/* Group 1200.787 downloaded from the LMFDB on 16 November 2025. */ /* Various presentations of this group are stored in this file: GPC is polycyclic presentation GPerm is permutation group GLZ, GLFp, GLZA, GLZq, GLFq if they exist are matrix groups Many characteristics of the group are stored as booleans in a record: Agroup, Zgroup, abelian, almost_simple,cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable The character table is stored as chartbl_n_i where n is the order of the group and i is which group of that order it is. Conjugacy classes are stored in the variable 'C' with elements from the group 'G'. */ /* Constructions */ GPC := PCGroup([7, -2, -2, -5, -2, -2, -3, -5, 36, 6163, 13730, 80, 15404, 13311, 102, 36965, 6732, 166, 23533]); a,b,c := Explode([GPC.1, GPC.2, GPC.4]); AssignNames(~GPC, ["a", "b", "b2", "c", "c2", "c4", "c12"]); GPerm := PermutationGroup< 17 | (1,2)(3,5)(4,8)(6,7)(9,10)(11,12)(13,14), (13,14)(16,17), (11,13,12,14), (1,3,4,7,9)(2,5,8,6,10), (11,12)(13,14), (15,16,17), (1,4,9,3,7)(2,6,5,10,8) >; GLZN := MatrixGroup< 2, Integers(55) | [[24, 40, 20, 9], [31, 15, 35, 1], [16, 0, 0, 16], [1, 11, 0, 1], [39, 50, 40, 49], [34, 0, 0, 1], [21, 0, 0, 21]] >; /* Booleans */ RF := recformat< Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable : BoolElt >; booleans_1200_787 := 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 |< 1, 1, Id(G)>,< 2, 1, c^30>,< 2, 5, b^5*c^24>,< 2, 5, b^5*c^42>,< 2, 6, a>,< 2, 6, a*c^5>,< 2, 30, a*b^5>,< 2, 30, a*b^5*c>,< 3, 2, c^40>,< 4, 2, c^15>,< 4, 10, b^5*c^51>,< 5, 1, b^4>,< 5, 1, b^6>,< 5, 1, b^8>,< 5, 1, b^2>,< 5, 2, c^24>,< 5, 2, c^48>,< 5, 2, b^4*c^24>,< 5, 2, b^6*c^36>,< 5, 2, b^8*c^48>,< 5, 2, b^2*c^12>,< 5, 2, b^4*c^48>,< 5, 2, b^6*c^12>,< 5, 2, b^8*c^36>,< 5, 2, b^2*c^24>,< 6, 2, c^50>,< 6, 10, b^5*c^44>,< 6, 10, b^5*c^22>,< 10, 1, b^2*c^30>,< 10, 1, b^8*c^30>,< 10, 1, b^6*c^30>,< 10, 1, b^4*c^30>,< 10, 2, c^6>,< 10, 2, c^18>,< 10, 2, b^2*c^6>,< 10, 2, b^8*c^54>,< 10, 2, b^6*c^18>,< 10, 2, b^4*c^42>,< 10, 2, b^4*c^6>,< 10, 2, b^6*c^54>,< 10, 2, b^2*c^18>,< 10, 2, b^8*c^42>,< 10, 5, b^3*c^24>,< 10, 5, b^7*c^24>,< 10, 5, b^9*c^24>,< 10, 5, b*c^24>,< 10, 5, b^3*c^42>,< 10, 5, b^7*c^42>,< 10, 5, b^9*c^42>,< 10, 5, b*c^42>,< 10, 6, a*b^2>,< 10, 6, a*b^8>,< 10, 6, a*b^6>,< 10, 6, a*b^4>,< 10, 6, a*b^2*c^5>,< 10, 6, a*b^8*c^5>,< 10, 6, a*b^6*c^5>,< 10, 6, a*b^4*c^5>,< 10, 12, a*c^12>,< 10, 12, a*c^4>,< 10, 12, a*c>,< 10, 12, a*c^13>,< 10, 12, a*b^2*c^12>,< 10, 12, a*b^8*c^12>,< 10, 12, a*b^6*c^4>,< 10, 12, a*b^4*c^4>,< 10, 12, a*b^2*c^4>,< 10, 12, a*b^8*c^4>,< 10, 12, a*b^6*c^12>,< 10, 12, a*b^4*c^12>,< 10, 12, a*b^2*c>,< 10, 12, a*b^8*c>,< 10, 12, a*b^6*c^13>,< 10, 12, a*b^4*c^13>,< 10, 12, a*b^4*c>,< 10, 12, a*b^6*c>,< 10, 12, a*b^2*c^13>,< 10, 12, a*b^8*c^13>,< 10, 30, a*b>,< 10, 30, a*b^9>,< 10, 30, a*b^3>,< 10, 30, a*b^7>,< 10, 30, a*b*c>,< 10, 30, a*b^9*c>,< 10, 30, a*b^3*c>,< 10, 30, a*b^7*c>,< 12, 2, c^25>,< 12, 2, c^5>,< 12, 10, b^5*c^41>,< 12, 10, b^5*c>,< 15, 2, b^2*c^20>,< 15, 2, b^8*c^40>,< 15, 2, b^4*c^40>,< 15, 2, b^6*c^20>,< 15, 4, c^4>,< 15, 4, c^8>,< 15, 4, b^8*c^4>,< 15, 4, b^2*c^56>,< 15, 4, b^6*c^8>,< 15, 4, b^4*c^52>,< 15, 4, b^6*c^4>,< 15, 4, b^4*c^56>,< 15, 4, b^2*c^8>,< 15, 4, b^8*c^52>,< 20, 2, b^6*c^15>,< 20, 2, b^4*c^45>,< 20, 2, b^8*c^45>,< 20, 2, b^2*c^15>,< 20, 4, c^3>,< 20, 4, c^9>,< 20, 4, b^6*c^3>,< 20, 4, b^4*c^57>,< 20, 4, b^8*c^9>,< 20, 4, b^2*c^51>,< 20, 4, b^2*c^3>,< 20, 4, b^8*c^57>,< 20, 4, b^6*c^9>,< 20, 4, b^4*c^51>,< 20, 10, b^3*c^51>,< 20, 10, b^7*c^21>,< 20, 10, b^9*c^21>,< 20, 10, b*c^51>,< 30, 2, b^4*c^10>,< 30, 2, b^6*c^50>,< 30, 2, b^8*c^10>,< 30, 2, b^2*c^50>,< 30, 4, c^2>,< 30, 4, c^14>,< 30, 4, b^4*c^2>,< 30, 4, b^6*c^58>,< 30, 4, b^8*c^14>,< 30, 4, b^2*c^46>,< 30, 4, b^8*c^2>,< 30, 4, b^2*c^58>,< 30, 4, b^6*c^14>,< 30, 4, b^4*c^46>,< 30, 10, b*c^4>,< 30, 10, b^9*c^4>,< 30, 10, b^7*c^4>,< 30, 10, b^3*c^4>,< 30, 10, b*c^2>,< 30, 10, b^9*c^2>,< 30, 10, b^7*c^2>,< 30, 10, b^3*c^2>,< 60, 2, b^2*c^5>,< 60, 2, b^8*c^5>,< 60, 2, b^4*c^25>,< 60, 2, b^6*c^25>,< 60, 2, b^6*c^5>,< 60, 2, b^4*c^5>,< 60, 2, b^8*c^25>,< 60, 2, b^2*c^25>,< 60, 4, c>,< 60, 4, c^17>,< 60, 4, c^13>,< 60, 4, c^29>,< 60, 4, b^2*c>,< 60, 4, b^8*c>,< 60, 4, b^4*c^17>,< 60, 4, b^6*c^17>,< 60, 4, b^6*c^13>,< 60, 4, b^4*c^13>,< 60, 4, b^8*c^29>,< 60, 4, b^2*c^29>,< 60, 4, b^4*c>,< 60, 4, b^6*c>,< 60, 4, b^8*c^17>,< 60, 4, b^2*c^17>,< 60, 4, b^2*c^13>,< 60, 4, b^8*c^13>,< 60, 4, b^6*c^29>,< 60, 4, b^4*c^29>,< 60, 10, b*c>,< 60, 10, b^9*c>,< 60, 10, b^7*c^5>,< 60, 10, b^3*c^5>,< 60, 10, b^3*c>,< 60, 10, b^7*c>,< 60, 10, b^9*c^5>,< 60, 10, b*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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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(5: Sparse := true); S := [ K |1,1,1,1,1,1,1,1,1,1,1,K.1^-2,K.1^2,K.1^-1,K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,1,1,K.1,K.1^2,1,1,1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,K.1,K.1^-2,K.1,K.1^2,1,K.1^2,K.1^-2,K.1^-1,K.1^-2,K.1,K.1^2,K.1,K.1^-1,K.1,K.1^-2,K.1^-1,K.1^-1,K.1^-2,K.1^2,K.1,K.1^2,K.1^-1,K.1^2,K.1,K.1^-2,K.1^-2,K.1,1,K.1,K.1^2,K.1^2,K.1^-2,1,1,K.1^2,K.1,K.1^-2,1,K.1^-1,K.1^-1,K.1^-1,K.1^2,K.1^-1,K.1^-1,K.1^2,K.1,K.1^-2,K.1^-2,K.1,1,1,1,1,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,K.1,1,K.1^-2,1,K.1^-2,K.1,K.1^-1,K.1^-2,K.1^2,1,1,K.1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1^-2,K.1^2,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,1,K.1,K.1^2,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-2,K.1^-1,K.1,K.1^2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^2,K.1,K.1,K.1^2,K.1^-1,1,K.1^2,K.1^-2,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,1,K.1^-1,1,1,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,K.1^-1,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,1,1,1,1,1,1,1,1,1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^2,K.1,1,1,K.1^-1,K.1^-2,1,1,1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,K.1^-1,K.1^2,K.1^-1,K.1^-2,1,K.1^-2,K.1^2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-1,K.1,K.1^-1,K.1^2,K.1,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-2,K.1,K.1^-2,K.1^-1,K.1^2,K.1^2,K.1^-1,1,K.1^-1,K.1^-2,K.1^-2,K.1^2,1,1,K.1^-2,K.1^-1,K.1^2,1,K.1,K.1,K.1,K.1^-2,K.1,K.1,K.1^-2,K.1^-1,K.1^2,K.1^2,K.1^-1,1,1,1,1,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,K.1^-1,1,K.1^2,1,K.1^2,K.1^-1,K.1,K.1^2,K.1^-2,1,1,K.1^-1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^2,K.1^-2,K.1^-2,K.1^2,K.1^-1,K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,1,K.1^-1,K.1^-2,K.1^-1,K.1^-2,K.1^2,K.1,K.1^2,K.1,K.1^-1,K.1^-2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-1,K.1^-2,K.1,1,K.1^-2,K.1^2,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,1,K.1,1,1,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,K.1,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,1,1,1,1,1,1,1,1,1,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,1,1,K.1^-2,K.1,1,1,1,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,K.1^-2,K.1^-1,K.1^-2,K.1,1,K.1,K.1^-1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^-2,K.1^2,K.1^-2,K.1^-1,K.1^2,K.1^2,K.1^-1,K.1,K.1^-2,K.1,K.1^2,K.1,K.1^-2,K.1^-1,K.1^-1,K.1^-2,1,K.1^-2,K.1,K.1,K.1^-1,1,1,K.1,K.1^-2,K.1^-1,1,K.1^2,K.1^2,K.1^2,K.1,K.1^2,K.1^2,K.1,K.1^-2,K.1^-1,K.1^-1,K.1^-2,1,1,1,1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-2,K.1^2,K.1^2,K.1,K.1^-2,1,K.1^-1,1,K.1^-1,K.1^-2,K.1^2,K.1^-1,K.1,1,1,K.1^-2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1^-1,K.1,K.1,K.1^-1,K.1^-2,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,1,K.1^-2,K.1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1,K.1^-2,K.1^-2,K.1,K.1^2,1,K.1,K.1^-1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,1,K.1^2,1,1,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,K.1^2,K.1,K.1,K.1^-1,K.1^2,K.1^-2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,1,1,1,1,1,1,1,1,1,K.1,K.1^-1,K.1^-2,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,1,1,K.1^2,K.1^-1,1,1,1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,K.1^2,K.1,K.1^2,K.1^-1,1,K.1^-1,K.1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1^2,K.1,K.1^-2,K.1^-2,K.1,K.1^-1,K.1^2,K.1^-1,K.1^-2,K.1^-1,K.1^2,K.1,K.1,K.1^2,1,K.1^2,K.1^-1,K.1^-1,K.1,1,1,K.1^-1,K.1^2,K.1,1,K.1^-2,K.1^-2,K.1^-2,K.1^-1,K.1^-2,K.1^-2,K.1^-1,K.1^2,K.1,K.1,K.1^2,1,1,1,1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,K.1^2,1,K.1,1,K.1,K.1^2,K.1^-2,K.1,K.1^-1,1,1,K.1^2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1,K.1^-1,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,1,K.1^2,K.1^-1,K.1^2,K.1^-1,K.1,K.1^-2,K.1,K.1^-2,K.1^2,K.1^-1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^2,K.1^-1,K.1^-2,1,K.1^-1,K.1,K.1,K.1^2,K.1^-1,K.1^-2,K.1,1,K.1^-2,1,1,K.1,K.1^-2,K.1^2,K.1^2,K.1,K.1^-2,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,-1,-1,1,1,1,1,-1,K.1^-2,K.1^2,K.1^-1,K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,1,1,K.1,K.1^2,1,-1,-1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,K.1,K.1^-2,K.1,K.1^2,1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1,-1*K.1,-1*K.1^2,-1*K.1^2,-1*K.1^-2,-1,-1,-1*K.1^2,-1*K.1,-1*K.1^-2,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-1,K.1^2,K.1^-1,K.1^-1,K.1^2,K.1,K.1^-2,K.1^-2,K.1,1,1,-1,-1,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,K.1,1,K.1^-2,1,K.1^-2,K.1,K.1^-1,K.1^-2,K.1^2,1,1,K.1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1^-2,K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,1,K.1,K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^2,K.1,K.1,K.1^2,K.1^-1,1,K.1^2,K.1^-2,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,1,K.1^-1,1,1,K.1^-2,K.1^-1,K.1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,-1,-1,1,1,1,1,-1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^2,K.1,1,1,K.1^-1,K.1^-2,1,-1,-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,K.1^-1,K.1^2,K.1^-1,K.1^-2,1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1,-1*K.1^-1,-1*K.1^-2,-1*K.1^-2,-1*K.1^2,-1,-1,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1,-1*K.1,-1*K.1,-1*K.1,K.1^-2,K.1,K.1,K.1^-2,K.1^-1,K.1^2,K.1^2,K.1^-1,1,1,-1,-1,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,K.1^-1,1,K.1^2,1,K.1^2,K.1^-1,K.1,K.1^2,K.1^-2,1,1,K.1^-1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^2,K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,1,K.1^-1,K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-1,K.1^-2,K.1,1,K.1^-2,K.1^2,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,1,K.1,1,1,K.1^2,K.1,K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,-1,-1,1,1,1,1,-1,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,1,1,K.1^-2,K.1,1,-1,-1,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,K.1^-2,K.1^-1,K.1^-2,K.1,1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1,-1*K.1^-2,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1,-1*K.1^2,-1*K.1^2,-1*K.1^2,K.1,K.1^2,K.1^2,K.1,K.1^-2,K.1^-1,K.1^-1,K.1^-2,1,1,-1,-1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-2,K.1^2,K.1^2,K.1,K.1^-2,1,K.1^-1,1,K.1^-1,K.1^-2,K.1^2,K.1^-1,K.1,1,1,K.1^-2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1^-1,K.1,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,1,K.1^-2,K.1,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1,K.1^-2,K.1^-2,K.1,K.1^2,1,K.1,K.1^-1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,1,K.1^2,1,1,K.1^-1,K.1^2,K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,-1,-1,1,1,1,1,-1,K.1,K.1^-1,K.1^-2,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,1,1,K.1^2,K.1^-1,1,-1,-1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,K.1^2,K.1,K.1^2,K.1^-1,1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^2,-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1,-1*K.1^-2,-1*K.1^-2,-1*K.1^-2,K.1^-1,K.1^-2,K.1^-2,K.1^-1,K.1^2,K.1,K.1,K.1^2,1,1,-1,-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,K.1^2,1,K.1,1,K.1,K.1^2,K.1^-2,K.1,K.1^-1,1,1,K.1^2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1,K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,1,K.1^2,K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^2,K.1^-1,K.1^-2,1,K.1^-1,K.1,K.1,K.1^2,K.1^-1,K.1^-2,K.1,1,K.1^-2,1,1,K.1,K.1^-2,K.1^2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,-1,1,1,-1,1,-1,1,K.1^-2,K.1^2,K.1^-1,K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,1,1,K.1,K.1^2,1,-1,-1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,K.1,K.1^-2,K.1,K.1^2,1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1,K.1^-2,K.1^-1,-1*K.1^-1,-1*K.1^-2,K.1^2,K.1,-1*K.1^2,K.1^-1,K.1^2,-1*K.1,K.1^-2,K.1^-2,-1*K.1,-1,K.1,K.1^2,-1*K.1^2,-1*K.1^-2,-1,1,-1*K.1^2,K.1,-1*K.1^-2,1,K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^2,K.1^-1,-1*K.1^-1,K.1^2,-1*K.1,K.1^-2,-1*K.1^-2,K.1,-1,-1,1,1,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,K.1,1,K.1^-2,1,K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,1,K.1,K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1,-1*K.1^-1,-1,-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,K.1,K.1^-2,K.1^-1,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,-1,1,1,-1,1,-1,1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^2,K.1,1,1,K.1^-1,K.1^-2,1,-1,-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,K.1^-1,K.1^2,K.1^-1,K.1^-2,1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^-1,K.1^2,K.1,-1*K.1,-1*K.1^2,K.1^-2,K.1^-1,-1*K.1^-2,K.1,K.1^-2,-1*K.1^-1,K.1^2,K.1^2,-1*K.1^-1,-1,K.1^-1,K.1^-2,-1*K.1^-2,-1*K.1^2,-1,1,-1*K.1^-2,K.1^-1,-1*K.1^2,1,K.1,-1*K.1,-1*K.1,-1*K.1^-2,K.1,-1*K.1,K.1^-2,-1*K.1^-1,K.1^2,-1*K.1^2,K.1^-1,-1,-1,1,1,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,K.1^-1,1,K.1^2,1,K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-2,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-2,K.1^-2,K.1^2,K.1^-1,K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,1,K.1^-1,K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1,-1*K.1,-1,-1,-1*K.1^2,-1*K.1,-1*K.1^-1,K.1^-1,K.1^2,K.1,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,-1,1,1,-1,1,-1,1,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,1,1,K.1^-2,K.1,1,-1,-1,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,K.1^-2,K.1^-1,K.1^-2,K.1,1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-2,K.1^-1,K.1^2,-1*K.1^2,-1*K.1^-1,K.1,K.1^-2,-1*K.1,K.1^2,K.1,-1*K.1^-2,K.1^-1,K.1^-1,-1*K.1^-2,-1,K.1^-2,K.1,-1*K.1,-1*K.1^-1,-1,1,-1*K.1,K.1^-2,-1*K.1^-1,1,K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1,K.1^2,-1*K.1^2,K.1,-1*K.1^-2,K.1^-1,-1*K.1^-1,K.1^-2,-1,-1,1,1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-2,K.1^2,K.1^2,K.1,K.1^-2,1,K.1^-1,1,K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1,-1,-1,-1*K.1^-2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1,K.1,K.1^-1,K.1^-2,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,1,K.1^-2,K.1,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1,-1*K.1^2,-1,-1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,K.1^-2,K.1^-1,K.1^2,K.1,K.1,K.1^-1,K.1^2,K.1^-2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,-1,1,1,-1,1,-1,1,K.1,K.1^-1,K.1^-2,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,1,1,K.1^2,K.1^-1,1,-1,-1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,K.1^2,K.1,K.1^2,K.1^-1,1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^2,K.1,K.1^-2,-1*K.1^-2,-1*K.1,K.1^-1,K.1^2,-1*K.1^-1,K.1^-2,K.1^-1,-1*K.1^2,K.1,K.1,-1*K.1^2,-1,K.1^2,K.1^-1,-1*K.1^-1,-1*K.1,-1,1,-1*K.1^-1,K.1^2,-1*K.1,1,K.1^-2,-1*K.1^-2,-1*K.1^-2,-1*K.1^-1,K.1^-2,-1*K.1^-2,K.1^-1,-1*K.1^2,K.1,-1*K.1,K.1^2,-1,-1,1,1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,K.1^2,1,K.1,1,K.1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1,-1,-1*K.1^2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-1,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,1,K.1^2,K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1,-1*K.1^-2,-1,-1,-1*K.1,-1*K.1^-2,-1*K.1^2,K.1^2,K.1,K.1^-2,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,1,-1,-1,1,1,-1,1,K.1^-2,K.1^2,K.1^-1,K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,1,1,K.1,K.1^2,1,-1,-1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,K.1,K.1^-2,K.1,K.1^2,1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-1,K.1,-1*K.1^-2,-1*K.1^-1,K.1^-1,K.1^-2,-1*K.1^2,-1*K.1,K.1^2,-1*K.1^-1,-1*K.1^2,K.1,-1*K.1^-2,-1*K.1^-2,K.1,1,-1*K.1,-1*K.1^2,K.1^2,K.1^-2,1,-1,K.1^2,-1*K.1,K.1^-2,-1,-1*K.1^-1,K.1^-1,K.1^-1,K.1^2,-1*K.1^-1,K.1^-1,-1*K.1^2,K.1,-1*K.1^-2,K.1^-2,-1*K.1,-1,-1,1,1,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,K.1,1,K.1^-2,1,K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,1,K.1,K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1,-1*K.1^-1,-1,-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,K.1,K.1^-2,K.1^-1,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,1,-1,-1,1,1,-1,1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^2,K.1,1,1,K.1^-1,K.1^-2,1,-1,-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,K.1^-1,K.1^2,K.1^-1,K.1^-2,1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,K.1^-1,-1*K.1^2,-1*K.1,K.1,K.1^2,-1*K.1^-2,-1*K.1^-1,K.1^-2,-1*K.1,-1*K.1^-2,K.1^-1,-1*K.1^2,-1*K.1^2,K.1^-1,1,-1*K.1^-1,-1*K.1^-2,K.1^-2,K.1^2,1,-1,K.1^-2,-1*K.1^-1,K.1^2,-1,-1*K.1,K.1,K.1,K.1^-2,-1*K.1,K.1,-1*K.1^-2,K.1^-1,-1*K.1^2,K.1^2,-1*K.1^-1,-1,-1,1,1,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,K.1^-1,1,K.1^2,1,K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-2,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-2,K.1^-2,K.1^2,K.1^-1,K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,1,K.1^-1,K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1,-1*K.1,-1,-1,-1*K.1^2,-1*K.1,-1*K.1^-1,K.1^-1,K.1^2,K.1,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,1,-1,-1,1,1,-1,1,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,1,1,K.1^-2,K.1,1,-1,-1,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,K.1^-2,K.1^-1,K.1^-2,K.1,1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^2,K.1^-2,-1*K.1^-1,-1*K.1^2,K.1^2,K.1^-1,-1*K.1,-1*K.1^-2,K.1,-1*K.1^2,-1*K.1,K.1^-2,-1*K.1^-1,-1*K.1^-1,K.1^-2,1,-1*K.1^-2,-1*K.1,K.1,K.1^-1,1,-1,K.1,-1*K.1^-2,K.1^-1,-1,-1*K.1^2,K.1^2,K.1^2,K.1,-1*K.1^2,K.1^2,-1*K.1,K.1^-2,-1*K.1^-1,K.1^-1,-1*K.1^-2,-1,-1,1,1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-2,K.1^2,K.1^2,K.1,K.1^-2,1,K.1^-1,1,K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1,-1,-1,-1*K.1^-2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1,K.1,K.1^-1,K.1^-2,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,1,K.1^-2,K.1,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1,-1*K.1^2,-1,-1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,K.1^-2,K.1^-1,K.1^2,K.1,K.1,K.1^-1,K.1^2,K.1^-2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,1,-1,-1,1,1,-1,1,K.1,K.1^-1,K.1^-2,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,1,1,K.1^2,K.1^-1,1,-1,-1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,K.1^2,K.1,K.1^2,K.1^-1,1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,K.1^2,-1*K.1,-1*K.1^-2,K.1^-2,K.1,-1*K.1^-1,-1*K.1^2,K.1^-1,-1*K.1^-2,-1*K.1^-1,K.1^2,-1*K.1,-1*K.1,K.1^2,1,-1*K.1^2,-1*K.1^-1,K.1^-1,K.1,1,-1,K.1^-1,-1*K.1^2,K.1,-1,-1*K.1^-2,K.1^-2,K.1^-2,K.1^-1,-1*K.1^-2,K.1^-2,-1*K.1^-1,K.1^2,-1*K.1,K.1,-1*K.1^2,-1,-1,1,1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,K.1^2,1,K.1,1,K.1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1,-1,-1*K.1^2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-1,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,1,K.1^2,K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1,-1*K.1^-2,-1,-1,-1*K.1,-1*K.1^-2,-1*K.1^2,K.1^2,K.1,K.1^-2,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,1,1,-1,-1,1,1,-1,K.1^-2,K.1^2,K.1^-1,K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,1,1,K.1,K.1^2,1,-1,-1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,K.1,K.1^-2,K.1,K.1^2,1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-1,K.1,K.1^-2,K.1^-1,K.1^-1,K.1^-2,K.1^2,K.1,K.1^2,K.1^-1,K.1^2,K.1,K.1^-2,K.1^-2,K.1,1,K.1,K.1^2,K.1^2,K.1^-2,1,1,K.1^2,K.1,K.1^-2,1,K.1^-1,K.1^-1,K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1,1,1,-1,-1,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,K.1,1,K.1^-2,1,K.1^-2,K.1,K.1^-1,K.1^-2,K.1^2,1,1,K.1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1^-2,K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,1,K.1,K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^2,K.1,K.1,K.1^2,K.1^-1,1,K.1^2,K.1^-2,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,1,K.1^-1,1,1,K.1^-2,K.1^-1,K.1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,1,1,-1,-1,1,1,-1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^2,K.1,1,1,K.1^-1,K.1^-2,1,-1,-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,K.1^-1,K.1^2,K.1^-1,K.1^-2,1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,K.1^-1,K.1^2,K.1,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-2,K.1,K.1^-2,K.1^-1,K.1^2,K.1^2,K.1^-1,1,K.1^-1,K.1^-2,K.1^-2,K.1^2,1,1,K.1^-2,K.1^-1,K.1^2,1,K.1,K.1,K.1,-1*K.1^-2,-1*K.1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,1,1,-1,-1,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,K.1^-1,1,K.1^2,1,K.1^2,K.1^-1,K.1,K.1^2,K.1^-2,1,1,K.1^-1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^2,K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,1,K.1^-1,K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-1,K.1^-2,K.1,1,K.1^-2,K.1^2,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,1,K.1,1,1,K.1^2,K.1,K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,1,1,-1,-1,1,1,-1,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,1,1,K.1^-2,K.1,1,-1,-1,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,K.1^-2,K.1^-1,K.1^-2,K.1,1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^2,K.1^-2,K.1^-1,K.1^2,K.1^2,K.1^-1,K.1,K.1^-2,K.1,K.1^2,K.1,K.1^-2,K.1^-1,K.1^-1,K.1^-2,1,K.1^-2,K.1,K.1,K.1^-1,1,1,K.1,K.1^-2,K.1^-1,1,K.1^2,K.1^2,K.1^2,-1*K.1,-1*K.1^2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,1,1,-1,-1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-2,K.1^2,K.1^2,K.1,K.1^-2,1,K.1^-1,1,K.1^-1,K.1^-2,K.1^2,K.1^-1,K.1,1,1,K.1^-2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1^-1,K.1,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,1,K.1^-2,K.1,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1,K.1^-2,K.1^-2,K.1,K.1^2,1,K.1,K.1^-1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,1,K.1^2,1,1,K.1^-1,K.1^2,K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,-1,-1,1,1,-1,-1,1,1,-1,K.1,K.1^-1,K.1^-2,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,1,1,K.1^2,K.1^-1,1,-1,-1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,K.1^2,K.1,K.1^2,K.1^-1,1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,K.1^2,K.1,K.1^-2,K.1^-2,K.1,K.1^-1,K.1^2,K.1^-1,K.1^-2,K.1^-1,K.1^2,K.1,K.1,K.1^2,1,K.1^2,K.1^-1,K.1^-1,K.1,1,1,K.1^-1,K.1^2,K.1,1,K.1^-2,K.1^-2,K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^2,1,1,-1,-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,K.1^2,1,K.1,1,K.1,K.1^2,K.1^-2,K.1,K.1^-1,1,1,K.1^2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1,K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,1,K.1^2,K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^2,K.1^-1,K.1^-2,1,K.1^-1,K.1,K.1,K.1^2,K.1^-1,K.1^-2,K.1,1,K.1^-2,1,1,K.1,K.1^-2,K.1^2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,1,1,-1,-1,-1,-1,1,1,1,K.1^-2,K.1^2,K.1^-1,K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,1,1,K.1,K.1^2,1,1,1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,K.1,K.1^-2,K.1,K.1^2,1,K.1^2,K.1^-2,K.1^-1,K.1^-2,K.1,K.1^2,K.1,K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1,-1*K.1,-1*K.1^2,-1*K.1^2,-1*K.1^-2,-1,-1,-1*K.1^2,-1*K.1,-1*K.1^-2,-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1,1,1,1,1,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,K.1,1,K.1^-2,1,K.1^-2,K.1,K.1^-1,K.1^-2,K.1^2,1,1,K.1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1^-2,K.1^2,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,1,K.1,K.1^2,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-2,K.1^-1,K.1,K.1^2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^2,K.1,K.1,K.1^2,K.1^-1,1,K.1^2,K.1^-2,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,1,K.1^-1,1,1,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,K.1^-1,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,1,1,-1,-1,-1,-1,1,1,1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^2,K.1,1,1,K.1^-1,K.1^-2,1,1,1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,K.1^-1,K.1^2,K.1^-1,K.1^-2,1,K.1^-2,K.1^2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-1,K.1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1,-1*K.1^-1,-1*K.1^-2,-1*K.1^-2,-1*K.1^2,-1,-1,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1,-1*K.1,-1*K.1,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,1,1,1,1,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,K.1^-1,1,K.1^2,1,K.1^2,K.1^-1,K.1,K.1^2,K.1^-2,1,1,K.1^-1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^2,K.1^-2,K.1^-2,K.1^2,K.1^-1,K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,1,K.1^-1,K.1^-2,K.1^-1,K.1^-2,K.1^2,K.1,K.1^2,K.1,K.1^-1,K.1^-2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-1,K.1^-2,K.1,1,K.1^-2,K.1^2,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,1,K.1,1,1,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,K.1,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,1,1,-1,-1,-1,-1,1,1,1,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,1,1,K.1^-2,K.1,1,1,1,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,K.1^-2,K.1^-1,K.1^-2,K.1,1,K.1,K.1^-1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^-2,K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1,-1*K.1^-2,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1,-1*K.1^2,-1*K.1^2,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,1,1,1,1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-2,K.1^2,K.1^2,K.1,K.1^-2,1,K.1^-1,1,K.1^-1,K.1^-2,K.1^2,K.1^-1,K.1,1,1,K.1^-2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1^-1,K.1,K.1,K.1^-1,K.1^-2,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,1,K.1^-2,K.1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1,K.1^-2,K.1^-2,K.1,K.1^2,1,K.1,K.1^-1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,1,K.1^2,1,1,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,K.1^2,K.1,K.1,K.1^-1,K.1^2,K.1^-2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,1,1,-1,-1,-1,-1,1,1,1,K.1,K.1^-1,K.1^-2,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,1,1,K.1^2,K.1^-1,1,1,1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,K.1^2,K.1,K.1^2,K.1^-1,1,K.1^-1,K.1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^2,K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^2,-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1,-1*K.1^-2,-1*K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^2,1,1,1,1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,K.1^2,1,K.1,1,K.1,K.1^2,K.1^-2,K.1,K.1^-1,1,1,K.1^2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1,K.1^-1,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,1,K.1^2,K.1^-1,K.1^2,K.1^-1,K.1,K.1^-2,K.1,K.1^-2,K.1^2,K.1^-1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^2,K.1^-1,K.1^-2,1,K.1^-1,K.1,K.1,K.1^2,K.1^-1,K.1^-2,K.1,1,K.1^-2,1,1,K.1,K.1^-2,K.1^2,K.1^2,K.1,K.1^-2,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,1,1,-1,1,-1,1,1,-1,-1,K.1^-2,K.1^2,K.1^-1,K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,1,1,K.1,K.1^2,1,1,1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,K.1,K.1^-2,K.1,K.1^2,1,K.1^2,K.1^-2,K.1^-1,K.1^-2,K.1,K.1^2,K.1,K.1^-1,-1*K.1,K.1^-2,K.1^-1,-1*K.1^-1,-1*K.1^-2,K.1^2,K.1,-1*K.1^2,K.1^-1,K.1^2,-1*K.1,K.1^-2,K.1^-2,-1*K.1,-1,K.1,K.1^2,-1*K.1^2,-1*K.1^-2,-1,1,-1*K.1^2,K.1,-1*K.1^-2,1,K.1^-1,-1*K.1^-1,-1*K.1^-1,K.1^2,-1*K.1^-1,K.1^-1,-1*K.1^2,K.1,-1*K.1^-2,K.1^-2,-1*K.1,-1,-1,-1,-1,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,K.1,1,K.1^-2,1,K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,1,K.1,K.1^2,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-2,K.1^-1,K.1,K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1,-1*K.1^-1,-1,-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,1,1,-1,1,-1,1,1,-1,-1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^2,K.1,1,1,K.1^-1,K.1^-2,1,1,1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,K.1^-1,K.1^2,K.1^-1,K.1^-2,1,K.1^-2,K.1^2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-1,K.1,-1*K.1^-1,K.1^2,K.1,-1*K.1,-1*K.1^2,K.1^-2,K.1^-1,-1*K.1^-2,K.1,K.1^-2,-1*K.1^-1,K.1^2,K.1^2,-1*K.1^-1,-1,K.1^-1,K.1^-2,-1*K.1^-2,-1*K.1^2,-1,1,-1*K.1^-2,K.1^-1,-1*K.1^2,1,K.1,-1*K.1,-1*K.1,K.1^-2,-1*K.1,K.1,-1*K.1^-2,K.1^-1,-1*K.1^2,K.1^2,-1*K.1^-1,-1,-1,-1,-1,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,K.1^-1,1,K.1^2,1,K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-2,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,1,K.1^-1,K.1^-2,K.1^-1,K.1^-2,K.1^2,K.1,K.1^2,K.1,K.1^-1,K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1,-1*K.1,-1,-1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,1,1,-1,1,-1,1,1,-1,-1,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,1,1,K.1^-2,K.1,1,1,1,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,K.1^-2,K.1^-1,K.1^-2,K.1,1,K.1,K.1^-1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^-2,K.1^2,-1*K.1^-2,K.1^-1,K.1^2,-1*K.1^2,-1*K.1^-1,K.1,K.1^-2,-1*K.1,K.1^2,K.1,-1*K.1^-2,K.1^-1,K.1^-1,-1*K.1^-2,-1,K.1^-2,K.1,-1*K.1,-1*K.1^-1,-1,1,-1*K.1,K.1^-2,-1*K.1^-1,1,K.1^2,-1*K.1^2,-1*K.1^2,K.1,-1*K.1^2,K.1^2,-1*K.1,K.1^-2,-1*K.1^-1,K.1^-1,-1*K.1^-2,-1,-1,-1,-1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-2,K.1^2,K.1^2,K.1,K.1^-2,1,K.1^-1,1,K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1,-1,-1,-1*K.1^-2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,1,K.1^-2,K.1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1,-1*K.1^2,-1,-1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,1,1,-1,1,-1,1,1,-1,-1,K.1,K.1^-1,K.1^-2,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,1,1,K.1^2,K.1^-1,1,1,1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,K.1^2,K.1,K.1^2,K.1^-1,1,K.1^-1,K.1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^2,K.1^-2,-1*K.1^2,K.1,K.1^-2,-1*K.1^-2,-1*K.1,K.1^-1,K.1^2,-1*K.1^-1,K.1^-2,K.1^-1,-1*K.1^2,K.1,K.1,-1*K.1^2,-1,K.1^2,K.1^-1,-1*K.1^-1,-1*K.1,-1,1,-1*K.1^-1,K.1^2,-1*K.1,1,K.1^-2,-1*K.1^-2,-1*K.1^-2,K.1^-1,-1*K.1^-2,K.1^-2,-1*K.1^-1,K.1^2,-1*K.1,K.1,-1*K.1^2,-1,-1,-1,-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,K.1^2,1,K.1,1,K.1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1,-1,-1*K.1^2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,1,K.1^2,K.1^-1,K.1^2,K.1^-1,K.1,K.1^-2,K.1,K.1^-2,K.1^2,K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1,-1*K.1^-2,-1,-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,1,1,1,-1,1,-1,1,-1,-1,K.1^-2,K.1^2,K.1^-1,K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,1,1,K.1,K.1^2,1,1,1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,K.1,K.1^-2,K.1,K.1^2,1,K.1^2,K.1^-2,K.1^-1,K.1^-2,K.1,K.1^2,K.1,K.1^-1,K.1,-1*K.1^-2,-1*K.1^-1,K.1^-1,K.1^-2,-1*K.1^2,-1*K.1,K.1^2,-1*K.1^-1,-1*K.1^2,K.1,-1*K.1^-2,-1*K.1^-2,K.1,1,-1*K.1,-1*K.1^2,K.1^2,K.1^-2,1,-1,K.1^2,-1*K.1,K.1^-2,-1,-1*K.1^-1,K.1^-1,K.1^-1,-1*K.1^2,K.1^-1,-1*K.1^-1,K.1^2,-1*K.1,K.1^-2,-1*K.1^-2,K.1,-1,-1,-1,-1,K.1^2,K.1^-2,K.1^-1,K.1,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,K.1,1,K.1^-2,1,K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-1,K.1^-2,1,1,K.1,K.1^2,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-2,K.1^-1,K.1,K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1,-1*K.1^-1,-1,-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,1,1,1,-1,1,-1,1,-1,-1,K.1^2,K.1^-2,K.1,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^2,K.1,1,1,K.1^-1,K.1^-2,1,1,1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,K.1^-1,K.1^2,K.1^-1,K.1^-2,1,K.1^-2,K.1^2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-1,K.1,K.1^-1,-1*K.1^2,-1*K.1,K.1,K.1^2,-1*K.1^-2,-1*K.1^-1,K.1^-2,-1*K.1,-1*K.1^-2,K.1^-1,-1*K.1^2,-1*K.1^2,K.1^-1,1,-1*K.1^-1,-1*K.1^-2,K.1^-2,K.1^2,1,-1,K.1^-2,-1*K.1^-1,K.1^2,-1,-1*K.1,K.1,K.1,-1*K.1^-2,K.1,-1*K.1,K.1^-2,-1*K.1^-1,K.1^2,-1*K.1^2,K.1^-1,-1,-1,-1,-1,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,K.1^-1,1,K.1^2,1,K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-2,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1,K.1,K.1^-1,K.1^2,K.1^-2,K.1^2,K.1^-1,K.1^-2,K.1,K.1,K.1^2,1,1,K.1^-1,K.1^-2,K.1^-1,K.1^-2,K.1^2,K.1,K.1^2,K.1,K.1^-1,K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1,-1*K.1,-1,-1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,1,1,1,-1,1,-1,1,-1,-1,K.1^-1,K.1,K.1^2,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,1,1,K.1^-2,K.1,1,1,1,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,K.1^-2,K.1^-1,K.1^-2,K.1,1,K.1,K.1^-1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^-2,K.1^2,K.1^-2,-1*K.1^-1,-1*K.1^2,K.1^2,K.1^-1,-1*K.1,-1*K.1^-2,K.1,-1*K.1^2,-1*K.1,K.1^-2,-1*K.1^-1,-1*K.1^-1,K.1^-2,1,-1*K.1^-2,-1*K.1,K.1,K.1^-1,1,-1,K.1,-1*K.1^-2,K.1^-1,-1,-1*K.1^2,K.1^2,K.1^2,-1*K.1,K.1^2,-1*K.1^2,K.1,-1*K.1^-2,K.1^-1,-1*K.1^-1,K.1^-2,-1,-1,-1,-1,K.1,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-2,K.1^2,K.1^2,K.1,K.1^-2,1,K.1^-1,1,K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1,-1,-1,-1*K.1^-2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^2,K.1^-1,1,1,K.1^-2,K.1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1,-1*K.1^2,-1,-1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |1,1,1,1,1,-1,1,-1,1,-1,-1,K.1,K.1^-1,K.1^-2,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,1,1,K.1^2,K.1^-1,1,1,1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,K.1^2,K.1,K.1^2,K.1^-1,1,K.1^-1,K.1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1^2,-1*K.1,-1*K.1^-2,K.1^-2,K.1,-1*K.1^-1,-1*K.1^2,K.1^-1,-1*K.1^-2,-1*K.1^-1,K.1^2,-1*K.1,-1*K.1,K.1^2,1,-1*K.1^2,-1*K.1^-1,K.1^-1,K.1,1,-1,K.1^-1,-1*K.1^2,K.1,-1,-1*K.1^-2,K.1^-2,K.1^-2,-1*K.1^-1,K.1^-2,-1*K.1^-2,K.1^-1,-1*K.1^2,K.1,-1*K.1,K.1^2,-1,-1,-1,-1,K.1^-1,K.1,K.1^-2,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,K.1^2,1,K.1,1,K.1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1,-1,-1*K.1^2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1,K.1,K.1^2,K.1^-1,K.1^-2,K.1^-2,K.1,1,1,K.1^2,K.1^-1,K.1^2,K.1^-1,K.1,K.1^-2,K.1,K.1^-2,K.1^2,K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1,-1*K.1^-2,-1,-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1,-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, 0, 0, 0, 0, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, -2, -2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, -2, 2, -2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, -2, -2, 0, 0, 0, 0, -1, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, -2, -2, 0, 0, 0, 0, -1, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, 2, 2, 0, 0, 0, 0, -1, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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(5: Sparse := true); S := [ K |2,2,0,0,2,2,0,0,2,2,0,2,2,2,2,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,K.1+K.1^-1,K.1+K.1^-1,2,0,0,2,2,2,2,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,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,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+K.1^-1,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.1^2+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+K.1^-1,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,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^-1,2,2,2,2,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.1^2+K.1^-2,K.1^2+K.1^-2,0,0,0,0,2,2,2,2,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^-2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,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,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.1^2+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.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,2,0,0,2,2,0,2,2,2,2,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.1^2+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^-2,2,0,0,2,2,2,2,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,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^-2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,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+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.1^2+K.1^-2,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,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^-2,2,2,2,2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,K.1^2+K.1^-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^-1,0,0,0,0,2,2,2,2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-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^-1,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,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,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.1^2+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+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,-2,0,0,2,2,0,2,2,2,2,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,K.1+K.1^-1,K.1+K.1^-1,2,0,0,2,2,2,2,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,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,0,0,0,0,0,0,0,0,-2,-2,-2,-2,-2,-2,-2,-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-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-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-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-K.1^-1,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,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^-1,2,2,2,2,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.1^2+K.1^-2,K.1^2+K.1^-2,0,0,0,0,2,2,2,2,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^-2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,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,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.1^2+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.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,-2,0,0,2,2,0,2,2,2,2,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.1^2+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^-2,2,0,0,2,2,2,2,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,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^-2,0,0,0,0,0,0,0,0,-2,-2,-2,-2,-2,-2,-2,-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.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-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.1^2-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.1^2-K.1^-2,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,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^-2,2,2,2,2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,K.1^2+K.1^-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^-1,0,0,0,0,2,2,2,2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-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^-1,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,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,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.1^2+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+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,2,0,0,2,-2,0,2,2,2,2,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,K.1+K.1^-1,K.1+K.1^-1,2,0,0,2,2,2,2,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,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,0,0,0,0,0,0,0,0,-2,2,2,-2,-2,2,2,-2,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+K.1^-1,-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.1^2+K.1^-2,-1*K.1-K.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,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,0,0,0,0,0,0,0,0,-2,-2,0,0,2,2,2,2,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,-2,-2,-2,-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.1^2-K.1^-2,-1*K.1^2-K.1^-2,0,0,0,0,2,2,2,2,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^-2,0,0,0,0,0,0,0,0,-2,-2,-2,-2,-2,-2,-2,-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,-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.1^2-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.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,2,0,0,2,-2,0,2,2,2,2,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.1^2+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^-2,2,0,0,2,2,2,2,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,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^-2,0,0,0,0,0,0,0,0,-2,2,2,-2,-2,2,2,-2,K.1^2+K.1^-2,K.1+K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,-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+K.1^-1,-1*K.1^2-K.1^-2,K.1^2+K.1^-2,-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^-2,0,0,0,0,0,0,0,0,-2,-2,0,0,2,2,2,2,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,-2,-2,-2,-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.1^2-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^-1,0,0,0,0,2,2,2,2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-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^-1,0,0,0,0,0,0,0,0,-2,-2,-2,-2,-2,-2,-2,-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,-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.1^2-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-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,-2,0,0,2,-2,0,2,2,2,2,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,K.1+K.1^-1,K.1+K.1^-1,2,0,0,2,2,2,2,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,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,0,0,0,0,0,0,0,0,2,-2,-2,2,2,-2,-2,2,-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,-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-K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,-1*K.1^2-K.1^-2,K.1+K.1^-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,K.1^2+K.1^-2,K.1+K.1^-1,0,0,0,0,0,0,0,0,-2,-2,0,0,2,2,2,2,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,-2,-2,-2,-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.1^2-K.1^-2,-1*K.1^2-K.1^-2,0,0,0,0,2,2,2,2,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^-2,0,0,0,0,0,0,0,0,-2,-2,-2,-2,-2,-2,-2,-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,-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.1^2-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.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,-2,0,0,2,-2,0,2,2,2,2,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.1^2+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^-2,2,0,0,2,2,2,2,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,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^-2,0,0,0,0,0,0,0,0,2,-2,-2,2,2,-2,-2,2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1,-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.1^2-K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,K.1^2+K.1^-2,-1*K.1-K.1^-1,K.1^2+K.1^-2,-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,K.1+K.1^-1,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,-2,-2,0,0,2,2,2,2,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,-2,-2,-2,-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.1^2-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^-1,0,0,0,0,2,2,2,2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-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^-1,0,0,0,0,0,0,0,0,-2,-2,-2,-2,-2,-2,-2,-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,-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.1^2-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-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(12: Sparse := true); S := [ K |2,-2,-2,2,0,0,0,0,-1,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,-1,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,2,-2,-2,2,-2,-2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1-K.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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,-1,1,1,-1,-1,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-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*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,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,-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*K.1-K.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,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,-2,2,0,0,0,0,-1,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,-1,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,2,-2,-2,2,-2,-2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1+K.1^-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,-1,1,1,-1,-1,-1*K.1-K.1^-1,K.1+K.1^-1,K.1+K.1^-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,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,-1*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,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,K.1+K.1^-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*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(12: Sparse := true); S := [ K |2,-2,2,-2,0,0,0,0,-1,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,-1,1,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,2,2,-2,2,2,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,-1,1,1,-1,-1,1,1,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-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*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,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,-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*K.1-K.1^-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*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(12: Sparse := true); S := [ K |2,-2,2,-2,0,0,0,0,-1,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,-1,1,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,2,2,-2,2,2,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,-1,1,1,-1,-1,1,1,-1*K.1-K.1^-1,K.1+K.1^-1,K.1+K.1^-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,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,-1*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,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,K.1+K.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,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 |2,2,0,0,2,2,0,0,2,2,0,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,-1-K.1-K.1^2,K.1+K.1^2,1+K.1^-1,-1-K.1-K.1^-2,1+K.1,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1^2,K.1+K.1^-2,2,0,0,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,1+K.1^-1,1+K.1^-2,K.1+K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^2,1+K.1,-1-K.1-K.1^2,K.1+K.1^-2,K.1+K.1^-1,0,0,0,0,0,0,0,0,2*K.1,2*K.1^-2,2*K.1^-1,2*K.1^-1,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^2,1+K.1^-2,1+K.1^-1,-1-K.1-K.1^2,1+K.1,-1-K.1-K.1^-2,1+K.1^2,K.1^2+K.1^-2,-1-K.1-K.1^2,K.1+K.1^-2,1+K.1^-1,-1-K.1-K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-2,1+K.1^2,1+K.1,K.1+K.1^-1,K.1+K.1^2,K.1+K.1^2,1+K.1^-2,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,K.1+K.1^-2,1+K.1^2,1+K.1^-2,K.1+K.1^2,1+K.1^-1,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1,K.1^2+K.1^-2,-1-K.1-K.1^-2,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,-1-K.1-K.1^2,1+K.1^-2,1+K.1^2,-1-K.1-K.1^-2,K.1+K.1^-2,K.1+K.1^2,1+K.1,1+K.1^-1,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,-1-K.1-K.1^-2,1+K.1^2,K.1+K.1^-2,1+K.1^-2,K.1+K.1^2,1+K.1,K.1^2+K.1^-2,K.1+K.1^-1,-1-K.1-K.1^2,1+K.1^-1,0,0,0,0,0,0,0,0,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,K.1+K.1^-2,-1-K.1-K.1^2,1+K.1^2,1+K.1^-1,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-2,1+K.1,-1-K.1-K.1^-2,1+K.1^2,1+K.1^-1,K.1+K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,1+K.1,K.1+K.1^2,-1-K.1-K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,2,0,0,2,2,0,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,K.1+K.1^2,-1-K.1-K.1^2,1+K.1,K.1+K.1^-2,1+K.1^-1,1+K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1^-2,-1-K.1-K.1^-2,2,0,0,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,1+K.1,1+K.1^2,-1-K.1-K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^-2,1+K.1^-1,K.1+K.1^2,-1-K.1-K.1^-2,K.1+K.1^-1,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1^2,2*K.1,2*K.1,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1^-2,1+K.1^2,1+K.1,K.1+K.1^2,1+K.1^-1,K.1+K.1^-2,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^2,-1-K.1-K.1^-2,1+K.1,K.1+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,-1-K.1-K.1^-2,1+K.1^-2,1+K.1^-1,K.1+K.1^-1,-1-K.1-K.1^2,-1-K.1-K.1^2,1+K.1^2,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,-1-K.1-K.1^-2,1+K.1^-2,1+K.1^2,-1-K.1-K.1^2,1+K.1,K.1+K.1^2,K.1+K.1^-1,1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-2,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^2,1+K.1^2,1+K.1^-2,K.1+K.1^-2,-1-K.1-K.1^-2,-1-K.1-K.1^2,1+K.1^-1,1+K.1,0,0,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,K.1+K.1^-2,1+K.1^-2,-1-K.1-K.1^-2,1+K.1^2,-1-K.1-K.1^2,1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^2,1+K.1,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,-1-K.1-K.1^-2,K.1+K.1^2,1+K.1^-2,1+K.1,1+K.1^2,K.1^2+K.1^-2,-1-K.1-K.1^-2,1+K.1^-1,K.1+K.1^-2,1+K.1^-2,1+K.1,-1-K.1-K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^-1,K.1+K.1^-1,1+K.1^-1,-1-K.1-K.1^2,K.1+K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,2,0,0,2,2,0,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-2,1+K.1^2,K.1+K.1^2,1+K.1^-2,1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1,-1-K.1-K.1^2,2,0,0,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,1+K.1^2,1+K.1^-1,K.1+K.1^-2,K.1+K.1^2,K.1+K.1^-1,1+K.1,1+K.1^-2,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,2*K.1^-2,2*K.1^-1,2*K.1^2,2*K.1^2,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1,1+K.1^-1,1+K.1^2,-1-K.1-K.1^-2,1+K.1^-2,K.1+K.1^2,1+K.1,K.1+K.1^-1,-1-K.1-K.1^-2,-1-K.1-K.1^2,1+K.1^2,K.1+K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,-1-K.1-K.1^2,1+K.1,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-2,K.1+K.1^-2,1+K.1^-1,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,-1-K.1-K.1^2,1+K.1,1+K.1^-1,K.1+K.1^-2,1+K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^-2,K.1+K.1^-1,K.1+K.1^2,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,K.1+K.1^-1,K.1^2+K.1^-2,-1-K.1-K.1^-2,1+K.1^-1,1+K.1,K.1+K.1^2,-1-K.1-K.1^2,K.1+K.1^-2,1+K.1^-2,1+K.1^2,0,0,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,K.1+K.1^2,1+K.1,-1-K.1-K.1^2,1+K.1^-1,K.1+K.1^-2,1+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,-1-K.1-K.1^-2,1+K.1^2,0,0,0,0,0,0,0,0,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,-1-K.1-K.1^2,-1-K.1-K.1^-2,1+K.1,1+K.1^2,1+K.1^-1,K.1+K.1^-1,-1-K.1-K.1^2,1+K.1^-2,K.1+K.1^2,1+K.1,1+K.1^2,K.1+K.1^-2,K.1+K.1^2,K.1+K.1^-1,1+K.1^-1,K.1^2+K.1^-2,K.1^2+K.1^-2,1+K.1^-2,K.1+K.1^-2,-1-K.1-K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,2,0,0,2,2,0,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,K.1+K.1^-2,-1-K.1-K.1^-2,1+K.1^-2,-1-K.1-K.1^2,1+K.1^2,1+K.1,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^-1,K.1+K.1^2,2,0,0,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,1+K.1^-2,1+K.1,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1^-1,1+K.1^2,K.1+K.1^-2,K.1+K.1^2,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,2*K.1^2,2*K.1,2*K.1^-2,2*K.1^-2,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-1,1+K.1,1+K.1^-2,K.1+K.1^-2,1+K.1^2,-1-K.1-K.1^2,1+K.1^-1,K.1+K.1^-1,K.1+K.1^-2,K.1+K.1^2,1+K.1^-2,-1-K.1-K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^2,1+K.1^-1,1+K.1^2,K.1^2+K.1^-2,-1-K.1-K.1^-2,-1-K.1-K.1^-2,1+K.1,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,K.1+K.1^2,1+K.1^-1,1+K.1,-1-K.1-K.1^-2,1+K.1^-2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^-1,-1-K.1-K.1^2,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-2,1+K.1,1+K.1^-1,-1-K.1-K.1^2,K.1+K.1^2,-1-K.1-K.1^-2,1+K.1^2,1+K.1^-2,0,0,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,-1-K.1-K.1^2,1+K.1^-1,K.1+K.1^2,1+K.1,-1-K.1-K.1^-2,1+K.1^2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-2,1+K.1^-2,0,0,0,0,0,0,0,0,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,K.1+K.1^2,K.1+K.1^-2,1+K.1^-1,1+K.1^-2,1+K.1,K.1+K.1^-1,K.1+K.1^2,1+K.1^2,-1-K.1-K.1^2,1+K.1^-1,1+K.1^-2,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1,K.1^2+K.1^-2,K.1^2+K.1^-2,1+K.1^2,-1-K.1-K.1^-2,K.1+K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,2,0,0,2,2,0,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,1+K.1^2,1+K.1^-2,K.1+K.1^-2,1+K.1,-1-K.1-K.1^-2,K.1+K.1^2,K.1+K.1^-1,K.1^2+K.1^-2,-1-K.1-K.1^2,1+K.1^-1,2,0,0,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,K.1+K.1^-2,K.1+K.1^2,1+K.1^-2,1+K.1,K.1+K.1^-1,-1-K.1-K.1^2,-1-K.1-K.1^-2,1+K.1^2,1+K.1^-1,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,2*K.1,2*K.1^-2,2*K.1^-1,2*K.1^-1,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^2,K.1+K.1^2,K.1+K.1^-2,1+K.1^2,-1-K.1-K.1^-2,1+K.1,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1^2,1+K.1^-1,K.1+K.1^-2,1+K.1,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1^-1,-1-K.1-K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^-2,1+K.1^-2,K.1+K.1^2,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,1+K.1^-1,-1-K.1-K.1^2,K.1+K.1^2,1+K.1^-2,K.1+K.1^-2,1+K.1^2,K.1^2+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-1,1+K.1,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^2,-1-K.1-K.1^2,1+K.1,1+K.1^-1,1+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-2,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,1+K.1,-1-K.1-K.1^2,1+K.1^-1,K.1+K.1^2,1+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^-2,0,0,0,0,0,0,0,0,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,1+K.1^-1,1+K.1^2,-1-K.1-K.1^2,K.1+K.1^-2,K.1+K.1^2,K.1+K.1^-1,1+K.1^-1,-1-K.1-K.1^-2,1+K.1,-1-K.1-K.1^2,K.1+K.1^-2,1+K.1^-2,1+K.1,K.1+K.1^-1,K.1+K.1^2,K.1^2+K.1^-2,K.1^2+K.1^-2,-1-K.1-K.1^-2,1+K.1^-2,1+K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,2,0,0,2,2,0,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,1+K.1^-2,1+K.1^2,-1-K.1-K.1^-2,1+K.1^-1,K.1+K.1^-2,-1-K.1-K.1^2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^2,1+K.1,2,0,0,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,-1-K.1-K.1^-2,-1-K.1-K.1^2,1+K.1^2,1+K.1^-1,K.1+K.1^-1,K.1+K.1^2,K.1+K.1^-2,1+K.1^-2,1+K.1,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1^2,2*K.1,2*K.1,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1^-2,-1-K.1-K.1^2,-1-K.1-K.1^-2,1+K.1^-2,K.1+K.1^-2,1+K.1^-1,K.1+K.1^2,K.1+K.1^-1,1+K.1^-2,1+K.1,-1-K.1-K.1^-2,1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1,K.1+K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^2,1+K.1^2,-1-K.1-K.1^2,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,1+K.1,K.1+K.1^2,-1-K.1-K.1^2,1+K.1^2,-1-K.1-K.1^-2,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-2,K.1+K.1^-1,1+K.1^-1,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^-2,-1-K.1-K.1^2,K.1+K.1^2,1+K.1^-1,1+K.1,1+K.1^2,K.1+K.1^-2,-1-K.1-K.1^-2,0,0,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,1+K.1^-1,K.1+K.1^2,1+K.1,-1-K.1-K.1^2,1+K.1^2,K.1+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^-2,-1-K.1-K.1^-2,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,1+K.1,1+K.1^-2,K.1+K.1^2,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1,K.1+K.1^-2,1+K.1^-1,K.1+K.1^2,-1-K.1-K.1^-2,1+K.1^2,1+K.1^-1,K.1+K.1^-1,-1-K.1-K.1^2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-2,1+K.1^2,1+K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,2,0,0,2,2,0,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,1+K.1,1+K.1^-1,-1-K.1-K.1^2,1+K.1^-2,K.1+K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,-1-K.1-K.1^-2,1+K.1^2,2,0,0,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,-1-K.1-K.1^2,K.1+K.1^-2,1+K.1^-1,1+K.1^-2,K.1^2+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^2,1+K.1,1+K.1^2,K.1+K.1^-1,0,0,0,0,0,0,0,0,2*K.1^-2,2*K.1^-1,2*K.1^2,2*K.1^2,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1,K.1+K.1^-2,-1-K.1-K.1^2,1+K.1,K.1+K.1^2,1+K.1^-2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1,1+K.1^2,-1-K.1-K.1^2,1+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^2,-1-K.1-K.1^-2,K.1+K.1^2,K.1+K.1^-1,1+K.1^-1,1+K.1^-1,K.1+K.1^-2,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,1+K.1^2,-1-K.1-K.1^-2,K.1+K.1^-2,1+K.1^-1,-1-K.1-K.1^2,1+K.1,K.1+K.1^-1,K.1+K.1^2,K.1^2+K.1^-2,1+K.1^-2,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1,K.1+K.1^-2,-1-K.1-K.1^-2,1+K.1^-2,1+K.1^2,1+K.1^-1,K.1+K.1^2,-1-K.1-K.1^2,0,0,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,1+K.1^-2,-1-K.1-K.1^-2,1+K.1^2,K.1+K.1^-2,1+K.1^-1,K.1+K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1,-1-K.1-K.1^2,0,0,0,0,0,0,0,0,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,1+K.1^2,1+K.1,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^2,1+K.1^-2,-1-K.1-K.1^-2,-1-K.1-K.1^2,1+K.1^-1,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^2,1+K.1^-1,1+K.1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,2,0,0,2,2,0,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,1+K.1^-1,1+K.1,K.1+K.1^2,1+K.1^2,-1-K.1-K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-2,1+K.1^-2,2,0,0,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,K.1+K.1^2,-1-K.1-K.1^-2,1+K.1,1+K.1^2,K.1^2+K.1^-2,K.1+K.1^-2,-1-K.1-K.1^2,1+K.1^-1,1+K.1^-2,K.1+K.1^-1,0,0,0,0,0,0,0,0,2*K.1^2,2*K.1,2*K.1^-2,2*K.1^-2,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-1,-1-K.1-K.1^-2,K.1+K.1^2,1+K.1^-1,-1-K.1-K.1^2,1+K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^-1,1+K.1^-2,K.1+K.1^2,1+K.1^2,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^-2,K.1+K.1^-2,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1,1+K.1,-1-K.1-K.1^-2,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,1+K.1^-2,K.1+K.1^-2,-1-K.1-K.1^-2,1+K.1,K.1+K.1^2,1+K.1^-1,K.1+K.1^-1,-1-K.1-K.1^2,K.1^2+K.1^-2,1+K.1^2,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1^-1,-1-K.1-K.1^-2,K.1+K.1^-2,1+K.1^2,1+K.1^-2,1+K.1,-1-K.1-K.1^2,K.1+K.1^2,0,0,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,1+K.1^2,K.1+K.1^-2,1+K.1^-2,-1-K.1-K.1^-2,1+K.1,-1-K.1-K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1^-1,K.1+K.1^2,0,0,0,0,0,0,0,0,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,1+K.1^-2,1+K.1^-1,K.1+K.1^-2,K.1+K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^-2,-1-K.1-K.1^2,1+K.1^2,K.1+K.1^-2,K.1+K.1^2,1+K.1,1+K.1^2,K.1^2+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-1,K.1+K.1^-1,-1-K.1-K.1^2,1+K.1,1+K.1^-1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,2,2,0,0,0,0,-1,2,2,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,2*K.1^-2,2*K.1^-1,2,2,2*K.1,2*K.1^2,-1,-1,-1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-1,2*K.1^-2,2,2*K.1,2*K.1^-2,2*K.1,2*K.1^2,2,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1,2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1,-1*K.1^-2,-1,-1*K.1^-2,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,2,2,2*K.1,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1^2,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1,-1,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1,-1*K.1^-1,-1,-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,2,2,0,0,0,0,-1,2,2,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,2*K.1^2,2*K.1,2,2,2*K.1^-1,2*K.1^-2,-1,-1,-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1,2*K.1^2,2,2*K.1^-1,2*K.1^2,2*K.1^-1,2*K.1^-2,2,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*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,-1,-1,-1,-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1,-1*K.1^2,-1,-1*K.1^2,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,2,2,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-2,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1,-1*K.1^2,-1,-1,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1,-1*K.1,-1,-1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,2,2,0,0,0,0,-1,2,2,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1^2,2,2,2*K.1^-2,2*K.1,-1,-1,-1,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^2,2*K.1^-1,2,2*K.1^-2,2*K.1^-1,2*K.1^-2,2*K.1,2,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^-2,2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1,-1*K.1^-1,-1,-1*K.1^-1,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,2,2,2*K.1^-2,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1,-1,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1,-1*K.1^2,-1,-1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,2,2,0,0,0,0,-1,2,2,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-2,2,2,2*K.1^2,2*K.1^-1,-1,-1,-1,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1^-2,2*K.1,2,2*K.1^2,2*K.1,2*K.1^2,2*K.1^-1,2,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^2,2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1,-1*K.1,-1,-1*K.1,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,2,2,2*K.1^2,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1,-1,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1,-1*K.1^-2,-1,-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,-2,-2,2,0,0,0,0,2,0,0,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,2*K.1^-2,2*K.1^-1,2,2,2*K.1,2*K.1^2,-2,-2,2,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-1,-2*K.1^-2,-2,-2*K.1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2,2*K.1^2,-2*K.1^-2,-2*K.1^-1,2*K.1^-2,-2*K.1,-2*K.1^2,2*K.1,2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,2*K.1^2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1^2,2*K.1,2,2*K.1^-2,2,2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-1,-2*K.1^-2,-2,-2,-2*K.1,-2*K.1^2,-2*K.1,-2*K.1^2,2*K.1^-2,2*K.1^-1,-2*K.1^-2,-2*K.1^-1,2*K.1,2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,-2,-2,2,0,0,0,0,2,0,0,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,2*K.1^2,2*K.1,2,2,2*K.1^-1,2*K.1^-2,-2,-2,2,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1,-2*K.1^2,-2,-2*K.1^-1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2,2*K.1^-2,-2*K.1^2,-2*K.1,2*K.1^2,-2*K.1^-1,-2*K.1^-2,2*K.1^-1,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-2,2*K.1^-1,2,2*K.1^2,2,2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1,-2*K.1^2,-2,-2,-2*K.1^-1,-2*K.1^-2,-2*K.1^-1,-2*K.1^-2,2*K.1^2,2*K.1,-2*K.1^2,-2*K.1,2*K.1^-1,2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,-2,-2,2,0,0,0,0,2,0,0,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1^2,2,2,2*K.1^-2,2*K.1,-2,-2,2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^2,-2*K.1^-1,-2,-2*K.1^-2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2,2*K.1,-2*K.1^-1,-2*K.1^2,2*K.1^-1,-2*K.1^-2,-2*K.1,2*K.1^-2,2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-2,2*K.1^2,2*K.1^2,2*K.1,2*K.1^-2,2,2*K.1^-1,2,2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^2,-2*K.1^-1,-2,-2,-2*K.1^-2,-2*K.1,-2*K.1^-2,-2*K.1,2*K.1^-1,2*K.1^2,-2*K.1^-1,-2*K.1^2,2*K.1^-2,2*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]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,-2,-2,2,0,0,0,0,2,0,0,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-2,2,2,2*K.1^2,2*K.1^-1,-2,-2,2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1^-2,-2*K.1,-2,-2*K.1^2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2,2*K.1^-1,-2*K.1,-2*K.1^-2,2*K.1,-2*K.1^2,-2*K.1^-1,2*K.1^2,2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1^2,2*K.1^-2,2*K.1^-2,2*K.1^-1,2*K.1^2,2,2*K.1,2,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1^-2,-2*K.1,-2,-2,-2*K.1^2,-2*K.1^-1,-2*K.1^2,-2*K.1^-1,2*K.1,2*K.1^-2,-2*K.1,-2*K.1^-2,2*K.1^2,2*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]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,-2,2,-2,0,0,0,0,2,0,0,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,2*K.1^-2,2*K.1^-1,2,2,2*K.1,2*K.1^2,-2,2,-2,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-1,-2*K.1^-2,-2,-2*K.1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2,-2*K.1^2,2*K.1^-2,2*K.1^-1,-2*K.1^-2,2*K.1,2*K.1^2,-2*K.1,-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,2*K.1^2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1^2,2*K.1,2,2*K.1^-2,2,2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-1,-2*K.1^-2,-2,-2,-2*K.1,-2*K.1^2,2*K.1,2*K.1^2,-2*K.1^-2,-2*K.1^-1,2*K.1^-2,2*K.1^-1,-2*K.1,-2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,-2,2,-2,0,0,0,0,2,0,0,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,2*K.1^2,2*K.1,2,2,2*K.1^-1,2*K.1^-2,-2,2,-2,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1,-2*K.1^2,-2,-2*K.1^-1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2,-2*K.1^-2,2*K.1^2,2*K.1,-2*K.1^2,2*K.1^-1,2*K.1^-2,-2*K.1^-1,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-2,2*K.1^-1,2,2*K.1^2,2,2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1,-2*K.1^2,-2,-2,-2*K.1^-1,-2*K.1^-2,2*K.1^-1,2*K.1^-2,-2*K.1^2,-2*K.1,2*K.1^2,2*K.1,-2*K.1^-1,-2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,-2,2,-2,0,0,0,0,2,0,0,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1^2,2,2,2*K.1^-2,2*K.1,-2,2,-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^2,-2*K.1^-1,-2,-2*K.1^-2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2,-2*K.1,2*K.1^-1,2*K.1^2,-2*K.1^-1,2*K.1^-2,2*K.1,-2*K.1^-2,-2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-2,2*K.1^2,2*K.1^2,2*K.1,2*K.1^-2,2,2*K.1^-1,2,2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^2,-2*K.1^-1,-2,-2,-2*K.1^-2,-2*K.1,2*K.1^-2,2*K.1,-2*K.1^-1,-2*K.1^2,2*K.1^-1,2*K.1^2,-2*K.1^-2,-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]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,-2,2,-2,0,0,0,0,2,0,0,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-2,2,2,2*K.1^2,2*K.1^-1,-2,2,-2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1^-2,-2*K.1,-2,-2*K.1^2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2,-2*K.1^-1,2*K.1,2*K.1^-2,-2*K.1,2*K.1^2,2*K.1^-1,-2*K.1^2,-2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1^2,2*K.1^-2,2*K.1^-2,2*K.1^-1,2*K.1^2,2,2*K.1,2,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1^-2,-2*K.1,-2,-2,-2*K.1^2,-2*K.1^-1,2*K.1^2,2*K.1^-1,-2*K.1,-2*K.1^-2,2*K.1,2*K.1^-2,-2*K.1^2,-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]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,-2,0,0,2,2,0,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,-1-K.1-K.1^2,K.1+K.1^2,1+K.1^-1,-1-K.1-K.1^-2,1+K.1,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1^2,K.1+K.1^-2,2,0,0,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,1+K.1^-1,1+K.1^-2,K.1+K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^2,1+K.1,-1-K.1-K.1^2,K.1+K.1^-2,K.1+K.1^-1,0,0,0,0,0,0,0,0,-2*K.1,-2*K.1^-2,-2*K.1^-1,-2*K.1^-1,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^2,-1-K.1^-2,-1-K.1^-1,1+K.1+K.1^2,-1-K.1,1+K.1+K.1^-2,-1-K.1^2,-1*K.1^2-K.1^-2,1+K.1+K.1^2,-1*K.1-K.1^-2,-1-K.1^-1,1+K.1+K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1-K.1^2,-1-K.1,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1*K.1-K.1^2,-1-K.1^-2,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,K.1+K.1^-2,1+K.1^2,1+K.1^-2,K.1+K.1^2,1+K.1^-1,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1,K.1^2+K.1^-2,-1-K.1-K.1^-2,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,-1-K.1-K.1^2,1+K.1^-2,1+K.1^2,-1-K.1-K.1^-2,K.1+K.1^-2,K.1+K.1^2,1+K.1,1+K.1^-1,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,-1-K.1-K.1^-2,1+K.1^2,K.1+K.1^-2,1+K.1^-2,K.1+K.1^2,1+K.1,K.1^2+K.1^-2,K.1+K.1^-1,-1-K.1-K.1^2,1+K.1^-1,0,0,0,0,0,0,0,0,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,K.1+K.1^-2,-1-K.1-K.1^2,1+K.1^2,1+K.1^-1,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-2,1+K.1,-1-K.1-K.1^-2,1+K.1^2,1+K.1^-1,K.1+K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,1+K.1,K.1+K.1^2,-1-K.1-K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,-2,0,0,2,2,0,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,K.1+K.1^2,-1-K.1-K.1^2,1+K.1,K.1+K.1^-2,1+K.1^-1,1+K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1^-2,-1-K.1-K.1^-2,2,0,0,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,1+K.1,1+K.1^2,-1-K.1-K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^-2,1+K.1^-1,K.1+K.1^2,-1-K.1-K.1^-2,K.1+K.1^-1,0,0,0,0,0,0,0,0,-2*K.1^-1,-2*K.1^2,-2*K.1,-2*K.1,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1^-2,-1-K.1^2,-1-K.1,-1*K.1-K.1^2,-1-K.1^-1,-1*K.1-K.1^-2,-1-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^2,1+K.1+K.1^-2,-1-K.1,-1*K.1-K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1-K.1^-2,-1-K.1^-1,-1*K.1-K.1^-1,1+K.1+K.1^2,1+K.1+K.1^2,-1-K.1^2,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,-1-K.1-K.1^-2,1+K.1^-2,1+K.1^2,-1-K.1-K.1^2,1+K.1,K.1+K.1^2,K.1+K.1^-1,1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-2,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^2,1+K.1^2,1+K.1^-2,K.1+K.1^-2,-1-K.1-K.1^-2,-1-K.1-K.1^2,1+K.1^-1,1+K.1,0,0,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,K.1+K.1^-2,1+K.1^-2,-1-K.1-K.1^-2,1+K.1^2,-1-K.1-K.1^2,1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^2,1+K.1,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,-1-K.1-K.1^-2,K.1+K.1^2,1+K.1^-2,1+K.1,1+K.1^2,K.1^2+K.1^-2,-1-K.1-K.1^-2,1+K.1^-1,K.1+K.1^-2,1+K.1^-2,1+K.1,-1-K.1-K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^-1,K.1+K.1^-1,1+K.1^-1,-1-K.1-K.1^2,K.1+K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,-2,0,0,2,2,0,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-2,1+K.1^2,K.1+K.1^2,1+K.1^-2,1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1,-1-K.1-K.1^2,2,0,0,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,1+K.1^2,1+K.1^-1,K.1+K.1^-2,K.1+K.1^2,K.1+K.1^-1,1+K.1,1+K.1^-2,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,-2*K.1^-2,-2*K.1^-1,-2*K.1^2,-2*K.1^2,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1,-1-K.1^-1,-1-K.1^2,1+K.1+K.1^-2,-1-K.1^-2,-1*K.1-K.1^2,-1-K.1,-1*K.1-K.1^-1,1+K.1+K.1^-2,1+K.1+K.1^2,-1-K.1^2,-1*K.1-K.1^2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,1+K.1+K.1^2,-1-K.1,-1-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1*K.1-K.1^-2,-1-K.1^-1,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,-1-K.1-K.1^2,1+K.1,1+K.1^-1,K.1+K.1^-2,1+K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^-2,K.1+K.1^-1,K.1+K.1^2,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,K.1+K.1^-1,K.1^2+K.1^-2,-1-K.1-K.1^-2,1+K.1^-1,1+K.1,K.1+K.1^2,-1-K.1-K.1^2,K.1+K.1^-2,1+K.1^-2,1+K.1^2,0,0,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,K.1+K.1^2,1+K.1,-1-K.1-K.1^2,1+K.1^-1,K.1+K.1^-2,1+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,-1-K.1-K.1^-2,1+K.1^2,0,0,0,0,0,0,0,0,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,-1-K.1-K.1^2,-1-K.1-K.1^-2,1+K.1,1+K.1^2,1+K.1^-1,K.1+K.1^-1,-1-K.1-K.1^2,1+K.1^-2,K.1+K.1^2,1+K.1,1+K.1^2,K.1+K.1^-2,K.1+K.1^2,K.1+K.1^-1,1+K.1^-1,K.1^2+K.1^-2,K.1^2+K.1^-2,1+K.1^-2,K.1+K.1^-2,-1-K.1-K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,-2,0,0,2,2,0,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,K.1+K.1^-2,-1-K.1-K.1^-2,1+K.1^-2,-1-K.1-K.1^2,1+K.1^2,1+K.1,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^-1,K.1+K.1^2,2,0,0,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,1+K.1^-2,1+K.1,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1^-1,1+K.1^2,K.1+K.1^-2,K.1+K.1^2,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,-2*K.1^2,-2*K.1,-2*K.1^-2,-2*K.1^-2,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-1,-1-K.1,-1-K.1^-2,-1*K.1-K.1^-2,-1-K.1^2,1+K.1+K.1^2,-1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-2,-1*K.1-K.1^2,-1-K.1^-2,1+K.1+K.1^2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1-K.1^-1,-1-K.1^2,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,1+K.1+K.1^-2,-1-K.1,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,K.1+K.1^2,1+K.1^-1,1+K.1,-1-K.1-K.1^-2,1+K.1^-2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^-1,-1-K.1-K.1^2,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-2,1+K.1,1+K.1^-1,-1-K.1-K.1^2,K.1+K.1^2,-1-K.1-K.1^-2,1+K.1^2,1+K.1^-2,0,0,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,-1-K.1-K.1^2,1+K.1^-1,K.1+K.1^2,1+K.1,-1-K.1-K.1^-2,1+K.1^2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-2,1+K.1^-2,0,0,0,0,0,0,0,0,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,K.1+K.1^2,K.1+K.1^-2,1+K.1^-1,1+K.1^-2,1+K.1,K.1+K.1^-1,K.1+K.1^2,1+K.1^2,-1-K.1-K.1^2,1+K.1^-1,1+K.1^-2,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1,K.1^2+K.1^-2,K.1^2+K.1^-2,1+K.1^2,-1-K.1-K.1^-2,K.1+K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,-2,0,0,2,2,0,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,1+K.1^2,1+K.1^-2,K.1+K.1^-2,1+K.1,-1-K.1-K.1^-2,K.1+K.1^2,K.1+K.1^-1,K.1^2+K.1^-2,-1-K.1-K.1^2,1+K.1^-1,2,0,0,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,K.1+K.1^-2,K.1+K.1^2,1+K.1^-2,1+K.1,K.1+K.1^-1,-1-K.1-K.1^2,-1-K.1-K.1^-2,1+K.1^2,1+K.1^-1,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,-2*K.1,-2*K.1^-2,-2*K.1^-1,-2*K.1^-1,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^2,-1*K.1-K.1^2,-1*K.1-K.1^-2,-1-K.1^2,1+K.1+K.1^-2,-1-K.1,1+K.1+K.1^2,-1*K.1-K.1^-1,-1-K.1^2,-1-K.1^-1,-1*K.1-K.1^-2,-1-K.1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1-K.1^-1,1+K.1+K.1^2,1+K.1+K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^-2,-1-K.1^-2,-1*K.1-K.1^2,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,1+K.1^-1,-1-K.1-K.1^2,K.1+K.1^2,1+K.1^-2,K.1+K.1^-2,1+K.1^2,K.1^2+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-1,1+K.1,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^2,-1-K.1-K.1^2,1+K.1,1+K.1^-1,1+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-2,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,1+K.1,-1-K.1-K.1^2,1+K.1^-1,K.1+K.1^2,1+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^-2,0,0,0,0,0,0,0,0,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,1+K.1^-1,1+K.1^2,-1-K.1-K.1^2,K.1+K.1^-2,K.1+K.1^2,K.1+K.1^-1,1+K.1^-1,-1-K.1-K.1^-2,1+K.1,-1-K.1-K.1^2,K.1+K.1^-2,1+K.1^-2,1+K.1,K.1+K.1^-1,K.1+K.1^2,K.1^2+K.1^-2,K.1^2+K.1^-2,-1-K.1-K.1^-2,1+K.1^-2,1+K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,-2,0,0,2,2,0,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,1+K.1^-2,1+K.1^2,-1-K.1-K.1^-2,1+K.1^-1,K.1+K.1^-2,-1-K.1-K.1^2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^2,1+K.1,2,0,0,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,-1-K.1-K.1^-2,-1-K.1-K.1^2,1+K.1^2,1+K.1^-1,K.1+K.1^-1,K.1+K.1^2,K.1+K.1^-2,1+K.1^-2,1+K.1,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,-2*K.1^-1,-2*K.1^2,-2*K.1,-2*K.1,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1^-2,1+K.1+K.1^2,1+K.1+K.1^-2,-1-K.1^-2,-1*K.1-K.1^-2,-1-K.1^-1,-1*K.1-K.1^2,-1*K.1-K.1^-1,-1-K.1^-2,-1-K.1,1+K.1+K.1^-2,-1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1-K.1,-1*K.1-K.1^2,-1*K.1-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^2,-1-K.1^2,1+K.1+K.1^2,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,1+K.1,K.1+K.1^2,-1-K.1-K.1^2,1+K.1^2,-1-K.1-K.1^-2,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-2,K.1+K.1^-1,1+K.1^-1,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^-2,-1-K.1-K.1^2,K.1+K.1^2,1+K.1^-1,1+K.1,1+K.1^2,K.1+K.1^-2,-1-K.1-K.1^-2,0,0,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,1+K.1^-1,K.1+K.1^2,1+K.1,-1-K.1-K.1^2,1+K.1^2,K.1+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^-2,-1-K.1-K.1^-2,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,1+K.1,1+K.1^-2,K.1+K.1^2,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1,K.1+K.1^-2,1+K.1^-1,K.1+K.1^2,-1-K.1-K.1^-2,1+K.1^2,1+K.1^-1,K.1+K.1^-1,-1-K.1-K.1^2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-2,1+K.1^2,1+K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,-2,0,0,2,2,0,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,1+K.1,1+K.1^-1,-1-K.1-K.1^2,1+K.1^-2,K.1+K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,-1-K.1-K.1^-2,1+K.1^2,2,0,0,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,-1-K.1-K.1^2,K.1+K.1^-2,1+K.1^-1,1+K.1^-2,K.1^2+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^2,1+K.1,1+K.1^2,K.1+K.1^-1,0,0,0,0,0,0,0,0,-2*K.1^-2,-2*K.1^-1,-2*K.1^2,-2*K.1^2,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1,-1*K.1-K.1^-2,1+K.1+K.1^2,-1-K.1,-1*K.1-K.1^2,-1-K.1^-2,1+K.1+K.1^-2,-1*K.1^2-K.1^-2,-1-K.1,-1-K.1^2,1+K.1+K.1^2,-1-K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1-K.1^2,1+K.1+K.1^-2,-1*K.1-K.1^2,-1*K.1-K.1^-1,-1-K.1^-1,-1-K.1^-1,-1*K.1-K.1^-2,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,1+K.1^2,-1-K.1-K.1^-2,K.1+K.1^-2,1+K.1^-1,-1-K.1-K.1^2,1+K.1,K.1+K.1^-1,K.1+K.1^2,K.1^2+K.1^-2,1+K.1^-2,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1,K.1+K.1^-2,-1-K.1-K.1^-2,1+K.1^-2,1+K.1^2,1+K.1^-1,K.1+K.1^2,-1-K.1-K.1^2,0,0,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,1+K.1^-2,-1-K.1-K.1^-2,1+K.1^2,K.1+K.1^-2,1+K.1^-1,K.1+K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1,-1-K.1-K.1^2,0,0,0,0,0,0,0,0,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,1+K.1^2,1+K.1,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^2,1+K.1^-2,-1-K.1-K.1^-2,-1-K.1-K.1^2,1+K.1^-1,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^2,1+K.1^-1,1+K.1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,-2,0,0,2,2,0,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,1+K.1^-1,1+K.1,K.1+K.1^2,1+K.1^2,-1-K.1-K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-2,1+K.1^-2,2,0,0,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,K.1+K.1^2,-1-K.1-K.1^-2,1+K.1,1+K.1^2,K.1^2+K.1^-2,K.1+K.1^-2,-1-K.1-K.1^2,1+K.1^-1,1+K.1^-2,K.1+K.1^-1,0,0,0,0,0,0,0,0,-2*K.1^2,-2*K.1,-2*K.1^-2,-2*K.1^-2,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-1,1+K.1+K.1^-2,-1*K.1-K.1^2,-1-K.1^-1,1+K.1+K.1^2,-1-K.1^2,-1*K.1-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^-1,-1-K.1^-2,-1*K.1-K.1^2,-1-K.1^2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1-K.1^-2,-1*K.1-K.1^-2,1+K.1+K.1^2,-1*K.1-K.1^-1,-1-K.1,-1-K.1,1+K.1+K.1^-2,0,0,0,0,0,0,0,0,2,2,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,1+K.1^-2,K.1+K.1^-2,-1-K.1-K.1^-2,1+K.1,K.1+K.1^2,1+K.1^-1,K.1+K.1^-1,-1-K.1-K.1^2,K.1^2+K.1^-2,1+K.1^2,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1^-1,-1-K.1-K.1^-2,K.1+K.1^-2,1+K.1^2,1+K.1^-2,1+K.1,-1-K.1-K.1^2,K.1+K.1^2,0,0,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,1+K.1^2,K.1+K.1^-2,1+K.1^-2,-1-K.1-K.1^-2,1+K.1,-1-K.1-K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1^-1,K.1+K.1^2,0,0,0,0,0,0,0,0,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,1+K.1^-2,1+K.1^-1,K.1+K.1^-2,K.1+K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^-2,-1-K.1-K.1^2,1+K.1^2,K.1+K.1^-2,K.1+K.1^2,1+K.1,1+K.1^2,K.1^2+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-1,K.1+K.1^-1,-1-K.1-K.1^2,1+K.1,1+K.1^-1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,2,0,0,2,-2,0,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,-1-K.1-K.1^2,K.1+K.1^2,1+K.1^-1,-1-K.1-K.1^-2,1+K.1,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1^2,K.1+K.1^-2,2,0,0,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,1+K.1^-1,1+K.1^-2,K.1+K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^2,1+K.1,-1-K.1-K.1^2,K.1+K.1^-2,K.1+K.1^-1,0,0,0,0,0,0,0,0,-2*K.1,2*K.1^-2,2*K.1^-1,-2*K.1^-1,-2*K.1^-2,2*K.1^2,2*K.1,-2*K.1^2,1+K.1^-2,1+K.1^-1,1+K.1+K.1^2,1+K.1,-1-K.1-K.1^-2,-1-K.1^2,-1*K.1^2-K.1^-2,-1-K.1-K.1^2,K.1+K.1^-2,-1-K.1^-1,1+K.1+K.1^-2,-1*K.1-K.1^-1,K.1^2+K.1^-2,-1*K.1-K.1^-2,1+K.1^2,-1-K.1,K.1+K.1^-1,K.1+K.1^2,-1*K.1-K.1^2,-1-K.1^-2,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,K.1+K.1^-2,1+K.1^2,1+K.1^-2,K.1+K.1^2,1+K.1^-1,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1,K.1^2+K.1^-2,-1-K.1-K.1^-2,-2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1^2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,1+K.1+K.1^2,-1-K.1^-2,-1-K.1^2,1+K.1+K.1^-2,-1*K.1-K.1^-2,-1*K.1-K.1^2,-1-K.1,-1-K.1^-1,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,-1-K.1-K.1^-2,1+K.1^2,K.1+K.1^-2,1+K.1^-2,K.1+K.1^2,1+K.1,K.1^2+K.1^-2,K.1+K.1^-1,-1-K.1-K.1^2,1+K.1^-1,0,0,0,0,0,0,0,0,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-1*K.1-K.1^-2,1+K.1+K.1^2,-1-K.1^2,-1-K.1^-1,-1-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1-K.1,1+K.1+K.1^-2,-1-K.1^2,-1-K.1^-1,-1*K.1-K.1^2,1+K.1+K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1-K.1,-1*K.1-K.1^2,1+K.1+K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,2,0,0,2,-2,0,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,K.1+K.1^2,-1-K.1-K.1^2,1+K.1,K.1+K.1^-2,1+K.1^-1,1+K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1^-2,-1-K.1-K.1^-2,2,0,0,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,1+K.1,1+K.1^2,-1-K.1-K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^-2,1+K.1^-1,K.1+K.1^2,-1-K.1-K.1^-2,K.1+K.1^-1,0,0,0,0,0,0,0,0,-2*K.1^-1,2*K.1^2,2*K.1,-2*K.1,-2*K.1^2,2*K.1^-2,2*K.1^-1,-2*K.1^-2,1+K.1^2,1+K.1,-1*K.1-K.1^2,1+K.1^-1,K.1+K.1^-2,-1-K.1^-2,-1*K.1^2-K.1^-2,K.1+K.1^2,-1-K.1-K.1^-2,-1-K.1,-1*K.1-K.1^-2,-1*K.1-K.1^-1,K.1^2+K.1^-2,1+K.1+K.1^-2,1+K.1^-2,-1-K.1^-1,K.1+K.1^-1,-1-K.1-K.1^2,1+K.1+K.1^2,-1-K.1^2,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,-1-K.1-K.1^-2,1+K.1^-2,1+K.1^2,-1-K.1-K.1^2,1+K.1,K.1+K.1^2,K.1+K.1^-1,1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-2,-2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1-K.1^2,-1-K.1^-2,-1*K.1-K.1^-2,1+K.1+K.1^-2,1+K.1+K.1^2,-1-K.1^-1,-1-K.1,0,0,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,K.1+K.1^-2,1+K.1^-2,-1-K.1-K.1^-2,1+K.1^2,-1-K.1-K.1^2,1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^2,1+K.1,0,0,0,0,0,0,0,0,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,1+K.1+K.1^-2,-1*K.1-K.1^2,-1-K.1^-2,-1-K.1,-1-K.1^2,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1-K.1^-1,-1*K.1-K.1^-2,-1-K.1^-2,-1-K.1,1+K.1+K.1^2,-1*K.1-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1-K.1^-1,1+K.1+K.1^2,-1*K.1-K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,2,0,0,2,-2,0,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-2,1+K.1^2,K.1+K.1^2,1+K.1^-2,1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1,-1-K.1-K.1^2,2,0,0,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,1+K.1^2,1+K.1^-1,K.1+K.1^-2,K.1+K.1^2,K.1+K.1^-1,1+K.1,1+K.1^-2,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,-2*K.1^-2,2*K.1^-1,2*K.1^2,-2*K.1^2,-2*K.1^-1,2*K.1,2*K.1^-2,-2*K.1,1+K.1^-1,1+K.1^2,1+K.1+K.1^-2,1+K.1^-2,K.1+K.1^2,-1-K.1,-1*K.1-K.1^-1,-1-K.1-K.1^-2,-1-K.1-K.1^2,-1-K.1^2,-1*K.1-K.1^2,-1*K.1^2-K.1^-2,K.1+K.1^-1,1+K.1+K.1^2,1+K.1,-1-K.1^-2,K.1^2+K.1^-2,K.1+K.1^-2,-1*K.1-K.1^-2,-1-K.1^-1,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,-1-K.1-K.1^2,1+K.1,1+K.1^-1,K.1+K.1^-2,1+K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^-2,K.1+K.1^-1,K.1+K.1^2,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1-K.1^-1,-1-K.1,-1*K.1-K.1^2,1+K.1+K.1^2,-1*K.1-K.1^-2,-1-K.1^-2,-1-K.1^2,0,0,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,K.1+K.1^2,1+K.1,-1-K.1-K.1^2,1+K.1^-1,K.1+K.1^-2,1+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,-1-K.1-K.1^-2,1+K.1^2,0,0,0,0,0,0,0,0,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,1+K.1+K.1^2,1+K.1+K.1^-2,-1-K.1,-1-K.1^2,-1-K.1^-1,-1*K.1-K.1^-1,1+K.1+K.1^2,-1-K.1^-2,-1*K.1-K.1^2,-1-K.1,-1-K.1^2,-1*K.1-K.1^-2,-1*K.1-K.1^2,-1*K.1-K.1^-1,-1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^-2,-1*K.1-K.1^-2,1+K.1+K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,2,0,0,2,-2,0,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,K.1+K.1^-2,-1-K.1-K.1^-2,1+K.1^-2,-1-K.1-K.1^2,1+K.1^2,1+K.1,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^-1,K.1+K.1^2,2,0,0,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,1+K.1^-2,1+K.1,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1^-1,1+K.1^2,K.1+K.1^-2,K.1+K.1^2,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,-2*K.1^2,2*K.1,2*K.1^-2,-2*K.1^-2,-2*K.1,2*K.1^-1,2*K.1^2,-2*K.1^-1,1+K.1,1+K.1^-2,-1*K.1-K.1^-2,1+K.1^2,-1-K.1-K.1^2,-1-K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-2,K.1+K.1^2,-1-K.1^-2,1+K.1+K.1^2,-1*K.1^2-K.1^-2,K.1+K.1^-1,-1*K.1-K.1^2,1+K.1^-1,-1-K.1^2,K.1^2+K.1^-2,-1-K.1-K.1^-2,1+K.1+K.1^-2,-1-K.1,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,K.1+K.1^2,1+K.1^-1,1+K.1,-1-K.1-K.1^-2,1+K.1^-2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^-1,-1-K.1-K.1^2,-2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1-K.1,-1-K.1^-1,1+K.1+K.1^2,-1*K.1-K.1^2,1+K.1+K.1^-2,-1-K.1^2,-1-K.1^-2,0,0,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,-1-K.1-K.1^2,1+K.1^-1,K.1+K.1^2,1+K.1,-1-K.1-K.1^-2,1+K.1^2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-2,1+K.1^-2,0,0,0,0,0,0,0,0,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-1*K.1-K.1^2,-1*K.1-K.1^-2,-1-K.1^-1,-1-K.1^-2,-1-K.1,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1-K.1^2,1+K.1+K.1^2,-1-K.1^-1,-1-K.1^-2,1+K.1+K.1^-2,1+K.1+K.1^2,-1*K.1-K.1^-1,-1-K.1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^2,1+K.1+K.1^-2,-1*K.1-K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,2,0,0,2,-2,0,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,1+K.1^2,1+K.1^-2,K.1+K.1^-2,1+K.1,-1-K.1-K.1^-2,K.1+K.1^2,K.1+K.1^-1,K.1^2+K.1^-2,-1-K.1-K.1^2,1+K.1^-1,2,0,0,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,K.1+K.1^-2,K.1+K.1^2,1+K.1^-2,1+K.1,K.1+K.1^-1,-1-K.1-K.1^2,-1-K.1-K.1^-2,1+K.1^2,1+K.1^-1,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,-2*K.1,2*K.1^-2,2*K.1^-1,-2*K.1^-1,-2*K.1^-2,2*K.1^2,2*K.1,-2*K.1^2,K.1+K.1^2,K.1+K.1^-2,-1-K.1^2,-1-K.1-K.1^-2,1+K.1,1+K.1+K.1^2,-1*K.1-K.1^-1,1+K.1^2,1+K.1^-1,-1*K.1-K.1^-2,-1-K.1,-1*K.1^2-K.1^-2,K.1+K.1^-1,-1-K.1^-1,-1-K.1-K.1^2,1+K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^-2,-1-K.1^-2,-1*K.1-K.1^2,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,1+K.1^-1,-1-K.1-K.1^2,K.1+K.1^2,1+K.1^-2,K.1+K.1^-2,1+K.1^2,K.1^2+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-1,1+K.1,-2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1^2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1-K.1^2,-1*K.1-K.1^2,1+K.1+K.1^2,-1-K.1,-1-K.1^-1,-1-K.1^-2,1+K.1+K.1^-2,-1*K.1-K.1^-2,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,1+K.1,-1-K.1-K.1^2,1+K.1^-1,K.1+K.1^2,1+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^-2,0,0,0,0,0,0,0,0,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-1-K.1^-1,-1-K.1^2,1+K.1+K.1^2,-1*K.1-K.1^-2,-1*K.1-K.1^2,-1*K.1-K.1^-1,-1-K.1^-1,1+K.1+K.1^-2,-1-K.1,1+K.1+K.1^2,-1*K.1-K.1^-2,-1-K.1^-2,-1-K.1,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1-K.1^-2,-1-K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,2,0,0,2,-2,0,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,1+K.1^-2,1+K.1^2,-1-K.1-K.1^-2,1+K.1^-1,K.1+K.1^-2,-1-K.1-K.1^2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^2,1+K.1,2,0,0,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,-1-K.1-K.1^-2,-1-K.1-K.1^2,1+K.1^2,1+K.1^-1,K.1+K.1^-1,K.1+K.1^2,K.1+K.1^-2,1+K.1^-2,1+K.1,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,-2*K.1^-1,2*K.1^2,2*K.1,-2*K.1,-2*K.1^2,2*K.1^-2,2*K.1^-1,-2*K.1^-2,-1-K.1-K.1^2,-1-K.1-K.1^-2,-1-K.1^-2,K.1+K.1^-2,1+K.1^-1,-1*K.1-K.1^2,-1*K.1-K.1^-1,1+K.1^-2,1+K.1,1+K.1+K.1^-2,-1-K.1^-1,-1*K.1^2-K.1^-2,K.1+K.1^-1,-1-K.1,K.1+K.1^2,-1*K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^2,-1-K.1^2,1+K.1+K.1^2,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,1+K.1,K.1+K.1^2,-1-K.1-K.1^2,1+K.1^2,-1-K.1-K.1^-2,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-2,K.1+K.1^-1,1+K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1-K.1^-2,1+K.1+K.1^2,-1*K.1-K.1^2,-1-K.1^-1,-1-K.1,-1-K.1^2,-1*K.1-K.1^-2,1+K.1+K.1^-2,0,0,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,1+K.1^-1,K.1+K.1^2,1+K.1,-1-K.1-K.1^2,1+K.1^2,K.1+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^-2,-1-K.1-K.1^-2,0,0,0,0,0,0,0,0,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-1-K.1,-1-K.1^-2,-1*K.1-K.1^2,1+K.1+K.1^-2,1+K.1+K.1^2,-1*K.1-K.1^-1,-1-K.1,-1*K.1-K.1^-2,-1-K.1^-1,-1*K.1-K.1^2,1+K.1+K.1^-2,-1-K.1^2,-1-K.1^-1,-1*K.1-K.1^-1,1+K.1+K.1^2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1-K.1^2,-1-K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,2,0,0,2,-2,0,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,1+K.1,1+K.1^-1,-1-K.1-K.1^2,1+K.1^-2,K.1+K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,-1-K.1-K.1^-2,1+K.1^2,2,0,0,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,-1-K.1-K.1^2,K.1+K.1^-2,1+K.1^-1,1+K.1^-2,K.1^2+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^2,1+K.1,1+K.1^2,K.1+K.1^-1,0,0,0,0,0,0,0,0,-2*K.1^-2,2*K.1^-1,2*K.1^2,-2*K.1^2,-2*K.1^-1,2*K.1,2*K.1^-2,-2*K.1,K.1+K.1^-2,-1-K.1-K.1^2,-1-K.1,K.1+K.1^2,1+K.1^-2,1+K.1+K.1^-2,-1*K.1^2-K.1^-2,1+K.1,1+K.1^2,1+K.1+K.1^2,-1-K.1^-2,-1*K.1-K.1^-1,K.1^2+K.1^-2,-1-K.1^2,-1-K.1-K.1^-2,-1*K.1-K.1^2,K.1+K.1^-1,1+K.1^-1,-1-K.1^-1,-1*K.1-K.1^-2,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,1+K.1^2,-1-K.1-K.1^-2,K.1+K.1^-2,1+K.1^-1,-1-K.1-K.1^2,1+K.1,K.1+K.1^-1,K.1+K.1^2,K.1^2+K.1^-2,1+K.1^-2,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1-K.1,-1*K.1-K.1^-2,1+K.1+K.1^-2,-1-K.1^-2,-1-K.1^2,-1-K.1^-1,-1*K.1-K.1^2,1+K.1+K.1^2,0,0,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,1+K.1^-2,-1-K.1-K.1^-2,1+K.1^2,K.1+K.1^-2,1+K.1^-1,K.1+K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1,-1-K.1-K.1^2,0,0,0,0,0,0,0,0,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-1-K.1^2,-1-K.1,1+K.1+K.1^-2,1+K.1+K.1^2,-1*K.1-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^2,-1*K.1-K.1^2,-1-K.1^-2,1+K.1+K.1^-2,1+K.1+K.1^2,-1-K.1^-1,-1-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1-K.1^-1,-1-K.1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,-2,2,0,0,2,-2,0,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,1+K.1^-1,1+K.1,K.1+K.1^2,1+K.1^2,-1-K.1-K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-2,1+K.1^-2,2,0,0,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,K.1+K.1^2,-1-K.1-K.1^-2,1+K.1,1+K.1^2,K.1^2+K.1^-2,K.1+K.1^-2,-1-K.1-K.1^2,1+K.1^-1,1+K.1^-2,K.1+K.1^-1,0,0,0,0,0,0,0,0,-2*K.1^2,2*K.1,2*K.1^-2,-2*K.1^-2,-2*K.1,2*K.1^-1,2*K.1^2,-2*K.1^-1,-1-K.1-K.1^-2,K.1+K.1^2,-1-K.1^-1,-1-K.1-K.1^2,1+K.1^2,-1*K.1-K.1^-2,-1*K.1^2-K.1^-2,1+K.1^-1,1+K.1^-2,-1*K.1-K.1^2,-1-K.1^2,-1*K.1-K.1^-1,K.1^2+K.1^-2,-1-K.1^-2,K.1+K.1^-2,1+K.1+K.1^2,K.1+K.1^-1,1+K.1,-1-K.1,1+K.1+K.1^-2,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,1+K.1^-2,K.1+K.1^-2,-1-K.1-K.1^-2,1+K.1,K.1+K.1^2,1+K.1^-1,K.1+K.1^-1,-1-K.1-K.1^2,K.1^2+K.1^-2,1+K.1^2,-2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1-K.1^-1,1+K.1+K.1^-2,-1*K.1-K.1^-2,-1-K.1^2,-1-K.1^-2,-1-K.1,1+K.1+K.1^2,-1*K.1-K.1^2,0,0,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,1+K.1^2,K.1+K.1^-2,1+K.1^-2,-1-K.1-K.1^-2,1+K.1,-1-K.1-K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1^-1,K.1+K.1^2,0,0,0,0,0,0,0,0,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-1-K.1^-2,-1-K.1^-1,-1*K.1-K.1^-2,-1*K.1-K.1^2,1+K.1+K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^-2,1+K.1+K.1^2,-1-K.1^2,-1*K.1-K.1^-2,-1*K.1-K.1^2,-1-K.1,-1-K.1^2,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,1+K.1+K.1^2,-1-K.1,-1-K.1^-1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,-2,0,0,2,-2,0,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,-1-K.1-K.1^2,K.1+K.1^2,1+K.1^-1,-1-K.1-K.1^-2,1+K.1,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1^2,K.1+K.1^-2,2,0,0,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,1+K.1^-1,1+K.1^-2,K.1+K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^2,1+K.1,-1-K.1-K.1^2,K.1+K.1^-2,K.1+K.1^-1,0,0,0,0,0,0,0,0,2*K.1,-2*K.1^-2,-2*K.1^-1,2*K.1^-1,2*K.1^-2,-2*K.1^2,-2*K.1,2*K.1^2,-1-K.1^-2,-1-K.1^-1,-1-K.1-K.1^2,-1-K.1,1+K.1+K.1^-2,1+K.1^2,K.1^2+K.1^-2,1+K.1+K.1^2,-1*K.1-K.1^-2,1+K.1^-1,-1-K.1-K.1^-2,K.1+K.1^-1,-1*K.1^2-K.1^-2,K.1+K.1^-2,-1-K.1^2,1+K.1,-1*K.1-K.1^-1,-1*K.1-K.1^2,K.1+K.1^2,1+K.1^-2,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,K.1+K.1^-2,1+K.1^2,1+K.1^-2,K.1+K.1^2,1+K.1^-1,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1,K.1^2+K.1^-2,-1-K.1-K.1^-2,-2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1^2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,1+K.1+K.1^2,-1-K.1^-2,-1-K.1^2,1+K.1+K.1^-2,-1*K.1-K.1^-2,-1*K.1-K.1^2,-1-K.1,-1-K.1^-1,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,-1-K.1-K.1^-2,1+K.1^2,K.1+K.1^-2,1+K.1^-2,K.1+K.1^2,1+K.1,K.1^2+K.1^-2,K.1+K.1^-1,-1-K.1-K.1^2,1+K.1^-1,0,0,0,0,0,0,0,0,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-1*K.1-K.1^-2,1+K.1+K.1^2,-1-K.1^2,-1-K.1^-1,-1-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1-K.1,1+K.1+K.1^-2,-1-K.1^2,-1-K.1^-1,-1*K.1-K.1^2,1+K.1+K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1-K.1,-1*K.1-K.1^2,1+K.1+K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,-2,0,0,2,-2,0,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,K.1+K.1^2,-1-K.1-K.1^2,1+K.1,K.1+K.1^-2,1+K.1^-1,1+K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1^-2,-1-K.1-K.1^-2,2,0,0,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,1+K.1,1+K.1^2,-1-K.1-K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^-2,1+K.1^-1,K.1+K.1^2,-1-K.1-K.1^-2,K.1+K.1^-1,0,0,0,0,0,0,0,0,2*K.1^-1,-2*K.1^2,-2*K.1,2*K.1,2*K.1^2,-2*K.1^-2,-2*K.1^-1,2*K.1^-2,-1-K.1^2,-1-K.1,K.1+K.1^2,-1-K.1^-1,-1*K.1-K.1^-2,1+K.1^-2,K.1^2+K.1^-2,-1*K.1-K.1^2,1+K.1+K.1^-2,1+K.1,K.1+K.1^-2,K.1+K.1^-1,-1*K.1^2-K.1^-2,-1-K.1-K.1^-2,-1-K.1^-2,1+K.1^-1,-1*K.1-K.1^-1,1+K.1+K.1^2,-1-K.1-K.1^2,1+K.1^2,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,-1-K.1-K.1^-2,1+K.1^-2,1+K.1^2,-1-K.1-K.1^2,1+K.1,K.1+K.1^2,K.1+K.1^-1,1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-2,-2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1-K.1^2,-1-K.1^-2,-1*K.1-K.1^-2,1+K.1+K.1^-2,1+K.1+K.1^2,-1-K.1^-1,-1-K.1,0,0,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,K.1+K.1^-2,1+K.1^-2,-1-K.1-K.1^-2,1+K.1^2,-1-K.1-K.1^2,1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^2,1+K.1,0,0,0,0,0,0,0,0,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,1+K.1+K.1^-2,-1*K.1-K.1^2,-1-K.1^-2,-1-K.1,-1-K.1^2,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1-K.1^-1,-1*K.1-K.1^-2,-1-K.1^-2,-1-K.1,1+K.1+K.1^2,-1*K.1-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1-K.1^-1,1+K.1+K.1^2,-1*K.1-K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,-2,0,0,2,-2,0,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-2,1+K.1^2,K.1+K.1^2,1+K.1^-2,1+K.1^-1,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1,-1-K.1-K.1^2,2,0,0,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,1+K.1^2,1+K.1^-1,K.1+K.1^-2,K.1+K.1^2,K.1+K.1^-1,1+K.1,1+K.1^-2,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,2*K.1^-2,-2*K.1^-1,-2*K.1^2,2*K.1^2,2*K.1^-1,-2*K.1,-2*K.1^-2,2*K.1,-1-K.1^-1,-1-K.1^2,-1-K.1-K.1^-2,-1-K.1^-2,-1*K.1-K.1^2,1+K.1,K.1+K.1^-1,1+K.1+K.1^-2,1+K.1+K.1^2,1+K.1^2,K.1+K.1^2,K.1^2+K.1^-2,-1*K.1-K.1^-1,-1-K.1-K.1^2,-1-K.1,1+K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,K.1+K.1^-2,1+K.1^-1,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,-1-K.1-K.1^2,1+K.1,1+K.1^-1,K.1+K.1^-2,1+K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^-2,K.1+K.1^-1,K.1+K.1^2,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1-K.1^-1,-1-K.1,-1*K.1-K.1^2,1+K.1+K.1^2,-1*K.1-K.1^-2,-1-K.1^-2,-1-K.1^2,0,0,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,K.1+K.1^2,1+K.1,-1-K.1-K.1^2,1+K.1^-1,K.1+K.1^-2,1+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,-1-K.1-K.1^-2,1+K.1^2,0,0,0,0,0,0,0,0,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,1+K.1+K.1^2,1+K.1+K.1^-2,-1-K.1,-1-K.1^2,-1-K.1^-1,-1*K.1-K.1^-1,1+K.1+K.1^2,-1-K.1^-2,-1*K.1-K.1^2,-1-K.1,-1-K.1^2,-1*K.1-K.1^-2,-1*K.1-K.1^2,-1*K.1-K.1^-1,-1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^-2,-1*K.1-K.1^-2,1+K.1+K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,-2,0,0,2,-2,0,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,K.1+K.1^-2,-1-K.1-K.1^-2,1+K.1^-2,-1-K.1-K.1^2,1+K.1^2,1+K.1,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^-1,K.1+K.1^2,2,0,0,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,1+K.1^-2,1+K.1,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1^-1,1+K.1^2,K.1+K.1^-2,K.1+K.1^2,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,2*K.1^2,-2*K.1,-2*K.1^-2,2*K.1^-2,2*K.1,-2*K.1^-1,-2*K.1^2,2*K.1^-1,-1-K.1,-1-K.1^-2,K.1+K.1^-2,-1-K.1^2,1+K.1+K.1^2,1+K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-2,-1*K.1-K.1^2,1+K.1^-2,-1-K.1-K.1^2,K.1^2+K.1^-2,-1*K.1-K.1^-1,K.1+K.1^2,-1-K.1^-1,1+K.1^2,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1-K.1-K.1^-2,1+K.1,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,K.1+K.1^2,1+K.1^-1,1+K.1,-1-K.1-K.1^-2,1+K.1^-2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^-1,-1-K.1-K.1^2,-2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1-K.1,-1-K.1^-1,1+K.1+K.1^2,-1*K.1-K.1^2,1+K.1+K.1^-2,-1-K.1^2,-1-K.1^-2,0,0,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,-1-K.1-K.1^2,1+K.1^-1,K.1+K.1^2,1+K.1,-1-K.1-K.1^-2,1+K.1^2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-2,1+K.1^-2,0,0,0,0,0,0,0,0,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-1*K.1-K.1^2,-1*K.1-K.1^-2,-1-K.1^-1,-1-K.1^-2,-1-K.1,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1-K.1^2,1+K.1+K.1^2,-1-K.1^-1,-1-K.1^-2,1+K.1+K.1^-2,1+K.1+K.1^2,-1*K.1-K.1^-1,-1-K.1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^2,1+K.1+K.1^-2,-1*K.1-K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,-2,0,0,2,-2,0,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,1+K.1^2,1+K.1^-2,K.1+K.1^-2,1+K.1,-1-K.1-K.1^-2,K.1+K.1^2,K.1+K.1^-1,K.1^2+K.1^-2,-1-K.1-K.1^2,1+K.1^-1,2,0,0,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,K.1+K.1^-2,K.1+K.1^2,1+K.1^-2,1+K.1,K.1+K.1^-1,-1-K.1-K.1^2,-1-K.1-K.1^-2,1+K.1^2,1+K.1^-1,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,2*K.1,-2*K.1^-2,-2*K.1^-1,2*K.1^-1,2*K.1^-2,-2*K.1^2,-2*K.1,2*K.1^2,-1*K.1-K.1^2,-1*K.1-K.1^-2,1+K.1^2,1+K.1+K.1^-2,-1-K.1,-1-K.1-K.1^2,K.1+K.1^-1,-1-K.1^2,-1-K.1^-1,K.1+K.1^-2,1+K.1,K.1^2+K.1^-2,-1*K.1-K.1^-1,1+K.1^-1,1+K.1+K.1^2,-1-K.1-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^-2,1+K.1^-2,K.1+K.1^2,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,1+K.1^-1,-1-K.1-K.1^2,K.1+K.1^2,1+K.1^-2,K.1+K.1^-2,1+K.1^2,K.1^2+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-1,1+K.1,-2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1^2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1-K.1^2,-1*K.1-K.1^2,1+K.1+K.1^2,-1-K.1,-1-K.1^-1,-1-K.1^-2,1+K.1+K.1^-2,-1*K.1-K.1^-2,0,0,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,1+K.1,-1-K.1-K.1^2,1+K.1^-1,K.1+K.1^2,1+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^-2,0,0,0,0,0,0,0,0,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-1-K.1^-1,-1-K.1^2,1+K.1+K.1^2,-1*K.1-K.1^-2,-1*K.1-K.1^2,-1*K.1-K.1^-1,-1-K.1^-1,1+K.1+K.1^-2,-1-K.1,1+K.1+K.1^2,-1*K.1-K.1^-2,-1-K.1^-2,-1-K.1,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1-K.1^-2,-1-K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,-2,0,0,2,-2,0,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,1+K.1^-2,1+K.1^2,-1-K.1-K.1^-2,1+K.1^-1,K.1+K.1^-2,-1-K.1-K.1^2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^2,1+K.1,2,0,0,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,-1-K.1-K.1^-2,-1-K.1-K.1^2,1+K.1^2,1+K.1^-1,K.1+K.1^-1,K.1+K.1^2,K.1+K.1^-2,1+K.1^-2,1+K.1,K.1^2+K.1^-2,0,0,0,0,0,0,0,0,2*K.1^-1,-2*K.1^2,-2*K.1,2*K.1,2*K.1^2,-2*K.1^-2,-2*K.1^-1,2*K.1^-2,1+K.1+K.1^2,1+K.1+K.1^-2,1+K.1^-2,-1*K.1-K.1^-2,-1-K.1^-1,K.1+K.1^2,K.1+K.1^-1,-1-K.1^-2,-1-K.1,-1-K.1-K.1^-2,1+K.1^-1,K.1^2+K.1^-2,-1*K.1-K.1^-1,1+K.1,-1*K.1-K.1^2,K.1+K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^2,1+K.1^2,-1-K.1-K.1^2,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,1+K.1,K.1+K.1^2,-1-K.1-K.1^2,1+K.1^2,-1-K.1-K.1^-2,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-2,K.1+K.1^-1,1+K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1-K.1^-2,1+K.1+K.1^2,-1*K.1-K.1^2,-1-K.1^-1,-1-K.1,-1-K.1^2,-1*K.1-K.1^-2,1+K.1+K.1^-2,0,0,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,1+K.1^-1,K.1+K.1^2,1+K.1,-1-K.1-K.1^2,1+K.1^2,K.1+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,1+K.1^-2,-1-K.1-K.1^-2,0,0,0,0,0,0,0,0,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-1-K.1,-1-K.1^-2,-1*K.1-K.1^2,1+K.1+K.1^-2,1+K.1+K.1^2,-1*K.1-K.1^-1,-1-K.1,-1*K.1-K.1^-2,-1-K.1^-1,-1*K.1-K.1^2,1+K.1+K.1^-2,-1-K.1^2,-1-K.1^-1,-1*K.1-K.1^-1,1+K.1+K.1^2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1-K.1^2,-1-K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,-2,0,0,2,-2,0,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,1+K.1,1+K.1^-1,-1-K.1-K.1^2,1+K.1^-2,K.1+K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,-1-K.1-K.1^-2,1+K.1^2,2,0,0,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,-1-K.1-K.1^2,K.1+K.1^-2,1+K.1^-1,1+K.1^-2,K.1^2+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^2,1+K.1,1+K.1^2,K.1+K.1^-1,0,0,0,0,0,0,0,0,2*K.1^-2,-2*K.1^-1,-2*K.1^2,2*K.1^2,2*K.1^-1,-2*K.1,-2*K.1^-2,2*K.1,-1*K.1-K.1^-2,1+K.1+K.1^2,1+K.1,-1*K.1-K.1^2,-1-K.1^-2,-1-K.1-K.1^-2,K.1^2+K.1^-2,-1-K.1,-1-K.1^2,-1-K.1-K.1^2,1+K.1^-2,K.1+K.1^-1,-1*K.1^2-K.1^-2,1+K.1^2,1+K.1+K.1^-2,K.1+K.1^2,-1*K.1-K.1^-1,-1-K.1^-1,1+K.1^-1,K.1+K.1^-2,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,1+K.1^2,-1-K.1-K.1^-2,K.1+K.1^-2,1+K.1^-1,-1-K.1-K.1^2,1+K.1,K.1+K.1^-1,K.1+K.1^2,K.1^2+K.1^-2,1+K.1^-2,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1-K.1,-1*K.1-K.1^-2,1+K.1+K.1^-2,-1-K.1^-2,-1-K.1^2,-1-K.1^-1,-1*K.1-K.1^2,1+K.1+K.1^2,0,0,0,0,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,1+K.1^-2,-1-K.1-K.1^-2,1+K.1^2,K.1+K.1^-2,1+K.1^-1,K.1+K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1,-1-K.1-K.1^2,0,0,0,0,0,0,0,0,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-1-K.1^2,-1-K.1,1+K.1+K.1^-2,1+K.1+K.1^2,-1*K.1-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^2,-1*K.1-K.1^2,-1-K.1^-2,1+K.1+K.1^-2,1+K.1+K.1^2,-1-K.1^-1,-1-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1-K.1^-1,-1-K.1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,0,0,2,-2,0,0,2,-2,0,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,1+K.1^-1,1+K.1,K.1+K.1^2,1+K.1^2,-1-K.1-K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,K.1+K.1^-1,K.1+K.1^-2,1+K.1^-2,2,0,0,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,K.1+K.1^2,-1-K.1-K.1^-2,1+K.1,1+K.1^2,K.1^2+K.1^-2,K.1+K.1^-2,-1-K.1-K.1^2,1+K.1^-1,1+K.1^-2,K.1+K.1^-1,0,0,0,0,0,0,0,0,2*K.1^2,-2*K.1,-2*K.1^-2,2*K.1^-2,2*K.1,-2*K.1^-1,-2*K.1^2,2*K.1^-1,1+K.1+K.1^-2,-1*K.1-K.1^2,1+K.1^-1,1+K.1+K.1^2,-1-K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,-1-K.1^-1,-1-K.1^-2,K.1+K.1^2,1+K.1^2,K.1+K.1^-1,-1*K.1^2-K.1^-2,1+K.1^-2,-1*K.1-K.1^-2,-1-K.1-K.1^2,-1*K.1-K.1^-1,-1-K.1,1+K.1,-1-K.1-K.1^-2,0,0,0,0,0,0,0,0,-2,-2,0,0,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,1+K.1^-2,K.1+K.1^-2,-1-K.1-K.1^-2,1+K.1,K.1+K.1^2,1+K.1^-1,K.1+K.1^-1,-1-K.1-K.1^2,K.1^2+K.1^-2,1+K.1^2,-2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1-K.1^-1,1+K.1+K.1^-2,-1*K.1-K.1^-2,-1-K.1^2,-1-K.1^-2,-1-K.1,1+K.1+K.1^2,-1*K.1-K.1^2,0,0,0,0,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,1+K.1^2,K.1+K.1^-2,1+K.1^-2,-1-K.1-K.1^-2,1+K.1,-1-K.1-K.1^2,K.1^2+K.1^-2,K.1+K.1^-1,1+K.1^-1,K.1+K.1^2,0,0,0,0,0,0,0,0,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-1-K.1^-2,-1-K.1^-1,-1*K.1-K.1^-2,-1*K.1-K.1^2,1+K.1+K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^-2,1+K.1+K.1^2,-1-K.1^2,-1*K.1-K.1^-2,-1*K.1-K.1^2,-1-K.1,-1-K.1^2,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,1+K.1+K.1^2,-1-K.1,-1-K.1^-1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,-2,-2,0,0,0,0,-1,-2,2,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,2*K.1^-2,2*K.1^-1,2,2,2*K.1,2*K.1^2,-1,1,1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-1,2*K.1^-2,2,2*K.1,2*K.1^-2,2*K.1,2*K.1^2,2,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1,-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1,-1*K.1^-2,-1,-1*K.1^-2,-2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1^2,-2,-2,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1^2,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1,-1,-1*K.1,-1*K.1^2,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-2,K.1^-1,K.1,K.1^2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^2,K.1,K.1,K.1^2,K.1^-1,1,K.1^2,K.1^-2,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,1,K.1^-1,1,1,K.1^-2,K.1^-1,K.1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,-2,-2,0,0,0,0,-1,-2,2,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,2*K.1^2,2*K.1,2,2,2*K.1^-1,2*K.1^-2,-1,1,1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1,2*K.1^2,2,2*K.1^-1,2*K.1^2,2*K.1^-1,2*K.1^-2,2,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1^-1,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1,-1*K.1^2,-1,-1*K.1^2,-2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^-2,-2,-2,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-2,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1,-1*K.1^2,-1,-1,-1*K.1^-1,-1*K.1^-2,K.1^-1,K.1^-2,K.1^2,K.1,K.1^2,K.1,K.1^-1,K.1^-2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-1,K.1^-2,K.1,1,K.1^-2,K.1^2,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,1,K.1,1,1,K.1^2,K.1,K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,-2,-2,0,0,0,0,-1,-2,2,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1^2,2,2,2*K.1^-2,2*K.1,-1,1,1,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^2,2*K.1^-1,2,2*K.1^-2,2*K.1^-1,2*K.1^-2,2*K.1,2,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^-2,-2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1,-1*K.1^-1,-1,-1*K.1^-1,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1,-2,-2,-2*K.1^-2,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1,-1,-1*K.1^-2,-1*K.1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1,K.1^-2,K.1^-2,K.1,K.1^2,1,K.1,K.1^-1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,1,K.1^2,1,1,K.1^-1,K.1^2,K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,-2,-2,0,0,0,0,-1,-2,2,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-2,2,2,2*K.1^2,2*K.1^-1,-1,1,1,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1^-2,2*K.1,2,2*K.1^2,2*K.1,2*K.1^2,2*K.1^-1,2,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1,-1*K.1,-1,-1*K.1,-2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1^-1,-2,-2,-2*K.1^2,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1,-1,-1*K.1^2,-1*K.1^-1,K.1^2,K.1^-1,K.1,K.1^-2,K.1,K.1^-2,K.1^2,K.1^-1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^2,K.1^-1,K.1^-2,1,K.1^-1,K.1,K.1,K.1^2,K.1^-1,K.1^-2,K.1,1,K.1^-2,1,1,K.1,K.1^-2,K.1^2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,-2,-2,0,0,0,0,-1,2,-2,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,2*K.1^-2,2*K.1^-1,2,2,2*K.1,2*K.1^2,-1,1,1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-1,2*K.1^-2,2,2*K.1,2*K.1^-2,2*K.1,2*K.1^2,2,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1,-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1,-1*K.1^-2,-1,-1*K.1^-2,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,2,2,2*K.1,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1^2,-2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1,-1,-1*K.1,-1*K.1^2,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-2,K.1^-1,K.1,K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1,-1*K.1^-1,-1,-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,K.1,K.1^-2,K.1^-1,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,-2,-2,0,0,0,0,-1,2,-2,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,2*K.1^2,2*K.1,2,2,2*K.1^-1,2*K.1^-2,-1,1,1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1,2*K.1^2,2,2*K.1^-1,2*K.1^2,2*K.1^-1,2*K.1^-2,2,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*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,-1,-1,1,1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1,-1*K.1^2,-1,-1*K.1^2,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,2,2,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-2,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1,-1*K.1^2,-1,-1,-1*K.1^-1,-1*K.1^-2,K.1^-1,K.1^-2,K.1^2,K.1,K.1^2,K.1,K.1^-1,K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1,-1*K.1,-1,-1,-1*K.1^2,-1*K.1,-1*K.1^-1,K.1^-1,K.1^2,K.1,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,-2,-2,0,0,0,0,-1,2,-2,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1^2,2,2,2*K.1^-2,2*K.1,-1,1,1,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^2,2*K.1^-1,2,2*K.1^-2,2*K.1^-1,2*K.1^-2,2*K.1,2,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^-2,-2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1,-1*K.1^-1,-1,-1*K.1^-1,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,2,2,2*K.1^-2,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-1,2*K.1,-2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1,-1,-1*K.1^-2,-1*K.1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^-1,K.1^2,K.1^-2,K.1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1,-1*K.1^2,-1,-1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,K.1^-2,K.1^-1,K.1^2,K.1,K.1,K.1^-1,K.1^2,K.1^-2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,-2,-2,0,0,0,0,-1,2,-2,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-2,2,2,2*K.1^2,2*K.1^-1,-1,1,1,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1^-2,2*K.1,2,2*K.1^2,2*K.1,2*K.1^2,2*K.1^-1,2,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1,-1*K.1,-1,-1*K.1,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,2,2,2*K.1^2,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1,-1,-1*K.1^2,-1*K.1^-1,K.1^2,K.1^-1,K.1,K.1^-2,K.1,K.1^-2,K.1^2,K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1,-1*K.1^-2,-1,-1,-1*K.1,-1*K.1^-2,-1*K.1^2,K.1^2,K.1,K.1^-2,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,2,2,0,0,0,0,-1,-2,-2,2*K.1^-2,2*K.1^2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-2,2*K.1^-2,2*K.1^-1,2,2,2*K.1,2*K.1^2,-1,-1,-1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-1,2*K.1^-2,2,2*K.1,2*K.1^-2,2*K.1,2*K.1^2,2,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1,2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1^2,-1*K.1,-1,-1*K.1^-2,-1,-1*K.1^-2,-2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1^2,-2,-2,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1^2,-2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-1,-1*K.1^-2,-1,-1,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1^2,K.1,K.1,K.1^2,K.1^-1,1,K.1^2,K.1^-2,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,1,K.1^-1,1,1,K.1^-2,K.1^-1,K.1,K.1,K.1^-2,K.1^-1,K.1^2,K.1^2,K.1^-2,K.1^-1,K.1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,2,2,0,0,0,0,-1,-2,-2,2*K.1^2,2*K.1^-2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1^2,2*K.1^2,2*K.1,2,2,2*K.1^-1,2*K.1^-2,-1,-1,-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1,2*K.1^2,2,2*K.1^-1,2*K.1^2,2*K.1^-1,2*K.1^-2,2,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1^-1,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-2,-1*K.1^-1,-1,-1*K.1^2,-1,-1*K.1^2,-2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^-2,-2,-2,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-2,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1,-1*K.1^2,-1,-1,-1*K.1^-1,-1*K.1^-2,-1*K.1^-1,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1^-2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-2,K.1^-1,K.1^-1,K.1^-2,K.1,1,K.1^-2,K.1^2,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,1,K.1,1,1,K.1^2,K.1,K.1^-1,K.1^-1,K.1^2,K.1,K.1^-2,K.1^-2,K.1^2,K.1,K.1^-1]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,2,2,0,0,0,0,-1,-2,-2,2*K.1^-1,2*K.1,2*K.1^2,2*K.1^-2,2*K.1^-2,2*K.1^2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1^2,2,2,2*K.1^-2,2*K.1,-1,-1,-1,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^2,2*K.1^-1,2,2*K.1^-2,2*K.1^-1,2*K.1^-2,2*K.1,2,2*K.1,2*K.1^-1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^-2,2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^2,-1*K.1,-1*K.1^-2,-1,-1*K.1^-1,-1,-1*K.1^-1,-2*K.1^-2,-2*K.1^2,-2*K.1^-1,-2*K.1,-2,-2,-2*K.1^-2,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1^2,-1*K.1^2,-1*K.1^-2,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^-2,-1*K.1,-1*K.1^2,-1*K.1^2,-1*K.1^-1,-1,-1,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1,K.1^-2,K.1^-2,K.1,K.1^2,1,K.1,K.1^-1,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,1,K.1^2,1,1,K.1^-1,K.1^2,K.1^-2,K.1^-2,K.1^-1,K.1^2,K.1,K.1,K.1^-1,K.1^2,K.1^-2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |2,2,2,2,0,0,0,0,-1,-2,-2,2*K.1,2*K.1^-1,2*K.1^-2,2*K.1^2,2*K.1^2,2*K.1^-2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-2,2,2,2*K.1^2,2*K.1^-1,-1,-1,-1,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1^-2,2*K.1,2,2*K.1^2,2*K.1,2*K.1^2,2*K.1^-1,2,2*K.1^-1,2*K.1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^2,2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-2,-1*K.1^-2,-1*K.1^-1,-1*K.1^2,-1,-1*K.1,-1,-1*K.1,-2*K.1^2,-2*K.1^-2,-2*K.1,-2*K.1^-1,-2,-2,-2*K.1^2,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1^2,-2*K.1^-2,-1*K.1^-2,-1*K.1^2,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^2,-1*K.1^-1,-1*K.1^-2,-1*K.1^-2,-1*K.1,-1,-1,-1*K.1^2,-1*K.1^-1,-1*K.1^2,-1*K.1^-1,-1*K.1,-1*K.1^-2,-1*K.1,-1*K.1^-2,-1*K.1^2,-1*K.1^-1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^2,K.1^-1,K.1^-2,K.1,K.1^-1,K.1^2,K.1^2,K.1^-1,K.1^-2,1,K.1^-1,K.1,K.1,K.1^2,K.1^-1,K.1^-2,K.1,1,K.1^-2,1,1,K.1,K.1^-2,K.1^2,K.1^2,K.1,K.1^-2,K.1^-1,K.1^-1,K.1,K.1^-2,K.1^2]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,-2,2,0,0,0,0,-1,0,0,-2*K.1^6,2*K.1^24,-2*K.1^18,2*K.1^12,2*K.1^12,-2*K.1^18,2*K.1^24,-2*K.1^6,-2*K.1^6,-2*K.1^18,2,2,2*K.1^12,2*K.1^24,1,1,-1,-2*K.1^24,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^18,2*K.1^6,-2,-2*K.1^12,2*K.1^6,-2*K.1^12,-2*K.1^24,-2,2*K.1^24,2*K.1^6,2*K.1^18,-2*K.1^6,-2*K.1^12,-2*K.1^24,2*K.1^12,-2*K.1^18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1^24,K.1^6,K.1^18,-1*K.1^12,-1*K.1^24,-1*K.1^12,K.1^18,K.1^18,-1*K.1^24,-1*K.1^12,-1,K.1^6,-1,K.1^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^18,K.1^12,-1*K.1^6,K.1^24,-1*K.1^6,K.1^12,K.1^24,-1*K.1^18,-1*K.1^18,-1*K.1^6,1,1,K.1^12,K.1^24,K.1^12,K.1^24,K.1^6,K.1^18,-1*K.1^6,-1*K.1^18,-1*K.1^12,-1*K.1^24,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1-K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^3-2*K.1^13,K.1+K.1^11,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1^3-2*K.1^13,K.1^5+K.1^-5,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1+K.1^11,-1*K.1-K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^3-2*K.1^13,K.1+K.1^11,-1*K.1^5-K.1^-5,-1*K.1^3+2*K.1^13,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1-K.1^11,-1*K.1^3+2*K.1^13,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^11,K.1^3-2*K.1^13,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1-K.1^11,-1*K.1^3+2*K.1^13,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,-2,2,0,0,0,0,-1,0,0,2*K.1^24,-2*K.1^6,2*K.1^12,-2*K.1^18,-2*K.1^18,2*K.1^12,-2*K.1^6,2*K.1^24,2*K.1^24,2*K.1^12,2,2,-2*K.1^18,-2*K.1^6,1,1,-1,2*K.1^6,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^12,-2*K.1^24,-2,2*K.1^18,-2*K.1^24,2*K.1^18,2*K.1^6,-2,-2*K.1^6,-2*K.1^24,-2*K.1^12,2*K.1^24,2*K.1^18,2*K.1^6,-2*K.1^18,2*K.1^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,K.1^6,-1*K.1^24,-1*K.1^12,K.1^18,K.1^6,K.1^18,-1*K.1^12,-1*K.1^12,K.1^6,K.1^18,-1,-1*K.1^24,-1,-1*K.1^24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^12,-1*K.1^18,K.1^24,-1*K.1^6,K.1^24,-1*K.1^18,-1*K.1^6,K.1^12,K.1^12,K.1^24,1,1,-1*K.1^18,-1*K.1^6,-1*K.1^18,-1*K.1^6,-1*K.1^24,-1*K.1^12,K.1^24,K.1^12,K.1^18,K.1^6,K.1^3-2*K.1^13,K.1+K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1-K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1+K.1^11,K.1^3-2*K.1^13,-1*K.1^3+2*K.1^13,K.1+K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1^5+K.1^-5,-1*K.1-K.1^11,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^3-2*K.1^13,-1*K.1-K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^5-K.1^-5,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1^3+2*K.1^13,K.1^3-2*K.1^13,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-1*K.1-K.1^11,K.1+K.1^11,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1^3+2*K.1^13]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,-2,2,0,0,0,0,-1,0,0,-2*K.1^6,2*K.1^24,-2*K.1^18,2*K.1^12,2*K.1^12,-2*K.1^18,2*K.1^24,-2*K.1^6,-2*K.1^6,-2*K.1^18,2,2,2*K.1^12,2*K.1^24,1,1,-1,-2*K.1^24,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^18,2*K.1^6,-2,-2*K.1^12,2*K.1^6,-2*K.1^12,-2*K.1^24,-2,2*K.1^24,2*K.1^6,2*K.1^18,-2*K.1^6,-2*K.1^12,-2*K.1^24,2*K.1^12,-2*K.1^18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,-1*K.1^24,K.1^6,K.1^18,-1*K.1^12,-1*K.1^24,-1*K.1^12,K.1^18,K.1^18,-1*K.1^24,-1*K.1^12,-1,K.1^6,-1,K.1^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^18,K.1^12,-1*K.1^6,K.1^24,-1*K.1^6,K.1^12,K.1^24,-1*K.1^18,-1*K.1^18,-1*K.1^6,1,1,K.1^12,K.1^24,K.1^12,K.1^24,K.1^6,K.1^18,-1*K.1^6,-1*K.1^18,-1*K.1^12,-1*K.1^24,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^3-2*K.1^13,K.1+K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1-K.1^11,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1^5-K.1^-5,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1-K.1^11,K.1+K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1-K.1^11,K.1^5+K.1^-5,K.1^3-2*K.1^13,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1+K.1^11,K.1^3-2*K.1^13,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^11,-1*K.1^3+2*K.1^13,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1+K.1^11,K.1^3-2*K.1^13,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,-2,2,0,0,0,0,-1,0,0,2*K.1^24,-2*K.1^6,2*K.1^12,-2*K.1^18,-2*K.1^18,2*K.1^12,-2*K.1^6,2*K.1^24,2*K.1^24,2*K.1^12,2,2,-2*K.1^18,-2*K.1^6,1,1,-1,2*K.1^6,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^12,-2*K.1^24,-2,2*K.1^18,-2*K.1^24,2*K.1^18,2*K.1^6,-2,-2*K.1^6,-2*K.1^24,-2*K.1^12,2*K.1^24,2*K.1^18,2*K.1^6,-2*K.1^18,2*K.1^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1^6,-1*K.1^24,-1*K.1^12,K.1^18,K.1^6,K.1^18,-1*K.1^12,-1*K.1^12,K.1^6,K.1^18,-1,-1*K.1^24,-1,-1*K.1^24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^12,-1*K.1^18,K.1^24,-1*K.1^6,K.1^24,-1*K.1^18,-1*K.1^6,K.1^12,K.1^12,K.1^24,1,1,-1*K.1^18,-1*K.1^6,-1*K.1^18,-1*K.1^6,-1*K.1^24,-1*K.1^12,K.1^24,K.1^12,K.1^18,K.1^6,-1*K.1^3+2*K.1^13,-1*K.1-K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1^3-2*K.1^13,K.1+K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1-K.1^11,-1*K.1^3+2*K.1^13,K.1^3-2*K.1^13,-1*K.1-K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1^5-K.1^-5,K.1+K.1^11,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^3+2*K.1^13,K.1+K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^5+K.1^-5,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1^3-2*K.1^13,-1*K.1^3+2*K.1^13,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,K.1+K.1^11,-1*K.1-K.1^11,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1^3-2*K.1^13]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,-2,2,0,0,0,0,-1,0,0,-2*K.1^18,2*K.1^12,2*K.1^24,-2*K.1^6,-2*K.1^6,2*K.1^24,2*K.1^12,-2*K.1^18,-2*K.1^18,2*K.1^24,2,2,-2*K.1^6,2*K.1^12,1,1,-1,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^24,-2*K.1^24,2*K.1^18,-2,2*K.1^6,2*K.1^18,2*K.1^6,-2*K.1^12,-2,2*K.1^12,2*K.1^18,-2*K.1^24,-2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^6,2*K.1^24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1^12,K.1^18,-1*K.1^24,K.1^6,-1*K.1^12,K.1^6,-1*K.1^24,-1*K.1^24,-1*K.1^12,K.1^6,-1,K.1^18,-1,K.1^18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^24,-1*K.1^6,-1*K.1^18,K.1^12,-1*K.1^18,-1*K.1^6,K.1^12,K.1^24,K.1^24,-1*K.1^18,1,1,-1*K.1^6,K.1^12,-1*K.1^6,K.1^12,K.1^18,-1*K.1^24,-1*K.1^18,K.1^24,K.1^6,-1*K.1^12,-1*K.1-K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1^3-2*K.1^13,K.1+K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1^3+2*K.1^13,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^11,K.1+K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^5+K.1^-5,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-1*K.1^3+2*K.1^13,K.1^3-2*K.1^13,-1*K.1-K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1^5-K.1^-5,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,K.1^3-2*K.1^13,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1+K.1^11,-1*K.1-K.1^11,-1*K.1^3+2*K.1^13,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,K.1^3-2*K.1^13,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1+K.1^11]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,-2,2,0,0,0,0,-1,0,0,2*K.1^12,-2*K.1^18,-2*K.1^6,2*K.1^24,2*K.1^24,-2*K.1^6,-2*K.1^18,2*K.1^12,2*K.1^12,-2*K.1^6,2,2,2*K.1^24,-2*K.1^18,1,1,-1,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^6,2*K.1^6,-2*K.1^12,-2,-2*K.1^24,-2*K.1^12,-2*K.1^24,2*K.1^18,-2,-2*K.1^18,-2*K.1^12,2*K.1^6,2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^24,-2*K.1^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,K.1^18,-1*K.1^12,K.1^6,-1*K.1^24,K.1^18,-1*K.1^24,K.1^6,K.1^6,K.1^18,-1*K.1^24,-1,-1*K.1^12,-1,-1*K.1^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^6,K.1^24,K.1^12,-1*K.1^18,K.1^12,K.1^24,-1*K.1^18,-1*K.1^6,-1*K.1^6,K.1^12,1,1,K.1^24,-1*K.1^18,K.1^24,-1*K.1^18,-1*K.1^12,K.1^6,K.1^12,-1*K.1^6,-1*K.1^24,K.1^18,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1^3+2*K.1^13,K.1+K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1^3-2*K.1^13,-1*K.1-K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1^3+2*K.1^13,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1-K.1^11,K.1^5+K.1^-5,K.1^3-2*K.1^13,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^3-2*K.1^13,-1*K.1-K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1^5-K.1^-5,K.1+K.1^11,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^11,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^11,K.1^3-2*K.1^13,-1*K.1^3+2*K.1^13,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^11,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,-2,2,0,0,0,0,-1,0,0,-2*K.1^18,2*K.1^12,2*K.1^24,-2*K.1^6,-2*K.1^6,2*K.1^24,2*K.1^12,-2*K.1^18,-2*K.1^18,2*K.1^24,2,2,-2*K.1^6,2*K.1^12,1,1,-1,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^24,-2*K.1^24,2*K.1^18,-2,2*K.1^6,2*K.1^18,2*K.1^6,-2*K.1^12,-2,2*K.1^12,2*K.1^18,-2*K.1^24,-2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^6,2*K.1^24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,-1*K.1^12,K.1^18,-1*K.1^24,K.1^6,-1*K.1^12,K.1^6,-1*K.1^24,-1*K.1^24,-1*K.1^12,K.1^6,-1,K.1^18,-1,K.1^18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^24,-1*K.1^6,-1*K.1^18,K.1^12,-1*K.1^18,-1*K.1^6,K.1^12,K.1^24,K.1^24,-1*K.1^18,1,1,-1*K.1^6,K.1^12,-1*K.1^6,K.1^12,K.1^18,-1*K.1^24,-1*K.1^18,K.1^24,K.1^6,-1*K.1^12,K.1+K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1-K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1^3-2*K.1^13,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^11,-1*K.1-K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^5-K.1^-5,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,K.1^3-2*K.1^13,-1*K.1^3+2*K.1^13,K.1+K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1^3-2*K.1^13,K.1^5+K.1^-5,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,-1*K.1^3+2*K.1^13,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1-K.1^11,K.1+K.1^11,K.1^3-2*K.1^13,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-1*K.1^3+2*K.1^13,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1-K.1^11]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,-2,2,0,0,0,0,-1,0,0,2*K.1^12,-2*K.1^18,-2*K.1^6,2*K.1^24,2*K.1^24,-2*K.1^6,-2*K.1^18,2*K.1^12,2*K.1^12,-2*K.1^6,2,2,2*K.1^24,-2*K.1^18,1,1,-1,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^6,2*K.1^6,-2*K.1^12,-2,-2*K.1^24,-2*K.1^12,-2*K.1^24,2*K.1^18,-2,-2*K.1^18,-2*K.1^12,2*K.1^6,2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^24,-2*K.1^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1^18,-1*K.1^12,K.1^6,-1*K.1^24,K.1^18,-1*K.1^24,K.1^6,K.1^6,K.1^18,-1*K.1^24,-1,-1*K.1^12,-1,-1*K.1^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^6,K.1^24,K.1^12,-1*K.1^18,K.1^12,K.1^24,-1*K.1^18,-1*K.1^6,-1*K.1^6,K.1^12,1,1,K.1^24,-1*K.1^18,K.1^24,-1*K.1^18,-1*K.1^12,K.1^6,K.1^12,-1*K.1^6,-1*K.1^24,K.1^18,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1^3-2*K.1^13,-1*K.1-K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1^3+2*K.1^13,K.1+K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1^3-2*K.1^13,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^3-2*K.1^13,K.1+K.1^11,-1*K.1^5-K.1^-5,-1*K.1^3+2*K.1^13,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^3+2*K.1^13,K.1+K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1^5+K.1^-5,-1*K.1-K.1^11,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^11,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^11,-1*K.1^3+2*K.1^13,K.1^3-2*K.1^13,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^11,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,2,-2,0,0,0,0,-1,0,0,-2*K.1^6,2*K.1^24,-2*K.1^18,2*K.1^12,2*K.1^12,-2*K.1^18,2*K.1^24,-2*K.1^6,-2*K.1^6,-2*K.1^18,2,2,2*K.1^12,2*K.1^24,1,-1,1,-2*K.1^24,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^18,2*K.1^6,-2,-2*K.1^12,2*K.1^6,-2*K.1^12,-2*K.1^24,-2,-2*K.1^24,-2*K.1^6,-2*K.1^18,2*K.1^6,2*K.1^12,2*K.1^24,-2*K.1^12,2*K.1^18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,-1*K.1^24,K.1^6,K.1^18,-1*K.1^12,-1*K.1^24,-1*K.1^12,K.1^18,K.1^18,-1*K.1^24,-1*K.1^12,-1,K.1^6,-1,K.1^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^18,K.1^12,-1*K.1^6,K.1^24,-1*K.1^6,K.1^12,K.1^24,-1*K.1^18,-1*K.1^18,-1*K.1^6,1,1,K.1^12,K.1^24,-1*K.1^12,-1*K.1^24,-1*K.1^6,-1*K.1^18,K.1^6,K.1^18,K.1^12,K.1^24,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1-K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^3-2*K.1^13,K.1+K.1^11,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1^3-2*K.1^13,K.1^5+K.1^-5,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1+K.1^11,-1*K.1-K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^3-2*K.1^13,K.1+K.1^11,-1*K.1^5-K.1^-5,-1*K.1^3+2*K.1^13,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1-K.1^11,-1*K.1^3+2*K.1^13,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^11,-1*K.1^3+2*K.1^13,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1+K.1^11,K.1^3-2*K.1^13,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,2,-2,0,0,0,0,-1,0,0,2*K.1^24,-2*K.1^6,2*K.1^12,-2*K.1^18,-2*K.1^18,2*K.1^12,-2*K.1^6,2*K.1^24,2*K.1^24,2*K.1^12,2,2,-2*K.1^18,-2*K.1^6,1,-1,1,2*K.1^6,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^12,-2*K.1^24,-2,2*K.1^18,-2*K.1^24,2*K.1^18,2*K.1^6,-2,2*K.1^6,2*K.1^24,2*K.1^12,-2*K.1^24,-2*K.1^18,-2*K.1^6,2*K.1^18,-2*K.1^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1^6,-1*K.1^24,-1*K.1^12,K.1^18,K.1^6,K.1^18,-1*K.1^12,-1*K.1^12,K.1^6,K.1^18,-1,-1*K.1^24,-1,-1*K.1^24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^12,-1*K.1^18,K.1^24,-1*K.1^6,K.1^24,-1*K.1^18,-1*K.1^6,K.1^12,K.1^12,K.1^24,1,1,-1*K.1^18,-1*K.1^6,K.1^18,K.1^6,K.1^24,K.1^12,-1*K.1^24,-1*K.1^12,-1*K.1^18,-1*K.1^6,K.1^3-2*K.1^13,K.1+K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1-K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1+K.1^11,K.1^3-2*K.1^13,-1*K.1^3+2*K.1^13,K.1+K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1^5+K.1^-5,-1*K.1-K.1^11,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^3-2*K.1^13,-1*K.1-K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^5-K.1^-5,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1^3+2*K.1^13,-1*K.1^3+2*K.1^13,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,K.1+K.1^11,-1*K.1-K.1^11,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1^3-2*K.1^13]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,2,-2,0,0,0,0,-1,0,0,-2*K.1^6,2*K.1^24,-2*K.1^18,2*K.1^12,2*K.1^12,-2*K.1^18,2*K.1^24,-2*K.1^6,-2*K.1^6,-2*K.1^18,2,2,2*K.1^12,2*K.1^24,1,-1,1,-2*K.1^24,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^18,2*K.1^6,-2,-2*K.1^12,2*K.1^6,-2*K.1^12,-2*K.1^24,-2,-2*K.1^24,-2*K.1^6,-2*K.1^18,2*K.1^6,2*K.1^12,2*K.1^24,-2*K.1^12,2*K.1^18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1^24,K.1^6,K.1^18,-1*K.1^12,-1*K.1^24,-1*K.1^12,K.1^18,K.1^18,-1*K.1^24,-1*K.1^12,-1,K.1^6,-1,K.1^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^18,K.1^12,-1*K.1^6,K.1^24,-1*K.1^6,K.1^12,K.1^24,-1*K.1^18,-1*K.1^18,-1*K.1^6,1,1,K.1^12,K.1^24,-1*K.1^12,-1*K.1^24,-1*K.1^6,-1*K.1^18,K.1^6,K.1^18,K.1^12,K.1^24,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^3-2*K.1^13,K.1+K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1-K.1^11,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1^5-K.1^-5,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1-K.1^11,K.1+K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1-K.1^11,K.1^5+K.1^-5,K.1^3-2*K.1^13,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1+K.1^11,K.1^3-2*K.1^13,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^11,K.1^3-2*K.1^13,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1-K.1^11,-1*K.1^3+2*K.1^13,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,2,-2,0,0,0,0,-1,0,0,2*K.1^24,-2*K.1^6,2*K.1^12,-2*K.1^18,-2*K.1^18,2*K.1^12,-2*K.1^6,2*K.1^24,2*K.1^24,2*K.1^12,2,2,-2*K.1^18,-2*K.1^6,1,-1,1,2*K.1^6,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^12,-2*K.1^24,-2,2*K.1^18,-2*K.1^24,2*K.1^18,2*K.1^6,-2,2*K.1^6,2*K.1^24,2*K.1^12,-2*K.1^24,-2*K.1^18,-2*K.1^6,2*K.1^18,-2*K.1^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,K.1^6,-1*K.1^24,-1*K.1^12,K.1^18,K.1^6,K.1^18,-1*K.1^12,-1*K.1^12,K.1^6,K.1^18,-1,-1*K.1^24,-1,-1*K.1^24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^12,-1*K.1^18,K.1^24,-1*K.1^6,K.1^24,-1*K.1^18,-1*K.1^6,K.1^12,K.1^12,K.1^24,1,1,-1*K.1^18,-1*K.1^6,K.1^18,K.1^6,K.1^24,K.1^12,-1*K.1^24,-1*K.1^12,-1*K.1^18,-1*K.1^6,-1*K.1^3+2*K.1^13,-1*K.1-K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1^3-2*K.1^13,K.1+K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1-K.1^11,-1*K.1^3+2*K.1^13,K.1^3-2*K.1^13,-1*K.1-K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1^5-K.1^-5,K.1+K.1^11,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^3+2*K.1^13,K.1+K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^5+K.1^-5,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1^3-2*K.1^13,K.1^3-2*K.1^13,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-1*K.1-K.1^11,K.1+K.1^11,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1^3+2*K.1^13]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,2,-2,0,0,0,0,-1,0,0,-2*K.1^18,2*K.1^12,2*K.1^24,-2*K.1^6,-2*K.1^6,2*K.1^24,2*K.1^12,-2*K.1^18,-2*K.1^18,2*K.1^24,2,2,-2*K.1^6,2*K.1^12,1,-1,1,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^24,-2*K.1^24,2*K.1^18,-2,2*K.1^6,2*K.1^18,2*K.1^6,-2*K.1^12,-2,-2*K.1^12,-2*K.1^18,2*K.1^24,2*K.1^18,-2*K.1^6,2*K.1^12,2*K.1^6,-2*K.1^24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,-1*K.1^12,K.1^18,-1*K.1^24,K.1^6,-1*K.1^12,K.1^6,-1*K.1^24,-1*K.1^24,-1*K.1^12,K.1^6,-1,K.1^18,-1,K.1^18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^24,-1*K.1^6,-1*K.1^18,K.1^12,-1*K.1^18,-1*K.1^6,K.1^12,K.1^24,K.1^24,-1*K.1^18,1,1,-1*K.1^6,K.1^12,K.1^6,-1*K.1^12,-1*K.1^18,K.1^24,K.1^18,-1*K.1^24,-1*K.1^6,K.1^12,-1*K.1-K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1^3-2*K.1^13,K.1+K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1^3+2*K.1^13,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^11,K.1+K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^5+K.1^-5,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-1*K.1^3+2*K.1^13,K.1^3-2*K.1^13,-1*K.1-K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1^5-K.1^-5,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,K.1^3-2*K.1^13,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1+K.1^11,K.1+K.1^11,K.1^3-2*K.1^13,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-1*K.1^3+2*K.1^13,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1-K.1^11]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,2,-2,0,0,0,0,-1,0,0,2*K.1^12,-2*K.1^18,-2*K.1^6,2*K.1^24,2*K.1^24,-2*K.1^6,-2*K.1^18,2*K.1^12,2*K.1^12,-2*K.1^6,2,2,2*K.1^24,-2*K.1^18,1,-1,1,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^6,2*K.1^6,-2*K.1^12,-2,-2*K.1^24,-2*K.1^12,-2*K.1^24,2*K.1^18,-2,2*K.1^18,2*K.1^12,-2*K.1^6,-2*K.1^12,2*K.1^24,-2*K.1^18,-2*K.1^24,2*K.1^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1^18,-1*K.1^12,K.1^6,-1*K.1^24,K.1^18,-1*K.1^24,K.1^6,K.1^6,K.1^18,-1*K.1^24,-1,-1*K.1^12,-1,-1*K.1^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^6,K.1^24,K.1^12,-1*K.1^18,K.1^12,K.1^24,-1*K.1^18,-1*K.1^6,-1*K.1^6,K.1^12,1,1,K.1^24,-1*K.1^18,-1*K.1^24,K.1^18,K.1^12,-1*K.1^6,-1*K.1^12,K.1^6,K.1^24,-1*K.1^18,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1^3+2*K.1^13,K.1+K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1^3-2*K.1^13,-1*K.1-K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1^3+2*K.1^13,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1-K.1^11,K.1^5+K.1^-5,K.1^3-2*K.1^13,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^3-2*K.1^13,-1*K.1-K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1^5-K.1^-5,K.1+K.1^11,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^11,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^11,-1*K.1^3+2*K.1^13,K.1^3-2*K.1^13,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^11,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,2,-2,0,0,0,0,-1,0,0,-2*K.1^18,2*K.1^12,2*K.1^24,-2*K.1^6,-2*K.1^6,2*K.1^24,2*K.1^12,-2*K.1^18,-2*K.1^18,2*K.1^24,2,2,-2*K.1^6,2*K.1^12,1,-1,1,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^24,-2*K.1^24,2*K.1^18,-2,2*K.1^6,2*K.1^18,2*K.1^6,-2*K.1^12,-2,-2*K.1^12,-2*K.1^18,2*K.1^24,2*K.1^18,-2*K.1^6,2*K.1^12,2*K.1^6,-2*K.1^24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,-1*K.1^12,K.1^18,-1*K.1^24,K.1^6,-1*K.1^12,K.1^6,-1*K.1^24,-1*K.1^24,-1*K.1^12,K.1^6,-1,K.1^18,-1,K.1^18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^24,-1*K.1^6,-1*K.1^18,K.1^12,-1*K.1^18,-1*K.1^6,K.1^12,K.1^24,K.1^24,-1*K.1^18,1,1,-1*K.1^6,K.1^12,K.1^6,-1*K.1^12,-1*K.1^18,K.1^24,K.1^18,-1*K.1^24,-1*K.1^6,K.1^12,K.1+K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1^3+2*K.1^13,-1*K.1-K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1^3-2*K.1^13,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^11,-1*K.1-K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^5-K.1^-5,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,K.1^3-2*K.1^13,-1*K.1^3+2*K.1^13,K.1+K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1^3-2*K.1^13,K.1^5+K.1^-5,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,-1*K.1^3+2*K.1^13,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1-K.1^11,-1*K.1-K.1^11,-1*K.1^3+2*K.1^13,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,K.1^3-2*K.1^13,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1+K.1^11]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |2,-2,2,-2,0,0,0,0,-1,0,0,2*K.1^12,-2*K.1^18,-2*K.1^6,2*K.1^24,2*K.1^24,-2*K.1^6,-2*K.1^18,2*K.1^12,2*K.1^12,-2*K.1^6,2,2,2*K.1^24,-2*K.1^18,1,-1,1,2*K.1^18,2*K.1^6,-2*K.1^12,-2*K.1^24,2*K.1^18,2*K.1^6,2*K.1^6,-2*K.1^12,-2,-2*K.1^24,-2*K.1^12,-2*K.1^24,2*K.1^18,-2,2*K.1^18,2*K.1^12,-2*K.1^6,-2*K.1^12,2*K.1^24,-2*K.1^18,-2*K.1^24,2*K.1^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,-1*K.1^5-K.1^-5,K.1^5+K.1^-5,K.1^18,-1*K.1^12,K.1^6,-1*K.1^24,K.1^18,-1*K.1^24,K.1^6,K.1^6,K.1^18,-1*K.1^24,-1,-1*K.1^12,-1,-1*K.1^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1^6,K.1^24,K.1^12,-1*K.1^18,K.1^12,K.1^24,-1*K.1^18,-1*K.1^6,-1*K.1^6,K.1^12,1,1,K.1^24,-1*K.1^18,-1*K.1^24,K.1^18,K.1^12,-1*K.1^6,-1*K.1^12,K.1^6,K.1^24,-1*K.1^18,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,K.1^3-2*K.1^13,-1*K.1-K.1^11,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,-1*K.1^3+2*K.1^13,K.1+K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1^3-2*K.1^13,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1^3-2*K.1^13,K.1+K.1^11,-1*K.1^5-K.1^-5,-1*K.1^3+2*K.1^13,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15,-1*K.1^3+2*K.1^13,K.1+K.1^11,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1^5+K.1^-5,-1*K.1-K.1^11,K.1^5+K.1^-5,-1*K.1^5-K.1^-5,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^11,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,2*K.1-2*K.1^5-2*K.1^7-K.1^9+2*K.1^13+2*K.1^15,K.1+K.1^3-2*K.1^7-K.1^9-K.1^11+K.1^15,-1*K.1-K.1^11,K.1^3-2*K.1^13,-1*K.1^3+2*K.1^13,-1*K.1-K.1^3+2*K.1^7+K.1^9+K.1^11-K.1^15,K.1+K.1^11,-2*K.1+2*K.1^5+2*K.1^7+K.1^9-2*K.1^13-2*K.1^15]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,4,0,4,4,4,4,2*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+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1+2*K.1^-1,2*K.1+2*K.1^-1,-2,0,0,4,4,4,4,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1+2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,-2,-2,-2,-2,-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-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,4,4,4,4,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-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^-2,0,0,0,0,-2,-2,-2,-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,-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^-2,0,0,0,0,0,0,0,0,-2,-2,-2,-2,-2,-2,-2,-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,-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.1^2-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.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,4,0,4,4,4,4,2*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*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1^2+2*K.1^-2,-2,0,0,4,4,4,4,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1^2+2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,-2,-2,-2,-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.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,4,4,4,4,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1^2+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^-1,0,0,0,0,-2,-2,-2,-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.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,0,0,0,0,0,0,0,0,-2,-2,-2,-2,-2,-2,-2,-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,-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.1^2-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-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,4,0,0,4,4,4,4,2*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+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1+2*K.1^-1,2*K.1+2*K.1^-1,-4,0,0,-4,-4,-4,-4,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,2*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*K.1^-1,2*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,-4,-4,-4,-4,-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,-2*K.1^2-2*K.1^-2,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1^2-2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,4,0,0,4,4,4,4,2*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*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1^2+2*K.1^-2,-4,0,0,-4,-4,-4,-4,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1^2-2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,4,4,2*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+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*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,-4,-4,-4,-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.1^2-2*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*K.1-2*K.1^-1,-2*K.1-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,-4,0,4,4,4,4,2*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+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1+2*K.1^-1,2*K.1+2*K.1^-1,-2,0,0,4,4,4,4,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1+2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-2,-2,-2,-2,-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-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-4,-4,-4,-4,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-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^-2,0,0,0,0,-2,-2,-2,-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,-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^-2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,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,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.1^2+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.1^2+K.1^-2,K.1^2+K.1^-2,K.1^2+K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,-4,0,4,4,4,4,2*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*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1^2+2*K.1^-2,-2,0,0,4,4,4,4,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1^2+2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-2,-2,-2,-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.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-4,-4,-4,-4,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1^2-2*K.1^-2,-2*K.1^2-2*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^-1,0,0,0,0,-2,-2,-2,-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.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,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,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.1^2+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+K.1^-1,K.1+K.1^-1,K.1+K.1^-1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,4,0,4*K.1^-2,4*K.1^2,4*K.1^-1,4*K.1,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^2,2+2*K.1^-1,-2-2*K.1-2*K.1^-2,2+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*K.1^2,2*K.1+2*K.1^-2,-2,0,0,4*K.1^2,4*K.1^-1,4*K.1^-2,4*K.1,2+2*K.1^-1,2+2*K.1^-2,2*K.1+2*K.1^2,-2-2*K.1-2*K.1^-2,2*K.1^2+2*K.1^-2,2+2*K.1^2,2+2*K.1,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^-2,2*K.1+2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1,-1*K.1-K.1^-2,-1-K.1^2,-1-K.1^-2,-1*K.1-K.1^2,-1-K.1^-1,1+K.1+K.1^2,-1*K.1-K.1^-1,-1-K.1,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,4*K.1,4*K.1^-1,4*K.1^-2,4*K.1^2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,-2-2*K.1-2*K.1^2,2+2*K.1^-2,2+2*K.1^2,-2-2*K.1-2*K.1^-2,2*K.1+2*K.1^-2,2*K.1+2*K.1^2,2+2*K.1,2+2*K.1^-1,0,0,0,0,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^2,1+K.1+K.1^-2,-1-K.1^2,-1*K.1-K.1^-2,-1-K.1^-2,-1*K.1-K.1^2,-1-K.1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,1+K.1+K.1^2,-1-K.1^-1,0,0,0,0,0,0,0,0,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-1*K.1-K.1^-2,1+K.1+K.1^2,-1-K.1^2,-1-K.1^-1,-1-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1-K.1,1+K.1+K.1^-2,-1-K.1^2,-1-K.1^-1,-1*K.1-K.1^2,1+K.1+K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1-K.1,-1*K.1-K.1^2,1+K.1+K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,4,0,4*K.1^2,4*K.1^-2,4*K.1,4*K.1^-1,2*K.1+2*K.1^2,-2-2*K.1-2*K.1^2,2+2*K.1,2*K.1+2*K.1^-2,2+2*K.1^-1,2+2*K.1^2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2+2*K.1^-2,-2-2*K.1-2*K.1^-2,-2,0,0,4*K.1^-2,4*K.1,4*K.1^2,4*K.1^-1,2+2*K.1,2+2*K.1^2,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^-2,2*K.1^2+2*K.1^-2,2+2*K.1^-2,2+2*K.1^-1,2*K.1+2*K.1^2,-2-2*K.1-2*K.1^-2,2*K.1+2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^-1,1+K.1+K.1^-2,-1-K.1^-2,-1-K.1^2,1+K.1+K.1^2,-1-K.1,-1*K.1-K.1^2,-1*K.1-K.1^-1,-1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,4*K.1^-1,4*K.1,4*K.1^2,4*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1+2*K.1^2,2+2*K.1^2,2+2*K.1^-2,2*K.1+2*K.1^-2,-2-2*K.1-2*K.1^-2,-2-2*K.1-2*K.1^2,2+2*K.1^-1,2+2*K.1,0,0,0,0,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,-1*K.1-K.1^-2,-1-K.1^-2,1+K.1+K.1^-2,-1-K.1^2,1+K.1+K.1^2,-1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1-K.1,0,0,0,0,0,0,0,0,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,1+K.1+K.1^-2,-1*K.1-K.1^2,-1-K.1^-2,-1-K.1,-1-K.1^2,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1-K.1^-1,-1*K.1-K.1^-2,-1-K.1^-2,-1-K.1,1+K.1+K.1^2,-1*K.1-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1-K.1^-1,1+K.1+K.1^2,-1*K.1-K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,4,0,4*K.1^-1,4*K.1,4*K.1^2,4*K.1^-2,-2-2*K.1-2*K.1^-2,2*K.1+2*K.1^-2,2+2*K.1^2,2*K.1+2*K.1^2,2+2*K.1^-2,2+2*K.1^-1,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2+2*K.1,-2-2*K.1-2*K.1^2,-2,0,0,4*K.1,4*K.1^2,4*K.1^-1,4*K.1^-2,2+2*K.1^2,2+2*K.1^-1,2*K.1+2*K.1^-2,2*K.1+2*K.1^2,2*K.1+2*K.1^-1,2+2*K.1,2+2*K.1^-2,-2-2*K.1-2*K.1^-2,-2-2*K.1-2*K.1^2,2*K.1^2+2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,1+K.1+K.1^2,-1-K.1,-1-K.1^-1,-1*K.1-K.1^-2,-1-K.1^2,1+K.1+K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^2,4*K.1^-2,4*K.1^2,4*K.1^-1,4*K.1,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,-2-2*K.1-2*K.1^-2,2+2*K.1^-1,2+2*K.1,2*K.1+2*K.1^2,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^-2,2+2*K.1^-2,2+2*K.1^2,0,0,0,0,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1,-1*K.1-K.1^2,-1-K.1,1+K.1+K.1^2,-1-K.1^-1,-1*K.1-K.1^-2,-1-K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1-K.1^2,0,0,0,0,0,0,0,0,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,1+K.1+K.1^2,1+K.1+K.1^-2,-1-K.1,-1-K.1^2,-1-K.1^-1,-1*K.1-K.1^-1,1+K.1+K.1^2,-1-K.1^-2,-1*K.1-K.1^2,-1-K.1,-1-K.1^2,-1*K.1-K.1^-2,-1*K.1-K.1^2,-1*K.1-K.1^-1,-1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^-2,-1*K.1-K.1^-2,1+K.1+K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,4,0,4*K.1,4*K.1^-1,4*K.1^-2,4*K.1^2,2*K.1+2*K.1^-2,-2-2*K.1-2*K.1^-2,2+2*K.1^-2,-2-2*K.1-2*K.1^2,2+2*K.1^2,2+2*K.1,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2+2*K.1^-1,2*K.1+2*K.1^2,-2,0,0,4*K.1^-1,4*K.1^-2,4*K.1,4*K.1^2,2+2*K.1^-2,2+2*K.1,-2-2*K.1-2*K.1^-2,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^-1,2+2*K.1^-1,2+2*K.1^2,2*K.1+2*K.1^-2,2*K.1+2*K.1^2,2*K.1^2+2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^2,-1*K.1-K.1^2,-1-K.1^-1,-1-K.1,1+K.1+K.1^-2,-1-K.1^-2,-1*K.1-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^2,-1*K.1-K.1^-1,1+K.1+K.1^2,4*K.1^2,4*K.1^-2,4*K.1,4*K.1^-1,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-2,2+2*K.1,2+2*K.1^-1,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^2,-2-2*K.1-2*K.1^-2,2+2*K.1^2,2+2*K.1^-2,0,0,0,0,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^-1,1+K.1+K.1^2,-1-K.1^-1,-1*K.1-K.1^2,-1-K.1,1+K.1+K.1^-2,-1-K.1^2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1-K.1^-2,0,0,0,0,0,0,0,0,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-1*K.1-K.1^2,-1*K.1-K.1^-2,-1-K.1^-1,-1-K.1^-2,-1-K.1,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1-K.1^2,1+K.1+K.1^2,-1-K.1^-1,-1-K.1^-2,1+K.1+K.1^-2,1+K.1+K.1^2,-1*K.1-K.1^-1,-1-K.1,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^2,1+K.1+K.1^-2,-1*K.1-K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,4,0,4*K.1^-2,4*K.1^2,4*K.1^-1,4*K.1,2+2*K.1^2,2+2*K.1^-2,2*K.1+2*K.1^-2,2+2*K.1,-2-2*K.1-2*K.1^-2,2*K.1+2*K.1^2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,-2-2*K.1-2*K.1^2,2+2*K.1^-1,-2,0,0,4*K.1^2,4*K.1^-1,4*K.1^-2,4*K.1,2*K.1+2*K.1^-2,2*K.1+2*K.1^2,2+2*K.1^-2,2+2*K.1,2*K.1+2*K.1^-1,-2-2*K.1-2*K.1^2,-2-2*K.1-2*K.1^-2,2+2*K.1^2,2+2*K.1^-1,2*K.1^2+2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1,-1-K.1^-1,1+K.1+K.1^2,-1*K.1-K.1^2,-1-K.1^-2,-1*K.1-K.1^-2,-1-K.1^2,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1*K.1-K.1^-1,-1-K.1,4*K.1,4*K.1^-1,4*K.1^-2,4*K.1^2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2+2*K.1^2,2*K.1+2*K.1^2,-2-2*K.1-2*K.1^2,2+2*K.1,2+2*K.1^-1,2+2*K.1^-2,-2-2*K.1-2*K.1^-2,2*K.1+2*K.1^-2,0,0,0,0,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^2,-1-K.1,1+K.1+K.1^2,-1-K.1^-1,-1*K.1-K.1^2,-1-K.1^-2,1+K.1+K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1-K.1^2,-1*K.1-K.1^-2,0,0,0,0,0,0,0,0,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-1-K.1^-1,-1-K.1^2,1+K.1+K.1^2,-1*K.1-K.1^-2,-1*K.1-K.1^2,-1*K.1-K.1^-1,-1-K.1^-1,1+K.1+K.1^-2,-1-K.1,1+K.1+K.1^2,-1*K.1-K.1^-2,-1-K.1^-2,-1-K.1,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1-K.1^-2,-1-K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,4,0,4*K.1^2,4*K.1^-2,4*K.1,4*K.1^-1,2+2*K.1^-2,2+2*K.1^2,-2-2*K.1-2*K.1^-2,2+2*K.1^-1,2*K.1+2*K.1^-2,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^2,2+2*K.1,-2,0,0,4*K.1^-2,4*K.1,4*K.1^2,4*K.1^-1,-2-2*K.1-2*K.1^-2,-2-2*K.1-2*K.1^2,2+2*K.1^2,2+2*K.1^-1,2*K.1+2*K.1^-1,2*K.1+2*K.1^2,2*K.1+2*K.1^-2,2+2*K.1^-2,2+2*K.1,2*K.1^2+2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^-1,-1-K.1,-1*K.1-K.1^2,1+K.1+K.1^2,-1-K.1^2,1+K.1+K.1^-2,-1-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1*K.1-K.1^-1,-1-K.1^-1,4*K.1^-1,4*K.1,4*K.1^2,4*K.1^-2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2+2*K.1^-2,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^2,2+2*K.1^-1,2+2*K.1,2+2*K.1^2,2*K.1+2*K.1^-2,-2-2*K.1-2*K.1^-2,0,0,0,0,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,-1-K.1^-1,-1*K.1-K.1^2,-1-K.1,1+K.1+K.1^2,-1-K.1^2,-1*K.1-K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1-K.1^-2,1+K.1+K.1^-2,0,0,0,0,0,0,0,0,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-1-K.1,-1-K.1^-2,-1*K.1-K.1^2,1+K.1+K.1^-2,1+K.1+K.1^2,-1*K.1-K.1^-1,-1-K.1,-1*K.1-K.1^-2,-1-K.1^-1,-1*K.1-K.1^2,1+K.1+K.1^-2,-1-K.1^2,-1-K.1^-1,-1*K.1-K.1^-1,1+K.1+K.1^2,-1*K.1^2-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1-K.1^2,-1-K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,4,0,4*K.1^-1,4*K.1,4*K.1^2,4*K.1^-2,2+2*K.1,2+2*K.1^-1,-2-2*K.1-2*K.1^2,2+2*K.1^-2,2*K.1+2*K.1^2,2*K.1+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,-2-2*K.1-2*K.1^-2,2+2*K.1^2,-2,0,0,4*K.1,4*K.1^2,4*K.1^-1,4*K.1^-2,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^-2,2+2*K.1^-1,2+2*K.1^-2,2*K.1^2+2*K.1^-2,-2-2*K.1-2*K.1^-2,2*K.1+2*K.1^2,2+2*K.1,2+2*K.1^2,2*K.1+2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,-1-K.1^2,1+K.1+K.1^-2,-1*K.1-K.1^-2,-1-K.1^-1,1+K.1+K.1^2,-1-K.1,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1*K.1^2-K.1^-2,-1-K.1^-2,4*K.1^-2,4*K.1^2,4*K.1^-1,4*K.1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2+2*K.1,2*K.1+2*K.1^-2,-2-2*K.1-2*K.1^-2,2+2*K.1^-2,2+2*K.1^2,2+2*K.1^-1,2*K.1+2*K.1^2,-2-2*K.1-2*K.1^2,0,0,0,0,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1,-1-K.1^-2,1+K.1+K.1^-2,-1-K.1^2,-1*K.1-K.1^-2,-1-K.1^-1,-1*K.1-K.1^2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1-K.1,1+K.1+K.1^2,0,0,0,0,0,0,0,0,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-1-K.1^2,-1-K.1,1+K.1+K.1^-2,1+K.1+K.1^2,-1*K.1-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^2,-1*K.1-K.1^2,-1-K.1^-2,1+K.1+K.1^-2,1+K.1+K.1^2,-1-K.1^-1,-1-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1-K.1^-1,-1-K.1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,4,0,4*K.1,4*K.1^-1,4*K.1^-2,4*K.1^2,2+2*K.1^-1,2+2*K.1,2*K.1+2*K.1^2,2+2*K.1^2,-2-2*K.1-2*K.1^2,-2-2*K.1-2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1+2*K.1^-2,2+2*K.1^-2,-2,0,0,4*K.1^-1,4*K.1^-2,4*K.1,4*K.1^2,2*K.1+2*K.1^2,-2-2*K.1-2*K.1^-2,2+2*K.1,2+2*K.1^2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-2,-2-2*K.1-2*K.1^2,2+2*K.1^-1,2+2*K.1^-2,2*K.1+2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^2,-1-K.1^-2,-1*K.1-K.1^-2,1+K.1+K.1^-2,-1-K.1,-1*K.1-K.1^2,-1-K.1^-1,-1*K.1-K.1^-1,1+K.1+K.1^2,-1*K.1^2-K.1^-2,-1-K.1^2,4*K.1^2,4*K.1^-2,4*K.1,4*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2+2*K.1^-1,-2-2*K.1-2*K.1^-2,2*K.1+2*K.1^-2,2+2*K.1^2,2+2*K.1^-2,2+2*K.1,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^2,0,0,0,0,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^-1,-1-K.1^2,-1*K.1-K.1^-2,-1-K.1^-2,1+K.1+K.1^-2,-1-K.1,1+K.1+K.1^2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1-K.1^-1,-1*K.1-K.1^2,0,0,0,0,0,0,0,0,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-2*K.1^2,-2*K.1^-1,-2*K.1^-2,-2*K.1,-1-K.1^-2,-1-K.1^-1,-1*K.1-K.1^-2,-1*K.1-K.1^2,1+K.1+K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^-2,1+K.1+K.1^2,-1-K.1^2,-1*K.1-K.1^-2,-1*K.1-K.1^2,-1-K.1,-1-K.1^2,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^-1,1+K.1+K.1^2,-1-K.1,-1-K.1^-1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,4,0,0,4*K.1^-2,4*K.1^2,4*K.1^-1,4*K.1,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^2,2+2*K.1^-1,-2-2*K.1-2*K.1^-2,2+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*K.1^2,2*K.1+2*K.1^-2,-4,0,0,-4*K.1^2,-4*K.1^-1,-4*K.1^-2,-4*K.1,-2-2*K.1^-1,-2-2*K.1^-2,-2*K.1-2*K.1^2,2+2*K.1+2*K.1^-2,-2*K.1^2-2*K.1^-2,-2-2*K.1^2,-2-2*K.1,2+2*K.1+2*K.1^2,-2*K.1-2*K.1^-2,-2*K.1-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1^2,4*K.1^-2,4*K.1^-1,4*K.1,2*K.1+2*K.1^-2,2+2*K.1^2,2+2*K.1^-2,2*K.1+2*K.1^2,2+2*K.1^-1,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^-1,2+2*K.1,2*K.1^2+2*K.1^-2,-2-2*K.1-2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1^-1,-4*K.1,-4*K.1^-2,-4*K.1^2,2+2*K.1+2*K.1^-2,-2-2*K.1^2,-2*K.1-2*K.1^-2,-2-2*K.1^-2,-2*K.1-2*K.1^2,-2-2*K.1,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,2+2*K.1+2*K.1^2,-2-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,4,0,0,4*K.1^2,4*K.1^-2,4*K.1,4*K.1^-1,2*K.1+2*K.1^2,-2-2*K.1-2*K.1^2,2+2*K.1,2*K.1+2*K.1^-2,2+2*K.1^-1,2+2*K.1^2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2+2*K.1^-2,-2-2*K.1-2*K.1^-2,-4,0,0,-4*K.1^-2,-4*K.1,-4*K.1^2,-4*K.1^-1,-2-2*K.1,-2-2*K.1^2,2+2*K.1+2*K.1^2,-2*K.1-2*K.1^-2,-2*K.1^2-2*K.1^-2,-2-2*K.1^-2,-2-2*K.1^-1,-2*K.1-2*K.1^2,2+2*K.1+2*K.1^-2,-2*K.1-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1^-2,4*K.1^2,4*K.1,4*K.1^-1,-2-2*K.1-2*K.1^-2,2+2*K.1^-2,2+2*K.1^2,-2-2*K.1-2*K.1^2,2+2*K.1,2*K.1+2*K.1^2,2*K.1+2*K.1^-1,2+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1,-4*K.1^-1,-4*K.1^2,-4*K.1^-2,-2*K.1-2*K.1^-2,-2-2*K.1^-2,2+2*K.1+2*K.1^-2,-2-2*K.1^2,2+2*K.1+2*K.1^2,-2-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1-2*K.1^2,-2-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,4,0,0,4*K.1^-1,4*K.1,4*K.1^2,4*K.1^-2,-2-2*K.1-2*K.1^-2,2*K.1+2*K.1^-2,2+2*K.1^2,2*K.1+2*K.1^2,2+2*K.1^-2,2+2*K.1^-1,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2+2*K.1,-2-2*K.1-2*K.1^2,-4,0,0,-4*K.1,-4*K.1^2,-4*K.1^-1,-4*K.1^-2,-2-2*K.1^2,-2-2*K.1^-1,-2*K.1-2*K.1^-2,-2*K.1-2*K.1^2,-2*K.1-2*K.1^-1,-2-2*K.1,-2-2*K.1^-2,2+2*K.1+2*K.1^-2,2+2*K.1+2*K.1^2,-2*K.1^2-2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1,4*K.1^-1,4*K.1^2,4*K.1^-2,-2-2*K.1-2*K.1^2,2+2*K.1,2+2*K.1^-1,2*K.1+2*K.1^-2,2+2*K.1^2,-2-2*K.1-2*K.1^-2,2*K.1^2+2*K.1^-2,2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1+2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1^2,-4*K.1^-2,-4*K.1^-1,-4*K.1,-2*K.1-2*K.1^2,-2-2*K.1,2+2*K.1+2*K.1^2,-2-2*K.1^-1,-2*K.1-2*K.1^-2,-2-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,2+2*K.1+2*K.1^-2,-2-2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,4,0,0,4*K.1,4*K.1^-1,4*K.1^-2,4*K.1^2,2*K.1+2*K.1^-2,-2-2*K.1-2*K.1^-2,2+2*K.1^-2,-2-2*K.1-2*K.1^2,2+2*K.1^2,2+2*K.1,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2+2*K.1^-1,2*K.1+2*K.1^2,-4,0,0,-4*K.1^-1,-4*K.1^-2,-4*K.1,-4*K.1^2,-2-2*K.1^-2,-2-2*K.1,2+2*K.1+2*K.1^-2,2+2*K.1+2*K.1^2,-2*K.1-2*K.1^-1,-2-2*K.1^-1,-2-2*K.1^2,-2*K.1-2*K.1^-2,-2*K.1-2*K.1^2,-2*K.1^2-2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1^-1,4*K.1,4*K.1^-2,4*K.1^2,2*K.1+2*K.1^2,2+2*K.1^-1,2+2*K.1,-2-2*K.1-2*K.1^-2,2+2*K.1^-2,2*K.1+2*K.1^-2,2*K.1^2+2*K.1^-2,2+2*K.1^2,2*K.1+2*K.1^-1,-2-2*K.1-2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1^-2,-4*K.1^2,-4*K.1,-4*K.1^-1,2+2*K.1+2*K.1^2,-2-2*K.1^-1,-2*K.1-2*K.1^2,-2-2*K.1,2+2*K.1+2*K.1^-2,-2-2*K.1^2,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-2,-2-2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,4,0,0,4*K.1^-2,4*K.1^2,4*K.1^-1,4*K.1,2+2*K.1^2,2+2*K.1^-2,2*K.1+2*K.1^-2,2+2*K.1,-2-2*K.1-2*K.1^-2,2*K.1+2*K.1^2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,-2-2*K.1-2*K.1^2,2+2*K.1^-1,-4,0,0,-4*K.1^2,-4*K.1^-1,-4*K.1^-2,-4*K.1,-2*K.1-2*K.1^-2,-2*K.1-2*K.1^2,-2-2*K.1^-2,-2-2*K.1,-2*K.1-2*K.1^-1,2+2*K.1+2*K.1^2,2+2*K.1+2*K.1^-2,-2-2*K.1^2,-2-2*K.1^-1,-2*K.1^2-2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1^2,4*K.1^-2,4*K.1^-1,4*K.1,2+2*K.1^-1,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^2,2+2*K.1^-2,2*K.1+2*K.1^-2,2+2*K.1^2,2*K.1^2+2*K.1^-2,-2-2*K.1-2*K.1^-2,2*K.1+2*K.1^-1,2+2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1^-1,-4*K.1,-4*K.1^-2,-4*K.1^2,-2-2*K.1,2+2*K.1+2*K.1^2,-2-2*K.1^-1,-2*K.1-2*K.1^2,-2-2*K.1^-2,2+2*K.1+2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2-2*K.1^2,-2*K.1-2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,4,0,0,4*K.1^2,4*K.1^-2,4*K.1,4*K.1^-1,2+2*K.1^-2,2+2*K.1^2,-2-2*K.1-2*K.1^-2,2+2*K.1^-1,2*K.1+2*K.1^-2,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^2,2+2*K.1,-4,0,0,-4*K.1^-2,-4*K.1,-4*K.1^2,-4*K.1^-1,2+2*K.1+2*K.1^-2,2+2*K.1+2*K.1^2,-2-2*K.1^2,-2-2*K.1^-1,-2*K.1-2*K.1^-1,-2*K.1-2*K.1^2,-2*K.1-2*K.1^-2,-2-2*K.1^-2,-2-2*K.1,-2*K.1^2-2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1^-2,4*K.1^2,4*K.1,4*K.1^-1,2+2*K.1,2*K.1+2*K.1^2,-2-2*K.1-2*K.1^2,2+2*K.1^2,-2-2*K.1-2*K.1^-2,2+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-2,2*K.1+2*K.1^-1,2+2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1,-4*K.1^-1,-4*K.1^2,-4*K.1^-2,-2-2*K.1^-1,-2*K.1-2*K.1^2,-2-2*K.1,2+2*K.1+2*K.1^2,-2-2*K.1^2,-2*K.1-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2-2*K.1^-2,2+2*K.1+2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,4,0,0,4*K.1^-1,4*K.1,4*K.1^2,4*K.1^-2,2+2*K.1,2+2*K.1^-1,-2-2*K.1-2*K.1^2,2+2*K.1^-2,2*K.1+2*K.1^2,2*K.1+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,-2-2*K.1-2*K.1^-2,2+2*K.1^2,-4,0,0,-4*K.1,-4*K.1^2,-4*K.1^-1,-4*K.1^-2,2+2*K.1+2*K.1^2,-2*K.1-2*K.1^-2,-2-2*K.1^-1,-2-2*K.1^-2,-2*K.1^2-2*K.1^-2,2+2*K.1+2*K.1^-2,-2*K.1-2*K.1^2,-2-2*K.1,-2-2*K.1^2,-2*K.1-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1,4*K.1^-1,4*K.1^2,4*K.1^-2,2+2*K.1^2,-2-2*K.1-2*K.1^-2,2*K.1+2*K.1^-2,2+2*K.1^-1,-2-2*K.1-2*K.1^2,2+2*K.1,2*K.1+2*K.1^-1,2*K.1+2*K.1^2,2*K.1^2+2*K.1^-2,2+2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1^2,-4*K.1^-2,-4*K.1^-1,-4*K.1,-2-2*K.1^-2,2+2*K.1+2*K.1^-2,-2-2*K.1^2,-2*K.1-2*K.1^-2,-2-2*K.1^-1,-2*K.1-2*K.1^2,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2-2*K.1,2+2*K.1+2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,4,0,0,4*K.1,4*K.1^-1,4*K.1^-2,4*K.1^2,2+2*K.1^-1,2+2*K.1,2*K.1+2*K.1^2,2+2*K.1^2,-2-2*K.1-2*K.1^2,-2-2*K.1-2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1+2*K.1^-2,2+2*K.1^-2,-4,0,0,-4*K.1^-1,-4*K.1^-2,-4*K.1,-4*K.1^2,-2*K.1-2*K.1^2,2+2*K.1+2*K.1^-2,-2-2*K.1,-2-2*K.1^2,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-2,2+2*K.1+2*K.1^2,-2-2*K.1^-1,-2-2*K.1^-2,-2*K.1-2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1^-1,4*K.1,4*K.1^-2,4*K.1^2,2+2*K.1^-2,2*K.1+2*K.1^-2,-2-2*K.1-2*K.1^-2,2+2*K.1,2*K.1+2*K.1^2,2+2*K.1^-1,2*K.1+2*K.1^-1,-2-2*K.1-2*K.1^2,2*K.1^2+2*K.1^-2,2+2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1^-2,-4*K.1^2,-4*K.1,-4*K.1^-1,-2-2*K.1^2,-2*K.1-2*K.1^-2,-2-2*K.1^-2,2+2*K.1+2*K.1^-2,-2-2*K.1,2+2*K.1+2*K.1^2,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2-2*K.1^-1,-2*K.1-2*K.1^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,4,4,4,4,-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.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,2*K.1^12+2*K.1^-12,2*K.1^12+2*K.1^-12,2,0,0,-4,-4,-4,-4,2*K.1^6+2*K.1^-6,-2*K.1^12-2*K.1^-12,2*K.1^6+2*K.1^-6,-2*K.1^12-2*K.1^-12,2*K.1^6+2*K.1^-6,-2*K.1^12-2*K.1^-12,2*K.1^6+2*K.1^-6,2*K.1^6+2*K.1^-6,-2*K.1^12-2*K.1^-12,-2*K.1^12-2*K.1^-12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,0,0,-2,-2,-2,-2,-1*K.1^12-K.1^-12,-1*K.1^12-K.1^-12,-1*K.1^12-K.1^-12,K.1^6+K.1^-6,K.1^6+K.1^-6,K.1^6+K.1^-6,-1*K.1^12-K.1^-12,K.1^6+K.1^-6,K.1^6+K.1^-6,-1*K.1^12-K.1^-12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,K.1^12+K.1^-12,K.1^12+K.1^-12,K.1^12+K.1^-12,K.1^12+K.1^-12,-1*K.1^6-K.1^-6,-1*K.1^6-K.1^-6,-1*K.1^6-K.1^-6,K.1^12+K.1^-12,-1*K.1^6-K.1^-6,-1*K.1^6-K.1^-6,0,0,0,0,0,0,0,0,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,4,4,4,4,-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.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,2*K.1^12+2*K.1^-12,2*K.1^12+2*K.1^-12,2,0,0,-4,-4,-4,-4,2*K.1^6+2*K.1^-6,-2*K.1^12-2*K.1^-12,2*K.1^6+2*K.1^-6,-2*K.1^12-2*K.1^-12,2*K.1^6+2*K.1^-6,-2*K.1^12-2*K.1^-12,2*K.1^6+2*K.1^-6,2*K.1^6+2*K.1^-6,-2*K.1^12-2*K.1^-12,-2*K.1^12-2*K.1^-12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,0,0,-2,-2,-2,-2,-1*K.1^12-K.1^-12,-1*K.1^12-K.1^-12,-1*K.1^12-K.1^-12,K.1^6+K.1^-6,K.1^6+K.1^-6,K.1^6+K.1^-6,-1*K.1^12-K.1^-12,K.1^6+K.1^-6,K.1^6+K.1^-6,-1*K.1^12-K.1^-12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,K.1^12+K.1^-12,K.1^12+K.1^-12,K.1^12+K.1^-12,K.1^12+K.1^-12,-1*K.1^6-K.1^-6,-1*K.1^6-K.1^-6,-1*K.1^6-K.1^-6,K.1^12+K.1^-12,-1*K.1^6-K.1^-6,-1*K.1^6-K.1^-6,0,0,0,0,0,0,0,0,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,4,4,4,4,2*K.1^12+2*K.1^-12,2*K.1^12+2*K.1^-12,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,-2*K.1^6-2*K.1^-6,-2*K.1^6-2*K.1^-6,2,0,0,-4,-4,-4,-4,-2*K.1^12-2*K.1^-12,2*K.1^6+2*K.1^-6,-2*K.1^12-2*K.1^-12,2*K.1^6+2*K.1^-6,-2*K.1^12-2*K.1^-12,2*K.1^6+2*K.1^-6,-2*K.1^12-2*K.1^-12,-2*K.1^12-2*K.1^-12,2*K.1^6+2*K.1^-6,2*K.1^6+2*K.1^-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,0,0,-2,-2,-2,-2,K.1^6+K.1^-6,K.1^6+K.1^-6,K.1^6+K.1^-6,-1*K.1^12-K.1^-12,-1*K.1^12-K.1^-12,-1*K.1^12-K.1^-12,K.1^6+K.1^-6,-1*K.1^12-K.1^-12,-1*K.1^12-K.1^-12,K.1^6+K.1^-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,-1*K.1^6-K.1^-6,-1*K.1^6-K.1^-6,-1*K.1^6-K.1^-6,-1*K.1^6-K.1^-6,K.1^12+K.1^-12,K.1^12+K.1^-12,K.1^12+K.1^-12,-1*K.1^6-K.1^-6,K.1^12+K.1^-12,K.1^12+K.1^-12,0,0,0,0,0,0,0,0,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,4,4,4,4,2*K.1^12+2*K.1^-12,2*K.1^12+2*K.1^-12,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,-2*K.1^6-2*K.1^-6,-2*K.1^6-2*K.1^-6,2,0,0,-4,-4,-4,-4,-2*K.1^12-2*K.1^-12,2*K.1^6+2*K.1^-6,-2*K.1^12-2*K.1^-12,2*K.1^6+2*K.1^-6,-2*K.1^12-2*K.1^-12,2*K.1^6+2*K.1^-6,-2*K.1^12-2*K.1^-12,-2*K.1^12-2*K.1^-12,2*K.1^6+2*K.1^-6,2*K.1^6+2*K.1^-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,0,0,-2,-2,-2,-2,K.1^6+K.1^-6,K.1^6+K.1^-6,K.1^6+K.1^-6,-1*K.1^12-K.1^-12,-1*K.1^12-K.1^-12,-1*K.1^12-K.1^-12,K.1^6+K.1^-6,-1*K.1^12-K.1^-12,-1*K.1^12-K.1^-12,K.1^6+K.1^-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,-1*K.1^6-K.1^-6,-1*K.1^6-K.1^-6,-1*K.1^6-K.1^-6,-1*K.1^6-K.1^-6,K.1^12+K.1^-12,K.1^12+K.1^-12,K.1^12+K.1^-12,-1*K.1^6-K.1^-6,K.1^12+K.1^-12,K.1^12+K.1^-12,0,0,0,0,0,0,0,0,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,-4,0,4*K.1^-2,4*K.1^2,4*K.1^-1,4*K.1,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^2,2+2*K.1^-1,-2-2*K.1-2*K.1^-2,2+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*K.1^2,2*K.1+2*K.1^-2,-2,0,0,4*K.1^2,4*K.1^-1,4*K.1^-2,4*K.1,2+2*K.1^-1,2+2*K.1^-2,2*K.1+2*K.1^2,-2-2*K.1-2*K.1^-2,2*K.1^2+2*K.1^-2,2+2*K.1^2,2+2*K.1,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^-2,2*K.1+2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1,-1*K.1-K.1^-2,-1-K.1^2,-1-K.1^-2,-1*K.1-K.1^2,-1-K.1^-1,1+K.1+K.1^2,-1*K.1-K.1^-1,-1-K.1,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-4*K.1,-4*K.1^-1,-4*K.1^-2,-4*K.1^2,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,2+2*K.1+2*K.1^2,-2-2*K.1^-2,-2-2*K.1^2,2+2*K.1+2*K.1^-2,-2*K.1-2*K.1^-2,-2*K.1-2*K.1^2,-2-2*K.1,-2-2*K.1^-1,0,0,0,0,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^2,1+K.1+K.1^-2,-1-K.1^2,-1*K.1-K.1^-2,-1-K.1^-2,-1*K.1-K.1^2,-1-K.1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,1+K.1+K.1^2,-1-K.1^-1,0,0,0,0,0,0,0,0,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,K.1+K.1^-2,-1-K.1-K.1^2,1+K.1^2,1+K.1^-1,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-2,1+K.1,-1-K.1-K.1^-2,1+K.1^2,1+K.1^-1,K.1+K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,1+K.1,K.1+K.1^2,-1-K.1-K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,-4,0,4*K.1^2,4*K.1^-2,4*K.1,4*K.1^-1,2*K.1+2*K.1^2,-2-2*K.1-2*K.1^2,2+2*K.1,2*K.1+2*K.1^-2,2+2*K.1^-1,2+2*K.1^2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2+2*K.1^-2,-2-2*K.1-2*K.1^-2,-2,0,0,4*K.1^-2,4*K.1,4*K.1^2,4*K.1^-1,2+2*K.1,2+2*K.1^2,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^-2,2*K.1^2+2*K.1^-2,2+2*K.1^-2,2+2*K.1^-1,2*K.1+2*K.1^2,-2-2*K.1-2*K.1^-2,2*K.1+2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^-1,1+K.1+K.1^-2,-1-K.1^-2,-1-K.1^2,1+K.1+K.1^2,-1-K.1,-1*K.1-K.1^2,-1*K.1-K.1^-1,-1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-4*K.1^-1,-4*K.1,-4*K.1^2,-4*K.1^-2,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1-2*K.1^2,-2-2*K.1^2,-2-2*K.1^-2,-2*K.1-2*K.1^-2,2+2*K.1+2*K.1^-2,2+2*K.1+2*K.1^2,-2-2*K.1^-1,-2-2*K.1,0,0,0,0,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,-1*K.1-K.1^-2,-1-K.1^-2,1+K.1+K.1^-2,-1-K.1^2,1+K.1+K.1^2,-1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1-K.1,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,-1-K.1-K.1^-2,K.1+K.1^2,1+K.1^-2,1+K.1,1+K.1^2,K.1^2+K.1^-2,-1-K.1-K.1^-2,1+K.1^-1,K.1+K.1^-2,1+K.1^-2,1+K.1,-1-K.1-K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^-1,K.1+K.1^-1,1+K.1^-1,-1-K.1-K.1^2,K.1+K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,-4,0,4*K.1^-1,4*K.1,4*K.1^2,4*K.1^-2,-2-2*K.1-2*K.1^-2,2*K.1+2*K.1^-2,2+2*K.1^2,2*K.1+2*K.1^2,2+2*K.1^-2,2+2*K.1^-1,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2+2*K.1,-2-2*K.1-2*K.1^2,-2,0,0,4*K.1,4*K.1^2,4*K.1^-1,4*K.1^-2,2+2*K.1^2,2+2*K.1^-1,2*K.1+2*K.1^-2,2*K.1+2*K.1^2,2*K.1+2*K.1^-1,2+2*K.1,2+2*K.1^-2,-2-2*K.1-2*K.1^-2,-2-2*K.1-2*K.1^2,2*K.1^2+2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,1+K.1+K.1^2,-1-K.1,-1-K.1^-1,-1*K.1-K.1^-2,-1-K.1^2,1+K.1+K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^-2,-1*K.1-K.1^-1,-1*K.1-K.1^2,-4*K.1^-2,-4*K.1^2,-4*K.1^-1,-4*K.1,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,2+2*K.1+2*K.1^-2,-2-2*K.1^-1,-2-2*K.1,-2*K.1-2*K.1^2,2+2*K.1+2*K.1^2,-2*K.1-2*K.1^-2,-2-2*K.1^-2,-2-2*K.1^2,0,0,0,0,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1,-1*K.1-K.1^2,-1-K.1,1+K.1+K.1^2,-1-K.1^-1,-1*K.1-K.1^-2,-1-K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1-K.1^2,0,0,0,0,0,0,0,0,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,-1-K.1-K.1^2,-1-K.1-K.1^-2,1+K.1,1+K.1^2,1+K.1^-1,K.1+K.1^-1,-1-K.1-K.1^2,1+K.1^-2,K.1+K.1^2,1+K.1,1+K.1^2,K.1+K.1^-2,K.1+K.1^2,K.1+K.1^-1,1+K.1^-1,K.1^2+K.1^-2,K.1^2+K.1^-2,1+K.1^-2,K.1+K.1^-2,-1-K.1-K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,-4,0,4*K.1,4*K.1^-1,4*K.1^-2,4*K.1^2,2*K.1+2*K.1^-2,-2-2*K.1-2*K.1^-2,2+2*K.1^-2,-2-2*K.1-2*K.1^2,2+2*K.1^2,2+2*K.1,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2+2*K.1^-1,2*K.1+2*K.1^2,-2,0,0,4*K.1^-1,4*K.1^-2,4*K.1,4*K.1^2,2+2*K.1^-2,2+2*K.1,-2-2*K.1-2*K.1^-2,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^-1,2+2*K.1^-1,2+2*K.1^2,2*K.1+2*K.1^-2,2*K.1+2*K.1^2,2*K.1^2+2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^2,-1*K.1-K.1^2,-1-K.1^-1,-1-K.1,1+K.1+K.1^-2,-1-K.1^-2,-1*K.1-K.1^-2,-1*K.1^2-K.1^-2,-1-K.1^2,-1*K.1-K.1^-1,1+K.1+K.1^2,-4*K.1^2,-4*K.1^-2,-4*K.1,-4*K.1^-1,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-2,-2-2*K.1,-2-2*K.1^-1,2+2*K.1+2*K.1^2,-2*K.1-2*K.1^2,2+2*K.1+2*K.1^-2,-2-2*K.1^2,-2-2*K.1^-2,0,0,0,0,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^-1,1+K.1+K.1^2,-1-K.1^-1,-1*K.1-K.1^2,-1-K.1,1+K.1+K.1^-2,-1-K.1^2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1-K.1^-2,0,0,0,0,0,0,0,0,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,K.1+K.1^2,K.1+K.1^-2,1+K.1^-1,1+K.1^-2,1+K.1,K.1+K.1^-1,K.1+K.1^2,1+K.1^2,-1-K.1-K.1^2,1+K.1^-1,1+K.1^-2,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1,K.1^2+K.1^-2,K.1^2+K.1^-2,1+K.1^2,-1-K.1-K.1^-2,K.1+K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,-4,0,4*K.1^-2,4*K.1^2,4*K.1^-1,4*K.1,2+2*K.1^2,2+2*K.1^-2,2*K.1+2*K.1^-2,2+2*K.1,-2-2*K.1-2*K.1^-2,2*K.1+2*K.1^2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,-2-2*K.1-2*K.1^2,2+2*K.1^-1,-2,0,0,4*K.1^2,4*K.1^-1,4*K.1^-2,4*K.1,2*K.1+2*K.1^-2,2*K.1+2*K.1^2,2+2*K.1^-2,2+2*K.1,2*K.1+2*K.1^-1,-2-2*K.1-2*K.1^2,-2-2*K.1-2*K.1^-2,2+2*K.1^2,2+2*K.1^-1,2*K.1^2+2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1,-1-K.1^-1,1+K.1+K.1^2,-1*K.1-K.1^2,-1-K.1^-2,-1*K.1-K.1^-2,-1-K.1^2,-1*K.1^2-K.1^-2,1+K.1+K.1^-2,-1*K.1-K.1^-1,-1-K.1,-4*K.1,-4*K.1^-1,-4*K.1^-2,-4*K.1^2,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2-2*K.1^2,-2*K.1-2*K.1^2,2+2*K.1+2*K.1^2,-2-2*K.1,-2-2*K.1^-1,-2-2*K.1^-2,2+2*K.1+2*K.1^-2,-2*K.1-2*K.1^-2,0,0,0,0,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^2,-1-K.1,1+K.1+K.1^2,-1-K.1^-1,-1*K.1-K.1^2,-1-K.1^-2,1+K.1+K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1-K.1^2,-1*K.1-K.1^-2,0,0,0,0,0,0,0,0,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,1+K.1^-1,1+K.1^2,-1-K.1-K.1^2,K.1+K.1^-2,K.1+K.1^2,K.1+K.1^-1,1+K.1^-1,-1-K.1-K.1^-2,1+K.1,-1-K.1-K.1^2,K.1+K.1^-2,1+K.1^-2,1+K.1,K.1+K.1^-1,K.1+K.1^2,K.1^2+K.1^-2,K.1^2+K.1^-2,-1-K.1-K.1^-2,1+K.1^-2,1+K.1^2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,-4,0,4*K.1^2,4*K.1^-2,4*K.1,4*K.1^-1,2+2*K.1^-2,2+2*K.1^2,-2-2*K.1-2*K.1^-2,2+2*K.1^-1,2*K.1+2*K.1^-2,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^-1,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^2,2+2*K.1,-2,0,0,4*K.1^-2,4*K.1,4*K.1^2,4*K.1^-1,-2-2*K.1-2*K.1^-2,-2-2*K.1-2*K.1^2,2+2*K.1^2,2+2*K.1^-1,2*K.1+2*K.1^-1,2*K.1+2*K.1^2,2*K.1+2*K.1^-2,2+2*K.1^-2,2+2*K.1,2*K.1^2+2*K.1^-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^-1,-1-K.1,-1*K.1-K.1^2,1+K.1+K.1^2,-1-K.1^2,1+K.1+K.1^-2,-1-K.1^-2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-2,-1*K.1-K.1^-1,-1-K.1^-1,-4*K.1^-1,-4*K.1,-4*K.1^2,-4*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1^2-2*K.1^-2,-2-2*K.1^-2,2+2*K.1+2*K.1^2,-2*K.1-2*K.1^2,-2-2*K.1^-1,-2-2*K.1,-2-2*K.1^2,-2*K.1-2*K.1^-2,2+2*K.1+2*K.1^-2,0,0,0,0,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,-1-K.1^-1,-1*K.1-K.1^2,-1-K.1,1+K.1+K.1^2,-1-K.1^2,-1*K.1-K.1^-2,-1*K.1-K.1^-1,-1*K.1^2-K.1^-2,-1-K.1^-2,1+K.1+K.1^-2,0,0,0,0,0,0,0,0,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,1+K.1,1+K.1^-2,K.1+K.1^2,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1+K.1^-1,1+K.1,K.1+K.1^-2,1+K.1^-1,K.1+K.1^2,-1-K.1-K.1^-2,1+K.1^2,1+K.1^-1,K.1+K.1^-1,-1-K.1-K.1^2,K.1^2+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-2,1+K.1^2,1+K.1^-2,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,-4,0,4*K.1^-1,4*K.1,4*K.1^2,4*K.1^-2,2+2*K.1,2+2*K.1^-1,-2-2*K.1-2*K.1^2,2+2*K.1^-2,2*K.1+2*K.1^2,2*K.1+2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,-2-2*K.1-2*K.1^-2,2+2*K.1^2,-2,0,0,4*K.1,4*K.1^2,4*K.1^-1,4*K.1^-2,-2-2*K.1-2*K.1^2,2*K.1+2*K.1^-2,2+2*K.1^-1,2+2*K.1^-2,2*K.1^2+2*K.1^-2,-2-2*K.1-2*K.1^-2,2*K.1+2*K.1^2,2+2*K.1,2+2*K.1^2,2*K.1+2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-2*K.1,-2*K.1^-1,-2*K.1^2,-2*K.1^-2,-1-K.1^2,1+K.1+K.1^-2,-1*K.1-K.1^-2,-1-K.1^-1,1+K.1+K.1^2,-1-K.1,-1*K.1-K.1^-1,-1*K.1-K.1^2,-1*K.1^2-K.1^-2,-1-K.1^-2,-4*K.1^-2,-4*K.1^2,-4*K.1^-1,-4*K.1,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2-2*K.1,-2*K.1-2*K.1^-2,2+2*K.1+2*K.1^-2,-2-2*K.1^-2,-2-2*K.1^2,-2-2*K.1^-1,-2*K.1-2*K.1^2,2+2*K.1+2*K.1^2,0,0,0,0,-2*K.1^2,-2*K.1^-2,-2*K.1^-1,-2*K.1,-1-K.1^-2,1+K.1+K.1^-2,-1-K.1^2,-1*K.1-K.1^-2,-1-K.1^-1,-1*K.1-K.1^2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1-K.1,1+K.1+K.1^2,0,0,0,0,0,0,0,0,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,1+K.1^2,1+K.1,-1-K.1-K.1^-2,-1-K.1-K.1^2,K.1+K.1^-2,K.1^2+K.1^-2,1+K.1^2,K.1+K.1^2,1+K.1^-2,-1-K.1-K.1^-2,-1-K.1-K.1^2,1+K.1^-1,1+K.1^-2,K.1^2+K.1^-2,K.1+K.1^-2,K.1+K.1^-1,K.1+K.1^-1,K.1+K.1^2,1+K.1^-1,1+K.1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(5: Sparse := true); S := [ K |4,4,0,0,0,0,0,0,-2,-4,0,4*K.1,4*K.1^-1,4*K.1^-2,4*K.1^2,2+2*K.1^-1,2+2*K.1,2*K.1+2*K.1^2,2+2*K.1^2,-2-2*K.1-2*K.1^2,-2-2*K.1-2*K.1^-2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1+2*K.1^-2,2+2*K.1^-2,-2,0,0,4*K.1^-1,4*K.1^-2,4*K.1,4*K.1^2,2*K.1+2*K.1^2,-2-2*K.1-2*K.1^-2,2+2*K.1,2+2*K.1^2,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-2,-2-2*K.1-2*K.1^2,2+2*K.1^-1,2+2*K.1^-2,2*K.1+2*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-2*K.1^-1,-2*K.1,-2*K.1^-2,-2*K.1^2,-1-K.1^-2,-1*K.1-K.1^-2,1+K.1+K.1^-2,-1-K.1,-1*K.1-K.1^2,-1-K.1^-1,-1*K.1-K.1^-1,1+K.1+K.1^2,-1*K.1^2-K.1^-2,-1-K.1^2,-4*K.1^2,-4*K.1^-2,-4*K.1,-4*K.1^-1,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2-2*K.1^-1,2+2*K.1+2*K.1^-2,-2*K.1-2*K.1^-2,-2-2*K.1^2,-2-2*K.1^-2,-2-2*K.1,2+2*K.1+2*K.1^2,-2*K.1-2*K.1^2,0,0,0,0,-2*K.1^-2,-2*K.1^2,-2*K.1,-2*K.1^-1,-1-K.1^2,-1*K.1-K.1^-2,-1-K.1^-2,1+K.1+K.1^-2,-1-K.1,1+K.1+K.1^2,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1-K.1^-1,-1*K.1-K.1^2,0,0,0,0,0,0,0,0,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,2*K.1^2,2*K.1^-1,2*K.1^-2,2*K.1,1+K.1^-2,1+K.1^-1,K.1+K.1^-2,K.1+K.1^2,-1-K.1-K.1^-2,K.1^2+K.1^-2,1+K.1^-2,-1-K.1-K.1^2,1+K.1^2,K.1+K.1^-2,K.1+K.1^2,1+K.1,1+K.1^2,K.1^2+K.1^-2,-1-K.1-K.1^-2,K.1+K.1^-1,K.1+K.1^-1,-1-K.1-K.1^2,1+K.1,1+K.1^-1,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,-4*K.1^6,4*K.1^24,-4*K.1^18,4*K.1^12,-2+2*K.1^4-2*K.1^12-2*K.1^14,-2*K.1^4+2*K.1^12+2*K.1^14,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,-2+2*K.1^6-2*K.1^12,2+2*K.1^12,2-2*K.1^6,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,2-2*K.1^4+2*K.1^14,-2*K.1^6+2*K.1^12,2,0,0,-4*K.1^24,4*K.1^18,4*K.1^6,-4*K.1^12,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,-2+2*K.1^6,2*K.1^4-2*K.1^12-2*K.1^14,2-2*K.1^6+2*K.1^12,2*K.1^6+2*K.1^-6,-2+2*K.1^4-2*K.1^14,-2-2*K.1^12,2-2*K.1^4+2*K.1^12+2*K.1^14,2*K.1^6-2*K.1^12,-2*K.1^12-2*K.1^-12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,0,0,-2*K.1^24,2*K.1^6,2*K.1^18,-2*K.1^12,K.1^6-K.1^12,-1+K.1^4-K.1^14,-1+K.1^6,K.1^4-K.1^12-K.1^14,-1*K.1^4-K.1^6+K.1^12+K.1^14,1-K.1^4+K.1^12+K.1^14,-1*K.1^12-K.1^-12,-1-K.1^12,K.1^6+K.1^-6,1-K.1^6+K.1^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^18,2*K.1^12,-2*K.1^6,2*K.1^24,-1+K.1^6-K.1^12,1-K.1^4+K.1^14,-1*K.1^6+K.1^12,1-K.1^6,-1*K.1^4+K.1^12+K.1^14,1+K.1^12,-1*K.1^6-K.1^-6,K.1^12+K.1^-12,-1+K.1^4-K.1^12-K.1^14,K.1^4+K.1^6-K.1^12-K.1^14,0,0,0,0,0,0,0,0,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,-2*K.1^3+4*K.1^13,-2*K.1-2*K.1^11,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,2*K.1^3-4*K.1^13,2*K.1+2*K.1^11,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,-1*K.1+K.1^3-K.1^11-2*K.1^13,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,-1*K.1+2*K.1^5-K.1^11-K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,K.1^3+2*K.1^5-2*K.1^13-K.1^15,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^5+K.1^11+K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,K.1-K.1^3+K.1^11+2*K.1^13,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,4*K.1^24,-4*K.1^6,4*K.1^12,-4*K.1^18,-2*K.1^4+2*K.1^12+2*K.1^14,-2+2*K.1^4-2*K.1^12-2*K.1^14,2+2*K.1^12,-2*K.1^6+2*K.1^12,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,2-2*K.1^4+2*K.1^14,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,2-2*K.1^6,-2+2*K.1^6-2*K.1^12,2,0,0,4*K.1^6,-4*K.1^12,-4*K.1^24,4*K.1^18,-2-2*K.1^12,-2+2*K.1^4-2*K.1^14,2-2*K.1^4+2*K.1^12+2*K.1^14,2*K.1^6-2*K.1^12,2*K.1^6+2*K.1^-6,-2+2*K.1^6,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,2*K.1^4-2*K.1^12-2*K.1^14,2-2*K.1^6+2*K.1^12,-2*K.1^12-2*K.1^-12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,0,0,2*K.1^6,-2*K.1^24,-2*K.1^12,2*K.1^18,1-K.1^6+K.1^12,-1+K.1^6,-1+K.1^4-K.1^14,1-K.1^4+K.1^12+K.1^14,-1-K.1^12,K.1^4-K.1^12-K.1^14,-1*K.1^12-K.1^-12,-1*K.1^4-K.1^6+K.1^12+K.1^14,K.1^6+K.1^-6,K.1^6-K.1^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^12,-2*K.1^18,2*K.1^24,-2*K.1^6,-1*K.1^6+K.1^12,1-K.1^6,-1+K.1^6-K.1^12,1-K.1^4+K.1^14,-1+K.1^4-K.1^12-K.1^14,K.1^4+K.1^6-K.1^12-K.1^14,-1*K.1^6-K.1^-6,K.1^12+K.1^-12,-1*K.1^4+K.1^12+K.1^14,1+K.1^12,0,0,0,0,0,0,0,0,2*K.1^3-4*K.1^13,2*K.1+2*K.1^11,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,-2*K.1^3+4*K.1^13,-2*K.1-2*K.1^11,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,K.1-2*K.1^5+K.1^11+K.1^15,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,-1*K.1+2*K.1^5-K.1^11-K.1^15,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,-1*K.1+K.1^3-K.1^11-2*K.1^13,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1^3+2*K.1^5-2*K.1^13-K.1^15,K.1-K.1^3+K.1^11+2*K.1^13,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,-4*K.1^6,4*K.1^24,-4*K.1^18,4*K.1^12,-2+2*K.1^4-2*K.1^12-2*K.1^14,-2*K.1^4+2*K.1^12+2*K.1^14,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,-2+2*K.1^6-2*K.1^12,2+2*K.1^12,2-2*K.1^6,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,2-2*K.1^4+2*K.1^14,-2*K.1^6+2*K.1^12,2,0,0,-4*K.1^24,4*K.1^18,4*K.1^6,-4*K.1^12,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,-2+2*K.1^6,2*K.1^4-2*K.1^12-2*K.1^14,2-2*K.1^6+2*K.1^12,2*K.1^6+2*K.1^-6,-2+2*K.1^4-2*K.1^14,-2-2*K.1^12,2-2*K.1^4+2*K.1^12+2*K.1^14,2*K.1^6-2*K.1^12,-2*K.1^12-2*K.1^-12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,0,0,-2*K.1^24,2*K.1^6,2*K.1^18,-2*K.1^12,K.1^6-K.1^12,-1+K.1^4-K.1^14,-1+K.1^6,K.1^4-K.1^12-K.1^14,-1*K.1^4-K.1^6+K.1^12+K.1^14,1-K.1^4+K.1^12+K.1^14,-1*K.1^12-K.1^-12,-1-K.1^12,K.1^6+K.1^-6,1-K.1^6+K.1^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^18,2*K.1^12,-2*K.1^6,2*K.1^24,-1+K.1^6-K.1^12,1-K.1^4+K.1^14,-1*K.1^6+K.1^12,1-K.1^6,-1*K.1^4+K.1^12+K.1^14,1+K.1^12,-1*K.1^6-K.1^-6,K.1^12+K.1^-12,-1+K.1^4-K.1^12-K.1^14,K.1^4+K.1^6-K.1^12-K.1^14,0,0,0,0,0,0,0,0,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,2*K.1^3-4*K.1^13,2*K.1+2*K.1^11,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,-2*K.1^3+4*K.1^13,-2*K.1-2*K.1^11,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,K.1-K.1^3+K.1^11+2*K.1^13,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,K.1^3+2*K.1^5-2*K.1^13-K.1^15,K.1-2*K.1^5+K.1^11+K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^5-K.1^11-K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,-1*K.1+K.1^3-K.1^11-2*K.1^13,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,4*K.1^24,-4*K.1^6,4*K.1^12,-4*K.1^18,-2*K.1^4+2*K.1^12+2*K.1^14,-2+2*K.1^4-2*K.1^12-2*K.1^14,2+2*K.1^12,-2*K.1^6+2*K.1^12,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,2-2*K.1^4+2*K.1^14,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,2-2*K.1^6,-2+2*K.1^6-2*K.1^12,2,0,0,4*K.1^6,-4*K.1^12,-4*K.1^24,4*K.1^18,-2-2*K.1^12,-2+2*K.1^4-2*K.1^14,2-2*K.1^4+2*K.1^12+2*K.1^14,2*K.1^6-2*K.1^12,2*K.1^6+2*K.1^-6,-2+2*K.1^6,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,2*K.1^4-2*K.1^12-2*K.1^14,2-2*K.1^6+2*K.1^12,-2*K.1^12-2*K.1^-12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,0,0,2*K.1^6,-2*K.1^24,-2*K.1^12,2*K.1^18,1-K.1^6+K.1^12,-1+K.1^6,-1+K.1^4-K.1^14,1-K.1^4+K.1^12+K.1^14,-1-K.1^12,K.1^4-K.1^12-K.1^14,-1*K.1^12-K.1^-12,-1*K.1^4-K.1^6+K.1^12+K.1^14,K.1^6+K.1^-6,K.1^6-K.1^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^12,-2*K.1^18,2*K.1^24,-2*K.1^6,-1*K.1^6+K.1^12,1-K.1^6,-1+K.1^6-K.1^12,1-K.1^4+K.1^14,-1+K.1^4-K.1^12-K.1^14,K.1^4+K.1^6-K.1^12-K.1^14,-1*K.1^6-K.1^-6,K.1^12+K.1^-12,-1*K.1^4+K.1^12+K.1^14,1+K.1^12,0,0,0,0,0,0,0,0,-2*K.1^3+4*K.1^13,-2*K.1-2*K.1^11,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,2*K.1^3-4*K.1^13,2*K.1+2*K.1^11,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,-1*K.1+2*K.1^5-K.1^11-K.1^15,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,K.1^3+2*K.1^5-2*K.1^13-K.1^15,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,K.1-2*K.1^5+K.1^11+K.1^15,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,K.1-K.1^3+K.1^11+2*K.1^13,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,-1*K.1+K.1^3-K.1^11-2*K.1^13,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,-4*K.1^18,4*K.1^12,4*K.1^24,-4*K.1^6,-2+2*K.1^6-2*K.1^12,-2*K.1^6+2*K.1^12,2-2*K.1^4+2*K.1^14,-2*K.1^4+2*K.1^12+2*K.1^14,2-2*K.1^6,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,2+2*K.1^12,-2+2*K.1^4-2*K.1^12-2*K.1^14,2,0,0,-4*K.1^12,-4*K.1^24,4*K.1^18,4*K.1^6,-2+2*K.1^4-2*K.1^14,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,2*K.1^6-2*K.1^12,2*K.1^4-2*K.1^12-2*K.1^14,-2*K.1^12-2*K.1^-12,-2-2*K.1^12,-2+2*K.1^6,2-2*K.1^6+2*K.1^12,2-2*K.1^4+2*K.1^12+2*K.1^14,2*K.1^6+2*K.1^-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,0,0,-2*K.1^12,2*K.1^18,-2*K.1^24,2*K.1^6,1-K.1^4+K.1^12+K.1^14,-1-K.1^12,-1*K.1^4-K.1^6+K.1^12+K.1^14,K.1^6-K.1^12,-1+K.1^4-K.1^14,1-K.1^6+K.1^12,K.1^6+K.1^-6,-1+K.1^6,-1*K.1^12-K.1^-12,K.1^4-K.1^12-K.1^14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^24,-2*K.1^6,-2*K.1^18,2*K.1^12,-1*K.1^4+K.1^12+K.1^14,1+K.1^12,-1+K.1^4-K.1^12-K.1^14,K.1^4+K.1^6-K.1^12-K.1^14,-1*K.1^6+K.1^12,1-K.1^6,K.1^12+K.1^-12,-1*K.1^6-K.1^-6,-1+K.1^6-K.1^12,1-K.1^4+K.1^14,0,0,0,0,0,0,0,0,-2*K.1-2*K.1^11,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,2*K.1^3-4*K.1^13,2*K.1+2*K.1^11,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,-2*K.1^3+4*K.1^13,K.1-K.1^3+K.1^11+2*K.1^13,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,K.1^3+2*K.1^5-2*K.1^13-K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1+K.1^3-K.1^11-2*K.1^13,K.1-2*K.1^5+K.1^11+K.1^15,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^5-K.1^11-K.1^15,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,4*K.1^12,-4*K.1^18,-4*K.1^6,4*K.1^24,-2*K.1^6+2*K.1^12,-2+2*K.1^6-2*K.1^12,2-2*K.1^6,-2+2*K.1^4-2*K.1^12-2*K.1^14,2-2*K.1^4+2*K.1^14,2+2*K.1^12,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,-2*K.1^4+2*K.1^12+2*K.1^14,2,0,0,4*K.1^18,4*K.1^6,-4*K.1^12,-4*K.1^24,-2+2*K.1^6,-2-2*K.1^12,2-2*K.1^6+2*K.1^12,2-2*K.1^4+2*K.1^12+2*K.1^14,-2*K.1^12-2*K.1^-12,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,-2+2*K.1^4-2*K.1^14,2*K.1^6-2*K.1^12,2*K.1^4-2*K.1^12-2*K.1^14,2*K.1^6+2*K.1^-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,0,0,2*K.1^18,-2*K.1^12,2*K.1^6,-2*K.1^24,K.1^4-K.1^12-K.1^14,-1*K.1^4-K.1^6+K.1^12+K.1^14,-1-K.1^12,1-K.1^6+K.1^12,-1+K.1^6,K.1^6-K.1^12,K.1^6+K.1^-6,-1+K.1^4-K.1^14,-1*K.1^12-K.1^-12,1-K.1^4+K.1^12+K.1^14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^6,2*K.1^24,2*K.1^12,-2*K.1^18,-1+K.1^4-K.1^12-K.1^14,K.1^4+K.1^6-K.1^12-K.1^14,-1*K.1^4+K.1^12+K.1^14,1+K.1^12,-1+K.1^6-K.1^12,1-K.1^4+K.1^14,K.1^12+K.1^-12,-1*K.1^6-K.1^-6,-1*K.1^6+K.1^12,1-K.1^6,0,0,0,0,0,0,0,0,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,-2*K.1^3+4*K.1^13,2*K.1+2*K.1^11,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,2*K.1^3-4*K.1^13,-2*K.1-2*K.1^11,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,K.1-2*K.1^5+K.1^11+K.1^15,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,-1*K.1+K.1^3-K.1^11-2*K.1^13,K.1^3+2*K.1^5-2*K.1^13-K.1^15,-1*K.1+2*K.1^5-K.1^11-K.1^15,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,K.1-K.1^3+K.1^11+2*K.1^13,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,-4*K.1^18,4*K.1^12,4*K.1^24,-4*K.1^6,-2+2*K.1^6-2*K.1^12,-2*K.1^6+2*K.1^12,2-2*K.1^4+2*K.1^14,-2*K.1^4+2*K.1^12+2*K.1^14,2-2*K.1^6,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,2+2*K.1^12,-2+2*K.1^4-2*K.1^12-2*K.1^14,2,0,0,-4*K.1^12,-4*K.1^24,4*K.1^18,4*K.1^6,-2+2*K.1^4-2*K.1^14,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,2*K.1^6-2*K.1^12,2*K.1^4-2*K.1^12-2*K.1^14,-2*K.1^12-2*K.1^-12,-2-2*K.1^12,-2+2*K.1^6,2-2*K.1^6+2*K.1^12,2-2*K.1^4+2*K.1^12+2*K.1^14,2*K.1^6+2*K.1^-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,0,0,-2*K.1^12,2*K.1^18,-2*K.1^24,2*K.1^6,1-K.1^4+K.1^12+K.1^14,-1-K.1^12,-1*K.1^4-K.1^6+K.1^12+K.1^14,K.1^6-K.1^12,-1+K.1^4-K.1^14,1-K.1^6+K.1^12,K.1^6+K.1^-6,-1+K.1^6,-1*K.1^12-K.1^-12,K.1^4-K.1^12-K.1^14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^24,-2*K.1^6,-2*K.1^18,2*K.1^12,-1*K.1^4+K.1^12+K.1^14,1+K.1^12,-1+K.1^4-K.1^12-K.1^14,K.1^4+K.1^6-K.1^12-K.1^14,-1*K.1^6+K.1^12,1-K.1^6,K.1^12+K.1^-12,-1*K.1^6-K.1^-6,-1+K.1^6-K.1^12,1-K.1^4+K.1^14,0,0,0,0,0,0,0,0,2*K.1+2*K.1^11,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,-2*K.1^3+4*K.1^13,-2*K.1-2*K.1^11,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,2*K.1^3-4*K.1^13,-1*K.1+K.1^3-K.1^11-2*K.1^13,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1-K.1^3+K.1^11+2*K.1^13,-1*K.1+2*K.1^5-K.1^11-K.1^15,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1^3+2*K.1^5-2*K.1^13-K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^5+K.1^11+K.1^15,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,4*K.1^12,-4*K.1^18,-4*K.1^6,4*K.1^24,-2*K.1^6+2*K.1^12,-2+2*K.1^6-2*K.1^12,2-2*K.1^6,-2+2*K.1^4-2*K.1^12-2*K.1^14,2-2*K.1^4+2*K.1^14,2+2*K.1^12,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,-2*K.1^4+2*K.1^12+2*K.1^14,2,0,0,4*K.1^18,4*K.1^6,-4*K.1^12,-4*K.1^24,-2+2*K.1^6,-2-2*K.1^12,2-2*K.1^6+2*K.1^12,2-2*K.1^4+2*K.1^12+2*K.1^14,-2*K.1^12-2*K.1^-12,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,-2+2*K.1^4-2*K.1^14,2*K.1^6-2*K.1^12,2*K.1^4-2*K.1^12-2*K.1^14,2*K.1^6+2*K.1^-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,0,0,2*K.1^18,-2*K.1^12,2*K.1^6,-2*K.1^24,K.1^4-K.1^12-K.1^14,-1*K.1^4-K.1^6+K.1^12+K.1^14,-1-K.1^12,1-K.1^6+K.1^12,-1+K.1^6,K.1^6-K.1^12,K.1^6+K.1^-6,-1+K.1^4-K.1^14,-1*K.1^12-K.1^-12,1-K.1^4+K.1^12+K.1^14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^6,2*K.1^24,2*K.1^12,-2*K.1^18,-1+K.1^4-K.1^12-K.1^14,K.1^4+K.1^6-K.1^12-K.1^14,-1*K.1^4+K.1^12+K.1^14,1+K.1^12,-1+K.1^6-K.1^12,1-K.1^4+K.1^14,K.1^12+K.1^-12,-1*K.1^6-K.1^-6,-1*K.1^6+K.1^12,1-K.1^6,0,0,0,0,0,0,0,0,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,2*K.1^3-4*K.1^13,-2*K.1-2*K.1^11,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,-2*K.1^3+4*K.1^13,2*K.1+2*K.1^11,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,K.1^3+2*K.1^5-2*K.1^13-K.1^15,-1*K.1+2*K.1^5-K.1^11-K.1^15,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,K.1-K.1^3+K.1^11+2*K.1^13,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,K.1-2*K.1^5+K.1^11+K.1^15,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,-1*K.1+K.1^3-K.1^11-2*K.1^13,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,-4*K.1^6,4*K.1^24,-4*K.1^18,4*K.1^12,2-2*K.1^4+2*K.1^14,2-2*K.1^6,-2*K.1^6+2*K.1^12,2+2*K.1^12,-2+2*K.1^6-2*K.1^12,-2*K.1^4+2*K.1^12+2*K.1^14,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,-2+2*K.1^4-2*K.1^12-2*K.1^14,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,2,0,0,-4*K.1^24,4*K.1^18,4*K.1^6,-4*K.1^12,2*K.1^6-2*K.1^12,2*K.1^4-2*K.1^12-2*K.1^14,-2+2*K.1^6,-2-2*K.1^12,-2*K.1^12-2*K.1^-12,2-2*K.1^4+2*K.1^12+2*K.1^14,2-2*K.1^6+2*K.1^12,-2+2*K.1^4-2*K.1^14,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,2*K.1^6+2*K.1^-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,0,0,-2*K.1^24,2*K.1^6,2*K.1^18,-2*K.1^12,-1*K.1^4-K.1^6+K.1^12+K.1^14,1-K.1^4+K.1^12+K.1^14,K.1^4-K.1^12-K.1^14,-1+K.1^6,K.1^6-K.1^12,-1+K.1^4-K.1^14,K.1^6+K.1^-6,1-K.1^6+K.1^12,-1*K.1^12-K.1^-12,-1-K.1^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^18,2*K.1^12,-2*K.1^6,2*K.1^24,1+K.1^12,-1+K.1^4-K.1^12-K.1^14,K.1^4+K.1^6-K.1^12-K.1^14,-1*K.1^4+K.1^12+K.1^14,1-K.1^6,-1+K.1^6-K.1^12,K.1^12+K.1^-12,-1*K.1^6-K.1^-6,1-K.1^4+K.1^14,-1*K.1^6+K.1^12,0,0,0,0,0,0,0,0,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,-2*K.1^3+4*K.1^13,-2*K.1-2*K.1^11,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,2*K.1^3-4*K.1^13,2*K.1+2*K.1^11,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,K.1-K.1^3+K.1^11+2*K.1^13,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1^3+2*K.1^5-2*K.1^13-K.1^15,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,-1*K.1+K.1^3-K.1^11-2*K.1^13,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,-1*K.1+2*K.1^5-K.1^11-K.1^15,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,K.1-2*K.1^5+K.1^11+K.1^15,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,4*K.1^24,-4*K.1^6,4*K.1^12,-4*K.1^18,2-2*K.1^6,2-2*K.1^4+2*K.1^14,-2+2*K.1^6-2*K.1^12,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,-2*K.1^6+2*K.1^12,-2+2*K.1^4-2*K.1^12-2*K.1^14,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,-2*K.1^4+2*K.1^12+2*K.1^14,2+2*K.1^12,2,0,0,4*K.1^6,-4*K.1^12,-4*K.1^24,4*K.1^18,2-2*K.1^6+2*K.1^12,2-2*K.1^4+2*K.1^12+2*K.1^14,-2+2*K.1^4-2*K.1^14,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,-2*K.1^12-2*K.1^-12,2*K.1^4-2*K.1^12-2*K.1^14,2*K.1^6-2*K.1^12,-2+2*K.1^6,-2-2*K.1^12,2*K.1^6+2*K.1^-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,0,0,2*K.1^6,-2*K.1^24,-2*K.1^12,2*K.1^18,-1-K.1^12,K.1^4-K.1^12-K.1^14,1-K.1^4+K.1^12+K.1^14,-1+K.1^4-K.1^14,1-K.1^6+K.1^12,-1+K.1^6,K.1^6+K.1^-6,K.1^6-K.1^12,-1*K.1^12-K.1^-12,-1*K.1^4-K.1^6+K.1^12+K.1^14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^12,-2*K.1^18,2*K.1^24,-2*K.1^6,K.1^4+K.1^6-K.1^12-K.1^14,-1*K.1^4+K.1^12+K.1^14,1+K.1^12,-1+K.1^4-K.1^12-K.1^14,1-K.1^4+K.1^14,-1*K.1^6+K.1^12,K.1^12+K.1^-12,-1*K.1^6-K.1^-6,1-K.1^6,-1+K.1^6-K.1^12,0,0,0,0,0,0,0,0,2*K.1^3-4*K.1^13,2*K.1+2*K.1^11,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,-2*K.1^3+4*K.1^13,-2*K.1-2*K.1^11,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,-1*K.1+2*K.1^5-K.1^11-K.1^15,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,-1*K.1+K.1^3-K.1^11-2*K.1^13,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,K.1^3+2*K.1^5-2*K.1^13-K.1^15,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1-K.1^3+K.1^11+2*K.1^13,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,K.1-2*K.1^5+K.1^11+K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,-4*K.1^6,4*K.1^24,-4*K.1^18,4*K.1^12,2-2*K.1^4+2*K.1^14,2-2*K.1^6,-2*K.1^6+2*K.1^12,2+2*K.1^12,-2+2*K.1^6-2*K.1^12,-2*K.1^4+2*K.1^12+2*K.1^14,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,-2+2*K.1^4-2*K.1^12-2*K.1^14,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,2,0,0,-4*K.1^24,4*K.1^18,4*K.1^6,-4*K.1^12,2*K.1^6-2*K.1^12,2*K.1^4-2*K.1^12-2*K.1^14,-2+2*K.1^6,-2-2*K.1^12,-2*K.1^12-2*K.1^-12,2-2*K.1^4+2*K.1^12+2*K.1^14,2-2*K.1^6+2*K.1^12,-2+2*K.1^4-2*K.1^14,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,2*K.1^6+2*K.1^-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,0,0,-2*K.1^24,2*K.1^6,2*K.1^18,-2*K.1^12,-1*K.1^4-K.1^6+K.1^12+K.1^14,1-K.1^4+K.1^12+K.1^14,K.1^4-K.1^12-K.1^14,-1+K.1^6,K.1^6-K.1^12,-1+K.1^4-K.1^14,K.1^6+K.1^-6,1-K.1^6+K.1^12,-1*K.1^12-K.1^-12,-1-K.1^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^18,2*K.1^12,-2*K.1^6,2*K.1^24,1+K.1^12,-1+K.1^4-K.1^12-K.1^14,K.1^4+K.1^6-K.1^12-K.1^14,-1*K.1^4+K.1^12+K.1^14,1-K.1^6,-1+K.1^6-K.1^12,K.1^12+K.1^-12,-1*K.1^6-K.1^-6,1-K.1^4+K.1^14,-1*K.1^6+K.1^12,0,0,0,0,0,0,0,0,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,2*K.1^3-4*K.1^13,2*K.1+2*K.1^11,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,-2*K.1^3+4*K.1^13,-2*K.1-2*K.1^11,K.1^3+2*K.1^5-2*K.1^13-K.1^15,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,-1*K.1+K.1^3-K.1^11-2*K.1^13,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,K.1-K.1^3+K.1^11+2*K.1^13,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,K.1-2*K.1^5+K.1^11+K.1^15,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,-1*K.1+2*K.1^5-K.1^11-K.1^15,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,4*K.1^24,-4*K.1^6,4*K.1^12,-4*K.1^18,2-2*K.1^6,2-2*K.1^4+2*K.1^14,-2+2*K.1^6-2*K.1^12,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,-2*K.1^6+2*K.1^12,-2+2*K.1^4-2*K.1^12-2*K.1^14,2*K.1^12+2*K.1^-12,-2*K.1^6-2*K.1^-6,-2*K.1^4+2*K.1^12+2*K.1^14,2+2*K.1^12,2,0,0,4*K.1^6,-4*K.1^12,-4*K.1^24,4*K.1^18,2-2*K.1^6+2*K.1^12,2-2*K.1^4+2*K.1^12+2*K.1^14,-2+2*K.1^4-2*K.1^14,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,-2*K.1^12-2*K.1^-12,2*K.1^4-2*K.1^12-2*K.1^14,2*K.1^6-2*K.1^12,-2+2*K.1^6,-2-2*K.1^12,2*K.1^6+2*K.1^-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,0,0,2*K.1^6,-2*K.1^24,-2*K.1^12,2*K.1^18,-1-K.1^12,K.1^4-K.1^12-K.1^14,1-K.1^4+K.1^12+K.1^14,-1+K.1^4-K.1^14,1-K.1^6+K.1^12,-1+K.1^6,K.1^6+K.1^-6,K.1^6-K.1^12,-1*K.1^12-K.1^-12,-1*K.1^4-K.1^6+K.1^12+K.1^14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^12,-2*K.1^18,2*K.1^24,-2*K.1^6,K.1^4+K.1^6-K.1^12-K.1^14,-1*K.1^4+K.1^12+K.1^14,1+K.1^12,-1+K.1^4-K.1^12-K.1^14,1-K.1^4+K.1^14,-1*K.1^6+K.1^12,K.1^12+K.1^-12,-1*K.1^6-K.1^-6,1-K.1^6,-1+K.1^6-K.1^12,0,0,0,0,0,0,0,0,-2*K.1^3+4*K.1^13,-2*K.1-2*K.1^11,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,2*K.1^3-4*K.1^13,2*K.1+2*K.1^11,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,K.1-2*K.1^5+K.1^11+K.1^15,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,K.1-K.1^3+K.1^11+2*K.1^13,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,K.1^3+2*K.1^5-2*K.1^13-K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1+K.1^3-K.1^11-2*K.1^13,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,-1*K.1+2*K.1^5-K.1^11-K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,-4*K.1^18,4*K.1^12,4*K.1^24,-4*K.1^6,2+2*K.1^12,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,-2+2*K.1^4-2*K.1^12-2*K.1^14,2-2*K.1^6,-2*K.1^4+2*K.1^12+2*K.1^14,-2*K.1^6+2*K.1^12,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,-2+2*K.1^6-2*K.1^12,2-2*K.1^4+2*K.1^14,2,0,0,-4*K.1^12,-4*K.1^24,4*K.1^18,4*K.1^6,2-2*K.1^4+2*K.1^12+2*K.1^14,2*K.1^6-2*K.1^12,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,-2+2*K.1^6,2*K.1^6+2*K.1^-6,2-2*K.1^6+2*K.1^12,2*K.1^4-2*K.1^12-2*K.1^14,-2-2*K.1^12,-2+2*K.1^4-2*K.1^14,-2*K.1^12-2*K.1^-12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,0,0,-2*K.1^12,2*K.1^18,-2*K.1^24,2*K.1^6,-1+K.1^4-K.1^14,1-K.1^6+K.1^12,K.1^6-K.1^12,-1*K.1^4-K.1^6+K.1^12+K.1^14,1-K.1^4+K.1^12+K.1^14,-1-K.1^12,-1*K.1^12-K.1^-12,K.1^4-K.1^12-K.1^14,K.1^6+K.1^-6,-1+K.1^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^24,-2*K.1^6,-2*K.1^18,2*K.1^12,1-K.1^6,-1+K.1^6-K.1^12,1-K.1^4+K.1^14,-1*K.1^6+K.1^12,K.1^4+K.1^6-K.1^12-K.1^14,-1*K.1^4+K.1^12+K.1^14,-1*K.1^6-K.1^-6,K.1^12+K.1^-12,1+K.1^12,-1+K.1^4-K.1^12-K.1^14,0,0,0,0,0,0,0,0,-2*K.1-2*K.1^11,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,2*K.1^3-4*K.1^13,2*K.1+2*K.1^11,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,-2*K.1^3+4*K.1^13,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,K.1-K.1^3+K.1^11+2*K.1^13,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,-1*K.1+2*K.1^5-K.1^11-K.1^15,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,-1*K.1+K.1^3-K.1^11-2*K.1^13,K.1^3+2*K.1^5-2*K.1^13-K.1^15,K.1-2*K.1^5+K.1^11+K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,4*K.1^12,-4*K.1^18,-4*K.1^6,4*K.1^24,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,2+2*K.1^12,-2*K.1^4+2*K.1^12+2*K.1^14,2-2*K.1^4+2*K.1^14,-2+2*K.1^4-2*K.1^12-2*K.1^14,-2+2*K.1^6-2*K.1^12,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,-2*K.1^6+2*K.1^12,2-2*K.1^6,2,0,0,4*K.1^18,4*K.1^6,-4*K.1^12,-4*K.1^24,2*K.1^4-2*K.1^12-2*K.1^14,2-2*K.1^6+2*K.1^12,-2-2*K.1^12,-2+2*K.1^4-2*K.1^14,2*K.1^6+2*K.1^-6,2*K.1^6-2*K.1^12,2-2*K.1^4+2*K.1^12+2*K.1^14,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,-2+2*K.1^6,-2*K.1^12-2*K.1^-12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^5-2*K.1^-5,2*K.1^5+2*K.1^-5,0,0,2*K.1^18,-2*K.1^12,2*K.1^6,-2*K.1^24,-1+K.1^6,K.1^6-K.1^12,1-K.1^6+K.1^12,-1-K.1^12,K.1^4-K.1^12-K.1^14,-1*K.1^4-K.1^6+K.1^12+K.1^14,-1*K.1^12-K.1^-12,1-K.1^4+K.1^12+K.1^14,K.1^6+K.1^-6,-1+K.1^4-K.1^14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^6,2*K.1^24,2*K.1^12,-2*K.1^18,1-K.1^4+K.1^14,-1*K.1^6+K.1^12,1-K.1^6,-1+K.1^6-K.1^12,1+K.1^12,-1+K.1^4-K.1^12-K.1^14,-1*K.1^6-K.1^-6,K.1^12+K.1^-12,K.1^4+K.1^6-K.1^12-K.1^14,-1*K.1^4+K.1^12+K.1^14,0,0,0,0,0,0,0,0,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,-2*K.1^3+4*K.1^13,2*K.1+2*K.1^11,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,2*K.1^3-4*K.1^13,-2*K.1-2*K.1^11,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,K.1-2*K.1^5+K.1^11+K.1^15,K.1^3+2*K.1^5-2*K.1^13-K.1^15,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-1*K.1+2*K.1^5-K.1^11-K.1^15,K.1-K.1^3+K.1^11+2*K.1^13,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,-1*K.1+K.1^3-K.1^11-2*K.1^13,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,-4*K.1^18,4*K.1^12,4*K.1^24,-4*K.1^6,2+2*K.1^12,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,-2+2*K.1^4-2*K.1^12-2*K.1^14,2-2*K.1^6,-2*K.1^4+2*K.1^12+2*K.1^14,-2*K.1^6+2*K.1^12,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,-2+2*K.1^6-2*K.1^12,2-2*K.1^4+2*K.1^14,2,0,0,-4*K.1^12,-4*K.1^24,4*K.1^18,4*K.1^6,2-2*K.1^4+2*K.1^12+2*K.1^14,2*K.1^6-2*K.1^12,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,-2+2*K.1^6,2*K.1^6+2*K.1^-6,2-2*K.1^6+2*K.1^12,2*K.1^4-2*K.1^12-2*K.1^14,-2-2*K.1^12,-2+2*K.1^4-2*K.1^14,-2*K.1^12-2*K.1^-12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,0,0,-2*K.1^12,2*K.1^18,-2*K.1^24,2*K.1^6,-1+K.1^4-K.1^14,1-K.1^6+K.1^12,K.1^6-K.1^12,-1*K.1^4-K.1^6+K.1^12+K.1^14,1-K.1^4+K.1^12+K.1^14,-1-K.1^12,-1*K.1^12-K.1^-12,K.1^4-K.1^12-K.1^14,K.1^6+K.1^-6,-1+K.1^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^24,-2*K.1^6,-2*K.1^18,2*K.1^12,1-K.1^6,-1+K.1^6-K.1^12,1-K.1^4+K.1^14,-1*K.1^6+K.1^12,K.1^4+K.1^6-K.1^12-K.1^14,-1*K.1^4+K.1^12+K.1^14,-1*K.1^6-K.1^-6,K.1^12+K.1^-12,1+K.1^12,-1+K.1^4-K.1^12-K.1^14,0,0,0,0,0,0,0,0,2*K.1+2*K.1^11,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,-2*K.1^3+4*K.1^13,-2*K.1-2*K.1^11,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,2*K.1^3-4*K.1^13,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,-1*K.1+K.1^3-K.1^11-2*K.1^13,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,K.1-2*K.1^5+K.1^11+K.1^15,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,K.1-K.1^3+K.1^11+2*K.1^13,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,-1*K.1+2*K.1^5-K.1^11-K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,K.1^3+2*K.1^5-2*K.1^13-K.1^15,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; K := CyclotomicField(60: Sparse := true); S := [ K |4,-4,0,0,0,0,0,0,-2,0,0,4*K.1^12,-4*K.1^18,-4*K.1^6,4*K.1^24,2*K.1^4+2*K.1^6-2*K.1^12-2*K.1^14,2+2*K.1^12,-2*K.1^4+2*K.1^12+2*K.1^14,2-2*K.1^4+2*K.1^14,-2+2*K.1^4-2*K.1^12-2*K.1^14,-2+2*K.1^6-2*K.1^12,-2*K.1^6-2*K.1^-6,2*K.1^12+2*K.1^-12,-2*K.1^6+2*K.1^12,2-2*K.1^6,2,0,0,4*K.1^18,4*K.1^6,-4*K.1^12,-4*K.1^24,2*K.1^4-2*K.1^12-2*K.1^14,2-2*K.1^6+2*K.1^12,-2-2*K.1^12,-2+2*K.1^4-2*K.1^14,2*K.1^6+2*K.1^-6,2*K.1^6-2*K.1^12,2-2*K.1^4+2*K.1^12+2*K.1^14,-2*K.1^4-2*K.1^6+2*K.1^12+2*K.1^14,-2+2*K.1^6,-2*K.1^12-2*K.1^-12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^5+2*K.1^-5,-2*K.1^5-2*K.1^-5,0,0,2*K.1^18,-2*K.1^12,2*K.1^6,-2*K.1^24,-1+K.1^6,K.1^6-K.1^12,1-K.1^6+K.1^12,-1-K.1^12,K.1^4-K.1^12-K.1^14,-1*K.1^4-K.1^6+K.1^12+K.1^14,-1*K.1^12-K.1^-12,1-K.1^4+K.1^12+K.1^14,K.1^6+K.1^-6,-1+K.1^4-K.1^14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^6,2*K.1^24,2*K.1^12,-2*K.1^18,1-K.1^4+K.1^14,-1*K.1^6+K.1^12,1-K.1^6,-1+K.1^6-K.1^12,1+K.1^12,-1+K.1^4-K.1^12-K.1^14,-1*K.1^6-K.1^-6,K.1^12+K.1^-12,K.1^4+K.1^6-K.1^12-K.1^14,-1*K.1^4+K.1^12+K.1^14,0,0,0,0,0,0,0,0,-4*K.1+4*K.1^5+4*K.1^7+2*K.1^9-4*K.1^13-4*K.1^15,2*K.1^3-4*K.1^13,-2*K.1-2*K.1^11,2*K.1+2*K.1^3-4*K.1^7-2*K.1^9-2*K.1^11+2*K.1^15,4*K.1-4*K.1^5-4*K.1^7-2*K.1^9+4*K.1^13+4*K.1^15,-2*K.1^3+4*K.1^13,2*K.1+2*K.1^11,-2*K.1-2*K.1^3+4*K.1^7+2*K.1^9+2*K.1^11-2*K.1^15,-1*K.1+2*K.1^5-K.1^11-K.1^15,-1*K.1^3-2*K.1^5+2*K.1^13+K.1^15,-2*K.1-K.1^3+2*K.1^7+K.1^9-K.1^15,K.1-K.1^3-2*K.1^5+K.1^11+2*K.1^13+K.1^15,-2*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9-2*K.1^15,-1*K.1+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^13-2*K.1^15,K.1-2*K.1^5+K.1^11+K.1^15,-1*K.1+K.1^3-K.1^11-2*K.1^13,-2*K.1+2*K.1^7+K.1^9-2*K.1^13-K.1^15,2*K.1+K.1^3-2*K.1^7-K.1^9+K.1^15,-1*K.1+K.1^3+2*K.1^5-K.1^11-2*K.1^13-K.1^15,K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^15,2*K.1-2*K.1^7-K.1^9+2*K.1^13+K.1^15,K.1-2*K.1^5-2*K.1^7-K.1^9-K.1^11+2*K.1^13+2*K.1^15,2*K.1+K.1^3-2*K.1^5-2*K.1^7-K.1^9+2*K.1^15,-1*K.1+2*K.1^7+K.1^9+K.1^11-2*K.1^13-K.1^15,K.1-2*K.1^7-K.1^9-K.1^11+2*K.1^13+K.1^15,K.1-K.1^3+K.1^11+2*K.1^13,-1*K.1-K.1^3+2*K.1^5+2*K.1^7+K.1^9+K.1^11-2*K.1^15,K.1^3+2*K.1^5-2*K.1^13-K.1^15,0,0,0,0,0,0,0,0]; x := CR!S; x`IsCharacter := true; x`Schur := 0; x`IsIrreducible := true; _ := CharacterTable(G : Check := 0); chartbl_1200_787:= KnownIrreducibles(CR);