/* Group 34992.lp downloaded from the LMFDB on 21 July 2026. */
 
/* Various presentations of this group are stored in this file: 
	 GPC is polycyclic presentation GPerm is permutation group 
	 GLZ, GLFp, GLZA, GLZq, GLFq if they exist are matrix groups 
 
 Many characteristics of the group are stored as booleans in a record: 
	 Agroup, Zgroup, abelian, almost_simple,cyclic, metabelian, 
	 metacyclic, monomial, nilpotent, perfect, quasisimple, rational, 
	 solvable, supersolvable 
 
 The character table is stored as chartbl_n_i where n is the order of 
 the group and i is which group of that order it is. Conjugacy classes 
 are stored in the variable 'C' with elements from the group 'G'. 
*/
 
/* Constructions */
GPC := PCGroup([11, 2, 2, 2, 3, 3, 2, 3, 3, 3, 3, 3, 22, 81060, 273506, 180655, 90, 1413635, 114238, 997924, 12555, 686, 238397, 55456, 533439, 225164, 2623, 192, 1962582, 29585, 462952, 1898, 1026439, 38034, 1188008, 384931, 320790, 304763, 3627, 1362249, 1425620, 47584, 2407, 104554, 1411365]); a,b,c,d,e,f,g,h := Explode([GPC.1, GPC.3, GPC.5, GPC.6, GPC.8, GPC.9, GPC.10, GPC.11]); AssignNames(~GPC, ["a", "a2", "b", "b2", "c", "d", "d2", "e", "f", "g", "h"]);
GPerm := PermutationGroup< 21 | (1,2,4,7,12,13,9,16,18,6,10,17)(3,5,8,14,11,15)(19,20), (1,2,3,5)(4,6,9,15)(7,11,16,18)(8,13,12,14)(10,17)(20,21) >;

 
/* Booleans */
RF := recformat< Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable  : BoolElt >; 
booleans_34992_lp := rec< RF |  
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := false,
metacyclic := false,
nilpotent := false,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := false>; 

 
/* Character Table */
G:= GPerm;
C := SequenceToConjugacyClasses([car<Integers(), Integers(), G> |< 1, 1, Id(G)>,< 2, 18, G!(5,13)(6,17)(7,14)>,< 2, 81, G!(4,18)(6,7)(8,12)(9,11)(13,14)(15,16)>,< 2, 81, G!(3,8)(4,10)(5,13)(6,17)(7,14)(12,18)>,< 2, 81, G!(3,10)(4,8)(5,17)(6,13)(7,14)(9,11)(12,18)(15,16)>,< 2, 162, G!(4,18)(5,17)(6,13)(7,14)(8,12)(9,11)(15,16)>,< 3, 2, G!(19,21,20)>,< 3, 4, G!(2,15,16)(5,7,6)(13,14,17)>,< 3, 4, G!(1,9,11)(2,16,15)(3,18,4)(5,6,7)(8,12,10)(13,17,14)>,< 3, 4, G!(2,15,16)(5,7,6)(13,14,17)(19,21,20)>,< 3, 4, G!(2,16,15)(5,6,7)(13,17,14)(19,20,21)>,< 3, 4, G!(1,9,11)(2,16,15)(3,18,4)(5,6,7)(8,12,10)(13,17,14)(19,21,20)>,< 3, 4, G!(1,11,9)(2,15,16)(3,4,18)(5,7,6)(8,10,12)(13,14,17)(19,20,21)>,< 3, 12, G!(3,18,4)(8,10,12)>,< 3, 12, G!(2,17,5)(6,16,14)(7,15,13)>,< 3, 12, G!(3,18,4)(8,10,12)(19,21,20)>,< 3, 12, G!(3,4,18)(8,12,10)(19,20,21)>,< 3, 12, G!(2,17,5)(6,16,14)(7,15,13)(19,21,20)>,< 3, 12, G!(2,5,17)(6,14,16)(7,13,15)(19,20,21)>,< 3, 24, G!(2,7,13)(5,17,16)(6,14,15)>,< 3, 24, G!(1,11,9)(2,15,16)(3,4,18)(8,10,12)(13,17,14)>,< 3, 24, G!(1,9,11)(2,7,14)(3,18,4)(5,13,16)(6,17,15)(8,12,10)>,< 3, 24, G!(1,10,4)(2,15,16)(3,9,8)(5,7,6)(11,12,18)(13,14,17)(19,20,21)>,< 3, 24, G!(1,4,10)(2,16,15)(3,8,9)(5,6,7)(11,18,12)(13,17,14)(19,21,20)>,< 3, 24, G!(1,11,9)(2,7,13)(3,4,18)(5,17,16)(6,14,15)(8,10,12)(19,20,21)>,< 3, 24, G!(1,9,11)(2,13,7)(3,18,4)(5,16,17)(6,15,14)(8,12,10)(19,21,20)>,< 3, 24, G!(1,9,11)(2,6,13)(3,18,4)(5,14,15)(7,17,16)(8,12,10)(19,21,20)>,< 3, 24, G!(1,11,9)(2,13,6)(3,4,18)(5,15,14)(7,16,17)(8,10,12)(19,20,21)>,< 3, 24, G!(1,10,4)(2,15,16)(3,9,8)(5,7,6)(11,12,18)(13,14,17)>,< 3, 24, G!(1,4,10)(2,16,15)(3,8,9)(5,6,7)(11,18,12)(13,17,14)>,< 3, 24, G!(2,17,7)(5,16,14)(6,15,13)(19,20,21)>,< 3, 24, G!(2,7,17)(5,14,16)(6,13,15)(19,21,20)>,< 3, 24, G!(1,11,9)(2,15,16)(3,18,4)(5,7,6)(13,14,17)(19,21,20)>,< 3, 24, G!(1,9,11)(2,16,15)(3,4,18)(5,6,7)(13,17,14)(19,20,21)>,< 3, 36, G!(1,4,8)(2,6,13)(3,12,9)(5,14,15)(7,17,16)(10,11,18)>,< 3, 36, G!(1,11,9)(2,15,16)(3,18,4)(13,17,14)>,< 3, 72, G!(1,10,3)(2,13,6)(4,11,12)(5,15,14)(7,16,17)(8,18,9)(19,20,21)>,< 3, 72, G!(2,17,5)(3,18,4)(6,16,14)(7,15,13)(8,10,12)>,< 3, 72, G!(2,16,15)(3,4,18)(8,12,10)(13,14,17)(19,20,21)>,< 3, 72, G!(1,4,8)(2,16,15)(3,12,9)(10,11,18)(13,14,17)(19,21,20)>,< 3, 72, G!(1,8,4)(2,15,16)(3,9,12)(10,18,11)(13,17,14)(19,20,21)>,< 3, 144, G!(2,5,13)(3,4,18)(6,17,16)(7,14,15)(8,12,10)>,< 3, 144, G!(1,3,8)(2,5,13)(4,10,11)(6,17,16)(7,14,15)(9,18,12)>,< 3, 144, G!(1,3,8)(2,5,17)(4,10,11)(6,14,16)(7,13,15)(9,18,12)>,< 3, 144, G!(2,5,13)(3,4,18)(6,17,16)(7,14,15)(8,12,10)(19,20,21)>,< 3, 144, G!(2,5,13)(3,4,18)(6,17,16)(7,14,15)(8,12,10)(19,21,20)>,< 3, 144, G!(1,3,8)(2,5,13)(4,10,11)(6,17,16)(7,14,15)(9,18,12)(19,20,21)>,< 3, 144, G!(1,3,8)(2,5,13)(4,10,11)(6,17,16)(7,14,15)(9,18,12)(19,21,20)>,< 3, 144, G!(1,3,8)(2,5,17)(4,10,11)(6,14,16)(7,13,15)(9,18,12)(19,20,21)>,< 3, 144, G!(1,3,8)(2,5,17)(4,10,11)(6,14,16)(7,13,15)(9,18,12)(19,21,20)>,< 4, 1458, G!(1,6)(2,8)(3,17,18,14)(4,13)(5,9,7,11)(10,15,12,16)(19,20)>,< 4, 1458, G!(1,6)(2,8)(3,14,18,17)(4,13)(5,11,7,9)(10,16,12,15)(19,20)>,< 4, 1458, G!(1,16,3,13)(2,18,17,11)(4,14,9,15)(5,10)(6,12,7,8)(20,21)>,< 4, 1458, G!(1,13,3,16)(2,11,17,18)(4,15,9,14)(5,10)(6,8,7,12)(20,21)>,< 6, 18, G!(5,13)(6,17)(7,14)(19,20,21)>,< 6, 18, G!(5,13)(6,17)(7,14)(19,21,20)>,< 6, 36, G!(2,5,15,7,16,6)(13,17,14)>,< 6, 36, G!(2,15,16)(3,8)(4,10)(5,7,6)(12,18)(13,14,17)>,< 6, 36, G!(1,3,9,18,11,4)(2,15,16)(5,7,6)(8,10,12)(13,14,17)>,< 6, 36, G!(1,3,11,4,9,18)(2,15,16)(5,7,6)(8,12,10)(13,14,17)>,< 6, 36, G!(2,5,15,7,16,6)(13,17,14)(19,20,21)>,< 6, 36, G!(2,5,15,7,16,6)(13,17,14)(19,21,20)>,< 6, 36, G!(2,15,16)(3,8)(4,10)(5,7,6)(12,18)(13,14,17)(19,20,21)>,< 6, 36, G!(2,15,16)(3,8)(4,10)(5,7,6)(12,18)(13,14,17)(19,21,20)>,< 6, 36, G!(1,3,9,18,11,4)(2,15,16)(5,7,6)(8,10,12)(13,14,17)(19,20,21)>,< 6, 36, G!(1,3,9,18,11,4)(2,15,16)(5,7,6)(8,10,12)(13,14,17)(19,21,20)>,< 6, 36, G!(1,3,11,4,9,18)(2,15,16)(5,7,6)(8,12,10)(13,14,17)(19,20,21)>,< 6, 36, G!(1,3,11,4,9,18)(2,15,16)(5,7,6)(8,12,10)(13,14,17)(19,21,20)>,< 6, 108, G!(3,4,18)(5,13)(6,17)(7,14)(8,12,10)>,< 6, 108, G!(2,5,17)(3,8)(4,10)(6,14,16)(7,13,15)(12,18)>,< 6, 108, G!(3,4,18)(5,13)(6,17)(7,14)(8,12,10)(19,20,21)>,< 6, 108, G!(3,4,18)(5,13)(6,17)(7,14)(8,12,10)(19,21,20)>,< 6, 108, G!(2,5,17)(3,8)(4,10)(6,14,16)(7,13,15)(12,18)(19,20,21)>,< 6, 108, G!(2,5,17)(3,8)(4,10)(6,14,16)(7,13,15)(12,18)(19,21,20)>,< 6, 162, G!(4,18)(6,7)(8,12)(9,11)(13,14)(15,16)(19,20,21)>,< 6, 162, G!(3,8)(4,10)(5,13)(6,17)(7,14)(12,18)(19,20,21)>,< 6, 162, G!(3,10)(4,8)(5,17)(6,13)(7,14)(9,11)(12,18)(15,16)(19,20,21)>,< 6, 162, G!(4,18)(5,17)(6,13)(7,14)(8,12)(9,11)(15,16)(19,20,21)>,< 6, 162, G!(4,18)(5,17)(6,13)(7,14)(8,12)(9,11)(15,16)(19,21,20)>,< 6, 216, G!(1,3)(2,13,7)(4,11)(5,16,17)(6,15,14)(9,18)>,< 6, 216, G!(1,9,11)(2,16,15)(3,10,4,12,18,8)(13,14,17)>,< 6, 216, G!(1,11,9)(2,14,7)(3,12,18,10,4,8)(5,16,13)(6,15,17)>,< 6, 216, G!(1,4,10)(2,5,15,7,16,6)(3,8,9)(11,18,12)(13,17,14)(19,21,20)>,< 6, 216, G!(1,10,4)(2,6,16,7,15,5)(3,9,8)(11,12,18)(13,14,17)(19,20,21)>,< 6, 216, G!(1,9,11)(2,13,7)(3,10,4,12,18,8)(5,16,17)(6,15,14)(19,21,20)>,< 6, 216, G!(1,11,9)(2,7,13)(3,8,18,12,4,10)(5,17,16)(6,14,15)(19,20,21)>,< 6, 216, G!(1,12,9,10,11,8)(2,13,6)(3,4,18)(5,15,14)(7,16,17)(19,20,21)>,< 6, 216, G!(1,8,11,10,9,12)(2,6,13)(3,18,4)(5,14,15)(7,17,16)(19,21,20)>,< 6, 216, G!(1,4,10)(2,17,15,13,16,14)(3,8,9)(5,6,7)(11,18,12)>,< 6, 216, G!(1,10,4)(2,14,16,13,15,17)(3,9,8)(5,7,6)(11,12,18)>,< 6, 216, G!(1,10)(2,7,17)(5,14,16)(6,13,15)(8,9)(11,12)(19,21,20)>,< 6, 216, G!(1,10)(2,17,7)(5,16,14)(6,15,13)(8,9)(11,12)(19,20,21)>,< 6, 216, G!(1,9,11)(2,7,15,6,16,5)(3,4,18)(13,17,14)(19,20,21)>,< 6, 216, G!(1,11,9)(2,5,16,6,15,7)(3,18,4)(13,14,17)(19,21,20)>,< 6, 324, G!(1,8,4)(2,13,6)(3,11,12,18,9,10)(5,16,14,7,15,17)>,< 6, 324, G!(1,4,11,3,9,18)(2,13,15,17,16,14)(6,7)(8,12)>,< 6, 324, G!(1,8,4)(2,14)(3,11,12,18,9,10)(5,6)(13,15)(16,17)>,< 6, 324, G!(1,8,11,12,9,10)(3,4)(5,17)(6,13)(7,14)(15,16)>,< 6, 324, G!(1,3,12,11,18,8)(2,16)(4,10,9)(5,6)(14,17)>,< 6, 324, G!(1,9,11)(2,6,15,5,16,7)(3,8,4,10,18,12)(13,17,14)>,< 6, 324, G!(1,18,11,3,9,4)(2,6)(5,15)(7,16)(8,12,10)>,< 6, 324, G!(2,6,16,5,15,7)(4,18)(8,12)(9,11)(13,14)>,< 6, 324, G!(1,12,11,8,9,10)(2,5,16,6,15,7)(3,18,4)(13,14,17)(19,20,21)>,< 6, 324, G!(1,10,9,8,11,12)(2,7,15,6,16,5)(3,4,18)(13,17,14)(19,21,20)>,< 6, 324, G!(1,4)(2,6,17,16,5,14)(3,11)(7,13,15)(9,18)(10,12)(19,21,20)>,< 6, 324, G!(1,4)(2,14,5,16,17,6)(3,11)(7,15,13)(9,18)(10,12)(19,20,21)>,< 6, 324, G!(1,18,9,4,11,3)(5,13)(6,17)(7,14)(8,10,12)(19,21,20)>,< 6, 324, G!(1,3,11,4,9,18)(5,13)(6,17)(7,14)(8,12,10)(19,20,21)>,< 6, 324, G!(3,10)(4,8)(5,14,6,17,7,13)(9,11)(12,18)(15,16)(19,21,20)>,< 6, 324, G!(3,10)(4,8)(5,13,7,17,6,14)(9,11)(12,18)(15,16)(19,20,21)>,< 6, 324, G!(1,9)(2,7,14)(3,4)(5,17,16,6,13,15)(8,12)(19,21,20)>,< 6, 324, G!(1,9)(2,14,7)(3,4)(5,15,13,6,16,17)(8,12)(19,20,21)>,< 6, 324, G!(1,8,11,12,9,10)(2,16)(3,4)(6,7)(13,17)(19,21,20)>,< 6, 324, G!(1,10,9,12,11,8)(2,16)(3,4)(6,7)(13,17)(19,20,21)>,< 6, 648, G!(1,18,10,9,3,8)(2,5,13,15,6,14)(4,12,11)(7,17,16)(19,21,20)>,< 6, 648, G!(2,5,17)(3,8,18,10,4,12)(6,13,16,7,14,15)(9,11)>,< 6, 648, G!(2,13,16,14,15,17)(3,12,4,10,18,8)(5,6)(9,11)(19,21,20)>,< 6, 648, G!(1,12,4,9,8,3)(2,13,16,14,15,17)(5,6)(10,18,11)(19,20,21)>,< 6, 648, G!(1,3,8,9,4,12)(2,17,15,14,16,13)(5,6)(10,11,18)(19,21,20)>,< 12, 2916, G!(1,13,8,6,4,2)(3,15,11,17,12,5,18,16,9,14,10,7)(19,20)>,< 12, 2916, G!(1,2,4,6,8,13)(3,7,10,14,9,16,18,5,12,17,11,15)(19,20)>,< 12, 2916, G!(1,17,4,16,11,14,3,2,9,13,18,15)(5,10)(6,8,7,12)(20,21)>,< 12, 2916, G!(1,15,18,13,9,2,3,14,11,16,4,17)(5,10)(6,12,7,8)(20,21)>]); 
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]; 
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]; 
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]; 
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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1*K.1,K.1,K.1,-1*K.1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,-1,1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,-1,-1,1,1,1,1,1,1,1,1,1,-1,-1,-1,-1,1,1,-1,1,-1,1,1,K.1,-1*K.1,-1*K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,-1*K.1,-1*K.1,K.1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,-1,1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,-1,-1,1,1,1,1,1,1,1,1,1,-1,-1,-1,-1,1,1,-1,1,-1,1,1,-1*K.1,K.1,K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,-1,1,-1,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1*K.1,K.1,-1*K.1,K.1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,1,-1,-1,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,-1,-1,-1,-1,1,1,-1,1,1,-1,-1,1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,K.1,-1*K.1,K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,-1,1,-1,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,K.1,-1*K.1,K.1,-1*K.1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,1,-1,-1,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,-1,-1,-1,-1,1,1,-1,1,1,-1,-1,1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1*K.1,K.1,-1*K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[2, 2, 2, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 0, -2, -2, 2, 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, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, -2, -2, 0, -2, -2, 0, 0, -2, -2, 2, 2, -2, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 0, 2, -2, -2, 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, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 2, -2, -2, 0, -2, -2, 0, 0, -2, -2, -2, -2, 2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, -2, 2, 2, 2, -2, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 1, 1, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, -1, -1, -1, 1, 1, -2, -2, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, 2, 2, -2, 2, 2, 2, 2, -2, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -2, -1, 1, 1, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, -2, -2, 2, -2, 2, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 1, 1, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, -1, 1, -1, -1, -2, -2, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, -2, -2, 2, -2, -2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 2, 1, -1, -1, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
x := CR!\[2, 2, -2, 2, -2, -2, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 1, -1, 1, 1, 1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -2, -2, -2, -2, -2, 2, 2, -2, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |2,0,-2,-2,2,0,-1,2,2,-1,-1,-1,-1,2,2,-1,-1,-1,-1,2,2,2,-1,-1,-1,-1,-1,-1,2,2,-1,-1,-1,-1,2,2,-1,2,-1,-1,-1,2,2,2,-1,-1,-1,-1,-1,-1,0,0,0,0,-1-2*K.1,1+2*K.1,0,0,0,0,-1-2*K.1,1+2*K.1,1+2*K.1,-1-2*K.1,1+2*K.1,-1-2*K.1,1+2*K.1,-1-2*K.1,0,0,-1-2*K.1,1+2*K.1,1+2*K.1,-1-2*K.1,1,1,-1,1+2*K.1,-1-2*K.1,0,0,0,1+2*K.1,-1-2*K.1,-1-2*K.1,1+2*K.1,1+2*K.1,-1-2*K.1,0,0,-1-2*K.1,1+2*K.1,-1-2*K.1,1+2*K.1,-2,2,0,2,-2,-2,-2,0,1,1,1+2*K.1,-1-2*K.1,1,1,-1,-1,1,1,1+2*K.1,-1-2*K.1,1,0,-1,1+2*K.1,-1-2*K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |2,0,-2,-2,2,0,-1,2,2,-1,-1,-1,-1,2,2,-1,-1,-1,-1,2,2,2,-1,-1,-1,-1,-1,-1,2,2,-1,-1,-1,-1,2,2,-1,2,-1,-1,-1,2,2,2,-1,-1,-1,-1,-1,-1,0,0,0,0,1+2*K.1,-1-2*K.1,0,0,0,0,1+2*K.1,-1-2*K.1,-1-2*K.1,1+2*K.1,-1-2*K.1,1+2*K.1,-1-2*K.1,1+2*K.1,0,0,1+2*K.1,-1-2*K.1,-1-2*K.1,1+2*K.1,1,1,-1,-1-2*K.1,1+2*K.1,0,0,0,-1-2*K.1,1+2*K.1,1+2*K.1,-1-2*K.1,-1-2*K.1,1+2*K.1,0,0,1+2*K.1,-1-2*K.1,1+2*K.1,-1-2*K.1,-2,2,0,2,-2,-2,-2,0,1,1,-1-2*K.1,1+2*K.1,1,1,-1,-1,1,1,-1-2*K.1,1+2*K.1,1,0,-1,-1-2*K.1,1+2*K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |2,0,2,-2,-2,0,-1,2,2,-1,-1,-1,-1,2,2,-1,-1,-1,-1,2,2,2,-1,-1,-1,-1,-1,-1,2,2,-1,-1,-1,-1,2,2,-1,2,-1,-1,-1,2,2,2,-1,-1,-1,-1,-1,-1,0,0,0,0,-1-2*K.1,1+2*K.1,0,0,0,0,-1-2*K.1,1+2*K.1,1+2*K.1,-1-2*K.1,1+2*K.1,-1-2*K.1,1+2*K.1,-1-2*K.1,0,0,-1-2*K.1,1+2*K.1,1+2*K.1,-1-2*K.1,-1,1,1,-1-2*K.1,1+2*K.1,0,0,0,1+2*K.1,-1-2*K.1,-1-2*K.1,1+2*K.1,1+2*K.1,-1-2*K.1,0,0,-1-2*K.1,1+2*K.1,-1-2*K.1,1+2*K.1,2,-2,0,-2,2,-2,-2,0,1,1,-1-2*K.1,1+2*K.1,1,1,1,1,-1,-1,-1-2*K.1,1+2*K.1,-1,0,1,-1-2*K.1,1+2*K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |2,0,2,-2,-2,0,-1,2,2,-1,-1,-1,-1,2,2,-1,-1,-1,-1,2,2,2,-1,-1,-1,-1,-1,-1,2,2,-1,-1,-1,-1,2,2,-1,2,-1,-1,-1,2,2,2,-1,-1,-1,-1,-1,-1,0,0,0,0,1+2*K.1,-1-2*K.1,0,0,0,0,1+2*K.1,-1-2*K.1,-1-2*K.1,1+2*K.1,-1-2*K.1,1+2*K.1,-1-2*K.1,1+2*K.1,0,0,1+2*K.1,-1-2*K.1,-1-2*K.1,1+2*K.1,-1,1,1,1+2*K.1,-1-2*K.1,0,0,0,-1-2*K.1,1+2*K.1,1+2*K.1,-1-2*K.1,-1-2*K.1,1+2*K.1,0,0,1+2*K.1,-1-2*K.1,1+2*K.1,-1-2*K.1,2,-2,0,-2,2,-2,-2,0,1,1,1+2*K.1,-1-2*K.1,1,1,1,1,-1,-1,1+2*K.1,-1-2*K.1,-1,0,1,1+2*K.1,-1-2*K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, -2, 4, -2, -2, 4, 4, -2, -2, 4, -2, -2, -2, -2, 4, 4, -2, -2, -2, -2, -2, -2, 4, 1, 4, -2, 1, -2, -2, 1, 1, -2, 1, 1, 1, 1, -2, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, -1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, -2, 4, 4, -2, -2, -2, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 1, 4, 1, -2, 4, -2, -2, -2, 1, 1, -2, -2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, 2, 0, 0, 4, 2, 4, 4, 4, 4, 4, 4, 4, 1, 4, 1, 1, 4, 4, 1, 1, 4, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 4, -2, 4, 1, -2, 1, 1, -2, -2, 1, -2, -2, -2, -2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, -1, -1, 2, 2, 0, 0, 4, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, -2, 2, 1, 0, 0, 0, -1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, -1, -1, 0, -1, -2, -1, -1, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, 2, 4, 0, 0, 2, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, -2, 4, -2, 1, 4, 1, 1, 1, -2, -2, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, -1, -1, 4, 0, 0, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -2, 0, -1, 0, 1, 0, 0, 2, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1, 2, 2, -2, -1, 0, -1, -1, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, -2, 0, 0, 4, -2, 4, 4, 4, 4, 4, 4, 4, 1, 4, 1, 1, 4, 4, 1, 1, 4, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 4, -2, 4, 1, -2, 1, 1, -2, -2, 1, -2, -2, -2, -2, 1, 1, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, -2, 1, 1, -2, -2, 0, 0, 4, -2, -2, 1, 1, -2, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, 0, -2, -2, 1, 0, 0, 0, 1, 0, 0, -2, -2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, -2, 1, 1, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, -2, 4, 0, 0, -2, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, -2, 4, -2, 1, 4, 1, 1, 1, -2, -2, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, -2, -2, 1, 1, 4, 0, 0, -2, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, 0, 1, 0, 1, 0, 0, -2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, -2, -2, -2, 1, 0, 1, 1, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, -2, 4, -2, -2, 4, 4, -2, -2, 4, -2, -2, -2, -2, 4, 4, -2, -2, -2, -2, -2, -2, 4, 1, 4, -2, 1, -2, -2, 1, 1, -2, 1, 1, 1, 1, -2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, -2, 4, 4, -2, -2, -2, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 1, 4, 1, -2, 4, -2, -2, -2, 1, 1, -2, -2, 1, 1, 1, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, -2, -4, 0, 0, 2, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, -2, 4, -2, 1, 4, 1, 1, 1, -2, -2, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, -2, -2, 1, 1, -4, 0, 0, 2, 2, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 2, 0, -1, 0, -1, 0, 0, 2, 0, 0, -1, -1, 0, 0, 0, 0, -1, -1, 2, 2, 2, -1, 0, -1, -1, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, -2, 0, 0, -4, 2, 4, 4, 4, 4, 4, 4, 4, 1, 4, 1, 1, 4, 4, 1, 1, 4, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 4, -2, 4, 1, -2, 1, 1, -2, -2, 1, -2, -2, -2, -2, 1, 1, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, -2, 1, 1, -2, -2, 0, 0, -4, 2, 2, 1, 1, -2, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, 0, 2, 2, -1, 0, 0, 0, -1, 0, 0, 2, 2, 0, 0, -1, -1, 0, 0, -1, -1, 0, -1, 2, -1, -1, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, 2, -4, 0, 0, -2, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, -2, 4, -2, 1, 4, 1, 1, 1, -2, -2, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, 2, -1, -1, -4, 0, 0, -2, -2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 0, 1, 0, -1, 0, 0, -2, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1, -2, -2, 2, 1, 0, 1, 1, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, 2, 0, 0, -4, -2, 4, 4, 4, 4, 4, 4, 4, 1, 4, 1, 1, 4, 4, 1, 1, 4, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 4, -2, 4, 1, -2, 1, 1, -2, -2, 1, -2, -2, -2, -2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, -1, -1, 2, 2, 0, 0, -4, -2, -2, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 2, -2, -1, 0, 0, 0, 1, 0, 0, -2, -2, 0, 0, -1, -1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,2,0,0,4,2,-2,4,4,-2,-2,-2,-2,1,4,-2-3*K.1,1+3*K.1,-2,-2,1,1,4,1+3*K.1,-2-3*K.1,-2-3*K.1,1+3*K.1,-2,-2,1,1,-2-3*K.1,1+3*K.1,-2-3*K.1,1+3*K.1,4,-2,-2,1,1,1+3*K.1,-2-3*K.1,-2,-2,1,1,1,1,1,1+3*K.1,-2-3*K.1,0,0,0,0,2*K.1^-1,2*K.1,2,2,2,2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,-1,2,-1*K.1^-1,-1*K.1,2*K.1,2*K.1^-1,0,0,-2,2*K.1,2*K.1^-1,-1,-1,2,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,2*K.1,2*K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1,0,-2,2,1,0,0,0,-1,0,0,2*K.1,2*K.1^-1,0,0,1+3*K.1,-2-3*K.1,0,0,-1*K.1,-1*K.1^-1,0,-1,1,-1*K.1,-1*K.1^-1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,2,0,0,4,2,-2,4,4,-2,-2,-2,-2,1,4,1+3*K.1,-2-3*K.1,-2,-2,1,1,4,-2-3*K.1,1+3*K.1,1+3*K.1,-2-3*K.1,-2,-2,1,1,1+3*K.1,-2-3*K.1,1+3*K.1,-2-3*K.1,4,-2,-2,1,1,-2-3*K.1,1+3*K.1,-2,-2,1,1,1,1,1,-2-3*K.1,1+3*K.1,0,0,0,0,2*K.1,2*K.1^-1,2,2,2,2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,-1,2,-1*K.1,-1*K.1^-1,2*K.1^-1,2*K.1,0,0,-2,2*K.1^-1,2*K.1,-1,-1,2,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,2*K.1^-1,2*K.1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,0,-2,2,1,0,0,0,-1,0,0,2*K.1^-1,2*K.1,0,0,-2-3*K.1,1+3*K.1,0,0,-1*K.1^-1,-1*K.1,0,-1,1,-1*K.1^-1,-1*K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,2,4,0,0,2,-2,4,4,-2,-2,-2,-2,4,1,-2,-2,-2-3*K.1,1+3*K.1,1,4,1,-2-3*K.1,1+3*K.1,1+3*K.1,-2-3*K.1,-2-3*K.1,1+3*K.1,1,1,1+3*K.1,-2-3*K.1,-2,-2,-2,4,1,1,-2,1+3*K.1,-2-3*K.1,1,-2,-2,1+3*K.1,-2-3*K.1,1,1,1,1,0,0,0,0,2*K.1,2*K.1^-1,2,2,2,2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2,-1,2*K.1,2*K.1^-1,-1*K.1^-1,-1*K.1,-2,0,0,2*K.1,2*K.1^-1,-1,2,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1,-1*K.1,-1*K.1^-1,2*K.1,2*K.1^-1,-2,0,-1,0,1,0,0,2,0,0,-1*K.1,-1*K.1^-1,0,0,0,0,-2-3*K.1,1+3*K.1,2*K.1,2*K.1^-1,1,-1,0,-1*K.1,-1*K.1^-1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,2,4,0,0,2,-2,4,4,-2,-2,-2,-2,4,1,-2,-2,1+3*K.1,-2-3*K.1,1,4,1,1+3*K.1,-2-3*K.1,-2-3*K.1,1+3*K.1,1+3*K.1,-2-3*K.1,1,1,-2-3*K.1,1+3*K.1,-2,-2,-2,4,1,1,-2,-2-3*K.1,1+3*K.1,1,-2,-2,-2-3*K.1,1+3*K.1,1,1,1,1,0,0,0,0,2*K.1^-1,2*K.1,2,2,2,2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2,-1,2*K.1^-1,2*K.1,-1*K.1,-1*K.1^-1,-2,0,0,2*K.1^-1,2*K.1,-1,2,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,2*K.1^-1,2*K.1,-2,0,-1,0,1,0,0,2,0,0,-1*K.1^-1,-1*K.1,0,0,0,0,1+3*K.1,-2-3*K.1,2*K.1^-1,2*K.1,1,-1,0,-1*K.1^-1,-1*K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |4,0,-4,0,0,0,4,4,4,4,4,4,4,4,-2,4,4,-2,-2,-2,4,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,4,4,1,4,1,-2,4,-2,-2,-2,1,1,-2,-2,1,1,1,1,-2*K.1,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-1,0,0,0,0,-1*K.1,K.1,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |4,0,-4,0,0,0,4,4,4,4,4,4,4,4,-2,4,4,-2,-2,-2,4,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,4,4,1,4,1,-2,4,-2,-2,-2,1,1,-2,-2,1,1,1,1,2*K.1,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,-1,0,0,0,0,K.1,-1*K.1,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |4,0,0,0,-4,0,4,4,4,4,4,4,4,-2,4,-2,-2,4,4,-2,-2,4,-2,-2,-2,-2,4,4,-2,-2,-2,-2,-2,-2,4,1,4,-2,1,-2,-2,1,1,-2,1,1,1,1,-2,-2,0,0,-2*K.1,2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,-1,0,0,0,0,-1*K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |4,0,0,0,-4,0,4,4,4,4,4,4,4,-2,4,-2,-2,4,4,-2,-2,4,-2,-2,-2,-2,4,4,-2,-2,-2,-2,-2,-2,4,1,4,-2,1,-2,-2,1,1,-2,1,1,1,1,-2,-2,0,0,2*K.1,-2*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,-1,0,0,0,0,K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,-2,0,0,4,-2,-2,4,4,-2,-2,-2,-2,1,4,-2-3*K.1,1+3*K.1,-2,-2,1,1,4,1+3*K.1,-2-3*K.1,-2-3*K.1,1+3*K.1,-2,-2,1,1,-2-3*K.1,1+3*K.1,-2-3*K.1,1+3*K.1,4,-2,-2,1,1,1+3*K.1,-2-3*K.1,-2,-2,1,1,1,1,1,1+3*K.1,-2-3*K.1,0,0,0,0,-2*K.1^-1,-2*K.1,-2,-2,-2,-2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,1,-2,K.1^-1,K.1,-2*K.1,-2*K.1^-1,0,0,-2,-2*K.1,-2*K.1^-1,1,1,-2,K.1,K.1^-1,K.1^-1,K.1,-2*K.1,-2*K.1^-1,1,1,K.1^-1,K.1,K.1^-1,K.1,0,-2,-2,1,0,0,0,1,0,0,-2*K.1,-2*K.1^-1,0,0,1+3*K.1,-2-3*K.1,0,0,K.1,K.1^-1,0,1,1,K.1,K.1^-1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,-2,0,0,4,-2,-2,4,4,-2,-2,-2,-2,1,4,1+3*K.1,-2-3*K.1,-2,-2,1,1,4,-2-3*K.1,1+3*K.1,1+3*K.1,-2-3*K.1,-2,-2,1,1,1+3*K.1,-2-3*K.1,1+3*K.1,-2-3*K.1,4,-2,-2,1,1,-2-3*K.1,1+3*K.1,-2,-2,1,1,1,1,1,-2-3*K.1,1+3*K.1,0,0,0,0,-2*K.1,-2*K.1^-1,-2,-2,-2,-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,1,-2,K.1,K.1^-1,-2*K.1^-1,-2*K.1,0,0,-2,-2*K.1^-1,-2*K.1,1,1,-2,K.1^-1,K.1,K.1,K.1^-1,-2*K.1^-1,-2*K.1,1,1,K.1,K.1^-1,K.1,K.1^-1,0,-2,-2,1,0,0,0,1,0,0,-2*K.1^-1,-2*K.1,0,0,-2-3*K.1,1+3*K.1,0,0,K.1^-1,K.1,0,1,1,K.1^-1,K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,-2,4,0,0,-2,-2,4,4,-2,-2,-2,-2,4,1,-2,-2,-2-3*K.1,1+3*K.1,1,4,1,-2-3*K.1,1+3*K.1,1+3*K.1,-2-3*K.1,-2-3*K.1,1+3*K.1,1,1,1+3*K.1,-2-3*K.1,-2,-2,-2,4,1,1,-2,1+3*K.1,-2-3*K.1,1,-2,-2,1+3*K.1,-2-3*K.1,1,1,1,1,0,0,0,0,-2*K.1,-2*K.1^-1,-2,-2,-2,-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2,1,-2*K.1,-2*K.1^-1,K.1^-1,K.1,-2,0,0,-2*K.1,-2*K.1^-1,1,-2,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,K.1,1,1,K.1,K.1^-1,-2*K.1,-2*K.1^-1,-2,0,1,0,1,0,0,-2,0,0,K.1,K.1^-1,0,0,0,0,-2-3*K.1,1+3*K.1,-2*K.1,-2*K.1^-1,1,1,0,K.1,K.1^-1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,-2,4,0,0,-2,-2,4,4,-2,-2,-2,-2,4,1,-2,-2,1+3*K.1,-2-3*K.1,1,4,1,1+3*K.1,-2-3*K.1,-2-3*K.1,1+3*K.1,1+3*K.1,-2-3*K.1,1,1,-2-3*K.1,1+3*K.1,-2,-2,-2,4,1,1,-2,-2-3*K.1,1+3*K.1,1,-2,-2,-2-3*K.1,1+3*K.1,1,1,1,1,0,0,0,0,-2*K.1^-1,-2*K.1,-2,-2,-2,-2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2,1,-2*K.1^-1,-2*K.1,K.1,K.1^-1,-2,0,0,-2*K.1^-1,-2*K.1,1,-2,1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,1,1,K.1^-1,K.1,-2*K.1^-1,-2*K.1,-2,0,1,0,1,0,0,-2,0,0,K.1^-1,K.1,0,0,0,0,1+3*K.1,-2-3*K.1,-2*K.1^-1,-2*K.1,1,1,0,K.1^-1,K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,-2,-4,0,0,2,-2,4,4,-2,-2,-2,-2,4,1,-2,-2,-2-3*K.1,1+3*K.1,1,4,1,-2-3*K.1,1+3*K.1,1+3*K.1,-2-3*K.1,-2-3*K.1,1+3*K.1,1,1,1+3*K.1,-2-3*K.1,-2,-2,-2,4,1,1,-2,1+3*K.1,-2-3*K.1,1,-2,-2,1+3*K.1,-2-3*K.1,1,1,1,1,0,0,0,0,-2*K.1,-2*K.1^-1,-2,-2,-2,-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2,1,-2*K.1,-2*K.1^-1,K.1^-1,K.1,2,0,0,2*K.1,2*K.1^-1,1,-2,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,K.1,1,1,K.1,K.1^-1,-2*K.1,-2*K.1^-1,2,0,-1,0,-1,0,0,2,0,0,-1*K.1,-1*K.1^-1,0,0,0,0,2+3*K.1,-1-3*K.1,2*K.1,2*K.1^-1,-1,-1,0,-1*K.1,-1*K.1^-1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,-2,-4,0,0,2,-2,4,4,-2,-2,-2,-2,4,1,-2,-2,1+3*K.1,-2-3*K.1,1,4,1,1+3*K.1,-2-3*K.1,-2-3*K.1,1+3*K.1,1+3*K.1,-2-3*K.1,1,1,-2-3*K.1,1+3*K.1,-2,-2,-2,4,1,1,-2,-2-3*K.1,1+3*K.1,1,-2,-2,-2-3*K.1,1+3*K.1,1,1,1,1,0,0,0,0,-2*K.1^-1,-2*K.1,-2,-2,-2,-2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2,1,-2*K.1^-1,-2*K.1,K.1,K.1^-1,2,0,0,2*K.1^-1,2*K.1,1,-2,1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,1,1,K.1^-1,K.1,-2*K.1^-1,-2*K.1,2,0,-1,0,-1,0,0,2,0,0,-1*K.1^-1,-1*K.1,0,0,0,0,-1-3*K.1,2+3*K.1,2*K.1^-1,2*K.1,-1,-1,0,-1*K.1^-1,-1*K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,-2,0,0,-4,2,-2,4,4,-2,-2,-2,-2,1,4,-2-3*K.1,1+3*K.1,-2,-2,1,1,4,1+3*K.1,-2-3*K.1,-2-3*K.1,1+3*K.1,-2,-2,1,1,-2-3*K.1,1+3*K.1,-2-3*K.1,1+3*K.1,4,-2,-2,1,1,1+3*K.1,-2-3*K.1,-2,-2,1,1,1,1,1,1+3*K.1,-2-3*K.1,0,0,0,0,-2*K.1^-1,-2*K.1,-2,-2,-2,-2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,1,-2,K.1^-1,K.1,-2*K.1,-2*K.1^-1,0,0,2,2*K.1,2*K.1^-1,1,1,-2,K.1,K.1^-1,K.1^-1,K.1,-2*K.1,-2*K.1^-1,1,1,K.1^-1,K.1,K.1^-1,K.1,0,2,2,-1,0,0,0,-1,0,0,2*K.1,2*K.1^-1,0,0,-1-3*K.1,2+3*K.1,0,0,-1*K.1,-1*K.1^-1,0,-1,-1,-1*K.1,-1*K.1^-1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,-2,0,0,-4,2,-2,4,4,-2,-2,-2,-2,1,4,1+3*K.1,-2-3*K.1,-2,-2,1,1,4,-2-3*K.1,1+3*K.1,1+3*K.1,-2-3*K.1,-2,-2,1,1,1+3*K.1,-2-3*K.1,1+3*K.1,-2-3*K.1,4,-2,-2,1,1,-2-3*K.1,1+3*K.1,-2,-2,1,1,1,1,1,-2-3*K.1,1+3*K.1,0,0,0,0,-2*K.1,-2*K.1^-1,-2,-2,-2,-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,1,-2,K.1,K.1^-1,-2*K.1^-1,-2*K.1,0,0,2,2*K.1^-1,2*K.1,1,1,-2,K.1^-1,K.1,K.1,K.1^-1,-2*K.1^-1,-2*K.1,1,1,K.1,K.1^-1,K.1,K.1^-1,0,2,2,-1,0,0,0,-1,0,0,2*K.1^-1,2*K.1,0,0,2+3*K.1,-1-3*K.1,0,0,-1*K.1^-1,-1*K.1,0,-1,-1,-1*K.1^-1,-1*K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,2,-4,0,0,-2,-2,4,4,-2,-2,-2,-2,4,1,-2,-2,-2-3*K.1,1+3*K.1,1,4,1,-2-3*K.1,1+3*K.1,1+3*K.1,-2-3*K.1,-2-3*K.1,1+3*K.1,1,1,1+3*K.1,-2-3*K.1,-2,-2,-2,4,1,1,-2,1+3*K.1,-2-3*K.1,1,-2,-2,1+3*K.1,-2-3*K.1,1,1,1,1,0,0,0,0,2*K.1,2*K.1^-1,2,2,2,2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2,-1,2*K.1,2*K.1^-1,-1*K.1^-1,-1*K.1,2,0,0,-2*K.1,-2*K.1^-1,-1,2,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1,-1*K.1,-1*K.1^-1,2*K.1,2*K.1^-1,2,0,1,0,-1,0,0,-2,0,0,K.1,K.1^-1,0,0,0,0,2+3*K.1,-1-3*K.1,-2*K.1,-2*K.1^-1,-1,1,0,K.1,K.1^-1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,2,-4,0,0,-2,-2,4,4,-2,-2,-2,-2,4,1,-2,-2,1+3*K.1,-2-3*K.1,1,4,1,1+3*K.1,-2-3*K.1,-2-3*K.1,1+3*K.1,1+3*K.1,-2-3*K.1,1,1,-2-3*K.1,1+3*K.1,-2,-2,-2,4,1,1,-2,-2-3*K.1,1+3*K.1,1,-2,-2,-2-3*K.1,1+3*K.1,1,1,1,1,0,0,0,0,2*K.1^-1,2*K.1,2,2,2,2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2,-1,2*K.1^-1,2*K.1,-1*K.1,-1*K.1^-1,2,0,0,-2*K.1^-1,-2*K.1,-1,2,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,2*K.1^-1,2*K.1,2,0,1,0,-1,0,0,-2,0,0,K.1^-1,K.1,0,0,0,0,-1-3*K.1,2+3*K.1,-2*K.1^-1,-2*K.1,-1,1,0,K.1^-1,K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,2,0,0,-4,-2,-2,4,4,-2,-2,-2,-2,1,4,-2-3*K.1,1+3*K.1,-2,-2,1,1,4,1+3*K.1,-2-3*K.1,-2-3*K.1,1+3*K.1,-2,-2,1,1,-2-3*K.1,1+3*K.1,-2-3*K.1,1+3*K.1,4,-2,-2,1,1,1+3*K.1,-2-3*K.1,-2,-2,1,1,1,1,1,1+3*K.1,-2-3*K.1,0,0,0,0,2*K.1^-1,2*K.1,2,2,2,2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,-1,2,-1*K.1^-1,-1*K.1,2*K.1,2*K.1^-1,0,0,2,-2*K.1,-2*K.1^-1,-1,-1,2,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,2*K.1,2*K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1,0,2,-2,-1,0,0,0,1,0,0,-2*K.1,-2*K.1^-1,0,0,-1-3*K.1,2+3*K.1,0,0,K.1,K.1^-1,0,1,-1,K.1,K.1^-1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |4,2,0,0,-4,-2,-2,4,4,-2,-2,-2,-2,1,4,1+3*K.1,-2-3*K.1,-2,-2,1,1,4,-2-3*K.1,1+3*K.1,1+3*K.1,-2-3*K.1,-2,-2,1,1,1+3*K.1,-2-3*K.1,1+3*K.1,-2-3*K.1,4,-2,-2,1,1,-2-3*K.1,1+3*K.1,-2,-2,1,1,1,1,1,-2-3*K.1,1+3*K.1,0,0,0,0,2*K.1,2*K.1^-1,2,2,2,2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,-1,2,-1*K.1,-1*K.1^-1,2*K.1^-1,2*K.1,0,0,2,-2*K.1^-1,-2*K.1,-1,-1,2,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,2*K.1^-1,2*K.1,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,0,2,-2,-1,0,0,0,1,0,0,-2*K.1^-1,-2*K.1,0,0,2+3*K.1,-1-3*K.1,0,0,K.1^-1,K.1,0,1,-1,K.1^-1,K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[8, 0, 0, 0, 8, 0, -4, 8, 8, -4, -4, -4, -4, -4, 8, 2, 2, -4, -4, -4, -4, 8, 2, 2, 2, 2, -4, -4, -4, -4, 2, 2, 2, 2, 8, 2, -4, -4, -1, 2, 2, 2, 2, -4, -1, -1, -1, -1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, 8, 0, 0, 0, -4, 8, 8, -4, -4, -4, -4, 8, -4, -4, -4, 2, 2, -4, 8, -4, 2, 2, 2, 2, 2, 2, -4, -4, 2, 2, -4, -4, 2, 8, -1, -4, -4, 2, 2, -4, 2, 2, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, 0, 0, 0, 4, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, -4, 2, 2, -4, -4, -4, -4, 2, 2, -4, -4, -4, -4, 2, 2, -4, -4, -4, 5, -4, 5, 5, -1, 2, -1, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 1, 0, 1, 1, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 4, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 5, 2, 2, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 2, 2, -4, -4, -4, -4, -4, -4, -4, -1, 2, -1, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 1, -2, -2, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, -4, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 5, 2, 2, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 2, 2, -4, -4, -4, -4, -4, -4, -4, -1, 2, -1, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, 0, 0, 0, -4, 8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, -4, 2, 2, -4, -4, -4, -4, 2, 2, -4, -4, -4, -4, 2, 2, -4, -4, -4, 5, -4, 5, 5, -1, 2, -1, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, -1, 0, -1, -1, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, -8, 0, 0, 0, -4, 8, 8, -4, -4, -4, -4, 8, -4, -4, -4, 2, 2, -4, 8, -4, 2, 2, 2, 2, 2, 2, -4, -4, 2, 2, -4, -4, 2, 8, -1, -4, -4, 2, 2, -4, 2, 2, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
x := CR!\[8, 0, 0, 0, -8, 0, -4, 8, 8, -4, -4, -4, -4, -4, 8, 2, 2, -4, -4, -4, -4, 8, 2, 2, 2, 2, -4, -4, -4, -4, 2, 2, 2, 2, 8, 2, -4, -4, -1, 2, 2, 2, 2, -4, -1, -1, -1, -1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |8,0,0,0,0,4,-4,8,8,-4,-4,-4,-4,2,2,-4-6*K.1,2+6*K.1,-4-6*K.1,2+6*K.1,-4,2,2,2,2,2,2,-4-6*K.1,2+6*K.1,-4,-4,2,2,-4-6*K.1,2+6*K.1,-4,-4,2,5,2,-1+3*K.1,-4-3*K.1,-1,2,-1,-1-3*K.1,2+3*K.1,-1,-1,-1-3*K.1,2+3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1,4*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,-2,0,0,-2*K.1,-2*K.1^-1,0,0,0,0,0,0,-2*K.1,-2*K.1^-1,0,1,0,K.1,K.1^-1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |8,0,0,0,0,4,-4,8,8,-4,-4,-4,-4,2,2,2+6*K.1,-4-6*K.1,2+6*K.1,-4-6*K.1,-4,2,2,2,2,2,2,2+6*K.1,-4-6*K.1,-4,-4,2,2,2+6*K.1,-4-6*K.1,-4,-4,2,5,2,-4-3*K.1,-1+3*K.1,-1,2,-1,2+3*K.1,-1-3*K.1,-1,-1,2+3*K.1,-1-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1^-1,4*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,-2,0,0,-2*K.1^-1,-2*K.1,0,0,0,0,0,0,-2*K.1^-1,-2*K.1,0,1,0,K.1^-1,K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |8,4,0,0,0,0,-4,8,8,-4,-4,-4,-4,2,2,-4-6*K.1,2+6*K.1,2+6*K.1,-4-6*K.1,5,2,2,-1+3*K.1,-4-3*K.1,-4-3*K.1,-1+3*K.1,2+6*K.1,-4-6*K.1,5,5,-4-3*K.1,-1+3*K.1,-4-6*K.1,2+6*K.1,-4,-4,2,-4,2,2,2,-1,2,-1,2+3*K.1,-1-3*K.1,-1,-1,-1-3*K.1,2+3*K.1,0,0,0,0,4*K.1^-1,4*K.1,4,4,4,4,4*K.1^-1,4*K.1,4*K.1,4*K.1^-1,4*K.1,4*K.1^-1,4*K.1,4*K.1^-1,-2,-2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,0,0,0,0,0,1,-2,-2,K.1,K.1^-1,K.1^-1,K.1,-2*K.1,-2*K.1^-1,1,1,K.1^-1,K.1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |8,4,0,0,0,0,-4,8,8,-4,-4,-4,-4,2,2,2+6*K.1,-4-6*K.1,-4-6*K.1,2+6*K.1,5,2,2,-4-3*K.1,-1+3*K.1,-1+3*K.1,-4-3*K.1,-4-6*K.1,2+6*K.1,5,5,-1+3*K.1,-4-3*K.1,2+6*K.1,-4-6*K.1,-4,-4,2,-4,2,2,2,-1,2,-1,-1-3*K.1,2+3*K.1,-1,-1,2+3*K.1,-1-3*K.1,0,0,0,0,4*K.1,4*K.1^-1,4,4,4,4,4*K.1,4*K.1^-1,4*K.1^-1,4*K.1,4*K.1^-1,4*K.1,4*K.1^-1,4*K.1,-2,-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,0,0,0,0,0,1,-2,-2,K.1^-1,K.1,K.1,K.1^-1,-2*K.1^-1,-2*K.1,1,1,K.1,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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |8,-4,0,0,0,0,-4,8,8,-4,-4,-4,-4,2,2,-4-6*K.1,2+6*K.1,2+6*K.1,-4-6*K.1,5,2,2,-1+3*K.1,-4-3*K.1,-4-3*K.1,-1+3*K.1,2+6*K.1,-4-6*K.1,5,5,-4-3*K.1,-1+3*K.1,-4-6*K.1,2+6*K.1,-4,-4,2,-4,2,2,2,-1,2,-1,2+3*K.1,-1-3*K.1,-1,-1,-1-3*K.1,2+3*K.1,0,0,0,0,-4*K.1^-1,-4*K.1,-4,-4,-4,-4,-4*K.1^-1,-4*K.1,-4*K.1,-4*K.1^-1,-4*K.1,-4*K.1^-1,-4*K.1,-4*K.1^-1,2,2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,0,0,0,0,0,-1,2,2,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,2*K.1,2*K.1^-1,-1,-1,-1*K.1^-1,-1*K.1,2*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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |8,-4,0,0,0,0,-4,8,8,-4,-4,-4,-4,2,2,2+6*K.1,-4-6*K.1,-4-6*K.1,2+6*K.1,5,2,2,-4-3*K.1,-1+3*K.1,-1+3*K.1,-4-3*K.1,-4-6*K.1,2+6*K.1,5,5,-1+3*K.1,-4-3*K.1,2+6*K.1,-4-6*K.1,-4,-4,2,-4,2,2,2,-1,2,-1,-1-3*K.1,2+3*K.1,-1,-1,2+3*K.1,-1-3*K.1,0,0,0,0,-4*K.1,-4*K.1^-1,-4,-4,-4,-4,-4*K.1,-4*K.1^-1,-4*K.1^-1,-4*K.1,-4*K.1^-1,-4*K.1,-4*K.1^-1,-4*K.1,2,2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,0,0,0,0,0,-1,2,2,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,2*K.1^-1,2*K.1,-1,-1,-1*K.1,-1*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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |8,0,0,0,0,-4,-4,8,8,-4,-4,-4,-4,2,2,-4-6*K.1,2+6*K.1,-4-6*K.1,2+6*K.1,-4,2,2,2,2,2,2,-4-6*K.1,2+6*K.1,-4,-4,2,2,-4-6*K.1,2+6*K.1,-4,-4,2,5,2,-1+3*K.1,-4-3*K.1,-1,2,-1,-1-3*K.1,2+3*K.1,-1,-1,-1-3*K.1,2+3*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,-4*K.1,-4*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,2*K.1,2*K.1^-1,0,0,0,0,0,0,2*K.1,2*K.1^-1,0,-1,0,-1*K.1,-1*K.1^-1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |8,0,0,0,0,-4,-4,8,8,-4,-4,-4,-4,2,2,2+6*K.1,-4-6*K.1,2+6*K.1,-4-6*K.1,-4,2,2,2,2,2,2,2+6*K.1,-4-6*K.1,-4,-4,2,2,2+6*K.1,-4-6*K.1,-4,-4,2,5,2,-4-3*K.1,-1+3*K.1,-1,2,-1,2+3*K.1,-1-3*K.1,-1,-1,2+3*K.1,-1-3*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,-4*K.1^-1,-4*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,2*K.1^-1,2*K.1,0,0,0,0,0,0,2*K.1^-1,2*K.1,0,-1,0,-1*K.1^-1,-1*K.1,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[12, 8, 0, 4, 0, 0, 12, 3, -6, 3, 3, -6, -6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 6, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 5, -1, -4, -4, 5, 5, -1, -1, -4, -4, -4, -4, 2, 2, 2, 2, 2, 2, 0, 4, 0, 0, 0, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, 0, -2, 1, 0, -2, -2, 0, 0, 1, 1, 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!\[12, -8, 0, 4, 0, 0, 12, 3, -6, 3, 3, -6, -6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 6, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -5, 1, 4, 4, -5, -5, 1, 1, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, 0, 4, 0, 0, 0, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 0, 0, 0, 0, 0, -2, 1, 0, -2, -2, 0, 0, 1, 1, 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!\[12, 4, 0, -4, 0, 0, 12, 3, -6, 3, 3, -6, -6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 6, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 7, -5, -2, -2, 7, 7, -5, -5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, -4, 0, 0, 0, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 0, 0, 0, 0, 0, 2, -1, 0, 2, 2, 0, 0, -1, -1, 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!\[12, -4, 0, -4, 0, 0, 12, 3, -6, 3, 3, -6, -6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 6, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -7, 5, 2, 2, -7, -7, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, -4, 0, 0, 0, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, 0, 2, -1, 0, 2, 2, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |12,8,0,4,0,0,-6,3,-6,-6-9*K.1,3+9*K.1,3,3,6,6,6*K.1,6*K.1^-1,6*K.1^-1,6*K.1,6,-3,-3,-3*K.1^-1,-3*K.1,-3*K.1,-3*K.1^-1,-3*K.1^-1,-3*K.1,-3,-3,6*K.1,6*K.1^-1,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2+4*K.1,-6-4*K.1,5,-1,-4,-4,1+7*K.1,-6-7*K.1,3+5*K.1,-2-5*K.1,3+2*K.1,1-2*K.1,3+2*K.1,1-2*K.1,2,2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,0,-2,0,0,0,2,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1,2*K.1^-1,2*K.1,-1*K.1^-1,-1*K.1,0,0,0,0,0,-2,1,0,1,1,0,0,1+3*K.1,-2-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |12,8,0,4,0,0,-6,3,-6,3+9*K.1,-6-9*K.1,3,3,6,6,6*K.1^-1,6*K.1,6*K.1,6*K.1^-1,6,-3,-3,-3*K.1,-3*K.1^-1,-3*K.1^-1,-3*K.1,-3*K.1,-3*K.1^-1,-3,-3,6*K.1^-1,6*K.1,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-6-4*K.1,-2+4*K.1,5,-1,-4,-4,-6-7*K.1,1+7*K.1,-2-5*K.1,3+5*K.1,1-2*K.1,3+2*K.1,1-2*K.1,3+2*K.1,2,2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,0,-2,0,0,0,2,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1,2*K.1,2*K.1^-1,-1*K.1,-1*K.1^-1,0,0,0,0,0,-2,1,0,1,1,0,0,-2-3*K.1,1+3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |12,-8,0,4,0,0,-6,3,-6,-6-9*K.1,3+9*K.1,3,3,6,6,6*K.1,6*K.1^-1,6*K.1^-1,6*K.1,6,-3,-3,-3*K.1^-1,-3*K.1,-3*K.1,-3*K.1^-1,-3*K.1^-1,-3*K.1,-3,-3,6*K.1,6*K.1^-1,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2-4*K.1,6+4*K.1,-5,1,4,4,-1-7*K.1,6+7*K.1,-3-5*K.1,2+5*K.1,-3-2*K.1,-1+2*K.1,-3-2*K.1,-1+2*K.1,-2,-2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,0,-2,0,0,0,-2,1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,1,1,-2*K.1^-1,-2*K.1,K.1^-1,K.1,0,0,0,0,0,-2,1,0,1,1,0,0,1+3*K.1,-2-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |12,-8,0,4,0,0,-6,3,-6,3+9*K.1,-6-9*K.1,3,3,6,6,6*K.1^-1,6*K.1,6*K.1,6*K.1^-1,6,-3,-3,-3*K.1,-3*K.1^-1,-3*K.1^-1,-3*K.1,-3*K.1,-3*K.1^-1,-3,-3,6*K.1^-1,6*K.1,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6+4*K.1,2-4*K.1,-5,1,4,4,6+7*K.1,-1-7*K.1,2+5*K.1,-3-5*K.1,-1+2*K.1,-3-2*K.1,-1+2*K.1,-3-2*K.1,-2,-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,0,-2,0,0,0,-2,1,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,K.1,1,1,-2*K.1,-2*K.1^-1,K.1,K.1^-1,0,0,0,0,0,-2,1,0,1,1,0,0,-2-3*K.1,1+3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |12,-4,0,-4,0,0,-6,3,-6,-6-9*K.1,3+9*K.1,3,3,6,6,6*K.1,6*K.1^-1,6*K.1^-1,6*K.1,6,-3,-3,-3*K.1^-1,-3*K.1,-3*K.1,-3*K.1^-1,-3*K.1^-1,-3*K.1,-3,-3,6*K.1,6*K.1^-1,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2-8*K.1,6+8*K.1,-7,5,2,2,1-5*K.1,6+5*K.1,-3-K.1,-2+K.1,-3-4*K.1,1+4*K.1,-3-4*K.1,1+4*K.1,2,2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,0,2,0,0,0,2,-1,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1,2*K.1^-1,2*K.1,-1*K.1^-1,-1*K.1,0,0,0,0,0,2,-1,0,-1,-1,0,0,-1-3*K.1,2+3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |12,-4,0,-4,0,0,-6,3,-6,3+9*K.1,-6-9*K.1,3,3,6,6,6*K.1^-1,6*K.1,6*K.1,6*K.1^-1,6,-3,-3,-3*K.1,-3*K.1^-1,-3*K.1^-1,-3*K.1,-3*K.1,-3*K.1^-1,-3,-3,6*K.1^-1,6*K.1,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6+8*K.1,-2-8*K.1,-7,5,2,2,6+5*K.1,1-5*K.1,-2+K.1,-3-K.1,1+4*K.1,-3-4*K.1,1+4*K.1,-3-4*K.1,2,2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,0,2,0,0,0,2,-1,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1,2*K.1,2*K.1^-1,-1*K.1,-1*K.1^-1,0,0,0,0,0,2,-1,0,-1,-1,0,0,2+3*K.1,-1-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |12,4,0,-4,0,0,-6,3,-6,-6-9*K.1,3+9*K.1,3,3,6,6,6*K.1,6*K.1^-1,6*K.1^-1,6*K.1,6,-3,-3,-3*K.1^-1,-3*K.1,-3*K.1,-3*K.1^-1,-3*K.1^-1,-3*K.1,-3,-3,6*K.1,6*K.1^-1,-3*K.1,-3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2+8*K.1,-6-8*K.1,7,-5,-2,-2,-1+5*K.1,-6-5*K.1,3+K.1,2-K.1,3+4*K.1,-1-4*K.1,3+4*K.1,-1-4*K.1,-2,-2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,0,2,0,0,0,-2,1,1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,1,1,-2*K.1^-1,-2*K.1,K.1^-1,K.1,0,0,0,0,0,2,-1,0,-1,-1,0,0,-1-3*K.1,2+3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |12,4,0,-4,0,0,-6,3,-6,3+9*K.1,-6-9*K.1,3,3,6,6,6*K.1^-1,6*K.1,6*K.1,6*K.1^-1,6,-3,-3,-3*K.1,-3*K.1^-1,-3*K.1^-1,-3*K.1,-3*K.1,-3*K.1^-1,-3,-3,6*K.1^-1,6*K.1,-3*K.1^-1,-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-6-8*K.1,2+8*K.1,7,-5,-2,-2,-6-5*K.1,-1+5*K.1,2-K.1,3+K.1,-1-4*K.1,3+4*K.1,-1-4*K.1,3+4*K.1,-2,-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,0,2,0,0,0,-2,1,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,K.1,1,1,-2*K.1,-2*K.1^-1,K.1,K.1^-1,0,0,0,0,0,2,-1,0,-1,-1,0,0,2+3*K.1,-1-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[16, 0, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, 16, -8, -8, -8, -8, -8, -8, 4, -8, -8, 4, 4, 4, 4, -8, -8, 4, 4, 4, 4, -8, -8, 4, 4, 4, 4, 4, 4, 4, -2, 1, -2, -2, -2, 1, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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!\[16, 0, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, 16, -8, 4, -8, -8, 4, 4, -2, -8, 4, -2, -2, -2, -2, 4, 4, -2, -2, -2, -2, -8, -8, -8, 4, -8, -2, 4, -2, -2, 1, -2, 4, 1, 1, -2, -2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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!\[16, 0, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, 16, 4, -8, 4, 4, -8, -8, -2, 4, -8, -2, -2, -2, -2, -8, -8, -2, -2, -2, -2, 4, 4, 4, -8, 4, -2, -8, -2, -2, 4, -2, 1, 4, 4, -2, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |16,0,0,0,0,0,-8,16,16,-8,-8,-8,-8,-8,-8,4,4,4,4,4,-8,-8,-2,-2,-2,-2,4,4,4,4,-2,-2,4,4,4,4,-2,4,-2,-2,-2,-2,1,-2,1,1,-5-9*K.1,4+9*K.1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |16,0,0,0,0,0,-8,16,16,-8,-8,-8,-8,-8,-8,4,4,4,4,4,-8,-8,-2,-2,-2,-2,4,4,4,4,-2,-2,4,4,4,4,-2,4,-2,-2,-2,-2,1,-2,1,1,4+9*K.1,-5-9*K.1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |16,0,0,0,0,0,-8,16,16,-8,-8,-8,-8,-8,4,4,4,-8-12*K.1,4+12*K.1,-2,-8,4,4+6*K.1,-2-6*K.1,-2-6*K.1,4+6*K.1,-8-12*K.1,4+12*K.1,-2,-2,-2-6*K.1,4+6*K.1,4,4,-8,4,4,-2,-2,-2-6*K.1,4+6*K.1,1,-2,4,1+3*K.1,-2-3*K.1,1,1,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |16,0,0,0,0,0,-8,16,16,-8,-8,-8,-8,-8,4,4,4,4+12*K.1,-8-12*K.1,-2,-8,4,-2-6*K.1,4+6*K.1,4+6*K.1,-2-6*K.1,4+12*K.1,-8-12*K.1,-2,-2,4+6*K.1,-2-6*K.1,4,4,-8,4,4,-2,-2,4+6*K.1,-2-6*K.1,1,-2,4,-2-3*K.1,1+3*K.1,1,1,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |16,0,0,0,0,0,-8,16,16,-8,-8,-8,-8,4,-8,-8-12*K.1,4+12*K.1,4,4,-2,4,-8,-2-6*K.1,4+6*K.1,4+6*K.1,-2-6*K.1,4,4,-2,-2,4+6*K.1,-2-6*K.1,-8-12*K.1,4+12*K.1,4,-8,-2,-2,4,-2-6*K.1,4+6*K.1,4,-2,1,-2,-2,1,1,1+3*K.1,-2-3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |16,0,0,0,0,0,-8,16,16,-8,-8,-8,-8,4,-8,4+12*K.1,-8-12*K.1,4,4,-2,4,-8,4+6*K.1,-2-6*K.1,-2-6*K.1,4+6*K.1,4,4,-2,-2,-2-6*K.1,4+6*K.1,4+12*K.1,-8-12*K.1,4,-8,-2,-2,4,4+6*K.1,-2-6*K.1,4,-2,1,-2,-2,1,1,-2-3*K.1,1+3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[24, 4, 0, 0, 0, 0, 24, 6, -12, 6, 6, -12, -12, -6, 12, -6, -6, 12, 12, -6, 3, -6, 3, 3, 3, 3, -6, -6, 3, 3, -6, -6, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -2, 4, -2, -2, -2, -2, 4, 4, -2, -2, -2, -2, -2, 4, -2, -2, 4, 4, 0, 0, 0, 0, 0, -2, 1, -2, 1, 1, 1, 1, -2, -2, 1, 1, -2, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, 4, 0, 0, 0, 0, 24, 6, -12, 6, 6, -12, -12, 12, -6, 12, 12, -6, -6, -6, -6, 3, 3, 3, 3, 3, 3, 3, 3, 3, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -2, 4, -2, -2, -2, -2, 4, 4, -2, -2, -2, -2, 4, -2, 4, 4, -2, -2, 0, 0, 0, 0, 0, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, -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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, -4, 0, 0, 0, 0, 24, 6, -12, 6, 6, -12, -12, -6, 12, -6, -6, 12, 12, -6, 3, -6, 3, 3, 3, 3, -6, -6, 3, 3, -6, -6, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 2, -4, 2, 2, 2, 2, -4, -4, 2, 2, 2, 2, 2, -4, 2, 2, -4, -4, 0, 0, 0, 0, 0, 2, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, -4, 0, 0, 0, 0, 24, 6, -12, 6, 6, -12, -12, 12, -6, 12, 12, -6, -6, -6, -6, 3, 3, 3, 3, 3, 3, 3, 3, 3, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 2, -4, 2, 2, 2, 2, -4, -4, 2, 2, 2, 2, -4, 2, -4, -4, 2, 2, 0, 0, 0, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,4,0,0,0,0,-12,6,-12,-12-18*K.1,6+18*K.1,6,6,-6,-6,-6*K.1,-6*K.1^-1,-6*K.1^-1,-6*K.1,3,3,3,-3+6*K.1,-9-6*K.1,9+3*K.1,6-3*K.1,3*K.1^-1,3*K.1,-6-9*K.1,3+9*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1^-1,4*K.1,-2,4,-2,-2,-2*K.1^-1,-2*K.1,4*K.1,4*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2,-2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,0,0,0,0,0,1,1,1,-3-2*K.1,-1+2*K.1,2-K.1,3+K.1,K.1,K.1^-1,1+3*K.1,-2-3*K.1,K.1^-1,K.1,K.1^-1,K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,4,0,0,0,0,-12,6,-12,6+18*K.1,-12-18*K.1,6,6,-6,-6,-6*K.1^-1,-6*K.1,-6*K.1,-6*K.1^-1,3,3,3,-9-6*K.1,-3+6*K.1,6-3*K.1,9+3*K.1,3*K.1,3*K.1^-1,3+9*K.1,-6-9*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1,4*K.1^-1,-2,4,-2,-2,-2*K.1,-2*K.1^-1,4*K.1^-1,4*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2,-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,0,0,0,0,0,1,1,1,-1+2*K.1,-3-2*K.1,3+K.1,2-K.1,K.1^-1,K.1,-2-3*K.1,1+3*K.1,K.1,K.1^-1,K.1,K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,4,0,0,0,0,-12,6,-12,-12-18*K.1,6+18*K.1,6,6,-6,-6,-6*K.1,-6*K.1^-1,-6*K.1^-1,-6*K.1,3,3,3,6-3*K.1,9+3*K.1,-9-6*K.1,-3+6*K.1,3*K.1^-1,3*K.1,3+9*K.1,-6-9*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1^-1,4*K.1,-2,4,-2,-2,-2*K.1^-1,-2*K.1,4*K.1,4*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2,-2,-2*K.1^-1,-2*K.1,-2*K.1,-2*K.1^-1,0,0,0,0,0,1,1,1,3+K.1,2-K.1,-1+2*K.1,-3-2*K.1,K.1,K.1^-1,-2-3*K.1,1+3*K.1,K.1^-1,K.1,K.1^-1,K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,4,0,0,0,0,-12,6,-12,6+18*K.1,-12-18*K.1,6,6,-6,-6,-6*K.1^-1,-6*K.1,-6*K.1,-6*K.1^-1,3,3,3,9+3*K.1,6-3*K.1,-3+6*K.1,-9-6*K.1,3*K.1,3*K.1^-1,-6-9*K.1,3+9*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1,4*K.1^-1,-2,4,-2,-2,-2*K.1,-2*K.1^-1,4*K.1^-1,4*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2,-2,-2*K.1,-2*K.1^-1,-2*K.1^-1,-2*K.1,0,0,0,0,0,1,1,1,2-K.1,3+K.1,-3-2*K.1,-1+2*K.1,K.1^-1,K.1,1+3*K.1,-2-3*K.1,K.1,K.1^-1,K.1,K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,4,0,0,0,0,-12,6,-12,-12-18*K.1,6+18*K.1,6,6,-6,12,-6*K.1,-6*K.1^-1,12*K.1^-1,12*K.1,-6,3,-6,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,-6*K.1^-1,-6*K.1,3,3,-6*K.1,-6*K.1^-1,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1^-1,4*K.1,-2,4,-2,-2,-2*K.1^-1,-2*K.1,4*K.1,4*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2,4,-2*K.1^-1,-2*K.1,4*K.1,4*K.1^-1,0,0,0,0,0,-2,1,-2,K.1,K.1^-1,K.1^-1,K.1,-2*K.1,-2*K.1^-1,1,1,-2*K.1^-1,-2*K.1,K.1^-1,K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,4,0,0,0,0,-12,6,-12,6+18*K.1,-12-18*K.1,6,6,-6,12,-6*K.1^-1,-6*K.1,12*K.1,12*K.1^-1,-6,3,-6,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,-6*K.1,-6*K.1^-1,3,3,-6*K.1^-1,-6*K.1,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1,4*K.1^-1,-2,4,-2,-2,-2*K.1,-2*K.1^-1,4*K.1^-1,4*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2,4,-2*K.1,-2*K.1^-1,4*K.1^-1,4*K.1,0,0,0,0,0,-2,1,-2,K.1^-1,K.1,K.1,K.1^-1,-2*K.1^-1,-2*K.1,1,1,-2*K.1,-2*K.1^-1,K.1,K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,4,0,0,0,0,-12,6,-12,-12-18*K.1,6+18*K.1,6,6,12,-6,12*K.1,12*K.1^-1,-6*K.1^-1,-6*K.1,-6,-6,3,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3,3,-6*K.1,-6*K.1^-1,-6*K.1,-6*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1^-1,4*K.1,-2,4,-2,-2,-2*K.1^-1,-2*K.1,4*K.1,4*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,4,-2,4*K.1^-1,4*K.1,-2*K.1,-2*K.1^-1,0,0,0,0,0,-2,-2,1,K.1,K.1^-1,K.1^-1,K.1,K.1,K.1^-1,1,1,-2*K.1^-1,-2*K.1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,4,0,0,0,0,-12,6,-12,6+18*K.1,-12-18*K.1,6,6,12,-6,12*K.1^-1,12*K.1,-6*K.1,-6*K.1^-1,-6,-6,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3,3,-6*K.1^-1,-6*K.1,-6*K.1^-1,-6*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1,4*K.1^-1,-2,4,-2,-2,-2*K.1,-2*K.1^-1,4*K.1^-1,4*K.1,-2*K.1^-1,-2*K.1,-2*K.1^-1,-2*K.1,4,-2,4*K.1,4*K.1^-1,-2*K.1^-1,-2*K.1,0,0,0,0,0,-2,-2,1,K.1^-1,K.1,K.1,K.1^-1,K.1^-1,K.1,1,1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,4,0,0,0,0,24,6,-12,6,6,-12,-12,-6,-6,-6,-6,-6,-6,3,3,3,-6-9*K.1,3+9*K.1,-6-9*K.1,3+9*K.1,3,3,-6-9*K.1,3+9*K.1,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,-2,4,-2,-2,-2,-2,4,4,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,0,0,0,0,0,1,1,1,1+3*K.1,-2-3*K.1,1+3*K.1,-2-3*K.1,1,1,1+3*K.1,-2-3*K.1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,4,0,0,0,0,24,6,-12,6,6,-12,-12,-6,-6,-6,-6,-6,-6,3,3,3,3+9*K.1,-6-9*K.1,3+9*K.1,-6-9*K.1,3,3,3+9*K.1,-6-9*K.1,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,-2,4,-2,-2,-2,-2,4,4,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,0,0,0,0,0,1,1,1,-2-3*K.1,1+3*K.1,-2-3*K.1,1+3*K.1,1,1,-2-3*K.1,1+3*K.1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,-4,0,0,0,0,-12,6,-12,-12-18*K.1,6+18*K.1,6,6,-6,-6,-6*K.1,-6*K.1^-1,-6*K.1^-1,-6*K.1,3,3,3,-3+6*K.1,-9-6*K.1,9+3*K.1,6-3*K.1,3*K.1^-1,3*K.1,-6-9*K.1,3+9*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1^-1,-4*K.1,2,-4,2,2,2*K.1^-1,2*K.1,-4*K.1,-4*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2,2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,0,0,0,0,0,-1,-1,-1,3+2*K.1,1-2*K.1,-2+K.1,-3-K.1,-1*K.1,-1*K.1^-1,-1-3*K.1,2+3*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,-4,0,0,0,0,-12,6,-12,6+18*K.1,-12-18*K.1,6,6,-6,-6,-6*K.1^-1,-6*K.1,-6*K.1,-6*K.1^-1,3,3,3,-9-6*K.1,-3+6*K.1,6-3*K.1,9+3*K.1,3*K.1,3*K.1^-1,3+9*K.1,-6-9*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1,-4*K.1^-1,2,-4,2,2,2*K.1,2*K.1^-1,-4*K.1^-1,-4*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2,2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,0,0,0,0,0,-1,-1,-1,1-2*K.1,3+2*K.1,-3-K.1,-2+K.1,-1*K.1^-1,-1*K.1,2+3*K.1,-1-3*K.1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,-4,0,0,0,0,-12,6,-12,-12-18*K.1,6+18*K.1,6,6,-6,-6,-6*K.1,-6*K.1^-1,-6*K.1^-1,-6*K.1,3,3,3,6-3*K.1,9+3*K.1,-9-6*K.1,-3+6*K.1,3*K.1^-1,3*K.1,3+9*K.1,-6-9*K.1,3*K.1,3*K.1^-1,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1^-1,-4*K.1,2,-4,2,2,2*K.1^-1,2*K.1,-4*K.1,-4*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2,2,2*K.1^-1,2*K.1,2*K.1,2*K.1^-1,0,0,0,0,0,-1,-1,-1,-3-K.1,-2+K.1,1-2*K.1,3+2*K.1,-1*K.1,-1*K.1^-1,2+3*K.1,-1-3*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,-4,0,0,0,0,-12,6,-12,6+18*K.1,-12-18*K.1,6,6,-6,-6,-6*K.1^-1,-6*K.1,-6*K.1,-6*K.1^-1,3,3,3,9+3*K.1,6-3*K.1,-3+6*K.1,-9-6*K.1,3*K.1,3*K.1^-1,-6-9*K.1,3+9*K.1,3*K.1^-1,3*K.1,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1,-4*K.1^-1,2,-4,2,2,2*K.1,2*K.1^-1,-4*K.1^-1,-4*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2,2,2*K.1,2*K.1^-1,2*K.1^-1,2*K.1,0,0,0,0,0,-1,-1,-1,-2+K.1,-3-K.1,3+2*K.1,1-2*K.1,-1*K.1^-1,-1*K.1,-1-3*K.1,2+3*K.1,-1*K.1,-1*K.1^-1,-1*K.1,-1*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,-4,0,0,0,0,-12,6,-12,-12-18*K.1,6+18*K.1,6,6,-6,12,-6*K.1,-6*K.1^-1,12*K.1^-1,12*K.1,-6,3,-6,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,-6*K.1^-1,-6*K.1,3,3,-6*K.1,-6*K.1^-1,3*K.1,3*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1^-1,-4*K.1,2,-4,2,2,2*K.1^-1,2*K.1,-4*K.1,-4*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2,-4,2*K.1^-1,2*K.1,-4*K.1,-4*K.1^-1,0,0,0,0,0,2,-1,2,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,2*K.1,2*K.1^-1,-1,-1,2*K.1^-1,2*K.1,-1*K.1^-1,-1*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,-4,0,0,0,0,-12,6,-12,6+18*K.1,-12-18*K.1,6,6,-6,12,-6*K.1^-1,-6*K.1,12*K.1,12*K.1^-1,-6,3,-6,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,-6*K.1,-6*K.1^-1,3,3,-6*K.1^-1,-6*K.1,3*K.1^-1,3*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1,-4*K.1^-1,2,-4,2,2,2*K.1,2*K.1^-1,-4*K.1^-1,-4*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2,-4,2*K.1,2*K.1^-1,-4*K.1^-1,-4*K.1,0,0,0,0,0,2,-1,2,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,2*K.1^-1,2*K.1,-1,-1,2*K.1,2*K.1^-1,-1*K.1,-1*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,-4,0,0,0,0,-12,6,-12,-12-18*K.1,6+18*K.1,6,6,12,-6,12*K.1,12*K.1^-1,-6*K.1^-1,-6*K.1,-6,-6,3,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3,3,-6*K.1,-6*K.1^-1,-6*K.1,-6*K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1^-1,-4*K.1,2,-4,2,2,2*K.1^-1,2*K.1,-4*K.1,-4*K.1^-1,2*K.1,2*K.1^-1,2*K.1,2*K.1^-1,-4,2,-4*K.1^-1,-4*K.1,2*K.1,2*K.1^-1,0,0,0,0,0,2,2,-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1,-1,2*K.1^-1,2*K.1,2*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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,-4,0,0,0,0,-12,6,-12,6+18*K.1,-12-18*K.1,6,6,12,-6,12*K.1^-1,12*K.1,-6*K.1,-6*K.1^-1,-6,-6,3,3*K.1,3*K.1^-1,3*K.1^-1,3*K.1,3*K.1,3*K.1^-1,3,3,-6*K.1^-1,-6*K.1,-6*K.1^-1,-6*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4*K.1,-4*K.1^-1,2,-4,2,2,2*K.1,2*K.1^-1,-4*K.1^-1,-4*K.1,2*K.1^-1,2*K.1,2*K.1^-1,2*K.1,-4,2,-4*K.1,-4*K.1^-1,2*K.1^-1,2*K.1,0,0,0,0,0,2,2,-1,-1*K.1^-1,-1*K.1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,-1,-1,2*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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,-4,0,0,0,0,24,6,-12,6,6,-12,-12,-6,-6,-6,-6,-6,-6,3,3,3,-6-9*K.1,3+9*K.1,-6-9*K.1,3+9*K.1,3,3,-6-9*K.1,3+9*K.1,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4,-4,2,-4,2,2,2,2,-4,-4,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,-1,-1,-1,-1-3*K.1,2+3*K.1,-1-3*K.1,2+3*K.1,-1,-1,-1-3*K.1,2+3*K.1,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |24,-4,0,0,0,0,24,6,-12,6,6,-12,-12,-6,-6,-6,-6,-6,-6,3,3,3,3+9*K.1,-6-9*K.1,3+9*K.1,-6-9*K.1,3,3,3+9*K.1,-6-9*K.1,3,3,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4,-4,2,-4,2,2,2,2,-4,-4,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,-1,-1,-1,2+3*K.1,-1-3*K.1,2+3*K.1,-1-3*K.1,-1,-1,2+3*K.1,-1-3*K.1,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[36, 12, 0, 4, 0, 0, 36, -18, 9, -18, -18, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, -6, -6, 3, 3, -6, -6, -6, -6, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 1, 1, 0, 0, -2, -2, 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!\[36, -12, 0, 4, 0, 0, 36, -18, 9, -18, -18, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, -12, 6, 6, -3, -3, 6, 6, 6, 6, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 1, 1, 0, 0, -2, -2, 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!\[36, 0, 0, -4, 0, 0, 36, -18, 9, -18, -18, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, -9, -9, 9, 9, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, -1, -1, 0, 0, 2, 2, 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!\[36, 0, 0, -4, 0, 0, 36, -18, 9, -18, -18, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, -9, 0, 0, 0, 0, 9, 9, -9, -9, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, -1, -1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |36,12,0,4,0,0,-18,-18,9,9,9,-18-27*K.1,9+27*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,-6,-6,-6,-6,3,3,3,3,3,3,3+9*K.1,-6-9*K.1,-6-9*K.1,3+9*K.1,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-2,0,-2-3*K.1,1+3*K.1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |36,12,0,4,0,0,-18,-18,9,9,9,9+27*K.1,-18-27*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,-6,-6,-6,-6,3,3,3,3,3,3,-6-9*K.1,3+9*K.1,3+9*K.1,-6-9*K.1,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-2,0,1+3*K.1,-2-3*K.1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |36,-12,0,4,0,0,-18,-18,9,9,9,-18-27*K.1,9+27*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,-3,-3,-3,-3,-3,-3,-3-9*K.1,6+9*K.1,6+9*K.1,-3-9*K.1,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-2,0,-2-3*K.1,1+3*K.1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |36,-12,0,4,0,0,-18,-18,9,9,9,9+27*K.1,-18-27*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,6,6,-3,-3,-3,-3,-3,-3,6+9*K.1,-3-9*K.1,-3-9*K.1,6+9*K.1,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-2,0,1+3*K.1,-2-3*K.1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |36,0,0,-4,0,0,-18,-18,9,9,9,-18-27*K.1,9+27*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6+12*K.1,-6-12*K.1,0,0,-9,9,-3-6*K.1,3+6*K.1,3+6*K.1,-3-6*K.1,3-3*K.1,6+3*K.1,-6-3*K.1,-3+3*K.1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2,0,2+3*K.1,-1-3*K.1,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |36,0,0,-4,0,0,-18,-18,9,9,9,9+27*K.1,-18-27*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,-6-12*K.1,6+12*K.1,0,0,-9,9,3+6*K.1,-3-6*K.1,-3-6*K.1,3+6*K.1,6+3*K.1,3-3*K.1,-3+3*K.1,-6-3*K.1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2,0,-1-3*K.1,2+3*K.1,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |36,0,0,-4,0,0,-18,-18,9,9,9,-18-27*K.1,9+27*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,-6-12*K.1,6+12*K.1,0,0,9,-9,3+6*K.1,-3-6*K.1,-3-6*K.1,3+6*K.1,-3+3*K.1,-6-3*K.1,6+3*K.1,3-3*K.1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2,0,2+3*K.1,-1-3*K.1,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |36,0,0,-4,0,0,-18,-18,9,9,9,9+27*K.1,-18-27*K.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6+12*K.1,-6-12*K.1,0,0,9,-9,-3-6*K.1,3+6*K.1,3+6*K.1,-3-6*K.1,-6-3*K.1,-3+3*K.1,3-3*K.1,6+3*K.1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2,0,-1-3*K.1,2+3*K.1,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
_ := CharacterTable(G : Check := 0); 
chartbl_34992_lp:= KnownIrreducibles(CR);