/* Group 34992.ln downloaded from the LMFDB on 18 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, 2, 3, 3, 3, 3, 3, 3, 338536, 390853, 56, 687854, 200400, 912739, 715102, 257865, 735244, 709515, 172616, 98212, 158, 1717061, 472048, 385731, 203582, 88710, 44369, 974, 3219, 1154755, 64182, 2143689, 1859460, 572911, 214542, 29753, 11944, 438, 2822698, 78429, 705704]); a,b,c,d,e,f,g,h := Explode([GPC.1, GPC.2, GPC.4, GPC.5, GPC.7, GPC.8, GPC.9, GPC.10]); AssignNames(~GPC, ["a", "b", "b2", "c", "d", "d2", "e", "f", "g", "h", "h3"]);
GPerm := PermutationGroup< 24 | (1,4,5,13,11,18,14,3,10,17,2,7,15,8,16,6,9,12)(19,20,22,23,21,24), (1,3,9,17,10,7,14,4,11,13,16,18,15,8,2,6,5,12)(19,20,21,23,22,24), (1,2,5)(3,8,4)(6,7,13,12,17,18)(9,16,14,11,10,15)(21,22)(23,24) >;

 
/* Booleans */
RF := recformat< Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable  : BoolElt >; 
booleans_34992_ln := 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, 9, G!(21,22)(23,24)>,< 2, 54, G!(6,12)(7,17)(9,11)(10,16)(13,18)(14,15)>,< 2, 81, G!(1,2)(3,6)(4,13)(5,10)(8,17)(9,15)(11,14)(12,18)>,< 2, 162, G!(1,8)(2,12)(3,15)(4,14)(5,6)(7,11)(9,18)(10,13)(16,17)(19,20)(21,23)(22,24)>,< 2, 162, G!(1,17)(2,4)(3,9)(5,7)(6,14)(8,11)(10,12)(13,15)(16,18)(19,20)(21,24)(22,23)>,< 2, 486, G!(1,11)(2,14)(4,8)(9,15)(12,18)(13,17)(19,22)(20,23)>,< 2, 729, G!(1,15)(2,5)(3,18)(4,7)(8,12)(9,16)(10,11)(13,17)(19,22)(20,24)>,< 3, 2, G!(19,22,21)(20,24,23)>,< 3, 2, G!(19,22,21)(20,23,24)>,< 3, 4, G!(3,8,4)(6,13,17)(7,12,18)>,< 3, 4, G!(20,24,23)>,< 3, 4, G!(1,14,15)(2,9,11)(3,4,8)(5,10,16)(6,17,13)(7,18,12)>,< 3, 8, G!(1,15,14)(2,11,9)(5,16,10)(19,22,21)>,< 3, 8, G!(1,14,15)(2,9,11)(5,10,16)(20,23,24)>,< 3, 8, G!(1,14,15)(2,9,11)(3,8,4)(5,10,16)(6,13,17)(7,12,18)(19,21,22)(20,23,24)>,< 3, 8, G!(1,15,14)(2,11,9)(3,4,8)(5,16,10)(6,17,13)(7,18,12)(19,22,21)(20,23,24)>,< 3, 8, G!(1,14,15)(2,9,11)(5,10,16)(19,22,21)(20,23,24)>,< 3, 8, G!(3,8,4)(6,13,17)(7,12,18)(19,21,22)(20,23,24)>,< 3, 16, G!(1,14,15)(2,9,11)(3,4,8)(5,10,16)(6,17,13)(7,18,12)(20,23,24)>,< 3, 18, G!(2,11,9)(5,10,16)(6,17,13)(7,12,18)>,< 3, 36, G!(2,9,11)(3,18,6)(4,12,17)(5,10,16)(7,13,8)>,< 3, 36, G!(3,18,13)(4,12,6)(5,16,10)(7,17,8)>,< 3, 36, G!(1,5,9)(2,15,16)(3,8,4)(6,17,13)(7,12,18)(10,11,14)>,< 3, 36, G!(1,15,14)(3,8,4)(5,10,16)(6,17,13)(19,22,21)(20,23,24)>,< 3, 36, G!(2,11,9)(5,10,16)(6,17,13)(7,12,18)(19,22,21)(20,24,23)>,< 3, 72, G!(1,15,14)(2,9,11)(3,4,8)(6,13,17)(19,22,21)>,< 3, 72, G!(1,5,9)(2,15,16)(6,13,17)(10,11,14)(19,21,22)(20,23,24)>,< 3, 72, G!(1,5,2)(6,17,13)(7,18,12)(9,14,10)(11,15,16)(19,21,22)(20,24,23)>,< 3, 72, G!(1,15,14)(3,17,18)(4,13,12)(5,16,10)(6,7,8)(20,24,23)>,< 3, 72, G!(2,11,9)(3,12,6)(4,7,17)(8,18,13)(19,22,21)>,< 3, 72, G!(1,9,16)(2,10,15)(5,14,11)(6,13,17)(7,12,18)(19,22,21)(20,24,23)>,< 3, 72, G!(1,16,2)(3,8,4)(5,9,14)(6,13,17)(7,18,12)(10,11,15)(19,21,22)(20,23,24)>,< 3, 72, G!(2,9,11)(3,6,12)(4,17,7)(8,13,18)(19,21,22)(20,24,23)>,< 3, 72, G!(1,14,15)(2,11,9)(3,17,18)(4,13,12)(5,10,16)(6,7,8)(19,22,21)(20,23,24)>,< 3, 72, G!(1,14,15)(3,13,12)(4,6,7)(8,17,18)(20,23,24)>,< 3, 72, G!(1,9,5)(2,16,15)(3,4,8)(6,13,17)(7,18,12)(10,14,11)(20,24,23)>,< 3, 72, G!(1,14,15)(3,12,6)(4,7,17)(5,10,16)(8,18,13)(19,21,22)>,< 3, 72, G!(1,14,15)(2,9,11)(3,17,12)(4,13,7)(5,16,10)(6,18,8)(20,24,23)>,< 4, 486, G!(1,17,2,8)(3,15,6,9)(4,14,13,11)(5,18,10,12)(7,16)(19,24)(20,21)(22,23)>,< 4, 486, G!(1,6,10,8)(2,18,11,12)(3,14,13,5)(4,15,17,16)(7,9)(19,24)(20,22)(21,23)>,< 6, 36, G!(3,4,8)(6,17,13)(7,18,12)(21,22)(23,24)>,< 6, 36, G!(1,14,15)(2,9,11)(3,4,8)(5,10,16)(6,17,13)(7,18,12)(20,23)(21,22)>,< 6, 108, G!(6,12)(7,17)(9,11)(10,16)(13,18)(14,15)(20,23,24)>,< 6, 108, G!(6,12)(7,17)(9,11)(10,16)(13,18)(14,15)(19,21,22)>,< 6, 108, G!(6,12)(7,17)(9,11)(10,16)(13,18)(14,15)(19,21,22)(20,23,24)>,< 6, 108, G!(6,12)(7,17)(9,11)(10,16)(13,18)(14,15)(19,21,22)(20,24,23)>,< 6, 108, G!(3,4,8)(6,7,13,12,17,18)(9,11)(10,16)(14,15)>,< 6, 108, G!(2,5,9,10,11,16)(3,6,18)(4,13,12,8,17,7)>,< 6, 108, G!(1,2)(3,6,18,4,13,12)(5,10,16)(7,8,17)(9,14)(11,15)>,< 6, 108, G!(1,2,5,15,9,16)(3,7,8,12,4,18)(6,13,17)(10,14,11)>,< 6, 162, G!(2,9,11)(5,16,10)(6,13,17)(7,18,12)(21,22)(23,24)>,< 6, 162, G!(1,2)(3,6)(4,13)(5,10)(8,17)(9,15)(11,14)(12,18)(19,22,21)(20,24,23)>,< 6, 162, G!(1,14)(2,10,11,16,9,5)(3,12,8,7,4,18)(6,13)>,< 6, 162, G!(1,15)(2,16)(4,8)(5,11)(6,18)(7,17)(9,10)(12,13)(19,21,22)(20,24,23)>,< 6, 216, G!(1,10,15,5,14,16)(2,9,11)(4,8)(7,18)(13,17)(19,21,22)>,< 6, 216, G!(1,9,14,11,15,2)(3,4)(5,16,10)(6,17)(7,18)(20,24,23)>,< 6, 216, G!(1,11,5,14,9,10)(2,16,15)(3,12)(4,7)(6,17,13)(8,18)(19,22,21)(20,24,23)>,< 6, 216, G!(1,2,5)(6,18,17,12,13,7)(9,16,14,11,10,15)(19,22,21)(20,23,24)>,< 6, 216, G!(1,16,15,10,14,5)(3,7,17,8,18,6)(4,12,13)(20,23,24)>,< 6, 216, G!(1,5)(2,9,11)(3,6,12)(4,13,7,8,17,18)(10,14)(15,16)(19,21,22)>,< 6, 216, G!(1,10,9,15,16,2)(5,11,14)(6,12,13,18,17,7)(19,21,22)(20,23,24)>,< 6, 216, G!(1,9,16,14,2,5)(3,6,8,13,4,17)(7,12,18)(10,15,11)(19,22,21)(20,24,23)>,< 6, 216, G!(1,5)(2,11,9)(3,18,6,8,12,13)(4,7,17)(10,14)(15,16)(19,22,21)(20,23,24)>,< 6, 216, G!(1,5,14,10,15,16)(2,9,11)(3,7,17,8,18,6)(4,12,13)(19,21,22)(20,24,23)>,< 6, 216, G!(1,15,14)(2,16)(3,18,13,8,12,17)(4,7,6)(5,9)(10,11)(20,24,23)>,< 6, 216, G!(1,5,9)(2,14,16,11,15,10)(3,18,4,12,8,7)(6,17,13)(20,23,24)>,< 6, 216, G!(1,9,14,11,15,2)(4,8)(5,16,10)(12,18)(13,17)(19,21,22)(20,24,23)>,< 6, 216, G!(1,16,14,5,15,10)(3,13,12,8,6,18)(4,17,7)(19,22,21)>,< 6, 216, G!(1,15)(2,9)(3,7,8,12,4,18)(5,16)(6,17,13)(19,22,21)(20,24,23)>,< 6, 216, G!(1,2,14,9,15,11)(3,12,17)(4,18,13,8,7,6)(5,10,16)(20,23,24)>,< 6, 324, G!(1,4,15,8,14,3)(2,18,11,12,9,7)(5,13,16,6,10,17)(19,20)(21,23)(22,24)>,< 6, 324, G!(1,6,15,17,14,13)(2,3,11,4,9,8)(5,12,16,7,10,18)(19,20)(21,24)(22,23)>,< 6, 324, G!(1,5,15,10,14,16)(2,11)(3,17,8,13,4,6)(12,18)(19,21,22)(20,24,23)>,< 6, 324, G!(1,17)(2,7)(3,10)(4,16)(5,8)(6,15)(9,18)(11,12)(13,14)(19,24,22,20,21,23)>,< 6, 324, G!(1,14)(2,5,11,10,9,16)(3,8)(6,18,17,7,13,12)(19,21,22)(20,23,24)>,< 6, 324, G!(1,16)(3,6)(4,13)(5,15)(7,18)(8,17)(9,11)(10,14)(20,24,23)>,< 6, 324, G!(1,10,9)(2,15,5)(3,4,8)(6,17,13)(11,14,16)(20,23)(21,22)>,< 6, 324, G!(1,4)(2,7)(3,14)(5,6)(8,15)(9,12)(10,13)(11,18)(16,17)(19,20,22,24,21,23)>,< 6, 324, G!(2,11,9)(3,12,6)(4,7,17)(8,18,13)(20,24)(21,22)>,< 6, 324, G!(1,2,10)(3,4,8)(5,15,11)(6,13,17)(7,18,12)(9,16,14)(19,22)(23,24)>,< 6, 648, G!(1,13,14,17,15,6)(2,3,9,8,11,4)(5,7,10,12,16,18)(19,20,21,23,22,24)>,< 6, 648, G!(1,9,15,11,14,2)(3,17,4,6,8,13)(10,16)(12,18)(19,21,22)>,< 6, 648, G!(1,3,15,4,14,8)(2,7,11,18,9,12)(5,17,16,13,10,6)(19,24,22,20,21,23)>,< 6, 972, G!(1,9,14,11,15,2)(3,7,6)(4,12,17,8,18,13)(5,10,16)(19,22)(20,23)>,< 6, 972, G!(1,2,15,11,14,9)(4,8)(5,10,16)(12,18)(13,17)(21,22)(23,24)>,< 6, 972, G!(1,2,16)(3,13)(4,6)(5,15,9,10,14,11)(7,18,12)(8,17)(19,22)(20,23)>,< 6, 972, G!(1,2,15,11,14,9)(3,18,6,4,7,17)(8,12,13)(19,22)(20,23)>,< 6, 1458, G!(1,15)(2,10,9,5,11,16)(3,12,4,18,8,7)(13,17)(19,22)(20,24)>,< 9, 36, G!(1,9,16,15,2,10,14,11,5)(3,18,13,4,12,6,8,7,17)>,< 9, 36, G!(1,16,2,14,5,9,15,10,11)(3,13,12,8,17,18,4,6,7)>,< 9, 36, G!(1,2,5,15,11,16,14,9,10)(3,12,17,4,7,13,8,18,6)>,< 9, 72, G!(1,2,16,15,11,10,14,9,5)(3,7,13,4,18,6,8,12,17)(19,22,21)(20,24,23)>,< 9, 72, G!(1,16,11,14,5,2,15,10,9)(3,13,18,8,17,7,4,6,12)(19,21,22)(20,23,24)>,< 9, 72, G!(1,11,5,15,9,16,14,2,10)(3,18,17,4,12,13,8,7,6)(19,22,21)(20,24,23)>,< 9, 72, G!(1,9,16,15,2,10,14,11,5)(3,12,17,4,7,13,8,18,6)(19,21,22)(20,24,23)>,< 9, 72, G!(1,16,2,14,5,9,15,10,11)(3,17,7,8,6,12,4,13,18)(19,22,21)(20,23,24)>,< 9, 72, G!(1,2,5,15,11,16,14,9,10)(3,7,6,4,18,17,8,12,13)(19,21,22)(20,24,23)>,< 9, 144, G!(1,2,5,14,9,10,15,11,16)(3,6,7,4,17,18,8,13,12)(20,23,24)>,< 9, 144, G!(1,2,5,15,11,16,14,9,10)(3,7,6,4,18,17,8,12,13)(20,23,24)>,< 9, 144, G!(1,2,5,14,9,10,15,11,16)(3,13,18,4,6,12,8,17,7)(20,23,24)>,< 12, 486, G!(1,6,14,13)(2,12,10,8,11,7,16,4,9,18,5,3)(15,17)(19,23)(20,22)(21,24)>,< 12, 486, G!(1,6,14,13)(2,7,5,8,9,12,16,3,11,18,10,4)(15,17)(19,23)(20,22)(21,24)>,< 12, 486, G!(1,18,11,6,15,7,2,17,14,12,9,13)(3,10,8,16)(4,5)(19,24)(20,22)(21,23)>,< 12, 486, G!(1,7,9,6,14,18,2,13,15,12,11,17)(3,10,8,16)(4,5)(19,24)(20,22)(21,23)>,< 12, 972, G!(1,8,2,17)(3,9,6,15)(4,11,13,14)(5,12,10,18)(7,16)(19,20,22,24,21,23)>,< 12, 972, G!(1,4,15,8)(2,13,16,12)(3,14)(5,18,11,6)(7,9,17,10)(19,20,21,24,22,23)>,< 12, 972, G!(1,4,5,6,15,3,10,17,14,8,16,13)(2,12,11,18)(7,9)(19,20,21,24,22,23)>,< 12, 972, G!(1,3,16,6,14,4,10,13,15,8,5,17)(2,12,11,18)(7,9)(19,23,22,24,21,20)>,< 12, 972, G!(1,8,14,3)(2,18,5,17,11,7,10,13,9,12,16,6)(4,15)(19,23,21,24,22,20)>,< 12, 972, G!(1,8,14,3)(2,7,16,17,9,18,10,6,11,12,5,13)(4,15)(19,20,22,24,21,23)>,< 18, 324, G!(1,12,9,6,16,8,15,7,2,17,10,3,14,18,11,13,5,4)(19,20)(21,24)(22,23)>,< 18, 324, G!(1,8,10,13,9,7,14,4,16,17,11,12,15,3,5,6,2,18)(19,20)(21,24)(22,23)>,< 18, 324, G!(1,7,11,6,10,4,15,18,9,17,5,8,14,12,2,13,16,3)(19,20)(21,24)(22,23)>,< 18, 324, G!(1,11,16,14,2,5,15,9,10)(3,13,7,4,6,18,8,17,12)(20,23)(21,22)>,< 18, 324, G!(1,5,11,15,16,9,14,10,2)(3,18,13,8,7,17,4,12,6)(20,23)(21,22)>,< 18, 324, G!(1,9,5,14,11,10,15,2,16)(3,17,18,4,13,12,8,6,7)(20,23)(21,22)>,< 18, 324, G!(1,8,5,12,9,6,15,4,16,18,2,13,14,3,10,7,11,17)(19,24)(20,21)(22,23)>,< 18, 324, G!(1,6,2,7,5,4,14,17,9,18,10,8,15,13,11,12,16,3)(19,24)(20,21)(22,23)>,< 18, 324, G!(1,4,10,12,2,17,15,3,5,18,11,6,14,8,16,7,9,13)(19,24)(20,21)(22,23)>,< 18, 648, G!(1,13,2,4,16,18,15,6,11,8,10,12,14,17,9,3,5,7)(19,23,22,20,21,24)>,< 18, 648, G!(1,18,10,3,2,6,14,7,16,8,9,13,15,12,5,4,11,17)(19,24,21,20,22,23)>,< 18, 648, G!(1,6,9,4,10,7,15,17,2,8,5,18,14,13,11,3,16,12)(19,23,22,20,21,24)>,< 18, 648, G!(1,18,9,6,16,3,15,12,2,17,10,4,14,7,11,13,5,8)(19,23,21,20,22,24)>,< 18, 648, G!(1,3,10,13,9,12,14,8,16,17,11,18,15,4,5,6,2,7)(19,24,22,20,21,23)>,< 18, 648, G!(1,12,11,6,10,8,15,7,9,17,5,3,14,18,2,13,16,4)(19,23,21,20,22,24)>]); 
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]; 
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]; 
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]; 
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]; 
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]; 
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]; 
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]; 
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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 0, 2, 2, 0, 2, 0, 0, 2, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, 2, 2, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 2, 0, 0, -1, -1, 2, -1, 2, 2, 2, 2, 0, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, 0, 2, -1, -1, 2, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 2, 2, 0, -1, -1, -1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 0, 2, 2, 2, 0, 0, 0, -1, 2, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, 2, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 0, 0, 0, -1, -1, -1, 2, 2, 2, 2, 2, 0, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, 2, 0, 2, 0, -1, -1, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, 2, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, -2, 0, -2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, -2, 0, -2, -2, 0, -2, 0, 0, 0, 0, 0, 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, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 2, 0, -2, 0, 0, 0, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 2, 0, 2, 2, 0, -2, 0, 0, 0, 0, 0, -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, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 0, -2, 2, -2, 0, 0, 0, -1, 2, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, 2, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 0, 0, 0, 1, 1, 1, -2, -2, -2, -2, -2, 0, -1, 2, 2, 1, 1, 1, -2, 1, 1, 1, 1, -2, -2, 1, 1, -2, 1, 1, 1, -2, 0, 2, 0, -1, -1, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, 2, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 0, -2, 2, 0, -2, 0, 0, 2, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, 2, 2, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 2, 0, 0, 1, 1, -2, 1, -2, -2, -2, -2, 0, 2, 2, -1, 1, 1, -2, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, -2, 1, 0, -2, -1, 1, 2, -1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 2, 2, 0, -1, -1, -1, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 0, -2, 2, 0, 2, 0, 0, 2, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, 2, 2, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, -2, 0, 0, 1, 1, -2, 1, -2, -2, -2, -2, 0, 2, 2, -1, 1, 1, -2, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, -2, 1, 0, 2, -1, -1, 2, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, -2, -2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 0, -2, 2, 2, 0, 0, 0, -1, 2, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, 2, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -2, 0, 0, 0, 1, 1, 1, -2, -2, -2, -2, -2, 0, -1, 2, 2, 1, 1, 1, -2, 1, 1, 1, 1, -2, -2, 1, 1, -2, 1, 1, 1, 2, 0, 2, 0, -1, -1, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -2, -2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 0, 2, 2, -2, 0, 0, 0, -1, 2, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, 2, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -2, 0, 0, 0, -1, -1, -1, 2, 2, 2, 2, 2, 0, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -2, 0, 2, 0, -1, -1, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -2, -2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 0, 2, 2, 0, -2, 0, 0, 2, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, 2, 2, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, -2, 0, 0, -1, -1, 2, -1, 2, 2, 2, 2, 0, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, 0, -2, -1, 1, 2, -1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, -2, -2, 0, 1, 1, 1, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, 0, 4, 4, 0, 0, 0, 0, -2, -2, 4, 1, 4, 1, 1, -2, -2, -2, -2, 1, 4, 4, 4, 4, -2, -2, 1, -2, -2, 1, 1, -2, -2, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, -2, -2, 4, 4, 4, 4, 0, -2, 4, -2, 1, 1, -2, -2, 1, 1, -2, -2, -2, -2, 1, 1, -2, 1, -2, 1, 0, 0, -2, 0, -2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 4, 4, 4, -2, -2, -2, -2, -2, -2, 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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, 4, 0, 0, 2, 2, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, -2, -2, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 4, 4, 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, 2, 0, 2, 0, 0, -2, 2, -2, -2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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!\[4, 4, 2, 0, 0, 0, 2, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, 2, 2, 2, 2, 2, -1, -1, -1, 4, 0, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, -1, 2, -1, -1, 0, -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, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, 0, 0, -4, 0, 0, 0, 0, -2, 4, 4, -2, 4, -2, -2, -2, 4, 4, -2, -2, 4, 4, 4, 4, 4, -2, -2, -2, 4, -2, -2, -2, -2, 4, 4, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 4, 4, -2, -2, -2, 4, 4, 4, -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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, 0, 0, -4, 0, 0, 0, 0, 4, -2, 4, -2, 4, -2, -2, 4, -2, -2, 4, -2, 4, 4, 4, 4, -2, 4, -2, 4, -2, -2, -2, 4, 4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, 4, -2, 0, 0, 0, -2, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 4, 4, -2, -2, -2, -2, -2, 1, 1, 1, 4, 0, 0, 0, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, -2, 1, 1, 0, -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, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, 4, 0, 0, -2, -2, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, -2, -2, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 4, 4, 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, -2, 0, -2, 0, 0, -2, -2, -2, -2, -2, 0, -2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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!\[4, 0, -4, 4, 0, 0, 0, 0, -2, -2, 4, 1, 4, 1, 1, -2, -2, -2, -2, 1, 4, 4, 4, 4, -2, -2, 1, -2, -2, 1, 1, -2, -2, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, -1, -1, 2, 2, -4, -4, -4, -4, 0, -2, 4, -2, -1, -1, 2, 2, -1, -1, 2, 2, 2, 2, -1, -1, 2, -1, 2, -1, 0, 0, -2, 0, -2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 4, 4, 4, -2, -2, -2, -2, -2, -2, 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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, -4, -2, 0, 0, 0, 2, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, -4, -4, -2, -2, -2, -2, -2, 1, 1, 1, -4, 0, 0, 0, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, 2, -1, -1, 0, -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, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, -4, 0, 0, -2, 2, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, -2, -2, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, -4, -4, 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, 2, 0, 2, 0, 0, 2, -2, 2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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!\[4, -4, 0, 0, 2, -2, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, -2, -2, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, -4, -4, 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, -2, 0, -2, 0, 0, 2, 2, 2, 2, 2, 0, -2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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!\[4, -4, 2, 0, 0, 0, -2, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, -4, -4, 2, 2, 2, 2, 2, -1, -1, -1, -4, 0, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 1, -2, 1, 1, 0, -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, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, 0, 0, -4, 0, 0, 0, 0, -2, -2, 4, 1, 4, 1, 1, -2, -2, -2, -2, 1, 4, 4, 4, 4, -2, -2, 1, -2, -2, 1, 1, -2, -2, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, -3, 3, 0, 0, 3, -3, 0, 0, 0, 0, 3, -3, 0, -3, 0, 3, 0, 0, 2, 0, 2, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 4, 4, 4, -2, -2, -2, -2, -2, -2, 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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[4, 0, 0, -4, 0, 0, 0, 0, -2, -2, 4, 1, 4, 1, 1, -2, -2, -2, -2, 1, 4, 4, 4, 4, -2, -2, 1, -2, -2, 1, 1, -2, -2, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 0, 2, -4, 2, 3, -3, 0, 0, -3, 3, 0, 0, 0, 0, -3, 3, 0, 3, 0, -3, 0, 0, 2, 0, 2, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 4, 4, 4, -2, -2, -2, -2, -2, -2, 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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[6, 6, 0, -2, 0, 0, 0, -2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -3, 0, 0, 0, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -3, -2, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 2, 2, -1, -1, -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!\[6, 6, 0, -2, 0, 0, 0, -2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -3, 0, 0, 0, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -3, -2, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, -2, 1, 1, 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!\[6, -6, 0, -2, 0, 0, 0, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -3, 0, 0, 0, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -2, 2, -1, -1, 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!\[6, -6, 0, -2, 0, 0, 0, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -3, 0, 0, 0, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 3, -2, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 2, -2, 1, 1, -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(12: Sparse := true);
S := [ K |6,6,0,2,0,0,0,2,6,6,6,6,6,6,6,6,6,6,6,6,-3,0,0,0,-3,-3,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,0,0,0,0,0,0,0,0,-3,2,-1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,2,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1-K.1^-1,K.1+K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1,0,0,-1*K.1-K.1^-1,K.1+K.1^-1,K.1+K.1^-1,-1*K.1-K.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 := 1;
x`IsIrreducible := true; 
K := CyclotomicField(12: Sparse := true);
S := [ K |6,6,0,2,0,0,0,2,6,6,6,6,6,6,6,6,6,6,6,6,-3,0,0,0,-3,-3,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,6,0,0,0,0,0,0,0,0,-3,2,-1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,2,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,K.1+K.1^-1,-1*K.1-K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,0,0,K.1+K.1^-1,-1*K.1-K.1^-1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(12: Sparse := true);
S := [ K |6,-6,0,2,0,0,0,-2,6,6,6,6,6,6,6,6,6,6,6,6,-3,0,0,0,-3,-3,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-6,-6,0,0,0,0,0,0,0,0,3,2,-1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,2,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1*K.1-K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,0,0,K.1+K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,-1*K.1-K.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 := 1;
x`IsIrreducible := true; 
K := CyclotomicField(12: Sparse := true);
S := [ K |6,-6,0,2,0,0,0,-2,6,6,6,6,6,6,6,6,6,6,6,6,-3,0,0,0,-3,-3,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-6,-6,0,0,0,0,0,0,0,0,3,2,-1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,2,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,K.1+K.1^-1,-1*K.1-K.1^-1,K.1+K.1^-1,-1*K.1-K.1^-1,0,0,-1*K.1-K.1^-1,K.1+K.1^-1,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, 0, 0, 0, 4, 0, 0, 8, -4, 8, -4, 8, -4, -4, 8, -4, -4, 8, -4, 8, -4, -4, -4, -4, 8, -4, -4, 2, 2, 2, -4, -4, 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, 4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, 0, 0, 4, 0, 0, 0, -4, 8, 8, -4, 8, -4, -4, -4, 8, 8, -4, -4, 8, -4, -4, -4, 8, -4, -4, 2, -4, 2, 2, 2, 2, -4, -4, 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, 4, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, 4, 0, 0, 0, 0, 0, -4, 8, 8, -4, 8, -4, -4, -4, 8, 8, -4, -4, 8, 2, 2, 2, 8, -4, -4, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, -2, -2, -2, 4, 4, -2, -2, -2, 0, 0, 0, 0, -2, -2, 1, -2, 1, 1, 1, 1, -2, -2, 1, 1, 4, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 2, 2, 2, -4, -4, -4, 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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, 4, 0, 0, 0, 0, 0, 8, -4, 8, -4, 8, -4, -4, 8, -4, -4, 8, -4, 8, 2, 2, 2, -4, 8, -4, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -2, -2, 4, -2, 4, -2, -2, -2, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, -2, -2, 1, 1, 1, 1, -2, 1, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, 4, 0, 0, 0, 0, 0, -4, -4, 8, 2, 8, 2, 2, -4, -4, -4, -4, 2, 8, 2, 2, 2, -4, -4, 2, -1, -1, -4, 5, -1, -1, -1, -1, -4, 5, 5, -4, 0, 0, 0, 0, -2, 4, -2, -2, 4, -2, -2, -2, 0, 0, 0, 0, -2, 4, 1, 1, -2, 1, 1, 1, 1, 1, -2, 1, -2, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 2, 2, 2, 2, 2, 2, -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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, 4, 0, 0, 0, 0, 0, -4, -4, 8, 2, 8, 2, 2, -4, -4, -4, -4, 2, 8, 2, 2, 2, -4, -4, 2, -1, -1, 5, -4, -1, -1, -1, -1, 5, -4, -4, 5, 0, 0, 0, 0, 4, -2, -2, -2, 4, -2, -2, -2, 0, 0, 0, 0, 4, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, -2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 2, 2, 2, 2, 2, 2, -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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, -4, 0, 0, 0, 0, 0, -4, 8, 8, -4, 8, -4, -4, -4, 8, 8, -4, -4, 8, 2, 2, 2, 8, -4, -4, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 2, 2, 2, -4, -4, 2, 2, 2, 0, 0, 0, 0, 2, 2, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -4, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 2, 2, 2, -4, -4, -4, 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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, -4, 0, 0, 0, 0, 0, 8, -4, 8, -4, 8, -4, -4, 8, -4, -4, 8, -4, 8, 2, 2, 2, -4, 8, -4, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 2, 2, -4, 2, -4, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, 0, 0, -4, 0, 0, 0, -4, 8, 8, -4, 8, -4, -4, -4, 8, 8, -4, -4, 8, -4, -4, -4, 8, -4, -4, 2, -4, 2, 2, 2, 2, -4, -4, 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, -4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, 0, 0, 0, -4, 0, 0, 8, -4, 8, -4, 8, -4, -4, 8, -4, -4, 8, -4, 8, -4, -4, -4, -4, 8, -4, -4, 2, 2, 2, -4, -4, 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, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, -4, 0, 0, 0, 0, 0, -4, -4, 8, 2, 8, 2, 2, -4, -4, -4, -4, 2, 8, 2, 2, 2, -4, -4, 2, -1, -1, -4, 5, -1, -1, -1, -1, -4, 5, 5, -4, 0, 0, 0, 0, 2, -4, 2, 2, -4, 2, 2, 2, 0, 0, 0, 0, 2, -4, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 2, 2, 2, 2, 2, 2, -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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[8, 0, -4, 0, 0, 0, 0, 0, -4, -4, 8, 2, 8, 2, 2, -4, -4, -4, -4, 2, 8, 2, 2, 2, -4, -4, 2, -1, -1, 5, -4, -1, -1, -1, -1, 5, -4, -4, 5, 0, 0, 0, 0, -4, 2, 2, 2, -4, 2, 2, 2, 0, 0, 0, 0, -4, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 2, 2, 2, 2, 2, 2, -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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[12, 12, 2, 0, 0, 0, 2, 0, 12, 12, 3, 12, -6, 3, 3, -6, -6, 3, 3, -6, 0, -3, 0, 3, 0, 0, 0, 0, -3, -3, 0, -3, 3, 0, 3, 0, 3, -3, 3, 0, 0, 3, -6, 2, 2, 2, 2, -1, -1, 2, -1, 0, 0, 0, 0, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, -3, 0, 0, 3, 0, 0, 0, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[12, 12, 2, 0, 0, 0, 2, 0, 12, 12, 3, 12, -6, 3, 3, -6, -6, 3, 3, -6, 0, 0, 3, -3, 0, 0, 0, 3, 0, 0, 3, 0, -3, 3, -3, 3, -3, 0, -3, 0, 0, 3, -6, 2, 2, 2, 2, -1, 2, -1, -1, 0, 0, 0, 0, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, -1, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[12, 12, 2, 0, 0, 0, 2, 0, 12, 12, 3, 12, -6, 3, 3, -6, -6, 3, 3, -6, 0, 3, -3, 0, 0, 0, 0, -3, 3, 3, -3, 3, 0, -3, 0, -3, 0, 3, 0, 0, 0, 3, -6, 2, 2, 2, 2, -1, -1, -1, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, 2, 0, 0, 0, 0, 0, 0, 3, 0, -3, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[12, 12, -2, 0, 0, 0, -2, 0, 12, 12, 3, 12, -6, 3, 3, -6, -6, 3, 3, -6, 0, -3, 0, 3, 0, 0, 0, 0, -3, -3, 0, -3, 3, 0, 3, 0, 3, -3, 3, 0, 0, 3, -6, -2, -2, -2, -2, 1, 1, -2, 1, 0, 0, 0, 0, 1, 1, -2, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, -3, 0, 0, 3, 0, 0, 0, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[12, 12, -2, 0, 0, 0, -2, 0, 12, 12, 3, 12, -6, 3, 3, -6, -6, 3, 3, -6, 0, 0, 3, -3, 0, 0, 0, 3, 0, 0, 3, 0, -3, 3, -3, 3, -3, 0, -3, 0, 0, 3, -6, -2, -2, -2, -2, 1, -2, 1, 1, 0, 0, 0, 0, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[12, 12, -2, 0, 0, 0, -2, 0, 12, 12, 3, 12, -6, 3, 3, -6, -6, 3, 3, -6, 0, 3, -3, 0, 0, 0, 0, -3, 3, 3, -3, 3, 0, -3, 0, -3, 0, 3, 0, 0, 0, 3, -6, -2, -2, -2, -2, 1, 1, 1, -2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, 1, -2, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 3, 0, -3, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[12, -12, -2, 0, 0, 0, 2, 0, 12, 12, 3, 12, -6, 3, 3, -6, -6, 3, 3, -6, 0, -3, 0, 3, 0, 0, 0, 0, -3, -3, 0, -3, 3, 0, 3, 0, 3, -3, 3, 0, 0, -3, 6, -2, -2, -2, -2, 1, 1, -2, 1, 0, 0, 0, 0, 1, 1, -2, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 3, 0, 0, -3, 0, 0, 0, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[12, -12, -2, 0, 0, 0, 2, 0, 12, 12, 3, 12, -6, 3, 3, -6, -6, 3, 3, -6, 0, 0, 3, -3, 0, 0, 0, 3, 0, 0, 3, 0, -3, 3, -3, 3, -3, 0, -3, 0, 0, -3, 6, -2, -2, -2, -2, 1, -2, 1, 1, 0, 0, 0, 0, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -3, 3, 0, 0, 0, -1, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[12, -12, -2, 0, 0, 0, 2, 0, 12, 12, 3, 12, -6, 3, 3, -6, -6, 3, 3, -6, 0, 3, -3, 0, 0, 0, 0, -3, 3, 3, -3, 3, 0, -3, 0, -3, 0, 3, 0, 0, 0, -3, 6, -2, -2, -2, -2, 1, 1, 1, -2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, 1, -2, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, -3, 0, 3, 0, 0, 0, 0, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[12, -12, 2, 0, 0, 0, -2, 0, 12, 12, 3, 12, -6, 3, 3, -6, -6, 3, 3, -6, 0, -3, 0, 3, 0, 0, 0, 0, -3, -3, 0, -3, 3, 0, 3, 0, 3, -3, 3, 0, 0, -3, 6, 2, 2, 2, 2, -1, -1, 2, -1, 0, 0, 0, 0, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 3, 0, 0, -3, 0, 0, 0, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[12, -12, 2, 0, 0, 0, -2, 0, 12, 12, 3, 12, -6, 3, 3, -6, -6, 3, 3, -6, 0, 0, 3, -3, 0, 0, 0, 3, 0, 0, 3, 0, -3, 3, -3, 3, -3, 0, -3, 0, 0, -3, 6, 2, 2, 2, 2, -1, 2, -1, -1, 0, 0, 0, 0, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -3, 3, 0, 0, 0, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[12, -12, 2, 0, 0, 0, -2, 0, 12, 12, 3, 12, -6, 3, 3, -6, -6, 3, 3, -6, 0, 3, -3, 0, 0, 0, 0, -3, 3, 3, -3, 3, 0, -3, 0, -3, 0, 3, 0, 0, 0, -3, 6, 2, 2, 2, 2, -1, -1, -1, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, 2, 0, 0, 0, 0, 0, 0, -3, 0, 3, 0, 0, 0, 0, -2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[12, 0, 0, -4, 0, 0, 0, 0, -6, 12, 12, -6, 12, -6, -6, -6, 12, 12, -6, -6, -6, 0, 0, 0, -6, 3, 3, 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, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 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, 0, 0, -4, 0, 0, 0, 0, 12, -6, 12, -6, 12, -6, -6, 12, -6, -6, 12, -6, -6, 0, 0, 0, 3, -6, 3, 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, -4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 1, 1, 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!\[12, 0, 0, -4, 0, 0, 0, 0, -6, 12, 12, -6, 12, -6, -6, -6, 12, 12, -6, -6, -6, 0, 0, 0, -6, 3, 3, 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, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 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, 0, 0, -4, 0, 0, 0, 0, 12, -6, 12, -6, 12, -6, -6, 12, -6, -6, 12, -6, -6, 0, 0, 0, 3, -6, 3, 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, -4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, -1, -1, 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(12: Sparse := true);
S := [ K |12,0,0,4,0,0,0,0,-6,12,12,-6,12,-6,-6,-6,12,12,-6,-6,-6,0,0,0,-6,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,1,-2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1-2*K.1^-1,2*K.1+2*K.1^-1,0,0,0,0,0,0,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(12: Sparse := true);
S := [ K |12,0,0,4,0,0,0,0,-6,12,12,-6,12,-6,-6,-6,12,12,-6,-6,-6,0,0,0,-6,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,1,-2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1+2*K.1^-1,-2*K.1-2*K.1^-1,0,0,0,0,0,0,K.1+K.1^-1,-1*K.1-K.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 := 1;
x`IsIrreducible := true; 
K := CyclotomicField(12: Sparse := true);
S := [ K |12,0,0,4,0,0,0,0,12,-6,12,-6,12,-6,-6,12,-6,-6,12,-6,-6,0,0,0,3,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-2,-2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1-2*K.1^-1,2*K.1+2*K.1^-1,0,0,-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]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(12: Sparse := true);
S := [ K |12,0,0,4,0,0,0,0,12,-6,12,-6,12,-6,-6,12,-6,-6,12,-6,-6,0,0,0,3,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-2,-2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1+2*K.1^-1,-2*K.1-2*K.1^-1,0,0,K.1+K.1^-1,-1*K.1-K.1^-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |12,12,0,0,2,2,0,0,12,12,-6,12,3,-6,-6,3,3,-6,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,2,0,0,0,2,0,0,-1,0,-1,0,0,0,0,0,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,0,0,0,0,0,0,0,0,0,0,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1+K.1^-1,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,K.1^4+K.1^-4,K.1+K.1^-1,K.1^4+K.1^-4,K.1^2+K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |12,12,0,0,2,2,0,0,12,12,-6,12,3,-6,-6,3,3,-6,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,2,0,0,0,2,0,0,-1,0,-1,0,0,0,0,0,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,0,0,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,K.1+K.1^-1,K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1^2+K.1^-2,K.1+K.1^-1,K.1^4+K.1^-4,K.1+K.1^-1,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1+K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |12,12,0,0,2,2,0,0,12,12,-6,12,3,-6,-6,3,3,-6,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,2,0,0,0,2,0,0,-1,0,-1,0,0,0,0,0,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,0,0,0,0,0,0,0,0,0,0,K.1+K.1^-1,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1-K.1^2+2*K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1+K.1^-1,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,K.1^4+K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |12,-12,0,0,-2,2,0,0,12,12,-6,12,3,-6,-6,3,3,-6,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,2,0,0,0,-2,0,0,1,0,-1,0,0,0,0,0,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,0,0,0,0,0,0,0,0,0,0,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1+K.1^-1,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1^4-K.1^-4,-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.1^4-K.1^-4,K.1+K.1^-1,K.1^4+K.1^-4,K.1^2+K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |12,-12,0,0,-2,2,0,0,12,12,-6,12,3,-6,-6,3,3,-6,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,2,0,0,0,-2,0,0,1,0,-1,0,0,0,0,0,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,0,0,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,K.1+K.1^-1,K.1^4+K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1^4-K.1^-4,-1*K.1-K.1^-1,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1+K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |12,-12,0,0,-2,2,0,0,12,12,-6,12,3,-6,-6,3,3,-6,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,2,0,0,0,-2,0,0,1,0,-1,0,0,0,0,0,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,0,0,0,0,0,0,0,0,0,0,K.1+K.1^-1,K.1^4+K.1^-4,K.1^2+K.1^-2,-1*K.1+K.1^2-2*K.1^4-K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,-1*K.1-K.1^-1,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,-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.1^4+K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |12,-12,0,0,2,-2,0,0,12,12,-6,12,3,-6,-6,3,3,-6,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,-2,0,0,0,2,0,0,-1,0,1,0,0,0,0,0,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,0,0,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1+K.1^-1,K.1^2+K.1^-2,K.1+K.1^-1,K.1^4+K.1^-4,-1*K.1-K.1^-1,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |12,-12,0,0,2,-2,0,0,12,12,-6,12,3,-6,-6,3,3,-6,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,-2,0,0,0,2,0,0,-1,0,1,0,0,0,0,0,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,0,0,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,K.1^2+K.1^-2,K.1+K.1^-1,K.1^4+K.1^-4,K.1+K.1^-1,K.1^4+K.1^-4,K.1^2+K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |12,-12,0,0,2,-2,0,0,12,12,-6,12,3,-6,-6,3,3,-6,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,-2,0,0,0,2,0,0,-1,0,1,0,0,0,0,0,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,0,0,0,0,0,0,0,0,0,0,-1*K.1-K.1^-1,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,-1*K.1+K.1^2-2*K.1^4-K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,K.1+K.1^-1,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1^4+K.1^-4,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.1^4-K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |12,12,0,0,-2,-2,0,0,12,12,-6,12,3,-6,-6,3,3,-6,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,-2,0,0,0,-2,0,0,1,0,1,0,0,0,0,0,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,0,0,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,-1*K.1^4-K.1^-4,-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.1^4-K.1^-4,-1*K.1-K.1^-1,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |12,12,0,0,-2,-2,0,0,12,12,-6,12,3,-6,-6,3,3,-6,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,-2,0,0,0,-2,0,0,1,0,1,0,0,0,0,0,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,0,0,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1^4-K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1^4-K.1^-4,-1*K.1-K.1^-1,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |12,12,0,0,-2,-2,0,0,12,12,-6,12,3,-6,-6,3,3,-6,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,-2,0,0,0,-2,0,0,1,0,1,0,0,0,0,0,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,0,0,0,0,0,0,0,0,0,0,-1*K.1-K.1^-1,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,K.1-K.1^2+2*K.1^4+K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-1*K.1-K.1^-1,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,-1*K.1^4-K.1^-4,-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.1^4-K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[16, 0, 0, 0, 0, 0, 0, 0, -8, -8, 16, 4, 16, 4, 4, -8, -8, -8, -8, 4, 16, -8, -8, -8, -8, -8, 4, 4, 4, -2, -2, 4, 4, 4, 4, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -2, -2, -2, -2, -2, -2, 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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, 0, 0, 8, 0, 0, 0, 0, -12, -12, 24, 6, 24, 6, 6, -12, -12, -12, -12, 6, -12, 0, 0, 0, 6, 6, -3, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, 0, 4, 0, 0, 0, 0, 0, -12, 24, 6, -12, -12, -3, -3, 6, -12, 6, -3, 6, 0, -6, 0, 6, 0, 0, 0, 0, -6, 3, 0, 3, -3, 0, 6, 0, -3, 3, -3, 0, 0, 0, 0, -2, -2, -2, 4, -2, -2, 4, -2, 0, 0, 0, 0, 1, 1, -2, -2, 1, -2, 1, 1, 4, -2, -2, 1, -2, 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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, 0, 4, 0, 0, 0, 0, 0, -12, 24, 6, -12, -12, -3, -3, 6, -12, 6, -3, 6, 0, 0, 6, -6, 0, 0, 0, -3, 0, 0, -3, 0, 3, 6, -6, -3, 3, 0, 3, 0, 0, 0, 0, -2, -2, -2, 4, -2, 4, -2, -2, 0, 0, 0, 0, 1, 1, 1, 4, -2, 1, -2, 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, 0, 0, 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, 0, 4, 0, 0, 0, 0, 0, -12, 24, 6, -12, -12, -3, -3, 6, -12, 6, -3, 6, 0, 6, -6, 0, 0, 0, 0, 3, 6, -3, 3, -3, 0, -6, 0, 3, 0, -3, 0, 0, 0, 0, 0, -2, -2, -2, 4, -2, -2, -2, 4, 0, 0, 0, 0, 1, 1, 1, -2, 1, 1, 1, -2, -2, 4, 1, -2, -2, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, 0, 4, 0, 0, 0, 0, 0, 24, -12, 6, -12, -12, -3, -3, -12, 6, -3, 6, 6, 0, -6, 0, 6, 0, 0, 0, 0, 3, 3, 0, -6, 6, 0, -3, 0, -3, 3, -3, 0, 0, 0, 0, -2, -2, 4, -2, -2, -2, 4, -2, 0, 0, 0, 0, 1, 1, 4, 1, 1, -2, -2, -2, -2, 1, -2, 1, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 4, 0, 0, 0, 0, 0, 24, -12, 6, -12, -12, -3, -3, -12, 6, -3, 6, 6, 0, 0, 6, -6, 0, 0, 0, 6, 0, 0, -3, 0, -6, -3, 3, -3, 3, 0, 3, 0, 0, 0, 0, -2, -2, 4, -2, -2, 4, -2, -2, 0, 0, 0, 0, 1, 1, -2, -2, -2, 1, 4, -2, 1, 1, 1, 1, 1, -2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 4, 0, 0, 0, 0, 0, 24, -12, 6, -12, -12, -3, -3, -12, 6, -3, 6, 6, 0, 6, -6, 0, 0, 0, 0, -6, -3, -3, 3, 6, 0, 3, 0, 3, 0, -3, 0, 0, 0, 0, 0, -2, -2, 4, -2, -2, -2, -2, 4, 0, 0, 0, 0, 1, 1, -2, 1, 1, 1, -2, 4, 1, -2, 1, -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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, 0, 4, 0, 0, 0, 0, 0, -12, -12, 6, 6, -12, -12, 15, 6, 6, -3, -3, -3, 0, -6, 0, 6, 0, 0, 0, 0, 3, 3, 0, 3, -3, 0, -3, 0, 6, -6, -3, 0, 0, 0, 0, 4, -2, -2, -2, -2, -2, 4, -2, 0, 0, 0, 0, -2, 1, -2, 1, 1, 4, 1, 1, -2, 1, -2, -2, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 4, 0, 0, 0, 0, 0, -12, -12, 6, 6, -12, -12, 15, 6, 6, -3, -3, -3, 0, 0, 6, -6, 0, 0, 0, -3, 0, 0, 6, 0, 3, -3, 3, -3, -6, 0, 3, 0, 0, 0, 0, 4, -2, -2, -2, -2, 4, -2, -2, 0, 0, 0, 0, -2, 1, 1, -2, -2, -2, -2, 1, 1, 1, 1, -2, 1, 4, 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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, 0, 4, 0, 0, 0, 0, 0, -12, -12, 6, 6, -12, -12, 15, 6, 6, -3, -3, -3, 0, 6, -6, 0, 0, 0, 0, 3, -3, -3, -6, -3, 0, 3, 0, 3, 0, 6, 0, 0, 0, 0, 0, 4, -2, -2, -2, -2, -2, -2, 4, 0, 0, 0, 0, -2, 1, 1, 1, 1, -2, 1, -2, 1, -2, 1, 4, 1, -2, 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, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, 0, 4, 0, 0, 0, 0, 0, -12, -12, 6, 6, -12, 15, -12, 6, 6, -3, -3, -3, 0, -6, 0, 6, 0, 0, 0, 0, 3, -6, 0, 3, -3, 0, -3, 0, -3, 3, 6, 0, 0, 0, 0, -2, 4, -2, -2, -2, -2, 4, -2, 0, 0, 0, 0, 1, -2, -2, 1, -2, -2, 1, 1, -2, 1, 4, 1, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 4, 0, 0, 0, 0, 0, -12, -12, 6, 6, -12, 15, -12, 6, 6, -3, -3, -3, 0, 0, 6, -6, 0, 0, 0, -3, 0, 0, -3, 0, 3, -3, 3, 6, 3, 0, -6, 0, 0, 0, 0, -2, 4, -2, -2, -2, 4, -2, -2, 0, 0, 0, 0, 1, -2, 1, -2, 4, 1, -2, 1, 1, 1, -2, 1, 1, -2, 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, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, 0, 4, 0, 0, 0, 0, 0, -12, -12, 6, 6, -12, 15, -12, 6, 6, -3, -3, -3, 0, 6, -6, 0, 0, 0, 0, 3, -3, 6, 3, -3, 0, 3, 0, -6, 0, -3, 0, 0, 0, 0, 0, -2, 4, -2, -2, -2, -2, -2, 4, 0, 0, 0, 0, 1, -2, 1, 1, -2, 1, 1, -2, 1, -2, -2, -2, 1, 1, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, -4, 0, 0, 0, 0, 0, -12, -12, 6, 6, -12, -12, 15, 6, 6, -3, -3, -3, 0, -6, 0, 6, 0, 0, 0, 0, 3, 3, 0, 3, -3, 0, -3, 0, 6, -6, -3, 0, 0, 0, 0, -4, 2, 2, 2, 2, 2, -4, 2, 0, 0, 0, 0, 2, -1, 2, -1, -1, -4, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, -4, 0, 0, 0, 0, 0, -12, -12, 6, 6, -12, -12, 15, 6, 6, -3, -3, -3, 0, 0, 6, -6, 0, 0, 0, -3, 0, 0, 6, 0, 3, -3, 3, -3, -6, 0, 3, 0, 0, 0, 0, -4, 2, 2, 2, 2, -4, 2, 2, 0, 0, 0, 0, 2, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -4, -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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, 0, -4, 0, 0, 0, 0, 0, -12, -12, 6, 6, -12, -12, 15, 6, 6, -3, -3, -3, 0, 6, -6, 0, 0, 0, 0, 3, -3, -3, -6, -3, 0, 3, 0, 3, 0, 6, 0, 0, 0, 0, 0, -4, 2, 2, 2, 2, 2, 2, -4, 0, 0, 0, 0, 2, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -4, -1, 2, -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, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, 0, -4, 0, 0, 0, 0, 0, -12, -12, 6, 6, -12, 15, -12, 6, 6, -3, -3, -3, 0, -6, 0, 6, 0, 0, 0, 0, 3, -6, 0, 3, -3, 0, -3, 0, -3, 3, 6, 0, 0, 0, 0, 2, -4, 2, 2, 2, 2, -4, 2, 0, 0, 0, 0, -1, 2, 2, -1, 2, 2, -1, -1, 2, -1, -4, -1, -1, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, -4, 0, 0, 0, 0, 0, -12, -12, 6, 6, -12, 15, -12, 6, 6, -3, -3, -3, 0, 0, 6, -6, 0, 0, 0, -3, 0, 0, -3, 0, 3, -3, 3, 6, 3, 0, -6, 0, 0, 0, 0, 2, -4, 2, 2, 2, -4, 2, 2, 0, 0, 0, 0, -1, 2, -1, 2, -4, -1, 2, -1, -1, -1, 2, -1, -1, 2, -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, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, 0, -4, 0, 0, 0, 0, 0, -12, -12, 6, 6, -12, 15, -12, 6, 6, -3, -3, -3, 0, 6, -6, 0, 0, 0, 0, 3, -3, 6, 3, -3, 0, 3, 0, -6, 0, -3, 0, 0, 0, 0, 0, 2, -4, 2, 2, 2, 2, 2, -4, 0, 0, 0, 0, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, 2, -1, -1, -1, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, -4, 0, 0, 0, 0, 0, -12, 24, 6, -12, -12, -3, -3, 6, -12, 6, -3, 6, 0, -6, 0, 6, 0, 0, 0, 0, -6, 3, 0, 3, -3, 0, 6, 0, -3, 3, -3, 0, 0, 0, 0, 2, 2, 2, -4, 2, 2, -4, 2, 0, 0, 0, 0, -1, -1, 2, 2, -1, 2, -1, -1, -4, 2, 2, -1, 2, -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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, 0, -4, 0, 0, 0, 0, 0, -12, 24, 6, -12, -12, -3, -3, 6, -12, 6, -3, 6, 0, 0, 6, -6, 0, 0, 0, -3, 0, 0, -3, 0, 3, 6, -6, -3, 3, 0, 3, 0, 0, 0, 0, 2, 2, 2, -4, 2, -4, 2, 2, 0, 0, 0, 0, -1, -1, -1, -4, 2, -1, 2, -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, 0, 0, 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, 0, -4, 0, 0, 0, 0, 0, -12, 24, 6, -12, -12, -3, -3, 6, -12, 6, -3, 6, 0, 6, -6, 0, 0, 0, 0, 3, 6, -3, 3, -3, 0, -6, 0, 3, 0, -3, 0, 0, 0, 0, 0, 2, 2, 2, -4, 2, 2, 2, -4, 0, 0, 0, 0, -1, -1, -1, 2, -1, -1, -1, 2, 2, -4, -1, 2, 2, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, 0, -4, 0, 0, 0, 0, 0, 24, -12, 6, -12, -12, -3, -3, -12, 6, -3, 6, 6, 0, -6, 0, 6, 0, 0, 0, 0, 3, 3, 0, -6, 6, 0, -3, 0, -3, 3, -3, 0, 0, 0, 0, 2, 2, -4, 2, 2, 2, -4, 2, 0, 0, 0, 0, -1, -1, -4, -1, -1, 2, 2, 2, 2, -1, 2, -1, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, -4, 0, 0, 0, 0, 0, 24, -12, 6, -12, -12, -3, -3, -12, 6, -3, 6, 6, 0, 0, 6, -6, 0, 0, 0, 6, 0, 0, -3, 0, -6, -3, 3, -3, 3, 0, 3, 0, 0, 0, 0, 2, 2, -4, 2, 2, -4, 2, 2, 0, 0, 0, 0, -1, -1, 2, 2, 2, -1, -4, 2, -1, -1, -1, -1, -1, 2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, -4, 0, 0, 0, 0, 0, 24, -12, 6, -12, -12, -3, -3, -12, 6, -3, 6, 6, 0, 6, -6, 0, 0, 0, 0, -6, -3, -3, 3, 6, 0, 3, 0, 3, 0, -3, 0, 0, 0, 0, 0, 2, 2, -4, 2, 2, 2, 2, -4, 0, 0, 0, 0, -1, -1, 2, -1, -1, -1, 2, -4, -1, 2, -1, 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]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[24, 0, 0, -8, 0, 0, 0, 0, -12, -12, 24, 6, 24, 6, 6, -12, -12, -12, -12, 6, -12, 0, 0, 0, 6, 6, -3, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |24,0,0,0,0,4,0,0,24,-12,-12,-12,6,6,6,6,-3,6,-12,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,-2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,0,0,0,0,0,0,0,0,0,0,2*K.1^4+2*K.1^-4,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,0,0,0,0,0,0,0,0,0,-1*K.1-K.1^-1,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |24,0,0,0,0,4,0,0,24,-12,-12,-12,6,6,6,6,-3,6,-12,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,-2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,0,0,0,0,0,0,0,0,0,0,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^4+2*K.1^-4,0,0,0,0,0,0,0,0,0,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |24,0,0,0,0,4,0,0,24,-12,-12,-12,6,6,6,6,-3,6,-12,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,-2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,0,0,0,0,0,0,0,0,0,0,2*K.1+2*K.1^-1,2*K.1^4+2*K.1^-4,2*K.1^2+2*K.1^-2,0,0,0,0,0,0,0,0,0,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,-1*K.1^4-K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |24,0,0,0,4,0,0,0,-12,24,-12,-12,6,6,6,-3,6,-12,6,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,-2,0,0,1,0,0,0,0,0,0,0,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^4+2*K.1^-4,2*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.1^4-K.1^-4,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |24,0,0,0,4,0,0,0,-12,24,-12,-12,6,6,6,-3,6,-12,6,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,-2,0,0,1,0,0,0,0,0,0,0,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1^2+2*K.1^-2,2*K.1+2*K.1^-1,2*K.1^4+2*K.1^-4,-1*K.1-K.1^-1,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |24,0,0,0,4,0,0,0,-12,24,-12,-12,6,6,6,-3,6,-12,6,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,-2,0,0,1,0,0,0,0,0,0,0,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2*K.1+2*K.1^-1,2*K.1^4+2*K.1^-4,2*K.1^2+2*K.1^-2,-1*K.1^4-K.1^-4,-1*K.1^2-K.1^-2,-1*K.1-K.1^-1,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |24,0,0,0,-4,0,0,0,-12,24,-12,-12,6,6,6,-3,6,-12,6,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,-1,0,0,0,0,0,0,0,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^4-2*K.1^-4,-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,K.1^4+K.1^-4,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |24,0,0,0,-4,0,0,0,-12,24,-12,-12,6,6,6,-3,6,-12,6,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,-1,0,0,0,0,0,0,0,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1^4-2*K.1^-4,K.1+K.1^-1,K.1^4+K.1^-4,K.1^2+K.1^-2,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |24,0,0,0,-4,0,0,0,-12,24,-12,-12,6,6,6,-3,6,-12,6,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,-1,0,0,0,0,0,0,0,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2*K.1-2*K.1^-1,-2*K.1^4-2*K.1^-4,-2*K.1^2-2*K.1^-2,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1+K.1^-1,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |24,0,0,0,0,-4,0,0,24,-12,-12,-12,6,6,6,6,-3,6,-12,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,0,0,0,0,0,0,0,0,0,0,-2*K.1^4-2*K.1^-4,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,0,0,0,0,0,0,0,0,0,K.1+K.1^-1,K.1^4+K.1^-4,K.1^2+K.1^-2]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |24,0,0,0,0,-4,0,0,24,-12,-12,-12,6,6,6,6,-3,6,-12,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,0,0,0,0,0,0,0,0,0,0,-2*K.1^2-2*K.1^-2,-2*K.1-2*K.1^-1,-2*K.1^4-2*K.1^-4,0,0,0,0,0,0,0,0,0,K.1^4+K.1^-4,K.1^2+K.1^-2,K.1+K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |24,0,0,0,0,-4,0,0,24,-12,-12,-12,6,6,6,6,-3,6,-12,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+4*K.1^4+2*K.1^-4,2*K.1-2*K.1^2-2*K.1^4-4*K.1^-4,-4*K.1+4*K.1^2-2*K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,-1*K.1+K.1^2-2*K.1^4-K.1^-4,-1*K.1+K.1^2+K.1^4+2*K.1^-4,2*K.1-2*K.1^2+K.1^4-K.1^-4,0,0,0,0,0,0,0,0,0,0,-2*K.1-2*K.1^-1,-2*K.1^4-2*K.1^-4,-2*K.1^2-2*K.1^-2,0,0,0,0,0,0,0,0,0,K.1^2+K.1^-2,K.1+K.1^-1,K.1^4+K.1^-4]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |48,0,0,0,0,0,0,0,-24,-24,-24,12,12,-6,-6,-6,-6,12,12,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1-4*K.1^2+8*K.1^4+4*K.1^-4,4*K.1-4*K.1^2-4*K.1^4-8*K.1^-4,-8*K.1+8*K.1^2-4*K.1^4+4*K.1^-4,4*K.1-4*K.1^2+2*K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-4*K.1^4-2*K.1^-4,-2*K.1+2*K.1^2+2*K.1^4+4*K.1^-4,-2*K.1+2*K.1^2+2*K.1^4+4*K.1^-4,4*K.1-4*K.1^2+2*K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-4*K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |48,0,0,0,0,0,0,0,-24,-24,-24,12,12,-6,-6,-6,-6,12,12,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-8*K.1+8*K.1^2-4*K.1^4+4*K.1^-4,4*K.1-4*K.1^2+8*K.1^4+4*K.1^-4,4*K.1-4*K.1^2-4*K.1^4-8*K.1^-4,-2*K.1+2*K.1^2+2*K.1^4+4*K.1^-4,4*K.1-4*K.1^2+2*K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-4*K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-4*K.1^4-2*K.1^-4,-2*K.1+2*K.1^2+2*K.1^4+4*K.1^-4,4*K.1-4*K.1^2+2*K.1^4-2*K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(9: Sparse := true);
S := [ K |48,0,0,0,0,0,0,0,-24,-24,-24,12,12,-6,-6,-6,-6,12,12,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4*K.1-4*K.1^2-4*K.1^4-8*K.1^-4,-8*K.1+8*K.1^2-4*K.1^4+4*K.1^-4,4*K.1-4*K.1^2+8*K.1^4+4*K.1^-4,-2*K.1+2*K.1^2-4*K.1^4-2*K.1^-4,-2*K.1+2*K.1^2+2*K.1^4+4*K.1^-4,4*K.1-4*K.1^2+2*K.1^4-2*K.1^-4,4*K.1-4*K.1^2+2*K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-4*K.1^4-2*K.1^-4,-2*K.1+2*K.1^2+2*K.1^4+4*K.1^-4,K.1-K.1^2+2*K.1^4+K.1^-4,K.1-K.1^2-K.1^4-2*K.1^-4,-2*K.1+2*K.1^2-K.1^4+K.1^-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
_ := CharacterTable(G : Check := 0); 
chartbl_34992_ln:= KnownIrreducibles(CR);