# Group 4320.ch downloaded from the LMFDB on 11 November 2025. 
 
## Various presentations of this group are stored in this file: 
#	 GPC is polycyclic presentation GPerm is permutation group 
#	 GLZ, GLFp, GLZA, GLZq, GLFq if they exist are matrix groups 
 
# Many characteristics of the group are stored as booleans in a record: 
#	 Agroup, Zgroup, abelian, almost_simple,cyclic, metabelian, 
#	 metacyclic, monomial, nilpotent, perfect, quasisimple, rational, 
#	 solvable, supersolvable 
 
# The character table is stored as a record chartbl_n_i where n is the order 
# of the group and i is which group of that order it is. The record is 
# converted to a character table using ConvertToLibraryCharacterTableNC 

 
# Constructions 
GPerm := Group( (6,7,8)(11,12,13), (1,2)(7,8)(12,13), (6,8)(11,12), (9,10), (11,12,13), (1,3)(2,4,5)(6,7)(9,10)(11,12) );

 
# Booleans 
booleans_4320_ch := rec( 
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := false,
metacyclic := false,
monomial := false,
nilpotent := false,
perfect := false,
quasisimple := false,
rational := true,
solvable := false,
supersolvable := false); 

 
# Character Table 
chartbl_4320_ch:=rec(); 
chartbl_4320_ch.IsFinite:= true; 
chartbl_4320_ch.UnderlyingCharacteristic:= 0; 
chartbl_4320_ch.UnderlyingGroup:= GPerm;
chartbl_4320_ch.Size:= 4320;
chartbl_4320_ch.InfoText:= "Character table for group 4320.ch downloaded from the LMFDB."; 
chartbl_4320_ch.Identifier:= " C6:S3*S5 "; 
chartbl_4320_ch.NrConjugacyClasses:= 84; 
chartbl_4320_ch.ConjugacyClasses:= [(), (9,10), (6,7)(9,10)(11,13), (6,7)(12,13), (4,5), (4,5)(9,10), (2,3)(4,5)(9,10), (2,4)(3,5), (1,3)(7,8)(11,13), (1,3)(6,8)(9,10)(12,13), (1,4)(3,5)(6,7)(12,13), (1,4)(3,5)(6,7)(9,10)(12,13), (11,13,12), (6,8,7), (6,8,7)(11,13,12), (6,8,7)(11,12,13), (3,5,4), (3,5,4)(11,13,12), (3,5,4)(6,8,7), (3,5,4)(6,8,7)(11,13,12), (3,5,4)(6,8,7)(11,12,13), (2,5,4,3), (2,5,4,3)(9,10), (1,2,3,4)(6,8)(12,13), (1,4,3,5)(6,8)(9,10)(11,13), (1,2,3,4,5), (9,10)(11,13,12), (6,8,7)(9,10), (6,8,7)(9,10)(11,13,12), (6,8,7)(9,10)(11,12,13), (4,5)(11,12,13), (4,5)(9,10)(11,12,13), (4,5)(6,7,8), (4,5)(6,7,8)(11,12,13), (4,5)(6,7,8)(11,13,12), (4,5)(6,7,8)(9,10), (4,5)(6,7,8)(9,10)(11,12,13), (4,5)(6,7,8)(9,10)(11,13,12), (3,4,5)(9,10), (1,2)(3,4,5), (1,2)(3,4,5)(9,10), (2,3)(4,5)(9,10)(11,12,13), (2,3)(4,5)(6,7,8)(9,10), (2,3)(4,5)(6,7,8)(9,10)(11,12,13), (2,3)(4,5)(6,7,8)(9,10)(11,13,12), (2,4)(3,5)(11,13,12), (2,4)(3,5)(6,8,7), (2,4)(3,5)(6,8,7)(11,13,12), (2,4)(3,5)(6,8,7)(11,12,13), (3,4,5)(9,10)(11,12,13), (3,4,5)(6,7,8)(9,10), (3,4,5)(6,7,8)(9,10)(11,12,13), (3,4,5)(6,7,8)(9,10)(11,13,12), (1,2)(3,4,5)(11,12,13), (1,2)(3,4,5)(9,10)(11,12,13), (1,2)(3,4,5)(6,7,8), (1,2)(3,4,5)(6,7,8)(11,12,13), (1,2)(3,4,5)(6,7,8)(11,13,12), (1,2)(3,4,5)(6,7,8)(9,10), (1,2)(3,4,5)(6,7,8)(9,10)(11,12,13), (1,2)(3,4,5)(6,7,8)(9,10)(11,13,12), (1,3)(2,4,5)(7,8)(11,13), (1,5,2)(6,7)(9,10)(11,13), (1,3,2)(6,7)(12,13), (1,3)(2,5,4)(6,8)(9,10)(12,13), (1,4,2,5,3)(9,10), (1,2,5,4,3)(6,8)(9,10)(11,12), (1,4,3,2,5)(7,8)(11,13), (2,3,4,5)(11,12,13), (2,3,4,5)(9,10)(11,12,13), (2,3,4,5)(6,7,8), (2,3,4,5)(6,7,8)(11,12,13), (2,3,4,5)(6,7,8)(11,13,12), (2,3,4,5)(6,7,8)(9,10), (2,3,4,5)(6,7,8)(9,10)(11,12,13), (2,3,4,5)(6,7,8)(9,10)(11,13,12), (1,3,5,2,4)(11,13,12), (1,3,5,2,4)(6,8,7), (1,3,5,2,4)(6,8,7)(11,13,12), (1,3,5,2,4)(6,8,7)(11,12,13), (1,2,3,4,5)(9,10)(11,12,13), (1,2,3,4,5)(6,7,8)(9,10), (1,2,3,4,5)(6,7,8)(9,10)(11,12,13), (1,2,3,4,5)(6,7,8)(9,10)(11,13,12)];
chartbl_4320_ch.IdentificationOfConjugacyClasses:= [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84];
chartbl_4320_ch.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 14, 15, 16, 17, 18, 19, 20, 21, 8, 8, 8, 8, 26, 13, 14, 15, 16, 13, 13, 14, 15, 16, 14, 15, 16, 17, 17, 17, 13, 14, 15, 16, 13, 14, 15, 16, 18, 19, 20, 21, 18, 18, 19, 20, 21, 19, 20, 21, 17, 17, 17, 17, 26, 26, 26, 46, 46, 47, 48, 49, 47, 48, 49, 77, 78, 79, 80, 77, 78, 79, 80], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 1, 1, 1, 1, 1, 1, 1, 1, 22, 23, 24, 25, 26, 2, 2, 2, 2, 5, 6, 5, 5, 5, 6, 6, 6, 2, 5, 6, 7, 7, 7, 7, 8, 8, 8, 8, 2, 2, 2, 2, 5, 6, 5, 5, 5, 6, 6, 6, 9, 3, 4, 10, 66, 67, 68, 22, 23, 22, 22, 22, 23, 23, 23, 26, 26, 26, 26, 66, 66, 66, 66], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 1, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 2, 3, 4, 69, 70, 71, 72, 73, 74, 75, 76, 13, 14, 15, 16, 27, 28, 29, 30]];
chartbl_4320_ch.SizesCentralizers:= [4320, 4320, 480, 480, 432, 432, 288, 288, 48, 48, 32, 32, 2160, 2160, 2160, 2160, 216, 108, 108, 108, 108, 144, 144, 16, 16, 180, 2160, 2160, 2160, 2160, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 144, 144, 144, 144, 144, 144, 144, 144, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 24, 24, 24, 24, 180, 20, 20, 72, 72, 72, 72, 72, 72, 72, 72, 90, 90, 90, 90, 90, 90, 90, 90];
chartbl_4320_ch.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "2I", "2J", "2K", "3A", "3B", "3C", "3D", "3E", "3F", "3G", "3H", "3I", "4A", "4B", "4C", "4D", "5A", "6A", "6B", "6C", "6D", "6E", "6F", "6G", "6H", "6I", "6J", "6K", "6L", "6M", "6N", "6O", "6P", "6Q", "6R", "6S", "6T", "6U", "6V", "6W", "6X", "6Y", "6Z", "6AA", "6AB", "6AC", "6AD", "6AE", "6AF", "6AG", "6AH", "6AI", "6AJ", "6AK", "6AL", "6AM", "10A", "10B", "10C", "12A", "12B", "12C", "12D", "12E", "12F", "12G", "12H", "15A", "15B", "15C", "15D", "30A", "30B", "30C", "30D"];
chartbl_4320_ch.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 30, 30, 30, 30];
chartbl_4320_ch.Irr:= [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1], [1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1], [1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1], [1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1], [1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, 2, 0, 0, 2, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 2, 0, 0, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1], [2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, 2, -1, 2, -1, 2, -1, -1, 2, 2, 0, 0, 2, -1, 2, -1, -1, 2, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, 0, 0, 0, 0, 2, 0, 0, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1], [2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, 2, 0, 0, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 0, 0, 0, 0, 2, 0, 0, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2], [2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, 2, 0, 0, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, 0, 0, 0, 0, 2, 0, 0, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1], [2, -2, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, -1, -1, -1, 2, 2, 2, -1, -1, -1, -2, 2, 0, 0, 2, 1, 1, -2, 1, 2, -2, 1, -2, 1, -1, 1, 2, -2, -1, -1, -2, 1, 1, 1, -1, 2, -1, -1, 2, -2, -2, 1, 1, 1, 1, -1, -1, 1, -1, 1, 0, 0, 0, 0, -2, 0, 0, -2, -1, 1, 1, -1, -1, 2, 1, -1, -1, 2, -1, 1, 1, -2, 1], [2, -2, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, -1, -1, 2, -1, 2, -1, 2, -1, -1, -2, 2, 0, 0, 2, 1, -2, 1, 1, 2, -2, -2, 1, 1, 2, 1, -1, -2, -1, -1, 1, 1, 1, -2, -1, -1, -1, 2, -1, 1, 1, 1, 1, -2, -2, -1, 2, 1, -1, 1, 0, 0, 0, 0, -2, 0, 0, 1, -1, -2, 1, -1, 2, -1, 1, -1, 2, -1, -1, 1, -2, 1, 1], [2, -2, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, -1, 2, -1, -1, 2, -1, -1, 2, -1, -2, 2, 0, 0, 2, 1, 1, 1, -2, 2, -2, 1, 1, 1, -1, -2, -1, -2, -1, 2, 1, -2, 1, 1, -1, -1, 2, -1, -1, 1, 1, -2, 1, 1, 1, -1, -1, -2, 2, 1, 0, 0, 0, 0, -2, 0, 0, 1, -1, 1, 1, 2, -1, -1, -2, -1, -1, -1, 2, 1, 1, 1, -2], [2, -2, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, 2, -1, -1, -1, 2, -1, -1, -1, 2, -2, 2, 0, 0, 2, -2, 1, 1, 1, 2, -2, 1, 1, -2, -1, 1, -1, -2, 2, -1, 1, 1, -2, 1, 2, -1, -1, -1, -1, 1, 1, 1, -2, 1, 1, 2, -1, 1, -1, -2, 0, 0, 0, 0, -2, 0, 0, 1, 2, 1, -2, -1, -1, -1, 1, 2, -1, -1, -1, -2, 1, 1, 1], [2, -2, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, -2, 0, 0, 2, 1, 1, -2, 1, -2, -2, -1, 2, -1, 1, -1, -2, 2, 1, 1, -2, 1, 1, 1, -1, 2, -1, -1, -2, -2, 2, -1, -1, -1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, -2, 0, 0, 2, 1, -1, -1, 1, 1, -2, -1, -1, -1, 2, -1, 1, 1, -2, 1], [2, -2, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, -1, -1, 2, -1, 2, -1, 2, -1, -1, 2, -2, 0, 0, 2, 1, -2, 1, 1, -2, -2, 2, -1, -1, -2, -1, 1, 2, 1, 1, 1, 1, 1, -2, -1, -1, -1, 2, 1, 1, -1, -1, -1, 2, -2, 1, -2, 1, 1, 1, 0, 0, 0, 0, -2, 0, 0, -1, 1, 2, -1, 1, -2, 1, -1, -1, 2, -1, -1, 1, -2, 1, 1], [2, -2, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, -1, 2, -1, -1, 2, -1, -1, 2, -1, 2, -2, 0, 0, 2, 1, 1, 1, -2, -2, -2, -1, -1, -1, 1, 2, 1, 2, 1, -2, 1, -2, 1, 1, -1, -1, 2, -1, 1, 1, -1, 2, -1, -1, 1, 1, 1, -2, -2, 1, 0, 0, 0, 0, -2, 0, 0, -1, 1, -1, -1, -2, 1, 1, 2, -1, -1, -1, 2, 1, 1, 1, -2], [2, -2, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, -2, 0, 0, 2, -2, 1, 1, 1, -2, -2, -1, -1, 2, 1, -1, 1, 2, -2, 1, 1, 1, -2, 1, 2, -1, -1, -1, 1, 1, -1, -1, 2, -1, 1, -2, 1, 1, 1, -2, 0, 0, 0, 0, -2, 0, 0, -1, -2, -1, 2, 1, 1, 1, -1, 2, -1, -1, -1, -2, 1, 1, 1], [2, 2, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, -1, -1, -1, 2, 2, 2, -1, -1, -1, -2, -2, 0, 0, 2, -1, -1, 2, -1, -2, 2, 1, -2, 1, 1, 1, -2, -2, 1, 1, 2, -1, -1, -1, -1, 2, -1, -1, -2, 2, -2, 1, 1, 1, -1, 1, 1, -1, 1, -1, 0, 0, 0, 0, 2, 0, 0, -2, 1, 1, 1, 1, 1, -2, 1, -1, -1, 2, -1, -1, -1, 2, -1], [2, 2, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, -1, -1, 2, -1, 2, -1, 2, -1, -1, -2, -2, 0, 0, 2, -1, 2, -1, -1, -2, 2, -2, 1, 1, -2, 1, 1, -2, 1, 1, -1, -1, -1, 2, -1, -1, -1, 2, 1, -1, 1, 1, 1, -2, 2, 1, -2, -1, 1, -1, 0, 0, 0, 0, 2, 0, 0, 1, 1, -2, 1, 1, -2, 1, 1, -1, 2, -1, -1, -1, 2, -1, -1], [2, 2, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, -1, 2, -1, -1, 2, -1, -1, 2, -1, -2, -2, 0, 0, 2, -1, -1, -1, 2, -2, 2, 1, 1, 1, 1, -2, 1, -2, 1, -2, -1, 2, -1, -1, -1, -1, 2, -1, 1, -1, 1, -2, 1, 1, -1, 1, 1, 2, -2, -1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, -2, 1, 1, -2, -1, -1, -1, 2, -1, -1, -1, 2], [2, 2, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 2, -1, -1, -1, 2, -1, -1, -1, 2, -2, -2, 0, 0, 2, 2, -1, -1, -1, -2, 2, 1, 1, -2, 1, 1, 1, -2, -2, 1, -1, -1, 2, -1, 2, -1, -1, -1, 1, -1, 1, 1, -2, 1, -1, -2, 1, -1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, -2, 1, -2, 1, 1, 1, 1, 2, -1, -1, -1, 2, -1, -1, -1], [4, 4, 4, 4, 2, 2, 0, 0, 2, 2, 0, 0, 4, 4, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, -1, 4, 4, 4, 4, -1, 1, 2, 2, 2, 2, 2, 2, -1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1], [4, 4, 4, 4, -2, -2, 0, 0, -2, -2, 0, 0, 4, 4, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, -1, 4, 4, 4, 4, 1, 1, -2, -2, -2, -2, -2, -2, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1], [4, -4, -4, 4, -2, 2, 0, 0, -2, 2, 0, 0, 4, 4, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, -1, -4, -4, -4, -4, -1, -1, -2, -2, -2, 2, -2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, 1, 1], [4, -4, -4, 4, 2, -2, 0, 0, 2, -2, 0, 0, 4, 4, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, -1, -4, -4, -4, -4, 1, -1, 2, 2, 2, -2, 2, -2, -1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, 1, 1], [4, -4, 4, -4, -2, 2, 0, 0, 2, -2, 0, 0, 4, 4, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, -1, -4, -4, -4, -4, -1, -1, -2, -2, -2, 2, -2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, 1, 1], [4, -4, 4, -4, 2, -2, 0, 0, -2, 2, 0, 0, 4, 4, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, -1, -4, -4, -4, -4, 1, -1, 2, 2, 2, -2, 2, -2, -1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, 1, 1], [4, 4, -4, -4, -2, -2, 0, 0, 2, 2, 0, 0, 4, 4, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, -1, 4, 4, 4, 4, 1, 1, -2, -2, -2, -2, -2, -2, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1], [4, 4, -4, -4, 2, 2, 0, 0, -2, -2, 0, 0, 4, 4, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, -1, 4, 4, 4, 4, -1, 1, 2, 2, 2, 2, 2, 2, -1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1], [5, 5, 5, 5, -1, -1, 1, 1, -1, -1, 1, 1, 5, 5, 5, 5, -1, -1, -1, -1, -1, 1, 1, 1, 1, 0, 5, 5, 5, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 5, 5, 5, 5, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [5, -5, -5, 5, -1, 1, -1, 1, -1, 1, 1, -1, 5, 5, 5, 5, -1, -1, -1, -1, -1, 1, -1, 1, -1, 0, -5, -5, -5, -5, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [5, -5, -5, 5, 1, -1, -1, 1, 1, -1, 1, -1, 5, 5, 5, 5, -1, -1, -1, -1, -1, -1, 1, -1, 1, 0, -5, -5, -5, -5, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [5, -5, 5, -5, -1, 1, -1, 1, 1, -1, -1, 1, 5, 5, 5, 5, -1, -1, -1, -1, -1, 1, -1, -1, 1, 0, -5, -5, -5, -5, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 0, 0, 0, 1, -1, 1, 1, -1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [5, -5, 5, -5, 1, -1, -1, 1, -1, 1, -1, 1, 5, 5, 5, 5, -1, -1, -1, -1, -1, -1, 1, 1, -1, 0, -5, -5, -5, -5, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 0, 0, 0, -1, 1, -1, -1, 1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, -5, -5, -1, -1, 1, 1, 1, 1, -1, -1, 5, 5, 5, 5, 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1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, -1, -1], [6, -6, 6, -6, 0, 0, 2, -2, 0, 0, 2, -2, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, -1, -1], [6, 6, -6, -6, 0, 0, -2, -2, 0, 0, 2, 2, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [8, 8, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, -4, -4, -4, 8, 2, 2, -1, -1, -1, 0, 0, 0, 0, -2, -4, -4, 8, -4, -2, 2, -2, 4, -2, -2, -2, 4, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 1, 1, 1, -1, 1, 1, -1, 1, -1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 1, 1, 1, -2, 1], [8, 8, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, -4, -4, 8, -4, 2, -1, 2, -1, -1, 0, 0, 0, 0, -2, -4, 8, -4, -4, -2, 2, 4, -2, -2, 4, 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1, 1, 1, -2, 2, 2, 0, 0, 0, 10, -5, -5, -5, -2, -2, 1, 1, -2, 1, 1, 1, -2, -2, 1, -1, -1, 2, -1, 2, -1, -1, -1, 1, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [10, 10, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, -5, -5, -5, 10, -2, -2, 1, 1, 1, -2, -2, 0, 0, 0, -5, -5, 10, -5, 2, -2, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -2, 2, -1, -1, -1, 1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0], [10, 10, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, -5, -5, 10, -5, -2, 1, -2, 1, 1, -2, -2, 0, 0, 0, -5, 10, -5, -5, 2, -2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, 1, -1, -1, -1, 2, -2, -1, 2, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [10, 10, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, -5, 10, -5, -5, -2, 1, 1, -2, 1, -2, -2, 0, 0, 0, -5, -5, -5, 10, 2, -2, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, 1, -1, 2, -1, -1, 1, -1, -1, -2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0], [10, 10, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 10, -5, -5, -5, -2, 1, 1, 1, -2, -2, -2, 0, 0, 0, 10, -5, -5, -5, 2, -2, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 1, -1, -1, 2, -1, 1, 2, -1, 1, -1, -2, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [10, -10, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, -5, -5, -5, 10, -2, -2, 1, 1, 1, 2, -2, 0, 0, 0, 5, 5, -10, 5, 2, 2, 1, -2, 1, -1, 1, 2, -2, -1, -1, -2, 1, 1, 1, -1, 2, -1, -1, 2, 2, -2, 1, 1, 1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, -1, 1, 1, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0], [10, -10, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, -5, -5, 10, -5, -2, 1, -2, 1, 1, 2, -2, 0, 0, 0, 5, -10, 5, 5, 2, 2, -2, 1, 1, 2, 1, -1, -2, -1, -1, 1, 1, 1, -2, -1, -1, -1, 2, -1, -1, 1, 1, 1, -2, 2, -1, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 2, -1, 1, -2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [10, -10, 0, 0, -2, 2, -2, 2, 0, 0, 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ConvertToLibraryCharacterTableNC(chartbl_4320_ch);