# Group 1728.18214 downloaded from the LMFDB on 30 October 2025. 
 
## Various presentations of this group are stored in this file: 
#	 GPC is polycyclic presentation GPerm is permutation group 
#	 GLZ, GLFp, GLZA, GLZq, GLFq if they exist are matrix groups 
 
# Many characteristics of the group are stored as booleans in a record: 
#	 Agroup, Zgroup, abelian, almost_simple,cyclic, metabelian, 
#	 metacyclic, monomial, nilpotent, perfect, quasisimple, rational, 
#	 solvable, supersolvable 
 
# The character table is stored as 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 
GPC := PcGroupCode(83794401599935869968099203530011036990482072624311428739,1728); a := GPC.1; b := GPC.3; c := GPC.4; d := GPC.5;
GPerm := Group( (1,2,7,6)(3,12,17,28)(4,9,22,20)(5,11,23,10)(8,15,16,14)(13,29,33,42)(18,25,37,38)(19,21,27,26)(24,34,32,31)(30,43,46,48)(35,36,41,40)(39,45,47,44), (1,3,7,17)(2,8,6,16)(4,13,22,33)(5,15,23,14)(9,24,20,32)(10,28,11,12)(18,30,37,46)(19,34,27,31)(21,29,26,42)(25,39,38,47)(35,45,41,44)(36,43,40,48), (1,4,18)(2,9,25)(3,13,30)(5,19,35)(6,20,38)(7,22,37)(8,24,39)(10,26,40)(11,21,36)(12,29,43)(14,31,44)(15,34,45)(16,32,47)(17,33,46)(23,27,41)(28,42,48)(49,50,52)(51,53,55)(54,56,57), (49,51,54,50,53,56,52,55,57), (1,5,7,23)(2,10,6,11)(3,14,17,15)(4,19,22,27)(8,12,16,28)(9,26,20,21)(13,31,33,34)(18,35,37,41)(24,29,32,42)(25,40,38,36)(30,44,46,45)(39,43,47,48), (49,50,52)(51,53,55)(54,56,57), (1,5,7,23)(2,11,6,10)(3,15,17,14)(4,20,22,9)(8,12,16,28)(13,32,33,24)(18,36,37,40)(19,21,27,26)(25,41,38,35)(29,31,42,34)(30,43,46,48)(39,44,47,45), (1,6,7,2)(3,16,17,8)(4,21,22,26)(5,11,23,10)(9,27,20,19)(12,14,28,15)(13,29,33,42)(18,35,37,41)(24,31,32,34)(25,36,38,40)(30,45,46,44)(39,43,47,48), (1,7)(2,6)(3,17)(4,22)(5,23)(8,16)(9,20)(10,11)(12,28)(13,33)(14,15)(18,37)(19,27)(21,26)(24,32)(25,38)(29,42)(30,46)(31,34)(35,41)(36,40)(39,47)(43,48)(44,45) );

 
# Booleans 
booleans_1728_18214 := 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 := false,
solvable := true,
supersolvable := false); 

 
# Character Table 
chartbl_1728_18214:=rec(); 
chartbl_1728_18214.IsFinite:= true; 
chartbl_1728_18214.UnderlyingCharacteristic:= 0; 
chartbl_1728_18214.UnderlyingGroup:= GPC;
chartbl_1728_18214.Size:= 1728;
chartbl_1728_18214.InfoText:= "Character table for group 1728.18214 downloaded from the LMFDB."; 
chartbl_1728_18214.Identifier:= " C9*Q16.A4 "; 
chartbl_1728_18214.NrConjugacyClasses:= 234; 
chartbl_1728_18214.ConjugacyClasses:= [<identity> of ..., f7*f8*f9, f4, f1*f2*f4, f1*f2*f4*f5*f8, f9^2, f9, f2^2, f2*f7*f8*f9, f2^2*f9, f2*f7*f8, f2^2*f9^2, f2*f7*f8*f9^2, f6*f7*f9^2, f1*f2, f1*f2*f5*f8, f4*f6*f8^2, f7*f8, f7*f8*f9^2, f2, f2^2*f7*f8*f9, f2*f9^2, f2^2*f7*f8*f9^2, f2*f9, f2^2*f7*f8, f4*f9, f4*f9^2, f1*f2*f4*f9, f1*f2*f4*f9^2, f1*f2*f4*f5*f8*f9^2, f1*f2*f4*f5*f8*f9, f5*f6*f7*f8*f9^2, f5*f7*f8^2*f9, f4*f5*f8, f8^2, f8*f9^2, f8*f9, f8^2*f9, f8^2*f9^2, f8, f2^2*f8*f9, f2*f7, f2*f7*f9, f2^2*f8, f2^2*f8*f9^2, f2*f7*f9^2, f2^2*f8^2, f2*f7*f8^2, f2*f7*f8^2*f9^2, f2^2*f8^2*f9, f2^2*f8^2*f9^2, f2*f7*f8^2*f9, f6*f7, f6*f8^2*f9^2, f1*f2*f7*f8*f9^2, f1*f2*f9^2, f1*f2*f5*f7*f8^2, f1*f2*f5*f8*f9, f4*f6*f7, f4*f6*f8^2*f9^2, f2^2*f6*f8^2, f2*f6*f8^2, f2^2*f6*f7, f2*f6*f7*f9, f2*f6*f8^2*f9, f2^2*f6*f8^2*f9^2, f1, f1*f2^2, f1*f9, f1*f2^2*f9^2, f1*f9^2, f1*f2^2*f9, f1*f5*f8, f1*f2^2*f5*f8, f1*f5*f6, f1*f2^2*f5*f8*f9, f1*f5*f8*f9, f1*f2^2*f5*f6, f7*f9^2, f7*f8^2, f7*f8^2*f9, f7*f9, f7, f7*f8^2*f9^2, f2*f8^2, f2^2*f7*f8^2, f2^2*f7*f8^2*f9, f2*f8^2*f9^2, f2*f8^2*f9, f2^2*f7*f8^2*f9^2, f2*f8, f2^2*f7*f9, f2^2*f7, f2*f8*f9, f2*f8*f9^2, f2^2*f7*f9^2, f4*f8, f4*f7*f9, f4*f7, f4*f8*f9, f3*f4*f6, f4*f8^2, f1*f2*f4*f8, f1*f2*f4*f7*f9, f1*f2*f4*f7, f1*f2*f4*f8*f9, f1*f2*f4*f6, f1*f2*f4*f8^2, f1*f2*f4*f5, f1*f2*f4*f5*f8^2, f1*f2*f4*f5*f7, f1*f2*f4*f5*f9^2, f1*f2*f4*f5*f9, f1*f2*f4*f5*f7*f9, f5*f6, f5*f7*f8^2*f9^2, f5*f6*f7*f8, f5*f8*f9^2, f2*f5*f8, f2^2*f5*f6*f9, f2^2*f5*f8, f2*f5*f6*f9, f2*f5*f6, f2^2*f5*f8*f9, f2^2*f5*f6*f9^2, f2*f3*f5*f6, f2^2*f5*f6, f2*f5*f8*f9, f2*f5*f6*f9^2, f2^2*f4*f5*f6, f4*f5*f6, f4*f5*f7*f8^2*f9^2, f6, f6*f7*f8^2*f9^2, f6*f8, f6*f7*f8*f9^2, f6*f7*f8, f6*f8*f9^2, f1*f2*f8, f1*f2*f7*f9, f1*f2*f7, f1*f2*f8*f9, f1*f2*f6, f1*f2*f8^2, f1*f2*f5, f1*f2*f5*f8^2, f1*f2*f5*f7, f1*f2*f5*f9^2, f1*f2*f5*f9, f1*f2*f5*f7*f9, f4*f6, f3*f4*f8^2, f4*f6*f8, f4*f6*f9, f4*f6*f9^2, f3*f4*f7, f2^2*f6, f2*f6*f8*f9, f2*f6*f7*f8^2*f9, f2^2*f6*f7*f8*f9^2, f2^2*f6*f7*f8, f2*f6*f7*f8^2, f2*f6*f7*f8*f9, f2^2*f6*f7*f8^2*f9^2, f2^2*f6*f8, f2*f6*f9, f2*f6*f9^2, f2^2*f6*f8*f9^2, f1*f8, f1*f2^2*f7*f9, f1*f2^2*f7, f1*f8*f9, f1*f6, f1*f2^2*f8^2, f1*f7, f1*f2^2*f8*f9, f1*f2^2*f6, f1*f8^2, f1*f7*f9, f1*f2^2*f8, f1*f5, f1*f2^2*f5*f8^2, f1*f2^2*f5*f7, f1*f5*f9^2, f1*f5*f9, f1*f2^2*f5*f7*f9, f1*f5*f7, f1*f2^2*f5*f9^2, f1*f2^2*f5*f9, f1*f5*f7*f9, f1*f5*f8^2, f1*f2^2*f5, f5, f5*f8^2, f5*f7, f5*f7*f8, f5*f9, f5*f8^2*f9^2, f5*f7*f9, f5*f7*f8*f9^2, f5*f6*f8^2, f5*f7*f9^2, f5*f8^2*f9, f5*f9^2, f2*f5, f2^2*f5*f7*f9^2, f2^2*f3*f5*f7, f2*f5*f7*f8, f2*f5*f9, f2^2*f5*f7*f9, f2^2*f5*f8^2*f9^2, f2*f4*f5*f9, f2*f4*f5, f2^2*f5*f8^2, f2^2*f5*f7, f2*f5*f9^2, f2^2*f5, f2*f5*f7*f9^2, f2*f4*f5*f7, f2^2*f5*f7*f8, f2^2*f5*f9, f2*f5*f7*f9, f2*f5*f8^2*f9^2, f2^2*f3*f5*f9, f2^2*f3*f5, f2*f5*f8^2, f2*f5*f7, f2^2*f5*f9^2, f4*f5, f4*f5*f8^2, f4*f5*f7, f4*f5*f9^2, f4*f5*f9, f4*f5*f7*f9];
chartbl_1728_18214.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, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234];
chartbl_1728_18214.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 7, 6, 9, 8, 11, 10, 13, 12, 2, 2, 2, 2, 7, 6, 8, 9, 10, 11, 12, 13, 6, 7, 6, 7, 7, 6, 14, 14, 14, 37, 38, 39, 40, 36, 35, 43, 44, 45, 46, 42, 41, 49, 50, 51, 52, 48, 47, 18, 19, 18, 19, 19, 18, 18, 19, 20, 21, 22, 23, 25, 24, 20, 21, 22, 23, 24, 25, 20, 21, 24, 25, 22, 23, 37, 38, 35, 36, 40, 39, 41, 42, 46, 45, 44, 43, 47, 48, 52, 51, 50, 49, 35, 36, 40, 39, 38, 37, 35, 36, 40, 39, 38, 37, 36, 35, 39, 40, 37, 38, 53, 54, 54, 53, 61, 62, 62, 61, 63, 64, 64, 63, 65, 66, 66, 65, 53, 54, 83, 84, 80, 79, 82, 81, 79, 80, 81, 82, 83, 84, 80, 79, 82, 81, 84, 83, 83, 84, 80, 79, 82, 81, 89, 90, 86, 85, 88, 87, 93, 94, 95, 96, 92, 91, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 95, 96, 92, 91, 94, 93, 88, 87, 90, 89, 85, 86, 133, 134, 135, 136, 137, 138, 138, 137, 133, 134, 135, 136, 157, 158, 159, 160, 161, 162, 162, 161, 157, 158, 159, 160, 163, 164, 165, 166, 167, 168, 168, 167, 163, 164, 165, 166, 133, 134, 135, 136, 137, 138], [1, 2, 3, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 14, 15, 16, 17, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 33, 32, 34, 6, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 7, 14, 14, 15, 15, 16, 16, 17, 17, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 18, 19, 19, 18, 18, 19, 18, 19, 19, 18, 18, 19, 19, 18, 18, 19, 19, 18, 26, 27, 27, 26, 26, 27, 28, 29, 29, 28, 28, 29, 30, 31, 31, 30, 30, 31, 32, 32, 33, 33, 32, 32, 33, 33, 33, 33, 32, 32, 32, 32, 33, 33, 34, 34, 53, 54, 54, 53, 53, 54, 55, 56, 56, 55, 55, 56, 57, 58, 58, 57, 57, 58, 59, 60, 60, 59, 59, 60, 53, 54, 54, 53, 53, 54, 53, 54, 54, 53, 53, 54, 55, 56, 56, 55, 55, 56, 56, 55, 55, 56, 56, 55, 57, 58, 58, 57, 57, 58, 58, 57, 57, 58, 58, 57, 115, 116, 117, 118, 115, 116, 117, 118, 118, 117, 116, 115, 118, 117, 116, 115, 118, 117, 116, 115, 115, 116, 117, 118, 115, 116, 117, 118, 115, 116, 117, 118, 118, 117, 116, 115, 131, 132, 132, 131, 131, 132]];
chartbl_1728_18214.SizesCentralizers:= [1728, 1728, 288, 144, 144, 1728, 1728, 432, 432, 432, 432, 432, 432, 864, 432, 432, 288, 1728, 1728, 432, 432, 432, 432, 432, 432, 288, 288, 144, 144, 144, 144, 864, 864, 144, 1728, 1728, 1728, 1728, 1728, 1728, 432, 432, 432, 432, 432, 432, 432, 432, 432, 432, 432, 432, 864, 864, 432, 432, 432, 432, 288, 288, 216, 216, 216, 216, 216, 216, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 1728, 1728, 1728, 1728, 1728, 1728, 432, 432, 432, 432, 432, 432, 432, 432, 432, 432, 432, 432, 288, 288, 288, 288, 288, 288, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 864, 864, 864, 864, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 144, 144, 864, 864, 864, 864, 864, 864, 432, 432, 432, 432, 432, 432, 432, 432, 432, 432, 432, 432, 288, 288, 288, 288, 288, 288, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 864, 864, 864, 864, 864, 864, 864, 864, 864, 864, 864, 864, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 144, 144, 144, 144, 144, 144];
chartbl_1728_18214.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "3A1", "3A-1", "3B1", "3B-1", "3C1", "3C-1", "3D1", "3D-1", "4A", "4B", "4C", "4D", "6A1", "6A-1", "6B1", "6B-1", "6C1", "6C-1", "6D1", "6D-1", "6E1", "6E-1", "6F1", "6F-1", "6G1", "6G-1", "8A1", "8A3", "8B", "9A1", "9A-1", "9A2", "9A-2", "9A4", "9A-4", "9B1", "9B-1", "9B2", "9B-2", "9B4", "9B-4", "9C1", "9C-1", "9C2", "9C-2", "9C4", "9C-4", "12A1", "12A-1", "12B1", "12B-1", "12C1", "12C-1", "12D1", "12D-1", "12E1", "12E-1", "12F1", "12F-1", "12G1", "12G-1", "12H1", "12H-1", "12I1", "12I-1", "12J1", "12J-1", "12K1", "12K-1", "12L1", "12L-1", "12M1", "12M-1", "18A1", "18A-1", "18A5", "18A-5", "18A7", "18A-7", "18B1", "18B-1", "18B5", "18B-5", "18B7", "18B-7", "18C1", "18C-1", "18C5", "18C-5", "18C7", "18C-7", "18D1", "18D-1", "18D5", "18D-5", "18D7", "18D-7", "18E1", "18E-1", "18E5", "18E-5", "18E7", "18E-7", "18F1", "18F-1", "18F5", "18F-5", "18F7", "18F-7", "24A1", "24A-1", "24A5", "24A-5", "24B1", "24B-1", "24B5", "24B-5", "24C1", "24C-1", "24C5", "24C-5", "24D1", "24D-1", "24D5", "24D-5", "24E1", "24E-1", "36A1", "36A-1", "36A5", "36A-5", "36A7", "36A-7", "36B1", "36B-1", "36B5", "36B-5", "36B7", "36B-7", "36C1", "36C-1", "36C5", "36C-5", "36C7", "36C-7", "36D1", "36D-1", "36D5", "36D-5", "36D7", "36D-7", "36E1", "36E-1", "36E5", "36E-5", "36E7", "36E-7", "36F1", "36F-1", "36F5", "36F-5", "36F7", "36F-7", "36G1", "36G-1", "36G5", "36G-5", "36G7", "36G-7", "36H1", "36H-1", "36H5", "36H-5", "36H7", "36H-7", "36I1", "36I-1", "36I5", "36I-5", "36I7", "36I-7", "36J1", "36J-1", "36J5", "36J-5", "36J7", "36J-7", "72A1", "72A-1", "72A5", "72A-5", "72A7", "72A-7", "72A11", "72A-11", "72A19", "72A-19", "72A23", "72A-23", "72B1", "72B-1", "72B5", "72B-5", "72B7", "72B-7", "72B11", "72B-11", "72B19", "72B-19", "72B23", "72B-23", "72C1", "72C-1", "72C5", "72C-5", "72C7", "72C-7", "72C11", "72C-11", "72C19", "72C-19", "72C23", "72C-23", "72D1", "72D-1", "72D5", "72D-5", "72D7", "72D-7"];
chartbl_1728_18214.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72];
chartbl_1728_18214.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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], [1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], [1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, 1, E(3), 1, E(3), 1, 1, 1, 1, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3), E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, 1, 1, 1, E(3), 1, E(3)^-1, E(3), E(3), E(3)^-1, 1, 1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3), 1, 1, 1, 1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, 1, 1, E(3), E(3)^-1, 1, 1, 1, 1, E(3), E(3), E(3)^-1, E(3), 1, E(3), 1, E(3)^-1, E(3)^-1, 1, 1, E(3)^-1, 1, 1, E(3), E(3), E(3), 1, 1, 1, E(3), E(3)^-1, E(3)^-1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, 1, 1, E(3), 1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), 1, E(3)^-1, 1, E(3)^-1, E(3)^-1, E(3), 1, 1, 1, E(3), 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)], [1, 1, 1, 1, 1, 1, 1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), 1, E(3)^-1, 1, E(3)^-1, 1, 1, 1, 1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), 1, 1, 1, E(3)^-1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 1, 1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), 1, 1, E(3)^-1, E(3), 1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, 1, E(3)^-1, 1, E(3), E(3), 1, 1, E(3), 1, 1, E(3)^-1, E(3)^-1, E(3)^-1, 1, 1, 1, E(3)^-1, E(3), E(3), 1, 1, 1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), 1, 1, E(3)^-1, 1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, 1, E(3), 1, E(3), E(3), E(3)^-1, 1, 1, 1, E(3)^-1, 1, 1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1], [1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, 1, E(3)^-1, 1, E(3), 1, E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3), E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, 1, E(3)^-1, 1, 1, 1, 1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, 1, 1, 1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, 1, 1, E(3)^-1, E(3), 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 1, 1, 1, 1, E(3), 1, E(3)^-1, 1, 1, E(3)^-1, E(3)^-1, 1, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 2, 0, 0, 6*E(9)^-3, 6*E(9)^3, 0, 0, 0, 0, 0, 0, -6, 0, 0, -2, 6*E(9)^-3, 6*E(9)^3, 0, 0, 0, 0, 0, 0, 2*E(9)^3, 2*E(9)^-3, 0, 0, 0, 0, 0, 0, 0, 6*E(9)^-2, 6*E(9), 6*E(9)^4, 6*E(9)^2, 6*E(9)^-4, 6*E(9)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6*E(9)^3, -6*E(9)^-3, 0, 0, 0, 0, -2*E(9)^3, -2*E(9)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6*E(9)^-1, 6*E(9), 6*E(9)^4, 6*E(9)^-4, 6*E(9)^2, 6*E(9)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(9)^-2, 2*E(9)^2, 2*E(9), 2*E(9)^-1, 2*E(9)^-4, 2*E(9)^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, -6*E(9), -6*E(9)^2, -6*E(9)^-4, -6*E(9)^-1, -6*E(9)^-2, -6*E(9)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9)^-1, -2*E(9)^4, -2*E(9)^-2, -2*E(9), -2*E(9)^2, -2*E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 2, 0, 0, 6*E(9)^3, 6*E(9)^-3, 0, 0, 0, 0, 0, 0, -6, 0, 0, -2, 6*E(9)^3, 6*E(9)^-3, 0, 0, 0, 0, 0, 0, 2*E(9)^-3, 2*E(9)^3, 0, 0, 0, 0, 0, 0, 0, 6*E(9)^2, 6*E(9)^-1, 6*E(9)^-4, 6*E(9)^-2, 6*E(9)^4, 6*E(9), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6*E(9)^-3, -6*E(9)^3, 0, 0, 0, 0, -2*E(9)^-3, -2*E(9)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6*E(9), 6*E(9)^-1, 6*E(9)^-4, 6*E(9)^4, 6*E(9)^-2, 6*E(9)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(9)^2, 2*E(9)^-2, 2*E(9)^-1, 2*E(9), 2*E(9)^4, 2*E(9)^-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, -6*E(9)^-1, -6*E(9)^-2, -6*E(9)^4, -6*E(9), -6*E(9)^2, -6*E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9), -2*E(9)^-4, -2*E(9)^2, -2*E(9)^-1, -2*E(9)^-2, -2*E(9)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 2, 0, 0, 6*E(9)^-3, 6*E(9)^3, 0, 0, 0, 0, 0, 0, -6, 0, 0, -2, 6*E(9)^-3, 6*E(9)^3, 0, 0, 0, 0, 0, 0, 2*E(9)^3, 2*E(9)^-3, 0, 0, 0, 0, 0, 0, 0, 6*E(9), 6*E(9)^4, 6*E(9)^-2, 6*E(9)^-1, 6*E(9)^2, 6*E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6*E(9)^3, -6*E(9)^-3, 0, 0, 0, 0, -2*E(9)^3, -2*E(9)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6*E(9)^-4, 6*E(9)^4, 6*E(9)^-2, 6*E(9)^2, 6*E(9)^-1, 6*E(9), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(9), 2*E(9)^-1, 2*E(9)^4, 2*E(9)^-4, 2*E(9)^2, 2*E(9)^-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, -6*E(9)^4, -6*E(9)^-1, -6*E(9)^2, -6*E(9)^-4, -6*E(9), -6*E(9)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9)^-4, -2*E(9)^-2, -2*E(9), -2*E(9)^4, -2*E(9)^-1, -2*E(9)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 2, 0, 0, 6*E(9)^3, 6*E(9)^-3, 0, 0, 0, 0, 0, 0, -6, 0, 0, -2, 6*E(9)^3, 6*E(9)^-3, 0, 0, 0, 0, 0, 0, 2*E(9)^-3, 2*E(9)^3, 0, 0, 0, 0, 0, 0, 0, 6*E(9)^-1, 6*E(9)^-4, 6*E(9)^2, 6*E(9), 6*E(9)^-2, 6*E(9)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6*E(9)^-3, -6*E(9)^3, 0, 0, 0, 0, -2*E(9)^-3, -2*E(9)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6*E(9)^4, 6*E(9)^-4, 6*E(9)^2, 6*E(9)^-2, 6*E(9), 6*E(9)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(9)^-1, 2*E(9), 2*E(9)^-4, 2*E(9)^4, 2*E(9)^-2, 2*E(9)^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, -6*E(9)^-4, -6*E(9), -6*E(9)^-2, -6*E(9)^4, -6*E(9)^-1, -6*E(9)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9)^4, -2*E(9)^2, -2*E(9)^-1, -2*E(9)^-4, -2*E(9), -2*E(9)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]];
ConvertToLibraryCharacterTableNC(chartbl_1728_18214);