# Group 1600.299 downloaded from the LMFDB on 14 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 
GPC := PcGroupCode(21200014464347714264260929435620181336046829583,1600); a := GPC.1; b := GPC.2; c := GPC.4; d := GPC.5;
GPerm := Group( (2,4)(5,6)(7,8)(9,10)(11,12)(14,16)(15,19)(17,22)(18,25)(20,28)(21,27)(23,30)(24,32)(26,34)(29,35)(31,36)(33,37), (1,2,3,4)(5,6)(7,8)(10,12), (1,3)(2,4)(5,7,6,8)(9,10,11,12), (5,6)(7,8)(9,11)(10,12), (1,3)(2,4), (1,3)(2,4)(9,11)(10,12), (13,14,17,23,21,15,18,24,31,29,20,26,33,37,34,28,35,36,32,25,19,27,30,22,16), (13,15,20,28,19)(14,18,26,35,27)(16,21,29,34,25)(17,24,33,36,30)(22,23,31,37,32) );

 
# Booleans 
booleans_1600_299 := rec( 
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := true,
metacyclic := false,
monomial := true,
nilpotent := false,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := true); 

 
# Character Table 
chartbl_1600_299:=rec(); 
chartbl_1600_299.IsFinite:= true; 
chartbl_1600_299.UnderlyingCharacteristic:= 0; 
chartbl_1600_299.UnderlyingGroup:= GPC;
chartbl_1600_299.Size:= 1600;
chartbl_1600_299.InfoText:= "Character table for group 1600.299 downloaded from the LMFDB."; 
chartbl_1600_299.Identifier:= " (C2*C4).D100 "; 
chartbl_1600_299.NrConjugacyClasses:= 268; 
chartbl_1600_299.ConjugacyClasses:= [<identity> of ..., f4, f4*f6*f7^2*f8^2, f3*f6*f7^2*f8^2, f3*f4*f6*f7^2*f8^2, f6*f7^2*f8^2, f3, f3*f4, f1*f6*f7^3*f8^2, f1*f3*f4*f6*f7*f8^2, f2, f2*f3, f2*f6*f7^2*f8^2, f2*f3*f6*f7^2*f8^2, f5*f7*f8, f3*f5*f7*f8, f2*f5*f7*f8, f2*f3*f4*f5*f7*f8, f1*f4*f5*f7^2*f8^2, f1*f5*f6*f7^4*f8^4, f1*f2*f3*f5*f6*f7^4*f8, f1*f2*f4*f5*f7^2*f8^4, f1*f3*f5*f7*f8, f1*f3*f4*f5*f6*f7^3*f8^3, f1*f2*f5*f7^2, f1*f2*f3*f4*f5*f6*f7^4*f8^2, f1*f2*f3*f4*f6*f7^4*f8, f1*f2*f7^2*f8^4, f8^2, f8^4, f4*f8, f4*f8^3, f4*f6*f7^2, f4*f6*f7^2*f8, f3*f6*f7^2, f3*f6*f7^2*f8, f3*f4*f6*f7^2, f3*f4*f6*f7^2*f8, f6*f7^2, f6*f7^2*f8, f3*f8^2, f3*f8, f3*f4*f8^3, f3*f4*f8^4, f5*f7, f5*f6*f7^3, f5*f6*f7^3*f8, f5*f7*f8^2, f3*f5*f7, f3*f5*f6*f7^3, f3*f5*f6*f7^3*f8, f3*f5*f7*f8^2, f2*f8, f2*f3*f8^4, f2*f3*f8^3, f2*f8^2, f2*f6*f7^2, f2*f3*f6*f7^2*f8^4, f2*f3*f6*f7^2*f8, f2*f6*f7^2*f8^3, f2*f5*f7, f2*f3*f4*f5*f7*f8^2, f2*f3*f4*f5*f7*f8^3, f2*f5*f7*f8^4, f2*f3*f4*f5*f7*f8^4, f2*f5*f7*f8^3, f2*f5*f7*f8^2, f2*f3*f4*f5*f7, f7^2, f7^4, f7*f8, f7^3*f8, f7^2*f8^2, f7^4*f8^2, f7*f8^3, f7^3*f8^3, f7^2*f8^4, f7^4*f8^4, f4*f7, f4*f7^3, f4*f7^2*f8, f4*f7*f8^3, f4*f7*f8^2, f4*f7^2*f8^2, f4*f7^3*f8, f4*f7*f8, f4*f7^4, f4*f7^2, f4*f6, f4*f6*f7, f4*f6*f7^3, f4*f6*f8^4, f4*f6*f8, f4*f6*f7*f8, f4*f6*f7*f8^3, f4*f6*f8^3, f4*f6*f8^2, f4*f6*f7*f8^2, f3*f6, f3*f6*f7, f3*f6*f7^3, f3*f6*f8^4, f3*f6*f8, f3*f6*f7*f8, f3*f6*f7*f8^3, f3*f6*f8^3, f3*f6*f8^2, f3*f6*f7*f8^2, f3*f4*f6, f3*f4*f6*f7, f3*f4*f6*f7^3, f3*f4*f6*f8^4, f3*f4*f6*f8, f3*f4*f6*f7*f8, f3*f4*f6*f7*f8^3, f3*f4*f6*f8^3, f3*f4*f6*f8^2, f3*f4*f6*f7*f8^2, f6, f6*f7, f6*f7^3, f6*f7^4, f6*f8, f6*f7*f8, f6*f7^3*f8, f6*f7^4*f8, f6*f8^2, f6*f7*f8^2, f3*f7^2, f3*f7*f8, f3*f7^4*f8^2, f3*f7^3*f8^3, f3*f7^2*f8^4, f3*f7, f3*f7^4*f8, f3*f7^3*f8^2, f3*f7^2*f8^3, f3*f7*f8^4, f3*f4*f7^3*f8^2, f3*f4*f7^4*f8^2, f3*f4*f7*f8^3, f3*f4*f7^2*f8^3, f3*f4*f7^3*f8^3, f3*f4*f7^4*f8^3, f3*f4*f7*f8^4, f3*f4*f7^2*f8^4, f3*f4*f7^3*f8^4, f3*f4*f7^4*f8^4, f5, f5*f6, f5*f6*f7, f5*f7^2, f5*f6*f7^2, f5*f7^3, f5*f7^4, f5*f8^4, f5*f8, f5*f6*f8, f5*f7^3*f8^3, f4*f5*f8, f5*f7^2*f8^3, f5*f7^3*f8, f5*f6*f8^3, f5*f8^3, f5*f8^2, f5*f6*f8^2, f4*f5*f6, f4*f5, f3*f5, f3*f5*f6, f3*f5*f6*f7, f3*f5*f7^2, f3*f5*f6*f7^2, f3*f5*f7^3, f3*f5*f7^4, f3*f5*f8^4, f3*f5*f8, f3*f5*f6*f8, f3*f5*f7^3*f8^3, f3*f4*f5*f8, f3*f5*f7^2*f8^3, f3*f5*f7^3*f8, f3*f5*f6*f8^3, f3*f5*f8^3, f3*f5*f8^2, f3*f5*f6*f8^2, f3*f4*f5*f6, f3*f4*f5, f2*f7, f2*f3*f7, f2*f3*f7^3, f2*f7^3, f2*f3*f7^2*f8, f2*f7^2*f8, f2*f7*f8^3, f2*f3*f7*f8^3, f2*f3*f7*f8^2, f2*f7*f8^2, f2*f4*f6, f2*f3*f4*f6, f2*f7^3*f8, f2*f3*f7^3*f8, f2*f3*f7*f8, f2*f7*f8, f2*f7^4, f2*f3*f7^4, f2*f3*f7^2, f2*f7^2, f2*f6, f2*f3*f6, f2*f3*f6*f7, f2*f6*f7, f2*f3*f6*f7^3, f2*f6*f7^3, f2*f6*f8^4, f2*f3*f6*f8^4, f2*f3*f6*f8, f2*f6*f8, f2*f6*f7*f8, f2*f3*f6*f7*f8, f2*f4*f7^4, f2*f3*f4*f7^4, f2*f3*f6*f8^3, f2*f6*f8^3, f2*f6*f8^2, f2*f3*f6*f8^2, f2*f3*f4*f7, f2*f4*f7, f2*f5, f2*f3*f5, f2*f3*f5*f6, f2*f5*f6, f2*f3*f5*f6*f7, f2*f5*f6*f7, f2*f5*f7^2, f2*f3*f5*f7^2, f2*f3*f5*f6*f7^2, f2*f5*f6*f7^2, f2*f5*f7^3, f2*f3*f5*f7^3, f2*f5*f7^4, f2*f3*f5*f7^4, f2*f3*f5*f8^4, f2*f5*f8^4, f2*f5*f8, f2*f3*f5*f8, f2*f3*f5*f6*f8, f2*f5*f6*f8, f2*f3*f5*f7^3*f8^3, f2*f5*f7^3*f8^3, f2*f4*f5*f8, f2*f3*f4*f5*f8, f2*f3*f5*f7^2*f8^3, f2*f5*f7^2*f8^3, f2*f5*f7^3*f8, f2*f3*f5*f7^3*f8, f2*f5*f6*f8^3, f2*f3*f5*f6*f8^3, f2*f3*f5*f8^3, f2*f5*f8^3, f2*f5*f8^2, f2*f3*f5*f8^2, f2*f3*f5*f6*f8^2, f2*f5*f6*f8^2, f2*f3*f4*f5*f6, f2*f4*f5*f6, f2*f4*f5, f2*f3*f4*f5];
chartbl_1600_299.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, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268];
chartbl_1600_299.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 6, 6, 8, 8, 3, 3, 5, 5, 3, 3, 5, 5, 5, 5, 30, 29, 29, 30, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 39, 40, 40, 39, 39, 40, 40, 39, 41, 41, 42, 42, 42, 42, 41, 41, 43, 43, 44, 44, 44, 44, 43, 43, 70, 72, 73, 75, 78, 77, 76, 74, 71, 69, 69, 71, 74, 76, 77, 78, 75, 73, 72, 70, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 70, 73, 77, 74, 71, 69, 76, 78, 75, 72, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 129, 129, 130, 130, 131, 131, 132, 132, 133, 133, 134, 134, 135, 135, 136, 136, 137, 137, 138, 138, 134, 134, 133, 133, 132, 132, 135, 135, 131, 131, 136, 136, 137, 137, 130, 130, 138, 138, 129, 129, 139, 139, 140, 140, 141, 141, 142, 142, 143, 143, 144, 144, 145, 145, 146, 146, 147, 147, 148, 148, 148, 148, 147, 147, 146, 146, 145, 145, 144, 144, 143, 143, 142, 142, 141, 141, 140, 140, 139, 139], [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, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 15, 15, 15, 15, 16, 16, 16, 16, 11, 12, 12, 11, 13, 14, 14, 13, 17, 18, 18, 17, 18, 17, 17, 18, 29, 30, 30, 29, 29, 30, 30, 29, 29, 30, 31, 32, 32, 31, 31, 32, 32, 31, 31, 32, 33, 34, 34, 33, 33, 34, 34, 33, 33, 34, 35, 36, 36, 35, 35, 36, 36, 35, 35, 36, 37, 38, 38, 37, 37, 38, 38, 37, 37, 38, 39, 40, 40, 39, 39, 40, 40, 39, 39, 40, 41, 42, 42, 41, 41, 42, 42, 41, 41, 42, 43, 44, 44, 43, 43, 44, 44, 43, 43, 44, 45, 46, 47, 48, 48, 47, 46, 45, 45, 46, 47, 48, 48, 47, 46, 45, 45, 46, 47, 48, 49, 50, 51, 52, 52, 51, 50, 49, 49, 50, 51, 52, 52, 51, 50, 49, 49, 50, 51, 52, 53, 54, 55, 56, 55, 56, 53, 54, 54, 53, 56, 55, 56, 55, 54, 53, 53, 54, 55, 56, 57, 58, 59, 60, 59, 60, 57, 58, 58, 57, 60, 59, 60, 59, 58, 57, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 68, 67, 66, 65, 64, 63, 62, 61, 61, 62, 63, 64, 65, 66, 67, 68, 68, 67, 66, 65, 64, 63, 62, 61, 61, 62, 63, 64, 65, 66, 67, 68]];
chartbl_1600_299.SizesCentralizers:= [1600, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 16, 16, 800, 800, 800, 800, 400, 400, 400, 400, 32, 32, 32, 32, 32, 32, 32, 32, 16, 16, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400];
chartbl_1600_299.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "2I", "4A1", "4A-1", "4B1", "4B-1", "4C", "4D", "4E1", "4E-1", "4F1", "4F-1", "4G1", "4G-1", "4H1", "4H-1", "4I1", "4I-1", "4J1", "4J-1", "5A1", "5A2", "10A1", "10A3", "10B1", "10B3", "10C1", "10C3", "10D1", "10D3", "10E1", "10E3", "10F1", "10F3", "10G1", "10G3", "20A1", "20A3", "20A7", "20A9", "20B1", "20B3", "20B7", "20B9", "20C1", "20C-1", "20C3", "20C-3", "20D1", "20D-1", "20D3", "20D-3", "20E1", "20E-1", "20E3", "20E-3", "20E7", "20E-7", "20E9", "20E-9", "25A1", "25A2", "25A3", "25A4", "25A6", "25A7", "25A8", "25A9", "25A11", "25A12", "50A1", "50A3", "50A7", "50A9", "50A11", "50A13", "50A17", "50A19", "50A21", "50A23", "50B1", "50B3", "50B7", "50B9", "50B11", "50B13", "50B17", "50B19", "50B21", "50B23", "50C1", "50C3", "50C7", "50C9", "50C11", "50C13", "50C17", "50C19", "50C21", "50C23", "50D1", "50D3", "50D7", "50D9", "50D11", "50D13", "50D17", "50D19", "50D21", "50D23", "50E1", "50E3", "50E7", "50E9", "50E11", "50E13", "50E17", "50E19", "50E21", "50E23", "50F1", "50F3", "50F7", "50F9", "50F11", "50F13", "50F17", "50F19", "50F21", "50F23", "50G1", "50G3", "50G7", "50G9", "50G11", "50G13", "50G17", "50G19", "50G21", "50G23", "100A1", "100A3", "100A7", "100A9", "100A11", "100A13", "100A17", "100A19", "100A21", "100A23", "100A27", "100A29", "100A31", "100A33", "100A37", "100A39", "100A41", "100A43", "100A47", "100A49", "100B1", "100B3", "100B7", "100B9", "100B11", "100B13", "100B17", "100B19", "100B21", "100B23", "100B27", "100B29", "100B31", "100B33", "100B37", "100B39", "100B41", "100B43", "100B47", "100B49", "100C1", "100C-1", "100C3", "100C-3", "100C7", "100C-7", "100C9", "100C-9", "100C11", "100C-11", "100C13", "100C-13", "100C17", "100C-17", "100C19", "100C-19", "100C21", "100C-21", "100C23", "100C-23", "100D1", "100D-1", "100D3", "100D-3", "100D7", "100D-7", "100D9", "100D-9", "100D11", "100D-11", "100D13", "100D-13", "100D17", "100D-17", "100D19", "100D-19", "100D21", "100D-21", "100D23", "100D-23", "100E1", "100E-1", "100E3", "100E-3", "100E7", "100E-7", "100E9", "100E-9", "100E11", "100E-11", "100E13", "100E-13", "100E17", "100E-17", "100E19", "100E-19", "100E21", "100E-21", "100E23", "100E-23", "100E27", "100E-27", "100E29", "100E-29", "100E31", "100E-31", "100E33", "100E-33", "100E37", "100E-37", "100E39", "100E-39", "100E41", "100E-41", "100E43", "100E-43", "100E47", "100E-47", "100E49", "100E-49"];
chartbl_1600_299.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100];
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E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, E(25)^10+E(25)^-10, E(25)^10+E(25)^-10, E(25)^10+E(25)^-10, E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, E(25)^10+E(25)^-10, E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, E(25)^10+E(25)^-10, E(25)^10+E(25)^-10, E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, E(25)^10+E(25)^-10, E(25)^10+E(25)^-10, E(25)^10+E(25)^-10, E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, E(25)^10+E(25)^-10, E(25)^5+E(25)^-5, E(25)^10+E(25)^-10, E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, E(25)^10+E(25)^-10, E(25)^10+E(25)^-10, E(25)^10+E(25)^-10, E(25)^10+E(25)^-10, E(25)+E(25)^-1, E(25)^6+E(25)^-6, E(25)^11+E(25)^-11, E(25)^2+E(25)^-2, E(25)^4+E(25)^-4, E(25)^3+E(25)^-3, E(25)^12+E(25)^-12, E(25)^7+E(25)^-7, E(25)^9+E(25)^-9, E(25)^8+E(25)^-8, E(25)^7+E(25)^-7, E(25)^11+E(25)^-11, E(25)+E(25)^-1, E(25)^9+E(25)^-9, E(25)^3+E(25)^-3, E(25)^4+E(25)^-4, E(25)^6+E(25)^-6, E(25)^11+E(25)^-11, E(25)^8+E(25)^-8, E(25)^3+E(25)^-3, E(25)^2+E(25)^-2, E(25)^8+E(25)^-8, E(25)^2+E(25)^-2, E(25)^7+E(25)^-7, E(25)^12+E(25)^-12, E(25)^12+E(25)^-12, E(25)^7+E(25)^-7, E(25)^8+E(25)^-8, E(25)^3+E(25)^-3, E(25)^4+E(25)^-4, E(25)^6+E(25)^-6, E(25)^4+E(25)^-4, E(25)^6+E(25)^-6, E(25)^7+E(25)^-7, E(25)^11+E(25)^-11, E(25)^9+E(25)^-9, E(25)+E(25)^-1, E(25)^9+E(25)^-9, E(25)^7+E(25)^-7, E(25)^12+E(25)^-12, E(25)^11+E(25)^-11, E(25)^8+E(25)^-8, E(25)^2+E(25)^-2, E(25)+E(25)^-1, E(25)^2+E(25)^-2, E(25)^8+E(25)^-8, E(25)^3+E(25)^-3, E(25)^12+E(25)^-12, E(25)^6+E(25)^-6, E(25)^4+E(25)^-4, E(25)^9+E(25)^-9, E(25)^4+E(25)^-4, E(25)^6+E(25)^-6, E(25)+E(25)^-1, E(25)^11+E(25)^-11, E(25)+E(25)^-1, E(25)^6+E(25)^-6, E(25)^8+E(25)^-8, E(25)^11+E(25)^-11, E(25)+E(25)^-1, E(25)^9+E(25)^-9, E(25)^9+E(25)^-9, E(25)^7+E(25)^-7, E(25)^2+E(25)^-2, E(25)^4+E(25)^-4, E(25)^3+E(25)^-3, E(25)^3+E(25)^-3, E(25)^12+E(25)^-12, E(25)^4+E(25)^-4, E(25)^3+E(25)^-3, E(25)^2+E(25)^-2, E(25)^9+E(25)^-9, E(25)^11+E(25)^-11, E(25)^6+E(25)^-6, E(25)+E(25)^-1, E(25)^12+E(25)^-12, E(25)^8+E(25)^-8, E(25)^12+E(25)^-12, E(25)^7+E(25)^-7, E(25)^2+E(25)^-2, E(25)+E(25)^-1, E(25)^8+E(25)^-8, E(25)^7+E(25)^-7, E(25)^3+E(25)^-3, E(25)^2+E(25)^-2, E(25)^9+E(25)^-9, E(25)^11+E(25)^-11, E(25)^8+E(25)^-8, E(25)^9+E(25)^-9, E(25)^8+E(25)^-8, E(25)^4+E(25)^-4, E(25)^6+E(25)^-6, E(25)^3+E(25)^-3, E(25)^6+E(25)^-6, E(25)+E(25)^-1, E(25)^12+E(25)^-12, E(25)^4+E(25)^-4, E(25)^9+E(25)^-9, E(25)^8+E(25)^-8, E(25)^8+E(25)^-8, E(25)+E(25)^-1, E(25)^2+E(25)^-2, E(25)^12+E(25)^-12, E(25)^6+E(25)^-6, E(25)^3+E(25)^-3, E(25)^4+E(25)^-4, E(25)^3+E(25)^-3, E(25)^9+E(25)^-9, E(25)^9+E(25)^-9, E(25)^11+E(25)^-11, E(25)^6+E(25)^-6, E(25)^4+E(25)^-4, E(25)^9+E(25)^-9, E(25)^12+E(25)^-12, E(25)^8+E(25)^-8, E(25)^7+E(25)^-7, E(25)^2+E(25)^-2, E(25)^6+E(25)^-6, E(25)^4+E(25)^-4, E(25)^11+E(25)^-11, E(25)^12+E(25)^-12, E(25)^4+E(25)^-4, E(25)^3+E(25)^-3, E(25)^11+E(25)^-11, E(25)^6+E(25)^-6, E(25)^11+E(25)^-11, E(25)^3+E(25)^-3, E(25)^12+E(25)^-12, E(25)^4+E(25)^-4, E(25)^9+E(25)^-9, 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E(25)^12+E(25)^-12, E(25)+E(25)^-1, E(25)^8+E(25)^-8, E(25)+E(25)^-1, E(25)^11+E(25)^-11, E(25)^9+E(25)^-9, E(25)^11+E(25)^-11, E(25)^7+E(25)^-7, E(25)^7+E(25)^-7, E(25)^2+E(25)^-2, E(25)^12+E(25)^-12, E(25)^2+E(25)^-2, E(25)^8+E(25)^-8, E(25)^12+E(25)^-12, E(25)^8+E(25)^-8], [2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -2, -2, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(25)^10+E(25)^-10, E(25)^5+E(25)^-5, E(25)^10+E(25)^-10, E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, E(25)^10+E(25)^-10, E(25)^10+E(25)^-10, E(25)^10+E(25)^-10, E(25)^10+E(25)^-10, E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, E(25)^10+E(25)^-10, E(25)^10+E(25)^-10, -1*E(25)^5-E(25)^-5, -1*E(25)^10-E(25)^-10, -1*E(25)^10-E(25)^-10, -1*E(25)^5-E(25)^-5, -1*E(25)^5-E(25)^-5, -1*E(25)^10-E(25)^-10, -1*E(25)^10-E(25)^-10, -1*E(25)^10-E(25)^-10, E(25)^5+E(25)^-5, E(25)^5+E(25)^-5, -1*E(25)^5-E(25)^-5, -1*E(25)^10-E(25)^-10, E(25)^10+E(25)^-10, E(25)^10+E(25)^-10, E(25)^5+E(25)^-5, -1*E(25)^10-E(25)^-10, -1*E(25)^5-E(25)^-5, E(25)^10+E(25)^-10, E(25)^10+E(25)^-10, -1*E(25)^10-E(25)^-10, -1*E(25)^5-E(25)^-5, E(25)^5+E(25)^-5, -1*E(25)^5-E(25)^-5, -1*E(25)^5-E(25)^-5, E(25)^12+E(25)^-12, E(25)^3+E(25)^-3, E(25)^7+E(25)^-7, E(25)+E(25)^-1, E(25)^2+E(25)^-2, E(25)^11+E(25)^-11, E(25)^6+E(25)^-6, E(25)^9+E(25)^-9, E(25)^8+E(25)^-8, E(25)^4+E(25)^-4, E(25)^9+E(25)^-9, E(25)^7+E(25)^-7, E(25)^12+E(25)^-12, E(25)^8+E(25)^-8, E(25)^11+E(25)^-11, E(25)^2+E(25)^-2, E(25)^3+E(25)^-3, E(25)^7+E(25)^-7, E(25)^4+E(25)^-4, E(25)^11+E(25)^-11, E(25)+E(25)^-1, E(25)^4+E(25)^-4, E(25)+E(25)^-1, E(25)^9+E(25)^-9, E(25)^6+E(25)^-6, E(25)^6+E(25)^-6, E(25)^9+E(25)^-9, E(25)^4+E(25)^-4, E(25)^11+E(25)^-11, E(25)^2+E(25)^-2, E(25)^3+E(25)^-3, E(25)^2+E(25)^-2, E(25)^3+E(25)^-3, E(25)^9+E(25)^-9, E(25)^7+E(25)^-7, E(25)^8+E(25)^-8, E(25)^12+E(25)^-12, E(25)^8+E(25)^-8, E(25)^9+E(25)^-9, E(25)^6+E(25)^-6, E(25)^7+E(25)^-7, E(25)^4+E(25)^-4, E(25)+E(25)^-1, E(25)^12+E(25)^-12, E(25)+E(25)^-1, E(25)^4+E(25)^-4, E(25)^11+E(25)^-11, E(25)^6+E(25)^-6, E(25)^3+E(25)^-3, E(25)^2+E(25)^-2, E(25)^8+E(25)^-8, E(25)^2+E(25)^-2, E(25)^3+E(25)^-3, E(25)^12+E(25)^-12, E(25)^7+E(25)^-7, E(25)^12+E(25)^-12, E(25)^3+E(25)^-3, E(25)^4+E(25)^-4, E(25)^7+E(25)^-7, E(25)^12+E(25)^-12, E(25)^8+E(25)^-8, E(25)^8+E(25)^-8, E(25)^9+E(25)^-9, E(25)+E(25)^-1, E(25)^2+E(25)^-2, E(25)^11+E(25)^-11, E(25)^11+E(25)^-11, E(25)^6+E(25)^-6, E(25)^2+E(25)^-2, E(25)^11+E(25)^-11, E(25)+E(25)^-1, E(25)^8+E(25)^-8, E(25)^7+E(25)^-7, E(25)^3+E(25)^-3, E(25)^12+E(25)^-12, E(25)^6+E(25)^-6, E(25)^4+E(25)^-4, E(25)^6+E(25)^-6, E(25)^9+E(25)^-9, E(25)+E(25)^-1, -1*E(25)^12-E(25)^-12, -1*E(25)^4-E(25)^-4, E(25)^9+E(25)^-9, -1*E(25)^11-E(25)^-11, -1*E(25)-E(25)^-1, -1*E(25)^8-E(25)^-8, -1*E(25)^7-E(25)^-7, -1*E(25)^4-E(25)^-4, -1*E(25)^8-E(25)^-8, -1*E(25)^4-E(25)^-4, E(25)^2+E(25)^-2, E(25)^3+E(25)^-3, E(25)^11+E(25)^-11, E(25)^3+E(25)^-3, -1*E(25)^12-E(25)^-12, E(25)^6+E(25)^-6, E(25)^2+E(25)^-2, 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E(25)^3+E(25)^-3, E(25)^7+E(25)^-7, E(25)+E(25)^-1, E(25)^8+E(25)^-8, E(25)^3+E(25)^-3, E(25)^2+E(25)^-2, E(25)^2+E(25)^-2, E(25)^4+E(25)^-4, E(25)^6+E(25)^-6, E(25)^12+E(25)^-12, E(25)^9+E(25)^-9, E(25)^9+E(25)^-9, E(25)^11+E(25)^-11, E(25)^12+E(25)^-12, E(25)^9+E(25)^-9, E(25)^6+E(25)^-6, E(25)^2+E(25)^-2, E(25)^8+E(25)^-8, E(25)^7+E(25)^-7, E(25)^3+E(25)^-3, E(25)^11+E(25)^-11, E(25)+E(25)^-1, E(25)^11+E(25)^-11, E(25)^4+E(25)^-4, E(25)^6+E(25)^-6, E(25)^3+E(25)^-3, E(25)+E(25)^-1, -1*E(25)^4-E(25)^-4, -1*E(25)^9-E(25)^-9, -1*E(25)^6-E(25)^-6, E(25)^2+E(25)^-2, E(25)^8+E(25)^-8, E(25)+E(25)^-1, -1*E(25)^2-E(25)^-2, -1*E(25)-E(25)^-1, -1*E(25)^12-E(25)^-12, -1*E(25)^7-E(25)^-7, -1*E(25)^9-E(25)^-9, -1*E(25)^7-E(25)^-7, -1*E(25)^3-E(25)^-3, -1*E(25)^11-E(25)^-11, -1*E(25)^12-E(25)^-12, -1*E(25)^2-E(25)^-2, -1*E(25)-E(25)^-1, E(25)+E(25)^-1, E(25)^3+E(25)^-3, E(25)^6+E(25)^-6, E(25)^11+E(25)^-11, E(25)^7+E(25)^-7, E(25)^9+E(25)^-9, E(25)^12+E(25)^-12, E(25)^9+E(25)^-9, 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-2*E(25)^4-2*E(25)^-4, -2*E(25)^6-2*E(25)^-6, 2*E(25)^4+2*E(25)^-4, -2*E(25)-2*E(25)^-1, 2*E(25)^7+2*E(25)^-7, -2*E(25)^6-2*E(25)^-6, -2*E(25)^4-2*E(25)^-4, -2*E(25)^11-2*E(25)^-11, -2*E(25)^11-2*E(25)^-11, 2*E(25)^3+2*E(25)^-3, -2*E(25)^8-2*E(25)^-8, 2*E(25)^9+2*E(25)^-9, -2*E(25)^12-2*E(25)^-12, -2*E(25)^12-2*E(25)^-12, -2*E(25)^2-2*E(25)^-2, -2*E(25)^9-2*E(25)^-9, 2*E(25)^12+2*E(25)^-12, 2*E(25)^8+2*E(25)^-8, 2*E(25)^11+2*E(25)^-11, 2*E(25)^6+2*E(25)^-6, 2*E(25)+2*E(25)^-1, -2*E(25)^4-2*E(25)^-4, 2*E(25)^2+2*E(25)^-2, -2*E(25)^7-2*E(25)^-7, 2*E(25)^2+2*E(25)^-2, -2*E(25)^3-2*E(25)^-3, 2*E(25)^8+2*E(25)^-8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(25)^5+2*E(25)^-5, 2*E(25)^10+2*E(25)^-10, -2*E(25)^5-2*E(25)^-5, -2*E(25)^10-2*E(25)^-10, 2*E(25)^10+2*E(25)^-10, 2*E(25)^10+2*E(25)^-10, -2*E(25)^10-2*E(25)^-10, 2*E(25)^5+2*E(25)^-5, -2*E(25)^5-2*E(25)^-5, 2*E(25)^5+2*E(25)^-5, -2*E(25)^5-2*E(25)^-5, -2*E(25)^10-2*E(25)^-10, 2*E(25)^10+2*E(25)^-10, -2*E(25)^10-2*E(25)^-10, 2*E(25)^5+2*E(25)^-5, -2*E(25)^5-2*E(25)^-5, 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*E(25)+2*E(25)^-1, 2*E(25)^6+2*E(25)^-6, 2*E(25)^11+2*E(25)^-11, 2*E(25)^2+2*E(25)^-2, 2*E(25)^4+2*E(25)^-4, 2*E(25)^3+2*E(25)^-3, 2*E(25)^12+2*E(25)^-12, 2*E(25)^7+2*E(25)^-7, 2*E(25)^9+2*E(25)^-9, 2*E(25)^8+2*E(25)^-8, -2*E(25)^7-2*E(25)^-7, -2*E(25)^11-2*E(25)^-11, 2*E(25)+2*E(25)^-1, 2*E(25)^9+2*E(25)^-9, 2*E(25)^3+2*E(25)^-3, 2*E(25)^4+2*E(25)^-4, -2*E(25)^6-2*E(25)^-6, 2*E(25)^11+2*E(25)^-11, 2*E(25)^8+2*E(25)^-8, -2*E(25)^3-2*E(25)^-3, -2*E(25)^2-2*E(25)^-2, -2*E(25)^8-2*E(25)^-8, -2*E(25)^2-2*E(25)^-2, -2*E(25)^7-2*E(25)^-7, -2*E(25)^12-2*E(25)^-12, -2*E(25)^12-2*E(25)^-12, -2*E(25)^7-2*E(25)^-7, -2*E(25)^8-2*E(25)^-8, 2*E(25)^3+2*E(25)^-3, 2*E(25)^4+2*E(25)^-4, -2*E(25)^6-2*E(25)^-6, -2*E(25)^4-2*E(25)^-4, 2*E(25)^6+2*E(25)^-6, 2*E(25)^7+2*E(25)^-7, 2*E(25)^11+2*E(25)^-11, -2*E(25)^9-2*E(25)^-9, 2*E(25)+2*E(25)^-1, 2*E(25)^9+2*E(25)^-9, 2*E(25)^7+2*E(25)^-7, -2*E(25)^12-2*E(25)^-12, -2*E(25)^11-2*E(25)^-11, 2*E(25)^8+2*E(25)^-8, 2*E(25)^2+2*E(25)^-2, -2*E(25)-2*E(25)^-1, -2*E(25)^2-2*E(25)^-2, -2*E(25)^8-2*E(25)^-8, -2*E(25)^3-2*E(25)^-3, 2*E(25)^12+2*E(25)^-12, 2*E(25)^6+2*E(25)^-6, -2*E(25)^4-2*E(25)^-4, -2*E(25)^9-2*E(25)^-9, -2*E(25)^4-2*E(25)^-4, -2*E(25)^6-2*E(25)^-6, -2*E(25)-2*E(25)^-1, -2*E(25)^11-2*E(25)^-11, 2*E(25)+2*E(25)^-1, -2*E(25)^6-2*E(25)^-6, 2*E(25)^8+2*E(25)^-8, -2*E(25)^11-2*E(25)^-11, -2*E(25)-2*E(25)^-1, -2*E(25)^9-2*E(25)^-9, -2*E(25)^9-2*E(25)^-9, 2*E(25)^7+2*E(25)^-7, -2*E(25)^2-2*E(25)^-2, 2*E(25)^4+2*E(25)^-4, -2*E(25)^3-2*E(25)^-3, -2*E(25)^3-2*E(25)^-3, -2*E(25)^12-2*E(25)^-12, -2*E(25)^4-2*E(25)^-4, 2*E(25)^3+2*E(25)^-3, 2*E(25)^2+2*E(25)^-2, 2*E(25)^9+2*E(25)^-9, 2*E(25)^11+2*E(25)^-11, 2*E(25)^6+2*E(25)^-6, -2*E(25)-2*E(25)^-1, 2*E(25)^12+2*E(25)^-12, -2*E(25)^8-2*E(25)^-8, 2*E(25)^12+2*E(25)^-12, -2*E(25)^7-2*E(25)^-7, 2*E(25)^2+2*E(25)^-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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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_1600_299);