# Group 960.10126 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(11857140146316435512069391441155719235,960); a := GPC.1; b := GPC.2; c := GPC.4; d := GPC.6;
GPerm := Group( (1,2)(3,5)(4,6)(7,8)(14,15), (1,3,4,7)(2,5,6,8), (2,6)(3,7), (3,7)(5,8)(9,10,11,12), (16,17,18,19,20), (9,11)(10,12), (1,4)(2,6)(3,7)(5,8), (13,14,15) );

 
# Booleans 
booleans_960_10126 := 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_960_10126:=rec(); 
chartbl_960_10126.IsFinite:= true; 
chartbl_960_10126.UnderlyingCharacteristic:= 0; 
chartbl_960_10126.UnderlyingGroup:= GPC;
chartbl_960_10126.Size:= 960;
chartbl_960_10126.InfoText:= "Character table for group 960.10126 downloaded from the LMFDB."; 
chartbl_960_10126.Identifier:= " D4:(S3*C20) "; 
chartbl_960_10126.NrConjugacyClasses:= 270; 
chartbl_960_10126.ConjugacyClasses:= [<identity> of ..., f7*f8^2, f3, f3*f7*f8^2, f4*f5, f4*f5*f6*f8, f3*f4*f5, f3*f4*f5*f6*f8, f1, f1*f3, f5^2, f6*f7*f8^3, f3*f6*f7*f8^3, f2*f3*f4*f5, f2*f4*f5, f2*f3, f2, f2*f3*f6*f8, f2*f6*f8, f2*f3*f4*f5*f6*f7*f8^3, f2*f4*f5*f6*f8, f1*f6*f8, f1*f4, f1*f4*f6*f8, f1*f3*f6*f8, f1*f3*f4, f1*f3*f4*f6*f8, f1*f2, f1*f2*f3, f1*f2*f6*f8, f1*f2*f3*f6*f8, f1*f2*f4, f1*f2*f3*f4*f7*f8^2, f1*f2*f4*f6*f8, f1*f2*f3*f4*f6*f8, f8^2, f8^3, f8^4, f8, f3*f5^2, f5*f7*f8^2, f3*f5^2*f7*f8^2, f4*f5^2, f4*f5^2*f6*f8, f3*f4*f5^2, f3*f4*f5^2*f6*f8, f7, f7*f8^4, f7*f8, f7*f8^3, f3*f8^2, f3*f8^3, f3*f8, f3*f8^4, f3*f7*f8^4, f3*f7, f3*f7*f8^3, f3*f7*f8, f4*f5*f8^3, f4*f5*f8^2, f4*f5*f8^4, f4*f5*f8, f4*f5*f6*f8^3, f4*f5*f6*f8^4, f4*f5*f6*f8^2, f4*f5*f6, f3*f4*f5*f8^3, f3*f4*f5*f8^2, f3*f4*f5*f8^4, f3*f4*f5*f8, f3*f4*f5*f6*f8^3, f3*f4*f5*f6*f8^4, f3*f4*f5*f6*f8^2, f3*f4*f5*f6, f1*f8, f1*f8^4, f1*f7, f1*f8^2, f1*f3*f8, f1*f3*f8^4, f1*f3*f7, f1*f3*f8^2, f2*f4*f5^2, f2*f3*f4, f2*f4, f2*f3*f4*f5^2, f5^2*f6*f8, f3*f5^2*f6*f8, f2*f5^2, f2*f3*f5, f2*f5^2*f6*f8, f2*f3*f5*f6*f8, f2*f4*f5^2*f6*f8, f2*f3*f4*f6*f7*f8^3, f5*f8^2, f5^2*f8^3, f5^2*f8^4, f5*f8, f6*f7, f6*f8^4, f6*f8^2, f6*f7*f8^2, f3*f6*f7, f3*f6*f8^4, f3*f6*f8^2, f3*f6*f7*f8^2, f2*f3*f4*f5*f8^3, f2*f4*f5*f8^2, f2*f4*f5*f8^4, f2*f3*f4*f5*f8, f2*f4*f5*f8, f2*f3*f4*f5*f8^4, f2*f3*f4*f5*f8^2, f2*f4*f5*f8^3, f2*f3*f8^3, f2*f8^2, f2*f8^4, f2*f3*f8, f2*f8, f2*f3*f8^4, f2*f3*f8^2, f2*f8^3, f2*f3*f6*f8^3, f2*f6*f8^4, f2*f6*f8^2, f2*f3*f6, f2*f6, f2*f3*f6*f8^2, f2*f3*f6*f8^4, f2*f6*f8^3, f2*f3*f4*f5*f6*f7, f2*f4*f5*f6*f8^4, f2*f4*f5*f6*f8^2, f2*f3*f4*f5*f6*f7*f8^2, f2*f4*f5*f6, f2*f3*f4*f5*f6*f7*f8^4, f2*f3*f4*f5*f6*f7*f8, f2*f4*f5*f6*f8^3, f1*f6, f1*f6*f8^2, f1*f6*f7, f1*f6*f8^4, f1*f4*f8, f1*f4*f8^4, f1*f4*f7, f1*f4*f8^2, f1*f4*f6, f1*f4*f6*f8^2, f1*f4*f6*f7, f1*f4*f6*f8^4, f1*f3*f6, f1*f3*f6*f8^2, f1*f3*f6*f7, f1*f3*f6*f8^4, f1*f3*f4*f8, f1*f3*f4*f8^4, f1*f3*f4*f7, f1*f3*f4*f8^2, f1*f3*f4*f6, f1*f3*f4*f6*f8^2, f1*f3*f4*f6*f7, f1*f3*f4*f6*f8^4, f1*f2*f8, f1*f2*f3*f8^4, f1*f2*f3*f7, f1*f2*f8^2, f1*f2*f3*f8^2, f1*f2*f7, f1*f2*f8^4, f1*f2*f3*f8, f1*f2*f6, f1*f2*f3*f6*f8^2, f1*f2*f3*f6*f7, f1*f2*f6*f8^4, f1*f2*f3*f6*f8^4, f1*f2*f6*f7, f1*f2*f6*f8^2, f1*f2*f3*f6, f1*f2*f4*f8, f1*f2*f3*f4*f8^4, f1*f2*f3*f4*f7, f1*f2*f4*f8^2, f1*f2*f3*f4*f8^2, f1*f2*f4*f7, f1*f2*f4*f8^4, f1*f2*f3*f4*f8, f1*f2*f4*f6, f1*f2*f3*f4*f6*f8^2, f1*f2*f3*f4*f6*f7, f1*f2*f4*f6*f8^4, f1*f2*f3*f4*f6*f8^4, f1*f2*f4*f6*f7, f1*f2*f4*f6*f8^2, f1*f2*f3*f4*f6, f3*f5*f8^2, f3*f5^2*f8^3, f3*f5*f8^4, f3*f5^2*f8, f5^2*f7, f5*f7*f8^4, f5^2*f7*f8^3, f5*f7*f8, f3*f5*f7, f3*f5^2*f7*f8^4, f3*f5*f7*f8^3, f3*f5^2*f7*f8, f4*f8, f4*f8^4, f4*f8^2, f4*f7, f4*f6, f4*f6*f8^2, f4*f6*f8^4, f4*f6*f7, f3*f4*f8, f3*f4*f8^4, f3*f4*f8^2, f3*f4*f7, f3*f4*f6, f3*f4*f6*f8^2, f3*f4*f6*f8^4, f3*f4*f6*f7, f2*f4*f8, f2*f3*f4*f7*f8, f2*f3*f4*f8^2, f2*f4*f7, f2*f3*f4*f5^2*f8, f2*f4*f8^4, f2*f4*f8^3, f2*f3*f4*f5^2*f8^2, f2*f4*f5^2*f8^2, f2*f3*f4*f8^3, f2*f3*f4*f8^4, f2*f4*f5^2*f8, f2*f3*f4*f7, f2*f4*f8^2, f2*f4*f7*f8, f2*f3*f4*f8, f5*f6, f5*f6*f8^2, f5*f6*f8^4, f5*f6*f7, f3*f5*f6, f3*f5*f6*f8^2, f3*f5*f6*f8^4, f3*f5*f6*f7, f2*f5*f8, f2*f3*f5*f8^4, f2*f3*f5*f8^2, f2*f5*f7, f2*f3*f5*f8, f2*f5*f8^4, f2*f5*f8^2, f2*f3*f5*f7, f2*f5*f6, f2*f3*f5*f6*f8^2, f2*f3*f5*f6*f8^4, f2*f5*f6*f7, f2*f3*f5*f6, f2*f5*f6*f8^2, f2*f5*f6*f8^4, f2*f3*f5*f6*f7, f2*f4*f6, f2*f3*f4*f6*f8^2, f2*f3*f4*f6*f8^4, f2*f4*f6*f7, f2*f3*f4*f6, f2*f4*f6*f8^2, f2*f4*f6*f8^4, f2*f3*f4*f6*f7];
chartbl_960_10126.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, 269, 270];
chartbl_960_10126.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 3, 3, 38, 39, 37, 36, 11, 11, 11, 11, 11, 11, 11, 39, 38, 37, 36, 38, 39, 36, 37, 38, 39, 36, 37, 39, 38, 37, 36, 38, 39, 36, 37, 39, 38, 37, 36, 38, 39, 36, 37, 36, 37, 39, 38, 36, 37, 39, 38, 40, 40, 40, 40, 41, 41, 40, 40, 40, 40, 42, 42, 97, 98, 96, 95, 49, 50, 48, 47, 49, 50, 48, 47, 53, 54, 52, 51, 51, 52, 54, 53, 53, 54, 52, 51, 51, 52, 54, 53, 54, 53, 51, 52, 52, 51, 53, 54, 58, 57, 55, 56, 56, 55, 57, 58, 47, 48, 49, 50, 48, 47, 50, 49, 47, 48, 49, 50, 47, 48, 49, 50, 48, 47, 50, 49, 47, 48, 49, 50, 51, 52, 53, 54, 54, 53, 52, 51, 52, 51, 54, 53, 53, 54, 51, 52, 55, 56, 57, 58, 58, 57, 56, 55, 52, 51, 54, 53, 53, 54, 51, 52, 97, 98, 96, 95, 98, 97, 95, 96, 98, 97, 95, 96, 95, 96, 97, 98, 96, 95, 98, 97, 95, 96, 97, 98, 96, 95, 98, 97, 195, 196, 197, 198, 195, 196, 198, 197, 197, 198, 196, 195, 198, 197, 196, 195, 199, 200, 201, 202, 199, 200, 201, 202, 195, 196, 197, 198, 195, 196, 197, 198, 196, 195, 198, 197, 196, 195, 198, 197, 203, 204, 205, 206, 203, 204, 205, 206], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 12, 13, 15, 14, 17, 16, 19, 18, 21, 20, 22, 23, 24, 25, 26, 27, 29, 28, 31, 30, 33, 32, 35, 34, 39, 38, 36, 37, 3, 2, 4, 5, 6, 7, 8, 49, 50, 48, 47, 53, 54, 52, 51, 57, 58, 56, 55, 61, 62, 60, 59, 65, 66, 64, 63, 69, 70, 68, 67, 73, 74, 72, 71, 77, 78, 76, 75, 81, 82, 80, 79, 14, 15, 14, 15, 12, 13, 16, 17, 18, 19, 20, 21, 39, 38, 36, 37, 101, 102, 100, 99, 105, 106, 104, 103, 109, 110, 113, 114, 107, 108, 111, 112, 117, 118, 121, 122, 115, 116, 119, 120, 125, 126, 129, 130, 123, 124, 127, 128, 133, 134, 137, 138, 131, 132, 135, 136, 141, 142, 140, 139, 145, 146, 144, 143, 149, 150, 148, 147, 153, 154, 152, 151, 157, 158, 156, 155, 161, 162, 160, 159, 165, 166, 169, 170, 163, 164, 167, 168, 173, 174, 177, 178, 171, 172, 175, 176, 181, 182, 185, 186, 179, 180, 183, 184, 189, 190, 193, 194, 187, 188, 191, 192, 53, 54, 51, 52, 49, 50, 47, 48, 58, 57, 56, 55, 59, 60, 62, 61, 63, 64, 66, 65, 67, 68, 70, 69, 71, 72, 74, 73, 107, 108, 111, 112, 114, 113, 112, 111, 110, 109, 108, 107, 109, 110, 113, 114, 99, 100, 102, 101, 103, 104, 106, 105, 115, 116, 119, 120, 122, 121, 118, 117, 123, 124, 127, 128, 130, 129, 126, 125, 131, 132, 135, 136, 138, 137, 134, 133], [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, 1, 1, 1, 1, 40, 41, 42, 43, 44, 45, 46, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 85, 86, 83, 84, 87, 88, 89, 90, 91, 92, 93, 94, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 15, 15, 14, 15, 14, 14, 15, 16, 17, 17, 16, 17, 16, 16, 17, 18, 19, 19, 18, 19, 18, 18, 19, 20, 21, 21, 20, 21, 20, 20, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 27, 28, 29, 29, 28, 29, 28, 28, 29, 30, 31, 31, 30, 31, 30, 30, 31, 32, 33, 33, 32, 33, 32, 32, 33, 34, 35, 35, 34, 35, 34, 34, 35, 40, 40, 40, 40, 41, 41, 41, 41, 42, 42, 42, 42, 43, 43, 43, 43, 44, 44, 44, 44, 45, 45, 45, 45, 46, 46, 46, 46, 83, 84, 86, 85, 84, 83, 83, 84, 85, 86, 86, 85, 84, 83, 85, 86, 87, 87, 87, 87, 88, 88, 88, 88, 89, 90, 90, 89, 90, 89, 89, 90, 91, 92, 92, 91, 92, 91, 91, 92, 93, 94, 94, 93, 94, 93, 93, 94]];
chartbl_960_10126.SizesCentralizers:= [960, 960, 960, 960, 480, 480, 480, 480, 160, 160, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 960, 960, 960, 960, 480, 480, 480, 240, 240, 240, 240, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 160, 160, 160, 160, 160, 160, 160, 160, 480, 480, 480, 480, 240, 240, 240, 240, 240, 240, 240, 240, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240];
chartbl_960_10126.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "2I", "3A", "4A", "4B", "4C1", "4C-1", "4D1", "4D-1", "4E1", "4E-1", "4F1", "4F-1", "4G", "4H", "4I", "4J", "4K", "4L", "4M1", "4M-1", "4N1", "4N-1", "4O1", "4O-1", "4P1", "4P-1", "5A1", "5A-1", "5A2", "5A-2", "6A", "6B", "6C", "6D", "6E", "6F", "6G", "10A1", "10A-1", "10A3", "10A-3", "10B1", "10B-1", "10B3", "10B-3", "10C1", "10C-1", "10C3", "10C-3", "10D1", "10D-1", "10D3", "10D-3", "10E1", "10E-1", "10E3", "10E-3", "10F1", "10F-1", "10F3", "10F-3", "10G1", "10G-1", "10G3", "10G-3", "10H1", "10H-1", "10H3", "10H-3", "10I1", "10I-1", "10I3", "10I-3", "12A1", "12A-1", "12A5", "12A-5", "12B", "12C", "12D1", "12D-1", "12E1", "12E-1", "12F1", "12F-1", "15A1", "15A-1", "15A2", "15A-2", "20A1", "20A-1", "20A3", "20A-3", "20B1", "20B-1", "20B3", "20B-3", "20C1", "20C-1", "20C3", "20C-3", "20C7", "20C-7", "20C9", "20C-9", "20D1", "20D-1", "20D3", "20D-3", "20D7", "20D-7", "20D9", "20D-9", "20E1", "20E-1", "20E3", "20E-3", "20E7", "20E-7", "20E9", "20E-9", "20F1", "20F-1", "20F3", "20F-3", "20F7", "20F-7", "20F9", "20F-9", "20G1", "20G-1", "20G3", "20G-3", "20H1", "20H-1", "20H3", "20H-3", "20I1", "20I-1", "20I3", "20I-3", "20J1", "20J-1", "20J3", "20J-3", "20K1", "20K-1", "20K3", "20K-3", "20L1", "20L-1", "20L3", "20L-3", "20M1", "20M-1", "20M3", "20M-3", "20M7", "20M-7", "20M9", "20M-9", "20N1", "20N-1", "20N3", "20N-3", "20N7", "20N-7", "20N9", "20N-9", "20O1", "20O-1", "20O3", "20O-3", "20O7", "20O-7", "20O9", "20O-9", "20P1", "20P-1", "20P3", "20P-3", "20P7", "20P-7", "20P9", "20P-9", "30A1", "30A-1", "30A7", "30A-7", "30B1", "30B-1", "30B7", "30B-7", "30C1", "30C-1", "30C7", "30C-7", "30D1", "30D-1", "30D7", "30D-7", "30E1", "30E-1", "30E7", "30E-7", "30F1", "30F-1", "30F7", "30F-7", "30G1", "30G-1", "30G7", "30G-7", "60A1", "60A-1", "60A7", "60A-7", "60A11", "60A-11", "60A13", "60A-13", "60A17", "60A-17", "60A19", "60A-19", "60A23", "60A-23", "60A29", "60A-29", "60B1", "60B-1", "60B7", "60B-7", "60C1", "60C-1", "60C7", "60C-7", "60D1", "60D-1", "60D7", "60D-7", "60D11", "60D-11", "60D17", "60D-17", "60E1", "60E-1", "60E7", "60E-7", "60E11", "60E-11", "60E17", "60E-17", "60F1", "60F-1", "60F7", "60F-7", "60F11", "60F-11", "60F17", "60F-17"];
chartbl_960_10126.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60];
chartbl_960_10126.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, 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2*E(60)^12, 2*E(60)^24, -2*E(60)^6, -2*E(60)^18, 2*E(60)^18, -2*E(60)^12, 2*E(60)^6, -2*E(60)^24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4*E(60)+4*E(60)^5+4*E(60)^7+2*E(60)^9-4*E(60)^13-4*E(60)^15, 2*E(60)+2*E(60)^3-4*E(60)^7-2*E(60)^9-2*E(60)^11+2*E(60)^15, 2*E(60)^3-4*E(60)^13, 2*E(60)+2*E(60)^11, -2*E(60)-2*E(60)^11, -2*E(60)-2*E(60)^3+4*E(60)^7+2*E(60)^9+2*E(60)^11-2*E(60)^15, 2*E(60)+2*E(60)^3-4*E(60)^7-2*E(60)^9-2*E(60)^11+2*E(60)^15, -2*E(60)^3+4*E(60)^13, -2*E(60)-2*E(60)^3+4*E(60)^7+2*E(60)^9+2*E(60)^11-2*E(60)^15, -2*E(60)^3+4*E(60)^13, 4*E(60)-4*E(60)^5-4*E(60)^7-2*E(60)^9+4*E(60)^13+4*E(60)^15, 2*E(60)+2*E(60)^11, -4*E(60)+4*E(60)^5+4*E(60)^7+2*E(60)^9-4*E(60)^13-4*E(60)^15, 4*E(60)-4*E(60)^5-4*E(60)^7-2*E(60)^9+4*E(60)^13+4*E(60)^15, -2*E(60)-2*E(60)^11, 2*E(60)^3-4*E(60)^13, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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2*E(60)+2*E(60)^3-4*E(60)^7-2*E(60)^9-2*E(60)^11+2*E(60)^15, 4*E(60)-4*E(60)^5-4*E(60)^7-2*E(60)^9+4*E(60)^13+4*E(60)^15, -4*E(60)+4*E(60)^5+4*E(60)^7+2*E(60)^9-4*E(60)^13-4*E(60)^15, -2*E(60)^3+4*E(60)^13, 2*E(60)^3-4*E(60)^13, -2*E(60)-2*E(60)^3+4*E(60)^7+2*E(60)^9+2*E(60)^11-2*E(60)^15, -2*E(60)^3+4*E(60)^13, -2*E(60)-2*E(60)^3+4*E(60)^7+2*E(60)^9+2*E(60)^11-2*E(60)^15, 2*E(60)+2*E(60)^11, 4*E(60)-4*E(60)^5-4*E(60)^7-2*E(60)^9+4*E(60)^13+4*E(60)^15, -2*E(60)-2*E(60)^11, 2*E(60)+2*E(60)^11, -4*E(60)+4*E(60)^5+4*E(60)^7+2*E(60)^9-4*E(60)^13-4*E(60)^15, 2*E(60)+2*E(60)^3-4*E(60)^7-2*E(60)^9-2*E(60)^11+2*E(60)^15, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(60)^12, -4*E(60)^18, 4*E(60)^24, -4*E(60)^6, -2, 2, 2, 0, 0, 0, 0, 4*E(60)^18, -4*E(60)^18, -4*E(60)^24, -4*E(60)^12, 4*E(60)^24, 4*E(60)^6, -4*E(60)^6, 4*E(60)^18, -4*E(60)^12, 4*E(60)^12, -4*E(60)^24, 4*E(60)^6, 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(60)^5+2*E(60)^-5, 2*E(60)^5+2*E(60)^-5, -2*E(60)^5-2*E(60)^-5, -2*E(60)^5-2*E(60)^-5, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(60)^12, 2*E(60)^18, -2*E(60)^24, 2*E(60)^6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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(60)^24, -2*E(60)^18, -2*E(60)^6, 2*E(60)^12, 2*E(60)^12, 2*E(60)^24, -2*E(60)^6, -2*E(60)^18, 2*E(60)^18, -2*E(60)^12, 2*E(60)^6, -2*E(60)^24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(60)-4*E(60)^5-4*E(60)^7-2*E(60)^9+4*E(60)^13+4*E(60)^15, -2*E(60)-2*E(60)^3+4*E(60)^7+2*E(60)^9+2*E(60)^11-2*E(60)^15, -2*E(60)^3+4*E(60)^13, -2*E(60)-2*E(60)^11, 2*E(60)+2*E(60)^11, 2*E(60)+2*E(60)^3-4*E(60)^7-2*E(60)^9-2*E(60)^11+2*E(60)^15, -2*E(60)-2*E(60)^3+4*E(60)^7+2*E(60)^9+2*E(60)^11-2*E(60)^15, 2*E(60)^3-4*E(60)^13, 2*E(60)+2*E(60)^3-4*E(60)^7-2*E(60)^9-2*E(60)^11+2*E(60)^15, 2*E(60)^3-4*E(60)^13, -4*E(60)+4*E(60)^5+4*E(60)^7+2*E(60)^9-4*E(60)^13-4*E(60)^15, -2*E(60)-2*E(60)^11, 4*E(60)-4*E(60)^5-4*E(60)^7-2*E(60)^9+4*E(60)^13+4*E(60)^15, -4*E(60)+4*E(60)^5+4*E(60)^7+2*E(60)^9-4*E(60)^13-4*E(60)^15, 2*E(60)+2*E(60)^11, -2*E(60)^3+4*E(60)^13, 0, 0, 0, 0, 0, 0, 0, 0, 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_960_10126);