# Group 1600.1811 downloaded from the LMFDB on 20 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(2807648473722625924216547302127721300496351532875971,1600); a := GPC.1; b := GPC.3; c := GPC.6;
GPerm := Group( (1,2)(3,5)(4,7)(6,8)(9,10,13,16,14,11,12,15)(17,18)(19,21)(20,24)(22,23)(25,26), (2,5)(3,8)(6,7)(9,11,14,10)(12,15,13,16), (17,19,20,23,25)(18,21,24,22,26), (1,3,4,8)(2,6,7,5)(9,12,14,13)(10,15,11,16), (9,13,14,12)(10,16,11,15), (1,4)(2,7)(3,8)(5,6), (9,14)(10,11)(12,13)(15,16), (17,20,25,19,23)(18,22,21,26,24) );

 
# Booleans 
booleans_1600_1811 := 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_1811:=rec(); 
chartbl_1600_1811.IsFinite:= true; 
chartbl_1600_1811.UnderlyingCharacteristic:= 0; 
chartbl_1600_1811.UnderlyingGroup:= GPC;
chartbl_1600_1811.Size:= 1600;
chartbl_1600_1811.InfoText:= "Character table for group 1600.1811 downloaded from the LMFDB."; 
chartbl_1600_1811.Identifier:= " C20^2.C2^2 "; 
chartbl_1600_1811.NrConjugacyClasses:= 235; 
chartbl_1600_1811.ConjugacyClasses:= [<identity> of ..., f4*f5^2*f7*f8^2, f4*f5^2, f7*f8^2, f2*f4*f5^2*f6*f8, f2*f7*f8^2, f2, f2*f6*f8, f6*f8, f3*f5, f2*f3*f5, f5^2, f5^3, f5^4, f5, f8^4, f8^3, f5^4*f8, f5*f8^4, f5^3*f8^2, f5^2*f8^3, f5^2*f8, f5^3*f8^4, f5^4*f8^2, f5*f8^3, f1*f4*f5^2, f1*f2, f1*f2*f4*f5^2, f1, f1*f3*f4*f5^3*f7*f8^2, f1*f2*f3*f4*f5^3*f6*f8, f1*f2*f3*f5*f6*f7*f8^3, f1*f3*f5, f4*f5^3*f7*f8^2, f4*f5*f7*f8^2, f4*f7*f8^2, f4*f5^4*f7*f8^2, f4*f5^4, f4, f4*f5^3, f4*f5, f5^2*f7*f8^2, f5^3*f7*f8^2, f5*f7*f8^2, f5^4*f7*f8^2, f4*f5^2*f8^2, f4*f5^2*f8, f4*f5^2*f7, f4*f5^2*f7*f8, f7, f7*f8, f5^2*f7, f5^3*f7*f8^4, f5*f7*f8, f5^4*f7*f8^3, f5*f7, f5^4*f7*f8^4, f5^3*f7*f8, f5^2*f7*f8^3, f4*f5^4*f8^2, f4*f8^3, f4*f5^3*f8, f4*f5*f8^4, f4*f5^4*f8, f4*f8^4, f4*f5^3*f8^3, f4*f5*f8^2, f4*f5^4*f7, f4*f7*f8^4, f4*f5^3*f7*f8, f4*f5*f7*f8^3, f4*f5^3*f7, f4*f5*f7*f8^4, f4*f7*f8, f4*f5^4*f7*f8^3, f2*f4*f6*f8, f2*f5^2*f6*f7*f8^3, f2*f4*f5*f6*f8, f2*f5*f6*f7*f8^3, f2*f5*f7*f8^2, f2*f5^4*f7*f8^2, f2*f4*f7*f8^2, f2*f5^2*f7*f8^2, f2*f5^2, f2*f4, f2*f4*f5^3, f2*f5^4, f2*f5^3*f6*f8, f2*f4*f5^4*f6*f7*f8^3, f2*f4*f5*f6*f7*f8^3, f2*f5*f6*f8, f2*f8, f2*f8^2, f2*f7, f2*f7*f8, f2*f6, f2*f6*f8^3, f2*f6*f7, f2*f6*f7*f8^2, f6, f6*f8^2, f6*f7, f6*f8^4, f5*f6, f4*f5*f6, f5^3*f6*f7, f5^2*f6*f8^4, f4*f6, f5^2*f6, f5^4*f6*f8^4, f5*f6*f7, f5^3*f6, f5^2*f6*f8^2, f5^4*f6*f7, f5*f6*f8^4, f5^4*f6, f5*f6*f8^2, f5^2*f6*f7, f4*f6*f7, f5*f6*f8, f5^4*f6*f8, f4*f6*f8, f5^2*f6*f8, f2*f5*f8, f2*f5^4*f8, f2*f4*f8^2, f2*f5^2*f8^2, f2*f5*f7, f2*f5^4*f7, f2*f4*f7*f8, f2*f5^2*f7*f8, f2*f5*f6, f2*f5^4*f6, f2*f4*f6*f7, f2*f5^2*f6*f8^3, f2*f4*f8, f2*f5^2*f8, f2*f5^4*f8^2, f2*f5*f8^2, f2*f4*f7, f2*f5^2*f7, f2*f5^4*f7*f8, f2*f5*f7*f8, f2*f4*f6, f2*f4*f5^4*f6, f2*f5^4*f6*f7, f2*f5*f6*f7, f2*f5^2*f6, f2*f5^3*f6, f2*f5*f6*f8^3, f2*f5^4*f6*f8^3, f2*f4*f5*f6, f2*f4*f5^3*f6, f2*f5^2*f6*f7, f2*f5^3*f6*f7, f3, f3*f5^2, f3*f4, f3*f5^4, f3*f8, f3*f5^2*f8^4, f3*f4*f7, f3*f5^4*f8^2, f3*f7, f3*f5^2*f8^2, f3*f4*f8^4, f3*f5^4*f8, f2*f3, f2*f3*f5^2, f2*f3*f4, f2*f3*f5^4, f3*f8^2, f3*f5^2*f7, f3*f4*f8, f3*f5^4*f8^4, f3*f8^4, f3*f5^2*f8, f3*f4*f8^2, f3*f5^4*f7, f3*f5*f8, f3*f5*f8^4, f3*f5*f7, f3*f5*f8^2, f2*f3*f8, f2*f3*f5^2*f8^4, f2*f3*f4*f7, f2*f3*f5^4*f8^2, f2*f3*f7, f2*f3*f5^2*f8^2, f2*f3*f4*f8^4, f2*f3*f5^4*f8, f2*f3*f8^2, f2*f3*f5^2*f7, f2*f3*f4*f8, f2*f3*f5^4*f8^4, f2*f3*f8^4, f2*f3*f5^2*f8, f2*f3*f4*f8^2, f2*f3*f5^4*f7, f2*f3*f5*f8, f2*f3*f5*f8^4, f2*f3*f5*f7, f2*f3*f5*f8^2, f1*f5, f1*f2*f4*f5, f1*f2*f5^3, f1*f5^2*f7, f1*f2*f5^2*f7, f1*f5^3, f1*f5^4, f1*f2*f5*f7, f1*f2*f5, f1*f4*f5, f1*f4, f1*f2*f5^2, f1*f5^2, f1*f2*f4, f1*f2*f5^4, f1*f5*f7, f1*f3, f1*f2*f3*f5^2, f1*f2*f3*f4*f7, f1*f3*f5^4*f7, f1*f2*f3*f5^4, f1*f3*f4, f1*f3*f5^2, f1*f2*f3, f1*f2*f3*f7, f1*f3*f5^2*f7, f1*f3*f4*f7, f1*f2*f3*f5^4*f7, f1*f3*f5^4, f1*f2*f3*f4, f1*f2*f3*f5^2*f7, f1*f3*f7];
chartbl_1600_1811.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];
chartbl_1600_1811.ComputedPowerMaps:= [ , [1, 1, 1, 1, 2, 3, 3, 2, 4, 3, 3, 14, 15, 13, 12, 17, 16, 20, 21, 19, 18, 24, 25, 23, 22, 7, 7, 7, 7, 8, 8, 8, 8, 12, 13, 15, 14, 14, 15, 12, 13, 14, 15, 12, 13, 16, 17, 16, 17, 16, 17, 18, 19, 21, 20, 22, 23, 25, 24, 18, 19, 21, 20, 24, 25, 22, 23, 18, 19, 21, 20, 22, 23, 25, 24, 34, 35, 36, 37, 38, 39, 40, 41, 41, 40, 38, 39, 34, 35, 36, 37, 46, 47, 47, 46, 48, 49, 49, 48, 50, 50, 51, 51, 52, 53, 54, 55, 56, 57, 58, 59, 56, 57, 58, 59, 53, 52, 55, 54, 42, 43, 44, 45, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 66, 67, 65, 64, 62, 63, 61, 60, 72, 73, 74, 75, 73, 72, 75, 74, 69, 68, 71, 70, 39, 38, 41, 40, 61, 60, 63, 62, 65, 64, 67, 66, 39, 38, 41, 40, 65, 64, 67, 66, 61, 60, 63, 62, 46, 46, 47, 47, 61, 60, 63, 62, 65, 64, 67, 66, 65, 64, 67, 66, 61, 60, 63, 62, 46, 46, 47, 47, 84, 85, 86, 87, 87, 86, 85, 84, 84, 85, 86, 87, 87, 86, 85, 84, 88, 89, 90, 91, 91, 90, 89, 88, 88, 89, 90, 91, 91, 90, 89, 88], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 29, 28, 27, 26, 33, 32, 31, 30, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 7, 7, 6, 6, 8, 8, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 6, 6, 6, 6, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 8, 8, 8, 8, 5, 5, 5, 5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 26, 27, 28, 29, 27, 26, 26, 27, 28, 29, 29, 28, 26, 27, 28, 29, 30, 31, 32, 33, 31, 30, 30, 31, 32, 33, 33, 32, 30, 31, 32, 33]];
chartbl_1600_1811.SizesCentralizers:= [1600, 1600, 1600, 1600, 800, 800, 800, 800, 400, 200, 200, 1600, 1600, 1600, 1600, 800, 800, 800, 800, 800, 800, 800, 800, 800, 800, 80, 80, 80, 80, 80, 80, 80, 80, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 1600, 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, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80];
chartbl_1600_1811.ClassNames:= ["1A", "2A", "2B", "2C", "4A", "4B", "4C", "4D", "4E", "4F", "4G", "5A1", "5A-1", "5A2", "5A-2", "5B1", "5B2", "5C1", "5C-1", "5C2", "5C-2", "5D1", "5D-1", "5D2", "5D-2", "8A1", "8A-1", "8A3", "8A-3", "8B1", "8B-1", "8B3", "8B-3", "10A1", "10A-1", "10A3", "10A-3", "10B1", "10B-1", "10B3", "10B-3", "10C1", "10C-1", "10C3", "10C-3", "10D1", "10D3", "10E1", "10E3", "10F1", "10F3", "10G1", "10G-1", "10G3", "10G-3", "10H1", "10H-1", "10H3", "10H-3", "10I1", "10I-1", "10I3", "10I-3", "10J1", "10J-1", "10J3", "10J-3", "10K1", "10K-1", "10K3", "10K-3", "10L1", "10L-1", "10L3", "10L-3", "20A1", "20A-1", "20A3", "20A-3", "20B1", "20B-1", "20B3", "20B-3", "20C1", "20C-1", "20C3", "20C-3", "20D1", "20D-1", "20D3", "20D-3", "20E1", "20E3", "20F1", "20F3", "20G1", "20G3", "20H1", "20H3", "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", "20N1", "20N-1", "20N3", "20N-3", "20O1", "20O-1", "20O3", "20O-3", "20P1", "20P-1", "20P3", "20P-3", "20Q1", "20Q-1", "20Q3", "20Q-3", "20R1", "20R-1", "20R3", "20R-3", "20S1", "20S-1", "20S3", "20S-3", "20T1", "20T-1", "20T3", "20T-3", "20U1", "20U-1", "20U3", "20U-3", "20V1", "20V-1", "20V3", "20V-3", "20W1", "20W-1", "20W3", "20W-3", "20X1", "20X-1", "20X3", "20X-3", "20Y1", "20Y-1", "20Y3", "20Y-3", "20Z1", "20Z-1", "20Z3", "20Z-3", "20AA1", "20AA-1", "20AA3", "20AA-3", "20AB1", "20AB-1", "20AB3", "20AB-3", "20AC1", "20AC-1", "20AC3", "20AC-3", "20AD1", "20AD-1", "20AD3", "20AD-3", "20AE1", "20AE-1", "20AE3", "20AE-3", "20AF1", "20AF-1", "20AF3", "20AF-3", "20AG1", "20AG-1", "20AG3", "20AG-3", "20AH1", "20AH-1", "20AH3", "20AH-3", "40A1", "40A-1", "40A3", "40A-3", "40A7", "40A-7", "40A9", "40A-9", "40A11", "40A-11", "40A13", "40A-13", "40A17", "40A-17", "40A19", "40A-19", "40B1", "40B-1", "40B3", "40B-3", "40B7", "40B-7", "40B9", "40B-9", "40B11", "40B-11", "40B13", "40B-13", "40B17", "40B-17", "40B19", "40B-19"];
chartbl_1600_1811.OrderClassRepresentatives:= [1, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 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, 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, 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, 20, 20, 20, 20, 20, 20, 20, 20, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40];
chartbl_1600_1811.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, 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-1, -1, -1, -1, -1, -1, -1, -1], [1, 1, 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(4), -1*E(4), E(4), E(4), E(4), E(4), -1*E(4), -1*E(4), 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 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(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4)], [1, 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(4), E(4), -1*E(4), -1*E(4), -1*E(4), -1*E(4), E(4), E(4), 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 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(4), E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4)], [1, 1, 1, 1, -1, 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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), E(4), 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -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(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4)], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(5)^-2, E(5)^2, E(5)^-1, E(5), 1, E(5)^2, E(5)^-2, E(5)^-2, E(5), E(5), E(5)^-1, 1, E(5)^-1, E(5)^2, 1, 1, 1, 1, 1, 1, 1, 1, E(5)^-2, E(5)^2, E(5)^-1, E(5)^-2, E(5)^-1, E(5), E(5)^-2, E(5)^-1, E(5), E(5)^2, E(5)^2, E(5), E(5)^2, E(5)^2, 1, 1, E(5), E(5)^-1, E(5)^-2, E(5)^-1, E(5), E(5), E(5)^-2, E(5)^2, 1, E(5)^-2, E(5)^-2, E(5)^-2, 1, E(5)^2, E(5), E(5)^-1, 1, E(5)^2, E(5), 1, E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-1, E(5)^-1, E(5), E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^2, E(5)^-1, E(5)^-2, E(5)^-1, E(5)^2, E(5), E(5)^-2, E(5), E(5)^-2, E(5)^2, E(5)^2, E(5)^-1, E(5)^2, E(5)^-2, E(5)^2, E(5)^-1, E(5)^-1, 1, 1, E(5)^-2, E(5)^-1, E(5)^2, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5), 1, E(5), E(5), E(5)^-2, 1, E(5), E(5)^-1, E(5)^-2, E(5), E(5)^2, E(5)^2, 1, E(5)^-2, E(5)^-1, 1, E(5)^-2, E(5)^-2, E(5)^2, E(5), 1, E(5), E(5)^-1, E(5)^-2, E(5), E(5)^-2, E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5), E(5), 1, E(5)^2, E(5)^-1, E(5)^-2, E(5)^-2, 1, E(5)^2, E(5)^2, 1, 1, E(5)^-2, 1, E(5)^-1, E(5), E(5)^-1, E(5)^2, E(5)^2, E(5), E(5)^2, 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-1*E(40)^3+E(40)^7-E(40)^9-E(40)^11+E(40)^15, E(40)-E(40)^11], [2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, -2*E(40)^12, 2*E(40)^8, 2*E(40)^16, -2*E(40)^4, 2, 2*E(40)^8, -2*E(40)^12, -2*E(40)^12, -2*E(40)^4, -2*E(40)^4, 2*E(40)^16, 2, 2*E(40)^16, 2*E(40)^8, E(40)^5+E(40)^-5, 0, -1*E(40)^5-E(40)^-5, 0, 0, E(40)^5+E(40)^-5, 0, -1*E(40)^5-E(40)^-5, 2*E(40)^12, -2*E(40)^8, -2*E(40)^16, -2*E(40)^12, -2*E(40)^16, -2*E(40)^4, 2*E(40)^12, 2*E(40)^16, 2*E(40)^4, 2*E(40)^8, -2*E(40)^8, 2*E(40)^4, -2*E(40)^8, -2*E(40)^8, 2, -2, -2*E(40)^4, -2*E(40)^16, -2*E(40)^12, 2*E(40)^16, 2*E(40)^4, 2*E(40)^4, 2*E(40)^12, 2*E(40)^8, -2, -2*E(40)^12, 2*E(40)^12, 2*E(40)^12, -2, -2*E(40)^8, 2*E(40)^4, 2*E(40)^16, 2, 2*E(40)^8, 2*E(40)^4, -2, -2*E(40)^16, -2*E(40)^16, -2*E(40)^4, -2*E(40)^8, 2*E(40)^12, -2*E(40)^16, 2*E(40)^16, -2*E(40)^4, 0, 0, 2*E(40)^8, 2*E(40)^12, 0, -2*E(40)^16, 0, 0, -2*E(40)^8, 0, -2*E(40)^12, 2*E(40)^4, 0, 0, -2*E(40)^8, -2*E(40)^16, 2*E(40)^8, 0, -2*E(40)^8, 0, 0, 2, 0, 0, 0, 0, -2*E(40)^12, 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2+4*E(5)+2*E(5)^2+2*E(5)^-2, -2*E(5)^2+2*E(5)^-2, 0, -2-4*E(5)-2*E(5)^2-2*E(5)^-2, 0, 0, 0, 2+4*E(5)+2*E(5)^2+2*E(5)^-2, 0, 2*E(5)^2-2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 2+4*E(5)+2*E(5)^2+2*E(5)^-2, -2*E(5)^2+2*E(5)^-2, 0, 2+4*E(5)+2*E(5)^2+2*E(5)^-2, -2*E(5)^2+2*E(5)^-2, -2*E(5)^2+2*E(5)^-2, 0, 0, 0, 0, -2-4*E(5)-2*E(5)^2-2*E(5)^-2, -2*E(5)^2+2*E(5)^-2, 0, -2-4*E(5)-2*E(5)^2-2*E(5)^-2, -2-4*E(5)-2*E(5)^2-2*E(5)^-2, 0, -2-4*E(5)-2*E(5)^2-2*E(5)^-2, 0, 0, 2*E(5)^2-2*E(5)^-2, 2*E(5)^2-2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^2-2*E(5)^-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], [4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, 4, -4, 4, -4, -4, -4, -4, 4, 2*E(5)^2+2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, 2*E(5)+2*E(5)^-1, -2*E(5)-2*E(5)^-1, 2*E(5)+2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, 2*E(5)+2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, 2*E(5)+2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2-4*E(5)-2*E(5)^2-2*E(5)^-2, 0, 0, 2*E(5)^2-2*E(5)^-2, 0, 2*E(5)^2-2*E(5)^-2, 2+4*E(5)+2*E(5)^2+2*E(5)^-2, 0, -2*E(5)^2+2*E(5)^-2, 0, 0, 0, 2*E(5)^2-2*E(5)^-2, 0, -2-4*E(5)-2*E(5)^2-2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^2-2*E(5)^-2, 2+4*E(5)+2*E(5)^2+2*E(5)^-2, 0, 2*E(5)^2-2*E(5)^-2, 2+4*E(5)+2*E(5)^2+2*E(5)^-2, 2+4*E(5)+2*E(5)^2+2*E(5)^-2, 0, 0, 0, 0, -2*E(5)^2+2*E(5)^-2, 2+4*E(5)+2*E(5)^2+2*E(5)^-2, 0, -2*E(5)^2+2*E(5)^-2, -2*E(5)^2+2*E(5)^-2, 0, -2*E(5)^2+2*E(5)^-2, 0, 0, -2-4*E(5)-2*E(5)^2-2*E(5)^-2, -2-4*E(5)-2*E(5)^2-2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2-4*E(5)-2*E(5)^2-2*E(5)^-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], [4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, 4, -4, 4, -4, -4, -4, -4, 4, 2*E(5)^2+2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, 2*E(5)+2*E(5)^-1, -2*E(5)-2*E(5)^-1, 2*E(5)+2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, 2*E(5)+2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, 2*E(5)+2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2+4*E(5)+2*E(5)^2+2*E(5)^-2, 0, 0, -2*E(5)^2+2*E(5)^-2, 0, -2*E(5)^2+2*E(5)^-2, -2-4*E(5)-2*E(5)^2-2*E(5)^-2, 0, 2*E(5)^2-2*E(5)^-2, 0, 0, 0, -2*E(5)^2+2*E(5)^-2, 0, 2+4*E(5)+2*E(5)^2+2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^2+2*E(5)^-2, -2-4*E(5)-2*E(5)^2-2*E(5)^-2, 0, -2*E(5)^2+2*E(5)^-2, -2-4*E(5)-2*E(5)^2-2*E(5)^-2, -2-4*E(5)-2*E(5)^2-2*E(5)^-2, 0, 0, 0, 0, 2*E(5)^2-2*E(5)^-2, -2-4*E(5)-2*E(5)^2-2*E(5)^-2, 0, 2*E(5)^2-2*E(5)^-2, 2*E(5)^2-2*E(5)^-2, 0, 2*E(5)^2-2*E(5)^-2, 0, 0, 2+4*E(5)+2*E(5)^2+2*E(5)^-2, 2+4*E(5)+2*E(5)^2+2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2+4*E(5)+2*E(5)^2+2*E(5)^-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]];
ConvertToLibraryCharacterTableNC(chartbl_1600_1811);