# Group 40000.iu downloaded from the LMFDB on 05 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(10705695773461910286164023905819816298811083249926320901428464093876888459262041034475090830078719555823597635310633661234708701217479645401883448481052913817673521931838121246645850535248266047,40000); a := GPC.1; b := GPC.2; c := GPC.4; d := GPC.5; e := GPC.7; f := GPC.9; g := GPC.10;
GPerm := Group( (1,3,2,7,5,10,6,9,15,16)(4,13,12,20,8,11,18,19,14,17)(21,22,25,27)(23,26,28,24), (1,2,5,6,15)(3,9)(7,10)(8,18)(11,13,19,20,17)(12,14)(21,22)(23,24)(25,27)(26,28), (1,4,6,12,2,8,15,18,5,14)(3,11,10,20,16,13,7,17,9,19)(21,22,25,27)(23,26,28,24), (2,6,15,5)(3,10,7,16)(4,12,14,18)(11,13,20,19)(21,23,25,28)(22,24,27,26) );

 
# Booleans 
booleans_40000_iu := rec( 
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := false,
metacyclic := false,
nilpotent := false,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := false); 

 
# Character Table 
chartbl_40000_iu:=rec(); 
chartbl_40000_iu.IsFinite:= true; 
chartbl_40000_iu.UnderlyingCharacteristic:= 0; 
chartbl_40000_iu.UnderlyingGroup:= GPC;
chartbl_40000_iu.Size:= 40000;
chartbl_40000_iu.InfoText:= "Character table for group 40000.iu downloaded from the LMFDB."; 
chartbl_40000_iu.Identifier:= " (SO(3,7)*S4^2).C2^2 "; 
chartbl_40000_iu.NrConjugacyClasses:= 169; 
chartbl_40000_iu.ConjugacyClasses:= [<identity> of ..., f3*f4*f6^4*f9^2*f10^2, f7*f8^2, f5*f6^2, f4*f5*f8*f9^3, f3*f7*f9*f10^2, f5*f6^2*f7*f9, f1*f2*f5*f6^2*f8^3*f9^2*f10^3, f3*f6^4*f8^2*f9^3, f4*f9*f10^3, f2*f5*f7*f8*f9^4, f2*f3*f4*f5*f6^4*f7*f8*f9*f10^3, f1*f6^4*f7*f8^4*f9^4, f1*f3*f4*f6^3*f7*f8^4*f9^2*f10^3, f1*f6^3*f8^3, f2*f7*f8^4*f9^4*f10^2, f1*f2*f4*f6*f7*f8^3*f10^4, f1*f4*f5*f6^2*f7*f9^2*f10, f1*f5*f6*f7*f8^2*f9^2*f10^4, f2*f4*f5*f6*f8^4*f9^2*f10, f2*f3*f4*f5*f10^2, f2*f6^2*f8^2*f10^3, f1*f2*f3*f4*f5*f7*f8^3*f9^4*f10, f1*f2*f6^3*f8^4*f9^3*f10^2, f1*f4*f5*f6^4*f8^2*f9*f10, f6^2, f6^4, f6^4*f8, f6^3*f8^2, f6*f10^4, f6^2*f10^3, f6*f8^4*f9*f10^4, f6^2*f8^3*f9^2*f10^3, f6*f8^4*f9^4*f10^4, f6^2*f8^3*f9^3*f10^3, f6^2*f9^3, f6^4*f9, f6^2*f9, f6^2*f10, f6^2*f8^4*f9^3*f10, f9*f10^3, f6^4*f8^3*f9^2*f10^4, f6^4*f8^4*f9^2*f10^3, f6^2*f8^3*f9^4*f10, f6^3*f8^4*f9*f10^2, f6^2*f8^4*f9^3*f10^4, f6^2*f9*f10, f6^4*f9^2*f10^2, f6^2*f9*f10^3, f6^4*f9^2*f10, f6^2*f9^3*f10, f6^4*f9*f10^2, f6^4*f9*f10, f6^3*f9^2*f10^2, f6^2*f8^4*f9*f10, f6^4*f8^3*f9^2*f10^2, f6^2*f8*f9*f10, f6^4*f8^2*f9^2*f10^2, f3*f4*f9^2*f10^2, f3*f4*f6^4*f10^2, f3*f4*f6^3*f8^4*f9^2*f10^2, f3*f4*f6*f8^2*f9^2*f10^2, f3*f4*f6^4*f8^3*f9^4*f10^2, f3*f4*f6^4*f8^4*f9^3*f10^2, f3*f4*f6*f8^2*f9^4*f10^4, f3*f4*f8*f9^3*f10^3, f3*f4*f6^2*f8^2*f9^4*f10^4, f3*f4*f6^3*f8*f9^3*f10^3, f3*f4*f9*f10^2, f3*f4*f6^2*f9^4*f10^2, f3*f4*f10^2, f3*f4*f9^2, f3*f4*f8^2*f9, f3*f4*f6^4*f10, f3*f4*f6*f8^4*f9^3*f10^4, f3*f4*f6*f8^2*f9^3*f10, f3*f4*f8^4*f9^4, f3*f4*f6^3*f8^2*f10^3, f3*f4*f8^2*f9*f10^4, f3*f4, f3*f4*f8*f10^2, f3*f4*f10, f3*f4*f6*f9, f3*f4*f9, f3*f4*f6*f10, f3*f4*f6, f3*f4*f9*f10, f3*f4*f8^2, f3*f4*f8*f10^3, f3*f4*f8^3, f3*f4*f8*f10, f7, f7*f8, f5, f5*f6, f6^2*f7, f6*f7*f8, f5*f10^2, f5*f6*f10, f5*f7*f9, f5*f6*f7*f9, f4*f5*f8, f4*f5*f9^3, f4*f5*f7, f5*f6^2*f7, f3*f7*f10, f3*f7*f9^3, f3*f7*f9, f3*f7*f10^2, f1*f2*f5, f1*f2*f4*f5*f6^2, f4*f5*f9^2, f4*f5*f8^3, f1*f2*f5*f10^2, f1*f2*f4*f5*f6, f3*f4*f5*f9*f10^4, f4*f7*f8^2*f9^3*f10^2, f3*f4*f6^3*f7*f8^4*f9^2*f10^3, f5*f6^3*f8*f9*f10^3, f3*f4*f5*f6^3*f7*f9^4*f10^4, f3*f4*f5*f6^2*f7*f9*f10^4, f1*f2*f5*f6*f8^4*f9^2*f10^2, f1*f2*f5*f8^4*f9*f10^2, f1*f2*f3*f5*f6^2*f10^2, f1*f2*f3*f5*f6*f8^3*f9*f10^4, f3*f5*f7*f8^4*f9*f10, f3*f5*f7*f8*f9*f10^4, f1, f1*f4, f1*f4*f8, f1*f8^3, f2*f5*f7, f2*f3*f4*f5*f7*f10, f2*f3*f4*f5*f7, f2*f5*f7*f8, f1*f7*f10, f1*f4*f6*f7*f9, f1*f4*f7, f1*f7*f8^2, f1*f3*f7, f1*f4*f7*f10, f1*f3*f4*f7, f1*f7*f10^4, f2*f7*f10^2, f2*f7*f9^3, f2*f4*f7*f9^2, f2*f7*f9^2*f10^2, f2*f4*f5*f7, f2*f3*f5*f7, f2*f3*f5*f7*f9*f10, f2*f5*f7*f10^2, f2*f4*f6*f7*f8*f9^4, f2*f3*f7*f8^2, f2*f6^2*f7*f8^3*f9^2*f10, f2*f3*f4*f6^4*f7*f9^2*f10, f1*f3*f4*f6^2*f9, f1*f6*f8^3*f9^3*f10^4, f1*f2*f4*f6^4*f7*f8^3*f9^2*f10^4, f1*f2*f3*f6*f7*f8^3*f9^3*f10, f1*f4*f6^2*f7*f8^2*f9^3*f10^2, f1*f3*f6^2*f7*f8^3*f9^3*f10, f2*f3*f4*f5*f6^4*f7*f8^3*f9*f10^4, f2*f5*f6*f7*f8*f9, f1*f2*f3*f7*f8^3*f9^4*f10^3, f1*f2*f4*f6^3*f7*f8*f9^3*f10^4, f1*f4*f6^4*f8^2*f9*f10^3, f1*f3*f6*f8*f9^3, f1*f2*f3*f7*f8^4*f9^4*f10, f1*f2*f4*f7*f9];
chartbl_40000_iu.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];
chartbl_40000_iu.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 10, 10, 9, 9, 9, 10, 9, 10, 27, 26, 29, 28, 31, 30, 33, 32, 35, 34, 37, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 47, 50, 49, 52, 51, 54, 53, 56, 55, 58, 57, 26, 27, 29, 28, 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, 27, 26, 27, 26, 28, 29, 30, 31, 27, 26, 27, 26, 27, 26, 29, 28, 27, 26, 32, 33, 31, 30, 32, 33, 39, 41, 41, 39, 38, 38, 37, 36, 40, 40, 36, 37, 61, 61, 62, 62, 63, 63, 64, 64, 65, 65, 66, 66, 61, 61, 62, 62, 63, 63, 64, 64, 66, 66, 65, 65, 75, 75, 67, 68, 76, 76, 69, 70, 77, 77, 78, 78, 79, 79, 68, 67, 68, 67], [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, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 3, 3, 4, 4, 7, 7, 5, 5, 7, 7, 6, 6, 6, 6, 8, 8, 5, 5, 8, 8, 5, 3, 6, 4, 7, 7, 8, 8, 8, 8, 7, 7, 15, 15, 15, 15, 11, 12, 12, 11, 13, 14, 14, 13, 13, 14, 14, 13, 16, 16, 16, 16, 11, 12, 12, 11, 16, 16, 16, 16, 15, 15, 17, 17, 14, 13, 12, 11, 17, 17, 15, 15, 17, 17]];
chartbl_40000_iu.SizesCentralizers:= [40000, 40000, 800, 800, 800, 800, 400, 400, 64, 64, 800, 800, 800, 800, 400, 400, 400, 32, 32, 32, 32, 16, 16, 16, 16, 5000, 5000, 5000, 5000, 5000, 5000, 5000, 5000, 5000, 5000, 5000, 5000, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 5000, 5000, 5000, 5000, 5000, 5000, 5000, 5000, 5000, 5000, 5000, 5000, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 2500, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100];
chartbl_40000_iu.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "2I", "4A1", "4A-1", "4B1", "4B-1", "4C", "4D", "4E", "4F1", "4F-1", "4G1", "4G-1", "4H", "4I", "4J", "4K", "5A1", "5A2", "5B1", "5B2", "5C1", "5C2", "5D1", "5D2", "5E1", "5E2", "5F1", "5F2", "5G", "5H", "5I", "5J", "5K", "5L", "5M", "5N", "5O", "5P1", "5P2", "5Q1", "5Q2", "5R1", "5R2", "5S1", "5S2", "5T1", "5T2", "5U1", "5U2", "10A1", "10A3", "10B1", "10B3", "10C1", "10C3", "10D1", "10D3", "10E1", "10E3", "10F1", "10F3", "10G", "10H", "10I", "10J", "10K", "10L", "10M", "10N", "10O", "10P1", "10P3", "10Q1", "10Q3", "10R1", "10R3", "10S1", "10S3", "10T1", "10T3", "10U1", "10U3", "10V1", "10V3", "10W1", "10W3", "10X1", "10X3", "10Y1", "10Y3", "10Z1", "10Z3", "10AA1", "10AA3", "10AB1", "10AB3", "10AC1", "10AC3", "10AD1", "10AD3", "10AE1", "10AE3", "10AF1", "10AF3", "10AG1", "10AG3", "10AH", "10AI", "10AJ", "10AK", "10AL1", "10AL3", "10AM1", "10AM3", "10AN1", "10AN3", "10AO1", "10AO3", "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", "20E-1", "20E3", "20E-3", "20F1", "20F-1", "20F3", "20F-3", "20G1", "20G-1", "20H1", "20H3", "20I1", "20I-1", "20J1", "20J3", "20K1", "20K-1", "20L1", "20L-1", "20M1", "20M-1", "20N1", "20N3", "20O1", "20O3"];
chartbl_40000_iu.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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 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];
chartbl_40000_iu.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, 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-2, -2, -2, -1*E(5)-E(5)^-1, -3-2*E(5)^2-2*E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 2+3*E(5)^2+3*E(5)^-2, -1*E(5)-E(5)^-1, -1-3*E(5)^2-3*E(5)^-2, -1+2*E(5)^2+2*E(5)^-2, -1*E(5)^2-E(5)^-2, -3-2*E(5)^2-2*E(5)^-2, -1*E(5)^2-E(5)^-2, -1+2*E(5)^2+2*E(5)^-2, -2+2*E(5)^2+2*E(5)^-2, -4-2*E(5)^2-2*E(5)^-2, -2+2*E(5)^2+2*E(5)^-2, -4*E(5)^2-4*E(5)^-2, -2+2*E(5)^2+2*E(5)^-2, -6-E(5)^2-E(5)^-2, -4-2*E(5)^2-2*E(5)^-2, -5+E(5)^2+E(5)^-2, -4*E(5)-4*E(5)^-1, -4*E(5)^2-4*E(5)^-2, -4*E(5)-4*E(5)^-1, -4-2*E(5)^2-2*E(5)^-2, -3, 2, -3, 2, 2, 2, 2, 2, -3, 3+2*E(5)^2+2*E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 1-2*E(5)^2-2*E(5)^-2, E(5)^2+E(5)^-2, 1+3*E(5)^2+3*E(5)^-2, -2-3*E(5)^2-3*E(5)^-2, 1-2*E(5)^2-2*E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, 3+2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -3-E(5)^2-E(5)^-2, -2*E(5)-2*E(5)^-1, -1+E(5)^2+E(5)^-2, 1-E(5)^2-E(5)^-2, 1-E(5)^2-E(5)^-2, 3+E(5)^2+E(5)^-2, -2-E(5)^2-E(5)^-2, 2+E(5)^2+E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2-E(5)^2-E(5)^-2, 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-9-4*E(5)^2-4*E(5)^-2, 2+3*E(5)^2+3*E(5)^-2, -1-3*E(5)^2-3*E(5)^-2, 2+3*E(5)^2+3*E(5)^-2, -5+4*E(5)^2+4*E(5)^-2, 2+3*E(5)^2+3*E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1-3*E(5)^2-3*E(5)^-2, -1-3*E(5)^2-3*E(5)^-2, -1*E(5)-E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [32, -32, 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(5)-4*E(5)^-1, -4*E(5)^2-4*E(5)^-2, -4*E(5)-4*E(5)^-1, -4*E(5)-4*E(5)^-1, 8+12*E(5)^2+12*E(5)^-2, -4*E(5)^2-4*E(5)^-2, -4+8*E(5)^2+8*E(5)^-2, -4-12*E(5)^2-12*E(5)^-2, -4+8*E(5)^2+8*E(5)^-2, -12-8*E(5)^2-8*E(5)^-2, -12-8*E(5)^2-8*E(5)^-2, -4*E(5)^2-4*E(5)^-2, 2, 2, -8, -8, 2, -8, 2, 2, 2, -2-3*E(5)^2-3*E(5)^-2, E(5)^2+E(5)^-2, 1+3*E(5)^2+3*E(5)^-2, -2-3*E(5)^2-3*E(5)^-2, 5-4*E(5)^2-4*E(5)^-2, -2-3*E(5)^2-3*E(5)^-2, 9+4*E(5)^2+4*E(5)^-2, E(5)+E(5)^-1, 1+3*E(5)^2+3*E(5)^-2, E(5)^2+E(5)^-2, 1+3*E(5)^2+3*E(5)^-2, E(5)+E(5)^-1, 4*E(5)^2+4*E(5)^-2, 4*E(5)+4*E(5)^-1, 4*E(5)^2+4*E(5)^-2, 4-8*E(5)^2-8*E(5)^-2, 4*E(5)^2+4*E(5)^-2, -8-12*E(5)^2-12*E(5)^-2, 4*E(5)+4*E(5)^-1, 4+12*E(5)^2+12*E(5)^-2, 12+8*E(5)^2+8*E(5)^-2, 4-8*E(5)^2-8*E(5)^-2, 12+8*E(5)^2+8*E(5)^-2, 4*E(5)+4*E(5)^-1, 8, -2, 8, -2, -2, -2, -2, -2, 8, -1*E(5)^2-E(5)^-2, -1-3*E(5)^2-3*E(5)^-2, 2+3*E(5)^2+3*E(5)^-2, -1-3*E(5)^2-3*E(5)^-2, -1*E(5)-E(5)^-1, -1-3*E(5)^2-3*E(5)^-2, -9-4*E(5)^2-4*E(5)^-2, -5+4*E(5)^2+4*E(5)^-2, -1*E(5)-E(5)^-1, 2+3*E(5)^2+3*E(5)^-2, 2+3*E(5)^2+3*E(5)^-2, -1*E(5)^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], [32, -32, 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(5)^2-4*E(5)^-2, -4*E(5)-4*E(5)^-1, -4*E(5)^2-4*E(5)^-2, -4*E(5)^2-4*E(5)^-2, -4-12*E(5)^2-12*E(5)^-2, -4*E(5)-4*E(5)^-1, -12-8*E(5)^2-8*E(5)^-2, 8+12*E(5)^2+12*E(5)^-2, -12-8*E(5)^2-8*E(5)^-2, -4+8*E(5)^2+8*E(5)^-2, -4+8*E(5)^2+8*E(5)^-2, -4*E(5)-4*E(5)^-1, 2, 2, -8, -8, 2, -8, 2, 2, 2, 1+3*E(5)^2+3*E(5)^-2, E(5)+E(5)^-1, -2-3*E(5)^2-3*E(5)^-2, 1+3*E(5)^2+3*E(5)^-2, 9+4*E(5)^2+4*E(5)^-2, 1+3*E(5)^2+3*E(5)^-2, 5-4*E(5)^2-4*E(5)^-2, E(5)^2+E(5)^-2, -2-3*E(5)^2-3*E(5)^-2, E(5)+E(5)^-1, -2-3*E(5)^2-3*E(5)^-2, E(5)^2+E(5)^-2, 4*E(5)+4*E(5)^-1, 4*E(5)^2+4*E(5)^-2, 4*E(5)+4*E(5)^-1, 12+8*E(5)^2+8*E(5)^-2, 4*E(5)+4*E(5)^-1, 4+12*E(5)^2+12*E(5)^-2, 4*E(5)^2+4*E(5)^-2, -8-12*E(5)^2-12*E(5)^-2, 4-8*E(5)^2-8*E(5)^-2, 12+8*E(5)^2+8*E(5)^-2, 4-8*E(5)^2-8*E(5)^-2, 4*E(5)^2+4*E(5)^-2, 8, -2, 8, -2, -2, -2, -2, -2, 8, -1*E(5)-E(5)^-1, 2+3*E(5)^2+3*E(5)^-2, -1-3*E(5)^2-3*E(5)^-2, 2+3*E(5)^2+3*E(5)^-2, -1*E(5)^2-E(5)^-2, 2+3*E(5)^2+3*E(5)^-2, -5+4*E(5)^2+4*E(5)^-2, -9-4*E(5)^2-4*E(5)^-2, -1*E(5)^2-E(5)^-2, -1-3*E(5)^2-3*E(5)^-2, -1-3*E(5)^2-3*E(5)^-2, -1*E(5)-E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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_40000_iu);