# Group 128.161 downloaded from the LMFDB on 21 September 2026. ## Various presentations of this group are stored in this file: # GPC is polycyclic presentation, GPerm is permutation group # GLZ, GLFp, GLZN, 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(1267492161438235409841653758,128); a := GPC.1; b := GPC.2; GPerm := Group( (1,33)(2,34)(3,35)(4,36)(5,37)(6,38)(7,39)(8,40)(9,41)(10,42)(11,43)(12,44)(13,45)(14,46)(15,47)(16,48)(17,49)(18,50)(19,51)(20,52)(21,53)(22,54)(23,55)(24,56)(25,57)(26,58)(27,59)(28,60)(29,61)(30,62)(31,63)(32,64), (3,4)(5,7)(6,8)(9,13)(10,14)(11,16)(12,15)(17,25)(18,26)(19,28)(20,27)(21,31)(22,32)(23,29)(24,30)(33,57)(34,58)(35,60)(36,59)(37,63)(38,64)(39,61)(40,62)(41,49)(42,50)(43,52)(44,51)(45,55)(46,56)(47,53)(48,54), (1,25,9,23,7,31,15,19,3,27,11,22,6,30,14,18,2,26,10,24,8,32,16,20,4,28,12,21,5,29,13,17)(33,49,45,61,37,53,44,60,36,52,48,64,40,56,42,58,34,50,46,62,38,54,43,59,35,51,47,63,39,55,41,57), (1,13,5,12,4,16,8,10,2,14,6,11,3,15,7,9)(17,29,21,28,20,32,24,26,18,30,22,27,19,31,23,25)(33,41,39,47,35,43,38,46,34,42,40,48,36,44,37,45)(49,57,55,63,51,59,54,62,50,58,56,64,52,60,53,61), (1,7,3,6,2,8,4,5)(9,15,11,14,10,16,12,13)(17,23,19,22,18,24,20,21)(25,31,27,30,26,32,28,29)(33,37,36,40,34,38,35,39)(41,45,44,48,42,46,43,47)(49,53,52,56,50,54,51,55)(57,61,60,64,58,62,59,63), (1,4,2,3)(5,8,6,7)(9,12,10,11)(13,16,14,15)(17,20,18,19)(21,24,22,23)(25,28,26,27)(29,32,30,31)(33,35,34,36)(37,39,38,40)(41,43,42,44)(45,47,46,48)(49,51,50,52)(53,55,54,56)(57,59,58,60)(61,63,62,64), (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) ); GLFp := Group([[[ Z(127)^0, 0*Z(127) ], [ 0*Z(127), Z(127)^63 ]], [[ Z(127)^25, Z(127)^112 ], [ Z(127)^111, Z(127)^25 ]]]); # Booleans booleans_128_161 := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := true, metacyclic := true, monomial := true, nilpotent := true, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := true); # Character Table chartbl_128_161:=rec(); chartbl_128_161.IsFinite:= true; chartbl_128_161.UnderlyingCharacteristic:= 0; chartbl_128_161.UnderlyingGroup:= GPC; chartbl_128_161.Size:= 128; chartbl_128_161.InfoText:= "Character table for group 128.161 downloaded from the LMFDB."; chartbl_128_161.Identifier:= " D64 "; chartbl_128_161.NrConjugacyClasses:= 35; chartbl_128_161.ConjugacyClasses:= [ of ..., f7, f1*f2*f3, f1*f5, f6, f5, f5*f6, f4, f4*f5, f4*f6, f4*f5*f6, f3, f3*f4, f3*f5, f3*f4*f5, f3*f6, f3*f4*f6, f3*f5*f6, f3*f4*f5*f6, f2, f2*f3, f2*f4, f2*f3*f4, f2*f5, f2*f3*f5, f2*f4*f5, f2*f6*f7, f2*f6, f2*f3*f6, f2*f4*f6, f2*f5*f7, f2*f5*f6, f2*f4*f7, f2*f3*f7, f2*f7]; chartbl_128_161.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]; chartbl_128_161.ComputedPowerMaps:= []; chartbl_128_161.ComputedPowerMaps[2]:= [1, 1, 1, 1, 2, 5, 5, 6, 7, 7, 6, 8, 9, 10, 11, 11, 10, 9, 8, 12, 13, 14, 15, 16, 17, 18, 19, 19, 18, 17, 16, 15, 14, 13, 12]; chartbl_128_161.SizesCentralizers:= [128, 128, 4, 4, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64]; chartbl_128_161.ClassNames:= ["1A", "2A", "2B", "2C", "4A", "8A1", "8A3", "16A1", "16A3", "16A5", "16A7", "32A1", "32A3", "32A5", "32A7", "32A9", "32A11", "32A13", "32A15", "64A1", "64A3", "64A5", "64A7", "64A9", "64A11", "64A13", "64A15", "64A17", "64A19", "64A21", "64A23", "64A25", "64A27", "64A29", "64A31"]; chartbl_128_161.OrderClassRepresentatives:= [1, 2, 2, 2, 4, 8, 8, 16, 16, 16, 16, 32, 32, 32, 32, 32, 32, 32, 32, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64]; chartbl_128_161.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], [2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(8)-E(8)^-1, E(8)+E(8)^-1, E(8)+E(8)^-1, E(8)+E(8)^-1, -1*E(8)-E(8)^-1, -1*E(8)-E(8)^-1, E(8)+E(8)^-1, -1*E(8)-E(8)^-1, -1*E(8)-E(8)^-1, E(8)+E(8)^-1, E(8)+E(8)^-1, -1*E(8)-E(8)^-1, E(8)+E(8)^-1, -1*E(8)-E(8)^-1, E(8)+E(8)^-1, -1*E(8)-E(8)^-1], [2, 2, 0, 0, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, E(8)+E(8)^-1, -1*E(8)-E(8)^-1, -1*E(8)-E(8)^-1, -1*E(8)-E(8)^-1, E(8)+E(8)^-1, E(8)+E(8)^-1, -1*E(8)-E(8)^-1, E(8)+E(8)^-1, E(8)+E(8)^-1, -1*E(8)-E(8)^-1, -1*E(8)-E(8)^-1, E(8)+E(8)^-1, -1*E(8)-E(8)^-1, E(8)+E(8)^-1, -1*E(8)-E(8)^-1, E(8)+E(8)^-1], [2, 2, 0, 0, 2, -2, -2, 0, 0, 0, 0, -1*E(16)^2-E(16)^-2, E(16)^2+E(16)^-2, E(16)^2+E(16)^-2, E(16)^2+E(16)^-2, -1*E(16)^2-E(16)^-2, -1*E(16)^2-E(16)^-2, E(16)^2+E(16)^-2, -1*E(16)^2-E(16)^-2, -1*E(16)^3-E(16)^-3, E(16)+E(16)^-1, E(16)+E(16)^-1, -1*E(16)-E(16)^-1, E(16)^3+E(16)^-3, -1*E(16)^3-E(16)^-3, E(16)+E(16)^-1, E(16)^3+E(16)^-3, -1*E(16)^3-E(16)^-3, -1*E(16)-E(16)^-1, -1*E(16)-E(16)^-1, E(16)^3+E(16)^-3, -1*E(16)-E(16)^-1, E(16)^3+E(16)^-3, E(16)+E(16)^-1, -1*E(16)^3-E(16)^-3], [2, 2, 0, 0, 2, -2, -2, 0, 0, 0, 0, -1*E(16)^2-E(16)^-2, E(16)^2+E(16)^-2, E(16)^2+E(16)^-2, E(16)^2+E(16)^-2, -1*E(16)^2-E(16)^-2, -1*E(16)^2-E(16)^-2, E(16)^2+E(16)^-2, -1*E(16)^2-E(16)^-2, E(16)^3+E(16)^-3, -1*E(16)-E(16)^-1, -1*E(16)-E(16)^-1, E(16)+E(16)^-1, -1*E(16)^3-E(16)^-3, E(16)^3+E(16)^-3, -1*E(16)-E(16)^-1, -1*E(16)^3-E(16)^-3, E(16)^3+E(16)^-3, E(16)+E(16)^-1, E(16)+E(16)^-1, -1*E(16)^3-E(16)^-3, E(16)+E(16)^-1, -1*E(16)^3-E(16)^-3, -1*E(16)-E(16)^-1, E(16)^3+E(16)^-3], [2, 2, 0, 0, 2, -2, -2, 0, 0, 0, 0, E(16)^2+E(16)^-2, -1*E(16)^2-E(16)^-2, -1*E(16)^2-E(16)^-2, -1*E(16)^2-E(16)^-2, E(16)^2+E(16)^-2, E(16)^2+E(16)^-2, -1*E(16)^2-E(16)^-2, E(16)^2+E(16)^-2, -1*E(16)-E(16)^-1, -1*E(16)^3-E(16)^-3, -1*E(16)^3-E(16)^-3, E(16)^3+E(16)^-3, E(16)+E(16)^-1, -1*E(16)-E(16)^-1, -1*E(16)^3-E(16)^-3, E(16)+E(16)^-1, -1*E(16)-E(16)^-1, E(16)^3+E(16)^-3, E(16)^3+E(16)^-3, E(16)+E(16)^-1, E(16)^3+E(16)^-3, E(16)+E(16)^-1, -1*E(16)^3-E(16)^-3, -1*E(16)-E(16)^-1], [2, 2, 0, 0, 2, -2, -2, 0, 0, 0, 0, E(16)^2+E(16)^-2, -1*E(16)^2-E(16)^-2, -1*E(16)^2-E(16)^-2, -1*E(16)^2-E(16)^-2, E(16)^2+E(16)^-2, E(16)^2+E(16)^-2, -1*E(16)^2-E(16)^-2, E(16)^2+E(16)^-2, E(16)+E(16)^-1, E(16)^3+E(16)^-3, E(16)^3+E(16)^-3, -1*E(16)^3-E(16)^-3, -1*E(16)-E(16)^-1, E(16)+E(16)^-1, E(16)^3+E(16)^-3, -1*E(16)-E(16)^-1, E(16)+E(16)^-1, -1*E(16)^3-E(16)^-3, -1*E(16)^3-E(16)^-3, -1*E(16)-E(16)^-1, -1*E(16)^3-E(16)^-3, -1*E(16)-E(16)^-1, E(16)^3+E(16)^-3, E(16)+E(16)^-1], [2, 2, 0, 0, -2, 0, 0, -1*E(32)^4-E(32)^-4, -1*E(32)^4-E(32)^-4, E(32)^4+E(32)^-4, E(32)^4+E(32)^-4, -1*E(32)^6-E(32)^-6, -1*E(32)^2-E(32)^-2, E(32)^2+E(32)^-2, -1*E(32)^2-E(32)^-2, -1*E(32)^6-E(32)^-6, E(32)^6+E(32)^-6, E(32)^2+E(32)^-2, E(32)^6+E(32)^-6, -1*E(32)^3-E(32)^-3, E(32)^7+E(32)^-7, -1*E(32)^7-E(32)^-7, E(32)+E(32)^-1, E(32)^5+E(32)^-5, E(32)^3+E(32)^-3, -1*E(32)^7-E(32)^-7, E(32)^5+E(32)^-5, E(32)^3+E(32)^-3, -1*E(32)-E(32)^-1, -1*E(32)-E(32)^-1, -1*E(32)^5-E(32)^-5, E(32)+E(32)^-1, -1*E(32)^5-E(32)^-5, E(32)^7+E(32)^-7, -1*E(32)^3-E(32)^-3], [2, 2, 0, 0, -2, 0, 0, -1*E(32)^4-E(32)^-4, -1*E(32)^4-E(32)^-4, E(32)^4+E(32)^-4, E(32)^4+E(32)^-4, -1*E(32)^6-E(32)^-6, -1*E(32)^2-E(32)^-2, E(32)^2+E(32)^-2, -1*E(32)^2-E(32)^-2, -1*E(32)^6-E(32)^-6, E(32)^6+E(32)^-6, E(32)^2+E(32)^-2, E(32)^6+E(32)^-6, E(32)^3+E(32)^-3, -1*E(32)^7-E(32)^-7, E(32)^7+E(32)^-7, -1*E(32)-E(32)^-1, -1*E(32)^5-E(32)^-5, -1*E(32)^3-E(32)^-3, E(32)^7+E(32)^-7, -1*E(32)^5-E(32)^-5, -1*E(32)^3-E(32)^-3, E(32)+E(32)^-1, E(32)+E(32)^-1, E(32)^5+E(32)^-5, -1*E(32)-E(32)^-1, E(32)^5+E(32)^-5, -1*E(32)^7-E(32)^-7, E(32)^3+E(32)^-3], [2, 2, 0, 0, -2, 0, 0, -1*E(32)^4-E(32)^-4, -1*E(32)^4-E(32)^-4, E(32)^4+E(32)^-4, E(32)^4+E(32)^-4, E(32)^6+E(32)^-6, E(32)^2+E(32)^-2, -1*E(32)^2-E(32)^-2, E(32)^2+E(32)^-2, E(32)^6+E(32)^-6, -1*E(32)^6-E(32)^-6, -1*E(32)^2-E(32)^-2, -1*E(32)^6-E(32)^-6, -1*E(32)^5-E(32)^-5, E(32)+E(32)^-1, -1*E(32)-E(32)^-1, -1*E(32)^7-E(32)^-7, -1*E(32)^3-E(32)^-3, E(32)^5+E(32)^-5, -1*E(32)-E(32)^-1, -1*E(32)^3-E(32)^-3, E(32)^5+E(32)^-5, E(32)^7+E(32)^-7, E(32)^7+E(32)^-7, E(32)^3+E(32)^-3, -1*E(32)^7-E(32)^-7, E(32)^3+E(32)^-3, E(32)+E(32)^-1, -1*E(32)^5-E(32)^-5], [2, 2, 0, 0, -2, 0, 0, -1*E(32)^4-E(32)^-4, -1*E(32)^4-E(32)^-4, E(32)^4+E(32)^-4, E(32)^4+E(32)^-4, E(32)^6+E(32)^-6, E(32)^2+E(32)^-2, -1*E(32)^2-E(32)^-2, E(32)^2+E(32)^-2, E(32)^6+E(32)^-6, -1*E(32)^6-E(32)^-6, -1*E(32)^2-E(32)^-2, -1*E(32)^6-E(32)^-6, E(32)^5+E(32)^-5, -1*E(32)-E(32)^-1, E(32)+E(32)^-1, E(32)^7+E(32)^-7, E(32)^3+E(32)^-3, -1*E(32)^5-E(32)^-5, E(32)+E(32)^-1, E(32)^3+E(32)^-3, -1*E(32)^5-E(32)^-5, -1*E(32)^7-E(32)^-7, -1*E(32)^7-E(32)^-7, -1*E(32)^3-E(32)^-3, E(32)^7+E(32)^-7, -1*E(32)^3-E(32)^-3, -1*E(32)-E(32)^-1, E(32)^5+E(32)^-5], [2, 2, 0, 0, -2, 0, 0, E(32)^4+E(32)^-4, E(32)^4+E(32)^-4, -1*E(32)^4-E(32)^-4, -1*E(32)^4-E(32)^-4, -1*E(32)^2-E(32)^-2, E(32)^6+E(32)^-6, -1*E(32)^6-E(32)^-6, E(32)^6+E(32)^-6, -1*E(32)^2-E(32)^-2, E(32)^2+E(32)^-2, -1*E(32)^6-E(32)^-6, E(32)^2+E(32)^-2, -1*E(32)-E(32)^-1, -1*E(32)^3-E(32)^-3, E(32)^3+E(32)^-3, -1*E(32)^5-E(32)^-5, -1*E(32)^7-E(32)^-7, E(32)+E(32)^-1, E(32)^3+E(32)^-3, -1*E(32)^7-E(32)^-7, E(32)+E(32)^-1, E(32)^5+E(32)^-5, E(32)^5+E(32)^-5, E(32)^7+E(32)^-7, -1*E(32)^5-E(32)^-5, E(32)^7+E(32)^-7, -1*E(32)^3-E(32)^-3, -1*E(32)-E(32)^-1], [2, 2, 0, 0, -2, 0, 0, E(32)^4+E(32)^-4, E(32)^4+E(32)^-4, -1*E(32)^4-E(32)^-4, -1*E(32)^4-E(32)^-4, -1*E(32)^2-E(32)^-2, E(32)^6+E(32)^-6, -1*E(32)^6-E(32)^-6, E(32)^6+E(32)^-6, -1*E(32)^2-E(32)^-2, E(32)^2+E(32)^-2, -1*E(32)^6-E(32)^-6, E(32)^2+E(32)^-2, E(32)+E(32)^-1, E(32)^3+E(32)^-3, -1*E(32)^3-E(32)^-3, E(32)^5+E(32)^-5, E(32)^7+E(32)^-7, -1*E(32)-E(32)^-1, -1*E(32)^3-E(32)^-3, E(32)^7+E(32)^-7, -1*E(32)-E(32)^-1, -1*E(32)^5-E(32)^-5, -1*E(32)^5-E(32)^-5, -1*E(32)^7-E(32)^-7, E(32)^5+E(32)^-5, -1*E(32)^7-E(32)^-7, E(32)^3+E(32)^-3, E(32)+E(32)^-1], [2, 2, 0, 0, -2, 0, 0, E(32)^4+E(32)^-4, E(32)^4+E(32)^-4, -1*E(32)^4-E(32)^-4, -1*E(32)^4-E(32)^-4, E(32)^2+E(32)^-2, -1*E(32)^6-E(32)^-6, E(32)^6+E(32)^-6, -1*E(32)^6-E(32)^-6, E(32)^2+E(32)^-2, -1*E(32)^2-E(32)^-2, E(32)^6+E(32)^-6, -1*E(32)^2-E(32)^-2, -1*E(32)^7-E(32)^-7, E(32)^5+E(32)^-5, -1*E(32)^5-E(32)^-5, -1*E(32)^3-E(32)^-3, E(32)+E(32)^-1, E(32)^7+E(32)^-7, -1*E(32)^5-E(32)^-5, E(32)+E(32)^-1, E(32)^7+E(32)^-7, E(32)^3+E(32)^-3, E(32)^3+E(32)^-3, -1*E(32)-E(32)^-1, -1*E(32)^3-E(32)^-3, -1*E(32)-E(32)^-1, E(32)^5+E(32)^-5, -1*E(32)^7-E(32)^-7], [2, 2, 0, 0, -2, 0, 0, E(32)^4+E(32)^-4, E(32)^4+E(32)^-4, -1*E(32)^4-E(32)^-4, -1*E(32)^4-E(32)^-4, E(32)^2+E(32)^-2, -1*E(32)^6-E(32)^-6, E(32)^6+E(32)^-6, -1*E(32)^6-E(32)^-6, E(32)^2+E(32)^-2, -1*E(32)^2-E(32)^-2, E(32)^6+E(32)^-6, -1*E(32)^2-E(32)^-2, E(32)^7+E(32)^-7, -1*E(32)^5-E(32)^-5, E(32)^5+E(32)^-5, E(32)^3+E(32)^-3, -1*E(32)-E(32)^-1, -1*E(32)^7-E(32)^-7, E(32)^5+E(32)^-5, -1*E(32)-E(32)^-1, -1*E(32)^7-E(32)^-7, -1*E(32)^3-E(32)^-3, -1*E(32)^3-E(32)^-3, E(32)+E(32)^-1, E(32)^3+E(32)^-3, E(32)+E(32)^-1, -1*E(32)^5-E(32)^-5, E(32)^7+E(32)^-7], [2, -2, 0, 0, 0, -1*E(64)^8-E(64)^-8, E(64)^8+E(64)^-8, -1*E(64)^12-E(64)^-12, E(64)^12+E(64)^-12, E(64)^4+E(64)^-4, -1*E(64)^4-E(64)^-4, -1*E(64)^6-E(64)^-6, -1*E(64)^2-E(64)^-2, E(64)^14+E(64)^-14, E(64)^2+E(64)^-2, E(64)^6+E(64)^-6, E(64)^10+E(64)^-10, -1*E(64)^14-E(64)^-14, -1*E(64)^10-E(64)^-10, -1*E(64)^5-E(64)^-5, -1*E(64)^15-E(64)^-15, E(64)+E(64)^-1, -1*E(64)^7-E(64)^-7, E(64)^3+E(64)^-3, E(64)^11+E(64)^-11, -1*E(64)-E(64)^-1, -1*E(64)^3-E(64)^-3, -1*E(64)^11-E(64)^-11, 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E(64)+E(64)^-1, E(64)^11+E(64)^-11, -1*E(64)^7-E(64)^-7], [2, -2, 0, 0, 0, E(64)^8+E(64)^-8, -1*E(64)^8-E(64)^-8, E(64)^4+E(64)^-4, -1*E(64)^4-E(64)^-4, E(64)^12+E(64)^-12, -1*E(64)^12-E(64)^-12, -1*E(64)^14-E(64)^-14, E(64)^6+E(64)^-6, E(64)^10+E(64)^-10, -1*E(64)^6-E(64)^-6, E(64)^14+E(64)^-14, E(64)^2+E(64)^-2, -1*E(64)^10-E(64)^-10, -1*E(64)^2-E(64)^-2, -1*E(64)-E(64)^-1, -1*E(64)^3-E(64)^-3, E(64)^13+E(64)^-13, E(64)^5+E(64)^-5, -1*E(64)^7-E(64)^-7, E(64)^15+E(64)^-15, -1*E(64)^13-E(64)^-13, E(64)^7+E(64)^-7, -1*E(64)^15-E(64)^-15, E(64)^11+E(64)^-11, -1*E(64)^11-E(64)^-11, E(64)^9+E(64)^-9, -1*E(64)^5-E(64)^-5, -1*E(64)^9-E(64)^-9, E(64)^3+E(64)^-3, E(64)+E(64)^-1], [2, -2, 0, 0, 0, E(64)^8+E(64)^-8, -1*E(64)^8-E(64)^-8, E(64)^4+E(64)^-4, -1*E(64)^4-E(64)^-4, E(64)^12+E(64)^-12, -1*E(64)^12-E(64)^-12, -1*E(64)^14-E(64)^-14, E(64)^6+E(64)^-6, E(64)^10+E(64)^-10, -1*E(64)^6-E(64)^-6, E(64)^14+E(64)^-14, E(64)^2+E(64)^-2, -1*E(64)^10-E(64)^-10, -1*E(64)^2-E(64)^-2, E(64)+E(64)^-1, E(64)^3+E(64)^-3, -1*E(64)^13-E(64)^-13, -1*E(64)^5-E(64)^-5, E(64)^7+E(64)^-7, -1*E(64)^15-E(64)^-15, E(64)^13+E(64)^-13, -1*E(64)^7-E(64)^-7, E(64)^15+E(64)^-15, -1*E(64)^11-E(64)^-11, E(64)^11+E(64)^-11, -1*E(64)^9-E(64)^-9, E(64)^5+E(64)^-5, E(64)^9+E(64)^-9, -1*E(64)^3-E(64)^-3, -1*E(64)-E(64)^-1], [2, -2, 0, 0, 0, E(64)^8+E(64)^-8, -1*E(64)^8-E(64)^-8, E(64)^4+E(64)^-4, -1*E(64)^4-E(64)^-4, E(64)^12+E(64)^-12, -1*E(64)^12-E(64)^-12, E(64)^14+E(64)^-14, -1*E(64)^6-E(64)^-6, -1*E(64)^10-E(64)^-10, E(64)^6+E(64)^-6, -1*E(64)^14-E(64)^-14, -1*E(64)^2-E(64)^-2, E(64)^10+E(64)^-10, E(64)^2+E(64)^-2, -1*E(64)^15-E(64)^-15, E(64)^13+E(64)^-13, E(64)^3+E(64)^-3, E(64)^11+E(64)^-11, E(64)^9+E(64)^-9, -1*E(64)-E(64)^-1, -1*E(64)^3-E(64)^-3, -1*E(64)^9-E(64)^-9, E(64)+E(64)^-1, -1*E(64)^5-E(64)^-5, E(64)^5+E(64)^-5, E(64)^7+E(64)^-7, -1*E(64)^11-E(64)^-11, -1*E(64)^7-E(64)^-7, -1*E(64)^13-E(64)^-13, E(64)^15+E(64)^-15], [2, -2, 0, 0, 0, E(64)^8+E(64)^-8, -1*E(64)^8-E(64)^-8, E(64)^4+E(64)^-4, -1*E(64)^4-E(64)^-4, E(64)^12+E(64)^-12, -1*E(64)^12-E(64)^-12, E(64)^14+E(64)^-14, -1*E(64)^6-E(64)^-6, -1*E(64)^10-E(64)^-10, E(64)^6+E(64)^-6, -1*E(64)^14-E(64)^-14, -1*E(64)^2-E(64)^-2, E(64)^10+E(64)^-10, E(64)^2+E(64)^-2, E(64)^15+E(64)^-15, -1*E(64)^13-E(64)^-13, -1*E(64)^3-E(64)^-3, -1*E(64)^11-E(64)^-11, -1*E(64)^9-E(64)^-9, E(64)+E(64)^-1, E(64)^3+E(64)^-3, E(64)^9+E(64)^-9, -1*E(64)-E(64)^-1, E(64)^5+E(64)^-5, -1*E(64)^5-E(64)^-5, -1*E(64)^7-E(64)^-7, E(64)^11+E(64)^-11, E(64)^7+E(64)^-7, E(64)^13+E(64)^-13, -1*E(64)^15-E(64)^-15]]; ConvertToLibraryCharacterTableNC(chartbl_128_161);