# Group 1760.292 downloaded from the LMFDB on 19 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(25863261335148596411015522276222911495916963753616084670630003009,1760); a := GPC.1; b := GPC.2; c := GPC.5; GPerm := Group( (2,3)(4,5)(6,7)(8,10)(9,11)(12,13)(14,15), (13,14)(16,17)(18,19), (12,14)(13,15)(16,18,17,19), (2,4,6,8,9)(3,5,7,10,11), (16,17)(18,19), (12,15)(13,14), (1,2,5,8,6,9,11,7,10,4,3) ); GLZN := Group([[[ZmodnZObj(1,88), ZmodnZObj(8,88)], [ZmodnZObj(0,88), ZmodnZObj(1,88)]],[[ZmodnZObj(45,88), ZmodnZObj(0,88)], [ZmodnZObj(0,88), ZmodnZObj(45,88)]],[[ZmodnZObj(65,88), ZmodnZObj(44,88)], [ZmodnZObj(44,88), ZmodnZObj(45,88)]],[[ZmodnZObj(25,88), ZmodnZObj(0,88)], [ZmodnZObj(0,88), ZmodnZObj(9,88)]],[[ZmodnZObj(43,88), ZmodnZObj(11,88)], [ZmodnZObj(44,88), ZmodnZObj(65,88)]],[[ZmodnZObj(23,88), ZmodnZObj(22,88)], [ZmodnZObj(44,88), ZmodnZObj(23,88)]],[[ZmodnZObj(1,88), ZmodnZObj(44,88)], [ZmodnZObj(0,88), ZmodnZObj(1,88)]]]); # Booleans booleans_1760_292 := 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_1760_292:=rec(); chartbl_1760_292.IsFinite:= true; chartbl_1760_292.UnderlyingCharacteristic:= 0; chartbl_1760_292.UnderlyingGroup:= GPC; chartbl_1760_292.Size:= 1760; chartbl_1760_292.InfoText:= "Character table for group 1760.292 downloaded from the LMFDB."; chartbl_1760_292.Identifier:= " C11:(D4*C20) "; chartbl_1760_292.NrConjugacyClasses:= 110; chartbl_1760_292.ConjugacyClasses:= [ of ..., f3*f4^2*f6*f7^5, f3*f4^2, f6*f7^5, f1*f5*f7^8, f1*f5*f6*f7^2, f1*f2*f4*f5*f7^2, f1*f2*f4*f5*f6*f7^6, f5*f7^8, f5*f6*f7^2, f1, f1*f3*f4^2*f6*f7^5, f2*f4*f5*f7^2, f2*f3*f4^3*f5*f6*f7^7, f2*f4*f5*f6*f7^6, f2*f3*f4^3*f5*f7, f2*f4, f2*f4*f6*f7^4, f1*f2*f4, f1*f2*f3*f4^3*f6*f7^5, f4^2*f7^7, f4^3*f7^5, f4^4*f7^6, f4*f7^3, f3*f6*f7^3, f3*f4^4*f6, f3*f4*f6*f7^7, f3*f4^3*f6*f7^6, f3, f3*f4^4, f3*f4, f3*f4^3, f4^2*f6*f7, f4^3*f6*f7^10, f4*f6*f7^8, f4^4*f6, f1*f4*f5, f1*f4^4*f5, f1*f3*f5, f1*f4^2*f5, f1*f2*f5, f1*f2*f4^2*f5, f1*f2*f3*f5, f1*f2*f4^4*f5, f1*f4*f5*f6, f1*f4^4*f5*f6, f1*f3*f5*f6, f1*f4^2*f5*f6, f1*f2*f5*f6, f1*f2*f4^2*f5*f6, f1*f2*f3*f5*f6, f1*f2*f4^4*f5*f6, f7^2, f2*f5, f2*f3*f4^4*f5*f6, f2*f3*f5*f6, f2*f4^4*f5, f2*f3*f4*f5*f6, f2*f4^3*f5, f2*f4^2*f5, f2*f3*f4^2*f5*f6, f2*f5*f6, f2*f3*f4^4*f5, f2*f3*f5, f2*f4^4*f5*f6, f2*f3*f4*f5, f2*f4^3*f5*f6, f2*f4^2*f5*f6, f2*f3*f4^2*f5, f2, f2*f4^2, f2*f3, f2*f4^4, f2*f6, f2*f4^2*f6, f2*f3*f6, f2*f4^4*f6, f4*f5, f4^4*f5*f6, f3*f5*f6, f4^2*f5, f4^2*f5*f6, f3*f5, f4^4*f5, f4*f5*f6, f1*f4, f1*f4^4*f6, f1*f3*f6, f1*f4^2, f1*f4^2*f6, f1*f3, f1*f4^4, f1*f4*f6, f1*f2, f1*f2*f4^2*f6, f1*f2*f3*f6, f1*f2*f4^4, f1*f2*f4^4*f6, f1*f2*f3, f1*f2*f4^2, f1*f2*f6, f3*f4^2*f7, f6, f3*f4^2*f6*f7^7, f1*f5, f1*f5*f6, f5, f5*f6, f1*f7, f1*f6]; chartbl_1760_292.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]; chartbl_1760_292.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 23, 24, 22, 21, 24, 23, 22, 21, 24, 23, 22, 21, 23, 24, 21, 22, 21, 22, 24, 23, 22, 21, 23, 24, 21, 22, 24, 23, 22, 21, 23, 24, 53, 25, 26, 27, 28, 28, 27, 26, 25, 25, 26, 27, 28, 28, 27, 26, 25, 29, 30, 31, 32, 29, 30, 31, 32, 33, 34, 35, 36, 36, 35, 34, 33, 26, 25, 28, 27, 27, 28, 25, 26, 25, 26, 27, 28, 28, 27, 26, 25, 53, 53, 53, 53, 53, 103, 103, 104, 104], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 7, 7, 7, 7, 6, 6, 6, 6, 8, 8, 8, 8, 53, 13, 14, 14, 13, 14, 13, 13, 14, 15, 16, 16, 15, 16, 15, 15, 16, 17, 17, 17, 17, 18, 18, 18, 18, 9, 10, 10, 9, 10, 9, 9, 10, 11, 12, 12, 11, 12, 11, 11, 12, 19, 20, 20, 19, 20, 19, 19, 20, 102, 103, 104, 105, 106, 107, 108, 109, 110], [1, 2, 3, 4, 5, 6, 7, 8, 10, 9, 12, 11, 14, 13, 16, 15, 17, 18, 20, 19, 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, 1, 61, 60, 59, 58, 57, 56, 55, 54, 69, 68, 67, 66, 65, 64, 63, 62, 70, 71, 72, 73, 74, 75, 76, 77, 85, 84, 83, 82, 81, 80, 79, 78, 93, 92, 91, 90, 89, 88, 87, 86, 101, 100, 99, 98, 97, 96, 95, 94, 3, 4, 2, 5, 6, 10, 9, 12, 11]]; chartbl_1760_292.SizesCentralizers:= [1760, 1760, 1760, 1760, 880, 880, 80, 80, 880, 880, 880, 880, 160, 160, 160, 160, 80, 80, 80, 80, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 176, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 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, 176, 176, 176, 88, 88, 88, 88, 88, 88]; chartbl_1760_292.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "4A1", "4A-1", "4B1", "4B-1", "4C1", "4C-1", "4D1", "4D-1", "4E", "4F", "4G1", "4G-1", "5A1", "5A-1", "5A2", "5A-2", "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", "11A", "20A1", "20A-1", "20A3", "20A-3", "20A7", "20A-7", "20A9", "20A-9", "20B1", "20B-1", "20B3", "20B-3", "20B7", "20B-7", "20B9", "20B-9", "20C1", "20C-1", "20C3", "20C-3", "20D1", "20D-1", "20D3", "20D-3", "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", "20G7", "20G-7", "20G9", "20G-9", "22A", "22B", "22C", "22D", "22E", "44A1", "44A-1", "44B1", "44B-1"]; chartbl_1760_292.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 11, 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, 22, 22, 22, 22, 22, 44, 44, 44, 44]; chartbl_1760_292.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, 1, 1, -1, -1, -1, 1, 1, -1], [1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 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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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 0, 0, 0, 0, 2*E(5), 2*E(5)^2, 2*E(5)^-2, 2*E(5)^-1, -2*E(5)^2, 2*E(5)^-1, 2*E(5)^2, -2*E(5)^-2, 2*E(5), -2*E(5), -2*E(5), -2*E(5)^2, -2*E(5)^-1, -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, 2, 2*E(5)^-1, -2*E(5)^-2, 2*E(5)^2, 2*E(5)^-1, 2*E(5), -2*E(5)^2, -2*E(5)^2, -2*E(5), -2*E(5), -2*E(5)^-1, 2*E(5)^-2, -2*E(5)^-2, -2*E(5)^-1, 2*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, -2, 2, -2, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(20)^5, 2*E(20)^5, -2*E(20)^5, 2*E(20)^5, 0, 0, 0, 0, -2*E(20)^2, 2*E(20)^4, -2*E(20)^6, 2*E(20)^8, -2*E(20)^4, -2*E(20)^8, -2*E(20)^4, 2*E(20)^6, 2*E(20)^2, 2*E(20)^2, -2*E(20)^2, 2*E(20)^4, -2*E(20)^8, 2*E(20)^8, -2*E(20)^6, 2*E(20)^6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2*E(20)^3, 2*E(20), 2*E(20)^9, 2*E(20)^3, -2*E(20)^7, -2*E(20)^9, 2*E(20)^9, 2*E(20)^7, -2*E(20)^7, -2*E(20)^3, 2*E(20), -2*E(20), 2*E(20)^3, 2*E(20)^7, -2*E(20), -2*E(20)^9, 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, -2, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(20)^5, -2*E(20)^5, 2*E(20)^5, -2*E(20)^5, 0, 0, 0, 0, 2*E(20)^8, -2*E(20)^6, 2*E(20)^4, -2*E(20)^2, 2*E(20)^6, 2*E(20)^2, 2*E(20)^6, -2*E(20)^4, -2*E(20)^8, -2*E(20)^8, 2*E(20)^8, -2*E(20)^6, 2*E(20)^2, -2*E(20)^2, 2*E(20)^4, -2*E(20)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2*E(20)^7, -2*E(20)^9, -2*E(20), -2*E(20)^7, 2*E(20)^3, 2*E(20), -2*E(20), -2*E(20)^3, 2*E(20)^3, 2*E(20)^7, -2*E(20)^9, 2*E(20)^9, -2*E(20)^7, -2*E(20)^3, 2*E(20)^9, 2*E(20), 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, -2, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(20)^5, 2*E(20)^5, -2*E(20)^5, 2*E(20)^5, 0, 0, 0, 0, 2*E(20)^8, -2*E(20)^6, 2*E(20)^4, -2*E(20)^2, 2*E(20)^6, 2*E(20)^2, 2*E(20)^6, -2*E(20)^4, -2*E(20)^8, -2*E(20)^8, 2*E(20)^8, -2*E(20)^6, 2*E(20)^2, -2*E(20)^2, 2*E(20)^4, -2*E(20)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2*E(20)^7, 2*E(20)^9, 2*E(20), 2*E(20)^7, -2*E(20)^3, -2*E(20), 2*E(20), 2*E(20)^3, -2*E(20)^3, -2*E(20)^7, 2*E(20)^9, -2*E(20)^9, 2*E(20)^7, 2*E(20)^3, -2*E(20)^9, -2*E(20), 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, -2, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(20)^5, -2*E(20)^5, 2*E(20)^5, -2*E(20)^5, 0, 0, 0, 0, -2*E(20)^2, 2*E(20)^4, -2*E(20)^6, 2*E(20)^8, -2*E(20)^4, -2*E(20)^8, -2*E(20)^4, 2*E(20)^6, 2*E(20)^2, 2*E(20)^2, -2*E(20)^2, 2*E(20)^4, -2*E(20)^8, 2*E(20)^8, -2*E(20)^6, 2*E(20)^6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2*E(20)^3, -2*E(20), -2*E(20)^9, -2*E(20)^3, 2*E(20)^7, 2*E(20)^9, -2*E(20)^9, -2*E(20)^7, 2*E(20)^7, 2*E(20)^3, -2*E(20), 2*E(20), -2*E(20)^3, -2*E(20)^7, 2*E(20), 2*E(20)^9, 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, -2, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(20)^5, 2*E(20)^5, -2*E(20)^5, 2*E(20)^5, 0, 0, 0, 0, -2*E(20)^6, -2*E(20)^2, 2*E(20)^8, 2*E(20)^4, 2*E(20)^2, -2*E(20)^4, 2*E(20)^2, -2*E(20)^8, 2*E(20)^6, 2*E(20)^6, -2*E(20)^6, -2*E(20)^2, -2*E(20)^4, 2*E(20)^4, 2*E(20)^8, -2*E(20)^8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2*E(20)^9, -2*E(20)^3, -2*E(20)^7, -2*E(20)^9, 2*E(20), 2*E(20)^7, -2*E(20)^7, -2*E(20), 2*E(20), 2*E(20)^9, -2*E(20)^3, 2*E(20)^3, -2*E(20)^9, -2*E(20), 2*E(20)^3, 2*E(20)^7, 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, -2, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(20)^5, -2*E(20)^5, 2*E(20)^5, -2*E(20)^5, 0, 0, 0, 0, 2*E(20)^4, 2*E(20)^8, -2*E(20)^2, -2*E(20)^6, -2*E(20)^8, 2*E(20)^6, -2*E(20)^8, 2*E(20)^2, -2*E(20)^4, -2*E(20)^4, 2*E(20)^4, 2*E(20)^8, 2*E(20)^6, -2*E(20)^6, -2*E(20)^2, 2*E(20)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2*E(20), 2*E(20)^7, 2*E(20)^3, 2*E(20), -2*E(20)^9, -2*E(20)^3, 2*E(20)^3, 2*E(20)^9, -2*E(20)^9, -2*E(20), 2*E(20)^7, -2*E(20)^7, 2*E(20), 2*E(20)^9, -2*E(20)^7, -2*E(20)^3, 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, -2, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(20)^5, 2*E(20)^5, -2*E(20)^5, 2*E(20)^5, 0, 0, 0, 0, 2*E(20)^4, 2*E(20)^8, -2*E(20)^2, -2*E(20)^6, -2*E(20)^8, 2*E(20)^6, -2*E(20)^8, 2*E(20)^2, -2*E(20)^4, -2*E(20)^4, 2*E(20)^4, 2*E(20)^8, 2*E(20)^6, -2*E(20)^6, -2*E(20)^2, 2*E(20)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2*E(20), -2*E(20)^7, -2*E(20)^3, -2*E(20), 2*E(20)^9, 2*E(20)^3, -2*E(20)^3, -2*E(20)^9, 2*E(20)^9, 2*E(20), -2*E(20)^7, 2*E(20)^7, -2*E(20), -2*E(20)^9, 2*E(20)^7, 2*E(20)^3, 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, -2, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(20)^5, -2*E(20)^5, 2*E(20)^5, -2*E(20)^5, 0, 0, 0, 0, -2*E(20)^6, -2*E(20)^2, 2*E(20)^8, 2*E(20)^4, 2*E(20)^2, -2*E(20)^4, 2*E(20)^2, -2*E(20)^8, 2*E(20)^6, 2*E(20)^6, -2*E(20)^6, -2*E(20)^2, -2*E(20)^4, 2*E(20)^4, 2*E(20)^8, -2*E(20)^8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2*E(20)^9, 2*E(20)^3, 2*E(20)^7, 2*E(20)^9, -2*E(20), -2*E(20)^7, 2*E(20)^7, 2*E(20), -2*E(20), -2*E(20)^9, 2*E(20)^3, -2*E(20)^3, 2*E(20)^9, 2*E(20), -2*E(20)^3, -2*E(20)^7, 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, -2, 0, 0, 0, 0, 0, 0], [10, 10, 10, 10, 10, 10, 0, 0, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1], [10, 10, 10, 10, -10, -10, 0, 0, -10, 10, -10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, -1, -1, -1, 1, 1, -1, 1, 1, -1], [10, 10, 10, 10, -10, -10, 0, 0, 10, -10, 10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, -1, -1, -1, 1, 1, 1, -1, -1, 1], [10, 10, 10, 10, 10, 10, 0, 0, -10, -10, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, -1, -1, -1, -1, -1, 1, 1, 1, 1], [10, -10, -10, 10, -10, 10, 0, 0, -10*E(4), 10*E(4), 10*E(4), -10*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 1, 1, -1, 1, -1, -1*E(4), -1*E(4), E(4), E(4)], [10, -10, -10, 10, -10, 10, 0, 0, 10*E(4), -10*E(4), -10*E(4), 10*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 1, 1, -1, 1, -1, E(4), E(4), -1*E(4), -1*E(4)], [10, -10, -10, 10, 10, -10, 0, 0, -10*E(4), -10*E(4), 10*E(4), 10*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 1, 1, -1, -1, 1, E(4), -1*E(4), E(4), -1*E(4)], [10, -10, -10, 10, 10, -10, 0, 0, 10*E(4), 10*E(4), -10*E(4), -10*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 1, 1, -1, -1, 1, -1*E(4), E(4), -1*E(4), E(4)], [20, -20, 20, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, 2, 0, 0, 0, 0, 0, 0], [20, 20, -20, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_1760_292);