# Group 2400.cn downloaded from the LMFDB on 16 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(110212537479598569130139871106322865887841663448842979810446470775524822954243,2400); a := GPC.1; b := GPC.3; c := GPC.5; d := GPC.6; GPerm := Group( (17,18,23,21,25)(19,22,20,24,26), (1,2)(3,5)(4,7)(6,8)(9,14)(10,12)(11,16)(13,15)(17,19,23,20,25,26,18,22,21,24), (1,3)(2,5)(4,12)(6,8)(7,10)(9,14)(11,15)(13,16)(17,20,18,24,23,26,21,19,25,22), (1,4,12,6,7,10,5,13,16,14,15,11)(2,8,3,9)(17,20)(18,24)(19,21)(22,25)(23,26), (1,5)(2,3)(4,13)(6,14)(7,15)(8,9)(10,11)(12,16)(17,18,23,21,25)(19,22,20,24,26), (17,21,18,25,23)(19,22,20,24,26), (1,6,5,14)(2,9,3,8)(4,7,13,15)(10,16,11,12)(17,22,21,26,18,20,25,19,23,24), (1,7,5,15)(2,10,3,11)(4,6,13,14)(8,12,9,16)(19,24,22,26,20) ); GLFp := Group([[[ Z(11)^4, Z(11)^5, Z(11)^5, Z(11)^6 ], [ Z(11)^9, Z(11)^6, Z(11)^4, Z(11)^5 ], [ Z(11)^2, Z(11)^4, Z(11)^7, Z(11)^0 ], [ Z(11)^3, Z(11)^2, Z(11)^4, 0*Z(11) ]], [[ 0*Z(11), Z(11)^3, Z(11)^7, Z(11)^0 ], [ Z(11)^6, Z(11)^4, 0*Z(11), Z(11)^5 ], [ Z(11)^9, Z(11)^7, 0*Z(11), Z(11)^9 ], [ 0*Z(11), Z(11)^3, Z(11)^6, Z(11)^9 ]], [[ Z(11), Z(11)^9, Z(11), Z(11) ], [ Z(11)^3, 0*Z(11), Z(11), Z(11) ], [ Z(11)^5, Z(11)^9, 0*Z(11), Z(11)^4 ], [ Z(11)^2, Z(11)^5, Z(11)^8, Z(11)^6 ]], [[ Z(11)^9, Z(11)^4, Z(11)^9, 0*Z(11) ], [ Z(11)^9, Z(11)^4, 0*Z(11), Z(11)^4 ], [ Z(11)^0, 0*Z(11), Z(11)^4, Z(11)^4 ], [ 0*Z(11), Z(11)^5, Z(11)^9, Z(11)^9 ]], [[ Z(11)^8, 0*Z(11), 0*Z(11), 0*Z(11) ], [ 0*Z(11), Z(11)^8, 0*Z(11), 0*Z(11) ], [ 0*Z(11), 0*Z(11), Z(11)^8, 0*Z(11) ], [ 0*Z(11), 0*Z(11), 0*Z(11), Z(11)^8 ]], [[ Z(11)^3, 0*Z(11), 0*Z(11), 0*Z(11) ], [ 0*Z(11), Z(11)^3, 0*Z(11), 0*Z(11) ], [ 0*Z(11), 0*Z(11), Z(11)^3, 0*Z(11) ], [ 0*Z(11), 0*Z(11), 0*Z(11), Z(11)^3 ]], [[ Z(11), Z(11)^0, Z(11)^2, 0*Z(11) ], [ Z(11)^0, Z(11)^8, Z(11)^7, Z(11)^3 ], [ Z(11)^5, Z(11)^5, Z(11)^0, Z(11)^8 ], [ Z(11)^4, Z(11)^7, Z(11)^9, Z(11)^4 ]], [[ Z(11)^2, Z(11)^7, Z(11)^8, Z(11) ], [ Z(11)^7, Z(11)^4, Z(11)^2, Z(11)^8 ], [ Z(11), Z(11)^7, Z(11)^9, Z(11)^2 ], [ Z(11), Z(11), Z(11)^2, Z(11)^7 ]]]); # Booleans booleans_2400_cn := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := false, metacyclic := false, monomial := false, nilpotent := false, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := false); # Character Table chartbl_2400_cn:=rec(); chartbl_2400_cn.IsFinite:= true; chartbl_2400_cn.UnderlyingCharacteristic:= 0; chartbl_2400_cn.UnderlyingGroup:= GPC; chartbl_2400_cn.Size:= 2400; chartbl_2400_cn.InfoText:= "Character table for group 2400.cn downloaded from the LMFDB."; chartbl_2400_cn.Identifier:= " C5*GL(2,3):D5 "; chartbl_2400_cn.NrConjugacyClasses:= 145; chartbl_2400_cn.ConjugacyClasses:= [ of ..., f7*f8^2, f1*f2^2*f3*f6, f3*f4*f6, f1*f2^2*f5*f7*f8^2, f4*f7*f8^2, f5*f6*f7*f8^3, f3*f4, f2, f2^4, f2^2, f2^3, f8^2, f8^4, f2*f8^2, f2^4*f8^3, f2^2*f8^4, f2^3*f8, f2*f8, f2^4*f8^4, f2^2*f8^2, f2^3*f8^3, f4^2*f7*f8^2, f1*f2^2*f3*f7*f8, f1*f2^2*f4^2*f5*f6*f7*f8, f2^2*f7*f8^2, f2^3*f7*f8^2, f2*f7*f8^2, f2^4*f7*f8^2, f7, f7*f8, f2^3*f7, f2^2*f7*f8^4, f2^4*f7*f8, f2*f7*f8^3, f2^3*f7*f8^3, f2^2*f7*f8, f2^4*f7, f2*f7*f8^4, f1*f3*f6, f1*f2^4*f3*f6, f1*f2*f3*f6, f1*f2^3*f3*f6, f1*f2^2*f3*f5, f1*f2^2*f3*f6*f7, f1*f3*f5, f1*f2^4*f3*f5, f1*f2*f3*f6*f7, f1*f2^3*f3*f6*f7, f1*f3*f6*f7, f1*f2^4*f3*f6*f7, f1*f2*f3*f5, f1*f2^3*f3*f5, f2*f3*f4*f6, f2^4*f3*f4*f6, f2^3*f3*f4*f6, f2^2*f3*f4*f6, f1*f5*f7*f8^2, f1*f2^4*f5*f7*f8^2, f1*f2*f5*f7*f8^2, f1*f2^3*f5*f7*f8^2, f3*f4^2, f3, f2^4*f4^2, f2*f4*f7*f8^2, f2^3*f4*f7*f8^2, f2^2*f4^2, f4^2*f8^2, f4*f7*f8, f2^2*f4^2*f8^2, f2^3*f4*f7, f2^4*f4*f7*f8, f2*f4^2*f8, f2^2*f4^2*f8^4, f2^3*f4*f7*f8^3, f2^4*f4*f7, f2*f4^2*f8^2, f2*f5*f6*f7*f8^3, f2^4*f5*f6*f8, f2^3*f5*f6*f8, f2^2*f5*f6*f7*f8^3, f2^3*f3*f4, f2^2*f3*f4*f7*f8^2, f2^4*f3*f4*f7*f8^2, f2*f3*f4, f5*f6*f7, f5*f6*f8^2, f2*f5*f6*f7, f2^4*f5*f6*f8^4, f2^3*f5*f6*f8^2, f2^2*f5*f6*f7*f8^2, f2*f5*f6*f7*f8^2, f2^4*f5*f6*f8^2, f2^3*f5*f6*f8^3, f2^2*f5*f6*f7*f8, f2^2*f4, f2^3*f4^2*f7*f8^2, f2^4*f4, f2*f4^2*f7*f8^2, f4*f8, f4*f8^2, f2*f4*f8, f2^4*f4*f8, f2^2*f4*f8^2, f2^3*f4*f8^2, f2*f4*f8^2, f2^4*f4*f8^2, f2^2*f4*f8, f2^3*f4*f8, f1*f2^2*f3, f1*f2^2*f3*f8^2, f1*f2^2*f3*f4^2, f1*f2^2*f3*f8, f1*f3*f8^4, f1*f2^4*f3*f8^4, f1*f2*f3*f8^4, f1*f2^3*f3*f8^4, f1*f3, f1*f2^4*f3, f1*f2*f3*f8^2, f1*f2^3*f3*f8^2, f1*f2^4*f3*f4^2, f1*f3*f4^2, f1*f2*f3*f8, f1*f2^3*f3*f8, f1*f3*f8, f1*f2^4*f3*f8, f1*f2*f3, f1*f2^3*f3, f1*f2^4*f3*f8^2, f1*f3*f8^2, f1*f2*f3*f4^2, f1*f2^3*f3*f4^2, f1*f2*f4^2*f5*f6*f8^4, f1*f2^3*f4^2*f8^3, f1*f2^4*f4^2*f7, f1*f4^2*f5*f6*f7*f8, f2*f3, f2^4*f3, f2^2*f3*f7, f2^3*f3*f7, f2^3*f3, f2^2*f3, f2^4*f3*f7, f2*f3*f7]; chartbl_2400_cn.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]; chartbl_2400_cn.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 6, 2, 2, 11, 12, 10, 9, 14, 13, 17, 18, 16, 15, 21, 22, 20, 19, 6, 7, 7, 10, 9, 11, 12, 14, 13, 19, 20, 22, 21, 15, 16, 18, 17, 9, 10, 12, 11, 13, 14, 15, 16, 18, 17, 19, 20, 22, 21, 11, 12, 9, 10, 9, 10, 12, 11, 23, 23, 66, 67, 65, 64, 69, 68, 72, 73, 71, 70, 76, 77, 75, 74, 26, 27, 28, 29, 28, 29, 27, 26, 31, 30, 37, 36, 39, 38, 33, 32, 35, 34, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 86, 87, 86, 87, 78, 79, 80, 81, 88, 89, 90, 91, 89, 88, 90, 91, 92, 93, 94, 95, 93, 92, 94, 95, 80, 81, 79, 78, 96, 97, 98, 99, 99, 98, 97, 96], [1, 2, 3, 4, 5, 1, 7, 8, 12, 11, 9, 10, 14, 13, 18, 17, 15, 16, 22, 21, 19, 20, 2, 24, 25, 28, 29, 27, 26, 31, 30, 34, 35, 33, 32, 38, 39, 37, 36, 42, 43, 41, 40, 45, 44, 48, 49, 47, 46, 52, 53, 51, 50, 56, 57, 55, 54, 60, 61, 59, 58, 8, 8, 11, 12, 10, 9, 14, 13, 19, 20, 21, 22, 15, 16, 17, 18, 80, 81, 79, 78, 84, 85, 83, 82, 87, 86, 90, 91, 89, 88, 94, 95, 93, 92, 28, 29, 26, 27, 30, 31, 32, 33, 35, 34, 36, 37, 39, 38, 111, 112, 113, 110, 116, 117, 115, 114, 120, 121, 122, 123, 125, 124, 119, 118, 128, 129, 130, 131, 133, 132, 127, 126, 136, 137, 135, 134, 82, 83, 85, 84, 84, 85, 83, 82], [1, 2, 3, 4, 5, 6, 7, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 23, 24, 25, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 63, 62, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 62, 62, 63, 63, 62, 62, 63, 63]]; chartbl_2400_cn.SizesCentralizers:= [2400, 2400, 200, 80, 40, 300, 400, 240, 2400, 2400, 2400, 2400, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 300, 200, 40, 2400, 2400, 2400, 2400, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 200, 200, 200, 200, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 80, 80, 80, 80, 40, 40, 40, 40, 60, 60, 300, 300, 300, 300, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 400, 400, 400, 400, 240, 240, 240, 240, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 300, 300, 300, 300, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 40, 40, 40, 40, 60, 60, 60, 60, 60, 60, 60, 60]; chartbl_2400_cn.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "3A", "4A", "4B", "5A1", "5A-1", "5A2", "5A-2", "5B1", "5B2", "5C1", "5C-1", "5C2", "5C-2", "5D1", "5D-1", "5D2", "5D-2", "6A", "8A", "8B", "10A1", "10A-1", "10A3", "10A-3", "10B1", "10B3", "10C1", "10C-1", "10C3", "10C-3", "10D1", "10D-1", "10D3", "10D-3", "10E1", "10E-1", "10E3", "10E-3", "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", "12A1", "12A5", "15A1", "15A-1", "15A2", "15A-2", "15B1", "15B2", "15C1", "15C-1", "15C2", "15C-2", "15D1", "15D-1", "15D2", "15D-2", "20A1", "20A-1", "20A3", "20A-3", "20B1", "20B-1", "20B3", "20B-3", "20C1", "20C3", "20D1", "20D-1", "20D3", "20D-3", "20E1", "20E-1", "20E3", "20E-3", "30A1", "30A-1", "30A7", "30A-7", "30B1", "30B7", "30C1", "30C-1", "30C7", "30C-7", "30D1", "30D-1", "30D7", "30D-7", "40A1", "40A3", "40A9", "40A13", "40B1", "40B-1", "40B3", "40B-3", "40C1", "40C-1", "40C3", "40C-3", "40C9", "40C-9", "40C13", "40C-13", "40D1", "40D-1", "40D3", "40D-3", "40D9", "40D-9", "40D13", "40D-13", "40E1", "40E-1", "40E3", "40E-3", "60A1", "60A-1", "60A7", "60A-7", "60A13", "60A-13", "60A19", "60A-19"]; chartbl_2400_cn.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 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, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 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, 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, 60, 60, 60, 60, 60, 60, 60, 60]; chartbl_2400_cn.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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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(5)^-2, E(5)^2, E(5)^-1, E(5), E(5)^2, E(5), 1, E(5)^-1, E(5)^2, 1, E(5)^-2, E(5), E(5)^-1, E(5)^-2, 1, 1, 1, E(5)^-1, E(5)^2, E(5), E(5)^-2, E(5)^2, 1, E(5)^-2, 1, E(5), E(5), E(5)^-1, E(5)^2, E(5)^-1, E(5)^-2, E(5)^2, E(5)^-1, E(5)^-2, E(5), E(5)^-2, E(5)^-2, E(5)^-1, 1, E(5)^2, E(5)^-1, E(5)^2, 1, E(5), E(5), E(5)^-1, E(5), E(5)^2, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, -1*E(12)-E(12)^-1], [4, 4, 0, 0, 0, -2, 4, 0, 4*E(5)^-2, 4*E(5)^2, 4*E(5)^-1, 4*E(5), 2*E(5)+2*E(5)^-2, -2-2*E(5)-2*E(5)^2, 2*E(5)+2*E(5)^-1, 2+2*E(5)^-2, 2+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2+2*E(5), 2+2*E(5)^2, 2*E(5)+2*E(5)^2, -2-2*E(5)-2*E(5)^-2, -2, 0, 0, 4*E(5)^-1, 4*E(5)^2, 4*E(5), 4*E(5)^-2, 2*E(5)+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2+2*E(5), 2*E(5)+2*E(5)^-1, 2+2*E(5)^2, -2-2*E(5)-2*E(5)^2, 2+2*E(5)^-2, 2+2*E(5)^-1, 2*E(5)+2*E(5)^2, -2-2*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, -2*E(5), -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-2, -1-E(5)^2, -1*E(5)-E(5)^-1, 1+E(5)+E(5)^2, -1-E(5), 1+E(5)+E(5)^-2, -1-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-2, -1-E(5)^-1, -1*E(5)-E(5)^2, 4*E(5)^-1, 4*E(5), 4*E(5)^2, 4*E(5)^-2, 0, 0, 0, 0, 2+2*E(5)^-2, 2+2*E(5)^-1, 2*E(5)+2*E(5)^2, -2-2*E(5)-2*E(5)^2, 2*E(5)+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2+2*E(5), 2*E(5)^2+2*E(5)^-2, 2+2*E(5)^2, -2-2*E(5)-2*E(5)^-2, -2*E(5)^-2, -2*E(5)^2, -2*E(5), -2*E(5)^-1, -1*E(5)-E(5)^-2, -1*E(5)-E(5)^-1, -1-E(5)^-2, -1-E(5)^2, 1+E(5)+E(5)^-2, 1+E(5)+E(5)^2, -1-E(5)^-1, -1-E(5), -1*E(5)-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], [4, 4, 0, 0, 0, -2, 4, 0, 4*E(5)^2, 4*E(5)^-2, 4*E(5), 4*E(5)^-1, -2-2*E(5)-2*E(5)^-2, 2*E(5)+2*E(5)^2, 2*E(5)+2*E(5)^-1, 2+2*E(5)^2, 2+2*E(5), 2*E(5)^2+2*E(5)^-2, 2+2*E(5)^-1, 2+2*E(5)^-2, -2-2*E(5)-2*E(5)^2, 2*E(5)+2*E(5)^-2, -2, 0, 0, 4*E(5), 4*E(5)^-2, 4*E(5)^-1, 4*E(5)^2, -2-2*E(5)-2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2+2*E(5)^-2, 2*E(5)+2*E(5)^2, 2+2*E(5)^2, 2+2*E(5), -2-2*E(5)-2*E(5)^2, 2*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, -2*E(5)^-1, -2*E(5), -2*E(5)^-2, -2*E(5)^2, -1-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^2, -1-E(5)^-1, -1*E(5)-E(5)^-2, -1-E(5)^2, -1*E(5)^2-E(5)^-2, 1+E(5)+E(5)^-2, -1-E(5), 1+E(5)+E(5)^2, 4*E(5), 4*E(5)^-1, 4*E(5)^-2, 4*E(5)^2, 0, 0, 0, 0, 2+2*E(5)^2, 2+2*E(5), -2-2*E(5)-2*E(5)^2, 2*E(5)+2*E(5)^2, -2-2*E(5)-2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2+2*E(5)^-2, 2*E(5)+2*E(5)^-2, -2*E(5)^2, -2*E(5)^-2, -2*E(5)^-1, -2*E(5), 1+E(5)+E(5)^-2, -1*E(5)-E(5)^-1, -1-E(5)^2, -1-E(5)^-2, -1*E(5)-E(5)^-2, -1*E(5)-E(5)^2, -1-E(5), -1-E(5)^-1, 1+E(5)+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], [4, 4, 0, 0, 0, -2, 4, 0, 4*E(5)^-1, 4*E(5), 4*E(5)^2, 4*E(5)^-2, -2-2*E(5)-2*E(5)^2, -2-2*E(5)-2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2+2*E(5)^-1, 2+2*E(5)^2, 2*E(5)+2*E(5)^-1, 2+2*E(5)^-2, 2+2*E(5), 2*E(5)+2*E(5)^-2, 2*E(5)+2*E(5)^2, -2, 0, 0, 4*E(5)^2, 4*E(5), 4*E(5)^-2, 4*E(5)^-1, -2-2*E(5)-2*E(5)^2, 2*E(5)+2*E(5)^-1, 2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2+2*E(5), -2-2*E(5)-2*E(5)^-2, 2+2*E(5)^-1, 2+2*E(5)^2, 2*E(5)+2*E(5)^-2, 2*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, -2*E(5)^-2, -2*E(5)^2, -2*E(5), -2*E(5)^-1, -1-E(5), -1*E(5)^2-E(5)^-2, 1+E(5)+E(5)^-2, -1-E(5)^-2, -1*E(5)-E(5)^2, -1-E(5)^-1, -1*E(5)-E(5)^-1, 1+E(5)+E(5)^2, -1-E(5)^2, -1*E(5)-E(5)^-2, 4*E(5)^2, 4*E(5)^-2, 4*E(5), 4*E(5)^-1, 0, 0, 0, 0, 2+2*E(5)^-1, 2+2*E(5)^2, 2*E(5)+2*E(5)^-2, -2-2*E(5)-2*E(5)^-2, -2-2*E(5)-2*E(5)^2, 2*E(5)^2+2*E(5)^-2, 2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2+2*E(5), 2*E(5)+2*E(5)^2, -2*E(5)^-1, -2*E(5), -2*E(5)^-2, -2*E(5)^2, 1+E(5)+E(5)^2, -1*E(5)^2-E(5)^-2, -1-E(5)^-1, -1-E(5), -1*E(5)-E(5)^2, 1+E(5)+E(5)^-2, -1-E(5)^2, -1-E(5)^-2, -1*E(5)-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], [4, 4, 0, 0, 0, -2, 4, 0, 4*E(5), 4*E(5)^-1, 4*E(5)^-2, 4*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+2*E(5), 2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2+2*E(5)^2, 2+2*E(5)^-1, -2-2*E(5)-2*E(5)^-2, -2-2*E(5)-2*E(5)^2, -2, 0, 0, 4*E(5)^-2, 4*E(5)^-1, 4*E(5)^2, 4*E(5), 2*E(5)+2*E(5)^2, 2*E(5)+2*E(5)^-1, 2+2*E(5)^2, 2*E(5)^2+2*E(5)^-2, 2+2*E(5)^-1, 2*E(5)+2*E(5)^-2, 2+2*E(5), 2+2*E(5)^-2, -2-2*E(5)-2*E(5)^-2, -2-2*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, -2*E(5)^2, -2*E(5)^-2, -2*E(5)^-1, -2*E(5), -1-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-2, -1-E(5)^2, 1+E(5)+E(5)^2, -1-E(5), -1*E(5)-E(5)^-1, -1*E(5)-E(5)^2, -1-E(5)^-2, 1+E(5)+E(5)^-2, 4*E(5)^-2, 4*E(5)^2, 4*E(5)^-1, 4*E(5), 0, 0, 0, 0, 2+2*E(5), 2+2*E(5)^-2, -2-2*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+2*E(5)^2, 2*E(5)+2*E(5)^-1, 2+2*E(5)^-1, -2-2*E(5)-2*E(5)^2, -2*E(5), -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-2, -1*E(5)-E(5)^2, -1*E(5)^2-E(5)^-2, -1-E(5), -1-E(5)^-1, 1+E(5)+E(5)^2, -1*E(5)-E(5)^-2, -1-E(5)^-2, -1-E(5)^2, 1+E(5)+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], [4, 4, 0, 0, 0, -2, 4, 0, 4*E(5)^-2, 4*E(5)^2, 4*E(5)^-1, 4*E(5), 2+2*E(5)^-1, 2+2*E(5)^2, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^2, 2*E(5)+2*E(5)^-2, 2*E(5)+2*E(5)^-1, -2-2*E(5)-2*E(5)^-2, -2-2*E(5)-2*E(5)^2, 2+2*E(5)^-2, 2+2*E(5), -2, 0, 0, 4*E(5)^-1, 4*E(5)^2, 4*E(5), 4*E(5)^-2, 2+2*E(5)^-1, 2*E(5)+2*E(5)^-1, -2-2*E(5)-2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, -2-2*E(5)-2*E(5)^2, 2+2*E(5)^2, 2*E(5)+2*E(5)^2, 2*E(5)+2*E(5)^-2, 2+2*E(5)^-2, 2+2*E(5), 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(5), -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-2, 1+E(5)+E(5)^2, -1*E(5)^2-E(5)^-2, -1-E(5)^2, 1+E(5)+E(5)^-2, -1-E(5), -1*E(5)-E(5)^2, -1*E(5)-E(5)^-1, -1-E(5)^-1, -1*E(5)-E(5)^-2, -1-E(5)^-2, 4*E(5)^-1, 4*E(5), 4*E(5)^2, 4*E(5)^-2, 0, 0, 0, 0, 2*E(5)+2*E(5)^2, 2*E(5)+2*E(5)^-2, 2+2*E(5)^-2, 2+2*E(5)^2, 2+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, -2-2*E(5)-2*E(5)^-2, 2*E(5)+2*E(5)^-1, -2-2*E(5)-2*E(5)^2, 2+2*E(5), -2*E(5)^-2, -2*E(5)^2, -2*E(5), -2*E(5)^-1, -1-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^2, 1+E(5)+E(5)^2, -1-E(5), -1-E(5)^2, -1*E(5)-E(5)^-2, 1+E(5)+E(5)^-2, -1-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], [4, 4, 0, 0, 0, -2, 4, 0, 4*E(5)^2, 4*E(5)^-2, 4*E(5), 4*E(5)^-1, 2+2*E(5), 2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, -2-2*E(5)-2*E(5)^2, -2-2*E(5)-2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-2, 2*E(5)+2*E(5)^2, 2+2*E(5)^2, 2+2*E(5)^-1, -2, 0, 0, 4*E(5), 4*E(5)^-2, 4*E(5)^-1, 4*E(5)^2, 2+2*E(5), 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^2, 2+2*E(5)^-2, -2-2*E(5)-2*E(5)^2, -2-2*E(5)-2*E(5)^-2, 2+2*E(5)^2, 2+2*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, -2*E(5)^-1, -2*E(5), -2*E(5)^-2, -2*E(5)^2, -1*E(5)-E(5)^2, -1*E(5)^2-E(5)^-2, -1-E(5)^-2, -1*E(5)-E(5)^-2, -1-E(5)^-1, 1+E(5)+E(5)^2, -1*E(5)-E(5)^-1, -1-E(5), 1+E(5)+E(5)^-2, -1-E(5)^2, 4*E(5), 4*E(5)^-1, 4*E(5)^-2, 4*E(5)^2, 0, 0, 0, 0, -2-2*E(5)-2*E(5)^2, -2-2*E(5)-2*E(5)^-2, 2+2*E(5)^2, 2+2*E(5)^-2, 2+2*E(5), 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^2, 2+2*E(5)^-1, -2*E(5)^2, -2*E(5)^-2, -2*E(5)^-1, -2*E(5), -1-E(5), -1*E(5)^2-E(5)^-2, 1+E(5)+E(5)^2, -1*E(5)-E(5)^2, -1-E(5)^-1, -1-E(5)^-2, 1+E(5)+E(5)^-2, -1*E(5)-E(5)^-2, -1-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], [4, 4, 0, 0, 0, -2, 4, 0, 4*E(5)^-1, 4*E(5), 4*E(5)^2, 4*E(5)^-2, 2+2*E(5)^2, 2+2*E(5), 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-2, -2-2*E(5)-2*E(5)^2, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^2, -2-2*E(5)-2*E(5)^-2, 2+2*E(5)^-1, 2+2*E(5)^-2, -2, 0, 0, 4*E(5)^2, 4*E(5), 4*E(5)^-2, 4*E(5)^-1, 2+2*E(5)^2, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^2, 2*E(5)+2*E(5)^-1, -2-2*E(5)-2*E(5)^-2, 2+2*E(5), 2*E(5)+2*E(5)^-2, -2-2*E(5)-2*E(5)^2, 2+2*E(5)^-1, 2+2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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-1*E(60)^5-E(60)^-5, E(60)^5+E(60)^-5, -1*E(60)^6, E(60)^24, E(60)^12, -1*E(60)^18, -1*E(60)^6, 1, -1*E(60)^6, -1*E(60)^18, -1*E(60)^18, E(60)^24, 1, E(60)^12, E(60)^12, E(60)^24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(60)^18, -1*E(60)^12, E(60)^6, -1*E(60)^24, -1*E(60)^12, -1, -1*E(60)^24, E(60)^6, E(60)^18, E(60)^6, -1*E(60)^12, E(60)^18, -1*E(60)^24, -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, E(60)+E(60)^3-2*E(60)^7-E(60)^9-E(60)^11+E(60)^15, 2*E(60)-2*E(60)^5-2*E(60)^7-E(60)^9+2*E(60)^13+2*E(60)^15, -2*E(60)+2*E(60)^5+2*E(60)^7+E(60)^9-2*E(60)^13-2*E(60)^15, -1*E(60)-E(60)^11, -1*E(60)^3+2*E(60)^13, E(60)^3-2*E(60)^13, E(60)+E(60)^11, -1*E(60)-E(60)^3+2*E(60)^7+E(60)^9+E(60)^11-E(60)^15], [4, -4, 0, 0, 0, 1, 0, 0, 4*E(60)^12, -4*E(60)^18, -4*E(60)^6, 4*E(60)^24, -4*E(60)^18, 4*E(60)^24, 4, -4*E(60)^6, -4*E(60)^18, 4, 4*E(60)^12, 4*E(60)^24, -4*E(60)^6, 4*E(60)^12, -1, 0, 0, 4*E(60)^6, 4*E(60)^18, -4*E(60)^24, -4*E(60)^12, 4*E(60)^18, -4, -4*E(60)^12, -4, -4*E(60)^24, -4*E(60)^24, 4*E(60)^6, 4*E(60)^18, 4*E(60)^6, -4*E(60)^12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(60)^5-E(60)^-5, E(60)^5+E(60)^-5, E(60)^24, -1*E(60)^6, -1*E(60)^18, E(60)^12, E(60)^24, 1, E(60)^24, E(60)^12, E(60)^12, -1*E(60)^6, 1, -1*E(60)^18, -1*E(60)^18, -1*E(60)^6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(60)^12, E(60)^18, -1*E(60)^24, E(60)^6, E(60)^18, -1, E(60)^6, -1*E(60)^24, -1*E(60)^12, -1*E(60)^24, E(60)^18, -1*E(60)^12, E(60)^6, -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, -1*E(60)^3+2*E(60)^13, -1*E(60)-E(60)^11, E(60)+E(60)^11, 2*E(60)-2*E(60)^5-2*E(60)^7-E(60)^9+2*E(60)^13+2*E(60)^15, E(60)+E(60)^3-2*E(60)^7-E(60)^9-E(60)^11+E(60)^15, -1*E(60)-E(60)^3+2*E(60)^7+E(60)^9+E(60)^11-E(60)^15, -2*E(60)+2*E(60)^5+2*E(60)^7+E(60)^9-2*E(60)^13-2*E(60)^15, E(60)^3-2*E(60)^13], [4, -4, 0, 0, 0, 1, 0, 0, -4*E(60)^18, 4*E(60)^12, 4*E(60)^24, -4*E(60)^6, 4*E(60)^12, -4*E(60)^6, 4, 4*E(60)^24, 4*E(60)^12, 4, -4*E(60)^18, -4*E(60)^6, 4*E(60)^24, -4*E(60)^18, -1, 0, 0, -4*E(60)^24, -4*E(60)^12, 4*E(60)^6, 4*E(60)^18, -4*E(60)^12, -4, 4*E(60)^18, -4, 4*E(60)^6, 4*E(60)^6, -4*E(60)^24, -4*E(60)^12, -4*E(60)^24, 4*E(60)^18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(60)^5+E(60)^-5, -1*E(60)^5-E(60)^-5, -1*E(60)^6, E(60)^24, E(60)^12, -1*E(60)^18, -1*E(60)^6, 1, -1*E(60)^6, -1*E(60)^18, -1*E(60)^18, E(60)^24, 1, E(60)^12, E(60)^12, E(60)^24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(60)^18, -1*E(60)^12, E(60)^6, -1*E(60)^24, -1*E(60)^12, -1, -1*E(60)^24, E(60)^6, E(60)^18, E(60)^6, -1*E(60)^12, E(60)^18, -1*E(60)^24, -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, -1*E(60)-E(60)^3+2*E(60)^7+E(60)^9+E(60)^11-E(60)^15, -2*E(60)+2*E(60)^5+2*E(60)^7+E(60)^9-2*E(60)^13-2*E(60)^15, 2*E(60)-2*E(60)^5-2*E(60)^7-E(60)^9+2*E(60)^13+2*E(60)^15, E(60)+E(60)^11, E(60)^3-2*E(60)^13, -1*E(60)^3+2*E(60)^13, -1*E(60)-E(60)^11, E(60)+E(60)^3-2*E(60)^7-E(60)^9-E(60)^11+E(60)^15], [4, -4, 0, 0, 0, 1, 0, 0, 4*E(60)^12, -4*E(60)^18, -4*E(60)^6, 4*E(60)^24, -4*E(60)^18, 4*E(60)^24, 4, -4*E(60)^6, -4*E(60)^18, 4, 4*E(60)^12, 4*E(60)^24, -4*E(60)^6, 4*E(60)^12, -1, 0, 0, 4*E(60)^6, 4*E(60)^18, -4*E(60)^24, -4*E(60)^12, 4*E(60)^18, -4, -4*E(60)^12, -4, -4*E(60)^24, -4*E(60)^24, 4*E(60)^6, 4*E(60)^18, 4*E(60)^6, -4*E(60)^12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(60)^5+E(60)^-5, -1*E(60)^5-E(60)^-5, E(60)^24, -1*E(60)^6, -1*E(60)^18, E(60)^12, E(60)^24, 1, E(60)^24, E(60)^12, E(60)^12, -1*E(60)^6, 1, -1*E(60)^18, -1*E(60)^18, -1*E(60)^6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(60)^12, E(60)^18, -1*E(60)^24, E(60)^6, E(60)^18, -1, E(60)^6, -1*E(60)^24, -1*E(60)^12, -1*E(60)^24, E(60)^18, -1*E(60)^12, E(60)^6, -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, E(60)^3-2*E(60)^13, E(60)+E(60)^11, -1*E(60)-E(60)^11, -2*E(60)+2*E(60)^5+2*E(60)^7+E(60)^9-2*E(60)^13-2*E(60)^15, -1*E(60)-E(60)^3+2*E(60)^7+E(60)^9+E(60)^11-E(60)^15, E(60)+E(60)^3-2*E(60)^7-E(60)^9-E(60)^11+E(60)^15, 2*E(60)-2*E(60)^5-2*E(60)^7-E(60)^9+2*E(60)^13+2*E(60)^15, -1*E(60)^3+2*E(60)^13], [4, -4, 0, 0, 0, -2, 0, 0, -4*E(40)^4, 4*E(40)^16, -4*E(40)^12, 4*E(40)^8, -2*E(40)^4+2*E(40)^8, -2*E(40)^4-2*E(40)^12, 2*E(40)^8+2*E(40)^-8, 2-2*E(40)^4, 2-2*E(40)^12, -2*E(40)^4-2*E(40)^-4, 2+2*E(40)^8, 2*E(40)^4-2*E(40)^8+2*E(40)^12, -2+2*E(40)^4+2*E(40)^12, -2+2*E(40)^4-2*E(40)^8, 2, 0, 0, 4*E(40)^12, -4*E(40)^16, -4*E(40)^8, 4*E(40)^4, 2*E(40)^4-2*E(40)^8, 2*E(40)^4+2*E(40)^-4, -2-2*E(40)^8, -2*E(40)^8-2*E(40)^-8, -2*E(40)^4+2*E(40)^8-2*E(40)^12, 2*E(40)^4+2*E(40)^12, -2+2*E(40)^4, -2+2*E(40)^12, 2-2*E(40)^4-2*E(40)^12, 2-2*E(40)^4+2*E(40)^8, 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(40)^8, 2*E(40)^12, -2*E(40)^16, 2*E(40)^4, -1*E(40)^4+E(40)^8-E(40)^12, -1*E(40)^8-E(40)^-8, E(40)^4+E(40)^12, -1-E(40)^8, 1-E(40)^4+E(40)^8, -1+E(40)^4, E(40)^4+E(40)^-4, E(40)^4-E(40)^8, -1+E(40)^12, 1-E(40)^4-E(40)^12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(40)^4, 2*E(40)^16, 2*E(40)^8, -2*E(40)^12, -1*E(40)^4+E(40)^8, E(40)^8+E(40)^-8, 1-E(40)^4, E(40)^4-E(40)^8+E(40)^12, -1+E(40)^4-E(40)^8, -1*E(40)^4-E(40)^12, 1-E(40)^12, 1+E(40)^8, -1+E(40)^4+E(40)^12, -1*E(40)^4-E(40)^-4, 0, -1*E(40)-E(40)^3+E(40)^7+E(40)^9-2*E(40)^11+E(40)^15, -1*E(40)-E(40)^5-E(40)^11-E(40)^15, 0, E(40)-E(40)^3+E(40)^11+E(40)^13, E(40)-2*E(40)^5+E(40)^7+E(40)^9-E(40)^13-E(40)^15, -2*E(40)+E(40)^5-E(40)^7-E(40)^9-E(40)^11+E(40)^13, E(40)^3+E(40)^5-E(40)^13+E(40)^15, E(40)^3-E(40)^5-E(40)^7-E(40)^9+E(40)^11-2*E(40)^15, -1*E(40)-E(40)^3+E(40)^5-E(40)^7-E(40)^9+2*E(40)^13, -1*E(40)+E(40)^3-E(40)^11-E(40)^13, E(40)+E(40)^5+E(40)^11+E(40)^15, 0, -1*E(40)+E(40)^3+E(40)^5-2*E(40)^7-2*E(40)^9+E(40)^11+E(40)^13-E(40)^15, E(40)+E(40)^3-E(40)^5+E(40)^7+E(40)^9-2*E(40)^13, 2*E(40)-E(40)^5+E(40)^7+E(40)^9+E(40)^11-E(40)^13, -1*E(40)^3+E(40)^5+E(40)^7+E(40)^9-E(40)^11+2*E(40)^15, E(40)-E(40)^3-E(40)^5+2*E(40)^7+2*E(40)^9-E(40)^11-E(40)^13+E(40)^15, -2*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^13+E(40)^15, -1*E(40)^3-E(40)^5+E(40)^13-E(40)^15, 0, 2*E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^13-E(40)^15, -1*E(40)+2*E(40)^5-E(40)^7-E(40)^9+E(40)^13+E(40)^15, E(40)+E(40)^3-E(40)^7-E(40)^9+2*E(40)^11-E(40)^15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, -2, 0, 0, 4*E(40)^16, -4*E(40)^4, 4*E(40)^8, -4*E(40)^12, -2+2*E(40)^4-2*E(40)^8, -2+2*E(40)^4+2*E(40)^12, 2*E(40)^8+2*E(40)^-8, 2*E(40)^4-2*E(40)^8+2*E(40)^12, 2+2*E(40)^8, -2*E(40)^4-2*E(40)^-4, 2-2*E(40)^12, 2-2*E(40)^4, -2*E(40)^4-2*E(40)^12, -2*E(40)^4+2*E(40)^8, 2, 0, 0, -4*E(40)^8, 4*E(40)^4, 4*E(40)^12, -4*E(40)^16, 2-2*E(40)^4+2*E(40)^8, 2*E(40)^4+2*E(40)^-4, -2+2*E(40)^12, -2*E(40)^8-2*E(40)^-8, -2+2*E(40)^4, 2-2*E(40)^4-2*E(40)^12, 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-1*E(5)-E(5)^-2, -1*E(5)-E(5)^2, -1-E(5)^2, -2*E(5), -1*E(5)-E(5)^2, -1-E(5)^-2, -1*E(5)-E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 2, 0, 0, 0, -2, 0, 6*E(5)^-2, 6*E(5)^2, 6*E(5)^-1, 6*E(5), 3+3*E(5)^-1, 3+3*E(5)^2, 3*E(5)^2+3*E(5)^-2, 3*E(5)+3*E(5)^2, 3*E(5)+3*E(5)^-2, 3*E(5)+3*E(5)^-1, -3-3*E(5)-3*E(5)^-2, -3-3*E(5)-3*E(5)^2, 3+3*E(5)^-2, 3+3*E(5), 0, -2, 0, 6*E(5)^-1, 6*E(5)^2, 6*E(5), 6*E(5)^-2, 3+3*E(5)^-1, 3*E(5)+3*E(5)^-1, -3-3*E(5)-3*E(5)^-2, 3*E(5)^2+3*E(5)^-2, -3-3*E(5)-3*E(5)^2, 3+3*E(5)^2, 3*E(5)+3*E(5)^2, 3*E(5)+3*E(5)^-2, 3+3*E(5)^-2, 3+3*E(5), 2*E(5)^2, 2*E(5)^-1, 2*E(5)^-2, 2*E(5), 1+E(5), -1-E(5)-E(5)^-2, E(5)+E(5)^2, E(5)^2+E(5)^-2, 1+E(5)^-1, 1+E(5)^-2, E(5)+E(5)^-2, E(5)+E(5)^-1, -1-E(5)-E(5)^2, 1+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, -2*E(5)^-1, -2*E(5), -2*E(5)^2, -2*E(5)^-2, 0, 0, 0, 0, -1*E(5)-E(5)^2, -1*E(5)-E(5)^-2, -1-E(5)^-2, -1-E(5)^2, -1-E(5)^-1, -1*E(5)^2-E(5)^-2, 1+E(5)+E(5)^-2, -1*E(5)-E(5)^-1, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 2, 0, 0, 0, -2, 0, 6*E(5), 6*E(5)^-1, 6*E(5)^-2, 6*E(5)^2, 3+3*E(5)^-2, 3+3*E(5)^-1, 3*E(5)+3*E(5)^-1, -3-3*E(5)-3*E(5)^-2, 3*E(5)+3*E(5)^2, 3*E(5)^2+3*E(5)^-2, -3-3*E(5)-3*E(5)^2, 3*E(5)+3*E(5)^-2, 3+3*E(5), 3+3*E(5)^2, 0, -2, 0, 6*E(5)^-2, 6*E(5)^-1, 6*E(5)^2, 6*E(5), 3+3*E(5)^-2, 3*E(5)^2+3*E(5)^-2, -3-3*E(5)-3*E(5)^2, 3*E(5)+3*E(5)^-1, 3*E(5)+3*E(5)^-2, 3+3*E(5)^-1, -3-3*E(5)-3*E(5)^-2, 3*E(5)+3*E(5)^2, 3+3*E(5), 3+3*E(5)^2, 2*E(5)^-1, 2*E(5)^-2, 2*E(5), 2*E(5)^2, 1+E(5)^2, -1-E(5)-E(5)^2, -1-E(5)-E(5)^-2, E(5)+E(5)^-1, 1+E(5)^-2, 1+E(5), E(5)+E(5)^2, E(5)^2+E(5)^-2, E(5)+E(5)^-2, 1+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, -2*E(5)^-2, -2*E(5)^2, -2*E(5)^-1, -2*E(5), 0, 0, 0, 0, 1+E(5)+E(5)^-2, -1*E(5)-E(5)^2, -1-E(5), -1-E(5)^-1, -1-E(5)^-2, -1*E(5)-E(5)^-1, 1+E(5)+E(5)^2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-2, -1-E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-1, -1*E(5)^2-E(5)^-2, 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-4*E(5)^2-4*E(5)^-2, -4*E(5)-4*E(5)^-1, -4*E(5)-4*E(5)^-1, -4*E(5)^2-4*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, 2, 2, 2, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -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], [8, -8, 0, 0, 0, 2, 0, 0, 8, 8, 8, 8, 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, 4*E(5)^2+4*E(5)^-2, 4*E(5)^2+4*E(5)^-2, 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)+4*E(5)^-1, -2, 0, 0, -8, -8, -8, -8, -4*E(5)-4*E(5)^-1, -4*E(5)^2-4*E(5)^-2, -4*E(5)^2-4*E(5)^-2, -4*E(5)-4*E(5)^-1, -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)^2-4*E(5)^-2, -4*E(5)^2-4*E(5)^-2, -4*E(5)-4*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, 2, 2, 2, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-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], [8, -8, 0, 0, 0, 2, 0, 0, 8*E(5)^-2, 8*E(5)^2, 8*E(5)^-1, 8*E(5), 4*E(5)+4*E(5)^-2, -4-4*E(5)-4*E(5)^2, 4*E(5)+4*E(5)^-1, 4+4*E(5)^-2, 4+4*E(5)^-1, 4*E(5)^2+4*E(5)^-2, 4+4*E(5), 4+4*E(5)^2, 4*E(5)+4*E(5)^2, -4-4*E(5)-4*E(5)^-2, -2, 0, 0, -8*E(5)^-1, -8*E(5)^2, -8*E(5), -8*E(5)^-2, -4*E(5)-4*E(5)^-2, -4*E(5)^2-4*E(5)^-2, -4-4*E(5), -4*E(5)-4*E(5)^-1, -4-4*E(5)^2, 4+4*E(5)+4*E(5)^2, -4-4*E(5)^-2, -4-4*E(5)^-1, -4*E(5)-4*E(5)^2, 4+4*E(5)+4*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, 2*E(5), 2*E(5)^-1, 2*E(5)^2, 2*E(5)^-2, 1+E(5)^2, E(5)+E(5)^-1, -1-E(5)-E(5)^2, 1+E(5), -1-E(5)-E(5)^-2, 1+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-2, 1+E(5)^-1, E(5)+E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-2, -2*E(5)^2, -2*E(5), -2*E(5)^-1, -1*E(5)-E(5)^-2, -1*E(5)-E(5)^-1, -1-E(5)^-2, -1-E(5)^2, 1+E(5)+E(5)^-2, 1+E(5)+E(5)^2, -1-E(5)^-1, -1-E(5), -1*E(5)-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], [8, -8, 0, 0, 0, 2, 0, 0, 8*E(5)^2, 8*E(5)^-2, 8*E(5), 8*E(5)^-1, -4-4*E(5)-4*E(5)^-2, 4*E(5)+4*E(5)^2, 4*E(5)+4*E(5)^-1, 4+4*E(5)^2, 4+4*E(5), 4*E(5)^2+4*E(5)^-2, 4+4*E(5)^-1, 4+4*E(5)^-2, -4-4*E(5)-4*E(5)^2, 4*E(5)+4*E(5)^-2, -2, 0, 0, -8*E(5), -8*E(5)^-2, -8*E(5)^-1, -8*E(5)^2, 4+4*E(5)+4*E(5)^-2, -4*E(5)^2-4*E(5)^-2, -4-4*E(5)^-1, -4*E(5)-4*E(5)^-1, -4-4*E(5)^-2, -4*E(5)-4*E(5)^2, -4-4*E(5)^2, -4-4*E(5), 4+4*E(5)+4*E(5)^2, -4*E(5)-4*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, 2*E(5)^-1, 2*E(5), 2*E(5)^-2, 2*E(5)^2, 1+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^2, 1+E(5)^-1, E(5)+E(5)^-2, 1+E(5)^2, E(5)^2+E(5)^-2, -1-E(5)-E(5)^-2, 1+E(5), -1-E(5)-E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^2, -2*E(5)^-2, -2*E(5)^-1, -2*E(5), 1+E(5)+E(5)^-2, -1*E(5)-E(5)^-1, -1-E(5)^2, -1-E(5)^-2, -1*E(5)-E(5)^-2, -1*E(5)-E(5)^2, -1-E(5), -1-E(5)^-1, 1+E(5)+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], [8, -8, 0, 0, 0, 2, 0, 0, 8*E(5)^-1, 8*E(5), 8*E(5)^2, 8*E(5)^-2, -4-4*E(5)-4*E(5)^2, -4-4*E(5)-4*E(5)^-2, 4*E(5)^2+4*E(5)^-2, 4+4*E(5)^-1, 4+4*E(5)^2, 4*E(5)+4*E(5)^-1, 4+4*E(5)^-2, 4+4*E(5), 4*E(5)+4*E(5)^-2, 4*E(5)+4*E(5)^2, -2, 0, 0, -8*E(5)^2, -8*E(5), -8*E(5)^-2, -8*E(5)^-1, 4+4*E(5)+4*E(5)^2, -4*E(5)-4*E(5)^-1, -4-4*E(5)^-2, -4*E(5)^2-4*E(5)^-2, -4-4*E(5), 4+4*E(5)+4*E(5)^-2, -4-4*E(5)^-1, -4-4*E(5)^2, -4*E(5)-4*E(5)^-2, -4*E(5)-4*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, 2*E(5)^-2, 2*E(5)^2, 2*E(5), 2*E(5)^-1, 1+E(5), E(5)^2+E(5)^-2, -1-E(5)-E(5)^-2, 1+E(5)^-2, E(5)+E(5)^2, 1+E(5)^-1, E(5)+E(5)^-1, -1-E(5)-E(5)^2, 1+E(5)^2, E(5)+E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-1, -2*E(5), -2*E(5)^-2, -2*E(5)^2, 1+E(5)+E(5)^2, -1*E(5)^2-E(5)^-2, -1-E(5)^-1, -1-E(5), -1*E(5)-E(5)^2, 1+E(5)+E(5)^-2, -1-E(5)^2, -1-E(5)^-2, -1*E(5)-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], [8, -8, 0, 0, 0, 2, 0, 0, 8*E(5), 8*E(5)^-1, 8*E(5)^-2, 8*E(5)^2, 4*E(5)+4*E(5)^2, 4*E(5)+4*E(5)^-2, 4*E(5)^2+4*E(5)^-2, 4+4*E(5), 4+4*E(5)^-2, 4*E(5)+4*E(5)^-1, 4+4*E(5)^2, 4+4*E(5)^-1, -4-4*E(5)-4*E(5)^-2, -4-4*E(5)-4*E(5)^2, -2, 0, 0, -8*E(5)^-2, -8*E(5)^-1, -8*E(5)^2, -8*E(5), -4*E(5)-4*E(5)^2, -4*E(5)-4*E(5)^-1, -4-4*E(5)^2, -4*E(5)^2-4*E(5)^-2, -4-4*E(5)^-1, -4*E(5)-4*E(5)^-2, -4-4*E(5), -4-4*E(5)^-2, 4+4*E(5)+4*E(5)^-2, 4+4*E(5)+4*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, 2*E(5)^2, 2*E(5)^-2, 2*E(5)^-1, 2*E(5), 1+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-2, 1+E(5)^2, -1-E(5)-E(5)^2, 1+E(5), E(5)+E(5)^-1, E(5)+E(5)^2, 1+E(5)^-2, -1-E(5)-E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5), -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-2, -1*E(5)-E(5)^2, -1*E(5)^2-E(5)^-2, -1-E(5), -1-E(5)^-1, 1+E(5)+E(5)^2, -1*E(5)-E(5)^-2, -1-E(5)^-2, -1-E(5)^2, 1+E(5)+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], [8, -8, 0, 0, 0, 2, 0, 0, 8*E(5)^-2, 8*E(5)^2, 8*E(5)^-1, 8*E(5), 4+4*E(5)^-1, 4+4*E(5)^2, 4*E(5)^2+4*E(5)^-2, 4*E(5)+4*E(5)^2, 4*E(5)+4*E(5)^-2, 4*E(5)+4*E(5)^-1, -4-4*E(5)-4*E(5)^-2, -4-4*E(5)-4*E(5)^2, 4+4*E(5)^-2, 4+4*E(5), -2, 0, 0, -8*E(5)^-1, -8*E(5)^2, -8*E(5), -8*E(5)^-2, -4-4*E(5)^-1, -4*E(5)-4*E(5)^-1, 4+4*E(5)+4*E(5)^-2, -4*E(5)^2-4*E(5)^-2, 4+4*E(5)+4*E(5)^2, -4-4*E(5)^2, -4*E(5)-4*E(5)^2, -4*E(5)-4*E(5)^-2, -4-4*E(5)^-2, -4-4*E(5), 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(5), 2*E(5)^-1, 2*E(5)^2, 2*E(5)^-2, -1-E(5)-E(5)^2, E(5)^2+E(5)^-2, 1+E(5)^2, -1-E(5)-E(5)^-2, 1+E(5), E(5)+E(5)^2, E(5)+E(5)^-1, 1+E(5)^-1, E(5)+E(5)^-2, 1+E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-2, -2*E(5)^2, -2*E(5), -2*E(5)^-1, -1-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^2, 1+E(5)+E(5)^2, -1-E(5), -1-E(5)^2, -1*E(5)-E(5)^-2, 1+E(5)+E(5)^-2, -1-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], [8, -8, 0, 0, 0, 2, 0, 0, 8*E(5)^2, 8*E(5)^-2, 8*E(5), 8*E(5)^-1, 4+4*E(5), 4+4*E(5)^-2, 4*E(5)^2+4*E(5)^-2, -4-4*E(5)-4*E(5)^2, -4-4*E(5)-4*E(5)^-2, 4*E(5)+4*E(5)^-1, 4*E(5)+4*E(5)^-2, 4*E(5)+4*E(5)^2, 4+4*E(5)^2, 4+4*E(5)^-1, -2, 0, 0, -8*E(5), -8*E(5)^-2, -8*E(5)^-1, -8*E(5)^2, -4-4*E(5), -4*E(5)-4*E(5)^-1, -4*E(5)-4*E(5)^-2, -4*E(5)^2-4*E(5)^-2, -4*E(5)-4*E(5)^2, -4-4*E(5)^-2, 4+4*E(5)+4*E(5)^2, 4+4*E(5)+4*E(5)^-2, -4-4*E(5)^2, -4-4*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, 2*E(5)^-1, 2*E(5), 2*E(5)^-2, 2*E(5)^2, E(5)+E(5)^2, E(5)^2+E(5)^-2, 1+E(5)^-2, E(5)+E(5)^-2, 1+E(5)^-1, -1-E(5)-E(5)^2, E(5)+E(5)^-1, 1+E(5), -1-E(5)-E(5)^-2, 1+E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^2, -2*E(5)^-2, -2*E(5)^-1, -2*E(5), -1-E(5), -1*E(5)^2-E(5)^-2, 1+E(5)+E(5)^2, -1*E(5)-E(5)^2, -1-E(5)^-1, -1-E(5)^-2, 1+E(5)+E(5)^-2, -1*E(5)-E(5)^-2, -1-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], [8, -8, 0, 0, 0, 2, 0, 0, 8*E(5)^-1, 8*E(5), 8*E(5)^2, 8*E(5)^-2, 4+4*E(5)^2, 4+4*E(5), 4*E(5)+4*E(5)^-1, 4*E(5)+4*E(5)^-2, -4-4*E(5)-4*E(5)^2, 4*E(5)^2+4*E(5)^-2, 4*E(5)+4*E(5)^2, -4-4*E(5)-4*E(5)^-2, 4+4*E(5)^-1, 4+4*E(5)^-2, -2, 0, 0, -8*E(5)^2, -8*E(5), -8*E(5)^-2, -8*E(5)^-1, -4-4*E(5)^2, -4*E(5)^2-4*E(5)^-2, -4*E(5)-4*E(5)^2, -4*E(5)-4*E(5)^-1, 4+4*E(5)+4*E(5)^-2, -4-4*E(5), -4*E(5)-4*E(5)^-2, 4+4*E(5)+4*E(5)^2, -4-4*E(5)^-1, -4-4*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, 2*E(5)^-2, 2*E(5)^2, 2*E(5), 2*E(5)^-1, -1-E(5)-E(5)^-2, E(5)+E(5)^-1, 1+E(5), E(5)+E(5)^2, 1+E(5)^-2, E(5)+E(5)^-2, E(5)^2+E(5)^-2, 1+E(5)^2, -1-E(5)-E(5)^2, 1+E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-1, -2*E(5), -2*E(5)^-2, -2*E(5)^2, -1-E(5)^2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-2, 1+E(5)+E(5)^-2, -1-E(5)^-2, -1-E(5), 1+E(5)+E(5)^2, -1*E(5)-E(5)^2, -1-E(5)^-1, -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], [8, -8, 0, 0, 0, 2, 0, 0, 8*E(5), 8*E(5)^-1, 8*E(5)^-2, 8*E(5)^2, 4+4*E(5)^-2, 4+4*E(5)^-1, 4*E(5)+4*E(5)^-1, -4-4*E(5)-4*E(5)^-2, 4*E(5)+4*E(5)^2, 4*E(5)^2+4*E(5)^-2, -4-4*E(5)-4*E(5)^2, 4*E(5)+4*E(5)^-2, 4+4*E(5), 4+4*E(5)^2, -2, 0, 0, -8*E(5)^-2, -8*E(5)^-1, -8*E(5)^2, -8*E(5), -4-4*E(5)^-2, -4*E(5)^2-4*E(5)^-2, 4+4*E(5)+4*E(5)^2, -4*E(5)-4*E(5)^-1, -4*E(5)-4*E(5)^-2, -4-4*E(5)^-1, 4+4*E(5)+4*E(5)^-2, -4*E(5)-4*E(5)^2, -4-4*E(5), -4-4*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, 2*E(5)^2, 2*E(5)^-2, 2*E(5)^-1, 2*E(5), E(5)+E(5)^-2, E(5)+E(5)^-1, 1+E(5)^-1, -1-E(5)-E(5)^2, 1+E(5)^2, -1-E(5)-E(5)^-2, E(5)^2+E(5)^-2, 1+E(5)^-2, E(5)+E(5)^2, 1+E(5), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5), -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-2, -1-E(5)^-2, -1*E(5)-E(5)^-1, 1+E(5)+E(5)^-2, -1*E(5)-E(5)^-2, -1-E(5)^2, -1-E(5)^-1, -1*E(5)-E(5)^2, 1+E(5)+E(5)^2, -1-E(5), -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]]; ConvertToLibraryCharacterTableNC(chartbl_2400_cn);