# Group 324.9 downloaded from the LMFDB on 24 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(50384474091699982234338767,324); a := GPC.1; b := GPC.5; GPerm := Group( (2,4)(3,7)(5,6)(8,9)(19,20,21,22), (2,5,9)(4,6,8)(10,11,13,12,14,16,15,17,18), (19,21)(20,22), (10,12,15)(11,14,17)(13,16,18), (1,2,6,7,9,8,3,5,4), (1,3,7)(2,5,9)(4,8,6) ); GLZN := Group([[[ZmodnZObj(80,108), ZmodnZObj(95,108)], [ZmodnZObj(27,108), ZmodnZObj(82,108)]],[[ZmodnZObj(1,108), ZmodnZObj(54,108)], [ZmodnZObj(54,108), ZmodnZObj(1,108)]],[[ZmodnZObj(37,108), ZmodnZObj(0,108)], [ZmodnZObj(0,108), ZmodnZObj(73,108)]],[[ZmodnZObj(1,108), ZmodnZObj(36,108)], [ZmodnZObj(0,108), ZmodnZObj(1,108)]],[[ZmodnZObj(1,108), ZmodnZObj(12,108)], [ZmodnZObj(0,108), ZmodnZObj(1,108)]],[[ZmodnZObj(49,108), ZmodnZObj(0,108)], [ZmodnZObj(0,108), ZmodnZObj(25,108)]]]); # Booleans booleans_324_9 := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := true, metacyclic := true, monomial := true, nilpotent := false, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := true); # Character Table chartbl_324_9:=rec(); chartbl_324_9.IsFinite:= true; chartbl_324_9.UnderlyingCharacteristic:= 0; chartbl_324_9.UnderlyingGroup:= GPC; chartbl_324_9.Size:= 324; chartbl_324_9.InfoText:= "Character table for group 324.9 downloaded from the LMFDB."; chartbl_324_9.Identifier:= " C9:C36 "; chartbl_324_9.NrConjugacyClasses:= 60; chartbl_324_9.ConjugacyClasses:= [ of ..., f2*f3*f4, f4, f4^2, f6^2, f4*f6^2, f4^2*f6, f1*f3^2, f1*f2*f4^2, f2*f3, f2*f3*f4^2, f2*f3*f4*f6, f2*f3*f6, f2*f3*f4^2*f6^2, f3, f3^2*f4^2, f3^2, f3*f4^2, f3*f4, f3^2*f4, f5^2, f4*f5^2, f4^2*f5*f6^2, f3*f5^2*f6, f3^2*f4^2*f5*f6^2, f3^2*f5*f6, f3*f4^2*f5^2*f6^2, f3*f4*f5^2, f3^2*f4*f5, f1*f2, f1*f3^2*f4^2, f1*f2*f4, f1*f3^2*f4, f2, f2*f3^2*f4^2, f2*f3^2, f2*f4^2, f2*f4, f2*f3^2*f4, f2*f3*f4*f5, f2*f3*f5, f2*f3*f4^2*f5, f2*f5, f2*f3^2*f4^2*f5, f2*f3^2*f5, f2*f4^2*f5, f2*f4*f5, f2*f3^2*f4*f5, f1, f1*f2*f3^2*f4^2, f1*f3, f1*f2*f3*f4^2, f1*f2*f3, f1*f3*f4^2, f1*f2*f3^2, f1*f4^2, f1*f4, f1*f2*f3^2*f4, f1*f3*f4, f1*f2*f3*f4]; chartbl_324_9.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]; chartbl_324_9.ComputedPowerMaps:= [ , [1, 1, 4, 3, 5, 7, 6, 2, 2, 3, 4, 5, 6, 7, 17, 18, 19, 20, 16, 15, 21, 23, 22, 26, 27, 28, 29, 25, 24, 10, 11, 11, 10, 15, 16, 20, 19, 18, 17, 21, 22, 23, 24, 25, 29, 28, 27, 26, 34, 35, 36, 37, 38, 39, 39, 38, 37, 36, 35, 34], [1, 2, 1, 1, 1, 1, 1, 9, 8, 2, 2, 2, 2, 2, 3, 4, 4, 3, 3, 4, 5, 5, 5, 6, 7, 7, 6, 6, 7, 8, 9, 8, 9, 10, 11, 11, 10, 10, 11, 12, 12, 12, 13, 14, 14, 13, 13, 14, 30, 31, 32, 33, 33, 32, 31, 30, 30, 31, 32, 33]]; chartbl_324_9.SizesCentralizers:= [324, 324, 324, 324, 162, 162, 162, 36, 36, 324, 324, 162, 162, 162, 108, 108, 108, 108, 108, 108, 54, 54, 54, 54, 54, 54, 54, 54, 54, 36, 36, 36, 36, 108, 108, 108, 108, 108, 108, 54, 54, 54, 54, 54, 54, 54, 54, 54, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36]; chartbl_324_9.ClassNames:= ["1A", "2A", "3A1", "3A-1", "3B", "3C1", "3C-1", "4A1", "4A-1", "6A1", "6A-1", "6B", "6C1", "6C-1", "9A1", "9A-1", "9A2", "9A-2", "9A4", "9A-4", "9B", "9C1", "9C-1", "9D1", "9D-1", "9D2", "9D-2", "9D4", "9D-4", "12A1", "12A-1", "12A5", "12A-5", "18A1", "18A-1", "18A5", "18A-5", "18A7", "18A-7", "18B", "18C1", "18C-1", "18D1", "18D-1", "18D5", "18D-5", "18D7", "18D-7", "36A1", "36A-1", "36A5", "36A-5", "36A7", "36A-7", "36A11", "36A-11", "36A13", "36A-13", "36A17", "36A-17"]; chartbl_324_9.OrderClassRepresentatives:= [1, 2, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 12, 12, 12, 12, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36]; chartbl_324_9.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, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, 1, 1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3), 1, E(3), E(3), E(3)^-1, 1, E(3), E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3), E(3), 1, E(3)^-1, 1, E(3)^-1, E(3)^-1, E(3), 1, E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)], [1, -1, 1, 1, 1, 1, 1, -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*E(4), E(4), -1*E(4), E(4), -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), E(4), -1*E(4), -1*E(4), -1*E(4), -1*E(4), E(4), E(4), E(4)], [1, -1, 1, 1, 1, 1, 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, E(4), -1*E(4), E(4), -1*E(4), -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), -1*E(4), E(4), E(4), E(4), E(4), -1*E(4), -1*E(4), -1*E(4)], [1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), E(3)^-1, -1, -1, -1, -1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3), 1, E(3), E(3), E(3)^-1, 1, -1*E(3), -1*E(3), -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1], [1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, E(3), -1, -1, -1, -1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3), E(3), 1, E(3)^-1, 1, E(3)^-1, E(3)^-1, E(3), 1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)], [1, -1, 1, 1, 1, 1, 1, -1*E(12)^3, E(12)^3, -1, -1, -1, -1, -1, -1*E(12)^2, E(12)^4, E(12)^4, -1*E(12)^2, E(12)^4, -1*E(12)^2, 1, 1, -1*E(12)^2, E(12)^4, 1, E(12)^4, -1*E(12)^2, E(12)^4, -1*E(12)^2, -1*E(12)^3, E(12)^3, -1*E(12)^3, E(12)^3, -1*E(12)^4, -1*E(12)^4, -1*E(12)^4, E(12)^2, E(12)^2, E(12)^2, E(12)^2, E(12)^2, -1, -1*E(12)^4, -1, -1*E(12)^4, -1*E(12)^4, E(12)^2, -1, E(12), -1*E(12), -1*E(12), E(12), -1*E(12)^5, E(12)^5, E(12)^5, E(12), E(12)^5, -1*E(12), -1*E(12)^5, -1*E(12)^5], [1, -1, 1, 1, 1, 1, 1, E(12)^3, -1*E(12)^3, -1, -1, -1, -1, -1, E(12)^4, -1*E(12)^2, -1*E(12)^2, E(12)^4, -1*E(12)^2, E(12)^4, 1, 1, E(12)^4, -1*E(12)^2, 1, -1*E(12)^2, E(12)^4, -1*E(12)^2, E(12)^4, E(12)^3, -1*E(12)^3, E(12)^3, -1*E(12)^3, E(12)^2, E(12)^2, E(12)^2, -1*E(12)^4, -1*E(12)^4, -1*E(12)^4, -1*E(12)^4, -1*E(12)^4, -1, E(12)^2, -1, E(12)^2, E(12)^2, -1*E(12)^4, -1, -1*E(12)^5, E(12)^5, E(12)^5, -1*E(12)^5, E(12), -1*E(12), -1*E(12), -1*E(12)^5, -1*E(12), E(12)^5, E(12), E(12)], [1, -1, 1, 1, 1, 1, 1, -1*E(12)^3, E(12)^3, -1, -1, -1, -1, -1, E(12)^4, -1*E(12)^2, -1*E(12)^2, E(12)^4, -1*E(12)^2, E(12)^4, 1, 1, E(12)^4, -1*E(12)^2, 1, -1*E(12)^2, E(12)^4, -1*E(12)^2, E(12)^4, -1*E(12)^3, E(12)^3, -1*E(12)^3, E(12)^3, E(12)^2, E(12)^2, E(12)^2, -1*E(12)^4, -1*E(12)^4, -1*E(12)^4, -1*E(12)^4, -1*E(12)^4, -1, E(12)^2, -1, E(12)^2, E(12)^2, -1*E(12)^4, -1, E(12)^5, -1*E(12)^5, -1*E(12)^5, E(12)^5, -1*E(12), E(12), E(12), E(12)^5, E(12), -1*E(12)^5, -1*E(12), -1*E(12)], [1, -1, 1, 1, 1, 1, 1, E(12)^3, -1*E(12)^3, -1, -1, -1, -1, -1, -1*E(12)^2, E(12)^4, E(12)^4, -1*E(12)^2, E(12)^4, -1*E(12)^2, 1, 1, -1*E(12)^2, E(12)^4, 1, E(12)^4, -1*E(12)^2, E(12)^4, -1*E(12)^2, E(12)^3, -1*E(12)^3, E(12)^3, -1*E(12)^3, -1*E(12)^4, -1*E(12)^4, -1*E(12)^4, E(12)^2, E(12)^2, E(12)^2, E(12)^2, E(12)^2, -1, -1*E(12)^4, -1, -1*E(12)^4, -1*E(12)^4, E(12)^2, -1, -1*E(12), E(12), E(12), -1*E(12), E(12)^5, -1*E(12)^5, -1*E(12)^5, -1*E(12), -1*E(12)^5, E(12), E(12)^5, E(12)^5], [1, 1, E(9)^-3, E(9)^3, 1, E(9)^-3, E(9)^3, 1, 1, E(9)^3, E(9)^-3, 1, E(9)^3, E(9)^-3, E(9)^4, E(9)^-4, E(9)^2, E(9)^-2, E(9)^-1, E(9), 1, E(9)^-3, E(9), E(9)^2, E(9)^3, E(9)^-4, E(9)^-2, E(9)^-1, E(9)^4, E(9)^3, E(9)^-3, E(9)^-3, E(9)^3, E(9)^-4, E(9)^-1, E(9)^2, E(9)^4, E(9)^-2, E(9), E(9)^4, E(9)^-2, 1, E(9)^-1, E(9)^3, E(9)^-4, E(9)^2, E(9), E(9)^-3, E(9)^2, E(9)^2, E(9)^-4, E(9)^-1, E(9)^-2, E(9), E(9)^4, E(9)^-4, E(9)^-2, E(9)^-1, E(9), E(9)^4], [1, 1, E(9)^3, E(9)^-3, 1, E(9)^3, E(9)^-3, 1, 1, E(9)^-3, E(9)^3, 1, E(9)^-3, E(9)^3, E(9)^-4, E(9)^4, E(9)^-2, E(9)^2, E(9), E(9)^-1, 1, E(9)^3, E(9)^-1, E(9)^-2, E(9)^-3, E(9)^4, E(9)^2, E(9), E(9)^-4, E(9)^-3, E(9)^3, E(9)^3, E(9)^-3, E(9)^4, E(9), E(9)^-2, E(9)^-4, E(9)^2, E(9)^-1, E(9)^-4, E(9)^2, 1, E(9), E(9)^-3, E(9)^4, E(9)^-2, E(9)^-1, E(9)^3, E(9)^-2, E(9)^-2, E(9)^4, E(9), E(9)^2, E(9)^-1, E(9)^-4, E(9)^4, E(9)^2, E(9), E(9)^-1, E(9)^-4], [1, 1, E(9)^-3, E(9)^3, 1, E(9)^-3, E(9)^3, 1, 1, E(9)^3, E(9)^-3, 1, E(9)^3, E(9)^-3, E(9)^-2, E(9)^2, E(9)^-1, E(9), E(9)^-4, E(9)^4, 1, E(9)^-3, E(9)^4, E(9)^-1, E(9)^3, E(9)^2, E(9), E(9)^-4, E(9)^-2, E(9)^3, E(9)^-3, E(9)^-3, E(9)^3, E(9)^2, E(9)^-4, E(9)^-1, E(9)^-2, E(9), E(9)^4, E(9)^-2, E(9), 1, E(9)^-4, E(9)^3, E(9)^2, E(9)^-1, E(9)^4, E(9)^-3, E(9)^-1, E(9)^-1, E(9)^2, E(9)^-4, E(9), E(9)^4, E(9)^-2, E(9)^2, E(9), E(9)^-4, E(9)^4, E(9)^-2], [1, 1, E(9)^3, E(9)^-3, 1, E(9)^3, E(9)^-3, 1, 1, E(9)^-3, E(9)^3, 1, E(9)^-3, E(9)^3, E(9)^2, E(9)^-2, E(9), E(9)^-1, E(9)^4, E(9)^-4, 1, E(9)^3, E(9)^-4, E(9), E(9)^-3, E(9)^-2, E(9)^-1, E(9)^4, E(9)^2, E(9)^-3, E(9)^3, E(9)^3, E(9)^-3, E(9)^-2, E(9)^4, E(9), E(9)^2, E(9)^-1, E(9)^-4, E(9)^2, E(9)^-1, 1, E(9)^4, E(9)^-3, E(9)^-2, E(9), E(9)^-4, E(9)^3, E(9), E(9), E(9)^-2, E(9)^4, E(9)^-1, E(9)^-4, E(9)^2, E(9)^-2, E(9)^-1, E(9)^4, E(9)^-4, E(9)^2], [1, 1, E(9)^-3, E(9)^3, 1, E(9)^-3, E(9)^3, 1, 1, E(9)^3, E(9)^-3, 1, E(9)^3, E(9)^-3, E(9), E(9)^-1, E(9)^-4, E(9)^4, E(9)^2, E(9)^-2, 1, E(9)^-3, E(9)^-2, E(9)^-4, E(9)^3, E(9)^-1, E(9)^4, E(9)^2, E(9), E(9)^3, E(9)^-3, E(9)^-3, E(9)^3, E(9)^-1, E(9)^2, E(9)^-4, E(9), E(9)^4, E(9)^-2, E(9), E(9)^4, 1, E(9)^2, E(9)^3, E(9)^-1, E(9)^-4, E(9)^-2, E(9)^-3, E(9)^-4, E(9)^-4, E(9)^-1, E(9)^2, E(9)^4, E(9)^-2, E(9), E(9)^-1, E(9)^4, E(9)^2, E(9)^-2, E(9)], [1, 1, E(9)^3, E(9)^-3, 1, E(9)^3, E(9)^-3, 1, 1, E(9)^-3, E(9)^3, 1, E(9)^-3, E(9)^3, E(9)^-1, E(9), E(9)^4, E(9)^-4, E(9)^-2, E(9)^2, 1, E(9)^3, E(9)^2, E(9)^4, E(9)^-3, E(9), E(9)^-4, E(9)^-2, E(9)^-1, E(9)^-3, E(9)^3, E(9)^3, E(9)^-3, E(9), E(9)^-2, E(9)^4, E(9)^-1, E(9)^-4, E(9)^2, E(9)^-1, E(9)^-4, 1, E(9)^-2, E(9)^-3, E(9), E(9)^4, E(9)^2, E(9)^3, E(9)^4, E(9)^4, E(9), E(9)^-2, E(9)^-4, E(9)^2, E(9)^-1, E(9), E(9)^-4, E(9)^-2, E(9)^2, E(9)^-1], [1, 1, E(9)^-3, E(9)^3, 1, E(9)^-3, E(9)^3, -1, -1, E(9)^3, E(9)^-3, 1, E(9)^3, E(9)^-3, E(9)^4, E(9)^-4, E(9)^2, E(9)^-2, E(9)^-1, E(9), 1, E(9)^-3, E(9), E(9)^2, E(9)^3, E(9)^-4, E(9)^-2, E(9)^-1, E(9)^4, -1*E(9)^3, -1*E(9)^-3, -1*E(9)^-3, -1*E(9)^3, E(9)^-4, E(9)^-1, E(9)^2, E(9)^4, E(9)^-2, E(9), E(9)^4, E(9)^-2, 1, E(9)^-1, E(9)^3, E(9)^-4, E(9)^2, E(9), E(9)^-3, -1*E(9)^2, -1*E(9)^2, -1*E(9)^-4, -1*E(9)^-1, -1*E(9)^-2, -1*E(9), -1*E(9)^4, -1*E(9)^-4, -1*E(9)^-2, -1*E(9)^-1, -1*E(9), -1*E(9)^4], [1, 1, E(9)^3, E(9)^-3, 1, E(9)^3, E(9)^-3, -1, -1, E(9)^-3, E(9)^3, 1, E(9)^-3, E(9)^3, E(9)^-4, E(9)^4, E(9)^-2, E(9)^2, E(9), E(9)^-1, 1, E(9)^3, E(9)^-1, E(9)^-2, E(9)^-3, E(9)^4, E(9)^2, E(9), E(9)^-4, -1*E(9)^-3, -1*E(9)^3, -1*E(9)^3, -1*E(9)^-3, E(9)^4, E(9), E(9)^-2, E(9)^-4, E(9)^2, E(9)^-1, E(9)^-4, E(9)^2, 1, E(9), E(9)^-3, E(9)^4, E(9)^-2, E(9)^-1, E(9)^3, -1*E(9)^-2, -1*E(9)^-2, -1*E(9)^4, -1*E(9), -1*E(9)^2, -1*E(9)^-1, -1*E(9)^-4, -1*E(9)^4, -1*E(9)^2, -1*E(9), -1*E(9)^-1, -1*E(9)^-4], [1, 1, E(9)^-3, E(9)^3, 1, E(9)^-3, E(9)^3, -1, -1, E(9)^3, E(9)^-3, 1, E(9)^3, E(9)^-3, E(9)^-2, E(9)^2, E(9)^-1, E(9), E(9)^-4, E(9)^4, 1, E(9)^-3, E(9)^4, E(9)^-1, E(9)^3, E(9)^2, E(9), E(9)^-4, E(9)^-2, -1*E(9)^3, -1*E(9)^-3, -1*E(9)^-3, -1*E(9)^3, E(9)^2, E(9)^-4, E(9)^-1, E(9)^-2, E(9), E(9)^4, E(9)^-2, E(9), 1, E(9)^-4, E(9)^3, E(9)^2, E(9)^-1, E(9)^4, E(9)^-3, -1*E(9)^-1, -1*E(9)^-1, -1*E(9)^2, -1*E(9)^-4, -1*E(9), -1*E(9)^4, -1*E(9)^-2, -1*E(9)^2, -1*E(9), -1*E(9)^-4, -1*E(9)^4, -1*E(9)^-2], [1, 1, E(9)^3, E(9)^-3, 1, E(9)^3, E(9)^-3, -1, -1, E(9)^-3, E(9)^3, 1, E(9)^-3, E(9)^3, E(9)^2, E(9)^-2, E(9), E(9)^-1, E(9)^4, E(9)^-4, 1, E(9)^3, E(9)^-4, E(9), E(9)^-3, E(9)^-2, E(9)^-1, E(9)^4, E(9)^2, -1*E(9)^-3, -1*E(9)^3, -1*E(9)^3, -1*E(9)^-3, E(9)^-2, E(9)^4, E(9), E(9)^2, E(9)^-1, E(9)^-4, E(9)^2, E(9)^-1, 1, E(9)^4, E(9)^-3, E(9)^-2, E(9), E(9)^-4, E(9)^3, -1*E(9), -1*E(9), -1*E(9)^-2, -1*E(9)^4, -1*E(9)^-1, -1*E(9)^-4, -1*E(9)^2, -1*E(9)^-2, -1*E(9)^-1, -1*E(9)^4, -1*E(9)^-4, -1*E(9)^2], [1, 1, E(9)^-3, E(9)^3, 1, E(9)^-3, E(9)^3, -1, -1, E(9)^3, E(9)^-3, 1, E(9)^3, E(9)^-3, E(9), E(9)^-1, E(9)^-4, E(9)^4, E(9)^2, E(9)^-2, 1, E(9)^-3, E(9)^-2, E(9)^-4, E(9)^3, E(9)^-1, E(9)^4, E(9)^2, E(9), -1*E(9)^3, -1*E(9)^-3, -1*E(9)^-3, -1*E(9)^3, E(9)^-1, E(9)^2, E(9)^-4, E(9), E(9)^4, E(9)^-2, E(9), E(9)^4, 1, E(9)^2, E(9)^3, E(9)^-1, E(9)^-4, E(9)^-2, E(9)^-3, -1*E(9)^-4, -1*E(9)^-4, -1*E(9)^-1, -1*E(9)^2, -1*E(9)^4, -1*E(9)^-2, -1*E(9), -1*E(9)^-1, -1*E(9)^4, -1*E(9)^2, -1*E(9)^-2, -1*E(9)], [1, 1, E(9)^3, E(9)^-3, 1, E(9)^3, E(9)^-3, -1, -1, E(9)^-3, E(9)^3, 1, E(9)^-3, E(9)^3, E(9)^-1, E(9), E(9)^4, E(9)^-4, E(9)^-2, E(9)^2, 1, E(9)^3, E(9)^2, E(9)^4, E(9)^-3, E(9), E(9)^-4, E(9)^-2, E(9)^-1, -1*E(9)^-3, -1*E(9)^3, -1*E(9)^3, -1*E(9)^-3, E(9), E(9)^-2, E(9)^4, E(9)^-1, E(9)^-4, E(9)^2, E(9)^-1, E(9)^-4, 1, E(9)^-2, E(9)^-3, E(9), E(9)^4, E(9)^2, E(9)^3, -1*E(9)^4, -1*E(9)^4, -1*E(9), -1*E(9)^-2, -1*E(9)^-4, -1*E(9)^2, -1*E(9)^-1, -1*E(9), -1*E(9)^-4, -1*E(9)^-2, -1*E(9)^2, -1*E(9)^-1], [1, -1, -1*E(36)^6, E(36)^12, 1, -1*E(36)^6, E(36)^12, -1*E(36)^9, E(36)^9, -1*E(36)^12, E(36)^6, -1, -1*E(36)^12, E(36)^6, E(36)^16, -1*E(36)^2, E(36)^8, -1*E(36)^10, -1*E(36)^14, E(36)^4, 1, -1*E(36)^6, E(36)^4, E(36)^8, E(36)^12, -1*E(36)^2, -1*E(36)^10, -1*E(36)^14, E(36)^16, E(36)^3, -1*E(36)^15, E(36)^15, -1*E(36)^3, E(36)^2, E(36)^14, -1*E(36)^8, -1*E(36)^16, E(36)^10, -1*E(36)^4, -1*E(36)^16, E(36)^10, -1, E(36)^14, -1*E(36)^12, E(36)^2, -1*E(36)^8, -1*E(36)^4, E(36)^6, -1*E(36)^17, E(36)^17, -1*E(36)^11, -1*E(36)^5, E(36), -1*E(36)^13, E(36)^7, E(36)^11, -1*E(36), E(36)^5, E(36)^13, -1*E(36)^7], [1, -1, E(36)^12, -1*E(36)^6, 1, E(36)^12, -1*E(36)^6, E(36)^9, -1*E(36)^9, E(36)^6, -1*E(36)^12, -1, E(36)^6, -1*E(36)^12, -1*E(36)^2, E(36)^16, -1*E(36)^10, E(36)^8, E(36)^4, -1*E(36)^14, 1, E(36)^12, -1*E(36)^14, -1*E(36)^10, -1*E(36)^6, E(36)^16, E(36)^8, E(36)^4, -1*E(36)^2, -1*E(36)^15, E(36)^3, -1*E(36)^3, E(36)^15, -1*E(36)^16, -1*E(36)^4, E(36)^10, E(36)^2, -1*E(36)^8, E(36)^14, E(36)^2, -1*E(36)^8, -1, -1*E(36)^4, E(36)^6, -1*E(36)^16, E(36)^10, E(36)^14, -1*E(36)^12, E(36), -1*E(36), E(36)^7, E(36)^13, -1*E(36)^17, E(36)^5, -1*E(36)^11, -1*E(36)^7, E(36)^17, -1*E(36)^13, -1*E(36)^5, E(36)^11], [1, -1, -1*E(36)^6, E(36)^12, 1, -1*E(36)^6, E(36)^12, -1*E(36)^9, E(36)^9, -1*E(36)^12, E(36)^6, -1, -1*E(36)^12, E(36)^6, -1*E(36)^10, E(36)^8, -1*E(36)^14, E(36)^4, -1*E(36)^2, E(36)^16, 1, -1*E(36)^6, E(36)^16, -1*E(36)^14, E(36)^12, E(36)^8, E(36)^4, -1*E(36)^2, -1*E(36)^10, E(36)^3, -1*E(36)^15, E(36)^15, -1*E(36)^3, -1*E(36)^8, E(36)^2, E(36)^14, E(36)^10, -1*E(36)^4, -1*E(36)^16, E(36)^10, -1*E(36)^4, -1, E(36)^2, -1*E(36)^12, -1*E(36)^8, E(36)^14, -1*E(36)^16, E(36)^6, -1*E(36)^5, E(36)^5, E(36)^17, E(36)^11, E(36)^13, E(36)^7, -1*E(36), -1*E(36)^17, -1*E(36)^13, -1*E(36)^11, -1*E(36)^7, E(36)], [1, -1, E(36)^12, -1*E(36)^6, 1, E(36)^12, -1*E(36)^6, E(36)^9, -1*E(36)^9, E(36)^6, -1*E(36)^12, -1, E(36)^6, -1*E(36)^12, E(36)^8, -1*E(36)^10, E(36)^4, -1*E(36)^14, E(36)^16, -1*E(36)^2, 1, E(36)^12, -1*E(36)^2, E(36)^4, -1*E(36)^6, -1*E(36)^10, -1*E(36)^14, E(36)^16, E(36)^8, -1*E(36)^15, E(36)^3, -1*E(36)^3, E(36)^15, E(36)^10, -1*E(36)^16, -1*E(36)^4, -1*E(36)^8, E(36)^14, E(36)^2, -1*E(36)^8, E(36)^14, -1, -1*E(36)^16, E(36)^6, E(36)^10, -1*E(36)^4, E(36)^2, -1*E(36)^12, E(36)^13, -1*E(36)^13, -1*E(36), -1*E(36)^7, -1*E(36)^5, -1*E(36)^11, E(36)^17, E(36), E(36)^5, E(36)^7, E(36)^11, -1*E(36)^17], [1, -1, -1*E(36)^6, E(36)^12, 1, -1*E(36)^6, E(36)^12, -1*E(36)^9, E(36)^9, -1*E(36)^12, E(36)^6, -1, -1*E(36)^12, E(36)^6, E(36)^4, -1*E(36)^14, -1*E(36)^2, E(36)^16, E(36)^8, -1*E(36)^10, 1, -1*E(36)^6, -1*E(36)^10, -1*E(36)^2, E(36)^12, -1*E(36)^14, E(36)^16, E(36)^8, E(36)^4, E(36)^3, -1*E(36)^15, E(36)^15, -1*E(36)^3, E(36)^14, -1*E(36)^8, E(36)^2, -1*E(36)^4, -1*E(36)^16, E(36)^10, -1*E(36)^4, -1*E(36)^16, -1, -1*E(36)^8, -1*E(36)^12, E(36)^14, E(36)^2, E(36)^10, E(36)^6, E(36)^11, -1*E(36)^11, E(36)^5, -1*E(36)^17, -1*E(36)^7, -1*E(36), -1*E(36)^13, -1*E(36)^5, E(36)^7, E(36)^17, E(36), E(36)^13], [1, -1, E(36)^12, -1*E(36)^6, 1, E(36)^12, -1*E(36)^6, E(36)^9, -1*E(36)^9, E(36)^6, -1*E(36)^12, -1, E(36)^6, -1*E(36)^12, -1*E(36)^14, E(36)^4, E(36)^16, -1*E(36)^2, -1*E(36)^10, E(36)^8, 1, E(36)^12, E(36)^8, E(36)^16, -1*E(36)^6, E(36)^4, -1*E(36)^2, -1*E(36)^10, -1*E(36)^14, -1*E(36)^15, E(36)^3, -1*E(36)^3, E(36)^15, -1*E(36)^4, E(36)^10, -1*E(36)^16, E(36)^14, E(36)^2, -1*E(36)^8, E(36)^14, E(36)^2, -1, E(36)^10, E(36)^6, -1*E(36)^4, -1*E(36)^16, -1*E(36)^8, -1*E(36)^12, -1*E(36)^7, E(36)^7, -1*E(36)^13, E(36), E(36)^11, E(36)^17, E(36)^5, E(36)^13, -1*E(36)^11, -1*E(36), -1*E(36)^17, -1*E(36)^5], [1, -1, -1*E(36)^6, E(36)^12, 1, -1*E(36)^6, E(36)^12, E(36)^9, -1*E(36)^9, -1*E(36)^12, E(36)^6, -1, -1*E(36)^12, E(36)^6, E(36)^16, -1*E(36)^2, E(36)^8, -1*E(36)^10, -1*E(36)^14, E(36)^4, 1, -1*E(36)^6, E(36)^4, E(36)^8, E(36)^12, -1*E(36)^2, -1*E(36)^10, -1*E(36)^14, E(36)^16, -1*E(36)^3, E(36)^15, -1*E(36)^15, E(36)^3, E(36)^2, E(36)^14, -1*E(36)^8, -1*E(36)^16, E(36)^10, -1*E(36)^4, -1*E(36)^16, E(36)^10, -1, E(36)^14, -1*E(36)^12, E(36)^2, -1*E(36)^8, -1*E(36)^4, E(36)^6, E(36)^17, -1*E(36)^17, E(36)^11, E(36)^5, -1*E(36), E(36)^13, -1*E(36)^7, -1*E(36)^11, E(36), -1*E(36)^5, -1*E(36)^13, E(36)^7], [1, -1, E(36)^12, -1*E(36)^6, 1, E(36)^12, -1*E(36)^6, -1*E(36)^9, E(36)^9, E(36)^6, -1*E(36)^12, -1, E(36)^6, -1*E(36)^12, -1*E(36)^2, E(36)^16, -1*E(36)^10, E(36)^8, E(36)^4, -1*E(36)^14, 1, E(36)^12, -1*E(36)^14, -1*E(36)^10, -1*E(36)^6, E(36)^16, E(36)^8, E(36)^4, -1*E(36)^2, E(36)^15, -1*E(36)^3, E(36)^3, -1*E(36)^15, -1*E(36)^16, -1*E(36)^4, E(36)^10, E(36)^2, -1*E(36)^8, E(36)^14, E(36)^2, -1*E(36)^8, -1, -1*E(36)^4, E(36)^6, -1*E(36)^16, E(36)^10, E(36)^14, -1*E(36)^12, -1*E(36), E(36), -1*E(36)^7, -1*E(36)^13, E(36)^17, -1*E(36)^5, E(36)^11, E(36)^7, -1*E(36)^17, E(36)^13, E(36)^5, -1*E(36)^11], [1, -1, -1*E(36)^6, E(36)^12, 1, -1*E(36)^6, E(36)^12, E(36)^9, -1*E(36)^9, -1*E(36)^12, E(36)^6, -1, -1*E(36)^12, E(36)^6, -1*E(36)^10, E(36)^8, -1*E(36)^14, E(36)^4, -1*E(36)^2, E(36)^16, 1, -1*E(36)^6, E(36)^16, -1*E(36)^14, E(36)^12, E(36)^8, E(36)^4, -1*E(36)^2, -1*E(36)^10, -1*E(36)^3, E(36)^15, -1*E(36)^15, E(36)^3, -1*E(36)^8, E(36)^2, E(36)^14, E(36)^10, -1*E(36)^4, -1*E(36)^16, E(36)^10, -1*E(36)^4, -1, E(36)^2, -1*E(36)^12, -1*E(36)^8, E(36)^14, -1*E(36)^16, E(36)^6, E(36)^5, -1*E(36)^5, -1*E(36)^17, -1*E(36)^11, -1*E(36)^13, -1*E(36)^7, E(36), E(36)^17, E(36)^13, E(36)^11, E(36)^7, -1*E(36)], [1, -1, E(36)^12, -1*E(36)^6, 1, E(36)^12, -1*E(36)^6, -1*E(36)^9, E(36)^9, E(36)^6, -1*E(36)^12, -1, E(36)^6, -1*E(36)^12, E(36)^8, -1*E(36)^10, E(36)^4, -1*E(36)^14, E(36)^16, -1*E(36)^2, 1, E(36)^12, -1*E(36)^2, E(36)^4, -1*E(36)^6, -1*E(36)^10, -1*E(36)^14, E(36)^16, E(36)^8, E(36)^15, -1*E(36)^3, E(36)^3, -1*E(36)^15, E(36)^10, -1*E(36)^16, -1*E(36)^4, -1*E(36)^8, E(36)^14, E(36)^2, -1*E(36)^8, E(36)^14, -1, -1*E(36)^16, E(36)^6, E(36)^10, -1*E(36)^4, E(36)^2, -1*E(36)^12, -1*E(36)^13, E(36)^13, E(36), E(36)^7, E(36)^5, E(36)^11, -1*E(36)^17, -1*E(36), -1*E(36)^5, -1*E(36)^7, -1*E(36)^11, E(36)^17], [1, -1, -1*E(36)^6, E(36)^12, 1, -1*E(36)^6, E(36)^12, E(36)^9, -1*E(36)^9, -1*E(36)^12, E(36)^6, -1, -1*E(36)^12, E(36)^6, E(36)^4, -1*E(36)^14, -1*E(36)^2, E(36)^16, E(36)^8, -1*E(36)^10, 1, -1*E(36)^6, -1*E(36)^10, -1*E(36)^2, E(36)^12, -1*E(36)^14, E(36)^16, E(36)^8, E(36)^4, -1*E(36)^3, E(36)^15, -1*E(36)^15, E(36)^3, E(36)^14, -1*E(36)^8, E(36)^2, -1*E(36)^4, -1*E(36)^16, E(36)^10, -1*E(36)^4, -1*E(36)^16, -1, -1*E(36)^8, -1*E(36)^12, E(36)^14, E(36)^2, E(36)^10, E(36)^6, -1*E(36)^11, E(36)^11, -1*E(36)^5, E(36)^17, E(36)^7, E(36), E(36)^13, E(36)^5, -1*E(36)^7, -1*E(36)^17, -1*E(36), -1*E(36)^13], [1, -1, E(36)^12, -1*E(36)^6, 1, E(36)^12, -1*E(36)^6, -1*E(36)^9, E(36)^9, E(36)^6, -1*E(36)^12, -1, E(36)^6, -1*E(36)^12, -1*E(36)^14, E(36)^4, E(36)^16, -1*E(36)^2, -1*E(36)^10, E(36)^8, 1, E(36)^12, E(36)^8, E(36)^16, -1*E(36)^6, E(36)^4, -1*E(36)^2, -1*E(36)^10, -1*E(36)^14, E(36)^15, -1*E(36)^3, E(36)^3, -1*E(36)^15, -1*E(36)^4, E(36)^10, -1*E(36)^16, E(36)^14, E(36)^2, -1*E(36)^8, E(36)^14, E(36)^2, -1, E(36)^10, E(36)^6, -1*E(36)^4, -1*E(36)^16, -1*E(36)^8, -1*E(36)^12, E(36)^7, -1*E(36)^7, E(36)^13, -1*E(36), -1*E(36)^11, -1*E(36)^17, -1*E(36)^5, -1*E(36)^13, E(36)^11, E(36), E(36)^17, E(36)^5], [2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, 2, 2, 2, 2, 0, 0, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3)^-1, -1, -1, -1*E(3)^-1, -1*E(3), -1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, 2*E(3), 2*E(3), 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1, -1*E(3), -1, -1*E(3), -1*E(3), -1*E(3)^-1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3), -1, -1, -1*E(3), -1*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 2*E(3)^-1, 2*E(3)^-1, 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3), -1*E(3), -1*E(3), -1, -1*E(3)^-1, -1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, 2, 2, 2, 2, 0, 0, -2, -2, -2, -2, -2, 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3)^-1, -1, -1, -1*E(3)^-1, -1*E(3), -1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, -2*E(3), -2*E(3), -2*E(3), -2*E(3)^-1, -2*E(3)^-1, -2*E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3), 1, E(3), E(3), E(3)^-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, 2, 2, 2, 2, 0, 0, -2, -2, -2, -2, -2, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3), -1, -1, -1*E(3), -1*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, -2*E(3)^-1, -2*E(3)^-1, -2*E(3)^-1, -2*E(3), -2*E(3), -2*E(3), E(3), E(3), 1, E(3)^-1, 1, E(3)^-1, E(3)^-1, E(3), 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2*E(9)^-3, 2*E(9)^3, 2, 2*E(9)^-3, 2*E(9)^3, 0, 0, 2*E(9)^3, 2*E(9)^-3, 2, 2*E(9)^3, 2*E(9)^-3, 2*E(9)^4, 2*E(9)^-4, 2*E(9)^2, 2*E(9)^-2, 2*E(9)^-1, 2*E(9), -1, -1*E(9)^-3, -1*E(9), -1*E(9)^2, -1*E(9)^3, -1*E(9)^-4, -1*E(9)^-2, -1*E(9)^-1, -1*E(9)^4, 0, 0, 0, 0, 2*E(9)^-4, 2*E(9)^-1, 2*E(9)^2, 2*E(9)^4, 2*E(9)^-2, 2*E(9), -1*E(9)^4, -1*E(9)^-2, -1, -1*E(9)^-1, -1*E(9)^3, -1*E(9)^-4, -1*E(9)^2, -1*E(9), -1*E(9)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2*E(9)^3, 2*E(9)^-3, 2, 2*E(9)^3, 2*E(9)^-3, 0, 0, 2*E(9)^-3, 2*E(9)^3, 2, 2*E(9)^-3, 2*E(9)^3, 2*E(9)^-4, 2*E(9)^4, 2*E(9)^-2, 2*E(9)^2, 2*E(9), 2*E(9)^-1, -1, -1*E(9)^3, -1*E(9)^-1, -1*E(9)^-2, -1*E(9)^-3, -1*E(9)^4, -1*E(9)^2, -1*E(9), -1*E(9)^-4, 0, 0, 0, 0, 2*E(9)^4, 2*E(9), 2*E(9)^-2, 2*E(9)^-4, 2*E(9)^2, 2*E(9)^-1, -1*E(9)^-4, -1*E(9)^2, -1, -1*E(9), -1*E(9)^-3, -1*E(9)^4, -1*E(9)^-2, -1*E(9)^-1, -1*E(9)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2*E(9)^-3, 2*E(9)^3, 2, 2*E(9)^-3, 2*E(9)^3, 0, 0, 2*E(9)^3, 2*E(9)^-3, 2, 2*E(9)^3, 2*E(9)^-3, 2*E(9)^-2, 2*E(9)^2, 2*E(9)^-1, 2*E(9), 2*E(9)^-4, 2*E(9)^4, -1, -1*E(9)^-3, -1*E(9)^4, -1*E(9)^-1, -1*E(9)^3, -1*E(9)^2, -1*E(9), -1*E(9)^-4, -1*E(9)^-2, 0, 0, 0, 0, 2*E(9)^2, 2*E(9)^-4, 2*E(9)^-1, 2*E(9)^-2, 2*E(9), 2*E(9)^4, -1*E(9)^-2, -1*E(9), -1, -1*E(9)^-4, -1*E(9)^3, -1*E(9)^2, -1*E(9)^-1, -1*E(9)^4, -1*E(9)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2*E(9)^3, 2*E(9)^-3, 2, 2*E(9)^3, 2*E(9)^-3, 0, 0, 2*E(9)^-3, 2*E(9)^3, 2, 2*E(9)^-3, 2*E(9)^3, 2*E(9)^2, 2*E(9)^-2, 2*E(9), 2*E(9)^-1, 2*E(9)^4, 2*E(9)^-4, -1, -1*E(9)^3, -1*E(9)^-4, -1*E(9), -1*E(9)^-3, -1*E(9)^-2, -1*E(9)^-1, -1*E(9)^4, -1*E(9)^2, 0, 0, 0, 0, 2*E(9)^-2, 2*E(9)^4, 2*E(9), 2*E(9)^2, 2*E(9)^-1, 2*E(9)^-4, -1*E(9)^2, -1*E(9)^-1, -1, -1*E(9)^4, -1*E(9)^-3, -1*E(9)^-2, -1*E(9), -1*E(9)^-4, -1*E(9)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2*E(9)^-3, 2*E(9)^3, 2, 2*E(9)^-3, 2*E(9)^3, 0, 0, 2*E(9)^3, 2*E(9)^-3, 2, 2*E(9)^3, 2*E(9)^-3, 2*E(9), 2*E(9)^-1, 2*E(9)^-4, 2*E(9)^4, 2*E(9)^2, 2*E(9)^-2, -1, -1*E(9)^-3, -1*E(9)^-2, -1*E(9)^-4, -1*E(9)^3, -1*E(9)^-1, -1*E(9)^4, -1*E(9)^2, -1*E(9), 0, 0, 0, 0, 2*E(9)^-1, 2*E(9)^2, 2*E(9)^-4, 2*E(9), 2*E(9)^4, 2*E(9)^-2, -1*E(9), -1*E(9)^4, -1, -1*E(9)^2, -1*E(9)^3, -1*E(9)^-1, -1*E(9)^-4, -1*E(9)^-2, -1*E(9)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2*E(9)^3, 2*E(9)^-3, 2, 2*E(9)^3, 2*E(9)^-3, 0, 0, 2*E(9)^-3, 2*E(9)^3, 2, 2*E(9)^-3, 2*E(9)^3, 2*E(9)^-1, 2*E(9), 2*E(9)^4, 2*E(9)^-4, 2*E(9)^-2, 2*E(9)^2, -1, -1*E(9)^3, -1*E(9)^2, -1*E(9)^4, -1*E(9)^-3, -1*E(9), -1*E(9)^-4, -1*E(9)^-2, -1*E(9)^-1, 0, 0, 0, 0, 2*E(9), 2*E(9)^-2, 2*E(9)^4, 2*E(9)^-1, 2*E(9)^-4, 2*E(9)^2, -1*E(9)^-1, -1*E(9)^-4, -1, -1*E(9)^-2, -1*E(9)^-3, -1*E(9), -1*E(9)^4, -1*E(9)^2, -1*E(9)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2*E(9)^-3, 2*E(9)^3, 2, 2*E(9)^-3, 2*E(9)^3, 0, 0, -2*E(9)^3, -2*E(9)^-3, -2, -2*E(9)^3, -2*E(9)^-3, 2*E(9)^4, 2*E(9)^-4, 2*E(9)^2, 2*E(9)^-2, 2*E(9)^-1, 2*E(9), -1, -1*E(9)^-3, -1*E(9), -1*E(9)^2, -1*E(9)^3, -1*E(9)^-4, -1*E(9)^-2, -1*E(9)^-1, -1*E(9)^4, 0, 0, 0, 0, -2*E(9)^-4, -2*E(9)^-1, -2*E(9)^2, -2*E(9)^4, -2*E(9)^-2, -2*E(9), E(9)^4, E(9)^-2, 1, E(9)^-1, E(9)^3, E(9)^-4, E(9)^2, E(9), E(9)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2*E(9)^3, 2*E(9)^-3, 2, 2*E(9)^3, 2*E(9)^-3, 0, 0, -2*E(9)^-3, -2*E(9)^3, -2, -2*E(9)^-3, -2*E(9)^3, 2*E(9)^-4, 2*E(9)^4, 2*E(9)^-2, 2*E(9)^2, 2*E(9), 2*E(9)^-1, -1, -1*E(9)^3, -1*E(9)^-1, -1*E(9)^-2, -1*E(9)^-3, -1*E(9)^4, -1*E(9)^2, -1*E(9), -1*E(9)^-4, 0, 0, 0, 0, -2*E(9)^4, -2*E(9), -2*E(9)^-2, -2*E(9)^-4, -2*E(9)^2, -2*E(9)^-1, E(9)^-4, E(9)^2, 1, E(9), E(9)^-3, E(9)^4, E(9)^-2, E(9)^-1, E(9)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2*E(9)^-3, 2*E(9)^3, 2, 2*E(9)^-3, 2*E(9)^3, 0, 0, -2*E(9)^3, -2*E(9)^-3, -2, -2*E(9)^3, -2*E(9)^-3, 2*E(9)^-2, 2*E(9)^2, 2*E(9)^-1, 2*E(9), 2*E(9)^-4, 2*E(9)^4, -1, -1*E(9)^-3, -1*E(9)^4, -1*E(9)^-1, -1*E(9)^3, -1*E(9)^2, -1*E(9), -1*E(9)^-4, -1*E(9)^-2, 0, 0, 0, 0, -2*E(9)^2, -2*E(9)^-4, -2*E(9)^-1, -2*E(9)^-2, -2*E(9), -2*E(9)^4, E(9)^-2, E(9), 1, E(9)^-4, E(9)^3, E(9)^2, E(9)^-1, E(9)^4, E(9)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2*E(9)^3, 2*E(9)^-3, 2, 2*E(9)^3, 2*E(9)^-3, 0, 0, -2*E(9)^-3, -2*E(9)^3, -2, -2*E(9)^-3, -2*E(9)^3, 2*E(9)^2, 2*E(9)^-2, 2*E(9), 2*E(9)^-1, 2*E(9)^4, 2*E(9)^-4, -1, -1*E(9)^3, -1*E(9)^-4, -1*E(9), -1*E(9)^-3, -1*E(9)^-2, -1*E(9)^-1, -1*E(9)^4, -1*E(9)^2, 0, 0, 0, 0, -2*E(9)^-2, -2*E(9)^4, -2*E(9), -2*E(9)^2, -2*E(9)^-1, -2*E(9)^-4, E(9)^2, E(9)^-1, 1, E(9)^4, E(9)^-3, E(9)^-2, E(9), E(9)^-4, E(9)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2*E(9)^-3, 2*E(9)^3, 2, 2*E(9)^-3, 2*E(9)^3, 0, 0, -2*E(9)^3, -2*E(9)^-3, -2, -2*E(9)^3, -2*E(9)^-3, 2*E(9), 2*E(9)^-1, 2*E(9)^-4, 2*E(9)^4, 2*E(9)^2, 2*E(9)^-2, -1, -1*E(9)^-3, -1*E(9)^-2, -1*E(9)^-4, -1*E(9)^3, -1*E(9)^-1, -1*E(9)^4, -1*E(9)^2, -1*E(9), 0, 0, 0, 0, -2*E(9)^-1, -2*E(9)^2, -2*E(9)^-4, -2*E(9), -2*E(9)^4, -2*E(9)^-2, E(9), E(9)^4, 1, E(9)^2, E(9)^3, E(9)^-1, E(9)^-4, E(9)^-2, E(9)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2*E(9)^3, 2*E(9)^-3, 2, 2*E(9)^3, 2*E(9)^-3, 0, 0, -2*E(9)^-3, -2*E(9)^3, -2, -2*E(9)^-3, -2*E(9)^3, 2*E(9)^-1, 2*E(9), 2*E(9)^4, 2*E(9)^-4, 2*E(9)^-2, 2*E(9)^2, -1, -1*E(9)^3, -1*E(9)^2, -1*E(9)^4, -1*E(9)^-3, -1*E(9), -1*E(9)^-4, -1*E(9)^-2, -1*E(9)^-1, 0, 0, 0, 0, -2*E(9), -2*E(9)^-2, -2*E(9)^4, -2*E(9)^-1, -2*E(9)^-4, -2*E(9)^2, E(9)^-1, E(9)^-4, 1, E(9)^-2, E(9)^-3, E(9), E(9)^4, E(9)^2, E(9)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, -3, -3, -3, 0, 0, 6, 6, -3, -3, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, -6, 6, 6, -3, -3, -3, 0, 0, -6, -6, 3, 3, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6*E(3)^-1, 6*E(3), -3, -3*E(3)^-1, -3*E(3), 0, 0, 6*E(3), 6*E(3)^-1, -3, -3*E(3), -3*E(3)^-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], [6, 6, 6*E(3), 6*E(3)^-1, -3, -3*E(3), -3*E(3)^-1, 0, 0, 6*E(3)^-1, 6*E(3), -3, -3*E(3)^-1, -3*E(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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, -6, 6*E(3)^-1, 6*E(3), -3, -3*E(3)^-1, -3*E(3), 0, 0, -6*E(3), -6*E(3)^-1, 3, 3*E(3), 3*E(3)^-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], [6, -6, 6*E(3), 6*E(3)^-1, -3, -3*E(3), -3*E(3)^-1, 0, 0, -6*E(3)^-1, -6*E(3), 3, 3*E(3)^-1, 3*E(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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_324_9);