# Group 486.61 downloaded from the LMFDB on 19 July 2026. ## 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(7784473060374509901621087519,486); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.5; GPerm := Group( (10,19)(11,20)(12,21)(13,22)(14,23)(15,24)(16,25)(17,26)(18,27), (1,18,27)(2,16,25)(3,17,26)(4,11,20)(5,12,21)(6,10,19)(7,14,23)(8,15,24)(9,13,22), (1,19,10)(2,20,11)(3,21,12)(4,22,13)(5,23,14)(6,24,15)(7,25,16)(8,26,17)(9,27,18), (1,8,5,2,9,6,3,7,4)(10,18,13,11,16,14,12,17,15)(19,27,22,20,25,23,21,26,24), (1,2,3)(4,5,6)(7,8,9)(10,12,11)(13,15,14)(16,18,17), (1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17)(19,21,20)(22,24,23)(25,27,26) ); # Booleans booleans_486_61 := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := false, metacyclic := false, monomial := true, nilpotent := false, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := true); # Character Table chartbl_486_61:=rec(); chartbl_486_61.IsFinite:= true; chartbl_486_61.UnderlyingCharacteristic:= 0; chartbl_486_61.UnderlyingGroup:= GPC; chartbl_486_61.Size:= 486; chartbl_486_61.InfoText:= "Character table for group 486.61 downloaded from the LMFDB."; chartbl_486_61.Identifier:= " C9^2:S3 "; chartbl_486_61.NrConjugacyClasses:= 31; chartbl_486_61.ConjugacyClasses:= [ of ..., f1*f2^2*f3^2*f4*f5, f4, f4^2, f6, f2^2*f5^2*f6, f2*f3*f6, f2*f4^2*f5^2*f6^2, f1*f2^2*f3^2*f5, f1*f2^2*f3^2*f4^2*f5, f3*f4*f6, f3^2*f4*f6^2, f3^2*f4^2*f6^2, f3*f6, f3*f4^2*f6, f3^2*f6^2, f5, f5^2, f5*f6, f4*f5, f4^2*f5, f3*f5, f4*f5^2, f3^2*f5^2, f4^2*f5*f6, f1*f2^2*f3*f4^2*f5*f6^2, f1*f2^2*f4*f5*f6, f1*f2^2*f4^2*f5*f6, f1*f2^2*f3*f4*f5*f6^2, f1*f2^2*f3*f5*f6^2, f1*f2^2*f5*f6]; chartbl_486_61.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]; chartbl_486_61.ComputedPowerMaps:= [ , [1, 1, 4, 3, 5, 6, 7, 8, 3, 4, 13, 14, 15, 16, 12, 11, 18, 19, 17, 22, 23, 24, 25, 21, 20, 11, 12, 16, 15, 14, 13], [1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 10, 10, 9, 9, 10]]; chartbl_486_61.SizesCentralizers:= [486, 18, 486, 486, 81, 9, 9, 9, 18, 18, 162, 162, 162, 162, 162, 162, 81, 81, 81, 81, 81, 81, 81, 81, 81, 18, 18, 18, 18, 18, 18]; chartbl_486_61.ClassNames:= ["1A", "2A", "3A1", "3A-1", "3B", "3C", "3D", "3E", "6A1", "6A-1", "9A1", "9A-1", "9A2", "9A-2", "9A4", "9A-4", "9B1", "9B2", "9B4", "9C1", "9C-1", "9C2", "9C-2", "9C4", "9C-4", "18A1", "18A-1", "18A5", "18A-5", "18A7", "18A-7"]; chartbl_486_61.OrderClassRepresentatives:= [1, 2, 3, 3, 3, 3, 3, 3, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 18, 18, 18, 18, 18]; chartbl_486_61.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], [2, 0, 2, 2, 2, -1, -1, -1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0], [2, 0, 2, 2, 2, -1, -1, 2, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0], [2, 0, 2, 2, 2, -1, 2, -1, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0], [2, 0, 2, 2, 2, 2, -1, -1, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0], [3, 1, 3, 3, 3, 0, 0, 0, 1, 1, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1], [3, 1, 3, 3, 3, 0, 0, 0, 1, 1, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)], [3, -1, 3, 3, 3, 0, 0, 0, -1, -1, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1], [3, -1, 3, 3, 3, 0, 0, 0, -1, -1, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3)], [3, 1, 3*E(9)^-3, 3*E(9)^3, 0, 0, 0, 0, E(9)^3, E(9)^-3, E(9)+2*E(9)^4, -2*E(9)-E(9)^4, -1*E(9)^2-2*E(9)^-4, -1*E(9)^2+E(9)^-4, 2*E(9)^2+E(9)^-4, E(9)-E(9)^4, E(9)^3+E(9)^-2+E(9)^-1, -1+E(9)+E(9)^2-E(9)^3, 1-E(9)+E(9)^2-E(9)^4, E(9)^2+E(9)^3+E(9)^4, 1+E(9)-E(9)^2-E(9)^-4, E(9)+E(9)^3+E(9)^-4, -1-E(9)-E(9)^3-E(9)^4+E(9)^-4, 1+E(9)^4+E(9)^-4, -1-E(9)^2-E(9)^3+E(9)^4-E(9)^-4, E(9)^2, E(9), E(9)^-4, E(9)^-1, E(9)^4, E(9)^-2], [3, 1, 3*E(9)^3, 3*E(9)^-3, 0, 0, 0, 0, E(9)^-3, E(9)^3, -1*E(9)^2+E(9)^-4, 2*E(9)^2+E(9)^-4, E(9)-E(9)^4, E(9)+2*E(9)^4, -2*E(9)-E(9)^4, -1*E(9)^2-2*E(9)^-4, -1+E(9)+E(9)^2-E(9)^3, E(9)^3+E(9)^-2+E(9)^-1, 1-E(9)+E(9)^2-E(9)^4, -1-E(9)-E(9)^3-E(9)^4+E(9)^-4, 1+E(9)-E(9)^2-E(9)^-4, -1-E(9)^2-E(9)^3+E(9)^4-E(9)^-4, E(9)^2+E(9)^3+E(9)^4, 1+E(9)^4+E(9)^-4, E(9)+E(9)^3+E(9)^-4, E(9)^-2, E(9)^-1, E(9)^4, E(9), E(9)^-4, E(9)^2], [3, 1, 3*E(9)^-3, 3*E(9)^3, 0, 0, 0, 0, E(9)^3, E(9)^-3, -2*E(9)-E(9)^4, E(9)-E(9)^4, -1*E(9)^2+E(9)^-4, 2*E(9)^2+E(9)^-4, -1*E(9)^2-2*E(9)^-4, E(9)+2*E(9)^4, E(9)+E(9)^3+E(9)^-4, -1-E(9)^2-E(9)^3+E(9)^4-E(9)^-4, 1+E(9)-E(9)^2-E(9)^-4, E(9)^3+E(9)^-2+E(9)^-1, 1+E(9)^4+E(9)^-4, E(9)^2+E(9)^3+E(9)^4, -1+E(9)+E(9)^2-E(9)^3, 1-E(9)+E(9)^2-E(9)^4, -1-E(9)-E(9)^3-E(9)^4+E(9)^-4, E(9)^-1, E(9)^4, E(9)^2, E(9)^-4, E(9)^-2, E(9)], [3, 1, 3*E(9)^3, 3*E(9)^-3, 0, 0, 0, 0, E(9)^-3, E(9)^3, 2*E(9)^2+E(9)^-4, -1*E(9)^2-2*E(9)^-4, E(9)+2*E(9)^4, -2*E(9)-E(9)^4, E(9)-E(9)^4, -1*E(9)^2+E(9)^-4, -1-E(9)^2-E(9)^3+E(9)^4-E(9)^-4, E(9)+E(9)^3+E(9)^-4, 1+E(9)-E(9)^2-E(9)^-4, -1+E(9)+E(9)^2-E(9)^3, 1+E(9)^4+E(9)^-4, -1-E(9)-E(9)^3-E(9)^4+E(9)^-4, E(9)^3+E(9)^-2+E(9)^-1, 1-E(9)+E(9)^2-E(9)^4, E(9)^2+E(9)^3+E(9)^4, E(9), E(9)^-4, E(9)^-2, E(9)^4, E(9)^2, E(9)^-1], [3, 1, 3*E(9)^-3, 3*E(9)^3, 0, 0, 0, 0, E(9)^3, E(9)^-3, E(9)-E(9)^4, E(9)+2*E(9)^4, 2*E(9)^2+E(9)^-4, -1*E(9)^2-2*E(9)^-4, -1*E(9)^2+E(9)^-4, -2*E(9)-E(9)^4, E(9)^2+E(9)^3+E(9)^4, -1-E(9)-E(9)^3-E(9)^4+E(9)^-4, 1+E(9)^4+E(9)^-4, E(9)+E(9)^3+E(9)^-4, 1-E(9)+E(9)^2-E(9)^4, E(9)^3+E(9)^-2+E(9)^-1, -1-E(9)^2-E(9)^3+E(9)^4-E(9)^-4, 1+E(9)-E(9)^2-E(9)^-4, -1+E(9)+E(9)^2-E(9)^3, E(9)^-4, E(9)^-2, E(9)^-1, E(9)^2, E(9), E(9)^4], [3, 1, 3*E(9)^3, 3*E(9)^-3, 0, 0, 0, 0, E(9)^-3, E(9)^3, -1*E(9)^2-2*E(9)^-4, -1*E(9)^2+E(9)^-4, -2*E(9)-E(9)^4, E(9)-E(9)^4, E(9)+2*E(9)^4, 2*E(9)^2+E(9)^-4, -1-E(9)-E(9)^3-E(9)^4+E(9)^-4, E(9)^2+E(9)^3+E(9)^4, 1+E(9)^4+E(9)^-4, -1-E(9)^2-E(9)^3+E(9)^4-E(9)^-4, 1-E(9)+E(9)^2-E(9)^4, -1+E(9)+E(9)^2-E(9)^3, E(9)+E(9)^3+E(9)^-4, 1+E(9)-E(9)^2-E(9)^-4, E(9)^3+E(9)^-2+E(9)^-1, E(9)^4, E(9)^2, E(9), E(9)^-2, E(9)^-1, E(9)^-4], [3, -1, 3*E(9)^-3, 3*E(9)^3, 0, 0, 0, 0, -1*E(9)^3, -1*E(9)^-3, E(9)+2*E(9)^4, -2*E(9)-E(9)^4, -1*E(9)^2-2*E(9)^-4, -1*E(9)^2+E(9)^-4, 2*E(9)^2+E(9)^-4, E(9)-E(9)^4, E(9)^3+E(9)^-2+E(9)^-1, -1+E(9)+E(9)^2-E(9)^3, 1-E(9)+E(9)^2-E(9)^4, E(9)^2+E(9)^3+E(9)^4, 1+E(9)-E(9)^2-E(9)^-4, E(9)+E(9)^3+E(9)^-4, -1-E(9)-E(9)^3-E(9)^4+E(9)^-4, 1+E(9)^4+E(9)^-4, -1-E(9)^2-E(9)^3+E(9)^4-E(9)^-4, -1*E(9)^2, -1*E(9), -1*E(9)^-4, -1*E(9)^-1, -1*E(9)^4, -1*E(9)^-2], [3, -1, 3*E(9)^3, 3*E(9)^-3, 0, 0, 0, 0, -1*E(9)^-3, -1*E(9)^3, -1*E(9)^2+E(9)^-4, 2*E(9)^2+E(9)^-4, E(9)-E(9)^4, E(9)+2*E(9)^4, -2*E(9)-E(9)^4, -1*E(9)^2-2*E(9)^-4, -1+E(9)+E(9)^2-E(9)^3, E(9)^3+E(9)^-2+E(9)^-1, 1-E(9)+E(9)^2-E(9)^4, -1-E(9)-E(9)^3-E(9)^4+E(9)^-4, 1+E(9)-E(9)^2-E(9)^-4, -1-E(9)^2-E(9)^3+E(9)^4-E(9)^-4, E(9)^2+E(9)^3+E(9)^4, 1+E(9)^4+E(9)^-4, E(9)+E(9)^3+E(9)^-4, -1*E(9)^-2, -1*E(9)^-1, -1*E(9)^4, -1*E(9), -1*E(9)^-4, -1*E(9)^2], [3, -1, 3*E(9)^-3, 3*E(9)^3, 0, 0, 0, 0, -1*E(9)^3, -1*E(9)^-3, -2*E(9)-E(9)^4, E(9)-E(9)^4, -1*E(9)^2+E(9)^-4, 2*E(9)^2+E(9)^-4, -1*E(9)^2-2*E(9)^-4, E(9)+2*E(9)^4, E(9)+E(9)^3+E(9)^-4, -1-E(9)^2-E(9)^3+E(9)^4-E(9)^-4, 1+E(9)-E(9)^2-E(9)^-4, E(9)^3+E(9)^-2+E(9)^-1, 1+E(9)^4+E(9)^-4, E(9)^2+E(9)^3+E(9)^4, -1+E(9)+E(9)^2-E(9)^3, 1-E(9)+E(9)^2-E(9)^4, -1-E(9)-E(9)^3-E(9)^4+E(9)^-4, -1*E(9)^-1, -1*E(9)^4, -1*E(9)^2, -1*E(9)^-4, -1*E(9)^-2, -1*E(9)], [3, -1, 3*E(9)^3, 3*E(9)^-3, 0, 0, 0, 0, -1*E(9)^-3, -1*E(9)^3, 2*E(9)^2+E(9)^-4, -1*E(9)^2-2*E(9)^-4, E(9)+2*E(9)^4, -2*E(9)-E(9)^4, E(9)-E(9)^4, -1*E(9)^2+E(9)^-4, -1-E(9)^2-E(9)^3+E(9)^4-E(9)^-4, E(9)+E(9)^3+E(9)^-4, 1+E(9)-E(9)^2-E(9)^-4, -1+E(9)+E(9)^2-E(9)^3, 1+E(9)^4+E(9)^-4, -1-E(9)-E(9)^3-E(9)^4+E(9)^-4, E(9)^3+E(9)^-2+E(9)^-1, 1-E(9)+E(9)^2-E(9)^4, E(9)^2+E(9)^3+E(9)^4, -1*E(9), -1*E(9)^-4, -1*E(9)^-2, -1*E(9)^4, -1*E(9)^2, -1*E(9)^-1], [3, -1, 3*E(9)^-3, 3*E(9)^3, 0, 0, 0, 0, -1*E(9)^3, -1*E(9)^-3, E(9)-E(9)^4, E(9)+2*E(9)^4, 2*E(9)^2+E(9)^-4, -1*E(9)^2-2*E(9)^-4, -1*E(9)^2+E(9)^-4, -2*E(9)-E(9)^4, E(9)^2+E(9)^3+E(9)^4, -1-E(9)-E(9)^3-E(9)^4+E(9)^-4, 1+E(9)^4+E(9)^-4, E(9)+E(9)^3+E(9)^-4, 1-E(9)+E(9)^2-E(9)^4, E(9)^3+E(9)^-2+E(9)^-1, -1-E(9)^2-E(9)^3+E(9)^4-E(9)^-4, 1+E(9)-E(9)^2-E(9)^-4, -1+E(9)+E(9)^2-E(9)^3, -1*E(9)^-4, -1*E(9)^-2, -1*E(9)^-1, -1*E(9)^2, -1*E(9), -1*E(9)^4], [3, -1, 3*E(9)^3, 3*E(9)^-3, 0, 0, 0, 0, -1*E(9)^-3, -1*E(9)^3, -1*E(9)^2-2*E(9)^-4, -1*E(9)^2+E(9)^-4, -2*E(9)-E(9)^4, E(9)-E(9)^4, E(9)+2*E(9)^4, 2*E(9)^2+E(9)^-4, -1-E(9)-E(9)^3-E(9)^4+E(9)^-4, E(9)^2+E(9)^3+E(9)^4, 1+E(9)^4+E(9)^-4, -1-E(9)^2-E(9)^3+E(9)^4-E(9)^-4, 1-E(9)+E(9)^2-E(9)^4, -1+E(9)+E(9)^2-E(9)^3, E(9)+E(9)^3+E(9)^-4, 1+E(9)-E(9)^2-E(9)^-4, E(9)^3+E(9)^-2+E(9)^-1, -1*E(9)^4, -1*E(9)^2, -1*E(9), -1*E(9)^-2, -1*E(9)^-1, -1*E(9)^-4], [6, 0, 6, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, 0, 0, 0, 0, 0, 0], [6, 0, 6*E(9)^-3, 6*E(9)^3, 0, 0, 0, 0, 0, 0, 2*E(9)+4*E(9)^4, -4*E(9)-2*E(9)^4, -2*E(9)^2-4*E(9)^-4, -2*E(9)^2+2*E(9)^-4, 4*E(9)^2+2*E(9)^-4, 2*E(9)-2*E(9)^4, -1*E(9)^3-E(9)^-2-E(9)^-1, 1-E(9)-E(9)^2+E(9)^3, -1+E(9)-E(9)^2+E(9)^4, -1*E(9)^2-E(9)^3-E(9)^4, -1-E(9)+E(9)^2+E(9)^-4, -1*E(9)-E(9)^3-E(9)^-4, 1+E(9)+E(9)^3+E(9)^4-E(9)^-4, -1-E(9)^4-E(9)^-4, 1+E(9)^2+E(9)^3-E(9)^4+E(9)^-4, 0, 0, 0, 0, 0, 0], [6, 0, 6*E(9)^3, 6*E(9)^-3, 0, 0, 0, 0, 0, 0, -2*E(9)^2+2*E(9)^-4, 4*E(9)^2+2*E(9)^-4, 2*E(9)-2*E(9)^4, 2*E(9)+4*E(9)^4, -4*E(9)-2*E(9)^4, -2*E(9)^2-4*E(9)^-4, 1-E(9)-E(9)^2+E(9)^3, -1*E(9)^3-E(9)^-2-E(9)^-1, -1+E(9)-E(9)^2+E(9)^4, 1+E(9)+E(9)^3+E(9)^4-E(9)^-4, -1-E(9)+E(9)^2+E(9)^-4, 1+E(9)^2+E(9)^3-E(9)^4+E(9)^-4, -1*E(9)^2-E(9)^3-E(9)^4, -1-E(9)^4-E(9)^-4, -1*E(9)-E(9)^3-E(9)^-4, 0, 0, 0, 0, 0, 0], [6, 0, 6*E(9)^-3, 6*E(9)^3, 0, 0, 0, 0, 0, 0, -4*E(9)-2*E(9)^4, 2*E(9)-2*E(9)^4, -2*E(9)^2+2*E(9)^-4, 4*E(9)^2+2*E(9)^-4, -2*E(9)^2-4*E(9)^-4, 2*E(9)+4*E(9)^4, -1*E(9)-E(9)^3-E(9)^-4, 1+E(9)^2+E(9)^3-E(9)^4+E(9)^-4, -1-E(9)+E(9)^2+E(9)^-4, -1*E(9)^3-E(9)^-2-E(9)^-1, -1-E(9)^4-E(9)^-4, -1*E(9)^2-E(9)^3-E(9)^4, 1-E(9)-E(9)^2+E(9)^3, -1+E(9)-E(9)^2+E(9)^4, 1+E(9)+E(9)^3+E(9)^4-E(9)^-4, 0, 0, 0, 0, 0, 0], [6, 0, 6*E(9)^3, 6*E(9)^-3, 0, 0, 0, 0, 0, 0, 4*E(9)^2+2*E(9)^-4, -2*E(9)^2-4*E(9)^-4, 2*E(9)+4*E(9)^4, -4*E(9)-2*E(9)^4, 2*E(9)-2*E(9)^4, -2*E(9)^2+2*E(9)^-4, 1+E(9)^2+E(9)^3-E(9)^4+E(9)^-4, -1*E(9)-E(9)^3-E(9)^-4, -1-E(9)+E(9)^2+E(9)^-4, 1-E(9)-E(9)^2+E(9)^3, -1-E(9)^4-E(9)^-4, 1+E(9)+E(9)^3+E(9)^4-E(9)^-4, -1*E(9)^3-E(9)^-2-E(9)^-1, -1+E(9)-E(9)^2+E(9)^4, -1*E(9)^2-E(9)^3-E(9)^4, 0, 0, 0, 0, 0, 0], [6, 0, 6*E(9)^-3, 6*E(9)^3, 0, 0, 0, 0, 0, 0, 2*E(9)-2*E(9)^4, 2*E(9)+4*E(9)^4, 4*E(9)^2+2*E(9)^-4, -2*E(9)^2-4*E(9)^-4, -2*E(9)^2+2*E(9)^-4, -4*E(9)-2*E(9)^4, -1*E(9)^2-E(9)^3-E(9)^4, 1+E(9)+E(9)^3+E(9)^4-E(9)^-4, -1-E(9)^4-E(9)^-4, -1*E(9)-E(9)^3-E(9)^-4, -1+E(9)-E(9)^2+E(9)^4, -1*E(9)^3-E(9)^-2-E(9)^-1, 1+E(9)^2+E(9)^3-E(9)^4+E(9)^-4, -1-E(9)+E(9)^2+E(9)^-4, 1-E(9)-E(9)^2+E(9)^3, 0, 0, 0, 0, 0, 0], [6, 0, 6*E(9)^3, 6*E(9)^-3, 0, 0, 0, 0, 0, 0, -2*E(9)^2-4*E(9)^-4, -2*E(9)^2+2*E(9)^-4, -4*E(9)-2*E(9)^4, 2*E(9)-2*E(9)^4, 2*E(9)+4*E(9)^4, 4*E(9)^2+2*E(9)^-4, 1+E(9)+E(9)^3+E(9)^4-E(9)^-4, -1*E(9)^2-E(9)^3-E(9)^4, -1-E(9)^4-E(9)^-4, 1+E(9)^2+E(9)^3-E(9)^4+E(9)^-4, -1+E(9)-E(9)^2+E(9)^4, 1-E(9)-E(9)^2+E(9)^3, -1*E(9)-E(9)^3-E(9)^-4, -1-E(9)+E(9)^2+E(9)^-4, -1*E(9)^3-E(9)^-2-E(9)^-1, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_486_61);