# Group 50.2 downloaded from the LMFDB on 25 June 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(112847,50); a := GPC.1; GPerm := Group( (1,2), (3,27,22,17,12,7,26,21,16,11,6,25,20,15,10,5,24,19,14,9,4,23,18,13,8), (3,7,6,5,4)(8,12,11,10,9)(13,17,16,15,14)(18,22,21,20,19)(23,27,26,25,24) ); GLFp := Group([[[ Z(101)^50, 0*Z(101) ], [ 0*Z(101), Z(101)^50 ]], [[ Z(101)^18, 0*Z(101) ], [ 0*Z(101), Z(101)^86 ]]]); # Booleans booleans_50_2 := rec( Agroup := true, Zgroup := true, abelian := true, almost_simple := false, cyclic := true, metabelian := true, metacyclic := true, monomial := true, nilpotent := true, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := true); # Character Table chartbl_50_2:=rec(); chartbl_50_2.IsFinite:= true; chartbl_50_2.UnderlyingCharacteristic:= 0; chartbl_50_2.UnderlyingGroup:= GPC; chartbl_50_2.Size:= 50; chartbl_50_2.InfoText:= "Character table for group 50.2 downloaded from the LMFDB."; chartbl_50_2.Identifier:= " C50 "; chartbl_50_2.NrConjugacyClasses:= 50; chartbl_50_2.ConjugacyClasses:= [ of ..., f1*f2^2*f3^2, f3, f3^4, f3^2, f3^3, f1*f2^2, f1*f2^2*f3^4, f1*f2^2*f3, f1*f2^2*f3^3, f2, f2^4*f3^4, f2^2, f2^3*f3^4, f2^3, f2^2*f3^4, f2^4, f2*f3^4, f2*f3, f2^4*f3^3, f2^2*f3, f2^3*f3^3, f2^3*f3, f2^2*f3^3, f2^4*f3, f2*f3^3, f2*f3^2, f2^4*f3^2, f2^2*f3^2, f2^3*f3^2, f1, f1*f2^4*f3^4, f1*f2, f1*f2^3*f3^4, f1*f2^3, f1*f2*f3^4, f1*f2^4, f1*f3^4, f1*f3, f1*f2^4*f3^3, f1*f2*f3, f1*f2^3*f3^3, f1*f2^3*f3, f1*f2*f3^3, f1*f2^4*f3, f1*f3^3, f1*f3^2, f1*f2^4*f3^2, f1*f2*f3^2, f1*f2^3*f3^2]; chartbl_50_2.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]; chartbl_50_2.ComputedPowerMaps:= [ , [1, 1, 5, 6, 4, 3, 3, 4, 6, 5, 13, 14, 17, 18, 19, 20, 23, 24, 29, 30, 28, 27, 26, 25, 22, 21, 16, 15, 12, 11, 11, 12, 15, 16, 21, 22, 25, 26, 27, 28, 30, 29, 24, 23, 20, 19, 18, 17, 14, 13], [1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 5, 6, 6, 5, 4, 3, 3, 4, 5, 6, 6, 5, 4, 3, 3, 4, 5, 6, 7, 8, 9, 10, 10, 9, 8, 7, 7, 8, 9, 10, 10, 9, 8, 7, 7, 8, 9, 10]]; chartbl_50_2.SizesCentralizers:= [50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50]; chartbl_50_2.ClassNames:= ["1A", "2A", "5A1", "5A-1", "5A2", "5A-2", "10A1", "10A-1", "10A3", "10A-3", "25A1", "25A-1", "25A2", "25A-2", "25A3", "25A-3", "25A4", "25A-4", "25A6", "25A-6", "25A7", "25A-7", "25A8", "25A-8", "25A9", "25A-9", "25A11", "25A-11", "25A12", "25A-12", "50A1", "50A-1", "50A3", "50A-3", "50A7", "50A-7", "50A9", "50A-9", "50A11", "50A-11", "50A13", "50A-13", "50A17", "50A-17", "50A19", "50A-19", "50A21", "50A-21", "50A23", "50A-23"]; chartbl_50_2.OrderClassRepresentatives:= [1, 2, 5, 5, 5, 5, 10, 10, 10, 10, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50]; chartbl_50_2.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, E(5)^-2, E(5)^2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^-2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(5)^2, E(5)^-2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^-2, E(5)^2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(5)^-1, E(5), E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5), E(5)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(5), E(5)^-1, E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5)], [1, -1, 1, 1, 1, 1, -1, -1, -1, -1, E(5)^-2, E(5)^2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5), E(5)^-1, -1*E(5)^-1, -1*E(5), -1*E(5)^2, -1*E(5)^-2, -1*E(5)^-2, -1*E(5)^2, -1*E(5), -1*E(5)^-1, -1*E(5)^-1, -1*E(5), -1*E(5)^2, -1*E(5)^-2, -1*E(5)^-2, -1*E(5)^2, -1*E(5), -1*E(5)^-1, -1*E(5)^-1, -1*E(5), -1*E(5)^2, -1*E(5)^-2], [1, -1, 1, 1, 1, 1, -1, -1, -1, -1, E(5)^2, E(5)^-2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5)^-1, E(5), -1*E(5), -1*E(5)^-1, -1*E(5)^-2, -1*E(5)^2, -1*E(5)^2, -1*E(5)^-2, -1*E(5)^-1, -1*E(5), -1*E(5), -1*E(5)^-1, -1*E(5)^-2, -1*E(5)^2, -1*E(5)^2, -1*E(5)^-2, -1*E(5)^-1, -1*E(5), -1*E(5), -1*E(5)^-1, -1*E(5)^-2, -1*E(5)^2], [1, -1, 1, 1, 1, 1, -1, -1, -1, -1, E(5)^-1, E(5), E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^-2, E(5)^2, -1*E(5)^2, -1*E(5)^-2, -1*E(5), -1*E(5)^-1, -1*E(5)^-1, -1*E(5), -1*E(5)^-2, -1*E(5)^2, -1*E(5)^2, -1*E(5)^-2, -1*E(5), -1*E(5)^-1, -1*E(5)^-1, -1*E(5), -1*E(5)^-2, -1*E(5)^2, -1*E(5)^2, -1*E(5)^-2, -1*E(5), -1*E(5)^-1], [1, -1, 1, 1, 1, 1, -1, -1, -1, -1, E(5), E(5)^-1, E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^2, E(5)^-2, -1*E(5)^-2, -1*E(5)^2, -1*E(5)^-1, -1*E(5), -1*E(5), -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-2, -1*E(5)^-2, -1*E(5)^2, -1*E(5)^-1, -1*E(5), -1*E(5), -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-2, -1*E(5)^-2, -1*E(5)^2, -1*E(5)^-1, -1*E(5)], [1, 1, E(25)^-10, E(25)^10, E(25)^5, E(25)^-5, E(25)^-5, E(25)^5, E(25)^10, E(25)^-10, E(25)^-12, E(25)^12, E(25), E(25)^-1, E(25)^-11, E(25)^11, E(25)^2, E(25)^-2, E(25)^3, E(25)^-3, E(25)^-9, E(25)^9, E(25)^4, E(25)^-4, E(25)^-8, E(25)^8, E(25)^-7, E(25)^7, E(25)^6, E(25)^-6, E(25)^-6, E(25)^6, E(25)^7, E(25)^-7, E(25)^8, E(25)^-8, E(25)^-4, E(25)^4, E(25)^9, E(25)^-9, E(25)^-3, E(25)^3, E(25)^-2, E(25)^2, E(25)^11, E(25)^-11, E(25)^-1, E(25), E(25)^12, E(25)^-12], [1, 1, E(25)^10, E(25)^-10, E(25)^-5, E(25)^5, E(25)^5, E(25)^-5, E(25)^-10, E(25)^10, E(25)^12, E(25)^-12, E(25)^-1, E(25), E(25)^11, E(25)^-11, E(25)^-2, E(25)^2, E(25)^-3, E(25)^3, E(25)^9, E(25)^-9, E(25)^-4, E(25)^4, E(25)^8, E(25)^-8, E(25)^7, E(25)^-7, E(25)^-6, E(25)^6, E(25)^6, E(25)^-6, E(25)^-7, E(25)^7, E(25)^-8, E(25)^8, E(25)^4, E(25)^-4, E(25)^-9, E(25)^9, E(25)^3, E(25)^-3, E(25)^2, E(25)^-2, E(25)^-11, E(25)^11, E(25), E(25)^-1, E(25)^-12, E(25)^12], [1, 1, E(25)^-10, E(25)^10, E(25)^5, E(25)^-5, E(25)^-5, E(25)^5, E(25)^10, E(25)^-10, E(25)^8, E(25)^-8, E(25)^-9, E(25)^9, E(25)^-1, E(25), E(25)^7, E(25)^-7, E(25)^-2, E(25)^2, E(25)^6, E(25)^-6, E(25)^-11, E(25)^11, E(25)^-3, E(25)^3, E(25)^-12, E(25)^12, E(25)^-4, E(25)^4, E(25)^4, E(25)^-4, E(25)^12, E(25)^-12, E(25)^3, E(25)^-3, E(25)^11, E(25)^-11, E(25)^-6, E(25)^6, E(25)^2, E(25)^-2, E(25)^-7, E(25)^7, E(25), E(25)^-1, E(25)^9, E(25)^-9, E(25)^-8, E(25)^8], [1, 1, E(25)^10, E(25)^-10, E(25)^-5, E(25)^5, E(25)^5, E(25)^-5, E(25)^-10, E(25)^10, E(25)^-8, E(25)^8, E(25)^9, E(25)^-9, E(25), E(25)^-1, E(25)^-7, E(25)^7, E(25)^2, E(25)^-2, E(25)^-6, E(25)^6, E(25)^11, E(25)^-11, E(25)^3, E(25)^-3, E(25)^12, E(25)^-12, E(25)^4, E(25)^-4, E(25)^-4, E(25)^4, E(25)^-12, E(25)^12, E(25)^-3, E(25)^3, E(25)^-11, E(25)^11, E(25)^6, E(25)^-6, E(25)^-2, E(25)^2, E(25)^7, E(25)^-7, E(25)^-1, E(25), E(25)^-9, E(25)^9, E(25)^8, E(25)^-8], [1, 1, E(25)^-10, E(25)^10, E(25)^5, E(25)^-5, E(25)^-5, E(25)^5, E(25)^10, E(25)^-10, E(25)^-7, E(25)^7, E(25)^11, E(25)^-11, E(25)^4, E(25)^-4, E(25)^-3, E(25)^3, E(25)^8, E(25)^-8, E(25), E(25)^-1, E(25)^-6, E(25)^6, E(25)^12, E(25)^-12, E(25)^-2, E(25)^2, E(25)^-9, E(25)^9, E(25)^9, E(25)^-9, E(25)^2, E(25)^-2, E(25)^-12, E(25)^12, E(25)^6, E(25)^-6, E(25)^-1, E(25), E(25)^-8, E(25)^8, E(25)^3, E(25)^-3, E(25)^-4, E(25)^4, E(25)^-11, E(25)^11, E(25)^7, E(25)^-7], [1, 1, E(25)^10, E(25)^-10, E(25)^-5, E(25)^5, E(25)^5, E(25)^-5, E(25)^-10, E(25)^10, E(25)^7, E(25)^-7, E(25)^-11, E(25)^11, E(25)^-4, E(25)^4, E(25)^3, E(25)^-3, E(25)^-8, E(25)^8, E(25)^-1, E(25), E(25)^6, E(25)^-6, E(25)^-12, E(25)^12, E(25)^2, E(25)^-2, E(25)^9, E(25)^-9, E(25)^-9, E(25)^9, E(25)^-2, E(25)^2, E(25)^12, E(25)^-12, E(25)^-6, E(25)^6, E(25), E(25)^-1, E(25)^8, E(25)^-8, E(25)^-3, E(25)^3, E(25)^4, E(25)^-4, E(25)^11, E(25)^-11, E(25)^-7, E(25)^7], [1, 1, E(25)^-10, E(25)^10, E(25)^5, E(25)^-5, E(25)^-5, E(25)^5, E(25)^10, E(25)^-10, E(25)^3, E(25)^-3, E(25)^6, E(25)^-6, E(25)^9, E(25)^-9, E(25)^12, E(25)^-12, E(25)^-7, E(25)^7, E(25)^-4, E(25)^4, E(25)^-1, E(25), E(25)^2, E(25)^-2, E(25)^8, E(25)^-8, E(25)^11, E(25)^-11, E(25)^-11, E(25)^11, E(25)^-8, E(25)^8, E(25)^-2, E(25)^2, E(25), E(25)^-1, E(25)^4, E(25)^-4, E(25)^7, E(25)^-7, E(25)^-12, E(25)^12, E(25)^-9, E(25)^9, E(25)^-6, E(25)^6, E(25)^-3, E(25)^3], [1, 1, E(25)^10, E(25)^-10, E(25)^-5, E(25)^5, E(25)^5, E(25)^-5, E(25)^-10, E(25)^10, E(25)^-3, E(25)^3, E(25)^-6, E(25)^6, E(25)^-9, E(25)^9, E(25)^-12, E(25)^12, E(25)^7, E(25)^-7, E(25)^4, E(25)^-4, E(25), E(25)^-1, E(25)^-2, E(25)^2, E(25)^-8, E(25)^8, E(25)^-11, E(25)^11, E(25)^11, E(25)^-11, E(25)^8, E(25)^-8, E(25)^2, E(25)^-2, E(25)^-1, E(25), E(25)^-4, E(25)^4, E(25)^-7, E(25)^7, E(25)^12, E(25)^-12, E(25)^9, E(25)^-9, E(25)^6, E(25)^-6, E(25)^3, E(25)^-3], [1, 1, E(25)^-10, E(25)^10, E(25)^5, E(25)^-5, E(25)^-5, E(25)^5, E(25)^10, E(25)^-10, E(25)^-2, E(25)^2, E(25)^-4, E(25)^4, E(25)^-6, E(25)^6, E(25)^-8, E(25)^8, E(25)^-12, E(25)^12, E(25)^11, E(25)^-11, E(25)^9, E(25)^-9, E(25)^7, E(25)^-7, E(25)^3, E(25)^-3, E(25), E(25)^-1, E(25)^-1, E(25), E(25)^-3, E(25)^3, E(25)^-7, E(25)^7, E(25)^-9, E(25)^9, E(25)^-11, E(25)^11, E(25)^12, E(25)^-12, E(25)^8, E(25)^-8, E(25)^6, E(25)^-6, E(25)^4, E(25)^-4, E(25)^2, E(25)^-2], [1, 1, E(25)^10, E(25)^-10, E(25)^-5, E(25)^5, E(25)^5, E(25)^-5, E(25)^-10, E(25)^10, E(25)^2, E(25)^-2, E(25)^4, E(25)^-4, E(25)^6, E(25)^-6, E(25)^8, E(25)^-8, E(25)^12, E(25)^-12, E(25)^-11, E(25)^11, E(25)^-9, E(25)^9, E(25)^-7, E(25)^7, E(25)^-3, E(25)^3, E(25)^-1, E(25), E(25), E(25)^-1, E(25)^3, E(25)^-3, E(25)^7, E(25)^-7, E(25)^9, E(25)^-9, E(25)^11, E(25)^-11, E(25)^-12, E(25)^12, E(25)^-8, E(25)^8, E(25)^-6, E(25)^6, E(25)^-4, E(25)^4, E(25)^-2, E(25)^2], [1, 1, E(25)^-5, E(25)^5, E(25)^-10, E(25)^10, E(25)^10, E(25)^-10, E(25)^5, E(25)^-5, E(25)^-11, E(25)^11, E(25)^3, E(25)^-3, E(25)^-8, E(25)^8, E(25)^6, E(25)^-6, E(25)^9, E(25)^-9, E(25)^-2, E(25)^2, E(25)^12, E(25)^-12, E(25), E(25)^-1, E(25)^4, E(25)^-4, E(25)^-7, E(25)^7, E(25)^7, E(25)^-7, E(25)^-4, E(25)^4, E(25)^-1, E(25), E(25)^-12, E(25)^12, E(25)^2, E(25)^-2, E(25)^-9, E(25)^9, E(25)^-6, E(25)^6, E(25)^8, E(25)^-8, E(25)^-3, E(25)^3, E(25)^11, E(25)^-11], [1, 1, E(25)^5, E(25)^-5, E(25)^10, E(25)^-10, E(25)^-10, E(25)^10, E(25)^-5, E(25)^5, E(25)^11, E(25)^-11, E(25)^-3, E(25)^3, E(25)^8, E(25)^-8, E(25)^-6, E(25)^6, E(25)^-9, E(25)^9, E(25)^2, E(25)^-2, E(25)^-12, E(25)^12, E(25)^-1, E(25), E(25)^-4, E(25)^4, E(25)^7, E(25)^-7, E(25)^-7, E(25)^7, E(25)^4, E(25)^-4, E(25), E(25)^-1, E(25)^12, E(25)^-12, E(25)^-2, E(25)^2, E(25)^9, E(25)^-9, E(25)^6, E(25)^-6, E(25)^-8, E(25)^8, E(25)^3, E(25)^-3, E(25)^-11, E(25)^11], [1, 1, E(25)^-5, E(25)^5, E(25)^-10, E(25)^10, E(25)^10, E(25)^-10, E(25)^5, E(25)^-5, E(25)^9, E(25)^-9, E(25)^-7, E(25)^7, E(25)^2, E(25)^-2, E(25)^11, E(25)^-11, E(25)^4, E(25)^-4, E(25)^-12, E(25)^12, E(25)^-3, E(25)^3, E(25)^6, E(25)^-6, E(25)^-1, E(25), E(25)^8, E(25)^-8, E(25)^-8, E(25)^8, E(25), E(25)^-1, E(25)^-6, E(25)^6, E(25)^3, E(25)^-3, E(25)^12, E(25)^-12, E(25)^-4, E(25)^4, E(25)^-11, E(25)^11, E(25)^-2, E(25)^2, E(25)^7, E(25)^-7, E(25)^-9, E(25)^9], [1, 1, E(25)^5, E(25)^-5, E(25)^10, E(25)^-10, E(25)^-10, E(25)^10, E(25)^-5, E(25)^5, E(25)^-9, E(25)^9, E(25)^7, E(25)^-7, E(25)^-2, E(25)^2, E(25)^-11, E(25)^11, E(25)^-4, E(25)^4, E(25)^12, E(25)^-12, E(25)^3, E(25)^-3, E(25)^-6, E(25)^6, E(25), E(25)^-1, E(25)^-8, E(25)^8, E(25)^8, E(25)^-8, E(25)^-1, E(25), E(25)^6, E(25)^-6, E(25)^-3, E(25)^3, E(25)^-12, E(25)^12, E(25)^4, E(25)^-4, E(25)^11, E(25)^-11, E(25)^2, E(25)^-2, E(25)^-7, E(25)^7, E(25)^9, E(25)^-9], [1, 1, E(25)^-5, E(25)^5, E(25)^-10, E(25)^10, E(25)^10, E(25)^-10, E(25)^5, E(25)^-5, E(25)^-6, E(25)^6, E(25)^-12, E(25)^12, E(25)^7, E(25)^-7, E(25), E(25)^-1, E(25)^-11, E(25)^11, E(25)^8, E(25)^-8, E(25)^2, E(25)^-2, E(25)^-4, E(25)^4, E(25)^9, E(25)^-9, E(25)^3, E(25)^-3, E(25)^-3, E(25)^3, E(25)^-9, E(25)^9, E(25)^4, E(25)^-4, E(25)^-2, E(25)^2, E(25)^-8, E(25)^8, E(25)^11, E(25)^-11, E(25)^-1, E(25), E(25)^-7, E(25)^7, E(25)^12, E(25)^-12, E(25)^6, E(25)^-6], [1, 1, E(25)^5, E(25)^-5, E(25)^10, E(25)^-10, E(25)^-10, E(25)^10, E(25)^-5, E(25)^5, E(25)^6, E(25)^-6, E(25)^12, E(25)^-12, E(25)^-7, E(25)^7, E(25)^-1, E(25), E(25)^11, E(25)^-11, E(25)^-8, E(25)^8, E(25)^-2, E(25)^2, E(25)^4, E(25)^-4, E(25)^-9, E(25)^9, E(25)^-3, E(25)^3, E(25)^3, E(25)^-3, E(25)^9, E(25)^-9, E(25)^-4, E(25)^4, E(25)^2, E(25)^-2, E(25)^8, E(25)^-8, E(25)^-11, E(25)^11, E(25), E(25)^-1, E(25)^7, E(25)^-7, E(25)^-12, E(25)^12, E(25)^-6, E(25)^6], [1, 1, E(25)^-5, E(25)^5, E(25)^-10, E(25)^10, E(25)^10, E(25)^-10, E(25)^5, E(25)^-5, E(25)^4, E(25)^-4, E(25)^8, E(25)^-8, E(25)^12, E(25)^-12, E(25)^-9, E(25)^9, E(25)^-1, E(25), E(25)^3, E(25)^-3, E(25)^7, E(25)^-7, E(25)^11, E(25)^-11, E(25)^-6, E(25)^6, E(25)^-2, E(25)^2, E(25)^2, E(25)^-2, E(25)^6, E(25)^-6, E(25)^-11, E(25)^11, E(25)^-7, E(25)^7, E(25)^-3, E(25)^3, E(25), E(25)^-1, E(25)^9, E(25)^-9, E(25)^-12, E(25)^12, E(25)^-8, E(25)^8, E(25)^-4, E(25)^4], [1, 1, E(25)^5, E(25)^-5, E(25)^10, E(25)^-10, E(25)^-10, E(25)^10, E(25)^-5, E(25)^5, E(25)^-4, E(25)^4, E(25)^-8, E(25)^8, E(25)^-12, E(25)^12, E(25)^9, E(25)^-9, E(25), E(25)^-1, E(25)^-3, E(25)^3, E(25)^-7, E(25)^7, E(25)^-11, E(25)^11, E(25)^6, E(25)^-6, E(25)^2, E(25)^-2, E(25)^-2, E(25)^2, E(25)^-6, E(25)^6, E(25)^11, E(25)^-11, E(25)^7, E(25)^-7, E(25)^3, E(25)^-3, E(25)^-1, E(25), E(25)^-9, E(25)^9, E(25)^12, E(25)^-12, E(25)^8, E(25)^-8, E(25)^4, E(25)^-4], [1, 1, E(25)^-5, E(25)^5, E(25)^-10, E(25)^10, E(25)^10, E(25)^-10, E(25)^5, E(25)^-5, E(25)^-1, E(25), E(25)^-2, E(25)^2, E(25)^-3, E(25)^3, E(25)^-4, E(25)^4, E(25)^-6, E(25)^6, E(25)^-7, E(25)^7, E(25)^-8, E(25)^8, E(25)^-9, E(25)^9, E(25)^-11, E(25)^11, E(25)^-12, E(25)^12, E(25)^12, E(25)^-12, E(25)^11, E(25)^-11, E(25)^9, E(25)^-9, E(25)^8, E(25)^-8, E(25)^7, E(25)^-7, E(25)^6, E(25)^-6, E(25)^4, E(25)^-4, E(25)^3, E(25)^-3, E(25)^2, E(25)^-2, E(25), E(25)^-1], [1, 1, E(25)^5, E(25)^-5, E(25)^10, E(25)^-10, E(25)^-10, E(25)^10, E(25)^-5, E(25)^5, E(25), E(25)^-1, E(25)^2, E(25)^-2, E(25)^3, E(25)^-3, E(25)^4, E(25)^-4, E(25)^6, E(25)^-6, E(25)^7, E(25)^-7, E(25)^8, E(25)^-8, E(25)^9, E(25)^-9, E(25)^11, E(25)^-11, E(25)^12, E(25)^-12, E(25)^-12, E(25)^12, E(25)^-11, E(25)^11, E(25)^-9, E(25)^9, E(25)^-8, E(25)^8, E(25)^-7, E(25)^7, E(25)^-6, E(25)^6, E(25)^-4, E(25)^4, E(25)^-3, E(25)^3, E(25)^-2, E(25)^2, E(25)^-1, E(25)], [1, -1, E(25)^-10, E(25)^10, E(25)^5, E(25)^-5, -1*E(25)^-5, -1*E(25)^5, -1*E(25)^10, -1*E(25)^-10, E(25)^-12, E(25)^12, E(25), E(25)^-1, E(25)^-11, E(25)^11, E(25)^2, E(25)^-2, E(25)^3, E(25)^-3, E(25)^-9, E(25)^9, E(25)^4, E(25)^-4, E(25)^-8, E(25)^8, E(25)^-7, E(25)^7, E(25)^6, E(25)^-6, -1*E(25)^-6, -1*E(25)^6, -1*E(25)^7, -1*E(25)^-7, -1*E(25)^8, -1*E(25)^-8, -1*E(25)^-4, -1*E(25)^4, -1*E(25)^9, -1*E(25)^-9, -1*E(25)^-3, -1*E(25)^3, -1*E(25)^-2, -1*E(25)^2, -1*E(25)^11, -1*E(25)^-11, -1*E(25)^-1, -1*E(25), -1*E(25)^12, -1*E(25)^-12], [1, -1, E(25)^10, E(25)^-10, E(25)^-5, E(25)^5, -1*E(25)^5, -1*E(25)^-5, -1*E(25)^-10, -1*E(25)^10, E(25)^12, E(25)^-12, E(25)^-1, E(25), E(25)^11, E(25)^-11, E(25)^-2, E(25)^2, E(25)^-3, E(25)^3, E(25)^9, E(25)^-9, E(25)^-4, E(25)^4, E(25)^8, E(25)^-8, E(25)^7, E(25)^-7, E(25)^-6, E(25)^6, -1*E(25)^6, -1*E(25)^-6, -1*E(25)^-7, -1*E(25)^7, -1*E(25)^-8, -1*E(25)^8, -1*E(25)^4, -1*E(25)^-4, -1*E(25)^-9, -1*E(25)^9, -1*E(25)^3, -1*E(25)^-3, -1*E(25)^2, -1*E(25)^-2, -1*E(25)^-11, -1*E(25)^11, -1*E(25), -1*E(25)^-1, -1*E(25)^-12, -1*E(25)^12], [1, -1, E(25)^-10, E(25)^10, E(25)^5, E(25)^-5, -1*E(25)^-5, -1*E(25)^5, -1*E(25)^10, -1*E(25)^-10, E(25)^8, E(25)^-8, E(25)^-9, E(25)^9, E(25)^-1, E(25), E(25)^7, E(25)^-7, E(25)^-2, E(25)^2, E(25)^6, E(25)^-6, E(25)^-11, E(25)^11, E(25)^-3, E(25)^3, E(25)^-12, E(25)^12, E(25)^-4, E(25)^4, -1*E(25)^4, -1*E(25)^-4, -1*E(25)^12, -1*E(25)^-12, -1*E(25)^3, -1*E(25)^-3, -1*E(25)^11, -1*E(25)^-11, -1*E(25)^-6, -1*E(25)^6, -1*E(25)^2, -1*E(25)^-2, -1*E(25)^-7, -1*E(25)^7, -1*E(25), -1*E(25)^-1, -1*E(25)^9, -1*E(25)^-9, -1*E(25)^-8, -1*E(25)^8], [1, -1, E(25)^10, E(25)^-10, E(25)^-5, E(25)^5, -1*E(25)^5, -1*E(25)^-5, -1*E(25)^-10, -1*E(25)^10, E(25)^-8, E(25)^8, E(25)^9, E(25)^-9, E(25), E(25)^-1, E(25)^-7, E(25)^7, E(25)^2, E(25)^-2, E(25)^-6, E(25)^6, E(25)^11, E(25)^-11, E(25)^3, E(25)^-3, E(25)^12, E(25)^-12, E(25)^4, E(25)^-4, -1*E(25)^-4, -1*E(25)^4, -1*E(25)^-12, -1*E(25)^12, -1*E(25)^-3, -1*E(25)^3, -1*E(25)^-11, -1*E(25)^11, -1*E(25)^6, -1*E(25)^-6, -1*E(25)^-2, -1*E(25)^2, -1*E(25)^7, -1*E(25)^-7, -1*E(25)^-1, -1*E(25), -1*E(25)^-9, -1*E(25)^9, -1*E(25)^8, -1*E(25)^-8], [1, -1, E(25)^-10, E(25)^10, E(25)^5, E(25)^-5, -1*E(25)^-5, -1*E(25)^5, -1*E(25)^10, -1*E(25)^-10, E(25)^-7, E(25)^7, E(25)^11, E(25)^-11, E(25)^4, E(25)^-4, E(25)^-3, E(25)^3, E(25)^8, E(25)^-8, E(25), E(25)^-1, E(25)^-6, E(25)^6, E(25)^12, E(25)^-12, E(25)^-2, E(25)^2, E(25)^-9, E(25)^9, -1*E(25)^9, -1*E(25)^-9, -1*E(25)^2, -1*E(25)^-2, -1*E(25)^-12, -1*E(25)^12, -1*E(25)^6, -1*E(25)^-6, -1*E(25)^-1, -1*E(25), -1*E(25)^-8, -1*E(25)^8, -1*E(25)^3, -1*E(25)^-3, -1*E(25)^-4, -1*E(25)^4, -1*E(25)^-11, -1*E(25)^11, -1*E(25)^7, -1*E(25)^-7], [1, -1, E(25)^10, E(25)^-10, E(25)^-5, E(25)^5, -1*E(25)^5, -1*E(25)^-5, -1*E(25)^-10, -1*E(25)^10, E(25)^7, E(25)^-7, E(25)^-11, E(25)^11, E(25)^-4, E(25)^4, E(25)^3, E(25)^-3, E(25)^-8, E(25)^8, E(25)^-1, E(25), E(25)^6, E(25)^-6, E(25)^-12, E(25)^12, E(25)^2, E(25)^-2, E(25)^9, E(25)^-9, -1*E(25)^-9, -1*E(25)^9, -1*E(25)^-2, -1*E(25)^2, -1*E(25)^12, -1*E(25)^-12, -1*E(25)^-6, -1*E(25)^6, -1*E(25), -1*E(25)^-1, -1*E(25)^8, -1*E(25)^-8, -1*E(25)^-3, -1*E(25)^3, -1*E(25)^4, -1*E(25)^-4, -1*E(25)^11, -1*E(25)^-11, -1*E(25)^-7, -1*E(25)^7], [1, -1, E(25)^-10, E(25)^10, E(25)^5, E(25)^-5, -1*E(25)^-5, -1*E(25)^5, -1*E(25)^10, -1*E(25)^-10, E(25)^3, E(25)^-3, E(25)^6, E(25)^-6, E(25)^9, E(25)^-9, E(25)^12, E(25)^-12, E(25)^-7, E(25)^7, E(25)^-4, E(25)^4, E(25)^-1, E(25), E(25)^2, E(25)^-2, E(25)^8, E(25)^-8, E(25)^11, E(25)^-11, -1*E(25)^-11, -1*E(25)^11, -1*E(25)^-8, -1*E(25)^8, -1*E(25)^-2, -1*E(25)^2, -1*E(25), -1*E(25)^-1, -1*E(25)^4, -1*E(25)^-4, -1*E(25)^7, -1*E(25)^-7, -1*E(25)^-12, -1*E(25)^12, -1*E(25)^-9, -1*E(25)^9, -1*E(25)^-6, -1*E(25)^6, -1*E(25)^-3, -1*E(25)^3], [1, -1, E(25)^10, E(25)^-10, E(25)^-5, E(25)^5, -1*E(25)^5, -1*E(25)^-5, -1*E(25)^-10, -1*E(25)^10, E(25)^-3, E(25)^3, E(25)^-6, E(25)^6, E(25)^-9, E(25)^9, E(25)^-12, E(25)^12, E(25)^7, E(25)^-7, E(25)^4, E(25)^-4, E(25), E(25)^-1, E(25)^-2, E(25)^2, E(25)^-8, E(25)^8, E(25)^-11, E(25)^11, -1*E(25)^11, -1*E(25)^-11, -1*E(25)^8, -1*E(25)^-8, -1*E(25)^2, -1*E(25)^-2, -1*E(25)^-1, -1*E(25), -1*E(25)^-4, -1*E(25)^4, -1*E(25)^-7, -1*E(25)^7, -1*E(25)^12, -1*E(25)^-12, -1*E(25)^9, -1*E(25)^-9, -1*E(25)^6, -1*E(25)^-6, -1*E(25)^3, -1*E(25)^-3], [1, -1, E(25)^-10, E(25)^10, E(25)^5, E(25)^-5, -1*E(25)^-5, -1*E(25)^5, -1*E(25)^10, -1*E(25)^-10, E(25)^-2, E(25)^2, E(25)^-4, E(25)^4, E(25)^-6, E(25)^6, E(25)^-8, E(25)^8, E(25)^-12, E(25)^12, E(25)^11, E(25)^-11, E(25)^9, E(25)^-9, E(25)^7, E(25)^-7, E(25)^3, E(25)^-3, E(25), E(25)^-1, -1*E(25)^-1, -1*E(25), -1*E(25)^-3, -1*E(25)^3, -1*E(25)^-7, -1*E(25)^7, -1*E(25)^-9, -1*E(25)^9, -1*E(25)^-11, -1*E(25)^11, -1*E(25)^12, -1*E(25)^-12, -1*E(25)^8, -1*E(25)^-8, -1*E(25)^6, -1*E(25)^-6, -1*E(25)^4, -1*E(25)^-4, -1*E(25)^2, -1*E(25)^-2], [1, -1, E(25)^10, E(25)^-10, E(25)^-5, E(25)^5, -1*E(25)^5, -1*E(25)^-5, -1*E(25)^-10, -1*E(25)^10, E(25)^2, E(25)^-2, E(25)^4, E(25)^-4, E(25)^6, E(25)^-6, E(25)^8, E(25)^-8, E(25)^12, E(25)^-12, E(25)^-11, E(25)^11, E(25)^-9, E(25)^9, E(25)^-7, E(25)^7, E(25)^-3, E(25)^3, E(25)^-1, E(25), -1*E(25), -1*E(25)^-1, -1*E(25)^3, -1*E(25)^-3, -1*E(25)^7, -1*E(25)^-7, -1*E(25)^9, -1*E(25)^-9, -1*E(25)^11, -1*E(25)^-11, -1*E(25)^-12, -1*E(25)^12, -1*E(25)^-8, -1*E(25)^8, -1*E(25)^-6, -1*E(25)^6, -1*E(25)^-4, -1*E(25)^4, -1*E(25)^-2, -1*E(25)^2], [1, -1, E(25)^-5, E(25)^5, E(25)^-10, E(25)^10, -1*E(25)^10, -1*E(25)^-10, -1*E(25)^5, -1*E(25)^-5, E(25)^-11, E(25)^11, E(25)^3, E(25)^-3, E(25)^-8, E(25)^8, E(25)^6, E(25)^-6, E(25)^9, E(25)^-9, E(25)^-2, E(25)^2, E(25)^12, E(25)^-12, E(25), E(25)^-1, E(25)^4, E(25)^-4, E(25)^-7, E(25)^7, -1*E(25)^7, -1*E(25)^-7, -1*E(25)^-4, -1*E(25)^4, -1*E(25)^-1, -1*E(25), -1*E(25)^-12, -1*E(25)^12, -1*E(25)^2, -1*E(25)^-2, -1*E(25)^-9, -1*E(25)^9, -1*E(25)^-6, -1*E(25)^6, -1*E(25)^8, -1*E(25)^-8, -1*E(25)^-3, -1*E(25)^3, -1*E(25)^11, -1*E(25)^-11], [1, -1, E(25)^5, E(25)^-5, E(25)^10, E(25)^-10, -1*E(25)^-10, -1*E(25)^10, -1*E(25)^-5, -1*E(25)^5, E(25)^11, E(25)^-11, E(25)^-3, E(25)^3, E(25)^8, E(25)^-8, E(25)^-6, E(25)^6, E(25)^-9, E(25)^9, E(25)^2, E(25)^-2, E(25)^-12, E(25)^12, E(25)^-1, E(25), E(25)^-4, E(25)^4, E(25)^7, E(25)^-7, -1*E(25)^-7, -1*E(25)^7, -1*E(25)^4, -1*E(25)^-4, -1*E(25), -1*E(25)^-1, -1*E(25)^12, -1*E(25)^-12, -1*E(25)^-2, -1*E(25)^2, -1*E(25)^9, -1*E(25)^-9, -1*E(25)^6, -1*E(25)^-6, -1*E(25)^-8, -1*E(25)^8, -1*E(25)^3, -1*E(25)^-3, -1*E(25)^-11, -1*E(25)^11], [1, -1, E(25)^-5, E(25)^5, E(25)^-10, E(25)^10, -1*E(25)^10, -1*E(25)^-10, -1*E(25)^5, -1*E(25)^-5, E(25)^9, E(25)^-9, E(25)^-7, E(25)^7, E(25)^2, E(25)^-2, E(25)^11, E(25)^-11, E(25)^4, E(25)^-4, E(25)^-12, E(25)^12, E(25)^-3, E(25)^3, E(25)^6, E(25)^-6, E(25)^-1, E(25), E(25)^8, E(25)^-8, -1*E(25)^-8, -1*E(25)^8, -1*E(25), -1*E(25)^-1, -1*E(25)^-6, -1*E(25)^6, -1*E(25)^3, -1*E(25)^-3, -1*E(25)^12, -1*E(25)^-12, -1*E(25)^-4, -1*E(25)^4, -1*E(25)^-11, -1*E(25)^11, -1*E(25)^-2, -1*E(25)^2, -1*E(25)^7, -1*E(25)^-7, -1*E(25)^-9, -1*E(25)^9], [1, -1, E(25)^5, E(25)^-5, E(25)^10, E(25)^-10, -1*E(25)^-10, -1*E(25)^10, -1*E(25)^-5, -1*E(25)^5, E(25)^-9, E(25)^9, E(25)^7, E(25)^-7, E(25)^-2, E(25)^2, E(25)^-11, E(25)^11, E(25)^-4, E(25)^4, E(25)^12, E(25)^-12, E(25)^3, E(25)^-3, E(25)^-6, E(25)^6, E(25), E(25)^-1, E(25)^-8, E(25)^8, -1*E(25)^8, -1*E(25)^-8, -1*E(25)^-1, -1*E(25), -1*E(25)^6, -1*E(25)^-6, -1*E(25)^-3, -1*E(25)^3, -1*E(25)^-12, -1*E(25)^12, -1*E(25)^4, -1*E(25)^-4, -1*E(25)^11, -1*E(25)^-11, -1*E(25)^2, -1*E(25)^-2, -1*E(25)^-7, -1*E(25)^7, -1*E(25)^9, -1*E(25)^-9], [1, -1, E(25)^-5, E(25)^5, E(25)^-10, E(25)^10, -1*E(25)^10, -1*E(25)^-10, -1*E(25)^5, -1*E(25)^-5, E(25)^-6, E(25)^6, E(25)^-12, E(25)^12, E(25)^7, E(25)^-7, E(25), E(25)^-1, E(25)^-11, E(25)^11, E(25)^8, E(25)^-8, E(25)^2, E(25)^-2, E(25)^-4, E(25)^4, E(25)^9, E(25)^-9, E(25)^3, E(25)^-3, -1*E(25)^-3, -1*E(25)^3, -1*E(25)^-9, -1*E(25)^9, -1*E(25)^4, -1*E(25)^-4, -1*E(25)^-2, -1*E(25)^2, -1*E(25)^-8, -1*E(25)^8, -1*E(25)^11, -1*E(25)^-11, -1*E(25)^-1, -1*E(25), -1*E(25)^-7, -1*E(25)^7, -1*E(25)^12, -1*E(25)^-12, -1*E(25)^6, -1*E(25)^-6], [1, -1, E(25)^5, E(25)^-5, E(25)^10, E(25)^-10, -1*E(25)^-10, -1*E(25)^10, -1*E(25)^-5, -1*E(25)^5, E(25)^6, E(25)^-6, E(25)^12, E(25)^-12, E(25)^-7, E(25)^7, E(25)^-1, E(25), E(25)^11, E(25)^-11, E(25)^-8, E(25)^8, E(25)^-2, E(25)^2, E(25)^4, E(25)^-4, E(25)^-9, E(25)^9, E(25)^-3, E(25)^3, -1*E(25)^3, -1*E(25)^-3, -1*E(25)^9, -1*E(25)^-9, -1*E(25)^-4, -1*E(25)^4, -1*E(25)^2, -1*E(25)^-2, -1*E(25)^8, -1*E(25)^-8, -1*E(25)^-11, -1*E(25)^11, -1*E(25), -1*E(25)^-1, -1*E(25)^7, -1*E(25)^-7, -1*E(25)^-12, -1*E(25)^12, -1*E(25)^-6, -1*E(25)^6], [1, -1, E(25)^-5, E(25)^5, E(25)^-10, E(25)^10, -1*E(25)^10, -1*E(25)^-10, -1*E(25)^5, -1*E(25)^-5, E(25)^4, E(25)^-4, E(25)^8, E(25)^-8, E(25)^12, E(25)^-12, E(25)^-9, E(25)^9, E(25)^-1, E(25), E(25)^3, E(25)^-3, E(25)^7, E(25)^-7, E(25)^11, E(25)^-11, E(25)^-6, E(25)^6, E(25)^-2, E(25)^2, -1*E(25)^2, -1*E(25)^-2, -1*E(25)^6, -1*E(25)^-6, -1*E(25)^-11, -1*E(25)^11, -1*E(25)^-7, -1*E(25)^7, -1*E(25)^-3, -1*E(25)^3, -1*E(25), -1*E(25)^-1, -1*E(25)^9, -1*E(25)^-9, -1*E(25)^-12, -1*E(25)^12, -1*E(25)^-8, -1*E(25)^8, -1*E(25)^-4, -1*E(25)^4], [1, -1, E(25)^5, E(25)^-5, E(25)^10, E(25)^-10, -1*E(25)^-10, -1*E(25)^10, -1*E(25)^-5, -1*E(25)^5, E(25)^-4, E(25)^4, E(25)^-8, E(25)^8, E(25)^-12, E(25)^12, E(25)^9, E(25)^-9, E(25), E(25)^-1, E(25)^-3, E(25)^3, E(25)^-7, E(25)^7, E(25)^-11, E(25)^11, E(25)^6, E(25)^-6, E(25)^2, E(25)^-2, -1*E(25)^-2, -1*E(25)^2, -1*E(25)^-6, -1*E(25)^6, -1*E(25)^11, -1*E(25)^-11, -1*E(25)^7, -1*E(25)^-7, -1*E(25)^3, -1*E(25)^-3, -1*E(25)^-1, -1*E(25), -1*E(25)^-9, -1*E(25)^9, -1*E(25)^12, -1*E(25)^-12, -1*E(25)^8, -1*E(25)^-8, -1*E(25)^4, -1*E(25)^-4], [1, -1, E(25)^-5, E(25)^5, E(25)^-10, E(25)^10, -1*E(25)^10, -1*E(25)^-10, -1*E(25)^5, -1*E(25)^-5, E(25)^-1, E(25), E(25)^-2, E(25)^2, E(25)^-3, E(25)^3, E(25)^-4, E(25)^4, E(25)^-6, E(25)^6, E(25)^-7, E(25)^7, E(25)^-8, E(25)^8, E(25)^-9, E(25)^9, E(25)^-11, E(25)^11, E(25)^-12, E(25)^12, -1*E(25)^12, -1*E(25)^-12, -1*E(25)^11, -1*E(25)^-11, -1*E(25)^9, -1*E(25)^-9, -1*E(25)^8, -1*E(25)^-8, -1*E(25)^7, -1*E(25)^-7, -1*E(25)^6, -1*E(25)^-6, -1*E(25)^4, -1*E(25)^-4, -1*E(25)^3, -1*E(25)^-3, -1*E(25)^2, -1*E(25)^-2, -1*E(25), -1*E(25)^-1], [1, -1, E(25)^5, E(25)^-5, E(25)^10, E(25)^-10, -1*E(25)^-10, -1*E(25)^10, -1*E(25)^-5, -1*E(25)^5, E(25), E(25)^-1, E(25)^2, E(25)^-2, E(25)^3, E(25)^-3, E(25)^4, E(25)^-4, E(25)^6, E(25)^-6, E(25)^7, E(25)^-7, E(25)^8, E(25)^-8, E(25)^9, E(25)^-9, E(25)^11, E(25)^-11, E(25)^12, E(25)^-12, -1*E(25)^-12, -1*E(25)^12, -1*E(25)^-11, -1*E(25)^11, -1*E(25)^-9, -1*E(25)^9, -1*E(25)^-8, -1*E(25)^8, -1*E(25)^-7, -1*E(25)^7, -1*E(25)^-6, -1*E(25)^6, -1*E(25)^-4, -1*E(25)^4, -1*E(25)^-3, -1*E(25)^3, -1*E(25)^-2, -1*E(25)^2, -1*E(25)^-1, -1*E(25)]]; ConvertToLibraryCharacterTableNC(chartbl_50_2);