# Group 112.20 downloaded from the LMFDB on 12 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(15997357725125,112); a := GPC.1; b := GPC.2; c := GPC.4; GPerm := Group( (1,6,2,5)(3,8,4,7), (1,2)(3,4)(5,8)(6,7), (9,15,14,13,12,11,10), (1,3)(2,4)(5,7)(6,8), (1,2)(3,4)(5,6)(7,8) ); GLFq := Group([[[Z(8)^3, 0*Z(8), Z(8)^6], [Z(8)^5, Z(8)^6, Z(8)^0], [Z(8)^2, 0*Z(8), Z(8)^3]],[[Z(8)^6, 0*Z(8), 0*Z(8)], [Z(8)^4, Z(8)^6, Z(8)^6], [0*Z(8), 0*Z(8), Z(8)^6]],[[Z(8)^1, 0*Z(8), 0*Z(8)], [Z(8)^3, Z(8)^1, Z(8)^5], [0*Z(8), 0*Z(8), Z(8)^1]],[[Z(8)^6, 0*Z(8), Z(8)^4], [Z(8)^3, Z(8)^0, Z(8)^3], [Z(8)^0, 0*Z(8), Z(8)^6]],[[Z(8)^2, 0*Z(8), 0*Z(8)], [0*Z(8), Z(8)^2, 0*Z(8)], [0*Z(8), 0*Z(8), Z(8)^2]]]); # Booleans booleans_112_20 := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := true, metacyclic := false, monomial := true, nilpotent := true, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := true); # Character Table chartbl_112_20:=rec(); chartbl_112_20.IsFinite:= true; chartbl_112_20.UnderlyingCharacteristic:= 0; chartbl_112_20.UnderlyingGroup:= GPC; chartbl_112_20.Size:= 112; chartbl_112_20.InfoText:= "Character table for group 112.20 downloaded from the LMFDB."; chartbl_112_20.Identifier:= " C2^2:C28 "; chartbl_112_20.NrConjugacyClasses:= 70; chartbl_112_20.ConjugacyClasses:= [ of ..., f4*f5^3, f3, f3*f4*f5^3, f1, f1*f3, f2*f3, f2, f1*f2*f3*f4*f5^3, f1*f2, f5, f5^6, f5^2, f5^5, f5^3, f5^4, f4, f4*f5^6, f4*f5, f4*f5^5, f4*f5^2, f4*f5^4, f3*f5^2, f3*f5^5, f3*f5^6, f3*f5, f3*f5^3, f3*f5^4, f3*f4*f5^5, f3*f4*f5, f3*f4*f5^2, f3*f4*f5^4, f3*f4*f5^6, f3*f4, f1*f5, f1*f5^6, f1*f5^3, f1*f4, f1*f5^5, f1*f5^2, f1*f3*f5, f1*f3*f5^6, f1*f3*f5^3, f1*f3*f4, f1*f3*f5^5, f1*f3*f5^2, f2*f5, f2*f3*f5^6, f2*f3*f5^3, f2*f4, f2*f5^5, f2*f3*f5^2, f2*f5^2, f2*f3*f5^5, f2*f3*f4, f2*f5^3, f2*f5^6, f2*f3*f5, f1*f2*f5, f1*f2*f3*f5^6, f1*f2*f3*f5^3, f1*f2*f4, f1*f2*f5^5, f1*f2*f3*f5^2, f1*f2*f5^2, f1*f2*f3*f5^5, f1*f2*f3*f4, f1*f2*f5^3, f1*f2*f5^6, f1*f2*f3*f5]; chartbl_112_20.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]; chartbl_112_20.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 13, 14, 16, 15, 12, 11, 11, 12, 15, 16, 14, 13, 16, 15, 14, 13, 12, 11, 16, 15, 14, 13, 12, 11, 13, 14, 12, 11, 15, 16, 13, 14, 12, 11, 15, 16, 23, 24, 25, 26, 27, 28, 28, 27, 26, 25, 24, 23, 29, 30, 31, 32, 33, 34, 34, 33, 32, 31, 30, 29], [1, 2, 3, 4, 5, 6, 8, 7, 10, 9, 15, 16, 12, 11, 13, 14, 19, 20, 22, 21, 17, 18, 25, 26, 28, 27, 23, 24, 31, 32, 34, 33, 29, 30, 37, 38, 40, 39, 35, 36, 43, 44, 46, 45, 41, 42, 49, 50, 53, 54, 58, 57, 48, 47, 51, 52, 55, 56, 61, 62, 65, 66, 70, 69, 60, 59, 63, 64, 67, 68]]; chartbl_112_20.SizesCentralizers:= [112, 112, 112, 112, 56, 56, 56, 56, 56, 56, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56]; chartbl_112_20.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "4A1", "4A-1", "4B1", "4B-1", "7A1", "7A-1", "7A2", "7A-2", "7A3", "7A-3", "14A1", "14A-1", "14A3", "14A-3", "14A5", "14A-5", "14B1", "14B-1", "14B3", "14B-3", "14B5", "14B-5", "14C1", "14C-1", "14C3", "14C-3", "14C5", "14C-5", "14D1", "14D-1", "14D3", "14D-3", "14D5", "14D-5", "14E1", "14E-1", "14E3", "14E-3", "14E5", "14E-5", "28A1", "28A-1", "28A3", "28A-3", "28A5", "28A-5", "28A9", "28A-9", "28A11", "28A-11", "28A13", "28A-13", "28B1", "28B-1", "28B3", "28B-3", "28B5", "28B-5", "28B9", "28B-9", "28B11", "28B-11", "28B13", "28B-13"]; chartbl_112_20.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28]; chartbl_112_20.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*E(4), E(4), 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, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1*E(4), E(4), -1*E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), E(4), E(4)], [1, 1, -1, -1, -1, 1, E(4), -1*E(4), -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, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, E(4), -1*E(4), E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), -1*E(4), -1*E(4)], [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, 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*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), E(4), -1*E(4), -1*E(4), E(4)], [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, 1, 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), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4)], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(7)^-3, E(7)^-2, E(7)^-1, E(7)^3, E(7)^2, E(7), E(7)^-1, E(7), E(7)^-2, E(7)^3, E(7), E(7)^3, E(7)^-3, E(7)^-3, E(7)^-1, E(7)^2, E(7)^-2, E(7)^-1, E(7)^-2, E(7)^2, E(7)^-3, E(7), E(7)^2, E(7)^3, E(7)^-3, E(7)^-3, E(7)^-1, E(7)^2, E(7)^-2, E(7)^-2, E(7)^-1, E(7)^3, E(7), E(7)^2, E(7), E(7)^3, E(7)^-2, E(7)^3, E(7)^-3, E(7)^2, E(7)^-3, E(7), E(7)^3, E(7)^-3, E(7)^-1, E(7)^-2, E(7), E(7), E(7)^-3, E(7)^2, E(7)^-1, E(7)^3, E(7)^-1, E(7)^-2, E(7)^3, E(7)^-1, E(7)^2, E(7)^-2, E(7), E(7)^2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(7)^3, E(7)^2, E(7), E(7)^-3, E(7)^-2, E(7)^-1, E(7), E(7)^-1, E(7)^2, E(7)^-3, E(7)^-1, E(7)^-3, E(7)^3, E(7)^3, E(7), E(7)^-2, E(7)^2, E(7), E(7)^2, E(7)^-2, E(7)^3, E(7)^-1, E(7)^-2, E(7)^-3, E(7)^3, E(7)^3, E(7), E(7)^-2, E(7)^2, E(7)^2, E(7), E(7)^-3, E(7)^-1, E(7)^-2, E(7)^-1, E(7)^-3, E(7)^2, E(7)^-3, E(7)^3, E(7)^-2, E(7)^3, E(7)^-1, E(7)^-3, E(7)^3, E(7), E(7)^2, E(7)^-1, E(7)^-1, E(7)^3, E(7)^-2, E(7), E(7)^-3, E(7), E(7)^2, E(7)^-3, E(7), E(7)^-2, E(7)^2, E(7)^-1, E(7)^-2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(7)^-2, E(7), E(7)^-3, E(7)^2, E(7)^-1, E(7)^3, E(7)^-3, E(7)^3, E(7), E(7)^2, E(7)^3, E(7)^2, E(7)^-2, E(7)^-2, E(7)^-3, E(7)^-1, E(7), E(7)^-3, E(7), E(7)^-1, E(7)^-2, E(7)^3, E(7)^-1, E(7)^2, E(7)^-2, E(7)^-2, E(7)^-3, E(7)^-1, E(7), E(7), E(7)^-3, E(7)^2, E(7)^3, E(7)^-1, E(7)^3, E(7)^2, E(7), E(7)^2, E(7)^-2, E(7)^-1, E(7)^-2, E(7)^3, E(7)^2, E(7)^-2, E(7)^-3, E(7), E(7)^3, E(7)^3, E(7)^-2, E(7)^-1, E(7)^-3, E(7)^2, E(7)^-3, E(7), E(7)^2, E(7)^-3, E(7)^-1, E(7), E(7)^3, E(7)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(7)^2, E(7)^-1, E(7)^3, E(7)^-2, E(7), E(7)^-3, E(7)^3, E(7)^-3, E(7)^-1, E(7)^-2, E(7)^-3, E(7)^-2, E(7)^2, E(7)^2, E(7)^3, E(7), E(7)^-1, E(7)^3, E(7)^-1, E(7), E(7)^2, E(7)^-3, E(7), E(7)^-2, E(7)^2, E(7)^2, E(7)^3, E(7), E(7)^-1, E(7)^-1, E(7)^3, E(7)^-2, E(7)^-3, E(7), E(7)^-3, E(7)^-2, E(7)^-1, E(7)^-2, E(7)^2, E(7), E(7)^2, E(7)^-3, E(7)^-2, E(7)^2, E(7)^3, E(7)^-1, E(7)^-3, E(7)^-3, E(7)^2, E(7), E(7)^3, E(7)^-2, E(7)^3, E(7)^-1, E(7)^-2, E(7)^3, E(7), E(7)^-1, E(7)^-3, E(7)], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(7)^-1, E(7)^-3, E(7)^2, E(7), E(7)^3, E(7)^-2, E(7)^2, E(7)^-2, E(7)^-3, E(7), E(7)^-2, E(7), E(7)^-1, E(7)^-1, E(7)^2, E(7)^3, E(7)^-3, E(7)^2, E(7)^-3, E(7)^3, E(7)^-1, E(7)^-2, E(7)^3, E(7), E(7)^-1, E(7)^-1, E(7)^2, E(7)^3, E(7)^-3, E(7)^-3, E(7)^2, E(7), E(7)^-2, E(7)^3, E(7)^-2, E(7), E(7)^-3, E(7), E(7)^-1, E(7)^3, E(7)^-1, E(7)^-2, E(7), E(7)^-1, E(7)^2, E(7)^-3, E(7)^-2, E(7)^-2, E(7)^-1, E(7)^3, E(7)^2, E(7), E(7)^2, E(7)^-3, E(7), E(7)^2, E(7)^3, E(7)^-3, E(7)^-2, E(7)^3], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(7), E(7)^3, E(7)^-2, E(7)^-1, E(7)^-3, E(7)^2, E(7)^-2, E(7)^2, E(7)^3, E(7)^-1, E(7)^2, E(7)^-1, E(7), E(7), E(7)^-2, E(7)^-3, E(7)^3, E(7)^-2, E(7)^3, E(7)^-3, E(7), E(7)^2, E(7)^-3, E(7)^-1, E(7), E(7), E(7)^-2, E(7)^-3, E(7)^3, E(7)^3, E(7)^-2, E(7)^-1, E(7)^2, E(7)^-3, E(7)^2, E(7)^-1, E(7)^3, E(7)^-1, E(7), E(7)^-3, E(7), E(7)^2, E(7)^-1, E(7), E(7)^-2, E(7)^3, E(7)^2, E(7)^2, E(7), E(7)^-3, E(7)^-2, E(7)^-1, E(7)^-2, E(7)^3, E(7)^-1, E(7)^-2, E(7)^-3, E(7)^3, E(7)^2, E(7)^-3], [1, 1, 1, 1, -1, -1, -1, -1, 1, 1, E(7)^-3, E(7)^-2, E(7)^-1, E(7)^3, E(7)^2, E(7), E(7)^-1, E(7), E(7)^-2, E(7)^3, E(7), E(7)^3, E(7)^-3, E(7)^-3, E(7)^-1, E(7)^2, E(7)^-2, E(7)^-1, E(7)^-2, E(7)^2, E(7)^-3, E(7), E(7)^2, E(7)^3, -1*E(7)^-3, -1*E(7)^-3, -1*E(7)^-1, -1*E(7)^2, -1*E(7)^-2, -1*E(7)^-2, -1*E(7)^-1, -1*E(7)^3, -1*E(7), -1*E(7)^2, -1*E(7), -1*E(7)^3, E(7)^-2, E(7)^3, E(7)^-3, -1*E(7)^2, -1*E(7)^-3, -1*E(7), -1*E(7)^3, -1*E(7)^-3, -1*E(7)^-1, -1*E(7)^-2, -1*E(7), E(7), E(7)^-3, E(7)^2, E(7)^-1, E(7)^3, E(7)^-1, -1*E(7)^-2, -1*E(7)^3, -1*E(7)^-1, E(7)^2, E(7)^-2, E(7), -1*E(7)^2], [1, 1, 1, 1, -1, -1, -1, -1, 1, 1, E(7)^3, E(7)^2, E(7), E(7)^-3, E(7)^-2, E(7)^-1, E(7), E(7)^-1, E(7)^2, E(7)^-3, E(7)^-1, E(7)^-3, E(7)^3, E(7)^3, E(7), E(7)^-2, E(7)^2, E(7), E(7)^2, E(7)^-2, E(7)^3, E(7)^-1, E(7)^-2, E(7)^-3, -1*E(7)^3, -1*E(7)^3, -1*E(7), -1*E(7)^-2, -1*E(7)^2, -1*E(7)^2, -1*E(7), -1*E(7)^-3, -1*E(7)^-1, -1*E(7)^-2, -1*E(7)^-1, -1*E(7)^-3, E(7)^2, E(7)^-3, E(7)^3, -1*E(7)^-2, -1*E(7)^3, -1*E(7)^-1, -1*E(7)^-3, -1*E(7)^3, -1*E(7), -1*E(7)^2, -1*E(7)^-1, E(7)^-1, E(7)^3, E(7)^-2, E(7), E(7)^-3, E(7), -1*E(7)^2, -1*E(7)^-3, -1*E(7), E(7)^-2, E(7)^2, E(7)^-1, -1*E(7)^-2], [1, 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E(7)^-2, E(7)^3, E(7)^2, E(7)^-2, E(7)^-3, E(7), E(7)^3, -1*E(7)^3, -1*E(7)^-2, -1*E(7)^-1, -1*E(7)^-3, -1*E(7)^2, -1*E(7)^-3, E(7), E(7)^2, E(7)^-3, -1*E(7)^-1, -1*E(7), -1*E(7)^3, E(7)^-1], [1, 1, 1, 1, -1, -1, 1, 1, -1, -1, E(7)^2, E(7)^-1, E(7)^3, E(7)^-2, E(7), E(7)^-3, E(7)^3, E(7)^-3, E(7)^-1, E(7)^-2, E(7)^-3, E(7)^-2, E(7)^2, E(7)^2, E(7)^3, E(7), E(7)^-1, E(7)^3, E(7)^-1, E(7), E(7)^2, E(7)^-3, E(7), E(7)^-2, -1*E(7)^2, -1*E(7)^2, -1*E(7)^3, -1*E(7), -1*E(7)^-1, -1*E(7)^-1, -1*E(7)^3, -1*E(7)^-2, -1*E(7)^-3, -1*E(7), -1*E(7)^-3, -1*E(7)^-2, -1*E(7)^-1, -1*E(7)^-2, -1*E(7)^2, E(7), E(7)^2, E(7)^-3, E(7)^-2, E(7)^2, E(7)^3, E(7)^-1, E(7)^-3, -1*E(7)^-3, -1*E(7)^2, -1*E(7), -1*E(7)^3, -1*E(7)^-2, -1*E(7)^3, E(7)^-1, E(7)^-2, E(7)^3, -1*E(7), -1*E(7)^-1, -1*E(7)^-3, E(7)], [1, 1, 1, 1, -1, -1, 1, 1, -1, -1, E(7)^-1, E(7)^-3, E(7)^2, E(7), E(7)^3, E(7)^-2, E(7)^2, E(7)^-2, E(7)^-3, E(7), E(7)^-2, E(7), E(7)^-1, E(7)^-1, E(7)^2, E(7)^3, E(7)^-3, E(7)^2, E(7)^-3, E(7)^3, E(7)^-1, 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E(28)^13], [1, 1, -1, -1, -1, 1, -1*E(28)^7, E(28)^7, E(28)^7, -1*E(28)^7, E(28)^12, E(28)^8, E(28)^4, -1*E(28)^2, -1*E(28)^6, -1*E(28)^10, -1*E(28)^4, E(28)^10, -1*E(28)^8, E(28)^2, -1*E(28)^10, -1*E(28)^2, E(28)^12, -1*E(28)^12, -1*E(28)^4, -1*E(28)^6, E(28)^8, E(28)^4, -1*E(28)^8, E(28)^6, -1*E(28)^12, E(28)^10, E(28)^6, E(28)^2, -1*E(28)^12, E(28)^12, -1*E(28)^4, E(28)^6, E(28)^8, -1*E(28)^8, E(28)^4, -1*E(28)^2, E(28)^10, -1*E(28)^6, -1*E(28)^10, E(28)^2, E(28), -1*E(28)^9, E(28)^5, E(28)^13, E(28)^5, E(28)^3, E(28)^9, -1*E(28)^5, -1*E(28)^11, -1*E(28), -1*E(28)^3, -1*E(28)^3, -1*E(28)^5, -1*E(28)^13, -1*E(28)^11, E(28)^9, E(28)^11, E(28), -1*E(28)^9, E(28)^11, E(28)^13, -1*E(28), E(28)^3, -1*E(28)^13], [1, 1, -1, -1, -1, 1, E(28)^7, -1*E(28)^7, -1*E(28)^7, E(28)^7, -1*E(28)^2, -1*E(28)^6, -1*E(28)^10, E(28)^12, E(28)^8, E(28)^4, E(28)^10, -1*E(28)^4, E(28)^6, -1*E(28)^12, E(28)^4, E(28)^12, -1*E(28)^2, E(28)^2, E(28)^10, E(28)^8, -1*E(28)^6, -1*E(28)^10, E(28)^6, -1*E(28)^8, 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E(28)^5, -1*E(28)^13, E(28)^3, E(28)^9, E(28), -1*E(28)^9, -1*E(28)^11, -1*E(28), -1*E(28)^9, -1*E(28)^3, E(28)^11, -1*E(28)^5, E(28)^3], [1, 1, -1, -1, -1, 1, E(28)^7, -1*E(28)^7, -1*E(28)^7, E(28)^7, E(28)^8, -1*E(28)^10, E(28)^12, -1*E(28)^6, E(28)^4, -1*E(28)^2, -1*E(28)^12, E(28)^2, E(28)^10, E(28)^6, -1*E(28)^2, -1*E(28)^6, E(28)^8, -1*E(28)^8, -1*E(28)^12, E(28)^4, -1*E(28)^10, E(28)^12, E(28)^10, -1*E(28)^4, -1*E(28)^8, E(28)^2, -1*E(28)^4, E(28)^6, -1*E(28)^8, E(28)^8, -1*E(28)^12, -1*E(28)^4, -1*E(28)^10, E(28)^10, E(28)^12, -1*E(28)^6, E(28)^2, E(28)^4, -1*E(28)^2, E(28)^6, E(28)^3, E(28)^13, -1*E(28), E(28)^11, -1*E(28), E(28)^9, -1*E(28)^13, E(28), -1*E(28)^5, -1*E(28)^3, -1*E(28)^9, -1*E(28)^9, E(28), -1*E(28)^11, -1*E(28)^5, -1*E(28)^13, E(28)^5, E(28)^3, E(28)^13, E(28)^5, E(28)^11, -1*E(28)^3, E(28)^9, -1*E(28)^11], [1, 1, -1, -1, -1, 1, -1*E(28)^7, E(28)^7, E(28)^7, -1*E(28)^7, E(28)^8, -1*E(28)^10, E(28)^12, -1*E(28)^6, E(28)^4, -1*E(28)^2, -1*E(28)^12, E(28)^2, E(28)^10, E(28)^6, -1*E(28)^2, -1*E(28)^6, E(28)^8, -1*E(28)^8, -1*E(28)^12, E(28)^4, -1*E(28)^10, E(28)^12, E(28)^10, -1*E(28)^4, -1*E(28)^8, E(28)^2, -1*E(28)^4, E(28)^6, -1*E(28)^8, E(28)^8, -1*E(28)^12, -1*E(28)^4, -1*E(28)^10, E(28)^10, E(28)^12, -1*E(28)^6, E(28)^2, E(28)^4, -1*E(28)^2, E(28)^6, -1*E(28)^3, -1*E(28)^13, E(28), -1*E(28)^11, E(28), -1*E(28)^9, E(28)^13, -1*E(28), E(28)^5, E(28)^3, E(28)^9, E(28)^9, -1*E(28), E(28)^11, E(28)^5, E(28)^13, -1*E(28)^5, -1*E(28)^3, -1*E(28)^13, -1*E(28)^5, -1*E(28)^11, E(28)^3, -1*E(28)^9, E(28)^11], [1, 1, -1, -1, -1, 1, E(28)^7, -1*E(28)^7, -1*E(28)^7, E(28)^7, -1*E(28)^6, E(28)^4, -1*E(28)^2, E(28)^8, -1*E(28)^10, E(28)^12, E(28)^2, -1*E(28)^12, -1*E(28)^4, -1*E(28)^8, E(28)^12, E(28)^8, -1*E(28)^6, E(28)^6, E(28)^2, -1*E(28)^10, E(28)^4, -1*E(28)^2, -1*E(28)^4, E(28)^10, E(28)^6, -1*E(28)^12, E(28)^10, -1*E(28)^8, E(28)^6, -1*E(28)^6, E(28)^2, E(28)^10, E(28)^4, -1*E(28)^4, -1*E(28)^2, E(28)^8, -1*E(28)^12, -1*E(28)^10, E(28)^12, 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E(28)^7, -1*E(28)^7, -1*E(28)^7, E(28)^7, E(28)^4, E(28)^12, -1*E(28)^6, -1*E(28)^10, -1*E(28)^2, E(28)^8, E(28)^6, -1*E(28)^8, -1*E(28)^12, E(28)^10, E(28)^8, -1*E(28)^10, E(28)^4, -1*E(28)^4, E(28)^6, -1*E(28)^2, E(28)^12, -1*E(28)^6, -1*E(28)^12, E(28)^2, -1*E(28)^4, -1*E(28)^8, E(28)^2, E(28)^10, -1*E(28)^4, E(28)^4, E(28)^6, E(28)^2, E(28)^12, -1*E(28)^12, -1*E(28)^6, -1*E(28)^10, -1*E(28)^8, -1*E(28)^2, E(28)^8, E(28)^10, -1*E(28)^5, -1*E(28)^3, E(28)^11, -1*E(28)^9, E(28)^11, E(28), E(28)^3, -1*E(28)^11, -1*E(28)^13, E(28)^5, -1*E(28), -1*E(28), -1*E(28)^11, E(28)^9, -1*E(28)^13, E(28)^3, E(28)^13, -1*E(28)^5, -1*E(28)^3, E(28)^13, -1*E(28)^9, E(28)^5, E(28), E(28)^9], [1, 1, -1, -1, -1, 1, -1*E(28)^7, E(28)^7, E(28)^7, -1*E(28)^7, E(28)^4, E(28)^12, -1*E(28)^6, -1*E(28)^10, -1*E(28)^2, E(28)^8, E(28)^6, -1*E(28)^8, -1*E(28)^12, E(28)^10, E(28)^8, -1*E(28)^10, E(28)^4, -1*E(28)^4, E(28)^6, -1*E(28)^2, E(28)^12, -1*E(28)^6, -1*E(28)^12, E(28)^2, -1*E(28)^4, -1*E(28)^8, E(28)^2, 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E(28)^7, -1*E(28)^6, E(28)^4, -1*E(28)^2, E(28)^8, -1*E(28)^10, E(28)^12, E(28)^2, -1*E(28)^12, -1*E(28)^4, -1*E(28)^8, E(28)^12, E(28)^8, -1*E(28)^6, E(28)^6, E(28)^2, -1*E(28)^10, E(28)^4, -1*E(28)^2, -1*E(28)^4, E(28)^10, E(28)^6, -1*E(28)^12, E(28)^10, -1*E(28)^8, -1*E(28)^6, E(28)^6, -1*E(28)^2, -1*E(28)^10, -1*E(28)^4, E(28)^4, E(28)^2, -1*E(28)^8, E(28)^12, E(28)^10, -1*E(28)^12, E(28)^8, E(28)^11, E(28), -1*E(28)^13, -1*E(28)^3, E(28)^13, -1*E(28)^5, E(28), -1*E(28)^13, E(28)^9, E(28)^11, E(28)^5, -1*E(28)^5, E(28)^13, -1*E(28)^3, -1*E(28)^9, -1*E(28), E(28)^9, -1*E(28)^11, -1*E(28), -1*E(28)^9, E(28)^3, -1*E(28)^11, E(28)^5, E(28)^3], [1, 1, -1, -1, 1, -1, E(28)^7, -1*E(28)^7, E(28)^7, -1*E(28)^7, E(28)^8, -1*E(28)^10, E(28)^12, -1*E(28)^6, E(28)^4, -1*E(28)^2, -1*E(28)^12, E(28)^2, E(28)^10, E(28)^6, -1*E(28)^2, -1*E(28)^6, E(28)^8, -1*E(28)^8, -1*E(28)^12, E(28)^4, -1*E(28)^10, E(28)^12, E(28)^10, -1*E(28)^4, -1*E(28)^8, E(28)^2, -1*E(28)^4, E(28)^6, E(28)^8, -1*E(28)^8, E(28)^12, E(28)^4, E(28)^10, -1*E(28)^10, -1*E(28)^12, E(28)^6, -1*E(28)^2, -1*E(28)^4, E(28)^2, -1*E(28)^6, -1*E(28)^3, -1*E(28)^13, E(28), E(28)^11, -1*E(28), E(28)^9, -1*E(28)^13, E(28), -1*E(28)^5, -1*E(28)^3, -1*E(28)^9, E(28)^9, -1*E(28), E(28)^11, E(28)^5, E(28)^13, -1*E(28)^5, E(28)^3, E(28)^13, E(28)^5, -1*E(28)^11, E(28)^3, -1*E(28)^9, -1*E(28)^11], [1, 1, -1, -1, 1, -1, -1*E(28)^7, E(28)^7, -1*E(28)^7, E(28)^7, E(28)^8, -1*E(28)^10, E(28)^12, -1*E(28)^6, E(28)^4, -1*E(28)^2, -1*E(28)^12, E(28)^2, E(28)^10, E(28)^6, -1*E(28)^2, -1*E(28)^6, E(28)^8, -1*E(28)^8, -1*E(28)^12, E(28)^4, -1*E(28)^10, E(28)^12, E(28)^10, -1*E(28)^4, -1*E(28)^8, E(28)^2, -1*E(28)^4, E(28)^6, E(28)^8, -1*E(28)^8, E(28)^12, E(28)^4, E(28)^10, -1*E(28)^10, -1*E(28)^12, E(28)^6, -1*E(28)^2, -1*E(28)^4, E(28)^2, -1*E(28)^6, E(28)^3, E(28)^13, -1*E(28), -1*E(28)^11, E(28), -1*E(28)^9, E(28)^13, -1*E(28), E(28)^5, E(28)^3, E(28)^9, -1*E(28)^9, E(28), -1*E(28)^11, -1*E(28)^5, -1*E(28)^13, E(28)^5, -1*E(28)^3, -1*E(28)^13, -1*E(28)^5, E(28)^11, -1*E(28)^3, E(28)^9, E(28)^11], [1, 1, -1, -1, 1, -1, E(28)^7, -1*E(28)^7, E(28)^7, -1*E(28)^7, -1*E(28)^6, E(28)^4, -1*E(28)^2, E(28)^8, -1*E(28)^10, E(28)^12, E(28)^2, -1*E(28)^12, -1*E(28)^4, -1*E(28)^8, E(28)^12, E(28)^8, -1*E(28)^6, E(28)^6, E(28)^2, -1*E(28)^10, E(28)^4, -1*E(28)^2, -1*E(28)^4, E(28)^10, E(28)^6, -1*E(28)^12, E(28)^10, -1*E(28)^8, -1*E(28)^6, E(28)^6, -1*E(28)^2, -1*E(28)^10, -1*E(28)^4, E(28)^4, E(28)^2, -1*E(28)^8, E(28)^12, E(28)^10, -1*E(28)^12, E(28)^8, -1*E(28)^11, -1*E(28), E(28)^13, E(28)^3, -1*E(28)^13, E(28)^5, -1*E(28), E(28)^13, -1*E(28)^9, -1*E(28)^11, -1*E(28)^5, E(28)^5, -1*E(28)^13, E(28)^3, E(28)^9, E(28), -1*E(28)^9, E(28)^11, E(28), E(28)^9, -1*E(28)^3, E(28)^11, -1*E(28)^5, -1*E(28)^3], [1, 1, -1, -1, 1, -1, -1*E(28)^7, E(28)^7, -1*E(28)^7, E(28)^7, -1*E(28)^10, -1*E(28)^2, E(28)^8, E(28)^4, E(28)^12, -1*E(28)^6, -1*E(28)^8, E(28)^6, E(28)^2, -1*E(28)^4, -1*E(28)^6, E(28)^4, -1*E(28)^10, E(28)^10, -1*E(28)^8, E(28)^12, -1*E(28)^2, E(28)^8, E(28)^2, -1*E(28)^12, E(28)^10, E(28)^6, -1*E(28)^12, -1*E(28)^4, -1*E(28)^10, E(28)^10, E(28)^8, E(28)^12, E(28)^2, -1*E(28)^2, -1*E(28)^8, -1*E(28)^4, -1*E(28)^6, -1*E(28)^12, E(28)^6, E(28)^4, -1*E(28)^9, -1*E(28)^11, E(28)^3, E(28)^5, -1*E(28)^3, -1*E(28)^13, -1*E(28)^11, E(28)^3, E(28), -1*E(28)^9, E(28)^13, -1*E(28)^13, -1*E(28)^3, E(28)^5, -1*E(28), E(28)^11, E(28), E(28)^9, E(28)^11, -1*E(28), -1*E(28)^5, E(28)^9, E(28)^13, -1*E(28)^5], [1, 1, -1, -1, 1, -1, E(28)^7, -1*E(28)^7, E(28)^7, -1*E(28)^7, E(28)^4, E(28)^12, -1*E(28)^6, -1*E(28)^10, -1*E(28)^2, E(28)^8, E(28)^6, -1*E(28)^8, -1*E(28)^12, E(28)^10, E(28)^8, -1*E(28)^10, E(28)^4, -1*E(28)^4, E(28)^6, -1*E(28)^2, E(28)^12, -1*E(28)^6, -1*E(28)^12, E(28)^2, -1*E(28)^4, -1*E(28)^8, E(28)^2, E(28)^10, E(28)^4, -1*E(28)^4, -1*E(28)^6, -1*E(28)^2, -1*E(28)^12, E(28)^12, E(28)^6, E(28)^10, E(28)^8, E(28)^2, -1*E(28)^8, -1*E(28)^10, E(28)^5, E(28)^3, -1*E(28)^11, -1*E(28)^9, E(28)^11, E(28), E(28)^3, -1*E(28)^11, -1*E(28)^13, E(28)^5, -1*E(28), E(28), E(28)^11, -1*E(28)^9, E(28)^13, -1*E(28)^3, -1*E(28)^13, -1*E(28)^5, -1*E(28)^3, E(28)^13, E(28)^9, -1*E(28)^5, -1*E(28), E(28)^9], [1, 1, -1, -1, 1, -1, -1*E(28)^7, E(28)^7, -1*E(28)^7, E(28)^7, E(28)^4, E(28)^12, -1*E(28)^6, -1*E(28)^10, -1*E(28)^2, E(28)^8, E(28)^6, -1*E(28)^8, -1*E(28)^12, E(28)^10, E(28)^8, -1*E(28)^10, E(28)^4, -1*E(28)^4, E(28)^6, -1*E(28)^2, E(28)^12, -1*E(28)^6, -1*E(28)^12, E(28)^2, -1*E(28)^4, -1*E(28)^8, E(28)^2, E(28)^10, E(28)^4, -1*E(28)^4, -1*E(28)^6, -1*E(28)^2, -1*E(28)^12, E(28)^12, E(28)^6, E(28)^10, E(28)^8, E(28)^2, -1*E(28)^8, -1*E(28)^10, -1*E(28)^5, -1*E(28)^3, E(28)^11, E(28)^9, -1*E(28)^11, -1*E(28), -1*E(28)^3, E(28)^11, E(28)^13, -1*E(28)^5, E(28), -1*E(28), -1*E(28)^11, E(28)^9, -1*E(28)^13, E(28)^3, E(28)^13, E(28)^5, E(28)^3, -1*E(28)^13, -1*E(28)^9, E(28)^5, E(28), -1*E(28)^9], [1, 1, -1, -1, 1, -1, E(28)^7, -1*E(28)^7, E(28)^7, -1*E(28)^7, -1*E(28)^10, -1*E(28)^2, E(28)^8, E(28)^4, E(28)^12, -1*E(28)^6, -1*E(28)^8, E(28)^6, E(28)^2, -1*E(28)^4, -1*E(28)^6, E(28)^4, -1*E(28)^10, E(28)^10, -1*E(28)^8, E(28)^12, -1*E(28)^2, E(28)^8, E(28)^2, -1*E(28)^12, E(28)^10, E(28)^6, -1*E(28)^12, -1*E(28)^4, -1*E(28)^10, E(28)^10, E(28)^8, E(28)^12, E(28)^2, -1*E(28)^2, -1*E(28)^8, -1*E(28)^4, -1*E(28)^6, -1*E(28)^12, E(28)^6, E(28)^4, E(28)^9, E(28)^11, -1*E(28)^3, -1*E(28)^5, E(28)^3, E(28)^13, E(28)^11, -1*E(28)^3, -1*E(28), E(28)^9, -1*E(28)^13, E(28)^13, E(28)^3, -1*E(28)^5, E(28), -1*E(28)^11, -1*E(28), -1*E(28)^9, -1*E(28)^11, E(28), E(28)^5, -1*E(28)^9, -1*E(28)^13, E(28)^5], [2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -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], [2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 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], [2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 2*E(7)^-3, 2*E(7)^-2, 2*E(7)^-1, 2*E(7)^3, 2*E(7)^2, 2*E(7), 2*E(7)^-1, 2*E(7), 2*E(7)^-2, 2*E(7)^3, -2*E(7), -2*E(7)^3, -2*E(7)^-3, -2*E(7)^-3, -2*E(7)^-1, -2*E(7)^2, -2*E(7)^-2, -2*E(7)^-1, -2*E(7)^-2, 2*E(7)^2, 2*E(7)^-3, -2*E(7), -2*E(7)^2, -2*E(7)^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], [2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 2*E(7)^3, 2*E(7)^2, 2*E(7), 2*E(7)^-3, 2*E(7)^-2, 2*E(7)^-1, 2*E(7), 2*E(7)^-1, 2*E(7)^2, 2*E(7)^-3, -2*E(7)^-1, -2*E(7)^-3, -2*E(7)^3, -2*E(7)^3, -2*E(7), -2*E(7)^-2, -2*E(7)^2, -2*E(7), -2*E(7)^2, 2*E(7)^-2, 2*E(7)^3, -2*E(7)^-1, -2*E(7)^-2, -2*E(7)^-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], [2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 2*E(7)^-2, 2*E(7), 2*E(7)^-3, 2*E(7)^2, 2*E(7)^-1, 2*E(7)^3, 2*E(7)^-3, 2*E(7)^3, 2*E(7), 2*E(7)^2, -2*E(7)^3, -2*E(7)^2, -2*E(7)^-2, -2*E(7)^-2, -2*E(7)^-3, -2*E(7)^-1, -2*E(7), -2*E(7)^-3, -2*E(7), 2*E(7)^-1, 2*E(7)^-2, -2*E(7)^3, -2*E(7)^-1, -2*E(7)^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], [2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 2*E(7)^2, 2*E(7)^-1, 2*E(7)^3, 2*E(7)^-2, 2*E(7), 2*E(7)^-3, 2*E(7)^3, 2*E(7)^-3, 2*E(7)^-1, 2*E(7)^-2, -2*E(7)^-3, -2*E(7)^-2, -2*E(7)^2, -2*E(7)^2, -2*E(7)^3, -2*E(7), -2*E(7)^-1, -2*E(7)^3, -2*E(7)^-1, 2*E(7), 2*E(7)^2, -2*E(7)^-3, -2*E(7), -2*E(7)^-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], [2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 2*E(7)^-1, 2*E(7)^-3, 2*E(7)^2, 2*E(7), 2*E(7)^3, 2*E(7)^-2, 2*E(7)^2, 2*E(7)^-2, 2*E(7)^-3, 2*E(7), -2*E(7)^-2, -2*E(7), -2*E(7)^-1, -2*E(7)^-1, -2*E(7)^2, -2*E(7)^3, -2*E(7)^-3, -2*E(7)^2, -2*E(7)^-3, 2*E(7)^3, 2*E(7)^-1, -2*E(7)^-2, -2*E(7)^3, -2*E(7), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 2*E(7), 2*E(7)^3, 2*E(7)^-2, 2*E(7)^-1, 2*E(7)^-3, 2*E(7)^2, 2*E(7)^-2, 2*E(7)^2, 2*E(7)^3, 2*E(7)^-1, -2*E(7)^2, -2*E(7)^-1, -2*E(7), -2*E(7), -2*E(7)^-2, -2*E(7)^-3, -2*E(7)^3, -2*E(7)^-2, -2*E(7)^3, 2*E(7)^-3, 2*E(7), -2*E(7)^2, -2*E(7)^-3, -2*E(7)^-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], [2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 2*E(7)^-3, 2*E(7)^-2, 2*E(7)^-1, 2*E(7)^3, 2*E(7)^2, 2*E(7), -2*E(7)^-1, -2*E(7), -2*E(7)^-2, -2*E(7)^3, -2*E(7), -2*E(7)^3, -2*E(7)^-3, 2*E(7)^-3, 2*E(7)^-1, -2*E(7)^2, -2*E(7)^-2, -2*E(7)^-1, 2*E(7)^-2, -2*E(7)^2, -2*E(7)^-3, 2*E(7), 2*E(7)^2, 2*E(7)^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], [2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 2*E(7)^3, 2*E(7)^2, 2*E(7), 2*E(7)^-3, 2*E(7)^-2, 2*E(7)^-1, -2*E(7), -2*E(7)^-1, -2*E(7)^2, -2*E(7)^-3, -2*E(7)^-1, -2*E(7)^-3, -2*E(7)^3, 2*E(7)^3, 2*E(7), -2*E(7)^-2, -2*E(7)^2, -2*E(7), 2*E(7)^2, -2*E(7)^-2, -2*E(7)^3, 2*E(7)^-1, 2*E(7)^-2, 2*E(7)^-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], [2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 2*E(7)^-2, 2*E(7), 2*E(7)^-3, 2*E(7)^2, 2*E(7)^-1, 2*E(7)^3, -2*E(7)^-3, -2*E(7)^3, -2*E(7), -2*E(7)^2, -2*E(7)^3, -2*E(7)^2, -2*E(7)^-2, 2*E(7)^-2, 2*E(7)^-3, -2*E(7)^-1, -2*E(7), -2*E(7)^-3, 2*E(7), -2*E(7)^-1, -2*E(7)^-2, 2*E(7)^3, 2*E(7)^-1, 2*E(7)^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], [2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 2*E(7)^2, 2*E(7)^-1, 2*E(7)^3, 2*E(7)^-2, 2*E(7), 2*E(7)^-3, -2*E(7)^3, -2*E(7)^-3, -2*E(7)^-1, -2*E(7)^-2, -2*E(7)^-3, -2*E(7)^-2, -2*E(7)^2, 2*E(7)^2, 2*E(7)^3, -2*E(7), -2*E(7)^-1, -2*E(7)^3, 2*E(7)^-1, -2*E(7), -2*E(7)^2, 2*E(7)^-3, 2*E(7), 2*E(7)^-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], [2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 2*E(7)^-1, 2*E(7)^-3, 2*E(7)^2, 2*E(7), 2*E(7)^3, 2*E(7)^-2, -2*E(7)^2, -2*E(7)^-2, -2*E(7)^-3, -2*E(7), -2*E(7)^-2, -2*E(7), -2*E(7)^-1, 2*E(7)^-1, 2*E(7)^2, -2*E(7)^3, -2*E(7)^-3, -2*E(7)^2, 2*E(7)^-3, -2*E(7)^3, -2*E(7)^-1, 2*E(7)^-2, 2*E(7)^3, 2*E(7), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 2*E(7), 2*E(7)^3, 2*E(7)^-2, 2*E(7)^-1, 2*E(7)^-3, 2*E(7)^2, -2*E(7)^-2, -2*E(7)^2, -2*E(7)^3, -2*E(7)^-1, -2*E(7)^2, -2*E(7)^-1, -2*E(7), 2*E(7), 2*E(7)^-2, -2*E(7)^-3, -2*E(7)^3, -2*E(7)^-2, 2*E(7)^3, -2*E(7)^-3, -2*E(7), 2*E(7)^2, 2*E(7)^-3, 2*E(7)^-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]]; ConvertToLibraryCharacterTableNC(chartbl_112_20);