# Group 400.81 downloaded from the LMFDB on 16 November 2025. 
 
## Various presentations of this group are stored in this file: 
#	 GPC is polycyclic presentation GPerm is permutation group 
#	 GLZ, GLFp, GLZA, GLZq, GLFq if they exist are matrix groups 
 
# Many characteristics of the group are stored as booleans in a record: 
#	 Agroup, Zgroup, abelian, almost_simple,cyclic, metabelian, 
#	 metacyclic, monomial, nilpotent, perfect, quasisimple, rational, 
#	 solvable, supersolvable 
 
# The character table is stored as a record chartbl_n_i where n is the order 
# of the group and i is which group of that order it is. The record is 
# converted to a character table using ConvertToLibraryCharacterTableNC 

 
# Constructions 
GPC := PcGroupCode(132381481820413863489587,400); a := GPC.1; b := GPC.5;
GPerm := Group( (1,2,4,6,3,5,7,8)(15,16)(17,18), (1,3)(2,5)(4,7)(6,8)(19,20), (9,10,11,12,13), (1,4,3,7)(2,6,5,8), (1,3)(2,5)(4,7)(6,8), (14,15,17,18,16) );
GLZN := Group([[[ZmodnZObj(25,33), ZmodnZObj(0,33)], [ZmodnZObj(0,33), ZmodnZObj(25,33)]],[[ZmodnZObj(22,33), ZmodnZObj(5,33)], [ZmodnZObj(20,33), ZmodnZObj(0,33)]],[[ZmodnZObj(25,33), ZmodnZObj(0,33)], [ZmodnZObj(0,33), ZmodnZObj(1,33)]],[[ZmodnZObj(23,33), ZmodnZObj(0,33)], [ZmodnZObj(0,33), ZmodnZObj(23,33)]],[[ZmodnZObj(10,33), ZmodnZObj(0,33)], [ZmodnZObj(0,33), ZmodnZObj(10,33)]],[[ZmodnZObj(23,33), ZmodnZObj(11,33)], [ZmodnZObj(11,33), ZmodnZObj(1,33)]]]);

 
# Booleans 
booleans_400_81 := rec( 
Agroup := true,
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_400_81:=rec(); 
chartbl_400_81.IsFinite:= true; 
chartbl_400_81.UnderlyingCharacteristic:= 0; 
chartbl_400_81.UnderlyingGroup:= GPC;
chartbl_400_81.Size:= 400;
chartbl_400_81.InfoText:= "Character table for group 400.81 downloaded from the LMFDB."; 
chartbl_400_81.Identifier:= " C10:C40 "; 
chartbl_400_81.NrConjugacyClasses:= 160; 
chartbl_400_81.ConjugacyClasses:= [<identity> of ..., f5*f6^2, f3*f4^2*f5*f6^2, f3*f4^2, f2*f4*f5*f6^2, f2*f3*f4^3*f5*f6^2, f2*f4, f2*f3*f4^3, f4^2, f4^3, f4^4, f4, f6, f6^2, f4^2*f6, f4^3*f6^4, f4^4*f6^2, f4*f6^3, f4*f6, f4^4*f6^4, f4^2*f6^2, f4^3*f6^3, f1*f3, f1*f2*f4^4, f1*f2*f3*f4, f1*f4^3, f1*f3*f5, f1*f2*f4^4*f5, f1*f2*f3*f4*f5, f1*f4^3*f5, f4*f5*f6^2, f4^4*f5*f6^2, f4^3*f5*f6^2, f4^2*f5*f6^2, f3*f5*f6^2, f3*f4^4*f5*f6^2, f3*f4*f5*f6^2, f3*f4^3*f5*f6^2, f3, f3*f4^4, f3*f4, f3*f4^3, f5, f5*f6, f3*f4^2*f5, f3*f4^2*f5*f6, f3*f4^2*f6^2, f3*f4^2*f6, f4*f5, f4^4*f5, f4^3*f5*f6, f4^2*f5*f6, f3*f5, f3*f4^4*f5, f3*f4*f5*f6, f3*f4^3*f5*f6, f4^2*f5, f4^3*f5, f4*f5*f6, f4^4*f5*f6, f3*f5*f6, f3*f4^4*f5*f6, f3*f4*f5, f3*f4^3*f5, f3*f6^2, f3*f4^4*f6^3, f3*f4*f6, f3*f4^3*f6^4, f3*f6, f3*f4^4*f6^4, f3*f4*f6^3, f3*f4^3*f6^2, f2*f5*f6^2, f2*f3*f4^4*f5*f6^2, f2*f3*f5*f6^2, f2*f4^4*f5*f6^2, f2*f3*f4*f5*f6^2, f2*f4^3*f5*f6^2, f2*f4^2*f5*f6^2, f2*f3*f4^2*f5*f6^2, f2, f2*f3*f4^4, f2*f3, f2*f4^4, f2*f3*f4, f2*f4^3, f2*f4^2, f2*f3*f4^2, f2*f4*f6, f2*f3*f4^3*f6, f2*f3*f4^3*f6^2, f2*f4*f6^2, f2*f4*f5, f2*f3*f4^3*f5, f2*f3*f4^3*f5*f6, f2*f4*f5*f6, f2*f6, f2*f3*f4^4*f6, f2*f3*f6^2, f2*f4^4*f6^2, f2*f3*f4*f6^2, f2*f4^3*f6^2, f2*f4^2*f6, f2*f3*f4^2*f6, f2*f5, f2*f3*f4^4*f5, f2*f3*f5*f6, f2*f4^4*f5*f6, f2*f3*f4*f5*f6, f2*f4^3*f5*f6, f2*f4^2*f5, f2*f3*f4^2*f5, f2*f6^2, f2*f3*f4^4*f6^2, f2*f3*f6, f2*f4^4*f6, f2*f3*f4*f6, f2*f4^3*f6, f2*f4^2*f6^2, f2*f3*f4^2*f6^2, f2*f5*f6, f2*f3*f4^4*f5*f6, f2*f3*f5, f2*f4^4*f5, f2*f3*f4*f5, f2*f4^3*f5, f2*f4^2*f5*f6, f2*f3*f4^2*f5*f6, f1, f1*f2*f3*f4^4, f1*f2, f1*f3*f4^4, f1*f2*f3, f1*f4^4, f1*f4, f1*f2*f3*f4^3, f1*f2*f4, f1*f3*f4^3, f1*f3*f4, f1*f2*f4^3, f1*f4^2, f1*f2*f3*f4^2, f1*f2*f4^2, f1*f3*f4^2, f1*f5, f1*f2*f3*f4^4*f5, f1*f2*f5, f1*f3*f4^4*f5, f1*f2*f3*f5, f1*f4^4*f5, f1*f4*f5, f1*f2*f3*f4^3*f5, f1*f2*f4*f5, f1*f3*f4^3*f5, f1*f3*f4*f5, f1*f2*f4^3*f5, f1*f4^2*f5, f1*f2*f3*f4^2*f5, f1*f2*f4^2*f5, f1*f3*f4^2*f5];
chartbl_400_81.IdentificationOfConjugacyClasses:= [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160];
chartbl_400_81.ComputedPowerMaps:= [ , [1, 1, 1, 1, 4, 4, 4, 4, 11, 12, 10, 9, 14, 13, 17, 18, 16, 15, 21, 22, 20, 19, 7, 8, 8, 7, 7, 8, 8, 7, 9, 10, 12, 11, 12, 11, 10, 9, 12, 11, 10, 9, 13, 14, 13, 14, 13, 14, 15, 16, 18, 17, 19, 20, 22, 21, 20, 19, 21, 22, 18, 17, 16, 15, 19, 20, 22, 21, 18, 17, 16, 15, 39, 40, 41, 42, 42, 41, 40, 39, 39, 40, 41, 42, 42, 41, 40, 39, 47, 47, 48, 48, 48, 48, 47, 47, 65, 66, 67, 68, 68, 67, 66, 65, 69, 70, 71, 72, 72, 71, 70, 69, 69, 70, 71, 72, 72, 71, 70, 69, 65, 66, 67, 68, 68, 67, 66, 65, 81, 82, 83, 84, 85, 86, 87, 88, 88, 87, 86, 85, 84, 83, 82, 81, 81, 82, 83, 84, 85, 86, 87, 88, 88, 87, 86, 85, 84, 83, 82, 81], [1, 2, 3, 4, 5, 6, 7, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 26, 25, 24, 23, 30, 29, 28, 27, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 2, 2, 3, 3, 4, 4, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 5, 6, 5, 5, 6, 7, 8, 8, 7, 8, 7, 7, 8, 7, 8, 8, 7, 5, 6, 6, 5, 7, 8, 8, 7, 8, 7, 7, 8, 5, 6, 6, 5, 6, 5, 5, 6, 7, 8, 8, 7, 8, 7, 7, 8, 5, 6, 6, 5, 6, 5, 5, 6, 23, 24, 25, 26, 24, 23, 23, 24, 25, 26, 26, 25, 23, 24, 25, 26, 27, 28, 29, 30, 28, 27, 27, 28, 29, 30, 30, 29, 27, 28, 29, 30]];
chartbl_400_81.SizesCentralizers:= [400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 80, 80, 80, 80, 80, 80, 80, 80, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 400, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80];
chartbl_400_81.ClassNames:= ["1A", "2A", "2B", "2C", "4A1", "4A-1", "4B1", "4B-1", "5A1", "5A-1", "5A2", "5A-2", "5B1", "5B2", "5C1", "5C-1", "5C2", "5C-2", "5D1", "5D-1", "5D2", "5D-2", "8A1", "8A-1", "8A3", "8A-3", "8B1", "8B-1", "8B3", "8B-3", "10A1", "10A-1", "10A3", "10A-3", "10B1", "10B-1", "10B3", "10B-3", "10C1", "10C-1", "10C3", "10C-3", "10D1", "10D3", "10E1", "10E3", "10F1", "10F3", "10G1", "10G-1", "10G3", "10G-3", "10H1", "10H-1", "10H3", "10H-3", "10I1", "10I-1", "10I3", "10I-3", "10J1", "10J-1", "10J3", "10J-3", "10K1", "10K-1", "10K3", "10K-3", "10L1", "10L-1", "10L3", "10L-3", "20A1", "20A-1", "20A3", "20A-3", "20A7", "20A-7", "20A9", "20A-9", "20B1", "20B-1", "20B3", "20B-3", "20B7", "20B-7", "20B9", "20B-9", "20C1", "20C-1", "20C3", "20C-3", "20D1", "20D-1", "20D3", "20D-3", "20E1", "20E-1", "20E3", "20E-3", "20E7", "20E-7", "20E9", "20E-9", "20F1", "20F-1", "20F3", "20F-3", "20F7", "20F-7", "20F9", "20F-9", "20G1", "20G-1", "20G3", "20G-3", "20G7", "20G-7", "20G9", "20G-9", "20H1", "20H-1", "20H3", "20H-3", "20H7", "20H-7", "20H9", "20H-9", "40A1", "40A-1", "40A3", "40A-3", "40A7", "40A-7", "40A9", "40A-9", "40A11", "40A-11", "40A13", "40A-13", "40A17", "40A-17", "40A19", "40A-19", "40B1", "40B-1", "40B3", "40B-3", "40B7", "40B-7", "40B9", "40B-9", "40B11", "40B-11", "40B13", "40B-13", "40B17", "40B-17", "40B19", "40B-19"];
chartbl_400_81.OrderClassRepresentatives:= [1, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40];
chartbl_400_81.Irr:= [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1], [1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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), E(4), -1*E(4), 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, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -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), -1*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*E(4), -1*E(4), E(4), E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), -1*E(4), E(4), -1*E(4), -1*E(4), 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, E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), 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E(20)^9, E(20)^9, -1*E(20)^3, -1*E(20)^9, -1*E(20), -1*E(20)^9, -1*E(20)^7, E(20)^9, -1*E(20)^3, E(20)^3, E(20), -1*E(20)^9, -1*E(20)^7], [1, 1, 1, 1, -1, -1, -1, -1, -1*E(20)^2, E(20)^8, E(20)^4, -1*E(20)^6, 1, -1*E(20)^6, -1*E(20)^6, E(20)^4, -1*E(20)^2, E(20)^4, -1*E(20)^2, E(20)^8, 1, E(20)^8, E(20)^5, -1*E(20)^5, E(20)^5, E(20)^5, -1*E(20)^5, -1*E(20)^5, E(20)^5, -1*E(20)^5, -1*E(20)^2, -1*E(20)^2, E(20)^8, -1*E(20)^6, E(20)^4, E(20)^4, -1*E(20)^2, -1*E(20)^6, -1*E(20)^6, E(20)^8, E(20)^4, E(20)^8, -1*E(20)^6, E(20)^8, 1, 1, 1, -1*E(20)^6, -1*E(20)^2, -1*E(20)^6, E(20)^8, E(20)^8, -1*E(20)^2, E(20)^8, 1, E(20)^4, E(20)^4, E(20)^8, E(20)^4, E(20)^4, -1*E(20)^2, 1, -1*E(20)^2, -1*E(20)^2, -1*E(20)^6, E(20)^4, 1, E(20)^8, -1*E(20)^2, -1*E(20)^6, E(20)^4, -1*E(20)^6, -1*E(20)^8, E(20)^2, -1*E(20)^4, E(20)^2, E(20)^6, E(20)^2, -1*E(20)^8, E(20)^6, -1*E(20)^8, E(20)^6, -1*E(20)^8, E(20)^6, -1*E(20)^4, -1*E(20)^4, -1*E(20)^4, E(20)^2, E(20)^6, -1*E(20)^4, -1*E(20)^4, E(20)^2, -1*E(20)^8, 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-1*E(20)^2, E(20)^4, -1*E(20)^2, 1, 1, 1, E(20)^4, E(20)^8, E(20)^4, -1*E(20)^2, -1*E(20)^2, E(20)^8, -1*E(20)^2, 1, -1*E(20)^6, -1*E(20)^6, -1*E(20)^2, -1*E(20)^6, -1*E(20)^6, E(20)^8, 1, E(20)^8, E(20)^8, E(20)^4, -1*E(20)^6, 1, -1*E(20)^2, E(20)^8, E(20)^4, -1*E(20)^6, E(20)^4, E(20)^2, -1*E(20)^8, E(20)^6, -1*E(20)^8, -1*E(20)^4, -1*E(20)^8, E(20)^2, -1*E(20)^4, E(20)^2, -1*E(20)^4, E(20)^2, -1*E(20)^4, E(20)^6, E(20)^6, E(20)^6, -1*E(20)^8, -1*E(20)^4, E(20)^6, E(20)^6, -1*E(20)^8, E(20)^2, -1, E(20)^6, -1*E(20)^8, -1*E(20)^4, -1*E(20)^4, E(20)^2, E(20)^2, E(20)^6, -1*E(20)^4, -1, E(20)^6, -1, -1, E(20)^2, E(20)^2, -1*E(20)^4, -1, E(20)^6, -1*E(20)^8, -1*E(20)^8, -1, -1*E(20)^4, E(20)^2, E(20)^6, E(20)^6, -1*E(20)^8, -1*E(20)^8, E(20)^2, -1, -1*E(20)^8, -1*E(20)^8, -1*E(20)^4, E(20)^2, -1, -1*E(20)^4, E(20)^9, E(20), -1*E(20)^3, -1*E(20), E(20), -1*E(20)^9, E(20)^3, E(20)^7, -1*E(20)^7, -1*E(20)^3, -1*E(20)^7, -1*E(20), -1*E(20)^7, -1*E(20), -1*E(20)^7, -1*E(20)^3, E(20)^3, E(20)^7, E(20), -1*E(20)^9, -1*E(20)^9, E(20)^3, E(20)^9, E(20), E(20)^9, E(20)^7, -1*E(20)^9, E(20)^3, -1*E(20)^3, -1*E(20), E(20)^9, E(20)^7], [1, 1, 1, 1, -1, -1, -1, -1, -1*E(20)^6, E(20)^4, -1*E(20)^2, E(20)^8, 1, E(20)^8, E(20)^8, -1*E(20)^2, -1*E(20)^6, -1*E(20)^2, -1*E(20)^6, E(20)^4, 1, E(20)^4, -1*E(20)^5, E(20)^5, -1*E(20)^5, -1*E(20)^5, E(20)^5, E(20)^5, -1*E(20)^5, E(20)^5, -1*E(20)^6, -1*E(20)^6, E(20)^4, E(20)^8, -1*E(20)^2, -1*E(20)^2, -1*E(20)^6, E(20)^8, E(20)^8, E(20)^4, -1*E(20)^2, E(20)^4, E(20)^8, E(20)^4, 1, 1, 1, E(20)^8, -1*E(20)^6, E(20)^8, E(20)^4, E(20)^4, -1*E(20)^6, E(20)^4, 1, -1*E(20)^2, -1*E(20)^2, E(20)^4, -1*E(20)^2, -1*E(20)^2, -1*E(20)^6, 1, -1*E(20)^6, -1*E(20)^6, E(20)^8, -1*E(20)^2, 1, E(20)^4, -1*E(20)^6, E(20)^8, -1*E(20)^2, E(20)^8, -1*E(20)^4, E(20)^6, E(20)^2, E(20)^6, -1*E(20)^8, E(20)^6, -1*E(20)^4, -1*E(20)^8, -1*E(20)^4, -1*E(20)^8, -1*E(20)^4, -1*E(20)^8, E(20)^2, E(20)^2, E(20)^2, E(20)^6, -1*E(20)^8, E(20)^2, E(20)^2, E(20)^6, -1*E(20)^4, -1, E(20)^2, E(20)^6, -1*E(20)^8, -1*E(20)^8, -1*E(20)^4, -1*E(20)^4, E(20)^2, -1*E(20)^8, -1, E(20)^2, -1, -1, -1*E(20)^4, -1*E(20)^4, -1*E(20)^8, -1, E(20)^2, E(20)^6, E(20)^6, -1, -1*E(20)^8, -1*E(20)^4, E(20)^2, E(20)^2, E(20)^6, E(20)^6, -1*E(20)^4, -1, E(20)^6, E(20)^6, -1*E(20)^8, -1*E(20)^4, -1, -1*E(20)^8, -1*E(20)^3, -1*E(20)^7, E(20), E(20)^7, -1*E(20)^7, E(20)^3, -1*E(20), -1*E(20)^9, E(20)^9, E(20), E(20)^9, E(20)^7, E(20)^9, E(20)^7, E(20)^9, E(20), -1*E(20), -1*E(20)^9, -1*E(20)^7, E(20)^3, E(20)^3, -1*E(20), -1*E(20)^3, -1*E(20)^7, -1*E(20)^3, -1*E(20)^9, E(20)^3, -1*E(20), E(20), E(20)^7, -1*E(20)^3, -1*E(20)^9], [1, 1, 1, 1, -1, -1, -1, -1, E(20)^4, -1*E(20)^6, E(20)^8, -1*E(20)^2, 1, -1*E(20)^2, -1*E(20)^2, E(20)^8, E(20)^4, E(20)^8, E(20)^4, -1*E(20)^6, 1, -1*E(20)^6, E(20)^5, -1*E(20)^5, E(20)^5, E(20)^5, -1*E(20)^5, -1*E(20)^5, E(20)^5, -1*E(20)^5, E(20)^4, E(20)^4, -1*E(20)^6, -1*E(20)^2, E(20)^8, E(20)^8, E(20)^4, -1*E(20)^2, -1*E(20)^2, -1*E(20)^6, E(20)^8, -1*E(20)^6, -1*E(20)^2, -1*E(20)^6, 1, 1, 1, -1*E(20)^2, E(20)^4, -1*E(20)^2, -1*E(20)^6, -1*E(20)^6, E(20)^4, -1*E(20)^6, 1, E(20)^8, E(20)^8, -1*E(20)^6, E(20)^8, E(20)^8, E(20)^4, 1, E(20)^4, E(20)^4, -1*E(20)^2, E(20)^8, 1, -1*E(20)^6, E(20)^4, -1*E(20)^2, E(20)^8, -1*E(20)^2, E(20)^6, -1*E(20)^4, -1*E(20)^8, -1*E(20)^4, E(20)^2, -1*E(20)^4, E(20)^6, E(20)^2, E(20)^6, E(20)^2, E(20)^6, E(20)^2, -1*E(20)^8, -1*E(20)^8, -1*E(20)^8, -1*E(20)^4, E(20)^2, -1*E(20)^8, -1*E(20)^8, -1*E(20)^4, E(20)^6, -1, -1*E(20)^8, -1*E(20)^4, E(20)^2, E(20)^2, E(20)^6, E(20)^6, -1*E(20)^8, E(20)^2, -1, -1*E(20)^8, -1, -1, E(20)^6, E(20)^6, E(20)^2, -1, -1*E(20)^8, -1*E(20)^4, -1*E(20)^4, -1, E(20)^2, E(20)^6, -1*E(20)^8, -1*E(20)^8, -1*E(20)^4, -1*E(20)^4, E(20)^6, -1, -1*E(20)^4, -1*E(20)^4, E(20)^2, E(20)^6, -1, E(20)^2, E(20)^7, E(20)^3, -1*E(20)^9, -1*E(20)^3, E(20)^3, -1*E(20)^7, E(20)^9, E(20), -1*E(20), -1*E(20)^9, -1*E(20), -1*E(20)^3, -1*E(20), -1*E(20)^3, -1*E(20), -1*E(20)^9, E(20)^9, E(20), E(20)^3, -1*E(20)^7, -1*E(20)^7, E(20)^9, E(20)^7, E(20)^3, E(20)^7, E(20), -1*E(20)^7, E(20)^9, -1*E(20)^9, -1*E(20)^3, E(20)^7, E(20)], [1, 1, 1, 1, -1, -1, -1, -1, -1*E(20)^6, E(20)^4, -1*E(20)^2, E(20)^8, 1, E(20)^8, E(20)^8, -1*E(20)^2, -1*E(20)^6, -1*E(20)^2, -1*E(20)^6, E(20)^4, 1, E(20)^4, E(20)^5, -1*E(20)^5, E(20)^5, E(20)^5, -1*E(20)^5, -1*E(20)^5, E(20)^5, -1*E(20)^5, -1*E(20)^6, -1*E(20)^6, E(20)^4, E(20)^8, -1*E(20)^2, -1*E(20)^2, -1*E(20)^6, E(20)^8, E(20)^8, E(20)^4, -1*E(20)^2, E(20)^4, E(20)^8, E(20)^4, 1, 1, 1, E(20)^8, -1*E(20)^6, E(20)^8, E(20)^4, E(20)^4, -1*E(20)^6, E(20)^4, 1, -1*E(20)^2, -1*E(20)^2, E(20)^4, -1*E(20)^2, -1*E(20)^2, -1*E(20)^6, 1, -1*E(20)^6, -1*E(20)^6, E(20)^8, -1*E(20)^2, 1, E(20)^4, -1*E(20)^6, E(20)^8, -1*E(20)^2, E(20)^8, -1*E(20)^4, E(20)^6, E(20)^2, E(20)^6, -1*E(20)^8, E(20)^6, -1*E(20)^4, -1*E(20)^8, -1*E(20)^4, -1*E(20)^8, -1*E(20)^4, -1*E(20)^8, E(20)^2, E(20)^2, E(20)^2, E(20)^6, -1*E(20)^8, E(20)^2, E(20)^2, E(20)^6, -1*E(20)^4, -1, E(20)^2, E(20)^6, -1*E(20)^8, -1*E(20)^8, -1*E(20)^4, -1*E(20)^4, E(20)^2, -1*E(20)^8, -1, E(20)^2, -1, -1, -1*E(20)^4, -1*E(20)^4, -1*E(20)^8, -1, E(20)^2, E(20)^6, E(20)^6, -1, -1*E(20)^8, -1*E(20)^4, E(20)^2, E(20)^2, E(20)^6, E(20)^6, -1*E(20)^4, -1, E(20)^6, E(20)^6, -1*E(20)^8, -1*E(20)^4, -1, -1*E(20)^8, E(20)^3, E(20)^7, -1*E(20), -1*E(20)^7, E(20)^7, -1*E(20)^3, E(20), E(20)^9, -1*E(20)^9, -1*E(20), -1*E(20)^9, -1*E(20)^7, -1*E(20)^9, -1*E(20)^7, -1*E(20)^9, -1*E(20), E(20), E(20)^9, E(20)^7, -1*E(20)^3, -1*E(20)^3, E(20), E(20)^3, E(20)^7, E(20)^3, E(20)^9, -1*E(20)^3, E(20), -1*E(20), -1*E(20)^7, E(20)^3, E(20)^9], [1, 1, 1, 1, -1, -1, -1, -1, E(20)^4, -1*E(20)^6, E(20)^8, -1*E(20)^2, 1, -1*E(20)^2, -1*E(20)^2, E(20)^8, E(20)^4, E(20)^8, E(20)^4, -1*E(20)^6, 1, -1*E(20)^6, -1*E(20)^5, E(20)^5, -1*E(20)^5, -1*E(20)^5, E(20)^5, E(20)^5, -1*E(20)^5, E(20)^5, E(20)^4, E(20)^4, -1*E(20)^6, -1*E(20)^2, E(20)^8, E(20)^8, E(20)^4, -1*E(20)^2, -1*E(20)^2, -1*E(20)^6, E(20)^8, -1*E(20)^6, -1*E(20)^2, -1*E(20)^6, 1, 1, 1, -1*E(20)^2, E(20)^4, -1*E(20)^2, -1*E(20)^6, -1*E(20)^6, E(20)^4, -1*E(20)^6, 1, E(20)^8, E(20)^8, -1*E(20)^6, E(20)^8, E(20)^8, E(20)^4, 1, E(20)^4, E(20)^4, -1*E(20)^2, E(20)^8, 1, -1*E(20)^6, E(20)^4, -1*E(20)^2, E(20)^8, -1*E(20)^2, E(20)^6, -1*E(20)^4, -1*E(20)^8, -1*E(20)^4, E(20)^2, -1*E(20)^4, E(20)^6, E(20)^2, E(20)^6, E(20)^2, E(20)^6, E(20)^2, -1*E(20)^8, -1*E(20)^8, -1*E(20)^8, -1*E(20)^4, E(20)^2, -1*E(20)^8, -1*E(20)^8, -1*E(20)^4, E(20)^6, -1, -1*E(20)^8, -1*E(20)^4, E(20)^2, E(20)^2, E(20)^6, E(20)^6, -1*E(20)^8, E(20)^2, -1, -1*E(20)^8, -1, -1, E(20)^6, E(20)^6, E(20)^2, -1, -1*E(20)^8, -1*E(20)^4, -1*E(20)^4, -1, E(20)^2, E(20)^6, -1*E(20)^8, -1*E(20)^8, -1*E(20)^4, -1*E(20)^4, E(20)^6, -1, -1*E(20)^4, -1*E(20)^4, E(20)^2, E(20)^6, -1, E(20)^2, -1*E(20)^7, -1*E(20)^3, E(20)^9, E(20)^3, -1*E(20)^3, E(20)^7, -1*E(20)^9, -1*E(20), E(20), E(20)^9, E(20), E(20)^3, E(20), E(20)^3, E(20), E(20)^9, -1*E(20)^9, -1*E(20), -1*E(20)^3, E(20)^7, E(20)^7, -1*E(20)^9, -1*E(20)^7, -1*E(20)^3, -1*E(20)^7, -1*E(20), E(20)^7, -1*E(20)^9, E(20)^9, E(20)^3, -1*E(20)^7, -1*E(20)], [1, -1, 1, -1, -1*E(40)^10, E(40)^10, E(40)^10, -1*E(40)^10, -1*E(40)^4, E(40)^16, E(40)^8, -1*E(40)^12, 1, -1*E(40)^12, -1*E(40)^12, E(40)^8, -1*E(40)^4, E(40)^8, -1*E(40)^4, E(40)^16, 1, E(40)^16, E(40)^15, E(40)^5, E(40)^15, -1*E(40)^15, -1*E(40)^5, -1*E(40)^5, -1*E(40)^15, E(40)^5, -1*E(40)^4, E(40)^4, -1*E(40)^16, -1*E(40)^12, E(40)^8, -1*E(40)^8, E(40)^4, E(40)^12, E(40)^12, -1*E(40)^16, -1*E(40)^8, E(40)^16, -1*E(40)^12, E(40)^16, 1, -1, 1, E(40)^12, E(40)^4, E(40)^12, E(40)^16, -1*E(40)^16, E(40)^4, -1*E(40)^16, -1, -1*E(40)^8, E(40)^8, -1*E(40)^16, E(40)^8, -1*E(40)^8, -1*E(40)^4, -1, E(40)^4, -1*E(40)^4, E(40)^12, -1*E(40)^8, -1, -1*E(40)^16, E(40)^4, E(40)^12, -1*E(40)^8, -1*E(40)^12, -1*E(40)^6, E(40)^14, E(40)^18, E(40)^14, -1*E(40)^2, -1*E(40)^14, E(40)^6, -1*E(40)^2, E(40)^6, E(40)^2, -1*E(40)^6, E(40)^2, -1*E(40)^18, E(40)^18, -1*E(40)^18, -1*E(40)^14, E(40)^2, -1*E(40)^18, -1*E(40)^18, -1*E(40)^14, E(40)^6, E(40)^10, E(40)^18, E(40)^14, -1*E(40)^2, -1*E(40)^2, -1*E(40)^6, -1*E(40)^6, E(40)^18, E(40)^2, -1*E(40)^10, -1*E(40)^18, E(40)^10, E(40)^10, E(40)^6, E(40)^6, E(40)^2, -1*E(40)^10, -1*E(40)^18, -1*E(40)^14, -1*E(40)^14, E(40)^10, E(40)^2, E(40)^6, E(40)^18, E(40)^18, E(40)^14, -1*E(40)^14, -1*E(40)^6, -1*E(40)^10, E(40)^14, E(40)^14, -1*E(40)^2, -1*E(40)^6, -1*E(40)^10, -1*E(40)^2, E(40)^17, E(40)^13, -1*E(40)^9, -1*E(40)^3, E(40)^13, E(40)^7, -1*E(40)^19, E(40)^11, E(40), -1*E(40)^9, -1*E(40), -1*E(40)^3, E(40), E(40)^3, -1*E(40), E(40)^9, E(40)^19, -1*E(40)^11, -1*E(40)^13, -1*E(40)^7, -1*E(40)^7, -1*E(40)^19, -1*E(40)^17, -1*E(40)^13, E(40)^17, E(40)^11, E(40)^7, E(40)^19, E(40)^9, E(40)^3, -1*E(40)^17, -1*E(40)^11], [1, -1, 1, -1, E(40)^10, -1*E(40)^10, -1*E(40)^10, E(40)^10, E(40)^16, -1*E(40)^4, -1*E(40)^12, E(40)^8, 1, E(40)^8, E(40)^8, -1*E(40)^12, E(40)^16, -1*E(40)^12, E(40)^16, -1*E(40)^4, 1, -1*E(40)^4, -1*E(40)^5, -1*E(40)^15, -1*E(40)^5, E(40)^5, E(40)^15, E(40)^15, E(40)^5, -1*E(40)^15, E(40)^16, -1*E(40)^16, E(40)^4, E(40)^8, -1*E(40)^12, E(40)^12, -1*E(40)^16, -1*E(40)^8, -1*E(40)^8, E(40)^4, E(40)^12, -1*E(40)^4, E(40)^8, -1*E(40)^4, 1, -1, 1, -1*E(40)^8, -1*E(40)^16, -1*E(40)^8, -1*E(40)^4, E(40)^4, -1*E(40)^16, E(40)^4, -1, E(40)^12, -1*E(40)^12, E(40)^4, -1*E(40)^12, E(40)^12, E(40)^16, -1, -1*E(40)^16, E(40)^16, -1*E(40)^8, E(40)^12, -1, E(40)^4, -1*E(40)^16, -1*E(40)^8, E(40)^12, E(40)^8, E(40)^14, -1*E(40)^6, -1*E(40)^2, -1*E(40)^6, E(40)^18, E(40)^6, -1*E(40)^14, E(40)^18, -1*E(40)^14, -1*E(40)^18, E(40)^14, -1*E(40)^18, E(40)^2, -1*E(40)^2, E(40)^2, E(40)^6, -1*E(40)^18, E(40)^2, E(40)^2, E(40)^6, -1*E(40)^14, -1*E(40)^10, -1*E(40)^2, -1*E(40)^6, E(40)^18, E(40)^18, E(40)^14, E(40)^14, -1*E(40)^2, -1*E(40)^18, E(40)^10, E(40)^2, -1*E(40)^10, -1*E(40)^10, -1*E(40)^14, -1*E(40)^14, -1*E(40)^18, E(40)^10, E(40)^2, E(40)^6, E(40)^6, -1*E(40)^10, -1*E(40)^18, -1*E(40)^14, -1*E(40)^2, -1*E(40)^2, -1*E(40)^6, E(40)^6, E(40)^14, E(40)^10, -1*E(40)^6, -1*E(40)^6, E(40)^18, E(40)^14, E(40)^10, E(40)^18, -1*E(40)^3, -1*E(40)^7, E(40)^11, E(40)^17, -1*E(40)^7, -1*E(40)^13, E(40), -1*E(40)^9, -1*E(40)^19, E(40)^11, E(40)^19, E(40)^17, -1*E(40)^19, -1*E(40)^17, E(40)^19, -1*E(40)^11, -1*E(40), E(40)^9, E(40)^7, E(40)^13, E(40)^13, E(40), E(40)^3, E(40)^7, -1*E(40)^3, -1*E(40)^9, -1*E(40)^13, -1*E(40), -1*E(40)^11, -1*E(40)^17, E(40)^3, E(40)^9], [1, -1, 1, -1, -1*E(40)^10, E(40)^10, E(40)^10, -1*E(40)^10, -1*E(40)^4, E(40)^16, E(40)^8, -1*E(40)^12, 1, -1*E(40)^12, -1*E(40)^12, E(40)^8, -1*E(40)^4, E(40)^8, -1*E(40)^4, E(40)^16, 1, E(40)^16, -1*E(40)^15, -1*E(40)^5, -1*E(40)^15, E(40)^15, E(40)^5, E(40)^5, E(40)^15, -1*E(40)^5, -1*E(40)^4, E(40)^4, -1*E(40)^16, -1*E(40)^12, E(40)^8, -1*E(40)^8, E(40)^4, E(40)^12, E(40)^12, -1*E(40)^16, -1*E(40)^8, E(40)^16, -1*E(40)^12, E(40)^16, 1, -1, 1, E(40)^12, E(40)^4, E(40)^12, E(40)^16, -1*E(40)^16, E(40)^4, -1*E(40)^16, -1, -1*E(40)^8, E(40)^8, -1*E(40)^16, E(40)^8, -1*E(40)^8, -1*E(40)^4, -1, E(40)^4, -1*E(40)^4, E(40)^12, -1*E(40)^8, -1, -1*E(40)^16, E(40)^4, E(40)^12, -1*E(40)^8, -1*E(40)^12, -1*E(40)^6, E(40)^14, E(40)^18, E(40)^14, -1*E(40)^2, -1*E(40)^14, E(40)^6, -1*E(40)^2, E(40)^6, E(40)^2, -1*E(40)^6, E(40)^2, -1*E(40)^18, E(40)^18, -1*E(40)^18, -1*E(40)^14, E(40)^2, -1*E(40)^18, -1*E(40)^18, -1*E(40)^14, E(40)^6, E(40)^10, E(40)^18, E(40)^14, -1*E(40)^2, -1*E(40)^2, -1*E(40)^6, -1*E(40)^6, E(40)^18, E(40)^2, -1*E(40)^10, -1*E(40)^18, E(40)^10, E(40)^10, E(40)^6, E(40)^6, E(40)^2, -1*E(40)^10, -1*E(40)^18, -1*E(40)^14, -1*E(40)^14, E(40)^10, E(40)^2, E(40)^6, E(40)^18, E(40)^18, E(40)^14, -1*E(40)^14, -1*E(40)^6, -1*E(40)^10, E(40)^14, E(40)^14, -1*E(40)^2, -1*E(40)^6, -1*E(40)^10, -1*E(40)^2, -1*E(40)^17, -1*E(40)^13, E(40)^9, E(40)^3, -1*E(40)^13, -1*E(40)^7, E(40)^19, -1*E(40)^11, -1*E(40), E(40)^9, E(40), E(40)^3, -1*E(40), -1*E(40)^3, E(40), 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-1*E(40)^9, E(40)^13, E(40)^17, -1*E(40)^7, -1*E(40)^3, E(40)^7, -1*E(40), -1*E(40)^7, E(40), E(40)^7, E(40)^3, -1*E(40)^13, -1*E(40)^17, E(40)^11, E(40)^9, E(40)^9, E(40)^13, -1*E(40)^19, E(40)^11, E(40)^19, E(40)^17, -1*E(40)^9, -1*E(40)^13, E(40)^3, E(40), -1*E(40)^19, -1*E(40)^17], [1, -1, 1, -1, -1*E(40)^10, E(40)^10, E(40)^10, -1*E(40)^10, E(40)^8, -1*E(40)^12, E(40)^16, -1*E(40)^4, 1, -1*E(40)^4, -1*E(40)^4, E(40)^16, E(40)^8, E(40)^16, E(40)^8, -1*E(40)^12, 1, -1*E(40)^12, E(40)^15, E(40)^5, E(40)^15, -1*E(40)^15, -1*E(40)^5, -1*E(40)^5, -1*E(40)^15, E(40)^5, E(40)^8, -1*E(40)^8, E(40)^12, -1*E(40)^4, E(40)^16, -1*E(40)^16, -1*E(40)^8, E(40)^4, E(40)^4, E(40)^12, -1*E(40)^16, -1*E(40)^12, -1*E(40)^4, -1*E(40)^12, 1, -1, 1, E(40)^4, -1*E(40)^8, E(40)^4, -1*E(40)^12, E(40)^12, -1*E(40)^8, E(40)^12, -1, -1*E(40)^16, E(40)^16, E(40)^12, E(40)^16, -1*E(40)^16, E(40)^8, -1, -1*E(40)^8, E(40)^8, E(40)^4, -1*E(40)^16, -1, E(40)^12, -1*E(40)^8, E(40)^4, -1*E(40)^16, -1*E(40)^4, E(40)^2, -1*E(40)^18, -1*E(40)^6, -1*E(40)^18, E(40)^14, E(40)^18, -1*E(40)^2, E(40)^14, -1*E(40)^2, -1*E(40)^14, E(40)^2, -1*E(40)^14, E(40)^6, -1*E(40)^6, E(40)^6, E(40)^18, -1*E(40)^14, E(40)^6, E(40)^6, E(40)^18, -1*E(40)^2, E(40)^10, -1*E(40)^6, -1*E(40)^18, E(40)^14, E(40)^14, E(40)^2, E(40)^2, -1*E(40)^6, -1*E(40)^14, -1*E(40)^10, E(40)^6, E(40)^10, E(40)^10, -1*E(40)^2, -1*E(40)^2, -1*E(40)^14, -1*E(40)^10, E(40)^6, E(40)^18, E(40)^18, E(40)^10, -1*E(40)^14, -1*E(40)^2, -1*E(40)^6, -1*E(40)^6, -1*E(40)^18, E(40)^18, E(40)^2, -1*E(40)^10, -1*E(40)^18, -1*E(40)^18, E(40)^14, E(40)^2, -1*E(40)^10, E(40)^14, E(40)^9, -1*E(40), E(40)^13, -1*E(40)^11, -1*E(40), -1*E(40)^19, -1*E(40)^3, -1*E(40)^7, E(40)^17, E(40)^13, -1*E(40)^17, -1*E(40)^11, E(40)^17, E(40)^11, -1*E(40)^17, -1*E(40)^13, E(40)^3, E(40)^7, E(40), E(40)^19, E(40)^19, -1*E(40)^3, -1*E(40)^9, E(40), E(40)^9, -1*E(40)^7, -1*E(40)^19, E(40)^3, -1*E(40)^13, E(40)^11, -1*E(40)^9, E(40)^7], [1, -1, 1, -1, E(40)^10, -1*E(40)^10, -1*E(40)^10, E(40)^10, -1*E(40)^12, E(40)^8, -1*E(40)^4, E(40)^16, 1, E(40)^16, E(40)^16, -1*E(40)^4, -1*E(40)^12, -1*E(40)^4, -1*E(40)^12, E(40)^8, 1, E(40)^8, -1*E(40)^5, -1*E(40)^15, -1*E(40)^5, E(40)^5, E(40)^15, E(40)^15, E(40)^5, -1*E(40)^15, -1*E(40)^12, E(40)^12, -1*E(40)^8, E(40)^16, -1*E(40)^4, E(40)^4, E(40)^12, -1*E(40)^16, -1*E(40)^16, -1*E(40)^8, E(40)^4, E(40)^8, E(40)^16, E(40)^8, 1, -1, 1, -1*E(40)^16, E(40)^12, -1*E(40)^16, E(40)^8, -1*E(40)^8, E(40)^12, -1*E(40)^8, -1, E(40)^4, -1*E(40)^4, -1*E(40)^8, -1*E(40)^4, E(40)^4, -1*E(40)^12, -1, E(40)^12, -1*E(40)^12, -1*E(40)^16, E(40)^4, -1, -1*E(40)^8, E(40)^12, -1*E(40)^16, E(40)^4, E(40)^16, -1*E(40)^18, E(40)^2, E(40)^14, E(40)^2, -1*E(40)^6, -1*E(40)^2, E(40)^18, -1*E(40)^6, E(40)^18, E(40)^6, -1*E(40)^18, E(40)^6, -1*E(40)^14, E(40)^14, -1*E(40)^14, -1*E(40)^2, E(40)^6, -1*E(40)^14, -1*E(40)^14, -1*E(40)^2, E(40)^18, -1*E(40)^10, E(40)^14, E(40)^2, -1*E(40)^6, -1*E(40)^6, -1*E(40)^18, -1*E(40)^18, E(40)^14, E(40)^6, 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E(40)^11, E(40), E(40)^19, E(40)^3, E(40)^7, -1*E(40)^17, -1*E(40)^13, E(40)^17, E(40)^11, -1*E(40)^17, -1*E(40)^11, E(40)^17, E(40)^13, -1*E(40)^3, -1*E(40)^7, -1*E(40), -1*E(40)^19, -1*E(40)^19, E(40)^3, E(40)^9, -1*E(40), -1*E(40)^9, E(40)^7, E(40)^19, -1*E(40)^3, E(40)^13, -1*E(40)^11, E(40)^9, -1*E(40)^7], [1, -1, 1, -1, E(40)^10, -1*E(40)^10, -1*E(40)^10, E(40)^10, -1*E(40)^12, E(40)^8, -1*E(40)^4, E(40)^16, 1, E(40)^16, E(40)^16, -1*E(40)^4, -1*E(40)^12, -1*E(40)^4, -1*E(40)^12, E(40)^8, 1, E(40)^8, E(40)^5, E(40)^15, E(40)^5, -1*E(40)^5, -1*E(40)^15, -1*E(40)^15, -1*E(40)^5, E(40)^15, -1*E(40)^12, E(40)^12, -1*E(40)^8, E(40)^16, -1*E(40)^4, E(40)^4, E(40)^12, -1*E(40)^16, -1*E(40)^16, -1*E(40)^8, E(40)^4, E(40)^8, E(40)^16, E(40)^8, 1, -1, 1, -1*E(40)^16, E(40)^12, -1*E(40)^16, E(40)^8, -1*E(40)^8, E(40)^12, -1*E(40)^8, -1, E(40)^4, -1*E(40)^4, -1*E(40)^8, -1*E(40)^4, E(40)^4, -1*E(40)^12, -1, E(40)^12, -1*E(40)^12, -1*E(40)^16, E(40)^4, -1, -1*E(40)^8, E(40)^12, -1*E(40)^16, 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-1*E(40)^17, E(40), -1*E(40)^7, E(40)^17, E(40)^3, -1*E(40)^11, E(40)^19, E(40)^9, -1*E(40), -1*E(40)^9, E(40)^7, -1*E(40)^9, E(40)^7, E(40)^9, -1*E(40), -1*E(40)^11, E(40)^19, E(40)^17, E(40)^3, -1*E(40)^3, E(40)^11, -1*E(40)^13, -1*E(40)^17, E(40)^13, -1*E(40)^19, -1*E(40)^3, E(40)^11, E(40), -1*E(40)^7, E(40)^13, -1*E(40)^19], [1, 1, -1, -1, -1*E(40)^10, E(40)^10, -1*E(40)^10, E(40)^10, -1*E(40)^4, E(40)^16, E(40)^8, -1*E(40)^12, 1, -1*E(40)^12, -1*E(40)^12, E(40)^8, -1*E(40)^4, E(40)^8, -1*E(40)^4, E(40)^16, 1, E(40)^16, E(40)^5, -1*E(40)^15, -1*E(40)^5, -1*E(40)^5, -1*E(40)^15, E(40)^15, E(40)^5, E(40)^15, E(40)^4, -1*E(40)^4, E(40)^16, E(40)^12, -1*E(40)^8, E(40)^8, E(40)^4, -1*E(40)^12, E(40)^12, -1*E(40)^16, -1*E(40)^8, -1*E(40)^16, E(40)^12, -1*E(40)^16, -1, -1, -1, -1*E(40)^12, -1*E(40)^4, -1*E(40)^12, -1*E(40)^16, E(40)^16, E(40)^4, E(40)^16, 1, E(40)^8, -1*E(40)^8, -1*E(40)^16, -1*E(40)^8, E(40)^8, E(40)^4, 1, -1*E(40)^4, E(40)^4, E(40)^12, -1*E(40)^8, -1, -1*E(40)^16, E(40)^4, E(40)^12, -1*E(40)^8, E(40)^12, -1*E(40)^6, E(40)^14, E(40)^18, -1*E(40)^14, E(40)^2, -1*E(40)^14, E(40)^6, -1*E(40)^2, -1*E(40)^6, -1*E(40)^2, E(40)^6, E(40)^2, -1*E(40)^18, -1*E(40)^18, E(40)^18, E(40)^14, -1*E(40)^2, -1*E(40)^18, E(40)^18, E(40)^14, -1*E(40)^6, -1*E(40)^10, E(40)^18, E(40)^14, -1*E(40)^2, E(40)^2, -1*E(40)^6, E(40)^6, -1*E(40)^18, E(40)^2, E(40)^10, E(40)^18, -1*E(40)^10, E(40)^10, E(40)^6, E(40)^6, -1*E(40)^2, -1*E(40)^10, -1*E(40)^18, -1*E(40)^14, -1*E(40)^14, E(40)^10, E(40)^2, -1*E(40)^6, -1*E(40)^18, E(40)^18, E(40)^14, E(40)^14, E(40)^6, E(40)^10, -1*E(40)^14, -1*E(40)^14, E(40)^2, -1*E(40)^6, -1*E(40)^10, -1*E(40)^2, -1*E(40)^7, -1*E(40)^3, E(40)^19, -1*E(40)^13, E(40)^3, E(40)^17, -1*E(40)^9, E(40), E(40)^11, -1*E(40)^19, -1*E(40)^11, E(40)^13, -1*E(40)^11, E(40)^13, E(40)^11, -1*E(40)^19, -1*E(40)^9, E(40), E(40)^3, E(40)^17, -1*E(40)^17, E(40)^9, -1*E(40)^7, -1*E(40)^3, E(40)^7, -1*E(40), -1*E(40)^17, E(40)^9, E(40)^19, -1*E(40)^13, E(40)^7, -1*E(40)], [1, 1, -1, -1, E(40)^10, -1*E(40)^10, E(40)^10, -1*E(40)^10, E(40)^16, -1*E(40)^4, -1*E(40)^12, E(40)^8, 1, E(40)^8, E(40)^8, -1*E(40)^12, E(40)^16, -1*E(40)^12, E(40)^16, -1*E(40)^4, 1, -1*E(40)^4, -1*E(40)^15, E(40)^5, E(40)^15, E(40)^15, E(40)^5, -1*E(40)^5, -1*E(40)^15, -1*E(40)^5, -1*E(40)^16, E(40)^16, -1*E(40)^4, -1*E(40)^8, E(40)^12, -1*E(40)^12, -1*E(40)^16, E(40)^8, -1*E(40)^8, E(40)^4, E(40)^12, E(40)^4, -1*E(40)^8, E(40)^4, -1, -1, -1, E(40)^8, E(40)^16, E(40)^8, E(40)^4, -1*E(40)^4, -1*E(40)^16, -1*E(40)^4, 1, -1*E(40)^12, E(40)^12, E(40)^4, E(40)^12, -1*E(40)^12, -1*E(40)^16, 1, E(40)^16, -1*E(40)^16, -1*E(40)^8, E(40)^12, -1, E(40)^4, -1*E(40)^16, -1*E(40)^8, E(40)^12, -1*E(40)^8, E(40)^14, -1*E(40)^6, -1*E(40)^2, E(40)^6, -1*E(40)^18, E(40)^6, -1*E(40)^14, E(40)^18, E(40)^14, E(40)^18, -1*E(40)^14, -1*E(40)^18, E(40)^2, E(40)^2, -1*E(40)^2, -1*E(40)^6, E(40)^18, E(40)^2, -1*E(40)^2, -1*E(40)^6, E(40)^14, E(40)^10, -1*E(40)^2, -1*E(40)^6, E(40)^18, 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-2*E(20)^3, -2*E(20)^9, E(20)-E(20)^3-E(20)^7, E(20)-E(20)^3+E(20)^5, E(20)+E(20)^5, E(20)^3-E(20)^5, -1*E(20)-E(20)^5+E(20)^7, E(20)^3+E(20)^7, -1*E(20)+E(20)^3-E(20)^5, -1*E(20)+E(20)^7, E(20)-E(20)^3-E(20)^7, -1*E(20)+E(20)^3+E(20)^7, E(20)^5-E(20)^7, -1*E(20)^5+E(20)^7, E(20)-E(20)^3+E(20)^5, E(20)-E(20)^3, -1*E(20)^3-E(20)^7, -1*E(20)+E(20)^3-E(20)^5, -1*E(20)^3+E(20)^5-E(20)^7, -1*E(20)^3-E(20)^7, -1*E(20)^5+E(20)^7, E(20)+E(20)^5-E(20)^7, -1*E(20)+E(20)^3, -1*E(20)^3+E(20)^5-E(20)^7, -1*E(20)-E(20)^5, E(20)-E(20)^7, -1*E(20)^3+E(20)^5, E(20)^3-E(20)^5+E(20)^7, -1*E(20)+E(20)^3+E(20)^7, E(20)^5-E(20)^7, -1*E(20)-E(20)^5, E(20)+E(20)^5, E(20)^3-E(20)^5, -1*E(20)+E(20)^7, E(20)+E(20)^5-E(20)^7, E(20)^3-E(20)^5+E(20)^7, -1*E(20)^3+E(20)^5, E(20)-E(20)^7, E(20)-E(20)^3, -1*E(20)-E(20)^5+E(20)^7, E(20)^3+E(20)^7, -1*E(20)+E(20)^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], [2, 2, -2, -2, 2*E(20)^5, -2*E(20)^5, 2*E(20)^5, -2*E(20)^5, -2*E(20)^6, 2*E(20)^4, -2*E(20)^2, 2*E(20)^8, -1*E(20)^2-E(20)^-2, 1-E(20)^6, -1*E(20)^2+E(20)^4, -1+E(20)^2-E(20)^4, -1+E(20)^2+E(20)^6, 1+E(20)^4, 1-E(20)^2, E(20)^2-E(20)^4+E(20)^6, E(20)^4+E(20)^-4, -1*E(20)^2-E(20)^6, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(20)^6, -2*E(20)^6, 2*E(20)^4, -2*E(20)^8, 2*E(20)^2, -2*E(20)^2, 2*E(20)^6, 2*E(20)^8, -2*E(20)^8, -2*E(20)^4, 2*E(20)^2, -2*E(20)^4, -1+E(20)^6, -1*E(20)^2+E(20)^4-E(20)^6, -1*E(20)^4-E(20)^-4, E(20)^2+E(20)^-2, E(20)^2+E(20)^-2, -1*E(20)^2+E(20)^4, -1+E(20)^2+E(20)^6, 1-E(20)^6, E(20)^2+E(20)^6, -1*E(20)^2-E(20)^6, -1+E(20)^2, E(20)^2-E(20)^4+E(20)^6, E(20)^4+E(20)^-4, 1+E(20)^4, 1-E(20)^2+E(20)^4, E(20)^2+E(20)^6, -1-E(20)^4, -1+E(20)^2-E(20)^4, -1+E(20)^2, -1*E(20)^2-E(20)^-2, 1-E(20)^2, 1-E(20)^2-E(20)^6, -1+E(20)^6, 1-E(20)^2+E(20)^4, -1*E(20)^4-E(20)^-4, -1*E(20)^2+E(20)^4-E(20)^6, 1-E(20)^2-E(20)^6, E(20)^2-E(20)^4, -1-E(20)^4, E(20)^2-E(20)^4, -2*E(20)^9, 2*E(20), 2*E(20)^7, -2*E(20), 2*E(20)^3, -2*E(20), 2*E(20)^9, -2*E(20)^3, -2*E(20)^9, -2*E(20)^3, 2*E(20)^9, 2*E(20)^3, -2*E(20)^7, -2*E(20)^7, 2*E(20)^7, 2*E(20), E(20)+E(20)^5, E(20)-E(20)^3, E(20)-E(20)^3-E(20)^7, E(20)^5-E(20)^7, -1*E(20)+E(20)^7, -1*E(20)^3-E(20)^7, -1*E(20)+E(20)^3, -1*E(20)-E(20)^5+E(20)^7, E(20)+E(20)^5, -1*E(20)-E(20)^5, E(20)^3-E(20)^5, -1*E(20)^3+E(20)^5, E(20)-E(20)^3, E(20)-E(20)^3+E(20)^5, E(20)^3+E(20)^7, -1*E(20)+E(20)^3, E(20)^3-E(20)^5+E(20)^7, E(20)^3+E(20)^7, -1*E(20)^3+E(20)^5, E(20)-E(20)^7, -1*E(20)+E(20)^3-E(20)^5, E(20)^3-E(20)^5+E(20)^7, -1*E(20)+E(20)^3+E(20)^7, E(20)+E(20)^5-E(20)^7, -1*E(20)^5+E(20)^7, -1*E(20)^3+E(20)^5-E(20)^7, -1*E(20)-E(20)^5, E(20)^3-E(20)^5, -1*E(20)+E(20)^3+E(20)^7, E(20)-E(20)^3-E(20)^7, E(20)^5-E(20)^7, -1*E(20)-E(20)^5+E(20)^7, E(20)-E(20)^7, -1*E(20)^3+E(20)^5-E(20)^7, -1*E(20)^5+E(20)^7, E(20)+E(20)^5-E(20)^7, E(20)-E(20)^3+E(20)^5, -1*E(20)+E(20)^7, -1*E(20)^3-E(20)^7, -1*E(20)+E(20)^3-E(20)^5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]];
ConvertToLibraryCharacterTableNC(chartbl_400_81);