# Group 729.122 downloaded from the LMFDB on 13 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(10032148120672,729); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.4; e := GPC.5; f := GPC.6;
GPerm := Group( (1,2,3)(4,5,7)(6,8,9)(10,11,15)(12,17,13)(14,16,18)(20,24,26)(21,27,25), (1,3,7)(2,6,9)(4,8,5)(11,16,12)(15,17,18)(19,20,25)(21,23,26)(22,24,27), (1,4,8)(2,5,9)(3,7,6)(10,12,18)(11,17,14)(13,16,15)(19,21,20)(22,25,24)(23,27,26), (1,5,6)(2,7,8)(3,4,9)(10,13,14)(11,12,16)(15,17,18)(19,22,23)(20,24,26)(21,25,27), (19,23,22)(20,26,24)(21,27,25), (1,5,6)(2,7,8)(3,4,9)(10,14,13)(11,16,12)(15,18,17)(19,23,22)(20,26,24)(21,27,25) );

 
# Booleans 
booleans_729_122 := 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_729_122:=rec(); 
chartbl_729_122.IsFinite:= true; 
chartbl_729_122.UnderlyingCharacteristic:= 0; 
chartbl_729_122.UnderlyingGroup:= GPC;
chartbl_729_122.Size:= 729;
chartbl_729_122.InfoText:= "Character table for group 729.122 downloaded from the LMFDB."; 
chartbl_729_122.Identifier:= " C3^3:He3 "; 
chartbl_729_122.NrConjugacyClasses:= 105; 
chartbl_729_122.ConjugacyClasses:= [<identity> of ..., f6, f6^2, f5, f5^2, f4, f4^2, f5*f6, f5^2*f6^2, f4*f6, f4^2*f6^2, f4*f5, f4^2*f5^2, f5*f6^2, f5^2*f6, f4*f6^2, f4^2*f6, f4*f5^2, f4^2*f5, f4*f5*f6, f4^2*f5^2*f6^2, f4*f5*f6^2, f4^2*f5^2*f6, f4*f5^2*f6, f4^2*f5*f6^2, f4^2*f5*f6, f4*f5^2*f6^2, f3, f3^2, f2, f2^2, f1, f1^2, f3*f5, f3^2*f5^2, f2*f6, f2^2*f6^2, f2*f3, f2^2*f3^2, f1*f4, f1^2*f4^2, f1*f3, f1^2*f3^2, f1*f2, f1^2*f2^2, f3*f5^2, f3^2*f5, f2*f6^2, f2^2*f6, f2*f3^2, f2^2*f3, f1*f4^2, f1^2*f4, f1*f3^2, f1^2*f3, f1*f2^2, f1^2*f2, f2*f3*f6, f2^2*f3^2*f5, f2*f3*f5, f2^2*f3^2*f6, f1*f3*f5, f1^2*f3^2*f5^2, f1*f2*f6, f1^2*f2^2*f4, f1*f2*f4, f1^2*f2^2*f6, f1*f2*f3, f1^2*f2^2*f3^2*f6, f2*f3^2*f6, f2^2*f3*f6^2, f2^2*f3*f6, f2*f3^2*f6^2, f1*f3*f5^2, f1^2*f3^2*f5, f1*f3^2*f5, f1^2*f3*f4, f1*f3^2*f4, f1^2*f3*f5, f1*f2*f3^2, f1^2*f2^2*f3*f4, f1*f2^2*f6, f1^2*f2*f6^2, f1*f2^2*f3, f1^2*f2*f3^2*f6, f1^2*f2*f6, f1*f2^2*f6^2, f1^2*f2*f3, f1*f2^2*f3^2*f5, f1*f2^2*f3^2, f1^2*f2*f3*f5, f1^2*f2*f3^2, f1*f2^2*f3*f6, f1^2*f2^2*f3, f1*f2*f3^2*f4, f1^2*f2^2*f3^2, f1*f2*f3*f6, f1*f2*f3*f5, f1^2*f2^2*f3^2*f5, f1*f2*f3^2*f6, f1^2*f2^2*f3*f6, f1^2*f2*f3*f6, f1*f2^2*f3^2*f6, f1*f2^2*f3*f6^2, f1^2*f2*f3^2*f6^2];
chartbl_729_122.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];
chartbl_729_122.ComputedPowerMaps:= [ , [1, 3, 2, 5, 4, 7, 6, 9, 8, 11, 10, 13, 12, 15, 14, 17, 16, 19, 18, 21, 20, 23, 22, 25, 24, 27, 26, 29, 28, 31, 30, 33, 32, 35, 34, 37, 36, 39, 38, 41, 40, 43, 42, 45, 44, 47, 46, 49, 48, 51, 50, 53, 52, 55, 54, 57, 56, 59, 58, 61, 60, 63, 62, 65, 64, 67, 66, 69, 68, 71, 70, 73, 72, 75, 74, 77, 76, 79, 78, 81, 80, 83, 82, 85, 84, 87, 86, 89, 88, 91, 90, 93, 92, 95, 94, 97, 96, 99, 98, 101, 100, 103, 102, 105, 104]];
chartbl_729_122.SizesCentralizers:= [729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81];
chartbl_729_122.ClassNames:= ["1A", "3A1", "3A-1", "3B1", "3B-1", "3C1", "3C-1", "3D1", "3D-1", "3E1", "3E-1", "3F1", "3F-1", "3G1", "3G-1", "3H1", "3H-1", "3I1", "3I-1", "3J1", "3J-1", "3K1", "3K-1", "3L1", "3L-1", "3M1", "3M-1", "3N1", "3N-1", "3O1", "3O-1", "3P1", "3P-1", "3Q1", "3Q-1", "3R1", "3R-1", "3S1", "3S-1", "3T1", "3T-1", "3U1", "3U-1", "3V1", "3V-1", "3W1", "3W-1", "3X1", "3X-1", "3Y1", "3Y-1", "3Z1", "3Z-1", "3AA1", "3AA-1", "3AB1", "3AB-1", "3AC1", "3AC-1", "3AD1", "3AD-1", "3AE1", "3AE-1", "3AF1", "3AF-1", "3AG1", "3AG-1", "3AH1", "3AH-1", "3AI1", "3AI-1", "3AJ1", "3AJ-1", "3AK1", "3AK-1", "3AL1", "3AL-1", "3AM1", "3AM-1", "3AN1", "3AN-1", "3AO1", "3AO-1", "3AP1", "3AP-1", "3AQ1", "3AQ-1", "3AR1", "3AR-1", "3AS1", "3AS-1", "3AT1", "3AT-1", "3AU1", "3AU-1", "3AV1", "3AV-1", "3AW1", "3AW-1", "3AX1", "3AX-1", "3AY1", "3AY-1", "3AZ1", "3AZ-1"];
chartbl_729_122.OrderClassRepresentatives:= [1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3];
chartbl_729_122.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, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), 1, 1, 1, E(3)^-1, E(3)^-1, 1, E(3)^-1, E(3), E(3), E(3), E(3), E(3), E(3)^-1, E(3), E(3), E(3)^-1, 1, E(3)^-1, E(3), 1, 1, E(3), 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3), 1, 1, 1, 1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3)^-1, 1, E(3)^-1, E(3), 1, 1, E(3)^-1, 1, E(3), E(3)^-1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, 1, E(3)^-1, 1, 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), 1, E(3), 1, E(3), E(3)^-1, E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3), E(3), E(3)^-1, 1, 1, 1, E(3), E(3), 1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), 1, E(3), E(3)^-1, 1, 1, E(3)^-1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, 1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), 1, E(3), 1, E(3), E(3)^-1, 1, 1, E(3), 1, E(3)^-1, E(3), 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), 1, E(3), 1, 1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3)^-1, 1, E(3)^-1, E(3), E(3)], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), 1, E(3), 1, E(3), 1, E(3), E(3)^-1, E(3), 1, 1, E(3), E(3), 1, 1, E(3)^-1, 1, E(3)^-1, E(3)^-1, 1, 1, E(3), 1, E(3), E(3)^-1, E(3), E(3), 1, E(3)^-1, E(3), 1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, 1, E(3), 1, E(3), 1, 1, E(3)^-1, 1, E(3), E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), E(3), E(3), 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, 1, E(3)^-1, 1, E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, 1, 1, E(3)^-1, E(3)^-1, 1, 1, E(3), 1, E(3), E(3), 1, 1, E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, 1, E(3), E(3)^-1, 1, E(3), E(3), E(3)^-1, E(3), 1, E(3)^-1, 1, E(3)^-1, 1, 1, E(3), 1, E(3)^-1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3), E(3), 1, E(3)], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3)^-1, 1, E(3)^-1, E(3), 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, 1, E(3)^-1, 1, E(3)^-1, E(3), E(3), 1, 1, E(3), 1, E(3), 1, E(3), 1, E(3)^-1, 1, 1, E(3), 1, E(3), E(3), 1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3), 1, 1, E(3), 1, E(3)^-1, 1, E(3)^-1, E(3)^-1, 1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, E(3)], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3), 1, E(3), E(3)^-1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3), 1, E(3), 1, E(3), E(3)^-1, E(3)^-1, 1, 1, E(3)^-1, 1, E(3)^-1, 1, E(3)^-1, 1, E(3), 1, 1, E(3)^-1, 1, E(3)^-1, E(3)^-1, 1, E(3), E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, 1, 1, E(3)^-1, 1, E(3), 1, E(3), E(3), 1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), 1, E(3), E(3), E(3)^-1, 1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3), 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), 1, E(3), 1, E(3)^-1, E(3), 1, E(3)^-1, E(3), E(3)^-1, 1, E(3)^-1, E(3)^-1, E(3), 1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, 1, E(3), E(3)^-1, E(3), 1, 1, E(3), E(3)^-1, E(3), E(3), 1, E(3), 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, E(3)^-1, 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, E(3), 1, E(3)^-1, 1, E(3)^-1, 1, E(3), E(3), 1, E(3)^-1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, 1, E(3)^-1, E(3)^-1, E(3), 1, E(3)^-1, E(3), E(3), E(3), 1, E(3)^-1, 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, 1, E(3)^-1, 1, E(3), E(3)^-1, 1, E(3), E(3)^-1, E(3), 1, E(3), E(3), E(3)^-1, 1, E(3), E(3)^-1, E(3), E(3), 1, E(3)^-1, E(3), E(3)^-1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, 1, E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, E(3), 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), E(3)^-1, 1, E(3), 1, E(3), 1, E(3)^-1, E(3)^-1, 1, E(3), 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), E(3), E(3)^-1, E(3), 1, 1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), 1, E(3)^-1, 1, 1, E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, 1, E(3), 1, 1, E(3), 1, E(3), 1, E(3)^-1, E(3), E(3)^-1, 1, 1, E(3), E(3)^-1, 1, E(3), E(3), 1, E(3)^-1, 1, E(3), 1, 1, E(3), 1, E(3), 1, E(3)^-1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3)], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, 1, 1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3), 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, 1, E(3), 1, 1, E(3), E(3), E(3), 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), 1, E(3)^-1, 1, 1, E(3)^-1, 1, E(3)^-1, 1, E(3), E(3)^-1, E(3), 1, 1, E(3)^-1, E(3), 1, E(3)^-1, E(3)^-1, 1, E(3), 1, E(3)^-1, 1, 1, E(3)^-1, 1, E(3)^-1, 1, E(3), 1, 1, E(3)^-1, E(3), E(3), E(3), E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3*E(3)^-1, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0], [3, 3, 3*E(3), 3*E(3), 3*E(3), 3*E(3), 3, 3, 3, 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3*E(3), 3, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3)^-1, 3, 3*E(3)^-1, 3, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3*E(3), 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0], [3, 3, 3*E(3)^-1, 3*E(3), 3, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 3*E(3), 3*E(3), 3, 3, 3, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0], [3, 3, 3*E(3), 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, 3, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3, 3*E(3)^-1, 3*E(3)^-1, 3, 3, 3, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0], [3, 3, 3*E(3)^-1, 3*E(3), 3, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 3*E(3), 3*E(3), 3, 3, 3, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 3*E(3), 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, 3, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3, 3*E(3)^-1, 3*E(3)^-1, 3, 3, 3, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 3*E(3)^-1, 3*E(3), 3, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 3*E(3), 3*E(3), 3, 3, 3, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0], [3, 3, 3*E(3), 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, 3, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3, 3*E(3)^-1, 3*E(3)^-1, 3, 3, 3, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0], [3, 3, 3*E(3)^-1, 3, 3*E(3), 3, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3), 3, 3*E(3), 3, 3, 3, 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0], [3, 3, 3*E(3), 3, 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 3*E(3)^-1, 3, 3, 3, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3), 3, 0, 0, 0, 0, 0, 0, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0], [3, 3, 3*E(3)^-1, 3, 3*E(3), 3, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3), 3, 3*E(3), 3, 3, 3, 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 0, 0, 0, 0, 0, 0, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [3, 3, 3*E(3), 3, 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 3*E(3)^-1, 3, 3, 3, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3), 3, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [3, 3, 3*E(3)^-1, 3, 3*E(3), 3, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3), 3, 3*E(3), 3, 3, 3, 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0], [3, 3, 3*E(3), 3, 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 3*E(3)^-1, 3, 3, 3, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3), 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0], [3, 3, 3, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3, 3*E(3), 3, 3, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3, 3*E(3), 3*E(3), 3, 3, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 3, 0, 0, 0, 3, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3, 3, 3*E(3), 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3*E(3)^-1, 3, 3, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3, 3*E(3), 3, 3, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3, 3*E(3), 3*E(3), 3, 3, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3*E(3), 0, 0, 0, 3*E(3)^-1, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3, 3, 3*E(3), 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3*E(3)^-1, 3, 3, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 3*E(3), 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3, 3*E(3), 3, 3, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3, 3*E(3), 3*E(3), 3, 3, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 3*E(3), 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3, 3, 3*E(3), 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3*E(3)^-1, 3, 3, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 3*E(3), 0, 0, 0, 3*E(3)^-1, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]];
ConvertToLibraryCharacterTableNC(chartbl_729_122);