# Group 135.4 downloaded from the LMFDB on 29 December 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(26295012951,135); a := GPC.1; b := GPC.2;
GPerm := Group( (1,9,6,3,8,5,2,7,4), (4,6,5)(7,8,9), (10,14,13,12,11), (1,3,2)(4,6,5)(7,9,8) );
GLZN := Group([[[ZmodnZObj(1,45), ZmodnZObj(0,45)], [ZmodnZObj(0,45), ZmodnZObj(16,45)]],[[ZmodnZObj(1,45), ZmodnZObj(15,45)], [ZmodnZObj(0,45), ZmodnZObj(1,45)]],[[ZmodnZObj(31,45), ZmodnZObj(40,45)], [ZmodnZObj(30,45), ZmodnZObj(16,45)]],[[ZmodnZObj(1,45), ZmodnZObj(9,45)], [ZmodnZObj(0,45), ZmodnZObj(1,45)]]]);

 
# Booleans 
booleans_135_4 := rec( 
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := true,
metacyclic := true,
monomial := true,
nilpotent := true,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := true); 

 
# Character Table 
chartbl_135_4:=rec(); 
chartbl_135_4.IsFinite:= true; 
chartbl_135_4.UnderlyingCharacteristic:= 0; 
chartbl_135_4.UnderlyingGroup:= GPC;
chartbl_135_4.Size:= 135;
chartbl_135_4.InfoText:= "Character table for group 135.4 downloaded from the LMFDB."; 
chartbl_135_4.Identifier:= " C9:C15 "; 
chartbl_135_4.NrConjugacyClasses:= 55; 
chartbl_135_4.ConjugacyClasses:= [<identity> of ..., f3^2*f4, f3*f4^3, f1^2, f1, f4^3, f4^2, f4, f4^4, f2^2*f3, f2*f3*f4^4, f1^2*f2^2*f4^2, f1*f2*f3*f4^4, f1^2*f2*f3*f4^4, f1*f2^2*f3^2*f4^3, f3, f3^2*f4^4, f3^2, f3*f4^4, f3*f4, f3^2*f4^3, f3*f4^2, f3^2*f4^2, f1*f4, f1^2*f3^2, f1^2*f3, f1*f4^3, f1*f3^2, f1^2*f4, f1*f3, f1^2*f4^3, f2, f2^2*f4^3, f2^2, f2*f4^3, f2*f3, f2^2*f4, f2*f3^2, f2^2*f3^2, f1*f2, f1^2*f2^2*f4^3, f1^2*f2^2, f1*f2*f4^3, f1*f2*f3, f1^2*f2^2*f4, f1*f2*f3^2, f1^2*f2^2*f3^2, f1*f2^2, f1^2*f2*f4^3, f1^2*f2*f3, f1*f2^2*f4, f1*f2^2*f3^2, f1^2*f2*f3^2, f1*f2^2*f4^3, f1^2*f2];
chartbl_135_4.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];
chartbl_135_4.ComputedPowerMaps:= [ , [1, 3, 2, 5, 4, 8, 9, 7, 6, 11, 10, 13, 12, 15, 14, 18, 19, 20, 21, 23, 22, 17, 16, 26, 27, 28, 29, 31, 30, 25, 24, 34, 35, 36, 37, 39, 38, 33, 32, 42, 43, 44, 45, 47, 46, 41, 40, 50, 51, 52, 53, 55, 54, 49, 48], [1, 1, 1, 1, 1, 9, 8, 6, 7, 2, 3, 2, 3, 3, 2, 8, 9, 7, 6, 9, 8, 7, 6, 6, 7, 8, 9, 7, 6, 8, 9, 16, 17, 18, 19, 20, 21, 22, 23, 16, 17, 18, 19, 20, 21, 22, 23, 18, 19, 20, 21, 23, 22, 17, 16]];
chartbl_135_4.SizesCentralizers:= [135, 135, 135, 45, 45, 135, 135, 135, 135, 45, 45, 45, 45, 45, 45, 135, 135, 135, 135, 135, 135, 135, 135, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45];
chartbl_135_4.ClassNames:= ["1A", "3A1", "3A-1", "3B1", "3B-1", "5A1", "5A-1", "5A2", "5A-2", "9A1", "9A-1", "9B1", "9B-1", "9C1", "9C-1", "15A1", "15A-1", "15A2", "15A-2", "15A4", "15A-4", "15A7", "15A-7", "15B1", "15B-1", "15B2", "15B-2", "15B4", "15B-4", "15B7", "15B-7", "45A1", "45A-1", "45A2", "45A-2", "45A4", "45A-4", "45A7", "45A-7", "45B1", "45B-1", "45B2", "45B-2", "45B4", "45B-4", "45B7", "45B-7", "45C1", "45C-1", "45C2", "45C-2", "45C4", "45C-4", "45C7", "45C-7"];
chartbl_135_4.OrderClassRepresentatives:= [1, 3, 3, 3, 3, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45];
chartbl_135_4.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, E(3)^-1, E(3), 1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3), 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), 1, 1, E(3), 1, 1], [1, 1, 1, E(3), E(3)^-1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), 1, 1, 1, E(3), E(3), E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, 1, 1, E(3)^-1, 1, 1], [1, 1, 1, E(3)^-1, E(3), 1, 1, 1, 1, E(3)^-1, E(3), 1, 1, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3), E(3), E(3), 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, 1, 1, E(3)^-1, E(3), E(3)^-1, 1, E(3)^-1, E(3)^-1], [1, 1, 1, E(3), E(3)^-1, 1, 1, 1, 1, E(3), E(3)^-1, 1, 1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, 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, E(3)^-1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, 1, 1, E(3), E(3), E(3), E(3)^-1, 1, 1, 1, E(3), E(3)^-1, E(3), 1, E(3), E(3)], [1, 1, 1, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), 1, 1, 1, 1, E(3)^-1, E(3)^-1, 1, E(3), 1, 1, E(3)^-1, E(3), E(3), 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)], [1, 1, 1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3), E(3)^-1, E(3)^-1, 1, 1, 1, 1, E(3), E(3), 1, E(3)^-1, 1, 1, E(3), E(3)^-1, E(3)^-1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)], [1, 1, 1, 1, 1, 1, 1, 1, 1, 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, E(3), E(3), E(3), E(3), E(3), 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)^-1, E(3), E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1], [1, 1, 1, 1, 1, E(5)^-2, E(5)^2, E(5), E(5)^-1, 1, 1, 1, 1, 1, 1, E(5)^2, E(5)^-1, E(5)^-1, E(5), E(5)^-2, E(5)^-2, E(5), E(5)^2, E(5), E(5)^-2, E(5)^-1, E(5), E(5)^-2, E(5)^-1, E(5)^2, E(5)^2, E(5)^-1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5)^-2, E(5), E(5), E(5)^-1, E(5), E(5)^-2, E(5)^-2, E(5), E(5)^2, E(5)^2, E(5)^-1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5)^-2, E(5)^2, E(5)^2, E(5)^-1], [1, 1, 1, 1, 1, E(5)^2, E(5)^-2, E(5)^-1, E(5), 1, 1, 1, 1, 1, 1, E(5)^-2, E(5), E(5), E(5)^-1, E(5)^2, E(5)^2, E(5)^-1, E(5)^-2, E(5)^-1, E(5)^2, E(5), E(5)^-1, E(5)^2, E(5), E(5)^-2, E(5)^-2, E(5), E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^2, E(5)^-1, E(5)^-1, E(5), E(5)^-1, E(5)^2, E(5)^2, E(5)^-1, E(5)^-2, E(5)^-2, E(5), E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^2, E(5)^-2, E(5)^-2, E(5)], [1, 1, 1, 1, 1, E(5)^-1, E(5), E(5)^-2, E(5)^2, 1, 1, 1, 1, 1, 1, E(5), E(5)^2, E(5)^2, E(5)^-2, E(5)^-1, E(5)^-1, E(5)^-2, E(5), E(5)^-2, E(5)^-1, E(5)^2, E(5)^-2, E(5)^-1, E(5)^2, E(5), E(5), E(5)^2, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-1, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-2, E(5)^-1, E(5)^-1, E(5)^-2, E(5), E(5), E(5)^2, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-1, E(5), E(5), E(5)^2], [1, 1, 1, 1, 1, E(5), E(5)^-1, E(5)^2, E(5)^-2, 1, 1, 1, 1, 1, 1, E(5)^-1, E(5)^-2, E(5)^-2, E(5)^2, E(5), E(5), E(5)^2, E(5)^-1, E(5)^2, E(5), E(5)^-2, E(5)^2, E(5), E(5)^-2, E(5)^-1, E(5)^-1, E(5)^-2, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5), E(5)^2, E(5)^2, E(5)^-2, E(5)^2, E(5), E(5), E(5)^2, E(5)^-1, E(5)^-1, E(5)^-2, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5), E(5)^-1, E(5)^-1, E(5)^-2], [1, 1, 1, E(15)^-5, E(15)^5, E(15)^-6, E(15)^6, E(15)^3, E(15)^-3, E(15)^5, E(15)^-5, E(15)^5, E(15)^-5, 1, 1, E(15)^6, E(15)^-3, E(15)^-3, E(15)^3, E(15)^-6, E(15)^-6, E(15)^3, E(15)^6, E(15)^-7, E(15)^4, E(15)^7, E(15)^-2, E(15)^-1, E(15)^2, E(15)^-4, E(15), E(15)^-3, E(15)^-6, E(15)^6, E(15)^7, E(15)^-2, E(15)^4, E(15)^-7, E(15)^-2, E(15)^7, E(15)^-7, E(15)^-1, E(15)^-1, E(15)^3, E(15)^-4, E(15), E(15)^2, E(15)^4, E(15), E(15)^2, E(15)^3, E(15)^-6, E(15)^-4, E(15)^6, E(15)^-3], [1, 1, 1, E(15)^5, E(15)^-5, E(15)^6, E(15)^-6, E(15)^-3, E(15)^3, E(15)^-5, E(15)^5, E(15)^-5, E(15)^5, 1, 1, E(15)^-6, E(15)^3, E(15)^3, E(15)^-3, E(15)^6, E(15)^6, E(15)^-3, E(15)^-6, E(15)^7, E(15)^-4, E(15)^-7, E(15)^2, E(15), E(15)^-2, E(15)^4, E(15)^-1, E(15)^3, E(15)^6, E(15)^-6, E(15)^-7, E(15)^2, E(15)^-4, E(15)^7, E(15)^2, E(15)^-7, E(15)^7, E(15), E(15), E(15)^-3, E(15)^4, E(15)^-1, E(15)^-2, E(15)^-4, E(15)^-1, E(15)^-2, E(15)^-3, E(15)^6, E(15)^4, E(15)^-6, E(15)^3], [1, 1, 1, E(15)^-5, E(15)^5, E(15)^6, E(15)^-6, E(15)^-3, E(15)^3, E(15)^5, E(15)^-5, E(15)^5, E(15)^-5, 1, 1, E(15)^-6, E(15)^3, E(15)^3, E(15)^-3, E(15)^6, E(15)^6, E(15)^-3, E(15)^-6, E(15)^2, E(15), E(15)^-2, E(15)^7, E(15)^-4, E(15)^-7, E(15)^-1, E(15)^4, E(15)^3, E(15)^6, E(15)^-6, E(15)^-2, E(15)^7, E(15), E(15)^2, E(15)^7, E(15)^-2, E(15)^2, E(15)^-4, E(15)^-4, E(15)^-3, E(15)^-1, E(15)^4, E(15)^-7, E(15), E(15)^4, E(15)^-7, E(15)^-3, E(15)^6, E(15)^-1, E(15)^-6, E(15)^3], [1, 1, 1, E(15)^5, E(15)^-5, E(15)^-6, E(15)^6, E(15)^3, E(15)^-3, E(15)^-5, E(15)^5, E(15)^-5, E(15)^5, 1, 1, E(15)^6, E(15)^-3, E(15)^-3, E(15)^3, E(15)^-6, E(15)^-6, E(15)^3, E(15)^6, E(15)^-2, E(15)^-1, E(15)^2, E(15)^-7, E(15)^4, E(15)^7, E(15), E(15)^-4, E(15)^-3, E(15)^-6, E(15)^6, E(15)^2, E(15)^-7, E(15)^-1, E(15)^-2, E(15)^-7, E(15)^2, E(15)^-2, E(15)^4, E(15)^4, E(15)^3, E(15), E(15)^-4, E(15)^7, E(15)^-1, E(15)^-4, E(15)^7, E(15)^3, E(15)^-6, E(15), E(15)^6, E(15)^-3], [1, 1, 1, E(15)^-5, E(15)^5, E(15)^-3, E(15)^3, E(15)^-6, E(15)^6, E(15)^5, E(15)^-5, E(15)^5, E(15)^-5, 1, 1, E(15)^3, E(15)^6, E(15)^6, E(15)^-6, E(15)^-3, E(15)^-3, E(15)^-6, E(15)^3, E(15)^-1, E(15)^7, E(15), E(15)^4, E(15)^2, E(15)^-4, E(15)^-7, E(15)^-2, E(15)^6, E(15)^-3, E(15)^3, E(15), E(15)^4, E(15)^7, E(15)^-1, E(15)^4, E(15), E(15)^-1, E(15)^2, E(15)^2, E(15)^-6, E(15)^-7, E(15)^-2, E(15)^-4, E(15)^7, E(15)^-2, E(15)^-4, E(15)^-6, E(15)^-3, E(15)^-7, E(15)^3, E(15)^6], [1, 1, 1, E(15)^5, E(15)^-5, E(15)^3, E(15)^-3, E(15)^6, E(15)^-6, E(15)^-5, E(15)^5, E(15)^-5, E(15)^5, 1, 1, E(15)^-3, E(15)^-6, E(15)^-6, E(15)^6, E(15)^3, E(15)^3, E(15)^6, E(15)^-3, E(15), E(15)^-7, E(15)^-1, E(15)^-4, E(15)^-2, E(15)^4, E(15)^7, E(15)^2, E(15)^-6, E(15)^3, E(15)^-3, E(15)^-1, E(15)^-4, E(15)^-7, E(15), E(15)^-4, E(15)^-1, E(15), E(15)^-2, E(15)^-2, E(15)^6, E(15)^7, E(15)^2, E(15)^4, E(15)^-7, E(15)^2, E(15)^4, E(15)^6, E(15)^3, E(15)^7, E(15)^-3, E(15)^-6], [1, 1, 1, E(15)^-5, E(15)^5, E(15)^3, E(15)^-3, E(15)^6, E(15)^-6, E(15)^5, E(15)^-5, E(15)^5, E(15)^-5, 1, 1, E(15)^-3, E(15)^-6, E(15)^-6, E(15)^6, E(15)^3, E(15)^3, E(15)^6, E(15)^-3, E(15)^-4, E(15)^-2, E(15)^4, E(15), E(15)^-7, E(15)^-1, E(15)^2, E(15)^7, E(15)^-6, E(15)^3, E(15)^-3, E(15)^4, E(15), E(15)^-2, E(15)^-4, E(15), E(15)^4, E(15)^-4, E(15)^-7, E(15)^-7, E(15)^6, E(15)^2, E(15)^7, E(15)^-1, E(15)^-2, E(15)^7, E(15)^-1, E(15)^6, E(15)^3, E(15)^2, E(15)^-3, E(15)^-6], [1, 1, 1, E(15)^5, E(15)^-5, E(15)^-3, E(15)^3, E(15)^-6, E(15)^6, E(15)^-5, E(15)^5, E(15)^-5, E(15)^5, 1, 1, E(15)^3, E(15)^6, E(15)^6, E(15)^-6, E(15)^-3, E(15)^-3, E(15)^-6, E(15)^3, E(15)^4, E(15)^2, E(15)^-4, E(15)^-1, E(15)^7, E(15), E(15)^-2, E(15)^-7, E(15)^6, E(15)^-3, E(15)^3, E(15)^-4, E(15)^-1, E(15)^2, E(15)^4, E(15)^-1, E(15)^-4, E(15)^4, E(15)^7, E(15)^7, E(15)^-6, E(15)^-2, E(15)^-7, E(15), E(15)^2, E(15)^-7, E(15), 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E(15)^-6, E(15)^3, E(15)^6, E(15)^3, E(15)^-6, E(15)^-3, E(15)^3, E(15)^-6, E(15)^-3, E(15)^6, E(15)^6, E(15)^7, E(15)^4, E(15), E(15)^7, E(15)^-2, E(15)^-1, E(15)^-2, E(15)^-7, E(15)^2, E(15)^-7, E(15)^-1, E(15)^4, E(15)^-7, E(15), E(15)^-4, E(15)^2, E(15)^4, E(15), E(15)^7, E(15)^-2, E(15)^-1, E(15)^-4, E(15)^-4, E(15)^2], [1, 1, 1, 1, 1, E(15)^6, E(15)^-6, E(15)^-3, E(15)^3, E(15)^5, E(15)^-5, E(15)^-5, E(15)^5, E(15)^-5, E(15)^5, E(15)^-6, E(15)^3, E(15)^3, E(15)^-3, E(15)^6, E(15)^6, E(15)^-3, E(15)^-6, E(15)^-3, E(15)^6, E(15)^3, E(15)^-3, E(15)^6, E(15)^3, E(15)^-6, E(15)^-6, E(15)^-7, E(15)^-4, E(15)^-1, E(15)^-7, E(15)^2, E(15), E(15)^2, E(15)^7, E(15)^-2, E(15)^7, E(15), E(15)^-4, E(15)^7, E(15)^-1, E(15)^4, E(15)^-2, E(15)^-4, E(15)^-1, E(15)^-7, E(15)^2, E(15), E(15)^4, E(15)^4, E(15)^-2], [1, 1, 1, 1, 1, E(15)^-6, E(15)^6, E(15)^3, E(15)^-3, E(15)^5, E(15)^-5, E(15)^-5, E(15)^5, E(15)^-5, E(15)^5, E(15)^6, E(15)^-3, E(15)^-3, E(15)^3, E(15)^-6, E(15)^-6, E(15)^3, E(15)^6, E(15)^3, E(15)^-6, E(15)^-3, E(15)^3, E(15)^-6, E(15)^-3, E(15)^6, E(15)^6, E(15)^2, E(15)^-1, E(15)^-4, E(15)^2, E(15)^-7, E(15)^4, E(15)^-7, E(15)^-2, E(15)^7, E(15)^-2, E(15)^4, E(15)^-1, E(15)^-2, E(15)^-4, E(15), E(15)^7, E(15)^-1, E(15)^-4, E(15)^2, E(15)^-7, E(15)^4, E(15), E(15), E(15)^7], [1, 1, 1, 1, 1, E(15)^6, E(15)^-6, E(15)^-3, E(15)^3, E(15)^-5, E(15)^5, E(15)^5, E(15)^-5, E(15)^5, E(15)^-5, E(15)^-6, E(15)^3, E(15)^3, E(15)^-3, E(15)^6, E(15)^6, E(15)^-3, E(15)^-6, E(15)^-3, E(15)^6, E(15)^3, E(15)^-3, E(15)^6, E(15)^3, E(15)^-6, E(15)^-6, E(15)^-2, E(15), E(15)^4, E(15)^-2, E(15)^7, E(15)^-4, E(15)^7, E(15)^2, E(15)^-7, E(15)^2, E(15)^-4, E(15), E(15)^2, E(15)^4, E(15)^-1, E(15)^-7, E(15), E(15)^4, E(15)^-2, E(15)^7, E(15)^-4, E(15)^-1, E(15)^-1, E(15)^-7], [1, 1, 1, 1, 1, E(15)^-3, E(15)^3, E(15)^-6, E(15)^6, E(15)^-5, E(15)^5, E(15)^5, E(15)^-5, E(15)^5, E(15)^-5, E(15)^3, E(15)^6, E(15)^6, E(15)^-6, E(15)^-3, E(15)^-3, E(15)^-6, E(15)^3, E(15)^-6, E(15)^-3, E(15)^6, E(15)^-6, E(15)^-3, E(15)^6, E(15)^3, E(15)^3, E(15), E(15)^7, E(15)^-2, E(15), E(15)^4, E(15)^2, E(15)^4, E(15)^-1, E(15)^-4, E(15)^-1, E(15)^2, E(15)^7, E(15)^-1, E(15)^-2, E(15)^-7, E(15)^-4, E(15)^7, E(15)^-2, E(15), E(15)^4, E(15)^2, E(15)^-7, E(15)^-7, E(15)^-4], [1, 1, 1, 1, 1, E(15)^3, E(15)^-3, E(15)^6, E(15)^-6, E(15)^5, E(15)^-5, E(15)^-5, E(15)^5, E(15)^-5, E(15)^5, E(15)^-3, E(15)^-6, E(15)^-6, E(15)^6, E(15)^3, E(15)^3, E(15)^6, E(15)^-3, E(15)^6, E(15)^3, E(15)^-6, E(15)^6, E(15)^3, E(15)^-6, E(15)^-3, E(15)^-3, E(15)^-1, E(15)^-7, E(15)^2, E(15)^-1, E(15)^-4, E(15)^-2, E(15)^-4, E(15), E(15)^4, E(15), E(15)^-2, E(15)^-7, E(15), E(15)^2, E(15)^7, E(15)^4, E(15)^-7, E(15)^2, E(15)^-1, E(15)^-4, E(15)^-2, E(15)^7, E(15)^7, E(15)^4], [1, 1, 1, 1, 1, E(15)^-3, E(15)^3, E(15)^-6, E(15)^6, E(15)^5, E(15)^-5, E(15)^-5, E(15)^5, E(15)^-5, E(15)^5, E(15)^3, E(15)^6, E(15)^6, E(15)^-6, E(15)^-3, E(15)^-3, E(15)^-6, E(15)^3, E(15)^-6, E(15)^-3, E(15)^6, E(15)^-6, E(15)^-3, E(15)^6, E(15)^3, E(15)^3, E(15)^-4, E(15)^2, E(15)^-7, E(15)^-4, E(15)^-1, E(15)^7, E(15)^-1, E(15)^4, E(15), E(15)^4, E(15)^7, E(15)^2, E(15)^4, E(15)^-7, E(15)^-2, E(15), E(15)^2, E(15)^-7, E(15)^-4, E(15)^-1, E(15)^7, E(15)^-2, E(15)^-2, E(15)], [1, 1, 1, 1, 1, E(15)^3, E(15)^-3, E(15)^6, E(15)^-6, E(15)^-5, E(15)^5, E(15)^5, E(15)^-5, E(15)^5, E(15)^-5, E(15)^-3, E(15)^-6, E(15)^-6, E(15)^6, E(15)^3, E(15)^3, E(15)^6, E(15)^-3, E(15)^6, E(15)^3, E(15)^-6, E(15)^6, E(15)^3, E(15)^-6, E(15)^-3, E(15)^-3, E(15)^4, E(15)^-2, E(15)^7, E(15)^4, E(15), E(15)^-7, E(15), E(15)^-4, E(15)^-1, E(15)^-4, E(15)^-7, E(15)^-2, E(15)^-4, E(15)^7, E(15)^2, E(15)^-1, E(15)^-2, E(15)^7, E(15)^4, E(15), E(15)^-7, E(15)^2, E(15)^2, E(15)^-1], [3, 3*E(3)^-1, 3*E(3), 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 3*E(3), 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, 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*E(3), 3*E(3)^-1, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3*E(3), 3*E(3)^-1, 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, 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*E(15)^-5, 3*E(15)^5, 0, 0, 3*E(15)^-6, 3*E(15)^6, 3*E(15)^3, 3*E(15)^-3, 0, 0, 0, 0, 0, 0, 3*E(15), 3*E(15)^2, 3*E(15)^7, 3*E(15)^-7, 3*E(15)^-1, 3*E(15)^4, 3*E(15)^-2, 3*E(15)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 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*E(15)^5, 3*E(15)^-5, 0, 0, 3*E(15)^6, 3*E(15)^-6, 3*E(15)^-3, 3*E(15)^3, 0, 0, 0, 0, 0, 0, 3*E(15)^-1, 3*E(15)^-2, 3*E(15)^-7, 3*E(15)^7, 3*E(15), 3*E(15)^-4, 3*E(15)^2, 3*E(15)^4, 0, 0, 0, 0, 0, 0, 0, 0, 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*E(15)^-5, 3*E(15)^5, 0, 0, 3*E(15)^6, 3*E(15)^-6, 3*E(15)^-3, 3*E(15)^3, 0, 0, 0, 0, 0, 0, 3*E(15)^4, 3*E(15)^-7, 3*E(15)^-2, 3*E(15)^2, 3*E(15)^-4, 3*E(15), 3*E(15)^7, 3*E(15)^-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], [3, 3*E(15)^5, 3*E(15)^-5, 0, 0, 3*E(15)^-6, 3*E(15)^6, 3*E(15)^3, 3*E(15)^-3, 0, 0, 0, 0, 0, 0, 3*E(15)^-4, 3*E(15)^7, 3*E(15)^2, 3*E(15)^-2, 3*E(15)^4, 3*E(15)^-1, 3*E(15)^-7, 3*E(15), 0, 0, 0, 0, 0, 0, 0, 0, 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*E(15)^-5, 3*E(15)^5, 0, 0, 3*E(15)^-3, 3*E(15)^3, 3*E(15)^-6, 3*E(15)^6, 0, 0, 0, 0, 0, 0, 3*E(15)^-2, 3*E(15)^-4, 3*E(15), 3*E(15)^-1, 3*E(15)^2, 3*E(15)^7, 3*E(15)^4, 3*E(15)^-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], [3, 3*E(15)^5, 3*E(15)^-5, 0, 0, 3*E(15)^3, 3*E(15)^-3, 3*E(15)^6, 3*E(15)^-6, 0, 0, 0, 0, 0, 0, 3*E(15)^2, 3*E(15)^4, 3*E(15)^-1, 3*E(15), 3*E(15)^-2, 3*E(15)^-7, 3*E(15)^-4, 3*E(15)^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], [3, 3*E(15)^-5, 3*E(15)^5, 0, 0, 3*E(15)^3, 3*E(15)^-3, 3*E(15)^6, 3*E(15)^-6, 0, 0, 0, 0, 0, 0, 3*E(15)^7, 3*E(15)^-1, 3*E(15)^4, 3*E(15)^-4, 3*E(15)^-7, 3*E(15)^-2, 3*E(15), 3*E(15)^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], [3, 3*E(15)^5, 3*E(15)^-5, 0, 0, 3*E(15)^-3, 3*E(15)^3, 3*E(15)^-6, 3*E(15)^6, 0, 0, 0, 0, 0, 0, 3*E(15)^-7, 3*E(15), 3*E(15)^-4, 3*E(15)^4, 3*E(15)^7, 3*E(15)^2, 3*E(15)^-1, 3*E(15)^-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]];
ConvertToLibraryCharacterTableNC(chartbl_135_4);