# Group 450.20 downloaded from the LMFDB on 04 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(700301926691713929039967,450); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.5;
GPerm := Group( (2,5)(6,11)(7,13)(8,14)(12,15), (16,17,18), (1,2,5)(3,8,14)(4,6,11)(7,13,9)(10,12,15), (1,3,4,9,10)(2,6,12,8,7)(5,11,15,14,13), (1,4,10,3,9)(2,7,8,12,6) );
GLZN := Group([[[ZmodnZObj(49,50), ZmodnZObj(0,50)], [ZmodnZObj(0,50), ZmodnZObj(1,50)]],[[ZmodnZObj(26,50), ZmodnZObj(25,50)], [ZmodnZObj(25,50), ZmodnZObj(1,50)]],[[ZmodnZObj(31,50), ZmodnZObj(40,50)], [ZmodnZObj(30,50), ZmodnZObj(21,50)]],[[ZmodnZObj(37,50), ZmodnZObj(26,50)], [ZmodnZObj(18,50), ZmodnZObj(37,50)]],[[ZmodnZObj(21,50), ZmodnZObj(20,50)], [ZmodnZObj(40,50), ZmodnZObj(31,50)]]]);

 
# Booleans 
booleans_450_20 := rec( 
Agroup := true,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := false,
metacyclic := false,
monomial := true,
nilpotent := false,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := false); 

 
# Character Table 
chartbl_450_20:=rec(); 
chartbl_450_20.IsFinite:= true; 
chartbl_450_20.UnderlyingCharacteristic:= 0; 
chartbl_450_20.UnderlyingGroup:= GPC;
chartbl_450_20.Size:= 450;
chartbl_450_20.InfoText:= "Character table for group 450.20 downloaded from the LMFDB."; 
chartbl_450_20.Identifier:= " C3*C5^2:S3 "; 
chartbl_450_20.NrConjugacyClasses:= 39; 
chartbl_450_20.ConjugacyClasses:= [<identity> of ..., f1*f4^2*f5^3, f3^2*f4, f3*f4^3, f2^2, f2*f3^2*f4^4*f5^3, f2^2*f3*f4^3*f5^2, f5^2, f5^3, f5^4, f5, f4, f4^2, f1*f3^2*f4^3*f5^3, f1*f3*f5^3, f1*f4^2*f5^4, f1*f4^2*f5^2, f1*f4^2*f5, f1*f4^2, f3^2*f4*f5^4, f3*f4^3*f5, f3*f4^3*f5^3, f3^2*f4*f5^2, f3^2*f4*f5, f3*f4^3*f5^4, f3^2*f4*f5^3, f3*f4^3*f5^2, f3, f3^2*f5, f3^2, f3*f4^2, f1*f3, f1*f3^2*f5^4, f1*f3*f5^2, f1*f3^2*f5^2, f1*f3^2*f5^3, f1*f3*f5, f1*f3*f5^4, f1*f3^2];
chartbl_450_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];
chartbl_450_20.ComputedPowerMaps:= [ , [1, 1, 4, 3, 5, 7, 6, 10, 11, 9, 8, 13, 12, 4, 3, 8, 9, 11, 10, 22, 23, 24, 25, 27, 26, 21, 20, 30, 31, 28, 29, 20, 21, 26, 27, 25, 24, 23, 22], [1, 2, 1, 1, 1, 1, 1, 11, 10, 8, 9, 13, 12, 2, 2, 18, 19, 17, 16, 8, 9, 10, 11, 9, 8, 10, 11, 12, 12, 13, 13, 16, 17, 19, 18, 16, 17, 18, 19], [1, 2, 4, 3, 5, 7, 6, 1, 1, 1, 1, 1, 1, 15, 14, 2, 2, 2, 2, 4, 3, 3, 4, 4, 3, 4, 3, 3, 4, 4, 3, 14, 15, 14, 15, 15, 14, 14, 15]];
chartbl_450_20.SizesCentralizers:= [450, 30, 450, 450, 9, 9, 9, 150, 150, 150, 150, 75, 75, 30, 30, 30, 30, 30, 30, 150, 150, 150, 150, 150, 150, 150, 150, 75, 75, 75, 75, 30, 30, 30, 30, 30, 30, 30, 30];
chartbl_450_20.ClassNames:= ["1A", "2A", "3A1", "3A-1", "3B", "3C1", "3C-1", "5A1", "5A-1", "5A2", "5A-2", "5B1", "5B2", "6A1", "6A-1", "10A1", "10A-1", "10A3", "10A-3", "15A1", "15A-1", "15A2", "15A-2", "15A4", "15A-4", "15A7", "15A-7", "15B1", "15B-1", "15B2", "15B-2", "30A1", "30A-1", "30A7", "30A-7", "30A11", "30A-11", "30A13", "30A-13"];
chartbl_450_20.OrderClassRepresentatives:= [1, 2, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 6, 6, 10, 10, 10, 10, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 30, 30, 30, 30, 30, 30, 30, 30];
chartbl_450_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, E(3)^-1, E(3), E(3), 1, E(3)^-1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), 1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-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, 1, E(3), 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, 1, 1, 1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-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), E(3), E(3)^-1, E(3)^-1], [1, -1, E(3)^-1, E(3), E(3), 1, E(3)^-1, 1, 1, 1, 1, 1, 1, -1*E(3)^-1, -1*E(3), -1, -1, -1, -1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), 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*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3)], [1, -1, E(3), E(3)^-1, E(3)^-1, 1, E(3), 1, 1, 1, 1, 1, 1, -1*E(3), -1*E(3)^-1, -1, -1, -1, -1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1], [2, 0, 2, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2*E(3)^-1, 2*E(3), -1*E(3), -1, -1*E(3)^-1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2*E(3)^-1, 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3), 2*E(3), 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2*E(3), 2*E(3)^-1, -1*E(3)^-1, -1, -1*E(3), 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2*E(3), 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0], [3, 1, 3, 3, 0, 0, 0, -1-E(5)-E(5)^2+E(5)^-2, E(5)+2*E(5)^2, -2-2*E(5)-E(5)^2-2*E(5)^-2, 2*E(5)+E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 1, 1, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)+2*E(5)^2, -2-2*E(5)-E(5)^2-2*E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, -2-2*E(5)-E(5)^2-2*E(5)^-2, E(5)+2*E(5)^2, 2*E(5)+E(5)^-2, 2*E(5)+E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, E(5)^-2, E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5), E(5)^2, E(5)^-1], [3, 1, 3, 3, 0, 0, 0, E(5)+2*E(5)^2, -1-E(5)-E(5)^2+E(5)^-2, 2*E(5)+E(5)^-2, -2-2*E(5)-E(5)^2-2*E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 1, 1, E(5), E(5)^-1, E(5)^-2, E(5)^2, -1-E(5)-E(5)^2+E(5)^-2, 2*E(5)+E(5)^-2, E(5)+2*E(5)^2, E(5)+2*E(5)^2, 2*E(5)+E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, -2-2*E(5)-E(5)^2-2*E(5)^-2, -2-2*E(5)-E(5)^2-2*E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, E(5)^2, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5)^-1, E(5)^-2, E(5)], [3, 1, 3, 3, 0, 0, 0, -2-2*E(5)-E(5)^2-2*E(5)^-2, 2*E(5)+E(5)^-2, E(5)+2*E(5)^2, -1-E(5)-E(5)^2+E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 1, 1, E(5)^2, E(5)^-2, E(5), E(5)^-1, 2*E(5)+E(5)^-2, E(5)+2*E(5)^2, -2-2*E(5)-E(5)^2-2*E(5)^-2, -2-2*E(5)-E(5)^2-2*E(5)^-2, E(5)+2*E(5)^2, 2*E(5)+E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, E(5)^-1, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^-2, E(5), E(5)^2], [3, 1, 3, 3, 0, 0, 0, 2*E(5)+E(5)^-2, -2-2*E(5)-E(5)^2-2*E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, E(5)+2*E(5)^2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 1, 1, E(5)^-2, E(5)^2, E(5)^-1, E(5), -2-2*E(5)-E(5)^2-2*E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, 2*E(5)+E(5)^-2, 2*E(5)+E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, -2-2*E(5)-E(5)^2-2*E(5)^-2, E(5)+2*E(5)^2, E(5)+2*E(5)^2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, E(5), E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^2, E(5)^-1, E(5)^-2], [3, -1, 3, 3, 0, 0, 0, -1-E(5)-E(5)^2+E(5)^-2, E(5)+2*E(5)^2, -2-2*E(5)-E(5)^2-2*E(5)^-2, 2*E(5)+E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1, -1, -1*E(5)^-1, -1*E(5), -1*E(5)^2, -1*E(5)^-2, E(5)+2*E(5)^2, -2-2*E(5)-E(5)^2-2*E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, -2-2*E(5)-E(5)^2-2*E(5)^-2, E(5)+2*E(5)^2, 2*E(5)+E(5)^-2, 2*E(5)+E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^-2, -1*E(5)^2, -1*E(5)^-2, -1*E(5), -1*E(5)^-1, -1*E(5), -1*E(5)^2, -1*E(5)^-1], [3, -1, 3, 3, 0, 0, 0, E(5)+2*E(5)^2, -1-E(5)-E(5)^2+E(5)^-2, 2*E(5)+E(5)^-2, -2-2*E(5)-E(5)^2-2*E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1, -1, -1*E(5), -1*E(5)^-1, -1*E(5)^-2, -1*E(5)^2, -1-E(5)-E(5)^2+E(5)^-2, 2*E(5)+E(5)^-2, E(5)+2*E(5)^2, E(5)+2*E(5)^2, 2*E(5)+E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, -2-2*E(5)-E(5)^2-2*E(5)^-2, -2-2*E(5)-E(5)^2-2*E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2, -1*E(5)^-2, -1*E(5)^2, -1*E(5)^-1, -1*E(5), -1*E(5)^-1, -1*E(5)^-2, -1*E(5)], [3, -1, 3, 3, 0, 0, 0, -2-2*E(5)-E(5)^2-2*E(5)^-2, 2*E(5)+E(5)^-2, E(5)+2*E(5)^2, -1-E(5)-E(5)^2+E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1, -1, -1*E(5)^2, -1*E(5)^-2, -1*E(5), -1*E(5)^-1, 2*E(5)+E(5)^-2, E(5)+2*E(5)^2, -2-2*E(5)-E(5)^2-2*E(5)^-2, -2-2*E(5)-E(5)^2-2*E(5)^-2, E(5)+2*E(5)^2, 2*E(5)+E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^-1, -1*E(5), -1*E(5)^-1, -1*E(5)^-2, -1*E(5)^2, -1*E(5)^-2, -1*E(5), -1*E(5)^2], [3, -1, 3, 3, 0, 0, 0, 2*E(5)+E(5)^-2, -2-2*E(5)-E(5)^2-2*E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, E(5)+2*E(5)^2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1, -1, -1*E(5)^-2, -1*E(5)^2, -1*E(5)^-1, -1*E(5), -2-2*E(5)-E(5)^2-2*E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, 2*E(5)+E(5)^-2, 2*E(5)+E(5)^-2, -1-E(5)-E(5)^2+E(5)^-2, -2-2*E(5)-E(5)^2-2*E(5)^-2, E(5)+2*E(5)^2, E(5)+2*E(5)^2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5), -1*E(5)^-1, -1*E(5), -1*E(5)^2, -1*E(5)^-2, -1*E(5)^2, -1*E(5)^-1, -1*E(5)^-2], [3, 1, 3*E(15)^-5, 3*E(15)^5, 0, 0, 0, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, E(15)^3+2*E(15)^6, -2*E(15)^2+E(15)^6-2*E(15)^7, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, E(15)^-5, E(15)^5, E(15)^-3, E(15)^3, E(15)^6, E(15)^-6, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, E(15)+2*E(15)^7, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, 2*E(15)^4+E(15)^7, -1*E(15)+2*E(15)^2-E(15)^6, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, -1*E(15)-E(15)^4, -1+E(15)+E(15)^4-E(15)^5, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, E(15)^-1, E(15), E(15)^4, E(15)^-7, E(15)^7, E(15)^-2, E(15)^-4, E(15)^2], [3, 1, 3*E(15)^5, 3*E(15)^-5, 0, 0, 0, E(15)^3+2*E(15)^6, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, -2*E(15)^2+E(15)^6-2*E(15)^7, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, E(15)^5, E(15)^-5, E(15)^3, E(15)^-3, E(15)^-6, E(15)^6, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, 2*E(15)^4+E(15)^7, -1*E(15)+2*E(15)^2-E(15)^6, E(15)+2*E(15)^7, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, -1*E(15)-E(15)^4, -1+E(15)+E(15)^4-E(15)^5, E(15), E(15)^-1, E(15)^-4, E(15)^7, E(15)^-7, E(15)^2, E(15)^4, E(15)^-2], [3, 1, 3*E(15)^-5, 3*E(15)^5, 0, 0, 0, E(15)^3+2*E(15)^6, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, -2*E(15)^2+E(15)^6-2*E(15)^7, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, E(15)^-5, E(15)^5, E(15)^3, E(15)^-3, E(15)^-6, E(15)^6, 2*E(15)^4+E(15)^7, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, E(15)+2*E(15)^7, -1*E(15)+2*E(15)^2-E(15)^6, -1*E(15)-E(15)^4, -1+E(15)+E(15)^4-E(15)^5, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, E(15)^-4, E(15)^4, E(15), E(15)^2, E(15)^-2, E(15)^7, E(15)^-1, E(15)^-7], [3, 1, 3*E(15)^5, 3*E(15)^-5, 0, 0, 0, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, E(15)^3+2*E(15)^6, -2*E(15)^2+E(15)^6-2*E(15)^7, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, E(15)^5, E(15)^-5, E(15)^-3, E(15)^3, E(15)^6, E(15)^-6, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, -1*E(15)+2*E(15)^2-E(15)^6, 2*E(15)^4+E(15)^7, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, E(15)+2*E(15)^7, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, -1*E(15)-E(15)^4, -1+E(15)+E(15)^4-E(15)^5, E(15)^4, E(15)^-4, E(15)^-1, E(15)^-2, E(15)^2, E(15)^-7, E(15), E(15)^7], [3, 1, 3*E(15)^-5, 3*E(15)^5, 0, 0, 0, -2*E(15)^2+E(15)^6-2*E(15)^7, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, E(15)^3+2*E(15)^6, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, E(15)^-5, E(15)^5, E(15)^6, E(15)^-6, E(15)^3, E(15)^-3, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, -1*E(15)+2*E(15)^2-E(15)^6, E(15)+2*E(15)^7, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, 2*E(15)^4+E(15)^7, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, -1+E(15)+E(15)^4-E(15)^5, -1*E(15)-E(15)^4, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, E(15)^2, E(15)^-2, E(15)^7, E(15)^-1, E(15), E(15)^4, E(15)^-7, E(15)^-4], [3, 1, 3*E(15)^5, 3*E(15)^-5, 0, 0, 0, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, -2*E(15)^2+E(15)^6-2*E(15)^7, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, E(15)^3+2*E(15)^6, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, E(15)^5, E(15)^-5, E(15)^-6, E(15)^6, E(15)^-3, E(15)^3, -1*E(15)+2*E(15)^2-E(15)^6, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, 2*E(15)^4+E(15)^7, E(15)+2*E(15)^7, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, -1+E(15)+E(15)^4-E(15)^5, -1*E(15)-E(15)^4, E(15)^-2, E(15)^2, E(15)^-7, E(15), E(15)^-1, E(15)^-4, E(15)^7, E(15)^4], [3, 1, 3*E(15)^-5, 3*E(15)^5, 0, 0, 0, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, -2*E(15)^2+E(15)^6-2*E(15)^7, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, E(15)^3+2*E(15)^6, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, E(15)^-5, E(15)^5, E(15)^-6, E(15)^6, E(15)^-3, E(15)^3, E(15)+2*E(15)^7, 2*E(15)^4+E(15)^7, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, -1*E(15)+2*E(15)^2-E(15)^6, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, -1+E(15)+E(15)^4-E(15)^5, -1*E(15)-E(15)^4, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, E(15)^-7, E(15)^7, E(15)^-2, E(15)^-4, E(15)^4, E(15), E(15)^2, E(15)^-1], [3, 1, 3*E(15)^5, 3*E(15)^-5, 0, 0, 0, -2*E(15)^2+E(15)^6-2*E(15)^7, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, E(15)^3+2*E(15)^6, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, E(15)^5, E(15)^-5, E(15)^6, E(15)^-6, E(15)^3, E(15)^-3, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, E(15)+2*E(15)^7, -1*E(15)+2*E(15)^2-E(15)^6, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, 2*E(15)^4+E(15)^7, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, -1+E(15)+E(15)^4-E(15)^5, -1*E(15)-E(15)^4, E(15)^7, E(15)^-7, E(15)^2, E(15)^4, E(15)^-4, E(15)^-1, E(15)^-2, E(15)], [3, -1, 3*E(15)^-5, 3*E(15)^5, 0, 0, 0, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, E(15)^3+2*E(15)^6, -2*E(15)^2+E(15)^6-2*E(15)^7, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^-5, -1*E(15)^5, -1*E(15)^-3, -1*E(15)^3, -1*E(15)^6, -1*E(15)^-6, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, E(15)+2*E(15)^7, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, 2*E(15)^4+E(15)^7, -1*E(15)+2*E(15)^2-E(15)^6, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, -1*E(15)-E(15)^4, -1+E(15)+E(15)^4-E(15)^5, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, -1*E(15)^-1, -1*E(15), -1*E(15)^4, -1*E(15)^-7, -1*E(15)^7, -1*E(15)^-2, -1*E(15)^-4, -1*E(15)^2], [3, -1, 3*E(15)^5, 3*E(15)^-5, 0, 0, 0, E(15)^3+2*E(15)^6, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, -2*E(15)^2+E(15)^6-2*E(15)^7, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^5, -1*E(15)^-5, -1*E(15)^3, -1*E(15)^-3, -1*E(15)^-6, -1*E(15)^6, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, 2*E(15)^4+E(15)^7, -1*E(15)+2*E(15)^2-E(15)^6, E(15)+2*E(15)^7, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, -1*E(15)-E(15)^4, -1+E(15)+E(15)^4-E(15)^5, -1*E(15), -1*E(15)^-1, -1*E(15)^-4, -1*E(15)^7, -1*E(15)^-7, -1*E(15)^2, -1*E(15)^4, -1*E(15)^-2], [3, -1, 3*E(15)^-5, 3*E(15)^5, 0, 0, 0, E(15)^3+2*E(15)^6, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, -2*E(15)^2+E(15)^6-2*E(15)^7, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^-5, -1*E(15)^5, -1*E(15)^3, -1*E(15)^-3, -1*E(15)^-6, -1*E(15)^6, 2*E(15)^4+E(15)^7, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, E(15)+2*E(15)^7, -1*E(15)+2*E(15)^2-E(15)^6, -1*E(15)-E(15)^4, -1+E(15)+E(15)^4-E(15)^5, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, -1*E(15)^-4, -1*E(15)^4, -1*E(15), -1*E(15)^2, -1*E(15)^-2, -1*E(15)^7, -1*E(15)^-1, -1*E(15)^-7], [3, -1, 3*E(15)^5, 3*E(15)^-5, 0, 0, 0, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, E(15)^3+2*E(15)^6, -2*E(15)^2+E(15)^6-2*E(15)^7, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, -1*E(15)^6-E(15)^-6, -1*E(15)^3-E(15)^-3, -1*E(15)^5, -1*E(15)^-5, -1*E(15)^-3, -1*E(15)^3, -1*E(15)^6, -1*E(15)^-6, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, -1*E(15)+2*E(15)^2-E(15)^6, 2*E(15)^4+E(15)^7, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, E(15)+2*E(15)^7, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, -1*E(15)-E(15)^4, -1+E(15)+E(15)^4-E(15)^5, -1*E(15)^4, -1*E(15)^-4, -1*E(15)^-1, -1*E(15)^-2, -1*E(15)^2, -1*E(15)^-7, -1*E(15), -1*E(15)^7], [3, -1, 3*E(15)^-5, 3*E(15)^5, 0, 0, 0, -2*E(15)^2+E(15)^6-2*E(15)^7, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, E(15)^3+2*E(15)^6, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^-5, -1*E(15)^5, -1*E(15)^6, -1*E(15)^-6, -1*E(15)^3, -1*E(15)^-3, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, -1*E(15)+2*E(15)^2-E(15)^6, E(15)+2*E(15)^7, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, 2*E(15)^4+E(15)^7, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, -1+E(15)+E(15)^4-E(15)^5, -1*E(15)-E(15)^4, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, -1*E(15)^2, -1*E(15)^-2, -1*E(15)^7, -1*E(15)^-1, -1*E(15), -1*E(15)^4, -1*E(15)^-7, -1*E(15)^-4], [3, -1, 3*E(15)^5, 3*E(15)^-5, 0, 0, 0, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, -2*E(15)^2+E(15)^6-2*E(15)^7, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, E(15)^3+2*E(15)^6, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^5, -1*E(15)^-5, -1*E(15)^-6, -1*E(15)^6, -1*E(15)^-3, -1*E(15)^3, -1*E(15)+2*E(15)^2-E(15)^6, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, 2*E(15)^4+E(15)^7, E(15)+2*E(15)^7, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, -1+E(15)+E(15)^4-E(15)^5, -1*E(15)-E(15)^4, -1*E(15)^-2, -1*E(15)^2, -1*E(15)^-7, -1*E(15), -1*E(15)^-1, -1*E(15)^-4, -1*E(15)^7, -1*E(15)^4], [3, -1, 3*E(15)^-5, 3*E(15)^5, 0, 0, 0, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, -2*E(15)^2+E(15)^6-2*E(15)^7, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, E(15)^3+2*E(15)^6, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^-5, -1*E(15)^5, -1*E(15)^-6, -1*E(15)^6, -1*E(15)^-3, -1*E(15)^3, E(15)+2*E(15)^7, 2*E(15)^4+E(15)^7, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, -1*E(15)+2*E(15)^2-E(15)^6, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, -1+E(15)+E(15)^4-E(15)^5, -1*E(15)-E(15)^4, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, -1*E(15)^-7, -1*E(15)^7, -1*E(15)^-2, -1*E(15)^-4, -1*E(15)^4, -1*E(15), -1*E(15)^2, -1*E(15)^-1], [3, -1, 3*E(15)^5, 3*E(15)^-5, 0, 0, 0, -2*E(15)^2+E(15)^6-2*E(15)^7, -1+E(15)^2+E(15)^3-E(15)^6+E(15)^7, E(15)^3+2*E(15)^6, -2+E(15)^2-2*E(15)^3-2*E(15)^6+E(15)^7, -1*E(15)^3-E(15)^-3, -1*E(15)^6-E(15)^-6, -1*E(15)^5, -1*E(15)^-5, -1*E(15)^6, -1*E(15)^-6, -1*E(15)^3, -1*E(15)^-3, -1+2*E(15)-E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^6+E(15)^7, -1-E(15)-E(15)^3+E(15)^4-E(15)^5-2*E(15)^6+E(15)^7, E(15)+2*E(15)^7, -1*E(15)+2*E(15)^2-E(15)^6, 1+E(15)-E(15)^4+E(15)^5-E(15)^7, 2-2*E(15)-E(15)^4+2*E(15)^5-2*E(15)^7, 2-E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^6-2*E(15)^7, 2*E(15)^4+E(15)^7, 1-E(15)-E(15)^2+E(15)^3-E(15)^4+E(15)^5-E(15)^7, -1+E(15)+E(15)^2-E(15)^3+E(15)^4+E(15)^7, -1+E(15)+E(15)^4-E(15)^5, -1*E(15)-E(15)^4, -1*E(15)^7, -1*E(15)^-7, -1*E(15)^2, -1*E(15)^4, -1*E(15)^-4, -1*E(15)^-1, -1*E(15)^-2, -1*E(15)], [6, 0, 6, 6, 0, 0, 0, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -1+E(5)^2+E(5)^-2, -2-E(5)^2-E(5)^-2, 0, 0, 0, 0, 0, 0, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -1+E(5)^2+E(5)^-2, -2-E(5)^2-E(5)^-2, -1+E(5)^2+E(5)^-2, -2-E(5)^2-E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 0, 0, 0, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2-E(5)^2-E(5)^-2, -1+E(5)^2+E(5)^-2, 0, 0, 0, 0, 0, 0, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2-E(5)^2-E(5)^-2, -1+E(5)^2+E(5)^-2, -2-E(5)^2-E(5)^-2, -1+E(5)^2+E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6*E(15)^-5, 6*E(15)^5, 0, 0, 0, -2*E(15)^3-2*E(15)^-3, -2*E(15)^3-2*E(15)^-3, -2*E(15)^6-2*E(15)^-6, -2*E(15)^6-2*E(15)^-6, -2+E(15)^2-E(15)^3+E(15)^7, -1-E(15)^2+E(15)^3-E(15)^7, 0, 0, 0, 0, 0, 0, -2+2*E(15)+2*E(15)^4-2*E(15)^5, -2*E(15)-2*E(15)^4, 2-2*E(15)-2*E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^5-2*E(15)^7, -2+2*E(15)+2*E(15)^4-2*E(15)^5, -2+2*E(15)+2*E(15)^2-2*E(15)^3+2*E(15)^4+2*E(15)^7, 2-2*E(15)-2*E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^5-2*E(15)^7, -2*E(15)-2*E(15)^4, -2+2*E(15)+2*E(15)^2-2*E(15)^3+2*E(15)^4+2*E(15)^7, 1+E(15)+E(15)^4+E(15)^5, 2-E(15)-E(15)^4+2*E(15)^5, 1-E(15)-E(15)^2+E(15)^3-E(15)^4-E(15)^5-E(15)^7, -1+E(15)+E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^7, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6*E(15)^5, 6*E(15)^-5, 0, 0, 0, -2*E(15)^3-2*E(15)^-3, -2*E(15)^3-2*E(15)^-3, -2*E(15)^6-2*E(15)^-6, -2*E(15)^6-2*E(15)^-6, -2+E(15)^2-E(15)^3+E(15)^7, -1-E(15)^2+E(15)^3-E(15)^7, 0, 0, 0, 0, 0, 0, 2-2*E(15)-2*E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^5-2*E(15)^7, -2+2*E(15)+2*E(15)^2-2*E(15)^3+2*E(15)^4+2*E(15)^7, -2+2*E(15)+2*E(15)^4-2*E(15)^5, 2-2*E(15)-2*E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^5-2*E(15)^7, -2*E(15)-2*E(15)^4, -2+2*E(15)+2*E(15)^4-2*E(15)^5, -2+2*E(15)+2*E(15)^2-2*E(15)^3+2*E(15)^4+2*E(15)^7, -2*E(15)-2*E(15)^4, 1-E(15)-E(15)^2+E(15)^3-E(15)^4-E(15)^5-E(15)^7, -1+E(15)+E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^7, 1+E(15)+E(15)^4+E(15)^5, 2-E(15)-E(15)^4+2*E(15)^5, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6*E(15)^-5, 6*E(15)^5, 0, 0, 0, -2*E(15)^6-2*E(15)^-6, -2*E(15)^6-2*E(15)^-6, -2*E(15)^3-2*E(15)^-3, -2*E(15)^3-2*E(15)^-3, -1-E(15)^2+E(15)^3-E(15)^7, -2+E(15)^2-E(15)^3+E(15)^7, 0, 0, 0, 0, 0, 0, -2*E(15)-2*E(15)^4, -2+2*E(15)+2*E(15)^4-2*E(15)^5, -2+2*E(15)+2*E(15)^2-2*E(15)^3+2*E(15)^4+2*E(15)^7, -2*E(15)-2*E(15)^4, 2-2*E(15)-2*E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^5-2*E(15)^7, -2+2*E(15)+2*E(15)^2-2*E(15)^3+2*E(15)^4+2*E(15)^7, -2+2*E(15)+2*E(15)^4-2*E(15)^5, 2-2*E(15)-2*E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^5-2*E(15)^7, 2-E(15)-E(15)^4+2*E(15)^5, 1+E(15)+E(15)^4+E(15)^5, -1+E(15)+E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^7, 1-E(15)-E(15)^2+E(15)^3-E(15)^4-E(15)^5-E(15)^7, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6*E(15)^5, 6*E(15)^-5, 0, 0, 0, -2*E(15)^6-2*E(15)^-6, -2*E(15)^6-2*E(15)^-6, -2*E(15)^3-2*E(15)^-3, -2*E(15)^3-2*E(15)^-3, -1-E(15)^2+E(15)^3-E(15)^7, -2+E(15)^2-E(15)^3+E(15)^7, 0, 0, 0, 0, 0, 0, -2+2*E(15)+2*E(15)^2-2*E(15)^3+2*E(15)^4+2*E(15)^7, 2-2*E(15)-2*E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^5-2*E(15)^7, -2*E(15)-2*E(15)^4, -2+2*E(15)+2*E(15)^2-2*E(15)^3+2*E(15)^4+2*E(15)^7, -2+2*E(15)+2*E(15)^4-2*E(15)^5, -2*E(15)-2*E(15)^4, 2-2*E(15)-2*E(15)^2+2*E(15)^3-2*E(15)^4+2*E(15)^5-2*E(15)^7, -2+2*E(15)+2*E(15)^4-2*E(15)^5, -1+E(15)+E(15)^2-E(15)^3+E(15)^4-2*E(15)^5+E(15)^7, 1-E(15)-E(15)^2+E(15)^3-E(15)^4-E(15)^5-E(15)^7, 2-E(15)-E(15)^4+2*E(15)^5, 1+E(15)+E(15)^4+E(15)^5, 0, 0, 0, 0, 0, 0, 0, 0]];
ConvertToLibraryCharacterTableNC(chartbl_450_20);