# Group 960.10966 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(8593022825841698262663120202750109516673799501984128795148547,960); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.5; e := GPC.6;
GPerm := Group( (1,2)(3,7)(4,8)(5,6)(9,14)(10,15)(11,13)(12,16)(18,19)(20,21), (3,9)(4,11)(7,14)(8,13)(10,12)(15,16), (2,6)(7,13)(8,14)(15,16), (3,4,12)(7,8,16)(9,10,11)(13,14,15), (17,18,20,21,19), (1,3,5,11)(2,7,6,13)(4,12,9,10)(8,16,14,15), (1,4,5,9)(2,8,6,14)(3,10,11,12)(7,15,13,16), (1,5)(2,6)(3,11)(4,9)(7,13)(8,14)(10,12)(15,16) );

 
# Booleans 
booleans_960_10966 := rec( 
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := false,
metacyclic := false,
monomial := false,
nilpotent := false,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := false); 

 
# Character Table 
chartbl_960_10966:=rec(); 
chartbl_960_10966.IsFinite:= true; 
chartbl_960_10966.UnderlyingCharacteristic:= 0; 
chartbl_960_10966.UnderlyingGroup:= GPC;
chartbl_960_10966.Size:= 960;
chartbl_960_10966.InfoText:= "Character table for group 960.10966 downloaded from the LMFDB."; 
chartbl_960_10966.Identifier:= " GL(2,3):D10 "; 
chartbl_960_10966.NrConjugacyClasses:= 55; 
chartbl_960_10966.ConjugacyClasses:= [<identity> of ..., f7*f8^2, f2, f3*f4*f7, f1, f1*f2, f2*f3*f4*f6, f1*f3*f6*f8^4, f4, f2*f6*f8, f5*f6*f8, f2*f3*f4*f7*f8^2, f3*f4*f6, f1*f2*f3*f4*f5*f6*f7*f8, f8^2, f8^4, f4^2*f7*f8^2, f2*f4^2, f3*f5*f8^3, f1*f6*f7*f8^3, f1*f5, f1*f2*f6*f7*f8^3, f1*f2*f3*f4*f6*f7, f1*f3*f4*f5*f8^4, f7, f7*f8, f2*f8^3, f2*f8^2, f2*f8^4, f2*f8, f1*f8, f1*f7, f1*f2*f8, f1*f2*f7, f2*f3*f4^2*f5, f4^2*f8, f4*f8^2, f2*f6, f2*f6*f7, f5*f6*f8^4, f5*f6*f7*f8^2, f4*f7, f4*f6, f2*f4*f8, f2*f4^2*f6, f2*f4*f7, f2*f4*f8^3, f1*f6, f1*f4*f6, f1*f5*f8^2, f1*f6*f7, f1*f2*f6, f1*f2*f5*f7, f1*f2*f5*f8, f1*f2*f6*f7];
chartbl_960_10966.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_960_10966.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 9, 2, 2, 2, 2, 2, 16, 15, 9, 9, 9, 11, 11, 11, 11, 11, 16, 15, 16, 16, 15, 15, 15, 16, 15, 16, 17, 37, 36, 25, 26, 26, 25, 36, 37, 37, 37, 36, 36, 40, 40, 41, 41, 40, 41, 40, 41], [1, 2, 3, 4, 5, 6, 7, 8, 1, 10, 11, 12, 13, 14, 16, 15, 2, 3, 4, 20, 21, 22, 23, 24, 26, 25, 29, 30, 28, 27, 32, 31, 34, 33, 12, 15, 16, 39, 38, 41, 40, 26, 25, 27, 28, 30, 29, 50, 51, 48, 49, 53, 54, 55, 52], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 1, 1, 17, 18, 19, 21, 20, 22, 23, 24, 2, 2, 3, 3, 3, 3, 5, 5, 6, 6, 35, 9, 9, 10, 10, 11, 11, 17, 17, 18, 18, 18, 18, 20, 21, 20, 21, 22, 22, 22, 22]];
chartbl_960_10966.SizesCentralizers:= [960, 960, 480, 96, 80, 80, 32, 16, 120, 160, 160, 96, 32, 16, 480, 480, 120, 60, 12, 160, 160, 80, 16, 16, 480, 480, 480, 480, 480, 480, 40, 40, 40, 40, 12, 60, 60, 80, 80, 80, 80, 60, 60, 60, 60, 60, 60, 80, 80, 80, 80, 80, 80, 80, 80];
chartbl_960_10966.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "3A", "4A", "4B", "4C", "4D", "4E", "5A1", "5A2", "6A", "6B", "6C", "8A1", "8A-1", "8B", "8C", "8D", "10A1", "10A3", "10B1", "10B-1", "10B3", "10B-3", "10C1", "10C3", "10D1", "10D3", "12A", "15A1", "15A2", "20A1", "20A3", "20B1", "20B3", "30A1", "30A7", "30B1", "30B-1", "30B7", "30B-7", "40A1", "40A-1", "40A3", "40A-3", "40B1", "40B3", "40B9", "40B13"];
chartbl_960_10966.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 15, 15, 20, 20, 20, 20, 30, 30, 30, 30, 30, 30, 40, 40, 40, 40, 40, 40, 40, 40];
chartbl_960_10966.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], [2, 2, 2, 2, 0, 0, 2, 0, -1, 2, 2, 2, 2, 0, 2, 2, -1, -1, -1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 2, 0, -1, -2, 2, 2, -2, 0, 2, 2, -1, 1, 1, 0, 0, 0, 0, 0, -2, 2, -2, -2, -2, 2, 0, 0, 0, 0, -1, -1, -1, -2, -2, 2, 2, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, 2, 0, 0, -2, 0, -1, -2, 2, -2, 2, 0, 2, 2, -1, 1, -1, 0, 0, 0, 0, 0, -2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 1, -1, -1, -2, -2, 2, 2, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, -2, 0, 0, -2, 0, -1, 2, 2, -2, -2, 0, 2, 2, -1, -1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, 2, 0, 2, 2, 2, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, 2, 0, 2, 2, 2, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2], [2, 2, -2, 0, -2, 2, 0, 0, 2, -2, 2, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, -2, 0, -2, -2, 2, 0, 0, -1*E(5)^2-E(5)^-2, E(5)+E(5)^-1, -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, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, -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)^2+E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, E(5)^2+E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, E(5)+E(5)^-1], [2, 2, -2, 0, -2, 2, 0, 0, 2, -2, 2, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, -2, 0, -2, -2, 2, 0, 0, -1*E(5)-E(5)^-1, E(5)^2+E(5)^-2, -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, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^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)+E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, E(5)+E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, E(5)^2+E(5)^-2], [2, 2, -2, 0, 2, -2, 0, 0, 2, -2, 2, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, -2, 0, 2, 2, -2, 0, 0, -1*E(5)^2-E(5)^-2, E(5)+E(5)^-1, -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)+E(5)^-1, E(5)^2+E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, -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)-E(5)^-1, -1*E(5)^2-E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, -1*E(5)^2-E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, -1*E(5)-E(5)^-1], [2, 2, -2, 0, 2, -2, 0, 0, 2, -2, 2, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, -2, 0, 2, 2, -2, 0, 0, -1*E(5)-E(5)^-1, E(5)^2+E(5)^-2, -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)^2+E(5)^-2, E(5)+E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^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-E(5)^-2, -1*E(5)-E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, -1*E(5)-E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, -1*E(5)^2-E(5)^-2], [2, 2, 2, 0, -2, -2, 0, 0, 2, 2, 2, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, 2, 0, -2, -2, -2, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-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-E(5)^-2, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-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-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1], [2, 2, 2, 0, -2, -2, 0, 0, 2, 2, 2, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, 2, 0, -2, -2, -2, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 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)-E(5)^-1, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 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)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2], [3, 3, 3, 3, 1, 1, -1, 1, 0, -1, -1, 3, -1, 1, 3, 3, 0, 0, 0, -1, -1, -1, -1, -1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1], [3, 3, 3, 3, -1, -1, -1, -1, 0, -1, -1, 3, -1, -1, 3, 3, 0, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, -3, -3, -1, 1, -1, 1, 0, 1, -1, 3, 1, -1, 3, 3, 0, 0, 0, 1, 1, -1, 1, -1, -3, 3, -3, -3, -3, 3, -1, -1, 1, 1, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, -1], [3, 3, -3, -3, 1, -1, -1, -1, 0, 1, -1, 3, 1, 1, 3, 3, 0, 0, 0, -1, -1, 1, -1, 1, -3, 3, -3, -3, -3, 3, 1, 1, -1, -1, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, 1], [3, 3, -3, 3, -1, 1, 1, -1, 0, 1, -1, -3, -1, 1, 3, 3, 0, 0, 0, 1, 1, -1, -1, 1, -3, 3, -3, -3, -3, 3, -1, -1, 1, 1, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, -1, 1, 1, -1], [3, 3, -3, 3, 1, -1, 1, 1, 0, 1, -1, -3, -1, -1, 3, 3, 0, 0, 0, -1, -1, 1, 1, -1, -3, 3, -3, -3, -3, 3, 1, 1, -1, -1, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, 1], [3, 3, 3, -3, -1, -1, 1, 1, 0, -1, -1, -3, 1, 1, 3, 3, 0, 0, 0, 1, 1, 1, -1, -1, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [3, 3, 3, -3, 1, 1, 1, -1, 0, -1, -1, -3, 1, -1, 3, 3, 0, 0, 0, -1, -1, -1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1], [4, 4, 4, 0, 0, 0, 0, 0, -2, 4, 4, 0, 0, 0, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, -2, -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*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, 0, 0, 0, 0, 0, -1*E(5)-E(5)^-1, -1*E(5)^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, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -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, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 0, 0, 0, 0, 0, -2, 4, 4, 0, 0, 0, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, -2, -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+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, 0, 0, 0, 0, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-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, -1*E(5)-E(5)^-1, -1*E(5)^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, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, -4, 0, 0, 0, 0, 0, -2, -4, 4, 0, 0, 0, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, -2, 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*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, 0, 0, 0, 0, 0, -1*E(5)-E(5)^-1, -1*E(5)^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, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, -4, 0, 0, 0, 0, 0, -2, -4, 4, 0, 0, 0, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, -2, 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)^2-2*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, 0, 0, 0, 0, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-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, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 4, 2, 0, 0, -2*E(8)-2*E(8)^3, 2*E(8)+2*E(8)^3, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, -2*E(8)-2*E(8)^3, 2*E(8)+2*E(8)^3, 0, -2*E(8)-2*E(8)^3, 2*E(8)+2*E(8)^3, 0], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 4, 2, 0, 0, 2*E(8)+2*E(8)^3, -2*E(8)-2*E(8)^3, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2*E(8)+2*E(8)^3, -2*E(8)-2*E(8)^3, 0, 2*E(8)+2*E(8)^3, -2*E(8)-2*E(8)^3, 0], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2*E(40)^4-2*E(40)^-4, 2*E(40)^8+2*E(40)^-8, 2, 0, 0, -2*E(40)^5-2*E(40)^15, 2*E(40)^5+2*E(40)^15, 0, 0, 0, 2-4*E(40)^4+2*E(40)^8-2*E(40)^12, -2*E(40)^8-2*E(40)^-8, 2*E(40)^8+2*E(40)^12, -2+4*E(40)^4-2*E(40)^8+2*E(40)^12, -2*E(40)^8-2*E(40)^12, 2*E(40)^4+2*E(40)^-4, 0, 0, 0, 0, 0, -1*E(40)^8-E(40)^-8, E(40)^4+E(40)^-4, 0, 0, 0, 0, -1*E(40)^4-E(40)^-4, E(40)^8+E(40)^-8, E(40)^8+E(40)^12, 1-2*E(40)^4+E(40)^8-E(40)^12, -1*E(40)^8-E(40)^12, -1+2*E(40)^4-E(40)^8+E(40)^12, -1*E(40)-E(40)^3+E(40)^5-E(40)^7-E(40)^9+2*E(40)^13, E(40)+E(40)^3-E(40)^7-E(40)^9+2*E(40)^11-E(40)^15, -1*E(40)+E(40)^3+E(40)^5-E(40)^7-E(40)^9, -1*E(40)+E(40)^3-E(40)^7-E(40)^9-E(40)^15, -1*E(40)-E(40)^3+E(40)^7+E(40)^9-2*E(40)^11+E(40)^15, E(40)-E(40)^3+E(40)^7+E(40)^9+E(40)^15, E(40)-E(40)^3-E(40)^5+E(40)^7+E(40)^9, E(40)+E(40)^3-E(40)^5+E(40)^7+E(40)^9-2*E(40)^13], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2*E(40)^4-2*E(40)^-4, 2*E(40)^8+2*E(40)^-8, 2, 0, 0, 2*E(40)^5+2*E(40)^15, -2*E(40)^5-2*E(40)^15, 0, 0, 0, -2+4*E(40)^4-2*E(40)^8+2*E(40)^12, -2*E(40)^8-2*E(40)^-8, -2*E(40)^8-2*E(40)^12, 2-4*E(40)^4+2*E(40)^8-2*E(40)^12, 2*E(40)^8+2*E(40)^12, 2*E(40)^4+2*E(40)^-4, 0, 0, 0, 0, 0, -1*E(40)^8-E(40)^-8, E(40)^4+E(40)^-4, 0, 0, 0, 0, -1*E(40)^4-E(40)^-4, E(40)^8+E(40)^-8, -1*E(40)^8-E(40)^12, -1+2*E(40)^4-E(40)^8+E(40)^12, E(40)^8+E(40)^12, 1-2*E(40)^4+E(40)^8-E(40)^12, -1*E(40)-E(40)^3+E(40)^5-E(40)^7-E(40)^9+2*E(40)^13, E(40)+E(40)^3-E(40)^7-E(40)^9+2*E(40)^11-E(40)^15, E(40)-E(40)^3-E(40)^5+E(40)^7+E(40)^9, E(40)-E(40)^3+E(40)^7+E(40)^9+E(40)^15, -1*E(40)-E(40)^3+E(40)^7+E(40)^9-2*E(40)^11+E(40)^15, -1*E(40)+E(40)^3-E(40)^7-E(40)^9-E(40)^15, -1*E(40)+E(40)^3+E(40)^5-E(40)^7-E(40)^9, E(40)+E(40)^3-E(40)^5+E(40)^7+E(40)^9-2*E(40)^13], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2*E(40)^4-2*E(40)^-4, 2*E(40)^8+2*E(40)^-8, 2, 0, 0, -2*E(40)^5-2*E(40)^15, 2*E(40)^5+2*E(40)^15, 0, 0, 0, -2+4*E(40)^4-2*E(40)^8+2*E(40)^12, -2*E(40)^8-2*E(40)^-8, -2*E(40)^8-2*E(40)^12, 2-4*E(40)^4+2*E(40)^8-2*E(40)^12, 2*E(40)^8+2*E(40)^12, 2*E(40)^4+2*E(40)^-4, 0, 0, 0, 0, 0, -1*E(40)^8-E(40)^-8, E(40)^4+E(40)^-4, 0, 0, 0, 0, -1*E(40)^4-E(40)^-4, E(40)^8+E(40)^-8, -1*E(40)^8-E(40)^12, -1+2*E(40)^4-E(40)^8+E(40)^12, E(40)^8+E(40)^12, 1-2*E(40)^4+E(40)^8-E(40)^12, E(40)+E(40)^3-E(40)^5+E(40)^7+E(40)^9-2*E(40)^13, -1*E(40)-E(40)^3+E(40)^7+E(40)^9-2*E(40)^11+E(40)^15, -1*E(40)+E(40)^3+E(40)^5-E(40)^7-E(40)^9, -1*E(40)+E(40)^3-E(40)^7-E(40)^9-E(40)^15, E(40)+E(40)^3-E(40)^7-E(40)^9+2*E(40)^11-E(40)^15, E(40)-E(40)^3+E(40)^7+E(40)^9+E(40)^15, E(40)-E(40)^3-E(40)^5+E(40)^7+E(40)^9, -1*E(40)-E(40)^3+E(40)^5-E(40)^7-E(40)^9+2*E(40)^13], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2*E(40)^4-2*E(40)^-4, 2*E(40)^8+2*E(40)^-8, 2, 0, 0, 2*E(40)^5+2*E(40)^15, -2*E(40)^5-2*E(40)^15, 0, 0, 0, 2-4*E(40)^4+2*E(40)^8-2*E(40)^12, -2*E(40)^8-2*E(40)^-8, 2*E(40)^8+2*E(40)^12, -2+4*E(40)^4-2*E(40)^8+2*E(40)^12, -2*E(40)^8-2*E(40)^12, 2*E(40)^4+2*E(40)^-4, 0, 0, 0, 0, 0, -1*E(40)^8-E(40)^-8, E(40)^4+E(40)^-4, 0, 0, 0, 0, -1*E(40)^4-E(40)^-4, E(40)^8+E(40)^-8, E(40)^8+E(40)^12, 1-2*E(40)^4+E(40)^8-E(40)^12, -1*E(40)^8-E(40)^12, -1+2*E(40)^4-E(40)^8+E(40)^12, E(40)+E(40)^3-E(40)^5+E(40)^7+E(40)^9-2*E(40)^13, -1*E(40)-E(40)^3+E(40)^7+E(40)^9-2*E(40)^11+E(40)^15, E(40)-E(40)^3-E(40)^5+E(40)^7+E(40)^9, E(40)-E(40)^3+E(40)^7+E(40)^9+E(40)^15, E(40)+E(40)^3-E(40)^7-E(40)^9+2*E(40)^11-E(40)^15, -1*E(40)+E(40)^3-E(40)^7-E(40)^9-E(40)^15, -1*E(40)+E(40)^3+E(40)^5-E(40)^7-E(40)^9, -1*E(40)-E(40)^3+E(40)^5-E(40)^7-E(40)^9+2*E(40)^13], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2*E(40)^8+2*E(40)^-8, -2*E(40)^4-2*E(40)^-4, 2, 0, 0, -2*E(40)^5-2*E(40)^15, 2*E(40)^5+2*E(40)^15, 0, 0, 0, -2*E(40)^8-2*E(40)^12, 2*E(40)^4+2*E(40)^-4, 2-4*E(40)^4+2*E(40)^8-2*E(40)^12, 2*E(40)^8+2*E(40)^12, -2+4*E(40)^4-2*E(40)^8+2*E(40)^12, -2*E(40)^8-2*E(40)^-8, 0, 0, 0, 0, 0, E(40)^4+E(40)^-4, -1*E(40)^8-E(40)^-8, 0, 0, 0, 0, E(40)^8+E(40)^-8, -1*E(40)^4-E(40)^-4, 1-2*E(40)^4+E(40)^8-E(40)^12, -1*E(40)^8-E(40)^12, -1+2*E(40)^4-E(40)^8+E(40)^12, E(40)^8+E(40)^12, E(40)+E(40)^3-E(40)^7-E(40)^9+2*E(40)^11-E(40)^15, E(40)+E(40)^3-E(40)^5+E(40)^7+E(40)^9-2*E(40)^13, E(40)-E(40)^3+E(40)^7+E(40)^9+E(40)^15, E(40)-E(40)^3-E(40)^5+E(40)^7+E(40)^9, -1*E(40)-E(40)^3+E(40)^5-E(40)^7-E(40)^9+2*E(40)^13, -1*E(40)+E(40)^3+E(40)^5-E(40)^7-E(40)^9, -1*E(40)+E(40)^3-E(40)^7-E(40)^9-E(40)^15, -1*E(40)-E(40)^3+E(40)^7+E(40)^9-2*E(40)^11+E(40)^15], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2*E(40)^8+2*E(40)^-8, -2*E(40)^4-2*E(40)^-4, 2, 0, 0, 2*E(40)^5+2*E(40)^15, -2*E(40)^5-2*E(40)^15, 0, 0, 0, 2*E(40)^8+2*E(40)^12, 2*E(40)^4+2*E(40)^-4, -2+4*E(40)^4-2*E(40)^8+2*E(40)^12, -2*E(40)^8-2*E(40)^12, 2-4*E(40)^4+2*E(40)^8-2*E(40)^12, -2*E(40)^8-2*E(40)^-8, 0, 0, 0, 0, 0, E(40)^4+E(40)^-4, -1*E(40)^8-E(40)^-8, 0, 0, 0, 0, E(40)^8+E(40)^-8, -1*E(40)^4-E(40)^-4, -1+2*E(40)^4-E(40)^8+E(40)^12, E(40)^8+E(40)^12, 1-2*E(40)^4+E(40)^8-E(40)^12, -1*E(40)^8-E(40)^12, E(40)+E(40)^3-E(40)^7-E(40)^9+2*E(40)^11-E(40)^15, E(40)+E(40)^3-E(40)^5+E(40)^7+E(40)^9-2*E(40)^13, -1*E(40)+E(40)^3-E(40)^7-E(40)^9-E(40)^15, -1*E(40)+E(40)^3+E(40)^5-E(40)^7-E(40)^9, -1*E(40)-E(40)^3+E(40)^5-E(40)^7-E(40)^9+2*E(40)^13, E(40)-E(40)^3-E(40)^5+E(40)^7+E(40)^9, E(40)-E(40)^3+E(40)^7+E(40)^9+E(40)^15, -1*E(40)-E(40)^3+E(40)^7+E(40)^9-2*E(40)^11+E(40)^15], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2*E(40)^8+2*E(40)^-8, -2*E(40)^4-2*E(40)^-4, 2, 0, 0, -2*E(40)^5-2*E(40)^15, 2*E(40)^5+2*E(40)^15, 0, 0, 0, 2*E(40)^8+2*E(40)^12, 2*E(40)^4+2*E(40)^-4, -2+4*E(40)^4-2*E(40)^8+2*E(40)^12, -2*E(40)^8-2*E(40)^12, 2-4*E(40)^4+2*E(40)^8-2*E(40)^12, -2*E(40)^8-2*E(40)^-8, 0, 0, 0, 0, 0, E(40)^4+E(40)^-4, -1*E(40)^8-E(40)^-8, 0, 0, 0, 0, E(40)^8+E(40)^-8, -1*E(40)^4-E(40)^-4, -1+2*E(40)^4-E(40)^8+E(40)^12, E(40)^8+E(40)^12, 1-2*E(40)^4+E(40)^8-E(40)^12, -1*E(40)^8-E(40)^12, -1*E(40)-E(40)^3+E(40)^7+E(40)^9-2*E(40)^11+E(40)^15, -1*E(40)-E(40)^3+E(40)^5-E(40)^7-E(40)^9+2*E(40)^13, E(40)-E(40)^3+E(40)^7+E(40)^9+E(40)^15, E(40)-E(40)^3-E(40)^5+E(40)^7+E(40)^9, E(40)+E(40)^3-E(40)^5+E(40)^7+E(40)^9-2*E(40)^13, -1*E(40)+E(40)^3+E(40)^5-E(40)^7-E(40)^9, -1*E(40)+E(40)^3-E(40)^7-E(40)^9-E(40)^15, E(40)+E(40)^3-E(40)^7-E(40)^9+2*E(40)^11-E(40)^15], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2*E(40)^8+2*E(40)^-8, -2*E(40)^4-2*E(40)^-4, 2, 0, 0, 2*E(40)^5+2*E(40)^15, -2*E(40)^5-2*E(40)^15, 0, 0, 0, -2*E(40)^8-2*E(40)^12, 2*E(40)^4+2*E(40)^-4, 2-4*E(40)^4+2*E(40)^8-2*E(40)^12, 2*E(40)^8+2*E(40)^12, -2+4*E(40)^4-2*E(40)^8+2*E(40)^12, -2*E(40)^8-2*E(40)^-8, 0, 0, 0, 0, 0, E(40)^4+E(40)^-4, -1*E(40)^8-E(40)^-8, 0, 0, 0, 0, E(40)^8+E(40)^-8, -1*E(40)^4-E(40)^-4, 1-2*E(40)^4+E(40)^8-E(40)^12, -1*E(40)^8-E(40)^12, -1+2*E(40)^4-E(40)^8+E(40)^12, E(40)^8+E(40)^12, -1*E(40)-E(40)^3+E(40)^7+E(40)^9-2*E(40)^11+E(40)^15, -1*E(40)-E(40)^3+E(40)^5-E(40)^7-E(40)^9+2*E(40)^13, -1*E(40)+E(40)^3-E(40)^7-E(40)^9-E(40)^15, -1*E(40)+E(40)^3+E(40)^5-E(40)^7-E(40)^9, E(40)+E(40)^3-E(40)^5+E(40)^7+E(40)^9-2*E(40)^13, E(40)-E(40)^3-E(40)^5+E(40)^7+E(40)^9, E(40)-E(40)^3+E(40)^7+E(40)^9+E(40)^15, E(40)+E(40)^3-E(40)^7-E(40)^9+2*E(40)^11-E(40)^15], [6, 6, 6, 0, 2, 2, 0, 0, 0, -2, -2, 0, 0, 0, 3*E(5)^2+3*E(5)^-2, 3*E(5)+3*E(5)^-1, 0, 0, 0, -2, -2, -2, 0, 0, 3*E(5)^2+3*E(5)^-2, 3*E(5)+3*E(5)^-1, 3*E(5)+3*E(5)^-1, 3*E(5)^2+3*E(5)^-2, 3*E(5)+3*E(5)^-1, 3*E(5)^2+3*E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, 0, 0, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 0, 0, 0, 0, 0, 0, -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)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1], [6, 6, 6, 0, 2, 2, 0, 0, 0, -2, -2, 0, 0, 0, 3*E(5)+3*E(5)^-1, 3*E(5)^2+3*E(5)^-2, 0, 0, 0, -2, -2, -2, 0, 0, 3*E(5)+3*E(5)^-1, 3*E(5)^2+3*E(5)^-2, 3*E(5)^2+3*E(5)^-2, 3*E(5)+3*E(5)^-1, 3*E(5)^2+3*E(5)^-2, 3*E(5)+3*E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 0, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 0, 0, 0, 0, 0, 0, -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)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2], [6, 6, 6, 0, -2, -2, 0, 0, 0, -2, -2, 0, 0, 0, 3*E(5)^2+3*E(5)^-2, 3*E(5)+3*E(5)^-1, 0, 0, 0, 2, 2, 2, 0, 0, 3*E(5)^2+3*E(5)^-2, 3*E(5)+3*E(5)^-1, 3*E(5)+3*E(5)^-1, 3*E(5)^2+3*E(5)^-2, 3*E(5)+3*E(5)^-1, 3*E(5)^2+3*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, 0, 0, 0, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 0, 0, 0, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1], [6, 6, 6, 0, -2, -2, 0, 0, 0, -2, -2, 0, 0, 0, 3*E(5)+3*E(5)^-1, 3*E(5)^2+3*E(5)^-2, 0, 0, 0, 2, 2, 2, 0, 0, 3*E(5)+3*E(5)^-1, 3*E(5)^2+3*E(5)^-2, 3*E(5)^2+3*E(5)^-2, 3*E(5)+3*E(5)^-1, 3*E(5)^2+3*E(5)^-2, 3*E(5)+3*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)-E(5)^-1, 0, 0, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 0, 0, 0, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2], [6, 6, -6, 0, -2, 2, 0, 0, 0, 2, -2, 0, 0, 0, 3*E(5)^2+3*E(5)^-2, 3*E(5)+3*E(5)^-1, 0, 0, 0, 2, 2, -2, 0, 0, -3*E(5)^2-3*E(5)^-2, 3*E(5)+3*E(5)^-1, -3*E(5)-3*E(5)^-1, -3*E(5)^2-3*E(5)^-2, -3*E(5)-3*E(5)^-1, 3*E(5)^2+3*E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 0, 0, 0, 0, 0, 0, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, -1*E(5)^2-E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, -1*E(5)-E(5)^-1], [6, 6, -6, 0, -2, 2, 0, 0, 0, 2, -2, 0, 0, 0, 3*E(5)+3*E(5)^-1, 3*E(5)^2+3*E(5)^-2, 0, 0, 0, 2, 2, -2, 0, 0, -3*E(5)-3*E(5)^-1, 3*E(5)^2+3*E(5)^-2, -3*E(5)^2-3*E(5)^-2, -3*E(5)-3*E(5)^-1, -3*E(5)^2-3*E(5)^-2, 3*E(5)+3*E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 0, 0, 0, 0, 0, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, -1*E(5)-E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, -1*E(5)^2-E(5)^-2], [6, 6, -6, 0, 2, -2, 0, 0, 0, 2, -2, 0, 0, 0, 3*E(5)^2+3*E(5)^-2, 3*E(5)+3*E(5)^-1, 0, 0, 0, -2, -2, 2, 0, 0, -3*E(5)^2-3*E(5)^-2, 3*E(5)+3*E(5)^-1, -3*E(5)-3*E(5)^-1, -3*E(5)^2-3*E(5)^-2, -3*E(5)-3*E(5)^-1, 3*E(5)^2+3*E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 0, 0, 0, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, E(5)^2+E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, E(5)+E(5)^-1], [6, 6, -6, 0, 2, -2, 0, 0, 0, 2, -2, 0, 0, 0, 3*E(5)+3*E(5)^-1, 3*E(5)^2+3*E(5)^-2, 0, 0, 0, -2, -2, 2, 0, 0, -3*E(5)-3*E(5)^-1, 3*E(5)^2+3*E(5)^-2, -3*E(5)^2-3*E(5)^-2, -3*E(5)-3*E(5)^-1, -3*E(5)^2-3*E(5)^-2, 3*E(5)+3*E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 0, 0, 0, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, E(5)+E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, E(5)^2+E(5)^-2], [8, -8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8, 8, -2, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4*E(5)^2+4*E(5)^-2, 4*E(5)+4*E(5)^-1, -2, 0, 0, 0, 0, 0, 0, 0, -4*E(5)^2+4*E(5)^-2, -4*E(5)-4*E(5)^-1, 4+8*E(5)+4*E(5)^2+4*E(5)^-2, 4*E(5)^2-4*E(5)^-2, -4-8*E(5)-4*E(5)^2-4*E(5)^-2, -4*E(5)^2-4*E(5)^-2, 0, 0, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, 0, 0, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1-2*E(5)-E(5)^2-E(5)^-2, E(5)^2-E(5)^-2, 1+2*E(5)+E(5)^2+E(5)^-2, -1*E(5)^2+E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4*E(5)^2+4*E(5)^-2, 4*E(5)+4*E(5)^-1, -2, 0, 0, 0, 0, 0, 0, 0, 4*E(5)^2-4*E(5)^-2, -4*E(5)-4*E(5)^-1, -4-8*E(5)-4*E(5)^2-4*E(5)^-2, -4*E(5)^2+4*E(5)^-2, 4+8*E(5)+4*E(5)^2+4*E(5)^-2, -4*E(5)^2-4*E(5)^-2, 0, 0, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, 0, 0, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 1+2*E(5)+E(5)^2+E(5)^-2, -1*E(5)^2+E(5)^-2, -1-2*E(5)-E(5)^2-E(5)^-2, E(5)^2-E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4*E(5)+4*E(5)^-1, 4*E(5)^2+4*E(5)^-2, -2, 0, 0, 0, 0, 0, 0, 0, -4-8*E(5)-4*E(5)^2-4*E(5)^-2, -4*E(5)^2-4*E(5)^-2, -4*E(5)^2+4*E(5)^-2, 4+8*E(5)+4*E(5)^2+4*E(5)^-2, 4*E(5)^2-4*E(5)^-2, -4*E(5)-4*E(5)^-1, 0, 0, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 0, 0, 0, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, E(5)^2-E(5)^-2, 1+2*E(5)+E(5)^2+E(5)^-2, -1*E(5)^2+E(5)^-2, -1-2*E(5)-E(5)^2-E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4*E(5)+4*E(5)^-1, 4*E(5)^2+4*E(5)^-2, -2, 0, 0, 0, 0, 0, 0, 0, 4+8*E(5)+4*E(5)^2+4*E(5)^-2, -4*E(5)^2-4*E(5)^-2, 4*E(5)^2-4*E(5)^-2, -4-8*E(5)-4*E(5)^2-4*E(5)^-2, -4*E(5)^2+4*E(5)^-2, -4*E(5)-4*E(5)^-1, 0, 0, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 0, 0, 0, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^2+E(5)^-2, -1-2*E(5)-E(5)^2-E(5)^-2, E(5)^2-E(5)^-2, 1+2*E(5)+E(5)^2+E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0]];
ConvertToLibraryCharacterTableNC(chartbl_960_10966);