Eigenschaften der Gruppe G11 mit Hilfe von GAP



Permutationsdarstellung der G11

	pgr11:=function()
	local d,g,sg,p;
	d:=FreeGroup("a","b","c");
	g:=d/[d.1^2,d.2^3,d.3^4,d.1*d.2*d.3*d.1*d.3^3*d.2^2,d.1*d.2*d.3*d.2^2*d.1*d.3^3];
	sg:=Subgroup(g,[g.3]);
	p:=Image(ActionHomomorphism(g,RightTransversal(g,sg),OnRight));
	return p;
	end;
	

Ergebnisse

     
	G11:=pgr11();

	gap> Size(G11);
	576

	gap> N11:=NormalSubgroups(G11);;

	gap> NTSize(N11);
	Groesse des 1. Normalteilers: 1
	Groesse des 2. Normalteilers: 2
	Groesse des 3. Normalteilers: 3
	Groesse des 4. Normalteilers: 4
	Groesse des 5. Normalteilers: 6
	Groesse des 6. Normalteilers: 8
	Groesse des 7. Normalteilers: 8
	Groesse des 8. Normalteilers: 12
	Groesse des 9. Normalteilers: 16
	Groesse des 10. Normalteilers: 24
	Groesse des 11. Normalteilers: 24
	Groesse des 12. Normalteilers: 24
	Groesse des 13. Normalteilers: 32
	Groesse des 14. Normalteilers: 48
	Groesse des 15. Normalteilers: 48
	Groesse des 16. Normalteilers: 48
	Groesse des 17. Normalteilers: 48
	Groesse des 18. Normalteilers: 72
	Groesse des 19. Normalteilers: 96
	Groesse des 20. Normalteilers: 96
	Groesse des 21. Normalteilers: 96
	Groesse des 22. Normalteilers: 96
	Groesse des 23. Normalteilers: 144
	Groesse des 24. Normalteilers: 144
	Groesse des 25. Normalteilers: 144
	Groesse des 26. Normalteilers: 192
	Groesse des 27. Normalteilers: 288
	Groesse des 28. Normalteilers: 288
	Groesse des 29. Normalteilers: 288
	Groesse des 30. Normalteilers: 576
	
	gap> Centre(G11);
	<permutation group of size 24 with 1 generators>
	
	gap> Size(Centre(G11));
	24
	
	gap> IsSolvable(G11);
	true
	
	gap> CompositionSeries(G11);
	[ <permutation group of size 576 with 8 generators>, 
	  <permutation group of size 288 with 7 generators>, 
	  <permutation group of size 144 with 6 generators>, 
	  <permutation group of size 48 with 5 generators>, 
	  <permutation group of size 24 with 4 generators>, 
	  <permutation group of size 8 with 3 generators>, 
	  <permutation group of size 4 with 2 generators>, 
	  <permutation group of size 2 with 1 generators>, Group(()) ]
	


Charaktertafel

	gap> ct11:=CharacterTable(G11);
	CharacterTable( <permutation group of size 576 with 3 generators> )
	
	gap> Display(ct11);
	CT1
	
	      2  6  6  5  3  3  4  5  5   3   3   5   6   6   5   5   4   3   3   5
	      3  2  2  1  2  2  1  1  1   2   2   1   2   2   1   1   1   2   2   1
	
	        1a 2a 4a 3a 6a 2b 8a 8b  3b  6b 12a  6c  3c 24a 24b  6d  3d  6e 12b
	     2P 1a 1a 2a 3a 3a 1a 4a 4a  3d  3d  6f  3e  3e 12b 12b  3e  3b  3b  6c
	     3P 1a 2a 4a 1a 2a 2b 8a 8b  1a  2a  4a  2a  1a  8a  8b  2b  1a  2a  4a
	     5P 1a 2a 4a 3a 6a 2b 8b 8a  3d  6e 12b  6f  3e 24c 24d  6g  3b  6b 12a
	     7P 1a 2a 4a 3a 6a 2b 8b 8a  3b  6b 12a  6c  3c 24b 24a  6d  3d  6e 12b
	    11P 1a 2a 4a 3a 6a 2b 8a 8b  3d  6e 12b  6f  3e 24d 24c  6g  3b  6b 12a
	    13P 1a 2a 4a 3a 6a 2b 8b 8a  3b  6b 12a  6c  3c 24b 24a  6d  3d  6e 12b
	    17P 1a 2a 4a 3a 6a 2b 8a 8b  3d  6e 12b  6f  3e 24d 24c  6g  3b  6b 12a
	    19P 1a 2a 4a 3a 6a 2b 8a 8b  3b  6b 12a  6c  3c 24a 24b  6d  3d  6e 12b
	    23P 1a 2a 4a 3a 6a 2b 8b 8a  3d  6e 12b  6f  3e 24c 24d  6g  3b  6b 12a
	
	X.1      1  1  1  1  1  1  1  1   1   1   1   1   1   1   1   1   1   1   1
	X.2      1  1  1  1  1 -1 -1 -1   1   1   1   1   1  -1  -1  -1   1   1   1
	X.3      1  1  1  1  1  1  1  1   1   1   1   1   1   1   1   1   1   1   1
	X.4      1  1  1  1  1 -1 -1 -1   1   1   1   1   1  -1  -1  -1   1   1   1
	X.5      1  1  1  1  1  1  1  1   B   B   B   B   B   B   B   B  /B  /B  /B
	X.6      1  1  1  1  1 -1 -1 -1   B   B   B   B   B  -B  -B  -B  /B  /B  /B
	X.7      1  1  1  1  1  1  1  1  /B  /B  /B  /B  /B  /B  /B  /B   B   B   B
	X.8      1  1  1  1  1 -1 -1 -1  /B  /B  /B  /B  /B -/B -/B -/B   B   B   B
	X.9      1  1  1  1  1  1  1  1   1   1   1   1   1   1   1   1   1   1   1
	X.10     1  1  1  1  1 -1 -1 -1   1   1   1   1   1  -1  -1  -1   1   1   1
	X.11     1  1  1  1  1  1  1  1   B   B   B   B   B   B   B   B  /B  /B  /B
	X.12     1  1  1  1  1 -1 -1 -1   B   B   B   B   B  -B  -B  -B  /B  /B  /B
	X.13     1  1  1  1  1  1  1  1  /B  /B  /B  /B  /B  /B  /B  /B   B   B   B
	X.14     1  1  1  1  1 -1 -1 -1  /B  /B  /B  /B  /B -/B -/B -/B   B   B   B
	X.15     1  1  1  1  1  1  1  1   B   B   B   B   B   B   B   B  /B  /B  /B
	X.16     1  1  1  1  1 -1 -1 -1   B   B   B   B   B  -B  -B  -B  /B  /B  /B
	X.17     1  1  1  1  1  1  1  1  /B  /B  /B  /B  /B  /B  /B  /B   B   B   B
	X.18     1  1  1  1  1 -1 -1 -1  /B  /B  /B  /B  /B -/B -/B -/B   B   B   B
	X.19     1  1  1  1  1  1  1  1   1   1   1   1   1   1   1   1   1   1   1
	X.20     1  1  1  1  1 -1 -1 -1   1   1   1   1   1  -1  -1  -1   1   1   1
	X.21     1  1  1  1  1  1  1  1   B   B   B   B   B   B   B   B  /B  /B  /B
	X.22     1  1  1  1  1 -1 -1 -1   B   B   B   B   B  -B  -B  -B  /B  /B  /B
	X.23     1  1  1  1  1  1  1  1  /B  /B  /B  /B  /B  /B  /B  /B   B   B   B
	X.24     1  1  1  1  1 -1 -1 -1  /B  /B  /B  /B  /B -/B -/B -/B   B   B   B
	X.25     2  2  2 -1 -1  .  .  .  -1  -1   2   2   2   .   .   .  -1  -1   2
	X.26     2  2  2 -1 -1  .  .  .  -1  -1   2   2   2   .   .   .  -1  -1   2
	X.27     2  2  2 -1 -1  .  .  . -/B -/B   C   C   C   .   .   .  -B  -B  /C
	X.28     2  2  2 -1 -1  .  .  . -/B -/B   C   C   C   .   .   .  -B  -B  /C
	X.29     2  2  2 -1 -1  .  .  .  -B  -B  /C  /C  /C   .   .   . -/B -/B   C
	X.30     2  2  2 -1 -1  .  .  .  -B  -B  /C  /C  /C   .   .   . -/B -/B   C
	X.31     2  2  2 -1 -1  .  .  . -/B -/B   C   C   C   .   .   .  -B  -B  /C
	X.32     2  2  2 -1 -1  .  .  . -/B -/B   C   C   C   .   .   .  -B  -B  /C
	X.33     2  2  2 -1 -1  .  .  .  -1  -1   2   2   2   .   .   .  -1  -1   2
	X.34     2  2  2 -1 -1  .  .  .  -1  -1   2   2   2   .   .   .  -1  -1   2
	X.35     2  2  2 -1 -1  .  .  .  -B  -B  /C  /C  /C   .   .   . -/B -/B   C
	X.36     2  2  2 -1 -1  .  .  .  -B  -B  /C  /C  /C   .   .   . -/B -/B   C
	X.37     2 -2  . -1  1  .  A -A  -B   B   . -/C  /C   F  -F   . -/B  /B   .
	X.38     2 -2  . -1  1  . -A  A  -B   B   . -/C  /C  -F   F   . -/B  /B   .
	X.39     2 -2  . -1  1  .  A -A -/B  /B   .  -C   C -/F  /F   .  -B   B   .
	X.40     2 -2  . -1  1  . -A  A -/B  /B   .  -C   C  /F -/F   .  -B   B   .
	X.41     2 -2  . -1  1  .  A -A  -1   1   .  -2   2   A  -A   .  -1   1   .
	X.42     2 -2  . -1  1  . -A  A  -1   1   .  -2   2  -A   A   .  -1   1   .
	X.43     2 -2  . -1  1  .  A -A  -B   B   . -/C  /C   F  -F   . -/B  /B   .
	X.44     2 -2  . -1  1  . -A  A  -B   B   . -/C  /C  -F   F   . -/B  /B   .
	X.45     2 -2  . -1  1  .  A -A -/B  /B   .  -C   C -/F  /F   .  -B   B   .
	X.46     2 -2  . -1  1  . -A  A -/B  /B   .  -C   C  /F -/F   .  -B   B   .
	X.47     2 -2  . -1  1  .  A -A  -1   1   .  -2   2   A  -A   .  -1   1   .
	X.48     2 -2  . -1  1  . -A  A  -1   1   .  -2   2  -A   A   .  -1   1   .
	X.49     2 -2  . -1  1  .  A -A  -B   B   . -/C  /C   F  -F   . -/B  /B   .
	X.50     2 -2  . -1  1  . -A  A  -B   B   . -/C  /C  -F   F   . -/B  /B   .
	X.51     2 -2  . -1  1  .  A -A -/B  /B   .  -C   C -/F  /F   .  -B   B   .
	X.52     2 -2  . -1  1  . -A  A -/B  /B   .  -C   C  /F -/F   .  -B   B   .
	X.53     2 -2  . -1  1  .  A -A  -1   1   .  -2   2   A  -A   .  -1   1   .
	X.54     2 -2  . -1  1  . -A  A  -1   1   .  -2   2  -A   A   .  -1   1   .
	X.55     2 -2  . -1  1  .  A -A  -B   B   . -/C  /C   F  -F   . -/B  /B   .
	X.56     2 -2  . -1  1  . -A  A  -B   B   . -/C  /C  -F   F   . -/B  /B   .
	X.57     2 -2  . -1  1  .  A -A -/B  /B   .  -C   C -/F  /F   .  -B   B   .
	X.58     2 -2  . -1  1  . -A  A -/B  /B   .  -C   C  /F -/F   .  -B   B   .
	X.59     2 -2  . -1  1  .  A -A  -1   1   .  -2   2   A  -A   .  -1   1   .
	X.60     2 -2  . -1  1  . -A  A  -1   1   .  -2   2  -A   A   .  -1   1   .
	X.61     3  3 -1  .  . -1  1  1   .   .  -1   3   3   1   1  -1   .   .  -1
	X.62     3  3 -1  .  . -1  1  1   .   .  -1   3   3   1   1  -1   .   .  -1
	X.63     3  3 -1  .  .  1 -1 -1   .   .  -1   3   3  -1  -1   1   .   .  -1
	X.64     3  3 -1  .  .  1 -1 -1   .   .  -1   3   3  -1  -1   1   .   .  -1
	X.65     3  3 -1  .  . -1  1  1   .   .  -1   3   3   1   1  -1   .   .  -1
	X.66     3  3 -1  .  . -1  1  1   .   .  -1   3   3   1   1  -1   .   .  -1
	X.67     3  3 -1  .  . -1  1  1   .   .  -B   D   D   B   B  -B   .   . -/B
	X.68     3  3 -1  .  . -1  1  1   .   .  -B   D   D   B   B  -B   .   . -/B
	X.69     3  3 -1  .  . -1  1  1   .   .  -B   D   D   B   B  -B   .   . -/B
	X.70     3  3 -1  .  . -1  1  1   .   .  -B   D   D   B   B  -B   .   . -/B
	X.71     3  3 -1  .  . -1  1  1   .   . -/B  /D  /D  /B  /B -/B   .   .  -B
	X.72     3  3 -1  .  . -1  1  1   .   . -/B  /D  /D  /B  /B -/B   .   .  -B
	X.73     3  3 -1  .  . -1  1  1   .   . -/B  /D  /D  /B  /B -/B   .   .  -B
	X.74     3  3 -1  .  . -1  1  1   .   . -/B  /D  /D  /B  /B -/B   .   .  -B
	X.75     3  3 -1  .  .  1 -1 -1   .   .  -1   3   3  -1  -1   1   .   .  -1
	X.76     3  3 -1  .  .  1 -1 -1   .   .  -1   3   3  -1  -1   1   .   .  -1
	X.77     3  3 -1  .  .  1 -1 -1   .   .  -B   D   D  -B  -B   B   .   . -/B
	X.78     3  3 -1  .  .  1 -1 -1   .   .  -B   D   D  -B  -B   B   .   . -/B
	X.79     3  3 -1  .  .  1 -1 -1   .   .  -B   D   D  -B  -B   B   .   . -/B
	X.80     3  3 -1  .  .  1 -1 -1   .   .  -B   D   D  -B  -B   B   .   . -/B
	X.81     3  3 -1  .  .  1 -1 -1   .   . -/B  /D  /D -/B -/B  /B   .   .  -B
	X.82     3  3 -1  .  .  1 -1 -1   .   . -/B  /D  /D -/B -/B  /B   .   .  -B
	X.83     3  3 -1  .  .  1 -1 -1   .   . -/B  /D  /D -/B -/B  /B   .   .  -B
	X.84     3  3 -1  .  .  1 -1 -1   .   . -/B  /D  /D -/B -/B  /B   .   .  -B
	X.85     4 -4  .  1 -1  .  .  .   B  -B   .   E  -E   .   .   .  /B -/B   .
	X.86     4 -4  .  1 -1  .  .  .   B  -B   .   E  -E   .   .   .  /B -/B   .
	X.87     4 -4  .  1 -1  .  .  .  /B -/B   .  /E -/E   .   .   .   B  -B   .
	X.88     4 -4  .  1 -1  .  .  .  /B -/B   .  /E -/E   .   .   .   B  -B   .
	X.89     4 -4  .  1 -1  .  .  .   1  -1   .  -4   4   .   .   .   1  -1   .
	X.90     4 -4  .  1 -1  .  .  .   1  -1   .  -4   4   .   .   .   1  -1   .
	X.91     4 -4  .  1 -1  .  .  .   B  -B   .   E  -E   .   .   .  /B -/B   .
	X.92     4 -4  .  1 -1  .  .  .   B  -B   .   E  -E   .   .   .  /B -/B   .
	X.93     4 -4  .  1 -1  .  .  .  /B -/B   .  /E -/E   .   .   .   B  -B   .
	X.94     4 -4  .  1 -1  .  .  .  /B -/B   .  /E -/E   .   .   .   B  -B   .
	X.95     4 -4  .  1 -1  .  .  .   1  -1   .  -4   4   .   .   .   1  -1   .
	X.96     4 -4  .  1 -1  .  .  .   1  -1   .  -4   4   .   .   .   1  -1   .
	
	      2   6   6   5   5   4  5  6  6   3   3  5  5  4   3   3   6   6   5   4
	      3   2   2   1   1   1  1  2  2   2   2  1  1  1   2   2   2   2   1   1
	
	         3e  6f 24c 24d  6g 2c 4b 4c 12c 12d 8c 8d 4d 12e 12f 12g 12h  6h 12i
	     2P  3c  3c 12a 12a  3c 1a 2a 2a  6a  6a 4a 4a 2a  6e  6e  6f  6f  3e  6f
	     3P  1a  2a  8b  8a  2b 2c 4c 4b  4c  4b 8d 8c 4d  4c  4b  4c  4b  2c  4d
	     5P  3c  6c 24a 24b  6d 2c 4b 4c 12c 12d 8d 8c 4d 12k 12j 12m 12l  6i 12n
	     7P  3e  6f 24d 24c  6g 2c 4c 4b 12d 12c 8c 8d 4d 12f 12e 12h 12g  6h 12i
	    11P  3c  6c 24b 24a  6d 2c 4c 4b 12d 12c 8d 8c 4d 12j 12k 12l 12m  6i 12n
	    13P  3e  6f 24d 24c  6g 2c 4b 4c 12c 12d 8d 8c 4d 12e 12f 12g 12h  6h 12i
	    17P  3c  6c 24b 24a  6d 2c 4b 4c 12c 12d 8c 8d 4d 12k 12j 12m 12l  6i 12n
	    19P  3e  6f 24c 24d  6g 2c 4c 4b 12d 12c 8d 8c 4d 12f 12e 12h 12g  6h 12i
	    23P  3c  6c 24a 24b  6d 2c 4c 4b 12d 12c 8c 8d 4d 12j 12k 12l 12m  6i 12n
	
	X.1       1   1   1   1   1  1  1  1   1   1  1  1  1   1   1   1   1   1   1
	X.2       1   1  -1  -1  -1  1  1  1   1   1 -1 -1 -1   1   1   1   1   1  -1
	X.3       1   1   1   1   1  1  1  1   1   1  1  1  1   1   1   1   1   1   1
	X.4       1   1  -1  -1  -1  1  1  1   1   1 -1 -1 -1   1   1   1   1   1  -1
	X.5      /B  /B  /B  /B  /B  1  1  1   1   1  1  1  1   B   B   B   B   B   B
	X.6      /B  /B -/B -/B -/B  1  1  1   1   1 -1 -1 -1   B   B   B   B   B  -B
	X.7       B   B   B   B   B  1  1  1   1   1  1  1  1  /B  /B  /B  /B  /B  /B
	X.8       B   B  -B  -B  -B  1  1  1   1   1 -1 -1 -1  /B  /B  /B  /B  /B -/B
	X.9       1   1   1   1   1 -1 -1 -1  -1  -1 -1 -1 -1  -1  -1  -1  -1  -1  -1
	X.10      1   1  -1  -1  -1 -1 -1 -1  -1  -1  1  1  1  -1  -1  -1  -1  -1   1
	X.11     /B  /B  /B  /B  /B -1 -1 -1  -1  -1 -1 -1 -1  -B  -B  -B  -B  -B  -B
	X.12     /B  /B -/B -/B -/B -1 -1 -1  -1  -1  1  1  1  -B  -B  -B  -B  -B   B
	X.13      B   B   B   B   B -1 -1 -1  -1  -1 -1 -1 -1 -/B -/B -/B -/B -/B -/B
	X.14      B   B  -B  -B  -B -1 -1 -1  -1  -1  1  1  1 -/B -/B -/B -/B -/B  /B
	X.15     /B  /B  /B  /B  /B  1  1  1   1   1  1  1  1   B   B   B   B   B   B
	X.16     /B  /B -/B -/B -/B  1  1  1   1   1 -1 -1 -1   B   B   B   B   B  -B
	X.17      B   B   B   B   B  1  1  1   1   1  1  1  1  /B  /B  /B  /B  /B  /B
	X.18      B   B  -B  -B  -B  1  1  1   1   1 -1 -1 -1  /B  /B  /B  /B  /B -/B
	X.19      1   1   1   1   1 -1 -1 -1  -1  -1 -1 -1 -1  -1  -1  -1  -1  -1  -1
	X.20      1   1  -1  -1  -1 -1 -1 -1  -1  -1  1  1  1  -1  -1  -1  -1  -1   1
	X.21     /B  /B  /B  /B  /B -1 -1 -1  -1  -1 -1 -1 -1  -B  -B  -B  -B  -B  -B
	X.22     /B  /B -/B -/B -/B -1 -1 -1  -1  -1  1  1  1  -B  -B  -B  -B  -B   B
	X.23      B   B   B   B   B -1 -1 -1  -1  -1 -1 -1 -1 -/B -/B -/B -/B -/B -/B
	X.24      B   B  -B  -B  -B -1 -1 -1  -1  -1  1  1  1 -/B -/B -/B -/B -/B  /B
	X.25      2   2   .   .   .  2  2  2  -1  -1  .  .  .  -1  -1   2   2   2   .
	X.26      2   2   .   .   .  2  2  2  -1  -1  .  .  .  -1  -1   2   2   2   .
	X.27     /C  /C   .   .   .  2  2  2  -1  -1  .  .  . -/B -/B   C   C   C   .
	X.28     /C  /C   .   .   .  2  2  2  -1  -1  .  .  . -/B -/B   C   C   C   .
	X.29      C   C   .   .   .  2  2  2  -1  -1  .  .  .  -B  -B  /C  /C  /C   .
	X.30      C   C   .   .   .  2  2  2  -1  -1  .  .  .  -B  -B  /C  /C  /C   .
	X.31     /C  /C   .   .   . -2 -2 -2   1   1  .  .  .  /B  /B  -C  -C  -C   .
	X.32     /C  /C   .   .   . -2 -2 -2   1   1  .  .  .  /B  /B  -C  -C  -C   .
	X.33      2   2   .   .   . -2 -2 -2   1   1  .  .  .   1   1  -2  -2  -2   .
	X.34      2   2   .   .   . -2 -2 -2   1   1  .  .  .   1   1  -2  -2  -2   .
	X.35      C   C   .   .   . -2 -2 -2   1   1  .  .  .   B   B -/C -/C -/C   .
	X.36      C   C   .   .   . -2 -2 -2   1   1  .  .  .   B   B -/C -/C -/C   .
	X.37      C  -C  /F -/F   .  .  G -G   I  -I  J -J  .   K  -K   L  -L   .   .
	X.38      C  -C -/F  /F   .  .  G -G   I  -I -J  J  .   K  -K   L  -L   .   .
	X.39     /C -/C  -F   F   .  .  G -G   I  -I  J -J  . -/K  /K -/L  /L   .   .
	X.40     /C -/C   F  -F   .  .  G -G   I  -I -J  J  . -/K  /K -/L  /L   .   .
	X.41      2  -2  -A   A   .  .  G -G   I  -I  J -J  .   I  -I   G  -G   .   .
	X.42      2  -2   A  -A   .  .  G -G   I  -I -J  J  .   I  -I   G  -G   .   .
	X.43      C  -C  /F -/F   .  .  G -G   I  -I  J -J  .   K  -K   L  -L   .   .
	X.44      C  -C -/F  /F   .  .  G -G   I  -I -J  J  .   K  -K   L  -L   .   .
	X.45     /C -/C  -F   F   .  .  G -G   I  -I  J -J  . -/K  /K -/L  /L   .   .
	X.46     /C -/C   F  -F   .  .  G -G   I  -I -J  J  . -/K  /K -/L  /L   .   .
	X.47      2  -2  -A   A   .  .  G -G   I  -I  J -J  .   I  -I   G  -G   .   .
	X.48      2  -2   A  -A   .  .  G -G   I  -I -J  J  .   I  -I   G  -G   .   .
	X.49      C  -C  /F -/F   .  . -G  G  -I   I -J  J  .  -K   K  -L   L   .   .
	X.50      C  -C -/F  /F   .  . -G  G  -I   I  J -J  .  -K   K  -L   L   .   .
	X.51     /C -/C  -F   F   .  . -G  G  -I   I -J  J  .  /K -/K  /L -/L   .   .
	X.52     /C -/C   F  -F   .  . -G  G  -I   I  J -J  .  /K -/K  /L -/L   .   .
	X.53      2  -2  -A   A   .  . -G  G  -I   I -J  J  .  -I   I  -G   G   .   .
	X.54      2  -2   A  -A   .  . -G  G  -I   I  J -J  .  -I   I  -G   G   .   .
	X.55      C  -C  /F -/F   .  . -G  G  -I   I -J  J  .  -K   K  -L   L   .   .
	X.56      C  -C -/F  /F   .  . -G  G  -I   I  J -J  .  -K   K  -L   L   .   .
	X.57     /C -/C  -F   F   .  . -G  G  -I   I -J  J  .  /K -/K  /L -/L   .   .
	X.58     /C -/C   F  -F   .  . -G  G  -I   I  J -J  .  /K -/K  /L -/L   .   .
	X.59      2  -2  -A   A   .  . -G  G  -I   I -J  J  .  -I   I  -G   G   .   .
	X.60      2  -2   A  -A   .  . -G  G  -I   I  J -J  .  -I   I  -G   G   .   .
	X.61      3   3   1   1  -1 -1  3  3   .   .  1  1 -1   .   .   3   3  -1  -1
	X.62      3   3   1   1  -1 -1  3  3   .   .  1  1 -1   .   .   3   3  -1  -1
	X.63      3   3  -1  -1   1 -1  3  3   .   . -1 -1  1   .   .   3   3  -1   1
	X.64      3   3  -1  -1   1 -1  3  3   .   . -1 -1  1   .   .   3   3  -1   1
	X.65      3   3   1   1  -1  1 -3 -3   .   . -1 -1  1   .   .  -3  -3   1   1
	X.66      3   3   1   1  -1  1 -3 -3   .   . -1 -1  1   .   .  -3  -3   1   1
	X.67     /D  /D  /B  /B -/B -1  3  3   .   .  1  1 -1   .   .   D   D  -B  -B
	X.68     /D  /D  /B  /B -/B -1  3  3   .   .  1  1 -1   .   .   D   D  -B  -B
	X.69     /D  /D  /B  /B -/B  1 -3 -3   .   . -1 -1  1   .   .  -D  -D   B   B
	X.70     /D  /D  /B  /B -/B  1 -3 -3   .   . -1 -1  1   .   .  -D  -D   B   B
	X.71      D   D   B   B  -B -1  3  3   .   .  1  1 -1   .   .  /D  /D -/B -/B
	X.72      D   D   B   B  -B -1  3  3   .   .  1  1 -1   .   .  /D  /D -/B -/B
	X.73      D   D   B   B  -B  1 -3 -3   .   . -1 -1  1   .   . -/D -/D  /B  /B
	X.74      D   D   B   B  -B  1 -3 -3   .   . -1 -1  1   .   . -/D -/D  /B  /B
	X.75      3   3  -1  -1   1  1 -3 -3   .   .  1  1 -1   .   .  -3  -3   1  -1
	X.76      3  	 3  -1  -1   1  1 -3 -3   .   .  1  1 -1   .   .  -3  -3   1  -1
	X.77     /D  /D -/B -/B  /B -1  3  3   .   . -1 -1  1   .   .   D   D  -B   B
	X.78     /D  /D -/B -/B  /B -1  3  3   .   . -1 -1  1   .   .   D   D  -B   B
	X.79     /D  /D -/B -/B  /B  1 -3 -3   .   .  1  1 -1   .   .  -D  -D   B  -B
	X.80     /D  /D -/B -/B  /B  1 -3 -3   .   .  1  1 -1   .   .  -D  -D   B  -B
	X.81      D   D  -B  -B   B -1  3  3   .   . -1 -1  1   .   .  /D  /D -/B  /B
	X.82      D   D  -B  -B   B -1  3  3   .   . -1 -1  1   .   .  /D  /D -/B  /B
	X.83      D   D  -B  -B   B  1 -3 -3   .   .  1  1 -1   .   . -/D -/D  /B -/B
	X.84      D   D  -B  -B   B  1 -3 -3   .   .  1  1 -1   .   . -/D -/D  /B -/B
	X.85    -/E  /E   .   .   .  .  H -H  -I   I  .  .  .  -K   K   M  -M   .   .
	X.86    -/E  /E   .   .   .  .  H -H  -I   I  .  .  .  -K   K   M  -M   .   .
	X.87     -E   E   .   .   .  .  H -H  -I   I  .  .  .  /K -/K -/M  /M   .   .
	X.88     -E   E   .   .   .  .  H -H  -I   I  .  .  .  /K -/K -/M  /M   .   .
	X.89      4  -4   .   .   .  .  H -H  -I   I  .  .  .  -I   I   H  -H   .   .
	X.90      4  -4   .   .   .  .  H -H  -I   I  .  .  .  -I   I   H  -H   .   .
	X.91    -/E  /E   .   .   .  . -H  H   I  -I  .  .  .   K  -K  -M   M   .   .
	X.92    -/E  /E   .   .   .  . -H  H   I  -I  .  .  .   K  -K  -M   M   .   .
	X.93     -E   E   .   .   .  . -H  H   I  -I  .  .  . -/K  /K  /M -/M   .   .
	X.94     -E   E   .   .   .  . -H  H   I  -I  .  .  . -/K  /K  /M -/M   .   .
	X.95      4  -4   .   .   .  . -H  H   I  -I  .  .  .   I  -I  -H   H   .   .
	X.96      4  -4   .   .   .  . -H  H   I  -I  .  .  .   I  -I  -H   H   .   .
	
	      2   5   5   3   3   5   6   6   5   5   4   5   5  4   3   3  5   6   6
	      3   1   1   2   2   1   2   2   1   1   1   1   1  1   2   2  1   2   2
	
	        24e 24f 12j 12k  6i 12l 12m 24g 24h 12n  4e  4f 8e 24i 24j 8f  8g  8h
	     2P 12b 12b  6b  6b  3c  6c  6c 12a 12a  6c  2c  2c 4b 12c 12c 4c  4b  4b
	     3P  8c  8d  4b  4c  2c  4b  4c  8c  8d  4d  4g  4h 8i  8l  8k 8j  8l  8k
	     5P 24h 24g 12f 12e  6h 12h 12g 24f 24e 12i  4e  4f 8e 24j 24i 8f  8h  8g
	     7P 24e 24f 12k 12j  6i 12m 12l 24g 24h 12n  4g  4h 8i 24w 24x 8j  8k  8l
	    11P 24h 24g 12e 12f  6h 12g 12h 24f 24e 12i  4g  4h 8i 24x 24w 8j  8l  8k
	    13P 24f 24e 12j 12k  6i 12l 12m 24h 24g 12n  4e  4f 8e 24j 24i 8f  8h  8g
	    17P 24g 24h 12f 12e  6h 12h 12g 24e 24f 12i  4e  4f 8e 24i 24j 8f  8g  8h
	    19P 24f 24e 12k 12j  6i 12m 12l 24h 24g 12n  4g  4h 8i 24x 24w 8j  8l  8k
	    23P 24g 24h 12e 12f  6h 12g 12h 24e 24f 12i  4g  4h 8i 24w 24x 8j  8k  8l
	
	X.1       1   1   1   1   1   1   1   1   1   1   1   1  1   1   1  1   1   1
	X.2      -1  -1   1   1   1   1   1  -1  -1  -1   1   1  1  -1  -1 -1  -1  -1
	X.3       1   1   1   1   1   1   1   1   1   1  -1  -1 -1  -1  -1 -1  -1  -1
	X.4      -1  -1   1   1   1   1   1  -1  -1  -1  -1  -1 -1   1   1  1   1   1
	X.5       B   B  /B  /B  /B  /B  /B  /B  /B  /B   1   1  1   1   1  1   1   1
	X.6      -B  -B  /B  /B  /B  /B  /B -/B -/B -/B   1   1  1  -1  -1 -1  -1  -1
	X.7      /B  /B   B   B   B   B   B   B   B   B   1   1  1   1   1  1   1   1
	X.8     -/B -/B   B   B   B   B   B  -B  -B  -B   1   1  1  -1  -1 -1  -1  -1
	X.9      -1  -1  -1  -1  -1  -1  -1  -1  -1  -1  -I  -I -I  -I  -I -I  -I  -I
	X.10      1   1  -1  -1  -1  -1  -1   1   1   1  -I  -I -I   I   I  I   I   I
	X.11     -B  -B -/B -/B -/B -/B -/B -/B -/B -/B  -I  -I -I  -I  -I -I  -I  -I
	X.12      B   B -/B -/B -/B -/B -/B  /B  /B  /B  -I  -I -I   I   I  I   I   I
	X.13    -/B -/B  -B  -B  -B  -B  -B  -B  -B  -B  -I  -I -I  -I  -I -I  -I  -I
	X.14     /B  /B  -B  -B  -B  -B  -B   B   B   B  -I  -I -I   I   I  I   I   I
	X.15      B   B  /B  /B  /B  /B  /B  /B  /B  /B  -1  -1 -1  -1  -1 -1  -1  -1
	X.16     -B  -B  /B  /B  /B  /B  /B -/B -/B -/B  -1  -1 -1   1   1  1   1   1
	X.17     /B  /B   B   B   B   B   B   B   B   B  -1  -1 -1  -1  -1 -1  -1  -1
	X.18    -/B -/B   B   B   B   B   B  -B  -B  -B  -1  -1 -1   1   1  1   1   1
	X.19     -1  -1  -1  -1  -1  -1  -1  -1  -1  -1   I   I  I   I   I  I   I   I
	X.20      1   1  -1  -1  -1  -1  -1   1   1   1   I   I  I  -I  -I -I  -I  -I
	X.21     -B  -B -/B -/B -/B -/B -/B -/B -/B -/B   I   I  I   I   I  I   I   I
	X.22      B   B -/B -/B -/B -/B -/B  /B  /B  /B   I   I  I  -I  -I -I  -I  -I
	X.23    -/B 	-/B  -B  -B  -B  -B  -B  -B  -B  -B   I   I  I   I   I  I   I   I
	X.24     /B  /B  -B  -B  -B  -B  -B   B   B   B   I   I  I  -I  -I -I  -I  -I
	X.25      .   .  -1  -1   2   2   2   .   .   .   .   .  .   1   1 -2  -2  -2
	X.26      .   .  -1  -1   2   2   2   .   .   .   .   .  .  -1  -1  2   2   2
	X.27      .   .  -B  -B  /C  /C  /C   .   .   .   .   .  .   1   1 -2  -2  -2
	X.28      .   .  -B  -B  /C  /C  /C   .   .   .   .   .  .  -1  -1  2   2   2
	X.29      .   . -/B -/B   C   C   C   .   .   .   .   .  .   1   1 -2  -2  -2
	X.30      .   . -/B -/B   C   C   C   .   .   .   .   .  .  -1  -1  2   2   2
	X.31      .   .   B   B -/C -/C -/C   .   .   .   .   .  .  -I  -I -G  -G  -G
	X.32      .   .   B   B -/C -/C -/C   .   .   .   .   .  .   I   I  G   G   G
	X.33      .   .   1   1  -2  -2  -2   .   .   .   .   .  .  -I  -I -G  -G  -G
	X.34      .   .   1   1  -2  -2  -2   .   .   .   .   .  .   I   I  G   G   G
	X.35      .   .  /B  /B  -C  -C  -C   .   .   .   .   .  .  -I  -I -G  -G  -G
	X.36      .   .  /B  /B  -C  -C  -C   .   .   .   .   .  .   I   I  G   G   G
	X.37      N  -N  /K -/K   .  /L -/L  /N -/N   .   O  -O  .   P  -P  .   Q  -Q
	X.38     -N   N  /K -/K   .  /L -/L -/N  /N   .   O  -O  .  -P   P  .  -Q   Q
	X.39     /N -/N  -K   K   .  -L   L   N  -N   .   O  -O  .   P  -P  .   Q  -Q
	X.40    -/N  /N  -K   K   .  -L   L  -N   N   .   O  -O  .  -P   P  .  -Q   Q
	X.41     -J   J  -I   I   .  -G   G  -J   J   .   O  -O  .   P  -P  .   Q  -Q
	X.42      J  -J  -I   I   .  -G   G   J  -J   .   O  -O  .  -P   P  .  -Q   Q
	X.43      N  -N  /K -/K   .  /L -/L  /N -/N   .  -O   O  .  -P   P  .  -Q   Q
	X.44     -N   N  /K -/K   .  /L -/L -/N  /N   .  -O   O  .   P  -P  .   Q  -Q
	X.45     /N -/N  -K   K   .  -L   L   N  -N   .  -O   O  .  -P   P  .  -Q   Q
	X.46    -/N  /N  -K   K   .  -L   L  -N   N   .  -O   O  .   P  -P  .   Q  -Q
	X.47     -J   J  -I   I   .  -G   G  -J   J   .  -O   O  .  -P   P  .  -Q   Q
	X.48      J  -J  -I   I   .  -G   G   J  -J   .  -O   O  .   P  -P  .   Q  -Q
	X.49     -N   N -/K  /K   . -/L  /L -/N  /N   .  /O -/O  . -/P  /P  . -/Q  /Q
	X.50      N  -N -/K  /K   . -/L  /L  /N -/N   .  /O -/O  .  /P -/P  .  /Q -/Q
	X.51    -/N  /N   K  -K   .   L  -L  -N   N   .  /O -/O  . -/P  /P  . -/Q  /Q
	X.52     /N -/N   K  -K   .   L  -L   N  -N   .  /O -/O  .  /P -/P  .  /Q -/Q
	X.53      J  -J   I  -I   .   G  -G   J  -J   .  /O -/O  . -/P  /P  . -/Q  /Q
	X.54     -J   J   I  -I   .   G  -G  -J   J   .  /O -/O  .  /P -/P  .  /Q -/Q
	X.55     -N   N -/K  /K   . -/L  /L -/N  /N   . -/O  /O  .  /P -/P  .  /Q -/Q
	X.56      N  -N -/K  /K   . -/L  /L  /N -/N   . -/O  /O  . -/P  /P  . -/Q  /Q
	X.57    -/N  /N   K  -K   .   L  -L  -N   N   . -/O  /O  .  /P -/P  .  /Q -/Q
	X.58     /N -/N   K  -K   .   L  -L   N  -N   . -/O  /O  . -/P  /P  . -/Q  /Q
	X.59      J  -J   I  -I   .   G  -G   J  -J   . -/O  /O  .  /P -/P  .  /Q -/Q
	X.60     -J   J   I  -I   .   G  -G  -J   J   . -/O  /O  . -/P  /P  . -/Q  /Q
	X.61      1   1   .   .  -1   3   3   1   1  -1  -1  -1  1   .   .  1  -3  -3
	X.62      1   1   .   .  -1   3   3   1   1  -1   1   1 -1   .   . -1   3   3
	X.63     -1  -1   .   .  -1   3   3  -1  -1   1  -1  -1  1   .   . -1   3   3
	X.64     -1  -1   .   .  -1   3   3  -1  -1   1   1   1 -1   .   .  1  -3  -3
	X.65     -1  -1   .   .   1  -3  -3  -1  -1   1   I   I -I   .   . -I   R   R
	X.66     -1  -1   .   .   1  -3  -3  -1  -1   1  -I  -I  I   .   .  I  -R  -R
	X.67      B   B   .   . -/B  /D  /D  /B  /B -/B  -1  -1  1   .   .  1  -3  -3
	X.68      B   B   .   . -/B  /D  /D  /B  /B -/B   1   1 -1   .   . -1   3   3
	X.69     -B  -B   .   .  /B -/D -/D -/B -/B  /B   I   I -I   .   . -I   R   R
	X.70     -B  -B   .   .  /B -/D -/D -/B -/B  /B  -I  -I  I   .   .  I  -R  -R
	X.71     /B  /B   .   .  -B   D   D   B   B  -B  -1  -1  1   .   .  1  -3  -3
	X.72     /B  /B   .   .  -B   D   D   B   B  -B   1   1 -1   .   . -1   3   3
	X.73    -/B -/B   .   .   B  -D  -D  -B  -B   B   I   I -I   .   . -I   R   R
	X.74    -/B -/B   .   .   B  -D  -D  -B  -B   B  -I  -I  I   .   .  I  -R  -R
	X.75      1   1   .   .   1  -3  -3   1   1  -1   I   I -I   .   .  I  -R  -R
	X.76      1   1   .   .   1  -3  -3   1   1  -1  -I  -I  I   .   . -I   R   R
	X.77     -B  -B   .   . -/B  /D  /D -/B -/B  /B  -1  -1  1   .   . -1   3   3
	X.78     -B  -B   .   . -/B  /D  /D -/B -/B  /B   1   1 -1   .   .  1  -3  -3
	X.79      B   B   .   .  /B -/D -/D  /B  /B -/B   I   I -I   .   .  I  -R  -R
	X.80      B   B   .   .  /B -/D -/D  /B  /B -/B  -I  -I  I   .   . -I   R   R
	X.81    -/B -/B   .   .  -B   D   D  -B  -B   B  -1  -1  1   .   . -1   3   3
	X.82    -/B -/B   .   .  -B   D   D  -B  -B   B   1   1 -1   .   .  1  -3  -3
	X.83     /B  /B   .   .   B  -D  -D   B   B  -B   I   I -I   .   .  I  -R  -R
	X.84     /B  /B   .   .   B  -D  -D   B   B  -B  -I  -I  I   .   . -I   R   R
	X.85      .   . -/K  /K   .  /M -/M   .   .   .   .   .  .  -P   P  .   S  -S
	X.86      .   . -/K  /K   .  /M -/M   .   .   .   .   .  .   P  -P  .  -S   S
	X.87      .   .   K  -K   .  -M   M   .   .   .   .   .  .  -P   P  .   S  -S
	X.88      .   .   K  -K   .  -M   M   .   .   .   .   .  .   P  -P  .  -S   S
	X.89      .   .   I  -I   .  -H   H   .   .   .   .   .  .  -P   P  .   S  -S
	X.90      .   .   I  -I   .  -H   H   .   .   .   .   .  .   P  -P  .  -S   S
	X.91      .   .  /K -/K   . -/M  /M   .   .   .   .   .  .  /P -/P  . -/S  /S
	X.92      .   .  /K -/K   . -/M  /M   .   .   .   .   .  . -/P  /P  .  /S -/S
	X.93      .   .  -K   K   .   M  -M   .   .   .   .   .  .  /P -/P  . -/S  /S
	X.94      .   .  -K   K   .   M  -M   .   .   .   .   .  . -/P  /P  .  /S -/S
	X.95      .   .  -I   I   .   H  -H   .   .   .   .   .  .  /P -/P  . -/S  /S
	X.96      .   .  -I   I   .   H  -H   .   .   .   .   .  . -/P  /P  .  /S -/S
	
	      2    4   5   5    3    3    5    6    6   5   5    4    5    6    6    3
	      3    1   1   1    2    2    1    2    2   1   1    1    1    2    2    2
	
	         24k 12o 12p  24l  24m  24n  24o  24p 12q 12r  24q  24r  24s  24t  24u
	     2P  12m  6i  6i  12k  12k  12l  12m  12m  6h  6h  12g  12h  12g  12g  12e
	     3P   8i  4g  4h   8k   8l   8j   8l   8k  4h  4g   8i   8j   8l   8k   8l
	     5P  24q 12r 12q  24u  24v  24r  24t  24s 12p 12o  24k  24n  24p  24o  24l
	     7P  24y 12t 12s 24aa  24z 24ab 24ad 24ac 12v 12u 24ae 24ah 24af 24ag 24ai
	    11P 24ae 12u 12v 24ai 24aj 24ah 24ag 24af 12s 12t  24y 24ab 24ac 24ad 24aa
	    13P  24k 12o 12p  24m  24l  24n  24p  24o 12q 12r  24q  24r  24t  24s  24v
	    17P  24q 12r 12q  24v  24u  24r  24s  24t 12p 12o  24k  24n  24o  24p  24m
	    19P  24y 12t 12s  24z 24aa 24ab 24ac 24ad 12v 12u 24ae 24ah 24ag 24af 24aj
	    23P 24ae 12u 12v 24aj 24ai 24ah 24af 24ag 12s 12t  24y 24ab 24ad 24ac  24z
	
	X.1        1   1   1    1    1    1    1    1   1   1    1    1    1    1    1
	X.2        1   1   1   -1   -1   -1   -1   -1   1   1    1   -1   -1   -1   -1
	X.3       -1  -1  -1   -1   -1   -1   -1   -1  -1  -1   -1   -1   -1   -1   -1
	X.4       -1  -1  -1    1    1    1    1    1  -1  -1   -1    1    1    1    1
	X.5        B   B   B    B    B    B    B    B  /B  /B   /B   /B   /B   /B   /B
	X.6        B   B   B   -B   -B   -B   -B   -B  /B  /B   /B  -/B  -/B  -/B  -/B
	X.7       /B  /B  /B   /B   /B   /B   /B   /B   B   B    B    B    B    B    B
	X.8       /B  /B  /B  -/B  -/B  -/B  -/B  -/B   B   B    B   -B   -B   -B   -B
	X.9       -I  -I  -I   -I   -I   -I   -I   -I  -I  -I   -I   -I   -I   -I   -I
	X.10      -I  -I  -I    I    I    I    I    I  -I  -I   -I    I    I    I    I
	X.11      -K  -K  -K   -K   -K   -K   -K   -K  /K  /K   /K   /K   /K   /K   /K
	X.12      -K  -K  -K    K    K    K    K    K  /K  /K   /K  -/K  -/K  -/K  -/K
	X.13      /K  /K  /K   /K   /K   /K   /K   /K  -K  -K   -K   -K   -K   -K   -K
	X.14      /K  /K  /K  -/K  -/K  -/K  -/K  -/K  -K  -K   -K    K    K    K    K
	X.15      -B  -B  -B   -B   -B   -B   -B   -B -/B -/B  -/B  -/B  -/B  -/B  -/B
	X.16      -B  -B  -B    B    B    B    B    B -/B -/B  -/B   /B   /B   /B   /B
	X.17     -/B -/B -/B  -/B  -/B  -/B  -/B  -/B  -B  -B   -B   -B   -B   -B   -B
	X.18     -/B -/B -/B   /B   /B   /B   /B   /B  -B  -B   -B    B    B    B    B
	X.19       I   I   I    I    I    I    I    I   I   I    I    I    I    I    I
	X.20       I   I   I   -I   -I   -I   -I   -I   I   I    I   -I   -I   -I   -I
	X.21       K   K   K    K    K    K    K    K -/K -/K  -/K  -/K  -/K  -/K  -/K
	X.22       K   K   K   -K   -K   -K   -K   -K -/K -/K  -/K   /K   /K   /K   /K
	X.23     -/K -/K -/K  -/K  -/K  -/K  -/K  -/K   K   K    K    K    K    K    K
	X.24     -/K -/K -/K   /K   /K   /K   /K   /K   K   K    K   -K   -K   -K   -K
	X.25       .   .   .    1    1   -2   -2   -2   .   .    .   -2   -2   -2    1
	X.26       .   .   .   -1   -1    2    2    2   .   .    .    2    2    2   -1
	X.27       .   .   .   /B   /B   -C   -C   -C   .   .    .  -/C  -/C  -/C    B
	X.28       .   .   .  -/B  -/B    C    C    C   .   .    .   /C   /C   /C   -B
	X.29       .   .   .    B    B  -/C  -/C  -/C   .   .    .   -C   -C   -C   /B
	X.30       .   .   .   -B   -B   /C   /C   /C   .   .    .    C    C    C  -/B
	X.31       .  	 .   .   /K   /K   /L   /L   /L   .   .    .   -L   -L   -L   -K
	X.32       .   .   .  -/K  -/K  -/L  -/L  -/L   .   .    .    L    L    L    K
	X.33       .   .   .   -I   -I   -G   -G   -G   .   .    .   -G   -G   -G   -I
	X.34       .   .   .    I    I    G    G    G   .   .    .    G    G    G    I
	X.35       .   .   .   -K   -K   -L   -L   -L   .   .    .   /L   /L   /L   /K
	X.36       .   .   .    K    K    L    L    L   .   .    .  -/L  -/L  -/L  -/K
	X.37       .   T  -T    V   -V    .    X   -X  -U   U    .    .    Y   -Y   -W
	X.38       .   T  -T   -V    V    .   -X    X  -U   U    .    .   -Y    Y    W
	X.39       .   U  -U    W   -W    .    Y   -Y  -T   T    .    .    X   -X   -V
	X.40       .   U  -U   -W    W    .   -Y    Y  -T   T    .    .   -X    X    V
	X.41       .   O  -O   -P    P    .    Q   -Q  -O   O    .    .    Q   -Q    P
	X.42       .   O  -O    P   -P    .   -Q    Q  -O   O    .    .   -Q    Q   -P
	X.43       .  -T   T   -V    V    .   -X    X   U  -U    .    .   -Y    Y    W
	X.44       .  -T   T    V   -V    .    X   -X   U  -U    .    .    Y   -Y   -W
	X.45       .  -U   U   -W    W    .   -Y    Y   T  -T    .    .   -X    X    V
	X.46       .  -U   U    W   -W    .    Y   -Y   T  -T    .    .    X   -X   -V
	X.47       .  -O   O    P   -P    .   -Q    Q   O  -O    .    .   -Q    Q   -P
	X.48       .  -O   O   -P    P    .    Q   -Q   O  -O    .    .    Q   -Q    P
	X.49       .  /U -/U  -/W   /W    .  -/Y   /Y -/T  /T    .    .  -/X   /X   /V
	X.50       .  /U -/U   /W  -/W    .   /Y  -/Y -/T  /T    .    .   /X  -/X  -/V
	X.51       .  /T -/T  -/V   /V    .  -/X   /X -/U  /U    .    .  -/Y   /Y   /W
	X.52       .  /T -/T   /V  -/V    .   /X  -/X -/U  /U    .    .   /Y  -/Y  -/W
	X.53       .  /O -/O   /P  -/P    .  -/Q   /Q -/O  /O    .    .  -/Q   /Q  -/P
	X.54       .  /O -/O  -/P   /P    .   /Q  -/Q -/O  /O    .    .   /Q  -/Q   /P
	X.55       . -/U  /U   /W  -/W    .   /Y  -/Y  /T -/T    .    .   /X  -/X  -/V
	X.56       . -/U  /U  -/W   /W    .  -/Y   /Y  /T -/T    .    .  -/X   /X   /V
	X.57       . -/T  /T   /V  -/V    .   /X  -/X  /U -/U    .    .   /Y  -/Y  -/W
	X.58       . -/T  /T  -/V   /V    .  -/X   /X  /U -/U    .    .  -/Y   /Y   /W
	X.59       . -/O  /O  -/P   /P    .   /Q  -/Q  /O -/O    .    .   /Q  -/Q   /P
	X.60       . -/O  /O   /P  -/P    .  -/Q   /Q  /O -/O    .    .  -/Q   /Q  -/P
	X.61       1  -1  -1    .    .    1   -3   -3  -1  -1    1    1   -3   -3    .
	X.62      -1   1   1    .    .   -1    3    3   1   1   -1   -1    3    3    .
	X.63       1  -1  -1    .    .   -1    3    3  -1  -1    1   -1    3    3    .
	X.64      -1   1   1    .    .    1   -3   -3   1   1   -1    1   -3   -3    .
	X.65      -I   I   I    .    .   -I    R    R   I   I   -I   -I    R    R    .
	X.66       I  -I  -I    .    .    I   -R   -R  -I  -I    I    I   -R   -R    .
	X.67       B  -B  -B    .    .    B   -D   -D -/B -/B   /B   /B  -/D  -/D    .
	X.68      -B   B   B    .    .   -B    D    D  /B  /B  -/B  -/B   /D   /D    .
	X.69      -K   K   K    .    .   -K    Z    Z -/K -/K   /K   /K  -/Z  -/Z    .
	X.70       K  -K  -K    .    .    K   -Z   -Z  /K  /K  -/K  -/K   /Z   /Z    .
	X.71      /B -/B -/B    .    .   /B  -/D  -/D  -B  -B    B    B   -D   -D    .
	X.72     -/B  /B  /B    .    .  -/B   /D   /D   B   B   -B   -B    D    D    .
	X.73      /K -/K -/K    .    .   /K  -/Z  -/Z   K   K   -K   -K    Z    Z    .
	X.74     -/K  /K  /K    .    .  -/K   /Z   /Z  -K  -K    K    K   -Z   -Z    .
	X.75      -I   I   I    .    .    I   -R   -R   I   I   -I    I   -R   -R    .
	X.76       I  -I  -I    .    .   -I    R    R  -I  -I    I   -I    R    R    .
	X.77       B  -B  -B    .    .   -B    D    D -/B -/B   /B  -/B   /D   /D    .
	X.78      -B   B   B    .    .    B   -D   -D  /B  /B  -/B   /B  -/D  -/D    .
	X.79      -K   K   K    .    .    K   -Z   -Z -/K -/K   /K  -/K   /Z   /Z    .
	X.80       K  -K  -K    .    .   -K    Z    Z  /K  /K  -/K   /K  -/Z  -/Z    .
	X.81      /B -/B -/B    .    .  -/B   /D   /D  -B  -B    B   -B    D    D    .
	X.82     -/B  /B  /B    .    .   /B  -/D  -/D   B   B   -B    B   -D   -D    .
	X.83      /K -/K -/K    .    .  -/K   /Z   /Z   K   K   -K    K   -Z   -Z    .
	X.84     -/K  /K  /K    .    .   /K  -/Z  -/Z  -K  -K    K   -K    Z    Z    .
	X.85       .   .   .   -V    V    .   AA  -AA   .   .    .    .   AB  -AB    W
	X.86       .   .   .    V   -V    .  -AA   AA   .   .    .    .  -AB   AB   -W
	X.87       .   .   .   -W    W    .   AB  -AB   .   .    .    .   AA  -AA    V
	X.88       .   .   .    W   -W    .  -AB   AB   .   .    .    .  -AA   AA   -V
	X.89       .   .   .    P   -P    .    S   -S   .   .    .    .    S   -S   -P
	X.90       .   .   .   -P    P    .   -S    S   .   .    .    .   -S    S    P
	X.91       .   .   .   /W  -/W    . -/AB  /AB   .   .    .    . -/AA  /AA  -/V
	X.92       .   .   .  -/W   /W    .  /AB -/AB   .   .    .    .  /AA -/AA   /V
	X.93       .   .   .   /V  -/V    . -/AA  /AA   .   .    .    . -/AB  /AB  -/W
	X.94       .   .   .  -/V   /V    .  /AA -/AA   .   .    .    .  /AB -/AB   /W
	X.95       .   .   .  -/P   /P    .  -/S   /S   .   .    .    .  -/S   /S   /P
	X.96       .   .   .   /P  -/P    .   /S  -/S   .   .    .    .   /S  -/S  -/P
	
	      2    3   5   5  4   3   3  5   6   6   5   5    4    3    3    5    6
	      3    2   1   1  1   2   2  1   2   2   1   1    1    2    2    1    2
	
	         24v  4g  4h 8i 24w 24x 8j  8k  8l 12s 12t  24y  24z 24aa 24ab 24ac
	     2P  12e  2c  2c 4c 12d 12d 4b  4c  4c  6i  6i  12l  12j  12j  12m  12l
	     3P   8k  4e  4f 8e  8h  8g 8f  8h  8g  4f  4e   8e   8h   8g   8f   8g
	     5P  24m  4g  4h 8i 24x 24w 8j  8l  8k 12v 12u 24ae 24aj 24ai 24ah 24af
	     7P 24aj  4e  4f 8e 24i 24j 8f  8g  8h 12p 12o  24k  24m  24l  24n  24p
	    11P  24z  4e  4f 8e 24j 24i 8f  8h  8g 12q 12r  24q  24v  24u  24r  24s
	    13P  24u  4g  4h 8i 24x 24w 8j  8l  8k 12s 12t  24y 24aa  24z 24ab 24ad
	    17P  24l  4g  4h 8i 24w 24x 8j  8k  8l 12v 12u 24ae 24ai 24aj 24ah 24ag
	    19P 24ai  4e  4f 8e 24j 24i 8f  8h  8g 12p 12o  24k  24l  24m  24n  24o
	    23P 24aa  4e  4f 8e 24i 24j 8f  8g  8h 12q 12r  24q  24u  24v  24r  24t
	
	X.1        1   1   1  1   1   1  1   1   1   1   1    1    1    1    1    1
	X.2       -1   1   1  1  -1  -1 -1  -1  -1   1   1    1   -1   -1   -1   -1
	X.3       -1  -1  -1 -1  -1  -1 -1  -1  -1  -1  -1   -1   -1   -1   -1   -1
	X.4        1  -1  -1 -1   1   1  1   1   1  -1  -1   -1    1    1    1    1
	X.5       /B   1   1  1   1   1  1   1   1   B   B    B    B    B    B    B
	X.6      -/B   1   1  1  -1  -1 -1  -1  -1   B   B    B   -B   -B   -B   -B
	X.7        B   1   1  1   1   1  1   1   1  /B  /B   /B   /B   /B   /B   /B
	X.8       -B   1   1  1  -1  -1 -1  -1  -1  /B  /B   /B  -/B  -/B  -/B  -/B
	X.9       -I   I   I  I   I   I  I   I   I   I   I    I    I    I    I    I
	X.10       I   I   I  I  -I  -I -I  -I  -I   I   I    I   -I   -I   -I   -I
	X.11      /K   I   I  I   I   I  I   I   I   K   K    K    K    K    K    K
	X.12     -/K   I   I  I  -I  -I -I  -I  -I   K   K    K   -K   -K   -K   -K
	X.13      -K   I   I  I   I   I  I   I   I -/K -/K  -/K  -/K  -/K  -/K  -/K
	X.14       K   I   I  I  -I  -I -I  -I  -I -/K -/K  -/K   /K   /K   /K   /K
	X.15     -/B  -1  -1 -1  -1  -1 -1  -1  -1  -B  -B   -B   -B   -B   -B   -B
	X.16      /B  -1  -1 -1   1   1  1   1   1  -B  -B   -B    B    B    B    B
	X.17      -B  -1  -1 -1  -1  -1 -1  -1  -1 -/B -/B  -/B  -/B  -/B  -/B  -/B
	X.18       B  -1  -1 -1   1   1  1   1   1 -/B -/B  -/B   /B   /B   /B   /B
	X.19       I  -I  -I -I  -I  -I -I  -I  -I  -I  -I   -I   -I   -I   -I   -I
	X.20      -I  -I  -I -I   I   I  I   I   I  -I  -I   -I    I    I    I    I
	X.21     -/K  -I  -I -I  -I  -I -I  -I  -I  -K  -K   -K   -K   -K   -K   -K
	X.22      /K  -I  -I -I   I   I  I   I   I  -K  -K   -K    K    K    K    K
	X.23       K  -I  -I -I  -I  -I -I  -I  -I  /K  /K   /K   /K   /K   /K   /K
	X.24      -K  -I  -I -I   I   I  I   I   I  /K  /K   /K  -/K  -/K  -/K  -/K
	X.25       1   .   .  .   1   1 -2  -2  -2   .   .    .    1    1   -2   -2
	X.26      -1   .   .  .  -1  -1  2   2   2   .   .    .   -1   -1    2    2
	X.27       B   .   .  .   1   1 -2  -2  -2   .   .    .   /B   /B   -C   -C
	X.28      -B   .   .  .  -1  -1  2   2   2   .   .    .  -/B  -/B    C    C
	X.29      /B   .   .  .   1   1 -2  -2  -2   .   .    .    B    B  -/C  -/C
	X.30     -/B   .   .  .  -1  -1  2   2   2   .   .    .   -B   -B   /C   /C
	X.31      -K   .   .  .   I   I  G   G   G   .   .    .  -/K  -/K  -/L  -/L
	X.32       K   .   .  .  -I  -I -G  -G  -G   .   .    .   /K   /K   /L   /L
	X.33      -I   .   .  .   I   I  G   G   G   .   .    .    I    I    G    G
	X.34       I   .   .  .  -I  -I -G  -G  -G   .   .    .   -I   -I   -G   -G
	X.35      /K   .   .  .   I   I  G   G   G   .   .    .    K    K    L    L
	X.36     -/K   .   .  .  -I  -I -G  -G  -G   .   .    .   -K   -K   -L   -L
	X.37       W  /O -/O  .  /P -/P  .  /Q -/Q -/U  /U    .  -/W   /W    .  -/Y
	X.38      -W  /O -/O  . -/P  /P  . -/Q  /Q -/U  /U    .   /W  -/W    .   /Y
	X.39       V  /O -/O  .  /P -/P  .  /Q -/Q -/T  /T    .  -/V   /V    .  -/X
	X.40      -V  /O -/O  . -/P  /P  . -/Q  /Q -/T  /T    .   /V  -/V    .   /X
	X.41      -P  /O -/O  .  /P -/P  .  /Q -/Q -/O  /O    .   /P  -/P    .  -/Q
	X.42       P  /O -/O  . -/P  /P  . -/Q  /Q -/O  /O    .  -/P   /P    .   /Q
	X.43      -W -/O  /O  . -/P  /P  . -/Q  /Q  /U -/U    .   /W  -/W    .   /Y
	X.44       W -/O  /O  .  /P -/P  .  /Q -/Q  /U -/U    .  -/W   /W    .  -/Y
	X.45      -V -/O  /O  . -/P  /P  . -/Q  /Q  /T -/T    .   /V  -/V    .   /X
	X.46       V -/O  /O  .  /P -/P  .  /Q -/Q  /T -/T    .  -/V   /V    .  -/X
	X.47       P -/O  /O  . -/P  /P  . -/Q  /Q  /O -/O    .  -/P   /P    .   /Q
	X.48      -P -/O  /O  .  /P -/P  .  /Q -/Q  /O -/O    .   /P  -/P    .  -/Q
	X.49     -/V   O  -O  .  -P   P  .  -Q   Q  -T   T    .    V   -V    .    X
	X.50      /V   O  -O  .   P  -P  .   Q  -Q  -T   T    .   -V    V    .   -X
	X.51     -/W   O  -O  .  -P   P  .  -Q   Q  -U   U    .    W   -W    .    Y
	X.52      /W   O  -O  .   P  -P  .   Q  -Q  -U   U    .   -W    W    .   -Y
	X.53      /P   O  -O  .  -P   P  .  -Q   Q  -O   O    .   -P    P    .    Q
	X.54     -/P   O  -O  .   P  -P  .   Q  -Q  -O   O    .    P   -P    .   -Q
	X.55      /V  -O   O  .   P  -P  .   Q  -Q   T  -T    .   -V    V    .   -X
	X.56     -/V  -O   O  .  -P   P  .  -Q   Q   T  -T    .    V   -V    .    X
	X.57      /W  -O   O  .   P  -P  .   Q  -Q   U  -U    .   -W    W    .   -Y
	X.58     -/W  -O   O  .  -P   P  .  -Q   Q   U  -U    .    W   -W    .    Y
	X.59     -/P  -O   O  .   P  -P  .   Q  -Q   O  -O    .    P   -P    .   -Q
	X.60      /P  -O   O  .  -P   P  .  -Q   Q   O  -O    .   -P    P    .    Q
	X.61       .  -1  -1  1   .   .  1  -3  -3  -1  -1    1    .    .    1   -3
	X.62       .   1   1 -1   .   . -1   3   3   1   1   -1    .    .   -1    3
	X.63       .  -1  -1  1   .   . -1   3   3  -1  -1    1    .    .   -1    3
	X.64       .   1   1 -1   .   .  1  -3  -3   1   1   -1    .    .    1   -3
	X.65       .  -I  -I  I   .   .  I  -R  -R  -I  -I    I    .    .    I   -R
	X.66       .   I   I -I   .   . -I   R   R   I   I   -I    .    .   -I    R
	X.67       .  -1  -1  1   .   .  1  -3  -3  -B  -B    B    .    .    B   -D
	X.68       .   1   1 -1   .   . -1   3   3   B   B   -B    .    .   -B    D
	X.69       .  -I  -I  I   .   .  I  -R  -R  -K  -K    K    .    .    K   -Z
	X.70       .   I   I -I   .   . -I   R   R   K   K   -K    .    .   -K    Z
	X.71       .  -1  -1  1   .   .  1  -3  -3 -/B -/B   /B    .    .   /B  -/D
	X.72       .   1   1 -1   .   . -1   3   3  /B  /B  -/B    .    .  -/B   /D
	X.73       .  -I  -I  I   .   .  I  -R  -R  /K  /K  -/K    .    .  -/K   /Z
	X.74       .   I   I -I   .   . -I   R   R -/K -/K   /K    .    .   /K  -/Z
	X.75       .  -I  -I  I   .   . -I   R   R  -I  -I    I    .    .   -I    R
	X.76       .   I   I -I   .   .  I  -R  -R   I   I   -I    .    .    I   -R
	X.77       .  -1  -1  1   .   . -1   3   3  -B  -B    B    .    .   -B    D
	X.78       .   1   1 -1   .   .  1  -3  -3   B   B   -B    .    .    B   -D
	X.79       .  -I  -I  I   .   . -I   R   R  -K  -K    K    .    .   -K    Z
	X.80       .   I   I -I   .   .  I  -R  -R   K   K   -K    .    .    K   -Z
	X.81       .  -1  -1  1   .   . -1   3   3 -/B -/B   /B    .    .  -/B   /D
	X.82       .   1   1 -1   .   .  1  -3  -3  /B  /B  -/B    .    .   /B  -/D
	X.83       .  -I  -I  I   .   . -I   R   R  /K  /K  -/K    .    .   /K  -/Z
	X.84       .   I   I -I   .   .  I  -R  -R -/K -/K   /K    .    .  -/K   /Z
	X.85      -W   .   .  . -/P  /P  .  /S -/S   .   .    .   /W  -/W    . -/AB
	X.86       W   .   .  .  /P -/P  . -/S  /S   .   .    .  -/W   /W    .  /AB
	X.87      -V   .   .  . -/P  /P  .  /S -/S   .   .    .   /V  -/V    . -/AA
	X.88       V   .   .  .  /P -/P  . -/S  /S   .   .    .  -/V   /V    .  /AA
	X.89       P   .   .  . -/P  /P  .  /S -/S   .   .    .  -/P   /P    .  -/S
	X.90      -P   .   .  .  /P -/P  . -/S  /S   .   .    .   /P  -/P    .   /S
	X.91      /V   .   .  .   P  -P  .  -S   S   .   .    .   -V    V    .   AA
	X.92     -/V   .   .  .  -P   P  .   S  -S   .   .    .    V   -V    .  -AA
	X.93      /W   .   .  .   P  -P  .  -S   S   .   .    .   -W    W    .   AB
	X.94     -/W   .   .  .  -P   P  .   S  -S   .   .    .    W   -W    .  -AB
	X.95     -/P   .   .  .   P  -P  .  -S   S   .   .    .    P   -P    .    S
	X.96      /P   .   .  .  -P   P  .   S  -S   .   .    .   -P    P    .   -S
	
	      2    6    4   5   5    6    6    5    3    3
	      3    2    1   1   1    2    2    1    2    2
	
	        24ad 24ae 12u 12v 24af 24ag 24ah 24ai 24aj
	     2P  12l  12h  6h  6h  12h  12h  12g  12f  12f
	     3P   8h   8e  4e  4f   8h   8g   8f   8h   8g
	     5P 24ag  24y 12t 12s 24ac 24ad 24ab 24aa  24z
	     7P  24o  24q 12r 12q  24s  24t  24r  24u  24v
	    11P  24t  24k 12o 12p  24p  24o  24n  24l  24m
	    13P 24a	c 24ae 12u 12v 24ag 24af 24ah 24aj 24ai
	    17P 24af  24y 12t 12s 24ad 24ac 24ab  24z 24aa
	    19P  24p  24q 12r 12q  24t  24s  24r  24v  24u
	    23P  24s  24k 12o 12p  24o  24p  24n  24m  24l
	
	X.1        1    1   1   1    1    1    1    1    1
	X.2       -1    1   1   1   -1   -1   -1   -1   -1
	X.3       -1   -1  -1  -1   -1   -1   -1   -1   -1
	X.4        1   -1  -1  -1    1    1    1    1    1
	X.5        B   /B  /B  /B   /B   /B   /B   /B   /B
	X.6       -B   /B  /B  /B  -/B  -/B  -/B  -/B  -/B
	X.7       /B    B   B   B    B    B    B    B    B
	X.8      -/B    B   B   B   -B   -B   -B   -B   -B
	X.9        I    I   I   I    I    I    I    I    I
	X.10      -I    I   I   I   -I   -I   -I   -I   -I
	X.11       K  -/K -/K -/K  -/K  -/K  -/K  -/K  -/K
	X.12      -K  -/K -/K -/K   /K   /K   /K   /K   /K
	X.13     -/K    K   K   K    K    K    K    K    K
	X.14      /K    K   K   K   -K   -K   -K   -K   -K
	X.15      -B  -/B -/B -/B  -/B  -/B  -/B  -/B  -/B
	X.16       B  -/B -/B -/B   /B   /B   /B   /B   /B
	X.17     -/B   -B  -B  -B   -B   -B   -B   -B   -B
	X.18      /B   -B  -B  -B    B    B    B    B    B
	X.19      -I   -I  -I  -I   -I   -I   -I   -I   -I
	X.20       I   -I  -I  -I    I    I    I    I    I
	X.21      -K   /K  /K  /K   /K   /K   /K   /K   /K
	X.22       K   /K  /K  /K  -/K  -/K  -/K  -/K  -/K
	X.23      /K   -K  -K  -K   -K   -K   -K   -K   -K
	X.24     -/K   -K  -K  -K    K    K    K    K    K
	X.25      -2    .   .   .   -2   -2   -2    1    1
	X.26       2    .   .   .    2    2    2   -1   -1
	X.27      -C    .   .   .  -/C  -/C  -/C    B    B
	X.28       C    .   .   .   /C   /C   /C   -B   -B
	X.29     -/C    .   .   .   -C   -C   -C   /B   /B
	X.30      /C    .   .   .    C    C    C  -/B  -/B
	X.31     -/L    .   .   .    L    L    L    K    K
	X.32      /L    .   .   .   -L   -L   -L   -K   -K
	X.33       G    .   .   .    G    G    G    I    I
	X.34      -G    .   .   .   -G   -G   -G   -I   -I
	X.35       L    .   .   .  -/L  -/L  -/L  -/K  -/K
	X.36      -L    .   .   .   /L   /L   /L   /K   /K
	X.37      /Y    .  /T -/T   /X  -/X    .  -/V   /V
	X.38     -/Y    .  /T -/T  -/X   /X    .   /V  -/V
	X.39      /X    .  /U -/U   /Y  -/Y    .  -/W   /W
	X.40     -/X    .  /U -/U  -/Y   /Y    .   /W  -/W
	X.41      /Q    .  /O -/O   /Q  -/Q    .   /P  -/P
	X.42     -/Q    .  /O -/O  -/Q   /Q    .  -/P   /P
	X.43     -/Y    . -/T  /T  -/X   /X    .   /V  -/V
	X.44      /Y    . -/T  /T   /X  -/X    .  -/V   /V
	X.45     -/X    . -/U  /U  -/Y   /Y    .   /W  -/W
	X.46      /X    . -/U  /U   /Y  -/Y    .  -/W   /W
	X.47     -/Q    . -/O  /O  -/Q   /Q    .  -/P   /P
	X.48      /Q    . -/O  /O   /Q  -/Q    .   /P  -/P
	X.49      -X    .   U  -U   -Y    Y    .    W   -W
	X.50       X    .   U  -U    Y   -Y    .   -W    W
	X.51      -Y    .   T  -T   -X    X    .    V   -V
	X.52       Y    .   T  -T    X   -X    .   -V    V
	X.53      -Q    .   O  -O   -Q    Q    .   -P    P
	X.54       Q    .   O  -O    Q   -Q    .    P   -P
	X.55       X    .  -U   U    Y   -Y    .   -W    W
	X.56      -X    .  -U   U   -Y    Y    .    W   -W
	X.57       Y    .  -T   T    X   -X    .   -V    V
	X.58      -Y    .  -T   T   -X    X    .    V   -V
	X.59       Q    .  -O   O    Q   -Q    .    P   -P
	X.60      -Q    .  -O   O   -Q    Q    .   -P    P
	X.61      -3    1  -1  -1   -3   -3    1    .    .
	X.62       3   -1   1   1    3    3   -1    .    .
	X.63       3    1  -1  -1    3    3   -1    .    .
	X.64      -3   -1   1   1   -3   -3    1    .    .
	X.65      -R    I  -I  -I   -R   -R    I    .    .
	X.66       R   -I   I   I    R    R   -I    .    .
	X.67      -D   /B -/B -/B  -/D  -/D   /B    .    .
	X.68       D  -/B  /B  /B   /D   /D  -/B    .    .
	X.69      -Z  -/K  /K  /K   /Z   /Z  -/K    .    .
	X.70       Z   /K -/K -/K  -/Z  -/Z   /K    .    .
	X.71     -/D    B  -B  -B   -D   -D    B    .    .
	X.72      /D   -B   B   B    D    D   -B    .    .
	X.73      /Z    K  -K  -K   -Z   -Z    K    .    .
	X.74     -/Z   -K   K   K    Z    Z   -K    .    .
	X.75       R    I  -I  -I    R    R   -I    .    .
	X.76      -R   -I   I   I   -R   -R    I    .    .
	X.77       D   /B -/B -/B   /D   /D  -/B    .    .
	X.78      -D  -/B  /B  /B  -/D  -/D   /B    .    .
	X.79       Z  -/K  /K  /K  -/Z  -/Z   /K    .    .
	X.80      -Z   /K -/K -/K   /Z   /Z  -/K    .    .
	X.81      /D    B  -B  -B    D    D   -B    .    .
	X.82     -/D   -B   B   B   -D   -D    B    .    .
	X.83     -/Z    K  -K  -K    Z    Z   -K    .    .
	X.84      /Z   -K   K   K   -Z   -Z    K    .    .
	X.85     /AB    .   .   .  /AA -/AA    .   /V  -/V
	X.86    -/AB    .   .   . -/AA  /AA    .  -/V   /V
	X.87     /AA    .   .   .  /AB -/AB    .   /W  -/W
	X.88    -/AA    .   .   . -/AB  /AB    .  -/W   /W
	X.89      /S    .   .   .   /S  -/S    .  -/P   /P
	X.90     -/S    .   .   .  -/S   /S    .   /P  -/P
	X.91     -AA    .   .   .  -AB   AB    .   -W    W
	X.92      AA    .   .   .   AB  -AB    .    W   -W
	X.93     -AB    .   .   .  -AA   AA    .   -V    V
	X.94      AB    .   .   .   AA  -AA    .    V   -V
	X.95      -S    .   .   .   -S    S    .    P   -P
	X.96       S    .   .   .    S   -S    .   -P    P
	
	A = -E(8)-E(8)^3
	  = -ER(-2) = -i2
	B = E(3)
	  = (-1+ER(-3))/2 = b3
	C = 2*E(3)^2
	  = -1-ER(-3) = -1-i3
	D = 3*E(3)
	  = (-3+3*ER(-3))/2 = 3b3
	E = -4*E(3)
	  = 2-2*ER(-3) = -4b3
	F = -E(24)^11-E(24)^17
	G = 2*E(4)
	  = 2*ER(-1) = 2i
	H = 4*E(4)
	  = 4*ER(-1) = 4i
	I = -E(4)
	  = -ER(-1) = -i
	J = E(8)-E(8)^3
	  = ER(2) = r2
	K = -E(12)^7
	L = 2*E(12)^7
	M = 4*E(12)^7
	N = -E(24)^11+E(24)^17
	O = 1-E(4)	
	  = 1-ER(-1) = 1-i
	P = E(8)
	Q = -2*E(8)
	R = -3*E(4)
	  = -3*ER(-1) = -3i
	S = -4*E(8)
	T = E(12)^4-E(12)^7
	U = E(12)^8-E(12)^11
	V = -E(24)^11
	W = -E(24)^19
	X = -2*E(24)^11
	Y = -2*E(24)^19
	Z = -3*E(12)^7
	AA = -4*E(24)^11
	AB = -4*E(24)^19
	
	gap> quit;