1. | x,y,z mx,my,mz
|
|
1 0 0 0
0 1 0 0
0 0 1 0
|
|
|
| 1 +1 | {1|0,0,0} |
2d. | -x+1/2,-y,z+1/2 -mx,-my,mz
|
|
-1 0 0 1/2
0 -1 0 0
0 0 1 1/2
|
|
|
| 2 (0,0,1/2) 1/4,0,z +1 | {2z|1/2,0,1/2} |
3d. | -x,y+1/2,-z+1/2 -mx,my,-mz
|
|
-1 0 0 0
0 1 0 1/2
0 0 -1 1/2
|
|
|
| 2 (0,1/2,0) 0,y,1/4 +1 | {2y|0,1/2,1/2} |
4d. | x+1/2,-y+1/2,-z mx,-my,-mz
|
|
1 0 0 1/2
0 -1 0 1/2
0 0 -1 0
|
|
|
| 2 (1/2,0,0) x,1/4,0 +1 | {2x|1/2,1/2,0} |
5. | z,x,y mz,mx,my
|
|
0 0 1 0
1 0 0 0
0 1 0 0
|
|
|
| 3+ x,x,x +1 | {3xyz|0,0,0} |
6d. | z+1/2,-x+1/2,-y mz,-mx,-my
|
|
0 0 1 1/2
-1 0 0 1/2
0 -1 0 0
|
|
|
| 3+ -x+1/2,x,-x +1 | {3x-yz-1|1/2,1/2,0} |
7d. | -z+1/2,-x,y+1/2 -mz,-mx,my
|
|
0 0 -1 1/2
-1 0 0 0
0 1 0 1/2
|
|
|
| 3+ x+1/2,-x,-x +1 | {3-xyz-1|1/2,0,1/2} |
8d. | -z,x+1/2,-y+1/2 -mz,mx,-my
|
|
0 0 -1 0
1 0 0 1/2
0 -1 0 1/2
|
|
|
| 3+ -x,-x+1/2,x +1 | {3xy-z-1|0,1/2,1/2} |
9. | y,z,x my,mz,mx
|
|
0 1 0 0
0 0 1 0
1 0 0 0
|
|
|
| 3- x,x,x +1 | {3xyz-1|0,0,0} |
10d. | -y,z+1/2,-x+1/2 -my,mz,-mx
|
|
0 -1 0 0
0 0 1 1/2
-1 0 0 1/2
|
|
|
| 3- (-1/3,1/3,1/3) x+1/6,-x+1/6,-x +1 | {3-xyz|0,1/2,1/2} |
11d. | y+1/2,-z+1/2,-x my,-mz,-mx
|
|
0 1 0 1/2
0 0 -1 1/2
-1 0 0 0
|
|
|
| 3- (1/3,1/3,-1/3) -x+1/3,-x+1/6,x +1 | {3xy-z|1/2,1/2,0} |
12d. | -y+1/2,-z,x+1/2 -my,-mz,mx
|
|
0 -1 0 1/2
0 0 -1 0
1 0 0 1/2
|
|
|
| 3- (1/3,-1/3,1/3) -x-1/6,x+1/3,-x +1 | {3x-yz|1/2,0,1/2} |
13. | x+1/2,y+1/2,z+1/2 mx,my,mz
|
|
1 0 0 1/2
0 1 0 1/2
0 0 1 1/2
|
|
|
| t (1/2,1/2,1/2) +1 | {1|1/2,1/2,1/2} |
14. | -x,-y+1/2,z -mx,-my,mz
|
|
-1 0 0 0
0 -1 0 1/2
0 0 1 0
|
|
|
| 2 0,1/4,z +1 | {2z|0,1/2,0} |
15. | -x+1/2,y,-z -mx,my,-mz
|
|
-1 0 0 1/2
0 1 0 0
0 0 -1 0
|
|
|
| 2 1/4,y,0 +1 | {2y|1/2,0,0} |
16. | x,-y,-z+1/2 mx,-my,-mz
|
|
1 0 0 0
0 -1 0 0
0 0 -1 1/2
|
|
|
| 2 x,0,1/4 +1 | {2x|0,0,1/2} |
17d. | z+1/2,x+1/2,y+1/2 mz,mx,my
|
|
0 0 1 1/2
1 0 0 1/2
0 1 0 1/2
|
|
|
| 3+ (1/2,1/2,1/2) x,x,x +1 | {3xyz|1/2,1/2,1/2} |
18. | z,-x,-y+1/2 mz,-mx,-my
|
|
0 0 1 0
-1 0 0 0
0 -1 0 1/2
|
|
|
| 3+ (1/6,-1/6,1/6) -x-1/6,x+1/3,-x +1 | {3x-yz-1|0,0,1/2} |
19. | -z,-x+1/2,y -mz,-mx,my
|
|
0 0 -1 0
-1 0 0 1/2
0 1 0 0
|
|
|
| 3+ (-1/6,1/6,1/6) x+1/6,-x+1/6,-x +1 | {3-xyz-1|0,1/2,0} |
20. | -z+1/2,x,-y -mz,mx,-my
|
|
0 0 -1 1/2
1 0 0 0
0 -1 0 0
|
|
|
| 3+ (1/6,1/6,-1/6) -x+1/3,-x+1/6,x +1 | {3xy-z-1|1/2,0,0} |
21d. | y+1/2,z+1/2,x+1/2 my,mz,mx
|
|
0 1 0 1/2
0 0 1 1/2
1 0 0 1/2
|
|
|
| 3- (1/2,1/2,1/2) x,x,x +1 | {3xyz-1|1/2,1/2,1/2} |
22. | -y+1/2,z,-x -my,mz,-mx
|
|
0 -1 0 1/2
0 0 1 0
-1 0 0 0
|
|
|
| 3- (1/6,-1/6,-1/6) x+1/6,-x+1/6,-x +1 | {3-xyz|1/2,0,0} |
23. | y,-z,-x+1/2 my,-mz,-mx
|
|
0 1 0 0
0 0 -1 0
-1 0 0 1/2
|
|
|
| 3- (-1/6,-1/6,1/6) -x+1/3,-x+1/6,x +1 | {3xy-z|0,0,1/2} |
24. | -y,-z+1/2,x -my,-mz,mx
|
|
0 -1 0 0
0 0 -1 1/2
1 0 0 0
|
|
|
| 3- (-1/6,1/6,-1/6) -x-1/6,x+1/3,-x +1 | {3x-yz|0,1/2,0} |
25. | -x,-y,-z -mx,-my,-mz
|
|
-1 0 0 0
0 -1 0 0
0 0 -1 0
|
|
' |
| -1 0,0,0 -1 | {-1|0,0,0}' |
26d. | x+1/2,y,-z+1/2 mx,my,-mz
|
|
1 0 0 1/2
0 1 0 0
0 0 -1 1/2
|
|
' |
| a x,y,1/4 -1 | {mz|1/2,0,1/2}' |
27d. | x,-y+1/2,z+1/2 mx,-my,mz
|
|
1 0 0 0
0 -1 0 1/2
0 0 1 1/2
|
|
' |
| c x,1/4,z -1 | {my|0,1/2,1/2}' |
28d. | -x+1/2,y+1/2,z -mx,my,mz
|
|
-1 0 0 1/2
0 1 0 1/2
0 0 1 0
|
|
' |
| b 1/4,y,z -1 | {mx|1/2,1/2,0}' |
29. | -z,-x,-y -mz,-mx,-my
|
|
0 0 -1 0
-1 0 0 0
0 -1 0 0
|
|
' |
| -3+ x,x,x 0,0,0 -1 | {-3xyz|0,0,0}' |
30d. | -z+1/2,x+1/2,y -mz,mx,my
|
|
0 0 -1 1/2
1 0 0 1/2
0 1 0 0
|
|
' |
| -3+ -x-1/2,x+1,-x 0,1/2,1/2 -1 | {-3x-yz-1|1/2,1/2,0}' |
31d. | z+1/2,x,-y+1/2 mz,mx,-my
|
|
0 0 1 1/2
1 0 0 0
0 -1 0 1/2
|
|
' |
| -3+ x+1/2,-x+1/2,-x 1/2,1/2,0 -1 | {-3-xyz-1|1/2,0,1/2}' |
32d. | z,-x+1/2,y+1/2 mz,-mx,my
|
|
0 0 1 0
-1 0 0 1/2
0 1 0 1/2
|
|
' |
| -3+ -x+1,-x+1/2,x 1/2,0,1/2 -1 | {-3xy-z-1|0,1/2,1/2}' |
33. | -y,-z,-x -my,-mz,-mx
|
|
0 -1 0 0
0 0 -1 0
-1 0 0 0
|
|
' |
| -3- x,x,x 0,0,0 -1 | {-3xyz-1|0,0,0}' |
34d. | y,-z+1/2,x+1/2 my,-mz,mx
|
|
0 1 0 0
0 0 -1 1/2
1 0 0 1/2
|
|
' |
| -3- x+1/2,-x,-x 0,0,1/2 -1 | {-3-xyz|0,1/2,1/2}' |
35d. | -y+1/2,z+1/2,x -my,mz,mx
|
|
0 -1 0 1/2
0 0 1 1/2
1 0 0 0
|
|
' |
| -3- -x,-x+1/2,x 0,1/2,0 -1 | {-3xy-z|1/2,1/2,0}' |
36d. | y+1/2,z,-x+1/2 my,mz,-mx
|
|
0 1 0 1/2
0 0 1 0
-1 0 0 1/2
|
|
' |
| -3- -x+1/2,x,-x 1/2,0,0 -1 | {-3x-yz|1/2,0,1/2}' |
37d. | -x+1/2,-y+1/2,-z+1/2 -mx,-my,-mz
|
|
-1 0 0 1/2
0 -1 0 1/2
0 0 -1 1/2
|
|
' |
| -1 1/4,1/4,1/4 -1 | {-1|1/2,1/2,1/2}' |
38. | x,y+1/2,-z mx,my,-mz
|
|
1 0 0 0
0 1 0 1/2
0 0 -1 0
|
|
' |
| b x,y,0 -1 | {mz|0,1/2,0}' |
39. | x+1/2,-y,z mx,-my,mz
|
|
1 0 0 1/2
0 -1 0 0
0 0 1 0
|
|
' |
| a x,0,z -1 | {my|1/2,0,0}' |
40. | -x,y,z+1/2 -mx,my,mz
|
|
-1 0 0 0
0 1 0 0
0 0 1 1/2
|
|
' |
| c 0,y,z -1 | {mx|0,0,1/2}' |
41d. | -z+1/2,-x+1/2,-y+1/2 -mz,-mx,-my
|
|
0 0 -1 1/2
-1 0 0 1/2
0 -1 0 1/2
|
|
' |
| -3+ x,x,x 1/4,1/4,1/4 -1 | {-3xyz|1/2,1/2,1/2}' |
42. | -z,x,y+1/2 -mz,mx,my
|
|
0 0 -1 0
1 0 0 0
0 1 0 1/2
|
|
' |
| -3+ -x-1/2,x,-x -1/4,-1/4,1/4 -1 | {-3x-yz-1|0,0,1/2}' |
43. | z,x+1/2,-y mz,mx,-my
|
|
0 0 1 0
1 0 0 1/2
0 -1 0 0
|
|
' |
| -3+ x-0.5,-x+1/2,-x -1/4,1/4,-1/4 -1 | {-3-xyz-1|0,1/2,0}' |
44. | z+1/2,-x,y mz,-mx,my
|
|
0 0 1 1/2
-1 0 0 0
0 1 0 0
|
|
' |
| -3+ -x,-x,x 1/4,-1/4,-1/4 -1 | {-3xy-z-1|1/2,0,0}' |
45d. | -y+1/2,-z+1/2,-x+1/2 -my,-mz,-mx
|
|
0 -1 0 1/2
0 0 -1 1/2
-1 0 0 1/2
|
|
' |
| -3- x,x,x 1/4,1/4,1/4 -1 | {-3xyz-1|1/2,1/2,1/2}' |
46. | y+1/2,-z,x my,-mz,mx
|
|
0 1 0 1/2
0 0 -1 0
1 0 0 0
|
|
' |
| -3- x+1/2,-x,-x 1/4,-1/4,1/4 -1 | {-3-xyz|1/2,0,0}' |
47. | -y,z,x+1/2 -my,mz,mx
|
|
0 -1 0 0
0 0 1 0
1 0 0 1/2
|
|
' |
| -3- -x,-x+1/2,x -1/4,1/4,1/4 -1 | {-3xy-z|0,0,1/2}' |
48. | y,z+1/2,-x my,mz,-mx
|
|
0 1 0 0
0 0 1 1/2
-1 0 0 0
|
|
' |
| -3- -x+1/2,x,-x 1/4,1/4,-1/4 -1 | {-3x-yz|0,1/2,0}' |