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} |
2. | -x,-y,z -mx,-my,mz
|
|
-1 0 0 0
0 -1 0 0
0 0 1 0
|
|
|
| 2 0,0,z +1 | {2z|0,0,0} |
3. | -x,y,-z -mx,my,-mz
|
|
-1 0 0 0
0 1 0 0
0 0 -1 0
|
|
|
| 2 0,y,0 +1 | {2y|0,0,0} |
4. | x,-y,-z mx,-my,-mz
|
|
1 0 0 0
0 -1 0 0
0 0 -1 0
|
|
|
| 2 x,0,0 +1 | {2x|0,0,0} |
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} |
6. | z,-x,-y mz,-mx,-my
|
|
0 0 1 0
-1 0 0 0
0 -1 0 0
|
|
|
| 3+ -x,x,-x +1 | {3x-yz-1|0,0,0} |
7. | -z,-x,y -mz,-mx,my
|
|
0 0 -1 0
-1 0 0 0
0 1 0 0
|
|
|
| 3+ x,-x,-x +1 | {3-xyz-1|0,0,0} |
8. | -z,x,-y -mz,mx,-my
|
|
0 0 -1 0
1 0 0 0
0 -1 0 0
|
|
|
| 3+ -x,-x,x +1 | {3xy-z-1|0,0,0} |
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} |
10. | -y,z,-x -my,mz,-mx
|
|
0 -1 0 0
0 0 1 0
-1 0 0 0
|
|
|
| 3- x,-x,-x +1 | {3-xyz|0,0,0} |
11. | y,-z,-x my,-mz,-mx
|
|
0 1 0 0
0 0 -1 0
-1 0 0 0
|
|
|
| 3- -x,-x,x +1 | {3xy-z|0,0,0} |
12. | -y,-z,x -my,-mz,mx
|
|
0 -1 0 0
0 0 -1 0
1 0 0 0
|
|
|
| 3- -x,x,-x +1 | {3x-yz|0,0,0} |
13. | x,y+1/2,z+1/2 mx,my,mz
|
|
1 0 0 0
0 1 0 1/2
0 0 1 1/2
|
|
|
| t (0,1/2,1/2) +1 | {1|0,1/2,1/2} |
14d. | -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 (0,0,1/2) 0,1/4,z +1 | {2z|0,1/2,1/2} |
15d. | -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} |
16d. | 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 x,1/4,1/4 +1 | {2x|0,1/2,1/2} |
17d. | 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+ (1/3,1/3,1/3) x-0.33333,x-1/6,x +1 | {3xyz|0,1/2,1/2} |
18d. | 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 | {3x-yz-1|0,1/2,1/2} |
19d. | -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+ (-1/3,1/3,1/3) x+1/3,-x,-x +1 | {3-xyz-1|0,1/2,1/2} |
20d. | -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} |
21d. | 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-0.16666,x+1/6,x +1 | {3xyz-1|0,1/2,1/2} |
22d. | -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} |
23d. | 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+1/2,x +1 | {3xy-z|0,1/2,1/2} |
24d. | -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+1/2,-x +1 | {3x-yz|0,1/2,1/2} |
25. | x+1/2,y,z+1/2 mx,my,mz
|
|
1 0 0 1/2
0 1 0 0
0 0 1 1/2
|
|
|
| t (1/2,0,1/2) +1 | {1|1/2,0,1/2} |
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
|
|
|
| 2 (0,0,1/2) 1/4,0,z +1 | {2z|1/2,0,1/2} |
27d. | -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 1/4,y,1/4 +1 | {2y|1/2,0,1/2} |
28d. | 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 (1/2,0,0) x,0,1/4 +1 | {2x|1/2,0,1/2} |
29d. | 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+ (1/3,1/3,1/3) x+1/6,x-1/6,x +1 | {3xyz|1/2,0,1/2} |
30d. | 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+ (1/3,-1/3,1/3) -x+1/6,x+1/6,-x +1 | {3x-yz-1|1/2,0,1/2} |
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,-x +1 | {3-xyz-1|1/2,0,1/2} |
32d. | -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 | {3xy-z-1|1/2,0,1/2} |
33d. | 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-0.16667,x-1/3,x +1 | {3xyz-1|1/2,0,1/2} |
34d. | -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 | {3-xyz|1/2,0,1/2} |
35d. | 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 | {3xy-z|1/2,0,1/2} |
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- (1/3,-1/3,1/3) -x-1/6,x+1/3,-x +1 | {3x-yz|1/2,0,1/2} |
37. | x+1/2,y+1/2,z mx,my,mz
|
|
1 0 0 1/2
0 1 0 1/2
0 0 1 0
|
|
|
| t (1/2,1/2,0) +1 | {1|1/2,1/2,0} |
38d. | -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 1/4,1/4,z +1 | {2z|1/2,1/2,0} |
39d. | -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 (0,1/2,0) 1/4,y,0 +1 | {2y|1/2,1/2,0} |
40d. | 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} |
41d. | 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+ (1/3,1/3,1/3) x+1/6,x+1/3,x +1 | {3xyz|1/2,1/2,0} |
42d. | 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} |
43d. | -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 | {3-xyz-1|1/2,1/2,0} |
44d. | -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+ (1/3,1/3,-1/3) -x+1/6,-x+1/3,x +1 | {3xy-z-1|1/2,1/2,0} |
45d. | 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 | {3xyz-1|1/2,1/2,0} |
46d. | -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 +1 | {3-xyz|1/2,1/2,0} |
47d. | 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} |
48d. | -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 +1 | {3x-yz|1/2,1/2,0} |
49. | y,x,-z -my,-mx,mz
|
|
0 1 0 0
1 0 0 0
0 0 -1 0
|
|
' |
| 2 x,x,0 -1 | {2xy|0,0,0}' |
50. | -y,-x,-z my,mx,mz
|
|
0 -1 0 0
-1 0 0 0
0 0 -1 0
|
|
' |
| 2 x,-x,0 -1 | {2-xy|0,0,0}' |
51. | y,-x,z -my,mx,-mz
|
|
0 1 0 0
-1 0 0 0
0 0 1 0
|
|
' |
| 4- 0,0,z -1 | {4z-1|0,0,0}' |
52. | -y,x,z my,-mx,-mz
|
|
0 -1 0 0
1 0 0 0
0 0 1 0
|
|
' |
| 4+ 0,0,z -1 | {4z|0,0,0}' |
53. | x,z,-y -mx,-mz,my
|
|
1 0 0 0
0 0 1 0
0 -1 0 0
|
|
' |
| 4- x,0,0 -1 | {4x-1|0,0,0}' |
54. | -x,z,y mx,-mz,-my
|
|
-1 0 0 0
0 0 1 0
0 1 0 0
|
|
' |
| 2 0,y,y -1 | {2yz|0,0,0}' |
55. | -x,-z,-y mx,mz,my
|
|
-1 0 0 0
0 0 -1 0
0 -1 0 0
|
|
' |
| 2 0,y,-y -1 | {2-yz|0,0,0}' |
56. | x,-z,y -mx,mz,-my
|
|
1 0 0 0
0 0 -1 0
0 1 0 0
|
|
' |
| 4+ x,0,0 -1 | {4x|0,0,0}' |
57. | z,y,-x -mz,-my,mx
|
|
0 0 1 0
0 1 0 0
-1 0 0 0
|
|
' |
| 4+ 0,y,0 -1 | {4y|0,0,0}' |
58. | z,-y,x -mz,my,-mx
|
|
0 0 1 0
0 -1 0 0
1 0 0 0
|
|
' |
| 2 x,0,x -1 | {2xz|0,0,0}' |
59. | -z,y,x mz,-my,-mx
|
|
0 0 -1 0
0 1 0 0
1 0 0 0
|
|
' |
| 4- 0,y,0 -1 | {4y-1|0,0,0}' |
60. | -z,-y,-x mz,my,mx
|
|
0 0 -1 0
0 -1 0 0
-1 0 0 0
|
|
' |
| 2 -x,0,x -1 | {2-xz|0,0,0}' |