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