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 0,0,z +1 | {2z|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 x,0,0 +1 | {2x|0,0,0} |
5. | 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} |
6. | 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} |
7. | -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} |
8. | -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} |
9. | 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} |
10. | -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} |
11. | 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} |
12. | -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} |
13. | y,x,-z my,mx,-mz
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0 1 0 0
1 0 0 0
0 0 -1 0
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| 2 x,x,0 +1 | {2xy|0,0,0} |
14. | -y,-x,-z -my,-mx,-mz
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0 -1 0 0
-1 0 0 0
0 0 -1 0
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| 2 x,-x,0 +1 | {2-xy|0,0,0} |
15. | y,-x,z my,-mx,mz
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0 1 0 0
-1 0 0 0
0 0 1 0
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| 4- 0,0,z +1 | {4z-1|0,0,0} |
16. | -y,x,z -my,mx,mz
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0 -1 0 0
1 0 0 0
0 0 1 0
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| 4+ 0,0,z +1 | {4z|0,0,0} |
17. | x,z,-y mx,mz,-my
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1 0 0 0
0 0 1 0
0 -1 0 0
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| 4- x,0,0 +1 | {4x-1|0,0,0} |
18. | -x,z,y -mx,mz,my
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-1 0 0 0
0 0 1 0
0 1 0 0
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| 2 0,y,y +1 | {2yz|0,0,0} |
19. | -x,-z,-y -mx,-mz,-my
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-1 0 0 0
0 0 -1 0
0 -1 0 0
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| 2 0,y,-y +1 | {2-yz|0,0,0} |
20. | x,-z,y mx,-mz,my
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1 0 0 0
0 0 -1 0
0 1 0 0
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| 4+ x,0,0 +1 | {4x|0,0,0} |
21. | z,y,-x mz,my,-mx
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0 0 1 0
0 1 0 0
-1 0 0 0
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| 4+ 0,y,0 +1 | {4y|0,0,0} |
22. | z,-y,x mz,-my,mx
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0 0 1 0
0 -1 0 0
1 0 0 0
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| 2 x,0,x +1 | {2xz|0,0,0} |
23. | -z,y,x -mz,my,mx
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0 0 -1 0
0 1 0 0
1 0 0 0
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| 4- 0,y,0 +1 | {4y-1|0,0,0} |
24. | -z,-y,-x -mz,-my,-mx
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0 0 -1 0
0 -1 0 0
-1 0 0 0
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| 2 -x,0,x +1 | {2-xz|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} |
26d. | -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} |
27d. | -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} |
28d. | 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} |
29d. | 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} |
30d. | 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} |
31d. | -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} |
32d. | -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} |
33d. | 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} |
34d. | -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} |
35d. | 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} |
36d. | -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} |
37d. | y+1/2,x+1/2,-z+1/2 my,mx,-mz
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0 1 0 1/2
1 0 0 1/2
0 0 -1 1/2
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| 2 (1/2,1/2,0) x,x,1/4 +1 | {2xy|1/2,1/2,1/2} |
38d. | -y+1/2,-x+1/2,-z+1/2 -my,-mx,-mz
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0 -1 0 1/2
-1 0 0 1/2
0 0 -1 1/2
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| 2 x,-x+1/2,1/4 +1 | {2-xy|1/2,1/2,1/2} |
39d. | y+1/2,-x+1/2,z+1/2 my,-mx,mz
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0 1 0 1/2
-1 0 0 1/2
0 0 1 1/2
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| 4- (0,0,1/2) 1/2,0,z +1 | {4z-1|1/2,1/2,1/2} |
40d. | -y+1/2,x+1/2,z+1/2 -my,mx,mz
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0 -1 0 1/2
1 0 0 1/2
0 0 1 1/2
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| 4+ (0,0,1/2) 0,1/2,z +1 | {4z|1/2,1/2,1/2} |
41d. | x+1/2,z+1/2,-y+1/2 mx,mz,-my
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1 0 0 1/2
0 0 1 1/2
0 -1 0 1/2
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| 4- (1/2,0,0) x,1/2,0 +1 | {4x-1|1/2,1/2,1/2} |
42d. | -x+1/2,z+1/2,y+1/2 -mx,mz,my
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-1 0 0 1/2
0 0 1 1/2
0 1 0 1/2
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| 2 (0,1/2,1/2) 1/4,y,y +1 | {2yz|1/2,1/2,1/2} |
43d. | -x+1/2,-z+1/2,-y+1/2 -mx,-mz,-my
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-1 0 0 1/2
0 0 -1 1/2
0 -1 0 1/2
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| 2 1/4,y+1/2,-y +1 | {2-yz|1/2,1/2,1/2} |
44d. | x+1/2,-z+1/2,y+1/2 mx,-mz,my
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1 0 0 1/2
0 0 -1 1/2
0 1 0 1/2
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| 4+ (1/2,0,0) x,0,1/2 +1 | {4x|1/2,1/2,1/2} |
45d. | z+1/2,y+1/2,-x+1/2 mz,my,-mx
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0 0 1 1/2
0 1 0 1/2
-1 0 0 1/2
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| 4+ (0,1/2,0) 1/2,y,0 +1 | {4y|1/2,1/2,1/2} |
46d. | z+1/2,-y+1/2,x+1/2 mz,-my,mx
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0 0 1 1/2
0 -1 0 1/2
1 0 0 1/2
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| 2 (1/2,0,1/2) x,1/4,x +1 | {2xz|1/2,1/2,1/2} |
47d. | -z+1/2,y+1/2,x+1/2 -mz,my,mx
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0 0 -1 1/2
0 1 0 1/2
1 0 0 1/2
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| 4- (0,1/2,0) 0,y,1/2 +1 | {4y-1|1/2,1/2,1/2} |
48d. | -z+1/2,-y+1/2,-x+1/2 -mz,-my,-mx
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0 0 -1 1/2
0 -1 0 1/2
-1 0 0 1/2
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| 2 -x+1/2,1/4,x +1 | {2-xz|1/2,1/2,1/2} |