1. | x,y,z 0,0,0
|
|
1 0 0 0
0 1 0 0
0 0 1 0
|
|
|
| 1 +1 | {1|0,0,0} |
2. | -x,-y,z 0,0,0
|
|
-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 0,0,0
|
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-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 0,0,0
|
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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 0,0,0
|
|
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 0,0,0
|
|
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 0,0,0
|
|
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 0,0,0
|
|
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 0,0,0
|
|
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 0,0,0
|
|
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 0,0,0
|
|
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 0,0,0
|
|
0 -1 0 0
0 0 -1 0
1 0 0 0
|
|
|
| 3- -x,x,-x +1 | {3x-yz|0,0,0} |
13. | y,x,z 0,0,0
|
|
0 1 0 0
1 0 0 0
0 0 1 0
|
|
|
| m x,x,z +1 | {m-xy|0,0,0} |
14. | -y,-x,z 0,0,0
|
|
0 -1 0 0
-1 0 0 0
0 0 1 0
|
|
|
| m x,-x,z +1 | {mxy|0,0,0} |
15. | y,-x,-z 0,0,0
|
|
0 1 0 0
-1 0 0 0
0 0 -1 0
|
|
|
| -4+ 0,0,z 0,0,0 +1 | {-4z|0,0,0} |
16. | -y,x,-z 0,0,0
|
|
0 -1 0 0
1 0 0 0
0 0 -1 0
|
|
|
| -4- 0,0,z 0,0,0 +1 | {-4z-1|0,0,0} |
17. | x,z,y 0,0,0
|
|
1 0 0 0
0 0 1 0
0 1 0 0
|
|
|
| m x,y,y +1 | {m-yz|0,0,0} |
18. | -x,z,-y 0,0,0
|
|
-1 0 0 0
0 0 1 0
0 -1 0 0
|
|
|
| -4+ x,0,0 0,0,0 +1 | {-4x|0,0,0} |
19. | -x,-z,y 0,0,0
|
|
-1 0 0 0
0 0 -1 0
0 1 0 0
|
|
|
| -4- x,0,0 0,0,0 +1 | {-4x-1|0,0,0} |
20. | x,-z,-y 0,0,0
|
|
1 0 0 0
0 0 -1 0
0 -1 0 0
|
|
|
| m x,y,-y +1 | {myz|0,0,0} |
21. | z,y,x 0,0,0
|
|
0 0 1 0
0 1 0 0
1 0 0 0
|
|
|
| m x,y,x +1 | {m-xz|0,0,0} |
22. | z,-y,-x 0,0,0
|
|
0 0 1 0
0 -1 0 0
-1 0 0 0
|
|
|
| -4- 0,y,0 0,0,0 +1 | {-4y-1|0,0,0} |
23. | -z,y,-x 0,0,0
|
|
0 0 -1 0
0 1 0 0
-1 0 0 0
|
|
|
| m -x,y,x +1 | {mxz|0,0,0} |
24. | -z,-y,x 0,0,0
|
|
0 0 -1 0
0 -1 0 0
1 0 0 0
|
|
|
| -4+ 0,y,0 0,0,0 +1 | {-4y|0,0,0} |
25. | 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} |
26d. | -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
|
|
|
| 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
|
|
-1 0 0 1/2
0 1 0 1/2
0 0 -1 1/2
|
|
|
| 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
|
|
1 0 0 1/2
0 -1 0 1/2
0 0 -1 1/2
|
|
|
| 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
|
|
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} |
30d. | 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+ (1/6,-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
|
|
0 0 -1 1/2
-1 0 0 1/2
0 1 0 1/2
|
|
|
| 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
|
|
0 0 -1 1/2
1 0 0 1/2
0 -1 0 1/2
|
|
|
| 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
|
|
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} |
34d. | -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- (-1/6,1/6,1/6) 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
|
|
0 1 0 1/2
0 0 -1 1/2
-1 0 0 1/2
|
|
|
| 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
|
|
0 -1 0 1/2
0 0 -1 1/2
1 0 0 1/2
|
|
|
| 3- (1/6,-1/6,1/6) -x-1/3,x+2/3,-x +1 | {3x-yz|1/2,1/2,1/2} |