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FSd-3 [#203.29] (Type: 4 -- Type IV (klassengleiche))

[OG: PFn-3 #201.4.1523]

Operators of Group 203.29 (FSd-3)

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+3/4,-y+3/4,z
-mx,-my,mz

(
 -1   0   0   3/4
  0  -1   0   3/4
  0   0   1     0
)
2 3/8,3/8,z +1 {2z|3/4,3/4,0}
3.-x+3/4,y,-z+3/4
-mx,my,-mz

(
 -1   0   0   3/4
  0   1   0     0
  0   0  -1   3/4
)
2 3/8,y,3/8 +1 {2y|3/4,0,3/4}
4.x,-y+3/4,-z+3/4
mx,-my,-mz

(
  1   0   0     0
  0  -1   0   3/4
  0   0  -1   3/4
)
2 x,3/8,3/8 +1 {2x|0,3/4,3/4}
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+3/4,-y+3/4
mz,-mx,-my

(
  0   0   1     0
 -1   0   0   3/4
  0  -1   0   3/4
)
3+ -x,x+3/4,-x +1 {3x-yz-1|0,3/4,3/4}
7.-z+3/4,-x+3/4,y
-mz,-mx,my

(
  0   0  -1   3/4
 -1   0   0   3/4
  0   1   0     0
)
3+ x+3/4,-x,-x +1 {3-xyz-1|3/4,3/4,0}
8.-z+3/4,x,-y+3/4
-mz,mx,-my

(
  0   0  -1   3/4
  1   0   0     0
  0  -1   0   3/4
)
3+ -x+3/4,-x+3/4,x +1 {3xy-z-1|3/4,0,3/4}
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+3/4,z,-x+3/4
-my,mz,-mx

(
  0  -1   0   3/4
  0   0   1     0
 -1   0   0   3/4
)
3- x+3/4,-x,-x +1 {3-xyz|3/4,0,3/4}
11.y,-z+3/4,-x+3/4
my,-mz,-mx

(
  0   1   0     0
  0   0  -1   3/4
 -1   0   0   3/4
)
3- -x+3/4,-x+3/4,x +1 {3xy-z|0,3/4,3/4}
12.-y+3/4,-z+3/4,x
-my,-mz,mx

(
  0  -1   0   3/4
  0   0  -1   3/4
  1   0   0     0
)
3- -x,x+3/4,-x +1 {3x-yz|3/4,3/4,0}
13.-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}
14.x+1/4,y+1/4,-z
-mx,-my,mz

(
  1   0   0   1/4
  0   1   0   1/4
  0   0  -1     0
)
d (1/4,1/4,0) x,y,0 +1 {mz|1/4,1/4,0}
15.x+1/4,-y,z+1/4
-mx,my,-mz

(
  1   0   0   1/4
  0  -1   0     0
  0   0   1   1/4
)
d (1/4,0,1/4) x,0,z +1 {my|1/4,0,1/4}
16.-x,y+1/4,z+1/4
mx,-my,-mz

(
 -1   0   0     0
  0   1   0   1/4
  0   0   1   1/4
)
d (0,1/4,1/4) 0,y,z +1 {mx|0,1/4,1/4}
17.-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}
18.-z,x+1/4,y+1/4
mz,-mx,-my

(
  0   0  -1     0
  1   0   0   1/4
  0   1   0   1/4
)
-3+ -x-1/2,x+1/4,-x -1/4,0,1/4 +1 {-3x-yz-1|0,1/4,1/4}
19.z+1/4,x+1/4,-y
-mz,-mx,my

(
  0   0   1   1/4
  1   0   0   1/4
  0  -1   0     0
)
-3+ x-0.25,-x+1/2,-x 0,1/4,-1/4 +1 {-3-xyz-1|1/4,1/4,0}
20.z+1/4,-x,y+1/4
-mz,mx,-my

(
  0   0   1   1/4
 -1   0   0     0
  0   1   0   1/4
)
-3+ -x+1/4,-x,x 1/4,-1/4,0 +1 {-3xy-z-1|1/4,0,1/4}
21.-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}
22.y+1/4,-z,x+1/4
-my,mz,-mx

(
  0   1   0   1/4
  0   0  -1     0
  1   0   0   1/4
)
-3- x+1/4,-x,-x 0,-1/4,1/4 +1 {-3-xyz|1/4,0,1/4}
23.-y,z+1/4,x+1/4
my,-mz,-mx

(
  0  -1   0     0
  0   0   1   1/4
  1   0   0   1/4
)
-3- -x-1/4,-x+1/4,x -1/4,1/4,0 +1 {-3xy-z|0,1/4,1/4}
24.y+1/4,z+1/4,-x
-my,-mz,mx

(
  0   1   0   1/4
  0   0   1   1/4
 -1   0   0     0
)
-3- -x+1/2,x-1/4,-x 1/4,0,-1/4 +1 {-3x-yz|1/4,1/4,0}
25.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}
26d.-x+3/4,-y+1/4,z+1/2
-mx,-my,mz

(
 -1   0   0   3/4
  0  -1   0   1/4
  0   0   1   1/2
)
2 (0,0,1/2) 3/8,1/8,z +1 {2z|3/4,1/4,1/2}
27d.-x+3/4,y+1/2,-z+1/4
-mx,my,-mz

(
 -1   0   0   3/4
  0   1   0   1/2
  0   0  -1   1/4
)
2 (0,1/2,0) 3/8,y,1/8 +1 {2y|3/4,1/2,1/4}
28d.x,-y+1/4,-z+1/4
mx,-my,-mz

(
  1   0   0     0
  0  -1   0   1/4
  0   0  -1   1/4
)
2 x,1/8,1/8 +1 {2x|0,1/4,1/4}
29d.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}
30d.z,-x+1/4,-y+1/4
mz,-mx,-my

(
  0   0   1     0
 -1   0   0   1/4
  0  -1   0   1/4
)
3+ -x,x+1/4,-x +1 {3x-yz-1|0,1/4,1/4}
31d.-z+3/4,-x+1/4,y+1/2
-mz,-mx,my

(
  0   0  -1   3/4
 -1   0   0   1/4
  0   1   0   1/2
)
3+ x+3/4,-x,-x +1 {3-xyz-1|3/4,1/4,1/2}
32d.-z+3/4,x+1/2,-y+1/4
-mz,mx,-my

(
  0   0  -1   3/4
  1   0   0   1/2
  0  -1   0   1/4
)
3+ (1/3,1/3,-1/3) -x+5/12,-x+7/12,x +1 {3xy-z-1|3/4,1/2,1/4}
33d.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}
34d.-y+3/4,z+1/2,-x+1/4
-my,mz,-mx

(
  0  -1   0   3/4
  0   0   1   1/2
 -1   0   0   1/4
)
3- x+1/4,-x+1/2,-x +1 {3-xyz|3/4,1/2,1/4}
35d.y,-z+1/4,-x+1/4
my,-mz,-mx

(
  0   1   0     0
  0   0  -1   1/4
 -1   0   0   1/4
)
3- -x+1/4,-x+1/4,x +1 {3xy-z|0,1/4,1/4}
36d.-y+3/4,-z+1/4,x+1/2
-my,-mz,mx

(
  0  -1   0   3/4
  0   0  -1   1/4
  1   0   0   1/2
)
3- (1/3,-1/3,1/3) -x-1/6,x+7/12,-x +1 {3x-yz|3/4,1/4,1/2}