General Positions of Magnetic Space Groups

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General Positions of the Group F_Sd-3c (#228.139) [BNS setting]

228.139 Fd-3c.1'_I[Pn-3m] (UNI symbol)

To display the general positions in the OG setting, please follow this link: P_Fn-3m' ( #224.7.1617) [Transformation matrix]

Translation lattice generators: (1|1,0,0), (1|0,1,0), (1|0,0,1), (1|0,0,0), (1|0,1/2,1/2), (1|1/2,0,1/2), (1|1/2,1/2,0)

Black-and-white lattice generators: (1|1,0,0), (1|0,1,0), (1|0,0,1), (1|0,1/2,1/2), (1|1/2,0,1/2), (1|1/2,1/2,0), (1'|0,0,1/2) , (1'|0,1/2,0) , (1'|1/2,0,0) , (1'|1/2,1/2,1/2)

Standard/Default Setting

(x,y,z) form

Matrix form

Geom. interp.

Seitz notation

x, y, z, +1
m_x,m_y,m_z

   1   0   0    0
   0   1   0    0
   0   0   1    0

1 +1

{ 1 | 0 }

x+1/4, -z+1/2, y+1/4, +1
m_x,-m_z,m_y

   1   0   0   1/4
   0   0  -1   1/2
   0   1   0   1/4

4⁺ (1/4,0,0) x,1/8,3/8 +1

{ 4⁺₁₀₀ | 1/4 1/2 1/4 }

x+1/4, z+1/4, -y+1/2, +1
m_x,m_z,-m_y

   1   0   0   1/4
   0   0   1   1/4
   0  -1   0   1/2

4^- (1/4,0,0) x,3/8,1/8 +1

{ 4^-₁₀₀ | 1/4 1/4 1/2 }

z+1/4, y+1/4, -x+1/2, +1
m_z,m_y,-m_x

   0   0   1   1/4
   0   1   0   1/4
  -1   0   0   1/2

4⁺ (0,1/4,0) 3/8,y,1/8 +1

{ 4⁺₀₁₀ | 1/4 1/4 1/2 }

-z+1/2, y+1/4, x+1/4, +1
-m_z,m_y,m_x

   0   0  -1   1/2
   0   1   0   1/4
   1   0   0   1/4

4^- (0,1/4,0) 1/8,y,3/8 +1

{ 4^-₀₁₀ | 1/2 1/4 1/4 }

-y+1/2, x+1/4, z+1/4, +1
-m_y,m_x,m_z

   0  -1   0   1/2
   1   0   0   1/4
   0   0   1   1/4

4⁺ (0,0,1/4) 1/8,3/8,z +1

{ 4⁺₀₀₁ | 1/2 1/4 1/4 }

y+1/4, -x+1/2, z+1/4, +1
m_y,-m_x,m_z

   0   1   0   1/4
  -1   0   0   1/2
   0   0   1   1/4

4^- (0,0,1/4) 3/8,1/8,z +1

{ 4^-₀₀₁ | 1/4 1/2 1/4 }

x, -y+1/4, -z+1/4, +1
m_x,-m_y,-m_z

   1   0   0    0
   0  -1   0   1/4
   0   0  -1   1/4

2 x,1/8,1/8 +1

{ 2₁₀₀ | 0 1/4 1/4 }

-x+1/4, y, -z+1/4, +1
-m_x,m_y,-m_z

  -1   0   0   1/4
   0   1   0    0
   0   0  -1   1/4

2 1/8,y,1/8 +1

{ 2₀₁₀ | 1/4 0 1/4 }

-x+1/4, -y+1/4, z, +1
-m_x,-m_y,m_z

  -1   0   0   1/4
   0  -1   0   1/4
   0   0   1    0

2 1/8,1/8,z +1

{ 2₀₀₁ | 1/4 1/4 0 }

y+1/4, x+1/4, -z+1/2, +1
m_y,m_x,-m_z

   0   1   0   1/4
   1   0   0   1/4
   0   0  -1   1/2

2 (1/4,1/4,0) x,x,1/4 +1

{ 2₁₁₀ | 1/4 1/4 1/2 }

-y+1/2, -x+1/2, -z+1/2, +1
-m_y,-m_x,-m_z

   0  -1   0   1/2
  -1   0   0   1/2
   0   0  -1   1/2

2 x,-x+1/2,1/4 +1

{ 2_1-10 | 1/2 1/2 1/2 }

-x+1/2, z+1/4, y+1/4, +1
-m_x,m_z,m_y

  -1   0   0   1/2
   0   0   1   1/4
   0   1   0   1/4

2 (0,1/4,1/4) 1/4,y,y +1

{ 2₀₁₁ | 1/2 1/4 1/4 }

-x+1/2, -z+1/2, -y+1/2, +1
-m_x,-m_z,-m_y

  -1   0   0   1/2
   0   0  -1   1/2
   0  -1   0   1/2

2 1/4,y+1/2,-y +1

{ 2_01-1 | 1/2 1/2 1/2 }

z+1/4, -y+1/2, x+1/4, +1
m_z,-m_y,m_x

   0   0   1   1/4
   0  -1   0   1/2
   1   0   0   1/4

2 (1/4,0,1/4) x,1/4,x +1

{ 2₁₀₁ | 1/4 1/2 1/4 }

-z+1/2, -y+1/2, -x+1/2, +1
-m_z,-m_y,-m_x

   0   0  -1   1/2
   0  -1   0   1/2
  -1   0   0   1/2

2 -x+1/2,1/4,x +1

{ 2_-101 | 1/2 1/2 1/2 }

z, x, y, +1
m_z,m_x,m_y

   0   0   1    0
   1   0   0    0
   0   1   0    0

3⁺ x,x,x +1

{ 3⁺₁₁₁ | 0 }

y, z, x, +1
m_y,m_z,m_x

   0   1   0    0
   0   0   1    0
   1   0   0    0

3^- x,x,x +1

{ 3^-₁₁₁ | 0 }

-y+1/4, z, -x+1/4, +1
-m_y,m_z,-m_x

   0  -1   0   1/4
   0   0   1    0
  -1   0   0   1/4

3^- x+1/4,-x,-x +1

{ 3^-_1-1-1 | 1/4 0 1/4 }

-z+1/4, -x+1/4, y, +1
-m_z,-m_x,m_y

   0   0  -1   1/4
  -1   0   0   1/4
   0   1   0    0

3⁺ x+1/4,-x,-x +1

{ 3⁺_1-1-1 | 1/4 1/4 0 }

-y+1/4, -z+1/4, x, +1
-m_y,-m_z,m_x

   0  -1   0   1/4
   0   0  -1   1/4
   1   0   0    0

3^- -x,x+1/4,-x +1

{ 3^-_-11-1 | 1/4 1/4 0 }

z, -x+1/4, -y+1/4, +1
m_z,-m_x,-m_y

   0   0   1    0
  -1   0   0   1/4
   0  -1   0   1/4

3⁺ -x,x+1/4,-x +1

{ 3⁺_-11-1 | 0 1/4 1/4 }

y, -z+1/4, -x+1/4, +1
m_y,-m_z,-m_x

   0   1   0    0
   0   0  -1   1/4
  -1   0   0   1/4

3^- -x+1/4,-x+1/4,x +1

{ 3^-_-1-11 | 0 1/4 1/4 }

-z+1/4, x, -y+1/4, +1
-m_z,m_x,-m_y

   0   0  -1   1/4
   1   0   0    0
   0  -1   0   1/4

3⁺ -x+1/4,-x+1/4,x +1

{ 3⁺_-1-11 | 1/4 0 1/4 }

-x, -y, -z, +1
m_x,m_y,m_z

  -1   0   0    0
   0  -1   0    0
   0   0  -1    0

-1 0,0,0 +1

{ -1 | 0 }

-x+1/4, z+1/2, -y+1/4, +1
m_x,-m_z,m_y

  -1   0   0   1/4
   0   0   1   1/2
   0  -1   0   1/4

-4⁺ x,3/8,-1/8 1/8,3/8,-1/8 +1

{ -4⁺₁₀₀ | 1/4 1/2 1/4 }

-x+1/4, -z+1/4, y+1/2, +1
m_x,m_z,-m_y

  -1   0   0   1/4
   0   0  -1   1/4
   0   1   0   1/2

-4^- x,-1/8,3/8 1/8,-1/8,3/8 +1

{ -4^-₁₀₀ | 1/4 1/4 1/2 }

-z+1/4, -y+1/4, x+1/2, +1
m_z,m_y,-m_x

   0   0  -1   1/4
   0  -1   0   1/4
   1   0   0   1/2

-4⁺ -1/8,y,3/8 -1/8,1/8,3/8 +1

{ -4⁺₀₁₀ | 1/4 1/4 1/2 }

z+1/2, -y+1/4, -x+1/4, +1
-m_z,m_y,m_x

   0   0   1   1/2
   0  -1   0   1/4
  -1   0   0   1/4

-4^- 3/8,y,-1/8 3/8,1/8,-1/8 +1

{ -4^-₀₁₀ | 1/2 1/4 1/4 }

y+1/2, -x+1/4, -z+1/4, +1
-m_y,m_x,m_z

   0   1   0   1/2
  -1   0   0   1/4
   0   0  -1   1/4

-4⁺ 3/8,-1/8,z 3/8,-1/8,1/8 +1

{ -4⁺₀₀₁ | 1/2 1/4 1/4 }

-y+1/4, x+1/2, -z+1/4, +1
m_y,-m_x,m_z

   0  -1   0   1/4
   1   0   0   1/2
   0   0  -1   1/4

-4^- -1/8,3/8,z -1/8,3/8,1/8 +1

{ -4^-₀₀₁ | 1/4 1/2 1/4 }

-x, y+1/4, z+1/4, +1
m_x,-m_y,-m_z

  -1   0   0    0
   0   1   0   1/4
   0   0   1   1/4

d (0,1/4,1/4) 0,y,z +1

{ m₁₀₀ | 0 1/4 1/4 }

x+1/4, -y, z+1/4, +1
-m_x,m_y,-m_z

   1   0   0   1/4
   0  -1   0    0
   0   0   1   1/4

d (1/4,0,1/4) x,0,z +1

{ m₀₁₀ | 1/4 0 1/4 }

x+1/4, y+1/4, -z, +1
-m_x,-m_y,m_z

   1   0   0   1/4
   0   1   0   1/4
   0   0  -1    0

d (1/4,1/4,0) x,y,0 +1

{ m₀₀₁ | 1/4 1/4 0 }

-y+1/4, -x+1/4, z+1/2, +1
m_y,m_x,-m_z

   0  -1   0   1/4
  -1   0   0   1/4
   0   0   1   1/2

c x+1/4,-x,z +1

{ m₁₁₀ | 1/4 1/4 1/2 }

y+1/2, x+1/2, z+1/2, +1
-m_y,-m_x,-m_z

   0   1   0   1/2
   1   0   0   1/2
   0   0   1   1/2

n (1/2,1/2,1/2) x,x,z +1

{ m_1-10 | 1/2 1/2 1/2 }

x+1/2, -z+1/4, -y+1/4, +1
-m_x,m_z,m_y

   1   0   0   1/2
   0   0  -1   1/4
   0  -1   0   1/4

a x,y+1/4,-y +1

{ m₀₁₁ | 1/2 1/4 1/4 }

x+1/2, z+1/2, y+1/2, +1
-m_x,-m_z,-m_y

   1   0   0   1/2
   0   0   1   1/2
   0   1   0   1/2

n (1/2,1/2,1/2) x,y,y +1

{ m_01-1 | 1/2 1/2 1/2 }

-z+1/4, y+1/2, -x+1/4, +1
m_z,-m_y,m_x

   0   0  -1   1/4
   0   1   0   1/2
  -1   0   0   1/4

b -x+1/4,y,x +1

{ m₁₀₁ | 1/4 1/2 1/4 }

z+1/2, y+1/2, x+1/2, +1
-m_z,-m_y,-m_x

   0   0   1   1/2
   0   1   0   1/2
   1   0   0   1/2

n (1/2,1/2,1/2) x,y,x +1

{ m_-101 | 1/2 1/2 1/2 }

-z, -x, -y, +1
m_z,m_x,m_y

   0   0  -1    0
  -1   0   0    0
   0  -1   0    0

-3⁺ x,x,x 0,0,0 +1

{ -3⁺₁₁₁ | 0 }

-y, -z, -x, +1
m_y,m_z,m_x

   0  -1   0    0
   0   0  -1    0
  -1   0   0    0

-3^- x,x,x 0,0,0 +1

{ -3^-₁₁₁ | 0 }

y+1/4, -z, x+1/4, +1
-m_y,m_z,-m_x

   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^-_1-1-1 | 1/4 0 1/4 }

z+1/4, x+1/4, -y, +1
-m_z,-m_x,m_y

   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⁺_1-1-1 | 1/4 1/4 0 }

y+1/4, z+1/4, -x, +1
-m_y,-m_z,m_x

   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

{ -3^-_-11-1 | 1/4 1/4 0 }

-z, x+1/4, y+1/4, +1
m_z,-m_x,-m_y

   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

{ -3⁺_-11-1 | 0 1/4 1/4 }

-y, z+1/4, x+1/4, +1
m_y,-m_z,-m_x

   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

{ -3^-_-1-11 | 0 1/4 1/4 }

z+1/4, -x, y+1/4, +1
-m_z,m_x,-m_y

   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

{ -3⁺_-1-11 | 1/4 0 1/4 }

x, y+1/2, z+1/2, +1
m_x,m_y,m_z

   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 }

x+1/4, -z, y+3/4, +1
m_x,-m_z,m_y

   1   0   0   1/4
   0   0  -1    0
   0   1   0   3/4

4⁺ (1/4,0,0) x,-3/8,3/8 +1

{ 4⁺₁₀₀ | 1/4 0 3/4 }

x+1/4, z+3/4, -y, +1
m_x,m_z,-m_y

   1   0   0   1/4
   0   0   1   3/4
   0  -1   0    0

4^- (1/4,0,0) x,3/8,-3/8 +1

{ 4^-₁₀₀ | 1/4 3/4 0 }

z+1/4, y+3/4, -x, +1
m_z,m_y,-m_x

   0   0   1   1/4
   0   1   0   3/4
  -1   0   0    0

4⁺ (0,3/4,0) 1/8,y,-1/8 +1

{ 4⁺₀₁₀ | 1/4 3/4 0 }

-z+1/2, y+3/4, x+3/4, +1
-m_z,m_y,m_x

   0   0  -1   1/2
   0   1   0   3/4
   1   0   0   3/4

4^- (0,3/4,0) -1/8,y,5/8 +1

{ 4^-₀₁₀ | 1/2 3/4 3/4 }

-y+1/2, x+3/4, z+3/4, +1
-m_y,m_x,m_z

   0  -1   0   1/2
   1   0   0   3/4
   0   0   1   3/4

4⁺ (0,0,3/4) -1/8,5/8,z +1

{ 4⁺₀₀₁ | 1/2 3/4 3/4 }

y+1/4, -x, z+3/4, +1
m_y,-m_x,m_z

   0   1   0   1/4
  -1   0   0    0
   0   0   1   3/4

4^- (0,0,3/4) 1/8,-1/8,z +1

{ 4^-₀₀₁ | 1/4 0 3/4 }

x, -y+3/4, -z+3/4, +1
m_x,-m_y,-m_z

   1   0   0    0
   0  -1   0   3/4
   0   0  -1   3/4

2 x,3/8,3/8 +1

{ 2₁₀₀ | 0 3/4 3/4 }

-x+1/4, y+1/2, -z+3/4, +1
-m_x,m_y,-m_z

  -1   0   0   1/4
   0   1   0   1/2
   0   0  -1   3/4

2 (0,1/2,0) 1/8,y,3/8 +1

{ 2₀₁₀ | 1/4 1/2 3/4 }

-x+1/4, -y+3/4, z+1/2, +1
-m_x,-m_y,m_z

  -1   0   0   1/4
   0  -1   0   3/4
   0   0   1   1/2

2 (0,0,1/2) 1/8,3/8,z +1

{ 2₀₀₁ | 1/4 3/4 1/2 }

y+1/4, x+3/4, -z, +1
m_y,m_x,-m_z

   0   1   0   1/4
   1   0   0   3/4
   0   0  -1    0

2 (1/2,1/2,0) x,x+1/4,0 +1

{ 2₁₁₀ | 1/4 3/4 0 }

-y+1/2, -x, -z, +1
-m_y,-m_x,-m_z

   0  -1   0   1/2
  -1   0   0    0
   0   0  -1    0

2 (1/4,-1/4,0) x,-x+1/4,0 +1

{ 2_1-10 | 1/2 0 0 }

-x+1/2, z+3/4, y+3/4, +1
-m_x,m_z,m_y

  -1   0   0   1/2
   0   0   1   3/4
   0   1   0   3/4

2 (0,3/4,3/4) 1/4,y,y +1

{ 2₀₁₁ | 1/2 3/4 3/4 }

-x+1/2, -z, -y, +1
-m_x,-m_z,-m_y

  -1   0   0   1/2
   0   0  -1    0
   0  -1   0    0

2 1/4,y,-y +1

{ 2_01-1 | 1/2 0 0 }

z+1/4, -y, x+3/4, +1
m_z,-m_y,m_x

   0   0   1   1/4
   0  -1   0    0
   1   0   0   3/4

2 (1/2,0,1/2) x-0.25,0,x +1

{ 2₁₀₁ | 1/4 0 3/4 }

-z+1/2, -y, -x, +1
-m_z,-m_y,-m_x

   0   0  -1   1/2
   0  -1   0    0
  -1   0   0    0

2 (1/4,0,-1/4) -x+1/4,0,x +1

{ 2_-101 | 1/2 0 0 }

z, x+1/2, y+1/2, +1
m_z,m_x,m_y

   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

{ 3⁺₁₁₁ | 0 1/2 1/2 }

y, z+1/2, x+1/2, +1
m_y,m_z,m_x

   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

{ 3^-₁₁₁ | 0 1/2 1/2 }

-y+1/4, z+1/2, -x+3/4, +1
-m_y,m_z,-m_x

   0  -1   0   1/4
   0   0   1   1/2
  -1   0   0   3/4

3^- (-1/3,1/3,1/3) x+5/12,-x+1/6,-x +1

{ 3^-_1-1-1 | 1/4 1/2 3/4 }

-z+1/4, -x+3/4, y+1/2, +1
-m_z,-m_x,m_y

   0   0  -1   1/4
  -1   0   0   3/4
   0   1   0   1/2

3⁺ (-1/3,1/3,1/3) x+7/12,-x,-x +1

{ 3⁺_1-1-1 | 1/4 3/4 1/2 }

-y+1/4, -z+3/4, x+1/2, +1
-m_y,-m_z,m_x

   0  -1   0   1/4
   0   0  -1   3/4
   1   0   0   1/2

3^- -x-1/2,x+3/4,-x +1

{ 3^-_-11-1 | 1/4 3/4 1/2 }

z, -x+3/4, -y+3/4, +1
m_z,-m_x,-m_y

   0   0   1    0
  -1   0   0   3/4
   0  -1   0   3/4

3⁺ -x,x+3/4,-x +1

{ 3⁺_-11-1 | 0 3/4 3/4 }

y, -z+3/4, -x+3/4, +1
m_y,-m_z,-m_x

   0   1   0    0
   0   0  -1   3/4
  -1   0   0   3/4

3^- -x+3/4,-x+3/4,x +1

{ 3^-_-1-11 | 0 3/4 3/4 }

-z+1/4, x+1/2, -y+3/4, +1
-m_z,m_x,-m_y

   0   0  -1   1/4
   1   0   0   1/2
   0  -1   0   3/4

3⁺ -x+1/4,-x+3/4,x +1

{ 3⁺_-1-11 | 1/4 1/2 3/4 }

-x, -y+1/2, -z+1/2, +1
m_x, m_y, m_z

  -1   0   0    0
   0  -1   0   1/2
   0   0  -1   1/2

-1 0,1/4,1/4 +1

{ -1 | 0 1/2 1/2 }

-x+1/4, z, -y+3/4, +1
m_x, -m_z, m_y

  -1   0   0   1/4
   0   0   1    0
   0  -1   0   3/4

-4⁺ x,3/8,3/8 1/8,3/8,3/8 +1

{ -4⁺₁₀₀ | 1/4 0 3/4 }

-x+1/4, -z+3/4, y, +1
m_x, m_z, -m_y

  -1   0   0   1/4
   0   0  -1   3/4
   0   1   0    0

-4^- x,3/8,3/8 1/8,3/8,3/8 +1

{ -4^-₁₀₀ | 1/4 3/4 0 }

-z+1/4, -y+3/4, x, +1
m_z, m_y, -m_x

   0   0  -1   1/4
   0  -1   0   3/4
   1   0   0    0

-4⁺ 1/8,y,1/8 1/8,3/8,1/8 +1

{ -4⁺₀₁₀ | 1/4 3/4 0 }

z+1/2, -y+3/4, -x+3/4, +1
-m_z, m_y, m_x

   0   0   1   1/2
   0  -1   0   3/4
  -1   0   0   3/4

-4^- 5/8,y,1/8 5/8,3/8,1/8 +1

{ -4^-₀₁₀ | 1/2 3/4 3/4 }

y+1/2, -x+3/4, -z+3/4, +1
-m_y, m_x, m_z

   0   1   0   1/2
  -1   0   0   3/4
   0   0  -1   3/4

-4⁺ 5/8,1/8,z 5/8,1/8,3/8 +1

{ -4⁺₀₀₁ | 1/2 3/4 3/4 }

-y+1/4, x, -z+3/4, +1
m_y, -m_x, m_z

   0  -1   0   1/4
   1   0   0    0
   0   0  -1   3/4

-4^- 1/8,1/8,z 1/8,1/8,3/8 +1

{ -4^-₀₀₁ | 1/4 0 3/4 }

-x, y+3/4, z+3/4, +1
m_x, -m_y, -m_z

  -1   0   0    0
   0   1   0   3/4
   0   0   1   3/4

d (0,3/4,3/4) 0,y,z +1

{ m₁₀₀ | 0 3/4 3/4 }

x+1/4, -y+1/2, z+3/4, +1
-m_x, m_y, -m_z

   1   0   0   1/4
   0  -1   0   1/2
   0   0   1   3/4

d (1/4,0,3/4) x,1/4,z +1

{ m₀₁₀ | 1/4 1/2 3/4 }

x+1/4, y+3/4, -z+1/2, +1
-m_x, -m_y, m_z

   1   0   0   1/4
   0   1   0   3/4
   0   0  -1   1/2

d (1/4,3/4,0) x,y,1/4 +1

{ m₀₀₁ | 1/4 3/4 1/2 }

-y+1/4, -x+3/4, z, +1
m_y, m_x, -m_z

   0  -1   0   1/4
  -1   0   0   3/4
   0   0   1    0

g (-1/4,1/4,0) x+1/2,-x,z +1

{ m₁₁₀ | 1/4 3/4 0 }

y+1/2, x, z, +1
-m_y, -m_x, -m_z

   0   1   0   1/2
   1   0   0    0
   0   0   1    0

g (1/4,1/4,0) x+1/4,x,z +1

{ m_1-10 | 1/2 0 0 }

x+1/2, -z+3/4, -y+3/4, +1
-m_x, m_z, m_y

   1   0   0   1/2
   0   0  -1   3/4
   0  -1   0   3/4

a x,y+3/4,-y +1

{ m₀₁₁ | 1/2 3/4 3/4 }

x+1/2, z, y, +1
-m_x, -m_z, -m_y

   1   0   0   1/2
   0   0   1    0
   0   1   0    0

a x,y,y +1

{ m_01-1 | 1/2 0 0 }

-z+1/4, y, -x+3/4, +1
m_z, -m_y, m_x

   0   0  -1   1/4
   0   1   0    0
  -1   0   0   3/4

g (-1/4,0,1/4) -x+1/2,y,x +1

{ m₁₀₁ | 1/4 0 3/4 }

z+1/2, y, x, +1
-m_z, -m_y, -m_x

   0   0   1   1/2
   0   1   0    0
   1   0   0    0

g (1/4,0,1/4) x+1/4,y,x +1

{ m_-101 | 1/2 0 0 }

-z, -x+1/2, -y+1/2, +1
m_z, m_x, m_y

   0   0  -1    0
  -1   0   0   1/2
   0  -1   0   1/2

-3⁺ x,x+1/2,x 0,1/2,0 +1

{ -3⁺₁₁₁ | 0 1/2 1/2 }

-y, -z+1/2, -x+1/2, +1
m_y, m_z, m_x

   0  -1   0    0
   0   0  -1   1/2
  -1   0   0   1/2

-3^- x-0.5,x-1/2,x 0,0,1/2 +1

{ -3^-₁₁₁ | 0 1/2 1/2 }

y+1/4, -z+1/2, x+3/4, +1
-m_y, m_z, -m_x

   0   1   0   1/4
   0   0  -1   1/2
   1   0   0   3/4

-3^- x+3/4,-x,-x 0,-1/4,3/4 +1

{ -3^-_1-1-1 | 1/4 1/2 3/4 }

z+1/4, x+3/4, -y+1/2, +1
-m_z, -m_x, m_y

   0   0   1   1/4
   1   0   0   3/4
   0  -1   0   1/2

-3⁺ x-0.25,-x+1,-x 0,3/4,-1/4 +1

{ -3⁺_1-1-1 | 1/4 3/4 1/2 }

y+1/4, z+3/4, -x+1/2, +1
-m_y, -m_z, m_x

   0   1   0   1/4
   0   0   1   3/4
  -1   0   0   1/2

-3^- -x+1,x+1/4,-x 3/4,1/2,-1/4 +1

{ -3^-_-11-1 | 1/4 3/4 1/2 }

-z, x+3/4, y+3/4, +1
m_z, -m_x, -m_y

   0   0  -1    0
   1   0   0   3/4
   0   1   0   3/4

-3⁺ -x-3/2,x+3/4,-x -3/4,0,3/4 +1

{ -3⁺_-11-1 | 0 3/4 3/4 }

-y, z+3/4, x+3/4, +1
m_y, -m_z, -m_x

   0  -1   0    0
   0   0   1   3/4
   1   0   0   3/4

-3^- -x-3/4,-x+3/4,x -3/4,3/4,0 +1

{ -3^-_-1-11 | 0 3/4 3/4 }

z+1/4, -x+1/2, y+3/4, +1
-m_z, m_x, -m_y

   0   0   1   1/4
  -1   0   0   1/2
   0   1   0   3/4

-3⁺ -x+5/4,-x+1/4,x 3/4,-1/4,1/2 +1

{ -3⁺_-1-11 | 1/4 1/2 3/4 }

x+1/2, y, z+1/2, +1
m_x,m_y,m_z

   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 }

x+3/4, -z+1/2, y+3/4, +1
m_x,-m_z,m_y

   1   0   0   3/4
   0   0  -1   1/2
   0   1   0   3/4

4⁺ (3/4,0,0) x,-1/8,5/8 +1

{ 4⁺₁₀₀ | 3/4 1/2 3/4 }

x+3/4, z+1/4, -y, +1
m_x,m_z,-m_y

   1   0   0   3/4
   0   0   1   1/4
   0  -1   0    0

4^- (3/4,0,0) x,1/8,-1/8 +1

{ 4^-₁₀₀ | 3/4 1/4 0 }

100

z+3/4, y+1/4, -x, +1
m_z,m_y,-m_x

   0   0   1   3/4
   0   1   0   1/4
  -1   0   0    0

4⁺ (0,1/4,0) 3/8,y,-3/8 +1

{ 4⁺₀₁₀ | 3/4 1/4 0 }

101

-z, y+1/4, x+3/4, +1
-m_z,m_y,m_x

   0   0  -1    0
   0   1   0   1/4
   1   0   0   3/4

4^- (0,1/4,0) -3/8,y,3/8 +1

{ 4^-₀₁₀ | 0 1/4 3/4 }

102

-y, x+1/4, z+3/4, +1
-m_y,m_x,m_z

   0  -1   0    0
   1   0   0   1/4
   0   0   1   3/4

4⁺ (0,0,3/4) -1/8,1/8,z +1

{ 4⁺₀₀₁ | 0 1/4 3/4 }

103

y+3/4, -x+1/2, z+3/4, +1
m_y,-m_x,m_z

   0   1   0   3/4
  -1   0   0   1/2
   0   0   1   3/4

4^- (0,0,3/4) 5/8,-1/8,z +1

{ 4^-₀₀₁ | 3/4 1/2 3/4 }

104

x+1/2, -y+1/4, -z+3/4, +1
m_x,-m_y,-m_z

   1   0   0   1/2
   0  -1   0   1/4
   0   0  -1   3/4

2 (1/2,0,0) x,1/8,3/8 +1

{ 2₁₀₀ | 1/2 1/4 3/4 }

105

-x+3/4, y, -z+3/4, +1
-m_x,m_y,-m_z

  -1   0   0   3/4
   0   1   0    0
   0   0  -1   3/4

2 3/8,y,3/8 +1

{ 2₀₁₀ | 3/4 0 3/4 }

106

-x+3/4, -y+1/4, z+1/2, +1
-m_x,-m_y,m_z

  -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

{ 2₀₀₁ | 3/4 1/4 1/2 }

107

y+3/4, x+1/4, -z, +1
m_y,m_x,-m_z

   0   1   0   3/4
   1   0   0   1/4
   0   0  -1    0

2 (1/2,1/2,0) x,x-1/4,0 +1

{ 2₁₁₀ | 3/4 1/4 0 }

108

-y, -x+1/2, -z, +1
-m_y,-m_x,-m_z

   0  -1   0    0
  -1   0   0   1/2
   0   0  -1    0

2 (-1/4,1/4,0) x,-x+1/4,0 +1

{ 2_1-10 | 0 1/2 0 }

109

-x, z+1/4, y+3/4, +1
-m_x,m_z,m_y

  -1   0   0    0
   0   0   1   1/4
   0   1   0   3/4

2 (0,1/2,1/2) 0,y-1/4,y +1

{ 2₀₁₁ | 0 1/4 3/4 }

110

-x, -z+1/2, -y, +1
-m_x,-m_z,-m_y

  -1   0   0    0
   0   0  -1   1/2
   0  -1   0    0

2 (0,1/4,-1/4) 0,y+1/4,-y +1

{ 2_01-1 | 0 1/2 0 }

111

z+3/4, -y+1/2, x+3/4, +1
m_z,-m_y,m_x

   0   0   1   3/4
   0  -1   0   1/2
   1   0   0   3/4

2 (3/4,0,3/4) x,1/4,x +1

{ 2₁₀₁ | 3/4 1/2 3/4 }

112

-z, -y+1/2, -x, +1
-m_z,-m_y,-m_x

   0   0  -1    0
   0  -1   0   1/2
  -1   0   0    0

2 -x,1/4,x +1

{ 2_-101 | 0 1/2 0 }

113

z+1/2, x, y+1/2, +1
m_z,m_x,m_y

   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

{ 3⁺₁₁₁ | 1/2 0 1/2 }

114

y+1/2, z, x+1/2, +1
m_y,m_z,m_x

   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

{ 3^-₁₁₁ | 1/2 0 1/2 }

115

-y+3/4, z, -x+3/4, +1
-m_y,m_z,-m_x

   0  -1   0   3/4
   0   0   1    0
  -1   0   0   3/4

3^- x+3/4,-x,-x +1

{ 3^-_1-1-1 | 3/4 0 3/4 }

116

-z+3/4, -x+1/4, y+1/2, +1
-m_z,-m_x,m_y

   0   0  -1   3/4
  -1   0   0   1/4
   0   1   0   1/2

3⁺ x+3/4,-x,-x +1

{ 3⁺_1-1-1 | 3/4 1/4 1/2 }

117

-y+3/4, -z+1/4, x+1/2, +1
-m_y,-m_z,m_x

   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

{ 3^-_-11-1 | 3/4 1/4 1/2 }

118

z+1/2, -x+1/4, -y+3/4, +1
m_z,-m_x,-m_y

   0   0   1   1/2
  -1   0   0   1/4
   0  -1   0   3/4

3⁺ (1/3,-1/3,1/3) -x+1/6,x+5/12,-x +1

{ 3⁺_-11-1 | 1/2 1/4 3/4 }

119

y+1/2, -z+1/4, -x+3/4, +1
m_y,-m_z,-m_x

   0   1   0   1/2
   0   0  -1   1/4
  -1   0   0   3/4

3^- -x+3/4,-x+1/4,x +1

{ 3^-_-1-11 | 1/2 1/4 3/4 }

120

-z+3/4, x, -y+3/4, +1
-m_z,m_x,-m_y

   0   0  -1   3/4
   1   0   0    0
   0  -1   0   3/4

3⁺ -x+3/4,-x+3/4,x +1

{ 3⁺_-1-11 | 3/4 0 3/4 }

121

-x+1/2, -y, -z+1/2, +1
m_x, m_y, m_z

  -1   0   0   1/2
   0  -1   0    0
   0   0  -1   1/2

-1 1/4,0,1/4 +1

{ -1 | 1/2 0 1/2 }

122

-x+3/4, z+1/2, -y+3/4, +1
m_x, -m_z, m_y

  -1   0   0   3/4
   0   0   1   1/2
   0  -1   0   3/4

-4⁺ x,5/8,1/8 3/8,5/8,1/8 +1

{ -4⁺₁₀₀ | 3/4 1/2 3/4 }

123

-x+3/4, -z+1/4, y, +1
m_x, m_z, -m_y

  -1   0   0   3/4
   0   0  -1   1/4
   0   1   0    0

-4^- x,1/8,1/8 3/8,1/8,1/8 +1

{ -4^-₁₀₀ | 3/4 1/4 0 }

124

-z+3/4, -y+1/4, x, +1
m_z, m_y, -m_x

   0   0  -1   3/4
   0  -1   0   1/4
   1   0   0    0

-4⁺ 3/8,y,3/8 3/8,1/8,3/8 +1

{ -4⁺₀₁₀ | 3/4 1/4 0 }

125

z, -y+1/4, -x+3/4, +1
-m_z, m_y, m_x

   0   0   1    0
   0  -1   0   1/4
  -1   0   0   3/4

-4^- 3/8,y,3/8 3/8,1/8,3/8 +1

{ -4^-₀₁₀ | 0 1/4 3/4 }

126

y, -x+1/4, -z+3/4, +1
-m_y, m_x, m_z

   0   1   0    0
  -1   0   0   1/4
   0   0  -1   3/4

-4⁺ 1/8,1/8,z 1/8,1/8,3/8 +1

{ -4⁺₀₀₁ | 0 1/4 3/4 }

127

-y+3/4, x+1/2, -z+3/4, +1
m_y, -m_x, m_z

   0  -1   0   3/4
   1   0   0   1/2
   0   0  -1   3/4

-4^- 1/8,5/8,z 1/8,5/8,3/8 +1

{ -4^-₀₀₁ | 3/4 1/2 3/4 }

128

-x+1/2, y+1/4, z+3/4, +1
m_x, -m_y, -m_z

  -1   0   0   1/2
   0   1   0   1/4
   0   0   1   3/4

d (0,1/4,3/4) 1/4,y,z +1

{ m₁₀₀ | 1/2 1/4 3/4 }

129

x+3/4, -y, z+3/4, +1
-m_x, m_y, -m_z

   1   0   0   3/4
   0  -1   0    0
   0   0   1   3/4

d (3/4,0,3/4) x,0,z +1

{ m₀₁₀ | 3/4 0 3/4 }

130

x+3/4, y+1/4, -z+1/2, +1
-m_x, -m_y, m_z

   1   0   0   3/4
   0   1   0   1/4
   0   0  -1   1/2

d (3/4,1/4,0) x,y,1/4 +1

{ m₀₀₁ | 3/4 1/4 1/2 }

131

-y+3/4, -x+1/4, z, +1
m_y, m_x, -m_z

   0  -1   0   3/4
  -1   0   0   1/4
   0   0   1    0

g (1/4,-1/4,0) x+1/2,-x,z +1

{ m₁₁₀ | 3/4 1/4 0 }

132

y, x+1/2, z, +1
-m_y, -m_x, -m_z

   0   1   0    0
   1   0   0   1/2
   0   0   1    0

g (1/4,1/4,0) x-0.25,x,z +1

{ m_1-10 | 0 1/2 0 }

133

x, -z+1/4, -y+3/4, +1
-m_x, m_z, m_y

   1   0   0    0
   0   0  -1   1/4
   0  -1   0   3/4

g (0,-1/4,1/4) x,y+1/2,-y +1

{ m₀₁₁ | 0 1/4 3/4 }

134

x, z+1/2, y, +1
-m_x, -m_z, -m_y

   1   0   0    0
   0   0   1   1/2
   0   1   0    0

g (0,1/4,1/4) x,y+1/4,y +1

{ m_01-1 | 0 1/2 0 }

135

-z+3/4, y+1/2, -x+3/4, +1
m_z, -m_y, m_x

   0   0  -1   3/4
   0   1   0   1/2
  -1   0   0   3/4

b -x+3/4,y,x +1

{ m₁₀₁ | 3/4 1/2 3/4 }

136

z, y+1/2, x, +1
-m_z, -m_y, -m_x

   0   0   1    0
   0   1   0   1/2
   1   0   0    0

b x,y,x +1

{ m_-101 | 0 1/2 0 }

137

-z+1/2, -x, -y+1/2, +1
m_z, m_x, m_y

   0   0  -1   1/2
  -1   0   0    0
   0  -1   0   1/2

-3⁺ x-0.5,x-1/2,x 0,0,1/2 +1

{ -3⁺₁₁₁ | 1/2 0 1/2 }

138

-y+1/2, -z, -x+1/2, +1
m_y, m_z, m_x

   0  -1   0   1/2
   0   0  -1    0
  -1   0   0   1/2

-3^- x+1/2,x,x 1/2,0,0 +1

{ -3^-₁₁₁ | 1/2 0 1/2 }

139

y+3/4, -z, x+3/4, +1
-m_y, m_z, -m_x

   0   1   0   3/4
   0   0  -1    0
   1   0   0   3/4

-3^- x+3/4,-x,-x 0,-3/4,3/4 +1

{ -3^-_1-1-1 | 3/4 0 3/4 }

140

z+3/4, x+1/4, -y+1/2, +1
-m_z, -m_x, m_y

   0   0   1   3/4
   1   0   0   1/4
   0  -1   0   1/2

-3⁺ x+1/4,-x+1,-x 1/2,3/4,-1/4 +1

{ -3⁺_1-1-1 | 3/4 1/4 1/2 }

141

y+3/4, z+1/4, -x+1/2, +1
-m_y, -m_z, m_x

   0   1   0   3/4
   0   0   1   1/4
  -1   0   0   1/2

-3^- -x+1,x-1/4,-x 3/4,0,-1/4 +1

{ -3^-_-11-1 | 3/4 1/4 1/2 }

142

-z+1/2, x+1/4, y+3/4, +1
m_z, -m_x, -m_y

   0   0  -1   1/2
   1   0   0   1/4
   0   1   0   3/4

-3⁺ -x-1,x+3/4,-x -1/4,0,3/4 +1

{ -3⁺_-11-1 | 1/2 1/4 3/4 }

143

-y+1/2, z+1/4, x+3/4, +1
m_y, -m_z, -m_x

   0  -1   0   1/2
   0   0   1   1/4
   1   0   0   3/4

-3^- -x+1/4,-x+5/4,x -1/4,3/4,1/2 +1

{ -3^-_-1-11 | 1/2 1/4 3/4 }

144

z+3/4, -x, y+3/4, +1
-m_z, m_x, -m_y

   0   0   1   3/4
  -1   0   0    0
   0   1   0   3/4

-3⁺ -x+3/4,-x,x 3/4,-3/4,0 +1

{ -3⁺_-1-11 | 3/4 0 3/4 }

145

x+1/2, y+1/2, z, +1
m_x,m_y,m_z

   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 }

146

x+3/4, -z, y+1/4, +1
m_x,-m_z,m_y

   1   0   0   3/4
   0   0  -1    0
   0   1   0   1/4

4⁺ (3/4,0,0) x,-1/8,1/8 +1

{ 4⁺₁₀₀ | 3/4 0 1/4 }

147

x+3/4, z+3/4, -y+1/2, +1
m_x,m_z,-m_y

   1   0   0   3/4
   0   0   1   3/4
   0  -1   0   1/2

4^- (3/4,0,0) x,5/8,-1/8 +1

{ 4^-₁₀₀ | 3/4 3/4 1/2 }

148

z+3/4, y+3/4, -x+1/2, +1
m_z,m_y,-m_x

   0   0   1   3/4
   0   1   0   3/4
  -1   0   0   1/2

4⁺ (0,3/4,0) 5/8,y,-1/8 +1

{ 4⁺₀₁₀ | 3/4 3/4 1/2 }

149

-z, y+3/4, x+1/4, +1
-m_z,m_y,m_x

   0   0  -1    0
   0   1   0   3/4
   1   0   0   1/4

4^- (0,3/4,0) -1/8,y,1/8 +1

{ 4^-₀₁₀ | 0 3/4 1/4 }

150

-y, x+3/4, z+1/4, +1
-m_y,m_x,m_z

   0  -1   0    0
   1   0   0   3/4
   0   0   1   1/4

4⁺ (0,0,1/4) -3/8,3/8,z +1

{ 4⁺₀₀₁ | 0 3/4 1/4 }

151

y+3/4, -x, z+1/4, +1
m_y,-m_x,m_z

   0   1   0   3/4
  -1   0   0    0
   0   0   1   1/4

4^- (0,0,1/4) 3/8,-3/8,z +1

{ 4^-₀₀₁ | 3/4 0 1/4 }

152

x+1/2, -y+3/4, -z+1/4, +1
m_x,-m_y,-m_z

   1   0   0   1/2
   0  -1   0   3/4
   0   0  -1   1/4

2 (1/2,0,0) x,3/8,1/8 +1

{ 2₁₀₀ | 1/2 3/4 1/4 }

153

-x+3/4, y+1/2, -z+1/4, +1
-m_x,m_y,-m_z

  -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

{ 2₀₁₀ | 3/4 1/2 1/4 }

154

-x+3/4, -y+3/4, z, +1
-m_x,-m_y,m_z

  -1   0   0   3/4
   0  -1   0   3/4
   0   0   1    0

2 3/8,3/8,z +1

{ 2₀₀₁ | 3/4 3/4 0 }

155

y+3/4, x+3/4, -z+1/2, +1
m_y,m_x,-m_z

   0   1   0   3/4
   1   0   0   3/4
   0   0  -1   1/2

2 (3/4,3/4,0) x,x,1/4 +1

{ 2₁₁₀ | 3/4 3/4 1/2 }

156

-y, -x, -z+1/2, +1
-m_y,-m_x,-m_z

   0  -1   0    0
  -1   0   0    0
   0   0  -1   1/2

2 x,-x,1/4 +1

{ 2_1-10 | 0 0 1/2 }

157

-x, z+3/4, y+1/4, +1
-m_x,m_z,m_y

  -1   0   0    0
   0   0   1   3/4
   0   1   0   1/4

2 (0,1/2,1/2) 0,y+1/4,y +1

{ 2₀₁₁ | 0 3/4 1/4 }

158

-x, -z, -y+1/2, +1
-m_x,-m_z,-m_y

  -1   0   0    0
   0   0  -1    0
   0  -1   0   1/2

2 (0,-1/4,1/4) 0,y+1/4,-y +1

{ 2_01-1 | 0 0 1/2 }

159

z+3/4, -y, x+1/4, +1
m_z,-m_y,m_x

   0   0   1   3/4
   0  -1   0    0
   1   0   0   1/4

2 (1/2,0,1/2) x+1/4,0,x +1

{ 2₁₀₁ | 3/4 0 1/4 }

160

-z, -y, -x+1/2, +1
-m_z,-m_y,-m_x

   0   0  -1    0
   0  -1   0    0
  -1   0   0   1/2

2 (-1/4,0,1/4) -x+1/4,0,x +1

{ 2_-101 | 0 0 1/2 }

161

z+1/2, x+1/2, y, +1
m_z,m_x,m_y

   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

{ 3⁺₁₁₁ | 1/2 1/2 0 }

162

y+1/2, z+1/2, x, +1
m_y,m_z,m_x

   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

{ 3^-₁₁₁ | 1/2 1/2 0 }

163

-y+3/4, z+1/2, -x+1/4, +1
-m_y,m_z,-m_x

   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^-_1-1-1 | 3/4 1/2 1/4 }

164

-z+3/4, -x+3/4, y, +1
-m_z,-m_x,m_y

   0   0  -1   3/4
  -1   0   0   3/4
   0   1   0    0

3⁺ x+3/4,-x,-x +1

{ 3⁺_1-1-1 | 3/4 3/4 0 }

165

-y+3/4, -z+3/4, x, +1
-m_y,-m_z,m_x

   0  -1   0   3/4
   0   0  -1   3/4
   1   0   0    0

3^- -x,x+3/4,-x +1

{ 3^-_-11-1 | 3/4 3/4 0 }

166

z+1/2, -x+3/4, -y+1/4, +1
m_z,-m_x,-m_y

   0   0   1   1/2
  -1   0   0   3/4
   0  -1   0   1/4

3⁺ -x+1/2,x+1/4,-x +1

{ 3⁺_-11-1 | 1/2 3/4 1/4 }

167

y+1/2, -z+3/4, -x+1/4, +1
m_y,-m_z,-m_x

   0   1   0   1/2
   0   0  -1   3/4
  -1   0   0   1/4

3^- (1/3,1/3,-1/3) -x+7/12,-x+5/12,x +1

{ 3^-_-1-11 | 1/2 3/4 1/4 }

168

-z+3/4, x+1/2, -y+1/4, +1
-m_z,m_x,-m_y

   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

{ 3⁺_-1-11 | 3/4 1/2 1/4 }

169

-x+1/2, -y+1/2, -z, +1
m_x, m_y, m_z

  -1   0   0   1/2
   0  -1   0   1/2
   0   0  -1    0

-1 1/4,1/4,0 +1

{ -1 | 1/2 1/2 0 }

170

-x+3/4, z, -y+1/4, +1
m_x, -m_z, m_y

  -1   0   0   3/4
   0   0   1    0
   0  -1   0   1/4

-4⁺ x,1/8,1/8 3/8,1/8,1/8 +1

{ -4⁺₁₀₀ | 3/4 0 1/4 }

171

-x+3/4, -z+3/4, y+1/2, +1
m_x, m_z, -m_y

  -1   0   0   3/4
   0   0  -1   3/4
   0   1   0   1/2

-4^- x,1/8,5/8 3/8,1/8,5/8 +1

{ -4^-₁₀₀ | 3/4 3/4 1/2 }

172

-z+3/4, -y+3/4, x+1/2, +1
m_z, m_y, -m_x

   0   0  -1   3/4
   0  -1   0   3/4
   1   0   0   1/2

-4⁺ 1/8,y,5/8 1/8,3/8,5/8 +1

{ -4⁺₀₁₀ | 3/4 3/4 1/2 }

173

z, -y+3/4, -x+1/4, +1
-m_z, m_y, m_x

   0   0   1    0
   0  -1   0   3/4
  -1   0   0   1/4

-4^- 1/8,y,1/8 1/8,3/8,1/8 +1

{ -4^-₀₁₀ | 0 3/4 1/4 }

174

y, -x+3/4, -z+1/4, +1
-m_y, m_x, m_z

   0   1   0    0
  -1   0   0   3/4
   0   0  -1   1/4

-4⁺ 3/8,3/8,z 3/8,3/8,1/8 +1

{ -4⁺₀₀₁ | 0 3/4 1/4 }

175

-y+3/4, x, -z+1/4, +1
m_y, -m_x, m_z

   0  -1   0   3/4
   1   0   0    0
   0   0  -1   1/4

-4^- 3/8,3/8,z 3/8,3/8,1/8 +1

{ -4^-₀₀₁ | 3/4 0 1/4 }

176

-x+1/2, y+3/4, z+1/4, +1
m_x, -m_y, -m_z

  -1   0   0   1/2
   0   1   0   3/4
   0   0   1   1/4

d (0,3/4,1/4) 1/4,y,z +1

{ m₁₀₀ | 1/2 3/4 1/4 }

177

x+3/4, -y+1/2, z+1/4, +1
-m_x, m_y, -m_z

   1   0   0   3/4
   0  -1   0   1/2
   0   0   1   1/4

d (3/4,0,1/4) x,1/4,z +1

{ m₀₁₀ | 3/4 1/2 1/4 }

178

x+3/4, y+3/4, -z, +1
-m_x, -m_y, m_z

   1   0   0   3/4
   0   1   0   3/4
   0   0  -1    0

d (3/4,3/4,0) x,y,0 +1

{ m₀₀₁ | 3/4 3/4 0 }

179

-y+3/4, -x+3/4, z+1/2, +1
m_y, m_x, -m_z

   0  -1   0   3/4
  -1   0   0   3/4
   0   0   1   1/2

c x+3/4,-x,z +1

{ m₁₁₀ | 3/4 3/4 1/2 }

180

y, x, z+1/2, +1
-m_y, -m_x, -m_z

   0   1   0    0
   1   0   0    0
   0   0   1   1/2

c x,x,z +1

{ m_1-10 | 0 0 1/2 }

181

x, -z+3/4, -y+1/4, +1
-m_x, m_z, m_y

   1   0   0    0
   0   0  -1   3/4
   0  -1   0   1/4

g (0,1/4,-1/4) x,y+1/2,-y +1

{ m₀₁₁ | 0 3/4 1/4 }

182

x, z, y+1/2, +1
-m_x, -m_z, -m_y

   1   0   0    0
   0   0   1    0
   0   1   0   1/2

g (0,1/4,1/4) x,y-1/4,y +1

{ m_01-1 | 0 0 1/2 }

183

-z+3/4, y, -x+1/4, +1
m_z, -m_y, m_x

   0   0  -1   3/4
   0   1   0    0
  -1   0   0   1/4

g (1/4,0,-1/4) -x+1/2,y,x +1

{ m₁₀₁ | 3/4 0 1/4 }

184

z, y, x+1/2, +1
-m_z, -m_y, -m_x

   0   0   1    0
   0   1   0    0
   1   0   0   1/2

g (1/4,0,1/4) x-0.25,y,x +1

{ m_-101 | 0 0 1/2 }

185

-z+1/2, -x+1/2, -y, +1
m_z, m_x, m_y

   0   0  -1   1/2
  -1   0   0   1/2
   0  -1   0    0

-3⁺ x+1/2,x,x 1/2,0,0 +1

{ -3⁺₁₁₁ | 1/2 1/2 0 }

186

-y+1/2, -z+1/2, -x, +1
m_y, m_z, m_x

   0  -1   0   1/2
   0   0  -1   1/2
  -1   0   0    0

-3^- x,x+1/2,x 0,1/2,0 +1

{ -3^-₁₁₁ | 1/2 1/2 0 }

187

y+3/4, -z+1/2, x+1/4, +1
-m_y, m_z, -m_x

   0   1   0   3/4
   0   0  -1   1/2
   1   0   0   1/4

-3^- x+5/4,-x,-x 1/2,-1/4,3/4 +1

{ -3^-_1-1-1 | 3/4 1/2 1/4 }

188

z+3/4, x+3/4, -y, +1
-m_z, -m_x, m_y

   0   0   1   3/4
   1   0   0   3/4
   0  -1   0    0

-3⁺ x-0.75,-x+3/2,-x 0,3/4,-3/4 +1

{ -3⁺_1-1-1 | 3/4 3/4 0 }

189

y+3/4, z+3/4, -x, +1
-m_y, -m_z, m_x

   0   1   0   3/4
   0   0   1   3/4
  -1   0   0    0

-3^- -x+3/2,x-3/4,-x 3/4,0,-3/4 +1

{ -3^-_-11-1 | 3/4 3/4 0 }

190

-z+1/2, x+3/4, y+1/4, +1
m_z, -m_x, -m_y

   0   0  -1   1/2
   1   0   0   3/4
   0   1   0   1/4

-3⁺ -x-1,x+5/4,-x -1/4,1/2,3/4 +1

{ -3⁺_-11-1 | 1/2 3/4 1/4 }

191

-y+1/2, z+3/4, x+1/4, +1
m_y, -m_z, -m_x

   0  -1   0   1/2
   0   0   1   3/4
   1   0   0   1/4

-3^- -x-1/4,-x+3/4,x -1/4,3/4,0 +1

{ -3^-_-1-11 | 1/2 3/4 1/4 }

192

z+3/4, -x+1/2, y+1/4, +1
-m_z, m_x, -m_y

   0   0   1   3/4
  -1   0   0   1/2
   0   1   0   1/4

-3⁺ -x+3/4,-x,x 3/4,-1/4,0 +1

{ -3⁺_-1-11 | 3/4 1/2 1/4 }

193

x, y, z+1/2, -1
-m_x,-m_y,-m_z

   1   0   0    0
   0   1   0    0
   0   0   1   1/2

t (0,0,1/2) -1

{ 1' | 0 0 1/2 }

194

x+1/4, -z+1/2, y+3/4, -1
-m_x, m_z, -m_y

   1   0   0   1/4
   0   0  -1   1/2
   0   1   0   3/4

4⁺ (1/4,0,0) x,-1/8,5/8 -1

{ 4'⁺₁₀₀ | 1/4 1/2 3/4 }

195

x+1/4, z+1/4, -y, -1
-m_x,-m_z,m_y

   1   0   0   1/4
   0   0   1   1/4
   0  -1   0    0

4^- (1/4,0,0) x,1/8,-1/8 -1

{ 4'^-₁₀₀ | 1/4 1/4 0 }

196

z+1/4, y+1/4, -x, -1
-m_z,-m_y,m_x

   0   0   1   1/4
   0   1   0   1/4
  -1   0   0    0

4⁺ (0,1/4,0) 1/8,y,-1/8 -1

{ 4'⁺₀₁₀ | 1/4 1/4 0 }

197

-z+1/2, y+1/4, x+3/4, -1
m_z, -m_y, -m_x

   0   0  -1   1/2
   0   1   0   1/4
   1   0   0   3/4

4^- (0,1/4,0) -1/8,y,5/8 -1

{ 4'^-₀₁₀ | 1/2 1/4 3/4 }

198

-y+1/2, x+1/4, z+3/4, -1
m_y, -m_x, -m_z

   0  -1   0   1/2
   1   0   0   1/4
   0   0   1   3/4

4⁺ (0,0,3/4) 1/8,3/8,z -1

{ 4'⁺₀₀₁ | 1/2 1/4 3/4 }

199

y+1/4, -x+1/2, z+3/4, -1
-m_y, m_x, -m_z

   0   1   0   1/4
  -1   0   0   1/2
   0   0   1   3/4

4^- (0,0,3/4) 3/8,1/8,z -1

{ 4'^-₀₀₁ | 1/4 1/2 3/4 }

200

x, -y+1/4, -z+3/4, -1
-m_x, m_y, m_z

   1   0   0    0
   0  -1   0   1/4
   0   0  -1   3/4

2 x,1/8,3/8 -1

{ 2'₁₀₀ | 0 1/4 3/4 }

201

-x+1/4, y, -z+3/4, -1
m_x, -m_y, m_z

  -1   0   0   1/4
   0   1   0    0
   0   0  -1   3/4

2 1/8,y,3/8 -1

{ 2'₀₁₀ | 1/4 0 3/4 }

202

-x+1/4, -y+1/4, z+1/2, -1
m_x,m_y,-m_z

  -1   0   0   1/4
   0  -1   0   1/4
   0   0   1   1/2

2 (0,0,1/2) 1/8,1/8,z -1

{ 2'₀₀₁ | 1/4 1/4 1/2 }

203

y+1/4, x+1/4, -z, -1
-m_y,-m_x,m_z

   0   1   0   1/4
   1   0   0   1/4
   0   0  -1    0

2 (1/4,1/4,0) x,x,0 -1

{ 2'₁₁₀ | 1/4 1/4 0 }

204

-y+1/2, -x+1/2, -z, -1
m_y, m_x, m_z

   0  -1   0   1/2
  -1   0   0   1/2
   0   0  -1    0

2 x,-x+1/2,0 -1

{ 2'_1-10 | 1/2 1/2 0 }

205

-x+1/2, z+1/4, y+3/4, -1
m_x, -m_z, -m_y

  -1   0   0   1/2
   0   0   1   1/4
   0   1   0   3/4

2 (0,1/2,1/2) 1/4,y-1/4,y -1

{ 2'₀₁₁ | 1/2 1/4 3/4 }

206

-x+1/2, -z+1/2, -y, -1
m_x, m_z, m_y

  -1   0   0   1/2
   0   0  -1   1/2
   0  -1   0    0

2 (0,1/4,-1/4) 1/4,y+1/4,-y -1

{ 2'_01-1 | 1/2 1/2 0 }

207

z+1/4, -y+1/2, x+3/4, -1
-m_z, m_y, -m_x

   0   0   1   1/4
   0  -1   0   1/2
   1   0   0   3/4

2 (1/2,0,1/2) x-0.25,1/4,x -1

{ 2'₁₀₁ | 1/4 1/2 3/4 }

208

-z+1/2, -y+1/2, -x, -1
m_z, m_y, m_x

   0   0  -1   1/2
   0  -1   0   1/2
  -1   0   0    0

2 (1/4,0,-1/4) -x+1/4,1/4,x -1

{ 2'_-101 | 1/2 1/2 0 }

209

z, x, y+1/2, -1
-m_z, -m_x, -m_y

   0   0   1    0
   1   0   0    0
   0   1   0   1/2

3⁺ (1/6,1/6,1/6) x-0.16666,x-1/3,x -1

{ 3'⁺₁₁₁ | 0 0 1/2 }

210

y, z, x+1/2, -1
-m_y, -m_z, -m_x

   0   1   0    0
   0   0   1    0
   1   0   0   1/2

3^- (1/6,1/6,1/6) x-0.33333,x-1/6,x -1

{ 3'^-₁₁₁ | 0 0 1/2 }

211

-y+1/4, z, -x+3/4, -1
m_y, -m_z, m_x

   0  -1   0   1/4
   0   0   1    0
  -1   0   0   3/4

3^- (-1/6,1/6,1/6) x+7/12,-x,-x -1

{ 3'^-_1-1-1 | 1/4 0 3/4 }

212

-z+1/4, -x+1/4, y+1/2, -1
m_z,m_x,-m_y

   0   0  -1   1/4
  -1   0   0   1/4
   0   1   0   1/2

3⁺ (-1/6,1/6,1/6) x+5/12,-x,-x -1

{ 3'⁺_1-1-1 | 1/4 1/4 1/2 }

213

-y+1/4, -z+1/4, x+1/2, -1
m_y,m_z,-m_x

   0  -1   0   1/4
   0   0  -1   1/4
   1   0   0   1/2

3^- (1/6,-1/6,1/6) -x-1/3,x+5/12,-x -1

{ 3'^-_-11-1 | 1/4 1/4 1/2 }

214

z, -x+1/4, -y+3/4, -1
-m_z, m_x, m_y

   0   0   1    0
  -1   0   0   1/4
   0  -1   0   3/4

3⁺ (1/6,-1/6,1/6) -x-1/6,x+7/12,-x -1

{ 3'⁺_-11-1 | 0 1/4 3/4 }

215

y, -z+1/4, -x+3/4, -1
-m_y, m_z, m_x

   0   1   0    0
   0   0  -1   1/4
  -1   0   0   3/4

3^- (-1/6,-1/6,1/6) -x+7/12,-x+5/12,x -1

{ 3'^-_-1-11 | 0 1/4 3/4 }

216

-z+1/4, x, -y+3/4, -1
m_z, -m_x, m_y

   0   0  -1   1/4
   1   0   0    0
   0  -1   0   3/4

3⁺ (-1/6,-1/6,1/6) -x+5/12,-x+7/12,x -1

{ 3'⁺_-1-11 | 1/4 0 3/4 }

217

-x, -y, -z+1/2, -1
-m_x,-m_y,-m_z

  -1   0   0    0
   0  -1   0    0
   0   0  -1   1/2

-1 0,0,1/4 -1

{ -1' | 0 0 1/2 }

218

-x+1/4, z+1/2, -y+3/4, -1
-m_x,m_z,-m_y

  -1   0   0   1/4
   0   0   1   1/2
   0  -1   0   3/4

-4⁺ x,5/8,1/8 1/8,5/8,1/8 -1

{ -4'⁺₁₀₀ | 1/4 1/2 3/4 }

219

-x+1/4, -z+1/4, y, -1
-m_x,-m_z,m_y

  -1   0   0   1/4
   0   0  -1   1/4
   0   1   0    0

-4^- x,1/8,1/8 1/8,1/8,1/8 -1

{ -4'^-₁₀₀ | 1/4 1/4 0 }

220

-z+1/4, -y+1/4, x, -1
-m_z,-m_y,m_x

   0   0  -1   1/4
   0  -1   0   1/4
   1   0   0    0

-4⁺ 1/8,y,1/8 1/8,1/8,1/8 -1

{ -4'⁺₀₁₀ | 1/4 1/4 0 }

221

z+1/2, -y+1/4, -x+3/4, -1
m_z,-m_y,-m_x

   0   0   1   1/2
   0  -1   0   1/4
  -1   0   0   3/4

-4^- 5/8,y,1/8 5/8,1/8,1/8 -1

{ -4'^-₀₁₀ | 1/2 1/4 3/4 }

222

y+1/2, -x+1/4, -z+3/4, -1
m_y,-m_x,-m_z

   0   1   0   1/2
  -1   0   0   1/4
   0   0  -1   3/4

-4⁺ 3/8,-1/8,z 3/8,-1/8,3/8 -1

{ -4'⁺₀₀₁ | 1/2 1/4 3/4 }

223

-y+1/4, x+1/2, -z+3/4, -1
-m_y,m_x,-m_z

   0  -1   0   1/4
   1   0   0   1/2
   0   0  -1   3/4

-4^- -1/8,3/8,z -1/8,3/8,3/8 -1

{ -4'^-₀₀₁ | 1/4 1/2 3/4 }

224

-x, y+1/4, z+3/4, -1
-m_x,m_y,m_z

  -1   0   0    0
   0   1   0   1/4
   0   0   1   3/4

d (0,1/4,3/4) 0,y,z -1

{ m'₁₀₀ | 0 1/4 3/4 }

225

x+1/4, -y, z+3/4, -1
m_x,-m_y,m_z

   1   0   0   1/4
   0  -1   0    0
   0   0   1   3/4

d (1/4,0,3/4) x,0,z -1

{ m'₀₁₀ | 1/4 0 3/4 }

226

x+1/4, y+1/4, -z+1/2, -1
m_x,m_y,-m_z

   1   0   0   1/4
   0   1   0   1/4
   0   0  -1   1/2

d (1/4,1/4,0) x,y,1/4 -1

{ m'₀₀₁ | 1/4 1/4 1/2 }

227

-y+1/4, -x+1/4, z, -1
-m_y,-m_x,m_z

   0  -1   0   1/4
  -1   0   0   1/4
   0   0   1    0

m x+1/4,-x,z -1

{ m'₁₁₀ | 1/4 1/4 0 }

228

y+1/2, x+1/2, z, -1
m_y,m_x,m_z

   0   1   0   1/2
   1   0   0   1/2
   0   0   1    0

g (1/2,1/2,0) x,x,z -1

{ m'_1-10 | 1/2 1/2 0 }

229

x+1/2, -z+1/4, -y+3/4, -1
m_x,-m_z,-m_y

   1   0   0   1/2
   0   0  -1   1/4
   0  -1   0   3/4

g (1/2,-1/4,1/4) x,y+1/2,-y -1

{ m'₀₁₁ | 1/2 1/4 3/4 }

230

x+1/2, z+1/2, y, -1
m_x,m_z,m_y

   1   0   0   1/2
   0   0   1   1/2
   0   1   0    0

g (1/2,1/4,1/4) x,y+1/4,y -1

{ m'_01-1 | 1/2 1/2 0 }

231

-z+1/4, y+1/2, -x+3/4, -1
-m_z,m_y,-m_x

   0   0  -1   1/4
   0   1   0   1/2
  -1   0   0   3/4

g (-1/4,1/2,1/4) -x+1/2,y,x -1

{ m'₁₀₁ | 1/4 1/2 3/4 }

232

z+1/2, y+1/2, x, -1
m_z,m_y,m_x

   0   0   1   1/2
   0   1   0   1/2
   1   0   0    0

g (1/4,1/2,1/4) x+1/4,y,x -1

{ m'_-101 | 1/2 1/2 0 }

233

-z, -x, -y+1/2, -1
-m_z,-m_x,-m_y

   0   0  -1    0
  -1   0   0    0
   0  -1   0   1/2

-3⁺ x-0.5,x,x -1/4,1/4,1/4 -1

{ -3'⁺₁₁₁ | 0 0 1/2 }

234

-y, -z, -x+1/2, -1
-m_y,-m_z,-m_x

   0  -1   0    0
   0   0  -1    0
  -1   0   0   1/2

-3^- x,x-1/2,x 1/4,-1/4,1/4 -1

{ -3'^-₁₁₁ | 0 0 1/2 }

235

y+1/4, -z, x+3/4, -1
m_y,-m_z,m_x

   0   1   0   1/4
   0   0  -1    0
   1   0   0   3/4

-3^- x+1/4,-x,-x -1/4,-1/2,1/2 -1

{ -3'^-_1-1-1 | 1/4 0 3/4 }

236

z+1/4, x+1/4, -y+1/2, -1
m_z,m_x,-m_y

   0   0   1   1/4
   1   0   0   1/4
   0  -1   0   1/2

-3⁺ x+1/4,-x+1/2,-x 1/4,1/2,0 -1

{ -3'⁺_1-1-1 | 1/4 1/4 1/2 }

237

y+1/4, z+1/4, -x+1/2, -1
m_y,m_z,-m_x

   0   1   0   1/4
   0   0   1   1/4
  -1   0   0   1/2

-3^- -x+1/2,x+1/4,-x 1/2,1/4,0 -1

{ -3'^-_-11-1 | 1/4 1/4 1/2 }

238

-z, x+1/4, y+3/4, -1
-m_z,m_x,m_y

   0   0  -1    0
   1   0   0   1/4
   0   1   0   3/4

-3⁺ -x-1,x+1/4,-x -1/2,-1/4,1/2 -1

{ -3'⁺_-11-1 | 0 1/4 3/4 }

239

-y, z+1/4, x+3/4, -1
-m_y,m_z,m_x

   0  -1   0    0
   0   0   1   1/4
   1   0   0   3/4

-3^- -x-1/4,-x+3/4,x -1/2,1/2,1/4 -1

{ -3'^-_-1-11 | 0 1/4 3/4 }

240

z+1/4, -x, y+3/4, -1
m_z,-m_x,m_y

   0   0   1   1/4
  -1   0   0    0
   0   1   0   3/4

-3⁺ -x+3/4,-x,x 1/2,-1/2,1/4 -1

{ -3'⁺_-1-11 | 1/4 0 3/4 }

241

x, y+1/2, z, -1
-m_x, -m_y, -m_z

   1   0   0    0
   0   1   0   1/2
   0   0   1    0

t (0,1/2,0) -1

{ 1' | 0 1/2 0 }

242

x+1/4, -z, y+1/4, -1
-m_x,m_z,-m_y

   1   0   0   1/4
   0   0  -1    0
   0   1   0   1/4

4⁺ (1/4,0,0) x,-1/8,1/8 -1

{ 4'⁺₁₀₀ | 1/4 0 1/4 }

243

x+1/4, z+3/4, -y+1/2, -1
-m_x, -m_z, m_y

   1   0   0   1/4
   0   0   1   3/4
   0  -1   0   1/2

4^- (1/4,0,0) x,5/8,-1/8 -1

{ 4'^-₁₀₀ | 1/4 3/4 1/2 }

244

z+1/4, y+3/4, -x+1/2, -1
-m_z, -m_y, m_x

   0   0   1   1/4
   0   1   0   3/4
  -1   0   0   1/2

4⁺ (0,3/4,0) 3/8,y,1/8 -1

{ 4'⁺₀₁₀ | 1/4 3/4 1/2 }

245

-z+1/2, y+3/4, x+1/4, -1
m_z, -m_y, -m_x

   0   0  -1   1/2
   0   1   0   3/4
   1   0   0   1/4

4^- (0,3/4,0) 1/8,y,3/8 -1

{ 4'^-₀₁₀ | 1/2 3/4 1/4 }

246

-y+1/2, x+3/4, z+1/4, -1
m_y, -m_x, -m_z

   0  -1   0   1/2
   1   0   0   3/4
   0   0   1   1/4

4⁺ (0,0,1/4) -1/8,5/8,z -1

{ 4'⁺₀₀₁ | 1/2 3/4 1/4 }

247

y+1/4, -x, z+1/4, -1
-m_y,m_x,-m_z

   0   1   0   1/4
  -1   0   0    0
   0   0   1   1/4

4^- (0,0,1/4) 1/8,-1/8,z -1

{ 4'^-₀₀₁ | 1/4 0 1/4 }

248

x, -y+3/4, -z+1/4, -1
-m_x, m_y, m_z

   1   0   0    0
   0  -1   0   3/4
   0   0  -1   1/4

2 x,3/8,1/8 -1

{ 2'₁₀₀ | 0 3/4 1/4 }

249

-x+1/4, y+1/2, -z+1/4, -1
m_x,-m_y,m_z

  -1   0   0   1/4
   0   1   0   1/2
   0   0  -1   1/4

2 (0,1/2,0) 1/8,y,1/8 -1

{ 2'₀₁₀ | 1/4 1/2 1/4 }

250

-x+1/4, -y+3/4, z, -1
m_x, m_y, -m_z

  -1   0   0   1/4
   0  -1   0   3/4
   0   0   1    0

2 1/8,3/8,z -1

{ 2'₀₀₁ | 1/4 3/4 0 }

251

y+1/4, x+3/4, -z+1/2, -1
-m_y, -m_x, m_z

   0   1   0   1/4
   1   0   0   3/4
   0   0  -1   1/2

2 (1/2,1/2,0) x,x+1/4,1/4 -1

{ 2'₁₁₀ | 1/4 3/4 1/2 }

252

-y+1/2, -x, -z+1/2, -1
m_y, m_x, m_z

   0  -1   0   1/2
  -1   0   0    0
   0   0  -1   1/2

2 (1/4,-1/4,0) x,-x+1/4,1/4 -1

{ 2'_1-10 | 1/2 0 1/2 }

253

-x+1/2, z+3/4, y+1/4, -1
m_x, -m_z, -m_y

  -1   0   0   1/2
   0   0   1   3/4
   0   1   0   1/4

2 (0,1/2,1/2) 1/4,y+1/4,y -1

{ 2'₀₁₁ | 1/2 3/4 1/4 }

254

-x+1/2, -z, -y+1/2, -1
m_x, m_z, m_y

  -1   0   0   1/2
   0   0  -1    0
   0  -1   0   1/2

2 (0,-1/4,1/4) 1/4,y+1/4,-y -1

{ 2'_01-1 | 1/2 0 1/2 }

255

z+1/4, -y, x+1/4, -1
-m_z,m_y,-m_x

   0   0   1   1/4
   0  -1   0    0
   1   0   0   1/4

2 (1/4,0,1/4) x,0,x -1

{ 2'₁₀₁ | 1/4 0 1/4 }

256

-z+1/2, -y, -x+1/2, -1
m_z, m_y, m_x

   0   0  -1   1/2
   0  -1   0    0
  -1   0   0   1/2

2 -x+1/2,0,x -1

{ 2'_-101 | 1/2 0 1/2 }

257

z, x+1/2, y, -1
-m_z, -m_x, -m_y

   0   0   1    0
   1   0   0   1/2
   0   1   0    0

3⁺ (1/6,1/6,1/6) x-0.16667,x+1/6,x -1

{ 3'⁺₁₁₁ | 0 1/2 0 }

258

y, z+1/2, x, -1
-m_y, -m_z, -m_x

   0   1   0    0
   0   0   1   1/2
   1   0   0    0

3^- (1/6,1/6,1/6) x+1/6,x+1/3,x -1

{ 3'^-₁₁₁ | 0 1/2 0 }

259

-y+1/4, z+1/2, -x+1/4, -1
m_y,-m_z,m_x

   0  -1   0   1/4
   0   0   1   1/2
  -1   0   0   1/4

3^- (-1/6,1/6,1/6) x+1/12,-x+1/3,-x -1

{ 3'^-_1-1-1 | 1/4 1/2 1/4 }

260

-z+1/4, -x+3/4, y, -1
m_z, m_x, -m_y

   0   0  -1   1/4
  -1   0   0   3/4
   0   1   0    0

3⁺ (-1/6,1/6,1/6) x+5/12,-x+1/6,-x -1

{ 3'⁺_1-1-1 | 1/4 3/4 0 }

261

-y+1/4, -z+3/4, x, -1
m_y, m_z, -m_x

   0  -1   0   1/4
   0   0  -1   3/4
   1   0   0    0

3^- (-1/6,1/6,-1/6) -x-1/6,x+7/12,-x -1

{ 3'^-_-11-1 | 1/4 3/4 0 }

262

z, -x+3/4, -y+1/4, -1
-m_z, m_x, m_y

   0   0   1    0
  -1   0   0   3/4
   0  -1   0   1/4

3⁺ (-1/6,1/6,-1/6) -x+1/6,x+5/12,-x -1

{ 3'⁺_-11-1 | 0 3/4 1/4 }

263

y, -z+3/4, -x+1/4, -1
-m_y, m_z, m_x

   0   1   0    0
   0   0  -1   3/4
  -1   0   0   1/4

3^- (1/6,1/6,-1/6) -x+5/12,-x+7/12,x -1

{ 3'^-_-1-11 | 0 3/4 1/4 }

264

-z+1/4, x+1/2, -y+1/4, -1
m_z,-m_x,m_y

   0   0  -1   1/4
   1   0   0   1/2
   0  -1   0   1/4

3⁺ (1/6,1/6,-1/6) -x+1/12,-x+5/12,x -1

{ 3'⁺_-1-11 | 1/4 1/2 1/4 }

265

-x, -y+1/2, -z, -1
-m_x,-m_y,-m_z

  -1   0   0    0
   0  -1   0   1/2
   0   0  -1    0

-1 0,1/4,0 -1

{ -1' | 0 1/2 0 }

266

-x+1/4, z, -y+1/4, -1
-m_x,m_z,-m_y

  -1   0   0   1/4
   0   0   1    0
   0  -1   0   1/4

-4⁺ x,1/8,1/8 1/8,1/8,1/8 -1

{ -4'⁺₁₀₀ | 1/4 0 1/4 }

267

-x+1/4, -z+3/4, y+1/2, -1
-m_x,-m_z,m_y

  -1   0   0   1/4
   0   0  -1   3/4
   0   1   0   1/2

-4^- x,1/8,5/8 1/8,1/8,5/8 -1

{ -4'^-₁₀₀ | 1/4 3/4 1/2 }

268

-z+1/4, -y+3/4, x+1/2, -1
-m_z,-m_y,m_x

   0   0  -1   1/4
   0  -1   0   3/4
   1   0   0   1/2

-4⁺ -1/8,y,3/8 -1/8,3/8,3/8 -1

{ -4'⁺₀₁₀ | 1/4 3/4 1/2 }

269

z+1/2, -y+3/4, -x+1/4, -1
m_z,-m_y,-m_x

   0   0   1   1/2
   0  -1   0   3/4
  -1   0   0   1/4

-4^- 3/8,y,-1/8 3/8,3/8,-1/8 -1

{ -4'^-₀₁₀ | 1/2 3/4 1/4 }

270

y+1/2, -x+3/4, -z+1/4, -1
m_y,-m_x,-m_z

   0   1   0   1/2
  -1   0   0   3/4
   0   0  -1   1/4

-4⁺ 5/8,1/8,z 5/8,1/8,1/8 -1

{ -4'⁺₀₀₁ | 1/2 3/4 1/4 }

271

-y+1/4, x, -z+1/4, -1
-m_y,m_x,-m_z

   0  -1   0   1/4
   1   0   0    0
   0   0  -1   1/4

-4^- 1/8,1/8,z 1/8,1/8,1/8 -1

{ -4'^-₀₀₁ | 1/4 0 1/4 }

272

-x, y+3/4, z+1/4, -1
-m_x,m_y,m_z

  -1   0   0    0
   0   1   0   3/4
   0   0   1   1/4

d (0,3/4,1/4) 0,y,z -1

{ m'₁₀₀ | 0 3/4 1/4 }

273

x+1/4, -y+1/2, z+1/4, -1
m_x,-m_y,m_z

   1   0   0   1/4
   0  -1   0   1/2
   0   0   1   1/4

d (1/4,0,1/4) x,1/4,z -1

{ m'₀₁₀ | 1/4 1/2 1/4 }

274

x+1/4, y+3/4, -z, -1
m_x,m_y,-m_z

   1   0   0   1/4
   0   1   0   3/4
   0   0  -1    0

d (1/4,3/4,0) x,y,0 -1

{ m'₀₀₁ | 1/4 3/4 0 }

275

-y+1/4, -x+3/4, z+1/2, -1
-m_y,-m_x,m_z

   0  -1   0   1/4
  -1   0   0   3/4
   0   0   1   1/2

g (-1/4,1/4,1/2) x+1/2,-x,z -1

{ m'₁₁₀ | 1/4 3/4 1/2 }

276

y+1/2, x, z+1/2, -1
m_y,m_x,m_z

   0   1   0   1/2
   1   0   0    0
   0   0   1   1/2

g (1/4,1/4,1/2) x+1/4,x,z -1

{ m'_1-10 | 1/2 0 1/2 }

277

x+1/2, -z+3/4, -y+1/4, -1
m_x,-m_z,-m_y

   1   0   0   1/2
   0   0  -1   3/4
   0  -1   0   1/4

g (1/2,1/4,-1/4) x,y+1/2,-y -1

{ m'₀₁₁ | 1/2 3/4 1/4 }

278

x+1/2, z, y+1/2, -1
m_x,m_z,m_y

   1   0   0   1/2
   0   0   1    0
   0   1   0   1/2

g (1/2,1/4,1/4) x,y-1/4,y -1

{ m'_01-1 | 1/2 0 1/2 }

279

-z+1/4, y, -x+1/4, -1
-m_z,m_y,-m_x

   0   0  -1   1/4
   0   1   0    0
  -1   0   0   1/4

m -x+1/4,y,x -1

{ m'₁₀₁ | 1/4 0 1/4 }

280

z+1/2, y, x+1/2, -1
m_z,m_y,m_x

   0   0   1   1/2
   0   1   0    0
   1   0   0   1/2

g (1/2,0,1/2) x,y,x -1

{ m'_-101 | 1/2 0 1/2 }

281

-z, -x+1/2, -y, -1
-m_z,-m_x,-m_y

   0   0  -1    0
  -1   0   0   1/2
   0  -1   0    0

-3⁺ x+1/2,x+1/2,x 1/4,1/4,-1/4 -1

{ -3'⁺₁₁₁ | 0 1/2 0 }

282

-y, -z+1/2, -x, -1
-m_y,-m_z,-m_x

   0  -1   0    0
   0   0  -1   1/2
  -1   0   0    0

-3^- x-0.5,x,x -1/4,1/4,1/4 -1

{ -3'^-₁₁₁ | 0 1/2 0 }

283

y+1/4, -z+1/2, x+1/4, -1
m_y,-m_z,m_x

   0   1   0   1/4
   0   0  -1   1/2
   1   0   0   1/4

-3^- x+3/4,-x,-x 1/4,0,1/2 -1

{ -3'^-_1-1-1 | 1/4 1/2 1/4 }

284

z+1/4, x+3/4, -y, -1
m_z,m_x,-m_y

   0   0   1   1/4
   1   0   0   3/4
   0  -1   0    0

-3⁺ x-0.75,-x+1,-x -1/4,1/2,-1/2 -1

{ -3'⁺_1-1-1 | 1/4 3/4 0 }

285

y+1/4, z+3/4, -x, -1
m_y,m_z,-m_x

   0   1   0   1/4
   0   0   1   3/4
  -1   0   0    0

-3^- -x+1,x-1/4,-x 1/2,1/4,-1/2 -1

{ -3'^-_-11-1 | 1/4 3/4 0 }

286

-z, x+3/4, y+1/4, -1
-m_z,m_x,m_y

   0   0  -1    0
   1   0   0   3/4
   0   1   0   1/4

-3⁺ -x-1,x+3/4,-x -1/2,1/4,1/2 -1

{ -3'⁺_-11-1 | 0 3/4 1/4 }

287

-y, z+3/4, x+1/4, -1
-m_y,m_z,m_x

   0  -1   0    0
   0   0   1   3/4
   1   0   0   1/4

-3^- -x-3/4,-x+1/4,x -1/2,1/2,-1/4 -1

{ -3'^-_-1-11 | 0 3/4 1/4 }

288

z+1/4, -x+1/2, y+1/4, -1
m_z,-m_x,m_y

   0   0   1   1/4
  -1   0   0   1/2
   0   1   0   1/4

-3⁺ -x+3/4,-x+1/4,x 1/2,0,1/4 -1

{ -3'⁺_-1-11 | 1/4 1/2 1/4 }

289

x+1/2, y, z, -1
-m_x, -m_y, -m_z

   1   0   0   1/2
   0   1   0    0
   0   0   1    0

t (1/2,0,0) -1

{ 1' | 1/2 0 0 }

290

x+3/4, -z+1/2, y+1/4, -1
-m_x, m_z, -m_y

   1   0   0   3/4
   0   0  -1   1/2
   0   1   0   1/4

4⁺ (3/4,0,0) x,1/8,3/8 -1

{ 4'⁺₁₀₀ | 3/4 1/2 1/4 }

291

x+3/4, z+1/4, -y+1/2, -1
-m_x, -m_z, m_y

   1   0   0   3/4
   0   0   1   1/4
   0  -1   0   1/2

4^- (3/4,0,0) x,3/8,1/8 -1

{ 4'^-₁₀₀ | 3/4 1/4 1/2 }

292

z+3/4, y+1/4, -x+1/2, -1
-m_z, -m_y, m_x

   0   0   1   3/4
   0   1   0   1/4
  -1   0   0   1/2

4⁺ (0,1/4,0) 5/8,y,-1/8 -1

{ 4'⁺₀₁₀ | 3/4 1/4 1/2 }

293

-z, y+1/4, x+1/4, -1
m_z,-m_y,-m_x

   0   0  -1    0
   0   1   0   1/4
   1   0   0   1/4

4^- (0,1/4,0) -1/8,y,1/8 -1

{ 4'^-₀₁₀ | 0 1/4 1/4 }

294

-y, x+1/4, z+1/4, -1
m_y,-m_x,-m_z

   0  -1   0    0
   1   0   0   1/4
   0   0   1   1/4

4⁺ (0,0,1/4) -1/8,1/8,z -1

{ 4'⁺₀₀₁ | 0 1/4 1/4 }

295

y+3/4, -x+1/2, z+1/4, -1
-m_y, m_x, -m_z

   0   1   0   3/4
  -1   0   0   1/2
   0   0   1   1/4

4^- (0,0,1/4) 5/8,-1/8,z -1

{ 4'^-₀₀₁ | 3/4 1/2 1/4 }

296

x+1/2, -y+1/4, -z+1/4, -1
-m_x,m_y,m_z

   1   0   0   1/2
   0  -1   0   1/4
   0   0  -1   1/4

2 (1/2,0,0) x,1/8,1/8 -1

{ 2'₁₀₀ | 1/2 1/4 1/4 }

297

-x+3/4, y, -z+1/4, -1
m_x, -m_y, m_z

  -1   0   0   3/4
   0   1   0    0
   0   0  -1   1/4

2 3/8,y,1/8 -1

{ 2'₀₁₀ | 3/4 0 1/4 }

298

-x+3/4, -y+1/4, z, -1
m_x, m_y, -m_z

  -1   0   0   3/4
   0  -1   0   1/4
   0   0   1    0

2 3/8,1/8,z -1

{ 2'₀₀₁ | 3/4 1/4 0 }

299

y+3/4, x+1/4, -z+1/2, -1
-m_y, -m_x, m_z

   0   1   0   3/4
   1   0   0   1/4
   0   0  -1   1/2

2 (1/2,1/2,0) x,x-1/4,1/4 -1

{ 2'₁₁₀ | 3/4 1/4 1/2 }

300

-y, -x+1/2, -z+1/2, -1
m_y, m_x, m_z

   0  -1   0    0
  -1   0   0   1/2
   0   0  -1   1/2

2 (-1/4,1/4,0) x,-x+1/4,1/4 -1

{ 2'_1-10 | 0 1/2 1/2 }

301

-x, z+1/4, y+1/4, -1
m_x,-m_z,-m_y

  -1   0   0    0
   0   0   1   1/4
   0   1   0   1/4

2 (0,1/4,1/4) 0,y,y -1

{ 2'₀₁₁ | 0 1/4 1/4 }

302

-x, -z+1/2, -y+1/2, -1
m_x, m_z, m_y

  -1   0   0    0
   0   0  -1   1/2
   0  -1   0   1/2

2 0,y+1/2,-y -1

{ 2'_01-1 | 0 1/2 1/2 }

303

z+3/4, -y+1/2, x+1/4, -1
-m_z, m_y, -m_x

   0   0   1   3/4
   0  -1   0   1/2
   1   0   0   1/4

2 (1/2,0,1/2) x+1/4,1/4,x -1

{ 2'₁₀₁ | 3/4 1/2 1/4 }

304

-z, -y+1/2, -x+1/2, -1
m_z, m_y, m_x

   0   0  -1    0
   0  -1   0   1/2
  -1   0   0   1/2

2 (-1/4,0,1/4) -x+1/4,1/4,x -1

{ 2'_-101 | 0 1/2 1/2 }

305

z+1/2, x, y, -1
-m_z, -m_x, -m_y

   0   0   1   1/2
   1   0   0    0
   0   1   0    0

3⁺ (1/6,1/6,1/6) x+1/3,x+1/6,x -1

{ 3'⁺₁₁₁ | 1/2 0 0 }

306

y+1/2, z, x, -1
-m_y, -m_z, -m_x

   0   1   0   1/2
   0   0   1    0
   1   0   0    0

3^- (1/6,1/6,1/6) x+1/6,x-1/6,x -1

{ 3'^-₁₁₁ | 1/2 0 0 }

307

-y+3/4, z, -x+1/4, -1
m_y, -m_z, m_x

   0  -1   0   3/4
   0   0   1    0
  -1   0   0   1/4

3^- (1/6,-1/6,-1/6) x+5/12,-x+1/6,-x -1

{ 3'^-_1-1-1 | 3/4 0 1/4 }

308

-z+3/4, -x+1/4, y, -1
m_z, m_x, -m_y

   0   0  -1   3/4
  -1   0   0   1/4
   0   1   0    0

3⁺ (1/6,-1/6,-1/6) x+7/12,-x,-x -1

{ 3'⁺_1-1-1 | 3/4 1/4 0 }

309

-y+3/4, -z+1/4, x, -1
m_y, m_z, -m_x

   0  -1   0   3/4
   0   0  -1   1/4
   1   0   0    0

3^- (1/6,-1/6,1/6) -x+1/6,x+5/12,-x -1

{ 3'^-_-11-1 | 3/4 1/4 0 }

310

z+1/2, -x+1/4, -y+1/4, -1
-m_z,m_x,m_y

   0   0   1   1/2
  -1   0   0   1/4
   0  -1   0   1/4

3⁺ (1/6,-1/6,1/6) -x+1/3,x+1/12,-x -1

{ 3'⁺_-11-1 | 1/2 1/4 1/4 }

311

y+1/2, -z+1/4, -x+1/4, -1
-m_y,m_z,m_x

   0   1   0   1/2
   0   0  -1   1/4
  -1   0   0   1/4

3^- (1/6,1/6,-1/6) -x+5/12,-x+1/12,x -1

{ 3'^-_-1-11 | 1/2 1/4 1/4 }

312

-z+3/4, x, -y+1/4, -1
m_z, -m_x, m_y

   0   0  -1   3/4
   1   0   0    0
   0  -1   0   1/4

3⁺ (1/6,1/6,-1/6) -x+7/12,-x+5/12,x -1

{ 3'⁺_-1-11 | 3/4 0 1/4 }

313

-x+1/2, -y, -z, -1
-m_x,-m_y,-m_z

  -1   0   0   1/2
   0  -1   0    0
   0   0  -1    0

-1 1/4,0,0 -1

{ -1' | 1/2 0 0 }

314

-x+3/4, z+1/2, -y+1/4, -1
-m_x,m_z,-m_y

  -1   0   0   3/4
   0   0   1   1/2
   0  -1   0   1/4

-4⁺ x,3/8,-1/8 3/8,3/8,-1/8 -1

{ -4'⁺₁₀₀ | 3/4 1/2 1/4 }

315

-x+3/4, -z+1/4, y+1/2, -1
-m_x,-m_z,m_y

  -1   0   0   3/4
   0   0  -1   1/4
   0   1   0   1/2

-4^- x,-1/8,3/8 3/8,-1/8,3/8 -1

{ -4'^-₁₀₀ | 3/4 1/4 1/2 }

316

-z+3/4, -y+1/4, x+1/2, -1
-m_z,-m_y,m_x

   0   0  -1   3/4
   0  -1   0   1/4
   1   0   0   1/2

-4⁺ 1/8,y,5/8 1/8,1/8,5/8 -1

{ -4'⁺₀₁₀ | 3/4 1/4 1/2 }

317

z, -y+1/4, -x+1/4, -1
m_z,-m_y,-m_x

   0   0   1    0
   0  -1   0   1/4
  -1   0   0   1/4

-4^- 1/8,y,1/8 1/8,1/8,1/8 -1

{ -4'^-₀₁₀ | 0 1/4 1/4 }

318

y, -x+1/4, -z+1/4, -1
m_y,-m_x,-m_z

   0   1   0    0
  -1   0   0   1/4
   0   0  -1   1/4

-4⁺ 1/8,1/8,z 1/8,1/8,1/8 -1

{ -4'⁺₀₀₁ | 0 1/4 1/4 }

319

-y+3/4, x+1/2, -z+1/4, -1
-m_y,m_x,-m_z

   0  -1   0   3/4
   1   0   0   1/2
   0   0  -1   1/4

-4^- 1/8,5/8,z 1/8,5/8,1/8 -1

{ -4'^-₀₀₁ | 3/4 1/2 1/4 }

320

-x+1/2, y+1/4, z+1/4, -1
-m_x,m_y,m_z

  -1   0   0   1/2
   0   1   0   1/4
   0   0   1   1/4

d (0,1/4,1/4) 1/4,y,z -1

{ m'₁₀₀ | 1/2 1/4 1/4 }

321

x+3/4, -y, z+1/4, -1
m_x,-m_y,m_z

   1   0   0   3/4
   0  -1   0    0
   0   0   1   1/4

d (3/4,0,1/4) x,0,z -1

{ m'₀₁₀ | 3/4 0 1/4 }

322

x+3/4, y+1/4, -z, -1
m_x,m_y,-m_z

   1   0   0   3/4
   0   1   0   1/4
   0   0  -1    0

d (3/4,1/4,0) x,y,0 -1

{ m'₀₀₁ | 3/4 1/4 0 }

323

-y+3/4, -x+1/4, z+1/2, -1
-m_y,-m_x,m_z

   0  -1   0   3/4
  -1   0   0   1/4
   0   0   1   1/2

g (1/4,-1/4,1/2) x+1/2,-x,z -1

{ m'₁₁₀ | 3/4 1/4 1/2 }

324

y, x+1/2, z+1/2, -1
m_y,m_x,m_z

   0   1   0    0
   1   0   0   1/2
   0   0   1   1/2

g (1/4,1/4,1/2) x-0.25,x,z -1

{ m'_1-10 | 0 1/2 1/2 }

325

x, -z+1/4, -y+1/4, -1
m_x,-m_z,-m_y

   1   0   0    0
   0   0  -1   1/4
   0  -1   0   1/4

m x,y+1/4,-y -1

{ m'₀₁₁ | 0 1/4 1/4 }

326

x, z+1/2, y+1/2, -1
m_x,m_z,m_y

   1   0   0    0
   0   0   1   1/2
   0   1   0   1/2

g (0,1/2,1/2) x,y,y -1

{ m'_01-1 | 0 1/2 1/2 }

327

-z+3/4, y+1/2, -x+1/4, -1
-m_z,m_y,-m_x

   0   0  -1   3/4
   0   1   0   1/2
  -1   0   0   1/4

g (1/4,1/2,-1/4) -x+1/2,y,x -1

{ m'₁₀₁ | 3/4 1/2 1/4 }

328

z, y+1/2, x+1/2, -1
m_z,m_y,m_x

   0   0   1    0
   0   1   0   1/2
   1   0   0   1/2

g (1/4,1/2,1/4) x-0.25,y,x -1

{ m'_-101 | 0 1/2 1/2 }

329

-z+1/2, -x, -y, -1
-m_z,-m_x,-m_y

   0   0  -1   1/2
  -1   0   0    0
   0  -1   0    0

-3⁺ x,x-1/2,x 1/4,-1/4,1/4 -1

{ -3'⁺₁₁₁ | 1/2 0 0 }

330

-y+1/2, -z, -x, -1
-m_y,-m_z,-m_x

   0  -1   0   1/2
   0   0  -1    0
  -1   0   0    0

-3^- x+1/2,x+1/2,x 1/4,1/4,-1/4 -1

{ -3'^-₁₁₁ | 1/2 0 0 }

331

y+3/4, -z, x+1/4, -1
m_y,-m_z,m_x

   0   1   0   3/4
   0   0  -1    0
   1   0   0   1/4

-3^- x+3/4,-x,-x 1/4,-1/2,1/2 -1

{ -3'^-_1-1-1 | 3/4 0 1/4 }

332

z+3/4, x+1/4, -y, -1
m_z,m_x,-m_y

   0   0   1   3/4
   1   0   0   1/4
   0  -1   0    0

-3⁺ x-0.25,-x+1,-x 1/4,1/2,-1/2 -1

{ -3'⁺_1-1-1 | 3/4 1/4 0 }

333

y+3/4, z+1/4, -x, -1
m_y,m_z,-m_x

   0   1   0   3/4
   0   0   1   1/4
  -1   0   0    0

-3^- -x+1,x-3/4,-x 1/2,-1/4,-1/2 -1

{ -3'^-_-11-1 | 3/4 1/4 0 }

334

-z+1/2, x+1/4, y+1/4, -1
-m_z,m_x,m_y

   0   0  -1   1/2
   1   0   0   1/4
   0   1   0   1/4

-3⁺ -x-1/2,x+3/4,-x 0,1/4,1/2 -1

{ -3'⁺_-11-1 | 1/2 1/4 1/4 }

335

-y+1/2, z+1/4, x+1/4, -1
-m_y,m_z,m_x

   0  -1   0   1/2
   0   0   1   1/4
   1   0   0   1/4

-3^- -x+1/4,-x+3/4,x 0,1/2,1/4 -1

{ -3'^-_-1-11 | 1/2 1/4 1/4 }

336

z+3/4, -x, y+1/4, -1
m_z,-m_x,m_y

   0   0   1   3/4
  -1   0   0    0
   0   1   0   1/4

-3⁺ -x+1/4,-x,x 1/2,-1/2,-1/4 -1

{ -3'⁺_-1-11 | 3/4 0 1/4 }

337

x+1/2, y+1/2, z+1/2, -1
-m_x, -m_y, -m_z

   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 }

338

x+3/4, -z, y+3/4, -1
-m_x, m_z, -m_y

   1   0   0   3/4
   0   0  -1    0
   0   1   0   3/4

4⁺ (3/4,0,0) x,-3/8,3/8 -1

{ 4'⁺₁₀₀ | 3/4 0 3/4 }

339

x+3/4, z+3/4, -y, -1
-m_x, -m_z, m_y

   1   0   0   3/4
   0   0   1   3/4
   0  -1   0    0

4^- (3/4,0,0) x,3/8,-3/8 -1

{ 4'^-₁₀₀ | 3/4 3/4 0 }

340

z+3/4, y+3/4, -x, -1
-m_z, -m_y, m_x

   0   0   1   3/4
   0   1   0   3/4
  -1   0   0    0

4⁺ (0,3/4,0) 3/8,y,-3/8 -1

{ 4'⁺₀₁₀ | 3/4 3/4 0 }

341

-z, y+3/4, x+3/4, -1
m_z, -m_y, -m_x

   0   0  -1    0
   0   1   0   3/4
   1   0   0   3/4

4^- (0,3/4,0) -3/8,y,3/8 -1

{ 4'^-₀₁₀ | 0 3/4 3/4 }

342

-y, x+3/4, z+3/4, -1
m_y, -m_x, -m_z

   0  -1   0    0
   1   0   0   3/4
   0   0   1   3/4

4⁺ (0,0,3/4) -3/8,3/8,z -1

{ 4'⁺₀₀₁ | 0 3/4 3/4 }

343

y+3/4, -x, z+3/4, -1
-m_y, m_x, -m_z

   0   1   0   3/4
  -1   0   0    0
   0   0   1   3/4

4^- (0,0,3/4) 3/8,-3/8,z -1

{ 4'^-₀₀₁ | 3/4 0 3/4 }

344

x+1/2, -y+3/4, -z+3/4, -1
-m_x, m_y, m_z

   1   0   0   1/2
   0  -1   0   3/4
   0   0  -1   3/4

2 (1/2,0,0) x,3/8,3/8 -1

{ 2'₁₀₀ | 1/2 3/4 3/4 }

345

-x+3/4, y+1/2, -z+3/4, -1
m_x, -m_y, m_z

  -1   0   0   3/4
   0   1   0   1/2
   0   0  -1   3/4

2 (0,1/2,0) 3/8,y,3/8 -1

{ 2'₀₁₀ | 3/4 1/2 3/4 }

346

-x+3/4, -y+3/4, z+1/2, -1
m_x, m_y, -m_z

  -1   0   0   3/4
   0  -1   0   3/4
   0   0   1   1/2

2 (0,0,1/2) 3/8,3/8,z -1

{ 2'₀₀₁ | 3/4 3/4 1/2 }

347

y+3/4, x+3/4, -z, -1
-m_y, -m_x, m_z

   0   1   0   3/4
   1   0   0   3/4
   0   0  -1    0

2 (3/4,3/4,0) x,x,0 -1

{ 2'₁₁₀ | 3/4 3/4 0 }

348

-y, -x, -z, -1
m_y,m_x,m_z

   0  -1   0    0
  -1   0   0    0
   0   0  -1    0

2 x,-x,0 -1

{ 2'_1-10 | 0 }

349

-x, z+3/4, y+3/4, -1
m_x, -m_z, -m_y

  -1   0   0    0
   0   0   1   3/4
   0   1   0   3/4

2 (0,3/4,3/4) 0,y,y -1

{ 2'₀₁₁ | 0 3/4 3/4 }

350

-x, -z, -y, -1
m_x,m_z,m_y

  -1   0   0    0
   0   0  -1    0
   0  -1   0    0

2 0,y,-y -1

{ 2'_01-1 | 0 }

351

z+3/4, -y, x+3/4, -1
-m_z, m_y, -m_x

   0   0   1   3/4
   0  -1   0    0
   1   0   0   3/4

2 (3/4,0,3/4) x,0,x -1

{ 2'₁₀₁ | 3/4 0 3/4 }

352

-z, -y, -x, -1
m_z,m_y,m_x

   0   0  -1    0
   0  -1   0    0
  -1   0   0    0

2 -x,0,x -1

{ 2'_-101 | 0 }

353

z+1/2, x+1/2, y+1/2, -1
-m_z,-m_x,-m_y

   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

{ 3'⁺₁₁₁ | 1/2 1/2 1/2 }

354

y+1/2, z+1/2, x+1/2, -1
-m_y,-m_z,-m_x

   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

{ 3'^-₁₁₁ | 1/2 1/2 1/2 }

355

-y+3/4, z+1/2, -x+3/4, -1
m_y, -m_z, m_x

   0  -1   0   3/4
   0   0   1   1/2
  -1   0   0   3/4

3^- (-1/6,1/6,1/6) x+7/12,-x+1/3,-x -1

{ 3'^-_1-1-1 | 3/4 1/2 3/4 }

356

-z+3/4, -x+3/4, y+1/2, -1
m_z, m_x, -m_y

   0   0  -1   3/4
  -1   0   0   3/4
   0   1   0   1/2

3⁺ (-1/6,1/6,1/6) x+11/12,-x,-x -1

{ 3'⁺_1-1-1 | 3/4 3/4 1/2 }

357

-y+3/4, -z+3/4, x+1/2, -1
m_y, m_z, -m_x

   0  -1   0   3/4
   0   0  -1   3/4
   1   0   0   1/2

3^- (1/6,-1/6,1/6) -x-1/3,x+11/12,-x -1

{ 3'^-_-11-1 | 3/4 3/4 1/2 }

358

z+1/2, -x+3/4, -y+3/4, -1
-m_z, m_x, m_y

   0   0   1   1/2
  -1   0   0   3/4
   0  -1   0   3/4

3⁺ (1/6,-1/6,1/6) -x+1/3,x+7/12,-x -1

{ 3'⁺_-11-1 | 1/2 3/4 3/4 }

359

y+1/2, -z+3/4, -x+3/4, -1
-m_y, m_z, m_x

   0   1   0   1/2
   0   0  -1   3/4
  -1   0   0   3/4

3^- (1/6,1/6,-1/6) -x+11/12,-x+7/12,x -1

{ 3'^-_-1-11 | 1/2 3/4 3/4 }

360

-z+3/4, x+1/2, -y+3/4, -1
m_z, -m_x, m_y

   0   0  -1   3/4
   1   0   0   1/2
   0  -1   0   3/4

3⁺ (1/6,1/6,-1/6) -x+7/12,-x+11/12,x -1

{ 3'⁺_-1-11 | 3/4 1/2 3/4 }

361

-x+1/2, -y+1/2, -z+1/2, -1
-m_x,-m_y,-m_z

  -1   0   0   1/2
   0  -1   0   1/2
   0   0  -1   1/2

-1 1/4,1/4,1/4 -1

{ -1' | 1/2 1/2 1/2 }

362

-x+3/4, z, -y+3/4, -1
-m_x,m_z,-m_y

  -1   0   0   3/4
   0   0   1    0
   0  -1   0   3/4

-4⁺ x,3/8,3/8 3/8,3/8,3/8 -1

{ -4'⁺₁₀₀ | 3/4 0 3/4 }

363

-x+3/4, -z+3/4, y, -1
-m_x,-m_z,m_y

  -1   0   0   3/4
   0   0  -1   3/4
   0   1   0    0

-4^- x,3/8,3/8 3/8,3/8,3/8 -1

{ -4'^-₁₀₀ | 3/4 3/4 0 }

364

-z+3/4, -y+3/4, x, -1
-m_z,-m_y,m_x

   0   0  -1   3/4
   0  -1   0   3/4
   1   0   0    0

-4⁺ 3/8,y,3/8 3/8,3/8,3/8 -1

{ -4'⁺₀₁₀ | 3/4 3/4 0 }

365

z, -y+3/4, -x+3/4, -1
m_z,-m_y,-m_x

   0   0   1    0
   0  -1   0   3/4
  -1   0   0   3/4

-4^- 3/8,y,3/8 3/8,3/8,3/8 -1

{ -4'^-₀₁₀ | 0 3/4 3/4 }

366

y, -x+3/4, -z+3/4, -1
m_y,-m_x,-m_z

   0   1   0    0
  -1   0   0   3/4
   0   0  -1   3/4

-4⁺ 3/8,3/8,z 3/8,3/8,3/8 -1

{ -4'⁺₀₀₁ | 0 3/4 3/4 }

367

-y+3/4, x, -z+3/4, -1
-m_y,m_x,-m_z

   0  -1   0   3/4
   1   0   0    0
   0   0  -1   3/4

-4^- 3/8,3/8,z 3/8,3/8,3/8 -1

{ -4'^-₀₀₁ | 3/4 0 3/4 }

368

-x+1/2, y+3/4, z+3/4, -1
-m_x,m_y,m_z

  -1   0   0   1/2
   0   1   0   3/4
   0   0   1   3/4

d (0,3/4,3/4) 1/4,y,z -1

{ m'₁₀₀ | 1/2 3/4 3/4 }

369

x+3/4, -y+1/2, z+3/4, -1
m_x,-m_y,m_z

   1   0   0   3/4
   0  -1   0   1/2
   0   0   1   3/4

d (3/4,0,3/4) x,1/4,z -1

{ m'₀₁₀ | 3/4 1/2 3/4 }

370

x+3/4, y+3/4, -z+1/2, -1
m_x,m_y,-m_z

   1   0   0   3/4
   0   1   0   3/4
   0   0  -1   1/2

d (3/4,3/4,0) x,y,1/4 -1

{ m'₀₀₁ | 3/4 3/4 1/2 }

371

-y+3/4, -x+3/4, z, -1
-m_y,-m_x,m_z

   0  -1   0   3/4
  -1   0   0   3/4
   0   0   1    0

m x+3/4,-x,z -1

{ m'₁₁₀ | 3/4 3/4 0 }

372

y, x, z, -1
m_y,m_x,m_z

   0   1   0    0
   1   0   0    0
   0   0   1    0

m x,x,z -1

{ m'_1-10 | 0 }

373

x, -z+3/4, -y+3/4, -1
m_x,-m_z,-m_y

   1   0   0    0
   0   0  -1   3/4
   0  -1   0   3/4

m x,y+3/4,-y -1

{ m'₀₁₁ | 0 3/4 3/4 }

374

x, z, y, -1
m_x,m_z,m_y

   1   0   0    0
   0   0   1    0
   0   1   0    0

m x,y,y -1

{ m'_01-1 | 0 }

375

-z+3/4, y, -x+3/4, -1
-m_z,m_y,-m_x

   0   0  -1   3/4
   0   1   0    0
  -1   0   0   3/4

m -x+3/4,y,x -1

{ m'₁₀₁ | 3/4 0 3/4 }

376

z, y, x, -1
m_z,m_y,m_x

   0   0   1    0
   0   1   0    0
   1   0   0    0

m x,y,x -1

{ m'_-101 | 0 }

377

-z+1/2, -x+1/2, -y+1/2, -1
-m_z,-m_x,-m_y

   0   0  -1   1/2
  -1   0   0   1/2
   0  -1   0   1/2

-3⁺ x,x,x 1/4,1/4,1/4 -1

{ -3'⁺₁₁₁ | 1/2 1/2 1/2 }

378

-y+1/2, -z+1/2, -x+1/2, -1
-m_y,-m_z,-m_x

   0  -1   0   1/2
   0   0  -1   1/2
  -1   0   0   1/2

-3^- x,x,x 1/4,1/4,1/4 -1

{ -3'^-₁₁₁ | 1/2 1/2 1/2 }

379

y+3/4, -z+1/2, x+3/4, -1
m_y,-m_z,m_x

   0   1   0   3/4
   0   0  -1   1/2
   1   0   0   3/4

-3^- x+5/4,-x,-x 1/4,-1/2,1 -1

{ -3'^-_1-1-1 | 3/4 1/2 3/4 }

380

z+3/4, x+3/4, -y+1/2, -1
m_z,m_x,-m_y

   0   0   1   3/4
   1   0   0   3/4
   0  -1   0   1/2

-3⁺ x-0.25,-x+3/2,-x 1/4,1,-1/2 -1

{ -3'⁺_1-1-1 | 3/4 3/4 1/2 }

381

y+3/4, z+3/4, -x+1/2, -1
m_y,m_z,-m_x

   0   1   0   3/4
   0   0   1   3/4
  -1   0   0   1/2

-3^- -x+3/2,x-1/4,-x 1,1/4,-1/2 -1

{ -3'^-_-11-1 | 3/4 3/4 1/2 }

382

-z+1/2, x+3/4, y+3/4, -1
-m_z,m_x,m_y

   0   0  -1   1/2
   1   0   0   3/4
   0   1   0   3/4

-3⁺ -x-3/2,x+5/4,-x -1/2,1/4,1 -1

{ -3'⁺_-11-1 | 1/2 3/4 3/4 }

383

-y+1/2, z+3/4, x+3/4, -1
-m_y,m_z,m_x

   0  -1   0   1/2
   0   0   1   3/4
   1   0   0   3/4

-3^- -x-1/4,-x+5/4,x -1/2,1,1/4 -1

{ -3'^-_-1-11 | 1/2 3/4 3/4 }

384

z+3/4, -x+1/2, y+3/4, -1
m_z,-m_x,m_y

   0   0   1   3/4
  -1   0   0   1/2
   0   1   0   3/4

-3⁺ -x+5/4,-x,x 1,-1/2,1/4 -1

{ -3'⁺_-1-11 | 3/4 1/2 3/4 }

Go to the list of the Wyckoff Positions of the Group F_Sd-3c (#228.139)
Go to the Systematic Absences for the Group F_Sd-3c (#228.139)

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General Positions of the Group FSd-3c (#228.139) [BNS setting]

Translation lattice generators: (1|1,0,0), (1|0,1,0), (1|0,0,1), (1|0,0,0), (1|0,1/2,1/2), (1|1/2,0,1/2), (1|1/2,1/2,0)

Black-and-white lattice generators: (1|1,0,0), (1|0,1,0), (1|0,0,1), (1|0,1/2,1/2), (1|1/2,0,1/2), (1|1/2,1/2,0), (1'|0,0,1/2) , (1'|0,1/2,0) , (1'|1/2,0,0) , (1'|1/2,1/2,1/2)

General Positions of the Group F_Sd-3c (#228.139) [BNS setting]