The continuously infinite group ∞1 is omitted.
Coordinates | Seitz symbol |
---|---|
a, b, c | x, y, z | { 1 ‖ 1 | 0 } |
a, -b, -c | x, y, z | { 1 ‖ 2100 | 0 } |
-a, b, -c | x, y, z | { 1 ‖ 2010 | 0 } |
-a, -b, c | x, y, z | { 1 ‖ 2001 | 0 } |
-a, -b, -c | x, y, z | { 1 ‖ -1 | 0 } |
-a, b, c | x, y, z | { 1 ‖ m100 | 0 } |
a, -b, c | x, y, z | { 1 ‖ m010 | 0 } |
a, b, -c | x, y, z | { 1 ‖ m001 | 0 } |
a, b, c | -x, y, z | { m ‖ 1 | 0 } |
a, -b, -c | -x, y, z | { m ‖ 2100 | 0 } |
-a, b, -c | -x, y, z | { m ‖ 2010 | 0 } |
-a, -b, c | -x, y, z | { m ‖ 2001 | 0 } |
-a, -b, -c | -x, y, z | { m ‖ -1 | 0 } |
-a, b, c | -x, y, z | { m ‖ m100 | 0 } |
a, -b, c | -x, y, z | { m ‖ m010 | 0 } |
a, b, -c | -x, y, z | { m ‖ m001 | 0 } |
WP | Site symmetry | Representative |
---|---|---|
1a | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,0,0 |0,0,z) |
1b | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (1/2,0,0 |0,0,z) |
1c | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,0,1/2 |0,0,z) |
1d | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (1/2,0,1/2 |0,0,z) |
1e | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,1/2,0 |0,0,z) |
1f | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (1/2,1/2,0 |0,0,z) |
1g | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,1/2,1/2 |0,0,z) |
1h | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (1/2,1/2,1/2 |0,0,z) |
2i | $\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (a,0,0 |0,0,z) |
2j | $\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (a,0,1/2 |0,0,z) |
2k | $\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (a,1/2,0 |0,0,z) |
2l | $\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (a,1/2,1/2 |0,0,z) |
2m | $\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,b,0 |0,0,z) |
2n | $\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (0,b,1/2 |0,0,z) |
2o | $\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (1/2,b,0 |0,0,z) |
2p | $\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (1/2,b,1/2 |0,0,z) |
2q | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (0,0,c |0,0,z) |
2r | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (0,1/2,c |0,0,z) |
2s | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (1/2,0,c |0,0,z) |
2t | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (1/2,1/2,c |0,0,z) |
4u | $\ce{^{1}{m}}..\ce{^{\infty m}{1}} $ | (0,b,c |0,0,z) |
4v | $\ce{^{1}{m}}..\ce{^{\infty m}{1}} $ | (1/2,b,c |0,0,z) |
4w | $.\ce{^{1}{m}}.\ce{^{\infty m}{1}} $ | (a,0,c |0,0,z) |
4x | $.\ce{^{1}{m}}.\ce{^{\infty m}{1}} $ | (a,1/2,c |0,0,z) |
4y | $..\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (a,b,0 |0,0,z) |
4z | $..\ce{^{1}{m}}\ce{^{\infty m}{1}} $ | (a,b,1/2 |0,0,z) |
8alpha | $\ce{^{1}{1}}\ce{^{\infty m}{1}} $ | (a,b,c |0,0,z) |
Wavevector-k | Little co-group |
---|---|
Γ:(0,0,0) | $ \ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
R:(1/2,1/2,1/2) | $ \ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
S:(1/2,1/2,0) | $ \ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
T:(0,1/2,1/2) | $ \ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
U:(1/2,0,1/2) | $ \ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
X:(1/2,0,0) | $ \ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
Y:(0,1/2,0) | $ \ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
Z:(0,0,1/2) | $ \ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
A:(u,0,1/2) | $ \ce{^{m}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
B:(0,v,1/2) | $ \ce{^{1}{m}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
C:(u,1/2,0) | $ \ce{^{m}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
D:(1/2,v,0) | $ \ce{^{1}{m}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
Δ:(0,v,0) | $ \ce{^{1}{m}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
E:(u,1/2,1/2) | $ \ce{^{m}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
G:(1/2,0,w) | $ \ce{^{1}{m}}\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{\infty}{1}} $ |
H:(0,1/2,w) | $ \ce{^{1}{m}}\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{\infty}{1}} $ |
Λ:(0,0,w) | $ \ce{^{1}{m}}\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{\infty}{1}} $ |
P:(1/2,v,1/2) | $ \ce{^{1}{m}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
Q:(1/2,1/2,w) | $ \ce{^{1}{m}}\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{\infty}{1}} $ |
Σ:(u,0,0) | $ \ce{^{m}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
K:(0,v,w) | $ \ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
L:(1/2,v,w) | $ \ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
M:(u,0,w) | $ \ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
N:(u,1/2,w) | $ \ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
V:(u,v,0) | $ \ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
W:(u,v,1/2) | $ \ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
GP:(u,v,w) | $ \ce{^{m}{-1}}\ce{^{\infty}{1}} $ |
Spin Brillouin Zone
k-vector | Ag↑G(1) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1) $ |
T:(0,1/2,1/2) | $T_{1}^{S,+}(1) $ |
U:(1/2,0,1/2) | $U_{1}^{S,+}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1) $ |
C:(u,1/2,0) | $C_{1}^{S}(1) $ |
D:(1/2,v,0) | $D_{1}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{1}^{S}(1) $ |
G:(1/2,0,w) | $G_{1}^{S}(1) $ |
H:(0,1/2,w) | $H_{1}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{1}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{1}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1) $ |
L:(1/2,v,w) | $L_{1}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1) $ |
N:(u,1/2,w) | $N_{1}^{S}(1) $ |
V:(u,v,0) | $V_{1}^{S}(1) $ |
W:(u,v,1/2) | $W_{1}^{S}(1) $ |
GP:(u,v,w) | $GP_{1}^{S}(1) $ |
k-vector | Ag↑G(1) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{3}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{3}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{1}^{S,+}(1) $ |
U:(1/2,0,1/2) | $U_{3}^{S,-}(1) $ |
X:(1/2,0,0) | $X_{3}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1) $ |
C:(u,1/2,0) | $C_{1}^{S}(1) $ |
D:(1/2,v,0) | $D_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{1}^{S}(1) $ |
G:(1/2,0,w) | $G_{4}^{S}(1) $ |
H:(0,1/2,w) | $H_{1}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{4}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{4}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1) $ |
L:(1/2,v,w) | $L_{2}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1) $ |
N:(u,1/2,w) | $N_{1}^{S}(1) $ |
V:(u,v,0) | $V_{1}^{S}(1) $ |
W:(u,v,1/2) | $W_{1}^{S}(1) $ |
GP:(u,v,w) | $GP_{1}^{S}(1) $ |
k-vector | Ag↑G(1) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{2}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1) $ |
T:(0,1/2,1/2) | $T_{2}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{2}^{S,-}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1) $ |
Z:(0,0,1/2) | $Z_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{3}^{S}(1) $ |
C:(u,1/2,0) | $C_{1}^{S}(1) $ |
D:(1/2,v,0) | $D_{1}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{3}^{S}(1) $ |
G:(1/2,0,w) | $G_{1}^{S}(1) $ |
H:(0,1/2,w) | $H_{1}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{3}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{1}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1) $ |
L:(1/2,v,w) | $L_{1}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1) $ |
N:(u,1/2,w) | $N_{1}^{S}(1) $ |
V:(u,v,0) | $V_{1}^{S}(1) $ |
W:(u,v,1/2) | $W_{2}^{S}(1) $ |
GP:(u,v,w) | $GP_{1}^{S}(1) $ |
k-vector | Ag↑G(1) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{4}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{3}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{2}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{4}^{S,+}(1) $ |
X:(1/2,0,0) | $X_{3}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1) $ |
Z:(0,0,1/2) | $Z_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{3}^{S}(1) $ |
C:(u,1/2,0) | $C_{1}^{S}(1) $ |
D:(1/2,v,0) | $D_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{3}^{S}(1) $ |
G:(1/2,0,w) | $G_{4}^{S}(1) $ |
H:(0,1/2,w) | $H_{1}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{2}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{4}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1) $ |
L:(1/2,v,w) | $L_{2}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1) $ |
N:(u,1/2,w) | $N_{1}^{S}(1) $ |
V:(u,v,0) | $V_{1}^{S}(1) $ |
W:(u,v,1/2) | $W_{2}^{S}(1) $ |
GP:(u,v,w) | $GP_{1}^{S}(1) $ |
k-vector | Ag↑G(1) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{4}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{4}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{4}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{1}^{S,+}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1) $ |
Y:(0,1/2,0) | $Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1) $ |
C:(u,1/2,0) | $C_{4}^{S}(1) $ |
D:(1/2,v,0) | $D_{1}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{4}^{S}(1) $ |
G:(1/2,0,w) | $G_{1}^{S}(1) $ |
H:(0,1/2,w) | $H_{3}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{1}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{3}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1) $ |
L:(1/2,v,w) | $L_{1}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1) $ |
N:(u,1/2,w) | $N_{2}^{S}(1) $ |
V:(u,v,0) | $V_{1}^{S}(1) $ |
W:(u,v,1/2) | $W_{1}^{S}(1) $ |
GP:(u,v,w) | $GP_{1}^{S}(1) $ |
k-vector | Ag↑G(1) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{2}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{2}^{S,+}(1) $ |
T:(0,1/2,1/2) | $T_{4}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{3}^{S,-}(1) $ |
X:(1/2,0,0) | $X_{3}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1) $ |
C:(u,1/2,0) | $C_{4}^{S}(1) $ |
D:(1/2,v,0) | $D_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{4}^{S}(1) $ |
G:(1/2,0,w) | $G_{4}^{S}(1) $ |
H:(0,1/2,w) | $H_{3}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{4}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{2}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1) $ |
L:(1/2,v,w) | $L_{2}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1) $ |
N:(u,1/2,w) | $N_{2}^{S}(1) $ |
V:(u,v,0) | $V_{1}^{S}(1) $ |
W:(u,v,1/2) | $W_{1}^{S}(1) $ |
GP:(u,v,w) | $GP_{1}^{S}(1) $ |
k-vector | Ag↑G(1) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{3}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{4}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{3}^{S,+}(1) $ |
U:(1/2,0,1/2) | $U_{2}^{S,-}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1) $ |
Y:(0,1/2,0) | $Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{3}^{S}(1) $ |
C:(u,1/2,0) | $C_{4}^{S}(1) $ |
D:(1/2,v,0) | $D_{1}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{2}^{S}(1) $ |
G:(1/2,0,w) | $G_{1}^{S}(1) $ |
H:(0,1/2,w) | $H_{3}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{3}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{3}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1) $ |
L:(1/2,v,w) | $L_{1}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1) $ |
N:(u,1/2,w) | $N_{2}^{S}(1) $ |
V:(u,v,0) | $V_{1}^{S}(1) $ |
W:(u,v,1/2) | $W_{2}^{S}(1) $ |
GP:(u,v,w) | $GP_{1}^{S}(1) $ |
k-vector | Ag↑G(1) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{2}^{S,+}(1) $ |
T:(0,1/2,1/2) | $T_{3}^{S,+}(1) $ |
U:(1/2,0,1/2) | $U_{4}^{S,+}(1) $ |
X:(1/2,0,0) | $X_{3}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{3}^{S}(1) $ |
C:(u,1/2,0) | $C_{4}^{S}(1) $ |
D:(1/2,v,0) | $D_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{2}^{S}(1) $ |
G:(1/2,0,w) | $G_{4}^{S}(1) $ |
H:(0,1/2,w) | $H_{3}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{2}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{2}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1) $ |
L:(1/2,v,w) | $L_{2}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1) $ |
N:(u,1/2,w) | $N_{2}^{S}(1) $ |
V:(u,v,0) | $V_{1}^{S}(1) $ |
W:(u,v,1/2) | $W_{2}^{S}(1) $ |
GP:(u,v,w) | $GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{3}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1)⊕R_{3}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{3}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{1}^{S,+}(1)⊕T_{3}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{1}^{S,+}(1)⊕U_{3}^{S,-}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1)⊕X_{3}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1)⊕Y_{3}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{3}^{S,-}(1) $ |
A:(u,0,1/2) | $2A_{1}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1)⊕B_{4}^{S}(1) $ |
C:(u,1/2,0) | $2C_{1}^{S}(1) $ |
D:(1/2,v,0) | $D_{1}^{S}(1)⊕D_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{4}^{S}(1) $ |
E:(u,1/2,1/2) | $2E_{1}^{S}(1) $ |
G:(1/2,0,w) | $G_{1}^{S}(1)⊕G_{4}^{S}(1) $ |
H:(0,1/2,w) | $H_{1}^{S}(1)⊕H_{4}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{4}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{1}^{S}(1)⊕P_{4}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{1}^{S}(1)⊕Q_{4}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1)⊕K_{2}^{S}(1) $ |
L:(1/2,v,w) | $L_{1}^{S}(1)⊕L_{2}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1) $ |
N:(u,1/2,w) | $2N_{1}^{S}(1) $ |
V:(u,v,0) | $2V_{1}^{S}(1) $ |
W:(u,v,1/2) | $2W_{1}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{3}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{2}^{S,-}(1)⊕R_{4}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{3}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{2}^{S,-}(1)⊕T_{4}^{S,+}(1) $ |
U:(1/2,0,1/2) | $U_{2}^{S,-}(1)⊕U_{4}^{S,+}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1)⊕X_{3}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1)⊕Y_{3}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{2}^{S,-}(1)⊕Z_{4}^{S,+}(1) $ |
A:(u,0,1/2) | $2A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{2}^{S}(1)⊕B_{3}^{S}(1) $ |
C:(u,1/2,0) | $2C_{1}^{S}(1) $ |
D:(1/2,v,0) | $D_{1}^{S}(1)⊕D_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{4}^{S}(1) $ |
E:(u,1/2,1/2) | $2E_{3}^{S}(1) $ |
G:(1/2,0,w) | $G_{1}^{S}(1)⊕G_{4}^{S}(1) $ |
H:(0,1/2,w) | $H_{1}^{S}(1)⊕H_{4}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{4}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{2}^{S}(1)⊕P_{3}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{1}^{S}(1)⊕Q_{4}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1)⊕K_{2}^{S}(1) $ |
L:(1/2,v,w) | $L_{1}^{S}(1)⊕L_{2}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1) $ |
N:(u,1/2,w) | $2N_{1}^{S}(1) $ |
V:(u,v,0) | $2V_{1}^{S}(1) $ |
W:(u,v,1/2) | $2W_{2}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{3}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{2}^{S,+}(1)⊕R_{4}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{2}^{S,+}(1)⊕S_{4}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{2}^{S,+}(1)⊕T_{4}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{1}^{S,+}(1)⊕U_{3}^{S,-}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1)⊕X_{3}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{2}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{3}^{S,-}(1) $ |
A:(u,0,1/2) | $2A_{1}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1)⊕B_{4}^{S}(1) $ |
C:(u,1/2,0) | $2C_{4}^{S}(1) $ |
D:(1/2,v,0) | $D_{1}^{S}(1)⊕D_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{4}^{S}(1) $ |
E:(u,1/2,1/2) | $2E_{4}^{S}(1) $ |
G:(1/2,0,w) | $G_{1}^{S}(1)⊕G_{4}^{S}(1) $ |
H:(0,1/2,w) | $H_{2}^{S}(1)⊕H_{3}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{4}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{1}^{S}(1)⊕P_{4}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{2}^{S}(1)⊕Q_{3}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1)⊕K_{2}^{S}(1) $ |
L:(1/2,v,w) | $L_{1}^{S}(1)⊕L_{2}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1) $ |
N:(u,1/2,w) | $2N_{2}^{S}(1) $ |
V:(u,v,0) | $2V_{1}^{S}(1) $ |
W:(u,v,1/2) | $2W_{1}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{3}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,-}(1)⊕R_{3}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{2}^{S,+}(1)⊕S_{4}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{1}^{S,-}(1)⊕T_{3}^{S,+}(1) $ |
U:(1/2,0,1/2) | $U_{2}^{S,-}(1)⊕U_{4}^{S,+}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1)⊕X_{3}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{2}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{2}^{S,-}(1)⊕Z_{4}^{S,+}(1) $ |
A:(u,0,1/2) | $2A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{2}^{S}(1)⊕B_{3}^{S}(1) $ |
C:(u,1/2,0) | $2C_{4}^{S}(1) $ |
D:(1/2,v,0) | $D_{1}^{S}(1)⊕D_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{4}^{S}(1) $ |
E:(u,1/2,1/2) | $2E_{2}^{S}(1) $ |
G:(1/2,0,w) | $G_{1}^{S}(1)⊕G_{4}^{S}(1) $ |
H:(0,1/2,w) | $H_{2}^{S}(1)⊕H_{3}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{4}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{2}^{S}(1)⊕P_{3}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{2}^{S}(1)⊕Q_{3}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1) $ |
K:(0,v,w) | $K_{1}^{S}(1)⊕K_{2}^{S}(1) $ |
L:(1/2,v,w) | $L_{1}^{S}(1)⊕L_{2}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1) $ |
N:(u,1/2,w) | $2N_{2}^{S}(1) $ |
V:(u,v,0) | $2V_{1}^{S}(1) $ |
W:(u,v,1/2) | $2W_{2}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{4}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1)⊕R_{4}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{4}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{1}^{S,+}(1)⊕T_{4}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{1}^{S,+}(1)⊕U_{4}^{S,-}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1)⊕X_{4}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{4}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1)⊕A_{4}^{S}(1) $ |
B:(0,v,1/2) | $2B_{1}^{S}(1) $ |
C:(u,1/2,0) | $C_{1}^{S}(1)⊕C_{4}^{S}(1) $ |
D:(1/2,v,0) | $2D_{1}^{S}(1) $ |
Δ:(0,v,0) | $2Δ_{1}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{1}^{S}(1)⊕E_{4}^{S}(1) $ |
G:(1/2,0,w) | $G_{1}^{S}(1)⊕G_{3}^{S}(1) $ |
H:(0,1/2,w) | $H_{1}^{S}(1)⊕H_{3}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{3}^{S}(1) $ |
P:(1/2,v,1/2) | $2P_{1}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{1}^{S}(1)⊕Q_{3}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{4}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1) $ |
L:(1/2,v,w) | $2L_{1}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1)⊕M_{2}^{S}(1) $ |
N:(u,1/2,w) | $N_{1}^{S}(1)⊕N_{2}^{S}(1) $ |
V:(u,v,0) | $2V_{1}^{S}(1) $ |
W:(u,v,1/2) | $2W_{1}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{4}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{2}^{S,-}(1)⊕R_{3}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{4}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{2}^{S,-}(1)⊕T_{3}^{S,+}(1) $ |
U:(1/2,0,1/2) | $U_{2}^{S,-}(1)⊕U_{3}^{S,+}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1)⊕X_{4}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{2}^{S,-}(1)⊕Z_{3}^{S,+}(1) $ |
A:(u,0,1/2) | $A_{2}^{S}(1)⊕A_{3}^{S}(1) $ |
B:(0,v,1/2) | $2B_{3}^{S}(1) $ |
C:(u,1/2,0) | $C_{1}^{S}(1)⊕C_{4}^{S}(1) $ |
D:(1/2,v,0) | $2D_{1}^{S}(1) $ |
Δ:(0,v,0) | $2Δ_{1}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{2}^{S}(1)⊕E_{3}^{S}(1) $ |
G:(1/2,0,w) | $G_{1}^{S}(1)⊕G_{3}^{S}(1) $ |
H:(0,1/2,w) | $H_{1}^{S}(1)⊕H_{3}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{3}^{S}(1) $ |
P:(1/2,v,1/2) | $2P_{3}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{1}^{S}(1)⊕Q_{3}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{4}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1) $ |
L:(1/2,v,w) | $2L_{1}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1)⊕M_{2}^{S}(1) $ |
N:(u,1/2,w) | $N_{1}^{S}(1)⊕N_{2}^{S}(1) $ |
V:(u,v,0) | $2V_{1}^{S}(1) $ |
W:(u,v,1/2) | $2W_{2}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{4}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{2}^{S,+}(1)⊕R_{3}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{2}^{S,+}(1)⊕S_{3}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{1}^{S,+}(1)⊕T_{4}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{2}^{S,+}(1)⊕U_{3}^{S,-}(1) $ |
X:(1/2,0,0) | $X_{2}^{S,+}(1)⊕X_{3}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{4}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1)⊕A_{4}^{S}(1) $ |
B:(0,v,1/2) | $2B_{1}^{S}(1) $ |
C:(u,1/2,0) | $C_{1}^{S}(1)⊕C_{4}^{S}(1) $ |
D:(1/2,v,0) | $2D_{4}^{S}(1) $ |
Δ:(0,v,0) | $2Δ_{1}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{1}^{S}(1)⊕E_{4}^{S}(1) $ |
G:(1/2,0,w) | $G_{2}^{S}(1)⊕G_{4}^{S}(1) $ |
H:(0,1/2,w) | $H_{1}^{S}(1)⊕H_{3}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{3}^{S}(1) $ |
P:(1/2,v,1/2) | $2P_{4}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{2}^{S}(1)⊕Q_{4}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{4}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1) $ |
L:(1/2,v,w) | $2L_{2}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1)⊕M_{2}^{S}(1) $ |
N:(u,1/2,w) | $N_{1}^{S}(1)⊕N_{2}^{S}(1) $ |
V:(u,v,0) | $2V_{1}^{S}(1) $ |
W:(u,v,1/2) | $2W_{1}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{4}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,-}(1)⊕R_{4}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{2}^{S,+}(1)⊕S_{3}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{2}^{S,-}(1)⊕T_{3}^{S,+}(1) $ |
U:(1/2,0,1/2) | $U_{1}^{S,-}(1)⊕U_{4}^{S,+}(1) $ |
X:(1/2,0,0) | $X_{2}^{S,+}(1)⊕X_{3}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{2}^{S,-}(1)⊕Z_{3}^{S,+}(1) $ |
A:(u,0,1/2) | $A_{2}^{S}(1)⊕A_{3}^{S}(1) $ |
B:(0,v,1/2) | $2B_{3}^{S}(1) $ |
C:(u,1/2,0) | $C_{1}^{S}(1)⊕C_{4}^{S}(1) $ |
D:(1/2,v,0) | $2D_{4}^{S}(1) $ |
Δ:(0,v,0) | $2Δ_{1}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{2}^{S}(1)⊕E_{3}^{S}(1) $ |
G:(1/2,0,w) | $G_{2}^{S}(1)⊕G_{4}^{S}(1) $ |
H:(0,1/2,w) | $H_{1}^{S}(1)⊕H_{3}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{3}^{S}(1) $ |
P:(1/2,v,1/2) | $2P_{2}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{2}^{S}(1)⊕Q_{4}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{4}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1) $ |
L:(1/2,v,w) | $2L_{2}^{S}(1) $ |
M:(u,0,w) | $M_{1}^{S}(1)⊕M_{2}^{S}(1) $ |
N:(u,1/2,w) | $N_{1}^{S}(1)⊕N_{2}^{S}(1) $ |
V:(u,v,0) | $2V_{1}^{S}(1) $ |
W:(u,v,1/2) | $2W_{2}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1)⊕R_{2}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{2}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{1}^{S,+}(1)⊕T_{2}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{1}^{S,+}(1)⊕U_{2}^{S,-}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1)⊕X_{2}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1)⊕Y_{2}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1)⊕A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1)⊕B_{3}^{S}(1) $ |
C:(u,1/2,0) | $C_{1}^{S}(1)⊕C_{3}^{S}(1) $ |
D:(1/2,v,0) | $D_{1}^{S}(1)⊕D_{3}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{3}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{1}^{S}(1)⊕E_{3}^{S}(1) $ |
G:(1/2,0,w) | $2G_{1}^{S}(1) $ |
H:(0,1/2,w) | $2H_{1}^{S}(1) $ |
Λ:(0,0,w) | $2Λ_{1}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{1}^{S}(1)⊕P_{3}^{S}(1) $ |
Q:(1/2,1/2,w) | $2Q_{1}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{3}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1) $ |
L:(1/2,v,w) | $2L_{1}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1) $ |
N:(u,1/2,w) | $2N_{1}^{S}(1) $ |
V:(u,v,0) | $V_{1}^{S}(1)⊕V_{2}^{S}(1) $ |
W:(u,v,1/2) | $W_{1}^{S}(1)⊕W_{2}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{3}^{S,+}(1)⊕R_{4}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{3}^{S,+}(1)⊕S_{4}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{3}^{S,+}(1)⊕T_{4}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{1}^{S,+}(1)⊕U_{2}^{S,-}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1)⊕X_{2}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{3}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1)⊕A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1)⊕B_{3}^{S}(1) $ |
C:(u,1/2,0) | $C_{2}^{S}(1)⊕C_{4}^{S}(1) $ |
D:(1/2,v,0) | $D_{1}^{S}(1)⊕D_{3}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{3}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{2}^{S}(1)⊕E_{4}^{S}(1) $ |
G:(1/2,0,w) | $2G_{1}^{S}(1) $ |
H:(0,1/2,w) | $2H_{3}^{S}(1) $ |
Λ:(0,0,w) | $2Λ_{1}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{1}^{S}(1)⊕P_{3}^{S}(1) $ |
Q:(1/2,1/2,w) | $2Q_{3}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{3}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1) $ |
L:(1/2,v,w) | $2L_{1}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1) $ |
N:(u,1/2,w) | $2N_{2}^{S}(1) $ |
V:(u,v,0) | $V_{1}^{S}(1)⊕V_{2}^{S}(1) $ |
W:(u,v,1/2) | $W_{1}^{S}(1)⊕W_{2}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{3}^{S,-}(1)⊕R_{4}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{3}^{S,-}(1)⊕S_{4}^{S,+}(1) $ |
T:(0,1/2,1/2) | $T_{1}^{S,+}(1)⊕T_{2}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{3}^{S,-}(1)⊕U_{4}^{S,+}(1) $ |
X:(1/2,0,0) | $X_{3}^{S,-}(1)⊕X_{4}^{S,+}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1)⊕Y_{2}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1)⊕A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1)⊕B_{3}^{S}(1) $ |
C:(u,1/2,0) | $C_{1}^{S}(1)⊕C_{3}^{S}(1) $ |
D:(1/2,v,0) | $D_{2}^{S}(1)⊕D_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{3}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{1}^{S}(1)⊕E_{3}^{S}(1) $ |
G:(1/2,0,w) | $2G_{4}^{S}(1) $ |
H:(0,1/2,w) | $2H_{1}^{S}(1) $ |
Λ:(0,0,w) | $2Λ_{1}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{2}^{S}(1)⊕P_{4}^{S}(1) $ |
Q:(1/2,1/2,w) | $2Q_{4}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{3}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1) $ |
L:(1/2,v,w) | $2L_{2}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1) $ |
N:(u,1/2,w) | $2N_{1}^{S}(1) $ |
V:(u,v,0) | $V_{1}^{S}(1)⊕V_{2}^{S}(1) $ |
W:(u,v,1/2) | $W_{1}^{S}(1)⊕W_{2}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A1↑G(2) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,-}(1)⊕R_{2}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,-}(1)⊕S_{2}^{S,+}(1) $ |
T:(0,1/2,1/2) | $T_{3}^{S,+}(1)⊕T_{4}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{3}^{S,-}(1)⊕U_{4}^{S,+}(1) $ |
X:(1/2,0,0) | $X_{3}^{S,-}(1)⊕X_{4}^{S,+}(1) $ |
Y:(0,1/2,0) | $Y_{3}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{2}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1)⊕A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1)⊕B_{3}^{S}(1) $ |
C:(u,1/2,0) | $C_{2}^{S}(1)⊕C_{4}^{S}(1) $ |
D:(1/2,v,0) | $D_{2}^{S}(1)⊕D_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{3}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{2}^{S}(1)⊕E_{4}^{S}(1) $ |
G:(1/2,0,w) | $2G_{4}^{S}(1) $ |
H:(0,1/2,w) | $2H_{3}^{S}(1) $ |
Λ:(0,0,w) | $2Λ_{1}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{2}^{S}(1)⊕P_{4}^{S}(1) $ |
Q:(1/2,1/2,w) | $2Q_{2}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{3}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1) $ |
L:(1/2,v,w) | $2L_{2}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1) $ |
N:(u,1/2,w) | $2N_{2}^{S}(1) $ |
V:(u,v,0) | $V_{1}^{S}(1)⊕V_{2}^{S}(1) $ |
W:(u,v,1/2) | $W_{1}^{S}(1)⊕W_{2}^{S}(1) $ |
GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
k-vector | A'↑G(4) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,+}(1)⊕Γ_{4}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1)⊕R_{2}^{S,-}(1)⊕R_{3}^{S,+}(1)⊕R_{4}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{2}^{S,-}(1)⊕S_{3}^{S,+}(1)⊕S_{4}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{1}^{S,+}(1)⊕T_{2}^{S,-}(1)⊕T_{3}^{S,+}(1)⊕T_{4}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{1}^{S,+}(1)⊕U_{2}^{S,-}(1)⊕U_{3}^{S,+}(1)⊕U_{4}^{S,-}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1)⊕X_{2}^{S,-}(1)⊕X_{3}^{S,+}(1)⊕X_{4}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1)⊕Y_{2}^{S,-}(1)⊕Y_{3}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{2}^{S,-}(1)⊕Z_{3}^{S,+}(1)⊕Z_{4}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1)⊕A_{2}^{S}(1)⊕A_{3}^{S}(1)⊕A_{4}^{S}(1) $ |
B:(0,v,1/2) | $2B_{1}^{S}(1)⊕2B_{3}^{S}(1) $ |
C:(u,1/2,0) | $C_{1}^{S}(1)⊕C_{2}^{S}(1)⊕C_{3}^{S}(1)⊕C_{4}^{S}(1) $ |
D:(1/2,v,0) | $2D_{1}^{S}(1)⊕2D_{3}^{S}(1) $ |
Δ:(0,v,0) | $2Δ_{1}^{S}(1)⊕2Δ_{3}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{1}^{S}(1)⊕E_{2}^{S}(1)⊕E_{3}^{S}(1)⊕E_{4}^{S}(1) $ |
G:(1/2,0,w) | $2G_{1}^{S}(1)⊕2G_{3}^{S}(1) $ |
H:(0,1/2,w) | $2H_{1}^{S}(1)⊕2H_{3}^{S}(1) $ |
Λ:(0,0,w) | $2Λ_{1}^{S}(1)⊕2Λ_{3}^{S}(1) $ |
P:(1/2,v,1/2) | $2P_{1}^{S}(1)⊕2P_{3}^{S}(1) $ |
Q:(1/2,1/2,w) | $2Q_{1}^{S}(1)⊕2Q_{3}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1)⊕Σ_{3}^{S}(1)⊕Σ_{4}^{S}(1) $ |
K:(0,v,w) | $4K_{1}^{S}(1) $ |
L:(1/2,v,w) | $4L_{1}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1)⊕2M_{2}^{S}(1) $ |
N:(u,1/2,w) | $2N_{1}^{S}(1)⊕2N_{2}^{S}(1) $ |
V:(u,v,0) | $2V_{1}^{S}(1)⊕2V_{2}^{S}(1) $ |
W:(u,v,1/2) | $2W_{1}^{S}(1)⊕2W_{2}^{S}(1) $ |
GP:(u,v,w) | $4GP_{1}^{S}(1) $ |
k-vector | A'↑G(4) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,+}(1)⊕Γ_{4}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,-}(1)⊕R_{2}^{S,+}(1)⊕R_{3}^{S,-}(1)⊕R_{4}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,-}(1)⊕S_{2}^{S,+}(1)⊕S_{3}^{S,-}(1)⊕S_{4}^{S,+}(1) $ |
T:(0,1/2,1/2) | $T_{1}^{S,+}(1)⊕T_{2}^{S,-}(1)⊕T_{3}^{S,+}(1)⊕T_{4}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{1}^{S,-}(1)⊕U_{2}^{S,+}(1)⊕U_{3}^{S,-}(1)⊕U_{4}^{S,+}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,-}(1)⊕X_{2}^{S,+}(1)⊕X_{3}^{S,-}(1)⊕X_{4}^{S,+}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1)⊕Y_{2}^{S,-}(1)⊕Y_{3}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{2}^{S,-}(1)⊕Z_{3}^{S,+}(1)⊕Z_{4}^{S,-}(1) $ |
A:(u,0,1/2) | $A_{1}^{S}(1)⊕A_{2}^{S}(1)⊕A_{3}^{S}(1)⊕A_{4}^{S}(1) $ |
B:(0,v,1/2) | $2B_{1}^{S}(1)⊕2B_{3}^{S}(1) $ |
C:(u,1/2,0) | $C_{1}^{S}(1)⊕C_{2}^{S}(1)⊕C_{3}^{S}(1)⊕C_{4}^{S}(1) $ |
D:(1/2,v,0) | $2D_{2}^{S}(1)⊕2D_{4}^{S}(1) $ |
Δ:(0,v,0) | $2Δ_{1}^{S}(1)⊕2Δ_{3}^{S}(1) $ |
E:(u,1/2,1/2) | $E_{1}^{S}(1)⊕E_{2}^{S}(1)⊕E_{3}^{S}(1)⊕E_{4}^{S}(1) $ |
G:(1/2,0,w) | $2G_{2}^{S}(1)⊕2G_{4}^{S}(1) $ |
H:(0,1/2,w) | $2H_{1}^{S}(1)⊕2H_{3}^{S}(1) $ |
Λ:(0,0,w) | $2Λ_{1}^{S}(1)⊕2Λ_{3}^{S}(1) $ |
P:(1/2,v,1/2) | $2P_{2}^{S}(1)⊕2P_{4}^{S}(1) $ |
Q:(1/2,1/2,w) | $2Q_{2}^{S}(1)⊕2Q_{4}^{S}(1) $ |
Σ:(u,0,0) | $Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1)⊕Σ_{3}^{S}(1)⊕Σ_{4}^{S}(1) $ |
K:(0,v,w) | $4K_{1}^{S}(1) $ |
L:(1/2,v,w) | $4L_{2}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1)⊕2M_{2}^{S}(1) $ |
N:(u,1/2,w) | $2N_{1}^{S}(1)⊕2N_{2}^{S}(1) $ |
V:(u,v,0) | $2V_{1}^{S}(1)⊕2V_{2}^{S}(1) $ |
W:(u,v,1/2) | $2W_{1}^{S}(1)⊕2W_{2}^{S}(1) $ |
GP:(u,v,w) | $4GP_{1}^{S}(1) $ |
k-vector | A'↑G(4) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1)⊕R_{2}^{S,-}(1)⊕R_{3}^{S,-}(1)⊕R_{4}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{2}^{S,-}(1)⊕S_{3}^{S,-}(1)⊕S_{4}^{S,+}(1) $ |
T:(0,1/2,1/2) | $T_{1}^{S,+}(1)⊕T_{2}^{S,-}(1)⊕T_{3}^{S,-}(1)⊕T_{4}^{S,+}(1) $ |
U:(1/2,0,1/2) | $U_{1}^{S,+}(1)⊕U_{2}^{S,-}(1)⊕U_{3}^{S,-}(1)⊕U_{4}^{S,+}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1)⊕X_{2}^{S,-}(1)⊕X_{3}^{S,-}(1)⊕X_{4}^{S,+}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1)⊕Y_{2}^{S,-}(1)⊕Y_{3}^{S,-}(1)⊕Y_{4}^{S,+}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{2}^{S,-}(1)⊕Z_{3}^{S,-}(1)⊕Z_{4}^{S,+}(1) $ |
A:(u,0,1/2) | $2A_{1}^{S}(1)⊕2A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1)⊕B_{2}^{S}(1)⊕B_{3}^{S}(1)⊕B_{4}^{S}(1) $ |
C:(u,1/2,0) | $2C_{1}^{S}(1)⊕2C_{3}^{S}(1) $ |
D:(1/2,v,0) | $D_{1}^{S}(1)⊕D_{2}^{S}(1)⊕D_{3}^{S}(1)⊕D_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{4}^{S}(1) $ |
E:(u,1/2,1/2) | $2E_{1}^{S}(1)⊕2E_{3}^{S}(1) $ |
G:(1/2,0,w) | $2G_{1}^{S}(1)⊕2G_{4}^{S}(1) $ |
H:(0,1/2,w) | $2H_{1}^{S}(1)⊕2H_{4}^{S}(1) $ |
Λ:(0,0,w) | $2Λ_{1}^{S}(1)⊕2Λ_{4}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{1}^{S}(1)⊕P_{2}^{S}(1)⊕P_{3}^{S}(1)⊕P_{4}^{S}(1) $ |
Q:(1/2,1/2,w) | $2Q_{1}^{S}(1)⊕2Q_{4}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1)⊕2Σ_{3}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1)⊕2K_{2}^{S}(1) $ |
L:(1/2,v,w) | $2L_{1}^{S}(1)⊕2L_{2}^{S}(1) $ |
M:(u,0,w) | $4M_{1}^{S}(1) $ |
N:(u,1/2,w) | $4N_{1}^{S}(1) $ |
V:(u,v,0) | $2V_{1}^{S}(1)⊕2V_{2}^{S}(1) $ |
W:(u,v,1/2) | $2W_{1}^{S}(1)⊕2W_{2}^{S}(1) $ |
GP:(u,v,w) | $4GP_{1}^{S}(1) $ |
k-vector | A'↑G(4) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,+}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,-}(1)⊕R_{2}^{S,+}(1)⊕R_{3}^{S,+}(1)⊕R_{4}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,-}(1)⊕S_{2}^{S,+}(1)⊕S_{3}^{S,+}(1)⊕S_{4}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{1}^{S,-}(1)⊕T_{2}^{S,+}(1)⊕T_{3}^{S,+}(1)⊕T_{4}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{1}^{S,+}(1)⊕U_{2}^{S,-}(1)⊕U_{3}^{S,-}(1)⊕U_{4}^{S,+}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1)⊕X_{2}^{S,-}(1)⊕X_{3}^{S,-}(1)⊕X_{4}^{S,+}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,-}(1)⊕Y_{2}^{S,+}(1)⊕Y_{3}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{2}^{S,-}(1)⊕Z_{3}^{S,-}(1)⊕Z_{4}^{S,+}(1) $ |
A:(u,0,1/2) | $2A_{1}^{S}(1)⊕2A_{3}^{S}(1) $ |
B:(0,v,1/2) | $B_{1}^{S}(1)⊕B_{2}^{S}(1)⊕B_{3}^{S}(1)⊕B_{4}^{S}(1) $ |
C:(u,1/2,0) | $2C_{2}^{S}(1)⊕2C_{4}^{S}(1) $ |
D:(1/2,v,0) | $D_{1}^{S}(1)⊕D_{2}^{S}(1)⊕D_{3}^{S}(1)⊕D_{4}^{S}(1) $ |
Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{4}^{S}(1) $ |
E:(u,1/2,1/2) | $2E_{2}^{S}(1)⊕2E_{4}^{S}(1) $ |
G:(1/2,0,w) | $2G_{1}^{S}(1)⊕2G_{4}^{S}(1) $ |
H:(0,1/2,w) | $2H_{2}^{S}(1)⊕2H_{3}^{S}(1) $ |
Λ:(0,0,w) | $2Λ_{1}^{S}(1)⊕2Λ_{4}^{S}(1) $ |
P:(1/2,v,1/2) | $P_{1}^{S}(1)⊕P_{2}^{S}(1)⊕P_{3}^{S}(1)⊕P_{4}^{S}(1) $ |
Q:(1/2,1/2,w) | $2Q_{2}^{S}(1)⊕2Q_{3}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1)⊕2Σ_{3}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1)⊕2K_{2}^{S}(1) $ |
L:(1/2,v,w) | $2L_{1}^{S}(1)⊕2L_{2}^{S}(1) $ |
M:(u,0,w) | $4M_{1}^{S}(1) $ |
N:(u,1/2,w) | $4N_{2}^{S}(1) $ |
V:(u,v,0) | $2V_{1}^{S}(1)⊕2V_{2}^{S}(1) $ |
W:(u,v,1/2) | $2W_{1}^{S}(1)⊕2W_{2}^{S}(1) $ |
GP:(u,v,w) | $4GP_{1}^{S}(1) $ |
k-vector | A'↑G(4) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1)⊕R_{2}^{S,+}(1)⊕R_{3}^{S,-}(1)⊕R_{4}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{2}^{S,+}(1)⊕S_{3}^{S,-}(1)⊕S_{4}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{1}^{S,+}(1)⊕T_{2}^{S,+}(1)⊕T_{3}^{S,-}(1)⊕T_{4}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{1}^{S,+}(1)⊕U_{2}^{S,+}(1)⊕U_{3}^{S,-}(1)⊕U_{4}^{S,-}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1)⊕X_{2}^{S,+}(1)⊕X_{3}^{S,-}(1)⊕X_{4}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1)⊕Y_{2}^{S,+}(1)⊕Y_{3}^{S,-}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{2}^{S,+}(1)⊕Z_{3}^{S,-}(1)⊕Z_{4}^{S,-}(1) $ |
A:(u,0,1/2) | $2A_{1}^{S}(1)⊕2A_{4}^{S}(1) $ |
B:(0,v,1/2) | $2B_{1}^{S}(1)⊕2B_{4}^{S}(1) $ |
C:(u,1/2,0) | $2C_{1}^{S}(1)⊕2C_{4}^{S}(1) $ |
D:(1/2,v,0) | $2D_{1}^{S}(1)⊕2D_{4}^{S}(1) $ |
Δ:(0,v,0) | $2Δ_{1}^{S}(1)⊕2Δ_{4}^{S}(1) $ |
E:(u,1/2,1/2) | $2E_{1}^{S}(1)⊕2E_{4}^{S}(1) $ |
G:(1/2,0,w) | $G_{1}^{S}(1)⊕G_{2}^{S}(1)⊕G_{3}^{S}(1)⊕G_{4}^{S}(1) $ |
H:(0,1/2,w) | $H_{1}^{S}(1)⊕H_{2}^{S}(1)⊕H_{3}^{S}(1)⊕H_{4}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1)⊕Λ_{3}^{S}(1)⊕Λ_{4}^{S}(1) $ |
P:(1/2,v,1/2) | $2P_{1}^{S}(1)⊕2P_{4}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{1}^{S}(1)⊕Q_{2}^{S}(1)⊕Q_{3}^{S}(1)⊕Q_{4}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1)⊕2Σ_{4}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1)⊕2K_{2}^{S}(1) $ |
L:(1/2,v,w) | $2L_{1}^{S}(1)⊕2L_{2}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1)⊕2M_{2}^{S}(1) $ |
N:(u,1/2,w) | $2N_{1}^{S}(1)⊕2N_{2}^{S}(1) $ |
V:(u,v,0) | $4V_{1}^{S}(1) $ |
W:(u,v,1/2) | $4W_{1}^{S}(1) $ |
GP:(u,v,w) | $4GP_{1}^{S}(1) $ |
k-vector | A'↑G(4) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,-}(1)⊕R_{2}^{S,-}(1)⊕R_{3}^{S,+}(1)⊕R_{4}^{S,+}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{2}^{S,+}(1)⊕S_{3}^{S,-}(1)⊕S_{4}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{1}^{S,-}(1)⊕T_{2}^{S,-}(1)⊕T_{3}^{S,+}(1)⊕T_{4}^{S,+}(1) $ |
U:(1/2,0,1/2) | $U_{1}^{S,-}(1)⊕U_{2}^{S,-}(1)⊕U_{3}^{S,+}(1)⊕U_{4}^{S,+}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1)⊕X_{2}^{S,+}(1)⊕X_{3}^{S,-}(1)⊕X_{4}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1)⊕Y_{2}^{S,+}(1)⊕Y_{3}^{S,-}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,-}(1)⊕Z_{2}^{S,-}(1)⊕Z_{3}^{S,+}(1)⊕Z_{4}^{S,+}(1) $ |
A:(u,0,1/2) | $2A_{2}^{S}(1)⊕2A_{3}^{S}(1) $ |
B:(0,v,1/2) | $2B_{2}^{S}(1)⊕2B_{3}^{S}(1) $ |
C:(u,1/2,0) | $2C_{1}^{S}(1)⊕2C_{4}^{S}(1) $ |
D:(1/2,v,0) | $2D_{1}^{S}(1)⊕2D_{4}^{S}(1) $ |
Δ:(0,v,0) | $2Δ_{1}^{S}(1)⊕2Δ_{4}^{S}(1) $ |
E:(u,1/2,1/2) | $2E_{2}^{S}(1)⊕2E_{3}^{S}(1) $ |
G:(1/2,0,w) | $G_{1}^{S}(1)⊕G_{2}^{S}(1)⊕G_{3}^{S}(1)⊕G_{4}^{S}(1) $ |
H:(0,1/2,w) | $H_{1}^{S}(1)⊕H_{2}^{S}(1)⊕H_{3}^{S}(1)⊕H_{4}^{S}(1) $ |
Λ:(0,0,w) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1)⊕Λ_{3}^{S}(1)⊕Λ_{4}^{S}(1) $ |
P:(1/2,v,1/2) | $2P_{2}^{S}(1)⊕2P_{3}^{S}(1) $ |
Q:(1/2,1/2,w) | $Q_{1}^{S}(1)⊕Q_{2}^{S}(1)⊕Q_{3}^{S}(1)⊕Q_{4}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1)⊕2Σ_{4}^{S}(1) $ |
K:(0,v,w) | $2K_{1}^{S}(1)⊕2K_{2}^{S}(1) $ |
L:(1/2,v,w) | $2L_{1}^{S}(1)⊕2L_{2}^{S}(1) $ |
M:(u,0,w) | $2M_{1}^{S}(1)⊕2M_{2}^{S}(1) $ |
N:(u,1/2,w) | $2N_{1}^{S}(1)⊕2N_{2}^{S}(1) $ |
V:(u,v,0) | $4V_{1}^{S}(1) $ |
W:(u,v,1/2) | $4W_{2}^{S}(1) $ |
GP:(u,v,w) | $4GP_{1}^{S}(1) $ |
k-vector | A↑G(8) |
Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{1}^{S,-}(1)⊕Γ_{2}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,+}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,+}(1)⊕Γ_{4}^{S,-}(1) $ |
R:(1/2,1/2,1/2) | $R_{1}^{S,+}(1)⊕R_{1}^{S,-}(1)⊕R_{2}^{S,+}(1)⊕R_{2}^{S,-}(1)⊕R_{3}^{S,+}(1)⊕R_{3}^{S,-}(1)⊕R_{4}^{S,+}(1)⊕R_{4}^{S,-}(1) $ |
S:(1/2,1/2,0) | $S_{1}^{S,+}(1)⊕S_{1}^{S,-}(1)⊕S_{2}^{S,+}(1)⊕S_{2}^{S,-}(1)⊕S_{3}^{S,+}(1)⊕S_{3}^{S,-}(1)⊕S_{4}^{S,+}(1)⊕S_{4}^{S,-}(1) $ |
T:(0,1/2,1/2) | $T_{1}^{S,+}(1)⊕T_{1}^{S,-}(1)⊕T_{2}^{S,+}(1)⊕T_{2}^{S,-}(1)⊕T_{3}^{S,+}(1)⊕T_{3}^{S,-}(1)⊕T_{4}^{S,+}(1)⊕T_{4}^{S,-}(1) $ |
U:(1/2,0,1/2) | $U_{1}^{S,+}(1)⊕U_{1}^{S,-}(1)⊕U_{2}^{S,+}(1)⊕U_{2}^{S,-}(1)⊕U_{3}^{S,+}(1)⊕U_{3}^{S,-}(1)⊕U_{4}^{S,+}(1)⊕U_{4}^{S,-}(1) $ |
X:(1/2,0,0) | $X_{1}^{S,+}(1)⊕X_{1}^{S,-}(1)⊕X_{2}^{S,+}(1)⊕X_{2}^{S,-}(1)⊕X_{3}^{S,+}(1)⊕X_{3}^{S,-}(1)⊕X_{4}^{S,+}(1)⊕X_{4}^{S,-}(1) $ |
Y:(0,1/2,0) | $Y_{1}^{S,+}(1)⊕Y_{1}^{S,-}(1)⊕Y_{2}^{S,+}(1)⊕Y_{2}^{S,-}(1)⊕Y_{3}^{S,+}(1)⊕Y_{3}^{S,-}(1)⊕Y_{4}^{S,+}(1)⊕Y_{4}^{S,-}(1) $ |
Z:(0,0,1/2) | $Z_{1}^{S,+}(1)⊕Z_{1}^{S,-}(1)⊕Z_{2}^{S,+}(1)⊕Z_{2}^{S,-}(1)⊕Z_{3}^{S,+}(1)⊕Z_{3}^{S,-}(1)⊕Z_{4}^{S,+}(1)⊕Z_{4}^{S,-}(1) $ |
A:(u,0,1/2) | $2A_{1}^{S}(1)⊕2A_{2}^{S}(1)⊕2A_{3}^{S}(1)⊕2A_{4}^{S}(1) $ |
B:(0,v,1/2) | $2B_{1}^{S}(1)⊕2B_{2}^{S}(1)⊕2B_{3}^{S}(1)⊕2B_{4}^{S}(1) $ |
C:(u,1/2,0) | $2C_{1}^{S}(1)⊕2C_{2}^{S}(1)⊕2C_{3}^{S}(1)⊕2C_{4}^{S}(1) $ |
D:(1/2,v,0) | $2D_{1}^{S}(1)⊕2D_{2}^{S}(1)⊕2D_{3}^{S}(1)⊕2D_{4}^{S}(1) $ |
Δ:(0,v,0) | $2Δ_{1}^{S}(1)⊕2Δ_{2}^{S}(1)⊕2Δ_{3}^{S}(1)⊕2Δ_{4}^{S}(1) $ |
E:(u,1/2,1/2) | $2E_{1}^{S}(1)⊕2E_{2}^{S}(1)⊕2E_{3}^{S}(1)⊕2E_{4}^{S}(1) $ |
G:(1/2,0,w) | $2G_{1}^{S}(1)⊕2G_{2}^{S}(1)⊕2G_{3}^{S}(1)⊕2G_{4}^{S}(1) $ |
H:(0,1/2,w) | $2H_{1}^{S}(1)⊕2H_{2}^{S}(1)⊕2H_{3}^{S}(1)⊕2H_{4}^{S}(1) $ |
Λ:(0,0,w) | $2Λ_{1}^{S}(1)⊕2Λ_{2}^{S}(1)⊕2Λ_{3}^{S}(1)⊕2Λ_{4}^{S}(1) $ |
P:(1/2,v,1/2) | $2P_{1}^{S}(1)⊕2P_{2}^{S}(1)⊕2P_{3}^{S}(1)⊕2P_{4}^{S}(1) $ |
Q:(1/2,1/2,w) | $2Q_{1}^{S}(1)⊕2Q_{2}^{S}(1)⊕2Q_{3}^{S}(1)⊕2Q_{4}^{S}(1) $ |
Σ:(u,0,0) | $2Σ_{1}^{S}(1)⊕2Σ_{2}^{S}(1)⊕2Σ_{3}^{S}(1)⊕2Σ_{4}^{S}(1) $ |
K:(0,v,w) | $4K_{1}^{S}(1)⊕4K_{2}^{S}(1) $ |
L:(1/2,v,w) | $4L_{1}^{S}(1)⊕4L_{2}^{S}(1) $ |
M:(u,0,w) | $4M_{1}^{S}(1)⊕4M_{2}^{S}(1) $ |
N:(u,1/2,w) | $4N_{1}^{S}(1)⊕4N_{2}^{S}(1) $ |
V:(u,v,0) | $4V_{1}^{S}(1)⊕4V_{2}^{S}(1) $ |
W:(u,v,1/2) | $4W_{1}^{S}(1)⊕4W_{2}^{S}(1) $ |
GP:(u,v,w) | $8GP_{1}^{S}(1) $ |