Information of spin space group $P{\phantom{A}}_{\phantom{}}^{\phantom{\text{-}1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\text{-}1}\text{c}{\phantom{A}}_{\phantom{}}^{\phantom{\text{-}1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\text{-}1}\text{c}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$ ( nSSG:3.27.1.1 )

General Positions

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 ‖ 2001 | 0 }
-a, b, c+1/2 | -x, -y, -z	{ -1 ‖ m100 | 0 0 1/2 }
a, -b, c+1/2 | -x, -y, -z	{ -1 ‖ m010 | 0 0 1/2 }
a, b, c | -x, y, z	{ m ‖ 1 | 0 }
-a, -b, c | -x, y, z	{ m ‖ 2001 | 0 }
-a, b, c+1/2 | x, -y, -z	{ 2 ‖ m100 | 0 0 1/2 }
a, -b, c+1/2 | x, -y, -z	{ 2 ‖ m010 | 0 0 1/2 }

Wyckoff Positions

WP	Site symmetry	Representative
2a	$..{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(0,0,c | 0,0,z)
2b	$..{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(0,1/2,c | 0,0,z)
2c	$..{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(1/2,0,c | 0,0,z)
2d	$..{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(1/2,1/2,c | 0,0,z)
4e	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{1}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(a,b,c | 0,0,z)

Spin Brillouin Zone & k-little co-groups

Wavevector-k	Little co-group
Γ:(0,0,0)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
R:(1/2,1/2,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
S:(1/2,1/2,0)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
T:(0,1/2,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
U:(1/2,0,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
X:(1/2,0,0)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
Y:(0,1/2,0)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
Z:(0,0,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
A:(u,0,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
B:(0,v,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
C:(u,1/2,0)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
D:(1/2,v,0)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
Δ:(0,v,0)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
E:(u,1/2,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
G:(1/2,0,w)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
H:(0,1/2,w)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
Λ:(0,0,w)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
P:(1/2,v,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
Q:(1/2,1/2,w)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
Σ:(u,0,0)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
K:(0,v,w)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
L:(1/2,v,w)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
M:(u,0,w)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
N:(u,1/2,w)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
V:(u,v,0)	${\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
W:(u,v,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
GP:(u,v,w)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{1}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$

Spin Brillouin Zone

mmmP

Band Representations (Magnon)

2a

k-vector	k-vector-G↑	A↑G(2)
Γ:(0,0,0)	Γ:(0,0,0)	${\Gamma }_1^S(2)$
R:(1/2,1/2,-1/2)	E:(1/2,1/2,1/2)	$(R)E_1^S(2)$
S:(1/2,1/2,0)	A:(1/2,0,1/2)	$(S)A_1^S(2)$
T:(0,1/2,-1/2)	D:(0,1/2,1/2)	$(T)D_1^S(2)$
U:(1/2,0,-1/2)	C:(1/2,1/2,0)	$(U)C_1^S(2)$
X:(1/2,0,0)	Y:(1/2,0,0)	$(X)Y_1^S(2)$
Y:(0,1/2,0)	B:(0,0,1/2)	$(Y)B_1^S(2)$
Z:(0,0,-1/2)	Z:(0,1/2,0)	$Z_1^S(2)$
A:(u,0,-1/2)	G:(u,1/2,0)	$(A)G_1^S(2)$
B:(0,v,-1/2)	G:(0,1/2,v)	$(B)G_1^S(2)$
C:(u,1/2,0)	F:(u,0,1/2)	$(C)F_1^S(2)$
D:(1/2,v,0)	F:(1/2,0,v)	$(D)F_1^S(2)$
Δ:(0,v,0)	F:(0,0,v)	$(\Delta )F_1^S(2)$
E:(u,1/2,-1/2)	G:(u,1/2,1/2)	$(E)G_1^S(2)$
G:(1/2,0,w)	W:(1/2,-w,0)	$(G)W_1^S(2)$
H:(0,1/2,w)	V:(0,-w,1/2)	$(H)V_1^S(2)$
Λ:(0,0,w)	Λ:(0,-w,0)	${\Lambda }_1^S(2)$
P:(1/2,v,-1/2)	G:(1/2,1/2,v)	$(P)G_1^S(2)$
Q:(1/2,1/2,w)	U:(1/2,-w,1/2)	$(Q)U_1^S(2)$
Σ:(u,0,0)	F:(u,0,0)	$(\Sigma )F_1^S(2)$
K:(0,v,w)	GP:(0,-w,v)	$(K)G{P}_1^S(2)$
L:(1/2,v,w)	GP:(1/2,-w,v)	$(L)G{P}_1^S(2)$
M:(u,0,w)	GP:(u,-w,0)	$(M)G{P}_1^S(2)$
N:(u,1/2,w)	GP:(u,-w,1/2)	$(N)G{P}_1^S(2)$
V:(u,v,0)	F:(u,0,v)	$2(V)F_1^S(1)$	Spin Splitting
W:(u,v,-1/2)	G:(u,1/2,v)	$2(W)G_1^S(1)$	Spin Splitting
GP:(u,v,w)	GP:(u,-w,v)	$2G{P}_1^S(1)$	Spin Splitting

2b

k-vector	k-vector-G↑	A↑G(2)
Γ:(0,0,0)	Γ:(0,0,0)	${\Gamma }_1^S(2)$
R:(1/2,1/2,-1/2)	E:(1/2,1/2,1/2)	$(R)E_2^S(2)$
S:(1/2,1/2,0)	A:(1/2,0,1/2)	$(S)A_2^S(2)$
T:(0,1/2,-1/2)	D:(0,1/2,1/2)	$(T)D_1^S(2)$
U:(1/2,0,-1/2)	C:(1/2,1/2,0)	$(U)C_2^S(2)$
X:(1/2,0,0)	Y:(1/2,0,0)	$(X)Y_2^S(2)$
Y:(0,1/2,0)	B:(0,0,1/2)	$(Y)B_1^S(2)$
Z:(0,0,-1/2)	Z:(0,1/2,0)	$Z_1^S(2)$
A:(u,0,-1/2)	G:(u,1/2,0)	$(A)G_1^S(2)$
B:(0,v,-1/2)	G:(0,1/2,v)	$(B)G_1^S(2)$
C:(u,1/2,0)	F:(u,0,1/2)	$(C)F_1^S(2)$
D:(1/2,v,0)	F:(1/2,0,v)	$(D)F_1^S(2)$
Δ:(0,v,0)	F:(0,0,v)	$(\Delta )F_1^S(2)$
E:(u,1/2,-1/2)	G:(u,1/2,1/2)	$(E)G_1^S(2)$
G:(1/2,0,w)	W:(1/2,-w,0)	$(G)W_2^S(2)$
H:(0,1/2,w)	V:(0,-w,1/2)	$(H)V_1^S(2)$
Λ:(0,0,w)	Λ:(0,-w,0)	${\Lambda }_1^S(2)$
P:(1/2,v,-1/2)	G:(1/2,1/2,v)	$(P)G_1^S(2)$
Q:(1/2,1/2,w)	U:(1/2,-w,1/2)	$(Q)U_2^S(2)$
Σ:(u,0,0)	F:(u,0,0)	$(\Sigma )F_1^S(2)$
K:(0,v,w)	GP:(0,-w,v)	$(K)G{P}_1^S(2)$
L:(1/2,v,w)	GP:(1/2,-w,v)	$(L)G{P}_1^S(2)$
M:(u,0,w)	GP:(u,-w,0)	$(M)G{P}_1^S(2)$
N:(u,1/2,w)	GP:(u,-w,1/2)	$(N)G{P}_1^S(2)$
V:(u,v,0)	F:(u,0,v)	$2(V)F_1^S(1)$	Spin Splitting
W:(u,v,-1/2)	G:(u,1/2,v)	$2(W)G_1^S(1)$	Spin Splitting
GP:(u,v,w)	GP:(u,-w,v)	$2G{P}_1^S(1)$	Spin Splitting

2c

k-vector	k-vector-G↑	A↑G(2)
Γ:(0,0,0)	Γ:(0,0,0)	${\Gamma }_1^S(2)$
R:(1/2,1/2,-1/2)	E:(1/2,1/2,1/2)	$(R)E_2^S(2)$
S:(1/2,1/2,0)	A:(1/2,0,1/2)	$(S)A_2^S(2)$
T:(0,1/2,-1/2)	D:(0,1/2,1/2)	$(T)D_2^S(2)$
U:(1/2,0,-1/2)	C:(1/2,1/2,0)	$(U)C_1^S(2)$
X:(1/2,0,0)	Y:(1/2,0,0)	$(X)Y_1^S(2)$
Y:(0,1/2,0)	B:(0,0,1/2)	$(Y)B_2^S(2)$
Z:(0,0,-1/2)	Z:(0,1/2,0)	$Z_1^S(2)$
A:(u,0,-1/2)	G:(u,1/2,0)	$(A)G_1^S(2)$
B:(0,v,-1/2)	G:(0,1/2,v)	$(B)G_1^S(2)$
C:(u,1/2,0)	F:(u,0,1/2)	$(C)F_1^S(2)$
D:(1/2,v,0)	F:(1/2,0,v)	$(D)F_1^S(2)$
Δ:(0,v,0)	F:(0,0,v)	$(\Delta )F_1^S(2)$
E:(u,1/2,-1/2)	G:(u,1/2,1/2)	$(E)G_1^S(2)$
G:(1/2,0,w)	W:(1/2,-w,0)	$(G)W_1^S(2)$
H:(0,1/2,w)	V:(0,-w,1/2)	$(H)V_2^S(2)$
Λ:(0,0,w)	Λ:(0,-w,0)	${\Lambda }_1^S(2)$
P:(1/2,v,-1/2)	G:(1/2,1/2,v)	$(P)G_1^S(2)$
Q:(1/2,1/2,w)	U:(1/2,-w,1/2)	$(Q)U_2^S(2)$
Σ:(u,0,0)	F:(u,0,0)	$(\Sigma )F_1^S(2)$
K:(0,v,w)	GP:(0,-w,v)	$(K)G{P}_1^S(2)$
L:(1/2,v,w)	GP:(1/2,-w,v)	$(L)G{P}_1^S(2)$
M:(u,0,w)	GP:(u,-w,0)	$(M)G{P}_1^S(2)$
N:(u,1/2,w)	GP:(u,-w,1/2)	$(N)G{P}_1^S(2)$
V:(u,v,0)	F:(u,0,v)	$2(V)F_1^S(1)$	Spin Splitting
W:(u,v,-1/2)	G:(u,1/2,v)	$2(W)G_1^S(1)$	Spin Splitting
GP:(u,v,w)	GP:(u,-w,v)	$2G{P}_1^S(1)$	Spin Splitting

2d

k-vector	k-vector-G↑	A↑G(2)
Γ:(0,0,0)	Γ:(0,0,0)	${\Gamma }_1^S(2)$
R:(1/2,1/2,-1/2)	E:(1/2,1/2,1/2)	$(R)E_1^S(2)$
S:(1/2,1/2,0)	A:(1/2,0,1/2)	$(S)A_1^S(2)$
T:(0,1/2,-1/2)	D:(0,1/2,1/2)	$(T)D_2^S(2)$
U:(1/2,0,-1/2)	C:(1/2,1/2,0)	$(U)C_2^S(2)$
X:(1/2,0,0)	Y:(1/2,0,0)	$(X)Y_2^S(2)$
Y:(0,1/2,0)	B:(0,0,1/2)	$(Y)B_2^S(2)$
Z:(0,0,-1/2)	Z:(0,1/2,0)	$Z_1^S(2)$
A:(u,0,-1/2)	G:(u,1/2,0)	$(A)G_1^S(2)$
B:(0,v,-1/2)	G:(0,1/2,v)	$(B)G_1^S(2)$
C:(u,1/2,0)	F:(u,0,1/2)	$(C)F_1^S(2)$
D:(1/2,v,0)	F:(1/2,0,v)	$(D)F_1^S(2)$
Δ:(0,v,0)	F:(0,0,v)	$(\Delta )F_1^S(2)$
E:(u,1/2,-1/2)	G:(u,1/2,1/2)	$(E)G_1^S(2)$
G:(1/2,0,w)	W:(1/2,-w,0)	$(G)W_2^S(2)$
H:(0,1/2,w)	V:(0,-w,1/2)	$(H)V_2^S(2)$
Λ:(0,0,w)	Λ:(0,-w,0)	${\Lambda }_1^S(2)$
P:(1/2,v,-1/2)	G:(1/2,1/2,v)	$(P)G_1^S(2)$
Q:(1/2,1/2,w)	U:(1/2,-w,1/2)	$(Q)U_1^S(2)$
Σ:(u,0,0)	F:(u,0,0)	$(\Sigma )F_1^S(2)$
K:(0,v,w)	GP:(0,-w,v)	$(K)G{P}_1^S(2)$
L:(1/2,v,w)	GP:(1/2,-w,v)	$(L)G{P}_1^S(2)$
M:(u,0,w)	GP:(u,-w,0)	$(M)G{P}_1^S(2)$
N:(u,1/2,w)	GP:(u,-w,1/2)	$(N)G{P}_1^S(2)$
V:(u,v,0)	F:(u,0,v)	$2(V)F_1^S(1)$	Spin Splitting
W:(u,v,-1/2)	G:(u,1/2,v)	$2(W)G_1^S(1)$	Spin Splitting
GP:(u,v,w)	GP:(u,-w,v)	$2G{P}_1^S(1)$	Spin Splitting

4e

k-vector	k-vector-G↑	A↑G(4)
Γ:(0,0,0)	Γ:(0,0,0)	${\Gamma }_1^S(2)\oplus {\Gamma }_2^S(2)$
R:(1/2,1/2,-1/2)	E:(1/2,1/2,1/2)	$(R)E_1^S(2)\oplus (R)E_2^S(2)$
S:(1/2,1/2,0)	A:(1/2,0,1/2)	$(S)A_1^S(2)\oplus (S)A_2^S(2)$
T:(0,1/2,-1/2)	D:(0,1/2,1/2)	$(T)D_1^S(2)\oplus (T)D_2^S(2)$
U:(1/2,0,-1/2)	C:(1/2,1/2,0)	$(U)C_1^S(2)\oplus (U)C_2^S(2)$
X:(1/2,0,0)	Y:(1/2,0,0)	$(X)Y_1^S(2)\oplus (X)Y_2^S(2)$
Y:(0,1/2,0)	B:(0,0,1/2)	$(Y)B_1^S(2)\oplus (Y)B_2^S(2)$
Z:(0,0,-1/2)	Z:(0,1/2,0)	$Z_1^S(2)\oplus Z_2^S(2)$
A:(u,0,-1/2)	G:(u,1/2,0)	$2(A)G_1^S(2)$
B:(0,v,-1/2)	G:(0,1/2,v)	$2(B)G_1^S(2)$
C:(u,1/2,0)	F:(u,0,1/2)	$2(C)F_1^S(2)$
D:(1/2,v,0)	F:(1/2,0,v)	$2(D)F_1^S(2)$
Δ:(0,v,0)	F:(0,0,v)	$2(\Delta )F_1^S(2)$
E:(u,1/2,-1/2)	G:(u,1/2,1/2)	$2(E)G_1^S(2)$
G:(1/2,0,w)	W:(1/2,-w,0)	$(G)W_1^S(2)\oplus (G)W_2^S(2)$
H:(0,1/2,w)	V:(0,-w,1/2)	$(H)V_1^S(2)\oplus (H)V_2^S(2)$
Λ:(0,0,w)	Λ:(0,-w,0)	${\Lambda }_1^S(2)\oplus {\Lambda }_2^S(2)$
P:(1/2,v,-1/2)	G:(1/2,1/2,v)	$2(P)G_1^S(2)$
Q:(1/2,1/2,w)	U:(1/2,-w,1/2)	$(Q)U_1^S(2)\oplus (Q)U_2^S(2)$
Σ:(u,0,0)	F:(u,0,0)	$2(\Sigma )F_1^S(2)$
K:(0,v,w)	GP:(0,-w,v)	$2(K)G{P}_1^S(2)$
L:(1/2,v,w)	GP:(1/2,-w,v)	$2(L)G{P}_1^S(2)$
M:(u,0,w)	GP:(u,-w,0)	$2(M)G{P}_1^S(2)$
N:(u,1/2,w)	GP:(u,-w,1/2)	$2(N)G{P}_1^S(2)$
V:(u,v,0)	F:(u,0,v)	$4(V)F_1^S(1)$	Spin Splitting
W:(u,v,-1/2)	G:(u,1/2,v)	$4(W)G_1^S(1)$	Spin Splitting
GP:(u,v,w)	GP:(u,-w,v)	$4G{P}_1^S(1)$	Spin Splitting