SC spinful D 1103 A1

Space dimension : 3

System : SC

Factor system : spinful

Symmetry type : magnetic space group

BNS number : 131.443

BNS symbol : P4₂/m'm'c'

Class : D

Pairing symmetry : A₁

Character table of A₁:

1	2₁₀₀	2₀₁₀	2₀₀₁	2_1-10	4₀₀₁⁺	4₀₀₁^-	2₁₁₀
1	1	1	1	1	1	1	1

k-space E₂-page
E₂^p,-n	p=0	p=1	p=2	p=3
n=0	0	0	0	Z
n=1	Z⁶	0	0	0
n=2	Z₂⁶	Z⁸	0	0
n=3	Z₂⁶	Z₂⁸	Z³+Z₂	0
n=4	0	Z₂⁹	Z₂⁴	Z
n=5	Z⁶	Z₂	Z₂⁴	Z₂
n=6	0	Z⁸	0	Z₂
n=7	0	0	Z³+Z₂	0

Real-space E²-page
E²_p,-n	p=0	p=1	p=2	p=3
n=0	0	Z⁸	Z₂⁴	Z₂
n=1	0	0	Z³+Z₂	Z₂
n=2	0	0	0	Z
n=3	Z⁶	0	0	0
n=4	0	Z⁸	0	0
n=5	Z₂⁶	0	Z³	0
n=6	Z₂⁶	Z₂⁸	0	Z
n=7	Z⁶	Z₂⁷	Z₂³	0

Candidate K-groups
K₀=K⁰	0
K_-1=K¹	0
K_-2=K²	0
K_-3=K³	Z¹⁸
K_-4=K⁴	0
K_-5=K⁵	Z₄⁶+Z₂²	Z₄⁷+Z₂	Z₄⁸	Z₈+Z₄⁵+Z₂²	Z₈+Z₄⁶+Z₂	Z₈+Z₄⁷	Z₈²+Z₄⁴+Z₂²	Z₈²+Z₄⁵+Z₂	Z₈²+Z₄⁶	Z₈³+Z₄³+Z₂²	Z₈³+Z₄⁴+Z₂	Z₈⁴+Z₄²+Z₂²	Z₄⁵+Z₂⁴	Z₄⁶+Z₂³	Z₄⁷+Z₂²	Z₄⁸+Z₂	Z₄⁹	Z₈+Z₄⁴+Z₂⁴	Z₈+Z₄⁵+Z₂³	Z₈+Z₄⁶+Z₂²	Z₈+Z₄⁷+Z₂	Z₈²+Z₄³+Z₂⁴	Z₈²+Z₄⁴+Z₂³	Z₈²+Z₄⁵+Z₂²	Z₈³+Z₄²+Z₂⁴	Z₈³+Z₄³+Z₂³	Z₈⁴+Z₄+Z₂⁴	Z₄⁴+Z₂⁶	Z₄⁵+Z₂⁵	Z₄⁶+Z₂⁴	Z₄⁷+Z₂³	Z₄⁸+Z₂²	Z₈+Z₄³+Z₂⁶	Z₈+Z₄⁴+Z₂⁵	Z₈+Z₄⁵+Z₂⁴	Z₈+Z₄⁶+Z₂³	Z₈²+Z₄²+Z₂⁶	Z₈²+Z₄³+Z₂⁵	Z₈²+Z₄⁴+Z₂⁴	Z₈³+Z₄+Z₂⁶	Z₈³+Z₄²+Z₂⁵	Z₈⁴+Z₂⁶	Z₄³+Z₂⁸	Z₄⁴+Z₂⁷	Z₄⁵+Z₂⁶	Z₄⁶+Z₂⁵	Z₄⁷+Z₂⁴	Z₈+Z₄²+Z₂⁸	Z₈+Z₄³+Z₂⁷	Z₈+Z₄⁴+Z₂⁶	Z₈+Z₄⁵+Z₂⁵	Z₈²+Z₄+Z₂⁸	Z₈²+Z₄²+Z₂⁷	Z₈²+Z₄³+Z₂⁶	Z₈³+Z₂⁸	Z₈³+Z₄+Z₂⁷	Z₄²+Z₂¹⁰	Z₄³+Z₂⁹	Z₄⁴+Z₂⁸	Z₄⁵+Z₂⁷	Z₄⁶+Z₂⁶	Z₈+Z₄+Z₂¹⁰	Z₈+Z₄²+Z₂⁹	Z₈+Z₄³+Z₂⁸	Z₈+Z₄⁴+Z₂⁷	Z₈²+Z₂¹⁰	Z₈²+Z₄+Z₂⁹	Z₈²+Z₄²+Z₂⁸	Z₈³+Z₂⁹	Z₄+Z₂¹²	Z₄²+Z₂¹¹	Z₄³+Z₂¹⁰	Z₄⁴+Z₂⁹	Z₄⁵+Z₂⁸	Z₈+Z₂¹²	Z₈+Z₄+Z₂¹¹	Z₈+Z₄²+Z₂¹⁰	Z₈+Z₄³+Z₂⁹	Z₈²+Z₂¹¹	Z₈²+Z₄+Z₂¹⁰	Z₂¹⁴	Z₄+Z₂¹³	Z₄²+Z₂¹²	Z₄³+Z₂¹¹	Z₄⁴+Z₂¹⁰	Z₈+Z₂¹³	Z₈+Z₄+Z₂¹²	Z₈+Z₄²+Z₂¹¹	Z₈²+Z₂¹²	Z₂¹⁵	Z₄+Z₂¹⁴	Z₄²+Z₂¹³	Z₄³+Z₂¹²	Z₈+Z₂¹⁴	Z₈+Z₄+Z₂¹³	Z₂¹⁶	Z₄+Z₂¹⁵	Z₄²+Z₂¹⁴	Z₈+Z₂¹⁵	Z₂¹⁷	Z₄+Z₂¹⁶	Z₂¹⁸
K_-6=K⁶	Z₄⁶+Z₂²	Z₄⁷+Z₂	Z₄⁸	Z₈+Z₄⁵+Z₂²	Z₈+Z₄⁶+Z₂	Z₈+Z₄⁷	Z₈²+Z₄⁴+Z₂²	Z₈²+Z₄⁵+Z₂	Z₈²+Z₄⁶	Z₈³+Z₄³+Z₂²	Z₈³+Z₄⁴+Z₂	Z₈⁴+Z₄²+Z₂²	Z₁₆+Z₄⁵+Z₂²	Z₁₆+Z₄⁶+Z₂	Z₁₆+Z₄⁷	Z₁₆+Z₈+Z₄⁴+Z₂²	Z₁₆+Z₈+Z₄⁵+Z₂	Z₁₆+Z₈²+Z₄³+Z₂²	Z₄⁵+Z₂⁴	Z₄⁶+Z₂³	Z₄⁷+Z₂²	Z₄⁸+Z₂	Z₄⁹	Z₈+Z₄⁴+Z₂⁴	Z₈+Z₄⁵+Z₂³	Z₈+Z₄⁶+Z₂²	Z₈+Z₄⁷+Z₂	Z₈²+Z₄³+Z₂⁴	Z₈²+Z₄⁴+Z₂³	Z₈²+Z₄⁵+Z₂²	Z₈³+Z₄²+Z₂⁴	Z₈³+Z₄³+Z₂³	Z₈⁴+Z₄+Z₂⁴	Z₁₆+Z₄⁴+Z₂⁴	Z₁₆+Z₄⁵+Z₂³	Z₁₆+Z₄⁶+Z₂²	Z₁₆+Z₈+Z₄³+Z₂⁴	Z₁₆+Z₈+Z₄⁴+Z₂³	Z₁₆+Z₈²+Z₄²+Z₂⁴	Z₄⁴+Z₂⁶	Z₄⁵+Z₂⁵	Z₄⁶+Z₂⁴	Z₄⁷+Z₂³	Z₄⁸+Z₂²	Z₈+Z₄³+Z₂⁶	Z₈+Z₄⁴+Z₂⁵	Z₈+Z₄⁵+Z₂⁴	Z₈+Z₄⁶+Z₂³	Z₈²+Z₄²+Z₂⁶	Z₈²+Z₄³+Z₂⁵	Z₈²+Z₄⁴+Z₂⁴	Z₈³+Z₄+Z₂⁶	Z₈³+Z₄²+Z₂⁵	Z₈⁴+Z₂⁶	Z₁₆+Z₄³+Z₂⁶	Z₁₆+Z₄⁴+Z₂⁵	Z₁₆+Z₄⁵+Z₂⁴	Z₁₆+Z₈+Z₄²+Z₂⁶	Z₁₆+Z₈+Z₄³+Z₂⁵	Z₁₆+Z₈²+Z₄+Z₂⁶	Z₄³+Z₂⁸	Z₄⁴+Z₂⁷	Z₄⁵+Z₂⁶	Z₄⁶+Z₂⁵	Z₄⁷+Z₂⁴	Z₈+Z₄²+Z₂⁸	Z₈+Z₄³+Z₂⁷	Z₈+Z₄⁴+Z₂⁶	Z₈+Z₄⁵+Z₂⁵	Z₈²+Z₄+Z₂⁸	Z₈²+Z₄²+Z₂⁷	Z₈²+Z₄³+Z₂⁶	Z₈³+Z₂⁸	Z₈³+Z₄+Z₂⁷	Z₁₆+Z₄²+Z₂⁸	Z₁₆+Z₄³+Z₂⁷	Z₁₆+Z₄⁴+Z₂⁶	Z₁₆+Z₈+Z₄+Z₂⁸	Z₁₆+Z₈+Z₄²+Z₂⁷	Z₁₆+Z₈²+Z₂⁸	Z₄²+Z₂¹⁰	Z₄³+Z₂⁹	Z₄⁴+Z₂⁸	Z₄⁵+Z₂⁷	Z₄⁶+Z₂⁶	Z₈+Z₄+Z₂¹⁰	Z₈+Z₄²+Z₂⁹	Z₈+Z₄³+Z₂⁸	Z₈+Z₄⁴+Z₂⁷	Z₈²+Z₂¹⁰	Z₈²+Z₄+Z₂⁹	Z₈²+Z₄²+Z₂⁸	Z₈³+Z₂⁹	Z₁₆+Z₄+Z₂¹⁰	Z₁₆+Z₄²+Z₂⁹	Z₁₆+Z₄³+Z₂⁸	Z₁₆+Z₈+Z₂¹⁰	Z₁₆+Z₈+Z₄+Z₂⁹	Z₄+Z₂¹²	Z₄²+Z₂¹¹	Z₄³+Z₂¹⁰	Z₄⁴+Z₂⁹	Z₄⁵+Z₂⁸	Z₈+Z₂¹²	Z₈+Z₄+Z₂¹¹	Z₈+Z₄²+Z₂¹⁰	Z₈+Z₄³+Z₂⁹	Z₈²+Z₂¹¹	Z₈²+Z₄+Z₂¹⁰	Z₁₆+Z₂¹²	Z₁₆+Z₄+Z₂¹¹	Z₁₆+Z₄²+Z₂¹⁰	Z₁₆+Z₈+Z₂¹¹	Z₂¹⁴	Z₄+Z₂¹³	Z₄²+Z₂¹²	Z₄³+Z₂¹¹	Z₄⁴+Z₂¹⁰	Z₈+Z₂¹³	Z₈+Z₄+Z₂¹²	Z₈+Z₄²+Z₂¹¹	Z₈²+Z₂¹²	Z₁₆+Z₂¹³	Z₁₆+Z₄+Z₂¹²	Z₂¹⁵	Z₄+Z₂¹⁴	Z₄²+Z₂¹³	Z₄³+Z₂¹²	Z₈+Z₂¹⁴	Z₈+Z₄+Z₂¹³	Z₁₆+Z₂¹⁴	Z₂¹⁶	Z₄+Z₂¹⁵	Z₄²+Z₂¹⁴	Z₈+Z₂¹⁵	Z₂¹⁷	Z₄+Z₂¹⁶	Z₂¹⁸
K_-7=K⁷	Z¹⁸	Z¹⁸+Z₂