SC spinful D 1598 A1

Space dimension : 3

System : SC

Factor system : spinful

Symmetry type : magnetic space group

BNS number : 221.96

BNS symbol : Pm'-3'm'

Class : D

Pairing symmetry : A₁

Character table of A₁:

1	2₁₀₀	2₀₁₀	2₀₀₁	3₁₁₁^-	3_-1-11^-	3_1-1-1-	3_-11-1^-	3₁₁₁⁺	3_-11-1⁺	3_-1-11⁺	3_1-1-1⁺	2_1-10	4₀₀₁⁺	4₀₀₁^-	2₁₁₀	2_01-1	2₀₁₁	4₁₀₀⁺	4₁₀₀^-	2_-101	4₀₁₀^-	2₁₀₁	4₀₁₀⁺
1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	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	Z¹⁰	0	0	0
n=2	Z₂¹⁰	Z⁸	0	0
n=3	Z₂¹⁰	Z₂⁸	Z³	0
n=4	0	Z₂⁸	Z₂³	Z
n=5	Z¹⁰	0	Z₂³	Z₂
n=6	0	Z⁸	0	Z₂
n=7	0	0	Z³	0

Real-space E²-page
E²_p,-n	p=0	p=1	p=2	p=3
n=0	0	Z⁸	Z₂³	Z₂
n=1	0	0	Z³	Z₂
n=2	0	0	0	Z
n=3	Z¹⁰	0	0	0
n=4	0	Z⁸	0	0
n=5	Z₂¹⁰	0	Z³	0
n=6	Z₂¹⁰	Z₂⁸	0	Z
n=7	Z¹⁰	Z₂⁸	Z₂³	0

Candidate K-groups
K₀=K⁰	0
K_-1=K¹	0
K_-2=K²	0
K_-3=K³	Z²²
K_-4=K⁴	0
K_-5=K⁵	Z₄⁸+Z₂²	Z₄⁹+Z₂	Z₄¹⁰	Z₈+Z₄⁷+Z₂²	Z₈+Z₄⁸+Z₂	Z₈+Z₄⁹	Z₈²+Z₄⁶+Z₂²	Z₈²+Z₄⁷+Z₂	Z₈²+Z₄⁸	Z₈³+Z₄⁵+Z₂²	Z₈³+Z₄⁶+Z₂	Z₈⁴+Z₄⁴+Z₂²	Z₁₆+Z₄⁷+Z₂²	Z₁₆+Z₄⁸+Z₂	Z₁₆+Z₄⁹	Z₁₆+Z₈+Z₄⁶+Z₂²	Z₁₆+Z₈+Z₄⁷+Z₂	Z₁₆+Z₈²+Z₄⁵+Z₂²	Z₄⁷+Z₂⁴	Z₄⁸+Z₂³	Z₄⁹+Z₂²	Z₄¹⁰+Z₂	Z₄¹¹	Z₈+Z₄⁶+Z₂⁴	Z₈+Z₄⁷+Z₂³	Z₈+Z₄⁸+Z₂²	Z₈+Z₄⁹+Z₂	Z₈²+Z₄⁵+Z₂⁴	Z₈²+Z₄⁶+Z₂³	Z₈²+Z₄⁷+Z₂²	Z₈³+Z₄⁴+Z₂⁴	Z₈³+Z₄⁵+Z₂³	Z₈⁴+Z₄³+Z₂⁴	Z₁₆+Z₄⁶+Z₂⁴	Z₁₆+Z₄⁷+Z₂³	Z₁₆+Z₄⁸+Z₂²	Z₁₆+Z₈+Z₄⁵+Z₂⁴	Z₁₆+Z₈+Z₄⁶+Z₂³	Z₁₆+Z₈²+Z₄⁴+Z₂⁴	Z₄⁶+Z₂⁶	Z₄⁷+Z₂⁵	Z₄⁸+Z₂⁴	Z₄⁹+Z₂³	Z₄¹⁰+Z₂²	Z₈+Z₄⁵+Z₂⁶	Z₈+Z₄⁶+Z₂⁵	Z₈+Z₄⁷+Z₂⁴	Z₈+Z₄⁸+Z₂³	Z₈²+Z₄⁴+Z₂⁶	Z₈²+Z₄⁵+Z₂⁵	Z₈²+Z₄⁶+Z₂⁴	Z₈³+Z₄³+Z₂⁶	Z₈³+Z₄⁴+Z₂⁵	Z₈⁴+Z₄²+Z₂⁶	Z₁₆+Z₄⁵+Z₂⁶	Z₁₆+Z₄⁶+Z₂⁵	Z₁₆+Z₄⁷+Z₂⁴	Z₁₆+Z₈+Z₄⁴+Z₂⁶	Z₁₆+Z₈+Z₄⁵+Z₂⁵	Z₁₆+Z₈²+Z₄³+Z₂⁶	Z₄⁵+Z₂⁸	Z₄⁶+Z₂⁷	Z₄⁷+Z₂⁶	Z₄⁸+Z₂⁵	Z₄⁹+Z₂⁴	Z₈+Z₄⁴+Z₂⁸	Z₈+Z₄⁵+Z₂⁷	Z₈+Z₄⁶+Z₂⁶	Z₈+Z₄⁷+Z₂⁵	Z₈²+Z₄³+Z₂⁸	Z₈²+Z₄⁴+Z₂⁷	Z₈²+Z₄⁵+Z₂⁶	Z₈³+Z₄²+Z₂⁸	Z₈³+Z₄³+Z₂⁷	Z₈⁴+Z₄+Z₂⁸	Z₁₆+Z₄⁴+Z₂⁸	Z₁₆+Z₄⁵+Z₂⁷	Z₁₆+Z₄⁶+Z₂⁶	Z₁₆+Z₈+Z₄³+Z₂⁸	Z₁₆+Z₈+Z₄⁴+Z₂⁷	Z₁₆+Z₈²+Z₄²+Z₂⁸	Z₄⁴+Z₂¹⁰	Z₄⁵+Z₂⁹	Z₄⁶+Z₂⁸	Z₄⁷+Z₂⁷	Z₄⁸+Z₂⁶	Z₈+Z₄³+Z₂¹⁰	Z₈+Z₄⁴+Z₂⁹	Z₈+Z₄⁵+Z₂⁸	Z₈+Z₄⁶+Z₂⁷	Z₈²+Z₄²+Z₂¹⁰	Z₈²+Z₄³+Z₂⁹	Z₈²+Z₄⁴+Z₂⁸	Z₈³+Z₄+Z₂¹⁰	Z₈³+Z₄²+Z₂⁹	Z₈⁴+Z₂¹⁰	Z₁₆+Z₄³+Z₂¹⁰	Z₁₆+Z₄⁴+Z₂⁹	Z₁₆+Z₄⁵+Z₂⁸	Z₁₆+Z₈+Z₄²+Z₂¹⁰	Z₁₆+Z₈+Z₄³+Z₂⁹	Z₁₆+Z₈²+Z₄+Z₂¹⁰	Z₄³+Z₂¹²	Z₄⁴+Z₂¹¹	Z₄⁵+Z₂¹⁰	Z₄⁶+Z₂⁹	Z₄⁷+Z₂⁸	Z₈+Z₄²+Z₂¹²	Z₈+Z₄³+Z₂¹¹	Z₈+Z₄⁴+Z₂¹⁰	Z₈+Z₄⁵+Z₂⁹	Z₈²+Z₄+Z₂¹²	Z₈²+Z₄²+Z₂¹¹	Z₈²+Z₄³+Z₂¹⁰	Z₈³+Z₂¹²	Z₈³+Z₄+Z₂¹¹	Z₁₆+Z₄²+Z₂¹²	Z₁₆+Z₄³+Z₂¹¹	Z₁₆+Z₄⁴+Z₂¹⁰	Z₁₆+Z₈+Z₄+Z₂¹²	Z₁₆+Z₈+Z₄²+Z₂¹¹	Z₁₆+Z₈²+Z₂¹²	Z₄²+Z₂¹⁴	Z₄³+Z₂¹³	Z₄⁴+Z₂¹²	Z₄⁵+Z₂¹¹	Z₄⁶+Z₂¹⁰	Z₈+Z₄+Z₂¹⁴	Z₈+Z₄²+Z₂¹³	Z₈+Z₄³+Z₂¹²	Z₈+Z₄⁴+Z₂¹¹	Z₈²+Z₂¹⁴	Z₈²+Z₄+Z₂¹³	Z₈²+Z₄²+Z₂¹²	Z₈³+Z₂¹³	Z₁₆+Z₄+Z₂¹⁴	Z₁₆+Z₄²+Z₂¹³	Z₁₆+Z₄³+Z₂¹²	Z₁₆+Z₈+Z₂¹⁴	Z₁₆+Z₈+Z₄+Z₂¹³	Z₄+Z₂¹⁶	Z₄²+Z₂¹⁵	Z₄³+Z₂¹⁴	Z₄⁴+Z₂¹³	Z₄⁵+Z₂¹²	Z₈+Z₂¹⁶	Z₈+Z₄+Z₂¹⁵	Z₈+Z₄²+Z₂¹⁴	Z₈+Z₄³+Z₂¹³	Z₈²+Z₂¹⁵	Z₈²+Z₄+Z₂¹⁴	Z₁₆+Z₂¹⁶	Z₁₆+Z₄+Z₂¹⁵	Z₁₆+Z₄²+Z₂¹⁴	Z₁₆+Z₈+Z₂¹⁵	Z₂¹⁸	Z₄+Z₂¹⁷	Z₄²+Z₂¹⁶	Z₄³+Z₂¹⁵	Z₄⁴+Z₂¹⁴	Z₈+Z₂¹⁷	Z₈+Z₄+Z₂¹⁶	Z₈+Z₄²+Z₂¹⁵	Z₈²+Z₂¹⁶	Z₁₆+Z₂¹⁷	Z₁₆+Z₄+Z₂¹⁶	Z₂¹⁹	Z₄+Z₂¹⁸	Z₄²+Z₂¹⁷	Z₄³+Z₂¹⁶	Z₈+Z₂¹⁸	Z₈+Z₄+Z₂¹⁷	Z₁₆+Z₂¹⁸	Z₂²⁰	Z₄+Z₂¹⁹	Z₄²+Z₂¹⁸	Z₈+Z₂¹⁹	Z₂²¹	Z₄+Z₂²⁰	Z₂²²
K_-6=K⁶	Z₄⁸+Z₂²	Z₄⁹+Z₂	Z₄¹⁰	Z₈+Z₄⁷+Z₂²	Z₈+Z₄⁸+Z₂	Z₈+Z₄⁹	Z₈²+Z₄⁶+Z₂²	Z₈²+Z₄⁷+Z₂	Z₈²+Z₄⁸	Z₈³+Z₄⁵+Z₂²	Z₈³+Z₄⁶+Z₂	Z₈⁴+Z₄⁴+Z₂²	Z₁₆+Z₄⁷+Z₂²	Z₁₆+Z₄⁸+Z₂	Z₁₆+Z₄⁹	Z₁₆+Z₈+Z₄⁶+Z₂²	Z₁₆+Z₈+Z₄⁷+Z₂	Z₁₆+Z₈²+Z₄⁵+Z₂²	Z₄⁷+Z₂⁴	Z₄⁸+Z₂³	Z₄⁹+Z₂²	Z₄¹⁰+Z₂	Z₄¹¹	Z₈+Z₄⁶+Z₂⁴	Z₈+Z₄⁷+Z₂³	Z₈+Z₄⁸+Z₂²	Z₈+Z₄⁹+Z₂	Z₈²+Z₄⁵+Z₂⁴	Z₈²+Z₄⁶+Z₂³	Z₈²+Z₄⁷+Z₂²	Z₈³+Z₄⁴+Z₂⁴	Z₈³+Z₄⁵+Z₂³	Z₈⁴+Z₄³+Z₂⁴	Z₁₆+Z₄⁶+Z₂⁴	Z₁₆+Z₄⁷+Z₂³	Z₁₆+Z₄⁸+Z₂²	Z₁₆+Z₈+Z₄⁵+Z₂⁴	Z₁₆+Z₈+Z₄⁶+Z₂³	Z₁₆+Z₈²+Z₄⁴+Z₂⁴	Z₄⁶+Z₂⁶	Z₄⁷+Z₂⁵	Z₄⁸+Z₂⁴	Z₄⁹+Z₂³	Z₄¹⁰+Z₂²	Z₈+Z₄⁵+Z₂⁶	Z₈+Z₄⁶+Z₂⁵	Z₈+Z₄⁷+Z₂⁴	Z₈+Z₄⁸+Z₂³	Z₈²+Z₄⁴+Z₂⁶	Z₈²+Z₄⁵+Z₂⁵	Z₈²+Z₄⁶+Z₂⁴	Z₈³+Z₄³+Z₂⁶	Z₈³+Z₄⁴+Z₂⁵	Z₈⁴+Z₄²+Z₂⁶	Z₁₆+Z₄⁵+Z₂⁶	Z₁₆+Z₄⁶+Z₂⁵	Z₁₆+Z₄⁷+Z₂⁴	Z₁₆+Z₈+Z₄⁴+Z₂⁶	Z₁₆+Z₈+Z₄⁵+Z₂⁵	Z₁₆+Z₈²+Z₄³+Z₂⁶	Z₄⁵+Z₂⁸	Z₄⁶+Z₂⁷	Z₄⁷+Z₂⁶	Z₄⁸+Z₂⁵	Z₄⁹+Z₂⁴	Z₈+Z₄⁴+Z₂⁸	Z₈+Z₄⁵+Z₂⁷	Z₈+Z₄⁶+Z₂⁶	Z₈+Z₄⁷+Z₂⁵	Z₈²+Z₄³+Z₂⁸	Z₈²+Z₄⁴+Z₂⁷	Z₈²+Z₄⁵+Z₂⁶	Z₈³+Z₄²+Z₂⁸	Z₈³+Z₄³+Z₂⁷	Z₈⁴+Z₄+Z₂⁸	Z₁₆+Z₄⁴+Z₂⁸	Z₁₆+Z₄⁵+Z₂⁷	Z₁₆+Z₄⁶+Z₂⁶	Z₁₆+Z₈+Z₄³+Z₂⁸	Z₁₆+Z₈+Z₄⁴+Z₂⁷	Z₁₆+Z₈²+Z₄²+Z₂⁸	Z₄⁴+Z₂¹⁰	Z₄⁵+Z₂⁹	Z₄⁶+Z₂⁸	Z₄⁷+Z₂⁷	Z₄⁸+Z₂⁶	Z₈+Z₄³+Z₂¹⁰	Z₈+Z₄⁴+Z₂⁹	Z₈+Z₄⁵+Z₂⁸	Z₈+Z₄⁶+Z₂⁷	Z₈²+Z₄²+Z₂¹⁰	Z₈²+Z₄³+Z₂⁹	Z₈²+Z₄⁴+Z₂⁸	Z₈³+Z₄+Z₂¹⁰	Z₈³+Z₄²+Z₂⁹	Z₈⁴+Z₂¹⁰	Z₁₆+Z₄³+Z₂¹⁰	Z₁₆+Z₄⁴+Z₂⁹	Z₁₆+Z₄⁵+Z₂⁸	Z₁₆+Z₈+Z₄²+Z₂¹⁰	Z₁₆+Z₈+Z₄³+Z₂⁹	Z₁₆+Z₈²+Z₄+Z₂¹⁰	Z₄³+Z₂¹²	Z₄⁴+Z₂¹¹	Z₄⁵+Z₂¹⁰	Z₄⁶+Z₂⁹	Z₄⁷+Z₂⁸	Z₈+Z₄²+Z₂¹²	Z₈+Z₄³+Z₂¹¹	Z₈+Z₄⁴+Z₂¹⁰	Z₈+Z₄⁵+Z₂⁹	Z₈²+Z₄+Z₂¹²	Z₈²+Z₄²+Z₂¹¹	Z₈²+Z₄³+Z₂¹⁰	Z₈³+Z₂¹²	Z₈³+Z₄+Z₂¹¹	Z₁₆+Z₄²+Z₂¹²	Z₁₆+Z₄³+Z₂¹¹	Z₁₆+Z₄⁴+Z₂¹⁰	Z₁₆+Z₈+Z₄+Z₂¹²	Z₁₆+Z₈+Z₄²+Z₂¹¹	Z₁₆+Z₈²+Z₂¹²	Z₄²+Z₂¹⁴	Z₄³+Z₂¹³	Z₄⁴+Z₂¹²	Z₄⁵+Z₂¹¹	Z₄⁶+Z₂¹⁰	Z₈+Z₄+Z₂¹⁴	Z₈+Z₄²+Z₂¹³	Z₈+Z₄³+Z₂¹²	Z₈+Z₄⁴+Z₂¹¹	Z₈²+Z₂¹⁴	Z₈²+Z₄+Z₂¹³	Z₈²+Z₄²+Z₂¹²	Z₈³+Z₂¹³	Z₁₆+Z₄+Z₂¹⁴	Z₁₆+Z₄²+Z₂¹³	Z₁₆+Z₄³+Z₂¹²	Z₁₆+Z₈+Z₂¹⁴	Z₁₆+Z₈+Z₄+Z₂¹³	Z₄+Z₂¹⁶	Z₄²+Z₂¹⁵	Z₄³+Z₂¹⁴	Z₄⁴+Z₂¹³	Z₄⁵+Z₂¹²	Z₈+Z₂¹⁶	Z₈+Z₄+Z₂¹⁵	Z₈+Z₄²+Z₂¹⁴	Z₈+Z₄³+Z₂¹³	Z₈²+Z₂¹⁵	Z₈²+Z₄+Z₂¹⁴	Z₁₆+Z₂¹⁶	Z₁₆+Z₄+Z₂¹⁵	Z₁₆+Z₄²+Z₂¹⁴	Z₁₆+Z₈+Z₂¹⁵	Z₂¹⁸	Z₄+Z₂¹⁷	Z₄²+Z₂¹⁶	Z₄³+Z₂¹⁵	Z₄⁴+Z₂¹⁴	Z₈+Z₂¹⁷	Z₈+Z₄+Z₂¹⁶	Z₈+Z₄²+Z₂¹⁵	Z₈²+Z₂¹⁶	Z₁₆+Z₂¹⁷	Z₁₆+Z₄+Z₂¹⁶	Z₂¹⁹	Z₄+Z₂¹⁸	Z₄²+Z₂¹⁷	Z₄³+Z₂¹⁶	Z₈+Z₂¹⁸	Z₈+Z₄+Z₂¹⁷	Z₁₆+Z₂¹⁸	Z₂²⁰	Z₄+Z₂¹⁹	Z₄²+Z₂¹⁸	Z₈+Z₂¹⁹	Z₂²¹	Z₄+Z₂²⁰	Z₂²²
K_-7=K⁷	Z²²