# Basis: submitted structure 'MnF2_POSCAR.vasp' real-space fractional basis (a1, a2, a3).
# Convention: x' = R x + t for fractional real-space column coordinates.
========================================
SPIN SYMMETRY LOG
========================================

Non-Magnetic Label: P4_2/mnm (136)
Magnetic Phase: AFM(Altermagnet)
Oriented SSG: 136.65.1.1.L
SSG Symbol (Chen-Liu): P -1|4_{2}/ 1|m -1|n 1|m infinity_{001}m|1
G0: P4_2/mnm (136)
L0: Cmmm (65)
Effective MPG: 4/mmm1'
Spin-Only Group Type: Collinear(axis=[0. 0. 1.])
MSG with SOC: P4_2'/mnm' (BNS 136.499, OG 136.5.1156)
MSG without SOC: P4_2'/mn'm (BNS 136.498), Type III

Full space-group operations: 16
Unique point operations: 16
----------------------------------------
Operation 1:
  Rotation:
[[1 0 0]
 [0 1 0]
 [0 0 1]]
  Translation:
[0. 0. 0.]
  Spin Rotation:
[[1. 0. 0.]
 [0. 1. 0.]
 [0. 0. 1.]]
--------------------
Operation 2:
  Rotation:
[[0 1 0]
 [1 0 0]
 [0 0 1]]
  Translation:
[0. 0. 0.]
  Spin Rotation:
[[1. 0. 0.]
 [0. 1. 0.]
 [0. 0. 1.]]
--------------------
Operation 3:
  Rotation:
[[ 1  0  0]
 [ 0  1  0]
 [ 0  0 -1]]
  Translation:
[0. 0. 0.]
  Spin Rotation:
[[1. 0. 0.]
 [0. 1. 0.]
 [0. 0. 1.]]
--------------------
Operation 4:
  Rotation:
[[ 0 -1  0]
 [-1  0  0]
 [ 0  0  1]]
  Translation:
[0. 0. 0.]
  Spin Rotation:
[[1. 0. 0.]
 [0. 1. 0.]
 [0. 0. 1.]]
--------------------
Operation 5:
  Rotation:
[[ 0 -1  0]
 [ 1  0  0]
 [ 0  0  1]]
  Translation:
[0.5 0.5 0.5]
  Spin Rotation:
[[ 1.  0.  0.]
 [-0.  1. -0.]
 [-0.  0. -1.]]
--------------------
Operation 6:
  Rotation:
[[ 0  1  0]
 [-1  0  0]
 [ 0  0  1]]
  Translation:
[0.5 0.5 0.5]
  Spin Rotation:
[[ 1.  0.  0.]
 [-0.  1. -0.]
 [-0.  0. -1.]]
--------------------
Operation 7:
  Rotation:
[[-1  0  0]
 [ 0  1  0]
 [ 0  0  1]]
  Translation:
[0.5 0.5 0.5]
  Spin Rotation:
[[ 1.  0.  0.]
 [-0.  1. -0.]
 [-0.  0. -1.]]
--------------------
Operation 8:
  Rotation:
[[ 1  0  0]
 [ 0 -1  0]
 [ 0  0  1]]
  Translation:
[0.5 0.5 0.5]
  Spin Rotation:
[[ 1.  0.  0.]
 [-0.  1. -0.]
 [-0.  0. -1.]]
--------------------
Operation 9:
  Rotation:
[[-1  0  0]
 [ 0 -1  0]
 [ 0  0  1]]
  Translation:
[0. 0. 0.]
  Spin Rotation:
[[1. 0. 0.]
 [0. 1. 0.]
 [0. 0. 1.]]
--------------------
Operation 10:
  Rotation:
[[ 0  1  0]
 [ 1  0  0]
 [ 0  0 -1]]
  Translation:
[0. 0. 0.]
  Spin Rotation:
[[1. 0. 0.]
 [0. 1. 0.]
 [0. 0. 1.]]
--------------------
Operation 11:
  Rotation:
[[ 0 -1  0]
 [-1  0  0]
 [ 0  0 -1]]
  Translation:
[0. 0. 0.]
  Spin Rotation:
[[1. 0. 0.]
 [0. 1. 0.]
 [0. 0. 1.]]
--------------------
Operation 12:
  Rotation:
[[ 0  1  0]
 [-1  0  0]
 [ 0  0 -1]]
  Translation:
[0.5 0.5 0.5]
  Spin Rotation:
[[ 1.  0.  0.]
 [-0.  1. -0.]
 [-0.  0. -1.]]
--------------------
Operation 13:
  Rotation:
[[ 0 -1  0]
 [ 1  0  0]
 [ 0  0 -1]]
  Translation:
[0.5 0.5 0.5]
  Spin Rotation:
[[ 1.  0.  0.]
 [-0.  1. -0.]
 [-0.  0. -1.]]
--------------------
Operation 14:
  Rotation:
[[ 1  0  0]
 [ 0 -1  0]
 [ 0  0 -1]]
  Translation:
[0.5 0.5 0.5]
  Spin Rotation:
[[ 1.  0.  0.]
 [-0.  1. -0.]
 [-0.  0. -1.]]
--------------------
Operation 15:
  Rotation:
[[-1  0  0]
 [ 0  1  0]
 [ 0  0 -1]]
  Translation:
[0.5 0.5 0.5]
  Spin Rotation:
[[ 1.  0.  0.]
 [-0.  1. -0.]
 [-0.  0. -1.]]
--------------------
Operation 16:
  Rotation:
[[-1  0  0]
 [ 0 -1  0]
 [ 0  0 -1]]
  Translation:
[0. 0. 0.]
  Spin Rotation:
[[1. 0. 0.]
 [0. 1. 0.]
 [0. 0. 1.]]
--------------------
