# Basis: submitted structure 'GdAuGe_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: P6_3mc (186)
Magnetic Phase: AFM(Altermagnet)
Oriented SSG: 186.156.1.1.L
SSG Symbol (Chen-Liu): P -1|6_{3} 1|m -1|c infinity_{001}m|1
G0: P6_3mc (186)
L0: P3m1 (156)
Effective MPG: 6mm1'
Spin-Only Group Type: Collinear(axis=[0. 0. 1.])
MSG with SOC: P6_3'm'c (BNS 186.205, OG 186.3.1436)
MSG without SOC: P6_3'mc' (BNS 186.206), Type III

Full space-group operations: 12
Unique point operations: 12
----------------------------------------
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:
[[ 1 -1  0]
 [ 1  0  0]
 [ 0  0  1]]
  Translation:
[0.  0.  0.5]
  Spin Rotation:
[[ 1.  0.  0.]
 [-0.  1. -0.]
 [-0.  0. -1.]]
--------------------
Operation 3:
  Rotation:
[[ 0  1  0]
 [-1  1  0]
 [ 0  0  1]]
  Translation:
[0.  0.  0.5]
  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.  0.  0.5]
  Spin Rotation:
[[ 1.  0.  0.]
 [-0.  1. -0.]
 [-0.  0. -1.]]
--------------------
Operation 6:
  Rotation:
[[ 1  0  0]
 [ 1 -1  0]
 [ 0  0  1]]
  Translation:
[0. 0. 0.]
  Spin Rotation:
[[1. 0. 0.]
 [0. 1. 0.]
 [0. 0. 1.]]
--------------------
Operation 7:
  Rotation:
[[-1  1  0]
 [ 0  1  0]
 [ 0  0  1]]
  Translation:
[0. 0. 0.]
  Spin Rotation:
[[1. 0. 0.]
 [0. 1. 0.]
 [0. 0. 1.]]
--------------------
Operation 8:
  Rotation:
[[ 1 -1  0]
 [ 0 -1  0]
 [ 0  0  1]]
  Translation:
[0.  0.  0.5]
  Spin Rotation:
[[ 1.  0.  0.]
 [-0.  1. -0.]
 [-0.  0. -1.]]
--------------------
Operation 9:
  Rotation:
[[-1  0  0]
 [-1  1  0]
 [ 0  0  1]]
  Translation:
[0.  0.  0.5]
  Spin Rotation:
[[ 1.  0.  0.]
 [-0.  1. -0.]
 [-0.  0. -1.]]
--------------------
Operation 10:
  Rotation:
[[ 0 -1  0]
 [ 1 -1  0]
 [ 0  0  1]]
  Translation:
[0. 0. 0.]
  Spin Rotation:
[[1. 0. 0.]
 [0. 1. 0.]
 [0. 0. 1.]]
--------------------
Operation 11:
  Rotation:
[[-1  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:
[[-1  0  0]
 [ 0 -1  0]
 [ 0  0  1]]
  Translation:
[0.  0.  0.5]
  Spin Rotation:
[[ 1.  0.  0.]
 [-0.  1. -0.]
 [-0.  0. -1.]]
--------------------
