crystod-mag -c 227_PPOSCAR_Y2Ir2O7 --element Ir

* Structure *
  Space group: Fd-3m (#227)
  Magnetic sites: Ir x 4
    Ir1: [0.125, 0.625, 0.625]
    Ir2: [0.625, 0.125, 0.625]
    Ir3: [0.625, 0.625, 0.125]
    Ir4: [0.625, 0.625, 0.625]

* Spin (axial-vector) Irreducible Representations of Ir sites *
  k point (primitive): GM [0.0, 0.0, 0.0]
    1.0 [GM2+(1)] + 1.0 [GM3+(2)] + 2.0 [GM4+(3)] + 1.0 [GM5+(3)]
  k point (primitive): L [0.5, 0.5, 0.5]
    2.0 [L1-(1)] + 1.0 [L2+(1)] + 1.0 [L2-(1)] + 1.0 [L3+(2)] + 3.0 [L3-(2)]
  k point (primitive): X [0.5, 0.0, 0.5]
    1.0 [X1(2)] + 2.0 [X2(2)] + 1.0 [X3(2)] + 2.0 [X4(2)]
  k point (primitive): W [0.5, 0.25, 0.75]
    3.0 [W2(2)] + 3.0 [W1(2)]

Use --qpoint to obtain the symmetry-adapted spin bases, MAGMOM lines, and VESTA files at one k point.




crystod-mag -c 227_PPOSCAR_Y2Ir2O7 --element Ir --qpoint 0 0 0

* Structure *
  Space group: Fd-3m (#227)
  Magnetic sites: Ir x 4
    Ir1: [0.125, 0.625, 0.625]
    Ir2: [0.625, 0.125, 0.625]
    Ir3: [0.625, 0.625, 0.125]
    Ir4: [0.625, 0.625, 0.625]

* Selected Q point *
  Selected q-point: GAMMA = [0.0, 0.0, 0.0]

* Spin (axial-vector) representation *
  Spin (axial-vector) representation on Ir sites: 12 dimensions
  Decomposition: GM2+(1) + GM3+(2) + 2 x GM4+(3) + GM5+(3)

* Symmetry-adapted spin bases *
  GM2+(1): dim 1 [AFM, octupole]
  GM3+(2): dim 2 [AFM, 32pole]
  GM4+(3): dim 3 [FM, dipole]
  GM4+(3): dim 3 [AFM, octupole]
  GM5+(3): dim 3 [AFM, octupole]

* GM2+(1) [AFM, octupole] *
  component comp1:
    Ir1: S = [ 0.5774, -0.5774, -0.5774]
    Ir2: S = [-0.5774,  0.5774, -0.5774]
    Ir3: S = [-0.5774, -0.5774,  0.5774]
    Ir4: S = [ 0.5774,  0.5774,  0.5774]
    net moment: [0.0, 0.0, 0.0]
    magnetic space group: Fd-3m' (BNS 227.131, type III), 48 operations, 24 with time reversal
    magnetic point group: m-3m'
    allowed by symmetry: net magnetization none; linear magnetoelectric effect none; piezomagnetism 1 component
    collinear order: noncollinear (not classified)
    spin directions (all atoms, POSCAR order):
      Y1: [0, 0, 0]
      Y2: [0, 0, 0]
      Y3: [0, 0, 0]
      Y4: [0, 0, 0]
      Ir5: [0.5774, -0.5774, -0.5774]
      Ir6: [-0.5774, 0.5774, -0.5774]
      Ir7: [-0.5774, -0.5774, 0.5774]
      Ir8: [0.5774, 0.5774, 0.5774]
      O9: [0, 0, 0]
      O10: [0, 0, 0]
      O11: [0, 0, 0]
      O12: [0, 0, 0]
      O13: [0, 0, 0]
      O14: [0, 0, 0]
      O15: [0, 0, 0]
      O16: [0, 0, 0]
      O17: [0, 0, 0]
      O18: [0, 0, 0]
      O19: [0, 0, 0]
      O20: [0, 0, 0]
      O21: [0, 0, 0]
      O22: [0, 0, 0]
    MAGMOM = 0 0 0   0 0 0   0 0 0   0 0 0   0.5774 -0.5774 -0.5774   -0.5774 0.5774 -0.5774   -0.5774 -0.5774 0.5774   0.5774 0.5774 0.5774   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0

* GM3+(2) [AFM, 32pole] *
  component comp1:
    Ir1: S = [ 0.8165,  0.4082,  0.4082]
    Ir2: S = [-0.8165, -0.4082,  0.4082]
    Ir3: S = [-0.8165,  0.4082, -0.4082]
    Ir4: S = [ 0.8165, -0.4082, -0.4082]
    net moment: [0.0, 0.0, 0.0]
    magnetic space group: I4_1'/am'd (BNS 141.554, type III), 16 operations, 8 with time reversal
    magnetic point group: 4'/mm'm
    allowed by symmetry: net magnetization none; linear magnetoelectric effect none; piezomagnetism 2 components
    collinear order: noncollinear (not classified)
    spin directions (all atoms, POSCAR order):
      Y1: [0, 0, 0]
      Y2: [0, 0, 0]
      Y3: [0, 0, 0]
      Y4: [0, 0, 0]
      Ir5: [0.8165, 0.4082, 0.4082]
      Ir6: [-0.8165, -0.4082, 0.4082]
      Ir7: [-0.8165, 0.4082, -0.4082]
      Ir8: [0.8165, -0.4082, -0.4082]
      O9: [0, 0, 0]
      O10: [0, 0, 0]
      O11: [0, 0, 0]
      O12: [0, 0, 0]
      O13: [0, 0, 0]
      O14: [0, 0, 0]
      O15: [0, 0, 0]
      O16: [0, 0, 0]
      O17: [0, 0, 0]
      O18: [0, 0, 0]
      O19: [0, 0, 0]
      O20: [0, 0, 0]
      O21: [0, 0, 0]
      O22: [0, 0, 0]
    MAGMOM = 0 0 0   0 0 0   0 0 0   0 0 0   0.8165 0.4082 0.4082   -0.8165 -0.4082 0.4082   -0.8165 0.4082 -0.4082   0.8165 -0.4082 -0.4082   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0
  component comp2:
    Ir1: S = [ 0.0000, -0.7071,  0.7071]
    Ir2: S = [-0.0000,  0.7071,  0.7071]
    Ir3: S = [-0.0000, -0.7071, -0.7071]
    Ir4: S = [ 0.0000,  0.7071, -0.7071]
    net moment: [0.0, 0.0, 0.0]
    magnetic space group: I4_1/amd (BNS 141.551, type I), 16 operations, 0 with time reversal
    magnetic point group: 4/mmm
    allowed by symmetry: net magnetization none; linear magnetoelectric effect none; piezomagnetism 1 component
    collinear order: noncollinear (not classified)
    spin directions (all atoms, POSCAR order):
      Y1: [0, 0, 0]
      Y2: [0, 0, 0]
      Y3: [0, 0, 0]
      Y4: [0, 0, 0]
      Ir5: [0.0000, -0.7071, 0.7071]
      Ir6: [-0.0000, 0.7071, 0.7071]
      Ir7: [-0.0000, -0.7071, -0.7071]
      Ir8: [0.0000, 0.7071, -0.7071]
      O9: [0, 0, 0]
      O10: [0, 0, 0]
      O11: [0, 0, 0]
      O12: [0, 0, 0]
      O13: [0, 0, 0]
      O14: [0, 0, 0]
      O15: [0, 0, 0]
      O16: [0, 0, 0]
      O17: [0, 0, 0]
      O18: [0, 0, 0]
      O19: [0, 0, 0]
      O20: [0, 0, 0]
      O21: [0, 0, 0]
      O22: [0, 0, 0]
    MAGMOM = 0 0 0   0 0 0   0 0 0   0 0 0   0.0000 -0.7071 0.7071   -0.0000 0.7071 0.7071   -0.0000 -0.7071 -0.7071   0.0000 0.7071 -0.7071   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0

* GM4+(3) [FM, dipole] *
  component z:
    Ir1: S = [ 0.0000, -0.0000,  1.0000]
    Ir2: S = [-0.0000,  0.0000,  1.0000]
    Ir3: S = [ 0.0000,  0.0000,  1.0000]
    Ir4: S = [-0.0000, -0.0000,  1.0000]
    net moment: [0.0, 0.0, 4.0]
    magnetic space group: I4_1/am'd' (BNS 141.557, type III), 16 operations, 8 with time reversal
    magnetic point group: 4/mm'm'
    allowed by symmetry: net magnetization along z; linear magnetoelectric effect none; piezomagnetism 3 components
    collinear order: ferromagnet
    spin directions (all atoms, POSCAR order):
      Y1: [0, 0, 0]
      Y2: [0, 0, 0]
      Y3: [0, 0, 0]
      Y4: [0, 0, 0]
      Ir5: [0.0000, -0.0000, 1.0000]
      Ir6: [-0.0000, 0.0000, 1.0000]
      Ir7: [0.0000, 0.0000, 1.0000]
      Ir8: [-0.0000, -0.0000, 1.0000]
      O9: [0, 0, 0]
      O10: [0, 0, 0]
      O11: [0, 0, 0]
      O12: [0, 0, 0]
      O13: [0, 0, 0]
      O14: [0, 0, 0]
      O15: [0, 0, 0]
      O16: [0, 0, 0]
      O17: [0, 0, 0]
      O18: [0, 0, 0]
      O19: [0, 0, 0]
      O20: [0, 0, 0]
      O21: [0, 0, 0]
      O22: [0, 0, 0]
    MAGMOM = 0 0 0   0 0 0   0 0 0   0 0 0   0.0000 -0.0000 1.0000   -0.0000 0.0000 1.0000   0.0000 0.0000 1.0000   -0.0000 -0.0000 1.0000   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0
  component x:
    Ir1: S = [ 1.0000,  0.0000,  0.0000]
    Ir2: S = [ 1.0000,  0.0000, -0.0000]
    Ir3: S = [ 1.0000, -0.0000,  0.0000]
    Ir4: S = [ 1.0000, -0.0000, -0.0000]
    net moment: [4.0, 0.0, 0.0]
    magnetic space group: I4_1/am'd' (BNS 141.557, type III), 16 operations, 8 with time reversal
    magnetic point group: 4/mm'm'
    allowed by symmetry: net magnetization along x; linear magnetoelectric effect none; piezomagnetism 3 components
    collinear order: ferromagnet
    spin directions (all atoms, POSCAR order):
      Y1: [0, 0, 0]
      Y2: [0, 0, 0]
      Y3: [0, 0, 0]
      Y4: [0, 0, 0]
      Ir5: [1.0000, 0.0000, 0.0000]
      Ir6: [1.0000, 0.0000, -0.0000]
      Ir7: [1.0000, -0.0000, 0.0000]
      Ir8: [1.0000, -0.0000, -0.0000]
      O9: [0, 0, 0]
      O10: [0, 0, 0]
      O11: [0, 0, 0]
      O12: [0, 0, 0]
      O13: [0, 0, 0]
      O14: [0, 0, 0]
      O15: [0, 0, 0]
      O16: [0, 0, 0]
      O17: [0, 0, 0]
      O18: [0, 0, 0]
      O19: [0, 0, 0]
      O20: [0, 0, 0]
      O21: [0, 0, 0]
      O22: [0, 0, 0]
    MAGMOM = 0 0 0   0 0 0   0 0 0   0 0 0   1.0000 0.0000 0.0000   1.0000 0.0000 -0.0000   1.0000 -0.0000 0.0000   1.0000 -0.0000 -0.0000   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0
  component y:
    Ir1: S = [ 0.0000,  1.0000, -0.0000]
    Ir2: S = [ 0.0000,  1.0000,  0.0000]
    Ir3: S = [-0.0000,  1.0000,  0.0000]
    Ir4: S = [-0.0000,  1.0000, -0.0000]
    net moment: [0.0, 4.0, 0.0]
    magnetic space group: I4_1/am'd' (BNS 141.557, type III), 16 operations, 8 with time reversal
    magnetic point group: 4/mm'm'
    allowed by symmetry: net magnetization along y; linear magnetoelectric effect none; piezomagnetism 3 components
    collinear order: ferromagnet
    spin directions (all atoms, POSCAR order):
      Y1: [0, 0, 0]
      Y2: [0, 0, 0]
      Y3: [0, 0, 0]
      Y4: [0, 0, 0]
      Ir5: [0.0000, 1.0000, -0.0000]
      Ir6: [0.0000, 1.0000, 0.0000]
      Ir7: [-0.0000, 1.0000, 0.0000]
      Ir8: [-0.0000, 1.0000, -0.0000]
      O9: [0, 0, 0]
      O10: [0, 0, 0]
      O11: [0, 0, 0]
      O12: [0, 0, 0]
      O13: [0, 0, 0]
      O14: [0, 0, 0]
      O15: [0, 0, 0]
      O16: [0, 0, 0]
      O17: [0, 0, 0]
      O18: [0, 0, 0]
      O19: [0, 0, 0]
      O20: [0, 0, 0]
      O21: [0, 0, 0]
      O22: [0, 0, 0]
    MAGMOM = 0 0 0   0 0 0   0 0 0   0 0 0   0.0000 1.0000 -0.0000   0.0000 1.0000 0.0000   -0.0000 1.0000 0.0000   -0.0000 1.0000 -0.0000   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0
  component 111:
    Ir1: S = [ 0.5774,  0.5774,  0.5774]
    Ir2: S = [ 0.5774,  0.5774,  0.5774]
    Ir3: S = [ 0.5774,  0.5774,  0.5774]
    Ir4: S = [ 0.5774,  0.5774,  0.5774]
    net moment: [2.309401, 2.309401, 2.309401]
    magnetic space group: R-3m' (BNS 166.101, type III), 12 operations, 6 with time reversal
    magnetic point group: -3m'
    allowed by symmetry: net magnetization along [111]; linear magnetoelectric effect none; piezomagnetism 4 components
    collinear order: ferromagnet
    spin directions (all atoms, POSCAR order):
      Y1: [0, 0, 0]
      Y2: [0, 0, 0]
      Y3: [0, 0, 0]
      Y4: [0, 0, 0]
      Ir5: [0.5774, 0.5774, 0.5774]
      Ir6: [0.5774, 0.5774, 0.5774]
      Ir7: [0.5774, 0.5774, 0.5774]
      Ir8: [0.5774, 0.5774, 0.5774]
      O9: [0, 0, 0]
      O10: [0, 0, 0]
      O11: [0, 0, 0]
      O12: [0, 0, 0]
      O13: [0, 0, 0]
      O14: [0, 0, 0]
      O15: [0, 0, 0]
      O16: [0, 0, 0]
      O17: [0, 0, 0]
      O18: [0, 0, 0]
      O19: [0, 0, 0]
      O20: [0, 0, 0]
      O21: [0, 0, 0]
      O22: [0, 0, 0]
    MAGMOM = 0 0 0   0 0 0   0 0 0   0 0 0   0.5774 0.5774 0.5774   0.5774 0.5774 0.5774   0.5774 0.5774 0.5774   0.5774 0.5774 0.5774   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0

* GM4+(3) [AFM, octupole] *
  component comp1:
    Ir1: S = [-0.7071,  0.7071,  0.0000]
    Ir2: S = [ 0.7071, -0.7071,  0.0000]
    Ir3: S = [-0.7071, -0.7071,  0.0000]
    Ir4: S = [ 0.7071,  0.7071,  0.0000]
    net moment: [0.0, 0.0, 0.0]
    magnetic space group: I4_1/am'd' (BNS 141.557, type III), 16 operations, 8 with time reversal
    magnetic point group: 4/mm'm'
    allowed by symmetry: net magnetization along z; linear magnetoelectric effect none; piezomagnetism 3 components
    collinear order: noncollinear (not classified)
    spin directions (all atoms, POSCAR order):
      Y1: [0, 0, 0]
      Y2: [0, 0, 0]
      Y3: [0, 0, 0]
      Y4: [0, 0, 0]
      Ir5: [-0.7071, 0.7071, 0.0000]
      Ir6: [0.7071, -0.7071, 0.0000]
      Ir7: [-0.7071, -0.7071, 0.0000]
      Ir8: [0.7071, 0.7071, 0.0000]
      O9: [0, 0, 0]
      O10: [0, 0, 0]
      O11: [0, 0, 0]
      O12: [0, 0, 0]
      O13: [0, 0, 0]
      O14: [0, 0, 0]
      O15: [0, 0, 0]
      O16: [0, 0, 0]
      O17: [0, 0, 0]
      O18: [0, 0, 0]
      O19: [0, 0, 0]
      O20: [0, 0, 0]
      O21: [0, 0, 0]
      O22: [0, 0, 0]
    MAGMOM = 0 0 0   0 0 0   0 0 0   0 0 0   -0.7071 0.7071 0.0000   0.7071 -0.7071 0.0000   -0.7071 -0.7071 0.0000   0.7071 0.7071 0.0000   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0
  component comp2:
    Ir1: S = [-0.0000, -0.7071, -0.7071]
    Ir2: S = [-0.0000, -0.7071,  0.7071]
    Ir3: S = [-0.0000,  0.7071, -0.7071]
    Ir4: S = [-0.0000,  0.7071,  0.7071]
    net moment: [-0.0, 0.0, 0.0]
    magnetic space group: I4_1/am'd' (BNS 141.557, type III), 16 operations, 8 with time reversal
    magnetic point group: 4/mm'm'
    allowed by symmetry: net magnetization along x; linear magnetoelectric effect none; piezomagnetism 3 components
    collinear order: noncollinear (not classified)
    spin directions (all atoms, POSCAR order):
      Y1: [0, 0, 0]
      Y2: [0, 0, 0]
      Y3: [0, 0, 0]
      Y4: [0, 0, 0]
      Ir5: [-0.0000, -0.7071, -0.7071]
      Ir6: [-0.0000, -0.7071, 0.7071]
      Ir7: [-0.0000, 0.7071, -0.7071]
      Ir8: [-0.0000, 0.7071, 0.7071]
      O9: [0, 0, 0]
      O10: [0, 0, 0]
      O11: [0, 0, 0]
      O12: [0, 0, 0]
      O13: [0, 0, 0]
      O14: [0, 0, 0]
      O15: [0, 0, 0]
      O16: [0, 0, 0]
      O17: [0, 0, 0]
      O18: [0, 0, 0]
      O19: [0, 0, 0]
      O20: [0, 0, 0]
      O21: [0, 0, 0]
      O22: [0, 0, 0]
    MAGMOM = 0 0 0   0 0 0   0 0 0   0 0 0   -0.0000 -0.7071 -0.7071   -0.0000 -0.7071 0.7071   -0.0000 0.7071 -0.7071   -0.0000 0.7071 0.7071   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0
  component comp3:
    Ir1: S = [-0.7071, -0.0000,  0.7071]
    Ir2: S = [-0.7071, -0.0000, -0.7071]
    Ir3: S = [ 0.7071, -0.0000, -0.7071]
    Ir4: S = [ 0.7071, -0.0000,  0.7071]
    net moment: [0.0, -0.0, 0.0]
    magnetic space group: I4_1/am'd' (BNS 141.557, type III), 16 operations, 8 with time reversal
    magnetic point group: 4/mm'm'
    allowed by symmetry: net magnetization along y; linear magnetoelectric effect none; piezomagnetism 3 components
    collinear order: noncollinear (not classified)
    spin directions (all atoms, POSCAR order):
      Y1: [0, 0, 0]
      Y2: [0, 0, 0]
      Y3: [0, 0, 0]
      Y4: [0, 0, 0]
      Ir5: [-0.7071, -0.0000, 0.7071]
      Ir6: [-0.7071, -0.0000, -0.7071]
      Ir7: [0.7071, -0.0000, -0.7071]
      Ir8: [0.7071, -0.0000, 0.7071]
      O9: [0, 0, 0]
      O10: [0, 0, 0]
      O11: [0, 0, 0]
      O12: [0, 0, 0]
      O13: [0, 0, 0]
      O14: [0, 0, 0]
      O15: [0, 0, 0]
      O16: [0, 0, 0]
      O17: [0, 0, 0]
      O18: [0, 0, 0]
      O19: [0, 0, 0]
      O20: [0, 0, 0]
      O21: [0, 0, 0]
      O22: [0, 0, 0]
    MAGMOM = 0 0 0   0 0 0   0 0 0   0 0 0   -0.7071 -0.0000 0.7071   -0.7071 -0.0000 -0.7071   0.7071 -0.0000 -0.7071   0.7071 -0.0000 0.7071   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0

* GM5+(3) [AFM, octupole] *
  component comp1:
    Ir1: S = [ 0.7071,  0.7071,  0.0000]
    Ir2: S = [-0.7071, -0.7071,  0.0000]
    Ir3: S = [ 0.7071, -0.7071,  0.0000]
    Ir4: S = [-0.7071,  0.7071,  0.0000]
    net moment: [0.0, 0.0, 0.0]
    magnetic space group: I4_1'/amd' (BNS 141.555, type III), 16 operations, 8 with time reversal
    magnetic point group: 4'/mmm'
    allowed by symmetry: net magnetization none; linear magnetoelectric effect none; piezomagnetism 2 components
    collinear order: noncollinear (not classified)
    spin directions (all atoms, POSCAR order):
      Y1: [0, 0, 0]
      Y2: [0, 0, 0]
      Y3: [0, 0, 0]
      Y4: [0, 0, 0]
      Ir5: [0.7071, 0.7071, 0.0000]
      Ir6: [-0.7071, -0.7071, 0.0000]
      Ir7: [0.7071, -0.7071, 0.0000]
      Ir8: [-0.7071, 0.7071, 0.0000]
      O9: [0, 0, 0]
      O10: [0, 0, 0]
      O11: [0, 0, 0]
      O12: [0, 0, 0]
      O13: [0, 0, 0]
      O14: [0, 0, 0]
      O15: [0, 0, 0]
      O16: [0, 0, 0]
      O17: [0, 0, 0]
      O18: [0, 0, 0]
      O19: [0, 0, 0]
      O20: [0, 0, 0]
      O21: [0, 0, 0]
      O22: [0, 0, 0]
    MAGMOM = 0 0 0   0 0 0   0 0 0   0 0 0   0.7071 0.7071 0.0000   -0.7071 -0.7071 0.0000   0.7071 -0.7071 0.0000   -0.7071 0.7071 0.0000   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0
  component comp2:
    Ir1: S = [ 0.0000,  0.7071, -0.7071]
    Ir2: S = [ 0.0000,  0.7071,  0.7071]
    Ir3: S = [ 0.0000, -0.7071, -0.7071]
    Ir4: S = [ 0.0000, -0.7071,  0.7071]
    net moment: [0.0, 0.0, 0.0]
    magnetic space group: I4_1'/amd' (BNS 141.555, type III), 16 operations, 8 with time reversal
    magnetic point group: 4'/mmm'
    allowed by symmetry: net magnetization none; linear magnetoelectric effect none; piezomagnetism 2 components
    collinear order: noncollinear (not classified)
    spin directions (all atoms, POSCAR order):
      Y1: [0, 0, 0]
      Y2: [0, 0, 0]
      Y3: [0, 0, 0]
      Y4: [0, 0, 0]
      Ir5: [0.0000, 0.7071, -0.7071]
      Ir6: [0.0000, 0.7071, 0.7071]
      Ir7: [0.0000, -0.7071, -0.7071]
      Ir8: [0.0000, -0.7071, 0.7071]
      O9: [0, 0, 0]
      O10: [0, 0, 0]
      O11: [0, 0, 0]
      O12: [0, 0, 0]
      O13: [0, 0, 0]
      O14: [0, 0, 0]
      O15: [0, 0, 0]
      O16: [0, 0, 0]
      O17: [0, 0, 0]
      O18: [0, 0, 0]
      O19: [0, 0, 0]
      O20: [0, 0, 0]
      O21: [0, 0, 0]
      O22: [0, 0, 0]
    MAGMOM = 0 0 0   0 0 0   0 0 0   0 0 0   0.0000 0.7071 -0.7071   0.0000 0.7071 0.7071   0.0000 -0.7071 -0.7071   0.0000 -0.7071 0.7071   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0
  component comp3:
    Ir1: S = [ 0.7071,  0.0000,  0.7071]
    Ir2: S = [ 0.7071,  0.0000, -0.7071]
    Ir3: S = [-0.7071,  0.0000, -0.7071]
    Ir4: S = [-0.7071,  0.0000,  0.7071]
    net moment: [0.0, 0.0, 0.0]
    magnetic space group: I4_1'/amd' (BNS 141.555, type III), 16 operations, 8 with time reversal
    magnetic point group: 4'/mmm'
    allowed by symmetry: net magnetization none; linear magnetoelectric effect none; piezomagnetism 2 components
    collinear order: noncollinear (not classified)
    spin directions (all atoms, POSCAR order):
      Y1: [0, 0, 0]
      Y2: [0, 0, 0]
      Y3: [0, 0, 0]
      Y4: [0, 0, 0]
      Ir5: [0.7071, 0.0000, 0.7071]
      Ir6: [0.7071, 0.0000, -0.7071]
      Ir7: [-0.7071, 0.0000, -0.7071]
      Ir8: [-0.7071, 0.0000, 0.7071]
      O9: [0, 0, 0]
      O10: [0, 0, 0]
      O11: [0, 0, 0]
      O12: [0, 0, 0]
      O13: [0, 0, 0]
      O14: [0, 0, 0]
      O15: [0, 0, 0]
      O16: [0, 0, 0]
      O17: [0, 0, 0]
      O18: [0, 0, 0]
      O19: [0, 0, 0]
      O20: [0, 0, 0]
      O21: [0, 0, 0]
      O22: [0, 0, 0]
    MAGMOM = 0 0 0   0 0 0   0 0 0   0 0 0   0.7071 0.0000 0.7071   0.7071 0.0000 -0.7071   -0.7071 0.0000 -0.7071   -0.7071 0.0000 0.7071   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0   0 0 0

* Magnetic groups and collinear classes *
basis                    component  MSG (BNS)             type  MPG      net magnetization  class
GM2+(1) [AFM, octupole]  comp1      Fd-3m' (227.131)      III   m-3m'    none               noncollinear
GM3+(2) [AFM, 32pole]    comp1      I4_1'/am'd (141.554)  III   4'/mm'm  none               noncollinear
GM3+(2) [AFM, 32pole]    comp2      I4_1/amd (141.551)    I     4/mmm    none               noncollinear
GM4+(3) [FM, dipole]     z          I4_1/am'd' (141.557)  III   4/mm'm'  along z            ferromagnet
GM4+(3) [FM, dipole]     x          I4_1/am'd' (141.557)  III   4/mm'm'  along x            ferromagnet
GM4+(3) [FM, dipole]     y          I4_1/am'd' (141.557)  III   4/mm'm'  along y            ferromagnet
GM4+(3) [FM, dipole]     111        R-3m' (166.101)       III   -3m'     along [111]        ferromagnet
GM4+(3) [AFM, octupole]  comp1      I4_1/am'd' (141.557)  III   4/mm'm'  along z            noncollinear
GM4+(3) [AFM, octupole]  comp2      I4_1/am'd' (141.557)  III   4/mm'm'  along x            noncollinear
GM4+(3) [AFM, octupole]  comp3      I4_1/am'd' (141.557)  III   4/mm'm'  along y            noncollinear
GM5+(3) [AFM, octupole]  comp1      I4_1'/amd' (141.555)  III   4'/mmm'  none               noncollinear
GM5+(3) [AFM, octupole]  comp2      I4_1'/amd' (141.555)  III   4'/mmm'  none               noncollinear
GM5+(3) [AFM, octupole]  comp3      I4_1'/amd' (141.555)  III   4'/mmm'  none               noncollinear

MSG: magnetic space group from the moment directions (BNS number, type I-IV);
MPG: magnetic point group; net magnetization: the direction allowed by symmetry;
class: from the signs of the moments along their common axis only (nonrelativistic).
MSG and MPG symbols are in the standard BNS setting; directions are in the Cartesian axes of the input cell.
component: the tag of the listing and of the VESTA file name (comp<N>: the N-th basis vector of its space).

* Output files *
  Spin basis written to: POSCAR_Y2Ir2O7_spin_GM2+_octupole_comp1.vesta
  Spin basis written to: POSCAR_Y2Ir2O7_spin_GM3+_32pole_comp1.vesta
  Spin basis written to: POSCAR_Y2Ir2O7_spin_GM3+_32pole_comp2.vesta
  Spin basis written to: POSCAR_Y2Ir2O7_spin_GM4+_dipole_z.vesta
  Spin basis written to: POSCAR_Y2Ir2O7_spin_GM4+_dipole_x.vesta
  Spin basis written to: POSCAR_Y2Ir2O7_spin_GM4+_dipole_y.vesta
  Spin basis written to: POSCAR_Y2Ir2O7_spin_GM4+_dipole_111.vesta
  Spin basis written to: POSCAR_Y2Ir2O7_spin_GM4+_octupole_comp1.vesta
  Spin basis written to: POSCAR_Y2Ir2O7_spin_GM4+_octupole_comp2.vesta
  Spin basis written to: POSCAR_Y2Ir2O7_spin_GM4+_octupole_comp3.vesta
  Spin basis written to: POSCAR_Y2Ir2O7_spin_GM5+_octupole_comp1.vesta
  Spin basis written to: POSCAR_Y2Ir2O7_spin_GM5+_octupole_comp2.vesta
  Spin basis written to: POSCAR_Y2Ir2O7_spin_GM5+_octupole_comp3.vesta

All AFM bases satisfy sum_i S_i = 0; FM entries carry the cluster dipole moment.
Reference: M.-T. Suzuki et al., PRB 95, 094406 (2017); PRB 99, 174407 (2019).
Reference (collinear classes): L. Smejkal, J. Sinova and T. Jungwirth, Phys. Rev. X 12, 031042 (2022).
