Changeset 170


Ignore:
Timestamp:
Nov 2, 2010 5:04:27 PM (11 years ago)
Author:
toby
Message:

updates for self tests: update test input to reflectformatting changes in SGprint; adapt to change in use of MoveToUnitCell? & add better diagnostics to some tests; fix path to work when run from other locations

Location:
trunk
Files:
3 edited

Legend:

Unmodified
Added
Removed
  • trunk/GSASIIpath.py

    r93 r170  
    11# determine a binary path for the pyd files based on the host OS and the python version, 
    2 # path is relative to location of this file
    3 #this must be imported before anything that imports any pyd file for GSASII
     2# path is relative to location of the script that is called as well as this file
     3# this must be imported before anything that imports any .pyd/.so file for GSASII
    44import os.path as ospath
    55import sys
     
    1111elif sys.platform == "linux2":
    1212    bindir = 'binlinux%d.%d' % sys.version_info[0:2]
    13 if bindir:
    14     if ospath.exists(ospath.join(sys.path[0],bindir)) and ospath.join(sys.path[0],bindir) not in sys.path:
    15         sys.path.insert(0,ospath.join(sys.path[0],bindir))
    16 # is there a bin directory? (created by a local compile), if so put
    17 # that at the top of the path
    18 if ospath.exists(ospath.join(sys.path[0],'bin')):
    19     bindir = 'bin'
    20     if ospath.join(sys.path[0],'bin') not in sys.path:
    21         sys.path.insert(0,ospath.join(sys.path[0],bindir))
     13for loc in sys.path[0],ospath.split(__file__)[0]:
     14    if bindir:
     15        if ospath.exists(ospath.join(loc,bindir)) and ospath.join(loc,bindir) not in sys.path:
     16            sys.path.insert(0,ospath.join(loc,bindir))
     17        # is there a bin directory? (created by a local compile), if so put
     18        # that at the top of the path
     19    if ospath.exists(ospath.join(loc,'bin')):
     20        bindir = 'bin'
     21        if ospath.join(loc,'bin') not in sys.path:
     22            sys.path.insert(0,ospath.join(loc,bindir))
    2223if bindir == None:
    2324    print "Warning GSAS-II binary libraries not found, some sections of code will not function"
  • trunk/GSASIIspc.py

    r167 r170  
    808808    '''test #0: exercise MoveToUnitCell'''
    809809    msg = "MoveToUnitCell failed"
    810     v = [0,1,2,-1,-2]; MoveToUnitCell(v); assert v==[0,0,0,0,0], msg
    811     v = np.array([-.1]); MoveToUnitCell(v); assert abs(v-0.9) < 1e-6, msg
    812     v = np.array([.1]); MoveToUnitCell(v); assert abs(v-0.1) < 1e-6, msg
     810    assert (MoveToUnitCell([1,2,3]) == [0,0,0]).all, msg
     811    assert (MoveToUnitCell([2,-1,-2]) == [0,0,0]).all, msg
     812    assert abs(MoveToUnitCell(np.array([-.1]))[0]-0.9) < 1e-6, msg
     813    assert abs(MoveToUnitCell(np.array([.1]))[0]-0.1) < 1e-6, msg
    813814
    814815def test1():
     
    821822        'Compare output from GSASIIspc.SpcGroup with results from a previous run'
    822823        # if an error is reported, the dictionary can be ignored
    823         msg = "failed on space group %s" % spc
     824        msg0 = "CompareSpcGroup failed on space group %s" % spc
    824825        result = SpcGroup(spc)
    825826        if result[0] == referr and referr > 0: return True
    826827        keys = result[1].keys()
    827828        #print result[1]['SpGrp']
     829        msg = msg0 + " in list lengths"
    828830        assert len(keys) == len(refdict.keys()), msg
    829831        for key in keys:
    830         #print key, type(refdict[key])
    831832            if key == 'SGOps' or  key == 'SGCen':
     833                msg = msg0 + (" in key %s length" % key)
    832834                assert len(refdict[key]) == len(result[1][key]), msg
    833835                for i in range(len(refdict[key])):
     836                    msg = msg0 + (" in key %s level 0" % key)
    834837                    assert np.allclose(result[1][key][i][0],refdict[key][i][0]), msg
     838                    msg = msg0 + (" in key %s level 1" % key)
    835839                    assert np.allclose(result[1][key][i][1],refdict[key][i][1]), msg
    836840            else:
     841                msg = msg0 + (" in key %s" % key)
    837842                assert result[1][key] == refdict[key], msg
     843        msg = msg0 + (" in key %s reflist" % key)
     844        #for (l1,l2) in zip(reflist, SGPrint(result[1])):
     845        #    assert l2.replace('\t','').replace(' ','') == l1.replace(' ',''), 'SGPrint ' +msg
    838846        assert reflist == SGPrint(result[1]), 'SGPrint ' +msg
    839847    for spc in spctestinp.SGdat:
  • trunk/testinp/spctestinp.py

    r57 r170  
    1 # output from GSASIIspc computed on platform darwin on 2010-04-28
     1# output from GSASIIspc computed on platform darwin on 2010-10-31
    22import numpy as np
    33array = np.array
     
    44484448}
    44494449SGlist = {
    4450 "p 4/n b m": ['Space Group P 4/n b m', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-Y ,    X ,    Z ', '( 3) 1/2-X ,1/2-Y ,    Z ( 4)     Y ,1/2-X ,    Z ', '( 5)    -X ,1/2+Y ,    Z ( 6)    -Y ,   -X ,    Z ', '( 7) 1/2+X ,   -Y ,    Z ( 8) 1/2+Y ,1/2+X ,    Z '] ,
    4451 "p -4 c 2": ['Space Group P -4 c 2', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Y ,   -X ,   -Z ', '( 3)    -X ,   -Y ,    Z ( 4)    -Y ,    X ,   -Z ', '( 5)    -X ,    Y ,1/2+Z ( 6)     Y ,    X ,1/2-Z ', '( 7)     X ,   -Y ,1/2+Z ( 8)    -Y ,   -X ,1/2-Z '] ,
    4452 "r -3 m": ['Space Group R -3 m', 'The lattice is centrosymmetric R-centered trigonal', 'Multiplicity of a general site is 36', 'The Laue symmetry is 3m1', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)    Y-X,    Y ,    Z ( 5)    -Y ,   -X ,    Z ( 6)     X ,   X-Y,    Z '] ,
    4453 "p 42 n m": ['Space Group P 42 n m', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-Y ,1/2+X ,1/2+Z ', '( 3)    -X ,   -Y ,    Z ( 4) 1/2+Y ,1/2-X ,1/2+Z ', '( 5) 1/2-X ,1/2+Y ,1/2+Z ( 6)    -Y ,   -X ,    Z ', '( 7) 1/2+X ,1/2-Y ,1/2+Z ( 8)     Y ,    X ,    Z '] ,
    4454 "a b a 2": ['Space Group A b a 2', 'The lattice is noncentrosymmetric A-centered orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,1/2+Y ,    Z ', '( 3) 1/2+X ,1/2-Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4455 "p 42/m b c": ['Space Group P 42/m b c', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,1/2+Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,1/2+Z ', '( 5) 1/2-X ,1/2+Y ,    Z ( 6) 1/2-Y ,1/2-X ,1/2+Z ', '( 7) 1/2+X ,1/2-Y ,    Z ( 8) 1/2+Y ,1/2+X ,1/2+Z '] ,
    4456 "p m n 21": ['Space Group P m n 21', 'The lattice is noncentrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 4', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3) 1/2+X ,   -Y ,1/2+Z ( 4) 1/2-X ,   -Y ,1/2+Z '] ,
    4457 "i 4/m c m ": ['Space Group I 4/m c m', 'The lattice is centrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 32', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z ', '( 5)    -X ,    Y ,1/2+Z ( 6)    -Y ,   -X ,1/2+Z ', '( 7)     X ,   -Y ,1/2+Z ( 8)     Y ,    X ,1/2+Z '] ,
    4458 "p 42/m c m": ['Space Group P 42/m c m', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,1/2+Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,1/2+Z ', '( 5)    -X ,    Y ,1/2+Z ( 6)    -Y ,   -X ,    Z ', '( 7)     X ,   -Y ,1/2+Z ( 8)     Y ,    X ,    Z '] ,
    4459 "p m -3": ['Space Group P m -3', 'The lattice is centrosymmetric primitive cubic', 'Multiplicity of a general site is 24', 'The Laue symmetry is m3', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     X ,    Y ,   -Z ( 5)    -Z ,    X ,    Y ( 6)     Y ,   -Z ,    X ', '( 7)    -Z ,    X ,   -Y ( 8)    -Y ,   -Z ,    X ( 9)     Y ,   -Z ,   -X ', '(10)    -X ,    Y ,   -Z (11)    -Z ,   -X ,    Y (12)     X ,   -Y ,   -Z '] ,
    4460 "p b a 2": ['Space Group P b a 2', 'The lattice is noncentrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 4', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,1/2+Y ,    Z ', '( 3) 1/2+X ,1/2-Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4461 "i b a m": ['Space Group I b a m', 'The lattice is centrosymmetric I-centered orthorhombic', 'Multiplicity of a general site is 16', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,1/2+Y ,    Z ', '( 3) 1/2+X ,1/2-Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4462 "p 21/m": ['Space Group P 21/m', 'The lattice is centrosymmetric primitive monoclinic', 'Multiplicity of a general site is 4', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,1/2+Y ,   -Z '] ,
    4463 "p 41": ['Space Group P 41', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 4', 'The Laue symmetry is 4/m', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,1/4+Z ', '( 3)    -X ,   -Y ,1/2+Z ( 4)     Y ,   -X ,3/4+Z '] ,
    4464 "p 42": ['Space Group P 42', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 4', 'The Laue symmetry is 4/m', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,1/2+Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,1/2+Z '] ,
    4465 "p 43": ['Space Group P 43', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 4', 'The Laue symmetry is 4/m', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,3/4+Z ', '( 3)    -X ,   -Y ,1/2+Z ( 4)     Y ,   -X ,1/4+Z '] ,
    4466 "f 4 3 2": ['Space Group F 4 3 2', 'The lattice is noncentrosymmetric F-centered cubic', 'Multiplicity of a general site is 96', 'The Laue symmetry is m3m', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)    -Y ,    X ,    Z ( 5)     Z ,   -Y ,    X ( 6)     X ,    Z ,   -Y ', '( 7)    -X ,   -Y ,    Z ( 8)    -Z ,    X ,   -Y ( 9)    -Y ,   -Z ,    X ', '(10)     X ,   -Y ,   -Z (11)     Z ,   -X ,   -Y (12)    -Y ,    Z ,   -X ', '(13)     Y ,   -X ,    Z (14)     Z ,    Y ,   -X (15)    -X ,    Z ,    Y ', '(16)    -X ,   -Z ,   -Y (17)    -Y ,   -X ,   -Z (18)    -Z ,   -Y ,   -X ', '(19)     Y ,   -Z ,   -X (20)     Y ,    X ,   -Z (21)    -Z ,    Y ,    X ', '(22)     X ,   -Z ,    Y (23)    -X ,    Y ,   -Z (24)    -Z ,   -X ,    Y '] ,
    4467 "p -4 21 m": ['Space Group P -4 21 m', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Y ,   -X ,   -Z ', '( 3)    -X ,   -Y ,    Z ( 4)    -Y ,    X ,   -Z ', '( 5) 1/2-X ,1/2+Y ,   -Z ( 6) 1/2+Y ,1/2+X ,    Z ', '( 7) 1/2+X ,1/2-Y ,   -Z ( 8) 1/2-Y ,1/2-X ,    Z '] ,
    4468 "p 63/m c m": ['Space Group P 63/m c m', 'The lattice is centrosymmetric primitive hexagonal', 'Multiplicity of a general site is 24', 'The Laue symmetry is 6/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,1/2+Z ( 3)    -Y ,   X-Y,    Z ', '( 4)    -X ,   -Y ,1/2+Z ( 5)    Y-X,   -X ,    Z ( 6)     Y ,   Y-X,1/2+Z ', '( 7)    Y-X,    Y ,1/2+Z ( 8)    -X ,   Y-X,    Z ( 9)    -Y ,   -X ,1/2+Z ', '(10)    X-Y,   -Y ,    Z (11)     X ,   X-Y,1/2+Z (12)     Y ,    X ,    Z '] ,
    4469 "p 2 3": ['Space Group P 2 3', 'The lattice is noncentrosymmetric primitive cubic', 'Multiplicity of a general site is 12', 'The Laue symmetry is m3', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     X ,   -Y ,   -Z ( 5)    -Z ,    X ,   -Y ( 6)    -Y ,   -Z ,    X ', '( 7)    -Z ,   -X ,    Y ( 8)     Y ,   -Z ,   -X ( 9)    -Y ,    Z ,   -X ', '(10)    -X ,   -Y ,    Z (11)     Z ,   -X ,   -Y (12)    -X ,    Y ,   -Z '] ,
    4470 "i a 3": ['Space Group I a 3', 'The lattice is centrosymmetric I-centered cubic', 'Multiplicity of a general site is 48', 'The Laue symmetry is m3', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/2+X ,    Y ,1/2-Z ( 5) 1/2-Z ,1/2+X ,    Y ( 6)     Y ,1/2-Z ,1/2+X ', '( 7)    -Z ,1/2+X ,1/2-Y ( 8) 1/2-Y ,   -Z ,1/2+X ( 9) 1/2+Y ,1/2-Z ,   -X ', '(10)    -X ,1/2+Y ,1/2-Z (11) 1/2-Z ,   -X ,1/2+Y (12) 1/2+X ,1/2-Y ,   -Z '] ,
    4471 "p 3 2 1": ['Space Group P 3 2 1', 'The lattice is noncentrosymmetric primitive trigonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 3m1', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)     Y ,    X ,   -Z ( 5)    -X ,   Y-X,   -Z ( 6)    X-Y,   -Y ,   -Z '] ,
    4472 "i a -3 d": ['Space Group I a -3 d', 'The lattice is centrosymmetric I-centered cubic', 'Multiplicity of a general site is 96', 'The Laue symmetry is m3m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/2+X ,    Y ,1/2-Z ( 5) 1/2-Z ,1/2+X ,    Y ( 6)     Y ,1/2-Z ,1/2+X ', '( 7)    -Z ,1/2+X ,1/2-Y ( 8) 1/2-Y ,   -Z ,1/2+X ( 9) 1/2+Y ,1/2-Z ,   -X ', '(10)    -X ,1/2+Y ,1/2-Z (11) 1/2-Z ,   -X ,1/2+Y (12) 1/2+X ,1/2-Y ,   -Z ', '(13) 1/4+Y ,1/4+X ,1/4+Z (14) 1/4+Z ,1/4+Y ,1/4+X (15) 1/4+X ,1/4+Z ,1/4+Y ', '(16) 3/4+Y ,1/4+X ,1/4-Z (17) 1/4-Z ,3/4+Y ,1/4+X (18) 1/4+X ,1/4-Z ,3/4+Y ', '(19) 3/4-Z ,3/4+Y ,1/4-X (20) 1/4-X ,3/4-Z ,3/4+Y (21) 3/4+X ,1/4-Z ,3/4-Y ', '(22) 3/4-Y ,3/4+X ,1/4-Z (23) 1/4-Z ,3/4-Y ,3/4+X (24) 3/4+Y ,1/4-X ,3/4-Z '] ,
    4473 "p a -3": ['Space Group P a -3', 'The lattice is centrosymmetric primitive cubic', 'Multiplicity of a general site is 24', 'The Laue symmetry is m3', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/2+X ,    Y ,1/2-Z ( 5) 1/2-Z ,1/2+X ,    Y ( 6)     Y ,1/2-Z ,1/2+X ', '( 7)    -Z ,1/2+X ,1/2-Y ( 8) 1/2-Y ,   -Z ,1/2+X ( 9) 1/2+Y ,1/2-Z ,   -X ', '(10)    -X ,1/2+Y ,1/2-Z (11) 1/2-Z ,   -X ,1/2+Y (12) 1/2+X ,1/2-Y ,   -Z '] ,
    4474 "c 2": ['Space Group C 2', 'The lattice is noncentrosymmetric C-centered monoclinic', 'Multiplicity of a general site is 4', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The location of the origin is arbitrary in y', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,   -Z '] ,
    4475 "r 3 2 h": ['Space Group R 3 2 h', 'The lattice is noncentrosymmetric R-centered trigonal', 'Multiplicity of a general site is 18', 'The Laue symmetry is 3m1', '\nThe equivalent positions are:', '\n    (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)     Y ,    X ,   -Z ( 5)    -X ,   Y-X,   -Z ( 6)    X-Y,   -Y ,   -Z '] ,
    4476 "p c": ['Space Group P c', 'The lattice is noncentrosymmetric primitive monoclinic', 'Multiplicity of a general site is 2', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The location of the origin is arbitrary in x z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     X ,   -Y ,1/2+Z '] ,
    4477 "f 2 2 2": ['Space Group F 2 2 2', 'The lattice is noncentrosymmetric F-centered orthorhombic', 'Multiplicity of a general site is 16', 'The Laue symmetry is mmm', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     X ,   -Y ,   -Z ', '( 3)    -X ,    Y ,   -Z ( 4)    -X ,   -Y ,    Z '] ,
    4478 "p 6 c c": ['Space Group P 6 c c', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,    Z ( 3)    -Y ,   X-Y,    Z ', '( 4)    -X ,   -Y ,    Z ( 5)    Y-X,   -X ,    Z ( 6)     Y ,   Y-X,    Z ', '( 7)    Y-X,    Y ,1/2+Z ( 8)    -X ,   Y-X,1/2+Z ( 9)    -Y ,   -X ,1/2+Z ', '(10)    X-Y,   -Y ,1/2+Z (11)     X ,   X-Y,1/2+Z (12)     Y ,    X ,1/2+Z '] ,
    4479 "r 3 2 r": ['Space Group R 3 2 r', 'The lattice is noncentrosymmetric primitive rhombohedral', 'Multiplicity of a general site is 6', 'The Laue symmetry is 3mR', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)    -Y ,   -X ,   -Z ( 5)    -Z ,   -Y ,   -X ( 6)    -X ,   -Z ,   -Y '] ,
    4480 "p 62 2 2": ['Space Group P 62 2 2', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,1/3+Z ( 3)    -Y ,   X-Y,2/3+Z ', '( 4)    -X ,   -Y ,    Z ( 5)    Y-X,   -X ,1/3+Z ( 6)     Y ,   Y-X,2/3+Z ', '( 7)    X-Y,   -Y ,   -Z ( 8)     X ,   X-Y,1/3-Z ( 9)     Y ,    X ,2/3-Z ', '(10)    Y-X,    Y ,   -Z (11)    -X ,   Y-X,1/3-Z (12)    -Y ,   -X ,2/3-Z '] ,
    4481 "i 41 c d": ['Space Group I 41 c d', 'The lattice is noncentrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,1/2+X ,1/4+Z ', '( 3) 1/2-X ,1/2-Y ,1/2+Z ( 4) 1/2+Y ,   -X ,3/4+Z ', '( 5)    -X ,    Y ,1/2+Z ( 6)    -Y ,1/2-X ,3/4+Z ', '( 7) 1/2+X ,1/2-Y ,    Z ( 8) 1/2+Y ,    X ,1/4+Z '] ,
    4482 "f m m 2": ['Space Group F m m 2', 'The lattice is noncentrosymmetric F-centered orthorhombic', 'Multiplicity of a general site is 16', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3)     X ,   -Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4483 "p m m 2": ['Space Group P m m 2', 'The lattice is noncentrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 4', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3)     X ,   -Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4484 "p m": ['Space Group P m', 'The lattice is noncentrosymmetric primitive monoclinic', 'Multiplicity of a general site is 2', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The location of the origin is arbitrary in x z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     X ,   -Y ,    Z '] ,
    4485 "i 4 2 2": ['Space Group I 4 2 2', 'The lattice is noncentrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z ', '( 5)    -X ,    Y ,   -Z ( 6)    -Y ,   -X ,   -Z ', '( 7)     X ,   -Y ,   -Z ( 8)     Y ,    X ,   -Z '] ,
    4486 "p 31 2 1": ['Space Group P 31 2 1', 'The lattice is noncentrosymmetric primitive trigonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 3m1', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,1/3+Z ( 3)    Y-X,   -X ,2/3+Z ', '( 4)     Y ,    X ,   -Z ( 5)    -X ,   Y-X,1/3-Z ( 6)    X-Y,   -Y ,2/3-Z '] ,
    4487 "i -4": ['Space Group I -4', 'The lattice is noncentrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/m', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Y ,   -X ,   -Z ', '( 3)    -X ,   -Y ,    Z ( 4)    -Y ,    X ,   -Z '] ,
    4488 "p 2": ['Space Group P 2', 'The lattice is noncentrosymmetric primitive monoclinic', 'Multiplicity of a general site is 2', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The location of the origin is arbitrary in y', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,   -Z '] ,
    4489 "p 21 21 2": ['Space Group P 21 21 2', 'The lattice is noncentrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 4', 'The Laue symmetry is mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2+X ,1/2-Y ,   -Z ', '( 3) 1/2-X ,1/2+Y ,   -Z ( 4)    -X ,   -Y ,    Z '] ,
    4490 "c 1 2/c 1": ['Space Group C 1 2/c 1', 'The lattice is centrosymmetric C-centered monoclinic', 'Multiplicity of a general site is 8', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,1/2-Z '] ,
    4491 "i b a 2": ['Space Group I b a 2', 'The lattice is noncentrosymmetric I-centered orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,1/2+Y ,    Z ', '( 3) 1/2+X ,1/2-Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4492 "p b a m": ['Space Group P b a m', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,1/2+Y ,    Z ', '( 3) 1/2+X ,1/2-Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4493 "p b a n": ['Space Group P b a n', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,1/2+Y ,    Z ', '( 3) 1/2+X ,   -Y ,    Z ( 4) 1/2-X ,1/2-Y ,    Z '] ,
    4494 "p m -3 n": ['Space Group P m -3 n', 'The lattice is centrosymmetric primitive cubic', 'Multiplicity of a general site is 48', 'The Laue symmetry is m3m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     X ,    Y ,   -Z ( 5)    -Z ,    X ,    Y ( 6)     Y ,   -Z ,    X ', '( 7)    -Z ,    X ,   -Y ( 8)    -Y ,   -Z ,    X ( 9)     Y ,   -Z ,   -X ', '(10)    -X ,    Y ,   -Z (11)    -Z ,   -X ,    Y (12)     X ,   -Y ,   -Z ', '(13) 1/2+Y ,1/2+X ,1/2+Z (14) 1/2+Z ,1/2+Y ,1/2+X (15) 1/2+X ,1/2+Z ,1/2+Y ', '(16) 1/2+Y ,1/2+X ,1/2-Z (17) 1/2-Z ,1/2+Y ,1/2+X (18) 1/2+X ,1/2-Z ,1/2+Y ', '(19) 1/2-Z ,1/2+Y ,1/2-X (20) 1/2-X ,1/2-Z ,1/2+Y (21) 1/2+X ,1/2-Z ,1/2-Y ', '(22) 1/2-Y ,1/2+X ,1/2-Z (23) 1/2-Z ,1/2-Y ,1/2+X (24) 1/2+Y ,1/2-X ,1/2-Z '] ,
    4495 "i b c a": ['Space Group I b c a', 'The lattice is centrosymmetric I-centered orthorhombic', 'Multiplicity of a general site is 16', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,1/2+Y ,    Z ', '( 3)     X ,1/2-Y ,1/2+Z ( 4) 1/2-X ,   -Y ,1/2+Z '] ,
    4496 "p 42 21 2": ['Space Group P 42 21 2', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-Y ,1/2+X ,1/2+Z ', '( 3)    -X ,   -Y ,    Z ( 4) 1/2+Y ,1/2-X ,1/2+Z ', '( 5) 1/2-X ,1/2+Y ,1/2-Z ( 6)    -Y ,   -X ,   -Z ', '( 7) 1/2+X ,1/2-Y ,1/2-Z ( 8)     Y ,    X ,   -Z '] ,
    4497 "f m m m": ['Space Group F m m m', 'The lattice is centrosymmetric F-centered orthorhombic', 'Multiplicity of a general site is 32', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3)     X ,   -Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4498 "i 41": ['Space Group I 41', 'The lattice is noncentrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/m', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,1/2+X ,1/4+Z ', '( 3) 1/2-X ,1/2-Y ,1/2+Z ( 4) 1/2+Y ,   -X ,3/4+Z '] ,
    4499 "p 6": ['Space Group P 6', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 6/m', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,    Z ( 3)    -Y ,   X-Y,    Z ', '( 4)    -X ,   -Y ,    Z ( 5)    Y-X,   -X ,    Z ( 6)     Y ,   Y-X,    Z '] ,
    4500 "p 3": ['Space Group P 3', 'The lattice is noncentrosymmetric primitive trigonal', 'Multiplicity of a general site is 3', 'The Laue symmetry is 3', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z '] ,
    4501 "p m m n": ['Space Group P m m n', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,    Y ,    Z ', '( 3)     X ,1/2-Y ,    Z ( 4) 1/2-X ,1/2-Y ,    Z '] ,
    4502 "p m m m": ['Space Group P m m m', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3)     X ,   -Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4503 "r 3 m h": ['Space Group R 3 m h', 'The lattice is noncentrosymmetric R-centered trigonal', 'Multiplicity of a general site is 18', 'The Laue symmetry is 3m1', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)    Y-X,    Y ,    Z ( 5)    -Y ,   -X ,    Z ( 6)     X ,   X-Y,    Z '] ,
    4504 "c m c 21": ['Space Group C m c 21', 'The lattice is noncentrosymmetric C-centered orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3)     X ,   -Y ,1/2+Z ( 4)    -X ,   -Y ,1/2+Z '] ,
    4505 "p 1": ['Space Group P 1', 'The lattice is noncentrosymmetric primitive triclinic', 'Multiplicity of a general site is 1', 'The Laue symmetry is -1', 'The location of the origin is arbitrary in xyz', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z '] ,
    4506 "i 4": ['Space Group I 4', 'The lattice is noncentrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/m', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z '] ,
    4507 "p 4": ['Space Group P 4', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 4', 'The Laue symmetry is 4/m', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z '] ,
    4508 "p 42 b c": ['Space Group P 42 b c', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,1/2+Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,1/2+Z ', '( 5) 1/2-X ,1/2+Y ,    Z ( 6) 1/2-Y ,1/2-X ,1/2+Z ', '( 7) 1/2+X ,1/2-Y ,    Z ( 8) 1/2+Y ,1/2+X ,1/2+Z '] ,
    4509 "p m m a": ['Space Group P m m a', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,    Y ,    Z ', '( 3)     X ,   -Y ,    Z ( 4) 1/2-X ,   -Y ,    Z '] ,
    4510 "i -4 m 2": ['Space Group I -4 m 2', 'The lattice is noncentrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Y ,   -X ,   -Z ', '( 3)    -X ,   -Y ,    Z ( 4)    -Y ,    X ,   -Z ', '( 5)    -X ,    Y ,    Z ( 6)     Y ,    X ,   -Z ', '( 7)     X ,   -Y ,    Z ( 8)    -Y ,   -X ,   -Z '] ,
    4511 "p -4 21 c": ['Space Group P -4 21 c', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Y ,   -X ,   -Z ', '( 3)    -X ,   -Y ,    Z ( 4)    -Y ,    X ,   -Z ', '( 5) 1/2-X ,1/2+Y ,1/2-Z ( 6) 1/2+Y ,1/2+X ,1/2+Z ', '( 7) 1/2+X ,1/2-Y ,1/2-Z ( 8) 1/2-Y ,1/2-X ,1/2+Z '] ,
    4512 "p 4 2 2": ['Space Group P 4 2 2', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z ', '( 5)    -X ,    Y ,   -Z ( 6)    -Y ,   -X ,   -Z ', '( 7)     X ,   -Y ,   -Z ( 8)     Y ,    X ,   -Z '] ,
    4513 "p 4/m c c": ['Space Group P 4/m c c', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z ', '( 5)    -X ,    Y ,1/2+Z ( 6)    -Y ,   -X ,1/2+Z ', '( 7)     X ,   -Y ,1/2+Z ( 8)     Y ,    X ,1/2+Z '] ,
    4514 "p -6 2 m": ['Space Group P -6 2 m', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    Y-X,   -X ,   -Z ( 3)    -Y ,   X-Y,    Z ', '( 4)     X ,    Y ,   -Z ( 5)    Y-X,   -X ,    Z ( 6)    -Y ,   X-Y,   -Z ', '( 7)    X-Y,   -Y ,   -Z ( 8)    -X ,   Y-X,    Z ( 9)     Y ,    X ,   -Z ', '(10)    X-Y,   -Y ,    Z (11)    -X ,   Y-X,   -Z (12)     Y ,    X ,    Z '] ,
    4515 "p 1 2/m 1": ['Space Group P 1 2/m 1', 'The lattice is centrosymmetric primitive monoclinic', 'Multiplicity of a general site is 4', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,   -Z '] ,
    4516 "p -6 2 c": ['Space Group P -6 2 c', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    Y-X,   -X ,1/2-Z ( 3)    -Y ,   X-Y,    Z ', '( 4)     X ,    Y ,1/2-Z ( 5)    Y-X,   -X ,    Z ( 6)    -Y ,   X-Y,1/2-Z ', '( 7)    X-Y,   -Y ,   -Z ( 8)    -X ,   Y-X,1/2+Z ( 9)     Y ,    X ,   -Z ', '(10)    X-Y,   -Y ,1/2+Z (11)    -X ,   Y-X,   -Z (12)     Y ,    X ,1/2+Z '] ,
    4517 "p 6 m m": ['Space Group P 6 m m', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,    Z ( 3)    -Y ,   X-Y,    Z ', '( 4)    -X ,   -Y ,    Z ( 5)    Y-X,   -X ,    Z ( 6)     Y ,   Y-X,    Z ', '( 7)    Y-X,    Y ,    Z ( 8)    -X ,   Y-X,    Z ( 9)    -Y ,   -X ,    Z ', '(10)    X-Y,   -Y ,    Z (11)     X ,   X-Y,    Z (12)     Y ,    X ,    Z '] ,
    4518 "c c": ['Space Group C c', 'The lattice is noncentrosymmetric C-centered monoclinic', 'Multiplicity of a general site is 4', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The location of the origin is arbitrary in x z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     X ,   -Y ,1/2+Z '] ,
    4519 "p 43 3 2": ['Space Group P 43 3 2', 'The lattice is noncentrosymmetric primitive cubic', 'Multiplicity of a general site is 24', 'The Laue symmetry is m3m', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 3/4-Y ,1/4+X ,3/4+Z ( 5) 3/4+Z ,3/4-Y ,1/4+X ( 6) 1/4+X ,3/4+Z ,3/4-Y ', '( 7) 1/2-X ,   -Y ,1/2+Z ( 8)    -Z ,1/2+X ,1/2-Y ( 9) 1/2-Y ,   -Z ,1/2+X ', '(10) 1/2+X ,1/2-Y ,   -Z (11) 1/2+Z ,1/2-X ,   -Y (12)    -Y ,1/2+Z ,1/2-X ', '(13) 3/4+Y ,3/4-X ,1/4+Z (14) 1/4+Z ,3/4+Y ,3/4-X (15) 3/4-X ,1/4+Z ,3/4+Y ', '(16) 1/4-X ,1/4-Z ,1/4-Y (17) 1/4-Y ,1/4-X ,1/4-Z (18) 1/4-Z ,1/4-Y ,1/4-X ', '(19) 1/2+Y ,1/2-Z ,   -X (20) 1/4+Y ,3/4+X ,3/4-Z (21) 3/4-Z ,1/4+Y ,3/4+X ', '(22) 3/4+X ,3/4-Z ,1/4+Y (23)    -X ,1/2+Y ,1/2-Z (24) 1/2-Z ,   -X ,1/2+Y '] ,
    4520 "a 2 2 2": ['Space Group A 2 2 2', 'The lattice is noncentrosymmetric A-centered orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     X ,   -Y ,   -Z ', '( 3)    -X ,    Y ,   -Z ( 4)    -X ,   -Y ,    Z '] ,
    4521 "p -3": ['Space Group P -3', 'The lattice is centrosymmetric primitive trigonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 3', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z '] ,
    4522 "p -1": ['Space Group P -1', 'The lattice is centrosymmetric primitive triclinic', 'Multiplicity of a general site is 2', 'The Laue symmetry is -1', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z '] ,
    4523 "f d d 2": ['Space Group F d d 2', 'The lattice is noncentrosymmetric F-centered orthorhombic', 'Multiplicity of a general site is 16', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2) 1/4-X ,1/4+Y ,1/4+Z ', '( 3) 1/4+X ,1/4-Y ,1/4+Z ( 4)    -X ,1/2-Y ,1/2+Z '] ,
    4524 "p 62": ['Space Group P 62', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 6/m', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,1/3+Z ( 3)    -Y ,   X-Y,2/3+Z ', '( 4)    -X ,   -Y ,    Z ( 5)    Y-X,   -X ,1/3+Z ( 6)     Y ,   Y-X,2/3+Z '] ,
    4525 "c m m a": ['Space Group C m m a', 'The lattice is centrosymmetric C-centered orthorhombic', 'Multiplicity of a general site is 16', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3)     X ,1/2-Y ,    Z ( 4)    -X ,1/2-Y ,    Z '] ,
    4526 "p -3 c 1": ['Space Group P -3 c 1', 'The lattice is centrosymmetric primitive trigonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 3m1', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)    Y-X,    Y ,1/2+Z ( 5)    -Y ,   -X ,1/2+Z ( 6)     X ,   X-Y,1/2+Z '] ,
    4527 "c m c m": ['Space Group C m c m', 'The lattice is centrosymmetric C-centered orthorhombic', 'Multiplicity of a general site is 16', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3)     X ,   -Y ,1/2+Z ( 4)    -X ,   -Y ,1/2+Z '] ,
    4528 "c m m m": ['Space Group C m m m', 'The lattice is centrosymmetric C-centered orthorhombic', 'Multiplicity of a general site is 16', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3)     X ,   -Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4529 "c m c a": ['Space Group C m c a', 'The lattice is centrosymmetric C-centered orthorhombic', 'Multiplicity of a general site is 16', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3)     X ,1/2-Y ,1/2+Z ( 4)    -X ,1/2-Y ,1/2+Z '] ,
    4530 "i a -3": ['Space Group I a -3', 'The lattice is centrosymmetric I-centered cubic', 'Multiplicity of a general site is 48', 'The Laue symmetry is m3', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/2+X ,    Y ,1/2-Z ( 5) 1/2-Z ,1/2+X ,    Y ( 6)     Y ,1/2-Z ,1/2+X ', '( 7)    -Z ,1/2+X ,1/2-Y ( 8) 1/2-Y ,   -Z ,1/2+X ( 9) 1/2+Y ,1/2-Z ,   -X ', '(10)    -X ,1/2+Y ,1/2-Z (11) 1/2-Z ,   -X ,1/2+Y (12) 1/2+X ,1/2-Y ,   -Z '] ,
    4531 "i m a 2": ['Space Group I m a 2', 'The lattice is noncentrosymmetric I-centered orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,    Y ,    Z ', '( 3) 1/2+X ,   -Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4532 "p 63/m m c": ['Space Group P 63/m m c', 'The lattice is centrosymmetric primitive hexagonal', 'Multiplicity of a general site is 24', 'The Laue symmetry is 6/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,1/2+Z ( 3)    -Y ,   X-Y,    Z ', '( 4)    -X ,   -Y ,1/2+Z ( 5)    Y-X,   -X ,    Z ( 6)     Y ,   Y-X,1/2+Z ', '( 7)    Y-X,    Y ,    Z ( 8)    -X ,   Y-X,1/2+Z ( 9)    -Y ,   -X ,    Z ', '(10)    X-Y,   -Y ,1/2+Z (11)     X ,   X-Y,    Z (12)     Y ,    X ,1/2+Z '] ,
    4533 "p 4 3 2": ['Space Group P 4 3 2', 'The lattice is noncentrosymmetric primitive cubic', 'Multiplicity of a general site is 24', 'The Laue symmetry is m3m', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)    -Y ,    X ,    Z ( 5)     Z ,   -Y ,    X ( 6)     X ,    Z ,   -Y ', '( 7)    -X ,   -Y ,    Z ( 8)    -Z ,    X ,   -Y ( 9)    -Y ,   -Z ,    X ', '(10)     X ,   -Y ,   -Z (11)     Z ,   -X ,   -Y (12)    -Y ,    Z ,   -X ', '(13)     Y ,   -X ,    Z (14)     Z ,    Y ,   -X (15)    -X ,    Z ,    Y ', '(16)    -X ,   -Z ,   -Y (17)    -Y ,   -X ,   -Z (18)    -Z ,   -Y ,   -X ', '(19)     Y ,   -Z ,   -X (20)     Y ,    X ,   -Z (21)    -Z ,    Y ,    X ', '(22)     X ,   -Z ,    Y (23)    -X ,    Y ,   -Z (24)    -Z ,   -X ,    Y '] ,
    4534 "i 41/a c d": ['Space Group I 41/a c d', 'The lattice is centrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 32', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2) 1/4-Y ,3/4+X ,1/4+Z ', '( 3) 1/2-X ,   -Y ,1/2+Z ( 4) 1/4+Y ,1/4-X ,3/4+Z ', '( 5)    -X ,    Y ,1/2+Z ( 6) 1/4-Y ,3/4-X ,3/4+Z ', '( 7) 1/2+X ,   -Y ,    Z ( 8) 1/4+Y ,1/4+X ,1/4+Z '] ,
    4535 "p -4 2 c": ['Space Group P -4 2 c', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Y ,   -X ,   -Z ', '( 3)    -X ,   -Y ,    Z ( 4)    -Y ,    X ,   -Z ', '( 5)    -X ,    Y ,1/2-Z ( 6)     Y ,    X ,1/2+Z ', '( 7)     X ,   -Y ,1/2-Z ( 8)    -Y ,   -X ,1/2+Z '] ,
    4536 "p 4 n c": ['Space Group P 4 n c', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z ', '( 5) 1/2-X ,1/2+Y ,1/2+Z ( 6) 1/2-Y ,1/2-X ,1/2+Z ', '( 7) 1/2+X ,1/2-Y ,1/2+Z ( 8) 1/2+Y ,1/2+X ,1/2+Z '] ,
    4537 "p 4/m": ['Space Group P 4/m', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z '] ,
    4538 "p 4/n": ['Space Group P 4/n', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-Y ,    X ,    Z ', '( 3) 1/2-X ,1/2-Y ,    Z ( 4)     Y ,1/2-X ,    Z '] ,
    4539 "p 21/c": ['Space Group P 21/c', 'The lattice is centrosymmetric primitive monoclinic', 'Multiplicity of a general site is 4', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,1/2+Y ,1/2-Z '] ,
    4540 "r -3 c": ['Space Group R -3 c', 'The lattice is centrosymmetric R-centered trigonal', 'Multiplicity of a general site is 36', 'The Laue symmetry is 3m1', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)    Y-X,    Y ,1/2+Z ( 5)    -Y ,   -X ,1/2+Z ( 6)     X ,   X-Y,1/2+Z '] ,
    4541 "p 4/n m m": ['Space Group P 4/n m m', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-Y ,    X ,    Z ', '( 3) 1/2-X ,1/2-Y ,    Z ( 4)     Y ,1/2-X ,    Z ', '( 5) 1/2-X ,    Y ,    Z ( 6) 1/2-Y ,1/2-X ,    Z ', '( 7)     X ,1/2-Y ,    Z ( 8)     Y ,    X ,    Z '] ,
    4542 "i 4/m": ['Space Group I 4/m', 'The lattice is centrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z '] ,
    4543 "p 3 m 1": ['Space Group P 3 m 1', 'The lattice is noncentrosymmetric primitive trigonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 3m1', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)    Y-X,    Y ,    Z ( 5)    -Y ,   -X ,    Z ( 6)     X ,   X-Y,    Z '] ,
    4544 "p 63/m": ['Space Group P 63/m', 'The lattice is centrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,1/2+Z ( 3)    -Y ,   X-Y,    Z ', '( 4)    -X ,   -Y ,1/2+Z ( 5)    Y-X,   -X ,    Z ( 6)     Y ,   Y-X,1/2+Z '] ,
    4545 "p 6 2 2": ['Space Group P 6 2 2', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,    Z ( 3)    -Y ,   X-Y,    Z ', '( 4)    -X ,   -Y ,    Z ( 5)    Y-X,   -X ,    Z ( 6)     Y ,   Y-X,    Z ', '( 7)    X-Y,   -Y ,   -Z ( 8)     X ,   X-Y,   -Z ( 9)     Y ,    X ,   -Z ', '(10)    Y-X,    Y ,   -Z (11)    -X ,   Y-X,   -Z (12)    -Y ,   -X ,   -Z '] ,
    4546 "p 2/m": ['Space Group P 2/m', 'The lattice is centrosymmetric primitive monoclinic', 'Multiplicity of a general site is 4', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,   -Z '] ,
    4547 "f d 3": ['Space Group F d 3', 'The lattice is centrosymmetric F-centered cubic', 'Multiplicity of a general site is 96', 'The Laue symmetry is m3', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/4+X ,1/4+Y ,   -Z ( 5)    -Z ,1/4+X ,1/4+Y ( 6) 1/4+Y ,   -Z ,1/4+X ', '( 7) 1/4-Z ,1/2+X ,3/4-Y ( 8) 3/4-Y ,1/4-Z ,1/2+X ( 9) 1/2+Y ,1/4-Z ,3/4-X ', '(10) 3/4-X ,1/2+Y ,1/4-Z (11) 1/4-Z ,3/4-X ,1/2+Y (12) 1/2+X ,3/4-Y ,1/4-Z '] ,
    4548 "i 41/a m d": ['Space Group I 41/a m d', 'The lattice is centrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 32', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2) 1/4-Y ,3/4+X ,1/4+Z ', '( 3) 1/2-X ,   -Y ,1/2+Z ( 4) 1/4+Y ,1/4-X ,3/4+Z ', '( 5)    -X ,    Y ,    Z ( 6) 1/4-Y ,3/4-X ,1/4+Z ', '( 7) 1/2+X ,   -Y ,1/2+Z ( 8) 1/4+Y ,1/4+X ,3/4+Z '] ,
    4549 "p 4/n c c": ['Space Group P 4/n c c', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-Y ,    X ,    Z ', '( 3) 1/2-X ,1/2-Y ,    Z ( 4)     Y ,1/2-X ,    Z ', '( 5) 1/2-X ,    Y ,1/2+Z ( 6) 1/2-Y ,1/2-X ,1/2+Z ', '( 7)     X ,1/2-Y ,1/2+Z ( 8)     Y ,    X ,1/2+Z '] ,
    4550 "i m m a": ['Space Group I m m a', 'The lattice is centrosymmetric I-centered orthorhombic', 'Multiplicity of a general site is 16', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3)     X ,1/2-Y ,    Z ( 4)    -X ,1/2-Y ,    Z '] ,
    4551 "p 4 b m": ['Space Group P 4 b m', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z ', '( 5) 1/2-X ,1/2+Y ,    Z ( 6) 1/2-Y ,1/2-X ,    Z ', '( 7) 1/2+X ,1/2-Y ,    Z ( 8) 1/2+Y ,1/2+X ,    Z '] ,
    4552 "p 2/c": ['Space Group P 2/c', 'The lattice is centrosymmetric primitive monoclinic', 'Multiplicity of a general site is 4', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,1/2-Z '] ,
    4553 "p -6 m 2": ['Space Group P -6 m 2', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    Y-X,   -X ,   -Z ( 3)    -Y ,   X-Y,    Z ', '( 4)     X ,    Y ,   -Z ( 5)    Y-X,   -X ,    Z ( 6)    -Y ,   X-Y,   -Z ', '( 7)    Y-X,    Y ,    Z ( 8)     X ,   X-Y,   -Z ( 9)    -Y ,   -X ,    Z ', '(10)    Y-X,    Y ,   -Z (11)     X ,   X-Y,    Z (12)    -Y ,   -X ,   -Z '] ,
    4554 "p n n 2": ['Space Group P n n 2', 'The lattice is noncentrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 4', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,1/2+Y ,1/2+Z ', '( 3) 1/2+X ,1/2-Y ,1/2+Z ( 4)    -X ,   -Y ,    Z '] ,
    4555 "p 31 1 2": ['Space Group P 31 1 2', 'The lattice is noncentrosymmetric primitive trigonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 31m', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,1/3+Z ( 3)    Y-X,   -X ,2/3+Z ', '( 4)     X ,   X-Y,   -Z ( 5)    Y-X,    Y ,1/3-Z ( 6)    -Y ,   -X ,2/3-Z '] ,
    4556 "f -4 3 c": ['Space Group F -4 3 c', 'The lattice is noncentrosymmetric F-centered cubic', 'Multiplicity of a general site is 96', 'The Laue symmetry is m3m', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/2+Y ,1/2-X ,1/2-Z ( 5) 1/2-Z ,1/2+Y ,1/2-X ( 6) 1/2-X ,1/2-Z ,1/2+Y ', '( 7)    -X ,   -Y ,    Z ( 8)    -Z ,    X ,   -Y ( 9)    -Y ,   -Z ,    X ', '(10)     X ,   -Y ,   -Z (11)     Z ,   -X ,   -Y (12)    -Y ,    Z ,   -X ', '(13) 1/2-Y ,1/2+X ,1/2-Z (14) 1/2-Z ,1/2-Y ,1/2+X (15) 1/2+X ,1/2-Z ,1/2-Y ', '(16) 1/2+X ,1/2+Z ,1/2+Y (17) 1/2+Y ,1/2+X ,1/2+Z (18) 1/2+Z ,1/2+Y ,1/2+X ', '(19)     Y ,   -Z ,   -X (20) 1/2-Y ,1/2-X ,1/2+Z (21) 1/2+Z ,1/2-Y ,1/2-X ', '(22) 1/2-X ,1/2+Z ,1/2-Y (23)    -X ,    Y ,   -Z (24)    -Z ,   -X ,    Y '] ,
    4557 "i m -3": ['Space Group I m -3', 'The lattice is centrosymmetric I-centered cubic', 'Multiplicity of a general site is 48', 'The Laue symmetry is m3', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     X ,    Y ,   -Z ( 5)    -Z ,    X ,    Y ( 6)     Y ,   -Z ,    X ', '( 7)    -Z ,    X ,   -Y ( 8)    -Y ,   -Z ,    X ( 9)     Y ,   -Z ,   -X ', '(10)    -X ,    Y ,   -Z (11)    -Z ,   -X ,    Y (12)     X ,   -Y ,   -Z '] ,
    4558 "f -4 3 m": ['Space Group F -4 3 m', 'The lattice is noncentrosymmetric F-centered cubic', 'Multiplicity of a general site is 96', 'The Laue symmetry is m3m', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     Y ,   -X ,   -Z ( 5)    -Z ,    Y ,   -X ( 6)    -X ,   -Z ,    Y ', '( 7)    -X ,   -Y ,    Z ( 8)    -Z ,    X ,   -Y ( 9)    -Y ,   -Z ,    X ', '(10)     X ,   -Y ,   -Z (11)     Z ,   -X ,   -Y (12)    -Y ,    Z ,   -X ', '(13)    -Y ,    X ,   -Z (14)    -Z ,   -Y ,    X (15)     X ,   -Z ,   -Y ', '(16)     X ,    Z ,    Y (17)     Y ,    X ,    Z (18)     Z ,    Y ,    X ', '(19)     Y ,   -Z ,   -X (20)    -Y ,   -X ,    Z (21)     Z ,   -Y ,   -X ', '(22)    -X ,    Z ,   -Y (23)    -X ,    Y ,   -Z (24)    -Z ,   -X ,    Y '] ,
    4559 "i 21 3": ['Space Group I 21 3', 'The lattice is noncentrosymmetric I-centered cubic', 'Multiplicity of a general site is 24', 'The Laue symmetry is m3', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/2+X ,1/2-Y ,   -Z ( 5)    -Z ,1/2+X ,1/2-Y ( 6) 1/2-Y ,   -Z ,1/2+X ', '( 7) 1/2-Z ,   -X ,1/2+Y ( 8) 1/2+Y ,1/2-Z ,   -X ( 9)    -Y ,1/2+Z ,1/2-X ', '(10) 1/2-X ,   -Y ,1/2+Z (11) 1/2+Z ,1/2-X ,   -Y (12)    -X ,1/2+Y ,1/2-Z '] ,
    4560 "p 42/m m c": ['Space Group P 42/m m c', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,1/2+Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,1/2+Z ', '( 5)    -X ,    Y ,    Z ( 6)    -Y ,   -X ,1/2+Z ', '( 7)     X ,   -Y ,    Z ( 8)     Y ,    X ,1/2+Z '] ,
    4561 "p 65 2 2": ['Space Group P 65 2 2', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,5/6+Z ( 3)    -Y ,   X-Y,2/3+Z ', '( 4)    -X ,   -Y ,1/2+Z ( 5)    Y-X,   -X ,1/3+Z ( 6)     Y ,   Y-X,1/6+Z ', '( 7)    X-Y,   -Y ,   -Z ( 8)     X ,   X-Y,5/6-Z ( 9)     Y ,    X ,2/3-Z ', '(10)    Y-X,    Y ,1/2-Z (11)    -X ,   Y-X,1/3-Z (12)    -Y ,   -X ,1/6-Z '] ,
    4562 "p 4/m n c": ['Space Group P 4/m n c', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z ', '( 5) 1/2-X ,1/2+Y ,1/2+Z ( 6) 1/2-Y ,1/2-X ,1/2+Z ', '( 7) 1/2+X ,1/2-Y ,1/2+Z ( 8) 1/2+Y ,1/2+X ,1/2+Z '] ,
    4563 "c 2/m": ['Space Group C 2/m', 'The lattice is centrosymmetric C-centered monoclinic', 'Multiplicity of a general site is 8', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,   -Z '] ,
    4564 "f d d d": ['Space Group F d d d', 'The lattice is centrosymmetric F-centered orthorhombic', 'Multiplicity of a general site is 32', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,1/4+Y ,1/4+Z ', '( 3) 1/4+X ,   -Y ,1/4+Z ( 4) 3/4-X ,1/4-Y ,1/2+Z '] ,
    4565 "c m m 2": ['Space Group C m m 2', 'The lattice is noncentrosymmetric C-centered orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3)     X ,   -Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4566 "p 43 21 2": ['Space Group P 43 21 2', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-Y ,1/2+X ,3/4+Z ', '( 3)    -X ,   -Y ,1/2+Z ( 4) 1/2+Y ,1/2-X ,1/4+Z ', '( 5) 1/2-X ,1/2+Y ,3/4-Z ( 6)    -Y ,   -X ,1/2-Z ', '( 7) 1/2+X ,1/2-Y ,1/4-Z ( 8)     Y ,    X ,   -Z '] ,
    4567 "p -3 1 m": ['Space Group P -3 1 m', 'The lattice is centrosymmetric primitive trigonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 31m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)     Y ,    X ,    Z ( 5)    -X ,   Y-X,    Z ( 6)    X-Y,   -Y ,    Z '] ,
    4568 "i 2 2 2": ['Space Group I 2 2 2', 'The lattice is noncentrosymmetric I-centered orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     X ,   -Y ,   -Z ', '( 3)    -X ,    Y ,   -Z ( 4)    -X ,   -Y ,    Z '] ,
    4569 "p 42/n b c": ['Space Group P 42/n b c', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-Y ,    X ,1/2+Z ', '( 3) 1/2-X ,1/2-Y ,    Z ( 4)     Y ,1/2-X ,1/2+Z ', '( 5)    -X ,1/2+Y ,    Z ( 6)    -Y ,   -X ,1/2+Z ', '( 7) 1/2+X ,   -Y ,    Z ( 8) 1/2+Y ,1/2+X ,1/2+Z '] ,
    4570 "i 4 3 2": ['Space Group I 4 3 2', 'The lattice is noncentrosymmetric I-centered cubic', 'Multiplicity of a general site is 48', 'The Laue symmetry is m3m', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)    -Y ,    X ,    Z ( 5)     Z ,   -Y ,    X ( 6)     X ,    Z ,   -Y ', '( 7)    -X ,   -Y ,    Z ( 8)    -Z ,    X ,   -Y ( 9)    -Y ,   -Z ,    X ', '(10)     X ,   -Y ,   -Z (11)     Z ,   -X ,   -Y (12)    -Y ,    Z ,   -X ', '(13)     Y ,   -X ,    Z (14)     Z ,    Y ,   -X (15)    -X ,    Z ,    Y ', '(16)    -X ,   -Z ,   -Y (17)    -Y ,   -X ,   -Z (18)    -Z ,   -Y ,   -X ', '(19)     Y ,   -Z ,   -X (20)     Y ,    X ,   -Z (21)    -Z ,    Y ,    X ', '(22)     X ,   -Z ,    Y (23)    -X ,    Y ,   -Z (24)    -Z ,   -X ,    Y '] ,
    4571 "p 41 3 2": ['Space Group P 41 3 2', 'The lattice is noncentrosymmetric primitive cubic', 'Multiplicity of a general site is 24', 'The Laue symmetry is m3m', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/4-Y ,3/4+X ,1/4+Z ( 5) 1/4+Z ,1/4-Y ,3/4+X ( 6) 3/4+X ,1/4+Z ,1/4-Y ', '( 7) 1/2-X ,   -Y ,1/2+Z ( 8)    -Z ,1/2+X ,1/2-Y ( 9) 1/2-Y ,   -Z ,1/2+X ', '(10) 1/2+X ,1/2-Y ,   -Z (11) 1/2+Z ,1/2-X ,   -Y (12)    -Y ,1/2+Z ,1/2-X ', '(13) 1/4+Y ,1/4-X ,3/4+Z (14) 3/4+Z ,1/4+Y ,1/4-X (15) 1/4-X ,3/4+Z ,1/4+Y ', '(16) 3/4-X ,3/4-Z ,3/4-Y (17) 3/4-Y ,3/4-X ,3/4-Z (18) 3/4-Z ,3/4-Y ,3/4-X ', '(19) 1/2+Y ,1/2-Z ,   -X (20) 3/4+Y ,1/4+X ,1/4-Z (21) 1/4-Z ,3/4+Y ,1/4+X ', '(22) 1/4+X ,1/4-Z ,3/4+Y (23)    -X ,1/2+Y ,1/2-Z (24) 1/2-Z ,   -X ,1/2+Y '] ,
    4572 "p 42/n m c": ['Space Group P 42/n m c', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-Y ,    X ,1/2+Z ', '( 3) 1/2-X ,1/2-Y ,    Z ( 4)     Y ,1/2-X ,1/2+Z ', '( 5) 1/2-X ,    Y ,    Z ( 6) 1/2-Y ,1/2-X ,1/2+Z ', '( 7)     X ,1/2-Y ,    Z ( 8)     Y ,    X ,1/2+Z '] ,
    4573 "p 64 2 2": ['Space Group P 64 2 2', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,2/3+Z ( 3)    -Y ,   X-Y,1/3+Z ', '( 4)    -X ,   -Y ,    Z ( 5)    Y-X,   -X ,2/3+Z ( 6)     Y ,   Y-X,1/3+Z ', '( 7)    X-Y,   -Y ,   -Z ( 8)     X ,   X-Y,2/3-Z ( 9)     Y ,    X ,1/3-Z ', '(10)    Y-X,    Y ,   -Z (11)    -X ,   Y-X,2/3-Z (12)    -Y ,   -X ,1/3-Z '] ,
    4574 "p c a 21": ['Space Group P c a 21', 'The lattice is noncentrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 4', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,    Y ,1/2+Z ', '( 3) 1/2+X ,   -Y ,    Z ( 4)    -X ,   -Y ,1/2+Z '] ,
    4575 "f d -3 c": ['Space Group F d -3 c', 'The lattice is centrosymmetric F-centered cubic', 'Multiplicity of a general site is 192', 'The Laue symmetry is m3m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/4+X ,1/4+Y ,   -Z ( 5)    -Z ,1/4+X ,1/4+Y ( 6) 1/4+Y ,   -Z ,1/4+X ', '( 7) 1/4-Z ,1/2+X ,3/4-Y ( 8) 3/4-Y ,1/4-Z ,1/2+X ( 9) 1/2+Y ,1/4-Z ,3/4-X ', '(10) 3/4-X ,1/2+Y ,1/4-Z (11) 1/4-Z ,3/4-X ,1/2+Y (12) 1/2+X ,3/4-Y ,1/4-Z ', '(13)     Y ,    X ,1/2+Z (14) 1/2+Z ,    Y ,    X (15)     X ,1/2+Z ,    Y ', '(16) 1/4+Y ,1/4+X ,1/2-Z (17) 1/2-Z ,1/4+Y ,1/4+X (18) 1/4+X ,1/2-Z ,1/4+Y ', '(19) 3/4-Z ,1/2+Y ,3/4-X (20) 3/4-X ,3/4-Z ,1/2+Y (21) 1/2+X ,3/4-Z ,3/4-Y ', '(22) 3/4-Y ,1/2+X ,3/4-Z (23) 3/4-Z ,3/4-Y ,1/2+X (24) 1/2+Y ,3/4-X ,3/4-Z '] ,
    4576 "p n a 21": ['Space Group P n a 21', 'The lattice is noncentrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 4', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,1/2+Y ,1/2+Z ', '( 3) 1/2+X ,1/2-Y ,    Z ( 4)    -X ,   -Y ,1/2+Z '] ,
    4577 "p -4 n 2": ['Space Group P -4 n 2', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Y ,   -X ,   -Z ', '( 3)    -X ,   -Y ,    Z ( 4)    -Y ,    X ,   -Z ', '( 5) 1/2-X ,1/2+Y ,1/2+Z ( 6) 1/2+Y ,1/2+X ,1/2-Z ', '( 7) 1/2+X ,1/2-Y ,1/2+Z ( 8) 1/2-Y ,1/2-X ,1/2-Z '] ,
    4578 "p 42/n n m": ['Space Group P 42/n n m', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-Y ,    X ,1/2+Z ', '( 3) 1/2-X ,1/2-Y ,    Z ( 4)     Y ,1/2-X ,1/2+Z ', '( 5)    -X ,1/2+Y ,1/2+Z ( 6)    -Y ,   -X ,    Z ', '( 7) 1/2+X ,   -Y ,1/2+Z ( 8) 1/2+Y ,1/2+X ,    Z '] ,
    4579 "f d -3 m": ['Space Group F d -3 m', 'The lattice is centrosymmetric F-centered cubic', 'Multiplicity of a general site is 192', 'The Laue symmetry is m3m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/4+X ,1/4+Y ,   -Z ( 5)    -Z ,1/4+X ,1/4+Y ( 6) 1/4+Y ,   -Z ,1/4+X ', '( 7) 1/4-Z ,1/2+X ,3/4-Y ( 8) 3/4-Y ,1/4-Z ,1/2+X ( 9) 1/2+Y ,1/4-Z ,3/4-X ', '(10) 3/4-X ,1/2+Y ,1/4-Z (11) 1/4-Z ,3/4-X ,1/2+Y (12) 1/2+X ,3/4-Y ,1/4-Z ', '(13)     Y ,    X ,    Z (14)     Z ,    Y ,    X (15)     X ,    Z ,    Y ', '(16) 1/4+Y ,1/4+X ,   -Z (17)    -Z ,1/4+Y ,1/4+X (18) 1/4+X ,   -Z ,1/4+Y ', '(19) 1/4-Z ,1/2+Y ,3/4-X (20) 3/4-X ,1/4-Z ,1/2+Y (21) 1/2+X ,1/4-Z ,3/4-Y ', '(22) 3/4-Y ,1/2+X ,1/4-Z (23) 1/4-Z ,3/4-Y ,1/2+X (24) 1/2+Y ,3/4-X ,1/4-Z '] ,
    4580 "r -3 c r": ['Space Group R -3 c r', 'The lattice is centrosymmetric primitive rhombohedral', 'Multiplicity of a general site is 12', 'The Laue symmetry is 3mR', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/2+Y ,1/2+X ,1/2+Z ( 5) 1/2+Z ,1/2+Y ,1/2+X ( 6) 1/2+X ,1/2+Z ,1/2+Y '] ,
    4581 "p 63 m c": ['Space Group P 63 m c', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,1/2+Z ( 3)    -Y ,   X-Y,    Z ', '( 4)    -X ,   -Y ,1/2+Z ( 5)    Y-X,   -X ,    Z ( 6)     Y ,   Y-X,1/2+Z ', '( 7)    Y-X,    Y ,    Z ( 8)    -X ,   Y-X,1/2+Z ( 9)    -Y ,   -X ,    Z ', '(10)    X-Y,   -Y ,1/2+Z (11)     X ,   X-Y,    Z (12)     Y ,    X ,1/2+Z '] ,
    4582 "p 4/m b m": ['Space Group P 4/m b m', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z ', '( 5) 1/2-X ,1/2+Y ,    Z ( 6) 1/2-Y ,1/2-X ,    Z ', '( 7) 1/2+X ,1/2-Y ,    Z ( 8) 1/2+Y ,1/2+X ,    Z '] ,
    4583 "p 2 2 2": ['Space Group P 2 2 2', 'The lattice is noncentrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 4', 'The Laue symmetry is mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     X ,   -Y ,   -Z ', '( 3)    -X ,    Y ,   -Z ( 4)    -X ,   -Y ,    Z '] ,
    4584 "p 63 2 2": ['Space Group P 63 2 2', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,1/2+Z ( 3)    -Y ,   X-Y,    Z ', '( 4)    -X ,   -Y ,1/2+Z ( 5)    Y-X,   -X ,    Z ( 6)     Y ,   Y-X,1/2+Z ', '( 7)    X-Y,   -Y ,   -Z ( 8)     X ,   X-Y,1/2-Z ( 9)     Y ,    X ,   -Z ', '(10)    Y-X,    Y ,1/2-Z (11)    -X ,   Y-X,   -Z (12)    -Y ,   -X ,1/2-Z '] ,
    4585 "p 6/m m m": ['Space Group P 6/m m m', 'The lattice is centrosymmetric primitive hexagonal', 'Multiplicity of a general site is 24', 'The Laue symmetry is 6/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,    Z ( 3)    -Y ,   X-Y,    Z ', '( 4)    -X ,   -Y ,    Z ( 5)    Y-X,   -X ,    Z ( 6)     Y ,   Y-X,    Z ', '( 7)    Y-X,    Y ,    Z ( 8)    -X ,   Y-X,    Z ( 9)    -Y ,   -X ,    Z ', '(10)    X-Y,   -Y ,    Z (11)     X ,   X-Y,    Z (12)     Y ,    X ,    Z '] ,
    4586 "p c c n": ['Space Group P c c n', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,    Y ,1/2+Z ', '( 3)     X ,1/2-Y ,1/2+Z ( 4) 1/2-X ,1/2-Y ,    Z '] ,
    4587 "p c c m": ['Space Group P c c m', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,1/2+Z ', '( 3)     X ,   -Y ,1/2+Z ( 4)    -X ,   -Y ,    Z '] ,
    4588 "p m n a": ['Space Group P m n a', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3) 1/2+X ,   -Y ,1/2+Z ( 4) 1/2-X ,   -Y ,1/2+Z '] ,
    4589 "f 41 3 2": ['Space Group F 41 3 2', 'The lattice is noncentrosymmetric F-centered cubic', 'Multiplicity of a general site is 96', 'The Laue symmetry is m3m', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 3/4-Y ,3/4+X ,1/4+Z ( 5) 1/4+Z ,3/4-Y ,3/4+X ( 6) 3/4+X ,1/4+Z ,3/4-Y ', '( 7)    -X ,1/2-Y ,1/2+Z ( 8) 1/2-Z ,1/2+X ,   -Y ( 9)    -Y ,1/2-Z ,1/2+X ', '(10) 1/2+X ,   -Y ,1/2-Z (11) 1/2+Z ,   -X ,1/2-Y (12) 1/2-Y ,1/2+Z ,   -X ', '(13) 1/4+Y ,3/4-X ,3/4+Z (14) 3/4+Z ,1/4+Y ,3/4-X (15) 3/4-X ,3/4+Z ,1/4+Y ', '(16) 1/4-X ,1/4-Z ,1/4-Y (17) 1/4-Y ,1/4-X ,1/4-Z (18) 1/4-Z ,1/4-Y ,1/4-X ', '(19) 1/2+Y ,   -Z ,1/2-X (20) 3/4+Y ,1/4+X ,3/4-Z (21) 3/4-Z ,3/4+Y ,1/4+X ', '(22) 1/4+X ,3/4-Z ,3/4+Y (23) 1/2-X ,1/2+Y ,   -Z (24)    -Z ,1/2-X ,1/2+Y '] ,
    4590 "r -3 r": ['Space Group R -3 r', 'The lattice is centrosymmetric primitive rhombohedral', 'Multiplicity of a general site is 6', 'The Laue symmetry is 3R', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X '] ,
    4591 "p 1 1 2/m": ['Space Group P 1 1 2/m', 'The lattice is centrosymmetric primitive monoclinic', 'Multiplicity of a general site is 4', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is c', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,   -Y ,    Z '] ,
    4592 "p 64": ['Space Group P 64', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 6/m', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,2/3+Z ( 3)    -Y ,   X-Y,1/3+Z ', '( 4)    -X ,   -Y ,    Z ( 5)    Y-X,   -X ,2/3+Z ( 6)     Y ,   Y-X,1/3+Z '] ,
    4593 "p c c a": ['Space Group P c c a', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,    Y ,1/2+Z ', '( 3)     X ,   -Y ,1/2+Z ( 4) 1/2-X ,   -Y ,    Z '] ,
    4594 "f m -3": ['Space Group F m -3', 'The lattice is centrosymmetric F-centered cubic', 'Multiplicity of a general site is 96', 'The Laue symmetry is m3', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     X ,    Y ,   -Z ( 5)    -Z ,    X ,    Y ( 6)     Y ,   -Z ,    X ', '( 7)    -Z ,    X ,   -Y ( 8)    -Y ,   -Z ,    X ( 9)     Y ,   -Z ,   -X ', '(10)    -X ,    Y ,   -Z (11)    -Z ,   -X ,    Y (12)     X ,   -Y ,   -Z '] ,
    4595 "p -6": ['Space Group P -6', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 6/m', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    Y-X,   -X ,   -Z ( 3)    -Y ,   X-Y,    Z ', '( 4)     X ,    Y ,   -Z ( 5)    Y-X,   -X ,    Z ( 6)    -Y ,   X-Y,   -Z '] ,
    4596 "i m m m": ['Space Group I m m m', 'The lattice is centrosymmetric I-centered orthorhombic', 'Multiplicity of a general site is 16', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3)     X ,   -Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4597 "p -4 2 m": ['Space Group P -4 2 m', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Y ,   -X ,   -Z ', '( 3)    -X ,   -Y ,    Z ( 4)    -Y ,    X ,   -Z ', '( 5)    -X ,    Y ,   -Z ( 6)     Y ,    X ,    Z ', '( 7)     X ,   -Y ,   -Z ( 8)    -Y ,   -X ,    Z '] ,
    4598 "p 21 3": ['Space Group P 21 3', 'The lattice is noncentrosymmetric primitive cubic', 'Multiplicity of a general site is 12', 'The Laue symmetry is m3', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/2+X ,1/2-Y ,   -Z ( 5)    -Z ,1/2+X ,1/2-Y ( 6) 1/2-Y ,   -Z ,1/2+X ', '( 7) 1/2-Z ,   -X ,1/2+Y ( 8) 1/2+Y ,1/2-Z ,   -X ( 9)    -Y ,1/2+Z ,1/2-X ', '(10) 1/2-X ,   -Y ,1/2+Z (11) 1/2+Z ,1/2-X ,   -Y (12)    -X ,1/2+Y ,1/2-Z '] ,
    4599 "p 4 m m": ['Space Group P 4 m m', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z ', '( 5)    -X ,    Y ,    Z ( 6)    -Y ,   -X ,    Z ', '( 7)     X ,   -Y ,    Z ( 8)     Y ,    X ,    Z '] ,
    4600 "p -4 m 2": ['Space Group P -4 m 2', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Y ,   -X ,   -Z ', '( 3)    -X ,   -Y ,    Z ( 4)    -Y ,    X ,   -Z ', '( 5)    -X ,    Y ,    Z ( 6)     Y ,    X ,   -Z ', '( 7)     X ,   -Y ,    Z ( 8)    -Y ,   -X ,   -Z '] ,
    4601 "c 2/c": ['Space Group C 2/c', 'The lattice is centrosymmetric C-centered monoclinic', 'Multiplicity of a general site is 8', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,1/2-Z '] ,
    4602 "p 42 3 2": ['Space Group P 42 3 2', 'The lattice is noncentrosymmetric primitive cubic', 'Multiplicity of a general site is 24', 'The Laue symmetry is m3m', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/2-Y ,1/2+X ,1/2+Z ( 5) 1/2+Z ,1/2-Y ,1/2+X ( 6) 1/2+X ,1/2+Z ,1/2-Y ', '( 7)    -X ,   -Y ,    Z ( 8)    -Z ,    X ,   -Y ( 9)    -Y ,   -Z ,    X ', '(10)     X ,   -Y ,   -Z (11)     Z ,   -X ,   -Y (12)    -Y ,    Z ,   -X ', '(13) 1/2+Y ,1/2-X ,1/2+Z (14) 1/2+Z ,1/2+Y ,1/2-X (15) 1/2-X ,1/2+Z ,1/2+Y ', '(16) 1/2-X ,1/2-Z ,1/2-Y (17) 1/2-Y ,1/2-X ,1/2-Z (18) 1/2-Z ,1/2-Y ,1/2-X ', '(19)     Y ,   -Z ,   -X (20) 1/2+Y ,1/2+X ,1/2-Z (21) 1/2-Z ,1/2+Y ,1/2+X ', '(22) 1/2+X ,1/2-Z ,1/2+Y (23)    -X ,    Y ,   -Z (24)    -Z ,   -X ,    Y '] ,
    4603 "p 6/m c c": ['Space Group P 6/m c c', 'The lattice is centrosymmetric primitive hexagonal', 'Multiplicity of a general site is 24', 'The Laue symmetry is 6/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,    Z ( 3)    -Y ,   X-Y,    Z ', '( 4)    -X ,   -Y ,    Z ( 5)    Y-X,   -X ,    Z ( 6)     Y ,   Y-X,    Z ', '( 7)    Y-X,    Y ,1/2+Z ( 8)    -X ,   Y-X,1/2+Z ( 9)    -Y ,   -X ,1/2+Z ', '(10)    X-Y,   -Y ,1/2+Z (11)     X ,   X-Y,1/2+Z (12)     Y ,    X ,1/2+Z '] ,
    4604 "f m 3": ['Space Group F m 3', 'The lattice is centrosymmetric F-centered cubic', 'Multiplicity of a general site is 96', 'The Laue symmetry is m3', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     X ,    Y ,   -Z ( 5)    -Z ,    X ,    Y ( 6)     Y ,   -Z ,    X ', '( 7)    -Z ,    X ,   -Y ( 8)    -Y ,   -Z ,    X ( 9)     Y ,   -Z ,   -X ', '(10)    -X ,    Y ,   -Z (11)    -Z ,   -X ,    Y (12)     X ,   -Y ,   -Z '] ,
    4605 "p n n a": ['Space Group P n n a', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,1/2+Y ,1/2+Z ', '( 3) 1/2+X ,1/2-Y ,1/2+Z ( 4) 1/2-X ,   -Y ,    Z '] ,
    4606 "i -4 3 d": ['Space Group I -4 3 d', 'The lattice is noncentrosymmetric I-centered cubic', 'Multiplicity of a general site is 48', 'The Laue symmetry is m3m', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 3/4+Y ,1/4-X ,3/4-Z ( 5) 3/4-Z ,3/4+Y ,1/4-X ( 6) 1/4-X ,3/4-Z ,3/4+Y ', '( 7)    -X ,1/2-Y ,    Z ( 8) 1/2-Z ,    X ,   -Y ( 9)    -Y ,1/2-Z ,    X ', '(10)     X ,   -Y ,1/2-Z (11)     Z ,   -X ,1/2-Y (12) 1/2-Y ,    Z ,   -X ', '(13) 1/4-Y ,1/4+X ,3/4-Z (14) 3/4-Z ,1/4-Y ,1/4+X (15) 1/4+X ,3/4-Z ,1/4-Y ', '(16) 3/4+X ,3/4+Z ,3/4+Y (17) 3/4+Y ,3/4+X ,3/4+Z (18) 3/4+Z ,3/4+Y ,3/4+X ', '(19) 1/2+Y ,1/2-Z ,   -X (20) 3/4-Y ,1/4-X ,1/4+Z (21) 1/4+Z ,3/4-Y ,1/4-X ', '(22) 1/4-X ,1/4+Z ,3/4-Y (23)    -X ,1/2+Y ,1/2-Z (24) 1/2-Z ,   -X ,1/2+Y '] ,
    4607 "p n n n": ['Space Group P n n n', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,1/2+Y ,1/2+Z ', '( 3) 1/2+X ,   -Y ,1/2+Z ( 4) 1/2-X ,1/2-Y ,    Z '] ,
    4608 "p n n m": ['Space Group P n n m', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,1/2+Y ,1/2+Z ', '( 3) 1/2+X ,1/2-Y ,1/2+Z ( 4)    -X ,   -Y ,    Z '] ,
    4609 "p -4": ['Space Group P -4', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 4', 'The Laue symmetry is 4/m', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Y ,   -X ,   -Z ', '( 3)    -X ,   -Y ,    Z ( 4)    -Y ,    X ,   -Z '] ,
    4610 "i -4 3 m": ['Space Group I -4 3 m', 'The lattice is noncentrosymmetric I-centered cubic', 'Multiplicity of a general site is 48', 'The Laue symmetry is m3m', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     Y ,   -X ,   -Z ( 5)    -Z ,    Y ,   -X ( 6)    -X ,   -Z ,    Y ', '( 7)    -X ,   -Y ,    Z ( 8)    -Z ,    X ,   -Y ( 9)    -Y ,   -Z ,    X ', '(10)     X ,   -Y ,   -Z (11)     Z ,   -X ,   -Y (12)    -Y ,    Z ,   -X ', '(13)    -Y ,    X ,   -Z (14)    -Z ,   -Y ,    X (15)     X ,   -Z ,   -Y ', '(16)     X ,    Z ,    Y (17)     Y ,    X ,    Z (18)     Z ,    Y ,    X ', '(19)     Y ,   -Z ,   -X (20)    -Y ,   -X ,    Z (21)     Z ,   -Y ,   -X ', '(22)    -X ,    Z ,   -Y (23)    -X ,    Y ,   -Z (24)    -Z ,   -X ,    Y '] ,
    4611 "p 65": ['Space Group P 65', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 6/m', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,5/6+Z ( 3)    -Y ,   X-Y,2/3+Z ', '( 4)    -X ,   -Y ,1/2+Z ( 5)    Y-X,   -X ,1/3+Z ( 6)     Y ,   Y-X,1/6+Z '] ,
    4612 "r 3 r": ['Space Group R 3 r', 'The lattice is noncentrosymmetric primitive rhombohedral', 'Multiplicity of a general site is 3', 'The Laue symmetry is 3R', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X '] ,
    4613 "p 2/m 1 1": ['Space Group P 2/m 1 1', 'The lattice is centrosymmetric primitive monoclinic', 'Multiplicity of a general site is 4', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is a', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     X ,   -Y ,   -Z '] ,
    4614 "i 41/a": ['Space Group I 41/a', 'The lattice is centrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2) 3/4-Y ,1/4+X ,1/4+Z ', '( 3) 1/2-X ,   -Y ,1/2+Z ( 4) 3/4+Y ,3/4-X ,3/4+Z '] ,
    4615 "p 63 c m": ['Space Group P 63 c m', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,1/2+Z ( 3)    -Y ,   X-Y,    Z ', '( 4)    -X ,   -Y ,1/2+Z ( 5)    Y-X,   -X ,    Z ( 6)     Y ,   Y-X,1/2+Z ', '( 7)    Y-X,    Y ,1/2+Z ( 8)    -X ,   Y-X,    Z ( 9)    -Y ,   -X ,1/2+Z ', '(10)    X-Y,   -Y ,    Z (11)     X ,   X-Y,1/2+Z (12)     Y ,    X ,    Z '] ,
    4616 "c 1 2 1": ['Space Group C 1 2 1', 'The lattice is noncentrosymmetric C-centered monoclinic', 'Multiplicity of a general site is 4', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The location of the origin is arbitrary in y', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,   -Z '] ,
    4617 "p b c n": ['Space Group P b c n', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,1/2+Y ,    Z ', '( 3)     X ,   -Y ,1/2+Z ( 4) 1/2-X ,1/2-Y ,1/2+Z '] ,
    4618 "p b c m": ['Space Group P b c m', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,1/2+Y ,    Z ', '( 3)     X ,1/2-Y ,1/2+Z ( 4)    -X ,   -Y ,1/2+Z '] ,
    4619 "a m m 2": ['Space Group A m m 2', 'The lattice is noncentrosymmetric A-centered orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3)     X ,   -Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4620 "i m -3 m": ['Space Group I m -3 m', 'The lattice is centrosymmetric I-centered cubic', 'Multiplicity of a general site is 96', 'The Laue symmetry is m3m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     X ,    Y ,   -Z ( 5)    -Z ,    X ,    Y ( 6)     Y ,   -Z ,    X ', '( 7)    -Z ,    X ,   -Y ( 8)    -Y ,   -Z ,    X ( 9)     Y ,   -Z ,   -X ', '(10)    -X ,    Y ,   -Z (11)    -Z ,   -X ,    Y (12)     X ,   -Y ,   -Z ', '(13)     Y ,    X ,    Z (14)     Z ,    Y ,    X (15)     X ,    Z ,    Y ', '(16)     Y ,    X ,   -Z (17)    -Z ,    Y ,    X (18)     X ,   -Z ,    Y ', '(19)    -Z ,    Y ,   -X (20)    -X ,   -Z ,    Y (21)     X ,   -Z ,   -Y ', '(22)    -Y ,    X ,   -Z (23)    -Z ,   -Y ,    X (24)     Y ,   -X ,   -Z '] ,
    4621 "i 4 m m": ['Space Group I 4 m m', 'The lattice is noncentrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z ', '( 5)    -X ,    Y ,    Z ( 6)    -Y ,   -X ,    Z ', '( 7)     X ,   -Y ,    Z ( 8)     Y ,    X ,    Z '] ,
    4622 "p 61 2 2": ['Space Group P 61 2 2', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,1/6+Z ( 3)    -Y ,   X-Y,1/3+Z ', '( 4)    -X ,   -Y ,1/2+Z ( 5)    Y-X,   -X ,2/3+Z ( 6)     Y ,   Y-X,5/6+Z ', '( 7)    X-Y,   -Y ,   -Z ( 8)     X ,   X-Y,1/6-Z ( 9)     Y ,    X ,1/3-Z ', '(10)    Y-X,    Y ,1/2-Z (11)    -X ,   Y-X,2/3-Z (12)    -Y ,   -X ,5/6-Z '] ,
    4623 "i m m 2": ['Space Group I m m 2', 'The lattice is noncentrosymmetric I-centered orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3)     X ,   -Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4624 "p 42/n c m": ['Space Group P 42/n c m', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-Y ,    X ,1/2+Z ', '( 3) 1/2-X ,1/2-Y ,    Z ( 4)     Y ,1/2-X ,1/2+Z ', '( 5) 1/2-X ,    Y ,1/2+Z ( 6) 1/2-Y ,1/2-X ,    Z ', '( 7)     X ,1/2-Y ,1/2+Z ( 8)     Y ,    X ,    Z '] ,
    4625 "p b c a": ['Space Group P b c a', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,1/2+Y ,    Z ', '( 3)     X ,1/2-Y ,1/2+Z ( 4) 1/2-X ,   -Y ,1/2+Z '] ,
    4626 "p 4 21 2": ['Space Group P 4 21 2', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-Y ,1/2+X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4) 1/2+Y ,1/2-X ,    Z ', '( 5) 1/2-X ,1/2+Y ,   -Z ( 6)    -Y ,   -X ,   -Z ', '( 7) 1/2+X ,1/2-Y ,   -Z ( 8)     Y ,    X ,   -Z '] ,
    4627 "p 4/n n c": ['Space Group P 4/n n c', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-Y ,    X ,    Z ', '( 3) 1/2-X ,1/2-Y ,    Z ( 4)     Y ,1/2-X ,    Z ', '( 5)    -X ,1/2+Y ,1/2+Z ( 6)    -Y ,   -X ,1/2+Z ', '( 7) 1/2+X ,   -Y ,1/2+Z ( 8) 1/2+Y ,1/2+X ,1/2+Z '] ,
    4628 "f m -3 m": ['Space Group F m -3 m', 'The lattice is centrosymmetric F-centered cubic', 'Multiplicity of a general site is 192', 'The Laue symmetry is m3m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     X ,    Y ,   -Z ( 5)    -Z ,    X ,    Y ( 6)     Y ,   -Z ,    X ', '( 7)    -Z ,    X ,   -Y ( 8)    -Y ,   -Z ,    X ( 9)     Y ,   -Z ,   -X ', '(10)    -X ,    Y ,   -Z (11)    -Z ,   -X ,    Y (12)     X ,   -Y ,   -Z ', '(13)     Y ,    X ,    Z (14)     Z ,    Y ,    X (15)     X ,    Z ,    Y ', '(16)     Y ,    X ,   -Z (17)    -Z ,    Y ,    X (18)     X ,   -Z ,    Y ', '(19)    -Z ,    Y ,   -X (20)    -X ,   -Z ,    Y (21)     X ,   -Z ,   -Y ', '(22)    -Y ,    X ,   -Z (23)    -Z ,   -Y ,    X (24)     Y ,   -X ,   -Z '] ,
    4629 "p 4/m m m": ['Space Group P 4/m m m', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z ', '( 5)    -X ,    Y ,    Z ( 6)    -Y ,   -X ,    Z ', '( 7)     X ,   -Y ,    Z ( 8)     Y ,    X ,    Z '] ,
    4630 "f m -3 c": ['Space Group F m -3 c', 'The lattice is centrosymmetric F-centered cubic', 'Multiplicity of a general site is 192', 'The Laue symmetry is m3m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     X ,    Y ,   -Z ( 5)    -Z ,    X ,    Y ( 6)     Y ,   -Z ,    X ', '( 7)    -Z ,    X ,   -Y ( 8)    -Y ,   -Z ,    X ( 9)     Y ,   -Z ,   -X ', '(10)    -X ,    Y ,   -Z (11)    -Z ,   -X ,    Y (12)     X ,   -Y ,   -Z ', '(13)     Y ,    X ,1/2+Z (14) 1/2+Z ,    Y ,    X (15)     X ,1/2+Z ,    Y ', '(16)     Y ,    X ,1/2-Z (17) 1/2-Z ,    Y ,    X (18)     X ,1/2-Z ,    Y ', '(19) 1/2-Z ,    Y ,   -X (20)    -X ,1/2-Z ,    Y (21)     X ,1/2-Z ,   -Y ', '(22)    -Y ,    X ,1/2-Z (23) 1/2-Z ,   -Y ,    X (24)     Y ,   -X ,1/2-Z '] ,
    4631 "p n -3": ['Space Group P n -3', 'The lattice is centrosymmetric primitive cubic', 'Multiplicity of a general site is 24', 'The Laue symmetry is m3', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/2+X ,1/2+Y ,   -Z ( 5)    -Z ,1/2+X ,1/2+Y ( 6) 1/2+Y ,   -Z ,1/2+X ', '( 7) 1/2-Z ,    X ,1/2-Y ( 8) 1/2-Y ,1/2-Z ,    X ( 9)     Y ,1/2-Z ,1/2-X ', '(10) 1/2-X ,    Y ,1/2-Z (11) 1/2-Z ,1/2-X ,    Y (12)     X ,1/2-Y ,1/2-Z '] ,
    4632 "p c c 2": ['Space Group P c c 2', 'The lattice is noncentrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 4', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,1/2+Z ', '( 3)     X ,   -Y ,1/2+Z ( 4)    -X ,   -Y ,    Z '] ,
    4633 "i 41 3 2": ['Space Group I 41 3 2', 'The lattice is noncentrosymmetric I-centered cubic', 'Multiplicity of a general site is 48', 'The Laue symmetry is m3m', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/4-Y ,3/4+X ,1/4+Z ( 5) 1/4+Z ,1/4-Y ,3/4+X ( 6) 3/4+X ,1/4+Z ,1/4-Y ', '( 7) 1/2-X ,   -Y ,1/2+Z ( 8)    -Z ,1/2+X ,1/2-Y ( 9) 1/2-Y ,   -Z ,1/2+X ', '(10) 1/2+X ,1/2-Y ,   -Z (11) 1/2+Z ,1/2-X ,   -Y (12)    -Y ,1/2+Z ,1/2-X ', '(13) 1/4+Y ,1/4-X ,3/4+Z (14) 3/4+Z ,1/4+Y ,1/4-X (15) 1/4-X ,3/4+Z ,1/4+Y ', '(16) 3/4-X ,3/4-Z ,3/4-Y (17) 3/4-Y ,3/4-X ,3/4-Z (18) 3/4-Z ,3/4-Y ,3/4-X ', '(19) 1/2+Y ,1/2-Z ,   -X (20) 3/4+Y ,1/4+X ,1/4-Z (21) 1/4-Z ,3/4+Y ,1/4+X ', '(22) 1/4+X ,1/4-Z ,3/4+Y (23)    -X ,1/2+Y ,1/2-Z (24) 1/2-Z ,   -X ,1/2+Y '] ,
    4634 "p 42 m c": ['Space Group P 42 m c', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,1/2+Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,1/2+Z ', '( 5)    -X ,    Y ,    Z ( 6)    -Y ,   -X ,1/2+Z ', '( 7)     X ,   -Y ,    Z ( 8)     Y ,    X ,1/2+Z '] ,
    4635 "p 4 c c": ['Space Group P 4 c c', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z ', '( 5)    -X ,    Y ,1/2+Z ( 6)    -Y ,   -X ,1/2+Z ', '( 7)     X ,   -Y ,1/2+Z ( 8)     Y ,    X ,1/2+Z '] ,
    4636 "p m -3 m": ['Space Group P m -3 m', 'The lattice is centrosymmetric primitive cubic', 'Multiplicity of a general site is 48', 'The Laue symmetry is m3m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     X ,    Y ,   -Z ( 5)    -Z ,    X ,    Y ( 6)     Y ,   -Z ,    X ', '( 7)    -Z ,    X ,   -Y ( 8)    -Y ,   -Z ,    X ( 9)     Y ,   -Z ,   -X ', '(10)    -X ,    Y ,   -Z (11)    -Z ,   -X ,    Y (12)     X ,   -Y ,   -Z ', '(13)     Y ,    X ,    Z (14)     Z ,    Y ,    X (15)     X ,    Z ,    Y ', '(16)     Y ,    X ,   -Z (17)    -Z ,    Y ,    X (18)     X ,   -Z ,    Y ', '(19)    -Z ,    Y ,   -X (20)    -X ,   -Z ,    Y (21)     X ,   -Z ,   -Y ', '(22)    -Y ,    X ,   -Z (23)    -Z ,   -Y ,    X (24)     Y ,   -X ,   -Z '] ,
    4637 "p 32 1 2": ['Space Group P 32 1 2', 'The lattice is noncentrosymmetric primitive trigonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 31m', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,2/3+Z ( 3)    Y-X,   -X ,1/3+Z ', '( 4)     X ,   X-Y,   -Z ( 5)    Y-X,    Y ,2/3-Z ( 6)    -Y ,   -X ,1/3-Z '] ,
    4638 "p 32 1 1": ['Space Group P 32 1 1', 'The lattice is noncentrosymmetric primitive trigonal', 'Multiplicity of a general site is 3', 'The Laue symmetry is 3', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,2/3+Z ( 3)    Y-X,   -X ,1/3+Z '] ,
    4639 "r -3 m r": ['Space Group R -3 m r', 'The lattice is centrosymmetric primitive rhombohedral', 'Multiplicity of a general site is 12', 'The Laue symmetry is 3mR', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     Y ,    X ,    Z ( 5)     Z ,    Y ,    X ( 6)     X ,    Z ,    Y '] ,
    4640 "p 3 c 1": ['Space Group P 3 c 1', 'The lattice is noncentrosymmetric primitive trigonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 3m1', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)    Y-X,    Y ,1/2+Z ( 5)    -Y ,   -X ,1/2+Z ( 6)     X ,   X-Y,1/2+Z '] ,
    4641 "p 2 2 21": ['Space Group P 2 2 21', 'The lattice is noncentrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 4', 'The Laue symmetry is mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     X ,   -Y ,   -Z ', '( 3)    -X ,    Y ,1/2-Z ( 4)    -X ,   -Y ,1/2+Z '] ,
    4642 "p 63": ['Space Group P 63', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 6/m', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,1/2+Z ( 3)    -Y ,   X-Y,    Z ', '( 4)    -X ,   -Y ,1/2+Z ( 5)    Y-X,   -X ,    Z ( 6)     Y ,   Y-X,1/2+Z '] ,
    4643 "p m 3": ['Space Group P m 3', 'The lattice is centrosymmetric primitive cubic', 'Multiplicity of a general site is 24', 'The Laue symmetry is m3', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     X ,    Y ,   -Z ( 5)    -Z ,    X ,    Y ( 6)     Y ,   -Z ,    X ', '( 7)    -Z ,    X ,   -Y ( 8)    -Y ,   -Z ,    X ( 9)     Y ,   -Z ,   -X ', '(10)    -X ,    Y ,   -Z (11)    -Z ,   -X ,    Y (12)     X ,   -Y ,   -Z '] ,
    4644 "p 42/m": ['Space Group P 42/m', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,1/2+Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,1/2+Z '] ,
    4645 "p m c 21": ['Space Group P m c 21', 'The lattice is noncentrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 4', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,    Z ', '( 3)     X ,   -Y ,1/2+Z ( 4)    -X ,   -Y ,1/2+Z '] ,
    4646 "p 42/n": ['Space Group P 42/n', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,1/2+X ,1/2+Z ', '( 3) 1/2-X ,1/2-Y ,    Z ( 4) 1/2+Y ,   -X ,1/2+Z '] ,
    4647 "a m a 2": ['Space Group A m a 2', 'The lattice is noncentrosymmetric A-centered orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,    Y ,    Z ', '( 3) 1/2+X ,   -Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4648 "p 6/m": ['Space Group P 6/m', 'The lattice is centrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,    Z ( 3)    -Y ,   X-Y,    Z ', '( 4)    -X ,   -Y ,    Z ( 5)    Y-X,   -X ,    Z ( 6)     Y ,   Y-X,    Z '] ,
    4649 "p -6 c 2": ['Space Group P -6 c 2', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    Y-X,   -X ,1/2-Z ( 3)    -Y ,   X-Y,    Z ', '( 4)     X ,    Y ,1/2-Z ( 5)    Y-X,   -X ,    Z ( 6)    -Y ,   X-Y,1/2-Z ', '( 7)    Y-X,    Y ,1/2+Z ( 8)     X ,   X-Y,   -Z ( 9)    -Y ,   -X ,1/2+Z ', '(10)    Y-X,    Y ,   -Z (11)     X ,   X-Y,1/2+Z (12)    -Y ,   -X ,   -Z '] ,
    4650 "i -4 c 2": ['Space Group I -4 c 2', 'The lattice is noncentrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Y ,   -X ,   -Z ', '( 3)    -X ,   -Y ,    Z ( 4)    -Y ,    X ,   -Z ', '( 5)    -X ,    Y ,1/2+Z ( 6)     Y ,    X ,1/2-Z ', '( 7)     X ,   -Y ,1/2+Z ( 8)    -Y ,   -X ,1/2-Z '] ,
    4651 "F -1": ['Space Group F -1', 'The lattice is centrosymmetric F-centered triclinic', 'Multiplicity of a general site is 8', 'The Laue symmetry is -1', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z '] ,
    4652 "p 3 1 m": ['Space Group P 3 1 m', 'The lattice is noncentrosymmetric primitive trigonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 31m', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)     Y ,    X ,    Z ( 5)    -X ,   Y-X,    Z ( 6)    X-Y,   -Y ,    Z '] ,
    4653 "c c c 2": ['Space Group C c c 2', 'The lattice is noncentrosymmetric C-centered orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,1/2+Z ', '( 3)     X ,   -Y ,1/2+Z ( 4)    -X ,   -Y ,    Z '] ,
    4654 "i m 3": ['Space Group I m 3', 'The lattice is centrosymmetric I-centered cubic', 'Multiplicity of a general site is 48', 'The Laue symmetry is m3', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     X ,    Y ,   -Z ( 5)    -Z ,    X ,    Y ( 6)     Y ,   -Z ,    X ', '( 7)    -Z ,    X ,   -Y ( 8)    -Y ,   -Z ,    X ( 9)     Y ,   -Z ,   -X ', '(10)    -X ,    Y ,   -Z (11)    -Z ,   -X ,    Y (12)     X ,   -Y ,   -Z '] ,
    4655 "p -4 3 m": ['Space Group P -4 3 m', 'The lattice is noncentrosymmetric primitive cubic', 'Multiplicity of a general site is 24', 'The Laue symmetry is m3m', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     Y ,   -X ,   -Z ( 5)    -Z ,    Y ,   -X ( 6)    -X ,   -Z ,    Y ', '( 7)    -X ,   -Y ,    Z ( 8)    -Z ,    X ,   -Y ( 9)    -Y ,   -Z ,    X ', '(10)     X ,   -Y ,   -Z (11)     Z ,   -X ,   -Y (12)    -Y ,    Z ,   -X ', '(13)    -Y ,    X ,   -Z (14)    -Z ,   -Y ,    X (15)     X ,   -Z ,   -Y ', '(16)     X ,    Z ,    Y (17)     Y ,    X ,    Z (18)     Z ,    Y ,    X ', '(19)     Y ,   -Z ,   -X (20)    -Y ,   -X ,    Z (21)     Z ,   -Y ,   -X ', '(22)    -X ,    Z ,   -Y (23)    -X ,    Y ,   -Z (24)    -Z ,   -X ,    Y '] ,
    4656 "p -4 3 n": ['Space Group P -4 3 n', 'The lattice is noncentrosymmetric primitive cubic', 'Multiplicity of a general site is 24', 'The Laue symmetry is m3m', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/2+Y ,1/2-X ,1/2-Z ( 5) 1/2-Z ,1/2+Y ,1/2-X ( 6) 1/2-X ,1/2-Z ,1/2+Y ', '( 7)    -X ,   -Y ,    Z ( 8)    -Z ,    X ,   -Y ( 9)    -Y ,   -Z ,    X ', '(10)     X ,   -Y ,   -Z (11)     Z ,   -X ,   -Y (12)    -Y ,    Z ,   -X ', '(13) 1/2-Y ,1/2+X ,1/2-Z (14) 1/2-Z ,1/2-Y ,1/2+X (15) 1/2+X ,1/2-Z ,1/2-Y ', '(16) 1/2+X ,1/2+Z ,1/2+Y (17) 1/2+Y ,1/2+X ,1/2+Z (18) 1/2+Z ,1/2+Y ,1/2+X ', '(19)     Y ,   -Z ,   -X (20) 1/2-Y ,1/2-X ,1/2+Z (21) 1/2+Z ,1/2-Y ,1/2-X ', '(22) 1/2-X ,1/2+Z ,1/2-Y (23)    -X ,    Y ,   -Z (24)    -Z ,   -X ,    Y '] ,
    4657 "p -3 1 c": ['Space Group P -3 1 c', 'The lattice is centrosymmetric primitive trigonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 31m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)     Y ,    X ,1/2+Z ( 5)    -X ,   Y-X,1/2+Z ( 6)    X-Y,   -Y ,1/2+Z '] ,
    4658 "r 3 m": ['Space Group R 3 m', 'The lattice is noncentrosymmetric R-centered trigonal', 'Multiplicity of a general site is 18', 'The Laue symmetry is 3m1', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)    Y-X,    Y ,    Z ( 5)    -Y ,   -X ,    Z ( 6)     X ,   X-Y,    Z '] ,
    4659 "p 21": ['Space Group P 21', 'The lattice is noncentrosymmetric primitive monoclinic', 'Multiplicity of a general site is 2', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The location of the origin is arbitrary in y', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,1/2+Y ,   -Z '] ,
    4660 "r -3": ['Space Group R -3', 'The lattice is centrosymmetric R-centered trigonal', 'Multiplicity of a general site is 18', 'The Laue symmetry is 3', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z '] ,
    4661 "c m": ['Space Group C m', 'The lattice is noncentrosymmetric C-centered monoclinic', 'Multiplicity of a general site is 4', 'The Laue symmetry is 2/m', 'The unique monoclinic axis is b', 'The location of the origin is arbitrary in x z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     X ,   -Y ,    Z '] ,
    4662 "p 32 2 1": ['Space Group P 32 2 1', 'The lattice is noncentrosymmetric primitive trigonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 3m1', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,2/3+Z ( 3)    Y-X,   -X ,1/3+Z ', '( 4)     Y ,    X ,   -Z ( 5)    -X ,   Y-X,2/3-Z ( 6)    X-Y,   -Y ,1/3-Z '] ,
    4663 "i 21 21 21": ['Space Group I 21 21 21', 'The lattice is noncentrosymmetric I-centered orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2) 1/2+X ,1/2-Y ,   -Z ', '( 3)    -X ,1/2+Y ,1/2-Z ( 4) 1/2-X ,   -Y ,1/2+Z '] ,
    4664 "p 42 2 2": ['Space Group P 42 2 2', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,1/2+Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,1/2+Z ', '( 5)    -X ,    Y ,   -Z ( 6)    -Y ,   -X ,1/2-Z ', '( 7)     X ,   -Y ,   -Z ( 8)     Y ,    X ,1/2-Z '] ,
    4665 "i -4 2 m": ['Space Group I -4 2 m', 'The lattice is noncentrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Y ,   -X ,   -Z ', '( 3)    -X ,   -Y ,    Z ( 4)    -Y ,    X ,   -Z ', '( 5)    -X ,    Y ,   -Z ( 6)     Y ,    X ,    Z ', '( 7)     X ,   -Y ,   -Z ( 8)    -Y ,   -X ,    Z '] ,
    4666 "p 65 1 1": ['Space Group P 65 1 1', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 6/m', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,5/6+Z ( 3)    -Y ,   X-Y,2/3+Z ', '( 4)    -X ,   -Y ,1/2+Z ( 5)    Y-X,   -X ,1/3+Z ( 6)     Y ,   Y-X,1/6+Z '] ,
    4667 "p 61": ['Space Group P 61', 'The lattice is noncentrosymmetric primitive hexagonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 6/m', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,1/6+Z ( 3)    -Y ,   X-Y,1/3+Z ', '( 4)    -X ,   -Y ,1/2+Z ( 5)    Y-X,   -X ,2/3+Z ( 6)     Y ,   Y-X,5/6+Z '] ,
    4668 "i 2 3": ['Space Group I 2 3', 'The lattice is noncentrosymmetric I-centered cubic', 'Multiplicity of a general site is 24', 'The Laue symmetry is m3', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     X ,   -Y ,   -Z ( 5)    -Z ,    X ,   -Y ( 6)    -Y ,   -Z ,    X ', '( 7)    -Z ,   -X ,    Y ( 8)     Y ,   -Z ,   -X ( 9)    -Y ,    Z ,   -X ', '(10)    -X ,   -Y ,    Z (11)     Z ,   -X ,   -Y (12)    -X ,    Y ,   -Z '] ,
    4669 "i -4 2 d": ['Space Group I -4 2 d', 'The lattice is noncentrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)     Y ,   -X ,   -Z ', '( 3)    -X ,   -Y ,    Z ( 4)    -Y ,    X ,   -Z ', '( 5) 1/2-X ,    Y ,3/4-Z ( 6)     Y ,1/2+X ,1/4+Z ', '( 7) 1/2+X ,   -Y ,3/4-Z ( 8)    -Y ,1/2-X ,1/4+Z '] ,
    4670 "p a 3": ['Space Group P a 3', 'The lattice is centrosymmetric primitive cubic', 'Multiplicity of a general site is 24', 'The Laue symmetry is m3', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/2+X ,    Y ,1/2-Z ( 5) 1/2-Z ,1/2+X ,    Y ( 6)     Y ,1/2-Z ,1/2+X ', '( 7)    -Z ,1/2+X ,1/2-Y ( 8) 1/2-Y ,   -Z ,1/2+X ( 9) 1/2+Y ,1/2-Z ,   -X ', '(10)    -X ,1/2+Y ,1/2-Z (11) 1/2-Z ,   -X ,1/2+Y (12) 1/2+X ,1/2-Y ,   -Z '] ,
    4671 "f 2 3": ['Space Group F 2 3', 'The lattice is noncentrosymmetric F-centered cubic', 'Multiplicity of a general site is 48', 'The Laue symmetry is m3', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     X ,   -Y ,   -Z ( 5)    -Z ,    X ,   -Y ( 6)    -Y ,   -Z ,    X ', '( 7)    -Z ,   -X ,    Y ( 8)     Y ,   -Z ,   -X ( 9)    -Y ,    Z ,   -X ', '(10)    -X ,   -Y ,    Z (11)     Z ,   -X ,   -Y (12)    -X ,    Y ,   -Z '] ,
    4672 "i 4 c m": ['Space Group I 4 c m', 'The lattice is noncentrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z ', '( 5)    -X ,    Y ,1/2+Z ( 6)    -Y ,   -X ,1/2+Z ', '( 7)     X ,   -Y ,1/2+Z ( 8)     Y ,    X ,1/2+Z '] ,
    4673 "r 3 c": ['Space Group R 3 c', 'The lattice is noncentrosymmetric R-centered trigonal', 'Multiplicity of a general site is 18', 'The Laue symmetry is 3m1', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)    Y-X,    Y ,1/2+Z ( 5)    -Y ,   -X ,1/2+Z ( 6)     X ,   X-Y,1/2+Z '] ,
    4674 "p n m a": ['Space Group P n m a', 'The lattice is centrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,1/2+Y ,1/2+Z ', '( 3)     X ,1/2-Y ,    Z ( 4) 1/2-X ,   -Y ,1/2+Z '] ,
    4675 "r 3 c r": ['Space Group R 3 c r', 'The lattice is noncentrosymmetric primitive rhombohedral', 'Multiplicity of a general site is 6', 'The Laue symmetry is 3mR', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/2+Y ,1/2+X ,1/2+Z ( 5) 1/2+Z ,1/2+Y ,1/2+X ( 6) 1/2+X ,1/2+Z ,1/2+Y '] ,
    4676 "p n c 2": ['Space Group P n c 2', 'The lattice is noncentrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 4', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,1/2+Y ,1/2+Z ', '( 3)     X ,1/2-Y ,1/2+Z ( 4)    -X ,   -Y ,    Z '] ,
    4677 "c 2 2 21": ['Space Group C 2 2 21', 'The lattice is noncentrosymmetric C-centered orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     X ,   -Y ,   -Z ', '( 3)    -X ,    Y ,1/2-Z ( 4)    -X ,   -Y ,1/2+Z '] ,
    4678 "r 3 m r": ['Space Group R 3 m r', 'The lattice is noncentrosymmetric primitive rhombohedral', 'Multiplicity of a general site is 6', 'The Laue symmetry is 3mR', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4)     Y ,    X ,    Z ( 5)     Z ,    Y ,    X ( 6)     X ,    Z ,    Y '] ,
    4679 "p 43 2 2": ['Space Group P 43 2 2', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,3/4+Z ', '( 3)    -X ,   -Y ,1/2+Z ( 4)     Y ,   -X ,1/4+Z ', '( 5)    -X ,    Y ,   -Z ( 6)    -Y ,   -X ,3/4-Z ', '( 7)     X ,   -Y ,1/2-Z ( 8)     Y ,    X ,1/4-Z '] ,
    4680 "r 3 2": ['Space Group R 3 2', 'The lattice is noncentrosymmetric R-centered trigonal', 'Multiplicity of a general site is 18', 'The Laue symmetry is 3m1', '\nThe equivalent positions are:', '\n    (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)     Y ,    X ,   -Z ( 5)    -X ,   Y-X,   -Z ( 6)    X-Y,   -Y ,   -Z '] ,
    4681 "p m a 2": ['Space Group P m a 2', 'The lattice is noncentrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 4', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,    Y ,    Z ', '( 3) 1/2+X ,   -Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4682 "i 4/m m m": ['Space Group I 4/m m m', 'The lattice is centrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 32', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,    Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,    Z ', '( 5)    -X ,    Y ,    Z ( 6)    -Y ,   -X ,    Z ', '( 7)     X ,   -Y ,    Z ( 8)     Y ,    X ,    Z '] ,
    4683 "c c c a": ['Space Group C c c a', 'The lattice is centrosymmetric C-centered orthorhombic', 'Multiplicity of a general site is 16', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-X ,    Y ,1/2+Z ', '( 3)     X ,   -Y ,1/2+Z ( 4) 1/2-X ,   -Y ,    Z '] ,
    4684 "i 41 m d": ['Space Group I 41 m d', 'The lattice is noncentrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,1/2+X ,1/4+Z ', '( 3) 1/2-X ,1/2-Y ,1/2+Z ( 4) 1/2+Y ,   -X ,3/4+Z ', '( 5)    -X ,    Y ,    Z ( 6)    -Y ,1/2-X ,1/4+Z ', '( 7) 1/2+X ,1/2-Y ,1/2+Z ( 8) 1/2+Y ,    X ,3/4+Z '] ,
    4685 "c c c m": ['Space Group C c c m', 'The lattice is centrosymmetric C-centered orthorhombic', 'Multiplicity of a general site is 16', 'The Laue symmetry is mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,    Y ,1/2+Z ', '( 3)     X ,   -Y ,1/2+Z ( 4)    -X ,   -Y ,    Z '] ,
    4686 "p 41 21 2": ['Space Group P 41 21 2', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-Y ,1/2+X ,1/4+Z ', '( 3)    -X ,   -Y ,1/2+Z ( 4) 1/2+Y ,1/2-X ,3/4+Z ', '( 5) 1/2-X ,1/2+Y ,1/4-Z ( 6)    -Y ,   -X ,1/2-Z ', '( 7) 1/2+X ,1/2-Y ,3/4-Z ( 8)     Y ,    X ,   -Z '] ,
    4687 "p 31": ['Space Group P 31', 'The lattice is noncentrosymmetric primitive trigonal', 'Multiplicity of a general site is 3', 'The Laue symmetry is 3', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,1/3+Z ( 3)    Y-X,   -X ,2/3+Z '] ,
    4688 "p 32": ['Space Group P 32', 'The lattice is noncentrosymmetric primitive trigonal', 'Multiplicity of a general site is 3', 'The Laue symmetry is 3', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,2/3+Z ( 3)    Y-X,   -X ,1/3+Z '] ,
    4689 "p 42/m n m": ['Space Group P 42/m n m', 'The lattice is centrosymmetric primitive tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2-Y ,1/2+X ,1/2+Z ', '( 3)    -X ,   -Y ,    Z ( 4) 1/2+Y ,1/2-X ,1/2+Z ', '( 5) 1/2-X ,1/2+Y ,1/2+Z ( 6)    -Y ,   -X ,    Z ', '( 7) 1/2+X ,1/2-Y ,1/2+Z ( 8)     Y ,    X ,    Z '] ,
    4690 "p 3 1 2": ['Space Group P 3 1 2', 'The lattice is noncentrosymmetric primitive trigonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 31m', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)     X ,   X-Y,   -Z ( 5)    Y-X,    Y ,   -Z ( 6)    -Y ,   -X ,   -Z '] ,
    4691 "i 41 2 2": ['Space Group I 41 2 2', 'The lattice is noncentrosymmetric I-centered tetragonal', 'Multiplicity of a general site is 16', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,1/2+X ,1/4+Z ', '( 3) 1/2-X ,1/2-Y ,1/2+Z ( 4) 1/2+Y ,   -X ,3/4+Z ', '( 5) 1/2-X ,    Y ,3/4-Z ( 6)    -Y ,   -X ,   -Z ', '( 7)     X ,1/2-Y ,1/4-Z ( 8) 1/2+Y ,1/2+X ,1/2-Z '] ,
    4692 "p -3 m 1": ['Space Group P -3 m 1', 'The lattice is centrosymmetric primitive trigonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 3m1', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)    Y-X,    Y ,    Z ( 5)    -Y ,   -X ,    Z ( 6)     X ,   X-Y,    Z '] ,
    4693 "a b m 2": ['Space Group A b m 2', 'The lattice is noncentrosymmetric A-centered orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2)+', '', '( 1)     X ,    Y ,    Z ( 2)    -X ,1/2+Y ,    Z ', '( 3)     X ,1/2-Y ,    Z ( 4)    -X ,   -Y ,    Z '] ,
    4694 "p n -3 n": ['Space Group P n -3 n', 'The lattice is centrosymmetric primitive cubic', 'Multiplicity of a general site is 48', 'The Laue symmetry is m3m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/2+X ,1/2+Y ,   -Z ( 5)    -Z ,1/2+X ,1/2+Y ( 6) 1/2+Y ,   -Z ,1/2+X ', '( 7) 1/2-Z ,    X ,1/2-Y ( 8) 1/2-Y ,1/2-Z ,    X ( 9)     Y ,1/2-Z ,1/2-X ', '(10) 1/2-X ,    Y ,1/2-Z (11) 1/2-Z ,1/2-X ,    Y (12)     X ,1/2-Y ,1/2-Z ', '(13) 1/2+Y ,1/2+X ,1/2+Z (14) 1/2+Z ,1/2+Y ,1/2+X (15) 1/2+X ,1/2+Z ,1/2+Y ', '(16)     Y ,    X ,1/2-Z (17) 1/2-Z ,    Y ,    X (18)     X ,1/2-Z ,    Y ', '(19)    -Z ,1/2+Y ,   -X (20)    -X ,   -Z ,1/2+Y (21) 1/2+X ,   -Z ,   -Y ', '(22)    -Y ,1/2+X ,   -Z (23)    -Z ,   -Y ,1/2+X (24) 1/2+Y ,   -X ,   -Z '] ,
    4695 "r 3": ['Space Group R 3', 'The lattice is noncentrosymmetric R-centered trigonal', 'Multiplicity of a general site is 9', 'The Laue symmetry is 3', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '\n    (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z '] ,
    4696 "c 2 2 2": ['Space Group C 2 2 2', 'The lattice is noncentrosymmetric C-centered orthorhombic', 'Multiplicity of a general site is 8', 'The Laue symmetry is mmm', '\nThe equivalent positions are:', '\n    (0,0,0; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     X ,   -Y ,   -Z ', '( 3)    -X ,    Y ,   -Z ( 4)    -X ,   -Y ,    Z '] ,
    4697 "p n -3 m": ['Space Group P n -3 m', 'The lattice is centrosymmetric primitive cubic', 'Multiplicity of a general site is 48', 'The Laue symmetry is m3m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/2+X ,1/2+Y ,   -Z ( 5)    -Z ,1/2+X ,1/2+Y ( 6) 1/2+Y ,   -Z ,1/2+X ', '( 7) 1/2-Z ,    X ,1/2-Y ( 8) 1/2-Y ,1/2-Z ,    X ( 9)     Y ,1/2-Z ,1/2-X ', '(10) 1/2-X ,    Y ,1/2-Z (11) 1/2-Z ,1/2-X ,    Y (12)     X ,1/2-Y ,1/2-Z ', '(13)     Y ,    X ,    Z (14)     Z ,    Y ,    X (15)     X ,    Z ,    Y ', '(16) 1/2+Y ,1/2+X ,   -Z (17)    -Z ,1/2+Y ,1/2+X (18) 1/2+X ,   -Z ,1/2+Y ', '(19) 1/2-Z ,    Y ,1/2-X (20) 1/2-X ,1/2-Z ,    Y (21)     X ,1/2-Z ,1/2-Y ', '(22) 1/2-Y ,    X ,1/2-Z (23) 1/2-Z ,1/2-Y ,    X (24)     Y ,1/2-X ,1/2-Z '] ,
    4698 "p 42 c m": ['Space Group P 42 c m', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,1/2+Z ', '( 3)    -X ,   -Y ,    Z ( 4)     Y ,   -X ,1/2+Z ', '( 5)    -X ,    Y ,1/2+Z ( 6)    -Y ,   -X ,    Z ', '( 7)     X ,   -Y ,1/2+Z ( 8)     Y ,    X ,    Z '] ,
    4699 "p 6/m 1 1": ['Space Group P 6/m 1 1', 'The lattice is centrosymmetric primitive hexagonal', 'Multiplicity of a general site is 12', 'The Laue symmetry is 6/m', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    X-Y,    X ,    Z ( 3)    -Y ,   X-Y,    Z ', '( 4)    -X ,   -Y ,    Z ( 5)    Y-X,   -X ,    Z ( 6)     Y ,   Y-X,    Z '] ,
    4700 "p 21 21 21": ['Space Group P 21 21 21', 'The lattice is noncentrosymmetric primitive orthorhombic', 'Multiplicity of a general site is 4', 'The Laue symmetry is mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2) 1/2+X ,1/2-Y ,   -Z ', '( 3)    -X ,1/2+Y ,1/2-Z ( 4) 1/2-X ,   -Y ,1/2+Z '] ,
    4701 "f d -3": ['Space Group F d -3', 'The lattice is centrosymmetric F-centered cubic', 'Multiplicity of a general site is 96', 'The Laue symmetry is m3', 'The inversion center is located at 0,0,0', '\nThe equivalent positions are:', '\n    (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', '', '( 1)     X ,    Y ,    Z ( 2)     Z ,    X ,    Y ( 3)     Y ,    Z ,    X ', '( 4) 1/4+X ,1/4+Y ,   -Z ( 5)    -Z ,1/4+X ,1/4+Y ( 6) 1/4+Y ,   -Z ,1/4+X ', '( 7) 1/4-Z ,1/2+X ,3/4-Y ( 8) 3/4-Y ,1/4-Z ,1/2+X ( 9) 1/2+Y ,1/4-Z ,3/4-X ', '(10) 3/4-X ,1/2+Y ,1/4-Z (11) 1/4-Z ,3/4-X ,1/2+Y (12) 1/2+X ,3/4-Y ,1/4-Z '] ,
    4702 "p -4 b 2": ['Space Group P -4 b 2', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)     Y ,   -X ,   -Z ', '( 3)    -X ,   -Y ,    Z ( 4)    -Y ,    X ,   -Z ', '( 5) 1/2-X ,1/2+Y ,    Z ( 6) 1/2+Y ,1/2+X ,   -Z ', '( 7) 1/2+X ,1/2-Y ,    Z ( 8) 1/2-Y ,1/2-X ,   -Z '] ,
    4703 "p 3 1 c": ['Space Group P 3 1 c', 'The lattice is noncentrosymmetric primitive trigonal', 'Multiplicity of a general site is 6', 'The Laue symmetry is 31m', 'The location of the origin is arbitrary in z', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,   X-Y,    Z ( 3)    Y-X,   -X ,    Z ', '( 4)     Y ,    X ,1/2+Z ( 5)    -X ,   Y-X,1/2+Z ( 6)    X-Y,   -Y ,1/2+Z '] ,
    4704 "p 41 2 2": ['Space Group P 41 2 2', 'The lattice is noncentrosymmetric primitive tetragonal', 'Multiplicity of a general site is 8', 'The Laue symmetry is 4/mmm', '\nThe equivalent positions are:', '', '( 1)     X ,    Y ,    Z ( 2)    -Y ,    X ,1/4+Z ', '( 3)    -X ,   -Y ,1/2+Z ( 4)     Y ,   -X ,3/4+Z ', '( 5)    -X ,    Y ,   -Z ( 6)    -Y ,   -X ,1/4-Z ', '( 7)     X ,   -Y ,1/2-Z ( 8)     Y ,    X ,3/4-Z '] ,
     4450"p 4/n b m": [' Space Group: P 4/n b m', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-Y ,    X ,    Z \t', ' ( 3) 1/2-X ,1/2-Y ,    Z \t( 4)     Y ,1/2-X ,    Z \t', ' ( 5)    -X ,1/2+Y ,    Z \t( 6)    -Y ,   -X ,    Z \t', ' ( 7) 1/2+X ,   -Y ,    Z \t( 8) 1/2+Y ,1/2+X ,    Z \t'] ,
     4451"p -4 c 2": [' Space Group: P -4 c 2', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Y ,   -X ,   -Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)    -Y ,    X ,   -Z \t', ' ( 5)    -X ,    Y ,1/2+Z \t( 6)     Y ,    X ,1/2-Z \t', ' ( 7)     X ,   -Y ,1/2+Z \t( 8)    -Y ,   -X ,1/2-Z \t'] ,
     4452"r -3 m": [' Space Group: R -3 m', ' The lattice is centrosymmetric R-centered trigonal', ' Multiplicity of a general site is 36', ' The Laue symmetry is 3m1', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)    Y-X,    Y ,    Z \t( 5)    -Y ,   -X ,    Z \t( 6)     X ,   X-Y,    Z \t'] ,
     4453"p 42 n m": [' Space Group: P 42 n m', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-Y ,1/2+X ,1/2+Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4) 1/2+Y ,1/2-X ,1/2+Z \t', ' ( 5) 1/2-X ,1/2+Y ,1/2+Z \t( 6)    -Y ,   -X ,    Z \t', ' ( 7) 1/2+X ,1/2-Y ,1/2+Z \t( 8)     Y ,    X ,    Z \t'] ,
     4454"a b a 2": [' Space Group: A b a 2', ' The lattice is noncentrosymmetric A-centered orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,1/2+Y ,    Z \t', ' ( 3) 1/2+X ,1/2-Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4455"p 42/m b c": [' Space Group: P 42/m b c', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,1/2+Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,1/2+Z \t', ' ( 5) 1/2-X ,1/2+Y ,    Z \t( 6) 1/2-Y ,1/2-X ,1/2+Z \t', ' ( 7) 1/2+X ,1/2-Y ,    Z \t( 8) 1/2+Y ,1/2+X ,1/2+Z \t'] ,
     4456"p m n 21": [' Space Group: P m n 21', ' The lattice is noncentrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 4', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3) 1/2+X ,   -Y ,1/2+Z \t( 4) 1/2-X ,   -Y ,1/2+Z \t'] ,
     4457"i 4/m c m ": [' Space Group: I 4/m c m', ' The lattice is centrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 32', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t', ' ( 5)    -X ,    Y ,1/2+Z \t( 6)    -Y ,   -X ,1/2+Z \t', ' ( 7)     X ,   -Y ,1/2+Z \t( 8)     Y ,    X ,1/2+Z \t'] ,
     4458"p 42/m c m": [' Space Group: P 42/m c m', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,1/2+Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,1/2+Z \t', ' ( 5)    -X ,    Y ,1/2+Z \t( 6)    -Y ,   -X ,    Z \t', ' ( 7)     X ,   -Y ,1/2+Z \t( 8)     Y ,    X ,    Z \t'] ,
     4459"p m -3": [' Space Group: P m -3', ' The lattice is centrosymmetric primitive cubic', ' Multiplicity of a general site is 24', ' The Laue symmetry is m3', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     X ,    Y ,   -Z \t( 5)    -Z ,    X ,    Y \t( 6)     Y ,   -Z ,    X \t', ' ( 7)    -Z ,    X ,   -Y \t( 8)    -Y ,   -Z ,    X \t( 9)     Y ,   -Z ,   -X \t', ' (10)    -X ,    Y ,   -Z \t(11)    -Z ,   -X ,    Y \t(12)     X ,   -Y ,   -Z \t'] ,
     4460"p b a 2": [' Space Group: P b a 2', ' The lattice is noncentrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 4', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,1/2+Y ,    Z \t', ' ( 3) 1/2+X ,1/2-Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4461"i b a m": [' Space Group: I b a m', ' The lattice is centrosymmetric I-centered orthorhombic', ' Multiplicity of a general site is 16', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,1/2+Y ,    Z \t', ' ( 3) 1/2+X ,1/2-Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4462"p 21/m": [' Space Group: P 21/m', ' The lattice is centrosymmetric primitive monoclinic', ' Multiplicity of a general site is 4', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,1/2+Y ,   -Z \t'] ,
     4463"p 41": [' Space Group: P 41', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 4', ' The Laue symmetry is 4/m', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,1/4+Z \t', ' ( 3)    -X ,   -Y ,1/2+Z \t( 4)     Y ,   -X ,3/4+Z \t'] ,
     4464"p 42": [' Space Group: P 42', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 4', ' The Laue symmetry is 4/m', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,1/2+Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,1/2+Z \t'] ,
     4465"p 43": [' Space Group: P 43', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 4', ' The Laue symmetry is 4/m', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,3/4+Z \t', ' ( 3)    -X ,   -Y ,1/2+Z \t( 4)     Y ,   -X ,1/4+Z \t'] ,
     4466"f 4 3 2": [' Space Group: F 4 3 2', ' The lattice is noncentrosymmetric F-centered cubic', ' Multiplicity of a general site is 96', ' The Laue symmetry is m3m', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)    -Y ,    X ,    Z \t( 5)     Z ,   -Y ,    X \t( 6)     X ,    Z ,   -Y \t', ' ( 7)    -X ,   -Y ,    Z \t( 8)    -Z ,    X ,   -Y \t( 9)    -Y ,   -Z ,    X \t', ' (10)     X ,   -Y ,   -Z \t(11)     Z ,   -X ,   -Y \t(12)    -Y ,    Z ,   -X \t', ' (13)     Y ,   -X ,    Z \t(14)     Z ,    Y ,   -X \t(15)    -X ,    Z ,    Y \t', ' (16)    -X ,   -Z ,   -Y \t(17)    -Y ,   -X ,   -Z \t(18)    -Z ,   -Y ,   -X \t', ' (19)     Y ,   -Z ,   -X \t(20)     Y ,    X ,   -Z \t(21)    -Z ,    Y ,    X \t', ' (22)     X ,   -Z ,    Y \t(23)    -X ,    Y ,   -Z \t(24)    -Z ,   -X ,    Y \t'] ,
     4467"p -4 21 m": [' Space Group: P -4 21 m', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Y ,   -X ,   -Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)    -Y ,    X ,   -Z \t', ' ( 5) 1/2-X ,1/2+Y ,   -Z \t( 6) 1/2+Y ,1/2+X ,    Z \t', ' ( 7) 1/2+X ,1/2-Y ,   -Z \t( 8) 1/2-Y ,1/2-X ,    Z \t'] ,
     4468"p 63/m c m": [' Space Group: P 63/m c m', ' The lattice is centrosymmetric primitive hexagonal', ' Multiplicity of a general site is 24', ' The Laue symmetry is 6/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,1/2+Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)    -X ,   -Y ,1/2+Z \t( 5)    Y-X,   -X ,    Z \t( 6)     Y ,   Y-X,1/2+Z \t', ' ( 7)    Y-X,    Y ,1/2+Z \t( 8)    -X ,   Y-X,    Z \t( 9)    -Y ,   -X ,1/2+Z \t', ' (10)    X-Y,   -Y ,    Z \t(11)     X ,   X-Y,1/2+Z \t(12)     Y ,    X ,    Z \t'] ,
     4469"p 2 3": [' Space Group: P 2 3', ' The lattice is noncentrosymmetric primitive cubic', ' Multiplicity of a general site is 12', ' The Laue symmetry is m3', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     X ,   -Y ,   -Z \t( 5)    -Z ,    X ,   -Y \t( 6)    -Y ,   -Z ,    X \t', ' ( 7)    -Z ,   -X ,    Y \t( 8)     Y ,   -Z ,   -X \t( 9)    -Y ,    Z ,   -X \t', ' (10)    -X ,   -Y ,    Z \t(11)     Z ,   -X ,   -Y \t(12)    -X ,    Y ,   -Z \t'] ,
     4470"i a 3": [' Space Group: I a 3', ' The lattice is centrosymmetric I-centered cubic', ' Multiplicity of a general site is 48', ' The Laue symmetry is m3', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/2+X ,    Y ,1/2-Z \t( 5) 1/2-Z ,1/2+X ,    Y \t( 6)     Y ,1/2-Z ,1/2+X \t', ' ( 7)    -Z ,1/2+X ,1/2-Y \t( 8) 1/2-Y ,   -Z ,1/2+X \t( 9) 1/2+Y ,1/2-Z ,   -X \t', ' (10)    -X ,1/2+Y ,1/2-Z \t(11) 1/2-Z ,   -X ,1/2+Y \t(12) 1/2+X ,1/2-Y ,   -Z \t'] ,
     4471"p 3 2 1": [' Space Group: P 3 2 1', ' The lattice is noncentrosymmetric primitive trigonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 3m1', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)     Y ,    X ,   -Z \t( 5)    -X ,   Y-X,   -Z \t( 6)    X-Y,   -Y ,   -Z \t'] ,
     4472"i a -3 d": [' Space Group: I a -3 d', ' The lattice is centrosymmetric I-centered cubic', ' Multiplicity of a general site is 96', ' The Laue symmetry is m3m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/2+X ,    Y ,1/2-Z \t( 5) 1/2-Z ,1/2+X ,    Y \t( 6)     Y ,1/2-Z ,1/2+X \t', ' ( 7)    -Z ,1/2+X ,1/2-Y \t( 8) 1/2-Y ,   -Z ,1/2+X \t( 9) 1/2+Y ,1/2-Z ,   -X \t', ' (10)    -X ,1/2+Y ,1/2-Z \t(11) 1/2-Z ,   -X ,1/2+Y \t(12) 1/2+X ,1/2-Y ,   -Z \t', ' (13) 1/4+Y ,1/4+X ,1/4+Z \t(14) 1/4+Z ,1/4+Y ,1/4+X \t(15) 1/4+X ,1/4+Z ,1/4+Y \t', ' (16) 3/4+Y ,1/4+X ,1/4-Z \t(17) 1/4-Z ,3/4+Y ,1/4+X \t(18) 1/4+X ,1/4-Z ,3/4+Y \t', ' (19) 3/4-Z ,3/4+Y ,1/4-X \t(20) 1/4-X ,3/4-Z ,3/4+Y \t(21) 3/4+X ,1/4-Z ,3/4-Y \t', ' (22) 3/4-Y ,3/4+X ,1/4-Z \t(23) 1/4-Z ,3/4-Y ,3/4+X \t(24) 3/4+Y ,1/4-X ,3/4-Z \t'] ,
     4473"p a -3": [' Space Group: P a -3', ' The lattice is centrosymmetric primitive cubic', ' Multiplicity of a general site is 24', ' The Laue symmetry is m3', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/2+X ,    Y ,1/2-Z \t( 5) 1/2-Z ,1/2+X ,    Y \t( 6)     Y ,1/2-Z ,1/2+X \t', ' ( 7)    -Z ,1/2+X ,1/2-Y \t( 8) 1/2-Y ,   -Z ,1/2+X \t( 9) 1/2+Y ,1/2-Z ,   -X \t', ' (10)    -X ,1/2+Y ,1/2-Z \t(11) 1/2-Z ,   -X ,1/2+Y \t(12) 1/2+X ,1/2-Y ,   -Z \t'] ,
     4474"c 2": [' Space Group: C 2', ' The lattice is noncentrosymmetric C-centered monoclinic', ' Multiplicity of a general site is 4', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The location of the origin is arbitrary in y', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,   -Z \t'] ,
     4475"r 3 2 h": [' Space Group: R 3 2 h', ' The lattice is noncentrosymmetric R-centered trigonal', ' Multiplicity of a general site is 18', ' The Laue symmetry is 3m1', '\n The equivalent positions are:', '\n (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)     Y ,    X ,   -Z \t( 5)    -X ,   Y-X,   -Z \t( 6)    X-Y,   -Y ,   -Z \t'] ,
     4476"p c": [' Space Group: P c', ' The lattice is noncentrosymmetric primitive monoclinic', ' Multiplicity of a general site is 2', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The location of the origin is arbitrary in x z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     X ,   -Y ,1/2+Z \t'] ,
     4477"f 2 2 2": [' Space Group: F 2 2 2', ' The lattice is noncentrosymmetric F-centered orthorhombic', ' Multiplicity of a general site is 16', ' The Laue symmetry is mmm', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     X ,   -Y ,   -Z \t', ' ( 3)    -X ,    Y ,   -Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4478"p 6 c c": [' Space Group: P 6 c c', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,    Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)    -X ,   -Y ,    Z \t( 5)    Y-X,   -X ,    Z \t( 6)     Y ,   Y-X,    Z \t', ' ( 7)    Y-X,    Y ,1/2+Z \t( 8)    -X ,   Y-X,1/2+Z \t( 9)    -Y ,   -X ,1/2+Z \t', ' (10)    X-Y,   -Y ,1/2+Z \t(11)     X ,   X-Y,1/2+Z \t(12)     Y ,    X ,1/2+Z \t'] ,
     4479"r 3 2 r": [' Space Group: R 3 2 r', ' The lattice is noncentrosymmetric primitive rhombohedral', ' Multiplicity of a general site is 6', ' The Laue symmetry is 3mR', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)    -Y ,   -X ,   -Z \t( 5)    -Z ,   -Y ,   -X \t( 6)    -X ,   -Z ,   -Y \t'] ,
     4480"p 62 2 2": [' Space Group: P 62 2 2', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,1/3+Z \t( 3)    -Y ,   X-Y,2/3+Z \t', ' ( 4)    -X ,   -Y ,    Z \t( 5)    Y-X,   -X ,1/3+Z \t( 6)     Y ,   Y-X,2/3+Z \t', ' ( 7)    X-Y,   -Y ,   -Z \t( 8)     X ,   X-Y,1/3-Z \t( 9)     Y ,    X ,2/3-Z \t', ' (10)    Y-X,    Y ,   -Z \t(11)    -X ,   Y-X,1/3-Z \t(12)    -Y ,   -X ,2/3-Z \t'] ,
     4481"i 41 c d": [' Space Group: I 41 c d', ' The lattice is noncentrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,1/2+X ,1/4+Z \t', ' ( 3) 1/2-X ,1/2-Y ,1/2+Z \t( 4) 1/2+Y ,   -X ,3/4+Z \t', ' ( 5)    -X ,    Y ,1/2+Z \t( 6)    -Y ,1/2-X ,3/4+Z \t', ' ( 7) 1/2+X ,1/2-Y ,    Z \t( 8) 1/2+Y ,    X ,1/4+Z \t'] ,
     4482"f m m 2": [' Space Group: F m m 2', ' The lattice is noncentrosymmetric F-centered orthorhombic', ' Multiplicity of a general site is 16', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3)     X ,   -Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4483"p m m 2": [' Space Group: P m m 2', ' The lattice is noncentrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 4', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3)     X ,   -Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4484"p m": [' Space Group: P m', ' The lattice is noncentrosymmetric primitive monoclinic', ' Multiplicity of a general site is 2', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The location of the origin is arbitrary in x z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     X ,   -Y ,    Z \t'] ,
     4485"i 4 2 2": [' Space Group: I 4 2 2', ' The lattice is noncentrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t', ' ( 5)    -X ,    Y ,   -Z \t( 6)    -Y ,   -X ,   -Z \t', ' ( 7)     X ,   -Y ,   -Z \t( 8)     Y ,    X ,   -Z \t'] ,
     4486"p 31 2 1": [' Space Group: P 31 2 1', ' The lattice is noncentrosymmetric primitive trigonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 3m1', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,1/3+Z \t( 3)    Y-X,   -X ,2/3+Z \t', ' ( 4)     Y ,    X ,   -Z \t( 5)    -X ,   Y-X,1/3-Z \t( 6)    X-Y,   -Y ,2/3-Z \t'] ,
     4487"i -4": [' Space Group: I -4', ' The lattice is noncentrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/m', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Y ,   -X ,   -Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)    -Y ,    X ,   -Z \t'] ,
     4488"p 2": [' Space Group: P 2', ' The lattice is noncentrosymmetric primitive monoclinic', ' Multiplicity of a general site is 2', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The location of the origin is arbitrary in y', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,   -Z \t'] ,
     4489"p 21 21 2": [' Space Group: P 21 21 2', ' The lattice is noncentrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 4', ' The Laue symmetry is mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2+X ,1/2-Y ,   -Z \t', ' ( 3) 1/2-X ,1/2+Y ,   -Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4490"c 1 2/c 1": [' Space Group: C 1 2/c 1', ' The lattice is centrosymmetric C-centered monoclinic', ' Multiplicity of a general site is 8', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,1/2-Z \t'] ,
     4491"i b a 2": [' Space Group: I b a 2', ' The lattice is noncentrosymmetric I-centered orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,1/2+Y ,    Z \t', ' ( 3) 1/2+X ,1/2-Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4492"p b a m": [' Space Group: P b a m', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,1/2+Y ,    Z \t', ' ( 3) 1/2+X ,1/2-Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4493"p b a n": [' Space Group: P b a n', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,1/2+Y ,    Z \t', ' ( 3) 1/2+X ,   -Y ,    Z \t( 4) 1/2-X ,1/2-Y ,    Z \t'] ,
     4494"p m -3 n": [' Space Group: P m -3 n', ' The lattice is centrosymmetric primitive cubic', ' Multiplicity of a general site is 48', ' The Laue symmetry is m3m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     X ,    Y ,   -Z \t( 5)    -Z ,    X ,    Y \t( 6)     Y ,   -Z ,    X \t', ' ( 7)    -Z ,    X ,   -Y \t( 8)    -Y ,   -Z ,    X \t( 9)     Y ,   -Z ,   -X \t', ' (10)    -X ,    Y ,   -Z \t(11)    -Z ,   -X ,    Y \t(12)     X ,   -Y ,   -Z \t', ' (13) 1/2+Y ,1/2+X ,1/2+Z \t(14) 1/2+Z ,1/2+Y ,1/2+X \t(15) 1/2+X ,1/2+Z ,1/2+Y \t', ' (16) 1/2+Y ,1/2+X ,1/2-Z \t(17) 1/2-Z ,1/2+Y ,1/2+X \t(18) 1/2+X ,1/2-Z ,1/2+Y \t', ' (19) 1/2-Z ,1/2+Y ,1/2-X \t(20) 1/2-X ,1/2-Z ,1/2+Y \t(21) 1/2+X ,1/2-Z ,1/2-Y \t', ' (22) 1/2-Y ,1/2+X ,1/2-Z \t(23) 1/2-Z ,1/2-Y ,1/2+X \t(24) 1/2+Y ,1/2-X ,1/2-Z \t'] ,
     4495"i b c a": [' Space Group: I b c a', ' The lattice is centrosymmetric I-centered orthorhombic', ' Multiplicity of a general site is 16', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,1/2+Y ,    Z \t', ' ( 3)     X ,1/2-Y ,1/2+Z \t( 4) 1/2-X ,   -Y ,1/2+Z \t'] ,
     4496"p 42 21 2": [' Space Group: P 42 21 2', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-Y ,1/2+X ,1/2+Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4) 1/2+Y ,1/2-X ,1/2+Z \t', ' ( 5) 1/2-X ,1/2+Y ,1/2-Z \t( 6)    -Y ,   -X ,   -Z \t', ' ( 7) 1/2+X ,1/2-Y ,1/2-Z \t( 8)     Y ,    X ,   -Z \t'] ,
     4497"f m m m": [' Space Group: F m m m', ' The lattice is centrosymmetric F-centered orthorhombic', ' Multiplicity of a general site is 32', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3)     X ,   -Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4498"i 41": [' Space Group: I 41', ' The lattice is noncentrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/m', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,1/2+X ,1/4+Z \t', ' ( 3) 1/2-X ,1/2-Y ,1/2+Z \t( 4) 1/2+Y ,   -X ,3/4+Z \t'] ,
     4499"p 6": [' Space Group: P 6', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 6/m', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,    Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)    -X ,   -Y ,    Z \t( 5)    Y-X,   -X ,    Z \t( 6)     Y ,   Y-X,    Z \t'] ,
     4500"p 3": [' Space Group: P 3', ' The lattice is noncentrosymmetric primitive trigonal', ' Multiplicity of a general site is 3', ' The Laue symmetry is 3', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t'] ,
     4501"p m m n": [' Space Group: P m m n', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,    Y ,    Z \t', ' ( 3)     X ,1/2-Y ,    Z \t( 4) 1/2-X ,1/2-Y ,    Z \t'] ,
     4502"p m m m": [' Space Group: P m m m', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3)     X ,   -Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4503"r 3 m h": [' Space Group: R 3 m h', ' The lattice is noncentrosymmetric R-centered trigonal', ' Multiplicity of a general site is 18', ' The Laue symmetry is 3m1', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)    Y-X,    Y ,    Z \t( 5)    -Y ,   -X ,    Z \t( 6)     X ,   X-Y,    Z \t'] ,
     4504"c m c 21": [' Space Group: C m c 21', ' The lattice is noncentrosymmetric C-centered orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3)     X ,   -Y ,1/2+Z \t( 4)    -X ,   -Y ,1/2+Z \t'] ,
     4505"p 1": [' Space Group: P 1', ' The lattice is noncentrosymmetric primitive triclinic', ' Multiplicity of a general site is 1', ' The Laue symmetry is -1', ' The location of the origin is arbitrary in xyz', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t'] ,
     4506"i 4": [' Space Group: I 4', ' The lattice is noncentrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/m', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t'] ,
     4507"p 4": [' Space Group: P 4', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 4', ' The Laue symmetry is 4/m', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t'] ,
     4508"p 42 b c": [' Space Group: P 42 b c', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,1/2+Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,1/2+Z \t', ' ( 5) 1/2-X ,1/2+Y ,    Z \t( 6) 1/2-Y ,1/2-X ,1/2+Z \t', ' ( 7) 1/2+X ,1/2-Y ,    Z \t( 8) 1/2+Y ,1/2+X ,1/2+Z \t'] ,
     4509"p m m a": [' Space Group: P m m a', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,    Y ,    Z \t', ' ( 3)     X ,   -Y ,    Z \t( 4) 1/2-X ,   -Y ,    Z \t'] ,
     4510"i -4 m 2": [' Space Group: I -4 m 2', ' The lattice is noncentrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Y ,   -X ,   -Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)    -Y ,    X ,   -Z \t', ' ( 5)    -X ,    Y ,    Z \t( 6)     Y ,    X ,   -Z \t', ' ( 7)     X ,   -Y ,    Z \t( 8)    -Y ,   -X ,   -Z \t'] ,
     4511"p -4 21 c": [' Space Group: P -4 21 c', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Y ,   -X ,   -Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)    -Y ,    X ,   -Z \t', ' ( 5) 1/2-X ,1/2+Y ,1/2-Z \t( 6) 1/2+Y ,1/2+X ,1/2+Z \t', ' ( 7) 1/2+X ,1/2-Y ,1/2-Z \t( 8) 1/2-Y ,1/2-X ,1/2+Z \t'] ,
     4512"p 4 2 2": [' Space Group: P 4 2 2', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t', ' ( 5)    -X ,    Y ,   -Z \t( 6)    -Y ,   -X ,   -Z \t', ' ( 7)     X ,   -Y ,   -Z \t( 8)     Y ,    X ,   -Z \t'] ,
     4513"p 4/m c c": [' Space Group: P 4/m c c', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t', ' ( 5)    -X ,    Y ,1/2+Z \t( 6)    -Y ,   -X ,1/2+Z \t', ' ( 7)     X ,   -Y ,1/2+Z \t( 8)     Y ,    X ,1/2+Z \t'] ,
     4514"p -6 2 m": [' Space Group: P -6 2 m', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    Y-X,   -X ,   -Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)     X ,    Y ,   -Z \t( 5)    Y-X,   -X ,    Z \t( 6)    -Y ,   X-Y,   -Z \t', ' ( 7)    X-Y,   -Y ,   -Z \t( 8)    -X ,   Y-X,    Z \t( 9)     Y ,    X ,   -Z \t', ' (10)    X-Y,   -Y ,    Z \t(11)    -X ,   Y-X,   -Z \t(12)     Y ,    X ,    Z \t'] ,
     4515"p 1 2/m 1": [' Space Group: P 1 2/m 1', ' The lattice is centrosymmetric primitive monoclinic', ' Multiplicity of a general site is 4', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,   -Z \t'] ,
     4516"p -6 2 c": [' Space Group: P -6 2 c', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    Y-X,   -X ,1/2-Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)     X ,    Y ,1/2-Z \t( 5)    Y-X,   -X ,    Z \t( 6)    -Y ,   X-Y,1/2-Z \t', ' ( 7)    X-Y,   -Y ,   -Z \t( 8)    -X ,   Y-X,1/2+Z \t( 9)     Y ,    X ,   -Z \t', ' (10)    X-Y,   -Y ,1/2+Z \t(11)    -X ,   Y-X,   -Z \t(12)     Y ,    X ,1/2+Z \t'] ,
     4517"p 6 m m": [' Space Group: P 6 m m', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,    Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)    -X ,   -Y ,    Z \t( 5)    Y-X,   -X ,    Z \t( 6)     Y ,   Y-X,    Z \t', ' ( 7)    Y-X,    Y ,    Z \t( 8)    -X ,   Y-X,    Z \t( 9)    -Y ,   -X ,    Z \t', ' (10)    X-Y,   -Y ,    Z \t(11)     X ,   X-Y,    Z \t(12)     Y ,    X ,    Z \t'] ,
     4518"c c": [' Space Group: C c', ' The lattice is noncentrosymmetric C-centered monoclinic', ' Multiplicity of a general site is 4', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The location of the origin is arbitrary in x z', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     X ,   -Y ,1/2+Z \t'] ,
     4519"p 43 3 2": [' Space Group: P 43 3 2', ' The lattice is noncentrosymmetric primitive cubic', ' Multiplicity of a general site is 24', ' The Laue symmetry is m3m', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 3/4-Y ,1/4+X ,3/4+Z \t( 5) 3/4+Z ,3/4-Y ,1/4+X \t( 6) 1/4+X ,3/4+Z ,3/4-Y \t', ' ( 7) 1/2-X ,   -Y ,1/2+Z \t( 8)    -Z ,1/2+X ,1/2-Y \t( 9) 1/2-Y ,   -Z ,1/2+X \t', ' (10) 1/2+X ,1/2-Y ,   -Z \t(11) 1/2+Z ,1/2-X ,   -Y \t(12)    -Y ,1/2+Z ,1/2-X \t', ' (13) 3/4+Y ,3/4-X ,1/4+Z \t(14) 1/4+Z ,3/4+Y ,3/4-X \t(15) 3/4-X ,1/4+Z ,3/4+Y \t', ' (16) 1/4-X ,1/4-Z ,1/4-Y \t(17) 1/4-Y ,1/4-X ,1/4-Z \t(18) 1/4-Z ,1/4-Y ,1/4-X \t', ' (19) 1/2+Y ,1/2-Z ,   -X \t(20) 1/4+Y ,3/4+X ,3/4-Z \t(21) 3/4-Z ,1/4+Y ,3/4+X \t', ' (22) 3/4+X ,3/4-Z ,1/4+Y \t(23)    -X ,1/2+Y ,1/2-Z \t(24) 1/2-Z ,   -X ,1/2+Y \t'] ,
     4520"a 2 2 2": [' Space Group: A 2 2 2', ' The lattice is noncentrosymmetric A-centered orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     X ,   -Y ,   -Z \t', ' ( 3)    -X ,    Y ,   -Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4521"p -3": [' Space Group: P -3', ' The lattice is centrosymmetric primitive trigonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 3', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t'] ,
     4522"p -1": [' Space Group: P -1', ' The lattice is centrosymmetric primitive triclinic', ' Multiplicity of a general site is 2', ' The Laue symmetry is -1', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t'] ,
     4523"f d d 2": [' Space Group: F d d 2', ' The lattice is noncentrosymmetric F-centered orthorhombic', ' Multiplicity of a general site is 16', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/4-X ,1/4+Y ,1/4+Z \t', ' ( 3) 1/4+X ,1/4-Y ,1/4+Z \t( 4)    -X ,1/2-Y ,1/2+Z \t'] ,
     4524"p 62": [' Space Group: P 62', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 6/m', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,1/3+Z \t( 3)    -Y ,   X-Y,2/3+Z \t', ' ( 4)    -X ,   -Y ,    Z \t( 5)    Y-X,   -X ,1/3+Z \t( 6)     Y ,   Y-X,2/3+Z \t'] ,
     4525"c m m a": [' Space Group: C m m a', ' The lattice is centrosymmetric C-centered orthorhombic', ' Multiplicity of a general site is 16', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3)     X ,1/2-Y ,    Z \t( 4)    -X ,1/2-Y ,    Z \t'] ,
     4526"p -3 c 1": [' Space Group: P -3 c 1', ' The lattice is centrosymmetric primitive trigonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 3m1', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)    Y-X,    Y ,1/2+Z \t( 5)    -Y ,   -X ,1/2+Z \t( 6)     X ,   X-Y,1/2+Z \t'] ,
     4527"c m c m": [' Space Group: C m c m', ' The lattice is centrosymmetric C-centered orthorhombic', ' Multiplicity of a general site is 16', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3)     X ,   -Y ,1/2+Z \t( 4)    -X ,   -Y ,1/2+Z \t'] ,
     4528"c m m m": [' Space Group: C m m m', ' The lattice is centrosymmetric C-centered orthorhombic', ' Multiplicity of a general site is 16', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3)     X ,   -Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4529"c m c a": [' Space Group: C m c a', ' The lattice is centrosymmetric C-centered orthorhombic', ' Multiplicity of a general site is 16', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3)     X ,1/2-Y ,1/2+Z \t( 4)    -X ,1/2-Y ,1/2+Z \t'] ,
     4530"i a -3": [' Space Group: I a -3', ' The lattice is centrosymmetric I-centered cubic', ' Multiplicity of a general site is 48', ' The Laue symmetry is m3', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/2+X ,    Y ,1/2-Z \t( 5) 1/2-Z ,1/2+X ,    Y \t( 6)     Y ,1/2-Z ,1/2+X \t', ' ( 7)    -Z ,1/2+X ,1/2-Y \t( 8) 1/2-Y ,   -Z ,1/2+X \t( 9) 1/2+Y ,1/2-Z ,   -X \t', ' (10)    -X ,1/2+Y ,1/2-Z \t(11) 1/2-Z ,   -X ,1/2+Y \t(12) 1/2+X ,1/2-Y ,   -Z \t'] ,
     4531"i m a 2": [' Space Group: I m a 2', ' The lattice is noncentrosymmetric I-centered orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,    Y ,    Z \t', ' ( 3) 1/2+X ,   -Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4532"p 63/m m c": [' Space Group: P 63/m m c', ' The lattice is centrosymmetric primitive hexagonal', ' Multiplicity of a general site is 24', ' The Laue symmetry is 6/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,1/2+Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)    -X ,   -Y ,1/2+Z \t( 5)    Y-X,   -X ,    Z \t( 6)     Y ,   Y-X,1/2+Z \t', ' ( 7)    Y-X,    Y ,    Z \t( 8)    -X ,   Y-X,1/2+Z \t( 9)    -Y ,   -X ,    Z \t', ' (10)    X-Y,   -Y ,1/2+Z \t(11)     X ,   X-Y,    Z \t(12)     Y ,    X ,1/2+Z \t'] ,
     4533"p 4 3 2": [' Space Group: P 4 3 2', ' The lattice is noncentrosymmetric primitive cubic', ' Multiplicity of a general site is 24', ' The Laue symmetry is m3m', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)    -Y ,    X ,    Z \t( 5)     Z ,   -Y ,    X \t( 6)     X ,    Z ,   -Y \t', ' ( 7)    -X ,   -Y ,    Z \t( 8)    -Z ,    X ,   -Y \t( 9)    -Y ,   -Z ,    X \t', ' (10)     X ,   -Y ,   -Z \t(11)     Z ,   -X ,   -Y \t(12)    -Y ,    Z ,   -X \t', ' (13)     Y ,   -X ,    Z \t(14)     Z ,    Y ,   -X \t(15)    -X ,    Z ,    Y \t', ' (16)    -X ,   -Z ,   -Y \t(17)    -Y ,   -X ,   -Z \t(18)    -Z ,   -Y ,   -X \t', ' (19)     Y ,   -Z ,   -X \t(20)     Y ,    X ,   -Z \t(21)    -Z ,    Y ,    X \t', ' (22)     X ,   -Z ,    Y \t(23)    -X ,    Y ,   -Z \t(24)    -Z ,   -X ,    Y \t'] ,
     4534"i 41/a c d": [' Space Group: I 41/a c d', ' The lattice is centrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 32', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/4-Y ,3/4+X ,1/4+Z \t', ' ( 3) 1/2-X ,   -Y ,1/2+Z \t( 4) 1/4+Y ,1/4-X ,3/4+Z \t', ' ( 5)    -X ,    Y ,1/2+Z \t( 6) 1/4-Y ,3/4-X ,3/4+Z \t', ' ( 7) 1/2+X ,   -Y ,    Z \t( 8) 1/4+Y ,1/4+X ,1/4+Z \t'] ,
     4535"p -4 2 c": [' Space Group: P -4 2 c', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Y ,   -X ,   -Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)    -Y ,    X ,   -Z \t', ' ( 5)    -X ,    Y ,1/2-Z \t( 6)     Y ,    X ,1/2+Z \t', ' ( 7)     X ,   -Y ,1/2-Z \t( 8)    -Y ,   -X ,1/2+Z \t'] ,
     4536"p 4 n c": [' Space Group: P 4 n c', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t', ' ( 5) 1/2-X ,1/2+Y ,1/2+Z \t( 6) 1/2-Y ,1/2-X ,1/2+Z \t', ' ( 7) 1/2+X ,1/2-Y ,1/2+Z \t( 8) 1/2+Y ,1/2+X ,1/2+Z \t'] ,
     4537"p 4/m": [' Space Group: P 4/m', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t'] ,
     4538"p 4/n": [' Space Group: P 4/n', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-Y ,    X ,    Z \t', ' ( 3) 1/2-X ,1/2-Y ,    Z \t( 4)     Y ,1/2-X ,    Z \t'] ,
     4539"p 21/c": [' Space Group: P 21/c', ' The lattice is centrosymmetric primitive monoclinic', ' Multiplicity of a general site is 4', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,1/2+Y ,1/2-Z \t'] ,
     4540"r -3 c": [' Space Group: R -3 c', ' The lattice is centrosymmetric R-centered trigonal', ' Multiplicity of a general site is 36', ' The Laue symmetry is 3m1', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)    Y-X,    Y ,1/2+Z \t( 5)    -Y ,   -X ,1/2+Z \t( 6)     X ,   X-Y,1/2+Z \t'] ,
     4541"p 4/n m m": [' Space Group: P 4/n m m', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-Y ,    X ,    Z \t', ' ( 3) 1/2-X ,1/2-Y ,    Z \t( 4)     Y ,1/2-X ,    Z \t', ' ( 5) 1/2-X ,    Y ,    Z \t( 6) 1/2-Y ,1/2-X ,    Z \t', ' ( 7)     X ,1/2-Y ,    Z \t( 8)     Y ,    X ,    Z \t'] ,
     4542"i 4/m": [' Space Group: I 4/m', ' The lattice is centrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t'] ,
     4543"p 3 m 1": [' Space Group: P 3 m 1', ' The lattice is noncentrosymmetric primitive trigonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 3m1', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)    Y-X,    Y ,    Z \t( 5)    -Y ,   -X ,    Z \t( 6)     X ,   X-Y,    Z \t'] ,
     4544"p 63/m": [' Space Group: P 63/m', ' The lattice is centrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,1/2+Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)    -X ,   -Y ,1/2+Z \t( 5)    Y-X,   -X ,    Z \t( 6)     Y ,   Y-X,1/2+Z \t'] ,
     4545"p 6 2 2": [' Space Group: P 6 2 2', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,    Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)    -X ,   -Y ,    Z \t( 5)    Y-X,   -X ,    Z \t( 6)     Y ,   Y-X,    Z \t', ' ( 7)    X-Y,   -Y ,   -Z \t( 8)     X ,   X-Y,   -Z \t( 9)     Y ,    X ,   -Z \t', ' (10)    Y-X,    Y ,   -Z \t(11)    -X ,   Y-X,   -Z \t(12)    -Y ,   -X ,   -Z \t'] ,
     4546"p 2/m": [' Space Group: P 2/m', ' The lattice is centrosymmetric primitive monoclinic', ' Multiplicity of a general site is 4', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,   -Z \t'] ,
     4547"f d 3": [' Space Group: F d 3', ' The lattice is centrosymmetric F-centered cubic', ' Multiplicity of a general site is 96', ' The Laue symmetry is m3', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/4+X ,1/4+Y ,   -Z \t( 5)    -Z ,1/4+X ,1/4+Y \t( 6) 1/4+Y ,   -Z ,1/4+X \t', ' ( 7) 1/4-Z ,1/2+X ,3/4-Y \t( 8) 3/4-Y ,1/4-Z ,1/2+X \t( 9) 1/2+Y ,1/4-Z ,3/4-X \t', ' (10) 3/4-X ,1/2+Y ,1/4-Z \t(11) 1/4-Z ,3/4-X ,1/2+Y \t(12) 1/2+X ,3/4-Y ,1/4-Z \t'] ,
     4548"i 41/a m d": [' Space Group: I 41/a m d', ' The lattice is centrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 32', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/4-Y ,3/4+X ,1/4+Z \t', ' ( 3) 1/2-X ,   -Y ,1/2+Z \t( 4) 1/4+Y ,1/4-X ,3/4+Z \t', ' ( 5)    -X ,    Y ,    Z \t( 6) 1/4-Y ,3/4-X ,1/4+Z \t', ' ( 7) 1/2+X ,   -Y ,1/2+Z \t( 8) 1/4+Y ,1/4+X ,3/4+Z \t'] ,
     4549"p 4/n c c": [' Space Group: P 4/n c c', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-Y ,    X ,    Z \t', ' ( 3) 1/2-X ,1/2-Y ,    Z \t( 4)     Y ,1/2-X ,    Z \t', ' ( 5) 1/2-X ,    Y ,1/2+Z \t( 6) 1/2-Y ,1/2-X ,1/2+Z \t', ' ( 7)     X ,1/2-Y ,1/2+Z \t( 8)     Y ,    X ,1/2+Z \t'] ,
     4550"i m m a": [' Space Group: I m m a', ' The lattice is centrosymmetric I-centered orthorhombic', ' Multiplicity of a general site is 16', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3)     X ,1/2-Y ,    Z \t( 4)    -X ,1/2-Y ,    Z \t'] ,
     4551"p 4 b m": [' Space Group: P 4 b m', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t', ' ( 5) 1/2-X ,1/2+Y ,    Z \t( 6) 1/2-Y ,1/2-X ,    Z \t', ' ( 7) 1/2+X ,1/2-Y ,    Z \t( 8) 1/2+Y ,1/2+X ,    Z \t'] ,
     4552"p 2/c": [' Space Group: P 2/c', ' The lattice is centrosymmetric primitive monoclinic', ' Multiplicity of a general site is 4', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,1/2-Z \t'] ,
     4553"p -6 m 2": [' Space Group: P -6 m 2', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    Y-X,   -X ,   -Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)     X ,    Y ,   -Z \t( 5)    Y-X,   -X ,    Z \t( 6)    -Y ,   X-Y,   -Z \t', ' ( 7)    Y-X,    Y ,    Z \t( 8)     X ,   X-Y,   -Z \t( 9)    -Y ,   -X ,    Z \t', ' (10)    Y-X,    Y ,   -Z \t(11)     X ,   X-Y,    Z \t(12)    -Y ,   -X ,   -Z \t'] ,
     4554"p n n 2": [' Space Group: P n n 2', ' The lattice is noncentrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 4', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,1/2+Y ,1/2+Z \t', ' ( 3) 1/2+X ,1/2-Y ,1/2+Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4555"p 31 1 2": [' Space Group: P 31 1 2', ' The lattice is noncentrosymmetric primitive trigonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 31m', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,1/3+Z \t( 3)    Y-X,   -X ,2/3+Z \t', ' ( 4)     X ,   X-Y,   -Z \t( 5)    Y-X,    Y ,1/3-Z \t( 6)    -Y ,   -X ,2/3-Z \t'] ,
     4556"f -4 3 c": [' Space Group: F -4 3 c', ' The lattice is noncentrosymmetric F-centered cubic', ' Multiplicity of a general site is 96', ' The Laue symmetry is m3m', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/2+Y ,1/2-X ,1/2-Z \t( 5) 1/2-Z ,1/2+Y ,1/2-X \t( 6) 1/2-X ,1/2-Z ,1/2+Y \t', ' ( 7)    -X ,   -Y ,    Z \t( 8)    -Z ,    X ,   -Y \t( 9)    -Y ,   -Z ,    X \t', ' (10)     X ,   -Y ,   -Z \t(11)     Z ,   -X ,   -Y \t(12)    -Y ,    Z ,   -X \t', ' (13) 1/2-Y ,1/2+X ,1/2-Z \t(14) 1/2-Z ,1/2-Y ,1/2+X \t(15) 1/2+X ,1/2-Z ,1/2-Y \t', ' (16) 1/2+X ,1/2+Z ,1/2+Y \t(17) 1/2+Y ,1/2+X ,1/2+Z \t(18) 1/2+Z ,1/2+Y ,1/2+X \t', ' (19)     Y ,   -Z ,   -X \t(20) 1/2-Y ,1/2-X ,1/2+Z \t(21) 1/2+Z ,1/2-Y ,1/2-X \t', ' (22) 1/2-X ,1/2+Z ,1/2-Y \t(23)    -X ,    Y ,   -Z \t(24)    -Z ,   -X ,    Y \t'] ,
     4557"i m -3": [' Space Group: I m -3', ' The lattice is centrosymmetric I-centered cubic', ' Multiplicity of a general site is 48', ' The Laue symmetry is m3', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     X ,    Y ,   -Z \t( 5)    -Z ,    X ,    Y \t( 6)     Y ,   -Z ,    X \t', ' ( 7)    -Z ,    X ,   -Y \t( 8)    -Y ,   -Z ,    X \t( 9)     Y ,   -Z ,   -X \t', ' (10)    -X ,    Y ,   -Z \t(11)    -Z ,   -X ,    Y \t(12)     X ,   -Y ,   -Z \t'] ,
     4558"f -4 3 m": [' Space Group: F -4 3 m', ' The lattice is noncentrosymmetric F-centered cubic', ' Multiplicity of a general site is 96', ' The Laue symmetry is m3m', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     Y ,   -X ,   -Z \t( 5)    -Z ,    Y ,   -X \t( 6)    -X ,   -Z ,    Y \t', ' ( 7)    -X ,   -Y ,    Z \t( 8)    -Z ,    X ,   -Y \t( 9)    -Y ,   -Z ,    X \t', ' (10)     X ,   -Y ,   -Z \t(11)     Z ,   -X ,   -Y \t(12)    -Y ,    Z ,   -X \t', ' (13)    -Y ,    X ,   -Z \t(14)    -Z ,   -Y ,    X \t(15)     X ,   -Z ,   -Y \t', ' (16)     X ,    Z ,    Y \t(17)     Y ,    X ,    Z \t(18)     Z ,    Y ,    X \t', ' (19)     Y ,   -Z ,   -X \t(20)    -Y ,   -X ,    Z \t(21)     Z ,   -Y ,   -X \t', ' (22)    -X ,    Z ,   -Y \t(23)    -X ,    Y ,   -Z \t(24)    -Z ,   -X ,    Y \t'] ,
     4559"i 21 3": [' Space Group: I 21 3', ' The lattice is noncentrosymmetric I-centered cubic', ' Multiplicity of a general site is 24', ' The Laue symmetry is m3', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/2+X ,1/2-Y ,   -Z \t( 5)    -Z ,1/2+X ,1/2-Y \t( 6) 1/2-Y ,   -Z ,1/2+X \t', ' ( 7) 1/2-Z ,   -X ,1/2+Y \t( 8) 1/2+Y ,1/2-Z ,   -X \t( 9)    -Y ,1/2+Z ,1/2-X \t', ' (10) 1/2-X ,   -Y ,1/2+Z \t(11) 1/2+Z ,1/2-X ,   -Y \t(12)    -X ,1/2+Y ,1/2-Z \t'] ,
     4560"p 42/m m c": [' Space Group: P 42/m m c', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,1/2+Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,1/2+Z \t', ' ( 5)    -X ,    Y ,    Z \t( 6)    -Y ,   -X ,1/2+Z \t', ' ( 7)     X ,   -Y ,    Z \t( 8)     Y ,    X ,1/2+Z \t'] ,
     4561"p 65 2 2": [' Space Group: P 65 2 2', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,5/6+Z \t( 3)    -Y ,   X-Y,2/3+Z \t', ' ( 4)    -X ,   -Y ,1/2+Z \t( 5)    Y-X,   -X ,1/3+Z \t( 6)     Y ,   Y-X,1/6+Z \t', ' ( 7)    X-Y,   -Y ,   -Z \t( 8)     X ,   X-Y,5/6-Z \t( 9)     Y ,    X ,2/3-Z \t', ' (10)    Y-X,    Y ,1/2-Z \t(11)    -X ,   Y-X,1/3-Z \t(12)    -Y ,   -X ,1/6-Z \t'] ,
     4562"p 4/m n c": [' Space Group: P 4/m n c', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t', ' ( 5) 1/2-X ,1/2+Y ,1/2+Z \t( 6) 1/2-Y ,1/2-X ,1/2+Z \t', ' ( 7) 1/2+X ,1/2-Y ,1/2+Z \t( 8) 1/2+Y ,1/2+X ,1/2+Z \t'] ,
     4563"c 2/m": [' Space Group: C 2/m', ' The lattice is centrosymmetric C-centered monoclinic', ' Multiplicity of a general site is 8', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,   -Z \t'] ,
     4564"f d d d": [' Space Group: F d d d', ' The lattice is centrosymmetric F-centered orthorhombic', ' Multiplicity of a general site is 32', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,1/4+Y ,1/4+Z \t', ' ( 3) 1/4+X ,   -Y ,1/4+Z \t( 4) 3/4-X ,1/4-Y ,1/2+Z \t'] ,
     4565"c m m 2": [' Space Group: C m m 2', ' The lattice is noncentrosymmetric C-centered orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3)     X ,   -Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4566"p 43 21 2": [' Space Group: P 43 21 2', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-Y ,1/2+X ,3/4+Z \t', ' ( 3)    -X ,   -Y ,1/2+Z \t( 4) 1/2+Y ,1/2-X ,1/4+Z \t', ' ( 5) 1/2-X ,1/2+Y ,3/4-Z \t( 6)    -Y ,   -X ,1/2-Z \t', ' ( 7) 1/2+X ,1/2-Y ,1/4-Z \t( 8)     Y ,    X ,   -Z \t'] ,
     4567"p -3 1 m": [' Space Group: P -3 1 m', ' The lattice is centrosymmetric primitive trigonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 31m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)     Y ,    X ,    Z \t( 5)    -X ,   Y-X,    Z \t( 6)    X-Y,   -Y ,    Z \t'] ,
     4568"i 2 2 2": [' Space Group: I 2 2 2', ' The lattice is noncentrosymmetric I-centered orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     X ,   -Y ,   -Z \t', ' ( 3)    -X ,    Y ,   -Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4569"p 42/n b c": [' Space Group: P 42/n b c', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-Y ,    X ,1/2+Z \t', ' ( 3) 1/2-X ,1/2-Y ,    Z \t( 4)     Y ,1/2-X ,1/2+Z \t', ' ( 5)    -X ,1/2+Y ,    Z \t( 6)    -Y ,   -X ,1/2+Z \t', ' ( 7) 1/2+X ,   -Y ,    Z \t( 8) 1/2+Y ,1/2+X ,1/2+Z \t'] ,
     4570"i 4 3 2": [' Space Group: I 4 3 2', ' The lattice is noncentrosymmetric I-centered cubic', ' Multiplicity of a general site is 48', ' The Laue symmetry is m3m', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)    -Y ,    X ,    Z \t( 5)     Z ,   -Y ,    X \t( 6)     X ,    Z ,   -Y \t', ' ( 7)    -X ,   -Y ,    Z \t( 8)    -Z ,    X ,   -Y \t( 9)    -Y ,   -Z ,    X \t', ' (10)     X ,   -Y ,   -Z \t(11)     Z ,   -X ,   -Y \t(12)    -Y ,    Z ,   -X \t', ' (13)     Y ,   -X ,    Z \t(14)     Z ,    Y ,   -X \t(15)    -X ,    Z ,    Y \t', ' (16)    -X ,   -Z ,   -Y \t(17)    -Y ,   -X ,   -Z \t(18)    -Z ,   -Y ,   -X \t', ' (19)     Y ,   -Z ,   -X \t(20)     Y ,    X ,   -Z \t(21)    -Z ,    Y ,    X \t', ' (22)     X ,   -Z ,    Y \t(23)    -X ,    Y ,   -Z \t(24)    -Z ,   -X ,    Y \t'] ,
     4571"p 41 3 2": [' Space Group: P 41 3 2', ' The lattice is noncentrosymmetric primitive cubic', ' Multiplicity of a general site is 24', ' The Laue symmetry is m3m', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/4-Y ,3/4+X ,1/4+Z \t( 5) 1/4+Z ,1/4-Y ,3/4+X \t( 6) 3/4+X ,1/4+Z ,1/4-Y \t', ' ( 7) 1/2-X ,   -Y ,1/2+Z \t( 8)    -Z ,1/2+X ,1/2-Y \t( 9) 1/2-Y ,   -Z ,1/2+X \t', ' (10) 1/2+X ,1/2-Y ,   -Z \t(11) 1/2+Z ,1/2-X ,   -Y \t(12)    -Y ,1/2+Z ,1/2-X \t', ' (13) 1/4+Y ,1/4-X ,3/4+Z \t(14) 3/4+Z ,1/4+Y ,1/4-X \t(15) 1/4-X ,3/4+Z ,1/4+Y \t', ' (16) 3/4-X ,3/4-Z ,3/4-Y \t(17) 3/4-Y ,3/4-X ,3/4-Z \t(18) 3/4-Z ,3/4-Y ,3/4-X \t', ' (19) 1/2+Y ,1/2-Z ,   -X \t(20) 3/4+Y ,1/4+X ,1/4-Z \t(21) 1/4-Z ,3/4+Y ,1/4+X \t', ' (22) 1/4+X ,1/4-Z ,3/4+Y \t(23)    -X ,1/2+Y ,1/2-Z \t(24) 1/2-Z ,   -X ,1/2+Y \t'] ,
     4572"p 42/n m c": [' Space Group: P 42/n m c', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-Y ,    X ,1/2+Z \t', ' ( 3) 1/2-X ,1/2-Y ,    Z \t( 4)     Y ,1/2-X ,1/2+Z \t', ' ( 5) 1/2-X ,    Y ,    Z \t( 6) 1/2-Y ,1/2-X ,1/2+Z \t', ' ( 7)     X ,1/2-Y ,    Z \t( 8)     Y ,    X ,1/2+Z \t'] ,
     4573"p 64 2 2": [' Space Group: P 64 2 2', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,2/3+Z \t( 3)    -Y ,   X-Y,1/3+Z \t', ' ( 4)    -X ,   -Y ,    Z \t( 5)    Y-X,   -X ,2/3+Z \t( 6)     Y ,   Y-X,1/3+Z \t', ' ( 7)    X-Y,   -Y ,   -Z \t( 8)     X ,   X-Y,2/3-Z \t( 9)     Y ,    X ,1/3-Z \t', ' (10)    Y-X,    Y ,   -Z \t(11)    -X ,   Y-X,2/3-Z \t(12)    -Y ,   -X ,1/3-Z \t'] ,
     4574"p c a 21": [' Space Group: P c a 21', ' The lattice is noncentrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 4', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,    Y ,1/2+Z \t', ' ( 3) 1/2+X ,   -Y ,    Z \t( 4)    -X ,   -Y ,1/2+Z \t'] ,
     4575"f d -3 c": [' Space Group: F d -3 c', ' The lattice is centrosymmetric F-centered cubic', ' Multiplicity of a general site is 192', ' The Laue symmetry is m3m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/4+X ,1/4+Y ,   -Z \t( 5)    -Z ,1/4+X ,1/4+Y \t( 6) 1/4+Y ,   -Z ,1/4+X \t', ' ( 7) 1/4-Z ,1/2+X ,3/4-Y \t( 8) 3/4-Y ,1/4-Z ,1/2+X \t( 9) 1/2+Y ,1/4-Z ,3/4-X \t', ' (10) 3/4-X ,1/2+Y ,1/4-Z \t(11) 1/4-Z ,3/4-X ,1/2+Y \t(12) 1/2+X ,3/4-Y ,1/4-Z \t', ' (13)     Y ,    X ,1/2+Z \t(14) 1/2+Z ,    Y ,    X \t(15)     X ,1/2+Z ,    Y \t', ' (16) 1/4+Y ,1/4+X ,1/2-Z \t(17) 1/2-Z ,1/4+Y ,1/4+X \t(18) 1/4+X ,1/2-Z ,1/4+Y \t', ' (19) 3/4-Z ,1/2+Y ,3/4-X \t(20) 3/4-X ,3/4-Z ,1/2+Y \t(21) 1/2+X ,3/4-Z ,3/4-Y \t', ' (22) 3/4-Y ,1/2+X ,3/4-Z \t(23) 3/4-Z ,3/4-Y ,1/2+X \t(24) 1/2+Y ,3/4-X ,3/4-Z \t'] ,
     4576"p n a 21": [' Space Group: P n a 21', ' The lattice is noncentrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 4', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,1/2+Y ,1/2+Z \t', ' ( 3) 1/2+X ,1/2-Y ,    Z \t( 4)    -X ,   -Y ,1/2+Z \t'] ,
     4577"p -4 n 2": [' Space Group: P -4 n 2', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Y ,   -X ,   -Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)    -Y ,    X ,   -Z \t', ' ( 5) 1/2-X ,1/2+Y ,1/2+Z \t( 6) 1/2+Y ,1/2+X ,1/2-Z \t', ' ( 7) 1/2+X ,1/2-Y ,1/2+Z \t( 8) 1/2-Y ,1/2-X ,1/2-Z \t'] ,
     4578"p 42/n n m": [' Space Group: P 42/n n m', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-Y ,    X ,1/2+Z \t', ' ( 3) 1/2-X ,1/2-Y ,    Z \t( 4)     Y ,1/2-X ,1/2+Z \t', ' ( 5)    -X ,1/2+Y ,1/2+Z \t( 6)    -Y ,   -X ,    Z \t', ' ( 7) 1/2+X ,   -Y ,1/2+Z \t( 8) 1/2+Y ,1/2+X ,    Z \t'] ,
     4579"f d -3 m": [' Space Group: F d -3 m', ' The lattice is centrosymmetric F-centered cubic', ' Multiplicity of a general site is 192', ' The Laue symmetry is m3m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/4+X ,1/4+Y ,   -Z \t( 5)    -Z ,1/4+X ,1/4+Y \t( 6) 1/4+Y ,   -Z ,1/4+X \t', ' ( 7) 1/4-Z ,1/2+X ,3/4-Y \t( 8) 3/4-Y ,1/4-Z ,1/2+X \t( 9) 1/2+Y ,1/4-Z ,3/4-X \t', ' (10) 3/4-X ,1/2+Y ,1/4-Z \t(11) 1/4-Z ,3/4-X ,1/2+Y \t(12) 1/2+X ,3/4-Y ,1/4-Z \t', ' (13)     Y ,    X ,    Z \t(14)     Z ,    Y ,    X \t(15)     X ,    Z ,    Y \t', ' (16) 1/4+Y ,1/4+X ,   -Z \t(17)    -Z ,1/4+Y ,1/4+X \t(18) 1/4+X ,   -Z ,1/4+Y \t', ' (19) 1/4-Z ,1/2+Y ,3/4-X \t(20) 3/4-X ,1/4-Z ,1/2+Y \t(21) 1/2+X ,1/4-Z ,3/4-Y \t', ' (22) 3/4-Y ,1/2+X ,1/4-Z \t(23) 1/4-Z ,3/4-Y ,1/2+X \t(24) 1/2+Y ,3/4-X ,1/4-Z \t'] ,
     4580"r -3 c r": [' Space Group: R -3 c r', ' The lattice is centrosymmetric primitive rhombohedral', ' Multiplicity of a general site is 12', ' The Laue symmetry is 3mR', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/2+Y ,1/2+X ,1/2+Z \t( 5) 1/2+Z ,1/2+Y ,1/2+X \t( 6) 1/2+X ,1/2+Z ,1/2+Y \t'] ,
     4581"p 63 m c": [' Space Group: P 63 m c', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,1/2+Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)    -X ,   -Y ,1/2+Z \t( 5)    Y-X,   -X ,    Z \t( 6)     Y ,   Y-X,1/2+Z \t', ' ( 7)    Y-X,    Y ,    Z \t( 8)    -X ,   Y-X,1/2+Z \t( 9)    -Y ,   -X ,    Z \t', ' (10)    X-Y,   -Y ,1/2+Z \t(11)     X ,   X-Y,    Z \t(12)     Y ,    X ,1/2+Z \t'] ,
     4582"p 4/m b m": [' Space Group: P 4/m b m', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t', ' ( 5) 1/2-X ,1/2+Y ,    Z \t( 6) 1/2-Y ,1/2-X ,    Z \t', ' ( 7) 1/2+X ,1/2-Y ,    Z \t( 8) 1/2+Y ,1/2+X ,    Z \t'] ,
     4583"p 2 2 2": [' Space Group: P 2 2 2', ' The lattice is noncentrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 4', ' The Laue symmetry is mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     X ,   -Y ,   -Z \t', ' ( 3)    -X ,    Y ,   -Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4584"p 63 2 2": [' Space Group: P 63 2 2', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,1/2+Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)    -X ,   -Y ,1/2+Z \t( 5)    Y-X,   -X ,    Z \t( 6)     Y ,   Y-X,1/2+Z \t', ' ( 7)    X-Y,   -Y ,   -Z \t( 8)     X ,   X-Y,1/2-Z \t( 9)     Y ,    X ,   -Z \t', ' (10)    Y-X,    Y ,1/2-Z \t(11)    -X ,   Y-X,   -Z \t(12)    -Y ,   -X ,1/2-Z \t'] ,
     4585"p 6/m m m": [' Space Group: P 6/m m m', ' The lattice is centrosymmetric primitive hexagonal', ' Multiplicity of a general site is 24', ' The Laue symmetry is 6/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,    Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)    -X ,   -Y ,    Z \t( 5)    Y-X,   -X ,    Z \t( 6)     Y ,   Y-X,    Z \t', ' ( 7)    Y-X,    Y ,    Z \t( 8)    -X ,   Y-X,    Z \t( 9)    -Y ,   -X ,    Z \t', ' (10)    X-Y,   -Y ,    Z \t(11)     X ,   X-Y,    Z \t(12)     Y ,    X ,    Z \t'] ,
     4586"p c c n": [' Space Group: P c c n', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,    Y ,1/2+Z \t', ' ( 3)     X ,1/2-Y ,1/2+Z \t( 4) 1/2-X ,1/2-Y ,    Z \t'] ,
     4587"p c c m": [' Space Group: P c c m', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,1/2+Z \t', ' ( 3)     X ,   -Y ,1/2+Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4588"p m n a": [' Space Group: P m n a', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3) 1/2+X ,   -Y ,1/2+Z \t( 4) 1/2-X ,   -Y ,1/2+Z \t'] ,
     4589"f 41 3 2": [' Space Group: F 41 3 2', ' The lattice is noncentrosymmetric F-centered cubic', ' Multiplicity of a general site is 96', ' The Laue symmetry is m3m', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 3/4-Y ,3/4+X ,1/4+Z \t( 5) 1/4+Z ,3/4-Y ,3/4+X \t( 6) 3/4+X ,1/4+Z ,3/4-Y \t', ' ( 7)    -X ,1/2-Y ,1/2+Z \t( 8) 1/2-Z ,1/2+X ,   -Y \t( 9)    -Y ,1/2-Z ,1/2+X \t', ' (10) 1/2+X ,   -Y ,1/2-Z \t(11) 1/2+Z ,   -X ,1/2-Y \t(12) 1/2-Y ,1/2+Z ,   -X \t', ' (13) 1/4+Y ,3/4-X ,3/4+Z \t(14) 3/4+Z ,1/4+Y ,3/4-X \t(15) 3/4-X ,3/4+Z ,1/4+Y \t', ' (16) 1/4-X ,1/4-Z ,1/4-Y \t(17) 1/4-Y ,1/4-X ,1/4-Z \t(18) 1/4-Z ,1/4-Y ,1/4-X \t', ' (19) 1/2+Y ,   -Z ,1/2-X \t(20) 3/4+Y ,1/4+X ,3/4-Z \t(21) 3/4-Z ,3/4+Y ,1/4+X \t', ' (22) 1/4+X ,3/4-Z ,3/4+Y \t(23) 1/2-X ,1/2+Y ,   -Z \t(24)    -Z ,1/2-X ,1/2+Y \t'] ,
     4590"r -3 r": [' Space Group: R -3 r', ' The lattice is centrosymmetric primitive rhombohedral', ' Multiplicity of a general site is 6', ' The Laue symmetry is 3R', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t'] ,
     4591"p 1 1 2/m": [' Space Group: P 1 1 2/m', ' The lattice is centrosymmetric primitive monoclinic', ' Multiplicity of a general site is 4', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is c', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,   -Y ,    Z \t'] ,
     4592"p 64": [' Space Group: P 64', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 6/m', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,2/3+Z \t( 3)    -Y ,   X-Y,1/3+Z \t', ' ( 4)    -X ,   -Y ,    Z \t( 5)    Y-X,   -X ,2/3+Z \t( 6)     Y ,   Y-X,1/3+Z \t'] ,
     4593"p c c a": [' Space Group: P c c a', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,    Y ,1/2+Z \t', ' ( 3)     X ,   -Y ,1/2+Z \t( 4) 1/2-X ,   -Y ,    Z \t'] ,
     4594"f m -3": [' Space Group: F m -3', ' The lattice is centrosymmetric F-centered cubic', ' Multiplicity of a general site is 96', ' The Laue symmetry is m3', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     X ,    Y ,   -Z \t( 5)    -Z ,    X ,    Y \t( 6)     Y ,   -Z ,    X \t', ' ( 7)    -Z ,    X ,   -Y \t( 8)    -Y ,   -Z ,    X \t( 9)     Y ,   -Z ,   -X \t', ' (10)    -X ,    Y ,   -Z \t(11)    -Z ,   -X ,    Y \t(12)     X ,   -Y ,   -Z \t'] ,
     4595"p -6": [' Space Group: P -6', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 6/m', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    Y-X,   -X ,   -Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)     X ,    Y ,   -Z \t( 5)    Y-X,   -X ,    Z \t( 6)    -Y ,   X-Y,   -Z \t'] ,
     4596"i m m m": [' Space Group: I m m m', ' The lattice is centrosymmetric I-centered orthorhombic', ' Multiplicity of a general site is 16', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3)     X ,   -Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4597"p -4 2 m": [' Space Group: P -4 2 m', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Y ,   -X ,   -Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)    -Y ,    X ,   -Z \t', ' ( 5)    -X ,    Y ,   -Z \t( 6)     Y ,    X ,    Z \t', ' ( 7)     X ,   -Y ,   -Z \t( 8)    -Y ,   -X ,    Z \t'] ,
     4598"p 21 3": [' Space Group: P 21 3', ' The lattice is noncentrosymmetric primitive cubic', ' Multiplicity of a general site is 12', ' The Laue symmetry is m3', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/2+X ,1/2-Y ,   -Z \t( 5)    -Z ,1/2+X ,1/2-Y \t( 6) 1/2-Y ,   -Z ,1/2+X \t', ' ( 7) 1/2-Z ,   -X ,1/2+Y \t( 8) 1/2+Y ,1/2-Z ,   -X \t( 9)    -Y ,1/2+Z ,1/2-X \t', ' (10) 1/2-X ,   -Y ,1/2+Z \t(11) 1/2+Z ,1/2-X ,   -Y \t(12)    -X ,1/2+Y ,1/2-Z \t'] ,
     4599"p 4 m m": [' Space Group: P 4 m m', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t', ' ( 5)    -X ,    Y ,    Z \t( 6)    -Y ,   -X ,    Z \t', ' ( 7)     X ,   -Y ,    Z \t( 8)     Y ,    X ,    Z \t'] ,
     4600"p -4 m 2": [' Space Group: P -4 m 2', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Y ,   -X ,   -Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)    -Y ,    X ,   -Z \t', ' ( 5)    -X ,    Y ,    Z \t( 6)     Y ,    X ,   -Z \t', ' ( 7)     X ,   -Y ,    Z \t( 8)    -Y ,   -X ,   -Z \t'] ,
     4601"c 2/c": [' Space Group: C 2/c', ' The lattice is centrosymmetric C-centered monoclinic', ' Multiplicity of a general site is 8', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,1/2-Z \t'] ,
     4602"p 42 3 2": [' Space Group: P 42 3 2', ' The lattice is noncentrosymmetric primitive cubic', ' Multiplicity of a general site is 24', ' The Laue symmetry is m3m', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/2-Y ,1/2+X ,1/2+Z \t( 5) 1/2+Z ,1/2-Y ,1/2+X \t( 6) 1/2+X ,1/2+Z ,1/2-Y \t', ' ( 7)    -X ,   -Y ,    Z \t( 8)    -Z ,    X ,   -Y \t( 9)    -Y ,   -Z ,    X \t', ' (10)     X ,   -Y ,   -Z \t(11)     Z ,   -X ,   -Y \t(12)    -Y ,    Z ,   -X \t', ' (13) 1/2+Y ,1/2-X ,1/2+Z \t(14) 1/2+Z ,1/2+Y ,1/2-X \t(15) 1/2-X ,1/2+Z ,1/2+Y \t', ' (16) 1/2-X ,1/2-Z ,1/2-Y \t(17) 1/2-Y ,1/2-X ,1/2-Z \t(18) 1/2-Z ,1/2-Y ,1/2-X \t', ' (19)     Y ,   -Z ,   -X \t(20) 1/2+Y ,1/2+X ,1/2-Z \t(21) 1/2-Z ,1/2+Y ,1/2+X \t', ' (22) 1/2+X ,1/2-Z ,1/2+Y \t(23)    -X ,    Y ,   -Z \t(24)    -Z ,   -X ,    Y \t'] ,
     4603"p 6/m c c": [' Space Group: P 6/m c c', ' The lattice is centrosymmetric primitive hexagonal', ' Multiplicity of a general site is 24', ' The Laue symmetry is 6/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,    Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)    -X ,   -Y ,    Z \t( 5)    Y-X,   -X ,    Z \t( 6)     Y ,   Y-X,    Z \t', ' ( 7)    Y-X,    Y ,1/2+Z \t( 8)    -X ,   Y-X,1/2+Z \t( 9)    -Y ,   -X ,1/2+Z \t', ' (10)    X-Y,   -Y ,1/2+Z \t(11)     X ,   X-Y,1/2+Z \t(12)     Y ,    X ,1/2+Z \t'] ,
     4604"f m 3": [' Space Group: F m 3', ' The lattice is centrosymmetric F-centered cubic', ' Multiplicity of a general site is 96', ' The Laue symmetry is m3', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     X ,    Y ,   -Z \t( 5)    -Z ,    X ,    Y \t( 6)     Y ,   -Z ,    X \t', ' ( 7)    -Z ,    X ,   -Y \t( 8)    -Y ,   -Z ,    X \t( 9)     Y ,   -Z ,   -X \t', ' (10)    -X ,    Y ,   -Z \t(11)    -Z ,   -X ,    Y \t(12)     X ,   -Y ,   -Z \t'] ,
     4605"p n n a": [' Space Group: P n n a', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,1/2+Y ,1/2+Z \t', ' ( 3) 1/2+X ,1/2-Y ,1/2+Z \t( 4) 1/2-X ,   -Y ,    Z \t'] ,
     4606"i -4 3 d": [' Space Group: I -4 3 d', ' The lattice is noncentrosymmetric I-centered cubic', ' Multiplicity of a general site is 48', ' The Laue symmetry is m3m', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 3/4+Y ,1/4-X ,3/4-Z \t( 5) 3/4-Z ,3/4+Y ,1/4-X \t( 6) 1/4-X ,3/4-Z ,3/4+Y \t', ' ( 7)    -X ,1/2-Y ,    Z \t( 8) 1/2-Z ,    X ,   -Y \t( 9)    -Y ,1/2-Z ,    X \t', ' (10)     X ,   -Y ,1/2-Z \t(11)     Z ,   -X ,1/2-Y \t(12) 1/2-Y ,    Z ,   -X \t', ' (13) 1/4-Y ,1/4+X ,3/4-Z \t(14) 3/4-Z ,1/4-Y ,1/4+X \t(15) 1/4+X ,3/4-Z ,1/4-Y \t', ' (16) 3/4+X ,3/4+Z ,3/4+Y \t(17) 3/4+Y ,3/4+X ,3/4+Z \t(18) 3/4+Z ,3/4+Y ,3/4+X \t', ' (19) 1/2+Y ,1/2-Z ,   -X \t(20) 3/4-Y ,1/4-X ,1/4+Z \t(21) 1/4+Z ,3/4-Y ,1/4-X \t', ' (22) 1/4-X ,1/4+Z ,3/4-Y \t(23)    -X ,1/2+Y ,1/2-Z \t(24) 1/2-Z ,   -X ,1/2+Y \t'] ,
     4607"p n n n": [' Space Group: P n n n', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,1/2+Y ,1/2+Z \t', ' ( 3) 1/2+X ,   -Y ,1/2+Z \t( 4) 1/2-X ,1/2-Y ,    Z \t'] ,
     4608"p n n m": [' Space Group: P n n m', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,1/2+Y ,1/2+Z \t', ' ( 3) 1/2+X ,1/2-Y ,1/2+Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4609"p -4": [' Space Group: P -4', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 4', ' The Laue symmetry is 4/m', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Y ,   -X ,   -Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)    -Y ,    X ,   -Z \t'] ,
     4610"i -4 3 m": [' Space Group: I -4 3 m', ' The lattice is noncentrosymmetric I-centered cubic', ' Multiplicity of a general site is 48', ' The Laue symmetry is m3m', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     Y ,   -X ,   -Z \t( 5)    -Z ,    Y ,   -X \t( 6)    -X ,   -Z ,    Y \t', ' ( 7)    -X ,   -Y ,    Z \t( 8)    -Z ,    X ,   -Y \t( 9)    -Y ,   -Z ,    X \t', ' (10)     X ,   -Y ,   -Z \t(11)     Z ,   -X ,   -Y \t(12)    -Y ,    Z ,   -X \t', ' (13)    -Y ,    X ,   -Z \t(14)    -Z ,   -Y ,    X \t(15)     X ,   -Z ,   -Y \t', ' (16)     X ,    Z ,    Y \t(17)     Y ,    X ,    Z \t(18)     Z ,    Y ,    X \t', ' (19)     Y ,   -Z ,   -X \t(20)    -Y ,   -X ,    Z \t(21)     Z ,   -Y ,   -X \t', ' (22)    -X ,    Z ,   -Y \t(23)    -X ,    Y ,   -Z \t(24)    -Z ,   -X ,    Y \t'] ,
     4611"p 65": [' Space Group: P 65', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 6/m', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,5/6+Z \t( 3)    -Y ,   X-Y,2/3+Z \t', ' ( 4)    -X ,   -Y ,1/2+Z \t( 5)    Y-X,   -X ,1/3+Z \t( 6)     Y ,   Y-X,1/6+Z \t'] ,
     4612"r 3 r": [' Space Group: R 3 r', ' The lattice is noncentrosymmetric primitive rhombohedral', ' Multiplicity of a general site is 3', ' The Laue symmetry is 3R', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t'] ,
     4613"p 2/m 1 1": [' Space Group: P 2/m 1 1', ' The lattice is centrosymmetric primitive monoclinic', ' Multiplicity of a general site is 4', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is a', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     X ,   -Y ,   -Z \t'] ,
     4614"i 41/a": [' Space Group: I 41/a', ' The lattice is centrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 3/4-Y ,1/4+X ,1/4+Z \t', ' ( 3) 1/2-X ,   -Y ,1/2+Z \t( 4) 3/4+Y ,3/4-X ,3/4+Z \t'] ,
     4615"p 63 c m": [' Space Group: P 63 c m', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,1/2+Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)    -X ,   -Y ,1/2+Z \t( 5)    Y-X,   -X ,    Z \t( 6)     Y ,   Y-X,1/2+Z \t', ' ( 7)    Y-X,    Y ,1/2+Z \t( 8)    -X ,   Y-X,    Z \t( 9)    -Y ,   -X ,1/2+Z \t', ' (10)    X-Y,   -Y ,    Z \t(11)     X ,   X-Y,1/2+Z \t(12)     Y ,    X ,    Z \t'] ,
     4616"c 1 2 1": [' Space Group: C 1 2 1', ' The lattice is noncentrosymmetric C-centered monoclinic', ' Multiplicity of a general site is 4', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The location of the origin is arbitrary in y', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,   -Z \t'] ,
     4617"p b c n": [' Space Group: P b c n', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,1/2+Y ,    Z \t', ' ( 3)     X ,   -Y ,1/2+Z \t( 4) 1/2-X ,1/2-Y ,1/2+Z \t'] ,
     4618"p b c m": [' Space Group: P b c m', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,1/2+Y ,    Z \t', ' ( 3)     X ,1/2-Y ,1/2+Z \t( 4)    -X ,   -Y ,1/2+Z \t'] ,
     4619"a m m 2": [' Space Group: A m m 2', ' The lattice is noncentrosymmetric A-centered orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3)     X ,   -Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4620"i m -3 m": [' Space Group: I m -3 m', ' The lattice is centrosymmetric I-centered cubic', ' Multiplicity of a general site is 96', ' The Laue symmetry is m3m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     X ,    Y ,   -Z \t( 5)    -Z ,    X ,    Y \t( 6)     Y ,   -Z ,    X \t', ' ( 7)    -Z ,    X ,   -Y \t( 8)    -Y ,   -Z ,    X \t( 9)     Y ,   -Z ,   -X \t', ' (10)    -X ,    Y ,   -Z \t(11)    -Z ,   -X ,    Y \t(12)     X ,   -Y ,   -Z \t', ' (13)     Y ,    X ,    Z \t(14)     Z ,    Y ,    X \t(15)     X ,    Z ,    Y \t', ' (16)     Y ,    X ,   -Z \t(17)    -Z ,    Y ,    X \t(18)     X ,   -Z ,    Y \t', ' (19)    -Z ,    Y ,   -X \t(20)    -X ,   -Z ,    Y \t(21)     X ,   -Z ,   -Y \t', ' (22)    -Y ,    X ,   -Z \t(23)    -Z ,   -Y ,    X \t(24)     Y ,   -X ,   -Z \t'] ,
     4621"i 4 m m": [' Space Group: I 4 m m', ' The lattice is noncentrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t', ' ( 5)    -X ,    Y ,    Z \t( 6)    -Y ,   -X ,    Z \t', ' ( 7)     X ,   -Y ,    Z \t( 8)     Y ,    X ,    Z \t'] ,
     4622"p 61 2 2": [' Space Group: P 61 2 2', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,1/6+Z \t( 3)    -Y ,   X-Y,1/3+Z \t', ' ( 4)    -X ,   -Y ,1/2+Z \t( 5)    Y-X,   -X ,2/3+Z \t( 6)     Y ,   Y-X,5/6+Z \t', ' ( 7)    X-Y,   -Y ,   -Z \t( 8)     X ,   X-Y,1/6-Z \t( 9)     Y ,    X ,1/3-Z \t', ' (10)    Y-X,    Y ,1/2-Z \t(11)    -X ,   Y-X,2/3-Z \t(12)    -Y ,   -X ,5/6-Z \t'] ,
     4623"i m m 2": [' Space Group: I m m 2', ' The lattice is noncentrosymmetric I-centered orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3)     X ,   -Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4624"p 42/n c m": [' Space Group: P 42/n c m', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-Y ,    X ,1/2+Z \t', ' ( 3) 1/2-X ,1/2-Y ,    Z \t( 4)     Y ,1/2-X ,1/2+Z \t', ' ( 5) 1/2-X ,    Y ,1/2+Z \t( 6) 1/2-Y ,1/2-X ,    Z \t', ' ( 7)     X ,1/2-Y ,1/2+Z \t( 8)     Y ,    X ,    Z \t'] ,
     4625"p b c a": [' Space Group: P b c a', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,1/2+Y ,    Z \t', ' ( 3)     X ,1/2-Y ,1/2+Z \t( 4) 1/2-X ,   -Y ,1/2+Z \t'] ,
     4626"p 4 21 2": [' Space Group: P 4 21 2', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-Y ,1/2+X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4) 1/2+Y ,1/2-X ,    Z \t', ' ( 5) 1/2-X ,1/2+Y ,   -Z \t( 6)    -Y ,   -X ,   -Z \t', ' ( 7) 1/2+X ,1/2-Y ,   -Z \t( 8)     Y ,    X ,   -Z \t'] ,
     4627"p 4/n n c": [' Space Group: P 4/n n c', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-Y ,    X ,    Z \t', ' ( 3) 1/2-X ,1/2-Y ,    Z \t( 4)     Y ,1/2-X ,    Z \t', ' ( 5)    -X ,1/2+Y ,1/2+Z \t( 6)    -Y ,   -X ,1/2+Z \t', ' ( 7) 1/2+X ,   -Y ,1/2+Z \t( 8) 1/2+Y ,1/2+X ,1/2+Z \t'] ,
     4628"f m -3 m": [' Space Group: F m -3 m', ' The lattice is centrosymmetric F-centered cubic', ' Multiplicity of a general site is 192', ' The Laue symmetry is m3m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     X ,    Y ,   -Z \t( 5)    -Z ,    X ,    Y \t( 6)     Y ,   -Z ,    X \t', ' ( 7)    -Z ,    X ,   -Y \t( 8)    -Y ,   -Z ,    X \t( 9)     Y ,   -Z ,   -X \t', ' (10)    -X ,    Y ,   -Z \t(11)    -Z ,   -X ,    Y \t(12)     X ,   -Y ,   -Z \t', ' (13)     Y ,    X ,    Z \t(14)     Z ,    Y ,    X \t(15)     X ,    Z ,    Y \t', ' (16)     Y ,    X ,   -Z \t(17)    -Z ,    Y ,    X \t(18)     X ,   -Z ,    Y \t', ' (19)    -Z ,    Y ,   -X \t(20)    -X ,   -Z ,    Y \t(21)     X ,   -Z ,   -Y \t', ' (22)    -Y ,    X ,   -Z \t(23)    -Z ,   -Y ,    X \t(24)     Y ,   -X ,   -Z \t'] ,
     4629"p 4/m m m": [' Space Group: P 4/m m m', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t', ' ( 5)    -X ,    Y ,    Z \t( 6)    -Y ,   -X ,    Z \t', ' ( 7)     X ,   -Y ,    Z \t( 8)     Y ,    X ,    Z \t'] ,
     4630"f m -3 c": [' Space Group: F m -3 c', ' The lattice is centrosymmetric F-centered cubic', ' Multiplicity of a general site is 192', ' The Laue symmetry is m3m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     X ,    Y ,   -Z \t( 5)    -Z ,    X ,    Y \t( 6)     Y ,   -Z ,    X \t', ' ( 7)    -Z ,    X ,   -Y \t( 8)    -Y ,   -Z ,    X \t( 9)     Y ,   -Z ,   -X \t', ' (10)    -X ,    Y ,   -Z \t(11)    -Z ,   -X ,    Y \t(12)     X ,   -Y ,   -Z \t', ' (13)     Y ,    X ,1/2+Z \t(14) 1/2+Z ,    Y ,    X \t(15)     X ,1/2+Z ,    Y \t', ' (16)     Y ,    X ,1/2-Z \t(17) 1/2-Z ,    Y ,    X \t(18)     X ,1/2-Z ,    Y \t', ' (19) 1/2-Z ,    Y ,   -X \t(20)    -X ,1/2-Z ,    Y \t(21)     X ,1/2-Z ,   -Y \t', ' (22)    -Y ,    X ,1/2-Z \t(23) 1/2-Z ,   -Y ,    X \t(24)     Y ,   -X ,1/2-Z \t'] ,
     4631"p n -3": [' Space Group: P n -3', ' The lattice is centrosymmetric primitive cubic', ' Multiplicity of a general site is 24', ' The Laue symmetry is m3', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/2+X ,1/2+Y ,   -Z \t( 5)    -Z ,1/2+X ,1/2+Y \t( 6) 1/2+Y ,   -Z ,1/2+X \t', ' ( 7) 1/2-Z ,    X ,1/2-Y \t( 8) 1/2-Y ,1/2-Z ,    X \t( 9)     Y ,1/2-Z ,1/2-X \t', ' (10) 1/2-X ,    Y ,1/2-Z \t(11) 1/2-Z ,1/2-X ,    Y \t(12)     X ,1/2-Y ,1/2-Z \t'] ,
     4632"p c c 2": [' Space Group: P c c 2', ' The lattice is noncentrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 4', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,1/2+Z \t', ' ( 3)     X ,   -Y ,1/2+Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4633"i 41 3 2": [' Space Group: I 41 3 2', ' The lattice is noncentrosymmetric I-centered cubic', ' Multiplicity of a general site is 48', ' The Laue symmetry is m3m', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/4-Y ,3/4+X ,1/4+Z \t( 5) 1/4+Z ,1/4-Y ,3/4+X \t( 6) 3/4+X ,1/4+Z ,1/4-Y \t', ' ( 7) 1/2-X ,   -Y ,1/2+Z \t( 8)    -Z ,1/2+X ,1/2-Y \t( 9) 1/2-Y ,   -Z ,1/2+X \t', ' (10) 1/2+X ,1/2-Y ,   -Z \t(11) 1/2+Z ,1/2-X ,   -Y \t(12)    -Y ,1/2+Z ,1/2-X \t', ' (13) 1/4+Y ,1/4-X ,3/4+Z \t(14) 3/4+Z ,1/4+Y ,1/4-X \t(15) 1/4-X ,3/4+Z ,1/4+Y \t', ' (16) 3/4-X ,3/4-Z ,3/4-Y \t(17) 3/4-Y ,3/4-X ,3/4-Z \t(18) 3/4-Z ,3/4-Y ,3/4-X \t', ' (19) 1/2+Y ,1/2-Z ,   -X \t(20) 3/4+Y ,1/4+X ,1/4-Z \t(21) 1/4-Z ,3/4+Y ,1/4+X \t', ' (22) 1/4+X ,1/4-Z ,3/4+Y \t(23)    -X ,1/2+Y ,1/2-Z \t(24) 1/2-Z ,   -X ,1/2+Y \t'] ,
     4634"p 42 m c": [' Space Group: P 42 m c', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,1/2+Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,1/2+Z \t', ' ( 5)    -X ,    Y ,    Z \t( 6)    -Y ,   -X ,1/2+Z \t', ' ( 7)     X ,   -Y ,    Z \t( 8)     Y ,    X ,1/2+Z \t'] ,
     4635"p 4 c c": [' Space Group: P 4 c c', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t', ' ( 5)    -X ,    Y ,1/2+Z \t( 6)    -Y ,   -X ,1/2+Z \t', ' ( 7)     X ,   -Y ,1/2+Z \t( 8)     Y ,    X ,1/2+Z \t'] ,
     4636"p m -3 m": [' Space Group: P m -3 m', ' The lattice is centrosymmetric primitive cubic', ' Multiplicity of a general site is 48', ' The Laue symmetry is m3m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     X ,    Y ,   -Z \t( 5)    -Z ,    X ,    Y \t( 6)     Y ,   -Z ,    X \t', ' ( 7)    -Z ,    X ,   -Y \t( 8)    -Y ,   -Z ,    X \t( 9)     Y ,   -Z ,   -X \t', ' (10)    -X ,    Y ,   -Z \t(11)    -Z ,   -X ,    Y \t(12)     X ,   -Y ,   -Z \t', ' (13)     Y ,    X ,    Z \t(14)     Z ,    Y ,    X \t(15)     X ,    Z ,    Y \t', ' (16)     Y ,    X ,   -Z \t(17)    -Z ,    Y ,    X \t(18)     X ,   -Z ,    Y \t', ' (19)    -Z ,    Y ,   -X \t(20)    -X ,   -Z ,    Y \t(21)     X ,   -Z ,   -Y \t', ' (22)    -Y ,    X ,   -Z \t(23)    -Z ,   -Y ,    X \t(24)     Y ,   -X ,   -Z \t'] ,
     4637"p 32 1 2": [' Space Group: P 32 1 2', ' The lattice is noncentrosymmetric primitive trigonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 31m', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,2/3+Z \t( 3)    Y-X,   -X ,1/3+Z \t', ' ( 4)     X ,   X-Y,   -Z \t( 5)    Y-X,    Y ,2/3-Z \t( 6)    -Y ,   -X ,1/3-Z \t'] ,
     4638"p 32 1 1": [' Space Group: P 32 1 1', ' The lattice is noncentrosymmetric primitive trigonal', ' Multiplicity of a general site is 3', ' The Laue symmetry is 3', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,2/3+Z \t( 3)    Y-X,   -X ,1/3+Z \t'] ,
     4639"r -3 m r": [' Space Group: R -3 m r', ' The lattice is centrosymmetric primitive rhombohedral', ' Multiplicity of a general site is 12', ' The Laue symmetry is 3mR', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     Y ,    X ,    Z \t( 5)     Z ,    Y ,    X \t( 6)     X ,    Z ,    Y \t'] ,
     4640"p 3 c 1": [' Space Group: P 3 c 1', ' The lattice is noncentrosymmetric primitive trigonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 3m1', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)    Y-X,    Y ,1/2+Z \t( 5)    -Y ,   -X ,1/2+Z \t( 6)     X ,   X-Y,1/2+Z \t'] ,
     4641"p 2 2 21": [' Space Group: P 2 2 21', ' The lattice is noncentrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 4', ' The Laue symmetry is mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     X ,   -Y ,   -Z \t', ' ( 3)    -X ,    Y ,1/2-Z \t( 4)    -X ,   -Y ,1/2+Z \t'] ,
     4642"p 63": [' Space Group: P 63', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 6/m', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,1/2+Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)    -X ,   -Y ,1/2+Z \t( 5)    Y-X,   -X ,    Z \t( 6)     Y ,   Y-X,1/2+Z \t'] ,
     4643"p m 3": [' Space Group: P m 3', ' The lattice is centrosymmetric primitive cubic', ' Multiplicity of a general site is 24', ' The Laue symmetry is m3', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     X ,    Y ,   -Z \t( 5)    -Z ,    X ,    Y \t( 6)     Y ,   -Z ,    X \t', ' ( 7)    -Z ,    X ,   -Y \t( 8)    -Y ,   -Z ,    X \t( 9)     Y ,   -Z ,   -X \t', ' (10)    -X ,    Y ,   -Z \t(11)    -Z ,   -X ,    Y \t(12)     X ,   -Y ,   -Z \t'] ,
     4644"p 42/m": [' Space Group: P 42/m', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,1/2+Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,1/2+Z \t'] ,
     4645"p m c 21": [' Space Group: P m c 21', ' The lattice is noncentrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 4', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,    Z \t', ' ( 3)     X ,   -Y ,1/2+Z \t( 4)    -X ,   -Y ,1/2+Z \t'] ,
     4646"p 42/n": [' Space Group: P 42/n', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,1/2+X ,1/2+Z \t', ' ( 3) 1/2-X ,1/2-Y ,    Z \t( 4) 1/2+Y ,   -X ,1/2+Z \t'] ,
     4647"a m a 2": [' Space Group: A m a 2', ' The lattice is noncentrosymmetric A-centered orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,    Y ,    Z \t', ' ( 3) 1/2+X ,   -Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4648"p 6/m": [' Space Group: P 6/m', ' The lattice is centrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,    Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)    -X ,   -Y ,    Z \t( 5)    Y-X,   -X ,    Z \t( 6)     Y ,   Y-X,    Z \t'] ,
     4649"p -6 c 2": [' Space Group: P -6 c 2', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    Y-X,   -X ,1/2-Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)     X ,    Y ,1/2-Z \t( 5)    Y-X,   -X ,    Z \t( 6)    -Y ,   X-Y,1/2-Z \t', ' ( 7)    Y-X,    Y ,1/2+Z \t( 8)     X ,   X-Y,   -Z \t( 9)    -Y ,   -X ,1/2+Z \t', ' (10)    Y-X,    Y ,   -Z \t(11)     X ,   X-Y,1/2+Z \t(12)    -Y ,   -X ,   -Z \t'] ,
     4650"i -4 c 2": [' Space Group: I -4 c 2', ' The lattice is noncentrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Y ,   -X ,   -Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)    -Y ,    X ,   -Z \t', ' ( 5)    -X ,    Y ,1/2+Z \t( 6)     Y ,    X ,1/2-Z \t', ' ( 7)     X ,   -Y ,1/2+Z \t( 8)    -Y ,   -X ,1/2-Z \t'] ,
     4651"F -1": [' Space Group: F -1', ' The lattice is centrosymmetric F-centered triclinic', ' Multiplicity of a general site is 8', ' The Laue symmetry is -1', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t'] ,
     4652"p 3 1 m": [' Space Group: P 3 1 m', ' The lattice is noncentrosymmetric primitive trigonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 31m', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)     Y ,    X ,    Z \t( 5)    -X ,   Y-X,    Z \t( 6)    X-Y,   -Y ,    Z \t'] ,
     4653"c c c 2": [' Space Group: C c c 2', ' The lattice is noncentrosymmetric C-centered orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,1/2+Z \t', ' ( 3)     X ,   -Y ,1/2+Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4654"i m 3": [' Space Group: I m 3', ' The lattice is centrosymmetric I-centered cubic', ' Multiplicity of a general site is 48', ' The Laue symmetry is m3', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     X ,    Y ,   -Z \t( 5)    -Z ,    X ,    Y \t( 6)     Y ,   -Z ,    X \t', ' ( 7)    -Z ,    X ,   -Y \t( 8)    -Y ,   -Z ,    X \t( 9)     Y ,   -Z ,   -X \t', ' (10)    -X ,    Y ,   -Z \t(11)    -Z ,   -X ,    Y \t(12)     X ,   -Y ,   -Z \t'] ,
     4655"p -4 3 m": [' Space Group: P -4 3 m', ' The lattice is noncentrosymmetric primitive cubic', ' Multiplicity of a general site is 24', ' The Laue symmetry is m3m', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     Y ,   -X ,   -Z \t( 5)    -Z ,    Y ,   -X \t( 6)    -X ,   -Z ,    Y \t', ' ( 7)    -X ,   -Y ,    Z \t( 8)    -Z ,    X ,   -Y \t( 9)    -Y ,   -Z ,    X \t', ' (10)     X ,   -Y ,   -Z \t(11)     Z ,   -X ,   -Y \t(12)    -Y ,    Z ,   -X \t', ' (13)    -Y ,    X ,   -Z \t(14)    -Z ,   -Y ,    X \t(15)     X ,   -Z ,   -Y \t', ' (16)     X ,    Z ,    Y \t(17)     Y ,    X ,    Z \t(18)     Z ,    Y ,    X \t', ' (19)     Y ,   -Z ,   -X \t(20)    -Y ,   -X ,    Z \t(21)     Z ,   -Y ,   -X \t', ' (22)    -X ,    Z ,   -Y \t(23)    -X ,    Y ,   -Z \t(24)    -Z ,   -X ,    Y \t'] ,
     4656"p -4 3 n": [' Space Group: P -4 3 n', ' The lattice is noncentrosymmetric primitive cubic', ' Multiplicity of a general site is 24', ' The Laue symmetry is m3m', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/2+Y ,1/2-X ,1/2-Z \t( 5) 1/2-Z ,1/2+Y ,1/2-X \t( 6) 1/2-X ,1/2-Z ,1/2+Y \t', ' ( 7)    -X ,   -Y ,    Z \t( 8)    -Z ,    X ,   -Y \t( 9)    -Y ,   -Z ,    X \t', ' (10)     X ,   -Y ,   -Z \t(11)     Z ,   -X ,   -Y \t(12)    -Y ,    Z ,   -X \t', ' (13) 1/2-Y ,1/2+X ,1/2-Z \t(14) 1/2-Z ,1/2-Y ,1/2+X \t(15) 1/2+X ,1/2-Z ,1/2-Y \t', ' (16) 1/2+X ,1/2+Z ,1/2+Y \t(17) 1/2+Y ,1/2+X ,1/2+Z \t(18) 1/2+Z ,1/2+Y ,1/2+X \t', ' (19)     Y ,   -Z ,   -X \t(20) 1/2-Y ,1/2-X ,1/2+Z \t(21) 1/2+Z ,1/2-Y ,1/2-X \t', ' (22) 1/2-X ,1/2+Z ,1/2-Y \t(23)    -X ,    Y ,   -Z \t(24)    -Z ,   -X ,    Y \t'] ,
     4657"p -3 1 c": [' Space Group: P -3 1 c', ' The lattice is centrosymmetric primitive trigonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 31m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)     Y ,    X ,1/2+Z \t( 5)    -X ,   Y-X,1/2+Z \t( 6)    X-Y,   -Y ,1/2+Z \t'] ,
     4658"r 3 m": [' Space Group: R 3 m', ' The lattice is noncentrosymmetric R-centered trigonal', ' Multiplicity of a general site is 18', ' The Laue symmetry is 3m1', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)    Y-X,    Y ,    Z \t( 5)    -Y ,   -X ,    Z \t( 6)     X ,   X-Y,    Z \t'] ,
     4659"p 21": [' Space Group: P 21', ' The lattice is noncentrosymmetric primitive monoclinic', ' Multiplicity of a general site is 2', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The location of the origin is arbitrary in y', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,1/2+Y ,   -Z \t'] ,
     4660"r -3": [' Space Group: R -3', ' The lattice is centrosymmetric R-centered trigonal', ' Multiplicity of a general site is 18', ' The Laue symmetry is 3', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t'] ,
     4661"c m": [' Space Group: C m', ' The lattice is noncentrosymmetric C-centered monoclinic', ' Multiplicity of a general site is 4', ' The Laue symmetry is 2/m', ' The unique monoclinic axis is b', ' The location of the origin is arbitrary in x z', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     X ,   -Y ,    Z \t'] ,
     4662"p 32 2 1": [' Space Group: P 32 2 1', ' The lattice is noncentrosymmetric primitive trigonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 3m1', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,2/3+Z \t( 3)    Y-X,   -X ,1/3+Z \t', ' ( 4)     Y ,    X ,   -Z \t( 5)    -X ,   Y-X,2/3-Z \t( 6)    X-Y,   -Y ,1/3-Z \t'] ,
     4663"i 21 21 21": [' Space Group: I 21 21 21', ' The lattice is noncentrosymmetric I-centered orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2+X ,1/2-Y ,   -Z \t', ' ( 3)    -X ,1/2+Y ,1/2-Z \t( 4) 1/2-X ,   -Y ,1/2+Z \t'] ,
     4664"p 42 2 2": [' Space Group: P 42 2 2', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,1/2+Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,1/2+Z \t', ' ( 5)    -X ,    Y ,   -Z \t( 6)    -Y ,   -X ,1/2-Z \t', ' ( 7)     X ,   -Y ,   -Z \t( 8)     Y ,    X ,1/2-Z \t'] ,
     4665"i -4 2 m": [' Space Group: I -4 2 m', ' The lattice is noncentrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Y ,   -X ,   -Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)    -Y ,    X ,   -Z \t', ' ( 5)    -X ,    Y ,   -Z \t( 6)     Y ,    X ,    Z \t', ' ( 7)     X ,   -Y ,   -Z \t( 8)    -Y ,   -X ,    Z \t'] ,
     4666"p 65 1 1": [' Space Group: P 65 1 1', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 6/m', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,5/6+Z \t( 3)    -Y ,   X-Y,2/3+Z \t', ' ( 4)    -X ,   -Y ,1/2+Z \t( 5)    Y-X,   -X ,1/3+Z \t( 6)     Y ,   Y-X,1/6+Z \t'] ,
     4667"p 61": [' Space Group: P 61', ' The lattice is noncentrosymmetric primitive hexagonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 6/m', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,1/6+Z \t( 3)    -Y ,   X-Y,1/3+Z \t', ' ( 4)    -X ,   -Y ,1/2+Z \t( 5)    Y-X,   -X ,2/3+Z \t( 6)     Y ,   Y-X,5/6+Z \t'] ,
     4668"i 2 3": [' Space Group: I 2 3', ' The lattice is noncentrosymmetric I-centered cubic', ' Multiplicity of a general site is 24', ' The Laue symmetry is m3', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     X ,   -Y ,   -Z \t( 5)    -Z ,    X ,   -Y \t( 6)    -Y ,   -Z ,    X \t', ' ( 7)    -Z ,   -X ,    Y \t( 8)     Y ,   -Z ,   -X \t( 9)    -Y ,    Z ,   -X \t', ' (10)    -X ,   -Y ,    Z \t(11)     Z ,   -X ,   -Y \t(12)    -X ,    Y ,   -Z \t'] ,
     4669"i -4 2 d": [' Space Group: I -4 2 d', ' The lattice is noncentrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Y ,   -X ,   -Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)    -Y ,    X ,   -Z \t', ' ( 5) 1/2-X ,    Y ,3/4-Z \t( 6)     Y ,1/2+X ,1/4+Z \t', ' ( 7) 1/2+X ,   -Y ,3/4-Z \t( 8)    -Y ,1/2-X ,1/4+Z \t'] ,
     4670"p a 3": [' Space Group: P a 3', ' The lattice is centrosymmetric primitive cubic', ' Multiplicity of a general site is 24', ' The Laue symmetry is m3', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/2+X ,    Y ,1/2-Z \t( 5) 1/2-Z ,1/2+X ,    Y \t( 6)     Y ,1/2-Z ,1/2+X \t', ' ( 7)    -Z ,1/2+X ,1/2-Y \t( 8) 1/2-Y ,   -Z ,1/2+X \t( 9) 1/2+Y ,1/2-Z ,   -X \t', ' (10)    -X ,1/2+Y ,1/2-Z \t(11) 1/2-Z ,   -X ,1/2+Y \t(12) 1/2+X ,1/2-Y ,   -Z \t'] ,
     4671"f 2 3": [' Space Group: F 2 3', ' The lattice is noncentrosymmetric F-centered cubic', ' Multiplicity of a general site is 48', ' The Laue symmetry is m3', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     X ,   -Y ,   -Z \t( 5)    -Z ,    X ,   -Y \t( 6)    -Y ,   -Z ,    X \t', ' ( 7)    -Z ,   -X ,    Y \t( 8)     Y ,   -Z ,   -X \t( 9)    -Y ,    Z ,   -X \t', ' (10)    -X ,   -Y ,    Z \t(11)     Z ,   -X ,   -Y \t(12)    -X ,    Y ,   -Z \t'] ,
     4672"i 4 c m": [' Space Group: I 4 c m', ' The lattice is noncentrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t', ' ( 5)    -X ,    Y ,1/2+Z \t( 6)    -Y ,   -X ,1/2+Z \t', ' ( 7)     X ,   -Y ,1/2+Z \t( 8)     Y ,    X ,1/2+Z \t'] ,
     4673"r 3 c": [' Space Group: R 3 c', ' The lattice is noncentrosymmetric R-centered trigonal', ' Multiplicity of a general site is 18', ' The Laue symmetry is 3m1', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)    Y-X,    Y ,1/2+Z \t( 5)    -Y ,   -X ,1/2+Z \t( 6)     X ,   X-Y,1/2+Z \t'] ,
     4674"p n m a": [' Space Group: P n m a', ' The lattice is centrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,1/2+Y ,1/2+Z \t', ' ( 3)     X ,1/2-Y ,    Z \t( 4) 1/2-X ,   -Y ,1/2+Z \t'] ,
     4675"r 3 c r": [' Space Group: R 3 c r', ' The lattice is noncentrosymmetric primitive rhombohedral', ' Multiplicity of a general site is 6', ' The Laue symmetry is 3mR', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/2+Y ,1/2+X ,1/2+Z \t( 5) 1/2+Z ,1/2+Y ,1/2+X \t( 6) 1/2+X ,1/2+Z ,1/2+Y \t'] ,
     4676"p n c 2": [' Space Group: P n c 2', ' The lattice is noncentrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 4', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,1/2+Y ,1/2+Z \t', ' ( 3)     X ,1/2-Y ,1/2+Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4677"c 2 2 21": [' Space Group: C 2 2 21', ' The lattice is noncentrosymmetric C-centered orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     X ,   -Y ,   -Z \t', ' ( 3)    -X ,    Y ,1/2-Z \t( 4)    -X ,   -Y ,1/2+Z \t'] ,
     4678"r 3 m r": [' Space Group: R 3 m r', ' The lattice is noncentrosymmetric primitive rhombohedral', ' Multiplicity of a general site is 6', ' The Laue symmetry is 3mR', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4)     Y ,    X ,    Z \t( 5)     Z ,    Y ,    X \t( 6)     X ,    Z ,    Y \t'] ,
     4679"p 43 2 2": [' Space Group: P 43 2 2', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,3/4+Z \t', ' ( 3)    -X ,   -Y ,1/2+Z \t( 4)     Y ,   -X ,1/4+Z \t', ' ( 5)    -X ,    Y ,   -Z \t( 6)    -Y ,   -X ,3/4-Z \t', ' ( 7)     X ,   -Y ,1/2-Z \t( 8)     Y ,    X ,1/4-Z \t'] ,
     4680"r 3 2": [' Space Group: R 3 2', ' The lattice is noncentrosymmetric R-centered trigonal', ' Multiplicity of a general site is 18', ' The Laue symmetry is 3m1', '\n The equivalent positions are:', '\n (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)     Y ,    X ,   -Z \t( 5)    -X ,   Y-X,   -Z \t( 6)    X-Y,   -Y ,   -Z \t'] ,
     4681"p m a 2": [' Space Group: P m a 2', ' The lattice is noncentrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 4', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,    Y ,    Z \t', ' ( 3) 1/2+X ,   -Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4682"i 4/m m m": [' Space Group: I 4/m m m', ' The lattice is centrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 32', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,    Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,    Z \t', ' ( 5)    -X ,    Y ,    Z \t( 6)    -Y ,   -X ,    Z \t', ' ( 7)     X ,   -Y ,    Z \t( 8)     Y ,    X ,    Z \t'] ,
     4683"c c c a": [' Space Group: C c c a', ' The lattice is centrosymmetric C-centered orthorhombic', ' Multiplicity of a general site is 16', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-X ,    Y ,1/2+Z \t', ' ( 3)     X ,   -Y ,1/2+Z \t( 4) 1/2-X ,   -Y ,    Z \t'] ,
     4684"i 41 m d": [' Space Group: I 41 m d', ' The lattice is noncentrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,1/2+X ,1/4+Z \t', ' ( 3) 1/2-X ,1/2-Y ,1/2+Z \t( 4) 1/2+Y ,   -X ,3/4+Z \t', ' ( 5)    -X ,    Y ,    Z \t( 6)    -Y ,1/2-X ,1/4+Z \t', ' ( 7) 1/2+X ,1/2-Y ,1/2+Z \t( 8) 1/2+Y ,    X ,3/4+Z \t'] ,
     4685"c c c m": [' Space Group: C c c m', ' The lattice is centrosymmetric C-centered orthorhombic', ' Multiplicity of a general site is 16', ' The Laue symmetry is mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,    Y ,1/2+Z \t', ' ( 3)     X ,   -Y ,1/2+Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4686"p 41 21 2": [' Space Group: P 41 21 2', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-Y ,1/2+X ,1/4+Z \t', ' ( 3)    -X ,   -Y ,1/2+Z \t( 4) 1/2+Y ,1/2-X ,3/4+Z \t', ' ( 5) 1/2-X ,1/2+Y ,1/4-Z \t( 6)    -Y ,   -X ,1/2-Z \t', ' ( 7) 1/2+X ,1/2-Y ,3/4-Z \t( 8)     Y ,    X ,   -Z \t'] ,
     4687"p 31": [' Space Group: P 31', ' The lattice is noncentrosymmetric primitive trigonal', ' Multiplicity of a general site is 3', ' The Laue symmetry is 3', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,1/3+Z \t( 3)    Y-X,   -X ,2/3+Z \t'] ,
     4688"p 32": [' Space Group: P 32', ' The lattice is noncentrosymmetric primitive trigonal', ' Multiplicity of a general site is 3', ' The Laue symmetry is 3', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,2/3+Z \t( 3)    Y-X,   -X ,1/3+Z \t'] ,
     4689"p 42/m n m": [' Space Group: P 42/m n m', ' The lattice is centrosymmetric primitive tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2-Y ,1/2+X ,1/2+Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4) 1/2+Y ,1/2-X ,1/2+Z \t', ' ( 5) 1/2-X ,1/2+Y ,1/2+Z \t( 6)    -Y ,   -X ,    Z \t', ' ( 7) 1/2+X ,1/2-Y ,1/2+Z \t( 8)     Y ,    X ,    Z \t'] ,
     4690"p 3 1 2": [' Space Group: P 3 1 2', ' The lattice is noncentrosymmetric primitive trigonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 31m', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)     X ,   X-Y,   -Z \t( 5)    Y-X,    Y ,   -Z \t( 6)    -Y ,   -X ,   -Z \t'] ,
     4691"i 41 2 2": [' Space Group: I 41 2 2', ' The lattice is noncentrosymmetric I-centered tetragonal', ' Multiplicity of a general site is 16', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,1/2+X ,1/4+Z \t', ' ( 3) 1/2-X ,1/2-Y ,1/2+Z \t( 4) 1/2+Y ,   -X ,3/4+Z \t', ' ( 5) 1/2-X ,    Y ,3/4-Z \t( 6)    -Y ,   -X ,   -Z \t', ' ( 7)     X ,1/2-Y ,1/4-Z \t( 8) 1/2+Y ,1/2+X ,1/2-Z \t'] ,
     4692"p -3 m 1": [' Space Group: P -3 m 1', ' The lattice is centrosymmetric primitive trigonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 3m1', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)    Y-X,    Y ,    Z \t( 5)    -Y ,   -X ,    Z \t( 6)     X ,   X-Y,    Z \t'] ,
     4693"a b m 2": [' Space Group: A b m 2', ' The lattice is noncentrosymmetric A-centered orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -X ,1/2+Y ,    Z \t', ' ( 3)     X ,1/2-Y ,    Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4694"p n -3 n": [' Space Group: P n -3 n', ' The lattice is centrosymmetric primitive cubic', ' Multiplicity of a general site is 48', ' The Laue symmetry is m3m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/2+X ,1/2+Y ,   -Z \t( 5)    -Z ,1/2+X ,1/2+Y \t( 6) 1/2+Y ,   -Z ,1/2+X \t', ' ( 7) 1/2-Z ,    X ,1/2-Y \t( 8) 1/2-Y ,1/2-Z ,    X \t( 9)     Y ,1/2-Z ,1/2-X \t', ' (10) 1/2-X ,    Y ,1/2-Z \t(11) 1/2-Z ,1/2-X ,    Y \t(12)     X ,1/2-Y ,1/2-Z \t', ' (13) 1/2+Y ,1/2+X ,1/2+Z \t(14) 1/2+Z ,1/2+Y ,1/2+X \t(15) 1/2+X ,1/2+Z ,1/2+Y \t', ' (16)     Y ,    X ,1/2-Z \t(17) 1/2-Z ,    Y ,    X \t(18)     X ,1/2-Z ,    Y \t', ' (19)    -Z ,1/2+Y ,   -X \t(20)    -X ,   -Z ,1/2+Y \t(21) 1/2+X ,   -Z ,   -Y \t', ' (22)    -Y ,1/2+X ,   -Z \t(23)    -Z ,   -Y ,1/2+X \t(24) 1/2+Y ,   -X ,   -Z \t'] ,
     4695"r 3": [' Space Group: R 3', ' The lattice is noncentrosymmetric R-centered trigonal', ' Multiplicity of a general site is 9', ' The Laue symmetry is 3', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', '\n (0,0,0; 1/3,2/3,2/3; 2/3,1/3,1/3)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t'] ,
     4696"c 2 2 2": [' Space Group: C 2 2 2', ' The lattice is noncentrosymmetric C-centered orthorhombic', ' Multiplicity of a general site is 8', ' The Laue symmetry is mmm', '\n The equivalent positions are:', '\n (0,0,0; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     X ,   -Y ,   -Z \t', ' ( 3)    -X ,    Y ,   -Z \t( 4)    -X ,   -Y ,    Z \t'] ,
     4697"p n -3 m": [' Space Group: P n -3 m', ' The lattice is centrosymmetric primitive cubic', ' Multiplicity of a general site is 48', ' The Laue symmetry is m3m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/2+X ,1/2+Y ,   -Z \t( 5)    -Z ,1/2+X ,1/2+Y \t( 6) 1/2+Y ,   -Z ,1/2+X \t', ' ( 7) 1/2-Z ,    X ,1/2-Y \t( 8) 1/2-Y ,1/2-Z ,    X \t( 9)     Y ,1/2-Z ,1/2-X \t', ' (10) 1/2-X ,    Y ,1/2-Z \t(11) 1/2-Z ,1/2-X ,    Y \t(12)     X ,1/2-Y ,1/2-Z \t', ' (13)     Y ,    X ,    Z \t(14)     Z ,    Y ,    X \t(15)     X ,    Z ,    Y \t', ' (16) 1/2+Y ,1/2+X ,   -Z \t(17)    -Z ,1/2+Y ,1/2+X \t(18) 1/2+X ,   -Z ,1/2+Y \t', ' (19) 1/2-Z ,    Y ,1/2-X \t(20) 1/2-X ,1/2-Z ,    Y \t(21)     X ,1/2-Z ,1/2-Y \t', ' (22) 1/2-Y ,    X ,1/2-Z \t(23) 1/2-Z ,1/2-Y ,    X \t(24)     Y ,1/2-X ,1/2-Z \t'] ,
     4698"p 42 c m": [' Space Group: P 42 c m', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,1/2+Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)     Y ,   -X ,1/2+Z \t', ' ( 5)    -X ,    Y ,1/2+Z \t( 6)    -Y ,   -X ,    Z \t', ' ( 7)     X ,   -Y ,1/2+Z \t( 8)     Y ,    X ,    Z \t'] ,
     4699"p 6/m 1 1": [' Space Group: P 6/m 1 1', ' The lattice is centrosymmetric primitive hexagonal', ' Multiplicity of a general site is 12', ' The Laue symmetry is 6/m', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    X-Y,    X ,    Z \t( 3)    -Y ,   X-Y,    Z \t', ' ( 4)    -X ,   -Y ,    Z \t( 5)    Y-X,   -X ,    Z \t( 6)     Y ,   Y-X,    Z \t'] ,
     4700"p 21 21 21": [' Space Group: P 21 21 21', ' The lattice is noncentrosymmetric primitive orthorhombic', ' Multiplicity of a general site is 4', ' The Laue symmetry is mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2) 1/2+X ,1/2-Y ,   -Z \t', ' ( 3)    -X ,1/2+Y ,1/2-Z \t( 4) 1/2-X ,   -Y ,1/2+Z \t'] ,
     4701"f d -3": [' Space Group: F d -3', ' The lattice is centrosymmetric F-centered cubic', ' Multiplicity of a general site is 96', ' The Laue symmetry is m3', ' The inversion center is located at 0,0,0', '\n The equivalent positions are:', '\n (0,0,0; 0,1/2,1/2; 1/2,0,1/2; 1/2,1/2,0)+', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Z ,    X ,    Y \t( 3)     Y ,    Z ,    X \t', ' ( 4) 1/4+X ,1/4+Y ,   -Z \t( 5)    -Z ,1/4+X ,1/4+Y \t( 6) 1/4+Y ,   -Z ,1/4+X \t', ' ( 7) 1/4-Z ,1/2+X ,3/4-Y \t( 8) 3/4-Y ,1/4-Z ,1/2+X \t( 9) 1/2+Y ,1/4-Z ,3/4-X \t', ' (10) 3/4-X ,1/2+Y ,1/4-Z \t(11) 1/4-Z ,3/4-X ,1/2+Y \t(12) 1/2+X ,3/4-Y ,1/4-Z \t'] ,
     4702"p -4 b 2": [' Space Group: P -4 b 2', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)     Y ,   -X ,   -Z \t', ' ( 3)    -X ,   -Y ,    Z \t( 4)    -Y ,    X ,   -Z \t', ' ( 5) 1/2-X ,1/2+Y ,    Z \t( 6) 1/2+Y ,1/2+X ,   -Z \t', ' ( 7) 1/2+X ,1/2-Y ,    Z \t( 8) 1/2-Y ,1/2-X ,   -Z \t'] ,
     4703"p 3 1 c": [' Space Group: P 3 1 c', ' The lattice is noncentrosymmetric primitive trigonal', ' Multiplicity of a general site is 6', ' The Laue symmetry is 31m', ' The location of the origin is arbitrary in z', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,   X-Y,    Z \t( 3)    Y-X,   -X ,    Z \t', ' ( 4)     Y ,    X ,1/2+Z \t( 5)    -X ,   Y-X,1/2+Z \t( 6)    X-Y,   -Y ,1/2+Z \t'] ,
     4704"p 41 2 2": [' Space Group: P 41 2 2', ' The lattice is noncentrosymmetric primitive tetragonal', ' Multiplicity of a general site is 8', ' The Laue symmetry is 4/mmm', '\n The equivalent positions are:', ' ', ' ( 1)     X ,    Y ,    Z \t( 2)    -Y ,    X ,1/4+Z \t', ' ( 3)    -X ,   -Y ,1/2+Z \t( 4)     Y ,   -X ,3/4+Z \t', ' ( 5)    -X ,    Y ,   -Z \t( 6)    -Y ,   -X ,1/4-Z \t', ' ( 7)     X ,   -Y ,1/2-Z \t( 8)     Y ,    X ,3/4-Z \t'] ,
    47054705}
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