OpenWrite::noopen: Cannot open /stmp/mathematica/tmp_123400.txt. Content-type: text/html MGROUPS
Bilbao Crystallographic Server arrow SUBGROUPS Help

The magnetic space groups derived from the Fedorov space group: 010b > 010b (id = 31297)HHHHRead tr. matrix for the supergroup from /tmp/wp-supertrm31297.trnHHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 1.000000 0.000000 0.000000 HHHH0.000000 0.000000 1.000000 0.000000 HHHHinverted:HHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 1.000000 0.000000 0.000000 HHHH0.000000 0.000000 1.000000 0.000000 HHHHRead tr. matrix for the subgroup from /tmp/wp-subtrm31297.trnHHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 1.000000 0.000000 0.000000 HHHH0.000000 0.000000 1.000000 0.000000 HHHHinverted:HHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 1.000000 0.000000 0.000000 HHHH0.000000 0.000000 1.000000 0.000000 HHHHRead tr. matrix from /tmp/wp-trm31297.trnHHHH7.000000 0.000000 0.000000 5.000000 HHHH0.000000 1.000000 0.000000 0.000000 HHHH0.000000 0.000000 1.000000 0.000000 HHHHTransformation matrix:HHHH7.000000 0.000000 0.000000 5.000000 HHHH0.000000 1.000000 0.000000 0.000000 HHHH0.000000 0.000000 1.000000 0.000000 HHHHdeterminant: 7.000000(det-ONE=6.000000)HHHHInverted of the transformation matrix:HHHH0.142857 0.000000 0.000000 -0.714286 HHHH0.000000 1.000000 0.000000 0.000000 HHHH0.000000 0.000000 1.000000 0.000000 HHHHSubgroup generators: 2, general positions: 4HHHH(x,y,z)HHHH(-x,y, -z)HHHH(-x, -y, -z)HHHH(x, -y,z)HHHHSubgroup Wyckoff positions:HHHHList of Wyckoff positions:HHHHOrbit No:0HHHHMultiplicity:4HHHHLetter:oHHHH(x,y,z)HHHH(-x,y, -z)HHHH(-x, -y, -z)HHHH(x, -y,z)HHHHOrbit No:1HHHHMultiplicity:2HHHHLetter:nHHHH(x, 0.500000,z)HHHH(-x, 0.500000, -z)HHHHOrbit No:2HHHHMultiplicity:2HHHHLetter:mHHHH(x, 0.000000,z)HHHH(-x, 0.000000, -z)HHHHOrbit No:3HHHHMultiplicity:2HHHHLetter:lHHHH(0.500000,y, 0.500000)HHHH(0.500000, -y, 0.500000)HHHHOrbit No:4HHHHMultiplicity:2HHHHLetter:kHHHH(0.000000,y, 0.500000)HHHH(0.000000, -y, 0.500000)HHHHOrbit No:5HHHHMultiplicity:2HHHHLetter:jHHHH(0.500000,y, 0.000000)HHHH(0.500000, -y, 0.000000)HHHHOrbit No:6HHHHMultiplicity:2HHHHLetter:iHHHH(0.000000,y, 0.000000)HHHH(0.000000, -y, 0.000000)HHHHOrbit No:7HHHHMultiplicity:1HHHHLetter:hHHHH(0.500000, 0.500000, 0.500000)HHHHOrbit No:8HHHHMultiplicity:1HHHHLetter:gHHHH(0.500000, 0.000000, 0.500000)HHHHOrbit No:9HHHHMultiplicity:1HHHHLetter:fHHHH(0.000000, 0.500000, 0.500000)HHHHOrbit No:10HHHHMultiplicity:1HHHHLetter:eHHHH(0.500000, 0.500000, 0.000000)HHHHOrbit No:11HHHHMultiplicity:1HHHHLetter:dHHHH(0.500000, 0.000000, 0.000000)HHHHOrbit No:12HHHHMultiplicity:1HHHHLetter:cHHHH(0.000000, 0.000000, 0.500000)HHHHOrbit No:13HHHHMultiplicity:1HHHHLetter:bHHHH(0.000000, 0.500000, 0.000000)HHHHOrbit No:14HHHHMultiplicity:1HHHHLetter:aHHHH(0.000000, 0.000000, 0.000000)HHHHtr. matrix:(5.000000 + 7.000000x,y,z)HHHHdet = 7.000000HHHHSupergroup is transformed to unconventional setting.HHHHtake memory for 9 cells.HHHHtr. matrix:(5.000000 + 7.000000x,y,z)HHHHNumber of gen. pos. = 4, det = 7.000000. New number of general positions: 28HHHHchange the basis with the matrix (5.000000 + 7.000000x,y,z)HHHHAfter checking group we obtain 28 elementsHHHH000HHHHBefore expanding:HHHH(x,y,z)HHHH(0.571429 - x,y, -z)HHHH(0.571429 - x, -y, -z)HHHH(x, -y,z)HHHHAfter expanding general positions: number of cells: 1HHHHNumber of gen. pos. = 0, det = 7.000000. New number of general positions: 0HHHH(x,y,z)HHHH(0.142857 +x,y,z)HHHH(0.285714 +x,y,z)HHHH(0.428571 +x,y,z)HHHH(0.571429 +x,y,z)HHHH(0.714286 +x,y,z)HHHH(0.857143 +x,y,z)HHHH(0.571429 - x,y, -z)HHHH(0.714286 - x,y, -z)HHHH(0.857143 - x,y, -z)HHHH(-x,y, -z)HHHH(0.142857 - x,y, -z)HHHH(0.285714 - x,y, -z)HHHH(0.428571 - x,y, -z)HHHH(0.571429 - x, -y, -z)HHHH(0.714286 - x, -y, -z)HHHH(0.857143 - x, -y, -z)HHHH(-x, -y, -z)HHHH(0.142857 - x, -y, -z)HHHH(0.285714 - x, -y, -z)HHHH(0.428571 - x, -y, -z)HHHH(x, -y,z)HHHH(0.142857 +x, -y,z)HHHH(0.285714 +x, -y,z)HHHH(0.428571 +x, -y,z)HHHH(0.571429 +x, -y,z)HHHH(0.714286 +x, -y,z)HHHH(0.857143 +x, -y,z)HHHH000HHHHSupergroup is transformed (28 gen.pos.)->return the new group.HHHH(x,y,z)HHHH(0.142857 +x,y,z)HHHH(0.285714 +x,y,z)HHHH(0.428571 +x,y,z)HHHH(0.571429 +x,y,z)HHHH(0.714286 +x,y,z)HHHH(0.857143 +x,y,z)HHHH(0.571429 - x,y, -z)HHHH(0.714286 - x,y, -z)HHHH(0.857143 - x,y, -z)HHHH(-x,y, -z)HHHH(0.142857 - x,y, -z)HHHH(0.285714 - x,y, -z)HHHH(0.428571 - x,y, -z)HHHH(0.571429 - x, -y, -z)HHHH(0.714286 - x, -y, -z)HHHH(0.857143 - x, -y, -z)HHHH(-x, -y, -z)HHHH(0.142857 - x, -y, -z)HHHH(0.285714 - x, -y, -z)HHHH(0.428571 - x, -y, -z)HHHH(x, -y,z)HHHH(0.142857 +x, -y,z)HHHH(0.285714 +x, -y,z)HHHH(0.428571 +x, -y,z)HHHH(0.571429 +x, -y,z)HHHH(0.714286 +x, -y,z)HHHH(0.857143 +x, -y,z)HHHHSupergroup is transformed to the subgroup basis. there are 28 general positionsHHHHSupergroup generators: xxx, general positions:28HHHHSubgroup basis:HHHH(x,y,z)HHHH(0.142857 +x,y,z)HHHH(0.285714 +x,y,z)HHHH(0.428571 +x,y,z)HHHH(0.571429 +x,y,z)HHHH(0.714286 +x,y,z)HHHH(0.857143 +x,y,z)HHHH(0.571429 - x,y, -z)HHHH(0.714286 - x,y, -z)HHHH(0.857143 - x,y, -z)HHHH(-x,y, -z)HHHH(0.142857 - x,y, -z)HHHH(0.285714 - x,y, -z)HHHH(0.428571 - x,y, -z)HHHH(0.571429 - x, -y, -z)HHHH(0.714286 - x, -y, -z)HHHH(0.857143 - x, -y, -z)HHHH(-x, -y, -z)HHHH(0.142857 - x, -y, -z)HHHH(0.285714 - x, -y, -z)HHHH(0.428571 - x, -y, -z)HHHH(x, -y,z)HHHH(0.142857 +x, -y,z)HHHH(0.285714 +x, -y,z)HHHH(0.428571 +x, -y,z)HHHH(0.571429 +x, -y,z)HHHH(0.714286 +x, -y,z)HHHH(0.857143 +x, -y,z)HHHHnumber of cells: 1HHHH000HHHHSupergroup Wyckoff positions:HHHHOwn basis.HHHHList of Wyckoff positions:HHHHOrbit No:0HHHHMultiplicity:4HHHHLetter:oHHHH(x,y,z)HHHHOrbit No:1HHHHMultiplicity:2HHHHLetter:nHHHH(x, 0.500000,z)HHHHOrbit No:2HHHHMultiplicity:2HHHHLetter:mHHHH(x, 0.000000,z)HHHHOrbit No:3HHHHMultiplicity:2HHHHLetter:lHHHH(0.500000,y, 0.500000)HHHHOrbit No:4HHHHMultiplicity:2HHHHLetter:kHHHH(0.000000,y, 0.500000)HHHHOrbit No:5HHHHMultiplicity:2HHHHLetter:jHHHH(0.500000,y, 0.000000)HHHHOrbit No:6HHHHMultiplicity:2HHHHLetter:iHHHH(0.000000,y, 0.000000)HHHHOrbit No:7HHHHMultiplicity:1HHHHLetter:hHHHH(0.500000, 0.500000, 0.500000)HHHHOrbit No:8HHHHMultiplicity:1HHHHLetter:gHHHH(0.500000, 0.000000, 0.500000)HHHHOrbit No:9HHHHMultiplicity:1HHHHLetter:fHHHH(0.000000, 0.500000, 0.500000)HHHHOrbit No:10HHHHMultiplicity:1HHHHLetter:eHHHH(0.500000, 0.500000, 0.000000)HHHHOrbit No:11HHHHMultiplicity:1HHHHLetter:dHHHH(0.500000, 0.000000, 0.000000)HHHHOrbit No:12HHHHMultiplicity:1HHHHLetter:cHHHH(0.000000, 0.000000, 0.500000)HHHHOrbit No:13HHHHMultiplicity:1HHHHLetter:bHHHH(0.000000, 0.500000, 0.000000)HHHHOrbit No:14HHHHMultiplicity:1HHHHLetter:aHHHH(0.000000, 0.000000, 0.000000)HHHHSubgroup basis.HHHHList of Wyckoff positions:HHHHOrbit No:0HHHHMultiplicity:4HHHHLetter:oHHHH(1.000000 + 0.142857 (-5.000000 +x),y,z)HHHHOrbit No:1HHHHMultiplicity:2HHHHLetter:nHHHH(1.000000 + 0.142857 (-5.000000 +x), 0.500000,z)HHHHOrbit No:2HHHHMultiplicity:2HHHHLetter:mHHHH(1.000000 + 0.142857 (-5.000000 +x), 0.000000,z)HHHHOrbit No:3HHHHMultiplicity:2HHHHLetter:lHHHH(0.357143,y, 0.500000)HHHHOrbit No:4HHHHMultiplicity:2HHHHLetter:kHHHH(0.285714,y, 0.500000)HHHHOrbit No:5HHHHMultiplicity:2HHHHLetter:jHHHH(0.357143,y, 0.000000)HHHHOrbit No:6HHHHMultiplicity:2HHHHLetter:iHHHH(0.285714,y, 0.000000)HHHHOrbit No:7HHHHMultiplicity:1HHHHLetter:hHHHH(0.357143, 0.500000, 0.500000)HHHHOrbit No:8HHHHMultiplicity:1HHHHLetter:gHHHH(0.357143, 0.000000, 0.500000)HHHHOrbit No:9HHHHMultiplicity:1HHHHLetter:fHHHH(0.285714, 0.500000, 0.500000)HHHHOrbit No:10HHHHMultiplicity:1HHHHLetter:eHHHH(0.357143, 0.500000, 0.000000)HHHHOrbit No:11HHHHMultiplicity:1HHHHLetter:dHHHH(0.357143, 0.000000, 0.000000)HHHHOrbit No:12HHHHMultiplicity:1HHHHLetter:cHHHH(0.285714, 0.000000, 0.500000)HHHHOrbit No:13HHHHMultiplicity:1HHHHLetter:bHHHH(0.285714, 0.500000, 0.000000)HHHHOrbit No:14HHHHMultiplicity:1HHHHLetter:aHHHH(0.285714, 0.000000, 0.000000)HHHHindex : 7HHHHSplitting of the general position of the supergroup...HHHHThe general position splits into 7 suborbits.HHHH&Splitting of all positions:HHHHGGGG4o: 4o 4o 4o 4o 4o 4o 4oHHHH2n: 2n 2n 2n 2n 2n 2n 2nHHHH2m: 2m 2m 2m 2m 2m 2m 2mHHHH2l: 4o 2l 4o 4oHHHH2k: 4o 4o 4o 2kHHHH2j: 4o 2j 4o 4oHHHH2i: 4o 4o 4o 2iHHHH1h: 2n 1h 2n 2nHHHH1g: 2m 1g 2m 2mHHHH1f: 2n 2n 2n 1fHHHH1e: 2n 1e 2n 2nHHHH1d: 2m 1d 2m 2mHHHH1c: 2m 2m 2m 1cHHHH1b: 2n 2n 2n 1bHHHH1a: 2m 2m 2m 1aHHHH&Splitting of Wyckoff position 4o: 4o 4o 4o 4o 4o 4o 4oHHHHOrbit 0:HHHH[0]TTTT(x,y,z)TTTT(0.142857 (-5.000000 +x),y,z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(3.000000 - x,y, -z)TTTT(0.142857 (-2.000000 - x),y, -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(3.000000 - x, -y, -z)TTTT(0.142857 (-2.000000 - x), -y, -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(x, -y,z)TTTT(0.142857 (-5.000000 +x), -y,z)TTTT4oTTTT(x, -y,z)HHHHOrbit 1:HHHH[0]TTTT(1.000000 +x,y,z)TTTT(0.142857 (-4.000000 +x),y,z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(2.000000 - x,y, -z)TTTT(0.142857 (-3.000000 - x),y, -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(2.000000 - x, -y, -z)TTTT(0.142857 (-3.000000 - x), -y, -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(1.000000 +x, -y,z)TTTT(0.142857 (-4.000000 +x), -y,z)TTTT4oTTTT(x, -y,z)HHHHOrbit 2:HHHH[0]TTTT(2.000000 +x,y,z)TTTT(0.142857 (-3.000000 +x),y,z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(1.000000 - x,y, -z)TTTT(0.142857 (-4.000000 - x),y, -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(1.000000 - x, -y, -z)TTTT(0.142857 (-4.000000 - x), -y, -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(2.000000 +x, -y,z)TTTT(0.142857 (-3.000000 +x), -y,z)TTTT4oTTTT(x, -y,z)HHHHOrbit 3:HHHH[0]TTTT(3.000000 +x,y,z)TTTT(0.142857 (-2.000000 +x),y,z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-x,y, -z)TTTT(0.142857 (-5.000000 - x),y, -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-x, -y, -z)TTTT(0.142857 (-5.000000 - x), -y, -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(3.000000 +x, -y,z)TTTT(0.142857 (-2.000000 +x), -y,z)TTTT4oTTTT(x, -y,z)HHHHOrbit 4:HHHH[0]TTTT(4.000000 +x,y,z)TTTT(0.142857 (-1.000000 +x),y,z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-1.000000 - x,y, -z)TTTT(0.142857 (-6.000000 - x),y, -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-1.000000 - x, -y, -z)TTTT(0.142857 (-6.000000 - x), -y, -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(4.000000 +x, -y,z)TTTT(0.142857 (-1.000000 +x), -y,z)TTTT4oTTTT(x, -y,z)HHHHOrbit 5:HHHH[0]TTTT(-2.000000 +x,y,z)TTTT(0.142857 (-7.000000 +x),y,z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-2.000000 - x,y, -z)TTTT(-1.000000 - 0.142857x,y, -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-2.000000 - x, -y, -z)TTTT(-1.000000 - 0.142857x, -y, -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(-2.000000 +x, -y,z)TTTT(0.142857 (-7.000000 +x), -y,z)TTTT4oTTTT(x, -y,z)HHHHOrbit 6:HHHH[0]TTTT(-1.000000 +x,y,z)TTTT(0.142857 (-6.000000 +x),y,z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(4.000000 - x,y, -z)TTTT(0.142857 (-1.000000 - x),y, -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(4.000000 - x, -y, -z)TTTT(0.142857 (-1.000000 - x), -y, -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(-1.000000 +x, -y,z)TTTT(0.142857 (-6.000000 +x), -y,z)TTTT4oTTTT(x, -y,z)HHHHGGGG$Splitting of Wyckoff position 2n: 2n 2n 2n 2n 2n 2n 2nHHHHOrbit 0:HHHH[0]TTTT(x, 0.500000,z)TTTT(0.142857 (-5.000000 +x), 0.500000,z)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(3.000000 - x, 0.500000, -z)TTTT(0.142857 (-2.000000 - x), 0.500000, -z)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 1:HHHH[0]TTTT(1.000000 +x, 0.500000,z)TTTT(0.142857 (-4.000000 +x), 0.500000,z)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(2.000000 - x, 0.500000, -z)TTTT(0.142857 (-3.000000 - x), 0.500000, -z)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 2:HHHH[0]TTTT(2.000000 +x, 0.500000,z)TTTT(0.142857 (-3.000000 +x), 0.500000,z)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(1.000000 - x, 0.500000, -z)TTTT(0.142857 (-4.000000 - x), 0.500000, -z)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 3:HHHH[0]TTTT(3.000000 +x, 0.500000,z)TTTT(0.142857 (-2.000000 +x), 0.500000,z)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(-x, 0.500000, -z)TTTT(0.142857 (-5.000000 - x), 0.500000, -z)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 4:HHHH[0]TTTT(4.000000 +x, 0.500000,z)TTTT(0.142857 (-1.000000 +x), 0.500000,z)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(-1.000000 - x, 0.500000, -z)TTTT(0.142857 (-6.000000 - x), 0.500000, -z)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 5:HHHH[0]TTTT(-2.000000 +x, 0.500000,z)TTTT(0.142857 (-7.000000 +x), 0.500000,z)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(-2.000000 - x, 0.500000, -z)TTTT(-1.000000 - 0.142857x, 0.500000, -z)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 6:HHHH[0]TTTT(-1.000000 +x, 0.500000,z)TTTT(0.142857 (-6.000000 +x), 0.500000,z)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(4.000000 - x, 0.500000, -z)TTTT(0.142857 (-1.000000 - x), 0.500000, -z)TTTT2nTTTT(-x, 0.500000, -z)HHHHGGGG$Splitting of Wyckoff position 2m: 2m 2m 2m 2m 2m 2m 2mHHHHOrbit 0:HHHH[0]TTTT(x, 0.000000,z)TTTT(0.142857 (-5.000000 +x), 0.000000,z)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(3.000000 - x, 0.000000, -z)TTTT(0.142857 (-2.000000 - x), 0.000000, -z)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 1:HHHH[0]TTTT(1.000000 +x, 0.000000,z)TTTT(0.142857 (-4.000000 +x), 0.000000,z)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(2.000000 - x, 0.000000, -z)TTTT(0.142857 (-3.000000 - x), 0.000000, -z)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 2:HHHH[0]TTTT(2.000000 +x, 0.000000,z)TTTT(0.142857 (-3.000000 +x), 0.000000,z)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(1.000000 - x, 0.000000, -z)TTTT(0.142857 (-4.000000 - x), 0.000000, -z)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 3:HHHH[0]TTTT(3.000000 +x, 0.000000,z)TTTT(0.142857 (-2.000000 +x), 0.000000,z)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(-x, 0.000000, -z)TTTT(0.142857 (-5.000000 - x), 0.000000, -z)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 4:HHHH[0]TTTT(4.000000 +x, 0.000000,z)TTTT(0.142857 (-1.000000 +x), 0.000000,z)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(-1.000000 - x, 0.000000, -z)TTTT(0.142857 (-6.000000 - x), 0.000000, -z)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 5:HHHH[0]TTTT(-2.000000 +x, 0.000000,z)TTTT(0.142857 (-7.000000 +x), 0.000000,z)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(-2.000000 - x, 0.000000, -z)TTTT(-1.000000 - 0.142857x, 0.000000, -z)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 6:HHHH[0]TTTT(-1.000000 +x, 0.000000,z)TTTT(0.142857 (-6.000000 +x), 0.000000,z)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(4.000000 - x, 0.000000, -z)TTTT(0.142857 (-1.000000 - x), 0.000000, -z)TTTT2mTTTT(-x, 0.000000, -z)HHHHGGGG$Splitting of Wyckoff position 2l: 4o 2l 4o 4oHHHHOrbit 0:HHHH[0]TTTT(0.500000,y, 0.500000)TTTT(-0.642857,y, 0.500000)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(2.500000,y, 0.500000)TTTT(-0.357143,y, 0.500000)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(2.500000, -y, 0.500000)TTTT(-0.357143, -y, 0.500000)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(0.500000, -y, 0.500000)TTTT(-0.642857, -y, 0.500000)TTTT4oTTTT(x, -y,z)HHHHOrbit 1:HHHH[0]TTTT(1.500000,y, 0.500000)TTTT(-0.500000,y, 0.500000)TTTT2lTTTT(0.500000,y, 0.500000)HHHH[1]TTTT(1.500000, -y, 0.500000)TTTT(-0.500000, -y, 0.500000)TTTT2lTTTT(0.500000, -y, 0.500000)HHHHOrbit 2:HHHH[0]TTTT(3.500000,y, 0.500000)TTTT(-0.214286,y, 0.500000)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-0.500000,y, 0.500000)TTTT(-0.785714,y, 0.500000)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-0.500000, -y, 0.500000)TTTT(-0.785714, -y, 0.500000)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(3.500000, -y, 0.500000)TTTT(-0.214286, -y, 0.500000)TTTT4oTTTT(x, -y,z)HHHHOrbit 3:HHHH[0]TTTT(4.500000,y, 0.500000)TTTT(-0.071429,y, 0.500000)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-1.500000,y, 0.500000)TTTT(-0.928571,y, 0.500000)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-1.500000, -y, 0.500000)TTTT(-0.928571, -y, 0.500000)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(4.500000, -y, 0.500000)TTTT(-0.071429, -y, 0.500000)TTTT4oTTTT(x, -y,z)HHHHGGGG$Splitting of Wyckoff position 2k: 4o 4o 4o 2kHHHHOrbit 0:HHHH[0]TTTT(0.000000,y, 0.500000)TTTT(-0.714286,y, 0.500000)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(3.000000,y, 0.500000)TTTT(-0.285714,y, 0.500000)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(3.000000, -y, 0.500000)TTTT(-0.285714, -y, 0.500000)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(0.000000, -y, 0.500000)TTTT(-0.714286, -y, 0.500000)TTTT4oTTTT(x, -y,z)HHHHOrbit 1:HHHH[0]TTTT(1.000000,y, 0.500000)TTTT(-0.571429,y, 0.500000)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(2.000000,y, 0.500000)TTTT(-0.428571,y, 0.500000)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(2.000000, -y, 0.500000)TTTT(-0.428571, -y, 0.500000)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(1.000000, -y, 0.500000)TTTT(-0.571429, -y, 0.500000)TTTT4oTTTT(x, -y,z)HHHHOrbit 2:HHHH[0]TTTT(4.000000,y, 0.500000)TTTT(-0.142857,y, 0.500000)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-1.000000,y, 0.500000)TTTT(-0.857143,y, 0.500000)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-1.000000, -y, 0.500000)TTTT(-0.857143, -y, 0.500000)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(4.000000, -y, 0.500000)TTTT(-0.142857, -y, 0.500000)TTTT4oTTTT(x, -y,z)HHHHOrbit 3:HHHH[0]TTTT(-2.000000,y, 0.500000)TTTT(-1.000000,y, 0.500000)TTTT2kTTTT(0.000000,y, 0.500000)HHHH[1]TTTT(-2.000000, -y, 0.500000)TTTT(-1.000000, -y, 0.500000)TTTT2kTTTT(0.000000, -y, 0.500000)HHHHGGGG$Splitting of Wyckoff position 2j: 4o 2j 4o 4oHHHHOrbit 0:HHHH[0]TTTT(0.500000,y, 0.000000)TTTT(-0.642857,y, 0.000000)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(2.500000,y, 0.000000)TTTT(-0.357143,y, 0.000000)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(2.500000, -y, 0.000000)TTTT(-0.357143, -y, 0.000000)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(0.500000, -y, 0.000000)TTTT(-0.642857, -y, 0.000000)TTTT4oTTTT(x, -y,z)HHHHOrbit 1:HHHH[0]TTTT(1.500000,y, 0.000000)TTTT(-0.500000,y, 0.000000)TTTT2jTTTT(0.500000,y, 0.000000)HHHH[1]TTTT(1.500000, -y, 0.000000)TTTT(-0.500000, -y, 0.000000)TTTT2jTTTT(0.500000, -y, 0.000000)HHHHOrbit 2:HHHH[0]TTTT(3.500000,y, 0.000000)TTTT(-0.214286,y, 0.000000)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-0.500000,y, 0.000000)TTTT(-0.785714,y, 0.000000)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-0.500000, -y, 0.000000)TTTT(-0.785714, -y, 0.000000)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(3.500000, -y, 0.000000)TTTT(-0.214286, -y, 0.000000)TTTT4oTTTT(x, -y,z)HHHHOrbit 3:HHHH[0]TTTT(4.500000,y, 0.000000)TTTT(-0.071429,y, 0.000000)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-1.500000,y, 0.000000)TTTT(-0.928571,y, 0.000000)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-1.500000, -y, 0.000000)TTTT(-0.928571, -y, 0.000000)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(4.500000, -y, 0.000000)TTTT(-0.071429, -y, 0.000000)TTTT4oTTTT(x, -y,z)HHHHGGGG$Splitting of Wyckoff position 2i: 4o 4o 4o 2iHHHHOrbit 0:HHHH[0]TTTT(0.000000,y, 0.000000)TTTT(-0.714286,y, 0.000000)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(3.000000,y, 0.000000)TTTT(-0.285714,y, 0.000000)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(3.000000, -y, 0.000000)TTTT(-0.285714, -y, 0.000000)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(0.000000, -y, 0.000000)TTTT(-0.714286, -y, 0.000000)TTTT4oTTTT(x, -y,z)HHHHOrbit 1:HHHH[0]TTTT(1.000000,y, 0.000000)TTTT(-0.571429,y, 0.000000)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(2.000000,y, 0.000000)TTTT(-0.428571,y, 0.000000)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(2.000000, -y, 0.000000)TTTT(-0.428571, -y, 0.000000)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(1.000000, -y, 0.000000)TTTT(-0.571429, -y, 0.000000)TTTT4oTTTT(x, -y,z)HHHHOrbit 2:HHHH[0]TTTT(4.000000,y, 0.000000)TTTT(-0.142857,y, 0.000000)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-1.000000,y, 0.000000)TTTT(-0.857143,y, 0.000000)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-1.000000, -y, 0.000000)TTTT(-0.857143, -y, 0.000000)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(4.000000, -y, 0.000000)TTTT(-0.142857, -y, 0.000000)TTTT4oTTTT(x, -y,z)HHHHOrbit 3:HHHH[0]TTTT(-2.000000,y, 0.000000)TTTT(-1.000000,y, 0.000000)TTTT2iTTTT(0.000000,y, 0.000000)HHHH[1]TTTT(-2.000000, -y, 0.000000)TTTT(-1.000000, -y, 0.000000)TTTT2iTTTT(0.000000, -y, 0.000000)HHHHGGGG$Splitting of Wyckoff position 1h: 2n 1h 2n 2nHHHHOrbit 0:HHHH[0]TTTT(0.500000, 0.500000, 0.500000)TTTT(-0.642857, 0.500000, 0.500000)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(2.500000, 0.500000, 0.500000)TTTT(-0.357143, 0.500000, 0.500000)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 1:HHHH[0]TTTT(1.500000, 0.500000, 0.500000)TTTT(-0.500000, 0.500000, 0.500000)TTTT1hTTTT(0.500000, 0.500000, 0.500000)HHHHOrbit 2:HHHH[0]TTTT(3.500000, 0.500000, 0.500000)TTTT(-0.214286, 0.500000, 0.500000)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(-0.500000, 0.500000, 0.500000)TTTT(-0.785714, 0.500000, 0.500000)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 3:HHHH[0]TTTT(4.500000, 0.500000, 0.500000)TTTT(-0.071429, 0.500000, 0.500000)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(-1.500000, 0.500000, 0.500000)TTTT(-0.928571, 0.500000, 0.500000)TTTT2nTTTT(-x, 0.500000, -z)HHHHGGGG$Splitting of Wyckoff position 1g: 2m 1g 2m 2mHHHHOrbit 0:HHHH[0]TTTT(0.500000, 0.000000, 0.500000)TTTT(-0.642857, 0.000000, 0.500000)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(2.500000, 0.000000, 0.500000)TTTT(-0.357143, 0.000000, 0.500000)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 1:HHHH[0]TTTT(1.500000, 0.000000, 0.500000)TTTT(-0.500000, 0.000000, 0.500000)TTTT1gTTTT(0.500000, 0.000000, 0.500000)HHHHOrbit 2:HHHH[0]TTTT(3.500000, 0.000000, 0.500000)TTTT(-0.214286, 0.000000, 0.500000)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(-0.500000, 0.000000, 0.500000)TTTT(-0.785714, 0.000000, 0.500000)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 3:HHHH[0]TTTT(4.500000, 0.000000, 0.500000)TTTT(-0.071429, 0.000000, 0.500000)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(-1.500000, 0.000000, 0.500000)TTTT(-0.928571, 0.000000, 0.500000)TTTT2mTTTT(-x, 0.000000, -z)HHHHGGGG$Splitting of Wyckoff position 1f: 2n 2n 2n 1fHHHHOrbit 0:HHHH[0]TTTT(0.000000, 0.500000, 0.500000)TTTT(-0.714286, 0.500000, 0.500000)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(3.000000, 0.500000, 0.500000)TTTT(-0.285714, 0.500000, 0.500000)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 1:HHHH[0]TTTT(1.000000, 0.500000, 0.500000)TTTT(-0.571429, 0.500000, 0.500000)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(2.000000, 0.500000, 0.500000)TTTT(-0.428571, 0.500000, 0.500000)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 2:HHHH[0]TTTT(4.000000, 0.500000, 0.500000)TTTT(-0.142857, 0.500000, 0.500000)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(-1.000000, 0.500000, 0.500000)TTTT(-0.857143, 0.500000, 0.500000)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 3:HHHH[0]TTTT(-2.000000, 0.500000, 0.500000)TTTT(-1.000000, 0.500000, 0.500000)TTTT1fTTTT(0.000000, 0.500000, 0.500000)HHHHGGGG$Splitting of Wyckoff position 1e: 2n 1e 2n 2nHHHHOrbit 0:HHHH[0]TTTT(0.500000, 0.500000, 0.000000)TTTT(-0.642857, 0.500000, 0.000000)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(2.500000, 0.500000, 0.000000)TTTT(-0.357143, 0.500000, 0.000000)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 1:HHHH[0]TTTT(1.500000, 0.500000, 0.000000)TTTT(-0.500000, 0.500000, 0.000000)TTTT1eTTTT(0.500000, 0.500000, 0.000000)HHHHOrbit 2:HHHH[0]TTTT(3.500000, 0.500000, 0.000000)TTTT(-0.214286, 0.500000, 0.000000)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(-0.500000, 0.500000, 0.000000)TTTT(-0.785714, 0.500000, 0.000000)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 3:HHHH[0]TTTT(4.500000, 0.500000, 0.000000)TTTT(-0.071429, 0.500000, 0.000000)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(-1.500000, 0.500000, 0.000000)TTTT(-0.928571, 0.500000, 0.000000)TTTT2nTTTT(-x, 0.500000, -z)HHHHGGGG$Splitting of Wyckoff position 1d: 2m 1d 2m 2mHHHHOrbit 0:HHHH[0]TTTT(0.500000, 0.000000, 0.000000)TTTT(-0.642857, 0.000000, 0.000000)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(2.500000, 0.000000, 0.000000)TTTT(-0.357143, 0.000000, 0.000000)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 1:HHHH[0]TTTT(1.500000, 0.000000, 0.000000)TTTT(-0.500000, 0.000000, 0.000000)TTTT1dTTTT(0.500000, 0.000000, 0.000000)HHHHOrbit 2:HHHH[0]TTTT(3.500000, 0.000000, 0.000000)TTTT(-0.214286, 0.000000, 0.000000)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(-0.500000, 0.000000, 0.000000)TTTT(-0.785714, 0.000000, 0.000000)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 3:HHHH[0]TTTT(4.500000, 0.000000, 0.000000)TTTT(-0.071429, 0.000000, 0.000000)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(-1.500000, 0.000000, 0.000000)TTTT(-0.928571, 0.000000, 0.000000)TTTT2mTTTT(-x, 0.000000, -z)HHHHGGGG$Splitting of Wyckoff position 1c: 2m 2m 2m 1cHHHHOrbit 0:HHHH[0]TTTT(0.000000, 0.000000, 0.500000)TTTT(-0.714286, 0.000000, 0.500000)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(3.000000, 0.000000, 0.500000)TTTT(-0.285714, 0.000000, 0.500000)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 1:HHHH[0]TTTT(1.000000, 0.000000, 0.500000)TTTT(-0.571429, 0.000000, 0.500000)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(2.000000, 0.000000, 0.500000)TTTT(-0.428571, 0.000000, 0.500000)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 2:HHHH[0]TTTT(4.000000, 0.000000, 0.500000)TTTT(-0.142857, 0.000000, 0.500000)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(-1.000000, 0.000000, 0.500000)TTTT(-0.857143, 0.000000, 0.500000)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 3:HHHH[0]TTTT(-2.000000, 0.000000, 0.500000)TTTT(-1.000000, 0.000000, 0.500000)TTTT1cTTTT(0.000000, 0.000000, 0.500000)HHHHGGGG$Splitting of Wyckoff position 1b: 2n 2n 2n 1bHHHHOrbit 0:HHHH[0]TTTT(0.000000, 0.500000, 0.000000)TTTT(-0.714286, 0.500000, 0.000000)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(3.000000, 0.500000, 0.000000)TTTT(-0.285714, 0.500000, 0.000000)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 1:HHHH[0]TTTT(1.000000, 0.500000, 0.000000)TTTT(-0.571429, 0.500000, 0.000000)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(2.000000, 0.500000, 0.000000)TTTT(-0.428571, 0.500000, 0.000000)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 2:HHHH[0]TTTT(4.000000, 0.500000, 0.000000)TTTT(-0.142857, 0.500000, 0.000000)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(-1.000000, 0.500000, 0.000000)TTTT(-0.857143, 0.500000, 0.000000)TTTT2nTTTT(-x, 0.500000, -z)HHHHOrbit 3:HHHH[0]TTTT(-2.000000, 0.500000, 0.000000)TTTT(-1.000000, 0.500000, 0.000000)TTTT1bTTTT(0.000000, 0.500000, 0.000000)HHHHGGGG$Splitting of Wyckoff position 1a: 2m 2m 2m 1aHHHHOrbit 0:HHHH[0]TTTT(0.000000, 0.000000, 0.000000)TTTT(-0.714286, 0.000000, 0.000000)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(3.000000, 0.000000, 0.000000)TTTT(-0.285714, 0.000000, 0.000000)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 1:HHHH[0]TTTT(1.000000, 0.000000, 0.000000)TTTT(-0.571429, 0.000000, 0.000000)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(2.000000, 0.000000, 0.000000)TTTT(-0.428571, 0.000000, 0.000000)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 2:HHHH[0]TTTT(4.000000, 0.000000, 0.000000)TTTT(-0.142857, 0.000000, 0.000000)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(-1.000000, 0.000000, 0.000000)TTTT(-0.857143, 0.000000, 0.000000)TTTT2mTTTT(-x, 0.000000, -z)HHHHOrbit 3:HHHH[0]TTTT(-2.000000, 0.000000, 0.000000)TTTT(-1.000000, 0.000000, 0.000000)TTTT1aTTTT(0.000000, 0.000000, 0.000000)HHHHGGGG&{{4, o}, {2, n}, {2, m}, {2, l}, {2, k}, {2, j}, {2, i}, {1, h}, {1, g}, {1, f}, {1, e}, {1, d}, {1, c}, {1, b}, {1, a}}${{{4, o}, {4, o}, {4, o}, {4, o}, {4, o}, {4, o}, {4, o}}, {{2, n}, {2, n}, {2, n}, {2, n}, {2, n}, {2, n}, {2, n}}, {{2, m}, {2, m}, {2, m}, {2, m}, {2, m}, {2, m}, {2, m}}, {{4, o}, {2, l}, {4, o}, {4, o}}, {{4, o}, {4, o}, {4, o}, {2, k}}, {{4, o}, {2, j}, {4, o}, {4, o}}, {{4, o}, {4, o}, {4, o}, {2, i}}, {{2, n}, {1, h}, {2, n}, {2, n}}, {{2, m}, {1, g}, {2, m}, {2, m}}, {{2, n}, {2, n}, {2, n}, {1, f}}, {{2, n}, {1, e}, {2, n}, {2, n}}, {{2, m}, {1, d}, {2, m}, {2, m}}, {{2, m}, {2, m}, {2, m}, {1, c}}, {{2, n}, {2, n}, {2, n}, {1, b}}, {{2, m}, {2, m}, {2, m}, {1, a}}}${{{{x, y, z}, {3 - x, y, -z}, {3 - x, -y, -z}, {x, -y, z}}, {{1 + x, y, z}, {2 - x, y, -z}, {2 - x, -y, -z}, {1 + x, -y, z}}, {{2 + x, y, z}, {1 - x, y, -z}, {1 - x, -y, -z}, {2 + x, -y, z}}, {{3 + x, y, z}, {-x, y, -z}, {-x, -y, -z}, {3 + x, -y, z}}, {{4 + x, y, z}, {-1 - x, y, -z}, {-1 - x, -y, -z}, {4 + x, -y, z}}, {{-2 + x, y, z}, {-2 - x, y, -z}, {-2 - x, -y, -z}, {-2 + x, -y, z}}, {{-1 + x, y, z}, {4 - x, y, -z}, {4 - x, -y, -z}, {-1 + x, -y, z}}}, {{{x, 1/2, z}, {3 - x, 1/2, -z}}, {{1 + x, 1/2, z}, {2 - x, 1/2, -z}}, {{2 + x, 1/2, z}, {1 - x, 1/2, -z}}, {{3 + x, 1/2, z}, {-x, 1/2, -z}}, {{4 + x, 1/2, z}, {-1 - x, 1/2, -z}}, {{-2 + x, 1/2, z}, {-2 - x, 1/2, -z}}, {{-1 + x, 1/2, z}, {4 - x, 1/2, -z}}}, {{{x, 0, z}, {3 - x, 0, -z}}, {{1 + x, 0, z}, {2 - x, 0, -z}}, {{2 + x, 0, z}, {1 - x, 0, -z}}, {{3 + x, 0, z}, {-x, 0, -z}}, {{4 + x, 0, z}, {-1 - x, 0, -z}}, {{-2 + x, 0, z}, {-2 - x, 0, -z}}, {{-1 + x, 0, z}, {4 - x, 0, -z}}}, {{{1/2, y, 1/2}, {5/2, y, 1/2}, {5/2, -y, 1/2}, {1/2, -y, 1/2}}, {{3/2, y, 1/2}, {3/2, -y, 1/2}}, {{7/2, y, 1/2}, {-1/2, y, 1/2}, {-1/2, -y, 1/2}, {7/2, -y, 1/2}}, {{9/2, y, 1/2}, {-3/2, y, 1/2}, {-3/2, -y, 1/2}, {9/2, -y, 1/2}}}, {{{0, y, 1/2}, {3, y, 1/2}, {3, -y, 1/2}, {0, -y, 1/2}}, {{1, y, 1/2}, {2, y, 1/2}, {2, -y, 1/2}, {1, -y, 1/2}}, {{4, y, 1/2}, {-1, y, 1/2}, {-1, -y, 1/2}, {4, -y, 1/2}}, {{-2, y, 1/2}, {-2, -y, 1/2}}}, {{{1/2, y, 0}, {5/2, y, 0}, {5/2, -y, 0}, {1/2, -y, 0}}, {{3/2, y, 0}, {3/2, -y, 0}}, {{7/2, y, 0}, {-1/2, y, 0}, {-1/2, -y, 0}, {7/2, -y, 0}}, {{9/2, y, 0}, {-3/2, y, 0}, {-3/2, -y, 0}, {9/2, -y, 0}}}, {{{0, y, 0}, {3, y, 0}, {3, -y, 0}, {0, -y, 0}}, {{1, y, 0}, {2, y, 0}, {2, -y, 0}, {1, -y, 0}}, {{4, y, 0}, {-1, y, 0}, {-1, -y, 0}, {4, -y, 0}}, {{-2, y, 0}, {-2, -y, 0}}}, {{{1/2, 1/2, 1/2}, {5/2, 1/2, 1/2}}, {{3/2, 1/2, 1/2}}, {{7/2, 1/2, 1/2}, {-1/2, 1/2, 1/2}}, {{9/2, 1/2, 1/2}, {-3/2, 1/2, 1/2}}}, {{{1/2, 0, 1/2}, {5/2, 0, 1/2}}, {{3/2, 0, 1/2}}, {{7/2, 0, 1/2}, {-1/2, 0, 1/2}}, {{9/2, 0, 1/2}, {-3/2, 0, 1/2}}}, {{{0, 1/2, 1/2}, {3, 1/2, 1/2}}, {{1, 1/2, 1/2}, {2, 1/2, 1/2}}, {{4, 1/2, 1/2}, {-1, 1/2, 1/2}}, {{-2, 1/2, 1/2}}}, {{{1/2, 1/2, 0}, {5/2, 1/2, 0}}, {{3/2, 1/2, 0}}, {{7/2, 1/2, 0}, {-1/2, 1/2, 0}}, {{9/2, 1/2, 0}, {-3/2, 1/2, 0}}}, {{{1/2, 0, 0}, {5/2, 0, 0}}, {{3/2, 0, 0}}, {{7/2, 0, 0}, {-1/2, 0, 0}}, {{9/2, 0, 0}, {-3/2, 0, 0}}}, {{{0, 0, 1/2}, {3, 0, 1/2}}, {{1, 0, 1/2}, {2, 0, 1/2}}, {{4, 0, 1/2}, {-1, 0, 1/2}}, {{-2, 0, 1/2}}}, {{{0, 1/2, 0}, {3, 1/2, 0}}, {{1, 1/2, 0}, {2, 1/2, 0}}, {{4, 1/2, 0}, {-1, 1/2, 0}}, {{-2, 1/2, 0}}}, {{{0, 0, 0}, {3, 0, 0}}, {{1, 0, 0}, {2, 0, 0}}, {{4, 0, 0}, {-1, 0, 0}}, {{-2, 0, 0}}}}${{{{(-5 + x)/7, y, z}, {(-2 - x)/7, y, -z}, {(-2 - x)/7, -y, -z}, {(-5 + x)/7, -y, z}}, {{(-4 + x)/7, y, z}, {(-3 - x)/7, y, -z}, {(-3 - x)/7, -y, -z}, {(-4 + x)/7, -y, z}}, {{(-3 + x)/7, y, z}, {(-4 - x)/7, y, -z}, {(-4 - x)/7, -y, -z}, {(-3 + x)/7, -y, z}}, {{(-2 + x)/7, y, z}, {(-5 - x)/7, y, -z}, {(-5 - x)/7, -y, -z}, {(-2 + x)/7, -y, z}}, {{(-1 + x)/7, y, z}, {(-6 - x)/7, y, -z}, {(-6 - x)/7, -y, -z}, {(-1 + x)/7, -y, z}}, {{(-7 + x)/7, y, z}, {-1 - x/7, y, -z}, {-1 - x/7, -y, -z}, {(-7 + x)/7, -y, z}}, {{(-6 + x)/7, y, z}, {(-1 - x)/7, y, -z}, {(-1 - x)/7, -y, -z}, {(-6 + x)/7, -y, z}}}, {{{(-5 + x)/7, 1/2, z}, {(-2 - x)/7, 1/2, -z}}, {{(-4 + x)/7, 1/2, z}, {(-3 - x)/7, 1/2, -z}}, {{(-3 + x)/7, 1/2, z}, {(-4 - x)/7, 1/2, -z}}, {{(-2 + x)/7, 1/2, z}, {(-5 - x)/7, 1/2, -z}}, {{(-1 + x)/7, 1/2, z}, {(-6 - x)/7, 1/2, -z}}, {{(-7 + x)/7, 1/2, z}, {-1 - x/7, 1/2, -z}}, {{(-6 + x)/7, 1/2, z}, {(-1 - x)/7, 1/2, -z}}}, {{{(-5 + x)/7, 0, z}, {(-2 - x)/7, 0, -z}}, {{(-4 + x)/7, 0, z}, {(-3 - x)/7, 0, -z}}, {{(-3 + x)/7, 0, z}, {(-4 - x)/7, 0, -z}}, {{(-2 + x)/7, 0, z}, {(-5 - x)/7, 0, -z}}, {{(-1 + x)/7, 0, z}, {(-6 - x)/7, 0, -z}}, {{(-7 + x)/7, 0, z}, {-1 - x/7, 0, -z}}, {{(-6 + x)/7, 0, z}, {(-1 - x)/7, 0, -z}}}, {{{-9/14, y, 1/2}, {-5/14, y, 1/2}, {-5/14, -y, 1/2}, {-9/14, -y, 1/2}}, {{-1/2, y, 1/2}, {-1/2, -y, 1/2}}, {{-3/14, y, 1/2}, {-11/14, y, 1/2}, {-11/14, -y, 1/2}, {-3/14, -y, 1/2}}, {{-1/14, y, 1/2}, {-13/14, y, 1/2}, {-13/14, -y, 1/2}, {-1/14, -y, 1/2}}}, {{{-5/7, y, 1/2}, {-2/7, y, 1/2}, {-2/7, -y, 1/2}, {-5/7, -y, 1/2}}, {{-4/7, y, 1/2}, {-3/7, y, 1/2}, {-3/7, -y, 1/2}, {-4/7, -y, 1/2}}, {{-1/7, y, 1/2}, {-6/7, y, 1/2}, {-6/7, -y, 1/2}, {-1/7, -y, 1/2}}, {{-1, y, 1/2}, {-1, -y, 1/2}}}, {{{-9/14, y, 0}, {-5/14, y, 0}, {-5/14, -y, 0}, {-9/14, -y, 0}}, {{-1/2, y, 0}, {-1/2, -y, 0}}, {{-3/14, y, 0}, {-11/14, y, 0}, {-11/14, -y, 0}, {-3/14, -y, 0}}, {{-1/14, y, 0}, {-13/14, y, 0}, {-13/14, -y, 0}, {-1/14, -y, 0}}}, {{{-5/7, y, 0}, {-2/7, y, 0}, {-2/7, -y, 0}, {-5/7, -y, 0}}, {{-4/7, y, 0}, {-3/7, y, 0}, {-3/7, -y, 0}, {-4/7, -y, 0}}, {{-1/7, y, 0}, {-6/7, y, 0}, {-6/7, -y, 0}, {-1/7, -y, 0}}, {{-1, y, 0}, {-1, -y, 0}}}, {{{-9/14, 1/2, 1/2}, {-5/14, 1/2, 1/2}}, {{-1/2, 1/2, 1/2}}, {{-3/14, 1/2, 1/2}, {-11/14, 1/2, 1/2}}, {{-1/14, 1/2, 1/2}, {-13/14, 1/2, 1/2}}}, {{{-9/14, 0, 1/2}, {-5/14, 0, 1/2}}, {{-1/2, 0, 1/2}}, {{-3/14, 0, 1/2}, {-11/14, 0, 1/2}}, {{-1/14, 0, 1/2}, {-13/14, 0, 1/2}}}, {{{-5/7, 1/2, 1/2}, {-2/7, 1/2, 1/2}}, {{-4/7, 1/2, 1/2}, {-3/7, 1/2, 1/2}}, {{-1/7, 1/2, 1/2}, {-6/7, 1/2, 1/2}}, {{-1, 1/2, 1/2}}}, {{{-9/14, 1/2, 0}, {-5/14, 1/2, 0}}, {{-1/2, 1/2, 0}}, {{-3/14, 1/2, 0}, {-11/14, 1/2, 0}}, {{-1/14, 1/2, 0}, {-13/14, 1/2, 0}}}, {{{-9/14, 0, 0}, {-5/14, 0, 0}}, {{-1/2, 0, 0}}, {{-3/14, 0, 0}, {-11/14, 0, 0}}, {{-1/14, 0, 0}, {-13/14, 0, 0}}}, {{{-5/7, 0, 1/2}, {-2/7, 0, 1/2}}, {{-4/7, 0, 1/2}, {-3/7, 0, 1/2}}, {{-1/7, 0, 1/2}, {-6/7, 0, 1/2}}, {{-1, 0, 1/2}}}, {{{-5/7, 1/2, 0}, {-2/7, 1/2, 0}}, {{-4/7, 1/2, 0}, {-3/7, 1/2, 0}}, {{-1/7, 1/2, 0}, {-6/7, 1/2, 0}}, {{-1, 1/2, 0}}}, {{{-5/7, 0, 0}, {-2/7, 0, 0}}, {{-4/7, 0, 0}, {-3/7, 0, 0}}, {{-1/7, 0, 0}, {-6/7, 0, 0}}, {{-1, 0, 0}}}}${{{{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}}, {{{x, 1/2, z}, {-x, 1/2, -z}}, {{x, 1/2, z}, {-x, 1/2, -z}}, {{x, 1/2, z}, {-x, 1/2, -z}}, {{x, 1/2, z}, {-x, 1/2, -z}}, {{x, 1/2, z}, {-x, 1/2, -z}}, {{x, 1/2, z}, {-x, 1/2, -z}}, {{x, 1/2, z}, {-x, 1/2, -z}}}, {{{x, 0, z}, {-x, 0, -z}}, {{x, 0, z}, {-x, 0, -z}}, {{x, 0, z}, {-x, 0, -z}}, {{x, 0, z}, {-x, 0, -z}}, {{x, 0, z}, {-x, 0, -z}}, {{x, 0, z}, {-x, 0, -z}}, {{x, 0, z}, {-x, 0, -z}}}, {{{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{1/2, y, 1/2}, {1/2, -y, 1/2}}, {{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}}, {{{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{0, y, 1/2}, {0, -y, 1/2}}}, {{{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{1/2, y, 0}, {1/2, -y, 0}}, {{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}}, {{{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{x, y, z}, {-x, y, -z}, {-x, -y, -z}, {x, -y, z}}, {{0, y, 0}, {0, -y, 0}}}, {{{x, 1/2, z}, {-x, 1/2, -z}}, {{1/2, 1/2, 1/2}}, {{x, 1/2, z}, {-x, 1/2, -z}}, {{x, 1/2, z}, {-x, 1/2, -z}}}, {{{x, 0, z}, {-x, 0, -z}}, {{1/2, 0, 1/2}}, {{x, 0, z}, {-x, 0, -z}}, {{x, 0, z}, {-x, 0, -z}}}, {{{x, 1/2, z}, {-x, 1/2, -z}}, {{x, 1/2, z}, {-x, 1/2, -z}}, {{x, 1/2, z}, {-x, 1/2, -z}}, {{0, 1/2, 1/2}}}, {{{x, 1/2, z}, {-x, 1/2, -z}}, {{1/2, 1/2, 0}}, {{x, 1/2, z}, {-x, 1/2, -z}}, {{x, 1/2, z}, {-x, 1/2, -z}}}, {{{x, 0, z}, {-x, 0, -z}}, {{1/2, 0, 0}}, {{x, 0, z}, {-x, 0, -z}}, {{x, 0, z}, {-x, 0, -z}}}, {{{x, 0, z}, {-x, 0, -z}}, {{x, 0, z}, {-x, 0, -z}}, {{x, 0, z}, {-x, 0, -z}}, {{0, 0, 1/2}}}, {{{x, 1/2, z}, {-x, 1/2, -z}}, {{x, 1/2, z}, {-x, 1/2, -z}}, {{x, 1/2, z}, {-x, 1/2, -z}}, {{0, 1/2, 0}}}, {{{x, 0, z}, {-x, 0, -z}}, {{x, 0, z}, {-x, 0, -z}}, {{x, 0, z}, {-x, 0, -z}}, {{0, 0, 0}}}}&OK! (#)

Listed with respect to the BNS setting:


Listed with respect to the OG setting:



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