OpenWrite::noopen: Cannot open /stmp/mathematica/tmp_250122.txt. Content-type: text/html MGROUPS
Bilbao Crystallographic Server arrow SUBGROUPS Help

The magnetic space groups derived from the Fedorov space group: 015b > 015b (id = 28693)HHHHRead tr. matrix for the supergroup from /tmp/wp-supertrm28693.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-subtrm28693.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-trm28693.trnHHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 1.000000 0.000000 0.000000 HHHH-2.000000 0.000000 7.000000 5.000000 HHHHTransformation matrix:HHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 1.000000 0.000000 0.000000 HHHH-2.000000 0.000000 7.000000 5.000000 HHHHdeterminant: 7.000000(det-ONE=6.000000)HHHHInverted of the transformation matrix:HHHH1.000000 0.000000 0.000000 -1.428571 HHHH0.000000 1.000000 0.000000 0.000000 HHHH0.285714 0.000000 0.142857 -0.714286 HHHHSubgroup generators: 3, general positions: 8HHHH(x,y,z)HHHH(0.500000 +x, 0.500000 +y,z)HHHH(-x,y, 0.500000 - z)HHHH(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH(-x, -y, -z)HHHH(0.500000 - x, 0.500000 - y, -z)HHHH(x, -y, 0.500000 +z)HHHH(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHSubgroup Wyckoff positions:HHHHList of Wyckoff positions:HHHHOrbit No:0HHHHMultiplicity:8HHHHLetter:fHHHH(x,y,z)HHHH(0.500000 +x, 0.500000 +y,z)HHHH(-x,y, 0.500000 - z)HHHH(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH(-x, -y, -z)HHHH(0.500000 - x, 0.500000 - y, -z)HHHH(x, -y, 0.500000 +z)HHHH(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit No:1HHHHMultiplicity:4HHHHLetter:eHHHH(0.000000,y, 0.250000)HHHH(0.500000, 0.500000 +y, 0.250000)HHHH(0.000000, -y, 0.750000)HHHH(0.500000, 0.500000 - y, 0.750000)HHHHOrbit No:2HHHHMultiplicity:4HHHHLetter:dHHHH(0.250000, 0.250000, 0.500000)HHHH(0.750000, 0.750000, 0.500000)HHHH(0.750000, 0.250000, 0.000000)HHHH(1.250000, 0.750000, 0.000000)HHHHOrbit No:3HHHHMultiplicity:4HHHHLetter:cHHHH(0.250000, 0.250000, 0.000000)HHHH(0.750000, 0.750000, 0.000000)HHHH(0.750000, 0.250000, 0.500000)HHHH(1.250000, 0.750000, 0.500000)HHHHOrbit No:4HHHHMultiplicity:4HHHHLetter:bHHHH(0.000000, 0.500000, 0.000000)HHHH(0.500000, 1.000000, 0.000000)HHHH(0.000000, 0.500000, 0.500000)HHHH(0.500000, 1.000000, 0.500000)HHHHOrbit No:5HHHHMultiplicity:4HHHHLetter:aHHHH(0.000000, 0.000000, 0.000000)HHHH(0.500000, 0.500000, 0.000000)HHHH(0.000000, 0.000000, 0.500000)HHHH(0.500000, 0.500000, 0.500000)HHHHtr. matrix:(x - 2.000000z,y, 5.000000 + 7.000000z)HHHHdet = 7.000000HHHHSupergroup is transformed to unconventional setting.HHHHtake memory for 9 cells.HHHHtr. matrix:(x - 2.000000z,y, 5.000000 + 7.000000z)HHHHNumber of gen. pos. = 8, det = 7.000000. New number of general positions: 56HHHHchange the basis with the matrix (x - 2.000000z,y, 5.000000 + 7.000000z)HHHHAfter checking group we obtain 56 elementsHHHH000HHHHBefore expanding:HHHH(x,y,z)HHHH(-x,y, 0.642857 - z)HHHH(-x, -y, 0.571429 - z)HHHH(x, -y, 0.071429 +z)HHHH(0.500000 +x, 0.500000 +y, 0.142857 +z)HHHH(0.500000 - x, 0.500000 +y, 0.785714 - z)HHHH(0.500000 - x, 0.500000 - y, 0.714286 - z)HHHH(0.500000 +x, 0.500000 - y, 0.214286 +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(x,y, 0.142857 +z)HHHH(x,y, 0.285714 +z)HHHH(x,y, 0.428571 +z)HHHH(x,y, 0.571429 +z)HHHH(x,y, 0.714286 +z)HHHH(x,y, 0.857143 +z)HHHH(0.500000 +x, 0.500000 +y,z)HHHH(0.500000 +x, 0.500000 +y, 0.142857 +z)HHHH(0.500000 +x, 0.500000 +y, 0.285714 +z)HHHH(0.500000 +x, 0.500000 +y, 0.428571 +z)HHHH(0.500000 +x, 0.500000 +y, 0.571429 +z)HHHH(0.500000 +x, 0.500000 +y, 0.714286 +z)HHHH(0.500000 +x, 0.500000 +y, 0.857143 +z)HHHH(-x,y, 0.642857 - z)HHHH(-x,y, 0.785714 - z)HHHH(-x,y, 0.928571 - z)HHHH(-x,y, 0.071429 - z)HHHH(-x,y, 0.214286 - z)HHHH(-x,y, 0.357143 - z)HHHH(-x,y, 0.500000 - z)HHHH(0.500000 - x, 0.500000 +y, 0.642857 - z)HHHH(0.500000 - x, 0.500000 +y, 0.785714 - z)HHHH(0.500000 - x, 0.500000 +y, 0.928571 - z)HHHH(0.500000 - x, 0.500000 +y, 0.071429 - z)HHHH(0.500000 - x, 0.500000 +y, 0.214286 - z)HHHH(0.500000 - x, 0.500000 +y, 0.357143 - z)HHHH(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH(-x, -y, 0.571429 - z)HHHH(-x, -y, 0.714286 - z)HHHH(-x, -y, 0.857143 - z)HHHH(-x, -y, -z)HHHH(-x, -y, 0.142857 - z)HHHH(-x, -y, 0.285714 - z)HHHH(-x, -y, 0.428571 - z)HHHH(0.500000 - x, 0.500000 - y, 0.571429 - z)HHHH(0.500000 - x, 0.500000 - y, 0.714286 - z)HHHH(0.500000 - x, 0.500000 - y, 0.857143 - z)HHHH(0.500000 - x, 0.500000 - y, -z)HHHH(0.500000 - x, 0.500000 - y, 0.142857 - z)HHHH(0.500000 - x, 0.500000 - y, 0.285714 - z)HHHH(0.500000 - x, 0.500000 - y, 0.428571 - z)HHHH(x, -y, 0.071429 +z)HHHH(x, -y, 0.214286 +z)HHHH(x, -y, 0.357143 +z)HHHH(x, -y, 0.500000 +z)HHHH(x, -y, 0.642857 +z)HHHH(x, -y, 0.785714 +z)HHHH(x, -y, 0.928571 +z)HHHH(0.500000 +x, 0.500000 - y, 0.071429 +z)HHHH(0.500000 +x, 0.500000 - y, 0.214286 +z)HHHH(0.500000 +x, 0.500000 - y, 0.357143 +z)HHHH(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH(0.500000 +x, 0.500000 - y, 0.642857 +z)HHHH(0.500000 +x, 0.500000 - y, 0.785714 +z)HHHH(0.500000 +x, 0.500000 - y, 0.928571 +z)HHHH000HHHHSupergroup is transformed (56 gen.pos.)->return the new group.HHHH(x,y,z)HHHH(x,y, 0.142857 +z)HHHH(x,y, 0.285714 +z)HHHH(x,y, 0.428571 +z)HHHH(x,y, 0.571429 +z)HHHH(x,y, 0.714286 +z)HHHH(x,y, 0.857143 +z)HHHH(0.500000 +x, 0.500000 +y,z)HHHH(0.500000 +x, 0.500000 +y, 0.142857 +z)HHHH(0.500000 +x, 0.500000 +y, 0.285714 +z)HHHH(0.500000 +x, 0.500000 +y, 0.428571 +z)HHHH(0.500000 +x, 0.500000 +y, 0.571429 +z)HHHH(0.500000 +x, 0.500000 +y, 0.714286 +z)HHHH(0.500000 +x, 0.500000 +y, 0.857143 +z)HHHH(-x,y, 0.642857 - z)HHHH(-x,y, 0.785714 - z)HHHH(-x,y, 0.928571 - z)HHHH(-x,y, 0.071429 - z)HHHH(-x,y, 0.214286 - z)HHHH(-x,y, 0.357143 - z)HHHH(-x,y, 0.500000 - z)HHHH(0.500000 - x, 0.500000 +y, 0.642857 - z)HHHH(0.500000 - x, 0.500000 +y, 0.785714 - z)HHHH(0.500000 - x, 0.500000 +y, 0.928571 - z)HHHH(0.500000 - x, 0.500000 +y, 0.071429 - z)HHHH(0.500000 - x, 0.500000 +y, 0.214286 - z)HHHH(0.500000 - x, 0.500000 +y, 0.357143 - z)HHHH(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH(-x, -y, 0.571429 - z)HHHH(-x, -y, 0.714286 - z)HHHH(-x, -y, 0.857143 - z)HHHH(-x, -y, -z)HHHH(-x, -y, 0.142857 - z)HHHH(-x, -y, 0.285714 - z)HHHH(-x, -y, 0.428571 - z)HHHH(0.500000 - x, 0.500000 - y, 0.571429 - z)HHHH(0.500000 - x, 0.500000 - y, 0.714286 - z)HHHH(0.500000 - x, 0.500000 - y, 0.857143 - z)HHHH(0.500000 - x, 0.500000 - y, -z)HHHH(0.500000 - x, 0.500000 - y, 0.142857 - z)HHHH(0.500000 - x, 0.500000 - y, 0.285714 - z)HHHH(0.500000 - x, 0.500000 - y, 0.428571 - z)HHHH(x, -y, 0.071429 +z)HHHH(x, -y, 0.214286 +z)HHHH(x, -y, 0.357143 +z)HHHH(x, -y, 0.500000 +z)HHHH(x, -y, 0.642857 +z)HHHH(x, -y, 0.785714 +z)HHHH(x, -y, 0.928571 +z)HHHH(0.500000 +x, 0.500000 - y, 0.071429 +z)HHHH(0.500000 +x, 0.500000 - y, 0.214286 +z)HHHH(0.500000 +x, 0.500000 - y, 0.357143 +z)HHHH(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH(0.500000 +x, 0.500000 - y, 0.642857 +z)HHHH(0.500000 +x, 0.500000 - y, 0.785714 +z)HHHH(0.500000 +x, 0.500000 - y, 0.928571 +z)HHHHSupergroup is transformed to the subgroup basis. there are 56 general positionsHHHHSupergroup generators: xxx, general positions:56HHHHSubgroup basis:HHHH(x,y,z)HHHH(x,y, 0.142857 +z)HHHH(x,y, 0.285714 +z)HHHH(x,y, 0.428571 +z)HHHH(x,y, 0.571429 +z)HHHH(x,y, 0.714286 +z)HHHH(x,y, 0.857143 +z)HHHH(0.500000 +x, 0.500000 +y,z)HHHH(0.500000 +x, 0.500000 +y, 0.142857 +z)HHHH(0.500000 +x, 0.500000 +y, 0.285714 +z)HHHH(0.500000 +x, 0.500000 +y, 0.428571 +z)HHHH(0.500000 +x, 0.500000 +y, 0.571429 +z)HHHH(0.500000 +x, 0.500000 +y, 0.714286 +z)HHHH(0.500000 +x, 0.500000 +y, 0.857143 +z)HHHH(-x,y, 0.642857 - z)HHHH(-x,y, 0.785714 - z)HHHH(-x,y, 0.928571 - z)HHHH(-x,y, 0.071429 - z)HHHH(-x,y, 0.214286 - z)HHHH(-x,y, 0.357143 - z)HHHH(-x,y, 0.500000 - z)HHHH(0.500000 - x, 0.500000 +y, 0.642857 - z)HHHH(0.500000 - x, 0.500000 +y, 0.785714 - z)HHHH(0.500000 - x, 0.500000 +y, 0.928571 - z)HHHH(0.500000 - x, 0.500000 +y, 0.071429 - z)HHHH(0.500000 - x, 0.500000 +y, 0.214286 - z)HHHH(0.500000 - x, 0.500000 +y, 0.357143 - z)HHHH(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH(-x, -y, 0.571429 - z)HHHH(-x, -y, 0.714286 - z)HHHH(-x, -y, 0.857143 - z)HHHH(-x, -y, -z)HHHH(-x, -y, 0.142857 - z)HHHH(-x, -y, 0.285714 - z)HHHH(-x, -y, 0.428571 - z)HHHH(0.500000 - x, 0.500000 - y, 0.571429 - z)HHHH(0.500000 - x, 0.500000 - y, 0.714286 - z)HHHH(0.500000 - x, 0.500000 - y, 0.857143 - z)HHHH(0.500000 - x, 0.500000 - y, -z)HHHH(0.500000 - x, 0.500000 - y, 0.142857 - z)HHHH(0.500000 - x, 0.500000 - y, 0.285714 - z)HHHH(0.500000 - x, 0.500000 - y, 0.428571 - z)HHHH(x, -y, 0.071429 +z)HHHH(x, -y, 0.214286 +z)HHHH(x, -y, 0.357143 +z)HHHH(x, -y, 0.500000 +z)HHHH(x, -y, 0.642857 +z)HHHH(x, -y, 0.785714 +z)HHHH(x, -y, 0.928571 +z)HHHH(0.500000 +x, 0.500000 - y, 0.071429 +z)HHHH(0.500000 +x, 0.500000 - y, 0.214286 +z)HHHH(0.500000 +x, 0.500000 - y, 0.357143 +z)HHHH(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH(0.500000 +x, 0.500000 - y, 0.642857 +z)HHHH(0.500000 +x, 0.500000 - y, 0.785714 +z)HHHH(0.500000 +x, 0.500000 - y, 0.928571 +z)HHHHnumber of cells: 1HHHH000HHHHSupergroup Wyckoff positions:HHHHOwn basis.HHHHList of Wyckoff positions:HHHHOrbit No:0HHHHMultiplicity:8HHHHLetter:fHHHH(x,y,z)HHHHOrbit No:1HHHHMultiplicity:4HHHHLetter:eHHHH(0.000000,y, 0.250000)HHHHOrbit No:2HHHHMultiplicity:4HHHHLetter:dHHHH(0.250000, 0.250000, 0.500000)HHHHOrbit No:3HHHHMultiplicity:4HHHHLetter:cHHHH(0.250000, 0.250000, 0.000000)HHHHOrbit No:4HHHHMultiplicity:4HHHHLetter:bHHHH(0.000000, 0.500000, 0.000000)HHHHOrbit No:5HHHHMultiplicity:4HHHHLetter:aHHHH(0.000000, 0.000000, 0.000000)HHHHSubgroup basis.HHHHList of Wyckoff positions:HHHHOrbit No:0HHHHMultiplicity:8HHHHLetter:fHHHH(2.000000 +x + 0.285714 (-5.000000 +z),y, 1.000000 + 0.142857 (-5.000000 +z))HHHHOrbit No:1HHHHMultiplicity:4HHHHLetter:eHHHH(0.642857,y, 0.321429)HHHHOrbit No:2HHHHMultiplicity:4HHHHLetter:dHHHH(0.964286, 0.250000, 0.357143)HHHHOrbit No:3HHHHMultiplicity:4HHHHLetter:cHHHH(0.821429, 0.250000, 0.285714)HHHHOrbit No:4HHHHMultiplicity:4HHHHLetter:bHHHH(0.571429, 0.500000, 0.285714)HHHHOrbit No:5HHHHMultiplicity:4HHHHLetter:aHHHH(0.571429, 0.000000, 0.285714)HHHHindex : 7HHHHSplitting of the general position of the supergroup...HHHHThe general position splits into 7 suborbits.HHHH&Splitting of all positions:HHHHGGGG8f: 8f 8f 8f 8f 8f 8f 8fHHHH4e: 8f 8f 8f 4eHHHH4d: 8f 8f 8f 4cHHHH4c: 8f 4d 8f 8fHHHH4b: 8f 8f 8f 4bHHHH4a: 8f 8f 8f 4aHHHH&Splitting of Wyckoff position 8f: 8f 8f 8f 8f 8f 8f 8fHHHHOrbit 0:HHHH[0]TTTT(x,y,z)TTTT(x,y, 0.142857 (-5.000000 + 2.000000x +z))TTTT8fTTTT(x,y,z)HHHH[1]TTTT(-x,y, -0.500000 - z)TTTT(-x,y, 0.071429 (-11.000000 - 4.000000x - 2.000000z))TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(-x, -y, 3.000000 - z)TTTT(-x, -y, 0.142857 (-2.000000 - 2.000000x - z))TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(x, -y, 3.500000 +z)TTTT(x, -y, 0.071429 (-3.000000 + 4.000000x + 2.000000z))TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000 +x, 0.500000 +y, -1.000000 +z)TTTT(0.500000 +x, 0.500000 +y, 0.142857 (-5.000000 + 2.000000x +z))TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000 - x, 0.500000 +y, -1.500000 - z)TTTT(0.500000 - x, 0.500000 +y, 0.071429 (-11.000000 - 4.000000x - 2.000000z))TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000 - x, 0.500000 - y, 2.000000 - z)TTTT(0.500000 - x, 0.500000 - y, 0.142857 (-2.000000 - 2.000000x - z))TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000 +x, 0.500000 - y, 2.500000 +z)TTTT(0.500000 +x, 0.500000 - y, 0.071429 (-3.000000 + 4.000000x + 2.000000z))TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 1:HHHH[0]TTTT(x,y, 1.000000 +z)TTTT(x,y, 0.142857 (-4.000000 + 2.000000x +z))TTTT8fTTTT(x,y,z)HHHH[1]TTTT(-x,y, -1.500000 - z)TTTT(-x,y, 0.071429 (-13.000000 - 4.000000x - 2.000000z))TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(-x, -y, 2.000000 - z)TTTT(-x, -y, 0.142857 (-3.000000 - 2.000000x - z))TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(x, -y, 4.500000 +z)TTTT(x, -y, 0.071429 (-1.000000 + 4.000000x + 2.000000z))TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000 +x, 0.500000 +y,z)TTTT(0.500000 +x, 0.500000 +y, 0.142857 (-4.000000 + 2.000000x +z))TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000 - x, 0.500000 +y, -2.500000 - z)TTTT(0.500000 - x, 0.500000 +y, 0.071429 (-13.000000 - 4.000000x - 2.000000z))TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000 - x, 0.500000 - y, 1.000000 - z)TTTT(0.500000 - x, 0.500000 - y, 0.142857 (-3.000000 - 2.000000x - z))TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000 +x, 0.500000 - y, 3.500000 +z)TTTT(0.500000 +x, 0.500000 - y, 0.071429 (-1.000000 + 4.000000x + 2.000000z))TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 2:HHHH[0]TTTT(x,y, 2.000000 +z)TTTT(x,y, 0.142857 (-3.000000 + 2.000000x +z))TTTT8fTTTT(x,y,z)HHHH[1]TTTT(-x,y, 4.500000 - z)TTTT(-x,y, 0.071429 (-1.000000 - 4.000000x - 2.000000z))TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(-x, -y, 1.000000 - z)TTTT(-x, -y, 0.142857 (-4.000000 - 2.000000x - z))TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(x, -y, -1.500000 +z)TTTT(x, -y, 0.071429 (-13.000000 + 4.000000x + 2.000000z))TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000 +x, 0.500000 +y, 1.000000 +z)TTTT(0.500000 +x, 0.500000 +y, 0.142857 (-3.000000 + 2.000000x +z))TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000 - x, 0.500000 +y, 3.500000 - z)TTTT(0.500000 - x, 0.500000 +y, 0.071429 (-1.000000 - 4.000000x - 2.000000z))TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000 - x, 0.500000 - y, -z)TTTT(0.500000 - x, 0.500000 - y, 0.142857 (-4.000000 - 2.000000x - z))TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000 +x, 0.500000 - y, -2.500000 +z)TTTT(0.500000 +x, 0.500000 - y, 0.071429 (-13.000000 + 4.000000x + 2.000000z))TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 3:HHHH[0]TTTT(x,y, 3.000000 +z)TTTT(x,y, 0.142857 (-2.000000 + 2.000000x +z))TTTT8fTTTT(x,y,z)HHHH[1]TTTT(-x,y, 3.500000 - z)TTTT(-x,y, 0.071429 (-3.000000 - 4.000000x - 2.000000z))TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(-x, -y, -z)TTTT(-x, -y, 0.142857 (-5.000000 - 2.000000x - z))TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(x, -y, -0.500000 +z)TTTT(x, -y, 0.071429 (-11.000000 + 4.000000x + 2.000000z))TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000 +x, 0.500000 +y, 2.000000 +z)TTTT(0.500000 +x, 0.500000 +y, 0.142857 (-2.000000 + 2.000000x +z))TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000 - x, 0.500000 +y, 2.500000 - z)TTTT(0.500000 - x, 0.500000 +y, 0.071429 (-3.000000 - 4.000000x - 2.000000z))TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000 - x, 0.500000 - y, -1.000000 - z)TTTT(0.500000 - x, 0.500000 - y, 0.142857 (-5.000000 - 2.000000x - z))TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000 +x, 0.500000 - y, -1.500000 +z)TTTT(0.500000 +x, 0.500000 - y, 0.071429 (-11.000000 + 4.000000x + 2.000000z))TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 4:HHHH[0]TTTT(x,y, 4.000000 +z)TTTT(x,y, 0.142857 (-1.000000 + 2.000000x +z))TTTT8fTTTT(x,y,z)HHHH[1]TTTT(-x,y, 2.500000 - z)TTTT(-x,y, 0.071429 (-5.000000 - 4.000000x - 2.000000z))TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(-x, -y, -1.000000 - z)TTTT(-x, -y, 0.142857 (-6.000000 - 2.000000x - z))TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(x, -y, 0.500000 +z)TTTT(x, -y, 0.071429 (-9.000000 + 4.000000x + 2.000000z))TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000 +x, 0.500000 +y, 3.000000 +z)TTTT(0.500000 +x, 0.500000 +y, 0.142857 (-1.000000 + 2.000000x +z))TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000 - x, 0.500000 +y, 1.500000 - z)TTTT(0.500000 - x, 0.500000 +y, 0.071429 (-5.000000 - 4.000000x - 2.000000z))TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000 - x, 0.500000 - y, -2.000000 - z)TTTT(0.500000 - x, 0.500000 - y, 0.142857 (-6.000000 - 2.000000x - z))TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000 +x, 0.500000 - y, -0.500000 +z)TTTT(0.500000 +x, 0.500000 - y, 0.071429 (-9.000000 + 4.000000x + 2.000000z))TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 5:HHHH[0]TTTT(x,y, -2.000000 +z)TTTT(x,y, 0.142857 (-7.000000 + 2.000000x +z))TTTT8fTTTT(x,y,z)HHHH[1]TTTT(-x,y, 1.500000 - z)TTTT(-x,y, 0.071429 (-7.000000 - 4.000000x - 2.000000z))TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(-x, -y, -2.000000 - z)TTTT(-x, -y, 0.142857 (-7.000000 - 2.000000x - z))TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(x, -y, 1.500000 +z)TTTT(x, -y, 0.071429 (-7.000000 + 4.000000x + 2.000000z))TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000 +x, 0.500000 +y, -3.000000 +z)TTTT(0.500000 +x, 0.500000 +y, 0.142857 (-7.000000 + 2.000000x +z))TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)TTTT(0.500000 - x, 0.500000 +y, 0.071429 (-7.000000 - 4.000000x - 2.000000z))TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000 - x, 0.500000 - y, -3.000000 - z)TTTT(0.500000 - x, 0.500000 - y, 0.142857 (-7.000000 - 2.000000x - z))TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)TTTT(0.500000 +x, 0.500000 - y, 0.071429 (-7.000000 + 4.000000x + 2.000000z))TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 6:HHHH[0]TTTT(x,y, -1.000000 +z)TTTT(x,y, 0.142857 (-6.000000 + 2.000000x +z))TTTT8fTTTT(x,y,z)HHHH[1]TTTT(-x,y, 0.500000 - z)TTTT(-x,y, 0.071429 (-9.000000 - 4.000000x - 2.000000z))TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(-x, -y, 4.000000 - z)TTTT(-x, -y, 0.142857 (-1.000000 - 2.000000x - z))TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(x, -y, 2.500000 +z)TTTT(x, -y, 0.071429 (-5.000000 + 4.000000x + 2.000000z))TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000 +x, 0.500000 +y, -2.000000 +z)TTTT(0.500000 +x, 0.500000 +y, 0.142857 (-6.000000 + 2.000000x +z))TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000 - x, 0.500000 +y, -0.500000 - z)TTTT(0.500000 - x, 0.500000 +y, 0.071429 (-9.000000 - 4.000000x - 2.000000z))TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000 - x, 0.500000 - y, 3.000000 - z)TTTT(0.500000 - x, 0.500000 - y, 0.142857 (-1.000000 - 2.000000x - z))TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000 +x, 0.500000 - y, 1.500000 +z)TTTT(0.500000 +x, 0.500000 - y, 0.071429 (-5.000000 + 4.000000x + 2.000000z))TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHGGGG$Splitting of Wyckoff position 4e: 8f 8f 8f 4eHHHHOrbit 0:HHHH[0]TTTT(0.000000,y, 0.250000)TTTT(0.000000,y, -0.678571)TTTT8fTTTT(x,y,z)HHHH[1]TTTT(0.000000,y, -0.750000)TTTT(0.000000,y, -0.821429)TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(0.000000, -y, 2.750000)TTTT(0.000000, -y, -0.321429)TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(0.000000, -y, 3.750000)TTTT(0.000000, -y, -0.178571)TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000, 0.500000 +y, -0.750000)TTTT(0.500000, 0.500000 +y, -0.678571)TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000, 0.500000 +y, -1.750000)TTTT(0.500000, 0.500000 +y, -0.821429)TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000, 0.500000 - y, 1.750000)TTTT(0.500000, 0.500000 - y, -0.321429)TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000, 0.500000 - y, 2.750000)TTTT(0.500000, 0.500000 - y, -0.178571)TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 1:HHHH[0]TTTT(0.000000,y, 1.250000)TTTT(0.000000,y, -0.535714)TTTT8fTTTT(x,y,z)HHHH[1]TTTT(0.000000,y, -1.750000)TTTT(0.000000,y, -0.964286)TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(0.000000, -y, 1.750000)TTTT(0.000000, -y, -0.464286)TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(0.000000, -y, 4.750000)TTTT(0.000000, -y, -0.035714)TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000, 0.500000 +y, 0.250000)TTTT(0.500000, 0.500000 +y, -0.535714)TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000, 0.500000 +y, -2.750000)TTTT(0.500000, 0.500000 +y, -0.964286)TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000, 0.500000 - y, 0.750000)TTTT(0.500000, 0.500000 - y, -0.464286)TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000, 0.500000 - y, 3.750000)TTTT(0.500000, 0.500000 - y, -0.035714)TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 2:HHHH[0]TTTT(0.000000,y, 2.250000)TTTT(0.000000,y, -0.392857)TTTT8fTTTT(x,y,z)HHHH[1]TTTT(0.000000,y, 4.250000)TTTT(0.000000,y, -0.107143)TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(0.000000, -y, 0.750000)TTTT(0.000000, -y, -0.607143)TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(0.000000, -y, -1.250000)TTTT(0.000000, -y, -0.892857)TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000, 0.500000 +y, 1.250000)TTTT(0.500000, 0.500000 +y, -0.392857)TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000, 0.500000 +y, 3.250000)TTTT(0.500000, 0.500000 +y, -0.107143)TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000, 0.500000 - y, -0.250000)TTTT(0.500000, 0.500000 - y, -0.607143)TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000, 0.500000 - y, -2.250000)TTTT(0.500000, 0.500000 - y, -0.892857)TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 3:HHHH[0]TTTT(0.000000,y, 3.250000)TTTT(0.000000,y, -0.250000)TTTT4eTTTT(0.000000, -y, 0.750000)HHHH[1]TTTT(0.000000, -y, -0.250000)TTTT(0.000000, -y, -0.750000)TTTT4eTTTT(0.000000,y, 0.250000)HHHH[2]TTTT(0.500000, 0.500000 +y, 2.250000)TTTT(0.500000, 0.500000 +y, -0.250000)TTTT4eTTTT(0.500000, 0.500000 - y, 0.750000)HHHH[3]TTTT(0.500000, 0.500000 - y, -1.250000)TTTT(0.500000, 0.500000 - y, -0.750000)TTTT4eTTTT(0.500000, 0.500000 +y, 0.250000)HHHHGGGG$Splitting of Wyckoff position 4d: 8f 8f 8f 4cHHHHOrbit 0:HHHH[0]TTTT(0.250000, 0.250000, 0.500000)TTTT(0.250000, 0.250000, -0.571429)TTTT8fTTTT(x,y,z)HHHH[1]TTTT(0.750000, 0.250000, -3.000000)TTTT(0.750000, 0.250000, -0.928571)TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(0.750000, 0.750000, 0.500000)TTTT(0.750000, 0.750000, -0.428571)TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(0.250000, 0.750000, 4.000000)TTTT(0.250000, 0.750000, -0.071429)TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.750000, 0.750000, -0.500000)TTTT(0.750000, 0.750000, -0.571429)TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.250000, 0.750000, -2.000000)TTTT(0.250000, 0.750000, -0.928571)TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.250000, 0.250000, 1.500000)TTTT(0.250000, 0.250000, -0.428571)TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.750000, 0.250000, 3.000000)TTTT(0.750000, 0.250000, -0.071429)TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 1:HHHH[0]TTTT(0.250000, 0.250000, 2.500000)TTTT(0.250000, 0.250000, -0.285714)TTTT8fTTTT(x,y,z)HHHH[1]TTTT(0.750000, 0.250000, 2.000000)TTTT(0.750000, 0.250000, -0.214286)TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(0.750000, 0.750000, -1.500000)TTTT(0.750000, 0.750000, -0.714286)TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(0.250000, 0.750000, -1.000000)TTTT(0.250000, 0.750000, -0.785714)TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.750000, 0.750000, 1.500000)TTTT(0.750000, 0.750000, -0.285714)TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.250000, 0.750000, 3.000000)TTTT(0.250000, 0.750000, -0.214286)TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.250000, 0.250000, -0.500000)TTTT(0.250000, 0.250000, -0.714286)TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.750000, 0.250000, -2.000000)TTTT(0.750000, 0.250000, -0.785714)TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 2:HHHH[0]TTTT(0.250000, 0.250000, 3.500000)TTTT(0.250000, 0.250000, -0.142857)TTTT8fTTTT(x,y,z)HHHH[1]TTTT(0.750000, 0.250000, 1.000000)TTTT(0.750000, 0.250000, -0.357143)TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(0.750000, 0.750000, -2.500000)TTTT(0.750000, 0.750000, -0.857143)TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(0.250000, 0.750000, 0.000000)TTTT(0.250000, 0.750000, -0.642857)TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.750000, 0.750000, 2.500000)TTTT(0.750000, 0.750000, -0.142857)TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.250000, 0.750000, 2.000000)TTTT(0.250000, 0.750000, -0.357143)TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.250000, 0.250000, -1.500000)TTTT(0.250000, 0.250000, -0.857143)TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.750000, 0.250000, -1.000000)TTTT(0.750000, 0.250000, -0.642857)TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 3:HHHH[0]TTTT(0.250000, 0.250000, -2.500000)TTTT(0.250000, 0.250000, -1.000000)TTTT4cTTTT(0.250000, 0.250000, 0.000000)HHHH[1]TTTT(0.750000, 0.250000, 0.000000)TTTT(0.750000, 0.250000, -0.500000)TTTT4cTTTT(0.750000, 0.250000, 0.500000)HHHH[2]TTTT(0.750000, 0.750000, -3.500000)TTTT(0.750000, 0.750000, -1.000000)TTTT4cTTTT(0.750000, 0.750000, 0.000000)HHHH[3]TTTT(0.250000, 0.750000, 1.000000)TTTT(0.250000, 0.750000, -0.500000)TTTT4cTTTT(0.250000, 0.750000, 0.500000)HHHHGGGG$Splitting of Wyckoff position 4c: 8f 4d 8f 8fHHHHOrbit 0:HHHH[0]TTTT(0.250000, 0.250000, 0.000000)TTTT(0.250000, 0.250000, -0.642857)TTTT8fTTTT(x,y,z)HHHH[1]TTTT(0.750000, 0.250000, -2.500000)TTTT(0.750000, 0.250000, -0.857143)TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(0.750000, 0.750000, 1.000000)TTTT(0.750000, 0.750000, -0.357143)TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(0.250000, 0.750000, 3.500000)TTTT(0.250000, 0.750000, -0.142857)TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.750000, 0.750000, -1.000000)TTTT(0.750000, 0.750000, -0.642857)TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.250000, 0.750000, -1.500000)TTTT(0.250000, 0.750000, -0.857143)TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.250000, 0.250000, 2.000000)TTTT(0.250000, 0.250000, -0.357143)TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.750000, 0.250000, 2.500000)TTTT(0.750000, 0.250000, -0.142857)TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 1:HHHH[0]TTTT(0.250000, 0.250000, 1.000000)TTTT(0.250000, 0.250000, -0.500000)TTTT4dTTTT(0.250000, 0.250000, 0.500000)HHHH[1]TTTT(0.750000, 0.250000, -3.500000)TTTT(0.750000, 0.250000, -1.000000)TTTT4dTTTT(0.750000, 0.250000, 0.000000)HHHH[2]TTTT(0.750000, 0.750000, 0.000000)TTTT(0.750000, 0.750000, -0.500000)TTTT4dTTTT(0.750000, 0.750000, 0.500000)HHHH[3]TTTT(0.250000, 0.750000, -2.500000)TTTT(0.250000, 0.750000, -1.000000)TTTT4dTTTT(0.250000, 0.750000, 0.000000)HHHHOrbit 2:HHHH[0]TTTT(0.250000, 0.250000, 3.000000)TTTT(0.250000, 0.250000, -0.214286)TTTT8fTTTT(x,y,z)HHHH[1]TTTT(0.750000, 0.250000, 1.500000)TTTT(0.750000, 0.250000, -0.285714)TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(0.750000, 0.750000, -2.000000)TTTT(0.750000, 0.750000, -0.785714)TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(0.250000, 0.750000, -0.500000)TTTT(0.250000, 0.750000, -0.714286)TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.750000, 0.750000, 2.000000)TTTT(0.750000, 0.750000, -0.214286)TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.250000, 0.750000, 2.500000)TTTT(0.250000, 0.750000, -0.285714)TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.250000, 0.250000, -1.000000)TTTT(0.250000, 0.250000, -0.785714)TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.750000, 0.250000, -1.500000)TTTT(0.750000, 0.250000, -0.714286)TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 3:HHHH[0]TTTT(0.250000, 0.250000, 4.000000)TTTT(0.250000, 0.250000, -0.071429)TTTT8fTTTT(x,y,z)HHHH[1]TTTT(0.750000, 0.250000, 0.500000)TTTT(0.750000, 0.250000, -0.428571)TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(0.750000, 0.750000, -3.000000)TTTT(0.750000, 0.750000, -0.928571)TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(0.250000, 0.750000, 0.500000)TTTT(0.250000, 0.750000, -0.571429)TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.750000, 0.750000, 3.000000)TTTT(0.750000, 0.750000, -0.071429)TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.250000, 0.750000, 1.500000)TTTT(0.250000, 0.750000, -0.428571)TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.250000, 0.250000, -2.000000)TTTT(0.250000, 0.250000, -0.928571)TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.750000, 0.250000, -0.500000)TTTT(0.750000, 0.250000, -0.571429)TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHGGGG$Splitting of Wyckoff position 4b: 8f 8f 8f 4bHHHHOrbit 0:HHHH[0]TTTT(0.000000, 0.500000, 0.000000)TTTT(0.000000, 0.500000, -0.714286)TTTT8fTTTT(x,y,z)HHHH[1]TTTT(0.000000, 0.500000, -0.500000)TTTT(0.000000, 0.500000, -0.785714)TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(0.000000, 0.500000, 3.000000)TTTT(0.000000, 0.500000, -0.285714)TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(0.000000, 0.500000, 3.500000)TTTT(0.000000, 0.500000, -0.214286)TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000, 0.000000, -1.000000)TTTT(0.500000, 0.000000, -0.714286)TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000, 0.000000, -1.500000)TTTT(0.500000, 0.000000, -0.785714)TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000, 0.000000, 2.000000)TTTT(0.500000, 0.000000, -0.285714)TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000, 0.000000, 2.500000)TTTT(0.500000, 0.000000, -0.214286)TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 1:HHHH[0]TTTT(0.000000, 0.500000, 1.000000)TTTT(0.000000, 0.500000, -0.571429)TTTT8fTTTT(x,y,z)HHHH[1]TTTT(0.000000, 0.500000, -1.500000)TTTT(0.000000, 0.500000, -0.928571)TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(0.000000, 0.500000, 2.000000)TTTT(0.000000, 0.500000, -0.428571)TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(0.000000, 0.500000, 4.500000)TTTT(0.000000, 0.500000, -0.071429)TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000, 0.000000, 0.000000)TTTT(0.500000, 0.000000, -0.571429)TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000, 0.000000, -2.500000)TTTT(0.500000, 0.000000, -0.928571)TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000, 0.000000, 1.000000)TTTT(0.500000, 0.000000, -0.428571)TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000, 0.000000, 3.500000)TTTT(0.500000, 0.000000, -0.071429)TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 2:HHHH[0]TTTT(0.000000, 0.500000, 4.000000)TTTT(0.000000, 0.500000, -0.142857)TTTT8fTTTT(x,y,z)HHHH[1]TTTT(0.000000, 0.500000, 2.500000)TTTT(0.000000, 0.500000, -0.357143)TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(0.000000, 0.500000, -1.000000)TTTT(0.000000, 0.500000, -0.857143)TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(0.000000, 0.500000, 0.500000)TTTT(0.000000, 0.500000, -0.642857)TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000, 0.000000, 3.000000)TTTT(0.500000, 0.000000, -0.142857)TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000, 0.000000, 1.500000)TTTT(0.500000, 0.000000, -0.357143)TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000, 0.000000, -2.000000)TTTT(0.500000, 0.000000, -0.857143)TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000, 0.000000, -0.500000)TTTT(0.500000, 0.000000, -0.642857)TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 3:HHHH[0]TTTT(0.000000, 0.500000, -2.000000)TTTT(0.000000, 0.500000, -1.000000)TTTT4bTTTT(0.000000, 0.500000, 0.000000)HHHH[1]TTTT(0.000000, 0.500000, 1.500000)TTTT(0.000000, 0.500000, -0.500000)TTTT4bTTTT(0.000000, 0.500000, 0.500000)HHHH[2]TTTT(0.500000, 0.000000, -3.000000)TTTT(0.500000, 0.000000, -1.000000)TTTT4bTTTT(0.500000, 0.000000, 0.000000)HHHH[3]TTTT(0.500000, 0.000000, 0.500000)TTTT(0.500000, 0.000000, -0.500000)TTTT4bTTTT(0.500000, 0.000000, 0.500000)HHHHGGGG$Splitting of Wyckoff position 4a: 8f 8f 8f 4aHHHHOrbit 0:HHHH[0]TTTT(0.000000, 0.000000, 0.000000)TTTT(0.000000, 0.000000, -0.714286)TTTT8fTTTT(x,y,z)HHHH[1]TTTT(0.000000, 0.000000, -0.500000)TTTT(0.000000, 0.000000, -0.785714)TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(0.000000, 0.000000, 3.000000)TTTT(0.000000, 0.000000, -0.285714)TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(0.000000, 0.000000, 3.500000)TTTT(0.000000, 0.000000, -0.214286)TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000, 0.500000, -1.000000)TTTT(0.500000, 0.500000, -0.714286)TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000, 0.500000, -1.500000)TTTT(0.500000, 0.500000, -0.785714)TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000, 0.500000, 2.000000)TTTT(0.500000, 0.500000, -0.285714)TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000, 0.500000, 2.500000)TTTT(0.500000, 0.500000, -0.214286)TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 1:HHHH[0]TTTT(0.000000, 0.000000, 1.000000)TTTT(0.000000, 0.000000, -0.571429)TTTT8fTTTT(x,y,z)HHHH[1]TTTT(0.000000, 0.000000, -1.500000)TTTT(0.000000, 0.000000, -0.928571)TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(0.000000, 0.000000, 2.000000)TTTT(0.000000, 0.000000, -0.428571)TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(0.000000, 0.000000, 4.500000)TTTT(0.000000, 0.000000, -0.071429)TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000, 0.500000, 0.000000)TTTT(0.500000, 0.500000, -0.571429)TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000, 0.500000, -2.500000)TTTT(0.500000, 0.500000, -0.928571)TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000, 0.500000, 1.000000)TTTT(0.500000, 0.500000, -0.428571)TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000, 0.500000, 3.500000)TTTT(0.500000, 0.500000, -0.071429)TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 2:HHHH[0]TTTT(0.000000, 0.000000, 4.000000)TTTT(0.000000, 0.000000, -0.142857)TTTT8fTTTT(x,y,z)HHHH[1]TTTT(0.000000, 0.000000, 2.500000)TTTT(0.000000, 0.000000, -0.357143)TTTT8fTTTT(-x,y, 0.500000 - z)HHHH[2]TTTT(0.000000, 0.000000, -1.000000)TTTT(0.000000, 0.000000, -0.857143)TTTT8fTTTT(-x, -y, -z)HHHH[3]TTTT(0.000000, 0.000000, 0.500000)TTTT(0.000000, 0.000000, -0.642857)TTTT8fTTTT(x, -y, 0.500000 +z)HHHH[4]TTTT(0.500000, 0.500000, 3.000000)TTTT(0.500000, 0.500000, -0.142857)TTTT8fTTTT(0.500000 +x, 0.500000 +y,z)HHHH[5]TTTT(0.500000, 0.500000, 1.500000)TTTT(0.500000, 0.500000, -0.357143)TTTT8fTTTT(0.500000 - x, 0.500000 +y, 0.500000 - z)HHHH[6]TTTT(0.500000, 0.500000, -2.000000)TTTT(0.500000, 0.500000, -0.857143)TTTT8fTTTT(0.500000 - x, 0.500000 - y, -z)HHHH[7]TTTT(0.500000, 0.500000, -0.500000)TTTT(0.500000, 0.500000, -0.642857)TTTT8fTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHHOrbit 3:HHHH[0]TTTT(0.000000, 0.000000, -2.000000)TTTT(0.000000, 0.000000, -1.000000)TTTT4aTTTT(0.000000, 0.000000, 0.000000)HHHH[1]TTTT(0.000000, 0.000000, 1.500000)TTTT(0.000000, 0.000000, -0.500000)TTTT4aTTTT(0.000000, 0.000000, 0.500000)HHHH[2]TTTT(0.500000, 0.500000, -3.000000)TTTT(0.500000, 0.500000, -1.000000)TTTT4aTTTT(0.500000, 0.500000, 0.000000)HHHH[3]TTTT(0.500000, 0.500000, 0.500000)TTTT(0.500000, 0.500000, -0.500000)TTTT4aTTTT(0.500000, 0.500000, 0.500000)HHHHGGGG&{{8, f}, {4, e}, {4, d}, {4, c}, {4, b}, {4, a}}${{{8, f}, {8, f}, {8, f}, {8, f}, {8, f}, {8, f}, {8, f}}, {{8, f}, {8, f}, {8, f}, {4, e}}, {{8, f}, {8, f}, {8, f}, {4, c}}, {{8, f}, {4, d}, {8, f}, {8, f}}, {{8, f}, {8, f}, {8, f}, {4, b}}, {{8, f}, {8, f}, {8, f}, {4, a}}}${{{{x, y, z}, {-x, y, -1/2 - z}, {-x, -y, 3 - z}, {x, -y, 7/2 + z}, {1/2 + x, 1/2 + y, -1 + z}, {1/2 - x, 1/2 + y, -3/2 - z}, {1/2 - x, 1/2 - y, 2 - z}, {1/2 + x, 1/2 - y, 5/2 + z}}, {{x, y, 1 + z}, {-x, y, -3/2 - z}, {-x, -y, 2 - z}, {x, -y, 9/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, -5/2 - z}, {1/2 - x, 1/2 - y, 1 - z}, {1/2 + x, 1/2 - y, 7/2 + z}}, {{x, y, 2 + z}, {-x, y, 9/2 - z}, {-x, -y, 1 - z}, {x, -y, -3/2 + z}, {1/2 + x, 1/2 + y, 1 + z}, {1/2 - x, 1/2 + y, 7/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, -5/2 + z}}, {{x, y, 3 + z}, {-x, y, 7/2 - z}, {-x, -y, -z}, {x, -y, -1/2 + z}, {1/2 + x, 1/2 + y, 2 + z}, {1/2 - x, 1/2 + y, 5/2 - z}, {1/2 - x, 1/2 - y, -1 - z}, {1/2 + x, 1/2 - y, -3/2 + z}}, {{x, y, 4 + z}, {-x, y, 5/2 - z}, {-x, -y, -1 - z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, 3 + z}, {1/2 - x, 1/2 + y, 3/2 - z}, {1/2 - x, 1/2 - y, -2 - z}, {1/2 + x, 1/2 - y, -1/2 + z}}, {{x, y, -2 + z}, {-x, y, 3/2 - z}, {-x, -y, -2 - z}, {x, -y, 3/2 + z}, {1/2 + x, 1/2 + y, -3 + z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -3 - z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, -1 + z}, {-x, y, 1/2 - z}, {-x, -y, 4 - z}, {x, -y, 5/2 + z}, {1/2 + x, 1/2 + y, -2 + z}, {1/2 - x, 1/2 + y, -1/2 - z}, {1/2 - x, 1/2 - y, 3 - z}, {1/2 + x, 1/2 - y, 3/2 + z}}}, {{{0, y, 1/4}, {0, y, -3/4}, {0, -y, 11/4}, {0, -y, 15/4}, {1/2, 1/2 + y, -3/4}, {1/2, 1/2 + y, -7/4}, {1/2, 1/2 - y, 7/4}, {1/2, 1/2 - y, 11/4}}, {{0, y, 5/4}, {0, y, -7/4}, {0, -y, 7/4}, {0, -y, 19/4}, {1/2, 1/2 + y, 1/4}, {1/2, 1/2 + y, -11/4}, {1/2, 1/2 - y, 3/4}, {1/2, 1/2 - y, 15/4}}, {{0, y, 9/4}, {0, y, 17/4}, {0, -y, 3/4}, {0, -y, -5/4}, {1/2, 1/2 + y, 5/4}, {1/2, 1/2 + y, 13/4}, {1/2, 1/2 - y, -1/4}, {1/2, 1/2 - y, -9/4}}, {{0, y, 13/4}, {0, -y, -1/4}, {1/2, 1/2 + y, 9/4}, {1/2, 1/2 - y, -5/4}}}, {{{1/4, 1/4, 1/2}, {3/4, 1/4, -3}, {3/4, 3/4, 1/2}, {1/4, 3/4, 4}, {3/4, 3/4, -1/2}, {1/4, 3/4, -2}, {1/4, 1/4, 3/2}, {3/4, 1/4, 3}}, {{1/4, 1/4, 5/2}, {3/4, 1/4, 2}, {3/4, 3/4, -3/2}, {1/4, 3/4, -1}, {3/4, 3/4, 3/2}, {1/4, 3/4, 3}, {1/4, 1/4, -1/2}, {3/4, 1/4, -2}}, {{1/4, 1/4, 7/2}, {3/4, 1/4, 1}, {3/4, 3/4, -5/2}, {1/4, 3/4, 0}, {3/4, 3/4, 5/2}, {1/4, 3/4, 2}, {1/4, 1/4, -3/2}, {3/4, 1/4, -1}}, {{1/4, 1/4, -5/2}, {3/4, 1/4, 0}, {3/4, 3/4, -7/2}, {1/4, 3/4, 1}}}, {{{1/4, 1/4, 0}, {3/4, 1/4, -5/2}, {3/4, 3/4, 1}, {1/4, 3/4, 7/2}, {3/4, 3/4, -1}, {1/4, 3/4, -3/2}, {1/4, 1/4, 2}, {3/4, 1/4, 5/2}}, {{1/4, 1/4, 1}, {3/4, 1/4, -7/2}, {3/4, 3/4, 0}, {1/4, 3/4, -5/2}}, {{1/4, 1/4, 3}, {3/4, 1/4, 3/2}, {3/4, 3/4, -2}, {1/4, 3/4, -1/2}, {3/4, 3/4, 2}, {1/4, 3/4, 5/2}, {1/4, 1/4, -1}, {3/4, 1/4, -3/2}}, {{1/4, 1/4, 4}, {3/4, 1/4, 1/2}, {3/4, 3/4, -3}, {1/4, 3/4, 1/2}, {3/4, 3/4, 3}, {1/4, 3/4, 3/2}, {1/4, 1/4, -2}, {3/4, 1/4, -1/2}}}, {{{0, 1/2, 0}, {0, 1/2, -1/2}, {0, 1/2, 3}, {0, 1/2, 7/2}, {1/2, 0, -1}, {1/2, 0, -3/2}, {1/2, 0, 2}, {1/2, 0, 5/2}}, {{0, 1/2, 1}, {0, 1/2, -3/2}, {0, 1/2, 2}, {0, 1/2, 9/2}, {1/2, 0, 0}, {1/2, 0, -5/2}, {1/2, 0, 1}, {1/2, 0, 7/2}}, {{0, 1/2, 4}, {0, 1/2, 5/2}, {0, 1/2, -1}, {0, 1/2, 1/2}, {1/2, 0, 3}, {1/2, 0, 3/2}, {1/2, 0, -2}, {1/2, 0, -1/2}}, {{0, 1/2, -2}, {0, 1/2, 3/2}, {1/2, 0, -3}, {1/2, 0, 1/2}}}, {{{0, 0, 0}, {0, 0, -1/2}, {0, 0, 3}, {0, 0, 7/2}, {1/2, 1/2, -1}, {1/2, 1/2, -3/2}, {1/2, 1/2, 2}, {1/2, 1/2, 5/2}}, {{0, 0, 1}, {0, 0, -3/2}, {0, 0, 2}, {0, 0, 9/2}, {1/2, 1/2, 0}, {1/2, 1/2, -5/2}, {1/2, 1/2, 1}, {1/2, 1/2, 7/2}}, {{0, 0, 4}, {0, 0, 5/2}, {0, 0, -1}, {0, 0, 1/2}, {1/2, 1/2, 3}, {1/2, 1/2, 3/2}, {1/2, 1/2, -2}, {1/2, 1/2, -1/2}}, {{0, 0, -2}, {0, 0, 3/2}, {1/2, 1/2, -3}, {1/2, 1/2, 1/2}}}}${{{{x, y, (-5 + 2*x + z)/7}, {-x, y, (-11 - 4*x - 2*z)/14}, {-x, -y, (-2 - 2*x - z)/7}, {x, -y, (-3 + 4*x + 2*z)/14}, {1/2 + x, 1/2 + y, (-5 + 2*x + z)/7}, {1/2 - x, 1/2 + y, (-11 - 4*x - 2*z)/14}, {1/2 - x, 1/2 - y, (-2 - 2*x - z)/7}, {1/2 + x, 1/2 - y, (-3 + 4*x + 2*z)/14}}, {{x, y, (-4 + 2*x + z)/7}, {-x, y, (-13 - 4*x - 2*z)/14}, {-x, -y, (-3 - 2*x - z)/7}, {x, -y, (-1 + 4*x + 2*z)/14}, {1/2 + x, 1/2 + y, (-4 + 2*x + z)/7}, {1/2 - x, 1/2 + y, (-13 - 4*x - 2*z)/14}, {1/2 - x, 1/2 - y, (-3 - 2*x - z)/7}, {1/2 + x, 1/2 - y, (-1 + 4*x + 2*z)/14}}, {{x, y, (-3 + 2*x + z)/7}, {-x, y, (-1 - 4*x - 2*z)/14}, {-x, -y, (-4 - 2*x - z)/7}, {x, -y, (-13 + 4*x + 2*z)/14}, {1/2 + x, 1/2 + y, (-3 + 2*x + z)/7}, {1/2 - x, 1/2 + y, (-1 - 4*x - 2*z)/14}, {1/2 - x, 1/2 - y, (-4 - 2*x - z)/7}, {1/2 + x, 1/2 - y, (-13 + 4*x + 2*z)/14}}, {{x, y, (-2 + 2*x + z)/7}, {-x, y, (-3 - 4*x - 2*z)/14}, {-x, -y, (-5 - 2*x - z)/7}, {x, -y, (-11 + 4*x + 2*z)/14}, {1/2 + x, 1/2 + y, (-2 + 2*x + z)/7}, {1/2 - x, 1/2 + y, (-3 - 4*x - 2*z)/14}, {1/2 - x, 1/2 - y, (-5 - 2*x - z)/7}, {1/2 + x, 1/2 - y, (-11 + 4*x + 2*z)/14}}, {{x, y, (-1 + 2*x + z)/7}, {-x, y, (-5 - 4*x - 2*z)/14}, {-x, -y, (-6 - 2*x - z)/7}, {x, -y, (-9 + 4*x + 2*z)/14}, {1/2 + x, 1/2 + y, (-1 + 2*x + z)/7}, {1/2 - x, 1/2 + y, (-5 - 4*x - 2*z)/14}, {1/2 - x, 1/2 - y, (-6 - 2*x - z)/7}, {1/2 + x, 1/2 - y, (-9 + 4*x + 2*z)/14}}, {{x, y, (-7 + 2*x + z)/7}, {-x, y, (-7 - 4*x - 2*z)/14}, {-x, -y, (-7 - 2*x - z)/7}, {x, -y, (-7 + 4*x + 2*z)/14}, {1/2 + x, 1/2 + y, (-7 + 2*x + z)/7}, {1/2 - x, 1/2 + y, (-7 - 4*x - 2*z)/14}, {1/2 - x, 1/2 - y, (-7 - 2*x - z)/7}, {1/2 + x, 1/2 - y, (-7 + 4*x + 2*z)/14}}, {{x, y, (-6 + 2*x + z)/7}, {-x, y, (-9 - 4*x - 2*z)/14}, {-x, -y, (-1 - 2*x - z)/7}, {x, -y, (-5 + 4*x + 2*z)/14}, {1/2 + x, 1/2 + y, (-6 + 2*x + z)/7}, {1/2 - x, 1/2 + y, (-9 - 4*x - 2*z)/14}, {1/2 - x, 1/2 - y, (-1 - 2*x - z)/7}, {1/2 + x, 1/2 - y, (-5 + 4*x + 2*z)/14}}}, {{{0, y, -19/28}, {0, y, -23/28}, {0, -y, -9/28}, {0, -y, -5/28}, {1/2, 1/2 + y, -19/28}, {1/2, 1/2 + y, -23/28}, {1/2, 1/2 - y, -9/28}, {1/2, 1/2 - y, -5/28}}, {{0, y, -15/28}, {0, y, -27/28}, {0, -y, -13/28}, {0, -y, -1/28}, {1/2, 1/2 + y, -15/28}, {1/2, 1/2 + y, -27/28}, {1/2, 1/2 - y, -13/28}, {1/2, 1/2 - y, -1/28}}, {{0, y, -11/28}, {0, y, -3/28}, {0, -y, -17/28}, {0, -y, -25/28}, {1/2, 1/2 + y, -11/28}, {1/2, 1/2 + y, -3/28}, {1/2, 1/2 - y, -17/28}, {1/2, 1/2 - y, -25/28}}, {{0, y, -1/4}, {0, -y, -3/4}, {1/2, 1/2 + y, -1/4}, {1/2, 1/2 - y, -3/4}}}, {{{1/4, 1/4, -4/7}, {3/4, 1/4, -13/14}, {3/4, 3/4, -3/7}, {1/4, 3/4, -1/14}, {3/4, 3/4, -4/7}, {1/4, 3/4, -13/14}, {1/4, 1/4, -3/7}, {3/4, 1/4, -1/14}}, {{1/4, 1/4, -2/7}, {3/4, 1/4, -3/14}, {3/4, 3/4, -5/7}, {1/4, 3/4, -11/14}, {3/4, 3/4, -2/7}, {1/4, 3/4, -3/14}, {1/4, 1/4, -5/7}, {3/4, 1/4, -11/14}}, {{1/4, 1/4, -1/7}, {3/4, 1/4, -5/14}, {3/4, 3/4, -6/7}, {1/4, 3/4, -9/14}, {3/4, 3/4, -1/7}, {1/4, 3/4, -5/14}, {1/4, 1/4, -6/7}, {3/4, 1/4, -9/14}}, {{1/4, 1/4, -1}, {3/4, 1/4, -1/2}, {3/4, 3/4, -1}, {1/4, 3/4, -1/2}}}, {{{1/4, 1/4, -9/14}, {3/4, 1/4, -6/7}, {3/4, 3/4, -5/14}, {1/4, 3/4, -1/7}, {3/4, 3/4, -9/14}, {1/4, 3/4, -6/7}, {1/4, 1/4, -5/14}, {3/4, 1/4, -1/7}}, {{1/4, 1/4, -1/2}, {3/4, 1/4, -1}, {3/4, 3/4, -1/2}, {1/4, 3/4, -1}}, {{1/4, 1/4, -3/14}, {3/4, 1/4, -2/7}, {3/4, 3/4, -11/14}, {1/4, 3/4, -5/7}, {3/4, 3/4, -3/14}, {1/4, 3/4, -2/7}, {1/4, 1/4, -11/14}, {3/4, 1/4, -5/7}}, {{1/4, 1/4, -1/14}, {3/4, 1/4, -3/7}, {3/4, 3/4, -13/14}, {1/4, 3/4, -4/7}, {3/4, 3/4, -1/14}, {1/4, 3/4, -3/7}, {1/4, 1/4, -13/14}, {3/4, 1/4, -4/7}}}, {{{0, 1/2, -5/7}, {0, 1/2, -11/14}, {0, 1/2, -2/7}, {0, 1/2, -3/14}, {1/2, 0, -5/7}, {1/2, 0, -11/14}, {1/2, 0, -2/7}, {1/2, 0, -3/14}}, {{0, 1/2, -4/7}, {0, 1/2, -13/14}, {0, 1/2, -3/7}, {0, 1/2, -1/14}, {1/2, 0, -4/7}, {1/2, 0, -13/14}, {1/2, 0, -3/7}, {1/2, 0, -1/14}}, {{0, 1/2, -1/7}, {0, 1/2, -5/14}, {0, 1/2, -6/7}, {0, 1/2, -9/14}, {1/2, 0, -1/7}, {1/2, 0, -5/14}, {1/2, 0, -6/7}, {1/2, 0, -9/14}}, {{0, 1/2, -1}, {0, 1/2, -1/2}, {1/2, 0, -1}, {1/2, 0, -1/2}}}, {{{0, 0, -5/7}, {0, 0, -11/14}, {0, 0, -2/7}, {0, 0, -3/14}, {1/2, 1/2, -5/7}, {1/2, 1/2, -11/14}, {1/2, 1/2, -2/7}, {1/2, 1/2, -3/14}}, {{0, 0, -4/7}, {0, 0, -13/14}, {0, 0, -3/7}, {0, 0, -1/14}, {1/2, 1/2, -4/7}, {1/2, 1/2, -13/14}, {1/2, 1/2, -3/7}, {1/2, 1/2, -1/14}}, {{0, 0, -1/7}, {0, 0, -5/14}, {0, 0, -6/7}, {0, 0, -9/14}, {1/2, 1/2, -1/7}, {1/2, 1/2, -5/14}, {1/2, 1/2, -6/7}, {1/2, 1/2, -9/14}}, {{0, 0, -1}, {0, 0, -1/2}, {1/2, 1/2, -1}, {1/2, 1/2, -1/2}}}}${{{{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}}, {{{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{0, -y, 3/4}, {0, y, 1/4}, {1/2, 1/2 - y, 3/4}, {1/2, 1/2 + y, 1/4}}}, {{{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{1/4, 1/4, 0}, {3/4, 1/4, 1/2}, {3/4, 3/4, 0}, {1/4, 3/4, 1/2}}}, {{{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{1/4, 1/4, 1/2}, {3/4, 1/4, 0}, {3/4, 3/4, 1/2}, {1/4, 3/4, 0}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}}, {{{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{0, 1/2, 0}, {0, 1/2, 1/2}, {1/2, 0, 0}, {1/2, 0, 1/2}}}, {{{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{x, y, z}, {-x, y, 1/2 - z}, {-x, -y, -z}, {x, -y, 1/2 + z}, {1/2 + x, 1/2 + y, z}, {1/2 - x, 1/2 + y, 1/2 - z}, {1/2 - x, 1/2 - y, -z}, {1/2 + x, 1/2 - y, 1/2 + z}}, {{0, 0, 0}, {0, 0, 1/2}, {1/2, 1/2, 0}, {1/2, 1/2, 1/2}}}}&OK! (#)

Listed with respect to the BNS setting:


Listed with respect to the OG setting:



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