OpenWrite::noopen: Cannot open /stmp/mathematica/tmp_140663.txt. Content-type: text/html MGROUPS
Bilbao Crystallographic Server arrow SUBGROUPS Help

The magnetic space groups derived from the Fedorov space group: 030 > 030 (id = 28089)HHHHRead tr. matrix for the supergroup from /tmp/wp-supertrm28089.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-subtrm28089.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-trm28089.trnHHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 1.000000 0.000000 0.000000 HHHH0.000000 0.000000 7.000000 0.000000 HHHHTransformation matrix:HHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 1.000000 0.000000 0.000000 HHHH0.000000 0.000000 7.000000 0.000000 HHHHdeterminant: 7.000000(det-ONE=6.000000)HHHHInverted of the transformation matrix:HHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 1.000000 0.000000 0.000000 HHHH0.000000 0.000000 0.142857 0.000000 HHHHSubgroup generators: 2, general positions: 4HHHH(x,y,z)HHHH(-x, -y,z)HHHH(-x, 0.500000 +y, 0.500000 +z)HHHH(x, 0.500000 - y, 0.500000 +z)HHHHSubgroup Wyckoff positions:HHHHList of Wyckoff positions:HHHHOrbit No:0HHHHMultiplicity:4HHHHLetter:cHHHH(x,y,z)HHHH(-x, -y,z)HHHH(-x, 0.500000 +y, 0.500000 +z)HHHH(x, 0.500000 - y, 0.500000 +z)HHHHOrbit No:1HHHHMultiplicity:2HHHHLetter:bHHHH(0.500000, 0.000000,z)HHHH(0.500000, 0.500000, 0.500000 +z)HHHHOrbit No:2HHHHMultiplicity:2HHHHLetter:aHHHH(0.000000, 0.000000,z)HHHH(0.000000, 0.500000, 0.500000 +z)HHHHtr. matrix:(x,y, 7.000000z)HHHHdet = 7.000000HHHHSupergroup is transformed to unconventional setting.HHHHtake memory for 9 cells.HHHHtr. matrix:(x,y, 7.000000z)HHHHNumber of gen. pos. = 4, det = 7.000000. New number of general positions: 28HHHHchange the basis with the matrix (x,y, 7.000000z)HHHHAfter checking group we obtain 28 elementsHHHH000HHHHBefore expanding:HHHH(x,y,z)HHHH(-x, -y,z)HHHH(x, 0.500000 - y, 0.071429 +z)HHHH(-x, 0.500000 +y, 0.071429 +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(-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(x, 0.500000 - y, 0.071429 +z)HHHH(x, 0.500000 - y, 0.214286 +z)HHHH(x, 0.500000 - y, 0.357143 +z)HHHH(x, 0.500000 - y, 0.500000 +z)HHHH(x, 0.500000 - y, 0.642857 +z)HHHH(x, 0.500000 - y, 0.785714 +z)HHHH(x, 0.500000 - y, 0.928571 +z)HHHH(-x, 0.500000 +y, 0.071429 +z)HHHH(-x, 0.500000 +y, 0.214286 +z)HHHH(-x, 0.500000 +y, 0.357143 +z)HHHH(-x, 0.500000 +y, 0.500000 +z)HHHH(-x, 0.500000 +y, 0.642857 +z)HHHH(-x, 0.500000 +y, 0.785714 +z)HHHH(-x, 0.500000 +y, 0.928571 +z)HHHH000HHHHSupergroup is transformed (28 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(-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(x, 0.500000 - y, 0.071429 +z)HHHH(x, 0.500000 - y, 0.214286 +z)HHHH(x, 0.500000 - y, 0.357143 +z)HHHH(x, 0.500000 - y, 0.500000 +z)HHHH(x, 0.500000 - y, 0.642857 +z)HHHH(x, 0.500000 - y, 0.785714 +z)HHHH(x, 0.500000 - y, 0.928571 +z)HHHH(-x, 0.500000 +y, 0.071429 +z)HHHH(-x, 0.500000 +y, 0.214286 +z)HHHH(-x, 0.500000 +y, 0.357143 +z)HHHH(-x, 0.500000 +y, 0.500000 +z)HHHH(-x, 0.500000 +y, 0.642857 +z)HHHH(-x, 0.500000 +y, 0.785714 +z)HHHH(-x, 0.500000 +y, 0.928571 +z)HHHHSupergroup is transformed to the subgroup basis. there are 28 general positionsHHHHSupergroup generators: xxx, general positions:28HHHHSubgroup 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(-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(x, 0.500000 - y, 0.071429 +z)HHHH(x, 0.500000 - y, 0.214286 +z)HHHH(x, 0.500000 - y, 0.357143 +z)HHHH(x, 0.500000 - y, 0.500000 +z)HHHH(x, 0.500000 - y, 0.642857 +z)HHHH(x, 0.500000 - y, 0.785714 +z)HHHH(x, 0.500000 - y, 0.928571 +z)HHHH(-x, 0.500000 +y, 0.071429 +z)HHHH(-x, 0.500000 +y, 0.214286 +z)HHHH(-x, 0.500000 +y, 0.357143 +z)HHHH(-x, 0.500000 +y, 0.500000 +z)HHHH(-x, 0.500000 +y, 0.642857 +z)HHHH(-x, 0.500000 +y, 0.785714 +z)HHHH(-x, 0.500000 +y, 0.928571 +z)HHHHnumber of cells: 1HHHH000HHHHSupergroup Wyckoff positions:HHHHOwn basis.HHHHList of Wyckoff positions:HHHHOrbit No:0HHHHMultiplicity:4HHHHLetter:cHHHH(x,y,z)HHHHOrbit No:1HHHHMultiplicity:2HHHHLetter:bHHHH(0.500000, 0.000000,z)HHHHOrbit No:2HHHHMultiplicity:2HHHHLetter:aHHHH(0.000000, 0.000000,z)HHHHSubgroup basis.HHHHList of Wyckoff positions:HHHHOrbit No:0HHHHMultiplicity:4HHHHLetter:cHHHH(x,y, 0.142857z)HHHHOrbit No:1HHHHMultiplicity:2HHHHLetter:bHHHH(0.500000, 0.000000, 0.142857z)HHHHOrbit No:2HHHHMultiplicity:2HHHHLetter:aHHHH(0.000000, 0.000000, 0.142857z)HHHHindex : 7HHHHSplitting of the general position of the supergroup...HHHHThe general position splits into 7 suborbits.HHHH&Splitting of all positions:HHHHGGGG4c: 4c 4c 4c 4c 4c 4c 4cHHHH2b: 2b 2b 2b 2b 2b 2b 2bHHHH2a: 2a 2a 2a 2a 2a 2a 2aHHHH&Splitting of Wyckoff position 4c: 4c 4c 4c 4c 4c 4c 4cHHHHOrbit 0:HHHH[0]TTTT(x,y,z)TTTT(x,y, 0.142857z)TTTT4cTTTT(x,y,z)HHHH[1]TTTT(-x, -y,z)TTTT(-x, -y, 0.142857z)TTTT4cTTTT(-x, -y,z)HHHH[2]TTTT(x, 0.500000 - y, 3.500000 +z)TTTT(x, 0.500000 - y, 0.500000 + 0.142857z)TTTT4cTTTT(x, 0.500000 - y, 0.500000 +z)HHHH[3]TTTT(-x, 0.500000 +y, 3.500000 +z)TTTT(-x, 0.500000 +y, 0.500000 + 0.142857z)TTTT4cTTTT(-x, 0.500000 +y, 0.500000 +z)HHHHOrbit 1:HHHH[0]TTTT(x,y, 1.000000 +z)TTTT(x,y, 0.142857 (1.000000 +z))TTTT4cTTTT(x,y,z)HHHH[1]TTTT(-x, -y, 1.000000 +z)TTTT(-x, -y, 0.142857 (1.000000 +z))TTTT4cTTTT(-x, -y,z)HHHH[2]TTTT(x, 0.500000 - y, 4.500000 +z)TTTT(x, 0.500000 - y, 0.071429 (9.000000 + 2.000000z))TTTT4cTTTT(x, 0.500000 - y, 0.500000 +z)HHHH[3]TTTT(-x, 0.500000 +y, 4.500000 +z)TTTT(-x, 0.500000 +y, 0.071429 (9.000000 + 2.000000z))TTTT4cTTTT(-x, 0.500000 +y, 0.500000 +z)HHHHOrbit 2:HHHH[0]TTTT(x,y, 2.000000 +z)TTTT(x,y, 0.142857 (2.000000 +z))TTTT4cTTTT(x,y,z)HHHH[1]TTTT(-x, -y, 2.000000 +z)TTTT(-x, -y, 0.142857 (2.000000 +z))TTTT4cTTTT(-x, -y,z)HHHH[2]TTTT(x, 0.500000 - y, 5.500000 +z)TTTT(x, 0.500000 - y, 0.071429 (11.000000 + 2.000000z))TTTT4cTTTT(x, 0.500000 - y, 0.500000 +z)HHHH[3]TTTT(-x, 0.500000 +y, 5.500000 +z)TTTT(-x, 0.500000 +y, 0.071429 (11.000000 + 2.000000z))TTTT4cTTTT(-x, 0.500000 +y, 0.500000 +z)HHHHOrbit 3:HHHH[0]TTTT(x,y, 3.000000 +z)TTTT(x,y, 0.142857 (3.000000 +z))TTTT4cTTTT(x,y,z)HHHH[1]TTTT(-x, -y, 3.000000 +z)TTTT(-x, -y, 0.142857 (3.000000 +z))TTTT4cTTTT(-x, -y,z)HHHH[2]TTTT(x, 0.500000 - y, 6.500000 +z)TTTT(x, 0.500000 - y, 0.071429 (13.000000 + 2.000000z))TTTT4cTTTT(x, 0.500000 - y, 0.500000 +z)HHHH[3]TTTT(-x, 0.500000 +y, 6.500000 +z)TTTT(-x, 0.500000 +y, 0.071429 (13.000000 + 2.000000z))TTTT4cTTTT(-x, 0.500000 +y, 0.500000 +z)HHHHOrbit 4:HHHH[0]TTTT(x,y, 4.000000 +z)TTTT(x,y, 0.142857 (4.000000 +z))TTTT4cTTTT(x,y,z)HHHH[1]TTTT(-x, -y, 4.000000 +z)TTTT(-x, -y, 0.142857 (4.000000 +z))TTTT4cTTTT(-x, -y,z)HHHH[2]TTTT(x, 0.500000 - y, 0.500000 +z)TTTT(x, 0.500000 - y, 0.071429 (1.000000 + 2.000000z))TTTT4cTTTT(x, 0.500000 - y, 0.500000 +z)HHHH[3]TTTT(-x, 0.500000 +y, 0.500000 +z)TTTT(-x, 0.500000 +y, 0.071429 (1.000000 + 2.000000z))TTTT4cTTTT(-x, 0.500000 +y, 0.500000 +z)HHHHOrbit 5:HHHH[0]TTTT(x,y, 5.000000 +z)TTTT(x,y, 0.142857 (5.000000 +z))TTTT4cTTTT(x,y,z)HHHH[1]TTTT(-x, -y, 5.000000 +z)TTTT(-x, -y, 0.142857 (5.000000 +z))TTTT4cTTTT(-x, -y,z)HHHH[2]TTTT(x, 0.500000 - y, 1.500000 +z)TTTT(x, 0.500000 - y, 0.071429 (3.000000 + 2.000000z))TTTT4cTTTT(x, 0.500000 - y, 0.500000 +z)HHHH[3]TTTT(-x, 0.500000 +y, 1.500000 +z)TTTT(-x, 0.500000 +y, 0.071429 (3.000000 + 2.000000z))TTTT4cTTTT(-x, 0.500000 +y, 0.500000 +z)HHHHOrbit 6:HHHH[0]TTTT(x,y, 6.000000 +z)TTTT(x,y, 0.142857 (6.000000 +z))TTTT4cTTTT(x,y,z)HHHH[1]TTTT(-x, -y, 6.000000 +z)TTTT(-x, -y, 0.142857 (6.000000 +z))TTTT4cTTTT(-x, -y,z)HHHH[2]TTTT(x, 0.500000 - y, 2.500000 +z)TTTT(x, 0.500000 - y, 0.071429 (5.000000 + 2.000000z))TTTT4cTTTT(x, 0.500000 - y, 0.500000 +z)HHHH[3]TTTT(-x, 0.500000 +y, 2.500000 +z)TTTT(-x, 0.500000 +y, 0.071429 (5.000000 + 2.000000z))TTTT4cTTTT(-x, 0.500000 +y, 0.500000 +z)HHHHGGGG$Splitting of Wyckoff position 2b: 2b 2b 2b 2b 2b 2b 2bHHHHOrbit 0:HHHH[0]TTTT(0.500000, 0.000000,z)TTTT(0.500000, 0.000000, 0.142857z)TTTT2bTTTT(0.500000, 0.000000,z)HHHH[1]TTTT(0.500000, 0.500000, 3.500000 +z)TTTT(0.500000, 0.500000, 0.500000 + 0.142857z)TTTT2bTTTT(0.500000, 0.500000, 0.500000 +z)HHHHOrbit 1:HHHH[0]TTTT(0.500000, 0.000000, 1.000000 +z)TTTT(0.500000, 0.000000, 0.142857 (1.000000 +z))TTTT2bTTTT(0.500000, 0.000000,z)HHHH[1]TTTT(0.500000, 0.500000, 4.500000 +z)TTTT(0.500000, 0.500000, 0.071429 (9.000000 + 2.000000z))TTTT2bTTTT(0.500000, 0.500000, 0.500000 +z)HHHHOrbit 2:HHHH[0]TTTT(0.500000, 0.000000, 2.000000 +z)TTTT(0.500000, 0.000000, 0.142857 (2.000000 +z))TTTT2bTTTT(0.500000, 0.000000,z)HHHH[1]TTTT(0.500000, 0.500000, 5.500000 +z)TTTT(0.500000, 0.500000, 0.071429 (11.000000 + 2.000000z))TTTT2bTTTT(0.500000, 0.500000, 0.500000 +z)HHHHOrbit 3:HHHH[0]TTTT(0.500000, 0.000000, 3.000000 +z)TTTT(0.500000, 0.000000, 0.142857 (3.000000 +z))TTTT2bTTTT(0.500000, 0.000000,z)HHHH[1]TTTT(0.500000, 0.500000, 6.500000 +z)TTTT(0.500000, 0.500000, 0.071429 (13.000000 + 2.000000z))TTTT2bTTTT(0.500000, 0.500000, 0.500000 +z)HHHHOrbit 4:HHHH[0]TTTT(0.500000, 0.000000, 4.000000 +z)TTTT(0.500000, 0.000000, 0.142857 (4.000000 +z))TTTT2bTTTT(0.500000, 0.000000,z)HHHH[1]TTTT(0.500000, 0.500000, 0.500000 +z)TTTT(0.500000, 0.500000, 0.071429 (1.000000 + 2.000000z))TTTT2bTTTT(0.500000, 0.500000, 0.500000 +z)HHHHOrbit 5:HHHH[0]TTTT(0.500000, 0.000000, 5.000000 +z)TTTT(0.500000, 0.000000, 0.142857 (5.000000 +z))TTTT2bTTTT(0.500000, 0.000000,z)HHHH[1]TTTT(0.500000, 0.500000, 1.500000 +z)TTTT(0.500000, 0.500000, 0.071429 (3.000000 + 2.000000z))TTTT2bTTTT(0.500000, 0.500000, 0.500000 +z)HHHHOrbit 6:HHHH[0]TTTT(0.500000, 0.000000, 6.000000 +z)TTTT(0.500000, 0.000000, 0.142857 (6.000000 +z))TTTT2bTTTT(0.500000, 0.000000,z)HHHH[1]TTTT(0.500000, 0.500000, 2.500000 +z)TTTT(0.500000, 0.500000, 0.071429 (5.000000 + 2.000000z))TTTT2bTTTT(0.500000, 0.500000, 0.500000 +z)HHHHGGGG$Splitting of Wyckoff position 2a: 2a 2a 2a 2a 2a 2a 2aHHHHOrbit 0:HHHH[0]TTTT(0.000000, 0.000000,z)TTTT(0.000000, 0.000000, 0.142857z)TTTT2aTTTT(0.000000, 0.000000,z)HHHH[1]TTTT(0.000000, 0.500000, 3.500000 +z)TTTT(0.000000, 0.500000, 0.500000 + 0.142857z)TTTT2aTTTT(0.000000, 0.500000, 0.500000 +z)HHHHOrbit 1:HHHH[0]TTTT(0.000000, 0.000000, 1.000000 +z)TTTT(0.000000, 0.000000, 0.142857 (1.000000 +z))TTTT2aTTTT(0.000000, 0.000000,z)HHHH[1]TTTT(0.000000, 0.500000, 4.500000 +z)TTTT(0.000000, 0.500000, 0.071429 (9.000000 + 2.000000z))TTTT2aTTTT(0.000000, 0.500000, 0.500000 +z)HHHHOrbit 2:HHHH[0]TTTT(0.000000, 0.000000, 2.000000 +z)TTTT(0.000000, 0.000000, 0.142857 (2.000000 +z))TTTT2aTTTT(0.000000, 0.000000,z)HHHH[1]TTTT(0.000000, 0.500000, 5.500000 +z)TTTT(0.000000, 0.500000, 0.071429 (11.000000 + 2.000000z))TTTT2aTTTT(0.000000, 0.500000, 0.500000 +z)HHHHOrbit 3:HHHH[0]TTTT(0.000000, 0.000000, 3.000000 +z)TTTT(0.000000, 0.000000, 0.142857 (3.000000 +z))TTTT2aTTTT(0.000000, 0.000000,z)HHHH[1]TTTT(0.000000, 0.500000, 6.500000 +z)TTTT(0.000000, 0.500000, 0.071429 (13.000000 + 2.000000z))TTTT2aTTTT(0.000000, 0.500000, 0.500000 +z)HHHHOrbit 4:HHHH[0]TTTT(0.000000, 0.000000, 4.000000 +z)TTTT(0.000000, 0.000000, 0.142857 (4.000000 +z))TTTT2aTTTT(0.000000, 0.000000,z)HHHH[1]TTTT(0.000000, 0.500000, 0.500000 +z)TTTT(0.000000, 0.500000, 0.071429 (1.000000 + 2.000000z))TTTT2aTTTT(0.000000, 0.500000, 0.500000 +z)HHHHOrbit 5:HHHH[0]TTTT(0.000000, 0.000000, 5.000000 +z)TTTT(0.000000, 0.000000, 0.142857 (5.000000 +z))TTTT2aTTTT(0.000000, 0.000000,z)HHHH[1]TTTT(0.000000, 0.500000, 1.500000 +z)TTTT(0.000000, 0.500000, 0.071429 (3.000000 + 2.000000z))TTTT2aTTTT(0.000000, 0.500000, 0.500000 +z)HHHHOrbit 6:HHHH[0]TTTT(0.000000, 0.000000, 6.000000 +z)TTTT(0.000000, 0.000000, 0.142857 (6.000000 +z))TTTT2aTTTT(0.000000, 0.000000,z)HHHH[1]TTTT(0.000000, 0.500000, 2.500000 +z)TTTT(0.000000, 0.500000, 0.071429 (5.000000 + 2.000000z))TTTT2aTTTT(0.000000, 0.500000, 0.500000 +z)HHHHGGGG&{{4, c}, {2, b}, {2, a}}${{{4, c}, {4, c}, {4, c}, {4, c}, {4, c}, {4, c}, {4, c}}, {{2, b}, {2, b}, {2, b}, {2, b}, {2, b}, {2, b}, {2, b}}, {{2, a}, {2, a}, {2, a}, {2, a}, {2, a}, {2, a}, {2, a}}}${{{{x, y, z}, {-x, -y, z}, {x, 1/2 - y, 7/2 + z}, {-x, 1/2 + y, 7/2 + z}}, {{x, y, 1 + z}, {-x, -y, 1 + z}, {x, 1/2 - y, 9/2 + z}, {-x, 1/2 + y, 9/2 + z}}, {{x, y, 2 + z}, {-x, -y, 2 + z}, {x, 1/2 - y, 11/2 + z}, {-x, 1/2 + y, 11/2 + z}}, {{x, y, 3 + z}, {-x, -y, 3 + z}, {x, 1/2 - y, 13/2 + z}, {-x, 1/2 + y, 13/2 + z}}, {{x, y, 4 + z}, {-x, -y, 4 + z}, {x, 1/2 - y, 1/2 + z}, {-x, 1/2 + y, 1/2 + z}}, {{x, y, 5 + z}, {-x, -y, 5 + z}, {x, 1/2 - y, 3/2 + z}, {-x, 1/2 + y, 3/2 + z}}, {{x, y, 6 + z}, {-x, -y, 6 + z}, {x, 1/2 - y, 5/2 + z}, {-x, 1/2 + y, 5/2 + z}}}, {{{1/2, 0, z}, {1/2, 1/2, 7/2 + z}}, {{1/2, 0, 1 + z}, {1/2, 1/2, 9/2 + z}}, {{1/2, 0, 2 + z}, {1/2, 1/2, 11/2 + z}}, {{1/2, 0, 3 + z}, {1/2, 1/2, 13/2 + z}}, {{1/2, 0, 4 + z}, {1/2, 1/2, 1/2 + z}}, {{1/2, 0, 5 + z}, {1/2, 1/2, 3/2 + z}}, {{1/2, 0, 6 + z}, {1/2, 1/2, 5/2 + z}}}, {{{0, 0, z}, {0, 1/2, 7/2 + z}}, {{0, 0, 1 + z}, {0, 1/2, 9/2 + z}}, {{0, 0, 2 + z}, {0, 1/2, 11/2 + z}}, {{0, 0, 3 + z}, {0, 1/2, 13/2 + z}}, {{0, 0, 4 + z}, {0, 1/2, 1/2 + z}}, {{0, 0, 5 + z}, {0, 1/2, 3/2 + z}}, {{0, 0, 6 + z}, {0, 1/2, 5/2 + z}}}}${{{{x, y, z/7}, {-x, -y, z/7}, {x, 1/2 - y, 1/2 + z/7}, {-x, 1/2 + y, 1/2 + z/7}}, {{x, y, (1 + z)/7}, {-x, -y, (1 + z)/7}, {x, 1/2 - y, (9 + 2*z)/14}, {-x, 1/2 + y, (9 + 2*z)/14}}, {{x, y, (2 + z)/7}, {-x, -y, (2 + z)/7}, {x, 1/2 - y, (11 + 2*z)/14}, {-x, 1/2 + y, (11 + 2*z)/14}}, {{x, y, (3 + z)/7}, {-x, -y, (3 + z)/7}, {x, 1/2 - y, (13 + 2*z)/14}, {-x, 1/2 + y, (13 + 2*z)/14}}, {{x, y, (4 + z)/7}, {-x, -y, (4 + z)/7}, {x, 1/2 - y, (1 + 2*z)/14}, {-x, 1/2 + y, (1 + 2*z)/14}}, {{x, y, (5 + z)/7}, {-x, -y, (5 + z)/7}, {x, 1/2 - y, (3 + 2*z)/14}, {-x, 1/2 + y, (3 + 2*z)/14}}, {{x, y, (6 + z)/7}, {-x, -y, (6 + z)/7}, {x, 1/2 - y, (5 + 2*z)/14}, {-x, 1/2 + y, (5 + 2*z)/14}}}, {{{1/2, 0, z/7}, {1/2, 1/2, 1/2 + z/7}}, {{1/2, 0, (1 + z)/7}, {1/2, 1/2, (9 + 2*z)/14}}, {{1/2, 0, (2 + z)/7}, {1/2, 1/2, (11 + 2*z)/14}}, {{1/2, 0, (3 + z)/7}, {1/2, 1/2, (13 + 2*z)/14}}, {{1/2, 0, (4 + z)/7}, {1/2, 1/2, (1 + 2*z)/14}}, {{1/2, 0, (5 + z)/7}, {1/2, 1/2, (3 + 2*z)/14}}, {{1/2, 0, (6 + z)/7}, {1/2, 1/2, (5 + 2*z)/14}}}, {{{0, 0, z/7}, {0, 1/2, 1/2 + z/7}}, {{0, 0, (1 + z)/7}, {0, 1/2, (9 + 2*z)/14}}, {{0, 0, (2 + z)/7}, {0, 1/2, (11 + 2*z)/14}}, {{0, 0, (3 + z)/7}, {0, 1/2, (13 + 2*z)/14}}, {{0, 0, (4 + z)/7}, {0, 1/2, (1 + 2*z)/14}}, {{0, 0, (5 + z)/7}, {0, 1/2, (3 + 2*z)/14}}, {{0, 0, (6 + z)/7}, {0, 1/2, (5 + 2*z)/14}}}}${{{{x, y, z}, {-x, -y, z}, {x, 1/2 - y, 1/2 + z}, {-x, 1/2 + y, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {x, 1/2 - y, 1/2 + z}, {-x, 1/2 + y, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {x, 1/2 - y, 1/2 + z}, {-x, 1/2 + y, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {x, 1/2 - y, 1/2 + z}, {-x, 1/2 + y, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {x, 1/2 - y, 1/2 + z}, {-x, 1/2 + y, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {x, 1/2 - y, 1/2 + z}, {-x, 1/2 + y, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {x, 1/2 - y, 1/2 + z}, {-x, 1/2 + y, 1/2 + z}}}, {{{1/2, 0, z}, {1/2, 1/2, 1/2 + z}}, {{1/2, 0, z}, {1/2, 1/2, 1/2 + z}}, {{1/2, 0, z}, {1/2, 1/2, 1/2 + z}}, {{1/2, 0, z}, {1/2, 1/2, 1/2 + z}}, {{1/2, 0, z}, {1/2, 1/2, 1/2 + z}}, {{1/2, 0, z}, {1/2, 1/2, 1/2 + z}}, {{1/2, 0, z}, {1/2, 1/2, 1/2 + z}}}, {{{0, 0, z}, {0, 1/2, 1/2 + z}}, {{0, 0, z}, {0, 1/2, 1/2 + z}}, {{0, 0, z}, {0, 1/2, 1/2 + z}}, {{0, 0, z}, {0, 1/2, 1/2 + z}}, {{0, 0, z}, {0, 1/2, 1/2 + z}}, {{0, 0, z}, {0, 1/2, 1/2 + z}}, {{0, 0, z}, {0, 1/2, 1/2 + z}}}}&OK! (#)

Listed with respect to the BNS setting:


Listed with respect to the OG setting:



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