OpenWrite::noopen: Cannot open /stmp/mathematica/tmp_364420.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 = 16945)HHHHRead tr. matrix for the supergroup from /tmp/wp-supertrm16945.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-subtrm16945.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-trm16945.trnHHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 7.000000 0.000000 3.000000 HHHH0.000000 0.000000 1.000000 0.000000 HHHHTransformation matrix:HHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 7.000000 0.000000 3.000000 HHHH0.000000 0.000000 1.000000 0.000000 HHHHdeterminant: 7.000000(det-ONE=6.000000)HHHHInverted of the transformation matrix:HHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 0.142857 0.000000 -0.428571 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:(x, 3.000000 + 7.000000y,z)HHHHdet = 7.000000HHHHSupergroup is transformed to unconventional setting.HHHHtake memory for 9 cells.HHHHtr. matrix:(x, 3.000000 + 7.000000y,z)HHHHNumber of gen. pos. = 4, det = 7.000000. New number of general positions: 28HHHHchange the basis with the matrix (x, 3.000000 + 7.000000y,z)HHHHAfter checking group we obtain 28 elementsHHHH000HHHHBefore expanding:HHHH(x,y,z)HHHH(-x,y, -z)HHHH(-x, 0.142857 - y, -z)HHHH(x, 0.142857 - 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(x, 0.142857 +y,z)HHHH(x, 0.285714 +y,z)HHHH(x, 0.428571 +y,z)HHHH(x, 0.571429 +y,z)HHHH(x, 0.714286 +y,z)HHHH(x, 0.857143 +y,z)HHHH(-x,y, -z)HHHH(-x, 0.142857 +y, -z)HHHH(-x, 0.285714 +y, -z)HHHH(-x, 0.428571 +y, -z)HHHH(-x, 0.571429 +y, -z)HHHH(-x, 0.714286 +y, -z)HHHH(-x, 0.857143 +y, -z)HHHH(-x, 0.142857 - y, -z)HHHH(-x, 0.285714 - y, -z)HHHH(-x, 0.428571 - y, -z)HHHH(-x, 0.571429 - y, -z)HHHH(-x, 0.714286 - y, -z)HHHH(-x, 0.857143 - y, -z)HHHH(-x, -y, -z)HHHH(x, 0.142857 - y,z)HHHH(x, 0.285714 - y,z)HHHH(x, 0.428571 - y,z)HHHH(x, 0.571429 - y,z)HHHH(x, 0.714286 - y,z)HHHH(x, 0.857143 - y,z)HHHH(x, -y,z)HHHH000HHHHSupergroup is transformed (28 gen.pos.)->return the new group.HHHH(x,y,z)HHHH(x, 0.142857 +y,z)HHHH(x, 0.285714 +y,z)HHHH(x, 0.428571 +y,z)HHHH(x, 0.571429 +y,z)HHHH(x, 0.714286 +y,z)HHHH(x, 0.857143 +y,z)HHHH(-x,y, -z)HHHH(-x, 0.142857 +y, -z)HHHH(-x, 0.285714 +y, -z)HHHH(-x, 0.428571 +y, -z)HHHH(-x, 0.571429 +y, -z)HHHH(-x, 0.714286 +y, -z)HHHH(-x, 0.857143 +y, -z)HHHH(-x, 0.142857 - y, -z)HHHH(-x, 0.285714 - y, -z)HHHH(-x, 0.428571 - y, -z)HHHH(-x, 0.571429 - y, -z)HHHH(-x, 0.714286 - y, -z)HHHH(-x, 0.857143 - y, -z)HHHH(-x, -y, -z)HHHH(x, 0.142857 - y,z)HHHH(x, 0.285714 - y,z)HHHH(x, 0.428571 - y,z)HHHH(x, 0.571429 - y,z)HHHH(x, 0.714286 - y,z)HHHH(x, 0.857143 - y,z)HHHH(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(x, 0.142857 +y,z)HHHH(x, 0.285714 +y,z)HHHH(x, 0.428571 +y,z)HHHH(x, 0.571429 +y,z)HHHH(x, 0.714286 +y,z)HHHH(x, 0.857143 +y,z)HHHH(-x,y, -z)HHHH(-x, 0.142857 +y, -z)HHHH(-x, 0.285714 +y, -z)HHHH(-x, 0.428571 +y, -z)HHHH(-x, 0.571429 +y, -z)HHHH(-x, 0.714286 +y, -z)HHHH(-x, 0.857143 +y, -z)HHHH(-x, 0.142857 - y, -z)HHHH(-x, 0.285714 - y, -z)HHHH(-x, 0.428571 - y, -z)HHHH(-x, 0.571429 - y, -z)HHHH(-x, 0.714286 - y, -z)HHHH(-x, 0.857143 - y, -z)HHHH(-x, -y, -z)HHHH(x, 0.142857 - y,z)HHHH(x, 0.285714 - y,z)HHHH(x, 0.428571 - y,z)HHHH(x, 0.571429 - y,z)HHHH(x, 0.714286 - y,z)HHHH(x, 0.857143 - y,z)HHHH(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(x, 1.000000 + 0.142857 (-3.000000 +y),z)HHHHOrbit No:1HHHHMultiplicity:2HHHHLetter:nHHHH(x, 0.642857,z)HHHHOrbit No:2HHHHMultiplicity:2HHHHLetter:mHHHH(x, 0.571429,z)HHHHOrbit No:3HHHHMultiplicity:2HHHHLetter:lHHHH(0.500000, 1.000000 + 0.142857 (-3.000000 +y), 0.500000)HHHHOrbit No:4HHHHMultiplicity:2HHHHLetter:kHHHH(0.000000, 1.000000 + 0.142857 (-3.000000 +y), 0.500000)HHHHOrbit No:5HHHHMultiplicity:2HHHHLetter:jHHHH(0.500000, 1.000000 + 0.142857 (-3.000000 +y), 0.000000)HHHHOrbit No:6HHHHMultiplicity:2HHHHLetter:iHHHH(0.000000, 1.000000 + 0.142857 (-3.000000 +y), 0.000000)HHHHOrbit No:7HHHHMultiplicity:1HHHHLetter:hHHHH(0.500000, 0.642857, 0.500000)HHHHOrbit No:8HHHHMultiplicity:1HHHHLetter:gHHHH(0.500000, 0.571429, 0.500000)HHHHOrbit No:9HHHHMultiplicity:1HHHHLetter:fHHHH(0.000000, 0.642857, 0.500000)HHHHOrbit No:10HHHHMultiplicity:1HHHHLetter:eHHHH(0.500000, 0.642857, 0.000000)HHHHOrbit No:11HHHHMultiplicity:1HHHHLetter:dHHHH(0.500000, 0.571429, 0.000000)HHHHOrbit No:12HHHHMultiplicity:1HHHHLetter:cHHHH(0.000000, 0.571429, 0.500000)HHHHOrbit No:13HHHHMultiplicity:1HHHHLetter:bHHHH(0.000000, 0.642857, 0.000000)HHHHOrbit No:14HHHHMultiplicity:1HHHHLetter:aHHHH(0.000000, 0.571429, 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: 4o 4o 4o 2nHHHH2m: 4o 4o 4o 2mHHHH2l: 2l 2l 2l 2l 2l 2l 2lHHHH2k: 2k 2k 2k 2k 2k 2k 2kHHHH2j: 2j 2j 2j 2j 2j 2j 2jHHHH2i: 2i 2i 2i 2i 2i 2i 2iHHHH1h: 2l 2l 2l 1hHHHH1g: 2l 2l 2l 1gHHHH1f: 2k 2k 2k 1fHHHH1e: 2j 2j 2j 1eHHHH1d: 2j 2j 2j 1dHHHH1c: 2k 2k 2k 1cHHHH1b: 2i 2i 2i 1bHHHH1a: 2i 2i 2i 1aHHHH&Splitting of Wyckoff position 4o: 4o 4o 4o 4o 4o 4o 4oHHHHOrbit 0:HHHH[0]TTTT(x,y,z)TTTT(x, 0.142857 (-3.000000 +y),z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-x,y, -z)TTTT(-x, 0.142857 (-3.000000 +y), -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-x, -1.000000 - y, -z)TTTT(-x, 0.142857 (-4.000000 - y), -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(x, -1.000000 - y,z)TTTT(x, 0.142857 (-4.000000 - y),z)TTTT4oTTTT(x, -y,z)HHHHOrbit 1:HHHH[0]TTTT(x, 1.000000 +y,z)TTTT(x, 0.142857 (-2.000000 +y),z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-x, 1.000000 +y, -z)TTTT(-x, 0.142857 (-2.000000 +y), -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-x, -2.000000 - y, -z)TTTT(-x, 0.142857 (-5.000000 - y), -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(x, -2.000000 - y,z)TTTT(x, 0.142857 (-5.000000 - y),z)TTTT4oTTTT(x, -y,z)HHHHOrbit 2:HHHH[0]TTTT(x, 2.000000 +y,z)TTTT(x, 0.142857 (-1.000000 +y),z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-x, 2.000000 +y, -z)TTTT(-x, 0.142857 (-1.000000 +y), -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-x, -3.000000 - y, -z)TTTT(-x, 0.142857 (-6.000000 - y), -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(x, -3.000000 - y,z)TTTT(x, 0.142857 (-6.000000 - y),z)TTTT4oTTTT(x, -y,z)HHHHOrbit 3:HHHH[0]TTTT(x, -4.000000 +y,z)TTTT(x, 0.142857 (-7.000000 +y),z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-x, -4.000000 +y, -z)TTTT(-x, 0.142857 (-7.000000 +y), -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-x, -4.000000 - y, -z)TTTT(-x, -1.000000 - 0.142857y, -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(x, -4.000000 - y,z)TTTT(x, -1.000000 - 0.142857y,z)TTTT4oTTTT(x, -y,z)HHHHOrbit 4:HHHH[0]TTTT(x, -3.000000 +y,z)TTTT(x, 0.142857 (-6.000000 +y),z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-x, -3.000000 +y, -z)TTTT(-x, 0.142857 (-6.000000 +y), -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-x, 2.000000 - y, -z)TTTT(-x, 0.142857 (-1.000000 - y), -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(x, 2.000000 - y,z)TTTT(x, 0.142857 (-1.000000 - y),z)TTTT4oTTTT(x, -y,z)HHHHOrbit 5:HHHH[0]TTTT(x, -2.000000 +y,z)TTTT(x, 0.142857 (-5.000000 +y),z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-x, -2.000000 +y, -z)TTTT(-x, 0.142857 (-5.000000 +y), -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-x, 1.000000 - y, -z)TTTT(-x, 0.142857 (-2.000000 - y), -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(x, 1.000000 - y,z)TTTT(x, 0.142857 (-2.000000 - y),z)TTTT4oTTTT(x, -y,z)HHHHOrbit 6:HHHH[0]TTTT(x, -1.000000 +y,z)TTTT(x, 0.142857 (-4.000000 +y),z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-x, -1.000000 +y, -z)TTTT(-x, 0.142857 (-4.000000 +y), -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-x, -y, -z)TTTT(-x, 0.142857 (-3.000000 - y), -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(x, -y,z)TTTT(x, 0.142857 (-3.000000 - y),z)TTTT4oTTTT(x, -y,z)HHHHGGGG$Splitting of Wyckoff position 2n: 4o 4o 4o 2nHHHHOrbit 0:HHHH[0]TTTT(x, 0.500000,z)TTTT(x, -0.357143,z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-x, 0.500000, -z)TTTT(-x, -0.357143, -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-x, -1.500000, -z)TTTT(-x, -0.642857, -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(x, -1.500000,z)TTTT(x, -0.642857,z)TTTT4oTTTT(x, -y,z)HHHHOrbit 1:HHHH[0]TTTT(x, 1.500000,z)TTTT(x, -0.214286,z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-x, 1.500000, -z)TTTT(-x, -0.214286, -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-x, -2.500000, -z)TTTT(-x, -0.785714, -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(x, -2.500000,z)TTTT(x, -0.785714,z)TTTT4oTTTT(x, -y,z)HHHHOrbit 2:HHHH[0]TTTT(x, 2.500000,z)TTTT(x, -0.071429,z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-x, 2.500000, -z)TTTT(-x, -0.071429, -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-x, -3.500000, -z)TTTT(-x, -0.928571, -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(x, -3.500000,z)TTTT(x, -0.928571,z)TTTT4oTTTT(x, -y,z)HHHHOrbit 3:HHHH[0]TTTT(x, -0.500000,z)TTTT(x, -0.500000,z)TTTT2nTTTT(x, 0.500000,z)HHHH[1]TTTT(-x, -0.500000, -z)TTTT(-x, -0.500000, -z)TTTT2nTTTT(-x, 0.500000, -z)HHHHGGGG$Splitting of Wyckoff position 2m: 4o 4o 4o 2mHHHHOrbit 0:HHHH[0]TTTT(x, 0.000000,z)TTTT(x, -0.428571,z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-x, 0.000000, -z)TTTT(-x, -0.428571, -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-x, -1.000000, -z)TTTT(-x, -0.571429, -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(x, -1.000000,z)TTTT(x, -0.571429,z)TTTT4oTTTT(x, -y,z)HHHHOrbit 1:HHHH[0]TTTT(x, 1.000000,z)TTTT(x, -0.285714,z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-x, 1.000000, -z)TTTT(-x, -0.285714, -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-x, -2.000000, -z)TTTT(-x, -0.714286, -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(x, -2.000000,z)TTTT(x, -0.714286,z)TTTT4oTTTT(x, -y,z)HHHHOrbit 2:HHHH[0]TTTT(x, 2.000000,z)TTTT(x, -0.142857,z)TTTT4oTTTT(x,y,z)HHHH[1]TTTT(-x, 2.000000, -z)TTTT(-x, -0.142857, -z)TTTT4oTTTT(-x,y, -z)HHHH[2]TTTT(-x, -3.000000, -z)TTTT(-x, -0.857143, -z)TTTT4oTTTT(-x, -y, -z)HHHH[3]TTTT(x, -3.000000,z)TTTT(x, -0.857143,z)TTTT4oTTTT(x, -y,z)HHHHOrbit 3:HHHH[0]TTTT(x, -4.000000,z)TTTT(x, -1.000000,z)TTTT2mTTTT(x, 0.000000,z)HHHH[1]TTTT(-x, -4.000000, -z)TTTT(-x, -1.000000, -z)TTTT2mTTTT(-x, 0.000000, -z)HHHHGGGG$Splitting of Wyckoff position 2l: 2l 2l 2l 2l 2l 2l 2lHHHHOrbit 0:HHHH[0]TTTT(0.500000,y, 0.500000)TTTT(0.500000, 0.142857 (-3.000000 +y), 0.500000)TTTT2lTTTT(0.500000,y, 0.500000)HHHH[1]TTTT(0.500000, -1.000000 - y, 0.500000)TTTT(0.500000, 0.142857 (-4.000000 - y), 0.500000)TTTT2lTTTT(0.500000, -y, 0.500000)HHHHOrbit 1:HHHH[0]TTTT(0.500000, 1.000000 +y, 0.500000)TTTT(0.500000, 0.142857 (-2.000000 +y), 0.500000)TTTT2lTTTT(0.500000,y, 0.500000)HHHH[1]TTTT(0.500000, -2.000000 - y, 0.500000)TTTT(0.500000, 0.142857 (-5.000000 - y), 0.500000)TTTT2lTTTT(0.500000, -y, 0.500000)HHHHOrbit 2:HHHH[0]TTTT(0.500000, 2.000000 +y, 0.500000)TTTT(0.500000, 0.142857 (-1.000000 +y), 0.500000)TTTT2lTTTT(0.500000,y, 0.500000)HHHH[1]TTTT(0.500000, -3.000000 - y, 0.500000)TTTT(0.500000, 0.142857 (-6.000000 - y), 0.500000)TTTT2lTTTT(0.500000, -y, 0.500000)HHHHOrbit 3:HHHH[0]TTTT(0.500000, -4.000000 +y, 0.500000)TTTT(0.500000, 0.142857 (-7.000000 +y), 0.500000)TTTT2lTTTT(0.500000,y, 0.500000)HHHH[1]TTTT(0.500000, -4.000000 - y, 0.500000)TTTT(0.500000, -1.000000 - 0.142857y, 0.500000)TTTT2lTTTT(0.500000, -y, 0.500000)HHHHOrbit 4:HHHH[0]TTTT(0.500000, -3.000000 +y, 0.500000)TTTT(0.500000, 0.142857 (-6.000000 +y), 0.500000)TTTT2lTTTT(0.500000,y, 0.500000)HHHH[1]TTTT(0.500000, 2.000000 - y, 0.500000)TTTT(0.500000, 0.142857 (-1.000000 - y), 0.500000)TTTT2lTTTT(0.500000, -y, 0.500000)HHHHOrbit 5:HHHH[0]TTTT(0.500000, -2.000000 +y, 0.500000)TTTT(0.500000, 0.142857 (-5.000000 +y), 0.500000)TTTT2lTTTT(0.500000,y, 0.500000)HHHH[1]TTTT(0.500000, 1.000000 - y, 0.500000)TTTT(0.500000, 0.142857 (-2.000000 - y), 0.500000)TTTT2lTTTT(0.500000, -y, 0.500000)HHHHOrbit 6:HHHH[0]TTTT(0.500000, -1.000000 +y, 0.500000)TTTT(0.500000, 0.142857 (-4.000000 +y), 0.500000)TTTT2lTTTT(0.500000,y, 0.500000)HHHH[1]TTTT(0.500000, -y, 0.500000)TTTT(0.500000, 0.142857 (-3.000000 - y), 0.500000)TTTT2lTTTT(0.500000, -y, 0.500000)HHHHGGGG$Splitting of Wyckoff position 2k: 2k 2k 2k 2k 2k 2k 2kHHHHOrbit 0:HHHH[0]TTTT(0.000000,y, 0.500000)TTTT(0.000000, 0.142857 (-3.000000 +y), 0.500000)TTTT2kTTTT(0.000000,y, 0.500000)HHHH[1]TTTT(0.000000, -1.000000 - y, 0.500000)TTTT(0.000000, 0.142857 (-4.000000 - y), 0.500000)TTTT2kTTTT(0.000000, -y, 0.500000)HHHHOrbit 1:HHHH[0]TTTT(0.000000, 1.000000 +y, 0.500000)TTTT(0.000000, 0.142857 (-2.000000 +y), 0.500000)TTTT2kTTTT(0.000000,y, 0.500000)HHHH[1]TTTT(0.000000, -2.000000 - y, 0.500000)TTTT(0.000000, 0.142857 (-5.000000 - y), 0.500000)TTTT2kTTTT(0.000000, -y, 0.500000)HHHHOrbit 2:HHHH[0]TTTT(0.000000, 2.000000 +y, 0.500000)TTTT(0.000000, 0.142857 (-1.000000 +y), 0.500000)TTTT2kTTTT(0.000000,y, 0.500000)HHHH[1]TTTT(0.000000, -3.000000 - y, 0.500000)TTTT(0.000000, 0.142857 (-6.000000 - y), 0.500000)TTTT2kTTTT(0.000000, -y, 0.500000)HHHHOrbit 3:HHHH[0]TTTT(0.000000, -4.000000 +y, 0.500000)TTTT(0.000000, 0.142857 (-7.000000 +y), 0.500000)TTTT2kTTTT(0.000000,y, 0.500000)HHHH[1]TTTT(0.000000, -4.000000 - y, 0.500000)TTTT(0.000000, -1.000000 - 0.142857y, 0.500000)TTTT2kTTTT(0.000000, -y, 0.500000)HHHHOrbit 4:HHHH[0]TTTT(0.000000, -3.000000 +y, 0.500000)TTTT(0.000000, 0.142857 (-6.000000 +y), 0.500000)TTTT2kTTTT(0.000000,y, 0.500000)HHHH[1]TTTT(0.000000, 2.000000 - y, 0.500000)TTTT(0.000000, 0.142857 (-1.000000 - y), 0.500000)TTTT2kTTTT(0.000000, -y, 0.500000)HHHHOrbit 5:HHHH[0]TTTT(0.000000, -2.000000 +y, 0.500000)TTTT(0.000000, 0.142857 (-5.000000 +y), 0.500000)TTTT2kTTTT(0.000000,y, 0.500000)HHHH[1]TTTT(0.000000, 1.000000 - y, 0.500000)TTTT(0.000000, 0.142857 (-2.000000 - y), 0.500000)TTTT2kTTTT(0.000000, -y, 0.500000)HHHHOrbit 6:HHHH[0]TTTT(0.000000, -1.000000 +y, 0.500000)TTTT(0.000000, 0.142857 (-4.000000 +y), 0.500000)TTTT2kTTTT(0.000000,y, 0.500000)HHHH[1]TTTT(0.000000, -y, 0.500000)TTTT(0.000000, 0.142857 (-3.000000 - y), 0.500000)TTTT2kTTTT(0.000000, -y, 0.500000)HHHHGGGG$Splitting of Wyckoff position 2j: 2j 2j 2j 2j 2j 2j 2jHHHHOrbit 0:HHHH[0]TTTT(0.500000,y, 0.000000)TTTT(0.500000, 0.142857 (-3.000000 +y), 0.000000)TTTT2jTTTT(0.500000,y, 0.000000)HHHH[1]TTTT(0.500000, -1.000000 - y, 0.000000)TTTT(0.500000, 0.142857 (-4.000000 - y), 0.000000)TTTT2jTTTT(0.500000, -y, 0.000000)HHHHOrbit 1:HHHH[0]TTTT(0.500000, 1.000000 +y, 0.000000)TTTT(0.500000, 0.142857 (-2.000000 +y), 0.000000)TTTT2jTTTT(0.500000,y, 0.000000)HHHH[1]TTTT(0.500000, -2.000000 - y, 0.000000)TTTT(0.500000, 0.142857 (-5.000000 - y), 0.000000)TTTT2jTTTT(0.500000, -y, 0.000000)HHHHOrbit 2:HHHH[0]TTTT(0.500000, 2.000000 +y, 0.000000)TTTT(0.500000, 0.142857 (-1.000000 +y), 0.000000)TTTT2jTTTT(0.500000,y, 0.000000)HHHH[1]TTTT(0.500000, -3.000000 - y, 0.000000)TTTT(0.500000, 0.142857 (-6.000000 - y), 0.000000)TTTT2jTTTT(0.500000, -y, 0.000000)HHHHOrbit 3:HHHH[0]TTTT(0.500000, -4.000000 +y, 0.000000)TTTT(0.500000, 0.142857 (-7.000000 +y), 0.000000)TTTT2jTTTT(0.500000,y, 0.000000)HHHH[1]TTTT(0.500000, -4.000000 - y, 0.000000)TTTT(0.500000, -1.000000 - 0.142857y, 0.000000)TTTT2jTTTT(0.500000, -y, 0.000000)HHHHOrbit 4:HHHH[0]TTTT(0.500000, -3.000000 +y, 0.000000)TTTT(0.500000, 0.142857 (-6.000000 +y), 0.000000)TTTT2jTTTT(0.500000,y, 0.000000)HHHH[1]TTTT(0.500000, 2.000000 - y, 0.000000)TTTT(0.500000, 0.142857 (-1.000000 - y), 0.000000)TTTT2jTTTT(0.500000, -y, 0.000000)HHHHOrbit 5:HHHH[0]TTTT(0.500000, -2.000000 +y, 0.000000)TTTT(0.500000, 0.142857 (-5.000000 +y), 0.000000)TTTT2jTTTT(0.500000,y, 0.000000)HHHH[1]TTTT(0.500000, 1.000000 - y, 0.000000)TTTT(0.500000, 0.142857 (-2.000000 - y), 0.000000)TTTT2jTTTT(0.500000, -y, 0.000000)HHHHOrbit 6:HHHH[0]TTTT(0.500000, -1.000000 +y, 0.000000)TTTT(0.500000, 0.142857 (-4.000000 +y), 0.000000)TTTT2jTTTT(0.500000,y, 0.000000)HHHH[1]TTTT(0.500000, -y, 0.000000)TTTT(0.500000, 0.142857 (-3.000000 - y), 0.000000)TTTT2jTTTT(0.500000, -y, 0.000000)HHHHGGGG$Splitting of Wyckoff position 2i: 2i 2i 2i 2i 2i 2i 2iHHHHOrbit 0:HHHH[0]TTTT(0.000000,y, 0.000000)TTTT(0.000000, 0.142857 (-3.000000 +y), 0.000000)TTTT2iTTTT(0.000000,y, 0.000000)HHHH[1]TTTT(0.000000, -1.000000 - y, 0.000000)TTTT(0.000000, 0.142857 (-4.000000 - y), 0.000000)TTTT2iTTTT(0.000000, -y, 0.000000)HHHHOrbit 1:HHHH[0]TTTT(0.000000, 1.000000 +y, 0.000000)TTTT(0.000000, 0.142857 (-2.000000 +y), 0.000000)TTTT2iTTTT(0.000000,y, 0.000000)HHHH[1]TTTT(0.000000, -2.000000 - y, 0.000000)TTTT(0.000000, 0.142857 (-5.000000 - y), 0.000000)TTTT2iTTTT(0.000000, -y, 0.000000)HHHHOrbit 2:HHHH[0]TTTT(0.000000, 2.000000 +y, 0.000000)TTTT(0.000000, 0.142857 (-1.000000 +y), 0.000000)TTTT2iTTTT(0.000000,y, 0.000000)HHHH[1]TTTT(0.000000, -3.000000 - y, 0.000000)TTTT(0.000000, 0.142857 (-6.000000 - y), 0.000000)TTTT2iTTTT(0.000000, -y, 0.000000)HHHHOrbit 3:HHHH[0]TTTT(0.000000, -4.000000 +y, 0.000000)TTTT(0.000000, 0.142857 (-7.000000 +y), 0.000000)TTTT2iTTTT(0.000000,y, 0.000000)HHHH[1]TTTT(0.000000, -4.000000 - y, 0.000000)TTTT(0.000000, -1.000000 - 0.142857y, 0.000000)TTTT2iTTTT(0.000000, -y, 0.000000)HHHHOrbit 4:HHHH[0]TTTT(0.000000, -3.000000 +y, 0.000000)TTTT(0.000000, 0.142857 (-6.000000 +y), 0.000000)TTTT2iTTTT(0.000000,y, 0.000000)HHHH[1]TTTT(0.000000, 2.000000 - y, 0.000000)TTTT(0.000000, 0.142857 (-1.000000 - y), 0.000000)TTTT2iTTTT(0.000000, -y, 0.000000)HHHHOrbit 5:HHHH[0]TTTT(0.000000, -2.000000 +y, 0.000000)TTTT(0.000000, 0.142857 (-5.000000 +y), 0.000000)TTTT2iTTTT(0.000000,y, 0.000000)HHHH[1]TTTT(0.000000, 1.000000 - y, 0.000000)TTTT(0.000000, 0.142857 (-2.000000 - y), 0.000000)TTTT2iTTTT(0.000000, -y, 0.000000)HHHHOrbit 6:HHHH[0]TTTT(0.000000, -1.000000 +y, 0.000000)TTTT(0.000000, 0.142857 (-4.000000 +y), 0.000000)TTTT2iTTTT(0.000000,y, 0.000000)HHHH[1]TTTT(0.000000, -y, 0.000000)TTTT(0.000000, 0.142857 (-3.000000 - y), 0.000000)TTTT2iTTTT(0.000000, -y, 0.000000)HHHHGGGG$Splitting of Wyckoff position 1h: 2l 2l 2l 1hHHHHOrbit 0:HHHH[0]TTTT(0.500000, 0.500000, 0.500000)TTTT(0.500000, -0.357143, 0.500000)TTTT2lTTTT(0.500000,y, 0.500000)HHHH[1]TTTT(0.500000, -1.500000, 0.500000)TTTT(0.500000, -0.642857, 0.500000)TTTT2lTTTT(0.500000, -y, 0.500000)HHHHOrbit 1:HHHH[0]TTTT(0.500000, 1.500000, 0.500000)TTTT(0.500000, -0.214286, 0.500000)TTTT2lTTTT(0.500000,y, 0.500000)HHHH[1]TTTT(0.500000, -2.500000, 0.500000)TTTT(0.500000, -0.785714, 0.500000)TTTT2lTTTT(0.500000, -y, 0.500000)HHHHOrbit 2:HHHH[0]TTTT(0.500000, 2.500000, 0.500000)TTTT(0.500000, -0.071429, 0.500000)TTTT2lTTTT(0.500000,y, 0.500000)HHHH[1]TTTT(0.500000, -3.500000, 0.500000)TTTT(0.500000, -0.928571, 0.500000)TTTT2lTTTT(0.500000, -y, 0.500000)HHHHOrbit 3:HHHH[0]TTTT(0.500000, -0.500000, 0.500000)TTTT(0.500000, -0.500000, 0.500000)TTTT1hTTTT(0.500000, 0.500000, 0.500000)HHHHGGGG$Splitting of Wyckoff position 1g: 2l 2l 2l 1gHHHHOrbit 0:HHHH[0]TTTT(0.500000, 0.000000, 0.500000)TTTT(0.500000, -0.428571, 0.500000)TTTT2lTTTT(0.500000,y, 0.500000)HHHH[1]TTTT(0.500000, -1.000000, 0.500000)TTTT(0.500000, -0.571429, 0.500000)TTTT2lTTTT(0.500000, -y, 0.500000)HHHHOrbit 1:HHHH[0]TTTT(0.500000, 1.000000, 0.500000)TTTT(0.500000, -0.285714, 0.500000)TTTT2lTTTT(0.500000,y, 0.500000)HHHH[1]TTTT(0.500000, -2.000000, 0.500000)TTTT(0.500000, -0.714286, 0.500000)TTTT2lTTTT(0.500000, -y, 0.500000)HHHHOrbit 2:HHHH[0]TTTT(0.500000, 2.000000, 0.500000)TTTT(0.500000, -0.142857, 0.500000)TTTT2lTTTT(0.500000,y, 0.500000)HHHH[1]TTTT(0.500000, -3.000000, 0.500000)TTTT(0.500000, -0.857143, 0.500000)TTTT2lTTTT(0.500000, -y, 0.500000)HHHHOrbit 3:HHHH[0]TTTT(0.500000, -4.000000, 0.500000)TTTT(0.500000, -1.000000, 0.500000)TTTT1gTTTT(0.500000, 0.000000, 0.500000)HHHHGGGG$Splitting of Wyckoff position 1f: 2k 2k 2k 1fHHHHOrbit 0:HHHH[0]TTTT(0.000000, 0.500000, 0.500000)TTTT(0.000000, -0.357143, 0.500000)TTTT2kTTTT(0.000000,y, 0.500000)HHHH[1]TTTT(0.000000, -1.500000, 0.500000)TTTT(0.000000, -0.642857, 0.500000)TTTT2kTTTT(0.000000, -y, 0.500000)HHHHOrbit 1:HHHH[0]TTTT(0.000000, 1.500000, 0.500000)TTTT(0.000000, -0.214286, 0.500000)TTTT2kTTTT(0.000000,y, 0.500000)HHHH[1]TTTT(0.000000, -2.500000, 0.500000)TTTT(0.000000, -0.785714, 0.500000)TTTT2kTTTT(0.000000, -y, 0.500000)HHHHOrbit 2:HHHH[0]TTTT(0.000000, 2.500000, 0.500000)TTTT(0.000000, -0.071429, 0.500000)TTTT2kTTTT(0.000000,y, 0.500000)HHHH[1]TTTT(0.000000, -3.500000, 0.500000)TTTT(0.000000, -0.928571, 0.500000)TTTT2kTTTT(0.000000, -y, 0.500000)HHHHOrbit 3:HHHH[0]TTTT(0.000000, -0.500000, 0.500000)TTTT(0.000000, -0.500000, 0.500000)TTTT1fTTTT(0.000000, 0.500000, 0.500000)HHHHGGGG$Splitting of Wyckoff position 1e: 2j 2j 2j 1eHHHHOrbit 0:HHHH[0]TTTT(0.500000, 0.500000, 0.000000)TTTT(0.500000, -0.357143, 0.000000)TTTT2jTTTT(0.500000,y, 0.000000)HHHH[1]TTTT(0.500000, -1.500000, 0.000000)TTTT(0.500000, -0.642857, 0.000000)TTTT2jTTTT(0.500000, -y, 0.000000)HHHHOrbit 1:HHHH[0]TTTT(0.500000, 1.500000, 0.000000)TTTT(0.500000, -0.214286, 0.000000)TTTT2jTTTT(0.500000,y, 0.000000)HHHH[1]TTTT(0.500000, -2.500000, 0.000000)TTTT(0.500000, -0.785714, 0.000000)TTTT2jTTTT(0.500000, -y, 0.000000)HHHHOrbit 2:HHHH[0]TTTT(0.500000, 2.500000, 0.000000)TTTT(0.500000, -0.071429, 0.000000)TTTT2jTTTT(0.500000,y, 0.000000)HHHH[1]TTTT(0.500000, -3.500000, 0.000000)TTTT(0.500000, -0.928571, 0.000000)TTTT2jTTTT(0.500000, -y, 0.000000)HHHHOrbit 3:HHHH[0]TTTT(0.500000, -0.500000, 0.000000)TTTT(0.500000, -0.500000, 0.000000)TTTT1eTTTT(0.500000, 0.500000, 0.000000)HHHHGGGG$Splitting of Wyckoff position 1d: 2j 2j 2j 1dHHHHOrbit 0:HHHH[0]TTTT(0.500000, 0.000000, 0.000000)TTTT(0.500000, -0.428571, 0.000000)TTTT2jTTTT(0.500000,y, 0.000000)HHHH[1]TTTT(0.500000, -1.000000, 0.000000)TTTT(0.500000, -0.571429, 0.000000)TTTT2jTTTT(0.500000, -y, 0.000000)HHHHOrbit 1:HHHH[0]TTTT(0.500000, 1.000000, 0.000000)TTTT(0.500000, -0.285714, 0.000000)TTTT2jTTTT(0.500000,y, 0.000000)HHHH[1]TTTT(0.500000, -2.000000, 0.000000)TTTT(0.500000, -0.714286, 0.000000)TTTT2jTTTT(0.500000, -y, 0.000000)HHHHOrbit 2:HHHH[0]TTTT(0.500000, 2.000000, 0.000000)TTTT(0.500000, -0.142857, 0.000000)TTTT2jTTTT(0.500000,y, 0.000000)HHHH[1]TTTT(0.500000, -3.000000, 0.000000)TTTT(0.500000, -0.857143, 0.000000)TTTT2jTTTT(0.500000, -y, 0.000000)HHHHOrbit 3:HHHH[0]TTTT(0.500000, -4.000000, 0.000000)TTTT(0.500000, -1.000000, 0.000000)TTTT1dTTTT(0.500000, 0.000000, 0.000000)HHHHGGGG$Splitting of Wyckoff position 1c: 2k 2k 2k 1cHHHHOrbit 0:HHHH[0]TTTT(0.000000, 0.000000, 0.500000)TTTT(0.000000, -0.428571, 0.500000)TTTT2kTTTT(0.000000,y, 0.500000)HHHH[1]TTTT(0.000000, -1.000000, 0.500000)TTTT(0.000000, -0.571429, 0.500000)TTTT2kTTTT(0.000000, -y, 0.500000)HHHHOrbit 1:HHHH[0]TTTT(0.000000, 1.000000, 0.500000)TTTT(0.000000, -0.285714, 0.500000)TTTT2kTTTT(0.000000,y, 0.500000)HHHH[1]TTTT(0.000000, -2.000000, 0.500000)TTTT(0.000000, -0.714286, 0.500000)TTTT2kTTTT(0.000000, -y, 0.500000)HHHHOrbit 2:HHHH[0]TTTT(0.000000, 2.000000, 0.500000)TTTT(0.000000, -0.142857, 0.500000)TTTT2kTTTT(0.000000,y, 0.500000)HHHH[1]TTTT(0.000000, -3.000000, 0.500000)TTTT(0.000000, -0.857143, 0.500000)TTTT2kTTTT(0.000000, -y, 0.500000)HHHHOrbit 3:HHHH[0]TTTT(0.000000, -4.000000, 0.500000)TTTT(0.000000, -1.000000, 0.500000)TTTT1cTTTT(0.000000, 0.000000, 0.500000)HHHHGGGG$Splitting of Wyckoff position 1b: 2i 2i 2i 1bHHHHOrbit 0:HHHH[0]TTTT(0.000000, 0.500000, 0.000000)TTTT(0.000000, -0.357143, 0.000000)TTTT2iTTTT(0.000000,y, 0.000000)HHHH[1]TTTT(0.000000, -1.500000, 0.000000)TTTT(0.000000, -0.642857, 0.000000)TTTT2iTTTT(0.000000, -y, 0.000000)HHHHOrbit 1:HHHH[0]TTTT(0.000000, 1.500000, 0.000000)TTTT(0.000000, -0.214286, 0.000000)TTTT2iTTTT(0.000000,y, 0.000000)HHHH[1]TTTT(0.000000, -2.500000, 0.000000)TTTT(0.000000, -0.785714, 0.000000)TTTT2iTTTT(0.000000, -y, 0.000000)HHHHOrbit 2:HHHH[0]TTTT(0.000000, 2.500000, 0.000000)TTTT(0.000000, -0.071429, 0.000000)TTTT2iTTTT(0.000000,y, 0.000000)HHHH[1]TTTT(0.000000, -3.500000, 0.000000)TTTT(0.000000, -0.928571, 0.000000)TTTT2iTTTT(0.000000, -y, 0.000000)HHHHOrbit 3:HHHH[0]TTTT(0.000000, -0.500000, 0.000000)TTTT(0.000000, -0.500000, 0.000000)TTTT1bTTTT(0.000000, 0.500000, 0.000000)HHHHGGGG$Splitting of Wyckoff position 1a: 2i 2i 2i 1aHHHHOrbit 0:HHHH[0]TTTT(0.000000, 0.000000, 0.000000)TTTT(0.000000, -0.428571, 0.000000)TTTT2iTTTT(0.000000,y, 0.000000)HHHH[1]TTTT(0.000000, -1.000000, 0.000000)TTTT(0.000000, -0.571429, 0.000000)TTTT2iTTTT(0.000000, -y, 0.000000)HHHHOrbit 1:HHHH[0]TTTT(0.000000, 1.000000, 0.000000)TTTT(0.000000, -0.285714, 0.000000)TTTT2iTTTT(0.000000,y, 0.000000)HHHH[1]TTTT(0.000000, -2.000000, 0.000000)TTTT(0.000000, -0.714286, 0.000000)TTTT2iTTTT(0.000000, -y, 0.000000)HHHHOrbit 2:HHHH[0]TTTT(0.000000, 2.000000, 0.000000)TTTT(0.000000, -0.142857, 0.000000)TTTT2iTTTT(0.000000,y, 0.000000)HHHH[1]TTTT(0.000000, -3.000000, 0.000000)TTTT(0.000000, -0.857143, 0.000000)TTTT2iTTTT(0.000000, -y, 0.000000)HHHHOrbit 3:HHHH[0]TTTT(0.000000, -4.000000, 0.000000)TTTT(0.000000, -1.000000, 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}}${{{4, o}, {4, o}, {4, o}, {4, o}, {4, o}, {4, o}, {4, o}}, {{4, o}, {4, o}, {4, o}, {2, n}}, {{4, o}, {4, o}, {4, o}, {2, m}}, {{2, l}, {2, l}, {2, l}, {2, l}, {2, l}, {2, l}, {2, l}}, {{2, k}, {2, k}, {2, k}, {2, k}, {2, k}, {2, k}, {2, k}}, {{2, j}, {2, j}, {2, j}, {2, j}, {2, j}, {2, j}, {2, j}}, {{2, i}, {2, i}, {2, i}, {2, i}, {2, i}, {2, i}, {2, i}}, {{2, l}, {2, l}, {2, l}, {1, h}}, {{2, l}, {2, l}, {2, l}, {1, g}}, {{2, k}, {2, k}, {2, k}, {1, f}}, {{2, j}, {2, j}, {2, j}, {1, e}}, {{2, j}, {2, j}, {2, j}, {1, d}}, {{2, k}, {2, k}, {2, k}, {1, c}}, {{2, i}, {2, i}, {2, i}, {1, b}}, {{2, i}, {2, i}, {2, i}, {1, a}}}${{{{x, y, z}, {-x, y, -z}, {-x, -1 - y, -z}, {x, -1 - y, z}}, {{x, 1 + y, z}, {-x, 1 + y, -z}, {-x, -2 - y, -z}, {x, -2 - y, z}}, {{x, 2 + y, z}, {-x, 2 + y, -z}, {-x, -3 - y, -z}, {x, -3 - y, z}}, {{x, -4 + y, z}, {-x, -4 + y, -z}, {-x, -4 - y, -z}, {x, -4 - y, z}}, {{x, -3 + y, z}, {-x, -3 + y, -z}, {-x, 2 - y, -z}, {x, 2 - y, z}}, {{x, -2 + y, z}, {-x, -2 + y, -z}, {-x, 1 - y, -z}, {x, 1 - y, z}}, {{x, -1 + y, z}, {-x, -1 + y, -z}, {-x, -y, -z}, {x, -y, z}}}, {{{x, 1/2, z}, {-x, 1/2, -z}, {-x, -3/2, -z}, {x, -3/2, z}}, {{x, 3/2, z}, {-x, 3/2, -z}, {-x, -5/2, -z}, {x, -5/2, z}}, {{x, 5/2, z}, {-x, 5/2, -z}, {-x, -7/2, -z}, {x, -7/2, z}}, {{x, -1/2, z}, {-x, -1/2, -z}}}, {{{x, 0, z}, {-x, 0, -z}, {-x, -1, -z}, {x, -1, z}}, {{x, 1, z}, {-x, 1, -z}, {-x, -2, -z}, {x, -2, z}}, {{x, 2, z}, {-x, 2, -z}, {-x, -3, -z}, {x, -3, z}}, {{x, -4, z}, {-x, -4, -z}}}, {{{1/2, y, 1/2}, {1/2, -1 - y, 1/2}}, {{1/2, 1 + y, 1/2}, {1/2, -2 - y, 1/2}}, {{1/2, 2 + y, 1/2}, {1/2, -3 - y, 1/2}}, {{1/2, -4 + y, 1/2}, {1/2, -4 - y, 1/2}}, {{1/2, -3 + y, 1/2}, {1/2, 2 - y, 1/2}}, {{1/2, -2 + y, 1/2}, {1/2, 1 - y, 1/2}}, {{1/2, -1 + y, 1/2}, {1/2, -y, 1/2}}}, {{{0, y, 1/2}, {0, -1 - y, 1/2}}, {{0, 1 + y, 1/2}, {0, -2 - y, 1/2}}, {{0, 2 + y, 1/2}, {0, -3 - y, 1/2}}, {{0, -4 + y, 1/2}, {0, -4 - y, 1/2}}, {{0, -3 + y, 1/2}, {0, 2 - y, 1/2}}, {{0, -2 + y, 1/2}, {0, 1 - y, 1/2}}, {{0, -1 + y, 1/2}, {0, -y, 1/2}}}, {{{1/2, y, 0}, {1/2, -1 - y, 0}}, {{1/2, 1 + y, 0}, {1/2, -2 - y, 0}}, {{1/2, 2 + y, 0}, {1/2, -3 - y, 0}}, {{1/2, -4 + y, 0}, {1/2, -4 - y, 0}}, {{1/2, -3 + y, 0}, {1/2, 2 - y, 0}}, {{1/2, -2 + y, 0}, {1/2, 1 - y, 0}}, {{1/2, -1 + y, 0}, {1/2, -y, 0}}}, {{{0, y, 0}, {0, -1 - y, 0}}, {{0, 1 + y, 0}, {0, -2 - y, 0}}, {{0, 2 + y, 0}, {0, -3 - y, 0}}, {{0, -4 + y, 0}, {0, -4 - y, 0}}, {{0, -3 + y, 0}, {0, 2 - y, 0}}, {{0, -2 + y, 0}, {0, 1 - y, 0}}, {{0, -1 + y, 0}, {0, -y, 0}}}, {{{1/2, 1/2, 1/2}, {1/2, -3/2, 1/2}}, {{1/2, 3/2, 1/2}, {1/2, -5/2, 1/2}}, {{1/2, 5/2, 1/2}, {1/2, -7/2, 1/2}}, {{1/2, -1/2, 1/2}}}, {{{1/2, 0, 1/2}, {1/2, -1, 1/2}}, {{1/2, 1, 1/2}, {1/2, -2, 1/2}}, {{1/2, 2, 1/2}, {1/2, -3, 1/2}}, {{1/2, -4, 1/2}}}, {{{0, 1/2, 1/2}, {0, -3/2, 1/2}}, {{0, 3/2, 1/2}, {0, -5/2, 1/2}}, {{0, 5/2, 1/2}, {0, -7/2, 1/2}}, {{0, -1/2, 1/2}}}, {{{1/2, 1/2, 0}, {1/2, -3/2, 0}}, {{1/2, 3/2, 0}, {1/2, -5/2, 0}}, {{1/2, 5/2, 0}, {1/2, -7/2, 0}}, {{1/2, -1/2, 0}}}, {{{1/2, 0, 0}, {1/2, -1, 0}}, {{1/2, 1, 0}, {1/2, -2, 0}}, {{1/2, 2, 0}, {1/2, -3, 0}}, {{1/2, -4, 0}}}, {{{0, 0, 1/2}, {0, -1, 1/2}}, {{0, 1, 1/2}, {0, -2, 1/2}}, {{0, 2, 1/2}, {0, -3, 1/2}}, {{0, -4, 1/2}}}, {{{0, 1/2, 0}, {0, -3/2, 0}}, {{0, 3/2, 0}, {0, -5/2, 0}}, {{0, 5/2, 0}, {0, -7/2, 0}}, {{0, -1/2, 0}}}, {{{0, 0, 0}, {0, -1, 0}}, {{0, 1, 0}, {0, -2, 0}}, {{0, 2, 0}, {0, -3, 0}}, {{0, -4, 0}}}}${{{{x, (-3 + y)/7, z}, {-x, (-3 + y)/7, -z}, {-x, (-4 - y)/7, -z}, {x, (-4 - y)/7, z}}, {{x, (-2 + y)/7, z}, {-x, (-2 + y)/7, -z}, {-x, (-5 - y)/7, -z}, {x, (-5 - y)/7, z}}, {{x, (-1 + y)/7, z}, {-x, (-1 + y)/7, -z}, {-x, (-6 - y)/7, -z}, {x, (-6 - y)/7, z}}, {{x, (-7 + y)/7, z}, {-x, (-7 + y)/7, -z}, {-x, -1 - y/7, -z}, {x, -1 - y/7, z}}, {{x, (-6 + y)/7, z}, {-x, (-6 + y)/7, -z}, {-x, (-1 - y)/7, -z}, {x, (-1 - y)/7, z}}, {{x, (-5 + y)/7, z}, {-x, (-5 + y)/7, -z}, {-x, (-2 - y)/7, -z}, {x, (-2 - y)/7, z}}, {{x, (-4 + y)/7, z}, {-x, (-4 + y)/7, -z}, {-x, (-3 - y)/7, -z}, {x, (-3 - y)/7, z}}}, {{{x, -5/14, z}, {-x, -5/14, -z}, {-x, -9/14, -z}, {x, -9/14, z}}, {{x, -3/14, z}, {-x, -3/14, -z}, {-x, -11/14, -z}, {x, -11/14, z}}, {{x, -1/14, z}, {-x, -1/14, -z}, {-x, -13/14, -z}, {x, -13/14, z}}, {{x, -1/2, z}, {-x, -1/2, -z}}}, {{{x, -3/7, z}, {-x, -3/7, -z}, {-x, -4/7, -z}, {x, -4/7, z}}, {{x, -2/7, z}, {-x, -2/7, -z}, {-x, -5/7, -z}, {x, -5/7, z}}, {{x, -1/7, z}, {-x, -1/7, -z}, {-x, -6/7, -z}, {x, -6/7, z}}, {{x, -1, z}, {-x, -1, -z}}}, {{{1/2, (-3 + y)/7, 1/2}, {1/2, (-4 - y)/7, 1/2}}, {{1/2, (-2 + y)/7, 1/2}, {1/2, (-5 - y)/7, 1/2}}, {{1/2, (-1 + y)/7, 1/2}, {1/2, (-6 - y)/7, 1/2}}, {{1/2, (-7 + y)/7, 1/2}, {1/2, -1 - y/7, 1/2}}, {{1/2, (-6 + y)/7, 1/2}, {1/2, (-1 - y)/7, 1/2}}, {{1/2, (-5 + y)/7, 1/2}, {1/2, (-2 - y)/7, 1/2}}, {{1/2, (-4 + y)/7, 1/2}, {1/2, (-3 - y)/7, 1/2}}}, {{{0, (-3 + y)/7, 1/2}, {0, (-4 - y)/7, 1/2}}, {{0, (-2 + y)/7, 1/2}, {0, (-5 - y)/7, 1/2}}, {{0, (-1 + y)/7, 1/2}, {0, (-6 - y)/7, 1/2}}, {{0, (-7 + y)/7, 1/2}, {0, -1 - y/7, 1/2}}, {{0, (-6 + y)/7, 1/2}, {0, (-1 - y)/7, 1/2}}, {{0, (-5 + y)/7, 1/2}, {0, (-2 - y)/7, 1/2}}, {{0, (-4 + y)/7, 1/2}, {0, (-3 - y)/7, 1/2}}}, {{{1/2, (-3 + y)/7, 0}, {1/2, (-4 - y)/7, 0}}, {{1/2, (-2 + y)/7, 0}, {1/2, (-5 - y)/7, 0}}, {{1/2, (-1 + y)/7, 0}, {1/2, (-6 - y)/7, 0}}, {{1/2, (-7 + y)/7, 0}, {1/2, -1 - y/7, 0}}, {{1/2, (-6 + y)/7, 0}, {1/2, (-1 - y)/7, 0}}, {{1/2, (-5 + y)/7, 0}, {1/2, (-2 - y)/7, 0}}, {{1/2, (-4 + y)/7, 0}, {1/2, (-3 - y)/7, 0}}}, {{{0, (-3 + y)/7, 0}, {0, (-4 - y)/7, 0}}, {{0, (-2 + y)/7, 0}, {0, (-5 - y)/7, 0}}, {{0, (-1 + y)/7, 0}, {0, (-6 - y)/7, 0}}, {{0, (-7 + y)/7, 0}, {0, -1 - y/7, 0}}, {{0, (-6 + y)/7, 0}, {0, (-1 - y)/7, 0}}, {{0, (-5 + y)/7, 0}, {0, (-2 - y)/7, 0}}, {{0, (-4 + y)/7, 0}, {0, (-3 - y)/7, 0}}}, {{{1/2, -5/14, 1/2}, {1/2, -9/14, 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, -1/2, 1/2}}}, {{{1/2, -3/7, 1/2}, {1/2, -4/7, 1/2}}, {{1/2, -2/7, 1/2}, {1/2, -5/7, 1/2}}, {{1/2, -1/7, 1/2}, {1/2, -6/7, 1/2}}, {{1/2, -1, 1/2}}}, {{{0, -5/14, 1/2}, {0, -9/14, 1/2}}, {{0, -3/14, 1/2}, {0, -11/14, 1/2}}, {{0, -1/14, 1/2}, {0, -13/14, 1/2}}, {{0, -1/2, 1/2}}}, {{{1/2, -5/14, 0}, {1/2, -9/14, 0}}, {{1/2, -3/14, 0}, {1/2, -11/14, 0}}, {{1/2, -1/14, 0}, {1/2, -13/14, 0}}, {{1/2, -1/2, 0}}}, {{{1/2, -3/7, 0}, {1/2, -4/7, 0}}, {{1/2, -2/7, 0}, {1/2, -5/7, 0}}, {{1/2, -1/7, 0}, {1/2, -6/7, 0}}, {{1/2, -1, 0}}}, {{{0, -3/7, 1/2}, {0, -4/7, 1/2}}, {{0, -2/7, 1/2}, {0, -5/7, 1/2}}, {{0, -1/7, 1/2}, {0, -6/7, 1/2}}, {{0, -1, 1/2}}}, {{{0, -5/14, 0}, {0, -9/14, 0}}, {{0, -3/14, 0}, {0, -11/14, 0}}, {{0, -1/14, 0}, {0, -13/14, 0}}, {{0, -1/2, 0}}}, {{{0, -3/7, 0}, {0, -4/7, 0}}, {{0, -2/7, 0}, {0, -5/7, 0}}, {{0, -1/7, 0}, {0, -6/7, 0}}, {{0, -1, 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, 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, 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, 0, z}, {-x, 0, -z}}}, {{{1/2, y, 1/2}, {1/2, -y, 1/2}}, {{1/2, y, 1/2}, {1/2, -y, 1/2}}, {{1/2, y, 1/2}, {1/2, -y, 1/2}}, {{1/2, y, 1/2}, {1/2, -y, 1/2}}, {{1/2, y, 1/2}, {1/2, -y, 1/2}}, {{1/2, y, 1/2}, {1/2, -y, 1/2}}, {{1/2, y, 1/2}, {1/2, -y, 1/2}}}, {{{0, y, 1/2}, {0, -y, 1/2}}, {{0, y, 1/2}, {0, -y, 1/2}}, {{0, y, 1/2}, {0, -y, 1/2}}, {{0, y, 1/2}, {0, -y, 1/2}}, {{0, y, 1/2}, {0, -y, 1/2}}, {{0, y, 1/2}, {0, -y, 1/2}}, {{0, y, 1/2}, {0, -y, 1/2}}}, {{{1/2, y, 0}, {1/2, -y, 0}}, {{1/2, y, 0}, {1/2, -y, 0}}, {{1/2, y, 0}, {1/2, -y, 0}}, {{1/2, y, 0}, {1/2, -y, 0}}, {{1/2, y, 0}, {1/2, -y, 0}}, {{1/2, y, 0}, {1/2, -y, 0}}, {{1/2, y, 0}, {1/2, -y, 0}}}, {{{0, y, 0}, {0, -y, 0}}, {{0, y, 0}, {0, -y, 0}}, {{0, y, 0}, {0, -y, 0}}, {{0, y, 0}, {0, -y, 0}}, {{0, y, 0}, {0, -y, 0}}, {{0, y, 0}, {0, -y, 0}}, {{0, y, 0}, {0, -y, 0}}}, {{{1/2, y, 1/2}, {1/2, -y, 1/2}}, {{1/2, y, 1/2}, {1/2, -y, 1/2}}, {{1/2, y, 1/2}, {1/2, -y, 1/2}}, {{1/2, 1/2, 1/2}}}, {{{1/2, y, 1/2}, {1/2, -y, 1/2}}, {{1/2, y, 1/2}, {1/2, -y, 1/2}}, {{1/2, y, 1/2}, {1/2, -y, 1/2}}, {{1/2, 0, 1/2}}}, {{{0, y, 1/2}, {0, -y, 1/2}}, {{0, y, 1/2}, {0, -y, 1/2}}, {{0, y, 1/2}, {0, -y, 1/2}}, {{0, 1/2, 1/2}}}, {{{1/2, y, 0}, {1/2, -y, 0}}, {{1/2, y, 0}, {1/2, -y, 0}}, {{1/2, y, 0}, {1/2, -y, 0}}, {{1/2, 1/2, 0}}}, {{{1/2, y, 0}, {1/2, -y, 0}}, {{1/2, y, 0}, {1/2, -y, 0}}, {{1/2, y, 0}, {1/2, -y, 0}}, {{1/2, 0, 0}}}, {{{0, y, 1/2}, {0, -y, 1/2}}, {{0, y, 1/2}, {0, -y, 1/2}}, {{0, y, 1/2}, {0, -y, 1/2}}, {{0, 0, 1/2}}}, {{{0, y, 0}, {0, -y, 0}}, {{0, y, 0}, {0, -y, 0}}, {{0, y, 0}, {0, -y, 0}}, {{0, 1/2, 0}}}, {{{0, y, 0}, {0, -y, 0}}, {{0, y, 0}, {0, -y, 0}}, {{0, y, 0}, {0, -y, 0}}, {{0, 0, 0}}}}&OK! (#)

Listed with respect to the BNS setting:


Listed with respect to the OG setting:



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