# Fileset [phonopy_params.yaml.xz](https://mdr.nims.go.jp/filesets/edb3ea81-5d58-4f88-a2ac-d3b62dedfe08/download) ## Creator [Atsushi Togo](https://orcid.org/0000-0001-8393-9766) ## Rights Creative Commons Attribution 4.0 International[Creative Commons BY Attribution 4.0 International](https://creativecommons.org/licenses/by/4.0/) ## Other metadata [Ab-initio phonon calculation for Ho2HgO4 / C2/m (12) / materials id 11706](https://mdr.nims.go.jp/datasets/67edaa73-6a0f-4b39-a934-85d8f0efc433) ## Fulltext phonopy: version: 2.17.1 frequency_unit_conversion_factor: 15.633302 symmetry_tolerance: 1.00000e-05 nac_unit_conversion_factor: 14.399652 configuration: save_params: ".true."physical_unit: atomic_mass: "AMU" length: "angstrom" force_constants: "eV/angstrom^2"space_group: type: "C2/m" number: 12 Hall_symbol: "-C 2y"primitive_matrix:- [ 0.500000000000000, 0.500000000000000, 0.000000000000000 ]- [ -0.500000000000000, 0.500000000000000, 0.000000000000000 ]- [ 0.000000000000000, 0.000000000000000, 1.000000000000000 ]supercell_matrix:- [ 1, 0, 0 ]- [ 0, 3, 0 ]- [ 0, 0, 1 ]primitive_cell: lattice: - 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symbol: Ho # 9 coordinates: [ 0.118562020000000, 0.118562020000000, 0.461833450000000 ] mass: 164.930320 - symbol: Ho # 10 coordinates: [ 0.881437980000000, 0.881437980000000, 0.538166550000000 ] mass: 164.930320 - symbol: Ho # 11 coordinates: [ 0.339195260000000, 0.339195260000000, 0.199249430000000 ] mass: 164.930320 - symbol: Ho # 12 coordinates: [ 0.660804740000000, 0.660804740000000, 0.800750570000000 ] mass: 164.930320 - symbol: Hg # 13 coordinates: [ 0.386990900000000, 0.386990900000000, 0.838041810000000 ] mass: 200.590000 - symbol: Hg # 14 coordinates: [ 0.613009100000000, 0.613009100000000, 0.161958190000000 ] mass: 200.590000 reciprocal_lattice: # without 2pi - [ 0.074668405126429, -0.280447463912602, 0.047918332185059 ] # a* - [ 0.074668405126429, 0.280447463912602, 0.047918332185059 ] # b* - [ 0.000443462705691, 0.000000000000000, 0.119205188199785 ] # c*unit_cell: lattice: - [ 13.424595320000000, 0.000000000000000, -0.049941680000000 ] # a - [ 0.000000000000000, 3.565730230000000, 0.000000000000000 ] # b - [ -5.396444800000000, 0.000000000000000, 8.408972270000000 ] # c points: - symbol: O # 1 coordinates: [ 0.917229210000000, 0.000000000000000, 0.347760340000000 ] mass: 15.999400 reduced_to: 1 - symbol: O # 2 coordinates: [ 0.082770790000000, 0.000000000000000, 0.652239660000000 ] mass: 15.999400 reduced_to: 2 - symbol: O # 3 coordinates: [ 0.234000730000000, 0.500000000000000, 0.613743680000000 ] mass: 15.999400 reduced_to: 3 - symbol: O # 4 coordinates: [ 0.765999270000000, 0.500000000000000, 0.386256320000000 ] mass: 15.999400 reduced_to: 4 - symbol: O # 5 coordinates: [ 0.297825830000000, 0.000000000000000, 0.947037990000000 ] mass: 15.999400 reduced_to: 5 - symbol: O # 6 coordinates: [ 0.702174170000000, 0.000000000000000, 0.052962010000000 ] mass: 15.999400 reduced_to: 6 - symbol: O # 7 coordinates: [ 0.966175290000000, 0.500000000000000, 0.716375000000000 ] mass: 15.999400 reduced_to: 7 - symbol: O # 8 coordinates: [ 0.033824710000000, 0.500000000000000, 0.283625000000000 ] mass: 15.999400 reduced_to: 8 - symbol: O # 9 coordinates: [ 0.417229210000000, 0.500000000000000, 0.347760340000000 ] mass: 15.999400 reduced_to: 1 - symbol: O # 10 coordinates: [ 0.582770790000000, 0.500000000000000, 0.652239660000000 ] mass: 15.999400 reduced_to: 2 - symbol: O # 11 coordinates: [ 0.734000730000000, 0.000000000000000, 0.613743680000000 ] mass: 15.999400 reduced_to: 3 - symbol: O # 12 coordinates: [ 0.265999270000000, 0.000000000000000, 0.386256320000000 ] mass: 15.999400 reduced_to: 4 - symbol: O # 13 coordinates: [ 0.797825830000000, 0.500000000000000, 0.947037990000000 ] mass: 15.999400 reduced_to: 5 - symbol: O # 14 coordinates: [ 0.202174170000000, 0.500000000000000, 0.052962010000000 ] mass: 15.999400 reduced_to: 6 - symbol: O # 15 coordinates: [ 0.466175290000000, 0.000000000000000, 0.716375000000000 ] mass: 15.999400 reduced_to: 7 - symbol: O # 16 coordinates: [ 0.533824710000000, 0.000000000000000, 0.283625000000000 ] mass: 15.999400 reduced_to: 8 - symbol: Ho # 17 coordinates: [ 0.118562020000000, 0.000000000000000, 0.461833450000000 ] mass: 164.930320 reduced_to: 17 - symbol: Ho # 18 coordinates: [ 0.881437980000000, 0.000000000000000, 0.538166550000000 ] mass: 164.930320 reduced_to: 18 - symbol: Ho # 19 coordinates: [ 0.839195260000000, 0.500000000000000, 0.199249430000000 ] mass: 164.930320 reduced_to: 19 - symbol: Ho # 20 coordinates: [ 0.160804740000000, 0.500000000000000, 0.800750570000000 ] mass: 164.930320 reduced_to: 20 - symbol: Ho # 21 coordinates: [ 0.618562020000000, 0.500000000000000, 0.461833450000000 ] mass: 164.930320 reduced_to: 17 - symbol: Ho # 22 coordinates: [ 0.381437980000000, 0.500000000000000, 0.538166550000000 ] mass: 164.930320 reduced_to: 18 - symbol: Ho # 23 coordinates: [ 0.339195260000000, 0.000000000000000, 0.199249430000000 ] mass: 164.930320 reduced_to: 19 - symbol: Ho # 24 coordinates: [ 0.660804740000000, 0.000000000000000, 0.800750570000000 ] mass: 164.930320 reduced_to: 20 - symbol: Hg # 25 coordinates: [ 0.386990900000000, 0.000000000000000, 0.838041810000000 ] mass: 200.590000 reduced_to: 25 - symbol: Hg # 26 coordinates: [ 0.613009100000000, 0.000000000000000, 0.161958190000000 ] mass: 200.590000 reduced_to: 26 - symbol: Hg # 27 coordinates: [ 0.886990900000000, 0.500000000000000, 0.838041810000000 ] mass: 200.590000 reduced_to: 25 - symbol: Hg # 28 coordinates: [ 0.113009100000000, 0.500000000000000, 0.161958190000000 ] mass: 200.590000 reduced_to: 26supercell: lattice: - [ 13.424595320000000, 0.000000000000000, -0.049941680000000 ] # a - [ 0.000000000000000, 10.697190689999999, 0.000000000000000 ] # b - [ -5.396444800000000, 0.000000000000000, 8.408972270000000 ] # c points: - symbol: O # 1 coordinates: [ 0.917229210000000, 0.000000000000000, 0.347760340000000 ] mass: 15.999400 reduced_to: 1 - symbol: O # 2 coordinates: [ 0.917229210000000, 0.333333333333333, 0.347760340000000 ] mass: 15.999400 reduced_to: 1 - symbol: O # 3 coordinates: [ 0.917229210000000, 0.666666666666667, 0.347760340000000 ] mass: 15.999400 reduced_to: 1 - symbol: O # 4 coordinates: [ 0.082770790000000, 0.000000000000000, 0.652239660000000 ] mass: 15.999400 reduced_to: 4 - symbol: O # 5 coordinates: [ 0.082770790000000, 0.333333333333333, 0.652239660000000 ] mass: 15.999400 reduced_to: 4 - symbol: O # 6 coordinates: [ 0.082770790000000, 0.666666666666667, 0.652239660000000 ] mass: 15.999400 reduced_to: 4 - symbol: O # 7 coordinates: [ 0.234000730000000, 0.166666666666667, 0.613743680000000 ] mass: 15.999400 reduced_to: 7 - symbol: O # 8 coordinates: [ 0.234000730000000, 0.500000000000000, 0.613743680000000 ] mass: 15.999400 reduced_to: 7 - symbol: O # 9 coordinates: [ 0.234000730000000, 0.833333333333333, 0.613743680000000 ] mass: 15.999400 reduced_to: 7 - symbol: O # 10 coordinates: [ 0.765999270000000, 0.166666666666667, 0.386256320000000 ] mass: 15.999400 reduced_to: 10 - symbol: O # 11 coordinates: [ 0.765999270000000, 0.500000000000000, 0.386256320000000 ] mass: 15.999400 reduced_to: 10 - symbol: O # 12 coordinates: [ 0.765999270000000, 0.833333333333333, 0.386256320000000 ] mass: 15.999400 reduced_to: 10 - symbol: O # 13 coordinates: [ 0.297825830000000, 0.000000000000000, 0.947037990000000 ] mass: 15.999400 reduced_to: 13 - symbol: O # 14 coordinates: [ 0.297825830000000, 0.333333333333333, 0.947037990000000 ] mass: 15.999400 reduced_to: 13 - symbol: O # 15 coordinates: [ 0.297825830000000, 0.666666666666667, 0.947037990000000 ] mass: 15.999400 reduced_to: 13 - symbol: O # 16 coordinates: [ 0.702174170000000, 0.000000000000000, 0.052962010000000 ] mass: 15.999400 reduced_to: 16 - symbol: O # 17 coordinates: [ 0.702174170000000, 0.333333333333333, 0.052962010000000 ] mass: 15.999400 reduced_to: 16 - symbol: O # 18 coordinates: [ 0.702174170000000, 0.666666666666667, 0.052962010000000 ] mass: 15.999400 reduced_to: 16 - symbol: O # 19 coordinates: [ 0.966175290000000, 0.166666666666667, 0.716375000000000 ] mass: 15.999400 reduced_to: 19 - symbol: O # 20 coordinates: [ 0.966175290000000, 0.500000000000000, 0.716375000000000 ] mass: 15.999400 reduced_to: 19 - symbol: O # 21 coordinates: [ 0.966175290000000, 0.833333333333333, 0.716375000000000 ] mass: 15.999400 reduced_to: 19 - symbol: O # 22 coordinates: [ 0.033824710000000, 0.166666666666667, 0.283625000000000 ] mass: 15.999400 reduced_to: 22 - symbol: O # 23 coordinates: [ 0.033824710000000, 0.500000000000000, 0.283625000000000 ] mass: 15.999400 reduced_to: 22 - symbol: O # 24 coordinates: [ 0.033824710000000, 0.833333333333333, 0.283625000000000 ] mass: 15.999400 reduced_to: 22 - symbol: O # 25 coordinates: [ 0.417229210000000, 0.166666666666667, 0.347760340000000 ] mass: 15.999400 reduced_to: 1 - symbol: O # 26 coordinates: [ 0.417229210000000, 0.500000000000000, 0.347760340000000 ] mass: 15.999400 reduced_to: 1 - symbol: O # 27 coordinates: [ 0.417229210000000, 0.833333333333333, 0.347760340000000 ] mass: 15.999400 reduced_to: 1 - symbol: O # 28 coordinates: [ 0.582770790000000, 0.166666666666667, 0.652239660000000 ] mass: 15.999400 reduced_to: 4 - symbol: O # 29 coordinates: [ 0.582770790000000, 0.500000000000000, 0.652239660000000 ] mass: 15.999400 reduced_to: 4 - symbol: O # 30 coordinates: [ 0.582770790000000, 0.833333333333333, 0.652239660000000 ] mass: 15.999400 reduced_to: 4 - symbol: O # 31 coordinates: [ 0.734000730000000, 0.000000000000000, 0.613743680000000 ] mass: 15.999400 reduced_to: 7 - symbol: O # 32 coordinates: [ 0.734000730000000, 0.333333333333333, 0.613743680000000 ] mass: 15.999400 reduced_to: 7 - symbol: O # 33 coordinates: [ 0.734000730000000, 0.666666666666667, 0.613743680000000 ] mass: 15.999400 reduced_to: 7 - symbol: O # 34 coordinates: [ 0.265999270000000, 0.000000000000000, 0.386256320000000 ] mass: 15.999400 reduced_to: 10 - symbol: O # 35 coordinates: [ 0.265999270000000, 0.333333333333333, 0.386256320000000 ] mass: 15.999400 reduced_to: 10 - symbol: O # 36 coordinates: [ 0.265999270000000, 0.666666666666667, 0.386256320000000 ] mass: 15.999400 reduced_to: 10 - symbol: O # 37 coordinates: [ 0.797825830000000, 0.166666666666667, 0.947037990000000 ] mass: 15.999400 reduced_to: 13 - symbol: O # 38 coordinates: [ 0.797825830000000, 0.500000000000000, 0.947037990000000 ] mass: 15.999400 reduced_to: 13 - symbol: O # 39 coordinates: [ 0.797825830000000, 0.833333333333333, 0.947037990000000 ] mass: 15.999400 reduced_to: 13 - symbol: O # 40 coordinates: [ 0.202174170000000, 0.166666666666667, 0.052962010000000 ] mass: 15.999400 reduced_to: 16 - symbol: O # 41 coordinates: [ 0.202174170000000, 0.500000000000000, 0.052962010000000 ] mass: 15.999400 reduced_to: 16 - symbol: O # 42 coordinates: [ 0.202174170000000, 0.833333333333333, 0.052962010000000 ] mass: 15.999400 reduced_to: 16 - symbol: O # 43 coordinates: [ 0.466175290000000, 0.000000000000000, 0.716375000000000 ] mass: 15.999400 reduced_to: 19 - symbol: O # 44 coordinates: [ 0.466175290000000, 0.333333333333333, 0.716375000000000 ] mass: 15.999400 reduced_to: 19 - symbol: O # 45 coordinates: [ 0.466175290000000, 0.666666666666667, 0.716375000000000 ] mass: 15.999400 reduced_to: 19 - symbol: O # 46 coordinates: [ 0.533824710000000, 0.000000000000000, 0.283625000000000 ] mass: 15.999400 reduced_to: 22 - symbol: O # 47 coordinates: [ 0.533824710000000, 0.333333333333333, 0.283625000000000 ] mass: 15.999400 reduced_to: 22 - symbol: O # 48 coordinates: [ 0.533824710000000, 0.666666666666667, 0.283625000000000 ] mass: 15.999400 reduced_to: 22 - symbol: Ho # 49 coordinates: [ 0.118562020000000, 0.000000000000000, 0.461833450000000 ] mass: 164.930320 reduced_to: 49 - symbol: Ho # 50 coordinates: [ 0.118562020000000, 0.333333333333333, 0.461833450000000 ] mass: 164.930320 reduced_to: 49 - symbol: Ho # 51 coordinates: [ 0.118562020000000, 0.666666666666667, 0.461833450000000 ] mass: 164.930320 reduced_to: 49 - symbol: Ho # 52 coordinates: [ 0.881437980000000, 0.000000000000000, 0.538166550000000 ] mass: 164.930320 reduced_to: 52 - symbol: Ho # 53 coordinates: [ 0.881437980000000, 0.333333333333333, 0.538166550000000 ] mass: 164.930320 reduced_to: 52 - symbol: Ho # 54 coordinates: [ 0.881437980000000, 0.666666666666667, 0.538166550000000 ] mass: 164.930320 reduced_to: 52 - symbol: Ho # 55 coordinates: [ 0.839195260000000, 0.166666666666667, 0.199249430000000 ] mass: 164.930320 reduced_to: 55 - symbol: Ho # 56 coordinates: [ 0.839195260000000, 0.500000000000000, 0.199249430000000 ] mass: 164.930320 reduced_to: 55 - symbol: Ho # 57 coordinates: [ 0.839195260000000, 0.833333333333333, 0.199249430000000 ] mass: 164.930320 reduced_to: 55 - symbol: Ho # 58 coordinates: [ 0.160804740000000, 0.166666666666667, 0.800750570000000 ] mass: 164.930320 reduced_to: 58 - symbol: Ho # 59 coordinates: [ 0.160804740000000, 0.500000000000000, 0.800750570000000 ] mass: 164.930320 reduced_to: 58 - symbol: Ho # 60 coordinates: [ 0.160804740000000, 0.833333333333333, 0.800750570000000 ] mass: 164.930320 reduced_to: 58 - symbol: Ho # 61 coordinates: [ 0.618562020000000, 0.166666666666667, 0.461833450000000 ] mass: 164.930320 reduced_to: 49 - symbol: Ho # 62 coordinates: [ 0.618562020000000, 0.500000000000000, 0.461833450000000 ] mass: 164.930320 reduced_to: 49 - symbol: Ho # 63 coordinates: [ 0.618562020000000, 0.833333333333333, 0.461833450000000 ] mass: 164.930320 reduced_to: 49 - symbol: Ho # 64 coordinates: [ 0.381437980000000, 0.166666666666667, 0.538166550000000 ] mass: 164.930320 reduced_to: 52 - symbol: Ho # 65 coordinates: [ 0.381437980000000, 0.500000000000000, 0.538166550000000 ] mass: 164.930320 reduced_to: 52 - symbol: Ho # 66 coordinates: [ 0.381437980000000, 0.833333333333333, 0.538166550000000 ] mass: 164.930320 reduced_to: 52 - symbol: Ho # 67 coordinates: [ 0.339195260000000, 0.000000000000000, 0.199249430000000 ] mass: 164.930320 reduced_to: 55 - symbol: Ho # 68 coordinates: [ 0.339195260000000, 0.333333333333333, 0.199249430000000 ] mass: 164.930320 reduced_to: 55 - symbol: Ho # 69 coordinates: [ 0.339195260000000, 0.666666666666667, 0.199249430000000 ] mass: 164.930320 reduced_to: 55 - symbol: Ho # 70 coordinates: [ 0.660804740000000, 0.000000000000000, 0.800750570000000 ] mass: 164.930320 reduced_to: 58 - symbol: Ho # 71 coordinates: [ 0.660804740000000, 0.333333333333333, 0.800750570000000 ] mass: 164.930320 reduced_to: 58 - symbol: Ho # 72 coordinates: [ 0.660804740000000, 0.666666666666667, 0.800750570000000 ] mass: 164.930320 reduced_to: 58 - symbol: Hg # 73 coordinates: [ 0.386990900000000, 0.000000000000000, 0.838041810000000 ] mass: 200.590000 reduced_to: 73 - symbol: Hg # 74 coordinates: [ 0.386990900000000, 0.333333333333333, 0.838041810000000 ] mass: 200.590000 reduced_to: 73 - symbol: Hg # 75 coordinates: [ 0.386990900000000, 0.666666666666667, 0.838041810000000 ] mass: 200.590000 reduced_to: 73 - symbol: Hg # 76 coordinates: [ 0.613009100000000, 0.000000000000000, 0.161958190000000 ] mass: 200.590000 reduced_to: 76 - symbol: Hg # 77 coordinates: [ 0.613009100000000, 0.333333333333333, 0.161958190000000 ] mass: 200.590000 reduced_to: 76 - symbol: Hg # 78 coordinates: [ 0.613009100000000, 0.666666666666667, 0.161958190000000 ] mass: 200.590000 reduced_to: 76 - symbol: Hg # 79 coordinates: [ 0.886990900000000, 0.166666666666667, 0.838041810000000 ] mass: 200.590000 reduced_to: 73 - symbol: Hg # 80 coordinates: [ 0.886990900000000, 0.500000000000000, 0.838041810000000 ] mass: 200.590000 reduced_to: 73 - symbol: Hg # 81 coordinates: [ 0.886990900000000, 0.833333333333333, 0.838041810000000 ] mass: 200.590000 reduced_to: 73 - symbol: Hg # 82 coordinates: [ 0.113009100000000, 0.166666666666667, 0.161958190000000 ] mass: 200.590000 reduced_to: 76 - symbol: Hg # 83 coordinates: [ 0.113009100000000, 0.500000000000000, 0.161958190000000 ] mass: 200.590000 reduced_to: 76 - symbol: Hg # 84 coordinates: [ 0.113009100000000, 0.833333333333333, 0.161958190000000 ] mass: 200.590000 reduced_to: 76born_effective_charge:- # 1 (O) - [ -2.657696510000000, -0.000000000000000, 0.083827660000000 ] - [ 0.000000000000000, -2.617766050000000, -0.000000000000000 ] - [ 0.020592370000000, -0.000000000000000, -2.390945630000000 ]- # 2 (O) - [ -2.657696510000000, -0.000000000000000, 0.083827660000000 ] - [ 0.000000000000000, -2.617766050000000, -0.000000000000000 ] - [ 0.020592370000000, -0.000000000000000, -2.390945630000000 ]- # 3 (O) - [ -2.361494850000000, -0.000000000000000, 0.027421640000000 ] - [ -0.000000000000000, -2.802343060000000, -0.000000000000000 ] - [ -0.022871800000000, -0.000000000000000, -2.632590120000000 ]- # 4 (O) - [ -2.361494850000000, -0.000000000000000, 0.027421640000000 ] - [ -0.000000000000000, -2.802343060000000, -0.000000000000000 ] - [ -0.022871800000000, -0.000000000000000, -2.632590120000000 ]- # 5 (O) - [ -2.384058830000000, 0.000000000000000, 0.488281610000000 ] - [ 0.000000000000000, -1.600781300000000, -0.000000000000000 ] - [ 0.408719330000000, 0.000000000000000, -2.364720410000000 ]- # 6 (O) - [ -2.384058830000000, 0.000000000000000, 0.488281610000000 ] - [ 0.000000000000000, -1.600781300000000, -0.000000000000000 ] - [ 0.408719330000000, 0.000000000000000, -2.364720410000000 ]- # 7 (O) - [ -2.437847710000000, 0.000000000000000, 0.139843570000000 ] - [ 0.000000000000000, -1.670574000000000, -0.000000000000000 ] - [ 0.205486820000000, 0.000000000000000, -2.131836550000000 ]- # 8 (O) - [ -2.437847710000000, 0.000000000000000, 0.139843570000000 ] - [ 0.000000000000000, -1.670574000000000, -0.000000000000000 ] - [ 0.205486820000000, 0.000000000000000, -2.131836550000000 ]- # 9 (Ho) - [ 3.667074850000001, 0.000000000000000, -0.333878650000000 ] - [ 0.000000000000000, 3.679705300000000, 0.000000000000000 ] - [ 0.086949690000000, -0.000000000000000, 4.065431300000000 ]- # 10 (Ho) - [ 3.667074850000001, 0.000000000000000, -0.333878650000000 ] - [ 0.000000000000000, 3.679705300000000, 0.000000000000000 ] - [ 0.086949690000000, -0.000000000000000, 4.065431300000000 ]- # 11 (Ho) - [ 3.914111000000001, 0.000000000000000, 0.095248890000000 ] - [ 0.000000000000000, 4.014538580000000, -0.000000000000000 ] - [ -0.165370750000000, 0.000000000000000, 3.644496250000000 ]- # 12 (Ho) - [ 3.914111000000001, 0.000000000000000, 0.095248890000000 ] - [ 0.000000000000000, 4.014538580000000, -0.000000000000000 ] - [ -0.165370750000000, 0.000000000000000, 3.644496250000000 ]- # 13 (Hg) - [ 2.259912060000000, -0.000000000000000, -0.500744730000000 ] - [ -0.000000000000000, 0.997220530000000, 0.000000000000000 ] - [ -0.533505650000000, 0.000000000000000, 1.810165160000000 ]- # 14 (Hg) - [ 2.259912060000000, -0.000000000000000, -0.500744730000000 ] - [ -0.000000000000000, 0.997220530000000, 0.000000000000000 ] - [ -0.533505650000000, 0.000000000000000, 1.810165160000000 ]dielectric_constant: - [ 5.127526520000000, 0.000000000000000, -0.256114640000000 ] - [ 0.000000000000000, 4.604974120000000, 0.000000000000000 ] - [ -0.256116030000000, 0.000000000000000, 4.983051000000000 ]displacements:- atom: 1 displacement: [ 0.0099999308026623, 0.0000000000000000, -0.0000372013704893 ] forces: - [ -0.1134222500000000, 0.0000000000000000, 0.0043674200000000 ] - [ -0.0029366800000000, -0.0008098300000000, -0.0004236600000000 ] - 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