case,k1,k2,native_surface_DOS_per_eV,analytic_surface_DOS_per_eV,analytic_Sx,analytic_Sy,analytic_Sz,native_Sx,native_Sy,native_Sz,native_spin_row_included
QPI,-0.5,-0.5,0.0019302140762031434,0.001930214077186327,-0.0,-0.0,-2.4316094930409146e-15,nan,nan,nan,0
QPI,-0.5,-0.375,0.0024474419745148597,0.0024474419695820005,0.11630234306724012,-0.0,-0.0,nan,nan,nan,0
QPI,-0.5,-0.25,0.005171967241527171,0.005171967251414372,0.24553113685336114,-0.0,-0.0,nan,nan,nan,0
QPI,-0.5,-0.125,0.022087478783470803,0.022087478892089382,0.4330808080194465,-0.0,-9.999867072131805e-17,nan,nan,nan,0
QPI,-0.5,0.0,0.11231190615308112,0.11231190656380216,-0.0,-2.641698477307886e-17,-0.0,0.0,-0.0,0.0,1
QPI,-0.5,0.125,0.022087478783470803,0.022087478892089375,-0.43308080801944665,-0.0,-0.0,nan,nan,nan,0
QPI,-0.5,0.25,0.005171967241527171,0.005171967251414373,-0.2455311368533611,-0.0,-1.067639459719168e-16,nan,nan,nan,0
QPI,-0.5,0.375,0.0024474419745148597,0.0024474419695820005,-0.11630234306724012,-0.0,-0.0,nan,nan,nan,0
QPI,-0.5,0.5,0.0019302140762031434,0.001930214077186324,-0.0,-0.0,-8.582151151909124e-16,nan,nan,nan,0
QPI,-0.375,-0.5,0.0024474419745148597,0.0024474419695820005,-0.0,-0.11630234306724012,-0.0,nan,nan,nan,0
QPI,-0.375,-0.375,0.0032308463057473024,0.0032308463187195515,0.13393082740200432,-0.13393082740200554,9.39997659280655e-16,nan,nan,nan,0
QPI,-0.375,-0.25,0.008492299036074359,0.008492299045026633,0.3139570279991815,-0.2220011434993972,3.251060927499377e-16,nan,nan,nan,0
QPI,-0.375,-0.125,0.18957775691279669,0.18957775697122795,0.6123979012599035,-0.6123979012599035,-9.320580912366526e-17,0.6123979,-0.6123979,-0.0,1
QPI,-0.375,0.0,0.4024020515581603,0.40240205317436323,-0.0,-0.2290044772056596,-0.0,-0.0,-0.22900448,-0.0,1
QPI,-0.375,0.125,0.18957775691279669,0.18957775697122795,-0.6123979012599035,-0.6123979012599035,-9.320580912366526e-17,-0.6123979,-0.6123979,-0.0,1
QPI,-0.375,0.25,0.008492299036074359,0.008492299045026633,-0.31395702799918185,-0.22200114349939667,3.901273112999252e-16,nan,nan,nan,0
QPI,-0.375,0.375,0.0032308463057473024,0.0032308463187195515,-0.13393082740200554,-0.13393082740200432,9.39997659280655e-16,nan,nan,nan,0
QPI,-0.375,0.5,0.0024474419745148597,0.0024474419695820005,-0.0,-0.11630234306724012,-5.640375124939471e-17,nan,nan,nan,0
QPI,-0.25,-0.5,0.005171967241527171,0.005171967251414372,-0.0,-0.24553113685336114,-0.0,nan,nan,nan,0
QPI,-0.25,-0.375,0.008492299036074359,0.008492299045026637,0.22200114349939712,-0.3139570279991821,-6.502121854998751e-17,nan,nan,nan,0
QPI,-0.25,-0.25,0.21650255247114422,0.2165025524373066,0.645586709521864,-0.645586709521864,-0.0,0.64558671,-0.64558671,-0.0,1
QPI,-0.25,-0.125,0.5555238803464005,0.5555238821431238,0.051269013402579916,-0.07250533408341647,-6.361472044076939e-17,0.05126901,-0.07250533,0.0,1
QPI,-0.25,0.0,0.5927718148655046,0.5927718131553714,-0.0,3.893122695530176e-18,-0.0,0.0,0.0,-0.0,1
QPI,-0.25,0.125,0.5555238803464005,0.5555238821431238,-0.05126901340257986,-0.07250533408341647,-0.0,-0.05126901,-0.07250533,0.0,1
QPI,-0.25,0.25,0.21650255247114422,0.2165025524373066,-0.6455867095218643,-0.6455867095218639,-1.6322900613811065e-16,-0.64558671,-0.64558671,0.0,1
QPI,-0.25,0.375,0.008492299036074359,0.008492299045026633,-0.22200114349939667,-0.31395702799918285,1.3004243709997506e-16,nan,nan,nan,0
QPI,-0.25,0.5,0.005171967241527171,0.005171967251414372,-0.0,-0.24553113685336106,-0.0,nan,nan,nan,0
QPI,-0.125,-0.5,0.022087478783470803,0.022087478892089375,-0.0,-0.4330808080194466,-0.0,nan,nan,nan,0
QPI,-0.125,-0.375,0.18957775691279669,0.18957775697122795,0.6123979012599032,-0.6123979012599032,-0.0,0.6123979,-0.6123979,-0.0,1
QPI,-0.125,-0.25,0.5555238803464005,0.5555238821431236,0.0725053340834166,-0.05126901340257997,6.36147204407694e-17,0.07250533,-0.05126901,0.0,1
QPI,-0.125,-0.125,0.5315139304234286,0.5315139307330718,-0.07895718276219409,0.07895718276219409,-0.0,-0.07895718,0.07895718,0.0,1
QPI,-0.125,0.0,0.4024020515581603,0.4024020531743633,-0.0,0.22900447720565945,-0.0,-0.0,0.22900448,0.0,1
QPI,-0.125,0.125,0.5315139304234286,0.5315139307330718,0.07895718276219413,0.07895718276219409,-0.0,0.07895718,0.07895718,-0.0,1
QPI,-0.125,0.25,0.5555238803464005,0.5555238821431236,-0.07250533408341661,-0.051269013402580034,-0.0,-0.07250533,-0.05126901,0.0,1
QPI,-0.125,0.375,0.18957775691279669,0.18957775697122795,-0.6123979012599035,-0.6123979012599035,-9.320580912366526e-17,-0.6123979,-0.6123979,-0.0,1
QPI,-0.125,0.5,0.022087478783470803,0.022087478892089375,-0.0,-0.43308080801944665,-0.0,nan,nan,nan,0
QPI,0.0,-0.5,0.11231190615308112,0.11231190656380216,2.641698477307886e-17,-0.0,-0.0,0.0,0.0,0.0,1
QPI,0.0,-0.375,0.4024020515581603,0.40240205317436323,0.2290044772056596,-0.0,-0.0,0.22900448,0.0,-0.0,1
QPI,0.0,-0.25,0.5927718148655046,0.5927718131553714,-3.893122695530176e-18,-0.0,-0.0,-0.0,0.0,-0.0,1
QPI,0.0,-0.125,0.4024020515581603,0.4024020531743633,-0.22900447720565945,-0.0,-0.0,-0.22900448,0.0,-0.0,1
QPI,0.0,0.0,0.11231190615308112,0.11231190656380216,-0.0,-0.0,-0.0,0.0,0.0,0.0,1
QPI,0.0,0.125,0.4024020515581603,0.4024020531743633,0.22900447720565945,-0.0,-0.0,0.22900448,-0.0,-0.0,1
QPI,0.0,0.25,0.5927718148655046,0.5927718131553714,3.893122695530176e-18,-0.0,-0.0,0.0,-0.0,-0.0,1
QPI,0.0,0.375,0.4024020515581603,0.40240205317436323,-0.2290044772056596,-0.0,-0.0,-0.22900448,-0.0,-0.0,1
QPI,0.0,0.5,0.11231190615308112,0.11231190656380216,-2.641698477307886e-17,-0.0,-0.0,-0.0,0.0,0.0,1
QPI,0.125,-0.5,0.022087478783470803,0.022087478892089375,-0.0,0.43308080801944665,-0.0,nan,nan,nan,0
QPI,0.125,-0.375,0.18957775691279669,0.18957775697122795,0.6123979012599035,0.6123979012599035,-9.320580912366526e-17,0.6123979,0.6123979,-0.0,1
QPI,0.125,-0.25,0.5555238803464005,0.5555238821431236,0.07250533408341661,0.051269013402580034,-0.0,0.07250533,0.05126901,0.0,1
QPI,0.125,-0.125,0.5315139304234286,0.5315139307330718,-0.07895718276219413,-0.07895718276219409,-0.0,-0.07895718,-0.07895718,-0.0,1
QPI,0.125,0.0,0.4024020515581603,0.4024020531743633,-0.0,-0.22900447720565945,-0.0,0.0,-0.22900448,0.0,1
QPI,0.125,0.125,0.5315139304234286,0.5315139307330718,0.07895718276219409,-0.07895718276219409,-0.0,0.07895718,-0.07895718,0.0,1
QPI,0.125,0.25,0.5555238803464005,0.5555238821431236,-0.0725053340834166,0.05126901340257997,6.36147204407694e-17,-0.07250533,0.05126901,0.0,1
QPI,0.125,0.375,0.18957775691279669,0.18957775697122795,-0.6123979012599032,0.6123979012599032,-0.0,-0.6123979,0.6123979,-0.0,1
QPI,0.125,0.5,0.022087478783470803,0.022087478892089375,-0.0,0.4330808080194466,-0.0,nan,nan,nan,0
QPI,0.25,-0.5,0.005171967241527171,0.005171967251414372,-0.0,0.24553113685336106,-0.0,nan,nan,nan,0
QPI,0.25,-0.375,0.008492299036074359,0.008492299045026633,0.22200114349939667,0.31395702799918285,1.3004243709997506e-16,nan,nan,nan,0
QPI,0.25,-0.25,0.21650255247114422,0.2165025524373066,0.6455867095218643,0.6455867095218639,-1.6322900613811065e-16,0.64558671,0.64558671,0.0,1
QPI,0.25,-0.125,0.5555238803464005,0.5555238821431238,0.05126901340257986,0.07250533408341647,-0.0,0.05126901,0.07250533,0.0,1
QPI,0.25,0.0,0.5927718148655046,0.5927718131553714,-0.0,-3.893122695530176e-18,-0.0,0.0,-0.0,0.0,1
QPI,0.25,0.125,0.5555238803464005,0.5555238821431238,-0.051269013402579916,0.07250533408341647,-6.361472044076939e-17,-0.05126901,0.07250533,0.0,1
QPI,0.25,0.25,0.21650255247114422,0.2165025524373066,-0.645586709521864,0.645586709521864,-0.0,-0.64558671,0.64558671,-0.0,1
QPI,0.25,0.375,0.008492299036074359,0.008492299045026637,-0.22200114349939712,0.3139570279991821,-6.502121854998751e-17,nan,nan,nan,0
QPI,0.25,0.5,0.005171967241527171,0.005171967251414372,-0.0,0.24553113685336114,-0.0,nan,nan,nan,0
QPI,0.375,-0.5,0.0024474419745148597,0.0024474419695820005,-0.0,0.11630234306724012,-5.640375124939471e-17,nan,nan,nan,0
QPI,0.375,-0.375,0.0032308463057473024,0.0032308463187195515,0.13393082740200554,0.13393082740200432,9.39997659280655e-16,nan,nan,nan,0
QPI,0.375,-0.25,0.008492299036074359,0.008492299045026633,0.31395702799918185,0.22200114349939667,3.901273112999252e-16,nan,nan,nan,0
QPI,0.375,-0.125,0.18957775691279669,0.18957775697122795,0.6123979012599035,0.6123979012599035,-9.320580912366526e-17,0.6123979,0.6123979,-0.0,1
QPI,0.375,0.0,0.4024020515581603,0.40240205317436323,-0.0,0.2290044772056596,-0.0,0.0,0.22900448,-0.0,1
QPI,0.375,0.125,0.18957775691279669,0.18957775697122795,-0.6123979012599032,0.6123979012599032,-0.0,-0.6123979,0.6123979,-0.0,1
QPI,0.375,0.25,0.008492299036074359,0.008492299045026633,-0.3139570279991815,0.2220011434993972,3.251060927499377e-16,nan,nan,nan,0
QPI,0.375,0.375,0.0032308463057473024,0.0032308463187195515,-0.13393082740200432,0.13393082740200554,9.39997659280655e-16,nan,nan,nan,0
QPI,0.375,0.5,0.0024474419745148597,0.0024474419695820005,-0.0,0.11630234306724012,-0.0,nan,nan,nan,0
QPI,0.5,-0.5,0.0019302140762031434,0.001930214077186324,-0.0,-0.0,-8.582151151909124e-16,nan,nan,nan,0
QPI,0.5,-0.375,0.0024474419745148597,0.0024474419695820005,0.11630234306724012,-0.0,-0.0,nan,nan,nan,0
QPI,0.5,-0.25,0.005171967241527171,0.005171967251414373,0.2455311368533611,-0.0,-1.067639459719168e-16,nan,nan,nan,0
QPI,0.5,-0.125,0.022087478783470803,0.022087478892089375,0.43308080801944665,-0.0,-0.0,nan,nan,nan,0
QPI,0.5,0.0,0.11231190615308112,0.11231190656380216,-0.0,2.641698477307886e-17,-0.0,0.0,0.0,0.0,1
QPI,0.5,0.125,0.022087478783470803,0.022087478892089382,-0.4330808080194465,-0.0,-9.999867072131805e-17,nan,nan,nan,0
QPI,0.5,0.25,0.005171967241527171,0.005171967251414372,-0.24553113685336114,-0.0,-0.0,nan,nan,nan,0
QPI,0.5,0.375,0.0024474419745148597,0.0024474419695820005,-0.11630234306724012,-0.0,-0.0,nan,nan,nan,0
QPI,0.5,0.5,0.0019302140762031434,0.001930214077186327,-0.0,-0.0,-2.4316094930409146e-15,nan,nan,nan,0
spin,-0.5,-0.5,0.0019302140762031434,0.001930214077186327,-0.0,-0.0,-2.4316094930409146e-15,nan,nan,nan,0
spin,-0.5,-0.375,0.0024474419745148597,0.0024474419695820005,0.11630234306724012,-0.0,-0.0,nan,nan,nan,0
spin,-0.5,-0.25,0.005171967241527171,0.005171967251414372,0.24553113685336114,-0.0,-0.0,nan,nan,nan,0
spin,-0.5,-0.125,0.022087478783470803,0.022087478892089382,0.4330808080194465,-0.0,-9.999867072131805e-17,nan,nan,nan,0
spin,-0.5,0.0,0.11231190615308112,0.11231190656380216,-0.0,-2.641698477307886e-17,-0.0,0.0,-0.0,0.0,1
spin,-0.5,0.125,0.022087478783470803,0.022087478892089375,-0.43308080801944665,-0.0,-0.0,nan,nan,nan,0
spin,-0.5,0.25,0.005171967241527171,0.005171967251414373,-0.2455311368533611,-0.0,-1.067639459719168e-16,nan,nan,nan,0
spin,-0.5,0.375,0.0024474419745148597,0.0024474419695820005,-0.11630234306724012,-0.0,-0.0,nan,nan,nan,0
spin,-0.5,0.5,0.0019302140762031434,0.001930214077186324,-0.0,-0.0,-8.582151151909124e-16,nan,nan,nan,0
spin,-0.375,-0.5,0.0024474419745148597,0.0024474419695820005,-0.0,-0.11630234306724012,-0.0,nan,nan,nan,0
spin,-0.375,-0.375,0.0032308463057473024,0.0032308463187195515,0.13393082740200432,-0.13393082740200554,9.39997659280655e-16,nan,nan,nan,0
spin,-0.375,-0.25,0.008492299036074359,0.008492299045026633,0.3139570279991815,-0.2220011434993972,3.251060927499377e-16,nan,nan,nan,0
spin,-0.375,-0.125,0.18957775691279669,0.18957775697122795,0.6123979012599035,-0.6123979012599035,-9.320580912366526e-17,0.6123979,-0.6123979,-0.0,1
spin,-0.375,0.0,0.4024020515581603,0.40240205317436323,-0.0,-0.2290044772056596,-0.0,-0.0,-0.22900448,-0.0,1
spin,-0.375,0.125,0.18957775691279669,0.18957775697122795,-0.6123979012599035,-0.6123979012599035,-9.320580912366526e-17,-0.6123979,-0.6123979,-0.0,1
spin,-0.375,0.25,0.008492299036074359,0.008492299045026633,-0.31395702799918185,-0.22200114349939667,3.901273112999252e-16,nan,nan,nan,0
spin,-0.375,0.375,0.0032308463057473024,0.0032308463187195515,-0.13393082740200554,-0.13393082740200432,9.39997659280655e-16,nan,nan,nan,0
spin,-0.375,0.5,0.0024474419745148597,0.0024474419695820005,-0.0,-0.11630234306724012,-5.640375124939471e-17,nan,nan,nan,0
spin,-0.25,-0.5,0.005171967241527171,0.005171967251414372,-0.0,-0.24553113685336114,-0.0,nan,nan,nan,0
spin,-0.25,-0.375,0.008492299036074359,0.008492299045026637,0.22200114349939712,-0.3139570279991821,-6.502121854998751e-17,nan,nan,nan,0
spin,-0.25,-0.25,0.21650255247114422,0.2165025524373066,0.645586709521864,-0.645586709521864,-0.0,0.64558671,-0.64558671,-0.0,1
spin,-0.25,-0.125,0.5555238803464005,0.5555238821431238,0.051269013402579916,-0.07250533408341647,-6.361472044076939e-17,0.05126901,-0.07250533,0.0,1
spin,-0.25,0.0,0.5927718148655046,0.5927718131553714,-0.0,3.893122695530176e-18,-0.0,0.0,0.0,-0.0,1
spin,-0.25,0.125,0.5555238803464005,0.5555238821431238,-0.05126901340257986,-0.07250533408341647,-0.0,-0.05126901,-0.07250533,0.0,1
spin,-0.25,0.25,0.21650255247114422,0.2165025524373066,-0.6455867095218643,-0.6455867095218639,-1.6322900613811065e-16,-0.64558671,-0.64558671,0.0,1
spin,-0.25,0.375,0.008492299036074359,0.008492299045026633,-0.22200114349939667,-0.31395702799918285,1.3004243709997506e-16,nan,nan,nan,0
spin,-0.25,0.5,0.005171967241527171,0.005171967251414372,-0.0,-0.24553113685336106,-0.0,nan,nan,nan,0
spin,-0.125,-0.5,0.022087478783470803,0.022087478892089375,-0.0,-0.4330808080194466,-0.0,nan,nan,nan,0
spin,-0.125,-0.375,0.18957775691279669,0.18957775697122795,0.6123979012599032,-0.6123979012599032,-0.0,0.6123979,-0.6123979,-0.0,1
spin,-0.125,-0.25,0.5555238803464005,0.5555238821431236,0.0725053340834166,-0.05126901340257997,6.36147204407694e-17,0.07250533,-0.05126901,0.0,1
spin,-0.125,-0.125,0.5315139304234286,0.5315139307330718,-0.07895718276219409,0.07895718276219409,-0.0,-0.07895718,0.07895718,0.0,1
spin,-0.125,0.0,0.4024020515581603,0.4024020531743633,-0.0,0.22900447720565945,-0.0,-0.0,0.22900448,0.0,1
spin,-0.125,0.125,0.5315139304234286,0.5315139307330718,0.07895718276219413,0.07895718276219409,-0.0,0.07895718,0.07895718,-0.0,1
spin,-0.125,0.25,0.5555238803464005,0.5555238821431236,-0.07250533408341661,-0.051269013402580034,-0.0,-0.07250533,-0.05126901,0.0,1
spin,-0.125,0.375,0.18957775691279669,0.18957775697122795,-0.6123979012599035,-0.6123979012599035,-9.320580912366526e-17,-0.6123979,-0.6123979,-0.0,1
spin,-0.125,0.5,0.022087478783470803,0.022087478892089375,-0.0,-0.43308080801944665,-0.0,nan,nan,nan,0
spin,0.0,-0.5,0.11231190615308112,0.11231190656380216,2.641698477307886e-17,-0.0,-0.0,0.0,0.0,0.0,1
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