α
βi=[βxβyβz]i
γij=[γxxγxyγxzγyxγyyγyzγzxγzyγzz]ij
γij=[γxxγxyγxzγyxγyyγyzγzxγzyγzz]ij
guv=[α2+γxxβx2+βxβyγxy+βxβzγxz+βxβyγyx+γyyβy2+βyβzγyz+βxβzγzx+βyβzγzy+γzzβz2βxγxx+βyγyx+βzγzxβxγxy+βyγyy+βzγzyβxγxz+βyγyz+βzγzzβxγxx+βyγyx+βzγzxγxxγxyγxzβxγxy+βyγyy+βzγzyγyxγyyγyzβxγxz+βyγyz+βzγzzγzxγzyγzz]uv
guv=[1α21αβx1αβy1αβz1αβxγxxβxβxα2γxyβxβyα2γxzβxβzα21αβyγyxβyβxα2γyyβyβyα2γyzβyβzα21αβzγzxβzβxα2γzyβzβyα2γzzβzβzα2]uv
Γabc=12(gab,c+gac,bgbc,a)
Γabc=[[12(2αα,t+βx2γxx,t+2βxγxxβx,t+βyγxyβx,t+βxγxyβy,t+βxβyγxy,t+βzγxzβx,t+βxγxzβz,t+βxβzγxz,t+βyγyxβx,t+βxγyxβy,t+βxβyγyx,t+βy2γyy,t+2βyγyyβy,t+βzγyzβy,t+βyγyzβz,t+βyβzγyz,t+βzγzxβx,t+βxγzxβz,t+βxβzγzx,t+βzγzyβy,t+βyγzyβz,t+βyβzγzy,t+βz2γzz,t+2βzγzzβz,t)12(2αα,x+βx2γxx,x+2βxγxxβx,x+βyγxyβx,x+βxγxyβy,x+βxβyγxy,x+βzγxzβx,x+βxγxzβz,x+βxβzγxz,x+βyγyxβx,x+βxγyxβy,x+βxβyγyx,x+βy2γyy,x+2βyγyyβy,x+βzγyzβy,x+βyγyzβz,x+βyβzγyz,x+βzγzxβx,x+βxγzxβz,x+βxβzγzx,x+βzγzyβy,x+βyγzyβz,x+βyβzγzy,x+βz2γzz,x+2βzγzzβz,x)12(2αα,y+βx2γxx,y+2βxγxxβx,y+βyγxyβx,y+βxγxyβy,y+βxβyγxy,y+βzγxzβx,y+βxγxzβz,y+βxβzγxz,y+βyγyxβx,y+βxγyxβy,y+βxβyγyx,y+βy2γyy,y+2βyγyyβy,y+βzγyzβy,y+βyγyzβz,y+βyβzγyz,y+βzγzxβx,y+βxγzxβz,y+βxβzγzx,y+βzγzyβy,y+βyγzyβz,y+βyβzγzy,y+βz2γzz,y+2βzγzzβz,y)12(2αα,z+βx2γxx,z+2βxγxxβx,z+βyγxyβx,z+βxγxyβy,z+βxβyγxy,z+βzγxzβx,z+βxγxzβz,z+βxβzγxz,z+βyγyxβx,z+βxγyxβy,z+βxβyγyx,z+βy2γyy,z+2βyγyyβy,z+βzγyzβy,z+βyγyzβz,z+βyβzγyz,z+βzγzxβx,z+βxγzxβz,z+βxβzγzx,z+βzγzyβy,z+βyγzyβz,z+βyβzγzy,z+βz2γzz,z+2βzγzzβz,z)12(2αα,x+βx2γxx,x+2βxγxxβx,x+βyγxyβx,x+βxγxyβy,x+βxβyγxy,x+βzγxzβx,x+βxγxzβz,x+βxβzγxz,x+βyγyxβx,x+βxγyxβy,x+βxβyγyx,x+βy2γyy,x+2βyγyyβy,x+βzγyzβy,x+βyγyzβz,x+βyβzγyz,x+βzγzxβx,x+βxγzxβz,x+βxβzγzx,x+βzγzyβy,x+βyγzyβz,x+βyβzγzy,x+βz2γzz,x+2βzγzzβz,x)12(2γxxβx,x+2βxγxx,x+2γyxβy,x+2βyγyx,x+2γzxβz,x+2βzγzx,xγxx,t)12(γxxβx,y+βxγxx,y+γyxβy,y+βyγyx,y+γzxβz,y+βzγzx,y+γxyβx,x+βxγxy,x+γyyβy,x+βyγyy,x+γzyβz,x+βzγzy,xγxy,t)12(γxxβx,z+βxγxx,z+γyxβy,z+βyγyx,z+γzxβz,z+βzγzx,z+γxzβx,x+βxγxz,x+γyzβy,x+βyγyz,x+γzzβz,x+βzγzz,xγxz,t)12(2αα,y+βx2γxx,y+2βxγxxβx,y+βyγxyβx,y+βxγxyβy,y+βxβyγxy,y+βzγxzβx,y+βxγxzβz,y+βxβzγxz,y+βyγyxβx,y+βxγyxβy,y+βxβyγyx,y+βy2γyy,y+2βyγyyβy,y+βzγyzβy,y+βyγyzβz,y+βyβzγyz,y+βzγzxβx,y+βxγzxβz,y+βxβzγzx,y+βzγzyβy,y+βyγzyβz,y+βyβzγzy,y+βz2γzz,y+2βzγzzβz,y)12(γxyβx,x+βxγxy,x+γyyβy,x+βyγyy,x+γzyβz,x+βzγzy,x+γxxβx,y+βxγxx,y+γyxβy,y+βyγyx,y+γzxβz,y+βzγzx,yγyx,t)12(2γxyβx,y+2βxγxy,y+2γyyβy,y+2βyγyy,y+2γzyβz,y+2βzγzy,yγyy,t)12(γxyβx,z+βxγxy,z+γyyβy,z+βyγyy,z+γzyβz,z+βzγzy,z+γxzβx,y+βxγxz,y+γyzβy,y+βyγyz,y+γzzβz,y+βzγzz,yγyz,t)12(2αα,z+βx2γxx,z+2βxγxxβx,z+βyγxyβx,z+βxγxyβy,z+βxβyγxy,z+βzγxzβx,z+βxγxzβz,z+βxβzγxz,z+βyγyxβx,z+βxγyxβy,z+βxβyγyx,z+βy2γyy,z+2βyγyyβy,z+βzγyzβy,z+βyγyzβz,z+βyβzγyz,z+βzγzxβx,z+βxγzxβz,z+βxβzγzx,z+βzγzyβy,z+βyγzyβz,z+βyβzγzy,z+βz2γzz,z+2βzγzzβz,z)12(γxzβx,x+βxγxz,x+γyzβy,x+βyγyz,x+γzzβz,x+βzγzz,x+γxxβx,z+βxγxx,z+γyxβy,z+βyγyx,z+γzxβz,z+βzγzx,zγzx,t)12(γxzβx,y+βxγxz,y+γyzβy,y+βyγyz,y+γzzβz,y+βzγzz,y+γxyβx,z+βxγxy,z+γyyβy,z+βyγyy,z+γzyβz,z+βzγzy,zγzy,t)12(2γxzβx,z+2βxγxz,z+2γyzβy,z+2βyγyz,z+2γzzβz,z+2βzγzz,zγzz,t)]bc[12(2γxxβx,t+2βxγxx,t+2γyxβy,t+2βyγyx,t+2γzxβz,t+2βzγzx,t+2αα,xβx2γxx,x2βxγxxβx,xβyγxyβx,xβxγxyβy,xβxβyγxy,xβzγxzβx,xβxγxzβz,xβxβzγxz,xβyγyxβx,xβxγyxβy,xβxβyγyx,xβy2γyy,x2βyγyyβy,xβzγyzβy,xβyγyzβz,xβyβzγyz,xβzγzxβx,xβxγzxβz,xβxβzγzx,xβzγzyβy,xβyγzyβz,xβyβzγzy,xβz2γzz,x2βzγzzβz,x)12γxx,t12(γxxβx,y+βxγxx,y+γyxβy,y+βyγyx,y+γzxβz,y+βzγzx,y+γxy,tγxyβx,xβxγxy,xγyyβy,xβyγyy,xγzyβz,xβzγzy,x)12(γxxβx,z+βxγxx,z+γyxβy,z+βyγyx,z+γzxβz,z+βzγzx,z+γxz,tγxzβx,xβxγxz,xγyzβy,xβyγyz,xγzzβz,xβzγzz,x)12γxx,t12γxx,x12γxx,y12γxx,z12(γxy,t+γxxβx,y+βxγxx,y+γyxβy,y+βyγyx,y+γzxβz,y+βzγzx,yγxyβx,xβxγxy,xγyyβy,xβyγyy,xγzyβz,xβzγzy,x)12(γxy,x+γxx,yγyx,x)12(2γxy,yγyy,x)12(γxy,z+γxz,yγyz,x)12(γxz,t+γxxβx,z+βxγxx,z+γyxβy,z+βyγyx,z+γzxβz,z+βzγzx,zγxzβx,xβxγxz,xγyzβy,xβyγyz,xγzzβz,xβzγzz,x)12(γxz,x+γxx,zγzx,x)12(γxz,y+γxy,zγzy,x)12(2γxz,zγzz,x)]bc[12(2γxyβx,t+2βxγxy,t+2γyyβy,t+2βyγyy,t+2γzyβz,t+2βzγzy,t+2αα,yβx2γxx,y2βxγxxβx,yβyγxyβx,yβxγxyβy,yβxβyγxy,yβzγxzβx,yβxγxzβz,yβxβzγxz,yβyγyxβx,yβxγyxβy,yβxβyγyx,yβy2γyy,y2βyγyyβy,yβzγyzβy,yβyγyzβz,yβyβzγyz,yβzγzxβx,yβxγzxβz,yβxβzγzx,yβzγzyβy,yβyγzyβz,yβyβzγzy,yβz2γzz,y2βzγzzβz,y)12(γxyβx,x+βxγxy,x+γyyβy,x+βyγyy,x+γzyβz,x+βzγzy,x+γyx,tγxxβx,yβxγxx,yγyxβy,yβyγyx,yγzxβz,yβzγzx,y)12γyy,t12(γxyβx,z+βxγxy,z+γyyβy,z+βyγyy,z+γzyβz,z+βzγzy,z+γyz,tγxzβx,yβxγxz,yγyzβy,yβyγyz,yγzzβz,yβzγzz,y)12(γyx,t+γxyβx,x+βxγxy,x+γyyβy,x+βyγyy,x+γzyβz,x+βzγzy,xγxxβx,yβxγxx,yγyxβy,yβyγyx,yγzxβz,yβzγzx,y)12(2γyx,xγxx,y)12(γyx,y+γyy,xγxy,y)12(γyx,z+γyz,xγxz,y)12γyy,t12γyy,x12γyy,y12γyy,z12(γyz,t+γxyβx,z+βxγxy,z+γyyβy,z+βyγyy,z+γzyβz,z+βzγzy,zγxzβx,yβxγxz,yγyzβy,yβyγyz,yγzzβz,yβzγzz,y)12(γyz,x+γyx,zγzx,y)12(γyz,y+γyy,zγzy,y)12(2γyz,zγzz,y)]bc[12(2γxzβx,t+2βxγxz,t+2γyzβy,t+2βyγyz,t+2γzzβz,t+2βzγzz,t+2αα,zβx2γxx,z2βxγxxβx,zβyγxyβx,zβxγxyβy,zβxβyγxy,zβzγxzβx,zβxγxzβz,zβxβzγxz,zβyγyxβx,zβxγyxβy,zβxβyγyx,zβy2γyy,z2βyγyyβy,zβzγyzβy,zβyγyzβz,zβyβzγyz,zβzγzxβx,zβxγzxβz,zβxβzγzx,zβzγzyβy,zβyγzyβz,zβyβzγzy,zβz2γzz,z2βzγzzβz,z)12(γxzβx,x+βxγxz,x+γyzβy,x+βyγyz,x+γzzβz,x+βzγzz,x+γzx,tγxxβx,zβxγxx,zγyxβy,zβyγyx,zγzxβz,zβzγzx,z)12(γxzβx,y+βxγxz,y+γyzβy,y+βyγyz,y+γzzβz,y+βzγzz,y+γzy,tγxyβx,zβxγxy,zγyyβy,zβyγyy,zγzyβz,zβzγzy,z)12γzz,t12(γzx,t+γxzβx,x+βxγxz,x+γyzβy,x+βyγyz,x+γzzβz,x+βzγzz,xγxxβx,zβxγxx,zγyxβy,zβyγyx,zγzxβz,zβzγzx,z)12(2γzx,xγxx,z)12(γzx,y+γzy,xγxy,z)12(γzx,z+γzz,xγxz,z)12(γzy,t+γxzβx,y+βxγxz,y+γyzβy,y+βyγyz,y+γzzβz,y+βzγzz,yγxyβx,zβxγxy,zγyyβy,zβyγyy,zγzyβz,zβzγzy,z)12(γzy,x+γzx,yγyx,z)12(2γzy,yγyy,z)12(γzy,z+γzz,yγyz,z)12γzz,t12γzz,x12γzz,y12γzz,z]bc]a[bc]
Γabc=gadΓdbc
Γabc=[[2αβzγxzβx,t+2αβxβzγxz,t+2αβzγyzβy,t+2αβyβzγyz,t+2αβzγzzβz,t+2αβz2γzz,t+2βzα2α,zαβzβx2γxx,z2αβxβzγxxβx,zαβyβzγxyβx,zαβxβzγxyβy,zαβxβyβzγxy,zαγxzβz2βx,zαβxβzγxzβz,zαβxβz2γxz,zαβyβzγyxβx,zαβxβzγyxβy,zαβxβyβzγyx,zαβzβy2γyy,z2αβyβzγyyβy,zαγyzβz2βy,zαβyβzγyzβz,zαβyβz2γyz,zαγzxβz2βx,zαβxβzγzxβz,zαβxβz2γzx,zαγzyβz2βy,zαβyβzγzyβz,zαβyβz2γzy,zαβz3γzz,z2αγzzβz2βz,z+2αβyγxyβx,t+2αβxβyγxy,t+2αβyγyyβy,t+2αβy2γyy,t+2αβyγzyβz,t+2αβyβzγzy,t+2βyα2α,yαβyβx2γxx,y2αβxβyγxxβx,yαγxyβy2βx,yαβxβyγxyβy,yαβxβy2γxy,yαβyβzγxzβx,yαβxβyγxzβz,yαβxβyβzγxz,yαγyxβy2βx,yαβxβyγyxβy,yαβxβy2γyx,yαβy3γyy,y2αγyyβy2βy,yαβyβzγyzβy,yαγyzβy2βz,yαβzβy2γyz,yαβyβzγzxβx,yαβxβyγzxβz,yαβxβyβzγzx,yαβyβzγzyβy,yαγzyβy2βz,yαβzβy2γzy,yαβyβz2γzz,y2αβyβzγzzβz,y+2αβxγxxβx,t+2αβx2γxx,t+2αβxγyxβy,t+2αβxβyγyx,t+2αβxγzxβz,t+2αβxβzγzx,t+2βxα2α,xαβx3γxx,x2αγxxβx2βx,xαβxβyγxyβx,xαγxyβx2βy,xαβyβx2γxy,xαβxβzγxzβx,xαγxzβx2βz,xαβzβx2γxz,xαβxβyγyxβx,xαγyxβx2βy,xαβyβx2γyx,xαβxβy2γyy,x2αβxβyγyyβy,xαβxβzγyzβy,xαβxβyγyzβz,xαβxβyβzγyz,xαβxβzγzxβx,xαγzxβx2βz,xαβzβx2γzx,xαβxβzγzyβy,xαβxβyγzyβz,xαβxβyβzγzy,xαβxβz2γzz,x2αβxβzγzzβz,x+2αα,tβx2γxx,t2βxγxxβx,tβyγxyβx,tβxγxyβy,tβxβyγxy,tβzγxzβx,tβxγxzβz,tβxβzγxz,tβyγyxβx,tβxγyxβy,tβxβyγyx,tβy2γyy,t2βyγyyβy,tβzγyzβy,tβyγyzβz,tβyβzγyz,tβzγzxβx,tβxγzxβz,tβxβzγzx,tβzγzyβy,tβyγzyβz,tβyβzγzy,tβz2γzz,t2βzγzzβz,t2α2αβzγxzβx,x+αβxβzγxz,x+αβzγyzβy,x+αβyβzγyz,x+αβzγzzβz,x+αβz2γzz,x+αβzγzx,tαβzγxxβx,zαβxβzγxx,zαβzγyxβy,zαβyβzγyx,zαβzγzxβz,zαβz2γzx,z+αβyγxyβx,x+αβxβyγxy,x+αβyγyyβy,x+αβy2γyy,x+αβyγzyβz,x+αβyβzγzy,x+αβyγyx,tαβyγxxβx,yαβxβyγxx,yαβyγyxβy,yαβy2γyx,yαβyγzxβz,yαβyβzγzx,y+αβxγxx,t+2αα,xβx2γxx,x2βxγxxβx,xβyγxyβx,xβxγxyβy,xβxβyγxy,xβzγxzβx,xβxγxzβz,xβxβzγxz,xβyγyxβx,xβxγyxβy,xβxβyγyx,xβy2γyy,x2βyγyyβy,xβzγyzβy,xβyγyzβz,xβyβzγyz,xβzγzxβx,xβxγzxβz,xβxβzγzx,xβzγzyβy,xβyγzyβz,xβyβzγzy,xβz2γzz,x2βzγzzβz,x2α2αβzγxzβx,y+αβxβzγxz,y+αβzγyzβy,y+αβyβzγyz,y+αβzγzzβz,y+αβz2γzz,y+αβzγzy,tαβzγxyβx,zαβxβzγxy,zαβzγyyβy,zαβyβzγyy,zαβzγzyβz,zαβz2γzy,z+αβyγyy,t+αβxγxxβx,y+αβx2γxx,y+αβxγyxβy,y+αβxβyγyx,y+αβxγzxβz,y+αβxβzγzx,y+αβxγxy,tαβxγxyβx,xαβx2γxy,xαβxγyyβy,xαβxβyγyy,xαβxγzyβz,xαβxβzγzy,x+2αα,yβx2γxx,y2βxγxxβx,yβyγxyβx,yβxγxyβy,yβxβyγxy,yβzγxzβx,yβxγxzβz,yβxβzγxz,yβyγyxβx,yβxγyxβy,yβxβyγyx,yβy2γyy,y2βyγyyβy,yβzγyzβy,yβyγyzβz,yβyβzγyz,yβzγzxβx,yβxγzxβz,yβxβzγzx,yβzγzyβy,yβyγzyβz,yβyβzγzy,yβz2γzz,y2βzγzzβz,y2α2αβzγzz,t+αβyγxyβx,z+αβxβyγxy,z+αβyγyyβy,z+αβy2γyy,z+αβyγzyβz,z+αβyβzγzy,z+αβyγyz,tαβyγxzβx,yαβxβyγxz,yαβyγyzβy,yαβy2γyz,yαβyγzzβz,yαβyβzγzz,y+αβxγxxβx,z+αβx2γxx,z+αβxγyxβy,z+αβxβyγyx,z+αβxγzxβz,z+αβxβzγzx,z+αβxγxz,tαβxγxzβx,xαβx2γxz,xαβxγyzβy,xαβxβyγyz,xαβxγzzβz,xαβxβzγzz,x+2αα,zβx2γxx,z2βxγxxβx,zβyγxyβx,zβxγxyβy,zβxβyγxy,zβzγxzβx,zβxγxzβz,zβxβzγxz,zβyγyxβx,zβxγyxβy,zβxβyγyx,zβy2γyy,z2βyγyyβy,zβzγyzβy,zβyγyzβz,zβyβzγyz,zβzγzxβx,zβxγzxβz,zβxβzγzx,zβzγzyβy,zβyγzyβz,zβyβzγzy,zβz2γzz,z2βzγzzβz,z2α2αβzγzx,t+αβzγxzβx,x+αβxβzγxz,x+αβzγyzβy,x+αβyβzγyz,x+αβzγzzβz,x+αβz2γzz,xαβzγxxβx,zαβxβzγxx,zαβzγyxβy,zαβyβzγyx,zαβzγzxβz,zαβz2γzx,z+αβyγyx,t+αβyγxyβx,x+αβxβyγxy,x+αβyγyyβy,x+αβy2γyy,x+αβyγzyβz,x+αβyβzγzy,xαβyγxxβx,yαβxβyγxx,yαβyγyxβy,yαβy2γyx,yαβyγzxβz,yαβyβzγzx,y+αβxγxx,t+2αα,xβx2γxx,x2βxγxxβx,xβyγxyβx,xβxγxyβy,xβxβyγxy,xβzγxzβx,xβxγxzβz,xβxβzγxz,xβyγyxβx,xβxγyxβy,xβxβyγyx,xβy2γyy,x2βyγyyβy,xβzγyzβy,xβyγyzβz,xβyβzγyz,xβzγzxβx,xβxγzxβz,xβxβzγzx,xβzγzyβy,xβyγzyβz,xβyβzγzy,xβz2γzz,x2βzγzzβz,x2α22αβzγzx,xαβzγxx,z+2αβyγyx,xαβyγxx,y+αβxγxx,x2γxxβx,x2βxγxx,x2γyxβy,x2βyγyx,x2γzxβz,x2βzγzx,x+γxx,t2α2αβzγzx,y+αβzγzy,xαβzγxy,z+αβyγyx,y+αβyγyy,xαβyγxy,y+αβxγxx,yγxxβx,yβxγxx,yγyxβy,yβyγyx,yγzxβz,yβzγzx,yγxyβx,xβxγxy,xγyyβy,xβyγyy,xγzyβz,xβzγzy,x+γxy,t2α2αβzγzx,z+αβzγzz,xαβzγxz,z+αβyγyx,z+αβyγyz,xαβyγxz,y+αβxγxx,zγxxβx,zβxγxx,zγyxβy,zβyγyx,zγzxβz,zβzγzx,zγxzβx,xβxγxz,xγyzβy,xβyγyz,xγzzβz,xβzγzz,x+γxz,t2α2αβzγzy,t+αβzγxzβx,y+αβxβzγxz,y+αβzγyzβy,y+αβyβzγyz,y+αβzγzzβz,y+αβz2γzz,yαβzγxyβx,zαβxβzγxy,zαβzγyyβy,zαβyβzγyy,zαβzγzyβz,zαβz2γzy,z+αβyγyy,t+αβxγxy,t+αβxγxxβx,y+αβx2γxx,y+αβxγyxβy,y+αβxβyγyx,y+αβxγzxβz,y+αβxβzγzx,yαβxγxyβx,xαβx2γxy,xαβxγyyβy,xαβxβyγyy,xαβxγzyβz,xαβxβzγzy,x+2αα,yβx2γxx,y2βxγxxβx,yβyγxyβx,yβxγxyβy,yβxβyγxy,yβzγxzβx,yβxγxzβz,yβxβzγxz,yβyγyxβx,yβxγyxβy,yβxβyγyx,yβy2γyy,y2βyγyyβy,yβzγyzβy,yβyγyzβz,yβyβzγyz,yβzγzxβx,yβxγzxβz,yβxβzγzx,yβzγzyβy,yβyγzyβz,yβyβzγzy,yβz2γzz,y2βzγzzβz,y2α2αβzγzy,x+αβzγzx,yαβzγyx,z+αβyγyy,x+αβxγxy,x+αβxγxx,yαβxγyx,xγxyβx,xβxγxy,xγyyβy,xβyγyy,xγzyβz,xβzγzy,xγxxβx,yβxγxx,yγyxβy,yβyγyx,yγzxβz,yβzγzx,y+γyx,t2α22αβzγzy,yαβzγyy,z+αβyγyy,y+2αβxγxy,yαβxγyy,x2γxyβx,y2βxγxy,y2γyyβy,y2βyγyy,y2γzyβz,y2βzγzy,y+γyy,t2α2αβzγzy,z+αβzγzz,yαβzγyz,z+αβyγyy,z+αβxγxy,z+αβxγxz,yαβxγyz,xγxyβx,zβxγxy,zγyyβy,zβyγyy,zγzyβz,zβzγzy,zγxzβx,yβxγxz,yγyzβy,yβyγyz,yγzzβz,yβzγzz,y+γyz,t2α2αβzγzz,t+αβyγyz,t+αβyγxyβx,z+αβxβyγxy,z+αβyγyyβy,z+αβy2γyy,z+αβyγzyβz,z+αβyβzγzy,zαβyγxzβx,yαβxβyγxz,yαβyγyzβy,yαβy2γyz,yαβyγzzβz,yαβyβzγzz,y+αβxγxz,t+αβxγxxβx,z+αβx2γxx,z+αβxγyxβy,z+αβxβyγyx,z+αβxγzxβz,z+αβxβzγzx,zαβxγxzβx,xαβx2γxz,xαβxγyzβy,xαβxβyγyz,xαβxγzzβz,xαβxβzγzz,x+2αα,zβx2γxx,z2βxγxxβx,zβyγxyβx,zβxγxyβy,zβxβyγxy,zβzγxzβx,zβxγxzβz,zβxβzγxz,zβyγyxβx,zβxγyxβy,zβxβyγyx,zβy2γyy,z2β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