| subroutine newmrk  | 
          ( | 
          integer  | 
          istr,  | 
        
        
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          double precision  | 
          alpnmk,  | 
        
        
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          double precision  | 
          betnmk,  | 
        
        
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          double precision  | 
          gamnmk,  | 
        
        
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          double precision, dimension(3,3)  | 
          xm,  | 
        
        
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          double precision, dimension(3,3)  | 
          xc,  | 
        
        
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          double precision, dimension(3,3)  | 
          xk,  | 
        
        
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          double precision, dimension(3)  | 
          xn0,  | 
        
        
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          double precision, dimension(3)  | 
          xn,  | 
        
        
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          double precision, dimension(3)  | 
          xpn,  | 
        
        
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          double precision, dimension(3)  | 
          xppn,  | 
        
        
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          double precision, dimension(3)  | 
          xnm1,  | 
        
        
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          double precision, dimension(3)  | 
          xpnm1,  | 
        
        
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          double precision, dimension(3)  | 
          xppnm1,  | 
        
        
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          double precision, dimension(3)  | 
          xfn,  | 
        
        
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          double precision, dimension(3)  | 
          xfnm1,  | 
        
        
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          double precision  | 
          dt  | 
        
        
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          ) | 
           |  |