Overview
Many popular math and statistics software packages are available on the HPC system.
General considerations
Available Math & Statistics Software
To get an up-to-date list of the installed math applications, log on to UVA HPC and run the following command in a terminal window:
module keyword math
To get more information about a specific module version, run the module spider command, for example:
module spider mathematica
List of Math & Statistics Software Modules
  
    
      
      
      
      
      
      
        | Module | 
        Category | 
        Description | 
      
    
    
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
            
            
            
              
                | clapack | 
              
              math  | 
              C version of LAPACK | 
            
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
            
            
            
              
                | eigen | 
              
              math  | 
              Eigen is a C++ template library for linear algebra:
 matrices, vectors, numerical solvers, and related algorithms. | 
            
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
            
            
            
              
                | elpa | 
              
              math  | 
              Eigenvalue SoLvers for Petaflop-Applications . | 
            
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
            
            
            
              
                | geos | 
              
              math  | 
              GEOS (Geometry Engine - Open Source) is a C++ port of the Java Topology Suite (JTS) | 
            
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
            
            
            
              
                | gmp | 
              
              math  | 
              GMP is a free library for arbitrary precision arithmetic, 
operating on signed integers, rational numbers, and floating point numbers.  | 
            
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
            
            
            
              
                | gurobi | 
              
              math  | 
              The Gurobi Optimizer is a state-of-the-art solver for mathematical programming.
The solvers in the Gurobi Optimizer were designed from the ground up to exploit modern 
architectures and multi-core processors, using the most advanced implementations of the 
latest algorithms. | 
            
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
            
            
            
              
                | jags | 
              
              math  | 
              JAGS is Just Another Gibbs Sampler.  It is a program for analysis 
 of Bayesian hierarchical models using Markov Chain Monte Carlo (MCMC) simulation   | 
            
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
            
            
            
              
                | libxsmm | 
              
              math  | 
              LIBXSMM is a library for small dense and small sparse matrix-matrix multiplications
targeting Intel Architecture (x86). | 
            
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
            
            
            
              
                | lpsolve | 
              
              math  | 
              Mixed Integer Linear Programming (MILP) solver | 
            
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
            
            
            
              
                | mcr | 
              
              math  | 
              The MATLAB Runtime is a standalone set of shared libraries
 that enables the execution of compiled MATLAB applications
 or components on computers that do not have MATLAB installed. | 
            
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
            
            
            
              
                | metis | 
              
              math  | 
              METIS is a set of serial programs for partitioning graphs, partitioning finite element meshes,
 and producing fill reducing orderings for sparse matrices. The algorithms implemented in METIS are based on the
 multilevel recursive-bisection, multilevel k-way, and multi-constraint partitioning schemes. | 
            
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
            
            
            
              
                | mpfr | 
              
              math  | 
              The MPFR library is a C library for multiple-precision floating-point
 computations with correct rounding.
 | 
            
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
            
            
            
              
                | netlogo | 
              
              math  | 
              NetLogo is a multi-agent programmable modeling environment. It
is used by tens of thousands of students, teachers and researchers worldwide.
It also powers HubNet participatory simulations. It is authored by Uri Wilensky
and developed at the CCL. | 
            
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
            
            
            
              
                | ntl | 
              
              math  | 
              NTL is a high-performance, portable C++ library providing data structures and algorithms 
for manipulating signed, arbitrary length integers, and for vectors, matrices, and polynomials over the 
integers and over finite fields. | 
            
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
            
            
            
              
                | sas | 
              
              math  | 
              Statistical analysis package | 
            
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
            
            
            
              
                | scotch | 
              
              math  | 
              Software package and libraries for sequential and parallel graph partitioning,
static mapping, and sparse matrix block ordering, and sequential mesh and hypergraph partitioning. | 
            
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
            
            
            
              
                | stata | 
              
              math  | 
              Stata is a complete, integrated statistical software package that provides everything you need for data analysis, data management, and graphics. | 
            
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
            
            
            
              
                | sundials | 
              
              math  | 
              SUNDIALS: SUite of Nonlinear and DIfferential/ALgebraic Equation Solvers | 
            
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
            
            
            
              
                | voro++ | 
              
              math  | 
              Voro++ is a software library for carrying out three-dimensional computations of the Voronoi
tessellation. A distinguishing feature of the Voro++ library is that it carries out cell-based calculations,
computing the Voronoi cell for each particle individually. It is particularly well-suited for applications that
rely on cell-based statistics, where features of Voronoi cells (eg. volume, centroid, number of faces) can be used
to analyze a system of particles. | 
            
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
          
            
          
        
        
          
          
        
      
        
        
        
        
        
          
            
          
        
          
            
          
        
        
          
          
        
      
    
  
Using a Specific Software Module
To use a specific software package, run the module load command. The module load command in itself does not execute any of the programs but only prepares the environment, i.e. it sets up variables needed to run specific applications and find libraries provided by the module.
After loading a module, you are ready to run the application(s) provided by the module. For example:
module load mathematica
   
  
   | 
  
   HPC, software
 
  
   math, statistics