# Core scientific computing
numpy>=1.21.0
scipy>=1.7.0
healpy>=1.15.0

# Visualization
matplotlib>=3.4.0
seaborn>=0.11.0

# Bayesian analysis
emcee>=3.1.0
corner>=2.2.0

# Astronomy tools
astropy>=5.0

# Optional but recommended
pandas>=1.3.0
h5py>=3.0.0
tqdm>=4.62.0

# For parallel processing
mpi4py>=3.0.0  # Optional, for MPI support

# For documentation
jupyter>=1.0.0
ipython>=7.0.0
