Refactor README.md for improved clarity and structure of included scripts and results

Author: Arcticoder

README.md

@@ -1,12 +1,10 @@
-
-
 # A Universal Generating Functional for SU(2) 3nj Symbols
 
 **Author:** Arcticoder
 
 ## About this Repository
 
-This repository contains a paper on a universal generating functional for SU(2) 3nj symbols. The mathematical content is best viewed through GitHub Pages where the LaTeX equations are properly rendered.
+This repository contains a paper on a universal generating functional for SU(2) 3nj symbols. The mathematical content is best viewed through GitHub Pages, where the LaTeX equations are properly rendered.
 
 ## View the Paper
 
@@ -21,4 +19,18 @@ This repository includes:
 - `_config.yml` - Configuration for GitHub Pages with Jekyll
 - Original LaTeX source file and PDF
 
+## Included Scripts
+
+This repository includes Python scripts that calculate and verify the mathematical results:
+
+- [`compute_G_xy_series_coefficients.py`](scripts/compute_G_xy_series_coefficients.py): Computes series coefficients of the generating function for 6-j symbols.
+- [`compute_hilbert_series_coefficients_n2_6.py`](scripts/compute_hilbert_series_coefficients_n2_6.py): Computes Hilbert series coefficients for \( n=2 \) to \( n=6 \).
+- [`test_15j_generating_function.py`](scripts/test_15j_generating_function.py): Tests specific terms of the 15-j generating function.
+
+## Data and Results
+
+Results of running these scripts:
 
+- [`series_coefficients_G_xy_up_to2.csv`](data/series_coefficients_G_xy_up_to2.csv)
+- [`hilbert_series_coeffs_n2_6.csv`](data/hilbert_series_coeffs_n2_6.csv)
+- [`15j_generating_function_tests.csv`](data/15j_generating_function_tests.csv)