Update README.md

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 # Photometric Data for Cometary Lightcurves
 
-This repository contains `.csv` files with photometric data for selected cases of interest. The filenames follow the format: `<objname>_<surveyname>.csv`
+This repository contains `.csv` files with photometric data for selected cases of interest. 
 
 ## Column Headers
 
@@ -18,10 +18,14 @@ Each `.csv` file includes the following columns:
 ## Example Lightcurves
 
 ### Synthetic Data
-*To be determined (TBD).*
+
+- **LPC with y=3**: [`LPC_y3.csv`](./LPC_y3.csv)  
+  _Description_: This dataset is generated using the geometries of comet **C/2021 S3** and the **Hy model**, with added scatter (σ = 0.05).
 
 ### Real Data Lightcurves
 
+The filenames follow the format: `<objname>_<surveyname>.csv`
+
 - **Typical Jupiter-Family Comet (JFC)**: [`19P_ATLAS.csv`](./19P_ATLAS.csv)
 - **Outburst Events**: [`46P_ZTF.csv`](./46P_ZTF.csv)
 - **Seasonal Effects**: [`67P_ATLAS.csv`](./67P_ATLAS.csv)