# Technical Document Extraction
## Diagram (a): All 17 Variables (Test Accuracy: 81.6%)
- **Title**: "All 17 variables (test acc: 81.6%)"
- **X-axis**: Numerical range from -12 to 14 (inclusive), labeled with integer ticks.
- **Variables (17 total)**:
1. hyperbolic_torsion_degree
2. short_geodesic_real_part
3. short_geodesic_imag_part
4. injectivity_radius
5. chem_simons
6. cusp_volume
7. longitudinal_translation
8. meridional_translation_real
9. meridional_translation_imag
10. volume
11. symmetry_0
12. symmetry_D3
13. symmetry_D4
14. symmetry_D6
15. symmetry_D8
16. symmetry_Z/2 + Z/2
17. meridional_translation_real (repeated in diagram)
## Diagram (b): 3 Important Variables (Test Accuracy: 78.2%)
- **Title**: "3 important variables (test acc: 78.2%)"
- **X-axis**: Numerical range from -12 to 14 (inclusive), labeled with integer ticks.
- **Variables (3 total)**:
1. longitudinal_translation
2. meridional_translation_imag
3. meridional_translation_real
## Diagram (c): Dependence of Test Accuracy on 3 Variables
- **Title**: "Dependence of test acc on 3 variables"
- **Venn Diagram Components**:
- **meridional_translation_real** (Red):
- Unique: 65.0%
- Overlap with meridional_translation_imag: 67.3%
- Overlap with longitudinal_translation: 77.5%
- Full overlap (all three): 78.2%
- **meridional_translation_imag** (Blue):
- Unique: 43.8%
- Overlap with meridional_translation_real: 67.3%
- Overlap with longitudinal_translation: 50.8%
- Full overlap (all three): 78.2%
- **longitudinal_translation** (Green):
- Unique: 36.9%
- Overlap with meridional_translation_real: 77.5%
- Overlap with meridional_translation_imag: 50.8%
- Full overlap (all three): 78.2%
## Key Observations
1. **Test Accuracy**:
- Using all 17 variables: 81.6%
- Using 3 key variables: 78.2%
2. **Variable Importance**:
- `meridional_translation_real` contributes most to test accuracy (77.5% overlap with longitudinal_translation).
- `meridional_translation_imag` has the lowest unique contribution (43.8%).
3. **Interdependencies**:
- Full overlap of all three variables accounts for 78.2% of test accuracy.
- Unique contributions decrease as variables are combined.