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@stoprightthere
stoprightthere committed Apr 10, 2024
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Expand Up @@ -70,26 +70,26 @@ assert out.numpy().shape == (101, num_harmonics)

The fundamental systems up to dimensino 20 are precomputed and stored in `spherical_harmonics/fundamental_system`. For each dimension we precompute the first amount of spherical harmonics. This means that in each dimension we support a varying number of maximum degree (`max_degree`) and number of spherical harmonics:

| Dimension | Max Degree | Number Harmonics |
|------------:|-------------:|-------------------:|
| 3 | 34 | 1156 |
| 4 | 14 | 1015 |
| 5 | 10 | 1210 |
| 6 | 8 | 1254 |
| 7 | 7 | 1386 |
| 8 | 6 | 1122 |
| 9 | 6 | 1782 |
| 10 | 6 | 2717 |
| 11 | 5 | 1287 |
| 12 | 5 | 1729 |
| 13 | 5 | 2275 |
| 14 | 5 | 2940 |
| 15 | 5 | 3740 |
| 16 | 4 | 952 |
| 17 | 4 | 1122 |
| 18 | 4 | 1311 |
| 19 | 4 | 1520 |
| 20 | 4 | 1750 |
| Dimension | Max Degree | Number Harmonics |
|----------:|-----------:|-----------------:|
| 3 | 34 | 1156 |
| 4 | 20 | 2870 |
| 5 | 10 | 16170 |
| 6 | 8 | 1254 |
| 7 | 7 | 1386 |
| 8 | 6 | 1122 |
| 9 | 6 | 1782 |
| 10 | 6 | 2717 |
| 11 | 5 | 1287 |
| 12 | 5 | 1729 |
| 13 | 5 | 2275 |
| 14 | 5 | 2940 |
| 15 | 5 | 3740 |
| 16 | 4 | 952 |
| 17 | 4 | 1122 |
| 18 | 4 | 1311 |
| 19 | 4 | 1520 |
| 20 | 4 | 1750 |

To precompute a larger fundamental system for a dimension run the following script
```
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