Give the names of seven `f`-orbitals and how they are represented.

Explanation

To answer the question regarding the names of the seven `f`-orbitals and their representations, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Azimuthal Quantum Number (L)**:
- For `f`-orbitals, the azimuthal quantum number (L) is equal to 3. This is a fundamental property of `f`-orbitals.

2. **Determine the Total Number of `f`-orbitals**:
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