A large language model is designed with token embeddings that have a dimensionality of 512. If this model uses rotary positional embeddings, how many distinct parameters must be defined in the vector that determines the rotational frequencies?

For a transformer model utilizing rotary positional embeddings with a token embedding dimensionality of d, the parameter vector θ that defines the rotational frequencies consists of d distinct parameters.

In a model using rotary positional embeddings, if the token embedding dimensionality is represented by d, the parameter vector θ that determines the rotational frequencies will contain ____ distinct parameters.