There are many approaches to perform parallel queries in your application, from using the Python SDK to making REST calls. Below is one example of an approach using multi-threaded, asynchronous requests in Python. For guidance on using asyncio for single-threaded, asynchronous requests in Python, see Asyncio support. This example assumes the following: 
import os
from pinecone import Pinecone
from concurrent.futures import ThreadPoolExecutor

# Get the API key from the environment variable and initialize Pinecone
api_key = os.environ.get("PINECONE_API_KEY")
pc = Pinecone(api_key=api_key)

# Define the index name
index_name = "docs-example"

# Define the index
index = pc.Index(index_name)

# Define the function to run parallel queries
def run_parallel_queries(vectors):
    """
    Run a list of vectors in parallel using ThreadPoolExecutor.
    
    Parameters:
    vectors (list): A list of vectors.
    
    Returns:
    list: A list of query results.
    """
    
    # Define the maximum number of concurrent queries
    MAX_CONCURRENT_QUERIES = 4

    def run_query(vector):
        """
        Run a single query.
        """
        return index.query(
            namespace="",
            vector=vector,
            top_k=3,
            include_values=True
        )
    
    # Run the queries in parallel
    with ThreadPoolExecutor(max_workers=MAX_CONCURRENT_QUERIES) as executor:
        """
        Run the queries in parallel.
        """
        results = list(executor.map(run_query, vectors))
    
    return results

def test_parallel_queries():
    """
    Test the run_parallel_queries function with 20 random vectors.
    """
    import numpy as np

    # Generate 20 random vectors of size 1536 and convert them to lists
    vectors = [np.random.rand(1536).tolist() for _ in range(20)]

    # Define the batch size
    QUERY_BATCH_SIZE = 20
    
    # Run the parallel queries
    results = run_parallel_queries(vectors)

    # Print the results
    for i, result in enumerate(results):
        print(f"Query {i+1} results: {result}")

if __name__ == "__main__":
    test_parallel_queries()