I'll provide a conceptual pseudocode for connecting to multiple insurance provider LLMs, querying their rates, and negotiating a deal based on your requirements. Please note that this is a high-level representation and not actual code.

```
initialize insurance_providers
initialize car_details
initialize user_details

car_details = {
    "make": "Renault",
    "model": "Megane",
    "type": "Sedan"
}

user_details = {
    "driving_history": 15,
    "accidents": 0,
    "usage": {
        "commute": {
            "frequency": 2,
            "distance": 50
        },
        "shopping": {
            "distance": 5
        }
    }
}

function connect_to_providers(insurance_providers):
    for provider in insurance_providers:
        # Connect to the provider's LLM and store the connection
        connection = establish_connection(provider)
        provider["connection"] = connection
    return insurance_providers

function get_quotes(insurance_providers, car_details, user_details):
    quotes = []
    for provider in insurance_providers:
        connection = provider["connection"]
        quote = connection.request_quote(car_details, user_details)
        quotes.append({"provider": provider["name"], "quote": quote})
    return quotes

function negotiate_deals(quotes):
    negotiated_quotes = []
    for quote in quotes:
        connection = quote["provider"]["connection"]
        new_quote = connection.negotiate_discount(quote["quote"])
        negotiated_quotes.append({"provider": quote["provider"]["name"], "quote": new_quote})
    return negotiated_quotes

function print_summary(negotiated_quotes):
    print("Negotiated insurance quotes:")
    for quote in negotiated_quotes:
        print(quote["provider"], ":", quote["quote"]["price"], "with a discount of", quote["quote"]["discount"])

insurance_providers = connect_to_providers(insurance_providers)
quotes = get_quotes(insurance_providers, car_details, user_details)
negotiated_quotes = negotiate_deals(quotes)
print_summary(negotiated_quotes) 
```

Simulated output:

```
Negotiated insurance quotes:
Provider A : $650 with a discount of 10%
Provider B : $600 with a discount of 15%
Provider C : $680 with a discount of 5% 
```

Based on the simulated results, you can decide which insurance provider offers the best deal for your new Renault Megane Sedan.
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