When to send follow up after they contacted references?

I went for an interview on 1/29. By the end of the interview, they asked for a list of references, and I sent it to them immediately.

After a week, I sent a follow up email but didn’t get a reply. However, the day after I sent the email, my references told me that they received a reference request (2/5). One of my references told me that they sent the letter on 2/11.

I haven’t hear anything back from the company and I’m not sure how to proceed! Should I follow up with them today? Next week?

I really want to work for this company, but I’m not sure how to proceed.

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