The two lists refer to the two houses of Congress. The first list will naturally have more members. Its best to send a letter to all 535 members. I believe that its a great idea that you're taking this step. And we welcome you to our forum and appreciate your input and help.
I must warn you to be prepared for a lot of written responses from Members of Congress. At the very least, you'd be creating a headache for your home state Senators and your home district Congress member because most Senators and Congressmen forward constituent letters from non-represented districts to the author's Senators and Representatives.
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I am not an immigration attorney nor do I have any experience litigating immigration cases. As always, seek professional advice before pursuing any course of action. I cannot be held accountable for any consequences of my comments.