So following this advice and the knowledge that police can lie to you in interrogation^Winterview (and not only there) I would do this:

1. tell the cop that you will exercise your 5th amendment. 2. tell the cop that you know that the police is allowed to lie to interviewee. 3. tell the cop that you will add the time wasted here to cost that will be billed to him or most likely sued for in counter claims court. 4. tell the cop "that by detaining me here further you agree to accept any and all such costs" 5. tell them it is their move.

do 3. and 4. if you got the guts if not do only the rest.

And to fill the silience whistle. (Preferbly the most annoying and catching tune you know).