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The hole is to be used as a toilet by Dalton Russell while he hides behind the false wall after the other robbers escape.the line "now that's a good looking s--t hole" should have given a clue.
It is not stated - she may be an attorney - but she functions as a "fixer", someone who brokers exchanges of favors, political and otherwise. It is clear from the last scene that she is a private investigator with links to politicians and criminals.
While it is not explicitly stated, Arthur Case is probably not Jewish. The awards from organizations like Hadassah in his office are recognition of humanitarian work in an effort to expiate his guilt.
It is an Indian song titled Chaiyya Chaiyya, originally used in the film Dil Se... Composed by A.R.Rahman.
Aside from Detective Frazier's direct reference, two cast members from Dog Day Afternoon are here, playing "similar" roles:> Marcia Jean Kurtz plays a hostage named Miriam (who refuses to disrobe in front of everyone else.)> Lionel Pina delivers pizzas - this time as a cop.
It is never explicitly stated, but during a conversation between Chaim and the other hostages we learn that he is a professor at Columbia's Law School who teaches courses on genocide, slave labor, and war reparation claims.
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