[amoeba]

because hero did not 3 bet preflop. Villain can put hero on wide variety of hands.

I'm not sure if 77 and 44 are in that range though.

I think its close but I just can't imagine villain putting us on AA.

This deep you really should 3 bet preflop as villain's reraising range is really not that narrow. what do you do if a J or Q flops?

if you are going to trap with AA, then trap, don't do this I let you see a free flop then make my move.

if you aren't going to 3 bet preflop, then you should call the flop.