For a symmetric aerofoil, 0 angle of attack is 0 lift. For an asymmetric - there is (some) lift, which comes entirely from the suction side.
https://www.wolframalpha.com/input/?i=NACA+6409+airfoil&assu...
https://www.wolframalpha.com/input/?i=NACA+6409+airfoil&assu...
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