The NASA LS(1)-0413 listed are the original coordinates from the report NASA TM X-74018, which also includes original coordinates for the LS(1)-0413MOD. The report NASA TM X-72697, which covers the GA(W)-2 tunnel tests, only includes the coordinates measured off the model. Finally, the LS(1)-0413 coordinates listed in NASA-CR-145139 in August 1976 appear to be wrong.
References:
McGhee, Robert J., Beasley, William D. and Somers, Dan M., "Low-Speed Aerodynamic Characteristics of a 13-Percent-Thick Airfoil Section Designed For General Aviation Applications", NASA TM X-72697. Date unknown, possibly 1972. Report on the first wind tunnel test of the GA(W)-2 (LS(1)-0413) airfoil. This report only contains the coordinates measured from the wind tunnel model.
McGhee, Robert J. and Beasley, William D., "Low-Speed Wind-Tunnel Results For a Modified 13-Percent-Thick Airfoil", NASA TM X-74018. Date unknown, possibly 1974. Report on the wind tunnel test of the LS(1)-0413MOD airfoil. Also contains GA(W)-2 (LS(1)-0413) coordinates.
Wentz, W.H. Jr., "Wind Tunnel Tests of the GA(W)-2 Airfoil With 20% Aileron, 25% Slotted Flap, 30% Fowler Flap and 10% Slot-Lip Spoiler", NASA CR-145139, 1977. Contains GA(W)-2 (LS(1)-0413) coordinates that are different than given previously.
Wentz, W.H. Jr. and Fiscko, K.A., "Pressure Distribution for the GW(W)-2 Airfoil With 20% Aileron, 25% Slotted Flap and 30% Fowler Flap", NASA CR-2948, 1978. Contains same coordinates as CR-145139.
Wentz, W.H. Jr., "Wind Tunnel Force and Pressure Tests of a 13% Thick Medium Speed Airfoil With 20% Aileron, 25% Slotted Flap and 10% Slot-Lip Spoiler", NASA CR-3439, 1981. Contains coordinates that are different than any other report.
Rodgers, E.J., Seetharam, H.C. and Wentz, W.H. Jr., "Experimental Studies of Flow Separation of Three Airfoils at Low Speeds", NASA CR-3530, 1982. Contains same coordinates as CR-145139.