I recently purchase a GIA certified square modified brilliant princess cut diamdon
Measurements are 5.76x5.51x3.90
Weight 1.02 carat
Depth 70.8%
Table 69%
Girdle Thin to Medium
Cutlet None
Polish Good
Symmetry Good
Clarity SI1
Color F
Fluorescence None
The table and depth %'s look good. Did the vendor provide you with a SARIN report? This will provide you with the crown height % which will help qualify the Cut Grade using the Cut Grade Charts provided by Dave Atlas of Accredited Gem Appraisers (AGA):