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In the table at src/sage/knots/knot_table.py, knots are described as closures of braids. The (minimum) braid representative of 5_2 in the table has 3 strands and 6 crossings, which explains the output.

This could indeed be documented better, or the implementation of the table could be improved. It's related to the existing issue #31188: knot genus outputs wrong value for 5_2.