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The output coverage from the GRIDPOLY command or the Grid to Polygon Coverage tool in ArcToolbox does not align well with the output shapefile from the Raster to Features function in Spatial Analyst.
The coverage created by GRIDPOLY or the Grid To Polygon Coverage tool is a single precision coverage.
The output from the Raster to Features function in Spatial Analyst creates a shapefile which stores double precision coordinates by default.
Specify that the coverage to be created will be double precision.
Arc: precision double double
Arc: gridpoly vegetation vegcov