Based on this etymological information, what are the roots of the word hieroglyph?

latin, hiems "winter"
latin, arius "connected with"
greek, hieros "sacred"
greek, hierarkhes "leader of sacred rites"
greek, graphein "to write"
greek, glyphein "to carve"

latin hiems + greek graphein

latin hiems + latin arius + greek glyphein

greek hieros + greek glyphein

greek hierarkhes + greek glyphein