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This paper gives a new upper bound for the essential dimension and the essential 2-dimension of the split simply connected group of type E7 over a field of characteristic not 2 or 3. In particular, ed(E7) ≤ 29, and ed(E7; 2) ≤ 27.doi:10.4153/cmb-2013-006-x fatcat:czec4mk4ere6vcem2vpc3l7mhm