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Nov 8, 2017 at 0:36 comment added degree The following paper gives a complete answer: [arxiv.org/abs/math/0207177 ] (On the Existence of Similar Sublattices, J.H. Conway, E.M. Rains, N.J.A. Sloane).
Oct 30, 2017 at 5:51 comment added Will Sawin @degree Yes, fixed.
Oct 30, 2017 at 5:51 history edited Will Sawin CC BY-SA 3.0
added 2 characters in body
Oct 30, 2017 at 0:59 comment added degree Should the first line be $A^TE_8A=dE8$?
Oct 13, 2017 at 13:49 history answered Will Sawin CC BY-SA 3.0