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E8 and the Gaussian code

Build the [formula in source] lattice by Construction A over the extended Hamming code [formula in source] , placed equivariantly with respect to four fixed coordinate pairs, and let [formula in source] be the complex structure that rotates each pair ( [formula in source] , [formula in source] ). Then [formula in source] becomes a unimodular Hermitian [formula in source] -lattice of rank [formula in source] , and red

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