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This short note provides (TensorFlow-based) numerical evidence for theembedability (in the limit of a scalar parameter going to infinity) of thescalar potential of dyonic N=8, D=4 SO(8) supergravity into the scalarpotential of N=16, D=3 SO(8)xSO(8) supergravity. One finds that the dyonic$\omega$-angle gets identified with the compact U(1) part of the SL(2) factorof the SL(2)xE7(7) subgroup of E8(8).

From Binary Error Correcting Codes to a Relation Between Maximal D=4 and D=3 Supergravities