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When the conjugate a ∘ self ∘ a⁻¹ overflows, conjugated now forms every entry of the product as a sum of terms whose factors are split into a mantissa and a power of two, and scales the whole product by one power of two from its w row at the end. Scaling each partial product to a largest entry of 1 could round an entry to 0 that the next factor would restore, so a projection with entries far apart in size, such as a scale by (1e160, 1e-160) seen through the same scale, was removed and the art drew flat.