0MYW Proposition 4.7. There is an isomorphism of graded algebras (4.3) (Eℓe´t)∙≅⨁i,jH2(dj−∙)BM,G(Zi,j,ℚℓ(dj−∙)).\displaystyle(E^{\acute{e}t}_{\ell})^{\bullet}\cong\bigoplus_{i,j}H^{BM,G}_{2(d_{j}-\bullet)}(Z_{i,j},\mathbb{Q}_{\ell}(d_{j}-\bullet)).