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Jean Fasel has associated to this row an element $[(J,\\omega_J)]$ in the Euler class group $E^n(R)$, with $\\omega_J:(R/J)^n\\to J/J^2$ given by $(a_1,...,a_{n-1},a_n a_{n+1})$. If $R$ contains an infinite field $F$ then we show that the rule of Fasel defines a homomorphism from $WMS_{n+1}(R)=Um_{n+1}(R)/E_{n+1}(R)$ to $E^n(R)$. The main problem is to get a well defined map on all of $Um_{n+1}(R)$. 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