catalyst system containing A) at least one metallocene, B) at least one Lewis base of the formula ** ** where R3, R4 and R5 are the same or different and are a hydrogen atom, an alkyl group having 1 to 20 carbon atoms, halogenated alkyl having 1 to 20 carbon atoms, aryl having 6 to 40 carbon atoms, halogenated aryl with 6 to 40 carbon atoms, alkylaryl having 7 to 40 carbon atoms or arylalkyl with 7 to 40 carbon atoms carbon, may optionally, two radicals or all three radicals R3, R4 and R5, they are bonded via hydrocarbon units having 2 to 20 carbon atoms, and M1 represents an element of main group V of the periodic system of elements, in particular nitrogen or phosphorus.
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