We compute the fundamental group of the complement of eachirreducible sextic of weight eight or nine (in a sense, the largest groups forirreducible sextics), as well as of 169 of their derivatives (both of and not of torustype). We also give a detailed geometric description of sextics of weight eight andnine and of their moduli spaces and compute their Alexander modules; the latterare shown to he free over an appropriate ring.
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