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Re-project data to a coordinate system using 7 parameter

I have a dataset with a local origo. It is based on UTM 32N.  I have been supplied with the seven parameters used for transformation into regurlar UTM 32N.Reading the FME documentation, I have tried to add a custom transformation using 7PARAMETER method, but I cannot access it from FME.  The closest I get is the Csmapprojector, but it is not cooperating: I cannot use my defined transformation as the local coordinate system is not defined.  (Having the parameters for the transformation already, this should be irrelevant - as it is in other software I used before). Trying to create a custom coordsys also isn't bringing me very far.  For some reason, if I have my custom Coord I cannot see my custom transformation.  And vice versa. From my MyCoordSysDefs.fme:COORDINATE_SYSTEM_DEF CustomerLocal.UTM-32N        \   DESC_NM    "Local for customer based on UTM32N" \   SOURCE     "Customer"                           \   GROUP      Project

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