Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Object
FUR_GENERATOR_LINKParameter: Count
FUR_GENERATOR_COUNTParameter: Segments
FUR_GENERATOR_SEGMENTSParameter: Length
FUR_GENERATOR_LENGTHParameter: Variation
FUR_GENERATOR_LENGTH_VARParameter: Randomize
FUR_GENERATOR_RANDOMIZEParameter: Comb X
FUR_GENERATOR_COMB_XParameter: Comb Y
FUR_GENERATOR_COMB_YParameter: Comb Z
FUR_GENERATOR_COMB_ZParameter: Density
FUR_GENERATOR_DENSITYParameter: Cache All Fur
FUR_GENERATOR_RENDER_CACHEDParameter: Viewport Display
FUR_GENERATOR_EDITORParameter: Level of Detail
FUR_GENERATOR_LOD