Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Object
FUR_GENERATOR_LINK
Parameter: Count
FUR_GENERATOR_COUNT
Parameter: Segments
FUR_GENERATOR_SEGMENTS
Parameter: Length
FUR_GENERATOR_LENGTH
Parameter: Variation
FUR_GENERATOR_LENGTH_VAR
Parameter: Randomize
FUR_GENERATOR_RANDOMIZE
Parameter: Comb X
FUR_GENERATOR_COMB_X
Parameter: Comb Y
FUR_GENERATOR_COMB_Y
Parameter: Comb Z
FUR_GENERATOR_COMB_Z
Parameter: Density
FUR_GENERATOR_DENSITY
Parameter: Cache All Fur
FUR_GENERATOR_RENDER_CACHED
Parameter: Viewport Display
FUR_GENERATOR_EDITOR
Parameter: Level of Detail
FUR_GENERATOR_LOD