Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Overdub
TLWORLD_OVERDUBParameter: Interpolation
TLWORLD_INTERParameter: Quaternion Interpolation
TLWORLD_QUATINTERParameter: Lock Time
TLWORLD_LOCKTParameter: Breakdown
TLWORLD_BREAKDOWNParameter: Lock Value
TLWORLD_LOCKVParameter: Breakdown Color
TLWORLD_BREAKDOWNCOLORParameter: Key Preset
TLWORLD_PRESETParameter: Auto Tangents
TLWORLD_AUTOParameter: Slope
TLWORLD_AUTOTYPEParameter: Clamp
TLWORLD_CLAMPParameter: Remove Overshooting
TLWORLD_REMOVEOVERSHOOTParameter: Weighted Tangents
TLWORLD_WEIGHTEDTANGENTParameter: Automatic Weighting
TLWORLD_AUTOWEIGHTParameter: Lock Tangent Angles
TLWORLD_LOCKTAParameter: Lock Tangent Lengths
TLWORLD_LOCKTLParameter: Break Tangents
TLWORLD_BREAKParameter: Keep Visual Angle
TLWORLD_KEEPVISUALANGLE