c4d_base/description/obase.hParameters are accessed with cinema::C4DAtom::GetParameter() and cinema::C4DAtom::SetParameter(). See Parameters.
Parameter: Viewport Visibility
ID_BASEOBJECT_VISIBILITY_EDITOROBJECT_UNDEFOBJECT_ONOBJECT_OFFParameter: Renderer Visibility
ID_BASEOBJECT_VISIBILITY_RENDEROBJECT_UNDEFOBJECT_ONOBJECT_OFFParameter: Enabled
ID_BASEOBJECT_GENERATOR_FLAGParameter: Display Color
ID_BASEOBJECT_USECOLORID_BASEOBJECT_USECOLOR_OFFID_BASEOBJECT_USECOLOR_LAYERID_BASEOBJECT_USECOLOR_AUTOMATICID_BASEOBJECT_USECOLOR_ALWAYSParameter: Color
ID_BASEOBJECT_COLORID_BASEOBJECT_SHADEDWIRECOLORMODE_OFFID_BASEOBJECT_SHADEDWIRECOLORMODE_AUTOID_BASEOBJECT_SHADEDWIRECOLORMODE_ALWAYSParameter: X-Ray
ID_BASEOBJECT_XRAYParameter: Position
ID_BASEOBJECT_REL_POSITIONParameter: Rotation
ID_BASEOBJECT_REL_ROTATIONParameter: Scale
ID_BASEOBJECT_REL_SCALEParameter: Rotation Order
ID_BASEOBJECT_ROTATION_ORDERID_BASEOBJECT_ROTATION_ORDER_HPBID_BASEOBJECT_ROTATION_ORDER_XYZID_BASEOBJECT_ROTATION_ORDER_XZYID_BASEOBJECT_ROTATION_ORDER_YXZID_BASEOBJECT_ROTATION_ORDER_YZXID_BASEOBJECT_ROTATION_ORDER_ZXYID_BASEOBJECT_ROTATION_ORDER_ZYXParameter: Quaternion Rotation
ID_BASEOBJECT_QUATERNION_ROTATION_INTERPOLATIONParameter: Freeze All
ID_BASEOBJECT_FREEZEParameter: Unfreeze All
ID_BASEOBJECT_FROZEN_RESETParameter: Frozen Position
ID_BASEOBJECT_FROZEN_POSITIONParameter: Freeze P
ID_BASEOBJECT_FREEZE_PParameter: Frozen Rotation
ID_BASEOBJECT_FROZEN_ROTATIONParameter: Freeze R
ID_BASEOBJECT_FREEZE_RParameter: Frozen Scale
ID_BASEOBJECT_FROZEN_SCALEParameter: Freeze S
ID_BASEOBJECT_FREEZE_SParameter: Deform Position
ID_BASEOBJECT_DEFORM_POSITIONParameter: Deform Rotation
ID_BASEOBJECT_DEFORM_ROTATIONParameter: Deform Scale
ID_BASEOBJECT_DEFORM_SCALEParameter: Global Position
ID_BASEOBJECT_GLOBAL_POSITIONParameter: Global Rotation
ID_BASEOBJECT_GLOBAL_ROTATIONParameter: Transformed Position
ID_BASEOBJECT_ABS_POSITIONParameter: Transformed Scale
ID_BASEOBJECT_ABS_SCALEParameter: Transformed Rotation
ID_BASEOBJECT_ABS_ROTATION