If it's heavy for its size, it's definitely ultramafic. If it readily deflects an ordinary compass, the black part includes a lot of magnetite. The green and the oily feel suggest greenstone metamorphic. Serpentine usually has a "slickensides" surface and the structure is usually somewhat fibrous, it's pretty distinctive stuff if you're familiar with it. However there are lots of other related greenstone minerals and the rocks that contain them can intergrade with serpentine and other minerals. ......If it's not metamorphic or maybe even if it is, the green could be from olivine. I recently collected ultramafic volcanics with olivine and also a purple surface sheen fairly similar to what you're describing. I don't know the mineralogy of the purple surface sheen, although I'm pretty sure it's a product of weathering processes.
If it's metamorphic, its geological setting is probably favorable for valuable minerals. In California, the Sierra Nevada greenstone belts adjacent to granite are associated with hydrothermal gold. In the high pressure low temperature Coast Range greenstone belts, very little gold but there is mining of mercury, asbestos, and chromium. And some nice rockhounding (esp. garnet and actinolite).