kaurmam — the incarnation as a tortoise; mātsyam — as a fish; nārasiṁham — as a man-lion; vāmanam — as a dwarf; ca — and; jagat-pateḥ — of the Lord of the universe; kṣīra-uda — of the Ocean of Milk; mathanam — the churning; tadvat — thus; amṛta-arthe — for the sake of nectar; diva-okasām — on the part of the inhabitants of heaven.