Need online help The Odyssey: While the narrator of the epic tells us about Calypso and her island

While the narrator of the epic tells us about Calypso and her island, the rest of Odysseus’ adventures are related by the hero himself to a courtly audience that might (or might not) help him get home. Beyond his reputation for being clever and using deception when he needs to, is there any hint that Odysseus might be inventing or embellishing here? (Note particularly what King Antinous says in book 11 lines 411-421 and in book 12 lines 413-420).