That's a lot of information, but it is in no sense a complete genome. It does mean that someone who had that information could prove that your DNA belonged to a child of your mom and dad with high accuracy, or that you were a sibling of your sister. It also reveals that you don't have certain mutations, or that you do have a few.

But where your parents have different SNPs, there's no way to derive which of them you inherited. What you said is a bit like saying that, because you know all of the cards in a deck of playing cards, you know what hand someone is holding, except in a counterfactual world where there are 10,000 possible cards and you know that a deck only has 52 of them.