A lot of players, if not most, simply take the route of fighting to get inside the Library. It seems the profits from the Golden Hand's alliance is not enough to buy the loyalty of many players.
Pro-tip, if you had put off the pendant quest, you could have gotten inside the library buy giving one book to the Golden Hand. Once clearing the library, you could have completed the pendant quest by giving the pendant to Fritha without too much concern about the Golden Hand. After-all, once you clear the library, there's not too much reason to be on good terms with the group (yet, there could be a surprise down the road).