This method will give you the Necromancer Amulet, the gold reward and increase the disposition with the guards, just as the quest is supposed to. Here goes.
- Gain access to Hjerim.
DO NOT start the quest by nosing around at the crime scene. Either pickpocket the key from the elder Shatter-Shields, or purchase the house if you're far enough in the Civil War questline. You will get the quest in your log either the moment you enter Hjerim, or when you begin to search for clues.
- Search for clues in Hjerim.
Find the two journals, the pamphlets and the Strange Amulet.
- Ask a guard about the Strange Amulet and the pamphlets.
- Talk to Viola Giordano and Calixto Corrium. Sell the amulet to Calixto.
- Talk to Wuunferth.
DO NOT talk to Jorleif.
- Go to the marketplace. If it's already around 9 pm, you may see Calixto sneaking up on Arivanya. If not, wait until around 9 pm the following evening. Kill Calixto and loot the Necromancer Amulet.
- Talk to Jorleif and recieve rewards.
- Partay


