Did Lenin order the execution of the Romanov family?

I understand this has been the historical commonly-held belief. However, I have read (truth unclear) that there is now evidence suggesting that [1] Lenin wanted to only execute the Tsar and send the rest of the family into exile, and [2] EITHER Yakov Sverdlov personally gave the order, or [3] the Ural Soviet (the local government that had jurisdiction over the town where the Romanovs were held captive) gave the order completely autonomously.