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Since the Wielders are being hunted by the Inquisition, your introductory quest for the faction is to find their hideout, La Calle Perdida. To do that, first talk to Leonardo DaVinci (you can always find him in his workshop in the Port District). Ask him about Barcelona, then the factions, then the smaller groups, and then the wizards. Finally, ask him how you can find the wizards. He'll direct you to speak to Quinn the Herbalist. Quinn (in his shop in the Gate District) will ask you to read the book next to him (just click on it), and then he'll give you the
Wielder's Charm (+5 mana). Just by having the charm in your inventory, you can click on and then pass the illusionary wall in the Gate District that leads to La Calle Perdida.
In La Calle Perdida, you'll meet Cedric Alsen, the leader of the Wielders. He'll give you the following quests:
1. Create a Wand of Spirits - To make the wand, you'll first have to find some darkwood. You can get some from the woodcutter in El Bosque, provided you can clean out the undead from his basement (750 experience). Once you get the darkwood and return to Cedric (300 experience), he'll make you an Apprentice Wielder (+5 HP and +4% cold / fire / electrical damage).
2. Bind a Spirit to the Wand - To find a spirit, you'll first have to talk to Galileo in the Lower Inquisition Dungeon. He'll tell you that he stashed a spirit in the observatory in the Temple District, and he'll cast a spell on you so you can see it (300 experience). Just click on the globe in the observatory (100 experience) to receive the Wand of Spirits (+25 mana and +2 to all Divine and Thought magic branches). Then return to Cedric (550 experience).
3. Bring Relican to Justice - That is, kill him. You'll find Relican in the Slave Pit Exterior area. Once you've killed him, return to Cedric (1000 experience).
After completing the final quest, you'll become a Wielder, which gives you a (total) bonus of +10 HP, +4 AC, +1 intelligence, and +8% cold / fire / electrical damage.
Finally, you'll receive a quest to protect the Crown of Thorns at Montserrat, but that quest is the same for all factions.