What affects the artifacts granted by the Lutefisk God?

What artefact you receive is random, but giving more Lutefisk can result in extra enchantments.

Specifically, each 125 Lutefisk added to the statue for one object will grant an extra enchantment on the artefact received. So, 500 Lutefisk for an object will grant the best possible results of four extra enchantments.

Given there is a % chance of getting an artefact each time you give Lutefisk to a statue, the way to get the best possible object is to drop 500 Lutefisk in one go on to an empty statue (or whatever quantity you need to make the current total 500). As well as giving the maximum possible number of extra enchantments, this will also ensure a 100% chance of receiving an artefact.

See the Lutefisk Statue page on the wiki for more information