I noticed that you play a mage. Any reason you don't use your summoned weapons?
Basically, unless the weapons procs something, all 1-handers are the same thing as far as yout pet is concerned.
Cheapest
procing weapons you can get are stun-whips, lifetap whips, staff in Solb (48dd with stun component) and the ranger root swords. Oh, almost forgot the axe in Highpass. Sorry, too lazy to do links or think of names today
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If you are fighting summoned mobs, like in SolB for example (or later on in the Hole) your summoned swords are your best bet as they prod against summoned mobs.