blizzard sorc's weapon question

I have 6 blizz ( with 2 socket that can socket with 2 5/5 rainbow) sorc's weapon, but i don't know does it deal more damage than perfect death fathom with rainbow or not?

Thanks |||it deals less damage than even a mid fathom. 6 blizz orbs are only good for MLD.

FYI: 6 fireball /lightning orbs are really nice though (eschuta's +% damage doesn't multiply with the masteries, so 6 fb/lb orbs are the best for damage on fire/light)

anyway, math:

assume you already have +20 blizzard skills (for 40 total) from gear and +40% cold damage from gear before you equip weapon.

with max blizzard and synergies:

26 blizzard +50% = 13410 blizzard

23 blizzard +75% = 14259 blizzard (according to a skill calculator i probably shouldn't link too :P)

note that the more blizzard skills you already have the better the fathom looks, and the more +% cold damage you already have, the better the +6 blizz orb looks... but i don't think theres any reasonable setup where you'd have so much cold damage already and so low blizzard skills that the orb would actually be better. maybe if you're using a +20/20 monarch and no skill gcs whatsoever, but that seems bizarre.