Arcanist Mag DPS - Velothi Ur-Mage - Arkanist Baue PvE - ESO

 Does +65k. Certainly good for dungeons and solo content. War Horn is not necessary, you can put whatever you want there since you won't be using your backbar ultimate much if at all. Thief Mundus since this is all crit based. Regular Destructive Impact is fine for this build if you don't have the perfected version yet.

With group buffs:

1. 64% critical
2. 5k Spell Damage
3. 11k Penetration (overkill but set bonuses end up getting you way over 7k)
4. 14k Spell Resist 
5. 8k Physical Resist
6. 38k Magicka

Resources won't be a problem at all with the build due to Recuperative Treatise, self heal with Cephaliarch's Flail and damage shield from Pragmatic Fatecarver. Tide King's Gaze for mobs that may or may not move (swap it out if you don't think you're going to have that issue). You can use max magicka food instead of regen food for this to boost your dps and the food is super cheap and easy to make.

You can probably get around the same DPS without Velothi Ur-Mage and do full Slimecraw, you'll lose maybe around 4k dps.

I tested with Deadly Strikes, Perfected Ansuul's and Perfected Whorl, out of the 3, all 3 produced about the same DPS on a trial dummy. If you don't want to weave to proc Whorl, use Ansuul's or Deadly Strikes. All of them are pretty close in damage, you can get away with Deadly Strikes and still maintain about the same DPS on a trial dummy if you don't have any trial gear unlocked. You will most likely be able to push higher with trial gear though.

Basic rotation:

Start on the backbar:

1. Recuperative Treatise
2. Reconstructive Domain
3. Elemental Susceptibility
4. Fulminating Rune
5. Shock Reach

Switch to front:

1. Cephaliarch's Flail
2. Unstable Wall
3. Writhing Runeblads x2
4. Pragmatic Fatecarver

Main Rotation:

(starting with backbar buffs up)

1. Cephaliarch's Flail (if it's not active)
2. Unstable Wall
3. Writhing Runeblads x2 (or 3 - Cephaliarch's will generate a crux, so do 3 if it's active already)
4. Pragmatic Fatecarver

Do 1-4 again, then switch to back bar. This rotation allows you to do 1-4 twice before switching to backbar to refresh your buffs/debuffs.

1. Elemental Susceptibility
2. Fulminating Rune
3. Shock Reach
4. Recuperative Treatise
5. Reconstructive Domain

Switch to front bar and repeat 1-4, following the pattern/notes. Note on Writhing Runeblades: you will be generating a lot of crux throughout the fight, so refreshing to get max crux isn't always necessary, if you are at 3, just use Pragmatic Fatecarver anyways. One or two Runeblades is a safe bet to get at least 3 crux for Fatecarver. After the first Fatecarver you will need to do at least 2 Runeblades to max your crux again.

If you are using Whorl, you will need to weave to proc the damage and weapon enchantments.

Using Ansuul's and Deadly Strikes, you don't have to weave, but you still need to light attack to proc the weapon enchantments.

Where to get gear:

1. Pillar of Nirn - Falkreath Hold (dungeon - Horns of the Reach dlc)
2. Whorl of the Depths - Dreadsail Reef (trial - High Isle)
3. Ansuul's - Sanity's Edge (trial - requires Necrom)
4. Deadly - Cyrodiil Trader at Bruma or on the Guild Traders