Hybrid Ryze:

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After Ryze got his re-work I began trying out a number of different builds and finally landed on this one, I have walked my last 6 games using it! You get a much earlier and stronger power spike than any other build I have used and you maintain it right through the game, before you judge why don't you give it a try.
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To add:
This is my first champion guide so if you liked it so far tell me what you think, and if you have any tips or pointers i'd love to hear them. :) .. [Guide In Progress]

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If you don't have Greater Quintessence of Movement Speed then I would probably recommend getting Mobility Boots or Boots of Swiftness at some point

WHAT TO LEVEL & WHY

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Rune Prison
Stay where you are! - Level this 1st.
Level Rune Prison first, followed by q or e. The reason for this is due to your early game consisting of auto attack harass, this not only allows you to maximize your damage early but it is also the safest you can be Example: If you are against a melee champ top constantly harass them and if they get to close or try to attack you, root them in place.
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Overload
Stack that Tear - Level this 2nd/3rd
We want to keep this level 1 for the majority of the early game. Why? Simple, you want to be stacking you're tear as quickly as possible, at 30 mana at rank 1 you are able to get 3 stacks for less than the price of 2 at rank 4. Another thing to note is you will not be as safe and you will not have as consistent damage (max this 2nd if you are zoning your enemy / they are building little MR)
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Spell flux
Did anyone say muramana? - Level this 2nd/3rd
Currently you are able to activate your Muramana followed by your R Desperate Power into your Spell Flux and it will deal your active on all grouped enemies your Spell Flux travels to and from.
See. https://www.youtube.com/watch?v=Ynsb09zBkCg
This is deadly when used correctly.
Another thing to note, this will burn your mana FAST! Be careful when you use this ability as it can have an adverse affect if used improperly
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DESPERATE POWER
Level this whenever you can.
This is you're ultimate max it whenever possible
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IMPORTANT: In your skill rotation try to alternate you're Q as to provide maximum effectivness
W -> Q -> E -> Q -> R -> Q -> .... and spam that auto attack command while you do it

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Early Game -
Opponent:
[Melee] - Look to auto attack your opponent if you can, keeping constant pressure against them using your W to pin them down should they look to engage, keep an eye on your passive, as well as their positioning (i.e. in minion wave = big damage).

[Ranged] - Look to counter engage on a champion who can skill shot you (Ahri for example) try to bait her charm with your quick movement speed and quickly go in bursting her down and disengaging.

At around level 6 - 8 you should have your tear stacking & your sheen. At this point you're good to go

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GUIDE IN PROGRESS - More to follow
To add:
This is my first champion guide so if you liked it so far tell me what you think, and if you have any tips or pointers i'd love to hear them. :) ..