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i will put more work into the build.
and you think manamune would help if added?
4x rod og ages = 725 x 4 mana = 2900 mana
+ 80 x 4 AP = 320 AP
1 artangels = 1400 mana
+ 3% of your mana in AP, and 45 (1400 mana + 2900 + 600 from runes + 1100 mana as a minimum for ryze? = 6000 mana)
so you get 6000 mana, and the AP:
6000 x 0,03 = 180 + 320 (artangels and rod of ages) + 155 (rabandons as last item) = 655 + 30% = 851
so with 1 artangels, 4 rod of ages, and 1 rabanens, you get MORE AP then this build, you get 2000 mana more
but a tips, if you get the mana buf, you can cast your spels almoust al the time (overload - runerison - spellflux - overload - desperate power - overload - spell flux - overload - runeprison - overload, this como have around 3.4 secound cooldown, becouse of the cooldown, deeling 60% of your total mana (60& of 6000 is 3600) and around 3x your AP (851 x 2 = 2553)
so 3600 + 2553 + 130 x 5 (overload) + 660 (runeprison + spell flux, if you only hit 1 on spell flux) = 7463 !!!!!!
7463 damage - 27% (the normal magic resist) = 5448, normal magic resist on a tank are around 50% = 3700, so short seyd, you K.O ANYONE in less then 4 secounds with 1 artangels, 1 rabandons, 4 rod of ages, and the mana buf!!!!!
also, if spell flux bounse, you can get 10.000 damage, if you have a fidel (10 less magic resist) and somone with Abyssal Scepter ner the enemi you are attacing!!!!!!