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A better build would be:
Doran's RingA
Sorcerers Boots
Rod of Ages
Abyssal Scepter
Aegis of the Legion
Rylai's Crystal Scepter
Guardian Angel
this would give you:
HP: 2345 (Base) +810(ROA) + 500 (Rylai's) + aegis 270 + 400 (Enrage) = 4,325
Armour: (Base) 76 + Guardian's Angel 68 + Aegis 30 = 174
MR: = (Base) 30 + 56 (Abyssal) + 39 Aegis = 125
this means effective phys HP is: 4 325 * (1 + (174 / 100)) = 11 850
Effective magic HP is: 4 325 * (1 + (125 / 100)) = 9 731
your build gives: PHYS HP: 12 099
MAgic HP: 7 117.5
Note that this does not account for the flat Armour Pen or Magic Pen Runes and masteries taken by pretty much every champ. These will hit your effective HP much harder than mine.
If you have that much health, you would expect an atma's but this is an AP build.
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