Full faction chart:
Quote:
1101+ -- Ally
701-1100 -- Warmly
401-700 -- Kindly
101-400 -- Amiably
0-100 -- Indifferently
-100 to -1 -- Apprehensively
-700 to -101 -- Dubiously
-999 to -701 -- Threateningly
-1000 -- Ready to attack
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So to take someone from full KOS to ally, give them something like 2000 faction points for the turn-in.