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Question about various indicators of the same stock.

Hey, I am playing with data of stock for educational reasons and I am thinking to generate data for a number of indicators (SMA,EMA and others..) for multiple periods (3,5,7,13 ++ 48)

First question, in order to find patterns (not really possible but whatever..) Shall I use the same period list for all the indicators or do you think is worth to play more (like each indicator have its own random periods)

Also, is there any standard list of periods for each indicator?