"Not determined or influenced by someone or something else" is one of the definitions I found for "independent". Also not committed to a political party.
Both describe me.
I have been asked several times this week, "which party are you?" Often, the question is followed with "..but I saw you having coffee with so and so!" or "aren't you friends with..."
I have friends that are members in a number of different political parties. There are great minds and good people in every camp. My life is more full for knowing them. Conversations are more lively and rich with differences of opinion around the table.