if you mean a generator of GF(11*) , then you just pick a number, and calculate all the powers of 2 up until 10. If 2^10 is the lowest power that yields 1, 2 is a primitive root.

2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 5
2^5 = 10
2^6 = 9
2^7 = 7
2^8 = 3
2^9 = 6
2^10=1

so 2 works. 8, 7, or 6 should also work.

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