05AB1E, 13 bytes

(ŸÄDδ¿Θ»T„. ‡

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Explanation:

(              # Negate the (implicit) input-integerŸ             # Push a list in the range [(implicit) input, -input]Ä            # Take the absolute value of each: [n,n-1,...,0,...,n-1,n]   Dδ¿         # Create a GCD-table of this list:   D           #  Duplicate the list:δ          #  Pop both lists, and apply double-vectorized:¿         #   Greatest Common DivisorΘ        # Check which values are 1 (1 if 1; 0 otherwise)»       # Join each inner list by spaces, and then each string by newlines        T      # Push 10„.    # Push ". "‡  # Transliterate all 1s to "."s and all 0s to spaces               # (after which the result is output implicitly)