Complex sentence: Those rights, he stated, are the sole right of dealing with the Indian nations in North America, to the exclusion of any other European power, and not the rights of possession to their land or political dominion over their laws.
Split into simpler sentences: Those rights, he stated, include the sole right to deal with the Indian nations in North America, to the exclusion of any other European power. This did not include the rights of possession to their land or political dominion over their laws.