Tension grow between what two individuals during Jefferson presidency and why

Adams and Jefferson represented two different visions of what the United States of America should look like. Whereas Adams and his fellow Federalists, including George Washington, envisioned a strong central government and a thriving manufacturing sector centered in the cities, Jefferson and the Democratic-Republicans espoused an agrarian ideal, rooted in the republican virtues of the independent small farmer. The election of 1800 was fiercely contested and facilitated the rise of the two-party system and bitter partisanship.
Upon entering office, Jefferson focused on reducing the national debt he had inherited from his predecessors. His administration lowered excise taxes while slashing government spending. Additionally, the Jefferson administration reduced the size of the Navy, ultimately bringing the national debt down from $83 to $57 million. Foreign developments, however, including the intensification of piracy along the Barbary Coast, would necessitate the rebuilding of the Navy and its establishment as a permanent part of the US government.

False but idk if im right