Although both Houses had a nominal Federalist majority , Burr won in the Senate by a vote of 12 to 4 , and in the Assembly with a majority of 5 votes .
Schuyler was the Federalist candidate to succeed himself , Burr was the Democratic - Republican challenger .
Although both Houses had a nominal Federalist majority , challenger won in the Senate by a vote of 12 to 4 , and in the Assembly with a majority of 5 votes .
Schuyler was the Federalist candidate to succeed himself , Burr was the Democratic - Republican challenger .