CREATE TABLE table_28914 ("District" TEXT, "Incumbent" TEXT, "Party" TEXT, "First elected" TEXT, "Result" TEXT, "Candidates" TEXT)

Which party experienced a result of lost re-election democratic-republican hold?
SELECT "Party" FROM table_28914 WHERE "Result" = 'Lost re-election Democratic-Republican hold'
SELECT "Party" FROM "table_28914" WHERE "Result" = 'Lost re-election Democratic-Republican hold'