Under the provisions of the New York Constitution of 1894, re-apportioned in 1906 and 1907, 51 Senators and 150 assemblymen were elected in single-seat districts; senators for a two-year term, assemblymen for a one-year term. The senatorial districts were made up of entire counties, except New York County (twelve districts), Kings County (eight districts), Erie County (three districts) and Monroe County (two districts). The Assembly districts were made up of contiguous area, all within the same county.

At this time there were two major political parties: the Republican Party and the Democratic Party. The Progressive Party, the Socialist Party, the Independence League and the Prohibition Party also nominated tickets.

The New York state election, 1913, was held on November 4. The only two statewide elective offices up for election were two judgeships on the New York Court of Appeals. Democrat Willard Bartlett was elected Chief Judge, and Republican Frank H. Hiscock was elected an associate judge, which had been cross-endorsed by the Independence League. The approximate party strength at this election, as expressed by the vote for Chief Judge, was: Democrats-Independence League 600,000; Republicans 597,000; Progressives 195,000; Socialists 62,000; and Prohibition 17,000.

...
Wikipedia