What was the minimal amount ($) of the 1st prize in the tournaments in New Mexico?
CREATE TABLE "tournament_results" (
  "date" text,
  "tournament" text,
  "location" text,
  "purse" real,
  "winner" text,
  "score" text,
  "1st_prize" real
);
SELECT MIN("1st_prize") FROM "tournament_results" WHERE "location"='New Mexico';