user: Question: What was the minimal amount ($) of the 1st prize in the tournaments in New Mexico?
Columns: ['Date', 'Tournament', 'Location', 'Purse( $ )', 'Winner', 'Score', '1st Prize( $ )']
Types: ['text', 'text', 'text', 'real', 'text', 'text', 'real']
Sample row: ['Jan 17', 'MONY Senior Tournament of Champions', 'California', 100000.0, 'Dave Hill (2)', '211 (-5)', 30000.0]
SQL:

assistant: SELECT MIN("1st Prize( $ )") FROM "Table" WHERE "Location" = 'New Mexico';