Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_16953 ( "Date" text, "Tournament" text, "Location" text, "Purse( $ )" real, "Winner" text, "Score" text, "1st Prize( $ )" real )

### Question ###
What was the minimal amount ($) of the 1st prize in the tournaments in New Mexico?

### Accurate SQL ###

SELECT MIN("1st Prize( $ )") FROM table_16953 WHERE "Location" = 'New Mexico'