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_name_29 ( average INTEGER, interview VARCHAR, state VARCHAR, swimsuit VARCHAR, evening_gown VARCHAR )

### Question ###
What's the lowest average for a swimsuit over 6.89, evening gown over 7.76, and an interview over 8.57 in illinois?

### Accurate SQL ###

SELECT MIN(average) FROM table_name_29 WHERE swimsuit > 6.89 AND evening_gown > 7.76 AND state = "illinois" AND interview > 8.57