Below is an context that describes a sql query, paired with an question that provides further information. Write an answer that appropriately completes the request.  # noqa: E501
### Context:
CREATE TABLE table_name_44 (heat INTEGER, lane VARCHAR, quart VARCHAR)
### Question:
When a lane of 4 has a QUART greater than 44.62, what is the lowest HEAT?
### Answer:
SELECT MIN(heat) FROM table_name_44 WHERE lane = 4 AND quart > 44.62