### Database Schema:
CREATE TABLE tags (
	index	INTEGER	NULL	PRIMARY KEY,
	id	INTEGER	NULL,
	tag	TEXT	NULL,
	foreign key (id) references torrents (id)
);

CREATE TABLE torrents (
	groupName	TEXT	NULL,
	totalSnatched	INTEGER	NULL,
	artist	TEXT	NULL,
	groupYear	INTEGER	NULL,
	releaseType	TEXT	NULL,
	groupId	INTEGER	NULL,
	id	INTEGER	NULL	PRIMARY KEY
);

### User's Query:
List the group name has the most downloaded that have released jazz genres from 1982 or later.

### Extra Knowledge:
the most downloaded refers to MAX(totalSnatched); tag = 'jazz'; from 1982 or later refers to groupYear ≥ 1982;
SELECT T1.groupName FROM torrents AS T1 INNER JOIN tags AS T2 ON T1.id = T2.id WHERE T2.tag = 'jazz' AND T1.groupYear >= 1982 ORDER BY T1.totalSnatched DESC LIMIT 1