Communications plugs and patch cords with mode conversion control circuitry

A patch cord comprising:

• a communications cable that includes at least first through eighth conductors, wherein the fourth and fifth conductors are twisted together to form a first twisted pair, the first and second conductors are twisted together to form a second twisted pair, the third and sixth conductors are twisted together to form a third twisted pair, and the seventh and eighth conductors are twisted together to form a fourth twisted pair;
• and
• a plug that is attached to the communications cable, the plug comprising:
• a housing that receives the communications cable;
• first through eighth plug contacts that include plug contact regions that are substantially aligned in a row in numerical order;
• a printed circuit board that is at least partly within the housing, the printed circuit board including first through eighth conductive paths that connect the first through eighth conductors to the respective first through eighth plug contacts,
• wherein a first portion of the first conductive path and a first portion of the second conductive path are routed as a transmission line, and
• wherein a first portion of the sixth conductive path is routed between the first portion of the first conductive path and the first portion of the second conductive path.