UPDATE 1-US gas futures seesaw, supported by cold weather

* Front month remains above 3-month low * Near-term cold to turn mild next week in eastern U.S. * Nuclear outages running above normal levels By Eileen Houlihan NEW YORK, Feb 4 (Reuters) - U.S. natural gas futures seesawed on either side of positive territory early Monday, with near-term cold in the eastern half of the country lending support to prices despite long-term weather forecasts calling for milder weather that should curb heating demand. As of 9:44 a.m. EST (1444 G