A polymer of the invention comprising the comonomers ethylene, one or more alpha-olefins having 3 to 20 carbon atoms, and one or more cyclic dienes having up to 30 carbon atoms, said polymer having a density of at least 0.890 gram per cubic centimeter; long chain branching; a plurality of double bonds; an Mw/Mn ratio ratio (PDI) of at least 2.5; a flow activation energy of greater than about 6.5 kcal/mol; and a Relaxation Spectrum Index (RSI), PDI, and Melt Index (MI), such that RSI.multidot.MI.sup.a >2.7 and RSI.multidot.MI.sup.a.multidot.PDI.sup.b is in the range of about 0.8 to about 60, when a and b are about 0.6 and minus 1.2, respectively.