Maintaining relationships with children after divorce

Now that I'm divorced, how can I stay involved with my kids? One of the most difficult outcomes of the settlement is that it limits my contact with them. Legally, I'm only allowed to have them a few days out of each month. I'd like to be more involved, but my ex-wife is very strict in her interpretation of the court order. How, under these circumstances, can I continue to have a godly influence in my children's lives?