For reasons unknown, the Alaska state capitol building is probably the least ornate of any state capitol. In fact it's the only one i've ever seen without a dome. Here's a photo. It's really a rather non-descript office building. Perhaps that's a good sign. Perhaps the government of Alaska is quite thrifty, or perhaps they are just not very imaginative.
ED NOTE :: Here are detailed description and photos of all the state capitols, so you can compare.