As George Mallory said when asked "Why did you want to climb Mount Everest?" "Because it's there." The number of legal Go positions is a simply defined number

As George Mallory said when asked "Why did you want to climb Mount Everest?" "Because it's there." The number of legal Go positions is a simply defined number that is easily approximated but an enormous computational challenge to compute exactly. I've made it my Mount Everest:-) I also want to see if the number, written as 19x19 trits in ternary, corresponds to a legal position, which would be totally awesome (but at 1.2% the odds are against it).