The 2-well splits in K

ε-1
π₁3
π₂2

From your note: in K = ℚ(√4190205) at conductor 16 the prime 2 has two wells. π₁ has e = 16, f = 8; π₂ has e = 8, f = 16. Ring labels show how much each depth step adds to the 2-adic valuation of the norm (8 per step in π₁, 16 per step in π₂). The unit column is ε, where negative depth sits above the surface. Tap a level to set that exponent. Right-drag pans, double-click resets the view.