Identify these two large, colorful dragonflies in Taiwan?

Here are two dragonflies that I photographed today in Hsinchu county Taiwan. They are both quite large, with a body length of about 5 or 6 cm.

I often see them in the same pond or nearby marshy area. They seem pretty confident and are easy to photograph as long as you don’t make a big commotion.

The arrows were drawn for my other question Why do dragonflies have these special little spots on their wings?

Is it possible to identify these two species? I can break them out as separate questions if necessary; I don’t want to flood the site with "identify this dragonfly" questions.

The first is jet-black everywhere except for a robins-egg blue powdery coloration along the top side of the first two-thirds of it’s abdomen. It’s wings, like most but not all dragonflies, are transparent.

The second has some amount of red almost everywhere; its eyes and thorax are dull red and it has bright red patches on each segment of its abdomen. Notably its wings are solid opaque red, except for the furthers 1 cm which is transparent. The tiny "special spots" on the tips of each wing are a particularly bright shade of red!