The D610 lists the following:
The D810:
What are "cross-type" sensors?
Why are various autofocus points only available at certain apertures?
39 focus points (including 9 cross-type sensors; the center 33 points are available at apertures slower than f/5.6 and faster than f/8, while the center 7 focus points are available at f/8)
The D810:
51 focus points (including 15 cross-type sensors; f/8 supported by 11 sensors)
What are "cross-type" sensors?
Why are various autofocus points only available at certain apertures?