Display screen or portion thereof with an animated graphical user interface of a programmed computer system

FIG. 1 is a front view of the first image of a first embodiment of a display screen or portion thereof with an animated graphical user interface of a programmed computer screen.

FIG. 2 is a front view of a second image thereof;

FIG. 3 is a front view of a third image thereof;

FIG. 4 is a front view of a fourth image thereof;

FIG. 5 is a front view of a fifth image thereof;

FIG. 6 is a front view of a sixth image thereof;

FIG. 7 is a front view of a seventh image thereof;

FIG. 8 is a front view of an eighth image thereof;

FIG. 9 is a front view of a ninth image thereof;

FIG. 10 is a front view of the first image of a second embodiment thereof;

FIG. 11 is a front view of a second image thereof;

FIG. 12 is a front view of a third image thereof;

FIG. 13 is a front view of a fourth image thereof;

FIG. 14 is a front view of a fifth image thereof;

FIG. 15 is a front view of a sixth image thereof;

FIG. 16 is a front view of a seventh image thereof;

FIG. 17 is a front view of an eighth image thereof;

FIG. 18 is a front view of a ninth image thereof;

FIG. 19 is a front view of the first image of a third embodiment thereof;

FIG. 20 is a front view of a second image thereof;

FIG. 21 is a front view of a third image thereof;

FIG. 22 is a front view of a fourth image thereof;

FIG. 23 is a front view of a fifth image thereof;

FIG. 24 is a front view of a sixth image thereof;

FIG. 25 is a front view of a seventh image thereof;

FIG. 26 is a front view of an eighth image thereof; and,

FIG. 27 is a front view of a ninth image thereof.

The appearance of the image transitions sequentially between the images shown in FIGS. 1-9, 10-18 , or 19 - 27 . The process or period in which an image transitions to another forms no part of the claimed design. The broken lines showing a display screen or portion thereof, lines, and text form no part of the claimed design.