angles in circle

LaTeX4Web 1.4 OUTPUT We can also represent primitive roots (see section "Primitive roots") in the unit circle. For instance, we can represent the primitive roots of 59 and 103 in the unit circle. We also see that they are distributed following the percentages that we found statistically in section "Primitive roots":

Then we asked: what if we look at the angle in which each primitive root is located? And what if we compare these angles to the angles in which each generator is located for the same n (see section "Group, ring, field")? Here we provide two codes: the first one returns the angles where primitive roots lie for each integer n and the second one returns the angles where generators lie for each integer n:

AnglesPRoots.txt AnglesPRoots.txt
Size : 6.263 Kb
Type : txt
AnglesGenerators.txt AnglesGenerators.txt
Size : 1.73 Kb
Type : txt

Here you can see an example of the output of the first code (for primitive roots):

Here you can see an example of the output of the second code (for the generators):