In[84]:= angles = {\[Pi] - ArcTan[7/26], \[Pi] -
ArcTan[37/50], \[Pi] + ArcTan[65/28], \[Pi]/2, ArcTan[45/74],
2 \[Pi] - ArcTan[93/82]}
Out[84]= {\[Pi] - ArcTan[7/26], \[Pi] - ArcTan[37/50], \[Pi] +
ArcTan[65/28], \[Pi]/2, ArcTan[45/74], 2 \[Pi] - ArcTan[93/82]}
In[85]:= Ordering[angles]
Out[85]= {4, 1, 5, 2, 6, 3}
In[87]:= Ordering[1.0*angles]
Out[87]= {5, 4, 2, 1, 3, 6}
Why is Out[87] and Out[85] different? I thought Out[87] is the correct result.
Thank you for any guidance.