What's wrong with my arc tangens calculation?

[xliiv]

I do some math with python:

import math as m
m.degrees(m.atan(2))
>>> 63.43494882292201

but when i lookup tg in a paper table (last decade math book) i've got these values:

tg(63'10'') = 1.9768
tg(63'20'') = 1.9912
tg(63'30'') = 2.0057

For me python should return something more like 63'2x'' than 63'4x''(becasue 63'30'' is higher than 2.0)

what's wrong?