Thank you, Uwe.

summary(m1) gives me p-value estimates of:
(Intercept) 2e-16
x1 6.9e-15
x2 1.9e-07
x3 2.7e-09

While coef(summary(m1))[,4] gives me:
(Intercept) 3.0e-23
x1 5.7e-13
x2 2.6e-07
x3 1.7e-17

While the first one confirms my suspicion (-23 instead of -16), the latter
one vary drastically (especially x3 from -09 to -17). Why is that?

Thank you!
T.

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