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Matthias Koeppe
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src/sage/combinat: sage -fixdoctests --only-tags
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src/sage/combinat/root_system/root_system.py

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@@ -205,13 +205,13 @@ class RootSystem(UniqueRepresentation, SageObject):
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sage: W = L.weyl_group() # needs sage.libs.pari
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sage: S3 = [ w.action(id) for w in W.classical() ] # needs sage.graphs sage.libs.pari
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sage: [L.classical()(x) for x in S3] # needs sage.libs.pari
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sage: [L.classical()(x) for x in S3] # needs sage.graphs sage.libs.pari
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[(1, 2, 3), (3, 1, 2), (2, 3, 1), (2, 1, 3), (1, 3, 2), (3, 2, 1)]
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And the action of `s_0` on these yields::
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sage: s = W.simple_reflections() # needs sage.libs.pari
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sage: [L.classical()(s[0].action(x)) for x in S3] # needs sage.libs.pari
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sage: [L.classical()(s[0].action(x)) for x in S3] # needs sage.graphs sage.libs.pari
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[(0, 2, 4), (-1, 1, 6), (-2, 3, 5), (0, 1, 5), (-1, 3, 4), (-2, 2, 6)]
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We can also plot various components of the ambient spaces::

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