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Matthias Koeppe
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More # optional
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src/sage/combinat/root_system/coxeter_type.py

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@@ -357,16 +357,16 @@ def bilinear_form(self, R=None):
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EXAMPLES::
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sage: CoxeterType(['A', 2, 1]).bilinear_form() # optional - sage.graphs
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sage: CoxeterType(['A', 2, 1]).bilinear_form() # optional - sage.graphs sage.rings.number_field
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[ 1 -1/2 -1/2]
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[-1/2 1 -1/2]
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[-1/2 -1/2 1]
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sage: CoxeterType(['H', 3]).bilinear_form() # optional - sage.graphs
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sage: CoxeterType(['H', 3]).bilinear_form() # optional - sage.graphs sage.rings.number_field
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[ 1 -1/2 0]
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[ -1/2 1 1/2*E(5)^2 + 1/2*E(5)^3]
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[ 0 1/2*E(5)^2 + 1/2*E(5)^3 1]
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sage: C = CoxeterMatrix([[1,-1,-1],[-1,1,-1],[-1,-1,1]]) # optional - sage.graphs
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sage: C.bilinear_form() # optional - sage.graphs
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sage: C = CoxeterMatrix([[1,-1,-1],[-1,1,-1],[-1,-1,1]]) # optional - sage.graphs sage.rings.number_field
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sage: C.bilinear_form() # optional - sage.graphs sage.rings.number_field
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[ 1 -1 -1]
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[-1 1 -1]
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[-1 -1 1]

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