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This module implements the Dynkin diagram template, Template:Dynkin. It is invoked as
{{#invoke:Dynkin|Dynkin}}
though the parameter is ignored; instead it uses the parameters passed to the template. See the template documentation for how that is used.
For using this from other Lua modules, first load the module.
local Dynkin = require('Module:Dynkin')._Dynkin
You can then use it with the following syntax.
Dynkin{"node", "3", "node"}
See the template documentation for possible inputs.