english ---- français
Our final goal is to realize a program to compute the
A-polynomial of knots in S3.
For now, you can find here an pplet to compute the trace of a word
in terms of the traces of the generators of length at most three..
In
fact only the elementary formula tab+tab-1=tatb is used here.
USE
Everything is slightly obivious for those familiar to the field: you choose the generator
of your group (one letter per generator then enter your word with
or without circumflexes for exponents. Pressing RETURN
or the button will trigger the computation... it thinks... then comes
back with the result.
The latter is displayed in two fashions: either with
the built in displayer which displays exponents and indices pretty
or as a text which you can copy and paste. If you would like to have
a bit more details about what's happening, try to open the Java console
(under Tools or Windows in some browsers, sometimes also on the standard console), this is
were all translations are displayed.
Note that this is still the version 0. The applet has
not yet been translated and a major, multi-threaded, dictionnary like
applet and application is under the factory. It will use only the
named formula and not the ones from
Gonzalèz-Acuña and Montesinos-Amilibia.
Some
advice on how to run applets is available here in french.
or the version without plugin