Brute Force Calculation of the trace's zeros

Numerator of the trace of R for the Tempaltor

[Graphics:../Images/templator_gr_80.gif]
[Graphics:../Images/templator_gr_81.gif]

First we include a01 and bss and calculate the numerator of the trace of R as a function of the parameters

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We check the result in the limit of the Minimal Template

[Graphics:../Images/templator_gr_84.gif]
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Notice again the spaces, and again we do the simplification by hand

[Graphics:../Images/templator_gr_86.gif]
[Graphics:../Images/templator_gr_87.gif]

Notice the (-1) from the denominator !!!!!  Also, the spaces in the output could give you some problem if you just cut and paste in the definition of a function

Again we check agains the Minimal Templator

[Graphics:../Images/templator_gr_88.gif]
[Graphics:../Images/templator_gr_89.gif]

We try some simbolic algebra

[Graphics:../Images/templator_gr_90.gif]
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In the limit of the Minimal Templator

[Graphics:../Images/templator_gr_92.gif]
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The whole numerator

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One more time checking agains the Minimal Templator

[Graphics:../Images/templator_gr_95.gif]
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Definition of functions.  The choice has no particular reason.  These definitions seemed to work with MATHEMATICA, which has some problemes simplifying

[Graphics:../Images/templator_gr_97.gif]
[Graphics:../Images/templator_gr_98.gif]

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some values of the function c00 and c01 that give us the same sign as the trace of R

[Graphics:../Images/templator_gr_100.gif]
[Graphics:../Images/templator_gr_101.gif]
[Graphics:../Images/templator_gr_102.gif]
[Graphics:../Images/templator_gr_103.gif]
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We really do not need to do this.

[Graphics:../Images/templator_gr_107.gif]


Converted by Mathematica      November 14, 2000