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We denote here by
the set of solutions of the following system of homogeneous linear equations :

(4.2) 
Let
(x_{1},y_{1},z_{1}) and
(x_{2},y_{2},z_{2}) be two elements of
.
Then:

(x_{1}+x_{2})+2(y_{1}+y_{2})(z_{1}+z_{2})=0 and
3((x_{1}+x_{2})5(y_{1}+y_{2})+2(z_{1}+z_{2})=0, i.e.
(x_{1},y_{1},z_{1})+(x_{2},y_{2},z_{2}) is an element of
.
 For any
,
and
,
i.e.
and
,
which means that
.
Noah DanaPicard
20010226