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/usr/share/axiom-20170501/input/bezout.input is in axiom-test 20170501-3.

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)set break resume
)sys rm -f  bezout.output
)spool bezout.output
)set message test on
)set message auto off
)clear all
--S 1 of 4
bp:=BezoutMatrix(Integer,SUP(INT),U32Matrix,U32Vector,U32Vector)
--R
--R   (1)
--R  BezoutMatrix(Integer,SparseUnivariatePolynomial(Integer),U32Matrix,U32Vector,
--R  U32Vector)
--R                                                                 Type: Domain
--E 1 

--S 2 of 4
p:=(x^3+1)::SUP(INT)
--R
--R         3
--R   (2)  ?  + 1
--R                                    Type: SparseUnivariatePolynomial(Integer)
--E 2

--S 3 of 4
q:=(x^2+x+1)::SUP(INT)
--R
--R         2
--R   (3)  ?  + ? + 1
--R                                    Type: SparseUnivariatePolynomial(Integer)
--E 3

--S 4 of 4
sylvesterMatrix(p,q)$bp
--R
--R        +1  0  0  1  0+
--R        |             |
--R        |0  1  0  0  1|
--R        |             |
--R   (4)  |1  1  1  0  0|
--R        |             |
--R        |0  1  1  1  0|
--R        |             |
--R        +0  0  1  1  1+
--R                                                              Type: U32Matrix
--E 4
)spool 
)lisp (bye)