/usr/share/axiom-20120501/input/multfact.input is in axiom-test 20120501-8.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 | )set break resume
)spool multfact.output
)set message test on
)set message auto off
)clear all
--S 1 of 5
a := rootOf(a**2+a+1)
--R
--R
--R (1) a
--R Type: AlgebraicNumber
--E 1
--S 2 of 5
p := y*z**2 + a*z*x**2 + a*a*x*y**2
--R
--R
--R 2 2 2
--R (2) y z + a x z + (- a - 1)x y
--R Type: Polynomial(AlgebraicNumber)
--E 2
--S 3 of 5
factor(p,[a])
--R
--R
--R 2 2 2
--R (3) y z + a x z + (- a - 1)x y
--R Type: Factored(Polynomial(AlgebraicNumber))
--E 3
--S 4 of 5
b:=rootOf(b**2+1)
--R
--R
--R (4) b
--R Type: AlgebraicNumber
--E 4
--S 5 of 5
factor(x**2*y**2+u**2*v**2,[b])
--R
--R
--R (5) (x y - b u v)(x y + b u v)
--R Type: Factored(Polynomial(AlgebraicNumber))
--E 5
)spool
)lisp (bye)
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