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/usr/share/axiom-20120501/input/coercels.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.

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)set break resume
)spool coercels.output
)set message test on
)set message auto off
)clear all

--S 1 of 8
alternatingGroup 4
--R 
--R
--R   (1)  <(1 2)(3 4),(1 2 3)>
--R                                              Type: PermutationGroup(Integer)
--E 1

--S 2 of 8
% :: List Permutation Integer
--R 
--R
--R   (2)  [(1 2)(3 4),(1 2 3)]
--R                                             Type: List(Permutation(Integer))
--E 2

--S 3 of 8
li := %
--R 
--R
--R   (3)  [(1 2)(3 4),(1 2 3)]
--R                                             Type: List(Permutation(Integer))
--E 3

--S 4 of 8
pgr := MonoidRing(Polynomial PrimeField 5, Permutation Integer)
--R 
--R
--R   (4)  MonoidRing(Polynomial(PrimeField(5)),Permutation(Integer))
--R                                                                 Type: Domain
--E 4

--S 5 of 8
p : pgr := first  li
--R 
--R
--R   (5)  (1 2)(3 4)
--R             Type: MonoidRing(Polynomial(PrimeField(5)),Permutation(Integer))
--E 5

--S 6 of 8
q : pgr := first  li
--R 
--R
--R   (6)  (1 2)(3 4)
--R             Type: MonoidRing(Polynomial(PrimeField(5)),Permutation(Integer))
--E 6

--S 7 of 8
basis  := [p,q,p*p,p*q, q*p,q*q, p*q*q, p*q*p, q*p*q,q*q*p,q*p*q*q,q*q*p*q]
--R 
--R
--R   (7)
--R   [(1 2)(3 4), (1 2)(3 4), 1, 1, 1, 1, (1 2)(3 4), (1 2)(3 4), (1 2)(3 4),
--R    (1 2)(3 4), 1, 1]
--R       Type: List(MonoidRing(Polynomial(PrimeField(5)),Permutation(Integer)))
--E 7

--S 8 of 8
% :: Set          MonoidRing(Polynomial PrimeField 5,Permutation Integer)
--R 
--R
--R   (8)  {(1 2)(3 4),1}
--R        Type: Set(MonoidRing(Polynomial(PrimeField(5)),Permutation(Integer)))
--E 8
)spool
)lisp (bye)