/usr/share/axiom-20170501/input/coercels.input is in axiom-test 20170501-3.
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 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 | )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)
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