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/usr/share/axiom-20120501/input/fnla.input is in axiom-test 20120501-8.

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)set break resume
)spool fnla.output
)set message test on
)set message auto off
)clear all
 
--S 1 of 7
fnl := FNLA(4,4,INT)
--R 
--R
--R   (1)  FreeNilpotentLie(4,4,Integer)
--R                                                                 Type: Domain
--E 1

--S 2 of 7
dimension()$fnl
--R 
--R
--R   (2)  90
--R                                                     Type: NonNegativeInteger
--E 2
 
--S 3 of 7
x:fnl := generator(1)
--R 
--R
--R   (3)  e
--R         1
--R                                          Type: FreeNilpotentLie(4,4,Integer)
--E 3

--S 4 of 7
y:fnl := generator(17)
--R 
--R
--R   (4)  e
--R         17
--R                                          Type: FreeNilpotentLie(4,4,Integer)
--E 4

--S 5 of 7
z:=x*y
--R 
--R
--R   (5)  2e   - e   + e
--R          78    45    38
--R                                          Type: FreeNilpotentLie(4,4,Integer)
--E 5

--S 6 of 7
deepExpand z
--R 
--R
--R   (6)  2[[e ,e ],[e ,e ]] - [e ,[e ,[e ,e ]]] + [e ,[e ,[e ,e ]]]
--R            1  2    2  3       3   2   1  2        2   2   1  3
--R                                                             Type: OutputForm
--E 6

--S 7 of 7
shallowExpand z
--R 
--R
--R   (7)  2[e ,e ] - [e ,e  ] + [e ,e  ]
--R           5  8      3  14      2  15
--R                                                             Type: OutputForm
--E 7
)spool 
)lisp (bye)