/usr/lib/open-axiom/input/lexp.input is in open-axiom-test 1.4.1+svn~2626-2ubuntu2.
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 | )cl all
a: Symbol := 'a
b: Symbol := 'b
coef := Fraction(Integer)
group := LieExponentials(Symbol, coef, 3)
lpoly := LiePolynomial(Symbol, coef)
poly := XPBWPolynomial(Symbol, coef)
ea := exp(a::lpoly)$group
eb := exp(b::lpoly)$group
g: group := ea*eb
g :: poly
log(g)$group
g1: group := inv(g)
g*g1
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