/usr/lib/open-axiom/input/cycles1.input is in open-axiom-test 1.5.0~svn3056+ds-1.
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 | -- Input generated from CycleIndicatorsXmpPage
)clear all
)expose EVALCYC
complete 1
complete 2
complete 3
complete 7
elementary 7
alternating 7
cyclic 7
dihedral 7
graphs 5
cap(complete 2**2, complete 2*complete 1**2)
cap(elementary 2**2, complete 2*complete 1**2)
cap(complete 3*complete 2*complete 1,complete 2**2*complete 1**2)
cap(elementary 3*elementary 2*elementary 1,complete 2**2*complete 1**2)
cap(complete 3*complete 2*complete 1,elementary 2**2*elementary 1**2)
eval(cup(complete 3*complete 2*complete 1, cup(complete 2**2*complete 1**2,complete 2**3)))
square:=dihedral 4
cap(complete 2**2,square)
cap(complete 3*complete 2**2,dihedral 7)
cap(graphs 5,complete 7*complete 3)
s(x) == powerSum(x)
cube:=(1/24)*(s 1**8+9*s 2**4 + 8*s 3**2*s 1**2+6*s 4**2)
cap(complete 4**2,cube)
cap(complete 2**3*complete 1**2,wreath(elementary 4,elementary 2))
cap(complete 2**3*complete 1**2,wreath(elementary 4,complete 2))
cap(complete 2**3*complete 1**2,wreath(complete 4,elementary 2))
cap(complete 2**3*complete 1**2,wreath(complete 4,complete 2))
x: ULS(FRAC INT,'x,0) := 'x
ZeroOrOne: INT -> ULS(FRAC INT, 'x, 0)
Integers: INT -> ULS(FRAC INT, 'x, 0)
ZeroOrOne n == 1+x**n
ZeroOrOne 5
Integers n == 1/(1-x**n)
Integers 5
eval(ZeroOrOne, graphs 5)
eval(ZeroOrOne,dihedral 8)
eval(Integers,complete 4)
eval(Integers,elementary 4)
eval(ZeroOrOne,cube)
eval(Integers,cube)
eval(Integers,graphs 5)
eval(ZeroOrOne ,graphs 15)
cap(dihedral 30,complete 7*complete 8*complete 5*complete 10)
sf3221:= SFunction [3,2,2,1]
cap(sf3221,complete 2**4)
cap(sf3221, powerSum 1**8)
eval(Integers, sf3221)
|