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/usr/share/axiom-20170501/input/testpackage.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.

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)set break resume
)spool testpackage.output
)set message test on
)set message auto off
)clear all
)sys cp $AXIOM/../../src/input/testpackage.input.pamphlet .
)lisp (tangle "testpackage.input.pamphlet" "testpackage.spad" "testpackage.spad")
)co testpackage.spad

--S 1 of 5
m := matrix [[12, -51, 4+%i], [6, 167, -68], [-4, 24, -41]]
--R
--R        +12   - 51  4 + %i+
--R        |                 |
--R   (1)  | 6   167    - 68 |
--R        |                 |
--R        +- 4   24    - 41 +
--R                                               Type: Matrix(Complex(Integer))
--E 1

--S 2 of 5
out := qr m
--R
--R            + 6     69      58+    +                  6   +
--R            | -    ---   - ---|    |14   21    - 14 + - %i|
--R            | 7    175     175|    |                  7   |
--R            |                 |    |                      |
--R            | 3     158    6  |    |                 69   |
--R   (2)  [q= | -   - ---   --- |,r= |0   - 175  70 + --- %i|]
--R            | 7     175   175 |    |                175   |
--R            |                 |    |                      |
--R            |  2     6     33 |    |                 58   |
--R            |- -  - --   - -- |    |0     0    35 - --- %i|
--R            +  7    35     35 +    +                175   +
--IType: Record(q: Matrix(Complex(Expression(Integer))),...
--E 2

--S 3 of 5
transpose(map(conjugate,out.q))*out.q
--R
--R        +1  0  0+
--R        |       |
--R   (3)  |0  1  0|
--R        |       |
--R        +0  0  1+
--R                                   Type: Matrix(Complex(Expression(Integer)))
--E 3

--S 4 of 5
out.q*transpose(map(conjugate,out.q))
--R
--R        +1  0  0+
--R        |       |
--R   (4)  |0  1  0|
--R        |       |
--R        +0  0  1+
--R                                   Type: Matrix(Complex(Expression(Integer)))
--E 4

--S 5 of 5
out.q * out.r - m
--R
--R        +0  0  0+
--R        |       |
--R   (5)  |0  0  0|
--R        |       |
--R        +0  0  0+
--R                                   Type: Matrix(Complex(Expression(Integer)))
--E 5
 
)spool 
)lisp (bye)