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# 5 Information Messages

### Sections

1. Info Class
2. Example

It is possible to get informations about the status of the computation of the functions of Chapter 2 of this manual.

## 5.1 Info Class

- `InfoPolenta`

  is the Info class of the Polenta package (for more details on the Info mechanism see Section Info Functions of the GAP Reference Manual). With the help of the function `SetInfoLevel(InfoPolenta,`level`)` you can change the info level of `InfoPolenta`.

  --
    If `InfoLevel( InfoPolenta )` is equal to 0 then no information messages are displayed.
  --
    If `InfoLevel( InfoPolenta )` is equal to 1 then basic informations about the process are provided. For further background on the displayed informations we refer to Assmann (publicly available via the Internet address `http://cayley.math.nat.tu-bs.de/software/assmann/`).
  --
    If `InfoLevel( InfoPolenta )` is equal to 2 then, in addition to the basic information, the generators of computed subgroups and module series are displayed.

  ## 5.2 Example

      gap> SetInfoLevel( InfoPolenta, 1 );

      gap> PcpGroupByMatGroup( PolExamples(11) );
      #I  Determine a constructive polycyclic sequence
          for the input group ...
      #I
      #I  Chosen admissible prime: 3
      #I
      #I  Determine a constructive polycyclic sequence
          for the image under the p-congruence homomorphism ...
      #I  finished.
      #I  Finite image has relative orders [ 3, 2, 3, 3, 3 ].
      #I
      #I  Compute normal subgroup generators for the kernel
          of the p-congruence homomorphism ...
      #I  finished.
      #I
      #I  Compute the radical series ...
      #I  finished.
      #I  The radical series has length 4.
      #I
      #I  Compute the composition series ...
      #I  finished.
      #I  The composition series has length 5.
      #I
      #I  Compute a constructive polycyclic sequence
          for the induced action of the kernel to the composition series ...
      #I  finished.
      #I  This polycyclic sequence has relative orders [  ].
      #I
      #I  Calculate normal subgroup generators for the
          unipotent part ...
      #I  finished.
      #I
      #I  Determine a constructive polycyclic  sequence
          for the unipotent part ...
      #I  finished.
      #I  The unipotent part has relative orders
      #I  [ 0, 0, 0 ].
      #I
      #I  ... computation of a constructive
          polycyclic sequence for the whole group finished.
      #I
      #I  Compute the relations of the polycyclic
          presentation of the group ...
      #I  Compute power relations ...
      #I  ... finished.
      #I  Compute conjugation relations ...
      #I  ... finished.
      #I  Update polycyclic collector ...
      #I  ... finished.
      #I  finished.
      #I
      #I  Construct the polycyclic presented group ...
      #I  finished.
      #I
      Pcp-group with orders [ 3, 2, 3, 3, 3, 0, 0, 0 ]

      gap> SetInfoLevel( InfoPolenta, 2 );

      gap> PcpGroupByMatGroup( PolExamples(11) );
      #I  Determine a constructive polycyclic sequence
          for the input group ...
      #I
      #I  Chosen admissible prime: 3
      #I
      #I  Determine a constructive polycyclic sequence
          for the image under the p-congruence homomorphism ...
      #I  finished.
      #I  Finite image has relative orders [ 3, 2, 3, 3, 3 ].
      #I
      #I  Compute normal subgroup generators for the kernel
          of the p-congruence homomorphism ...
      #I  finished.
      #I  The normal subgroup generators are
      #I  [ [ [ 1, -3/2, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 3 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, 0, 0, 24 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, 3, 3, 15 ], [ 0, 1, 0, 6 ], [ 0, 0, 1, -6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, 3, 3, 9 ], [ 0, 1, 0, 6 ], [ 0, 0, 1, -6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, 3/2, 3/2, 3/2 ], [ 0, 1, 0, 3 ], [ 0, 0, 1, -3 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, -3/2, 9/2, -69/2 ], [ 0, 1, 0, 9 ], [ 0, 0, 1, 3 ], [ 0, 0, 0, 1 ] ]
          , [ [ 1, 0, 0, -24 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, -3, -3, -9 ], [ 0, 1, 0, -6 ], [ 0, 0, 1, 6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, -3, -3, -15 ], [ 0, 1, 0, -6 ], [ 0, 0, 1, 6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, -3, 0, 9 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, -3, -3, -9 ], [ 0, 1, 0, -6 ], [ 0, 0, 1, 6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, -3, 0, 9 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, -3/2, -3/2, -9/2 ], [ 0, 1, 0, -3 ], [ 0, 0, 1, 3 ], [ 0, 0, 0, 1 ]
           ],
        [ [ 1, -3, -3, -12 ], [ 0, 1, 0, -6 ], [ 0, 0, 1, 6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, 3, -3/2, -21 ], [ 0, 1, 0, -3 ], [ 0, 0, 1, -6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, 3/2, 3/2, 9/2 ], [ 0, 1, 0, 3 ], [ 0, 0, 1, -3 ], [ 0, 0, 0, 1 ] ] ]
      #I
      #I  Compute the radical series ...
      #I  finished.
      #I  The radical series has length 4.
      #I  The radical series is
      #I  [ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ],
        [ [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], [ [ 0, 0, 0, 1 ] ],
        [  ] ]
      #I
      #I  Compute the composition series ...
      #I  finished.
      #I  The composition series has length 5.
      #I  The composition series is
      #I  [ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ],
        [ [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ],
        [ [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], [ [ 0, 0, 0, 1 ] ], [  ] ]
      #I
      #I  Compute a constructive polycyclic sequence
          for the induced action of the kernel to the composition series ...
      #I  finished.
      #I  This polycyclic sequence has relative orders [  ].
      #I
      #I  Calculate normal subgroup generators for the
          unipotent part ...
      #I  finished.
      #I  The normal subgroup generators for the unipotent part are
      #I  [ [ [ 1, -3/2, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 3 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, 0, 0, 24 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, 3, 3, 15 ], [ 0, 1, 0, 6 ], [ 0, 0, 1, -6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, 3, 3, 9 ], [ 0, 1, 0, 6 ], [ 0, 0, 1, -6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, 3/2, 3/2, 3/2 ], [ 0, 1, 0, 3 ], [ 0, 0, 1, -3 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, -3/2, 9/2, -69/2 ], [ 0, 1, 0, 9 ], [ 0, 0, 1, 3 ], [ 0, 0, 0, 1 ] ]
          , [ [ 1, 0, 0, -24 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, -3, -3, -9 ], [ 0, 1, 0, -6 ], [ 0, 0, 1, 6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, -3, -3, -15 ], [ 0, 1, 0, -6 ], [ 0, 0, 1, 6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, -3, 0, 9 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, -3, -3, -9 ], [ 0, 1, 0, -6 ], [ 0, 0, 1, 6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, -3, 0, 9 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, -3/2, -3/2, -9/2 ], [ 0, 1, 0, -3 ], [ 0, 0, 1, 3 ], [ 0, 0, 0, 1 ]
           ],
        [ [ 1, -3, -3, -12 ], [ 0, 1, 0, -6 ], [ 0, 0, 1, 6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, 3, -3/2, -21 ], [ 0, 1, 0, -3 ], [ 0, 0, 1, -6 ], [ 0, 0, 0, 1 ] ],
        [ [ 1, 3/2, 3/2, 9/2 ], [ 0, 1, 0, 3 ], [ 0, 0, 1, -3 ], [ 0, 0, 0, 1 ] ] ]
      #I
      #I  Determine a constructive polycyclic  sequence
          for the unipotent part ...
      #I  finished.
      #I  The unipotent part has relative orders
      #I  [ 0, 0, 0 ].
      #I
      #I  ... computation of a constructive
          polycyclic sequence for the whole group finished.
      #I
      #I  Compute the relations of the polycyclic
          presentation of the group ...
      #I  Compute power relations ...
      .....
      #I  ... finished.
      #I  Compute conjugation relations ...
      ..............................................
      #I  ... finished.
      #I  Update polycyclic collector ...
      #I  ... finished.
      #I  finished.
      #I
      #I  Construct the polycyclic presented group ...
      #I  finished.
      #I
      Pcp-group with orders [ 3, 2, 3, 3, 3, 0, 0, 0 ]

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