Ziele Untersuchung
mit Columbo Integrität von
Datenbanken Interaktion und
Portierbarkeit Ergonomie der
Schnittstellen

Angebot Produkte Projekt Beratung

Mittel Analytik Modellierung Sprachen Algebra Logik Hardware Denken Kreativität

Zusammenhänge Gesellschaft Wirtschaft Branche Firma

Benutzer


products/Sources/formale Sprachen/GAP/pkg/hap/lib/Homology/BarCodes/ (GAP Algebra Version 4.15.1^©) Datei vom 19.6.2025 mit Größe 56 kB

Quelle DerivedSeries_64.gi Sprache: unbekannt

Spracherkennung für: .gi vermutete Sprache: Unknown {[0] [0] [0]} [Methode: Schwerpunktbildung, einfache Gewichte, sechs Dimensionen]

HAPBARCODE:=
[
[
   [ [[-1], [-1, 1]] ]
],

[
   [ [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1], [1, -1, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, -1, 1], [1, -3, 3, -1, -1, 3, -3, 1]],  [[1, 1, -1], [1, -1, -1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1], [1, -1, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 2, 0, -2, 1]],  [[-1, -2, -1, -1], [-1, 0, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 2, 0, -2, 1]],  [[1, 1, -1], [1, -1, -1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, -1, -1], [-1, 1, 1, -1, 1, -1, -1, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, -1, -2], [-1, 1, 0, 0, 2, -2, 0, 0, -1, 1]],  [[-1, -1, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 2, -1, 0, 1, -2, 1]],  [[-1, -1, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 0, 1, 0, 1], [1, -2, 3, -4, 3, -2, 1]],  [[1, 2, 2], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 2, 0, -2, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 1]],  [[1, 2, 2, 1, 1], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 1]],  [[1, 2, 2, 1, 1], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 1, 2, -2, -1, 1]],  [[1, 2], [1, 0, -2, 0, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 1, -2, 2, -1, -1, 1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[1, 2, 0, -1, 0, -1], [1, 0, -2, 0, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 1, -2, 2, -1, -1, 1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[1, 2, 0, -1, 0, -1], [1, 0, -2, 0, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 2, 0, -2, 1]],  [[1, 1, -1], [1, -1, -1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 1, 2, -2, -1, 1]],  [[1, 2], [1, 0, -2, 0, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 2, 0, -2, 1]],  [[1, 1, -1], [1, -1, -1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1], [1, -1, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, -1, 2, -1], [1, -3, 3, -1, -1, 3, -3, 1]],  [[1, 2], [1, 0, -2, 0, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1], [1, -1, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 2, 0, -2, 1]],  [[-1, -2, -1, -1], [-1, 0, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1], [1, -1, 0, 0, 0, 0, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 1, -2, 2, -1, -1, 1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[-1, -1, 0, -1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 2, -2, 1]],  [[-1, -1, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 2, 0, -2, 1]],  [[1, 1, -1], [1, -1, -1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1, -1, 1], [1, -1, 0, 0, 0, 0, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 1, -1, 1, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[-1, -1, 0, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]],  [[-1, 1, -1, -1], [-1, 1, 1, -1, 1, -1, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, -1, 1], [1, -3, 3, -1, -1, 3, -3, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]],  [[-1, 2, -2, 0, 1, -1], [-1, 2, -1, 0, 0, 0, 0, 0, 1, -2, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, 0, -1, 0, 0, -1], [-1, 2, -1, 0, 0, 0, 0, 0, 1, -2, 1]],  [[-1, -1, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1], [1, -1, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 2, 0, -2, 1]],  [[-1, -2, -1, -1], [-1, 0, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1, -1, 1], [1, -1, 0, 0, 0, 0, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, -1, 1, 0, -1, -1, 1], [-1, 2, -1, 0, 0, 0, 0, 0, 1, -2, 1]],  [[-1, -2, -1, -1, 1, 1], [-1, 0, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 0, 1], [1, -1, 0, 0, 0, 0, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 1, -1, 0, 1, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[-1, -1, 0, 0, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 0, 0, 1], [1, -1, 0, 0, 0, 0, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 0, 1, 0, 0, 1], [1, -2, 2, -2, 2, -2, 2, -2, 1]],  [[1, 2, 2, 2, 1], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 2, 0, -2, 1]],  [[1, 1, -1], [1, -1, -1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 1, -1], [-1, 3, -4, 4, -3, 1]],  [[1, 1, -1, -1, 1], [1, -1, -1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 0, 1, 0, 0, 1], [1, -2, 2, -2, 2, -2, 2, -2, 1]],  [[-1, -2, -1, 0, 0, 1], [-1, 0, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 2, -2, 1]],  [[-1, -1, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 2, -2, 1]],  [[-1, -1, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 2, -2, 1]],  [[-1, -1, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 2, -2, 1]],  [[-1, -1, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 1]],  [[-1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -2, 2, -2, 1]],  [[-1, -1, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 1, -1, 1]],  [[1, 2, 2, 1], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -2, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -2, -1, 4, -1, -2, 1]],  [[-1, -2], [-1, 1, 2, -2, -1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -3, 2, 2, -3, 1]],  [[-1, -1, 1], [-1, 2, 0, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, -1], [-1, 3, -1, -5, 5, 1, -3, 1]],  [[-1, -1, 2, -1], [-1, 2, 0, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -3, 2, 2, -3, 1]],  [[1, 1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -3, 2, 2, -3, 1]],  [[1, 1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[-1, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[-1, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[-1, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -3, 2, 2, -3, 1]],  [[1, 1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -2, -1, 4, -1, -2, 1]],  [[1, 2], [1, -1, -1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -2, -1, -2, -1], [-1, 1, 1, -1, 1, -1, -1, 1]],  [[-1, -3, -3], [-1, 0, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, -1], [1, -2, -1, 4, -1, -2, 1]],  [[1, 2, 0, -2], [1, -1, -1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[-1, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -3, 2, 2, -3, 1]],  [[1, 1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[-1, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]],  [[-1], [-1, 0, 3, 0, -3, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -2, -1, 4, -1, -2, 1]],  [[-1, -2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]],  [[-1], [-1, 0, 2, 0, 0, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 0, 1, -1], [1, -3, 3, -1, -1, 3, -3, 1]],  [[-1, -2, 0, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]],  [[-1], [-1, 0, 3, 0, -3, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -3, 2, 2, -3, 1]],  [[-1, -2, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]],  [[-1], [-1, 0, 2, 0, 0, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 3, 3, 1], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]],  [[-1], [-1, 0, 3, 0, -3, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, -1], [1, -2, -1, 4, -1, -2, 1]],  [[-1, -2, 0, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]],  [[-1], [-1, 0, 3, 0, -3, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, -1], [1, -2, -1, 4, -1, -2, 1]],  [[-1, -2, 0, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]],  [[-1], [-1, 0, 2, 0, 0, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -2, -1, -2, -1], [-1, 1, 1, -1, 1, -1, -1, 1]],  [[1, 3, 3], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]],  [[-1], [-1, 0, 3, 0, -3, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, -1], [1, -2, -1, 4, -1, -2, 1]],  [[-1, -2, 0, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]],  [[-1], [-1, 0, 2, 0, 0, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -2, -1, -2, -1], [-1, 1, 1, -1, 1, -1, -1, 1]],  [[1, 3, 3], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]],  [[-1], [-1, 0, 0, 0, 3, 0, 0, 0, -3, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -2, -3, -6, -6, -6, -3, -2, -1], [-1, 1, -1, 1, 2, -2, 2, -2, -1, 1, -1, 1]],  [[1, 3, 3], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[1, 1, 0, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[1, 1, 0, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -3, 2, 2, -3, 1]],  [[-1, -1, 1], [-1, 2, 0, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, -1, 1], [1, -4, 7, -8, 7, -4, 1]],  [[1, 1, -1, -1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[-1, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1], [1, -1, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -3, 2, 2, -3, 1]],  [[1, 2, 1, 1], [1, -1, -1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1, -1, 1], [1, -1, 0, 0, 0, 0, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, -1, 0, 0, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[-1, -2, -2, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1], [1, -1, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, -1, 1], [1, -4, 7, -8, 7, -4, 1]],  [[1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1, -1, 1], [1, -1, 0, 0, 0, 0, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, -1, 0, 0, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[-1, -2, -2, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1, -1, 1], [1, -1, 0, 0, 0, 0, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, -1, 0, 0, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[-1, -2, -2, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -3, 2, 2, -3, 1]],  [[-1, -1, 1], [-1, 2, 0, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, -1, 1], [1, -4, 7, -8, 7, -4, 1]],  [[-1, -1, 1, 1, -1], [-1, 2, 0, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, -1, 0, 0, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[1, 2, 1, 0, 0, -1], [1, -1, -1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, -1, 0, 0, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[1, 2, 1, 0, 0, -1], [1, -1, -1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[-1, -2, -1, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[-1, -2, -1, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[1, 1, 0, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[1, 1, 0, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[1, 1, 0, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, 0, 1, -1, -1, 1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[1, 2, 1, -1, -2, -1, 1], [1, -1, -1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[1, 1, 0, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[-1, -2, -1, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, 0, -1, 1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -2, -1, 2, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, 0, -1], [-1, 2, -1, 0, 1, -2, 1]],  [[-1, -2, -1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[-1, -2, -1, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[1, 1, 0, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -2, 2, -2, 1]],  [[-1, -2, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[1, 1, 0, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -2, 2, -2, 1]],  [[-1, -2, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -2, 2, -2, 1]],  [[-1, -2, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -2, 2, -2, 1]],  [[-1, -2, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -2, 2, -2, 1]],  [[-1, -2, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1, 1, 1], [1, -2, 3, -4, 3, -2, 1]],  [[1, 3, 4, 2], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -3, 2, 2, -3, 1]],  [[1, 1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[-1, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[-1, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, -1, 1], [1, -4, 7, -8, 7, -4, 1]],  [[1, 1, -1, -1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 2, -1, 0, 1, -2, 1]],  [[-1, -2, -1, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 2, -1, 0, 1, -2, 1]],  [[-1, -2, -1, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1], [1, -1, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1], [1, -1, 0, 0, 0, 0, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, -1, 0, 0, 0, 1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[-1, -2, -1, -1, -1, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1, -1, 1], [1, -1, 0, 0, 0, 0, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, -1, 1, -1, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[1, 1, -1, 0, -1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1, -1, 1], [1, -1, 0, 0, 0, 0, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 2, 1, 2, 1, 1], [1, -2, 2, -2, 2, -2, 2, -2, 1]],  [[-1, -2, -1, -1, 0, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]],  [[-1, 1, -1], [-1, 1, 2, -2, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 0, 1, -1], [1, -3, 3, -1, -1, 3, -3, 1]],  [[1, 1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]],  [[-1, 2, -3, 3, -3, 2, -1], [-1, 2, -1, 0, 0, 0, 0, 0, 1, -2, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, -1, 0, -2, 0, -1], [-1, 2, -1, 0, 0, 0, 0, 0, 1, -2, 1]],  [[1, 1, -1, -1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[-1, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[-1, -2, -1, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[-1, -2, -1, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -2, 2, -2, 1]],  [[1, 3, 4, 3, 1], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, 0, -1], [-1, 2, -1, 0, 1, -2, 1]],  [[-1, -2, -1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, 0, 1], [-1, 2, -1, 0, 1, -2, 1]],  [[-1, -2, -1, 1, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, 0, -1], [-1, 2, -1, 0, 1, -2, 1]],  [[-1, -2, -1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[-1, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[-1, -2, -1, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[-1, -2, -1, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, 0, -1], [-1, 2, -1, 0, 1, -2, 1]],  [[-1, -2, -1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, 0, 1], [-1, 2, -1, 0, 1, -2, 1]],  [[-1, -2, -1, 1, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1, -1, 1], [1, -1, 0, 0, 0, 0, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, 0, 1, -1, -1, 1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[-1, -2, -1, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1], [1, -1, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[-1, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1, -1, 1, -1, 1], [1, -1, 0, 0, 0, 0, 0, 0, -1, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1, 0, 0, 1, 1], [1, -2, 2, -2, 2, -2, 2, -2, 1]],  [[-1, -2, -1, 0, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[-1, -2, -1, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1, 1, 1], [1, -2, 3, -4, 3, -2, 1]],  [[1, 3, 4, 2], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[-1, -2, -1, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1, 1, 1], [1, -2, 3, -4, 3, -2, 1]],  [[1, 3, 4, 2], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, 0, -2], [-1, 2, -2, 2, 0, -2, 2, -2, 1]],  [[-1, -2, -1, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1, 1, 1], [1, -2, 3, -4, 3, -2, 1]],  [[1, 3, 4, 2], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, 0, -1], [-1, 2, -1, 0, 1, -2, 1]],  [[-1, -2, -1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, 0, -1], [-1, 2, -1, 0, 1, -2, 1]],  [[-1, -2, -1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, 0, -2], [-1, 2, -2, 2, 0, -2, 2, -2, 1]],  [[-1, -2, -1, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, 0, -2], [-1, 2, -2, 2, 0, -2, 2, -2, 1]],  [[-1, -2, -1, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, 0, -2], [-1, 2, -2, 2, 0, -2, 2, -2, 1]],  [[-1, -2, -1, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, 0, -1, 1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -2, -1, 2, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[-1, -2, -1, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1, 1, 1], [1, -2, 3, -4, 3, -2, 1]],  [[1, 3, 4, 2], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, 0, -1, 1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -2, -1, 2, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, 0, 0, -1, 1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -2, -1, 2, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, 0, -2], [-1, 2, -2, 2, 0, -2, 2, -2, 1]],  [[-1, -2, -1, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1, 1, 1], [1, -2, 3, -4, 3, -2, 1]],  [[1, 3, 4, 2], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[-1, -2, -1, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[-1, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -2, 2, -2, 1]],  [[1, 3, 4, 3, 1], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[-1, -2, -1, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, 0, -1], [-1, 2, -1, 0, 1, -2, 1]],  [[-1, -2, -1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, 0, 1], [-1, 2, -1, 0, 1, -2, 1]],  [[-1, -2, -1, 1, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1, 1, 1], [1, -2, 3, -4, 3, -2, 1]],  [[1, 3, 4, 2], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1, 1, 1], [1, -2, 3, -4, 3, -2, 1]],  [[1, 3, 4, 2], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -2, 2, -2, 1]],  [[1, 3, 4, 3, 1], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1, 1, 1], [1, -2, 3, -4, 3, -2, 1]],  [[1, 3, 4, 2], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[1, 1, 0, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -2, 2, -2, 1]],  [[-1, -2, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -3, 1]],  [[1, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[1, 1, 0, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -2, 2, -2, 1]],  [[-1, -2, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -2, 2, -2, 1]],  [[-1, -2, -2, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 3, -4, 4, -3, 1]],  [[1, 1, 0, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1, 0, 0, 1, 1], [1, -2, 2, -2, 2, -2, 2, -2, 1]],  [[-1, -2, -2, -1, 0, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 3, -3, 1]] ]
],

[
   [ [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 4, -5, 0, 5, -4, 1]],  [[1, 1, -1], [1, -3, 2, 2, -3, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 6, -4, 1]],  [[-1, -1], [-1, 3, -3, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 7, -8, 7, -4, 1]],  [[-1, -1, 0, 1], [-1, 3, -3, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 6, -4, 1]],  [[-1, -1], [-1, 3, -3, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -3, 1]],  [[1, 2, 2, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -3, 1]],  [[1, 2, 2, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 7, -8, 7, -4, 1]],  [[-1, -1, 0, 1], [-1, 3, -3, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[1, 2, 2, 1, 0, -1, -1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -3, 1]],  [[1, 2, 2, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 4, -5, 0, 5, -4, 1]],  [[-1, -1, 1], [-1, 3, -3, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 6, -4, 1]],  [[1, 2, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 7, -8, 7, -4, 1]],  [[1, 2, 1, -1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 0, 1], [1, -3, 3, -1, -1, 3, -3, 1]],  [[1, 2, 1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 7, -8, 7, -4, 1]],  [[1, 2, 1, -1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 7, -8, 7, -4, 1]],  [[1, 2, 1, -1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, -1, -1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -3, -4, -2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 0, 0, 1, -1], [1, -4, 8, -12, 14, -12, 8, -4, 1]],  [[1, 2, 1, -2, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, 0, -1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -3, -4, -2, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 6, -4, 1]],  [[1, 2, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -3, 1]],  [[-1, -3, -4, -3, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -3, 1]],  [[-1, -3, -4, -3, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, 1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -3, -4, -2, 2, 3, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 0, 1], [1, -3, 3, -1, -1, 3, -3, 1]],  [[1, 2, 1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 7, -8, 7, -4, 1]],  [[1, 2, 1, -1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, 0, 0, -1, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[-1, -3, -4, -3, -1, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -3, 1]],  [[-1, -3, -4, -3, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 0, 0, 1, -1], [1, -3, 4, -4, 2, 2, -4, 4, -3, 1]],  [[1, 2, 1, -2, -2, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -2, -2, 0, -2, -1], [-1, 2, -2, 2, 0, -2, 2, -2, 1]],  [[-1, -3, -4, -2, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, -1, -1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -3, -4, -2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, 1, 1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -3, -4, -2, 2, 4, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, 1, -1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -3, -4, -2, 2, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 0, -2, 3, -1], [1, -3, 4, -4, 2, 2, -4, 4, -3, 1]],  [[1, 2, 1, -2, -4, 3], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, 1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -3, -4, -2, 2, 3, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -2, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 6, -4, 1]],  [[1, 2, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 7, -8, 7, -4, 1]],  [[1, 2, 1, -1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -3, 1]],  [[-1, -3, -4, -3, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -3, 1]],  [[-1, -3, -4, -3, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -3, 1]],  [[-1, -3, -4, -3, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, -1, 0, -1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -3, 1]],  [[-1, -3, -4, -3, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 0, -1, 2, -1], [1, -3, 4, -4, 2, 2, -4, 4, -3, 1]],  [[1, 2, 1, -2, -3, 2], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, 1, -1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -3, -4, -2, 2, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, -1, -1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -3, -4, -2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, 0, -1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -3, -4, -2, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, 0, -1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -3, -4, -2, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, 1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -3, -4, -2, 2, 3, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 2, 3, 2, 1], [1, -2, 3, -4, 3, -2, 1]],  [[1, 4, 8, 10, 8, 4, 1], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 2, 3, 2, 1], [1, -2, 3, -4, 3, -2, 1]],  [[1, 4, 8, 10, 8, 4, 1], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, 0, -1], [-1, 3, -5, 7, -7, 5, -3, 1]],  [[-1, -3, -4, -2, 1, 1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 0, 0, 1, -1], [1, -4, 8, -12, 14, -12, 8, -4, 1]],  [[1, 2, 1, -2, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 0, 0, 2, -1, 1], [1, -3, 4, -4, 2, 2, -4, 4, -3, 1]],  [[1, 2, 1, -2, -2, 2], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -2, -2, 0, -2, -1], [-1, 2, -2, 2, 0, -2, 2, -2, 1]],  [[-1, -3, -4, -2, 2], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, -2, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -2, -2, 0, 2, -1], [-1, 2, -2, 2, 0, -2, 2, -2, 1]],  [[-1, -3, -4, -2, 2, 4], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -2, 1]],  [[1], [1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 2, 3, 2, 5, 1, 9, 1, 5, 2, 3, 2, 1], [1, -2, 3, -4, 5, -6, 7, -8, 7, -6, 5, -4, 3, -2, 1]],  [[1, 4, 8, 10, 8, 6], [1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 7, -8, 7, -4, 1]],  [[-1, -1, 0, 1], [-1, 3, -3, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -3, 1]],  [[1, 2, 2, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[1, 2, 2, 1, 0, -1, -1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 6, -4, 1]],  [[-1, -1], [-1, 3, -3, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 7, -8, 7, -4, 1]],  [[-1, -1, 0, 1], [-1, 3, -3, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -3, 1]],  [[1, 2, 2, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -3, 1]],  [[1, 2, 2, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1], [1, -4, 7, -8, 7, -4, 1]],  [[-1, -1, 0, 1], [-1, 3, -3, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, 0, 0, -1, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[1, 2, 2, 1, 0, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1, 0, 0, -1, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[1, 2, 2, 1, 0, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -3, 1]],  [[1, 2, 2, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -1, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[1, 2, 2, 1, 0, -1, -1, -1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 2, 3, 3, 3, 2, 1], [1, -2, 2, -2, 2, -2, 2, -2, 1]],  [[-1, -3, -5, -6, -6, -5, -3, -1], [-1, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[1], [1, -4, 6, -4, 1]] ]
],

[
   [ [[-1], [-1, 5, -10, 10, -5, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1], [-1, 5, -10, 10, -5, 1]],  [[1, 1], [1, -4, 6, -4, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 5, -10, 10, -5, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -4, 7, -8, 7, -4, 1]],  [[-1, -2, -2, -1], [-1, 3, -3, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 5, -10, 10, -5, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -4, 7, -8, 7, -4, 1]],  [[-1, -2, -2, -1], [-1, 3, -3, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 5, -10, 10, -5, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[1, 1, 1], [1, -4, 7, -8, 7, -4, 1]],  [[-1, -2, -2, -1], [-1, 3, -3, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 5, -10, 10, -5, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -2, -3, -3, -3, -2, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[1, 3, 5, 6, 6, 5, 3, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 5, -10, 10, -5, 1]] ]
],

[
   [ [[-1], [-1, 1]],  [[-1], [-1, 0, 0, 0, 0, 0, 0, 0, 1]],  [[1], [1]] ],
   [ [[0], [1]],  [[-1, -2, -3, -3, -3, -2, -1], [-1, 3, -4, 4, -4, 4, -4, 4, -3, 1]],  [[1, 3, 5, 6, 6, 5, 3, 1], [1, -2, 1]] ],
   [ [[0], [1]],  [[0], [1]],  [[-1], [-1, 5, -10, 10, -5, 1]] ]
],

[
   [ [[1], [1, -6, 15, -20, 15, -6, 1]] ]
]
]
;