***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 The FindStatCrew * * * * This information is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * ***************************************************************************** ----------------------------------------------------------------------------- Statistic identifier: St000960 ----------------------------------------------------------------------------- Collection: Finite Cartan types ----------------------------------------------------------------------------- Description: The permanent of the Cartan matrix of a finite Cartan type. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(ct): return ct.cartan_matrix().permanent() ----------------------------------------------------------------------------- Statistic values: ['A',1] => 2 ['A',2] => 5 ['B',2] => 6 ['G',2] => 7 ['A',3] => 12 ['B',3] => 14 ['C',3] => 14 ['A',4] => 29 ['B',4] => 34 ['C',4] => 34 ['D',4] => 28 ['F',4] => 33 ['A',5] => 70 ['B',5] => 82 ['C',5] => 82 ['D',5] => 68 ['A',6] => 169 ['B',6] => 198 ['C',6] => 198 ['D',6] => 164 ['E',6] => 165 ['A',7] => 408 ['B',7] => 478 ['C',7] => 478 ['D',7] => 396 ['E',7] => 398 ['A',8] => 985 ['B',8] => 1154 ['C',8] => 1154 ['D',8] => 956 ['E',8] => 961 ['A',9] => 2378 ['B',9] => 2786 ['C',9] => 2786 ['D',9] => 2308 ['A',10] => 5741 ['B',10] => 6726 ['C',10] => 6726 ['D',10] => 5572 ----------------------------------------------------------------------------- Created: Aug 28, 2017 at 16:53 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Aug 28, 2017 at 16:53 by Christian Stump