Generated by sphericalReport.pl Tue Feb  1 09:30:48 2005
Data from D4/psd_barbasch
Barbasch algorithm, point from ptlist (Stembridge)
List of positive coroots from D4/data
Dynkin Diagram:     
    2
    |
    |
4---3---1

Number of facets of each dimension: 4:2 3:4 2:5 1:5 0:9 
Total number of facets: 25

[number(line number)] dimension (standard){weight}<facet>
[1(33)] 4 (0,0,0,0) {0,0,0,0} <-,-,-,-,-,-,-,-,-,-,-,->
[2(30)] 4 (7/8,1/4,1/4,0) {1/4,1/4,0,5/8} <-,-,-,-,-,-,-,-,-,-,+,+>
[3(29)] 3 (3/4,1/2,1/2,0) {1/2,1/2,0,1/4} <-,-,-,-,-,-,-,1,-,-,+,+>
[4(26)] 3 (7/8,3/8,3/8,1/8) {1/2,1/4,0,1/2} <-,-,-,-,-,-,-,-,1,-,+,+>
[5(31)] 3 (3/4,1/2,1/4,0) {1/4,1/4,1/4,1/4} <-,-,-,-,-,-,-,-,-,-,1,+>
[6(32)] 3 (1/2,1/2,0,0) {0,0,1/2,0} <-,-,-,-,-,-,-,-,-,-,-,1>
[7(25)] 2 (3/4,1/2,1/2,1/4) {3/4,1/4,0,1/4} <-,-,-,-,-,-,-,1,1,-,+,+>
[8(9)] 2 (3/4,3/4,1/4,0) {1/4,1/4,1/2,0} <-,-,-,-,-,-,-,1,-,-,1,+>
[9(24)] 2 (1,1/4,1/4,0) {1/4,1/4,0,3/4} <-,-,-,-,-,-,-,-,1,1,+,+>
[10(17)] 2 (7/8,3/8,1/8,1/8) {1/4,0,1/4,1/2} <-,-,-,-,-,-,-,-,1,-,1,+>
[11(14)] 2 (3/4,1/4,1/4,0) {1/4,1/4,0,1/2} <-,-,-,-,-,-,-,-,-,-,1,1>
[12(21)] 1 (13/8,11/8,5/8,3/8) {1,1/4,3/4,1/4} <1,-,-,-,+,1,1,+,+,+,+,+>
[13(20)] 1 (2,1,1/4,0) {1/4,1/4,3/4,1} <-,-,-,1,1,1,+,+,+,+,+,+>
[14(23)] 1 (1,3/4,1/4,0) {1/4,1/4,1/2,1/4} <-,-,-,-,-,-,-,1,1,1,+,+>
[15(3)] 1 (1/2,1/2,1/2,1/4) {3/4,1/4,0,0} <-,-,-,-,-,-,-,1,-,-,1,1>
[16(11)] 1 (7/8,1/8,1/8,1/8) {1/4,0,0,3/4} <-,-,-,-,-,-,-,-,1,-,1,1>
[17(19)] 0 (3,2,1,0) {1,1,1,1} <1,1,1,1,+,+,+,+,+,+,+,+>
[18(13)] 0 (2,1,1,0) {1,1,0,1} <1,1,-,1,1,1,1,+,+,+,+,+>
[19(5)] 0 (3/2,3/2,1/2,1/2) {1,0,1,0} <1,-,1,-,+,1,1,+,+,1,+,+>
[20(1)] 0 (1/2,1/2,1/2,1/2) {1,0,0,0} <1,-,-,-,1,-,-,1,1,-,1,1>
[21(15)] 0 (2,1,0,0) {0,0,1,1} <-,-,1,1,1,1,+,1,+,+,+,+>
[22(4)] 0 (1,1,0,0) {0,0,1,0} <-,-,1,-,1,1,1,1,1,1,1,+>
[23(10)] 0 (1,0,0,0) {0,0,0,1} <-,-,-,1,-,-,1,-,1,1,1,1>
[24(6)] 0 (7/8,7/8,1/8,1/8) {1/4,0,3/4,0} <-,-,-,-,1,-,-,1,1,-,1,+>
[25(16)] 0 (1,1/4,0,0) {0,0,1/4,3/4} <-,-,-,-,-,-,1,-,1,1,1,+>

Facet Closures [Facet number/dimension]
 Maximal Facets:
 [1/4]:[1/4][6/3][11/2][15/1][16/1][20/0][23/0]
 [2/4]:[2/4][3/3][4/3][5/3][7/2][8/2][9/2][10/2][11/2][14/1][15/1][16/1][20/0][22/0][23/0][24/0][25/0]
 [12/1]:[12/1][18/0][19/0]
 [13/1]:[13/1][18/0][21/0]
 [17/0]:[17/0]
 
 Other Facets:
 [3/3]:[3/3][7/2][8/2][14/1][15/1][20/0][22/0][24/0]
 [4/3]:[4/3][7/2][9/2][10/2][14/1][16/1][20/0][22/0][23/0][24/0][25/0]
 [5/3]:[5/3][8/2][10/2][11/2][15/1][16/1][20/0][22/0][23/0][24/0][25/0]
 [6/3]:[6/3][11/2][15/1][16/1][20/0][23/0]
 [7/2]:[7/2][14/1][20/0][22/0][24/0]
 [8/2]:[8/2][15/1][20/0][22/0][24/0]
 [9/2]:[9/2][14/1][22/0][23/0][25/0]
 [10/2]:[10/2][16/1][20/0][22/0][23/0][24/0][25/0]
 [11/2]:[11/2][15/1][16/1][20/0][23/0]
 [14/1]:[14/1][22/0]
 [15/1]:[15/1][20/0]
 [16/1]:[16/1][20/0][23/0]
 [18/0]:[18/0]
 [19/0]:[19/0]
 [20/0]:[20/0]
 [21/0]:[21/0]
 [22/0]:[22/0]
 [23/0]:[23/0]
 [24/0]:[20/0][22/0][24/0]
 [25/0]:[22/0][23/0][25/0]
 

Closure Matrix:
+,0,0,0,0,+,0,0,0,0,+,0,0,0,+,+,0,0,0,+,0,0,+,0,0
0,+,+,+,+,0,+,+,+,+,+,0,0,+,+,+,0,0,0,+,0,+,+,+,+
0,-,+,0,0,0,+,+,0,0,0,0,0,+,+,0,0,0,0,+,0,+,0,+,0
0,-,0,+,0,0,+,0,+,+,0,0,0,+,0,+,0,0,0,+,0,+,+,+,+
0,-,0,0,+,0,0,+,0,+,+,0,0,0,+,+,0,0,0,+,0,+,+,+,+
-,0,0,0,0,+,0,0,0,0,+,0,0,0,+,+,0,0,0,+,0,0,+,0,0
0,-,-,-,0,0,+,0,0,0,0,0,0,+,0,0,0,0,0,+,0,+,0,+,0
0,-,-,0,-,0,0,+,0,0,0,0,0,0,+,0,0,0,0,+,0,+,0,+,0
0,-,0,-,0,0,0,0,+,0,0,0,0,+,0,0,0,0,0,0,0,+,+,0,+
0,-,0,-,-,0,0,0,0,+,0,0,0,0,0,+,0,0,0,+,0,+,+,+,+
-,-,0,0,-,-,0,0,0,0,+,0,0,0,+,+,0,0,0,+,0,0,+,0,0
0,0,0,0,0,0,0,0,0,0,0,+,0,0,0,0,0,+,+,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,+,0,0,0,0,+,0,0,+,0,0,0,0
0,-,-,-,0,0,-,0,-,0,0,0,0,+,0,0,0,0,0,0,0,+,0,0,0
-,-,-,0,-,-,0,-,0,0,-,0,0,0,+,0,0,0,0,+,0,0,0,0,0
-,-,0,-,-,-,0,0,0,-,-,0,0,0,0,+,0,0,0,+,0,0,+,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,+,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,-,-,0,0,0,0,+,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,-,0,0,0,0,0,0,+,0,0,0,0,0,0
-,-,-,-,-,-,-,-,0,-,-,0,0,0,-,-,0,0,0,+,0,0,0,-,0
0,0,0,0,0,0,0,0,0,0,0,0,-,0,0,0,0,0,0,0,+,0,0,0,0
0,-,-,-,-,0,-,-,-,-,0,0,0,-,0,0,0,0,0,0,0,+,0,-,-
-,-,0,-,-,-,0,0,-,-,-,0,0,0,0,-,0,0,0,0,0,0,+,0,-
0,-,-,-,-,0,-,-,0,-,0,0,0,0,0,0,0,0,0,+,0,+,0,+,0
0,-,0,-,-,0,0,0,-,-,0,0,0,0,0,0,0,0,0,0,0,+,+,0,+