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Elementary Divisors for Partitions of n = 19

Partition	Specht degree	elementary divisors
(23,113)	798	[212*36*52*7*11*13] [212*36*52*7*11*13*17]17 [215*36*52*7*11*13*17]133 [215*37*52*7*11*13*17] [215*37*53*7*11*13*17]646
(24,111)	2907	[214*36*52*7*11] [216*36*52*7*11]17 [216*36*53*7*11]134 [216*36*53*72*11]646 [216*36*53*72*11*13]2109
(25,19)	7752	[212*36*53*7]18 [212*36*53*72]134 [212*36*53*72*13]495 [212*37*53*72*13]133 [213*37*53*72*13]2127 [213*37*53*72*11*13]4845
(3,2,114)	1615	[211*35*52*72*11*13]151 [211*37*52*72*11*13] [213*37*52*72*11*13] [216*37*52*72*11*13]646 [216*38*52*72*11*13]816
(3,22,112)	8892	[212*35*52*7*11]153 [212*36*53*7*11]644 [212*36*53*7*11*17]818 [212*36*53*72*11*17]1293 [213*36*53*72*11*17]1462 [214*36*53*72*11*17]4522
(32,113)	5985	[211*35*52*7*11*13]134 [211*35*52*7*11*13*17]1328 [214*35*52*7*11*13*17] [215*35*52*7*11*13*17]1462 [215*36*52*7*11*13*17]3060
(4,2,113)	9044	[210*35*52*7*11*13]816 [210*36*53*7*11*13]646 [211*36*53*7*11*13]2 [211*38*53*7*11*13]4520 [212*38*53*7*11*13]2 [213*38*53*7*11*13]3058
(14,5)	7752	[1]4845 [11]2127 [2*11]133 [2*3*11]495 [2*3*11*13]134 [2*3*7*11*13]18
(15,2,12)	9044	[2]3058 [22]2 [23]4520 [23*32]2 [24*32]646 [24*33*5]816
(15,22)	5985	[2]3060 [2*3]1462 [22*3] [25*3]1328 [25*3*17]134
(15,3,1)	8892	[1]4522 [2]1462 [22]1293 [22*7]818 [22*7*17]644 [22*3*5*7*17]153
(15,4)	2907	[1]2109 [13]646 [7*13]134 [5*7*13]17 [22*5*7*13]
(16,2,1)	1615	[1]816 [3]646 [23*3] [25*3] [25*33]151
(16,3)	798	[1]646 [5] [3*5]133 [23*3*5]17 [23*3*5*17]

Known Jantzen Filtrations

Partition	Prime	Jantzen Filtration
(2,117)	5	[D(52,42,1)]3
(2,117)	11	[D(28,13)]1
(2,117)	13	[D(26,17)]1
(2,117)	17	[D(22,115)]1
(2,117)	19	[D(2,117)]0 +[D(3,116)]1
(22,115)	5	[D(5,43,12)]3
(22,115)	11	[D(27,15)]1
(22,115)	13	[D(25,19)]1
(22,115)	17	[D(22,115)]0 +[D(32,113)]1
(23,113)	5	[D(5,43,12)]2 +[D(44,13)]3
(23,113)	11	[D(26,17)]1
(23,113)	13	[D(24,111)]1
(23,113)	17	[D(23,113)]0 +[D(3,22,112)]1
(24,111)	5	[D(52,42,1)]2 +[D(43,3,14)]3
(24,111)	11	[D(25,19)]1
(24,111)	13	[D(24,111)]0 +[D(34,17)]1
(3,116)	5	[D(5,43,2)]3
(3,116)	11	[D(3,26,14)]1
(3,116)	13	[D(3,24,18)]1
(3,116)	19	[D(3,116)]0 +[D(4,115)]1
(3,2,114)	5	[D(44,2,1)]2
(3,2,114)	11	[D(3,25,16)]1
(3,2,114)	13	[D(3,23,110)]1
(32,113)	5	[D(43,3,22)]2
(32,113)	11	[D(32,23,17)]1
(32,113)	13	[D(32,2,111)]1
(32,113)	17	[D(32,113)]0 +[D(4,3,112)]1
(4,115)	5	[D(44,3)]3
(4,115)	11	[D(4,25,15)]1
(4,115)	13	[D(4,23,19)]1
(4,115)	19	[D(4,115)]0 +[D(5,114)]1
(5,114)	5	[D(5,42,32)]2
(5,114)	11	[D(5,24,16)]1
(5,114)	13	[D(5,22,110)]1
(5,114)	19	[D(5,114)]0 +[D(6,113)]1
(15,14)	19	[D(15,14)]0 +[D(16,13)]1
(15,22)	17	[D(15,22)]0 +[D(17,2)]1
(15,4)	5	[D(15,4)]0 +[D(18,1)]1
(15,4)	13	[D(15,4)]0 +[D(16,3)]1
(16,13)	19	[D(16,13)]0 +[D(17,12)]1
(16,3)	5	[D(16,3)]0 +[D(17,2)]1
(16,3)	17	[D(16,3)]0 +[D(19)]1
(17,12)	19	[D(17,12)]0 +[D(18,1)]1
(17,2)	17	[D(17,2)]0 +[D(18,1)]1
(18,1)	19	[D(18,1)]0 +[D(19)]1

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Last updated: Mon Jul 12 23:23:20 2004 (CET)