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Elementary Divisors for Partitions of n = 21

Partition	Specht degree	elementary divisors
(23,115)	1120	[213*37*53*72*11*13] [213*37*53*72*11*13*19]18 [213*38*53*72*11*13*19] [213*39*53*72*11*13*19]169 [213*39*53*72*11*13*17*19]931
(24,113)	4655	[215*37*52*7*11*13] [215*38*52*7*11*13]19 [215*38*52*7*11*13*17]168 [216*38*52*7*11*13*17] [218*38*52*7*11*13*17]912 [218*39*52*7*11*13*17]19 [218*39*53*7*11*13*17]3535
(25,111)	14364	[214*36*53*7*11] [214*36*53*7*11*17]19 [216*36*53*7*11*17]168 [216*36*54*7*11*17]932 [216*36*54*72*11*17]3535 [216*36*54*72*11*13*17]9709
(3,2,116)	2261	[215*36*53*72*11*13]19 [215*37*53*72*11*13]169 [216*37*54*72*11*13] [218*37*54*72*11*13] [218*38*54*72*11*13]1102 [218*39*54*72*11*13]969
(32,115)	9520	[212*36*53*72*11*13]169 [212*36*53*72*11*13*19]933 [212*37*53*72*11*13*19]969 [212*38*53*72*11*13*19] [213*38*53*72*11*13*19]3572 [213*39*53*72*11*13*19]3876
(16,5)	14364	[1]9709 [13]3535 [7*13]932 [5*7*13]168 [22*5*7*13]19 [22*5*7*13*17]
(17,22)	9520	[2]3876 [2*3]3572 [22*3] [22*32]969 [22*33]933 [22*33*19]169
(17,4)	4655	[1]3535 [5]19 [3*5]912 [22*3*5] [23*3*5]168 [23*3*5*17]19 [23*32*5*17]
(18,2,1)	2261	[1]969 [3]1102 [32] [22*32] [23*32*5]169 [23*33*5]19
(18,3)	1120	[1]931 [17]169 [3*17] [32*17]18 [32*17*19]

Known Jantzen Filtrations

Partition	Prime	Jantzen Filtration
(2,119)	11	[D(210,1)]1
(2,119)	13	[D(28,15)]1
(2,119)	17	[D(24,113)]1
(2,119)	19	[D(22,117)]1
(22,117)	11	[D(29,13)]1
(22,117)	13	[D(27,17)]1
(22,117)	17	[D(23,115)]1
(22,117)	19	[D(22,117)]0 +[D(32,115)]1
(23,115)	11	[D(28,15)]1
(23,115)	13	[D(26,19)]1
(23,115)	17	[D(23,115)]0 +[D(33,112)]1
(23,115)	19	[D(23,115)]0 +[D(3,22,114)]1
(24,113)	11	[D(27,17)]1
(24,113)	13	[D(25,111)]1
(24,113)	17	[D(24,113)]0 +[D(32,22,111)]1
(3,118)	11	[D(3,28,12)]1
(3,118)	13	[D(3,26,16)]1
(3,118)	17	[D(3,22,114)]1
(3,2,116)	11	[D(3,27,14)]1
(3,2,116)	13	[D(3,25,18)]1
(4,117)	11	[D(4,27,13)]1
(4,117)	13	[D(4,25,17)]1
(4,117)	17	[D(4,2,115)]1
(17,4)	17	[D(17,4)]0 +[D(20,1)]1
(18,3)	17	[D(18,3)]0 +[D(19,2)]1
(18,3)	19	[D(18,3)]0 +[D(21)]1
(19,2)	19	[D(19,2)]0 +[D(20,1)]1

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