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Elementary Divisors for Partitions of n = 22

Partition	Specht degree	elementary divisors
(23,116)	1309	[217*37*53*72*11*13] [218*37*54*72*11*13]20 [218*37*54*72*11*13*19]168 [219*37*54*72*11*13*19]19 [219*38*54*72*11*13*19] [219*39*54*72*11*13*19]1100
(24,114)	5775	[215*37*52*72*11*13] [215*37*52*72*11*13*19]20 [215*38*52*72*11*13*19]188 [215*38*52*72*11*13*17*19]911 [216*38*52*72*11*13*17*19]188 [217*38*52*72*11*13*17*19] [219*38*52*72*11*13*17*19]4466
(3,2,117)	2640	[215*36*53*72*11*13*17]208 [215*37*53*73*11*13*17]2 [215*37*53*73*11*13*17*19]1100 [215*38*53*73*11*13*17*19]1330
(18,4)	5775	[1]4466 [22] [23]188 [24]911 [24*17]188 [24*3*17]20 [24*3*17*19]
(19,2,1)	2640	[1]1330 [3]1100 [3*19]2 [32*7*19]208
(19,3)	1309	[1]1100 [3] [32]19 [2*32]168 [2*32*19]20 [22*32*5*19]

Known Jantzen Filtrations

Partition	Prime	Jantzen Filtration
(2,120)	13	[D(29,14)]1
(2,120)	17	[D(25,112)]1
(2,120)	19	[D(23,116)]1
(22,118)	13	[D(28,16)]1
(22,118)	17	[D(24,114)]1
(23,116)	13	[D(27,18)]1
(23,116)	19	[D(23,116)]0 +[D(32,2,114)]1
(24,114)	13	[D(26,110)]1
(24,114)	17	[D(24,114)]0 +[D(33,2,111)]1
(24,114)	19	[D(24,114)]0 +[D(3,23,113)]1
(3,119)	13	[D(3,27,15)]1
(3,119)	17	[D(3,23,113)]1
(3,119)	19	[D(3,2,117)]1
(3,2,117)	13	[D(3,26,17)]1
(3,2,117)	17	[D(3,22,115)]1
(3,2,117)	19	[D(3,2,117)]0 +[D(32,116)]1
(4,118)	13	[D(4,26,16)]1
(4,118)	17	[D(4,22,114)]1
(18,4)	17	[D(18,4)]0 +[D(20,2)]1
(18,4)	19	[D(18,4)]0 +[D(22)]1
(19,2,1)	19	[D(19,2,1)]0 +[D(20,12)]1
(19,3)	19	[D(19,3)]0 +[D(21,1)]1

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