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Elementary Divisors for Partitions of n = 23

Partition	Specht degree	elementary divisors
(23,117)	1518	[217*38*53*72*11*13*17] [217*38*53*73*11*13*17]21 [218*38*54*73*11*13*17]208 [218*38*54*73*11*13*17*19]1288
(24,115)	7084	[217*37*53*72*11*13] [217*37*54*72*11*13]21 [217*37*54*72*11*13*19]186 [217*38*54*72*11*13*19]22 [217*39*54*72*11*13*19]1288 [217*39*54*72*11*13*17*19]5566
(3,2,118)	3059	[216*38*53*72*11*13*17]229 [216*38*53*72*112*13*17] [218*38*53*72*112*13*17] [219*38*54*72*112*13*17]1288 [219*39*54*72*112*13*17]1540
(19,4)	7084	[1]5566 [17]1288 [3*17]22 [32*17]186 [32*17*19]21 [32*5*17*19]
(20,2,1)	3059	[1]1540 [3]1288 [2*3*5] [23*3*5] [23*3*5*11]229
(20,3)	1518	[1]1288 [19]208 [2*5*19]21 [2*5*7*19]

Known Jantzen Filtrations

Partition	Prime	Jantzen Filtration
(2,121)	13	[D(210,13)]1
(2,121)	17	[D(26,111)]1
(2,121)	19	[D(24,115)]1
(2,121)	23	[D(2,121)]0 +[D(3,120)]1
(22,119)	13	[D(29,15)]1
(22,119)	17	[D(25,113)]1
(22,119)	19	[D(23,117)]1
(23,117)	13	[D(28,17)]1
(23,117)	17	[D(24,115)]1
(23,117)	19	[D(23,117)]0 +[D(33,114)]1
(3,120)	13	[D(3,28,14)]1
(3,120)	17	[D(3,24,112)]1
(3,120)	19	[D(3,22,116)]1
(3,120)	23	[D(3,120)]0 +[D(4,119)]1
(3,2,118)	13	[D(3,27,16)]1
(3,2,118)	17	[D(3,23,114)]1
(4,119)	13	[D(4,27,15)]1
(4,119)	17	[D(4,23,113)]1
(4,119)	19	[D(4,2,117)]1
(4,119)	23	[D(4,119)]0 +[D(5,118)]1
(20,13)	23	[D(20,13)]0 +[D(21,12)]1
(20,3)	19	[D(20,3)]0 +[D(21,2)]1
(21,12)	23	[D(21,12)]0 +[D(22,1)]1
(22,1)	23	[D(22,1)]0 +[D(23)]1

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