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Elementary Divisors for Partitions of n = 20

Partition	Specht degree	elementary divisors
(23,114)	950	[213*37*52*72*11*13] [213*38*52*72*11*13]18 [213*38*52*72*11*13*17]133 [214*38*52*72*11*13*17]18 [217*38*52*72*11*13*17]780
(24,112)	3705	[214*36*52*7*11] [214*36*52*7*11*17]17 [216*36*52*7*11*17] [217*36*52*7*11*17]132 [217*37*52*7*11*17]19 [217*37*53*7*11*17]629 [218*37*53*7*11*17]151 [218*37*53*72*11*17]2755
(25,110)	10659	[214*36*53*7] [216*36*53*7]17 [216*36*54*7]152 [216*36*54*72]780 [216*36*54*72*13]1957 [217*36*54*72*13]647 [217*37*54*72*13]133 [218*37*54*72*13]6972
(3,2,115)	1920	[211*36*53*72*11*13]169 [211*36*53*72*11*13*19]2 [211*36*53*72*11*13*17*19]780 [211*37*53*72*11*13*17*19]969
(3,22,113)	11305	[212*35*52*7*11*13]18 [214*35*52*7*11*13]153 [215*35*52*7*11*13]778 [215*36*52*7*11*13] [215*37*52*7*11*13] [216*37*52*7*11*13]968 [216*38*52*7*11*13] [216*38*53*7*11*13]1937 [217*38*53*7*11*13]2 [218*38*53*7*11*13]7446
(32,114)	7600	[212*35*52*72*11*13]151 [212*37*52*72*11*13] [213*37*52*72*11*13]1597 [213*37*52*72*11*13*17]1975 [213*38*52*72*11*13*17]3876
(4,2,114)	11475	[211*35*52*72*11*13]152 [213*35*52*72*11*13]817 [215*35*52*72*11*13]782 [215*35*52*72*11*13*19]6664 [216*35*52*72*11*13*19]2 [217*35*52*72*11*13*19]3058
(15,5)	10659	[1]6972 [2]133 [2*3]647 [22*3]1957 [22*3*13]780 [22*3*7*13]152 [22*3*5*7*13]17 [24*3*5*7*13]
(16,2,12)	11475	[2]3058 [22]2 [23]6664 [23*19]782 [25*19]817 [27*19]152
(16,22)	7600	[2]3876 [2*3]1975 [2*3*17]1597 [22*3*17] [22*33*17]151
(16,3,1)	11305	[1]7446 [2]2 [22]1937 [22*5] [22*3*5]968 [23*3*5] [23*32*5] [23*33*5]778 [24*33*5]153 [26*33*5]18
(16,4)	3705	[1]2755 [7]151 [2*7]629 [2*5*7]19 [2*3*5*7]132 [22*3*5*7] [24*3*5*7]17 [24*3*5*7*17]
(17,2,1)	1920	[1]969 [3]780 [3*17]2 [3*17*19]169
(17,3)	950	[1]780 [23]18 [24]133 [24*17]18 [24*3*17]

Known Jantzen Filtrations

Partition	Prime	Jantzen Filtration
(2,118)	5	[D(54)]3 +[D(53,4,1)]4
(2,118)	11	[D(29,12)]1
(2,118)	13	[D(27,16)]1
(2,118)	17	[D(23,114)]1
(22,116)	5	[D(52,42,12)]3
(22,116)	11	[D(28,14)]1
(22,116)	13	[D(26,18)]1
(22,116)	19	[D(22,116)]0 +[D(3,2,115)]1
(23,114)	5	[D(5,43,13)]2
(23,114)	11	[D(27,16)]1
(23,114)	13	[D(25,110)]1
(23,114)	17	[D(23,114)]0 +[D(32,2,112)]1
(24,112)	5	[D(52,42,12)]2 +[D(44,14)]3
(24,112)	11	[D(26,18)]1
(24,112)	17	[D(24,112)]0 +[D(3,23,111)]1
(3,117)	5	[D(53,4,1)]3 +[D(52,42,2)]4
(3,117)	11	[D(3,27,13)]1
(3,117)	13	[D(3,25,17)]1
(3,117)	17	[D(3,2,115)]1
(3,2,115)	5	[D(5,43,2,1)]3
(3,2,115)	11	[D(3,26,15)]1
(3,2,115)	13	[D(3,24,19)]1
(3,2,115)	17	[D(3,2,115)]0 +[D(32,114)]1
(3,2,115)	19	[D(3,2,115)]0 +[D(4,2,114)]1
(4,116)	5	[D(52,42,2)]3 +[D(5,43,3)]4
(4,116)	11	[D(4,26,14)]1
(4,116)	13	[D(4,24,18)]1
(16,4)	5	[D(16,4)]0 +[D(18,2)]1
(16,4)	17	[D(16,4)]0 +[D(20)]1
(17,13)	5	[D(17,13)]0 +[D(18,12)]1
(17,2,1)	17	[D(17,2,1)]0 +[D(18,12)]1
(17,2,1)	19	[D(17,2,1)]0 +[D(18,2)]1
(17,3)	17	[D(17,3)]0 +[D(19,1)]1
(18,12)	5	[D(18,12)]0 +[D(19,1)]1
(18,2)	19	[D(18,2)]0 +[D(20)]1
(19,1)	5	[D(19,1)]0 +[D(20)]1

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