Frank Lübeck   

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Elementary Divisors for Partitions of n = 25

PartitionSpecht degreeelementary divisors
(23,119)2000[218*39*53*72*11*13*17*19] [218*39*53*72*11*13*17*19*23]23 [218*39*53*72*112*13*17*19*23]250 [218*310*53*72*112*13*17*19*23] [218*310*53*73*112*13*17*19*23]1725 
(24,117)10350[220*38*53*72*11*13*17] [220*38*53*72*112*13*17]23 [220*38*53*73*112*13*17]250 [221*38*53*73*112*13*17] [221*38*54*73*112*13*17]1725 [221*38*54*73*112*13*17*19]8350 
(3,2,120)4025[218*38*54*72*11*13*17*19]274 [220*39*54*72*11*13*17*19] [222*39*54*72*11*13*17*19] [222*39*54*72*112*13*17*19]1725 [222*310*54*72*112*13*17*19]2024 
(21,4)10350[1]8350 [19]1725 [5*19] [2*5*19]250 [2*5*7*19]23 [2*5*7*11*19] 
(22,2,1)4025[1]2024 [3]1725 [3*11] [22*3*11] [24*32*11]274 
(22,3)2000[1]1725 [7] [3*7]250 [3*7*11]23 [3*7*11*23] 

Known Jantzen Filtrations

PartitionPrime Jantzen Filtration
(2,123)13 [D(212,1)]1
(2,123)17 [D(28,19)]1
(2,123)19 [D(26,113)]1
(2,123)23 [D(22,121)]1
(22,121)13 [D(211,13)]1
(22,121)17 [D(27,111)]1
(22,121)19 [D(25,115)]1
(22,121)23 [D(22,121)]0 +[D(32,119)]1
(23,119)13 [D(210,15)]1
(23,119)17 [D(26,113)]1
(23,119)19 [D(24,117)]1
(23,119)23 [D(23,119)]0 +[D(3,22,118)]1
(3,122)13 [D(3,210,12)]1
(3,122)17 [D(3,26,110)]1
(3,122)19 [D(3,24,114)]1
(3,2,120)13 [D(3,29,14)]1
(3,2,120)17 [D(3,25,112)]1
(3,2,120)19 [D(3,23,116)]1
(4,121)13 [D(4,29,13)]1
(4,121)17 [D(4,25,111)]1
(4,121)19 [D(4,23,115)]1
(22,3)23 [D(22,3)]0 +[D(25)]1
(23,2)23 [D(23,2)]0 +[D(24,1)]1

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