Frank Lübeck   

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Elementary Divisors for Partitions of n = 26

PartitionSpecht degreeelementary divisors
(23,120)2275[220*310*54*72*11*13*17*19] [222*310*54*72*11*13*17*19]24 [222*310*54*72*11*13*17*19*23]250 [223*310*54*72*11*13*17*19*23]24 [223*310*54*72*112*13*17*19*23]1976 
(3,2,121)4576[218*39*54*73*11*13*17*19]298 [218*39*56*73*11*13*17*19]2 [218*39*56*73*11*13*17*19*23]1976 [218*310*56*73*11*13*17*19*23]2300 
(23,2,1)4576[1]2300 [3]1976 [3*23]2 [3*52*23]298 
(23,3)2275[1]1976 [11]24 [2*11]250 [2*11*23]24 [23*11*23] 

Known Jantzen Filtrations

PartitionPrime Jantzen Filtration
(2,124)17 [D(29,18)]1
(2,124)19 [D(27,112)]1
(2,124)23 [D(23,120)]1
(22,122)17 [D(28,110)]1
(22,122)19 [D(26,114)]1
(23,120)17 [D(27,112)]1
(23,120)19 [D(25,116)]1
(23,120)23 [D(23,120)]0 +[D(32,2,118)]1
(3,123)17 [D(3,27,19)]1
(3,123)19 [D(3,25,113)]1
(3,123)23 [D(3,2,121)]1
(3,2,121)17 [D(3,26,111)]1
(3,2,121)19 [D(3,24,115)]1
(3,2,121)23 [D(3,2,121)]0 +[D(32,120)]1
(4,122)17 [D(4,26,110)]1
(4,122)19 [D(4,24,114)]1
(23,2,1)23 [D(23,2,1)]0 +[D(24,12)]1
(23,3)23 [D(23,3)]0 +[D(25,1)]1

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