Frank Lübeck   

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Elementary Divisors for Partitions of n = 28

PartitionSpecht degreeelementary divisors
(23,122)2898[221*310*54*73*112*13*17*19] [221*310*54*73*112*132*17*19]26 [221*310*56*73*112*132*17*19]297 [222*310*56*73*112*132*17*19]25 [222*311*56*73*112*132*17*19] [224*311*56*73*112*132*17*19]2548 
(3,2,123)5824[219*39*54*73*112*13*17*19*23]349 [219*312*54*73*112*13*17*19*23]2 [219*312*56*73*112*13*17*19*23]2548 [219*313*56*73*112*13*17*19*23]2925 
(25,2,1)5824[1]2925 [3]2548 [3*52]2 [34*52]349 
(25,3)2898[1]2548 [22] [22*3]25 [23*3]297 [23*3*52]26 [23*3*52*13] 

Known Jantzen Filtrations

PartitionPrime Jantzen Filtration
(2,126)17 [D(211,16)]1
(2,126)19 [D(29,110)]1
(2,126)23 [D(25,118)]1
(22,124)17 [D(210,18)]1
(22,124)19 [D(28,112)]1
(22,124)23 [D(24,120)]1
(23,122)17 [D(29,110)]1
(23,122)19 [D(27,114)]1
(3,125)17 [D(3,29,17)]1
(3,125)19 [D(3,27,111)]1
(3,125)23 [D(3,23,119)]1
(3,2,123)17 [D(3,28,19)]1
(3,2,123)19 [D(3,26,113)]1
(3,2,123)23 [D(3,22,121)]1
(4,124)17 [D(4,28,18)]1
(4,124)19 [D(4,26,112)]1
(4,124)23 [D(4,22,120)]1

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