Frank Lübeck   

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Elementary Divisors for Partitions of n = 30

PartitionSpecht degreeelementary divisors
(23,124)3625[224*311*54*73*112*13*17*19*23] [225*311*54*74*112*13*17*19*23]27 [225*312*54*74*112*13*17*19*23] [225*314*54*74*112*13*17*19*23]348 [226*314*54*74*112*13*17*19*23]28 [226*314*54*74*112*132*17*19*23]3220 
(3,2,125)7280[222*310*56*73*112*13*17*19*23]28 [222*311*56*73*112*13*17*19*23]376 [222*311*56*73*112*13*17*19*23*29]2 [222*313*56*73*112*13*17*19*23*29]3598 [222*314*56*73*112*13*17*19*23*29]3276 
(27,2,1)7280[1]3276 [3]3598 [33]2 [33*29]376 [34*29]28 
(27,3)3625[1]3220 [13]28 [2*13]348 [2*32*13] [2*33*13]27 [22*33*7*13] 

Known Jantzen Filtrations

PartitionPrime Jantzen Filtration
(2,128)17 [D(213,14)]1
(2,128)19 [D(211,18)]1
(2,128)23 [D(27,116)]1
(22,126)17 [D(212,16)]1
(22,126)19 [D(210,110)]1
(22,126)23 [D(26,118)]1
(22,126)29 [D(22,126)]0 +[D(3,2,125)]1
(23,124)17 [D(211,18)]1
(23,124)19 [D(29,112)]1
(23,124)23 [D(25,120)]1
(3,127)17 [D(3,211,15)]1
(3,127)19 [D(3,29,19)]1
(3,127)23 [D(3,25,117)]1
(28,2)29 [D(28,2)]0 +[D(30)]1

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