Frank Lübeck   

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Elementary Divisors for Partitions of n = 29

PartitionSpecht degreeelementary divisors
(23,123)3248[221*311*54*73*112*13*17*19*23] [221*313*54*73*112*13*17*19*23]27 [221*313*54*73*112*132*17*19*23]349 [221*313*56*73*112*132*17*19*23]2871 
(3,2,124)6525[222*310*54*73*112*13*17*19*23]376 [223*310*54*74*112*13*17*19*23] [225*310*54*74*112*13*17*19*23] [225*310*54*74*112*132*17*19*23]2871 [225*311*54*74*112*132*17*19*23]3276 
(26,2,1)6525[1]3276 [3]2871 [3*13] [22*3*13] [23*3*7*13]376 
(26,3)3248[1]2871 [52]349 [52*13]27 [32*52*13] 

Known Jantzen Filtrations

PartitionPrime Jantzen Filtration
(2,127)17 [D(212,15)]1
(2,127)19 [D(210,19)]1
(2,127)23 [D(26,117)]1
(2,127)29 [D(2,127)]0 +[D(3,126)]1
(22,125)17 [D(211,17)]1
(22,125)19 [D(29,111)]1
(22,125)23 [D(25,119)]1
(23,123)17 [D(210,19)]1
(23,123)19 [D(28,113)]1
(23,123)23 [D(24,121)]1
(3,126)17 [D(3,210,16)]1
(3,126)19 [D(3,28,110)]1
(3,126)23 [D(3,24,118)]1
(3,126)29 [D(3,126)]0 +[D(4,125)]1
(27,12)29 [D(27,12)]0 +[D(28,1)]1
(28,1)29 [D(28,1)]0 +[D(29)]1

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