Frank Lübeck   

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Elementary Divisors for Partitions of n = 27

PartitionSpecht degreeelementary divisors
(23,121)2574[220*310*54*73*11*13*17*19] [220*310*56*73*11*13*17*19]24 [220*311*56*73*11*13*17*19] [222*311*56*73*11*13*17*19]298 [222*311*56*73*11*13*17*19*23]2250 
(3,2,122)5175[219*39*54*73*112*13*17*19]25 [219*310*54*73*112*13*17*19]298 [219*310*54*73*112*132*17*19] [221*310*54*73*112*132*17*19] [223*310*54*73*112*132*17*19]2550 [223*311*54*73*112*132*17*19]2300 
(24,2,1)5175[1]2300 [3]2550 [22*3] [24*3] [24*3*13]298 [24*32*13]25 
(24,3)2574[1]2250 [23]298 [22*23] [22*3*23]24 [22*3*52*23] 

Known Jantzen Filtrations

PartitionPrime Jantzen Filtration
(2,125)17 [D(210,17)]1
(2,125)19 [D(28,111)]1
(2,125)23 [D(24,119)]1
(22,123)17 [D(29,19)]1
(22,123)19 [D(27,113)]1
(22,123)23 [D(23,121)]1
(23,121)17 [D(28,111)]1
(23,121)19 [D(26,115)]1
(23,121)23 [D(23,121)]0 +[D(33,118)]1
(3,124)17 [D(3,28,18)]1
(3,124)19 [D(3,26,112)]1
(3,124)23 [D(3,22,120)]1
(3,2,122)17 [D(3,27,110)]1
(3,2,122)19 [D(3,25,114)]1
(4,123)17 [D(4,27,19)]1
(4,123)19 [D(4,25,113)]1
(4,123)23 [D(4,2,121)]1
(24,3)23 [D(24,3)]0 +[D(25,2)]1

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