Frank Lübeck   

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Elementary Divisors for Partitions of n = 24

PartitionSpecht degreeelementary divisors
(23,118)1748[218*39*53*72*11*13*17] [218*39*53*72*112*13*17]21 [218*310*53*72*112*13*17] [218*310*53*73*112*13*17]207 [219*310*53*73*112*13*17]22 [220*310*54*73*112*13*17]1496 
(24,116)8602[219*38*53*72*11*13] [219*38*53*73*11*13]21 [220*38*53*73*11*13] [220*38*54*73*11*13]229 [220*38*54*73*11*13*19]1266 [221*38*54*73*11*13*19]208 [221*39*54*73*11*13*19]22 [221*310*54*73*11*13*19]6854 
(3,2,119)3520[216*38*53*72*11*13*17*19]22 [216*39*53*72*11*13*17*19]229 [216*39*53*72*11*13*17*19*23]2 [216*39*53*73*11*13*17*19*23]1727 [216*310*53*73*11*13*17*19*23]1540 
(20,4)8602[1]6854 [3]22 [32]208 [2*32]1266 [2*32*19]229 [2*32*5*19] [22*32*5*19]21 [22*32*5*7*19] 
(21,2,1)3520[1]1540 [3]1727 [3*7]2 [3*7*23]229 [32*7*23]22 
(21,3)1748[1]1496 [2*5]22 [22*5]207 [22*5*7] [22*3*5*7]21 [22*3*5*7*11] 

Known Jantzen Filtrations

PartitionPrime Jantzen Filtration
(2,122)13 [D(211,12)]1
(2,122)17 [D(27,110)]1
(2,122)19 [D(25,114)]1
(22,120)13 [D(210,14)]1
(22,120)17 [D(26,112)]1
(22,120)19 [D(24,116)]1
(22,120)23 [D(22,120)]0 +[D(3,2,119)]1
(23,118)13 [D(29,16)]1
(23,118)17 [D(25,114)]1
(3,121)13 [D(3,29,13)]1
(3,121)17 [D(3,25,111)]1
(3,121)19 [D(3,23,115)]1
(3,2,119)13 [D(3,28,15)]1
(3,2,119)17 [D(3,24,113)]1
(3,2,119)19 [D(3,22,117)]1
(3,2,119)23 [D(3,2,119)]0 +[D(4,2,118)]1
(4,120)13 [D(4,28,14)]1
(4,120)17 [D(4,24,112)]1
(4,120)19 [D(4,22,116)]1
(21,2,1)23 [D(21,2,1)]0 +[D(22,2)]1
(22,2)23 [D(22,2)]0 +[D(24)]1

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