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Elementary Divisors for Partitions of n = 11

Partition	Specht degree	elementary divisors
(23,15)	110	[25*33*5] [25*34*5]9 [27*34*5]34 [27*34*5*7]66
(24,13)	165	[27*32] [28*32]9 [28*32*7]24 [28*33*7]76 [28*33*5*7]55
(25,1)	132	[25*32*5] [25*32*5*7]42 [25*32*52*7]57 [26*32*52*7]31 [26*33*52*7]
(3,2,16)	231	[24*32*5]43 [24*32*52] [26*32*52] [28*32*52]66 [28*33*52]120
(3,22,14)	550	[25*3]45 [25*3*7]64 [25*32*7] [25*33*7]56 [26*33*7]64 [26*34*7]122 [27*34*7]198
(3,23,12)	693	[23*32]43 [23*32*5]121 [24*32*5] [26*32*5]156 [26*32*52]42 [27*32*52]186 [28*32*52]144
(3,24)	330	[25*32]45 [25*32*5]86 [25*32*5*7]55 [26*32*5*7]134 [26*33*5*7]10
(32,15)	385	[24*3*5]34 [24*33*5]141 [24*34*5]11 [26*34*5] [27*34*5]198
(32,2,13)	990	[24*3]100 [26*3]42 [27*3]243 [27*3*5]120 [27*3*5*7]233 [27*32*5*7]252
(32,22,1)	990	[23]10 [23*5]145 [23*5*7]31 [24*5*7]144 [25*5*7]198 [26*5*7]46 [27*5*7]119 [27*3*5*7]252 [27*32*5*7]45
(33,12)	660	[24*3]66 [24*3*7]176 [25*3*7]78 [25*32*7]130 [25*33*7]155 [25*33*5*7]55
(33,2)	462	[23*3] [23*3*5]43 [24*3*5]87 [24*32*5]211 [24*33*5]31 [24*33*52]89
(4,2,15)	594	[23*3*5]120 [23*3*5*7]66 [24*3*5*7]2 [24*3*52*7]196 [25*3*52*7]2 [26*3*52*7]208
(4,22,13)	1232	[23*3]120 [23*32]68 [23*32*5]253 [23*34*5]525 [23*34*52]266
(4,23,1)	1155	[22*3]120 [22*3*5]66 [23*3*5]134 [23*32*5]208 [25*32*5] [26*32*5]210 [27*32*5]382 [27*33*5]34
(4,3,14)	1100	[23*3]141 [23*32]210 [23*33]35 [23*34]88 [23*34*7]374 [24*34*7]252
(4,3,2,12)	2310	[2]320 [2*3]528 [22*3]42 [24*3]90 [24*3*5]110 [25*3*5]32 [26*3*5]20 [27*3*5]99 [27*32*5]355 [27*33*5]714
(4,3,22)	1320	[22]100 [23]31 [23*3]21 [24*3]223 [24*32]460 [24*32*7]200 [24*32*5*7]176 [24*33*5*7]109
(4,32,1)	1188	[23]372 [23*5]222 [23*3*5*7]222 [23*3*52*7]372
(42,13)	825	[22*3]111 [22*32]87 [25*32]419 [26*32]9 [26*32*7]199
(42,2,1)	1320	[2]109 [2*3]176 [2*3*5]200 [2*3*5*7]460 [2*32*5*7]223 [22*32*5*7]21 [22*33*5*7]31 [23*33*5*7]100
(42,3)	462	[23]89 [23*5]31 [23*3*5]211 [23*32*5]87 [24*32*5]43 [24*32*52]
(5,2,14)	924	[23*3]208 [24*3]2 [24*32]196 [24*32*5]2 [25*32*5]264 [25*32*52]252
(5,22,12)	1540	[22]198 [23]12 [23*5]581 [23*32*5]35 [23*33*5]98 [24*33*5]418 [25*33*5]198
(5,23)	825	[22*3]199 [22*3*7]9 [23*3*7]419 [26*3*7]87 [26*32*7]111
(5,3,13)	1540	[2*3]198 [22*3]418 [23*3]98 [23*32]35 [23*34]581 [23*34*5]12 [24*34*5]198
(5,3,2,1)	2310	[1]714 [3]355 [32]99 [2*32]20 [22*32]32 [23*32]110 [23*32*5]90 [25*32*5]42 [26*32*5]528 [26*33*5]320
(5,32)	660	[2]55 [2*5]155 [2*3*5]130 [2*32*5]78 [22*32*5]176 [22*32*5*7]66
(5,4,12)	1155	[2]34 [2*3]382 [22*3]210 [23*3] [25*3]208 [25*32]134 [26*32]66 [26*32*5]120
(5,4,2)	990	[1]45 [3]252 [32]119 [2*32]46 [22*32]198 [23*32]144 [24*32]31 [24*32*7]145 [24*32*5*7]10
(52,1)	330	[2]10 [2*3]134 [22*3]55 [22*3*7]86 [22*3*5*7]45
(6,2,13)	924	[2*3]252 [2*3*5]264 [22*3*5]2 [22*3*52]196 [22*32*52]2 [23*32*52]208
(6,22,1)	1100	[22]252 [23]374 [23*7]88 [23*3*7]35 [23*32*7]210 [23*33*7]141
(6,3,12)	1232	[2]266 [2*5]525 [2*32*5]253 [2*32*52]68 [2*33*52]120
(6,3,2)	990	[1]252 [3]233 [3*7]120 [3*5*7]243 [2*3*5*7]42 [23*3*5*7]100
(6,4,1)	693	[1]144 [2]186 [22]42 [22*5]156 [24*5] [25*5]121 [25*52]43
(6,5)	132	[1] [3]31 [2*3]57 [2*3*5]42 [2*3*5*7]
(7,2,12)	594	[2]208 [22]2 [23]196 [23*5]2 [24*5]66 [24*5*7]120
(7,22)	385	[2]198 [22] [24]11 [24*3]141 [24*33]34
(7,3,1)	550	[1]198 [2]122 [2*3]64 [22*3]56 [22*32] [22*33]64 [22*33*7]45
(7,4)	165	[1]55 [5]76 [3*5]24 [3*5*7]9 [2*3*5*7]
(8,2,1)	231	[1]120 [3]66 [22*3] [24*3] [24*3*5]43
(8,3)	110	[1]66 [7]34 [22*7]9 [22*3*7]

Known Jantzen Filtrations

Partition	Prime	Jantzen Filtration
(111)	2	[D(11)]8
(111)	3	[D(6,5)]4
(111)	5	[D(33,2)]2
(111)	7	[D(25,1)]1
(111)	11	[D(2,19)]1
(2,19)	2	[D(10,1)]7
(2,19)	3	[D(52,1)]4
(2,19)	5	[D(32,22,1)]1
(2,19)	7	[D(24,13)]1
(2,19)	11	[D(2,19)]0 +[D(3,18)]1
(22,17)	2	[D(9,2)]6
(22,17)	3	[D(52,1)]2 +[D(5,4,12)]4
(22,17)	5	[D(33,2)]1 +[D(3,23,12)]2
(22,17)	7	[D(23,15)]1
(23,15)	2	[D(10,1)]5 +[D(8,3)]7
(23,15)	3	[D(6,5)]3 +[D(42,2,1)]4
(23,15)	5	[D(24,13)]1
(23,15)	7	[D(23,15)]0 +[D(33,12)]1
(24,13)	2	[D(11)]7 +[D(7,4)]8
(24,13)	3	[D(5,4,12)]2 +[D(4,3,22)]3
(24,13)	5	[D(24,13)]0 +[D(5,32)]1
(24,13)	7	[D(24,13)]0 +[D(32,22,1)]1
(25,1)	2	[D(8,3)]5 +[D(6,5)]6
(25,1)	3	[D(4,3,22)]2 +[D(11)]3
(25,1)	5	[D(3,23,12)]1 +[D(42,3)]2
(25,1)	7	[D(25,1)]0 +[D(3,24)]1
(3,18)	2	[D(9,2)+D(11)]7
(3,18)	3	[D(5,4,2)]2
(3,18)	5	[D(3,24)]1
(3,18)	7	[D(3,22,14)]1
(3,18)	11	[D(3,18)]0 +[D(4,17)]1
(3,2,16)	2	[D(9,2)]4 +[D(11)]6 +[D(8,2,1)]8
(3,2,16)	3	[D(42,2,1)+2*D(6,5)]2 +[D(42,3)]3
(3,2,16)	5	[D(3,23,12)]1 +[D(4,22,13)]2
(3,22,14)	2	[D(7,4)+2*D(11)]5 +[D(8,2,1)]6 +[D(7,3,1)]7
(3,22,14)	3	[D(42,2,1)]1 +[D(6,5)]2 +[D(42,3)]3 +[D(4,3,2,12)]4
(3,22,14)	7	[D(3,22,14)]0 +[D(32,2,13)]1
(3,23,12)	2	[D(7,4)]3 +[D(11)]4 +[D(7,3,1)]6 +[D(8,2,1)]7 +[D(6,4,1)]8
(3,23,12)	3	[D(32,22,1)]2
(3,23,12)	5	[D(3,23,12)]0 +[D(33,2)+D(4,22,13)+D(42,3)]1 +[D(4,32,1)]2
(3,24)	2	[D(8,2,1)]5 +[D(6,4,1)]6
(3,24)	3	[D(4,3,2,12)]2 +[D(10,1)]3
(3,24)	5	[D(3,24)]0 +[D(42,2,1)]1
(3,24)	7	[D(3,24)]0 +[D(5,23)]1
(32,15)	2	[D(8,2,1)]4 +[D(11)]6 +[D(7,3,1)]7
(32,15)	3	[D(5,4,12)]1 +[D(4,3,22)+D(52,1)]3 +[D(5,32)]4
(32,15)	5	[D(32,2,13)]1
(32,2,13)	2	[D(8,3)]4 +[D(6,5)+D(10,1)]6 +[D(6,3,2)]7
(32,2,13)	3	[D(32,22,1)+D(5,4,2)]1 +[D(6,3,2)]2
(32,2,13)	5	[D(32,2,13)]0 +[D(33,12)]1
(32,2,13)	7	[D(32,2,13)]0 +[D(42,2,1)]1
(32,22,1)	2	[D(8,2,1)]3 +[D(6,4,1)]4 +[D(7,3,1)]5 +[D(9,2)+2*D(11)]6 +[D(5,4,2)]7
(32,22,1)	3	[D(32,22,1)]0 +[D(6,3,2)]1 +[D(9,12)]2
(32,22,1)	5	[D(32,22,1)]0 +[D(4,3,2,12)]1
(32,22,1)	7	[D(32,22,1)]0 +[D(4,3,22)]1
(33,12)	2	[D(7,3,1)+D(9,2)]4 +[D(5,4,2)+2*D(11)]5
(33,12)	3	[D(4,3,2,12)]1 +[D(42,3)+D(10,1)]2 +[D(7,22)]3
(33,12)	5	[D(33,12)]0 +[D(7,4)]1
(33,12)	7	[D(33,12)]0 +[D(4,32,1)]1
(33,2)	2	[D(9,2)]3 +[D(5,4,2)+2*D(11)]4
(33,2)	3	[D(4,3,22)]1 +[D(5,32)+D(11)]2 +[D(8,2,1)]3
(33,2)	5	[D(33,2)]0 +[D(4,32,1)]1 +[D(6,5)]2
(4,17)	2	[D(8,3)+2*D(10,1)]4
(4,17)	3	[D(42,3)]2
(4,17)	5	[D(4,23,1)]1
(4,17)	7	[D(4,2,15)]1
(4,17)	11	[D(4,17)]0 +[D(5,16)]1
(4,2,15)	2	[D(8,2,1)]3 +[D(7,3,1)]4 +[2*D(11)]5 +[D(7,4)+D(9,2)]6
(4,2,15)	3	[D(4,32,1)]1
(4,2,15)	5	[D(4,22,13)]1 +[D(5,2,14)]2
(4,2,15)	7	[D(4,2,15)]0 +[D(4,3,14)]1
(4,22,13)	2	[D(6,3,2)+2*D(6,5)+3*D(8,3)+2*D(10,1)]3
(4,22,13)	3	[D(42,3)]1 +[D(4,3,2,12)+D(6,5)]2 +[D(5,22,12)]4
(4,22,13)	5	[D(4,22,13)]0 +[D(4,32,1)+D(5,2,14)]1 +[D(6,3,12)]2
(4,23,1)	2	[D(8,2,1)]2 +[D(6,4,1)+D(7,3,1)]3 +[D(11)]5 +[D(7,4)+D(9,2)+2*D(11)]6 +[D(5,4,2)]7
(4,23,1)	3	[D(4,3,2,12)]1 +[D(5,22,12)+D(10,1)]2 +[D(9,2)]3
(4,23,1)	5	[D(4,23,1)]0 +[D(4,3,22)]1
(4,3,14)	2	[D(6,3,2)]3 +[D(6,5)+2*D(8,3)+2*D(10,1)]4
(4,3,14)	3	[D(4,3,22)+D(52,1)]1 +[D(5,32)]2 +[D(5,4,12)+D(11)]3 +[D(5,3,2,1)]4
(4,3,14)	7	[D(4,3,14)]0 +[D(42,13)]1
(4,3,2,12)	2	[D(6,3,2)]1 +[D(6,5)+D(10,1)]2 +[2*D(8,3)]4 +[D(6,5)]5 +[2*D(10,1)]6 +[D(5,3,2,1)]7
(4,3,2,12)	3	[D(4,3,2,12)]0 +[D(42,3)+D(5,22,12)+D(10,1)]1 +[D(42,2,1)+2*D(6,5)+D(7,22)+D(9,2)]2 +[D(6,22,1)]3
(4,3,2,12)	5	[D(4,3,2,12)]0 +[D(5,3,13)]1
(4,3,22)	2	[D(8,3)]2 +[D(6,5)+2*D(10,1)]3 +[D(5,3,2,1)]4
(4,3,22)	3	[D(4,3,22)]0 +[D(5,32)+D(5,4,12)]1 +[D(5,3,2,1)+D(8,2,1)+2*D(11)]2 +[D(8,3)]3
(4,3,22)	5	[D(4,3,22)]0 +[D(52,1)]1
(4,3,22)	7	[D(4,3,22)]0 +[D(6,3,2)]1
(4,32,1)	2	[D(5,3,2,1)+2*D(10,1)]3
(4,32,1)	3	[D(4,32,1)]0 +[D(7,2,12)]1
(4,32,1)	5	[D(4,32,1)]0 +[D(42,3)+D(6,3,12)+D(6,5)]1 +[D(6,4,1)]2
(4,32,1)	7	[D(4,32,1)]0 +[D(5,32)]1
(42,13)	2	[D(7,3,1)]2 +[D(5,4,2)+3*D(11)]5 +[D(7,4)+D(9,2)]6
(42,13)	3	[D(42,2,1)+2*D(6,5)]1 +[D(6,22,1)]2
(42,13)	7	[D(42,13)]0 +[D(52,1)]1
(42,2,1)	2	[D(5,3,2,1)]1 +[D(6,5)+2*D(10,1)]2 +[D(8,3)]3
(42,2,1)	3	[D(42,2,1)]0 +[D(42,3)+D(6,22,1)+2*D(6,5)]1 +[D(7,22)+D(9,2)]2 +[D(7,4)]3
(42,2,1)	5	[D(42,2,1)]0 +[D(5,4,12)]1
(42,2,1)	7	[D(42,2,1)]0 +[D(5,4,2)]1
(42,3)	2	[D(5,4,2)+2*D(11)]3 +[D(9,2)]4
(42,3)	3	[D(42,3)]0 +[D(6,5)+D(7,22)]1 +[D(7,4)]2
(42,3)	5	[D(42,3)]0 +[D(6,4,1)]1 +[D(11)]2
(5,16)	2	[D(7,4)+D(9,2)+2*D(11)]4
(5,16)	3	[D(5,32)]2
(5,16)	5	[D(5,22,12)]1
(5,16)	11	[D(5,16)]0 +[D(6,15)]1
(5,2,14)	2	[D(7,4)+D(9,2)]3 +[D(7,3,1)+2*D(11)]4 +[D(6,4,1)+2*D(8,2,1)]5
(5,2,14)	3	[D(5,32)]1 +[D(5,3,2,1)]2
(5,2,14)	5	[D(5,2,14)]0 +[D(6,3,12)]1 +[D(6,2,13)]2
(5,22,12)	3	[D(5,22,12)]0 +[D(6,5)+D(9,2)]2 +[D(6,22,1)]3
(5,22,12)	5	[D(5,22,12)]0 +[D(5,3,2,1)]1
(5,23)	2	[D(7,4)+D(9,2)]2 +[D(5,4,2)+3*D(11)]3 +[D(7,3,1)]6
(5,23)	3	[D(5,3,2,1)]1 +[D(8,3)+2*D(11)]2
(5,23)	7	[D(5,23)]0 +[D(6,22,1)]1
(5,3,13)	3	[D(5,3,2,1)]1 +[D(5,4,12)+D(11)]2 +[D(6,3,12)]4
(5,3,13)	5	[D(5,3,13)]0 +[D(7,14)]1
(5,3,2,1)	2	[D(5,3,2,1)]0 +[2*D(10,1)]1 +[D(6,5)]2 +[2*D(8,3)]3 +[D(6,5)+D(10,1)]5 +[D(6,3,2)]6
(5,3,2,1)	5	[D(5,3,2,1)]0 +[D(5,4,2)]1
(5,32)	2	[D(5,4,2)+2*D(11)]1 +[D(7,3,1)+D(9,2)]2
(5,32)	3	[D(5,32)]0 +[D(52,1)+D(8,2,1)]1 +[D(7,3,1)]2
(5,32)	5	[D(5,32)]0 +[D(6,3,2)]1
(5,32)	7	[D(5,32)]0 +[D(8,3)]1
(5,4,12)	2	[D(5,4,2)]1 +[D(7,4)+D(9,2)+2*D(11)]2 +[D(11)]3 +[D(6,4,1)+D(7,3,1)]5 +[D(8,2,1)]6
(5,4,12)	3	[D(5,4,12)]0 +[D(52,1)+D(6,3,12)]1 +[D(7,3,1)]2
(5,4,12)	5	[D(5,4,12)]0 +[D(8,13)]1
(5,4,2)	2	[D(5,4,2)]0 +[D(9,2)+2*D(11)]1 +[D(7,3,1)]2 +[D(6,4,1)]3 +[D(8,2,1)]4
(5,4,2)	3	[D(5,4,2)]0 +[D(6,3,2)]1 +[D(6,4,1)]2
(5,4,2)	5	[D(5,4,2)]0 +[D(10,1)]1
(5,4,2)	7	[D(5,4,2)]0 +[D(7,4)]1
(52,1)	2	[D(6,4,1)]1 +[D(8,2,1)]2
(52,1)	3	[D(52,1)]0 +[D(7,3,1)]1
(52,1)	5	[D(52,1)]0 +[D(9,12)]1
(52,1)	7	[D(52,1)]0 +[D(6,5)]1
(6,15)	2	[D(6,5)+2*D(8,3)+2*D(10,1)]3
(6,15)	3	[D(6,3,2)]1
(6,15)	5	[D(6,2,13)]1
(6,15)	11	[D(6,15)]0 +[D(7,14)]1
(6,2,13)	2	[D(6,4,1)+2*D(8,2,1)]1 +[D(7,3,1)+2*D(11)]2 +[D(7,4)+D(9,2)]3
(6,2,13)	3	[D(6,22,1)]1 +[D(7,22)]2
(6,2,13)	5	[D(6,2,13)]0 +[D(6,3,12)]1 +[D(7,2,12)]2
(6,22,1)	2	[D(6,5)+2*D(8,3)+2*D(10,1)]2 +[D(6,3,2)]3
(6,22,1)	3	[D(6,22,1)]0 +[D(6,5)+D(9,2)]1 +[D(7,22)]2 +[D(7,4)+D(10,1)]3
(6,22,1)	7	[D(6,22,1)]0 +[D(7,2,12)]1
(6,3,12)	2	[D(6,3,2)+2*D(6,5)+3*D(8,3)+2*D(10,1)]1
(6,3,12)	3	[D(6,3,12)]0 +[D(7,3,1)+D(11)]2 +[D(8,2,1)]3
(6,3,12)	5	[D(6,3,12)]0 +[D(6,4,1)+D(7,2,12)]1 +[D(8,2,1)]2
(6,3,2)	2	[D(6,3,2)]0 +[D(6,5)+D(10,1)]1 +[D(8,3)]3
(6,3,2)	3	[D(6,3,2)]0 +[D(6,4,1)+D(9,12)]1
(6,3,2)	5	[D(6,3,2)]0 +[D(7,22)]1
(6,3,2)	7	[D(6,3,2)]0 +[D(7,3,1)]1
(6,4,1)	2	[D(6,4,1)]0 +[D(8,2,1)]1 +[D(7,3,1)]2 +[D(11)]4 +[D(7,4)]5
(6,4,1)	5	[D(6,4,1)]0 +[D(6,5)+D(8,2,1)+D(11)]1 +[D(9,2)]2
(6,5)	2	[D(6,5)]0 +[D(8,3)]1
(6,5)	3	[D(6,5)]0 +[D(7,4)]1
(6,5)	5	[D(6,5)]0 +[D(9,2)]1
(6,5)	7	[D(6,5)]0 +[D(11)]1
(7,14)	2	[D(7,4)+D(9,2)+2*D(11)]3
(7,14)	3	[D(7,22)]1
(7,14)	11	[D(7,14)]0 +[D(8,13)]1
(7,2,12)	2	[D(7,4)+D(9,2)]1 +[2*D(11)]2 +[D(7,3,1)]3 +[D(8,2,1)]4
(7,2,12)	5	[D(7,2,12)]0 +[D(8,2,1)]1
(7,2,12)	7	[D(7,2,12)]0 +[D(8,13)]1
(7,22)	2	[D(7,3,1)]1 +[D(11)]2 +[D(8,2,1)]4
(7,22)	3	[D(7,22)]0 +[D(7,4)+D(10,1)]1 +[D(9,2)]3
(7,3,1)	2	[D(7,3,1)]0 +[D(8,2,1)]1 +[D(7,4)+2*D(11)]2
(7,3,1)	3	[D(7,3,1)]0 +[D(8,2,1)]1 +[D(11)]2 +[D(8,3)]3
(7,3,1)	7	[D(7,3,1)]0 +[D(9,12)]1
(7,4)	2	[D(7,4)]0 +[D(11)]1
(7,4)	3	[D(7,4)]0 +[D(9,2)]1
(7,4)	5	[D(7,4)]0 +[D(8,3)]1
(7,4)	7	[D(7,4)]0 +[D(10,1)]1
(8,13)	2	[D(8,3)+2*D(10,1)]1
(8,13)	3	[D(8,2,1)]1
(8,13)	11	[D(8,13)]0 +[D(9,12)]1
(8,2,1)	2	[D(8,2,1)]0 +[D(11)]2 +[D(9,2)]4
(8,2,1)	3	[D(8,2,1)]0 +[D(8,3)+2*D(11)]1
(8,2,1)	5	[D(8,2,1)]0 +[D(9,2)]1
(8,3)	2	[D(8,3)]0 +[D(10,1)]2
(8,3)	3	[D(8,3)]0 +[D(11)]1
(8,3)	7	[D(8,3)]0 +[D(9,2)]1
(9,12)	2	[D(9,2)+D(11)]1
(9,12)	11	[D(9,12)]0 +[D(10,1)]1
(9,2)	3	[D(9,2)]0 +[D(10,1)]2
(9,2)	5	[D(9,2)]0 +[D(11)]1
(10,1)	11	[D(10,1)]0 +[D(11)]1

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Last updated: Mon Jul 12 23:23:19 2004 (CET)