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Elementary Divisors for Partitions of n = 14

Partition	Specht degree	elementary divisors
(23,18)	273	[29*34*5*7] [210*34*5*7]12 [210*34*5*7*11]52 [211*34*5*7*11]12 [211*34*52*7*11]196
(24,16)	637	[28*33*5] [28*33*5*11]12 [28*33*52*11]51 [28*34*52*11]13 [28*35*52*11]131 [29*35*52*11]64 [210*35*52*11] [211*35*52*11]364
(25,14)	1001	[28*33*52]13 [28*34*52]51 [29*34*52] [210*34*52]208 [210*34*52*7]168 [211*34*52*7]132 [211*35*52*7]428
(26,12)	1001	[28*34*5] [28*35*5]11 [29*35*5]65 [29*35*5*7]496 [210*35*5*7]51 [210*35*52*7]313 [211*35*52*7]64
(27)	429	[28*33*5*7] [29*33*5*7]11 [29*33*5*72]184 [29*33*52*72]169 [210*33*52*72]63 [210*34*52*72]
(3,2,19)	560	[27*34*5*7]76 [27*34*5*7*13]2 [27*34*5*7*11*13]196 [27*35*5*7*11*13]286
(3,22,17)	2002	[26*32*5*7]78 [26*32*52*7]130 [27*32*52*7]64 [28*32*52*7] [28*33*52*7]286 [28*34*52*7] [28*35*52*7]78 [29*35*52*7]64 [210*35*52*7]1300
(3,23,15)	4368	[25*33*5]78 [25*34*5]482 [27*34*5]76 [27*34*5*11]366 [27*34*52*11]1000 [27*34*52*7*11]2366
(3,24,13)	6006	[27*33]12 [28*33]548 [28*33*7]78 [29*33*7]363 [29*33*5*7]429 [210*33*5*7]1014 [210*34*5*7]1923 [210*34*52*7]1639
(3,25,1)	4576	[25*32*5]12 [25*32*5*7]484 [25*32*5*72]504 [25*33*5*72] [25*34*5*72]923 [25*34*52*72]1884 [26*34*52*72]755 [26*35*52*72]13
(32,18)	1365	[28*32*5*7]64 [29*33*5*7] [210*33*5*7]417 [210*33*5*7*11]168 [210*34*5*7*11]715
(32,2,16)	5733	[27*32*5]260 [27*32*5*11]1104 [28*32*5*11] [29*32*5*11]364 [210*32*5*11]195 [210*32*52*11]391 [211*32*52*11]2131 [211*33*52*11]1287
(32,24)	6435	[26*32] [26*32*7]363 [27*32*7]625 [28*32*7]12 [29*32*7]364 [29*32*5*7]2716 [29*32*5*72]338 [210*32*5*72]1938 [210*33*5*72]78
(33,15)	7007	[26*32*5]196 [26*32*52]388 [27*32*52]858 [27*33*52] [27*34*52]2925 [28*34*52] [29*34*52]128 [210*34*52]794 [210*35*52]1716
(34,12)	9009	[26*3]77 [26*3*5]287 [27*3*5] [28*3*5]128 [29*3*5]1873 [29*3*5*7]1937 [210*3*5*7]2054 [210*32*5*7]1365 [210*33*5*7]1054 [210*33*52*7]233
(34,2)	6006	[26*32]78 [26*32*5]650 [26*32*5*7]572 [27*32*5*7]2262 [27*33*5*7]1729 [27*34*5*7]338 [27*34*52*7]377
(4,2,18)	2079	[27*32*5*7]64 [28*32*5*7]222 [28*32*52*7]198 [28*32*52*7*13]881 [29*32*52*7*13]220 [210*32*52*7*13]494
(4,22,16)	7007	[25*32*5]286 [25*34*5]1014 [26*34*5]64 [27*34*5]366 [27*35*5]129 [28*35*5]584 [29*35*5]2 [210*35*5]921 [210*35*52]3641
(4,25)	7007	[25*32*5]364 [26*32*5]65 [28*32*5]1364 [28*32*52]1769 [28*33*52]14 [28*34*52]1415 [29*34*52]1952 [29*35*52]64
(4,3,17)	6006	[24*32*5*7]586 [24*33*5*7]714 [27*33*5*7]493 [27*34*52*7]3421 [28*34*52*7]792
(42,16)	7644	[25*32*5]883 [25*32*5*11]392 [25*33*5*11]2143 [26*33*5*11]795 [26*33*52*11]2509 [27*33*52*11]922
(5,2,17)	4928	[24*32*5*7]715 [24*34*5*7]880 [24*34*5*7*13]2046 [24*34*52*7*13]1287
(52,4)	6006	[23]377 [23*5]338 [23*3*5]1729 [23*32*5]2262 [24*32*5]572 [24*32*5*7]650 [24*32*52*7]78
(6,2,16)	8085	[24*32*5]494 [25*32*5]792 [26*32*5] [27*32*5]2046 [27*32*5*13]3036 [27*33*5*13]794 [28*33*5*13]922
(6,42)	9009	[2]233 [2*5]1054 [2*3*5]1365 [2*32*5]2054 [22*32*5]1937 [22*32*5*7]1873 [23*32*5*7]128 [24*32*5*7] [25*32*5*7]287 [25*32*52*7]77
(62,12)	7007	[22]64 [22*3]1952 [23*3]1415 [23*32]14 [23*33]1769 [23*33*5]1364 [25*33*5]65 [26*33*5]364
(62,2)	6435	[2]78 [2*3]1938 [22*3]338 [22*3*7]2716 [22*3*5*7]364 [23*3*5*7]12 [24*3*5*7]625 [25*3*5*7]363 [25*3*5*72]
(7,2,15)	9504	[23*3*5]792 [23*3*5*7]3960 [23*3*5*7*13]3960 [23*3*5*72*13]792
(7,6,1)	4576	[1]13 [3]755 [2*3]1884 [2*3*5]923 [2*32*5] [2*33*5]504 [2*33*5*7]484 [2*33*5*72]12
(72)	429	[2] [2*3]63 [22*3]169 [22*3*5]184 [22*3*5*7]11 [23*3*5*7]
(8,2,14)	8085	[23*3]922 [24*3]794 [24*32]3036 [24*32*13]2046 [25*32*13] [26*32*13]792 [27*32*13]494
(8,23)	7644	[22*3]922 [23*3]2509 [23*3*5]795 [24*3*5]2143 [24*32*5]392 [24*32*5*11]883
(8,32)	7007	[2]1716 [2*3]794 [22*3]128 [23*3] [24*3]2925 [24*32] [24*33]858 [25*33]388 [25*33*5]196
(8,5,1)	6006	[1]1639 [5]1923 [3*5]1014 [2*3*5]429 [2*3*52]363 [22*3*52]78 [22*3*52*7]548 [23*3*52*7]12
(8,6)	1001	[1]64 [2]313 [2*5]51 [22*5]496 [22*5*7]65 [23*5*7]11 [23*3*5*7]
(9,2,13)	4928	[2*3]1287 [2*3*5]2046 [2*3*5*13]880 [2*33*5*13]715
(9,22,1)	6006	[22]792 [23]3421 [23*3*5]493 [26*3*5]714 [26*32*5]586
(9,3,12)	7007	[2]3641 [2*5]921 [22*5]2 [23*5]584 [24*5]129 [24*3*5]366 [25*3*5]64 [26*3*5]1014 [26*33*5]286
(9,3,2)	5733	[1]1287 [3]2131 [2*3]391 [2*3*5]195 [22*3*5]364 [23*3*5] [24*3*5]1104 [24*3*5*11]260
(9,4,1)	4368	[1]2366 [7]1000 [5*7]366 [5*7*11]76 [22*5*7*11]482 [22*3*5*7*11]78
(9,5)	1001	[1]428 [3]132 [2*3]168 [2*3*7]208 [22*3*7] [23*3*7]51 [23*32*7]13
(10,2,12)	2079	[2]494 [22]220 [23]881 [23*13]198 [23*5*13]222 [24*5*13]64
(10,22)	1365	[2]715 [2*3]168 [2*3*11]417 [22*3*11] [23*32*11]64
(10,3,1)	2002	[1]1300 [2]64 [22]78 [22*3] [22*32]286 [22*33] [23*33]64 [24*33]130 [24*33*5]78
(10,4)	637	[1]364 [2] [22]64 [23]131 [23*3]13 [23*32]51 [23*32*5]12 [23*32*5*11]
(11,2,1)	560	[1]286 [3]196 [3*11]2 [3*11*13]76
(11,3)	273	[1]196 [5]12 [2*5]52 [2*5*11]12 [22*5*11]

Known Jantzen Filtrations

Partition	Prime	Jantzen Filtration
(2,112)	2	[D(14)]10 +[D(13,1)]11
(2,112)	3	[D(7,6,1)]5
(2,112)	5	[D(4,33,1)]2
(2,112)	7	[D(32,24)]1 +[D(3,25,1)]2
(2,112)	11	[D(23,18)]1
(22,110)	2	[D(13,1)]9 +[D(14)]10 +[D(12,2)]11
(22,110)	3	[D(7,6,1)]4 +[D(62,12)]5
(22,110)	5	[D(34,12)]2
(22,110)	7	[D(26,12)]1
(22,110)	13	[D(22,110)]0 +[D(3,2,19)]1
(23,18)	2	[D(14)]9 +[D(12,2)]10 +[D(11,3)]11
(23,18)	3	[D(6,5,2,1)]4
(23,18)	5	[D(34,12)]1 +[D(33,2,13)]2
(23,18)	7	[D(25,14)]1
(23,18)	11	[D(23,18)]0 +[D(32,2,16)]1
(24,16)	2	[D(11,3)]8 +[D(12,2)]9 +[D(14)]10 +[D(10,4)]11
(24,16)	3	[D(62,12)]3 +[D(7,6,1)]4 +[D(52,22)]5
(24,16)	5	[D(4,33,1)]1 +[D(32,22,14)]2
(24,16)	11	[D(24,16)]0 +[D(3,23,15)]1
(25,14)	2	[D(12,2)]8 +[D(14)]9 +[D(10,4)+D(13,1)]10 +[D(9,5)]11
(25,14)	3	[D(7,6,1)]3 +[D(52,22)]4 +[D(5,4,3,2)]5
(25,14)	5	[D(3,24,13)]2
(25,14)	7	[D(25,14)]0 +[D(34,2)]1
(26,12)	2	[D(13,1)]8 +[D(9,5)+D(14)]9 +[D(10,4)]10 +[D(8,6)]11
(26,12)	3	[D(72)]4 +[D(42,32)]5
(26,12)	5	[D(32,22,14)]1 +[D(52,4)]2
(26,12)	7	[D(26,12)]0 +[D(4,32,22)]1
(27)	2	[D(14)]8 +[D(10,4)]9 +[D(8,6)]10
(27)	3	[D(5,4,3,2)]3 +[D(14)]4
(27)	5	[D(33,2,13)]1 +[D(6,42)]2
(27)	7	[D(3,25,1)]1 +[D(42,23)]2
(3,111)	2	[D(13,1)]8 +[D(12,2)+2*D(14)]9
(3,111)	3	[D(62,2)]4
(3,111)	5	[D(34,2)]2
(3,111)	7	[D(3,25,1)]1 +[D(4,24,12)]2
(3,111)	11	[D(3,2,19)]1
(3,2,19)	2	[D(11,2,1)]7
(3,2,19)	3	[D(6,5,2,1)+D(72)]4 +[D(6,5,3)]5
(3,2,19)	5	[D(33,22,1)]1
(3,2,19)	7	[D(3,24,13)]1
(3,2,19)	11	[D(3,2,19)]0 +[D(32,18)]1
(3,2,19)	13	[D(3,2,19)]0 +[D(4,2,18)]1
(3,22,17)	2	[D(11,3)]6 +[D(12,2)]7 +[D(10,4)+2*D(14)]8 +[D(12,2)]9 +[D(10,3,1)]10
(3,22,17)	3	[D(6,5,2,1)]2 +[D(6,5,3)]3 +[D(72)]4 +[D(52,2,12)]5
(3,22,17)	5	[D(34,2)]1 +[D(32,23,12)]2
(3,22,17)	7	[D(3,23,15)]1
(3,23,15)	2	[D(11,2,1)]5 +[D(9,4,1)]7
(3,23,15)	3	[D(62,2)]3 +[D(5,4,22,1)]4
(3,23,15)	5	[D(3,24,13)+D(42,32)]1 +[D(4,24,12)]2
(3,23,15)	7	[D(3,23,15)]0 +[D(34,12)]1
(3,23,15)	11	[D(3,23,15)]0 +[D(4,23,14)]1
(3,24,13)	3	[D(42,32)+D(52,2,12)+2*D(72)]3 +[D(42,3,2,1)]4
(3,24,13)	5	[D(3,24,13)]0 +[D(4,24,12)]1 +[D(52,3,1)]2
(3,24,13)	7	[D(3,24,13)]0 +[D(33,22,1)]1
(3,25,1)	2	[D(9,4,1)]5 +[D(7,6,1)]6
(3,25,1)	3	[D(42,32)]2 +[D(72)]3 +[D(42,3,2,1)]4 +[D(13,1)]5
(3,25,1)	5	[D(32,23,12)]1 +[D(5,42,1)]2
(3,25,1)	7	[D(3,25,1)]0 +[D(32,24)+D(4,24,12)+D(42,23)]1 +[D(4,3,23,1)]2
(32,18)	2	[D(12,2)]8 +[D(14)]9 +[D(10,3,1)]10
(32,18)	3	[D(62,12)]2 +[D(52,22)+2*D(7,6,1)]3 +[D(52,4)]4
(32,18)	5	[D(32,24)]1
(32,18)	7	[D(32,22,14)]1
(32,18)	11	[D(32,18)]0 +[D(42,16)]1
(32,2,16)	2	[D(10,3,1)+D(12,2)]7 +[D(14)]8 +[D(10,4)]9 +[D(9,5)+2*D(13,1)+2*D(14)]10 +[D(9,3,2)]11
(32,2,16)	3	[D(5,4,22,1)+2*D(62,2)]2 +[D(6,42)]3
(32,2,16)	5	[D(32,23,12)]1 +[D(42,2,14)]2
(32,2,16)	11	[D(32,2,16)]0 +[D(4,3,2,15)]1
(4,110)	2	[D(12,2)+2*D(14)]8 +[D(11,3)+D(13,1)]9
(4,110)	3	[D(6,5,3)]4
(4,110)	5	[D(4,32,22)]2
(4,110)	7	[D(4,24,12)]1 +[D(5,23,13)]2
(4,2,18)	2	[D(12,2)]7 +[D(10,3,1)+D(14)]8 +[D(11,3)+D(13,1)]9 +[D(10,4)+2*D(12,2)+2*D(14)]10
(4,2,18)	3	[D(52,3,1)]2
(4,2,18)	5	[D(4,32,22)]1 +[D(4,3,23,1)]2
(4,2,18)	7	[D(4,23,14)]1
(4,2,18)	13	[D(4,2,18)]0 +[D(5,2,17)]1
(4,3,17)	2	[D(10,3,1)]4 +[D(9,3,2)+D(10,4)+2*D(12,2)+4*D(14)]7 +[D(9,5)+D(11,3)+2*D(13,1)]8
(4,3,17)	3	[D(52,22)+2*D(7,6,1)]2 +[D(5,4,3,2)+D(52,4)+D(62,12)]3 +[D(5,42,1)]4
(4,3,17)	5	[D(4,3,23,1)]1 +[D(42,22,12)]2
(4,3,17)	7	[D(4,3,2,15)]1
(5,19)	2	[D(11,3)+D(13,1)]7 +[D(10,4)+2*D(12,2)+3*D(14)]8
(5,19)	3	[D(52,4)]4
(5,19)	5	[D(5,3,23)]1
(5,19)	7	[D(5,23,13)]1 +[D(6,22,14)]2
(5,2,17)	2	[D(9,4,1)+2*D(11,2,1)]4
(5,2,17)	3	[D(52,4)]2 +[D(5,42,1)]4
(5,2,17)	5	[D(5,24,1)]1 +[D(6,24)]2
(5,2,17)	7	[D(5,22,15)]1
(5,2,17)	13	[D(5,2,17)]0 +[D(6,2,16)]1
(6,18)	2	[D(10,4)+2*D(12,2)+3*D(14)]7 +[D(9,5)+D(11,3)+2*D(13,1)]8
(6,18)	3	[D(6,42)]2
(6,18)	5	[D(6,24)]1
(6,18)	7	[D(6,22,14)]1 +[D(7,2,15)]2
(7,17)	3	[D(7,4,3)]2
(7,17)	5	[D(7,23,1)]1
(7,17)	7	[D(7,2,15)]1 +[D(8,16)]2
(7,6,1)	2	[D(7,6,1)]0 +[D(9,4,1)]1
(7,6,1)	3	[D(7,6,1)]0 +[D(8,5,1)]1 +[D(14)]2 +[D(8,6)]3
(7,6,1)	5	[D(7,6,1)]0 +[D(10,3,1)]1
(7,6,1)	7	[D(7,6,1)]0 +[D(72)+D(12,12)+D(14)]1 +[D(13,1)]2
(72)	2	[D(8,6)]1 +[D(10,4)]2 +[D(14)]3
(72)	3	[D(72)]0 +[D(9,5)]1
(72)	5	[D(72)]0 +[D(11,3)]1
(72)	7	[D(72)]0 +[D(13,1)]1
(8,16)	3	[D(8,32)]2
(8,16)	5	[D(8,22,12)]1
(8,16)	7	[D(8,16)]0 +[D(9,15)]1
(8,5,1)	3	[D(8,5,1)]0 +[D(8,6)+D(10,3,1)+2*D(14)]1
(8,5,1)	5	[D(8,5,1)]0 +[D(9,4,1)]1 +[D(9,5)]2
(8,5,1)	7	[D(8,5,1)]0 +[D(11,2,1)]1
(8,6)	2	[D(8,6)]0 +[D(10,4)]1 +[D(9,5)+D(14)]2 +[D(13,1)]3
(8,6)	3	[D(8,6)]0 +[D(14)]1
(8,6)	5	[D(8,6)]0 +[D(10,4)]1
(8,6)	7	[D(8,6)]0 +[D(12,2)]1
(9,15)	2	[D(9,5)+D(11,3)+2*D(13,1)]3 +[D(10,4)+2*D(12,2)+3*D(14)]4
(9,15)	3	[D(9,3,2)]1
(9,15)	5	[D(9,2,13)]1
(9,15)	7	[D(9,15)]0 +[D(10,14)]1
(9,2,13)	2	[D(9,4,1)+2*D(11,2,1)]1
(9,2,13)	3	[D(9,22,1)]1 +[D(10,22)]3
(9,2,13)	5	[D(9,2,13)]0 +[D(9,3,12)]1
(9,2,13)	13	[D(9,2,13)]0 +[D(10,2,12)]1
(9,22,1)	2	[D(9,5)+D(11,3)+2*D(13,1)]2 +[D(9,3,2)+D(10,4)+2*D(12,2)+4*D(14)]3 +[D(10,3,1)]6
(9,22,1)	3	[D(9,22,1)]0 +[D(9,5)+D(10,22)+D(12,2)]1 +[D(10,4)+2*D(13,1)]2
(9,22,1)	5	[D(9,22,1)]0 +[D(10,2,12)]1
(9,3,2)	2	[D(9,3,2)]0 +[D(9,5)+2*D(13,1)+2*D(14)]1 +[D(10,4)]2 +[D(14)]3 +[D(10,3,1)+D(12,2)]4
(9,3,2)	3	[D(9,3,2)]0 +[D(9,4,1)+2*D(12,12)]1
(9,3,2)	5	[D(9,3,2)]0 +[D(10,3,1)]1
(9,3,2)	11	[D(9,3,2)]0 +[D(11,3)]1
(9,4,1)	2	[D(9,4,1)]0 +[D(11,2,1)]2
(9,4,1)	3	[D(9,4,1)]0 +[D(12,12)]1
(9,4,1)	5	[D(9,4,1)]0 +[D(9,5)+D(14)]1
(9,4,1)	7	[D(9,4,1)]0 +[D(10,3,1)]1
(9,4,1)	11	[D(9,4,1)]0 +[D(10,4)]1
(9,5)	2	[D(9,5)]0 +[D(10,4)+D(13,1)]1 +[D(14)]2 +[D(12,2)]3
(9,5)	3	[D(9,5)]0 +[D(10,4)]1 +[D(13,1)]2
(9,5)	7	[D(9,5)]0 +[D(11,3)]1
(10,14)	2	[D(10,4)+2*D(12,2)+3*D(14)]3 +[D(11,3)+D(13,1)]4
(10,14)	3	[D(10,22)]1
(10,14)	7	[D(10,14)]0 +[D(11,13)]1
(10,2,12)	2	[D(10,4)+2*D(12,2)+2*D(14)]1 +[D(11,3)+D(13,1)]2 +[D(10,3,1)+D(14)]3 +[D(12,2)]4
(10,2,12)	5	[D(10,2,12)]0 +[D(11,13)]1
(10,2,12)	13	[D(10,2,12)]0 +[D(11,2,1)]1
(10,22)	2	[D(10,3,1)]1 +[D(14)]2 +[D(12,2)]3
(10,22)	3	[D(10,22)]0 +[D(10,4)+2*D(13,1)]1 +[D(12,2)]2
(10,22)	11	[D(10,22)]0 +[D(11,2,1)]1
(10,3,1)	2	[D(10,3,1)]0 +[D(12,2)]1 +[D(10,4)+2*D(14)]2 +[D(12,2)]3 +[D(11,3)]4
(10,3,1)	3	[D(10,3,1)]0 +[D(14)]1 +[D(11,2,1)]2 +[D(11,3)]3
(10,3,1)	5	[D(10,3,1)]0 +[D(12,12)]1
(10,4)	2	[D(10,4)]0 +[D(14)]1 +[D(12,2)]2 +[D(11,3)]3
(10,4)	3	[D(10,4)]0 +[D(13,1)]1 +[D(12,2)]2
(10,4)	5	[D(10,4)]0 +[D(13,1)]1
(10,4)	11	[D(10,4)]0 +[D(14)]1
(11,13)	2	[D(11,3)+D(13,1)]1 +[D(12,2)+2*D(14)]2
(11,13)	3	[D(11,2,1)]1
(11,13)	7	[D(11,13)]0 +[D(12,12)]1
(11,2,1)	3	[D(11,2,1)]0 +[D(11,3)+D(14)]1
(11,2,1)	11	[D(11,2,1)]0 +[D(12,12)]1
(11,2,1)	13	[D(11,2,1)]0 +[D(12,2)]1
(11,3)	2	[D(11,3)]0 +[D(12,2)]1 +[D(14)]2
(11,3)	5	[D(11,3)]0 +[D(12,2)]1
(11,3)	11	[D(11,3)]0 +[D(13,1)]1
(12,12)	2	[D(12,2)+2*D(14)]1 +[D(13,1)]2
(12,12)	7	[D(12,12)]0 +[D(13,1)]1
(12,2)	2	[D(12,2)]0 +[D(14)]1 +[D(13,1)]2
(12,2)	3	[D(12,2)]0 +[D(13,1)]1
(12,2)	13	[D(12,2)]0 +[D(14)]1
(13,1)	2	[D(13,1)]0 +[D(14)]1
(13,1)	7	[D(13,1)]0 +[D(14)]1

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