Frank Lübeck   

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Elementary Divisors for Partitions of n = 17

PartitionSpecht degreeelementary divisors
(23,111)544[210*36*52*7*11] [210*36*53*7*11]15 [210*36*53*72*11]103 [210*36*53*72*11*13]425 
(24,19)1700[212*35*5*7] [212*35*5*72]15 [212*35*5*72*13]87 [212*36*5*72*13]15 [213*36*5*72*13]426 [213*36*5*72*11*13]1156 
(25,17)3808[210*34*52*7] [210*34*52*7*13]118 [210*34*52*7*11*13]424 [210*34*53*7*11*13]1054 [210*35*53*7*11*13]103 [210*36*53*7*11*13]2108 
(26,15)6188[211*35*52]16 [211*35*52*11]87 [211*35*53*11]441 [211*36*53*11]1038 [212*36*53*11]118 [213*36*53*11]2108 [213*36*53*7*11]2380 
(27,13)7072[29*34*52*7] [29*34*52*7*11]102 [29*35*52*7*11]441 [210*35*52*7*11]1155 [210*35*52*72*11]528 [210*36*52*72*11]3858 [210*36*53*72*11]987 
(28,1)4862[212*34*52*7]16 [212*35*52*7]102 [213*35*52*7]410 [213*35*52*72]2737 [213*35*53*72]1341 [214*35*53*72]255 [214*36*53*72] 
(3,2,112)1105[210*35*52*7*11]118 [213*35*52*7*11] [215*35*52*7*11] [215*35*52*72*11]425 [215*36*52*72*11]560 
(3,22,110)5236[210*34*52*7]118 [211*34*52*7]2 [211*34*52*7*13]423 [211*34*53*7*13] [211*35*53*7*13]560 [211*36*53*7*13]1582 [212*36*53*7*13]2 [213*36*53*7*13]2548 
(32,111)3536[29*34*52*7*11]103 [29*35*53*7*11]882 [29*35*53*72*11] [210*35*53*72*11]730 [210*36*53*72*11]1820 
(4,2,111)5355[28*34*52*7*11]560 [28*34*52*7*11*13]426 [210*34*52*7*11*13] [212*34*52*7*11*13]2548 [213*34*52*7*11*13]2 [214*34*52*7*11*13]1818 
(9,8)4862[1] [3]255 [2*3]1341 [2*3*5]2737 [2*3*5*7]410 [22*3*5*7]102 [22*32*5*7]16 
(10,7)7072[1]987 [5]3858 [3*5]528 [3*5*7]1155 [2*3*5*7]441 [2*32*5*7]102 [2*32*5*7*11] 
(11,6)6188[1]2380 [7]2108 [2*7]118 [22*7]1038 [22*3*7]441 [22*3*5*7]87 [22*3*5*7*11]16 
(12,5)3808[1]2108 [3]103 [32]1054 [32*5]424 [32*5*11]118 [32*5*11*13] 
(13,2,12)5355[2]1818 [22]2 [23]2548 [25] [27]426 [27*13]560 
(13,22)3536[2]1820 [2*3]730 [22*3] [22*3*7]882 [22*32*5*7]103 
(13,3,1)5236[1]2548 [2]2 [22]1582 [22*3]560 [22*32] [22*32*5]423 [22*32*5*13]2 [23*32*5*13]118 
(13,4)1700[1]1156 [11]426 [2*11]15 [2*3*11]87 [2*3*11*13]15 [2*3*7*11*13] 
(14,2,1)1105[1]560 [3]425 [3*7] [22*3*7] [25*3*7]118 
(14,3)544[1]425 [13]103 [7*13]15 [5*7*13] 

Known Jantzen Filtrations

PartitionPrime Jantzen Filtration
(2,115)5 [D(44,1)]3
(2,115)11 [D(26,15)]1
(2,115)13 [D(24,19)]1
(2,115)17 [D(2,115)]0 +[D(3,114)]1
(22,113)5 [D(44,1)]2 +[D(43,3,12)]3
(22,113)11 [D(25,17)]1
(22,113)13 [D(23,111)]1
(23,111)5 [D(5,43)]2 +[D(42,32,13)]3
(23,111)11 [D(24,19)]1
(23,111)13 [D(23,111)]0 +[D(33,18)]1
(24,19)5 [D(4,33,14)]1
(24,19)11 [D(24,19)]0 +[D(34,15)]1
(24,19)13 [D(24,19)]0 +[D(32,22,17)]1
(25,17)5 [D(42,32,13)]2 +[D(34,2,13)]3
(25,17)11 [D(25,17)]0 +[D(33,22,14)]1
(25,17)13 [D(25,17)]0 +[D(3,24,16)]1
(28,1)5 [D(34,2,13)]2 +[D(62,5)]3
(3,114)5 [D(43,3,2)]2
(3,114)11 [D(3,24,16)]1
(3,114)13 [D(3,22,110)]1
(3,114)17 [D(3,114)]0 +[D(4,113)]1
(3,2,112)5 [D(42,32,2,1)]2
(3,2,112)11 [D(3,23,18)]1
(3,22,110)5 [D(42,32,13)]2 +[D(4,33,2,12)]3
(3,22,110)13 [D(3,22,110)]0 +[D(32,2,19)]1
(32,111)5 [D(43,3,12)]2 +[D(4,33,22)]3
(32,111)11 [D(32,2,19)]1
(4,113)5 [D(42,33)]2
(4,113)11 [D(4,23,17)]1
(4,113)13 [D(4,2,111)]1
(4,113)17 [D(4,113)]0 +[D(5,112)]1
(4,2,111)5 [D(4,34,1)]2
(4,2,111)11 [D(4,22,19)]1
(4,2,111)13 [D(4,2,111)]0 +[D(4,3,110)]1
(5,112)5 [D(5,34)]2
(5,112)11 [D(5,22,18)]1
(5,112)17 [D(5,112)]0 +[D(6,111)]1
(9,8)5 [D(9,8)]0 +[D(12,5)]1
(12,5)5 [D(12,5)]0 +[D(14,3)]1
(12,5)11 [D(12,5)]0 +[D(15,2)]1
(12,5)13 [D(12,5)]0 +[D(17)]1
(13,14)17 [D(13,14)]0 +[D(14,13)]1
(13,2,12)13 [D(13,2,12)]0 +[D(14,13)]1
(13,22)5 [D(13,22)]0 +[D(15,2)]1
(13,3,1)5 [D(13,3,1)]0 +[D(14,3)]1
(13,3,1)13 [D(13,3,1)]0 +[D(15,12)]1
(13,4)11 [D(13,4)]0 +[D(14,3)]1
(13,4)13 [D(13,4)]0 +[D(16,1)]1
(14,13)17 [D(14,13)]0 +[D(15,12)]1
(14,3)5 [D(14,3)]0 +[D(17)]1
(14,3)13 [D(14,3)]0 +[D(15,2)]1
(15,12)17 [D(15,12)]0 +[D(16,1)]1
(15,2)5 [D(15,2)]0 +[D(16,1)]1
(16,1)17 [D(16,1)]0 +[D(17)]1

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