Frank Lübeck   

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Elementary Divisors for Partitions of n = 12

PartitionSpecht degreeelementary divisors
(23,16)154[26*33*5] [26*33*52]9 [26*34*52] [26*35*52]33 [27*35*52]10 [29*35*52]100 
(24,14)275[27*33] [27*34]9 [29*34]44 [29*34*7]57 [210*34*7]33 [210*35*7]131 
(25,12)297[27*32*5] [28*32*5]10 [28*32*5*7]142 [28*32*52*7]12 [29*32*52*7]100 [210*32*52*7]32 
(26)132[26*33*5] [26*33*5*7]42 [26*33*52*7]57 [27*33*52*7]31 [27*34*52*7] 
(3,2,17)320[24*32*5*7]10 [24*33*5*7]43 [24*33*5*7*11]2 [24*34*5*7*11]145 [24*35*5*7*11]120 
(3,22,15)891[25*3*5]10 [27*3*5]143 [27*3*52]2 [28*3*52]164 [29*3*52] [29*3*52*7] [210*3*52*7]570 
(3,23,13)1408[23*32]55 [23*32*7]88 [23*33*7]10 [23*33*5*7]122 [23*34*5*7]120 [23*35*5*7]641 [23*35*52*7]372 
(3,24,1)1155[25*32]100 [26*32]31 [26*33]165 [27*33] [29*33]23 [29*33*5]547 [210*33*5]278 [210*34*5]10 
(32,16)616[25*32*5]43 [25*32*52] [26*32*52]101 [26*33*52]120 [26*34*52]141 [26*35*52]210 
(32,2,14)1925[26*3]143 [26*32] [26*33]261 [26*34]331 [27*34]101 [29*34]42 [210*34]794 [210*35]252 
(32,22,12)2673[24]43 [24*5]121 [25*5]101 [27*5]451 [27*52]161 [28*52]476 [28*52*7]858 [29*52*7]46 [210*52*7]416 
(32,23)1320[24*32]55 [24*32*5]231 [24*32*5*7]284 [25*32*5*7]334 [26*32*5*7]109 [26*33*5*7]262 [26*34*5*7]45 
(33,13)1650[24*32]100 [26*32]42 [27*32]429 [27*32*7]487 [27*33*7]174 [28*33*7]208 [28*34*7]210 
(33,2,1)2112[23*3]11 [23*3*5]210 [23*3*5*7]99 [24*3*5*7]693 [24*32*5*7]513 [24*33*5*7]442 [24*33*52*7]24 [24*34*52*7]120 
(34)462[25*3] [25*3*5]43 [26*3*5]87 [26*32*5]211 [26*33*5]31 [26*33*52]89 
(4,2,16)945[24*32*5]44 [26*32*5]121 [27*32*5]102 [27*32*5*11]468 [28*32*5*11]2 [29*32*5*11]208 
(4,22,14)2376[24*3]165 [24*3*7]407 [25*3*7]166 [25*3*5*7]207 [25*32*5*7] [26*32*5*7]164 [26*32*52*7]1266 
(4,23,12)3080[23*32]164 [24*32]781 [24*32*5]68 [24*33*5]120 [24*34*5]11 [24*35*5]1022 [25*35*5]498 [26*35*5]416 
(4,24)1485[24*3]131 [24*3*7]34 [24*3*5*7]405 [25*3*5*7]288 [26*3*5*7] [27*3*5*7]210 [28*3*5*7]362 [28*32*5*7]54 
(4,3,15)2079[23*3*5]351 [23*32*5]219 [24*32*5]2 [25*32*5] [25*32*52]207 [26*32*52] [27*32*52]1046 [28*32*52]252 
(4,3,2,13)5632[2*3]573 [2*3*5]485 [2*32*5]513 [2*33*5]341 [2*34*5]299 [2*34*5*7]1825 [2*34*52*7]168 [2*35*52*7]1428 
(4,3,22,1)5775[22]570 [23]288 [24]47 [25]108 [25*3]503 [25*32]1015 [26*32]42 [27*32]278 [28*32]416 [29*32]140 [210*32]675 [210*33]1550 [210*34]143 
(4,32,12)4158[24]1090 [25]341 [25*3]119 [27*3]220 [28*3]187 [28*3*5]473 [28*32*5]1356 [28*32*52]372 
(4,32,2)2970[23]44 [24]253 [24*3]165 [25*3]120 [26*3]1309 [26*3*7]134 [26*32*7]110 [26*32*5*7]835 
(42,14)1925[24*3]141 [24*32]210 [24*33]146 [24*34]549 [25*34]252 [27*34]419 [28*34]208 
(42,2,12)4455[22]891 [22*3]155 [23*3]42 [25*3]177 [25*3*5]442 [26*3*5]240 [27*3*5]1474 [27*3*5*7]934 [28*3*5*7]100 
(42,22)2640[23]131 [23*3]353 [23*32]836 [23*32*5*7]836 [23*33*5*7]353 [23*34*5*7]131 
(42,3,1)2970[23]835 [23*5]110 [23*3*5]134 [23*3*5*7]1309 [24*3*5*7]120 [25*3*5*7]165 [25*32*5*7]253 [26*32*5*7]44 
(43)462[23*3]89 [23*3*5]31 [23*32*5]211 [23*33*5]87 [24*33*5]43 [24*33*52
(5,2,15)1728[23*3*5]330 [23*3*5*7]348 [23*3*5*7*11]588 [23*3*52*7*11]462 
(5,22,13)3696[23*3]120 [23*32]1146 [23*32*5]164 [24*32*5]670 [24*32*52]166 [25*32*52]2 [25*33*52]1428 
(5,23,1)3520[22*3]330 [22*3*5]1024 [22*3*5*7]374 [23*3*5*7]208 [23*32*5*7]11 [23*33*5*7]1428 [23*34*5*7]145 
(5,3,14)3564[23*3]1046 [24*3]352 [24*3*7]108 [24*3*5*7]210 [25*3*5*7]418 [26*3*5*7]968 [26*3*52*7]462 
(5,3,2,12)7700[2]1046 [22]460 [23]44 [24]386 [24*3]1560 [24*32]354 [24*33]354 [24*34]1560 [24*35]386 [25*35]44 [26*35]460 [27*35]1046 
(5,3,22)4455[22]100 [23]934 [23*7]1474 [24*7]240 [25*7]442 [25*5*7]177 [27*5*7]42 [28*5*7]155 [28*3*5*7]891 
(5,32,1)4158[2]372 [2*5]1356 [2*3*5]473 [2*3*52]187 [22*3*52]220 [24*3*52]119 [24*32*52]341 [25*32*52]1090 
(5,4,13)3520[2*3]145 [2*32]1428 [2*33]11 [2*34]208 [22*34]374 [22*34*7]1024 [22*34*5*7]330 
(5,4,2,1)5775[1]143 [3]1550 [32]675 [2*32]140 [22*32]416 [23*32]278 [24*32]42 [25*32]1015 [25*33]503 [25*34]108 [26*34]47 [27*34]288 [28*34]570 
(5,4,3)2112[1]120 [3]24 [3*5]442 [32*5]513 [33*5]693 [2*33*5]99 [2*33*5*7]210 [2*33*52*7]11 
(52,12)1485[22]54 [22*3]362 [23*3]210 [24*3] [25*3]288 [26*3]405 [26*3*5]34 [26*3*5*7]131 
(52,2)1320[2]45 [2*3]262 [2*32]109 [22*32]334 [23*32]284 [23*32*7]231 [23*32*5*7]55 
(6,2,14)2100[23*3]208 [24*3]2 [24*32]840 [24*32*11]840 [24*33*11]2 [25*33*11]208 
(6,22,12)3564[22]462 [22*5]968 [23*5]418 [24*5]210 [24*52]108 [24*52*7]352 [25*52*7]1046 
(6,23)1925[22*3]208 [23*3]419 [25*3]252 [26*3]549 [26*32]146 [26*33]210 [26*34]141 
(6,3,13)3696[2*3]1428 [2*32]2 [22*32]166 [22*32*5]670 [23*32*5]164 [23*32*52]1146 [23*33*52]120 
(6,3,2,1)5632[1]1428 [3]168 [3*5]1825 [3*5*7]299 [32*5*7]341 [33*5*7]513 [34*5*7]485 [34*52*7]573 
(6,32)1650[2]210 [2*3]208 [22*3]174 [22*32]487 [22*32*7]429 [23*32*7]42 [25*32*7]100 
(6,4,12)3080[2]416 [22]498 [23]1022 [23*3]11 [23*32]120 [23*33]68 [23*33*5]781 [24*33*5]164 
(6,4,2)2673[1]416 [2]46 [22]858 [22*7]476 [23*7]161 [23*5*7]451 [25*5*7]101 [26*5*7]121 [26*52*7]43 
(6,5,1)1155[1]10 [3]278 [2*3]547 [2*3*5]23 [23*3*5] [24*3*5]165 [24*32*5]31 [25*32*5]100 
(62)132[2] [2*3]31 [22*3]57 [22*3*5]42 [22*3*5*7] 
(7,2,13)1728[2*3]462 [2*3*5]588 [2*3*5*11]348 [2*3*5*7*11]330 
(7,22,1)2079[22]252 [23]1046 [24] [25]207 [25*5] [26*5]2 [27*5]219 [27*3*5]351 
(7,3,12)2376[2]1266 [2*5]164 [22*5] [22*3*5]207 [22*3*52]166 [23*3*52]407 [23*3*52*7]165 
(7,3,2)1925[1]252 [3]794 [2*3]42 [23*3]101 [24*3]331 [24*32]261 [24*33] [24*34]143 
(7,4,1)1408[1]372 [5]641 [3*5]120 [32*5]122 [32*52]10 [33*52]88 [33*52*7]55 
(7,5)297[1]32 [2]100 [22]12 [22*5]142 [22*5*7]10 [23*5*7] 
(8,2,12)945[2]208 [22]2 [23]468 [23*11]102 [24*11]121 [26*11]44 
(8,22)616[2]210 [2*3]141 [2*32]120 [2*33]101 [22*33] [22*33*5]43 
(8,3,1)891[1]570 [2] [2*7] [22*7]164 [23*7]2 [23*5*7]143 [25*5*7]10 
(8,4)275[1]131 [3]33 [2*3]57 [2*3*7]44 [23*3*7]9 [23*32*7] 
(9,2,1)320[1]120 [3]145 [32]2 [32*11]43 [33*11]10 
(9,3)154[1]100 [22]10 [23]33 [23*3] [23*32]9 [23*32*5] 

Known Jantzen Filtrations

PartitionPrime Jantzen Filtration
(112)2 [D(12)]10
(112)3 [D(62)]5
(112)5 [D(34)]2
(112)7 [D(26)]1
(112)11 [D(22,18)]1
(2,110)2 [D(12)]8 +[D(11,1)]10
(2,110)3 [D(62)]4 +[D(6,5,1)]5
(2,110)5 [D(33,2,1)]2
(2,110)7 [D(25,12)]1
(22,18)2 [D(11,1)]8 +[D(10,2)]9
(22,18)3 [D(52,12)]2
(22,18)5 [D(33,2,1)]1 +[D(32,22,12)]2
(22,18)7 [D(24,14)]1
(22,18)11 [D(22,18)]0 +[D(3,2,17)]1
(23,16)2 [D(10,2)]6 +[D(11,1)]7 +[D(9,3)]9
(23,16)3 [D(6,5,1)]3 +[D(62)]4 +[D(5,4,2,1)]5
(23,16)5 [D(34)]1 +[D(3,23,13)]2
(24,14)2 [D(11,1)]7 +[D(9,3)+D(12)]9 +[D(8,4)]10
(24,14)3 [D(62)]3 +[D(5,4,2,1)]4 +[D(42,22)]5
(24,14)7 [D(24,14)]0 +[D(33,2,1)]1
(25,12)2 [D(12)]7 +[D(8,4)]8 +[D(9,3)]9 +[D(7,5)]10
(25,12)3 [D(4,32,2)]2
(25,12)5 [D(3,23,13)]1 +[D(5,4,3)]2
(25,12)7 [D(25,12)]0 +[D(32,23)]1
(26)2 [D(9,3)]6 +[D(7,5)]7
(26)3 [D(42,22)]3 +[D(12)]4
(26)5 [D(32,22,12)]1 +[D(43)]2
(26)7 [D(26)]0 +[D(4,24)]1
(3,19)2 [D(11,1)]7 +[D(10,2)+D(12)]9
(3,19)3 [D(6,5,1)]4 +[D(52,2)]5
(3,19)5 [D(32,23)]1
(3,19)7 [D(3,23,13)]1
(3,2,17)2 [D(9,2,1)]4
(3,2,17)3 [D(6,5,1)]2 +[D(52,2)]3 +[D(5,4,2,1)+2*D(62)]4 +[D(5,4,3)]5
(3,2,17)5 [D(3,24,1)]1
(3,2,17)7 [D(3,22,15)]1
(3,2,17)11 [D(3,2,17)]0 +[D(4,2,16)]1
(3,22,15)2 [D(11,1)]5 +[D(9,3)+D(10,2)+D(12)]7 +[D(8,4)]8 +[2*D(12)]9 +[D(8,3,1)]10
(3,22,15)3 [D(42,2,12)]1
(3,22,15)5 [D(3,23,13)]1 +[D(4,22,14)]2
(3,22,15)7 [D(3,22,15)]0 +[D(33,13)]1
(3,23,13)2 [D(7,4,1)]3
(3,23,13)3 [D(5,4,2,1)]2 +[D(42,22)+D(62)]3 +[D(5,4,3)]4 +[D(4,3,22,1)]5
(3,23,13)5 [D(3,23,13)]0 +[D(34)+D(4,22,14)+D(5,4,3)]1 +[D(5,32,1)]2
(3,23,13)7 [D(3,23,13)]0 +[D(32,22,12)]1
(3,24,1)2 [D(9,3)]5 +[D(7,5)+D(8,4)]6 +[D(12)]7 +[D(8,3,1)]9 +[D(6,5,1)]10
(3,24,1)3 [D(42,22)]2 +[D(4,3,22,1)+D(12)]3 +[D(11,1)]4
(3,24,1)5 [D(3,24,1)]0 +[D(42,3,1)]1
(32,16)2 [D(10,2)]5 +[D(8,3,1)+2*D(12)]6
(32,16)3 [D(5,4,2,1)+2*D(62)]2 +[D(5,4,3)]3 +[D(42,22)+D(6,5,1)]4 +[D(6,32)]5
(32,16)5 [D(32,22,12)]1 +[D(4,3,2,13)]2
(32,2,14)2 [D(8,3,1)+D(8,4)+2*D(12)]6 +[D(9,3)+D(12)]7 +[D(7,5)+D(11,1)]9 +[D(7,3,2)]10
(32,2,14)3 [D(5,4,2,1)]1 +[D(62)]2 +[D(42,22)+D(5,4,3)+D(6,5,1)]3 +[D(4,3,22,1)+D(52,2)+D(6,32)]4 +[D(7,3,2)]5
(32,22,12)2 [D(8,4)]4 +[D(9,3)+D(12)]5 +[D(7,5)+D(8,3,1)+D(11,1)]7 +[D(6,5,1)+D(7,3,2)]8 +[D(10,2)+2*D(12)]9 +[D(6,4,2)]10
(32,22,12)5 [D(32,22,12)]0 +[D(33,2,1)+D(4,3,2,13)+D(43)]1 +[D(4,32,12)]2
(32,22,12)7 [D(32,22,12)]0 +[D(42,22)]1
(32,23)2 [D(8,3,1)]4 +[D(6,5,1)+D(10,2)+2*D(12)]5 +[D(6,4,2)]6
(32,23)3 [D(4,3,22,1)]2 +[D(7,3,2)+D(11,1)]3 +[D(10,12)]4
(32,23)5 [D(32,23)]0 +[D(42,2,12)]1
(32,23)7 [D(32,23)]0 +[D(5,3,22)]1
(33,13)2 [D(9,3)]4 +[D(7,5)+D(11,1)]6 +[D(7,3,2)+D(10,2)]7 +[D(6,4,2)+2*D(12)]8
(33,13)3 [D(4,3,22,1)+D(52,2)]2 +[D(5,4,3)+D(7,3,2)+D(11,1)]3 +[D(8,22)]4
(33,13)7 [D(33,13)]0 +[D(42,3,1)]1
(33,2,1)2 [D(9,2,1)]3 +[D(5,4,3)]4
(33,2,1)5 [D(33,2,1)]0 +[D(4,32,12)]1 +[D(7,5)]2
(33,2,1)7 [D(33,2,1)]0 +[D(4,32,2)]1
(34)2 [D(10,2)]5 +[D(6,4,2)+2*D(12)]6
(34)3 [D(42,22)]1 +[D(6,32)+D(12)]2 +[D(9,2,1)]3
(34)5 [D(34)]0 +[D(5,32,1)]1 +[D(62)]2
(4,18)2 [D(10,2)+D(12)]7 +[D(9,3)+2*D(11,1)]9
(4,18)3 [D(52,2)]2 +[D(5,4,3)]3
(4,18)5 [D(4,24)]1
(4,18)7 [D(4,22,14)]1
(4,2,16)2 [D(10,2)]4 +[D(9,3)+2*D(11,1)+D(12)]6 +[D(8,3,1)]7 +[2*D(12)]8 +[D(8,4)+D(10,2)]9
(4,2,16)3 [D(42,3,1)]2
(4,2,16)5 [D(4,23,12)]1
(4,2,16)11 [D(4,2,16)]0 +[D(5,2,15)]1
(4,22,14)3 [D(42,3,1)]1 +[D(4,32,12)]2
(4,22,14)5 [D(4,22,14)]0 +[D(5,32,1)]1 +[D(5,22,13)]2
(4,22,14)7 [D(4,22,14)]0 +[D(4,3,2,13)]1
(4,23,12)3 [D(4,3,22,1)]2 +[D(5,4,3)]3 +[D(62)+D(11,1)]4 +[D(5,3,2,12)]5
(4,23,12)5 [D(4,23,12)]0 +[D(4,32,2)]1
(4,24)2 [D(8,3,1)]4 +[D(6,5,1)]5 +[D(12)]6 +[D(8,4)+D(10,2)+2*D(12)]7 +[D(6,4,2)]8
(4,24)3 [D(4,32,12)]1 +[D(10,2)]2
(4,24)5 [D(4,24)]0 +[D(42,22)]1
(4,24)7 [D(4,24)]0 +[D(5,23,1)]1
(4,3,15)2 [D(8,3,1)]3 +[2*D(12)]4 +[D(8,4)+D(10,2)]5 +[D(12)]6 +[D(7,3,2)]7 +[D(7,5)+2*D(9,3)+2*D(11,1)]8
(4,3,15)3 [D(4,32,2)+D(52,12)]1 +[D(5,32,1)]2
(4,3,15)5 [D(4,3,2,13)]1 +[D(5,3,14)]2
(4,3,2,13)2 [D(6,3,2,1)]1
(4,3,2,13)5 [D(4,3,2,13)]0 +[D(4,32,12)+D(5,3,14)]1 +[D(6,3,13)]2
(4,3,2,13)7 [D(4,3,2,13)]0 +[D(42,2,12)]1
(4,3,22,1)2 [D(8,3,1)]2 +[D(6,5,1)]3 +[D(10,2)+3*D(12)]4 +[D(6,4,2)+D(7,3,2)+D(8,4)]5 +[D(7,5)+D(11,1)]6 +[D(7,5)+2*D(9,3)+D(10,2)+2*D(12)]7 +[D(6,4,2)]8 +[D(9,3)+4*D(11,1)]9 +[D(5,4,2,1)]10
(4,32,12)3 [D(4,32,12)]0 +[D(42,3,1)+D(10,2)]1 +[D(7,22,1)]2
(4,32,12)5 [D(4,32,12)]0 +[D(43)+D(6,3,13)+D(7,5)]1 +[D(7,4,1)]2
(4,32,2)2 [D(10,2)]3 +[D(6,4,2)+2*D(12)]4 +[D(9,3)+2*D(11,1)]5 +[D(5,4,2,1)+2*D(11,1)]6
(4,32,2)3 [D(4,32,2)]0 +[D(5,32,1)]1 +[D(8,2,12)]2
(4,32,2)5 [D(4,32,2)]0 +[D(6,5,1)]1
(4,32,2)7 [D(4,32,2)]0 +[D(6,32)]1
(42,14)2 [D(7,3,2)]4 +[D(7,5)+2*D(9,3)+2*D(11,1)]5 +[D(6,4,2)+3*D(12)]7 +[D(8,4)+D(10,2)]8
(42,14)3 [D(42,22)+D(6,5,1)]1 +[D(6,32)]2 +[D(5,4,2,1)+2*D(62)+D(12)]3 +[D(6,3,2,1)]4
(42,2,12)2 [D(7,3,2)]2 +[D(7,5)+D(11,1)]3 +[D(6,4,2)+2*D(9,3)+3*D(12)]5 +[D(7,5)+D(8,4)+D(10,2)]6 +[D(5,4,2,1)+4*D(11,1)]7 +[D(9,3)]8
(42,2,12)3 [D(42,2,12)]0 +[D(6,22,12)]1
(42,2,12)5 [D(42,2,12)]0 +[D(5,4,13)]1
(42,2,12)7 [D(42,2,12)]0 +[D(52,2)]1
(42,22)2 [D(5,4,2,1)+D(7,5)+2*D(9,3)+4*D(11,1)]3
(42,22)5 [D(42,22)]0 +[D(52,12)]1
(42,22)7 [D(42,22)]0 +[D(6,4,2)]1
(42,3,1)2 [D(5,4,2,1)+2*D(11,1)]3 +[D(9,3)+2*D(11,1)]4 +[D(6,4,2)+2*D(12)]5 +[D(10,2)]6
(42,3,1)3 [D(42,3,1)]0 +[D(7,22,1)]1 +[D(7,5)]2
(42,3,1)5 [D(42,3,1)]0 +[D(6,4,12)]1
(42,3,1)7 [D(42,3,1)]0 +[D(5,4,3)]1
(43)2 [D(6,4,2)+2*D(12)]3 +[D(10,2)]4
(43)3 [D(5,4,3)]1 +[D(62)+D(8,22)]2 +[D(8,4)]3
(43)5 [D(43)]0 +[D(7,4,1)]1 +[D(12)]2
(5,17)2 [D(9,3)+2*D(11,1)]4 +[D(8,4)+D(10,2)+2*D(12)]6
(5,17)3 [D(5,4,3)]2 +[D(6,32)]3
(5,17)5 [D(5,23,1)]1
(5,17)7 [D(5,2,15)]1
(5,2,15)2 [D(7,4,1)+D(9,2,1)]3
(5,2,15)3 [D(5,32,1)]1
(5,2,15)5 [D(5,22,13)]1 +[D(6,22,12)]2
(5,2,15)7 [D(5,2,15)]0 +[D(5,3,14)]1
(5,2,15)11 [D(5,2,15)]0 +[D(6,2,14)]1
(5,22,13)3 [D(5,4,3)]1 +[D(5,3,2,12)+D(6,32)+2*D(62)]2 +[D(6,3,2,1)]3
(5,22,13)5 [D(5,22,13)]0 +[D(5,32,1)+D(6,22,12)]1 +[D(6,3,2,1)]2
(5,23,1)2 [D(7,4,1)+D(9,2,1)]2 +[D(5,4,3)]3
(5,23,1)5 [D(5,23,1)]0 +[D(5,3,22)]1
(5,23,1)7 [D(5,23,1)]0 +[D(6,22,12)]1
(5,3,14)3 [D(5,3,22)]1
(5,3,14)5 [D(5,3,14)]0 +[D(6,3,13)]1 +[D(7,2,13)]2
(5,3,14)7 [D(5,3,14)]0 +[D(5,4,13)]1
(5,3,22)2 [D(9,3)]2 +[D(5,4,2,1)+4*D(11,1)]3 +[D(7,5)+D(8,4)+D(10,2)]4 +[D(6,4,2)+2*D(9,3)+3*D(12)]5 +[D(7,5)+D(11,1)]7 +[D(7,3,2)]8
(5,3,22)3 [D(5,3,22)]0 +[D(8,3,1)]1
(5,3,22)5 [D(5,3,22)]0 +[D(52,2)]1
(5,3,22)7 [D(5,3,22)]0 +[D(6,3,2,1)]1
(5,32,1)3 [D(5,32,1)]0 +[D(52,12)+D(8,2,12)]1 +[D(7,3,12)]2
(5,32,1)5 [D(5,32,1)]0 +[D(5,4,3)+D(6,3,2,1)+D(62)]1 +[D(6,4,2)]2
(5,4,13)2 [D(5,4,3)]1 +[D(7,4,1)+D(9,2,1)]2
(5,4,13)5 [D(5,4,13)]0 +[D(8,14)]1
(5,4,13)7 [D(5,4,13)]0 +[D(52,12)]1
(5,4,2,1)2 [D(5,4,2,1)]0 +[D(9,3)+4*D(11,1)]1 +[D(6,4,2)]2 +[D(7,5)+2*D(9,3)+D(10,2)+2*D(12)]3 +[D(7,5)+D(11,1)]4 +[D(6,4,2)+D(7,3,2)+D(8,4)]5 +[D(10,2)+3*D(12)]6 +[D(6,5,1)]7 +[D(8,3,1)]8
(5,4,3)2 [D(5,4,3)]0 +[D(9,2,1)]1
(5,4,3)3 [D(5,4,3)]0 +[D(52,2)+D(6,32)+D(62)+D(8,22)]1 +[D(6,5,1)+D(7,3,2)+D(8,4)+D(9,2,1)]2 +[D(7,4,1)]3
(5,4,3)5 [D(5,4,3)]0 +[D(6,4,2)]1 +[D(11,1)]2
(5,4,3)7 [D(5,4,3)]0 +[D(8,4)]1
(52,12)2 [D(6,4,2)]2 +[D(8,4)+D(10,2)+2*D(12)]3 +[D(12)]4 +[D(6,5,1)]5 +[D(8,3,1)]6
(52,12)3 [D(52,12)]0 +[D(7,3,12)]1
(52,12)5 [D(52,12)]0 +[D(9,13)]1
(52,12)7 [D(52,12)]0 +[D(62)]1
(52,2)2 [D(6,4,2)]1 +[D(6,5,1)+D(10,2)+2*D(12)]2 +[D(8,3,1)]3
(52,2)3 [D(52,2)]0 +[D(6,5,1)+D(7,3,2)]1 +[D(7,4,1)]2
(52,2)5 [D(52,2)]0 +[D(10,12)]1
(52,2)7 [D(52,2)]0 +[D(7,5)]1
(6,16)3 [D(6,32)]2 +[D(7,3,2)]3
(6,16)5 [D(6,22,12)]1
(6,2,14)11 [D(6,2,14)]0 +[D(7,2,13)]1
(6,22,12)5 [D(6,22,12)]0 +[D(6,3,2,1)]1 +[D(7,22,1)]2
(6,22,12)7 [D(6,22,12)]0 +[D(7,2,13)]1
(6,23)2 [D(8,4)+D(10,2)]2 +[D(6,4,2)+3*D(12)]3 +[D(7,5)+2*D(9,3)+2*D(11,1)]5 +[D(7,3,2)]6
(6,23)3 [D(6,3,2,1)]1 +[D(62)+D(9,3)+2*D(12)]2 +[D(8,22)]3 +[D(8,4)+D(11,1)]4
(6,3,13)3 [D(6,3,2,1)]1 +[D(6,4,12)+D(8,22)+2*D(12)]2 +[D(9,2,1)]3
(6,3,13)5 [D(6,3,13)]0 +[D(7,2,13)+D(7,4,1)]1 +[D(7,3,12)]2
(6,3,2,1)5 [D(6,3,2,1)]0 +[D(6,4,2)+D(7,22,1)]1 +[D(8,22)]2
(6,3,2,1)7 [D(6,3,2,1)]0 +[D(7,3,12)]1
(6,32)2 [D(6,4,2)+2*D(12)]1 +[D(7,3,2)+D(10,2)]2 +[D(7,5)+D(11,1)]3 +[D(9,3)]5
(6,32)3 [D(6,32)]0 +[D(6,5,1)+D(7,3,2)+D(9,2,1)]1 +[D(7,4,1)+D(10,12)]2
(6,32)7 [D(6,32)]0 +[D(8,3,1)]1
(6,4,12)3 [D(6,4,12)]0 +[D(6,5,1)+D(12)]1 +[D(9,2,1)]2 +[D(7,4,1)]3
(6,4,12)5 [D(6,4,12)]0 +[D(8,2,12)]1
(6,4,2)2 [D(6,4,2)]0 +[D(10,2)+2*D(12)]1 +[D(6,5,1)+D(7,3,2)]2 +[D(7,5)+D(8,3,1)+D(11,1)]3 +[D(9,3)+D(12)]5 +[D(8,4)]6
(6,4,2)5 [D(6,4,2)]0 +[D(62)+D(8,22)+D(11,1)]1 +[D(10,2)]2
(6,4,2)7 [D(6,4,2)]0 +[D(7,4,1)]1
(6,5,1)2 [D(6,5,1)]0 +[D(8,3,1)]1 +[D(12)]3 +[D(7,5)+D(8,4)]4 +[D(9,3)]5
(6,5,1)3 [D(6,5,1)]0 +[D(62)+D(7,4,1)]1 +[D(8,4)]2
(6,5,1)5 [D(6,5,1)]0 +[D(9,2,1)]1
(62)2 [D(7,5)]1 +[D(9,3)]2
(62)3 [D(62)]0 +[D(8,4)]1
(62)5 [D(62)]0 +[D(10,2)]1
(62)7 [D(62)]0 +[D(12)]1
(7,15)3 [D(7,3,2)]1 +[D(8,22)]2
(7,15)5 [D(7,2,13)]1
(7,2,13)2 [D(7,4,1)+D(9,2,1)]1
(7,2,13)3 [D(7,22,1)]1
(7,2,13)5 [D(7,2,13)]0 +[D(7,3,12)]1
(7,2,13)7 [D(7,2,13)]0 +[D(8,14)]1
(7,2,13)11 [D(7,2,13)]0 +[D(8,2,12)]1
(7,22,1)2 [D(7,5)+2*D(9,3)+2*D(11,1)]2 +[D(7,3,2)]3 +[D(12)]4 +[D(8,4)+D(10,2)]5 +[2*D(12)]6 +[D(8,3,1)]7
(7,22,1)3 [D(7,22,1)]0 +[D(7,5)+D(10,2)]1
(7,22,1)5 [D(7,22,1)]0 +[D(8,22)]1
(7,3,12)3 [D(7,3,12)]0 +[D(8,2,12)]1
(7,3,12)5 [D(7,3,12)]0 +[D(7,4,1)]1 +[D(8,3,1)]2
(7,3,12)7 [D(7,3,12)]0 +[D(9,13)]1
(7,3,2)2 [D(7,3,2)]0 +[D(7,5)+D(11,1)]1 +[D(9,3)+D(12)]3 +[D(8,3,1)+D(8,4)+2*D(12)]4
(7,3,2)3 [D(7,3,2)]0 +[D(7,4,1)+D(8,22)+D(10,12)]1 +[D(8,4)+D(9,2,1)+D(11,1)]2 +[D(12)]3 +[D(9,3)]4
(7,4,1)3 [D(7,4,1)]0 +[D(9,2,1)]1 +[D(8,4)+D(12)]2 +[D(9,3)]3
(7,4,1)5 [D(7,4,1)]0 +[D(7,5)+D(8,3,1)+D(12)]1 +[D(9,3)]2
(7,4,1)7 [D(7,4,1)]0 +[D(10,12)]1
(7,5)2 [D(7,5)]0 +[D(9,3)]1 +[D(8,4)]2 +[D(12)]3
(7,5)5 [D(7,5)]0 +[D(9,3)]1
(7,5)7 [D(7,5)]0 +[D(11,1)]1
(8,14)2 [D(8,4)+D(10,2)+2*D(12)]3 +[D(9,3)+2*D(11,1)]5
(8,14)3 [D(8,22)]1 +[D(9,2,1)]2
(8,2,12)2 [D(8,4)+D(10,2)]1 +[2*D(12)]2 +[D(8,3,1)]3 +[D(9,3)+2*D(11,1)+D(12)]4 +[D(10,2)]6
(8,2,12)11 [D(8,2,12)]0 +[D(9,2,1)]1
(8,22)2 [D(8,3,1)+2*D(12)]1 +[D(10,2)]2
(8,22)3 [D(8,22)]0 +[D(8,4)+D(11,1)]1 +[D(9,2,1)]2 +[D(9,3)+2*D(12)]3
(8,22)5 [D(8,22)]0 +[D(10,2)]1
(8,3,1)2 [D(8,3,1)]0 +[2*D(12)]1 +[D(8,4)]2 +[D(9,3)+D(10,2)+D(12)]3 +[D(11,1)]5
(8,3,1)5 [D(8,3,1)]0 +[D(9,3)]1
(8,3,1)7 [D(8,3,1)]0 +[D(9,2,1)]1
(8,4)2 [D(8,4)]0 +[D(9,3)+D(12)]1 +[D(11,1)]3
(8,4)3 [D(8,4)]0 +[D(9,3)]1 +[D(12)]2
(8,4)7 [D(8,4)]0 +[D(10,2)]1
(9,13)2 [D(9,3)+2*D(11,1)]1 +[D(10,2)+D(12)]3
(9,13)3 [D(9,2,1)]1 +[D(10,12)]2
(9,2,1)3 [D(9,2,1)]0 +[D(9,3)+2*D(12)]1 +[D(10,12)]2 +[D(11,1)]3
(9,2,1)11 [D(9,2,1)]0 +[D(10,2)]1
(9,3)2 [D(9,3)]0 +[D(11,1)]2 +[D(10,2)]3
(9,3)3 [D(9,3)]0 +[D(12)]1 +[D(11,1)]2
(9,3)5 [D(9,3)]0 +[D(12)]1
(10,12)2 [D(10,2)+D(12)]1 +[D(11,1)]3
(10,12)3 [D(10,12)]0 +[D(11,1)]1
(10,2)2 [D(10,2)]0 +[D(11,1)]1
(10,2)5 [D(10,2)]0 +[D(11,1)]1
(10,2)11 [D(10,2)]0 +[D(12)]1
(11,1)2 [D(11,1)]0 +[D(12)]2
(11,1)3 [D(11,1)]0 +[D(12)]1

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