| Acronym | lanquoh (old: rolinoh) |
| Name |
pentacontihexa-hecatonicosihexa-pentacosiheptacontihexa-exic heptacomb, rectified pentacontihexahecatonicosihexaexic heptacomb, Gosset heptacomb 03,3,1 |
| Confer |
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Incidence matrix according to Dynkin symbol
o3o3o3x3o3o3o *d3o (N → ∞) . . . . . . . . | 2520N ♦ 32 | 48 48 16 | 32 72 24 32 24 | 8 48 16 48 36 8 16 | 12 4 32 24 12 24 4 | 8 6 8 16 6 | 2 4 4 -------------------+-------+--------+----------------------+------------------------------------+---------------------------------------------+---------------------------------------+-----------------------+-------- . . . x . . . . | 2 | 40320N | 3 3 1 | 3 9 3 3 3 | 1 9 3 9 9 1 3 | 3 1 9 9 3 9 1 | 3 3 3 9 3 | 1 3 3 -------------------+-------+--------+----------------------+------------------------------------+---------------------------------------------+---------------------------------------+-----------------------+-------- . . o3x . . . . | 3 | 3 | 40320N * * | 2 3 1 0 0 | 1 6 2 3 3 0 0 | 3 1 6 6 1 3 0 | 3 3 2 6 1 | 1 3 2 . . . x3o . . . | 3 | 3 | * 40320N * | 0 3 0 2 1 | 0 3 0 6 3 1 2 | 1 0 6 3 3 6 1 | 2 1 3 6 3 | 1 2 3 . . . x . . . *d3o | 3 | 3 | * * 13440N | 0 0 3 0 3 | 0 0 3 0 9 0 3 | 0 1 0 9 0 9 1 | 0 3 0 9 3 | 0 3 3 -------------------+-------+--------+----------------------+------------------------------------+---------------------------------------------+---------------------------------------+-----------------------+-------- . o3o3x . . . . ♦ 4 | 6 | 4 0 0 | 20160N * * * * | 1 3 1 0 0 0 0 | 3 1 3 3 0 0 0 | 3 3 1 3 0 | 1 3 1 . . o3x3o . . . ♦ 6 | 12 | 4 4 0 | * 30240N * * * | 0 2 0 2 1 0 0 | 1 0 4 2 1 2 0 | 2 1 2 4 1 | 1 2 2 . . o3x . . . *d3o ♦ 6 | 12 | 4 0 4 | * * 10080N * * | 0 0 2 0 3 0 0 | 0 1 0 6 0 3 0 | 0 3 0 6 1 | 0 3 2 . . . x3o3o . . ♦ 4 | 6 | 0 4 0 | * * * 20160N * | 0 0 0 3 0 1 1 | 0 0 3 0 3 3 1 | 1 0 3 3 3 | 1 1 3 . . . x3o . . *d3o ♦ 6 | 12 | 0 4 4 | * * * * 10080N | 0 0 0 0 3 0 2 | 0 0 0 3 0 6 1 | 0 1 0 6 3 | 0 2 3 -------------------+-------+--------+----------------------+------------------------------------+---------------------------------------------+---------------------------------------+-----------------------+-------- o3o3o3x . . . . ♦ 5 | 10 | 10 0 0 | 5 0 0 0 0 | 4032N * * * * * * | 3 1 0 0 0 0 0 | 3 3 0 0 0 | 1 3 0 . o3o3x3o . . . ♦ 10 | 30 | 20 10 0 | 5 5 0 0 0 | * 12096N * * * * * | 1 0 2 1 0 0 0 | 2 1 1 2 0 | 1 2 1 . o3o3x . . . *d3o ♦ 10 | 30 | 20 0 10 | 5 0 5 0 0 | * * 4032N * * * * | 0 1 0 3 0 0 0 | 0 3 0 3 0 | 0 3 1 . . o3x3o3o . . ♦ 10 | 30 | 10 20 0 | 0 5 0 5 0 | * * * 12096N * * * | 0 0 2 0 1 1 0 | 1 0 2 2 1 | 1 1 2 . . o3x3o . . *d3o ♦ 24 | 96 | 32 32 32 | 0 8 8 0 8 | * * * * 3780N * * | 0 0 0 2 0 2 0 | 0 1 0 4 1 | 0 2 2 . . . x3o3o3o . ♦ 5 | 10 | 0 10 0 | 0 0 0 5 0 | * * * * * 4032N * | 0 0 0 0 3 0 1 | 0 0 3 0 3 | 1 0 3 . . . x3o3o . *d3o ♦ 10 | 30 | 0 20 10 | 0 0 0 5 5 | * * * * * * 4032N | 0 0 0 0 0 3 1 | 0 0 0 3 3 | 0 1 3 -------------------+-------+--------+----------------------+------------------------------------+---------------------------------------------+---------------------------------------+-----------------------+-------- o3o3o3x3o . . . ♦ 15 | 60 | 60 20 0 | 30 15 0 0 0 | 6 6 0 0 0 0 0 | 2016N * * * * * * | 2 1 0 0 0 | 1 2 0 o3o3o3x . . . *d3o ♦ 15 | 60 | 60 0 20 | 30 0 15 0 0 | 6 0 6 0 0 0 0 | * 672N * * * * * | 0 3 0 0 0 | 0 3 0 . o3o3x3o3o . . ♦ 20 | 90 | 60 60 0 | 15 30 0 15 0 | 0 6 0 6 0 0 0 | * * 4032N * * * * | 1 0 1 1 0 | 1 1 1 . o3o3x3o . . *d3o ♦ 80 | 480 | 320 160 160 | 80 80 80 0 40 | 0 16 16 0 10 0 0 | * * * 756N * * * | 0 1 0 2 0 | 0 2 1 . . o3x3o3o3o . ♦ 15 | 60 | 20 60 0 | 0 15 0 30 0 | 0 0 0 6 0 6 0 | * * * * 2016N * * | 0 0 2 0 1 | 1 0 2 . . o3x3o3o . *d3o ♦ 80 | 480 | 160 320 160 | 0 80 40 80 80 | 0 0 0 16 10 0 16 | * * * * * 756N * | 0 0 0 2 1 | 0 1 2 . . . x3o3o3o *d3o ♦ 15 | 60 | 0 60 20 | 0 0 0 30 15 | 0 0 0 0 0 6 6 | * * * * * * 672N | 0 0 0 0 3 | 0 0 3 -------------------+-------+--------+----------------------+------------------------------------+---------------------------------------------+---------------------------------------+-----------------------+-------- o3o3o3x3o3o . . ♦ 35 | 210 | 210 140 0 | 105 105 0 35 0 | 21 42 0 21 0 0 0 | 7 0 7 0 0 0 0 | 576N * * * * | 1 1 0 o3o3o3x3o . . *d3o ♦ 240 | 1920 | 1920 640 640 | 960 480 480 0 160 | 192 192 192 0 60 0 0 | 32 32 0 12 0 0 0 | * 63N * * * | 0 2 0 . o3o3x3o3o3o . ♦ 35 | 210 | 140 210 0 | 35 105 0 105 0 | 0 21 0 42 0 21 0 | 0 0 7 0 7 0 0 | * * 576N * * | 1 0 1 . o3o3x3o3o . *d3o ♦ 720 | 6480 | 4320 4320 2160 | 1080 2160 1080 1080 1080 | 0 432 216 432 270 0 216 | 0 0 72 27 0 27 0 | * * * 56N * | 0 1 1 . . o3x3o3o3o *d3o ♦ 240 | 1920 | 640 1920 640 | 0 480 160 960 480 | 0 0 0 192 60 192 192 | 0 0 0 0 32 12 32 | * * * * 63N | 0 0 2 -------------------+-------+--------+----------------------+------------------------------------+---------------------------------------------+---------------------------------------+-----------------------+-------- o3o3o3x3o3o3o . ♦ 70 | 560 | 560 560 0 | 280 420 0 280 0 | 56 168 0 168 0 56 0 | 28 0 56 0 28 0 0 | 8 0 8 0 0 | 72N * * o3o3o3x3o3o . *d3o ♦ 10080 | 120960 | 120960 80640 40320 | 60480 60480 30240 20160 20160 | 12096 24192 12096 12096 7560 0 4032 | 4032 2016 4032 1512 0 756 0 | 576 126 0 56 0 | * N * . o3o3x3o3o3o *d3o ♦ 10080 | 120960 | 80640 120960 40320 | 20160 60480 20160 60480 30240 | 0 12096 4032 24192 7560 12096 12096 | 0 0 4032 756 4032 1512 2016 | 0 0 576 56 126 | * * N
or . . . . . . . . | 1260N ♦ 32 | 96 16 | 64 72 48 | 16 96 32 36 | 24 8 32 48 | 16 12 16 | 2 8 ----------------------+-------+--------+--------------+----------------------+--------------------------+-----------------------+--------------+------ . . . x . . . . | 2 | 20160N | 6 1 | 6 9 6 | 2 18 6 9 | 6 2 9 18 | 6 6 9 | 1 6 ----------------------+-------+--------+--------------+----------------------+--------------------------+-----------------------+--------------+------ . . o3x . . . . & | 3 | 3 | 40320N * | 2 3 1 | 1 9 2 3 | 4 1 6 9 | 5 4 6 | 1 5 . . . x . . . *d3o | 3 | 3 | * 6720N | 0 0 6 | 0 0 6 9 | 0 2 0 18 | 0 6 9 | 0 6 ----------------------+-------+--------+--------------+----------------------+--------------------------+-----------------------+--------------+------ . o3o3x . . . . & ♦ 4 | 6 | 4 0 | 20160N * * | 1 3 1 0 | 3 1 3 3 | 4 3 3 | 1 4 . . o3x3o . . . ♦ 6 | 12 | 8 0 | * 15120N * | 0 4 0 1 | 2 0 4 4 | 4 2 4 | 1 4 . . o3x . . . *d3o & ♦ 6 | 12 | 4 4 | * * 10080N | 0 0 2 3 | 0 1 0 9 | 0 4 6 | 0 5 ----------------------+-------+--------+--------------+----------------------+--------------------------+-----------------------+--------------+------ o3o3o3x . . . . & ♦ 5 | 10 | 10 0 | 5 0 0 | 4032N * * * | 3 1 0 0 | 3 3 0 | 1 3 . o3o3x3o . . . & ♦ 10 | 30 | 30 0 | 5 5 0 | * 12096N * * | 1 0 2 1 | 3 1 2 | 1 3 . o3o3x . . . *d3o & ♦ 10 | 30 | 20 10 | 5 0 5 | * * 4032N * | 0 1 0 3 | 0 3 3 | 0 4 . . o3x3o . . *d3o ♦ 24 | 96 | 64 32 | 0 8 16 | * * * 1890N | 0 0 0 4 | 0 2 4 | 0 4 ----------------------+-------+--------+--------------+----------------------+--------------------------+-----------------------+--------------+------ o3o3o3x3o . . . & ♦ 15 | 60 | 80 0 | 30 15 0 | 6 6 0 0 | 2016N * * * | 2 1 0 | 1 2 o3o3o3x . . . *d3o & ♦ 15 | 60 | 60 20 | 30 0 15 | 6 0 6 0 | * 672N * * | 0 3 0 | 0 3 . o3o3x3o3o . . ♦ 20 | 90 | 120 0 | 30 30 0 | 0 12 0 0 | * * 2016N * | 2 0 1 | 1 2 . o3o3x3o . . *d3o & ♦ 80 | 480 | 480 160 | 80 80 120 | 0 16 16 10 | * * * 756N | 0 1 2 | 0 3 ----------------------+-------+--------+--------------+----------------------+--------------------------+-----------------------+--------------+------ o3o3o3x3o3o . . & ♦ 35 | 210 | 350 0 | 140 105 0 | 21 63 0 0 | 7 0 7 0 | 576N * * | 1 1 o3o3o3x3o . . *d3o & ♦ 240 | 1920 | 2560 640 | 960 480 640 | 192 192 192 60 | 32 32 0 12 | * 63N * | 0 2 . o3o3x3o3o . *d3o ♦ 720 | 6480 | 8640 2160 | 2160 2160 2160 | 0 864 432 270 | 0 0 72 54 | * * 28N | 0 2 ----------------------+-------+--------+--------------+----------------------+--------------------------+-----------------------+--------------+------ o3o3o3x3o3o3o . ♦ 70 | 560 | 1120 0 | 560 420 0 | 112 336 0 0 | 56 0 56 0 | 16 0 0 | 36N * o3o3o3x3o3o . *d3o & ♦ 10080 | 120960 | 201600 40320 | 80640 60480 50400 | 12096 36288 16128 7560 | 4032 2016 4032 2268 | 576 126 56 | * N
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