| Acronym | rigoh |
| Name | rectified Gosset octacomb 52,1 |
Incidence matrix according to Dynkin symbol
o3o3o3o *c3o3o3o3x3o (N → ∞) . . . . . . . . . | 120N ♦ 112 | 1512 56 | 8064 756 | 20160 4032 | 24192 10080 | 8064 4032 12096 | 1152 252 4032 2016 | 2 576 126 ---------------------+------+-------+--------------+----------------+----------------+----------------+-----------------------+---------------------------+------------- . . . . . . . x . | 2 | 6720N | 27 1 | 216 27 | 720 216 | 1080 720 | 432 216 1080 | 72 27 432 216 | 1 72 27 ---------------------+------+-------+--------------+----------------+----------------+----------------+-----------------------+---------------------------+------------- . . . . . . o3x . | 3 | 3 | 60480N * | 16 1 | 80 16 | 160 80 | 80 40 160 | 16 10 80 40 | 1 16 10 . . . . . . . x3o | 3 | 3 | * 2240N ♦ 0 27 | 0 216 | 0 720 | 0 0 1080 | 0 0 432 216 | 0 72 27 ---------------------+------+-------+--------------+----------------+----------------+----------------+-----------------------+---------------------------+------------- . . . . . o3o3x . ♦ 4 | 6 | 4 0 | 241920N * | 10 1 | 30 10 | 20 10 30 | 5 5 20 10 | 1 5 5 . . . . . . o3x3o ♦ 6 | 12 | 4 4 | * 15120N ♦ 0 16 | 0 80 | 0 0 160 | 0 0 80 40 | 0 16 10 ---------------------+------+-------+--------------+----------------+----------------+----------------+-----------------------+---------------------------+------------- . . . . o3o3o3x . ♦ 5 | 10 | 10 0 | 5 0 | 483840N * | 6 1 | 6 3 6 | 2 3 6 3 | 1 2 3 . . . . . o3o3x3o ♦ 10 | 30 | 20 10 | 5 5 | * 48384N ♦ 0 10 | 0 0 30 | 0 0 20 10 | 0 5 5 ---------------------+------+-------+--------------+----------------+----------------+----------------+-----------------------+---------------------------+------------- . . o . *c3o3o3o3x . ♦ 6 | 15 | 20 0 | 15 0 | 6 0 | 483840N * | 2 1 1 | 1 2 2 1 | 1 1 2 . . . . o3o3o3x3o ♦ 15 | 60 | 60 20 | 30 15 | 6 6 | * 80640N ♦ 0 0 6 | 0 0 6 3 | 0 2 3 ---------------------+------+-------+--------------+----------------+----------------+----------------+-----------------------+---------------------------+------------- . o3o . *c3o3o3o3x . ♦ 7 | 21 | 35 0 | 35 0 | 21 0 | 7 0 | 138240N * * | 1 1 1 0 | 1 1 1 . . o3o *c3o3o3o3x . ♦ 7 | 21 | 35 0 | 35 0 | 21 0 | 7 0 | * 69120N * | 0 2 0 1 | 1 0 2 . . o . *c3o3o3o3x3o ♦ 21 | 105 | 140 35 | 105 35 | 42 21 | 7 7 | * * 69120N | 0 0 2 1 | 0 1 2 ---------------------+------+-------+--------------+----------------+----------------+----------------+-----------------------+---------------------------+------------- o3o3o . *c3o3o3o3x . ♦ 8 | 28 | 56 0 | 70 0 | 56 0 | 28 0 | 8 0 0 | 17280N * * * | 1 1 0 . o3o3o *c3o3o3o3x . ♦ 14 | 84 | 280 0 | 560 0 | 672 0 | 448 0 | 64 64 0 | * 2160N * * | 1 0 1 . o3o . *c3o3o3o3x3o ♦ 28 | 168 | 280 56 | 280 70 | 168 56 | 56 28 | 8 0 8 | * * 17280N * | 0 1 1 . . o3o *c3o3o3o3x3o ♦ 28 | 168 | 280 56 | 280 70 | 168 56 | 56 28 | 0 8 8 | * * * 8640N | 0 0 2 ---------------------+------+-------+--------------+----------------+----------------+----------------+-----------------------+---------------------------+------------- o3o3o3o *c3o3o3o3x . ♦ 240 | 6720 | 60480 0 | 241920 0 | 483840 0 | 483840 0 | 138240 69120 0 | 17280 2160 0 0 | N * * o3o3o . *c3o3o3o3x3o ♦ 36 | 252 | 504 84 | 630 126 | 504 126 | 252 84 | 72 0 36 | 9 0 9 0 | * 1920N * . o3o3o *c3o3o3o3x3o ♦ 112 | 1344 | 4480 448 | 8960 1120 | 10752 1792 | 7168 1792 | 1024 1024 1024 | 0 16 128 128 | * * 135N
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