| Acronym | ..., 53,1 |
| Name | hyperbolic Gosset enneacomb 53,1 |
| Circumradius | 1/2 = 0.5 |
| Confer |
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Incidence matrix according to Dynkin symbol
o3o3o3o3o3o3o3o3x *d3o (N,M,K,L → ∞) . . . . . . . . . . | 2NM ♦ 240K | 120KL | 5040KL | 40320KL | 120960KL | 161280KL | 69120KL 23040KL | 17280KL 1080KL | 1920KL KL -----------------------+------+--------+--------+----------+-----------+-----------+-----------+--------------------+------------------+------------- . . . . . . . . x . | 2 | 240NMK ♦ L | 63L | 672L | 2520L | 4032L | 2016L 672L | 576L 63L | 72L L -----------------------+------+--------+--------+----------+-----------+-----------+-----------+--------------------+------------------+------------- . . . . . . . o3x . | 3 | 3 | 80NMKL ♦ 126 | 2016 | 10080 | 20160 | 12096 4032 | 4032 756 | 576 56 -----------------------+------+--------+--------+----------+-----------+-----------+-----------+--------------------+------------------+------------- . . . . . . o3o3x . ♦ 4 | 6 | 4 | 2520NMKL ♦ 32 | 240 | 640 | 480 160 | 192 60 | 32 12 -----------------------+------+--------+--------+----------+-----------+-----------+-----------+--------------------+------------------+------------- . . . . . o3o3o3x . ♦ 5 | 10 | 10 | 5 | 16128NMKL ♦ 15 | 60 | 60 20 | 30 15 | 6 6 -----------------------+------+--------+--------+----------+-----------+-----------+-----------+--------------------+------------------+------------- . . . . o3o3o3o3x . ♦ 6 | 15 | 20 | 15 | 6 | 40320NMKL ♦ 8 | 12 4 | 8 6 | 2 4 -----------------------+------+--------+--------+----------+-----------+-----------+-----------+--------------------+------------------+------------- . . . o3o3o3o3o3x . ♦ 7 | 21 | 35 | 35 | 21 | 7 | 46080NMKL | 3 1 | 3 3 | 1 3 -----------------------+------+--------+--------+----------+-----------+-----------+-----------+--------------------+------------------+------------- . . o3o3o3o3o3o3x . ♦ 8 | 28 | 56 | 70 | 56 | 28 | 8 | 17280NMKL * | 2 1 | 1 2 . . . o3o3o3o3o3x *d3o ♦ 8 | 28 | 56 | 70 | 56 | 28 | 8 | * 5760NMKL | 0 3 | 0 3 -----------------------+------+--------+--------+----------+-----------+-----------+-----------+--------------------+------------------+------------- . o3o3o3o3o3o3o3x . ♦ 9 | 36 | 84 | 126 | 126 | 84 | 36 | 9 0 | 3840NMKL * | 1 1 . . o3o3o3o3o3o3x *d3o ♦ 16 | 112 | 448 | 1120 | 1792 | 1792 | 1024 | 128 128 | * 135NMKL | 0 2 -----------------------+------+--------+--------+----------+-----------+-----------+-----------+--------------------+------------------+------------- o3o3o3o3o3o3o3o3x . ♦ 10 | 45 | 120 | 210 | 252 | 210 | 120 | 45 0 | 10 0 | 192NMKL * . o3o3o3o3o3o3o3x *d3o ♦ M | 120M | 2240M | 15120M | 48384M | 80640M | 69120M | 17280M 8640M | 1920M 135M | * 2NKL
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