| Acronym | bargoh |
| Name | birectified Gosset octacomb 52,1 |
Incidence matrix according to Dynkin symbol
o3o3o3o3o3x3o3o *c3o (N → ∞) . . . . . . . . . | 2240N ♦ 81 | 648 81 | 2160 648 27 | 3240 2160 216 | 1296 648 3240 720 | 216 1296 81 1080 648 | 216 3 432 81 216 | 72 3 27 ---------------------+-------+--------+----------------+-------------------------+-------------------------+--------------------------------+-------------------------------------+--------------------------------+------------- . . . . . x . . . | 2 | 90720N | 16 2 | 80 32 1 | 160 160 16 | 80 40 320 80 | 16 160 10 160 80 | 32 1 80 20 40 | 16 2 10 ---------------------+-------+--------+----------------+-------------------------+-------------------------+--------------------------------+-------------------------------------+--------------------------------+------------- . . . . o3x . . . | 3 | 3 | 483840N * | 10 2 0 | 30 20 1 | 20 10 60 10 | 5 40 5 30 20 | 10 1 20 10 10 | 5 2 5 . . . . . x3o . . | 3 | 3 | * 60480N | 0 16 1 | 0 80 16 | 0 0 160 80 | 0 80 0 160 40 | 16 0 80 10 40 | 16 1 10 ---------------------+-------+--------+----------------+-------------------------+-------------------------+--------------------------------+-------------------------------------+--------------------------------+------------- . . . o3o3x . . . ♦ 4 | 6 | 4 0 | 1209600N * * | 6 2 0 | 6 3 12 1 | 2 12 3 6 6 | 4 1 6 6 3 | 2 2 3 . . . . o3x3o . . ♦ 6 | 12 | 4 4 | * 241920N * | 0 10 1 | 0 0 30 10 | 0 20 0 30 10 | 5 0 20 5 10 | 5 1 5 . . . . . x3o3o . ♦ 4 | 6 | 0 4 | * * 15120N ♦ 0 0 16 | 0 0 0 80 | 0 0 0 160 0 | 0 0 80 0 40 | 16 0 10 ---------------------+-------+--------+----------------+-------------------------+-------------------------+--------------------------------+-------------------------------------+--------------------------------+------------- . . o3o3o3x . . . ♦ 5 | 10 | 10 0 | 5 0 0 | 1451520N * * | 2 1 2 0 | 1 4 2 1 2 | 2 1 2 4 1 | 1 2 2 . . . o3o3x3o . . ♦ 10 | 30 | 20 10 | 5 5 0 | * 483840N * | 0 0 6 1 | 0 6 0 6 3 | 2 0 6 3 3 | 2 1 3 . . . . o3x3o3o . ♦ 10 | 30 | 10 20 | 0 5 5 | * * 48384N ♦ 0 0 0 10 | 0 0 0 30 0 | 0 0 20 0 10 | 5 0 5 ---------------------+-------+--------+----------------+-------------------------+-------------------------+--------------------------------+-------------------------------------+--------------------------------+------------- . o3o3o3o3x . . . ♦ 6 | 15 | 20 0 | 15 0 0 | 6 0 0 | 483840N * * * | 1 2 1 0 0 | 2 1 1 2 0 | 1 2 1 . . o3o3o3x . . *c3o ♦ 6 | 15 | 20 0 | 15 0 0 | 6 0 0 | * 241920N * * | 0 0 2 0 2 | 0 1 0 4 1 | 0 2 2 . . o3o3o3x3o . . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 6 0 | * * 483840N * | 0 2 0 1 1 | 1 0 2 2 1 | 1 1 2 . . . o3o3x3o3o . ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 6 | * * * 80640N ♦ 0 0 0 6 0 | 0 0 6 0 3 | 2 0 3 ---------------------+-------+--------+----------------+-------------------------+-------------------------+--------------------------------+-------------------------------------+--------------------------------+------------- o3o3o3o3o3x . . . ♦ 7 | 21 | 35 0 | 35 0 0 | 21 0 0 | 7 0 0 0 | 69120N * * * * | 2 1 0 0 0 | 1 2 0 . o3o3o3o3x3o . . ♦ 21 | 105 | 140 35 | 105 35 0 | 42 21 0 | 7 0 7 0 | * 138240N * * * | 1 0 1 1 0 | 1 1 1 . o3o3o3o3x . . *c3o ♦ 12 | 60 | 160 0 | 240 0 0 | 192 0 0 | 32 32 0 0 | * * 15120N * * | 0 1 0 2 0 | 0 2 1 . . o3o3o3x3o3o . ♦ 35 | 210 | 210 140 | 105 105 35 | 21 42 21 | 0 0 7 7 | * * * 69120N * | 0 0 2 0 1 | 1 0 2 . . o3o3o3x3o . *c3o ♦ 21 | 105 | 140 35 | 105 35 0 | 42 21 0 | 0 7 7 0 | * * * * 69120N | 0 0 0 2 1 | 0 1 2 ---------------------+-------+--------+----------------+-------------------------+-------------------------+--------------------------------+-------------------------------------+--------------------------------+------------- o3o3o3o3o3x3o . . ♦ 28 | 168 | 280 56 | 280 70 0 | 168 56 0 | 56 0 28 0 | 8 8 0 0 0 | 17280N * * * * | 1 1 0 o3o3o3o3o3x . . *c3o ♦ 56 | 756 | 4032 0 | 10080 0 0 | 12096 0 0 | 4032 2016 0 0 | 576 0 126 0 0 | * 120N * * * | 0 2 0 . o3o3o3o3x3o3o . ♦ 56 | 420 | 560 280 | 420 280 70 | 168 168 56 | 28 0 56 28 | 0 8 0 8 0 | * * 17280N * * | 1 0 1 . o3o3o3o3x3o . *c3o ♦ 84 | 840 | 2240 280 | 3360 560 0 | 2688 672 0 | 448 448 448 0 | 0 64 14 0 64 | * * * 2160N * | 0 1 1 . . o3o3o3x3o3o *c3o ♦ 56 | 420 | 560 280 | 420 280 70 | 168 168 56 | 0 28 56 28 | 0 0 0 8 8 | * * * * 8640N | 0 0 2 ---------------------+-------+--------+----------------+-------------------------+-------------------------+--------------------------------+-------------------------------------+--------------------------------+------------- o3o3o3o3o3x3o3o . ♦ 84 | 756 | 1260 504 | 1260 630 126 | 756 504 126 | 252 0 252 84 | 36 72 0 36 0 | 9 0 9 0 0 | 1920N * * o3o3o3o3o3x3o . *c3o ♦ 6720 | 181440 | 967680 60480 | 2419200 241920 0 | 2903040 483840 0 | 967680 483840 483840 0 | 138240 138240 30240 0 69120 | 17280 240 0 2160 0 | * N * . o3o3o3o3x3o3o *c3o ♦ 448 | 6720 | 17920 4480 | 26880 8960 1120 | 21504 10752 1792 | 3584 3584 7168 1792 | 0 1024 112 1024 1024 | 0 0 128 16 128 | * * 135N
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