| Acronym | trigoh |
| Name | trirectified Gosset octacomb 52,1 |
Incidence matrix according to Dynkin symbol
o3o3o3o3x3o3o3o *c3o (N → ∞) . . . . . . . . . | 15120N ♦ 64 | 320 96 | 640 480 64 | 320 960 160 320 16 | 64 480 40 640 240 80 | 96 4 320 60 160 160 | 64 6 80 40 40 | 16 4 10 ---------------------+--------+---------+------------------+---------------------------+------------------------------------------+-----------------------------------------------+-------------------------------------------+--------------------------------+------------- . . . . x . . . . | 2 | 483840N | 10 3 | 30 30 3 | 20 90 10 30 1 | 5 60 5 90 30 10 | 15 1 60 15 30 30 | 15 3 20 15 10 | 5 3 5 ---------------------+--------+---------+------------------+---------------------------+------------------------------------------+-----------------------------------------------+-------------------------------------------+--------------------------------+------------- . . . o3x . . . . | 3 | 3 | 1612800N * | 6 3 0 | 6 18 3 3 0 | 2 18 3 18 9 1 | 6 1 18 9 6 9 | 6 3 6 9 3 | 2 3 3 . . . . x3o . . . | 3 | 3 | * 483840N | 0 10 2 | 0 30 0 20 1 | 0 20 0 60 10 10 | 5 0 40 5 30 20 | 10 1 20 10 10 | 5 2 5 ---------------------+--------+---------+------------------+---------------------------+------------------------------------------+-----------------------------------------------+-------------------------------------------+--------------------------------+------------- . . o3o3x . . . . ♦ 4 | 6 | 4 0 | 2419200N * * | 2 3 1 0 0 | 1 6 2 3 3 0 | 3 1 6 6 1 3 | 3 3 2 6 1 | 1 3 2 . . . o3x3o . . . ♦ 6 | 12 | 4 4 | * 1209600N * | 0 6 0 2 0 | 0 6 0 12 3 1 | 2 0 12 3 6 6 | 4 1 6 6 3 | 2 2 3 . . . . x3o3o . . ♦ 4 | 6 | 0 4 | * * 241920N | 0 0 0 10 1 | 0 0 0 30 0 10 | 0 0 20 0 30 10 | 5 0 20 5 10 | 5 1 5 ---------------------+--------+---------+------------------+---------------------------+------------------------------------------+-----------------------------------------------+-------------------------------------------+--------------------------------+------------- . o3o3o3x . . . . ♦ 5 | 10 | 10 0 | 5 0 0 | 967680N * * * * | 1 3 1 0 0 0 | 3 1 3 3 0 0 | 3 3 1 3 0 | 1 3 1 . . o3o3x3o . . . ♦ 10 | 30 | 20 10 | 5 5 0 | * 1451520N * * * | 0 2 0 2 1 0 | 1 0 4 2 1 2 | 2 1 2 4 1 | 1 2 2 . . o3o3x . . . *c3o ♦ 5 | 10 | 10 0 | 5 0 0 | * * 483840N * * | 0 0 2 0 3 0 | 0 1 0 6 0 3 | 0 3 0 6 1 | 0 3 2 . . . o3x3o3o . . ♦ 10 | 30 | 10 20 | 0 5 5 | * * * 483840N * | 0 0 0 6 0 1 | 0 0 6 0 6 3 | 2 0 6 3 3 | 2 1 3 . . . . x3o3o3o . ♦ 5 | 10 | 0 10 | 0 0 5 | * * * * 48384N ♦ 0 0 0 0 0 10 | 0 0 0 0 30 0 | 0 0 20 0 10 | 5 0 5 ---------------------+--------+---------+------------------+---------------------------+------------------------------------------+-----------------------------------------------+-------------------------------------------+--------------------------------+------------- o3o3o3o3x . . . . ♦ 6 | 15 | 20 0 | 15 0 0 | 6 0 0 0 0 | 161280N * * * * * | 3 1 0 0 0 0 | 3 3 0 0 0 | 1 3 0 . o3o3o3x3o . . . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 6 0 0 0 | * 483840N * * * * | 1 0 2 1 0 0 | 2 1 1 2 0 | 1 2 1 . o3o3o3x . . . *c3o ♦ 10 | 40 | 80 0 | 80 0 0 | 16 0 16 0 0 | * * 60480N * * * | 0 1 0 3 0 0 | 0 3 0 3 0 | 0 3 1 . . o3o3x3o3o . . ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 0 6 0 | * * * 483840N * * | 0 0 2 0 1 1 | 1 0 2 2 1 | 1 1 2 . . o3o3x3o . . *c3o ♦ 15 | 60 | 60 20 | 30 15 0 | 0 6 6 0 0 | * * * * 241920N * | 0 0 0 2 0 2 | 0 1 0 4 1 | 0 2 2 . . . o3x3o3o3o . ♦ 15 | 60 | 20 60 | 0 15 30 | 0 0 0 6 6 | * * * * * 80640N ♦ 0 0 0 0 6 0 | 0 0 6 0 3 | 2 0 3 ---------------------+--------+---------+------------------+---------------------------+------------------------------------------+-----------------------------------------------+-------------------------------------------+--------------------------------+------------- o3o3o3o3x3o . . . ♦ 21 | 105 | 140 35 | 105 35 0 | 42 21 0 0 0 | 7 7 0 0 0 0 | 69120N * * * * * | 2 1 0 0 0 | 1 2 0 o3o3o3o3x . . . *c3o ♦ 27 | 216 | 720 0 | 1080 0 0 | 432 0 216 0 0 | 72 0 27 0 0 0 | * 2240N * * * * | 0 3 0 0 0 | 0 3 0 . o3o3o3x3o3o . . ♦ 35 | 210 | 210 140 | 105 105 35 | 21 42 0 21 0 | 0 7 0 7 0 0 | * * 138240N * * * | 1 0 1 1 0 | 1 1 1 . o3o3o3x3o . . *c3o ♦ 60 | 480 | 960 160 | 960 240 0 | 192 192 192 0 0 | 0 32 12 0 32 0 | * * * 15120N * * | 0 1 0 2 0 | 0 2 1 . . o3o3x3o3o3o . ♦ 35 | 210 | 140 210 | 35 105 105 | 0 21 0 42 21 | 0 0 0 7 0 7 | * * * * 69120N * | 0 0 2 0 1 | 1 0 2 . . o3o3x3o3o . *c3o ♦ 35 | 210 | 210 140 | 105 105 35 | 0 42 21 21 0 | 0 0 0 7 7 0 | * * * * * 69120N | 0 0 0 2 1 | 0 1 2 ---------------------+--------+---------+------------------+---------------------------+------------------------------------------+-----------------------------------------------+-------------------------------------------+--------------------------------+------------- o3o3o3o3x3o3o . . ♦ 56 | 420 | 560 280 | 420 280 70 | 168 168 0 56 0 | 28 56 0 28 0 0 | 8 0 8 0 0 0 | 17280N * * * * | 1 1 0 o3o3o3o3x3o . . *c3o ♦ 756 | 12096 | 40320 4032 | 60480 10080 0 | 24192 12096 12096 0 0 | 4032 4032 1512 0 2016 0 | 576 56 0 126 0 0 | * 120N * * * | 0 2 0 . o3o3o3x3o3o3o . ♦ 70 | 560 | 560 560 | 280 420 280 | 56 168 0 168 56 | 0 28 0 56 0 28 | 0 0 8 0 8 0 | * * 17280N * * | 1 0 1 . o3o3o3x3o3o . *c3o ♦ 280 | 3360 | 6720 2240 | 6720 3360 560 | 1344 2688 1344 672 0 | 0 448 84 448 448 0 | 0 0 64 14 0 64 | * * * 2160N * | 0 1 1 . . o3o3x3o3o3o *c3o ♦ 70 | 560 | 560 560 | 280 420 280 | 0 168 56 168 56 | 0 0 0 56 28 28 | 0 0 0 0 8 8 | * * * * 8640N | 0 0 2 ---------------------+--------+---------+------------------+---------------------------+------------------------------------------+-----------------------------------------------+-------------------------------------------+--------------------------------+------------- o3o3o3o3x3o3o3o . ♦ 126 | 1260 | 1680 1260 | 1260 1260 630 | 504 756 0 504 126 | 84 252 0 252 0 84 | 36 0 72 0 36 0 | 9 0 9 0 0 | 1920N * * o3o3o3o3x3o3o . *c3o ♦ 60480 | 1451520 | 4838400 967680 | 7257600 2419200 241920 | 2903040 2903040 1451520 483840 0 | 483840 967680 181440 483840 483840 0 | 138240 6720 138240 30240 0 69120 | 17280 240 0 2160 0 | * N * . o3o3o3x3o3o3o *c3o ♦ 1120 | 17920 | 35840 17920 | 35840 26880 8960 | 7168 21504 7168 10752 1792 | 0 3584 448 7168 3584 1792 | 0 0 1024 112 1024 1024 | 0 0 128 16 128 | * * 135N
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