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| Acronym | barz (old: drhio) |
| Name | birectified hecatonicosoctaexon |
| Circumradius | sqrt(3/2) = 1.224745 |
| Coordinates | (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0) & all permutations, all changes of sign |
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Incidence matrix according to Dynkin symbol
o3o3x3o3o3o4o . . . . . . . | 280 ♦ 24 | 24 72 | 8 72 96 | 24 96 48 | 32 48 3 | 16 3 --------------+-----+------+-----------+---------------+---------------+------------+------- . . x . . . . | 2 | 3360 | 2 6 | 1 12 12 | 6 24 8 | 12 16 1 | 8 2 --------------+-----+------+-----------+---------------+---------------+------------+------- . o3x . . . . | 3 | 3 | 2240 * | 1 6 0 | 6 12 0 | 12 8 0 | 8 1 . . x3o . . . | 3 | 3 | * 6720 | 0 2 4 | 1 8 4 | 4 8 1 | 4 2 --------------+-----+------+-----------+---------------+---------------+------------+------- o3o3x . . . . ♦ 4 | 6 | 4 0 | 560 * * ♦ 6 0 0 | 12 0 0 | 8 0 . o3x3o . . . ♦ 6 | 12 | 4 4 | * 3360 * | 1 4 0 | 4 4 0 | 4 1 . . x3o3o . . ♦ 4 | 6 | 0 4 | * * 6720 | 0 2 2 | 1 4 1 | 2 2 --------------+-----+------+-----------+---------------+---------------+------------+------- o3o3x3o . . . ♦ 10 | 30 | 20 10 | 5 5 0 | 672 * * | 4 0 0 | 4 0 . o3x3o3o . . ♦ 10 | 30 | 10 20 | 0 5 5 | * 2688 * | 1 2 0 | 2 1 . . x3o3o3o . ♦ 5 | 10 | 0 10 | 0 0 5 | * * 2688 | 0 2 1 | 1 2 --------------+-----+------+-----------+---------------+---------------+------------+------- o3o3x3o3o . . ♦ 20 | 90 | 60 60 | 15 30 15 | 6 6 0 | 448 * * | 2 0 . o3x3o3o3o . ♦ 15 | 60 | 20 60 | 0 15 30 | 0 6 6 | * 896 * | 1 1 . . x3o3o3o4o ♦ 10 | 40 | 0 80 | 0 0 80 | 0 0 32 | * * 84 | 0 2 --------------+-----+------+-----------+---------------+---------------+------------+------- o3o3x3o3o3o . ♦ 35 | 210 | 140 210 | 35 105 105 | 21 42 21 | 7 7 0 | 128 * . o3x3o3o3o4o ♦ 60 | 480 | 160 960 | 0 240 960 | 0 192 384 | 0 64 12 | * 14
o3o3o *b3o3x3o3o . . . . . . . | 280 ♦ 24 | 72 24 | 96 72 8 | 24 24 96 24 | 3 24 24 32 | 3 8 8 -----------------+-----+------+-----------+---------------+--------------------+----------------+--------- . . . . x . . | 2 | 3360 | 6 2 | 12 12 1 | 4 4 24 6 | 1 8 8 12 | 2 4 4 -----------------+-----+------+-----------+---------------+--------------------+----------------+--------- . . . o3x . . | 3 | 3 | 6720 * | 4 2 0 | 2 2 8 1 | 1 4 4 4 | 2 2 2 . . . . x3o . | 3 | 3 | * 2240 | 0 6 1 | 0 0 12 6 | 0 4 4 12 | 1 4 4 -----------------+-----+------+-----------+---------------+--------------------+----------------+--------- . o . *b3o3x . . ♦ 4 | 6 | 4 0 | 6720 * * | 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . o3x3o . ♦ 6 | 12 | 4 4 | * 3360 * | 0 0 4 1 | 0 2 2 4 | 1 2 2 . . . . x3o3o ♦ 4 | 6 | 0 4 | * * 560 ♦ 0 0 0 6 | 0 0 0 12 | 0 4 4 -----------------+-----+------+-----------+---------------+--------------------+----------------+--------- o3o . *b3o3x . . ♦ 5 | 10 | 10 0 | 5 0 0 | 1344 * * * | 1 2 0 0 | 2 1 0 . o3o *b3o3x . . ♦ 5 | 10 | 10 0 | 5 0 0 | * 1344 * * | 1 0 2 0 | 2 0 1 . o . *b3o3x3o . ♦ 10 | 30 | 20 10 | 5 5 0 | * * 2688 * | 0 1 1 1 | 1 1 1 . . . o3x3o3o ♦ 10 | 30 | 10 20 | 0 5 5 | * * * 672 | 0 0 0 4 | 0 2 2 -----------------+-----+------+-----------+---------------+--------------------+----------------+--------- o3o3o *b3o3x . . ♦ 10 | 40 | 80 0 | 80 0 0 | 16 16 0 0 | 84 * * * | 2 0 0 o3o . *b3o3x3o . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 0 6 0 | * 448 * * | 1 1 0 . o3o *b3o3x3o . ♦ 15 | 60 | 60 20 | 30 15 0 | 0 6 6 0 | * * 448 * | 1 0 1 . o . *b3o3x3o3o ♦ 20 | 90 | 60 60 | 15 30 15 | 0 0 6 6 | * * * 448 | 0 1 1 -----------------+-----+------+-----------+---------------+--------------------+----------------+--------- o3o3o *b3o3x3o . ♦ 60 | 480 | 960 160 | 960 240 0 | 192 192 192 0 | 12 32 32 0 | 14 * * o3o . *b3o3x3o3o ♦ 35 | 210 | 210 140 | 105 105 35 | 21 0 42 21 | 0 7 0 7 | * 64 * . o3o *b3o3x3o3o ♦ 35 | 210 | 210 140 | 105 105 35 | 0 21 42 21 | 0 0 7 7 | * * 64
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