| Acronym | ..., 15,3 |
| Name | hyperbolic Gosset enneacomb 15,3 |
| Circumradius | sqrt(-5)/2 = 1.118034 i |
| Confer |
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Incidence matrix according to Dynkin symbol
o3o3o3o3o3o3o3o3o *d3x (N,M,K,L → ∞) . . . . . . . . . . | 384NMKL ♦ 210 | 2520 | 2520 4200 | 1260 3150 4200 | 252 1260 2520 2520 | 210 840 1260 840 | 120 360 360 120 | 45 90 45 | 10 10 -----------------------+---------+-----------+------------+-----------------------+---------------------------------+------------------------------------------+----------------------------------------+----------------------------------+----------------------+--------- . . . . . . . . . x | 2 | 40320NMKL ♦ 24 | 36 60 | 24 90 80 | 6 60 120 60 | 15 80 90 24 | 20 60 36 4 | 15 24 6 | 6 4 -----------------------+---------+-----------+------------+-----------------------+---------------------------------+------------------------------------------+----------------------------------------+----------------------------------+----------------------+--------- . . . o . . . . . *d3x | 3 | 3 | 322560NMKL | 3 5 | 3 15 10 | 1 15 30 10 | 5 30 30 5 | 10 30 15 1 | 10 15 3 | 5 3 -----------------------+---------+-----------+------------+-----------------------+---------------------------------+------------------------------------------+----------------------------------------+----------------------------------+----------------------+--------- . . o3o . . . . . *d3x ♦ 4 | 6 | 4 | 241920NMKL * | 2 5 0 | 1 10 10 0 | 5 20 10 0 | 10 20 5 0 | 10 10 1 | 5 2 . . . o3o . . . . *d3x ♦ 4 | 6 | 4 | * 403200NMKL | 0 3 4 | 0 3 12 6 | 1 12 18 4 | 4 18 12 1 | 6 12 3 | 4 3 -----------------------+---------+-----------+------------+-----------------------+---------------------------------+------------------------------------------+----------------------------------------+----------------------------------+----------------------+--------- . o3o3o . . . . . *d3x ♦ 5 | 10 | 10 | 5 0 | 96768NMKL * * | 1 5 0 0 | 5 10 0 0 | 10 10 0 0 | 10 5 0 | 5 1 . . o3o3o . . . . *d3x ♦ 8 | 24 | 32 | 8 8 | * 151200NMKL * | 0 2 4 0 | 1 8 6 0 | 4 12 4 0 | 6 8 1 | 4 2 . . . o3o3o . . . *d3x ♦ 5 | 10 | 10 | 0 5 | * * 322560NMKL | 0 0 3 3 | 0 3 9 3 | 1 9 9 1 | 3 9 3 | 3 3 -----------------------+---------+-----------+------------+-----------------------+---------------------------------+------------------------------------------+----------------------------------------+----------------------------------+----------------------+--------- o3o3o3o . . . . . *d3x ♦ 6 | 15 | 20 | 15 0 | 6 0 0 | 16128NMKL * * * ♦ 5 0 0 0 | 10 0 0 0 | 10 0 0 | 5 0 . o3o3o3o . . . . *d3x ♦ 16 | 80 | 160 | 80 40 | 16 10 0 | * 30240NMKL * * | 1 4 0 0 | 4 6 0 0 | 6 4 0 | 4 1 . . o3o3o3o . . . *d3x ♦ 16 | 80 | 160 | 40 80 | 0 10 16 | * * 60480NMKL * | 0 2 3 0 | 1 6 3 0 | 3 6 1 | 3 2 . . . o3o3o3o . . *d3x ♦ 6 | 15 | 20 | 0 15 | 0 0 6 | * * * 161280NMKL | 0 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 -----------------------+---------+-----------+------------+-----------------------+---------------------------------+------------------------------------------+----------------------------------------+----------------------------------+----------------------+--------- o3o3o3o3o . . . . *d3x ♦ 32 | 240 | 640 | 480 160 | 192 60 0 | 32 12 0 0 | 2520NMKL * * * ♦ 4 0 0 0 | 6 0 0 | 4 0 . o3o3o3o3o . . . *d3x ♦ 72 | 720 | 2160 | 1080 1080 | 216 270 216 | 0 27 27 0 | * 10080NMKL * * | 1 3 0 0 | 3 3 0 | 3 1 . . o3o3o3o3o . . *d3x ♦ 32 | 240 | 640 | 160 480 | 0 60 192 | 0 0 12 32 | * * 15120NMKL * | 0 2 2 0 | 1 4 1 | 2 2 . . . o3o3o3o3o . *d3x ♦ 7 | 21 | 35 | 0 35 | 0 0 21 | 0 0 0 7 | * * * 46080NMKL | 0 0 3 1 | 0 3 3 | 1 3 -----------------------+---------+-----------+------------+-----------------------+---------------------------------+------------------------------------------+----------------------------------------+----------------------------------+----------------------+--------- o3o3o3o3o3o . . . *d3x ♦ 576 | 10080 | 40320 | 30240 20160 | 12096 7560 4032 | 2016 1512 756 0 | 126 56 0 0 | 80NMKL * * * | 3 0 0 | 3 0 . o3o3o3o3o3o . . *d3x ♦ 576 | 10080 | 40320 | 20160 30240 | 4032 7560 12096 | 0 756 1512 2016 | 0 56 126 0 | * 240NMKL * * | 1 2 0 | 2 1 . . o3o3o3o3o3o . *d3x ♦ 64 | 672 | 2240 | 560 2240 | 0 280 1344 | 0 0 84 448 | 0 0 14 64 | * * 2160NMKL * | 0 2 1 | 1 2 . . . o3o3o3o3o3o *d3x ♦ 8 | 28 | 56 | 0 70 | 0 0 56 | 0 0 0 28 | 0 0 0 8 | * * * 5760NMKL | 0 0 3 | 0 3 -----------------------+---------+-----------+------------+-----------------------+---------------------------------+------------------------------------------+----------------------------------------+----------------------------------+----------------------+--------- o3o3o3o3o3o3o . . *d3x ♦ 72M | 2520M | 13440M | 10080M 10080M | 4032M 3780M 4032M | 672M 756M 756M 672M | 63M 56M 63M 0 | M M 0 0 | 240NKL * * | 2 0 . o3o3o3o3o3o3o . *d3x ♦ 17280 | 483840 | 2419200 | 1209600 2419200 | 241920 604800 1451520 | 0 60480 181440 483840 | 0 6720 30240 69120 | 0 240 2160 0 | * 2NMKL * | 1 1 . . o3o3o3o3o3o3o *d3x ♦ 128 | 1792 | 7168 | 1792 8960 | 0 1120 7168 | 0 0 448 3584 | 0 0 112 1024 | 0 0 16 128 | * * 135NMKL | 0 2 -----------------------+---------+-----------+------------+-----------------------+---------------------------------+------------------------------------------+----------------------------------------+----------------------------------+----------------------+--------- o3o3o3o3o3o3o3o . *d3x ♦ 1920MK | 120960MK | 806400MK | 604800MK 806400MK | 241920MK 302400MK 483840MK | 40320MK 60480MK 90720MK 161280MK | 5040MK 6720MK 15120MK 2880MK | 120MK 240MK 1080MK 0 | 240K MK 0 | 2NL * . o3o3o3o3o3o3o3o *d3x ♦ 1920L | 80640L | 483840L | 241920L 604800L | 48384L 151200L 483840L | 0 15120L 60480L 241920L | 0 2240L 15120L 69120L | 0 120L 2160L 8640L | 0 L 135L | * 2NMK
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