Gosset polytope 04,3
(at margins)
- general polytopal classes:
- Wythoffian polyzetta Coxeter-Elte-Gosset polytopes
links
| Acronym | trene |
| Name |
trirectified enneazetton, Gosset polytope 04,3 |
| Circumradius | sqrt(10)/3 = 1.054093 |
| Volume | 15619/215040 = 0.072633 |
|
Dihedral angles
(at margins) | |
| Face vector | 126, 1260, 2940, 3150, 1890, 672, 144, 18 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3o3o3x3o3o3o3o . . . . . . . . | 126 ♦ 20 | 30 40 | 20 60 40 | 5 40 60 20 | 10 40 30 4 | 10 20 6 | 5 4 ----------------+-----+------+-----------+---------------+-----------------+---------------+----------+---- . . . x . . . . | 2 | 1260 | 3 4 | 3 12 6 | 1 12 18 4 | 4 18 12 1 | 6 12 3 | 4 3 ----------------+-----+------+-----------+---------------+-----------------+---------------+----------+---- . . o3x . . . . | 3 | 3 | 1260 * | 2 4 0 | 1 8 6 0 | 4 12 4 0 | 6 8 1 | 4 2 . . . x3o . . . | 3 | 3 | * 1680 | 0 3 3 | 0 3 9 3 | 1 9 9 1 | 3 9 3 | 3 3 ----------------+-----+------+-----------+---------------+-----------------+---------------+----------+---- . o3o3x . . . . ♦ 4 | 6 | 4 0 | 630 * * | 1 4 0 0 | 4 6 0 0 | 6 4 0 | 4 1 . . o3x3o . . . ♦ 6 | 12 | 4 4 | * 1260 * | 0 2 3 0 | 1 6 3 0 | 3 6 1 | 3 2 . . . x3o3o . . ♦ 4 | 6 | 0 4 | * * 1260 | 0 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 ----------------+-----+------+-----------+---------------+-----------------+---------------+----------+---- o3o3o3x . . . . ♦ 5 | 10 | 10 0 | 5 0 0 | 126 * * * ♦ 4 0 0 0 | 6 0 0 | 4 0 . o3o3x3o . . . ♦ 10 | 30 | 20 10 | 5 5 0 | * 504 * * | 1 3 0 0 | 3 3 0 | 3 1 . . o3x3o3o . . ♦ 10 | 30 | 10 20 | 0 5 5 | * * 756 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o3o3o . ♦ 5 | 10 | 0 10 | 0 0 5 | * * * 504 | 0 0 3 1 | 0 3 3 | 1 3 ----------------+-----+------+-----------+---------------+-----------------+---------------+----------+---- o3o3o3x3o . . . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 6 0 0 | 84 * * * | 3 0 0 | 3 0 . o3o3x3o3o . . ♦ 20 | 90 | 60 60 | 15 30 15 | 0 6 6 0 | * 252 * * | 1 2 0 | 2 1 . . o3x3o3o3o . ♦ 15 | 60 | 20 60 | 0 15 30 | 0 0 6 6 | * * 252 * | 0 2 1 | 1 2 . . . x3o3o3o3o ♦ 6 | 15 | 0 20 | 0 0 15 | 0 0 0 6 | * * * 84 | 0 0 3 | 0 3 ----------------+-----+------+-----------+---------------+-----------------+---------------+----------+---- o3o3o3x3o3o . . ♦ 35 | 210 | 210 140 | 105 105 35 | 21 42 21 0 | 7 7 0 0 | 36 * * | 2 0 . o3o3x3o3o3o . ♦ 35 | 210 | 140 210 | 35 105 105 | 0 21 42 21 | 0 7 7 0 | * 72 * | 1 1 . . o3x3o3o3o3o ♦ 21 | 105 | 35 140 | 0 35 105 | 0 0 21 42 | 0 0 7 7 | * * 36 | 0 2 ----------------+-----+------+-----------+---------------+-----------------+---------------+----------+---- o3o3o3x3o3o3o . ♦ 70 | 560 | 560 560 | 280 420 280 | 56 168 168 56 | 28 56 28 0 | 8 8 0 | 9 * . o3o3x3o3o3o3o ♦ 56 | 420 | 280 560 | 70 280 420 | 0 56 168 168 | 0 28 56 28 | 0 8 8 | * 9
oxooo3ooxoo3oooxo oxooo3ooxoo3oooxo3oooox&#xt → all heights = 3/sqrt(40) = 0.474342 (pt || tetpen || octrap || bi-inv tetrap || dual pen) o....3o....3o.... o....3o....3o....3o.... | 1 * * * * ♦ 20 0 0 0 0 0 0 0 0 0 0 | 30 40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 20 40 60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5 20 40 60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 10 30 40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 10 20 0 0 0 0 0 0 0 | 4 5 0 0 .o...3.o...3.o... .o...3.o...3.o...3.o... | * 20 * * * ♦ 1 3 4 12 0 0 0 0 0 0 0 | 3 4 3 6 12 12 12 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 6 12 1 4 12 18 4 12 18 12 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 4 12 18 1 4 12 4 12 3 18 6 18 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 4 12 18 3 3 6 12 6 12 3 4 0 0 0 0 0 0 0 0 | 3 6 12 3 3 4 4 1 0 0 | 3 4 1 1 ..o..3..o..3..o.. ..o..3..o..3..o..3..o.. | * * 60 * * ♦ 0 0 0 4 4 6 6 0 0 0 0 | 0 0 0 0 2 8 2 12 2 2 3 6 12 3 12 6 0 0 0 0 0 0 0 | 0 0 1 0 0 4 6 4 4 6 12 24 1 3 2 6 6 12 6 6 12 2 3 0 0 0 0 0 0 0 0 | 0 0 2 3 0 2 6 2 6 4 12 12 12 24 1 3 6 4 3 6 4 6 6 1 0 0 0 0 0 0 | 0 1 3 6 2 2 6 12 6 12 8 12 2 2 3 2 3 2 0 0 | 1 3 6 4 4 6 6 4 1 1 | 2 3 2 2 ...o.3...o.3...o. ...o.3...o.3...o.3...o. | * * * 40 * ♦ 0 0 0 0 0 0 9 3 6 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 18 3 6 3 6 6 1 0 | 0 0 0 0 0 0 0 0 0 0 0 9 0 0 0 3 9 18 9 3 18 9 18 1 2 3 6 3 6 3 0 | 0 0 0 0 0 0 0 0 0 0 3 9 3 18 0 3 6 9 3 6 9 18 18 9 1 2 3 2 3 0 | 0 0 0 1 0 0 3 6 3 6 9 18 3 3 6 9 6 9 1 1 | 0 1 2 3 3 6 6 9 3 3 | 1 2 3 3 ....o3....o3....o ....o3....o3....o3....o | * * * * 5 ♦ 0 0 0 0 0 0 0 0 0 16 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 24 24 16 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 36 0 0 0 16 24 16 24 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 24 24 36 0 4 16 4 16 1 | 0 0 0 0 0 0 0 0 0 0 0 16 0 0 6 24 6 24 4 4 | 0 0 0 0 0 4 4 16 6 6 | 0 1 4 4 ----------------------------------------------+--------------+---------------------------------------+---------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------+-----------------------------------------------------------+-----------------------------+-------- oo...3oo...3oo... oo...3oo...3oo...3oo...&#x | 1 1 0 0 0 | 20 * * * * * * * * * * | 3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 6 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 4 12 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 4 12 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 6 12 0 0 0 0 0 0 0 | 3 4 0 0 .x... ..... ..... ..... ..... ..... ..... | 0 2 0 0 0 | * 30 * * * * * * * * * | 1 0 2 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 0 4 1 0 8 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 8 6 0 4 4 0 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 4 4 12 1 0 6 8 0 0 0 0 0 0 0 0 0 0 0 0 | 1 6 8 2 0 4 0 0 0 0 | 2 4 1 0 ..... ..... ..... .x... ..... ..... ..... | 0 2 0 0 0 | * * 40 * * * * * * * * | 0 1 0 3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 3 3 0 3 0 0 0 3 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 3 3 9 1 0 0 1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 9 9 0 3 0 0 3 9 0 0 0 0 0 0 0 0 0 0 | 3 3 9 0 3 0 3 0 0 0 | 3 3 0 1 .oo..3.oo..3.oo.. .oo..3.oo..3.oo..3.oo..&#x | 0 1 1 0 0 | * * * 240 * * * * * * * | 0 0 0 0 1 2 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 0 2 3 1 2 3 3 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 3 0 1 3 1 3 1 6 3 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 3 6 1 1 3 6 3 6 2 3 0 0 0 0 0 0 0 0 | 1 3 6 2 2 3 3 1 0 0 | 2 3 1 1 ..... ..x.. ..... ..... ..... ..... ..... | 0 0 2 0 0 | * * * * 120 * * * * * * | 0 0 0 0 0 2 0 0 1 1 0 0 3 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 2 0 2 1 0 0 6 1 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 0 2 0 1 0 0 6 6 3 6 0 3 3 1 0 0 0 3 0 0 0 0 0 0 0 0 | 0 1 0 3 0 0 6 6 3 3 2 6 1 0 3 1 0 0 0 0 | 0 3 3 2 1 6 3 2 1 0 | 1 3 2 1 ..... ..... ..... ..... ..x.. ..... ..... | 0 0 2 0 0 | * * * * * 180 * * * * * | 0 0 0 0 0 0 0 2 0 0 1 2 0 0 2 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 0 0 2 4 4 0 2 1 0 0 0 1 2 4 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 0 2 0 4 2 2 2 4 8 1 0 0 0 1 4 2 0 2 0 0 0 0 0 0 0 | 0 0 2 2 1 2 1 4 2 8 4 4 0 2 0 0 2 1 0 0 | 1 1 4 2 4 2 4 2 0 1 | 2 2 1 2 ..oo.3..oo.3..oo. ..oo.3..oo.3..oo.3..oo.&#x | 0 0 1 1 0 | * * * * * * 360 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 2 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 1 2 4 2 1 4 1 2 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 2 4 2 8 0 1 2 2 1 2 2 4 4 1 0 0 0 0 0 0 | 0 0 0 1 0 0 2 4 2 4 4 8 1 1 2 2 2 2 0 0 | 0 1 2 2 2 4 4 4 1 1 | 1 2 2 2 ..... ..... ...x. ..... ..... ..... ..... | 0 0 0 2 0 | * * * * * * * 60 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 2 0 0 2 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 3 0 0 0 6 1 0 0 4 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 3 0 0 1 0 0 12 6 3 0 2 2 0 0 0 | 0 0 0 0 0 0 3 0 2 0 0 12 0 0 6 6 2 3 1 0 | 0 1 0 0 0 6 4 6 3 1 | 0 2 3 2 ..... ..... ..... ..... ..... ...x. ..... | 0 0 0 2 0 | * * * * * * * * 120 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 2 1 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 6 3 3 0 1 2 0 0 2 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 1 3 0 3 6 3 6 3 1 0 0 1 2 0 | 0 0 0 0 0 0 0 2 0 3 6 6 1 3 1 3 3 6 0 1 | 0 0 1 2 3 2 3 6 1 3 | 1 1 2 3 ...oo3...oo3...oo ...oo3...oo3...oo3...oo&#x | 0 0 0 1 1 | * * * * * * * * * 80 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0 0 0 3 3 3 3 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 0 1 3 1 3 0 | 0 0 0 0 0 0 0 0 0 0 0 9 0 0 3 9 3 9 1 1 | 0 0 0 0 0 3 3 9 3 3 | 0 1 3 3 ..... ..... ..... ..... ..... ..... ....x | 0 0 0 0 2 | * * * * * * * * * * 10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 12 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18 0 0 4 0 12 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 0 18 1 4 | 0 0 0 0 0 0 0 12 3 6 | 0 0 3 4 ----------------------------------------------+--------------+---------------------------------------+---------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------+-----------------------------------------------------------+-----------------------------+-------- ox... ..... ..... ..... ..... ..... .....&#x | 1 2 0 0 0 | 2 1 0 0 0 0 0 0 0 0 0 | 30 * * * * * * * * * * * * * * * * * * * * * * | 2 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 8 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 4 4 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 6 8 0 0 0 0 0 0 0 | 2 4 0 0 ..... ..... ..... ox... ..... ..... .....&#x | 1 2 0 0 0 | 2 0 1 0 0 0 0 0 0 0 0 | * 40 * * * * * * * * * * * * * * * * * * * * * | 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 3 3 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 3 9 0 0 0 0 0 0 0 | 3 3 0 0 .x...3.o... ..... ..... ..... ..... ..... | 0 3 0 0 0 | 0 3 0 0 0 0 0 0 0 0 0 | * * 20 * * * * * * * * * * * * * * * * * * * * | 1 0 0 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 4 0 0 4 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 4 0 6 0 0 6 4 0 0 0 0 0 0 0 0 0 0 0 0 | 0 6 4 1 0 4 0 0 0 0 | 1 4 1 0 ..... ..... ..... .x...3.o... ..... ..... | 0 3 0 0 0 | 0 0 3 0 0 0 0 0 0 0 0 | * * * 40 * * * * * * * * * * * * * * * * * * * | 0 1 0 0 2 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 0 3 1 0 0 0 6 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 6 3 0 3 0 0 1 6 0 0 0 0 0 0 0 0 0 0 | 3 1 6 0 3 0 2 0 0 0 | 3 2 0 1 .xo.. ..... ..... ..... ..... ..... .....&#x | 0 2 1 0 0 | 0 1 0 2 0 0 0 0 0 0 0 | * * * * 120 * * * * * * * * * * * * * * * * * * | 0 0 1 0 0 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 3 0 1 3 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 3 6 1 0 3 6 0 0 0 0 0 0 0 0 0 0 0 0 | 1 3 6 2 0 3 0 0 0 0 | 2 3 1 0 ..... .ox.. ..... ..... ..... ..... .....&#x | 0 1 2 0 0 | 0 0 0 2 1 0 0 0 0 0 0 | * * * * * 240 * * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 1 1 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 0 1 0 1 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 3 0 0 3 3 3 3 1 3 0 0 0 0 0 0 0 0 | 0 3 3 1 1 3 3 1 0 0 | 1 3 1 1 ..... ..... ..... .xo.. ..... ..... .....&#x | 0 2 1 0 0 | 0 0 1 2 0 0 0 0 0 0 0 | * * * * * * 120 * * * * * * * * * * * * * * * * | 0 0 1 0 0 0 0 0 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 3 0 0 0 1 3 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 3 6 0 1 0 0 3 6 0 0 0 0 0 0 0 0 0 0 | 1 3 6 0 2 0 3 0 0 0 | 2 3 0 1 ..... ..... ..... ..... .ox.. ..... .....&#x | 0 1 2 0 0 | 0 0 0 2 0 1 0 0 0 0 0 | * * * * * * * 360 * * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 0 2 0 2 1 2 1 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 2 1 1 1 4 1 4 2 2 0 0 0 0 0 0 0 0 | 1 1 4 2 2 2 2 1 0 0 | 2 2 1 1 ..o..3..x.. ..... ..... ..... ..... ..... | 0 0 3 0 0 | 0 0 0 0 3 0 0 0 0 0 0 | * * * * * * * * 40 * * * * * * * * * * * * * * | 0 0 0 0 0 2 0 0 0 0 0 0 1 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 0 2 0 0 0 0 6 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 3 0 0 6 6 0 0 0 0 1 0 3 0 0 0 0 0 | 0 3 3 2 0 6 0 0 1 0 | 1 3 2 0 ..... ..x..3..o.. ..... ..... ..... ..... | 0 0 3 0 0 | 0 0 0 0 3 0 0 0 0 0 0 | * * * * * * * * * 40 * * * * * * * * * * * * * | 0 0 0 0 0 0 0 2 0 0 0 0 1 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 2 0 1 0 0 0 6 0 0 0 3 0 0 0 0 0 3 0 0 0 0 0 0 0 0 | 0 1 0 0 0 0 6 0 3 0 0 6 0 0 3 1 0 0 0 0 | 0 3 0 0 0 6 3 2 1 0 | 0 3 2 1 ..... ..... ..... ..o..3..x.. ..... ..... | 0 0 3 0 0 | 0 0 0 0 0 3 0 0 0 0 0 | * * * * * * * * * * 60 * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 0 0 0 4 0 0 0 4 0 1 0 0 0 1 4 0 0 0 0 0 0 0 0 0 0 | 0 0 2 2 0 2 0 0 2 8 0 0 0 2 0 0 2 0 0 0 | 1 1 4 0 4 0 4 0 0 1 | 2 2 0 2 ..... ..... ..... ..... ..x..3..o.. ..... | 0 0 3 0 0 | 0 0 0 0 0 3 0 0 0 0 0 | * * * * * * * * * * * 120 * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 0 2 2 0 0 0 4 1 0 0 0 0 2 2 0 1 0 0 0 0 0 0 0 | 0 0 1 0 1 2 0 2 0 4 4 2 0 2 0 0 1 1 0 0 | 1 0 2 2 4 1 2 2 0 1 | 2 1 1 2 ..... ..xo. ..... ..... ..... ..... .....&#x | 0 0 2 1 0 | 0 0 0 0 1 0 2 0 0 0 0 | * * * * * * * * * * * * 360 * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 2 2 1 4 0 1 2 1 0 0 0 2 0 0 0 0 0 0 0 0 | 0 0 0 1 0 0 2 4 1 2 2 4 1 0 2 1 0 0 0 0 | 0 1 2 2 1 4 2 2 1 0 | 1 2 2 1 ..... ..... ..ox. ..... ..... ..... .....&#x | 0 0 1 2 0 | 0 0 0 0 0 0 2 1 0 0 0 | * * * * * * * * * * * * * 180 * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 1 0 0 1 0 0 4 4 1 0 0 0 0 0 0 | 0 0 0 0 0 0 2 0 2 0 0 8 0 0 2 2 2 2 0 0 | 0 1 0 0 0 4 4 4 1 1 | 0 2 2 2 ..... ..... ..... ..... ..xo. ..... .....&#x | 0 0 2 1 0 | 0 0 0 0 0 1 2 0 0 0 0 | * * * * * * * * * * * * * * 360 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 1 2 2 4 0 0 0 0 1 2 1 0 2 0 0 0 0 0 0 0 | 0 0 0 1 0 0 1 2 2 4 2 4 0 1 0 0 2 1 0 0 | 0 1 2 1 2 2 4 2 0 1 | 1 2 1 2 ..... ..... ..... ..... ..... ..ox. .....&#x | 0 0 1 2 0 | 0 0 0 0 0 0 2 0 1 0 0 | * * * * * * * * * * * * * * * 360 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 1 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 1 2 0 1 2 2 2 1 0 0 0 0 0 0 | 0 0 0 0 0 0 0 2 0 2 4 4 1 1 1 2 1 2 0 0 | 0 0 1 2 2 2 2 4 1 1 | 1 1 2 2 ..... ...o.3...x. ..... ..... ..... ..... | 0 0 0 3 0 | 0 0 0 0 0 0 0 3 0 0 0 | * * * * * * * * * * * * * * * * 40 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 1 0 0 2 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 3 0 0 0 0 0 6 0 0 0 2 1 0 0 0 | 0 0 0 0 0 0 3 0 1 0 0 6 0 0 6 3 0 0 1 0 | 0 1 0 0 0 6 2 3 3 0 | 0 2 3 1 ..... ..... ..... ..... ...o.3...x. ..... | 0 0 0 3 0 | 0 0 0 0 0 0 0 0 3 0 0 | * * * * * * * * * * * * * * * * * 80 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 1 1 0 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 3 3 0 3 0 1 0 0 1 1 0 | 0 0 0 0 0 0 0 1 0 3 3 3 0 3 0 0 3 3 0 1 | 0 0 1 1 3 1 3 3 0 3 | 1 1 1 3 ..... ..... ..... ..... ..... ...x.3...o. | 0 0 0 3 0 | 0 0 0 0 0 0 0 0 3 0 0 | * * * * * * * * * * * * * * * * * * 40 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 2 0 0 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 6 0 0 3 1 0 0 0 2 0 | 0 0 0 0 0 0 0 0 0 0 6 0 3 1 0 3 0 6 0 1 | 0 0 0 3 2 0 0 6 1 3 | 1 0 2 3 ..... ..... ...xo ..... ..... ..... .....&#x | 0 0 0 2 1 | 0 0 0 0 0 0 0 1 0 2 0 | * * * * * * * * * * * * * * * * * * * 120 * * * | 0 0 0 0 0 0 0 0 0 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