Acronym | mou |
Name | mo-based ursaexon |
Circumradius | sqrt[(13+5 sqrt(5))/8] = 1.738546 |
Face vector | 864, 8712, 20160, 19440, 8748, 1746, 128 |
Confer |
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Incidence matrix according to Dynkin symbol
ooo3ooo3xoo3ooo3ooo *c3ofx&#xt → height(1,2) = sqrt[sqrt(5)-2] = 0.485868 height(2,3) = sqrt[(sqrt(5)-1)/2] = 0.786151 (ram || f-mo || mo) o..3o..3o..3o..3o.. *c3o.. | 720 * * | 18 2 0 0 | 36 9 18 1 0 | 12 18 18 36 9 0 | 12 6 9 12 18 18 0 0 | 2 6 12 6 9 0 | 1 2 6 0 .o.3.o.3.o.3.o.3.o. *c3.o. | * 72 * | 0 20 1 0 | 0 0 90 20 0 | 0 0 0 120 90 0 | 0 0 0 30 30 120 0 0 | 0 0 12 30 30 0 | 0 1 12 0 ..o3..o3..o3..o3..o *c3..o | * * 72 | 0 0 1 20 | 0 0 0 20 90 | 0 0 0 0 90 120 | 0 0 0 0 0 120 30 30 | 0 0 0 30 30 12 | 0 0 12 1 ---------------------------------+-----------+------------------+-------------------------+-------------------------------+------------------------------------+----------------------+---------- ... ... x.. ... ... ... | 2 0 0 | 6480 * * * | 4 1 1 0 0 | 2 4 4 4 1 0 | 4 2 4 2 4 4 0 0 | 1 4 4 2 4 0 | 1 1 4 0 oo.3oo.3oo.3oo.3oo. *c3oo.&#x | 1 1 0 | * 1440 * * | 0 0 9 1 0 | 0 0 0 18 9 0 | 0 0 0 6 9 18 0 0 | 0 0 6 6 9 0 | 0 1 6 0 .oo3.oo3.oo3.oo3.oo *c3.oo&#x | 0 1 1 | * * 72 * ♦ 0 0 0 20 0 | 0 0 0 0 90 0 | 0 0 0 0 0 120 0 0 | 0 0 0 30 30 0 | 0 0 12 0 ... ... ... ... ... ..x | 0 0 2 | * * * 720 | 0 0 0 1 9 | 0 0 0 0 9 18 | 0 0 0 0 0 18 6 9 | 0 0 0 6 9 6 | 0 0 6 1 ---------------------------------+-----------+------------------+-------------------------+-------------------------------+------------------------------------+----------------------+---------- ... o..3x.. ... ... ... & | 3 0 0 | 3 0 0 0 | 8640 * * * * | 1 2 1 1 0 0 | 3 1 2 1 2 1 0 0 | 1 3 3 1 2 0 | 1 1 3 0 ... ... x.. ... ... *c3o.. | 3 0 0 | 3 0 0 0 | * 2160 * * * | 0 0 4 0 1 0 | 0 2 4 0 0 4 0 0 | 0 4 0 2 4 0 | 1 0 4 0 ... ... xo. ... ... ...&#x | 2 1 0 | 1 2 0 0 | * * 6480 * * | 0 0 0 4 1 0 | 0 0 0 2 4 4 0 0 | 0 0 4 2 4 0 | 0 1 4 0 ... ... ... ... ... ofx&#xt | 1 2 2 | 0 2 2 1 | * * * 720 * ♦ 0 0 0 0 9 0 | 0 0 0 0 0 18 0 0 | 0 0 0 6 9 0 | 0 0 6 0 ... ... ..o ... ... *c3..x | 0 0 3 | 0 0 0 3 | * * * * 2160 | 0 0 0 0 1 4 | 0 0 0 0 0 4 2 4 | 0 0 0 2 4 4 | 0 0 4 1 ---------------------------------+-----------+------------------+-------------------------+-------------------------------+------------------------------------+----------------------+---------- o..3o..3x.. ... ... ... & ♦ 4 0 0 | 6 0 0 0 | 4 0 0 0 0 | 2160 * * * * * | 2 1 0 1 0 0 0 0 | 1 2 2 1 0 0 | 1 1 2 0 ... o..3x..3o.. ... ... ♦ 6 0 0 | 12 0 0 0 | 8 0 0 0 0 | * 2160 * * * * | 2 0 1 0 1 0 0 0 | 1 2 2 0 1 0 | 1 1 2 0 ... o..3x.. ... ... *c3o.. & ♦ 6 0 0 | 12 0 0 0 | 4 4 0 0 0 | * * 2160 * * * | 0 1 2 0 0 1 0 0 | 0 3 0 1 2 0 | 1 0 3 0 ... oo.3xo. ... ... ...&#x & ♦ 3 1 0 | 3 3 0 0 | 1 0 3 0 0 | * * * 8640 * * | 0 0 0 1 2 1 0 0 | 0 0 3 1 2 0 | 0 1 3 0 ... ... xoo ... ... *c3ofx&#xt ♦ 3 3 3 | 3 6 3 3 | 0 1 3 3 1 | * * * * 2160 * | 0 0 0 0 0 4 0 0 | 0 0 0 2 4 0 | 0 0 4 0 ... o..3o.. ... ... *c3..x & ♦ 0 0 4 | 0 0 0 6 | 0 0 0 0 4 | * * * * * 2160 | 0 0 0 0 0 1 1 2 | 0 0 0 1 2 3 | 0 0 3 1 ---------------------------------+-----------+------------------+-------------------------+-------------------------------+------------------------------------+----------------------+---------- o..3o..3x..3o.. ... ... & ♦ 10 0 0 | 30 0 0 0 | 30 0 0 0 0 | 5 5 0 0 0 0 | 864 * * * * * * * | 1 1 1 0 0 0 | 1 1 1 0 o..3o..3x.. ... ... *c3o.. & ♦ 10 0 0 | 30 0 0 0 | 20 10 0 0 0 | 5 0 5 0 0 0 | * 432 * * * * * * | 0 2 0 1 0 0 | 1 0 2 0 ... o..3x..3o.. ... *c3o.. ♦ 24 0 0 | 96 0 0 0 | 64 32 0 0 0 | 0 8 16 0 0 0 | * * 270 * * * * * | 0 2 0 0 1 0 | 1 0 2 0 oo.3oo.3xo. ... ... ...&#x & ♦ 4 1 0 | 6 4 0 0 | 4 0 6 0 0 | 1 0 0 4 0 0 | * * * 2160 * * * * | 0 0 2 1 0 0 | 0 1 2 0 ... oo.3xo.3oo. ... ...&#x ♦ 6 1 0 | 12 6 0 0 | 8 0 12 0 0 | 0 1 0 8 0 0 | * * * * 2160 * * * | 0 0 2 0 1 0 | 0 1 2 0 ... ooo3xoo ... ... *c3ofx&#xt & ♦ 6 4 4 | 12 12 4 6 | 4 4 12 6 4 | 0 0 1 4 4 1 | * * * * * 2160 * * | 0 0 0 1 2 0 | 0 0 3 0 o..3o..3o.. ... ... *c3..x & ♦ 0 0 5 | 0 0 0 10 | 0 0 0 0 10 | 0 0 0 0 0 5 | * * * * * * 432 * | 0 0 0 1 0 2 | 0 0 2 1 ... o..3o..3o.. ... *c3..x ♦ 0 0 8 | 0 0 0 24 | 0 0 0 0 32 | 0 0 0 0 0 16 | * * * * * * * 270 | 0 0 0 0 1 2 | 0 0 2 1 ---------------------------------+-----------+------------------+-------------------------+-------------------------------+------------------------------------+----------------------+---------- o..3o..3x..3o..3o.. ... ♦ 20 0 0 | 90 0 0 0 | 120 0 0 0 0 | 30 30 0 0 0 0 | 12 0 0 0 0 0 0 0 | 72 * * * * * | 1 1 0 0 o..3o..3x..3o.. ... *c3o.. & ♦ 80 0 0 | 480 0 0 0 | 480 160 0 0 0 | 80 80 120 0 0 0 | 16 16 10 0 0 0 0 0 | * 54 * * * * | 1 0 1 0 oo.3oo.3xo.3oo. ... ...&#x & ♦ 10 1 0 | 30 10 0 0 | 30 0 30 0 0 | 5 5 0 30 0 0 | 1 0 0 5 5 0 0 0 | * * 864 * * * | 0 1 1 0 ooo3ooo3xoo ... ... *c3ofx&#xt & ♦ 10 5 5 | 30 20 5 10 | 20 10 30 10 10 | 5 0 5 20 10 5 | 0 1 0 5 0 5 1 0 | * * * 432 * * | 0 2 0 0 ... ooo3xoo3ooo ... *c3ofx&#xt ♦ 24 8 8 | 96 48 8 24 | 64 32 96 24 32 | 0 8 16 64 32 16 | 0 0 1 0 8 16 0 1 | * * * * 270 * | 0 0 2 0 o..3o..3o..3o.. ... *c3..x & ♦ 0 0 16 | 0 0 0 80 | 0 0 0 0 160 | 0 0 0 0 0 120 | 0 0 0 0 0 0 16 10 | * * * * * 54 | 0 0 1 1 ---------------------------------+-----------+------------------+-------------------------+-------------------------------+------------------------------------+----------------------+---------- o..3o..3x..3o..3o.. *c3o.. ♦ 720 0 0 | 6480 0 0 0 | 8640 2160 0 0 0 | 2160 2160 2160 0 0 0 | 864 432 270 0 0 0 0 0 | 72 54 0 0 0 0 | 1 * * * oo.3oo.3xo.3oo.3oo. ...&#x ♦ 20 1 0 | 90 20 0 0 | 120 0 90 0 0 | 30 30 0 120 0 0 | 12 0 0 30 30 0 0 0 | 1 0 12 0 0 0 | * 72 * * ooo3ooo3xoo3ooo ... *c3ofx&#xt & ♦ 80 16 16 | 480 160 16 80 | 480 160 480 80 160 | 80 80 120 480 160 120 | 16 16 10 80 80 120 16 10 | 0 1 16 16 10 1 | * * 54 * o..3o..3o..3o..3o.. *c3..x ♦ 0 0 72 | 0 0 0 720 | 0 0 0 0 2160 | 0 0 0 0 0 2160 | 0 0 0 0 0 0 432 270 | 0 0 0 0 0 54 | * * * 1
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