Acronym | hopalril |
Name |
hop atop inverted ril, hop-first cap of naq |
Circumradius | sqrt(3)/2 = 0.866025 |
Face vector | 28, 231, 840, 1575, 1554, 721, 107 |
Confer |
|
Incidence matrix according to Dynkin symbol
xo3oo3oo3oo3ox3oo&#x → height = 1/sqrt(7) = 0.377964
(hop || inv ril)
o.3o.3o.3o.3o.3o. | 7 * ♦ 6 15 0 | 15 60 60 0 0 | 20 90 180 60 20 0 0 | 15 60 180 120 60 30 0 0 0 | 6 15 60 60 60 30 30 6 6 0 0 | 1 6 20 15 6 1 0
.o3.o3.o3.o3.o3.o | * 21 | 0 5 10 | 0 10 40 20 5 | 0 10 60 60 20 20 10 | 0 5 40 60 30 40 30 10 10 | 0 1 10 20 20 20 30 10 20 2 5 | 0 2 5 10 10 5 1
---------------------+------+------------+-------------------+---------------------------+----------------------------------+------------------------------------+-----------------
x. .. .. .. .. .. | 2 0 | 21 * * ♦ 5 10 0 0 0 | 10 30 30 0 0 0 0 | 10 30 60 20 10 0 0 0 0 | 5 10 30 20 20 5 5 0 0 0 0 | 1 5 10 5 1 0 0
oo3oo3oo3oo3oo3oo&#x | 1 1 | * 105 * | 0 4 8 0 0 | 0 6 24 12 4 0 0 | 0 4 24 24 12 8 6 0 0 | 0 1 8 12 12 8 12 2 4 0 0 | 0 2 4 6 4 1 0
.. .. .. .. .x .. | 0 2 | * * 105 | 0 0 4 4 1 | 0 0 6 12 4 6 4 | 0 0 4 12 6 12 12 4 6 | 0 0 1 4 4 6 12 4 12 1 4 | 0 1 1 4 6 4 1
---------------------+------+------------+-------------------+---------------------------+----------------------------------+------------------------------------+-----------------
x.3o. .. .. .. .. | 3 0 | 3 0 0 | 35 * * * * ♦ 4 6 0 0 0 0 0 | 6 12 12 0 0 0 0 0 0 | 4 6 12 4 4 0 0 0 0 0 0 | 1 4 4 1 0 0 0
xo .. .. .. .. ..&#x | 2 1 | 1 2 0 | * 210 * * * | 0 3 6 0 0 0 0 | 0 3 12 6 3 0 0 0 0 | 0 1 6 6 6 2 3 0 0 0 0 | 0 2 3 3 1 0 0
.. .. .. .. ox ..&#x | 1 2 | 0 2 1 | * * 420 * * | 0 0 3 3 1 0 0 | 0 0 3 6 3 3 3 0 0 | 0 0 1 3 3 3 6 1 3 0 0 | 0 1 1 3 3 1 0
.. .. .. .o3.x .. | 0 3 | 0 0 3 | * * * 140 * | 0 0 0 3 0 3 1 | 0 0 0 3 0 6 3 3 3 | 0 0 0 1 0 3 3 3 6 1 3 | 0 1 0 1 3 3 1
.. .. .. .. .x3.o | 0 3 | 0 0 3 | * * * * 35 | 0 0 0 0 4 0 4 | 0 0 0 0 6 0 12 0 6 | 0 0 0 0 4 0 12 0 12 0 4 | 0 0 1 4 6 4 1
---------------------+------+------------+-------------------+---------------------------+----------------------------------+------------------------------------+-----------------
x.3o.3o. .. .. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 35 * * * * * * ♦ 3 3 0 0 0 0 0 0 0 | 3 3 3 0 0 0 0 0 0 0 0 | 1 3 1 0 0 0 0
xo3oo .. .. .. ..&#x ♦ 3 1 | 3 3 0 | 1 3 0 0 0 | * 210 * * * * * | 0 2 4 0 0 0 0 0 0 | 0 1 4 2 2 0 0 0 0 0 0 | 0 2 2 1 0 0 0
xo .. .. .. ox ..&#x ♦ 2 2 | 1 4 1 | 0 2 2 0 0 | * * 630 * * * * | 0 0 2 2 1 0 0 0 0 | 0 0 1 2 2 1 2 0 0 0 0 | 0 1 1 2 1 0 0
.. .. .. oo3ox ..&#x ♦ 1 3 | 0 3 3 | 0 0 3 1 0 | * * * 420 * * * | 0 0 0 2 0 2 1 0 0 | 0 0 0 1 0 2 2 1 2 0 0 | 0 1 0 1 2 1 0
.. .. .. .. ox3oo&#x ♦ 1 3 | 0 3 3 | 0 0 3 0 1 | * * * * 140 * * | 0 0 0 0 3 0 3 0 0 | 0 0 0 0 3 0 6 0 3 0 0 | 0 0 1 3 3 1 0
.. .. .o3.o3.x .. ♦ 0 4 | 0 0 6 | 0 0 0 4 0 | * * * * * 105 * | 0 0 0 0 0 2 0 2 1 | 0 0 0 0 0 1 0 2 2 1 2 | 0 1 0 0 1 2 1
.. .. .. .o3.x3.o ♦ 0 6 | 0 0 12 | 0 0 0 4 4 | * * * * * * 35 | 0 0 0 0 0 0 3 0 3 | 0 0 0 0 0 0 3 0 6 0 3 | 0 0 0 1 3 3 1
---------------------+------+------------+-------------------+---------------------------+----------------------------------+------------------------------------+-----------------
x.3o.3o.3o. .. .. ♦ 5 0 | 10 0 0 | 10 0 0 0 0 | 5 0 0 0 0 0 0 | 21 * * * * * * * * | 2 1 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 0
xo3oo3oo .. .. ..&#x ♦ 4 1 | 6 4 0 | 4 6 0 0 0 | 1 4 0 0 0 0 0 | * 105 * * * * * * * | 0 1 2 0 0 0 0 0 0 0 0 | 0 2 1 0 0 0 0
xo3oo .. .. ox ..&#x ♦ 3 2 | 3 6 1 | 1 6 3 0 0 | 0 2 3 0 0 0 0 | * * 420 * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 | 0 1 1 1 0 0 0
xo .. .. oo3ox ..&#x ♦ 2 3 | 1 6 3 | 0 3 6 1 0 | 0 0 3 2 0 0 0 | * * * 420 * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 0 1 1 0 0
xo .. .. .. ox3oo&#x ♦ 2 3 | 1 6 3 | 0 3 6 0 1 | 0 0 3 0 2 0 0 | * * * * 210 * * * * | 0 0 0 0 2 0 2 0 0 0 0 | 0 0 1 2 1 0 0
.. .. oo3oo3ox ..&#x ♦ 1 4 | 0 4 6 | 0 0 6 4 0 | 0 0 0 4 0 1 0 | * * * * * 210 * * * | 0 0 0 0 0 1 0 1 1 0 0 | 0 1 0 0 1 1 0
.. .. .. oo3ox3oo&#x ♦ 1 6 | 0 6 12 | 0 0 12 4 4 | 0 0 0 4 4 0 1 | * * * * * * 105 * * | 0 0 0 0 0 0 2 0 2 0 0 | 0 0 0 1 2 1 0
.. .o3.o3.o3.x .. ♦ 0 5 | 0 0 10 | 0 0 0 10 0 | 0 0 0 0 0 5 0 | * * * * * * * 42 * | 0 0 0 0 0 0 0 1 0 1 1 | 0 1 0 0 0 1 1
.. .. .o3.o3.x3.o ♦ 0 10 | 0 0 30 | 0 0 0 20 10 | 0 0 0 0 0 5 5 | * * * * * * * * 21 | 0 0 0 0 0 0 0 0 2 0 2 | 0 0 0 0 1 2 1
---------------------+------+------------+-------------------+---------------------------+----------------------------------+------------------------------------+-----------------
x.3o.3o.3o.3o. .. ♦ 6 0 | 15 0 0 | 20 0 0 0 0 | 15 0 0 0 0 0 0 | 6 0 0 0 0 0 0 0 0 | 7 * * * * * * * * * * | 1 1 0 0 0 0 0
xo3oo3oo3oo .. ..&#x ♦ 5 1 | 10 5 0 | 10 10 0 0 0 | 5 10 0 0 0 0 0 | 1 5 0 0 0 0 0 0 0 | * 21 * * * * * * * * * | 0 2 0 0 0 0 0
xo3oo3oo .. ox ..&#x ♦ 4 2 | 6 8 1 | 4 12 4 0 0 | 1 8 6 0 0 0 0 | 0 2 4 0 0 0 0 0 0 | * * 105 * * * * * * * * | 0 1 1 0 0 0 0
xo3oo .. oo3ox ..&#x ♦ 3 3 | 3 9 3 | 1 9 9 1 0 | 0 3 9 3 0 0 0 | 0 0 3 3 0 0 0 0 0 | * * * 140 * * * * * * * | 0 1 0 1 0 0 0
xo3oo .. .. ox3oo&#x ♦ 3 3 | 3 9 3 | 1 9 9 0 1 | 0 3 9 0 3 0 0 | 0 0 3 0 3 0 0 0 0 | * * * * 140 * * * * * * | 0 0 1 1 0 0 0
xo .. oo3oo3ox ..&#x ♦ 2 4 | 1 8 6 | 0 4 12 4 0 | 0 0 6 8 0 1 0 | 0 0 0 4 0 2 0 0 0 | * * * * * 105 * * * * * | 0 1 0 0 1 0 0
xo .. .. oo3ox3oo&#x ♦ 2 6 | 1 12 12 | 0 6 24 4 4 | 0 0 12 8 8 0 1 | 0 0 0 4 4 0 2 0 0 | * * * * * * 105 * * * * | 0 0 0 1 1 0 0
.. oo3oo3oo3ox ..&#x ♦ 1 5 | 0 5 10 | 0 0 10 10 0 | 0 0 0 10 0 5 0 | 0 0 0 0 0 5 0 1 0 | * * * * * * * 42 * * * | 0 1 0 0 0 1 0
.. .. oo3oo3ox3oo&#x ♦ 1 10 | 0 10 30 | 0 0 30 20 10 | 0 0 0 20 10 5 5 | 0 0 0 0 0 5 5 0 1 | * * * * * * * * 42 * * | 0 0 0 0 1 1 0
.o3.o3.o3.o3.x .. ♦ 0 6 | 0 0 15 | 0 0 0 20 0 | 0 0 0 0 0 15 0 | 0 0 0 0 0 0 0 6 0 | * * * * * * * * * 7 * | 0 1 0 0 0 0 1
.. .o3.o3.o3.x3.o ♦ 0 15 | 0 0 60 | 0 0 0 60 20 | 0 0 0 0 0 30 15 | 0 0 0 0 0 0 0 6 6 | * * * * * * * * * * 7 | 0 0 0 0 0 1 1
---------------------+------+------------+-------------------+---------------------------+----------------------------------+------------------------------------+-----------------
x.3o.3o.3o.3o.3o. ♦ 7 0 | 21 0 0 | 35 0 0 0 0 | 35 0 0 0 0 0 0 | 21 0 0 0 0 0 0 0 0 | 7 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * *
xo3oo3oo3oo3ox ..&#x ♦ 6 6 | 15 30 15 | 20 60 60 20 0 | 15 60 90 60 0 15 0 | 6 30 60 60 0 30 0 6 0 | 1 6 15 20 0 15 0 6 0 1 0 | * 7 * * * * *
xo3oo3oo .. ox3oo&#x ♦ 4 3 | 6 12 3 | 4 18 12 0 1 | 1 12 18 0 4 0 0 | 0 3 12 0 6 0 0 0 0 | 0 0 3 0 4 0 0 0 0 0 0 | * * 35 * * * *
xo3oo .. oo3ox3oo&#x ♦ 3 6 | 3 18 12 | 1 18 36 4 4 | 0 6 36 12 12 0 1 | 0 0 12 12 12 0 3 0 0 | 0 0 0 4 4 0 3 0 0 0 0 | * * * 35 * * *
xo .. oo3oo3ox3oo&#x ♦ 2 10 | 1 20 30 | 0 10 60 20 10 | 0 0 30 40 20 5 5 | 0 0 0 20 10 10 10 0 1 | 0 0 0 0 0 5 5 0 2 0 0 | * * * * 21 * *
.. oo3oo3oo3ox3oo&#x ♦ 1 15 | 0 15 60 | 0 0 60 60 20 | 0 0 0 60 20 30 15 | 0 0 0 0 0 30 15 6 6 | 0 0 0 0 0 0 0 6 6 0 1 | * * * * * 7 *
.o3.o3.o3.o3.x3.o ♦ 0 21 | 0 0 105 | 0 0 0 140 35 | 0 0 0 0 0 105 35 | 0 0 0 0 0 0 0 42 21 | 0 0 0 0 0 0 0 0 0 7 7 | * * * * * * 1
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