Acronym | rilastaf |
Name |
ril atop staf, ril-first rotunda of rez |
Circumradius | 1 |
Coordinates | (1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0, 0) & all permutations, all changes of sign, but last coord. not negative |
Face vector | 63, 525, 1610, 2590, 2282, 966, 128 |
Confer |
|
Incidence matrix according to Dynkin symbol
ox3xo3oo3oo3oo3ox&#x → height = sqrt(2/7) = 0.534522
(ril || staf)
o.3o.3o.3o.3o.3o. | 21 * ♦ 10 10 0 0 | 5 20 5 40 20 0 0 0 | 10 20 20 10 60 60 20 0 0 0 0 | 10 10 30 60 60 10 40 60 40 0 0 0 0 0 | 5 2 20 30 40 5 10 20 20 10 2 0 0 0 0 0 0 | 1 5 10 10 5 1 2 0
.o3.o3.o3.o3.o3.o | * 42 | 0 5 5 5 | 0 0 5 10 20 10 20 10 | 0 0 10 20 10 30 30 10 30 30 10 | 0 0 10 30 30 5 20 30 20 5 20 30 20 5 | 0 0 5 20 30 20 1 5 10 10 5 1 5 10 10 5 1 | 0 1 5 10 10 5 1 1
---------------------+-------+-----------------+--------------------------------+--------------------------------------------+-----------------------------------------------------+------------------------------------------------------+--------------------
.. x. .. .. .. .. | 2 0 | 105 * * * | 1 4 0 4 0 0 0 0 | 4 6 4 0 12 6 0 0 0 0 0 | 6 4 12 6 0 12 12 4 0 0 0 0 0 0 | 4 1 12 12 4 0 4 6 4 1 0 0 0 0 0 0 0 | 1 4 6 4 1 0 1 0
oo3oo3oo3oo3oo3oo&#x | 1 1 | * 210 * * | 0 0 1 4 4 0 0 0 | 0 0 4 4 6 12 6 0 0 0 0 | 0 0 6 12 6 4 12 12 4 0 0 0 0 0 | 0 0 4 12 12 4 1 4 6 4 1 0 0 0 0 0 0 | 0 1 4 6 4 1 1 0
.x .. .. .. .. .. | 0 2 | * * 105 * | 0 0 1 0 0 4 4 0 | 0 0 4 4 0 0 0 6 12 6 0 | 0 0 6 12 6 0 0 0 0 4 12 12 4 0 | 0 0 4 12 12 4 0 0 0 0 0 1 4 6 4 1 0 | 0 1 4 6 4 1 0 1
.. .. .. .. .. .x | 0 2 | * * * 105 | 0 0 0 0 4 0 4 4 | 0 0 0 4 0 6 12 0 6 12 6 | 0 0 0 6 12 0 4 12 12 0 4 12 12 4 | 0 0 0 4 12 12 0 1 4 6 4 0 1 4 6 4 1 | 0 0 1 4 6 4 1 1
---------------------+-------+-----------------+--------------------------------+--------------------------------------------+-----------------------------------------------------+------------------------------------------------------+--------------------
o.3x. .. .. .. .. | 3 0 | 3 0 0 0 | 35 * * * * * * * ♦ 4 0 4 0 0 0 0 0 0 0 0 | 6 0 12 6 0 0 0 0 0 0 0 0 0 0 | 4 0 12 12 4 0 0 0 0 0 0 0 0 0 0 0 0 | 1 4 6 4 1 0 0 0
.. x.3o. .. .. .. | 3 0 | 3 0 0 0 | * 140 * * * * * * | 1 3 0 0 3 0 0 0 0 0 0 | 3 3 3 0 0 6 3 0 0 0 0 0 0 0 | 3 1 6 3 0 0 3 3 1 0 0 0 0 0 0 0 0 | 1 3 3 1 0 0 1 0
ox .. .. .. .. ..&#x | 1 2 | 0 2 1 0 | * * 105 * * * * * ♦ 0 0 4 4 0 0 0 0 0 0 0 | 0 0 6 12 6 0 0 0 0 0 0 0 0 0 | 0 0 4 12 12 4 0 0 0 0 0 0 0 0 0 0 0 | 0 1 4 6 4 1 0 0
.. xo .. .. .. ..&#x | 2 1 | 1 2 0 0 | * * * 420 * * * * | 0 0 1 0 3 3 0 0 0 0 0 | 0 0 3 3 0 3 6 3 0 0 0 0 0 0 | 0 0 3 6 3 0 1 3 3 1 0 0 0 0 0 0 0 | 0 1 3 3 1 0 1 0
.. .. .. .. .. ox&#x | 1 2 | 0 2 0 1 | * * * * 420 * * * | 0 0 0 1 0 3 3 0 0 0 0 | 0 0 0 3 3 0 3 6 3 0 0 0 0 0 | 0 0 0 3 6 3 0 1 3 3 1 0 0 0 0 0 0 | 0 0 1 3 3 1 1 0
.x3.o .. .. .. .. | 0 3 | 0 0 3 0 | * * * * * 140 * * | 0 0 1 0 0 0 0 3 3 0 0 | 0 0 3 3 0 0 0 0 0 3 6 3 0 0 | 0 0 3 6 3 0 0 0 0 0 0 1 3 3 1 0 0 | 0 1 3 3 1 0 0 1
.x .. .. .. .. .x | 0 4 | 0 0 2 2 | * * * * * * 210 * | 0 0 0 1 0 0 0 0 3 3 0 | 0 0 0 3 3 0 0 0 0 0 3 6 3 0 | 0 0 0 3 6 3 0 0 0 0 0 0 1 3 3 1 0 | 0 0 1 3 3 1 0 1
.. .. .. .. .o3.x | 0 3 | 0 0 0 3 | * * * * * * * 140 | 0 0 0 0 0 0 3 0 0 3 3 | 0 0 0 0 3 0 0 3 6 0 0 3 6 3 | 0 0 0 0 3 6 0 0 1 3 3 0 0 1 3 3 1 | 0 0 0 1 3 3 1 1
---------------------+-------+-----------------+--------------------------------+--------------------------------------------+-----------------------------------------------------+------------------------------------------------------+--------------------
o.3x.3o. .. .. .. ♦ 6 0 | 12 0 0 0 | 4 4 0 0 0 0 0 0 | 35 * * * * * * * * * * ♦ 3 0 3 0 0 0 0 0 0 0 0 0 0 0 | 3 0 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 3 3 1 0 0 0 0
.. x.3o.3o. .. .. ♦ 4 0 | 6 0 0 0 | 0 4 0 0 0 0 0 0 | * 105 * * * * * * * * * | 1 2 0 0 0 2 0 0 0 0 0 0 0 0 | 2 1 2 0 0 0 2 1 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 1 0
ox3xo .. .. .. ..&#x ♦ 3 3 | 3 6 3 0 | 1 0 3 3 0 1 0 0 | * * 140 * * * * * * * * ♦ 0 0 3 3 0 0 0 0 0 0 0 0 0 0 | 0 0 3 6 3 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 3 3 1 0 0 0
ox .. .. .. .. ox&#x ♦ 1 4 | 0 4 2 2 | 0 0 2 0 2 0 1 0 | * * * 210 * * * * * * * | 0 0 0 3 3 0 0 0 0 0 0 0 0 0 | 0 0 0 3 6 3 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 3 3 1 0 0
.. xo3oo .. .. ..&#x ♦ 3 1 | 3 3 0 0 | 0 1 0 3 0 0 0 0 | * * * * 420 * * * * * * | 0 0 1 0 0 2 2 0 0 0 0 0 0 0 | 0 0 2 2 0 0 1 2 1 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 1 0
.. xo .. .. .. ox&#x ♦ 2 2 | 1 4 0 1 | 0 0 0 2 2 0 0 0 | * * * * * 630 * * * * * | 0 0 0 1 0 0 2 2 0 0 0 0 0 0 | 0 0 0 2 2 0 0 1 2 1 0 0 0 0 0 0 0 | 0 0 1 2 1 0 1 0
.. .. .. .. oo3ox&#x ♦ 1 3 | 0 3 0 3 | 0 0 0 0 3 0 0 1 | * * * * * * 420 * * * * | 0 0 0 0 1 0 0 2 2 0 0 0 0 0 | 0 0 0 0 2 2 0 0 1 2 1 0 0 0 0 0 0 | 0 0 0 1 2 1 1 0
.x3.o3.o .. .. .. ♦ 0 4 | 0 0 6 0 | 0 0 0 0 0 4 0 0 | * * * * * * * 105 * * * | 0 0 1 0 0 0 0 0 0 2 2 0 0 0 | 0 0 2 2 0 0 0 0 0 0 0 1 2 1 0 0 0 | 0 1 2 1 0 0 0 1
.x3.o .. .. .. .x ♦ 0 6 | 0 0 6 3 | 0 0 0 0 0 2 3 0 | * * * * * * * * 210 * * | 0 0 0 1 0 0 0 0 0 0 2 2 0 0 | 0 0 0 2 2 0 0 0 0 0 0 0 1 2 1 0 0 | 0 0 1 2 1 0 0 1
.x .. .. .. .o3.x ♦ 0 6 | 0 0 3 6 | 0 0 0 0 0 0 3 2 | * * * * * * * * * 210 * | 0 0 0 0 1 0 0 0 0 0 0 2 2 0 | 0 0 0 0 2 2 0 0 0 0 0 0 0 1 2 1 0 | 0 0 0 1 2 1 0 1
.. .. .. .o3.o3.x ♦ 0 4 | 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * * * * * 105 | 0 0 0 0 0 0 0 0 2 0 0 0 2 2 | 0 0 0 0 0 2 0 0 0 1 2 0 0 0 1 2 1 | 0 0 0 0 1 2 1 1
---------------------+-------+-----------------+--------------------------------+--------------------------------------------+-----------------------------------------------------+------------------------------------------------------+--------------------
o.3x.3o.3o. .. .. ♦ 10 0 | 30 0 0 0 | 10 20 0 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 0 0 | 21 * * * * * * * * * * * * * | 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0
.. x.3o.3o.3o. .. ♦ 5 0 | 10 0 0 0 | 0 10 0 0 0 0 0 0 | 0 5 0 0 0 0 0 0 0 0 0 | * 42 * * * * * * * * * * * * | 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 0 0 0 1 0
ox3xo3oo .. .. ..&#x ♦ 6 4 | 12 12 6 0 | 4 4 6 12 0 4 0 0 | 1 0 4 0 4 0 0 1 0 0 0 | * * 105 * * * * * * * * * * * | 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 0 0
ox3xo .. .. .. ox&#x ♦ 3 6 | 3 12 6 3 | 1 0 6 6 6 2 3 0 | 0 0 2 3 0 3 0 0 1 0 0 | * * * 210 * * * * * * * * * * | 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 2 1 0 0 0
ox .. .. .. oo3ox&#x ♦ 1 6 | 0 6 3 6 | 0 0 3 0 6 0 3 2 | 0 0 0 3 0 0 2 0 0 1 0 | * * * * 210 * * * * * * * * * | 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 2 1 0 0
.. xo3oo3oo .. ..&#x ♦ 4 1 | 6 4 0 0 | 0 4 0 6 0 0 0 0 | 0 1 0 0 4 0 0 0 0 0 0 | * * * * * 210 * * * * * * * * | 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 0 0 0 1 0
.. xo3oo .. .. ox&#x ♦ 3 2 | 3 6 0 1 | 0 1 0 6 3 0 0 0 | 0 0 0 0 2 3 0 0 0 0 0 | * * * * * * 420 * * * * * * * | 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 | 0 0 1 1 0 0 1 0
.. xo .. .. oo3ox&#x ♦ 2 3 | 1 6 0 3 | 0 0 0 3 6 0 0 1 | 0 0 0 0 0 3 2 0 0 0 0 | * * * * * * * 420 * * * * * * | 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 | 0 0 0 1 1 0 1 0
.. .. .. oo3oo3ox&#x ♦ 1 4 | 0 4 0 6 | 0 0 0 0 6 0 0 4 | 0 0 0 0 0 0 4 0 0 0 1 | * * * * * * * * 210 * * * * * | 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 | 0 0 0 0 1 1 1 0
.x3.o3.o3.o .. .. ♦ 0 5 | 0 0 10 0 | 0 0 0 0 0 10 0 0 | 0 0 0 0 0 0 0 5 0 0 0 | * * * * * * * * * 42 * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 | 0 1 1 0 0 0 0 1
.x3.o3.o .. .. .x ♦ 0 8 | 0 0 12 4 | 0 0 0 0 0 8 6 0 | 0 0 0 0 0 0 0 2 4 0 0 | * * * * * * * * * * 105 * * * | 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 0 0 1 1 0 0 0 1
.x3.o .. .. .o3.x ♦ 0 9 | 0 0 9 9 | 0 0 0 0 0 3 9 3 | 0 0 0 0 0 0 0 0 3 3 0 | * * * * * * * * * * * 140 * * | 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 | 0 0 0 1 1 0 0 1
.x .. .. .o3.o3.x ♦ 0 8 | 0 0 4 12 | 0 0 0 0 0 0 6 8 | 0 0 0 0 0 0 0 0 0 4 2 | * * * * * * * * * * * * 105 * | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 | 0 0 0 0 1 1 0 1
.. .. .o3.o3.o3.x ♦ 0 5 | 0 0 0 10 | 0 0 0 0 0 0 0 10 | 0 0 0 0 0 0 0 0 0 0 5 | * * * * * * * * * * * * * 42 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 | 0 0 0 0 0 1 1 1
---------------------+-------+-----------------+--------------------------------+--------------------------------------------+-----------------------------------------------------+------------------------------------------------------+--------------------
o.3x.3o.3o.3o. .. ♦ 15 0 | 60 0 0 0 | 20 60 0 0 0 0 0 0 | 15 30 0 0 0 0 0 0 0 0 0 | 6 6 0 0 0 0 0 0 0 0 0 0 0 0 | 7 * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0
.. x.3o.3o.3o.3o. ♦ 6 0 | 15 0 0 0 | 0 20 0 0 0 0 0 0 | 0 15 0 0 0 0 0 0 0 0 0 | 0 6 0 0 0 0 0 0 0 0 0 0 0 0 | * 7 * * * * * * * * * * * * * * * | 1 0 0 0 0 0 1 0
ox3xo3oo3oo .. ..&#x ♦ 10 5 | 30 20 10 0 | 10 20 10 30 0 10 0 0 | 5 5 10 0 20 0 0 5 0 0 0 | 1 0 5 0 0 5 0 0 0 1 0 0 0 0 | * * 42 * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0
ox3xo3oo .. .. ox&#x ♦ 6 8 | 12 24 12 4 | 4 4 12 24 12 8 6 0 | 1 0 8 6 8 12 0 2 4 0 0 | 0 0 2 4 0 0 4 0 0 0 1 0 0 0 | * * * 105 * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0
ox3xo .. .. oo3ox&#x ♦ 3 9 | 3 18 9 9 | 1 0 9 9 18 3 9 3 | 0 0 3 9 0 9 6 0 3 3 0 | 0 0 0 3 3 0 0 3 0 0 0 1 0 0 | * * * * 140 * * * * * * * * * * * * | 0 0 0 1 1 0 0 0
ox .. .. oo3oo3ox&#x ♦ 1 8 | 0 8 4 12 | 0 0 4 0 12 0 6 8 | 0 0 0 6 0 0 8 0 0 4 2 | 0 0 0 0 4 0 0 0 2 0 0 0 1 0 | * * * * * 105 * * * * * * * * * * * | 0 0 0 0 1 1 0 0
.. xo3oo3oo3oo ..&#x ♦ 5 1 | 10 5 0 0 | 0 10 0 10 0 0 0 0 | 0 5 0 0 10 0 0 0 0 0 0 | 0 1 0 0 0 5 0 0 0 0 0 0 0 0 | * * * * * * 42 * * * * * * * * * * | 0 1 0 0 0 0 1 0
.. xo3oo3oo .. ox&#x ♦ 4 2 | 6 8 0 1 | 0 4 0 12 4 0 0 0 | 0 1 0 0 8 6 0 0 0 0 0 | 0 0 0 0 0 2 4 0 0 0 0 0 0 0 | * * * * * * * 105 * * * * * * * * * | 0 0 1 0 0 0 1 0
.. xo3oo .. oo3ox&#x ♦ 3 3 | 3 9 0 3 | 0 1 0 9 9 0 0 1 | 0 0 0 0 3 9 3 0 0 0 0 | 0 0 0 0 0 0 3 3 0 0 0 0 0 0 | * * * * * * * * 140 * * * * * * * * | 0 0 0 1 0 0 1 0
.. xo .. oo3oo3ox&#x ♦ 2 4 | 1 8 0 6 | 0 0 0 4 12 0 0 4 | 0 0 0 0 0 6 8 0 0 0 1 | 0 0 0 0 0 0 0 4 2 0 0 0 0 0 | * * * * * * * * * 105 * * * * * * * | 0 0 0 0 1 0 1 0
.. .. oo3oo3oo3ox&#x ♦ 1 5 | 0 5 0 10 | 0 0 0 0 10 0 0 10 | 0 0 0 0 0 0 10 0 0 0 5 | 0 0 0 0 0 0 0 0 5 0 0 0 0 1 | * * * * * * * * * * 42 * * * * * * | 0 0 0 0 0 1 1 0
.x3.o3.o3.o3.o .. ♦ 0 6 | 0 0 15 0 | 0 0 0 0 0 20 0 0 | 0 0 0 0 0 0 0 15 0 0 0 | 0 0 0 0 0 0 0 0 0 6 0 0 0 0 | * * * * * * * * * * * 7 * * * * * | 0 1 0 0 0 0 0 1
.x3.o3.o3.o .. .x ♦ 0 10 | 0 0 20 5 | 0 0 0 0 0 20 10 0 | 0 0 0 0 0 0 0 10 10 0 0 | 0 0 0 0 0 0 0 0 0 2 5 0 0 0 | * * * * * * * * * * * * 21 * * * * | 0 0 1 0 0 0 0 1
.x3.o3.o .. .o3.x ♦ 0 12 | 0 0 18 12 | 0 0 0 0 0 12 18 4 | 0 0 0 0 0 0 0 3 12 6 0 | 0 0 0 0 0 0 0 0 0 0 3 4 0 0 | * * * * * * * * * * * * * 35 * * * | 0 0 0 1 0 0 0 1
.x3.o .. .o3.o3.x ♦ 0 12 | 0 0 12 18 | 0 0 0 0 0 4 18 12 | 0 0 0 0 0 0 0 0 6 12 3 | 0 0 0 0 0 0 0 0 0 0 0 4 3 0 | * * * * * * * * * * * * * * 35 * * | 0 0 0 0 1 0 0 1
.x .. .o3.o3.o3.x ♦ 0 10 | 0 0 5 20 | 0 0 0 0 0 0 10 20 | 0 0 0 0 0 0 0 0 0 10 10 | 0 0 0 0 0 0 0 0 0 0 0 0 5 2 | * * * * * * * * * * * * * * * 21 * | 0 0 0 0 0 1 0 1
.. .o3.o3.o3.o3.x ♦ 0 6 | 0 0 0 15 | 0 0 0 0 0 0 0 20 | 0 0 0 0 0 0 0 0 0 0 15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 6 | * * * * * * * * * * * * * * * * 7 | 0 0 0 0 0 0 1 1
---------------------+-------+-----------------+--------------------------------+--------------------------------------------+-----------------------------------------------------+------------------------------------------------------+--------------------
o.3x.3o.3o.3o.3o. ♦ 21 0 | 105 0 0 0 | 35 140 0 0 0 0 0 0 | 35 105 0 0 0 0 0 0 0 0 0 | 21 42 0 0 0 0 0 0 0 0 0 0 0 0 | 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * *
ox3xo3oo3oo3oo ..&#x ♦ 15 6 | 60 30 15 0 | 20 60 15 60 0 20 0 0 | 15 30 20 0 60 0 0 15 0 0 0 | 6 6 15 0 0 30 0 0 0 6 0 0 0 0 | 1 0 6 0 0 0 6 0 0 0 0 1 0 0 0 0 0 | * 7 * * * * * *
ox3xo3oo3oo .. ox&#x ♦ 10 10 | 30 40 20 5 | 10 20 20 60 20 20 10 0 | 5 5 20 10 40 30 0 10 10 0 0 | 1 0 10 10 0 10 20 0 0 2 5 0 0 0 | 0 0 2 5 0 0 0 5 0 0 0 0 1 0 0 0 0 | * * 21 * * * * *
ox3xo3oo .. oo3ox&#x ♦ 6 12 | 12 36 18 12 | 4 4 18 36 36 12 18 4 | 1 0 12 18 12 36 12 3 12 6 0 | 0 0 3 12 6 0 12 12 0 0 3 4 0 0 | 0 0 0 3 4 0 0 0 4 0 0 0 0 1 0 0 0 | * * * 35 * * * *
ox3xo .. oo3oo3ox&#x ♦ 3 12 | 3 24 12 18 | 1 0 12 12 36 4 18 12 | 0 0 4 18 0 18 24 0 6 12 3 | 0 0 0 6 12 0 0 12 6 0 0 4 3 0 | 0 0 0 0 4 3 0 0 0 3 0 0 0 0 1 0 0 | * * * * 35 * * *
ox .. oo3oo3oo3ox&#x ♦ 1 10 | 0 10 5 20 | 0 0 5 0 20 0 10 20 | 0 0 0 10 0 0 20 0 0 10 10 | 0 0 0 0 10 0 0 0 10 0 0 0 5 2 | 0 0 0 0 0 5 0 0 0 0 2 0 0 0 0 1 0 | * * * * * 21 * *
.. xo3oo3oo3oo3ox&#x ♦ 6 6 | 15 30 0 15 | 0 20 0 60 60 0 0 20 | 0 15 0 0 60 90 60 0 0 0 15 | 0 6 0 0 0 30 60 60 30 0 0 0 0 6 | 0 1 0 0 0 0 6 15 20 15 6 0 0 0 0 0 1 | * * * * * * 7 *
.x3.o3.o3.o3.o3.x ♦ 0 42 | 0 0 105 105 | 0 0 0 0 0 140 210 140 | 0 0 0 0 0 0 0 105 210 210 105 | 0 0 0 0 0 0 0 0 0 42 105 140 105 42 | 0 0 0 0 0 0 0 0 0 0 0 7 21 35 35 21 7 | * * * * * * * 1
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