Acronym | naqalaq |
Name |
naq atop laq, second stratos of vertex-first fy, E7 1/2 polytope |
Circumradius | 1 |
Face vector | 182, 4284, 33768, 120960, 219744, 202356, 81470, 7564 |
Confer |
|
Incidence matrix according to Dynkin symbol
xo3oo3oo3oo *c3oo3oo3ox&#x height = 1/2 = 0.5
(laq || naq)
o.3o.3o.3o. *c3o.3o.3o. | 126 * | 32 12 0 | 240 192 60 0 | 640 960 480 160 0 | 160 480 1920 1440 640 240 0 | 60 192 480 960 1920 960 480 192 0 0 | 12 32 120 480 192 480 640 240 192 32 32 0 0 | 1 12 60 160 32 32 1 0
.o3.o3.o3.o *c3.o3.o3.o | * 56 ♦ 0 27 27 | 0 216 270 216 | 0 720 1080 1080 720 | 0 0 1080 2160 2160 2160 1080 | 0 0 216 432 2160 2160 2160 2160 432 216 | 0 0 27 432 72 432 1080 720 1080 432 432 72 27 | 0 1 27 216 72 216 27 1
---------------------------+--------+---------------+-----------------------+-------------------------------+------------------------------------------+--------------------------------------------------------+------------------------------------------------------------------+-----------------------------
x. .. .. .. .. .. .. | 2 0 | 2016 * * | 15 6 0 0 | 60 60 15 0 0 | 20 60 180 90 20 0 0 | 15 30 60 120 180 60 15 0 0 0 | 6 6 30 60 30 60 60 15 6 0 0 0 0 | 1 6 15 20 6 1 0 0
oo3oo3oo3oo *c3oo3oo3oo&#x | 1 1 | * 1512 * | 0 16 10 0 | 0 80 80 40 0 | 0 0 160 240 160 80 0 | 0 0 40 80 320 240 160 80 0 0 | 0 0 10 80 16 80 160 80 80 16 16 0 0 | 0 1 10 40 16 16 1 0
.. .. .. .. .. .. .x | 0 2 | * * 756 ♦ 0 0 10 16 | 0 0 40 80 80 | 0 0 0 80 160 240 160 | 0 0 0 0 80 160 240 320 80 40 | 0 0 0 16 0 16 80 80 160 80 80 16 10 | 0 0 1 16 16 40 10 1
---------------------------+--------+---------------+-----------------------+-------------------------------+------------------------------------------+--------------------------------------------------------+------------------------------------------------------------------+-----------------------------
x.3o .. .. .. .. .. | 3 0 | 3 0 0 | 10080 * * * | 8 4 0 0 0 | 4 12 24 6 0 0 0 | 6 8 12 24 24 4 0 0 0 0 | 4 2 12 12 8 12 8 1 0 0 0 0 0 | 1 4 6 4 2 0 0 0
xo .. .. .. .. .. ..&#x | 2 1 | 1 2 0 | * 12096 * * ♦ 0 10 5 0 0 | 0 0 30 30 10 0 0 | 0 0 10 20 60 30 10 0 0 0 | 0 0 5 20 5 20 30 10 5 0 0 0 0 | 0 1 5 10 5 1 0 0
.. .. .. .. .. .. ox&#x | 1 2 | 0 2 1 | * * 7560 * ♦ 0 0 8 8 0 | 0 0 0 24 32 24 0 | 0 0 0 0 32 48 48 32 0 0 | 0 0 0 8 0 8 32 24 32 8 8 0 0 | 0 0 1 8 8 8 1 0
.. .. .. .. .. .o3.x | 0 3 | 0 0 3 | * * * 4032 ♦ 0 0 0 5 10 | 0 0 0 0 10 30 30 | 0 0 0 0 0 10 30 60 20 10 | 0 0 0 0 0 0 5 10 30 20 20 5 5 | 0 0 0 1 5 10 5 1
---------------------------+--------+---------------+-----------------------+-------------------------------+------------------------------------------+--------------------------------------------------------+------------------------------------------------------------------+-----------------------------
x.3o.3o. .. .. .. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 | 20160 * * * * | 1 3 3 0 0 0 0 | 3 3 3 6 3 0 0 0 0 0 | 3 1 6 3 3 3 1 0 0 0 0 0 0 | 1 3 3 1 1 0 0 0
xo3oo .. .. .. .. ..&#x ♦ 3 1 | 3 3 0 | 1 3 0 0 | * 40320 * * * ♦ 0 0 6 3 0 0 0 | 0 0 3 6 12 3 0 0 0 0 | 0 0 3 6 2 6 6 1 0 0 0 0 0 | 0 1 3 3 2 0 0 0
xo .. .. .. .. .. ox&#x ♦ 2 2 | 1 4 1 | 0 2 2 0 | * * 30240 * * ♦ 0 0 0 6 4 0 0 | 0 0 0 0 12 12 6 0 0 0 | 0 0 0 4 0 4 12 6 4 0 0 0 0 | 0 0 1 4 4 1 0 0
.. .. .. .. .. oo3ox&#x ♦ 1 3 | 0 3 3 | 0 0 3 1 | * * * 20160 * ♦ 0 0 0 0 4 6 0 | 0 0 0 0 0 6 12 12 0 0 | 0 0 0 0 0 0 4 6 12 4 4 0 0 | 0 0 0 1 4 4 1 0
.. .. .. .. .o3.o3.x ♦ 0 4 | 0 0 6 | 0 0 0 4 | * * * * 10080 ♦ 0 0 0 0 0 3 6 | 0 0 0 0 0 0 3 12 6 3 | 0 0 0 0 0 0 0 1 6 6 6 2 3 | 0 0 0 0 2 3 3 1
---------------------------+--------+---------------+-----------------------+-------------------------------+------------------------------------------+--------------------------------------------------------+------------------------------------------------------------------+-----------------------------
x.3o.3o.3o. .. .. .. ♦ 5 0 | 10 0 0 | 10 0 0 0 | 5 0 0 0 0 | 4032 * * * * * * ♦ 3 0 3 0 0 0 0 0 0 0 | 3 0 6 3 0 0 0 0 0 0 0 0 0 | 1 3 3 1 0 0 0 0
x.3o.3o. .. *c3o. .. .. ♦ 5 0 | 10 0 0 | 10 0 0 0 | 5 0 0 0 0 | * 12096 * * * * * | 1 2 0 2 0 0 0 0 0 0 | 2 1 2 0 2 1 0 0 0 0 0 0 0 | 1 2 1 0 1 0 0 0
xo3oo3oo .. .. .. ..&#x ♦ 4 1 | 6 4 0 | 4 6 0 0 | 1 4 0 0 0 | * * 60480 * * * * | 0 0 1 2 2 0 0 0 0 0 | 0 0 2 2 1 2 1 0 0 0 0 0 0 | 0 1 2 1 1 0 0 0
xo3oo .. .. .. .. ox&#x ♦ 3 2 | 3 6 1 | 1 6 3 0 | 0 2 3 0 0 | * * * 60480 * * * ♦ 0 0 0 0 4 2 0 0 0 0 | 0 0 0 2 0 2 4 1 0 0 0 0 0 | 0 0 1 2 2 0 0 0
xo .. .. .. .. oo3ox&#x ♦ 2 3 | 1 6 3 | 0 3 6 1 | 0 0 3 2 0 | * * * * 40320 * * ♦ 0 0 0 0 0 3 3 0 0 0 | 0 0 0 0 0 0 3 3 3 0 0 0 0 | 0 0 0 1 3 1 0 0
.. .. .. .. oo3oo3ox&#x ♦ 1 4 | 0 4 6 | 0 0 6 4 | 0 0 0 4 1 | * * * * * 30240 * ♦ 0 0 0 0 0 0 2 4 0 0 | 0 0 0 0 0 0 0 1 4 2 2 0 0 | 0 0 0 0 2 2 1 0
.. .. .o .. *c3.o3.o3.x ♦ 0 5 | 0 0 10 | 0 0 0 10 | 0 0 0 0 5 | * * * * * * 12096 | 0 0 0 0 0 0 0 2 2 1 | 0 0 0 0 0 0 0 0 1 2 2 1 2 | 0 0 0 0 1 1 2 1
---------------------------+--------+---------------+-----------------------+-------------------------------+------------------------------------------+--------------------------------------------------------+------------------------------------------------------------------+-----------------------------
x.3o.3o.3o. *c3o. .. .. ♦ 10 0 | 40 0 0 | 80 0 0 0 | 80 0 0 0 0 | 16 16 0 0 0 0 0 | 756 * * * * * * * * * | 2 0 2 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0
x.3o.3o. .. *c3o.3o. .. ♦ 6 0 | 15 0 0 | 20 0 0 0 | 15 0 0 0 0 | 0 6 0 0 0 0 0 | * 4032 * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 0 0 1 0 0 0
xo3oo3oo3oo .. .. ..&#x ♦ 5 1 | 10 5 0 | 10 10 0 0 | 5 10 0 0 0 | 1 0 5 0 0 0 0 | * * 12096 * * * * * * * | 0 0 2 2 0 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 0 0
xo3oo3oo .. *c3oo .. ..&#x ♦ 5 1 | 10 5 0 | 10 10 0 0 | 5 10 0 0 0 | 0 1 5 0 0 0 0 | * * * 24192 * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 0 0 | 0 1 1 0 1 0 0 0
xo3oo3oo .. .. .. ox&#x ♦ 4 2 | 6 8 1 | 4 12 4 0 | 1 8 6 0 0 | 0 0 2 4 0 0 0 | * * * * 60480 * * * * * | 0 0 0 1 0 1 1 0 0 0 0 0 0 | 0 0 1 1 1 0 0 0
xo3oo .. .. .. oo3ox&#x ♦ 3 3 | 3 9 3 | 1 9 9 1 | 0 3 9 3 0 | 0 0 0 3 3 0 0 | * * * * * 40320 * * * * | 0 0 0 0 0 0 2 1 0 0 0 0 0 | 0 0 0 1 2 0 0 0
xo .. .. .. oo3oo3ox&#x ♦ 2 4 | 1 8 6 | 0 4 12 4 | 0 0 6 8 1 | 0 0 0 0 4 2 0 | * * * * * * 30240 * * * | 0 0 0 0 0 0 0 1 2 0 0 0 0 | 0 0 0 0 2 1 0 0
.. .. oo .. *c3oo3oo3ox&#x ♦ 1 5 | 0 5 10 | 0 0 10 10 | 0 0 0 10 5 | 0 0 0 0 0 5 1 | * * * * * * * 24192 * * | 0 0 0 0 0 0 0 0 1 1 1 0 0 | 0 0 0 0 1 1 1 0
.. .o3.o .. *c3.o3.o3.x ♦ 0 6 | 0 0 15 | 0 0 0 20 | 0 0 0 0 15 | 0 0 0 0 0 0 6 | * * * * * * * * 4032 * | 0 0 0 0 0 0 0 0 0 1 0 1 1 | 0 0 0 0 1 0 1 1
.. .. .o3.o *c3.o3.o3.x ♦ 0 6 | 0 0 15 | 0 0 0 20 | 0 0 0 0 15 | 0 0 0 0 0 0 6 | * * * * * * * * * 2016 | 0 0 0 0 0 0 0 0 0 0 2 0 2 | 0 0 0 0 0 1 2 1
---------------------------+--------+---------------+-----------------------+-------------------------------+------------------------------------------+--------------------------------------------------------+------------------------------------------------------------------+-----------------------------
x.3o.3o.3o. *c3o.3o. .. ♦ 27 0 | 216 0 0 | 720 0 0 0 | 1080 0 0 0 0 | 216 432 0 0 0 0 0 | 27 72 0 0 0 0 0 0 0 0 | 56 * * * * * * * * * * * * | 1 1 0 0 0 0 0 0
x.3o.3o. .. *c3o.3o.3o. ♦ 7 0 | 21 0 0 | 35 0 0 0 | 35 0 0 0 0 | 0 21 0 0 0 0 0 | 0 7 0 0 0 0 0 0 0 0 | * 576 * * * * * * * * * * * | 1 0 0 0 1 0 0 0
xo3oo3oo3oo *c3oo .. ..&#x ♦ 10 1 | 40 10 0 | 80 40 0 0 | 80 80 0 0 0 | 16 16 80 0 0 0 0 | 1 0 16 16 0 0 0 0 0 0 | * * 1512 * * * * * * * * * * | 0 1 1 0 0 0 0 0
xo3oo3oo3oo .. .. ox&#x ♦ 5 2 | 10 10 1 | 10 20 5 0 | 5 20 10 0 0 | 1 0 10 10 0 0 0 | 0 0 2 0 5 0 0 0 0 0 | * * * 12096 * * * * * * * * * | 0 0 1 1 0 0 0 0
xo3oo3oo .. *c3oo3oo ..&#x ♦ 6 1 | 15 6 0 | 20 15 0 0 | 15 20 0 0 0 | 0 6 15 0 0 0 0 | 0 1 0 6 0 0 0 0 0 0 | * * * * 4032 * * * * * * * * | 0 1 0 0 1 0 0 0
xo3oo3oo .. *c3oo .. ox&#x ♦ 5 2 | 10 10 1 | 10 20 5 0 | 5 20 10 0 0 | 0 1 10 10 0 0 0 | 0 0 0 2 5 0 0 0 0 0 | * * * * * 12096 * * * * * * * | 0 0 1 0 1 0 0 0
xo3oo3oo .. .. oo3ox&#x ♦ 4 3 | 6 12 3 | 4 18 12 1 | 1 12 18 4 0 | 0 0 3 12 6 0 0 | 0 0 0 0 3 4 0 0 0 0 | * * * * * * 20160 * * * * * * | 0 0 0 1 1 0 0 0
xo3oo .. .. oo3oo3ox&#x ♦ 3 4 | 3 12 6 | 1 12 18 4 | 0 4 18 12 1 | 0 0 0 6 12 3 0 | 0 0 0 0 0 4 3 0 0 0 | * * * * * * * 10080 * * * * * | 0 0 0 0 2 0 0 0
xo .. oo .. *c3oo3oo3ox&#x ♦ 2 5 | 1 10 10 | 0 5 20 10 | 0 0 10 20 5 | 0 0 0 0 10 10 1 | 0 0 0 0 0 0 5 2 0 0 | * * * * * * * * 12096 * * * * | 0 0 0 0 1 1 0 0
.. oo3oo .. *c3oo3oo3ox&#x ♦ 1 6 | 0 6 15 | 0 0 15 20 | 0 0 0 20 15 | 0 0 0 0 0 15 6 | 0 0 0 0 0 0 0 6 1 0 | * * * * * * * * * 4032 * * * | 0 0 0 0 1 0 1 0
.. .. oo3oo *c3oo3oo3ox&#x ♦ 1 6 | 0 6 15 | 0 0 15 20 | 0 0 0 20 15 | 0 0 0 0 0 15 6 | 0 0 0 0 0 0 0 6 0 1 | * * * * * * * * * * 4032 * * | 0 0 0 0 0 1 1 0
.o3.o3.o .. *c3.o3.o3.x ♦ 0 7 | 0 0 21 | 0 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 | * * * * * * * * * * * 576 * | 0 0 0 0 1 0 0 1
.. .o3.o3.o *c3.o3.o3.x ♦ 0 12 | 0 0 60 | 0 0 0 160 | 0 0 0 0 240 | 0 0 0 0 0 0 192 | 0 0 0 0 0 0 0 0 32 32 | * * * * * * * * * * * * 126 | 0 0 0 0 0 0 1 1
---------------------------+--------+---------------+-----------------------+-------------------------------+------------------------------------------+--------------------------------------------------------+------------------------------------------------------------------+-----------------------------
x.3o.3o.3o. *c3o.3o.3o. ♦ 126 0 | 2016 0 0 | 10080 0 0 0 | 20160 0 0 0 0 | 4032 12096 0 0 0 0 0 | 756 4032 0 0 0 0 0 0 0 0 | 56 576 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * *
xo3oo3oo3oo *c3oo3oo ..&#x ♦ 27 1 | 216 27 0 | 720 216 0 0 | 1080 720 0 0 0 | 216 432 1080 0 0 0 0 | 27 72 216 432 0 0 0 0 0 0 | 1 0 27 0 72 0 0 0 0 0 0 0 0 | * 56 * * * * * *
xo3oo3oo3oo *c3oo .. ox&#x ♦ 10 2 | 40 20 1 | 80 80 10 0 | 80 160 40 0 0 | 16 16 160 80 0 0 0 | 1 0 32 32 80 0 0 0 0 0 | 0 0 2 16 0 16 0 0 0 0 0 0 0 | * * 756 * * * * *
xo3oo3oo3oo .. oo3ox&#x ♦ 5 3 | 10 15 3 | 10 30 15 1 | 5 30 30 5 0 | 1 0 15 30 10 0 0 | 0 0 3 0 15 10 0 0 0 0 | 0 0 0 3 0 0 5 0 0 0 0 0 0 | * * * 4032 * * * *
xo3oo3oo .. *c3oo3oo3ox&#x ♦ 7 7 | 21 42 21 | 35 105 105 35 | 35 140 210 140 35 | 0 21 105 210 210 105 21 | 0 7 0 42 105 140 105 42 7 0 | 0 1 0 0 7 21 35 35 21 7 0 1 0 | * * * * 576 * * *
xo .. oo3oo *c3oo3oo3ox&#x ♦ 2 6 | 1 12 15 | 0 6 30 20 | 0 0 15 40 15 | 0 0 0 0 20 30 6 | 0 0 0 0 0 0 15 12 0 1 | 0 0 0 0 0 0 0 0 6 0 2 0 0 | * * * * * 2016 * *
.. oo3oo3oo *c3oo3oo3ox&#x ♦ 1 12 | 0 12 60 | 0 0 60 160 | 0 0 0 160 240 | 0 0 0 0 0 240 192 | 0 0 0 0 0 0 0 192 32 32 | 0 0 0 0 0 0 0 0 0 32 32 0 1 | * * * * * * 126 *
.o3.o3.o3.o *c3.o3.o3.x ♦ 0 56 | 0 0 756 | 0 0 0 4032 | 0 0 0 0 10080 | 0 0 0 0 0 0 12096 | 0 0 0 0 0 0 0 0 4032 2016 | 0 0 0 0 0 0 0 0 0 0 0 576 126 | * * * * * * * 1
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