Acronym laqalin
Name pentacontihexapentacosiheptacontihexaexon atop pentacontihexahecatonicosihexaexon,
21,3 atop 12,3,
laq-first cap of bay,
21,3-first cap of 21,4
Circumradius sqrt(2) = 1.414214
Confer
uniform relative:
bay  
related segmentozetton:
linaranq
general polytopal classes:
segmentozetta   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

xo3oo3oo3ox *c3oo3oo3oo&#x   → height = 1/2
(laq || lin)

o.3o.3o.3o. *c3o.3o.3o.    | 126   *    32   32     0 |   240   192   240     0 |   640   480   480   640     0     0 |  160   480   640   240   640   160   480    0    0     0 |  60  192  160   480   480   60   192   0    0    0 | 12  32  60  192   192   12   32  0   0 | 1 12  32   32   1 0
.o3.o3.o3.o *c3.o3.o3.o    |   * 576 |    0    7    35 |     0    21   105   210 |     0    35   105   420   140   210 |    0     0    35    35   210   140   420   35  105   105 |   0    0   35    21   210  105   210  21   42   21 |  0   0  21    7   105   42   42  7   7 | 0  7   1   21   7 1
---------------------------+---------+-----------------+-------------------------+-------------------------------------+----------------------------------------------------------+----------------------------------------------------+----------------------------------------+--------------------
x. .. .. ..    .. .. ..    |   2   0 | 2016    *     *     15     6     0     0 |    60    30    15     0     0     0 |   20    60    60    15    20     0     0    0    0     0 |  15   30   20    60    15    0     0   0    0    0 |  6   6  15   30     6    0    0  0   0 | 1  6   6    1   0 0
oo3oo3oo3oo *c3oo3oo3oo&#x |   1   1 |    * 4032     *      0     6    15     0 |     0    15    30    60     0     0 |    0     0    20    15    60    20    60    0    0     0 |   0    0   20    15    60   15    30   0    0    0 |  0   0  15    6    30    6    6  0   0 | 0  6   1    6   1 0
.. .. .. .x    .. .. ..    |   0   2 |    *    * 10080 |     0     0     3    12 |     0     0     3    24    12    18 |    0     0     0     1    12    12    36    4   18    12 |   0    0    4     0    18   18    24   6   12    3 |  0   0   6    0    12   12    6  4   3 | 0  4   0    3   3 1
---------------------------+---------+-----------------+-------------------------+-------------------------------------+----------------------------------------------------------+----------------------------------------------------+----------------------------------------+--------------------
x.3o. .. ..    .. .. ..    |   3   0 |    3    0     0 | 10080     *     *     *      8     2     0     0     0     0 |    4    12     8     1     0     0     0    0    0     0 |   6    8    4    12     0    0     0   0    0    0 |  4   2   6    8     0    0    0  0   0 | 1  4   2    0   0 0
xo .. .. ..    .. .. ..&#x |   2   1 |    1    2     0 |     * 12096     *     *      0     5     5     0     0     0 |    0     0    10     5    10     0     0    0    0     0 |   0    0   10    10    10    0     0   0    0    0 |  0   0  10    5     5    0    0  0   0 | 0  5   1    1   0 0
.. .. .. ox    .. .. ..&#x |   1   2 |    0    2     1 |     *     * 30240     *      0     0     2     8     0     0 |    0     0     0     1     8     4    12    0    0     0 |   0    0    4     0    12    6     8   0    0    0 |  0   0   6    0     8    4    2  0   0 | 0  4   0    2   1 0
.. .. .o3.x    .. .. ..    |   0   3 |    0    0     3 |     *     *     * 40320 |     0     0     0     2     2     3 |    0     0     0     0     1     2     6    1    6     3 |   0    0    1     0     3    6     6   3    6    1 |  0   0   3    0     3    6    2  3   2 | 0  3   0    1   2 1
---------------------------+---------+-----------------+-------------------------+-------------------------------------+----------------------------------------------------------+----------------------------------------------------+----------------------------------------+--------------------
x.3o.3o. ..    .. .. ..       4   0 |    6    0     0 |     4     0     0     0 | 20160     *     *     *     *     * |    1     3     1     0     0     0     0    0    0     0 |   3    3    1     3     0    0     0   0    0    0 |  3   1   3    3     0    0    0  0   0 | 1  3   1    0   0 0
xo3oo .. ..    .. .. ..&#x    3   1 |    3    3     0 |     1     3     0     0 |     * 20160     *     *     *     * |    0     0     4     1     0     0     0    0    0     0 |   0    0    4     6     0    0     0   0    0    0 |  0   0   6    4     0    0    0  0   0 | 0  4   1    0   0 0
xo .. .. ox    .. .. ..&#x    2   2 |    1    4     1 |     0     2     2     0 |     *     * 30240     *     *     * |    0     0     0     1     4     0     0    0    0     0 |   0    0    4     0     6    0     0   0    0    0 |  0   0   6    0     4    0    0  0   0 | 0  4   0    1   0 0
.. .. oo3ox    .. .. ..&#x    1   3 |    0    3     3 |     0     0     3     1 |     *     *     * 80640     *     * |    0     0     0     0     1     1     3    0    0     0 |   0    0    1     0     3    3     3   0    0    0 |  0   0   3    0     3    3    1  0   0 | 0  3   0    1   1 0
.. .o3.o3.x    .. .. ..       0   4 |    0    0     6 |     0     0     0     4 |     *     *     *     * 20160     * |    0     0     0     0     0     1     0    1    3     0 |   0    0    1     0     0    3     0   3    3    0 |  0   0   3    0     0    3    0  3   1 | 0  3   0    0   1 1
.. .. .o3.x *c3.o .. ..       0   4 |    0    0     6 |     0     0     0     4 |     *     *     *     *     * 30240 |    0     0     0     0     0     0     2    0    2     2 |   0    0    0     0     1    2     4   1    4    1 |  0   0   1    0     2    4    2  2   2 | 0  2   0    1   2 1
---------------------------+---------+-----------------+-------------------------+-------------------------------------+----------------------------------------------------------+----------------------------------------------------+----------------------------------------+--------------------
x.3o.3o.3o.    .. .. ..       5   0 |   10    0     0 |    10     0     0     0 |     5     0     0     0     0     0 | 4032     *     *     *     *     *     *    *    *     *    3    0    1     0     0    0     0   0    0    0 |  3   0   3    0     0    0    0  0   0 | 1  3   0    0   0 0
x.3o.3o. .. *c3o. .. ..       5   0 |   10    0     0 |    10     0     0     0 |     5     0     0     0     0     0 |    * 12096     *     *     *     *     *    *    *     * |   1    2    0     1     0    0     0   0    0    0 |  2   1   1    2     0    0    0  0   0 | 1  2   1    0   0 0
xo3oo3oo ..    .. .. ..&#x    4   1 |    6    4     0 |     4     6     0     0 |     1     4     0     0     0     0 |    *     * 20160     *     *     *     *    *    *     * |   0    0    1     3     0    0     0   0    0    0 |  0   0   3    3     0    0    0  0   0 | 0  3   1    0   0 0
xo3oo .. ox    .. .. ..&#x    3   2 |    3    6     1 |     1     6     3     0 |     0     2     3     0     0     0 |    *     *     * 10080     *     *     *    *    *     *    0    0    4     0     0    0     0   0    0    0 |  0   0   6    0     0    0    0  0   0 | 0  4   0    0   0 0
xo .. oo3ox    .. .. ..&#x    2   3 |    1    6     3 |     0     3     6     1 |     0     0     3     2     0     0 |    *     *     *     * 40320     *     *    *    *     * |   0    0    1     0     3    0     0   0    0    0 |  0   0   3    0     3    0    0  0   0 | 0  3   0    1   0 0
.. oo3oo3ox    .. .. ..&#x    1   4 |    0    4     6 |     0     0     6     4 |     0     0     0     4     1     0 |    *     *     *     *     * 20160     *    *    *     *    0    0    1     0     0    3     0   0    0    0 |  0   0   3    0     0    3    0  0   0 | 0  3   0    0   1 0
.. .. oo3ox *c3oo .. ..&#x    1   4 |    0    4     6 |     0     0     6     4 |     0     0     0     4     0     1 |    *     *     *     *     *     * 60480    *    *     * |   0    0    0     0     1    1     2   0    0    0 |  0   0   1    0     2    2    1  0   0 | 0  2   0    1   1 0
.o3.o3.o3.x    .. .. ..       0   5 |    0    0    10 |     0     0     0    10 |     0     0     0     0     5     0 |    *     *     *     *     *     *     * 4032    *     * |   0    0    1     0     0    0     0   3    0    0 |  0   0   3    0     0    0    0  3   0 | 0  3   0    0   0 1
.. .o3.o3.x *c3.o .. ..       0   8 |    0    0    24 |     0     0     0    32 |     0     0     0     0     8     8 |    *     *     *     *     *     *     *    * 7560     * |   0    0    0     0     0    1     0   1    2    0 |  0   0   1    0     0    2    0  2   1 | 0  2   0    0   1 1
.. .. .o3.x *c3.o3.o ..       0   5 |    0    0    10 |     0     0     0    10 |     0     0     0     0     0     5 |    *     *     *     *     *     *     *    *    * 12096 |   0    0    0     0     0    0     2   0    2    1 |  0   0   0    0     1    2    2  1   2 | 0  1   0    1   2 1
---------------------------+---------+-----------------+-------------------------+-------------------------------------+----------------------------------------------------------+----------------------------------------------------+----------------------------------------+--------------------
x.3o.3o.3o. *c3o. .. ..      10   0 |   40    0     0 |    80     0     0     0 |    80     0     0     0     0     0 |   16    16     0     0     0     0     0    0    0     0 | 756    *    *     *     *    *     *   *    *    * |  2   0   1    0     0    0    0  0   0 | 1  2   0    0   0 0
x.3o.3o. .. *c3o.3o. ..       6   0 |   15    0     0 |    20     0     0     0 |    15     0     0     0     0     0 |    0     6     0     0     0     0     0    0    0     0 |   * 4032    *     *     *    *     *   *    *    * |  1   1   0    1     0    0    0  0   0 | 1  1   1    0   0 0
xo3oo3oo3ox    .. .. ..&#x    5   5 |   10   20    10 |    10    30    30    10 |     5    20    30    20     5     0 |    1     0     5    10    10     5     0    1    0     0 |   *    * 4032     *     *    *     *   *    *    * |  0   0   3    0     0    0    0  0   0 | 0  3   0    0   0 0
xo3oo3oo .. *c3oo .. ..&#x    5   1 |   10    5     0 |    10    10     0     0 |     5    10     0     0     0     0 |    0     1     5     0     0     0     0    0    0     0 |   *    *    * 12096     *    *     *   *    *    * |  0   0   1    2     0    0    0  0   0 | 0  2   1    0   0 0
xo .. oo3ox *c3oo .. ..&#x    2   4 |    1    8     6 |     0     4    12     4 |     0     0     6     8     0     1 |    0     0     0     0     4     0     2    0    0     0 |   *    *    *     * 30240    *     *   *    *    * |  0   0   1    0     2    0    0  0   0 | 0  2   0    1   0 0
.. oo3oo3ox *c3oo .. ..&#x    1   8 |    0    8    24 |     0     0    24    32 |     0     0     0    32     8     8 |    0     0     0     0     0     8     8    0    1     0 |   *    *    *     *     * 7560     *   *    *    * |  0   0   1    0     0    2    0  0   0 | 0  2   0    0   1 0
.. .. oo3ox *c3oo3oo ..&#x    1   5 |    0    5    10 |     0     0    10    10 |     0     0     0    10     0     5 |    0     0     0     0     0     0     5    0    0     1 |   *    *    *     *     *    * 24192   *    *    * |  0   0   0    0     1    1    1  0   0 | 0  1   0    1   1 0
.o3.o3.o3.x *c3.o .. ..       0  16 |    0    0    80 |     0     0     0   160 |     0     0     0     0    80    40 |    0     0     0     0     0     0     0   16   10     0 |   *    *    *     *     *    *     * 756    *    * |  0   0   1    0     0    0    0  2   0 | 0  2   0    0   0 1
.. .o3.o3.x *c3.o3.o ..       0  16 |    0    0    80 |     0     0     0   160 |     0     0     0     0    40    80 |    0     0     0     0     0     0     0    0   10    16 |   *    *    *     *     *    *     *   * 1512    * |  0   0   0    0     0    1    0  1   1 | 0  1   0    0   1 1
.. .. .o3.x *c3.o3.o3.o       0   6 |    0    0    15 |     0     0     0    20 |     0     0     0     0     0    15 |    0     0     0     0     0     0     0    0    0     6 |   *    *    *     *     *    *     *   *    * 2016 |  0   0   0    0     0    0    1  0   2 | 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     0 |  216   432     0     0     0     0     0    0    0     0 |  27   72    0     0     0    0     0   0    0    0 | 56   *   *    *     *    *    *  *   * | 1  1   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 |    0    21     0     0     0     0     0    0    0     0 |   0    7    0     0     0    0     0   0    0    0 |  * 576   *    *     *    *    *  *   * | 1  0   1    0   0 0
xo3oo3oo3ox *c3oo .. ..&#x   10  16 |   40   80    80 |    80   160   240   160 |    80   160   240   320    80    40 |   16    16    80    80   160    80    80   16   10     0 |   1    0   16    16    40   10     0   1    0    0 |  *   * 756    *     *    *    *  *   * | 0  2   0    0   0 0
xo3oo3oo .. *c3oo3oo ..&#x    6   1 |   15    6     0 |    20    15     0     0 |    15    20     0     0     0     0 |    0     6    15     0     0     0     0    0    0     0 |   0    1    0     6     0    0     0   0    0    0 |  *   *   * 4032     *    *    *  *   * | 0  1   1    0   0 0
xo .. oo3ox *c3oo3oo ..&#x    2   5 |    1   10    10 |     0     5    20    10 |     0     0    10    20     0     5 |    0     0     0     0    10     0    10    0    0     1 |   0    0    0     0     5    0     2   0    0    0 |  *   *   *    * 12096    *    *  *   * | 0  1   0    1   0 0
.. oo3oo3ox *c3oo3oo ..&#x    1  16 |    0   16    80 |     0     0    80   160 |     0     0     0   160    40    80 |    0     0     0     0     0    40    80    0   10    16 |   0    0    0     0     0   10    16   0    1    0 |  *   *   *    *     * 1512    *  *   * | 0  1   0    0   1 0
.. .. oo3ox *c3oo3oo3oo&#x    1   6 |    0    6    15 |     0     0    15    20 |     0     0     0    20     0    15 |    0     0     0     0     0     0    15    0    0     6 |   0    0    0     0     0    0     6   0    0    1 |  *   *   *    *     *    * 4032  *   * | 0  0   0    1   1 0
.o3.o3.o3.x *c3.o3.o ..       0  72 |    0    0   720 |     0     0     0  2160 |     0     0     0     0  1080  1080 |    0     0     0     0     0     0     0  216  270   216 |   0    0    0     0     0    0     0  27   27    0 |  *   *   *    *     *    *    * 56   * | 0  1   0    0   0 1
.. .o3.o3.x *c3.o3.o3.o       0  32 |    0    0   240 |     0     0     0   640 |     0     0     0     0   160   480 |    0     0     0     0     0     0     0    0   60   192 |   0    0    0     0     0    0     0   0   12   32 |  *   *   *    *     *    *    *  * 126 | 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     0 | 4032 12096     0     0     0     0     0    0    0     0 | 756 4032    0     0     0    0     0   0    0    0 | 56 576   0    0     0    0    0  0   0 | 1  *   *    *   * *
xo3oo3oo3ox *c3oo3oo ..&#x   27  72 |  216  432   720 |   720  1080  2160  2160 |  1080  1440  2160  4320  1080  1080 |  216   432  1080   720  2160  1080  2160  216  270   216 |  27   72  216   432  1080  270   432  27   27    0 |  1   0  27   72   216   27    0  1   0 | * 56   *    *   * *
xo3oo3oo .. *c3oo3oo3oo&#x    7   1 |   21    7     0 |    35    21     0     0 |    35    35     0     0     0     0 |    0    21    35     0     0     0     0    0    0     0 |   0    7    0    21     0    0     0   0    0    0 |  0   1   0    7     0    0    0  0   0 | *  * 576    *   * *
xo .. oo3ox *c3oo3oo3oo&#x    2   6 |    1   12    15 |     0     6    30    20 |     0     0    15    40     0    15 |    0     0     0     0    20     0    30    0    0     6 |   0    0    0     0    15    0    12   0    0    1 |  0   0   0    0     6    0    2  0   0 | *  *   * 2016   * *
.. oo3oo3ox *c3oo3oo3oo&#x    1  32 |    0   32   240 |     0     0   240   640 |     0     0     0   640   160   480 |    0     0     0     0     0   160   480    0   60   192 |   0    0    0     0     0   60   192   0   12   32 |  0   0   0    0     0   12   32  0   1 | *  *   *    * 126 *
.o3.o3.o3.x *c3.o3.o3.o       0 576 |    0    0 10080 |     0     0     0 40320 |     0     0     0     0 20160 30240 |    0     0     0     0     0     0     0 4032 7560 12096 |   0    0    0     0     0    0     0 756 1512 2016 |  0   0   0    0     0    0    0 56 126 | *  *   *    *   * 1

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