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
uniform relative:
fy  
general polytopal classes:
segmentozetta   lace prisms  

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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