Acronym spojak
Name small prismated icosiheptapeton
Circumradius sqrt(23/3) = 2.768875
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Incidence matrix according to Dynkin symbol

x3o3o3x3o *c3x

. . . . .    . | 4320 |    3     6    3 |    3    12    6    6    3    3    6 |    1    6    3    6    3    6   12    2    1    3    6    3 |   2   1    3    6    3    6    6   1   2   3 |  1  2   3   3  1
---------------+------+-----------------+-------------------------------------+-------------------------------------------------------------+----------------------------------------------+-----------------
x . . . .    . |    2 | 6480     *    * |    2     4    2    0    0    0    0 |    1    4    2    2    1    2    4    0    0    0    0    0 |   2   1    2    4    1    2    2   0   0   0 |  1  2   2   1  0
. . . x .    . |    2 |    * 12960    * |    0     2    0    2    0    1    1 |    0    1    0    2    0    2    2    1    0    2    2    1 |   1   0    1    1    2    2    2   1   1   2 |  1  1   1   2  1
. . . . .    x |    2 |    *     * 6480 |    0     0    2    0    2    0    2 |    0    0    1    0    2    0    4    0    1    0    4    1 |   0   1    0    2    0    4    2   0   2   2 |  0  2   1   2  1
---------------+------+-----------------+-------------------------------------+-------------------------------------------------------------+----------------------------------------------+-----------------
x3o . . .    . |    3 |    3     0    0 | 4320     *    *    *    *    *    * |    1    2    1    0    0    0    0    0    0    0    0    0 |   2   1    1    2    0    0    0   0   0   0 |  1  2   1   0  0
x . . x .    . |    4 |    2     2    0 |    * 12960    *    *    *    *    * |    0    1    0    1    0    1    1    0    0    0    0    0 |   1   0    1    1    1    1    1   0   0   0 |  1  1   1   1  0
x . . . .    x |    4 |    2     0    2 |    *     * 6480    *    *    *    * |    0    0    1    0    1    0    2    0    0    0    0    0 |   0   1    0    2    0    2    1   0   0   0 |  0  2   1   1  0
. . o3x .    . |    3 |    0     3    0 |    *     *    * 8640    *    *    * |    0    0    0    1    0    0    0    1    0    1    1    0 |   1   0    0    0    1    1    0   1   1   1 |  1  1   0   1  1
. . o . . *c3x |    3 |    0     0    3 |    *     *    *    * 4320    *    * |    0    0    0    0    1    0    0    0    1    0    2    0 |   0   1    0    0    0    2    0   0   2   1 |  0  2   0   1  1
. . . x3o    . |    3 |    0     3    0 |    *     *    *    *    * 4320    * |    0    0    0    0    0    2    0    0    0    2    0    1 |   0   0    1    0    2    0    2   1   0   2 |  1  0   1   2  1
. . . x .    x |    4 |    0     2    2 |    *     *    *    *    *    * 6480 |    0    0    0    0    0    0    2    0    0    0    2    1 |   0   0    0    1    0    2    2   0   1   2 |  0  1   1   2  1
---------------+------+-----------------+-------------------------------------+-------------------------------------------------------------+----------------------------------------------+-----------------
x3o3o . .    .     4 |    6     0    0 |    4     0    0    0    0    0    0 | 1080    *    *    *    *    *    *    *    *    *    *    * |   2   1    0    0    0    0    0   0   0   0 |  1  2   0   0  0
x3o . x .    .     6 |    6     3    0 |    2     3    0    0    0    0    0 |    * 4320    *    *    *    *    *    *    *    *    *    * |   1   0    1    1    0    0    0   0   0   0 |  1  1   1   0  0
x3o . . .    x     6 |    6     0    3 |    2     0    3    0    0    0    0 |    *    * 2160    *    *    *    *    *    *    *    *    * |   0   1    0    2    0    0    0   0   0   0 |  0  2   1   0  0
x . o3x .    .     6 |    3     6    0 |    0     3    0    2    0    0    0 |    *    *    * 4320    *    *    *    *    *    *    *    * |   1   0    0    0    1    1    0   0   0   0 |  1  1   0   1  0
x . o . . *c3x     6 |    3     0    6 |    0     0    3    0    2    0    0 |    *    *    *    * 2160    *    *    *    *    *    *    * |   0   1    0    0    0    2    0   0   0   0 |  0  2   0   1  0
x . . x3o    .     6 |    3     6    0 |    0     3    0    0    0    2    0 |    *    *    *    *    * 4320    *    *    *    *    *    * |   0   0    1    0    1    0    1   0   0   0 |  1  0   1   1  0
x . . x .    x     8 |    4     4    4 |    0     2    2    0    0    0    2 |    *    *    *    *    *    * 6480    *    *    *    *    * |   0   0    0    1    0    1    1   0   0   0 |  0  1   1   1  0
. o3o3x .    .     4 |    0     6    0 |    0     0    0    4    0    0    0 |    *    *    *    *    *    *    * 2160    *    *    *    * |   1   0    0    0    0    0    0   1   1   0 |  1  1   0   0  1
. o3o . . *c3x     4 |    0     0    6 |    0     0    0    0    4    0    0 |    *    *    *    *    *    *    *    * 1080    *    *    * |   0   1    0    0    0    0    0   0   2   0 |  0  2   0   0  1
. . o3x3o    .     6 |    0    12    0 |    0     0    0    4    0    4    0 |    *    *    *    *    *    *    *    *    * 2160    *    * |   0   0    0    0    1    0    0   1   0   1 |  1  0   0   1  1
. . o3x . *c3x    12 |    0    12   12 |    0     0    0    4    4    0    6 |    *    *    *    *    *    *    *    *    *    * 2160    * |   0   0    0    0    0    1    0   0   1   1 |  0  1   0   1  1
. . . x3o    x     6 |    0     6    3 |    0     0    0    0    0    2    3 |    *    *    *    *    *    *    *    *    *    *    * 2160 |   0   0    0    0    0    0    2   0   0   2 |  0  0   1   2  1
---------------+------+-----------------+-------------------------------------+-------------------------------------------------------------+----------------------------------------------+-----------------
x3o3o3x .    .    20 |   30    30    0 |   20    30    0   20    0    0    0 |    5   10    0   10    0    0    0    5    0    0    0    0 | 432   *    *    *    *    *    *   *   *   * |  1  1   0   0  0
x3o3o . . *c3x    20 |   30     0   30 |   20     0   30    0   20    0    0 |    5    0   10    0   10    0    0    0    5    0    0    0 |   * 216    *    *    *    *    *   *   *   * |  0  2   0   0  0
x3o . x3o    .     9 |    9     9    0 |    3     9    0    0    0    3    0 |    0    3    0    0    0    3    0    0    0    0    0    0 |   *   * 1440    *    *    *    *   *   *   * |  1  0   1   0  0
x3o . x .    x    12 |   12     6    6 |    4     6    6    0    0    0    3 |    0    2    2    0    0    0    3    0    0    0    0    0 |   *   *    * 2160    *    *    *   *   *   * |  0  1   1   0  0
x . o3x3o    .    12 |    6    24    0 |    0    12    0    8    0    8    0 |    0    0    0    4    0    4    0    0    0    2    0    0 |   *   *    *    * 1080    *    *   *   *   * |  1  0   0   1  0
x . o3x . *c3x    24 |   12    24   24 |    0    12   12    8    8    0   12 |    0    0    0    4    4    0    6    0    0    0    2    0 |   *   *    *    *    * 1080    *   *   *   * |  0  1   0   1  0
x . . x3o    x    12 |    6    12    6 |    0     6    3    0    0    4    6 |    0    0    0    0    0    2    3    0    0    0    0    2 |   *   *    *    *    *    * 2160   *   *   * |  0  0   1   1  0
. o3o3x3o    .    10 |    0    30    0 |    0     0    0   20    0   10    0 |    0    0    0    0    0    0    0    5    0    5    0    0 |   *   *    *    *    *    *    * 432   *   * |  1  0   0   0  1
. o3o3x . *c3x    32 |    0    48   48 |    0     0    0   32   32    0   24 |    0    0    0    0    0    0    0    8    8    0    8    0 |   *   *    *    *    *    *    *   * 270   * |  0  1   0   0  1
. . o3x3o *c3x    30 |    0    60   30 |    0     0    0   20   10   20   30 |    0    0    0    0    0    0    0    0    0    5    5   10 |   *   *    *    *    *    *    *   *   * 432 |  0  0   0   1  1
---------------+------+-----------------+-------------------------------------+-------------------------------------------------------------+----------------------------------------------+-----------------
x3o3o3x3o    .    60 |   90   180    0 |   60   180    0  120    0   60    0 |   15   60    0   60    0   60    0   30    0   30    0    0 |   6   0   20    0   15    0    0   6   0   0 | 72  *   *   *  *
x3o3o3x . *c3x   320 |  480   480  480 |  320   480  480  320  320    0  240 |   80  160  160  160  160    0  240   80   80    0   80    0 |  16  16    0   80    0   40    0   0  10   0 |  * 27   *   *  *
x3o . x3o    x    18 |   18    18    9 |    6    18    9    0    0    6    9 |    0    6    3    0    0    6    9    0    0    0    0    3 |   0   0    2    3    0    0    3   0   0   0 |  *  * 720   *  *
x . o3x3o *c3x    60 |   30   120   60 |    0    60   30   40   20   40   60 |    0    0    0   20   10   20   30    0    0   10   10   20 |   0   0    0    0    5    5   10   0   0   2 |  *  *   * 216  *
. o3o3x3o *c3x   160 |    0   480  240 |    0     0    0  320  160  160  240 |    0    0    0    0    0    0    0   80   40   80   80   80 |   0   0    0    0    0    0    0  16  10  16 |  *  *   *   * 27

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