Acronym seto
Name small terated octaexon,
pentellated octaexon
Circumradius sqrt(23)/4 = 1.198958
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Incidence matrix according to Dynkin symbol

x3o3o3o3o3x3o

. . . . . . . | 168 |   5  10 |  10   40   20   5 |  10   60   60  20  20  10 |   5  40   60  30  40  30  10  10 |  1  10  20  20  20  30  10  20  2  5 | 2  5 10 10  5 1
--------------+-----+---------+-------------------+---------------------------+----------------------------------+--------------------------------------+----------------
x . . . . . . |   2 | 420   * |   4    8    0   0 |   6   24   12   4   0   0 |   4  24   24  12   8   6   0   0 |  1   8  12  12   8  12   2   4  0  0 | 2  4  6  4  1 0
. . . . . x . |   2 |   * 840 |   0    4    4   1 |   0    6   12   4   6   4 |   0   4   12   6  12  12   4   6 |  0   1   4   4   6  12   4  12  1  4 | 1  1  4  6  4 1
--------------+-----+---------+-------------------+---------------------------+----------------------------------+--------------------------------------+----------------
x3o . . . . . |   3 |   3   0 | 560    *    *   * |   3    6    0   0   0   0 |   3  12    6   3   0   0   0   0 |  1   6   6   6   2   3   0   0  0  0 | 2  3  3  1  0 0
x . . . . x . |   4 |   2   2 |   * 1680    *   * |   0    3    3   1   0   0 |   0   3    6   3   3   3   0   0 |  0   1   3   3   3   6   1   3  0  0 | 1  1  3  3  1 0
. . . . o3x . |   3 |   0   3 |   *    * 1120   * |   0    0    3   0   3   1 |   0   0    3   0   6   3   3   3 |  0   0   1   0   3   3   3   6  1  3 | 1  0  1  3  3 1
. . . . . x3o |   3 |   0   3 |   *    *    * 280 |   0    0    0   4   0   4 |   0   0    0   6   0  12   0   6 |  0   0   0   4   0  12   0  12  0  4 | 0  1  4  6  4 1
--------------+-----+---------+-------------------+---------------------------+----------------------------------+--------------------------------------+----------------
x3o3o . . . .    4 |   6   0 |   4    0    0   0 | 420    *    *   *   *   * |   2   4    0   0   0   0   0   0 |  1   4   2   2   0   0   0   0  0  0 | 2  2  1  0  0 0
x3o . . . x .    6 |   6   3 |   2    3    0   0 |   * 1680    *   *   *   * |   0   2    2   1   0   0   0   0 |  0   1   2   2   1   2   0   0  0  0 | 1  1  2  1  0 0
x . . . o3x .    6 |   3   6 |   0    3    2   0 |   *    * 1680   *   *   * |   0   0    2   0   2   1   0   0 |  0   0   1   0   2   2   1   2  0  0 | 1  0  1  2  1 0
x . . . . x3o    6 |   3   6 |   0    3    0   2 |   *    *    * 560   *   * |   0   0    0   3   0   3   0   0 |  0   0   0   3   0   6   0   3  0  0 | 0  1  3  3  1 0
. . . o3o3x .    4 |   0   6 |   0    0    4   0 |   *    *    *   * 840   * |   0   0    0   0   2   0   2   1 |  0   0   0   0   1   0   2   2  1  2 | 1  0  0  1  2 1
. . . . o3x3o    6 |   0  12 |   0    0    4   4 |   *    *    *   *   * 280 |   0   0    0   0   0   3   0   3 |  0   0   0   0   0   3   0   6  0  3 | 0  0  1  3  3 1
--------------+-----+---------+-------------------+---------------------------+----------------------------------+--------------------------------------+----------------
x3o3o3o . . .    5 |  10   0 |  10    0    0   0 |   5    0    0   0   0   0 | 168   *    *   *   *   *   *   * |  1   2   0   0   0   0   0   0  0  0 | 2  1  0  0  0 0
x3o3o . . x .    8 |  12   4 |   8    6    0   0 |   2    4    0   0   0   0 |   * 840    *   *   *   *   *   * |  0   1   1   1   0   0   0   0  0  0 | 1  1  1  0  0 0
x3o . . o3x .    9 |   9   9 |   3    9    3   0 |   0    3    3   0   0   0 |   *   * 1120   *   *   *   *   * |  0   0   1   0   1   1   0   0  0  0 | 1  0  1  1  0 0
x3o . . . x3o    9 |   9   9 |   3    9    0   3 |   0    3    0   3   0   0 |   *   *    * 560   *   *   *   * |  0   0   0   2   0   2   0   0  0  0 | 0  1  2  1  0 0
x . . o3o3x .    8 |   4  12 |   0    6    8   0 |   0    0    4   0   2   0 |   *   *    *   * 840   *   *   * |  0   0   0   0   1   0   1   1  0  0 | 1  0  0  1  1 0
x . . . o3x3o   12 |   6  24 |   0   12    8   8 |   0    0    4   4   0   2 |   *   *    *   *   * 420   *   * |  0   0   0   0   0   2   0   2  0  0 | 0  0  1  2  1 0
. . o3o3o3x .    5 |   0  10 |   0    0   10   0 |   0    0    0   0   5   0 |   *   *    *   *   *   * 336   * |  0   0   0   0   0   0   1   0  1  1 | 1  0  0  0  1 1
. . . o3o3x3o   10 |   0  30 |   0    0   20  10 |   0    0    0   0   5   5 |   *   *    *   *   *   *   * 168 |  0   0   0   0   0   0   0   2  0  2 | 0  0  0  1  2 1
--------------+-----+---------+-------------------+---------------------------+----------------------------------+--------------------------------------+----------------
x3o3o3o3o . .    6 |  15   0 |  20    0    0   0 |  15    0    0   0   0   0 |   6   0    0   0   0   0   0   0 | 28   *   *   *   *   *   *   *  *  * | 2  0  0  0  0 0
x3o3o3o . x .   10 |  20   5 |  20   10    0   0 |  10   10    0   0   0   0 |   2   5    0   0   0   0   0   0 |  * 168   *   *   *   *   *   *  *  * | 1  1  0  0  0 0
x3o3o . o3x .   12 |  18  12 |  12   18    4   0 |   3   12    6   0   0   0 |   0   3    4   0   0   0   0   0 |  *   * 280   *   *   *   *   *  *  * | 1  0  1  0  0 0
x3o3o . . x3o   12 |  18  12 |  12   18    0   4 |   3   12    0   6   0   0 |   0   3    0   4   0   0   0   0 |  *   *   * 280   *   *   *   *  *  * | 0  1  1  0  0 0
x3o . o3o3x .   12 |  12  18 |   4   18   12   0 |   0    6   12   0   3   0 |   0   0    4   0   3   0   0   0 |  *   *   *   * 280   *   *   *  *  * | 1  0  0  1  0 0
x3o . . o3x3o   18 |  18  36 |   6   36   12  12 |   0   12   12  12   0   3 |   0   0    4   4   0   3   0   0 |  *   *   *   *   * 280   *   *  *  * | 0  0  1  1  0 0
x . o3o3o3x .   10 |   5  20 |   0   10   20   0 |   0    0   10   0  10   0 |   0   0    0   0   5   0   2   0 |  *   *   *   *   *   * 168   *  *  * | 1  0  0  0  1 0
x . . o3o3x3o   20 |  10  60 |   0   30   40  20 |   0    0   20  10  10  10 |   0   0    0   0   5   5   0   2 |  *   *   *   *   *   *   * 168  *  * | 0  0  0  1  1 0
. o3o3o3o3x .    6 |   0  15 |   0    0   20   0 |   0    0    0   0  15   0 |   0   0    0   0   0   0   6   0 |  *   *   *   *   *   *   *   * 56  * | 1  0  0  0  0 1
. . o3o3o3x3o   15 |   0  60 |   0    0   60  20 |   0    0    0   0  30  15 |   0   0    0   0   0   0   6   6 |  *   *   *   *   *   *   *   *  * 56 | 0  0  0  0  1 1
--------------+-----+---------+-------------------+---------------------------+----------------------------------+--------------------------------------+----------------
x3o3o3o3o3x .   42 | 105 105 | 140  210  140   0 | 105  210  210   0 105   0 |  42 105  140   0 105   0  42   0 |  7  21  35   0  35   0  21   0  7  0 | 8  *  *  *  * *
x3o3o3o . x3o   15 |  30  15 |  30   30    0   5 |  15   30    0  10   0   0 |   3  15    0  10   0   0   0   0 |  0   3   0   5   0   0   0   0  0  0 | * 56  *  *  * *
x3o3o . o3x3o   24 |  36  48 |  24   72   16  16 |   6   48   24  24   0   4 |   0  12   16  16   0   6   0   0 |  0   0   4   4   0   4   0   0  0  0 | *  * 70  *  * *
x3o . o3o3x3o   30 |  30  90 |  10   90   60  30 |   0   30   60  30  15  15 |   0   0   20  10  15  15   0   3 |  0   0   0   0   5   5   0   3  0  0 | *  *  * 56  * *
x . o3o3o3x3o   30 |  15 120 |   0   60  120  40 |   0    0   60  20  60  30 |   0   0    0   0  30  15  12  12 |  0   0   0   0   0   0   6   6  0  2 | *  *  *  * 28 *
. o3o3o3o3x3o   21 |   0 105 |   0    0  140  35 |   0    0    0   0 105  35 |   0   0    0   0   0   0  42  21 |  0   0   0   0   0   0   0   0  7  7 | *  *  *  *  * 8

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