Acronym spaz
Name small prismated hecatonicosoctaexon,
runcinated heptacross
Circumradius sqrt(7/2) = 1.870829
Coordinates (2/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0, 0)   & all permutations, all changes of sign
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Incidence matrix according to Dynkin symbol

x3o3o3x3o3o4o

. . . . . . . | 2240 |    3    18 |    3    36    18    36 |   1   18   18    72    6    36    24 |   6   36   36    48   12   24   3 |  12   24   24   6   8   3 |   8   3  3  1
--------------+------+------------+------------------------+--------------------------------------+-----------------------------------+---------------------------+--------------
x . . . . . . |    2 | 3360     * |    2    12     0     0 |   1   12    6    24    0     0     0 |   6   24   12    16    0    0   0 |  12   16    8   2   0   0 |   8   2  1  0
. . . x . . . |    2 |    * 20160 |    0     2     2     4 |   0    1    2     8    1     8     4 |   1    4    8     8    4    8   1 |   4    4    8   2   4   2 |   4   1  2  1
--------------+------+------------+------------------------+--------------------------------------+-----------------------------------+---------------------------+--------------
x3o . . . . . |    3 |    3     0 | 2240     *     *     * |   1    6    0     0    0     0     0 |   6   12    0     0    0    0   0 |  12    8    0   0   0   0 |   8   1  0  0
x . . x . . . |    4 |    2     2 |    * 20160     *     * |   0    1    1     4    0     0     0 |   1    4    4     4    0    0   0 |   4    4    4   1   0   0 |   4   1  1  0
. . o3x . . . |    3 |    0     3 |    *     * 13440     * |   0    0    1     0    1     4     0 |   1    0    4     0    4    4   0 |   4    0    4   0   4   1 |   4   0  1  1
. . . x3o . . |    3 |    0     3 |    *     *     * 26880 |   0    0    0     2    0     2     2 |   0    1    2     4    1    4   1 |   1    2    4   2   2   2 |   2   1  2  1
--------------+------+------------+------------------------+--------------------------------------+-----------------------------------+---------------------------+--------------
x3o3o . . . .     4 |    6     0 |    4     0     0     0 | 560    *    *     *    *     *     *    6    0    0     0    0    0   0 |  12    0    0   0   0   0 |   8   0  0  0
x3o . x . . .     6 |    6     3 |    2     3     0     0 |   * 6720    *     *    *     *     * |   1    4    0     0    0    0   0 |   4    4    0   0   0   0 |   4   1  0  0
x . o3x . . .     6 |    3     6 |    0     3     2     0 |   *    * 6720     *    *     *     * |   1    0    4     0    0    0   0 |   4    0    4   0   0   0 |   4   0  1  0
x . . x3o . .     6 |    3     6 |    0     3     0     2 |   *    *    * 26880    *     *     * |   0    1    1     2    0    0   0 |   1    2    2   1   0   0 |   2   1  1  0
. o3o3x . . .     4 |    0     6 |    0     0     4     0 |   *    *    *     * 3360     *     * |   1    0    0     0    4    0   0 |   4    0    0   0   4   0 |   4   0  0  1
. . o3x3o . .     6 |    0    12 |    0     0     4     4 |   *    *    *     *    * 13440     * |   0    0    1     0    1    2   0 |   1    0    2   0   2   1 |   2   0  1  1
. . . x3o3o .     4 |    0     6 |    0     0     0     4 |   *    *    *     *    *     * 13440 |   0    0    0     2    0    2   1 |   0    1    2   2   1   2 |   1   1  2  1
--------------+------+------------+------------------------+--------------------------------------+-----------------------------------+---------------------------+--------------
x3o3o3x . . .    20 |   30    30 |   20    30    20     0 |   5   10   10     0    5     0     0 | 672    *    *     *    *    *   * |   4    0    0   0   0   0 |   4   0  0  0
x3o . x3o . .     9 |    9     9 |    3     9     0     3 |   0    3    0     3    0     0     0 |   * 8960    *     *    *    *   * |   1    2    0   0   0   0 |   2   1  0  0
x . o3x3o . .    12 |    6    24 |    0    12     8     8 |   0    0    4     4    0     2     0 |   *    * 6720     *    *    *   * |   1    0    2   0   0   0 |   2   0  1  0
x . . x3o3o .     8 |    4    12 |    0     6     0     8 |   0    0    0     4    0     0     2 |   *    *    * 13440    *    *   * |   0    1    1   1   0   0 |   1   1  1  0
. o3o3x3o . .    10 |    0    30 |    0     0    20    10 |   0    0    0     0    5     5     0 |   *    *    *     * 2688    *   * |   1    0    0   0   2   0 |   2   0  0  1
. . o3x3o3o .    10 |    0    30 |    0     0    10    20 |   0    0    0     0    0     5     5 |   *    *    *     *    * 5376   * |   0    0    1   0   1   1 |   1   0  1  1
. . . x3o3o4o     8 |    0    24 |    0     0     0    32 |   0    0    0     0    0     0    16 |   *    *    *     *    *    * 840 |   0    0    0   2   0   2 |   0   1  2  1
--------------+------+------------+------------------------+--------------------------------------+-----------------------------------+---------------------------+--------------
x3o3o3x3o . .    60 |   90   180 |   60   180   120    60 |  15   60   60    60   30    30     0 |   6   20   15     0    6    0   0 | 448    *    *   *   *   * |   2   0  0  0
x3o . x3o3o .    12 |   12    18 |    4    18     0    12 |   0    6    0    12    0     0     3 |   0    4    0     3    0    0   0 |   * 4480    *   *   *   * |   1   1  0  0
x . o3x3o3o .    20 |   10    60 |    0    30    20    40 |   0    0   10    20    0    10    10 |   0    0    5     5    0    2   0 |   *    * 2688   *   *   * |   1   0  1  0
x . . x3o3o4o    16 |    8    48 |    0    24     0    64 |   0    0    0    32    0     0    32 |   0    0    0    16    0    0   2 |   *    *    * 840   *   * |   0   1  1  0
. o3o3x3o3o .    20 |    0    90 |    0     0    60    60 |   0    0    0     0   15    30    15 |   0    0    0     0    6    6   0 |   *    *    *   * 896   * |   1   0  0  1
. . o3x3o3o4o    40 |    0   240 |    0     0    80   320 |   0    0    0     0    0    80   160 |   0    0    0     0    0   32  10 |   *    *    *   *   * 168 |   0   0  1  1
--------------+------+------------+------------------------+--------------------------------------+-----------------------------------+---------------------------+--------------
x3o3o3x3o3o .   140 |  210   630 |  140   630   420   420 |  35  210  210   420  105   210   105 |  21  140  105   105   42   42   0 |   7   35   21   0   7   0 | 128   *  *  *
x3o . x3o3o4o    24 |   24    72 |    8    72     0    96 |   0   24    0    96    0     0    48 |   0   32    0    48    0    0   3 |   0   16    0   3   0   0 |   * 280  *  *
x . o3x3o3o4o    80 |   40   480 |    0   240   160   640 |   0    0   80   320    0   160   320 |   0    0   80   160    0   64  20 |   0    0   32  10   0   2 |   *   * 84  *
. o3o3x3o3o4o   160 |    0  1440 |    0     0   960  1920 |   0    0    0     0  240   960   960 |   0    0    0     0  192  384  60 |   0    0    0   0  64  12 |   *   *  * 14

o3o3o *b3x3o3o3x

. . .    . . . . | 2240 |    18    3 |    36    18    36    3 |   12   12    36    72    6   18   18   1 |   3   12   24   12   24   12   36   36   6 |   3   6   4   12   12   4   12   12  12 |  1  3   3  4  4
-----------------+------+------------+------------------------+------------------------------------------+--------------------------------------------+-----------------------------------------+----------------
. . .    x . . . |    2 | 20160    * |     4     2     2    0 |    2    2     8     8    1    2    1   0 |   1    4    4    4    4    4    8    4   1 |   2   2   2    4    2   2    4    2   4 |  1  2   1  2  2
. . .    . . . x |    2 |     * 3360 |     0     0    12    2 |    0    0     0    24    0    6   12   1 |   0    0    8    0    8    0   12   24   6 |   0   2   0    4    8   0    4    8  12 |  0  1   2  4  4
-----------------+------+------------+------------------------+------------------------------------------+--------------------------------------------+-----------------------------------------+----------------
. o . *b3x . . . |    3 |     3    0 | 26880     *     *    * |    1    1     2     2    0    0    0   0 |   1    2    2    2    2    1    2    1   0 |   2   2   1    2    1   1    2    1   1 |  1  2   1  1  1
. . .    x3o . . |    3 |     3    0 |     * 13440     *    * |    0    0     4     0    1    1    0   0 |   0    2    0    2    0    4    4    0   1 |   1   0   2    2    0   2    2    0   4 |  1  1   0  2  2
. . .    x . . x |    4 |     2    2 |     *     * 20160    * |    0    0     0     4    0    1    1   0 |   0    0    2    0    2    0    4    4   1 |   0   1   0    2    2   0    2    2   4 |  0  1   1  2  2
. . .    . . o3x |    3 |     0    3 |     *     *     * 2240 |    0    0     0     0    0    0    6   1 |   0    0    0    0    0    0    0   12   6 |   0   0   0    0    4   0    0    4  12 |  0  0   1  4  4
-----------------+------+------------+------------------------+------------------------------------------+--------------------------------------------+-----------------------------------------+----------------
o3o . *b3x . . .     4 |     6    0 |     4     0     0    0 | 6720    *     *     *    *    *    *   * |   1    2    2    0    0    0    0    0   0 |   2   2   1    2    1   0    0    0   0 |  1  2   1  1  0
. o3o *b3x . . .     4 |     6    0 |     4     0     0    0 |    * 6720     *     *    *    *    *   * |   1    0    0    2    2    0    0    0   0 |   2   2   0    0    0   1    2    1   0 |  1  2   1  0  1
. o . *b3x3o . .     6 |    12    0 |     4     4     0    0 |    *    * 13440     *    *    *    *   * |   0    1    0    1    0    1    1    0   0 |   1   0   1    1    0   1    1    0   1 |  1  1   0  1  1
. o . *b3x . . x     6 |     6    3 |     2     0     3    0 |    *    *     * 26880    *    *    *   * |   0    0    1    0    1    0    1    1   0 |   0   1   0    1    1   0    1    1   1 |  0  1   1  1  1
. . .    x3o3o .     4 |     6    0 |     0     4     0    0 |    *    *     *     * 3360    *    *   * |   0    0    0    0    0    4    0    0   1 |   0   0   2    0    0   2    0    0   4 |  1  0   0  2  2
. . .    x3o . x     6 |     6    3 |     0     2     3    0 |    *    *     *     *    * 6720    *   * |   0    0    0    0    0    0    4    0   1 |   0   0   0    2    0   0    2    0   4 |  0  1   0  2  2
. . .    x . o3x     6 |     3    6 |     0     0     3    2 |    *    *     *     *    *    * 6720   * |   0    0    0    0    0    0    0    4   1 |   0   0   0    0    2   0    0    2   4 |  0  0   1  2  2
. . .    . o3o3x     4 |     0    6 |     0     0     0    4 |    *    *     *     *    *    *    * 560    0    0    0    0    0    0    0    0   6 |   0   0   0    0    0   0    0    0  12 |  0  0   0  4  4
-----------------+------+------------+------------------------+------------------------------------------+--------------------------------------------+-----------------------------------------+----------------
o3o3o *b3x . . .     8 |    24    0 |    32     0     0    0 |    8    8     0     0    0    0    0   0 | 840    *    *    *    *    *    *    *   * |   2   2   0    0    0   0    0    0   0 |  1  2   1  0  0
o3o . *b3x3o . .    10 |    30    0 |    20    10     0    0 |    5    0     5     0    0    0    0   0 |   * 2688    *    *    *    *    *    *   * |   1   0   1    1    0   0    0    0   0 |  1  1   0  1  0
o3o . *b3x . . x     8 |    12    4 |     8     0     6    0 |    2    0     0     4    0    0    0   0 |   *    * 6720    *    *    *    *    *   * |   0   1   0    1    1   0    0    0   0 |  0  1   1  1  0
. o3o *b3x3o . .    10 |    30    0 |    20    10     0    0 |    0    5     5     0    0    0    0   0 |   *    *    * 2688    *    *    *    *   * |   1   0   0    0    0   1    1    0   0 |  1  1   0  0  1
. o3o *b3x . . x     8 |    12    4 |     8     0     6    0 |    0    2     0     4    0    0    0   0 |   *    *    *    * 6720    *    *    *   * |   0   1   0    0    0   0    1    1   0 |  0  1   1  0  1
. o . *b3x3o3o .    10 |    30    0 |    10    20     0    0 |    0    0     5     0    5    0    0   0 |   *    *    *    *    * 2688    *    *   * |   0   0   1    0    0   1    0    0   1 |  1  0   0  1  1
. o . *b3x3o . x    12 |    24    6 |     8     8    12    0 |    0    0     2     4    0    4    0   0 |   *    *    *    *    *    * 6720    *   * |   0   0   0    1    0   0    1    0   1 |  0  1   0  1  1
. o . *b3x . o3x     9 |     9    9 |     3     0     9    3 |    0    0     0     3    0    0    3   0 |   *    *    *    *    *    *    * 8960   * |   0   0   0    0    1   0    0    1   1 |  0  0   1  1  1
. . .    x3o3o3x    20 |    30   30 |     0    20    30   20 |    0    0     0     0    5   10   10   5 |   *    *    *    *    *    *    *    * 672 |   0   0   0    0    0   0    0    0   4 |  0  0   0  2  2
-----------------+------+------------+------------------------+------------------------------------------+--------------------------------------------+-----------------------------------------+----------------
o3o3o *b3x3o . .    40 |   240    0 |   320    80    0     0 |   80   80    80     0    0    0    0   0 |  10   16    0   16    0    0    0    0   0 | 168   *   *    *    *   *    *    *   * |  1  1   0  0  0
o3o3o *b3x . . x    16 |    48    8 |    64     0   24     0 |   16   16     0    32    0    0    0   0 |   2    0    8    0    8    0    0    0   0 |   * 840   *    *    *   *    *    *   * |  0  1   1  0  0
o3o . *b3x3o3o .    20 |    90    0 |    60    60    0     0 |   15    0    30     0   15    0    0   0 |   0    6    0    0    0    6    0    0   0 |   *   * 448    *    *   *    *    *   * |  1  0   0  1  0
o3o . *b3x3o . x    20 |    60   10 |    40    20   30     0 |   10    0    10    20    0   10    0   0 |   0    2    5    0    0    0    5    0   0 |   *   *   * 1344    *   *    *    *   * |  0  1   0  1  0
o3o . *b3x . o3x    12 |    18   12 |    12     0   18     4 |    3    0     0    12    0    0    6   0 |   0    0    3    0    0    0    0    4   0 |   *   *   *    * 2240   *    *    *   * |  0  0   1  1  0
. o3o *b3x3o3o .    20 |    90    0 |    60    60    0     0 |    0   15    30     0   15    0    0   0 |   0    0    0    6    0    6    0    0   0 |   *   *   *    *    * 448    *    *   * |  1  0   0  0  1
. o3o *b3x3o . x    20 |    60   10 |    40    20   30     0 |    0   10    10    20    0   10    0   0 |   0    0    0    2    5    0    5    0   0 |   *   *   *    *    *   * 1344    *   * |  0  1   0  0  1
. o3o *b3x . o3x    12 |    18   12 |    12     0   18     4 |    0    3     0    12    0    0    6   0 |   0    0    0    0    3    0    0    4   0 |   *   *   *    *    *   *    * 2240   * |  0  0   1  0  1
. o . *b3x3o3o3x    60 |   180   90 |    60   120  180    60 |    0    0    30    60   30   60   60  15 |   0    0    0    0    0    6   15   20   6 |   *   *   *    *    *   *    *    * 448 |  0  0   0  1  1
-----------------+------+------------+------------------------+------------------------------------------+--------------------------------------------+-----------------------------------------+----------------
o3o3o *b3x3o3o .   160 |  1440    0 |  1920   960    0     0 |  480  480   960     0  240    0    0   0 |  60  192    0  192    0  192    0    0   0 |  12   0  32    0    0  32    0    0   0 | 14  *   *  *  *
o3o3o *b3x3o . x    80 |   480   40 |   640   160  240     0 |  160  160   160   320    0   80    0   0 |  20   32   80   32   80    0   80    0   0 |   2  10   0   16    0   0   16    0   0 |  * 84   *  *  *
o3o3o *b3x . o3x    24 |    72   24 |    96     0   72     8 |   24   24     0    96    0    0   24   0 |   3    0   24    0   24    0    0   32   0 |   0   3   0    0    8   0    0    8   0 |  *  * 280  *  *
o3o . *b3x3o3o3x   140 |   630  210 |   420   420  630   140 |  105    0   210   420  105  210  210  35 |   0   42  105    0    0   42  105  140  21 |   0   0   7   21   35   0    0    0   7 |  *  *   * 64  *
. o3o *b3x3o3o3x   140 |   630  210 |   420   420  630   140 |    0  105   210   420  105  210  210  35 |   0    0    0   42  105   42  105  140  21 |   0   0   0    0    0   7   21   35   7 |  *  *   *  * 64

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