Acronym guph
Name great petated hexadecaexon,
hexipentisteriruncicantitruncated octaexon,
omnitruncated octaexon
Circumradius sqrt(21) = 4.582576
External
links
wikipedia   polytopewiki

Incidence matrix according to Dynkin symbol

x3x3x3x3x3x3x

o3o3o3o3o3o3o    | 40320 |     2     2     2     1 |     2     2     2     2     2     1     2     2     2     1     2     1 |    2    2    2    2    2    2     2     2     2    2     2    1    2    2    2    2    2    1    1 |   2    2    2    2    2    2    2    2    2    1    2    2    2    2    1    2   2    2    1 |   2   2   2   2   2   2   2    2   1   2   1  1 |  2  2   2  1
-----------------+-------+-------------------------+-------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------+-------------------------------------------------+-------------
x . . . . . .  & |     2 | 40320     *     *     * |     1     1     1     1     1     1     0     0     0     0     0     0 |    1    1    1    1    2    1     1     1     2    1     1    1    1    0    0    0    0    0    0 |   1    1    1    2    1    1    2    1    2    1    1    1    2    1    1    1   0    0    0 |   1   1   2   1   2   2   1    2   1   1   1  0 |  1  2   2  1
. x . . . . .  & |     2 |     * 40320     *     * |     1     0     0     0     1     0     1     1     1     1     0     0 |    1    1    1    2    1    0     0     1     0    0     1    0    1    1    1    2    1    1    0 |   1    1    2    1    1    2    1    2    1    1    0    1    0    1    0    1   1    2    1 |   1   2   1   2   1   2   2    1   1   1   0  1 |  2  1   2  1
. . x . . . .  & |     2 |     *     * 40320     * |     0     1     0     1     0     0     1     0     1     0     1     1 |    1    0    1    0    0    1     2     1     1    1     0    0    1    1    2    1    1    0    1 |   1    2    1    1    1    0    0    1    1    0    2    1    1    2    1    1   2    1    1 |   2   1   1   2   2   1   1    1   0   2   1  1 |  2  2   1  1
. . . x . . .    |     2 |     *     *     * 20160 |     0     0     2     0     0     0     0     2     0     0     2     0 |    0    2    0    0    0    2     0     0     0    2     2    1    0    2    0    0    2    1    1 |   2    0    0    0    2    2    2    0    0    0    2    2    2    0    0    2   2    2    0 |   2   2   2   0   0   0   2    2   1   2   1  1 |  2  2   2  0
-----------------+-------+-------------------------+-------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------+-------------------------------------------------+-------------
x3x . . . . .  & |     6 |     3     3     0     0 | 13440     *     *     *     *     *     *     *     *     *     *     * |    1    1    1    1    1    0     0     0     0    0     0    0    0    0    0    0    0    0    0 |   1    1    1    1    1    1    1    1    1    1    0    0    0    0    0    0   0    0    0 |   1   1   1   1   1   2   1    1   1   0   0  0 |  1  1   2  1
x . x . . . .  & |     4 |     2     0     2     0 |     * 20160     *     *     *     *     *     *     *     *     *     * |    1    0    0    0    0    1     1     1     1    0     0    0    0    0    0    0    0    0    0 |   1    1    1    1    0    0    0    0    1    0    1    1    1    1    1    0   0    0    0 |   1   1   1   1   2   1   0    1   0   1   1  0 |  1  2   1  1
x . . x . . .  & |     4 |     2     0     0     2 |     *     * 20160     *     *     *     *     *     *     *     *     * |    0    1    0    0    0    1     0     0     0    1     1    1    0    0    0    0    0    0    0 |   1    0    0    0    1    1    2    0    0    0    1    1    2    0    0    1   0    0    0 |   1   1   2   0   0   0   1    2   1   1   1  0 |  1  2   2  0
x . . . x . .  & |     4 |     2     0     2     0 |     *     *     * 20160     *     *     *     *     *     *     *     * |    0    0    1    0    0    0     1     0     1    1     0    0    1    0    0    0    0    0    0 |   0    1    0    1    1    0    0    1    1    0    1    0    1    1    1    1   0    0    0 |   1   0   1   1   2   1   1    1   0   1   1  0 |  1  2   1  1
x . . . . x .  & |     4 |     2     2     0     0 |     *     *     *     * 20160     *     *     *     *     *     *     * |    0    0    0    1    1    0     0     1     0    0     1    0    1    0    0    0    0    0    0 |   0    0    1    1    0    1    1    1    1    1    0    1    0    1    0    1   0    0    0 |   0   1   1   1   1   2   1    1   1   1   0  0 |  1  1   2  1
x . . . . . x    |     4 |     4     0     0     0 |     *     *     *     *     * 10080     *     *     *     *     *     * |    0    0    0    0    2    0     0     0     2    0     0    1    0    0    0    0    0    0    0 |   0    0    0    2    0    0    2    0    2    1    0    0    2    0    1    0   0    0    0 |   0   0   2   0   2   2   0    2   1   0   1  0 |  0  2   2  1
. x3x . . . .  & |     6 |     0     3     3     0 |     *     *     *     *     *     * 13440     *     *     *     *     * |    1    0    0    0    0    0     0     0     0    0     0    0    1    1    1    1    0    0    0 |   1    1    1    1    0    0    0    1    0    0    0    0    0    1    0    1   1    1    1 |   1   1   1   2   1   1   1    0   0   1   0  1 |  2  1   1  1
. x . x . . .  & |     4 |     0     2     0     2 |     *     *     *     *     *     *     * 20160     *     *     *     * |    0    1    0    0    0    0     0     0     0    0     1    0    0    1    0    0    1    1    0 |   1    0    0    0    1    2    1    0    0    0    0    1    0    0    0    1   1    2    0 |   1   2   1   0   0   0   2    1   1   1   0  1 |  2  1   2  0
. x . . x . .  & |     4 |     0     2     2     0 |     *     *     *     *     *     *     *     * 20160     *     *     * |    0    0    1    0    0    0     0     1     0    0     0    0    0    0    1    1    1    0    0 |   0    1    1    0    1    0    0    1    1    0    0    1    0    1    0    0   1    1    1 |   1   1   0   2   1   1   1    1   0   1   0  1 |  2  1   1  1
. x . . . x .    |     4 |     0     4     0     0 |     *     *     *     *     *     *     *     *     * 10080     *     * |    0    0    0    2    0    0     0     0     0    0     0    0    0    0    0    2    0    1    0 |   0    0    2    0    0    2    0    2    0    1    0    0    0    0    0    0   2    2    1 |   0   2   0   2   0   2   2    0   1   0   0  1 |  2  0   2  1
. . x3x . . .  & |     6 |     0     0     3     3 |     *     *     *     *     *     *     *     *     *     * 13440     * |    0    0    0    0    0    1     0     0     0    1     0    0    0    1    0    0    1    0    1 |   1    0    0    0    1    0    0    0    0    0    2    1    1    0    0    1   2    1    0 |   2   1   1   1   0   0   1    1   0   2   1  1 |  2  2   1  0
. . x . x . .    |     4 |     0     0     4     0 |     *     *     *     *     *     *     *     *     *     *     * 10080 |    0    0    0    0    0    0     2     0     0    0     0    0    0    0    2    0    0    0    1 |   0    2    0    0    0    0    0    0    0    0    2    0    0    2    1    0   2    0    1 |   2   0   0   2   2   0   0    0   0   2   1  1 |  2  2   0  1
-----------------+-------+-------------------------+-------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------+-------------------------------------------------+-------------
x3x3x . . . .  &     24 |    12    12    12     0 |     4     6     0     0     0     0     4     0     0     0     0     0 | 3360    *    *    *    *    *     *     *     *    *     *    *    *    *    *    *    *    *    * |   1    1    1    1    0    0    0    0    0    0    0    0    0    0    0    0   0    0    0 |   1   1   1   1   1   1   0    0   0   0   0  0 |  1  1   1  1
x3x . x . . .  &     12 |     6     6     0     6 |     2     0     3     0     0     0     0     3     0     0     0     0 |    * 6720    *    *    *    *     *     *     *    *     *    *    *    *    *    *    *    *    * |   1    0    0    0    1    1    1    0    0    0    0    0    0    0    0    0   0    0    0 |   1   1   1   0   0   0   1    1   1   0   0  0 |  1  1   2  0
x3x . . x . .  &     12 |     6     6     6     0 |     2     0     0     3     0     0     0     0     3     0     0     0 |    *    * 6720    *    *    *     *     *     *    *     *    *    *    *    *    *    *    *    * |   0    1    0    0    1    0    0    1    1    0    0    0    0    0    0    0   0    0    0 |   1   0   0   1   1   1   1    1   0   0   0  0 |  1  1   1  1
x3x . . . x .  &     12 |     6    12     0     0 |     2     0     0     0     3     0     0     0     0     3     0     0 |    *    *    * 6720    *    *     *     *     *    *     *    *    *    *    *    *    *    *    * |   0    0    1    0    0    1    0    1    0    1    0    0    0    0    0    0   0    0    0 |   0   1   0   1   0   2   1    0   1   0   0  0 |  1  0   2  1
x3x . . . . x  &     12 |    12     6     0     0 |     2     0     0     0     3     3     0     0     0     0     0     0 |    *    *    *    * 6720    *     *     *     *    *     *    *    *    *    *    *    *    *    * |   0    0    0    1    0    0    1    0    1    1    0    0    0    0    0    0   0    0    0 |   0   0   1   0   1   2   0    1   1   0   0  0 |  0  1   2  1
x . x3x . . .  &     12 |     6     0     6     6 |     0     3     3     0     0     0     0     0     0     0     2     0 |    *    *    *    *    * 6720     *     *     *    *     *    *    *    *    *    *    *    *    * |   1    0    0    0    0    0    0    0    0    0    1    1    1    0    0    0   0    0    0 |   1   1   1   0   0   0   0    1   0   1   1  0 |  1  2   1  0
x . x . x . .  &      8 |     4     0     8     0 |     0     2     0     2     0     0     0     0     0     0     0     2 |    *    *    *    *    *    * 10080     *     *    *     *    *    *    *    *    *    *    *    * |   0    1    0    0    0    0    0    0    0    0    1    0    0    1    1    0   0    0    0 |   1   0   0   1   2   0   0    0   0   1   1  0 |  1  2   0  1
x . x . . x .  &      8 |     4     4     4     0 |     0     2     0     0     2     0     0     0     2     0     0     0 |    *    *    *    *    *    *     * 10080     *    *     *    *    *    *    *    *    *    *    * |   0    0    1    0    0    0    0    0    1    0    0    1    0    1    0    0   0    0    0 |   0   1   0   1   1   1   0    1   0   1   0  0 |  1  1   1  1
x . x . . . x  &      8 |     8     0     4     0 |     0     2     0     2     0     2     0     0     0     0     0     0 |    *    *    *    *    *    *     *     * 10080    *     *    *    *    *    *    *    *    *    * |   0    0    0    1    0    0    0    0    1    0    0    0    1    0    1    0   0    0    0 |   0   0   1   0   2   1   0    1   0   0   1  0 |  0  2   1  1
x . . x3x . .  &     12 |     6     0     6     6 |     0     0     3     3     0     0     0     0     0     0     2     0 |    *    *    *    *    *    *     *     *     * 6720     *    *    *    *    *    *    *    *    * |   0    0    0    0    1    0    0    0    0    0    1    0    1    0    0    1   0    0    0 |   1   0   1   0   0   0   1    1   0   1   1  0 |  1  2   1  0
x . . x . x .  &      8 |     4     4     0     4 |     0     0     2     0     2     0     0     2     0     0     0     0 |    *    *    *    *    *    *     *     *     *    * 10080    *    *    *    *    *    *    *    * |   0    0    0    0    0    1    1    0    0    0    0    1    0    0    0    1   0    0    0 |   0   1   1   0   0   0   1    1   1   1   0  0 |  1  1   2  0
x . . x . . x         8 |     8     0     0     4 |     0     0     4     0     0     2     0     0     0     0     0     0 |    *    *    *    *    *    *     *     *     *    *     * 5040    *    *    *    *    *    *    * |   0    0    0    0    0    0    2    0    0    0    0    0    2    0    0    0   0    0    0 |   0   0   2   0   0   0   0    2   1   0   1  0 |  0  2   2  0
x . . . x3x .  &     12 |     6     6     6     0 |     0     0     0     3     3     0     2     0     0     0     0     0 |    *    *    *    *    *    *     *     *     *    *     *    * 6720    *    *    *    *    *    * |   0    0    0    1    0    0    0    1    0    0    0    0    0    1    0    1   0    0    0 |   0   0   1   1   1   1   1    0   0   1   0  0 |  1  1   1  1
. x3x3x . . .  &     24 |     0    12    12    12 |     0     0     0     0     0     0     4     6     0     0     4     0 |    *    *    *    *    *    *     *     *     *    *     *    *    * 3360    *    *    *    *    * |   1    0    0    0    0    0    0    0    0    0    0    0    0    0    0    1   1    1    0 |   1   1   1   0   0   0   1    0   0   1   0  1 |  2  1   1  0
. x3x . x . .  &     12 |     0     6    12     0 |     0     0     0     0     0     0     2     0     3     0     0     3 |    *    *    *    *    *    *     *     *     *    *     *    *    *    * 6720    *    *    *    * |   0    1    0    0    0    0    0    0    0    0    0    0    0    1    0    0   1    0    1 |   1   0   0   2   1   0   0    0   0   1   0  1 |  2  1   0  1
. x3x . . x .  &     12 |     0    12     6     0 |     0     0     0     0     0     0     2     0     3     3     0     0 |    *    *    *    *    *    *     *     *     *    *     *    *    *    *    * 6720    *    *    * |   0    0    1    0    0    0    0    1    0    0    0    0    0    0    0    0   0    1    1 |   0   1   0   2   0   1   1    0   0   0   0  1 |  2  0   1  1
. x . x3x . .  &     12 |     0     6     6     6 |     0     0     0     0     0     0     0     3     3     0     2     0 |    *    *    *    *    *    *     *     *     *    *     *    *    *    *    *    * 6720    *    * |   0    0    0    0    1    0    0    0    0    0    0    1    0    0    0    0   1    1    0 |   1   1   0   0   0   0   1    1   0   1   0  1 |  2  1   1  0
. x . x . x .         8 |     0     8     0     4 |     0     0     0     0     0     0     0     4     0     2     0     0 |    *    *    *    *    *    *     *     *     *    *     *    *    *    *    *    *    * 5040    * |   0    0    0    0    0    2    0    0    0    0    0    0    0    0    0    0   0    2    0 |   0   2   0   0   0   0   2    0   1   0   0  1 |  2  0   2  0
. . x3x3x . .        24 |     0     0    24    12 |     0     0     0     0     0     0     0     0     0     0     8     6 |    *    *    *    *    *    *     *     *     *    *     *    *    *    *    *    *    *    * 1680 |   0    0    0    0    0    0    0    0    0    0    2    0    0    0    0    0   2    0    0 |   2   0   0   0   0   0   0    0   0   2   1  1 |  2  2   0  0
-----------------+-------+-------------------------+-------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------+-------------------------------------------------+-------------
x3x3x3x . . .  &    120 |    60    60    60    60 |    20    30    30     0     0     0    20    30     0     0    20     0 |    5   10    0    0    0   10     0     0     0    0     0    0    0    5    0    0    0    0    0 | 672    *    *    *    *    *    *    *    *    *    *    *    *    *    *    *   *    *    * |   1   1   1   0   0   0   0    0   0   0   0  0 |  1  1   1  0
x3x3x . x . .  &     48 |    24    24    48     0 |     8    12     0    12     0     0     8     0    12     0     0    12 |    2    0    4    0    0    0     6     0     0    0     0    0    0    0    4    0    0    0    0 |   * 1680    *    *    *    *    *    *    *    *    *    *    *    *    *    *   *    *    * |   1   0   0   1   1   0   0    0   0   0   0  0 |  1  1   0  1
x3x3x . . x .  &     48 |    24    48    24     0 |     8    12     0     0    12     0     8     0    12    12     0     0 |    2    0    0    4    0    0     0     6     0    0     0    0    0    0    0    4    0    0    0 |   *    * 1680    *    *    *    *    *    *    *    *    *    *    *    *    *   *    *    * |   0   1   0   1   0   1   0    0   0   0   0  0 |  1  0   1  1
x3x3x . . . x  &     48 |    48    24    24     0 |     8    12     0    12    12    12     8     0     0     0     0     0 |    2    0    0    0    4    0     0     0     6    0     0    0    4    0    0    0    0    0    0 |   *    *    * 1680    *    *    *    *    *    *    *    *    *    *    *    *   *    *    * |   0   0   1   0   1   1   0    0   0   0   0  0 |  0  1   1  1
x3x . x3x . .  &     36 |    18    18    18    18 |     6     0     9     9     0     0     0     9     9     0     6     0 |    0    3    3    0    0    0     0     0     0    3     0    0    0    0    0    0    3    0    0 |   *    *    *    * 2240    *    *    *    *    *    *    *    *    *    *    *   *    *    * |   1   0   0   0   0   0   1    1   0   0   0  0 |  1  1   1  0
x3x . x . x .  &     24 |    12    24     0    12 |     4     0     6     0     6     0     0    12     0     6     0     0 |    0    2    0    2    0    0     0     0     0    0     3    0    0    0    0    0    0    3    0 |   *    *    *    *    * 3360    *    *    *    *    *    *    *    *    *    *   *    *    * |   0   1   0   0   0   0   1    0   1   0   0  0 |  1  0   2  0
x3x . x . . x  &     24 |    24    12     0    12 |     4     0    12     0     6     6     0     6     0     0     0     0 |    0    2    0    0    2    0     0     0     0    0     3    3    0    0    0    0    0    0    0 |   *    *    *    *    *    * 3360    *    *    *    *    *    *    *    *    *   *    *    * |   0   0   1   0   0   0   0    1   1   0   0  0 |  0  1   2  0
x3x . . x3x .  &     36 |    18    36    18     0 |     6     0     0     9     9     0     6     0     9     9     0     0 |    0    0    3    3    0    0     0     0     0    0     0    0    3    0    0    3    0    0    0 |   *    *    *    *    *    *    * 2240    *    *    *    *    *    *    *    *   *    *    * |   0   0   0   1   0   1   1    0   0   0   0  0 |  1  0   1  1
x3x . . x . x  &     24 |    24    12    12     0 |     4     6     0     6     6     6     0     0     6     0     0     0 |    0    0    2    0    2    0     0     3     3    0     0    0    0    0    0    0    0    0    0 |   *    *    *    *    *    *    *    * 3360    *    *    *    *    *    *    *   *    *    * |   0   0   0   0   1   1   0    1   0   0   0  0 |  0  1   1  1
x3x . . . x3x        36 |    36    36     0     0 |    12     0     0     0    18     9     0     0     0     9     0     0 |    0    0    0    6    6    0     0     0     0    0     0    0    0    0    0    0    0    0    0 |   *    *    *    *    *    *    *    *    * 1120    *    *    *    *    *    *   *    *    * |   0   0   0   0   0   2   0    0   1   0   0  0 |  0  0   2  1
x . x3x3x . .  &     48 |    24     0    48    24 |     0    12    12    12     0     0     0     0     0     0    16    12 |    0    0    0    0    0    4     6     0     0    4     0    0    0    0    0    0    0    0    2 |   *    *    *    *    *    *    *    *    *    * 1680    *    *    *    *    *   *    *    * |   1   0   0   0   0   0   0    0   0   1   1  0 |  1  2   0  0
x . x3x . x .  &     24 |    12    12    12    12 |     0     6     6     0     6     0     0     6     6     0     4     0 |    0    0    0    0    0    2     0     3     0    0     3    0    0    0    0    0    2    0    0 |   *    *    *    *    *    *    *    *    *    *    * 3360    *    *    *    *   *    *    * |   0   1   0   0   0   0   0    1   0   1   0  0 |  1  1   1  0
x . x3x . . x  &     24 |    24     0    12    12 |     0     6    12     6     0     6     0     0     0     0     4     0 |    0    0    0    0    0    2     0     0     3    2     0    3    0    0    0    0    0    0    0 |   *    *    *    *    *    *    *    *    *    *    *    * 3360    *    *    *   *    *    * |   0   0   1   0   0   0   0    1   0   0   1  0 |  0  2   1  0
x . x . x3x .  &     24 |    12    12    24     0 |     0     6     0     6     6     0     4     0     6     0     0     6 |    0    0    0    0    0    0     3     3     0    0     0    0    2    0    2    0    0    0    0 |   *    *    *    *    *    *    *    *    *    *    *    *    * 3360    *    *   *    *    * |   0   0   0   1   1   0   0    0   0   1   0  0 |  1  1   0  1
x . x . x . x        16 |    16     0    16     0 |     0     8     0     8     0     4     0     0     0     0     0     4 |    0    0    0    0    0    0     4     0     4    0     0    0    0    0    0    0    0    0    0 |   *    *    *    *    *    *    *    *    *    *    *    *    *    * 2520    *   *    *    * |   0   0   0   0   2   0   0    0   0   0   1  0 |  0  2   0  1
x . . x3x3x .  &     48 |    24    24    24    24 |     0     0    12    12    12     0     8    12     0     0     8     0 |    0    0    0    0    0    0     0     0     0    4     6    0    4    2    0    0    0    0    0 |   *    *    *    *    *    *    *    *    *    *    *    *    *    *    * 1680   *    *    * |   0   0   1   0   0   0   1    0   0   1   0  0 |  1  1   1  0
. x3x3x3x . .  &    120 |     0    60   120    60 |     0     0     0     0     0     0    20    30    30    30    40    30 |    0    0    0    0    0    0     0     0     0    0     0    0    0    5   10    0   10    0    5 |   *    *    *    *    *    *    *    *    *    *    *    *    *    *    *    * 672    *    * |   1   0   0   0   0   0   0    0   0   1   0  1 |  2  1   0  0
. x3x3x . x .  &     48 |     0    48    24    24 |     0     0     0     0     0     0     8    24    12    12     8     0 |    0    0    0    0    0    0     0     0     0    0     0    0    0    2    0    4    4    6    0 |   *    *    *    *    *    *    *    *    *    *    *    *    *    *    *    *   * 1680    * |   0   1   0   0   0   0   1    0   0   0   0  1 |  2  0   1  0
. x3x . x3x .        36 |     0    36    36     0 |     0     0     0     0     0     0    12     0    18     9     0     9 |    0    0    0    0    0    0     0     0     0    0     0    0    0    0    6    6    0    0    0 |   *    *    *    *    *    *    *    *    *    *    *    *    *    *    *    *   *    * 1120 |   0   0   0   2   0   0   0    0   0   0   0  1 |  2  0   0  1
-----------------+-------+-------------------------+-------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------+-------------------------------------------------+-------------
x3x3x3x3x . .  &    720 |   360   360   720   360 |   120   180   180   180     0     0   120   180   180     0   240   180 |   30   60   60    0    0   60    90     0     0   60     0    0    0   30   60    0   60    0   30 |   6   15    0    0   20    0    0    0    0    0   15    0    0    0    0    0   6    0    0 | 112   *   *   *   *   *   *    *   *   *   *  * |  1  1   0  0
x3x3x3x . x .  &    240 |   120   240   120   120 |    40    60    60     0    60     0    40   120    60    60    40     0 |   10   20    0   20    0   20     0    30     0    0    30    0    0   10    0   20   20   30    0 |   2    0    5    0    0   10    0    0    0    0    0   10    0    0    0    0   0    5    0 |   * 336   *   *   *   *   *    *   *   *   *  * |  1  0   1  0
x3x3x3x . . x  &    240 |   240   120   120   120 |    40    60   120    60    60    60    40    60     0     0    40     0 |   10   20    0    0   20   20     0     0    30   20    30   30   20   10    0    0    0    0    0 |   2    0    0    5    0    0   10    0    0    0    0    0   10    0    0    5   0    0    0 |   *   * 336   *   *   *   *    *   *   *   *  * |  0  1   1  0
x3x3x . x3x .  &    144 |    72   144   144     0 |    24    36     0    36    36     0    48     0    72    36    24    36 |    6    0   12   12    0    0    18    18     0    0     0    0   12    0   24   24    0    0    0 |   0    3    3    0    0    0    0    4    0    0    0    0    0    6    0    0   0    0    4 |   *   *   * 560   *   *   *    *   *   *   *  * |  1  0   0  1
x3x3x . x . x  &     96 |    96    48    96     0 |    16    48     0    48    24    24    16     0    24     0     0    24 |    4    0    8    0    8    0    24    12    24    0     0    0    8    0    8    0    0    0    0 |   0    2    0    2    0    0    0    0    4    0    0    0    0    4    6    0   0    0    0 |   *   *   *   * 840   *   *    *   *   *   *  * |  0  1   0  1
x3x3x . . x3x  &    144 |   144   144    72     0 |    48    36     0    36    72    36    24     0    36    36     0     0 |    6    0   12   24   24    0     0    18    18    0     0    0   12    0    0   12    0    0    0 |   0    0    3    3    0    0    0    4    6    4    0    0    0    0    0    0   0    0    0 |   *   *   *   *   * 560   *    *   *   *   *  * |  0  0   1  1
x3x . x3x3x .  &    144 |    72   144    72    72 |    24     0    36    36    36     0    24    72    36    36    24     0 |    0   12   12   12    0    0     0     0     0   12    18    0   12    6    0   12   12   18    0 |   0    0    0    0    4    6    0    4    0    0    0    0    0    0    0    3   0    3    0 |   *   *   *   *   *   * 560    *   *   *   *  * |  1  0   1  0
x3x . x3x . x  &     72 |    72    36    36    36 |    12    18    36    18    18    18     0    18    18     0    12     0 |    0    6    6    0    6    6     0     9     9    6     9    9    0    0    0    0    6    0    0 |   0    0    0    0    2    0    3    0    3    0    0    3    3    0    0    0   0    0    0 |   *   *   *   *   *   *   * 1120   *   *   *  * |  0  1   1  0
x3x . x . x3x        72 |    72    72     0    36 |    24     0    36     0    36    18     0    36     0    18     0     0 |    0   12    0   12   12    0     0     0     0    0    18    9    0    0    0    0    0    9    0 |   0    0    0    0    0    6    6    0    0    2    0    0    0    0    0    0   0    0    0 |   *   *   *   *   *   *   *    * 560   *   *  * |  0  0   2  0
x . x3x3x3x .  &    240 |   120   120   240   120 |     0    60    60    60    60     0    40    60    60     0    80    60 |    0    0    0    0    0   20    30    30     0   20    30    0   20   10   20    0   20    0   10 |   0    0    0    0    0    0    0    0    0    0    5   10    0   10    0    5   2    0    0 |   *   *   *   *   *   *   *    *   * 336   *  * |  1  1   0  0
x . x3x3x . x        96 |    96     0    96    48 |     0    48    48    48     0    24     0     0     0     0    32    24 |    0    0    0    0    0   16    24     0    24   16     0   12    0    0    0    0    0    0    4 |   0    0    0    0    0    0    0    0    0    0    4    0    8    0    6    0   0    0    0 |   *   *   *   *   *   *   *    *   *   * 420  * |  0  2   0  0
. x3x3x3x3x .       720 |     0   720   720   360 |     0     0     0     0     0     0   240   360   360   180   240   180 |    0    0    0    0    0    0     0     0     0    0     0    0    0   60  120  120  120   90   30 |   0    0    0    0    0    0    0    0    0    0    0    0    0    0    0    0  12   30   20 |   *   *   *   *   *   *   *    *   *   *   * 56 |  2  0   0  0
-----------------+-------+-------------------------+-------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------+-------------------------------------------------+-------------
x3x3x3x3x3x .  &   5040 |  2520  5040  5040  2520 |   840  1260  1260  1260  1260     0  1680  2520  2520  1260  1680  1260 |  210  420  420  420    0  420   630   630     0  420   630    0  420  420  840  840  840  630  210 |  42  105  105    0  140  210    0  140    0    0  105  210    0  210    0  105  84  210  140 |   7  21   0  35   0   0  35    0   0  21   0  7 | 16  *   *  *
x3x3x3x3x . x  &   1440 |  1440   720  1440   720 |   240   720   720   720   360   360   240   360   360     0   480   360 |   60  120  120    0  120  240   360   180   360  240   180  180  120   60  120    0  120    0   60 |  12   30    0   30   40    0   60    0   60    0   60   60  120   60   90   30  12    0    0 |   2   0   6   0  15   0   0   20   0   6  15  0 |  * 56   *  *
x3x3x3x . x3x  &    720 |   720   720   360   360 |   240   180   360   180   360   180   120   360   180   180   120     0 |   30  120   60  120  120   60     0    90    90   60   180   90   60   30    0   60   60   90    0 |   6    0   15   15   20   60   60   20   30   20    0   30   30    0    0   15   0   15    0 |   0   3   3   0   0   5   5   10  10   0   0  0 |  *  * 112  *
x3x3x . x3x3x       576 |   576   576   576     0 |   192   288     0   288   288   144   192     0   288   144     0   144 |   48    0   96   96   96    0   144   144   144    0     0    0   96    0   96   96    0    0    0 |   0   24   24   24    0    0    0   32   48   16    0    0    0   48   36    0   0    0   16 |   0   0   0   8  12   8   0    0   0   0   0  0 |  *  *   * 70

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