Acronym gippiddip Name great-prismatodecachoron prism Circumradius sqrt(21)/2 = 2.291288 Confer general polytopal classes: segmentotera   lace simplices Externallinks

Incidence matrix according to Dynkin symbol

```x x3x3x3x

. . . . . | 240 |   1   1   1   1   1 |  1  1  1  1  1  1  1  1  1  1 |  1  1  1  1  1  1  1  1  1  1 | 1  1  1 1 1
----------+-----+---------------------+-------------------------------+-------------------------------+------------
x . . . . |   2 | 120   *   *   *   * |  1  1  1  1  0  0  0  0  0  0 |  1  1  1  1  1  1  0  0  0  0 | 1  1  1 1 0
. x . . . |   2 |   * 120   *   *   * |  1  0  0  0  1  1  1  0  0  0 |  1  1  1  0  0  0  1  1  1  0 | 1  1  1 0 1
. . x . . |   2 |   *   * 120   *   * |  0  1  0  0  1  0  0  1  1  0 |  1  0  0  1  1  0  1  1  0  1 | 1  1  0 1 1
. . . x . |   2 |   *   *   * 120   * |  0  0  1  0  0  1  0  1  0  1 |  0  1  0  1  0  1  1  0  1  1 | 1  0  1 1 1
. . . . x |   2 |   *   *   *   * 120 |  0  0  0  1  0  0  1  0  1  1 |  0  0  1  0  1  1  0  1  1  1 | 0  1  1 1 1
----------+-----+---------------------+-------------------------------+-------------------------------+------------
x x . . . |   4 |   2   2   0   0   0 | 60  *  *  *  *  *  *  *  *  * |  1  1  1  0  0  0  0  0  0  0 | 1  1  1 0 0
x . x . . |   4 |   2   0   2   0   0 |  * 60  *  *  *  *  *  *  *  * |  1  0  0  1  1  0  0  0  0  0 | 1  1  0 1 0
x . . x . |   4 |   2   0   0   2   0 |  *  * 60  *  *  *  *  *  *  * |  0  1  0  1  0  1  0  0  0  0 | 1  0  1 1 0
x . . . x |   4 |   2   0   0   0   2 |  *  *  * 60  *  *  *  *  *  * |  0  0  1  0  1  1  0  0  0  0 | 0  1  1 1 0
. x3x . . |   6 |   0   3   3   0   0 |  *  *  *  * 40  *  *  *  *  * |  1  0  0  0  0  0  1  1  0  0 | 1  1  0 0 1
. x . x . |   4 |   0   2   0   2   0 |  *  *  *  *  * 60  *  *  *  * |  0  1  0  0  0  0  1  0  1  0 | 1  0  1 0 1
. x . . x |   4 |   0   2   0   0   2 |  *  *  *  *  *  * 60  *  *  * |  0  0  1  0  0  0  0  1  1  0 | 0  1  1 0 1
. . x3x . |   6 |   0   0   3   3   0 |  *  *  *  *  *  *  * 40  *  * |  0  0  0  1  0  0  1  0  0  1 | 1  0  0 1 1
. . x . x |   4 |   0   0   2   0   2 |  *  *  *  *  *  *  *  * 60  * |  0  0  0  0  1  0  0  1  0  1 | 0  1  0 1 1
. . . x3x |   6 |   0   0   0   3   3 |  *  *  *  *  *  *  *  *  * 40 |  0  0  0  0  0  1  0  0  1  1 | 0  0  1 1 1
----------+-----+---------------------+-------------------------------+-------------------------------+------------
x x3x . . ♦  12 |   6   6   6   0   0 |  3  3  0  0  2  0  0  0  0  0 | 20  *  *  *  *  *  *  *  *  * | 1  1  0 0 0
x x . x . ♦   8 |   4   4   0   4   0 |  2  0  2  0  0  2  0  0  0  0 |  * 30  *  *  *  *  *  *  *  * | 1  0  1 0 0
x x . . x ♦   8 |   4   4   0   0   4 |  2  0  0  2  0  0  2  0  0  0 |  *  * 30  *  *  *  *  *  *  * | 0  1  1 0 0
x . x3x . ♦  12 |   6   0   6   6   0 |  0  3  3  0  0  0  0  2  0  0 |  *  *  * 20  *  *  *  *  *  * | 1  0  0 1 0
x . x . x ♦   8 |   4   0   4   0   4 |  0  2  0  2  0  0  0  0  2  0 |  *  *  *  * 30  *  *  *  *  * | 0  1  0 1 0
x . . x3x ♦  12 |   6   0   0   6   6 |  0  0  3  3  0  0  0  0  0  2 |  *  *  *  *  * 20  *  *  *  * | 0  0  1 1 0
. x3x3x . ♦  24 |   0  12  12  12   0 |  0  0  0  0  4  6  0  4  0  0 |  *  *  *  *  *  * 10  *  *  * | 1  0  0 0 1
. x3x . x ♦  12 |   0   6   6   0   6 |  0  0  0  0  2  0  3  0  3  0 |  *  *  *  *  *  *  * 20  *  * | 0  1  0 0 1
. x . x3x ♦  12 |   0   6   0   6   6 |  0  0  0  0  0  3  3  0  0  2 |  *  *  *  *  *  *  *  * 20  * | 0  0  1 0 1
. . x3x3x ♦  24 |   0   0  12  12  12 |  0  0  0  0  0  0  0  4  6  4 |  *  *  *  *  *  *  *  *  * 10 | 0  0  0 1 1
----------+-----+---------------------+-------------------------------+-------------------------------+------------
x x3x3x . ♦  48 |  24  24  24  24   0 | 12 12 12  0  8 12  0  8  0  0 |  4  6  0  4  0  0  2  0  0  0 | 5  *  * * *
x x3x . x ♦  24 |  12  12  12   0  12 |  6  6  0  6  4  0  6  0  6  0 |  2  0  3  0  3  0  0  2  0  0 | * 10  * * *
x x . x3x ♦  24 |  12  12   0  12  12 |  6  0  6  6  0  6  6  0  0  4 |  0  3  3  0  0  2  0  0  2  0 | *  * 10 * *
x . x3x3x ♦  48 |  24   0  24  24  24 |  0 12 12 12  0  0  0  8 12  8 |  0  0  0  4  6  4  0  0  0  2 | *  *  * 5 *
. x3x3x3x ♦ 120 |   0  60  60  60  60 |  0  0  0  0 20 30 30 20 30 20 |  0  0  0  0  0  0  5 10 10  5 | *  *  * * 2
```
```or
. . . . .    | 240 |   1   2   2 |   2   2  2   2  1  1 |  2  2  1  1  2  2 |  2  2 1
-------------+-----+-------------+----------------------+-------------------+--------
x . . . .    |   2 | 120   *   * |   2   2  0   0  0  0 |  2  2  1  1  0  0 |  2  2 0
. x . . .  & |   2 |   * 240   * |   1   0  1   1  1  0 |  1  1  1  0  1  2 |  1  2 1
. . x . .  & |   2 |   *   * 240 |   0   1  1   1  0  1 |  1  1  0  1  2  1 |  2  1 1
-------------+-----+-------------+----------------------+-------------------+--------
x x . . .  & |   4 |   2   2   0 | 120   *  *   *  *  * |  1  1  1  0  0  0 |  1  2 0
x . x . .  & |   4 |   2   0   2 |   * 120  *   *  *  * |  1  1  0  1  0  0 |  2  1 0
. x3x . .  & |   6 |   0   3   3 |   *   * 80   *  *  * |  1  0  0  0  1  1 |  1  1 1
. x . x .  & |   4 |   0   2   2 |   *   *  * 120  *  * |  0  1  0  0  1  1 |  1  1 1
. x . . x    |   4 |   0   4   0 |   *   *  *   * 60  * |  0  0  1  0  0  2 |  0  2 1
. . x3x .    |   6 |   0   0   6 |   *   *  *   *  * 40 |  0  0  0  1  2  0 |  2  0 1
-------------+-----+-------------+----------------------+-------------------+--------
x x3x . .  & ♦  12 |   6   6   6 |   3   3  2   0  0  0 | 40  *  *  *  *  * |  1  1 0
x x . x .  & ♦   8 |   4   4   4 |   2   2  0   2  0  0 |  * 60  *  *  *  * |  1  1 0
x x . . x    ♦   8 |   4   8   0 |   4   0  0   0  2  0 |  *  * 30  *  *  * |  0  2 0
x . x3x .    ♦  12 |   6   0  12 |   0   6  0   0  0  2 |  *  *  * 20  *  * |  2  0 0
. x3x3x .  & ♦  24 |   0  12  24 |   0   0  4   6  0  4 |  *  *  *  * 20  * |  1  0 1
. x3x . x  & ♦  12 |   0  12   6 |   0   0  2   3  3  0 |  *  *  *  *  * 40 |  0  1 1
-------------+-----+-------------+----------------------+-------------------+--------
x x3x3x .  & ♦  48 |  24  24  48 |  12  24  8  12  0  8 |  4  6  0  4  2  0 | 10  * *
x x3x . x  & ♦  24 |  12  24  12 |  12   6  4   6  6  0 |  2  3  3  0  0  2 |  * 20 *
. x3x3x3x    ♦ 120 |   0 120 120 |   0   0 40  60 30 20 |  0  0  0  0 10 20 |  *  * 2
```

```xx3xx3xx3xx&#x   → height = 1
(gippid || gippid)

o.3o.3o.3o.    | 120   * |  1  1  1  1   1  0  0  0  0 |  1  1  1  1  1  1  1  1  1  1  0  0  0  0  0  0 | 1  1  1 1  1  1  1  1  1  1 0  0  0 0 | 1 1  1  1 1 0
.o3.o3.o3.o    |   * 120 |  0  0  0  0   1  1  1  1  1 |  0  0  0  0  0  0  1  1  1  1  1  1  1  1  1  1 | 0  0  0 0  1  1  1  1  1  1 1  1  1 1 | 0 1  1  1 1 1
---------------+---------+-----------------------------+-------------------------------------------------+---------------------------------------+--------------
x. .. .. ..    |   2   0 | 60  *  *  *   *  *  *  *  * |  1  1  1  0  0  0  1  0  0  0  0  0  0  0  0  0 | 1  1  1 0  1  1  1  0  0  0 0  0  0 0 | 1 1  1  1 0 0
.. x. .. ..    |   2   0 |  * 60  *  *   *  *  *  *  * |  1  0  0  1  1  0  0  1  0  0  0  0  0  0  0  0 | 1  1  0 1  1  0  0  1  1  0 0  0  0 0 | 1 1  1  0 1 0
.. .. x. ..    |   2   0 |  *  * 60  *   *  *  *  *  * |  0  1  0  1  0  1  0  0  1  0  0  0  0  0  0  0 | 1  0  1 1  0  1  0  1  0  1 0  0  0 0 | 1 1  0  1 1 0
.. .. .. x.    |   2   0 |  *  *  * 60   *  *  *  *  * |  0  0  1  0  1  1  0  0  0  1  0  0  0  0  0  0 | 0  1  1 1  0  0  1  0  1  1 0  0  0 0 | 1 0  1  1 1 0
oo3oo3oo3oo&#x |   1   1 |  *  *  *  * 120  *  *  *  * |  0  0  0  0  0  0  1  1  1  1  0  0  0  0  0  0 | 0  0  0 0  1  1  1  1  1  1 0  0  0 0 | 0 1  1  1 1 0
.x .. .. ..    |   0   2 |  *  *  *  *   * 60  *  *  * |  0  0  0  0  0  0  1  0  0  0  1  1  1  0  0  0 | 0  0  0 0  1  1  1  0  0  0 1  1  1 0 | 0 1  1  1 0 1
.. .x .. ..    |   0   2 |  *  *  *  *   *  * 60  *  * |  0  0  0  0  0  0  0  1  0  0  1  0  0  1  1  0 | 0  0  0 0  1  0  0  1  1  0 1  1  0 1 | 0 1  1  0 1 1
.. .. .x ..    |   0   2 |  *  *  *  *   *  *  * 60  * |  0  0  0  0  0  0  0  0  1  0  0  1  0  1  0  1 | 0  0  0 0  0  1  0  1  0  1 1  0  1 1 | 0 1  0  1 1 1
.. .. .. .x    |   0   2 |  *  *  *  *   *  *  *  * 60 |  0  0  0  0  0  0  0  0  0  1  0  0  1  0  1  1 | 0  0  0 0  0  0  1  0  1  1 0  1  1 1 | 0 0  1  1 1 1
---------------+---------+-----------------------------+-------------------------------------------------+---------------------------------------+--------------
x.3x. .. ..    |   6   0 |  3  3  0  0   0  0  0  0  0 | 20  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  1  0 0  1  0  0  0  0  0 0  0  0 0 | 1 1  1  0 0 0
x. .. x. ..    |   4   0 |  2  0  2  0   0  0  0  0  0 |  * 30  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  0  1 0  0  1  0  0  0  0 0  0  0 0 | 1 1  0  1 0 0
x. .. .. x.    |   4   0 |  2  0  0  2   0  0  0  0  0 |  *  * 30  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  1 0  0  0  1  0  0  0 0  0  0 0 | 1 0  1  1 0 0
.. x.3x. ..    |   6   0 |  0  3  3  0   0  0  0  0  0 |  *  *  * 20  *  *  *  *  *  *  *  *  *  *  *  * | 1  0  0 1  0  0  0  1  0  0 0  0  0 0 | 1 1  0  0 1 0
.. x. .. x.    |   4   0 |  0  2  0  2   0  0  0  0  0 |  *  *  *  * 30  *  *  *  *  *  *  *  *  *  *  * | 0  1  0 1  0  0  0  0  1  0 0  0  0 0 | 1 0  1  0 1 0
.. .. x.3x.    |   6   0 |  0  0  3  3   0  0  0  0  0 |  *  *  *  *  * 20  *  *  *  *  *  *  *  *  *  * | 0  0  1 1  0  0  0  0  0  1 0  0  0 1 | 1 0  0  1 1 0
xx .. .. ..&#x |   2   2 |  1  0  0  0   2  1  0  0  0 |  *  *  *  *  *  * 60  *  *  *  *  *  *  *  *  * | 0  0  0 0  1  1  1  0  0  0 0  0  0 0 | 0 1  1  1 0 0
.. xx .. ..&#x |   2   2 |  0  1  0  0   2  0  1  0  0 |  *  *  *  *  *  *  * 60  *  *  *  *  *  *  *  * | 0  0  0 0  1  0  0  1  1  0 0  0  0 0 | 0 1  1  0 1 0
.. .. xx ..&#x |   2   2 |  0  0  1  0   2  0  0  1  0 |  *  *  *  *  *  *  *  * 60  *  *  *  *  *  *  * | 0  0  0 0  0  1  0  1  0  1 0  0  0 0 | 0 1  0  1 1 0
.. .. .. xx&#x |   2   2 |  0  0  0  1   2  0  0  0  1 |  *  *  *  *  *  *  *  *  * 60  *  *  *  *  *  * | 0  0  0 0  0  0  1  0  1  1 0  0  0 0 | 0 0  1  1 1 0
.x3.x .. ..    |   0   6 |  0  0  0  0   0  3  3  0  0 |  *  *  *  *  *  *  *  *  *  * 20  *  *  *  *  * | 0  0  0 0  1  0  0  0  0  0 1  1  0 0 | 0 1  1  0 0 1
.x .. .x ..    |   0   4 |  0  0  0  0   0  2  0  2  0 |  *  *  *  *  *  *  *  *  *  *  * 30  *  *  *  * | 0  0  0 0  0  1  0  0  0  0 1  0  1 0 | 0 1  0  1 0 1
.x .. .. .x    |   0   4 |  0  0  0  0   0  2  0  0  2 |  *  *  *  *  *  *  *  *  *  *  *  * 30  *  *  * | 0  0  0 0  0  0  1  0  0  0 0  1  0 1 | 0 0  1  1 0 1
.. .x3.x ..    |   0   6 |  0  0  0  0   0  0  3  3  0 |  *  *  *  *  *  *  *  *  *  *  *  *  * 20  *  * | 0  0  0 0  0  0  0  1  0  0 1  0  0 1 | 0 1  0  0 1 1
.. .x .. .x    |   0   4 |  0  0  0  0   0  0  2  0  2 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 30  * | 0  0  0 0  0  0  0  0  1  0 0  1  0 1 | 0 0  1  0 1 1
.. .. .x3.x    |   0   6 |  0  0  0  0   0  0  0  3  3 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 20 | 0  0  0 0  0  0  0  0  0  1 0  0  1 1 | 0 0  0  1 1 1
---------------+---------+-----------------------------+-------------------------------------------------+---------------------------------------+--------------
x.3x.3x. ..    ♦  24   0 | 12 12 12  0   0  0  0  0  0 |  4  6  0  4  0  0  0  0  0  0  0  0  0  0  0  0 | 5  *  * *  *  *  *  *  *  * *  *  * * | 1 1  0  0 0 0
x.3x. .. x.    ♦  12   0 |  6  6  0  6   0  0  0  0  0 |  2  0  3  0  3  0  0  0  0  0  0  0  0  0  0  0 | * 10  * *  *  *  *  *  *  * *  *  * * | 1 0  1  0 0 0
x. .. x.3x.    ♦  12   0 |  6  0  6  6   0  0  0  0  0 |  0  3  3  0  0  2  0  0  0  0  0  0  0  0  0  0 | *  * 10 *  *  *  *  *  *  * *  *  * * | 1 0  0  1 0 0
.. x.3x.3x.    ♦  24   0 |  0 12 12 12   0  0  0  0  0 |  0  0  0  4  6  4  0  0  0  0  0  0  0  0  0  0 | *  *  * 5  *  *  *  *  *  * *  *  * * | 1 0  0  0 1 0
xx3xx .. ..&#x ♦   6   6 |  3  3  0  0   6  3  3  0  0 |  1  0  0  0  0  0  3  3  0  0  1  0  0  0  0  0 | *  *  * * 20  *  *  *  *  * *  *  * * | 0 1  1  0 0 0
xx .. xx ..&#x ♦   4   4 |  2  0  2  0   4  2  0  2  0 |  0  1  0  0  0  0  2  0  2  0  0  1  0  0  0  0 | *  *  * *  * 30  *  *  *  * *  *  * * | 0 1  0  1 0 0
xx .. .. xx&#x ♦   4   4 |  2  0  0  2   4  2  0  0  2 |  0  0  1  0  0  0  2  0  0  2  0  0  1  0  0  0 | *  *  * *  *  * 30  *  *  * *  *  * * | 0 0  1  1 0 0
.. xx3xx ..&#x ♦   6   6 |  0  3  3  0   6  0  3  3  0 |  0  0  0  1  0  0  0  3  3  0  0  0  0  1  0  0 | *  *  * *  *  *  * 20  *  * *  *  * * | 0 1  0  0 1 0
.. xx .. xx&#x ♦   4   4 |  0  2  0  2   4  0  2  0  2 |  0  0  0  0  1  0  0  2  0  2  0  0  0  0  1  0 | *  *  * *  *  *  *  * 30  * *  *  * * | 0 0  1  0 1 0
.. .. xx3xx&#x ♦   6   6 |  0  0  3  3   6  0  0  3  3 |  0  0  0  0  0  1  0  0  3  3  0  0  0  0  0  1 | *  *  * *  *  *  *  *  * 20 *  *  * * | 0 0  0  1 1 0
.x3.x3.x ..    ♦   0  24 |  0  0  0  0   0 12 12 12  0 |  0  0  0  0  0  0  0  0  0  0  4  6  0  4  0  0 | *  *  * *  *  *  *  *  *  * 5  *  * * | 0 1  0  0 0 1
.x3.x .. .x    ♦   0  12 |  0  0  0  0   0  6  6  0  6 |  0  0  0  0  0  0  0  0  0  0  2  0  3  0  3  0 | *  *  * *  *  *  *  *  *  * * 10  * * | 0 0  1  0 0 1
.x .. .x3.x    ♦   0  12 |  0  0  0  0   0  6  0  6  6 |  0  0  0  0  0  0  0  0  0  0  0  3  3  0  0  2 | *  *  * *  *  *  *  *  *  * *  * 10 * | 0 0  0  1 0 1
.. .x3.x3.x3   ♦   0  24 |  0  0  0  0   0  0 12 12 12 |  0  0  0  0  0  0  0  0  0  0  0  0  0  4  6  4 | *  *  * *  *  *  *  *  *  * *  *  * 5 | 0 0  0  0 1 1
---------------+---------+-----------------------------+-------------------------------------------------+---------------------------------------+--------------
x.3x.3x.3x.    ♦ 120   0 | 60 60 60 60   0  0  0  0  0 | 20 30 30 20 30 20  0  0  0  0  0  0  0  0  0  0 | 5 10 10 5  0  0  0  0  0  0 0  0  0 0 | 1 *  *  * * *
xx3xx3xx ..&#x ♦  24  24 | 12 12 12  0  24 12 12 12  0 |  4  6  0  4  0  0 12 12 12  0  4  6  0  4  0  0 | 1  0  0 0  4  6  0  4  0  0 1  0  0 0 | * 5  *  * * *
xx3xx .. xx&#x ♦  12  12 |  6  6  0  6  12  6  6  0  6 |  2  0  3  0  3  0  6  6  0  6  2  0  3  0  3  0 | 0  1  0 0  2  0  3  0  3  0 0  1  0 0 | * * 10  * * *
xx .. xx3xx&#x ♦  12  12 |  6  0  6  6  12  6  0  6  6 |  0  3  3  0  0  2  6  0  6  6  0  3  3  0  0  2 | 0  0  1 0  0  3  3  0  0  2 0  0  1 0 | * *  * 10 * *
.. xx3xx3xx&#x ♦  24  24 |  0 12 12 12  24  0 12 12 12 |  0  0  0  4  6  4  0 12 12 12  0  0  0  4  6  4 | 0  0  0 1  0  0  0  4  6  4 0  0  0 1 | * *  *  * 5 *
.x3.x3.x3.x    ♦   0 120 |  0  0  0  0   0 60 60 60 60 |  0  0  0  0  0  0  0  0  0  0 20 30 30 20 30 20 | 0  0  0 0  0  0  0  0  0  0 5 10 10 5 | * *  *  * * 1
```
```or
o.3o.3o.3o.       | 120   * |   2   2   1   0   0 |  2  2  1  1   2   2  0  0  0  0 |  2  2  2  2  1  1  0  0 | 1  2  2 0
.o3.o3.o3.o       |   * 120 |   0   0   1   2   2 |  0  0  0  0   2   2  2  2  1  1 |  0  0  2  2  1  1  2  2 | 0  2  2 1
------------------+---------+---------------------+---------------------------------+-------------------------+----------
x. .. .. ..     & |   2   0 | 120   *   *   *   * |  1  1  1  0   1   0  0  0  0  0 |  1  2  1  1  1  0  0  0 | 1  1  2 0
.. x. .. ..     & |   2   0 |   * 120   *   *   * |  1  1  0  1   0   1  0  0  0  0 |  2  1  1  1  0  1  0  0 | 1  2  1 0
oo3oo3oo3oo&#x    |   1   1 |   *   * 120   *   * |  0  0  0  0   2   2  0  0  0  0 |  0  0  2  2  1  1  0  0 | 0  2  2 0
.x .. .. ..     & |   0   2 |   *   *   * 120   * |  0  0  0  0   1   0  1  1  1  0 |  0  0  1  1  1  0  1  2 | 0  1  2 1
.. .x .. ..     & |   0   2 |   *   *   *   * 120 |  0  0  0  0   0   1  1  1  0  1 |  0  0  1  1  0  1  2  1 | 0  2  1 1
------------------+---------+---------------------+---------------------------------+-------------------------+----------
x.3x. .. ..     & |   6   0 |   3   3   0   0   0 | 40  *  *  *   *   *  *  *  *  * |  1  1  1  0  0  0  0  0 | 1  1  1 0
x. .. x. ..     & |   4   0 |   2   2   0   0   0 |  * 60  *  *   *   *  *  *  *  * |  1  1  0  1  0  0  0  0 | 1  1  1 0
x. .. .. x.       |   4   0 |   4   0   0   0   0 |  *  * 30  *   *   *  *  *  *  * |  0  2  0  0  1  0  0  0 | 1  0  2 0
.. x.3x. ..       |   6   0 |   0   6   0   0   0 |  *  *  * 20   *   *  *  *  *  * |  2  0  0  0  0  1  0  0 | 1  2  0 0
xx .. .. ..&#x  & |   2   2 |   1   0   2   1   0 |  *  *  *  * 120   *  *  *  *  * |  0  0  1  1  1  0  0  0 | 0  1  2 0
.. xx .. ..&#x  & |   2   2 |   0   1   2   0   1 |  *  *  *  *   * 120  *  *  *  * |  0  0  1  1  0  1  0  0 | 0  2  1 0
.x3.x .. ..     & |   0   6 |   0   0   0   3   3 |  *  *  *  *   *   * 40  *  *  * |  0  0  1  0  0  0  1  1 | 0  1  1 1
.x .. .x ..     & |   0   4 |   0   0   0   2   2 |  *  *  *  *   *   *  * 60  *  * |  0  0  0  1  0  0  1  1 | 0  1  1 1
.x .. .. .x       |   0   4 |   0   0   0   4   0 |  *  *  *  *   *   *  *  * 30  * |  0  0  0  0  1  0  0  2 | 0  0  2 1
.. .x3.x ..       |   0   6 |   0   0   0   0   6 |  *  *  *  *   *   *  *  *  * 20 |  0  0  0  0  0  1  2  0 | 0  2  0 1
------------------+---------+---------------------+---------------------------------+-------------------------+----------
x.3x.3x. ..     & ♦  24   0 |  12  24   0   0   0 |  4  6  0  4   0   0  0  0  0  0 | 10  *  *  *  *  *  *  * | 1  1  0 0
x.3x. .. x.     & ♦  12   0 |  12   6   0   0   0 |  2  3  3  0   0   0  0  0  0  0 |  * 20  *  *  *  *  *  * | 1  0  1 0
xx3xx .. ..&#x  & ♦   6   6 |   3   3   6   3   3 |  1  0  0  0   3   3  1  0  0  0 |  *  * 40  *  *  *  *  * | 0  1  1 0
xx .. xx ..&#x  & ♦   4   4 |   2   2   4   2   2 |  0  1  0  0   2   2  0  1  0  0 |  *  *  * 60  *  *  *  * | 0  1  1 0
xx .. .. xx&#x    ♦   4   4 |   4   0   4   4   0 |  0  0  1  0   4   0  0  0  1  0 |  *  *  *  * 30  *  *  * | 0  0  2 0
.. xx3xx ..&#x    ♦   6   6 |   0   6   6   0   6 |  0  0  0  1   0   6  0  0  0  1 |  *  *  *  *  * 20  *  * | 0  2  0 0
.x3.x3.x ..     & ♦   0  24 |   0   0   0  12  24 |  0  0  0  0   0   0  4  6  0  4 |  *  *  *  *  *  * 10  * | 0  1  0 1
.x3.x .. .x     & ♦   0  12 |   0   0   0  12   6 |  0  0  0  0   0   0  2  3  3  0 |  *  *  *  *  *  *  * 20 | 0  0  1 1
------------------+---------+---------------------+---------------------------------+-------------------------+----------
x.3x.3x.3x.       ♦ 120   0 | 120 120   0   0   0 | 40 60 30 20   0   0  0  0  0  0 | 10 20  0  0  0  0  0  0 | 1  *  * *
xx3xx3xx ..&#x  & ♦  24  24 |  12  24  24  12  24 |  4  6  0  4  12  24  4  6  0  4 |  1  0  4  6  0  4  1  0 | * 10  * *
xx3xx .. xx&#x  & ♦  12  12 |  12   6  12  12   6 |  2  3  3  0  12   6  2  3  3  0 |  0  1  2  3  3  0  0  1 | *  * 20 *
.x3.x3.x3.x       ♦   0 120 |   0   0   0 120 120 |  0  0  0  0   0   0 40 60 30 20 |  0  0  0  0  0  0 10 20 | *  *  * 1
```

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