The hull of this degenerate polyzetton is naq.

Incidence matrix according to Dynkin symbol

oo3xo3oo3oo3oo3ox3oo&#x   → height = 0
(roc || inv roc)

o.3o.3o.3o.3o.3o.3o.    & | 56 |  12  30 |   6  30  180 |  15  40   80  240  360 |  20  30 105  300  150  600 | 15  12  66  240  240  60  36  180  120 |  6  2 16  72  90  90  70 12 | 1  8  26 15
--------------------------+----+---------+--------------+------------------------+----------------------------+----------------------------------------+-----------------------------+------------
.. x. .. .. .. .. ..    & |  2 | 336   * |   1   5   10 |   5  10   10   30   30 |  10  10  30   40   30   80 | 10   5  30   65   40  10  10   35   20 |  5  1 10  31  25  25  15  5 | 1  6  11  5
oo3oo3oo3oo3oo3oo3oo&#x   |  2 |   * 840 |   0   0    8 |   0   0    4   12   24 |   0   0   6   24    8   48 |  0   0   4   24   24   6   2   16   12 |  0  0  1   8  12  12   8  2 | 0  2   4  3
--------------------------+----+---------+--------------+------------------------+----------------------------+----------------------------------------+-----------------------------+------------
o.3x. .. .. .. .. ..    & |  3 |   3   0 | 112   *    * |   5   0   10    0    0 |  10   0  30   30    0    0 | 10   0  30   60   20  10   0    0    0 |  5  0 10  30  20  25   5  0 | 1  5  11  5
.. x.3o. .. .. .. ..    & |  3 |   3   0 |   * 560    * |   1   4    0    6    0 |   4   6   6    0   12   12 |  6   4  12   12    4   0   6   12    4 |  4  1  6  12   5   4   4  4 | 1  5   4  1
.. xo .. .. .. .. ..&#x & |  3 |   1   2 |   *   * 3360 |   0   0    1    3    6 |   0   0   3    9    3   18 |  0   0   3   15   12   3   1    8    6 |  0  0  1   7   9   9   5  2 | 0  3   4  3
--------------------------+----+---------+--------------+------------------------+----------------------------+----------------------------------------+-----------------------------+------------
o.3x.3o. .. .. .. ..    & ♦  6 |  12   0 |   4   4    0 | 140   *    *    *    * |   4   0   6    0    0    0 |  6   0  12   12    0   0   0    0    0 |  4  0  6  12   4   4   0  0 | 1  4   4  1
.. x.3o.3o. .. .. ..    & ♦  4 |   6   0 |   0   4    0 |   * 560    *    *    * |   1   3   0    0    3    0 |  3   3   3    0    0   0   3    3    0 |  3  1  3   3   0   0   1  3 | 1  4   1  0
oo3xo .. .. .. .. ..&#x & ♦  4 |   3   3 |   1   0    3 |   *   * 1120    *    * |   0   0   3    6    0    0 |  0   0   3   12    6   3   0    0    0 |  0  0  1   6   6   9   2  0 | 0  2   4  3
.. xo3oo .. .. .. ..&#x & ♦  4 |   3   3 |   0   1    3 |   *   *    * 3360    * |   0   0   1    0    2    4 |  0   0   2    4    2   0   1    4    2 |  0  0  1   4   3   2   2  2 | 0  3   2  1
.. xo .. .. .. ox ..&#x   ♦  4 |   2   4 |   0   0    4 |   *   *    *    * 5040 |   0   0   0    2    0    4 |  0   0   0    4    4   1   0    2    2 |  0  0  0   2   4   4   2  1 | 0  2   2  2
--------------------------+----+---------+--------------+------------------------+----------------------------+----------------------------------------+-----------------------------+------------
o.3x.3o.3o. .. .. ..    & ♦ 10 |  30   0 |  10  20    0 |   5   5    0    0    0 | 112   *   *    *    *    * |  3   0   3    0    0   0   0    0    0 |  3  0  3   3   0   0   0  2 | 1  3   1  0
.. x.3o.3o.3o. .. ..    & ♦  5 |  10   0 |   0  10    0 |   0   5    0    0    0 |   * 336   *    *    *    * |  1   2   0    0    0   0   1    0    0 |  2  1  1   0   0   0   0  2 | 1  3   0  0
oo3xo3oo .. .. .. ..&#x & ♦  7 |  12   6 |   4   4   12 |   1   0    4    4    0 |   *   * 840    *    *    * |  0   0   2    4    0   0   0    0    0 |  0  0  1   4   2   2   0  0 | 0  2   2  1
oo3xo .. .. .. ox ..&#x & ♦  5 |   4   6 |   1   0    9 |   0   0    2    0    3 |   *   *   * 3360    *    * |  0   0   0    2    2   1   0    0    0 |  0  0  0   1   2   4   1  0 | 0  1   2  2
.. xo3oo3oo .. .. ..&#x & ♦  5 |   6   4 |   0   4    6 |   0   1    0    4    0 |   *   *   *    * 1680    * |  0   0   1    0    0   0   1    2    0 |  0  0  1   2   0   0   1  2 | 0  3   1  0
.. xo3oo .. .. ox ..&#x & ♦  5 |   4   6 |   0   1    9 |   0   0    0    2    3 |   *   *   *    *    * 6720 |  0   0   0    1    1   0   0    1    1 |  0  0  0   1   2   1   1  1 | 0  2   1  1
--------------------------+----+---------+--------------+------------------------+----------------------------+----------------------------------------+-----------------------------+------------
o.3x.3o.3o.3o. .. ..    & ♦ 15 |  60   0 |  20  60    0 |  15  30    0    0    0 |   6   6   0    0    0    0 | 56   *   *    *    *   *   *    *    * |  2  0  1   0   0   0   0  1 | 1  2   0  0
.. x.3o.3o.3o.3o. ..    & ♦  6 |  15   0 |   0  20    0 |   0  15    0    0    0 |   0   6   0    0    0    0 |  * 112   *    *    *   *   *    *    * |  1  1  0   0   0   0   0  1 | 1  2   0  0
oo3xo3oo3oo .. .. ..&#x & ♦ 11 |  30  10 |  10  20   30 |   5   5   10   20    0 |   1   0   5    0    5    0 |  *   * 336    *    *   *   *    *    * |  0  0  1   2   0   0   0  0 | 0  2   1  0
oo3xo3oo .. .. ox ..&#x & ♦  8 |  13  12 |   4   4   30 |   1   0    8    8   12 |   0   0   2    4    0    4 |  *   *   * 1680    *   *   *    *    * |  0  0  0   1   1   1   0  0 | 0  1   1  1
oo3xo .. .. oo3ox ..&#x & ♦  6 |   6   9 |   1   1   18 |   0   0    3    3    9 |   0   0   0    3    0    3 |  *   *   *    * 2240   *   *    *    * |  0  0  0   0   1   1   1  0 | 0  1   1  1
oo3xo .. .. .. ox3oo&#x   ♦  6 |   6   9 |   2   0   18 |   0   0    6    0    9 |   0   0   0    6    0    0 |  *   *   *    *    * 560   *    *    * |  0  0  0   0   0   4   0  0 | 0  0   2  2
.. xo3oo3oo3oo .. ..&#x & ♦  6 |  10   5 |   0  10   10 |   0   5    0   10    0 |   0   1   0    0    5    0 |  *   *   *    *    *   * 336    *    * |  0  0  1   0   0   0   0  2 | 0  3   0  0
.. xo3oo3oo .. ox ..&#x & ♦  6 |   7   8 |   0   4   16 |   0   1    0    8    6 |   0   0   0    0    2    4 |  *   *   *    *    *   *   * 1680    * |  0  0  0   1   0   0   1  1 | 0  2   1  0
.. xo3oo .. oo3ox ..&#x   ♦  6 |   6   9 |   0   2   18 |   0   0    0    6    9 |   0   0   0    0    0    6 |  *   *   *    *    *   *   *    * 1120 |  0  0  0   0   2   0   0  1 | 0  2   0  1
--------------------------+----+---------+--------------+------------------------+----------------------------+----------------------------------------+-----------------------------+------------
o.3x.3o.3o.3o.3o. ..    & ♦ 21 | 105   0 |  35 140    0 |  35 105    0    0    0 |  21  42   0    0    0    0 |  7   7   0    0    0   0   0    0    0 | 16  *  *   *   *   *   *  * | 1  1   0  0
.. x.3o.3o.3o.3o.3o.    & ♦  7 |  21   0 |   0  35    0 |   0  35    0    0    0 |   0  21   0    0    0    0 |  0   7   0    0    0   0   0    0    0 |  * 16  *   *   *   *   *  * | 1  1   0  0
oo3xo3oo3oo3oo .. ..&#x & ♦ 16 |  60  15 |  20  60   60 |  15  30   20   60    0 |   6   6  15    0   30    0 |  1   0   6    0    0   0   6    0    0 |  *  * 56   *   *   *   *  * | 0  2   0  0
oo3xo3oo3oo .. ox ..&#x & ♦ 12 |  31  20 |  10  20   70 |   5   5   20   40   30 |   1   0  10   10   10   20 |  0   0   2    5    0   0   0    5    0 |  *  *  * 336   *   *   *  * | 0  1   1  0
oo3xo3oo .. oo3ox ..&#x & ♦  9 |  15  18 |   4   5   54 |   1   0   12   18   36 |   0   0   3   12    0   24 |  0   0   0    3    4   0   0    0    4 |  *  *  *   * 560   *   *  * | 0  1   0  1
oo3xo3oo .. .. ox3oo&#x & ♦  9 |  15  18 |   5   4   54 |   1   0   18   12   36 |   0   0   3   24    0   12 |  0   0   0    3    4   4   0    0    0 |  *  *  *   *   * 560   *  * | 0  0   1  1
oo3xo .. oo3oo3ox ..&#x & ♦  7 |   9  12 |   1   4   30 |   0   1    4   12   18 |   0   0   0    6    3   12 |  0   0   0    0    4   0   0    3    0 |  *  *  *   *   *   * 560  * | 0  1   1  0
.. xo3oo3oo3oo3ox ..&#x   ♦ 12 |  30  30 |   0  40  120 |   0  30    0  120   90 |   0  12   0    0   60  120 |  0   2   0    0    0   0  12   30   20 |  *  *  *   *   *   *   * 56 | 0  2   0  0
--------------------------+----+---------+--------------+------------------------+----------------------------+----------------------------------------+-----------------------------+------------
o.3x.3o.3o.3o.3o.3o.    & ♦ 28 | 168   0 |  56 280    0 |  70 280    0    0    0 |  56 168   0    0    0    0 | 28  56   0    0    0   0   0    0    0 |  8  8  0   0   0   0   0  0 | 2  *   *  *
oo3xo3oo3oo3oo3ox ..&#x & ♦ 28 | 126 105 |  35 175  630 |  35 140  140  630  630 |  21  63 105  210  315  840 |  7  14  42  105  140   0  63  210  140 |  1  1  7  21  35   0  35  7 | * 16   *  *
oo3xo3oo3oo .. ox3oo&#x & ♦ 13 |  33  30 |  11  20  120 |   5   5   40   60   90 |   1   0  15   60   15   60 |  0   0   3   15   20  10   0   15    0 |  0  0  0   3   0   5   5  0 | *  * 112  *
oo3xo3oo .. oo3ox3oo&#x   ♦ 12 |  24  36 |   8   8  144 |   2   0   48   48  144 |   0   0  12   96    0   96 |  0   0   0   24   32  16   0    0   16 |  0  0  0   0   8   8   0  0 | *  *   * 70  (degenerate in turn!)