Acronym tagopal (old: gatopal)
Name terigreatoprismated heptapeton,
pentiruncicantitruncated heptapeton
Circumradius sqrt(68/7) = 3.116775
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Incidence matrix according to Dynkin symbol

x3x3x3x3o3x

. . . . . . | 2520 |    1    1    1    2    2 |   1   1    2    2   1    2    2   2    2   1    2   1 |   1   2   2   2   2   1   2   1   2   2   1   2   1   1   2   1   1 |  2   2   1   2   1   1   2   1   1  1   2   1   1  1 | 1  2  1  1  1 1
------------+------+--------------------------+-------------------------------------------------------+---------------------------------------------------------------------+------------------------------------------------------+----------------
x . . . . . |    2 | 1260    *    *    *    * |   1   1    2    2   0    0    0   0    0   0    0   0 |   1   2   2   2   2   1   2   1   0   0   0   0   0   0   0   0   0 |  2   2   1   2   1   1   2   1   1  0   0   0   0  0 | 1  2  1  1  1 0
. x . . . . |    2 |    * 1260    *    *    * |   1   0    0    0   1    2    2   0    0   0    0   0 |   1   2   2   0   0   0   0   0   2   2   1   2   1   0   0   0   0 |  2   2   1   2   1   0   0   0   0  1   2   1   1  0 | 1  2  1  1  0 1
. . x . . . |    2 |    *    * 1260    *    * |   0   1    0    0   1    0    0   2    2   0    0   0 |   1   0   0   2   2   0   0   0   2   2   0   0   0   1   2   1   0 |  2   2   0   0   0   1   2   1   0  1   2   1   0  1 | 1  2  1  0  1 1
. . . x . . |    2 |    *    *    * 2520    * |   0   0    1    0   0    1    0   1    0   1    1   0 |   0   1   0   1   0   1   1   0   1   0   1   1   0   1   1   0   1 |  1   0   1   1   0   1   1   0   1  1   1   0   1  1 | 1  1  0  1  1 1
. . . . . x |    2 |    *    *    *    * 2520 |   0   0    0    1   0    0    1   0    1   0    1   1 |   0   0   1   0   1   0   1   1   0   1   0   1   1   0   1   1   1 |  0   1   0   1   1   0   1   1   1  0   1   1   1  1 | 0  1  1  1  1 1
------------+------+--------------------------+-------------------------------------------------------+---------------------------------------------------------------------+------------------------------------------------------+----------------
x3x . . . . |    6 |    3    3    0    0    0 | 420   *    *    *   *    *    *   *    *   *    *   * |   1   2   2   0   0   0   0   0   0   0   0   0   0   0   0   0   0 |  2   2   1   2   1   0   0   0   0  0   0   0   0  0 | 1  2  1  1  0 0
x . x . . . |    4 |    2    0    2    0    0 |   * 630    *    *   *    *    *   *    *   *    *   * |   1   0   0   2   2   0   0   0   0   0   0   0   0   0   0   0   0 |  2   2   0   0   0   1   2   1   0  0   0   0   0  0 | 1  2  1  0  1 0
x . . x . . |    4 |    2    0    0    2    0 |   *   * 1260    *   *    *    *   *    *   *    *   * |   0   1   0   1   0   1   1   0   0   0   0   0   0   0   0   0   0 |  1   0   1   1   0   1   1   0   1  0   0   0   0  0 | 1  1  0  1  1 0
x . . . . x |    4 |    2    0    0    0    2 |   *   *    * 1260   *    *    *   *    *   *    *   * |   0   0   1   0   1   0   1   1   0   0   0   0   0   0   0   0   0 |  0   1   0   1   1   0   1   1   1  0   0   0   0  0 | 0  1  1  1  1 0
. x3x . . . |    6 |    0    3    3    0    0 |   *   *    *    * 420    *    *   *    *   *    *   * |   1   0   0   0   0   0   0   0   2   2   0   0   0   0   0   0   0 |  2   2   0   0   0   0   0   0   0  1   2   1   0  0 | 1  2  1  0  0 1
. x . x . . |    4 |    0    2    0    2    0 |   *   *    *    *   * 1260    *   *    *   *    *   * |   0   1   0   0   0   0   0   0   1   0   1   1   0   0   0   0   0 |  1   0   1   1   0   0   0   0   0  1   1   0   1  0 | 1  1  0  1  0 1
. x . . . x |    4 |    0    2    0    0    2 |   *   *    *    *   *    * 1260   *    *   *    *   * |   0   0   1   0   0   0   0   0   0   1   0   1   1   0   0   0   0 |  0   1   0   1   1   0   0   0   0  0   1   1   1  0 | 0  1  1  1  0 1
. . x3x . . |    6 |    0    0    3    3    0 |   *   *    *    *   *    *    * 840    *   *    *   * |   0   0   0   1   0   0   0   0   1   0   0   0   0   1   1   0   0 |  1   0   0   0   0   1   1   0   0  1   1   0   0  1 | 1  1  0  0  1 1
. . x . . x |    4 |    0    0    2    0    2 |   *   *    *    *   *    *    *   * 1260   *    *   * |   0   0   0   0   1   0   0   0   0   1   0   0   0   0   1   1   0 |  0   1   0   0   0   0   1   1   0  0   1   1   0  1 | 0  1  1  0  1 1
. . . x3o . |    3 |    0    0    0    3    0 |   *   *    *    *   *    *    *   *    * 840    *   * |   0   0   0   0   0   1   0   0   0   0   1   0   0   1   0   0   1 |  0   0   1   0   0   1   0   0   1  1   0   0   1  1 | 1  0  0  1  1 1
. . . x . x |    4 |    0    0    0    2    2 |   *   *    *    *   *    *    *   *    *   * 1260   * |   0   0   0   0   0   0   1   0   0   0   0   1   0   0   1   0   1 |  0   0   0   1   0   0   1   0   1  0   1   0   1  1 | 0  1  0  1  1 1
. . . . o3x |    3 |    0    0    0    0    3 |   *   *    *    *   *    *    *   *    *   *    * 840 |   0   0   0   0   0   0   0   1   0   0   0   0   1   0   0   1   1 |  0   0   0   0   1   0   0   1   1  0   0   1   1  1 | 0  0  1  1  1 1
------------+------+--------------------------+-------------------------------------------------------+---------------------------------------------------------------------+------------------------------------------------------+----------------
x3x3x . . .    24 |   12   12   12    0    0 |   4   6    0    0   4    0    0   0    0   0    0   0 | 105   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  2   2   0   0   0   0   0   0   0  0   0   0   0  0 | 1  2  1  0  0 0
x3x . x . .    12 |    6    6    0    6    0 |   2   0    3    0   0    3    0   0    0   0    0   0 |   * 420   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  1   0   1   1   0   0   0   0   0  0   0   0   0  0 | 1  1  0  1  0 0
x3x . . . x    12 |    6    6    0    0    6 |   2   0    0    3   0    0    3   0    0   0    0   0 |   *   * 420   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  0   1   0   1   1   0   0   0   0  0   0   0   0  0 | 0  1  1  1  0 0
x . x3x . .    12 |    6    0    6    6    0 |   0   3    3    0   0    0    0   2    0   0    0   0 |   *   *   * 420   *   *   *   *   *   *   *   *   *   *   *   *   * |  1   0   0   0   0   1   1   0   0  0   0   0   0  0 | 1  1  0  0  1 0
x . x . . x     8 |    4    0    4    0    4 |   0   2    0    2   0    0    0   0    2   0    0   0 |   *   *   *   * 630   *   *   *   *   *   *   *   *   *   *   *   * |  0   1   0   0   0   0   1   1   0  0   0   0   0  0 | 0  1  1  0  1 0
x . . x3o .     6 |    3    0    0    6    0 |   0   0    3    0   0    0    0   0    0   2    0   0 |   *   *   *   *   * 420   *   *   *   *   *   *   *   *   *   *   * |  0   0   1   0   0   1   0   0   1  0   0   0   0  0 | 1  0  0  1  1 0
x . . x . x     8 |    4    0    0    4    4 |   0   0    2    2   0    0    0   0    0   0    2   0 |   *   *   *   *   *   * 630   *   *   *   *   *   *   *   *   *   * |  0   0   0   1   0   0   1   0   1  0   0   0   0  0 | 0  1  0  1  1 0
x . . . o3x     6 |    3    0    0    0    6 |   0   0    0    3   0    0    0   0    0   0    0   2 |   *   *   *   *   *   *   * 420   *   *   *   *   *   *   *   *   * |  0   0   0   0   1   0   0   1   1  0   0   0   0  0 | 0  0  1  1  1 0
. x3x3x . .    24 |    0   12   12   12    0 |   0   0    0    0   4    6    0   4    0   0    0   0 |   *   *   *   *   *   *   *   * 210   *   *   *   *   *   *   *   * |  1   0   0   0   0   0   0   0   0  1   1   0   0  0 | 1  1  0  0  0 1
. x3x . . x    12 |    0    6    6    0    6 |   0   0    0    0   2    0    3   0    3   0    0   0 |   *   *   *   *   *   *   *   *   * 420   *   *   *   *   *   *   * |  0   1   0   0   0   0   0   0   0  0   1   1   0  0 | 0  1  1  0  0 1
. x . x3o .     6 |    0    3    0    6    0 |   0   0    0    0   0    3    0   0    0   2    0   0 |   *   *   *   *   *   *   *   *   *   * 420   *   *   *   *   *   * |  0   0   1   0   0   0   0   0   0  1   0   0   1  0 | 1  0  0  1  0 1
. x . x . x     8 |    0    4    0    4    4 |   0   0    0    0   0    2    2   0    0   0    2   0 |   *   *   *   *   *   *   *   *   *   *   * 630   *   *   *   *   * |  0   0   0   1   0   0   0   0   0  0   1   0   1  0 | 0  1  0  1  0 1
. x . . o3x     6 |    0    3    0    0    6 |   0   0    0    0   0    0    3   0    0   0    0   2 |   *   *   *   *   *   *   *   *   *   *   *   * 420   *   *   *   * |  0   0   0   0   1   0   0   0   0  0   0   1   1  0 | 0  0  1  1  0 1
. . x3x3o .    12 |    0    0    6   12    0 |   0   0    0    0   0    0    0   4    0   4    0   0 |   *   *   *   *   *   *   *   *   *   *   *   *   * 210   *   *   * |  0   0   0   0   0   1   0   0   0  1   0   0   0  1 | 1  0  0  0  1 1
. . x3x . x    12 |    0    0    6    6    6 |   0   0    0    0   0    0    0   2    3   0    3   0 |   *   *   *   *   *   *   *   *   *   *   *   *   *   * 420   *   * |  0   0   0   0   0   0   1   0   0  0   1   0   0  1 | 0  1  0  0  1 1
. . x . o3x     6 |    0    0    3    0    6 |   0   0    0    0   0    0    0   0    3   0    0   2 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 420   * |  0   0   0   0   0   0   0   1   0  0   0   1   0  1 | 0  0  1  0  1 1
. . . x3o3x    12 |    0    0    0   12   12 |   0   0    0    0   0    0    0   0    0   4    6   4 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 210 |  0   0   0   0   0   0   0   0   1  0   0   0   1  1 | 0  0  0  1  1 1
------------+------+--------------------------+-------------------------------------------------------+---------------------------------------------------------------------+------------------------------------------------------+----------------
x3x3x3x . .   120 |   60   60   60   60    0 |  20  30   30    0  20   30    0  20    0   0    0   0 |   5  10   0  10   0   0   0   0   5   0   0   0   0   0   0   0   0 | 42   *   *   *   *   *   *   *   *  *   *   *   *  * | 1  1  0  0  0 0
x3x3x . . x    48 |   24   24   24    0   24 |   8  12    0   12   8    0   12   0   12   0    0   0 |   2   0   4   0   6   0   0   0   0   4   0   0   0   0   0   0   0 |  * 105   *   *   *   *   *   *   *  *   *   *   *  * | 0  1  1  0  0 0
x3x . x3o .    18 |    9    9    0   18    0 |   3   0    9    0   0    9    0   0    0   6    0   0 |   0   3   0   0   0   3   0   0   0   0   3   0   0   0   0   0   0 |  *   * 140   *   *   *   *   *   *  *   *   *   *  * | 1  0  0  1  0 0
x3x . x . x    24 |   12   12    0   12   12 |   4   0    6    6   0    6    6   0    0   0    6   0 |   0   2   2   0   0   0   3   0   0   0   0   3   0   0   0   0   0 |  *   *   * 210   *   *   *   *   *  *   *   *   *  * | 0  1  0  1  0 0
x3x . . o3x    18 |    9    9    0    0   18 |   3   0    0    9   0    0    9   0    0   0    0   6 |   0   0   3   0   0   0   0   3   0   0   0   0   3   0   0   0   0 |  *   *   *   * 140   *   *   *   *  *   *   *   *  * | 0  0  1  1  0 0
x . x3x3o .    24 |   12    0   12   24    0 |   0   6   12    0   0    0    0   8    0   8    0   0 |   0   0   0   4   0   4   0   0   0   0   0   0   0   2   0   0   0 |  *   *   *   *   * 105   *   *   *  *   *   *   *  * | 1  0  0  0  1 0
x . x3x . x    24 |   12    0   12   12   12 |   0   6    6    6   0    0    0   4    6   0    6   0 |   0   0   0   2   3   0   3   0   0   0   0   0   0   0   2   0   0 |  *   *   *   *   *   * 210   *   *  *   *   *   *  * | 0  1  0  0  1 0
x . x . o3x    12 |    6    0    6    0   12 |   0   3    0    6   0    0    0   0    6   0    0   4 |   0   0   0   0   3   0   0   2   0   0   0   0   0   0   0   2   0 |  *   *   *   *   *   *   * 210   *  *   *   *   *  * | 0  0  1  0  1 0
x . . x3o3x    24 |   12    0    0   24   24 |   0   0   12   12   0    0    0   0    0   8   12   8 |   0   0   0   0   0   4   6   4   0   0   0   0   0   0   0   0   2 |  *   *   *   *   *   *   *   * 105  *   *   *   *  * | 0  0  0  1  1 0
. x3x3x3o .    60 |    0   30   30   60    0 |   0   0    0    0  10   30    0  20    0  20    0   0 |   0   0   0   0   0   0   0   0   5   0  10   0   0   5   0   0   0 |  *   *   *   *   *   *   *   *   * 42   *   *   *  * | 1  0  0  0  0 1
. x3x3x . x    48 |    0   24   24   24   24 |   0   0    0    0   8   12   12   8   12   0   12   0 |   0   0   0   0   0   0   0   0   2   4   0   6   0   0   4   0   0 |  *   *   *   *   *   *   *   *   *  * 105   *   *  * | 0  1  0  0  0 1
. x3x . o3x    18 |    0    9    9    0   18 |   0   0    0    0   3    0    9   0    9   0    0   6 |   0   0   0   0   0   0   0   0   0   3   0   0   3   0   0   3   0 |  *   *   *   *   *   *   *   *   *  *   * 140   *  * | 0  0  1  0  0 1
. x . x3o3x    24 |    0   12    0   24   24 |   0   0    0    0   0   12   12   0    0   8   12   8 |   0   0   0   0   0   0   0   0   0   0   4   6   4   0   0   0   2 |  *   *   *   *   *   *   *   *   *  *   *   * 105  * | 0  0  0  1  0 1
. . x3x3o3x    60 |    0    0   30   60   60 |   0   0    0    0   0    0    0  20   30  20   30  20 |   0   0   0   0   0   0   0   0   0   0   0   0   0   5  10  10   5 |  *   *   *   *   *   *   *   *   *  *   *   *   * 42 | 0  0  0  0  1 1
------------+------+--------------------------+-------------------------------------------------------+---------------------------------------------------------------------+------------------------------------------------------+----------------
x3x3x3x3o .   360 |  180  180  180  360    0 |  60  90  180    0  60  180    0 120    0 120    0   0 |  15  60   0  60   0  60   0   0  30   0  60   0   0  30   0   0   0 |  6   0  20   0   0  15   0   0   0  6   0   0   0  0 | 7  *  *  *  * *
x3x3x3x . x   240 |  120  120  120  120  120 |  40  60   60   60  40   60   60  40   60   0   60   0 |  10  20  20  20  30   0  30   0  10  20   0  30   0   0  20   0   0 |  2   5   0  10   0   0  10   0   0  0   5   0   0  0 | * 21  *  *  * *
x3x3x . o3x    72 |   36   36   36    0   72 |  12  18    0   36  12    0   36   0   36   0    0  24 |   3   0  12   0  18   0   0  12   0  12   0   0  12   0   0  12   0 |  0   3   0   0   4   0   0   6   0  0   0   4   0  0 | *  * 35  *  * *
x3x . x3o3x    72 |   36   36    0   72   72 |  12   0   36   36   0   36   36   0    0  24   36  24 |   0  12  12   0   0  12  18  12   0   0  12  18  12   0   0   0   6 |  0   0   4   6   4   0   0   0   3  0   0   0   3  0 | *  *  * 35  * *
x . x3x3o3x   120 |   60    0   60  120  120 |   0  30   60   60   0    0    0  40   60  40   60  40 |   0   0   0  20  30  20  30  20   0   0   0   0   0  10  20  20  10 |  0   0   0   0   0   5  10  10   5  0   0   0   0  2 | *  *  *  * 21 *
. x3x3x3o3x   360 |    0  180  180  360  360 |   0   0    0    0  60  180  180 120  180 120  180 120 |   0   0   0   0   0   0   0   0  30  60  60  90  60  30  60  60  30 |  0   0   0   0   0   0   0   0   0  6  15  20  15  6 | *  *  *  *  * 7

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