Acronym tacogral (old: gatocral)
Name tericelligreatorhombated heptapeton,
pentistericantitruncated heptapeton
Circumradius sqrt(62/7) = 2.976095
External
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Incidence matrix according to Dynkin symbol

x3x3x3o3x3x

. . . . . . | 2520 |    1    1    2    2    1 |   1    2    2   1   2    2   1   1    2    2   1   2 |   2   2   1   1   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
------------+------+--------------------------+------------------------------------------------------+---------------------------------------------------------------------+------------------------------------------------------+----------------
x . . . . . |    2 | 1260    *    *    *    * |   1    2    2   1   0    0   0   0    0    0   0   0 |   2   2   1   1   2   2   1   2   0   0   0   0   0   0   0   0   0 |  1   2   2   1   2   1   1   2   1  0   0   0   0  0 | 1  1  2  1  1 0
. x . . . . |    2 |    * 1260    *    *    * |   1    0    0   0   2    2   1   0    0    0   0   0 |   2   2   1   0   0   0   0   0   1   2   2   1   2   0   0   0   0 |  1   2   2   1   2   0   0   0   0  1   1   2   1  0 | 1  1  2  1  0 1
. . x . . . |    2 |    *    * 2520    *    * |   0    1    0   0   1    0   0   1    1    1   0   0 |   1   0   0   1   1   1   0   0   1   1   1   0   0   1   1   1   0 |  1   1   1   0   0   1   1   1   0  1   1   1   0  1 | 1  1  1  0  1 1
. . . . x . |    2 |    *    *    * 2520    * |   0    0    1   0   0    1   0   0    1    0   1   1 |   0   1   0   0   1   0   1   1   0   1   0   1   1   1   0   1   1 |  0   1   0   1   1   1   0   1   1  1   0   1   1  1 | 1  0  1  1  1 1
. . . . . x |    2 |    *    *    *    * 1260 |   0    0    0   1   0    0   1   0    0    2   0   2 |   0   0   1   0   0   2   0   2   0   0   2   0   2   0   1   2   1 |  0   0   2   0   2   0   1   2   1  0   1   2   1  1 | 0  1  2  1  1 1
------------+------+--------------------------+------------------------------------------------------+---------------------------------------------------------------------+------------------------------------------------------+----------------
x3x . . . . |    6 |    3    3    0    0    0 | 420    *    *   *   *    *   *   *    *    *   *   * |   2   2   1   0   0   0   0   0   0   0   0   0   0   0   0   0   0 |  1   2   2   1   2   0   0   0   0  0   0   0   0  0 | 1  1  2  1  0 0
x . x . . . |    4 |    2    0    2    0    0 |   * 1260    *   *   *    *   *   *    *    *   *   * |   1   0   0   1   1   1   0   0   0   0   0   0   0   0   0   0   0 |  1   1   1   0   0   1   1   1   0  0   0   0   0  0 | 1  1  1  0  1 0
x . . . x . |    4 |    2    0    0    2    0 |   *    * 1260   *   *    *   *   *    *    *   *   * |   0   1   0   0   1   0   1   1   0   0   0   0   0   0   0   0   0 |  0   1   0   1   1   1   0   1   1  0   0   0   0  0 | 1  0  1  1  1 0
x . . . . x |    4 |    2    0    0    0    2 |   *    *    * 630   *    *   *   *    *    *   *   * |   0   0   1   0   0   2   0   2   0   0   0   0   0   0   0   0   0 |  0   0   2   0   2   0   1   2   1  0   0   0   0  0 | 0  1  2  1  1 0
. x3x . . . |    6 |    0    3    3    0    0 |   *    *    *   * 840    *   *   *    *    *   *   * |   1   0   0   0   0   0   0   0   1   1   1   0   0   0   0   0   0 |  1   1   1   0   0   0   0   0   0  1   1   1   0  0 | 1  1  1  0  0 1
. x . . x . |    4 |    0    2    0    2    0 |   *    *    *   *   * 1260   *   *    *    *   *   * |   0   1   0   0   0   0   0   0   0   1   0   1   1   0   0   0   0 |  0   1   0   1   1   0   0   0   0  1   0   1   1  0 | 1  0  1  1  0 1
. x . . . x |    4 |    0    2    0    0    2 |   *    *    *   *   *    * 630   *    *    *   *   * |   0   0   1   0   0   0   0   0   0   0   2   0   2   0   0   0   0 |  0   0   2   0   2   0   0   0   0  0   1   2   1  0 | 0  1  2  1  0 1
. . x3o . . |    3 |    0    0    3    0    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    2    0 |   *    *    *   *   *    *   *   * 1260    *   *   * |   0   0   0   0   1   0   0   0   0   1   0   0   0   1   0   1   0 |  0   1   0   0   0   1   0   1   0  1   0   1   0  1 | 1  0  1  0  1 1
. . x . . x |    4 |    0    0    2    0    2 |   *    *    *   *   *    *   *   *    * 1260   *   * |   0   0   0   0   0   1   0   0   0   0   1   0   0   0   1   1   0 |  0   0   1   0   0   0   1   1   0  0   1   1   0  1 | 0  1  1  0  1 1
. . . o3x . |    3 |    0    0    0    3    0 |   *    *    *   *   *    *   *   *    *    * 840   * |   0   0   0   0   0   0   1   0   0   0   0   1   0   1   0   0   1 |  0   0   0   1   0   1   0   0   1  1   0   0   1  1 | 1  0  0  1  1 1
. . . . x3x |    6 |    0    0    0    3    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 | 210   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  1   1   1   0   0   0   0   0   0  0   0   0   0  0 | 1  1  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   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  0   1   0   1   1   0   0   0   0  0   0   0   0  0 | 1  0  1  1  0 0
x3x . . . x    12 |    6    6    0    0    6 |   2    0    0   3   0    0   3   0    0    0   0   0 |   *   * 210   *   *   *   *   *   *   *   *   *   *   *   *   *   * |  0   0   2   0   2   0   0   0   0  0   0   0   0  0 | 0  1  2  1  0 0
x . x3o . .     6 |    3    0    6    0    0 |   0    3    0   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    4    0 |   0    2    2   0   0    0   0   0    2    0   0   0 |   *   *   *   * 630   *   *   *   *   *   *   *   *   *   *   *   * |  0   1   0   0   0   1   0   1   0  0   0   0   0  0 | 1  0  1  0  1 0
x . x . . x     8 |    4    0    4    0    4 |   0    2    0   2   0    0   0   0    0    2   0   0 |   *   *   *   *   * 630   *   *   *   *   *   *   *   *   *   *   * |  0   0   1   0   0   0   1   1   0  0   0   0   0  0 | 0  1  1  0  1 0
x . . o3x .     6 |    3    0    0    6    0 |   0    0    3   0   0    0   0   0    0    0   2   0 |   *   *   *   *   *   * 420   *   *   *   *   *   *   *   *   *   * |  0   0   0   1   0   1   0   0   1  0   0   0   0  0 | 1  0  0  1  1 0
x . . . x3x    12 |    6    0    0    6    6 |   0    0    3   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
. x3x3o . .    12 |    0    6   12    0    0 |   0    0    0   0   4    0   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    6    0 |   0    0    0   0   2    3   0   0    3    0   0   0 |   *   *   *   *   *   *   *   *   * 420   *   *   *   *   *   *   * |  0   1   0   0   0   0   0   0   0  1   0   1   0  0 | 1  0  1  0  0 1
. x3x . . x    12 |    0    6    6    0    6 |   0    0    0   0   2    0   3   0    0    3   0   0 |   *   *   *   *   *   *   *   *   *   * 420   *   *   *   *   *   * |  0   0   1   0   0   0   0   0   0  0   1   1   0  0 | 0  1  1  0  0 1
. x . o3x .     6 |    0    3    0    6    0 |   0    0    0   0   0    3   0   0    0    0   2   0 |   *   *   *   *   *   *   *   *   *   *   * 420   *   *   *   *   * |  0   0   0   1   0   0   0   0   0  1   0   0   1  0 | 1  0  0  1  0 1
. x . . x3x    12 |    0    6    0    6    6 |   0    0    0   0   0    3   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
. . x3o3x .    12 |    0    0   12   12    0 |   0    0    0   0   0    0   0   4    6    0   4   0 |   *   *   *   *   *   *   *   *   *   *   *   *   * 210   *   *   * |  0   0   0   0   0   1   0   0   0  1   0   0   0  1 | 1  0  0  0  1 1
. . x3o . x     6 |    0    0    6    0    3 |   0    0    0   0   0    0   0   2    0    3   0   0 |   *   *   *   *   *   *   *   *   *   *   *   *   *   * 420   *   * |  0   0   0   0   0   0   1   0   0  0   1   0   0  1 | 0  1  0  0  1 1
. . x . x3x    12 |    0    0    6    6    6 |   0    0    0   0   0    0   0   0    3    3   0   2 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 420   * |  0   0   0   0   0   0   0   1   0  0   0   1   0  1 | 0  0  1  0  1 1
. . . o3x3x    12 |    0    0    0   12    6 |   0    0    0   0   0    0   0   0    0    0   4   4 |   *   *   *   *   *   *   *   *   *   *   *   *   *   *   *   * 210 |  0   0   0   0   0   0   0   0   1  0   0   0   1  1 | 0  0  0  1  1 1
------------+------+--------------------------+------------------------------------------------------+---------------------------------------------------------------------+------------------------------------------------------+----------------
x3x3x3o . .    60 |   30   30   60    0    0 |  10   30    0   0  20    0   0  20    0    0   0   0 |   5   0   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   24    0 |   8   12   12   0   8   12   0   0   12    0   0   0 |   2   4   0   0   6   0   0   0   0   4   0   0   0   0   0   0   0 |  * 105   *   *   *   *   *   *   *  *   *   *   *  * | 1  0  1  0  0 0
x3x3x . . x    48 |   24   24   24    0   24 |   8   12    0  12   8    0  12   0    0   12   0   0 |   2   0   4   0   0   6   0   0   0   0   4   0   0   0   0   0   0 |  *   * 105   *   *   *   *   *   *  *   *   *   *  * | 0  1  1  0  0 0
x3x . o3x .    18 |    9    9    0   18    0 |   3    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   0 |  *   *   * 140   *   *   *   *   *  *   *   *   *  * | 1  0  0  1  0 0
x3x . . x3x    36 |   18   18    0   18   18 |   6    0    9   9   0    9   9   0    0    0   0   6 |   0   3   3   0   0   0   0   3   0   0   0   0   3   0   0   0   0 |  *   *   *   * 140   *   *   *   *  *   *   *   *  * | 0  0  1  1  0 0
x . x3o3x .    24 |   12    0   24   24    0 |   0   12   12   0   0    0   0   8   12    0   8   0 |   0   0   0   4   6   0   4   0   0   0   0   0   0   2   0   0   0 |  *   *   *   *   * 105   *   *   *  *   *   *   *  * | 1  0  0  0  1 0
x . x3o . x    12 |    6    0   12    0    6 |   0    6    0   3   0    0   0   4    0    6   0   0 |   0   0   0   2   0   3   0   0   0   0   0   0   0   0   2   0   0 |  *   *   *   *   *   * 210   *   *  *   *   *   *  * | 0  1  0  0  1 0
x . x . x3x    24 |   12    0   12   12   12 |   0    6    6   6   0    0   0   0    6    6   0   4 |   0   0   0   0   3   3   0   2   0   0   0   0   0   0   0   2   0 |  *   *   *   *   *   *   * 210   *  *   *   *   *  * | 0  0  1  0  1 0
x . . o3x3x    24 |   12    0    0   24   12 |   0    0   12   6   0    0   0   0    0    0   8   8 |   0   0   0   0   0   0   4   4   0   0   0   0   0   0   0   0   2 |  *   *   *   *   *   *   *   * 105  *   *   *   *  * | 0  0  0  1  1 0
. x3x3o3x .    60 |    0   30   60   60    0 |   0    0    0   0  20   30   0  20   30    0  20   0 |   0   0   0   0   0   0   0   0   5  10   0  10   0   5   0   0   0 |  *   *   *   *   *   *   *   *   * 42   *   *   *  * | 1  0  0  0  0 1
. x3x3o . x    24 |    0   12   24    0   12 |   0    0    0   0   8    0   6   8    0   12   0   0 |   0   0   0   0   0   0   0   0   2   0   4   0   0   0   4   0   0 |  *   *   *   *   *   *   *   *   *  * 105   *   *  * | 0  1  0  0  0 1
. x3x . x3x    36 |    0   18   18   18   18 |   0    0    0   0   6    9   9   0    9    9   0   6 |   0   0   0   0   0   0   0   0   0   3   3   0   3   0   0   3   0 |  *   *   *   *   *   *   *   *   *  *   * 140   *  * | 0  0  1  0  0 1
. x . o3x3x    24 |    0   12    0   24   12 |   0    0    0   0   0   12   6   0    0    0   8   8 |   0   0   0   0   0   0   0   0   0   0   0   4   4   0   0   0   2 |  *   *   *   *   *   *   *   *   *  *   *   * 105  * | 0  0  0  1  0 1
. . x3o3x3x    60 |    0    0   60   60   30 |   0    0    0   0   0    0   0  20   30   30  20  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
------------+------+--------------------------+------------------------------------------------------+---------------------------------------------------------------------+------------------------------------------------------+----------------
x3x3x3o3x .   360 |  180  180  360  360    0 |  60  180  180   0 120  180   0 120  180    0 120   0 |  30  60   0  60  90   0  60   0  30  60   0  60   0  30   0   0   0 |  6  15   0  20   0  15   0   0   0  6   0   0   0  0 | 7  *  *  *  * *
x3x3x3o . x   120 |   60   60  120    0   60 |  20   60    0  30  40    0  30  40    0   60   0   0 |  10   0  10  20   0  30   0   0  10   0  20   0   0   0  20   0   0 |  2   0   5   0   0   0  10   0   0  0   5   0   0  0 | * 21  *  *  * *
x3x3x . x3x   144 |   72   72   72   72   72 |  24   36   36  36  24   36  36   0   36   36   0  24 |   6  12  12   0  18  18   0  12   0  12  12   0  12   0   0  12   0 |  0   3   3   0   4   0   0   6   0  0   0   4   0  0 | *  * 35  *  * *
x3x . o3x3x    72 |   36   36    0   72   36 |  12    0   36  18   0   36  18   0    0    0  24  24 |   0  12   6   0   0   0  12  12   0   0   0  12  12   0   0   0   6 |  0   0   0   4   4   0   0   0   3  0   0   0   3  0 | *  *  * 35  * *
x . x3o3x3x   120 |   60    0  120  120   60 |   0   60   60  30   0    0   0  40   60   60  40  40 |   0   0   0  20  30  30  20  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 *
. x3x3o3x3x   360 |    0  180  360  360  180 |   0    0    0   0 120  180  90 120  180  180 120 120 |   0   0   0   0   0   0   0   0  30  60  60  60  60  30  60  60  30 |  0   0   0   0   0   0   0   0   0  6  15  20  15  6 | *  *  *  *  * 7

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