Acronym nitip
Name penteractitriacontiditeron prism
Circumradius sqrt(7)/2 = 1.322876
Coordinates (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0, 1/2)   & all permutations in all but last coord., all changes of sign

Incidence matrix according to Dynkin symbol

x o3o3x3o4o

. . . . . . | 160 |  1  12 |  12  12  12 |  12  12   4  12  3 |  4  12  3  4  3 |  4  3 1
------------+-----+--------+-------------+--------------------+-----------------+--------
x . . . . . |   2 | 80   *   12   0   0 |  12  12   0   0  0 |  4  12  3  0  0 |  4  3 0
. . . x . . |   2 |  * 960 |   1   2   2 |   2   2   1   4  1 |  1   4  1  2  2 |  2  2 1
------------+-----+--------+-------------+--------------------+-----------------+--------
x . . x . . |   4 |  2   2 | 480   *   * |   2   2   0   0  0 |  1   4  1  0  0 |  2  2 0
. . o3x . . |   3 |  0   3 |   * 640   * |   1   0   1   2  0 |  1   2  0  2  1 |  2  1 1
. . . x3o . |   3 |  0   3 |   *   * 640 |   0   1   0   2  1 |  0   2  1  1  2 |  1  2 1
------------+-----+--------+-------------+--------------------+-----------------+--------
x . o3x . .    6 |  3   6 |   3   2   0 | 320   *   *   *  * |  1   2  0  0  0 |  2  1 0
x . . x3o .    6 |  3   6 |   3   0   2 |   * 320   *   *  * |  0   2  1  0  0 |  1  2 0
. o3o3x . .    4 |  0   6 |   0   4   0 |   *   * 160   *  * |  1   0  0  2  1 |  2  0 1
. . o3x3o .    6 |  0  12 |   0   4   4 |   *   *   * 320  * |  0   1  0  1  1 |  1  1 1
. . . x3o4o    6 |  0  12 |   0   0   8 |   *   *   *   * 80 |  0   0  1  0  2 |  0  2 1
------------+-----+--------+-------------+--------------------+-----------------+--------
x o3o3x . .    8 |  4  12 |   6   8   0 |   4   0   2   0  0 | 80   *  *  *  * |  2  0 0
x . o3x3o .   12 |  6  24 |  12   8   8 |   4   4   0   2  0 |  * 160  *  *  * |  1  1 0
x . . x3o4o   12 |  6  24 |  12   0  16 |   0   8   0   0  2 |  *   * 40  *  * |  0  2 0
. o3o3x3o .   10 |  0  30 |   0  20  10 |   0   0   5   5  0 |  *   *  * 64  * |  1  0 1
. . o3x3o4o   24 |  0  96 |   0  32  64 |   0   0   0  16  8 |  *   *  *  * 20 |  0  1 1
------------+-----+--------+-------------+--------------------+-----------------+--------
x o3o3x3o .   20 | 10  60 |  30  40  20 |  20  10  10  10  0 |  5   5  0  2  0 | 32  * *
x . o3x3o4o   48 | 24 192 |  96  64 128 |  32  64   0  32 16 |  0  16  8  0  2 |  * 10 *
. o3o3x3o4o   80 |  0 480 |   0 320 320 |   0   0  80 160 40 |  0   0  0 32 10 |  *  * 2

x o3x3o *c3o3o

. . . .    . . | 160 |  1  12 |  12   6   6  12 |   6   6  12  3   6   6   4 |  3  6  6  4  3  2  2 |  3  2  2 1
---------------+-----+--------+-----------------+----------------------------+----------------------+-----------
x . . .    . . |   2 | 80   *   12   0   0   0 |   6   6  12  0   0   0   0 |  3  6  6  4  0  0  0 |  3  2  2 0
. . x .    . . |   2 |  * 960 |   1   1   1   2 |   1   1   2  1   2   2   1 |  1  2  2  1  2  1  1 |  2  1  1 1
---------------+-----+--------+-----------------+----------------------------+----------------------+-----------
x . x .    . . |   4 |  2   2 | 480   *   *   * |   1   1   2  0   0   0   0 |  1  2  2  1  0  0  0 |  2  1  1 0
. o3x .    . . |   3 |  0   3 |   * 320   *   * |   1   0   0  1   2   0   0 |  1  2  0  0  2  1  0 |  2  1  0 1
. . x3o    . . |   3 |  0   3 |   *   * 320   * |   0   1   0  1   0   2   0 |  1  0  2  0  2  0  1 |  2  0  1 1
. . x . *c3o . |   3 |  0   3 |   *   *   * 640 |   0   0   1  0   1   1   1 |  0  1  1  1  1  1  1 |  1  1  1 1
---------------+-----+--------+-----------------+----------------------------+----------------------+-----------
x o3x .    . .    6 |  3   6 |   3   2   0   0 | 160   *   *  *   *   *   * |  1  2  0  0  0  0  0 |  2  1  0 0
x . x3o    . .    6 |  3   6 |   3   0   2   0 |   * 160   *  *   *   *   * |  1  0  2  0  0  0  0 |  2  0  1 0
x . x . *c3o .    6 |  3   6 |   3   0   0   2 |   *   * 320  *   *   *   * |  0  1  1  1  0  0  0 |  1  1  1 0
. o3x3o    . .    6 |  0  12 |   0   4   4   0 |   *   *   * 80   *   *   * |  1  0  0  0  2  0  0 |  2  0  0 1
. o3x . *c3o .    6 |  0  12 |   0   4   0   4 |   *   *   *  * 160   *   * |  0  1  0  0  1  1  0 |  1  1  0 1
. . x3o *c3o .    6 |  0  12 |   0   0   4   4 |   *   *   *  *   * 160   * |  0  0  1  0  1  0  1 |  1  0  1 1
. . x . *c3o3o    4 |  0   6 |   0   0   0   4 |   *   *   *  *   *   * 160 |  0  0  0  1  0  1  1 |  0  1  1 1
---------------+-----+--------+-----------------+----------------------------+----------------------+-----------
x o3x3o    . .   12 |  6  24 |  12   8   8   0 |   4   4   0  2   0   0   0 | 40  *  *  *  *  *  * |  2  0  0 0
x o3x . *c3o .   12 |  6  24 |  12   8   0   8 |   4   0   4  0   2   0   0 |  * 80  *  *  *  *  * |  1  1  0 0
x . x3o *c3o .   12 |  6  24 |  12   0   8   8 |   0   4   4  0   0   2   0 |  *  * 80  *  *  *  * |  1  0  1 0
x . x . *c3o3o    8 |  4  12 |   6   0   0   8 |   0   0   4  0   0   0   2 |  *  *  * 80  *  *  * |  0  1  1 0
. o3x3o *c3o .   24 |  0  96 |   0  32  32  32 |   0   0   0  8   8   8   0 |  *  *  *  * 20  *  * |  1  0  0 1
. o3x . *c3o3o   10 |  0  30 |   0  10   0  20 |   0   0   0  0   5   0   5 |  *  *  *  *  * 32  * |  0  1  0 1
. . x3o *c3o3o   10 |  0  30 |   0   0  10  20 |   0   0   0  0   0   5   5 |  *  *  *  *  *  * 32 |  0  0  1 1
---------------+-----+--------+-----------------+----------------------------+----------------------+-----------
x o3x3o *c3o .   48 | 24 192 |  96  64  64  64 |  32  32  32 16  16  16   0 |  8  8  8  0  2  0  0 | 10  *  * *
x o3x . *c3o3o   20 | 10  60 |  30  20   0  40 |  10   0  20  0  10   0  10 |  0  5  0  5  0  2  0 |  * 16  * *
x . x3o *c3o3o   20 | 10  60 |  30   0  20  40 |   0  10  20  0   0  10  10 |  0  0  5  5  0  0  2 |  *  * 16 *
. o3x3o *c3o3o   80 |  0 480 |   0 160 160 320 |   0   0   0 40  80  80  80 |  0  0  0  0 10 16 16 |  *  *  * 2

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