Acronym | tet-gybef |
Name |
tet-gyrobifastegium, tet atop tetdip atop perpendicular tet |
Circumradius | ... |
Face vector | 24, 92, 172, 194, 140, 64 16 |
Confer |
|
Just as the 3D gyrobifastegium just was the bistratic lace tower, obtained as external blend of 2 square-adjoined trips (then in the sense of line || pseudo square || perp line), this 7D tet-gyrobifastegium likewise is the bistratic adjoin of 2 (tet, pen)-duoprisms, thereby blending out the common tetdipic base.
Incidence matrix according to Dynkin symbol
xxo3ooo3ooo oxx3ooo3ooo&#xt → both heigths = sqrt(5/8) = 0.790569 (tet || pseudo tetdip || perp tet) o..3o..3o.. o..3o..3o.. | 4 * * | 3 4 0 0 0 0 | 3 12 6 0 0 0 0 0 0 | 1 12 18 4 0 0 0 0 0 0 0 0 | 4 18 12 1 0 0 0 0 0 0 0 | 6 12 3 0 0 0 0 0 | 4 3 0 0 .o.3.o.3.o. .o.3.o.3.o. | * 16 * | 0 1 3 3 1 0 | 0 3 3 3 9 3 3 3 0 | 0 3 9 3 1 9 9 1 3 9 3 0 | 1 9 9 1 3 9 3 1 9 9 1 | 3 9 3 3 3 3 9 3 | 3 3 3 3 ..o3..o3..o ..o3..o3..o | * * 4 | 0 0 0 0 4 3 | 0 0 0 0 0 0 6 12 3 | 0 0 0 0 0 0 0 0 4 18 12 1 | 0 0 0 0 0 0 0 1 12 18 4 | 0 0 0 0 0 3 12 6 | 0 0 3 4 ---------------------------+--------+-----------------+--------------------------+---------------------------------+----------------------------+-------------------+-------- x.. ... ... ... ... ... | 2 0 0 | 6 * * * * * | 2 4 0 0 0 0 0 0 0 | 1 8 6 0 0 0 0 0 0 0 0 0 | 4 12 4 0 0 0 0 0 0 0 0 | 6 8 1 0 0 0 0 0 | 4 2 0 0 oo.3oo.3oo. oo.3oo.3oo.&#x | 1 1 0 | * 16 * * * * | 0 3 3 0 0 0 0 0 0 | 0 3 9 3 0 0 0 0 0 0 0 0 | 1 9 9 1 0 0 0 0 0 0 0 | 3 9 3 0 0 0 0 0 | 3 3 0 0 .x. ... ... ... ... ... | 0 2 0 | * * 24 * * * | 0 1 0 2 3 0 1 0 0 | 0 2 3 0 1 6 3 0 2 3 0 0 | 1 6 3 0 3 6 1 1 6 3 0 | 3 6 1 3 2 3 6 1 | 3 2 3 2 ... ... ... .x. ... ... | 0 2 0 | * * * 24 * * | 0 0 1 0 3 2 0 1 0 | 0 0 3 2 0 3 6 1 0 3 2 0 | 0 3 6 1 1 6 3 0 3 6 1 | 1 6 3 2 3 1 6 3 | 2 3 2 3 .oo3.oo3.oo .oo3.oo3.oo&#x | 0 1 1 | * * * * 16 * | 0 0 0 0 0 0 3 3 0 | 0 0 0 0 0 0 0 0 3 9 3 0 | 0 0 0 0 0 0 0 1 9 9 1 | 0 0 0 0 0 3 9 3 | 0 0 3 3 ... ... ... ..x ... ... | 0 0 2 | * * * * * 6 | 0 0 0 0 0 0 0 4 2 | 0 0 0 0 0 0 0 0 0 6 8 1 | 0 0 0 0 0 0 0 0 4 12 4 | 0 0 0 0 0 1 8 6 | 0 0 2 4 ---------------------------+--------+-----------------+--------------------------+---------------------------------+----------------------------+-------------------+-------- x..3o.. ... ... ... ... | 3 0 0 | 3 0 0 0 0 0 | 4 * * * * * * * * | 1 4 0 0 0 0 0 0 0 0 0 0 | 4 6 0 0 0 0 0 0 0 0 0 | 6 4 0 0 0 0 0 0 | 4 1 0 0 xx. ... ... ... ... ...&#x | 2 2 0 | 1 2 1 0 0 0 | * 24 * * * * * * * | 0 2 3 0 0 0 0 0 0 0 0 0 | 1 6 3 0 0 0 0 0 0 0 0 | 3 6 1 0 0 0 0 0 | 3 2 0 0 ... ... ... ox. ... ...&#x | 1 2 0 | 0 2 0 1 0 0 | * * 24 * * * * * * | 0 0 3 2 0 0 0 0 0 0 0 0 | 0 3 6 1 0 0 0 0 0 0 0 | 1 6 3 0 0 0 0 0 | 2 3 0 0 .x.3.o. ... ... ... ... | 0 3 0 | 0 0 3 0 0 0 | * * * 16 * * * * * | 0 1 0 0 1 3 0 0 1 0 0 0 | 1 3 0 0 3 3 0 1 3 0 0 | 3 3 0 3 1 3 3 0 | 3 1 3 1 .x. ... ... .x. ... ... | 0 4 0 | 0 0 2 2 0 0 | * * * * 36 * * * * | 0 0 1 0 0 2 2 0 0 1 0 0 | 0 2 2 0 1 4 1 0 2 2 0 | 1 4 1 2 2 1 4 1 | 2 2 2 2 ... ... ... .x.3.o. ... | 0 3 0 | 0 0 0 3 0 0 | * * * * * 16 * * * | 0 0 0 1 0 0 3 1 0 0 1 0 | 0 0 3 1 0 3 3 0 0 3 1 | 0 3 3 1 3 0 3 3 | 1 3 1 3 .xo ... ... ... ... ...&#x | 0 2 1 | 0 0 1 0 2 0 | * * * * * * 24 * * | 0 0 0 0 0 0 0 0 2 3 0 0 | 0 0 0 0 0 0 0 1 6 3 0 | 0 0 0 0 0 3 6 1 | 0 0 3 2 ... ... ... .xx ... ...&#x | 0 2 2 | 0 0 0 1 2 1 | * * * * * * * 24 * | 0 0 0 0 0 0 0 0 0 3 2 0 | 0 0 0 0 0 0 0 0 3 6 1 | 0 0 0 0 0 1 6 3 | 0 0 2 3 ... ... ... ..x3..o ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * 4 | 0 0 0 0 0 0 0 0 0 0 4 1 | 0 0 0 0 0 0 0 0 0 6 4 | 0 0 0 0 0 0 4 6 | 0 0 1 4 ---------------------------+--------+-----------------+--------------------------+---------------------------------+----------------------------+-------------------+-------- x..3o..3o.. ... ... ... ♦ 4 0 0 | 6 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * ♦ 4 0 0 0 0 0 0 0 0 0 0 | 6 0 0 0 0 0 0 0 | 4 0 0 0 xx.3oo. ... ... ... ...&#x ♦ 3 3 0 | 3 3 3 0 0 0 | 1 3 0 1 0 0 0 0 0 | * 16 * * * * * * * * * * | 1 3 0 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 | 3 1 0 0 xx. ... ... ox. ... ...&#x ♦ 2 4 0 | 1 4 2 2 0 0 | 0 2 2 0 1 0 0 0 0 | * * 36 * * * * * * * * * | 0 2 2 0 0 0 0 0 0 0 0 | 1 4 1 0 0 0 0 0 | 2 2 0 0 ... ... ... ox.3oo. ...&#x ♦ 1 3 0 | 0 3 0 3 0 0 | 0 0 3 0 0 1 0 0 0 | * * * 16 * * * * * * * * | 0 0 3 1 0 0 0 0 0 0 0 | 0 3 3 0 0 0 0 0 | 1 3 0 0 .x.3.o.3.o. ... ... ... ♦ 0 4 0 | 0 0 6 0 0 0 | 0 0 0 4 0 0 0 0 0 | * * * * 4 * * * * * * * | 1 0 0 0 3 0 0 1 0 0 0 | 3 0 0 3 0 3 0 0 | 3 0 3 0 .x.3.o. ... .x. ... ... ♦ 0 6 0 | 0 0 6 3 0 0 | 0 0 0 2 3 0 0 0 0 | * * * * * 24 * * * * * * | 0 1 0 0 1 2 0 0 1 0 0 | 1 2 0 2 1 1 2 0 | 2 1 2 1 .x. ... ... .x.3.o. ... ♦ 0 6 0 | 0 0 3 6 0 0 | 0 0 0 0 3 2 0 0 0 | * * * * * * 24 * * * * * | 0 0 1 0 0 2 1 0 0 1 0 | 0 2 1 1 2 0 2 1 | 1 2 1 2 ... ... ... .x.3.o.3.o. ♦ 0 4 0 | 0 0 0 6 0 0 | 0 0 0 0 0 4 0 0 0 | * * * * * * * 4 * * * * | 0 0 0 1 0 0 3 0 0 0 1 | 0 0 3 0 3 0 0 3 | 0 3 0 3 .xo3.oo ... ... ... ...&#x ♦ 0 3 1 | 0 0 3 0 3 0 | 0 0 0 1 0 0 3 0 0 | * * * * * * * * 16 * * * | 0 0 0 0 0 0 0 1 3 0 0 | 0 0 0 0 0 3 3 0 | 0 0 3 1 .xo ... ... .xx ... ...&#x ♦ 0 4 2 | 0 0 2 2 4 1 | 0 0 0 0 1 0 2 2 0 | * * * * * * * * * 36 * * | 0 0 0 0 0 0 0 0 2 2 0 | 0 0 0 0 0 1 4 1 | 0 0 2 2 ... ... ... .xx3.oo ...&#x ♦ 0 3 3 | 0 0 0 3 3 3 | 0 0 0 0 0 1 0 3 1 | * * * * * * * * * * 16 * | 0 0 0 0 0 0 0 0 0 3 1 | 0 0 0 0 0 0 3 3 | 0 0 1 3 ... ... ... ..x3..o3..o ♦ 0 0 4 | 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * 1 ♦ 0 0 0 0 0 0 0 0 0 0 4 | 0 0 0 0 0 0 0 6 | 0 0 0 4 ---------------------------+--------+-----------------+--------------------------+---------------------------------+----------------------------+-------------------+-------- xx.3oo.3oo. ... ... ...&#x ♦ 4 4 0 | 6 4 6 0 0 0 | 4 6 0 4 0 0 0 0 0 | 1 4 0 0 1 0 0 0 0 0 0 0 | 4 * * * * * * * * * * | 3 0 0 0 0 0 0 0 | 3 0 0 0 xx.3oo. ... ox. ... ...&#x ♦ 3 6 0 | 3 6 6 3 0 0 | 1 6 3 2 3 0 0 0 0 | 0 2 3 0 0 1 0 0 0 0 0 0 | * 24 * * * * * * * * * | 1 2 0 0 0 0 0 0 | 2 1 0 0 xx. ... ... ox.3oo. ...&#x ♦ 2 6 0 | 1 6 3 6 0 0 | 0 3 6 0 3 2 0 0 0 | 0 0 3 2 0 0 1 0 0 0 0 0 | * * 24 * * * * * * * * | 0 2 1 0 0 0 0 0 | 1 2 0 0 ... ... ... ox.3oo.3oo.&#x ♦ 1 4 0 | 0 4 0 6 0 0 | 0 0 6 0 0 4 0 0 0 | 0 0 0 4 0 0 0 1 0 0 0 0 | * * * 4 * * * * * * * | 0 0 3 0 0 0 0 0 | 0 3 0 0 .x.3.o.3.o. .x. ... ... ♦ 0 8 0 | 0 0 12 4 0 0 | 0 0 0 8 6 0 0 0 0 | 0 0 0 0 2 4 0 0 0 0 0 0 | * * * * 6 * * * * * * | 1 0 0 2 0 1 0 0 | 2 0 2 0 .x.3.o. ... .x.3.o. ... ♦ 0 9 0 | 0 0 9 9 0 0 | 0 0 0 3 9 3 0 0 0 | 0 0 0 0 0 3 3 0 0 0 0 0 | * * * * * 16 * * * * * | 0 1 0 1 1 0 1 0 | 1 1 1 1 .x. ... ... .x.3.o.3.o. ♦ 0 8 0 | 0 0 4 12 0 0 | 0 0 0 0 6 8 0 0 0 | 0 0 0 0 0 0 4 2 0 0 0 0 | * * * * * * 6 * * * * | 0 0 1 0 2 0 0 1 | 0 2 0 2 .xo3.oo3.oo ... ... ...&#x ♦ 0 4 1 | 0 0 6 0 4 0 | 0 0 0 4 0 0 6 0 0 | 0 0 0 0 1 0 0 0 4 0 0 0 | * * * * * * * 4 * * * | 0 0 0 0 0 3 0 0 | 0 0 3 0 .xo3.oo ... .xx ... ...&#x ♦ 0 6 2 | 0 0 6 3 6 1 | 0 0 0 2 3 0 6 3 0 | 0 0 0 0 0 1 0 0 2 3 0 0 | * * * * * * * * 24 * * | 0 0 0 0 0 1 2 0 | 0 0 2 1 .xo ... ... .xx3.oo ...&#x ♦ 0 6 3 | 0 0 3 6 6 3 | 0 0 0 0 3 2 3 6 1 | 0 0 0 0 0 0 1 0 0 3 2 0 | * * * * * * * * * 24 * | 0 0 0 0 0 0 2 1 | 0 0 1 2 ... ... ... .xx3.oo3.oo&#x ♦ 0 4 4 | 0 0 0 6 4 6 | 0 0 0 0 0 4 0 6 4 | 0 0 0 0 0 0 0 1 0 0 4 1 | * * * * * * * * * * 4 | 0 0 0 0 0 0 0 3 | 0 0 0 3 ---------------------------+--------+-----------------+--------------------------+---------------------------------+----------------------------+-------------------+-------- xx.3oo.3oo. ox. ... ...&#x ♦ 4 8 0 | 6 8 12 4 0 0 | 4 12 4 8 6 0 0 0 0 | 1 8 6 0 2 4 0 0 0 0 0 0 | 2 4 0 0 1 0 0 0 0 0 0 | 6 * * * * * * * | 2 0 0 0 xx.3oo. ... ox.3oo. ...&#x ♦ 3 9 0 | 3 9 9 9 0 0 | 1 9 9 3 9 3 0 0 0 | 0 3 9 3 0 3 3 0 0 0 0 0 | 0 3 3 0 0 1 0 0 0 0 0 | * 16 * * * * * * | 1 1 0 0 xx. ... ... ox.3oo.3oo.&#x ♦ 2 8 0 | 1 8 4 12 0 0 | 0 4 12 0 6 8 0 0 0 | 0 0 6 8 0 0 4 2 0 0 0 0 | 0 0 4 2 0 0 1 0 0 0 0 | * * 6 * * * * * | 0 2 0 0 .x.3.o.3.o. .x.3.o. ... ♦ 0 12 0 | 0 0 18 12 0 0 | 0 0 0 12 18 4 0 0 0 | 0 0 0 0 3 12 6 0 0 0 0 0 | 0 0 0 0 3 4 0 0 0 0 0 | * * * 4 * * * * | 1 0 1 0 .x.3.o. ... .x.3.o.3.o. ♦ 0 12 0 | 0 0 12 18 0 0 | 0 0 0 4 18 12 0 0 0 | 0 0 0 0 0 6 12 3 0 0 0 0 | 0 0 0 0 0 4 3 0 0 0 0 | * * * * 4 * * * | 0 1 0 1 .xo3.oo3.oo .xx ... ...&#x ♦ 0 8 2 | 0 0 12 4 8 1 | 0 0 0 8 6 0 12 4 0 | 0 0 0 0 2 4 0 0 8 6 0 0 | 0 0 0 0 1 0 0 2 4 0 0 | * * * * * 6 * * | 0 0 2 0 .xo3.oo ... .xx3.oo ...&#x ♦ 0 9 3 | 0 0 9 9 9 3 | 0 0 0 3 9 3 9 9 1 | 0 0 0 0 0 3 3 0 3 9 3 0 | 0 0 0 0 0 1 0 0 3 3 0 | * * * * * * 16 * | 0 0 1 1 .xo ... ... .xx3.oo3.oo&#x ♦ 0 8 4 | 0 0 4 12 8 6 | 0 0 0 0 6 8 4 12 4 | 0 0 0 0 0 0 4 2 0 6 8 1 | 0 0 0 0 0 0 1 0 0 4 2 | * * * * * * * 6 | 0 0 0 2 ---------------------------+--------+-----------------+--------------------------+---------------------------------+----------------------------+-------------------+-------- xx.3oo.3oo. ox.3oo. ...&#x ♦ 4 12 0 | 6 12 18 12 0 0 | 4 18 12 12 18 4 0 0 0 | 1 12 18 4 3 12 6 0 0 0 0 0 | 3 12 6 0 3 4 0 0 0 0 0 | 3 4 0 1 0 0 0 0 | 4 * * * xx.3oo. ... ox.3oo.3oo.&#x ♦ 3 12 0 | 3 12 12 18 0 0 | 1 12 18 4 18 12 0 0 0 | 0 4 18 12 0 6 12 3 0 0 0 0 | 0 6 12 3 0 4 3 0 0 0 0 | 0 4 3 0 1 0 0 0 | * 4 * * .xo3.oo3.oo .xx3.oo ...&#x ♦ 0 12 3 | 0 0 18 12 12 3 | 0 0 0 12 18 4 18 12 1 | 0 0 0 0 3 12 6 0 12 18 4 0 | 0 0 0 0 3 4 0 3 12 6 0 | 0 0 0 1 0 3 4 0 | * * 4 * .xo3.oo ... .xx3.oo3.oo&#x ♦ 0 12 4 | 0 0 12 18 12 6 | 0 0 0 4 18 12 12 18 4 | 0 0 0 0 0 6 12 3 4 18 12 1 | 0 0 0 0 0 4 3 0 6 12 3 | 0 0 0 0 1 0 4 3 | * * * 4
or o..3o..3o.. o..3o..3o.. & | 8 * | 3 4 0 | 3 12 6 0 0 | 1 12 18 4 0 0 | 4 18 12 1 0 0 | 6 12 3 0 | 4 3 .o.3.o.3.o. .o.3.o.3.o. | * 16 | 0 2 6 | 0 6 6 6 9 | 0 6 18 6 2 18 | 2 18 18 2 6 9 | 6 18 6 6 | 6 6 -----------------------------+------+----------+---------------+-----------------+-----------------+------------+---- x.. ... ... ... ... ... & | 2 0 | 12 * * | 2 4 0 0 0 | 1 8 6 0 0 0 | 4 12 4 0 0 0 | 6 8 1 0 | 4 2 oo.3oo.3oo. oo.3oo.3oo.&#x & | 1 1 | * 32 * | 0 3 3 0 0 | 0 3 9 3 0 0 | 1 9 9 1 0 0 | 3 9 3 0 | 3 3 .x. ... ... ... ... ... & | 0 2 | * * 48 | 0 1 1 2 3 | 0 2 6 2 1 9 | 1 9 9 1 4 6 | 4 12 4 5 | 5 5 -----------------------------+------+----------+---------------+-----------------+-----------------+------------+---- x..3o.. ... ... ... ... & | 3 0 | 3 0 0 | 8 * * * * | 1 4 0 0 0 0 | 4 6 0 0 0 0 | 6 4 0 0 | 4 1 xx. ... ... ... ... ...&#x & | 2 2 | 1 2 1 | * 48 * * * | 0 2 3 0 0 0 | 1 6 3 0 0 0 | 3 6 1 0 | 3 2 ... ... ... ox. ... ...&#x & | 1 2 | 0 2 1 | * * 48 * * | 0 0 3 2 0 0 | 0 3 6 1 0 0 | 1 6 3 0 | 2 3 .x.3.o. ... ... ... ... & | 0 3 | 0 0 3 | * * * 32 * | 0 1 0 1 1 3 | 1 3 3 1 3 3 | 3 6 3 4 | 4 4 .x. ... ... .x. ... ... | 0 4 | 0 0 4 | * * * * 36 | 0 0 2 0 0 4 | 0 4 4 0 2 4 | 2 8 2 4 | 4 4 -----------------------------+------+----------+---------------+-----------------+-----------------+------------+---- x..3o..3o.. ... ... ... & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 2 * * * * * ♦ 4 0 0 0 0 0 | 6 0 0 0 | 4 0 xx.3oo. ... ... ... ...&#x & ♦ 3 3 | 3 3 3 | 1 3 0 1 0 | * 32 * * * * | 1 3 0 0 0 0 | 3 3 0 0 | 3 2 xx. ... ... ox. ... ...&#x & ♦ 2 4 | 1 4 4 | 0 2 2 0 1 | * * 72 * * * | 0 2 2 0 0 0 | 1 4 1 0 | 2 2 ... ... ... ox.3oo. ...&#x & ♦ 1 3 | 0 3 3 | 0 0 3 1 0 | * * * 32 * * | 0 0 3 1 0 0 | 0 3 3 0 | 1 3 .x.3.o.3.o. ... ... ... & ♦ 0 4 | 0 0 6 | 0 0 0 4 0 | * * * * 8 * | 1 0 0 1 3 0 | 3 0 3 3 | 3 3 .x.3.o. ... .x. ... ... & ♦ 0 6 | 0 0 9 | 0 0 0 2 3 | * * * * * 48 | 0 1 1 0 1 2 | 1 4 1 3 | 3 3 -----------------------------+------+----------+---------------+-----------------+-----------------+------------+---- xx.3oo.3oo. ... ... ...&#x & ♦ 4 4 | 6 4 6 | 4 6 0 4 0 | 1 4 0 0 1 0 | 8 * * * * * | 3 0 0 0 | 3 0 xx.3oo. ... ox. ... ...&#x & ♦ 3 6 | 3 6 9 | 1 6 3 2 3 | 0 2 3 0 0 1 | * 48 * * * * | 1 2 0 0 | 2 1 xx. ... ... ox.3oo. ...&#x & ♦ 2 6 | 1 6 9 | 0 3 6 2 3 | 0 0 3 2 0 1 | * * 48 * * * | 0 2 1 0 | 1 2 ... ... ... ox.3oo.3oo.&#x & ♦ 1 4 | 0 4 6 | 0 0 6 4 0 | 0 0 0 4 1 0 | * * * 8 * * | 0 0 3 0 | 0 3 .x.3.o.3.o. .x. ... ... & ♦ 0 8 | 0 0 16 | 0 0 0 8 6 | 0 0 0 0 2 4 | * * * * 12 * | 1 0 1 2 | 2 2 .x.3.o. ... .x.3.o. ... ♦ 0 9 | 0 0 18 | 0 0 0 6 9 | 0 0 0 0 0 6 | * * * * * 16 | 0 2 0 2 | 2 2 -----------------------------+------+----------+---------------+-----------------+-----------------+------------+---- xx.3oo.3oo. ox. ... ...&#x & ♦ 4 8 | 6 8 16 | 4 12 4 8 6 | 1 8 6 0 2 4 | 2 4 0 0 1 0 | 12 * * * | 2 0 xx.3oo. ... ox.3oo. ...&#x & ♦ 3 9 | 3 9 18 | 1 9 9 6 9 | 0 3 9 3 0 6 | 0 3 3 0 0 1 | * 32 * * | 1 1 xx. ... ... ox.3oo.3oo.&#x & ♦ 2 8 | 1 8 16 | 0 4 12 8 6 | 0 0 6 8 2 4 | 0 0 4 2 1 0 | * * 12 * | 0 2 .x.3.o.3.o. .x.3.o. ... & ♦ 0 12 | 0 0 30 | 0 0 0 16 18 | 0 0 0 0 3 18 | 0 0 0 0 3 4 | * * * 8 | 1 1 -----------------------------+------+----------+---------------+-----------------+-----------------+------------+---- xx.3oo.3oo. ox.3oo. ...&#x & ♦ 4 12 | 6 12 30 | 4 18 12 16 18 | 1 12 18 4 3 18 | 3 12 6 0 3 4 | 3 4 0 1 | 8 * xx.3oo. ... ox.3oo.3oo.&#x & ♦ 3 12 | 3 12 30 | 1 12 18 16 18 | 0 4 18 12 3 18 | 0 6 12 3 3 4 | 0 4 3 1 | * 8
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