tidril

Acronym

tidril

Name

tridiminished rectified heptapeton,
(pen,pen,bidrap)-trigonic

Circumradius

sqrt(5/7) = 0.845154

Lace city
in approx. ASCII-art

  p                 
            p=pen 
p   b       b=bidrap

Lace hyper city
in approx. ASCII-art

             
x o o   o x o
             
             
             
    o o x

hix

    x x o    
             
             
             
x o x   o x x

tedrix

    x o o    
             
             
             
x o x   o o x

bidrap

             
x x o   o x o
             
             
             
    o x x

penp

Face vector

18, 75, 127, 107, 48, 11

Confer

uniform relative:: ril
related segmentopeta:: penppy octa tratet

This polypeton is a tridiminished ril, i.e. obtained therefrom by chopping off 3 penppies. Here the omitted vertices all are at pairwise distance q = sqrt(2). (However, there is a different tridiminishing of ril as well, where all omitted vertices are at distance x = 1, then resulting in octa tratet.)

Incidence matrix according to Dynkin symbol

xoo oxo oox&#x || oxx xox xxo&#x   → all heights of layerwise segmentochora = 1/2 = 0.5
(hix || tedrix)                    height of segmentopeton = sqrt(7/12) = 0.763763

o.. o.. o..      ... ... ...     & | 6  * | 1  4  4  0  0 |  6 4  4  2  4  4 0  0  0 0 | 2  8 4  6 2  4  4 0  0  0 | 5  8 2  4 1 0 0 | 1 5 1 0
... ... ...      o.. o.. o..     & | * 12 | 0  0  2  2  4 |  0 0  2  2  1  4 1  6  4 2 | 0  0 2  2 2  4  6 2  6  5 | 0  5 1  6 2 2 4 | 0 4 2 1
-----------------------------------+------+---------------+----------------------------+---------------------------+-----------------+--------
x.. ... ...      ... ... ...     & | 2  0 | 3  *  *  *  * |  4 0  4  0  0  0 0  0  0 0 | 2  4 0  4 2  4  0 0  0  0 | 4  4 2  4 0 0 0 | 1 4 1 0
oo. oo. oo.&#x   ... ... ...     & | 2  0 | * 12  *  *  * |  2 2  0  0  1  0 0  0  0 0 | 1  5 2  2 0  0  0 0  0  0 | 4  5 1  0 0 0 0 | 1 4 0 0
o.. o.. o..    || .o. .o. .o.     & | 1  1 | *  * 24  *  * |  0 0  1  1  1  2 0  0  0 0 | 0  0 2  2 1  2  3 0  0  0 | 0  5 1  3 1 0 0 | 0 4 1 0
... ... ...      ... x.. ...     & | 0  2 | *  *  * 12  * |  0 0  1  1  0  0 1  2  2 0 | 0  0 0  1 2  2  2 1  3  2 | 0  2 1  5 1 2 3 | 0 3 2 1
... ... ...      oo. oo. oo.&#x  & | 0  2 | *  *  *  * 24 |  0 0  0  0  0  1 0  2  1 1 | 0  0 1  0 0  1  2 1  2  3 | 0  3 0  2 1 1 3 | 0 3 1 1
-----------------------------------+------+---------------+----------------------------+---------------------------+-----------------+--------
xo. ... ...&#x   ... ... ...     & | 3  0 | 1  2  0  0  0 | 12 *  *  *  *  * *  *  * * | 1  2 0  1 0  0  0 0  0  0 | 3  2 1  0 0 0 0 | 1 3 0 0
ooo ooo ooo&#x   ... ... ...     & | 3  0 | 0  3  0  0  0 |  * 8  *  *  *  * *  *  * * | 0  3 1  0 0  0  0 0  0  0 | 3  3 0  0 0 0 0 | 1 3 0 0
x.. ... ...    || .x. ... ...     & | 2  2 | 1  0  2  1  0 |  * * 12  *  *  * *  *  * * | 0  0 0  1 1  2  0 0  0  0 | 0  2 1  3 0 0 0 | 0 3 1 0
... ... o..    || ... ... .x.     & | 1  2 | 0  0  2  1  0 |  * *  * 12  *  * *  *  * * | 0  0 0  1 1  0  2 0  0  0 | 0  2 1  2 1 0 0 | 0 3 1 0
oo. oo. oo.&#x || ..o ..o ..o&#x  & | 2  1 | 0  1  2  0  0 |  * *  *  * 12  * *  *  * * | 0  0 2  2 0  0  0 0  0  0 | 0  5 1  0 0 0 0 | 0 4 0 0
o.. o.. o..    || .oo .oo .oo&#x  & | 1  2 | 0  0  2  0  1 |  * *  *  *  * 24 *  *  * * | 0  0 1  0 0  1  2 0  0  0 | 0  3 0  2 1 0 0 | 0 3 1 0
... ... ...      ... x.. x..     & | 0  4 | 0  0  0  4  0 |  * *  *  *  *  * 3  *  * * | 0  0 0  0 2  0  0 0  4  0 | 0  0 1  4 0 2 2 | 0 2 2 1
... ... ...      ox. ... ...&#x  & | 0  3 | 0  0  0  1  2 |  * *  *  *  *  * * 24  * * | 0  0 0  0 0  0  1 1  1  1 | 0  1 0  1 1 1 2 | 0 2 1 1
... ... ...      ... ... xx.&#x  & | 0  4 | 0  0  0  2  2 |  * *  *  *  *  * *  * 12 * | 0  0 0  0 0  1  0 0  2  1 | 0  1 0  2 0 1 2 | 0 2 1 1
... ... ...      ooo ooo ooo&#x    | 0  3 | 0  0  0  0  3 |  * *  *  *  *  * *  *  * 8 | 0  0 1  0 0  0  0 0  0  3 | 0  3 0  0 0 0 3 | 0 3 0 1
-----------------------------------+------+---------------+----------------------------+---------------------------+-----------------+--------
xo. ox. ...&#x   ... ... ...     & ♦ 4  0 | 2  4  0  0  0 |  4 0  0  0  0  0 0  0  0 0 | 3  * *  * *  *  * *  *  * | 2  0 1  0 0 0 0 | 1 2 0 0
xoo ... ...&#x   ... ... ...     & ♦ 4  0 | 1  5  0  0  0 |  2 2  0  0  0  0 0  0  0 0 | * 12 *  * *  *  * *  *  * | 2  1 0  0 0 0 0 | 1 2 0 0
ooo ooo ooo&#x || ooo ooo ooo&#x    ♦ 3  3 | 0  3  6  0  3 |  0 1  0  0  3  3 0  0  0 1 | *  * 8  * *  *  * *  *  * | 0  3 0  0 0 0 0 | 0 3 0 0
xo. ... ...&#x || ..x ... ...     & ♦ 3  2 | 1  2  4  1  0 |  1 0  1  1  2  0 0  0  0 0 | *  * * 12 *  *  * *  *  * | 0  2 1  0 0 0 0 | 0 3 0 0
x.. o.. ...    || ..x ..x ...     & ♦ 2  4 | 1  0  4  4  0 |  0 0  2  2  0  0 1  0  0 0 | *  * *  * 6  *  * *  *  * | 0  0 1  2 0 0 0 | 0 2 1 0
x.. ... ...    || .xx ... ...&#x  & ♦ 2  4 | 1  0  4  2  2 |  0 0  2  0  0  2 0  0  1 0 | *  * *  * * 12  * *  *  * | 0  1 0  2 0 0 0 | 0 2 1 0
... o.. ...    || ... .ox ...&#x  & ♦ 1  3 | 0  0  3  1  2 |  0 0  0  1  0  2 0  1  0 0 | *  * *  * *  * 24 *  *  * | 0  1 0  1 1 0 0 | 0 2 1 0
... ... ...      ox. xo. ...&#x  & ♦ 0  4 | 0  0  0  2  4 |  0 0  0  0  0  0 0  4  0 0 | *  * *  * *  *  * 6  *  * | 0  0 0  0 1 1 1 | 0 1 1 1
... ... ...      ox. ... xx.&#x  & ♦ 0  6 | 0  0  0  3  4 |  0 0  0  0  0  0 1  2  2 0 | *  * *  * *  *  * * 12  * | 0  0 0  1 0 1 1 | 0 1 1 1
... ... ...      oxx ... ...&#x  & ♦ 0  5 | 0  0  0  2  6 |  0 0  0  0  0  0 0  2  1 2 | *  * *  * *  *  * *  * 12 | 0  1 0  0 0 0 2 | 0 2 0 1
-----------------------------------+------+---------------+----------------------------+---------------------------+-----------------+--------
xoo oxo ...&#x   ... ... ...     & ♦ 5  0 | 2  8  0  0  0 |  6 4  0  0  0  0 0  0  0 0 | 1  4 0  0 0  0  0 0  0  0 | 6  * *  * * * * | 1 1 0 0
xoo ... ...&#x || oxx ... ...&#x  & ♦ 4  5 | 1  5 10  2  6 |  2 2  2  2  5  6 0  2  1 2 | 0  1 2  2 0  1  2 0  0  1 | * 12 *  * * * * | 0 2 0 0
xo. ox. ...&#x || ..x ..x ...     & ♦ 4  4 | 2  4  8  4  0 |  4 0  4  4  4  0 1  0  0 0 | 1  0 0  4 2  0  0 0  0  0 | *  * 3  * * * * | 0 2 0 0
x.. o.. ...    || .xx .ox ...&#x  & ♦ 2  6 | 1  0  6  5  4 |  0 0  3  2  0  4 1  2  2 0 | 0  0 0  0 1  2  2 0  1  0 | *  * * 12 * * * | 0 1 1 0
... o.. o..    || ... .ox .xo&#x  & ♦ 1  4 | 0  0  4  2  4 |  0 0  0  2  0  4 0  4  0 0 | 0  0 0  0 0  0  4 1  0  0 | *  * *  * 6 * * | 0 1 1 0
... ... ...      ox. xo. xx.&#x  & ♦ 0  8 | 0  0  0  8  8 |  0 0  0  0  0  0 2  8  4 0 | 0  0 0  0 0  0  0 2  4  0 | *  * *  * * 3 * | 0 0 1 1
... ... ...      oxx xox ...&#x  & ♦ 0  8 | 0  0  0  6 12 |  0 0  0  0  0  0 1  8  4 4 | 0  0 0  0 0  0  0 1  2  4 | *  * *  * * * 6 | 0 1 0 1
-----------------------------------+------+---------------+----------------------------+---------------------------+-----------------+--------
xoo oxo oox&#x   ... ... ...       ♦ 6  0 | 3 12  0  0  0 | 12 8  0  0  0  0 0  0  0 0 | 3 12 0  0 0  0  0 0  0  0 | 6  0 0  0 0 0 0 | 1 * * *
xoo oxo ...&#x || oxx xox ...&#x  & ♦ 5  8 | 2  8 16  6 12 |  6 4  6  6  8 12 1  8  4 4 | 1  4 4  6 2  4  8 1  2  4 | 1  4 1  2 1 0 1 | * 6 * *
x.. o.. o..    || .xx .ox .xo&#x  & ♦ 2  8 | 1  0  8  8  8 |  0 0  4  4  0  8 2  8  4 0 | 0  0 0  0 2  4  8 2  4  0 | 0  0 0  4 2 1 0 | * * 3 *
... ... ...      oxx xox xxo&#x    ♦ 0 12 | 0  0  0 12 24 |  0 0  0  0  0  0 3 24 12 8 | 0  0 0  0 0  0  0 6 12 12 | 0  0 0  0 0 3 6 | * * * 1

( xoo oxo&#x, xoo oxo&#x, oxx xox&#x )&#x   → height(123456,789) = sqrt(7/20) = 0.591608
(penp || bidrap)

( o.. o..   , ... ...   , ... ...    )    & | 8 * * * | 1 2 1 1 1  2 0 0 0 0 0 0 | 3 1 1 1 2 1 2 2 2 1 1 1 2  2 0 0 0 0 0 0 0 0 | 1 3 3 3 1 1 1 2 1 2 2 2 1 2 1 2 1 0 0 0 0 0 0 | 1 1 3 3 1 3 1 1 2 2 1 1 0 0 0 | 1 1 3 1 1 0
( ..o ..o   , ... ...   , ... ...    )    & | * 2 * * | 0 0 4 0 0  0 1 4 0 0 0 0 | 0 2 0 0 0 0 4 0 0 4 4 0 0  0 2 4 4 0 0 0 0 0 | 0 4 0 0 2 2 0 0 0 4 4 0 4 0 0 0 0 2 4 4 0 0 0 | 0 1 4 4 0 0 2 0 4 0 0 0 4 1 0 | 1 1 4 0 0 1
( ... ...   , ... ...   , o.. o..    )    & | * * 4 * | 0 0 0 0 2  0 0 2 1 2 2 0 | 0 0 0 2 0 0 0 0 0 0 2 1 0  4 2 1 4 3 2 1 2 0 | 0 0 0 0 0 2 1 0 0 0 4 0 1 4 2 2 0 1 2 6 1 3 1 | 0 0 0 6 0 0 1 0 2 2 1 2 3 2 1 | 0 2 3 0 1 1
( ... ...   , ... ...   , ..o ..o    )      | * * * 4 | 0 0 0 0 0  4 0 0 0 0 2 2 | 0 0 0 0 4 4 0 0 2 0 0 0 2  4 0 0 0 0 1 2 2 1 | 0 0 0 4 0 0 0 2 2 0 2 1 0 4 4 2 4 0 0 0 0 2 2 | 0 0 0 4 2 2 0 2 1 2 2 4 0 0 1 | 0 2 2 1 2 0
--------------------------------------------+---------+--------------------------+----------------------------------------------+-----------------------------------------------+-------------------------------+------------
( x.. ...   , ... ...   , ... ...    )    & | 2 0 0 0 | 4 * * * *  * * * * * * * | 2 1 1 1 2 0 0 0 0 0 0 0 0  0 0 0 0 0 0 0 0 0 | 1 2 2 2 1 1 1 2 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 | 1 1 2 2 1 2 1 1 0 2 0 1 0 0 0 | 1 1 2 1 1 0
( oo. oo.&#x, ... ...   , ... ...    )    & | 2 0 0 0 | * 8 * * *  * * * * * * * | 2 0 0 0 0 0 1 1 1 0 0 0 0  0 0 0 0 0 0 0 0 0 | 1 2 2 2 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 2 1 2 0 0 1 0 0 0 0 0 0 | 1 1 2 1 0 0
( o.o o.o&#x, ... ...   , ... ...    )    & | 1 1 0 0 | * * 8 * *  * * * * * * * | 0 1 0 0 0 0 2 0 0 1 1 0 0  0 0 0 0 0 0 0 0 0 | 0 3 0 0 1 1 0 0 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 | 0 1 3 3 0 0 1 0 2 0 0 0 0 0 0 | 1 1 3 0 0 0
( o.. o..   , o.. o..   , ... ...    )&#x & | 2 0 0 0 | * * * 4 *  * * * * * * * | 0 0 1 0 0 0 0 2 0 1 0 1 2  0 0 0 0 0 0 0 0 0 | 0 0 3 0 1 0 1 2 1 2 0 2 1 0 0 2 0 0 0 0 0 0 0 | 1 0 3 0 0 3 1 1 2 2 1 0 0 0 0 | 1 0 3 1 1 0
( o.. o..   , ... ...   , .o. .o.    )&#x & | 1 0 1 0 | * * * * 8  * * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 1 0  2 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 1 0 0 0 2 0 1 2 1 2 0 0 0 0 0 0 0 | 0 0 0 3 0 0 1 0 2 2 1 1 0 0 0 | 0 1 3 0 1 0
( o.. o..   , ... ...   , ..o ..o    )&#x & | 1 0 0 1 | * * * * * 16 * * * * * * | 0 0 0 0 1 1 0 0 1 0 0 0 1  1 0 0 0 0 0 0 0 0 | 0 0 0 2 0 0 0 1 1 0 1 1 0 1 1 1 1 0 0 0 0 0 0 | 0 0 0 2 1 2 0 1 1 1 1 1 0 0 0 | 0 1 2 1 1 0
( ..o ..o   , ..o ..o   , ... ...    )&#x   | 0 2 0 0 | * * * * *  * 1 * * * * * | 0 0 0 0 0 0 0 0 0 4 0 0 0  0 0 4 0 0 0 0 0 0 | 0 0 0 0 2 0 0 0 0 4 0 0 4 0 0 0 0 2 4 0 0 0 0 | 0 0 4 0 0 0 2 0 4 0 0 0 4 0 0 | 1 0 4 0 0 1
( ..o ..o   , ... ...   , o.. o..    )&#x & | 0 1 1 0 | * * * * *  * * 8 * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0  0 1 1 2 0 0 0 0 0 | 0 0 0 0 0 1 0 0 0 0 2 0 1 0 0 0 0 1 2 3 0 0 0 | 0 0 0 3 0 0 1 0 2 0 0 0 3 1 0 | 0 1 3 0 0 1
( ... ...   , ... ...   , ... x..    )    & | 0 0 2 0 | * * * * *  * * * 2 * * * | 0 0 0 2 0 0 0 0 0 0 0 0 0  0 2 0 0 2 0 0 2 0 | 0 0 0 0 0 2 1 0 0 0 0 0 0 4 0 0 0 1 0 4 1 2 1 | 0 0 0 4 0 0 1 0 0 2 0 2 2 2 1 | 0 2 2 0 1 1
( ... ...   , ... ...   , oo. oo.&#x )      | 0 0 2 0 | * * * * *  * * * * 4 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0 2 2 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 1 4 1 2 0 | 0 0 0 4 0 0 0 0 1 0 0 0 2 2 1 | 0 2 2 0 0 1
( ... ...   , ... ...   , o.o o.o&#x )    & | 0 0 1 1 | * * * * *  * * * * * 8 * | 0 0 0 0 0 0 0 0 0 0 0 0 0  2 0 0 0 0 1 1 1 0 | 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 1 0 0 0 0 0 2 1 | 0 0 0 4 0 0 0 0 1 1 1 2 0 0 1 | 0 2 2 0 1 0
( ... ...   , ... ...   , ..x ...    )    & | 0 0 0 2 | * * * * *  * * * * * * 4 | 0 0 0 0 2 2 0 0 0 0 0 0 0  0 0 0 0 0 0 1 1 1 | 0 0 0 2 0 0 0 1 1 0 0 0 0 2 2 0 4 0 0 0 0 1 2 | 0 0 0 2 2 1 0 2 0 1 1 4 0 0 1 | 0 2 1 1 2 0
--------------------------------------------+---------+--------------------------+----------------------------------------------+-----------------------------------------------+-------------------------------+------------
( xo. ...&#x, ... ...   , ... ...    )    & | 3 0 0 0 | 1 2 0 0 0  0 0 0 0 0 0 0 | 8 * * * * * * * * * * * *  * * * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0
( x.o ...&#x, ... ...   , ... ...    )    & | 2 1 0 0 | 1 0 2 0 0  0 0 0 0 0 0 0 | * 4 * * * * * * * * * * *  * * * * * * * * * | 0 2 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 2 2 0 0 1 0 0 0 0 0 0 0 0 | 1 1 2 0 0 0
( x.. ...   , x.. ...   , ... ...    )&#x & | 4 0 0 0 | 2 0 0 2 0  0 0 0 0 0 0 0 | * * 2 * * * * * * * * * *  * * * * * * * * * | 0 0 2 0 1 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 2 0 0 2 1 1 0 2 0 0 0 0 0 | 1 0 2 1 1 0
( x.. ...   , ... ...   , .x. ...    )&#x & | 2 0 2 0 | 1 0 0 0 2  0 0 0 1 0 0 0 | * * * 4 * * * * * * * * *  * * * * * * * * * | 0 0 0 0 0 1 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 | 0 0 0 2 0 0 1 0 0 2 0 1 0 0 0 | 0 1 2 0 1 0
( x.. ...   , ... ...   , ..x ...    )&#x & | 2 0 0 2 | 1 0 0 0 0  2 0 0 0 0 0 1 | * * * * 8 * * * * * * * *  * * * * * * * * * | 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 | 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 | 0 1 1 1 1 0
( ... o..   , ... ...   , ... ..x    )&#x & | 1 0 0 2 | 0 0 0 0 0  2 0 0 0 0 0 1 | * * * * * 8 * * * * * * *  * * * * * * * * * | 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 | 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 | 0 1 1 1 1 0
( ooo ooo&#x, ... ...   , ... ...    )    & | 2 1 0 0 | 0 1 2 0 0  0 0 0 0 0 0 0 | * * * * * * 8 * * * * * *  * * * * * * * * * | 0 2 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 2 2 0 0 0 0 1 0 0 0 0 0 0 | 1 1 2 0 0 0
( oo. oo.&#x, oo. oo.&#x, ... ...    )&#x   | 4 0 0 0 | 0 2 0 2 0  0 0 0 0 0 0 0 | * * * * * * * 4 * * * * *  * * * * * * * * * | 0 0 2 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 0 2 0 0 2 0 0 1 0 0 0 0 0 0 | 1 0 2 1 0 0
( oo. oo.&#x, ... ...   , ..o ..o    )&#x & | 2 0 0 1 | 0 1 0 0 0  2 0 0 0 0 0 0 | * * * * * * * * 8 * * * *  * * * * * * * * * | 0 0 0 2 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 2 1 2 0 0 1 0 0 0 0 0 0 | 0 1 2 1 0 0
( o.o o.o&#x, o.o o.o&#x, ... ...    )&#x & | 2 2 0 0 | 0 0 2 1 0  0 1 0 0 0 0 0 | * * * * * * * * * 4 * * *  * * * * * * * * * | 0 0 0 0 1 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 | 0 0 3 0 0 0 1 0 2 0 0 0 0 0 0 | 1 0 3 0 0 0
( o.o o.o&#x, ... ...   , .o. .o.    )&#x & | 1 1 1 0 | 0 0 1 0 1  0 0 1 0 0 0 0 | * * * * * * * * * * 8 * *  * * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 2 0 1 0 0 0 0 0 0 0 0 0 0 | 0 0 0 3 0 0 1 0 2 0 0 0 0 0 0 | 0 1 3 0 0 0
( o.. o..   , o.. o..   , .o. .o.    )&#x & | 2 0 1 0 | 0 0 0 1 2  0 0 0 0 0 0 0 | * * * * * * * * * * * 4 *  * * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 0 2 2 1 0 0 0 0 | 0 0 3 0 1 0
( o.. o..   , o.. o..   , ..o ..o    )&#x & | 2 0 0 1 | 0 0 0 1 0  2 0 0 0 0 0 0 | * * * * * * * * * * * * 8  * * * * * * * * * | 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 | 0 0 0 0 0 2 0 1 1 1 1 0 0 0 0 | 0 0 2 1 1 0
( o.. o..   , ... ...   , .oo .oo&#x )&#x & | 1 0 1 1 | 0 0 0 0 1  1 0 0 0 0 1 0 | * * * * * * * * * * * * * 16 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 | 0 0 0 2 0 0 0 0 1 1 1 1 0 0 0 | 0 1 2 0 1 0
( ... ..o   , ... ...   , ... x..    )&#x & | 0 1 2 0 | 0 0 0 0 0  0 0 2 1 0 0 0 | * * * * * * * * * * * * *  * 4 * * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 | 0 0 0 2 0 0 1 0 0 0 0 0 2 1 0 | 0 1 2 0 0 1
( ..o ..o   , ..o ..o   , o.. o..    )&#x & | 0 2 1 0 | 0 0 0 0 0  0 1 2 0 0 0 0 | * * * * * * * * * * * * *  * * 4 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 0 0 0 0 | 0 0 0 0 0 0 1 0 2 0 0 0 3 0 0 | 0 0 3 0 0 1
( ..o ..o   , ... ...   , oo. oo.&#x )&#x & | 0 1 2 0 | 0 0 0 0 0  0 0 2 0 1 0 0 | * * * * * * * * * * * * *  * * * 8 * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 0 0 0 | 0 0 0 2 0 0 0 0 1 0 0 0 2 1 0 | 0 1 2 0 0 1
( ... ...   , ... ...   , ox. ...&#x )    & | 0 0 3 0 | 0 0 0 0 0  0 0 0 1 2 0 0 | * * * * * * * * * * * * *  * * * * 4 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 | 0 0 0 2 0 0 0 0 0 0 0 0 1 2 1 | 0 2 1 0 0 1
( ... ...   , ... ...   , ooo ooo&#x )    & | 0 0 2 1 | 0 0 0 0 0  0 0 0 0 1 2 0 | * * * * * * * * * * * * *  * * * * * 4 * * * | 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 | 0 0 0 4 0 0 0 0 1 0 0 0 0 0 1 | 0 2 2 0 0 0
( ... ...   , ... ...   , o.x ...&#x )    & | 0 0 1 2 | 0 0 0 0 0  0 0 0 0 0 2 1 | * * * * * * * * * * * * *  * * * * * * 4 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 1 1 | 0 0 0 2 0 0 0 0 0 0 1 2 0 0 1 | 0 2 1 0 1 0
( ... ...   , ... ...   , ... x.x&#x )    & | 0 0 2 2 | 0 0 0 0 0  0 0 0 1 0 2 1 | * * * * * * * * * * * * *  * * * * * * * 4 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 1 1 | 0 0 0 2 0 0 0 0 0 1 0 2 0 0 1 | 0 2 1 0 1 0
( ... ...   , ... ...   , ..x ..x    )      | 0 0 0 4 | 0 0 0 0 0  0 0 0 0 0 0 4 | * * * * * * * * * * * * *  * * * * * * * * 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 2 | 0 0 0 0 2 0 0 2 0 0 0 4 0 0 1 | 0 2 0 1 2 0
--------------------------------------------+---------+--------------------------+----------------------------------------------+-----------------------------------------------+-------------------------------+------------
( xo. ox.&#x, ... ...   , ... ...    )    & ♦ 4 0 0 0 | 2 4 0 0 0  0 0 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
( xoo ...&#x, ... ...   , ... ...    )    & ♦ 3 1 0 0 | 1 2 3 0 0  0 0 0 0 0 0 0 | 1 1 0 0 0 0 2 0 0 0 0 0 0  0 0 0 0 0 0 0 0 0 | * 8 * * * * * * * * * * * * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
( xo. ...&#x, xo. ...&#x, ... ...    )&#x & ♦ 6 0 0 0 | 2 4 0 3 0  0 0 0 0 0 0 0 | 2 0 1 0 0 0 0 2 0 0 0 0 0  0 0 0 0 0 0 0 0 0 | * * 4 * * * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0
( xo. ...&#x, ... ...   , ..x ...    )&#x & ♦ 3 0 0 2 | 1 2 0 0 0  4 0 0 0 0 0 1 | 1 0 0 0 1 1 0 0 2 0 0 0 0  0 0 0 0 0 0 0 0 0 | * * * 8 * * * * * * * * * * * * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
( x.o ...&#x, x.o ...&#x, ... ...    )&#x & ♦ 4 2 0 0 | 2 0 4 2 0  0 1 0 0 0 0 0 | 0 2 1 0 0 0 0 0 0 2 0 0 0  0 0 0 0 0 0 0 0 0 | * * * * 2 * * * * * * * * * * * * * * * * * * | 0 0 2 0 0 0 1 0 0 0 0 0 0 0 0 | 1 0 2 0 0 0
( x.o ...&#x, ... ...   , .x. ...    )&#x & ♦ 2 1 2 0 | 1 0 2 0 2  0 0 2 1 0 0 0 | 0 1 0 1 0 0 0 0 0 0 2 0 0  0 1 0 0 0 0 0 0 0 | * * * * * 4 * * * * * * * * * * * * * * * * * | 0 0 0 2 0 0 1 0 0 0 0 0 0 0 0 | 0 1 2 0 0 0
( x.. ...   , x.. ...   , .x. ...    )&#x & ♦ 4 0 2 0 | 2 0 0 2 4  0 0 0 1 0 0 0 | 0 0 1 2 0 0 0 0 0 0 0 2 0  0 0 0 0 0 0 0 0 0 | * * * * * * 2 * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 | 0 0 2 0 1 0
( x.. ...   , x.. ...   , ..x ...    )&#x & ♦ 4 0 0 2 | 2 0 0 2 0  4 0 0 0 0 0 1 | 0 0 1 0 2 0 0 0 0 0 0 0 2  0 0 0 0 0 0 0 0 0 | * * * * * * * 4 * * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 | 0 0 1 1 1 0
( ... o..   , ... o..   , ... ..x    )&#x & ♦ 2 0 0 2 | 0 0 0 1 0  4 0 0 0 0 0 1 | 0 0 0 0 0 2 0 0 0 0 0 0 2  0 0 0 0 0 0 0 0 0 | * * * * * * * * 4 * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 | 0 0 1 1 1 0
( ooo ooo&#x, ooo ooo&#x, ... ...    )&#x   ♦ 4 2 0 0 | 0 2 4 2 0  0 1 0 0 0 0 0 | 0 0 0 0 0 0 2 1 0 2 0 0 0  0 0 0 0 0 0 0 0 0 | * * * * * * * * * 4 * * * * * * * * * * * * * | 0 0 2 0 0 0 0 0 1 0 0 0 0 0 0 | 1 0 2 0 0 0
( ooo ooo&#x, ... ...   , ooo ooo&#x )&#x & ♦ 2 1 2 1 | 0 1 2 0 2  2 0 2 0 1 2 0 | 0 0 0 0 0 0 1 0 1 0 2 0 0  2 0 0 1 0 1 0 0 0 | * * * * * * * * * * 8 * * * * * * * * * * * * | 0 0 0 2 0 0 0 0 1 0 0 0 0 0 0 | 0 1 2 0 0 0
( oo. oo.&#x, oo. oo.&#x, ..o ..o    )&#x & ♦ 4 0 0 1 | 0 2 0 2 0  4 0 0 0 0 0 0 | 0 0 0 0 0 0 0 1 2 0 0 0 2  0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * 4 * * * * * * * * * * * | 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 | 0 0 2 1 0 0
( o.o o.o&#x, o.o o.o&#x, .o. .o.    )&#x & ♦ 2 2 1 0 | 0 0 2 1 2  0 1 2 0 0 0 0 | 0 0 0 0 0 0 0 0 0 1 2 1 0  0 0 1 0 0 0 0 0 0 | * * * * * * * * * * * * 4 * * * * * * * * * * | 0 0 0 0 0 0 1 0 2 0 0 0 0 0 0 | 0 0 3 0 0 0
( x.. ...   , ... ...   , .xx ...&#x )&#x & ♦ 2 0 2 2 | 1 0 0 0 2  2 0 0 1 0 2 1 | 0 0 0 1 1 0 0 0 0 0 0 0 0  2 0 0 0 0 0 0 1 0 | * * * * * * * * * * * * * 8 * * * * * * * * * | 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 | 0 1 1 0 1 0
( ... o..   , ... ...   , ... .ox&#x )&#x & ♦ 1 0 1 2 | 0 0 0 0 1  2 0 0 0 0 2 1 | 0 0 0 0 0 1 0 0 0 0 0 0 0  2 0 0 0 0 0 1 0 0 | * * * * * * * * * * * * * * 8 * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 | 0 1 1 0 1 0
( o.. o..   , o.. o..   , .oo .oo&#x )&#x & ♦ 2 0 1 1 | 0 0 0 1 2  2 0 0 0 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 1 1  2 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * 8 * * * * * * * | 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 | 0 0 2 0 1 0
( x.. o..   , ... ...   , ..x ..x    )&#x & ♦ 2 0 0 4 | 1 0 0 0 0  4 0 0 0 0 0 4 | 0 0 0 0 2 2 0 0 0 0 0 0 0  0 0 0 0 0 0 0 0 1 | * * * * * * * * * * * * * * * * 4 * * * * * * | 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 | 0 1 0 1 1 0
( ... ..o   , ... ..o   , ... x..    )&#x & ♦ 0 2 2 0 | 0 0 0 0 0  0 1 4 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0  0 2 2 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * 2 * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 | 0 0 2 0 0 1
( ..o ..o   , ..o ..o   , oo. oo.&#x )&#x   ♦ 0 2 2 0 | 0 0 0 0 0  0 1 4 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 2 2 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * 4 * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 | 0 0 2 0 0 1
( ..o ...   , ... ...   , ox. ...&#x )&#x & ♦ 0 1 3 0 | 0 0 0 0 0  0 0 3 1 2 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0  0 1 0 2 1 0 0 0 0 | * * * * * * * * * * * * * * * * * * * 8 * * * | 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 | 0 1 1 0 0 1
( ... ...   , ... ...   , ox. xo.&#x )      ♦ 0 0 4 0 | 0 0 0 0 0  0 0 0 2 4 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0 0 4 0 0 0 0 | * * * * * * * * * * * * * * * * * * * * 1 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 | 0 2 0 0 0 1
( ... ...   , ... ...   , oxx ...&#x )    & ♦ 0 0 3 2 | 0 0 0 0 0  0 0 0 1 2 4 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0 0 1 2 1 1 0 | * * * * * * * * * * * * * * * * * * * * * 4 * | 0 0 0 2 0 0 0 0 0 0 0 0 0 0 1 | 0 2 1 0 0 0
( ... ...   , ... ...   , o.x x.x&#x )    & ♦ 0 0 2 4 | 0 0 0 0 0  0 0 0 1 0 4 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0 0 0 0 2 2 1 | * * * * * * * * * * * * * * * * * * * * * * 2 | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 | 0 2 0 0 1 0
--------------------------------------------+---------+--------------------------+----------------------------------------------+-----------------------------------------------+-------------------------------+------------
( xo. ox.&#x, xo. ox.&#x, ... ...    )&#x   ♦ 8 0 0 0 | 4 8 0 4 0  0 0 0 0 0 0 0 | 8 0 2 0 0 0 0 4 0 0 0 0 0  0 0 0 0 0 0 0 0 0 | 2 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * | 1 0 0 1 0 0
( xoo oxo&#x, ... ...   , ... ...    )    & ♦ 4 1 0 0 | 2 4 4 0 0  0 0 0 0 0 0 0 | 4 2 0 0 0 0 4 0 0 0 0 0 0  0 0 0 0 0 0 0 0 0 | 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * | 1 1 0 0 0 0
( xoo ...&#x, xoo ...&#x, ... ...    )&#x & ♦ 6 2 0 0 | 2 4 6 3 0  0 1 0 0 0 0 0 | 2 2 1 0 0 0 4 2 0 3 0 0 0  0 0 0 0 0 0 0 0 0 | 0 2 1 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 4 * * * * * * * * * * * * | 1 0 1 0 0 0
( xoo ...&#x, ... ...   , oxx ...&#x )&#x & ♦ 3 1 3 2 | 1 2 3 0 3  4 0 3 1 2 4 1 | 1 1 0 1 1 1 2 0 2 0 3 0 0  4 1 0 2 1 2 1 1 0 | 0 1 0 1 0 1 0 0 0 0 2 0 0 1 1 0 0 0 0 1 0 1 0 | * * * 8 * * * * * * * * * * * | 0 1 1 0 0 0
( xo. ox.&#x, ... ...   , ..x ..x    )&#x & ♦ 4 0 0 4 | 2 4 0 0 0  8 0 0 0 0 0 4 | 4 0 0 0 4 4 0 0 4 0 0 0 0  0 0 0 0 0 0 0 0 1 | 1 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 | * * * * 2 * * * * * * * * * * | 0 1 0 1 0 0
( xo. ...&#x, xo. ...&#x, ..x ...    )&#x & ♦ 6 0 0 2 | 2 4 0 3 0  8 0 0 0 0 0 1 | 2 0 1 0 2 2 0 2 4 0 0 0 4  0 0 0 0 0 0 0 0 0 | 0 0 1 2 0 0 0 1 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 4 * * * * * * * * * | 0 0 1 1 0 0
( x.o ...&#x, x.o ...&#x, .x. ...    )&#x & ♦ 4 2 2 0 | 2 0 4 2 4  0 1 4 1 0 0 0 | 0 2 1 2 0 0 0 0 0 2 4 2 0  0 2 2 0 0 0 0 0 0 | 0 0 0 0 1 2 1 0 0 0 0 0 2 0 0 0 0 1 0 0 0 0 0 | * * * * * * 2 * * * * * * * * | 0 0 2 0 0 0
( x.. o..   , x.. o..   , ..x ..x    )&#x & ♦ 4 0 0 4 | 2 0 0 2 0  8 0 0 0 0 0 4 | 0 0 1 0 4 4 0 0 0 0 0 0 4  0 0 0 0 0 0 0 0 1 | 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 | * * * * * * * 2 * * * * * * * | 0 0 0 1 1 0
( ooo ooo&#x, ooo ooo&#x, ooo ooo&#x )&#x   ♦ 4 2 2 1 | 0 2 4 2 4  4 1 4 0 1 2 0 | 0 0 0 0 0 0 2 1 2 2 4 2 2  4 0 2 2 0 1 0 0 0 | 0 0 0 0 0 0 0 0 0 1 2 1 2 0 0 2 0 0 1 0 0 0 0 | * * * * * * * * 4 * * * * * * | 0 0 2 0 0 0
( x.. ...   , x.. ...   , .xx ...&#x )&#x & ♦ 4 0 2 2 | 2 0 0 2 4  4 0 0 1 0 2 1 | 0 0 1 2 2 0 0 0 0 0 0 2 2  4 0 0 0 0 0 0 1 0 | 0 0 0 0 0 0 1 1 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 | * * * * * * * * * 4 * * * * * | 0 0 1 0 1 0
( ... o..   , ... o..   , ... .ox&#x )&#x & ♦ 2 0 1 2 | 0 0 0 1 2  4 0 0 0 0 2 1 | 0 0 0 0 0 2 0 0 0 0 0 1 2  4 0 0 0 0 0 1 0 0 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 2 0 0 0 0 0 0 0 | * * * * * * * * * * 4 * * * * | 0 0 1 0 1 0
( x.. o..   , ... ...   , .xx .ox&#x )&#x & ♦ 2 0 2 4 | 1 0 0 0 2  4 0 0 1 0 4 4 | 0 0 0 1 2 2 0 0 0 0 0 0 0  4 0 0 0 0 0 2 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 0 0 0 1 | * * * * * * * * * * * 4 * * * | 0 1 0 0 1 0
( ..o ...   , ..o ...   , ox. ...&#x )&#x & ♦ 0 2 3 0 | 0 0 0 0 0  0 1 6 1 2 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0  0 2 3 4 1 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 | * * * * * * * * * * * * 4 * * | 0 0 1 0 0 1
( ..o ..o   , ... ...   , ox. xo.&#x )&#x & ♦ 0 1 4 0 | 0 0 0 0 0  0 0 4 2 4 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0  0 2 0 4 4 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 | * * * * * * * * * * * * * 2 * | 0 1 0 0 0 1
( ... ...   , ... ...   , oxx xox&#x )      ♦ 0 0 4 4 | 0 0 0 0 0  0 0 0 2 4 8 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0  0 0 0 0 4 8 2 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 2 | * * * * * * * * * * * * * * 1 | 0 2 0 0 0 0
--------------------------------------------+---------+--------------------------+----------------------------------------------+-----------------------------------------------+-------------------------------+------------
( xoo oxo&#x, xoo oxo&#x, ... ...    )&#x   ♦ 8 2 0 0 | 4 8 8 4 0  0 1 0 0 0 0 0 | 8 4 2 0 0 0 8 4 0 4 0 0 0  0 0 0 0 0 0 0 0 0 | 2 8 4 0 2 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 4 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
( xoo oxo&#x, ... ...   , oxx xox&#x )&#x & ♦ 4 1 4 4 | 2 4 4 0 4  8 0 4 2 4 8 4 | 4 2 0 2 4 4 4 0 4 0 4 0 0  8 2 0 4 4 4 4 4 1 | 1 4 0 4 0 2 0 0 0 0 4 0 0 4 4 0 2 0 0 4 1 4 2 | 0 1 0 4 1 0 0 0 0 0 0 2 0 1 1 | * 2 * * * *
( xoo ...&#x, xoo ...&#x, oxx ...&#x )&#x & ♦ 6 2 3 2 | 2 4 6 3 6  8 1 6 1 2 4 1 | 2 2 1 2 2 2 4 2 4 3 6 3 4  8 2 3 4 1 2 1 1 0 | 0 2 1 2 1 2 1 1 1 2 4 2 3 2 2 4 0 1 2 2 0 1 0 | 0 0 1 2 0 1 1 0 2 1 1 0 1 0 0 | * * 4 * * *
( xo. ox.&#x, xo. ox.&#x, ..x ..x    )&#x   ♦ 8 0 0 4 | 4 8 0 4 0 16 0 0 0 0 0 4 | 8 0 2 0 8 8 0 4 8 0 0 0 8  0 0 0 0 0 0 0 0 1 | 2 0 4 8 0 0 0 4 4 0 0 4 0 0 0 0 4 0 0 0 0 0 0 | 1 0 0 0 2 4 0 2 0 0 0 0 0 0 0 | * * * 1 * *
( x.. o..   , x.. o..   , .xx .ox&#x )&#x & ♦ 4 0 2 4 | 2 0 0 2 4  8 0 0 1 0 4 4 | 0 0 1 2 4 4 0 0 0 0 0 2 4  8 0 0 0 0 0 2 2 1 | 0 0 0 0 0 0 1 2 2 0 0 0 0 4 4 4 2 0 0 0 0 0 1 | 0 0 0 0 0 0 0 1 0 2 2 2 0 0 0 | * * * * 2 *
( ..o ..o   , ..o ..o   , ox. xo.&#x )&#x   ♦ 0 2 4 0 | 0 0 0 0 0  0 1 8 2 4 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0  0 4 4 8 4 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 1 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 4 2 0 | * * * * * 1

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