Acronym | barz (old: drhio) | ||
Name |
birectified hecatonicosoctaexon, equatorial cross-section of rez-first bark | ||
Circumradius | sqrt(3/2) = 1.224745 | ||
Inradius wrt. bril | 3/sqrt(14) = 0.801784 | ||
Inradius wrt. rag | 1/sqrt(2) = 0.707107 | ||
Lace city in approx. ASCII-art |
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Coordinates | (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0) & all permutations, all changes of sign | ||
Volume | 656 sqrt(2)/315 = 2.945156 | ||
Surface | (406+302 sqrt(7))/45 = 26.778153 | ||
Dihedral angles
(at margins) | |||
Face vector | 280, 3360, 8960, 10640, 6048, 1428, 142 | ||
Confer |
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External links |
Incidence matrix according to Dynkin symbol
o3o3x3o3o3o4o . . . . . . . | 280 ♦ 24 | 24 72 | 8 72 96 | 24 96 48 | 32 48 3 | 16 3 --------------+-----+------+-----------+---------------+---------------+------------+------- . . x . . . . | 2 | 3360 | 2 6 | 1 12 12 | 6 24 8 | 12 16 1 | 8 2 --------------+-----+------+-----------+---------------+---------------+------------+------- . o3x . . . . | 3 | 3 | 2240 * | 1 6 0 | 6 12 0 | 12 8 0 | 8 1 . . x3o . . . | 3 | 3 | * 6720 | 0 2 4 | 1 8 4 | 4 8 1 | 4 2 --------------+-----+------+-----------+---------------+---------------+------------+------- o3o3x . . . . ♦ 4 | 6 | 4 0 | 560 * * ♦ 6 0 0 | 12 0 0 | 8 0 . o3x3o . . . ♦ 6 | 12 | 4 4 | * 3360 * | 1 4 0 | 4 4 0 | 4 1 . . x3o3o . . ♦ 4 | 6 | 0 4 | * * 6720 | 0 2 2 | 1 4 1 | 2 2 --------------+-----+------+-----------+---------------+---------------+------------+------- o3o3x3o . . . ♦ 10 | 30 | 20 10 | 5 5 0 | 672 * * | 4 0 0 | 4 0 . o3x3o3o . . ♦ 10 | 30 | 10 20 | 0 5 5 | * 2688 * | 1 2 0 | 2 1 . . x3o3o3o . ♦ 5 | 10 | 0 10 | 0 0 5 | * * 2688 | 0 2 1 | 1 2 --------------+-----+------+-----------+---------------+---------------+------------+------- o3o3x3o3o . . ♦ 20 | 90 | 60 60 | 15 30 15 | 6 6 0 | 448 * * | 2 0 . o3x3o3o3o . ♦ 15 | 60 | 20 60 | 0 15 30 | 0 6 6 | * 896 * | 1 1 . . x3o3o3o4o ♦ 10 | 40 | 0 80 | 0 0 80 | 0 0 32 | * * 84 | 0 2 --------------+-----+------+-----------+---------------+---------------+------------+------- o3o3x3o3o3o . ♦ 35 | 210 | 140 210 | 35 105 105 | 21 42 21 | 7 7 0 | 128 * . o3x3o3o3o4o ♦ 60 | 480 | 160 960 | 0 240 960 | 0 192 384 | 0 64 12 | * 14
o3o3x3o3o3o4/3o . . . . . . . | 280 ♦ 24 | 24 72 | 8 72 96 | 24 96 48 | 32 48 3 | 16 3 ----------------+-----+------+-----------+---------------+---------------+------------+------- . . x . . . . | 2 | 3360 | 2 6 | 1 12 12 | 6 24 8 | 12 16 1 | 8 2 ----------------+-----+------+-----------+---------------+---------------+------------+------- . o3x . . . . | 3 | 3 | 2240 * | 1 6 0 | 6 12 0 | 12 8 0 | 8 1 . . x3o . . . | 3 | 3 | * 6720 | 0 2 4 | 1 8 4 | 4 8 1 | 4 2 ----------------+-----+------+-----------+---------------+---------------+------------+------- o3o3x . . . . ♦ 4 | 6 | 4 0 | 560 * * ♦ 6 0 0 | 12 0 0 | 8 0 . o3x3o . . . ♦ 6 | 12 | 4 4 | * 3360 * | 1 4 0 | 4 4 0 | 4 1 . . x3o3o . . ♦ 4 | 6 | 0 4 | * * 6720 | 0 2 2 | 1 4 1 | 2 2 ----------------+-----+------+-----------+---------------+---------------+------------+------- o3o3x3o . . . ♦ 10 | 30 | 20 10 | 5 5 0 | 672 * * | 4 0 0 | 4 0 . o3x3o3o . . ♦ 10 | 30 | 10 20 | 0 5 5 | * 2688 * | 1 2 0 | 2 1 . . x3o3o3o . ♦ 5 | 10 | 0 10 | 0 0 5 | * * 2688 | 0 2 1 | 1 2 ----------------+-----+------+-----------+---------------+---------------+------------+------- o3o3x3o3o . . ♦ 20 | 90 | 60 60 | 15 30 15 | 6 6 0 | 448 * * | 2 0 . o3x3o3o3o . ♦ 15 | 60 | 20 60 | 0 15 30 | 0 6 6 | * 896 * | 1 1 . . x3o3o3o4/3o ♦ 10 | 40 | 0 80 | 0 0 80 | 0 0 32 | * * 84 | 0 2 ----------------+-----+------+-----------+---------------+---------------+------------+------- o3o3x3o3o3o . ♦ 35 | 210 | 140 210 | 35 105 105 | 21 42 21 | 7 7 0 | 128 * . o3x3o3o3o4/3o ♦ 60 | 480 | 160 960 | 0 240 960 | 0 192 384 | 0 64 12 | * 14
o3o3o *b3o3x3o3o . . . . . . . | 280 ♦ 24 | 72 24 | 96 72 8 | 24 24 96 24 | 3 24 24 32 | 3 8 8 -----------------+-----+------+-----------+---------------+--------------------+----------------+--------- . . . . x . . | 2 | 3360 | 6 2 | 12 12 1 | 4 4 24 6 | 1 8 8 12 | 2 4 4 -----------------+-----+------+-----------+---------------+--------------------+----------------+--------- . . . o3x . . | 3 | 3 | 6720 * | 4 2 0 | 2 2 8 1 | 1 4 4 4 | 2 2 2 . . . . x3o . | 3 | 3 | * 2240 | 0 6 1 | 0 0 12 6 | 0 4 4 12 | 1 4 4 -----------------+-----+------+-----------+---------------+--------------------+----------------+--------- . o . *b3o3x . . ♦ 4 | 6 | 4 0 | 6720 * * | 1 1 2 0 | 1 2 2 1 | 2 1 1 . . . o3x3o . ♦ 6 | 12 | 4 4 | * 3360 * | 0 0 4 1 | 0 2 2 4 | 1 2 2 . . . . x3o3o ♦ 4 | 6 | 0 4 | * * 560 ♦ 0 0 0 6 | 0 0 0 12 | 0 4 4 -----------------+-----+------+-----------+---------------+--------------------+----------------+--------- o3o . *b3o3x . . ♦ 5 | 10 | 10 0 | 5 0 0 | 1344 * * * | 1 2 0 0 | 2 1 0 . o3o *b3o3x . . ♦ 5 | 10 | 10 0 | 5 0 0 | * 1344 * * | 1 0 2 0 | 2 0 1 . o . *b3o3x3o . ♦ 10 | 30 | 20 10 | 5 5 0 | * * 2688 * | 0 1 1 1 | 1 1 1 . . . o3x3o3o ♦ 10 | 30 | 10 20 | 0 5 5 | * * * 672 | 0 0 0 4 | 0 2 2 -----------------+-----+------+-----------+---------------+--------------------+----------------+--------- o3o3o *b3o3x . . ♦ 10 | 40 | 80 0 | 80 0 0 | 16 16 0 0 | 84 * * * | 2 0 0 o3o . *b3o3x3o . ♦ 15 | 60 | 60 20 | 30 15 0 | 6 0 6 0 | * 448 * * | 1 1 0 . o3o *b3o3x3o . ♦ 15 | 60 | 60 20 | 30 15 0 | 0 6 6 0 | * * 448 * | 1 0 1 . o . *b3o3x3o3o ♦ 20 | 90 | 60 60 | 15 30 15 | 0 0 6 6 | * * * 448 | 0 1 1 -----------------+-----+------+-----------+---------------+--------------------+----------------+--------- o3o3o *b3o3x3o . ♦ 60 | 480 | 960 160 | 960 240 0 | 192 192 192 0 | 12 32 32 0 | 14 * * o3o . *b3o3x3o3o ♦ 35 | 210 | 210 140 | 105 105 35 | 21 0 42 21 | 0 7 0 7 | * 64 * . o3o *b3o3x3o3o ♦ 35 | 210 | 210 140 | 105 105 35 | 0 21 42 21 | 0 0 7 7 | * * 64
ooo3xox3oxo3ooo3ooo4ooo&#xt → both heights = 1/sqrt(2) = 0.707107 (rag || pseudo brag || rag) o..3o..3o..3o..3o..4o.. & | 120 * ♦ 16 8 0 | 8 48 16 24 0 0 | 24 64 8 48 32 0 0 0 | 32 32 24 64 16 0 0 | 16 2 32 32 1 0 | 1 16 2 .o.3.o.3.o.3.o.3.o.4.o. | * 160 ♦ 0 6 18 | 0 0 6 36 18 36 | 0 0 2 36 72 6 36 24 | 0 0 12 72 48 12 24 | 0 0 24 48 3 8 | 0 16 3 ------------------------------+---------+--------------+----------------------------+------------------------------------+-------------------------------+----------------------+--------- ... x.. ... ... ... ... & | 2 0 | 960 * * | 1 6 1 0 0 0 | 6 12 1 6 0 0 0 0 | 12 8 6 12 0 0 0 | 8 1 12 8 0 0 | 1 8 1 oo.3oo.3oo.3oo.3oo.4oo.&#x & | 1 1 | * 960 * | 0 0 2 6 0 0 | 0 0 1 12 12 0 0 0 | 0 0 6 24 8 0 0 | 0 0 12 16 1 0 | 0 8 2 ... ... .x. ... ... ... | 0 2 | * * 1440 | 0 0 0 2 2 4 | 0 0 0 4 8 1 8 4 | 0 0 2 16 8 4 8 | 0 0 8 16 1 4 | 0 8 2 ------------------------------+---------+--------------+----------------------------+------------------------------------+-------------------------------+----------------------+--------- o..3x.. ... ... ... ... & | 3 0 | 3 0 0 | 320 * * * * * | 6 0 1 0 0 0 0 0 | 12 0 6 0 0 0 0 | 8 0 12 0 0 0 | 1 8 0 ... x..3o.. ... ... ... & | 3 0 | 3 0 0 | * 1920 * * * * | 1 4 0 1 0 0 0 0 | 4 4 1 4 0 0 0 | 4 1 4 4 0 0 | 1 4 1 ... xo. ... ... ... ...&#x & | 2 1 | 1 2 0 | * * 960 * * * | 0 0 1 6 0 0 0 0 | 0 0 6 12 0 0 0 | 0 0 12 8 0 0 | 0 8 1 ... ... ox. ... ... ...&#x & | 1 2 | 0 2 1 | * * * 2880 * * | 0 0 0 2 4 0 0 0 | 0 0 1 8 4 0 0 | 0 0 4 8 1 0 | 0 4 2 ... .o.3.x. ... ... ... | 0 3 | 0 0 3 | * * * * 960 * | 0 0 0 2 0 1 4 0 | 0 0 2 8 0 4 4 | 0 0 8 8 0 4 | 0 8 1 ... ... .x.3.o. ... ... | 0 3 | 0 0 3 | * * * * * 1920 | 0 0 0 0 2 0 2 2 | 0 0 0 4 4 1 4 | 0 0 2 8 1 2 | 0 4 2 ------------------------------+---------+--------------+----------------------------+------------------------------------+-------------------------------+----------------------+--------- o..3x..3o.. ... ... ... & ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 | 480 * * * * * * * | 4 0 1 0 0 0 0 | 4 0 4 0 0 0 | 1 4 0 ... x..3o..3o.. ... ... & ♦ 4 0 | 6 0 0 | 0 4 0 0 0 0 | * 1920 * * * * * * | 1 2 0 1 0 0 0 | 2 1 1 2 0 0 | 1 2 1 oo.3xo. ... ... ... ...&#x & ♦ 3 1 | 3 3 0 | 1 0 3 0 0 0 | * * 320 * * * * * ♦ 0 0 6 0 0 0 0 | 0 0 12 0 0 0 | 0 8 0 ... xo.3ox. ... ... ...&#x & ♦ 3 3 | 3 6 3 | 0 1 3 3 1 0 | * * * 1920 * * * * | 0 0 1 4 0 0 0 | 0 0 4 4 0 0 | 0 4 1 ... ... ox.3oo. ... ...&#x & ♦ 1 3 | 0 3 3 | 0 0 0 3 0 1 | * * * * 3840 * * * | 0 0 0 2 2 0 0 | 0 0 1 4 1 0 | 0 2 2 .o.3.o.3.x. ... ... ... ♦ 0 4 | 0 0 6 | 0 0 0 0 4 0 | * * * * * 240 * * ♦ 0 0 2 0 0 4 0 | 0 0 8 0 0 4 | 0 8 0 ... .o.3.x.3.o. ... ... ♦ 0 6 | 0 0 12 | 0 0 0 0 4 4 | * * * * * * 960 * | 0 0 0 2 0 1 2 | 0 0 2 4 0 2 | 0 4 1 ... ... .x.3.o.3.o. ... ♦ 0 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * * * 960 | 0 0 0 0 2 0 2 | 0 0 0 4 1 1 | 0 2 2 ------------------------------+---------+--------------+----------------------------+------------------------------------+-------------------------------+----------------------+--------- o..3x..3o..3o.. ... ... & ♦ 10 0 | 30 0 0 | 10 20 0 0 0 0 | 5 5 0 0 0 0 0 0 | 384 * * * * * * | 2 0 1 0 0 0 | 1 2 0 ... x..3o..3o..3o.. ... & ♦ 5 0 | 10 0 0 | 0 10 0 0 0 0 | 0 5 0 0 0 0 0 0 | * 768 * * * * * | 1 1 0 1 0 0 | 1 1 1 oo.3xo.3ox. ... ... ...&#x & ♦ 6 4 | 12 12 6 | 4 4 12 6 4 0 | 1 0 4 4 0 1 0 0 | * * 480 * * * * | 0 0 4 0 0 0 | 0 4 0 ... xo.3ox.3oo. ... ...&#x & ♦ 4 6 | 6 12 12 | 0 4 6 12 4 4 | 0 1 0 4 4 0 1 0 | * * * 1920 * * * | 0 0 1 2 0 0 | 0 2 1 ... ... ox.3oo.3oo. ...&#x & ♦ 1 4 | 0 4 6 | 0 0 0 6 0 4 | 0 0 0 0 4 0 0 1 | * * * * 1920 * * | 0 0 0 2 1 0 | 0 1 2 .o.3.o.3.x.3.o. ... ... ♦ 0 10 | 0 0 30 | 0 0 0 0 20 10 | 0 0 0 0 0 5 5 0 | * * * * * 192 * | 0 0 2 0 0 2 | 0 4 0 ... .o.3.x.3.o.3.o. ... ♦ 0 10 | 0 0 30 | 0 0 0 0 10 20 | 0 0 0 0 0 0 5 5 | * * * * * * 384 | 0 0 0 2 0 1 | 0 2 1 ------------------------------+---------+--------------+----------------------------+------------------------------------+-------------------------------+----------------------+--------- o..3x..3o..3o..3o.. ... & ♦ 15 0 | 60 0 0 | 20 60 0 0 0 0 | 15 30 0 0 0 0 0 0 | 6 6 0 0 0 0 0 | 128 * * * * * | 1 1 0 ... x..3o..3o..3o..4o.. & ♦ 10 0 | 40 0 0 | 0 80 0 0 0 0 | 0 80 0 0 0 0 0 0 | 0 32 0 0 0 0 0 | * 24 * * * * | 1 0 1 oo.3xo.3ox.3oo. ... ...&#x & ♦ 10 10 | 30 30 30 | 10 20 30 30 20 10 | 5 5 10 20 10 5 5 0 | 1 0 5 5 0 1 0 | * * 384 * * * | 0 2 0 ... xo.3ox.3oo.3oo. ...&#x & ♦ 5 10 | 10 20 30 | 0 10 10 30 10 20 | 0 5 0 10 20 0 5 5 | 0 1 0 5 5 0 1 | * * * 768 * * | 0 1 1 ... ... oxo3ooo3ooo4ooo&#xt ♦ 2 8 | 0 16 24 | 0 0 0 48 0 32 | 0 0 0 0 64 0 0 16 | 0 0 0 0 32 0 0 | * * * * 60 * | 0 0 2 .o.3.o.3.x.3.o.3.o. ... ♦ 0 20 | 0 0 90 | 0 0 0 0 60 60 | 0 0 0 0 0 15 30 15 | 0 0 0 0 0 6 6 | * * * * * 64 | 0 2 0 ------------------------------+---------+--------------+----------------------------+------------------------------------+-------------------------------+----------------------+--------- o..3x..3o..3o..3o..4o.. & ♦ 60 0 | 480 0 0 | 160 960 0 0 0 0 | 240 960 0 0 0 0 0 0 | 192 384 0 0 0 0 0 | 64 12 0 0 0 0 | 2 * * oo.3xo.3ox.3oo.3oo. ...&#x & ♦ 15 20 | 60 60 90 | 20 60 60 90 60 60 | 15 30 20 60 60 15 30 15 | 6 6 15 30 15 6 6 | 1 0 6 6 0 1 | * 128 * ... xox3oxo3ooo3ooo4ooo&#xt ♦ 20 40 | 80 160 240 | 0 160 80 480 80 320 | 0 160 0 160 640 0 80 160 | 0 64 0 160 320 0 32 | 0 2 0 64 10 0 | * * 12
ooo3ooo3ooo *b3oxo3xox3ooo&#xt → both heights = 1/sqrt(2) = 0.707107 (rag || pseudo brag || rag) o..3o..3o.. *b3o..3o..3o.. & | 120 * ♦ 16 8 0 | 48 8 24 16 0 0 | 64 24 32 48 8 0 0 0 0 | 16 16 32 8 8 64 24 0 0 0 | 2 8 8 1 16 16 32 0 0 | 1 2 8 8 .o.3.o.3.o. *b3.o.3.o.3.o. | * 160 ♦ 0 6 18 | 0 0 36 6 36 18 | 0 0 72 36 2 12 12 36 6 | 0 0 0 24 24 72 12 12 12 12 | 0 0 0 3 24 24 24 4 4 | 0 3 8 8 ---------------------------------+---------+--------------+----------------------------+----------------------------------------+------------------------------------------+-------------------------------+----------- ... ... ... ... x.. ... & | 2 0 | 960 * * | 6 1 0 1 0 0 | 12 6 0 6 1 0 0 0 0 | 4 4 12 0 0 12 6 0 0 0 | 1 4 4 0 4 4 12 0 0 | 1 1 4 4 oo.3oo.3oo. *b3oo.3oo.3oo.&#x & | 1 1 | * 960 * | 0 0 6 2 0 0 | 0 0 12 12 1 0 0 0 0 | 0 0 0 4 4 24 6 0 0 0 | 0 0 0 1 8 8 12 0 0 | 0 2 4 4 ... ... ... .x. ... ... | 0 2 | * * 1440 | 0 0 2 0 4 2 | 0 0 8 4 0 2 2 8 1 | 0 0 0 4 4 16 2 4 4 4 | 0 0 0 1 8 8 8 2 2 | 0 2 4 4 ---------------------------------+---------+--------------+----------------------------+----------------------------------------+------------------------------------------+-------------------------------+----------- ... ... ... o..3x.. ... & | 3 0 | 3 0 0 | 1920 * * * * * | 4 1 0 1 0 0 0 0 0 | 2 2 4 0 0 4 1 0 0 0 | 1 2 2 0 2 2 4 0 0 | 1 1 2 2 ... ... ... ... x..3o.. & | 3 0 | 3 0 0 | * 320 * * * * | 0 6 0 0 1 0 0 0 0 | 0 0 12 0 0 0 6 0 0 0 | 0 4 4 0 0 0 12 0 0 | 1 0 4 4 ... ... ... ox. ... ...&#x & | 1 2 | 0 2 1 | * * 2880 * * * | 0 0 4 2 0 0 0 0 0 | 0 0 0 2 2 8 2 0 0 0 | 0 0 0 1 4 4 4 0 0 | 0 2 2 2 ... ... ... ... xo. ...&#x & | 2 1 | 1 2 0 | * * * 960 * * | 0 0 0 6 1 0 0 0 0 | 0 0 0 0 0 12 6 0 0 0 | 0 0 0 0 4 4 12 0 0 | 0 1 4 4 ... .o. ... *b3.x. ... ... | 0 3 | 0 0 3 | * * * * 1920 * | 0 0 2 0 0 1 1 2 0 | 0 0 0 2 2 4 0 2 2 1 | 0 0 0 1 4 4 2 1 1 | 0 2 2 2 ... ... ... .x.3.o. ... | 0 3 | 0 0 3 | * * * * * 960 | 0 0 0 2 0 0 0 4 1 | 0 0 0 0 0 8 2 2 2 4 | 0 0 0 0 4 4 8 2 2 | 0 1 4 4 ---------------------------------+---------+--------------+----------------------------+----------------------------------------+------------------------------------------+-------------------------------+----------- ... o.. ... *b3o..3x.. ... & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 0 | 1920 * * * * * * * * | 1 1 1 0 0 1 0 0 0 0 | 1 1 1 0 1 1 1 0 0 | 1 1 1 1 ... ... ... o..3x..3o.. & ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 | * 480 * * * * * * * | 0 0 4 0 0 0 1 0 0 0 | 0 2 2 0 0 0 4 0 0 | 1 0 2 2 ... oo. ... *b3ox. ... ...&#x & ♦ 1 3 | 0 3 3 | 0 0 3 0 1 0 | * * 3840 * * * * * * | 0 0 0 1 1 2 0 0 0 0 | 0 0 0 1 2 2 1 0 0 | 0 2 1 1 ... ... ... ox.3xo. ...&#x & ♦ 3 3 | 3 6 3 | 1 0 3 3 0 1 | * * * 1920 * * * * * | 0 0 0 0 0 4 1 0 0 0 | 0 0 0 0 2 2 4 0 0 | 0 1 2 2 ... ... ... ... xo.3oo.&#x & ♦ 3 1 | 3 3 0 | 0 1 0 3 0 0 | * * * * 320 * * * * ♦ 0 0 0 0 0 0 6 0 0 0 | 0 0 0 0 0 0 12 0 0 | 0 0 4 4 .o.3.o. ... *b3.x. ... ... ♦ 0 4 | 0 0 6 | 0 0 0 0 4 0 | * * * * * 480 * * * | 0 0 0 2 0 0 0 2 0 0 | 0 0 0 1 4 0 0 1 0 | 0 2 2 0 ... .o.3.o. *b3.x. ... ... ♦ 0 4 | 0 0 6 | 0 0 0 0 4 0 | * * * * * * 480 * * | 0 0 0 0 2 0 0 0 2 0 | 0 0 0 1 0 4 0 0 1 | 0 2 0 2 ... .o. ... *b3.x.3.o. ... ♦ 0 6 | 0 0 12 | 0 0 0 0 4 4 | * * * * * * * 960 * | 0 0 0 0 0 2 0 1 1 1 | 0 0 0 0 2 2 2 1 1 | 0 1 2 2 ... ... ... .x.3.o.3.o. ♦ 0 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * * * * 240 ♦ 0 0 0 0 0 0 2 0 0 4 | 0 0 0 0 0 0 8 2 2 | 0 0 4 4 ---------------------------------+---------+--------------+----------------------------+----------------------------------------+------------------------------------------+-------------------------------+----------- o..3o.. ... *b3o..3x.. ... & ♦ 5 0 | 10 0 0 | 10 0 0 0 0 0 | 5 0 0 0 0 0 0 0 0 | 384 * * * * * * * * * | 1 1 0 0 1 0 0 0 0 | 1 1 1 0 ... o..3o.. *b3o..3x.. ... & ♦ 5 0 | 10 0 0 | 10 0 0 0 0 0 | 5 0 0 0 0 0 0 0 0 | * 384 * * * * * * * * | 1 0 1 0 0 1 0 0 0 | 1 1 0 1 ... o.. ... *b3o..3x..3o.. & ♦ 10 0 | 30 0 0 | 20 10 0 0 0 0 | 5 5 0 0 0 0 0 0 0 | * * 384 * * * * * * * | 0 1 1 0 0 0 1 0 0 | 1 0 1 1 oo.3oo. ... *b3ox. ... ...&#x & ♦ 1 4 | 0 4 6 | 0 0 6 0 4 0 | 0 0 4 0 0 1 0 0 0 | * * * 960 * * * * * * | 0 0 0 1 2 0 0 0 0 | 0 2 1 0 ... oo.3oo. *b3ox. ... ...&#x & ♦ 1 4 | 0 4 6 | 0 0 6 0 4 0 | 0 0 4 0 0 0 1 0 0 | * * * * 960 * * * * * | 0 0 0 1 0 2 0 0 0 | 0 2 0 1 ... oo. ... *b3ox.3xo. ...&#x & ♦ 4 6 | 6 12 12 | 4 0 12 6 4 4 | 1 0 4 4 0 0 0 1 0 | * * * * * 1920 * * * * | 0 0 0 0 1 1 1 0 0 | 0 1 1 1 ... ... ... ox.3xo.3oo.&#x & ♦ 6 4 | 12 12 6 | 4 4 6 12 0 4 | 0 1 0 4 4 0 0 0 1 | * * * * * * 480 * * * | 0 0 0 0 0 0 4 0 0 | 0 0 2 2 .o.3.o. ... *b3.x.3.o. ... ♦ 0 10 | 0 0 30 | 0 0 0 0 20 10 | 0 0 0 0 0 5 0 5 0 | * * * * * * * 192 * * | 0 0 0 0 2 0 0 1 0 | 0 1 2 0 ... .o.3.o. *b3.x.3.o. ... ♦ 0 10 | 0 0 30 | 0 0 0 0 20 10 | 0 0 0 0 0 0 5 5 0 | * * * * * * * * 192 * | 0 0 0 0 0 2 0 0 1 | 0 1 0 2 ... .o. ... *b3.x.3.o.3.o. ♦ 0 10 | 0 0 30 | 0 0 0 0 10 20 | 0 0 0 0 0 0 0 5 5 | * * * * * * * * * 192 | 0 0 0 0 0 0 2 1 1 | 0 0 2 2 ---------------------------------+---------+--------------+----------------------------+----------------------------------------+------------------------------------------+-------------------------------+----------- o..3o..3o.. *b3o..3x.. ... & ♦ 10 0 | 40 0 0 | 80 0 0 0 0 0 | 80 0 0 0 0 0 0 0 0 | 16 16 0 0 0 0 0 0 0 0 | 24 * * * * * * * * | 1 1 0 0 o..3o.. ... *b3o..3x..3o.. & ♦ 15 0 | 60 0 0 | 60 20 0 0 0 0 | 30 15 0 0 0 0 0 0 0 | 6 0 6 0 0 0 0 0 0 0 | * 64 * * * * * * * | 1 0 1 0 ... o..3o.. *b3o..3x..3o.. & ♦ 15 0 | 60 0 0 | 60 20 0 0 0 0 | 30 15 0 0 0 0 0 0 0 | 0 6 6 0 0 0 0 0 0 0 | * * 64 * * * * * * | 1 0 0 1 ooo3ooo3ooo *b3oxo ... ...&#xt ♦ 2 8 | 0 16 24 | 0 0 48 0 32 0 | 0 0 64 0 0 8 8 0 0 | 0 0 0 16 16 0 0 0 0 0 | * * * 60 * * * * * | 0 2 0 0 oo.3oo. ... *b3ox.3xo. ...&#x & ♦ 5 10 | 10 20 30 | 10 0 30 10 20 10 | 5 0 20 10 0 5 0 5 0 | 1 0 0 5 0 5 0 1 0 0 | * * * * 384 * * * * | 0 1 1 0 ... oo.3oo. *b3ox.3xo. ...&#x & ♦ 5 10 | 10 20 30 | 10 0 30 10 20 10 | 5 0 20 10 0 0 5 5 0 | 0 1 0 0 5 5 0 0 1 0 | * * * * * 384 * * * | 0 1 0 1 ... oo. ... *b3ox.3xo.3oo.&#x & ♦ 10 10 | 30 30 30 | 20 10 30 30 10 20 | 5 5 10 20 10 0 0 5 5 | 0 0 1 0 0 5 5 0 0 1 | * * * * * * 384 * * | 0 0 1 1 .o.3.o. ... *b3.x.3.o.3.o. ♦ 0 20 | 0 0 90 | 0 0 0 0 60 60 | 0 0 0 0 0 15 0 30 15 | 0 0 0 0 0 0 0 6 0 6 | * * * * * * * 32 * | 0 0 2 0 ... .o.3.o. *b3.x.3.o.3.o. ♦ 0 20 | 0 0 90 | 0 0 0 0 60 60 | 0 0 0 0 0 0 15 30 15 | 0 0 0 0 0 0 0 0 6 6 | * * * * * * * * 32 | 0 0 0 2 ---------------------------------+---------+--------------+----------------------------+----------------------------------------+------------------------------------------+-------------------------------+----------- o..3o..3o.. *b3o..3x..3o.. & ♦ 60 0 | 480 0 0 | 960 160 0 0 0 0 | 960 240 0 0 0 0 0 0 0 | 192 192 192 0 0 0 0 0 0 0 | 12 32 32 0 0 0 0 0 0 | 2 * * * ooo3ooo3ooo *b3oxo3xox ...&#xt ♦ 20 40 | 80 160 240 | 160 0 480 80 320 80 | 160 0 640 160 0 80 80 80 0 | 32 32 0 160 160 160 0 16 16 0 | 2 0 0 10 32 32 0 0 0 | * 12 * * oo.3oo. ... *b3ox.3xo.3oo.&#x & ♦ 15 20 | 60 60 90 | 60 20 90 60 60 60 | 30 15 60 60 20 15 0 30 15 | 6 0 6 15 0 30 15 6 0 6 | 0 1 0 0 6 0 6 1 0 | * * 64 * ... oo.3oo. *b3ox.3xo.3oo.&#x & ♦ 15 20 | 60 60 90 | 60 20 90 60 60 60 | 30 15 60 60 20 0 15 30 15 | 0 6 6 0 15 30 15 0 6 6 | 0 0 1 0 0 6 6 0 1 | * * * 64
ooxo3oxoo3xooo3ooox3ooxo3oxoo&#xt → all heights = sqrt(2/7) = 0.534522 (bril || pseudo inv. scal || pseudo scal || inv. bril) ...
oxo4ooq oox3oxo3xoo3ooo4ooo&#zx → height = 0 (tegum sum of nit, squarat, and (q-square,tac)-dip) o..4o.. o..3o..3o..3o..4o.. | 80 * * ♦ 12 12 0 0 0 0 | 12 12 12 12 48 0 0 0 0 0 0 | 4 12 12 48 4 48 48 0 0 0 0 0 0 | 4 4 48 48 16 48 0 0 0 0 | 3 16 48 16 0 0 0 | 3 16 0 .o.4.o. .o.3.o.3.o.3.o.4.o. | * 160 * ♦ 0 6 2 12 4 0 | 0 0 12 12 12 6 24 4 2 24 0 | 0 0 24 24 6 24 8 12 16 2 12 48 0 | 0 12 48 16 12 16 8 24 32 0 | 1 24 32 8 2 16 0 | 2 16 1 ..o4..o ..o3..o3..o3..o4..o | * * 40 ♦ 0 0 0 0 16 8 | 0 0 0 0 0 0 0 8 16 48 24 | 0 0 24 0 0 0 0 0 0 8 48 64 32 | 0 24 32 0 0 0 0 64 32 16 | 0 32 16 0 2 32 1 | 1 16 2 --------------------------------+-----------+-------------------------+------------------------------------------------+--------------------------------------------------------+-------------------------------------------+-------------------------+--------- ... ... ... ... x.. ... ... | 2 0 0 | 480 * * * * * | 2 2 0 0 4 0 0 0 0 0 0 | 1 4 0 4 0 8 8 0 0 0 0 0 0 | 2 0 8 8 4 16 0 0 0 0 | 1 4 16 8 0 0 0 | 2 8 0 oo.4oo. oo.3oo.3oo.3oo.4oo.&#x | 1 1 0 | * 960 * * * * | 0 0 2 2 4 0 0 0 0 0 0 | 0 0 4 8 1 8 4 0 0 0 0 0 0 | 0 2 16 8 4 8 0 0 0 0 | 1 8 16 4 0 0 0 | 2 8 0 .x. ... ... ... ... ... ... | 0 2 0 | * * 160 * * * | 0 0 6 0 0 0 0 2 0 0 0 | 0 0 12 12 0 0 0 0 0 1 0 0 0 | 0 6 24 8 0 0 0 0 0 0 | 1 12 16 0 0 0 0 | 2 8 0 ... ... ... .x. ... ... ... | 0 2 0 | * * * 960 * * | 0 0 0 1 0 1 4 0 0 2 0 | 0 0 2 0 1 4 0 4 4 0 2 8 0 | 0 2 8 0 4 4 4 8 8 0 | 0 8 8 4 1 8 0 | 1 8 1 .oo4.oo .oo3.oo3.oo3.oo4.oo&#x | 0 1 1 | * * * * 640 * | 0 0 0 0 0 0 0 1 1 6 0 | 0 0 6 0 0 0 0 0 0 1 6 12 0 | 0 6 12 0 0 0 0 12 8 0 | 0 12 8 0 1 8 0 | 1 8 1 ... ... ..x ... ... ... ... | 0 0 2 | * * * * * 160 | 0 0 0 0 0 0 0 0 2 0 6 | 0 0 0 0 0 0 0 0 0 1 12 0 12 | 0 6 0 0 0 0 0 24 0 8 | 0 12 0 0 0 16 1 | 0 8 2 --------------------------------+-----------+-------------------------+------------------------------------------------+--------------------------------------------------------+-------------------------------------------+-------------------------+--------- ... ... ... o..3x.. ... ... | 3 0 0 | 3 0 0 0 0 0 | 320 * * * * * * * * * * | 1 2 0 0 0 4 0 0 0 0 0 0 0 | 2 0 4 0 4 8 0 0 0 0 | 0 4 8 8 0 0 0 | 1 8 0 ... ... ... ... x..3o.. ... | 3 0 0 | 3 0 0 0 0 0 | * 320 * * * * * * * * * | 0 2 0 0 0 0 4 0 0 0 0 0 0 | 1 0 0 4 0 8 0 0 0 0 | 1 0 8 4 0 0 0 | 2 4 0 ox. ... ... ... ... ... ...&#x | 1 2 0 | 0 2 1 0 0 0 | * * 960 * * * * * * * * | 0 0 2 4 0 0 0 0 0 0 0 0 0 | 0 1 8 4 0 0 0 0 0 0 | 1 4 8 0 0 0 0 | 2 4 0 ... ... ... ox. ... ... ...&#x | 1 2 0 | 0 2 0 1 0 0 | * * * 960 * * * * * * * | 0 0 2 0 1 4 0 0 0 0 0 0 0 | 0 2 8 0 4 4 0 0 0 0 | 0 8 8 4 0 0 0 | 1 8 0 ... ... ... ... xo. ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | * * * * 1920 * * * * * * | 0 0 0 2 0 2 2 0 0 0 0 0 0 | 0 0 4 4 1 4 0 0 0 0 | 1 2 8 2 0 0 0 | 2 4 0 ... ... .o.3.x. ... ... ... | 0 3 0 | 0 0 0 3 0 0 | * * * * * 320 * * * * * | 0 0 0 0 1 0 0 4 0 0 2 0 0 | 0 2 0 0 4 0 4 8 0 0 | 0 8 0 4 0 8 0 | 0 8 1 ... ... ... .x.3.o. ... ... | 0 3 0 | 0 0 0 3 0 0 | * * * * * * 1280 * * * * | 0 0 0 0 0 1 0 1 2 0 0 2 0 | 0 0 2 0 1 2 2 2 4 0 | 0 2 4 2 1 4 0 | 1 4 1 .xo ... ... ... ... ... ...&#x | 0 2 1 | 0 0 1 0 2 0 | * * * * * * * 320 * * * | 0 0 6 0 0 0 0 0 0 1 0 0 0 | 0 6 12 0 0 0 0 0 0 0 | 0 12 8 0 0 0 0 | 1 8 0 ... ... .ox ... ... ... ...&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * * * * * 320 * * | 0 0 0 0 0 0 0 0 0 1 6 0 0 | 0 6 0 0 0 0 0 12 0 0 | 0 12 0 0 0 8 0 | 0 8 1 ... ... ... .xo ... ... ...&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * * * * * 1920 * | 0 0 1 0 0 0 0 0 0 0 1 4 0 | 0 1 4 0 0 0 0 4 4 0 | 0 4 4 0 1 4 0 | 1 4 1 ... ... ..x3..o ... ... ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * * * 320 | 0 0 0 0 0 0 0 0 0 0 2 0 4 | 0 1 0 0 0 0 0 8 0 4 | 0 4 0 0 0 8 1 | 0 4 2 --------------------------------+-----------+-------------------------+------------------------------------------------+--------------------------------------------------------+-------------------------------------------+-------------------------+--------- ... ... o..3o..3x.. ... ... ♦ 4 0 0 | 6 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 | 80 * * * * * * * * * * * * ♦ 2 0 0 0 4 0 0 0 0 0 | 0 4 0 8 0 0 0 | 0 8 0 ... ... ... o..3x..3o.. ... ♦ 6 0 0 | 12 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 | * 160 * * * * * * * * * * * | 1 0 0 0 0 4 0 0 0 0 | 0 0 4 4 0 0 0 | 1 4 0 oxo ... ... oxo ... ... ...&#xt ♦ 1 4 1 | 0 4 2 2 4 0 | 0 0 2 2 0 0 0 2 0 2 0 | * * 960 * * * * * * * * * * | 0 1 4 0 0 0 0 0 0 0 | 0 4 4 0 0 0 0 | 1 4 0 ox. ... ... ... xo. ... ...&#x ♦ 2 2 0 | 1 4 1 0 0 0 | 0 0 2 0 2 0 0 0 0 0 0 | * * * 1920 * * * * * * * * * | 0 0 2 2 0 0 0 0 0 0 | 1 1 4 0 0 0 0 | 2 2 0 ... ... oo.3ox. ... ... ...&#x ♦ 1 3 0 | 0 3 0 3 0 0 | 0 0 0 3 0 1 0 0 0 0 0 | * * * * 320 * * * * * * * * ♦ 0 2 0 0 4 0 0 0 0 0 | 0 8 0 4 0 0 0 | 0 8 0 ... ... ... ox.3xo. ... ...&#x ♦ 3 3 0 | 3 6 0 3 0 0 | 1 0 0 3 3 0 1 0 0 0 0 | * * * * * 1280 * * * * * * * | 0 0 2 0 1 2 0 0 0 0 | 0 2 4 2 0 0 0 | 1 4 0 ... ... ... ... xo.3oo. ...&#x ♦ 3 1 0 | 3 3 0 0 0 0 | 0 1 0 0 3 0 0 0 0 0 0 | * * * * * * 1280 * * * * * * | 0 0 0 2 0 2 0 0 0 0 | 1 0 4 1 0 0 0 | 2 2 0 ... ... .o.3.x.3.o. ... ... ♦ 0 6 0 | 0 0 0 12 0 0 | 0 0 0 0 0 4 4 0 0 0 0 | * * * * * * * 320 * * * * * | 0 0 0 0 1 0 2 2 0 0 | 0 2 0 2 0 4 0 | 0 4 1 ... ... ... .x.3.o.3.o. ... ♦ 0 4 0 | 0 0 0 6 0 0 | 0 0 0 0 0 0 4 0 0 0 0 | * * * * * * * * 640 * * * * | 0 0 0 0 0 1 1 0 2 0 | 0 0 2 1 1 2 0 | 1 2 1 .xo ... .ox ... ... ... ...&#x ♦ 0 2 2 | 0 0 1 0 4 1 | 0 0 0 0 0 0 0 2 2 0 0 | * * * * * * * * * 160 * * * ♦ 0 6 0 0 0 0 0 0 0 0 | 0 12 0 0 0 0 0 | 0 8 0 ... ... .ox3.xo ... ... ...&#x ♦ 0 3 3 | 0 0 0 3 6 3 | 0 0 0 0 0 1 0 0 3 3 1 | * * * * * * * * * * 640 * * | 0 1 0 0 0 0 0 4 0 0 | 0 4 0 0 0 4 0 | 0 4 1 ... ... ... .xo3.oo ... ...&#x ♦ 0 3 1 | 0 0 0 3 3 0 | 0 0 0 0 0 0 1 0 0 3 0 | * * * * * * * * * * * 2560 * | 0 0 1 0 0 0 0 1 2 0 | 0 1 2 0 1 2 0 | 1 2 1 ... ... ..x3..o3..o ... ... ♦ 0 0 4 | 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * 320 | 0 0 0 0 0 0 0 2 0 2 | 0 1 0 0 0 4 1 | 0 2 2 --------------------------------+-----------+-------------------------+------------------------------------------------+--------------------------------------------------------+-------------------------------------------+-------------------------+--------- ... ... o..3o..3x..3o.. ... ♦ 10 0 0 | 30 0 0 0 0 0 | 20 10 0 0 0 0 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 0 0 0 0 | 32 * * * * * * * * * | 0 0 0 4 0 0 0 | 0 4 0 oxo ... oox3oxo ... ... ...&#xt ♦ 1 6 3 | 0 6 3 6 12 3 | 0 0 3 6 0 2 0 6 6 6 1 | 0 0 3 0 2 0 0 0 0 3 2 0 0 | * 320 * * * * * * * * | 0 4 0 0 0 0 0 | 0 4 0 oxo ... ... oxo3xoo ... ...&#xt ♦ 3 6 1 | 3 12 3 6 6 0 | 1 0 6 6 6 0 2 3 0 6 0 | 0 0 3 3 0 2 0 0 0 0 0 2 0 | * * 1280 * * * * * * * | 0 1 2 0 0 0 0 | 1 2 0 ox. ... ... ... xo.3oo. ...&#x ♦ 3 2 0 | 3 6 1 0 0 0 | 0 1 3 0 6 0 0 0 0 0 0 | 0 0 0 3 0 0 2 0 0 0 0 0 0 | * * * 1280 * * * * * * | 1 0 2 0 0 0 0 | 2 1 0 ... ... oo.3ox.3xo. ... ...&#x ♦ 4 6 0 | 6 12 0 12 0 0 | 4 0 0 12 6 4 4 0 0 0 0 | 1 0 0 0 4 4 0 1 0 0 0 0 0 | * * * * 320 * * * * * | 0 2 0 2 0 0 0 | 0 4 0 ... ... ... ox.3xo.3oo. ...&#x ♦ 6 4 0 | 12 12 0 6 0 0 | 4 4 0 6 12 0 4 0 0 0 0 | 0 1 0 0 0 4 4 0 1 0 0 0 0 | * * * * * 640 * * * * | 0 0 2 1 0 0 0 | 1 2 0 ... ... .o.3.x.3.o.3.o. ... ♦ 0 10 0 | 0 0 0 30 0 0 | 0 0 0 0 0 10 20 0 0 0 0 | 0 0 0 0 0 0 0 5 5 0 0 0 0 | * * * * * * 128 * * * | 0 0 0 1 0 2 0 | 0 2 1 ... ... .ox3.xo3.oo ... ...&#x ♦ 0 6 4 | 0 0 0 12 12 6 | 0 0 0 0 0 4 4 0 6 12 4 | 0 0 0 0 0 0 0 1 0 0 4 4 1 | * * * * * * * 640 * * | 0 1 0 0 0 2 0 | 0 2 1 ... ... ... .xo3.oo3.oo ...&#x ♦ 0 4 1 | 0 0 0 6 4 0 | 0 0 0 0 0 0 4 0 0 6 0 | 0 0 0 0 0 0 0 0 1 0 0 4 0 | * * * * * * * * 1280 * | 0 0 1 0 1 1 0 | 1 1 1 ... ... ..x3..o3..o3..o ... ♦ 0 0 5 | 0 0 0 0 0 10 | 0 0 0 0 0 0 0 0 0 0 10 | 0 0 0 0 0 0 0 0 0 0 0 0 5 | * * * * * * * * * 128 | 0 0 0 0 0 2 1 | 0 1 2 --------------------------------+-----------+-------------------------+------------------------------------------------+--------------------------------------------------------+-------------------------------------------+-------------------------+--------- ox.4oo. ... ... xo.3oo.4oo.&#zx ♦ 6 4 0 | 12 24 4 0 0 0 | 0 8 24 0 48 0 0 0 0 0 0 | 0 0 0 48 0 0 32 0 0 0 0 0 0 | 0 0 0 32 0 0 0 0 0 0 | 40 * * * * * * | 2 0 0 oxo ... oox3oxo3xoo ... ...&#xt ♦ 4 12 4 | 6 24 6 24 24 6 | 4 0 12 24 12 8 8 12 12 24 4 | 1 0 12 6 8 8 0 2 0 6 8 8 1 | 0 4 4 0 2 0 0 2 0 0 | * 320 * * * * * | 0 2 0 oxo ... ... oxo3xoo3ooo ...&#xt ♦ 6 8 1 | 12 24 4 12 8 0 | 4 4 12 12 24 0 8 4 0 12 0 | 0 1 6 12 0 8 8 0 2 0 0 8 0 | 0 0 4 4 0 2 0 0 2 0 | * * 640 * * * * | 1 1 0 ... ... oo.3ox.3xo.3oo. ...&#x ♦ 10 10 0 | 30 30 0 30 0 0 | 20 10 0 30 30 10 20 0 0 0 0 | 5 5 0 0 10 20 10 5 5 0 0 0 0 | 1 0 0 0 5 5 1 0 0 0 | * * * 128 * * * | 0 2 0 ... .oq ... .xo3.oo3.oo4.oo&#x ♦ 0 8 2 | 0 0 0 24 16 0 | 0 0 0 0 0 0 32 0 0 48 0 | 0 0 0 0 0 0 0 0 16 0 0 64 0 | 0 0 0 0 0 0 0 0 32 0 | * * * * 40 * * | 1 0 1 ... ... .ox3.xo3.oo3.oo ...&#x ♦ 0 10 5 | 0 0 0 30 20 10 | 0 0 0 0 0 10 20 0 10 30 10 | 0 0 0 0 0 0 0 5 5 0 10 20 5 | 0 0 0 0 0 0 1 5 5 1 | * * * * * 256 * | 0 1 1 ... ... ..x3..o3..o3..o4..o ♦ 0 0 10 | 0 0 0 0 0 40 | 0 0 0 0 0 0 0 0 0 0 80 | 0 0 0 0 0 0 0 0 0 0 0 0 80 | 0 0 0 0 0 0 0 0 0 32 | * * * * * * 4 | 0 0 2 --------------------------------+-----------+-------------------------+------------------------------------------------+--------------------------------------------------------+-------------------------------------------+-------------------------+--------- oxo4ooq ... oxo3xoo3ooo4ooo&#zx ♦ 24 32 4 | 96 192 32 96 64 0 | 32 64 192 96 384 0 128 32 0 192 0 | 0 16 96 384 0 128 256 0 64 0 0 256 0 | 0 0 128 256 0 64 0 0 128 0 | 8 0 64 0 4 0 0 | 10 * * oxo ... oox3oxo3xoo3ooo ...&#xt ♦ 10 20 5 | 30 60 10 60 40 10 | 20 10 30 60 60 20 40 20 20 60 10 | 5 5 30 30 20 40 20 10 10 10 20 40 5 | 1 10 20 10 10 10 2 10 10 1 | 0 5 5 2 0 2 0 | * 128 * ... .oq .ox3.xo3.oo3.oo4.oo&#zx ♦ 0 40 20 | 0 0 0 240 160 80 | 0 0 0 0 0 80 320 0 80 480 160 | 0 0 0 0 0 0 0 80 160 0 160 640 160 | 0 0 0 0 0 0 32 160 320 64 | 0 0 0 0 10 64 2 | * * 4
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