| Acronym | naq |
| Name |
hecatonicosihexapentacosiheptacontihexaexon, Gosset polyexon 31,2 |
| Circumradius | sqrt(3)/2 = 0.866025 |
|
Lace city in approx. ASCII-art |
o o o = o3o3o *b3o3o (pt)
+ # = o3o3o *b3o3x (tac)
# # + = x3o3o *b3o3o (hin)
- - = o3o3x *b3o3o (alternate hin)
o o
|
+ -
+ = x3o3o3o3o (hix)
- # + - = o3o3o3o3x (inv hix)
# = o3o3x3o3o (dot)
+ -
| |
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External links |
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Incidence matrix according to Dynkin symbol
o3o3o3o *c3o3o3x . . . . . . . | 56 ♦ 27 | 216 | 720 | 1080 | 432 216 | 72 27 -----------------+----+-----+------+-------+-------+-----------+-------- . . . . . . x | 2 | 756 ♦ 16 | 80 | 160 | 80 40 | 16 10 -----------------+----+-----+------+-------+-------+-----------+-------- . . . . . o3x | 3 | 3 | 4032 ♦ 10 | 30 | 20 10 | 5 5 -----------------+----+-----+------+-------+-------+-----------+-------- . . . . o3o3x ♦ 4 | 6 | 4 | 10080 ♦ 6 | 6 3 | 2 3 -----------------+----+-----+------+-------+-------+-----------+-------- . . o . *c3o3o3x ♦ 5 | 10 | 10 | 5 | 12096 | 2 1 | 1 2 -----------------+----+-----+------+-------+-------+-----------+-------- . o3o . *c3o3o3x ♦ 6 | 15 | 20 | 15 | 6 | 4032 * | 1 1 . . o3o *c3o3o3x ♦ 6 | 15 | 20 | 15 | 6 | * 2016 | 0 2 -----------------+----+-----+------+-------+-------+-----------+-------- o3o3o . *c3o3o3x ♦ 7 | 21 | 35 | 35 | 21 | 10 0 | 576 * . o3o3o *c3o3o3x ♦ 12 | 60 | 160 | 240 | 192 | 32 32 | * 126
oxo3ooo3ooo *b3ooo3ooo3xox&#xt → both heights = 1/2 (gee || pseudo hax || gee) o..3o..3o.. *b3o..3o..3o.. & | 24 * ♦ 10 16 1 0 | 40 80 80 16 0 | 80 160 240 160 80 0 0 | 80 40 80 320 240 160 160 0 | 16 16 16 80 80 160 80 80 40 80 0 | 1 40 16 16 10 16 .o.3.o.3.o. *b3.o.3.o.3.o. | * 32 ♦ 0 12 0 15 | 0 120 30 6 60 | 0 360 180 40 60 20 60 | 0 120 240 360 120 30 180 30 | 0 0 60 120 120 120 30 12 60 120 6 | 0 40 12 2 15 30 ---------------------------------+-------+----------------+----------------------+--------------------------------+-------------------------------------+-------------------------------------------+------------------- ... ... ... ... ... x.. & | 2 0 | 120 * * * ♦ 8 0 8 0 0 | 24 0 24 32 0 0 0 | 32 0 0 32 48 48 0 0 | 8 8 0 8 8 32 24 32 0 0 0 | 1 8 8 8 1 0 oo.3oo.3oo. *b3oo.3oo.3oo.&#x & | 1 1 | * 384 * * ♦ 0 10 5 1 0 | 0 30 30 10 10 0 0 | 0 10 20 60 30 10 30 0 | 0 0 5 20 20 30 10 5 10 20 0 | 0 10 5 1 5 5 o.o3o.o3o.o *b3o.o3o.o3o.o&#x & | 2 0 | * * 12 * ♦ 0 0 0 16 0 | 0 0 0 0 80 0 0 | 0 0 0 0 0 0 160 0 | 0 0 0 0 0 0 0 0 40 80 0 | 0 0 0 0 10 16 .x. ... ... ... ... ... | 0 2 | * * * 240 ♦ 0 8 0 0 8 | 0 48 12 0 4 4 12 | 0 24 48 48 8 0 24 8 | 0 0 16 24 24 16 2 0 12 24 2 | 0 8 4 0 6 8 ---------------------------------+-------+----------------+----------------------+--------------------------------+-------------------------------------+-------------------------------------------+------------------- ... ... ... ... o..3x.. & | 3 0 | 3 0 0 0 | 320 * * * * ♦ 6 0 0 4 0 0 0 | 12 0 0 0 6 12 0 0 | 4 4 0 0 0 4 6 12 0 0 0 | 1 1 4 4 0 0 ox. ... ... ... ... ...&#x & | 1 2 | 0 2 0 1 | * 1920 * * * ♦ 0 6 3 0 1 0 0 | 0 3 6 12 3 0 6 0 | 0 0 2 6 6 6 1 0 3 6 0 | 0 3 2 0 3 2 ... ... ... ... ... xo.&#x & | 2 1 | 1 2 0 0 | * * 960 * * ♦ 0 0 6 4 0 0 0 | 0 0 0 12 12 6 0 0 | 0 0 0 4 4 12 6 4 0 0 0 | 0 4 4 1 1 0 ooo3ooo3ooo *b3ooo3ooo3ooo&#x & | 2 1 | 0 2 1 0 | * * * 192 * ♦ 0 0 0 0 10 0 0 | 0 0 0 0 0 0 30 0 | 0 0 0 0 0 0 0 0 10 20 0 | 0 0 0 0 5 5 .x.3.o. ... ... ... ... | 0 3 | 0 0 0 3 | * * * * 640 ♦ 0 6 0 0 0 1 3 | 0 6 12 6 0 0 3 3 | 0 0 6 6 6 2 0 0 3 6 1 | 0 2 2 0 3 3 ---------------------------------+-------+----------------+----------------------+--------------------------------+-------------------------------------+-------------------------------------------+------------------- ... ... ... o..3o..3x.. & ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 | 480 * * * * * * ♦ 4 0 0 0 0 2 0 0 | 2 2 0 0 0 0 1 4 0 0 0 | 1 0 2 2 0 0 ox.3oo. ... ... ... ...&#x & ♦ 1 3 | 0 3 0 3 | 0 3 0 0 1 | * 3840 * * * * * ♦ 0 1 2 2 0 0 1 0 | 0 0 1 2 2 1 0 0 1 2 0 | 0 1 1 0 2 1 ox. ... ... ... ... xo.&#x & ♦ 2 2 | 1 4 0 1 | 0 2 2 0 0 | * * 2880 * * * * ♦ 0 0 0 4 2 0 0 0 | 0 0 0 2 2 4 1 0 0 0 0 | 0 2 2 0 1 0 ... ... ... ... oo.3xo.&#x & ♦ 3 1 | 3 3 0 0 | 1 0 3 0 0 | * * * 1280 * * * ♦ 0 0 0 0 3 3 0 0 | 0 0 0 0 0 3 3 3 0 0 0 | 0 1 3 1 0 0 oxo ... ... ... ... ...&#x ♦ 2 2 | 0 4 1 1 | 0 2 0 2 0 | * * * * 960 * * ♦ 0 0 0 0 0 0 6 0 | 0 0 0 0 0 0 0 0 3 6 0 | 0 0 0 0 3 2 .x.3.o.3.o. ... ... ... ♦ 0 4 | 0 0 0 6 | 0 0 0 0 4 | * * * * * 160 * ♦ 0 6 0 0 0 0 0 0 | 0 0 0 6 0 0 0 0 3 0 0 | 0 2 0 0 3 0 .x.3.o. ... *b3.o. ... ... ♦ 0 4 | 0 0 0 6 | 0 0 0 0 4 | * * * * * * 480 ♦ 0 0 4 0 0 0 0 2 | 0 0 4 0 2 0 0 0 0 2 1 | 0 0 2 0 1 2 ---------------------------------+-------+----------------+----------------------+--------------------------------+-------------------------------------+-------------------------------------------+------------------- ... o.. ... *b3o..3o..3x.. & ♦ 5 0 | 10 0 0 0 | 10 0 0 0 0 | 5 0 0 0 0 0 0 | 384 * * * * * * * | 1 1 0 0 0 0 0 1 0 0 0 | 1 0 1 1 0 0 ox.3oo.3oo. ... ... ...&#x & ♦ 1 4 | 0 4 0 6 | 0 6 0 0 4 | 0 4 0 0 0 1 0 | * 960 * * * * * * | 0 0 0 2 0 0 0 0 1 0 0 | 0 1 0 0 2 0 ox.3oo. ... *b3oo. ... ...&#x & ♦ 1 4 | 0 4 0 6 | 0 6 0 0 4 | 0 4 0 0 0 0 1 | * * 1920 * * * * * | 0 0 1 0 1 0 0 0 0 1 0 | 0 0 1 0 1 1 ox.3oo. ... ... ... xo.&#x & ♦ 2 3 | 1 6 0 3 | 0 6 3 0 1 | 0 2 3 0 0 0 0 | * * * 3840 * * * * | 0 0 0 1 1 1 0 0 0 0 0 | 0 1 1 0 1 0 ox. ... ... ... oo.3xo.&#x & ♦ 3 2 | 3 6 0 1 | 1 3 6 0 0 | 0 0 3 2 0 0 0 | * * * * 1920 * * * | 0 0 0 0 0 2 1 0 0 0 0 | 0 1 2 0 0 0 ... ... ... oo.3oo.3xo.&#x & ♦ 4 1 | 6 4 0 0 | 4 0 6 0 0 | 1 0 0 4 0 0 0 | * * * * * 960 * * | 0 0 0 0 0 0 1 2 0 0 0 | 0 0 2 1 0 0 oxo3ooo ... ... ... ...&#x ♦ 2 3 | 0 6 1 3 | 0 6 0 3 1 | 0 2 0 0 3 0 0 | * * * * * * 1920 * | 0 0 0 0 0 0 0 0 1 2 0 | 0 0 0 0 2 1 .x.3.o. ... *b3.o.3.o. ... ♦ 0 5 | 0 0 0 10 | 0 0 0 0 10 | 0 0 0 0 0 0 5 | * * * * * * * 192 | 0 0 2 0 0 0 0 0 0 0 1 | 0 0 2 0 0 1 ---------------------------------+-------+----------------+----------------------+--------------------------------+-------------------------------------+-------------------------------------------+------------------- o..3o.. ... *b3o..3o..3x.. & ♦ 6 0 | 15 0 0 0 | 20 0 0 0 0 | 15 0 0 0 0 0 0 | 6 0 0 0 0 0 0 0 | 64 * * * * * * * * * * | 1 0 1 0 0 0 ... o..3o.. *b3o..3o..3x.. & ♦ 6 0 | 15 0 0 0 | 20 0 0 0 0 | 15 0 0 0 0 0 0 | 6 0 0 0 0 0 0 0 | * 64 * * * * * * * * * | 1 0 0 1 0 0 ox.3oo. ... *b3oo.3oo. ...&#x & ♦ 1 5 | 0 5 0 10 | 0 10 0 0 10 | 0 10 0 0 0 0 5 | 0 0 5 0 0 0 0 1 | * * 384 * * * * * * * * | 0 0 1 0 0 1 ox.3oo.3oo. ... ... xo.&#x & ♦ 2 4 | 1 8 0 6 | 0 12 4 0 4 | 0 8 6 0 0 1 0 | 0 2 0 4 0 0 0 0 | * * * 960 * * * * * * * | 0 1 0 0 1 0 ox.3oo. ... *b3oo. ... xo.&#x & ♦ 2 4 | 1 8 0 6 | 0 12 4 0 4 | 0 8 6 0 0 0 1 | 0 0 2 4 0 0 0 0 | * * * * 960 * * * * * * | 0 0 1 0 1 0 ox.3oo. ... ... oo.3xo.&#x & ♦ 3 3 | 3 9 0 3 | 1 9 9 0 1 | 0 3 9 3 0 0 0 | 0 0 0 3 3 0 0 0 | * * * * * 1280 * * * * * | 0 1 1 0 0 0 ox. ... ... oo.3oo.3xo.&#x & ♦ 4 2 | 6 8 0 1 | 4 4 12 0 0 | 1 0 6 8 0 0 0 | 0 0 0 0 4 2 0 0 | * * * * * * 480 * * * * | 0 0 2 0 0 0 ... oo. ... *b3oo.3oo.3xo.&#x & ♦ 5 1 | 10 5 0 0 | 10 0 10 0 0 | 5 0 0 10 0 0 0 | 1 0 0 0 0 5 0 0 | * * * * * * * 384 * * * | 0 0 1 1 0 0 oxo3ooo3ooo ... ... ...&#x ♦ 2 4 | 0 8 1 6 | 0 12 0 4 4 | 0 8 0 0 6 1 0 | 0 2 0 0 0 0 4 0 | * * * * * * * * 480 * * | 0 0 0 0 2 0 oxo3ooo ... *b3ooo ... ...&#x ♦ 2 4 | 0 8 1 6 | 0 12 0 4 4 | 0 8 0 0 6 0 1 | 0 0 2 0 0 0 4 0 | * * * * * * * * * 960 * | 0 0 0 0 1 1 .x.3.o. ... *b3.o.3.o.3.o. ♦ 0 6 | 0 0 0 15 | 0 0 0 0 20 | 0 0 0 0 0 0 15 | 0 0 0 0 0 0 0 6 | * * * * * * * * * * 32 | 0 0 2 0 0 0 ---------------------------------+-------+----------------+----------------------+--------------------------------+-------------------------------------+-------------------------------------------+------------------- o..3o..3o.. *b3o..3o..3x.. & ♦ 12 0 | 60 0 0 0 | 160 0 0 0 0 | 240 0 0 0 0 0 0 | 192 0 0 0 0 0 0 0 | 32 32 0 0 0 0 0 0 0 0 0 | 2 * * * * * ox.3oo.3oo. ... oo.3xo.&#x & ♦ 3 4 | 3 12 0 6 | 1 18 12 0 4 | 0 12 18 4 0 1 0 | 0 3 0 12 6 0 0 0 | 0 0 0 3 0 4 0 0 0 0 0 | * 320 * * * * ox.3oo. ... *b3oo.3oo.3xo.&#x & ♦ 6 6 | 15 30 0 15 | 20 60 60 0 20 | 15 60 90 60 0 0 15 | 6 0 30 60 60 30 0 6 | 1 0 6 0 15 20 15 6 0 0 1 | * * 64 * * * ... oo.3oo. *b3oo.3oo.3xo.&#x & ♦ 6 1 | 15 6 0 0 | 20 0 15 0 0 | 15 0 0 20 0 0 0 | 6 0 0 0 0 15 0 0 | 0 1 0 0 0 0 0 6 0 0 0 | * * * 64 * * oxo3ooo3ooo *b3ooo ... xox&#x ♦ 4 8 | 2 32 2 24 | 0 96 16 16 32 | 0 128 48 0 48 8 8 | 0 32 32 64 0 0 64 0 | 0 0 0 16 16 0 0 0 16 16 0 | * * * * 60 * oxo3ooo ... *b3ooo3ooo ...&#x ♦ 2 5 | 0 10 1 10 | 0 20 0 5 10 | 0 20 0 0 10 0 5 | 0 0 10 0 0 0 10 1 | 0 0 2 0 0 0 0 0 0 5 0 | * * * * * 192
oxoo3oooo3oooo3oooo3ooxo *c3oooo&#xt → all heights = 1/sqrt(3) = 0.577350 (pt || pseudo jak || pseudo inv jak || pt) o...3o...3o...3o...3o... *c3o... & | 2 * ♦ 27 0 0 | 216 0 0 | 720 0 0 0 | 1080 0 0 0 0 | 432 216 0 0 0 0 0 | 72 27 0 0 .o..3.o..3.o..3.o..3.o.. *c3.o.. & | * 54 ♦ 1 16 10 | 16 80 120 | 80 160 320 160 | 160 80 40 400 400 | 80 40 16 96 240 96 80 | 16 11 16 56 ---------------------------------------+------+------------+---------------+---------------------+------------------------+------------------------------+-------------- oo..3oo..3oo..3oo..3oo.. *c3oo..&#x & | 1 1 | 54 * * ♦ 16 0 0 | 80 0 0 0 | 160 0 0 0 0 | 80 40 0 0 0 0 0 | 16 10 0 0 .x.. .... .... .... .... .... & | 0 2 | * 432 * ♦ 1 10 5 | 10 30 30 10 | 30 20 10 60 40 | 20 10 5 20 35 20 10 | 5 5 5 11 .oo.3.oo.3.oo.3.oo.3.oo. *c3.oo.&#x | 0 2 | * * 270 ♦ 0 0 16 | 0 0 48 32 | 0 0 0 64 96 | 0 0 0 16 64 16 24 | 0 2 8 16 ---------------------------------------+------+------------+---------------+---------------------+------------------------+------------------------------+-------------- ox.. .... .... .... .... ....&#x & | 1 2 | 2 1 0 | 432 * * ♦ 10 0 0 0 | 30 0 0 0 0 | 20 10 0 0 0 0 0 | 5 5 0 0 .x..3.o.. .... .... .... .... & | 0 3 | 0 3 0 | * 1440 * ♦ 1 6 3 0 | 6 6 3 12 3 | 6 3 2 6 6 6 1 | 2 3 2 3 .xo. .... .... .... .... ....&#x & | 0 3 | 0 1 2 | * * 2160 ♦ 0 0 6 4 | 0 0 0 12 18 | 0 0 0 4 16 4 6 | 0 1 4 5 ---------------------------------------+------+------------+---------------+---------------------+------------------------+------------------------------+-------------- ox..3oo.. .... .... .... ....&#x & ♦ 1 3 | 3 3 0 | 3 1 0 | 1440 * * * ♦ 6 0 0 0 0 | 6 3 0 0 0 0 0 | 2 3 0 0 .x..3.o..3.o.. .... .... .... & ♦ 0 4 | 0 6 0 | 0 4 0 | * 2160 * * ♦ 1 2 1 2 0 | 2 1 1 2 1 2 0 | 1 2 1 1 .xo.3.oo. .... .... .... ....&#x & ♦ 0 4 | 0 3 3 | 0 1 3 | * * 4320 * ♦ 0 0 0 4 2 | 0 0 0 2 4 2 1 | 0 1 2 2 .xo. .... .... .... .ox. ....&#x ♦ 0 4 | 0 2 4 | 0 0 4 | * * * 2160 ♦ 0 0 0 0 6 | 0 0 0 0 6 0 3 | 0 0 3 2 ---------------------------------------+------+------------+---------------+---------------------+------------------------+------------------------------+-------------- ox..3oo..3oo.. .... .... ....&#x & ♦ 1 4 | 4 6 0 | 6 4 0 | 4 1 0 0 | 2160 * * * * | 2 1 0 0 0 0 0 | 1 2 0 0 .x..3.o..3.o..3.o.. .... .... & ♦ 0 5 | 0 10 0 | 0 10 0 | 0 5 0 0 | * 864 * * * | 1 0 1 1 0 0 0 | 1 1 1 0 .x..3.o..3.o.. .... .... *c3.o.. & ♦ 0 5 | 0 10 0 | 0 10 0 | 0 5 0 0 | * * 432 * * | 0 1 0 0 0 2 0 | 0 2 0 1 .xo.3.oo.3.oo. .... .... ....&#x & ♦ 0 5 | 0 6 4 | 0 4 6 | 0 1 4 0 | * * * 4320 * | 0 0 0 1 1 1 0 | 0 1 1 1 .xo.3.oo. .... .... .ox. ....&#x & ♦ 0 5 | 0 4 6 | 0 1 9 | 0 0 2 3 | * * * * 4320 | 0 0 0 0 2 0 1 | 0 0 2 1 ---------------------------------------+------+------------+---------------+---------------------+------------------------+------------------------------+-------------- ox..3oo..3oo..3oo.. .... ....&#x & ♦ 1 5 | 5 10 0 | 10 10 0 | 10 5 0 0 | 5 1 0 0 0 | 864 * * * * * * | 1 1 0 0 ox..3oo..3oo.. .... .... *c3oo..&#x & ♦ 1 5 | 5 10 0 | 10 10 0 | 10 5 0 0 | 5 0 1 0 0 | * 432 * * * * * | 0 2 0 0 .x..3.o..3.o..3.o..3.o.. .... & ♦ 0 6 | 0 15 0 | 0 20 0 | 0 15 0 0 | 0 6 0 0 0 | * * 144 * * * * | 1 0 1 0 .xo.3.oo.3.oo.3.oo. .... ....&#x & ♦ 0 6 | 0 10 5 | 0 10 10 | 0 5 10 0 | 0 1 0 5 0 | * * * 864 * * * | 0 1 1 0 .xo.3.oo.3.oo. .... .ox. ....&#x & ♦ 0 6 | 0 7 8 | 0 4 16 | 0 1 8 6 | 0 0 0 2 4 | * * * * 2160 * * | 0 0 1 1 .xo.3.oo.3.oo. .... .... *c3.oo.&#x & ♦ 0 6 | 0 10 5 | 0 10 10 | 0 5 10 0 | 0 0 1 5 0 | * * * * * 864 * | 0 1 0 1 .xo.3.oo. .... .oo.3.ox. ....&#x ♦ 0 6 | 0 6 9 | 0 2 18 | 0 0 6 9 | 0 0 0 0 6 | * * * * * * 720 | 0 0 2 0 ---------------------------------------+------+------------+---------------+---------------------+------------------------+------------------------------+-------------- ox..3oo..3oo..3oo..3oo.. ....&#x & ♦ 1 6 | 6 15 0 | 15 20 0 | 20 15 0 0 | 15 6 0 0 0 | 6 0 1 0 0 0 0 | 144 * * * oxo.3ooo.3ooo.3ooo. .... *c3ooo.&#xt & ♦ 1 11 | 10 40 10 | 40 80 40 | 80 80 80 0 | 80 16 16 80 0 | 16 16 0 16 0 16 0 | * 54 * * .xo.3.oo.3.oo.3.oo.3.ox. ....&#x ♦ 0 12 | 0 30 30 | 0 40 120 | 0 30 120 90 | 0 12 0 60 120 | 0 0 2 12 30 0 20 | * * 72 * .xo.3.oo.3.oo. .... .ox. *c3.oo.&#x & ♦ 0 7 | 0 11 10 | 0 10 25 | 0 5 20 10 | 0 0 1 10 10 | 0 0 0 0 5 2 0 | * * * 432
xooo3ooxo3oooo3oooo3oxoo3ooox&#xt → all heights = 1/sqrt(7) = 0.377964 (hop || inv ril || ril || inv hop) o...3o...3o...3o...3o...3o... & | 14 * ♦ 6 15 6 0 0 | 15 60 60 6 15 60 0 0 0 | 20 90 180 60 20 20 60 90 180 0 0 0 0 | 15 60 180 120 60 30 15 180 60 180 120 60 0 0 0 0 | 6 15 60 60 60 30 6 6 120 60 15 60 60 60 30 0 0 0 | 1 6 20 1 30 20 6 15 .o..3.o..3.o..3.o..3.o..3.o.. & | * 42 ♦ 0 5 2 10 10 | 0 10 40 1 10 40 20 5 90 | 0 10 60 60 20 20 20 90 180 20 40 80 120 | 0 5 40 60 30 40 20 90 80 240 160 80 10 100 25 100 | 0 1 10 20 20 20 10 10 80 40 25 100 100 100 50 2 40 20 | 0 2 5 2 25 40 10 15 ------------------------------------+-------+-------------------+-----------------------------------+--------------------------------------------------------+------------------------------------------------------------------+--------------------------------------------------------------------+------------------------- x... .... .... .... .... .... & | 2 0 | 42 * * * * ♦ 5 10 0 1 0 0 0 0 0 | 10 30 30 0 0 0 10 0 0 0 0 0 0 | 10 30 60 20 10 0 0 30 0 0 0 0 0 0 0 0 | 5 10 30 20 20 5 0 0 20 10 0 0 0 0 0 0 0 0 | 1 5 10 0 5 0 0 5 oo..3oo..3oo..3oo..3oo..3oo..&#x & | 1 1 | * 210 * * * ♦ 0 4 8 0 0 4 0 0 0 | 0 6 24 12 4 0 4 6 24 0 0 0 0 | 0 4 24 24 12 8 0 24 4 24 24 12 0 0 0 0 | 0 1 8 12 12 8 2 0 24 12 1 8 12 12 8 0 0 0 | 0 2 4 0 8 4 2 6 o.o.3o.o.3o.o.3o.o.3o.o.3o.o.&#x & | 1 1 | * * 84 * * ♦ 0 0 0 1 5 10 0 0 0 | 0 0 0 0 0 10 10 30 30 0 0 0 0 | 0 0 0 0 0 0 10 30 30 60 20 10 0 0 0 0 | 0 0 0 0 0 0 0 5 20 10 10 30 20 20 5 0 0 0 | 0 0 0 1 5 10 5 5 .... .... .... .... .x.. .... & | 0 2 | * * * 210 * ♦ 0 0 4 0 1 0 4 1 6 | 0 0 6 12 4 4 0 6 12 6 6 12 12 | 0 0 4 12 6 12 6 6 12 24 24 12 4 16 6 16 | 0 0 1 4 4 6 4 4 12 6 6 16 16 16 12 1 8 4 | 0 1 1 1 6 8 4 5 .oo.3.oo.3.oo.3.oo.3.oo.3.oo.&#x | 0 2 | * * * * 210 ♦ 0 0 0 0 0 4 0 0 12 | 0 0 0 0 0 0 2 12 24 0 6 12 24 | 0 0 0 0 0 0 0 12 12 48 24 12 0 24 4 24 | 0 0 0 0 0 0 0 0 12 6 4 24 24 24 8 0 12 6 | 0 0 0 0 4 12 4 6 ------------------------------------+-------+-------------------+-----------------------------------+--------------------------------------------------------+------------------------------------------------------------------+--------------------------------------------------------------------+------------------------- x...3o... .... .... .... .... & | 3 0 | 3 0 0 0 0 | 70 * * * * * * * * ♦ 4 6 0 0 0 0 0 0 0 0 0 0 0 | 6 12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 6 12 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 4 4 0 0 0 0 1 xo.. .... .... .... .... ....&#x & | 2 1 | 1 2 0 0 0 | * 420 * * * * * * * ♦ 0 3 6 0 0 0 1 0 0 0 0 0 0 | 0 3 12 6 3 0 0 6 0 0 0 0 0 0 0 0 | 0 1 6 6 6 2 0 0 6 3 0 0 0 0 0 0 0 0 | 0 2 3 0 2 0 0 3 .... .... .... .... ox.. ....&#x & | 1 2 | 0 2 0 1 0 | * * 840 * * * * * * ♦ 0 0 3 3 1 0 0 0 3 0 0 0 0 | 0 0 3 6 3 3 0 3 0 3 6 3 0 0 0 0 | 0 0 1 3 3 3 1 0 6 3 0 1 3 3 3 0 0 0 | 0 1 1 0 3 1 1 3 x.o. .... .... .... .... ....&#x & | 2 1 | 1 0 2 0 0 | * * * 42 * * * * * ♦ 0 0 0 0 0 0 10 0 0 0 0 0 0 | 0 0 0 0 0 0 0 30 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 20 10 0 0 0 0 0 0 0 0 | 0 0 0 0 5 0 0 5 .... o.x. .... .... .... ....&#x & | 1 2 | 0 0 2 1 0 | * * * * 210 * * * * ♦ 0 0 0 0 0 4 0 6 0 0 0 0 0 | 0 0 0 0 0 0 6 0 12 12 0 0 0 0 0 0 | 0 0 0 0 0 0 0 4 0 0 6 12 4 4 0 0 0 0 | 0 0 0 1 0 4 4 1 ooo.3ooo.3ooo.3ooo.3ooo.3ooo.&#x & | 1 2 | 0 1 1 0 1 | * * * * * 840 * * * ♦ 0 0 0 0 0 0 1 3 6 0 0 0 0 | 0 0 0 0 0 0 0 6 3 12 6 3 0 0 0 0 | 0 0 0 0 0 0 0 0 6 3 1 6 6 6 2 0 0 0 | 0 0 0 0 2 3 2 3 .... .... .... .o..3.x.. .... & | 0 3 | 0 0 0 3 0 | * * * * * * 280 * * ♦ 0 0 0 3 0 1 0 0 0 3 0 3 0 | 0 0 0 3 0 6 3 0 3 0 6 0 3 0 3 3 | 0 0 0 1 0 3 3 3 3 0 3 3 3 0 6 1 1 0 | 0 1 0 1 3 1 3 1 .... .... .... .... .x..3.o.. & | 0 3 | 0 0 0 3 0 | * * * * * * * 70 * ♦ 0 0 0 0 4 0 0 0 0 0 6 0 0 | 0 0 0 0 6 0 0 0 0 0 0 12 0 12 0 0 | 0 0 0 0 4 0 0 0 0 6 0 0 0 12 0 0 4 4 | 0 0 1 0 0 4 0 5 .... .ox. .... .... .... ....&#x & | 0 3 | 0 0 0 1 2 | * * * * * * * * 1260 ♦ 0 0 0 0 0 0 0 1 2 0 1 2 4 | 0 0 0 0 0 0 0 1 2 8 4 2 0 6 1 6 | 0 0 0 0 0 0 0 0 2 1 1 6 6 6 2 0 4 2 | 0 0 0 0 1 4 2 3 ------------------------------------+-------+-------------------+-----------------------------------+--------------------------------------------------------+------------------------------------------------------------------+--------------------------------------------------------------------+------------------------- x...3o...3o... .... .... .... & ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 0 | 70 * * * * * * * * * * * * ♦ 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 3 1 0 0 0 0 0 xo..3oo.. .... .... .... ....&#x & ♦ 3 1 | 3 3 0 0 0 | 1 3 0 0 0 0 0 0 0 | * 420 * * * * * * * * * * * ♦ 0 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 2 0 0 0 0 1 xo.. .... .... .... ox.. ....&#x & ♦ 2 2 | 1 4 0 1 0 | 0 2 2 0 0 0 0 0 0 | * * 1260 * * * * * * * * * * ♦ 0 0 2 2 1 0 0 1 0 0 0 0 0 0 0 0 | 0 0 1 2 2 1 0 0 2 1 0 0 0 0 0 0 0 0 | 0 1 1 0 1 0 0 2 .... .... .... oo..3ox.. ....&#x & ♦ 1 3 | 0 3 0 3 0 | 0 0 3 0 0 0 1 0 0 | * * * 840 * * * * * * * * * ♦ 0 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 | 0 0 0 1 0 2 1 0 2 0 0 0 1 0 2 0 0 0 | 0 1 0 0 2 0 1 1 .... .... .... .... ox..3oo..&#x & ♦ 1 3 | 0 3 0 3 0 | 0 0 3 0 0 0 0 1 0 | * * * * 280 * * * * * * * * ♦ 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 | 0 0 0 0 3 0 0 0 0 3 0 0 0 3 0 0 0 0 | 0 0 1 0 0 1 0 3 .... o.x.3o.o. .... .... ....&#x & ♦ 1 3 | 0 0 3 3 0 | 0 0 0 0 3 0 1 0 0 | * * * * * 280 * * * * * * * ♦ 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 3 0 0 3 3 0 0 0 0 0 0 | 0 0 0 1 0 1 3 0 xoo. .... .... .... .... ....&#x & ♦ 2 2 | 1 2 2 0 1 | 0 1 0 1 0 2 0 0 0 | * * * * * * 420 * * * * * * ♦ 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 6 3 0 0 0 0 0 0 0 0 | 0 0 0 0 2 0 0 3 .... oox. .... .... .... ....&#x & ♦ 1 3 | 0 1 2 1 2 | 0 0 0 0 1 2 0 0 1 | * * * * * * * 1260 * * * * * ♦ 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 1 4 2 2 0 0 0 0 | 0 0 0 0 0 2 2 1 .... .... .... .... oxo. ....&#x & ♦ 1 3 | 0 2 1 1 2 | 0 0 1 0 0 2 0 0 1 | * * * * * * * * 2520 * * * * ♦ 0 0 0 0 0 0 0 1 0 2 2 1 0 0 0 0 | 0 0 0 0 0 0 0 0 2 1 0 1 2 2 1 0 0 0 | 0 0 0 0 1 1 1 2 .... .... .o..3.o..3.x.. .... & ♦ 0 4 | 0 0 0 6 0 | 0 0 0 0 0 0 4 0 0 | * * * * * * * * * 210 * * * ♦ 0 0 0 0 0 2 1 0 0 0 0 0 2 0 1 0 | 0 0 0 0 0 1 2 2 0 0 1 0 0 0 2 1 0 0 | 0 1 0 1 1 0 2 0 .oo.3.ox. .... .... .... ....&#x & ♦ 0 4 | 0 0 0 3 3 | 0 0 0 0 0 0 0 1 3 | * * * * * * * * * * 420 * * ♦ 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 1 0 0 0 4 0 0 2 2 | 0 0 0 0 0 2 0 3 .... .ox.3.oo. .... .... ....&#x & ♦ 0 4 | 0 0 0 3 3 | 0 0 0 0 0 0 1 0 3 | * * * * * * * * * * * 840 * ♦ 0 0 0 0 0 0 0 0 1 0 2 0 0 0 1 2 | 0 0 0 0 0 0 0 0 1 0 1 2 2 0 2 0 1 0 | 0 0 0 0 1 1 2 1 .... .ox. .... .... .xo. ....&#x ♦ 0 4 | 0 0 0 2 4 | 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * 1260 ♦ 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 | 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 1 | 0 0 0 0 0 2 1 2 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