aboutsummaryrefslogtreecommitdiff
diff options
context:
space:
mode:
authorIOhannes m zmölnig <zmoelnig@users.sourceforge.net>2002-10-14 17:16:51 +0000
committerIOhannes m zmölnig <zmoelnig@users.sourceforge.net>2002-10-14 17:16:51 +0000
commit3505bf1cfec70eebcf508b67f3fd8ba55eee4421 (patch)
tree76b517de2fcc6e6b0333d076ce23674f42324935
This commit was generated by cvs2svn to compensate for changes in r172,svn2git-root
which included commits to RCS files with non-trunk default branches. svn path=/trunk/externals/ann/; revision=173
-rw-r--r--GnuGPL.txt290
-rw-r--r--examples/ann_som.pd114
-rw-r--r--examples/test.som206
-rw-r--r--src/ann.c64
-rw-r--r--src/ann.h15
-rw-r--r--src/ann_som.c721
-rw-r--r--src/makefile.irix20
-rw-r--r--src/makefile.linux76
8 files changed, 1506 insertions, 0 deletions
diff --git a/GnuGPL.txt b/GnuGPL.txt
new file mode 100644
index 0000000..fa0bef4
--- /dev/null
+++ b/GnuGPL.txt
@@ -0,0 +1,290 @@
+GNU GENERAL PUBLIC LICENSE
+
+Version 2, June 1991
+
+Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
+
+Everyone is permitted to copy and distribute verbatim copies
+of this license document, but changing it is not allowed.
+
+Preamble
+
+The licenses for most software are designed to take away your freedom
+to share and change it. By contrast, the GNU General Public License is
+intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users. This General
+Public License applies to most of the Free Software Foundation's
+software and to any other program whose authors commit to using it.
+(Some other Free Software Foundation software is covered by the
+GNU Library General Public License instead.) You can apply it to your
+programs, too.
+
+When we speak of free software, we are referring to freedom, not
+price. Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+this service if you wish), that you receive source code or can get it if you
+want it, that you can change the software or use pieces of it in new free
+programs; and that you know you can do these things.
+
+To protect your rights, we need to make restrictions that forbid anyone
+to deny you these rights or to ask you to surrender the rights. These
+restrictions translate to certain responsibilities for you if you distribute
+copies of the software, or if you modify it.
+
+For example, if you distribute copies of such a program, whether gratis
+or for a fee, you must give the recipients all the rights that you have. You
+must make sure that they, too, receive or can get the source code. And
+you must show them these terms so they know their rights.
+
+We protect your rights with two steps: (1) copyright the software, and
+(2) offer you this license which gives you legal permission to copy,
+distribute and/or modify the software.
+
+Also, for each author's protection and ours, we want to make certain
+that everyone understands that there is no warranty for this free
+software. If the software is modified by someone else and passed on,
+we want its recipients to know that what they have is not the original, so
+that any problems introduced by others will not reflect on the original
+authors' reputations.
+
+Finally, any free program is threatened constantly by software patents.
+We wish to avoid the danger that redistributors of a free program will
+individually obtain patent licenses, in effect making the program
+proprietary. To prevent this, we have made it clear that any patent must
+be licensed for everyone's free use or not licensed at all.
+
+The precise terms and conditions for copying, distribution and
+modification follow.
+
+TERMS AND CONDITIONS FOR
+COPYING, DISTRIBUTION AND
+MODIFICATION
+
+0. This License applies to any program or other work which contains a
+notice placed by the copyright holder saying it may be distributed under
+the terms of this General Public License. The "Program", below, refers
+to any such program or work, and a "work based on the Program"
+means either the Program or any derivative work under copyright law:
+that is to say, a work containing the Program or a portion of it, either
+verbatim or with modifications and/or translated into another language.
+(Hereinafter, translation is included without limitation in the term
+"modification".) Each licensee is addressed as "you".
+
+Activities other than copying, distribution and modification are not
+covered by this License; they are outside its scope. The act of running
+the Program is not restricted, and the output from the Program is
+covered only if its contents constitute a work based on the Program
+(independent of having been made by running the Program). Whether
+that is true depends on what the Program does.
+
+1. You may copy and distribute verbatim copies of the Program's
+source code as you receive it, in any medium, provided that you
+conspicuously and appropriately publish on each copy an appropriate
+copyright notice and disclaimer of warranty; keep intact all the notices
+that refer to this License and to the absence of any warranty; and give
+any other recipients of the Program a copy of this License along with the
+Program.
+
+You may charge a fee for the physical act of transferring a copy, and
+you may at your option offer warranty protection in exchange for a fee.
+
+2. You may modify your copy or copies of the Program or any portion
+of it, thus forming a work based on the Program, and copy and
+distribute such modifications or work under the terms of Section 1
+above, provided that you also meet all of these conditions:
+
+ a) You must cause the modified files to carry prominent notices
+ stating that you changed the files and the date of any change.
+
+ b) You must cause any work that you distribute or publish, that in
+ whole or in part contains or is derived from the Program or any
+ part thereof, to be licensed as a whole at no charge to all third
+ parties under the terms of this License.
+
+ c) If the modified program normally reads commands interactively
+ when run, you must cause it, when started running for such
+ interactive use in the most ordinary way, to print or display an
+ announcement including an appropriate copyright notice and a
+ notice that there is no warranty (or else, saying that you provide a
+ warranty) and that users may redistribute the program under
+ these conditions, and telling the user how to view a copy of this
+ License. (Exception: if the Program itself is interactive but does
+ not normally print such an announcement, your work based on
+ the Program is not required to print an announcement.)
+
+These requirements apply to the modified work as a whole. If
+identifiable sections of that work are not derived from the Program, and
+can be reasonably considered independent and separate works in
+themselves, then this License, and its terms, do not apply to those
+sections when you distribute them as separate works. But when you
+distribute the same sections as part of a whole which is a work based on
+the Program, the distribution of the whole must be on the terms of this
+License, whose permissions for other licensees extend to the entire
+whole, and thus to each and every part regardless of who wrote it.
+
+Thus, it is not the intent of this section to claim rights or contest your
+rights to work written entirely by you; rather, the intent is to exercise the
+right to control the distribution of derivative or collective works based
+on the Program.
+
+In addition, mere aggregation of another work not based on the
+Program with the Program (or with a work based on the Program) on a
+volume of a storage or distribution medium does not bring the other
+work under the scope of this License.
+
+3. You may copy and distribute the Program (or a work based on it,
+under Section 2) in object code or executable form under the terms of
+Sections 1 and 2 above provided that you also do one of the following:
+
+ a) Accompany it with the complete corresponding
+ machine-readable source code, which must be distributed under
+ the terms of Sections 1 and 2 above on a medium customarily
+ used for software interchange; or,
+
+ b) Accompany it with a written offer, valid for at least three
+ years, to give any third party, for a charge no more than your cost
+ of physically performing source distribution, a complete
+ machine-readable copy of the corresponding source code, to be
+ distributed under the terms of Sections 1 and 2 above on a
+ medium customarily used for software interchange; or,
+
+ c) Accompany it with the information you received as to the offer
+ to distribute corresponding source code. (This alternative is
+ allowed only for noncommercial distribution and only if you
+ received the program in object code or executable form with
+ such an offer, in accord with Subsection b above.)
+
+The source code for a work means the preferred form of the work for
+making modifications to it. For an executable work, complete source
+code means all the source code for all modules it contains, plus any
+associated interface definition files, plus the scripts used to control
+compilation and installation of the executable. However, as a special
+exception, the source code distributed need not include anything that is
+normally distributed (in either source or binary form) with the major
+components (compiler, kernel, and so on) of the operating system on
+which the executable runs, unless that component itself accompanies the
+executable.
+
+If distribution of executable or object code is made by offering access to
+copy from a designated place, then offering equivalent access to copy
+the source code from the same place counts as distribution of the source
+code, even though third parties are not compelled to copy the source
+along with the object code.
+
+4. You may not copy, modify, sublicense, or distribute the Program
+except as expressly provided under this License. Any attempt otherwise
+to copy, modify, sublicense or distribute the Program is void, and will
+automatically terminate your rights under this License. However, parties
+who have received copies, or rights, from you under this License will not
+have their licenses terminated so long as such parties remain in full
+compliance.
+
+5. You are not required to accept this License, since you have not
+signed it. However, nothing else grants you permission to modify or
+distribute the Program or its derivative works. These actions are
+prohibited by law if you do not accept this License. Therefore, by
+modifying or distributing the Program (or any work based on the
+Program), you indicate your acceptance of this License to do so, and all
+its terms and conditions for copying, distributing or modifying the
+Program or works based on it.
+
+6. Each time you redistribute the Program (or any work based on the
+Program), the recipient automatically receives a license from the original
+licensor to copy, distribute or modify the Program subject to these terms
+and conditions. You may not impose any further restrictions on the
+recipients' exercise of the rights granted herein. You are not responsible
+for enforcing compliance by third parties to this License.
+
+7. If, as a consequence of a court judgment or allegation of patent
+infringement or for any other reason (not limited to patent issues),
+conditions are imposed on you (whether by court order, agreement or
+otherwise) that contradict the conditions of this License, they do not
+excuse you from the conditions of this License. If you cannot distribute
+so as to satisfy simultaneously your obligations under this License and
+any other pertinent obligations, then as a consequence you may not
+distribute the Program at all. For example, if a patent license would not
+permit royalty-free redistribution of the Program by all those who
+receive copies directly or indirectly through you, then the only way you
+could satisfy both it and this License would be to refrain entirely from
+distribution of the Program.
+
+If any portion of this section is held invalid or unenforceable under any
+particular circumstance, the balance of the section is intended to apply
+and the section as a whole is intended to apply in other circumstances.
+
+It is not the purpose of this section to induce you to infringe any patents
+or other property right claims or to contest validity of any such claims;
+this section has the sole purpose of protecting the integrity of the free
+software distribution system, which is implemented by public license
+practices. Many people have made generous contributions to the wide
+range of software distributed through that system in reliance on
+consistent application of that system; it is up to the author/donor to
+decide if he or she is willing to distribute software through any other
+system and a licensee cannot impose that choice.
+
+This section is intended to make thoroughly clear what is believed to be
+a consequence of the rest of this License.
+
+8. If the distribution and/or use of the Program is restricted in certain
+countries either by patents or by copyrighted interfaces, the original
+copyright holder who places the Program under this License may add an
+explicit geographical distribution limitation excluding those countries, so
+that distribution is permitted only in or among countries not thus
+excluded. In such case, this License incorporates the limitation as if
+written in the body of this License.
+
+9. The Free Software Foundation may publish revised and/or new
+versions of the General Public License from time to time. Such new
+versions will be similar in spirit to the present version, but may differ in
+detail to address new problems or concerns.
+
+Each version is given a distinguishing version number. If the Program
+specifies a version number of this License which applies to it and "any
+later version", you have the option of following the terms and conditions
+either of that version or of any later version published by the Free
+Software Foundation. If the Program does not specify a version number
+of this License, you may choose any version ever published by the Free
+Software Foundation.
+
+10. If you wish to incorporate parts of the Program into other free
+programs whose distribution conditions are different, write to the author
+to ask for permission. For software which is copyrighted by the Free
+Software Foundation, write to the Free Software Foundation; we
+sometimes make exceptions for this. Our decision will be guided by the
+two goals of preserving the free status of all derivatives of our free
+software and of promoting the sharing and reuse of software generally.
+
+NO WARRANTY
+
+11. BECAUSE THE PROGRAM IS LICENSED FREE OF
+CHARGE, THERE IS NO WARRANTY FOR THE PROGRAM,
+TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT
+WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
+HOLDERS AND/OR OTHER PARTIES PROVIDE THE
+PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND,
+EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF
+MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND
+PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD
+THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE
+COST OF ALL NECESSARY SERVICING, REPAIR OR
+CORRECTION.
+
+12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW
+OR AGREED TO IN WRITING WILL ANY COPYRIGHT
+HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY
+AND/OR REDISTRIBUTE THE PROGRAM AS PERMITTED
+ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING
+ANY GENERAL, SPECIAL, INCIDENTAL OR
+CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OR
+INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT
+LIMITED TO LOSS OF DATA OR DATA BEING RENDERED
+INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
+PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE
+WITH ANY OTHER PROGRAMS), EVEN IF SUCH HOLDER OR
+OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY
+OF SUCH DAMAGES.
+
+END OF TERMS AND CONDITIONS
diff --git a/examples/ann_som.pd b/examples/ann_som.pd
new file mode 100644
index 0000000..9f03979
--- /dev/null
+++ b/examples/ann_som.pd
@@ -0,0 +1,114 @@
+#N canvas 50 -127 640 687 10;
+#X msg 131 495 print;
+#X msg 132 528 new 5 8 8;
+#X msg 127 99 init;
+#X msg 128 274 train;
+#X msg 129 296 test;
+#X msg 128 387 write;
+#X obj 70 559 ann_som 4 9 10;
+#X msg 70 49 1 0 0 1;
+#X msg 70 68 0 1 0 1;
+#X msg 70 87 2 1 0 0;
+#X msg 128 118 init 0.5;
+#X msg 128 138 init 1 0.5 0 0.5;
+#X text 234 101 init all weights with "0";
+#X text 235 120 init all weights with "0.5";
+#X text 235 137 init weights for each sensor;
+#X msg 128 163 learn 1;
+#X msg 128 197 learn 1 0.9 0.1;
+#X text 226 163 set learning rate to 1;
+#X msg 128 180 learn 0.5 0.999;
+#X text 227 179 set learning rate to 0.5 and factor to 0.999;
+#X text 227 197 set learning rate to 1 \, factor to 0.9 and offset to 0.1;
+#X msg 128 214 neighbour 1;
+#X msg 128 231 neighbour 0.5 0.999;
+#X msg 128 248 neighbour 1 0.9 0.1;
+#X text 248 215 set neighbourhood to 1;
+#X text 249 231 set neighbourhoodto 0.5 and factor to 0.999;
+#X text 249 249 set neighbourhood to 1 \, factor to 0.9 and offset to 0.1;
+#X text 180 269 set som to "train" mode (learn from sensor-input and output winning neuron);
+#X text 179 291 set som to "test" mode (output winning neuron for sensor-input \, but do not learn !);
+#X msg 129 328 rule INSTAR;
+#X msg 129 345 rule OUTSTAR;
+#X msg 129 362 rule KOHONEN;
+#X text 218 327 learn with IN-STAR rule;
+#X text 219 345 learn with OUT-STAR rule;
+#X text 219 362 learn with KOHONENrule;
+#X msg 128 405 write mysom.som;
+#X msg 129 429 read;
+#X msg 129 447 read mysom.som;
+#X text 156 68 present various data to the SOM;
+#X text 203 495 for debugging;
+#X text 207 530 create a new SOM with 8x8 neurons \, each having 5 sensors;
+#X text 204 561 create a new SOM with 9x10 neurons \, each having 4 sensors;
+#X floatatom 70 614 4 0 0;
+#X text 113 618 winning neuron;
+#N canvas 13 0 889 630 SOMs 0;
+#X text 76 27 SOM :: Self-Organized Maps;
+#X text 55 53 SOMs are "Artificial Neural Networks" \, that are trying to learn something about the data presented to them without a supervisor/teacher.;
+#X text 59 118 in short:;
+#X text 120 119 the neuron \, whose weight-configuration matches the presented data best is the winner (its number (counting from the lower-left corner) is sent to the output);
+#X text 121 163 to match the data better the next time it is presented \, the weights of the winning neuron are adjusted.;
+#X text 121 188 the weights of the neurons neighbouring the winner are adjusted to match the data too \, but not so strong as the winner's.;
+#X text 121 276 lr(n+1)=lr(n)*factor;
+#X text 275 277 learning_rate=lr+offset;
+#X text 121 289 nb(n+1)=nb(n)*factor;
+#X text 275 290 neighbourhood=nb+offset;
+#X text 121 230 both neighbourhood and learning-rate (==amount of how much the weights of the winner (and \, proportional \, the weights of the neighbours) are adjusted) are decreasing recursively with time.;
+#X text 119 319 thus you will sooner or (most of the time) later get a "brain map" \, where similar inputs will activate neurons in specifique regions (like there are regions for seeing and regions for hearing in our brains);
+#X text 97 381 there are various rules \, how to re-adjust the weights of the neurons : in-star \, out-star and kohonen (maybe there are others \, but these i found in literature);
+#X obj 607 220 +;
+#X text 640 182 ...;
+#X obj 579 185 * \$1;
+#X obj 607 185 * \$2;
+#X obj 670 185 * \$0;
+#X obj 579 128 unpack 0 0 0 0 0;
+#X text 602 111 n sensors;
+#X text 705 186 weights 1 to n;
+#X obj 579 90 inlet;
+#X obj 607 288 outlet;
+#X text 594 62 a neuron;
+#X text 566 307 the neuron with the highest weighted sum;
+#X text 567 318 matches best and is therefore the winner;
+#X text 53 452 notes:;
+#X text 101 453 each neuron of the SOM has n sensors. you have to present a list of n floats to the SOM to make it work;
+#X text 102 482 you should init the weights for each sensor with the expected mean of the sensor values before you start training to get best and fastest results;
+#X text 55 87 they were first proposed by the Finnish scientist T.Kohonen in the 80ies (i think).;
+#X text 98 543 if you have no clue \, what's this all about \, maybe you do not need SOMs (which i doubt) or you should have a look at;
+#X text 118 577 http://www.eas.asu.edu/~eee511;
+#X text 118 591 http://www.cis.hut.fi/projects/ica;
+#X connect 13 0 22 0;
+#X connect 15 0 13 0;
+#X connect 16 0 13 0;
+#X connect 17 0 13 0;
+#X connect 18 0 15 0;
+#X connect 18 1 16 0;
+#X connect 18 4 17 0;
+#X connect 21 0 18 0;
+#X restore 535 44 pd SOMs;
+#X text 81 13 ann_som :: train and test Self-Organized Maps;
+#X obj 73 660 ann_som test.som;
+#X text 211 664 load a SOM-file;
+#X connect 0 0 6 0;
+#X connect 1 0 6 0;
+#X connect 2 0 6 0;
+#X connect 3 0 6 0;
+#X connect 4 0 6 0;
+#X connect 5 0 6 0;
+#X connect 6 0 42 0;
+#X connect 7 0 6 0;
+#X connect 8 0 6 0;
+#X connect 9 0 6 0;
+#X connect 11 0 6 0;
+#X connect 15 0 6 0;
+#X connect 16 0 6 0;
+#X connect 18 0 6 0;
+#X connect 21 0 6 0;
+#X connect 22 0 6 0;
+#X connect 23 0 6 0;
+#X connect 29 0 6 0;
+#X connect 30 0 6 0;
+#X connect 31 0 6 0;
+#X connect 35 0 6 0;
+#X connect 36 0 6 0;
+#X connect 37 0 6 0;
diff --git a/examples/test.som b/examples/test.som
new file mode 100644
index 0000000..f1074db
--- /dev/null
+++ b/examples/test.som
@@ -0,0 +1,206 @@
+SOM:
+10 10 10 INSTAR
+0.999999999999999 0.999999999000000 0.000000000000000
+0.999999500000777 0.999999999666666 1.000000000000000
+weights:
+ -3.399999539504940 -1.000001787943173 -1.600001854036666 -3.600000136648053 -1.599999240440176 -4.599999658971642 2.200000908266854 -2.600003123982305 -3.800002398132818 3.999999663428766
+ -3.664408811633732 -0.293151033136177 -0.987533543750226 -2.380008660046391 -1.570271300167646 -4.070760204272482 1.171876563866566 -2.077239071278385 -3.123878873088140 3.214371110932181
+ -3.850183412803100 0.180009854785169 -1.042011297665122 -1.010214762676719 -1.261593950708803 -3.602933720042998 0.223488363849274 -1.757965969969787 -2.823378035872298 2.474907850267799
+ -3.267525288182409 0.051764920257421 -0.861189147291411 0.346768964752324 -1.086401295987099 -3.010025855790309 0.216062192056090 -2.054030541621496 -1.665247654188838 1.772114086164674
+ -2.531908811257504 -0.228362572156031 0.283020028903598 0.691545049584991 -1.317946071617238 -2.780427630196057 0.669072905841086 -2.095166482257043 -0.357067595055914 1.194836568762597
+ -1.670410067094406 -0.850456374464438 1.177079303231737 0.975765076637809 -1.598632087371286 -2.628074788624443 1.200071995849616 -2.338536290646471 0.508359948325128 0.694655469059352
+ -0.972839748009842 -1.432819542418945 1.713902285702235 0.848126099774984 -2.005987681503301 -2.656928282231532 1.910400404106563 -2.720742652779477 0.819178516157051 0.589653431079632
+ -0.181959862063861 -2.296825850005490 2.030276137478258 0.600072266047657 -2.328238768604089 -2.471193059455867 2.614251703556634 -2.926274832306241 0.937736319882752 0.422230237292192
+ 0.752475921921809 -3.242568234927249 2.234683205252513 0.075381526534909 -2.508993189104597 -2.190834422631923 2.869101479640665 -3.069685358187795 0.463639150130185 -0.033986007249940
+ 1.277032296769330 -3.659437432736417 2.010782182321743 -0.609641757048304 -2.339016786301861 -1.892952692573185 2.235093837136930 -2.920928645403118 -0.457322232707949 -0.578395974587059
+ -3.971512172049805 0.535219847945980 0.494113424082311 -2.582046278675071 -2.275648808854488 -3.787217325944574 0.753567475134825 -0.721689335652595 -2.056146292175192 3.505331826210551
+ -4.054055616227821 0.932795291484099 0.631968910358146 -1.799211174553179 -2.022685392946360 -3.707165267473070 0.170647464385876 -0.435571670292075 -1.647185583588689 2.895748631363134
+ -3.765892834013276 1.095177178532050 0.685794072420971 -0.865949940711560 -1.533237720537425 -3.325717046871432 -0.074461110943200 -0.540958941347474 -0.835723101096425 2.109037567803126
+ -3.037394336772935 0.772399801058053 0.783553802543503 -0.058950070759195 -1.165140010270036 -2.981706324180395 0.301761694648107 -1.145806179670528 0.235066868471340 1.384374535507638
+ -2.280475415697267 0.288903162781809 0.942579785873891 0.373043941841189 -0.973589743321277 -2.689381829286646 0.880714123064687 -1.773515781273200 1.081885235242567 0.905503502941021
+ -1.638763016008856 -0.139510716533679 1.437726642778894 0.329242139981553 -1.214048517928209 -2.337604934232495 1.529414776710072 -2.023920697334945 1.823470865818372 0.912449978862522
+ -0.945934490385355 -0.836910826889674 1.712152920482545 -0.043443967439232 -1.391531518537718 -1.996208920351949 2.320373555929382 -2.190744080167090 2.309937603321630 0.956359142316148
+ -0.430544809301166 -1.606495407822214 1.927949686845192 -0.049422629796747 -1.715543639664755 -1.932688381640353 2.907578129583055 -2.358268980262620 2.352761416651015 0.890909090472789
+ 0.266372476041017 -2.390096871515600 1.931600793742831 -0.418452141153263 -1.752463769962683 -1.711941696941028 3.074265804116516 -2.347539237000312 1.959481993185272 0.401646855108980
+ 1.095070232478888 -3.194254596681922 1.847047929883143 -1.041482644766594 -1.770291204210838 -1.433477834329486 2.939212440990236 -2.356707426618038 1.185541942497902 -0.227465763847785
+ -4.348457780362172 1.721596963861671 2.135183134445781 -2.111922371925352 -2.849150791380807 -3.246885574156561 -0.202235625571466 0.973985501026858 -0.706570778236533 3.339732955342597
+ -4.368228087686579 1.891149920060809 2.036230106119791 -1.584919277263748 -2.542857897804340 -3.320834155076582 -0.516257946664443 0.988803066251542 -0.521998208876602 2.883873294268708
+ -3.725549256069052 1.627180482527442 1.764676337041121 -0.869211830235964 -1.824200701893774 -3.028625730293222 -0.198174242141376 0.255468576666172 0.338992094886507 2.079356408167663
+ -2.939301247469378 1.153901448846943 1.515154079925773 -0.221551633876666 -1.260643080102328 -2.803647915219608 0.357719170064413 -0.674190366362191 1.265120767907391 1.373221591802172
+ -2.213210917665466 0.678905587923122 1.399888089179242 0.016031973635967 -0.916287941766233 -2.462123276319008 1.049231814138565 -1.424137218878687 2.077511955210475 1.053768497550434
+ -1.404549258833299 0.020354228789675 1.600536790199509 -0.341838032506697 -0.935092415097975 -1.800099492021683 2.037377390563832 -1.826035730696359 2.844161435811415 1.223301776599643
+ -0.959145511724675 -0.366120237851367 1.798835596447404 -0.688360304163465 -1.042189229628116 -1.395081958669074 2.643253309229007 -1.940494331186044 3.287658092882610 1.436852655212540
+ -0.579664979821490 -0.932097345154356 1.811885038506246 -0.765785493000138 -1.132913929893135 -1.348690574070790 2.856968802005087 -1.945734626475421 3.134557629545438 1.185697939467433
+ 0.066873477117855 -1.843407992257171 1.757844703442099 -0.998512222771418 -1.166507719716280 -1.234750848424435 3.074504603488980 -1.846014258289374 2.790959475244524 0.639495890830501
+ 0.875857253425398 -2.844032956923656 1.650791940139746 -1.435710192921676 -1.138889813201329 -1.010730095187110 3.195197431772648 -1.715636473908582 2.275154266475604 -0.033123061421149
+ -4.660625162011301 2.536800912741440 3.310215647546826 -1.983579949583983 -3.423705573642091 -2.970677708592821 -0.756803150219801 2.252324334361614 0.284627008985896 3.523223937670081
+ -4.607867248041779 2.503561303070671 3.029252711516285 -1.654005941807064 -3.049345998530499 -3.053166574278017 -0.861813032578485 2.017974391763137 0.206458481746841 3.139965727251893
+ -3.773609416123212 1.934895146436837 2.392483051717743 -0.993943430433647 -2.072519242014490 -2.814572222932298 -0.258321491195720 0.799625737773807 0.879593690694208 2.231466783603429
+ -2.789602347490602 1.343801926635191 1.698599312341219 -0.559149669333931 -1.189828623687061 -2.505666965663313 0.438264892843017 -0.457625681891893 1.756734457438183 1.418342176391699
+ -2.038759034050031 0.870152115398651 1.307059888851808 -0.427694889424221 -0.649211909264716 -2.170456657641060 1.185846061504038 -1.377242076488896 2.585846027652366 1.092907465451668
+ -1.171850445387268 0.100149499849393 1.561545417456040 -0.816960421989819 -0.703721283275723 -1.378336808645001 2.339949780122510 -1.843014925682711 3.331994289954238 1.376806053959631
+ -0.999999719955215 -0.000000585903002 1.999999098935982 -0.999999895520345 -0.999999462989936 -1.000000523078658 2.999999033998634 -1.999999681036223 3.999998544001918 1.999998416944344
+ -0.632308039509177 -0.562919825459804 1.737301575691706 -1.076794263075418 -0.871062099117383 -1.079040498612489 2.865941514133621 -1.864309015004479 3.517763874620793 1.342403707361689
+ 0.072590611318608 -1.709026564177329 1.665973803994893 -1.366041769133752 -0.871562894498242 -0.924348357378998 3.137089544753133 -1.567338836721053 3.214040260107593 0.725221564872169
+ 0.829922257690500 -2.791581448806690 1.477798632898677 -1.869606992739973 -0.691062853043055 -0.643647750714432 3.372214900102174 -1.218219255031402 2.943578925893897 0.075298555997860
+ -4.999999004353584 2.999999255273971 3.999998912072895 -1.999999916896756 -3.999998574535363 -2.999999472519682 -0.999999734527485 2.999998897952910 0.999998555483149 3.999998419257559
+ -4.717780845547964 2.775399091467099 3.515321901184576 -1.749949407257044 -3.298073799157822 -2.893666329793864 -0.988638593622910 2.521571524995959 0.537560926712989 3.306252132316069
+ -3.755572133400923 2.203112857752405 2.588134581424009 -1.332106785852384 -1.967832435433027 -2.499354290910485 -0.350383495379875 1.161924876277133 1.118184609133092 2.240016661417358
+ -2.666049303802033 1.550296860180113 1.693341696663998 -1.045558905111629 -0.975893960345571 -2.116065839009405 0.380721435329468 -0.188824421003278 1.836404564135224 1.385425537121163
+ -1.795415457314572 0.918241113126461 1.188838556813491 -0.940813596944324 -0.426024437595116 -1.760646815922883 1.209073456823901 -1.258638064983849 2.513483205516858 1.013762646429432
+ -1.037470490324593 0.211258860853280 1.208890079664495 -1.093277407156780 -0.323824850816071 -1.250814015199257 2.133236509527560 -1.806522602674094 3.171683862480717 1.040573130488526
+ -0.816325205714192 -0.106895812594265 1.477151645461617 -1.180810581642213 -0.555354411025112 -1.055266982509300 2.581958332355970 -1.855023621673544 3.483803556197770 1.299872752926741
+ -0.479760079224889 -0.561914191543606 1.359972152054708 -1.371904515162111 -0.469189009488387 -0.933448824516167 2.692773206515344 -1.734660038032981 3.371131387438572 1.012107824401405
+ 0.134474570602915 -1.554904283538802 1.245608616665024 -1.763351294435943 -0.343488968633248 -0.699151155618663 2.975961301908113 -1.377994287902666 3.215526724546621 0.515544464149479
+ 0.897368163675452 -3.162279510658690 1.367543791932125 -2.264911550472457 -0.367544176957526 -0.367544359975328 3.632455355362551 -0.735088546376173 3.367542748906255 0.102631499765101
+ -4.434684152637360 2.822722937159019 3.753296681033132 -1.932017924244420 -3.405786070903065 -2.539967076432358 -1.082934359810601 2.927733973174099 0.601717183345303 3.143965264537201
+ -4.364716228159867 2.801488480535435 3.433822426223437 -1.778495984171522 -2.877245061571190 -2.535400708597968 -1.087090211423334 2.578941545180213 0.551720396658055 2.791716027932460
+ -3.583510369081803 2.381662217070830 2.469063426475504 -1.618290495134485 -1.696964102791638 -2.238310462068634 -0.619139734267236 1.418541000549897 0.947026968179092 1.917870437038182
+ -2.456675163251826 1.732611459083983 1.418190188110553 -1.551425276661983 -0.564950194587570 -1.804435464166054 0.186328643021739 -0.012555406317352 1.662033083876830 1.086636849245845
+ -1.529104937517096 1.178077657015140 0.714495908349704 -1.583908396073388 0.202962066775853 -1.372147858864397 0.926176304801837 -1.094899971431338 2.303198368073808 0.560662287373262
+ -0.785939038323318 0.488059056610979 0.411695603408276 -1.672791049733762 0.529916275580196 -0.996155724726522 1.680222615552275 -1.721811103321440 2.800716449029725 0.354838370044879
+ -0.569029962760953 0.066431468474963 0.618079516577042 -1.692210147716420 0.299309261472352 -0.882271357282218 2.062281505229379 -1.722299694603762 2.996236089696472 0.511874475670676
+ -0.250018522843921 -0.514832002632169 0.616278558718485 -1.840772015274815 0.272995435360592 -0.740535838501878 2.301520832755083 -1.552354419288309 2.940931230404983 0.354967057944476
+ 0.251800148920061 -1.464207818135621 0.601343683463328 -2.148222841127547 0.317094840922319 -0.552594270425859 2.639268432510555 -1.197173773408314 2.762688059763771 0.017852103476386
+ 0.932318870939532 -2.837790556746765 0.699115191478530 -2.469675844977578 0.219866286695009 -0.355885542350070 3.132995033730602 -0.705545256877810 2.571423101722232 -0.404238609478870
+ -3.409130348455066 2.320342843023009 3.433021140904054 -1.986354357329427 -2.669872992752881 -1.903620196472319 -1.226643656478325 3.001494681715124 0.434874098975972 2.004508159421472
+ -3.486936690660387 2.454343393773537 2.953049651556981 -1.897026330204475 -2.032262871073851 -2.040910161440657 -1.171924050724737 2.387876699287988 0.502049144039390 1.843557783465804
+ -3.046450654987764 2.390179669699468 1.978015599632370 -1.998378427668385 -0.948564526771488 -1.888346267780865 -1.036094204014821 1.563892681764842 0.655088413749008 1.126246851333170
+ -1.987885281145493 1.870394550257920 0.729204205356671 -2.108729201400681 0.279930327257761 -1.408247369279901 -0.149786767925481 0.030537924826345 1.431534134693400 0.387621996084839
+ -0.990560474224238 1.349885104573934 -0.350057510301517 -2.356203724531257 1.347798812812471 -0.904408431627084 0.624831179540335 -1.189860976028219 2.056642405604107 -0.254008704439007
+ -0.451723052804189 0.948538698853010 -0.762990738677392 -2.512724311355281 1.753236881552716 -0.600759948081675 1.149260944365514 -1.749117007355057 2.462390702425005 -0.453614225752723
+ -0.342821714944710 0.456585526946645 -0.544845985800462 -2.437549938090235 1.498311526358241 -0.592380470240897 1.460378207963043 -1.627970879648795 2.453575186249362 -0.332371207431372
+ -0.090990452026912 -0.326043205753642 -0.420398629284450 -2.490392167778460 1.379016037918900 -0.526974546179914 1.786136703527057 -1.290604598070746 2.215561566922310 -0.401045908423606
+ 0.351500638550009 -1.459809654300966 -0.373727620750562 -2.732391989343216 1.376803667781824 -0.362308436365718 2.221269039120766 -0.767954404806289 1.820126757794739 -0.628560714447123
+ 0.843261411436526 -2.801998786283713 -0.309734000604769 -2.917966469514248 1.277764799306769 -0.283448036136064 2.668380578732439 -0.191266064689723 1.336611020116643 -0.982474545585568
+ -1.690961991805014 0.986821342687000 2.566488957752868 -1.693900834686384 -1.390621841174322 -1.376658418436758 -1.593116188592552 2.869825763341280 0.961185905131165 0.318844343230768
+ -1.819226346519956 1.427372656904706 2.291452456605057 -1.960690512433880 -0.718701577617367 -1.374629923794903 -1.523478798811880 2.318501649523097 0.921861723272286 0.353075469279607
+ -1.644122345022504 1.622108444420580 1.297562049314988 -2.204630777532875 0.340394567223048 -1.286572647222278 -1.243715476861932 1.355795042542949 1.014071291046899 -0.135483871679969
+ -1.022123317714853 1.724408850245733 -0.334785848670425 -2.648334475672161 1.722298924484380 -0.899684746335653 -0.633190066026943 -0.052843534365775 1.304371688135208 -0.867017932134152
+ -0.191012263608328 1.428540433034303 -1.866762691470496 -3.140759777809166 3.004461584173736 -0.354850744609877 0.274526644431307 -1.525118463713176 1.861795047810275 -1.459383030263442
+ -0.175378396100470 1.649241876975675 -2.123107256089547 -3.473863921578540 3.123107227621487 -0.175378898457855 0.526135470365211 -1.999998989484299 2.350755463675390 -1.298486336870563
+ -0.119128676805872 0.791424159624606 -1.728712745773501 -3.164164671298855 2.707755508375711 -0.330842108230214 0.897806012291794 -1.538229801138516 1.846525508519994 -1.148198013380010
+ 0.076085774644685 -0.357381756904083 -1.537048935229785 -3.176752378539767 2.611733421835105 -0.321108182103196 1.357299105186912 -0.847638634570576 1.174366272176676 -1.113909923860420
+ 0.316320681261502 -1.597273306928110 -1.396596931653985 -3.209403902412908 2.570346236568042 -0.349214486018947 1.776916438878030 -0.099276574925412 0.476605495492240 -1.189400523880245
+ 0.663585781423105 -3.089606376458373 -1.397727254839511 -3.366808341347761 2.534144690485831 -0.300631312243230 2.240648481237960 0.683770788564218 -0.411030691352247 -1.501601595339585
+ 0.985227351508375 -1.648803714247017 1.030378243219446 -1.108938371643821 1.085345508276510 -0.661127492947246 -1.960002854143423 2.350339312562235 2.198981169026821 -2.011751484405538
+ 0.685012171036041 -0.797814233333862 1.015167572478179 -1.259081584039024 1.295653363745759 -1.020849845817081 -2.471105487510094 2.035534513596478 2.392763915072213 -1.881109820501258
+ 0.686457158597548 -0.305478783587042 0.484491358383779 -1.895714641521794 2.298100526227314 -0.769266236685295 -2.290347736290570 1.356292058594735 2.221231655718122 -2.289248837821189
+ 0.724873185324239 0.462154627339358 -1.112888983140423 -2.525930918118195 3.201684237966901 -0.398264710502263 -1.134521688861845 -0.147908293718716 2.053750911650593 -2.329125395622599
+ 0.345904723062259 0.975228187711387 -2.249910548251781 -3.187360830514074 3.481724376298728 -0.208598715262249 -0.083968301693121 -1.162839431456146 1.639867915163044 -1.980969679664417
+ 0.166565766418578 1.042210051033558 -2.786104501948422 -3.644236995374659 3.733641111367612 -0.114445549141647 0.271659185917542 -1.442800518024824 1.337210256303109 -1.971230068975365
+ 0.081154971433170 0.445914374820914 -2.800724283783551 -3.703825990014068 3.788330455815418 -0.169816536600233 0.539189650157745 -0.975698322917413 0.627755733594187 -1.894174291660718
+ 0.096276029706030 -0.689504547336024 -2.509213626516561 -3.608954696301073 3.699244676999937 -0.299082857107967 0.987925121293636 -0.131004590450965 -0.223525503701646 -1.696560706323150
+ 0.221838062238937 -1.905655309050296 -2.034787033939481 -3.367544310695088 3.556323326413190 -0.521536534036940 1.486750292195419 0.829522256441825 -1.018302243127148 -1.367544467347987
+ 0.193861872065075 -3.162451741077858 -1.913318550815563 -3.384863949688668 3.265633350050881 -0.452220856622311 1.986061058161487 1.391121234729484 -1.792309157385880 -1.432683132603716
+ 3.302346844483270 -4.160997073396219 -0.896187169559894 -0.948094666116207 3.304105414456226 0.538416192423036 -1.601172658652421 1.246919137445041 2.962464031775002 -4.051907597661985
+ 3.160315854649797 -3.183836405366974 -0.353765301736615 -0.535496516829068 2.944026593343659 -0.457486446186733 -2.801350799541214 1.708848651897812 3.315600017761889 -3.652050698664994
+ 2.650784949843616 -2.122236237875686 -0.609271860316696 -1.041612168946182 3.064238261984309 -0.622968122839140 -2.741636393740091 1.234945741193289 3.228947729387398 -3.422383681086359
+ 1.835756190161568 -1.190249405673504 -1.309181795192128 -1.443239858292167 2.989266338019758 -0.527164602464461 -2.136548177859753 0.257187752305526 2.950627989619554 -2.905503461688335
+ 0.779244692625503 -0.250956684342640 -2.222842398961040 -2.114484245542347 3.193714996155647 -0.402353834151914 -0.716699056731043 -0.695075395385020 1.970940110428005 -2.073146884994938
+ 0.205901638910206 -0.094144905079182 -2.702251300385419 -3.006804281874988 3.428965172985645 -0.244040996236974 0.271507532354853 -0.901460516171289 0.837319205042779 -1.900140980267979
+ 0.006343044467507 -0.526316304925453 -2.784396850535765 -3.387317594535239 3.623756724446971 -0.255765726125193 0.728832393362191 -0.459522185849024 -0.083931182347604 -1.838646537891986
+ -0.094247051197377 -1.357693159899331 -2.688131416688605 -3.507253089007949 3.801702829826901 -0.372428273016097 1.096283810567282 0.389297736866760 -1.170355250849716 -1.696809434483544
+ -0.176495600665102 -2.383531123169409 -2.541866388586213 -3.474889464559508 3.916948947345628 -0.496084807779220 1.434741882579586 1.340104548436013 -2.312575966501984 -1.542754383394004
+ -0.505965100388881 -3.619548563424876 -2.611537814792154 -3.611537547739726 3.999999654692064 -0.388462396222968 1.788855346423743 2.219155128512003 -3.619548301804086 -1.611537777358381
+dists:
+ 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 9.000000000000000 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 9.486832980505138 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 9.848857801796104 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 10.295630140987001 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000 10.816653826391969 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 10.630145812734650 11.401754250991379 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000 10.630145812734650 11.313708498984761 12.041594578792296 9.000000000000000 9.055385138137417 9.219544457292887 9.486832980505138 9.848857801796104 10.295630140987001 10.816653826391969 11.401754250991379 12.041594578792296 12.727922061357855
+ 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 10.630145812734650 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000 10.630145812734650 11.313708498984761 9.055385138137417 9.000000000000000 9.055385138137417 9.219544457292887 9.486832980505138 9.848857801796104 10.295630140987001 10.816653826391969 11.401754250991379 12.041594578792296
+ 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000 10.630145812734650 9.219544457292887 9.055385138137417 9.000000000000000 9.055385138137417 9.219544457292887 9.486832980505138 9.848857801796104 10.295630140987001 10.816653826391969 11.401754250991379
+ 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000 9.486832980505138 9.219544457292887 9.055385138137417 9.000000000000000 9.055385138137417 9.219544457292887 9.486832980505138 9.848857801796104 10.295630140987001 10.816653826391969
+ 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 9.848857801796104 9.486832980505138 9.219544457292887 9.055385138137417 9.000000000000000 9.055385138137417 9.219544457292887 9.486832980505138 9.848857801796104 10.295630140987001
+ 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 10.295630140987001 9.848857801796104 9.486832980505138 9.219544457292887 9.055385138137417 9.000000000000000 9.055385138137417 9.219544457292887 9.486832980505138 9.848857801796104
+ 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 10.816653826391969 10.295630140987001 9.848857801796104 9.486832980505138 9.219544457292887 9.055385138137417 9.000000000000000 9.055385138137417 9.219544457292887 9.486832980505138
+ 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 10.630145812734650 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 11.401754250991379 10.816653826391969 10.295630140987001 9.848857801796104 9.486832980505138 9.219544457292887 9.055385138137417 9.000000000000000 9.055385138137417 9.219544457292887
+ 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 10.630145812734650 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 11.313708498984761 10.630145812734650 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 12.041594578792296 11.401754250991379 10.816653826391969 10.295630140987001 9.848857801796104 9.486832980505138 9.219544457292887 9.055385138137417 9.000000000000000 9.055385138137417
+ 9.000000000000000 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 9.486832980505138 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 9.848857801796104 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 10.295630140987001 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 10.816653826391969 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 11.401754250991379 10.630145812734650 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 12.041594578792296 11.313708498984761 10.630145812734650 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 12.727922061357855 12.041594578792296 11.401754250991379 10.816653826391969 10.295630140987001 9.848857801796104 9.486832980505138 9.219544457292887 9.055385138137417 9.000000000000000
+ 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 9.000000000000000 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 9.486832980505138 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 9.848857801796104 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 10.295630140987001 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000 10.816653826391969 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 10.630145812734650 11.401754250991379 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000 10.630145812734650 11.313708498984761 12.041594578792296
+ 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 10.630145812734650 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000 10.630145812734650 11.313708498984761
+ 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000 10.630145812734650
+ 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000
+ 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603
+ 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159
+ 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530
+ 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 10.630145812734650 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321
+ 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 10.630145812734650 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 11.313708498984761 10.630145812734650 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549
+ 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.000000000000000 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 9.486832980505138 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 9.848857801796104 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 10.295630140987001 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 10.816653826391969 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 11.401754250991379 10.630145812734650 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 12.041594578792296 11.313708498984761 10.630145812734650 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000
+ 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 9.000000000000000 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 9.486832980505138 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 9.848857801796104 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 10.295630140987001 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000 10.816653826391969 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 10.630145812734650 11.401754250991379
+ 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 10.630145812734650
+ 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665
+ 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887
+ 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627
+ 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549
+ 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909
+ 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518
+ 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 10.630145812734650 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476
+ 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.000000000000000 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 9.486832980505138 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 9.848857801796104 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 10.295630140987001 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 10.816653826391969 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 11.401754250991379 10.630145812734650 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000
+ 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 9.486832980505138 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 9.000000000000000 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 9.486832980505138 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 9.848857801796104 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 10.295630140987001 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000 10.816653826391969
+ 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000
+ 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887
+ 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570
+ 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654
+ 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978
+ 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369
+ 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759
+ 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219
+ 9.486832980505138 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.000000000000000 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 9.486832980505138 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 9.848857801796104 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 10.295630140987001 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 10.816653826391969 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000
+ 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 9.848857801796104 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 9.486832980505138 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 9.000000000000000 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 9.486832980505138 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 9.848857801796104 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 10.295630140987001
+ 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603
+ 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627
+ 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654
+ 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476
+ 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849
+ 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301
+ 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504
+ 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784
+ 9.848857801796104 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 9.486832980505138 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.000000000000000 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 9.486832980505138 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 9.848857801796104 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 10.295630140987001 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000
+ 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 10.295630140987001 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 9.848857801796104 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 9.486832980505138 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 9.000000000000000 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 9.486832980505138 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 9.848857801796104
+ 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159
+ 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549
+ 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978
+ 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849
+ 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381
+ 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000
+ 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580
+ 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661
+ 10.295630140987001 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 9.848857801796104 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 9.486832980505138 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.000000000000000 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 9.486832980505138 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 9.848857801796104 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000
+ 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000 10.816653826391969 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 10.295630140987001 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 9.848857801796104 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 9.486832980505138 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 9.000000000000000 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 9.486832980505138
+ 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530
+ 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909
+ 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369
+ 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301
+ 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000
+ 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285
+ 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989
+ 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380
+ 10.816653826391969 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 10.295630140987001 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 9.848857801796104 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 9.486832980505138 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.000000000000000 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 9.486832980505138 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000
+ 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 10.630145812734650 11.401754250991379 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000 10.816653826391969 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 10.295630140987001 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 9.848857801796104 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 9.486832980505138 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 9.000000000000000 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887
+ 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 10.630145812734650 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321
+ 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518
+ 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759
+ 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504
+ 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580
+ 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989
+ 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190
+ 10.630145812734650 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790
+ 11.401754250991379 10.630145812734650 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 10.816653826391969 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 10.295630140987001 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 9.848857801796104 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 9.486832980505138 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.000000000000000 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000
+ 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000 10.630145812734650 11.313708498984761 12.041594578792296 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 10.630145812734650 11.401754250991379 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000 10.816653826391969 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 10.295630140987001 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 9.848857801796104 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 9.486832980505138 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 9.000000000000000 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417
+ 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000 10.630145812734650 11.313708498984761 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 10.630145812734650 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549
+ 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000 10.630145812734650 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476
+ 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219
+ 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784
+ 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661
+ 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380
+ 10.630145812734650 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790
+ 11.313708498984761 10.630145812734650 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 10.630145812734650 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095
+ 12.041594578792296 11.313708498984761 10.630145812734650 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 11.401754250991379 10.630145812734650 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 10.816653826391969 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 10.295630140987001 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 9.848857801796104 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 9.486832980505138 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.000000000000000 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000
+ 9.000000000000000 9.055385138137417 9.219544457292887 9.486832980505138 9.848857801796104 10.295630140987001 10.816653826391969 11.401754250991379 12.041594578792296 12.727922061357855 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000 10.630145812734650 11.313708498984761 12.041594578792296 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 10.630145812734650 11.401754250991379 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000 10.816653826391969 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 10.295630140987001 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 9.848857801796104 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 9.486832980505138 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 9.219544457292887 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 9.055385138137417 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000 9.000000000000000
+ 9.055385138137417 9.000000000000000 9.055385138137417 9.219544457292887 9.486832980505138 9.848857801796104 10.295630140987001 10.816653826391969 11.401754250991379 12.041594578792296 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000 10.630145812734650 11.313708498984761 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 10.630145812734650 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 10.000000000000000 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 9.433981132056603 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 8.944271909999159 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 8.544003745317530 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 8.246211251235321 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 8.062257748298549 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000 8.000000000000000
+ 9.219544457292887 9.055385138137417 9.000000000000000 9.055385138137417 9.219544457292887 9.486832980505138 9.848857801796104 10.295630140987001 10.816653826391969 11.401754250991379 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000 10.630145812734650 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 9.899494936611665 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 9.219544457292887 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 8.602325267042627 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 8.062257748298549 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 7.615773105863909 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 7.280109889280518 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 7.071067811865476 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000 7.000000000000000
+ 9.486832980505138 9.219544457292887 9.055385138137417 9.000000000000000 9.055385138137417 9.219544457292887 9.486832980505138 9.848857801796104 10.295630140987001 10.816653826391969 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 10.000000000000000 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 9.219544457292887 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 8.485281374238570 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 7.810249675906654 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 7.211102550927978 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 6.708203932499369 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 6.324555320336759 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 6.082762530298219 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000 6.000000000000000
+ 9.848857801796104 9.486832980505138 9.219544457292887 9.055385138137417 9.000000000000000 9.055385138137417 9.219544457292887 9.486832980505138 9.848857801796104 10.295630140987001 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 9.433981132056603 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 8.602325267042627 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.810249675906654 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 7.071067811865476 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 6.403124237432849 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.830951894845301 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.385164807134504 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.099019513592784 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000 5.000000000000000
+ 10.295630140987001 9.848857801796104 9.486832980505138 9.219544457292887 9.055385138137417 9.000000000000000 9.055385138137417 9.219544457292887 9.486832980505138 9.848857801796104 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 8.944271909999159 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.062257748298549 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.211102550927978 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 6.403124237432849 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 5.656854249492381 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 5.000000000000000 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 4.472135954999580 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 4.123105625617661 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000 4.000000000000000
+ 10.816653826391969 10.295630140987001 9.848857801796104 9.486832980505138 9.219544457292887 9.055385138137417 9.000000000000000 9.055385138137417 9.219544457292887 9.486832980505138 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 8.544003745317530 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 7.615773105863909 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 6.708203932499369 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 5.830951894845301 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 5.000000000000000 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 4.242640687119285 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 3.605551275463989 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 3.162277660168380 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000 3.000000000000000
+ 11.401754250991379 10.816653826391969 10.295630140987001 9.848857801796104 9.486832980505138 9.219544457292887 9.055385138137417 9.000000000000000 9.055385138137417 9.219544457292887 10.630145812734650 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 8.246211251235321 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 7.280109889280518 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 6.324555320336759 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 5.385164807134504 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 4.472135954999580 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 3.605551275463989 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 2.828427124746190 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 2.236067977499790 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000 2.000000000000000
+ 12.041594578792296 11.401754250991379 10.816653826391969 10.295630140987001 9.848857801796104 9.486832980505138 9.219544457292887 9.055385138137417 9.000000000000000 9.055385138137417 11.313708498984761 10.630145812734650 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 8.062257748298549 10.630145812734650 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 7.071067811865476 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 6.082762530298219 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 5.099019513592784 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 4.123105625617661 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 3.162277660168380 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 2.236067977499790 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 1.414213562373095 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000 1.000000000000000
+ 12.727922061357855 12.041594578792296 11.401754250991379 10.816653826391969 10.295630140987001 9.848857801796104 9.486832980505138 9.219544457292887 9.055385138137417 9.000000000000000 12.041594578792296 11.313708498984761 10.630145812734650 10.000000000000000 9.433981132056603 8.944271909999159 8.544003745317530 8.246211251235321 8.062257748298549 8.000000000000000 11.401754250991379 10.630145812734650 9.899494936611665 9.219544457292887 8.602325267042627 8.062257748298549 7.615773105863909 7.280109889280518 7.071067811865476 7.000000000000000 10.816653826391969 10.000000000000000 9.219544457292887 8.485281374238570 7.810249675906654 7.211102550927978 6.708203932499369 6.324555320336759 6.082762530298219 6.000000000000000 10.295630140987001 9.433981132056603 8.602325267042627 7.810249675906654 7.071067811865476 6.403124237432849 5.830951894845301 5.385164807134504 5.099019513592784 5.000000000000000 9.848857801796104 8.944271909999159 8.062257748298549 7.211102550927978 6.403124237432849 5.656854249492381 5.000000000000000 4.472135954999580 4.123105625617661 4.000000000000000 9.486832980505138 8.544003745317530 7.615773105863909 6.708203932499369 5.830951894845301 5.000000000000000 4.242640687119285 3.605551275463989 3.162277660168380 3.000000000000000 9.219544457292887 8.246211251235321 7.280109889280518 6.324555320336759 5.385164807134504 4.472135954999580 3.605551275463989 2.828427124746190 2.236067977499790 2.000000000000000 9.055385138137417 8.062257748298549 7.071067811865476 6.082762530298219 5.099019513592784 4.123105625617661 3.162277660168380 2.236067977499790 1.414213562373095 1.000000000000000 9.000000000000000 8.000000000000000 7.000000000000000 6.000000000000000 5.000000000000000 4.000000000000000 3.000000000000000 2.000000000000000 1.000000000000000 0.000000000000000
diff --git a/src/ann.c b/src/ann.c
new file mode 100644
index 0000000..8b0cb27
--- /dev/null
+++ b/src/ann.c
@@ -0,0 +1,64 @@
+/* ...this is an externals for comouting Aritficial Neural Networks...
+ thikn aboiut this
+
+ 0201:forum::für::umläute:2001
+*/
+
+#include "ann.h"
+
+typedef struct ann
+{
+ t_object t_ob;
+} t_ann;
+
+t_class *ann_class;
+
+/* do a little help thing */
+
+static void ann_help(void)
+{
+ post("\n\n...this is the ann external "VERSION"..\n");
+ post("self-organized maps"
+ "\n\tann_som"
+ "");
+ post("\n(l) forum::für::umläute 2001\n"
+ "this software is under the GnuGPL that is provided with these files");
+}
+
+void *ann_new(void)
+{
+ t_ann *x = (t_ann *)pd_new(ann_class);
+ return (void *)x;
+}
+
+void ann_som_setup();
+
+/*
+ waiting to be released in near future:
+ ANN_SOM : self organized maps
+ ANN_PERCEPTRON : perceptrons
+ ANN_MLP : multilayer perceptrons
+
+ waiting to be realeased sometimes
+ ANN_RBF : radial basis functions
+*/
+
+
+
+void ann_setup(void)
+{
+ ann_som_setup();
+
+
+ /* ************************************** */
+
+ post("\n\t................................");
+ post("\t...artificial neural networks...");
+ post("\t..........version "VERSION"..........");
+ post("\t....forum::für::umläute 2001....");
+ post("\t....send me a 'help' message....");
+ post("\t................................\n");
+
+ ann_class = class_new(gensym("ann"), ann_new, 0, sizeof(t_ann), 0, 0);
+ class_addmethod(ann_class, ann_help, gensym("help"), 0);
+}
diff --git a/src/ann.h b/src/ann.h
new file mode 100644
index 0000000..48452d8
--- /dev/null
+++ b/src/ann.h
@@ -0,0 +1,15 @@
+/* ********************************************** */
+/* the ANN external */
+/* ********************************************** */
+/* forum::für::umläute */
+/* ********************************************** */
+
+#ifndef INCLUDE_ANN_H__
+#define INCLUDE_ANN_H__
+
+#include "m_pd.h"
+
+/* to beautify the logo make sure to make the VERSION-info 4 chars long */
+#define VERSION "0.1."
+
+#endif
diff --git a/src/ann_som.c b/src/ann_som.c
new file mode 100644
index 0000000..3247e39
--- /dev/null
+++ b/src/ann_som.c
@@ -0,0 +1,721 @@
+/* ann_som :
+ part of the ARTIFICIAL NEURAL NETWORK external for PURE DATA
+ SELF-ORGANIZED MAP : instar learning-rule
+
+ (l) 0201:forum::für::umläute:2001
+ this software is licensed under the GNU General Public License
+*/
+
+#include "ann.h"
+#include <math.h>
+#ifdef NT
+#define sqrtf sqrt
+#endif
+
+#if 1
+#include <stdio.h>
+#include <fcntl.h>
+#include <string.h>
+#ifdef linux
+#include <unistd.h>
+#endif
+#ifdef NT
+#include <io.h>
+#endif
+#endif
+
+/* ****************************************************************************** */
+/* som : save and load messages... */
+
+#define INSTAR 1
+#define OUTSTAR 2
+#define KOHONEN 0
+
+/* learning-rule
+ INSTAR : instar learning-rule
+*/
+
+#define TRAIN 0
+#define TEST 1
+
+
+typedef struct _som {
+ t_object x_obj;
+ t_outlet *left, *right;
+
+ int rule; /* INSTAR, OUTSTAR, KOHONEN */
+ int mode; /* TRAIN, TEST */
+
+ t_symbol *filename;
+ int defaultfilename; /* TRUE if filename is still "default.som" */
+
+ int num_neurX, num_neurY; /* for 2dim-fields */
+ int num_neurons; /* num_neurX * num_neurY */
+ int num_sensors;
+
+ t_float **weights; /* the neural network (pointer to neuron (neuron is a pointer to an array of weights)) */
+ t_float **dist; /* squaredistances between neurons (for neighbourhood) (pointer to neuron (is a pointer to an array of distances))*/
+
+ t_float *workingspace; /* a for comparing data*/
+
+ double lr, lr_factor, lr_bias; /* learning rate: lr(n)=(lr(n-1)*lr_factor; LR=lr(n)+lr_bias */
+ double nb, nb_factor, nb_bias; /* neighbourhood */
+
+ /* something for reading/writing to files */
+ t_canvas *x_canvas;
+ t_symbol *x_dir;
+
+} t_som;
+
+static t_class *som_class;
+
+/* ----------------- private functions -------------------- */
+
+static void som_killsom(t_som *x)
+{
+ /* kill the weights-field */
+ int i=x->num_neurons;
+
+ while (i--) {
+ freebytes(x->weights[i], sizeof(x->weights[i]));
+ x->weights[i]=0;
+ }
+ freebytes(x->weights, sizeof(x->weights));
+ x->weights = 0;
+
+ /* kill the dist-field */
+ i=x->num_neurons;
+
+ while (i--) {
+ freebytes(x->dist[i], sizeof(x->dist[i]));
+ x->dist[i]=0;
+ }
+ freebytes(x->dist, sizeof(x->dist));
+ x->dist = 0;
+
+ /* kill the working-space */
+ freebytes(x->workingspace, sizeof(x->workingspace));
+ x->workingspace = 0;
+}
+
+static void som_makedist(t_som *x)
+{
+ int i, j;
+
+ x->dist = (t_float **)getbytes(x->num_neurons * sizeof(t_float *));
+
+ for (i=0; i<x->num_neurons; i++) {
+ int x1 = (i%x->num_neurX), y1 = (i/x->num_neurX);
+ x->dist[i]=(t_float *)getbytes(x->num_neurons * sizeof(t_float));
+
+ for (j=0; j<x->num_neurons; j++) {
+ int x2 = (j%x->num_neurX), y2 = (j/x->num_neurX);
+ x->dist[i][j] = sqrt((x1-x2)*(x1-x2)+(y1-y2)*(y1-y2));
+ }
+ }
+}
+
+static int som_whosthewinner(t_som *x, t_float *senses)
+{
+ t_float min_dist = 0;
+ int min_n = x->num_neurons-1;
+ t_float *weight = x->weights[min_n];
+ int n = x->num_sensors;
+
+ while (n--) {
+ t_float f = senses[n] - weight[n];
+ min_dist += f*f;
+ }
+
+ n=x->num_neurons-1;
+ while (n--) {
+ int s = x->num_sensors;
+
+ t_float dist = 0;
+ weight = x->weights[n];
+
+ while (s--) {
+ t_float f;
+ f = senses[s] - weight[s];
+ dist += f*f;
+ }
+ if (dist<min_dist) {
+ min_dist = dist;
+ min_n = n;
+ }
+ }
+
+ return min_n;
+}
+
+static void som_createnewsom(t_som *x, int sens, int nx, int ny)
+{ /* create a new SOM */
+ int i, j;
+
+ /* clean up the old SOM */
+ som_killsom(x);
+
+
+ /* make new SOM */
+ x->num_neurons = nx * ny;
+ x->num_neurX = nx;
+ x->num_neurY = ny;
+ x->num_sensors = sens;
+
+ x->weights = (t_float **)getbytes(x->num_neurons * sizeof(t_float *));
+ for (i=0; i<x->num_neurons; i++) {
+ x->weights[i]=(t_float *)getbytes(x->num_sensors * sizeof(t_float));
+
+ for (j=0; j<x->num_sensors; j++) x->weights[i][j] = 0;
+ }
+
+ /* make new dist */
+ som_makedist(x);
+
+ /* make new workingspace */
+ x->workingspace = (t_float *)getbytes(x->num_sensors * sizeof(t_float));
+ for (i=0; i<x->num_sensors; i++) x->workingspace[i]=0.f;
+}
+
+/* ----------------- public functions ---------------------- */
+
+static void som_list(t_som *x, t_symbol *s, int argc, t_atom *argv)
+{ /* present the data */
+ int i = x->num_sensors;
+ // t_float *data = (t_float *)getbytes(sizeof(t_float) * i);
+ t_float *data = x->workingspace;
+ t_float *dummy = data;
+ int winner;
+
+ t_float learningrate = x->lr+x->lr_bias, neighbourhood = x->nb+x->nb_bias;
+
+ /* first: extract the data */
+ /* check if there is enough input data; fill up with zeros if not; if there's plenty, maybe forget about the rest */
+ if ((i = x->num_sensors - argc) > 0) {
+ dummy = data + argc;
+ while (i--) *dummy++ = 0;
+ i = x->num_sensors;
+ } else i = x->num_sensors;
+ dummy = data;
+ /* really get the data */
+ while (i--) *dummy++ = atom_getfloat(argv++);
+
+ /* second: get the winning neuron */
+ winner = som_whosthewinner(x, data);
+
+ if (x->mode == TRAIN) {
+ /* third: learn something */
+ /* update all the neurons that are within the neighbourhood */
+ i=x->num_neurons;
+ switch (x->rule) {
+ case OUTSTAR:
+ while (i--) {
+ t_float dist = x->dist[winner][i];
+ if (neighbourhood > dist) {
+ t_float factor = 1 - dist/neighbourhood;
+ t_float *weight=x->weights[i];
+ int s = x->num_sensors;
+
+ while (s--) weight[s] += learningrate*data[s]*(factor-weight[s]);
+ }
+ }
+ break;
+ case INSTAR:
+ while (i--) {
+ t_float dist = x->dist[winner][i];
+ if (neighbourhood > dist) {
+ t_float factor = learningrate * (1 - dist/neighbourhood);
+ t_float *weight=x->weights[i];
+ int s = x->num_sensors;
+
+ while (s--) weight[s] += (data[s]-weight[s])*factor;
+ }
+ }
+ break;
+ default:
+ /* KOHONEN rule */
+ while (i--) {
+ t_float dist = x->dist[winner][i];
+ if (neighbourhood > dist) {
+ t_float *weight=x->weights[i];
+ int s = x->num_sensors;
+
+ while (s--) weight[s] += (data[s]-weight[s])*learningrate;
+ }
+ }
+ }
+
+ /* update learning-rate and neighbourhood */
+ x->lr *= x->lr_factor;
+ x->nb *= x->nb_factor;
+ }
+
+ /* finally: do the output thing */
+ /* do the output thing */
+ outlet_float(x->x_obj.ob_outlet, winner);
+
+ // freebytes(data, sizeof(t_float)*x->num_sensors);
+}
+
+static void som_bang(t_som *x)
+{ /* re-trigger the last output */
+ error("som_bang: nothing to do");
+}
+
+static void som_init(t_som *x, t_symbol *s, int argc, t_atom *argv)
+{ /* initialize the neuron-weights */
+ int i, j;
+ t_float f;
+
+ switch (argc) {
+ case 0:
+ case 1:
+ f = (argc)?atom_getfloat(argv):0;
+ for (i=0; i<x->num_neurons; i++)
+ for (j=0; j<x->num_sensors; j++)
+ x->weights[i][j]=f;
+ break;
+ default:
+ if (argc == x->num_sensors) {
+ for (i=0; i<x->num_neurons; i++)
+ for (j=0; j<x->num_sensors; j++)
+ x->weights[i][j]=atom_getfloat(&argv[j]);
+ } else
+ error("som_init: you should pass a list of expected mean-values for each sensor to the SOM");
+ }
+}
+
+
+static void som_makenewsom(t_som *x, t_symbol *s, int argc, t_atom *argv)
+{ /* create a new SOM */
+ int sens, nx, ny;
+
+
+ /* check whether there is sufficient data to create a new SOM */
+ if ((argc != 2) && (argc !=3)) {
+ error("som_new: wrong number of arguments (only 2 or 3 parameters are allowed)");
+ return;
+ }
+
+ /* 3 arguments : #sensors #neurX #neurY :: 2D-field of neurons with neurX * neurY items
+ 2 arguments : #sensors #neurXY :: 2D-field of neurons with neurXY* neurXY items
+
+ to create more-dimensional fields, we now have to manually adjust the SOM-file (change the distances...)
+ LATER, we might do a function "ann_makedist"
+ */
+
+ sens = atom_getfloat(argv);
+ if (sens <= 0) {
+ error("some_new: number of sensors must be >= 1");
+ return;
+ }
+
+ if (argc==3) {
+ nx = atom_getint(argv+1);
+ ny = atom_getint(argv+2);
+ if ((nx<=0) || (ny<=0)) {
+ error("some_new: number of neurons must be >= 1");
+ return;
+ }
+ } else {
+ nx = atom_getint(argv+1);
+ if (nx<=0) {
+ error("some_new: number of neurons must be >= 1");
+ return;
+ }
+ ny = nx;
+ }
+
+ som_createnewsom(x, sens, nx, ny);
+}
+
+static void som_train(t_som *x)
+{ /* set the mode to TRAIN */
+ x->mode = TRAIN;
+}
+static void som_test(t_som *x)
+{ /* set the mode to TEST */
+ x->mode = TEST;
+}
+
+static void som_rule(t_som *x, t_symbol *s, int argc, t_atom *argv)
+{ /* set the learning rule */
+ int rule=-1;
+
+ if (argc>1) {
+ error("som_rule: only 1 argument may be specified");
+ return;
+ }
+ if (argc == 0) {
+ post("som_rule: you are currently training with the %s rule", (x->rule==INSTAR)?"INSTAR":(x->rule==OUTSTAR)?"OUTSTAR":"KOHONEN");
+ return;
+ }
+
+ if (argv->a_type==A_FLOAT) rule=atom_getint(argv);
+ else if (argv->a_type==A_SYMBOL) {
+ char *name=atom_getsymbol(argv)->s_name;
+ if (!strcmp(name, "instar") && !strcmp(name, "INSTAR")) rule=INSTAR;
+ else if (!strcmp(name, "outstar") && !strcmp(name, "OUTSTAR")) rule=OUTSTAR;
+ else if (!strcmp(name, "kohonen") && !strcmp(name, "KOHONEN")) rule=KOHONEN;
+ }
+
+ switch (rule) {
+ case KOHONEN:
+ case INSTAR:
+ case OUTSTAR:
+ x->rule=rule;
+ break;
+ default:
+ error("som_rule: you specified an invalid rule !");
+ }
+}
+
+
+static void som_learn(t_som *x, t_symbol *s, int argc, t_atom *argv)
+{ /* set a new LEARNINGRATE */
+ switch (argc) {
+ case 3:
+ x->lr_bias = atom_getfloat(&argv[2]);
+ case 2:
+ x->lr_factor = atom_getfloat(&argv[1]);
+ case 1:
+ x->lr = atom_getfloat(&argv[0]);
+ break;
+ default:
+ error("som_learn: you should pass up to 4 learning-rate parameters");
+ }
+}
+static void som_neighbour(t_som *x, t_symbol *s, int argc, t_atom *argv)
+{ /* set a new NEIGHBOURHOOD */
+ switch (argc) {
+ case 3:
+ x->nb_bias = atom_getfloat(&argv[2]);
+ case 2:
+ x->nb_factor = atom_getfloat(&argv[1]);
+ case 1:
+ x->nb = atom_getfloat(&argv[0]);
+ break;
+ default:
+ error("som_neighbour: you should pass up to 4 neighbourhood parameters");
+ }
+}
+
+static void som_read(t_som *x, t_symbol *s, int argc, t_atom *argv)
+{ /* read a som-file */
+
+ int fd;
+ char filnam[MAXPDSTRING];
+ char buf[MAXPDSTRING], *bufptr;
+
+ int neuronsX, neuronsY, sensors, rule=0;
+ double lr[3], nb[3];
+ t_float dummy;
+ char *text=0;
+ int i, j;
+ t_float *fp;
+
+ FILE *f=0;
+
+ text = (char *)getbytes(MAXPDSTRING*sizeof(char));
+
+ if (argc>0) {
+ x->filename = atom_gensym(argv);
+ x->defaultfilename = 0;
+ }
+ if (x->defaultfilename) error("som_read: reading from default file \"%s\"", x->filename->s_name);
+
+ if ((fd = open_via_path(canvas_getdir(x->x_canvas)->s_name,
+ x->filename->s_name, "", buf, &bufptr, MAXPDSTRING, 0)) < 0) {
+ error("%s: can't open", x->filename->s_name);
+ return;
+ }
+ else
+ close (fd);
+
+ /* open */
+ sys_bashfilename(x->filename->s_name, filnam);
+ dummy = 0;
+
+ while (f == 0) {
+ if (!(f = fopen(filnam, "r"))) {
+ error("msgfile_read: unable to open %s", filnam);
+ return;
+ }
+
+ /* read */
+
+ /* read header */
+ if ( (dummy=fscanf(f,"SOM:\n%d",&sensors)) != 1) {
+ error("som_read: error reading file\n");
+ break;
+ }
+ if ( (dummy=fscanf(f,"%d",&neuronsX)) != 1) {
+ error("som_read: error reading file\n");
+ break;
+ }
+ if ( (dummy=fscanf(f,"%d",&neuronsY)) != 1) {
+ error("som_read: error reading file\n");
+ break;
+ }
+ fscanf(f,"%s",text);
+ if (!strcmp("INSTAR", text)) rule = INSTAR;
+ else if (!strcmp("OUTSTAR", text)) rule = OUTSTAR;
+ else if (!strcmp("KOHONEN", text)) rule = KOHONEN;
+
+ for (i=0; i<3; i++)
+ if ( (fscanf(f,"%lf",&lr[i])) != 1) {
+ error("som_read: error reading file\n");
+ break;
+ }
+ for (i=0; i<3; i++)
+ if ( (fscanf(f,"%lf",&nb[i])) != 1) {
+ error("som_read: error reading file\n");
+ break;
+ }
+
+ /* we now have a valid SOM-definition
+ let's create a dummy SOM */
+
+ som_createnewsom(x, sensors, neuronsX, neuronsY);
+
+ x->rule = rule;
+
+ x->lr=lr[0];
+ x->lr_factor=lr[1];
+ x->lr_bias=lr[2];
+
+ x->nb=nb[0];
+ x->nb_factor=nb[1];
+ x->nb_bias=nb[2];
+
+ /* read the weights */
+
+ if ((fscanf(f,"\nweights:\n %f",&dummy)) != 1) {
+ break;
+ }
+
+ i=0;
+ while (i<x->num_neurons) {
+ j = x->num_sensors;
+ fp= x->weights[i];
+ while (j--) {
+ *fp++=dummy;
+ if ((fscanf(f,"%f",&dummy)) != 1) {
+ break;
+ }
+ }
+ j = x->num_sensors;
+ i++;
+ }
+
+ /* finally read the distances */
+ if ((fscanf(f,"\ndists:\n %f",&dummy)) != 1) {
+ break;
+ }
+
+ i=0;
+ while (i<x->num_neurons) {
+ j = x->num_neurons;
+ fp= x->dist[i];
+ while (j--) {
+ *fp++=dummy;
+ if ((fscanf(f,"%f",&dummy)) != 1) {
+ break;
+ }
+ }
+ j = x->num_sensors;
+ i++;
+ }
+
+ }
+
+ /* close file */
+ if (f) fclose(f);
+
+
+}
+
+static void som_write(t_som *x, t_symbol *s, int argc, t_atom *argv)
+{ /* write a som-file */
+ char filnam[MAXPDSTRING];
+ char buf[MAXPDSTRING];
+ char *text=0;
+ int textlen;
+
+ FILE *f=0;
+
+ int i;
+
+ if (argc>0) {
+ x->filename = atom_gensym(argv);
+ x->defaultfilename = 0;
+ }
+ if (x->defaultfilename) error("som_write: writing to default file \"%s\"", x->filename->s_name);
+
+ canvas_makefilename(x->x_canvas, x->filename->s_name, buf, MAXPDSTRING);
+ sys_bashfilename(x->filename->s_name, filnam);
+
+ while (f==0) {
+ /* open file */
+ if (!(f = fopen(filnam, "w"))) {
+ error("msgfile : failed to open %s", filnam);
+ } else {
+
+ /* write header information */
+ text=(char *)getbytes(sizeof(char)*MAXPDSTRING);
+ sprintf(text, "SOM:\n%d %d %d %s\n%.15f %.15f %.15f\n%.15f %.15f %.15f\nweights:\n",
+ x->num_sensors, x->num_neurX, x->num_neurY, (x->rule==INSTAR)?"INSTAR":(x->rule==OUTSTAR)?"OUTSTAR":"KOHONEN",
+ x->lr, x->lr_factor, x->lr_bias,
+ x->nb, x->nb_factor, x->nb_bias);
+ textlen = strlen(text);
+
+ if (fwrite(text, textlen*sizeof(char), 1, f) < 1) {
+ error("msgfile : failed to write %s", filnam); break;
+ }
+
+ /* write weights */
+ for (i=0; i<x->num_neurons; i++) {
+ int j=x->num_sensors;
+ t_float *weight = x->weights[i];
+ while (j--) {
+ sprintf(text, " %.15f", *weight++);
+ textlen=strlen(text);
+ if (fwrite(text, textlen*sizeof(char), 1, f) < 1) {
+ error("msgfile : failed to write %s", filnam); break;
+ }
+ }
+ if (fwrite("\n", sizeof(char), 1, f) < 1) {
+ error("msgfile : failed to write %s", filnam); break;
+ }
+ }
+
+ /* write dists */
+ if (fwrite("dists:\n", 7*sizeof(char), 1, f) < 1) {
+ error("msgfile : failed to write %s", filnam); break;
+ }
+ for (i=0; i<x->num_neurons; i++) {
+ int j=x->num_neurons;
+ t_float *dist = x->dist[i];
+ while (j--) {
+ sprintf(text, " %.15f", *dist++);
+ textlen=strlen(text);
+ if (fwrite(text, textlen*sizeof(char), 1, f) < 1) {
+ error("msgfile : failed to write %s", filnam); break;
+ }
+ }
+ if (fwrite("\n", sizeof(char), 1, f) < 1) {
+ error("msgfile : failed to write %s", filnam); break;
+ }
+ }
+ }
+ }
+ /* close file */
+ if (f) fclose(f);
+
+ freebytes(text, sizeof(text));
+}
+
+
+static void som_help(t_som *x)
+{
+ post("\nann_som\t:: self orgranized map");
+ post("<f1> <f2> <f3>... <fn>\t: train/test som with data"
+ "\nlearn\t\t:... "
+
+ "\nhelp\t\t: show this help");
+ post("creation: \"ann_som <som-file>\": <som-file> defines a file to be loeaded as a som");
+}
+
+
+static void som_print(t_som *x)
+{
+ char c = (x->defaultfilename)?'\0':'\"';
+ post("\nann_som\t:: self orgranized map");
+ post("rule=%s\tmode=%s", (x->rule==INSTAR)?"INSTAR":(x->rule==OUTSTAR)?"OUTSTAR":"KOHONEN", (x->mode==TEST)?"TEST":"TRAIN");
+ post("file = %c%s%c", c, x->filename->s_name,c );
+ post("neurons = %d*%d = %d\tsensors=%d", x->num_neurX, x->num_neurY, x->num_neurons, x->num_sensors);
+ post("learning-rate : lr=%.15f\tlr_x=%.15f\tlr_o=%.15f", x->lr, x->lr_factor, x->lr_bias);
+ post("neighbourhood : nb=%.15f\tnb_x=%.15f\tnb_o=%.15f\n", x->nb, x->nb_factor, x->nb_bias);
+
+}
+static void som_free(t_som *x)
+{
+ som_killsom(x);
+}
+
+static void *som_new(t_symbol *s, int argc, t_atom *argv)
+{
+ t_som *x = (t_som *)pd_new(som_class);
+
+ outlet_new(&x->x_obj, 0);
+
+ x->rule = INSTAR;
+ x->mode = TRAIN;
+
+ x->filename = gensym("default.som");
+ x->defaultfilename = 1;
+
+ x->num_neurX = 0;
+ x->num_neurY = 0;
+ x->num_neurons = 0;
+
+ x->num_sensors = 0;
+
+ x->weights = 0;
+ x->dist = 0;
+
+ x->lr = 1;
+ x->lr_factor = 0.999999999;
+ x->lr_bias = 0;
+
+ x->nb = 10;
+ x->nb_factor = 0.999999999;
+ x->nb_bias = 0.999999999;
+
+ x->x_canvas = canvas_getcurrent();
+
+
+ if ((argc==0) || (argv->a_type == A_SYMBOL)) {
+ /* load the som-file */
+ if (argc != 0) x->defaultfilename = 0;
+ som_read(x, s, argc, argv);
+ } else {
+ /* create a new som */
+ som_makenewsom(x, s, argc, argv);
+ }
+
+ return (x);
+}
+
+static void som_setup(void)
+{
+ som_class = class_new(gensym("ann_som"), (t_newmethod)som_new,
+ (t_method)som_free, sizeof(t_som), 0, A_GIMME, 0);
+
+ class_addlist(som_class, som_list);
+ class_addbang(som_class, som_bang);
+
+ class_addmethod(som_class, (t_method)som_makenewsom, gensym("new"), A_GIMME, 0);
+ class_addmethod(som_class, (t_method)som_init, gensym("init"), A_GIMME, 0);
+
+ class_addmethod(som_class, (t_method)som_learn, gensym("learn"), A_GIMME, 0);
+ class_addmethod(som_class, (t_method)som_neighbour, gensym("neighbour"), A_GIMME, 0);
+
+ class_addmethod(som_class, (t_method)som_train, gensym("train"), 0);
+ class_addmethod(som_class, (t_method)som_test, gensym("test"), 0);
+ class_addmethod(som_class, (t_method)som_rule, gensym("rule"), A_GIMME, 0);
+
+ class_addmethod(som_class, (t_method)som_read, gensym("read"), A_GIMME, 0);
+ class_addmethod(som_class, (t_method)som_write, gensym("write"), A_GIMME, 0);
+
+ class_addmethod(som_class, (t_method)som_print, gensym("print"), 0);
+ class_addmethod(som_class, (t_method)som_help, gensym("help"), 0);
+ class_sethelpsymbol(som_class, gensym("ann/som"));
+
+}
+
+void ann_som_setup(void)
+{
+ som_setup();
+}
+
diff --git a/src/makefile.irix b/src/makefile.irix
new file mode 100644
index 0000000..12272d1
--- /dev/null
+++ b/src/makefile.irix
@@ -0,0 +1,20 @@
+current: irix5
+
+TARGETS = linux \
+ ann_som
+
+SGI5OBJECTS = $(TARGETS:%=%.pd_irix5)
+
+# ----------------------- IRIX ----------------------------
+.SUFFIXES: .pd_irix5
+SGIINCLUDE = -I../../src
+
+irix5: $(SGIOBJECTS)
+
+.c.pd_irix5:
+ cc -g -w2 -fullwarn -mips2 -DFTS $(SGIINCLUDE) -c $*.c
+ ld -elf -shared -rdata_shared -o $*.pd_irix5 $*.o
+ rm $*.o
+
+clean::
+ rm *.o obj/* *.pd_irix5 so_locations rm *.pd_linux *~
diff --git a/src/makefile.linux b/src/makefile.linux
new file mode 100644
index 0000000..0df06bb
--- /dev/null
+++ b/src/makefile.linux
@@ -0,0 +1,76 @@
+current: all
+
+
+# the ANN-EXTERNAL-makefile
+# everything is GnuGPL that should come with the ann.tgz
+# NO WARRANTIES FOR ANYTHING
+# et cetera
+# (l) forum::für::umläute 2001
+
+# make sure that the "m_pd.h" is somehow available either by putting it into this
+# directory, by adding it's path to the INCLUDE-path or by putting it into an
+# already included path, e.g. "/usr/local/include/"
+
+#these are the user adjustables : adjust them to fit into your system
+# PD will install to $(DESTDIR)$(INSTALLL_PREFIX)$(PDLIBDIR), which is /usr/local/lib/pd
+# by default
+DESTDIR =
+INSTALL_PREFIX = /usr/local
+PDLIBDIR = /lib/pd
+#these were the user adjustables
+
+
+TARGETS = ann \
+ ann_som \
+
+
+# ----------------------- LINUX ----------------------------
+.SUFFIXES: .pd_linux
+
+
+LINUXOBJECTS = $(TARGETS:%=%.o)
+ARCH = $(shell uname --machine)
+
+PD_DIR = $(DESTDIR)$(INSTALL_PREFIX)$(PDLIBDIR)
+
+ifeq (${ARCH},alpha)
+AFLAGS = -mieee -mcpu=ev56
+endif
+
+LINCLUDE =
+
+$(LINUXOBJECTS): *.h
+
+#CFLAGS = -O2 -g -Wall $(LINCLUDE) $(UCFLAGS) $(AFLAGS)
+CFLAGS = -O2 -O6 -funroll-loops -mpentiumpro -fomit-frame-pointer -Wall $(LINCLUDE) $(UCFLAGS) $(AFLAGS)
+
+everything: clean all install distclean
+
+distclean:
+ touch dummy.o
+ touch dummy.pd_linux
+ touch dummy~
+ rm *.o *.pd_linux *~
+
+clean:
+ touch dummy.o
+ touch dummy.pd_linux
+ rm *.o *.pd_linux
+
+all: $(LINUXOBJECTS)
+
+ @echo :: $(LINUXOBJECTS)
+
+ ld -export_dynamic -shared -o ann.pd_linux *.o -lc -lm
+ strip --strip-unneeded ann.pd_linux
+
+.c.pd_linux:
+ cc $(CFLAGS) -O2 -DPD -fPIC $(INCLUDE) -c -o $*.o $*.c
+
+
+install: installdocs
+ install -m 644 ann.pd_linux $(PD_DIR)/externs
+
+installdocs:
+ install -d $(PD_DIR)/doc/5.reference/ann
+ install -m644 ../examples/* $(PD_DIR)/doc/5.reference/ann