Visualization of polytopes in Python.

environment.yml

name: poly_vis
channels:
  - conda-forge
dependencies:
  - python>3.6
  - numpy
  - scipy
  - matplotlib
  - pyqt>=5.9
  - vtk>=8
  - jupyter
  - ipywidgets
  - ipyevents
  - pyvista
  - itkwidgets
  - mayavi
  - pip
  - pip:
    - meshio

Generators.txt

0	1	2	3	4		
0	1	5				
0	5	6				
0	6	7				
0	7	8				
0	3	9	10			
0	8	11				
0	9	11				
9	12	13				
12	13	14	15			
9	12	17				
12	16	17				
16	17	18	19			
12	16	20				
16	18	20	21			
12	20	22				
20	21	22	23			
12	22	24				
22	23	24	25			
24	25	26				
12	24	27				
24	26	27	28			
29	30	31	32			
29	30	33	34			
12	27	35				
12	14	35	36			
29	33	35	36			
27	28	35	37			
29	31	35	37			
30	32	38				
30	34	38				
9	17	19	39			
9	10	39				
1	2	40				
41	42	43				
41	42	44				
41	43	45	46			
1	5	40	45	47		
41	44	45	47			
5	6	45	48			
45	46	48	50			
48	49	50	51			
6	7	48	52			
48	49	52	53			
7	8	52	54			
52	53	54	55			
8	11	54	56			
9	11	56				
54	55	56	57			
9	56	57				
13	15	58	59	60		
58	60	61				
49	51	62				
49	53	62	63			
53	55	63	64			
9	13	59	65			
55	57	64	66			
9	57	65	66			
67	68	69				
67	68	70	71	72		
73	74	75				
73	74	76	77			
76	77	78	79			
78	79	80	81			
70	72	82	83			
80	81	82	83			
84	85	86				
87	88	89				
87	88	90				
87	89	91	92			
87	90	91	94			
84	85	91	93	94		
73	75	95	96			
91	92	95	96			
91	93	95	97			
73	76	95	98			
95	97	98	99			
76	78	98	100			
98	99	100	101			
78	80	100	102			
80	82	102				
100	101	102	103			
82	102	103				
70	82	104				
70	71	104	105			
82	106	107				
82	104	108				
82	106	108	109			
104	108	110				
108	109	110	111			
104	110	112				
110	111	112	113			
104	112	114				
112	113	114	115			
104	114	116				
114	115	116	117			
116	117	118				
104	105	119	120			
104	116	121				
104	119	121				
116	118	121	122			
119	121	122	123			
119	123	124	125			
119	120	124	126			
124	125	127	128			
124	126	127	129			
127	128	130				
127	129	130				
84	93	131				
93	97	131				
97	99	131				
99	101	131				
82	103	131				
101	103	131				
82	107	131	132			
84	86	131	132	133		
134	135	136	137			
134	137	138				
139	140	141				
139	140	142	143			
134	135	144	145	146		
144	145	147				
134	138	144	148			
144	147	148	149			
139	141	150	152			
150	151	152	153			
150	151	154				
139	142	150	154	155		
67	69	156	157			
145	146	156	157			
67	71	156	158			
145	147	156	158			
71	105	158	159			
105	120	159	160	161		
120	126	160	162			
126	129	162	163			
129	130	163				
147	149	158	159	164		
159	161	164				
14	15	165	166			
33	34	167	168			
34	38	168				
33	36	167	169			
14	36	165	169	170		
15	58	166	171			
151	154	166	171			
58	61	171	172			
154	155	171	172			
151	153	165	166	173		
165	170	173				
2	4	174	175			
2	40	174	176			
42	44	177				
44	47	177	178			
40	47	176	178	179		
85	86	180	181			
88	90	182				
90	94	182	183			
85	94	180	183	184		
86	133	181	185			
174	175	186	187			
174	176	186	188			
176	179	188	189			
180	181	190	191			
180	184	190	192			
181	185	191	193			
136	194	195	196	197		
194	195	198				
194	196	199				
194	198	199	200			
186	187	195	198	201		
195	197	201				
186	188	198	200	202		
188	189	202				
203	204	205				
203	204	206	207			
203	206	208				
143	203	205	208	209		
190	191	206	207	210		
190	192	210				
191	193	206	208	211		
208	209	211				
212	213	214	215			
213	214	216				
136	212	217				
212	217	218				
212	215	219				
212	218	219				
212	213	220				
213	216	220	221			
212	220	222				
220	221	222	223	225		
223	224	225	226			
224	226	227				
212	222	229				
212	228	229				
230	231	232	233			
143	231	233				
230	232	234				
222	223	229	236			
228	229	235	236			
223	224	236	237			
235	236	237				
230	238	239				
235	238	239				
235	239	240	241			
230	239	241	242			
235	240	243				
230	242	244				
235	243	245				
230	244	246				
235	245	247				
230	246	248				
235	247	249				
230	248	250				
235	249	251				
230	250	252				
235	251	253				
230	252	254				
235	253	255				
230	254	256				
235	255	257				
230	256	258				
235	257	259				
230	258	260				
230	260	261				
235	259	262				
230	261	263				
235	262	264				
230	263	265				
235	264	266				
230	265	267				
235	266	268				
230	267	269				
235	237	270				
235	268	270				
230	269	271				
230	271	272				
230	234	273				
230	272	273				
240	241	274				
240	243	274	275			
243	245	275	276			
245	247	276	277			
247	249	277	278			
249	251	278	279			
251	253	279	280			
253	255	280	281			
255	257	281	282			
257	259	282	283			
259	262	283	284			
262	264	284	285			
264	266	285	286			
266	268	286	287			
224	227	237	270	288		
268	270	287	288			
289	290	291				
289	290	292	293			
143	292	294				
292	294	295				
292	293	296				
292	295	296				
289	292	297				
289	291	297	298			
299	300	301	302			
297	298	300	302	303		
292	297	303				
299	301	304				
136	305	306				
305	306	307	308			
307	308	309				
299	300	311	312			
310	311	312				
300	303	312	314			
310	312	313	314			
292	303	314				
292	313	314				
307	315	316				
310	315	316				
310	316	317	318			
307	316	318	319			
310	317	320				
307	319	321				
310	320	322				
307	321	323				
310	322	324				
307	323	325				
307	325	326				
310	324	327				
307	326	328				
310	327	329				
307	328	330				
310	329	331				
307	330	332				
310	331	333				
307	332	334				
310	333	335				
307	334	336				
310	335	337				
307	336	338				
310	337	339				
307	338	340				
310	339	341				
307	340	342				
310	341	343				
307	342	344				
310	343	345				
307	344	346				
310	311	347				
310	345	347				
307	346	348				
307	348	349				
307	309	350				
307	349	350				
317	318	351				
317	320	351	352			
320	322	352	353			
322	324	353	354			
324	327	354	355			
327	329	355	356			
329	331	356	357			
331	333	357	358			
333	335	358	359			
335	337	359	360			
337	339	360	361			
339	341	361	362			
341	343	362	363			
343	345	363	364			
299	304	311	347	365		
345	347	364	365			
214	215	366	367			
214	216	366	368	369		
368	369	370				
136	217	371				
217	218	371	372			
215	219	367	373			
218	219	372	373			
216	221	368	374			
221	225	374				
225	226	374	375			
368	370	374	375	376		
375	376	377				
378	379	380				
284	285	378	381			
378	380	381	382			
285	286	381	383			
381	382	383	384			
286	287	383	385			
383	384	385	386			
287	288	385	387			
227	288	387				
226	227	375	377	387	388	
385	386	387	388			
232	233	389	390			
143	233	390				
232	234	389	391			
241	242	392				
242	244	392	393			
244	246	393	394			
246	248	394	395			
248	250	395	396			
250	252	396	397			
252	254	397	398			
254	256	398	399			
256	258	399	400			
258	260	400	401			
260	261	401	402			
261	263	402	403			
263	265	403	404			
265	267	404	405			
267	269	405	406			
269	271	406	407			
271	272	407	408			
272	273	408	409			
234	273	391	409	410		
241	274	411				
241	392	411				
274	275	411	412			
392	393	411	412			
275	276	412	413			
393	394	412	413			
276	277	413	414			
394	395	413	414			
277	278	414	415			
395	396	414	415			
278	279	415	416			
396	397	415	416			
279	280	416	417			
397	398	416	417			
280	417	418				
398	417	418				
280	281	418	419			
398	399	418	419			
281	282	419	420			
399	400	419	420			
283	284	378	379	421		
400	401	420	421			
282	283	420	421			
379	401	402	421	422		
402	403	422	423			
403	404	423	424			
404	405	424	425			
405	406	425	426			
406	407	426	427			
407	408	427	428			
408	409	428	429			
409	410	429				
430	431	432				
290	291	430	431	433		
290	293	433	434			
143	294	435				
294	295	435	436			
293	296	434	437			
295	296	436	437			
291	298	430	439			
301	302	438	439			
298	302	439				
430	432	438	439	440		
438	440	441				
442	443	444				
361	362	442	445			
442	444	445	446			
362	363	445	447			
445	446	447	448			
363	364	447	449			
447	448	449	450			
364	365	449	451			
304	365	451				
301	304	438	441	451	452	
449	450	451	452			
136	306	453				
306	308	453	454			
308	309	454	455			
318	319	456				
319	321	456	457			
321	323	457	458			
323	325	458	459			
325	326	459	460			
326	328	460	461			
328	330	461	462			
330	332	462	463			
332	334	463	464			
334	336	464	465			
336	338	465	466			
338	340	466	467			
340	342	467	468			
342	344	468	469			
344	346	469	470			
346	348	470	471			
348	349	471	472			
349	350	472	473			
309	350	455	473	474		
318	351	475				
318	456	475				
351	352	475	476			
456	457	475	476			
352	353	476	477			
457	458	476	477			
353	354	477	478			
458	459	477	478			
354	355	478	479			
459	460	478	479			
355	356	479	480			
460	461	479	480			
356	357	480	481			
461	462	480	481			
357	481	482				
462	481	482				
357	358	482	483			
462	463	482	483			
358	359	483	484			
463	464	483	484			
360	361	442	443	485		
359	360	484	485			
464	465	484	485			
443	465	466	485	486		
466	467	486	487			
467	468	487	488			
468	469	488	489			
469	470	489	490			
470	471	490	491			
471	472	491	492			
472	473	492	493			
473	474	493				
68	72	494				
72	83	494				
81	83	494				
74	77	494				
77	79	494				
79	81	494				
74	75	494	495			
494	495	496	497			
68	69	494	496	498		
495	497	499				
500	501	502				
500	501	503	504			
88	89	503	504	505		
89	92	505	506			
75	96	495	499	507		
92	96	506	507			
366	367	496	498	508		
366	369	508				
496	497	508				
500	503	509				
503	505	509				
505	506	509				
506	507	509				
499	507	509				
369	370	497	499	508	509	510
500	502	509	510			
370	376	510				
135	136	511				
136	371	511				
135	146	511	512			
371	372	511	512			
69	157	498	513			
367	373	498	513			
146	157	512	513			
372	373	512	513			
514	515	516				
514	515	517				
514	516	518	519			
501	502	518	520			
514	517	518	520			
501	504	518	521			
88	504	521				
518	519	521	522			
88	182	521	522	523		
182	183	523	524			
183	184	524				
515	517	525				
376	377	502	510	520	526	
386	388	525	526			
517	520	525	526			
377	388	526				
515	516	527				
516	519	527	528			
519	522	528	529			
522	523	529	530			
184	192	524	531			
523	524	530	531	532		
379	380	533				
379	422	534				
379	533	534				
380	382	533	535			
422	423	534	536			
533	534	535	536			
384	386	515	525	537		
382	384	535	537			
423	424	536	538			
535	536	537	538			
515	527	537	538	539		
424	425	538	539			
425	426	539	540			
527	528	539	540			
426	427	540	541			
528	529	540	541			
427	428	541	542			
529	530	541	542			
530	532	542				
204	205	543	544			
389	390	543	544			
143	205	544				
143	390	544				
204	207	543	545			
389	391	543	545	546		
391	410	546				
207	210	545	547			
545	546	547				
428	429	532	542	548		
192	210	531	547	548		
410	429	546	547	548		
531	532	548				
549	550	551				
552	553	554				
552	553	555	556			
42	43	555	556	557		
43	46	557	558			
50	51	549	550	559		
46	50	558	559			
51	62	549	560			
65	66	560				
62	63	560				
63	64	560				
64	66	560				
59	60	560				
59	65	560				
549	551	560	561			
60	61	560	561	562		
552	555	563				
555	557	563				
557	558	563				
558	559	563				
550	559	563				
433	434	561	562	564		
431	433	564				
551	561	564				
552	554	563	565			
431	432	550	551	563	564	565
432	440	565				
142	143	566				
143	435	566				
142	155	566	567			
435	436	566	567			
61	172	562	568			
434	437	562	568			
155	172	567	568			
436	437	567	568			
569	570	571				
569	570	572				
569	571	573	574			
553	554	573	575			
569	572	573	575			
553	556	573	576			
42	556	576				
573	574	576	577			
42	177	576	577	578		
177	178	578	579			
178	179	579				
570	572	580				
440	441	554	565	575	581	
450	452	580	581			
572	575	580	581			
441	452	581				
570	571	582				
571	574	582	583			
574	577	583	584			
577	578	584	585			
179	189	579	586			
578	579	585	586	587		
443	444	588				
443	486	589				
443	588	589				
444	446	588	590			
486	487	589	591			
588	589	590	591			
448	450	570	580	592		
446	448	590	592			
487	488	591	593			
590	591	592	593			
570	582	592	593	594		
488	489	593	594			
489	490	594	595			
582	583	594	595			
490	491	595	596			
583	584	595	596			
491	492	596	597			
584	585	596	597			
585	587	597				
136	196	598				
136	453	598				
196	199	598	599			
453	454	598	599			
199	200	599	600			
454	455	599	600	601		
455	474	601				
200	202	600	602			
600	601	602				
492	493	587	597	603		
189	202	586	602	603		
474	493	601	602	603		
586	587	603				
3	4	604	605			
3	10	604	606			
18	19	607	608			
18	21	607	609			
21	23	609	610			
23	25	610	611			
25	26	611	612			
26	28	612	613			
32	38	614				
31	32	614	615	616		
28	37	613	617			
31	37	615	617			
10	39	606	618			
19	39	608	618			
141	152	619				
619	620	621				
140	141	619	620	622		
140	143	622				
153	173	623				
152	153	619	621	623	624	
623	624	625				
614	616	626				
167	168	627	628			
167	169	627	629			
169	170	629				
38	168	628	630	631		
38	614	626	630	632		
630	631	633	634			
630	632	633	635			
636	637	638				
636	638	639				
633	635	640	641			
636	639	640	642			
640	641	642				
633	634	640	643			
636	637	640	643			
627	628	644	645			
170	173	623	625	629	646	
627	629	644	646			
628	631	645	647			
631	634	647	648			
637	638	649				
634	643	648	650			
637	643	649	650			
4	175	605	651			
187	201	652				
175	187	651	652	653		
652	653	654				
197	201	652	654	655		
136	197	655				
106	107	656	657			
106	109	656	658			
109	111	658	659			
111	113	659	660			
113	115	660	661			
115	117	661	662			
117	118	662	663			
118	122	663	664			
122	123	664	665			
123	125	665	666			
128	130	667				
125	128	666	667	668		
107	132	657	669			
132	133	669	670			
136	137	671				
138	148	672				
137	138	671	672	673		
672	673	674				
149	164	675				
148	149	672	674	675	676	
675	676	677				
160	161	678				
160	162	678	679			
667	668	680				
162	163	679	681			
130	163	681	682	683		
130	667	680	682	684		
685	686	687				
682	683	688	689			
685	688	689	690			
682	684	688	691			
685	686	688	691			
685	690	692	693			
685	687	692	694			
692	693	695				
692	694	695				
161	164	675	677	678	696	
678	679	696	697			
679	681	697	698			
681	683	698	699			
683	689	699	700			
689	690	700	701			
690	693	701	702			
693	695	702				
133	185	670	703			
193	211	704				
185	193	703	704	705		
704	705	706				
209	211	704	706	707		
143	209	707				
708	709	710	711			
604	605	708	709	712		
604	606	712				
606	618	712	713			
607	608	713				
607	609	713				
609	610	713				
610	611	713				
608	618	713				
708	712	713				
708	710	713	714			
713	714	715				
611	612	713	715	716	717	
612	613	716	718			
615	616	719				
613	617	718	720			
615	617	719	720			
621	624	721				
620	621	721	722	723		
620	622	722	724			
143	622	724				
721	723	725				
644	645	726	727			
726	727	728	729			
644	646	726	730			
625	646	730				
624	625	721	725	730	731	
726	728	730	731			
645	647	727	732			
727	729	732	733			
647	648	732	734			
732	733	734	735			
736	737	738	739			
648	650	734	740			
649	650	737	740			
734	735	740	741			
737	739	740	741			
736	738	742	743			
742	743	744	745			
744	745	746				
716	717	747				
716	718	747	748			
616	626	719	749	750		
718	720	748	751			
719	720	750	751			
626	632	749	752			
632	635	752	753			
635	641	753				
638	639	754				
639	642	754	755			
641	642	753	755	756		
638	649	736	737	757		
638	754	757	758	759		
754	755	759	760			
755	756	760				
736	742	757	761			
757	758	761	762			
742	744	761	763			
744	746	763				
761	762	763	764			
746	763	764				
605	651	709	765			
651	653	765				
709	711	765	766			
653	654	765	766	767		
654	655	767	768			
136	655	768				
656	658	769				
658	659	769				
659	660	769				
660	661	769				
661	662	769				
769	770	771				
769	771	772	773			
656	657	769	774			
657	669	774				
769	772	774				
662	663	769	770	775	776	
663	664	775	777			
664	665	777	778			
665	666	778	779			
666	668	779				
669	670	772	774	780		
772	773	780	781			
136	671	782				
671	673	782	783			
674	676	784				
673	674	783	784	785		
784	785	786				
677	696	787				
676	677	784	786	787	788	
696	697	787	789			
787	788	789	790			
697	698	789	791			
789	790	791	792			
698	699	791	793			
791	792	793	794			
699	700	793	795			
793	794	795	796			
700	701	795	797			
795	796	797	798			
701	702	797	799			
797	798	799	800			
799	800	801	802			
801	802	803	804			
803	804	805	806			
805	806	807				
775	776	808				
775	777	808	809			
777	778	809	810			
778	779	810	811			
668	680	779	811	812		
680	684	812	813			
684	691	813	815			
686	691	815				
686	687	814	815	816		
687	694	814	817			
694	695	817				
814	816	818				
814	817	818	819			
695	702	799	801	820		
695	817	819	820	821		
801	803	820	822			
820	821	822	823			
803	805	822	824			
805	807	824				
822	823	824	825			
807	824	825				
670	703	780	826			
703	705	826				
780	781	826	827			
705	706	826	827	828		
706	707	828	829			
143	707	829				
710	711	830	832			
212	830	831	832			
830	831	833				
715	717	834				
710	714	830	833	835		
714	715	834	835			
212	228	836				
228	235	836	838			
235	837	838				
722	723	839	840			
230	839	840				
230	231	840	841			
722	724	840	841			
143	231	841				
143	724	841				
230	842	843				
230	839	844				
230	842	844				
230	843	845				
230	845	846				
230	847	848				
235	849	850				
235	837	851				
235	849	851				
230	846	852				
230	847	852				
230	848	853				
235	850	854				
235	854	855				
230	853	856				
235	855	857				
230	856	858				
235	857	859				
230	858	860				
230	860	861				
235	859	862				
230	238	863				
235	238	863				
230	861	863	864			
235	862	863	864			
728	729	865	866			
842	843	865	866			
723	725	839	844	867		
728	731	865	867			
842	844	865	867			
725	731	867				
729	733	866	868			
843	845	866	868			
733	735	868	869			
845	846	868	869			
738	739	870	871			
847	848	870	871			
846	852	869	872			
735	741	869	872			
739	741	870	872			
847	852	870	872			
738	743	871	873			
848	853	871	873			
743	745	873	874			
853	856	873	874			
856	858	874	875			
858	860	875	876			
860	861	876	877			
861	864	877				
212	836	878				
836	838	878	880			
837	838	879	880			
849	850	881	882			
849	851	881	883			
837	851	879	883	884		
850	854	882	885			
854	855	885	886			
855	857	886	887			
857	859	887	888			
859	862	888	889			
862	864	889				
758	759	890	891			
881	882	890	891			
759	760	890	892			
881	883	890	892			
883	884	892				
882	885	891	893			
758	762	891	893			
762	764	893	894			
885	886	893	894			
746	764	894				
745	746	874	875	895		
746	886	887	894	895		
875	876	895	896			
887	888	895	896			
876	877	896	897			
888	889	896	897			
864	877	897				
864	889	897				
212	831	898				
212	878	898				
831	833	898	899			
717	747	834	900			
747	748	900				
748	751	900				
749	750	900				
750	751	900				
749	752	900				
752	753	900				
753	756	900	901			
833	835	899	902			
834	835	900	901	902		
756	760	884	892	901	903	
879	884	903				
878	880	898	899	904		
879	880	903	904			
901	902	903	904			
899	902	904				
711	766	832	905			
212	832	905				
766	767	905	906			
212	905	906				
767	768	906	907			
136	212	907				
136	768	907				
212	906	907				
908	909	910				
773	781	908	911			
292	908	909	911			
770	776	912				
771	773	908	910	913		
770	771	912	913			
136	305	914				
136	782	914				
310	915	916				
310	313	915	917			
292	313	917				
305	307	914	918			
782	783	914	918			
783	785	918	919			
307	918	919				
307	919	920				
307	920	921				
307	921	922				
307	922	923				
310	916	924				
307	923	925				
307	925	926				
307	926	927				
310	924	928				
307	927	929				
310	928	930				
307	929	931				
310	930	932				
310	932	933				
307	931	934				
310	933	935				
307	934	936				
310	315	937				
307	315	937				
307	937	938	939			
310	937	939	940			
310	935	941				
310	940	941				
307	936	942				
307	938	942				
785	786	919	920	943		
786	788	943				
788	790	943	944			
920	921	943	944			
790	792	944	945			
921	922	944	945			
792	794	945	946			
922	923	945	946			
794	796	946	947			
923	925	946	947			
796	798	947	948			
925	926	947	948			
798	800	948	949			
926	927	948	949			
800	802	949	950			
927	929	949	950			
802	804	950	951			
929	931	950	951			
804	806	951	952			
931	934	951	952			
934	936	952	953			
938	939	954				
936	942	953	955			
938	942	954	955			
915	916	956	957			
915	917	956	958			
292	917	958				
916	924	957	959	960		
924	928	959	961			
928	930	961	962			
930	932	962	963			
932	933	963	964			
933	935	964	965			
939	940	966				
935	941	965	967			
940	941	966	967			
959	960	968				
818	819	968	969			
959	961	968	969			
819	821	969	970			
961	962	969	970			
962	963	970	971			
821	823	970	971			
823	825	971	972			
963	964	971	972			
807	825	972				
806	807	952	953	973		
807	964	965	972	973		
939	954	974				
939	966	974				
953	955	973	975			
965	967	973	975			
954	955	974	975			
966	967	974	975			
292	909	976				
292	958	976				
909	910	976	977			
776	808	912	978			
808	809	978				
809	810	978				
811	812	978				
812	813	978				
813	815	978				
810	811	978				
815	816	978	979			
910	913	977	980			
912	913	978	979	980		
956	958	976	977	981		
977	980	981				
816	818	960	968	979	982	
956	957	981	982			
979	980	981	982			
957	960	982				
781	827	911	983			
292	911	983				
827	828	983	984			
292	983	984				
828	829	984	985			
143	292	985				
143	829	985				
292	984	985				

Nodes.txt

0.003183808	0.239659516	0.081578117
0.01157752	0.244245022	0.065965812
0.011520612	0.244270859	0.065935449
0.01010176	0.2447055	0.065679784
0.008130728	0.245283816	0.065385582
-0.002736202	0.245579525	0.070685299
0.006667771	0.245532434	0.065599418
0.005473502	0.245579525	0.066146935
-0.019732562	0.245579525	-0.058118839
-0.022329582	0.242982505	-0.062897357
-0.021871143	0.245579525	-0.055936076
-0.02323835	0.245525615	-0.054694842
-0.02323835	0.245525615	0.053548098
-0.02330064	0.245518177	-0.054652543
-0.02330064	0.245518177	0.05349201
-0.025031298	0.245160623	-0.053908969
-0.025031298	0.245160623	0.05206032
-0.025211929	0.245108061	-0.05387497
-0.025211929	0.245108061	0.051923688
-0.026549683	0.244592185	0.051018047
-0.026743515	0.244517437	-0.054001315
-0.026743515	0.244517437	0.050742541
-0.030134903	0.242627534	0.046554086
-0.030134903	0.242627534	-0.04837946
-0.027026081	0.244381813	-0.054100884
-0.027051469	0.244367944	-0.054114648
-0.028828742	0.243397015	-0.050808919
-0.027026081	0.244381813	0.050369855
-0.028828742	0.243397015	0.048122065
-0.030493999	0.242375581	0.046166872
-0.030493999	0.242375581	-0.047711542
-0.021871141	0.245579525	0.05487096
-0.018558986	0.245579525	0.0581853
0.019006593	0.239659516	0.069078117
0.029955707	0.242875329	-0.049138155
0.029955707	0.242875329	0.048712765
0.028694593	0.243657407	-0.049877774
0.027400305	0.244245022	0.053465812
0.028694593	0.243657407	0.051058437
0.027343396	0.244270859	0.053435449
0.027343396	0.244270859	-0.051123995
0.02689859	0.244407118	-0.051667015
0.025924544	0.2447055	0.053179784
0.025924544	0.2447055	-0.051795947
0.023953513	0.245283817	0.052885582
0.023953513	0.245283817	-0.05209015
0.022490556	0.245532434	0.053099418
0.021296289	0.245579525	0.053646934
0.022490556	0.245532434	-0.052544629
0.021296291	0.245579525	-0.053119382
-0.006506797	0.242982505	-0.075397357
0.001543928	0.228245751	-0.090371706
0.011075806	0.244407117	-0.064167015
0.01010176	0.2447055	-0.064295947
0.008130728	0.245283816	-0.06459015
-0.003909777	0.245579525	-0.070618839
0.006667771	0.245532434	-0.065044628
0.005473503	0.245579525	-0.065619383
-0.001543928	-0.228245751	0.090371706
0.006506797	-0.242982505	0.075397357
-0.011075805	-0.244407118	0.064167015
-0.010101759	-0.2447055	0.064295947
-0.008130728	-0.245283817	0.06459015
-0.006667771	-0.245532434	0.065044628
0.003909777	-0.245579525	0.070618839
-0.005473505	-0.245579525	0.065619382
-0.019006593	-0.239659516	-0.069078117
-0.029955707	-0.242875329	0.049138155
-0.029955707	-0.242875329	-0.048712765
-0.028694593	-0.243657408	0.049877774
-0.028694593	-0.243657408	-0.051058437
-0.027400305	-0.244245022	-0.053465812
-0.02689859	-0.244407118	0.051667015
-0.027343396	-0.244270859	0.051123995
-0.027343396	-0.244270859	-0.053435449
-0.025924544	-0.2447055	0.051795947
-0.025924544	-0.2447055	-0.053179784
-0.023953513	-0.245283817	0.05209015
-0.023953513	-0.245283817	-0.052885582
-0.022490556	-0.245532434	0.052544628
-0.021296289	-0.245579526	0.053119382
-0.022490556	-0.245532434	-0.053099418
-0.021296289	-0.245579526	-0.053646934
0.019732561	-0.245579525	0.058118839
0.022329582	-0.242982505	0.062897357
0.018558987	-0.245579525	-0.058185299
0.021871141	-0.245579525	0.055936078
0.021871141	-0.245579525	-0.05487096
0.02323835	-0.245525615	0.054694841
0.02323835	-0.245525615	-0.053548098
0.02330064	-0.245518177	0.054652543
0.02330064	-0.245518177	-0.05349201
0.025031298	-0.245160623	0.053908969
0.025031298	-0.245160623	-0.05206032
0.025211929	-0.245108061	0.05387497
0.025211929	-0.245108061	-0.051923688
0.026549683	-0.244592185	-0.051018047
0.027051469	-0.244367944	0.054114647
0.026743516	-0.244517437	0.054001314
0.027026081	-0.244381813	0.054100884
0.026743516	-0.244517437	-0.050742541
0.027026081	-0.244381813	-0.050369855
0.028828742	-0.243397015	-0.048122065
0.028828742	-0.243397015	0.050808919
0.030134903	-0.242627534	-0.046554086
0.030134903	-0.242627534	0.04837946
0.030493999	-0.242375581	-0.046166872
0.030493999	-0.242375581	0.047711542
-0.01157752	-0.244245022	-0.065965812
-0.011520611	-0.244270859	-0.065935449
-0.010101759	-0.2447055	-0.065679784
-0.008130728	-0.245283817	-0.065385582
-0.005473505	-0.245579525	-0.066146934
-0.006667771	-0.245532434	-0.065599418
0.002736202	-0.245579525	-0.070685299
-0.003183808	-0.239659516	-0.081578117
0.002105707	-0.22408343	0.092871706
0.017928492	-0.22408343	0.080371706
-0.017928492	0.22408343	-0.080371706
-0.002105707	0.22408343	-0.092871706
0.001913135	-0.224905092	0.092739795
0.009963861	-0.239641846	0.077765445
0.01773592	-0.224905092	0.080239795
0.025786645	-0.239641846	0.065265445
-0.01773592	0.224905092	-0.080239795
-0.025786645	0.239641846	-0.065265445
-0.009963861	0.239641846	-0.077765445
-0.001913135	0.224905092	-0.092739795
0.001000545	-0.226311664	0.092114671
0.001538153	-0.225661134	0.092482932
0.009051271	-0.241048418	0.077140321
0.009588878	-0.240397888	0.077508582
0.024874056	-0.241048418	0.064640321
0.029595943	-0.242433857	0.055857612
0.031373216	-0.241462928	0.052551883
0.032679377	-0.240693447	0.050122424
0.033038472	-0.240441494	0.049454507
0.025411663	-0.240397888	0.065008582
0.03013355	-0.241783327	0.056225873
-0.024874056	0.241048418	-0.064640322
-0.032679377	0.240693447	-0.050122424
-0.033038472	0.240441494	-0.049454507
-0.031373216	0.241462928	-0.052551883
-0.029595942	0.242433857	-0.055857612
-0.009051271	0.241048418	-0.077140322
-0.009588878	0.240397888	-0.077508583
-0.001000545	0.226311664	-0.092114671
-0.001538153	0.225661134	-0.092482932
-0.025411663	0.240397888	-0.065008583
-0.03013355	0.241783327	-0.056225873
0.005728282	0.237725429	0.083321082
0.021551066	0.237725429	0.070821081
0.03250018	0.240941242	0.05045573
0.031239067	0.241723321	0.052801401
0.029944779	0.242310935	0.055208776
-0.021551066	-0.237725429	-0.070821082
-0.03250018	-0.240941242	-0.05045573
-0.031239067	-0.241723321	-0.052801401
-0.029944779	-0.242310935	-0.055208776
-0.005728282	-0.237725429	-0.083321082
0.006265889	0.237074898	0.083689343
0.022088674	0.237074898	0.071189343
0.030482386	0.241660404	0.055577037
-0.022088674	-0.237074898	-0.071189343
-0.030482386	-0.241660404	-0.055577037
-0.006265889	-0.237074898	-0.083689343
0.002105707	0.219384014	0.092871706
0.006833443	0.235497195	0.084078117
0.017928492	0.219384014	0.080371706
0.022656228	0.235497195	0.071578117
0.006640871	0.236318856	0.083946205
0.001913135	0.220205675	0.092739795
0.022463656	0.236318856	0.071446205
0.030857369	0.240904362	0.0558339
-0.017928492	-0.219384014	-0.080371706
-0.022656228	-0.235497195	-0.071578117
-0.006833443	-0.235497195	-0.084078117
-0.002105707	-0.219384014	-0.092871706
-0.022463656	-0.236318856	-0.071446205
-0.030857369	-0.240904362	-0.0558339
-0.006640871	-0.236318856	-0.083946205
-0.001913135	-0.220205675	-0.092739795
-0.005193563	-0.22408343	0.092871706
-0.021016348	-0.22408343	0.080371706
-0.001543928	-0.21992111	0.095371706
-0.0017365	-0.220742771	0.095239795
-0.00264909	-0.222149343	0.094614671
-0.002111482	-0.221498813	0.094982932
-0.007738037	-0.222149343	0.091128742
-0.023560822	-0.222149343	0.078628742
-0.008275644	-0.221498813	0.090760481
-0.024098429	-0.221498813	0.078260481
-0.035972478	-0.233372862	0.05641223
-0.039655325	-0.233372862	0.049635792
-0.008650627	-0.220742771	0.090503618
-0.008843198	-0.21992111	0.090371706
-0.021578127	-0.215221693	-0.077871706
-0.005755342	-0.215221693	-0.090371706
-0.026305863	-0.231334874	-0.069078117
-0.024473411	-0.220742771	0.078003618
-0.024665983	-0.21992111	0.077871706
-0.036347461	-0.23261682	0.056155367
-0.036540032	-0.231795159	0.056023455
-0.051479513	-0.215223537	-0.022255128
-0.051479513	-0.215223537	0.028534811
-0.050991576	-0.217438761	0.029432616
-0.050991576	-0.217438761	-0.023162691
-0.050881155	-0.21789547	0.029635791
-0.050881155	-0.21789547	-0.023368074
-0.05076174	-0.218348656	0.029855513
-0.05076174	-0.218348656	-0.023590185
-0.050662275	-0.218678367	0.03003853
-0.050662275	-0.218678367	-0.023775191
-0.050624099	-0.218798361	0.030108773
-0.050624099	-0.218798361	-0.023846198
-0.050553629	-0.219005147	0.030238438
-0.050553629	-0.219005147	-0.023977273
-0.050469116	-0.219241486	0.030393941
-0.050469116	-0.219241486	-0.024134466
-0.050308519	-0.219648731	0.03068944
-0.050308519	-0.219648731	-0.024433177
-0.050170506	-0.219964247	0.030943383
-0.050170506	-0.219964247	-0.02468988
-0.050105268	-0.220106796	0.031063422
-0.050105268	-0.220106796	-0.024811223
-0.050023726	-0.220275765	-0.024962892
-0.050023726	-0.220275765	0.03121346
-0.049897441	-0.220527734	-0.025197782
-0.049897441	-0.220527734	0.031445823
-0.048445214	-0.223187972	-0.027898925
-0.048445214	-0.223187972	0.034117922
-0.047572254	-0.224387971	-0.029522629
-0.047572254	-0.224387971	0.035724167
-0.046552261	-0.225465778	-0.031419817
-0.040222879	-0.231795159	0.049247017
-0.046552261	-0.225465778	0.037600956
-0.038405075	-0.233612963	-0.046573582
-0.037254977	-0.234550688	-0.048712765
-0.034699575	-0.23592038	-0.053465812
-0.035993863	-0.235332766	-0.051058437
-0.050799004	-0.218260423	0.029564527
-0.050688583	-0.218717131	0.029767702
-0.050569168	-0.219170318	0.029987425
-0.050469703	-0.219500028	0.030170442
-0.050431527	-0.219620022	0.030240685
-0.050361057	-0.219826809	0.03037035
-0.050276544	-0.220063147	0.030525853
-0.050115947	-0.220470392	0.030821352
-0.049977935	-0.220785908	0.031075295
-0.049912697	-0.220928457	0.031195333
-0.049831154	-0.221097427	0.031345371
-0.049704869	-0.221349395	0.031577735
-0.048252642	-0.224009634	0.034249834
-0.047379683	-0.225209633	0.035856078
-0.040030307	-0.23261682	0.049378929
-0.046359689	-0.226287439	0.037732867
0.021016348	0.22408343	-0.080371706
0.005193563	0.22408343	-0.092871706
0.001543928	0.21992111	-0.095371706
0.0017365	0.220742771	-0.095239795
0.00264909	0.222149343	-0.094614671
0.002111482	0.221498813	-0.094982932
0.007738037	0.222149343	-0.091128742
0.023560822	0.222149343	-0.078628742
0.035972478	0.233372862	-0.05641223
0.024098429	0.221498813	-0.078260481
0.008275644	0.221498813	-0.090760481
0.039655325	0.233372862	-0.049635792
0.005755342	0.215221693	0.090371706
0.021578127	0.215221693	0.077871706
0.026305863	0.231334874	0.069078117
0.036347461	0.23261682	-0.056155367
0.036540032	0.231795159	-0.056023455
0.024473411	0.220742771	-0.078003618
0.024665983	0.21992111	-0.077871706
0.008650627	0.220742771	-0.090503618
0.008843198	0.21992111	-0.090371706
0.051479513	0.215223537	0.022255128
0.051479513	0.215223537	-0.028534811
0.050991576	0.217438761	-0.029432616
0.050991576	0.217438761	0.023162691
0.050881155	0.21789547	-0.029635791
0.050881155	0.21789547	0.023368074
0.050761526	0.218349469	-0.029855908
0.050761526	0.218349469	0.023590584
0.050662343	0.218678152	-0.030038404
0.050662343	0.218678152	0.023775064
0.050624099	0.218798361	0.023846198
0.050624099	0.218798361	-0.030108774
0.050553629	0.219005147	0.023977272
0.050553629	0.219005147	-0.030238438
0.050469116	0.219241486	0.024134466
0.050469116	0.219241486	-0.030393941
0.050296797	0.219678181	0.02445498
0.050296797	0.219678181	-0.030711009
0.05017523	0.219953925	0.024681094
0.05017523	0.219953925	-0.030934692
0.050105268	0.220106796	0.024811223
0.050105268	0.220106796	-0.031063422
0.050023726	0.220275765	0.024962892
0.050023726	0.220275765	-0.03121346
0.049897441	0.220527734	0.025197782
0.049897441	0.220527734	-0.031445824
0.048445214	0.223187972	0.027898924
0.048445214	0.223187972	-0.034117922
0.047572255	0.224387971	0.029522629
0.047572255	0.224387971	-0.035724167
0.046552261	0.225465778	0.031419817
0.040222879	0.231795159	-0.049247018
0.046552261	0.225465778	-0.037600956
0.038405075	0.233612963	0.046573582
0.037254977	0.234550688	0.048712765
0.034699575	0.23592038	0.053465812
0.035993863	0.235332766	0.051058437
0.050799004	0.218260423	-0.029564528
0.050688583	0.218717131	-0.029767702
0.050568954	0.219171131	-0.029987819
0.050469771	0.219499813	-0.030170316
0.050431527	0.219620022	-0.030240685
0.050361057	0.219826809	-0.03037035
0.050276544	0.220063147	-0.030525853
0.050104225	0.220499842	-0.030842921
0.049982659	0.220775586	-0.031066603
0.049912697	0.220928457	-0.031195333
0.049831154	0.221097427	-0.031345372
0.049704869	0.221349395	-0.031577735
0.048252642	0.224009634	-0.034249834
0.047379683	0.225209632	-0.035856078
0.040030307	0.23261682	-0.049378929
0.046359689	0.226287439	-0.037732867
-0.005000991	-0.224905092	0.092739795
-0.020823776	-0.224905092	0.080239795
-0.032697826	-0.236779141	0.058391544
-0.001351356	-0.220742771	0.095239795
-0.001543928	-0.221564432	0.095107883
-0.002456518	-0.222971005	0.094482759
-0.001918911	-0.222320474	0.09485102
-0.02336825	-0.222971005	0.07849683
-0.023905857	-0.222320474	0.078128569
-0.035779907	-0.234194524	0.056280318
-0.035242299	-0.234845054	0.056648579
-0.038925146	-0.234845054	0.049872141
-0.0492636	-0.22267513	0.031470323
-0.049512298	-0.222171057	0.031445823
-0.049149655	-0.222902218	0.031694233
-0.04806007	-0.224831295	0.034117922
-0.047688517	-0.225580423	0.034372436
-0.047187111	-0.226031294	0.035724167
-0.046813526	-0.226784519	0.035980073
-0.046167117	-0.2271091	0.037600956
-0.039837736	-0.233438482	0.049247017
-0.039462753	-0.234194524	0.04950388
-0.045793191	-0.227863013	0.037857095
-0.021385555	-0.216043355	-0.078003618
-0.00556277	-0.216043355	-0.090503618
-0.026113291	-0.232156536	-0.069210029
-0.050799004	-0.218260423	-0.023294603
-0.050688583	-0.218717131	-0.023499986
-0.050569168	-0.219170318	-0.023722097
-0.050469703	-0.219500028	-0.023907103
-0.050431527	-0.219620022	-0.02397811
-0.050361057	-0.219826809	-0.024109184
-0.050276544	-0.220063147	-0.024266378
-0.050115947	-0.220470392	-0.024565088
-0.049977935	-0.220785908	-0.024821792
-0.049912697	-0.220928457	-0.024943135
-0.049831154	-0.221097427	-0.025094804
-0.049704869	-0.221349395	-0.025329693
-0.048252642	-0.224009634	-0.028030836
-0.047379683	-0.225209633	-0.02965454
-0.046359689	-0.226287439	-0.031551729
-0.038212504	-0.234434624	-0.046705494
-0.037069533	-0.235366538	-0.04883142
-0.03579967	-0.236155433	-0.051193364
-0.034507004	-0.236742042	-0.053597724
-0.050606432	-0.219082084	0.029432616
-0.050606432	-0.219082084	-0.023162691
-0.050496011	-0.219538793	0.029635791
-0.050496011	-0.219538793	-0.023368074
-0.050376597	-0.219991979	0.029855513
-0.050376597	-0.219991979	-0.023590185
-0.050277131	-0.22032169	0.03003853
-0.050277131	-0.22032169	-0.023775191
-0.050238955	-0.220441683	0.030108773
-0.050238955	-0.220441683	-0.023846198
-0.050168485	-0.22064847	0.030238438
-0.050168485	-0.22064847	-0.023977273
-0.050083973	-0.220884808	0.030393941
-0.050084923	-0.220882151	-0.024133063
-0.050050738	-0.220972086	0.030450717
-0.05004961	-0.220974919	-0.024194009
-0.049923376	-0.221292053	0.03068944
-0.049923376	-0.221292053	-0.024433177
-0.049785363	-0.221607569	0.030943383
-0.049785363	-0.221607569	-0.02468988
-0.049638582	-0.221919088	0.03121346
-0.049720125	-0.221750119	-0.024811223
-0.049720125	-0.221750119	0.031063422
-0.049638582	-0.221919088	-0.024962892
-0.049512298	-0.222171057	-0.025197782
-0.04806007	-0.224831295	-0.027898925
-0.047187111	-0.226031294	-0.029522629
-0.046167117	-0.2271091	-0.031419817
-0.038019932	-0.235256286	-0.046573582
-0.036874572	-0.236190147	-0.048703952
-0.035607675	-0.236976737	-0.051060381
-0.034314432	-0.237563703	-0.053465812
0.032697826	0.236779141	-0.058391544
0.020823776	0.224905092	-0.080239795
0.005000992	0.224905092	-0.092739795
0.001351357	0.220742771	-0.095239795
0.001543928	0.221564432	-0.095107883
0.002456518	0.222971005	-0.094482759
0.001918911	0.222320474	-0.09485102
0.02336825	0.222971005	-0.07849683
0.035779907	0.234194524	-0.056280318
0.023905857	0.222320474	-0.078128569
0.035242299	0.234845054	-0.056648579
0.038925146	0.234845054	-0.049872141
0.0492636	0.22267513	-0.031470323
0.049512298	0.222171057	-0.031445824
0.049149656	0.222902218	-0.031694233
0.04806007	0.224831295	-0.034117922
0.047688517	0.225580423	-0.034372436
0.047187111	0.226031294	-0.035724167
0.046813526	0.226784519	-0.035980073
0.046167117	0.2271091	-0.037600956
0.039837736	0.233438482	-0.049247018
0.039462753	0.234194524	-0.04950388
0.045793191	0.227863013	-0.037857095
0.00556277	0.216043354	0.090503618
0.021385555	0.216043355	0.078003618
0.026113291	0.232156536	0.069210029
0.050799004	0.218260423	0.023294603
0.050688583	0.218717131	0.023499986
0.050568954	0.219171131	0.023722495
0.050469771	0.219499813	0.023906976
0.050431527	0.219620022	0.02397811
0.050361057	0.219826809	0.024109184
0.050276544	0.220063147	0.024266378
0.050104225	0.220499842	0.024586892
0.049982659	0.220775586	0.024813005
0.049912697	0.220928457	0.024943135
0.049831154	0.221097427	0.025094804
0.049704869	0.221349395	0.025329693
0.048252642	0.224009634	0.028030836
0.047379683	0.225209632	0.02965454
0.046359689	0.226287439	0.031551729
0.038212504	0.234434624	0.046705494
0.037069533	0.235366538	0.048831419
0.03579967	0.236155433	0.051193364
0.034507004	0.236742042	0.053597724
0.050606432	0.219082084	-0.029432616
0.050606432	0.219082084	0.023162691
0.050496011	0.219538793	-0.029635791
0.050496011	0.219538793	0.023368074
0.050376383	0.219992792	-0.029855908
0.050376383	0.219992792	0.023590584
0.0502772	0.220321474	-0.030038404
0.0502772	0.220321474	0.023775064
0.050238955	0.220441683	-0.030108774
0.050238955	0.220441683	0.023846198
0.050168485	0.22064847	-0.030238438
0.050168485	0.22064847	0.023977272
0.050083973	0.220884808	-0.030393941
0.050084918	0.220882165	0.024133072
0.050050738	0.220972086	-0.030450644
0.050049596	0.220974955	0.024193959
0.049911653	0.221321503	-0.030711009
0.049911653	0.221321503	0.02445498
0.049790087	0.221597248	-0.030934692
0.049790087	0.221597248	0.024681094
0.049638582	0.221919088	-0.03121346
0.049720125	0.221750119	-0.031063422
0.049720125	0.221750119	0.024811223
0.049638582	0.221919088	0.024962892
0.049512298	0.222171057	0.025197782
0.04806007	0.224831295	0.027898924
0.047187111	0.226031294	0.029522629
0.046167117	0.2271091	0.031419817
0.038019932	0.235256286	0.046573582
0.036874572	0.236190147	0.048703952
0.035607675	0.236976737	0.051060381
0.034314432	0.237563703	0.053465812
0.003962324	-0.241048418	0.077140321
0.001365303	-0.243645438	0.072361804
-0.008017979	-0.243645439	0.067362346
-0.012646233	-0.242771413	0.066038912
-0.010675202	-0.24334973	0.066333114
-0.009212245	-0.243598347	0.066787593
-0.013620279	-0.242473031	0.06590998
-0.015962451	-0.238185713	0.07026642
-0.004088402	-0.226311664	0.092114671
-0.031785236	-0.238185713	0.05776642
-0.035468083	-0.238185713	0.050989982
-0.033650279	-0.240003517	0.050660379
-0.03250018	-0.240941242	0.050881119
-0.031239067	-0.241723321	0.051620738
-0.029443064	-0.242473031	0.05340998
-0.02988787	-0.242336772	0.052866959
-0.004626009	-0.225661134	0.092482932
-0.020448794	-0.225661134	0.079982932
-0.016500058	-0.237535183	0.070634681
-0.034187886	-0.239352987	0.05102864
-0.033037788	-0.240290712	0.05124938
-0.031776674	-0.24107279	0.051988999
-0.030416488	-0.241690323	0.053243511
-0.029980671	-0.2418225	0.053778241
-0.032322843	-0.237535183	0.058134681
-0.03600569	-0.237535183	0.051358243
-0.034867317	-0.235601096	0.056391716
-0.000438767	-0.222149343	0.094614671
-0.000976374	-0.221498813	0.094982932
-0.000631338	-0.222971005	0.094482759
-0.001168946	-0.222320474	0.09485102
-0.001543928	-0.224377577	0.093857635
-0.002081535	-0.223727047	0.094225896
-0.001006321	-0.223727047	0.094225896
-0.001543928	-0.223076516	0.094594157
-0.045361932	-0.228844439	-0.029522629
-0.045361932	-0.228844439	0.035724167
-0.044341938	-0.229922245	-0.031419817
-0.038012556	-0.236251626	0.049247017
-0.044341938	-0.229922245	0.037600956
-0.036194752	-0.23806943	0.048917415
-0.035044654	-0.239007155	0.049138155
-0.036194752	-0.23806943	-0.046573582
-0.035044654	-0.239007155	-0.048712765
-0.03378354	-0.239789234	-0.051058437
-0.032489252	-0.240376848	-0.053465812
-0.045899539	-0.228193908	0.036092428
-0.038550164	-0.235601096	0.049615278
-0.045416893	-0.228621706	0.037599561
-0.044879545	-0.229271715	0.037969217
-0.039087771	-0.234950566	0.049247017
-0.045899539	-0.228193908	-0.02989089
-0.044879545	-0.229271715	-0.031788078
-0.03673236	-0.2374189	-0.046941843
-0.035582261	-0.238356625	-0.049081026
-0.03302686	-0.239726317	-0.053834073
-0.034321147	-0.239138703	-0.051426698
-0.048888617	-0.223431172	0.03121346
-0.0492636	-0.22267513	-0.025219755
-0.048888617	-0.223431172	-0.024962892
-0.048762333	-0.223683141	0.031430445
-0.049137315	-0.222927099	-0.025454645
-0.048762333	-0.223683141	-0.025197782
-0.046437146	-0.227543378	0.035722529
-0.047310105	-0.226343379	0.034113809
-0.047685088	-0.225587337	-0.028155788
-0.047310105	-0.226343379	-0.027898925
-0.046437146	-0.227543378	-0.029522629
-0.046812129	-0.226787336	-0.029779492
-0.045792135	-0.227865142	-0.03167668
-0.045417152	-0.228621184	-0.031419817
-0.037644949	-0.236012328	-0.046830445
-0.037269967	-0.23676837	-0.046573582
-0.036497841	-0.236947614	-0.048964066
-0.036119868	-0.237706095	-0.048712765
-0.034858755	-0.238488173	-0.051058437
-0.020472965	-0.217449927	-0.078628742
-0.021010573	-0.216799397	-0.078260481
-0.00465018	-0.217449927	-0.091128742
-0.005187788	-0.216799397	-0.090760481
-0.025200701	-0.233563108	-0.069835153
-0.025738309	-0.232912578	-0.069466892
-0.034132021	-0.237498084	-0.053854586
-0.02500813	-0.234384769	-0.069703241
-0.025545737	-0.233734239	-0.06933498
-0.035233215	-0.23773235	-0.05131636
-0.033401842	-0.238970276	-0.054090936
-0.033939449	-0.238319745	-0.053722675
-0.03469613	-0.238382661	-0.051683561
0.031785236	0.238185713	-0.05776642
0.035468083	0.238185713	-0.050989982
0.033650279	0.240003517	-0.050660379
0.03250018	0.240941242	-0.050881119
0.031239067	0.241723321	-0.051620738
0.029443064	0.242473031	-0.05340998
0.02988787	0.242336772	-0.052866959
0.013620279	0.24247303	-0.06590998
0.008017977	0.243645438	-0.067362347
0.012646233	0.242771413	-0.066038912
0.010675202	0.24334973	-0.066333114
0.009212245	0.243598347	-0.066787593
-0.003962324	0.241048418	-0.077140322
-0.001365303	0.243645438	-0.072361804
0.015962451	0.238185713	-0.07026642
0.004088402	0.226311664	-0.092114671
0.034187886	0.239352987	-0.05102864
0.033037788	0.240290712	-0.05124938
0.031776674	0.24107279	-0.051988999
0.030416488	0.241690323	-0.053243511
0.029980671	0.2418225	-0.053778241
0.004626009	0.225661134	-0.092482932
0.020448794	0.225661134	-0.079982932
0.016500059	0.237535183	-0.070634681
0.03600569	0.237535183	-0.051358243
0.032322843	0.237535183	-0.058134681
0.034867317	0.235601096	-0.056391717
0.000438767	0.222149343	-0.094614671
0.000976374	0.221498813	-0.094982932
0.000631338	0.222971005	-0.094482759
0.001168946	0.222320474	-0.09485102
0.001543928	0.224377577	-0.093857635
0.002081536	0.223727047	-0.094225896
0.001006321	0.223727047	-0.094225896
0.001543928	0.223076516	-0.094594157
0.045361932	0.228844438	0.029522629
0.045361932	0.228844438	-0.035724167
0.044341938	0.229922245	0.031419817
0.038012556	0.236251626	-0.049247018
0.044341938	0.229922245	-0.037600956
0.036194752	0.23806943	-0.048917415
0.035044654	0.239007155	-0.049138155
0.036194752	0.23806943	0.046573582
0.035044654	0.239007155	0.048712765
0.03378354	0.239789234	0.051058437
0.032489252	0.240376848	0.053465812
0.045899539	0.228193908	-0.036092428
0.038550164	0.235601096	-0.049615279
0.045416893	0.228621706	-0.037599561
0.044879545	0.229271715	-0.037969217
0.039087771	0.234950566	-0.049247018
0.045899539	0.228193908	0.02989089
0.044879545	0.229271715	0.031788078
0.03673236	0.2374189	0.046941843
0.035582261	0.238356625	0.049081026
0.03302686	0.239726318	0.053834073
0.034321148	0.239138703	0.051426698
0.048888617	0.223431172	-0.03121346
0.0492636	0.22267513	0.025219755
0.048888617	0.223431172	0.024962892
0.048762333	0.223683141	-0.031430445
0.049137315	0.222927099	0.025454644
0.048762333	0.223683141	0.025197782
0.046437146	0.227543378	-0.035722529
0.047310106	0.226343379	-0.034113809
0.047685088	0.225587337	0.028155787
0.047310106	0.226343379	0.027898924
0.046437146	0.227543378	0.029522629
0.046812129	0.226787336	0.029779492
0.045792135	0.227865142	0.03167668
0.045417152	0.228621184	0.031419817
0.03764495	0.236012328	0.046830445
0.037269967	0.23676837	0.046573582
0.036497841	0.236947614	0.048964066
0.036119869	0.237706094	0.048712765
0.034858755	0.238488173	0.051058437
0.00465018	0.217449927	0.091128742
0.005187788	0.216799396	0.090760481
0.020472965	0.217449927	0.078628742
0.021010573	0.216799397	0.078260481
0.025200701	0.233563108	0.069835153
0.025738309	0.232912578	0.069466892
0.034132021	0.237498084	0.053854587
0.02500813	0.234384769	0.069703241
0.025545737	0.233734239	0.06933498
0.035233215	0.23773235	0.05131636
0.033401842	0.238970276	0.054090936
0.03393945	0.238319745	0.053722675
0.03469613	0.238382661	0.051683561
0.000639334	0.237725429	0.083321081
-0.005280675	0.243645439	0.072428263
-0.025782824	0.243591528	0.055291063
-0.025845114	0.24358409	0.055234975
-0.027575772	0.243226536	0.053803284
-0.027756402	0.243173974	0.053666652
-0.029094156	0.242658098	0.052761012
-0.029287989	0.24258335	0.052485506
-0.033038472	0.240441494	0.047909837
-0.032679377	0.240693447	0.04829705
-0.029570555	0.242447726	0.052112819
-0.031373216	0.241462928	0.049865029
-0.021103459	0.243645439	0.059928264
-0.024415614	0.243645438	0.056613925
-0.020280394	0.222971005	-0.07849683
-0.028523691	0.236886097	-0.063654393
-0.020472965	0.222149343	-0.078628742
-0.00465018	0.222149343	-0.091128742
-0.027956137	0.238463801	-0.063265618
-0.028331119	0.237707759	-0.063522481
-0.033053006	0.239093198	-0.054739772
-0.03522385	0.23875936	0.046554086
-0.03522385	0.23875936	-0.04837946
-0.03391769	0.239528841	-0.050808919
-0.032140416	0.24049977	-0.054114648
-0.035582946	0.238507407	-0.047711542
-0.035582946	0.238507407	0.046166872
-0.036649427	0.237615118	-0.045727886
-0.036649427	0.237615118	0.045173223
-0.046023463	0.228113279	-0.028292181
-0.046023463	0.228113279	0.03450695
-0.03705181	0.237220116	0.044861657
-0.045198996	0.22907293	0.036023969
-0.042719716	0.23155221	0.040585843
-0.03705181	0.237220116	-0.044979454
-0.045198996	0.22907293	-0.02982569
-0.035761458	0.238108829	-0.048747721
-0.032678023	0.23984924	-0.054482909
-0.034455297	0.238878311	-0.05117718
-0.036120553	0.237856877	-0.048079803
-0.037187035	0.236964588	-0.046096147
-0.04656107	0.227462749	-0.028660442
-0.037589418	0.236569585	-0.045347715
-0.045736603	0.2284224	-0.030193951
0.003183808	0.235791342	0.085064046
0.004096398	0.23438477	0.08568917
0.003721415	0.235140811	0.085432307
-0.001006321	0.21902763	0.094225896
-0.000631338	0.218271588	0.094482759
-0.000438767	0.217449927	0.094614671
0.02110346	-0.243645438	-0.059928263
0.024415614	-0.243645438	-0.056613925
0.025782824	-0.243591528	-0.055291063
0.025845114	-0.24358409	-0.055234975
0.027575772	-0.243226536	-0.053803284
0.027756402	-0.243173974	-0.053666652
0.029094156	-0.242658098	-0.052761012
0.0292881	-0.242583308	-0.052485349
0.029570424	-0.242447801	-0.052112962
0.031373216	-0.241462928	-0.049865029
0.033038472	-0.240441494	-0.047909837
0.032679377	-0.240693447	-0.04829705
0.005280675	-0.243645439	-0.072428264
-0.000639334	-0.237725429	-0.083321082
0.00465018	-0.222149343	0.091128742
0.020280394	-0.222971005	0.07849683
0.020472965	-0.222149343	0.078628742
0.028523691	-0.236886097	0.063654393
0.027956137	-0.238463801	0.063265618
0.028331119	-0.237707759	0.063522481
0.033053006	-0.239093198	0.054739771
0.032140416	-0.24049977	0.054114647
0.03391769	-0.239528841	0.050808919
0.03522385	-0.23875936	-0.046554086
0.03522385	-0.23875936	0.04837946
0.035582946	-0.238507407	0.047711542
0.035582946	-0.238507407	-0.046166872
0.042719716	-0.23155221	-0.040585843
0.036649427	-0.237615118	0.045727886
0.03705181	-0.237220116	0.044979454
0.036649427	-0.237615118	-0.045173223
0.03705181	-0.237220116	-0.044861657
0.045198996	-0.22907293	0.02982569
0.045198996	-0.22907293	-0.036023969
0.046023463	-0.228113279	0.028292181
0.046023463	-0.228113279	-0.03450695
0.032678024	-0.23984924	0.054482908
0.034455297	-0.238878311	0.05117718
0.035761458	-0.238108829	0.048747721
0.036120553	-0.237856877	0.048079803
0.037187035	-0.236964588	0.046096147
0.037589418	-0.236569585	0.045347715
0.045736603	-0.2284224	0.030193951
0.04656107	-0.227462749	0.028660442
-0.003183808	-0.235791342	-0.085064046
-0.004096398	-0.234384769	-0.08568917
-0.003721415	-0.235140811	-0.085432307
0.001006321	-0.21902763	-0.094225896
0.000631338	-0.218271588	-0.094482759
0.000438767	-0.217449927	-0.094614671
-0.004626009	0.220961717	0.092482932
0.000101727	0.237074898	0.083689342
-0.005818283	0.242994908	0.072796524
-0.021641067	0.242994908	0.060296525
-0.026320431	0.242940998	0.055659324
-0.026382721	0.242933559	0.055603236
-0.028113379	0.242576006	0.054171545
-0.02829401	0.242523444	0.054034913
-0.024953222	0.242994908	0.056982186
-0.015721058	0.237074898	0.071189343
-0.020448794	0.220961717	0.079982932
-0.032322843	0.232835767	0.058134681
-0.029631764	0.242007567	0.053129273
-0.029825596	0.24193282	0.052853767
-0.033216984	0.240042916	0.048665311
-0.030108162	0.241797196	0.05248108
-0.031910823	0.240812398	0.05023329
-0.028868726	0.237057228	-0.06315422
-0.029061298	0.236235567	-0.063286132
-0.021010573	0.221498813	-0.078260481
-0.005187788	0.221498813	-0.090760481
-0.033783185	0.237621006	-0.054503422
-0.036299065	0.237458299	-0.04837946
-0.036674047	0.236702257	-0.048636323
-0.034992904	0.238227781	-0.050808919
-0.033215631	0.23919871	-0.054114648
-0.033590613	0.238442668	-0.054371511
-0.035367887	0.237471739	-0.051065782
-0.03665816	0.237206346	-0.047711542
-0.037033143	0.236450304	-0.047968405
-0.037724642	0.236314058	-0.045727886
-0.038099624	0.235558016	-0.045984749
-0.04747366	0.226056177	-0.028549044
-0.038127025	0.235919055	-0.044979454
-0.04627421	0.22777187	-0.02982569
-0.038502007	0.235163013	-0.045236317
-0.046649193	0.227015828	-0.030082553
-0.047879779	0.22549956	-0.027793662
-0.048471165	0.22452506	-0.026693685
-0.048836995	0.223797697	-0.026013241
-0.032176237	0.24007348	0.051386308
-0.03237007	0.239998733	0.051110802
-0.035761458	0.238108829	0.046922347
-0.032652636	0.239863109	0.050738116
-0.034455297	0.238878311	0.048490326
-0.036120553	0.237856877	0.046535133
-0.037187035	0.236964588	0.045541484
-0.037587423	0.236571999	0.045228552
-0.04656107	0.227462749	0.034875211
-0.045736603	0.2284224	0.03639223
-0.043257323	0.23090168	0.040954104
-0.047098677	0.226812219	-0.028292181
-0.047098677	0.226812219	0.03450695
-0.04627421	0.22777187	0.036023969
-0.043794931	0.230251149	0.040585843
-0.047504797	0.226255602	-0.027536799
-0.047504797	0.226255602	0.03375969
-0.048096182	0.225281102	-0.026436822
-0.048462012	0.224553739	-0.025756378
-0.048096182	0.225281102	0.03267154
-0.048462012	0.224553739	0.031998414
0.002646201	0.235140811	0.085432307
0.003183808	0.234490281	0.085800568
-0.002081535	0.21902763	0.094225896
-0.001543928	0.2183771	0.094594157
-0.001168946	0.217621058	0.09485102
-0.000976374	0.216799396	0.094982932
0.024953222	-0.242994908	-0.056982186
0.026320431	-0.242940998	-0.055659324
0.026382721	-0.242933559	-0.055603236
0.028113379	-0.242576006	-0.054171545
0.02829401	-0.242523444	-0.054034913
0.032322843	-0.232835766	-0.058134681
0.020448794	-0.220961717	-0.079982932
0.021641068	-0.242994908	-0.060296524
0.005818283	-0.242994908	-0.072796525
0.015721058	-0.237074898	-0.071189343
0.029631764	-0.242007567	-0.053129273
0.029825698	-0.241932781	-0.052853622
0.030108056	-0.241797247	-0.052481221
0.031910823	-0.240812398	-0.05023329
0.033216984	-0.240042916	-0.048665311
-0.000101727	-0.237074898	-0.083689343
0.004626009	-0.220961717	-0.092482932
0.005187788	-0.221498813	0.090760481
0.021010573	-0.221498813	0.078260481
0.028868726	-0.237057228	0.06315422
0.029061298	-0.236235567	0.063286132
0.033783185	-0.237621006	0.054503422
0.033215631	-0.23919871	0.054114647
0.033590613	-0.238442668	0.05437151
0.034992904	-0.238227781	0.050808919
0.035367887	-0.237471739	0.051065782
0.036299065	-0.237458299	0.04837946
0.036674047	-0.236702257	0.048636323
0.036658161	-0.237206346	0.047711542
0.037033143	-0.236450304	0.047968405
0.037724642	-0.236314058	0.045727886
0.038099625	-0.235558016	0.045984749
0.038127025	-0.235919055	0.044979454
0.038502007	-0.235163013	0.045236317
0.04627421	-0.22777187	0.02982569
0.046649193	-0.227015828	0.030082553
0.04747366	-0.226056177	0.028549044
0.047879779	-0.22549956	0.027793662
0.048471165	-0.22452506	0.026693684
0.048836995	-0.223797697	0.026013241
0.032176237	-0.24007348	-0.051386308
0.03237014	-0.239998706	-0.051110703
0.032652565	-0.239863143	-0.050738209
0.034455297	-0.238878311	-0.048490326
0.035761458	-0.238108829	-0.046922347
0.036120553	-0.237856877	-0.046535133
0.037187035	-0.236964588	-0.045541484
0.037587423	-0.236571999	-0.045228552
0.043257324	-0.23090168	-0.040954104
0.045736603	-0.2284224	-0.03639223
0.04656107	-0.227462749	-0.034875211
0.043794931	-0.230251149	-0.040585843
0.04627421	-0.22777187	-0.036023969
0.047098677	-0.226812219	0.028292181
0.047098677	-0.226812219	-0.03450695
0.047504797	-0.226255602	0.027536799
0.047504797	-0.226255602	-0.03375969
0.048096182	-0.225281102	0.026436822
0.048462012	-0.224553739	0.025756378
0.048096182	-0.225281102	-0.03267154
0.048462012	-0.224553739	-0.031998414
-0.002646201	-0.235140811	-0.085432307
-0.003183808	-0.234490281	-0.085800568
0.002081536	-0.21902763	-0.094225896
0.001543928	-0.2183771	-0.094594157
0.001168946	-0.217621058	-0.09485102
0.000976374	-0.216799397	-0.094982932
-0.005000991	0.220205675	0.092739795
-0.005193563	0.219384014	0.092871706
-0.021016348	0.219384014	0.080371706
-0.030006746	0.241251525	0.053386136
-0.020823776	0.220205675	0.080239795
-0.032697826	0.232079725	0.058391544
-0.008843198	0.215221693	0.090371706
-0.024665983	0.215221693	0.077871706
-0.036540032	0.227095743	0.056023455
-0.02943628	0.235479525	-0.063029269
-0.029628852	0.234657864	-0.062897357
-0.021578127	0.21992111	-0.077871706
-0.021385555	0.220742771	-0.078003618
-0.005755342	0.21992111	-0.090371706
-0.00556277	0.220742771	-0.090503618
-0.037434173	0.234302892	-0.04837946
-0.034350739	0.236043303	-0.054114648
-0.036128012	0.235072374	-0.050808919
-0.037793269	0.23405094	-0.047711542
-0.03885975	0.233158651	-0.045727886
-0.048224395	0.223669683	-0.028309648
-0.048233785	0.223656812	0.03450695
-0.044930039	0.227095743	0.040585843
-0.047409318	0.224616463	0.036023969
-0.039262133	0.232763648	-0.044979454
-0.047415295	0.224610487	-0.029814574
-0.048639905	0.223100195	-0.027536799
-0.048639905	0.223100195	0.03375969
-0.049231291	0.222125695	0.03267154
-0.049231291	0.222125695	-0.026436822
-0.04959712	0.221398333	0.031998414
-0.04959712	0.221398333	-0.025756378
-0.049974551	0.220456449	0.031303941
-0.049974551	0.220456449	-0.025054357
-0.050253657	0.219559531	-0.02453522
-0.050253657	0.219559531	0.030790386
-0.051479513	0.214648684	-0.022255128
-0.051479513	0.214648684	0.028534811
-0.050831974	0.217588499	-0.023459551
-0.050831974	0.217588499	0.029726284
-0.03704903	0.235946215	-0.04837946
-0.037241601	0.235124554	-0.048511372
-0.034158167	0.236864964	-0.054246559
-0.035742869	0.236715697	-0.050808919
-0.035935441	0.235894035	-0.05094083
-0.033965596	0.237686626	-0.054114648
-0.037408125	0.235694262	-0.047711542
-0.037600697	0.234872601	-0.047843454
-0.038474607	0.234801974	-0.045727886
-0.038667179	0.233980312	-0.045859798
-0.047848642	0.225300135	-0.028292181
-0.048038253	0.22448132	-0.02843009
-0.039222926	0.233434758	-0.044826108
-0.03887699	0.234406971	-0.044979454
-0.047024175	0.226259786	-0.02982569
-0.04721886	0.225435394	-0.029953892
-0.048254762	0.224743518	-0.027536799
-0.048447333	0.223921856	-0.02766871
-0.048846147	0.223769018	-0.026436822
-0.049038719	0.222947357	-0.026568733
-0.049404549	0.222219994	-0.02588829
-0.049781979	0.221278111	-0.025186269
-0.050061086	0.220381192	-0.024667131
-0.050639402	0.218410161	-0.023591463
-0.008650627	0.216043354	0.090503618
-0.024473411	0.216043355	0.078003618
-0.036347461	0.227917404	0.056155367
-0.048041214	0.224478473	0.034638862
-0.047216747	0.225438124	0.036155881
-0.044737467	0.227917404	0.040717755
-0.048447333	0.223921856	0.033891601
-0.049038719	0.222947357	0.032803452
-0.049404549	0.222219994	0.032130325
-0.049781979	0.221278111	0.031435853
-0.050061086	0.220381192	0.030922297
-0.050639402	0.218410161	0.029858195
-0.04747366	0.226056177	0.034763813
-0.047848642	0.225300135	0.03450695
-0.046649193	0.227015828	0.036280832
-0.047024175	0.226259786	0.036023969
-0.044544896	0.228739065	0.040585843
-0.048254762	0.224743518	0.03375969
-0.047879779	0.22549956	0.034016553
-0.048471165	0.22452506	0.032928403
-0.048846147	0.223769018	0.03267154
-0.048836995	0.223797697	0.032255277
-0.049211977	0.223041655	-0.025756378
-0.049211977	0.223041655	0.031998414
-0.049589408	0.222099772	-0.025054357
-0.049589408	0.222099772	0.031303941
-0.049868514	0.221202853	-0.02453522
-0.049868514	0.221202853	0.030790386
-0.05044683	0.219231822	-0.023459551
-0.05044683	0.219231822	0.029726284
-0.007738037	0.217449927	0.091128742
-0.008275644	0.216799396	0.090760481
-0.023560822	0.217449927	0.078628742
-0.03255122	0.239317438	0.051643171
-0.032745052	0.239242691	0.051367665
-0.033027618	0.239107067	0.050994978
-0.03613644	0.237352787	0.04717921
-0.034830279	0.238122269	0.048747189
-0.036495536	0.237100835	0.046791996
-0.037562017	0.236208546	0.045798347
-0.043632306	0.230145638	0.041210967
-0.02336825	0.218271588	0.07849683
-0.035242299	0.230145638	0.056648579
-0.044169913	0.229495107	0.040842706
-0.044362485	0.228673446	0.040974618
-0.024098429	0.216799396	0.078260481
-0.035972478	0.228673446	0.05641223
-0.035779907	0.229495107	0.056280318
-0.023905857	0.217621058	0.078128569
-0.002456518	0.218271588	0.094482759
-0.00264909	0.217449927	0.094614671
-0.001918911	0.217621058	0.09485102
-0.002111482	0.216799396	0.094982932
-0.001543928	0.216865016	0.095107883
-0.001543928	0.215221693	0.095371706
-0.001351356	0.216043354	0.095239795
-0.0017365	0.216043354	0.095239795
0.021016348	-0.219384014	-0.080371706
0.005000992	-0.220205675	-0.092739795
0.005193563	-0.219384014	-0.092871706
0.030006746	-0.241251525	-0.053386136
0.020823776	-0.220205675	-0.080239795
0.032697826	-0.232079724	-0.058391544
0.005755342	-0.21992111	0.090371706
0.00556277	-0.220742771	0.090503618
0.036540032	-0.227095742	-0.056023455
0.024665983	-0.215221693	-0.077871706
0.008843198	-0.215221693	-0.090371706
0.021578127	-0.21992111	0.077871706
0.021385555	-0.220742771	0.078003618
0.02943628	-0.235479525	0.063029269
0.029628852	-0.234657864	0.062897357
0.034350739	-0.236043303	0.054114647
0.036128013	-0.235072374	0.050808919
0.037434173	-0.234302892	0.04837946
0.037793269	-0.23405094	0.047711542
0.044930039	-0.227095742	-0.040585843
0.03885975	-0.233158651	0.045727886
0.039262133	-0.232763648	0.044979454
0.047409319	-0.224616463	0.02982569
0.047409319	-0.224616463	-0.036023969
0.048227489	-0.223665442	0.028303893
0.048233785	-0.223656812	-0.03450695
0.048639905	-0.223100195	0.027536799
0.048639905	-0.223100195	-0.03375969
0.049231291	-0.222125695	-0.03267154
0.049231291	-0.222125695	0.026436822
0.04959712	-0.221398333	-0.031998414
0.04959712	-0.221398333	0.025756378
0.051479513	-0.214648684	-0.028534811
0.051479513	-0.214648684	0.022255128
0.050831974	-0.217588499	0.023459551
0.050831974	-0.217588499	-0.029726284
0.049974551	-0.220456449	-0.031303941
0.050253657	-0.219559531	-0.030790386
0.049974551	-0.220456449	0.025054357
0.050253657	-0.219559531	0.024535219
0.034158167	-0.236864964	0.054246559
0.033965596	-0.237686626	0.054114647
0.035742869	-0.236715697	0.050808919
0.035935441	-0.235894035	0.05094083
0.03704903	-0.235946215	0.04837946
0.037241602	-0.235124554	0.048511372
0.037408125	-0.235694262	0.047711542
0.037600697	-0.234872601	0.047843454
0.038474607	-0.234801974	0.045727886
0.038667179	-0.233980312	0.045859798
0.03887699	-0.234406971	0.044979454
0.03894808	-0.233704563	0.045337321
0.047024175	-0.226259786	0.02982569
0.04721632	-0.225438485	0.029958447
0.047848642	-0.225300135	0.028292181
0.048039231	-0.22448038	0.028428109
0.048254762	-0.224743518	0.027536799
0.048447333	-0.223921856	0.02766871
0.048846147	-0.223769018	0.026436822
0.049038719	-0.222947357	0.026568733
0.049404549	-0.222219994	0.02588829
0.050639402	-0.218410161	0.023591463
0.049781979	-0.221278111	0.025186269
0.050061086	-0.220381192	0.024667131
0.036347461	-0.227917404	-0.056155367
0.024473411	-0.216043354	-0.078003618
0.008650627	-0.216043355	-0.090503618
0.044737467	-0.227917404	-0.040717755
0.047216747	-0.225438124	-0.036155881
0.048041214	-0.224478473	-0.034638862
0.048447333	-0.223921856	-0.033891601
0.049038719	-0.222947357	-0.032803452
0.049404549	-0.222219994	-0.032130325
0.050639402	-0.218410161	-0.029858195
0.049781979	-0.221278111	-0.031435853
0.050061086	-0.220381192	-0.030922297
0.044544896	-0.228739065	-0.040585843
0.046649193	-0.227015828	-0.036280832
0.047024175	-0.226259786	-0.036023969
0.04747366	-0.226056177	-0.034763813
0.047848642	-0.225300135	-0.03450695
0.048254762	-0.224743518	-0.03375969
0.047879779	-0.22549956	-0.034016553
0.048471165	-0.22452506	-0.032928403
0.048846147	-0.223769018	-0.03267154
0.048836995	-0.223797697	-0.032255277
0.049211977	-0.223041655	0.025756378
0.049211977	-0.223041655	-0.031998414
0.05044683	-0.219231822	0.023459551
0.05044683	-0.219231822	-0.029726284
0.049589408	-0.222099772	0.025054357
0.049589408	-0.222099772	-0.031303941
0.049868514	-0.221202853	0.024535219
0.049868514	-0.221202853	-0.030790386
0.007738037	-0.217449927	-0.091128742
0.008275644	-0.216799397	-0.090760481
0.023560822	-0.217449927	-0.078628742
0.03255122	-0.239317438	-0.051643171
0.032745117	-0.239242666	-0.051367573
0.033027553	-0.239107099	-0.050995065
0.03613644	-0.237352787	-0.04717921
0.036495536	-0.237100835	-0.046791996
0.037562017	-0.236208546	-0.045798347
0.034830279	-0.238122269	-0.048747189
0.043632306	-0.230145638	-0.041210967
0.02336825	-0.218271588	-0.07849683
0.035242299	-0.230145638	-0.056648579
0.024098429	-0.216799396	-0.078260481
0.023905857	-0.217621058	-0.078128569
0.044169913	-0.229495107	-0.040842706
0.035972478	-0.228673446	-0.05641223
0.035779907	-0.229495107	-0.056280318
0.044362485	-0.228673446	-0.040974618
0.002456518	-0.218271588	-0.094482759
0.00264909	-0.217449927	-0.094614671
0.001918911	-0.217621058	-0.09485102
0.002111482	-0.216799397	-0.094982932
0.001543928	-0.216865016	-0.095107883
0.001543928	-0.215221693	-0.095371706
0.001351357	-0.216043355	-0.095239795
0.0017365	-0.216043355	-0.095239795

POLYTOPE.ipynb

polytope_vis.ipynb

polytope_vis_pyvista.ipynb

polytope_vis_pyvista_polygons.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from itertools import combinations\n",
    "import numpy as np\n",
    "from scipy.spatial import ConvexHull\n",
    "import pyvista as pv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_connec(vertex_list):\n",
    "    \"\"\"Create connectivity from vertes_list\"\"\"\n",
    "    connec = [[]]*nfaces\n",
    "    for vertex, faces in enumerate(vertex_list):\n",
    "        for face in faces:\n",
    "            aux = connec[face] + [vertex]\n",
    "            connec[face] = aux\n",
    "    return connec"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def isplanar(vertices):\n",
    "    \"\"\"Check if a set of points is coplanar\"\"\"\n",
    "    npts = vertices.shape[0]\n",
    "    if npts == 3:\n",
    "        return True\n",
    "    else:\n",
    "        combs = combinations(range(npts), 4)\n",
    "        for comb in combs:\n",
    "            A, B, C, D  = vertices[comb, :]\n",
    "            mat = np.array([B - A, C - A, D - A])\n",
    "            if np.abs(np.linalg.det(mat)) > 1e-6:\n",
    "                return False\n",
    "        else:\n",
    "            return True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def reorder_face(verts, face):\n",
    "    \"\"\"Reorder a the vertices of a face\"\"\"\n",
    "    pts = verts[face]\n",
    "    npts = pts.shape[0]\n",
    "    centroid = np.mean(pts, axis=0)\n",
    "    angles = np.empty((npts - 1))\n",
    "    v0 = pts[0] - centroid\n",
    "    for cont, pt in enumerate(pts[1:]):\n",
    "        vec = pt - centroid\n",
    "        x = v0.dot(vec)\n",
    "        y = np.sqrt(vec.dot(vec) - x**2)\n",
    "        angles[cont] = np.arctan2(y, x)\n",
    "    order = np.argsort(angles)\n",
    "    order = [0] + list(order + 1)\n",
    "    return [face[k] for k in order]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "verts = np.loadtxt(\"Nodes.txt\")\n",
    "nverts = verts.shape[0]\n",
    "x, y, z = verts.T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open(\"Generators.txt\", \"r\") as file:\n",
    "    nfaces = np.max(list(map(int, file.read().split()))) + 1\n",
    "\n",
    "vertex_list = []\n",
    "with open(\"Generators.txt\", \"r\") as file:\n",
    "    for line in file:\n",
    "        vertex_list.append([int(num) for num in line.split()])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "connect = create_connec(vertex_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "ordered_conn = [reorder_face(verts, face) for face in connect]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "faces = []\n",
    "for face in ordered_conn:\n",
    "    npts = len(face)\n",
    "    faces.append([npts] + face)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "faces = np.hstack(faces)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "surf = pv.PolyData(verts, faces)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "fc2af13721bd4d9684e415d2d591b7b4",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Viewer(geometries=[{'vtkClass': 'vtkPolyData', 'points': {'vtkClass': 'vtkPoints', 'name': '_points', 'numberO…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pl = pv.PlotterITK()\n",
    "pl.add_mesh(surf, scalars=z, smooth_shading=True)\n",
    "pl.show(True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([   8,    0,    5, ..., 1136, 1137, 1135])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "faces"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}