Constrained search summary

Table 1-2: Summary of constrained search runs for *n=186, 195, 197, 199* and *201* through *492*
n	volume	IQ	upper bound	hepts	symm
186	4.258369057100	0.983660680561	0.983773413896	0	D₃
195	4.255098220596	0.984416807234	0.984521180089	0	D₃
197	4.254402155575	0.984577868196	0.984678086027	0	D₅
199	4.253761308626	0.984726198974	0.984831842859	0	C₂
201	4.253093120370	0.984880905787	0.984982544446	1	C₁
202	4.252747197008	0.984961017136	0.985056777840	0	D₅
203	4.252439342773	0.985032323131	0.985130280957	1	C₁
204	4.252100370726	0.985110848658	0.985203064520	0	T_h
205	4.251814044392	0.985177188149	0.985275139044	1	C₁
206	4.251497988190	0.985250426184	0.985346514840	0	C₂
207	4.251197639916	0.985320034396	0.985417202020	0	D₅
208	4.250896047556	0.985389940833	0.985487210500	0	C₂
209	4.250601480268	0.985458228496	0.985556550009	0	C₂
210	4.250293492379	0.985529637494	0.985625230090	0	C₂
211	4.250002631995	0.985597084871	0.985693260105	1	C₁
212	4.249687998752	0.985670055311	0.985760649239	0	I
213	4.249416137931	0.985733114579	0.985827406508	1	C₁
214	4.249112271595	0.985803607212	0.985893540755	0	T
215	4.248842166914	0.985866276089	0.985959060663	1	C₁
216	4.248545851596	0.985935035446	0.986023974751	0	D₃
217	4.248264282262	0.986000381915	0.986088291383	0	D₅
218	4.248001354047	0.986061409984	0.986152018771	0	C₂
219	4.247722901349	0.986126049667	0.986215164973	0	C₂
220	4.247443455215	0.986190928485	0.986277737906	0	D₂
221	4.247178361167	0.986252483080	0.986339745339	0	C₂
222	4.246909804303	0.986314849574	0.986401194906	0	D₃
223	4.246645225851	0.986376299882	0.986462094099	0	C₂
224	4.246379504721	0.986438023292	0.986522450281	0	D₂
225	4.246133172863	0.986495249738	0.986582270682	0	C₁
226	4.245878234728	0.986554482539	0.986641562404	0	C₃
227	4.245624887997	0.986613352637	0.986700332425	0	C₂
228	4.245373920458	0.986671676811	0.986758587600	0	C₂
229	4.245124597730	0.986729625563	0.986816334666	0	C₂
230	4.244873627833	0.986787964033	0.986873580241	0	C₂
231	4.244623911287	0.986846018006	0.986930330829	0	C₂
232	4.244382913175	0.986902051600	0.986986592823	0	C₂
233	4.244132082643	0.986960378052	0.987042372506	0	D₃
234	4.243893950746	0.987015758028	0.987097676052	0	C₂
235	4.243656878313	0.987070897789	0.987152509533	0	C₁
236	4.243415887396	0.987126955250	0.987206878916	0	C₂
237	4.243191488437	0.987179158942	0.987260790069	0	C₁
238	4.242962106723	0.987232527519	0.987314248760	0	C₂
239	4.242734280136	0.987285539987	0.987367260661	0	C₁
240	4.242506545897	0.987338536658	0.987419831350	0	C₂
241	4.242280959674	0.987391039067	0.987471966312	0	C₃
242	4.242053118010	0.987444072070	0.987523670943	0	D₂
243	4.241832979263	0.987495317535	0.987574950549	0	C₂
244	4.241612147916	0.987546729572	0.987625810348	0	D₂
245	4.241400649558	0.987595973802	0.987676255475	1	C₁
246	4.241176946324	0.987648065101	0.987726290981	0	D₃
247	4.240968225048	0.987696672672	0.987775921834	0	C₂
248	4.240752251899	0.987746974115	0.987825152924	0	C₂
249	4.240541307913	0.987796109183	0.987873989062	0	C₂
250	4.240330243295	0.987845277242	0.987922434981	0	C₂
251	4.240122247657	0.987893735163	0.987970495339	1	C₁
252	4.239909340119	0.987943342361	0.988018174720	0	C₂
253	4.239709279260	0.987989960839	0.988065477638	0	C₁
254	4.239503743723	0.988037859617	0.988112408533	0	C₂
255	4.239294867176	0.988086541755	0.988158971777	0	D₃
256	4.239095716411	0.988132961605	0.988205171673	0	T
257	4.238901181520	0.988178309758	0.988251012457	0	D₅
258	4.238709271119	0.988223050193	0.988296498300	0	C₂
259	4.238516273309	0.988268048223	0.988341633310	0	C₂
260	4.238320828948	0.988313620851	0.988386421528	0	C₂
261	4.238133052666	0.988357409438	0.988430866937	0	C₁
262	4.237944040402	0.988401490169	0.988474973458	0	C₂
263	4.237756316957	0.988445274219	0.988518744951	0	C₁
264	4.237561737513	0.988490661435	0.988562185219	0	D₂
265	4.237384687029	0.988531963503	0.988605298009	0	C₂
266	4.237197438441	0.988575648325	0.988648087008	0	D₃
267	4.237013711422	0.988618515322	0.988690555852	0	C₂
268	4.236829196740	0.988661569839	0.988732708119	0	C₂
269	4.236647451597	0.988703981779	0.988774547337	2	C₁
270	4.236461839623	0.988747299836	0.988816076980	2	C₁
271	4.236275586835	0.988790771262	0.988857300471	1	C_s
272	4.236088810808	0.988834368651	0.988898221182	0	I_h
273	4.235934771494	0.988870327507	0.988938842439	0	D₃
274	4.235761184564	0.988910852683	0.988979167515	0	D₂
275	4.235592533729	0.988950228670	0.989019199638	0	C₁
276	4.235418709117	0.988990815895	0.989058941990	0	T
277	4.235249466776	0.989030336382	0.989098397704	0	C₁
278	4.235081595308	0.989069539871	0.989137569871	0	C₂
279	4.234909688761	0.989109688904	0.989176461537	0	C₃
280	4.234742639527	0.989148706627	0.989215075702	2	C₂
281	4.234570463431	0.989188925054	0.989253415328	1	C₁
282	4.234397539403	0.989229321481	0.989291483332	0	I
283	4.234246611508	0.989264582134	0.989329282589	0	C₃
284	4.234092006440	0.989300704476	0.989366815936	0	C₂
285	4.233932447370	0.989337987050	0.989404086168	1	C₁
286	4.233769035096	0.989376172877	0.989441096043	0	C₂
287	4.233607743314	0.989413866082	0.989477848280	0	D₅
288	4.233451019080	0.989450494622	0.989514345559	0	C₂
289	4.233295112335	0.989486934795	0.989550590524	0	C₂
290	4.233137064890	0.989523878055	0.989586585783	1	C₁
291	4.232977524525	0.989561173079	0.989622333907	0	D₃
292	4.232822902553	0.989597321036	0.989657837433	0	T
293	4.232671169817	0.989632796107	0.989693098862	0	D₃
294	4.232526769204	0.989666559291	0.989728120663	0	C₂
295	4.232381674428	0.989700487103	0.989762905269	0	C₂
296	4.232235993217	0.989734554382	0.989797455083	1	C₁
297	4.232087262800	0.989769337132	0.989831772473	0	C₂
298	4.231940398386	0.989803685889	0.989865859778	0	C₂
299	4.231794353505	0.989837845338	0.989899719302	0	C₂
300	4.231651358823	0.989871293639	0.989933353323	0	C₂
301	4.231506208024	0.989905248595	0.989966764084	0	C_2v
302	4.231363905506	0.989938539518	0.989999953802	1	C₁
303	4.231220718646	0.989972039588	0.990032924663	1	C₁
304	4.231076271621	0.990005836785	0.990065678825	0	D₂
305	4.230934807247	0.990038938348	0.990098218417	0	C₂
306	4.230796386622	0.990071329840	0.990130545541	0	T_h
307	4.230655220854	0.990104365900	0.990162662270	0	C_s
308	4.230514102105	0.990137393160	0.990194570652	0	D₂
309	4.230386091681	0.990167354470	0.990226272708	0	C₃
310	4.230252418864	0.990198643019	0.990257770433	0	C₂
311	4.230115892417	0.990230601553	0.990289065796	0	C₂
312	4.229980104014	0.990262389369	0.990320160740	0	I
313	4.229850838555	0.990292652073	0.990351057185	1	C₁
314	4.229715822538	0.990324263031	0.990381757026	0	D₂
315	4.229584989088	0.990354896661	0.990412262133	0	D₃
316	4.229455253420	0.990385275125	0.990442574352	0	C₂
317	4.229323134407	0.990416213580	0.990472695509	0	D₅
318	4.229195741156	0.990446047229	0.990502627403	0	D₃
319	4.229070689236	0.990475334321	0.990532371813	1	C₁
320	4.228941359487	0.990505625099	0.990561930495	0	C₂
321	4.228816213000	0.990534937865	0.990591305182	1	C₁
322	4.228687882676	0.990564998175	0.990620497588	0	D₂
323	4.228566947756	0.990593327844	0.990649509404	1	C₁
324	4.228439697692	0.990623138618	0.990678342301	0	D₂
325	4.228319163922	0.990651377627	0.990706997928	0	C₂
326	4.228195152491	0.990680433073	0.990735477916	1	C₁
327	4.228070831388	0.990709562785	0.990763783874	0	C₂
328	4.227949227223	0.990738057547	0.990791917393	0	D₂
329	4.227830720176	0.990765828158	0.990819880043	0	C₂
330	4.227710913115	0.990793904993	0.990847673377	0	D₃
331	4.227593341244	0.990821459557	0.990875298927	0	C₂
332	4.227474635932	0.990849281314	0.990902758208	0	D₂
333	4.227356952644	0.990876865074	0.990930052718	0	C₂
334	4.227243614235	0.990903431891	0.990957183934	0	C₂
335	4.227129856553	0.990930098419	0.990984153318	0	C₁
336	4.227016038410	0.990956780557	0.991010962313	0	D₂
337	4.226901151386	0.990983714728	0.991037612346	2	C₁
338	4.226785821173	0.991010754272	0.991064104827	1	C₁
339	4.226671105956	0.991037651092	0.991090441147	0	D₃
340	4.226561997485	0.991063234676	0.991116622685	0	C₂
341	4.226449676075	0.991089573005	0.991142650801	0	C₂
342	4.226337774572	0.991115814261	0.991168526839	0	C₃
343	4.226226429278	0.991141926464	0.991194252128	1	C₁
344	4.226114518726	0.991168172615	0.991219827982	0	D₂
345	4.226006368958	0.991193538078	0.991245255699	0	C₁
346	4.225896025919	0.991219419289	0.991270536562	2	C₁
347	4.225786107665	0.991245202210	0.991295671841	1	C_s
348	4.225676728150	0.991270860093	0.991320662788	0	T_h
349	4.225575252232	0.991294665164	0.991345510643	0	C₁
350	4.225469626556	0.991319444935	0.991370216633	0	C₂
351	4.225365920428	0.991343775585	0.991394781968	1	C₁
352	4.225259599249	0.991368720997	0.991419207846	0	D₅
353	4.225155874933	0.991393058334	0.991443495451	3	C₃
354	4.225051187605	0.991417622839	0.991467645955	2	C₁
355	4.224946596967	0.991442165871	0.991491660514	1	C₁
356	4.224842112378	0.991466685232	0.991515540273	0	D₃
357	4.224740269689	0.991490585786	0.991539286365	0	D₅
358	4.224639728034	0.991514182142	0.991562899908	0	T
359	4.224542984710	0.991536888119	0.991586382010	1	C₁
360	4.224441557533	0.991560694529	0.991609733763	0	D₃
361	4.224344732272	0.991583421870	0.991632956252	1	C₁
362	4.224244849703	0.991606867931	0.991656050546	5	C₅
363	4.224145555146	0.991630177062	0.991679017703	4	C₁
364	4.224046214990	0.991653497995	0.991701858772	3	C₁
365	4.223947424380	0.991676691005	0.991724574786	2	C₁
366	4.223849181764	0.991699756438	0.991747166771	1	C₁
367	4.223750899754	0.991722832194	0.991769635740	0	D₅
368	4.223657854306	0.991744679441	0.991791982694	4	C₁
369	4.223560648692	0.991767504530	0.991814208624	3	C₁
370	4.223463870599	0.991790230277	0.991836314512	2	C₁
371	4.223367550207	0.991812849578	0.991858301327	1	C₁
372	4.223271041762	0.991835514075	0.991880170029	0	I
373	4.223188617029	0.991854871908	0.991901921566	2	C₂
374	4.223094903509	0.991876881883	0.991923556878	3	C₁
375	4.223001857361	0.991898736081	0.991945076894	2	C₂
376	4.222909631554	0.991920398553	0.991966482533	1	C₁
377	4.222817522009	0.991942034662	0.991987774705	0	D₅
378	4.222732036495	0.991962115660	0.992008954309	2	C₂
379	4.222641558354	0.991983370338	0.992030022235	3	C₁
380	4.222550935962	0.992004659816	0.992050979365	2	C₁
381	4.222460679487	0.992025864240	0.992071826571	1	C₁
382	4.222370351143	0.992047086455	0.992092564714	0	D₅
383	4.222283906232	0.992067397127	0.992113194649	7	C₁
384	4.222194576643	0.992088386442	0.992133717221	6	C₂
385	4.222106257367	0.992109139242	0.992154133264	5	C₁
386	4.222018197148	0.992129832035	0.992174443607	4	C₁
387	4.221930344760	0.992150476851	0.992194649068	0	D₅
388	4.221843392460	0.992170910998	0.992214750458	2	C₂
389	4.221756687171	0.992191287934	0.992234748579	1	C₁
390	4.221670127666	0.992211631443	0.992254644223	0	T_h
391	4.221588062872	0.992230919361	0.992274438178	1	C₁
392	4.221501785918	0.992251198083	0.992294131220	0	I
393	4.221423414991	0.992269619274	0.992313724120	0	C₂
394	4.221340045942	0.992289216031	0.992333217639	4	C₁
395	4.221256362421	0.992308887486	0.992352612532	3	C₁
396	4.221173042702	0.992328474197	0.992371909544	2	C₁
397	4.221090249064	0.992347938004	0.992391109416	1	C₁
398	4.221007629343	0.992367361686	0.992410212879	0	D₃
399	4.220925783511	0.992386604178	0.992429220656	1	C₁
400	4.220844004364	0.992405831738	0.992448133466	0	T
401	4.220763932175	0.992424658687	0.992466952019	1	C₁
402	4.220683254195	0.992443628795	0.992485677016	0	D₃
403	4.220606148436	0.992461759631	0.992504309155	1	C₁
404	4.220527713771	0.992480203629	0.992522849123	0	C₂
405	4.220448657733	0.992498794438	0.992541297604	6	C₁
406	4.220369523969	0.992517404222	0.992559655273	5	C₁
407	4.220290927574	0.992535888324	0.992577922799	4	C₁
408	4.220212531421	0.992554326020	0.992596100843	3	C₁
409	4.220134473424	0.992572684867	0.992614190062	2	C₂
410	4.220057548162	0.992590777965	0.992632191106	2	C₂
411	4.219980494980	0.992608901811	0.992650104618	1	C₁
412	4.219903527872	0.992627006073	0.992667931233	0	D₂
413	4.219828440794	0.992644668748	0.992685671584	1	C₁
414	4.219752642792	0.992662499292	0.992703326295	2	C₂
415	4.219677240796	0.992680237315	0.992720895984	1	C₁
416	4.219601760167	0.992697994471	0.992738381264	0	D₂
417	4.219530379947	0.992714787573	0.992755782743	2	C₂
418	4.219457161231	0.992732013794	0.992773101020	2	C₂
419	4.219383644609	0.992749310705	0.992790336691	6	C₁
420	4.219310037674	0.992766629469	0.992807490347	5	C₁
421	4.219236613249	0.992783905893	0.992824562570	4	C₂
422	4.219163850455	0.992801027231	0.992841553940	11	C₁
423	4.219091121781	0.992818141130	0.992858465029	11	C₁
424	4.219018617544	0.992835202805	0.992875296406	10	C₁
425	4.218946643117	0.992852140385	0.992892048631	9	C₁
426	4.218875037759	0.992868991685	0.992908722263	8	D₂
427	4.218803811956	0.992885754231	0.992925317853	7	C₁
428	4.218732719029	0.992902486070	0.992941835948	6	S₆
429	4.218662238987	0.992919074221	0.992958277089	5	C₁
430	4.218592112660	0.992935579673	0.992974641813	4	C₂
431	4.218522590826	0.992951943388	0.992990930651	3	C₁
432	4.218453249529	0.992968265146	0.993007144131	2	C₂
433	4.218384315072	0.992984491674	0.993023282773	1	C₁
434	4.218315524299	0.993000684908	0.993039347094	0	C₂
435	4.218247654870	0.993016661777	0.993055337608	5	C₁
436	4.218179187859	0.993032779841	0.993071254821	4	D₂
437	4.218111608408	0.993048689474	0.993087099236	7	C₁
438	4.218043669467	0.993064684254	0.993102871352	6	D₃
439	4.217976885049	0.993080407727	0.993118571662	5	C₁
440	4.217910184871	0.993096111864	0.993134200656	8	C₂
441	4.217843993966	0.993111696587	0.993149758817	7	C₁
442	4.217777873909	0.993127265117	0.993165246628	6	C₂
443	4.217712046124	0.993142765314	0.993180664564	11	C₁
444	4.217644910397	0.993158573985	0.993196013096	12	C₂
445	4.217579354184	0.993174011209	0.993211292692	11	C₁
446	4.217514093153	0.993189379399	0.993226503816	10	C₁
447	4.217449377093	0.993204619725	0.993241646927	9	C₁
448	4.217384824440	0.993219822036	0.993256722480	12	D₂
449	4.217320633840	0.993234939543	0.993271730926	11	C₁
450	4.217256757850	0.993249983414	0.993286672712	10	C₁
451	4.217193208642	0.993264950774	0.993301548281	8	C₁
452	4.217129605204	0.993279931358	0.993316358073	12	C₂
453	4.217066743846	0.993294737604	0.993331102523	11	C₁
454	4.217004076674	0.993309498551	0.993345782062	10	C₁
455	4.216941741297	0.993324181780	0.993360397118	9	C₁
456	4.216878620357	0.993339050492	0.993374948115	12	D₃
457	4.216817211948	0.993353516230	0.993389435473	11	C₁
458	4.216756039039	0.993367926910	0.993403859609	10	C₂
459	4.216695161575	0.993382268407	0.993418220935	9	C₁
460	4.216633383620	0.993396822465	0.993432519862	12	D₂
461	4.216573007695	0.993411046635	0.993446756795	11	C₁
462	4.216512812299	0.993425228679	0.993460932136	10	C₂
463	4.216452669966	0.993439398626	0.993475046283	11	C₁
464	4.216392851259	0.993453492726	0.993489099633	11	C₁
465	4.216331190924	0.993468021156	0.993503092578	12	D₃
466	4.216272020646	0.993481963278	0.993517025506	11	C₁
467	4.216212745931	0.993495930401	0.993530898802	12	C₁
468	4.216152218346	0.993510193147	0.993544712848	12	T
469	4.216093764013	0.993523967740	0.993558468023	12	C₁
470	4.216034575294	0.993537915778	0.993572164703	12	C₁
471	4.215976295418	0.993551650027	0.993585803260	11	C₁
472	4.215918074451	0.993565370772	0.993599384063	10	S₁₀
473	4.215860772739	0.993578875249	0.993612907478	9	C₁
474	4.215803375745	0.993592402550	0.993626373868	8	C₂
475	4.215746274473	0.993605860521	0.993639783594	7	C₁
476	4.215689228022	0.993619305935	0.993653137012	6	C₁
477	4.215632421026	0.993632695274	0.993666434475	5	C₅
478	4.215576015759	0.993645990282	0.993679676335	4	C₁
479	4.215519772540	0.993659247449	0.993692862941	3	C₁
480	4.215462709974	0.993672698106	0.993705994636	12	C₂
481	4.215406855523	0.993685864343	0.993719071764	12	C₁
482	4.215351397209	0.993698937545	0.993732094664	12	C₂
483	4.215296311392	0.993711923280	0.993745063671	11	C₁
484	4.215241463154	0.993724853345	0.993757979121	10	C₂
485	4.215186943559	0.993737706269	0.993770841345	8	C₁
486	4.215131555917	0.993750764174	0.993783650670	12	C₁
487	4.215077324411	0.993763549847	0.993796407422	12	C₁
488	4.215023723597	0.993776187151	0.993809111924	12	C₁
489	4.214970055776	0.993788840575	0.993821764497	11	C₁
490	4.214914714447	0.993801888904	0.993834365459	12	C₂
491	4.214861179965	0.993814511543	0.993846915124	12	C₂
492	4.214807101002	0.993827262887	0.993859413805	12	C₂

Note for 1/31/2021: Corrected symmetry identification for n=428 (was C_3h, corrected to S₆) and n=472 (was C_5h, corrected to S₁₀).

Wayne Deeter - wrd@deetour.net

Last modified: January 31, 2021