The best known packings of equal spheres in a sphere (complete up to N = 600)

Last update: 23-Jul-2023


Download    Results    History of updates    References

Overview

1-12   13-24   25-36   37-48   49-60   61-72   73-84   85-96   97-108   109-120   121-132   133-144   145-156   157-168   169-180   181-192   193-204   205-216   217-228   229-240   241-252   253-264   265-276   277-288   289-300   301-312   313-324   325-336   337-348   349-360   361-372   373-384   385-396   397-408   409-420   421-432   433-444   445-456   457-468   469-480   481-492   493-504   505-516   517-528   529-540   541-552   553-564   565-576   577-588   589-600   601-767   791-1253   1289-1986   2000-2779   2899-3589   3781-4585   4729-5481   5721-6603   7000-40143   50000-100281   110109-500000  


Download

You may download ASCII files which contain all the values of radius, ratio etc. by using the links given in the table header below.
All coordinates of all packings are packed as ASCII files here.


Results

The table below summarizes the current status of the search.
Please use the links in the following table to view a picture for a certain configuration.
Furthermore, note that for certain values of N several distinct optimal configurations exist; however, only one is shown here.
Proven optimal packings are indicated by a radius in bold face type.

Legend:
N
the number of spheres; colors correspond to active researchers in the past, see "References" at the bottom of the page
radius
of the spheres in the container sphere
distance
packing of spheres in a sphere is equivalent to distributing points in a sphere; the latter are then the sphere centers. "distance" is here the largest distance between these points
ratio
= 1/radius
density
ratio of total volume occupied by the spheres to container volume (for an infinite face-centered cubic packing you get the well-known value ρ = Pi/(3*sqrt(2))=0.74048048969)
contacts
number of contacts between circles and container and between the circles themselves, respectively
reference
for the best known packing so far
records
the sequence of N 's that establish density records

     
Nradiusdistance ratio density contacts loose boundary reference
1    1.000000000000    1.0000000000    1.000000000000    1 1
2    0.500000000000 2.000000000000    2.0000000000 0.250000000000 3 2
3    0.464101615138 1.732050807571 2.1547005384 0.299888971118 6 3 [1]
4    0.449489742783 1.632993161854 2.2247448714 0.363261480388 10 4 [1]
5    0.414213562373 1.414213562373 2.4142135624 0.355339059327 12 5 [1]
6    0.414213562373 1.414213562373 2.4142135624 0.426406871193 18 6 [1]
7    0.385913557400 1.256870468483 2.5912538723 0.402316780932 19 7 [2]
8    0.378024844801 1.215562524133 2.6453287760 0.432166419789 24 8 [2]
9    0.366025403785 1.154700538382 2.7320508076 0.441342951092 27 9 [2]
10    0.353049430432 1.091426291402 2.8324645611 0.440054580178 29 10 [5]
11    0.344576516755 1.051462224237 2.9021130326 0.450038547852 36 11 [5]
12    0.344576516755 1.051462224237 2.9021130326 0.490951143111 42 12 [1]
13    0.333333333333 1.000000000000 3.0000000000 0.481481481481 24 12
14    0.323504674183 0.956413627226 3.0911454449 0.473990585425 37 1 13 [2]
15    0.318304823107 0.933862623344 3.1416426249 0.483749932003 42 1 14 [2]
16    0.310975923325 0.902656188230 3.2156830320 0.481171926089 45 1 15 [2]
17    0.305693961650 0.880574112178 3.2712455117 0.485634466608 48 1 16 [2]
18    0.301296589342 0.862444879318 3.3189887817 0.492328697969 51 1 17 [5]
19    0.295332333897 0.838217355793 3.3860159733 0.489425500215 52 1 18 [6]
20    0.287890825717 0.808558114721 3.4735389622 0.477214324831 52 2 19 [7]
21    0.286832818119 0.804391523913 3.4863514104 0.495570920187 57 3 20 [3]
22    0.279342624810 0.775243921527 3.5798331912 0.479550457554 61 1 21 [8]
23    0.275670701290 0.761175067144 3.6275164365 0.481836470826 64 1 22 [8]
24    0.271341339941 0.744769409368 3.6853949355 0.479467459313 68 1 22 [31]
25    0.271191827927 0.744206331155 3.6874267475 0.498620125704 84 1 24 [4]
26    0.266851272489 0.727959450724 3.7474057765 0.494061693011 77 24 [11]
27    0.262232080452 0.710879596426 3.8134159569 0.486879204757 78 1 24 [11]
28    0.260305475681 0.703818852575 3.8416402782 0.493864651913 82 25 [11]
29    0.257925462478 0.695147049080 3.8770891032 0.497600320836 76 3 26 [11]
30    0.255330557656 0.685755432242 3.9164916616 0.499378264835 86 1 27 [11]
31    0.253116209529 0.677792751050 3.9507544849 0.502714681184 85 2 27 [11]
32    0.250787448179 0.669469425117 3.9874403893 0.504739586490 93 1 28 [11]
33    0.248762350343 0.662273384345 4.0199009160 0.508004891658 94 1 29 [11]
34    0.247052663501 0.656228268632 4.0477199712 0.512681372527 102 30 [11]
35    0.244833658425 0.648423122022 4.0844057408 0.513666698068 100 1 30 [11]
36    0.243132164915 0.642469275729 4.1129893297 0.517403964757 98 4 32 [11]
37    0.240686558293 0.633958376272 4.1547812520 0.515890148167 110 32 [11]
38    0.240519372142 0.633378557187 4.1576692600 0.528729790846 116 32 [11]
39    0.236745240285 0.620357062361 4.2239497563 0.517497643020 97 6 33 [11]
40    0.234999237637 0.614376479603 4.2553329537 0.519109947837 98 7 34 [11]
41    0.232755981857 0.606732607497 4.2963450048 0.516995080282 100 7 35 [11]
42    0.232118623301 0.604568961677 4.3081420430 0.525265949758 108 6 36 [11]
43    0.229732967254 0.596502141433 4.3528798324 0.521360856683 127 36 [11]
44    0.228163038226 0.591220813529 4.3828308379 0.522623038233 127 1 36 [11]
45    0.226911569263 0.587026167360 4.4070031477 0.525753813707 119 5 38 [11]
46    0.225168199111 0.581205363158 4.4411244747 0.525144709692 138 38 [11]
47    0.223507049839 0.575683397493 4.4741318035 0.524773065591 133 2 38 [11]
48    0.222405942149 0.572036115512 4.4962827447 0.528056504400 139 1 39 [11]
49    0.221278177007 0.568311226097 4.5191984746 0.530898911129 142 1 40 [11]
50    0.219758275796 0.563308187652 4.5504543407 0.530647009782 142 2 41 [11]
51    0.218550295807 0.559345776534 4.5756057950 0.532383236403 145 2 42 [11]
52    0.216930407731 0.554051414773 4.6097732930 0.530841223195 142 4 42 [11]
53    0.216288057367 0.551958048873 4.6234637833 0.536257636148 142 5 43 [11]
54    0.214920670908 0.547513258709 4.6528795754 0.536078417223 160 44 [11]
55    0.213441688789 0.542723116002 4.6851203515 0.534811127622 151 4 43 [11]
56    0.213067869308 0.541515236189 4.6933402171 0.541678896170 154 4 44 [11]
57    0.211327241143 0.535906023808 4.7319976099 0.537949249393 166 1 45 [12]
58    0.210480101312 0.533185044891 4.7510429431 0.540830438196 165 3 45 [11]
59    0.209759450876 0.530874937027 4.7673656459 0.544523495682 163 4 46 [11]
60    0.209426996435 0.529810644914 4.7749335903 0.551123897404 156 12 48 [11]
61    0.209108659202 0.528792385035 4.7822027257 0.557758101350 204 48 [11]
62    0.206739154000 0.521238770431 4.8370131185 0.547847764413 184 1 48 [11]
63    0.205954921018 0.518748686868 4.8554314461 0.550372935465 204 1 48 [11]
64    0.204107219252 0.512901295725 4.8993857428 0.544195657340 172 6 48 [31]
65    0.203076051707 0.509649765557 4.9242635535 0.544364116868 192 1 50 [11]
66    0.202108764115 0.506607304417 4.9478309581 0.544878127391 187 3 50 [11]
67    0.201216632889 0.503807768599 4.9697680835 0.545841352947 178 7 52 [11]
68    0.200002230133 0.500006969185 4.9999442473 0.544018198088 193 3 52 [11]
69    0.199281532516 0.497756803692 5.0180264442 0.546072434137 184 7 52 [11]
70    0.198688729141 0.495908984103 5.0329981188 0.549057383073 199 3 53 [11]
71    0.197222141221 0.491349229589 5.0704246177 0.544659844168 196 5 54 [11]
72    0.196285915470 0.488447121304 5.0946090432 0.544502539950 211 1 54 [11]
73    0.195628445518 0.486413136884 5.1117310540 0.546536123531 205 4 55 [12]
74    0.195146793635 0.484925181615 5.1243475815 0.549940848873 212 3 56 [31]
75    0.193964427622 0.481280068198 5.1555845175 0.547302624777 212 5 56 [31]
76    0.192947674925 0.478154064935 5.1827522689 0.545924067536 216 3 57 [12]
77    0.192254102239 0.476026192821 5.2014494794 0.547164069942 210 6 58 [12]
78    0.191458926390 0.473591095466 5.2230523740 0.547421008606 173 20 59 [31]
79    0.190659742093 0.471148544090 5.2449457291 0.547525177852 233 1 58 [31]
80    0.189727296732 0.468304796561 5.2707228597 0.546360688398 222 4 58 [12]
81    0.188970653150 0.466002010615 5.2918269759 0.546598091937 231 3 60 [12]
82    0.188297320002 0.463956383641 5.3107500414 0.547452280064 237 2 61 [12]
83    0.187640284124 0.461963537721 5.3293460126 0.548348093717 247 61 [31]
84    0.186956031676 0.459891565425 5.3488512301 0.548905685957 241 3 61 [12]
85    0.186411242271 0.458244390671 5.3644833209 0.550598758375 240 4 60 [12]
86    0.185610957844 0.455828721252 5.3876129492 0.549932374075 250 2 63 [31]
87    0.184952925832 0.453845996616 5.4067811877 0.550430981393 250 3 63 [12]
88    0.184275885830 0.451809337566 5.4266460069 0.550665914247 249 4 64 [12]
89    0.183598057582 0.449773691224 5.4466807175 0.550800407839 256 3 62 [31]
90    0.182937330629 0.447792654068 5.4663528574 0.550997365698 265 1 64 [12]
91    0.182353276900 0.446044169805 5.4838608716 0.551800523769 265 2 64 [12]
92    0.181782421764 0.444337610433 5.5010819544 0.552641484079 259 5 65 [31]
93    0.181286816984 0.442857940352 5.5161208997 0.554091668176 270 2 64 [12]
94    0.180816214371 0.441454573547 5.5304774712 0.555699455188 271 2 60 [12]
95    0.180532959436 0.440610666444 5.5391547512 0.558975933361 318 60 [12]
96    0.179567271930 0.437737954099 5.5689435455 0.555843827283 274 4 65 [12]
97    0.179019633861 0.436111851744 5.5859794729 0.556510967846 288 1 66 [31]
98    0.178499525132 0.434569499575 5.6022558002 0.557361890935 287 1 67 [12]
99    0.177879839132 0.432734404529 5.6217725678 0.557205479592 288 2 68 [12]
100    0.177439223049 0.431431276619 5.6357325219 0.558661678026 288 3 69 [12]
101    0.176685328690 0.429204858961 5.6597794928 0.557086764037 295 2 70 [12]
102    0.176215110923 0.427818264840 5.6748822207 0.558122607519 298 2 68 [31]
103    0.175681317426 0.426246113644 5.6921248921 0.558488150799 296 3 69 [12]
104    0.175184121787 0.424783582408 5.7082798932 0.559136135311 295 5 68 [12]
105    0.174670246799 0.423273839630 5.7250734932 0.559559277463 288 8 72 [12]
106    0.174167434485 0.421798417155 5.7416014823 0.560024116065 289 9 72 [12]
107    0.173608230754 0.420159631823 5.7600955649 0.559879687186 307 4 70 [31]
108    0.173168221779 0.418871713303 5.7747315860 0.560826268620 302 6 71 [12]
109    0.172638823470 0.417323965318 5.7924398458 0.560843771142 313 4 73 [31]
110    0.172285229701 0.416291301987 5.8043281002 0.562518518025 325 1 73 [31]
111    0.171744763732 0.414714586064 5.8225938204 0.562307004483 323 2 73 [12]
112    0.171331205216 0.413509489665 5.8366483720 0.563284022113 334 75 [12]
113    0.170853998626 0.412120418703 5.8529505194 0.563577810665 331 2 76 [31]
114    0.170449574713 0.410944457425 5.8668377535 0.564537268017 336 1 77 [12]
115    0.169842854914 0.409182420267 5.8877955184 0.563429632811 331 4 77 [12]
116    0.169416011733 0.407944323816 5.9026298032 0.564054866161 334 4 76 [12]
117    0.169057830671 0.406906369447 5.9151356434 0.565316598738 337 4 78 [12]
118    0.168723599855 0.405938626011 5.9268531543 0.566773460390 334 6 78 [31]
119    0.168129130494 0.404219300512 5.9478092646 0.565556323062 340 5 76 [31]
120    0.167683162280 0.402931082686 5.9636279898 0.565782633527 344 4 77 [12]
121    0.167217554423 0.401587606250 5.9802333759 0.565758350669 344 5 77 [12]
122    0.166842968535 0.400507856824 5.9936598394 0.566609113836 364 80 [12]
123    0.166501095219 0.399523248956 6.0059664994 0.567749022508 353 4 77 [12]
124    0.166045648129 0.398212798473 6.0224402824 0.567680763987 346 8 79 [12]
125    0.165707392900 0.397240468129 6.0347337708 0.568768671181 352 6 78 [12]
126    0.165236192632 0.395887294521 6.0519428829 0.568441901274 363 4 80 [12]
127    0.164839061175 0.394748014453 6.0665232674 0.568832128583 364 5 80 [12]
128    0.164504180481 0.393788159409 6.0788728717 0.569824065051 334 16 74 [31]
129    0.164142275068 0.392751709224 6.0922757381 0.570493967000 356 9 82 [12]
130    0.163801759674 0.391777336460 6.1049405207 0.571345802559 341 15 76 [31]
131    0.163545332969 0.391044104158 6.1145126054 0.573041086625 369 7 77 [31]
132    0.163232271313 0.390149537839 6.1262395723 0.574105889754 388 2 81 [12]
133    0.162963979279 0.389383432121 6.1363253673 0.575607578596 373 8 79 [12]
134    0.162832431396 0.389007977621 6.1412827373 0.578532180935 373 9 80 [12]
135    0.162579700716 0.388286982905 6.1508293815 0.580139889296 373 10 81 [31]
136    0.162377505587 0.387710470218 6.1584884950 0.582259395392 379 9 82 [12]
137    0.161772816367 0.385987998303 6.1815082562 0.580012303665 394 5 82 [31]
138    0.161135317283 0.384174755721 6.2059641354 0.577366128375 403 3 84 [12]
139    0.160746451292 0.383070054430 6.2209771473 0.577349750330 388 9 85 [12]
140    0.160407536677 0.382108090972 6.2341210439 0.577833004818 407 3 84 [12]
141    0.160041657637 0.381070464011 6.2483731721 0.577987219679 414 2 85 [12]
142    0.159699976468 0.380102277748 6.2617416866 0.578366194897 406 6 86 [31]
143    0.159449054966 0.379391768952 6.2715956530 0.579698112354 416 3 87 [12]
144    0.159153647227 0.378555836513 6.2832364663 0.580513439664 407 7 88 [12]
145    0.158609167902 0.377016629731 6.3048057891 0.578565938851 403 9 89 [12]
146    0.158248840832 0.375999104030 6.3191616112 0.578594722869 414 7 90 [12]
147    0.157784117755 0.374688060582 6.3377734986 0.577440435470 422 6 91 [31]
148    0.157566226580 0.374073859694 6.3465377175 0.578963412147 425 4 93 [12]
149    0.157097566347 0.372753856378 6.3654709825 0.577689721248 409 11 92 [12]
150    0.156777563375 0.371853396128 6.3784637194 0.578020165807 439 3 94 [31]
151    0.156639601709 0.371465394929 6.3840816057 0.580338867387 267 61 95 [12]
152    0.156043096057 0.369789251862 6.4084860226 0.577533610379 436 6 92 [12]
153    0.155692883767 0.368806280969 6.4229011359 0.577427840167 445 4 93 [12]
154    0.155367240049 0.367893000168 6.4363632879 0.577562614615 435 8 97 [12]
155    0.154949442778 0.366722301888 6.4537179487 0.576636002881 439 8 95 [12]
156    0.154643961095 0.365867052409 6.4664665398 0.576930493762 450 5 96 [12]
157    0.154337213662 0.365008880977 6.4793187351 0.577180458275 448 7 95 [12]
158    0.154083534304 0.364299645538 6.4899861268 0.577997262645 457 5 96 [12]
159    0.153727325154 0.363304475551 6.5050243930 0.577630791573 438 11 97 [12]
160    0.153403357533 0.362400108477 6.5187621450 0.577596533306 444 11 96 [12]
161    0.153102008154 0.361559502155 6.5315929690 0.577788026126 445 12 98 [12]
162    0.152786819146 0.360680930370 6.5450672093 0.577793541313 460 8 98 [12]
163    0.152491830397 0.359859257683 6.5577283543 0.577999332125 472 5 100 [12]
164    0.152217002164 0.359094255377 6.5695683516 0.578406735310 463 9 98 [12]
165    0.151988754849 0.358459291000 6.5794341232 0.579319724566 459 11 100 [12]
166    0.151626166439 0.357451303755 6.5951677305 0.578669446764 477 6 100 [12]
167    0.151294930062 0.356531227210 6.6096068096 0.578348476563 472 9 101 [31]
168    0.150986887221 0.355676219714 6.6230917029 0.578265092907 476 8 102 [12]
169    0.150685491649 0.354840262747 6.6363389670 0.578230536229 475 10 104 [12]
170    0.150452765784 0.354195175323 6.6466042999 0.578961185413 481 8 102 [12]
171    0.150135989132 0.353317677211 6.6606281797 0.578696078031 498 3 103 [12]
172    0.149892223023 0.352642869721 6.6714601988 0.579249608148 498 5 104 [12]
173    0.149659923603 0.352000165010 6.6818155183 0.579912754576 504 4 104 [12]
174    0.149312072355 0.351038418444 6.6973820953 0.579207288202 502 6 106 [12]
175    0.149028305343 0.350254435675 6.7101346801 0.579221051316 490 10 106 [12]
176    0.148746152163 0.349475429780 6.7228629814 0.579228453802 488 12 106 [12]
177    0.148444094135 0.348642040087 6.7365428435 0.578977968134 500 9 108 [12]
178    0.148146423763 0.347821334312 6.7500785682 0.578753351094 519 3 106 [12]
179    0.147865070887 0.347046144538 6.7629223995 0.578695117817 509 8 107 [12]
180    0.147648144480 0.346448813419 6.7728585654 0.579370643052 522 4 109 [31]
181    0.147348107355 0.345623128562 6.7866497775 0.579044925989 527 3 108 [12]
182    0.147059350529 0.344829034986 6.7999756316 0.578827716804 526 6 109 [12]
183    0.146783935970 0.344072134031 6.8127346047 0.578744233400 526 7 108 [31]
184    0.146521901384 0.343352457717 6.8249182583 0.578795919034 538 4 109 [12]
185    0.146253711996 0.342616334737 6.8374332956 0.578751888225 529 8 109 [12]
186    0.145975021260 0.341851877624 6.8504870996 0.578560241502 533 7 111 [12]
187    0.145706718763 0.341116386991 6.8631014993 0.578469334358 547 4 111 [12]
188    0.145446563181 0.340403670302 6.8753773079 0.578453216058 533 8 110 [12]
189    0.145236892284 0.339829576108 6.8853029301 0.579018775624 540 8 112 [12]
190    0.144943777745 0.339027479066 6.8992268282 0.578565229663 540 9 112 [31]
191    0.144708127186 0.338383028731 6.9104619032 0.578778161591 550 7 111 [12]
192    0.144501866356 0.337819243954 6.9203258423 0.579324102995 557 5 113 [12]
193    0.144239474857 0.337102426717 6.9329148695 0.579174865732 541 12 114 [12]
194    0.144079996110 0.336666967602 6.9405887493 0.580246853629 553 9 115 [12]
195    0.143779357073 0.335846509333 6.9551013467 0.579594456723 559 7 114 [12]
196    0.143581241383 0.335306157036 6.9646981066 0.580161870919 566 6 114 [12]
197    0.143365920981 0.334719163041 6.9751583442 0.580502391207 577 3 113 [31]
198    0.143077876509 0.333934374168 6.9892007374 0.579939444309 583 3 114 [12]
199    0.142818773836 0.333228889005 7.0018805872 0.579707577028 567 9 114 [12]
200    0.142590526606 0.332607770338 7.0130886238 0.579831779362 577 7 115 [31]
201    0.142337520766 0.331919663534 7.0255544330 0.579634528811 581 6 116 [12]
202    0.142130524291 0.331356991512 7.0357863308 0.579980568910 572 10 115 [12]
203    0.141877819502 0.330670440005 7.0483180776 0.579748393212 591 4 116 [12]
204    0.141725022305 0.330255514813 7.0559170409 0.580723992857 592 5 117 [31]
205    0.141577595922 0.329855314236 7.0632644486 0.581751432589 588 7 118 [12]
206    0.141227727533 0.328906118796 7.0807625207 0.580266012167 585 7 119 [31]
207    0.141029278877 0.328368069852 7.0907261808 0.580628302042 607 2 120 [31]
208    0.140760632838 0.327640092429 7.1042590520 0.580105478597 607 3 120 [12]
209    0.140531391487 0.327019253746 7.1158478502 0.580051194668 614 2 122 [12]
210    0.140352451422 0.326534872703 7.1249200842 0.580603035734 601 6 120 [12]
211    0.140190942902 0.326097851017 7.1331284268 0.581356222883 609 7 122 [31]
212    0.140021682155 0.325640028940 7.1417510817 0.581998322937 609 7 123 [12]
213    0.139718677120 0.324820900800 7.1572392512 0.580955675067 595 11 122 [12]
214    0.139532047382 0.324316662713 7.1668123471 0.581347318583 610 9 123 [12]
215    0.139337308316 0.323790747902 7.1768287481 0.581621845330 626 4 125 [31]
216    0.139127520346 0.323224458055 7.1876505634 0.581691724895 626 6 125 [12]
217    0.138933202398 0.322700173284 7.1977035204 0.581939548387 636 4 124 [12]
218    0.138718522869 0.322121226456 7.2088426212 0.581915413112 611 12 124 [12]
219    0.138512451252 0.321565764829 7.2195675621 0.581983349854 630 8 124 [31]
220    0.138324030026 0.321058111973 7.2294018603 0.582258156829 643 3 124 [12]
221    0.138104007036 0.320465597156 7.2409195176 0.582118112707 636 8 126 [31]
222    0.137936627867 0.320015053012 7.2497060097 0.582628585015 657 1 126 [31]
223    0.137777983226 0.319588181572 7.2580536932 0.583236013747 648 6 127 [12]
224    0.137558558769 0.318998026284 7.2696312679 0.583056806056 636 9 127 [12]
225    0.137387725432 0.318538767608 7.2786706153 0.583480462553 658 5 124 [31]
226    0.137237816865 0.318135911720 7.2866213034 0.584157344828 663 3 125 [12]
227    0.136988988985 0.317467534567 7.2998567798 0.583556402946 648 8 127 [31]
228    0.136831660309 0.317045132489 7.3082501356 0.584109994151 652 10 128 [12]
229    0.136603473234 0.316432760612 7.3204580845 0.583741685110 672 3 128 [31]
230    0.136418172117 0.315935717294 7.3304016942 0.583908119343 666 5 129 [12]
231    0.136248071603 0.315479635122 7.3395534207 0.584255853840 671 4 131 [12]
232    0.136071935041 0.315007558059 7.3490540110 0.584512317214 672 5 121 [31]
233    0.135911031843 0.314576477311 7.3577544548 0.584951757332 672 7 121 [31]
234    0.135687875853 0.313978878838 7.3698552189 0.584573318056 673 4 124 [31]
235    0.135569375442 0.313661667207 7.3762971670 0.585534714546 665 11 122 [31]
236    0.135369381634 0.313126504563 7.3871948585 0.585427795131 669 11 123 [31]
237    0.135200908905 0.312675881132 7.3963999806 0.585716123866 672 12 124 [31]
238    0.135030695442 0.312220779930 7.4057235410 0.585968769872 685 8 125 [31]
239    0.134878141559 0.311813047476 7.4140997825 0.586438698075 690 8 125 [12]
240    0.134644469895 0.311188789373 7.4269667427 0.585837009420 689 9 129 [31]
241    0.134494552748 0.310788460489 7.4352453655 0.586315165539 705 4 130 [12]
242    0.134304731964 0.310281774485 7.4457540354 0.586258711747 702 5 131 [31]
243    0.134152594192 0.309875835608 7.4541980051 0.586682993853 704 7 130 [12]
244    0.133978849608 0.309412419195 7.4638646542 0.586811423527 708 2 129 [12]
245    0.133770444728 0.308856801097 7.4754928268 0.586471074602 713 5 132 [12]
246    0.133630975225 0.308485117551 7.4832949345 0.587024896541 701 10 130 [12]
247    0.133471653540 0.308060674728 7.4922275515 0.587305510620 716 6 135 [12]
248    0.133341777976 0.307714793645 7.4995250190 0.587963553395 725 5 135 [12]
249    0.133168614235 0.307253789887 7.5092769099 0.588037453864 733 4 134 [12]
250    0.133019155360 0.306856042282 7.5177142517 0.588413415977 730 6 137 [12]
251    0.132866241881 0.306449243009 7.5263662601 0.588732044528 733 6 137 [12]
252    0.132730890628 0.306089284614 7.5340412113 0.589273032341 702 16 137 [12]
253    0.132583357799 0.305697058018 7.5424247553 0.589640848384 732 7 138 [12]
254    0.132480403840 0.305423426575 7.5482861692 0.590593477788 716 12 138 [12]
255    0.132216805802 0.304723130585 7.5633350385 0.589386471730 733 8 139 [12]
256    0.132062916388 0.304314492103 7.5721483922 0.589634133314 729 11 140 [12]
257    0.131915363620 0.303922816028 7.5806181521 0.589955507861 721 14 141 [12]
258    0.131688013226 0.303319579211 7.5937055735 0.589194172218 757 5 142 [12]
259    0.131484220664 0.302779117645 7.6054753563 0.588736109674 751 8 143 [12]
260    0.131327743637 0.302364309842 7.6145372814 0.588901683581 752 6 143 [12]
261    0.131148602648 0.301889605167 7.6249382747 0.588750800092 768 4 144 [12]
262    0.130974054751 0.301427259951 7.6350999585 0.588649947625 756 9 146 [12]
263    0.130837875697 0.301066675684 7.6430467452 0.589055480836 780 2 146 [12]
264    0.130581194053 0.300387323484 7.6580705764 0.587821996483 739 14 136 [31]
265    0.130517998362 0.300220126732 7.6617785482 0.589192334931 748 13 137 [31]
266    0.130320175263 0.299696903518 7.6734089559 0.588730590976 754 12 137 [31]
267    0.130173425439 0.299308917999 7.6820595035 0.588949776075 759 11 137 [31]
268    0.129972718121 0.298778488510 7.6939223435 0.588425382530 767 8 137 [31]
269    0.129844321441 0.298439289981 7.7015304859 0.588872350674 751 14 137 [31]
270    0.129730440741 0.298138523542 7.7082910864 0.589507649340 771 7 137 [31]
271    0.129662548876 0.297959254100 7.7123271806 0.590762547645 772 12 137 [31]
272    0.129528009572 0.297604083753 7.7203378891 0.591098666570 783 9 138 [31]
273    0.129399221215 0.297264198168 7.7280217811 0.591503930325 781 6 139 [31]
274    0.129237507839 0.296837562486 7.7376917640 0.591447617720 787 6 140 [31]
275    0.129105916045 0.296490511127 7.7455784416 0.591794772069 798 8 140 [31]
276    0.128970359111 0.296133112024 7.7537195903 0.592077843495 780 15 139 [12]
277    0.128848698648 0.295812446008 7.7610407439 0.592543009431 805 7 142 [31]
278    0.128690274591 0.295395014743 7.7705949667 0.592491301247 805 9 142 [12]
279    0.128543813095 0.295009238621 7.7794487025 0.592594667335 817 4 143 [31]
280    0.128451599199 0.294766415911 7.7850334775 0.593439674682 810 7 143 [12]
281    0.128312137162 0.294399274402 7.7934950046 0.593621382180 818 7 142 [12]
282    0.128163620915 0.294008426327 7.8025261214 0.593667691545 822 4 144 [12]
283    0.128050786113 0.293711569603 7.8094014911 0.594200731965 824 7 142 [12]
284    0.127946483716 0.293437229084 7.8157677410 0.594844437487 819 8 142 [12]
285    0.127804093207 0.293062813552 7.8244755305 0.594948193057 826 7 142 [12]
286    0.127659244376 0.292682059282 7.8333535882 0.595008050184 845 3 145 [12]
287    0.127504459862 0.292275327486 7.8428629170 0.594919253350 820 10 146 [12]
288    0.127375873572 0.291937547253 7.8507803084 0.595187791389 838 6 144 [12]
289    0.127217941673 0.291522815940 7.8605264859 0.595035582147 817 13 147 [12]
290    0.127067217822 0.291127153011 7.8698504393 0.594974785253 837 10 146 [12]
291    0.126913673418 0.290724226354 7.8793716474 0.594864747516 842 7 147 [12]
292    0.126779486391 0.290372212779 7.8877113993 0.595017604967 852 5 148 [12]
293    0.126641079987 0.290009243818 7.8963319019 0.595102037056 854 4 149 [12]
294    0.126493491338 0.289622321262 7.9055450950 0.595047821325 865 4 149 [12]
295    0.126382091937 0.289330360035 7.9125134319 0.595495707328 850 10 150 [12]
296    0.126234319672 0.288943185831 7.9217759687 0.595420855591 830 16 149 [12]
297    0.126108693282 0.288614138424 7.9296674478 0.595650521280 871 3 151 [12]
298    0.125957014467 0.288216979145 7.9392164401 0.595502156253 859 9 151 [12]
299    0.125824137614 0.287869164612 7.9476006668 0.595611501733 870 6 153 [12]
300    0.125645463554 0.287401639304 7.9589025478 0.595061282010 883 3 154 [12]
301    0.125489887710 0.286994709259 7.9687695817 0.594829758670 881 4 157 [12]
302    0.125373595136 0.286690624566 7.9761611599 0.595148278572 872 7 157 [12]
303    0.125201399445 0.286240511510 7.9871311697 0.594661987802 875 9 157 [12]
304    0.125085316745 0.285937175678 7.9945434526 0.594966593599 879 6 157 [31]
305    0.124927419698 0.285524703916 8.0046478381 0.594666055890 881 7 157 [12]
306    0.124805606744 0.285206595713 8.0124605464 0.594872255740 879 11 157 [12]
307    0.124649452632 0.284798936853 8.0224981248 0.594578913017 884 9 157 [12]
308    0.124499156334 0.284406707852 8.0321829436 0.594360503407 907 2 158 [12]
309    0.124380115475 0.284096141884 8.0398703296 0.594581437245 898 4 158 [31]
310    0.124281320977 0.283838460808 8.0462614344 0.595085373450 918 3 158 [31]
311    0.124130493195 0.283445175865 8.0560382406 0.594834065074 897 8 159 [12]
312    0.124015925769 0.283146530666 8.0634805071 0.595095920082 903 7 160 [12]
313    0.123828535030 0.282658223831 8.0756830383 0.594301111455 912 5 168 [31]
314    0.123746103538 0.282443488212 8.0810625257 0.595009975598 910 6 169 [31]
315    0.123711297681 0.282352830418 8.0833361119 0.596401382185 921 6 170 [12]
316    0.123588535871 0.282033133818 8.0913653759 0.596515378382 916 7 170 [12]
317    0.123478667862 0.281747091222 8.0985648559 0.596808594505 891 18 170 [12]
318    0.123337706583 0.281380201952 8.1078206147 0.596643241999 931 5 170 [12]
319    0.123166324303 0.280934292823 8.1191024061 0.596027949398 922 10 170 [12]
320    0.122988212784 0.280471059971 8.1308604895 0.595306260763 947 2 170 [31]
321    0.122857028382 0.280129995581 8.1395424680 0.595257741301 938 6 170 [31]
322    0.122733027190 0.279807700492 8.1477661140 0.595305931995 946 4 170 [12]
323    0.122567710303 0.279378162262 8.1587556587 0.594744920508 947 6 170 [12]
324    0.122437988244 0.279041222396 8.1673997943 0.594694012181 947 3 170 [12]
325    0.122349756395 0.278812106044 8.1732896694 0.595240794828 943 7 172 [12]
326    0.122223498947 0.278484326705 8.1817327160 0.595225785726 956 5 172 [12]
327    0.122129626255 0.278240683153 8.1880214544 0.595677007121 957 7 174 [12]
328    0.122036558605 0.277999180492 8.1942658121 0.596133736526 971 2 175 [12]
329    0.121948907393 0.277771779842 8.2001554698 0.596663729938 970 4 175 [31]
330    0.121781697486 0.277338099508 8.2114145282 0.596018869985 960 8 175 [31]
331    0.121647969536 0.276991377754 8.2204413589 0.595857742550 971 4 175 [12]
332    0.121479095089 0.276553681102 8.2318690246 0.595172324274 976 4 175 [31]
333    0.121355295231 0.276232917748 8.2402667152 0.595141762658 959 7 176 [12]
334    0.121216978665 0.275874648742 8.2496694028 0.594890223665 970 8 177 [31]
335    0.121137881518 0.275669821172 8.2550560359 0.595504064674 986 4 176 [12]
336    0.121001809184 0.275317538644 8.2643392421 0.595271196569 958 6 177 [31]
337    0.120914842080 0.275092443527 8.2702833068 0.595756432047 986 6 177 [12]
338    0.120703267160 0.274545014561 8.2847798865 0.594393124399 962 14 169 [31]
339    0.120585073857 0.274239315872 8.2929003401 0.594402133196 974 10 169 [31]
340    0.120487506336 0.273987026232 8.2996157063 0.594709622341 950 19 170 [31]
341    0.120383163985 0.273717280198 8.3068094150 0.594910507448 964 14 171 [31]
342    0.120285441497 0.273464705873 8.3135580462 0.595203266233 1002 7 171 [12]
343    0.120193022437 0.273225890456 8.3199505239 0.595568732308 993 10 172 [31]
344    0.120075889218 0.272923284513 8.3280665795 0.595560487861 1002 7 172 [31]
345    0.119943330848 0.272580925871 8.3372705504 0.595315801753 994 11 172 [31]
346    0.119808091145 0.272231748418 8.3466816843 0.595024084945 992 13 172 [31]
347    0.119652968571 0.271831367175 8.3575026340 0.594428889783 980 15 171 [31]
348    0.119564574031 0.271603278342 8.3636813672 0.594821703981 989 16 171 [31]
349    0.119450441021 0.271308842990 8.3716727327 0.594824296431 1017 7 171 [31]
350    0.119337513847 0.271017593512 8.3795947122 0.594838407475 997 13 173 [31]
351    0.119279658177 0.270868407400 8.3836591694 0.595670748909 1010 9 174 [31]
352    0.119157854555 0.270554389730 8.3922289784 0.595539660226 1008 14 172 [31]
353    0.119070033249 0.270328034562 8.3984187516 0.595911998765 1020 9 173 [31]
354    0.118974323096 0.270081397659 8.4051749485 0.596160214816 1017 14 174 [31]
355    0.118854571874 0.269772884430 8.4136435329 0.596040855078 1002 20 175 [31]
356    0.118779157079 0.269578637484 8.4189854903 0.596582781789 1015 13 175 [31]
357    0.118618627955 0.269165271057 8.4303790833 0.595836227172 1021 13 176 [31]
358    0.118522632340 0.268918151930 8.4372071415 0.596055763780 1012 15 177 [31]
359    0.118404239932 0.268613451413 8.4456435055 0.595931320668 1026 14 178 [31]
360    0.118283271789 0.268302206377 8.4542808537 0.595761572842 1023 17 179 [31]
361    0.118153869399 0.267969354968 8.4635400016 0.595457882084 1034 14 180 [31]
362    0.118074544675 0.267765362622 8.4692259686 0.595905520881 1036 15 180 [31]
363    0.117970095784 0.267496816650 8.4767244898 0.595967286219 1042 12 180 [31]
364    0.117876294872 0.267255701635 8.4834699045 0.596184681721 1062 9 180 [31]
364    0.117876598876 0.267256482995 8.4834480256 0.596189294437 1062 9 180 [31]
365    0.117794424192 0.267045295161 8.4893661721 0.596577768308 1047 13 181 [12]
366    0.117482807738 0.266244802408 8.5118837322 0.593477197363 1044 15 181 [31]
367    0.117363435264 0.265938303381 8.5205413232 0.593286550363 1053 13 180 [31]
368    0.117253329149 0.265655670014 8.5285424922 0.593230355705 1062 8 181 [31]
369    0.117182463768 0.265473801683 8.5337000763 0.593764516716 1058 13 183 [12]
370    0.117074145843 0.265195871867 8.5415955230 0.593724154644 1080 7 182 [31]
371    0.116993800490 0.264989760105 8.5474614536 0.594103973155 1077 9 183 [31]
372    0.116856932443 0.264638735751 8.5574726214 0.593617075302 1074 10 183 [31]
373    0.116764661817 0.264402151429 8.5642349701 0.593803987017 1086 7 183 [31]
374    0.116679996503 0.264185110812 8.5704493484 0.594101740229 1082 10 184 [31]
375    0.116575334683 0.263916866394 8.5781439335 0.594088684650 1089 10 184 [31]
376    0.116499137870 0.263721616726 8.5837545091 0.594505640321 1087 10 184 [31]
377    0.116410728185 0.263495114524 8.5902735563 0.594730714389 1096 9 184 [31]
378    0.116306252511 0.263227510303 8.5979900342 0.594704175361 1097 11 184 [31]
379    0.116206397460 0.262971800489 8.6053782051 0.594742978082 1110 6 185 [31]
380    0.116135496294 0.262790271148 8.6106318216 0.595221400238 1102 11 186 [31]
381    0.116004422551 0.262454757716 8.6203610001 0.594769398344 1094 11 186 [31]
382    0.115932019953 0.262269469249 8.6257446424 0.595214594741 1088 17 187 [31]
383    0.115874189434 0.262121494587 8.6300495812 0.595880126786 1098 14 187 [31]
384    0.115771402807 0.261858535621 8.6377116952 0.595847486172 1096 18 187 [31]
385    0.115617662736 0.261465336572 8.6491975044 0.595022360502 1108 13 188 [31]
386    0.115509941247 0.261189914129 8.6572635152 0.594901951445 1131 7 189 [31]
387    0.115415493107 0.260948484192 8.6643480271 0.594981276706 1126 10 189 [31]
388    0.115345328401 0.260769161356 8.6696185607 0.595431429889 1131 9 189 [31]
389    0.115206945755 0.260415574472 8.6800322103 0.594820038814 1136 8 190 [31]
390    0.115104494883 0.260153869508 8.6877580325 0.594759595072 1134 9 190 [31]
391    0.114990173569 0.259861913698 8.6963952568 0.594509701337 1133 9 191 [31]
392    0.114873438447 0.259563871285 8.7052325892 0.594216804249 1120 15 193 [31]
393    0.114815201158 0.259415212073 8.7096481121 0.594827068461 1154 5 192 [31]
394    0.114737039326 0.259215723288 8.7155813491 0.595123554052 1141 7 193 [31]
395    0.114623727242 0.258926584705 8.7241971978 0.594868092371 1153 5 193 [31]
396    0.114521761089 0.258666460803 8.7319649165 0.594783948374 1141 12 193 [31]
397    0.114434025660 0.258442688576 8.7386596271 0.594916528926 1161 8 193 [31]
398    0.114364787737 0.258266126173 8.7439501248 0.595333137311 1165 7 193 [31]
399    0.114261345229 0.258002390690 8.7518661538 0.595210925171 1151 13 193 [31]
400    0.114177309310 0.257788179306 8.7583076361 0.595387077188 1175 4 195 [31]
401    0.114086431800 0.257556574130 8.7652842167 0.595451459789 1153 11 195 [31]
402    0.114010355552 0.257362727131 8.7711330708 0.595743007137 1169 9 194 [31]
403    0.113890079695 0.257056324696 8.7803959983 0.595336810885 1146 18 195 [31]
404    0.113793674438 0.256810792600 8.7878346924 0.595299789001 1167 11 195 [31]
405    0.113685168503 0.256534505490 8.7962221736 0.595067802906 1159 15 195 [31]
406    0.113611646865 0.256347336838 8.8019144832 0.595380490142 1178 9 195 [31]
407    0.113510057619 0.256088765800 8.8097920217 0.595247310220 1185 7 195 [31]
408    0.113411074713 0.255836885570 8.8174810311 0.595150168562 1185 9 196 [31]
409    0.113265325018 0.255466100995 8.8288273560 0.594311637732 1193 6 196 [31]
410    0.113175734012 0.255238243591 8.8358163411 0.594352120129 1191 10 197 [31]
411    0.113103618271 0.255054864585 8.8414501259 0.594663547803 1180 15 197 [31]
412    0.113004729788 0.254803455176 8.8491871259 0.594548214922 1178 16 197 [31]
413    0.112981895691 0.254745410815 8.8509755823 0.595630082400 1196 11 198 [31]
414    0.112880707007 0.254488224749 8.8589097864 0.595469475270 1205 10 199 [31]
415    0.112781697441 0.254236634018 8.8666869066 0.595338510974 1185 12 198 [31]
416    0.112727182681 0.254098131896 8.8709748280 0.595908101653 1208 9 198 [31]
417    0.112651857705 0.253906786604 8.8769064299 0.596143933394 1207 12 198 [31]
418    0.112587494947 0.253743313975 8.8819810803 0.596549863354 1201 15 198 [31]
419    0.112490747890 0.253497634245 8.8896199799 0.596436805530 1219 9 199 [31]
420    0.112390411863 0.253242897250 8.8975561475 0.596261925988 1212 11 199 [31]
421    0.112295906029 0.253003014838 8.9050441406 0.596175145375 1215 12 199 [31]
422    0.112197345902 0.252752895892 8.9128668059 0.596019133246 1228 11 200 [31]
423    0.112083102526 0.252463046588 8.9219514580 0.595608379722 1244 6 201 [31]
424    0.111977673828 0.252195627356 8.9303516122 0.595333307318 1237 6 202 [31]
425    0.111898684934 0.251995314130 8.9366555164 0.595475472731 1248 7 204 [31]
426    0.111842836312 0.251853705367 8.9411180276 0.595983334316 1252 4 204 [31]
427    0.111734835400 0.251579910713 8.9497603538 0.595653441982 1246 8 204 [31]
428    0.111661469182 0.251393956939 8.9556407177 0.595873102971 1233 13 205 [31]
429    0.111600281716 0.251238894879 8.9605508572 0.596284012031 1251 10 205 [31]
430    0.111504968886 0.250997394428 8.9682102062 0.596143918816 1246 12 206 [31]
431    0.111444698649 0.250844710463 8.9730602902 0.596561899307 1260 7 206 [31]
432    0.111366048770 0.250645496080 8.9793973212 0.596680961313 1260 7 206 [31]
433    0.111270438881 0.250403370720 8.9871129300 0.596523145758 1228 19 206 [31]
434    0.111187744784 0.250193995710 8.9937969507 0.596568741939 1248 15 206 [31]
435    0.111108845526 0.249994265253 9.0001835161 0.596671318582 1232 20 206 [31]
436    0.111016704575 0.249761058832 9.0076534323 0.596556365236 1279 6 203 [31]
437    0.110937676492 0.249561079259 9.0140701665 0.596648611030 1286 6 204 [31]
438    0.110848742456 0.249336075309 9.0213021622 0.596576884979 1272 9 203 [31]
439    0.110765342551 0.249125113655 9.0280946817 0.596590323589 1238 23 204 [31]
440    0.110705981729 0.248974983423 9.0329355685 0.596988464156 1282 11 204 [31]
441    0.110623996637 0.248767666810 9.0396300116 0.597016897785 1268 12 205 [31]
442    0.110549720792 0.248579877653 9.0457035335 0.597166201511 1282 11 205 [31]
443    0.110446654560 0.248319350664 9.0541447723 0.596844811742 1291 7 206 [31]
444    0.110392887968 0.248183465432 9.0585545718 0.597318897858 1291 10 206 [31]
445    0.110321411303 0.248002846656 9.0644235619 0.597502102631 1301 7 207 [31]
446    0.110211526379 0.247725228290 9.0734611239 0.597057159325 1310 6 208 [31]
447    0.110161398438 0.247598605510 9.0775899197 0.597579711629 1300 11 208 [31]
448    0.110053875841 0.247327052398 9.0864587218 0.597164579660 1306 8 209 [31]
449    0.109981103306 0.247143299350 9.0924710694 0.597311061367 1314 7 210 [31]
450    0.109900761061 0.246940467428 9.0991180620 0.597330393969 1305 9 211 [31]
451    0.109820239412 0.246737219323 9.1057896554 0.597342892147 1307 9 211 [31]
452    0.109761802195 0.246589738488 9.1106375807 0.597712202648 1326 6 211 [31]
453    0.109697419645 0.246427275548 9.1159847081 0.597981072889 1295 13 212 [31]
454    0.109638408689 0.246278387923 9.1208912275 0.598334470112 1299 18 212 [31]
455    0.109550521407 0.246056680454 9.1282084937 0.598211480463 1313 15 212 [31]
456    0.109465855075 0.245843139646 9.1352687038 0.598137269963 1306 15 212 [31]
457    0.109380035794 0.245626732367 9.1424362110 0.598040207566 1329 10 214 [31]
458    0.109275478310 0.245363130012 9.1511839203 0.597631701085 1301 19 201 [31]
459    0.109237516999 0.245267440162 9.1543640635 0.598312595192 1264 30 202 [31]
460    0.109207887178 0.245192757337 9.1568477867 0.599128317286 1298 21 203 [31]
461    0.109189683761 0.245146877558 9.1583743588 0.600130570126 1310 17 203 [31]
462    0.109142505526 0.245027978556 9.1623331825 0.600653115226 1301 23 204 [31]
463    0.109115138491 0.244959013686 9.1646311761 0.601500531829 1310 23 204 [31]
464    0.109073240886 0.244853440017 9.1681515271 0.602105553643 1304 26 205 [31]
465    0.109044509415 0.244781048138 9.1705671873 0.602926485097 1301 26 205 [31]
466    0.109000034616 0.244668998542 9.1743090131 0.603484088955 1288 33 206 [31]
467    0.108864988571 0.244328832725 9.1856896613 0.602534022274 1339 16 206 [31]
468    0.108803052611 0.244172857481 9.1909186002 0.602794240001 1322 23 209 [31]
469    0.108767267507 0.244082748628 9.1939424693 0.603486413594 1270 43 210 [31]
470    0.108726108555 0.243979117079 9.1974228940 0.604086862629 1324 21 210 [31]
471    0.108699029729 0.243910942218 9.1997141326 0.604919952838 1341 19 211 [31]
472    0.108644378486 0.243773362424 9.2043418531 0.605290389024 1363 14 212 [31]
473    0.108594879289 0.243648767021 9.2085373320 0.605744084205 1314 30 213 [31]
474    0.108528020268 0.243480496831 9.2142102798 0.605904229593 1329 25 214 [31]
475    0.108480119790 0.243359956852 9.2182789062 0.606378895887 1350 18 215 [31]
476    0.108413978289 0.243193535225 9.2239028194 0.606544678233 1361 16 216 [31]
477    0.108356031972 0.243047754165 9.2288355507 0.606844830995 1336 24 217 [31]
478    0.108304218884 0.242917419097 9.2332506555 0.607245101323 1310 27 218 [31]
479    0.108221539877 0.242709472623 9.2403046671 0.607122937306 1369 17 218 [31]
480    0.108157354717 0.242548066722 9.2457882556 0.607308567624 1388 14 218 [31]
481    0.108082518969 0.242359907206 9.2521899891 0.607311422784 1375 16 218 [31]
482    0.108036607021 0.242244486425 9.2561218607 0.607798812588 1395 9 216 [31]
483    0.107988338447 0.242123153994 9.2602591574 0.608243823790 1364 23 217 [31]
484    0.107959979094 0.242051873378 9.2626916788 0.609023059955 1367 24 218 [31]
485    0.107843677404 0.241759599014 9.2726808291 0.608311188605 1409 11 218 [31]
486    0.107732492817 0.241480255528 9.2822506363 0.607682033718 1387 17 219 [31]
487    0.107621218500 0.241200756296 9.2918479640 0.607047501303 1396 15 220 [31]
488    0.107519113994 0.240944351146 9.3006718792 0.606564309746 1421 7 219 [31]
489    0.107443989148 0.240755734859 9.3071749098 0.606534113508 1418 13 220 [31]
490    0.107366755128 0.240561856160 9.3138700038 0.606464750958 1387 24 221 [31]
491    0.107283376938 0.240352591553 9.3211085309 0.606287756243 1391 22 223 [31]
492    0.107182741658 0.240100066742 9.3298602418 0.605814533907 1420 12 222 [31]
493    0.107108150081 0.239912930308 9.3363576837 0.605779363624 1409 17 224 [31]
494    0.107028884570 0.239714102104 9.3432721832 0.605661470887 1436 9 224 [31]
495    0.106936005370 0.239481170471 9.3513872764 0.605308913930 1416 16 224 [31]
496    0.106860370420 0.239291521463 9.3580061164 0.605245685636 1442 13 225 [31]
497    0.106793118213 0.239122918532 9.3638992543 0.605321627728 1452 11 226 [31]
498    0.106721925963 0.238944465480 9.3701457407 0.605327361882 1429 15 227 [31]
499    0.106672570989 0.238820767223 9.3744810941 0.605701756320 1454 12 226 [31]
500    0.106603510305 0.238647703532 9.3805541407 0.605737584305 1435 17 225 [31]
501    0.106538923505 0.238485875453 9.3862408883 0.605846549301 1427 19 226 [31]
502    0.106473268951 0.238321395994 9.3920287209 0.605934221843 1434 18 227 [31]
503    0.106380508645 0.238089051713 9.4002182612 0.605555806198 1448 16 224 [31]
504    0.106312075409 0.237917672342 9.4062691952 0.605589485081 1447 16 225 [31]
505    0.106240315145 0.237737989183 9.4126226813 0.605563135472 1431 23 225 [31]
506    0.106170516542 0.237563245579 9.4188107261 0.605567149487 1458 15 226 [31]
507    0.106111354249 0.237415151772 9.4240621758 0.605750151082 1437 24 228 [31]
508    0.106040807869 0.237238587180 9.4303317760 0.605735177289 1452 19 229 [31]
509    0.105969485140 0.237060107858 9.4366788578 0.605703739907 1464 15 230 [31]
510    0.105885890028 0.236850954139 9.4441289556 0.605458597344 1459 18 231 [31]
511    0.105835139731 0.236723996734 9.4486576249 0.605773907045 1460 20 231 [31]
512    0.105743976594 0.236495978392 9.4568034247 0.605392276746 1460 18 230 [31]
513    0.105678319338 0.236331784464 9.4626788755 0.605445504148 1478 16 231 [31]
514    0.105636390866 0.236226943465 9.4664347371 0.605903949683 1454 27 231 [31]
515    0.105552865374 0.236018119546 9.4739256624 0.605643849196 1492 13 231 [31]
516    0.105504507822 0.235897237592 9.4782679968 0.605986220906 1473 19 232 [31]
517    0.105448533289 0.235757331383 9.4832992818 0.606194753479 1482 17 233 [31]
518    0.105377068467 0.235578733236 9.4897306838 0.606133234869 1473 20 231 [31]
519    0.105321895555 0.235440869809 9.4947018826 0.606349967050 1502 9 231 [31]
520    0.105250391825 0.235262225014 9.5011522775 0.606281766777 1469 22 231 [31]
521    0.105183453841 0.235095013145 9.5071987417 0.606289441905 1504 12 232 [31]
522    0.105122571253 0.234942949450 9.5127049128 0.606398932379 1512 12 233 [31]
523    0.105040926092 0.234739060488 9.5200988529 0.606146099722 1498 17 233 [31]
524    0.104964960604 0.234549388535 9.5269887613 0.605988424348 1489 22 234 [31]
525    0.104913657994 0.234421313499 9.5316474434 0.606255082553 1511 17 232 [31]
526    0.104841520857 0.234241250683 9.5382057779 0.606157776352 1524 14 233 [31]
527    0.104769762535 0.234062162225 9.5447386326 0.606064008486 1509 19 234 [31]
528    0.104675176153 0.233826145249 9.5533634311 0.605570936681 1531 12 236 [31]
529    0.104609384536 0.233662007909 9.5593717948 0.605574546890 1528 17 234 [31]
530    0.104562889847 0.233546027212 9.5636224426 0.605910672381 1553 7 234 [31]
531    0.104515802466 0.233428580323 9.5679311301 0.606234152986 1525 19 234 [31]
532    0.104454234966 0.233275035279 9.5735706678 0.606303101846 1541 16 233 [31]
533    0.104392108184 0.233120116823 9.5792681784 0.606359538295 1549 12 235 [31]
534    0.104350486088 0.233016340582 9.5830890443 0.606770818960 1544 15 234 [31]
535    0.104275022672 0.232828212479 9.5900242875 0.606589182114 1555 12 235 [31]
536    0.104222591898 0.232697522745 9.5948486963 0.606806742563 1536 16 235 [31]
537    0.104162274809 0.232547194386 9.6004047707 0.606883951992 1563 11 236 [31]
538    0.104117442283 0.232435471338 9.6045386640 0.607229340810 1557 13 237 [31]
539    0.104072101923 0.232322494135 9.6087230057 0.607563595018 1542 18 237 [31]
540    0.104014357982 0.232178626764 9.6140573225 0.607678174146 1564 13 238 [31]
541    0.103954713358 0.232030043364 9.6195734440 0.607756791743 1563 14 238 [31]
542    0.103877543485 0.231837831382 9.6267197553 0.607525202631 1576 13 241 [31]
543    0.103813168022 0.231677512584 9.6326893693 0.607515220174 1578 13 241 [31]
544    0.103762393040 0.231551080281 9.6374030196 0.607741421421 1564 16 240 [31]
545    0.103675596304 0.231334985138 9.6454714094 0.607331949155 1571 17 240 [31]
546    0.103630212824 0.231222011957 9.6496955159 0.607647636321 1582 11 242 [31]
547    0.103547847680 0.231017009467 9.6573711806 0.607310171425 1577 15 243 [31]
548    0.103501884309 0.230902625444 9.6616598497 0.607610580560 1585 15 240 [31]
549    0.103447524865 0.230767362164 9.6667368437 0.607760759903 1608 8 240 [31]
550    0.103385427828 0.230612865409 9.6725430364 0.607771984666 1593 14 240 [31]
551    0.103331966431 0.230479871174 9.6775473703 0.607932948071 1590 15 240 [31]
552    0.103263118500 0.230308623701 9.6839996170 0.607819721126 1607 11 242 [31]
553    0.103180338282 0.230102756856 9.6917689615 0.607457604942 1597 14 243 [31]
554    0.103131402846 0.229981076767 9.6963676669 0.607690630818 1581 20 244 [31]
555    0.103063526303 0.229812320774 9.7027535916 0.607586304896 1611 12 245 [31]
556    0.103006580698 0.229670761193 9.7081176098 0.607672670234 1621 12 244 [31]
557    0.102945873502 0.229519870565 9.7138424881 0.607689908126 1614 14 245 [31]
558    0.102857995725 0.229301482339 9.7221416085 0.607223221229 1615 14 244 [31]
559    0.102802374597 0.229163278382 9.7274017640 0.607325123384 1626 13 244 [31]
560    0.102743084333 0.229015976447 9.7330151853 0.607359493356 1631 10 245 [31]
561    0.102680202122 0.228859771878 9.7389757649 0.607327583012 1621 19 246 [31]
562    0.102631457251 0.228738700682 9.7436012972 0.607544091884 1651 7 246 [31]
563    0.102584263859 0.228621495539 9.7480837936 0.607785918361 1628 12 247 [31]
564    0.102522611653 0.228468400395 9.7539458260 0.607768358926 1641 11 246 [31]
565    0.102441449478 0.228266890040 9.7616736691 0.607401125431 1638 16 248 [31]
566    0.102398929857 0.228161336395 9.7657270579 0.607718818878 1630 17 248 [31]
567    0.102341613035 0.228019064983 9.7711963916 0.607770801764 1653 11 248 [31]
568    0.102290481900 0.227892162972 9.7760806424 0.607930607759 1652 13 250 [31]
569    0.102212159840 0.227697804019 9.7835717547 0.607603074449 1636 20 249 [31]
570    0.102148263938 0.227539269203 9.7896915860 0.607530135994 1653 12 250 [31]
571    0.102098690757 0.227416286636 9.7944448904 0.607710342160 1654 14 253 [31]
572    0.102003984874 0.227181375321 9.8035385699 0.607082121795 1659 14 253 [31]
573    0.101941888475 0.227027376439 9.8095102510 0.607033481818 1652 19 253 [31]
574    0.101876059122 0.226864143098 9.8158488719 0.606915602925 1658 17 252 [31]
575    0.101800846683 0.226677672334 9.8231010113 0.606627389333 1661 16 252 [31]
576    0.101741002638 0.226529326034 9.8288789580 0.606611337602 1680 11 252 [31]
577    0.101677574268 0.226372116193 9.8350103963 0.606528682284 1675 13 253 [31]
578    0.101594039888 0.226165106643 9.8430971059 0.606083595809 1688 9 254 [31]
579    0.101532963655 0.226013775793 9.8490181317 0.606037855598 1685 13 254 [31]
580    0.101503915584 0.225941809530 9.8518366926 0.606563650638 1675 17 253 [31]
581    0.101455489208 0.225821844081 9.8565391366 0.606740213969 1686 14 253 [31]
582    0.101390180893 0.225660077905 9.8628880153 0.606611554501 1680 15 254 [31]
583    0.101324724608 0.225497968806 9.8692594909 0.606477719917 1703 9 255 [31]
584    0.101249350682 0.225311326914 9.8766065488 0.606163228462 1695 15 255 [31]
585    0.101145249908 0.225053602704 9.8867717556 0.605330199950 1674 26 257 [31]
586    0.101077025574 0.224884730838 9.8934450665 0.605138766905 1690 15 257 [31]
587    0.100991178421 0.224672274614 9.9018549505 0.604628230340 1685 15 254 [31]
588    0.100958081403 0.224590376299 9.9051010687 0.605062994144 1703 10 255 [31]
589    0.100880682694 0.224398877329 9.9127005616 0.604699114400 1682 24 255 [31]
590    0.100841615437 0.224302230105 9.9165408613 0.605022316988 1707 17 256 [31]
591    0.100793738314 0.224183799888 9.9212512278 0.605184978487 1724 12 255 [31]
592    0.100752089875 0.224080787379 9.9253524293 0.605457825542 1708 17 255 [31]
593    0.100706776032 0.223968719764 9.9298184234 0.605662621781 1712 15 256 [31]
594    0.100655851806 0.223842790346 9.9348421582 0.605764097996 1723 15 257 [31]
595    0.100617317148 0.223747508299 9.9386470276 0.606087273922 1719 15 256 [31]
596    0.100551433992 0.223584622382 9.9451590127 0.605914109113 1740 11 257 [31]
597    0.100504580752 0.223468799509 9.9497952483 0.606082717131 1709 18 258 [31]
598    0.100457950491 0.223353539829 9.9544137135 0.606253312771 1734 14 259 [31]
599    0.100395470625 0.223199122162 9.9606087185 0.606134748716 1708 23 259 [31]
600    0.100152367749 0.222598502591 9.9847864057 0.602746800479 1738 18 265 [31]
603    0.099871802157 0.221905729420 10.0128362401 0.600683872785 1732 23 236 [31]
627    0.098602073035 0.218775903705 10.1417746019 0.601070865910 1807 16 248 [31]
675    0.096275781053 0.213064514671 10.3868282247 0.602358335610 1953 20 291 [31]
683    0.095949205989 0.212265077636 10.4221810873 0.603316022440 1987 17 290 [31]
700    0.095086541322 0.210156099260 10.5167354506 0.601804168994 2040 15 289 [31]
754    0.093029439823 0.205143240381 10.7492854080 0.607061322153 2121 13 309 [31]
755    0.092988233502 0.205043058836 10.7540487903 0.607059058637 2185 17 310 [31]
767    0.092373240519 0.203548957882 10.8256459813 0.604552333312 2251 10 313 [31]
791    0.091485908502 0.201396784834 10.9306451275 0.605674234526 2305 19 322 [31]
800    0.091105594839 0.200475642323 10.9762743086 0.604957870229 2314 21 321 [31]
887    0.088299173741 0.193702081204 11.3251342865 0.610651655601 2572 24 351 [31]
900    0.087723944140 0.192318856944 11.3993962515 0.607570891046 2614 22 353 [31]
935    0.086955379489 0.190473450115 11.5001510646 0.614753450711 2553 52 329 [31]
959    0.086113522460 0.188455622392 11.6125780416 0.612396458069 2750 32 360 [31]
1000    0.084864364119 0.185468384776 11.7835090191 0.611189781043 2919 17 379 [31]
1055    0.083447520229 0.182089999363 11.9835795870 0.613045580732 3087 20 377 [31]
1061    0.083260872596 0.181645726919 12.0104434270 0.612404337722 3068 31 380 [31]
1157    0.080893782384 0.176027059405 12.3618895115 0.612461489305 3364 28 426 [31]
1205    0.079803276753 0.173448295863 12.5308137797 0.612419793834 3404 45 377 [31]
1253    0.078827079542 0.171145021290 12.6859958000 0.613730040158 3583 42 421 [31]
1289    0.078167551985 0.169591669621 12.7930320780 0.615647968543 3649 54 393 [31]
1409    0.076154441092 0.164864008616 13.1312105461 0.622295554446 4056 34 463 [31]
1433    0.075771336694 0.163966645274 13.1976027299 0.623391730215 4140 38 470 [31]
1481    0.074822911994 0.161748303031 13.3648901566 0.620381555455 4264 39 496 [31]
1505    0.074408668802 0.160780824742 13.4392943201 0.620022007168 4352 32 496 [31]
1553    0.073607102421 0.158911197643 13.5856455031 0.619342127044 4507 34 513 [31]
1601    0.072845698692 0.157138242446 13.7276464905 0.618875188136 4664 40 526 [31]
1721    0.070978933493 0.152803711459 14.0886873159 0.615416702369 4990 52 563 [31]
1745    0.070734553387 0.152237562786 14.1373621818 0.617575812766 5017 55 561 [31]
1865    0.069573892291 0.149552751615 14.3732076368 0.628084010835 5332 49 493 [31]
1961    0.068197437850 0.146377442218 14.6633074720 0.621987661744 5667 47 615 [31]
1985    0.068194753127 0.146371258062 14.6638847440 0.629525600068 5599 64 593 [31]
2000    0.067800362008 0.145463180299 14.7491837858 0.623341488610 5792 54 624 [31]
2093    0.067066559198 0.143775657008 14.9105606722 0.631374889582 5966 58 622 [31]
2123    0.066647726127 0.142813657807 15.0042628325 0.628501045803 6149 43 630 [31]
2171    0.066106943195 0.141572833663 15.1270040887 0.627192780478 6232 58 649 [31]
2243    0.065343938138 0.139824563932 15.3036383863 0.625813875897 6497 48 681 [31]
2315    0.064672251950 0.138287893382 15.4625820170 0.626188296896 6746 44 695 [31]
2347    0.064360750075 0.137575994338 15.5374199156 0.625714731748 6770 64 695 [31]
2491    0.063250369853 0.135042209396 15.8101842301 0.630322682375 7051 67 697 [31]
2587    0.062638988538 0.133649656369 15.9644978845 0.635814807150 7339 54 698 [31]
2659    0.062109131997 0.132444262154 16.1006919248 0.637066424323 7421 82 710 [31]
2731    0.061511257082 0.131085764312 16.2571868539 0.635602370147 7727 65 751 [31]
2779    0.061214170962 0.130411365550 16.3360866330 0.637447560061 7948 62 749 [31]
2899    0.060321948580 0.128388544329 16.5777138097 0.636318136328 8287 84 795 [31]
3000    0.059419702784 0.126346900865 16.8294345671 0.629379626189 8772 45 834 [31]
3043    0.059355142043 0.126200959992 16.8477399865 0.636322087330 9554 133 680 [31]
3055    0.059202488875 0.125855964062 16.8911817561 0.633915117930 8736 81 824 [31]
3103    0.058933552990 0.125248441653 16.9682625476 0.635140270350 8828 55 825 [31]
3151    0.058662130326 0.124635653607 17.0467726699 0.636094871963 8946 69 820 [31]
3319    0.057609871322 0.122263316580 17.3581363237 0.634596931727 9481 85 878 [31]
3367    0.057404156158 0.121800146973 17.4203414339 0.636902755703 9584 76 882 [31]
3463    0.056864051634 0.120585058246 17.5858028274 0.636745512566 10766 66 901 [31]
3511    0.056641776761 0.120085404178 17.6548134113 0.638030490521 9968 97 903 [31]
3559    0.056405574270 0.119554700053 17.7287442410 0.638695804753 10160 74 928 [31]
3589    0.056324917885 0.119373540644 17.7541315203 0.641320555498 10036 94 907 [31]
3781    0.055466051920 0.117446391488 18.0290459729 0.645191205422 12893 102 918 [31]
3805    0.055358103561 0.117204421633 18.0642026311 0.645503011109 10856 101 920 [31]
3925    0.054738886050 0.115817492632 18.2685485979 0.643765244814 10934 106 958 [31]
3997    0.054426950313 0.115119504159 18.3732506460 0.644430592651 10852 91 976 [31]
4000    0.054116708972 0.114425763697 18.4785811812 0.633948713105 11770 67 1022 [31]
4093    0.054033689415 0.114240198219 18.5069724245 0.645707173226 11319 130 971 [31]
4189    0.053572966969 0.113210982145 18.6661306360 0.644091336399 11614 99 990 [31]
4213    0.053462475289 0.112964301770 18.7047082013 0.643781728683 11900 80 984 [31]
4321    0.053056320422 0.112058027454 18.8478958218 0.645350496353 11928 120 1002 [31]
4417    0.052684186064 0.111228347060 18.9810277943 0.645904371518 12141 122 1023 [31]
4537    0.052223435092 0.110201997023 19.1484914433 0.646197218181 12701 112 1068 [31]
4585    0.052091737452 0.109908816096 19.1969024055 0.648105741752 12954 102 1053 [31]
4729    0.051529819168 0.108658807012 19.4062392639 0.647060917536 13019 110 1111 [31]
4753    0.051456493109 0.108495799582 19.4338933647 0.647572456045 11545 185 1096 [31]
4897    0.051085445393 0.107671328562 19.5750471060 0.652862398976 12909 155 1011 [31]
4921    0.050865749062 0.107183465377 19.6595944902 0.647634085980 13590 101 1134 [31]
5000    0.050363856639 0.106069797345 19.8555088259 0.638744158561 14617 93 1198 [31]
5017    0.050574237403 0.106536475827 19.7729130749 0.648981220175 18155 181 1142 [31]
5089    0.050442769936 0.106244823037 19.8244466208 0.653174514388 18443 175 1135 [31]
5233    0.049858809487 0.104950316826 20.0566361349 0.648599258405 14317 127 1190 [31]
5281    0.049766460614 0.104745746285 20.0938541271 0.650918225875 15662 119 1186 [31]
5425    0.049435571481 0.104013089482 20.2283491430 0.655418083246 14933 106 1113 [31]
5473    0.049133604238 0.103344916714 20.3526693290 0.649174299814 15484 146 1226 [31]
5481    0.049137823467 0.103354249816 20.3509217430 0.650290709276 15562 124 1221 [31]
5721    0.048362204502 0.101639940597 20.6773039049 0.647128035614 17862 137 1288 [31]
5775    0.048230928332 0.101350064354 20.7335839177 0.647931138638 16301 127 1295 [31]
5895    0.048058151421 0.100968670498 20.8081245414 0.654312163478 16298 171 1200 [31]
5979    0.047700111454 0.100178760972 20.9643116026 0.648913388665 16845 146 1324 [31]
6000    0.047187699337 0.099049307622 21.1919634576 0.630431146176 17494 128 1355 [31]
6051    0.047556166041 0.099861355275 21.0277674432 0.650800169036 16724 137 1345 [31]
6099    0.047420954441 0.099563295376 21.0877240196 0.650383486283 17126 132 1341 [31]
6339    0.046983761482 0.098600127853 21.2839493573 0.657452076017 16848 167 1303 [31]
6363    0.046766323549 0.098121425427 21.3829081294 0.650821082854 17994 124 1404 [31]
6459    0.046705520909 0.097987603901 21.4107450369 0.658066745676 24730 166 1276 [31]
6531    0.046382821560 0.097277655245 21.5597060801 0.651705184715 18827 162 1413 [31]
6603    0.046253017236 0.096992217164 21.6202111723 0.653373479790 22534 167 1414 [31]
7000    0.044845910117 22.2985774488 0.631344739890 20469 110 1495 [31]
8000    0.043021472466 0.089911050726 23.2442067337 0.637009338072 23348 132 1647 [31]
9000    0.041348250525 0.086263339211 24.1848200904 0.636229681916 26241 181 1794 [31]
9909    0.040692765852 0.084837817132 24.5743925010 0.667700123925 37798 267 1813 [31]
10000    0.039927779623 0.083176616874 25.0452193796 0.636539677077 29162 179 1936 [31]
10005    0.040579698283 0.084592119242 24.6428643463 0.668564841143 28329 348 1788 [31]
20000    0.031511804440 0.065074214811 31.7341395636 0.625820540730 58668 333 3513 [31]
20113    0.032360307172 0.066885034609 30.9020552458 0.681576738151 52293 384 3275 [31]
30000    0.027569300128 0.056701830026 36.2722301748 0.628634886153 88002 416 6699 [31]
30093    0.028353902321 0.058362612455 35.2685139660 0.685968229323 71212 733 4981 [31]
40000    0.025100123336 0.051492720302 39.8404416828 0.632539364395 117150 649 9016 [31]
40143    0.025842262077 0.053055600897 38.6963028631 0.692789672540 99231 1012 6827 [31]
50000    0.023292291593 0.047695521173 42.9326584723 0.631839335086 146380 719 10666 [31]
50141    0.024017994773 0.049218109851 41.6354491477 0.694709486079 114198 1207 8469 [31]
60000    0.021962913560 0.044912230558 45.5312997189 0.635654472887 175839 986 12268 [31]
60047    0.022656242323 0.046362893598 44.1379459905 0.698320767542 143629 1088 9762 [31]
70000    0.020874072304 0.042638176998 47.9063205989 0.636677629119 204695 1135 13752 [31]
70009    0.021542499588 0.044033592831 46.4198685912 0.699909928541 133282 3628 11006 [31]
80000    0.019966505753 0.040746578296 50.0838760858 0.636789934232 233889 1322 15085 [31]
80341    0.020583242024 0.042031631287 48.5832114705 0.700613618715 190100 1080 12567 [31]
90000    0.019199467294 0.039150605355 52.0847784309 0.636956899751 263186 1448 16480 [31]
90183    0.019807115279 0.040414729770 50.4869076549 0.700790758367 167090 6098 14020 [31]
100000    0.018537044699 0.037774313537 53.9460316484 0.636973685874 292221 1566 17729 [31]
100281    0.019150716641 0.039049254490 52.2173670441 0.704326043302 241716 1440 15346 [31]
110109    0.018570913333 0.037844636124 53.8476477742 0.705216732460 259230 2168 16636 [31]
120119    0.018039268987 0.036741324612 55.4346188152 0.705128894497 160346 30268 17944 [31]
130055    0.017580785179 0.035790800737 56.8802809328 0.706711006654 225072 14314 19668 [31]
180000    0.015060083171 0.030580714445 66.4006957097 0.614829385217 155200 106084 30217 [31]
500000    0.010670618461 0.021571417286 93.7152802956 0.607489504278 1320897 1909 81156 [31]
1030719    0.008879072967 0.017917234365 112.6243701022 0.721511332383 6102348 148028 [31]
1565879    0.007732295227 0.015585099041 129.3277055056 0.723908176976 9286272 224212 [31]
2005059    0.007124757201 0.014351767259 140.3556601002 0.725165882674 11901828 286814 [31]
2519011    0.006606203613 0.013300271528 151.3728698934 0.726249638858 14964828 360170 [31]
2982989    0.006246686016 0.012571904774 160.0848829985 0.727110946851 17730708 427090 [31]





Updates

Please note that the results are taken from a running search. For updates look at the list below.

14-Feb-2022: First presentation for N=1–519, 531, 555, 600, 603, 627, 675, 683, 700, 767, 791, 800, 887, 900, 935, 959, 1000, 1055, 1061, 1157, 1205, 1253, 1289, 1409, 1433, 1481, 1505, 1553, 1601, 1721, 1745, 1865, 1961, 1985, 2000, 2093, 2123, 2171, 2243, 2315, 2347, 2491, 2587, 2659, 2731, 2779, 2899, 3000, 3043, 3055, 3103, 3151, 3319, 3367, 3463, 3511, 3559, 3589, 3781, 3805, 3925, 3997, 4000, 4093, 4189, 4213, 4321, 4417, 4537, 4585, 4729, 4753, 4897, 4921, 5000, 5017, 5089, 5233, 5281, 5425, 5473, 5481, 5721, 5775, 5895, 5979, 6000, 6051, 6099, 6339, 6363, 6459, 6531, 6603, 7000, 8000, 9000, 9909, 10000, 10005, 20000, 20113, 30000, 30093, 40000, 40143, 50000, 50141, 60000, 60047, 70000, 70009, 80000, 80341, 90000, 90183, 100000, 100281, 110109, 120119, 130055, 180000, and 500000.
16-Feb-2022: First improvements for N= 94, 138, 148, 149, 156, 162, 165, 167, 190, 199, 210, 217, 219, 220, 223, 231, 232, 234, 236, 238, 239, 242, 243, 245, 250, 252, 253, 256, 258, 261, 270, 271, 272, 275, 281, 287, 293, 297, 299, 307, 312, 313, 323, 332, 355, 356, 358, 362, 363, 364, 376, 401, 407, 408, 410, 413, 419, 420, 424, 430, 431, 437, 439, 446, 449, 451, 458, 462, 482, 488, 489, 490, 501, 503, 507, 509, 510, 511, 513, 515, 516, and 518 by Eckard Specht [31].
17-Feb-2022: Further small improvements for N= 120, 161, 165, 170, 182, 183, 190, 191, 206, 213, 221, 232, 233, 237, 239, 252, 266, 275, 290, 295, 299, 316, 332, 342, 351, 355, 357, 362, 369, 391, 397, 404, 412, 414, 424, 427, 428, 430, 433, 452, 461, 471, 478, 484, 490, 503, 504, 509, 510, and 514 by Eckard Specht [31].
22-Feb-2022: Contact figures added. They are displayed at the right hand side. The colors indicate the number of contacting neighbors for each sphere. Furthermore, the size of the (equal) spheres are scaled linearly such that innermost spheres are larger than those near the container. This allows a pretty look at the spheres near the center.
25-Feb-2022: Small improvements for N= 935, 1055, 9909, 100281, 110109, 120119, 130055, and 500000. New high density packings added for N= 1030719, 1565879, 2005059, 2519011, and 2982989 by Eckard Specht [31].
26-May-2023: Many significant improvements for N= 57, 73, 76, 77, 80–82, 84, 85, 87, 88, 90, 91, 93–96, 98–101, 103–106, 108, 111, 112, 114–117, 119–134, 136, 138–141, 143–146, 148–179, 181–189, 191–268, 276, 278, 280–337, 339–343, 345–370, 372–375, 380, 384, 392, 395, 396, and 398 by Jianrong Zhou, Shuo Ren, Kun He, Yanli Liu, Chu-Min Li [12].
04-Jul-2023: Further significant improvements and expansion for N= 119, 128, 130, 131, 150, 264, 266–269, 272, 274, 277, 332, 334, 336, 359, 366–368, 370–379, 381–386, 388–422, 425–437, 439–445, 449–600 by Eckard Specht [31].
11-Jul-2023: Many more slightly improvements for N= 167, 183, 197, 200, 202–204, 206–216, 218–238, 240–248, 254, 255, 258–260, 264–267, 269, 272–277, 279, 280, 282, 285–288, 290, 292, 293, 296–305, 307–314, 319–326, 329, 330, 333, 335, 336, 338–364, 366, 367, 372, 373, 376, 377, 379–382, 386, 388, 391–396, 399–408, 410–430, 432–449, 453, 454, 456, 459, 461, 466–478, 481, 486–488, 490, 491, 494–498, 503–509, 511, 512, 519, 525, 526, 530, 532–535, 542, 558–560, 573, and 591–599 by Eckard Specht [31].
23-Jul-2023: Some last improvements for N= 95, 361, 364, 445, 453, 470, 472, 478, 482, 498, 510, 511, 518–525, 527–541, 553, 554, 559, 567, 568, 579, 587–589, and 592 before expanding this table beyond N= 600 by Eckard Specht [31].


References

[1]   L. Fejes, Über eine Abschätzung des kürzesten Abstandes zweier Punkte eines auf einer Kugelfläche liegenden Punktsystems, Jahresbericht der Deutschen Mathematiker-Vereinigung 53 (1943), 66–68.
[2]   K. Schütte, B.L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Annalen 123 (1951), 96–124.
[3]   B.L. van der Waerden, Punkte auf der Kugel. Drei Zusätze, Math. Annalen 125 (1952), 213–222.
[4]   Raphael M. Robinson, Arrangement Of 24 Points On A Sphere, Math. Annalen 144 (1961), 17–48.
[5]   Ludwig Danzer, Endliche Punktmengen auf der 2-Sphäre mit möglichst großem Minimalabstand (Finite Point-Set on S2 with Minimum Distance as Large as Possible), Habilitationsschrift, Univ. Göttingen, Germany (1963). Engl. transl.: Discrete Math. 60 (1986), 3–66.
[6]   T. Tarnai, Ts. Gáspár, Improved packing of equal circles on a sphere and rigidity of its graph, Math. Proc. Cambridge Phil. Soc. 93 (1983), 191–218.
[7]   D. Lazić, V. Šenk, I.P. Šeškar, Arrangements of Points on a Sphere Which Maximizes the Distance, Bulletin for Applied Mathematics, Technical University Budapest XLVII-4/9/87 (1987), 7–21.
[8]   D.A. Kottwitz, The Densest Packing of Equal Circles on a Sphere, Acta Cryst. A47 (1991), 158–165.
[9]   Th. Gensane, Dense Packings of Equal Spheres in a Larger Sphere, Les Cahiers du LMPA J. Liouville 188 (2003).
[10]   H. Pfoertner, Densest Packings of n Equal Spheres in a Sphere of Radius 1, August 25, 2013.
[11]   , Serial Symmetrical Relocation Algorithm for the Equal Sphere Packing Problem, Jisuanji Yingyong Yanjiu (Application Research of Computers) 29 (2012) 5, 1695–1697 (in Chinese), arxiv:1202.4149 (2012) (in English).
[12]   , An Efficient Solution Space Exploring and Descent Method for Packing Equal Spheres in a Sphere, arxiv:2305.10023 (2023) (in English).
[31]   , program ssp, April 2010–July 2023.