Spaceships in the Single Rotation rule

Below is the list of 348 different spaceships, supported by the Single Rotation cellular automaton. Of them, 205 were discovered by the random reaction method (catching spaceships, escaping from the random seed); in total 108720436 spaceships were caught and classified. Remaining spaceships were discovered using brute-force search.

The rule is “Single Rotation”, its code string is [0,2,8,3,1,5,6,7,4,9,10,11,12,13,14,15]. Under this rule, each 2x2 block that contains exactly 1 alive cell, is rotated by 90°, and all other block are left unchanged.

In order to see spaceship images, your browser must support SVG. Click the image or URL to open spaceship in the online simulator. Table columns are sortable, click on header to change sorting order.

The list of spaceships is available in several formats:

This data is published under the CC0 license (public domain).

ImageRLESizePeriodΔxΔyVelocityVelocity valueTypeCountProbability
b2o2$b2o412201/60.167orthogonal286671030.264
bo$2b2o$3bo428221/140.0714diagonal338384710.311
2bobo$b2o444221/220.0455diagonal194420900.179
b2o2$2o448221/240.0417diagonal153415460.141
bo$bo$2o461111/610.0164diagonal41278290.038
o$o2$o$o4368221/1840.00543diagonal47258670.0435
3o$o$bo515111/150.0667diagonal10713990.00985
b2o$2b2o$2bo5149333/1490.0201diagonal7333410.00675
o$bo$o$2o5158201/790.0127orthogonal1074640.000988
3o$o3bo5178201/890.0112orthogonal1300720.0012
o$2o3$2o5632401/1580.00633orthogonal1553500.00143
b2o2$b2o$2bo5978201/4890.00204orthogonal234880.000216
obo$obo$b2o611111/110.0909diagonal893710.000822
obo$2o$b2o639111/390.0256diagonal200290.000184
bobo3$bobo$b2o639111/390.0256diagonal107819.92e-05
2b3o$bo2$3bo$3bo644201/220.0455orthogonal151600.000139
4bo$2bobo$b2obo681111/810.0123diagonal66626.13e-05
4bo$2b3o$bobo682201/410.0244orthogonal74946.89e-05
$4bo$b3obo$o694221/470.0213diagonal88698.16e-05
$o$obo$b3o695111/950.0105diagonal36273.34e-05
4bo$2o2bo$2bobo6124401/310.0323orthogonal176020.000162
bobo$b2o$2b2o6124221/620.0161diagonal182660.000168
3o2$4bo$2b2o6141111/1410.00709diagonal18531.7e-05
bo$obo$bo2$o$bo6166201/830.012orthogonal38073.5e-05
bobo3$2bo$b3o6201111/2010.00498diagonal11111.02e-05
3bo$b2o3$2b2o$3bo6204201/1020.0098orthogonal34823.2e-05
o$bo$bobo$obo6214201/1070.00935orthogonal36473.35e-05
b2o$2b2o$2bo$bo6226201/1130.00885orthogonal49584.56e-05
b2obo$bo$b2o6242201/1210.00826orthogonal40093.69e-05
2bo$o$3o$2bo6296603/1480.0203orthogonal218860.000201
o$b2o$obo$o6307555/3070.0163diagonal420270.000387
3bobo$obo$o3bo6330201/1650.00606orthogonal7306.71e-06
$o2bo2bo$4b2obo6389111/3890.00257diagonal918.37e-07
b2o2$bo$2bo3$b2o6406201/2030.00493orthogonal18631.71e-05
b4o$4b2o6412401/1030.00971orthogonal90638.34e-05
3bo$b2o2$bo$o2bo6414201/2070.00483orthogonal9768.98e-06
2bobo$b3obo6430402/2150.0093orthogonal11791.08e-05
$ob2o2$2obo6433111/4330.00231diagonal2792.57e-06
o$bo2$b2o$obo6436201/2180.00459orthogonal10199.37e-06
3bo$o2b4o6502402/2510.00797orthogonal33893.12e-05
bo$b2o$2bobo$bo6518201/2590.00386orthogonal11581.07e-05
bo2bo2$bo$b3o6540401/1350.00741orthogonal32573e-05
3b2o$bobo$2o6557111/5570.0018diagonal3613.32e-06
3bo$b2o$2o3bo6558201/2790.00358orthogonal5615.16e-06
4bo2$2b2o$bob2o6574201/2870.00348orthogonal7216.63e-06
5bobo$b2obobo6622603/3110.00965orthogonal66916.15e-05
obo$3bo$b2o2bo6642601/1070.00935orthogonal71426.57e-05
obo$bo2bo$2o6880221/4400.00227diagonal10469.62e-06
b2o$o2$o$2o6939331/3130.00319diagonal40813.75e-05
2o$bo2$bo$bo2$o6970201/4850.00206orthogonal3042.8e-06
bo2bo$o$o3bo$3bo61200401/3000.00333orthogonal10289.46e-06
2bo$2bo2$obo$2bo2$bo61200201/6000.00167orthogonal1731.59e-06
b3o$3bo$3bobo61328441/3320.00301diagonal13261.22e-05
bo$o$o$2o3$bo61362221/6810.00147diagonal6235.73e-06
b2o2$3bo$3bo$bobo61732221/8660.00115diagonal13521.24e-05
bo2$b2o2$bo$2bo2$2bo62170603/10850.00276orthogonal12621.16e-05
bobo$2b2o$3b2o62188201/10940.000914orthogonal12311.13e-05
bo3bo$bo3bo$2b2o62491333/24910.0012diagonal5384.95e-06
o2$b2o$o$2o626941005/13470.00371orthogonal37193.42e-05
bo$bo$2o2$bo2$bo62704401/6760.00148orthogonal3132.88e-06
$o$2bo$bobo$2bo$o63353111/33530.000298diagonal2332.14e-06
2bo$bobob2o$5bo63406603/17030.00176orthogonal3653.36e-06
o$bo$bo$bo3$bo3$bo63514201/17570.000569orthogonal363.31e-07
2o$bo$bo3$bo$bo64502201/22510.000444orthogonal4894.5e-06
o$o$bo$bo2$bo$o64556201/22780.000439orthogonal1039.47e-07
bo3bo$2bob2o$5bo64726442/23630.000846diagonal5274.85e-06
o5$2o2$2o$o65396802/13490.00148orthogonal6005.52e-06
bo$2bo2$obo$o2bo65780401/14450.000692orthogonal3843.53e-06
$2o2$bobo$o2bo66183555/61830.000809diagonal13191.21e-05
bo$3b2o$2bo$2b2o$3bo731111/310.0323diagonal13301.22e-05
obo$o$obo2$o$o741333/410.0732diagonal46934.32e-05
2bo2$bo2bo$b2o$b2o788221/440.0227diagonal11691.08e-05
bo$bobo$b3o$3bo7114221/570.0175diagonal7657.04e-06
bo2bo$6bo2$bo3bo$b2o7155111/1550.00645diagonal676.16e-07
bo3$bo$b2o$bo2$2bo$bo7166201/830.012orthogonal1009.2e-07
bo$2o$b2o2$o2$2bo7178201/890.0112orthogonal958.74e-07
3bo$2b2o2$bobo$2bo2$2bo7182201/910.011orthogonal1211.11e-06
6bo$5bo$5bo$6bo$6bo$bo3$3bo7245111/2450.00408diagonal65.52e-08
$3bobo$bobobo$o$bo7276221/1380.00725diagonal2031.87e-06
2bo2b2o3$2bo2bo$bo3bo7278201/1390.00719orthogonal292.67e-07
2o3$2o$o4$2o7284401/710.0141orthogonal2131.96e-06
bo3$bo$bo2$bo$bo$b2o7286201/1430.00699orthogonal635.79e-07
o2bo$o$b2o$2o7318221/1590.00629diagonal2452.25e-06
3bo$bobo$bobo2$3bo$2bo7334201/1670.00599orthogonal413.77e-07
2b3o$2bobo2$4bo$bo7334201/1670.00599orthogonal938.55e-07
2bo$b2o$o$o$2bo2$o7336401/840.0119orthogonal2412.22e-06
o$2bo$obo$3o7343333/3430.00875diagonal6265.76e-06
o$2o$2bo$2bo$o$o7364401/910.011orthogonal1831.68e-06
$bo$b2o$2bo$2b2o$3bo7365111/3650.00274diagonal181.66e-07
2bo2bo$2bobo$b2o$3bo7366221/1830.00546diagonal645.89e-07
o3b2o$5b2o$3bo2bo7417111/4170.0024diagonal181.66e-07
2b2o$bo$4b3o$5bo7458201/2290.00437orthogonal423.86e-07
2bo2$3b2o$bo3bo$2bo2bo7506201/2530.00395orthogonal444.05e-07
4bo$3bo$2b2o$bo2bo2$3bo7542201/2710.00369orthogonal131.2e-07
o$o2$3o$obo7580401/1450.0069orthogonal1481.36e-06
bo3bo$b2o2$b2o2bo7618221/3090.00324diagonal262.39e-07
bo3bo$bo$bo$3bo$bobo7734221/3670.00272diagonal181.66e-07
4bo2$b3obo$o2bo7866201/4330.00231orthogonal201.84e-07
bo3$bo$2bo4$b2o$2bo$bo7952401/2380.0042orthogonal413.77e-07
o$o$o$b2o2$bo2$bo71034201/5170.00193orthogonal151.38e-07
bo$bo$b2o3$2bo$2b2o71054201/5270.0019orthogonal21.84e-08
4bo$3bo$bob2o$2bo$bo71138442/5690.00351diagonal605.52e-07
bo$obo$bobo$2bo$bo71220401/3050.00328orthogonal121.1e-07
$obo$2bo$o2bo3$2b2o71259111/12590.000794diagonal98.28e-08
$bo$o$bo$o2bo2$2bo2$bo71297111/12970.000771diagonal19.2e-09
b2o2$2bo$b2o3$bo$2bo71372401/3430.00292orthogonal706.44e-07
4bobo$7bo2$b2ob2o71416401/3540.00282orthogonal131.2e-07
o3bo5$o2b2o$o3bo71446201/7230.00138orthogonal00
b2o3$2o$b2o3$bo71586201/7930.00126orthogonal43.68e-08
$bo$2b2o2$2bo$bo$b2o71597333/15970.00188diagonal109.2e-08
bo$3bo4$bo$b3o$bo71638201/8190.00122orthogonal141.29e-07
2bo2$bo$bo$b2o$bo5$2bo71648401/4120.00243orthogonal222.02e-07
3o2$bo$bo2$bo$bo71650201/8250.00121orthogonal444.05e-07
2bo$2b2o2$b2o$2bo2$bo71678201/8390.00119orthogonal54.6e-08
o$b2o2$ob3o71713111/17130.000584diagonal65.52e-08
b2o2$b2o2$b2o$2bo71790201/8950.00112orthogonal65.52e-08
o$o$o$o2$o$o3$o72046201/10230.000978orthogonal87.36e-08
bo4$b2o2$bo$b2o2$2bo72122201/10610.000943orthogonal181.66e-07
bo$bo2$bo$bo$bo3$bo$o72138201/10690.000935orthogonal21.84e-08
o$bo$2bo$bo2$bo$obo72218201/11090.000902orthogonal76.44e-08
3bo$2obo$4bo$2b2o72232441/5580.00179diagonal353.22e-07
bo$o$o$o3$bo$o$o72486201/12430.000805orthogonal43.68e-08
2bo2bo$bo2bo2bob2o72490201/12450.000803orthogonal21.84e-08
bo6$bo2$b2o2$bo$2bo2$2bo72650603/13250.00226orthogonal19.2e-09
2bo$bo$b2o3$2bo$2bo2$bo72710201/13550.000738orthogonal65.52e-08
o3$o2$bo$2o$o3$o72730201/13650.000733orthogonal32.76e-08
2bo2$2obo$bo$o$o73018201/15090.000663orthogonal98.28e-08
bo$2bo$2bo$2bo$o$2o73154201/15770.000634orthogonal65.52e-08
o4b2obo$o4bo3bo73206201/16030.000624orthogonal19.2e-09
2bob2o$b2obo$bo74336801/5420.00185orthogonal464.23e-07
bo$2bo$b3o2$bo$bo74342201/21710.000461orthogonal43.68e-08
3bo3bo$b2ob2obo74640441/11600.000862diagonal121.1e-07
o3$bo$3bo$2bobo$3bo$bo74738442/23690.000844diagonal32.76e-08
2bo2$o$2bo$o$2bo$2bo$o74894201/24470.000409orthogonal65.52e-08
2bo2$2bo2$bo$2bo$b2o$2bo74912401/12280.000814orthogonal19.2e-09
o2bo$2obo$b2o75574661/9290.00108diagonal1631.5e-06
4bo2$5bo$b3o$2o76216221/31080.000322diagonal87.36e-08
obobo$4bo$b3o77190201/35950.000278orthogonal222.02e-07
bo$2bo2$bo$bo$2bo$3bo$2bo78882201/44410.000225orthogonal87.36e-08
6bo2$b3o2$3b3o712206442/61030.000328diagonal00
2bo$obo$bo3$bo$obo$2bo828221/140.0714diagonal2141.97e-06
bo$3b2o$2bobo$2b2o$3bo831111/310.0323diagonal2272.09e-06
$b2o$b3o2$obo$2bo831111/310.0323diagonal655.98e-07
o3bo$obo$6bo$4bobo$4bo840221/200.05diagonal736.71e-07
bo3bo$2bo3bo2$4bobo$3bo2bo850201/250.04orthogonal201.84e-07
b2o2bobo$4b2o$o4bo856401/140.0714orthogonal645.89e-07
$bo2bo$3bobo$2bo2$5bo$3bobo887111/870.0115diagonal00
bo3bo$2bo2bo$b2o2b2o8110201/550.0182orthogonal181.66e-07
6bo2$4bo$bobo$2bo3bo$bo$o8133111/1330.00752diagonal21.84e-08
2bo2$3bobo$bobo$4bo$5bo$4bo8137111/1370.0073diagonal00
bo3bo$bo3bo$b2o$3bobo8165111/1650.00606diagonal21.84e-08
2b2o$4bo$2bo$2o$b2o8188401/470.0213orthogonal191.75e-07
3bo$o$bo$bo$3bo$2bo$2bo$3bo8193111/1930.00518diagonal21.84e-08
2b2o2$o3bo2$b3o$4bo8202201/1010.0099orthogonal00
bo5b2o$o2bo3bo2bo$2bo8204201/1020.0098orthogonal19.2e-09
2bo4b2o$bo5bo$bo$o7bo8204201/1020.0098orthogonal19.2e-09
b2o3b3o2$2bo$2bo$3bo8220201/1100.00909orthogonal21.84e-08
2bo$4bo$3bo2bo$7bo$5bo$b2o8237111/2370.00422diagonal19.2e-09
b2obo$3bo$obo$4bo$3bo8242402/1210.0165orthogonal87.36e-08
2bo$b2o3$bobo$b3o8243111/2430.00412diagonal00
o3bo$bo3bo$5bo$o2bo$4bo8246201/1230.00813orthogonal00
2bo$bo$3bobo$obo$3b2o8247111/2470.00405diagonal00
o3bo2$b2o$3b2o$3bo$3bo8270221/1350.00741diagonal19.2e-09
$6bo$3b2o2bo$2bo$bo$3b2o8285111/2850.00351diagonal19.2e-09
5bobo$obo$3b2o$2bo2bo8320201/1600.00625orthogonal21.84e-08
bobo2$3bo$bo$bobo3$b2o8338201/1690.00592orthogonal19.2e-09
bo2bo2$2bobo$4bo$b2obo8350201/1750.00571orthogonal00
b2o2bo2$3bo$bo2bo$bo$3bo8351111/3510.00285diagonal00
$bo$bo$bo2$2bo3$2bo$obo3$2bo8368221/1840.00543diagonal21.84e-08
bo7b2o2bo$3b3o7bo8372221/1860.00538diagonal32.76e-08
$8bobo$o2bo3bo$o4bo4bo8372221/1860.00538diagonal21.84e-08
3b2obo$3bo$6bo$bo$2b2o8386221/1930.00518diagonal43.68e-08
b3o$4bo$5bo$2bobo$3bo8387111/3870.00258diagonal00
obo$3bo$4bo2$o$bo$obo8400221/2000.005diagonal54.6e-08
$3b2o$5bo4$bo2b2o$o2bo8407111/4070.00246diagonal00
2bo$5bo$o2b2o$bo$2o8410221/2050.00488diagonal21.84e-08
5bo$6bo$3bobo$6bo$2bo3bo$bo8411111/4110.00243diagonal00
$b3o2$3bobo$5bo$bo3bo8412221/2060.00485diagonal19.2e-09
bo2bo$7bo$2bo$b2o$bobo8425111/4250.00235diagonal00
$o4b2o2$3bo$obo3b2o8460221/2300.00435diagonal00
o$2bo2$ob3o$bo$2bo8490201/2450.00408orthogonal00
6bo$b2o2bo$3bo4bo$bo3bo8502221/2510.00398diagonal00
b2obo2bo$3bo2bobo$4bo8506201/2530.00395orthogonal19.2e-09
3bo$2bo$4bo$bo$2bo$2b2o$bo8524401/1310.00763orthogonal54.6e-08
4bo$2o2$2b2o$3bo2b2o8533111/5330.00188diagonal00
bobo$3bo$2bo2$2bo$2b2o$bo8562201/2810.00356orthogonal19.2e-09
o$o2$2o2$3o2$bo8594201/2970.00337orthogonal00
b3o2$b2o$2bo$b2o8605111/6050.00165diagonal00
b3o$2bo$2bo$3bo$3b2o8614402/3070.00651orthogonal21.84e-08
$4bo$5bo$b2o2$3bobo$5bo$3bo8615111/6150.00163diagonal00
bo3$bo$2bo$2bo2$bo$2bo2$b2o8628401/1570.00637orthogonal21.84e-08
b3obo$bo5bo2$5bo$7bo8641111/6410.00156diagonal00
bo$2bo$3bo$5bo$3bobo2$2bo2bo8657111/6570.00152diagonal00
3bo$b2ob2o$bo$3bo2$3bo8674201/3370.00297orthogonal43.68e-08
2o$2bo$bo$2bo$2bo3$2o8684401/1710.00585orthogonal19.2e-09
4bo2$3bo$2bobo$4bo$2o$o8719111/7190.00139diagonal00
bo$bo2$3bo$b2o2$b2o$bo8726201/3630.00275orthogonal00
bo$2bo2$bo$2bo3$2bo$bo$2bo$bo8780401/1950.00513orthogonal21.84e-08
3bo$bobo2$4bo$3bo$2bo$2b2o8782201/3910.00256orthogonal00
o$bo$bo$o$o2bo$2bo$3bo8818201/4090.00244orthogonal00
4o4$o2bo$o2bo8864201/4320.00231orthogonal00
2bo2$2o$2b2o$obo$o8870201/4350.0023orthogonal00
bo3b3o3bo$4bo3bo$8bo8874402/4370.00458orthogonal00
3bo3$bobo$3bo2$2b2o$3bo$bo8886201/4430.00226orthogonal00
b3o$o$bobo2$4bo$4bo8890442/4450.00449diagonal00
bobo$bo$obo$o$o2bo8910201/4550.0022orthogonal00
o$obo$b2o$3bo2$2bo3$bo8934201/4670.00214orthogonal00
o4$3bo$2bo$2bo$bobo$3bo2$o8988401/2470.00405orthogonal00
8bo$10b2o$bo2b3o2bo81052201/5260.0019orthogonal00
4bobo$bo4bo$5bo$2bo4bo$5bo81068221/5340.00187diagonal00
2bo2$o$bo$3bo$3o$2bo81074201/5370.00186orthogonal00
b2o$o$obobo$2bo2$3bo81132201/5660.00177orthogonal00
b2o2bo$3bobo$bo2bo4$3bo81177111/11770.00085diagonal00
4bo2$6bo$3bo$bo3bo$bo2b2o81198201/5990.00167orthogonal00
3bo2bo$4bob2o$bo5bo$3bo81229111/12290.000814diagonal00
4bo3bo$o$2bob2o2bo$8bo81232201/6160.00162orthogonal19.2e-09
2b2o$2bo$3bo$b2o3$3bo$2bo81288401/3220.00311orthogonal19.2e-09
3b2o$4bo$3b2o$bo2bo2$5bo81317111/13170.000759diagonal00
bo$5bo2$bo$2bob2o$bobo81368221/6840.00146diagonal19.2e-09
6bo2$b2o4bo$bobo2bo$7bo81368201/6840.00146orthogonal00
o3bo$2b2o2bo$b2o$o81388401/3470.00288orthogonal00
b2o$bo$2bo2bo$3bo$4b2o81443331/4810.00208diagonal19.2e-09
o3b2o$bo3b3o2$bo81517111/15170.000659diagonal00
4bo$bobo$3bo2$bobo$bo4$3bo81534201/7670.0013orthogonal00
bo3bo$3b2o$5bo$bo$5bo2$2bo81579111/15790.000633diagonal00
obo2bo$o3b2o$5bo$3bo81586201/7930.00126orthogonal19.2e-09
2bo2$bo$bo$2bo$3bo2$bobo$bo81612401/4030.00248orthogonal19.2e-09
o$o$2bo$3bo$bo$2o$bo81650201/8250.00121orthogonal00
$5bo$4b2o$bo$2b2o$2bo$2bo81663111/16630.000601diagonal00
5bo$o$2bo$bo$obo$2bobo81664401/4160.0024orthogonal00
6bo$bo2bobo$o4bo$o4bo81702603/8510.00353orthogonal19.2e-09
2bo$o$bobo$bo$obo3$bo81704801/2130.00469orthogonal00
5b3o2$2bo4bo$7bo$bo2bo81708401/4270.00234orthogonal19.2e-09
$o$bobo$2bo6bo$3bob2o81730221/8650.00116diagonal00
obo3$b2o$b2o$bo2$o81736801/2170.00461orthogonal32.76e-08
bo$bo$2bo4$2bo$2bo2$2bo$b2o81740401/4350.0023orthogonal19.2e-09
b2o$obo$2bo3$b2o$2bo81784801/2230.00448orthogonal43.68e-08
6bo$b2o3bo$bo3bo$3b2o81806402/9030.00221orthogonal00
$2bo2bo$4bo2bo$o$bo2bobo81843111/18430.000543diagonal00
$ob2obo2$5bobo$5b2o81854442/9270.00216diagonal19.2e-09
$b3o$bo$3bo2$2o3$o81859111/18590.000538diagonal00
2bobobo$3bo$b3o$7bo81924882/4810.00416diagonal21.84e-08
bo4$bo2$bo$bo$2bo$b2o$bo81962201/9810.00102orthogonal00
bobo$2bo$4bo$bo3bo$b2o81970603/9850.00305orthogonal19.2e-09
2b3obo$o4bobo$5bo81996201/9980.001orthogonal00
bo2bo$b3o$bo$o2$3bo82037111/20370.000491diagonal00
5bo$4bo$4bo$bo$4b2o4$bo3bo82082201/10410.000961orthogonal00
4bo2$6bo$bo$3b4o2bo82121111/21210.000471diagonal00
o2$2bo$bo$o$o$o2$bo$2bo82144201/10720.000933orthogonal21.84e-08
3obo$3bo2bo$5bo$2bo82170402/10850.00184orthogonal00
$4bo$3bo$bo2$7bo$3b2o2bo$5bo82181111/21810.000459diagonal00
bo$2bo2$2o$2bo$bo$2b2o82190201/10950.000913orthogonal19.2e-09
2b2ob2o3bo$o3b2o82260201/11300.000885orthogonal00
bo4bo$bo4bo$bo4bo2$2o82264221/11320.000883diagonal00
bo2bo$bo$bo3bo$bobo$bo82341333/23410.00128diagonal19.2e-09
2bobo3$3b2o$4bo$b2obo82382201/11910.00084orthogonal00
2bo$obo$2bo$2bo$2bo3$bo3$2bo82450201/12250.000816orthogonal00
$5bo$4bo2bo$3bo$3b2o$bo3bo82612221/13060.000766diagonal00
$b2o$2bob2o$5bo$4bo$4bo82657111/26570.000376diagonal00
$bo2b2o$2bo$5bo$3bo3bo2$5bo82699111/26990.000371diagonal00
bob3o$o$o2b2o82850201/14250.000702orthogonal00
bo$2bo$bo$bo$3bo$2b2o3$bo82928401/7320.00137orthogonal00
$bo$bo$b2o$4bo$4b2o$3bo82967111/29670.000337diagonal00
bo2bo2$2b2o$4bo$b2obo83234201/16170.000618orthogonal19.2e-09
3o$2o3$bo$o3$o83272401/8180.00122orthogonal00
o$bo$2bo3b2o$2b2o2bo83286402/16430.00122orthogonal00
3bo$2bobo2$3bo2$bo$2bobo$4bo83608401/9020.00111orthogonal00
bo3$b3o3$b2o$bo3$bo83744401/9360.00107orthogonal00
2b2o$b2obo$bo2bo$2bo83746442/18730.00107diagonal00
bo4bo2$2bo2bo$bo$3b2obo83766201/18830.000531orthogonal00
$2bo$2o$bo$b3o$bo84023111/40230.000249diagonal19.2e-09
o$b2o2$o$2b2o$bo$3bo84047331/13490.000741diagonal00
bo2b2o$2bobo$2bo$4bo$3bo84130201/20650.000484orthogonal19.2e-09
4bo$ob2o$4bo$3bobo$4bo84228201/21140.000473orthogonal00
4bo$2bo$2bobo$o$o3bo$bo84390201/21950.000456orthogonal00
3bo$2bo$bo$3bo$2bo$2bo4$3bo$bo84710201/23550.000425orthogonal00
2bo$b2o$2bo4$bo$bo$2b2o84755111/47550.00021diagonal19.2e-09
bo$4bo$4bo$bo2bo$4bo2$4bo3$bo84809331/16030.000624diagonal00
$o$3b3o$o3bo$4bo$4bo84986442/24930.000802diagonal00
bo6bo$obo4bo$2bob2o85456401/13640.000733orthogonal00
o$o2$bo4$o$o2$o$2o85474603/27370.0011orthogonal00
$o2$bo$o2$bo$bo$o$bo2$bo86028441/15070.000664diagonal00
2b2o$2o2$3bo$3bo2$o2bo86338402/31690.000631orthogonal00
2bo2b2o$bo3bo$bo$3bo$5bo86510201/32550.000307orthogonal19.2e-09
4bo2$b2o2$2b2o$3bo$3bo$4bo86578201/32890.000304orthogonal00
5bo2bo$5bobo$7bo$6bobo$bo86674201/33370.0003orthogonal00
o$bo3$bo$bo$bo$o$o$o87550201/37750.000265orthogonal00
b3o$o3b2o2$bo$2bo89046201/45230.000221orthogonal21.84e-08
8bo$4bo$3bobo2$bobob2o811006442/55030.000363diagonal00
o3bo2$o3bo$o2$2b3o811468802/28670.000698orthogonal00
$3b2o$b2ob2o$4b2o$2bo931111/310.0323diagonal262.39e-07
$b2obo$bob3o$5bo$2bo931111/310.0323diagonal98.28e-08
bo2bo$2b3o$3bobo2$b2o946201/230.0435orthogonal43.68e-08
3bobo$3bo$3b2o$b3o$bo947111/470.0213diagonal19.2e-09
2bob2o$4b2o$bo4bo$obo950221/250.04diagonal43.68e-08
$bo$2b2o$2bo2bo$5bo$4bo$2bobo9100221/500.02diagonal00
o2bo$b2o$2b2o$b2o$bo9181111/1810.00552diagonal00
b4o$2bobo$4bo$b2o9226201/1130.00885orthogonal00
3obo3$3bo$b2obo$o9236221/1180.00847diagonal00
$o2$2b2o$o$b2o$3bo2$obo9249111/2490.00402diagonal00
obobo$2o2bo$3bo$2bo$3bo9254221/1270.00787diagonal00
b2o$2bo3$b2o2$bo$b2o2$2bo9272401/680.0147orthogonal19.2e-09
3bo$2b4o$4bo$4bo$5bo$bo9314201/1570.00637orthogonal00
4bo2bo$10bo$6b2o$b2o3b2o9320221/1600.00625diagonal00
o2$bo2$obo$2o$3bo$bo$o9354201/1770.00565orthogonal19.2e-09
2o2bo$b2o$bo$2bo$bo$2bo9398201/1990.00503orthogonal00
o3bobo$6bo2bo$bo2b3o9464401/1160.00862orthogonal19.2e-09
4bo$bo2bo$bo$2bobo$3bo$4b2o9544401/1360.00735orthogonal00
2bo$o$b2o2bo2$4bo$b2obo9609111/6090.00164diagonal00
b2obobo$6b2o$5b2o$7bo9638201/3190.00313orthogonal00
o2bo$2bobo$2b2o$o$bo2bo9674221/3370.00297diagonal00
$bo2b2o2$2bob2o$bobo$o9699331/2330.00429diagonal00
bo2$b2o$o$2bo$3bo$3bo$3bo$3bo9750221/3750.00267diagonal00
2bo$4bo$5bo2$2bo2bo$2bob2o$bo9808401/2020.00495orthogonal19.2e-09
o2$2o$bo$bo2$2obo$bo9926201/4630.00216orthogonal00
2ob4o$o4bo$6bo91014201/5070.00197orthogonal00
4bo$2bo$4bo$4bo$3bo$2bo2$bo$2b2o91190201/5950.00168orthogonal00
bo$3bo$2bo2$2bo$bo$b2o2$2bo$3bo91248401/3120.00321orthogonal00
2bobo$b2obo$3bo$bobo$4bo91534201/7670.0013orthogonal00
7bo$3b2o$6bo$bo4bo$bo3b2o91650221/8250.00121diagonal00
o3b2obo$5bobo$2obo91674201/8370.00119orthogonal00
5b2o$obobo$bobo$o2bo91978201/9890.00101orthogonal00
7bo$bo5b2o$2bob2o$2bobo92014221/10070.000993diagonal00
5b2o$b2ob2o$2bo4bo$6bo92143111/21430.000467diagonal00
5bob2o$b2obob2o$4bo92356802/5890.0034orthogonal00
2b2o$b2o$2bo$bo$3bo2$2o92503111/25030.0004diagonal00
b2obo2$b2obo2$bobo$bo93318201/16590.000603orthogonal00
3obobo$o2$2b3o93540802/8850.00226orthogonal00
2b2o$b3o$3bo2$bo$2bo2$2bo94382201/21910.000456orthogonal00
2bo2b3o2$5bo$b2o2b2o95880801/7350.00136orthogonal00
3bo$bob2o$3bo$2bo2$2bo$3b2o97494601/12490.000801orthogonal00
2bo$2bo$2bo$bo2$o$o$o$b2o99482603/47410.000633orthogonal00
2b2o$b3obo$bobo$4bo$2bo1031111/310.0323diagonal00
o$o2bo$2b2o$bo$o$obo$bo1077111/770.013diagonal00
b2obo$o4bo$o3bo$3bo$2b2o10114201/570.0175orthogonal00
o3b2o$3bobo$b2o$2b2o$bo10130201/650.0154orthogonal00
$4bo$bob3o$4b2o$bo$bo$2bo10136221/680.0147diagonal00
o2b2o2$2b3o$o3bo2$3b2o10184201/920.0109orthogonal00
8bo$3b2o$4bo$2b5o$bo10392401/980.0102orthogonal00
4b2o$o4bo$3b2o2$2b2o$bo2bo10456401/1140.00877orthogonal00
bo4bo$2bob2o2$3bo2bo$4b3o10482221/2410.00415diagonal00
5bo$o3b2o$2o$2b2o$bo$4bo10598201/2990.00334orthogonal00
4bo$4b2o2$5bo$2bo$bo$b4o101408221/7040.00142diagonal00
3bo$3bo2$b3o$3bo$2bo$b2o2$2bo102398201/11990.000834orthogonal00
8bo$2b2o3bo$bobo$3b2o$b2o102901111/29010.000345diagonal00
b3o$2bo$3bo$bo$2obo$2o11134201/670.0149orthogonal00
2b4o$4b2o$bo2bo$2bo$bo2bobo12142201/710.0141orthogonal00
o$2b3o$3b3o$obobo$4bo$b2o13870201/4350.0023orthogonal00