{"problems":[{"id":"tetintet","piece":"tetrahedron","container":"tetrahedron","rows":[{"n":2,"s":"1.95356+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.9535648569341,"st":1.953564244562,"cf":null,"den":0.2683,"vlb":1.25992,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n02.json","ok":true,"ver":true,"cert":["(1) containment, exact, 32 vertex/face tests: ok;  min wall gap ~ 1.000000166778e-07","(2) separation, exact, 1 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[0.0428108,-0.1329254,-0.0893786,0.7084974,-0.1632013,-0.5067318,0.4632705],[-0.3371359,0.3371359,-0.3371359,0.0,0.0,-0.0,1.0]]},{"n":3,"s":"2.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.0000006123725,"st":2.0,"cf":"2","den":0.375,"vlb":1.44225,"move":"import","derived":"tetintet_n04 minus its last piece","who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n03.json","ok":true,"ver":true,"cert":["(1) containment, exact, 48 vertex/face tests: ok;  min wall gap ~ 1.000000130562e-07","(2) separation, exact, 3 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.224744872186e-07"],"p":[[-0.3535534,-0.3535534,0.3535534,1.0,0.0,0.0,0.0],[-0.3535534,0.3535534,-0.3535534,1.0,0.0,0.0,0.0],[0.3535534,-0.3535534,-0.3535534,1.0,0.0,0.0,0.0]]},{"n":4,"s":"2.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.0000006123725,"st":2.0,"cf":"2","den":0.5,"vlb":1.5874,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n04.json","ok":true,"ver":true,"cert":["(1) containment, exact, 64 vertex/face tests: ok;  min wall gap ~ 1.000000130562e-07","(2) separation, exact, 6 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.224744872186e-07"],"p":[[-0.3535534,-0.3535534,0.3535534,1.0,0.0,0.0,0.0],[-0.3535534,0.3535534,-0.3535534,1.0,0.0,0.0,0.0],[0.3535534,-0.3535534,-0.3535534,1.0,0.0,0.0,0.0],[0.3535534,0.3535534,0.3535534,1.0,0.0,0.0,0.0]]},{"n":5,"s":"2.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.000000734847,"st":2.0,"cf":"2","den":0.625,"vlb":1.70998,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n05.json","ok":true,"ver":true,"cert":["(1) containment, exact, 80 vertex/face tests: ok;  min wall gap ~ 1.000000157804e-07","(2) separation, exact, 10 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999994736e-08"],"p":[[0.1178512,0.1178512,0.1178512,0.8164966,-0.4082483,0.0,0.4082483],[-0.3535535,-0.3535535,0.3535535,1.0,0.0,0.0,0.0],[-0.3535535,0.3535535,-0.3535535,1.0,0.0,0.0,0.0],[0.3535535,-0.3535535,-0.3535535,1.0,0.0,0.0,0.0],[0.3535535,0.3535535,0.3535535,1.0,0.0,0.0,0.0]]},{"n":6,"s":"2.29099+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.2909952548622,"st":2.290994448736,"cf":"(3 + \u221a15)/3","den":0.499,"vlb":1.81712,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n06.json","ok":true,"ver":true,"cert":["(1) containment, exact, 96 vertex/face tests: ok;  min wall gap ~ 1.000000151715e-07","(2) separation, exact, 15 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999994736e-08"],"p":[[-0.0257206,-0.2024973,0.1028821,0.2475031,-0.8946514,-0.3242996,-0.1821285],[0.3508691,-0.3671493,-0.4010426,0.4868321,-0.49826,-0.5169208,-0.4975183],[0.0257206,0.2024973,0.1028821,0.4990643,0.6146875,-0.0472544,0.6089838],[-0.4564356,-0.4564356,0.4564356,0.5,-0.5,0.5,-0.5],[0.4564356,0.4564356,0.4564356,0.5,-0.5,0.5,-0.5],[-0.3695896,0.3536211,-0.3632784,0.4925017,-0.5367092,-0.4886635,0.4802013]]},{"n":7,"s":"2.38195+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.3819517201801,"st":2.381950919771,"cf":null,"den":0.518,"vlb":1.91293,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n07.json","ok":true,"ver":true,"cert":["(1) containment, exact, 112 vertex/face tests: ok;  min wall gap ~ 1.000000069027e-07","(2) separation, exact, 21 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002527e-07"],"p":[[-0.4885935,0.4885935,-0.4885935,0.5,0.5,-0.5,-0.5],[-0.0852217,-0.2256128,0.238562,0.52206,-0.5253104,-0.0188785,0.6716739],[-0.4885935,-0.4885935,0.4885935,0.0,0.0,1.0,0.0],[0.0952519,-0.2323475,-0.2388657,0.3412837,0.854355,-0.3430176,0.1895836],[-0.1726901,0.2374847,-0.045787,0.2450021,0.8303559,0.3674701,-0.3397775],[0.4885935,-0.4885935,-0.4885935,0.5,-0.5,0.5,0.5],[0.3899731,0.4293026,0.3877621,0.5151327,0.4935524,-0.5237213,0.4655753]]},{"n":8,"s":"2.38742+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.3874266594137,"st":2.387425886723,"cf":"(4 + \u221a10)/3","den":0.5879,"vlb":2.0,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n08.json","ok":true,"ver":true,"cert":["(1) containment, exact, 128 vertex/face tests: ok;  min wall gap ~ 1.000000063900e-07","(2) separation, exact, 28 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003637e-07"],"p":[[-0.4905292,0.4905292,-0.4905292,0.5,0.5,-0.5,-0.5],[-0.0684879,-0.2452646,0.2452646,0.5462859,-0.5462859,-0.0,0.6349358],[-0.4905292,-0.4905292,0.4905292,0.0,0.0,1.0,0.0],[0.0684879,-0.2452646,-0.2452646,0.3174679,0.8637538,-0.3174679,0.2288179],[-0.2452646,0.2452646,-0.0684879,0.2288179,0.8637538,0.3174679,-0.3174679],[0.4905292,-0.4905292,-0.4905292,0.5,-0.5,0.5,0.5],[0.4905292,0.4905292,0.4905292,0.5,0.5,-0.5,0.5],[0.2452646,0.2452646,0.0684879,0.3174679,0.3174679,-0.2288179,0.8637538]]},{"n":9,"s":"2.61556+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.6155637613174,"st":2.615562886146,"cf":null,"den":0.503,"vlb":2.08008,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n09.json","ok":true,"ver":true,"cert":["(1) containment, exact, 144 vertex/face tests: ok;  min wall gap ~ 1.000000190815e-07","(2) separation, exact, 36 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001972e-07"],"p":[[-0.5711879,0.5711879,-0.5711879,0.5,0.5,-0.5,-0.5],[-0.0394063,-0.3907221,0.0884786,0.4725808,-0.5207512,-0.2265533,0.6739133],[-0.5711879,-0.5711284,0.5711284,0.0,-0.0,-1.0,0.0],[0.0856026,-0.3239389,-0.3063128,0.286217,0.8450574,-0.3185761,0.3201047],[-0.3354088,0.1935208,-0.0529957,0.121399,0.9292875,0.2579701,-0.2348158],[0.5711879,-0.5711879,-0.5711879,0.5,-0.5,0.5,0.5],[0.5711879,0.5711879,0.5711879,0.5,0.5,-0.5,0.5],[0.1579596,0.2042013,-0.209027,0.2608029,0.2608029,-0.2608029,0.8921578],[0.1668456,0.2096854,0.3145303,0.7367739,-0.4340846,0.1290673,0.5020721]]},{"n":10,"s":"2.70630+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.7063036336779,"st":2.70630273876,"cf":null,"den":0.5045,"vlb":2.15443,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n10.json","ok":true,"ver":true,"cert":["(1) containment, exact, 160 vertex/face tests: ok;  min wall gap ~ 1.000000061336e-07","(2) separation, exact, 45 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999953103e-08"],"p":[[0.2710899,0.3537265,0.3537265,0.3640836,-0.8487342,0.120567,-0.3640836],[-0.6032693,-0.6032693,0.6032693,0.5,0.5,-0.5,-0.5],[0.6032693,0.6032693,0.6032693,0.5,-0.5,-0.5,0.5],[-0.6032693,0.6032693,-0.6032693,0.5,0.5,0.5,-0.5],[0.1177976,0.2715707,-0.2063442,0.3532434,0.3518867,-0.3433342,-0.7959375],[-0.3654239,0.2248825,-0.0927736,0.3960839,-0.2689093,-0.4223222,0.7697073],[-0.2710899,-0.3537265,0.3537265,0.120567,0.3640836,0.3640836,0.8487342],[0.6032693,-0.6032693,-0.6032693,0.5,0.5,0.5,-0.5],[-0.1177976,-0.2715707,-0.2063442,0.2256233,0.9222009,-0.2170708,0.22698],[0.3654239,-0.2248825,-0.0927736,0.3960839,0.2689093,0.4223222,0.7697073]]},{"n":11,"s":"2.79938+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.7993881730512,"st":2.799387299769,"cf":null,"den":0.5014,"vlb":2.22398,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n11.json","ok":true,"ver":true,"cert":["(1) containment, exact, 176 vertex/face tests: ok;  min wall gap ~ 1.000000129280e-07","(2) separation, exact, 55 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.006813579174e-07"],"p":[[0.136143,0.3706349,0.4016878,0.2705742,-0.8833849,0.2705742,-0.2705742],[-0.6361796,-0.6361796,0.6361796,0.5,0.5,-0.5,-0.5],[0.6361796,0.6361796,0.6361796,0.5,-0.5,-0.5,0.5],[-0.6361796,0.6361796,-0.6361796,0.5,0.5,0.5,-0.5],[0.122022,0.4138906,-0.100267,0.2065794,0.2065794,-0.2065794,-0.933796],[-0.3860609,0.3217242,-0.1874874,0.3718732,-0.2225746,-0.3872833,0.813746],[-0.3203933,-0.38761,0.38761,0.1005826,0.3719579,0.3719579,0.8444985],[0.6361796,-0.6361796,-0.6361796,0.5,0.5,0.5,-0.5],[-0.2409535,-0.2447265,-0.1504996,0.1825034,0.9487242,-0.1825034,0.1825034],[0.3620132,-0.1703445,0.1038219,0.310023,0.310023,0.310023,0.8435978],[0.2626612,-0.1793632,-0.3864601,0.3013669,-0.0390317,-0.9178559,-0.2553333]]},{"n":12,"s":"2.85760+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.8576051607376,"st":2.857604249737,"cf":null,"den":0.5143,"vlb":2.28943,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n12.json","ok":true,"ver":true,"cert":["(1) containment, exact, 192 vertex/face tests: ok;  min wall gap ~ 1.000000132485e-07","(2) separation, exact, 66 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002249e-07"],"p":[[0.2742612,0.387647,0.2510907,0.330836,-0.9119732,0.1661568,-0.1767609],[-0.6567624,-0.6567624,0.6567624,0.5,0.5,-0.5,-0.5],[0.6567624,0.6567624,0.6567624,0.5,-0.5,-0.5,0.5],[-0.6567624,0.6567624,-0.6567624,0.5,0.5,0.5,-0.5],[0.0951009,0.4047057,-0.1569558,0.2171201,0.2171201,-0.2171201,-0.9265941],[-0.4039061,0.2969849,-0.2181879,0.4147794,-0.1828597,-0.4592444,0.763947],[-0.3676846,-0.4109546,0.4109546,0.0676741,0.3844419,0.3844419,0.8365579],[0.6567624,-0.6567624,-0.6567624,0.5,0.5,0.5,-0.5],[-0.24081,-0.255234,-0.1607184,0.1680737,0.9566889,-0.1680737,0.1680737],[0.4250347,-0.1756383,0.0560893,0.3205303,0.3205303,0.3205303,0.8317337],[0.2468955,-0.1740776,-0.4143679,0.2853133,-0.0123454,-0.9314508,-0.2254847],[-0.0289899,0.0143756,0.5642844,0.4332599,-0.575889,0.5051138,-0.474866]]},{"n":13,"s":"2.91514+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.9151457421208,"st":2.915144785815,"cf":null,"den":0.5248,"vlb":2.35133,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n13.json","ok":true,"ver":true,"cert":["(1) containment, exact, 208 vertex/face tests: ok;  min wall gap ~ 1.000000031209e-07","(2) separation, exact, 78 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000008454932e-07"],"p":[[0.6771061,0.6771061,0.6771061,0.5,0.5,0.5,-0.5],[-0.6722422,-0.6731709,0.671406,0.0009521,-0.0012523,-0.9999928,0.0034402],[0.6771061,-0.6771061,-0.6771061,0.5,-0.5,-0.5,0.5],[0.0690953,-0.5822204,0.0068319,0.991779,-0.0855314,0.0750267,-0.058564],[0.4432077,-0.4006183,-0.3853644,0.0229173,-0.386082,-0.8434625,0.372809],[-0.4407263,0.4407263,-0.4386581,0.4070577,0.4070577,-0.8176769,0.0035616],[-0.4414204,-0.4340026,0.1983169,0.5773452,-0.0042024,-0.5773452,0.5773452],[0.3598063,0.163734,-0.0810985,0.3321912,0.8483529,0.2396884,0.3354041],[-0.6771061,0.6771061,-0.6771061,0.0,1.0,0.0,0.0],[0.2544972,0.4319211,0.4319211,0.3171517,-0.8638048,0.2295013,-0.3171517],[0.1320844,-0.0857422,0.4471479,0.5693928,0.5708971,0.5850772,-0.0869081],[-0.4719799,0.107744,0.0973822,0.9459587,-0.1872273,0.1872273,0.1872273],[-0.1244158,-0.0033789,-0.5493114,0.1024987,0.1024987,0.9841149,-0.1024987]]},{"n":14,"s":"2.94300+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.943005376412,"st":2.943004412845,"cf":null,"den":0.5492,"vlb":2.41014,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n14.json","ok":true,"ver":true,"cert":["(1) containment, exact, 224 vertex/face tests: ok;  min wall gap ~ 1.000000065823e-07","(2) separation, exact, 91 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000005759311e-07"],"p":[[0.0177665,0.6471381,-0.0220514,0.513885,-0.513885,-0.4558144,-0.513885],[0.686956,0.686956,0.686956,0.5,0.5,0.5,-0.5],[-0.686956,-0.686956,0.686956,0.0,-0.0,1.0,-0.0],[0.686956,-0.686956,-0.686956,0.5,-0.5,-0.5,0.5],[0.0504092,-0.6013298,-0.0139714,0.9920758,-0.0997649,0.071063,-0.0279751],[0.4488842,-0.4488842,-0.4413086,0.012853,-0.403919,-0.820691,0.403919],[-0.4506934,0.4506934,-0.4489882,0.4072662,0.4072662,-0.8174717,0.0029393],[-0.4483629,-0.4454384,0.2094007,0.5794115,0.0096621,-0.5762589,0.5762939],[0.4525827,0.1272956,-0.0967066,0.2653444,0.8915015,0.2661355,0.2529611],[-0.686956,0.686956,-0.686956,0.0,1.0,0.0,-0.0],[0.2768489,0.3740194,0.4371484,0.3098017,-0.8354215,0.2487547,-0.3797564],[0.1189287,-0.0894736,0.4499756,0.5638767,0.5666125,0.5982913,-0.0551444],[-0.4675026,0.0671597,0.1522937,0.7928899,-0.351817,0.351817,0.351817],[-0.1339652,-0.0182232,-0.4864038,0.1306267,0.1523211,0.9761451,-0.0829202]]},{"n":15,"s":"2.98883+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.9888335999753,"st":2.988832622915,"cf":null,"den":0.5618,"vlb":2.46621,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n15.json","ok":true,"ver":true,"cert":["(1) containment, exact, 240 vertex/face tests: ok;  min wall gap ~ 1.000000172867e-07","(2) separation, exact, 105 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[0.000595,0.695427,-0.0005594,0.4988425,-0.5051221,-0.4924747,-0.5034645],[0.7031587,0.7031587,0.7031587,0.5,0.5,0.5,-0.5],[-0.7031587,-0.7031587,0.7031587,0.0,0.0,1.0,-0.0],[0.7031587,-0.7031587,-0.7031587,0.5,-0.5,-0.5,0.5],[-0.0038165,-0.6935726,-0.0057696,0.9999301,-0.0068255,-0.0068255,-0.0068255],[0.4673362,-0.4674264,-0.4674264,0.0001561,0.4081963,0.8165486,-0.4081963],[-0.4674564,0.4674564,-0.4674564,0.4082483,0.4082483,-0.8164966,0.0],[0.5150673,0.0490707,-0.1390207,0.1686633,0.9563776,0.1686633,0.1686633],[-0.7031587,0.7031587,-0.7031587,0.0,1.0,0.0,0.0],[0.2463287,0.4510221,0.4620196,0.2967286,-0.8596704,0.2773734,-0.309811],[0.1030648,-0.0323554,0.515117,0.5307317,0.5483797,0.6049457,-0.2272538],[-0.5969859,-0.0044198,0.1105926,0.6190095,-0.4534414,0.4534414,0.4534414],[-0.1229602,0.0053297,-0.5647629,0.0942823,0.1049067,0.9871222,-0.0754665],[0.0053532,0.011932,0.0545464,0.6860842,-0.1098244,-0.2488858,0.6747466],[-0.458268,-0.4449465,0.4131078,0.8333319,-0.0726142,-0.3935681,-0.3812994]]},{"n":16,"s":"3.03538+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.0353808603309,"st":3.035379871869,"cf":null,"den":0.5721,"vlb":2.51984,"move":"reinsert","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n16.json","ok":true,"ver":true,"cert":["(1) containment, exact, 256 vertex/face tests: ok;  min wall gap ~ 1.000000076078e-07","(2) separation, exact, 120 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999939225e-08"],"p":[[-0.2545731,-0.2391627,0.4785765,0.7955766,6.88e-05,0.4270254,-0.4297757],[-0.6927364,-0.7142068,0.6909306,0.9999713,0.0063903,0.0038656,0.0012819],[-0.2679832,0.4794276,-0.4794276,0.6010786,0.0,0.5651126,0.5651126],[-0.7196156,-0.0009485,0.0009485,1.0,-0.0,0.0,-0.0],[-0.7196156,0.7196156,-0.7196156,1.0,-0.0,-0.0,-0.0],[0.4839133,-0.248211,-0.248211,0.8164966,-0.0,0.4082483,-0.4082483],[0.0125087,-0.7196156,-0.0125087,1.0,0.0,-0.0,0.0],[-0.0263525,0.0171902,-0.7018391,0.9997177,-0.0188203,-0.0065654,-0.0129277],[0.7196156,-0.7196156,-0.7196156,1.0,0.0,0.0,-0.0],[0.2421301,0.2520416,0.4808728,0.4193151,0.0,0.4193151,-0.8052017],[0.0033873,0.0033873,0.7196156,1.0,-0.0,-0.0,-0.0],[-0.0082813,0.7196156,-0.0082813,1.0,-0.0,-0.0,-0.0],[0.7196156,-0.0125087,-0.0125087,1.0,0.0,0.0,0.0],[0.7119861,0.7021713,0.7086763,0.9999639,-0.0040653,0.0056568,-0.0048727],[0.2119203,0.1512403,0.038267,0.0541734,0.6279723,0.6748881,0.3837213],[-0.1393751,-0.2087826,0.0450685,0.1576333,-0.1766604,-0.8710188,-0.430429]]},{"n":17,"s":"3.08936+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.0893684445462,"st":3.08936744286,"cf":null,"den":0.5766,"vlb":2.57128,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n17.json","ok":true,"ver":true,"cert":["(1) containment, exact, 272 vertex/face tests: ok;  min wall gap ~ 1.000000056208e-07","(2) separation, exact, 136 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999195376e-08"],"p":[[-0.2093089,-0.2743486,0.4156586,0.8317959,0.1246842,0.4134359,-0.3487696],[-0.7387031,-0.7387031,0.7387031,1.0,0.0,0.0,0.0],[-0.2769205,0.4815863,-0.2652042,0.3912292,0.1168055,0.810695,0.4196067],[-0.6798824,-0.0957985,0.0369778,0.9971419,-0.0436199,-0.0436199,-0.0436199],[-0.7254034,0.7065545,-0.7074519,0.9999538,-0.001106,-0.0095462,0.0002676],[0.5027699,-0.2672585,-0.2671081,0.816643,0.0004257,0.4082099,-0.4079934],[0.0315956,-0.7380769,-0.0313868,0.9999996,0.0001477,-0.0004433,0.0007382],[0.0318499,-0.0315963,-0.7384495,1.0,0.0001794,0.0001794,-0.0001794],[0.7387031,-0.7387031,-0.7387031,1.0,0.0,0.0,0.0],[0.2604576,0.2686006,0.4963514,0.4051409,0.0224527,0.4162099,-0.8137112],[0.011168,0.0303105,0.7195606,0.9997173,0.0137281,-0.0137281,-0.0137281],[0.0200679,0.644648,-0.0374423,0.9929521,0.0593282,0.0592132,-0.0837862],[0.7386909,-0.0313548,-0.0313426,1.0,8.6e-06,-8.6e-06,8.6e-06],[0.7159871,0.7173336,0.717015,0.9998625,-0.0064466,0.0011139,0.0152348],[0.1971074,0.2446196,0.0916957,0.097411,-0.5556977,-0.7480564,-0.3494609],[0.0135664,-0.1166067,0.0417453,0.2422616,-0.0056657,-0.7978802,-0.5519641],[-0.3084957,0.0730349,-0.2299052,0.79892,-0.4623683,0.351422,-0.1563488]]},{"n":18,"s":"3.11466+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.1146662538226,"st":3.11466525598,"cf":null,"den":0.5957,"vlb":2.62074,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n18.json","ok":true,"ver":true,"cert":["(1) containment, exact, 288 vertex/face tests: ok;  min wall gap ~ 1.000000119024e-07","(2) separation, exact, 153 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999997512e-08"],"p":[[-0.0405403,-0.7476473,0.0405403,1.0,0.0,0.0,0.0],[-0.708065,0.6958495,-0.7329694,0.9998351,0.008731,0.0119524,0.0105233],[0.3038598,-0.2810354,-0.4891206,0.0648424,-0.7200148,-0.5118576,0.464086],[-0.5119449,-0.5119449,0.5119449,0.4082483,-0.0,0.4082483,-0.8164966],[-0.0405403,-0.0405403,0.0405403,0.0,-0.1433148,0.7677864,0.6244716],[-0.0405403,-0.0405403,0.7476473,0.5,-0.5,-0.5,0.5],[0.7447833,0.6538046,0.6538046,0.0001596,0.0017665,-0.9999984,-0.0002592],[0.0813803,0.2860584,0.2533573,0.8233265,-0.3134475,-0.4304635,-0.1964315],[0.2860584,-0.2533573,-0.0813803,0.4513709,-0.568387,-0.685403,0.058508],[0.4891206,0.3038598,0.2810354,0.0648424,-0.464086,-0.7200148,0.5118576],[-0.2810354,0.4891206,-0.3038598,0.351472,0.8804005,0.3037004,0.0955432],[0.6291961,-0.0181876,0.0728743,0.4248991,-0.6338641,-0.4499662,-0.4639045],[0.6910281,-0.7188721,-0.714353,0.508588,0.5082554,-0.4766023,-0.505831],[-0.7476473,-0.7476473,0.7476473,0.5,0.5,-0.5,-0.5],[-0.7476473,-0.0405403,0.0405403,0.5,0.5,-0.5,-0.5],[-0.0728743,0.6291961,0.0181876,0.0975134,0.0724463,0.986317,0.1114516],[-0.0181876,-0.0728743,-0.6291961,0.5614179,0.5224125,-0.3524529,-0.5363508],[-0.2533573,0.0813803,-0.2860584,0.8233265,0.1964315,-0.3134475,0.4304635]]},{"n":19,"s":"3.18726+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.1872656204973,"st":3.187264594834,"cf":null,"den":0.5868,"vlb":2.6684,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n19.json","ok":true,"ver":true,"cert":["(1) containment, exact, 304 vertex/face tests: ok;  min wall gap ~ 1.000000153638e-07","(2) separation, exact, 171 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999997618859e-08"],"p":[[-0.0369274,-0.7700629,0.0336753,0.999992,0.0023049,0.0023049,0.0023049],[-0.773315,0.773315,-0.773315,1.0,-0.0,-0.0,-0.0],[0.3395443,-0.3043551,-0.5150704,0.0584158,-0.7105994,-0.5190032,0.471457],[-0.4281314,-0.5146705,0.4077699,0.3110499,-0.0571966,0.3344254,-0.8877703],[0.0271019,0.0015373,-0.0361131,0.0266696,-0.1738175,0.7679255,0.6159274],[0.0028162,0.0028162,0.773315,0.5,-0.5,-0.5,0.5],[0.7547799,0.6884658,0.6943217,0.0152427,-0.0113103,0.9998004,0.0062431],[0.1186404,0.336853,0.1793198,0.8062534,-0.3041874,-0.4656274,-0.2015356],[0.3469492,-0.2883005,-0.107205,0.45205,-0.5607913,-0.6900172,0.0709939],[0.5181835,0.3426081,0.2805697,0.0392536,-0.4766051,-0.7342857,0.4818],[-0.4329432,0.5171377,-0.4750312,0.3929895,0.8369779,0.1465678,0.3514898],[0.6803028,0.029958,0.0740897,0.4209938,-0.6039865,-0.4644145,-0.4922232],[0.6787523,-0.6940025,-0.7313063,0.5125944,0.4742257,-0.5178937,-0.4941083],[-0.773315,-0.773315,0.773315,0.5,0.5,-0.5,-0.5],[-0.773315,-0.0053734,0.0053734,0.5,0.5,-0.5,-0.5],[-0.1181919,0.724908,-0.0697848,0.035561,0.035561,0.9981013,0.035561],[-0.0013932,-0.0629051,-0.6844826,0.5491247,0.5140395,-0.3942943,-0.5279749],[-0.2561603,0.0736028,-0.3422711,0.8299805,0.1566027,-0.3309162,0.4208354],[-0.2812383,-0.1055734,0.3426274,0.291887,-0.4116134,-0.8425034,-0.1885851]]},{"n":20,"s":"3.24580+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.2458093990922,"st":3.245808359088,"cf":null,"den":0.5849,"vlb":2.71442,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n20.json","ok":true,"ver":true,"cert":["(1) containment, exact, 320 vertex/face tests: ok;  min wall gap ~ 1.000000151715e-07","(2) separation, exact, 190 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-0.0928096,-0.7832724,0.0820686,0.9999121,0.0076543,0.0076543,0.0076543],[-0.7940134,0.7940134,-0.7940134,1.0,0.0,-0.0,-0.0],[0.3451784,-0.3314234,-0.544068,0.0219126,0.7229902,0.5210694,-0.4530912],[-0.512732,-0.5431604,0.3736033,0.2915684,-0.2192212,0.3254479,-0.8723609],[-0.045245,-0.0447269,-0.0117636,0.0387304,-0.0762786,0.8138285,0.5747737],[0.0411009,0.0411009,0.7940134,0.5,-0.5,-0.5,0.5],[0.7940134,0.7940134,0.7940134,0.0,-0.0,1.0,0.0],[0.07894,0.3615278,0.0764524,0.8307901,-0.3734723,-0.36655,-0.1895981],[0.2193087,-0.3669399,-0.085138,0.4417982,-0.6392442,-0.628932,0.0250157],[-0.4818091,0.5457289,-0.5457289,0.3736565,0.8435093,0.0961964,0.3736565],[0.7163816,-0.1544295,-0.1249643,0.4295699,-0.5862299,-0.4710716,-0.4998958],[0.7940134,-0.7940134,-0.7940134,0.5,0.5,-0.5,-0.5],[-0.7940134,-0.7940134,0.7940134,0.5,0.5,-0.5,-0.5],[-0.7940134,0.0124239,-0.0124239,0.5,0.5,-0.5,-0.5],[0.0101477,-0.011065,-0.7930961,0.5003242,0.5003242,-0.4990261,-0.5003242],[-0.2583975,0.0637109,-0.3434331,0.8547425,0.1365716,-0.307185,0.3954754],[-0.3193708,-0.1112723,0.3296463,0.2219088,-0.3589734,-0.8908854,-0.1679816],[0.3562438,0.4351271,0.5410362,0.4994108,-0.6245421,-0.5984836,0.0485114],[0.542817,0.2178329,0.0853458,0.3519902,-0.1929029,-0.8432251,-0.3575791],[-0.1886203,0.7028982,-0.1030479,0.3916475,0.5353998,-0.5275877,-0.5306699]]},{"n":21,"s":"3.29827+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.2982721401368,"st":3.29827108728,"cf":null,"den":0.5853,"vlb":2.75892,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n21.json","ok":true,"ver":true,"cert":["(1) containment, exact, 336 vertex/face tests: ok;  min wall gap ~ 1.000000076078e-07","(2) separation, exact, 210 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999994736e-08"],"p":[[0.0036194,-0.8125617,-0.0036194,1.0,-0.0,-0.0,-0.0],[-0.8125617,0.8125617,-0.8125617,1.0,0.0,0.0,-0.0],[0.0957474,-0.3062342,-0.5087462,0.1832291,-0.8820617,-0.3038462,0.3099544],[-0.3293975,-0.5544352,0.3705741,0.1155331,-0.4307901,0.4637305,-0.7655234],[-0.0915794,0.0309367,0.0401008,0.0195838,0.0811871,-0.8253614,-0.5583938],[0.0317002,0.0317002,0.8125617,0.5,-0.5,-0.5,0.5],[0.8125617,0.8125617,0.8125617,0.0,-0.0,1.0,0.0],[0.0672689,0.4139431,0.1013023,0.8213968,-0.400036,-0.3728813,-0.1619818],[0.2277713,-0.2744436,-0.0325878,0.4929329,-0.6007326,-0.6293828,0.0038499],[-0.4804619,0.5630224,-0.5630224,0.3641222,0.8487148,0.1204704,0.3641222],[0.7990275,-0.1101637,-0.1146911,0.5014033,-0.4951806,-0.5144666,-0.4885847],[0.8125617,-0.8125617,-0.8125617,0.5,0.5,-0.5,-0.5],[-0.7038491,-0.8125617,0.7038491,0.5,0.5,-0.5,-0.5],[-0.8125617,-0.0691791,0.0691791,0.5,0.5,-0.5,-0.5],[-0.1190642,0.112457,-0.7928319,0.5019149,0.4831853,-0.5211654,-0.4929503],[-0.3736452,0.1044191,-0.286245,0.8534976,0.176288,-0.2830436,0.4004382],[-0.3052157,-0.1474122,0.3965282,0.2413515,-0.4106173,-0.8446961,-0.2441955],[0.3672415,0.4065965,0.5629303,0.4750885,-0.6697934,-0.5677547,0.0576392],[0.5523914,0.2855322,0.1308148,0.3265753,-0.1834533,-0.8688641,-0.3236798],[-0.1962702,0.7122735,-0.095982,0.3789833,0.534282,-0.534282,-0.534282],[0.5629776,-0.3972633,-0.5451055,0.2156642,0.8685494,0.3252156,0.3055253]]},{"n":22,"s":"3.34340+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.343401354219,"st":3.343400290311,"cf":null,"den":0.5886,"vlb":2.80204,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n22.json","ok":true,"ver":true,"cert":["(1) containment, exact, 352 vertex/face tests: ok;  min wall gap ~ 1.000000033132e-07","(2) separation, exact, 231 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-0.5588787,-0.2878185,0.1009316,0.8536901,0.2239056,0.3313668,0.3335798],[-0.5751277,0.4276128,-0.5411316,0.8714253,0.1948542,0.2994678,0.3361083],[0.1186334,-0.548736,-0.2889703,0.1600347,0.8861177,-0.3122912,0.3027515],[-0.0178978,-0.624249,0.1878983,0.9439585,-0.2082496,0.1989065,-0.1612781],[0.0865543,-0.0738231,-0.7994291,0.9991915,0.032603,0.0092091,-0.021649],[0.8285173,-0.8285173,-0.8285173,1.0,-0.0,0.0,0.0],[0.0366363,0.0848753,0.1078253,0.0283664,0.098443,-0.7596389,0.6422251],[-0.5811207,-0.4240734,0.5811207,0.32712,-0.32712,-0.2076556,0.8618957],[-0.8285173,-0.8285173,0.8285173,1.0,-0.0,-0.0,-0.0],[-0.2760458,0.3369815,-0.0395049,0.8390925,0.4153685,-0.2044983,0.2856102],[-0.8153367,0.1259911,-0.1303999,0.9998271,0.0095661,0.0031481,0.0156302],[-0.8285173,0.8285173,-0.8285173,1.0,0.0,-0.0,-0.0],[0.225528,-0.0612068,-0.2270134,0.0085335,0.5488395,-0.4968932,-0.6721603],[-0.0842408,-0.2234795,0.3556307,0.8215218,0.3154276,0.4051715,-0.2478777],[-0.1185729,0.3159803,-0.5081351,0.8324927,0.3707505,0.3612137,-0.1975463],[0.5793179,-0.557235,-0.4048169,0.8455802,-0.3473773,0.2163293,-0.3428189],[0.5168045,0.3970997,0.5761115,0.327118,-0.8793291,-0.2292247,-0.2592878],[0.1103756,0.1076881,0.820473,0.9999362,-0.0019116,0.0095158,-0.0057791],[0.0603942,0.8285173,0.0603942,1.0,-0.0,0.0,-0.0],[0.8185233,-0.1248486,-0.1281891,0.9999012,-0.0072075,-0.0023795,0.0118331],[0.8285173,0.8285173,0.8285173,1.0,-0.0,0.0,0.0],[0.4844112,0.3013349,0.1736111,0.1451766,0.7067891,0.5313305,0.4439153]]},{"n":23,"s":"3.38259+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.3825922347085,"st":3.382591178958,"cf":null,"den":0.5943,"vlb":2.84387,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n23.json","ok":true,"ver":true,"cert":["(1) containment, exact, 368 vertex/face tests: ok;  min wall gap ~ 1.000000067104e-07","(2) separation, exact, 253 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[0.1203375,-0.5941111,-0.2672429,0.1965122,0.8607024,-0.3320951,0.3320951],[-0.1279248,-0.8423734,0.1279248,1.0,0.0,0.0,0.0],[-0.2115228,0.1427613,-0.7736119,0.9960173,-0.0514765,-0.0514765,-0.0514765],[0.8423734,-0.8423734,-0.8423734,1.0,0.0,0.0,0.0],[0.2354527,0.5921314,0.1176067,0.0009777,-0.6855929,-0.5113391,0.5181638],[-0.6042239,-0.3812576,0.6042239,0.2949084,-0.2949084,-0.2761065,0.8659233],[-0.8423734,-0.8423734,0.8423734,1.0,0.0,0.0,-0.0],[-0.3545573,0.3481067,-0.1344379,0.8575018,0.402153,-0.2893483,0.1387127],[-0.8423734,0.0136214,-0.0136214,1.0,0.0,0.0,0.0],[-0.8423734,0.8423734,-0.8423734,1.0,-0.0,0.0,-0.0],[0.4807206,-0.0775412,-0.3071257,0.1649335,-0.8546495,0.3477685,0.3484657],[-0.0846255,0.0373635,-0.0244331,0.5856377,0.8026459,-0.0414928,-0.1051967],[-0.5058231,0.5759409,-0.5900218,0.8448606,0.3735755,0.1310913,-0.3598152],[0.5909184,-0.5643932,-0.4317797,0.8387206,-0.3625798,0.1969415,-0.3553838],[0.4568985,0.558709,0.5883936,0.3170814,-0.8699097,0.1650277,-0.3398271],[0.1379154,0.1365983,0.838427,0.9999848,0.0046593,-0.0009339,0.0028122],[-0.1352664,0.8423734,-0.1352664,1.0,-0.0,-0.0,0.0],[0.8423734,0.0622654,0.0622654,1.0,0.0,-0.0,-0.0],[0.8423734,0.8423734,0.8423734,1.0,0.0,0.0,0.0],[0.0178958,-0.0976196,-0.4308233,0.4789832,0.0368089,0.6816219,-0.5519164],[-0.34954,-0.3181085,0.0817912,0.2677544,0.4144755,-0.223684,-0.8405255],[-0.103017,-0.2905631,0.5917575,0.3175242,-0.2365424,0.8614444,0.3180246],[0.2765781,0.1030731,0.2799113,0.1921719,0.8443772,-0.4358294,0.2452547]]},{"n":24,"s":"3.43388+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.4338838411483,"st":3.433882755073,"cf":null,"den":0.5927,"vlb":2.8845,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n24.json","ok":true,"ver":true,"cert":["(1) containment, exact, 384 vertex/face tests: ok;  min wall gap ~ 1.000000026081e-07","(2) separation, exact, 276 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001139e-07"],"p":[[-0.6145988,0.4432542,-0.6145988,0.8633012,0.2230555,0.3201229,0.3201229],[0.1307967,-0.6102989,-0.2470232,0.1717879,0.8597074,-0.345109,0.3350999],[-0.1256344,-0.8584691,0.1235958,0.9999969,0.0014436,0.0014436,0.0014436],[0.0925279,-0.0925279,-0.8605077,1.0,0.0,0.0,-0.0],[0.8605077,-0.8605077,-0.8605077,1.0,0.0,0.0,-0.0],[0.3128712,0.5959543,0.1454681,0.0498371,-0.6595378,-0.5265858,0.5340726],[-0.6153803,-0.4374906,0.6153803,0.3169241,-0.3169241,-0.2299928,0.8638411],[-0.8605077,-0.8605077,0.8605077,1.0,-0.0,-0.0,0.0],[-0.3545734,0.3415553,-0.0957864,0.8768854,0.3787989,-0.2115284,0.2069762],[-0.8605077,0.0090626,-0.0090626,1.0,0.0,-0.0,-0.0],[-0.8605077,0.8605077,-0.8605077,1.0,-0.0,0.0,-0.0],[0.5811883,-0.0979775,-0.2449089,0.1629403,-0.8562281,0.3466439,0.3466439],[-0.0921229,0.0503267,0.0588895,0.6173224,0.7806258,0.0614534,-0.0758935],[-0.1431353,0.3467024,-0.5650149,0.8374187,0.3541332,0.3475308,-0.2292202],[0.609051,-0.5940458,-0.4698339,0.845476,-0.357805,0.1801031,-0.3531414],[0.44443,0.614448,0.614448,0.3207715,-0.863184,0.221641,-0.3207715],[0.1534008,0.1534008,0.8605077,1.0,0.0,0.0,-0.0],[-0.1197758,0.8526234,-0.1224097,0.9999387,0.0018732,0.0056624,-0.0093258],[0.8605077,0.1223285,0.1223285,1.0,-0.0,-0.0,-0.0],[0.8605077,0.8605077,0.8605077,1.0,-0.0,-0.0,0.0],[0.0874408,-0.1169013,-0.2674951,0.5097657,0.0075604,0.6935139,-0.5090385],[-0.4015651,-0.3555686,0.1350722,0.3606552,0.4360991,-0.1469087,-0.8112726],[-0.1449879,-0.2750513,0.6185534,0.3582774,-0.2117193,0.8316693,0.3676117],[0.2728499,0.110165,0.2905686,0.2921737,0.8605655,-0.3508147,0.225811]]},{"n":25,"s":"3.48910+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.4891023581789,"st":3.489101258581,"cf":null,"den":0.5886,"vlb":2.92402,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n25.json","ok":true,"ver":true,"cert":["(1) containment, exact, 400 vertex/face tests: ok;  min wall gap ~ 1.000000037619e-07","(2) separation, exact, 300 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999769916e-08"],"p":[[-0.6260914,-0.2481998,0.1429879,0.8724153,0.1655095,0.3143735,0.3356598],[-0.6291953,0.5107319,-0.623774,0.8595478,0.1529776,0.345567,0.3440333],[0.1031995,-0.6356422,-0.2834859,0.2595811,0.8357871,-0.3395174,0.3446817],[-0.0416456,-0.7193906,0.0889021,0.9617405,-0.2140554,0.1657507,-0.0419797],[0.1101913,-0.1101913,-0.8800304,1.0,-0.0,-0.0,-0.0],[0.8800304,-0.8800304,-0.8800304,1.0,0.0,0.0,-0.0],[0.3241751,0.5971388,0.147741,0.0045407,-0.6688535,-0.5252711,0.5260272],[-0.599169,-0.4946724,0.6263734,0.3465327,-0.363038,-0.1851418,0.8448911],[-0.8800304,-0.8800304,0.8800304,1.0,0.0,0.0,0.0],[-0.3500466,0.4408527,-0.1674331,0.8670858,0.3878763,-0.2544666,0.1815515],[-0.8077994,0.1122306,-0.0896751,0.9942903,0.0573571,-0.018927,-0.0879703],[-0.8800304,0.8800304,-0.8800304,1.0,-0.0,0.0,-0.0],[0.6374532,-0.1647902,-0.272542,0.186086,-0.8304157,0.3654128,0.3771673],[-0.0562248,0.1794142,-0.0385926,0.6489889,0.7442475,0.0342853,-0.154057],[-0.1396829,0.2545759,-0.6301561,0.8557688,0.3479013,0.3479013,-0.1599661],[0.6216596,-0.6302494,-0.4825684,0.8658294,-0.3288882,0.1803975,-0.3311023],[0.4975026,0.6308713,0.6308713,0.3387566,-0.8588411,0.181328,-0.3387566],[0.1669456,0.1669456,0.8800304,1.0,-0.0,0.0,0.0],[-0.0699875,0.8800304,-0.0699875,1.0,0.0,0.0,0.0],[0.8800304,0.132553,0.132553,1.0,0.0,0.0,-0.0],[0.8800304,0.8800304,0.8800304,1.0,-0.0,-0.0,0.0],[0.1696315,-0.0776119,-0.2935948,0.442797,0.0138263,0.6843109,-0.5791875],[-0.1541462,-0.2984252,0.1272494,0.3286752,0.3357344,-0.1515669,-0.869645],[-0.106659,-0.2107858,0.6334686,0.36089,-0.1635352,0.8417632,0.3666734],[0.3604936,0.1384159,0.3115556,0.2517027,0.8719898,-0.3552167,0.2238318]]},{"n":26,"s":"3.58091+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.5809131466206,"st":3.580912024531,"cf":null,"den":0.5662,"vlb":2.9625,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n26.json","ok":true,"ver":true,"cert":["(1) containment, exact, 416 vertex/face tests: ok;  min wall gap ~ 1.000000131203e-07","(2) separation, exact, 325 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001555e-07"],"p":[[-0.6671777,-0.2228139,0.1247801,0.837362,0.1609581,0.3655738,0.3731932],[-0.6560056,0.5558517,-0.5056084,0.9012277,0.0165324,0.2746754,0.3347667],[0.1770536,-0.6662037,-0.3450305,0.2194591,0.8629984,-0.3217697,0.3217697],[-0.0692332,-0.9124904,0.0692332,1.0,-0.0,-0.0,0.0],[0.1856094,-0.1856094,-0.9124904,1.0,0.0,-0.0,0.0],[0.9124904,-0.9124904,-0.9124904,1.0,0.0,0.0,0.0],[0.3725893,0.392393,0.0923347,0.2008555,0.3391045,0.8048502,-0.4437132],[-0.6605969,-0.4901428,0.6197767,0.3119792,-0.3099118,-0.1628934,0.8832267],[-0.9124904,-0.9124904,0.9124904,1.0,-0.0,-0.0,-0.0],[-0.2610527,0.3579818,0.0166163,0.9092835,0.3415779,-0.1346402,0.1959594],[-0.9124904,0.1553972,-0.1553972,1.0,-0.0,0.0,0.0],[-0.9124904,0.9124904,-0.9124904,1.0,0.0,0.0,-0.0],[0.640669,-0.1319081,-0.2325762,0.1308943,-0.8310141,0.3774778,0.3870307],[0.0270053,0.0678983,0.0822963,0.6671718,0.7264946,0.1052943,-0.1264926],[-0.1977447,0.5496516,-0.4492886,0.8720799,0.2897565,0.3270312,-0.2203826],[0.6701967,-0.6701967,-0.4718301,0.8651311,-0.3069252,0.2512807,-0.3069252],[0.5072857,0.6562013,0.5795358,0.3987338,-0.8133692,0.1963235,-0.3753651],[0.0511905,0.0511905,0.9124904,1.0,-0.0,-0.0,-0.0],[-0.0021667,0.9124904,-0.0021667,1.0,0.0,0.0,0.0],[0.9124904,0.121432,0.121432,1.0,-0.0,0.0,-0.0],[0.9124904,0.9124904,0.9124904,1.0,0.0,-0.0,-0.0],[0.1414651,-0.1393638,-0.2516358,0.4647148,-0.0413751,0.6873504,-0.5566666],[-0.1875924,-0.4042621,0.1446559,0.3891137,0.2849177,-0.1586614,-0.8615329],[-0.1961863,-0.3534463,0.6651136,0.3270158,-0.2078873,0.8619189,0.3270158],[-0.2857953,0.0001067,-0.6268018,0.8660254,0.2886751,0.2886751,0.2886751],[0.4470363,0.2019588,0.5529326,0.0206477,0.6761433,-0.5226349,0.5188995]]},{"n":27,"s":"3.61602+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.6160276732459,"st":3.616026543596,"cf":null,"den":0.571,"vlb":3.0,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n27.json","ok":true,"ver":true,"cert":["(1) containment, exact, 432 vertex/face tests: ok;  min wall gap ~ 1.000000070950e-07","(2) separation, exact, 351 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999983634e-08"],"p":[[-0.67419,-0.1880344,0.304526,0.8574795,-0.1804305,0.3477133,0.3335704],[-0.5443275,0.6756366,-0.6756366,0.6795453,-0.0,0.5187572,0.5187572],[0.1327835,-0.6596252,-0.2653527,0.1662761,0.8650093,-0.3320802,0.3373929],[-0.1187746,-0.9249053,0.1187746,1.0,0.0,0.0,0.0],[0.0952477,-0.0952477,-0.9249053,1.0,0.0,-0.0,-0.0],[0.9249053,-0.9249053,-0.9249053,1.0,-0.0,0.0,0.0],[0.3423224,0.250069,-0.0810329,0.1700606,0.3154149,0.8352131,-0.4171474],[-0.6769322,-0.6769322,0.5264211,0.330325,-0.330325,0.2004959,0.8611459],[-0.9249053,-0.9249053,0.9249053,1.0,0.0,0.0,0.0],[-0.4230853,0.1357526,-0.2043748,0.8475303,0.3975486,-0.1540221,0.3161086],[-0.9249053,0.0680667,-0.0680667,1.0,-0.0,0.0,0.0],[-0.9249053,0.9249053,-0.9249053,1.0,0.0,0.0,0.0],[0.6755144,-0.2024892,-0.3492509,0.1863939,-0.8691946,0.3252494,0.3224452],[-0.0848311,-0.0701544,-0.0598365,0.6359982,0.7589217,0.1396173,0.0071567],[0.6277268,-0.6702779,-0.5273274,0.8770952,-0.3321548,0.1613783,-0.3071387],[0.5582424,0.6873703,0.411844,0.5379501,-0.6255443,0.1298356,-0.5499516],[0.0139939,0.0851667,0.8537325,0.9957122,-0.0534082,0.0534082,0.0534082],[0.0461331,0.9207087,0.0430323,0.9999861,0.0021992,0.0029815,-0.00375],[0.8798556,0.0266567,0.0417574,0.9978521,0.0348814,-0.0543283,0.0110884],[0.9249053,0.9249053,0.9249053,1.0,0.0,-0.0,-0.0],[0.1411903,-0.2111498,-0.3718734,0.5781311,-0.0632803,0.6724577,-0.457778],[-0.2155807,-0.3907956,0.1578011,0.3882475,0.2772509,-0.1654437,-0.8631478],[-0.1775685,-0.3230484,0.6749544,0.3210805,-0.1785233,0.8746401,0.3162933],[-0.2337149,0.18254,-0.6712891,0.850781,0.3260318,0.3806032,0.1581649],[0.6135545,0.2167191,0.5025718,0.0661637,-0.5640889,0.5665211,-0.5970594],[0.0624194,0.3685533,0.4380788,0.0902288,0.4855162,-0.7399902,-0.4566699],[-0.3324734,0.6541084,-0.1827255,0.3418741,-0.8572682,0.1764191,-0.3421837]]},{"n":28,"s":"3.68963+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.6896315853442,"st":3.689630436626,"cf":null,"den":0.5575,"vlb":3.03659,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n28.json","ok":true,"ver":true,"cert":["(1) containment, exact, 448 vertex/face tests: ok;  min wall gap ~ 1.000000038901e-07","(2) separation, exact, 378 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001139e-07"],"p":[[-0.7045274,-0.1539494,0.0566597,0.8404723,0.1554234,0.3639949,0.3700778],[-0.6929523,0.5652664,-0.5963239,0.8945112,0.0763847,0.2962015,0.3260058],[0.1992446,-0.7095101,-0.398562,0.2747013,0.8423178,-0.3265428,0.3292564],[0.0229551,-0.8283237,0.0161629,0.9806236,-0.1565309,0.1133935,-0.0318954],[0.2313331,-0.2313331,-0.9509282,1.0,0.0,-0.0,-0.0],[0.9509282,-0.9509282,-0.9509282,1.0,-0.0,0.0,-0.0],[0.4212814,0.3652777,0.0597041,0.1848584,0.3764421,0.7827949,-0.4597292],[-0.5524778,-0.1885755,0.5452974,0.1899372,-0.2385576,-0.2460432,0.9200418],[-0.9509282,-0.9509282,0.9509282,1.0,-0.0,0.0,-0.0],[-0.3308563,0.4649258,-0.097577,0.9007374,0.3463133,-0.1660791,0.2028717],[-0.9509282,0.2170344,-0.2170344,1.0,0.0,0.0,0.0],[-0.9509282,0.9509282,-0.9509282,1.0,0.0,-0.0,0.0],[0.5675478,-0.1965333,-0.2299521,0.1217425,-0.800125,0.4715749,0.3501369],[0.0454067,0.2018956,-0.005725,0.7242094,0.6613024,0.0055641,-0.1953687],[-0.2094817,0.5422795,-0.5466097,0.8731351,0.3079122,0.3100123,-0.2161424],[0.7110632,-0.7110632,-0.4977273,0.8657084,-0.2996153,0.2664778,-0.2996153],[0.5761626,0.693714,0.5584764,0.4472414,-0.797217,0.1935622,-0.3563057],[0.0955694,0.2665195,0.7799781,0.9667916,0.1475512,-0.1475512,-0.1475512],[0.0239729,0.9509282,0.0239729,1.0,0.0,0.0,-0.0],[0.9509282,0.0580346,0.0580346,1.0,-0.0,0.0,-0.0],[0.9509282,0.9509282,0.9509282,1.0,0.0,0.0,-0.0],[0.0774727,-0.1172217,-0.2825282,0.4003358,0.0379839,0.6262466,-0.6679099],[-0.2032169,-0.4192235,0.009995,0.356806,0.3486243,-0.107359,-0.8600143],[-0.0210259,-0.325957,0.6369825,0.3518339,-0.350272,0.7986906,0.3400232],[-0.2340604,0.0104166,-0.7128805,0.8636503,0.2790319,0.2968112,0.2969049],[0.5733121,0.2583075,0.5079869,0.0010206,0.6890039,-0.5125856,0.5123754],[-0.0990804,0.1858363,0.4303091,0.6689069,0.4549285,-0.5754036,-0.1204751],[-0.5530893,-0.6939213,0.6133446,0.4635299,-0.1395772,-0.7687872,0.417881]]},{"n":29,"s":"3.71166+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.7116679836423,"st":3.711666829528,"cf":null,"den":0.5671,"vlb":3.07232,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n29.json","ok":true,"ver":true,"cert":["(1) containment, exact, 464 vertex/face tests: ok;  min wall gap ~ 1.000000166458e-07","(2) separation, exact, 406 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001417e-07"],"p":[[-0.7248664,-0.1097407,0.0615775,0.8103784,0.1250225,0.3943325,0.4149195],[0.2192486,-0.689299,-0.3628501,0.1703473,0.8573277,-0.3434902,0.3434902],[-0.0105434,-0.9587192,0.0105434,1.0,-0.0,0.0,0.0],[0.1673977,-0.1673977,-0.9587192,1.0,0.0,0.0,-0.0],[0.9587192,-0.9587192,-0.9587192,1.0,0.0,0.0,-0.0],[0.5659799,0.1024476,-0.0071731,0.1578601,0.395765,0.7328123,-0.5305057],[-0.5902431,-0.227713,0.5961891,0.2245182,-0.2245182,-0.2245182,0.9212897],[-0.9587192,-0.9587192,0.9587192,1.0,0.0,0.0,0.0],[-0.4049924,0.5204534,-0.231985,0.8773275,0.378763,-0.1841395,0.2300603],[-0.9587192,0.2516123,-0.2516123,1.0,-0.0,-0.0,-0.0],[-0.9587192,0.9587192,-0.9587192,1.0,0.0,-0.0,-0.0],[0.3779215,-0.2503421,-0.4641435,0.0523134,0.6792116,-0.4124103,-0.6048575],[-0.0040438,0.3550165,0.0574911,0.7068664,0.6379244,0.0586567,-0.2999195],[-0.4873146,0.7230169,-0.7230169,0.8660254,0.2886751,0.2886751,-0.2886751],[0.7089158,-0.7089158,-0.5911478,0.8562894,-0.3464735,0.1633423,-0.3464735],[0.4562979,0.727353,0.2249317,0.5760211,-0.5760211,0.0678169,-0.5760211],[0.2144496,0.2144496,0.9587192,1.0,0.0,-0.0,0.0],[-0.0681835,0.9587192,-0.0681835,1.0,-0.0,-0.0,-0.0],[0.9531045,-0.2516572,-0.2572719,0.9999762,-0.0039862,-0.0039862,0.0039862],[0.9587192,0.9587192,0.9587192,1.0,0.0,0.0,-0.0],[-0.0513472,0.0865791,-0.3438539,0.2275371,-0.1028159,0.77479,-0.5808238],[-0.2938853,-0.2766455,-0.1306289,0.3425993,0.262817,0.100919,-0.8963081],[-0.1103729,-0.3495831,0.7021667,0.3608291,-0.3460915,0.789249,0.3565235],[-0.364517,0.293254,-0.753228,0.7576272,0.4090765,0.4463333,0.2438115],[0.6046919,0.1796986,0.4019807,0.0542522,0.650637,-0.5566218,0.5137123],[-0.1398222,0.2116277,0.4149713,0.7298483,0.4322744,-0.4987347,-0.1781125],[-0.5645081,-0.7168839,0.4678367,0.4706725,-0.1809859,-0.6938314,0.5141104],[0.0351864,-0.334626,0.3183419,0.2801852,0.4842737,0.7505263,-0.3516895],[0.4706578,0.7059581,0.723419,0.0206509,0.5772271,-0.5772271,-0.5772271]]},{"n":30,"s":"3.75412+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.7541284747658,"st":3.754127310253,"cf":null,"den":0.567,"vlb":3.10723,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n30.json","ok":true,"ver":true,"cert":["(1) containment, exact, 480 vertex/face tests: ok;  min wall gap ~ 1.000000107487e-07","(2) separation, exact, 435 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001139e-07"],"p":[[-0.7292277,-0.1071031,0.0622398,0.8306546,0.1169612,0.371941,0.3974832],[-0.7171228,0.568218,-0.6218294,0.8987193,0.0866038,0.2948076,0.3128767],[0.2433378,-0.7263397,-0.3805031,0.1796694,0.8670732,-0.3298689,0.3272454],[-0.0193338,-0.9737313,0.0193338,1.0,0.0,0.0,-0.0],[0.2194468,-0.2194468,-0.9737313,1.0,0.0,-0.0,-0.0],[0.9737313,-0.9737313,-0.9737313,1.0,-0.0,-0.0,-0.0],[0.6002452,0.1602794,0.0079357,0.1734902,0.3848706,0.7804705,-0.4611307],[-0.6028914,-0.2395429,0.6103828,0.2215743,-0.2215743,-0.2215743,0.9234254],[-0.9737313,-0.9737313,0.9737313,1.0,0.0,0.0,0.0],[-0.3633232,0.4944893,-0.1354559,0.8950893,0.3555098,-0.2008688,0.1791079],[-0.9737313,0.222718,-0.222718,1.0,0.0,0.0,-0.0],[-0.9737313,0.9737313,-0.9737313,1.0,-0.0,0.0,0.0],[0.4509605,-0.2578804,-0.3848024,0.0077333,-0.767682,0.3725292,0.5213699],[0.0015166,0.3430258,0.0800607,0.7150823,0.6397571,0.0753596,-0.2714573],[-0.2591375,0.5525442,-0.5829512,0.8639248,0.327078,0.3279162,-0.1978001],[0.7248269,-0.7248269,-0.5871126,0.8594732,-0.3366151,0.186243,-0.3366151],[0.4585043,0.7376056,0.2426646,0.5674407,-0.5688569,0.0486263,-0.5933366],[0.2250382,0.2250382,0.9737313,1.0,0.0,-0.0,0.0],[-0.0376595,0.9737313,-0.0376595,1.0,-0.0,-0.0,-0.0],[0.9737313,-0.2360193,-0.2360193,1.0,0.0,-0.0,-0.0],[0.9737313,0.9737313,0.9737313,1.0,0.0,0.0,0.0],[0.060745,0.0376748,-0.2055656,0.3209984,-0.0621194,0.6760292,-0.6603679],[-0.2999486,-0.3178183,-0.1000456,0.3218739,0.2644291,0.069912,-0.9064143],[-0.1294188,-0.3432066,0.7494711,0.3584765,-0.3512795,0.7895466,0.3531479],[-0.2430028,0.0076123,-0.7169,0.8623613,0.274254,0.3008241,0.301036],[0.6000599,0.2070847,0.4400083,0.0205841,0.6716315,-0.5379887,0.508975],[-0.1459832,0.1966702,0.4416207,0.7221209,0.4348879,-0.5041224,-0.1878153],[-0.5764455,-0.7288232,0.4979838,0.4489296,-0.1888777,-0.7140413,0.502924],[0.0286621,-0.3514867,0.3639046,0.303211,0.4716674,0.7475111,-0.3561181],[0.5176075,0.7344831,0.7344831,0.0,-0.5957715,0.5679156,0.5679156]]},{"n":31,"s":"3.82327+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.823272139316,"st":3.823270957861,"cf":null,"den":0.5547,"vlb":3.14138,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n31.json","ok":true,"ver":true,"cert":["(1) containment, exact, 496 vertex/face tests: ok;  min wall gap ~ 1.000000072873e-07","(2) separation, exact, 465 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[0.7935649,0.4004808,0.2314086,0.5569848,0.596085,-0.5473371,0.1867425],[-0.0474153,0.9981773,-0.0474153,0.0,0.0,0.0,-1.0],[0.0797574,-0.9981773,-0.0797574,0.5,-0.5,0.5,0.5],[-0.2766408,-0.2766408,0.9981773,0.0,-0.0,0.0,1.0],[-0.7470057,-0.2154065,0.3144499,0.0504508,-0.5094568,0.6214571,0.5930427],[-0.8777362,0.1179288,-0.1564713,0.3742521,0.6384784,-0.4537203,0.4964056],[0.9981773,-0.9981773,-0.9981773,1.0,0.0,0.0,0.0],[-0.9981773,0.9981773,-0.9981773,0.5,-0.5,0.5,-0.5],[-0.5195947,-0.7552234,0.7625486,0.8615733,0.2930822,-0.2930822,0.2930822],[0.3250576,-0.6670996,-0.420433,0.1300153,-0.4368517,-0.371844,-0.8086957],[-0.0342513,0.445361,-0.1705244,0.8600896,-0.1740358,0.3587414,-0.3182168],[0.9981773,-0.2910703,-0.2910703,0.5,0.5,0.5,0.5],[0.7402425,-0.6130728,-0.6539423,0.3089008,-0.8347676,0.216966,0.4008355],[-0.9981773,-0.9981773,0.9981773,0.0,-1.0,-0.0,0.0],[0.3018711,-0.2955468,-0.9831615,0.494849,-0.5100125,0.4944289,0.5005515],[0.9981773,0.9981773,0.9981773,0.5,-0.5,-0.5,0.5],[-0.1041062,0.0711649,0.5873249,0.2698394,-0.3572467,0.0871996,0.8899201],[-0.5302065,0.4828642,-0.1526136,0.3280655,0.3160672,0.8806815,0.1299023],[-0.7549466,0.5629064,-0.7549466,0.6200275,0.5547819,0.0,-0.5547819],[0.3639945,-0.2328214,0.2520379,0.239136,-0.9555922,-0.1709956,-0.0204456],[-0.4566953,-0.7705738,0.2995741,0.368039,0.7997454,-0.3803164,0.2833972],[0.343775,0.0742654,-0.3405474,0.0716686,-0.5300833,-0.7183348,-0.4448261],[0.7597405,0.7567377,0.7540691,0.0047679,-0.4107509,0.8114557,-0.415693],[0.0660869,-0.3751288,-0.1466158,0.3248738,-0.3655429,0.8541859,-0.1766401],[-0.248873,0.5644709,-0.6825794,0.2881867,0.2881867,-0.2881867,-0.8665132],[0.172439,0.6730893,0.2497485,0.3271908,0.3923325,-0.8545145,-0.0939485],[-0.1708374,0.1716343,-0.7616781,0.2353035,-0.4714043,0.4722016,-0.7067078],[-0.2507076,-0.3285231,0.3509615,0.5173179,0.8105851,0.2457472,0.1222383],[-0.4672714,-0.2535414,-0.1907983,0.2147633,0.9398917,-0.1149951,0.2392833],[0.428474,0.1572371,0.1126976,0.8209386,0.2836103,-0.4031828,-0.2882162],[0.4341947,0.3215085,0.8747223,0.5354118,0.541146,0.5485268,-0.345852]]},{"n":32,"s":"3.85384+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.8538419910825,"st":3.853840802146,"cf":null,"den":0.5591,"vlb":3.1748,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n32.json","ok":true,"ver":true,"cert":["(1) containment, exact, 512 vertex/face tests: ok;  min wall gap ~ 1.000000066463e-07","(2) separation, exact, 496 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001555e-07"],"p":[[-0.7636784,-0.4742392,0.2289323,0.9890786,-0.0850951,-0.0850951,-0.0850951],[-0.773283,0.773283,-0.773283,0.4082483,-0.4082483,-0.0,-0.8164966],[-0.9762798,0.2982147,-0.2714132,0.999138,0.0239204,-0.0194331,-0.0278109],[-1.0089853,1.0089853,-1.0089853,1.0,-0.0,0.0,0.0],[0.4696968,-0.469704,-0.1889217,0.5813804,-0.0502651,0.4593365,-0.6696866],[-0.0589416,-0.3122877,0.1855414,0.6076377,0.4682522,-0.640422,0.0370937],[-1.0089853,-1.0089853,1.0089853,1.0,0.0,0.0,0.0],[-0.0080461,0.1416844,-0.5273854,0.840373,-0.2558307,0.2419844,0.4120283],[-0.4739391,-0.2663801,-0.2482611,0.7856516,-0.3674479,-0.3632682,-0.3402496],[-0.2334014,0.2334014,-1.0089853,1.0,-0.0,0.0,0.0],[1.0089853,-0.2657224,-0.2657224,0.0,1.0,0.0,-0.0],[-0.1094532,-0.7518986,0.1670047,0.7888088,0.1176863,-0.4430162,0.409472],[0.773283,-0.773283,-0.773283,0.8164966,-0.0,-0.4082483,0.4082483],[1.0089853,-1.0089853,-1.0089853,1.0,0.0,0.0,-0.0],[0.1536837,0.3371722,0.3654428,0.2595162,0.1086436,0.878533,-0.386041],[-0.3727017,-0.3627471,0.904937,0.5431585,-0.4806471,-0.3993467,0.5607846],[-0.7670241,-0.7443679,0.7670241,0.8280949,0.0370358,-0.3955295,-0.3955295],[-0.1531776,0.736928,0.0801058,0.8675534,0.2854071,-0.2723366,-0.3028642],[-0.4940077,0.0547888,0.2888217,0.8239204,0.1371236,-0.3820147,-0.395496],[0.1151574,-0.2599055,0.6339224,0.9184339,0.2283851,-0.2283851,0.2283851],[0.4801187,0.1968298,-0.3058785,0.8895131,0.2732836,0.2751602,-0.2415974],[0.773283,0.773283,0.773283,0.4082483,-0.8164966,0.0,-0.4082483],[0.2049927,0.2937279,0.9202502,0.9930781,-0.0678132,0.0678132,0.0678132],[0.3018784,1.0089853,0.3018784,1.0,0.0,-0.0,-0.0],[0.8843682,0.3298855,0.4545026,0.985035,-0.0995087,0.0995087,-0.0995087],[1.0089853,1.0089853,1.0089853,1.0,0.0,-0.0,0.0],[-0.3498878,0.8838886,-0.4262225,0.1077069,-0.1321569,-0.9834301,-0.0616368],[-0.3073284,0.281799,-0.2849659,0.0721437,0.0721678,-0.6395028,-0.7619864],[0.5229969,0.1155252,0.1669806,0.451893,0.7103907,0.5163278,-0.1566631],[0.1256104,-0.8992113,-0.1337212,0.4009869,0.5161025,0.4956863,0.571964],[0.3593673,-0.4116045,-0.8851562,0.5016105,-0.5721237,0.5449808,-0.3522176],[0.1119745,-0.3050039,-0.5693414,0.3833809,0.8657339,-0.3057284,-0.1002702]]},{"n":33,"s":"3.89213+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.8921390690404,"st":3.892137870715,"cf":null,"den":0.5597,"vlb":3.20753,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n33.json","ok":true,"ver":true,"cert":["(1) containment, exact, 528 vertex/face tests: ok;  min wall gap ~ 1.000000092103e-07","(2) separation, exact, 528 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[-0.8998165,-0.3113513,0.2931536,0.9866666,-0.1036782,-0.1246093,-0.0145729],[-1.0225254,0.3154184,-0.3154184,1.0,0.0,-0.0,-0.0],[-1.0225254,1.0225254,-1.0225254,1.0,0.0,0.0,-0.0],[0.3429533,-0.2940769,-0.3317242,0.4087839,0.084615,0.5671217,-0.7100063],[-0.0207473,-0.3113501,0.1282871,0.5737828,0.488658,-0.6571487,-0.0119287],[-1.0225254,-1.0225254,1.0225254,1.0,-0.0,0.0,0.0],[-0.0048874,0.3018029,-0.4669677,0.8795815,-0.1553546,0.2539774,0.3710752],[-0.4726007,-0.2411515,-0.2162925,0.8029658,-0.387478,-0.3722083,-0.2580071],[-0.2634264,0.2634264,-1.0225254,1.0,-0.0,-0.0,-0.0],[0.7804997,-0.5218019,-0.5284274,0.4291675,-0.7970785,0.0352781,-0.4233634],[0.0835732,-0.7051867,-0.0348447,0.712042,0.1060935,-0.5472564,0.4269084],[0.4168471,-0.3517494,-0.9238584,0.9905703,-0.0505681,-0.0988259,0.0802918],[1.0225254,-1.0225254,-1.0225254,1.0,0.0,0.0,0.0],[0.1953272,0.3256115,0.4603773,0.268877,0.0960106,0.8832192,-0.3720363],[-0.3638446,-0.3973578,0.9198736,0.5899361,-0.4875867,-0.3708404,0.5260342],[-0.7657097,-0.7820656,0.7820656,0.7980024,-0.0,-0.4261409,-0.4261409],[-0.1224489,0.6855093,0.1500508,0.8805558,0.3001644,-0.2968835,-0.215367],[-0.4475016,-0.0438458,0.3623849,0.754622,-0.0313945,-0.442062,-0.4838815],[0.0559526,-0.2412613,0.5285536,0.9381552,0.1899766,-0.2840499,-0.0555824],[0.4788465,0.1989195,-0.2243547,0.8115763,0.3912325,0.3746193,-0.2189553],[1.0141789,-0.2461803,-0.2545268,0.9999471,0.0059374,0.0059374,-0.0059374],[0.7868231,0.7868231,0.7868231,0.4082483,-0.8164966,-0.0,-0.4082483],[0.2482492,0.2482492,1.0225254,1.0,-0.0,-0.0,0.0],[0.3240328,0.9308044,0.2795531,0.9973048,0.0337373,0.0650459,0.0037428],[0.920884,0.3460528,0.4169381,0.9900859,-0.0825541,0.0552305,-0.0993194],[1.0225254,1.0225254,1.0225254,1.0,0.0,-0.0,0.0],[-0.2726153,-1.0225254,0.2726153,0.0,0.0,-1.0,0.0],[-0.3440018,0.978469,-0.3292328,0.034042,0.0531002,-0.99795,0.0108342],[-0.433348,0.2766889,-0.17965,0.3324381,0.1905651,-0.5962352,-0.7054597],[0.5860424,0.0894197,0.22708,0.4266996,0.7631499,0.4714692,-0.1150933],[0.3888082,-0.8769985,-0.2573892,0.4217061,0.4414621,0.4350476,0.6618223],[0.0855799,-0.1731697,-0.7609403,0.4852095,-0.4714852,0.7350018,-0.0452307],[-0.7868231,0.5511208,-0.5511208,0.4082483,0.8164966,0.0,-0.4082483]]},{"n":34,"s":"3.92757+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.9275735823705,"st":3.927572375367,"cf":null,"den":0.5612,"vlb":3.23961,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n34.json","ok":true,"ver":true,"cert":["(1) containment, exact, 544 vertex/face tests: ok;  min wall gap ~ 1.000000072873e-07","(2) separation, exact, 561 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999998518140e-08"],"p":[[-0.6907976,0.7772003,-0.6483984,0.4001286,-0.3078501,-0.2188245,-0.8350097],[-0.900335,0.2440402,-0.3787586,0.9819703,-0.1091394,-0.1091394,-0.1091394],[-1.0350534,1.0350534,-1.0350534,1.0,0.0,-0.0,0.0],[0.3521408,-0.3821366,-0.330215,0.3671153,0.0661063,0.6266076,-0.6842655],[-0.0701063,-0.371723,0.1322538,0.5775551,0.4978837,-0.6468413,0.0117576],[-1.0350534,-1.0350534,1.0350534,1.0,-0.0,-0.0,-0.0],[0.0817481,0.2287874,-0.4670517,0.8429747,-0.2321553,0.2559527,0.4122933],[-0.508991,-0.2724331,-0.1759008,0.808795,-0.3756772,-0.3639381,-0.2688241],[-0.2035582,0.1863967,-1.0167982,0.9997426,-0.0138469,-0.0122994,-0.0131035],[0.7955625,-0.431523,-0.4298659,0.4079955,-0.8159972,0.0070805,-0.4094364],[0.0489893,-0.7656562,-0.0378123,0.6920428,0.0991965,-0.5573046,0.4479379],[0.455027,-0.3810931,-0.881743,0.9708276,-0.063311,-0.1801057,0.1450771],[0.9428872,-1.0197207,-0.9582199,0.9998197,0.010964,0.010964,0.010964],[0.1889272,0.281392,0.4737141,0.2420524,0.0788277,0.8803907,-0.4001363],[-0.3979906,-0.3683678,0.9452437,0.4126253,-0.5012377,-0.466375,0.600829],[-0.7978557,-0.7931895,0.7978557,0.8191214,0.0079784,-0.4055715,-0.4055715],[-0.1310319,0.7116251,0.1609294,0.8789956,0.2884432,-0.2871899,-0.2483732],[-0.4608837,0.0370602,0.329431,0.7689584,0.1173576,-0.4205093,-0.467014],[-0.0008891,-0.2278696,0.523414,0.9331716,0.1550868,-0.3202909,-0.0505223],[0.5130924,0.1977059,-0.1535227,0.8620531,0.3468502,0.3555746,-0.1006283],[1.0289475,-0.1902503,-0.1963562,0.9999718,0.0043365,0.0043365,-0.0043365],[0.7993511,0.7993511,0.7993511,0.4082483,-0.8164966,-0.0,-0.4082483],[0.2591153,0.2582774,1.0342156,0.9999995,-0.0005928,0.0005928,-0.0005928],[0.3404937,0.9029964,0.2620514,0.9936377,0.0609145,0.0935554,-0.0148629],[0.9099186,0.3756198,0.4528187,0.9834756,-0.1075796,0.0623223,-0.131599],[1.0350534,1.0350534,1.0350534,1.0,-0.0,0.0,0.0],[-0.3531759,-0.9701522,0.3140111,0.046043,0.0290768,-0.9984757,-0.0089891],[-0.3273024,1.0344117,-0.3266607,0.000454,0.000454,-0.9999997,0.000454],[-0.3031141,0.2759785,-0.2463072,0.1941861,0.0772047,-0.6738462,-0.7087048],[0.5457138,0.1025264,0.2538906,0.4159149,0.7226363,0.5363782,-0.1308052],[0.3883547,-0.8883331,-0.2416344,0.4283214,0.4283214,0.4283214,0.6705388],[0.0826657,-0.2461157,-0.774099,0.5343499,-0.525317,0.6594892,-0.0598853],[-0.5733324,0.3689837,-0.5977916,0.4490154,0.7971374,-0.1787306,-0.3619565],[-1.0191665,-0.2784056,0.2942925,0.5055856,-0.5055856,-0.5055856,-0.4828555]]},{"n":35,"s":"3.95251+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.9525103151339,"st":3.952509102022,"cf":null,"den":0.5668,"vlb":3.27107,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n35.json","ok":true,"ver":true,"cert":["(1) containment, exact, 560 vertex/face tests: ok;  min wall gap ~ 1.000000085693e-07","(2) separation, exact, 595 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999998917820e-08"],"p":[[-0.3895937,-0.4528755,0.3697671,0.1816552,0.1430118,-0.4216279,0.8768004],[-1.0438699,-1.0438699,1.0438699,1.0,-0.0,-0.0,0.0],[-0.7032538,-0.1120507,-0.0165988,0.5325174,0.7045237,-0.0393133,-0.4674677],[-0.9770458,-0.3287795,0.3368744,0.9980595,-0.0488054,-0.0381959,0.00603],[-0.8081675,0.5724652,-0.5724652,0.0,-0.8164966,0.4082483,-0.4082483],[-1.0438699,1.0438699,-1.0438699,1.0,-0.0,0.0,0.0],[0.405356,-0.4116599,-0.35824,0.0743476,0.1785251,-0.8385523,0.5093439],[0.1412923,-0.7692846,0.099493,0.8604845,0.3077836,-0.2815127,0.2925514],[-0.2831472,-0.8340207,0.220211,0.935866,-0.0425658,-0.2216949,-0.2705445],[-0.1097144,0.1017593,-0.7981357,0.7956172,0.0193871,0.4188536,0.4372402],[-0.1571411,-0.4486138,-0.4381149,0.8517315,-0.3025191,-0.3025191,-0.3025191],[-0.3680898,0.3359184,-1.0104525,0.9991176,0.0233358,0.0250979,0.024281],[0.5724518,-0.5724248,-0.8081137,0.4082133,-0.40819,-4.66e-05,-0.8165432],[0.3485024,-1.0116923,-0.3592914,0.9989322,0.038529,0.0242633,0.0078272],[0.3366821,-0.3367629,-1.0437891,1.0,-5.71e-05,-5.71e-05,-5.71e-05],[1.0438699,-1.0438699,-1.0438699,1.0,0.0,-0.0,-0.0],[0.408677,0.2831406,0.4867712,0.0265571,-0.2289247,0.4214812,-0.8770643],[0.1789792,0.8490434,0.1132606,0.5219865,0.4808773,-0.6762461,-0.1974293],[-0.5194061,0.3650375,0.0611067,0.8611187,-0.1995543,0.3306349,0.3306558],[-0.3368997,1.043733,-0.3367629,1.0,-9.68e-05,9.68e-05,9.68e-05],[0.819058,0.0978192,0.1316359,0.1293528,0.7943333,-0.4344854,-0.4043821],[0.43535,-0.3061949,0.302325,0.9998937,0.0084167,-0.0084167,0.0084167],[0.3886711,0.2552828,-0.3816374,0.9051781,0.2515831,0.2538063,-0.230089],[0.9483462,-0.3067211,-0.4022447,0.9918513,0.0735552,0.0735552,-0.0735552],[0.8042134,0.7935545,0.5787636,0.5665384,-0.5977923,-0.0132387,-0.5670127],[0.3250105,0.3250105,1.0438699,1.0,-0.0,0.0,0.0],[0.2820119,0.8106383,0.5152435,0.8904859,0.2627006,-0.2627006,-0.2627006],[1.0438699,1.0438699,1.0438699,1.0,-0.0,0.0,0.0],[-0.4101031,0.4600555,-0.5065945,0.4839925,-0.1960824,0.8433725,0.1265932],[-0.1094275,-0.1687159,0.2816263,0.6883301,-0.0397122,-0.2124774,0.6924434],[0.0067328,0.3813961,0.0629652,0.3037609,-0.9074633,-0.1974761,-0.2127038],[-0.793883,-0.686683,0.793883,0.351732,0.8542946,0.1508306,-0.351732],[-0.3442225,-0.4128321,0.9752602,0.5236957,0.5236957,0.5236957,0.4209852],[-0.1501487,0.0920957,0.7981457,0.2863666,-0.8697371,0.2820759,-0.2863297],[-1.0438699,0.3367629,-0.3367629,0.0,-0.0,-0.0,-1.0]]},{"n":36,"s":"3.97136+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.9713667313974,"st":3.971365513672,"cf":null,"den":0.5748,"vlb":3.30193,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n36.json","ok":true,"ver":true,"cert":["(1) containment, exact, 576 vertex/face tests: ok;  min wall gap ~ 1.000000106205e-07","(2) separation, exact, 630 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999992939269e-08"],"p":[[-0.4247124,-0.4208529,0.3744248,0.204757,0.1532034,-0.4230668,0.8692628],[-1.0505366,-1.0505366,1.0505366,1.0,0.0,0.0,-0.0],[-0.6746122,-0.1755544,0.0815877,0.4231278,0.8381591,-0.1285184,-0.3192728],[-1.031334,-0.3566634,0.3502332,0.999629,-0.0141052,-0.0228391,-0.0046136],[-0.8148344,0.5790859,-0.5791777,0.0003181,0.8164964,-0.4082086,0.4082881],[-1.0505366,1.0505366,-1.0505366,1.0,-0.0,-0.0,0.0],[0.3807014,-0.4493071,-0.3888794,0.1361349,0.1538546,-0.8887503,0.4097792],[0.0865101,-0.8079515,0.1112245,0.8762261,0.2966255,-0.2390355,0.2951324],[-0.330617,-0.8617753,0.2492436,0.9524178,-0.0685172,-0.1895143,-0.2286704],[-0.1206245,0.0996939,-0.7978147,0.8076318,0.0215834,0.4109574,0.4223494],[-0.12499,-0.3480091,-0.4055384,0.74864,-0.4211913,-0.1975659,-0.4723386],[-0.357342,0.3429776,-1.0249794,0.9996247,0.0222735,0.0146424,0.0063212],[0.5787122,-0.579567,-0.8148315,0.4064302,-0.4071496,0.0014688,-0.8179496],[0.3481619,-1.0433396,-0.3459615,0.9999838,0.0019984,0.0050931,-0.0015639],[0.3409107,-0.3421669,-1.0467516,0.9999956,0.0009056,-0.0008906,-0.0026772],[1.0505366,-1.0505366,-1.0505366,1.0,-0.0,-0.0,0.0],[0.4059198,0.2969307,0.4918743,0.0310046,-0.2385025,0.4108656,-0.8794002],[0.1565859,0.8516742,0.0957998,0.5177112,0.4759826,-0.6864683,-0.1848703],[-0.5259764,0.3764761,0.0760505,0.863443,-0.2255184,0.3190728,0.3190614],[-0.3432921,1.0505366,-0.3432921,1.0,0.0,0.0,-0.0],[0.8052796,0.0337923,0.0864991,0.0891107,0.83526,-0.385517,-0.381807],[0.3891884,-0.2873348,0.268254,0.9946969,0.0248603,-0.0979597,-0.0190759],[0.3915894,0.2349634,-0.4239838,0.908236,0.241597,0.241597,-0.241597],[1.0021394,-0.3384524,-0.3868496,0.9981021,0.0355535,0.0355535,-0.0355535],[0.8124844,0.8124844,0.5889908,0.5712811,-0.5893011,-0.0,-0.5712811],[0.33638,0.33638,1.0505366,1.0,-0.0,0.0,0.0],[0.3092427,0.8123399,0.5274577,0.8547229,0.308045,-0.2836938,-0.3067162],[1.0491297,0.3434325,0.3448394,0.9999985,-0.0009958,0.0009958,-0.0009958],[1.0505366,1.0505366,1.0505366,1.0,-0.0,-0.0,-0.0],[-0.4185238,0.4587046,-0.510053,0.4811689,-0.1991641,0.8452921,0.1195465],[-0.127323,-0.1544893,0.2891212,0.6947747,-0.0570687,-0.1992959,0.6887034],[0.0160723,0.3937592,0.0320978,0.3244586,-0.9025037,-0.1868087,-0.2128762],[-0.7225612,-0.6952097,0.7922545,0.3640846,0.8735883,0.1346821,-0.2935073],[-0.3403448,-0.367538,1.0189681,0.5126522,0.5093684,0.5064488,0.4703628],[-0.1360337,0.1206306,0.7938723,0.2893302,-0.8653693,0.2893302,-0.2893302],[-1.0503988,0.3431539,-0.3432917,9.75e-05,-9.75e-05,9.75e-05,1.0]]},{"n":37,"s":"3.99818+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.9981820667483,"st":3.998180842462,"cf":null,"den":0.5789,"vlb":3.33222,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n37.json","ok":true,"ver":true,"cert":["(1) containment, exact, 592 vertex/face tests: ok;  min wall gap ~ 1.000000067745e-07","(2) separation, exact, 666 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999996714027e-08"],"p":[[-0.5208446,-0.4948947,0.3762228,0.2581966,0.1250439,-0.4460881,0.8477641],[-1.0600173,-1.0600173,1.0600173,1.0,-0.0,0.0,-0.0],[-0.8733732,0.1901022,-0.141044,0.211532,0.9412095,0.0475407,-0.2590728],[-1.0600173,-0.343145,0.343145,1.0,0.0,-0.0,-0.0],[-0.7846752,0.8128675,-0.6168049,0.3128629,-0.8731606,0.2801489,-0.2474348],[-1.0600173,1.0600173,-1.0600173,1.0,0.0,0.0,-0.0],[0.4075236,-0.4320611,-0.3932012,0.1095552,0.1051089,-0.8483174,0.5072547],[0.0995747,-0.7850843,0.1041806,0.8842564,0.2991433,-0.2045668,0.2945441],[-0.297601,-0.9407665,0.259379,0.9818608,-0.0309758,-0.1093408,-0.1517711],[-0.020831,0.0941587,-0.6808904,0.8633321,-0.1752955,0.2940821,0.3707356],[-0.1623117,-0.415634,-0.3774755,0.9042847,-0.1800136,-0.2554349,-0.2908905],[-0.3083733,0.3083733,-1.0600173,1.0,0.0,0.0,0.0],[0.8230314,-0.5929543,-0.8232083,0.5828601,-0.5745765,-0.0002187,-0.5745745],[0.3495865,-1.0597563,-0.3493256,0.9999999,0.0001845,-0.0001845,0.0001845],[0.3993044,-0.4537968,-0.8592971,0.9282375,0.0558026,0.2806128,0.2377345],[1.0600173,-1.0600173,-1.0600173,1.0,0.0,-0.0,-0.0],[0.3626022,0.3252196,0.4332613,0.0821825,-0.263878,0.4059614,-0.8710969],[0.0593779,-0.10793,0.8136092,0.5407654,-0.5408623,-0.0008082,0.6442361],[-0.3542455,-0.3535817,1.058027,0.9999961,0.0004701,-0.0023477,-0.0014129],[0.1722213,0.8766563,0.1231129,0.5196004,0.4716835,-0.6777152,-0.2196184],[-0.3711985,0.3229796,0.314848,0.5945753,-0.4937432,0.4622471,0.4347708],[-0.3529103,1.0600173,-0.3529103,1.0,0.0,-0.0,-0.0],[0.7673048,0.0434908,0.0831152,0.1699974,0.8304115,-0.3843565,-0.36577],[0.388304,-0.2920227,0.3085841,0.9971492,-0.0027353,-0.050929,-0.0556075],[0.4880253,0.1608359,-0.3679101,0.827289,0.3437738,0.3392601,-0.2869061],[1.0545685,-0.3563978,-0.3545786,0.9999709,0.0038944,-0.0064376,0.0012914],[0.8174457,0.824381,0.5818095,0.57733,-0.57733,0.0083729,-0.57733],[0.3321217,0.3434897,1.0329537,0.9995849,-0.0141928,0.0249479,0.0025026],[0.2866068,0.8256266,0.5116726,0.893492,0.2626608,-0.2515673,-0.2634298],[1.0246465,0.3479081,0.3832788,0.999009,-0.0256967,0.0256967,-0.0256967],[1.0600173,1.0600173,1.0600173,1.0,-0.0,0.0,0.0],[-0.1956705,0.4717164,-0.4433035,0.3976632,-0.3761955,0.8247146,0.1420803],[-0.1982996,-0.2361835,0.341196,0.7381483,-0.0777634,-0.2035183,0.6384906],[-0.0407246,0.3996245,-0.0376963,0.6365957,-0.7341739,-0.1958583,-0.1318107],[-0.690579,-0.7014869,0.7975523,0.3700215,0.8831757,0.1323744,-0.2560503],[-0.4415186,0.0199591,-0.1519875,0.8648342,-0.3195096,-0.2971086,0.2483986],[-0.8275112,0.2992443,-0.5317503,0.317298,-0.8354435,-0.317298,0.317298]]},{"n":38,"s":"4.03555+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.0355520664802,"st":4.035550833031,"cf":null,"den":0.5782,"vlb":3.36198,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n38.json","ok":true,"ver":true,"cert":["(1) containment, exact, 608 vertex/face tests: ok;  min wall gap ~ 1.000000153638e-07","(2) separation, exact, 703 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999256438e-08"],"p":[[-0.497036,-0.575173,0.4007619,0.1849942,0.1725175,-0.4210834,0.871036],[-1.0732296,-1.0732296,1.0732296,1.0,0.0,0.0,0.0],[-0.8327722,-0.034982,0.0515067,0.3226743,0.8665339,0.0759949,-0.3731287],[-1.0732296,-0.3661226,0.3661226,1.0,0.0,0.0,0.0],[-0.7160753,0.8147222,-0.7004719,0.3628093,-0.8814007,0.2592957,-0.155782],[-0.9560529,0.2737753,-0.3909519,0.9870432,-0.0926386,-0.0926386,-0.0926386],[-1.0732296,1.0732296,-1.0732296,1.0,0.0,-0.0,-0.0],[0.4437155,-0.4700328,-0.3971652,0.115696,0.1277362,-0.8417492,0.5116211],[0.1070945,-0.8012298,0.0953383,0.8887307,0.2939852,-0.2012334,0.2885057],[-0.2695441,-0.9191234,0.2233435,0.9657384,-0.0403332,-0.1557659,-0.2036164],[0.0549521,0.0755987,-0.6838802,0.8690555,-0.1909005,0.2443333,0.3854878],[-0.1179463,-0.4240374,-0.377552,0.9027073,-0.1747591,-0.239991,-0.311421],[-0.2640745,0.2640745,-1.0732296,1.0,0.0,0.0,-0.0],[0.8375331,-0.5997829,-0.8354793,0.5773485,-0.5773485,0.0025046,-0.5773485],[0.3661226,-1.0732296,-0.3661226,1.0,0.0,-0.0,0.0],[0.4075678,-0.4825862,-0.8650947,0.9286522,0.0769009,0.2732026,0.238855],[1.0732296,-1.0732296,-1.0732296,1.0,-0.0,0.0,-0.0],[0.4206648,0.3352499,0.4490793,0.0623382,-0.2933464,0.4331503,-0.8499662],[0.105282,-0.1304203,0.8375272,0.5773503,-0.5773503,0.0,0.5773503],[-0.3661226,-0.3661226,1.0732296,1.0,-0.0,0.0,0.0],[0.190793,0.9049427,0.1425568,0.5244559,0.4759079,-0.6587496,-0.2539818],[-0.3609271,0.3468826,0.361677,0.5936716,-0.4670588,0.4649355,0.4617847],[-0.3661226,1.0732296,-0.3661226,1.0,0.0,-0.0,-0.0],[0.826654,0.0383219,0.1117393,0.119798,0.8392,-0.3774064,-0.3727683],[0.4158666,-0.2843932,0.2984849,0.9961027,0.0249734,-0.0771265,-0.0347443],[0.5347437,0.1253161,-0.3647233,0.8326639,0.3410806,0.3367165,-0.277411],[1.0627676,-0.3620292,-0.3640832,0.9999611,0.0074186,-0.004544,-0.0014633],[0.8294207,0.8170348,0.6265108,0.5693465,-0.6065204,-0.0075046,-0.5549065],[0.3409844,0.3409844,1.0732296,1.0,-0.0,0.0,-0.0],[0.3263678,0.8316773,0.5206023,0.8914384,0.2781566,-0.2200709,-0.2820201],[1.0607914,0.3699563,0.373635,0.9998572,-0.0089943,0.0026252,-0.0140671],[1.0732296,1.0732296,1.0732296,1.0,-0.0,0.0,-0.0],[-0.079322,0.5039753,-0.3904831,0.4502124,-0.4552317,0.7559202,0.1365922],[-0.1952001,-0.2812765,0.3158142,0.6976137,-0.0704938,-0.180926,0.6896605],[0.0121727,0.3934014,-0.0066168,0.6105707,-0.7334399,-0.2742014,-0.1186717],[-0.706754,-0.709699,0.8146281,0.3685638,0.8817162,0.1445887,-0.2565762],[-0.3651748,-0.0230569,-0.1754245,0.8759845,-0.17002,-0.3538285,0.2802673],[-0.6313075,0.4072243,-0.6202599,0.2855261,-0.8873645,-0.3570535,-0.0597647]]},{"n":39,"s":"4.04630+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.0463043819657,"st":4.046303145922,"cf":null,"den":0.5887,"vlb":3.39121,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n39.json","ok":true,"ver":true,"cert":["(1) containment, exact, 624 vertex/face tests: ok;  min wall gap ~ 1.000000202353e-07","(2) separation, exact, 741 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999941807948e-08"],"p":[[-0.4158162,-0.5802195,0.4722576,0.7155127,-0.6027543,0.0171362,-0.3527537],[-1.068376,-1.0770311,1.068376,1.0,-0.0,-0.0,-0.0],[-0.6884619,0.4093393,-0.5750398,0.400318,-0.1104984,-0.7908209,0.4495975],[-0.8401125,-0.129239,0.1330056,0.4060849,0.8186259,0.006456,-0.4060849],[-1.0770311,-0.3699241,0.3699241,1.0,-0.0,-0.0,0.0],[-0.6853833,0.8194071,-0.7268166,0.4808184,-0.5807489,-0.0479378,-0.6551689],[-0.989395,0.2368904,-0.3245265,0.9932653,-0.0668932,-0.0668932,-0.0668932],[-1.0770311,1.0770311,-1.0770311,1.0,0.0,0.0,-0.0],[0.5128838,-0.4916205,-0.4508469,0.1506996,0.2003932,-0.8285187,0.5006885],[-0.3305451,-1.0762693,0.3307991,0.9999994,-0.0008981,0.0005395,-0.0001797],[0.093078,-0.125586,-0.8329323,0.3906744,-0.0520854,0.390432,0.8319997],[-0.3081272,-0.555702,-0.2132018,0.8148706,-0.334657,-0.334657,-0.334657],[-0.289545,0.3109029,-1.0130827,0.9954913,0.078007,0.0159989,-0.0515358],[0.6056264,-0.6056264,-0.8413288,0.4082483,-0.4082483,0.0,-0.8164966],[0.3245367,-0.9605346,-0.4410332,0.987217,0.0920193,0.0920193,0.0920193],[0.3699241,-0.3699241,-1.0770311,1.0,-0.0,-0.0,0.0],[1.0770311,-1.0770311,-1.0770311,1.0,-0.0,0.0,-0.0],[0.4873613,0.3330812,0.5167005,0.0172817,-0.2893746,0.446185,-0.8466892],[-0.0129411,-0.191027,0.8322219,0.5437014,-0.5490626,-0.0537131,0.6324823],[-0.384383,-0.337315,0.9176474,0.9625387,0.0416679,-0.2120262,-0.1637922],[0.1999999,0.8969343,0.1218714,0.531822,0.4942791,-0.6456129,-0.2367225],[-0.3623687,1.0732761,-0.3586137,0.9999894,-0.0026623,0.0026623,0.0026623],[0.820734,0.1146321,0.0981393,0.0028679,-0.7983127,0.4184785,0.433087],[0.4877512,-0.2845359,0.2896807,0.9875177,0.0936256,-0.0927762,0.0862301],[0.4465301,0.2206483,-0.3813957,0.9486588,-0.1585986,-0.197611,0.189322],[0.8302049,0.8204966,0.6518412,0.5404673,-0.6433595,-0.0132891,-0.5420397],[0.2753202,0.2753202,1.0770311,1.0,-0.0,0.0,-0.0],[0.3297629,0.8337423,0.5190469,0.8862418,0.2866403,-0.2195028,-0.2902263],[1.0770311,0.3501211,0.3501211,1.0,0.0,0.0,-0.0],[1.0770311,1.0770311,1.0770311,1.0,0.0,-0.0,-0.0],[-0.1440379,0.4907298,-0.3069849,0.3545564,-0.5536647,0.7522512,0.0431648],[-0.0377146,-0.039953,0.3786938,0.4838993,-0.0003453,-0.5106339,0.7106999],[0.0014338,0.4818273,0.0752203,0.4576664,-0.8595276,-0.2127829,-0.0804812],[0.1442163,-0.1983962,-0.4344975,0.637383,-0.3614129,-0.0421398,0.6792259],[-0.4210528,-0.024854,-0.3748317,0.1254391,0.4149407,-0.3549797,-0.8282987],[-0.3726121,0.3070745,0.2936733,0.9933056,0.0143511,0.0688932,-0.0916065],[-0.8326737,-0.6056264,0.5969714,0.8164966,-0.4082483,-0.4082483,0.0],[1.049915,-0.3803628,-0.3894517,0.5089788,0.522652,-0.4968348,0.4700326],[0.1737371,-0.8269071,-0.0296279,0.1637414,-0.310642,-0.8864542,0.3014785]]},{"n":40,"s":"4.05505+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.0550587183992,"st":4.055057480172,"cf":null,"den":0.5999,"vlb":3.41995,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/tetintet/tetintet_n40.json","ok":true,"ver":true,"cert":["(1) containment, exact, 640 vertex/face tests: ok;  min wall gap ~ 1.000000044670e-07","(2) separation, exact, 780 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002249e-07"],"p":[[-0.4078823,-0.2422867,0.2091056,0.0254709,-0.3113386,0.6738601,-0.6695761],[-0.4498993,-0.5353636,0.5252693,0.6743441,-0.6582737,0.0052095,-0.3345275],[-1.0801262,-1.0801262,1.0801262,1.0,0.0,0.0,-0.0],[-0.6856894,0.409962,-0.575937,0.3902919,-0.1135294,-0.7988504,0.4434201],[-0.8346212,-0.0904394,0.0953507,0.3541572,0.8444859,0.0702909,-0.3955698],[-1.0801262,-0.3730192,0.3730192,1.0,0.0,0.0,-0.0],[-0.6652126,0.8226242,-0.7139931,0.4847028,-0.6067299,-0.0263721,-0.6294812],[-0.9899285,0.2467478,-0.3369455,0.9928241,-0.0690416,-0.0690416,-0.0690416],[-1.0801262,1.0324818,-1.0324818,1.0,-0.0,0.0,0.0],[0.513123,-0.5263472,-0.4319873,0.1463541,0.1793572,-0.8508284,0.4717017],[-0.3390774,-1.0087476,0.3628546,0.9942858,-0.0874945,0.0584616,-0.017966],[0.1009071,-0.1266434,-0.836285,0.3993818,-0.0427095,0.3965584,0.8254765],[-0.3104119,-0.5466891,-0.2230252,0.7668505,-0.3705583,-0.3705583,-0.3705583],[-0.2896827,0.3106989,-1.0208617,0.9968923,0.0643941,0.0227145,-0.0392841],[0.6087216,-0.6087216,-0.8444239,0.4082483,-0.4082483,-0.0,-0.8164966],[0.3655154,-1.0454643,-0.4001772,0.9990495,0.0251669,0.0251669,0.0251669],[0.3730192,-0.3730192,-1.0801262,1.0,0.0,0.0,0.0],[1.0801262,-1.0801262,-1.0801262,1.0,-0.0,-0.0,-0.0],[0.5211159,0.3321688,0.5130935,0.0050078,-0.3086408,0.4298135,-0.8485141],[-0.0171405,-0.1704559,0.8333705,0.5600714,-0.5378524,-0.0664877,0.6265894],[-0.3948432,-0.3253115,0.9157128,0.9636535,0.0614204,-0.2024269,-0.1631649],[0.1919342,0.9059271,0.1431664,0.5228677,0.4743739,-0.6659581,-0.240995],[-0.3569857,1.0737677,-0.3506272,0.9999694,0.0045167,-0.0045167,-0.0045167],[0.82386,0.0885459,0.0718008,0.0039302,-0.7983224,0.4183516,0.4331834],[0.4715502,-0.2936918,0.2747628,0.9902215,0.0814239,-0.1036578,0.0456786],[0.3428775,0.3092784,-0.4096079,0.9568079,-0.1778923,-0.1719129,0.1527054],[0.8328908,0.8328908,0.6741385,0.5357953,-0.6525694,0.0,-0.5357953],[0.2904842,0.2904842,1.0801262,1.0,-0.0,0.0,0.0],[0.3197067,0.8411143,0.5254493,0.8924583,0.2722506,-0.2319068,-0.2749855],[1.0801262,0.3238425,0.3238425,1.0,-0.0,-0.0,0.0],[1.0801262,1.0801262,1.0801262,1.0,0.0,0.0,0.0],[-0.1393776,0.5023158,-0.3062692,0.361333,-0.5519784,0.7507402,0.0338725],[-0.0262474,-0.0331059,0.4063175,0.5060374,-0.0293771,-0.4838169,0.7134314],[-0.0364898,0.4627853,0.0882091,0.4789388,-0.8285105,-0.2839979,-0.0594401],[0.152449,-0.2056782,-0.4012172,0.6650934,-0.3887551,-0.0736546,0.6333208],[-0.4100241,-0.0266314,-0.3885259,0.1169289,0.4110229,-0.3517454,-0.8328643],[-0.3737478,0.32548,0.311372,0.9976249,0.0178395,-0.0083233,-0.0660082],[-0.8444239,-0.6087216,0.6087216,0.8164966,-0.4082483,-0.4082483,0.0],[1.0140826,-0.3334173,-0.3994609,0.5228288,0.5228288,-0.5228288,0.4242054],[0.1411425,-0.8283863,-0.0530781,0.1168251,-0.3565783,-0.8574494,0.3521141]]}],"hasref":false,"family":"platonic","group":"platonic","title":"Tetrahedra in a tetrahedron","unit":"edge"},{"id":"octinoct","piece":"octahedron","container":"octahedron","rows":[{"n":2,"s":"1.93311+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.9331199262199,"st":1.93311958116,"cf":null,"den":0.2769,"vlb":1.25992,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n02.json","ok":true,"ver":true,"cert":["(1) containment, exact, 96 vertex/face tests: ok;  min wall gap ~ 1.000000013262e-07","(2) separation, exact, 1 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005025e-07"],"p":[[0.064561,0.0055114,-0.4968925,0.735252,0.0711057,-0.6643778,-0.113801],[-0.064561,-0.0055114,0.4968925,0.0570163,-0.6784672,0.7211625,0.1278905]]},{"n":3,"s":"2.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.0000003674235,"st":2.0,"cf":"2","den":0.375,"vlb":1.44225,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n03.json","ok":true,"ver":true,"cert":["(1) containment, exact, 144 vertex/face tests: ok;  min wall gap ~ 1.000000156202e-07","(2) separation, exact, 3 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.224744871076e-07"],"p":[[0.0,-0.0,0.7071069,1.0,0.0,0.0,0.0],[0.0,0.7071069,0.0,1.0,0.0,0.0,0.0],[0.7071069,-0.0,0.0,1.0,0.0,0.0,0.0]]},{"n":4,"s":"2.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.0000003674235,"st":2.0,"cf":"2","den":0.5,"vlb":1.5874,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n04.json","ok":true,"ver":true,"cert":["(1) containment, exact, 192 vertex/face tests: ok;  min wall gap ~ 1.000000156843e-07","(2) separation, exact, 6 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.224744872186e-07"],"p":[[0.0,0.0,-0.7071069,1.0,0.0,0.0,0.0],[0.0,0.0,0.7071069,1.0,0.0,0.0,0.0],[0.0,0.7071069,0.0,1.0,0.0,0.0,0.0],[0.7071069,0.0,0.0,1.0,0.0,0.0,0.0]]},{"n":5,"s":"2.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.0000003674235,"st":2.0,"cf":"2","den":0.625,"vlb":1.70998,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n05.json","ok":true,"ver":true,"cert":["(1) containment, exact, 240 vertex/face tests: ok;  min wall gap ~ 1.000000156202e-07","(2) separation, exact, 10 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.224744869965e-07"],"p":[[0.0,-0.7071069,0.0,1.0,0.0,0.0,0.0],[0.0,0.0,-0.7071069,1.0,0.0,0.0,0.0],[0.0,0.0,0.7071069,1.0,0.0,0.0,0.0],[0.0,0.7071069,0.0,1.0,0.0,0.0,0.0],[0.7071069,0.0,0.0,1.0,0.0,0.0,0.0]]},{"n":6,"s":"2.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.0000003674235,"st":2.0,"cf":"2","den":0.75,"vlb":1.81712,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n06.json","ok":true,"ver":true,"cert":["(1) containment, exact, 288 vertex/face tests: ok;  min wall gap ~ 1.000000157484e-07","(2) separation, exact, 15 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.224744872186e-07"],"p":[[-0.7071069,0.0,0.0,1.0,0.0,0.0,0.0],[0.0,-0.7071069,0.0,1.0,0.0,0.0,0.0],[0.0,0.0,-0.7071069,1.0,0.0,0.0,0.0],[0.0,0.0,0.7071069,1.0,0.0,0.0,0.0],[0.0,0.7071069,0.0,1.0,0.0,0.0,0.0],[0.7071069,0.0,0.0,1.0,0.0,0.0,0.0]]},{"n":7,"s":"2.50000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.5000004286608,"st":2.5,"cf":"5/2","den":0.448,"vlb":1.91293,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n07.json","ok":true,"ver":true,"cert":["(1) containment, exact, 336 vertex/face tests: ok;  min wall gap ~ 1.000000379265e-07","(2) separation, exact, 21 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000029e-07"],"p":[[-0.3535534,-0.3535534,-0.3535534,0.7071068,0.7071068,-0.0,-0.0],[-0.0398949,-0.0980831,0.9226824,0.6881635,-0.0364748,0.0,0.7246383],[0.3535534,0.3535534,0.3535534,0.5,-0.5,0.5,-0.5],[0.7553129,-0.0498381,-0.2555092,0.4577769,-0.5133031,0.5133031,0.5133031],[0.0580119,0.0199269,-0.9827214,0.715247,0.0165718,-0.0,0.6986752],[0.2620817,-0.7213257,0.077253,0.5259441,-0.4124904,-0.5259441,-0.5259441],[-0.0730547,0.8462915,-0.1413141,0.7412096,-0.6671789,-0.0740307,0.0]]},{"n":8,"s":"2.50000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.5000004286608,"st":2.5,"cf":"5/2","den":0.512,"vlb":2.0,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n08.json","ok":true,"ver":true,"cert":["(1) containment, exact, 384 vertex/face tests: ok;  min wall gap ~ 1.000000380547e-07","(2) separation, exact, 28 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999997512e-08"],"p":[[-0.7536399,0.1535167,0.1535037,0.975551,0.1268861,-0.1268861,-0.1268861],[-0.3535534,-0.3535534,-0.3535534,0.7071068,0.7071068,-0.0,-0.0],[-0.0398949,-0.0980831,0.9226824,0.6881635,-0.0364748,0.0,0.7246383],[0.3535534,0.3535534,0.3535534,0.5,-0.5,0.5,-0.5],[0.7553129,-0.0498381,-0.2555092,0.4577769,-0.5133031,0.5133031,0.5133031],[0.0580119,0.0199269,-0.9827214,0.715247,0.0165718,-0.0,0.6986752],[0.2620817,-0.7213257,0.077253,0.5259441,-0.4124904,-0.5259441,-0.5259441],[-0.0730547,0.8462915,-0.1413141,0.7412096,-0.6671789,-0.0740307,0.0]]},{"n":9,"s":"2.50000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.5000004286608,"st":2.5,"cf":"5/2","den":0.576,"vlb":2.08008,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n09.json","ok":true,"ver":true,"cert":["(1) containment, exact, 432 vertex/face tests: ok;  min wall gap ~ 1.000000335678e-07","(2) separation, exact, 36 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-0.3535534,0.3535534,0.3535534,0.0,-0.0,1.0,0.0],[0.0002184,0.0002228,-1.0602191,0.7071088,-0.0,-4.1e-06,-0.7071047],[0.6248194,0.2179238,-0.2179171,0.0,-0.3065323,0.8086504,0.5021181],[0.0,-1.0606603,-0.0,0.7071068,0.0,0.0,0.7071068],[0.0158616,1.0165148,-0.0282838,0.0,0.001093,0.7065597,0.7076526],[-0.3535534,-0.3535534,-0.3535534,0.5,-0.5,0.5,0.5],[-1.0606603,0.0,-0.0,0.7071068,-0.0,-0.7071068,-0.0],[0.0,-0.0,1.0606603,0.5,-0.5,0.5,0.5],[0.3535534,-0.3535534,0.3535534,0.0,-0.7071068,-0.7071068,0.0]]},{"n":10,"s":"2.50000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.5000004286608,"st":2.5,"cf":"5/2","den":0.64,"vlb":2.15443,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n10.json","ok":true,"ver":true,"cert":["(1) containment, exact, 480 vertex/face tests: ok;  min wall gap ~ 1.000000248504e-07","(2) separation, exact, 45 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000861e-07"],"p":[[-0.3535534,0.3535534,0.3535534,0.0,0.0,-1.0,-0.0],[-0.0,0.0,-1.0606603,0.7071068,-0.0,0.0,-0.7071068],[1.0606603,0.0,-0.0,0.0,-0.0,-0.7071068,-0.7071068],[-0.0,-1.0606603,-0.0,0.7071068,0.0,0.0,0.7071068],[-0.0,1.0606603,-0.0,0.0,0.0,-0.7071068,-0.7071068],[-0.3535534,-0.3535534,-0.3535534,0.5,-0.5,0.5,0.5],[-1.0606603,0.0,-0.0,0.7071068,-0.0,-0.7071068,0.0],[-0.0,0.0,1.0606603,0.5,-0.5,0.5,0.5],[0.3535534,-0.3535534,0.3535534,0.0,0.7071068,0.7071068,-0.0],[0.3535534,0.3535534,-0.3535534,0.7071068,-0.7071068,0.0,-0.0]]},{"n":11,"s":"2.66666+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.6666671157398,"st":2.666666666667,"cf":"8/3","den":0.5801,"vlb":2.22398,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n11.json","ok":true,"ver":true,"cert":["(1) containment, exact, 528 vertex/face tests: ok;  min wall gap ~ 1.000000021594e-07","(2) separation, exact, 55 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[-0.0,-0.0,-1.1785114,0.7071068,0.7071068,-0.0,0.0],[-0.4714046,0.4714046,-0.2357023,0.0,1.0,-0.0,-0.0],[-0.0,-1.1785114,0.0,0.5,-0.5,-0.5,-0.5],[-0.3427534,-0.1165029,0.7192552,0.0914132,-0.9873859,0.0914132,0.0914132],[0.2357023,0.4714046,0.4714046,0.5,-0.5,-0.5,-0.5],[-1.0980486,-0.060804,0.0196588,0.9999834,0.0033258,0.0033258,-0.0033258],[0.0,1.1785114,-0.0,0.5,0.5,0.5,0.5],[0.4714046,-0.4714046,0.2357023,0.7071068,0.0,0.7071068,0.0],[1.1785114,0.0,0.0,0.7071068,0.0,0.7071068,0.0],[0.4714046,0.2357023,-0.4714046,0.7071068,-0.7071068,0.0,0.0],[-0.2357023,-0.4714046,-0.4714046,0.0,-0.7071068,0.0,0.7071068]]},{"n":12,"s":"2.66666+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.6666671157399,"st":2.666666666667,"cf":"8/3","den":0.6328,"vlb":2.28943,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n12.json","ok":true,"ver":true,"cert":["(1) containment, exact, 576 vertex/face tests: ok;  min wall gap ~ 1.000000307475e-07","(2) separation, exact, 66 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999994736e-08"],"p":[[-0.0,-0.0,-1.1785114,0.7071068,0.7071068,-0.0,-0.0],[-0.4714046,0.4714046,-0.2357023,0.0,1.0,-0.0,-0.0],[-0.0,-1.1785114,0.0,0.5,-0.5,-0.5,-0.5],[-0.0,-0.0,1.1785114,0.0,1.0,0.0,-0.0],[0.2357023,0.4714046,0.4714046,0.5,-0.5,-0.5,-0.5],[-1.1785114,-0.0,0.0,1.0,0.0,0.0,0.0],[-0.0,1.1785114,0.0,0.5,0.5,0.5,0.5],[0.4714046,-0.4714046,0.2357023,0.7071068,0.0,0.7071068,0.0],[1.1785114,-0.0,0.0,0.7071068,-0.0,0.7071068,-0.0],[0.4714046,0.2357023,-0.4714046,0.7071068,-0.7071068,0.0,-0.0],[-0.2357023,-0.4714046,-0.4714046,0.0,0.7071068,-0.0,-0.7071068],[-0.4714046,-0.2357023,0.4714046,0.0,-1.0,-0.0,0.0]]},{"n":13,"s":"2.83333+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.833333802819,"st":2.833333333333,"cf":"17/6","den":0.5715,"vlb":2.35133,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n13.json","ok":true,"ver":true,"cert":["(1) containment, exact, 624 vertex/face tests: ok;  min wall gap ~ 1.000000001083e-07","(2) separation, exact, 78 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002249e-07"],"p":[[0.0,0.0,-1.2963626,0.7071068,0.7071068,0.0,-0.0],[-0.5892557,0.3535534,-0.3535534,0.0,-1.0,-0.0,-0.0],[0.0,-1.2963626,0.0,0.5,-0.5,-0.5,-0.5],[0.0244949,-0.0387169,1.2331508,0.0173179,-0.99955,-0.0173179,-0.0173179],[-0.2357023,0.4714046,0.5892557,0.5,-0.5,-0.5,-0.5],[-1.2963626,0.0,0.0,1.0,0.0,0.0,-0.0],[-0.0553964,1.1227417,-0.1182245,0.5187015,0.5187015,0.5187015,0.4391427],[0.4714046,-0.5892557,0.2357023,0.7071068,-0.0,0.7071068,-0.0],[1.2963626,0.0,0.0,0.7071068,-0.0,0.7071068,0.0],[0.5892557,-0.1178511,-0.5892557,0.7071068,-0.7071068,0.0,0.0],[-0.2357023,-0.5892557,-0.4714046,0.0,0.7071068,0.0,-0.7071068],[-0.5892557,-0.3535534,0.3535534,0.0,1.0,-0.0,0.0],[0.5892557,0.5892557,0.1178511,0.0,-0.7071068,0.0,0.7071068]]},{"n":14,"s":"2.94311+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.9431178819507,"st":2.943117400701,"cf":null,"den":0.5492,"vlb":2.41014,"move":"reinsert","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n14.json","ok":true,"ver":true,"cert":["(1) containment, exact, 672 vertex/face tests: ok;  min wall gap ~ 1.000000115179e-07","(2) separation, exact, 91 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001139e-07"],"p":[[-0.0,-0.0,1.3739917,0.5,-0.5,0.5,-0.5],[-0.0176005,1.1037175,0.2056249,0.5263693,0.4851606,0.4215183,0.5566659],[-0.1055769,0.6858109,-0.5767835,0.7580506,-0.0036694,0.6398772,0.1261072],[0.6234593,-0.4566294,0.2757448,0.9974389,-0.0388133,0.0535495,-0.0272325],[-0.6533232,-0.0089928,-0.5941625,0.1419039,-0.9879497,-0.0524211,-0.0327228],[0.6533232,0.0089928,-0.5941625,0.7356532,-0.1234797,-0.0772027,-0.6615186],[1.3739917,-0.0,0.0,0.7071068,-0.0,0.0,0.7071068],[-1.3739917,-0.0,0.0,0.7071068,-0.7071068,-0.0,0.0],[0.1055769,-0.6858109,-0.5767835,0.4498668,0.4468514,0.625194,0.4550561],[0.0176005,-1.1037175,0.2056249,0.0469695,0.994857,-0.0166729,-0.0881782],[-0.3901809,-0.3264466,0.6573641,0.9996717,0.0147932,0.0147932,-0.0147932],[0.3901809,0.3264466,0.6573641,0.717335,0.6964143,-0.0209208,-0.0],[-0.0020369,0.0002385,-1.3709843,0.0003655,0.0002379,0.7077746,0.7064382],[-0.6234593,0.4566294,0.2757448,0.5585171,-0.4924714,0.4661543,0.4777351]]},{"n":15,"s":"2.98533+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.9853318361778,"st":2.985331360499,"cf":null,"den":0.5638,"vlb":2.46621,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n15.json","ok":true,"ver":true,"cert":["(1) containment, exact, 720 vertex/face tests: ok;  min wall gap ~ 1.000000327986e-07","(2) separation, exact, 105 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-0.6950789,-0.6935091,-0.0014314,0.0086769,-0.7119917,0.7019633,0.0154954],[2.98e-05,-0.6966084,-0.6965797,0.9999305,0.0028308,0.0104403,0.0046923],[-0.5786715,-0.0026178,0.6689157,0.7391379,-0.2625956,0.588871,0.1948067],[-5.2e-06,1.03e-05,-1.4038156,0.7071197,1.03e-05,5.2e-06,-0.7070939],[-0.5715012,0.6765607,0.0146918,0.5318138,0.4059702,0.385453,0.6354434],[-1.4038414,-0.0,-0.0,0.0,0.0,0.0,-1.0],[0.5847042,0.0097741,0.6794563,0.1308274,-0.0851486,-0.6537798,0.7404093],[-0.6884797,0.0296443,-0.6857175,0.4969449,0.4969449,0.4969449,0.5090554],[0.6945259,0.0135217,-0.693973,0.50082,0.4982384,-0.4995255,-0.5014101],[0.5495432,0.6557345,0.041203,0.9414795,-0.0014665,-0.324818,-0.0900418],[0.6899698,-0.6904391,0.0192285,0.0048401,0.7094865,-0.0042293,0.7046897],[1.4038414,-0.0,-0.0,0.7071068,-0.0,-0.0,-0.7071068],[-1.01e-05,-1.4038111,0.0,0.7071017,1.01e-05,0.7071118,2.02e-05],[0.0,-0.0,1.4038414,0.0,0.7071068,0.0,-0.7071068],[0.0,1.4038414,-0.0,0.7071068,0.0,0.0,-0.7071068]]},{"n":16,"s":"2.99465+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.9946516508438,"st":2.994651162686,"cf":null,"den":0.5958,"vlb":2.51984,"move":"fresh","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n16.json","ok":true,"ver":true,"cert":["(1) containment, exact, 768 vertex/face tests: ok;  min wall gap ~ 1.000000219019e-07","(2) separation, exact, 120 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[0.6835368,-0.691289,-0.0172791,0.5131959,0.5254511,-0.4600902,0.4988468],[-0.0210818,0.6892115,-0.7001382,0.0,-0.7047087,-0.7094807,-0.004772],[-0.0038585,1.3917973,0.0024221,0.7121484,0.7019474,-0.008635,-0.0063206],[-1.4104315,0.0,0.0,0.5,-0.5,-0.5,-0.5],[0.6835368,0.691289,0.0172791,0.5131959,0.5254511,0.4600902,-0.4988468],[-0.0175067,-0.6791047,-0.7024554,0.017865,0.0231619,-0.9995216,-0.0100516],[0.0023889,-0.0007921,1.4056536,0.0028283,-0.9999944,-0.0005649,-0.0016908],[0.6941254,0.0093832,0.6964346,0.7117612,-0.0255667,0.0055526,0.7019341],[-0.6619145,-0.5569211,-0.0463008,0.2813226,0.5803003,0.369845,0.6688227],[-0.0038585,-1.3917973,-0.0024221,0.4974591,0.4918825,0.5096708,0.5008211],[0.6941254,-0.0093832,-0.6964346,0.0255667,0.7117612,-0.7019341,0.0055526],[-0.0210818,-0.6892115,0.7001382,0.7047087,0.004772,0.7094807,-0.0],[-0.0175067,0.6791047,0.7024554,0.0290104,0.0037455,0.6996609,0.713876],[1.4104315,0.0,0.0,0.7071068,0.0,-0.7071068,0.0],[0.0023889,0.0007921,-1.4056536,0.4974552,0.5008484,0.5019743,-0.4997109],[-0.6619145,0.5569211,0.0463008,0.2813226,0.5803003,-0.369845,-0.6688227]]},{"n":17,"s":"3.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.000000489898,"st":3.0,"cf":"3","den":0.6296,"vlb":2.57128,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n17.json","ok":true,"ver":true,"cert":["(1) containment, exact, 816 vertex/face tests: ok;  min wall gap ~ 1.000000207481e-07","(2) separation, exact, 136 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.224744867190e-07"],"p":[[-0.7071069,-0.0,-0.7071069,1.0,0.0,0.0,0.0],[-0.7071069,-0.0,0.7071069,1.0,0.0,0.0,0.0],[-0.7071069,0.7071069,0.0,1.0,0.0,0.0,0.0],[0.0,-1.4142137,0.0,1.0,0.0,0.0,0.0],[0.0,-0.7071069,-0.7071069,1.0,0.0,0.0,0.0],[0.0,-0.7071069,0.7071069,1.0,0.0,0.0,0.0],[0.0,-0.0,-1.4142137,1.0,0.0,0.0,0.0],[0.0,-0.0,0.0,1.0,0.0,0.0,0.0],[0.0,-0.0,1.4142137,1.0,0.0,0.0,0.0],[0.0,0.7071069,-0.7071069,1.0,0.0,0.0,0.0],[0.0,0.7071069,0.7071069,1.0,0.0,0.0,0.0],[0.0,1.4142137,0.0,1.0,0.0,0.0,0.0],[0.7071069,-0.7071069,0.0,1.0,0.0,0.0,0.0],[0.7071069,-0.0,-0.7071069,1.0,0.0,0.0,0.0],[0.7071069,-0.0,0.7071069,1.0,0.0,0.0,0.0],[0.7071069,0.7071069,0.0,1.0,0.0,0.0,0.0],[1.4142137,-0.0,0.0,1.0,0.0,0.0,0.0]]},{"n":18,"s":"3.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.000000489898,"st":3.0,"cf":"3","den":0.6667,"vlb":2.62074,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n18.json","ok":true,"ver":true,"cert":["(1) containment, exact, 864 vertex/face tests: ok;  min wall gap ~ 1.000000208763e-07","(2) separation, exact, 153 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.224744871076e-07"],"p":[[-0.7071069,-0.7071069,0.0,1.0,0.0,0.0,0.0],[-0.7071069,0.0,-0.7071069,1.0,0.0,0.0,0.0],[-0.7071069,0.0,0.7071069,1.0,0.0,0.0,0.0],[-0.7071069,0.7071069,0.0,1.0,0.0,0.0,0.0],[0.0,-1.4142137,0.0,1.0,0.0,0.0,0.0],[0.0,-0.7071069,-0.7071069,1.0,0.0,0.0,0.0],[0.0,-0.7071069,0.7071069,1.0,0.0,0.0,0.0],[0.0,0.0,-1.4142137,1.0,0.0,0.0,0.0],[0.0,0.0,0.0,1.0,0.0,0.0,0.0],[0.0,0.0,1.4142137,1.0,0.0,0.0,0.0],[0.0,0.7071069,-0.7071069,1.0,0.0,0.0,0.0],[0.0,0.7071069,0.7071069,1.0,0.0,0.0,0.0],[0.0,1.4142137,0.0,1.0,0.0,0.0,0.0],[0.7071069,-0.7071069,0.0,1.0,0.0,0.0,0.0],[0.7071069,0.0,-0.7071069,1.0,0.0,0.0,0.0],[0.7071069,0.0,0.7071069,1.0,0.0,0.0,0.0],[0.7071069,0.7071069,0.0,1.0,0.0,0.0,0.0],[1.4142137,0.0,0.0,1.0,0.0,0.0,0.0]]},{"n":19,"s":"3.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.000000489898,"st":3.0,"cf":"3","den":0.7037,"vlb":2.6684,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n19.json","ok":true,"ver":true,"cert":["(1) containment, exact, 912 vertex/face tests: ok;  min wall gap ~ 1.000000208763e-07","(2) separation, exact, 171 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.224744872186e-07"],"p":[[-1.4142137,0.0,0.0,1.0,0.0,0.0,0.0],[-0.7071069,-0.7071069,0.0,1.0,0.0,0.0,0.0],[-0.7071069,0.0,-0.7071069,1.0,0.0,0.0,0.0],[-0.7071069,0.0,0.7071069,1.0,0.0,0.0,0.0],[-0.7071069,0.7071069,0.0,1.0,0.0,0.0,0.0],[0.0,-1.4142137,0.0,1.0,0.0,0.0,0.0],[0.0,-0.7071069,-0.7071069,1.0,0.0,0.0,0.0],[0.0,-0.7071069,0.7071069,1.0,0.0,0.0,0.0],[0.0,0.0,-1.4142137,1.0,0.0,0.0,0.0],[0.0,0.0,0.0,1.0,0.0,0.0,0.0],[0.0,0.0,1.4142137,1.0,0.0,0.0,0.0],[0.0,0.7071069,-0.7071069,1.0,0.0,0.0,0.0],[0.0,0.7071069,0.7071069,1.0,0.0,0.0,0.0],[0.0,1.4142137,0.0,1.0,0.0,0.0,0.0],[0.7071069,-0.7071069,0.0,1.0,0.0,0.0,0.0],[0.7071069,0.0,-0.7071069,1.0,0.0,0.0,0.0],[0.7071069,0.0,0.7071069,1.0,0.0,0.0,0.0],[0.7071069,0.7071069,0.0,1.0,0.0,0.0,0.0],[1.4142137,0.0,0.0,1.0,0.0,0.0,0.0]]},{"n":20,"s":"3.16653+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.1665370473529,"st":3.16653653552,"cf":null,"den":0.6299,"vlb":2.71442,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n20.json","ok":true,"ver":true,"cert":["(1) containment, exact, 960 vertex/face tests: ok;  min wall gap ~ 1.000000290809e-07","(2) separation, exact, 190 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[-0.0195731,-0.0124723,-0.0104321,0.7255748,0.0433992,-0.0843485,0.681574],[1.5251714,-0.001125,-0.0034007,0.9999886,0.0008052,-0.0024079,-0.004034],[0.8204327,-0.000126,0.6983181,0.7070438,0.0,-0.0133492,-0.7070438],[-0.6812925,-0.6934455,0.0488074,0.0809209,-0.0179385,-0.7614901,0.6428553],[0.035369,0.036993,-1.4596109,0.5054419,0.4833067,0.5054419,0.5054419],[-0.0633592,-0.0560871,1.4125266,0.0110193,-0.0110193,0.9998178,-0.0110193],[4.54e-05,0.7224382,-0.6913933,0.4816866,-0.5190728,-0.4397176,-0.55244],[-0.4761881,-0.2309188,-0.824866,0.0,-0.0,1.0,-0.0],[0.0112613,-0.721589,0.6241247,0.703618,0.1016839,0.6991176,-0.0762671],[-0.0225599,-1.509413,0.0,0.7071068,-0.7071068,0.0,-0.0],[0.8169517,-0.7050439,0.0010951,0.004471,0.7087481,-0.0033402,-0.7054395],[0.1131596,-0.824866,-0.5939472,0.5,-0.5,-0.5,-0.5],[-0.824866,0.358429,-0.3486779,0.0,-0.0,0.7071068,0.7071068],[-0.466437,0.824866,0.2406698,0.7071068,-0.7071068,-0.0,0.0],[-1.4899821,-0.0300874,0.0119034,0.9999493,0.0058152,0.0058152,-0.0058152],[0.0486525,1.4580078,-0.0253125,0.9999671,0.0046832,0.0046832,-0.0046832],[0.1229107,0.5841962,0.824866,0.5,-0.5,-0.5,0.5],[0.6719568,0.6916115,0.0323033,0.4971188,-0.4968334,0.5023712,-0.5036395],[-0.726978,0.0513177,0.6920655,0.721111,-0.691583,0.0132416,-0.0391989],[0.7075617,-0.0376654,-0.7005673,0.0031864,-0.0616265,-0.7389714,0.6709048]]},{"n":21,"s":"3.20000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.2000005143935,"st":3.2,"cf":"16/5","den":0.6409,"vlb":2.75892,"move":"tighten","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n21.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1008 vertex/face tests: ok;  min wall gap ~ 1.000000080565e-07","(2) separation, exact, 210 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999989185e-08"],"p":[[-0.7071069,0.0394731,-0.8090552,1.0,-0.0,-0.0,0.0],[-0.8485282,-0.5656855,-0.1414214,1.0,-0.0,-0.0,-0.0],[-9.56e-05,0.0,1.5555395,1.0,0.0,0.0,-0.0],[-1.5556351,0.0,-0.0,1.0,-0.0,-0.0,0.0],[-0.7070112,-0.0815523,0.7668803,1.0,6.76e-05,-6.76e-05,6.76e-05],[-0.2828427,0.8485282,-0.4242641,1.0,-0.0,0.0,0.0],[-0.8485282,0.5656855,0.1414214,0.7071068,-0.0,-0.7071068,0.0],[0.0243984,1.531141,9.57e-05,1.0,0.0,0.0,0.0],[-0.0,-1.5556351,0.0,1.0,-0.0,0.0,0.0],[-0.0393774,-0.6678255,-0.8484322,1.0,6.77e-05,6.77e-05,6.77e-05],[-0.2828427,-0.8485282,0.4242641,1.0,0.0,-0.0,0.0],[-0.0,0.0,-1.5556351,0.7071068,-0.0,0.0,-0.7071068],[-0.0434872,-9.57e-05,-0.0978385,1.0,7.2e-06,7.2e-06,7.2e-06],[0.2828427,-0.4242641,0.8485282,1.0,-0.0,0.0,0.0],[0.2828427,0.4242641,-0.8485282,1.0,-0.0,0.0,-0.0],[0.00205,0.5679329,0.7070137,1.0,-5.98e-05,8.82e-05,3.13e-05],[0.5340028,-0.8485282,-0.173104,1.0,-0.0,-0.0,0.0],[0.8485282,-0.1414214,-0.5656855,1.0,0.0,0.0,-0.0],[0.8485282,0.1414214,0.5656855,0.7071068,0.0,-0.7071068,-0.0],[0.5900839,0.7071069,-0.0243984,1.0,0.0,-0.0,0.0],[1.5556351,0.0,-0.0,1.0,0.0,-0.0,-0.0]]},{"n":22,"s":"3.25000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.2500005205168,"st":3.25,"cf":"13/4","den":0.6409,"vlb":2.80204,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n22.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1056 vertex/face tests: ok;  min wall gap ~ 1.000000343370e-07","(2) separation, exact, 231 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[-0.7071069,0.1767767,-0.7071069,1.0,-0.0,0.0,-0.0],[-0.8838836,-0.5303302,-0.1767767,1.0,-0.0,0.0,0.0],[-1.5909905,0.0,-0.0,1.0,-0.0,0.0,-0.0],[-0.7071069,-0.1767767,0.7071069,1.0,-0.0,-0.0,0.0],[-0.3535534,0.8838836,-0.3535534,1.0,0.0,-0.0,0.0],[-0.8838836,0.5303302,0.1767767,0.7071068,-0.0,-0.7071068,-0.0],[0.0,1.5909905,-0.0,1.0,0.0,0.0,-0.0],[0.0,-1.5909905,-0.0,1.0,-0.0,-0.0,0.0],[-0.1767767,-0.5303302,-0.8838836,1.0,-0.0,0.0,-0.0],[-0.3535534,-0.8838836,0.3535534,1.0,0.0,-0.0,-0.0],[0.0,0.0,-1.5909905,0.7071068,-0.0,0.0,-0.7071068],[-0.1056766,-0.0074721,-0.0335575,0.9999505,-0.002777,0.0095364,0.0006069],[0.1767767,-0.5303302,0.8838836,1.0,-0.0,-0.0,-0.0],[0.1767767,0.5303302,-0.8838836,1.0,0.0,0.0,-0.0],[0.3535534,0.8838836,0.3535534,1.0,-0.0,-0.0,-0.0],[0.3535534,-0.8838836,-0.3535534,1.0,-0.0,0.0,-0.0],[0.7071069,-0.1767767,-0.7071069,1.0,0.0,0.0,0.0],[0.7071069,0.1767767,0.7071069,0.7071068,-0.0,-0.7071068,-0.0],[0.8838836,0.5303302,-0.1767767,1.0,0.0,0.0,-0.0],[1.5909905,0.0,-0.0,1.0,0.0,-0.0,0.0],[0.8838836,-0.5303302,0.1767767,0.5,0.5,0.5,-0.5],[-0.1767767,0.5303302,0.8838836,0.0,-0.7071068,-0.0,-0.7071068]]},{"n":23,"s":"3.25000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.2500005205168,"st":3.25,"cf":"13/4","den":0.67,"vlb":2.84387,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n23.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1104 vertex/face tests: ok;  min wall gap ~ 1.000000285681e-07","(2) separation, exact, 253 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000029e-07"],"p":[[-0.7071069,0.1767767,-0.7071069,1.0,-0.0,0.0,-0.0],[-0.8838836,-0.5303302,-0.1767767,1.0,-0.0,0.0,0.0],[0.0,0.0,1.5909905,1.0,-0.0,-0.0,0.0],[-1.5909905,0.0,-0.0,1.0,-0.0,0.0,-0.0],[-0.7071069,-0.1767767,0.7071069,1.0,-0.0,-0.0,0.0],[-0.3535534,0.8838836,-0.3535534,1.0,0.0,-0.0,0.0],[-0.8838836,0.5303302,0.1767767,0.7071068,-0.0,-0.7071068,-0.0],[0.0,1.5909905,-0.0,1.0,0.0,0.0,-0.0],[0.0,-1.5909905,-0.0,1.0,-0.0,-0.0,0.0],[-0.1767767,-0.5303302,-0.8838836,1.0,-0.0,0.0,-0.0],[-0.3535534,-0.8838836,0.3535534,1.0,0.0,-0.0,-0.0],[0.0,0.0,-1.5909905,0.7071068,-0.0,0.0,-0.7071068],[-0.1056766,-0.0074721,-0.0335575,0.9999505,-0.002777,0.0095364,0.0006069],[0.1767767,-0.5303302,0.8838836,1.0,-0.0,-0.0,-0.0],[0.1767767,0.5303302,-0.8838836,1.0,0.0,0.0,-0.0],[0.3535534,0.8838836,0.3535534,1.0,-0.0,-0.0,-0.0],[0.3535534,-0.8838836,-0.3535534,1.0,-0.0,0.0,-0.0],[0.7071069,-0.1767767,-0.7071069,1.0,0.0,0.0,0.0],[0.7071069,0.1767767,0.7071069,0.7071068,-0.0,-0.7071068,-0.0],[0.8838836,0.5303302,-0.1767767,1.0,0.0,0.0,-0.0],[1.5909905,0.0,-0.0,1.0,0.0,-0.0,0.0],[0.8838836,-0.5303302,0.1767767,0.5,0.5,0.5,-0.5],[-0.1767767,0.5303302,0.8838836,0.0,-0.7071068,-0.0,-0.7071068]]},{"n":24,"s":"3.36363+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.3636368980709,"st":3.363636363636,"cf":"37/11","den":0.6306,"vlb":2.8845,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n24.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1152 vertex/face tests: ok;  min wall gap ~ 1.000000272861e-07","(2) separation, exact, 276 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[0.1928473,0.5142595,-0.9642366,0.0,0.7071068,0.0,0.7071068],[-0.1928473,-0.9642366,0.5142595,0.7071068,0.7071068,0.0,0.0],[-0.5142595,-0.1928473,-0.9642366,0.0,0.0,-0.7071068,0.7071068],[-1.6713435,0.0,0.0,0.5,-0.5,-0.5,0.5],[-0.0,1.6713435,0.0,0.0,0.0,0.7071068,0.7071068],[0.6428244,-0.2571298,-0.7713893,0.7071068,-0.0,-0.0,-0.7071068],[0.7071069,0.2571298,0.7071069,0.0,-0.7071068,-0.7071068,0.0],[0.0784969,-0.0969938,-0.057738,0.0210361,0.021202,-0.9993364,0.0208492],[-0.0,0.0,-1.6713435,0.5,0.5,-0.5,-0.5],[1.6713435,0.0,0.0,0.5,-0.5,-0.5,-0.5],[-0.2571298,0.9642366,-0.4499771,0.5,0.5,0.5,0.5],[-0.9642366,0.2571298,-0.4499771,1.0,-0.0,0.0,-0.0],[0.9642366,0.3856947,-0.3214122,0.5,0.5,-0.5,0.5],[0.5142595,-0.9642366,-0.1928473,0.5,-0.5,-0.5,0.5],[-0.6428244,-0.7713893,-0.2571298,0.5,-0.5,0.5,-0.5],[-0.0,0.0,1.6713435,0.0,0.7071068,0.7071068,0.0],[0.9642366,-0.4499771,0.2571298,0.0,0.0,0.0,1.0],[-0.7071069,0.7071069,0.2571298,0.5,0.5,-0.5,0.5],[0.2571298,-0.4499771,0.9642366,0.0,0.7071068,0.7071068,0.0],[-0.9642366,-0.3214122,0.3856947,0.0,0.7071068,0.7071068,0.0],[0.578542,0.9642366,0.1285649,0.0,1.0,-0.0,0.0],[-0.0,-1.6713435,0.0,0.7071068,0.0,0.0,-0.7071068],[-0.578542,0.1285649,0.9642366,0.0,1.0,-0.0,-0.0],[-0.0,0.8356718,0.8356718,0.5,-0.5,0.5,0.5]]},{"n":25,"s":"3.39983+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.3998303316179,"st":3.399829792757,"cf":null,"den":0.6362,"vlb":2.92402,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n25.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1200 vertex/face tests: ok;  min wall gap ~ 1.000000242094e-07","(2) separation, exact, 300 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001139e-07"],"p":[[0.1416621,0.5654448,-0.9898293,0.0,0.7071068,0.0,0.7071068],[-0.2817885,-0.9890481,0.4253567,0.707303,0.7069104,0.0003705,1.82e-05],[-0.5654448,-0.1416621,-0.9898293,0.0,0.0,-0.7071068,0.7071068],[-1.6969361,0.0,0.0,0.5,-0.5,-0.5,0.5],[0.0,1.6969361,0.0,0.0,0.0,0.7071068,0.7071068],[0.5731287,-0.2756402,-0.8481672,0.7071068,0.0,-0.0,-0.7071068],[0.9898293,-0.4231809,0.2839259,0.0,-0.7071068,-0.7071068,-0.0],[0.0521858,-0.1329098,-0.000782,0.0001124,-0.0159933,0.9997448,-0.0159521],[0.0,0.0,-1.6969361,0.5,0.5,-0.5,-0.5],[1.6969361,0.0,0.0,0.5,-0.5,-0.5,-0.5],[-0.2827224,0.9898293,-0.4243845,0.5,0.5,0.5,0.5],[-0.9898293,0.2827224,-0.4243845,1.0,-0.0,0.0,0.0],[0.9898293,0.2904064,-0.4167005,0.5,0.5,-0.5,0.5],[-0.1333763,-0.8493707,-0.7141891,0.5,-0.5,-0.5,0.5],[-0.8280448,-0.6953044,-0.1487102,0.4998771,-0.5003685,0.4998771,-0.4998771],[0.0,-0.0138962,1.6830399,0.0,-0.7071068,-0.7071068,0.0],[0.5666483,-0.9898293,-0.1404585,0.0,-0.0,0.0,1.0],[-0.7071069,0.7071069,0.2827224,0.5,0.5,-0.5,0.5],[0.1966631,-0.5395932,0.9236981,0.0049323,0.707747,0.7064488,0.0002592],[-0.9898293,-0.149346,0.5577608,0.0,0.7071068,0.7071068,-0.0],[0.6994229,0.9898293,0.007684,0.0,-1.0,-0.0,-0.0],[-3.4e-06,-1.6969328,0.0,0.7071068,0.0,-0.0,-0.7071068],[-0.4320684,0.2750384,0.9898293,0.0,-1.0,-0.0,0.0],[0.0,0.9821453,0.7147908,0.5,-0.5,0.5,0.5],[0.6844828,0.276854,0.7122497,0.0054615,-0.7274379,0.0113895,0.6860573]]},{"n":26,"s":"3.42857+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.4285719709586,"st":3.428571428571,"cf":"24/7","den":0.6451,"vlb":2.9625,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n26.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1248 vertex/face tests: ok;  min wall gap ~ 1.000000149792e-07","(2) separation, exact, 325 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000029e-07"],"p":[[0.1010153,0.6060916,-1.0101527,0.0,-0.7071068,0.0,-0.7071068],[-0.1010153,-1.0101527,0.6060916,0.7071068,0.7071068,0.0,0.0],[-0.6060916,-0.1010153,-1.0101527,0.0,0.0,-0.7071068,0.7071068],[-1.7172595,0.0,0.0,0.5,-0.5,-0.5,0.5],[-0.0,1.7172595,0.0,0.0,-0.0,0.7071068,0.7071068],[0.3030458,-0.5050763,-0.9091374,0.7071068,0.0,0.0,-0.7071068],[1.0101527,-0.4040611,0.3030458,0.0,0.7071068,0.7071068,0.0],[-0.3030458,-0.2020305,0.2020305,0.0,-0.0,1.0,0.0],[-0.0,0.0,-1.7172595,0.5,0.5,-0.5,-0.5],[1.7172595,0.0,0.0,0.5,-0.5,-0.5,-0.5],[-0.3030458,1.0101527,-0.4040611,0.5,0.5,0.5,0.5],[-1.0101527,0.3030458,-0.4040611,1.0,0.0,0.0,0.0],[1.0101527,0.0,-0.7071069,0.5,0.5,-0.5,0.5],[-0.3030458,-0.9091374,-0.5050763,0.5,-0.5,-0.5,0.5],[-1.0101527,-0.7071069,0.0,0.5,-0.5,0.5,-0.5],[-0.0,0.0,1.7172595,0.0,-0.7071068,-0.7071068,-0.0],[0.6060916,-1.0101527,-0.1010153,0.0,-0.0,0.0,1.0],[-0.7071069,0.7071069,0.3030458,0.5,0.5,-0.5,0.5],[0.3030458,-0.4040611,1.0101527,0.0,-0.7071068,-0.7071068,0.0],[-1.0101527,-0.0,0.7071069,0.0,0.7071068,0.7071068,0.0],[0.8918629,0.8253967,0.0,0.0,1.0,-0.0,-0.0],[-0.0,-1.7172595,0.0,0.7071068,0.0,0.0,-0.7071068],[-0.3030458,0.4040611,1.0101527,0.0,-1.0,0.0,0.0],[0.1010153,1.0101527,0.6060916,0.5,-0.5,0.5,0.5],[0.7071069,0.3030458,0.7071069,0.0,-0.7071068,-0.0,0.7071068],[0.3030458,0.2020305,-0.2020305,0.0,-1.0,-0.0,0.0]]},{"n":27,"s":"3.50000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.5000005511356,"st":3.5,"cf":"7/2","den":0.6297,"vlb":3.0,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n27.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1296 vertex/face tests: ok;  min wall gap ~ 1.000000210045e-07","(2) separation, exact, 351 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999994736e-08"],"p":[[-0.7071069,-0.7071069,0.3535534,1.0,0.0,-0.0,-0.0],[-0.3478955,-0.3592114,1.0606603,1.0,0.0,0.0,0.0],[0.0,-0.0,-1.7677672,1.0,-0.0,0.0,0.0],[-1.0606603,-0.3535534,-0.3535534,1.0,-0.0,-0.0,-0.0],[-1.0538666,0.0023288,0.7115718,0.7059552,-0.0022976,0.7082528,-0.0],[-0.7071069,-0.0,-1.0606603,1.0,0.0,0.0,-0.0],[-1.7677672,-0.0,-0.0,1.0,0.0,0.0,-0.0],[-0.0,0.7071069,1.0606603,1.0,0.0,-0.0,-0.0],[0.0,1.0606603,-0.7071069,1.0,0.0,-0.0,0.0],[-1.0606603,0.706001,0.0011059,1.0,0.0,0.0,-0.0],[0.0,1.7677672,0.0,1.0,0.0,-0.0,-0.0],[0.0,-1.7677672,-0.0,1.0,0.0,-0.0,-0.0],[-0.3535534,-1.0606603,-0.3535534,1.0,-0.0,0.0,-0.0],[0.005658,-1.0606603,0.7014489,1.0,-0.0,-0.0,-0.0],[0.0,-0.7071069,-1.0606603,0.7071068,-0.0,0.0,-0.7071068],[0.0,-0.3535534,-0.0,1.0,-0.0,0.0,0.0],[0.2301394,-0.0,1.5376277,1.0,-0.0,0.0,0.0],[0.3535534,0.3535534,-1.0606603,1.0,0.0,0.0,-0.0],[0.3535534,0.3535534,0.3535534,1.0,0.0,0.0,-0.0],[0.7071069,1.0606603,-0.0,1.0,0.0,0.0,-0.0],[0.7537086,-1.0129517,0.0011068,0.9999991,0.0007832,-0.0007832,0.0007832],[0.7071069,-0.3535534,-0.7071069,1.0,-0.0,0.0,0.0],[0.8401555,-0.1900197,0.737592,0.9986031,-0.0305056,0.0305056,-0.0305056],[1.0606603,0.3535534,-0.3535534,1.0,0.0,0.0,-0.0],[1.620894,-0.0971881,0.049685,0.9998687,-0.0093565,0.0093565,-0.0093565],[-0.3535534,0.3535534,-0.3535534,0.7071068,-0.0,0.7071068,0.0],[-0.3535534,1.0606603,0.3535534,0.7071068,-0.7071068,0.0,-0.0]]},{"n":28,"s":"3.50000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.5000005511356,"st":3.5,"cf":"7/2","den":0.6531,"vlb":3.03659,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n28.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1344 vertex/face tests: ok;  min wall gap ~ 1.000000130562e-07","(2) separation, exact, 378 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999983634e-08"],"p":[[-1.0606603,-0.3535534,-0.3535534,1.0,0.0,0.0,0.0],[-1.0606603,-0.0,0.7071069,1.0,0.0,0.0,-0.0],[-0.3535534,1.0606603,-0.3535534,1.0,0.0,-0.0,0.0],[0.0,-1.7677672,0.0,1.0,-0.0,-0.0,0.0],[-0.3535534,-0.3535534,-1.0606603,1.0,-0.0,-0.0,-0.0],[0.0,-1.0606603,0.7071069,1.0,0.0,-0.0,0.0],[-0.7071069,-0.7071069,0.3535534,0.7071068,-0.0,0.7071068,0.0],[-0.3535534,-0.3535534,1.0606603,1.0,0.0,0.0,-0.0],[0.3535534,-0.3535534,0.3535534,1.0,0.0,0.0,-0.0],[0.0,-0.0,1.7677672,1.0,0.0,-0.0,0.0],[0.0,0.7071069,-1.0606603,1.0,-0.0,0.0,-0.0],[0.3535534,0.3535534,-0.3535534,0.7071068,-0.0,-0.7071068,-0.0],[-0.3535534,0.7071069,0.7071069,0.7071068,-0.7071068,-0.0,0.0],[0.3535534,1.0606603,0.3535534,1.0,0.0,0.0,0.0],[0.7071069,-0.0,-1.0606603,1.0,-0.0,-0.0,-0.0],[-0.3535534,-1.0606603,-0.3535534,1.0,-0.0,0.0,0.0],[0.3535534,0.3535534,1.0606603,1.0,-0.0,-0.0,0.0],[1.0606603,0.7071069,0.0,1.0,-0.0,-0.0,0.0],[1.0606603,-0.0,0.7071069,1.0,-0.0,0.0,-0.0],[0.0,1.7677672,-0.0,1.0,-0.0,-0.0,0.0],[1.0606603,-0.3535534,-0.3535534,1.0,-0.0,-0.0,-0.0],[1.7677672,-0.0,0.0,1.0,0.0,0.0,-0.0],[-1.7677672,-0.0,-0.0,0.0,-0.0,-0.7071068,0.7071068],[0.7071069,-1.0606603,0.0,0.7071068,0.0,0.0,-0.7071068],[0.0,-0.0,-1.7677672,0.5,0.5,0.5,-0.5],[-1.0606603,0.7071069,-0.0,0.5,-0.5,-0.5,0.5],[0.3535534,-0.7071069,-0.7071069,0.0,0.7071068,0.7071068,0.0],[-0.3535534,-0.0,0.0,0.7071068,-0.7071068,-0.0,0.0]]},{"n":29,"s":"3.50000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.5000005511356,"st":3.5,"cf":"7/2","den":0.6764,"vlb":3.07232,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n29.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1392 vertex/face tests: ok;  min wall gap ~ 1.000000079283e-07","(2) separation, exact, 406 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999994736e-08"],"p":[[-1.0606603,-0.3535534,-0.3535534,1.0,0.0,0.0,0.0],[-1.0606603,-0.0,0.7071069,1.0,0.0,0.0,-0.0],[-0.7071069,0.3535534,-0.7071069,1.0,0.0,-0.0,-0.0],[-0.3535534,1.0606603,-0.3535534,1.0,0.0,-0.0,0.0],[0.0,-1.7677672,0.0,1.0,-0.0,-0.0,0.0],[-0.3535534,-0.3535534,-1.0606603,1.0,-0.0,-0.0,-0.0],[0.0,-1.0606603,0.7071069,1.0,0.0,-0.0,0.0],[-0.7071069,-0.7071069,0.3535534,0.7071068,-0.0,0.7071068,0.0],[-0.3535534,-0.3535534,1.0606603,1.0,0.0,0.0,-0.0],[0.3535534,-0.3535534,0.3535534,1.0,0.0,0.0,-0.0],[0.0,-0.0,1.7677672,1.0,0.0,-0.0,0.0],[0.0,0.7071069,-1.0606603,1.0,-0.0,0.0,-0.0],[0.3535534,0.3535534,-0.3535534,0.7071068,-0.0,-0.7071068,-0.0],[-0.3535534,0.7071069,0.7071069,0.7071068,-0.7071068,-0.0,0.0],[0.3535534,1.0606603,0.3535534,1.0,0.0,0.0,0.0],[0.7071069,-0.0,-1.0606603,1.0,-0.0,-0.0,-0.0],[-0.3535534,-1.0606603,-0.3535534,1.0,-0.0,0.0,0.0],[0.3535534,0.3535534,1.0606603,1.0,-0.0,-0.0,0.0],[1.0606603,0.7071069,0.0,1.0,-0.0,-0.0,0.0],[1.0606603,-0.0,0.7071069,1.0,-0.0,0.0,-0.0],[0.0,1.7677672,-0.0,1.0,-0.0,-0.0,0.0],[1.0606603,-0.3535534,-0.3535534,1.0,-0.0,-0.0,-0.0],[1.7677672,-0.0,0.0,1.0,0.0,0.0,-0.0],[-1.7677672,-0.0,-0.0,0.0,-0.0,-0.7071068,0.7071068],[0.7071069,-1.0606603,0.0,0.7071068,0.0,0.0,-0.7071068],[0.0,-0.0,-1.7677672,0.5,0.5,0.5,-0.5],[-1.0606603,0.7071069,-0.0,0.5,-0.5,-0.5,0.5],[0.3535534,-0.7071069,-0.7071069,0.0,0.7071068,0.7071068,0.0],[-0.3535534,-0.0,0.0,0.7071068,-0.7071068,-0.0,0.0]]},{"n":30,"s":"3.60000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.600000563383,"st":3.6,"cf":"18/5","den":0.643,"vlb":3.10723,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n30.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1440 vertex/face tests: ok;  min wall gap ~ 1.000000324140e-07","(2) separation, exact, 435 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[-0.9899496,-0.4242641,-0.4242641,1.0,-0.0,-0.0,0.0],[-1.131371,-0.1414214,0.5656855,1.0,-0.0,0.0,0.0],[-0.7071069,0.2828427,-0.8485282,1.0,0.0,0.0,0.0],[-0.4242641,0.9899496,-0.4242641,1.0,0.0,-0.0,0.0],[-0.0,-1.8384779,-0.0,1.0,0.0,-0.0,-0.0],[-0.2828427,-0.4242641,-1.131371,1.0,0.0,0.0,0.0],[-0.0,-1.131371,0.7071069,1.0,-0.0,-0.0,-0.0],[-0.7071069,-0.8485282,0.2828427,0.7071068,-0.0,0.7071068,0.0],[-0.3644326,-0.422452,1.050931,0.9999982,0.0014724,0.0010181,-0.0006305],[0.2828427,-0.4242641,0.2828427,1.0,-0.0,-0.0,-0.0],[-0.0093636,-0.0568845,1.7722298,0.999962,0.0050353,0.0050353,-0.0050353],[-0.0,0.7071069,-1.131371,1.0,0.0,-0.0,-0.0],[0.2828427,0.2828427,-0.4242641,0.7071068,0.0,-0.7071068,0.0],[-0.5656855,0.5470398,0.7257526,0.7071068,-0.7071068,0.0,0.0],[0.1227757,1.131371,0.5843312,1.0,0.0,0.0,0.0],[0.7166999,0.0,-1.121778,1.0,-0.0,-0.0,-0.0],[-0.2828427,-1.131371,-0.4242641,1.0,-0.0,-0.0,0.0],[0.3014884,0.4056184,1.131371,1.0,0.0,0.0,-0.0],[0.6884612,1.0085953,-0.1414214,1.0,0.0,-0.0,-0.0],[1.131371,0.4429098,0.2641971,1.0,0.0,-0.0,0.0],[-0.0739764,1.7248689,-0.0396325,0.9996482,-0.0153133,0.0153133,-0.0153133],[1.0966168,-0.3019739,-0.3703787,1.0,-0.0001592,-0.0001592,-0.0001592],[0.8671739,-0.1414214,0.8298825,1.0,-0.0,0.0,-0.0],[1.8384779,0.0,-0.0,1.0,0.0,-0.0,-0.0],[-1.8384779,0.0,-0.0,0.0,-0.0,-0.7071068,0.7071068],[0.7071069,-1.131371,-0.0,0.7071068,0.0,-0.0,-0.7071068],[0.0010585,0.0,-1.8374194,0.5,0.5,0.5,-0.5],[-1.131371,0.6072595,-0.0998473,0.5,-0.5,-0.5,0.5],[0.4242641,-0.7071069,-0.7071069,0.0,-0.7071068,-0.7071068,-0.0],[-0.4242641,0.0,-0.0,0.7071068,-0.7071068,0.0,0.0]]},{"n":31,"s":"3.66666+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.666667238215,"st":3.666666666667,"cf":"11/3","den":0.6289,"vlb":3.14138,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n31.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1488 vertex/face tests: ok;  min wall gap ~ 1.000000301065e-07","(2) separation, exact, 465 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-1.1785114,-0.2357023,-0.4714046,1.0,0.0,0.0,0.0],[-1.1736069,-0.0,0.7120114,1.0,0.0,0.0,-0.0],[-0.7071069,0.4714046,-0.7071069,1.0,0.0,-0.0,0.0],[-1.1785114,0.7022024,0.0049045,1.0,0.0,-0.0,-0.0],[-0.4714046,1.1785114,-0.2357023,1.0,0.0,-0.0,0.0],[-0.0,-1.8856183,0.0,1.0,0.0,-0.0,0.0],[0.0,-1.1785114,-0.7071069,1.0,-0.0,-0.0,-0.0],[-0.2357023,-1.1785114,0.4714046,1.0,0.0,-0.0,0.0],[-0.0,-0.0,-1.8856183,1.0,-0.0,-0.0,0.0],[-0.7638551,-0.9428092,-0.178954,0.7071068,0.0,0.7071068,0.0],[-0.2357023,-0.4714046,1.1785114,1.0,-0.0,0.0,-0.0],[-0.4714046,-0.4714046,-0.9428092,1.0,0.0,0.0,0.0],[-0.4714046,-0.2357023,0.2357023,1.0,-0.0,0.0,0.0],[-0.0,-0.0,1.8856183,1.0,-0.0,0.0,-0.0],[-0.0,0.7071069,-1.1785114,1.0,-0.0,0.0,0.0],[-0.0,0.4714046,0.0,0.7071068,-0.0,-0.7071068,-0.0],[-0.4714046,0.7071069,0.7071069,1.0,0.0,-0.0,-0.0],[0.2357023,1.1785114,0.4714046,1.0,-0.0,0.0,-0.0],[0.7071069,-1.1785114,0.0,1.0,0.0,0.0,-0.0],[0.4714046,-0.7071069,0.7071069,1.0,0.0,-0.0,0.0],[0.4714046,-0.2357023,-1.1785114,1.0,0.0,0.0,-0.0],[0.2357023,-0.4714046,-0.2357023,1.0,-0.0,-0.0,-0.0],[0.2357023,0.4714046,1.1785114,1.0,-0.0,-0.0,-0.0],[0.4714046,0.9428092,-0.4714046,1.0,0.0,0.0,-0.0],[1.1785114,0.7071069,0.0,1.0,0.0,0.0,-0.0],[-0.0,1.8856183,0.0,1.0,-0.0,-0.0,0.0],[1.1244631,0.0538868,-0.7069453,1.0,-0.0001068,-0.0001068,-0.0001068],[0.7071069,0.2357023,0.4714046,1.0,-0.0,0.0,0.0],[1.8318931,-0.0,-0.0537252,1.0,-0.0,-0.0,0.0],[-1.8856183,-0.0,0.0,0.0,-0.0,0.7071068,-0.7071068],[1.1785114,-0.4714046,0.2357023,0.5,-0.5,0.5,0.5]]},{"n":32,"s":"3.69230+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.6923082669962,"st":3.692307692308,"cf":"48/13","den":0.6357,"vlb":3.1748,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n32.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1536 vertex/face tests: ok;  min wall gap ~ 1.000000244658e-07","(2) separation, exact, 496 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[-1.1966424,-0.4895355,-0.2175713,1.0,0.0,0.0,-0.0],[-1.1966424,-0.0,0.7071069,1.0,0.0,0.0,-0.0],[-0.979071,-0.0,-0.9246782,1.0,0.0,-0.0,0.0],[-1.1966424,0.7071069,0.0,1.0,-0.0,-0.0,0.0],[-0.4895355,1.1966424,-0.2175713,1.0,-0.0,-0.0,-0.0],[0.0,-1.9037493,-0.0,1.0,-0.0,0.0,0.0],[0.2175713,-0.979071,-0.7071069,1.0,-0.0,0.0,0.0],[0.0,-1.1966424,0.7071069,1.0,-0.0,0.0,0.0],[0.0,-0.0,-1.9037493,1.0,-0.0,0.0,-0.0],[-0.4895355,-1.1966424,-0.2175713,0.7071068,0.0,0.7071068,0.0],[-0.4895355,-0.2175713,1.1966424,1.0,0.0,0.0,-0.0],[-0.2719642,-0.4895355,-1.1422496,1.0,0.0,-0.0,0.0],[-0.7071069,-0.7071069,0.4895355,1.0,0.0,-0.0,-0.0],[0.0,0.0,1.9037493,1.0,0.0,0.0,0.0],[-0.0543928,0.652714,-1.1966424,1.0,0.0,-0.0,0.0],[-0.2719642,0.2175713,-0.4351427,0.7071068,-0.0,-0.7071068,-0.0],[-0.4895355,0.7071069,0.7071069,1.0,0.0,0.0,-0.0],[0.2175713,1.1966424,0.4895355,1.0,0.0,0.0,-0.0],[0.7071069,-1.1966424,-0.0,1.0,-0.0,-0.0,-0.0],[0.4351427,-0.4895355,0.979071,1.0,-0.0,0.0,-0.0],[0.652714,-0.0543928,-1.1966424,1.0,-0.0,-0.0,0.0],[0.4351427,-0.2719642,-0.2175713,1.0,-0.0,-0.0,0.0],[0.2175713,0.4895355,1.1966424,1.0,0.0,0.0,0.0],[0.3807499,0.979071,-0.5439284,1.0,-0.0,-0.0,0.0],[1.0334639,0.8158925,0.0543928,1.0,-0.0,-0.0,-0.0],[0.0,1.9037493,-0.0,1.0,0.0,0.0,0.0],[1.1966424,0.1631785,-0.5439284,1.0,-0.0,-0.0,0.0],[0.9453458,0.1969038,0.7614997,1.0,-0.0,-0.0,-0.0],[1.9037493,0.0,-0.0,1.0,-0.0,0.0,0.0],[-1.9037493,0.0,0.0,0.0,-0.0,0.7071068,-0.7071068],[1.1966424,-0.4895355,0.2175713,0.5,-0.5,0.5,0.5],[0.0,-0.0,0.4895355,0.5,0.5,0.5,-0.5]]},{"n":33,"s":"3.73684+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.7368426854057,"st":3.736842105263,"cf":null,"den":0.6324,"vlb":3.20753,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n33.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1584 vertex/face tests: ok;  min wall gap ~ 1.000000408751e-07","(2) separation, exact, 528 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999994736e-08"],"p":[[-1.228133,-0.5210261,-0.1860808,1.0,0.0,0.0,-0.0],[-1.165374,-0.0,0.7698658,1.0,0.0,-0.0,-0.0],[-1.0420522,-0.0,-0.8931876,1.0,0.0,-0.0,0.0],[-1.228133,0.6443479,0.062759,1.0,-0.0,0.0,0.0],[-0.5837851,1.228133,-0.1233218,1.0,0.0,-0.0,-0.0],[0.0,-1.9352398,0.0,1.0,-0.0,0.0,-0.0],[0.0372162,-1.0420522,-0.8559715,1.0,0.0,0.0,0.0],[0.0,-1.228133,0.7071069,1.0,-0.0,-0.0,-0.0],[0.0,-0.0,-1.9352398,1.0,-0.0,0.0,-0.0],[-0.5210261,-1.228133,-0.1860808,0.7071068,-0.0,0.7071068,0.0],[-0.4582672,-0.2488397,1.228133,1.0,-0.0,-0.0,-0.0],[-0.3349454,-0.3721615,-1.228133,1.0,-0.0,-0.0,-0.0],[-0.7071069,-0.7071069,0.5210261,1.0,0.0,0.0,-0.0],[0.0,-0.0,1.9352398,1.0,0.0,-0.0,0.0],[0.0,0.7071069,-1.228133,1.0,0.0,-0.0,0.0],[-0.3977043,0.3977043,-0.5210261,0.7071068,0.0,-0.7071068,-0.0],[-0.5210261,0.7071069,0.7071069,1.0,0.0,0.0,-0.0],[0.1860808,1.228133,0.5210261,1.0,0.0,-0.0,0.0],[0.7071069,-1.228133,-0.0,1.0,0.0,0.0,0.0],[0.4349205,-0.5210261,0.9792933,1.0,-0.0,0.0,-0.0],[0.7071069,-0.0,-1.228133,1.0,0.0,-0.0,0.0],[0.5210261,-0.48381,-0.48381,1.0,0.0,0.0,0.0],[0.1860808,0.5210261,1.228133,1.0,-0.0,0.0,-0.0],[0.3721615,1.0420522,-0.5210261,1.0,0.0,-0.0,0.0],[1.0420522,0.8559715,0.0372162,1.0,0.0,-0.0,0.0],[0.0,1.9352398,0.0,1.0,0.0,0.0,0.0],[1.228133,0.1860808,-0.5210261,1.0,0.0,-0.0,-0.0],[1.0420522,0.0999751,0.7932125,1.0,0.0,0.0,-0.0],[1.9352398,-0.0,0.0,1.0,0.0,0.0,-0.0],[-1.9352398,-0.0,0.0,0.0,-0.0,-0.7071068,0.7071068],[1.228133,-0.5210261,0.1860808,0.5,-0.5,0.5,0.5],[-0.2116236,-0.2977292,0.0116734,0.5,0.5,0.5,-0.5],[0.3838349,0.2977292,0.2349703,0.0,0.7071068,0.0,-0.7071068]]},{"n":34,"s":"3.78844+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.7884471486478,"st":3.788446562185,"cf":null,"den":0.6253,"vlb":3.23961,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n34.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1632 vertex/face tests: ok;  min wall gap ~ 1.000000248504e-07","(2) separation, exact, 561 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-1.2646228,-0.4079251,-0.2991818,1.0,-0.0,-0.0,-0.0],[-1.2646228,0.2991818,0.4079251,1.0,0.0,-0.0,-0.0],[-0.9654411,0.5983636,-0.4079251,1.0,-0.0,0.0,0.0],[-1.9717297,-0.0,-0.0,1.0,0.0,-0.0,-0.0],[-0.6662593,1.2237753,0.0816952,1.0,-0.0,0.0,0.0],[0.0,-1.9717297,-0.0,0.7071068,0.0,0.0,0.7071068],[-0.1495909,-1.2646228,0.557516,1.0,0.0,-0.0,-0.0],[-0.8566978,-1.115032,-0.0,0.7071068,0.0,0.7071068,0.0],[-0.1495909,-0.557516,1.2646228,1.0,-0.0,0.0,-0.0],[0.0,-0.0,-1.9717297,1.0,-0.0,0.0,0.0],[-0.8566978,-0.1087433,-1.0062886,1.0,0.0,0.0,0.0],[-0.557516,-0.4079251,0.4079251,1.0,-0.0,0.0,0.0],[0.0,-0.0,1.9717297,1.0,0.0,-0.0,0.0],[-0.1763972,0.4490838,0.2320494,0.7071062,0.0004175,-0.7071062,-0.0012497],[-0.8566978,-0.0,1.115032,1.0,-0.0,-0.0,-0.0],[-0.0408476,1.2646228,-0.6662593,1.0,0.0,-0.0,0.0],[0.0068207,1.9580883,0.0068207,0.9999676,-0.0046464,-0.0046464,-0.0046464],[0.557516,-0.7071069,0.7071069,1.0,0.0,0.0,-0.0],[0.1919491,-0.5151577,-1.2646228,1.0,-0.0,0.0,0.0],[-0.1495909,-0.2583342,-0.4487727,1.0,0.0,0.0,0.0],[0.7071069,-0.0,1.2646228,1.0,-0.0,0.0,-0.0],[-0.2583342,0.4487727,-1.2646228,1.0,-0.0,-0.0,0.0],[0.0004379,0.6805448,1.2550244,0.9991859,0.0207438,0.0340551,0.0061228],[0.8158502,1.0471362,-0.1087433,1.0,0.0,-0.0,0.0],[0.6666033,-1.2646228,-0.0405036,1.0,-0.0,-0.0,0.0],[0.8566978,-0.557516,-0.557516,1.0,0.0,-0.0,-0.0],[1.2646228,-0.4079251,0.2991818,1.0,0.0,-0.0,-0.0],[1.2646228,0.2991818,-0.4079251,1.0,-0.0,0.0,0.0],[1.9717297,-0.0,-0.0,1.0,0.0,0.0,0.0],[0.557516,0.5983636,-0.8158502,0.0,0.0,-0.7071068,-0.7071068],[0.557516,0.0,0.0,0.0,0.0,1.0,-0.0],[0.2123993,1.1725402,0.5685537,0.0097332,-0.0277297,0.7068014,-0.7068014],[0.9654411,0.4487727,0.557516,0.0,-0.7071068,0.7071068,-0.0],[0.0,-1.2222646,-0.7494651,0.7071068,-0.0,0.0,-0.7071068]]},{"n":35,"s":"3.80000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.800000587878,"st":3.8,"cf":"19/5","den":0.6378,"vlb":3.27107,"move":"reinsert","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n35.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1680 vertex/face tests: ok;  min wall gap ~ 1.000000229274e-07","(2) separation, exact, 595 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-1.2727924,-0.4242641,-0.2828427,1.0,0.0,-0.0,0.0],[-1.2727924,0.2828427,0.4242641,1.0,0.0,-0.0,-0.0],[-0.9899496,0.4242641,-0.5656855,1.0,-0.0,-0.0,-0.0],[-1.9798992,0.0,0.0,1.0,0.0,0.0,0.0],[-0.8485282,0.9899496,0.1414214,1.0,0.0,-0.0,-0.0],[0.0,-1.9798992,0.0,1.0,-0.0,0.0,0.0],[0.0,-1.2727924,-0.7071069,0.7071068,0.0,0.0,0.7071068],[-0.1414214,-1.2727924,0.5656855,1.0,-0.0,0.0,0.0],[-0.8400158,-1.131371,-0.0085125,0.7071068,0.0,0.7071068,0.0],[-0.1414214,-0.5656855,1.2727924,1.0,0.0,0.0,0.0],[0.0,0.0,-1.9798992,1.0,0.0,0.0,0.0],[-0.7071069,-0.1414214,-1.131371,1.0,0.0,0.0,0.0],[-0.5656855,-0.4242641,0.4242641,1.0,0.0,-0.0,-0.0],[0.0,0.0,1.9798992,1.0,0.0,-0.0,0.0],[-0.1414214,0.4242641,0.2828427,0.7071068,-0.0,-0.7071068,0.0],[-0.8362808,0.0122475,1.131371,1.0,-0.0,0.0,-0.0],[-0.2828427,1.2727924,-0.4242641,1.0,-0.0,-0.0,0.0],[0.0,1.9798992,0.0,1.0,-0.0,-0.0,-0.0],[0.5656855,-0.7071069,0.7071069,1.0,-0.0,-0.0,0.0],[0.7071069,0.1414214,-1.131371,1.0,-0.0,-0.0,0.0],[-0.1414214,-0.2828427,-0.4242641,1.0,0.0,-0.0,-0.0],[0.8485282,0.0,1.131371,1.0,-0.0,0.0,-0.0],[-0.1414214,0.5656855,-1.2727924,1.0,-0.0,0.0,-0.0],[0.1414214,0.5656855,1.2727924,1.0,-0.0,-0.0,-0.0],[0.7071069,1.2727924,0.0,1.0,0.0,0.0,-0.0],[0.7071069,-1.2727924,0.0,1.0,0.0,-0.0,-0.0],[0.8485282,-0.5656855,-0.5656855,1.0,-0.0,0.0,0.0],[1.2727924,0.2828427,-0.4242641,1.0,0.0,0.0,-0.0],[0.4242641,0.8485282,-0.7071069,0.0,-0.0,0.7071068,0.7071068],[0.5656855,-0.0,-0.0,0.0,0.0,1.0,0.0],[0.0,1.2727924,0.7071069,0.0,-0.0,0.7071068,-0.7071068],[0.9899496,0.5656855,0.4242641,0.0,0.7071068,-0.7071068,0.0],[0.1414214,-0.5656855,-1.2727924,0.7071068,0.0,0.0,-0.7071068],[1.2727924,-0.4242641,0.2828427,0.7071068,0.0,-0.0,-0.7071068],[1.9798992,0.0,0.0,0.0,-0.7071068,-0.7071068,0.0]]},{"n":36,"s":"3.85433+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.8543361659469,"st":3.854335571414,"cf":null,"den":0.6287,"vlb":3.30193,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n36.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1728 vertex/face tests: ok;  min wall gap ~ 1.000000013903e-07","(2) separation, exact, 630 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000861e-07"],"p":[[-1.3112134,-0.4621482,-0.2449586,1.0,-0.0,-0.0,-0.0],[-1.3112134,0.2431596,0.4639473,1.0,-0.0,-0.0,-0.0],[-1.0646974,0.4992819,-0.4509766,0.9999922,0.0011853,-0.0011853,0.0035729],[-2.0183203,0.0,0.0,1.0,-0.0,-0.0,-0.0],[-0.8101072,1.2082131,0.0,1.0,-0.0,-0.0,0.0],[-0.0,-2.0183203,0.0,1.0,-0.0,0.0,0.0],[0.2015619,-1.3112134,-0.5055449,0.7071068,0.0,-0.0,0.7071068],[-0.1419583,-1.3112134,0.5651486,1.0,-0.0,-0.0,0.0],[-0.8490652,-1.1692551,0.0,0.7071068,0.0,0.7071068,0.0],[-0.1377425,-0.5678354,1.3089397,0.9999927,0.0027036,-0.0,0.0027036],[-0.0,0.0,-2.0183203,1.0,0.0,-0.0,-0.0],[-0.8422369,-0.0053587,-1.1593536,0.9997133,0.004033,0.011909,0.0203789],[-0.6027481,-0.4616399,0.4625901,0.9999973,0.0018648,0.0013991,0.0002317],[-0.0,0.0,2.0183203,1.0,0.0,0.0,0.0],[-0.3602785,0.5267426,0.2829146,0.7057952,0.0026159,-0.7084111,-0.0],[-0.8431837,0.000963,1.1720952,0.9999971,0.0007918,0.0021563,0.0006792],[-0.1030003,1.3112134,-0.6041065,1.0,0.0,0.0,0.0],[-0.0,2.0183203,0.0,1.0,0.0,-0.0,0.0],[0.5303254,-0.7460649,0.74193,1.0,-0.0,0.0,0.0],[0.8220542,0.0,-1.196266,1.0,0.0,-0.0,-0.0],[-0.1238678,0.0679665,-0.5065803,0.9937761,-0.0446571,-0.0022401,0.1020281],[0.717537,-0.0377149,1.2599576,0.9999947,-0.0005508,-0.0027578,0.0016489],[-0.1030003,0.6041065,-1.3112134,1.0,-0.0,0.0,-0.0],[0.0468955,0.6546995,1.2676268,0.9968841,0.0026277,-0.0724406,-0.0311067],[0.7071069,1.3112134,0.0,1.0,0.0,-0.0,-0.0],[0.8738457,-1.1096515,0.0348231,1.0,-0.0,0.0,0.0],[1.0917933,-0.4373678,-0.4891592,1.0,-0.0,0.0,-0.0],[1.3112134,-0.2194201,0.4876868,1.0,0.0,0.0,0.0],[1.3112134,0.4876868,-0.2194201,1.0,0.0,-0.0,-0.0],[2.0183203,0.0,0.0,1.0,0.0,0.0,-0.0],[0.6041065,0.7071069,-0.7071069,0.0,-0.0,-0.7071068,-0.7071068],[0.4943481,-0.0413509,0.0646588,0.0022401,-0.1020281,0.9937761,-0.0446571],[-0.0127565,1.2817584,0.6429171,0.0496663,-0.0742635,-0.671864,0.7352666],[0.8235266,0.6041065,0.5906871,0.0,-0.7071068,0.7071068,-0.0],[0.1149474,-0.5921595,-1.3112134,0.7071068,-0.0,-0.0,-0.7071068],[-0.5236175,-0.7493342,-0.704018,0.5441729,0.4534788,0.515831,0.4818208]]},{"n":37,"s":"3.88376+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.8837606676993,"st":3.883760069121,"cf":null,"den":0.6316,"vlb":3.33222,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n37.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1776 vertex/face tests: ok;  min wall gap ~ 1.000000170303e-07","(2) separation, exact, 666 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[-0.696853,-0.0243198,-1.231402,0.9945007,0.0123345,0.0873581,-0.0564344],[-1.3308174,-0.2273194,-0.4809898,0.9999977,-0.0012514,-0.0012514,-0.0012514],[-1.1894192,-0.0844024,0.765305,0.9999976,-0.0012716,-0.0012716,0.0012716],[-0.7115355,0.5771939,-0.5875246,0.9873433,0.041761,0.0779798,-0.1316369],[-1.3308864,0.5639268,0.140548,0.9999907,-0.0038757,0.0014734,-0.0011916],[-0.7227461,1.2925384,0.0103483,0.9994539,0.0272399,-0.0077848,-0.017006],[-0.1764498,-1.323989,-0.5380829,0.999999,0.000453,0.0008804,0.0010208],[-0.3963755,-1.1557233,0.4870278,0.9999993,0.0006732,0.0006732,-0.0006732],[-0.032106,-0.7427482,-1.2490381,0.9980451,0.0341742,0.0463253,0.024333],[-1.1033342,-0.9353161,-0.0004762,0.7068685,0.0,0.7073448,0.0004763],[-0.3780965,-0.4448927,1.2161373,0.999941,0.0062723,0.0062723,-0.0062723],[-0.0002067,-0.0001032,-2.03861,0.9999999,7.31e-05,0.0002191,0.0003654],[-0.0238957,-0.0563876,-0.5820756,0.9839213,0.0965389,0.0974763,-0.114357],[-0.5387954,-0.2274795,0.144936,0.9999911,0.0012716,-0.0038084,-0.0012587],[-3.2e-05,0.0068339,2.0186648,0.9998684,0.004903,0.0147103,0.0047608],[-0.017193,0.6572587,-1.3143277,0.9975598,-0.0125548,-0.064663,0.0231416],[-0.0568367,0.5850526,0.0039581,0.7751421,-0.0087867,-0.6180852,-0.130569],[-0.550711,0.5238921,0.9645234,0.9997754,0.0122369,-0.0122369,-0.0122369],[-0.009813,1.3323317,-0.6663166,0.9990047,-0.0044565,-0.0409789,0.0170431],[-0.0438733,1.30252,0.6927333,0.9996546,0.0151732,-0.0151732,-0.0151732],[-0.0015992,2.026912,0.0073644,0.9999768,0.0034362,-0.0057695,-0.0011506],[0.5309327,-1.328386,0.172555,0.9999707,0.0012556,0.0039071,0.0064577],[0.3109155,-0.7164993,0.7565211,0.9998297,-0.0045433,0.017223,0.0048181],[0.6463548,-0.0328873,-1.3247197,0.7293579,0.6811266,0.052245,0.0370689],[0.5748656,-0.005452,0.057407,0.9859523,0.0930892,0.1028606,-0.0930171],[0.5903528,-0.1266861,1.3182687,0.9997383,-0.0129497,0.0157703,-0.0103413],[0.6459854,0.6397398,-0.6534982,0.7564449,0.6495466,-0.000309,0.0766824],[0.5857114,0.6136661,0.6910616,0.9873438,0.0593081,0.137356,-0.052612],[0.6704055,1.3127224,-0.006526,0.9970593,-0.0686596,-0.0167697,0.029619],[1.2887728,-0.6766211,0.0602613,0.7018256,-0.7116757,0.0301107,-0.0072074],[1.2968592,-0.0385847,-0.6732671,0.9972661,-0.0369308,0.0170448,0.0616921],[1.2752926,-0.0066376,0.7267032,0.9988407,-0.0057609,0.0268106,-0.0395625],[1.3188119,0.654091,-0.0067028,0.6899931,-0.0339175,-0.7182552,0.0828766],[2.0274759,-0.0058251,-0.0019164,0.9999664,-0.0013838,0.0069429,0.0041287],[-2.0391265,0.0,0.0,0.0,0.0,-0.7071068,0.7071068],[0.6273184,-0.7209784,-0.5825229,0.6857955,0.0338854,0.1274092,-0.7157536],[-0.0018322,-2.0336325,-2.4e-06,0.0036787,0.7080127,-0.0018393,-0.7061877]]},{"n":38,"s":"3.91696+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.9169638366631,"st":3.916963233979,"cf":null,"den":0.6323,"vlb":3.36198,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n38.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1824 vertex/face tests: ok;  min wall gap ~ 1.000000149792e-07","(2) separation, exact, 703 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[-0.7098498,0.0002062,-1.3319855,0.9996849,-0.0071163,0.0078494,-0.0227562],[-1.3492263,-0.0013733,-0.6384124,0.9952679,-0.0249977,0.0291402,-0.0892618],[-1.0396182,-0.0417662,0.9812203,0.9999208,0.0072682,0.0072682,-0.0072682],[-0.6724466,0.6360363,-0.5992857,0.9950356,-0.0047741,0.0794315,-0.0597654],[-1.1505014,0.6097732,0.3023302,0.9999835,-0.0033165,0.0033165,0.0033165],[-0.710396,1.3239993,0.0282095,0.9999037,0.008014,-0.008014,-0.008014],[-0.1025989,-1.3554979,-0.604508,1.0,-0.0,-0.0,-0.0],[-0.3002016,-1.2236058,0.5387973,0.9999752,0.0040673,0.0040673,-0.0040673],[-0.0097599,-0.7349714,-1.2958583,0.998911,0.0227598,0.0399708,0.0078195],[-1.318775,-0.5433925,0.2004372,0.70363,0.006903,0.710533,0.0],[-0.2661634,-0.5185275,1.2779138,0.9998406,0.0103091,0.0103091,-0.0103091],[-0.0082947,-0.0034323,-2.0437589,0.9998882,0.0025224,0.0074921,0.0126927],[-0.013001,-0.037361,-0.6012722,0.9754338,0.1305447,0.1439896,-0.1037012],[-0.4127764,-0.1584313,0.3092036,0.9999128,0.0001742,0.0127954,-0.0032758],[-0.0104883,7.42e-05,2.031243,0.999686,0.0227561,0.0075836,-0.007246],[0.014621,0.6735571,-1.3432943,0.9976741,-0.032948,-0.0583939,0.0122911],[0.0096265,0.6070936,0.0317775,0.767598,0.0121721,-0.6183038,-0.1683617],[-0.3648551,0.5880652,1.1096844,0.9996919,0.0143313,-0.0143313,-0.0143313],[0.0149925,1.3446001,-0.678726,0.9986491,-0.0245761,-0.0432229,0.0150947],[-0.0105058,1.3414602,0.7106387,0.9999522,0.0056447,-0.0056447,-0.0056447],[2.45e-05,2.0447542,0.0059601,0.9999002,-0.0042681,0.0041602,0.0128052],[0.5804039,-1.3541465,0.1253516,0.9999986,0.0009565,0.0009565,0.0009565],[0.4063992,-0.628447,0.6364691,0.9996381,-0.0098559,0.025022,-0.0006555],[0.6668164,-0.0201617,-1.3583209,0.7206623,0.692439,0.0293138,0.0177432],[0.6056768,-0.0296788,0.0230517,0.9777924,0.1109258,0.1320761,-0.1190522],[0.6295855,-0.0955244,1.3349775,0.9993608,-0.0205152,0.0224108,-0.0188403],[0.668491,0.662082,-0.669997,0.7509049,0.6564682,-0.0106,0.0712668],[0.646737,0.6390849,0.6972612,0.9949034,0.0209006,0.090485,-0.0392791],[0.6890841,1.3245853,-0.0017802,0.9980341,-0.0568633,-0.015906,0.0210128],[1.3211722,-0.703756,0.0376766,0.6895123,-0.7234772,0.0339649,0.0],[1.3212899,-0.0194533,-0.6797448,0.9980103,-0.0372026,0.0081934,0.0502421],[1.3151202,-0.031981,0.7133342,0.9990757,-0.0232869,0.0247097,-0.0263614],[1.3472412,0.6611529,-0.0069024,0.6937709,-0.0263734,-0.7165187,0.0677301],[2.0584349,-0.0013904,-1.4e-06,0.9999947,0.0009803,-0.0029582,0.0009861],[-2.0273703,0.000594,0.0334454,0.0005962,0.001194,-0.7056087,0.7086005],[0.6248089,-0.6856366,-0.6150605,0.672795,0.0264737,0.1206396,-0.7294465],[0.0,-2.0626047,0.0,0.0,-0.7071068,0.0,0.7071068],[-0.7251814,-0.656329,-0.5023127,0.9983544,0.0398106,-0.0258727,-0.0321587]]},{"n":39,"s":"3.92959+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.9295905638596,"st":3.92958996013,"cf":null,"den":0.6427,"vlb":3.39121,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n39.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1872 vertex/face tests: ok;  min wall gap ~ 1.000000083129e-07","(2) separation, exact, 741 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[-0.693028,-0.021763,-1.3436064,0.998934,0.016287,0.0250218,0.0352057],[-1.3446174,-0.0116616,-0.6675635,0.9965146,0.0113347,0.0433275,0.0703765],[-1.1960767,0.0036334,0.8718231,1.0,0.0,0.0,0.0],[-0.6583493,0.670377,-0.6445066,0.9882362,0.0900862,-0.0862122,0.0885508],[-1.3186827,0.665746,0.0103187,0.9961054,0.0016902,-0.0643531,0.0602478],[-0.651003,1.3619187,0.00623,0.9977326,0.0189205,-0.061755,0.0189205],[0.0,-2.0715332,-0.0,1.0,-0.0,-0.0,-0.0],[-0.0341556,-1.3286405,-0.6489647,0.9952175,0.0137601,0.0538774,0.0803123],[-0.1171267,-1.313232,0.6315825,0.9999348,-0.0103516,0.0034031,0.0034031],[-0.0413125,-0.6887184,-1.3204398,0.996476,0.0453351,0.0628112,0.0321733],[-1.3644263,-0.5387573,0.1683496,0.7071068,0.0,0.7071068,-0.0],[-0.2317789,-0.4996316,1.3401227,1.0,0.0,0.0,-0.0],[0.0,0.0,-2.0715332,1.0,0.0,0.0,0.0],[0.0205718,0.0273461,-0.5601081,0.9997096,-0.0079995,0.0201119,-0.0105927],[-0.4889699,-0.257191,0.4255406,1.0,0.0,0.0,0.0],[-0.014648,0.0032699,2.0468458,0.9998989,0.0023984,-0.0071272,-0.0120648],[0.0147458,0.6874008,-1.3328681,0.9969467,-0.037026,-0.0675154,0.0129663],[-0.1527554,0.5526272,0.1552528,0.7104143,0.0024385,-0.7037791,0.0007165],[-0.4889699,0.4499159,1.1326475,1.0,0.0,0.0,0.0],[0.0219009,1.3401399,-0.6666154,0.9976905,-0.0041054,-0.0334116,0.0589948],[-0.0015497,1.3029561,0.7122458,0.9981989,-0.0416085,-0.0007034,-0.0432113],[0.0,2.0715332,-0.0,1.0,0.0,0.0,0.0],[0.6638638,-1.3431954,-0.0218558,0.9952021,-0.0194615,0.0837173,0.0467493],[0.6598361,-0.6706059,-0.6662132,0.9893647,-0.0808347,0.0899244,0.0808506],[0.475376,-0.7234059,0.8536947,0.9998892,-0.003527,0.0103207,0.0101329],[0.6664058,0.0226567,-1.3405438,0.9977926,-0.0509488,-0.0120287,0.0408586],[0.5695121,-0.1383188,0.1416933,0.9998756,-0.0055819,0.0082089,0.0122597],[0.6562168,0.0154215,1.3650902,0.9971286,-0.0651454,-0.0362432,-0.0133039],[0.6833919,0.6797516,-0.6774228,0.9917266,-0.0749631,-0.0766012,0.0706479],[0.6575423,0.6547421,0.6876425,0.9912541,-0.0664345,-0.091287,-0.0683263],[0.6670075,1.3352567,0.0052023,0.9973802,-0.057299,-0.005784,0.0437743],[1.3146229,-0.6944175,-0.0127767,0.9959816,-0.0125558,0.0760143,0.0456606],[1.3373399,0.0118433,-0.6846982,0.9974768,-0.0105649,-0.0358477,0.0603609],[1.3386172,0.0137965,0.6856526,0.997446,-0.0616348,-0.0340773,-0.0118863],[1.3306647,0.6668093,-0.0071919,0.9971737,-0.045468,-0.0597938,-0.0013798],[2.021122,0.0001704,-0.0168282,0.9997675,-0.0211103,-0.0032711,-0.0029163],[-2.0715332,0.0,-0.0,0.0,-0.0,-0.7071068,0.7071068],[-0.6574807,-0.6073433,-0.6131255,0.9858754,0.0509636,0.147545,0.0606865],[-0.825669,-1.2458642,-0.0,0.5,0.5,-0.5,-0.5]]},{"n":40,"s":"3.95554+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.9555477433758,"st":3.955547136533,"cf":null,"den":0.6463,"vlb":3.41995,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octinoct/octinoct_n40.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1920 vertex/face tests: ok;  min wall gap ~ 1.000000372856e-07","(2) separation, exact, 780 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999989185e-08"],"p":[[-0.6940367,0.0076725,-1.3713961,0.9993713,0.0302755,-0.0174633,0.0059578],[-1.3627679,0.0265703,-0.6739431,0.9984362,0.0314872,-0.013459,0.0441868],[-0.8975579,-0.39361,0.6897825,0.9902945,0.0803574,-0.0118884,0.112775],[-0.6979393,0.6908235,-0.691674,0.9941947,0.0581805,-0.0632981,0.0646936],[-1.3559551,0.6876286,-0.0108107,0.9978608,0.0095181,-0.0553261,0.0334997],[-0.6925149,1.3613207,-0.0157934,0.9987185,0.0122621,-0.0417591,0.0258313],[-0.0068816,-2.0761239,0.0022585,0.999953,-0.0082192,-0.0016372,0.0048797],[-0.0125272,-1.3576331,-0.6822323,0.9987026,0.0085909,0.0348577,0.0361148],[-0.0688753,-1.2776959,0.6506265,0.9934258,0.0141839,-0.0600818,-0.0964058],[-1.3580802,-0.6887076,-0.016404,0.6963592,0.0152231,0.7150998,0.0590295],[-0.2013818,-0.4669564,1.2907959,0.99752,0.0143092,0.0504172,0.0469811],[-0.0060431,-0.0019871,-2.0778011,0.9999638,-0.0072058,-0.0042836,-0.001436],[0.0091612,0.0363787,-0.61418,0.9842097,-0.1025829,-0.1037837,0.100185],[-0.1294491,-0.5397729,0.105253,0.9996436,0.0203862,0.0057086,-0.0162607],[0.0021128,-3.1e-06,2.0835527,0.9999876,-0.0045021,-0.0015007,-0.0014872],[0.0186304,0.7000272,-1.3643743,0.9994787,-0.018237,-0.0229093,0.0135986],[0.0135304,0.6487782,0.0193187,0.6098781,0.0058773,-0.7774775,0.1534367],[0.0048518,0.6700922,1.3780513,0.9984603,-0.0214304,-0.0126256,-0.0495817],[0.0209491,1.3668978,-0.6786068,0.9989256,-0.0100314,-0.026064,0.0369819],[0.0104637,2.0689581,-0.0034053,0.99989,-0.0125881,-0.0025017,0.0074313],[0.677576,-1.3748968,-0.0112926,0.9984588,-0.0092799,0.0476687,0.0268631],[0.6796934,-0.6845085,-0.6742811,0.9931124,-0.0633771,0.0748249,0.0641276],[0.6563512,-0.7039803,0.7295562,0.9868055,-0.0934788,0.0934788,-0.0934788],[0.6948155,0.0115774,-1.374896,0.9997338,-0.0122936,-0.0103933,0.0165254],[0.6271576,0.0093802,-0.0004283,0.9846356,-0.1069884,-0.1002674,0.0948294],[0.6553475,-0.0121425,1.3634881,0.9965312,-0.0772838,-0.014554,-0.0272201],[0.6809591,0.6785543,0.7000995,0.9928783,-0.0677322,-0.0784562,-0.0587336],[0.6982173,1.3632113,-0.0088276,0.9991366,-0.0355388,-0.0069715,0.0203564],[1.3436065,-0.6969945,-0.0142817,0.9972002,-0.0124309,0.0645927,0.0355671],[1.3421643,-0.0134751,0.7111325,0.9988016,-0.0081579,0.0238138,-0.041973],[1.377741,0.679488,-0.0059758,0.999452,-0.0237708,-0.0224979,0.0049494],[2.0834528,-0.0032174,0.0010648,0.9999898,0.0007616,-0.0038152,0.002278],[-2.0614768,0.0058953,0.0037383,0.0193079,-0.0036314,0.7052258,-0.7087105],[-0.6960624,-0.7010898,-0.6927355,0.9916679,0.0743748,0.0743748,0.0743748],[-0.6802215,-1.3607313,-0.0141981,0.4904058,0.542146,-0.4427619,-0.5191741],[-0.7504195,0.5493838,0.6279446,0.6324521,-0.534159,0.3297796,-0.4537885],[-0.0133585,-0.6942103,-1.3511732,0.5492839,-0.5059263,-0.4597983,-0.4805323],[0.0052419,1.3667332,0.7100072,0.717706,-0.0093272,0.0038842,0.6962729],[1.3688355,0.0102576,-0.6865996,0.7003147,-0.7120972,-0.048022,0.013072],[0.7002409,0.6909146,-0.6843441,0.0492498,0.0495023,-0.0419505,-0.9966765]]}],"hasref":false,"family":"platonic","group":"platonic","title":"Octahedra in an octahedron","unit":"edge"},{"id":"icoinico","piece":"icosahedron","container":"icosahedron","rows":[{"n":2,"s":"1.96308+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.9630862485264,"st":1.963086047134,"cf":null,"den":0.2644,"vlb":1.25992,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n02.json","ok":true,"ver":true,"cert":["(1) containment, exact, 480 vertex/face tests: ok;  min wall gap ~ 1.000000382470e-07","(2) separation, exact, 1 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[0.1373884,0.3745453,0.6752084,0.5082495,0.407731,-0.6266973,-0.4274206],[-0.1373884,-0.3745453,-0.6752084,0.1179236,0.7471283,-0.5020814,0.4192942]]},{"n":3,"s":"2.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.0000001984754,"st":2.0,"cf":"2","den":0.375,"vlb":1.44225,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n03.json","ok":true,"ver":true,"cert":["(1) containment, exact, 720 vertex/face tests: ok;  min wall gap ~ 1.000000268375e-07","(2) separation, exact, 3 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-0.0,-0.5,0.809017,0.5,0.5,-0.5,-0.5],[0.8053226,-0.0022833,-0.5014112,0.809017,0.0,-0.309017,-0.5],[-0.5,0.809017,-0.0,0.5,0.309017,-0.0,0.809017]]},{"n":4,"s":"2.14589+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.1458982418782,"st":2.14589803375,"cf":"(11 - 3\u221a5)/2","den":0.4048,"vlb":1.5874,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n04.json","ok":true,"ver":true,"cert":["(1) containment, exact, 960 vertex/face tests: ok;  min wall gap ~ 1.000000502335e-07","(2) separation, exact, 6 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999996380960e-08"],"p":[[0.5977594,0.858293,0.0439477,0.4994113,-0.0019018,-0.8092398,0.3093796],[-0.9256329,-0.0008765,0.5734908,0.5,0.5,0.5,0.5],[-0.309017,-0.0,-0.809017,0.309017,0.809017,0.0,-0.5],[0.4365245,-0.8418583,0.2216173,0.8086617,0.3095914,-0.5002193,0.0002712]]},{"n":5,"s":"2.23606+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.2360681915931,"st":2.2360679775,"cf":"\u221a5","den":0.4472,"vlb":1.70998,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n05.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1200 vertex/face tests: ok;  min wall gap ~ 1.000000404905e-07","(2) separation, exact, 10 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003359e-07"],"p":[[0.0,-0.0,-1.0000001,0.809017,0.0,0.309017,0.5],[-0.618034,-1.0000001,-0.0,0.0,0.5,-0.309017,0.809017],[-0.809017,0.5,0.309017,0.809017,-0.309017,0.5,0.0],[0.618034,1.0000001,-0.0,0.809017,0.309017,0.5,-0.0],[0.809017,-0.5,0.309017,0.0,-0.809017,0.5,-0.309017]]},{"n":6,"s":"2.34164+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.3416410075777,"st":2.3416407865,"cf":"(5 + 3\u221a5)/5","den":0.4673,"vlb":1.81712,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n06.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1440 vertex/face tests: ok;  min wall gap ~ 1.000000277989e-07","(2) separation, exact, 15 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999961430e-08"],"p":[[0.219009,-0.8022696,-0.7349521,0.8090093,0.3090199,-0.5000107,-9.5e-06],[0.2283477,0.8119471,-0.7159359,1.0,-0.0,0.0,-0.0],[1.0824802,-0.007671,0.2283477,0.809017,0.0,0.309017,0.5],[-0.2283477,-0.8119471,0.7159359,0.5,-0.5,-0.5,-0.5],[-1.0824802,0.007671,-0.2283477,0.309017,-0.0,-0.5,0.809017],[-0.2187143,0.8020317,0.7354847,0.8090096,-0.5000434,-0.0,-0.3089661]]},{"n":7,"s":"2.44931+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.4493162486317,"st":2.44931602043,"cf":"(149 + 67\u221a5)/122","den":0.4764,"vlb":1.91293,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n07.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1680 vertex/face tests: ok;  min wall gap ~ 1.000000530538e-07","(2) separation, exact, 21 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000861e-07"],"p":[[-0.0,0.0943162,-1.1725214,0.309017,0.5,-0.809017,0.0],[-0.9194444,0.6625641,0.3151709,0.0,-0.809017,-0.5,-0.309017],[-0.893376,-0.730812,-0.2729914,0.309017,0.5,0.809017,-0.0],[1.1725214,-0.0,0.7246581,0.5,0.809017,-0.309017,-0.0],[0.5199145,1.1303419,-0.1104274,0.809017,0.309017,-0.5,0.0],[-0.2208547,-0.5881623,1.0881624,0.5,0.5,0.5,0.5],[0.5881623,-1.0881624,-0.2208547,0.309017,-0.809017,0.0,0.5]]},{"n":8,"s":"2.49661+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.4966170580654,"st":2.496616826734,"cf":"(81 + 33\u221a5)/62","den":0.5141,"vlb":2.0,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n08.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1920 vertex/face tests: ok;  min wall gap ~ 1.000000675402e-07","(2) separation, exact, 28 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[0.809017,1.0518514,0.0982286,0.0,-0.5,0.309017,0.809017],[-0.0982286,0.4161028,1.1732686,0.5,0.5,-0.5,0.5],[-0.7483085,1.2107885,-0.0,0.309017,-0.0,-0.5,-0.809017],[-0.0,0.5518514,-1.2107885,0.0,-0.5,-0.309017,0.809017],[-0.3608683,-0.9822855,0.5982286,0.0,0.809017,-0.5,0.309017],[-1.1268913,-0.2196457,-0.4911428,0.0,1.0,-0.0,0.0],[1.03752,-0.4072456,0.5143314,0.5,-0.0,-0.809017,0.309017],[0.228503,-0.9072456,-0.7946857,1.0,0.0,0.0,-0.0]]},{"n":9,"s":"2.58295+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.5829546028822,"st":2.582954365839,"cf":null,"den":0.5223,"vlb":2.08008,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n09.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2160 vertex/face tests: ok;  min wall gap ~ 1.000000690785e-07","(2) separation, exact, 36 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999961430e-08"],"p":[[0.7630972,1.2630973,0.0459198,0.0,-0.5,0.309017,0.809017],[0.0,0.6211972,1.2806371,0.5,0.5,-0.5,0.5],[-0.8265569,1.1887974,0.05676,0.309017,0.0,-0.5,-0.809017],[-0.0459198,0.7630972,-1.2630973,0.0,-0.5,-0.309017,0.809017],[-0.6253377,-0.7672378,0.6795387,0.0,0.809017,-0.5,0.309017],[-1.2280176,-0.1377595,-0.7063372,0.0,1.0,-0.0,0.0],[0.8915981,-0.5025591,0.6779572,0.5,-0.0,-0.809017,0.309017],[0.0526194,-1.0210764,-0.6795387,1.0,-0.0,-0.0,-0.0],[1.2806371,0.0,-0.7914772,0.5,0.0,0.809017,-0.309017]]},{"n":10,"s":"2.60989+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.6098928624809,"st":2.609892623656,"cf":null,"den":0.5625,"vlb":2.15443,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n10.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2400 vertex/face tests: ok;  min wall gap ~ 1.000000149792e-07","(2) separation, exact, 45 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[0.7054931,0.720221,-0.6816629,0.1172318,0.1172318,-0.1172318,-0.9791681],[-1.2811162,0.0050316,-0.8130877,0.0,0.309017,-0.809017,0.5],[-0.8049464,-1.3024306,0.0,0.309017,0.0,-0.5,0.809017],[0.8065012,-1.2851869,-0.0156888,0.5,-0.5,0.5,0.5],[-1.2983599,0.0106572,0.7983599,0.0,-0.0,0.0,1.0],[1.2745297,0.0730454,0.664481,0.0,0.5,0.309017,0.809017],[0.013173,0.8130877,1.2811162,0.809017,-0.5,0.0,0.309017],[-0.6669969,1.2729748,-0.0771161,0.809017,0.5,-0.0,-0.309017],[0.0106572,-0.7983599,1.2983599,0.309017,-0.0,-0.5,-0.809017],[0.0943598,-0.6299937,-1.2663883,0.0,0.309017,0.809017,0.5]]},{"n":11,"s":"2.61803+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.6180342210669,"st":2.61803398875,"cf":"(3 + \u221a5)/2","den":0.613,"vlb":2.22398,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n11.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2640 vertex/face tests: ok;  min wall gap ~ 1.000000704246e-07","(2) separation, exact, 55 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-0.809017,1.3090171,-0.0,0.309017,-0.5,-0.809017,0.0],[0.809017,-1.3090171,-0.0,0.309017,-0.0,-0.5,-0.809017],[-1.3090171,0.0,-0.809017,0.0,-0.309017,-0.809017,-0.5],[0.0,0.809017,1.3090171,0.5,-0.5,-0.5,-0.5],[0.809017,1.3090171,0.0,0.5,-0.809017,0.309017,-0.0],[1.3090171,0.0,0.809017,0.0,0.809017,0.5,-0.309017],[0.0,-0.809017,1.3090171,0.809017,-0.5,0.0,-0.309017],[-0.809017,-1.3090171,0.0,0.809017,0.5,0.0,0.309017],[0.0,-0.809017,-1.3090171,0.5,-0.5,0.5,0.5],[-1.3090171,0.0,0.809017,0.0,0.809017,-0.5,0.309017],[0.0,0.809017,-1.3090171,0.809017,-0.0,0.309017,0.5]]},{"n":12,"s":"2.61803+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.6180342210669,"st":2.61803398875,"cf":"(3 + \u221a5)/2","den":0.6687,"vlb":2.28943,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n12.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2880 vertex/face tests: ok;  min wall gap ~ 1.000000695913e-07","(2) separation, exact, 66 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-0.0,0.809017,-1.3090171,0.309017,0.5,0.809017,0.0],[-0.809017,1.3090171,0.0,0.0,-1.0,0.0,0.0],[0.0,-0.809017,-1.3090171,0.5,-0.0,-0.809017,-0.309017],[-0.0,-0.809017,1.3090171,0.309017,-0.809017,-0.0,-0.5],[0.0,0.809017,1.3090171,0.809017,-0.0,0.309017,0.5],[-0.809017,-1.3090171,0.0,0.809017,0.5,0.0,0.309017],[0.809017,-1.3090171,-0.0,0.5,-0.809017,0.309017,0.0],[0.809017,1.3090171,0.0,0.809017,0.5,0.0,-0.309017],[-1.3090171,0.0,-0.809017,1.0,-0.0,0.0,-0.0],[1.3090171,-0.0,0.809017,0.0,-0.309017,-0.809017,0.5],[-1.3090171,-0.0,0.809017,0.309017,0.809017,-0.0,0.5],[1.3090171,-0.0,-0.809017,0.309017,-0.5,0.809017,0.0]]},{"n":13,"s":"2.80901+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.8090172337386,"st":2.809016994375,"cf":"(9 + \u221a5)/4","den":0.5865,"vlb":2.35133,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n13.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3120 vertex/face tests: ok;  min wall gap ~ 1.000000739500e-07","(2) separation, exact, 78 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[0.0,0.9045086,-1.4635256,0.309017,0.5,0.809017,-0.0],[-0.9045086,1.4635256,0.0,0.0,1.0,0.0,0.0],[0.0,-0.9045086,-1.4635256,0.5,-0.0,-0.809017,-0.309017],[0.0,-0.9045086,1.4635256,0.309017,-0.809017,-0.0,-0.5],[0.0,0.9045086,1.4635256,0.809017,-0.0,0.309017,0.5],[-0.9045086,-1.4635256,0.0,0.809017,0.5,0.0,0.309017],[0.9045086,-1.4635256,0.0,0.5,-0.809017,0.309017,0.0],[0.9045086,1.4635256,0.0,0.809017,0.5,0.0,-0.309017],[-1.4635256,0.0,-0.9045086,1.0,-0.0,-0.0,-0.0],[1.4635256,0.0,0.9045086,0.0,-0.309017,-0.809017,0.5],[-1.4635256,0.0,0.9045086,0.309017,0.809017,-0.0,0.5],[1.4635256,0.0,-0.9045086,0.309017,-0.5,0.809017,-0.0],[0.0,0.0,0.0,0.3535534,0.9256148,0.0,-0.1350454]]},{"n":14,"s":"3.01780+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.0178019656471,"st":3.017801685357,"cf":null,"den":0.5094,"vlb":2.41014,"move":"reinsert","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n14.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3360 vertex/face tests: ok;  min wall gap ~ 1.000000720271e-07","(2) separation, exact, 91 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-0.7196263,-1.4536544,-0.4680562,0.309017,0.5,-0.809017,-0.0],[0.458185,0.41671,1.4574249,0.5720614,0.3535534,-0.7071068,-0.218508],[0.8642636,-1.5430452,-0.2340281,0.5,0.5,-0.5,-0.5],[-1.4574249,-0.458185,0.41671,0.5720614,-0.1350454,0.5720614,-0.5720614],[-0.1320127,-1.152284,1.1190752,0.7111617,-0.6441439,-0.140176,0.2442916],[1.5430452,-0.2340281,-0.8642636,0.809017,0.309017,-0.5,-0.0],[1.4536544,-0.4680562,0.7196263,0.5,-0.0,0.809017,-0.309017],[0.0102793,-0.0219366,-0.0145082,0.3564987,0.7799327,0.0282882,-0.5136277],[-1.2502939,0.0245404,-1.099144,0.6747085,0.3241582,0.6505369,-0.1284197],[0.4680562,0.7196263,-1.4536544,0.0,0.309017,0.809017,0.5],[0.2340281,-0.8642636,-1.5430452,0.5,0.0,0.809017,0.309017],[-0.41671,1.4574249,-0.458185,0.3535534,-0.7071068,0.5720614,0.218508],[1.187932,1.0489259,0.0008617,0.3844709,-0.7939549,-0.3574773,-0.3066394],[-0.8804456,0.8804456,0.8804456,0.809017,-0.25,0.3454915,-0.4045085]]},{"n":15,"s":"3.04832+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.0483212014219,"st":3.048320931579,"cf":null,"den":0.5296,"vlb":2.46621,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n15.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3600 vertex/face tests: ok;  min wall gap ~ 1.000000224146e-07","(2) separation, exact, 105 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000029e-07"],"p":[[1.298131,-0.8203162,0.5216429,0.0040225,0.5170089,0.3898807,-0.7620227],[0.0188016,-0.0196244,0.0354901,0.4966326,-0.0045604,0.8341069,-0.2400021],[-0.6194506,-1.4705006,0.4760055,0.425595,0.0588706,-0.8579746,-0.2815719],[-1.3245752,0.8039729,-0.4788554,0.4587361,-0.0262807,0.7980373,-0.3898807],[0.4627611,-1.4018139,-0.6242751,0.8296203,-0.5045792,-0.0738335,0.2273295],[-0.1595157,1.5892299,0.1336137,0.0857725,0.3748812,-0.7901837,0.4771969],[1.4125492,-0.2273277,-1.0389295,0.4616777,-0.0395531,-0.8585872,0.2193563],[0.0639889,1.1398785,-1.3501593,0.1085532,-0.0411533,-0.9932354,0.0024801],[-1.5772501,-0.2053923,0.7721222,0.2845916,-0.5290943,0.7920811,-0.1080481],[-1.2677886,-0.7074004,-0.6790585,0.4419445,-0.8294879,0.3292135,-0.090848],[0.1004954,-0.7072923,1.6173171,0.2183822,0.8164915,0.0648265,0.530517],[1.23611,1.0895211,-0.2408686,0.5680307,-0.4718042,-0.422719,-0.5254052],[-0.5297809,0.7602365,1.3834902,0.5304342,0.4018888,0.5331646,-0.5223605],[0.9646654,0.52006,1.1695221,0.4256855,0.8176516,0.386509,0.0291297],[-0.0865077,-0.3790278,-1.619227,0.7554162,-0.5221753,0.0381711,-0.3939825]]},{"n":16,"s":"3.12130+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.121305388046,"st":3.121305114637,"cf":null,"den":0.5262,"vlb":2.51984,"move":"reinsert","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n16.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3840 vertex/face tests: ok;  min wall gap ~ 1.000000497207e-07","(2) separation, exact, 120 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000004747e-07"],"p":[[-1.027266,0.2800561,-1.3201572,0.8124412,0.528334,0.0493825,-0.2415861],[1.4951205,0.5692061,-0.5631527,0.4773941,-0.3240085,-0.0839798,-0.8124412],[0.6387323,1.6886636,0.0720179,0.0289611,-0.7684373,0.5217804,-0.369338],[0.8395561,-0.552872,-1.3576757,0.5057093,0.0453606,-0.7827007,0.3599724],[-0.9568144,-0.2436629,1.3373802,0.4830349,-0.0374498,-0.7853139,-0.3854307],[1.4850745,-0.5701455,0.4826374,0.4673414,-0.0314554,0.795013,-0.3854307],[0.2941779,-1.1162993,1.3663473,0.0,0.8163781,0.4202329,-0.3961452],[-0.9075317,-1.4953728,0.3739201,0.0682135,0.2857735,-0.8585364,0.4202329],[-1.6890076,-0.0278821,0.0167657,0.4996258,0.0476843,0.7864605,0.3599724],[0.8494515,0.4909921,1.375196,0.0129841,0.7827007,-0.5580956,-0.2752095],[-0.0488448,0.0102217,0.0079554,0.817123,0.0479443,0.3396857,-0.4632763],[0.6133538,-1.6771848,-0.1020698,0.4623912,-0.5727629,0.5306047,-0.4202329],[-0.5282601,-1.1614894,-1.0655209,0.4911632,0.8396203,-0.230103,-0.0291396],[-0.8994557,1.5275277,-0.3498413,0.8442584,-0.2935169,0.4459593,0.04686],[0.2607233,1.1327694,-1.3833319,0.9967008,-0.04686,-0.04686,0.04686],[-0.4678545,1.2040914,1.0989986,0.7958517,0.0803022,0.2875379,-0.5267766]]},{"n":17,"s":"3.19692+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.1969239172634,"st":3.196923639527,"cf":null,"den":0.5203,"vlb":2.57128,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n17.json","ok":true,"ver":true,"cert":["(1) containment, exact, 4080 vertex/face tests: ok;  min wall gap ~ 1.000000667710e-07","(2) separation, exact, 136 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003082e-07"],"p":[[-1.5983711,-0.1136032,-1.1637501,0.8085038,0.5012342,0.0039232,-0.3083349],[1.3071596,0.5506537,-1.0159562,0.5019412,-0.3098616,-0.0042763,-0.8074791],[0.4600754,1.6495038,-0.3347021,0.0020536,-0.8086197,0.4989701,-0.3117032],[1.4346029,-0.8895297,-0.5508895,0.5010746,0.0010027,-0.8068624,0.3128837],[-1.5983711,0.1136032,1.1637501,0.4972846,8.62e-05,-0.8094731,-0.3121879],[1.3071596,-0.5506537,1.0159562,0.4980699,0.0010179,0.8084824,-0.3134988],[-0.003171,-1.092661,1.7743767,0.003394,-0.8124345,-0.4937868,0.3100215],[-1.0463057,-1.2740452,0.5554597,0.0018509,0.3084434,-0.8105102,0.4979281],[0.3360214,0.4713039,1.6463363,0.0031995,-0.8059039,0.5053003,0.3085128],[-0.1005772,0.0242053,0.0237608,0.8209846,0.0151923,0.3257999,-0.4686235],[0.4600754,-1.6495038,0.3347021,0.4977009,-0.5010236,0.5022928,-0.4989701],[-0.5728617,-1.4182561,-0.8843926,0.4983175,0.8120039,-0.3038482,-0.0023642],[-1.0463057,1.2740452,-0.5554597,0.8105102,-0.3084434,0.4979281,0.0018509],[-0.003171,1.092661,-1.7743767,0.9999686,0.0003236,-0.0014536,0.0077841],[-0.5728617,1.4182561,0.8843926,0.8082669,0.0061012,0.3075852,-0.5020546],[0.3360214,-0.4713039,-1.6463363,0.0062006,-0.4987223,-0.3118611,-0.8086905],[1.4346029,0.8895297,0.5508895,0.4982702,-0.4993064,0.4984262,-0.5039754]]},{"n":18,"s":"3.19821+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.1982129947936,"st":3.198212717046,"cf":"(24 + 5\u221a5)/11","den":0.5502,"vlb":2.62074,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n18.json","ok":true,"ver":true,"cert":["(1) containment, exact, 4320 vertex/face tests: ok;  min wall gap ~ 1.000000654890e-07","(2) separation, exact, 153 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-1.0991064,0.0,-1.3585703,0.809017,0.5,0.0,-0.309017],[1.3090171,0.5495532,-1.0189277,0.5,-0.309017,0.0,-0.809017],[0.4693745,1.6486596,-0.3396426,0.0,0.809017,-0.5,0.309017],[1.438749,-0.8891958,-0.5495532,0.5,-0.0,-0.809017,0.309017],[-1.0991064,-0.0,1.3585703,0.5,-0.0,-0.809017,-0.309017],[1.3090171,-0.5495532,1.0189277,0.5,0.0,0.809017,-0.309017],[0.0,-1.0991064,1.7783916,0.0,-0.809017,-0.5,0.309017],[-1.0189277,-1.3090171,0.5495532,0.0,0.309017,-0.809017,0.5],[0.3396426,0.4693745,1.6486596,0.0,0.809017,-0.5,-0.309017],[-0.0729102,0.060764,0.0676418,0.8166754,0.0255641,0.3138096,-0.4836439],[0.4693745,-1.6486596,0.3396426,0.5,-0.5,0.5,-0.5],[-0.5495532,-1.438749,-0.8891958,0.5,0.809017,-0.309017,-0.0],[-1.0189277,1.3090171,-0.5495532,0.809017,-0.309017,0.5,-0.0],[0.0,1.0991064,-1.7783916,1.0,0.0,-0.0,-0.0],[-0.5495532,1.438749,0.8891958,0.809017,-0.0,0.309017,-0.5],[0.3396426,-0.4693745,-1.6486596,0.0,0.5,0.309017,0.809017],[1.438749,0.8891958,0.5495532,0.5,-0.5,0.5,-0.5],[-1.7783916,-0.0,0.0,0.309017,-0.5,-0.809017,-0.0]]},{"n":19,"s":"3.31147+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.3114714786848,"st":3.311471190958,"cf":null,"den":0.5232,"vlb":2.6684,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n19.json","ok":true,"ver":true,"cert":["(1) containment, exact, 4560 vertex/face tests: ok;  min wall gap ~ 1.000000315167e-07","(2) separation, exact, 171 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005025e-07"],"p":[[-1.5195535,-0.9175321,0.2320315,0.700942,0.5806831,-0.3467095,-0.2264506],[-0.6814618,-0.6381926,1.548769,0.098304,0.6379662,0.7503137,0.1427056],[-0.2452434,-1.7909783,-0.0478842,0.4813733,0.5734908,0.6178928,0.2399927],[0.9612567,0.2247844,1.4999741,0.5138822,0.3023204,0.0024231,0.802821],[1.4547738,-0.2051676,-1.3105971,0.3077168,-0.8142228,-0.0200727,-0.4918827],[0.7001734,-1.2304284,1.0951535,0.5607948,-0.2265879,0.3542436,-0.7132171],[1.8640527,0.00186,0.2345622,0.0123265,0.8106514,-0.5029952,-0.2994798],[-1.5796346,0.7428173,-0.6942087,0.4974097,-0.4970713,-0.5136305,0.4916172],[-1.6828866,0.4458651,0.8920086,0.9997915,0.0138864,-0.0130601,-0.0073149],[0.680041,1.5710538,0.7647609,0.5081269,0.0084595,0.8004497,-0.3178298],[1.2415434,1.1518595,-0.6323524,0.5061016,0.8064544,-0.3051027,0.0201204],[-1.1290957,-0.6630695,-1.2287851,0.3100247,-0.5060975,0.8046833,0.0153249],[-0.2338152,1.4887629,-0.9981429,0.4862217,0.4937762,-0.5059997,0.5135542],[-0.0020414,0.2076355,-1.8634044,0.4945749,-0.013624,0.8086504,0.3182682],[-0.8761398,1.7240284,0.3725685,0.2930897,0.0141339,-0.50108,-0.814136],[0.2542463,-1.2707183,-1.4992236,0.3062527,0.0136316,-0.4854685,0.8187453],[1.309032,-1.4239119,-0.2877355,0.013289,0.4895014,0.3012458,-0.818207],[-0.0657591,-4.92e-05,-9e-07,0.1531577,0.0016389,-0.9457049,-0.2866745],[-0.3784472,0.9467195,1.698982,0.5066789,0.3063529,-0.0204904,0.8056081]]},{"n":20,"s":"3.35370+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.3537099293591,"st":3.353709641291,"cf":null,"den":0.5302,"vlb":2.71442,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n20.json","ok":true,"ver":true,"cert":["(1) containment, exact, 4800 vertex/face tests: ok;  min wall gap ~ 1.000000425417e-07","(2) separation, exact, 190 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000006829e-07"],"p":[[1.5519389,0.9222085,0.5354491,0.8093504,-0.4995389,0.0004123,-0.3088895],[1.6581932,-0.5866701,-0.826908,0.0067883,0.5035122,-0.3020231,-0.8094513],[-1.6749748,0.5997821,0.7861619,0.8093504,0.4993811,0.0001943,-0.3091445],[-0.7233001,-0.224689,1.6279152,0.0,0.8092717,-0.4995275,0.3091143],[1.6749746,-0.5997827,0.7861642,0.3087323,-9.73e-05,-0.5006186,0.8087431],[-0.375683,1.4097093,1.2944972,0.5002341,0.8091428,-0.3083074,-0.0005561],[-1.1052686,-0.9564833,-1.018976,0.3098526,0.5001595,0.8085987,-6.18e-05],[1.1052708,0.9564831,-1.0189741,0.0003573,0.0007743,-0.0004185,0.9999995],[-6e-07,-0.0,-1.903919,0.5003558,0.4996434,-0.5003565,0.4996438],[0.344876,-1.3977434,-1.3258977,0.3088384,-0.8085494,-0.0,-0.500866],[0.452884,1.9036423,-0.0011668,0.3092241,0.8095586,-0.0001671,0.4989943],[-1.6581913,0.5866697,-0.8269097,0.3020226,-0.8094513,-0.0067889,0.5035125],[-0.3448738,1.3977433,-1.3258978,0.3082609,-0.0005775,0.5002885,-0.8091269],[-0.4528835,-1.9036423,-0.0011668,0.0007536,0.808972,0.4995809,0.3098106],[0.7232999,0.2246908,1.6279152,0.0001947,-0.9999999,-0.0005096,0.0],[-1.1615118,1.8954728,-0.0228251,0.309208,-0.8085161,0.0006186,0.5006913],[0.3756844,-1.4097094,1.2944998,0.0008626,-0.3088495,0.8088915,-0.5003057],[-1.5519379,-0.9222112,0.5354524,0.8090955,-0.0006671,0.3091443,0.4997937],[-0.1668775,-0.137097,0.0158038,0.3150469,0.7718448,-0.0137561,-0.5520976],[1.1615125,-1.8954733,-0.0228239,0.3088257,-0.8085161,0.0,-0.5009276]]},{"n":21,"s":"3.40705+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.4070521508362,"st":3.407051859262,"cf":null,"den":0.531,"vlb":2.75892,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n21.json","ok":true,"ver":true,"cert":["(1) containment, exact, 5040 vertex/face tests: ok;  min wall gap ~ 1.000000424135e-07","(2) separation, exact, 210 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000008217e-07"],"p":[[-1.877523,0.1827989,-0.0914447,0.4798323,0.3201306,-0.0617278,0.8145349],[-4e-07,0.0068696,3e-07,0.2664465,0.3451583,-0.8911712,0.1252432],[0.4134005,-1.467385,-1.2067412,0.2519106,-0.5413654,0.8014882,0.0328827],[0.2020112,-0.111796,-1.8701846,0.4766654,-0.0708518,0.8150497,0.3216584],[-1.1431911,1.5917579,-0.415923,0.0871814,-0.4708773,0.3243185,-0.8157766],[0.006796,0.3954797,1.9174505,0.4621461,0.4561473,-0.5386672,-0.5368317],[-1.2398618,0.3780433,-1.4624765,0.3097697,0.8226041,0.067553,-0.4720188],[-0.7355867,1.3791451,1.0361403,0.7997258,-0.2962656,-0.5183502,-0.0630749],[0.3315353,1.9181796,0.0044451,0.5340169,-0.4667394,0.4531296,-0.5400499],[1.0657169,-0.6802495,1.4049056,0.5465674,0.321416,0.0428867,0.7720859],[-1.5017215,-0.01329,1.3737394,0.238769,0.8157032,-0.05268,-0.5242543],[1.9177762,0.0357911,0.3639201,0.4686095,-0.5370378,0.5381206,0.4499131],[1.381887,1.0743352,-0.6946499,0.3653117,-0.0,0.4497289,-0.8150406],[1.0381002,1.0692457,1.0368405,0.4725126,-0.8180672,0.3214346,-0.0646349],[-1.4391967,-1.2604153,0.3979011,0.7826757,0.0359284,0.3737327,-0.496439],[-1.035035,-1.0655286,-1.0477967,0.6126193,-0.1595365,-0.7741063,0.0022638],[1.3939673,-1.4487643,0.0175596,0.7952417,-0.3780202,-0.4709601,0.0537386],[1.6456795,-0.3512081,-1.13502,0.7610585,-0.3854591,0.5188749,0.0545897],[-0.0045226,1.3516484,-1.5288269,0.42788,0.0495028,-0.8601041,-0.273293],[-0.3632979,-1.1146676,1.6541502,0.0433781,-0.4214364,0.2870096,0.8591479],[-0.0565674,-1.850911,0.2388057,0.5381003,0.5254355,-0.4770454,0.4547453]]},{"n":22,"s":"3.47954+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.4795483794984,"st":3.479548082474,"cf":null,"den":0.5222,"vlb":2.80204,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n22.json","ok":true,"ver":true,"cert":["(1) containment, exact, 5280 vertex/face tests: ok;  min wall gap ~ 1.000000313885e-07","(2) separation, exact, 231 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002249e-07"],"p":[[-1.8201565,-0.423843,-0.1356703,0.195079,0.3330292,0.0374811,0.9217543],[-0.2724072,-0.3825929,0.250283,0.1528034,0.6037892,-0.5576241,0.5487668],[0.8391635,-1.4227391,-0.9836041,0.0816039,-0.6628332,0.744307,-0.0002534],[0.2448057,-0.3545192,-1.9124892,0.3852795,-0.2908321,0.8031395,0.3492038],[-1.5628647,1.1601347,-0.3922912,0.0114564,-0.4941734,0.3239528,-0.8066697],[-0.1843176,0.3292747,1.9355936,0.493851,0.4972376,-0.5027173,-0.506104],[-1.2659456,0.0381024,-1.5048748,0.3075982,0.8293117,0.1610213,-0.4378328],[-0.9970446,1.2289674,1.0197588,0.808251,-0.3078006,-0.5019452,-0.006332],[-0.2500995,1.9541653,-0.1356962,0.5057132,-0.4974164,0.4942473,-0.5025441],[1.0838451,-0.563666,1.5889887,0.5091974,0.311118,0.0024263,0.8024449],[1.7889332,0.5682796,0.7959966,0.311087,-0.0067673,0.5075317,0.8034866],[0.4981579,1.5410986,1.2038413,0.4988438,-0.8099402,0.3083409,-0.0088115],[-1.1812843,-1.7552843,0.3092022,0.6872554,0.0780509,0.4668482,-0.5510362],[-0.7692684,-1.3610024,-1.1155,0.4206641,-0.3957053,-0.8163694,0.0],[1.9737184,0.0033504,-1.2437845,0.7977708,-0.3422126,0.4962749,0.0127881],[-0.0910429,1.2848895,-1.8698384,0.4971725,0.0090736,-0.8100498,-0.3107353],[-0.2838324,-1.2223662,1.7395721,0.0100639,-0.4886723,0.3058601,0.8170359],[0.4574253,-1.8260407,0.4711309,0.2389157,0.7222966,-0.3551462,0.543211],[0.5795907,0.4984048,-0.6399749,0.4302517,-0.8861788,0.1705231,-0.022192],[1.68053,-0.8193952,0.1863017,0.5161058,0.8064338,-0.2884045,-0.0110507],[1.3131197,1.8139754,-0.1052337,0.0041824,0.0,0.9999313,-0.0109497],[-1.576577,-0.267285,1.3885663,0.5049555,0.4698481,0.5029806,0.520839]]},{"n":23,"s":"3.55296+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.5529641704192,"st":3.552963869213,"cf":null,"den":0.5128,"vlb":2.84387,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n23.json","ok":true,"ver":true,"cert":["(1) containment, exact, 5520 vertex/face tests: ok;  min wall gap ~ 1.000000334396e-07","(2) separation, exact, 253 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[1.5922549,1.2386871,0.5109313,0.809017,-0.5,-0.0,-0.309017],[1.3642167,0.0909572,-1.5443069,0.0,-0.5,0.309017,0.809017],[-2.0653913,-0.0,1.276482,0.809017,0.5,-0.0,-0.309017],[1.6155173,-0.4402488,1.2861072,0.309017,-0.0,-0.5,0.809017],[-0.7611541,1.1388812,1.4418379,0.5,0.809017,-0.309017,-0.0],[-1.1472779,-1.3090171,-0.8855784,0.309017,0.5,0.809017,0.0],[1.0035385,1.4561016,-0.8822332,0.0,0.0,-0.0,1.0],[-0.170165,0.309962,-1.9826873,0.5,0.5,-0.5,0.5],[1.3616599,-1.8423927,0.1378207,0.809017,-0.5,-0.0,0.309017],[-0.0,-1.276482,-2.0653913,0.309017,-0.809017,-0.0,-0.5],[-0.5526429,1.6180341,-1.1711963,0.309017,-0.0,0.5,-0.809017],[-0.1711963,-2.0653913,-0.0,0.0,-0.809017,-0.5,-0.309017],[0.7179569,0.7751759,1.7911562,0.0,-0.809017,0.5,-0.309017],[0.5526429,-0.8296443,-0.658448,0.809017,-0.5,-0.0,0.309017],[2.0208752,-0.1165447,-0.177094,0.5,-0.309017,0.0,-0.809017],[0.2891512,0.4028667,0.3306657,0.4942723,0.8093295,0.3166687,0.0200378],[-1.4724605,1.552313,0.0954987,0.5,-0.309017,0.0,-0.809017],[-1.1472779,-1.3090171,0.8855784,0.5,0.0,-0.809017,-0.309017],[-0.5086166,-0.3151828,1.871117,0.5,0.0,-0.809017,0.309017],[0.0194554,1.9748157,0.2371299,0.5049964,-0.8069541,-0.3058336,0.0164187],[0.4148221,-1.5328562,1.394195,0.809017,0.0,0.309017,-0.5],[-1.7110599,0.1080088,-1.4118246,0.809017,0.5,-0.0,0.309017],[-1.1711963,-0.0292438,-0.0,0.809017,-0.5,0.0,0.309017]]},{"n":24,"s":"3.59398+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.5939897843505,"st":3.593989480476,"cf":null,"den":0.517,"vlb":2.8845,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n24.json","ok":true,"ver":true,"cert":["(1) containment, exact, 5760 vertex/face tests: ok;  min wall gap ~ 1.000000588227e-07","(2) separation, exact, 276 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003359e-07"],"p":[[1.7489867,0.9152517,0.7289496,0.8099826,-0.4986621,0.0011957,-0.3086468],[-0.5641171,-0.4078185,1.8823208,0.0005161,-0.8100765,0.4973421,-0.3105265],[0.4294738,1.6952808,1.0554736,0.8093512,0.3093636,-0.4992442,-0.0001183],[-1.1984757,-1.3419292,-0.8435646,0.5363192,-0.4906163,-0.4842542,-0.4869859],[1.2351958,1.474371,-0.6808469,0.5205558,-0.2846872,-0.0052319,0.8049519],[-0.0,1.2969948,-2.0985817,0.5,0.5,-0.5,0.5],[1.3978088,-1.8346472,0.1613163,0.8097465,-0.4989899,-0.0009029,0.3087376],[-0.0,-1.2969948,-2.0985817,0.309017,-0.809017,-0.0,-0.5],[-0.194541,1.9748291,-0.323988,0.0003109,-0.8094239,-0.4997479,-0.3083585],[-2.0746951,-0.0159088,-1.2284665,0.0592571,-0.7832063,-0.5454082,0.2925856],[-1.5784603,1.3598339,-0.4466766,0.3094261,0.0003852,0.5020494,-0.8075901],[-0.1218613,-2.0912441,-0.0192102,0.0007469,0.8088737,0.4996261,0.3099945],[0.7571449,0.365491,1.8081619,0.0007702,-0.8101261,0.4974695,-0.3101922],[-1.0376348,1.2800609,0.9949784,0.2874694,0.8118726,0.0101105,-0.5080571],[0.5938029,-0.8775079,-0.7050052,0.8055446,-0.4997489,-0.0086148,0.3182368],[0.4244743,-1.5606255,1.4069351,0.0014157,-0.3086913,0.8083659,-0.5012507],[-1.1676292,-1.3825299,0.8454174,0.8086307,-0.0032318,0.3083979,0.5009957],[-2.0385188,-0.030253,1.2989184,0.4800053,0.2734419,-0.0027805,0.8335567],[1.9910495,-0.2769516,-0.4260958,0.4980445,-0.3191259,-0.0052005,-0.8062774],[0.3335278,0.441266,0.0588596,0.0355021,-0.4776435,0.3091361,-0.8216028],[-0.5179756,0.0004628,-1.3787101,0.3783252,0.3508077,0.0064687,0.8565992],[-1.101812,-0.0602804,0.0663825,0.7848966,-0.0138832,-0.341895,0.5165776],[1.12334,0.2405493,-1.6624179,0.8090995,0.3187744,-0.4936947,-0.0025448],[1.7244371,-0.5744037,1.0967357,0.8088436,-0.0,0.3078352,0.5010085]]},{"n":25,"s":"3.60901+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.6090192084633,"st":3.60901890355,"cf":null,"den":0.5318,"vlb":2.92402,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n25.json","ok":true,"ver":true,"cert":["(1) containment, exact, 6000 vertex/face tests: ok;  min wall gap ~ 1.000000251068e-07","(2) separation, exact, 300 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999996664067e-08"],"p":[[1.8280266,0.7401552,0.2847507,0.809017,-0.5,-0.0,-0.309017],[-0.6215446,-0.6996262,1.8733319,0.0,-0.809017,0.5,-0.309017],[0.8001684,1.4501803,1.1649016,0.809017,0.309017,-0.5,-0.0],[-1.2506521,-1.3090171,-0.8555812,0.0,-0.309017,-0.809017,-0.5],[1.0849191,1.4232223,-0.9071089,0.5,-0.309017,-0.0,0.809017],[0.0,1.3045095,-2.1107408,0.5,0.5,-0.5,0.5],[1.3191623,-2.0723793,-0.0237087,0.809017,-0.5,0.0,0.309017],[0.0,-1.3045095,-2.1107408,0.309017,-0.809017,0.0,-0.5],[0.0242573,2.1004437,-0.026958,0.0,0.809017,0.5,0.309017],[-2.1107408,-0.0,-1.3045095,0.0,0.809017,0.5,-0.309017],[-1.074061,1.4474796,-0.8937097,0.309017,0.0,0.5,-0.809017],[-0.3201307,-2.0920713,0.0488774,0.0,-0.809017,-0.5,-0.309017],[0.7745295,0.0804223,1.8148968,0.0,-0.809017,0.5,-0.309017],[-1.3045132,1.4744376,0.6362995,0.309017,0.809017,0.0,-0.5],[0.4533768,-0.9623032,-0.6658812,0.809017,-0.5,-0.0,0.309017],[0.5387468,-1.5802703,1.2962332,0.0,0.309017,-0.809017,0.5],[-1.480422,-1.2601397,0.6746886,0.809017,-0.0,0.309017,0.5],[-1.9570637,0.0955303,1.3622269,0.4997947,0.3091979,0.000149,0.8090747],[1.9072923,-0.5326351,-0.6191093,0.5,-0.309017,-0.0,-0.809017],[0.2472607,0.4061795,0.0401059,0.0088535,0.4959598,-0.3057447,0.8126904],[-0.5420591,0.017229,-1.3935995,0.3712473,0.3152041,0.0161659,0.8732471],[-1.2873936,0.0998173,-0.0009661,0.809017,-0.0,-0.309017,0.5],[1.033115,0.1142052,-1.716126,0.809017,0.309017,-0.5,-0.0],[1.8027754,-0.653472,0.9590029,0.809017,0.0,0.309017,0.5],[-0.5286021,0.9048478,1.9088327,0.309017,0.809017,0.0,-0.5]]},{"n":26,"s":"3.67328+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.6732857064553,"st":3.673285397278,"cf":null,"den":0.5246,"vlb":2.9625,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n26.json","ok":true,"ver":true,"cert":["(1) containment, exact, 6240 vertex/face tests: ok;  min wall gap ~ 1.000000101077e-07","(2) separation, exact, 325 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999996025689e-08"],"p":[[1.8563597,-0.1893494,-1.4536672,0.0,-0.5,0.309017,0.809017],[-1.1502486,0.6023883,1.7233776,0.809017,0.5,0.0,-0.309017],[0.0,-0.4260414,2.1627335,0.0,-0.809017,0.5,-0.309017],[1.6477356,-0.2535967,1.5333545,0.309017,-0.0,-0.5,0.809017],[-0.5332242,1.8082003,0.9281798,0.809017,0.309017,-0.5,0.0],[-1.6180533,-1.4259912,-0.1237821,0.309017,0.5,0.809017,-0.0],[1.7350585,1.1196677,-0.6446501,0.0,0.0,-0.0,-1.0],[0.3916203,0.21829,-1.9975322,0.5,0.5,-0.5,0.5],[0.0,-1.3366428,-2.1627335,0.309017,-0.809017,0.0,-0.5],[0.8068786,2.1614118,0.00346,0.309017,0.809017,-0.0,0.5],[-2.1627333,4e-07,-1.0177495,0.3090173,-0.8090169,-2e-07,0.4999999],[0.3132939,1.6180341,-1.4260414,0.309017,0.0,0.5,-0.809017],[-0.2575308,-2.1001653,-0.1540779,0.0013284,0.8092686,0.5006629,0.3072773],[0.3063738,1.1472934,2.0457091,0.0,0.809017,-0.5,0.309017],[-1.026809,1.9712456,-0.5013217,0.309017,0.809017,-0.0,-0.5],[0.6919927,-0.9983665,-0.809017,0.809017,-0.5,0.0,0.309017],[0.5954006,-1.5949585,1.3090171,0.0,-0.309017,0.809017,-0.5],[-0.9045492,-1.28581,1.3090171,0.809017,-0.0,0.309017,0.5],[-2.0644229,-0.2573803,0.8792863,0.809017,0.309017,-0.5,-0.0],[2.0780538,-0.2216941,0.0796873,0.5,-0.309017,-0.0,-0.809017],[0.2923161,-0.0473637,0.5107901,0.3300574,-0.5746162,0.4084762,-0.6277145],[-0.7707412,-0.5917851,-1.0602981,0.0,0.5,0.309017,0.809017],[-1.0124649,0.7788698,-1.7079836,0.8090148,-0.5000028,-1.3e-06,-0.3090181],[1.3366428,-2.1627335,-0.0,0.309017,0.809017,-0.0,-0.5],[-1.0757851,0.5768183,0.0840886,0.5,-0.5,-0.5,-0.5],[1.4996881,1.1162076,0.8834805,0.309017,-0.0,-0.5,-0.809017]]},{"n":27,"s":"3.70095+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.7009552859853,"st":3.700954974989,"cf":null,"den":0.5326,"vlb":3.0,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n27.json","ok":true,"ver":true,"cert":["(1) containment, exact, 6480 vertex/face tests: ok;  min wall gap ~ 1.000000331832e-07","(2) separation, exact, 351 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001139e-07"],"p":[[1.4466637,-0.1313931,-1.6325422,0.0827316,-0.4724699,0.3236031,0.8156033],[-0.9493366,0.3656184,1.8225043,0.809017,0.5,0.0,-0.309017],[-1.5949249,-1.5451472,-0.2163718,0.3122627,0.4987545,0.8085356,-0.0024817],[1.4900762,1.2161915,-0.8293286,0.0012695,0.0012695,-0.0012695,-0.9999976],[-0.0750516,0.2497534,-2.1385094,0.4999722,0.4999379,-0.5000621,0.5000278],[0.0,-1.3504776,-2.1851186,0.309017,-0.809017,-0.0,-0.5],[0.5185606,2.1641585,-0.0548742,0.309017,0.809017,0.0,0.5],[-2.1823163,-0.0073367,-0.4745075,0.309017,-0.809017,0.0,0.5],[0.025685,1.6180341,-1.4846466,0.309017,-0.0,0.5,-0.809017],[-0.1755517,-2.0845912,-0.2498563,0.0086248,0.8123435,0.4934863,0.3106363],[-1.1538152,2.0928473,-0.228312,0.3043348,0.8046218,0.0033372,-0.5098559],[-0.8303791,-1.5894509,1.1118988,0.8107357,-0.0031498,0.3086351,0.4974355],[-2.0112211,-0.446201,1.0781741,0.809017,0.309017,-0.5,-0.0],[2.0708731,-0.1951783,-0.2151405,0.4855591,-0.2881066,-0.0140737,-0.8252448],[0.6680067,-0.2639705,0.7875717,0.2687973,0.7867615,-0.0102862,0.5555615],[-1.3090171,-0.6111708,-1.6154083,0.0,-0.5,-0.309017,-0.809017],[-1.7908612,1.0321793,0.7125557,0.809017,-0.0,0.309017,0.5],[-1.3163538,0.8954688,-1.3237737,0.809017,-0.5,0.0,-0.309017],[1.458479,-1.7774217,-0.2996954,0.2996838,0.8147094,-0.0043955,-0.4964061],[1.4381096,1.3090171,0.7884695,0.0,0.7071068,-0.0,-0.7071068],[-0.420653,0.5453272,-0.0126432,0.4782902,0.0276019,-0.8347573,-0.271398],[0.3259957,-0.6402386,-0.6966241,0.4585574,-0.0393206,-0.8384385,-0.2918903],[0.4777647,0.865487,2.0026287,0.0,-0.309017,0.809017,0.5],[2.1851186,0.0,1.3504776,0.809017,0.0,-0.309017,0.5],[-0.4417843,1.7363182,1.1749747,0.809017,-0.0,0.309017,0.5],[0.0537287,-0.907413,2.1645961,0.3089025,0.499586,0.8093163,0.0003702],[0.7130197,-1.7854273,1.0328524,0.0039268,-0.8024082,-0.5066991,-0.3152486]]},{"n":28,"s":"3.74070+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.7407002124349,"st":3.740699898775,"cf":null,"den":0.5349,"vlb":3.03659,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n28.json","ok":true,"ver":true,"cert":["(1) containment, exact, 6720 vertex/face tests: ok;  min wall gap ~ 1.000000419007e-07","(2) separation, exact, 378 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005025e-07"],"p":[[1.5688277,-0.3360711,-1.6180341,0.0,0.5,-0.309017,-0.809017],[-1.0443184,0.6561234,1.8183788,0.7797821,0.5162953,-0.0212378,-0.3534515],[-0.0320313,-0.5468708,2.1974255,0.3288103,-0.4486343,0.8310006,-0.0070042],[2.2172729,0.0,1.37035,0.5,-0.309017,-0.0,0.809017],[-0.3378427,1.8228749,1.0325475,0.794185,0.3033517,-0.5265434,-0.0],[-1.5566251,-1.6098981,-0.3175174,0.4076376,0.476028,0.754978,-0.1929695],[1.8503597,0.9605913,-0.776672,0.0,0.5,0.309017,-0.809017],[0.1588554,0.2146478,-2.1476756,0.5097937,0.4974722,-0.4873588,0.5050873],[-0.0,-1.37035,-2.2172729,0.309017,-0.809017,-0.0,-0.5],[-2.215184,-0.0017899,-0.5369464,0.3123285,-0.8062507,-0.0039614,0.5023893],[0.0379423,1.6206814,-1.561897,0.3360347,0.0207928,0.4892792,-0.8045211],[-0.1582021,-2.2112146,0.015861,0.0,0.809017,0.5,0.309017],[0.4339393,0.9660764,2.0418699,0.4724066,-0.4701737,0.5192887,-0.5348906],[-0.9367705,2.0771853,-0.3667542,0.3152419,0.8253139,0.0,-0.4684864],[0.5700608,-1.1542869,-0.8169827,0.809017,-0.5,-0.0,0.309017],[0.6078129,-1.65853,1.3212801,0.0,-0.309017,0.809017,-0.5],[-0.9593491,-1.441098,1.1871759,0.6668609,-0.4310567,0.1918279,0.5767917],[-2.0698187,-0.273667,1.0811489,0.8380249,0.3425583,-0.4127061,-0.1002084],[2.0075251,-0.536375,-0.1675675,0.5027334,-0.4972576,-0.5012199,-0.4987711],[0.6622685,-0.162589,0.8519434,0.5807191,0.3238135,-0.1176923,0.7376033],[-1.2698483,-0.6731878,-1.5543884,0.0568692,-0.5506721,-0.423758,-0.7169068],[-1.768266,1.158957,0.5049157,0.8167735,0.0186504,0.2891688,0.4989134],[-1.3130634,0.8953678,-1.3784607,0.8228767,-0.4804548,-0.0178499,-0.3028506],[1.4162481,-2.0971103,0.0120408,0.309017,0.809017,0.0,-0.5],[1.4388615,1.3171982,0.8280368,0.0003683,0.7176809,-0.0280044,-0.6958087],[-0.7276303,-0.3595638,0.0736529,0.7055078,0.0138439,-0.6856687,-0.178677],[0.3947118,0.4232929,-0.5760893,0.5311327,-0.4166915,0.5138043,-0.5294066],[0.6585442,2.1501361,-0.1757664,0.0,0.4684864,0.3152419,0.8253139]]},{"n":29,"s":"3.77348+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.773486480772,"st":3.773486164608,"cf":null,"den":0.5397,"vlb":3.07232,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n29.json","ok":true,"ver":true,"cert":["(1) containment, exact, 6960 vertex/face tests: ok;  min wall gap ~ 1.000000544640e-07","(2) separation, exact, 406 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002249e-07"],"p":[[1.5222032,-0.4456955,-1.6622448,0.0004826,0.5000875,-0.3087639,-0.8090594],[-1.0509343,0.718157,1.8423764,0.8011131,0.5047457,-0.005952,-0.3215806],[0.0230529,-0.440553,2.2323172,0.3095212,-0.4868121,0.8167855,-0.0084917],[2.2437976,0.0,1.3867432,0.5,-0.309017,0.0,0.809017],[-0.3676529,1.8538198,1.0209751,0.8009212,0.3059247,-0.5147187,-0.0],[-1.7919563,-1.1829359,0.0973783,0.5663268,0.3580078,0.7110721,-0.2132624],[1.9130897,0.8644214,-0.8526011,0.0011722,0.4999739,0.3088178,-0.8091083],[0.0,-1.3867432,-2.2437976,0.309017,-0.809017,-0.0,-0.5],[-2.1919883,0.1356385,-0.7037793,0.3176514,-0.8077012,-0.0066116,0.4966614],[-0.1768544,-2.0541552,0.4926352,0.0035085,-0.8143419,-0.4951755,-0.3027148],[-0.8115459,2.0806836,-0.427038,0.3125133,0.8181704,0.0,-0.4826309],[0.5330947,-1.307113,-0.8277012,0.809407,-0.4989621,-0.0033484,0.3096545],[0.8665125,-1.3741884,1.3898399,0.0165269,0.3058123,-0.8069396,0.5050288],[-1.0155577,-1.1975328,1.4174503,0.8149301,-0.4916957,0.0073909,0.3067078],[-2.2090923,-0.0818856,1.1905484,0.8092111,0.3229115,-0.4905755,-0.0155317],[1.9416136,-0.5444598,-0.1371683,0.4952453,-0.4676745,-0.5252806,-0.5099931],[0.6704738,0.0229073,0.7599685,0.5765904,0.245627,-0.2787939,0.7276571],[-1.2968745,-0.6106976,-1.6946943,0.0116093,-0.5124925,-0.331722,-0.7919452],[-1.7523838,1.2710546,0.4881243,0.8151342,0.0101397,0.2998662,0.4955135],[-1.1780802,0.9380959,-1.5067268,0.8129587,-0.4909849,-0.0117808,-0.3128787],[1.3738412,-2.2358237,0.0208758,0.309017,0.809017,0.0,-0.5],[1.5487599,1.3072782,0.7636586,0.0013187,0.707553,-0.0204031,-0.7063644],[-0.7070638,0.037075,0.1249933,0.7460465,-0.2343644,-0.5498067,-0.2935993],[0.505858,0.3123841,-0.8169269,0.5723486,-0.1349236,0.5736401,-0.5702189],[-0.8593928,-1.9071798,-0.8639681,0.3019639,0.8133327,0.0033237,0.4972894],[0.0007376,0.2311833,-2.2435159,0.0,0.5,-0.309017,-0.809017],[0.1825005,1.6223133,-1.6270671,0.2977629,-0.4956592,-0.8158622,-0.0052974],[0.7789416,2.1530494,-0.2325474,0.4840925,-0.0015187,-0.8183908,0.3096589],[0.4559046,1.1006717,2.0638943,0.4954959,0.50912,0.4881461,-0.5069459]]},{"n":30,"s":"3.82255+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.8225557310971,"st":3.822555411805,"cf":null,"den":0.5371,"vlb":3.10723,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n30.json","ok":true,"ver":true,"cert":["(1) containment, exact, 7200 vertex/face tests: ok;  min wall gap ~ 1.000000001083e-07","(2) separation, exact, 435 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[1.832115,0.5432053,1.3138451,0.780507,-0.519628,-0.0191751,-0.3470272],[1.7696395,-0.0003835,-1.6075533,0.0656512,0.5190511,-0.2957147,-0.7992676],[-1.3084012,0.4432761,1.7782436,0.8069467,0.5040178,-0.0089376,-0.3077713],[-0.5681702,-1.0762893,2.0503138,0.0,0.8097593,-0.4955297,0.3142296],[0.8036449,-0.4296351,1.9765304,0.3066538,0.0018042,-0.5008997,0.8093576],[-0.8188463,1.7891054,1.0830543,0.8057361,0.3075379,-0.5061599,-0.0034667],[-1.7362693,-1.4299284,-0.5248006,0.3096991,0.4983677,0.809763,-0.0],[1.5759641,1.8523411,-0.2399693,0.0,-0.0083023,0.0217358,0.9997293],[0.1536963,0.079354,-2.2247887,0.5,0.5,-0.5,0.5],[1.4112778,-2.2834954,0.0,0.809017,-0.5,-0.0,0.309017],[0.0758955,2.1682358,-0.2957607,0.310286,0.8032095,0.0018383,0.5085014],[-2.2833601,-0.0003544,-1.0166904,0.309017,-0.809017,0.0,0.5],[-0.168396,-2.0393253,-0.5703547,0.0014571,0.7892996,0.533213,0.3044469],[0.025579,1.1828667,2.2629103,0.015096,0.8014445,-0.5008538,0.3265032],[-1.4605853,1.9439381,-0.2902499,0.3072685,0.8135182,0.005611,-0.4937031],[0.9984477,-0.9577857,-0.7193768,0.7690523,-0.526241,-0.0233352,0.3620559],[0.5811743,-1.7865242,1.2899433,0.0016054,-0.3061394,0.8114486,-0.4978225],[-0.9577547,-1.9916748,0.7453438,0.8079587,-0.0086704,0.3073478,0.5026578],[-2.0224424,-0.6805222,0.9882338,0.8075846,0.3125513,-0.5001081,-0.0032741],[1.8653467,-0.9538698,0.8431564,0.5057229,-0.3408285,-0.0173101,-0.7923261],[0.1668777,0.3451581,0.7355111,0.3287619,-0.0376935,0.4740981,-0.8159202],[-1.1715272,-0.6872342,-1.8360119,0.309017,0.809017,0.0,0.5],[-1.3836085,0.5137082,0.1986903,0.8117776,0.310075,0.4947163,0.0112404],[-1.1718816,0.8633821,-1.6595096,0.809017,-0.5,-0.0,-0.309017],[-0.4517422,-0.4907454,-0.4838007,0.263943,-0.5493992,0.7927755,0.0012724],[0.6948938,0.5930756,-0.6950703,0.0437899,0.8400672,-0.4524094,-0.2961339],[0.7632293,1.8643316,1.0667238,0.5146535,0.4954137,0.4947692,0.4948742],[0.1437075,-1.4799734,-2.0710924,0.5,-0.809017,0.309017,-0.0],[0.1779502,1.5655449,-1.8796189,0.0,0.809017,-0.5,0.309017],[2.1872121,0.2520732,-0.1615817,0.2994345,0.0,-0.5438688,-0.7839297]]},{"n":31,"s":"3.85695+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.8569588861793,"st":3.856958560588,"cf":null,"den":0.5403,"vlb":3.14138,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n31.json","ok":true,"ver":true,"cert":["(1) containment, exact, 7440 vertex/face tests: ok;  min wall gap ~ 1.000000331832e-07","(2) separation, exact, 465 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[1.8214309,0.6807113,1.2376654,0.823822,-0.4903179,0.0116389,-0.2842009],[1.6397516,0.4170331,-1.6671168,0.0190522,0.5340891,-0.3022661,-0.7893168],[-1.3659294,0.4828689,1.738333,0.8337079,0.4904528,0.1670675,-0.190986],[-0.6408324,-0.8797963,2.0383808,0.0489537,0.8912567,-0.2820372,0.3517386],[0.8693222,-0.2527149,1.9792766,0.2877393,0.0161622,-0.5078852,0.8117866],[-0.8003759,1.9146344,0.9321861,0.8181873,0.3156727,-0.473841,0.0799693],[-1.7054935,-1.4951133,-0.460109,0.3856243,0.4793189,0.7759753,-0.1393186],[1.6645901,1.6549646,-0.4075112,0.0252966,0.0082606,-0.0233852,-0.9993723],[0.1849468,-0.0130552,-2.2393599,0.5004771,0.4992027,-0.5034141,0.4968839],[1.4209263,-2.3084986,-9.6e-06,0.8092925,-0.4969318,0.0009366,0.3132148],[0.1305989,2.1522855,-0.416379,0.3140964,0.822315,-0.0,0.4744908],[-2.2982359,0.0299711,-1.1688703,0.2991956,-0.8115277,0.0050983,0.5018753],[-0.2313129,-2.0751914,-0.5460802,0.0022789,0.7840455,0.5474967,0.2924292],[0.0,1.4284794,2.3113282,0.0,-0.809017,0.5,-0.309017],[-1.3748283,1.8532647,-0.5034038,0.3208117,0.792423,-0.0123467,-0.5186456],[1.4984996,-1.0436734,-1.1976346,0.8113655,-0.4985358,-0.001802,0.3051963],[0.5637486,-1.6744704,1.4098497,0.1318159,-0.1765679,0.8127532,-0.5393334],[-0.9797057,-1.9176255,0.827988,0.7952142,-0.1281296,0.2807279,0.5219281],[-1.9972436,-0.6877325,0.9825042,0.796468,0.2395054,-0.5466553,0.0971794],[1.819888,-0.8910603,0.9394011,0.5740535,-0.4364241,-0.0995303,-0.6856313],[-0.0112788,0.4450865,0.9153062,0.6259683,-0.2247293,0.2802874,-0.69217],[-1.1410071,-0.7862514,-1.810731,0.3157724,0.8053824,-0.0012896,0.5016426],[-2.0389767,0.7130255,0.3311044,0.8121484,0.2845175,0.5090374,-0.0185935],[-1.1075288,0.8271568,-1.805122,0.8047803,-0.5057894,0.0051963,-0.3106102],[-0.8847585,-0.1592896,-0.2566747,0.1823617,-0.5879652,0.7878277,-0.0191997],[0.5031124,0.555701,-0.5314507,0.0241139,0.8416819,-0.4785112,-0.2490325],[0.8358661,1.9531205,0.9226335,0.4759552,0.5132803,0.5139498,0.4958483],[0.1912404,-1.5408581,-2.0077091,0.3128298,-0.8095635,-0.0,0.4967337],[0.2543133,1.506531,-1.9784223,0.0002686,0.8087429,-0.5028604,0.3050676],[2.240544,0.0857453,-0.2187931,0.322085,0.0202522,-0.7031337,-0.6336041],[0.5222451,-0.8579475,0.0379885,0.2327405,0.5385525,0.0485639,0.808353]]},{"n":32,"s":"3.87928+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.8792864378179,"st":3.8792861149,"cf":null,"den":0.5481,"vlb":3.1748,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n32.json","ok":true,"ver":true,"cert":["(1) containment, exact, 7680 vertex/face tests: ok;  min wall gap ~ 1.000000148510e-07","(2) separation, exact, 496 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999994736e-08"],"p":[[-0.3515392,0.9779291,0.8455548,0.5525577,0.4126188,0.6287827,-0.3592464],[1.2230685,1.2474786,1.2239451,0.2008506,0.1493124,0.4169278,-0.8738055],[0.0001986,-1.3029162,-2.2732497,0.3863591,0.7174943,-0.5784182,-0.0368921],[2.042305,-0.7516023,-0.0319499,0.7510795,0.4978298,0.4058895,0.1526397],[-1.2711897,-1.2189307,-1.2758193,0.1141284,0.8839444,0.3636465,-0.2708842],[-0.7639788,-0.0013325,2.0030657,0.0897341,-0.1371831,-0.8825238,-0.4407724],[-1.22535,-1.2209004,1.2373241,0.8923987,0.4233604,-0.0461474,-0.1492009],[-1.2488536,1.4377357,-1.0824454,0.4456884,0.8161334,0.3341604,0.1537042],[-0.4951579,2.3136766,-0.0116939,0.2633497,-0.4924168,-0.82956,-0.0016639],[-1.9953651,-0.7652894,0.0014073,0.6167462,0.7308997,-0.2574634,0.1382835],[-6.06e-05,-1.9946016,-0.8400049,0.1513633,-0.5386762,-0.8166737,-0.1412842],[-2.2132995,0.1412629,-1.2406581,0.4796911,0.7916796,0.1559161,0.3447174],[-0.0,1.4396432,2.3293916,0.0,-0.809017,-0.5,-0.309017],[2.2386892,0.0443744,1.3591091,0.2149101,0.6738477,-0.6939053,-0.1350496],[0.6246818,-0.1577402,0.3074617,0.4981829,0.3638179,0.3698759,0.6947245],[1.2270862,-1.2252313,-1.2751131,0.8312976,0.0327959,-0.4572171,0.3143584],[1.3548116,2.2590008,-0.0493593,0.1162208,-0.4925385,-0.8620323,0.0282644],[2.0007713,0.7805897,-0.0346267,0.2338238,0.200018,0.3381975,0.889349],[0.7759745,-0.0020791,2.0068665,0.8871812,-0.4336259,-0.0468181,-0.1506192],[1.3800708,-2.2223238,-0.0078318,0.2371794,-0.7074846,0.5259043,-0.408211],[0.4673309,1.1380386,-0.6778994,0.2940628,-0.0143624,-0.07657,0.9526058],[-0.8056118,0.1037489,-1.9840398,0.6069335,-0.4216905,0.5714834,0.3566728],[-0.0103978,-1.9857505,0.7642699,0.8044804,0.555929,-0.1271654,-0.1660819],[-0.7015794,0.0790127,-0.3929962,0.187585,0.2655853,0.9405382,0.0983065],[-0.0,-1.4396432,2.3293916,0.5,0.309017,0.0,-0.809017],[1.2410373,-1.2214672,1.2439815,0.4529183,0.8210961,0.2684585,0.2204456],[-1.3777274,-2.2221018,-0.0107807,0.5774063,0.4351354,0.6908243,0.0045673],[2.1987327,0.04031,-1.4334647,0.5280761,0.7150143,0.0516143,-0.4552209],[0.7021304,0.1013063,-1.8631666,0.6122553,-0.7580728,-0.1559158,-0.1617385],[-1.901234,1.120931,0.2641489,0.0842265,-0.536764,0.1954572,0.8164477],[-2.3293916,-0.0,1.4396432,0.809017,0.0,0.309017,-0.5],[-0.0185811,1.4364114,-2.1912917,0.9651574,0.0480705,-0.1417758,0.214616]]},{"n":33,"s":"3.89699+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.8969931796131,"st":3.896992855636,"cf":null,"den":0.5576,"vlb":3.20753,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n33.json","ok":true,"ver":true,"cert":["(1) containment, exact, 7920 vertex/face tests: ok;  min wall gap ~ 1.000000493361e-07","(2) separation, exact, 528 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[-1.368269,2.2581934,0.0073349,0.1233156,-0.4115409,-0.838452,-0.3352991],[0.0318986,1.9788409,0.7471534,0.2151263,0.2611663,0.7780066,0.5293567],[0.4271269,-0.6441431,0.0508721,0.1413389,-0.7965383,0.560707,-0.1765154],[1.2322166,-1.2659492,-1.2525804,0.9802709,-0.1032946,0.1474194,0.0816496],[1.2717595,1.240032,1.2694558,0.0722841,0.4551119,0.6897979,-0.5584148],[0.0460808,2.0110795,-0.7758723,0.2721974,-0.1824313,-0.423101,-0.8447561],[2.0410607,0.7384065,0.0378221,0.2819134,0.5352152,-0.7709314,-0.1993346],[0.0002113,-2.0433556,0.7802617,0.4305296,0.1458518,-0.0774514,0.8873403],[-0.0,-1.4484965,2.3437166,0.809017,0.309017,-0.5,0.0],[-0.0051153,-2.004666,-0.7547052,0.1823313,-0.3002553,0.8270374,0.4388748],[-2.217717,-0.0028131,1.4297982,0.3316102,0.8406385,-0.3969004,-0.1607224],[2.251524,-0.0025197,-1.3651476,0.1922821,-0.1544038,0.6692609,0.7009115],[1.4484965,-2.3437166,0.0,0.5,0.0,0.809017,-0.309017],[-0.0198084,-1.390334,-2.2347298,0.1406784,-0.692136,0.6858537,0.1753912],[-2.2308197,-0.0128143,-1.3955691,0.9495269,0.2603016,-0.0070847,0.1749046],[1.2434865,1.2201821,-1.2627794,0.6913493,0.5439389,0.0460972,-0.4733304],[2.0420653,-0.7800968,0.0460224,0.54372,0.2643409,0.1813832,0.7756241],[0.8256928,-0.0173245,2.02833,0.7755208,-0.271461,0.544125,-0.1697186],[-1.3887185,-2.2352349,-0.0158993,0.6896839,0.1714053,-0.6880461,0.146795],[0.7933201,-0.0118172,-2.0234186,0.4146522,0.7616716,-0.4848349,-0.1133802],[-0.7460712,0.0096252,-2.0027758,0.6200823,0.3547961,-0.5401685,0.4447872],[-2.0344266,0.7694287,0.0021512,0.3546803,-0.1302186,-0.6241608,-0.6838628],[-0.393053,0.6622974,-0.0673585,0.1396346,-0.06255,0.6063193,-0.7803631],[-1.2020818,-1.1859346,-1.19626,0.3619346,-0.1224301,-0.8798378,-0.2826653],[-2.02934,-0.7721857,0.0219158,0.7657077,0.4736723,-0.4261012,-0.088114],[-0.6952237,-0.0129103,1.9588992,0.1473709,0.0863317,-0.4168921,0.8927652],[-0.0151536,1.3826538,2.2389081,0.1678955,0.8561674,-0.2489183,-0.4205094],[-1.2530452,1.2501707,-1.2608777,0.3275478,0.1013633,0.6235156,0.7026138],[-1.2616354,1.237742,1.2231249,0.145107,-0.6823643,0.7135075,0.0650378],[1.4015224,2.22732,-0.0086483,0.5119878,-0.4233058,0.2606691,-0.7005229],[-1.2328393,-1.2413756,1.2509038,0.7655965,-0.2110219,0.2932776,0.5322781],[1.2464442,-1.2602882,1.2517246,0.4476244,-0.5658811,0.6879528,0.078306],[-0.0,1.4484965,-2.3437166,0.809017,0.0,-0.309017,-0.5]]},{"n":34,"s":"3.90016+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.9001600482411,"st":3.90015971599,"cf":null,"den":0.5731,"vlb":3.23961,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n34.json","ok":true,"ver":true,"cert":["(1) containment, exact, 8160 vertex/face tests: ok;  min wall gap ~ 1.000000353626e-07","(2) separation, exact, 561 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000004192e-07"],"p":[[-1.3826613,2.2460239,0.0003747,0.1364469,-0.4118432,-0.8479379,-0.3045796],[-0.0072118,1.9983618,0.7550749,0.2098775,0.2303084,0.7677748,0.5598493],[0.4383357,-0.6343924,0.050882,0.1683628,-0.7919364,0.5572249,-0.184367],[1.2432593,-1.2585858,-1.2405284,0.9789625,-0.1093309,0.1408307,0.0992266],[1.2167724,1.2577801,1.2652787,0.1282774,0.4560955,0.6991108,-0.5355052],[0.0329585,2.0164922,-0.7797636,0.2820664,-0.1813337,-0.4253379,-0.8406214],[1.9516513,0.7377829,0.0022577,0.2473345,0.5423926,-0.7767358,-0.2032668],[2.2502687,0.0163499,1.3854454,0.5230897,-0.0120859,0.8484393,0.0798859],[0.0030144,-2.0457583,0.783179,0.4304467,0.1466424,-0.0756306,0.8874073],[-0.0,-1.45008,2.3462787,0.809017,0.309017,-0.5,0.0],[0.0080543,-2.0076603,-0.7417753,0.1815367,-0.3213009,0.8262023,0.4256759],[-2.2355357,-0.0022965,1.3946393,0.2469746,0.8501397,-0.428528,-0.1806372],[2.2466553,0.0029101,-1.3756588,0.1725835,-0.1632835,0.6802526,0.6934046],[1.45008,-2.3462787,-0.0,0.5,0.0,0.809017,-0.309017],[0.008411,-1.3903525,-2.2377663,0.1545512,-0.6999816,0.6775786,0.164399],[-2.2356914,-0.0232903,-1.3940737,0.9469854,0.2630915,-0.0025034,0.1843782],[1.245199,1.2391746,-1.248033,0.6811906,0.5645416,0.0477735,-0.46367],[2.0175618,-0.7791603,-0.0163417,0.5206962,0.3139812,0.17914,0.773434],[0.7505475,-0.0102463,2.0113389,0.7943616,-0.2574561,0.5123417,-0.2005292],[-1.3870521,-2.2398316,-0.0141548,0.690872,0.1737204,-0.6859512,0.1482838],[0.7796826,0.0181137,-2.0147069,0.3965694,0.7839605,-0.4602521,-0.1276976],[-0.7494727,0.0001103,-2.0267296,0.6115406,0.3565862,-0.5442766,0.4501414],[-2.0417141,0.7631102,-0.0150703,0.3430361,-0.099081,-0.6303813,-0.6892957],[-0.3935613,0.6553293,-0.0861639,0.1315928,-0.0636965,0.6040564,-0.7834168],[-1.1852069,-1.2139918,-1.2235928,0.3533149,-0.0964241,-0.8907308,-0.2692019],[-1.9903194,-0.7706562,0.0174904,0.7828096,0.4671314,-0.3959578,-0.1105202],[-0.7640576,-0.0203163,2.0013069,0.1561255,0.046879,-0.4396863,0.8832345],[-0.0189105,1.3861909,2.2434825,0.1398475,0.8562559,-0.2968709,-0.3989187],[-1.2635299,1.2489819,-1.2701279,0.3245417,0.106764,0.6190944,0.7071041],[-1.2351551,1.2035912,1.223302,0.1804411,-0.621658,0.7616479,0.0295765],[1.3968258,2.2339043,-0.0002979,0.5184087,-0.4285327,0.2811449,-0.6845215],[-1.2191402,-1.2575021,1.2407345,0.7563521,-0.1734489,0.2786316,0.5658722],[1.2540881,-1.2621203,1.2554959,0.4714382,-0.5592984,0.6754813,0.0930392],[-0.0,1.4500799,-2.3462787,0.809017,0.0,-0.309017,-0.5]]},{"n":35,"s":"3.93629+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.9362991560515,"st":3.936298837132,"cf":null,"den":0.5739,"vlb":3.27107,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n35.json","ok":true,"ver":true,"cert":["(1) containment, exact, 8400 vertex/face tests: ok;  min wall gap ~ 1.000000243376e-07","(2) separation, exact, 595 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005025e-07"],"p":[[-1.3774817,2.2880283,-0.024226,0.1286256,-0.4367167,-0.8447874,-0.2811908],[0.0147262,2.0585995,0.774479,0.3402908,0.0138992,0.8871655,0.311362],[-0.0107629,-0.4912504,0.7800059,0.0779934,0.3575247,-0.6493342,0.666677],[-0.0469043,1.4552496,-2.2476292,0.8214657,0.1583435,0.4264239,0.3439245],[1.3358322,-1.2768955,1.2309376,0.4198697,0.0540192,0.5379395,-0.7289804],[0.0685913,2.073098,-0.7451213,0.3112522,-0.1961695,-0.4243978,-0.8273609],[-1.18553,1.2858263,1.2995395,0.4612261,0.5098171,-0.7261812,-0.0042325],[2.0504377,0.7695363,-0.0004435,0.1055829,0.8168451,-0.5636979,-0.0621372],[2.2779477,0.0543383,1.4130639,0.6377704,-0.4832946,0.5068394,-0.3206075],[0.0508397,-2.0583083,0.8124522,0.2626512,0.6943503,-0.0112215,0.6699],[0.0003161,-1.468,2.3751536,0.4996719,-0.3094008,0.0001957,-0.809073],[0.0053322,-2.0344956,-0.7308675,0.2118563,-0.2329062,0.8570975,0.4077445],[-2.3755158,0.0,1.4681495,0.5,0.809017,-0.309017,0.0],[2.2793483,0.0456052,-1.3978655,0.1838357,-0.1567157,0.6374505,0.731643],[1.4266655,-2.2295286,-0.0767416,0.495498,-0.3834857,0.7776116,0.0523519],[0.0391649,-1.4718923,-2.2412724,0.1082065,-0.7494983,0.6351558,0.1520552],[1.428352,2.2576019,0.0565119,0.0409119,-0.8379297,0.543908,0.0190852],[-1.2819084,-1.2717678,1.2899891,0.4194338,0.5241105,0.5241105,-0.5241105],[-2.3034137,-4.26e-05,-1.3575194,0.932313,0.3097339,0.0428224,0.1817239],[1.26202,1.3086211,-1.2730242,0.6900346,0.5502722,0.0765171,-0.4638943],[2.0846134,-0.7615925,-0.0080627,0.5569496,0.2535266,0.2374221,0.7544284],[0.789716,-0.0239555,2.0728585,0.1579686,-0.5430762,0.2739996,-0.7778421],[-1.3624285,-2.3041081,-0.0078189,0.6456576,0.1532181,-0.7143805,0.2220607],[0.7808564,0.0879979,-2.0772552,0.4414882,0.7770493,-0.4370221,-0.101461],[-0.7419176,-0.0694471,-2.0921285,0.6066706,0.3774391,-0.5433125,0.4407971],[-1.9961812,0.8576871,0.0790355,0.4948719,-0.4338722,-0.3543026,-0.664324],[0.7225812,0.0384352,-0.4557349,0.5385708,0.510416,0.5864406,-0.3248143],[-1.2453658,-1.301092,-1.2823316,0.2778891,0.3497064,-0.8855017,0.1279446],[-0.8017104,0.0309881,2.0692897,0.4963705,-0.093561,-0.5581984,0.658238],[0.0338317,1.4021756,2.2752195,0.1321687,0.8382026,-0.3092257,-0.4293336],[-1.249445,1.2494726,-1.2526709,0.1830713,0.1372032,0.7158516,0.6597096],[-0.8014215,0.0052398,-0.4634696,0.1629749,0.9776832,0.1324713,0.0051029],[-1.9995136,-0.8420719,-0.0526899,0.6691771,0.6843559,-0.2126966,0.1965177],[1.2603902,-1.1736908,-1.2814972,0.257429,-0.246338,0.4069553,-0.8410917],[1.1825012,1.1900548,1.232386,0.1533666,0.1267227,0.9747213,-0.1016784]]},{"n":36,"s":"4.01231+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.0123136908748,"st":4.012313357577,"cf":null,"den":0.5573,"vlb":3.30193,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n36.json","ok":true,"ver":true,"cert":["(1) containment, exact, 8640 vertex/face tests: ok;  min wall gap ~ 1.000000627969e-07","(2) separation, exact, 630 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-1.2034351,0.4573815,1.9537665,0.7940355,0.4802441,-0.0175167,-0.372245],[0.1224452,-0.3792958,2.3414493,0.1066334,0.3425395,-0.8082089,0.4670058],[1.7453327,-0.3312354,1.7639234,0.3056425,-0.0068557,-0.4938376,0.8140394],[-0.7651385,1.8010662,1.2092384,0.6342391,0.6784321,-0.3651292,0.0644313],[1.0279196,-0.3003571,-1.9898459,0.4237846,0.4216272,-0.568548,0.5651463],[1.5061568,-2.4370129,0.0,0.809017,-0.5,-0.0,0.309017],[-0.2467198,-1.2832847,-2.292328,0.6971225,-0.463953,0.4628745,-0.2907146],[0.1443148,2.337385,-0.2608291,0.3327612,0.7806365,-0.3553564,0.3919164],[-1.8745519,0.9910322,-1.0775855,0.0,0.7961581,0.2412375,-0.5549205],[0.9657014,1.2464355,-1.7310328,0.5720614,-0.0,0.218508,-0.7905694],[-0.2711202,-2.2212917,0.4200436,0.0869405,-0.9076123,-0.0975831,-0.3989472],[0.1024104,1.2353513,2.3914852,0.0525174,0.7706786,-0.5521754,0.3136857],[-1.4985302,2.3952256,-0.038223,0.3002791,0.8325844,0.0162861,-0.4651563],[1.7115011,-1.1920384,-0.9670674,0.8005196,-0.5595406,-0.0147568,0.214161],[0.6728953,-1.6674584,1.5358616,0.3117328,-0.2881684,0.3816224,-0.8210639],[-0.8879604,-1.3768474,1.6783619,0.577308,0.0121017,0.577308,0.577308],[-2.2601059,-0.3903422,1.2663772,0.8279539,0.3220902,-0.4558578,-0.0542578],[2.2634626,-0.4395081,0.3411566,0.4984574,-0.3160281,-0.0165543,-0.8070888],[0.551578,0.4112994,1.0819743,0.4924503,-0.3933382,0.0150317,-0.7762421],[-1.7746667,-0.3642219,-1.7591505,0.7927701,0.5094699,0.0120585,0.3343807],[-2.0061814,0.9838867,0.5471651,0.8736836,0.4500611,-0.0452674,0.1790889],[-0.7677806,-0.4155678,0.4747393,0.2706576,-0.5562214,0.7066544,0.3435139],[0.9919544,0.4527315,-0.3799303,0.1108334,-0.8640771,0.4878944,0.0551876],[0.8037371,1.9599577,1.1733577,0.5403333,0.4907917,0.4825034,0.4841012],[0.7165666,-0.9383898,0.1850318,0.3481194,-0.1088097,0.6776318,-0.6385832],[-1.1962423,-1.670451,-1.0372883,0.5598551,0.3130526,0.7312563,0.2320012],[-0.44749,1.7827208,-1.7129589,0.809017,-0.5,-0.0,-0.309017],[-0.5732997,0.97656,-0.178522,0.5847907,-0.7771242,-0.0239173,-0.2313563],[-2.2656572,-0.3758086,-0.2929937,0.5767518,-0.7191647,0.2492567,-0.2966997],[0.2907701,-1.9661311,-0.9773155,0.5347543,0.0216494,0.820275,-0.2017871],[-1.741328,-1.8213265,0.3767087,0.0030853,-0.9999945,-0.0,0.0011785],[2.2673866,0.3067263,-1.2769832,0.472612,-0.4524286,0.301959,-0.6933737],[-0.229734,-0.4264081,-0.9763226,0.1586629,-0.0214678,-0.9350747,0.3162286],[1.6517784,2.0557705,-0.1679079,0.4814932,-0.0351578,-0.8008011,0.3544656],[2.0341086,0.96329,0.945771,0.4847755,0.4847755,-0.5431188,-0.4847755],[-0.3997414,0.3829292,-2.2843252,0.5720614,0.218508,0.7905694,-0.0]]},{"n":37,"s":"4.04727+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.0472735541582,"st":4.04727322145,"cf":null,"den":0.5581,"vlb":3.33222,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n37.json","ok":true,"ver":true,"cert":["(1) containment, exact, 8880 vertex/face tests: ok;  min wall gap ~ 1.000000306193e-07","(2) separation, exact, 666 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-1.2373171,0.4639555,1.9017874,0.7377994,0.5474895,0.2727149,-0.2855414],[-0.000131,-0.4073194,2.4652459,0.4999595,0.5000405,-0.4999095,0.5000905],[1.5783122,-0.5481861,1.8624344,0.309017,0.0,-0.5,0.809017],[-0.8974481,1.83716,1.1998777,0.8112769,0.3061833,-0.4980729,-0.0022139],[1.5763248,2.3273567,-0.0037103,0.0,0.0,0.0,1.0],[1.0349648,-0.9413195,-2.0060749,0.4924937,0.5012263,-0.5061685,0.5000156],[1.2575734,-2.3548947,0.1841441,0.8001199,-0.4684142,-0.0580978,0.3701633],[-0.4669833,-1.2384597,-2.2779245,0.5031601,-0.4968682,0.4957512,-0.5041652],[-0.1091285,2.465296,-0.0,0.309017,0.809017,0.0,0.5],[-2.1071513,0.8997908,-0.9819905,0.5,-0.5,-0.5,0.5],[1.032806,0.6489144,-2.0697196,0.3095752,0.001663,0.499578,-0.8090626],[-0.30763,-2.2747928,0.3506386,0.1830047,0.8020876,-0.4347605,0.3662624],[0.0,1.2567268,2.465296,0.0,-0.809017,0.5,-0.309017],[-1.6253996,2.1988772,-0.1469745,0.309017,0.809017,0.0,-0.5],[1.8824682,-1.3005121,-0.7146765,0.8029251,-0.4643651,-0.0557768,0.3695474],[0.507894,-1.8098219,1.6272565,0.758126,-0.3533087,0.547283,-0.0299894],[-0.9458821,-1.3270378,1.7121712,0.5036274,0.4985215,0.4992826,0.4985506],[-2.2447206,-0.5003442,1.2417221,0.8089276,0.3071316,-0.5013046,6.38e-05],[2.287705,-0.3856239,0.4876404,0.5213636,-0.2656368,-0.0365745,-0.8101107],[0.4889416,0.3981393,1.1362929,0.0167411,0.0784217,0.153435,-0.9848997],[-1.7752137,-0.4261444,-1.7864575,0.8097967,0.499479,-0.0013143,0.3078122],[-2.0841928,0.9133426,0.6695223,0.9421398,0.1966238,0.1884856,0.1954096],[-0.4976818,0.4231787,-2.2735004,0.8084003,-0.4986619,0.0011097,-0.3127682],[-0.7903329,-0.2168307,0.4081508,0.1778127,-0.4297093,0.4649999,0.753331],[1.6349272,0.8822824,-0.6115355,0.0348072,0.815941,-0.4831271,-0.3156215],[0.7265373,1.9726615,1.2897339,0.5,0.5,0.5,0.5],[0.7885703,-0.8424219,0.3063313,0.4951054,0.003694,0.856205,-0.1475467],[-1.1504474,-1.8689221,-0.9695631,0.8116007,0.3080206,0.4964044,-0.0032091],[-0.0054284,-0.4031362,-0.9730667,0.5024186,0.5010565,0.4844823,0.5116589],[-0.8063765,1.7303865,-1.4521696,0.809017,-0.5,-0.0,-0.309017],[-0.0162679,0.9509004,-0.2916676,0.5299071,-0.792782,0.2945872,-0.0625588],[-2.2811055,-0.481855,-0.3614794,0.4997141,-0.5001734,0.4992059,-0.500905],[0.4069267,-2.0379357,-1.1091082,0.5046885,0.0072195,0.8074718,-0.3053305],[1.973516,1.0467455,0.9092036,0.4838386,0.2429438,-0.0346624,0.8400458],[-1.7740734,-1.8035203,0.4113389,0.001896,0.9999946,0.001896,0.001896],[2.4017122,-0.044777,-1.5424434,0.4977584,-0.5066653,0.4977584,-0.4977584],[0.7198254,1.9708063,-1.2945907,0.309017,-0.5,0.809017,-0.0]]},{"n":38,"s":"4.06030+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.0603000814268,"st":4.060299746291,"cf":null,"den":0.5677,"vlb":3.36198,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n38.json","ok":true,"ver":true,"cert":["(1) containment, exact, 9120 vertex/face tests: ok;  min wall gap ~ 1.000000204917e-07","(2) separation, exact, 703 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999917021e-08"],"p":[[-1.2402403,0.3170969,1.9937962,0.8011598,-0.007066,0.3103829,-0.5116204],[0.4789713,-1.8261705,1.7008428,0.5,0.0,-0.809017,0.309017],[2.4758347,0.0,1.53015,0.309017,-0.0,-0.5,0.809017],[-0.8271223,1.7987113,1.2906429,0.5544939,0.5409263,-0.5628791,0.2882748],[-1.7824855,-1.8152118,0.4082874,0.0,0.309017,0.809017,0.5],[0.9535095,-0.9428026,-2.1096725,0.5,0.5,-0.5,0.5],[1.2344581,-2.3339805,0.371379,0.809017,-0.5,-0.0,0.309017],[-0.6332025,-1.0248049,-2.2339728,0.5,-0.5,0.5,-0.5],[-0.0634289,2.425426,0.0200487,0.3446521,0.8029219,-0.0409802,0.4846152],[-2.0903035,0.9530074,-0.857709,0.0049339,0.463688,0.31633,-0.8275895],[0.7305238,1.9816385,-1.2938223,0.309017,0.0,0.5,-0.809017],[0.0005542,1.2013879,2.475623,0.0,-0.809017,0.5,-0.309017],[-0.3730897,-2.361434,0.2995047,0.0,-0.5,0.309017,-0.809017],[-0.9541117,-1.3419621,1.7099109,0.809017,-0.0,0.309017,0.5],[-2.2695037,-0.5097828,1.2266981,0.809017,0.309017,-0.5,-0.0],[0.9957395,0.4226235,0.0533525,0.4989997,-0.308258,-0.0005945,-0.8099234],[-2.0708305,-0.4150122,-1.520142,0.809017,0.5,0.0,0.309017],[-0.0331013,-0.4844051,0.8704441,0.0,0.309017,0.809017,0.5],[2.0287745,1.1704187,-0.7852586,0.0,-0.809017,0.5,0.309017],[0.7704877,1.9012872,1.3280841,0.5020166,0.4985544,0.5029864,0.4964147],[-1.1861269,-1.8378998,-0.981958,0.5,0.809017,0.309017,-0.0],[0.1332462,-0.5965164,-0.6840509,0.5,0.5,0.5,0.5],[-0.8401492,1.8576457,-1.3081898,0.809017,-0.5,-0.0,-0.309017],[-0.4617068,0.8789762,0.0614738,0.6722902,-0.6911152,0.0132363,-0.2649725],[0.3598981,-2.0770002,-1.0441623,0.5022206,0.0019888,0.8074032,-0.3096297],[-0.7335582,0.3200317,-1.5187325,0.309017,0.809017,0.0,-0.5],[0.8668044,0.4505533,-1.5214572,0.0,0.809017,0.5,0.309017],[1.0138054,0.4084261,1.6638019,1.0,-0.0,0.0,-0.0],[2.3982116,-0.169707,-0.0506638,0.8065331,0.0135297,-0.3228549,-0.4950617],[-0.0,1.2474056,-2.4758347,0.5,0.5,0.5,0.5],[2.2623442,-0.1319444,-1.6116961,0.5,0.309017,0.0,-0.809017],[1.7692429,-1.3974518,-0.7931562,0.033229,-0.2608409,-0.8195926,-0.509044],[1.4235558,-0.9068954,0.8712901,0.5,0.809017,-0.309017,-0.0],[-2.0689803,0.9126061,0.7144924,0.0963666,0.6528092,0.5593827,0.5016419],[1.5157825,2.4659325,0.0242697,0.5,-0.309017,0.0,0.809017],[-1.611224,2.2635801,0.01532,0.0,-0.309017,0.809017,-0.5],[-1.4188736,-0.3081891,-0.0978034,0.7442151,0.3983685,-0.4868839,0.2244784],[0.0787943,-0.492661,2.4457379,0.809017,0.0,-0.309017,-0.5]]},{"n":39,"s":"4.06965+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.069653122104,"st":4.06965278673,"cf":null,"den":0.5786,"vlb":3.39121,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n39.json","ok":true,"ver":true,"cert":["(1) containment, exact, 9360 vertex/face tests: ok;  min wall gap ~ 1.000000713861e-07","(2) separation, exact, 741 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[2.0201758,1.1857209,0.8123313,0.8089812,-0.5000221,-2.73e-05,-0.3090748],[-1.2228182,0.3532734,1.9871538,0.7772245,-0.028944,0.3147796,-0.5440571],[0.5042599,-1.830205,1.646329,0.4922649,-0.0110998,-0.811868,0.3137236],[2.3212138,-0.1527542,1.5442599,0.3090927,0.0,-0.4999353,0.809028],[-0.8527444,1.8326731,1.3328105,1.74e-05,-0.8090029,0.5000194,-0.3090224],[-1.8045733,-1.7766741,0.4282651,0.000278,-0.3087924,-0.8090219,-0.5001307],[0.9252271,-1.0146549,-2.078346,0.5000131,0.5000131,-0.4999607,0.5000131],[1.1956442,-2.3937124,0.2348089,0.809034,-0.4999554,0.0001444,0.3090446],[-0.6820042,-1.0430593,-2.2228735,0.5000037,-0.5000316,0.5000098,-0.499955],[-0.0566832,2.4184955,0.0051289,0.3472779,0.805585,-0.0587869,0.4764189],[-2.1054753,0.9894236,-0.8224459,1.26e-05,-0.5000102,-0.3090436,0.8090005],[0.7214105,1.9792372,-1.3175802,0.3090679,0.0,0.4999565,-0.8090244],[2.15e-05,1.2179577,2.4833799,4.55e-05,0.8089955,-0.5000389,0.3090104],[-0.3972048,-2.3282112,0.4056833,0.2183072,0.5721833,0.0002983,0.7905366],[-0.9482552,-1.3507146,1.7191971,0.8089947,6.94e-05,0.3090796,0.4999974],[-2.2947681,-0.47292,1.2505398,0.8090203,0.3090224,-0.4999913,-2.81e-05],[1.0131663,0.3869803,2.07e-05,0.4999753,-0.3090386,-2.28e-05,-0.809024],[-2.124678,-0.3551257,-1.5384242,0.8089954,0.5000298,2.67e-05,0.3090252],[-0.0869596,-0.4574987,0.8554466,0.0002502,-0.3090499,-0.8090863,-0.4998675],[2.0304192,1.1859026,-0.8018325,4.46e-05,0.8090311,-0.5000102,-0.3089637],[0.7111824,1.974273,1.3327725,0.5000663,0.4999779,0.4999779,0.4999779],[-1.1738085,-1.8954042,-0.9490152,0.4998659,0.8090399,0.309174,-0.0],[0.0794879,-0.5983946,-0.698939,0.8090005,6.3e-06,0.3090475,0.5000078],[-0.8469164,1.8490252,-1.3222864,0.8090311,-0.4999806,-1.74e-05,-0.3090116],[-0.4836757,0.87137,0.0320878,0.7193943,-0.6562682,0.0851382,-0.2110341],[0.3756294,-2.0747193,-1.0699438,0.4998855,-0.0001024,0.8090998,-0.3089853],[-0.7644537,0.319806,-1.5548345,0.3090252,0.8090095,3.05e-05,-0.500007],[0.8682539,0.4064128,-1.5626665,2.4e-06,0.8090017,0.5000322,0.3090049],[0.9229638,0.422628,1.5835789,1.0,-2.35e-05,4.47e-05,-5.79e-05],[2.4306836,-0.1380171,-0.0319228,0.8090264,-7.99e-05,-0.3090323,-0.4999753],[0.0046798,1.241921,-2.4816139,0.4999886,0.4999746,0.5000254,0.5000114],[2.2841069,-0.1230986,-1.6109179,0.5001175,0.3089928,5.23e-05,-0.8089536],[1.7921464,-1.3721223,-0.783718,0.0493815,-0.247828,-0.8192201,-0.5148021],[1.3396944,-0.9585636,0.7135255,0.5000726,0.8090107,-0.3089159,-0.0002005],[-2.0417902,0.9561994,0.7523447,0.5521691,0.3635231,0.4329036,0.6128253],[1.5118897,2.4832358,0.0001698,0.5001088,-0.3090884,9.83e-05,0.8089224],[-1.6103323,2.2857247,0.0041668,2.04e-05,-0.3090107,0.8090335,-0.4999772],[-1.6122977,-0.3492278,-0.1080128,0.8115049,0.3100042,-0.4951486,0.0136036],[0.0949164,-0.5038306,2.4471183,0.8090017,-5.93e-05,-0.3089912,-0.5000407]]},{"n":40,"s":"4.10751+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.1075109682505,"st":4.107510630284,"cf":null,"den":0.5772,"vlb":3.41995,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoinico/icoinico_n40.json","ok":true,"ver":true,"cert":["(1) containment, exact, 9600 vertex/face tests: ok;  min wall gap ~ 1.000000566434e-07","(2) separation, exact, 780 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[2.0520196,1.1857583,0.7620219,0.8070791,-0.5036258,0.0159609,-0.3077818],[-1.3309222,0.6261213,1.9903871,0.819407,-0.0060289,0.3263563,-0.4711978],[1.1448422,-1.0176547,1.8966453,0.5004456,0.0046376,-0.8077933,0.3114525],[2.4376757,-0.1650383,1.4650706,0.309017,-0.0,-0.5,0.809017],[-0.8330785,1.9372876,1.2074329,0.5422015,0.5274185,-0.5224009,0.39363],[-1.8836762,-1.6367026,0.5399781,0.0031862,0.3007475,0.8163579,0.4930523],[0.8231408,-0.9565922,-2.1983822,0.5013354,0.4996648,-0.4983499,0.5006448],[0.9024264,-2.4833775,-0.0731061,0.8103397,-0.504857,-0.0035053,0.2974169],[-0.7524661,-1.0567466,-2.2266126,0.4915421,-0.496194,0.503721,-0.5083729],[-0.060389,2.4865791,-0.071865,0.3106911,0.8133999,0.0,0.4917842],[-2.1049866,1.0342902,-0.9273194,0.004968,-0.496376,-0.3011228,0.8141936],[0.7673222,1.9630892,-1.334359,0.297352,-0.003038,0.5099189,-0.8071897],[-0.0383761,1.4574605,2.4917946,0.0126804,0.8095481,-0.498842,0.3092374],[0.1725577,-2.030869,1.2594687,0.0033885,-0.4942121,0.3049226,-0.8141039],[-1.0347184,-1.2041505,1.8287115,0.8075796,-0.0108567,0.3070891,0.5033822],[-2.3644645,-0.3373557,1.3659643,0.8072649,0.3062955,-0.5042902,0.0140667],[0.9275693,0.3578064,0.1104538,0.4865642,-0.3158571,0.0015382,-0.8145473],[-2.1164783,-0.319079,-1.6287459,0.8137828,0.4950668,-0.0070796,0.3043294],[-0.1832166,-0.3369317,0.9141757,0.0080819,0.3164415,0.8114386,0.491291],[2.0642241,1.154946,-0.8397477,0.0043992,0.8103858,-0.507964,0.2919385],[0.7455704,1.9777526,1.2343418,0.5209976,0.5004537,0.5362685,0.4364902],[-1.5044175,-1.6251733,-0.9354351,0.5049933,0.809275,0.3000898,-0.0013654],[0.04064,-0.6529456,-0.6096882,0.8156004,-0.0010011,0.3153517,0.485127],[-0.8065216,1.8627087,-1.3974155,0.8032146,-0.5074265,0.0060862,-0.3119738],[-0.5373928,0.9107941,0.0304056,0.7303738,-0.6543404,0.127925,-0.148418],[0.0640696,-1.9952809,-1.3581003,0.5090887,0.008174,0.802323,-0.3115119],[-0.7288843,0.2909996,-1.5108475,0.3070073,0.808899,-0.0108543,-0.5013094],[0.8393397,0.3944321,-1.4825225,0.0029458,0.8147357,0.4900645,0.3098933],[1.2026049,0.6478996,1.9879734,0.8717893,0.450028,-0.0483395,-0.1874073],[2.3848133,-0.1870754,-0.1007202,0.5280666,-0.2184286,-0.0552029,-0.8187718],[0.0188754,1.1733417,-2.505615,0.5042979,0.5083684,0.4925464,0.4946142],[2.251907,-0.1620004,-1.6538772,0.5,0.309017,0.0,-0.809017],[1.6635492,-1.4660454,-0.9275848,0.0030574,-0.3002595,-0.8087184,-0.5057761],[-0.7002733,-2.5104948,-0.0092529,0.005752,-0.8100754,0.5028512,0.3014722],[-2.1218778,1.0169049,0.6757725,0.0022882,0.8105614,0.504284,0.2977963],[1.5537554,2.5140291,-0.0,0.5,-0.309017,-0.0,0.809017],[-1.6927543,-0.289327,-0.1650524,0.8122442,0.3032312,-0.4982174,0.0094615],[-1.6201204,2.3374763,-0.0968874,0.0080699,0.3098013,-0.8036521,0.5080368],[-0.0700975,-0.2088636,2.4872542,0.5028884,-0.5064901,0.4934589,-0.4970607],[1.9235493,-1.5458962,0.5912261,0.0035693,-0.5017751,0.3043388,0.8096832]]}],"hasref":false,"family":"platonic","group":"platonic","title":"Icosahedra in an icosahedron","unit":"edge"},{"id":"dodindod","piece":"dodecahedron","container":"dodecahedron","rows":[{"n":2,"s":"1.98759+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.9875982173898,"st":1.987598085505,"cf":null,"den":0.2547,"vlb":1.25992,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n02.json","ok":true,"ver":true,"cert":["(1) containment, exact, 480 vertex/face tests: ok;  min wall gap ~ 1.000001098167e-07","(2) separation, exact, 1 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[1.1416566,0.0458567,-0.4450069,0.0215199,-0.4102605,0.4993966,0.7627753],[-1.1416566,-0.0458567,0.4450069,0.3475796,-0.8254563,0.4367156,-0.0842008]]},{"n":3,"s":"2.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.0000001347084,"st":2.0,"cf":"2","den":0.375,"vlb":1.44225,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n03.json","ok":true,"ver":true,"cert":["(1) containment, exact, 720 vertex/face tests: ok;  min wall gap ~ 1.000000063110e-07","(2) separation, exact, 3 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000007245e-07"],"p":[[0.5019528,1.3058574,-0.0051125,0.809017,0.5,-0.309017,0.0],[-1.3090171,0.0,0.3817929,0.5,0.809017,0.0,0.309017],[0.501851,-1.3060221,0.0048459,0.5,0.309017,0.809017,0.0]]},{"n":4,"s":"2.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.0000001347084,"st":2.0,"cf":"2","den":0.5,"vlb":1.5874,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n04.json","ok":true,"ver":true,"cert":["(1) containment, exact, 960 vertex/face tests: ok;  min wall gap ~ 1.000000048178e-07","(2) separation, exact, 6 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000011686e-07"],"p":[[0.809017,-0.809017,-0.809017,0.0,-0.5,-0.809017,0.309017],[0.5,1.3090171,-0.0,0.5,0.309017,0.809017,-0.0],[-0.0,-0.5,1.3090171,0.5,-0.5,-0.5,0.5],[-1.3090171,-0.0,-0.5,0.0,-0.309017,-0.5,0.809017]]},{"n":5,"s":"2.23606+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.2360681228083,"st":2.2360679775,"cf":"\u221a5","den":0.4472,"vlb":1.70998,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n05.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1200 vertex/face tests: ok;  min wall gap ~ 1.000000021037e-07","(2) separation, exact, 10 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999900367e-08"],"p":[[1.6180341,0.0,0.5757456,0.0,-0.5,-0.809017,-0.309017],[-0.0,1.6180341,0.0,0.5,0.5,0.5,0.5],[0.0,-1.6180341,0.0,0.809017,-0.0,-0.5,0.309017],[-0.0,-0.0,-1.6180341,0.5,0.5,-0.5,0.5],[-1.6180341,-0.0,0.6100178,0.809017,-0.309017,-0.0,0.5]]},{"n":6,"s":"2.23606+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.2360681228084,"st":2.2360679775,"cf":"\u221a5","den":0.5367,"vlb":1.81712,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n06.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1440 vertex/face tests: ok;  min wall gap ~ 1.000001030349e-07","(2) separation, exact, 15 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999650567e-08"],"p":[[-0.809017,-1.3090171,0.5,0.5,-0.5,0.5,-0.5],[-0.5,0.809017,1.3090171,0.309017,0.809017,0.5,0.0],[0.809017,1.3090171,-0.5,0.5,0.309017,-0.809017,0.0],[0.5,-0.809017,-1.3090171,0.5,-0.0,0.309017,0.809017],[1.3090171,-0.5,0.809017,0.5,-0.5,0.5,0.5],[-1.3090171,0.5,-0.809017,0.5,0.309017,0.809017,0.0]]},{"n":7,"s":"2.42705+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.4270511370091,"st":2.427050983125,"cf":"(3 + 3\u221a5)/4","den":0.4896,"vlb":1.91293,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n07.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1680 vertex/face tests: ok;  min wall gap ~ 1.000000755305e-07","(2) separation, exact, 21 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999928123e-08"],"p":[[-1.1545085,-1.1545085,-1.1545085,0.5,-0.5,0.5,-0.5],[0.0,0.4045085,1.8680341,0.309017,0.809017,0.5,0.0],[0.4045085,1.8680341,0.0,0.5,0.309017,-0.809017,-0.0],[0.6545085,0.1545085,-1.4635256,0.5,0.0,0.309017,0.809017],[1.8680341,0.0,0.4045085,0.5,-0.5,0.5,0.5],[-1.4635256,0.6545085,0.1545085,0.5,0.309017,0.809017,-0.0],[0.1545085,-1.4635256,0.6545085,0.5,0.5,-0.5,-0.5]]},{"n":8,"s":"2.52786+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.5278642034114,"st":2.527864045,"cf":"7 - 2\u221a5","den":0.4953,"vlb":2.0,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n08.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1920 vertex/face tests: ok;  min wall gap ~ 1.000000126532e-07","(2) separation, exact, 28 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000029e-07"],"p":[[1.118034,-1.1909831,-1.3090171,0.309017,-0.0,-0.809017,-0.5],[-1.9223836,-0.1255861,0.8067471,0.4999616,0.000201,0.3089165,0.8090791],[-0.0,1.0,1.6180341,0.809017,0.5,-0.309017,0.0],[-0.2873184,-1.722841,0.4484528,0.0002127,0.4997216,0.8091233,0.309189],[1.3167914,1.0763266,-0.6481388,0.4997694,0.0332748,-0.3249523,0.8022028],[-0.927051,-0.263932,-1.427051,0.809017,-0.0,0.5,-0.309017],[-0.927051,1.7360681,-0.427051,0.5,-0.0,0.309017,0.809017],[1.6349464,-0.5906693,0.9895477,0.809017,0.0,-0.5,-0.309017]]},{"n":9,"s":"2.59888+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.5988824855022,"st":2.598882323902,"cf":"(35 + 32\u221a5)/41","den":0.5127,"vlb":2.08008,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n09.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2160 vertex/face tests: ok;  min wall gap ~ 1.000000398615e-07","(2) separation, exact, 36 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999972532e-08"],"p":[[-0.8591567,1.9963424,-0.1563373,0.0,-0.309017,0.5,-0.809017],[0.1563373,-0.8591567,1.9963424,0.5,-0.5,0.5,0.5],[1.071552,1.3090171,1.2684532,0.0,0.809017,0.309017,-0.5],[0.6467615,-1.0464821,-1.6932436,0.309017,0.0,0.809017,0.5],[1.3090171,1.2684532,-1.2028194,0.0,-0.5,0.809017,0.309017],[-1.2684532,0.0907036,-1.3090171,0.5,0.0,0.309017,0.809017],[1.6526798,-0.7123952,0.3030988,0.5,-0.309017,-0.809017,-0.0],[-1.9056389,0.0405639,0.9152146,0.0,0.809017,0.309017,-0.5],[-0.8495809,-2.0118365,-0.0,0.0,-0.809017,0.309017,0.5]]},{"n":10,"s":"2.70520+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.7052018808135,"st":2.70520171444,"cf":"(101 + 25\u221a5)/58","den":0.5051,"vlb":2.15443,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n10.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2400 vertex/face tests: ok;  min wall gap ~ 1.000000103625e-07","(2) separation, exact, 45 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999900367e-08"],"p":[[1.6782655,-0.8961848,-0.8256646,0.0,-0.809017,0.309017,0.5],[-0.3961847,2.1449704,0.1410403,0.5,0.309017,-0.809017,0.0],[-1.3795372,-1.3795372,1.3795372,0.5,0.309017,0.809017,-0.0],[-0.3423121,-1.8628897,-0.5974565,0.809017,0.309017,0.0,-0.5],[-0.1410403,0.7654332,2.1449704,0.309017,0.809017,-0.5,0.0],[-0.7384969,0.0269363,-1.775722,0.0,1.0,0.0,0.0],[1.7321381,0.809017,0.6846242,0.809017,-0.0,0.5,0.309017],[-1.9603462,0.4397686,0.0871677,0.309017,-0.5,0.0,0.809017],[1.1077453,1.2757219,-1.5475139,0.5,0.809017,0.0,-0.309017],[1.194913,-1.3090171,1.4936413,0.809017,-0.5,0.309017,-0.0]]},{"n":11,"s":"2.76393+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.7639321915113,"st":2.7639320225,"cf":"5 - \u221a5","den":0.521,"vlb":2.22398,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n11.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2640 vertex/face tests: ok;  min wall gap ~ 1.000000090819e-07","(2) separation, exact, 55 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999961430e-08"],"p":[[-0.736068,-2.3090171,0.0,0.0,-0.0,-1.0,0.0],[-1.3819661,1.5000001,-1.3090171,0.809017,-0.0,0.5,-0.309017],[-2.1180341,-0.309017,0.0,0.809017,0.0,-0.5,0.309017],[-0.809017,-0.809017,-1.8090171,0.5,0.0,-0.309017,0.809017],[2.1180341,0.309017,-0.0,0.0,0.0,-0.0,1.0],[0.736068,2.3090171,0.0,0.0,0.809017,0.309017,-0.5],[1.3819661,-1.5000001,-1.3090171,0.309017,0.0,-0.809017,0.5],[0.809017,0.809017,-1.8090171,0.0,-0.5,0.809017,-0.309017],[-1.3955515,1.4780184,1.3445842,0.5,0.809017,0.0,-0.309017],[0.809017,0.809017,1.8090171,1.0,-0.0,0.0,-0.0],[1.3819661,-1.5000001,1.3090171,0.309017,0.809017,-0.5,-0.0]]},{"n":12,"s":"2.76393+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.7639321915113,"st":2.7639320225,"cf":"5 - \u221a5","den":0.5683,"vlb":2.28943,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n12.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2880 vertex/face tests: ok;  min wall gap ~ 1.000000103806e-07","(2) separation, exact, 66 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[1.3090171,-1.6180341,0.5,0.0,0.309017,0.5,0.809017],[-0.118034,-0.927051,2.2360681,0.309017,0.5,-0.0,0.809017],[0.118034,0.927051,-2.2360681,0.309017,0.5,0.0,0.809017],[-0.927051,-2.2360681,0.118034,0.809017,-0.309017,0.0,0.5],[-1.6180341,-0.5,-1.3090171,0.0,0.5,0.809017,0.309017],[2.2360681,0.118034,-0.927051,0.809017,-0.309017,-0.0,-0.5],[-1.3090171,1.6180341,-0.5,0.0,-0.809017,-0.309017,0.5],[1.6180341,0.5,1.3090171,0.5,0.5,-0.5,-0.5],[0.927051,2.2360681,-0.118034,0.309017,0.809017,0.5,0.0],[-2.2360681,-0.118034,0.927051,0.0,1.0,-0.0,0.0],[-0.5,1.3090171,1.6180341,0.0,-0.809017,0.309017,0.5],[0.5,-1.3090171,-1.6180341,0.309017,0.0,0.809017,0.5]]},{"n":13,"s":"2.90557+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.9055729843714,"st":2.905572809,"cf":null,"den":0.53,"vlb":2.35133,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n13.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3120 vertex/face tests: ok;  min wall gap ~ 1.000000330387e-07","(2) separation, exact, 78 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999991790188e-08"],"p":[[1.3090171,-1.9180341,0.6854102,0.0,0.309017,0.5,0.809017],[-0.201925,-1.0299149,2.3696308,0.309017,0.5,0.0,0.809017],[0.1653799,1.0159559,-2.3922169,0.309017,0.5,-0.0,0.809017],[-0.9663049,-2.4725539,0.0353918,0.809017,-0.309017,0.0,0.5],[-1.9180341,-0.6854102,-1.3090171,0.0,0.5,0.809017,0.309017],[2.4531358,0.066811,-0.978306,0.809017,-0.309017,-0.0,-0.5],[-1.3090171,1.9180341,-0.6854102,0.0,-0.809017,-0.309017,0.5],[1.9180341,0.6854102,1.3090171,0.5,0.5,-0.5,-0.5],[0.978306,2.4531358,-0.066811,0.309017,0.809017,0.5,-0.0],[-2.4944273,0.0,0.9527864,0.0,-1.0,0.0,0.0],[-0.6854102,1.3090171,1.9180341,0.0,0.809017,-0.309017,-0.5],[0.6854102,-1.3090171,-1.9180341,0.309017,-0.0,0.809017,0.5],[-0.0,-0.0,-0.0,0.6454972,0.5773503,-0.178411,-0.4670862]]},{"n":14,"s":"3.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.0000001796112,"st":3.0,"cf":"3","den":0.5185,"vlb":2.41014,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n14.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3360 vertex/face tests: ok;  min wall gap ~ 1.000000039595e-07","(2) separation, exact, 91 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999998118460e-08"],"p":[[0.2527781,2.6144112,0.0058619,0.0035842,-0.499311,-0.8101174,-0.3072221],[1.9222965,-1.1257272,1.1880343,0.4999971,0.5000029,-0.4999993,-0.5000007],[-2.1156725,-0.8128382,1.3075575,0.309017,0.0,0.809017,0.5],[1.4299983,-1.9222823,-1.12575,0.5,0.0,0.309017,-0.809017],[0.0,-1.0,2.6180341,0.309017,0.5,0.0,0.809017],[-1.6106606,1.6138654,1.6143627,0.3055629,-0.811879,-0.4974767,-0.0008943],[0.0,-0.0,-0.0,0.5,-0.5,-0.5,-0.5],[-0.6292248,-2.4804249,0.2226564,0.2796576,-0.5256171,0.6776284,-0.4316689],[-0.809017,-1.3090171,-2.1180341,0.809017,0.5,-0.309017,-0.0],[-0.8863808,1.4343735,-1.9152031,0.0003199,-0.0001977,-0.9999999,-0.0],[2.2407903,0.6103933,-0.2419069,0.4999669,0.0001731,0.3089304,0.8090705],[-2.6180341,0.0,-1.0,0.309017,0.0,0.809017,0.5],[0.9236982,0.1263271,-2.0471572,0.8090123,0.0,-0.4999971,-0.309034],[1.3112227,1.1148299,1.8076539,0.0,0.5024317,-0.8069324,-0.3105198]]},{"n":15,"s":"3.03743+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.0374364079347,"st":3.037436226642,"cf":null,"den":0.5353,"vlb":2.46621,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n15.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3600 vertex/face tests: ok;  min wall gap ~ 1.000000521250e-07","(2) separation, exact, 105 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999986433362e-08"],"p":[[0.8104299,2.3343501,-0.5306003,0.0011548,-0.4998415,-0.8092162,-0.3087496],[1.997387,-1.0835194,1.2834577,0.5,0.5,-0.5,-0.5],[-2.1953132,-0.7342019,1.3051115,0.3138357,0.005349,0.8073522,0.4996608],[1.3835811,-2.0766782,-0.9552235,0.5,-0.0,0.309017,-0.809017],[0.0,-1.0187182,2.6670388,0.309017,0.5,0.0,0.809017],[-1.5166041,1.8614424,0.0468906,0.309017,-0.809017,-0.5,0.0],[-0.0234116,-0.0012282,0.0249697,0.5009359,-0.5023343,-0.4923305,-0.5043156],[-0.4185948,-2.3277352,0.5490047,0.0,-0.809017,0.309017,-0.5],[-0.9296641,-1.5835194,-1.7531712,0.809017,0.5,-0.309017,-0.0],[-0.835883,1.337997,-2.1504347,0.0,0.0,-1.0,0.0],[2.4014917,0.4296641,-0.5042281,0.5,0.0,0.309017,0.809017],[-2.6180341,-0.0792912,-1.0490047,0.309017,0.0,0.809017,0.5],[0.8324623,-0.1986318,-2.1525488,0.809017,0.0,-0.5,-0.309017],[1.6483206,1.6483206,1.6483206,0.0,-0.5,0.809017,0.309017],[-0.7600124,1.3090171,2.1973253,0.809017,-0.5,0.309017,-0.0]]},{"n":16,"s":"3.10210+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.1021042036862,"st":3.102104018932,"cf":null,"den":0.536,"vlb":2.51984,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n16.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3840 vertex/face tests: ok;  min wall gap ~ 1.000000754027e-07","(2) separation, exact, 120 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000007245e-07"],"p":[[1.700638,1.700638,-1.700638,0.0,-0.5,-0.809017,-0.309017],[2.0798278,-1.0676765,1.4190602,0.5020262,0.5004767,-0.499519,-0.4979695],[-2.3291638,-0.4174143,1.3121876,0.3141172,0.0102453,0.8057923,0.5019204],[1.0252768,-2.3608756,-0.6323509,0.5,0.0,0.309017,-0.809017],[-0.0163013,-0.8126101,2.7416153,0.3141172,0.5019204,-0.0102453,0.8057923],[-1.7081959,1.667809,0.4786447,0.3121063,-0.8110566,-0.4946753,-0.0085556],[-0.0748293,-0.0053952,-0.0220125,0.5010102,-0.5062283,-0.4006786,-0.5763491],[-0.845953,-2.219067,0.8291995,0.0,-0.8057923,0.3204492,-0.4980071],[-1.2423431,-1.7938936,-1.5497471,0.809017,0.5,-0.309017,-0.0],[-0.9005815,1.4564482,-1.999599,0.038907,-0.0140358,-0.9990993,-0.0094786],[2.4679498,-0.4591013,-0.9591014,0.5,-0.0,0.309017,0.809017],[-2.75169,-0.0,-1.0510521,0.309017,-0.0,0.809017,0.5],[0.5661755,-0.4840701,-2.4017743,0.809017,0.0,-0.5,-0.309017],[2.0422027,1.1348209,0.7077445,1.83e-05,-0.5024883,0.8066907,0.3110556],[-0.1289231,1.4311354,2.1337893,0.812124,-0.4974774,0.3048056,-0.0080247],[0.2561243,2.7337242,0.0201799,0.2975921,-0.0027861,-0.8131429,-0.5002298]]},{"n":17,"s":"3.16774+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.167740007343,"st":3.1677398202,"cf":null,"den":0.5348,"vlb":2.57128,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n17.json","ok":true,"ver":true,"cert":["(1) containment, exact, 4080 vertex/face tests: ok;  min wall gap ~ 1.000000033951e-07","(2) separation, exact, 136 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999495136e-08"],"p":[[1.8863622,1.5391486,-1.3773452,0.5,0.5,-0.5,-0.5],[2.392887,-0.7195743,-0.7959675,0.5,-0.5,-0.5,-0.5],[0.435116,1.9717724,1.400952,0.309017,-0.0,-0.809017,0.5],[-2.1220666,1.1577709,-0.7894428,0.5,-0.0,0.309017,0.809017],[-1.8773452,1.4773452,1.6773452,0.5,-0.5,-0.5,0.5],[-0.0101648,0.1017039,-0.0799745,0.458043,-0.8540796,0.0887711,-0.2299224],[1.7351161,-1.3105573,1.7652477,0.5,0.5,0.5,0.5],[-2.5049846,-0.5381966,0.7024923,0.0,0.5,0.809017,-0.309017],[1.08387,-2.8376084,-0.0,0.809017,0.309017,-0.0,0.5],[-0.2357044,2.3416409,-0.8024923,0.0,1.0,0.0,-0.0],[0.0065248,0.9788855,-2.8335759,0.309017,-0.809017,-0.5,0.0],[-1.3090171,-2.4733127,-0.4024923,0.5,0.309017,-0.809017,-0.0],[-0.6236068,-1.7301316,1.791935,0.5,-0.5,0.5,-0.5],[2.3360681,0.8115093,0.9627554,0.5,-0.809017,0.0,-0.309017],[0.7301316,-1.3627554,-2.3863623,0.5,-0.809017,-0.0,0.309017],[-1.5260991,-0.7773452,-1.8944273,0.309017,0.809017,-0.5,-0.0],[-0.0,0.2416408,2.8376084,0.809017,0.5,-0.309017,-0.0]]},{"n":18,"s":"3.21549+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.2154906580806,"st":3.215490468793,"cf":"(53 + 18\u221a5)/29","den":0.5414,"vlb":2.62074,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n18.json","ok":true,"ver":true,"cert":["(1) containment, exact, 4320 vertex/face tests: ok;  min wall gap ~ 1.000000260026e-07","(2) separation, exact, 153 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999997874210e-08"],"p":[[2.4167623,-0.7820807,-0.6141041,0.5,-0.0,-0.309017,0.809017],[-0.0,0.0,2.9001148,0.309017,0.0,0.809017,0.5],[-0.9379109,1.4659954,-2.320454,0.5,0.0,-0.309017,-0.809017],[1.3715448,0.9667049,-2.0205776,0.309017,-0.0,0.809017,0.5],[-2.3898914,-0.8255588,1.0204063,0.5,0.5,-0.5,0.5],[0.1227398,-0.079712,-0.1470924,0.8092598,-0.3098366,-0.0089278,-0.4990192],[-1.1077453,2.9001148,0.0,0.309017,-0.5,-0.0,-0.809017],[-1.889826,1.3526009,1.7321381,0.5,-0.5,0.5,-0.5],[-1.4187057,-0.9683915,-2.0233065,0.809017,-0.5,0.309017,-0.0],[1.1077453,-2.9001148,0.0,0.309017,0.0,-0.809017,-0.5],[1.889826,-1.3526009,1.7321381,0.0,-0.0,0.0,1.0],[0.4128323,1.8628897,1.6782655,0.5,-0.5,-0.5,0.5],[1.3090171,2.5744502,-0.385896,0.0,-0.0,-0.0,1.0],[2.389826,0.8256646,1.0205776,0.0,0.309017,-0.5,0.809017],[-2.4177393,0.7805,-0.6170042,0.809017,0.309017,-0.0,-0.5],[0.8919501,-1.4712759,-2.31191,0.500335,0.5014226,-0.4985753,0.4996629],[-1.3090171,-2.5744502,-0.385896,0.309017,0.0,-0.809017,0.5],[-0.4128323,-1.8628897,1.6782655,0.309017,0.809017,0.5,-0.0]]},{"n":19,"s":"3.29218+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.2921826479134,"st":3.292182454765,"cf":null,"den":0.5325,"vlb":2.6684,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n19.json","ok":true,"ver":true,"cert":["(1) containment, exact, 4560 vertex/face tests: ok;  min wall gap ~ 1.000000976329e-07","(2) separation, exact, 171 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005025e-07"],"p":[[0.8764701,-2.5693319,-0.6843276,0.305898,-0.8083575,-0.5029625,0.0036517],[1.6872253,-2.1081985,1.4287601,0.0037746,0.4980125,0.8115434,0.3055593],[1.6260021,1.978432,1.5597775,0.3381983,-0.008774,-0.8012103,0.4935657],[-2.1242366,-0.4580314,1.6874233,0.8158236,-0.4954067,-0.2974742,-0.0226557],[0.4644655,1.3834092,-2.5278968,0.8062734,-0.5105242,-0.2975333,0.0276086],[1.9042335,1.6960379,-0.8284413,0.0313053,0.5005811,-0.8103237,-0.3030082],[0.6193359,-1.1527976,-2.6110761,0.0012959,0.8100356,0.3127643,0.4960031],[2.5894339,-0.6650388,-1.2232012,2.76e-05,0.3117108,0.5043973,0.8052452],[-0.0317368,2.9748972,-0.0048263,0.3111032,0.519874,0.01139,0.7954974],[-0.504958,1.3116759,2.6395982,0.5268591,0.0159528,-0.300322,0.7949665],[-1.5890518,-2.2819432,-1.1587551,0.8088713,0.30971,0.0017782,-0.4998038],[-0.7405687,-2.4193394,0.9355163,0.4986952,-0.8096213,0.0025299,-0.3095319],[-1.7207927,2.0109402,-1.5344917,0.3137998,-0.8032145,-0.5056039,0.0272191],[-1.4394905,-0.2516949,-2.1108519,0.5016689,-0.8083766,-0.001276,-0.3079837],[-1.9029056,1.6996246,0.9132926,0.9995285,0.0146425,0.0252586,-0.0095091],[-0.0131142,-1.0854182,2.9924009,0.5066224,-0.8064408,0.0050769,0.3048953],[3.0005059,0.0,1.1460913,0.309017,-0.809017,0.5,-0.0],[-2.3e-06,-2.2e-06,1.9e-06,0.4532776,-0.0854057,-0.7292023,0.5054792],[-2.9296246,-0.0501502,-0.4127158,0.5165988,0.0013226,-0.3212994,0.7936565]]},{"n":20,"s":"3.34969+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.3496991597496,"st":3.349698964161,"cf":null,"den":0.5321,"vlb":2.71442,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n20.json","ok":true,"ver":true,"cert":["(1) containment, exact, 4800 vertex/face tests: ok;  min wall gap ~ 1.000000617783e-07","(2) separation, exact, 190 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000008355e-07"],"p":[[1.190535,-2.6851522,-0.6121682,0.3050545,-0.8075573,-0.5047231,0.0069008],[1.715164,-2.028529,1.6713584,0.0066839,0.4971534,0.8128206,0.3035069],[1.725353,2.1799469,1.4277989,0.3052922,-0.0061523,-0.8073124,0.5049808],[-2.5361796,-0.8608114,1.3554412,0.8183754,-0.4904322,-0.2995524,-0.0025121],[0.6123025,1.4059815,-2.6862765,0.8064355,-0.4988708,-0.3174222,0.0057348],[2.0803624,1.6106454,-0.9744771,0.0,0.501463,-0.8113841,-0.3003176],[0.5992016,-1.3846879,-2.6758799,0.0061527,0.8133771,0.3260637,0.4817285],[2.6077282,-0.7555156,-1.3632049,0.0002359,-0.3206033,-0.5200034,-0.7917133],[-0.4261559,2.9016729,0.2697524,0.312106,0.4927103,-5.72e-05,0.812297],[-0.7101954,1.432287,2.6368711,0.5056429,-0.0,-0.3125045,0.8041556],[-1.7601183,-2.0991762,-1.5541378,0.8054203,0.3117337,0.0059001,-0.5040689],[-1.058757,-2.6797502,0.6272445,0.5013572,-0.8083325,0.0089518,-0.3084791],[-1.7451752,2.1288958,-1.5321167,0.305236,-0.806656,-0.5060785,-0.0046585],[-1.1509804,0.0267367,-2.364451,0.5074808,-0.8061,-0.0057376,-0.3043568],[-2.1586662,1.456073,0.9058653,0.9999033,0.0134882,0.0030642,-0.0014236],[-0.5559751,-1.3786537,2.7136194,0.510807,-0.8009498,0.0085666,0.3122215],[3.0526528,0.0374464,0.9613284,0.296847,-0.8161373,0.4951983,-0.024092],[4e-07,-0.1326034,-0.0081317,0.3081224,0.0298734,-0.8317068,0.4609033],[-3.0612785,0.0011357,-0.9270373,0.5026894,0.005854,-0.3198617,0.8030925],[1.1224694,0.1526455,2.3820718,0.8063122,-0.5069469,-0.3046918,-0.0053266]]},{"n":21,"s":"3.39148+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.3914857026894,"st":3.391485505499,"cf":null,"den":0.5383,"vlb":2.75892,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n21.json","ok":true,"ver":true,"cert":["(1) containment, exact, 5040 vertex/face tests: ok;  min wall gap ~ 1.000000135730e-07","(2) separation, exact, 210 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999996236632e-08"],"p":[[-0.8032218,1.5262166,-2.5819963,0.0006798,0.810882,-0.3048798,0.499518],[2.7682678,0.5860964,1.3933918,0.809017,0.309017,-0.0,-0.5],[-2.7356432,-0.6388842,0.6270481,0.309017,0.0,-0.809017,-0.5],[1.9269884,-1.9467882,-1.9152783,0.309017,-0.5,0.0,-0.809017],[0.1716456,-0.2123932,-0.02662,0.4862754,-0.3284521,0.8097151,0.0041106],[-1.2362055,2.064946,1.724095,0.809017,-0.309017,0.0,-0.5],[2.2038453,-1.4993513,0.5316489,0.309017,0.5,-0.0,-0.809017],[-1.2751188,-0.170937,2.3424285,0.0,0.5,-0.809017,0.309017],[-0.5134727,2.8537168,-0.4478371,0.5,0.309017,0.809017,0.0],[-1.1040372,-2.235883,1.4475132,0.5,-0.0,-0.309017,-0.809017],[0.5333488,-3.0324993,-0.1585608,0.5,0.809017,-0.0,0.309017],[1.7356814,2.2568564,-1.3348263,0.309017,0.0,-0.809017,0.5],[1.0843979,0.3344036,-2.4603006,0.309017,-0.0,-0.809017,-0.5],[1.3286937,2.4928847,1.0316756,0.5,0.309017,-0.809017,-0.0],[-1.6704965,-2.3623277,-0.8204298,0.809017,0.309017,0.0,-0.5],[-2.289704,-0.2974035,-1.7153804,0.809017,0.309017,0.0,0.5],[0.6714461,0.915523,2.7155188,0.5,0.5,-0.5,-0.5],[-0.4074139,-1.4878623,-2.657836,0.309017,-0.809017,0.5,0.0],[1.0863973,-1.5440122,2.4590621,0.5,-0.309017,0.809017,-0.0],[3.0446984,0.1388223,-1.0537988,0.5,0.5,0.5,-0.5],[-2.2491541,1.4260401,-0.2679024,0.0,-0.0,1.0,-0.0]]},{"n":22,"s":"3.44428+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.4442868343319,"st":3.444286634785,"cf":null,"den":0.5384,"vlb":2.80204,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n22.json","ok":true,"ver":true,"cert":["(1) containment, exact, 5280 vertex/face tests: ok;  min wall gap ~ 1.000000735901e-07","(2) separation, exact, 231 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005580e-07"],"p":[[-1.0794253,1.0199868,-2.5307948,0.0050282,0.8079026,-0.3116443,0.5001459],[2.7935134,0.6570828,1.4731267,0.809017,0.309017,-0.0,-0.5],[-3.1996129,0.0,1.2221434,0.309017,-0.0,-0.809017,-0.5],[1.372537,-2.2166719,-1.4187734,0.295429,-0.4813642,-0.0745082,-0.821863],[-0.9404624,-0.6012489,0.0237258,0.5004692,-0.3002607,0.8109955,-0.0407473],[2.296658,-1.4610116,0.6550627,0.313257,0.4930895,-0.00526,-0.8116065],[-0.9392717,-0.0237424,2.6191111,0.309978,-0.0019235,0.8084205,-0.5003661],[-0.4070937,2.6318653,-0.9051335,0.4927335,0.3082783,0.8137322,-0.0042556],[-1.8897852,-2.1088327,1.7544327,0.4967341,0.0,-0.3110304,-0.8102563],[0.4070937,-2.6318653,0.9051335,0.5012215,0.8052442,0.0042324,-0.3167663],[1.8897852,2.1088327,-1.7544327,0.3090145,-0.0040319,-0.8090104,0.4999959],[0.9392717,0.0237424,-2.6191111,0.309978,0.0011888,-0.8096093,-0.4984426],[-1.4330114,-2.7965687,-0.5769401,0.8060168,0.2884541,-0.0171378,-0.5165631],[-2.7935134,-0.6570828,-1.4731267,0.809017,0.309017,-0.0,0.5],[0.7174908,1.5316441,2.6988303,0.5012605,0.4997014,-0.4987378,-0.5002969],[-0.7174908,-1.5316441,-2.6988303,0.3082369,-0.8094974,0.4997014,0.0015592],[1.0639479,-1.0204324,2.5414493,0.5003652,-0.3096735,0.8085397,0.0007497],[3.1996129,0.0,-1.2221434,0.5,0.5,0.5,-0.5],[0.9404624,0.6012489,-0.0237258,0.4731537,-0.0132013,-0.3377491,-0.8135581],[1.4330114,2.7965687,0.5769401,0.48635,-0.8202769,0.0246084,0.3000064],[-2.296658,1.4610116,-0.6550627,0.5068604,0.8030956,0.0,-0.313257],[-1.4426094,2.2639592,1.4245937,0.0041138,0.3047568,0.490433,-0.8164446]]},{"n":23,"s":"3.55488+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.5548826372011,"st":3.554882432817,"cf":null,"den":0.512,"vlb":2.84387,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n23.json","ok":true,"ver":true,"cert":["(1) containment, exact, 5520 vertex/face tests: ok;  min wall gap ~ 1.000000811204e-07","(2) separation, exact, 253 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000007245e-07"],"p":[[-3.3443847,0.0,-0.8562493,0.0,0.309017,-0.5,0.809017],[-2.0231348,-2.1378271,-0.9144383,0.309017,-0.5,0.0,0.809017],[-1.567102,-0.4230028,-2.3758624,0.309017,0.809017,-0.5,0.0],[2.9919153,0.0253164,1.1288224,0.2145012,-0.4875666,0.5224313,0.6658331],[-1.1744021,0.6747324,0.0399303,0.749947,-0.1946746,-0.1581112,-0.6121129],[0.010609,-3.0832288,-0.422559,0.5,0.5,-0.5,-0.5],[0.4230028,-1.4390139,-3.0829546,0.309017,0.5,0.0,0.809017],[1.8987345,2.3391111,-1.6265668,0.5,-0.0,-0.309017,-0.809017],[1.9945875,-2.0537888,-1.0485879,0.0004098,0.3068984,0.5007803,-0.8093407],[-1.4042016,-2.527916,1.3210741,0.5,0.309017,-0.809017,0.0],[-1.185557,0.7915465,2.5429886,0.3161988,-0.0355695,0.8199422,-0.4758654],[-2.1178755,1.9845335,-2.0352696,0.5,0.5,-0.5,-0.5],[1.2146348,1.2187559,2.5936991,0.0,-0.4805556,0.8251409,0.2969997],[-2.9021412,-0.7155649,1.5507628,1.0,-0.0,-0.0,0.0],[1.6180947,2.7931959,0.8918422,0.809017,-0.5,0.309017,-0.0],[0.3758522,-0.6520919,0.9449413,0.0073967,0.6115289,0.1926696,0.7673696],[-1.7340912,2.6055095,1.1955251,0.5,-0.5,-0.5,0.5],[-0.0,1.2774413,-3.3443847,0.809017,-0.309017,-0.0,-0.5],[-0.0,-1.2774413,3.3443847,0.309017,0.809017,0.5,0.0],[0.7776854,0.1523752,-1.3029994,0.2180626,-0.0834231,-0.1325135,0.963291],[1.9058362,-1.9822012,1.8834294,0.4870282,0.1701851,0.1759827,-0.8383738],[3.3443847,0.0,-1.2774413,0.0,0.5,-0.809017,0.309017],[-0.3036829,3.0115931,-0.5384681,0.5,0.5,0.5,-0.5]]},{"n":24,"s":"3.57860+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.578600148297,"st":3.578599942831,"cf":null,"den":0.5237,"vlb":2.8845,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n24.json","ok":true,"ver":true,"cert":["(1) containment, exact, 5760 vertex/face tests: ok;  min wall gap ~ 1.000000243409e-07","(2) separation, exact, 276 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000009466e-07"],"p":[[0.0,0.8551641,-3.3754313,0.0,0.809017,-0.309017,0.5],[3.0842462,-0.4711474,1.4692623,0.809017,0.309017,0.0,-0.5],[-3.0863458,0.4677501,-0.0491254,0.3033999,0.0069101,-0.8054921,-0.5090023],[1.6258641,-2.8308592,-0.8695071,0.3072068,-0.5029199,-0.002234,-0.8078927],[-1.7290579,2.6638881,-1.1488755,0.3086416,0.0,0.8095353,0.4993926],[-0.9260954,2.7331869,0.9852812,0.7996153,-0.3213239,-0.0083532,-0.5072441],[1.6006088,-2.3066399,1.7293409,0.5,0.309017,0.809017,-0.0],[-2.1943211,0.2560987,2.0083726,0.0111411,-0.4946321,0.8118165,0.3101112],[1.2893,3.3754313,-0.0,0.5,0.309017,0.809017,0.0],[-1.9922416,-2.2013928,1.7699148,0.8203697,0.4747276,-0.3187638,0.0041037],[-0.6541928,-3.3754313,-0.0,0.309017,-0.5,0.0,0.809017],[1.9009661,2.0154045,-2.2005696,0.309017,0.0,-0.809017,0.5],[1.1620289,-1.3192633,-2.657258,0.3095703,0.0006843,-0.8093585,-0.4991038],[1.9446255,2.0320809,2.1735866,0.309017,0.809017,-0.5,-0.0],[-2.2807635,-1.7712098,-0.6902525,0.809017,0.309017,-0.0,-0.5],[-0.3358973,1.4406853,3.1304847,0.496189,0.8147675,-0.0192818,-0.2992967],[-1.1947029,-1.7456359,-2.6370643,0.309017,-0.809017,0.5,-0.0],[-0.1717974,-1.3549208,3.2692547,0.809017,0.5,0.309017,-0.0],[2.9355984,-0.7110913,-1.1355037,0.5000547,0.4996584,0.5001224,-0.5001643],[-0.0,-1.2254944,-0.7573972,0.809017,0.0,-0.5,0.309017],[2.6200972,1.2221562,-0.026983,0.0,0.809017,0.309017,-0.5],[0.0435987,1.2098099,-0.7617253,0.6961035,0.41801,-0.2020003,0.5476344],[0.6699016,0.0006127,1.3600654,0.708174,0.1754237,-0.5103164,0.4552948],[-2.1035949,0.5874536,-2.0614804,0.8136518,0.315572,-0.0001635,-0.4882469]]},{"n":25,"s":"3.60237+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.6023758230701,"st":3.602375616426,"cf":null,"den":0.5348,"vlb":2.92402,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n25.json","ok":true,"ver":true,"cert":["(1) containment, exact, 6000 vertex/face tests: ok;  min wall gap ~ 1.000000199941e-07","(2) separation, exact, 300 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000007245e-07"],"p":[[-0.3460451,0.3860515,-3.1926864,0.0,-0.809017,0.309017,-0.5],[3.4065541,0.0,1.2191487,0.809017,0.309017,0.0,-0.5],[-2.908512,0.805849,0.4596901,0.309017,-0.0,-0.809017,-0.5],[1.3531921,-3.2302016,-0.2269485,0.2900368,-0.4808853,-0.0187626,-0.8272098],[-1.6157864,2.897523,-0.8236296,0.309017,0.0,0.809017,0.5],[-1.0819186,2.47023,1.4675121,0.8064995,-0.2957832,0.0057681,-0.5118961],[2.1228885,-2.0770145,2.0945368,0.5,0.309017,0.809017,-0.0],[-1.7202849,0.3868873,2.3433595,0.0,-0.5,0.809017,0.309017],[0.7662089,3.4065541,0.0,0.5,0.309017,0.809017,-0.0],[-2.3374873,-1.7297864,1.5321414,0.809017,0.5,-0.309017,-0.0],[-1.4648822,-3.141691,-0.4285574,0.309017,-0.5,-0.0,0.809017],[1.3805095,1.8284956,-2.5533523,0.309017,0.0,-0.809017,0.5],[1.1689648,-1.7296078,-2.6009486,0.273118,-0.0385953,-0.8309718,-0.4831178],[1.9301917,1.9436384,1.6487636,0.4316936,0.8504648,-0.2458925,0.1728788],[-2.7738993,-1.023657,-0.8161753,0.809017,0.309017,0.0,-0.5],[-1.3377033,-1.832674,-2.5465915,0.309017,-0.809017,0.5,0.0],[-0.0,-1.1426757,3.4065541,0.809017,0.5,0.309017,0.0],[2.7058808,-0.913417,-0.9196983,0.551164,0.4714305,0.4385552,-0.5306984],[0.0245748,-1.2530211,-0.7343383,0.8063665,-0.0566133,-0.4952529,0.318265],[2.4918356,1.4800456,-0.6221554,0.0,-0.809017,-0.309017,0.5],[-0.0303684,1.2144075,-0.7181349,0.5371932,0.4898113,-0.4570749,0.5124363],[0.8189898,-0.1678429,1.351458,0.7146875,0.2238541,-0.485984,0.4504783],[-2.4640792,0.9346295,-1.8836694,0.809017,0.309017,0.0,-0.5],[-0.2145987,-2.5309488,1.4167591,0.309017,-0.809017,0.5,0.0],[0.2691441,1.4039918,3.2402139,0.309017,-0.809017,0.5,-0.0]]},{"n":26,"s":"3.63718+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.6371813494295,"st":3.637181141214,"cf":null,"den":0.5404,"vlb":2.9625,"move":"reinsert","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n26.json","ok":true,"ver":true,"cert":["(1) containment, exact, 6240 vertex/face tests: ok;  min wall gap ~ 1.000001038973e-07","(2) separation, exact, 325 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999996758436e-08"],"p":[[0.419944,1.478995,3.1925754,0.0,-0.309017,0.5,-0.809017],[-1.7728316,-2.7171378,-1.1892182,0.5,0.5,-0.5,0.5],[3.3916342,-0.0978601,0.343394,0.0,0.5,0.809017,-0.309017],[2.3033918,1.8586734,1.7385761,0.0,0.309017,-0.5,-0.809017],[0.4322056,2.1993612,-2.0068424,0.5017701,0.5045411,-0.50592,-0.4875551],[-1.255126,-0.046753,2.6764045,0.5,-0.809017,0.0,-0.309017],[-2.1034929,2.1641488,2.0069083,0.7941019,0.5204202,-0.3139421,0.0023088],[-1.6184063,1.276812,-2.4480626,0.4941303,0.5039104,-0.4987925,0.5031059],[-3.351901,-0.1074311,1.3270375,0.4996924,-0.5105295,0.5172271,0.4713207],[2.6288737,-1.3264923,-1.8231553,0.4994664,-0.5013424,0.5011826,0.4980011],[2.5496268,1.4279701,-1.4196343,0.4850726,-0.8183259,-0.0127813,-0.3080324],[-3.128397,-0.5237868,-1.5186594,0.0,0.5,-0.809017,0.309017],[-1.3465397,-0.821759,0.0315008,0.3173424,-0.0510583,-0.8060073,0.4970303],[1.074674,-0.5800729,-0.1739113,0.5143454,0.4970856,0.4906902,0.4975719],[1.3294238,3.3969215,-0.0051666,0.8223105,-0.0269315,0.4747673,-0.3125318],[-1.2170208,3.3989753,-0.0537314,0.4629937,-0.5011563,-0.5313833,0.5021065],[2.0927912,-0.4997105,2.158699,0.5,-0.309017,-0.809017,0.0],[-2.0730361,-2.2313966,1.975164,0.5,0.5,-0.5,0.5],[0.7421992,-2.5120896,-1.5209931,0.5,0.5,0.5,0.5],[1.9376284,-2.450491,1.07906,0.5,0.0,-0.309017,-0.809017],[-1.010363,-1.1117266,-2.8276764,0.0,0.0,0.0,-1.0],[0.0637736,1.4105736,0.7981327,0.6514535,0.3515075,0.6721535,0.0161435],[-0.2469046,-3.1519105,0.4857412,0.0,-0.309017,-0.5,0.809017],[0.8358481,0.1698692,-2.9355326,0.8128912,-0.0128351,0.4974918,-0.3025643],[-2.5797328,1.4115442,-0.4140226,0.0,-0.309017,-0.5,0.809017],[0.278861,-1.800778,2.6719195,0.309017,0.5,0.0,0.809017]]},{"n":27,"s":"3.70130+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.701301827806,"st":3.701301616719,"cf":null,"den":0.5325,"vlb":3.0,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n27.json","ok":true,"ver":true,"cert":["(1) containment, exact, 6480 vertex/face tests: ok;  min wall gap ~ 1.000000730760e-07","(2) separation, exact, 351 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003359e-07"],"p":[[3.1634587,0.2024309,-1.5809249,0.4986977,0.8095126,-0.0009942,-0.3098207],[-0.0095749,-1.2508426,3.5051142,0.0007908,0.0041485,0.9998191,0.0185449],[-2.8139901,-1.1683172,-1.7969083,0.0,0.309017,-0.5,0.809017],[-1.1309854,1.8283592,-2.6718871,0.0186972,0.9916783,0.0729518,0.1044157],[-0.2018025,-2.6162267,1.488301,0.8104489,-0.3066744,0.0046763,0.4991007],[2.5555212,-1.5861976,-0.2384124,0.4999779,-3.9e-05,-0.3097447,0.8087523],[-2.3676343,-1.8841363,2.0204743,0.999865,0.0147744,0.0071649,0.0005578],[-1.9734653,1.9950581,1.9816482,0.2663323,0.3635616,0.8589189,0.2432045],[0.7367372,-0.0116501,-1.0544752,0.5660889,-0.1302065,0.533869,0.6144701],[-1.5554029,3.2047541,-0.5360478,0.309017,0.5,-0.0,-0.809017],[-0.0029936,-0.1666427,-3.5319154,0.8100296,0.3112855,0.001156,-0.4969427],[-2.8607417,1.0507868,-1.1012506,0.3056963,-0.0002408,0.80433,0.5095124],[2.1835898,-2.1883264,2.1806624,0.0,0.809017,-0.309017,0.5],[1.81094,-1.8764154,-2.4142475,0.0035483,0.307992,-0.5024579,0.8078765],[0.9840666,-3.2888532,-0.3995714,0.3110581,-0.503025,-4.67e-05,-0.8063552],[1.5677579,2.1501242,-2.1209571,0.2399299,-0.0168791,-0.8291795,0.504589],[2.4332094,1.7840948,0.0965669,0.3099689,-0.4983207,-0.0011772,0.8096878],[-0.255803,1.454643,0.6187879,0.8224499,0.5686306,-0.0142001,-0.005804],[1.8344145,2.0448998,2.3644916,0.8157809,-0.0162788,-0.4907969,-0.3055405],[0.8453976,-0.3100314,1.4238596,0.6951319,0.2406667,-0.4975647,0.4596744],[3.32897,-0.0041133,1.4467626,0.0031576,-0.8057747,-0.312772,0.5028825],[-1.2343094,-0.6696006,-0.1319695,0.8091567,-0.4009631,0.164412,0.3968158],[-3.4023531,0.1971535,1.1760257,0.004131,-0.0060514,0.9998658,0.0146522],[0.8772496,3.5170687,-0.0215356,0.0009869,0.3044002,-0.5019977,-0.8095294],[-0.2172595,1.1609571,3.138156,0.2871686,0.507037,0.6542845,-0.4820368],[-1.5667035,-3.1864695,-0.3026301,0.497504,0.5024895,0.4994083,0.5005852],[-0.6855263,-2.0689849,-2.3679599,0.001802,-0.8077347,-0.3110466,0.5008108]]},{"n":28,"s":"3.73369+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.7336949542859,"st":3.73369474173,"cf":null,"den":0.5379,"vlb":3.03659,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n28.json","ok":true,"ver":true,"cert":["(1) containment, exact, 6720 vertex/face tests: ok;  min wall gap ~ 1.000000072061e-07","(2) separation, exact, 378 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000004470e-07"],"p":[[-0.5782309,0.9336235,-3.2210867,0.0,0.809017,-0.309017,0.5],[3.3764039,0.3269224,1.4917207,0.809017,0.309017,-0.0,-0.5],[-3.0884527,0.4779465,0.224735,0.3454746,0.0002614,-0.6688307,-0.658265],[1.9698681,-2.3326215,-2.0157978,0.309017,-0.5,-0.0,-0.809017],[-2.4345787,1.849225,-1.7510613,0.3095126,-0.0001893,0.8090168,0.4996935],[2.666727,-1.4752037,0.1715538,0.309017,0.5,-0.0,-0.809017],[-1.957707,-0.3466589,2.115996,0.0156622,-0.4895168,0.86814,-0.0803804],[1.3335698,3.578453,-0.0,0.5,0.309017,0.809017,-0.0],[-0.5246392,-2.4646255,1.4633173,0.4377197,-0.0320324,-0.6461583,-0.6243836],[1.156392,-3.2920966,0.1208005,0.3390884,0.9186324,0.0402862,0.1987727],[1.3643959,-0.1592086,-2.73521,0.309017,-0.0,-0.809017,-0.5],[1.955956,2.2681378,2.0972411,0.3197387,0.8067256,-0.4969329,-0.0043221],[-0.0962793,-1.2297001,3.5189491,0.5,-0.309017,0.809017,0.0],[1.6035698,1.1583371,-0.1041797,0.2839428,-0.7180424,-0.4090807,0.4862556],[-0.848548,1.001276,0.2605854,0.5345042,0.2546533,-0.471207,0.6537743],[-0.2615088,2.5696848,-1.6322213,0.0,-0.309017,0.5,0.809017],[-1.4603794,3.4271151,0.24487,0.5,0.309017,-0.809017,-0.0],[-2.4909087,-1.7596837,0.4579165,0.5248151,-0.3101454,0.4428185,0.6574882],[0.9033216,-0.0571323,1.6361887,0.5726187,0.6617734,-0.2556373,-0.4108692],[2.1116158,2.1734129,-2.2734027,0.309017,0.5,-0.0,-0.809017],[3.48243,0.1553686,-1.426193,0.309017,0.5,-0.0,0.809017],[0.0700203,1.2379431,3.2450985,0.9019933,0.1922143,0.3566437,-0.1492211],[-1.0081342,-2.9440061,-1.0265567,0.209179,-0.4041178,-0.5245966,-0.7195355],[1.9715688,-2.1199197,2.3599565,0.0,0.5,-0.809017,0.309017],[-2.4606074,-0.7948016,-1.7460683,0.6389557,0.18265,0.5773672,0.4743645],[0.2886733,-0.9024016,-0.7077545,0.8318351,0.100896,-0.5435459,-0.0492765],[-1.9693702,2.1160618,2.3603108,0.4996512,-0.3110572,0.8084502,-0.0006214],[-0.4474887,-1.527407,-2.9846036,0.1033202,-0.7533095,0.1783542,0.6245315]]},{"n":29,"s":"3.74709+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.7470909531576,"st":3.74709074,"cf":"(55 + 24\u221a5)/29","den":0.5512,"vlb":3.07232,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n29.json","ok":true,"ver":true,"cert":["(1) containment, exact, 6960 vertex/face tests: ok;  min wall gap ~ 1.000000854131e-07","(2) separation, exact, 406 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999984995623e-08"],"p":[[0.0,1.3735454,-3.5959886,0.0,-0.809017,0.309017,-0.5],[-2.2224432,2.2224432,2.2224432,0.809017,-0.309017,-0.0,-0.5],[1.3735454,3.5959886,-0.0,0.5,0.309017,0.809017,0.0],[1.3735454,-3.5959886,-0.0,0.5,0.809017,-0.0,0.309017],[2.2224432,2.2224432,-2.2224432,0.309017,0.0,-0.809017,0.5],[2.2224432,2.2224432,2.2224432,0.5,0.5,-0.5,0.5],[-2.2224432,-2.2224432,-2.2224432,0.809017,0.309017,-0.0,-0.5],[-3.5959886,-0.0,-1.3735454,0.809017,0.309017,0.0,0.5],[0.0,1.3735454,3.5959886,0.5,0.5,-0.5,-0.5],[0.0,-1.3735454,-3.5959886,0.309017,-0.809017,0.5,-0.0],[0.0,-1.3735454,3.5959886,0.5,-0.309017,0.809017,-0.0],[-1.3735454,-3.5959886,-0.0,0.5,-0.0,-0.309017,-0.809017],[1.8944273,1.1708204,-0.0,0.2628656,-0.688191,-0.4253254,0.5257311],[0.0,1.8944273,1.1708204,0.4253254,0.2628656,-0.688191,0.5257311],[1.1708204,0.0,1.8944273,0.688191,-0.2628656,-0.5257311,-0.4253254],[2.2224432,-2.2224432,2.2224432,0.309017,0.5,0.0,0.809017],[-1.3735454,3.5959886,-0.0,0.5,0.309017,-0.809017,0.0],[-3.5959886,-0.0,1.3735454,0.5,-0.5,0.5,0.5],[-1.1708204,-0.0,-1.8944273,0.0,-0.688191,0.5877853,0.4253254],[-1.8944273,-1.1708204,-0.0,0.2628656,0.688191,0.4253254,0.5257311],[0.0,-0.0,0.0,0.5,-0.309017,-0.809017,-0.0],[0.0,-1.8944273,1.1708204,0.1624598,0.8506508,0.4253254,-0.2628656],[-1.1708204,0.0,1.8944273,0.1624598,0.2628656,0.8506508,-0.4253254],[1.1708204,-0.0,-1.8944273,0.2628656,0.4253254,-0.5257311,-0.688191],[-0.0,1.8944273,-1.1708204,0.2628656,0.4253254,0.8506508,-0.1624598],[0.0,-1.8944273,-1.1708204,0.2628656,0.1624598,0.9510565,0.0],[-1.8944273,1.1708204,-0.0,0.0,0.4253254,0.688191,-0.5877853],[1.8944273,-1.1708204,-0.0,0.5257311,0.4253254,0.688191,0.2628656],[2.2224432,-2.2224432,-2.2224432,0.0,-0.809017,0.309017,0.5]]},{"n":30,"s":"3.74709+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.7470909531576,"st":3.74709074,"cf":"(55 + 24\u221a5)/29","den":0.5702,"vlb":3.10723,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n30.json","ok":true,"ver":true,"cert":["(1) containment, exact, 7200 vertex/face tests: ok;  min wall gap ~ 1.000000838259e-07","(2) separation, exact, 435 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999985040032e-08"],"p":[[-0.0,1.3735454,-3.5959886,0.0,-0.809017,0.309017,-0.5],[-2.2224432,2.2224432,2.2224432,0.809017,-0.309017,-0.0,-0.5],[1.3735454,3.5959886,0.0,0.5,0.309017,0.809017,0.0],[1.3735454,-3.5959886,0.0,0.5,0.809017,-0.0,0.309017],[2.2224432,2.2224432,-2.2224432,0.309017,0.0,-0.809017,0.5],[2.2224432,2.2224432,2.2224432,0.5,0.5,-0.5,0.5],[-2.2224432,-2.2224432,-2.2224432,0.809017,0.309017,-0.0,-0.5],[-3.5959886,-0.0,-1.3735454,0.809017,0.309017,0.0,0.5],[-0.0,1.3735454,3.5959886,0.5,0.5,-0.5,-0.5],[-0.0,-1.3735454,-3.5959886,0.309017,-0.809017,0.5,-0.0],[-0.0,-1.3735454,3.5959886,0.5,-0.309017,0.809017,-0.0],[3.5959886,-0.0,-1.3735454,0.5,0.5,0.5,-0.5],[-1.3735454,-3.5959886,0.0,0.5,-0.0,-0.309017,-0.809017],[1.8944273,1.1708204,0.0,0.2628656,-0.688191,-0.4253254,0.5257311],[-0.0,1.8944273,1.1708204,0.4253254,0.2628656,-0.688191,0.5257311],[1.1708204,0.0,1.8944273,0.688191,-0.2628656,-0.5257311,-0.4253254],[2.2224432,-2.2224432,2.2224432,0.309017,0.5,0.0,0.809017],[-1.3735454,3.5959886,0.0,0.5,0.309017,-0.809017,0.0],[-3.5959886,-0.0,1.3735454,0.5,-0.5,0.5,0.5],[-1.1708204,-0.0,-1.8944273,0.0,-0.688191,0.5877853,0.4253254],[-1.8944273,-1.1708204,0.0,0.2628656,0.688191,0.4253254,0.5257311],[0.0,-0.0,0.0,0.5,-0.309017,-0.809017,-0.0],[-0.0,-1.8944273,1.1708204,0.1624598,0.8506508,0.4253254,-0.2628656],[-1.1708204,0.0,1.8944273,0.1624598,0.2628656,0.8506508,-0.4253254],[1.1708204,-0.0,-1.8944273,0.2628656,0.4253254,-0.5257311,-0.688191],[-0.0,1.8944273,-1.1708204,0.2628656,0.4253254,0.8506508,-0.1624598],[-0.0,-1.8944273,-1.1708204,0.2628656,0.1624598,0.9510565,0.0],[-1.8944273,1.1708204,0.0,0.0,0.4253254,0.688191,-0.5877853],[1.8944273,-1.1708204,0.0,0.5257311,0.4253254,0.688191,0.2628656],[2.2224432,-2.2224432,-2.2224432,0.0,-0.809017,0.309017,0.5]]},{"n":31,"s":"3.74709+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.7470909531576,"st":3.74709074,"cf":"(55 + 24\u221a5)/29","den":0.5892,"vlb":3.14138,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n31.json","ok":true,"ver":true,"cert":["(1) containment, exact, 7440 vertex/face tests: ok;  min wall gap ~ 1.000000775942e-07","(2) separation, exact, 465 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999985017828e-08"],"p":[[0.0,1.3735454,-3.5959886,0.0,-0.809017,0.309017,-0.5],[-2.2224432,2.2224432,2.2224432,0.809017,-0.309017,-0.0,-0.5],[1.3735454,3.5959886,0.0,0.5,0.309017,0.809017,0.0],[-2.2224432,-2.2224432,2.2224432,0.309017,0.0,-0.809017,-0.5],[1.3735454,-3.5959886,0.0,0.5,0.809017,-0.0,0.309017],[2.2224432,2.2224432,-2.2224432,0.309017,0.0,-0.809017,0.5],[2.2224432,2.2224432,2.2224432,0.5,0.5,-0.5,0.5],[-2.2224432,-2.2224432,-2.2224432,0.809017,0.309017,-0.0,-0.5],[-3.5959886,-0.0,-1.3735454,0.809017,0.309017,0.0,0.5],[0.0,1.3735454,3.5959886,0.5,0.5,-0.5,-0.5],[0.0,-1.3735454,-3.5959886,0.309017,-0.809017,0.5,-0.0],[0.0,-1.3735454,3.5959886,0.5,-0.309017,0.809017,-0.0],[3.5959886,-0.0,-1.3735454,0.5,0.5,0.5,-0.5],[-1.3735454,-3.5959886,0.0,0.5,-0.0,-0.309017,-0.809017],[1.8944273,1.1708204,0.0,0.2628656,-0.688191,-0.4253254,0.5257311],[0.0,1.8944273,1.1708204,0.4253254,0.2628656,-0.688191,0.5257311],[1.1708204,0.0,1.8944273,0.688191,-0.2628656,-0.5257311,-0.4253254],[2.2224432,-2.2224432,2.2224432,0.309017,0.5,0.0,0.809017],[-1.3735454,3.5959886,0.0,0.5,0.309017,-0.809017,0.0],[-3.5959886,-0.0,1.3735454,0.5,-0.5,0.5,0.5],[-1.1708204,-0.0,-1.8944273,0.0,-0.688191,0.5877853,0.4253254],[-1.8944273,-1.1708204,0.0,0.2628656,0.688191,0.4253254,0.5257311],[0.0,-0.0,0.0,0.5,-0.309017,-0.809017,-0.0],[0.0,-1.8944273,1.1708204,0.1624598,0.8506508,0.4253254,-0.2628656],[-1.1708204,0.0,1.8944273,0.1624598,0.2628656,0.8506508,-0.4253254],[1.1708204,-0.0,-1.8944273,0.2628656,0.4253254,-0.5257311,-0.688191],[-0.0,1.8944273,-1.1708204,0.2628656,0.4253254,0.8506508,-0.1624598],[0.0,-1.8944273,-1.1708204,0.2628656,0.1624598,0.9510565,0.0],[-1.8944273,1.1708204,0.0,0.0,0.4253254,0.688191,-0.5877853],[1.8944273,-1.1708204,0.0,0.5257311,0.4253254,0.688191,0.2628656],[2.2224432,-2.2224432,-2.2224432,0.0,-0.809017,0.309017,0.5]]},{"n":32,"s":"3.74709+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.7470909531576,"st":3.74709074,"cf":"(55 + 24\u221a5)/29","den":0.6082,"vlb":3.1748,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n32.json","ok":true,"ver":true,"cert":["(1) containment, exact, 7680 vertex/face tests: ok;  min wall gap ~ 1.000000513058e-07","(2) separation, exact, 496 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999985017828e-08"],"p":[[-0.0,1.3735454,-3.5959886,0.0,-0.809017,0.309017,-0.5],[3.5959886,-0.0,1.3735454,0.809017,0.309017,-0.0,-0.5],[-2.2224432,2.2224432,2.2224432,0.809017,-0.309017,-0.0,-0.5],[1.3735454,3.5959886,0.0,0.5,0.309017,0.809017,0.0],[-2.2224432,-2.2224432,2.2224432,0.309017,0.0,-0.809017,-0.5],[1.3735454,-3.5959886,0.0,0.5,0.809017,-0.0,0.309017],[2.2224432,2.2224432,-2.2224432,0.309017,0.0,-0.809017,0.5],[2.2224432,2.2224432,2.2224432,0.5,0.5,-0.5,0.5],[-2.2224432,-2.2224432,-2.2224432,0.809017,0.309017,-0.0,-0.5],[-3.5959886,-0.0,-1.3735454,0.809017,0.309017,0.0,0.5],[-0.0,1.3735454,3.5959886,0.5,0.5,-0.5,-0.5],[-0.0,-1.3735454,-3.5959886,0.309017,-0.809017,0.5,-0.0],[-0.0,-1.3735454,3.5959886,0.5,-0.309017,0.809017,-0.0],[3.5959886,-0.0,-1.3735454,0.5,0.5,0.5,-0.5],[-1.3735454,-3.5959886,0.0,0.5,-0.0,-0.309017,-0.809017],[1.8944273,1.1708204,0.0,0.2628656,-0.688191,-0.4253254,0.5257311],[-0.0,1.8944273,1.1708204,0.4253254,0.2628656,-0.688191,0.5257311],[1.1708204,-0.0,1.8944273,0.688191,-0.2628656,-0.5257311,-0.4253254],[2.2224432,-2.2224432,2.2224432,0.309017,0.5,0.0,0.809017],[-1.3735454,3.5959886,0.0,0.5,0.309017,-0.809017,0.0],[-3.5959886,-0.0,1.3735454,0.5,-0.5,0.5,0.5],[-1.1708204,-0.0,-1.8944273,0.0,-0.688191,0.5877853,0.4253254],[-1.8944273,-1.1708204,0.0,0.2628656,0.688191,0.4253254,0.5257311],[-0.0,-0.0,0.0,0.5,-0.309017,-0.809017,-0.0],[-0.0,-1.8944273,1.1708204,0.1624598,0.8506508,0.4253254,-0.2628656],[-1.1708204,-0.0,1.8944273,0.1624598,0.2628656,0.8506508,-0.4253254],[1.1708204,-0.0,-1.8944273,0.2628656,0.4253254,-0.5257311,-0.688191],[-0.0,1.8944273,-1.1708204,0.2628656,0.4253254,0.8506508,-0.1624598],[-0.0,-1.8944273,-1.1708204,0.2628656,0.1624598,0.9510565,0.0],[-1.8944273,1.1708204,0.0,0.0,0.4253254,0.688191,-0.5877853],[1.8944273,-1.1708204,0.0,0.5257311,0.4253254,0.688191,0.2628656],[2.2224432,-2.2224432,-2.2224432,0.0,-0.809017,0.309017,0.5]]},{"n":33,"s":"3.74709+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.7470909531576,"st":3.74709074,"cf":"(55 + 24\u221a5)/29","den":0.6272,"vlb":3.20753,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n33.json","ok":true,"ver":true,"cert":["(1) containment, exact, 7920 vertex/face tests: ok;  min wall gap ~ 1.000000417193e-07","(2) separation, exact, 528 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999985017828e-08"],"p":[[-0.0,1.3735454,-3.5959886,0.0,-0.809017,0.309017,-0.5],[3.5959886,-0.0,1.3735454,0.809017,0.309017,-0.0,-0.5],[-2.2224432,2.2224432,2.2224432,0.809017,-0.309017,-0.0,-0.5],[1.3735454,3.5959886,0.0,0.5,0.309017,0.809017,0.0],[-2.2224432,-2.2224432,2.2224432,0.309017,0.0,-0.809017,-0.5],[1.3735454,-3.5959886,0.0,0.5,0.809017,-0.0,0.309017],[2.2224432,2.2224432,-2.2224432,0.309017,0.0,-0.809017,0.5],[2.2224432,2.2224432,2.2224432,0.5,0.5,-0.5,0.5],[-2.2224432,-2.2224432,-2.2224432,0.809017,0.309017,-0.0,-0.5],[-3.5959886,-0.0,-1.3735454,0.809017,0.309017,0.0,0.5],[-0.0,1.3735454,3.5959886,0.5,0.5,-0.5,-0.5],[-0.0,-1.3735454,-3.5959886,0.309017,-0.809017,0.5,-0.0],[-0.0,-1.3735454,3.5959886,0.5,-0.309017,0.809017,-0.0],[3.5959886,-0.0,-1.3735454,0.5,0.5,0.5,-0.5],[-1.3735454,-3.5959886,0.0,0.5,-0.0,-0.309017,-0.809017],[1.8944273,1.1708204,0.0,0.2628656,-0.688191,-0.4253254,0.5257311],[-0.0,1.8944273,1.1708204,0.4253254,0.2628656,-0.688191,0.5257311],[1.1708204,-0.0,1.8944273,0.688191,-0.2628656,-0.5257311,-0.4253254],[2.2224432,-2.2224432,2.2224432,0.309017,0.5,0.0,0.809017],[-1.3735454,3.5959886,0.0,0.5,0.309017,-0.809017,0.0],[-3.5959886,-0.0,1.3735454,0.5,-0.5,0.5,0.5],[-1.1708204,-0.0,-1.8944273,0.0,-0.688191,0.5877853,0.4253254],[-1.8944273,-1.1708204,0.0,0.2628656,0.688191,0.4253254,0.5257311],[0.0,-0.0,0.0,0.5,-0.309017,-0.809017,-0.0],[-0.0,-1.8944273,1.1708204,0.1624598,0.8506508,0.4253254,-0.2628656],[-1.1708204,-0.0,1.8944273,0.1624598,0.2628656,0.8506508,-0.4253254],[1.1708204,-0.0,-1.8944273,0.2628656,0.4253254,-0.5257311,-0.688191],[-0.0,1.8944273,-1.1708204,0.2628656,0.4253254,0.8506508,-0.1624598],[-0.0,-1.8944273,-1.1708204,0.2628656,0.1624598,0.9510565,0.0],[-2.2224432,2.2224432,-2.2224432,0.5,-0.0,0.309017,-0.809017],[-1.8944273,1.1708204,0.0,0.0,0.4253254,0.688191,-0.5877853],[1.8944273,-1.1708204,0.0,0.5257311,0.4253254,0.688191,0.2628656],[2.2224432,-2.2224432,-2.2224432,0.0,-0.809017,0.309017,0.5]]},{"n":34,"s":"3.91148+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.9114884234221,"st":3.911488202894,"cf":null,"den":0.5681,"vlb":3.23961,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n34.json","ok":true,"ver":true,"cert":["(1) containment, exact, 8160 vertex/face tests: ok;  min wall gap ~ 1.000001070783e-07","(2) separation, exact, 561 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-0.0091343,1.0858794,-3.8055424,0.0,-0.809017,0.309017,-0.5],[3.79455,-0.0055757,1.4508151,0.8113335,0.315369,-0.0026062,-0.4922129],[-2.8786655,1.5088526,0.3153421,0.3049654,0.0049908,-0.8064851,-0.5065105],[2.1474758,-2.5299938,-2.0730152,0.309017,-0.5,0.0,-0.809017],[-2.3176009,2.249511,-2.3304418,0.2743668,-0.0263212,0.7721499,0.5725509],[-2.1402742,2.0703263,2.4884255,0.8069576,-0.3057148,0.0040703,-0.5053131],[2.6425356,-1.8909188,0.2390551,0.309017,0.5,-0.0,-0.809017],[-1.1572799,-0.0918231,1.9228883,0.0118198,0.7140107,-0.5981295,0.3637172],[1.4557442,3.8111877,0.0,0.5,0.309017,0.809017,-0.0],[-2.2692837,-2.2839437,2.3120573,0.2560595,-0.0404945,-0.8265767,-0.4995646],[1.183787,-3.7666821,0.0720116,0.5,0.809017,0.0,0.309017],[2.636285,1.9010325,-2.0975752,0.309017,-0.0,-0.809017,0.5],[1.7387392,-0.3220701,-2.7365878,0.309017,0.0,-0.809017,-0.5],[2.5001505,2.0860106,2.2575581,0.3076578,0.8166367,-0.4883116,0.0016935],[-2.5034673,-2.1054054,-2.2430737,0.805088,0.3112302,0.0085891,-0.5048716],[-3.7967306,-0.0089395,-1.4416468,0.8070399,0.3221559,-0.004461,0.4948558],[-0.0138321,1.0617449,3.7966925,0.5113117,0.4991924,-0.4977442,-0.4915465],[-0.1737439,-1.4660547,-3.6985903,0.3096821,-0.8094273,0.4989226,-0.0008226],[-0.076961,-1.4628251,3.7263234,0.4970143,-0.3272701,0.803303,-0.0239862],[3.6656369,-0.2126861,-1.2815755,0.5019008,0.5004473,0.4995489,-0.4980954],[-1.5409431,-3.6733329,0.2230537,0.5,0.0,-0.309017,-0.809017],[1.8103293,1.1925843,0.1108635,0.0746056,0.7007977,0.5472321,-0.4515016],[0.189539,2.5764023,1.9979247,0.3170901,0.0162592,-0.8038448,0.5030139],[1.1195562,-0.1047822,1.8906296,0.6603081,-0.298073,-0.5453268,-0.4216211],[2.0931497,-2.2552562,2.51755,0.309017,0.5,0.0,0.809017],[0.4388483,2.5815733,-1.9895579,0.0,-0.309017,0.5,0.809017],[-1.4628092,3.7997563,0.0184964,0.5,0.309017,-0.809017,0.0],[-3.5985045,-0.3231466,1.5871896,0.505287,-0.4946833,0.5012368,0.4987336],[-1.336297,0.0712677,-2.0072531,0.0242085,-0.6353877,0.678893,0.3671522],[-1.9294276,-1.2278886,-0.0064503,0.2438984,0.7155238,0.4040315,0.5150707],[-0.3007737,-2.804711,-1.6285135,0.0,-0.5,0.809017,-0.309017],[0.57154,-0.692589,-0.6117272,0.2611911,-0.1880804,-0.9456785,0.0457942],[-0.0633494,-2.0139648,1.310286,0.2014111,0.8448644,0.4032846,-0.2880959],[-0.4501151,1.3335915,-0.0438482,0.1618221,0.2160747,-0.7545264,0.5981766]]},{"n":35,"s":"3.98565+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.9856528357571,"st":3.985652611898,"cf":null,"den":0.5528,"vlb":3.27107,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n35.json","ok":true,"ver":true,"cert":["(1) containment, exact, 8400 vertex/face tests: ok;  min wall gap ~ 1.000000578170e-07","(2) separation, exact, 595 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000007245e-07"],"p":[[-0.221972,1.1618496,-3.771084,0.2413806,-0.8503534,0.1756246,-0.4333481],[3.5792631,0.0765537,1.696164,0.809017,0.309017,-0.0,-0.5],[-2.9676708,1.5219218,0.2807205,0.309017,0.0,-0.809017,-0.5],[2.2487597,-2.6851443,-1.9790592,0.309017,-0.5,-0.0,-0.809017],[-2.2599459,2.1304195,-2.2737987,0.4317592,-0.3640774,0.8030386,0.1901597],[-2.3005506,2.2016868,2.4864517,0.809017,-0.309017,0.0,-0.5],[2.8935808,-1.641802,0.2404536,0.309017,0.5,-0.0,-0.809017],[-1.3210821,-0.1055064,2.1998832,0.0163702,-0.7211989,0.5838373,-0.3724756],[1.6410175,3.637105,0.4313826,0.4945816,0.3024956,0.8147912,-0.0008475],[-2.3718611,-2.3535081,2.4172962,0.3089779,0.0128748,-0.8039968,-0.5078937],[1.5782326,-3.7495921,0.2567465,0.5,0.809017,-0.0,0.309017],[2.4154438,2.4154438,-2.4154438,0.309017,0.0,-0.809017,0.5],[1.2316344,-0.7889857,-3.1470782,0.309017,0.0,-0.809017,-0.5],[2.4178098,2.2371346,2.3542459,0.3230037,0.8277903,-0.4584683,0.0154459],[-2.3642084,-2.4983444,-1.7999951,0.809017,0.309017,0.0,-0.5],[-3.9082702,-0.0,-1.4928264,0.809017,0.309017,0.0,0.5],[0.0,1.1343348,3.9082702,0.5,0.5,-0.5,-0.5],[-0.7697005,-1.7868258,-3.4325691,0.309017,-0.809017,0.5,0.0],[0.0215057,-1.5153351,3.6681094,0.2633361,-0.1687158,0.94712,-0.0717834],[3.35649,-0.2862582,-1.8338453,0.5178405,0.4818169,0.5040807,-0.4955767],[-1.632574,-3.6821537,0.3658641,0.5,0.0,-0.309017,-0.809017],[2.7483373,1.4703606,-0.106426,0.2264581,0.7365897,0.3679473,-0.5203529],[0.0573463,2.6225977,2.0802618,0.309017,-0.0,-0.809017,0.5],[2.2960823,-2.3698518,2.4892133,0.309017,0.5,-0.0,0.809017],[-0.0543991,3.2051757,-1.1376308,0.0,0.309017,-0.5,-0.809017],[-3.7347754,-0.2807205,1.6000521,0.5,-0.5,0.5,0.5],[-1.4797335,-0.0787101,-1.8117328,0.0550661,0.6361623,-0.7069696,-0.3040711],[-1.8660786,-1.2580172,0.2610615,0.2719241,0.7202543,0.3969368,0.4997321],[-0.1154487,-3.0958429,-1.314535,0.0,0.5,-0.809017,0.309017],[-0.02254,-2.1588488,1.5299735,0.216126,0.8618686,0.3609992,-0.2831105],[-0.5425713,1.0894854,0.1233979,0.2044587,0.1192801,-0.7282792,0.6431006],[0.7030945,0.9500151,-1.7247724,0.0,0.5,0.809017,-0.309017],[0.7054872,-0.9461436,-0.5567533,0.5,0.809017,-0.0,-0.309017],[0.986828,-0.0183628,1.9470535,0.3919042,0.3177973,-0.6666262,-0.5486579],[-1.6312648,3.5956397,0.5058467,0.309017,0.5,-0.0,-0.809017]]},{"n":36,"s":"4.02142+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.0214204423464,"st":4.021420217161,"cf":null,"den":0.5536,"vlb":3.30193,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n36.json","ok":true,"ver":true,"cert":["(1) containment, exact, 8640 vertex/face tests: ok;  min wall gap ~ 1.000000960186e-07","(2) separation, exact, 630 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-0.112451,0.8417736,-3.8855921,0.0096583,-0.8119494,0.3041679,-0.4981232],[3.8182708,0.2213791,1.5952695,0.809017,0.309017,-0.0,-0.5],[-3.1521306,1.2992165,0.5617955,0.309017,-0.0,-0.809017,-0.5],[-1.1983527,2.503001,-2.3495303,0.5,-0.309017,0.809017,-0.0],[-2.2032646,1.6200958,2.5933982,0.809017,-0.309017,-0.0,-0.5],[-0.8810438,-0.3260556,2.0144194,0.0375745,-0.7137131,0.5681914,-0.4078729],[1.8853145,3.3489681,0.9807268,0.5,0.309017,0.809017,-0.0],[-2.1273762,-2.4637411,2.4130541,0.309017,-0.0,-0.809017,-0.5],[2.4443804,2.4443804,-2.4443804,0.309017,0.0,-0.809017,0.5],[1.6092381,-0.6308232,-2.9605267,0.3148865,0.0072919,-0.8125851,-0.4904067],[2.0477761,1.787011,2.6894953,0.309017,0.809017,-0.5,0.0],[-2.510942,-2.2394047,-2.3053534,0.8115007,0.3225729,0.0152046,-0.4870135],[-3.1122689,1.3637142,-2.0316026,0.809017,0.309017,-0.0,0.5],[-0.0039281,0.8706701,3.9526629,0.5,0.5,-0.5,-0.5],[-0.3902289,-1.6618337,-3.7017294,0.306473,-0.8122553,0.4962637,0.0061709],[0.3117479,-1.6297873,3.7624198,0.0,-0.0,-1.0,-0.0],[3.6342214,0.1771038,-1.5484914,0.4760885,0.5424322,0.3830835,-0.5765016],[-1.6089187,-3.7961859,0.2367043,0.501203,-0.0,-0.3018836,-0.8109635],[2.1744296,1.1552206,-0.0185785,0.0062573,0.8412106,0.1622931,-0.5157389],[-0.1293239,2.5004574,2.3536459,0.309017,-0.0,-0.809017,0.5],[0.6617449,3.3539968,-0.8810997,0.0101128,-0.3007784,0.5131453,0.8038109],[-3.5889126,-0.5924885,1.7370206,0.5,-0.5,0.5,0.5],[-1.3079753,0.0277628,-2.0253263,0.0021862,-0.5048672,0.8034118,0.3156482],[-1.5398617,-1.3116346,0.0992111,0.2542158,0.7051688,0.4622234,0.4737731],[-0.3284208,-2.9732048,-1.5887245,0.0048534,0.5063319,-0.8065558,0.3050773],[0.1649764,-2.3383013,1.35797,0.1427448,0.830855,0.4585823,-0.2810804],[-0.652884,1.4109028,0.1673262,0.1866525,0.1313582,-0.712557,0.6634519],[0.6036747,1.1798762,-1.6713777,0.0069386,0.4996574,0.8084348,-0.3110104],[0.6988946,-0.8838547,-0.6697562,0.4182847,0.7345055,-0.0250919,-0.5337696],[1.3934196,-0.3311638,1.7364152,0.3697041,0.3516728,-0.6861897,-0.5184484],[-1.6412153,3.6997881,0.3235371,0.3347743,0.4858042,-0.0142085,-0.8072909],[-3.6287743,-0.5279909,-0.8563775,0.0,1.0,-0.0,0.0],[2.2600472,-2.6846731,-2.0555787,0.484941,0.5034093,0.5148233,0.496355],[2.8073446,-1.4923641,0.1226922,0.1122035,0.0022299,0.9064573,-0.4071125],[2.4376405,-2.4552858,2.4267352,0.0,-0.309017,-0.5,-0.809017],[1.3394345,-3.8066254,0.1312997,0.2936984,-0.5137093,0.7018064,-0.3966255]]},{"n":37,"s":"4.07872+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.0787252088671,"st":4.07872498081,"cf":null,"den":0.5453,"vlb":3.33222,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n37.json","ok":true,"ver":true,"cert":["(1) containment, exact, 8880 vertex/face tests: ok;  min wall gap ~ 1.000000002800e-07","(2) separation, exact, 666 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000008355e-07"],"p":[[0.3693201,1.8562041,-3.5174431,0.2930749,0.0,0.8132983,-0.502646],[3.3034544,1.175743,1.9884564,0.809017,0.309017,0.0,-0.5],[-3.1025893,1.5007494,0.7713703,0.3090368,-2.45e-05,-0.8090293,-0.4999679],[2.2406989,-2.3958637,-2.6426201,0.4989811,-0.4993713,-0.5000013,-0.5016421],[-2.9826383,1.6948342,-2.1867316,0.809017,0.0,0.5,0.309017],[-2.069541,2.3284575,2.7506057,0.8092072,-0.3093218,-0.0006586,-0.499503],[2.7339866,-2.0924976,-0.3319641,0.3091141,0.5027269,0.0016573,-0.8072864],[-1.5907333,-0.1073501,3.0469763,0.0,0.5000519,-0.8089726,0.3090491],[0.5702409,4.0301035,-0.0,0.5,0.309017,0.809017,-0.0],[-2.2845371,-2.3937072,2.5177715,0.2557582,-0.0104047,-0.8292078,-0.4968842],[1.0937016,-3.6836013,-0.4268817,0.3672097,0.787428,0.49488,0.0144182],[2.557288,2.3583885,-2.2760625,0.3205835,-0.0,-0.8083159,0.4938133],[1.8997754,0.0975985,-2.8559777,0.3003146,-0.010678,-0.8035111,-0.5138745],[1.5584981,2.5884127,2.3327047,0.309017,0.809017,-0.5,0.0],[-2.8001908,-1.8718786,-2.1869195,0.0384454,0.8330308,0.315697,-0.4526776],[-3.9644817,-0.1061783,-0.8647386,0.8090269,0.499974,-0.309033,1.98e-05],[0.0338925,1.4991003,4.0080927,0.5000945,0.5006061,-0.4999264,-0.4993722],[0.13284,-1.5447324,-3.8479288,0.0243858,-0.7769441,0.2926716,0.5568721],[0.1150628,-1.5833768,3.958887,5.19e-05,-0.5000099,0.8090009,-0.309043],[4.0301035,-0.0,-1.5393626,0.5,0.5,0.5,-0.5],[-0.8286523,-3.3932751,0.9001355,0.3530523,0.5159243,-0.0455749,-0.7791657],[2.3638188,2.6961053,0.2123861,0.0,-0.809017,-0.309017,0.5],[-0.4343847,1.5213251,1.1591552,0.5228849,0.413853,-0.538721,0.5148755],[1.3221769,0.0382694,2.3351801,0.794697,-0.1146225,-0.5415738,-0.2490305],[3.1668649,-1.3898382,2.0344378,0.4958359,0.5017426,0.4834243,0.5183647],[-1.1822898,3.0178772,-1.6378165,0.0,-0.309017,0.5,0.809017],[-1.7935806,3.6187701,0.6024129,0.5000321,0.3089972,-0.8090047,2.45e-05],[-3.708705,-0.5199543,1.7379371,0.4999773,-0.5000472,0.4999924,0.4999831],[-1.2615978,0.2586631,-3.1254572,0.0646232,-0.785787,-0.3282695,0.520194],[-2.594982,-2.1372004,0.1850141,0.0005223,0.756856,0.3228193,0.5682925],[-0.9278645,-2.9680476,-1.577332,0.0774139,-0.489393,0.8013565,-0.3351555],[0.5000184,-1.1600353,-1.2111186,0.3041987,0.0872763,-0.8740783,0.3685554],[1.3948108,-2.7465753,1.863329,0.2484644,-0.8197628,-0.5155329,-0.0219132],[0.5069985,1.4451476,-0.9500165,0.7479828,-0.5667576,-0.3452458,-0.0106249],[-1.5507875,0.0760635,-0.7910985,0.5339687,0.4752941,-0.6581237,0.2363179],[-0.4204316,-0.9788184,1.0393441,0.3720905,0.0070051,0.4748834,0.7974869],[2.2162328,0.2565443,0.0663974,0.5023895,0.2402762,-0.8253623,0.0930014]]},{"n":38,"s":"4.12050+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.1205008650878,"st":4.120500635173,"cf":null,"den":0.5432,"vlb":3.36198,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n38.json","ok":true,"ver":true,"cert":["(1) containment, exact, 9120 vertex/face tests: ok;  min wall gap ~ 1.000000030036e-07","(2) separation, exact, 703 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001139e-07"],"p":[[-0.0628803,0.9495152,-4.0459264,0.0088684,-0.8117135,0.304566,-0.4982791],[3.6581392,-0.0375344,1.8239342,0.8068804,0.3055922,-0.004221,-0.5055092],[-2.8663027,1.7284113,-0.3278646,0.4886667,0.2528069,-0.8313032,-0.0789211],[3.3008453,-1.2684468,-2.0447539,0.309017,-0.5,0.0,-0.809017],[-2.3369329,2.4528793,-2.6404846,0.309017,-0.0,0.809017,0.5],[-2.0274059,3.0904931,1.4021953,0.7582054,-0.2699113,0.0387845,-0.5922569],[-1.7723161,-0.4944092,2.989437,0.0,0.5,-0.809017,0.309017],[1.7833696,3.6449216,-0.7117196,0.520345,0.5046322,0.4949211,-0.4792082],[-2.4316533,-2.6748291,2.2813623,0.309017,-0.0,-0.809017,-0.5],[1.8460366,-3.1401213,-1.5285038,0.4901868,0.8223889,0.0473276,0.2848746],[2.6562176,2.0605898,-2.2776247,0.4811713,-0.4156361,-0.5713025,0.5189742],[1.3634784,0.172676,-2.2963461,0.1289194,-0.4295064,-0.8118995,-0.3737957],[1.7749046,2.2382036,2.9878372,0.309017,0.809017,-0.5,-0.0],[-2.698066,-2.1753587,-1.3500003,0.8088703,0.3297084,0.0480002,-0.4844761],[-3.9893188,-0.019017,-1.6039645,0.8357087,0.2963117,-0.003392,0.4623622],[0.7957508,-1.8694325,-3.5702685,0.307598,-0.8107905,0.4977907,0.014377],[0.2405874,-1.6521466,3.9360974,0.5,-0.309017,0.809017,-0.0],[2.8394191,0.3530901,-0.4323875,0.4994828,0.4978172,0.5021778,-0.5005122],[-1.6253399,-3.9363909,0.1328196,0.3043859,0.493291,0.0441822,-0.8136714],[2.7959873,2.0853242,1.0008669,0.0,0.809017,0.309017,-0.5],[0.3559041,3.4339169,1.0099826,0.8110226,0.309548,-0.034263,0.4952255],[1.1721449,-0.0307476,2.206221,0.7770646,-0.067644,-0.4874365,-0.3924291],[2.2934709,-2.1904356,2.5756276,0.3424092,0.5114077,-0.0507119,0.7865408],[0.3039999,2.5815178,-2.4323431,0.0,0.3211954,-0.4978742,-0.8055773],[-1.150005,3.5166467,-0.7216579,0.4919104,0.2720591,-0.8270339,-0.0047832],[-3.466143,1.0009895,1.9425944,0.5,-0.5,0.5,0.5],[-1.4189179,-1.2305386,-3.207849,0.0,0.8211737,-0.2609676,-0.5075132],[-3.4244635,-0.9589847,0.8425478,0.0195231,-0.827378,-0.3223912,-0.4594871],[-0.6159664,-2.9439787,-1.8107907,0.0185497,0.5352029,-0.7970617,0.2791171],[0.6358844,-1.0481121,-0.4786526,0.140338,-0.5294324,-0.7271974,-0.4137517],[1.4588672,-3.5848818,0.7671325,0.2751358,0.820811,0.4993627,-0.0347329],[0.7877127,1.3403493,-0.2066895,0.1843877,-0.9749947,0.0205157,-0.1223342],[-1.285633,-0.1920074,0.3182968,0.13427,-0.0025249,-0.9877574,-0.0793753],[-0.1804251,-2.0813246,1.5219887,0.3236152,-0.4757752,-0.0182752,0.8176657],[-0.5686771,1.3876152,1.7936652,0.112095,-0.0294925,-0.0516273,0.9919171],[-0.9218163,0.5598982,-1.807742,0.0510195,0.6289559,-0.7429415,0.2232696],[2.9902942,-1.7706151,0.3876845,0.506781,0.8063917,0.0053419,0.3047572],[-0.0,0.8739913,4.0847885,0.0,-0.309017,-0.5,-0.809017]]},{"n":39,"s":"4.14221+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.142216504426,"st":4.142216273526,"cf":null,"den":0.5487,"vlb":3.39121,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n39.json","ok":true,"ver":true,"cert":["(1) containment, exact, 9360 vertex/face tests: ok;  min wall gap ~ 1.000000802729e-07","(2) separation, exact, 741 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000011686e-07"],"p":[[0.4776598,1.7945931,-3.6775209,0.0295101,0.8163912,-0.3003758,0.4923505],[3.8384138,-0.1329243,1.0474995,0.7231985,0.3630911,0.0,-0.5874937],[-2.7290821,2.2395736,-0.6238739,0.3109274,-0.0023652,-0.8101914,-0.4968988],[2.8041976,-2.1180341,-1.3306411,0.309017,-0.5,0.0,-0.809017],[-1.7075971,2.4977984,-2.6137985,0.3074646,0.0031007,0.8099698,0.4994045],[-1.2385603,1.6871576,3.3477423,0.809017,-0.0,0.5,-0.309017],[1.6225736,-1.2597013,0.5577926,0.5252853,0.4269902,-0.6842812,0.2711346],[-1.7796574,-0.476537,2.6003197,0.2914989,-0.0036047,0.8045775,-0.5173687],[1.613031,3.6972121,-0.3141298,0.5024147,0.3138052,0.7885857,0.1650404],[2.4801416,2.5740658,-2.3740114,0.3208375,0.0101474,-0.7939785,0.516293],[2.1264814,0.2275029,-2.7908638,0.3110552,0.0025238,0.8102696,0.4966905],[1.1740424,2.0195525,3.3876166,0.309017,0.809017,-0.5,-0.0],[-2.7261837,-1.9846724,-0.9668372,0.8057079,0.3128201,-0.0051439,-0.5029432],[-4.0866501,0.0429825,-1.1972033,0.799983,0.322768,-0.027833,0.5050479],[0.1238772,-0.2949973,4.0366544,0.3298638,0.7786664,-0.5337308,-0.0],[1.535214,-2.1575078,-3.1644002,0.309017,-0.809017,0.5,-0.0],[0.0259852,-2.2447373,2.9261363,0.024596,-0.0215153,-0.9993061,0.0178714],[4.1132147,0.0,-1.4006983,0.5,0.5,0.5,-0.5],[-1.5241781,-3.9791921,0.0275662,0.3252718,0.520641,0.083968,-0.784908],[2.7347938,2.2303318,1.7341799,0.0,-0.809017,-0.309017,0.5],[2.2813885,-0.175513,2.703239,0.0,-0.5,-0.809017,0.309017],[-0.9816472,3.7934291,-0.4994125,0.0020773,0.2985323,-0.496095,-0.8153305],[-1.9391831,3.1764586,1.5157032,0.5092034,-0.3032732,-0.8054113,0.0070652],[-3.3475446,1.2388802,2.0359101,0.0026162,0.3068966,-0.5034185,-0.8076989],[-1.5861055,-2.3336069,-2.8794658,0.0031821,-0.8105932,0.3115857,0.4958254],[-3.6130887,-0.8075085,1.1069882,0.0013963,0.8087872,0.310041,0.4997358],[0.2208999,-0.738451,-1.5399405,0.0915125,0.2337799,0.7838635,0.5679176],[1.6705506,-3.8861579,0.302524,0.2998784,-0.0082254,-0.7983119,-0.5222102],[-1.5634506,0.0696771,-0.2878403,0.3573403,0.0409058,-0.9330765,-0.0016762],[-0.6239459,-1.7441621,0.604248,0.1270384,-0.5040265,-0.2503668,0.8167833],[0.1918045,0.4511528,1.6302981,0.7815334,-0.2890961,0.2850682,-0.473672],[-1.9811998,0.0728313,-2.6781768,0.2113076,-0.8174323,0.4854242,-0.2269734],[2.1468977,1.1083171,-0.3665335,0.1551166,-0.0252357,0.9451071,-0.2864867],[-0.0428333,-0.5159491,-4.0672157,0.2650627,-0.5011229,-0.0102839,-0.8237183],[0.2062541,1.7981189,-1.2740006,0.5668631,-0.68284,0.26047,0.3801988],[2.4951806,-2.6180341,2.419253,0.0,-0.809017,0.309017,-0.5],[0.3512006,2.6547313,1.2459796,0.8586714,-0.351983,-0.3696911,-0.0460427],[0.2164458,-3.114425,-1.3713981,0.0254683,0.3392719,-0.4243941,-0.8391279],[-2.3852238,-2.7942357,2.1296537,0.0015197,0.4991405,0.8098751,0.3081539]]},{"n":40,"s":"4.17626+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.1762660466801,"st":4.176265814256,"cf":null,"den":0.5492,"vlb":3.41995,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodindod/dodindod_n40.json","ok":true,"ver":true,"cert":["(1) containment, exact, 9600 vertex/face tests: ok;  min wall gap ~ 1.000000183888e-07","(2) separation, exact, 780 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005025e-07"],"p":[[0.0,1.588133,-4.1577861,0.0,-0.809017,0.309017,-0.5],[4.1079849,0.0193756,0.670401,0.8281841,0.288989,-0.0199825,-0.4797886],[-2.6393949,2.4568086,-0.5529536,0.309017,0.0,-0.809017,-0.5],[3.2071004,-1.5382418,-1.1425543,0.0,-0.809017,-0.309017,-0.5],[1.8150144,-1.2862347,0.6542503,0.4572033,0.4876982,-0.3369792,0.6629937],[1.8305224,3.5853221,-0.6514221,0.4911014,0.3407104,0.7956753,0.0981665],[-2.5422499,-2.6139925,2.4979105,0.309017,-0.0,-0.809017,-0.5],[1.8980833,-3.6562759,-0.8114605,0.5,0.809017,-0.0,0.309017],[2.2191802,2.3508219,-2.5632002,0.4978403,-0.0685794,-0.4495468,0.7384846],[1.6597061,0.0090856,-2.8801237,0.1232888,0.0438037,0.9707526,0.2012969],[1.4232392,2.113856,3.1509277,0.2765392,0.7696935,-0.5750131,-0.0213972],[-2.6712366,-1.8215526,-0.5469383,0.7879002,0.2926365,-0.0118557,-0.5416979],[-4.0786736,0.0173877,-0.994006,0.8189868,0.3278252,-0.0488406,0.4684078],[0.524952,-0.031668,3.8333479,0.3547874,0.7379587,-0.5740582,0.0],[0.001631,-2.1048118,3.1137317,0.0233501,-0.0826507,-0.9951268,0.0484391],[3.7555814,0.6507809,-1.8367092,0.5,0.5,0.5,-0.5],[-1.7107644,-3.9593644,0.3210531,0.309017,0.5,-0.0,-0.809017],[2.860859,2.0984721,1.4315435,0.0314582,0.8181847,0.2930765,-0.49365],[2.7273096,0.0817086,2.4722161,0.0,-0.527848,-0.7841886,0.326228],[-0.8557042,3.8068047,-0.5678998,0.0,0.309017,-0.5,-0.809017],[-1.7276381,3.2180514,1.5205227,0.5099295,-0.3028152,-0.805119,0.0076257],[-3.2515202,1.4663691,2.1391881,0.0028168,0.3067337,-0.5036801,-0.807597],[-2.1705513,-2.3338078,-2.8163116,0.0,-0.7977775,0.3470579,0.4930536],[-3.7339374,-0.6858017,1.3817207,0.0,0.809017,0.309017,0.5],[0.0821981,-0.534444,-1.3876927,0.4024386,-0.0383781,0.67047,0.6221255],[0.7331785,-3.4862163,1.0866228,0.309017,0.0,-0.809017,-0.5],[-1.8088048,0.3126663,0.1534936,0.304771,-0.039197,-0.951612,-0.0035705],[-0.8016326,-1.7335247,0.955637,0.309017,-0.5,-0.0,0.809017],[0.2303571,0.4601878,1.3986713,0.6789292,-0.4800481,0.3226728,-0.4522071],[-2.0860582,0.0301547,-2.3398954,0.3065886,-0.8236285,0.4745041,-0.0498532],[1.832154,0.9624191,-0.4317186,0.0526907,-0.1002498,0.9859043,-0.1231519],[-0.3997874,-0.8471785,-3.8583066,0.2967511,-0.4738575,0.0101869,-0.829032],[0.0191274,1.8581503,-1.725462,0.5686672,-0.6086893,0.3455954,0.4320634],[2.5654333,-2.5680413,2.5722611,0.0,-0.809017,0.309017,-0.5],[0.6502962,2.8855919,1.1289879,0.841333,-0.414234,-0.3466056,-0.0208208],[-1.7744689,-0.2862603,2.8848774,0.5560323,0.385636,-0.5422429,0.4980819],[-2.1180341,2.39715,-2.8487691,0.5,0.5,0.5,0.5],[-0.1810425,-2.7774258,-1.2563564,0.0035579,0.3793965,0.6210581,-0.6858079],[-0.9221596,1.8613874,3.55412,0.8384798,0.3253372,-0.0410006,0.4352313],[1.3927923,-2.2123618,-2.8018066,0.3459601,0.5030834,-0.6692515,0.4234631]]}],"hasref":false,"family":"platonic","group":"platonic","title":"Dodecahedra in a dodecahedron","unit":"edge"},{"id":"cubincub","piece":"cube","container":"cube","rows":[{"n":2,"s":"2.00000+","ref":2,"refsrc":"trivial (2\u00d72\u00d72 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":2.0000003000001,"st":2.0,"cf":"2","den":0.25,"vlb":1.25992,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n02.json","ok":true,"ver":true,"cert":["(1) containment, exact, 96 vertex/face tests: ok;  min wall gap ~ 1.000000496678e-07","(2) separation, exact, 1 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001516e-07"],"p":[[-0.4829615,-0.4995759,-0.5000001,0.9999999,0.0,0.0,0.0004244],[0.4964184,0.48006,0.5000001,0.4981995,0.4981995,-0.5017941,-0.5017941]]},{"n":3,"s":"2.00000+","ref":2,"refsrc":"trivial (2\u00d72\u00d72 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":2.0000003000001,"st":2.0,"cf":"2","den":0.375,"vlb":1.44225,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n03.json","ok":true,"ver":true,"cert":["(1) containment, exact, 144 vertex/face tests: ok;  min wall gap ~ 1.000000493654e-07","(2) separation, exact, 3 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999996050e-08"],"p":[[-0.498923,0.5,0.5000001,0.5,0.5,-0.5,0.5],[-0.498923,-0.5000001,-0.5000001,0.5,0.5,-0.5,-0.5],[0.5000001,-0.5000001,0.5000001,0.7071068,0.0,0.0,0.7071068]]},{"n":4,"s":"2.00000+","ref":2,"refsrc":"trivial (2\u00d72\u00d72 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":2.0000003000001,"st":2.0,"cf":"2","den":0.5,"vlb":1.5874,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n04.json","ok":true,"ver":true,"cert":["(1) containment, exact, 192 vertex/face tests: ok;  min wall gap ~ 1.000000490747e-07","(2) separation, exact, 6 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999989185e-08"],"p":[[-0.5,0.5000001,0.5000001,0.5,0.5,-0.5,0.5],[-0.5000001,-0.5,-0.5000001,0.5,0.5,-0.5,-0.5],[0.5000001,-0.5,-0.5000001,0.5,-0.5,-0.5,0.5],[0.498923,-0.5,0.5000001,0.7071068,0.0,0.0,0.7071068]]},{"n":5,"s":"2.00000+","ref":2,"refsrc":"trivial (2\u00d72\u00d72 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":2.0000003000001,"st":2.0,"cf":"2","den":0.625,"vlb":1.70998,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n05.json","ok":true,"ver":true,"cert":["(1) containment, exact, 240 vertex/face tests: ok;  min wall gap ~ 1.000000491302e-07","(2) separation, exact, 10 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999996050e-08"],"p":[[-0.5000001,0.5000001,-0.5000001,0.5,-0.5,0.5,-0.5],[-0.5,0.5,0.5000001,0.5,0.5,-0.5,0.5],[-0.5000001,-0.5000001,-0.5000001,0.5,0.5,-0.5,-0.5],[0.5000001,-0.5000001,-0.5000001,0.5,-0.5,-0.5,0.5],[0.498923,-0.5000001,0.5000001,0.7071068,0.0,0.0,0.7071068]]},{"n":6,"s":"2.00000+","ref":2,"refsrc":"trivial (2\u00d72\u00d72 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":2.0000003000001,"st":2.0,"cf":"2","den":0.75,"vlb":1.81712,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n06.json","ok":true,"ver":true,"cert":["(1) containment, exact, 288 vertex/face tests: ok;  min wall gap ~ 1.000000484641e-07","(2) separation, exact, 15 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000004625e-07"],"p":[[0.5000001,0.5000001,0.498789,0.7071068,-0.7071068,0.0,0.0],[-0.5000001,0.5000001,-0.5000001,0.5,-0.5,0.5,-0.5],[-0.5000001,0.5000001,0.5000001,0.5,0.5,-0.5,0.5],[-0.5000001,-0.5000001,-0.5000001,0.5,0.5,-0.5,-0.5],[0.5000001,-0.5000001,-0.5000001,0.5,-0.5,-0.5,0.5],[0.498923,-0.5000001,0.5000001,0.7071068,0.0,0.0,0.7071068]]},{"n":7,"s":"2.00000+","ref":2,"refsrc":"trivial (2\u00d72\u00d72 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":2.0000003000001,"st":2.0,"cf":"2","den":0.875,"vlb":1.91293,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n07.json","ok":true,"ver":true,"cert":["(1) containment, exact, 336 vertex/face tests: ok;  min wall gap ~ 1.000000485775e-07","(2) separation, exact, 21 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[-0.5000001,0.5000001,0.5000001,0.0,0.7071068,0.0,0.7071068],[-0.5000001,-0.5000001,-0.5000001,0.5,0.5,-0.5,-0.5],[0.5000001,0.5000001,-0.5000001,0.7071068,-0.0,0.7071068,0.0],[0.5000001,-0.5000001,-0.5000001,0.5,-0.5,-0.5,-0.5],[0.5000001,-0.5000001,0.5000001,0.5,0.5,0.5,0.5],[0.5000001,0.5000001,0.5000001,0.7071068,-0.7071068,-0.0,0.0],[-0.5000001,-0.5000001,0.5000001,0.0,0.0,0.7071068,-0.7071068]]},{"n":8,"s":"2.00000+","ref":2,"refsrc":"trivial (2\u00d72\u00d72 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":2.0000003000001,"st":2.0,"cf":"2","den":1.0,"vlb":2.0,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n08.json","ok":true,"ver":true,"cert":["(1) containment, exact, 384 vertex/face tests: ok;  min wall gap ~ 1.000000487357e-07","(2) separation, exact, 28 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[-0.5000001,0.5000001,-0.5000001,0.5,-0.5,-0.5,-0.5],[-0.5000001,0.5000001,0.5000001,0.0,0.7071068,0.0,0.7071068],[-0.5000001,-0.5000001,-0.5000001,0.5,0.5,-0.5,-0.5],[0.5000001,0.5000001,-0.5000001,0.7071068,-0.0,0.7071068,0.0],[0.5000001,-0.5000001,-0.5000001,0.5,-0.5,-0.5,-0.5],[0.5000001,-0.5000001,0.5000001,0.5,0.5,0.5,0.5],[0.5000001,0.5000001,0.5000001,0.7071068,-0.7071068,-0.0,0.0],[-0.5000001,-0.5000001,0.5000001,0.0,0.0,0.7071068,-0.7071068]]},{"n":9,"s":"2.70710+","ref":2.7071067811865475,"refsrc":"E. Friedman, 1998 (Friedman's Packing Center), s = 2 + 1/\u221a2","refcode":"F","cmp":"equal","sf":2.707107122608,"st":2.707106781187,"cf":"(4 + \u221a2)/2","den":0.4537,"vlb":2.08008,"move":"import","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n09.json","ok":true,"ver":true,"cert":["(1) containment, exact, 432 vertex/face tests: ok;  min wall gap ~ 1.000000471874e-07","(2) separation, exact, 36 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999972532e-08"],"p":[[-0.3291458,0.8535535,-0.8535535,0.7071068,0.7071068,-0.0,-0.0],[-0.7903406,0.0,0.0,0.2705981,0.6532815,0.2705981,0.6532815],[0.7457597,-0.7460015,-0.5942852,0.0451051,-0.6904058,-0.0752605,0.7180817],[0.7231571,0.7177976,0.6901282,0.0465879,0.1033634,0.6816172,0.7228717],[-0.2916576,-0.8535535,-0.8535535,0.5,-0.5,-0.5,0.5],[0.4546717,-0.5311864,0.60825,0.4067476,0.4419015,0.653707,0.4603766],[-0.737557,0.8535535,0.8535535,0.0,-0.7071068,0.7071068,-0.0],[-0.7267955,-0.8535535,0.8535535,0.5,-0.5,0.5,-0.5],[0.7514862,0.3658488,-0.5945551,0.5599244,-0.5064257,0.4114547,0.5106102]]},{"n":10,"s":"2.70710+","ref":2.7071067811865475,"refsrc":"E. Friedman, 1998 (Friedman's Packing Center), s = 2 + 1/\u221a2","refcode":"F","cmp":"equal","sf":2.707107122608,"st":2.707106781187,"cf":"(4 + \u221a2)/2","den":0.5041,"vlb":2.15443,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n10.json","ok":true,"ver":true,"cert":["(1) containment, exact, 480 vertex/face tests: ok;  min wall gap ~ 1.000000466322e-07","(2) separation, exact, 45 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-0.3844856,0.8535535,-0.8535535,0.7071068,0.7071068,-0.0,0.0],[-0.8213576,-0.0,-0.0,0.2705981,0.6532815,0.2705981,0.6532815],[0.8209278,-0.8535535,-0.8535535,0.0,-0.7071068,-0.0,0.7071068],[0.8061136,0.8535535,0.8535535,0.0,-0.0,-0.7071068,-0.7071068],[-0.2915925,-0.8535535,-0.8535535,0.5,-0.5,-0.5,0.5],[0.8158592,-0.8535535,0.8535535,0.5,0.5,0.5,0.5],[-0.8131433,0.8535535,0.8535535,0.0,0.7071068,-0.7071068,-0.0],[-0.6770569,-0.8535535,0.8535535,0.5,-0.5,0.5,-0.5],[0.8535535,0.8535535,-0.8535535,0.5,-0.5,0.5,0.5],[0.2124122,-0.0,0.0,0.0,0.0,-0.9238795,0.3826834]]},{"n":11,"s":"2.88171+","ref":2.8829529104956513,"refsrc":"H. Lin, July 2026 (Hyra-results; Friedman's Packing Center)","refcode":"L","cmp":"better","sf":2.8817115130006,"st":2.881711124829,"cf":null,"den":0.4597,"vlb":2.22398,"move":"hop","derived":null,"who":"Alejandro Zarzuelo (search started from the published packing of H. Lin, July 2026 (Tencent-Hunyuan/Hyra-results))","issue":null,"file":"records/cubincub/cubincub_n11.json","ok":true,"ver":true,"cert":["(1) containment, exact, 528 vertex/face tests: ok;  min wall gap ~ 1.000000283691e-07","(2) separation, exact, 55 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000029e-07"],"p":[[-0.7417616,-0.9408557,0.9408557,0.5,-0.5,-0.5,0.5],[-0.0591444,0.9408557,0.9408557,1.0,-0.0,-0.0,-0.0],[0.9408557,-0.0591444,0.9408557,0.0,0.7071068,-0.7071068,0.0],[0.9408557,0.9408557,0.9408557,1.0,-0.0,0.0,-0.0],[-0.8866582,-0.8936725,-0.9138839,0.5158699,-0.5086486,0.49881,-0.4757557],[0.1678094,-0.7592798,0.0673858,0.2368959,-0.137997,-0.8309763,-0.4840616],[-0.9408557,0.9408557,-0.7343965,0.7071068,0.0,0.0,0.7071068],[0.0673858,0.1678094,-0.7592798,0.4900104,-0.6851675,0.1747725,0.5097939],[0.9408557,0.9408557,-0.0591444,0.0,1.0,-0.0,0.0],[0.9408557,-0.7432971,-0.9408557,0.5,0.5,0.5,0.5],[-0.7592798,0.0673858,0.1678094,0.7550997,-0.4200783,-0.4398618,0.2447046]]},{"n":12,"s":"2.93151+","ref":2.9315185094797,"refsrc":"Y. Nakajima, Oct 2026 (soft-to-rigid-packing); Friedman's page lists 2.93277 (H. Lin, July 2026)","refcode":"N","cmp":"equal","sf":2.9315149711166,"st":2.931514577965,"cf":null,"den":0.4763,"vlb":2.28943,"move":"fresh","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n12.json","ok":true,"ver":true,"cert":["(1) containment, exact, 576 vertex/face tests: ok;  min wall gap ~ 1.000000452631e-07","(2) separation, exact, 66 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000029e-07"],"p":[[-0.9657574,-0.9657574,0.9657574,0.0,-0.7071068,-0.7071068,-0.0],[-0.8903708,0.8903191,-0.9180897,0.4570545,0.4570745,-0.5395209,-0.5395381],[0.9657574,0.960225,0.9657574,0.5,0.5,0.5,0.5],[-0.133741,-0.9657574,0.0586307,0.3988408,-0.5838887,-0.5838887,0.3988408],[-0.0203526,0.0275228,-0.9657574,0.539529,0.539529,0.4570651,0.4570651],[0.8881777,0.8896777,-0.9512828,0.5389542,-0.455878,0.5405324,0.4577427],[-0.9657574,-0.943739,-0.9657574,0.7071068,0.0,-0.7071068,0.0],[0.7447974,-0.9657574,0.9657551,1.6e-06,0.7071068,0.7071068,1.6e-06],[-0.9657574,0.0342427,0.9657574,0.0,-0.0,-0.7071068,0.7071068],[0.9657574,-0.0184862,0.1219398,0.0,0.0,-0.9765113,-0.2154662],[0.8407886,-0.889863,-0.9299308,2.39e-05,-0.0825326,-0.9965883,-0.0003506],[-0.0725951,0.7611525,0.2213097,0.5665692,0.7058413,0.4230831,0.0422857]]},{"n":13,"s":"2.97661+","ref":2.956,"refsrc":"E. Friedman, 1998 (Friedman's Packing Center), listed as 2.956+","refcode":"F","cmp":"behind","sf":2.9766199877636,"st":2.976619590102,"cf":null,"den":0.4929,"vlb":2.35133,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n13.json","ok":true,"ver":true,"cert":["(1) containment, exact, 624 vertex/face tests: ok;  min wall gap ~ 1.000000227720e-07","(2) separation, exact, 78 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[-0.1932314,-0.9883099,-0.0050638,0.1803054,-0.6837324,-0.6837324,0.1803054],[0.9883099,-0.1932314,-0.0050638,0.610967,0.3559766,0.610967,0.3559766],[0.9545493,-0.9883099,0.9883099,0.7071068,0.0,-0.7071068,0.0],[-0.8067687,-0.9348744,-0.8067687,0.0,0.8640378,-0.0,0.503427],[-0.5823501,0.9882913,-0.9883099,0.0,-0.7071068,-0.0,0.7071068],[0.9883099,0.9623742,0.9883099,0.0,-0.0,0.0,1.0],[0.9883099,0.8253176,-0.9883099,0.5,0.5,0.5,-0.5],[-0.0094832,0.0148108,0.9883099,0.7029614,-0.7029614,0.0764546,-0.0764546],[-0.9802879,0.9832758,0.9760239,0.7016598,0.003599,-0.7124965,-0.003056],[-0.9883099,-0.9506418,0.9883099,0.0,-0.0,0.7071068,-0.7071068],[-0.9856219,0.1396819,-0.0757113,0.7003162,0.1106896,0.1100946,-0.6965517],[0.9422976,-0.8067687,-0.8067687,0.2549903,0.9669436,0.0,-0.0],[0.2374807,0.9883099,-0.0555031,0.6799571,0.6799571,-0.1940577,0.1940577]]},{"n":14,"s":"2.98994+","ref":2.9899494936611664,"refsrc":"E. Friedman, 1998 (Friedman's Packing Center), s = 2 + 7\u221a2/10","refcode":"F","cmp":"equal","sf":2.9899498660706,"st":2.989949493661,"cf":null,"den":0.5238,"vlb":2.41014,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n14.json","ok":true,"ver":true,"cert":["(1) containment, exact, 672 vertex/face tests: ok;  min wall gap ~ 1.000000379606e-07","(2) separation, exact, 91 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003359e-07"],"p":[[-0.2828427,-0.9949748,-0.0,0.270598,-0.6532815,-0.6532815,0.270598],[0.9949748,-0.2828427,0.0,0.6532815,0.2705981,0.6532815,0.2705981],[0.9855291,-0.9949748,0.9949748,0.7071068,-0.0,-0.7071068,0.0],[-0.9949748,-0.9880369,-0.9949748,0.0,1.0,-0.0,-0.0],[-0.9861321,0.9949748,-0.9949748,0.0,-0.7071068,-0.0,0.7071068],[0.9949748,0.9725524,0.9949748,0.0,0.0,-0.0,1.0],[0.9949748,0.9824808,-0.9949748,0.5,0.5,0.5,-0.5],[-0.0,-0.0,0.9949748,0.7053278,-0.7053278,0.0501261,-0.0501261],[-0.9725523,0.9949748,0.9949748,0.7071068,-0.0,-0.7071068,-0.0],[-0.9949748,-0.9762614,0.9949748,0.0,-0.0,-0.7071068,0.7071068],[-0.9949748,0.2828427,-0.0,0.6532815,0.2705981,0.2705981,-0.6532815],[0.9832458,-0.9949748,-0.9949748,0.0,1.0,-0.0,-0.0],[0.2828427,0.9949748,0.0,0.6532815,0.6532815,-0.2705981,0.2705981],[0.0,0.0,-0.9949748,0.755454,-0.0,-0.0,0.6552017]]},{"n":15,"s":"3.00000+","ref":3,"refsrc":"trivial (3\u00d73\u00d73 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":3.0000004000001,"st":3.0,"cf":"3","den":0.5556,"vlb":2.46621,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n15.json","ok":true,"ver":true,"cert":["(1) containment, exact, 720 vertex/face tests: ok;  min wall gap ~ 1.000000497964e-07","(2) separation, exact, 105 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[0.0,0.0,-1.0000001,1.0,0.0,0.0,0.0],[0.0,0.0,0.0,1.0,0.0,0.0,0.0],[0.0,0.0,1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,0.0,1.0,0.0,0.0,0.0],[0.0,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,0.0,1.0,0.0,0.0,0.0],[1.0000001,0.0,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0]]},{"n":16,"s":"3.00000+","ref":3,"refsrc":"trivial (3\u00d73\u00d73 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":3.0000004000001,"st":3.0,"cf":"3","den":0.5926,"vlb":2.51984,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n16.json","ok":true,"ver":true,"cert":["(1) containment, exact, 768 vertex/face tests: ok;  min wall gap ~ 1.000000497964e-07","(2) separation, exact, 120 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[0.0,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[0.0,0.0,-1.0000001,1.0,0.0,0.0,0.0],[0.0,0.0,0.0,1.0,0.0,0.0,0.0],[0.0,0.0,1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,0.0,1.0,0.0,0.0,0.0],[0.0,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,0.0,1.0,0.0,0.0,0.0],[1.0000001,0.0,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0]]},{"n":17,"s":"3.00000+","ref":3,"refsrc":"trivial (3\u00d73\u00d73 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":3.0000004000001,"st":3.0,"cf":"3","den":0.6296,"vlb":2.57128,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n17.json","ok":true,"ver":true,"cert":["(1) containment, exact, 816 vertex/face tests: ok;  min wall gap ~ 1.000000497964e-07","(2) separation, exact, 136 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[-0.0,-1.0000001,0.0,1.0,0.0,0.0,0.0],[-0.0,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[-0.0,0.0,-1.0000001,1.0,0.0,0.0,0.0],[-0.0,0.0,0.0,1.0,0.0,0.0,0.0],[-0.0,0.0,1.0000001,1.0,0.0,0.0,0.0],[-0.0,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-0.0,1.0000001,0.0,1.0,0.0,0.0,0.0],[-0.0,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,0.0,1.0,0.0,0.0,0.0],[1.0000001,0.0,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0]]},{"n":18,"s":"3.00000+","ref":3,"refsrc":"trivial (3\u00d73\u00d73 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":3.0000004000001,"st":3.0,"cf":"3","den":0.6667,"vlb":2.62074,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n18.json","ok":true,"ver":true,"cert":["(1) containment, exact, 864 vertex/face tests: ok;  min wall gap ~ 1.000000500184e-07","(2) separation, exact, 153 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-0.0,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-0.0,-1.0000001,0.0,1.0,0.0,0.0,0.0],[-0.0,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[-0.0,0.0,-1.0000001,1.0,0.0,0.0,0.0],[-0.0,0.0,0.0,1.0,0.0,0.0,0.0],[-0.0,0.0,1.0000001,1.0,0.0,0.0,0.0],[-0.0,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-0.0,1.0000001,0.0,1.0,0.0,0.0,0.0],[-0.0,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,0.0,1.0,0.0,0.0,0.0],[1.0000001,0.0,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0]]},{"n":19,"s":"3.00000+","ref":3,"refsrc":"trivial (3\u00d73\u00d73 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":3.0000004000001,"st":3.0,"cf":"3","den":0.7037,"vlb":2.6684,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n19.json","ok":true,"ver":true,"cert":["(1) containment, exact, 912 vertex/face tests: ok;  min wall gap ~ 1.000000497964e-07","(2) separation, exact, 171 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[0.0,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[0.0,-1.0000001,0.0,1.0,0.0,0.0,0.0],[0.0,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[0.0,-0.0,-1.0000001,1.0,0.0,0.0,0.0],[0.0,-0.0,0.0,1.0,0.0,0.0,0.0],[0.0,-0.0,1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,0.0,1.0,0.0,0.0,0.0],[0.0,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-0.0,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-0.0,0.0,1.0,0.0,0.0,0.0],[1.0000001,-0.0,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0]]},{"n":20,"s":"3.00000+","ref":3,"refsrc":"trivial (3\u00d73\u00d73 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":3.0000004000001,"st":3.0,"cf":"3","den":0.7407,"vlb":2.71442,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n20.json","ok":true,"ver":true,"cert":["(1) containment, exact, 960 vertex/face tests: ok;  min wall gap ~ 1.000000497964e-07","(2) separation, exact, 190 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[-1.0000001,1.0000001,-0.0,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[0.0,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[0.0,-1.0000001,-0.0,1.0,0.0,0.0,0.0],[0.0,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[0.0,-0.0,-1.0000001,1.0,0.0,0.0,0.0],[0.0,-0.0,-0.0,1.0,0.0,0.0,0.0],[0.0,-0.0,1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,-0.0,1.0,0.0,0.0,0.0],[0.0,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-0.0,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-0.0,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-0.0,-0.0,1.0,0.0,0.0,0.0],[1.0000001,-0.0,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-0.0,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0]]},{"n":21,"s":"3.00000+","ref":3,"refsrc":"trivial (3\u00d73\u00d73 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":3.0000004000001,"st":3.0,"cf":"3","den":0.7778,"vlb":2.75892,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n21.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1008 vertex/face tests: ok;  min wall gap ~ 1.000000495743e-07","(2) separation, exact, 210 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,0.0,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[-0.0,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-0.0,-1.0000001,0.0,1.0,0.0,0.0,0.0],[-0.0,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[-0.0,0.0,-1.0000001,1.0,0.0,0.0,0.0],[-0.0,0.0,0.0,1.0,0.0,0.0,0.0],[-0.0,0.0,1.0000001,1.0,0.0,0.0,0.0],[-0.0,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-0.0,1.0000001,0.0,1.0,0.0,0.0,0.0],[-0.0,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,0.0,1.0,0.0,0.0,0.0],[1.0000001,0.0,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0]]},{"n":22,"s":"3.00000+","ref":3,"refsrc":"trivial (3\u00d73\u00d73 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":3.0000004000001,"st":3.0,"cf":"3","den":0.8148,"vlb":2.80204,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n22.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1056 vertex/face tests: ok;  min wall gap ~ 1.000000497964e-07","(2) separation, exact, 231 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[-1.0000001,-0.0,1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,-0.0,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[0.0,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[0.0,-1.0000001,-0.0,1.0,0.0,0.0,0.0],[0.0,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[0.0,-0.0,-1.0000001,1.0,0.0,0.0,0.0],[0.0,-0.0,-0.0,1.0,0.0,0.0,0.0],[0.0,-0.0,1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,-0.0,1.0,0.0,0.0,0.0],[0.0,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-0.0,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-0.0,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-0.0,-0.0,1.0,0.0,0.0,0.0],[1.0000001,-0.0,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-0.0,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0]]},{"n":23,"s":"3.00000+","ref":3,"refsrc":"trivial (3\u00d73\u00d73 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":3.0000004000001,"st":3.0,"cf":"3","den":0.8519,"vlb":2.84387,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n23.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1104 vertex/face tests: ok;  min wall gap ~ 1.000000497964e-07","(2) separation, exact, 253 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-1.0000001,0.0,0.0,1.0,0.0,0.0,0.0],[-1.0000001,0.0,1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,0.0,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[0.0,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[0.0,-1.0000001,0.0,1.0,0.0,0.0,0.0],[0.0,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[0.0,0.0,-1.0000001,1.0,0.0,0.0,0.0],[0.0,0.0,0.0,1.0,0.0,0.0,0.0],[0.0,0.0,1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,0.0,1.0,0.0,0.0,0.0],[0.0,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,0.0,1.0,0.0,0.0,0.0],[1.0000001,0.0,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0]]},{"n":24,"s":"3.00000+","ref":3,"refsrc":"trivial (3\u00d73\u00d73 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":3.0000004000001,"st":3.0,"cf":"3","den":0.8889,"vlb":2.8845,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n24.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1152 vertex/face tests: ok;  min wall gap ~ 1.000000497964e-07","(2) separation, exact, 276 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[-1.0000001,0.0,-1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,0.0,0.0,1.0,0.0,0.0,0.0],[-1.0000001,0.0,1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,0.0,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[0.0,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[0.0,-1.0000001,0.0,1.0,0.0,0.0,0.0],[0.0,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[0.0,0.0,-1.0000001,1.0,0.0,0.0,0.0],[0.0,0.0,0.0,1.0,0.0,0.0,0.0],[0.0,0.0,1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,0.0,1.0,0.0,0.0,0.0],[0.0,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,0.0,1.0,0.0,0.0,0.0],[1.0000001,0.0,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0]]},{"n":25,"s":"3.00000+","ref":3,"refsrc":"trivial (3\u00d73\u00d73 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":3.0000004000001,"st":3.0,"cf":"3","den":0.9259,"vlb":2.92402,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n25.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1200 vertex/face tests: ok;  min wall gap ~ 1.000000497964e-07","(2) separation, exact, 300 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[-1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,-0.0,-1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,-0.0,0.0,1.0,0.0,0.0,0.0],[-1.0000001,-0.0,1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,0.0,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[-0.0,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-0.0,-1.0000001,0.0,1.0,0.0,0.0,0.0],[-0.0,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[-0.0,-0.0,-1.0000001,1.0,0.0,0.0,0.0],[-0.0,-0.0,0.0,1.0,0.0,0.0,0.0],[-0.0,-0.0,1.0000001,1.0,0.0,0.0,0.0],[-0.0,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-0.0,1.0000001,0.0,1.0,0.0,0.0,0.0],[-0.0,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-0.0,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-0.0,0.0,1.0,0.0,0.0,0.0],[1.0000001,-0.0,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0]]},{"n":26,"s":"3.00000+","ref":3,"refsrc":"trivial (3\u00d73\u00d73 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":3.0000004000001,"st":3.0,"cf":"3","den":0.963,"vlb":2.9625,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n26.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1248 vertex/face tests: ok;  min wall gap ~ 1.000000500184e-07","(2) separation, exact, 325 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-1.0000001,-1.0000001,-0.0,1.0,0.0,0.0,0.0],[-1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,-0.0,-1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,-0.0,-0.0,1.0,0.0,0.0,0.0],[-1.0000001,-0.0,1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,-0.0,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[-0.0,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-0.0,-1.0000001,-0.0,1.0,0.0,0.0,0.0],[-0.0,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[-0.0,-0.0,-1.0000001,1.0,0.0,0.0,0.0],[-0.0,-0.0,-0.0,1.0,0.0,0.0,0.0],[-0.0,-0.0,1.0000001,1.0,0.0,0.0,0.0],[-0.0,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-0.0,1.0000001,-0.0,1.0,0.0,0.0,0.0],[-0.0,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-0.0,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-0.0,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-0.0,-0.0,1.0,0.0,0.0,0.0],[1.0000001,-0.0,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-0.0,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0]]},{"n":27,"s":"3.00000+","ref":3,"refsrc":"trivial (3\u00d73\u00d73 grid), Friedman's Packing Center","refcode":"T","cmp":"equal","sf":3.0000004000001,"st":3.0,"cf":"3","den":1.0,"vlb":3.0,"move":"construction","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n27.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1296 vertex/face tests: ok;  min wall gap ~ 1.000000500184e-07","(2) separation, exact, 351 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-1.0000001,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,-1.0000001,0.0,1.0,0.0,0.0,0.0],[-1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,0.0,-1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,0.0,0.0,1.0,0.0,0.0,0.0],[-1.0000001,0.0,1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,0.0,1.0,0.0,0.0,0.0],[-1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[0.0,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[0.0,-1.0000001,0.0,1.0,0.0,0.0,0.0],[0.0,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[0.0,0.0,-1.0000001,1.0,0.0,0.0,0.0],[0.0,0.0,0.0,1.0,0.0,0.0,0.0],[0.0,0.0,1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[0.0,1.0000001,0.0,1.0,0.0,0.0,0.0],[0.0,1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,-1.0000001,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,0.0,0.0,1.0,0.0,0.0,0.0],[1.0000001,0.0,1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,-1.0000001,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,0.0,1.0,0.0,0.0,0.0],[1.0000001,1.0000001,1.0000001,1.0,0.0,0.0,0.0]]},{"n":28,"s":"3.70710+","ref":3.7071067811865475,"refsrc":"E. Friedman, 1998 (Friedman's Packing Center), s = 3 + 1/\u221a2","refcode":"F","cmp":"equal","sf":3.7071072518948,"st":3.707106781189,"cf":"(6 + \u221a2)/2","den":0.5496,"vlb":3.03659,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n28.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1344 vertex/face tests: ok;  min wall gap ~ 1.000000221195e-07","(2) separation, exact, 378 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999998584753e-08"],"p":[[-1.1650051,-1.309074,-1.0704622,0.998338,0.0270178,-0.0506305,0.0052763],[-1.0841318,-1.3535535,0.0375682,0.9990582,-0.0,0.0433913,0.0],[-1.2182015,-1.2696481,1.2514825,0.9947015,-0.0268809,0.0797087,-0.0591003],[-1.202816,0.0486189,-0.9345337,0.9931668,0.0032632,0.1076596,-0.0449285],[-1.3535535,-0.3535534,0.165198,1.0,-0.0,0.0,0.0],[-1.1772222,-0.0447118,1.2959519,0.9994591,0.0201445,0.0252364,0.0062248],[-1.0661289,1.1558543,-1.1840976,0.9950352,-0.0090702,0.098969,0.0052647],[-1.3535535,1.3535535,-0.0458007,1.0,0.0,-0.0,-0.0],[-1.2071411,1.1492074,1.2057738,0.9908155,-0.0823049,0.0162966,0.1060419],[-0.0077859,-1.1862047,-0.992028,0.9992444,-0.0009128,-0.0134511,-0.0364542],[0.0949565,-1.3535535,0.1183237,0.9998073,-0.0,0.019631,0.0],[-0.1007393,-1.2098495,1.2465192,0.9956103,-0.0466006,0.0397483,-0.070772],[-0.0588944,-0.1168603,-0.9452467,0.9987416,0.0419583,-0.0018181,-0.0274113],[0.3535534,-0.3535534,0.1610624,1.0,-0.0,0.0,0.0],[-0.0434127,-0.0596651,1.2600138,0.9979885,0.0162709,0.0535564,-0.0297632],[0.0401801,1.1753854,-1.0975369,0.9934176,0.1016227,0.0440638,0.0292008],[0.3535534,1.3535535,0.0870555,1.0,0.0,0.0,-0.0],[-0.0308578,1.1571457,1.2393734,0.9985937,0.0330453,-0.0394471,0.0127472],[1.2084942,-1.1773957,-1.1000754,0.9915802,0.1041747,-0.0572612,0.0513565],[1.2767148,-1.3535535,0.0918192,0.9988397,-0.0,-0.0481588,-0.0],[1.1939912,-1.2106461,1.2013615,0.9929489,0.0896501,-0.068701,0.0359925],[1.0876068,-0.0502861,-0.897651,0.9888102,0.0550649,-0.0087002,0.1383711],[1.3535535,-0.0677564,0.2546411,0.9966072,-0.0823048,-0.0,0.0],[1.0499181,0.1333255,1.2531195,0.9963512,-0.0761333,-0.0181042,-0.034061],[1.190139,1.1299982,-1.0207241,0.9976349,0.0227797,0.0644583,-0.0071247],[1.3535535,1.1910206,0.1396839,0.9958976,-0.0904876,0.0,0.0],[1.1004347,1.2183357,1.2218953,0.9953454,-0.0882015,-0.0366248,0.0129059],[-0.5000001,0.5000001,0.1080131,0.9238795,0.0,0.0,-0.3826835]]},{"n":29,"s":"3.70710+","ref":3.7071067811865475,"refsrc":"E. Friedman, 1998 (Friedman's Packing Center), s = 3 + 1/\u221a2","refcode":"F","cmp":"equal","sf":3.7071072519034,"st":3.707106781216,"cf":null,"den":0.5692,"vlb":3.07232,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n29.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1392 vertex/face tests: ok;  min wall gap ~ 1.000000218288e-07","(2) separation, exact, 406 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999389627424e-08"],"p":[[1.2182614,1.2450546,-1.2189438,0.7069611,-0.7014237,0.0817599,-0.0390664],[1.3535535,-1.1882496,-1.2746895,0.0125176,-0.9999217,-0.0,0.0],[-1.3535535,0.3535534,-1.3535535,0.0,0.0,0.7071068,0.7071068],[-0.3535534,-0.0900506,0.3535534,0.0,0.7071068,-0.7071068,0.0],[-0.111829,1.3075234,0.1974256,0.5261904,-0.4922015,-0.4934833,-0.4871711],[1.3535535,-0.0311311,-1.3535535,0.7071068,-0.7071068,0.0,-0.0],[1.265267,1.2174067,1.2802805,0.6873307,0.7244675,0.049954,0.0150984],[-1.3472588,-1.3472588,-1.3535535,0.0003727,0.0,0.0,-0.9999999],[0.2007254,-1.2472345,1.2287604,0.0119618,0.713588,-0.6994556,0.0375623],[1.3472413,-0.2864011,0.2385376,0.0645098,-0.707195,-0.7009545,-0.0661556],[0.3535534,-1.3535535,-1.3475101,0.5,-0.5,-0.5,0.5],[-1.3535535,-0.5,0.5000001,0.0,0.0,0.9238787,-0.3826853],[1.2835072,-1.2692186,1.2474784,0.4898315,0.5117075,-0.5128126,-0.4850193],[-1.0911059,-1.3535535,1.3535535,0.7071068,0.7071068,0.0,-0.0],[-1.3535535,0.3535534,-0.3535534,0.0,-0.7071068,0.7071068,0.0],[-0.2178419,1.2098047,-1.2741878,0.7597404,-0.0554146,-0.0526646,-0.6457169],[1.2123298,1.2967917,0.0396291,0.0460845,0.7060358,0.7047276,0.0524276],[-0.0097979,-1.2847909,-2e-07,0.6956079,0.0459081,0.0372196,0.7159866],[-1.2945629,1.3535535,-0.0650504,0.0214825,-0.7067804,-0.7067804,0.0214825],[-1.2637313,1.3535535,0.9844973,0.4838835,0.4838835,0.515613,-0.515613],[-1.3230133,1.3535535,-1.266903,0.4841691,0.4841691,0.5153448,-0.5153448],[-1.340476,0.3535534,1.3535535,0.0,-0.0,0.0,1.0],[-0.0410351,1.2775904,1.2479118,0.7042944,0.0073141,0.006306,0.7098424],[1.2681447,-1.3305497,-0.1755528,0.7169922,-0.0168042,-0.6966864,-0.0163658],[-0.1286738,0.198397,1.3535535,0.0,-0.0008009,-0.9999997,0.0],[-1.2192536,-1.3535535,-0.3535534,0.7071068,0.7071068,-0.0,0.0],[0.482584,0.2709274,-0.517416,0.6694194,0.3122972,0.2277668,0.6344056],[-0.4303905,-0.4303901,-1.3233639,0.0285349,-0.9234394,0.3824994,-0.0118195],[0.9917716,0.0187066,1.333029,0.55083,0.4459683,0.5573357,-0.4325223]]},{"n":30,"s":"3.70710+","ref":3.7071067811865475,"refsrc":"E. Friedman, 1998 (Friedman's Packing Center), s = 3 + 1/\u221a2","refcode":"F","cmp":"equal","sf":3.7071072520114,"st":3.707106781301,"cf":null,"den":0.5889,"vlb":3.10723,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n30.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1440 vertex/face tests: ok;  min wall gap ~ 1.000000111875e-07","(2) separation, exact, 435 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[1.1927032,1.3535535,-1.2282233,0.7000318,-0.7000318,-0.0997773,-0.0997773],[1.3535535,-1.3535535,-1.3535535,0.0,-1.0,-0.0,0.0],[-1.3535535,0.3535534,-1.3535535,0.0,-0.0,0.7071068,0.7071068],[-0.2206519,0.5000001,0.5000001,0.2705941,0.6532831,-0.6532831,0.2705941],[0.1895926,1.3535535,-0.3535534,0.5,-0.5,-0.5,-0.5],[1.3535535,0.3535534,-1.3535535,0.7071068,-0.7071068,-0.0,-0.0],[1.2907621,1.3535535,1.3406994,0.7071067,0.7071067,-0.0002371,0.0002371],[-1.3535535,-1.3535535,-1.3535535,0.0,0.0,-0.0,1.0],[-0.0147747,-1.3535535,1.0711534,0.0151838,0.7069437,-0.7069437,-0.0151838],[1.3001842,-0.5,-0.5000001,0.2705994,-0.6532809,-0.6532809,-0.2705994],[0.3535534,-1.3535535,-1.3535535,0.5,-0.5,-0.5,0.5],[1.1392317,-1.2437399,1.3535535,0.4661953,0.4661953,-0.5316596,-0.5316596],[-1.1932576,-1.3535535,1.3535535,0.7071068,0.7071068,0.0,0.0],[-1.3159884,0.3535534,-0.3535534,0.0,-0.7071068,0.7071068,0.0],[-0.0607303,1.3535535,-1.3535535,0.7071068,-0.0,0.0,-0.7071068],[1.3033523,1.3535535,0.0399318,0.4947583,-0.5051873,-0.5051873,0.4947583],[0.0025312,-1.3535535,-0.0106277,0.7057861,0.0431976,0.0431976,0.7057861],[-1.2720535,1.3535535,-0.0583567,0.0001771,0.7071068,0.7071068,0.0001771],[-1.2631035,1.3535535,1.0030666,0.4732759,0.4732759,0.5253664,-0.5253664],[-1.231109,1.3535535,-1.223807,0.5630935,0.5630935,0.4276982,-0.4276982],[-1.2467245,0.3535534,1.3535535,0.0,0.0,0.0,-1.0],[0.0352155,1.3535535,1.3535535,0.7071068,0.0,-0.0,0.7071068],[-1.1984735,-1.3535535,-0.3535534,0.7071068,0.7071068,-0.0,0.0],[-0.5000001,-0.5000001,-1.3535535,0.0,0.9238793,-0.3826839,0.0],[1.2310068,0.08183,1.3535535,0.5555281,0.4374798,0.5555281,-0.4374798],[-0.0298506,-0.3535534,1.3535535,0.0,-1.0,-0.0,0.0],[0.0611284,-0.3535534,-0.3535534,0.7071068,-0.0,0.0,-0.7071068],[1.3184792,0.3535534,0.3535534,0.5,0.5,-0.5,0.5],[-1.2885307,-0.5000001,0.5000001,0.9238811,-0.3826797,-0.0,0.0],[1.2682674,-1.3535535,0.3535534,0.0,-1.0,0.0,-0.0]]},{"n":31,"s":"3.70710+","ref":3.7071067811865475,"refsrc":"E. Friedman, 1998 (Friedman's Packing Center), s = 3 + 1/\u221a2","refcode":"F","cmp":"equal","sf":3.7071072520139,"st":3.707106781303,"cf":null,"den":0.6085,"vlb":3.14138,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n31.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1488 vertex/face tests: ok;  min wall gap ~ 1.000000185991e-07","(2) separation, exact, 465 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[1.1927032,1.3535535,-1.2282233,0.7000318,-0.7000318,-0.0997773,-0.0997773],[1.3535535,-1.3535535,-1.3535535,0.0,-1.0,-0.0,0.0],[-1.3535535,0.3535534,-1.3535535,0.0,-0.0,0.7071068,0.7071068],[-0.2206519,0.5000001,0.5000001,0.2705941,0.6532831,-0.6532831,0.2705941],[0.1895926,1.3535535,-0.3535534,0.5,-0.5,-0.5,-0.5],[1.3535535,0.3535534,-1.3535535,0.7071068,-0.7071068,-0.0,-0.0],[1.2907621,1.3535535,1.3406994,0.7071067,0.7071067,-0.0002371,0.0002371],[-1.3535535,-1.3535535,-1.3535535,0.0,0.0,-0.0,1.0],[-0.0147747,-1.3535535,1.0711534,0.0151838,0.7069437,-0.7069437,-0.0151838],[1.3001842,-0.5,-0.5000001,0.2705994,-0.6532809,-0.6532809,-0.2705994],[0.3535534,-1.3535535,-1.3535535,0.5,-0.5,-0.5,0.5],[1.1392317,-1.2437399,1.3535535,0.4661953,0.4661953,-0.5316596,-0.5316596],[-1.1932576,-1.3535535,1.3535535,0.7071068,0.7071068,0.0,0.0],[-1.3159884,0.3535534,-0.3535534,0.0,-0.7071068,0.7071068,0.0],[-0.0607303,1.3535535,-1.3535535,0.7071068,-0.0,0.0,-0.7071068],[1.3033523,1.3535535,0.0399318,0.4947583,-0.5051873,-0.5051873,0.4947583],[0.0025312,-1.3535535,-0.0106277,0.7057861,0.0431976,0.0431976,0.7057861],[-1.2720535,1.3535535,-0.0583567,0.0001771,0.7071068,0.7071068,0.0001771],[-1.2631035,1.3535535,1.0030666,0.4732759,0.4732759,0.5253664,-0.5253664],[-1.231109,1.3535535,-1.223807,0.5630935,0.5630935,0.4276982,-0.4276982],[-1.2467245,0.3535534,1.3535535,0.0,0.0,0.0,-1.0],[0.0352155,1.3535535,1.3535535,0.7071068,0.0,-0.0,0.7071068],[-1.1984735,-1.3535535,-0.3535534,0.7071068,0.7071068,-0.0,0.0],[0.3535534,0.3535534,-1.3535535,0.5,0.5,0.5,0.5],[-0.5000001,-0.5000001,-1.3535535,0.0,0.9238793,-0.3826839,0.0],[1.2310068,0.08183,1.3535535,0.5555281,0.4374798,0.5555281,-0.4374798],[-0.0298506,-0.3535534,1.3535535,0.0,-1.0,-0.0,0.0],[0.0611284,-0.3535534,-0.3535534,0.7071068,-0.0,0.0,-0.7071068],[1.3184792,0.3535534,0.3535534,0.5,0.5,-0.5,0.5],[-1.2885307,-0.5000001,0.5000001,0.9238811,-0.3826797,-0.0,0.0],[1.2682674,-1.3535535,0.3535534,0.0,-1.0,0.0,-0.0]]},{"n":32,"s":"3.70710+","ref":3.7071067811865475,"refsrc":"E. Friedman, 1998 (Friedman's Packing Center), s = 3 + 1/\u221a2","refcode":"F","cmp":"equal","sf":3.7071072531748,"st":3.707106782464,"cf":null,"den":0.6281,"vlb":3.1748,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n32.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1536 vertex/face tests: ok;  min wall gap ~ 1.000000114935e-07","(2) separation, exact, 496 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000006135e-07"],"p":[[1.3535535,1.3535535,-1.3535535,0.7071068,-0.7071068,-0.0,0.0],[1.3535535,-1.3535535,-1.3535535,0.0,1.0,0.0,0.0],[-1.3535535,0.3535534,-1.3535535,0.0,0.0,-0.7071068,-0.7071068],[-0.3535534,1.2777756,0.3535534,0.0,0.0,-0.7071068,0.7071068],[0.5000001,1.3535535,-0.5000001,0.2706022,-0.2706022,-0.6532798,-0.6532798],[1.3535535,0.3535534,-1.3535535,0.7071068,-0.7071068,-0.0,0.0],[1.3535535,1.3535535,1.3535535,0.7071068,0.7071068,-0.0,-0.0],[-1.3535535,-1.3535535,-1.3535535,0.0,0.0,-0.0,1.0],[0.1869244,-1.3535535,1.1421255,0.0724415,0.7033863,-0.7033863,-0.0724415],[1.3535535,-0.5000001,-0.5000001,0.2706012,-0.6532802,-0.6532802,-0.2706012],[0.3535534,-1.3535535,-1.3175475,0.5,-0.5,-0.5,0.5],[1.3204361,-1.3535535,1.3535535,0.5,0.5,-0.5,-0.5],[-1.3121907,-1.3535535,1.3535535,0.7071068,0.7071068,-0.0,0.0],[-1.3535535,0.3535534,-0.3535534,0.0,-0.7071068,0.7071068,0.0],[-0.3535534,1.3535535,-1.3535535,0.7071068,-0.0,-0.0,-0.7071068],[1.3535535,1.3535535,0.3535534,0.5,-0.5,-0.5,0.5],[0.0575719,-1.178704,-0.1087676,0.6533104,-0.0673012,-0.0669388,0.751116],[-1.3535535,1.3535535,-0.2936118,0.0,0.7071068,0.7071068,-0.0],[-1.3535535,1.3535535,1.3227365,0.5,0.5,0.5,-0.5],[-1.3535535,1.3535535,-1.3317055,0.5,0.5,0.5,-0.5],[-1.3535535,0.3535534,1.3535535,0.0,-0.0,0.0,1.0],[-0.3535534,1.3535535,1.3535535,0.7071068,0.0,-0.0,0.7071068],[1.2430766,-1.3535535,0.3535534,0.7071068,-0.0,-0.7071068,-0.0],[-1.3179528,-1.3535535,-0.3535534,0.7071068,0.7071068,0.0,0.0],[0.3535534,0.3535534,-1.3047938,0.5,0.5,0.5,0.5],[-0.5000001,-0.5000001,-1.3535535,0.0,-0.9238794,0.3826837,-0.0],[-0.3535534,-0.3535534,1.3093129,0.0,1.0,0.0,0.0],[-0.0190528,-0.0091029,-0.0114657,0.715769,-0.0984843,0.2551624,-0.6425478],[1.2881357,0.3535534,0.3535534,0.5,0.5,-0.5,0.5],[-1.3535535,-0.5000001,0.5,0.9238815,-0.3826787,-0.0,-0.0],[0.5000001,0.5000001,1.3535535,0.2706047,0.2706047,-0.6532787,-0.6532787],[1.3535535,-0.3535534,1.3535535,0.5,0.5,-0.5,-0.5]]},{"n":33,"s":"3.76628+","ref":3.7071067811865475,"refsrc":"E. Friedman, 1998 (Friedman's Packing Center), s = 3 + 1/\u221a2","refcode":"F","cmp":"behind","sf":3.7662822116899,"st":3.766281735174,"cf":null,"den":0.6177,"vlb":3.20753,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n33.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1584 vertex/face tests: ok;  min wall gap ~ 1.000000399111e-07","(2) separation, exact, 528 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[1.3691115,1.383141,-1.3702349,0.707056,-0.707056,-0.0084728,-0.0084728],[1.3731613,-1.383141,-1.383141,0.0,1.0,-0.0,0.0],[-1.3800811,0.3585425,-1.3654936,0.0020284,-0.0021714,0.7076278,0.7065791],[-0.3591466,1.383054,0.3480483,0.0046952,0.0047845,0.7070812,-0.7071006],[0.4941386,1.3827999,-0.5148365,0.3218219,-0.3221989,-0.6296362,-0.6294258],[1.3815095,0.3831409,-1.383141,0.7071068,-0.7071068,-0.0,-0.0],[1.3653945,1.3804749,1.3818046,0.7080524,0.7061599,-0.0,-0.0],[-1.3801476,-1.3143433,-1.383141,0.0007469,-0.0,0.0,0.9999997],[1.383141,-0.5000008,-0.5000018,0.1369558,-0.6937169,-0.6937169,-0.1369558],[0.3425078,-1.3597508,-1.383141,0.5104431,-0.5104431,-0.4893341,0.4893341],[1.2986894,-1.364876,1.3831376,0.4974547,0.4974581,-0.502529,-0.5025324],[-1.383141,-1.3721154,1.3637784,0.7081351,0.706077,-0.0,-0.0],[-1.3829813,0.3592514,-0.3539008,1.8e-05,0.707062,-0.7071515,0.0001543],[-0.3603345,1.3814259,-1.378943,0.7073779,0.0011649,-0.0029301,-0.7068285],[1.3771088,1.383141,0.3236883,0.4975873,-0.5024011,-0.5024011,0.4975873],[-0.3831409,-1.383141,-0.3831409,0.7071068,-0.0,-0.0,0.7071068],[-1.3823708,1.3740348,-0.0794744,0.0029048,-0.7075221,-0.7066785,-0.0030845],[-1.3732025,1.3787834,1.0972397,0.5011964,0.5050503,0.495058,-0.4986421],[-1.3713992,1.3701423,-1.37219,0.5086624,0.4961515,0.4981021,-0.4969815],[-1.383141,0.3706289,1.3829769,0.0,0.0,-0.0001522,-1.0],[-0.370512,1.3687121,1.3574853,0.713914,-0.0069963,-0.001889,0.7001959],[1.38272,-1.3831376,0.3831374,0.7071068,2.4e-06,-0.7071068,-2.4e-06],[-1.383141,-1.3667435,-0.3174989,0.7180789,0.6959617,-0.0,0.0],[0.3761962,0.3726897,-1.3827982,0.4995991,0.4992565,0.5006456,0.5004975],[-0.4875082,-0.4819987,-1.383141,0.0,-0.9192263,0.3937297,-0.0],[-0.3831409,-0.3576723,1.383141,0.0,1.0,0.0,-0.0],[-0.3829233,0.3826312,-0.3828048,0.4998312,-0.5001054,0.499749,-0.5003142],[1.383141,0.3831409,0.3831338,0.5,0.5,-0.5,0.5],[-1.383141,-0.4825992,0.5224208,0.943558,-0.3312072,-0.0,-0.0],[0.4962561,0.5035256,1.3831294,0.342849,0.3428561,-0.6184291,-0.6184252],[1.3672414,-0.3548889,1.3831305,0.4981679,0.498175,-0.5018183,-0.5018254],[0.3383495,-0.5119465,0.3807693,0.8027998,-0.3417477,0.4308565,0.230399],[-0.1952719,-1.383141,1.195272,0.6172624,-0.3449452,0.3449452,-0.6172624]]},{"n":34,"s":"3.89442+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.8944276804458,"st":3.894427191012,"cf":null,"den":0.5756,"vlb":3.23961,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n34.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1632 vertex/face tests: ok;  min wall gap ~ 1.000000371009e-07","(2) separation, exact, 561 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999989185e-08"],"p":[[1.3375307,1.4097283,-1.3949424,0.7132941,0.0007186,0.0197313,-0.7005867],[1.238408,0.2330325,1.4398259,0.6605415,0.2565185,0.6567228,-0.2580666],[1.4233386,-1.4083625,-1.4472137,0.0,-0.9997454,0.0225643,0.0],[0.5103722,-0.5705771,-1.4033962,0.1489765,0.6971021,-0.1213805,0.6907398],[-0.364089,-0.1767299,0.2386202,0.6915946,0.2322264,-0.6576546,-0.1877715],[0.4907533,1.4472116,0.5979586,0.6786507,-0.6786484,-0.1985819,-0.1985821],[1.4268929,0.3443695,-0.3555144,0.5245547,-0.4777544,0.4648551,0.5296252],[1.2565339,1.443944,1.2565304,0.339446,0.3394669,-0.6203039,0.6202916],[-1.441752,-1.2090495,-1.4472137,0.0006029,-0.0,-0.0,-0.9999998],[-0.3737693,-1.4322381,1.3176819,0.0124674,-0.6993964,0.7143816,-0.0186599],[1.4472137,-0.598199,0.4372959,0.3717477,-0.6015012,-0.6015012,-0.3717477],[-1.3958884,-0.68434,0.4863264,1e-07,-2e-07,0.9373761,-0.3483189],[1.3034526,-1.4248802,1.4226849,0.5097575,0.4902098,-0.5099191,-0.4897185],[-1.4472137,0.4143374,-1.4472137,0.7071068,-0.7071068,0.0,0.0],[-1.4111664,-1.4472114,1.4471374,0.7071074,0.7071062,4e-07,-2.4e-06],[0.0577247,1.418215,-1.4249895,0.0164595,-0.010972,0.0025451,-0.9998011],[0.2486884,-1.297218,0.0582914,0.5463716,-0.3004317,-0.4831525,0.6146401],[-0.3113759,1.2407079,-0.0080191,0.1744372,-0.8172466,-0.3187189,0.447323],[-1.4134134,1.4472137,1.446214,0.4996286,0.4996286,0.5003712,-0.5003712],[-1.4467988,1.4451857,-0.4467014,0.0001229,-5.08e-05,-0.7069805,0.7072331],[-1.4472137,-0.027399,1.2416185,0.0,0.0,-0.3481868,-0.9374252],[-0.4084722,1.4472137,1.4358474,0.7063342,-0.0,-0.7078786,-0.0],[1.4190887,-1.4472137,-0.4472136,0.7071068,-0.0,-0.7071068,-0.0],[0.3863136,-0.5037659,1.4472137,0.0,0.2297532,0.9732489,0.0],[-1.3977712,-1.4472137,-0.4472136,0.7071068,0.7071068,-0.0,0.0],[0.2423225,0.5625965,-0.5343296,0.4153874,0.5398707,0.7031903,-0.2037556],[1.2557281,1.3813691,-0.1943212,0.6095132,-0.5980971,0.3544043,0.3810132],[-0.4472136,0.4472136,1.4440613,0.0,0.0,0.7071068,0.7071068],[-1.4194151,0.0080408,-0.2420339,0.2462982,0.6628251,-0.2462982,-0.6628251],[-0.3513388,-1.4470238,-0.9162745,0.7045344,-0.7046822,0.0593319,0.0594475],[-1.4472137,0.6657558,0.5112587,0.9373763,-0.3483183,0.0,-0.0],[-0.493969,-0.2996679,-1.4471859,0.1845037,5.1e-06,2.74e-05,0.9828318],[-0.9960618,1.4150659,-1.4469668,0.7071055,-8.65e-05,0.0001694,0.707108],[1.2989191,0.2162355,-1.434937,0.6979072,-0.133207,-0.6937391,-0.1179305]]},{"n":35,"s":"3.89442+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.8944276806211,"st":3.894427191274,"cf":null,"den":0.5926,"vlb":3.27107,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n35.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1680 vertex/face tests: ok;  min wall gap ~ 1.000000071944e-07","(2) separation, exact, 595 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999987982123e-08"],"p":[[1.3893068,1.4047814,-1.4472137,0.7051003,-0.0,0.0,-0.7091076],[1.3621798,0.4472136,1.4472137,0.5,0.5,0.5,-0.5],[1.4282002,-1.4193774,-1.4472137,0.0,-0.9999405,0.0109122,0.0],[0.554445,-0.5661258,-1.3838613,0.1978164,0.6797852,-0.1987168,0.6776964],[-0.7517941,1.4418553,-1.4471996,0.0053787,-5.4e-06,-8.8e-06,0.9999855],[0.0898668,-0.2307078,0.1859803,0.6898594,0.2688542,-0.6135587,-0.2745126],[0.5763582,1.4472137,0.6098336,0.6600941,-0.6600941,-0.2535267,-0.2535267],[1.4443462,0.4472136,-0.4472136,0.5,-0.5,0.5,0.5],[1.4462642,1.4472137,1.4461704,0.4995315,0.4995315,-0.500468,0.500468],[-1.3796954,-1.3374299,-1.4472137,0.0178909,0.0,0.0,0.9998399],[-0.4472136,-1.4472137,1.2814417,0.0,-0.7071068,0.7071068,0.0],[1.4472137,-0.3658347,0.4552789,0.1624612,-0.6881906,-0.6881906,-0.1624612],[-0.2793612,-1.4469169,-1.4472137,0.4998515,-0.4998515,-0.5001485,0.5001485],[-1.4472137,-0.6818691,0.4830389,0.0,-0.0,-0.9393384,0.3429918],[1.3158659,-1.338225,1.2782649,0.4114145,0.5901002,-0.4797628,-0.502342],[-1.3553252,0.4569294,-1.4471515,0.7033578,-0.7033268,0.0728637,-0.0728703],[-1.4472137,-1.4472137,1.4446754,0.7071068,0.7071068,-0.0,-0.0],[0.287971,1.3942703,-1.3956051,0.00815,0.0087145,0.0426052,-0.9990207],[0.4552787,-1.4472137,0.3658356,0.6881909,-0.1624603,-0.1624603,0.6881909],[-0.2361452,1.2464551,0.0079548,0.1812613,-0.8179823,-0.4050627,0.366024],[-1.3970149,1.4472137,1.4450291,0.4993422,0.4993422,0.500657,-0.500657],[-1.4471896,1.4425767,-0.4467412,1.71e-05,7.3e-06,0.707127,-0.7070866],[-1.4472137,-0.0295365,1.242182,0.0,0.0,-0.3429946,-0.9393374],[-0.3623128,1.4472137,1.3859998,0.6858955,0.0,-0.7277,0.0],[1.4472137,-1.387251,-0.4472136,0.7071068,0.0,-0.7071068,-0.0],[0.3658338,-0.455279,1.4472137,0.0,-0.5257281,-0.8506527,-0.0],[1.3189484,0.2712166,-1.4472137,0.9888536,0.0,-0.0,-0.1488911],[-1.4472137,-1.4472137,-0.4472136,0.7071068,0.7071068,0.0,-0.0],[0.2480815,0.5441174,-0.5276694,0.4430719,0.549789,0.7030386,-0.0845935],[1.2797045,1.4472137,-0.2671131,0.5987568,-0.5987568,0.376152,0.376152],[-1.3283199,0.0155316,-0.2412814,0.2428057,0.6650219,-0.2422469,-0.6634061],[-0.4472136,-1.3871445,-0.4472136,0.7071068,-0.7071068,0.0,-0.0],[-1.4472137,0.6688428,0.5171054,0.9393411,-0.3429843,-0.0,0.0],[-0.4541614,-0.257153,-1.4472137,0.2780541,0.0,-0.0,0.9605654],[-0.4472136,0.4472136,1.3434782,0.5,0.5,-0.5,0.5]]},{"n":36,"s":"3.91228+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.912282490811,"st":3.912281999614,"cf":null,"den":0.6012,"vlb":3.30193,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n36.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1728 vertex/face tests: ok;  min wall gap ~ 1.000000221240e-07","(2) separation, exact, 630 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999994854404e-08"],"p":[[-1.4082004,-1.4545259,1.4535245,0.0007517,0.0001715,0.7077047,0.706508],[0.1317629,1.4561411,-1.4561411,0.5,-0.5,0.5,0.5],[1.4561411,1.4561411,1.3641732,0.5,0.5,0.5,-0.5],[-0.456141,1.4561411,1.4561411,0.5,-0.5,-0.5,-0.5],[-1.4561411,0.456141,1.450436,0.0,-0.0,1.0,0.0],[0.5592922,-0.5130238,0.6364524,0.3198283,0.8480337,-0.1491092,0.3953671],[0.4826716,0.7010605,1.4561411,0.6643065,0.2422744,0.6643065,-0.2422744],[-0.2992644,0.0083503,1.4561411,0.0,0.8913961,0.4532251,-0.0],[1.4561411,0.4243456,-1.4561411,0.7071068,0.0,0.0,0.7071068],[-0.4106744,0.209882,-1.4561091,0.5007273,0.5007065,0.4992813,0.4992829],[1.4561411,-0.4346267,1.4561411,0.7071068,-0.0,-0.0,0.7071068],[-1.4550999,-1.4561411,-1.4561411,0.0,0.0,-0.7071068,-0.7071068],[1.4561411,1.3036704,0.0208185,0.1369144,0.6937251,0.6937251,-0.1369144],[1.4561411,-1.4515618,1.4561411,0.0,0.7071068,-0.7071068,0.0],[-0.0687349,1.4561411,0.2541658,0.0,-0.9452537,-0.0,0.3263364],[-1.4561411,-0.4807742,-0.7000705,0.0,-0.0,0.3380071,0.9411436],[1.4271629,1.4561411,-1.4561411,0.7071068,-0.0,0.7071068,0.0],[-1.4561411,1.4561411,-1.4561411,0.5,-0.5,-0.5,0.5],[-1.4561411,1.4456719,0.4337328,0.0,0.0,-0.7066977,-0.7075156],[-1.4385628,0.456141,-1.4561411,0.7071068,0.7071068,-0.0,-0.0],[-1.4561411,-0.5423011,0.6468406,0.665489,-0.2390071,-0.2390071,-0.665489],[1.4561411,-0.411893,-0.4853159,0.7063433,0.0328496,-0.7063433,-0.0328496],[-0.456141,-1.4561411,0.4242784,0.0,-0.0,0.7071068,0.7071068],[0.4819802,0.6311914,-0.5239774,0.2467385,0.8992425,-0.0955817,-0.3483492],[-1.4561411,1.4561411,1.4456183,0.0,-1.0,-0.0,-0.0],[0.5534934,-1.4561411,-0.6322047,0.8395116,-0.0,-0.5433417,0.0],[1.2657232,-1.4561411,0.1783364,0.3412886,0.3412886,0.6192916,-0.6192916],[-0.6859526,1.4561411,-0.5326268,0.3094586,-0.6357951,0.6357951,-0.3094586],[-0.456141,0.456141,0.456141,0.0,-0.0,0.0,-1.0],[-0.4457915,-1.397509,-1.4561317,0.5000058,0.4999942,0.5000152,-0.4999848],[1.4561411,0.3995421,0.4516032,0.6937251,-0.1369144,-0.1369144,-0.6937251],[-1.4561411,-1.2522767,-0.063844,0.0,-0.0,-0.4264819,0.9044961],[-0.456141,-0.4589118,-0.4789662,0.7028334,0.0776227,0.0776227,-0.7028334],[-1.4561411,0.2300107,0.0099646,0.6654919,-0.2389991,0.2389991,0.6654919],[1.4561411,-1.4065005,-1.4561411,0.7071068,0.0,0.7071068,0.0],[0.019309,-1.2579239,1.4544471,0.6296764,0.3220911,-0.6293666,0.3219668]]},{"n":37,"s":"3.92631+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.926311923636,"st":3.92631143102,"cf":null,"den":0.6113,"vlb":3.33222,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n37.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1776 vertex/face tests: ok;  min wall gap ~ 1.000000444068e-07","(2) separation, exact, 666 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999996097854e-08"],"p":[[-1.3905765,-1.4631559,1.4631559,0.0,0.0,0.7071068,0.7071068],[0.4631558,1.4631559,-1.4631559,0.5,-0.5,0.5,0.5],[1.4631559,1.4631559,1.4356711,0.5,0.5,0.5,-0.5],[-0.1704683,-1.4171336,1.4631559,0.0,-0.6764592,0.7364802,0.0],[-0.4631558,1.4631559,1.4593686,0.5,-0.5,-0.5,-0.5],[-1.4631559,0.4602627,1.4631559,0.0,-0.0,-1.0,-0.0],[0.5009903,-0.4989129,0.6455457,0.3373517,0.79974,-0.2020319,0.4536441],[0.5120092,0.7174642,1.4631559,0.6455698,0.2885127,0.6455698,-0.2885127],[-0.2571247,0.0773547,1.4631559,0.0,0.9340826,0.3570571,0.0],[1.4631559,0.3611274,-1.4631559,0.7071068,0.0,-0.0,0.7071068],[-0.282406,0.3791449,-1.4631559,0.3572495,0.3572495,0.6102235,0.6102235],[1.4631559,-0.4631558,1.4631559,0.7071068,-0.0,0.0,0.7071068],[-1.4503477,-1.4631559,-1.4631559,0.0,0.0,0.7071068,0.7071068],[1.4631559,1.3545689,0.0634325,0.0885757,0.7015371,0.7015371,-0.0885757],[1.4512929,-1.4631559,1.4631559,0.0,-0.7071068,0.7071068,-0.0],[-0.0374083,1.4631559,0.2488631,0.0,0.9327658,-0.0,-0.360483],[-1.4631559,-0.4881071,-0.7173498,0.0,0.0,-0.3570381,-0.9340898],[1.4631559,1.4631559,-1.4631559,0.7071068,0.0,0.7071068,0.0],[-1.4623162,1.4630442,-1.4623162,0.5004158,-0.4995809,-0.4996843,0.5003185],[-1.4631559,1.4629389,0.4631558,0.0,0.0,0.7071068,0.7071068],[-1.4631559,0.4629308,-1.4631559,0.7071068,0.7071068,0.0,0.0],[-1.4631559,-0.4861933,0.7148048,0.643265,-0.2936156,-0.2936156,-0.643265],[1.4631559,-0.4631558,-0.4631558,0.7071068,0.0,-0.7071068,-0.0],[-0.4631558,-1.4631559,0.4631558,0.0,-0.0,-0.7071068,-0.7071068],[0.5026432,0.6552038,-0.5213898,0.2624584,0.8770275,-0.1153712,-0.3855228],[0.5210386,-0.4598728,-1.4631559,0.5503336,-0.4439965,-0.5503336,-0.4439965],[-1.4631559,1.4620679,1.4631559,0.0,1.0,0.0,0.0],[0.689689,-1.4631559,-0.4555916,0.8738727,0.0,-0.4861548,0.0],[1.4631559,-1.4631559,0.4631558,0.5,0.5,0.5,-0.5],[-0.710337,1.4631559,-0.5102226,0.2955103,-0.6423968,0.6423968,-0.2955103],[-0.4631558,0.4631558,0.4631558,0.0,-0.0,-0.0,-1.0],[-0.4119977,-1.3557327,-1.3422521,0.439961,0.5416757,0.5619144,-0.4441554],[1.4631559,0.4224176,0.4541031,0.7015373,-0.0885745,-0.0885745,-0.7015373],[-1.4631559,-1.4631559,0.0016363,0.0,0.0,-0.0,1.0],[-0.4631558,-0.4856186,-0.382391,0.6939581,0.1357281,0.1357281,-0.6939581],[-1.4631559,0.2541771,-0.0036416,0.6524679,-0.2725539,0.2725539,0.6524679],[1.4631559,-1.4446823,-1.4631559,0.7071068,-0.0,0.7071068,0.0]]},{"n":38,"s":"3.98077+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.9807736594572,"st":3.980773161401,"cf":null,"den":0.6024,"vlb":3.36198,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n38.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1824 vertex/face tests: ok;  min wall gap ~ 1.000000045677e-07","(2) separation, exact, 703 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999905919e-08"],"p":[[-1.3553852,-1.4903867,1.4903867,0.0,0.0,0.7071068,0.7071068],[1.4837477,-1.4787772,-1.483747,0.5002265,0.501115,-0.5004801,-0.4981735],[0.4826209,1.4903855,-1.4903867,0.5000006,-0.4999994,0.5000006,0.4999994],[1.4875633,1.4860023,1.4701917,0.5014183,0.4997322,0.4973802,-0.5014583],[-0.2007035,-1.4544986,1.4898569,0.0003024,0.7251451,-0.6885959,-0.0003567],[-0.4897076,1.4794883,1.4903867,0.500165,-0.4998349,-0.500165,-0.4998349],[-1.4563432,0.2333693,1.4903867,0.0,-0.0350265,0.9993864,0.0],[0.5312345,0.7176622,1.4903418,0.6446166,0.2906874,0.6445587,-0.2907135],[-0.2337752,0.0587981,1.4812588,0.0085424,-0.9342752,-0.3564366,0.0031411],[-0.2487898,0.4701433,-1.4903867,0.3113316,0.3113316,0.63488,0.63488],[-1.4903867,-1.4903867,-1.4903867,0.0,0.0,-0.7071068,-0.7071068],[-1.4903853,-1.4903867,-0.4903855,0.7071068,0.7071068,-8e-07,8e-07],[1.4898343,1.3730086,0.157906,0.0966922,0.7001398,0.7007581,-0.0969172],[-1.4902948,0.4903866,0.4903866,0.5,0.5,0.5,0.5],[1.4841921,-1.4899027,1.4903867,0.0,-0.7074492,0.7067642,-0.0],[-0.0475783,1.4903867,0.3266837,0.0,-0.8924204,0.0,0.4512048],[-1.4903867,-0.2377899,-0.464187,0.0,-0.0,-0.3191461,-0.9477055],[1.483969,1.4837448,-1.4547334,0.7070046,0.0044471,0.7071824,0.0042162],[-1.4894944,1.4903867,-1.4894943,0.4998222,-0.5001777,-0.5001777,0.4998222],[-1.4171641,1.4903867,0.4104075,0.0564655,-0.0564655,-0.7048487,-0.7048487],[-1.4828808,0.4903866,-1.4903867,0.7071068,0.7071068,-0.0,0.0],[-1.4903867,-0.7706722,0.5186599,0.643605,-0.2928695,-0.2928695,-0.643605],[1.4779119,-0.4426839,-0.481425,0.7072595,-0.0096772,-0.7068484,-0.0074637],[-0.4903836,-1.4903766,0.4896388,2.1e-06,-5e-07,0.7071004,0.7071132],[0.568064,0.6624946,-0.4649909,0.2163006,0.8943814,-0.1558801,-0.3591621],[-0.4901967,-0.4329373,-0.3318452,0.4003467,0.5828567,-0.4003493,-0.5828559],[0.5661984,-0.355138,-1.4903867,0.56881,-0.4200657,-0.56881,-0.4200657],[-1.4899201,1.4525238,1.4903867,0.0,-0.9999999,-0.0004669,0.0],[0.518938,-1.4570573,-0.4256085,0.7727692,0.0200662,-0.6341561,0.0164669],[1.4903867,-1.4903867,0.4903866,0.5,0.5,0.5,-0.5],[-0.6953304,1.4903709,-0.5729907,0.2972909,-0.6415778,0.6415659,-0.2973033],[-0.4881907,0.4902285,0.4608735,2.12e-05,-3.04e-05,3.19e-05,1.0],[0.2952354,-1.4903867,-1.4903867,0.5,0.5,0.5,-0.5],[1.4903861,0.4059495,0.4880224,0.7022202,-0.0829905,-0.0829904,-0.7022193],[-0.5889571,-0.6700896,-1.4903867,0.2315061,0.6681354,-0.2315061,0.6681354],[0.4949643,-0.5071664,0.6471303,0.3782974,-0.3014795,0.0955903,-0.8699791],[1.4447242,-0.4899086,1.4860202,0.0003658,-0.7087449,-0.0003675,-0.7054646],[1.4899737,0.470819,-1.4903586,0.499984,-0.5000121,-0.500016,0.4999879]]},{"n":39,"s":"4.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.0000005,"st":4.0,"cf":"4","den":0.6094,"vlb":3.39121,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n39.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1872 vertex/face tests: ok;  min wall gap ~ 9.999999961430e-08","(2) separation, exact, 741 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999983634e-08"],"p":[[-0.5000001,0.5000001,-0.5000001,1.0,0.0,0.0,0.0],[-0.5000001,0.5000001,0.5000001,1.0,0.0,0.0,0.0],[-0.5000001,0.5000001,1.5000001,1.0,0.0,0.0,0.0],[-0.5000001,1.5000002,-1.5000002,1.0,0.0,0.0,0.0],[-0.5000001,1.5000002,-0.5000001,1.0,0.0,0.0,0.0],[-0.5000001,1.5000002,0.5000001,1.0,0.0,0.0,0.0],[-0.5000001,1.5000002,1.5000001,1.0,0.0,0.0,0.0],[0.5000001,-1.5000001,-1.5000002,1.0,0.0,0.0,0.0],[0.5000001,-1.5000001,-0.5000001,1.0,0.0,0.0,0.0],[0.5000001,-1.5000001,0.5000001,1.0,0.0,0.0,0.0],[0.5000001,-1.5000001,1.5000001,1.0,0.0,0.0,0.0],[0.5000001,-0.5,-1.5000002,1.0,0.0,0.0,0.0],[0.5000001,-0.5,-0.5000001,1.0,0.0,0.0,0.0],[0.5000001,-0.5,0.5000001,1.0,0.0,0.0,0.0],[0.5000001,-0.5,1.5000001,1.0,0.0,0.0,0.0],[0.5000001,0.5000001,-1.5000002,1.0,0.0,0.0,0.0],[0.5000001,0.5000001,-0.5000001,1.0,0.0,0.0,0.0],[0.5000001,0.5000001,0.5000001,1.0,0.0,0.0,0.0],[0.5000001,0.5000001,1.5000001,1.0,0.0,0.0,0.0],[0.5000001,1.5000002,-1.5000002,1.0,0.0,0.0,0.0],[0.5000001,1.5000002,-0.5000001,1.0,0.0,0.0,0.0],[0.5000001,1.5000002,0.5000001,1.0,0.0,0.0,0.0],[0.5000001,1.5000002,1.5000001,1.0,0.0,0.0,0.0],[1.5000002,-1.5000001,-1.5000002,1.0,0.0,0.0,0.0],[1.5000002,-1.5000001,-0.5000001,1.0,0.0,0.0,0.0],[1.5000002,-1.5000001,0.5000001,1.0,0.0,0.0,0.0],[1.5000002,-1.5000001,1.5000001,1.0,0.0,0.0,0.0],[1.5000002,-0.5,-1.5000002,1.0,0.0,0.0,0.0],[1.5000002,-0.5,-0.5000001,1.0,0.0,0.0,0.0],[1.5000002,-0.5,0.5000001,1.0,0.0,0.0,0.0],[1.5000002,-0.5,1.5000001,1.0,0.0,0.0,0.0],[1.5000002,0.5000001,-1.5000002,1.0,0.0,0.0,0.0],[1.5000002,0.5000001,-0.5000001,1.0,0.0,0.0,0.0],[1.5000002,0.5000001,0.5000001,1.0,0.0,0.0,0.0],[1.5000002,0.5000001,1.5000001,1.0,0.0,0.0,0.0],[1.5000002,1.5000002,-1.5000002,1.0,0.0,0.0,0.0],[1.5000002,1.5000002,-0.5000001,1.0,0.0,0.0,0.0],[1.5000002,1.5000002,0.5000001,1.0,0.0,0.0,0.0],[1.5000002,1.5000002,1.5000001,1.0,0.0,0.0,0.0]]},{"n":40,"s":"4.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.0000005000001,"st":4.0,"cf":"4","den":0.625,"vlb":3.41995,"move":"construction","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubincub/cubincub_n40.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1920 vertex/face tests: ok;  min wall gap ~ 1.000000493523e-07","(2) separation, exact, 780 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-0.5000001,0.5000001,-1.5000002,1.0,0.0,0.0,0.0],[-0.5000001,0.5000001,-0.5000001,1.0,0.0,0.0,0.0],[-0.5000001,0.5000001,0.5000001,1.0,0.0,0.0,0.0],[-0.5000001,0.5000001,1.5000002,1.0,0.0,0.0,0.0],[-0.5000001,1.5000002,-1.5000002,1.0,0.0,0.0,0.0],[-0.5000001,1.5000002,-0.5000001,1.0,0.0,0.0,0.0],[-0.5000001,1.5000002,0.5000001,1.0,0.0,0.0,0.0],[-0.5000001,1.5000002,1.5000002,1.0,0.0,0.0,0.0],[0.5,-1.5000002,-1.5000002,1.0,0.0,0.0,0.0],[0.5,-1.5000002,-0.5000001,1.0,0.0,0.0,0.0],[0.5,-1.5000002,0.5000001,1.0,0.0,0.0,0.0],[0.5,-1.5000002,1.5000002,1.0,0.0,0.0,0.0],[0.5,-0.5,-1.5000002,1.0,0.0,0.0,0.0],[0.5,-0.5,-0.5000001,1.0,0.0,0.0,0.0],[0.5,-0.5,0.5000001,1.0,0.0,0.0,0.0],[0.5,-0.5,1.5000002,1.0,0.0,0.0,0.0],[0.5,0.5000001,-1.5000002,1.0,0.0,0.0,0.0],[0.5,0.5000001,-0.5000001,1.0,0.0,0.0,0.0],[0.5,0.5000001,0.5000001,1.0,0.0,0.0,0.0],[0.5,0.5000001,1.5000002,1.0,0.0,0.0,0.0],[0.5,1.5000002,-1.5000002,1.0,0.0,0.0,0.0],[0.5,1.5000002,-0.5000001,1.0,0.0,0.0,0.0],[0.5,1.5000002,0.5000001,1.0,0.0,0.0,0.0],[0.5,1.5000002,1.5000002,1.0,0.0,0.0,0.0],[1.5000002,-1.5000002,-1.5000002,1.0,0.0,0.0,0.0],[1.5000002,-1.5000002,-0.5000001,1.0,0.0,0.0,0.0],[1.5000002,-1.5000002,0.5000001,1.0,0.0,0.0,0.0],[1.5000002,-1.5000002,1.5000002,1.0,0.0,0.0,0.0],[1.5000002,-0.5,-1.5000002,1.0,0.0,0.0,0.0],[1.5000002,-0.5,-0.5000001,1.0,0.0,0.0,0.0],[1.5000002,-0.5,0.5000001,1.0,0.0,0.0,0.0],[1.5000002,-0.5,1.5000002,1.0,0.0,0.0,0.0],[1.5000002,0.5000001,-1.5000002,1.0,0.0,0.0,0.0],[1.5000002,0.5000001,-0.5000001,1.0,0.0,0.0,0.0],[1.5000002,0.5000001,0.5000001,1.0,0.0,0.0,0.0],[1.5000002,0.5000001,1.5000002,1.0,0.0,0.0,0.0],[1.5000002,1.5000002,-1.5000002,1.0,0.0,0.0,0.0],[1.5000002,1.5000002,-0.5000001,1.0,0.0,0.0,0.0],[1.5000002,1.5000002,0.5000001,1.0,0.0,0.0,0.0],[1.5000002,1.5000002,1.5000002,1.0,0.0,0.0,0.0]]}],"hasref":true,"family":"platonic","group":"platonic","title":"Cubes in a cube","unit":"edge"},{"id":"cubinoct","piece":"cube","container":"octahedron","rows":[{"n":2,"s":"2.41421+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.4142138780328,"st":2.414213562373,"cf":"1 + \u221a2","den":0.3015,"vlb":1.61887,"move":"fresh","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n02.json","ok":true,"ver":true,"cert":["(1) containment, exact, 128 vertex/face tests: ok;  min wall gap ~ 1.000000165176e-07","(2) separation, exact, 1 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003455e-07"],"p":[[-0.5000001,0.0,0.0,0.2705981,-0.6532815,0.2705981,-0.6532815],[0.5000001,0.0,0.0,0.6532815,0.2705981,-0.2705981,0.6532815]]},{"n":3,"s":"2.70710+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.7071071261356,"st":2.707106781187,"cf":"(4 + \u221a2)/2","den":0.3208,"vlb":1.85314,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n03.json","ok":true,"ver":true,"cert":["(1) containment, exact, 192 vertex/face tests: ok;  min wall gap ~ 1.000000254914e-07","(2) separation, exact, 3 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999833666e-08"],"p":[[0.0,0.0,0.7071069,0.9238795,-0.3826834,-0.0,0.0],[0.0,-0.7071069,-0.0,0.2705981,-0.6532815,0.2705981,-0.6532815],[0.0,0.0,-0.7071069,0.2705981,-0.6532815,-0.2705981,0.6532815]]},{"n":4,"s":"2.70710+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.7071071261356,"st":2.707106781187,"cf":"(4 + \u221a2)/2","den":0.4277,"vlb":2.03965,"move":"fresh","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n04.json","ok":true,"ver":true,"cert":["(1) containment, exact, 256 vertex/face tests: ok;  min wall gap ~ 1.000000230556e-07","(2) separation, exact, 6 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999973348e-08"],"p":[[0.0,-0.0,0.7071069,0.9238795,-0.3826834,-0.0,0.0],[0.0,-0.7071069,-0.0,0.2705981,-0.6532815,0.2705981,-0.6532815],[0.0,0.7071069,-0.0,0.2705981,-0.6532815,0.2705981,-0.6532815],[0.0,-0.0,-0.7071069,0.2705981,-0.6532815,-0.2705981,0.6532815]]},{"n":5,"s":"2.91421+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.9142139280328,"st":2.914213562373,"cf":"(3 + 2\u221a2)/2","den":0.4286,"vlb":2.19715,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n05.json","ok":true,"ver":true,"cert":["(1) containment, exact, 320 vertex/face tests: ok;  min wall gap ~ 1.000000190815e-07","(2) separation, exact, 10 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999881099e-08"],"p":[[-0.1464466,-0.0,0.7071069,0.9238795,-0.3826834,-0.0,0.0],[-0.1464466,-0.7071069,0.0,0.2705981,-0.6532815,0.2705981,-0.6532815],[-0.1464466,0.7071069,-0.0,0.2705981,-0.6532815,0.2705981,-0.6532815],[-0.1464466,-0.0,-0.7071069,0.2705981,-0.6532815,-0.2705981,0.6532815],[0.8535535,0.0,-0.0,0.2705981,-0.6532815,0.6532815,0.2705981]]},{"n":6,"s":"2.93435+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.9343536136245,"st":2.934353214549,"cf":null,"den":0.5038,"vlb":2.33482,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n06.json","ok":true,"ver":true,"cert":["(1) containment, exact, 384 vertex/face tests: ok;  min wall gap ~ 1.000000408751e-07","(2) separation, exact, 15 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001347e-07"],"p":[[-0.1504258,0.8412434,-0.1097385,0.3091508,0.8619131,0.4008873,0.0286515],[0.1097385,-0.1504258,-0.8412434,0.7716499,0.0616117,0.4911506,0.399414],[0.1447287,-0.0952534,0.8382905,0.4266388,-0.0532537,0.4676962,0.7722717],[0.8412434,0.1097385,0.1504258,0.8929348,-0.2388623,0.3259944,0.198343],[-0.8382905,0.1447287,0.0952534,0.0290319,0.5084225,0.5837346,0.6323904],[-0.0952534,-0.8382905,-0.1447287,0.0290319,-0.6323904,0.5084225,-0.5837346]]},{"n":7,"s":"3.29102+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.2910251079566,"st":3.291024682315,"cf":null,"den":0.4166,"vlb":2.45792,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n07.json","ok":true,"ver":true,"cert":["(1) containment, exact, 448 vertex/face tests: ok;  min wall gap ~ 1.000000165176e-07","(2) separation, exact, 21 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005025e-07"],"p":[[-0.0351766,-1.0342452,0.0694217,0.7090524,-0.5774159,-0.3057426,-0.2652492],[0.0351766,1.0342452,-0.0694217,0.0930811,-0.9096704,-0.0286332,-0.4037521],[0.0694217,-0.0351766,-1.0342452,0.5774159,0.3057426,0.7090524,-0.2652492],[-0.0694217,0.0351766,1.0342452,0.4037521,0.0930811,-0.0286332,0.9096704],[-1.0342452,0.0694217,-0.0351766,0.6229874,-0.3513141,0.6634808,-0.2196776],[1.0342452,-0.0694217,0.0351766,0.5774159,-0.2652492,0.3057426,0.7090524],[-0.0,0.0,0.0,0.5308618,-0.5308618,0.5308618,-0.3931378]]},{"n":8,"s":"3.41421+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.4142139780328,"st":3.414213562373,"cf":"2 + \u221a2","den":0.4264,"vlb":2.5698,"move":"fresh","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n08.json","ok":true,"ver":true,"cert":["(1) containment, exact, 512 vertex/face tests: ok;  min wall gap ~ 1.000000183123e-07","(2) separation, exact, 28 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999772459e-08"],"p":[[0.7071069,0.5000001,0.0,0.2705981,0.2705981,-0.6532815,0.6532815],[0.0,0.5000001,-0.7071069,0.2705981,-0.6532815,0.6532815,-0.2705981],[0.7071069,-0.5000001,0.0,0.2705981,0.2705981,0.6532815,-0.6532815],[-0.0,0.5000001,0.7071069,0.9238795,0.0,0.3826834,0.0],[-0.7071069,-0.5,0.0,0.2705981,0.6532815,-0.6532815,-0.2705981],[0.0,-0.5000001,0.7071069,0.6532815,-0.2705981,0.2705981,-0.6532815],[-0.7071069,0.5000001,0.0,0.0,0.9238795,-0.0,-0.3826834],[0.0,-0.5000001,-0.7071069,0.6532815,-0.6532815,0.2705981,0.2705981]]},{"n":9,"s":"3.61760+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.6176045728385,"st":3.617604106285,"cf":null,"den":0.4033,"vlb":2.6727,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n09.json","ok":true,"ver":true,"cert":["(1) containment, exact, 576 vertex/face tests: ok;  min wall gap ~ 1.000000054926e-07","(2) separation, exact, 36 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002249e-07"],"p":[[0.7235177,0.610648,-0.0057477,0.2699536,0.2423909,-0.6308329,0.6858728],[0.0138304,0.6019747,-0.7454869,0.3155541,-0.6798501,0.6046674,-0.2694564],[0.9533243,-0.3961186,-0.0183589,0.2671834,0.2500755,0.6278262,-0.6869567],[-0.0137853,0.6869645,0.6655968,0.9316269,0.0210476,0.3602785,-0.0427517],[-0.925263,-0.4230026,0.0080423,0.258705,0.6622018,-0.6248628,-0.3226561],[-0.1195732,-0.6412699,0.9311641,0.7045563,-0.060003,0.5406251,-0.455768],[-0.7305835,0.5903839,-0.046863,0.046669,-0.9323049,-0.0237483,0.3578626],[0.048946,-0.3992981,-0.8883851,0.6301699,-0.6563396,0.2481996,0.3324171],[-0.019776,-1.3413716,0.2170521,0.1414878,0.3415818,0.8584144,-0.3555669]]},{"n":10,"s":"3.69181+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.6918124960846,"st":3.691811969946,"cf":null,"den":0.4216,"vlb":2.76823,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n10.json","ok":true,"ver":true,"cert":["(1) containment, exact, 640 vertex/face tests: ok;  min wall gap ~ 1.000000154920e-07","(2) separation, exact, 45 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001139e-07"],"p":[[0.7577387,0.7551551,-0.2315863,0.3370387,0.3126176,-0.887447,-0.0333599],[-0.3565518,-0.4243504,-0.7517524,0.3440791,0.4043801,0.1674997,-0.8306805],[-0.7199018,-0.6263136,0.3982646,0.1759199,0.3398511,0.8204732,0.4247082],[0.9411493,-0.6801524,-0.1159746,0.1183825,0.3614382,-0.8818214,-0.2788173],[-0.1680391,1.3331456,0.0816576,0.3965386,-0.1335838,-0.6943741,0.5854546],[0.4741463,0.2611394,0.7228566,0.1881176,-0.82995,-0.3160033,-0.419448],[0.2426591,0.1780366,-1.3237843,0.4589809,-0.6621107,0.5918484,-0.0257178],[-0.9370071,0.6878999,-0.1195732,0.3647052,-0.2798481,0.1159169,0.8804762],[0.226728,-1.3852841,0.038801,0.3768475,-0.3494007,-0.8435279,-0.1560954],[-0.2565734,-0.1071441,1.3559045,0.8804762,0.2798481,-0.3647052,0.1159169]]},{"n":11,"s":"3.70710+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.7071072887876,"st":3.707106781187,"cf":"(6 + \u221a2)/2","den":0.458,"vlb":2.85759,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n11.json","ok":true,"ver":true,"cert":["(1) containment, exact, 704 vertex/face tests: ok;  min wall gap ~ 1.000000354908e-07","(2) separation, exact, 55 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999983634e-08"],"p":[[-1.3667195,0.096329,0.2457583,0.3647052,0.1159169,0.8804762,-0.2798481],[-0.0,0.0,1.4142137,0.2705981,0.6532815,0.6532815,-0.2705981],[-0.0,-1.4142137,0.0,0.6532815,0.2705981,0.2705981,-0.6532815],[-0.4047942,0.6580073,0.6580073,0.4247082,0.1759199,-0.3398511,0.8204732],[0.7689934,0.3728746,0.3728746,0.2798481,0.1159169,0.3647052,-0.8804762],[-0.0128745,-0.7517007,0.7517008,0.1513256,0.3653323,0.8485786,-0.3514928],[0.3865042,-0.6843955,-0.6843954,0.3398511,0.8204732,-0.1759199,-0.4247082],[-0.7457493,-0.3844967,-0.3844967,0.8804762,-0.3647052,-0.2798481,0.1159169],[0.0133331,0.809057,-0.809057,0.1504519,0.3632229,-0.8494837,0.3518677],[-0.0,0.0,-1.4142137,0.2705981,-0.6532815,-0.6532815,-0.2705981],[-0.0,1.4142137,0.0,0.6532815,0.2705981,0.6532815,0.2705981]]},{"n":12,"s":"3.70710+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.7071072887876,"st":3.707106781187,"cf":"(6 + \u221a2)/2","den":0.4997,"vlb":2.94168,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n12.json","ok":true,"ver":true,"cert":["(1) containment, exact, 768 vertex/face tests: ok;  min wall gap ~ 1.000000357472e-07","(2) separation, exact, 66 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[1.3510482,-0.1311689,-0.273078,0.1697816,-0.8154908,-0.4271991,0.3516388],[-1.3667195,0.096329,0.2457583,0.3647052,0.1159169,0.8804762,-0.2798481],[-0.0,0.0,1.4142137,0.2705981,0.6532815,0.6532815,-0.2705981],[-0.0,-1.4142137,0.0,0.6532815,0.2705981,0.2705981,-0.6532815],[-0.4047942,0.6580073,0.6580073,0.4247082,0.1759199,-0.3398511,0.8204732],[0.7689934,0.3728746,0.3728746,0.2798481,0.1159169,0.3647052,-0.8804762],[-0.0128745,-0.7517007,0.7517008,0.1513256,0.3653323,0.8485786,-0.3514928],[0.3865042,-0.6843955,-0.6843954,0.3398511,0.8204732,-0.1759199,-0.4247082],[-0.7457493,-0.3844967,-0.3844967,0.8804762,-0.3647052,-0.2798481,0.1159169],[0.0133331,0.809057,-0.809057,0.1504519,0.3632229,-0.8494837,0.3518677],[-0.0,0.0,-1.4142137,0.2705981,-0.6532815,-0.6532815,-0.2705981],[-0.0,1.4142137,0.0,0.6532815,0.2705981,0.6532815,0.2705981]]},{"n":13,"s":"3.79737+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.7973743487276,"st":3.797373821506,"cf":null,"den":0.5036,"vlb":3.02123,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n13.json","ok":true,"ver":true,"cert":["(1) containment, exact, 832 vertex/face tests: ok;  min wall gap ~ 1.000000021594e-07","(2) separation, exact, 78 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[1.3156077,-0.1726384,-0.3308774,0.1498712,-0.798381,-0.4345843,0.3889252],[-1.397691,0.1451,0.2763326,0.3569226,0.0918159,0.8833148,-0.2897087],[-0.0136219,0.003195,1.4484661,0.2558753,0.6652991,0.6427327,-0.2807127],[-0.0080979,-1.4642683,0.0017899,0.6560702,0.2722588,0.2681023,-0.6508211],[-0.3761436,0.7298315,0.7131485,0.430336,0.1616656,-0.3670106,0.8086893],[0.8211402,0.4139758,0.4071644,0.3262707,0.1351458,0.3580255,-0.8643499],[0.1174833,-0.8474494,0.8430748,0.1751518,0.4289919,0.8182467,-0.3402354],[0.3598535,-0.7330223,-0.7262478,0.3577196,0.8128418,-0.1665863,-0.4284552],[-0.8211402,-0.417461,-0.4036791,0.8643499,-0.3580255,-0.3262707,0.1351458],[0.1195567,0.8402147,-0.8593027,0.1759188,0.4247237,-0.820467,0.3398475],[-0.0093146,0.0097307,-1.4620421,0.2853874,-0.6487696,-0.6563952,-0.2584518],[0.0131516,1.4458232,0.0056127,0.6494821,0.3027475,0.6515753,0.248931],[-0.0,0.0014443,-0.0014443,0.4838705,-0.5156252,0.022454,-0.7067502]]},{"n":14,"s":"3.91512+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.9151271782005,"st":3.915126657232,"cf":null,"den":0.4949,"vlb":3.09679,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n14.json","ok":true,"ver":true,"cert":["(1) containment, exact, 896 vertex/face tests: ok;  min wall gap ~ 1.000000067745e-07","(2) separation, exact, 91 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-1.5348176,-0.0271814,0.0070168,0.6486031,0.259491,0.6577723,-0.2816274],[0.0055,-0.0031972,1.5559498,0.2756325,-0.6553507,-0.6511733,0.2655474],[-0.2519707,1.5139492,-0.1196931,0.5497698,0.0590715,-0.6925103,0.4633501],[0.1949539,0.0168853,-1.534742,0.3593695,-0.1315302,0.8675946,0.317542],[-0.2077096,-1.5607046,0.0012052,0.3534285,0.3542807,0.1467479,-0.8532518],[-0.6835762,0.5667245,0.6353123,0.3694078,0.2858681,-0.1009328,0.8784246],[0.818926,0.0752274,0.9551621,0.4726554,0.0376672,0.5259248,-0.7061028],[0.9229403,0.0551142,-0.8485147,0.3199947,-0.866693,-0.1325461,-0.358996],[0.691865,-0.7735088,0.2334869,0.3075831,0.8711751,0.1274051,-0.3608525],[-0.9129558,-0.8517371,0.1252681,0.8235211,0.1734593,-0.4187677,0.3411136],[-0.6751885,0.4935093,-0.7169151,0.7163839,0.5314486,-0.4479088,-0.0611079],[0.6223117,0.8978019,0.3291988,0.1626067,0.3496547,-0.3995322,0.8316698],[-0.138031,-0.7374235,-0.8380757,0.4145291,-0.3344516,-0.0921459,-0.8413185],[1.5264751,0.0808601,0.2484975,0.4018567,-0.344586,-0.1664545,0.8319042]]},{"n":15,"s":"3.96266+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.9626634104805,"st":3.962662900755,"cf":null,"den":0.5114,"vlb":3.16883,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n15.json","ok":true,"ver":true,"cert":["(1) containment, exact, 960 vertex/face tests: ok;  min wall gap ~ 1.000000277989e-07","(2) separation, exact, 105 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[1.5801021,0.0581086,0.1732569,0.5509189,-0.6673856,-0.4943395,-0.0819351],[-1.5792996,-0.0169438,-0.0096982,0.6594397,0.2858237,0.6467649,-0.255224],[0.0956845,-0.060798,1.510686,0.0610547,-0.5414321,-0.7376689,0.3987081],[-0.2197168,1.5674039,-0.0888062,0.5460539,0.0719572,-0.6821467,0.4809607],[0.2073072,0.0597593,-1.5753487,0.3869674,-0.1061772,0.8626762,0.3078511],[-0.2240712,-1.5758328,-0.0402751,0.3582147,0.3296281,0.1410206,-0.8620561],[-0.6686066,0.4897887,0.4610765,0.3245548,0.4715454,-0.2660951,0.775566],[0.8741502,0.0488472,0.8908805,0.5048174,0.0691169,0.541334,-0.6688346],[-0.253211,-0.5375474,0.6672036,0.0501717,-0.5613244,-0.7226473,0.4002232],[0.9209275,0.0931066,-0.8686553,0.2871658,-0.8697807,-0.0969076,-0.3893922],[0.6950476,-0.8477982,0.1407158,0.2821203,0.8817502,0.1092435,-0.3619263],[-0.9552778,-0.8471169,-0.0329466,0.8613243,0.1390777,-0.3336711,0.3569894],[-0.6491508,0.5447189,-0.7421308,0.5169937,0.0750651,-0.7220753,0.4535307],[0.6341284,0.9039454,0.3662553,0.1617876,0.3573147,-0.4124875,0.8221953],[-0.2217449,-0.7543888,-0.8592053,0.3535031,-0.373781,-0.1524472,-0.8438502]]},{"n":16,"s":"4.00052+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.0005233287188,"st":4.000522820924,"cf":null,"den":0.5301,"vlb":3.23774,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n16.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1024 vertex/face tests: ok;  min wall gap ~ 1.000000242094e-07","(2) separation, exact, 120 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[1.6211166,0.0,0.2065323,0.4995935,-0.7071065,-0.5004062,0.0005747],[-1.5834745,-0.1708765,0.0602899,0.5466361,0.0689846,0.7239421,-0.415136],[-0.2076397,1.6211585,0.0010654,0.4996232,-0.0005327,-0.7071066,0.5003765],[-0.1916259,-1.6091554,-0.0288055,0.360649,0.3396617,0.1780124,-0.8502199],[-0.5768764,0.5240029,0.5163193,0.2697114,0.6352386,-0.2918761,0.6622205],[0.9145845,-0.0011494,0.9142138,0.5004062,-0.0005747,0.4995935,-0.7071065],[-0.3529752,-0.6534035,0.8548367,0.1408087,-0.357285,-0.8609653,0.3335552],[0.9266888,0.0138436,-0.898103,0.3436569,-0.8563039,-0.1392061,-0.3595349],[0.786865,-0.8293935,0.2136892,0.3541856,0.8533632,0.1468821,-0.3531988],[-0.8995917,-0.9024524,0.0083306,0.8409883,0.1874402,-0.3619152,0.3558402],[-0.6955817,0.0083546,-0.6841074,0.8237669,0.2333267,-0.4268915,0.2910846],[0.7649469,0.8284303,0.2342715,0.7064542,0.5003794,0.001035,0.5005416],[-0.0801587,-0.7769879,-0.7982737,0.3656737,-0.3586294,-0.0738535,-0.8556946],[0.0155507,0.8759418,-0.7989707,0.2786637,-0.2699175,0.2918997,0.8742343],[0.1593845,0.011505,1.5732276,0.8194526,0.4266741,0.3394284,-0.1767342],[0.1970363,0.0300611,-1.5990747,0.5254761,-0.0393738,-0.4859068,0.6972942]]},{"n":17,"s":"4.04396+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.0439660711988,"st":4.043965528126,"cf":null,"den":0.5453,"vlb":3.30384,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n17.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1088 vertex/face tests: ok;  min wall gap ~ 1.000000070309e-07","(2) separation, exact, 136 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005580e-07"],"p":[[-0.0174541,-0.2086738,1.643815,0.0015301,-0.7020054,-0.5097577,-0.497326],[0.8637749,0.0623576,-0.7559889,0.3895266,-0.8644789,0.3146181,-0.044279],[-1.6207463,0.0705583,-0.1988411,0.8619573,-0.1786124,-0.3084014,0.3605771],[-0.0064525,-0.9285105,0.9310468,0.8551577,-0.3542179,-0.1448319,-0.3496552],[0.0004428,-1.6521876,0.2073282,0.3535992,-0.853664,-0.1463359,0.3532861],[0.2093315,1.6502039,0.0044435,0.1475568,0.8524383,0.3530915,-0.3562336],[-0.7565845,-0.7547249,-0.1344377,0.3374026,0.2552883,-0.236171,-0.8747632],[-0.8716632,0.7947452,-0.0542343,0.3468097,-0.3238059,0.8365598,-0.273935],[-0.1959499,-0.0673572,-1.6225044,0.4707576,-0.7365399,-0.4844101,-0.0352593],[-0.128723,0.7507887,-0.7546874,0.2328305,0.2587684,-0.3358781,0.8752227],[0.0569919,0.8664772,0.7562215,0.8920199,0.1877999,-0.3300955,0.245089],[1.6494137,0.2068973,-0.0004723,0.852953,0.3527453,-0.1438633,-0.3568548],[0.9164383,0.9430971,0.0044435,0.8524383,-0.1475568,0.3562336,0.3530915],[0.7661965,-0.1075186,0.7426331,0.8778349,0.3234192,-0.3527474,-0.0193676],[0.7595643,-0.8634606,0.0477593,0.3328939,0.204194,-0.8855544,-0.251555],[-0.7703951,-0.0688517,0.8567227,0.245292,-0.3136233,0.3842569,-0.8329579],[-0.0470938,-0.7897666,-0.8752407,0.0192271,0.3963016,-0.7874574,-0.4716845]]},{"n":18,"s":"4.04898+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.0489886039907,"st":4.048988042691,"cf":null,"den":0.5752,"vlb":3.36739,"move":"reinsert","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n18.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1152 vertex/face tests: ok;  min wall gap ~ 1.000000188251e-07","(2) separation, exact, 153 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999917021e-08"],"p":[[-0.0085924,-0.202672,1.6488255,0.0073333,0.6987356,0.5088884,0.5027399],[-0.9264607,-0.0159362,-0.9368604,0.142453,0.8574835,0.343912,0.3551813],[0.8578851,0.0776939,-0.7800444,0.4062037,-0.8590871,0.3065904,-0.0544995],[-1.6540917,-0.0034837,-0.2077431,0.8543562,-0.1446839,-0.3549383,0.3509428],[0.0159362,-0.9368604,0.9264607,0.8495149,-0.3518806,-0.1504216,-0.3631499],[0.0246706,-1.6441447,0.2195312,0.3560547,-0.859592,-0.1402557,0.3386073],[0.2026769,1.6489708,0.0082761,0.1390106,0.8496457,0.3647454,-0.354597],[-0.7563932,-0.7643315,0.1365539,0.3805265,-0.0219736,-0.3392797,-0.8600035],[-0.8651941,0.7649626,-0.0348079,0.3666778,-0.2896992,0.8462964,-0.2557423],[-0.2195312,-0.0246706,-1.6441447,0.5086476,-0.7069991,-0.4912002,-0.0123372],[-0.0776939,-0.7800443,-0.8578851,0.1782552,0.8946957,0.3202369,0.2553292],[-0.1365539,0.7563932,-0.7643316,0.2243693,0.2554447,-0.3390415,0.8771872],[0.0348079,0.8651941,0.7649626,0.8792079,0.2228309,-0.3337664,0.2567878],[1.6441447,0.2195313,-0.0246706,0.8472549,0.3683919,-0.1525929,-0.3509445],[0.9368604,0.9264607,-0.0159362,0.8574835,-0.142453,0.343912,0.3551813],[0.7643316,0.1365539,0.7563932,0.8771872,0.2243693,-0.3390415,0.2554447],[0.7800444,-0.8578851,0.0776939,0.3202369,0.1782552,-0.8946957,-0.2553292],[-0.7649626,-0.0348078,0.8651941,0.2557423,-0.2896992,0.3666778,-0.8462964]]},{"n":19,"s":"4.10658+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.1065805932803,"st":4.106580061553,"cf":null,"den":0.582,"vlb":3.42862,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n19.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1216 vertex/face tests: ok;  min wall gap ~ 1.000000136972e-07","(2) separation, exact, 171 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[0.0064134,-0.2103195,1.6935124,0.0032067,0.7070995,0.4977274,0.5022624],[-0.9590919,-0.0698687,-0.9422822,0.1317399,0.8734509,0.3062468,0.3548816],[0.7593482,0.2158322,-0.9164167,0.3671367,-0.8794404,0.246768,-0.1757864],[0.0064134,-0.9174264,0.9864056,0.8519413,-0.3528856,-0.1480485,-0.3574206],[0.2236813,1.6811881,-0.0328331,0.1381966,0.8615337,0.3568589,-0.3336362],[-0.7778273,-0.8344422,0.1444855,0.3491804,-0.1055425,-0.3419776,-0.8660168],[-0.9597099,0.6798387,0.0390094,0.4025455,-0.2401774,0.8374499,-0.2809796],[-0.257199,-0.1103751,-1.6539559,0.5382948,-0.709421,-0.4514994,-0.0557566],[0.1064953,0.8695164,0.7454832,0.8401995,0.1747328,-0.3738023,0.3518596],[1.6408964,0.2588751,-0.0312932,0.8445748,0.3780362,-0.1495792,-0.3484366],[0.9341569,0.97745,-0.0882357,0.8739861,-0.124058,0.2995025,0.3620169],[1.0364423,-0.862899,-0.0576679,0.1414145,0.3606081,-0.8647953,-0.3195197],[-0.7964302,-0.1563695,0.8803389,0.1783273,-0.3354924,0.3676787,-0.8487971],[0.1213862,-0.042057,-0.0118137,0.3568218,-0.8518957,0.3096603,-0.22597],[0.8506296,0.196717,0.8210904,0.5152987,-0.6957401,-0.0257142,0.4997517],[0.1090907,-1.654067,0.2518968,0.1640122,-0.4296236,-0.3381519,0.8210827],[-0.1078794,-0.873473,-0.8667262,0.2654592,0.2487828,-0.1459675,-0.919963],[-0.2434453,0.8710586,-0.8597082,0.8699209,0.1227859,-0.3580782,-0.3161348],[-1.660595,-0.0555625,-0.2297565,0.7107773,0.5244689,-0.03439,0.4674884]]},{"n":20,"s":"4.32269+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.322696938093,"st":4.322696356082,"cf":null,"den":0.5253,"vlb":3.48775,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n20.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1280 vertex/face tests: ok;  min wall gap ~ 1.000000247222e-07","(2) separation, exact, 190 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000004470e-07"],"p":[[1.778722,-0.1726963,-0.2212498,0.2204882,-0.8443086,-0.4052524,0.2725775],[-1.7823706,0.0712046,-0.1458122,0.3795109,0.1725921,0.9064316,0.0675667],[-0.0,-0.0,1.8495013,0.0,0.3826834,0.9238795,-0.0],[0.1195732,1.8020071,-0.2690024,0.7045563,0.060003,-0.455768,0.5406251],[0.2639352,-0.1117063,-1.8027327,0.0581423,-0.4584647,-0.703945,-0.5393432],[-0.1006871,-1.6933383,-0.1993338,0.3630364,0.3455218,0.2724344,-0.8213396],[-0.1324274,1.2136975,0.6838326,0.4919606,0.0298512,-0.4112186,0.7668005],[1.1783878,0.2291076,0.7830873,0.6177371,-0.4596409,-0.0074259,-0.6380251],[0.0201512,-1.1284008,0.7274134,0.0879491,-0.5491405,-0.7623247,0.3310145],[0.9721204,-0.113868,-1.0967092,0.422486,-0.8219478,-0.1735808,-0.3402604],[0.2666596,-0.9308114,-0.9873858,0.1167443,0.8795927,-0.2829251,-0.3641988],[-0.9450941,-1.0616865,-0.1825276,0.867092,0.1913981,-0.2480916,0.387258],[-0.6850757,0.0925551,-1.1349885,0.8321312,-0.1121085,-0.4482603,-0.3066792],[0.9048751,0.8942013,-0.2979221,0.4145582,0.5431786,0.0288597,0.7295654],[0.1195732,1.0949003,-0.9761093,0.8204732,0.3398511,0.4247082,0.1759199],[-0.0753458,-0.1723623,-0.3477729,0.1754518,-0.3401781,0.8210726,-0.42348],[1.0331647,-1.0097066,0.0478007,0.0243959,-0.4604656,-0.5192224,0.7195723],[-1.1971016,-0.2272077,0.7662734,0.8527549,0.2479601,0.4028896,0.2213703],[-0.9665262,0.907542,-0.1245089,0.7937247,-0.2514671,-0.2354323,0.5013353],[-0.0144312,0.01508,0.8495012,0.0,0.1119289,-0.9937162,0.0]]},{"n":21,"s":"4.47061+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.470616060091,"st":4.470615485578,"cf":null,"den":0.4986,"vlb":3.54494,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n21.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1344 vertex/face tests: ok;  min wall gap ~ 1.000000072873e-07","(2) separation, exact, 210 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[1.9540959,0.0,-0.0,0.2705981,-0.6532815,-0.2705981,-0.6532815],[-0.8464753,-0.0174876,1.1074864,0.299109,0.6359257,-0.1437354,0.6967585],[-1.9097277,0.0196688,0.048422,0.9071155,-0.4146668,-0.0203273,0.0691349],[0.006427,0.885373,0.0151027,0.058837,0.6743708,0.0568119,-0.7338492],[-0.8929427,-0.0354798,-1.0774804,0.4438643,0.0301329,0.1448569,-0.8837947],[0.2591795,-0.9332057,1.0925279,0.818228,-0.1673165,-0.3472666,0.4265138],[0.1583595,-0.1028188,-0.0512676,0.7624747,0.0110473,-0.006732,-0.6468887],[0.2690024,-0.1195732,1.9066018,0.3647052,0.2798481,0.8804762,0.1159169],[-0.8640876,-0.2396844,-0.0654323,0.0226318,0.0678801,-0.9829302,-0.1694942],[1.2470298,-0.7071476,0.0024056,0.923864,-0.0053656,-0.0022225,0.382677],[-0.6294931,-1.3069724,-0.0018778,0.6817813,-0.5144883,0.2552353,0.4531346],[0.9500257,0.07681,-1.2155656,0.4729147,-0.0402065,-0.5274149,-0.7046763],[-1.015311,0.922041,0.033072,0.0024764,0.0919241,-0.8968359,0.4326999],[-0.0550649,0.7627114,-1.1273741,0.5291362,0.3165142,0.7515618,-0.2344961],[0.0631701,-1.070531,-1.0946702,0.3597478,-0.8685081,-0.3150351,-0.1304918],[1.2502063,0.7103241,-0.0213556,0.3039634,0.6663802,-0.236511,0.6384405],[0.9617008,0.0091947,1.1654041,0.3539807,-0.8474441,0.1425066,0.3690908],[0.6506364,-1.5249678,0.1195732,0.7045563,-0.455768,0.5406251,0.060003],[-0.087929,0.823669,1.1074665,0.6745328,-0.6270116,0.3338062,-0.2010855],[0.2339972,-0.0757406,-1.9129874,0.3448379,0.4099035,-0.8274315,-0.1685912],[0.0346529,1.9038614,-0.0499539,0.0268306,0.9331333,0.0772625,-0.3501041]]},{"n":22,"s":"4.59310+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.5931092536934,"st":4.593108671908,"cf":null,"den":0.4816,"vlb":3.60034,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n22.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1408 vertex/face tests: ok;  min wall gap ~ 1.000000365164e-07","(2) separation, exact, 231 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-0.2538362,-0.7497616,-1.3781953,0.4807602,-0.4492777,-0.0973368,-0.7466892],[0.1180103,-1.9922737,0.2683822,0.3396068,0.8205721,-0.4254355,0.1741644],[-0.817861,1.444359,0.1195732,0.1759199,-0.3398511,0.8204732,-0.4247082],[1.88513,0.1700283,-0.3266348,0.1730254,0.8181413,-0.4258956,-0.3454272],[0.2074044,1.1322255,-1.0421633,0.3325879,-0.8878298,0.0208173,-0.3173486],[0.8271519,-0.9866916,-0.5679497,0.4394741,0.1348605,-0.4161099,0.7845557],[1.0638718,0.1625406,-1.1553807,0.2935158,0.1993561,0.8381668,-0.4142246],[-1.5331754,-0.5450868,0.0299116,0.3463708,-0.3150697,-0.4601618,-0.7543272],[1.0420251,1.0433514,-0.2964166,0.4114508,0.8421145,-0.2050198,0.28199],[-0.4358003,-1.1791818,-0.4544888,0.9364993,0.3388647,-0.0412382,-0.0802447],[0.0,2.0407117,0.0,0.6532815,0.6532815,0.2705981,0.2705981],[0.3930194,1.1049333,0.8838404,0.7952038,0.4357842,0.3953809,-0.1463453],[-0.4980616,-0.5871536,0.4597219,0.8175865,-0.3715733,0.2072553,0.387983],[-1.5249678,0.7372521,0.1195732,0.3398511,0.1759199,-0.4247082,-0.8204732],[-0.2611665,0.530169,-0.3807397,0.7045563,-0.5406251,0.060003,0.455768],[-1.2229929,-0.1218009,-1.0369992,0.7030746,0.5425507,-0.0587558,0.4559305],[-0.8597356,0.5859877,0.9360698,0.5406251,0.7045563,-0.060003,-0.455768],[0.3410155,-1.0139558,0.8133401,0.864278,0.3837234,-0.3066181,-0.1084673],[0.0413627,0.0777333,-1.9872971,0.203665,0.6771415,-0.3347984,-0.6228242],[0.5668128,0.1440429,1.3314364,0.0637272,0.4990119,0.8384148,-0.2097297],[-0.3891502,-0.0569202,1.6484936,0.0344185,0.2589806,-0.8580512,0.4421454],[0.6367858,-0.0886138,0.1040818,0.8427239,-0.0817725,0.4225302,-0.3234161]]},{"n":23,"s":"4.62576+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.6257661929036,"st":4.625765607852,"cf":null,"den":0.4929,"vlb":3.65408,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n23.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1472 vertex/face tests: ok;  min wall gap ~ 1.000000119024e-07","(2) separation, exact, 253 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[-0.2444007,-0.7432229,-1.4172615,0.393372,-0.4354134,-0.1474451,-0.7961995],[0.8558835,-1.3532812,-0.1957204,0.6722243,-0.5803358,0.4584688,-0.0336335],[0.1479892,-2.0363967,0.0608297,0.1335309,0.9074586,-0.3278316,0.2263067],[-0.817861,1.4674509,0.1195732,0.1759199,-0.3398511,0.8204732,-0.4247082],[1.5249678,0.7603441,0.1195732,0.4247082,0.8204732,-0.3398511,-0.1759199],[0.1195732,0.9761093,-1.3092026,0.3647052,-0.8804762,0.1159169,-0.2798481],[1.5102006,-0.6031515,-0.291533,0.4584688,-0.0336335,-0.6722243,0.5803358],[0.9563359,0.0749536,-1.1251532,0.2472483,0.2217064,0.8529616,-0.4027048],[-1.5853746,-0.508134,0.0207,0.338049,-0.3162345,-0.4619132,-0.7565414],[0.7060092,1.3555992,-0.3432767,0.2798481,0.8804762,-0.3647052,-0.1159169],[-0.4571834,-1.1502576,-0.5140157,0.9397175,0.2839421,-0.1212445,-0.1469953],[-0.0,2.0638037,0.0,0.6532815,0.6532815,0.2705981,0.2705981],[0.4227892,1.1059195,0.8761764,0.7466105,0.4492936,0.4808824,-0.0972632],[-0.6656657,-0.5960162,0.5854196,0.8028236,-0.3898612,0.2564921,0.3710718],[-1.5249678,0.7603441,0.1195732,0.3398511,0.1759199,-0.4247082,-0.8204732],[-0.2842585,0.5532609,-0.4038317,0.7045563,-0.5406251,0.060003,0.455768],[-1.247074,-0.1195732,-1.0382379,0.7045563,0.5406251,-0.060003,0.455768],[-0.7885804,0.6486124,0.9676923,0.511724,0.7258193,-0.0783644,-0.4529723],[0.2034662,-1.188369,1.0130499,0.8143455,0.3542831,-0.4277478,-0.1683945],[0.1195732,0.2690024,-2.0163095,0.060003,0.7045563,-0.455768,-0.5406251],[0.5775817,-0.2437943,0.1485419,0.2798481,0.3647052,0.1159169,0.8804762],[0.6267093,0.069538,1.3899838,0.0552281,0.5117306,0.8211572,-0.2465411],[-0.3395282,-0.1167354,1.664312,0.0952934,0.2389391,-0.8912214,0.3735662]]},{"n":24,"s":"4.70710+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.7071073261481,"st":4.707106781199,"cf":null,"den":0.4882,"vlb":3.70629,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n24.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1536 vertex/face tests: ok;  min wall gap ~ 1.000000129280e-07","(2) separation, exact, 276 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-0.3257369,-0.6627228,-1.4608205,0.386203,-0.4288512,-0.1494205,-0.8028745],[0.5727642,-1.2839158,-0.5213214,0.5942952,-0.0740957,0.6767309,0.4282036],[-0.4337727,0.0124412,1.6905499,0.5985701,-0.198296,-0.6343709,0.4471757],[-0.1189992,-2.0709743,0.2697654,0.3645081,0.8806527,-0.2796362,0.115708],[-0.7806456,1.4876987,0.0105745,0.1543155,-0.3501935,0.8454247,-0.3725698],[1.4522006,0.7450937,-0.0682974,0.3929788,0.8361346,-0.3463385,-0.1627767],[-0.1374341,0.9648489,-1.3087981,0.3047466,-0.8195125,0.1999902,-0.4421908],[1.5000374,-0.8237154,-0.1366748,0.4544231,-0.0699537,-0.716237,0.5249863],[0.8800138,0.0225542,-1.0671978,0.0718359,0.3253178,0.6844681,-0.6484684],[-1.6444537,-0.4290709,0.05146,0.3087881,-0.4150129,-0.4350362,-0.7369923],[0.6797668,1.3868733,-0.3411546,0.2802174,0.8803588,-0.3646567,-0.1160694],[-0.6929528,-1.1632542,-0.4491525,0.8991119,0.3626514,0.1451286,-0.1975334],[-1.8e-05,2.1213026,-2e-07,0.6532817,0.6532812,0.2705979,0.2705982],[0.4230235,1.1576626,0.8514701,0.7259266,0.4415284,0.5235617,-0.0629798],[-0.9224632,-0.7368795,0.7790435,0.8271123,-0.3236875,0.1717105,0.4261774],[-1.524013,0.8168392,0.1203392,0.3398404,0.1759625,-0.4248403,-0.8204002],[-0.0580981,0.3312021,-0.2543691,0.4289257,-0.2284763,0.1447886,0.8618919],[-1.2371702,0.0739237,-0.9951501,0.7639316,0.490905,0.032119,0.4175993],[-0.8168146,0.7057036,0.9373215,0.5399349,0.7051806,-0.0603782,-0.4555713],[-0.0864544,-1.3444906,0.9623114,0.8791231,0.3678147,-0.2803567,-0.1151305],[0.5381383,-0.4091057,0.5670563,0.080462,0.1959579,0.9483562,-0.2361079],[0.6086224,0.0110083,1.4842182,0.43274,-0.6965011,0.270433,-0.5044682],[0.1150716,0.2554253,-2.0654968,0.0707663,0.703547,-0.4473318,-0.5476386],[2.1211645,-0.0001561,2e-07,0.6532812,-0.6532817,-0.2705982,0.2705979]]},{"n":25,"s":"4.70710+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.7071074025196,"st":4.707106781199,"cf":null,"den":0.5085,"vlb":3.75707,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n25.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1600 vertex/face tests: ok;  min wall gap ~ 1.000000390803e-07","(2) separation, exact, 300 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000006135e-07"],"p":[[-0.2550793,-0.9104643,-1.2968584,0.3728012,-0.4314844,-0.158575,-0.8060362],[0.817861,-1.5249678,-0.1195732,0.5406251,-0.060003,0.7045563,0.455768],[-0.4517891,0.0260612,1.6964547,0.5973746,-0.1894224,-0.6276527,0.4618601],[-0.0,-2.1213206,0.0,0.0,-0.9238795,0.3826834,-0.0],[-0.8080896,1.5151965,-0.0121824,0.1420374,-0.3553477,0.8578852,-0.3429087],[1.5249624,0.8178556,0.1195706,0.4247146,0.8204699,-0.3398498,-0.1759225],[-0.2311449,1.1286902,-1.0997482,0.7513929,-0.4729048,-0.1003811,-0.4491029],[1.1930863,-0.4859795,-0.5446911,0.5404088,0.0596688,-0.7045847,0.4560244],[0.6567196,-0.1212706,-1.4411879,0.0454586,-0.4225681,-0.5318668,0.732453],[-1.702906,-0.5285799,-0.2309161,0.1986206,-0.3895237,-0.2441233,-0.8655778],[0.7980217,1.5051286,0.0798947,0.4247082,0.8204732,-0.3398511,-0.1759199],[-0.6663393,-1.3185376,-0.4775251,0.8844484,0.294389,-0.0801629,-0.3530722],[-0.0,2.1213205,0.0,0.6532815,0.6532815,0.2705981,0.2705981],[0.3925292,1.1244413,0.9454314,0.7196714,0.4538737,0.5203347,-0.0729623],[-0.9435471,-0.7095646,0.7837862,0.7917636,-0.4167138,0.1294162,0.4274477],[-1.5249678,0.817861,0.1195732,0.3398511,0.1759199,-0.4247082,-0.8204732],[0.4096922,0.4406316,-0.6293316,0.406194,-0.2778104,0.1185098,0.8624287],[-1.0106507,0.1713155,-1.2804358,0.7397757,0.4506167,0.0909367,0.4913319],[-0.8259604,0.6791373,0.9573042,0.5215986,0.7187559,-0.0721646,-0.4540013],[0.0163717,-1.2217993,0.9997327,0.8540525,0.4120438,-0.3062067,-0.0839741],[0.711423,-0.2764639,0.5185437,0.0162168,-0.0184129,0.9714611,-0.2359263],[0.5863029,0.0493976,1.4708582,0.4415997,-0.7029067,0.2758503,-0.4845808],[-0.0486867,0.2326869,-2.0838651,0.0247915,-0.7181188,0.5192675,0.4626576],[2.1213206,-0.0,0.0,0.6532815,-0.6532815,-0.2705981,0.2705981],[-0.540551,-0.0049925,-0.1395053,0.9329051,0.2333956,0.1835732,0.2037536]]},{"n":26,"s":"4.74530+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.7453002932586,"st":4.745299662433,"cf":null,"den":0.5162,"vlb":3.80651,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n26.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1664 vertex/face tests: ok;  min wall gap ~ 1.000000083129e-07","(2) separation, exact, 325 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003602e-07"],"p":[[1.4528299,0.7029942,-0.0212242,0.1451324,-0.8832017,-0.0267026,0.4451722],[-2.1207007,0.0263866,-0.0122393,0.040399,0.3823174,0.9229958,-0.0167338],[0.1195732,0.2690024,2.1008328,0.060003,0.7045563,0.5406251,-0.455768],[-0.5014369,1.0155896,-0.9723819,0.5077678,0.0808274,-0.7285925,0.4525393],[0.0216485,-2.1160465,-0.0388931,0.3044173,-0.6382242,0.2360371,-0.6665482],[-0.7226593,0.805928,0.9608211,0.3509651,0.2968979,-0.0738573,0.8849973],[1.0729511,0.0074647,1.0761602,0.9237294,-0.0166524,0.3826213,0.0068976],[0.8889995,0.2654898,-1.3349192,0.329426,-0.8879925,0.0120161,-0.3206296],[-0.1195732,-0.8092806,-1.5605547,0.3647052,0.8804762,-0.1159169,-0.2798481],[-1.449745,-0.7442517,0.0152812,0.8048326,0.1320612,-0.4433323,0.3718345],[1.741114,-0.4029945,0.1007373,0.2372156,0.2523676,-0.7591963,0.5510538],[-1.4584885,0.7783882,-0.0990769,0.1043077,-0.3681936,0.8888979,-0.251821],[-0.5823573,-1.2170821,0.689969,0.0686644,-0.3492174,-0.8854153,0.2989516],[-0.8003238,1.5344371,0.0216698,0.8642164,0.3266243,0.1352922,0.3579701],[0.5489701,1.2518653,0.688573,0.4465498,0.7591275,-0.4608693,-0.1091701],[-0.1195732,-1.5163875,-0.8534478,0.4247082,0.1759199,0.3398511,-0.8204732],[0.0,2.148327,-0.0,0.0,-0.9238795,0.3826834,-0.0],[0.7655141,1.0287036,-0.6951907,0.1249765,0.4423864,-0.7750321,0.4335901],[-1.1907594,-0.1144658,-1.1739553,0.5417434,-0.7006986,-0.4600637,-0.0622649],[-0.0299116,0.4432232,-1.7426543,0.1627333,-0.2765242,0.1314321,0.9379647],[-0.251966,-0.735647,1.5017953,0.73246,0.5021728,0.451907,0.084291],[0.7394838,-1.2135125,0.5364121,0.3057783,0.0511952,-0.886597,-0.3432557],[-1.1990691,-0.3682593,0.9220799,0.4583247,0.6746363,-0.0355433,0.5775301],[0.6710425,-0.7454797,-0.6738281,0.4628618,-0.6066052,-0.018516,0.6461008],[0.1476593,-0.0408993,0.5832852,0.7141415,-0.5836438,-0.310695,-0.2298488],[-0.3225202,-0.2395308,-0.3484412,0.4419103,0.0635519,-0.5362133,0.7163461]]},{"n":27,"s":"4.81053+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.810537067519,"st":4.810536448806,"cf":null,"den":0.5145,"vlb":3.85469,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n27.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1728 vertex/face tests: ok;  min wall gap ~ 1.000000226710e-07","(2) separation, exact, 351 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[1.4467078,0.7480205,-0.0054847,0.0175795,-0.9200754,-0.0067075,0.3912893],[-2.1733212,0.0183015,-0.010157,0.0408422,0.3872145,0.9210355,-0.0095134],[0.0006989,0.001658,2.191534,0.2676906,0.6541113,0.6522456,-0.273963],[-0.0465967,-2.1367948,-0.0886101,0.194892,-0.6797184,0.3428241,-0.6184429],[-0.4367339,0.6698999,1.4281951,0.426509,0.170531,-0.3500031,0.8163988],[0.9461002,0.0490727,-1.2589382,0.2863508,-0.9389188,-0.1184201,-0.1497041],[0.0779906,-0.7916544,-1.571897,0.3408415,0.8228642,-0.1739933,-0.420057],[-1.5688125,-0.7917822,0.0091892,0.8442889,0.1133708,-0.3787163,0.3617973],[-0.4481758,-0.2454323,-0.373742,0.4709462,0.7514317,-0.4612822,-0.0279077],[1.767184,-0.5586559,0.2096979,0.2274438,-0.3974664,0.8584547,-0.230966],[0.8974135,-0.810674,-0.6279524,0.8335534,-0.4522573,-0.3139701,0.045551],[-1.2332637,-0.2360645,1.0465253,0.2693055,-0.4037538,-0.8455788,0.2223822],[-1.5662647,0.8245674,0.1447057,0.1795819,-0.3327514,0.8233782,-0.4231728],[0.7171163,-1.3768372,0.4415842,0.1973333,0.2447022,-0.8658722,0.3891602],[-0.672851,-1.2329593,0.6284351,0.0722002,0.2975205,0.8848539,-0.3511442],[-0.8614044,1.5545602,-0.1195732,0.8204732,0.4247082,0.1759199,0.3398511],[0.5117017,1.3462912,0.6775449,0.4397508,0.7836975,-0.417724,-0.1339556],[0.3755971,-0.1272724,0.5536598,0.0645234,0.8857233,0.3005808,0.3478248],[-0.0394075,2.1521148,-0.0257556,0.022722,0.921896,-0.3830198,0.053734],[0.7867524,0.9689567,-0.7798287,0.0759253,0.4533875,-0.7230548,0.5156229],[-1.327327,0.1069097,-1.0129829,0.4924734,-0.6890087,-0.5228225,0.0969206],[0.0,-0.0,-2.1944564,0.0,0.0,-0.3826834,-0.9238795],[-0.0778371,-0.8116566,1.5892543,0.8315889,0.347669,0.4022217,0.160636],[0.0049906,0.7010611,0.0974351,0.4515081,0.7347986,-0.4987446,-0.0864017],[-0.3443458,0.6670282,-1.4472708,0.866473,-0.3589049,0.1327927,0.3205901],[0.9906216,0.3297896,1.2151266,0.45966,-0.6362823,0.006131,0.619532],[0.1021401,-1.5175431,-0.883572,0.3644219,-0.8797922,-0.2819912,-0.1168046]]},{"n":28,"s":"4.84419+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.844193638032,"st":4.844192997311,"cf":null,"den":0.5225,"vlb":3.90171,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n28.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1792 vertex/face tests: ok;  min wall gap ~ 1.000000298501e-07","(2) separation, exact, 378 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003221e-07"],"p":[[1.4758411,0.8656689,-0.1229359,0.0944645,-0.370841,-0.8952894,0.2280575],[-2.0968453,0.0141443,-0.1233404,0.2223481,-0.6749168,-0.2854081,-0.6431102],[0.0,0.0,-2.2182552,0.2705981,-0.6532815,-0.6532815,-0.2705981],[0.0003694,-2.2176199,-0.0006372,0.6538638,0.2708393,0.2703566,-0.6526986],[0.8489976,-0.1016326,1.3674732,0.6271375,0.1582558,0.5701318,-0.5065604],[0.0157307,-0.9068423,1.5176776,0.1509338,0.3623125,0.8500726,-0.3511767],[1.0874972,0.1218474,-1.349992,0.4559339,-0.7030436,0.5425909,-0.0587298],[-1.038548,0.110222,-1.3590796,0.2641358,-0.8875807,0.1507905,0.3459698],[0.1195732,0.817861,-1.6219024,0.8204732,0.3398511,0.4247082,0.1759199],[-0.4752068,-0.2593054,-0.2458819,0.4027261,0.0962519,-0.034461,0.9095931],[2.1502193,0.1258334,-0.0231653,0.4133033,0.6979467,-0.1134476,0.5737425],[0.7165962,-0.5970231,-0.7077124,0.7045563,-0.455768,-0.5406251,-0.060003],[-1.2027906,-0.1014842,0.9097583,0.0054459,-0.3895831,-0.9208682,-0.0140355],[-1.4201187,0.7346238,-0.3627646,0.06818,-0.3532217,0.8910897,-0.2766678],[-0.6471013,-1.3166941,0.5108538,0.1919213,0.4662621,-0.7975913,0.3310801],[0.6004046,0.8327142,0.8719787,0.3099751,0.8023005,-0.5100252,0.0101842],[0.0,2.2182552,-0.0,0.2705981,-0.2705981,0.6532815,-0.6532815],[0.2039124,0.480379,-0.2430463,0.0854502,0.9286184,0.3601851,0.0251559],[-0.0008357,-0.1387772,2.1638977,0.4369063,0.1801999,0.8138328,0.338108],[1.3738237,-0.4459166,0.306184,0.3484844,-0.0058574,0.2494966,0.9034798],[-1.556199,-0.8514574,-0.1516802,0.726151,0.4529214,0.5112532,-0.0786581],[-0.1195732,-1.5249678,-0.9147956,0.3647052,0.8804762,-0.1159169,-0.2798481],[-0.4978627,1.2985866,0.4723765,0.2329303,0.8921346,0.3763025,0.0907508],[-0.3918017,0.482115,1.4543297,0.4507051,0.7129603,0.049908,-0.5348474],[0.817861,1.6219024,-0.1195732,0.1159169,-0.3647052,-0.8804762,0.2798481],[-0.4885663,1.2477374,-0.6479225,0.1948,0.3096043,-0.7821705,-0.5043882],[0.6322132,-1.2656919,0.4660393,0.3128644,-0.1312278,0.3579846,0.8699093],[-0.1248883,-0.8131849,-1.6172264,0.8807212,0.3648067,0.1155972,-0.2790762]]},{"n":29,"s":"4.89243+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.8924324554277,"st":4.892431820404,"cf":null,"den":0.5253,"vlb":3.94761,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n29.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1856 vertex/face tests: ok;  min wall gap ~ 1.000000029286e-07","(2) separation, exact, 406 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001278e-07"],"p":[[1.5230193,0.9469571,-0.1022214,0.1204388,-0.363237,-0.8769317,0.290765],[-2.2523652,0.0,-0.0,0.2705981,0.2705981,0.6532815,0.6532815],[-0.5840083,1.4221598,-0.5872785,0.5406251,0.060003,-0.7045563,0.455768],[-0.0,0.0,-2.2523652,0.2705981,-0.6532815,-0.6532815,-0.2705981],[0.0108387,-2.2193505,-0.0095866,0.6320441,0.2472129,0.2826909,-0.6778583],[0.9765761,-0.2843194,1.3325511,0.7403705,0.0914827,0.4505061,-0.4904352],[0.0839626,-0.9012544,1.5126702,0.1321517,0.4445407,0.8209995,-0.3329854],[1.0647217,0.0168754,-1.3859654,0.4824216,-0.7137883,0.5076447,-0.0085223],[0.1195732,-0.817861,-1.6560124,0.3398511,0.8204732,-0.1759199,-0.4247082],[-1.6560124,-0.817861,0.1195732,0.8204732,0.1759199,-0.4247082,0.3398511],[-1.2207158,-0.3937443,-0.7635294,0.5307107,-0.7056826,-0.0448557,0.4672752],[0.8116075,1.6497589,-0.0435045,0.4843747,0.7067718,-0.0217626,0.5151516],[-0.5544431,0.0842719,0.1264718,0.3361395,0.6638549,0.1589545,0.6488762],[2.1841524,0.1938764,-0.0920097,0.4125064,0.6977886,-0.1144165,0.5743157],[0.879139,-0.8469878,-0.7291442,0.8514287,-0.3515763,-0.3555143,-0.1583442],[-1.2724292,-0.2543837,1.0666337,0.1530409,-0.3762114,-0.8747878,0.2641777],[-1.571174,0.9026994,-0.1195732,0.1159169,-0.3647052,0.8804762,-0.2798481],[0.5742754,-1.2823821,0.4010844,0.2457288,0.4450886,-0.8039637,0.3084736],[-0.7023308,-1.2914495,0.5996662,0.1962987,0.4156822,-0.8359815,0.2996834],[0.6831281,0.657821,0.7989616,0.3774686,0.8027779,-0.446373,0.1175426],[-0.5549988,-1.1960994,-0.6883564,0.3589531,0.2054555,0.0439841,-0.9093988],[-0.0,2.2523652,-0.0,0.2705981,-0.2705981,0.6532815,-0.6532815],[0.473945,0.0362092,0.0176387,0.2675466,0.7315893,0.5553493,-0.2911755],[0.0796912,-0.1966257,2.2287672,0.4125945,0.2229262,0.8135684,0.3437678],[-0.4453868,0.5964175,1.5516423,0.3669491,-0.4303237,0.1616984,0.8087172],[1.5876044,-0.5144437,0.2982397,0.2991132,-0.1667583,0.3062416,0.8882224],[-0.5109116,1.3490631,0.7334718,0.7045563,-0.5406251,0.455768,-0.060003],[0.5926426,0.7714344,-0.9289864,0.4182726,-0.7531748,0.5064509,0.0358231],[-0.6010407,0.4121086,-1.25026,0.3755502,-0.9066584,0.0735436,-0.17755]]},{"n":30,"s":"4.91981+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.9198158657958,"st":4.919815224415,"cf":null,"den":0.5344,"vlb":3.99248,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n30.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1920 vertex/face tests: ok;  min wall gap ~ 1.000000265170e-07","(2) separation, exact, 435 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003082e-07"],"p":[[-0.7860285,-0.0643327,0.0009312,0.1698137,0.4271864,-0.8155172,0.3515776],[0.9072498,0.0344176,1.5597028,0.4904163,0.7157017,-0.4969499,-0.017429],[-0.1195732,1.6753754,0.817861,0.060003,-0.7045563,-0.455768,0.5406251],[-0.5689934,-0.9634787,1.0803374,0.318835,-0.1866844,-0.4200878,0.8288663],[0.446995,0.8045577,-1.3612569,0.1159169,-0.2798481,-0.3647052,0.8804762],[1.4446376,-0.0263197,-0.8739271,0.9363195,0.2640718,0.1499532,0.1763121],[-1.6009424,0.2851933,-0.4644567,0.18199,-0.4221428,0.3280548,-0.8252607],[0.0024807,-2.2692769,-0.0014481,0.6523315,0.6542235,-0.2683125,-0.2728803],[0.5757752,-1.4283577,-0.26766,0.2208936,-0.7544278,0.3124942,0.5332842],[-1.3349581,-0.3246211,0.9532304,0.1650411,-0.8115474,-0.3606466,-0.4290528],[0.4124783,0.5397387,0.4098591,0.6579179,0.2711649,-0.2758523,0.6461572],[1.5137377,-0.9521065,-0.1469653,0.1759199,0.8204732,-0.3398511,0.4247082],[0.4006894,-0.0627387,-0.3999644,0.0597781,-0.1587635,0.3822429,-0.9083563],[-0.1824541,0.0616267,-2.2611591,0.8951379,0.151673,-0.318604,-0.2724242],[-0.9775236,1.0137478,0.6215382,0.8529013,0.2474562,0.2216083,-0.4027588],[-2.2241999,-0.2542983,0.1083342,0.4235222,-0.3383632,0.8210808,0.1787892],[1.0601337,1.2916273,-0.2610486,0.5776213,-0.4583295,-0.6745582,0.0354814],[-0.7909493,-1.6501366,0.1682346,0.7020885,0.5425145,0.4573555,0.0597969],[-1.5226422,-0.9671001,0.1195783,0.8198507,0.4258985,-0.1730523,-0.3413329],[-0.576956,0.719385,-0.7383296,0.8602666,0.395585,-0.2341739,-0.2204917],[-0.0,2.2717281,0.0,0.9238795,0.3826834,0.0,0.0],[0.6000647,-0.6862877,0.7626136,0.7732515,0.2367385,-0.4776707,-0.3433188],[0.199488,-0.6061712,-1.2643844,0.8234684,-0.3335763,0.1789512,0.4226147],[0.20073,-0.0131565,2.2663738,0.7158828,-0.5068612,-0.0066647,-0.4801657],[-0.8800607,-0.0644307,-1.5526164,0.8670669,0.1796629,-0.3037013,-0.351684],[-0.539327,0.5604622,1.5130204,0.4143277,0.8380148,0.2939494,0.1991418],[2.2209936,-0.2451487,-0.1010242,0.816947,-0.1787133,-0.4314521,-0.3383905],[0.1195732,1.6753754,-0.817861,0.060003,-0.7045563,-0.5406251,-0.455768],[1.6058151,0.4151127,0.5918817,0.5459252,0.4562078,0.7004576,0.0565628],[-0.5493247,-1.0544996,-0.7296411,0.0489009,-0.558382,0.4576129,0.6902236]]},{"n":31,"s":"4.96097+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.9609742791777,"st":4.960973656033,"cf":null,"den":0.5386,"vlb":4.03635,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n31.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1984 vertex/face tests: ok;  min wall gap ~ 1.000000324140e-07","(2) separation, exact, 465 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005025e-07"],"p":[[-0.4601778,-1.3989601,-0.7827751,0.0477055,0.4572188,-0.5594056,-0.6897395],[-0.820137,-0.1956487,-0.1452249,0.1881538,0.4255097,-0.8169944,0.3406756],[0.9586104,-0.1052199,1.5533089,0.536908,0.711632,-0.4499642,0.0533098],[-0.063549,1.6937149,0.8164816,0.0318543,-0.7075143,-0.4774173,0.5200783],[-0.5144711,-0.7317958,1.3956461,0.3398511,-0.1759199,-0.4247082,0.8204732],[0.4582144,0.80387,-1.3760443,0.1411085,-0.2692209,-0.3704751,0.8776996],[1.4144115,0.4094018,-0.8180997,0.7825365,0.419895,0.4401205,0.132736],[-1.6453454,0.1392748,-0.6106548,0.167836,-0.4339256,0.3368082,-0.8185963],[0.0341102,-2.2718649,0.0190988,0.6650754,0.640095,-0.3004637,-0.2401556],[-1.4352752,-0.2383861,0.9042755,0.1717045,-0.8256617,-0.3420003,-0.4145313],[0.2186748,0.3622119,0.7214493,0.4307407,0.3426245,-0.3652488,0.7507757],[1.564252,-0.9445753,0.0298089,0.1389602,0.8608176,-0.3565623,0.3354796],[0.5378517,-0.0975111,-0.1605271,0.3691648,-0.3217405,0.3620743,-0.7931599],[0.1073767,0.2627759,-2.2550186,0.8792918,0.3618394,-0.2855019,-0.1200288],[-1.0138642,0.6634646,0.4864292,0.7439552,-0.1100186,0.4796564,-0.4520578],[-2.2586601,-0.2597998,0.1023043,0.4145313,-0.3420003,0.8256617,0.1717045],[1.0172739,1.3703143,-0.2030244,0.6218835,-0.4406752,-0.6464558,0.0340776],[-0.6576761,-1.4872431,0.4969938,0.7045563,0.5406251,0.455768,0.060003],[-1.5515533,-0.9669066,0.1023043,0.8256617,0.4145313,-0.1717045,-0.3420003],[-0.7577018,1.27065,-0.3680156,0.8855862,0.3570202,-0.2717632,-0.1200769],[0.0022619,2.2955445,0.0039087,0.9234017,0.3837193,0.0020956,-0.0091898],[0.585802,-0.8835219,0.9206163,0.7894498,0.1329898,-0.5271563,-0.2849366],[0.7798592,-0.6434404,-0.996979,0.8331211,-0.3186356,-0.0562954,0.448566],[0.2513215,-0.1052199,2.2605978,0.711632,-0.536908,-0.0533098,-0.4499642],[-0.7774115,0.675049,-1.1894525,0.3614891,-0.8817413,-0.1058654,0.2839903],[-0.4256035,-0.5893985,-1.6269111,0.8766333,0.2688619,-0.1420888,-0.3728782],[-0.1530664,0.6021599,1.6360824,0.2705949,0.8828192,0.3676845,0.1105292],[2.2728784,-0.238988,-0.0626118,0.8370465,-0.1619711,-0.3910328,-0.346716],[0.1212212,1.6977225,-0.8153459,0.0613972,-0.7109996,-0.535069,-0.4521185],[1.5353053,0.540769,0.5658387,0.445493,0.4442615,0.768252,0.118138],[0.8447772,-1.6683181,-0.0717192,0.8704052,0.309755,0.1283047,0.3605336]]},{"n":32,"s":"4.99853+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.9985376330817,"st":4.998537004618,"cf":null,"den":0.5435,"vlb":4.0793,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n32.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2048 vertex/face tests: ok;  min wall gap ~ 1.000000203635e-07","(2) separation, exact, 496 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002249e-07"],"p":[[-0.5627619,-1.2015907,-0.8171805,0.0670635,0.4818767,-0.4869042,-0.7254114],[-0.7032167,-0.0624869,-0.2956934,0.2270179,0.2311632,-0.8585674,0.3973518],[0.8971632,-0.2181109,1.4822511,0.3461083,0.8175519,-0.4348627,0.1507065],[0.0764776,1.6728767,0.8406377,0.0699536,0.6790903,0.5440796,-0.4877708],[-0.2214401,-1.1132634,1.3337708,0.1647582,-0.2591089,-0.3797202,0.8726568],[0.5275688,0.8180817,-1.3228238,0.0849683,-0.2924658,-0.3546669,0.8839997],[1.3420571,0.4604019,-0.8660152,0.8318868,0.310869,0.4182776,0.1907057],[-1.5698784,0.2723486,-0.8262473,0.1262183,-0.2755587,0.3679569,-0.8790586],[-0.1346511,-2.2587546,0.0675508,0.7523137,0.5362626,-0.2221272,-0.3116185],[0.6553612,-1.6401918,-0.3729212,0.0056844,0.8880556,-0.3229703,-0.3271315],[-1.0193865,-0.5312595,1.1178283,0.0852851,-0.7335632,-0.5005599,-0.4517204],[0.1383747,0.1276296,0.8139308,0.3307158,0.4373871,-0.184703,0.8156006],[1.6589385,-0.7353523,0.2741835,0.3550822,0.8139974,-0.4279128,0.1679746],[0.6250236,-0.2083302,-0.0064454,0.362338,-0.2005037,0.4304509,-0.8020109],[0.1195732,0.2690024,-2.2798987,0.8804762,0.3647052,-0.2798481,-0.1159169],[-1.4236853,0.6443399,0.6004491,0.8354137,-0.3012626,0.4160524,-0.1955129],[-2.2750674,-0.1562381,0.0150527,0.4350612,-0.3376012,0.8149951,0.180361],[0.775514,1.3007672,-0.3477136,0.4287585,-0.536237,-0.7252602,-0.0511234],[-0.7853434,-1.4952093,0.3878976,0.7045244,0.5406577,0.4557806,0.0599889],[-1.6061161,-0.9015609,0.1605651,0.8204807,0.4247621,-0.1757898,-0.3398331],[-0.9420191,1.3045293,-0.4219259,0.817949,0.3458824,-0.4259918,-0.1727883],[-0.006178,2.3172263,0.0107038,0.9237767,0.3826409,-0.0057083,0.0137811],[0.8367529,-0.9725176,0.8236671,0.8226298,0.3332628,-0.4144616,-0.2010914],[0.7533909,-0.6398689,-1.0123841,0.8182765,-0.2976479,-0.0019245,0.4917577],[0.0990102,-0.2346435,2.2934709,0.8214696,-0.3364085,-0.1521702,-0.4345817],[-0.753287,0.6854201,-1.2297672,0.3679569,-0.8790586,-0.1262183,0.2755587],[-0.2000657,-0.422004,-1.5161973,0.8980782,0.3652652,-0.2346812,-0.070439],[-0.2425595,0.5159851,1.6532794,0.259868,0.8910271,0.3519774,0.1210423],[2.2784933,0.1106501,-0.2494528,0.8157332,-0.4365726,-0.3370575,-0.1742873],[-0.12554,1.7190044,-0.8239299,0.0566459,0.7005571,0.4561974,0.5457975],[1.3340447,0.7866515,0.5477781,0.358596,0.4286346,0.8124556,0.1661241],[-0.1613791,0.8167864,0.0417423,0.6300322,0.0015173,0.4596983,-0.625887]]},{"n":33,"s":"5.02843+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.0284392314992,"st":5.028438606181,"cf":null,"den":0.5506,"vlb":4.12136,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n33.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2112 vertex/face tests: ok;  min wall gap ~ 1.000000180559e-07","(2) separation, exact, 528 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002787e-07"],"p":[[1.7483419,0.1195732,-0.8217028,0.3398511,-0.4247082,-0.8204732,0.1759199],[0.2690715,0.1195732,2.3009733,0.3398511,0.4247082,0.8204732,0.1759199],[0.0467728,-0.185661,-2.3382972,0.3241765,-0.8878054,-0.2895366,-0.1512604],[-0.2102096,-2.345137,0.0068679,0.3531994,0.3575742,0.1478738,-0.8517771],[-0.4624146,0.7805528,1.2913914,0.3545015,0.3571531,0.1806583,0.8450639],[0.9370424,0.0529738,1.4247302,0.3368617,0.2108649,0.6124949,-0.6833082],[-0.2770291,-0.6486354,1.693181,0.131393,-0.3594196,-0.8677158,0.3172109],[0.9725974,-0.2492223,-1.4677983,0.1206892,-0.3662172,0.2778666,0.8798348],[-0.3356048,-0.7844355,-1.5695776,0.3781305,0.8736469,-0.1594249,-0.2614234],[-1.6389599,-0.9039473,0.0434502,0.8362697,0.1796684,-0.3816257,0.3503342],[-0.7464523,0.5135144,-1.1905049,0.8204732,0.3398511,0.4247082,0.1759199],[1.4146232,-1.0248522,-0.1750471,0.3288436,-0.1424239,0.2677303,-0.8943701],[0.3634517,-1.4585104,-0.6225111,0.6316579,-0.164238,-0.572745,-0.4959813],[-1.4413622,-0.237778,0.9576256,0.1052077,-0.3671326,-0.8889482,0.2528163],[-1.5989823,0.9710624,0.1195732,0.455768,-0.060003,-0.7045563,0.5406251],[0.470817,-1.4312195,0.7875815,0.117192,-0.3651101,0.8803074,-0.2793196],[-0.7666986,-0.9772708,0.8729862,0.3173547,0.3603707,-0.8673212,0.1310452],[-0.8858863,1.6721801,0.0491947,0.8653423,0.3236295,0.1340517,0.3584365],[0.3243913,1.4266112,0.8060147,0.4427115,0.7512828,0.0336136,0.4883143],[-0.9098327,-1.6273126,0.0375811,0.3466736,0.3901338,0.1591466,-0.8380247],[0.1897153,2.3348067,0.0320974,0.4945723,-0.0165954,0.7293043,-0.4724808],[-0.0251518,0.758261,-0.1905514,0.1466921,0.870504,0.3944738,-0.2551365],[1.7485478,-0.1195856,0.8160474,0.171447,-0.3421602,-0.426567,-0.8194955],[2.3447306,-0.0022592,-0.0038778,0.0020873,0.9238658,-0.0050391,-0.3826777],[-0.2078463,-0.7380469,-0.205592,0.6728769,-0.5951304,-0.0288219,0.4384355],[0.2274483,1.5392484,-0.9229212,0.8204732,0.3398511,0.4247082,0.1759199],[0.1195732,0.8860791,-1.6839656,0.455768,-0.5406251,0.7045563,0.060003],[1.307835,1.1521072,0.2296757,0.3409781,-0.0446172,-0.3083161,0.8869523],[-2.3418096,0.2140236,0.0137779,0.5048477,-0.0068893,0.7070732,0.4951048],[0.739931,0.0733423,-0.1307434,0.2517199,0.3688281,-0.8813208,0.1545204],[-0.7314116,0.0513971,0.1191059,0.4206232,0.7927056,-0.1288678,0.4220036],[-1.3453749,-0.2671029,-0.8379938,0.1159169,0.8804762,0.3647052,-0.2798481],[0.0758275,-0.090899,0.8024132,0.3352827,0.3125542,-0.8877851,-0.0416301]]},{"n":34,"s":"5.05251+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.0525102995632,"st":5.052509671837,"cf":null,"den":0.5592,"vlb":4.16257,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n34.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2176 vertex/face tests: ok;  min wall gap ~ 1.000000060054e-07","(2) separation, exact, 561 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[1.7650258,0.1083409,-0.8153522,0.3392901,-0.4164252,-0.8249087,0.1760623],[0.2690024,0.1195732,2.3180631,0.3398511,0.4247082,0.8204732,0.1759199],[-0.0776702,1.6876458,-0.6847734,0.2942624,0.1644986,-0.9102065,0.2405703],[-0.1195732,-0.2690024,-2.3180631,0.3398511,-0.8204732,-0.4247082,-0.1759199],[-0.0469734,-2.3208997,-0.103661,0.4978475,0.2510332,0.3186488,-0.7665462],[-0.4782925,0.6031862,1.1949743,0.4564265,0.1921931,0.1014665,0.8628101],[0.9761093,0.1195732,1.6109563,0.455768,0.060003,0.5406251,-0.7045563],[-0.2485638,-0.7021966,1.7072392,0.1300673,-0.3641333,-0.8713706,0.301998],[0.8790325,-0.4619729,-1.3656333,0.0147533,-0.3304128,0.3196126,0.8879513],[-0.4519588,-0.8110396,-1.4436403,0.3669839,0.8794978,-0.1231208,-0.2768532],[-1.7275568,-0.8371579,0.0698402,0.8293856,0.1846557,-0.3971383,0.3468471],[-0.7515532,0.5812077,-1.149858,0.8268318,0.3408913,0.4169073,0.1622672],[1.4113153,-0.9626214,0.0243606,0.2860701,-0.254186,0.6136593,-0.6906342],[0.4175104,-1.5691616,-0.7199667,0.8845219,-0.352801,-0.294714,0.0793483],[-1.4971892,-0.099841,1.0766897,0.3401822,-0.4217693,-0.8233495,0.168767],[-1.7308722,0.8561933,0.1195732,0.455768,-0.060003,-0.7045563,0.5406251],[0.4994618,-1.4646531,0.7425238,0.1145514,-0.3642708,0.8806549,-0.2804133],[-0.7478559,-1.0182275,0.8898721,0.3060396,0.362449,-0.8720725,0.1202499],[-0.9192369,1.4587717,0.32863,0.8804762,0.2798481,0.1159169,0.3647052],[0.5081709,1.3163465,0.8821213,0.6412695,0.6143684,-0.0098465,0.4595954],[-1.0115688,-1.5350825,0.04885,0.3473084,0.3950602,0.1837866,-0.8303775],[0.2369404,2.1621102,0.1627522,0.5169975,0.0666899,0.6108174,-0.5959598],[0.1713367,0.637354,-0.1377183,0.1650766,0.8804316,0.3599609,-0.2608028],[1.6832161,0.1195732,0.9038494,0.1159169,-0.3647052,-0.2798481,-0.8804762],[2.3632735,0.000959,0.0016456,0.0033881,0.9240561,0.0021337,-0.3822359],[-0.2051758,-0.7537511,-0.1430922,0.661155,-0.5944498,-0.0212615,0.4572214],[0.8931733,0.9278206,-0.8856448,0.6866806,0.5631562,0.457472,0.0452131],[0.2564906,0.7442985,-1.677405,0.4239605,-0.3060657,0.8340986,0.1756722],[1.4229912,1.0414591,0.2421885,0.4029445,-0.2481715,-0.2212704,0.8526934],[-2.3312127,0.0418946,0.0232177,0.6368567,-0.2331717,0.6676863,0.3069846],[0.8662404,-0.0872115,-0.1144311,0.2336053,0.364867,-0.8880351,0.1539294],[-0.7577313,0.0371413,0.1230223,0.4040373,0.7903888,-0.1465024,0.4365507],[-1.3304788,-0.2639142,-0.7764532,0.0538452,0.8862636,0.3747662,-0.2668104],[0.0899742,-0.1578923,0.7960555,0.3105723,0.3105826,-0.8977749,-0.0329168]]},{"n":35,"s":"5.06974+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.0697452859096,"st":5.06974465646,"cf":null,"den":0.5698,"vlb":4.20299,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n35.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2240 vertex/face tests: ok;  min wall gap ~ 1.000000285681e-07","(2) separation, exact, 595 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999995395638e-08"],"p":[[1.7813916,0.1195732,-0.817861,0.3398511,-0.4247082,-0.8204732,0.1759199],[0.2690024,0.1195732,2.3302501,0.3398511,0.4247082,0.8204732,0.1759199],[-0.5020918,1.4637197,-0.5769351,0.5822149,0.1467234,-0.6979868,0.3902724],[-0.1195732,-0.2690024,-2.3302501,0.3398511,-0.8204732,-0.4247082,-0.1759199],[-0.0472346,-2.3075237,-0.1261303,0.5190718,0.2150066,0.3165735,-0.7642761],[-0.6021623,0.6322885,1.4843749,0.3744895,0.266613,-0.1473621,0.8757623],[1.0000401,0.0873357,1.5664027,0.4834695,0.0751646,0.5478191,-0.6786028],[-0.2551381,-0.7043786,1.7276047,0.1227006,-0.3624792,-0.8751022,0.2962253],[0.5826967,-0.3194022,-1.2500692,0.0312804,0.4586354,-0.5837778,-0.6692373],[-0.1195732,-0.9761093,-1.6231432,0.3647052,0.8804762,-0.1159169,-0.2798481],[-1.7673289,-0.8085357,0.0962881,0.8303958,0.1853764,-0.4046715,0.3351409],[-1.323883,-0.3175165,-0.8215128,0.7174274,-0.4480786,-0.5300111,-0.0600974],[0.8135341,1.7770647,0.1282268,0.5406251,0.7045563,0.060003,0.455768],[-0.7639018,0.3738251,-1.3145238,0.8227637,0.3290105,0.4197883,0.1964428],[-0.9242368,0.038244,0.025145,0.4480786,0.7174274,-0.0600974,0.5300111],[1.4182892,-0.9564357,0.0238482,0.2735156,-0.2610367,0.625449,-0.6825413],[0.1207618,-1.6826218,-0.9154421,0.8804762,-0.3647052,-0.2798481,0.1159169],[-1.386449,-0.2592002,1.0731764,0.1449701,-0.3737601,-0.8761614,0.2676346],[-1.5147641,0.8637902,0.0075858,0.2825187,-0.2585866,-0.6581284,0.6482154],[0.5462143,-1.4827238,0.6898875,0.0977457,-0.3588601,0.8826783,-0.2873053],[-0.7284135,-1.0481686,0.9105393,0.2962253,0.3624792,-0.8751022,0.1227006],[-0.5725647,1.4584245,0.6878364,0.882537,0.2867897,0.0990131,0.3592723],[0.7003681,0.9286617,1.0897959,0.6969943,0.55034,-0.0536792,0.456556],[-1.0562351,-1.5285304,0.0845879,0.3446325,0.4051455,0.1794975,-0.8275665],[0.126335,-0.2301544,0.8188005,0.3704817,0.1354502,0.2734189,0.8772905],[-0.0,2.3777443,0.0,0.2705981,-0.2705981,0.6532815,-0.6532815],[0.1674102,0.6167654,-0.0714627,0.1502149,0.8862292,0.3491967,-0.2647545],[1.7036505,0.056373,0.8315789,0.1432374,-0.3277181,-0.2673213,-0.8947755],[2.3777443,-0.0,0.0,0.0,-0.9238795,-0.0,0.3826834],[0.8643219,-0.1068463,-0.0869564,0.4102122,-0.8252056,0.3257902,-0.2112401],[-0.2399672,-0.6903041,-0.0201066,0.5560296,-0.690767,-0.0672843,0.4573237],[0.8132088,0.9908713,-0.8580018,0.7061866,0.5248487,0.47385,0.0360615],[0.2495032,0.7226577,-1.7256157,0.4260343,-0.3545903,0.8168361,0.15981],[1.520641,1.0699579,0.1282268,0.3647052,-0.1159169,-0.2798481,0.8804762],[-2.3653672,0.0131871,0.0075858,0.9237245,0.0169226,0.0070096,0.3826192]]},{"n":36,"s":"5.08974+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.08974870793,"st":5.089748060798,"cf":null,"den":0.5792,"vlb":4.24264,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n36.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2304 vertex/face tests: ok;  min wall gap ~ 1.000000167740e-07","(2) separation, exact, 630 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000861e-07"],"p":[[1.7830029,0.0536461,-0.8188748,0.3477393,-0.3857002,-0.839517,0.1597623],[-2.336821,-0.217236,0.0978152,0.1794897,0.3318153,0.8037334,0.460103],[0.2479162,0.1242993,2.3410703,0.3547538,0.4300682,0.8150121,0.1579442],[-0.8444952,1.0198898,-0.6419805,0.6895683,0.0610904,-0.4793168,0.5394617],[0.2862877,-2.0609266,-0.385756,0.8871553,0.0403816,0.3099407,-0.3395021],[-0.3040795,-0.6875582,1.7304347,0.1211434,-0.3648697,-0.8783057,0.2842066],[0.866273,-1.2691048,-0.5975924,0.4785491,-0.0986655,0.7481082,0.4489877],[-1.643718,-0.9386008,0.0817568,0.822523,0.183181,-0.4156088,0.342301],[-1.295912,-0.3544371,-0.8177784,0.7094748,-0.4342798,-0.5500117,-0.0743892],[0.6770024,1.7292765,0.3266913,0.7166376,0.5245051,-0.0703254,0.4542898],[-0.7996358,0.3331444,-1.3735393,0.8233344,0.3456959,0.4040767,0.1983351],[-0.904272,0.147435,0.1870151,0.4462087,0.5347946,0.0410697,0.7163839],[1.0001307,-1.0130655,0.719774,0.3161506,-0.1880431,0.4194814,-0.8298939],[-1.4965931,-0.2697885,0.9665886,0.1213716,-0.3664326,-0.8797409,0.2775824],[-0.7908369,-1.0167788,0.9144568,0.2866258,0.3630541,-0.8790578,0.1153031],[-0.6188489,0.6509977,1.4631236,0.8880736,0.3248374,0.0006012,0.3252776],[-0.927362,-1.6358306,0.0523044,0.3439995,0.4078966,0.1799711,-0.8263747],[-0.0928135,-0.3185048,0.5485961,0.2884139,-0.1239901,0.3580988,0.8793231],[-0.1381302,2.3234891,-0.2713509,0.1306624,-0.2736943,0.3693458,-0.8784091],[-0.0356468,0.6577688,-0.1724343,0.3465181,0.8233961,0.4189072,-0.1626679],[1.7873892,-0.0992246,0.8137721,0.1843765,-0.3427647,-0.4138831,-0.8229329],[2.3860176,0.0027573,-0.0039034,0.0025573,-0.9232297,-0.0096376,0.3841191],[0.7939266,-0.0259112,-0.0455463,0.3785195,-0.8706722,0.1088414,-0.2946294],[-0.428261,-0.9080215,-0.4603369,0.881619,-0.2891492,0.1186083,-0.3536564],[0.8663747,1.0015156,-0.7401143,0.8179511,0.3580655,0.389224,0.2263839],[0.0791668,0.8233946,-1.7591101,0.4686927,-0.5378029,0.6989664,0.0504099],[0.9552114,0.9186032,0.8591556,0.4285892,-0.3583738,-0.1662413,0.8125536],[0.0233515,1.5659509,-0.9661055,0.8257695,0.3432465,0.4106307,0.1779579],[0.0165117,-0.0293127,-2.3664185,0.2595872,-0.626699,-0.6788238,-0.281178],[1.0777015,0.0804484,-1.5277871,0.1260639,-0.8723116,-0.3043451,0.3613233],[0.0128837,-0.0213593,-0.9063356,0.5291959,-0.456873,-0.7130802,0.0523007],[0.2595043,-1.6818319,0.791634,0.3632714,0.4295847,-0.1636516,0.8103758],[0.9530851,0.0991193,1.614745,0.6821645,-0.4717321,0.061558,-0.5552757],[-1.7307869,0.6336489,-0.1420596,0.0411666,0.722436,-0.4420255,-0.5300991],[-0.4797648,1.3170005,0.6449019,0.4397796,0.8872935,0.1353142,0.0315321],[0.1195732,-0.8452525,-1.7681446,0.5406251,0.455768,-0.7045563,-0.060003]]},{"n":37,"s":"5.10324+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.1032457022125,"st":5.103245053183,"cf":null,"den":0.5906,"vlb":4.28157,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n37.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2368 vertex/face tests: ok;  min wall gap ~ 1.000000103641e-07","(2) separation, exact, 666 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[1.7801543,0.0732622,-0.8288407,0.3458857,-0.39809,-0.8319365,0.1725371],[-2.3565413,-0.1946995,0.0828489,0.1632664,0.330684,0.8054773,0.4638948],[0.254598,0.1245958,2.3510569,0.3500701,0.4300159,0.8160317,0.1631858],[-0.8238449,1.0149816,-0.685563,0.6747399,0.0536031,-0.5018872,0.5384812],[0.1195732,-2.3539385,-0.2690024,0.8204732,0.3398511,0.1759199,-0.4247082],[-0.2676072,-0.7233915,1.7455094,0.1207189,-0.3654066,-0.8790303,0.2814439],[1.0912398,-1.0986276,-0.5526467,0.3568703,-0.1670338,0.8132151,0.428281],[-1.6686314,-0.9252078,0.0964765,0.816368,0.2023778,-0.4190946,0.3419741],[-1.3250958,-0.3103057,-0.8331221,0.7061729,-0.4315696,-0.5551628,-0.0828353],[0.6531098,1.7447401,0.3446642,0.7126621,0.5298942,-0.0668977,0.4548072],[-0.7800531,0.320837,-1.4056427,0.8246902,0.3425652,0.395371,0.2149815],[-0.9083438,0.1586677,0.1946691,0.44413,0.5279597,0.0424176,0.7226395],[0.971102,-0.995891,0.7678667,0.2696672,-0.2156326,0.4067694,-0.8457664],[0.1195732,-1.5668035,-1.0561374,0.8804762,-0.3647052,-0.2798481,0.1159169],[-1.5280808,-0.2523878,0.9358461,0.1149886,-0.3680084,-0.8840087,0.2643408],[-0.8328689,-0.9731641,0.9304035,0.2843674,0.3631504,-0.8799648,0.1136615],[-0.541431,0.6900482,1.5110348,0.8812603,0.2823751,0.1097973,0.3627522],[-0.9628275,-1.6348386,0.081385,0.3455012,0.4045852,0.1962957,-0.8236551],[-0.0971948,-0.1890152,0.6702807,0.2855168,-0.1345983,0.3535262,0.8805582],[-0.1273581,2.3468598,-0.2682961,0.1243885,-0.2763239,0.3673826,-0.8793194],[-0.0240614,0.6628613,-0.1945197,0.3545028,0.8282333,0.4088558,-0.1455828],[1.7749085,-0.0470862,0.807058,0.2040674,-0.3507358,-0.3853383,-0.8287673],[2.3834834,0.0084006,-0.0149977,0.0078481,-0.9216553,-0.0338452,0.3864511],[0.7959223,0.0554575,0.036927,0.3839251,-0.8618811,0.0996125,-0.3159745],[-0.3710054,-0.777502,-0.2491962,0.8783433,-0.3596288,-0.1796008,-0.2586962],[0.8847904,1.0270674,-0.7421167,0.8201115,0.3534504,0.3992826,0.2075173],[0.0865882,0.903617,-1.6998952,0.4719612,-0.5371781,0.6967997,0.0562368],[0.7572976,0.8878087,1.0257965,0.3967129,-0.3618768,-0.1650541,0.8272975],[0.0502417,1.5945376,-0.9777223,0.8267025,0.344744,0.4053725,0.1827228],[0.0177654,-0.0421309,-2.3598922,0.2506597,-0.6051461,-0.6981057,-0.2891649],[1.0583919,0.0778213,-1.5212699,0.1113862,-0.8786758,-0.2802192,0.3701339],[0.0281569,-0.0401912,-0.9037602,0.5140845,-0.4597315,-0.7230046,0.040354],[0.2263084,-1.665002,0.838015,0.4069283,0.4426308,-0.1364593,0.7873158],[0.9564896,0.0779729,1.6400725,0.6939097,-0.479743,0.033443,-0.5359268],[-1.719864,0.6584559,-0.1389925,0.0378163,0.7264815,-0.4378173,-0.5283092],[-0.6713135,1.4208604,0.6503401,0.3880533,0.8667529,0.1934285,0.2464538],[0.1195732,-0.8596966,-1.7632443,0.5406251,0.455768,-0.7045563,-0.060003]]},{"n":38,"s":"5.13601+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.1360125812922,"st":5.136011943669,"cf":null,"den":0.595,"vlb":4.3198,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n38.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2432 vertex/face tests: ok;  min wall gap ~ 1.000000308757e-07","(2) separation, exact, 703 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999989185e-08"],"p":[[1.7363078,-0.0328061,-0.7259192,0.3340468,-0.4507497,-0.8064602,0.1867066],[-2.3685339,-0.1530706,-0.0313545,0.2100093,0.350496,0.8266019,0.3870115],[0.2489774,0.0874695,2.3866857,0.3473368,0.4046058,0.8296038,0.1655561],[-0.7751279,1.1099817,-0.673516,0.7097287,0.0239835,-0.4771792,0.5176968],[-0.0,-2.4246023,-0.2071068,0.8535534,0.3535534,0.1464466,-0.3535534],[-0.7564467,0.538665,1.470572,0.406451,0.2147614,-0.2618528,0.8485919],[-0.2579062,-0.7429227,1.7500152,0.1064746,-0.3597745,-0.8795421,0.2926282],[1.0019526,-1.4834696,-0.2802615,0.3545848,-0.168236,0.8142142,0.4278101],[-1.7024366,-0.8950641,0.0445417,0.8323339,0.1251595,-0.4221575,0.3366577],[-1.427307,-0.2025457,-0.8724898,0.6620302,-0.4850351,-0.5627718,-0.0987159],[0.7198103,1.7756312,0.2698973,0.7065714,0.5378573,-0.0618895,0.455671],[-0.8001252,0.4061175,-1.3858893,0.8431517,0.3484127,0.3798275,0.1530848],[-0.875901,0.1301433,0.1232079,0.4809705,0.5291178,0.0182527,0.6988337],[0.9678451,-0.9810608,0.8092812,0.2641336,-0.2143716,0.4109417,-0.8458162],[0.1195732,-1.5605838,-1.0855268,0.8804762,-0.3647052,-0.2798481,0.1159169],[-1.5857227,-0.2551233,0.8835643,0.1128932,-0.3582703,-0.874731,0.3061752],[-0.8703152,-0.9540671,0.9264618,0.2822083,0.3675312,-0.8763291,0.1316305],[0.4341642,0.9547727,1.3767469,0.7066622,0.5378696,-0.0617824,0.4555302],[-0.9954611,-1.6233845,0.1012156,0.3401981,0.4366272,0.1474997,-0.8196742],[-0.0153066,-0.2593024,0.6887333,0.3386338,-0.0428829,0.3391028,0.8766399],[-0.118103,2.3753728,-0.2647344,0.1143353,-0.2760299,0.3652041,-0.8816807],[0.0099766,0.664322,-0.1757417,0.3360646,0.8358083,0.3972414,-0.1751696],[1.8154646,-0.0940032,0.805076,0.1759199,-0.3398511,-0.4247082,-0.8204732],[2.4246023,-0.0,-0.0,0.0,0.9238795,-0.0,-0.3826834],[0.7855596,-0.1011186,-0.0631376,0.3386209,-0.8792919,0.1478319,-0.3005451],[-0.411504,-0.8732098,-0.3097043,0.8097321,-0.4375548,-0.3373062,-0.1977481],[0.95344,0.9800294,-0.7028701,0.7691665,0.4745061,0.4013854,0.1487167],[0.0520418,0.872358,-1.7620631,0.4812488,-0.5180729,0.7066272,0.0260386],[1.1391453,0.9591262,0.6674123,0.425392,-0.3430526,-0.17426,0.8191398],[0.1219716,1.6013041,-0.9894788,0.8116168,0.3933204,0.409279,0.1380869],[-0.039971,0.0117778,-2.3859378,0.2932003,-0.6195217,-0.6745345,-0.27428],[1.0585963,0.0130801,-1.5674962,0.1453716,-0.8605821,-0.3404714,0.3497781],[-0.0200667,-0.0552112,-0.8896464,0.5332192,-0.4873541,-0.6903083,0.0404679],[0.1585994,-1.7454973,0.8615871,0.5044273,0.4521645,-0.0828981,0.7309092],[0.9527266,0.1372608,1.6756964,0.7024398,-0.4559989,0.0582227,-0.5433724],[-1.6275678,0.7697448,-0.1845744,0.0292647,0.7020746,-0.4863169,-0.519356],[-0.5595325,1.5256933,0.6804579,0.455528,0.7066813,0.5378445,0.0617986],[-0.1015991,-0.8514643,-1.790621,0.462687,0.5347155,-0.7052701,0.0509318]]},{"n":39,"s":"5.17002+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.1700275493789,"st":5.170026906759,"cf":null,"den":0.5987,"vlb":4.35736,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n39.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2496 vertex/face tests: ok;  min wall gap ~ 1.000000270298e-07","(2) separation, exact, 741 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005025e-07"],"p":[[1.8307158,0.076401,-0.7962749,0.3398511,-0.4247082,-0.8204732,0.1759199],[-2.4040216,-0.1556024,-0.0376186,0.1993188,0.3532169,0.8335791,0.375041],[0.1397386,0.1698009,2.4014348,0.4751038,0.4173151,0.7707106,0.0782921],[-0.7935536,1.0711661,-0.7051373,0.7239223,0.033837,-0.4597558,0.5132409],[0.0008922,-2.3957981,0.1410782,0.4495036,0.547026,-0.0674976,-0.7029602],[-0.7686344,0.530618,1.484566,0.4043547,0.2123078,-0.2657999,0.8489836],[-0.2550596,-0.7679734,1.7443788,0.1093941,-0.3597111,-0.8780914,0.2959668],[0.9561014,-0.9958917,-0.8377428,0.0182204,-0.31832,0.8878869,0.3316583],[-1.7330019,-0.8939764,0.0297357,0.8391915,0.1242544,-0.4061337,0.3396673],[-1.4626947,-0.290167,-0.8443271,0.6729121,-0.5143807,-0.5290455,-0.0520829],[0.6971685,1.8041373,0.2884301,0.7045563,0.5406251,-0.060003,0.455768],[-0.8665513,0.3104104,-1.4140913,0.8376198,0.3350472,0.418371,0.1053672],[-0.8625682,0.1375187,0.112486,0.4886794,0.5508606,0.0270483,0.6760277],[0.8912381,-0.8851354,0.9901911,0.1415879,-0.2824809,0.3699954,-0.873648],[0.1218259,-1.7303699,-0.9375402,0.8801522,-0.365478,-0.2788381,0.1183524],[-1.5849954,-0.1976995,0.8238051,0.1089872,-0.3902673,-0.8548219,0.32418],[-0.8909525,-0.9144963,0.8980397,0.2813527,0.332649,-0.8886964,0.1428428],[0.3064793,1.1590987,1.3241579,0.7092359,0.5344713,-0.0639683,0.4552284],[-1.031617,-1.6057038,0.0866907,0.334327,0.4399624,0.13798,-0.8219611],[0.0058307,-0.1873556,0.6914259,0.2847045,-0.1188107,0.3830641,0.8706832],[-0.1598216,2.3554249,-0.2744895,0.0984326,-0.2870259,0.3590836,-0.8826019],[0.0291109,0.6999922,-0.1779491,0.3347173,0.8278806,0.4057973,-0.1946963],[1.8194991,-0.0779868,0.7850582,0.184013,-0.3355381,-0.4442466,-0.8100607],[2.4486545,-0.0,0.0,0.0,0.9238795,-0.0,-0.3826834],[0.8164798,-0.0217672,-0.0551931,0.311257,-0.8976653,0.1528617,-0.2719362],[-0.381075,-0.8830526,-0.2838745,0.8048206,-0.4434552,-0.3358114,-0.2069831],[0.9871444,1.0327877,-0.7076382,0.760017,0.4676357,0.4280007,0.1432003],[0.0635457,0.8506349,-1.7504292,0.4521838,-0.5433535,0.7066123,0.0315573],[1.1002293,0.9806448,0.7088619,0.4262235,-0.3469806,-0.1722161,0.8174837],[0.0604337,1.6489341,-0.9937203,0.8332548,0.3415949,0.4087279,0.1481248],[0.0630477,-0.1562757,-2.4261592,0.1304118,-0.4727796,-0.8075821,-0.3275415],[0.9961448,0.1323084,-1.5376948,0.2405029,-0.8478439,-0.2587557,0.3954295],[-0.0415226,0.0074034,-0.896599,0.5347536,-0.4892817,-0.6879771,0.0364627],[-0.0558835,-1.7493365,0.9084094,0.4782663,0.5195867,0.0280018,0.7074651],[0.9067339,0.2282587,1.6475394,0.6015407,-0.4618804,-0.0148757,-0.6516088],[-1.645797,0.7626302,-0.1806166,0.0434949,0.6942006,-0.4874909,-0.5277749],[-0.6702925,1.5093558,0.6100876,0.455217,0.7093313,0.5343447,0.0640496],[-0.1291817,-0.8729962,-1.7429102,0.4642794,0.4846731,-0.738176,0.0680654],[0.9127178,-1.6084911,0.2685271,0.3642623,0.8806584,0.2804244,-0.1145246]]},{"n":40,"s":"5.19194+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.1919420209129,"st":5.191941372801,"cf":null,"den":0.6063,"vlb":4.39429,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/cubinoct/cubinoct_n40.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2560 vertex/face tests: ok;  min wall gap ~ 1.000000085693e-07","(2) separation, exact, 780 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[1.8545319,0.091046,-0.796655,0.3548123,-0.4175674,-0.8237835,0.1453496],[-2.4102241,-0.2202293,0.0817112,0.1816852,0.3368042,0.8131173,0.438627],[0.2380925,0.0608837,2.4368784,0.3469144,0.3900057,0.8375255,0.1615457],[-0.9524166,1.2943998,-0.5584154,0.6906614,-0.0484598,-0.5582669,0.4571395],[0.08507,0.2335438,-2.4231057,0.370449,-0.8763572,0.1130303,-0.2863385],[-0.2268913,-2.4458975,-0.0391204,0.3574706,0.3297977,0.1366067,-0.8630103],[-0.5947922,0.5813666,1.6290731,0.3397903,0.3096247,-0.041207,0.8871173],[0.9505432,0.1195732,1.7351154,0.455768,0.060003,0.5406251,-0.7045563],[-0.243692,-0.7973971,1.716977,0.1310464,-0.3872151,-0.868164,0.281394],[0.8923531,0.2271479,-1.602543,0.2854129,0.1153475,0.8793311,0.3633336],[-0.1540559,-0.6435726,-1.7758945,0.2860081,0.8784416,-0.3640601,-0.1183211],[-1.7295375,-0.9537564,0.109381,0.8235531,0.1734332,-0.4187047,0.3411269],[-1.5073605,-0.1441108,-0.9080616,0.7026251,-0.4540729,-0.5439382,-0.0653225],[0.8120072,1.6027345,-0.1499271,0.5407373,0.4531354,-0.0599578,0.7061703],[-0.8517599,-0.0879583,-0.0267288,0.5129201,0.6560071,-0.1055172,0.5435382],[0.9615228,-1.5557044,-0.2880046,0.3327966,0.0214013,0.8878159,-0.3171298],[-1.5833352,-0.2248784,0.920808,0.1367671,-0.3694131,-0.8758829,0.2786716],[0.1005904,-1.7701932,0.667766,0.4059785,-0.2678305,0.8705652,-0.0745958],[-0.9068533,-0.9624798,0.9233524,0.2937485,0.3581295,-0.8805609,0.1003372],[0.6836941,0.9342513,1.1818135,0.7058675,0.5407967,-0.0584415,0.453734],[-1.0142789,-1.6566286,-0.04322,0.3570893,0.3294723,0.1338388,-0.8637259],[0.2328892,0.0697521,0.7449492,0.5361905,0.0540633,0.4645378,0.7026959],[0.1751591,-0.16399,-0.9553336,0.1180502,0.8779155,0.365327,-0.2861201],[1.8151207,-0.1855416,0.8045695,0.1759199,-0.3398511,-0.4247082,-0.8204732],[2.4454335,-0.0117726,0.0206687,0.0262686,-0.923506,0.0108808,0.3825287],[1.0183286,-0.272054,-0.1337567,0.3833647,-0.7232295,0.5483198,-0.1712191],[0.9128651,0.9610847,-0.9222848,0.8236195,0.3384875,0.419922,0.1753356],[0.0709598,0.9335197,-1.7090739,0.4644478,-0.5397306,0.6996041,0.0594407],[1.4521637,0.8673841,0.485684,0.4247082,-0.3398511,-0.1759199,0.8204732],[-0.112898,1.6729763,-1.0059922,0.1121688,0.2813787,-0.8784122,0.3696434],[-0.0450424,0.8290292,-0.1858642,0.4238984,-0.1810124,0.3433537,0.8183232],[-0.8163969,-0.8671969,-0.8927609,0.4178128,-0.3411718,0.8246253,0.1703743],[0.7381176,-0.7967767,1.0368653,0.311875,0.4570402,-0.0450147,-0.8317583],[-0.8839961,0.9205624,0.6934492,0.6058635,-0.1670392,-0.5241109,0.5747478],[-1.7335824,0.7919809,-0.1815474,0.8160177,-0.343794,-0.2363295,-0.4000864],[-0.1361193,-1.6004125,-0.7919637,0.8426133,-0.3775265,0.1549905,-0.3513609],[-0.1301086,2.3917026,-0.2572297,0.1223676,-0.2752263,0.3749279,-0.8767587],[-0.7932578,0.3941129,-1.3842577,0.7075955,-0.054713,0.5374564,-0.4554731],[-0.0382561,1.5512181,0.5522849,0.1817843,-0.4248651,-0.3429272,0.8178295],[-0.1049606,-0.7821196,0.0600885,0.3529311,0.2746368,-0.8746607,0.1870371]]}],"hasref":false,"family":"platonic","group":"platonic","title":"Cubes in an octahedron","unit":"edge"},{"id":"octincub","piece":"octahedron","container":"cube","rows":[{"n":2,"s":"1.41421+","ref":1.4142135623730951,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center), s = \u221a2","refcode":"W","cmp":"equal","sf":1.4142138201082,"st":1.414213562373,"cf":"\u221a2","den":0.3333,"vlb":0.98056,"move":"fresh","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n02.json","ok":true,"ver":true,"cert":["(1) containment, exact, 72 vertex/face tests: ok;  min wall gap ~ 1.000000373064e-07","(2) separation, exact, 1 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999772692e-08"],"p":[[-0.2357023,-0.2357023,0.2357023,0.4082483,0.8164966,0.0,-0.4082483],[0.2357023,0.2357023,-0.2357023,0.4082483,0.0,0.4082483,-0.8164966]]},{"n":3,"s":"1.63299+","ref":1.63299,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"equal","sf":1.6329934618555,"st":1.632993161855,"cf":"(2\u221a6)/3","den":0.3248,"vlb":1.12246,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n03.json","ok":true,"ver":true,"cert":["(1) containment, exact, 108 vertex/face tests: ok;  min wall gap ~ 1.000000207085e-07","(2) separation, exact, 3 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999828203e-08"],"p":[[-0.3198653,-0.3857255,0.2459334,0.2777918,0.8797319,0.3438495,-0.1751315],[0.2391542,0.3149319,-0.4082483,0.538785,0.0611919,0.4556099,-0.7059645],[0.3147636,0.2340918,0.4082483,0.4252261,0.8194655,0.3422739,-0.1746642]]},{"n":4,"s":"1.64991+","ref":1.64991,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"equal","sf":1.6499161093712,"st":1.649915822769,"cf":"(7\u221a2)/6","den":0.4198,"vlb":1.23543,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n04.json","ok":true,"ver":true,"cert":["(1) containment, exact, 144 vertex/face tests: ok;  min wall gap ~ 1.000000219853e-07","(2) separation, exact, 6 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002249e-07"],"p":[[0.3535534,0.3535534,-0.3535534,0.4082483,0.0,0.4082483,-0.8164966],[-0.3535534,0.3535534,0.3535534,0.2886751,-0.8660254,0.2886751,0.2886751],[0.3535534,-0.3535534,0.3535534,0.5773503,0.5773503,-0.5773503,-0.0],[-0.3535534,-0.3535534,-0.3535534,0.5773503,-0.5773503,-0.0,-0.5773503]]},{"n":5,"s":"1.75782+","ref":1.75782,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"equal","sf":1.7578255038537,"st":1.757825197234,"cf":null,"den":0.4339,"vlb":1.33083,"move":"reinsert","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n05.json","ok":true,"ver":true,"cert":["(1) containment, exact, 180 vertex/face tests: ok;  min wall gap ~ 1.000000207640e-07","(2) separation, exact, 10 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[-0.3758355,-0.4583639,-0.3130147,0.2013784,0.322052,-0.402584,-0.8328598],[0.4082483,0.4067748,0.4053059,0.0009024,-0.5755463,-0.5791557,0.5773425],[0.3816074,-0.450708,0.1148391,0.6680161,-0.0437449,0.558483,0.4898343],[0.062424,0.4205488,-0.3963568,0.0421402,0.8167659,-0.4172674,0.3962394],[-0.4706644,0.2929765,0.3789126,0.8204732,0.3398511,0.1759199,0.4247082]]},{"n":6,"s":"1.76776+","ref":1.76776,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"equal","sf":1.7677672540028,"st":1.767766952966,"cf":"(5\u221a2)/4","den":0.512,"vlb":1.41421,"move":"descend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n06.json","ok":true,"ver":true,"cert":["(1) containment, exact, 216 vertex/face tests: ok;  min wall gap ~ 1.000000403040e-07","(2) separation, exact, 15 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003082e-07"],"p":[[0.2946279,0.412479,-0.412479,0.4082483,-0.8164966,0.0,-0.4082483],[-0.412479,-0.412479,0.412479,0.0,-0.4082483,0.8164966,-0.4082483],[-0.412479,-0.2946279,-0.412479,0.4082483,0.4082483,-0.0,0.8164966],[0.412479,-0.412479,-0.412479,0.8164966,0.0,0.4082483,-0.4082483],[-0.412479,0.412479,0.2946279,0.4082483,-0.8164966,-0.0,-0.4082483],[0.412479,0.1767767,0.412479,0.5773503,-0.5773503,0.5773503,0.0]]},{"n":7,"s":"1.79133+","ref":1.79133,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"equal","sf":1.791337482929,"st":1.791337179006,"cf":null,"den":0.5741,"vlb":1.48878,"move":"reinsert","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n07.json","ok":true,"ver":true,"cert":["(1) containment, exact, 252 vertex/face tests: ok;  min wall gap ~ 1.000000122153e-07","(2) separation, exact, 21 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002249e-07"],"p":[[0.4242641,0.4242641,-0.4242641,0.4082483,-0.8164966,0.0,-0.4082483],[0.4242641,-0.4242641,0.4242641,0.2886751,0.8660254,-0.2886751,0.2886751],[-0.4242641,-0.4242641,0.4242641,0.0,0.4082483,-0.8164966,0.4082483],[-0.4277578,-0.2531899,-0.4089679,0.3990208,0.3952123,0.0086297,0.8273543],[0.4242641,-0.4242641,-0.4242641,0.8164966,-0.0,0.4082483,-0.4082483],[-0.4242641,0.4242641,0.4242641,0.4082483,-0.8164966,0.0,-0.4082483],[0.4242641,0.4242641,0.4242641,0.5773503,-0.5773503,0.5773503,0.0]]},{"n":8,"s":"1.79133+","ref":1.79133,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"equal","sf":1.7913374829291,"st":1.791337179006,"cf":null,"den":0.6561,"vlb":1.55654,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n08.json","ok":true,"ver":true,"cert":["(1) containment, exact, 288 vertex/face tests: ok;  min wall gap ~ 1.000000497409e-07","(2) separation, exact, 28 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002249e-07"],"p":[[0.4242641,0.4242641,-0.4242641,0.4082483,-0.8164966,-0.0,-0.4082483],[0.4242641,-0.4242641,0.4242641,0.2886751,0.8660254,-0.2886751,0.2886751],[-0.4242641,-0.4242641,0.4242641,0.0,0.4082483,-0.8164966,0.4082483],[-0.4242641,-0.4242641,-0.4242641,0.4082483,0.4082483,-0.0,0.8164966],[0.4242641,-0.4242641,-0.4242641,0.8164966,-0.0,0.4082483,-0.4082483],[-0.4242641,0.4242641,0.4242641,0.4082483,-0.8164966,0.0,-0.4082483],[0.4242641,0.4242641,0.4242641,0.5773503,-0.5773503,0.5773503,-0.0],[-0.4242641,0.4242641,-0.4242641,0.2886751,0.2886751,0.8660254,-0.2886751]]},{"n":9,"s":"1.88561+","ref":1.88561,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"equal","sf":1.8856183986346,"st":1.885618083164,"cf":"(4\u221a2)/3","den":0.6328,"vlb":1.61887,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n09.json","ok":true,"ver":true,"cert":["(1) containment, exact, 324 vertex/face tests: ok;  min wall gap ~ 1.000000053319e-07","(2) separation, exact, 36 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999985323139e-08"],"p":[[-0.4714046,0.4714046,0.4714046,0.4082483,0.8164966,-0.4082483,0.0],[0.4714046,0.4714046,-0.4714046,0.4082483,0.0,0.4082483,-0.8164966],[0.4714046,-0.4714046,-0.4714046,0.4082483,-0.0,-0.8164966,-0.4082483],[-0.4714046,-0.4714046,-0.4714046,0.5773503,-0.0,-0.5773503,0.5773503],[0.4714046,-0.4714046,0.4714046,0.5773503,0.0,-0.5773503,-0.5773503],[-0.4714046,0.4714046,-0.4714046,0.4082483,0.8164966,-0.0,0.4082483],[0.4714046,0.4714046,0.4714046,0.2886751,0.2886751,0.8660254,-0.2886751],[-0.4714046,-0.4714046,0.4714046,0.5773503,0.5773503,-0.5773503,0.0],[-0.0,-0.0,0.0,0.5,-0.5,-0.5,0.5]]},{"n":10,"s":"2.14936+","ref":2.14936,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"equal","sf":2.1493662767464,"st":2.149365928974,"cf":null,"den":0.4747,"vlb":1.67674,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n10.json","ok":true,"ver":true,"cert":["(1) containment, exact, 360 vertex/face tests: ok;  min wall gap ~ 1.000000420803e-07","(2) separation, exact, 45 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[0.173644,0.6032785,0.6032785,0.0,-0.8164966,-0.4082483,-0.4082483],[0.2452497,0.6032785,-0.6032785,0.2886751,0.8660254,0.2886751,-0.2886751],[-0.6032785,-0.173644,0.6032785,0.8164966,-0.4082483,0.0,-0.4082483],[-0.6032785,-0.2452497,-0.6032785,0.4082483,-0.4082483,0.8164966,-0.0],[-0.6032785,0.6032785,0.2452497,0.2886751,0.2886751,0.8660254,0.2886751],[0.6032785,-0.6032785,0.6032785,0.0,0.4082483,-0.4082483,0.8164966],[0.6032785,-0.6032785,-0.6032785,0.2886751,0.8660254,0.2886751,-0.2886751],[-0.1408247,-0.6032785,0.0811532,0.8164966,-0.4082483,-0.0,-0.4082483],[0.6032785,0.1408247,0.0811532,0.5773503,0.5773503,0.0,0.5773503],[-0.6032785,0.6032785,-0.6032785,0.8660254,-0.2886751,0.2886751,0.2886751]]},{"n":11,"s":"2.23071+","ref":2.1954,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"behind","sf":2.230710524241,"st":2.230710143301,"cf":null,"den":0.4672,"vlb":1.73086,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n11.json","ok":true,"ver":true,"cert":["(1) containment, exact, 396 vertex/face tests: ok;  min wall gap ~ 1.000000279250e-07","(2) separation, exact, 55 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999989714071e-08"],"p":[[-0.6153552,-0.2402596,0.7071069,0.4247082,0.8204732,-0.3398511,0.1759199],[-0.1725461,0.1725461,-0.1725461,0.5773503,0.5773503,0.5773503,0.0],[0.7071069,0.0998858,0.0801515,0.4490258,-0.7661925,0.1160911,0.4448008],[-0.6252518,0.6485992,0.5854437,0.4124412,-0.8048971,-0.0077593,0.4265827],[0.5532535,-0.5626306,0.7070907,0.8613132,-0.3944685,0.2360256,0.2163933],[-0.5759304,-0.4900106,-0.7071069,0.1416084,-0.4039857,-0.7908671,-0.4373465],[-0.1334662,-0.7071069,0.0750385,0.2056161,0.8425224,0.4111531,-0.2807688],[0.5693036,-0.6601439,-0.614368,0.1840653,-0.8403202,-0.3821074,-0.3376031],[0.2818202,0.6136768,0.7071069,0.0586782,-0.5426704,0.7029822,0.4559405],[0.4900106,0.5759304,-0.7071069,0.3079489,0.0455717,0.8869038,-0.3413097],[-0.6439506,0.6439506,-0.6439506,0.4082483,-0.0,-0.4082483,0.8164966]]},{"n":12,"s":"2.29102+","ref":2.25949,"refsrc":"H. Lin, July 2026 (Hyra-results; Friedman's Packing Center)","refcode":"L","cmp":"behind","sf":2.2910263975329,"st":2.291026016941,"cf":null,"den":0.4704,"vlb":1.7818,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n12.json","ok":true,"ver":true,"cert":["(1) containment, exact, 432 vertex/face tests: ok;  min wall gap ~ 1.000000161011e-07","(2) separation, exact, 66 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000029e-07"],"p":[[-0.0363868,0.7372648,0.0849661,0.3449295,0.0560624,0.303889,-0.8863025],[-0.6501437,-0.7111349,0.5453234,0.4251893,-0.8182256,-0.1098284,0.3710238],[0.6146021,-0.7372648,0.5490048,0.3473022,-0.0630116,-0.3011745,-0.8858356],[-0.6988811,-0.64566,-0.3646777,0.3642554,-0.3141453,-0.1177644,0.8687705],[-0.7372648,0.5604051,0.6455131,0.7045563,-0.5406251,0.455768,0.060003],[-0.1712611,-0.0697798,-0.7006962,0.0161446,0.5572117,-0.7099635,-0.430356],[-0.7372648,0.5963721,-0.5808118,0.219405,0.4039633,-0.2521113,0.8515369],[0.6482848,0.6654854,0.6316597,0.3733461,0.0949694,0.3572556,-0.8508595],[0.7372648,-0.0159837,-0.1184465,0.4917027,0.7395293,0.4506622,0.0907108],[0.548038,-0.7372648,-0.6455131,0.4247082,-0.3398511,0.1759199,0.8204732],[0.5998471,0.6511544,-0.7084436,0.6510128,0.505842,0.0358607,-0.5648188],[-0.0050653,-0.1269515,0.7372648,0.832289,-0.4180301,0.1912477,0.3097905]]},{"n":13,"s":"2.33944+","ref":2.33667,"refsrc":"H. Lin, July 2026 (Hyra-results; Friedman's Packing Center)","refcode":"L","cmp":"behind","sf":2.3394432774946,"st":2.339442888887,"cf":null,"den":0.4786,"vlb":1.82998,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n13.json","ok":true,"ver":true,"cert":["(1) containment, exact, 468 vertex/face tests: ok;  min wall gap ~ 1.000000156570e-07","(2) separation, exact, 78 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001139e-07"],"p":[[-0.6697231,-0.6768881,-0.6626593,0.4970483,-0.5041717,0.0050245,0.7062073],[-0.0144237,-0.7471806,0.0970825,0.6476324,0.0361233,0.615917,-0.4471169],[0.5943001,0.7614732,-0.647815,0.8750029,-0.3758381,0.1518057,-0.2647086],[-0.594267,0.7614732,0.6479889,0.0784209,0.5116333,0.4529625,0.7258832],[0.7472088,0.006227,-0.0705702,0.4904244,-0.7471583,0.4335242,-0.1153046],[-0.7587105,0.1317776,0.0225531,0.8597367,-0.2134963,-0.3974783,-0.239339],[0.7007338,-0.6743502,-0.6493024,0.3338711,0.3062,0.1955751,0.8697827],[0.6697279,0.7605012,0.5774052,0.1184484,-0.3638971,0.8805297,0.279672],[-0.0374524,-0.0459635,-0.7614732,0.1423954,-0.4025614,0.791593,0.4370908],[0.097593,0.073038,0.7614732,0.3998925,-0.4366087,-0.143867,0.7929446],[-0.7164528,-0.6269993,0.6697216,0.3150679,-0.3598291,-0.1302676,-0.8684961],[0.6752539,-0.6923946,0.6586878,0.3115356,0.8675177,0.3298006,-0.2039368],[-0.6024976,0.7614732,-0.624662,0.7850418,0.1353744,0.4151921,-0.4393161]]},{"n":14,"s":"2.36547+","ref":2.35702,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"behind","sf":2.3654755633302,"st":2.36547517362,"cf":null,"den":0.4986,"vlb":1.87575,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n14.json","ok":true,"ver":true,"cert":["(1) containment, exact, 504 vertex/face tests: ok;  min wall gap ~ 1.000000105500e-07","(2) separation, exact, 91 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999997122034e-08"],"p":[[-0.053092,-0.7744894,0.0021407,0.5397886,-0.0605438,0.7051974,-0.4556965],[0.7072947,0.6991406,-0.715591,0.868466,-0.2862793,0.2961783,-0.2758431],[-0.6221841,0.7566995,0.6848778,0.0500361,0.5074896,0.442992,0.7373662],[0.7744894,-0.1258373,-0.0318759,0.5800638,-0.672459,0.4584552,-0.033819],[-0.7744894,0.0300523,0.1245024,0.8735072,-0.1601886,-0.3783589,-0.2610927],[0.6213401,-0.6847086,-0.7574158,0.3241052,0.395545,0.2068723,0.8340886],[0.6601996,0.7168885,0.6031887,0.0324139,-0.3608266,0.8565947,0.3674221],[-0.0306878,0.0966004,-0.6950078,0.2039913,-0.3415744,0.7024356,0.5901684],[0.0521602,-0.0041389,0.7744894,0.3408066,-0.4249128,-0.1754251,0.8200768],[-0.6061834,-0.7733683,0.6827386,0.4242393,-0.3404323,-0.1747945,-0.8207154],[0.6061686,-0.6827386,0.7697763,0.364861,0.8800979,0.1154283,-0.2810346],[-0.7081704,0.7146288,-0.7017987,0.4054598,0.0057104,0.3998652,-0.8219961],[0.0357617,0.6956259,-0.0874922,0.3853489,0.0932796,0.0840608,-0.9141876],[-0.6832895,-0.6601854,-0.7011014,0.8492882,0.3631423,-0.1808098,0.3378534]]},{"n":15,"s":"2.42999+","ref":2.41976,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"behind","sf":2.4299932388203,"st":2.429992847054,"cf":null,"den":0.4928,"vlb":1.91938,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n15.json","ok":true,"ver":true,"cert":["(1) containment, exact, 540 vertex/face tests: ok;  min wall gap ~ 1.000000031670e-07","(2) separation, exact, 105 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-0.8067482,0.6285511,0.1297675,0.2157411,-0.8614702,-0.3942867,0.2363533],[0.7187754,0.4122946,-0.7831309,0.2185379,0.3183706,0.8390562,-0.3832311],[0.743592,0.0019521,0.743592,0.4082483,0.4082483,0.0,0.8164966],[0.7368762,-0.7404091,0.0798069,0.0085062,0.4053932,0.4053932,-0.8192926],[0.0338044,-0.7315669,0.7537279,0.4158178,-0.4043513,-0.8140431,0.030487],[-0.6715594,-0.0126794,0.7749221,0.8656403,0.1969871,0.3873196,0.2486896],[0.7187754,-0.6618573,-0.7831309,0.66106,-0.0405417,-0.4963668,0.5612273],[-0.7187754,-0.6618573,-0.7831309,0.4963668,-0.5612273,0.66106,-0.0405417],[-0.0035612,0.8067482,-0.5188104,0.1461146,0.3741094,0.8759713,-0.2671461],[0.743592,0.743592,0.20915,0.5773503,-0.0,-0.5773503,0.5773503],[0.0121504,-0.1546394,-0.7665766,0.3183706,-0.2185379,0.3832311,0.8390562],[-0.0132736,-0.0513551,0.0758229,0.259356,0.258403,0.8645252,-0.3443232],[-0.7471167,-0.7402189,0.0791398,0.2991545,0.2822509,0.8638432,-0.2908883],[0.004523,0.7410883,0.7412055,0.8251256,0.4060743,-0.392774,0.0001054],[-0.7187754,0.320968,-0.7831309,0.1164557,0.3681803,-0.8184243,0.425515]]},{"n":16,"s":"2.45865+","ref":2.46211,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"better","sf":2.4586579262442,"st":2.458657514093,"cf":null,"den":0.5075,"vlb":1.96112,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n16.json","ok":true,"ver":true,"cert":["(1) containment, exact, 576 vertex/face tests: ok;  min wall gap ~ 1.000000090512e-07","(2) separation, exact, 120 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-0.6332371,0.8210806,0.1152598,0.3908091,-0.8645154,-0.2420601,0.2031949],[0.7294367,0.2970787,-0.8170842,0.1832387,0.336075,0.8237442,-0.4182375],[0.7321855,0.0938,0.7518806,0.5495115,0.3803494,0.1331444,0.731877],[0.6590299,-0.7294992,0.0007533,0.1074694,0.29187,0.3674471,-0.8764958],[-0.8001652,0.1710989,0.7264095,0.8406428,0.3111017,0.2181698,0.3859241],[0.7294367,-0.6550129,-0.8170842,0.697409,-0.0569035,-0.4624102,0.5445727],[-0.7294367,-0.6550129,-0.8170842,0.4624102,-0.5445727,0.697409,-0.0569035],[-0.0177815,0.7647672,-0.6768251,0.1783719,0.2699074,0.8925683,-0.3140945],[0.7439177,0.7232374,0.0592845,0.582402,-0.0279748,-0.5611283,0.5875035],[0.0027581,-0.1923033,-0.8049076,0.336075,-0.1832387,0.4182375,0.8237442],[-0.0471317,-0.0455885,0.0121843,0.2462124,0.2071806,0.864292,-0.3865941],[-0.6538088,-0.7293702,0.0020781,0.2794141,0.1223668,0.8805975,-0.3626324],[0.108666,0.7066055,0.7621104,0.8160085,0.3437792,-0.4513883,-0.1104295],[-0.7294367,0.2778486,-0.8170842,0.1661692,0.3448342,-0.8201161,0.4253079],[0.2143879,-0.7293289,0.8210608,0.4558008,-0.7045211,0.5406451,0.0599878],[-0.6538088,-0.7293702,0.8186051,0.8805975,-0.3626324,-0.2794141,-0.1223668]]},{"n":17,"s":"2.50659+","ref":2.47487,"refsrc":"H. Lin, July 2026 (Hyra-results; Friedman's Packing Center)","refcode":"L","cmp":"behind","sf":2.5065986883377,"st":2.506598266404,"cf":null,"den":0.5088,"vlb":2.00116,"move":"reinsert","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n17.json","ok":true,"ver":true,"cert":["(1) containment, exact, 612 vertex/face tests: ok;  min wall gap ~ 1.000000369733e-07","(2) separation, exact, 136 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002249e-07"],"p":[[-0.7397444,0.7737253,0.1688752,0.7197557,0.5662181,-0.3512897,-0.194793],[0.7894587,0.7749994,-0.7609646,0.5596736,-0.008866,0.5766004,-0.5951628],[0.7776244,-0.1822928,-0.730244,0.3909173,-0.1040709,-0.5819104,-0.7055021],[0.1187065,-0.7532992,-0.845051,0.5406251,0.060003,-0.455768,0.7045563],[0.7972164,-0.6539996,0.1565995,0.6723017,0.608695,-0.1119618,-0.4061592],[-0.7528117,-0.0019531,-0.8433408,0.424838,0.8206161,-0.3412822,0.1721289],[-0.7518725,-0.7725789,-0.573496,0.5550179,0.7392681,-0.233343,-0.3016435],[0.1313063,0.2047477,-0.1842803,0.5056222,-0.4660039,-0.6163828,0.3837432],[0.1778932,-0.7233601,0.8450509,0.872317,0.3802509,-0.2583295,0.1665478],[-0.0056689,0.7586379,0.7517496,0.2815518,0.6008739,-0.7025665,0.2570593],[-0.7709061,-0.7857143,0.7782525,0.2865073,-0.2771464,0.2954337,-0.8682294],[0.7532322,0.035649,0.7535475,0.3826683,-0.0081507,-0.9237485,0.0136801],[-0.1438842,0.7600148,-0.7532159,0.6467665,-0.5430222,-0.0044886,0.535537],[-0.0661166,-0.7316139,0.0077432,0.7802417,0.0867741,-0.4530708,-0.4223978],[-0.7570737,-0.046166,0.0065115,0.4813216,0.5741518,-0.6597817,-0.0580287],[-0.7149861,0.1557752,0.8450509,0.3070325,-0.8867784,-0.04795,0.3421344],[0.767477,0.7997037,0.1771694,0.5735655,-0.537816,0.6175613,0.0198649]]},{"n":18,"s":"2.51875+","ref":2.48257,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"behind","sf":2.5187539798074,"st":2.51875356092,"cf":null,"den":0.531,"vlb":2.03965,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n18.json","ok":true,"ver":true,"cert":["(1) containment, exact, 648 vertex/face tests: ok;  min wall gap ~ 1.000000204310e-07","(2) separation, exact, 153 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-0.6820266,0.7593769,0.8511286,0.8804762,0.3647052,-0.2798481,0.1159169],[0.7875255,0.786631,-0.7884217,0.4078604,-0.0007783,0.8172709,-0.4070843],[0.8448956,-0.1403748,-0.7596392,0.2788488,-0.3593895,-0.1321789,-0.8806879],[0.0395817,-0.7322999,-0.8326228,0.5135153,0.109208,-0.4316397,0.7335276],[0.7861541,-0.7590763,0.1658154,0.6893156,0.5995523,-0.1603981,-0.3737024],[0.8391876,0.7485284,0.1338002,0.4083967,0.1899828,0.8237473,-0.3443241],[-0.762676,-0.7610559,-0.5720349,0.5932897,0.7065606,-0.3272087,-0.2042398],[0.1620557,0.1345574,-0.2084672,0.5236581,-0.470222,-0.5728631,0.4201207],[0.1839999,-0.7586339,0.8511286,0.880625,0.364344,-0.2803183,0.1147812],[-0.6820285,-0.7586339,0.8511286,0.3387927,-0.424481,0.1764675,-0.8209109],[0.7528838,-0.0162006,0.7674971,0.3697242,0.3674614,-0.8441413,-0.1253063],[-0.0619877,0.7880842,-0.7878606,0.5770764,-0.5776242,-0.0001369,0.5773501],[-0.0403616,-0.7612827,0.0219763,0.8164662,0.1362597,-0.4308001,-0.3594823],[-0.7604862,-0.1005636,0.034371,0.5012614,0.6384256,-0.5828084,-0.0385245],[-0.2395684,0.0008849,0.8375362,0.1807144,-0.8072523,-0.34171,0.4460047],[-0.7434715,0.0605902,-0.8462621,0.2991937,-0.8805018,-0.0798966,0.3589099],[0.1839989,0.7593769,0.8511286,0.8204732,0.1759199,0.4247082,0.3398511],[-0.7505385,0.8163308,-0.0652968,0.8691839,0.2663053,-0.2404169,0.3402948]]},{"n":19,"s":"2.55209+","ref":2.52683,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"behind","sf":2.552092982794,"st":2.552092570515,"cf":null,"den":0.5388,"vlb":2.07674,"move":"hop","derived":null,"who":"Alejandro Zarzuelo (search started from the published packing of H. 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Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"better","sf":2.5741813675183,"st":2.574180952252,"cf":null,"den":0.5527,"vlb":2.11255,"move":"hop","derived":null,"who":"Alejandro Zarzuelo (search started from the published packing of H. Lin, July 2026 (Tencent-Hunyuan/Hyra-results))","issue":null,"file":"records/octincub/octincub_n20.json","ok":true,"ver":true,"cert":["(1) containment, exact, 720 vertex/face tests: ok;  min wall gap ~ 1.000000116047e-07","(2) separation, exact, 190 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002249e-07"],"p":[[0.0102139,-0.8788423,-0.127897,0.4305969,-0.8080948,-0.1609696,0.3683177],[-0.1500496,-0.1313485,-0.8788423,0.3421102,-0.8867822,0.0478804,0.3070594],[0.0,-0.8143413,0.8138137,0.4084847,-0.8160272,0.0023222,0.4089431],[-0.0597897,0.8231375,-0.7916706,0.4146348,-0.7951533,-0.0036923,0.442488],[0.8788423,-0.0831561,0.0394818,0.4260396,-0.7792082,0.1292687,0.4411513],[0.388961,0.8768061,0.0730051,0.4549214,-0.7025395,-0.0541445,0.544567],[-0.773141,0.8100828,0.0881876,0.3955434,-0.7471585,0.0790567,0.5282515],[0.181329,-0.0013441,0.8162232,0.407785,-0.8174211,0.0009303,0.4068579],[-0.000411,0.0016238,0.0019203,0.4107038,-0.8145575,0.0011529,0.4096549],[-0.8788423,-0.3098648,-0.0010954,0.5607227,-0.6886691,0.0468316,0.4573092],[0.7010852,-0.8788423,-0.7410669,0.4478834,-0.75329,-0.1035631,0.4703503],[-0.8788423,-0.7098443,0.7817015,0.5472875,-0.6993937,0.0556747,0.456317],[-0.812948,0.395717,-0.7661931,0.2529023,-0.8782425,0.0653626,0.4005725],[-0.773048,-0.7903598,-0.8082971,0.3748596,-0.8502725,0.0907665,0.3581598],[0.8788423,0.6635383,0.7521858,0.4908525,-0.7400939,0.0912287,0.4505576],[0.7337094,-0.0088139,-0.8050572,0.4204986,-0.7953712,-0.0146612,0.436292],[0.8788423,-0.7870906,0.7097403,0.3398511,-0.8204732,0.1759199,0.4247082],[0.7850108,0.8205866,-0.7956162,0.4229267,-0.7892948,-0.0088658,0.4450485],[-0.7723756,0.1533244,0.7876819,0.5686797,-0.6849152,0.0811231,0.4482339],[-0.1133807,0.8788423,0.7870906,0.455768,-0.7045563,-0.060003,0.5406251]]},{"n":21,"s":"2.58957+","ref":2.592849935818519,"refsrc":"H. Lin, July 2026 (Hyra-results; Friedman's Packing Center)","refcode":"L","cmp":"better","sf":2.589573377004,"st":2.589572965578,"cf":null,"den":0.5701,"vlb":2.14719,"move":"hop","derived":null,"who":"Alejandro Zarzuelo (search started from the published packing of H. Lin, July 2026 (Tencent-Hunyuan/Hyra-results))","issue":null,"file":"records/octincub/octincub_n21.json","ok":true,"ver":true,"cert":["(1) containment, exact, 756 vertex/face tests: ok;  min wall gap ~ 1.000000136031e-07","(2) separation, exact, 210 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[0.7356401,-0.8088456,-0.0109185,0.4046482,-0.8159547,-0.015506,0.4125982],[-0.1188785,-0.8447742,-0.0438869,0.4229756,-0.8047514,-0.0537108,0.4130157],[-0.2098683,-0.1218389,-0.8312102,0.4029277,-0.828907,0.0159703,0.387695],[-0.0265866,-0.8069427,0.8207586,0.4189479,-0.8117312,0.0120096,0.4067319],[-0.0261057,0.8197305,-0.804416,0.40474,-0.8129643,0.016437,0.4183353],[0.8282896,0.0440535,-0.0042084,0.4092084,-0.8138868,0.013825,0.4122447],[0.1962564,0.8227592,0.007817,0.4077085,-0.8184937,0.0001653,0.4047738],[-0.763831,0.8185765,0.1111972,0.3944124,-0.8484581,-0.087792,0.3418337],[0.4103658,0.0402707,0.8865383,0.3832658,-0.8702958,0.1768059,0.2538349],[-0.0112985,0.0117172,0.0143193,0.4082809,-0.81449,0.0144314,0.4119521],[-0.8282896,-0.058046,-0.0566887,0.4092084,-0.8138868,0.013825,0.4122447],[0.5387632,-0.8236302,-0.8231347,0.4084629,-0.8160669,-0.0004284,0.408892],[-0.8283118,-0.8005601,0.6020052,0.4378941,-0.7988092,-0.0007829,0.4124948],[-0.8293025,0.6109045,-0.7983855,0.3860587,-0.8246852,0.0283139,0.4123729],[-0.8296493,-0.81758,-0.7462548,0.4026484,-0.8165635,0.020934,0.4131102],[0.8795632,0.7799603,0.7057025,0.3718256,-0.8095387,0.1465782,0.4300088],[0.6270331,0.0070072,-0.8231347,0.4084629,-0.8160669,-0.0004284,0.408892],[0.8209477,-0.8137389,0.8198081,0.4113142,-0.8160118,0.0111208,0.4059824],[0.8187556,0.8195347,-0.8108699,0.4119997,-0.8087727,0.006767,0.4196392],[-0.7285874,0.1303155,0.8726822,0.3775755,-0.8705171,0.1010312,0.2990475],[-0.1032518,0.7947866,0.8865383,0.3647052,-0.8804762,0.1159169,0.2798481]]},{"n":22,"s":"2.60569+","ref":2.60591,"refsrc":"R. 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Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"behind","sf":2.6224629703269,"st":2.622462556466,"cf":null,"den":0.6012,"vlb":2.2133,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n23.json","ok":true,"ver":true,"cert":["(1) containment, exact, 828 vertex/face tests: ok;  min wall gap ~ 1.000000138807e-07","(2) separation, exact, 253 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003359e-07"],"p":[[0.6209748,-0.8417954,-0.8379065,0.5725916,0.5821188,0.0023817,0.5772962],[0.0171521,0.0191412,0.8426633,0.4106236,-0.4094777,0.8146506,-0.0077834],[-0.8112952,0.8999095,0.1282575,0.362124,-0.123927,0.2793165,0.8806194],[-0.8431819,-0.8366094,0.8301268,0.3997173,-0.4054107,0.8220915,-0.0058134],[0.8491863,-0.824147,-0.0271092,0.585706,-0.5899455,-0.5557956,0.0020042],[0.7451063,0.8286565,-0.843506,0.4039459,-0.012997,0.4112168,0.8170432],[-0.055967,0.9029831,-0.3009436,0.8248393,0.4223758,0.3291128,0.1814485],[0.0250628,0.0128709,-0.8463427,0.8115801,-0.0166736,-0.4135167,0.4123878],[-0.1245513,0.9029831,0.7844602,0.2976255,0.4151979,0.8367163,-0.1973209],[0.033627,0.0155078,-0.0070759,0.5887058,0.5620755,-0.0024153,0.5809396],[-0.8292482,0.0147837,-0.8451341,0.3989809,-0.0008402,-0.825214,-0.3997941],[0.0009948,-0.8346688,0.8291325,0.2790036,-0.8676747,0.2967088,-0.2850642],[-0.8112952,0.8999095,-0.7361777,0.8806194,-0.2793165,-0.123927,-0.362124],[-0.8191278,0.0153958,-0.0051584,0.4093788,0.4118417,-0.0152115,-0.8139804],[-0.8332186,0.0179498,0.8429884,0.866278,-0.2959197,0.2851907,0.2840074],[0.0023901,-0.8372037,-0.0215362,0.2799078,-0.8681481,0.2940467,-0.2854945],[0.8314287,0.8292471,-0.0093885,0.3048528,0.2603709,-0.8648,0.3023121],[-0.2295393,-0.839622,-0.8331256,0.2829129,0.2909182,0.8680083,0.2861615],[0.8444245,-0.8342714,0.8278383,0.8240791,-0.0058418,-0.3976875,0.4033661],[0.8370097,0.0030699,-0.6303145,0.4123585,0.4141102,0.00172,-0.8114618],[-0.8431819,-0.8366094,-0.0184675,0.3997173,-0.4054107,0.8220915,-0.0058134],[0.9029831,0.0142171,0.4893773,0.4277288,0.1684427,-0.8143854,0.3541914],[0.7745257,0.7669035,0.8534785,0.8145322,0.1501012,-0.39216,-0.4002717]]},{"n":24,"s":"2.62792+","ref":2.6331889674258844,"refsrc":"H. 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Lin, July 2026 (Tencent-Hunyuan/Hyra-results))","issue":null,"file":"records/octincub/octincub_n25.json","ok":true,"ver":true,"cert":["(1) containment, exact, 900 vertex/face tests: ok;  min wall gap ~ 1.000000072193e-07","(2) separation, exact, 300 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000004470e-07"],"p":[[0.0019781,0.0148973,0.0006276,0.2830168,0.8669162,-0.2882819,-0.2919783],[-0.8454353,-0.8449499,-0.8474543,0.2879029,0.8661722,-0.2873037,-0.2903692],[-0.8453797,-0.8450051,2.18e-05,0.2878018,0.8661382,-0.2874729,-0.2904033],[-0.8454353,-0.8449499,0.8474543,0.2879029,0.8661722,-0.2873037,-0.2903692],[-0.8454353,0.003948,-0.8474543,0.2879029,0.8661722,-0.2873037,-0.2903692],[-0.8453797,0.0039757,5.5e-06,0.2878018,0.8661382,-0.2874729,-0.2904033],[-0.8454353,0.003948,0.8474543,0.2879029,0.8661722,-0.2873037,-0.2903692],[-0.805895,0.8449499,-0.8474543,0.2879029,0.8661722,-0.2873037,-0.2903692],[-0.8056829,0.8450051,3.09e-05,0.2878018,0.8661382,-0.2874729,-0.2904033],[-0.805895,0.8449499,0.8474543,0.2879029,0.8661722,-0.2873037,-0.2903692],[0.0046495,-0.8451537,-0.8452099,0.2858701,0.8663318,-0.2895754,-0.289644],[0.0027493,-0.8378342,0.000945,0.2856315,0.866428,-0.2885744,-0.290589],[0.0041724,-0.8351071,0.8489054,0.2867035,0.8666774,-0.283975,-0.293308],[0.0041585,0.0072144,-0.8443125,0.2832499,0.8668347,-0.2891656,-0.291119],[0.0040831,0.0142334,0.8489054,0.2867035,0.8666774,-0.283975,-0.293308],[0.8041592,0.9098529,-0.7414878,0.4201286,0.8287966,-0.1865926,-0.3190162],[0.049697,0.9019353,-0.3029479,0.4151548,0.8205762,-0.1826821,-0.3477478],[0.8472285,-0.8194444,-0.8461684,0.2890021,0.8656992,-0.2902961,-0.2876994],[0.8469486,-0.8148153,0.002215,0.2890353,0.8658024,-0.2895132,-0.2881439],[0.8467354,-0.791321,0.8464136,0.2886993,0.8657002,-0.2899943,-0.288304],[0.8472376,0.0290993,-0.8461594,0.2890077,0.8656936,-0.2903238,-0.2876826],[0.8469395,0.0336264,0.0022584,0.2890371,0.8658006,-0.2895077,-0.2881531],[0.8467682,0.057405,0.8463928,0.2887195,0.8656947,-0.2900362,-0.2882583],[0.0641351,0.872365,0.8164456,0.3335178,0.87141,-0.2712614,-0.2362788],[0.8175141,0.8629799,0.2281789,0.0370513,0.4216646,-0.4204853,-0.8025075]]},{"n":26,"s":"2.63986+","ref":2.63986,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"equal","sf":2.6398657242766,"st":2.63986531643,"cf":null,"den":0.6662,"vlb":2.30563,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n26.json","ok":true,"ver":true,"cert":["(1) containment, exact, 936 vertex/face tests: ok;  min wall gap ~ 1.000000459106e-07","(2) separation, exact, 325 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[0.8485282,-0.0,-0.0,0.8164966,-0.0,-0.4082483,0.4082483],[0.8485282,0.0,-0.8485282,0.5773503,-0.5773503,-0.5773503,0.0],[0.8485282,-0.8485282,-0.8485282,0.5773503,0.5773503,-0.0,0.5773503],[-0.0,0.0,0.8485282,0.4082483,-0.4082483,0.8164966,0.0],[-0.8485282,0.8485282,0.8485282,0.2886751,-0.2886751,-0.2886751,0.8660254],[-0.8485282,-0.8485282,-0.8485282,0.0,-0.4082483,-0.8164966,0.4082483],[0.8485282,-0.8485282,-0.0,0.5773503,-0.5773503,-0.5773503,-0.0],[0.8485282,0.8485282,-0.8485282,0.4082483,-0.0,0.4082483,0.8164966],[-0.0,0.8485282,0.0,0.8164966,0.4082483,0.4082483,0.0],[0.8485282,0.8485282,0.8485282,0.5773503,-0.5773503,-0.5773503,-0.0],[-0.0,0.8485282,0.8485282,0.0,0.4082483,0.8164966,-0.4082483],[0.8485282,-0.0,0.8485282,0.2886751,0.2886751,0.8660254,0.2886751],[-0.8485282,-0.0,-0.8485282,0.4082483,-0.0,-0.8164966,-0.4082483],[-0.0,-0.8485282,0.8485282,0.2886751,-0.8660254,0.2886751,-0.2886751],[-0.0,0.8485282,-0.8485282,0.8164966,-0.4082483,-0.0,-0.4082483],[-0.8485282,0.8485282,-0.8485282,0.8660254,-0.2886751,0.2886751,0.2886751],[-0.8485282,-0.0,0.8485282,0.8660254,-0.2886751,0.2886751,0.2886751],[-0.0,-0.8485282,0.0,0.2886751,-0.8660254,0.2886751,-0.2886751],[0.8485282,0.8485282,-0.0,0.2886751,0.2886751,-0.8660254,0.2886751],[-0.0,-0.8485282,-0.8485282,0.2886751,0.2886751,0.8660254,0.2886751],[0.8485282,-0.8485282,0.8485282,0.8164966,-0.0,-0.4082483,0.4082483],[-0.8485282,0.8485282,-0.0,0.0,0.8164966,0.4082483,0.4082483],[-0.8485282,-0.8485282,-0.0,0.4082483,-0.8164966,-0.0,0.4082483],[-0.0,0.0,-0.0,0.4082483,-0.8164966,0.0,0.4082483],[-0.8485282,-0.8485282,0.8485282,0.5773503,-0.0,0.5773503,-0.5773503],[-0.8485282,-0.0,-0.0,0.4082483,-0.8164966,0.0,0.4082483]]},{"n":27,"s":"2.63986+","ref":2.63986,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"equal","sf":2.6398657242766,"st":2.63986531643,"cf":null,"den":0.6919,"vlb":2.33482,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n27.json","ok":true,"ver":true,"cert":["(1) containment, exact, 972 vertex/face tests: ok;  min wall gap ~ 1.000000277029e-07","(2) separation, exact, 351 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001694e-07"],"p":[[0.8485282,-0.0,-0.0,0.8164966,-0.0,-0.4082483,0.4082483],[0.8485282,0.0,-0.8485282,0.5773503,-0.5773503,-0.5773503,0.0],[0.8485282,-0.8485282,-0.8485282,0.5773503,0.5773503,-0.0,0.5773503],[-0.0,0.0,0.8485282,0.4082483,-0.4082483,0.8164966,0.0],[-0.8485282,0.8485282,0.8485282,0.2886751,-0.2886751,-0.2886751,0.8660254],[-0.8485282,-0.8485282,-0.8485282,0.0,-0.4082483,-0.8164966,0.4082483],[0.8485282,-0.8485282,-0.0,0.5773503,-0.5773503,-0.5773503,-0.0],[0.8485282,0.8485282,-0.8485282,0.4082483,-0.0,0.4082483,0.8164966],[-0.0,0.8485282,0.0,0.8164966,0.4082483,0.4082483,0.0],[0.8485282,0.8485282,0.8485282,0.5773503,-0.5773503,-0.5773503,-0.0],[0.0,0.0,-0.8485282,0.8164966,-0.0,-0.4082483,0.4082483],[-0.0,0.8485282,0.8485282,0.0,0.4082483,0.8164966,-0.4082483],[0.8485282,-0.0,0.8485282,0.2886751,0.2886751,0.8660254,0.2886751],[-0.8485282,-0.0,-0.8485282,0.4082483,-0.0,-0.8164966,-0.4082483],[-0.0,-0.8485282,0.8485282,0.2886751,-0.8660254,0.2886751,-0.2886751],[-0.0,0.8485282,-0.8485282,0.8164966,-0.4082483,-0.0,-0.4082483],[-0.8485282,0.8485282,-0.8485282,0.8660254,-0.2886751,0.2886751,0.2886751],[-0.8485282,-0.0,0.8485282,0.8660254,-0.2886751,0.2886751,0.2886751],[-0.0,-0.8485282,0.0,0.2886751,-0.8660254,0.2886751,-0.2886751],[0.8485282,0.8485282,-0.0,0.2886751,0.2886751,-0.8660254,0.2886751],[-0.0,-0.8485282,-0.8485282,0.2886751,0.2886751,0.8660254,0.2886751],[0.8485282,-0.8485282,0.8485282,0.8164966,-0.0,-0.4082483,0.4082483],[-0.8485282,0.8485282,-0.0,0.0,0.8164966,0.4082483,0.4082483],[-0.8485282,-0.8485282,-0.0,0.4082483,-0.8164966,-0.0,0.4082483],[-0.0,0.0,-0.0,0.4082483,-0.8164966,0.0,0.4082483],[-0.8485282,-0.8485282,0.8485282,0.5773503,-0.0,0.5773503,-0.5773503],[-0.8485282,-0.0,-0.0,0.4082483,-0.8164966,0.0,0.4082483]]},{"n":28,"s":"2.75731+","ref":2.75738,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"better","sf":2.7573183585671,"st":2.757317929499,"cf":null,"den":0.6296,"vlb":2.36329,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n28.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1008 vertex/face tests: ok;  min wall gap ~ 1.000000204310e-07","(2) separation, exact, 378 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001139e-07"],"p":[[-0.9000977,0.8840625,0.9151349,0.2937649,0.2744234,0.3113369,-0.8610826],[0.9067986,0.9063695,-0.907591,0.0006851,-0.8160191,0.4089111,-0.408539],[0.9114396,-0.0449662,-0.9032816,0.4117992,-0.006886,-0.809274,-0.4188671],[0.014528,-0.9393706,-0.885211,0.1978543,-0.2782857,-0.8783379,0.3345642],[0.9042535,-0.8858323,0.0770982,0.2853518,0.8683489,-0.2787151,-0.2947244],[-0.9056989,-0.0234875,-0.9088217,0.0026782,0.8138032,-0.4122494,-0.4095945],[0.9041695,0.9104659,0.0429274,0.405421,0.0109099,0.8165148,0.4108752],[-0.841817,-0.936539,-0.8644804,0.382024,0.4238976,-0.816507,0.0876628],[0.0180593,-0.9231372,0.0242567,0.0528457,0.4426662,-0.4184552,-0.791296],[0.8418214,-0.8952823,0.9108046,0.8223737,-0.3976341,-0.4068176,0.0093882],[-0.9286402,-0.8553826,0.8906348,0.3878867,-0.817163,0.4211056,-0.0667733],[0.9031263,-0.0568587,0.9110513,0.2910922,0.2810923,0.3025745,-0.8629607],[-0.0450538,0.9063059,-0.9082148,0.8666045,0.2904221,-0.2880984,0.2857463],[-0.8412178,-0.9476145,0.0586806,0.791207,-0.0889644,0.422831,0.4327711],[-0.9460199,-0.0386395,-0.0003345,0.7523147,0.4898414,-0.0480335,-0.4379163],[-0.9158101,0.0138253,0.8995462,0.2732184,-0.3131581,-0.8606486,0.2942239],[-0.0607718,0.9169259,0.0309018,0.5549384,0.6030743,0.0142701,0.572836],[0.0115701,0.881966,0.9444739,0.3143195,0.3781488,0.2235804,0.8415572],[0.9054414,-0.8883314,-0.881866,0.4105911,0.8161069,-0.4047002,-0.0400286],[-0.9460199,0.8794704,0.0039043,0.1117382,-0.4261367,0.3742115,0.8160195],[-0.0539907,-0.0318373,-0.9011254,0.4032609,0.0008115,-0.4029045,-0.821613],[-0.0486622,-0.008604,0.0520249,0.4024772,-0.4159265,0.0009465,0.8154854],[-0.8969492,0.9055889,-0.8951691,0.3990401,-0.0121136,-0.3974597,0.826224],[0.9061321,-0.0305964,0.060174,0.414681,-0.8137362,0.4072208,0.0066478],[0.0048128,-0.0426356,0.9491306,0.439156,-0.7558077,0.482159,0.0584765],[0.9127246,0.8875642,0.9013507,0.2776658,0.3089211,-0.8614382,-0.292222],[0.4399404,0.4308827,-0.4357091,0.4946421,0.4960732,-0.4957957,-0.5132516],[-0.0292402,-0.9261464,0.8837668,0.017864,0.3709205,0.844014,0.3869615]]},{"n":29,"s":"2.82842+","ref":2.85384,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"better","sf":2.8284275556868,"st":2.828427124746,"cf":"2\u221a2","den":0.6042,"vlb":2.3911,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n29.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1044 vertex/face tests: ok;  min wall gap ~ 1.000000475204e-07","(2) separation, exact, 406 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-0.9274659,0.9320236,0.9067825,0.2985719,0.3229362,0.2681452,-0.8571261],[0.9347046,0.9330714,-0.9435514,0.0010853,-0.5823589,0.5801282,-0.5694806],[0.9257048,0.006169,-0.9300236,0.5635192,0.0017427,-0.5555066,-0.6114373],[0.0212608,-0.942132,-0.9295242,0.0195983,-0.3823619,-0.8325816,0.4002788],[0.8870042,-0.9217704,-0.0300472,0.3870259,0.8469716,-0.2349897,-0.2786214],[-0.9349957,0.0487659,-0.938869,0.2811844,0.8651254,-0.2930925,-0.294262],[0.9366373,0.9244659,-0.0008693,0.5609918,-0.004038,0.5758764,0.5946749],[-0.9428092,-0.9428092,-0.9428092,0.2886751,0.2886751,-0.8660254,-0.2886751],[0.0126199,-0.9632397,0.0586465,0.0678625,0.4109311,-0.4227662,-0.8048597],[0.9170406,-0.9572243,0.9028572,0.8603243,-0.3309453,-0.2848073,0.2630629],[-0.8544416,-0.9095494,0.9420628,0.3337666,-0.8713137,0.2694435,0.2383539],[0.9332798,-0.0423176,0.9461362,0.2926421,0.2757475,0.3159403,-0.8593635],[-0.0177866,0.8832074,-0.9526138,0.8191108,0.4144104,-0.0851308,0.3873941],[-0.9422099,-0.9191981,0.0766793,0.5536421,-0.00296,0.5805927,0.5969789],[-0.9489442,0.0484242,0.000129,0.8566917,0.3033487,-0.2687544,-0.3191082],[-0.9320624,-0.0105492,0.9209877,0.4004295,0.0217493,-0.8466697,0.3497622],[-0.011177,0.9245881,-0.0601416,0.3979188,0.8321888,0.021403,0.3855702],[-0.013137,0.9441926,0.9334836,0.392452,0.0146474,0.4019027,0.8271887],[0.9463472,-0.9237913,-0.9299963,0.2847561,0.8647874,-0.3041868,-0.280227],[-0.8956134,0.9557277,0.0201315,0.0380788,0.421488,-0.4201087,-0.8027494],[-0.0037304,0.0047091,-0.9164456,0.8242228,0.0001113,-0.3871627,-0.4132334],[-0.0109028,-0.0343419,0.0452446,0.81647,-0.4139385,0.0,0.4025315],[-0.9404567,0.9178737,-0.8841758,0.2866137,0.3285157,0.2626405,-0.8607845],[0.034892,-0.898719,0.9579584,0.8507607,-0.3713951,0.3718236,-0.0043788],[-0.054491,-0.0310702,0.9626533,0.3555945,-0.8627957,0.2366411,0.2704388],[0.9428092,0.9428092,0.9428092,0.2886751,0.2886751,-0.8660254,-0.2886751],[-0.4813772,-0.4816294,-0.4512071,0.7168253,0.0198552,-0.6969701,-0.0],[0.9364354,-0.0496529,0.0110513,0.6011581,-0.5655233,-0.5641802,-0.022205],[0.472491,0.4570098,0.484713,0.4925032,-0.4925032,0.4925032,0.5218446]]},{"n":30,"s":"2.88658+","ref":2.89186,"refsrc":"R. Walsh, June 2026 (Friedman's Packing Center)","refcode":"W","cmp":"better","sf":2.8865896306802,"st":2.886589169442,"cf":null,"den":0.588,"vlb":2.41827,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n30.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1080 vertex/face tests: ok;  min wall gap ~ 1.000000415807e-07","(2) separation, exact, 435 pairs, each with an explicit rational plane: ok;  min plane margin ~ 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1.000000002804e-07"],"p":[[-0.9784039,1.0034948,0.9839904,0.4143716,0.4093769,0.0216694,-0.8125498],[1.0029653,0.9890665,-0.730637,0.2848235,-0.3011222,0.8700026,-0.2670139],[0.9715319,0.1886315,-1.0075148,0.8094419,0.0308744,-0.4172083,-0.4120531],[-0.1644487,-0.9941567,-0.9972887,0.4095798,-0.4068673,-0.8165011,0.0054252],[1.0247198,-0.9750562,-0.0722146,0.3095632,0.846752,0.237139,-0.3618657],[-0.9843918,-0.071737,-0.9275483,0.3326681,0.8547902,-0.2673632,-0.2952669],[0.9971638,0.9942769,0.1286179,0.5738169,0.001768,0.5773205,0.5808891],[-0.9937592,-0.9977045,-0.8745286,0.4065432,-0.0034601,-0.4031261,-0.819878],[0.0882543,-1.0588633,-0.0193041,0.3601763,-0.1018001,-0.2856534,-0.8822199],[0.9784729,1.0018451,0.9900159,0.2775424,-0.8621952,0.3065569,0.2925963],[-0.9957071,-0.9957071,0.9957071,0.2886751,-0.8660254,0.2886751,0.2886751],[1.0109083,0.0813452,0.9830275,0.2614384,0.3302506,-0.8562907,-0.298916],[-0.9937592,-0.9977045,-0.0259766,0.8647945,0.2946881,0.2899161,0.2850228],[-1.0588633,0.0039441,-0.0330133,0.7561392,0.465756,-0.1062876,-0.4472447],[-0.9966315,-0.0521362,0.9927334,0.0013806,-0.4090458,-0.8146939,0.4110395],[0.1576274,1.0326648,-0.1020099,0.0556858,0.7654653,-0.4355443,0.4703861],[0.9795416,-0.9695981,-0.9968542,0.4227887,0.8092901,-0.4071105,0.0236704],[-1.0018555,0.9900069,-0.1934362,0.02055,-0.4130278,0.4027577,0.8165611],[0.0759594,0.1819627,-0.0960931,0.6544136,-0.4727501,-0.5896504,0.0237195],[-0.8300842,0.9133742,-1.0065584,0.3353299,0.2540425,0.331364,-0.8445201],[1.0444518,0.1462178,-0.109056,0.2339017,-0.8626446,0.2445124,0.3759629],[-0.0480088,-0.9675573,1.0047608,0.8728355,-0.2864584,0.3023185,-0.2543685],[-0.5601322,-0.5275367,0.4852386,0.5062648,-0.4978942,-0.4978942,0.4978942],[0.6245823,-0.4117218,0.4577143,0.4299918,-0.48114,-0.535113,-0.5452205],[0.3903444,-0.3912685,-0.7453215,0.0015611,0.9999729,0.0050939,-0.0050731],[0.0760997,0.9836465,-1.0100192,0.4179377,0.3949982,-0.8168167,-0.0459885],[1.0226866,-0.9456053,0.9580612,0.8018086,0.4139551,-0.0658341,-0.4259224],[0.0147997,0.0423782,1.0110704,0.8759708,-0.4019783,-0.126268,-0.2348297],[-0.1990036,0.171242,-1.0203977,0.5973245,-0.5247672,-0.0039871,0.6064709],[-0.4511627,0.694941,0.4193793,0.4971482,0.5204496,0.4510395,0.5277682],[0.0578614,1.01467,0.9805563,0.2548115,0.8537564,-0.3393325,0.3017028]]},{"n":32,"s":"2.99146+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.9914674160296,"st":2.991466949129,"cf":null,"den":0.5635,"vlb":2.47086,"move":"hop","derived":null,"who":"Alejandro 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1.000000001694e-07"],"p":[[1.0767569,0.996511,-0.9274863,0.2783262,-0.3553495,0.8806465,-0.143955],[0.9702885,-0.0920057,-1.0711165,0.467404,0.4403789,-0.0762682,-0.7627471],[-0.0839511,-1.0454339,-0.9299882,0.7366363,-0.008702,-0.5251448,0.4260449],[0.9189713,1.0874853,0.1224187,0.1357559,-0.2715471,0.8776363,-0.3709273],[-1.0212346,-1.0211081,-0.8025874,0.8106528,0.4050883,-0.422437,0.017103],[1.0006154,-1.0329948,1.0165316,0.8605776,0.273022,-0.2942992,0.3134537],[0.9692855,0.9810738,1.0552256,0.3542302,0.2702699,-0.8593255,-0.2510672],[-1.0299728,-1.0118608,1.0050517,0.0163835,-0.8255754,0.4066814,-0.3908543],[1.083221,-0.1199824,0.9327198,0.3175928,0.3414482,-0.8840384,-0.0319997],[0.1220641,1.0874853,-0.9257262,0.4591015,-0.5950877,0.0234671,0.6592009],[-0.9752287,-1.0165556,0.0911905,0.3632279,-0.0036007,0.8407708,0.4014437],[-1.0874853,-0.1830613,-0.120529,0.1878331,0.4195755,-0.8297356,-0.3165659],[-1.0207778,-0.1534594,1.0280488,0.4112641,-0.8165209,-0.4049652,-0.0126],[-0.1040746,1.0874853,0.0801262,0.4125058,0.8406445,-0.2028887,-0.2863423],[0.0235153,-0.1483955,1.0874853,0.457062,0.6915469,-0.5571696,0.0491855],[-0.1559946,0.9417331,1.0707238,0.4315631,0.8020435,-0.396552,0.1150041],[0.9148797,-0.9595056,-1.0626985,0.2435672,0.2652434,-0.8578158,0.3667056],[-1.0832302,0.9958558,-0.0241696,0.165534,-0.4253405,0.3451544,0.8200929],[0.0853328,-0.1868909,-1.0874853,0.4589365,-0.5907219,-0.6631159,0.0264981],[-0.680177,0.4370122,0.4463387,0.7456492,-0.6466925,0.1103579,-0.1166931],[0.4667579,0.4784899,0.6129489,0.0406705,0.7479213,-0.6585681,-0.0724411],[-0.1513358,-1.0602131,0.9891514,0.8490506,0.2339225,0.2950806,-0.3705682],[-0.0822892,-0.1985628,-0.1062273,0.1190137,0.7255356,0.4611584,-0.4967563],[0.5598668,0.4378588,-0.4637187,0.0068302,0.0401411,0.9915718,0.1229933],[1.0375853,-0.1292386,-0.1148559,0.8945453,-0.1541055,0.3142594,-0.277995],[0.425307,-0.7206141,0.5013735,0.0445565,0.0391866,0.0765925,0.9952953],[-0.5275272,0.3726232,-0.7008971,0.5720936,-0.4885794,-0.4715596,-0.4600333],[-0.1322342,-1.0454339,-0.0878306,0.4259942,0.4906975,-0.0109086,0.760017],[0.9291406,-1.0874853,-0.1555659,0.3359915,0.8875536,-0.3137428,-0.0303922],[-1.050925,0.9627626,1.0048605,0.8484672,0.3076208,-0.2413912,-0.3566554],[-1.002643,0.9593516,-1.0532206,0.2084906,0.3314268,0.277943,0.8771748],[-1.0111633,-0.2168323,-1.0314841,0.4140357,-0.4145163,-0.8102162,0.0173322]]},{"n":33,"s":"3.03494+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.0349405875007,"st":3.034940115798,"cf":null,"den":0.5565,"vlb":2.49633,"move":"hop","derived":null,"who":"Alejandro 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9.999996808396e-08"],"p":[[-0.9855754,1.0167393,1.0749042,0.8523767,0.2439967,-0.3571053,-0.293931],[0.9664819,1.0217667,-1.0840468,0.3801959,-0.3170335,0.840218,-0.2213018],[1.0266951,-0.1164253,-1.0712543,0.4703656,0.4279647,-0.0363859,-0.7708946],[-0.1311887,-1.1092219,-0.99423,0.5708193,-0.0400814,-0.6803238,0.4579502],[1.1079861,-0.9423709,-0.1756878,0.8314689,0.3133821,-0.1910401,-0.4170788],[-1.0448116,-0.1935495,-1.0473401,0.2925348,0.8652419,-0.2894628,0.286341],[1.010286,1.0752125,-0.1773135,0.2821904,-0.2484656,0.8562079,-0.3543182],[-1.0417628,-1.0412902,-1.0463576,0.8204279,0.4040717,-0.4044851,-0.0039933],[0.235605,-0.8512137,-0.3052064,0.9031074,-0.1116937,-0.2484778,-0.3319342],[1.0459221,-1.0459221,1.0459221,0.8660312,0.2888097,-0.2883648,0.2888332],[1.1092219,0.9538653,0.9414743,0.2212074,0.4029791,-0.8526546,-0.2483048],[-0.1838899,0.9844012,-1.094548,0.6346911,-0.4828401,0.0122726,0.6032264],[-1.0408735,-1.0516268,-0.1919909,0.4032959,0.0186458,0.8165497,0.4126152],[-1.1092219,-0.0909948,0.1908099,0.1581498,0.4316405,-0.8056685,-0.3735952],[-1.017531,-0.1052531,1.1062212,0.4251753,-0.8202051,-0.3435995,-0.168609],[-0.0370911,1.1092219,-0.1816436,0.3925526,0.4352615,-0.7966038,0.147893],[-0.0022622,-0.1700302,1.1092219,0.4134035,0.2900758,-0.8393635,-0.2010533],[0.2168213,1.052344,1.0402541,0.4030369,0.8266447,-0.3925573,-0.0108886],[1.0242528,-0.9761005,-1.0776455,0.2326166,0.3116603,-0.8449088,0.367269],[-0.9410699,1.1092219,0.171902,0.0469055,0.5606115,-0.4573016,-0.6887597],[-0.13967,-0.1799907,-1.1092219,0.4452591,-0.4520706,-0.7644,0.1143205],[-0.5235438,0.4491522,0.6645484,0.7419933,-0.6504817,-0.0034006,-0.1621972],[0.537715,0.6168155,0.3187655,0.0127092,0.6510669,-0.7585617,0.0231191],[0.0285651,-1.1092219,1.0174702,0.8804762,0.3647052,-0.1159169,-0.2798481],[0.399076,0.4822033,-0.8040353,0.0188209,0.018561,-0.9905118,-0.1348617],[1.1092219,0.1213575,-0.1450975,0.7338567,-0.5001294,0.0855501,-0.4516703],[-0.4294035,-0.7683619,0.4210338,0.062055,0.0190786,0.9804041,-0.1859917],[0.6691836,-0.4519423,0.4641863,0.4625577,0.4615736,0.4249247,0.6264417],[-0.7603829,0.3875867,-0.4957584,0.7561209,-0.0006054,0.6432672,-0.1203668],[-1.0112615,-1.0853829,0.9686207,0.8107986,-0.4277431,0.3848862,-0.1072568],[1.0986875,-0.0039014,1.0182197,0.4734575,0.0516666,-0.6855394,0.5506399],[-1.0969837,0.9538327,-1.0050709,0.3644806,0.31083,-0.8750461,0.0695188],[0.0128155,0.0346659,-0.0128001,0.5236518,-0.5013567,0.5917229,0.3525541]]},{"n":34,"s":"3.07374+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.0737400064687,"st":3.073739530016,"cf":null,"den":0.5519,"vlb":2.5213,"move":"hop","derived":null,"who":"Alejandro 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9.999999983634e-08"],"p":[[-1.0583208,1.0794651,0.8408041,0.8448783,0.360552,-0.294457,-0.2635868],[0.8514636,1.1187069,-1.0170155,0.2174627,-0.2552182,0.8682325,-0.365713],[1.1363033,0.239642,-0.9904159,0.4007002,0.2253092,-0.2395886,-0.8551447],[0.1568121,-1.0417517,-1.1199712,0.2748476,0.166394,-0.8789407,0.35247],[-1.0754013,0.1986747,-1.0709557,0.2818327,0.8673579,-0.2873555,0.2927242],[1.0503543,1.0916835,0.2018481,0.5811447,-0.4890758,0.648066,0.0555534],[-1.0228224,-0.8591824,-1.1230097,0.875458,0.320143,-0.3586326,-0.0496424],[0.0894762,-1.1363033,-0.2055632,0.4763496,0.0999839,-0.7495106,-0.448696],[1.0732901,-1.0727188,1.0730044,0.8661128,0.2882376,-0.2889374,0.2885878],[1.000795,0.9884598,1.1019973,0.3688266,0.335983,-0.836689,-0.2259067],[-1.0508779,-1.0763986,0.9855828,0.0064306,0.7898801,-0.4227107,0.4442564],[1.0730519,-0.1299093,1.0732423,0.28885,0.2883835,-0.8660837,-0.2886169],[-0.1401411,1.0711428,-1.0752039,0.4064479,-0.4099653,-0.0070352,0.8165042],[-0.9945513,-1.1363033,-0.2426182,0.4257517,0.1294316,0.7793655,0.4411035],[-1.115508,-0.1871051,1.0474784,0.364945,-0.8186542,-0.4257805,0.1238196],[-0.2013599,-0.0956925,1.1363033,0.7817226,0.4403765,-0.1318842,0.4214083],[-0.2429363,0.9926597,1.1363033,0.4461216,0.7609155,-0.4579112,0.1109073],[1.0582783,-1.0064907,-1.0337139,0.3291999,0.3195329,-0.8657431,0.2000375],[-1.062388,1.0532299,-0.122232,0.0631925,-0.6030341,0.5006324,0.6178379],[0.2281278,0.2482275,-1.1330179,0.1679122,-0.3439529,-0.8201796,-0.4252143],[-0.7597979,0.2740731,0.4725385,0.6323282,-0.7681063,-0.007613,0.1005777],[0.3439193,0.5290772,0.777367,0.0590891,0.7072803,-0.6911957,0.1360569],[0.1306687,-1.0723047,1.0733789,0.8657918,0.2894749,0.2881578,-0.2890917],[0.1281535,-0.138581,0.1238547,0.0931332,0.986944,-0.0932454,-0.0925911],[0.4790581,0.7601676,-0.2786474,0.0712511,-0.0590772,-0.9919912,-0.0859457],[-0.5293659,-0.7806824,0.3461409,0.0001029,0.1305768,0.9895043,0.0618941],[0.6024883,-0.6013154,0.6009966,0.5005554,0.4999493,0.4999494,0.4995453],[0.7668108,-0.3533051,-0.5398569,0.707744,-0.6916331,0.0452977,0.1367126],[-0.3422912,0.3364612,-0.3448748,0.1666658,0.608566,-0.7758026,0.0003692],[-1.1332889,-0.2281162,-0.2605914,0.4607708,0.0576721,-0.5436192,-0.6991726],[1.0730994,-1.0731948,0.1284166,0.288646,0.8660546,0.2887627,-0.2885292],[-1.079121,1.0563452,-1.0675971,0.5632617,0.0070627,-0.5915252,0.5768747],[-0.2308852,1.1342026,0.2280847,0.822199,0.1797731,-0.3378599,0.4213325],[1.1363033,0.1887659,0.0781255,0.6473787,0.6079276,-0.0144401,-0.459474],[-0.3067461,-0.4500374,-0.7984516,0.4378518,0.4528535,-0.6210644,-0.4663567]]},{"n":36,"s":"3.11859+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.1185923631199,"st":3.118591874672,"cf":null,"den":0.5595,"vlb":2.5698,"move":"hop","derived":null,"who":"Alejandro 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1.000000002804e-07"],"p":[[-1.0318613,1.018536,1.1297385,0.8664177,0.2540894,-0.3628988,-0.2303551],[1.0838592,1.0921426,-1.0757178,0.2913575,-0.2809381,0.8633877,-0.3012414],[1.1510478,0.1874572,-1.0592961,0.4247082,0.1759199,-0.3398511,-0.8204732],[0.2649138,-1.0980828,-1.0788838,0.29535,0.3175018,-0.8595902,0.2703065],[-1.0953464,-0.2518634,-1.081087,0.4268504,0.8036546,-0.0118108,0.4144858],[0.9956755,1.1411693,0.2390869,0.6616514,-0.4741897,0.5799905,-0.0311867],[-1.0257193,-1.1494644,-0.988967,0.7957822,0.4354698,-0.395633,-0.1434268],[0.2853604,-1.1510478,-0.1760807,0.5122396,0.0780424,-0.7254555,-0.4530279],[1.0090691,0.9951034,1.1510478,0.3927285,0.210088,-0.8628663,-0.2389334],[-0.9969776,-1.1347703,1.0610872,0.2054464,0.8334748,-0.3969971,0.3248152],[1.0723516,-0.0739151,1.1074815,0.423996,0.4546591,-0.7827939,-0.0273178],[0.0711601,1.1510478,-1.0395285,0.453268,-0.7238612,-0.0766352,0.5144901],[-1.0592961,-1.1510478,-0.0210665,0.3398511,0.1759199,0.8204732,0.4247082],[-1.0979978,-0.254368,1.0789501,0.3990589,-0.8166634,-0.4155921,0.0331073],[-0.1689273,-0.2236717,1.1510478,0.8179176,0.4260075,-0.1727497,0.3459566],[-0.0777024,1.0598012,1.1423989,0.4495696,0.720675,-0.5248032,0.055645],[1.1157329,-0.9402803,-1.0634153,0.3320559,0.2758485,-0.8754612,0.2172882],[-1.080545,1.0927866,0.2254834,0.0220813,0.4046033,-0.4162364,-0.8139754],[0.2509007,-0.1737204,-1.0615854,0.2207707,-0.3216137,-0.8651585,-0.3151598],[-0.7312611,0.3303408,0.6198186,0.6784764,-0.7335927,-0.0262892,0.0286434],[0.4173207,0.4796303,0.8298161,0.1589636,0.6713627,-0.7164735,0.1032882],[0.2207277,-1.1241202,1.0633912,0.8615334,0.3812699,-0.0630518,-0.3292687],[0.2997761,-0.3181274,0.2947716,0.2050276,0.9647712,-0.0961762,-0.1339043],[0.5625345,0.7823863,-0.3565675,0.1320711,0.1725837,0.9760779,0.0066415],[-0.3427852,-0.9291522,0.4720758,0.0560762,-0.1092453,-0.9707906,0.2061224],[1.0204021,-0.9157758,1.0487567,0.256456,0.2305965,0.2929495,0.8917601],[0.9015699,-0.3652086,-0.4416563,0.6581991,-0.729285,-0.0026777,0.1868428],[-0.1490824,0.2869784,-0.2061032,0.5142375,0.4018898,-0.7410874,0.1575873],[-1.0844415,-0.2696636,0.1312425,0.4120344,-0.0014802,-0.4105376,-0.8134398],[1.1510478,-1.0275788,0.2213811,0.0614306,-0.8859466,-0.3467641,0.3017938],[-1.0917584,1.0842064,-1.0767725,0.5681144,-0.0046263,-0.5771463,0.5866232],[-0.1119688,1.1510478,0.1442513,0.7195337,0.0728422,-0.520525,0.453893],[1.1510478,0.2347611,0.1938208,0.7039219,0.5414509,-0.0594685,-0.4558381],[-0.480094,0.4144458,-1.062639,0.614806,0.3003064,-0.6885627,-0.2402311],[-0.3805734,-0.6183903,-0.6891138,0.0420973,0.0558319,0.7334178,0.6761723],[-1.0617132,0.433677,-0.4384456,0.6965209,0.2930663,-0.6078108,0.2440017]]},{"n":37,"s":"3.15314+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.1531405172351,"st":3.153140031065,"cf":null,"den":0.5564,"vlb":2.59337,"move":"hop","derived":null,"who":"Alejandro 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9.999999994736e-08"],"p":[[-0.9649066,1.078649,1.150788,0.8189275,0.1322325,-0.425959,-0.3611526],[1.1683219,0.9388828,-1.0226995,0.2227769,-0.4021136,0.8536162,-0.2449785],[1.1683219,-0.0152925,-1.0765701,0.4247082,0.1759199,-0.3398511,-0.8204732],[0.2824211,-1.10924,-1.1012926,0.2912429,0.3007359,-0.8634986,0.2812571],[-1.0793073,-0.2522635,-1.090083,0.3624889,0.8486576,0.0976009,0.372634],[1.0864371,1.1303327,0.2015096,0.5702021,-0.5231737,0.6327859,0.0272174],[-1.0765701,-1.1683219,-0.9992199,0.8204732,0.4247082,-0.3398511,-0.1759199],[1.095347,1.08426,1.1066955,0.3989658,0.0234552,-0.8300254,-0.3890167],[-1.0179708,-1.1497662,1.075149,0.1265483,0.81622,-0.4268367,0.368213],[1.0766181,-0.216865,1.1656576,0.4538601,0.5358069,-0.7095562,-0.0587529],[0.3323519,1.0180574,-1.0791356,0.5581079,-0.6689275,0.0441622,0.4889798],[-1.0765701,-1.1683219,0.0420661,0.3398511,0.1759199,0.8204732,0.4247082],[-1.1223804,-0.2727181,1.0911339,0.3921215,-0.8169464,-0.4193494,0.0546395],[-0.0566325,1.0765701,1.1683219,0.455768,0.7045563,-0.5406251,0.060003],[1.1509868,-1.0786021,-1.015479,0.395066,0.2073403,-0.8342898,0.3238725],[-1.0671862,1.1058478,0.2845363,0.0193204,0.3734138,-0.4083819,-0.8327143],[0.2600873,-0.1691158,-1.0257085,0.1491883,-0.3524191,-0.8469482,-0.3690831],[0.4430096,0.4438681,0.974334,0.3016099,0.688433,-0.6533165,0.0909339],[0.2265143,-1.1328463,1.0591154,0.8546634,0.3661962,0.0021347,-0.3680302],[0.2892452,-0.3251335,0.2942859,0.2639703,0.9163754,-0.2050404,-0.2203048],[0.6753509,0.5739928,-0.2905523,0.0249262,-0.076774,-0.9966834,-0.0103311],[-0.4447885,-0.8914519,0.4840625,0.0587223,-0.1896694,-0.9797939,0.0241084],[1.0933091,-1.1026184,1.0535977,0.3024586,0.25846,0.2708953,0.876546],[-1.0634425,-0.2627122,0.1598913,0.4812255,-0.0119629,-0.4659626,-0.7424],[1.1317514,-1.0679781,0.1953081,0.0136705,-0.8533152,-0.3744119,0.3626045],[-1.1683219,1.0765701,-0.9992199,0.455768,-0.060003,-0.5406251,0.7045563],[0.0905647,1.0619349,0.2608158,0.8283548,0.1426039,-0.355859,0.4084812],[1.1203033,0.1583918,0.2874459,0.7794403,0.4637911,-0.0118687,-0.4209867],[-0.421466,0.3567448,-1.1683219,0.4511645,0.4958479,-0.7367564,-0.0881786],[-0.3864391,-0.7023316,-0.6078722,0.0317391,0.1019073,0.8674124,0.4860074],[-1.0962655,0.4425272,-0.4062514,0.7777429,0.3125191,-0.4898096,0.2398631],[-0.3179443,1.1683219,-0.4615457,0.8315865,-0.1903021,0.3116714,0.4184614],[-0.6650772,0.3267506,0.6593977,0.0768976,0.6439392,-0.0374572,-0.7602802],[-0.1742906,-0.2273216,1.1683219,0.3711765,-0.1365617,-0.8775113,0.2712064],[-0.2003868,0.1227977,-0.2091038,0.5387164,-0.5955098,-0.0834797,0.590071],[0.2313998,-1.1683219,-0.1427563,0.1259525,-0.2756699,-0.8790967,0.3678736],[0.8828238,-0.4694669,-0.4553418,0.0533396,0.9787054,-0.0322202,-0.1955823]]},{"n":38,"s":"3.18237+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.18237867672,"st":3.182378187021,"cf":null,"den":0.5558,"vlb":2.61653,"move":"hop","derived":null,"who":"Alejandro 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1.000000005025e-07"],"p":[[-1.0010983,1.0921665,1.1709131,0.8194032,0.1462159,-0.4259586,-0.3546245],[1.1829409,1.033818,-0.9742764,0.2302568,-0.3978777,0.8580477,-0.2289744],[1.1829409,0.1526693,-1.0332077,0.3978777,0.2302568,-0.2289744,-0.8580477],[0.2629403,-1.0914261,-1.177018,0.2788911,0.1313684,-0.8806848,0.3596615],[1.1058428,1.1297767,0.3045375,0.5700984,-0.5432767,0.6161315,0.0148429],[-0.9099969,-1.1829409,-1.0147467,0.8106218,0.4294737,-0.3627223,-0.1639426],[0.243237,-1.1798355,-0.2279449,0.5838903,0.0303844,-0.6658112,-0.463513],[-1.0000154,-1.1354347,1.072168,0.0129157,0.7790051,-0.4213859,0.4641317],[1.0976336,0.0251393,1.1353921,0.4204031,0.4299605,-0.7983929,-0.0310485],[0.3481396,1.0274168,-1.0934553,0.5571881,-0.6711261,0.0451665,0.4869201],[-1.0460615,-1.1829409,-0.1243613,0.4153326,0.1352958,0.7849675,0.4393403],[-1.1644807,-0.2864398,1.0934941,0.3622355,-0.8188492,-0.4259221,0.1298533],[-0.1226771,1.0920362,1.1717428,0.4477389,0.7253646,-0.520038,0.0541894],[1.1363751,-1.0611207,-1.0558934,0.3068443,0.2902489,-0.8835506,0.2023377],[-1.0602959,1.1084458,0.3148018,0.0120772,-0.3527831,0.3981243,0.8466967],[0.2759681,-0.068193,-1.1402197,0.1627327,-0.3476587,-0.792639,-0.4736823],[0.3527544,0.4974004,0.8663646,0.1240151,0.6653129,-0.7288182,0.1039379],[-0.0022964,-1.1610646,1.0700307,0.8683931,0.3614621,-0.0288171,-0.3382428],[0.686234,0.6725635,-0.2588077,0.0131978,-0.0493929,-0.9986548,0.0086486],[1.1197847,-1.1197847,1.1197847,0.2886751,0.2886751,0.2886751,0.8660254],[0.8427138,-0.4081927,-0.5395733,0.7245641,-0.6718141,0.0699702,0.1370282],[-0.3014815,0.3018544,-0.2852022,0.4114085,0.4114327,-0.8133058,-2.39e-05],[1.1512089,-1.0980396,-0.0417503,0.0556076,-0.8569895,-0.3849653,0.3380509],[-1.1829409,1.0911892,-1.0138389,0.455768,-0.060003,-0.5406251,0.7045563],[0.0879825,1.1823911,0.2594612,0.8044812,0.1561192,-0.3766615,0.4319292],[1.1256659,0.1975506,0.2558197,0.8096759,0.4166529,-0.0127523,-0.4131134],[-0.3130286,-0.6362972,-0.663286,0.0414361,0.0629514,0.7702435,0.6332813],[-1.1829409,0.4352536,-0.3962899,0.8324352,0.3093976,-0.4179398,0.191445],[-0.3321016,1.1829409,-0.5002455,0.8350901,-0.1950665,0.3021585,0.4162618],[-0.6834277,0.3050128,0.6724141,0.0501135,0.614768,-0.0273931,-0.7866375],[-0.2248771,-0.2594923,1.1829409,0.3754427,-0.1504999,-0.8752285,0.2652691],[0.6594497,-0.6400077,0.6456831,0.8164947,0.0,0.4097778,0.4067168],[-0.447661,0.3821588,-1.1742635,0.2003652,-0.3006247,0.8280213,0.4287882],[-0.5066836,-0.8386262,0.3898657,0.6939994,-0.0865373,-0.7021398,-0.1337007],[0.1734444,-0.214999,0.1372302,0.4755654,0.4711721,0.4789353,-0.5678516],[-1.1484239,-0.2756326,0.0767094,0.5355813,-0.7238828,0.4272085,-0.0814812],[-1.0913827,-0.2627299,-1.1269859,0.7394692,0.0256898,0.4609103,0.4899868],[1.0556208,0.977479,1.1409053,0.0496544,-0.5403441,-0.6522162,-0.5293173]]},{"n":39,"s":"3.23286+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.2328607485449,"st":3.232860252612,"cf":null,"den":0.5441,"vlb":2.63928,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n39.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1404 vertex/face tests: ok;  min wall gap ~ 1.000000224294e-07","(2) separation, exact, 741 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[1.1935097,1.1118154,-1.0512442,0.1931478,0.4045293,0.3253879,-0.8325699],[-0.0688073,-1.0806463,-1.1550322,0.7086368,-0.0519668,-0.4969355,0.4981851],[1.1174998,-1.1955993,0.0824744,0.872719,0.3019248,0.0914544,-0.372611],[-1.0836003,-0.1569107,-1.208182,0.2558893,0.8712327,-0.1721301,-0.3818973],[1.1936196,1.1178633,-0.191964,0.0483353,-0.4803875,0.6781113,-0.5541269],[-1.072893,-1.1226314,-1.1779764,0.8785047,0.335512,-0.2782049,0.1956098],[-0.0207306,-1.199336,0.2173624,0.3283755,-0.4355606,-0.8172571,-0.185869],[1.1440897,-1.1459731,1.1422137,0.8665969,0.2881059,-0.2857852,0.2903989],[1.1402632,1.1434419,1.1466422,0.4096083,0.4068366,-0.8165013,-0.0055435],[-1.1500051,-1.1082988,1.128706,0.042612,0.8402334,-0.3726675,0.3915496],[1.1122478,-0.2000589,1.1561888,0.3221504,0.3028062,-0.8565911,-0.2660438],[0.3762013,1.0497615,-1.1169878,0.5475555,-0.6883818,0.0502429,0.4730636],[-1.1513426,-1.1391812,-0.2568781,0.5624825,0.0074542,0.5768204,0.5923141],[-1.208182,0.0574451,0.2924972,0.4550177,0.0654502,-0.7109724,0.5321591],[-1.1171389,0.0524257,1.1979383,0.4258795,-0.8195602,-0.3524763,-0.1506922],[0.3937348,0.6926007,-0.0985283,0.3674649,-0.4077134,0.8308675,0.0916431],[-0.1459356,-0.154367,1.1772507,0.836611,0.2684896,-0.434641,-0.1976932],[-0.1873278,1.1164303,1.208182,0.455768,0.7045563,-0.5406251,0.060003],[0.9330122,-1.208182,-1.0749017,0.3398511,0.4247082,-0.8204732,0.1759199],[-1.1455954,1.0807477,0.272555,0.0084423,-0.8541521,0.3480574,0.3862757],[0.3565464,-0.2026095,-1.0788744,0.0767753,0.5081518,0.7501439,0.4161386],[-1.1595837,1.0509054,1.1327926,0.8731995,-0.2460935,-0.3121771,-0.2819683],[-1.1462722,1.0315902,-1.1165269,0.7108457,-0.5395189,0.446193,0.0673019],[0.5254115,0.4785042,1.1030772,0.9289609,0.3631616,-0.0715418,0.005205],[-0.2007583,-1.1308391,1.1624779,0.8742778,0.3162342,0.281075,-0.2379731],[0.047067,-0.1989437,0.3138559,0.0464486,-0.4406043,0.395294,0.8046447],[1.1035144,0.2667099,-0.5222306,0.3123183,0.1994267,-0.926879,0.0598457],[1.1192643,-0.3081913,0.0923715,0.3715927,-0.119014,-0.0941378,-0.9159108],[-0.863277,-0.6909859,0.4653029,0.2878979,-0.373241,0.8125718,-0.3428308],[0.467319,-0.7106592,0.8365159,0.4808306,0.4854044,0.4814529,0.5489877],[0.4685936,-0.8316929,-0.3918737,0.6752832,-0.7238666,0.1330302,0.0480906],[-0.3916853,0.2630858,-0.2750137,0.3216127,0.3284664,-0.8880245,-0.0093623],[-0.3585327,0.3737831,-1.208182,0.4531357,0.5132453,-0.7247444,-0.077414],[-0.5528104,-0.612827,-0.5581351,0.6294033,-0.7592319,-0.1643192,0.0204384],[-0.3586369,1.208182,-0.5840966,0.1236992,-0.7737776,-0.4427453,-0.435825],[-0.2171836,1.1503799,0.305736,0.3815572,0.8501139,-0.3560293,-0.0704532],[1.1191266,0.4680807,0.535072,0.6490347,-0.6483059,-0.1953687,0.3468204],[-1.208182,0.5032958,-0.4499658,0.1053771,0.8817998,-0.2841904,0.3613318],[1.208182,-0.362146,-1.1164303,0.7045563,0.5406251,0.455768,-0.060003]]},{"n":40,"s":"3.24518+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.2451838396462,"st":3.245183342197,"cf":null,"den":0.5517,"vlb":2.66165,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/octincub/octincub_n40.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1440 vertex/face tests: ok;  min wall gap ~ 1.000000190987e-07","(2) separation, exact, 780 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000029e-07"],"p":[[-1.0871917,1.1067146,1.1707393,0.3900323,0.4096337,-0.1126598,-0.816935],[1.2140129,1.0458998,-1.1124768,0.0680976,0.4543719,0.5271618,-0.7148491],[1.1684709,-0.2027072,-1.1371106,0.3673895,0.3947178,0.0301792,-0.8416127],[-0.12979,-1.2130893,-1.0664508,0.6266794,-0.0004221,-0.6278264,0.4616348],[1.1397438,-1.1560771,-0.0848045,0.8435717,0.3602941,0.0160278,-0.397892],[-1.1226104,-0.1538263,-1.2126831,0.2826968,0.8795583,-0.112649,-0.3657458],[1.2143435,1.1225918,-0.1033669,0.060003,-0.455768,0.7045563,-0.5406251],[-1.0939855,-1.060006,-1.2057158,0.8455775,0.3984719,-0.2155094,0.2824439],[-0.0235184,-1.2143435,0.0447666,0.2488602,-0.4031231,-0.8524926,-0.2209448],[1.1418992,-1.1617402,1.1228453,0.871535,0.2834216,-0.2574841,0.3062693],[1.141332,1.154598,1.1479187,0.4052424,0.4110286,-0.8165171,0.011574],[-1.1647216,-1.1158736,1.1396796,0.0235666,0.8368571,-0.3756871,0.3974596],[1.1335343,-0.2374683,1.1579316,0.3074673,0.2906136,-0.862617,-0.2773075],[0.3974917,1.0226478,-1.1225925,0.5412185,-0.7039457,0.0601675,0.4559856],[-1.1463031,-1.1563964,-0.3245596,0.5897571,-0.0061848,0.5769856,0.5650096],[-1.2143435,0.0701299,0.2651498,0.4527722,0.0795125,-0.7271144,0.5098822],[-1.1287399,-0.1992417,1.1842663,0.4245021,-0.8179266,-0.3754185,-0.0992722],[0.3944172,0.669737,0.0105732,0.362259,-0.4013862,0.8406033,0.0323055],[-0.1241698,-0.2410857,1.1745109,0.8999859,0.2765887,-0.3265848,0.0828644],[0.0668235,1.1256179,1.1250126,0.3724676,0.9175987,-0.0992687,0.0970889],[-1.2143435,1.045986,0.25019,0.1382354,-0.8772492,0.2704978,0.3716932],[0.1709562,-0.2849319,-1.1880364,0.1461555,-0.4235224,-0.7924051,-0.4139584],[-0.6241913,0.3931249,0.8759082,0.7800019,-0.6164263,0.0686087,-0.0831174],[-1.108229,1.1392559,-1.1235013,0.6853775,-0.5067867,0.522792,-0.0106545],[0.5151888,0.43328,1.1309941,0.9205713,0.3724016,-0.1170684,-0.0126675],[-0.2501272,-1.2137395,1.0460445,0.8776806,0.2735394,0.1322712,-0.3706174],[0.1397983,-0.173441,0.2384097,0.0549354,-0.2512571,0.5000164,0.8269435],[0.8540064,0.278202,-0.54655,0.0366286,-0.0280627,-0.9983905,-0.0329731],[1.1501827,-0.2701032,0.0403698,0.4360816,-0.3821457,0.0535896,-0.8129734],[-0.8941407,-0.7053993,0.4125262,0.3401084,-0.3555861,0.8108877,-0.3167742],[0.4924618,-0.8223457,0.6798966,0.3912898,0.4468718,0.4211687,0.6854303],[0.5258663,-0.8620244,-0.5581158,0.6931664,-0.7189842,-0.0314101,0.0399431],[-0.3978468,0.3024231,-0.2711732,0.3016699,0.3468719,-0.8859246,-0.0617471],[-0.3856803,0.3929035,-1.2143435,0.4502905,0.4886985,-0.741518,-0.0925383],[-0.5889529,-0.4993072,-0.5289839,0.5877181,-0.7885436,-0.1806004,-0.0130375],[-0.3169883,1.2143435,-0.5775264,0.0810933,-0.7288907,-0.4524917,-0.5073396],[-0.3090422,1.1934765,0.2943525,0.3171338,0.8665423,-0.377881,0.0757395],[1.1263517,0.4559666,0.5731165,0.636594,-0.6675648,-0.2145045,0.3210811],[-1.2143435,0.529102,-0.4706195,0.0780138,0.8846406,-0.2952459,0.3523559],[1.0979284,-1.1440994,-1.1155045,0.8597521,-0.2911651,0.2667717,0.323855]]}],"hasref":true,"family":"platonic","group":"platonic","title":"Octahedra in a cube","unit":"edge"},{"id":"dodinico","piece":"dodecahedron","container":"icosahedron","rows":[{"n":2,"s":"2.89442+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.89442737589,"st":2.894427191,"cf":"(10 + 2\u221a5)/5","den":0.2897,"vlb":1.9152,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n02.json","ok":true,"ver":true,"cert":["(1) containment, exact, 800 vertex/face tests: ok;  min wall gap ~ 1.000000457145e-07","(2) separation, exact, 1 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999783794e-08"],"p":[[0.0,0.5854102,0.9472136,0.1148765,-0.4866245,-0.8583725,0.1148765],[0.0,-0.5854102,-0.9472136,0.0,0.0,-0.2297529,0.973249]]},{"n":3,"s":"3.14562+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.1456238494407,"st":3.145623653066,"cf":null,"den":0.3385,"vlb":2.19236,"move":"descend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n03.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1200 vertex/face tests: ok;  min wall gap ~ 1.000000277989e-07","(2) separation, exact, 3 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000012796e-07"],"p":[[-1.1520935,0.0099858,0.6695358,0.1138625,0.684096,0.6871093,0.2166303],[0.0312951,-0.6827057,-1.1439541,0.0207268,-0.3213648,-0.3183515,0.8915982],[1.1207984,0.0293272,0.7201724,0.2242741,-0.4803156,0.4320094,-0.7296341]]},{"n":4,"s":"3.37546+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.3754637404253,"st":3.375463527009,"cf":null,"den":0.3653,"vlb":2.413,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n04.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1600 vertex/face tests: ok;  min wall gap ~ 1.000000376701e-07","(2) separation, exact, 6 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-1.2298087,-0.3726539,0.7684144,0.2547765,0.5850798,0.7097346,0.298408],[0.1084004,-1.0657223,-1.0460623,0.0480988,0.4752472,0.3505923,-0.8055505],[1.1214083,-0.3056587,0.94381,0.3801862,-0.4028658,0.354586,-0.7532771],[0.0,1.0740985,-0.4102691,0.0946314,0.5990391,-0.3340805,0.7215174]]},{"n":5,"s":"3.57490+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.574901405248,"st":3.574901176543,"cf":null,"den":0.3844,"vlb":2.59932,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n05.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2000 vertex/face tests: ok;  min wall gap ~ 1.000000281194e-07","(2) separation, exact, 10 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-1.4793041,0.149594,0.8595037,0.2172014,0.7701856,0.4911971,0.3440394],[-0.6487798,-1.1324132,-0.7959322,0.0884155,0.264202,0.243848,-0.9289339],[0.7497159,-0.7968754,1.1198614,0.1662752,-0.5533724,0.3326693,-0.7452937],[0.065548,1.4947175,-0.0783086,0.1441275,0.483197,-0.502679,0.7021835],[1.4119562,-0.076642,-0.9874218,0.112308,-0.0425505,0.8881483,-0.4435866]]},{"n":6,"s":"3.63755+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.63755982459,"st":3.637559601591,"cf":"(2 + 17\u221a5)/11","den":0.4379,"vlb":2.76219,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n06.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2400 vertex/face tests: ok;  min wall gap ~ 1.000000466440e-07","(2) separation, exact, 15 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003359e-07"],"p":[[-0.4467967,-1.0358984,1.1608984,0.1350454,-0.0,0.9256148,0.3535534],[-0.1195424,1.2381526,1.0358984,0.1767767,0.9673461,0.0417313,-0.1767767],[-1.5565764,0.2022543,-0.395678,0.327762,-0.8163608,0.109254,0.4628074],[0.4467967,1.0358984,-1.1608984,0.6813154,0.2442994,-0.6813154,0.109254],[1.5565764,-0.2022543,0.395678,0.6395841,0.6395841,0.0675227,-0.4210761],[0.1195424,-1.2381526,-1.0358984,0.0675227,-0.8580921,0.5045387,0.0675227]]},{"n":7,"s":"3.85641+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.8564159123463,"st":3.85641566222,"cf":null,"den":0.4287,"vlb":2.90784,"move":"reinsert","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n07.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2800 vertex/face tests: ok;  min wall gap ~ 1.000000671556e-07","(2) separation, exact, 21 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000009466e-07"],"p":[[1.2475273,0.8064283,1.0654912,0.0366646,-0.4880499,0.2277503,-0.8417796],[0.000117,1.6095813,-0.8334326,0.0238682,-0.3109099,0.5748761,-0.7564938],[0.0012384,-0.9912649,1.6915178,0.2925938,0.5111344,0.71052,0.3850868],[-1.6519226,0.0616512,-1.0903762,0.1912952,0.5461402,0.7340261,-0.3554472],[-1.2602631,0.7941384,1.0650453,0.6026556,-0.270098,-0.1697999,0.7314515],[0.0062669,-1.7284421,-0.5222508,0.9466824,-0.0895905,0.2774003,0.1371679],[1.6521422,0.0749251,-1.1019912,0.7669579,-0.6002026,-0.1868985,0.1288462]]},{"n":8,"s":"3.96658+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":3.9665801474182,"st":3.966579910524,"cf":null,"den":0.4502,"vlb":3.04019,"move":"reinsert","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n08.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3200 vertex/face tests: ok;  min wall gap ~ 1.000000185046e-07","(2) separation, exact, 28 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000007523e-07"],"p":[[1.8117405,0.0686022,0.5825228,0.762102,-0.423756,0.4756437,0.1157342],[0.0708319,-1.2323132,1.6093506,0.3177249,-0.666939,-0.267687,0.6185361],[0.6335096,0.6144299,-1.5941763,0.3524711,-0.1250286,0.4396798,-0.8165866],[-1.4073389,-0.3389583,-1.2405079,0.4940791,0.2071345,0.3892231,0.749324],[0.7595875,-1.4987008,-0.7004472,0.4560347,-0.7825054,-0.4085808,0.1130455],[-1.8117094,-0.022843,1.0807758,0.6602093,-0.3019871,0.6830752,-0.0795971],[-0.9637925,1.7759487,-0.1730467,0.0457973,-0.1538718,-0.9827258,-0.0920654],[0.047977,1.1186114,1.7816891,0.4683208,0.1140379,-0.49919,0.7200558]]},{"n":9,"s":"4.02206+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.0220636743941,"st":4.022063433118,"cf":null,"den":0.4859,"vlb":3.16192,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n09.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3600 vertex/face tests: ok;  min wall gap ~ 1.000000417725e-07","(2) separation, exact, 36 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005580e-07"],"p":[[-0.0169332,1.1846363,1.7933419,0.3637968,0.1294304,0.8813082,-0.2723885],[1.1359567,1.7617326,-0.1468548,0.5366563,-0.225635,-0.7142961,-0.3884199],[1.0008143,-1.8452552,-0.095235,0.0822084,0.4064527,-0.8767348,-0.2436679],[-1.0329474,1.2653611,-1.0379741,0.0621178,-0.069547,-0.9405671,-0.3265549],[-1.2234874,-1.1476009,-0.9651943,0.2033277,-0.9457034,-0.1163919,-0.2252906],[-0.0564873,-1.1601905,1.8084502,0.5486016,0.4432057,0.6167953,0.3495262],[-1.8497289,0.0835226,0.9935756,0.0825841,0.8424921,-0.5314708,0.0304265],[0.8239099,-0.1177602,-1.7472305,0.0158832,0.7536675,-0.315857,-0.5761662],[1.8602945,-0.0244458,1.0763047,0.645656,-0.3461513,-0.6645873,0.1470759]]},{"n":10,"s":"4.06524+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.065247821713,"st":4.06524758425,"cf":"(25 + 7\u221a5)/10","den":0.5228,"vlb":3.27494,"move":"tighten","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n10.json","ok":true,"ver":true,"cert":["(1) containment, exact, 4000 vertex/face tests: ok;  min wall gap ~ 1.000000089539e-07","(2) separation, exact, 45 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999983634e-08"],"p":[[-1.8944273,0.0,1.1708204,0.185874,0.4156269,0.787375,0.4156269],[1.1708204,-1.8944273,-0.0,0.371748,0.601501,0.371748,-0.601501],[-1.1708204,1.8944273,-0.0,0.1148765,0.7163774,-0.4866245,0.4866245],[-1.8944273,-0.0,-1.1708204,0.4866245,0.8583725,0.1148765,0.1148765],[1.8944273,0.0,-1.1708204,0.601501,-0.601501,0.371748,0.371748],[-0.0,-1.1708204,1.8944273,0.0709976,0.3007505,0.6724985,0.6724985],[0.0,0.0,-0.0,0.7905694,0.3535534,-0.3535534,0.3535534],[1.1708204,1.8944273,-0.0,0.601501,-0.371748,-0.601501,-0.371748],[-0.0,1.1708204,1.8944273,0.3007505,0.0709976,0.9022514,-0.3007505],[-0.0,1.1708204,-1.8944273,0.601501,0.371748,-0.371748,0.601501]]},{"n":11,"s":"4.06524+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.065247821713,"st":4.06524758425,"cf":"(25 + 7\u221a5)/10","den":0.5751,"vlb":3.38066,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n11.json","ok":true,"ver":true,"cert":["(1) containment, exact, 4400 vertex/face tests: ok;  min wall gap ~ 1.000000102359e-07","(2) separation, exact, 55 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999983634e-08"],"p":[[1.8944273,-0.0,1.1708204,0.3007505,-0.6724985,0.0709976,-0.6724985],[-1.1708204,1.8944273,-0.0,0.1148765,0.7163774,-0.4866245,0.4866245],[-1.8944273,-0.0,-1.1708204,0.4866245,0.8583725,0.1148765,0.1148765],[1.8944273,-0.0,-1.1708204,0.601501,-0.601501,0.371748,0.371748],[0.0,-1.1708204,1.8944273,0.0709976,0.3007505,0.6724985,0.6724985],[0.0,-0.0,-0.0,0.7905694,0.3535534,-0.3535534,0.3535534],[-1.1708204,-1.8944273,-0.0,0.9022514,-0.3007505,-0.0709976,-0.3007505],[-0.0,1.1708204,-1.8944273,0.601501,0.371748,-0.371748,0.601501],[1.1708204,1.8944273,-0.0,0.1148765,0.8583725,-0.1148765,-0.4866245],[1.1708204,-1.8944273,-0.0,0.6724985,-0.3007505,0.0709976,-0.6724985],[-0.0,-1.1708204,-1.8944273,0.3007505,0.0709976,-0.6724985,-0.6724985]]},{"n":12,"s":"4.06524+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.065247821713,"st":4.06524758425,"cf":"(25 + 7\u221a5)/10","den":0.6274,"vlb":3.48015,"move":"monotone","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n12.json","ok":true,"ver":true,"cert":["(1) containment, exact, 4800 vertex/face tests: ok;  min wall gap ~ 1.000000086975e-07","(2) separation, exact, 66 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-1.8944273,-0.0,1.1708204,0.185874,0.4156269,0.787375,0.4156269],[1.8944273,-0.0,1.1708204,0.3007505,-0.6724985,0.0709976,-0.6724985],[-1.1708204,1.8944273,-0.0,0.1148765,0.7163774,-0.4866245,0.4866245],[-1.8944273,-0.0,-1.1708204,0.4866245,0.8583725,0.1148765,0.1148765],[1.8944273,-0.0,-1.1708204,0.601501,-0.601501,0.371748,0.371748],[0.0,-1.1708204,1.8944273,0.0709976,0.3007505,0.6724985,0.6724985],[0.0,-0.0,-0.0,0.7905694,0.3535534,-0.3535534,0.3535534],[-1.1708204,-1.8944273,-0.0,0.9022514,-0.3007505,-0.0709976,-0.3007505],[-0.0,1.1708204,-1.8944273,0.601501,0.371748,-0.371748,0.601501],[1.1708204,1.8944273,-0.0,0.1148765,0.8583725,-0.1148765,-0.4866245],[1.1708204,-1.8944273,-0.0,0.6724985,-0.3007505,0.0709976,-0.6724985],[-0.0,-1.1708204,-1.8944273,0.3007505,0.0709976,-0.6724985,-0.6724985]]},{"n":13,"s":"4.06524+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.0652478217131,"st":4.06524758425,"cf":"(25 + 7\u221a5)/10","den":0.6797,"vlb":3.57425,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n13.json","ok":true,"ver":true,"cert":["(1) containment, exact, 5200 vertex/face tests: ok;  min wall gap ~ 1.000000426699e-07","(2) separation, exact, 78 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000584e-07"],"p":[[-1.8944273,0.0,1.1708204,0.185874,0.4156269,0.787375,0.4156269],[1.8944273,-0.0,1.1708204,0.3007505,-0.6724985,0.0709976,-0.6724985],[-1.1708204,1.8944273,-0.0,0.1148765,0.7163774,-0.4866245,0.4866245],[-1.8944273,-0.0,-1.1708204,0.4866245,0.8583725,0.1148765,0.1148765],[1.8944273,-0.0,-1.1708204,0.601501,-0.601501,0.371748,0.371748],[0.0,-1.1708204,1.8944273,0.0709976,0.3007505,0.6724985,0.6724985],[0.0,0.0,-0.0,0.7905694,0.3535534,-0.3535534,0.3535534],[-1.1708204,-1.8944273,-0.0,0.9022514,-0.3007505,-0.0709976,-0.3007505],[-0.0,1.1708204,1.8944273,0.3007505,0.0709976,0.9022514,-0.3007505],[0.0,1.1708204,-1.8944273,0.601501,0.371748,-0.371748,0.601501],[1.1708204,1.8944273,-0.0,0.1148765,0.8583725,-0.1148765,-0.4866245],[1.1708204,-1.8944273,-0.0,0.6724985,-0.3007505,0.0709976,-0.6724985],[0.0,-1.1708204,-1.8944273,0.3007505,0.0709976,-0.6724985,-0.6724985]]},{"n":14,"s":"4.59694+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.5969484612668,"st":4.596948186387,"cf":null,"den":0.5062,"vlb":3.66364,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n14.json","ok":true,"ver":true,"cert":["(1) containment, exact, 5600 vertex/face tests: ok;  min wall gap ~ 1.000000353626e-07","(2) separation, exact, 91 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000001972e-07"],"p":[[-1.7113174,0.6535377,1.4364151,0.2347529,0.5204223,0.7582724,0.3147611],[1.7780452,-1.5353842,0.0916597,0.4320842,0.5954733,0.5072013,-0.4488448],[1.9884005,0.0817056,1.6143805,0.307479,-0.4178698,0.1058735,-0.8483114],[-0.9813786,2.3210101,0.0278696,0.1107623,0.7197373,-0.4701298,0.4986861],[-2.1824121,0.4219372,-1.1699153,0.4803984,0.72447,0.4923023,0.0447116],[2.1380866,0.3289757,-1.2834467,0.6152907,-0.5475945,0.3681147,0.4313343],[0.0378086,-1.5703755,2.1354006,0.1178749,-0.4528376,-0.4434849,-0.7644375],[0.0483438,0.0638936,-0.0864205,0.814091,0.4482741,-0.3691329,0.0068525],[-1.8721015,-1.3677298,0.4995381,0.7886691,-0.5404218,0.2352006,-0.1750027],[1.5528,2.0236782,0.0501751,0.5859691,-0.415015,-0.5331994,-0.4473268],[0.2774014,1.5170282,1.9567248,0.3172419,0.1444767,0.8494985,-0.3960257],[0.2617213,1.6313338,-1.7434923,0.567757,0.430464,-0.4884674,0.5037383],[-0.2964395,-0.468814,-2.3726768,0.6031689,-0.0737499,0.3303977,0.7222089],[-0.2263476,-2.217033,-0.8115763,0.7966297,0.3939147,-0.4564497,0.0431967]]},{"n":15,"s":"4.67481+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.674811474882,"st":4.674811195738,"cf":null,"den":0.5157,"vlb":3.74887,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n15.json","ok":true,"ver":true,"cert":["(1) containment, exact, 6000 vertex/face tests: ok;  min wall gap ~ 1.000000254914e-07","(2) separation, exact, 105 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000013907e-07"],"p":[[0.0159407,-0.0754464,-0.0502403,0.8246628,0.0283556,-0.4776317,0.3016541],[-1.3438703,-0.2391218,-1.9607547,0.2769946,0.0449574,0.7944386,-0.5386281],[-1.3735767,-2.325991,0.0233682,0.5707508,-0.0348276,-0.3137573,0.7580152],[0.1948455,-1.7446595,1.7645484,0.4724676,0.8146813,-0.0384935,-0.3340464],[2.4275618,0.2653682,-0.6069087,0.2955754,-0.5345852,0.1402298,-0.7792236],[-1.3252187,1.8483758,0.736587,0.2941913,0.5615296,0.508679,-0.5825647],[1.3440668,2.2368418,0.196864,0.8014113,-0.4169746,0.4283912,0.0187904],[0.2430893,-1.8049901,-1.6609075,0.5355931,0.4551543,-0.5263615,0.478454],[1.9770191,-0.2026841,1.5812223,0.0765593,-0.8572488,-0.2505404,-0.443275],[-1.4115743,-0.184651,1.9286784,0.8264789,0.0403836,0.4889444,0.2761073],[-2.4938235,-0.2518459,-0.0360669,0.3868989,0.4934483,-0.0431121,0.7777913],[1.6864385,-1.9448208,0.0672513,0.486094,-0.8067356,0.0279706,-0.3348251],[0.8812004,0.4079145,-2.2534315,0.4079029,0.799036,-0.0323208,-0.4405814],[0.3254802,1.3270579,2.1804369,0.6043898,-0.4611516,-0.3235312,-0.5633646],[-0.4664068,2.0143908,-1.3207305,0.41808,-0.179874,0.8896595,0.0368843]]},{"n":16,"s":"4.79245+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.7924542582544,"st":4.792453975656,"cf":null,"den":0.5106,"vlb":3.8304,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n16.json","ok":true,"ver":true,"cert":["(1) containment, exact, 6400 vertex/face tests: ok;  min wall gap ~ 1.000000511309e-07","(2) separation, exact, 120 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[-1.0040055,-0.8601826,2.1084328,0.00312,-0.1910347,-0.6188371,0.7619296],[1.8908968,-0.4897016,-1.6612014,0.5151343,0.2450211,-0.5761233,0.5853916],[1.0448858,-2.304189,-0.4990158,0.2211986,-0.5615462,0.7971501,0.0169947],[-0.0096224,-0.0041993,0.0852466,0.8990497,-0.138829,0.4152219,0.0051877],[-1.4246388,-2.4965511,-0.0609088,0.1961935,-0.7640213,0.6132058,0.0419317],[0.0106055,1.4481686,-2.4635657,0.6109031,-0.0029305,-0.655779,-0.4435569],[-1.4098134,1.2740253,1.5855825,0.6186898,0.6624741,-0.3498995,0.236477],[0.6820451,0.9731381,2.3019079,0.2106404,0.1797439,0.0648408,-0.9587066],[-2.5173872,-0.4393268,0.3670293,0.7708969,0.5672126,0.2804734,-0.0729548],[-1.8027116,-0.2258802,-1.8255333,0.9973585,0.0093522,0.0653514,0.0302938],[1.8268096,1.6156881,-0.8843064,0.0114768,0.0374768,0.9130463,0.4059682],[2.4243797,-0.0131123,0.6153996,0.2252466,0.6688918,-0.2609703,-0.658591],[-0.0252605,-1.5400492,-2.458713,0.5800662,-0.1903407,0.7753113,0.1618211],[-1.7571277,1.642652,-0.6146313,0.4154551,-0.6482498,0.0015491,0.6380963],[0.1394318,2.4952703,0.3250776,0.5741888,0.6404876,0.1788464,-0.4775949],[1.0810333,-1.4902122,1.6239088,0.7011767,-0.2708579,0.6003094,-0.2731588]]},{"n":17,"s":"4.88916+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.8891630504305,"st":4.889162754099,"cf":null,"den":0.5109,"vlb":3.90859,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n17.json","ok":true,"ver":true,"cert":["(1) containment, exact, 6800 vertex/face tests: ok;  min wall gap ~ 1.000000608739e-07","(2) separation, exact, 136 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005025e-07"],"p":[[-2.1662182,1.2373981,0.6023362,0.490129,0.7660381,-0.4155196,0.0173959],[2.4438577,-0.3589826,0.301749,0.4035625,-0.4304624,-0.1480306,-0.793679],[-2.2721299,0.4609138,-1.7022844,0.2569864,-0.8037397,-0.0884082,-0.5292867],[-1.3070966,-0.3124729,2.2282402,0.6878496,0.2702516,0.1905852,0.6461457],[-0.7183972,-2.3521459,-0.9172825,0.2929288,-0.4566156,-0.83985,-0.018626],[-0.4442045,1.8142194,1.9309223,0.9480994,0.0173664,0.1485776,0.2805898],[-0.1781643,1.5628019,-2.4446939,0.0225001,-0.2679488,-0.0731085,-0.9603917],[1.8029978,-0.825657,-1.781486,0.3557963,0.0630553,0.0512515,-0.9310243],[1.5403983,-2.4868988,0.0009822,0.2974055,-0.1451697,-0.2852151,0.8995155],[1.1447416,-0.6714529,2.2090304,0.0041112,-0.129803,-0.5311045,-0.8372946],[0.0418665,-2e-06,-0.0772143,0.2996876,-0.2943856,0.1157802,0.9000664],[-2.3563806,-1.0656802,0.2216213,0.3787028,-0.4933236,0.3577383,-0.6965912],[1.8258342,1.4572529,-1.1882433,0.202674,-0.4970455,-0.8421501,-0.0515005],[-0.0743578,2.5672313,-0.1444166,0.9725887,0.1316908,0.1915182,-0.0070424],[-0.3532138,-2.0977554,1.2665225,0.5511006,0.8265236,-0.0196873,-0.112957],[1.6646609,1.5256781,1.1966859,0.5723503,-0.1772431,0.6448239,0.4745547],[-0.3831492,-0.8076233,-2.6170842,0.2994555,-0.0342129,-0.424338,-0.8538695]]},{"n":18,"s":"4.97123+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":4.9712391201511,"st":4.97123882616,"cf":null,"den":0.5146,"vlb":3.98377,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n18.json","ok":true,"ver":true,"cert":["(1) containment, exact, 7200 vertex/face tests: ok;  min wall gap ~ 1.000000524129e-07","(2) separation, exact, 153 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-2.0551025,1.3171506,0.9359529,0.3891107,0.5834264,-0.6551122,0.2811308],[2.5047093,-0.8295381,0.0768222,0.378483,-0.498688,-0.0534082,-0.7779515],[2.138438,1.2393792,1.2009522,0.0219311,-0.9318033,-0.0425495,-0.3597933],[-1.3273754,2.1304746,-1.1209194,0.1705223,-0.7702702,0.5260637,-0.3175893],[-2.5659059,0.0500472,-1.3017564,0.2459317,-0.9125589,-0.0246711,-0.3257994],[2.1589334,0.9973861,-1.1492834,0.4787434,-0.7088817,0.2119285,0.4726285],[-1.0237865,-0.0326352,2.4387835,0.6937114,0.2466658,0.206024,0.6445732],[-0.489681,-2.130256,1.4748711,0.2775376,0.8152988,-0.4992032,0.0951676],[-1.292622,-2.2313408,-0.7172409,0.3887173,-0.5991011,-0.6965144,-0.0696018],[0.9086555,2.6137067,-0.2342166,0.0318541,-0.3413237,0.8012197,0.4904391],[-0.0121081,2.081244,1.959837,0.9570548,-0.0905721,0.2468645,0.1220687],[0.3487065,1.3307294,-2.4560382,0.0215099,0.2667126,-0.034105,0.9629323],[1.4334683,-1.0683658,-1.9880198,0.2774193,0.0742928,0.0821668,-0.9543415],[-0.7498831,-0.8782402,-2.5434053,0.2272844,0.2258659,0.6704096,-0.6692364],[1.3930663,-0.6866443,2.1193683,0.0886065,0.331598,0.3820632,0.8580323],[-0.0084512,0.1336443,0.1276679,0.3105324,-0.3615382,0.0686853,0.8764371],[-2.3370505,-0.8904434,0.7485249,0.2994317,-0.5815983,0.3976748,-0.6433807],[1.091221,-2.6581347,-0.1197414,0.8649027,0.4159845,0.2717357,0.0711333]]},{"n":19,"s":"5.07936+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.0793670401575,"st":5.07936674528,"cf":null,"den":0.5093,"vlb":4.05622,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n19.json","ok":true,"ver":true,"cert":["(1) containment, exact, 7600 vertex/face tests: ok;  min wall gap ~ 1.000000298501e-07","(2) separation, exact, 171 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000004470e-07"],"p":[[-1.2693051,-2.0829576,1.3476204,0.0522148,0.5048529,-0.224833,-0.8317736],[0.5818503,2.7184152,0.1735547,0.6255398,0.7402608,0.1787454,0.1695996],[2.6979946,-0.0429404,1.6878885,0.5847189,0.0080988,-0.4485165,0.6759225],[0.0029348,-1.7499678,-2.5921863,0.5351247,0.5432324,-0.5447853,-0.3489256],[0.9974828,-1.8141662,1.6707307,0.0075707,-0.2324819,0.9687402,-0.0862397],[-0.3957635,-0.1738672,2.7661442,0.8495586,-0.4158233,-0.0188487,-0.3240154],[2.3330254,1.1947488,-0.3053122,0.1993505,0.8954162,0.3950292,0.049408],[-2.7111568,0.2378086,-0.6339537,0.4087842,-0.0700111,-0.0156969,0.9098063],[0.2692334,-2.7405449,-0.3650814,0.76962,-0.3877382,-0.0798858,-0.5009615],[-1.0383098,0.3840973,-2.3802526,0.0986795,0.0924459,-0.0595596,-0.9890241],[-1.3881174,2.0235666,1.3086267,0.916547,-0.3979123,-0.0188182,0.0354014],[-1.3575239,2.2330105,-1.0692545,0.1269759,0.039593,0.4789938,-0.8676834],[-2.6219375,-0.1200546,1.6950576,0.0952864,0.2853787,0.952453,0.0480918],[-1.8843659,-1.9050566,-0.9308881,0.2818003,-0.2135532,0.6356405,-0.6862542],[1.7720667,-0.3180183,-2.1223443,0.0213911,-0.8367981,0.1972229,-0.5103082],[2.316856,-1.5720155,-0.1943146,0.4657176,-0.4055704,0.7863191,0.017945],[-0.3346257,-0.2059477,-0.0731489,0.8864727,0.1717977,0.4296946,0.0037687],[0.887039,1.5214018,2.086737,0.647702,-0.4118068,0.044822,0.6394438],[0.7856365,1.9133505,-1.9100469,0.2128587,-0.8135462,0.0310755,0.5402481]]},{"n":20,"s":"5.15760+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.1576037323921,"st":5.157603430264,"cf":null,"den":0.512,"vlb":4.12617,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n20.json","ok":true,"ver":true,"cert":["(1) containment, exact, 8000 vertex/face tests: ok;  min wall gap ~ 1.000000326704e-07","(2) separation, exact, 190 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000007800e-07"],"p":[[0.2198481,-2e-06,1.5e-06,0.1379748,0.1679581,-0.6663141,0.7132872],[-0.7887164,2.3338305,1.2972002,0.4047007,0.569178,-0.0427452,-0.7144415],[1.092885,2.6670408,-0.7048286,0.2063225,-0.6244686,0.6962165,0.2876673],[-0.1779899,0.6859027,2.8221119,0.4594444,0.0085627,0.3877142,0.7990715],[-1.3974317,2.326718,-0.9194333,0.7280191,0.4013307,0.4282653,0.3542749],[-1.990476,0.3812519,-2.1459212,0.4279703,-0.8796241,0.1500951,0.1434379],[1.4455793,-2.4727617,0.7568751,0.5897559,-0.6989204,0.3275936,-0.2374463],[1.8844796,-1.5948415,-1.2616829,0.077207,0.0865575,0.928591,-0.3525134],[-7.17e-05,1.7430531,-2.7217582,0.0617559,0.4687014,-0.7033511,0.5308506],[-1.9338146,-0.8628731,1.7704389,0.8217106,-0.0847774,0.2909001,0.4826816],[2.7739691,0.0950479,0.1305983,0.7162848,-0.2055461,0.1476777,-0.6502909],[1.7920992,-0.3940684,2.145538,0.0288924,0.2860424,-0.491034,-0.8223324],[2.0791833,0.73793,-1.9764806,0.7158307,0.5763795,0.1369265,-0.3696272],[-0.592991,-2.2977793,-1.5247066,0.1948854,-0.2714177,-0.8232637,0.4588998],[-2.428524,-1.1606328,-0.5367105,0.1433867,0.6707865,-0.3210283,0.6530135],[-1.0101828,-2.6865396,0.7373067,0.2811893,-0.1288695,-0.4948534,0.8120624],[1.4793789,1.8708574,1.4071209,0.4520655,-0.1362063,0.0512687,0.8800319],[-2.5807783,1.0467658,0.7477191,0.0363793,-0.5832116,0.7333619,0.3474494],[0.2701127,-0.6069186,-2.7488612,0.2889931,0.2610858,-0.566943,-0.7258738],[0.0405635,-1.7305084,2.7132015,0.7456611,-0.1244444,-0.6289474,-0.1814614]]},{"n":21,"s":"5.26142+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.2614283272483,"st":5.261428013945,"cf":null,"den":0.5064,"vlb":4.19382,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n21.json","ok":true,"ver":true,"cert":["(1) containment, exact, 8400 vertex/face tests: ok;  min wall gap ~ 1.000000198507e-07","(2) separation, exact, 210 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000009466e-07"],"p":[[0.147865,-0.613086,0.9271698,0.0591704,-0.0204055,0.7229932,-0.6880141],[-0.3362132,2.4445669,1.3276162,0.4054336,0.5002309,-0.0211151,-0.7648181],[1.0577106,2.741551,-0.8457614,0.1633745,-0.6144437,0.7165755,0.2868577],[-0.1553179,0.8080304,2.8646702,0.4777677,0.0991765,0.432033,0.758452],[-1.5920343,2.5592369,-0.8034937,0.7705603,0.3202709,0.4964301,0.2392083],[-2.2153666,0.2471198,-2.1879198,0.4487358,-0.8686594,0.1636562,0.1314678],[1.5488584,-2.5904663,0.7530375,0.5587753,-0.7068717,0.3322431,-0.2787779],[1.6548138,-1.8248984,-1.4509583,0.0531577,0.0397898,0.9307216,-0.3596503],[-0.0268117,1.7439064,-2.8548679,0.0828633,0.5047638,-0.715202,0.4762701],[-2.1329379,-0.8459689,1.9491152,0.7388543,-0.1103443,0.2902523,0.5980569],[2.8307136,-0.2337417,-0.2442471,0.6111785,-0.2332226,0.1532115,-0.7406716],[2.065831,-0.5088295,2.0675863,0.1458173,0.1675899,-0.462896,-0.8581248],[2.0309538,0.7907927,-2.0533158,0.7073369,0.5960535,0.0939163,-0.3682044],[-0.8687806,-2.315398,-1.3912157,0.2862073,-0.3114127,-0.7976518,0.4299525],[-2.5105767,-1.1532043,-0.3408697,0.1455801,0.6639102,-0.3538216,0.6425262],[-1.0434436,-2.733878,0.8658496,0.3471281,-0.0823522,-0.4723953,0.8059547],[1.9063212,1.7583417,1.1602465,0.4308702,-0.1184164,0.0759826,0.8913782],[-2.4393568,1.2338372,0.9767887,0.0652543,0.6392691,-0.663156,-0.3837981],[0.0473959,-0.6039666,-2.8401377,0.3182349,0.1585442,-0.6416467,-0.6796174],[0.0268117,-1.7438078,2.8549665,0.7915697,-0.1491923,-0.5648885,-0.1790531],[-0.1542928,0.606169,-0.9317717,0.586281,0.2115998,-0.5676271,-0.5378657]]},{"n":22,"s":"5.32240+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.3224098041124,"st":5.322409485426,"cf":null,"den":0.5125,"vlb":4.25936,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n22.json","ok":true,"ver":true,"cert":["(1) containment, exact, 8800 vertex/face tests: ok;  min wall gap ~ 1.000000611303e-07","(2) separation, exact, 231 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002249e-07"],"p":[[0.188823,-0.5626407,0.9257655,0.0609293,-0.0593813,0.7132533,-0.6957235],[-1.1122157,2.4938724,1.1229317,0.4417421,0.5823844,-0.0016346,-0.6824145],[-0.4966633,0.9198526,2.7776137,0.4096855,0.0947375,0.4794375,0.7702742],[-1.9000186,2.0617599,-1.0766793,0.7596194,0.3197666,0.4453197,0.3498829],[-2.3104914,-0.0258982,-2.231409,0.4703869,-0.8622643,0.1310635,0.1343827],[1.5213788,-2.6151709,0.8467379,0.5742231,-0.708343,0.2925336,-0.2879967],[1.5699237,-1.8788858,-1.4081896,0.1086369,0.145367,0.9125194,-0.3665718],[-0.0193243,1.7209939,-2.9003267,0.0789378,0.5417672,-0.6842617,0.4817085],[-2.0147077,-0.8860642,2.0031768,0.7798067,-0.0708549,0.2949547,0.5476156],[2.8789469,-0.5925586,0.1357677,0.5232318,-0.2390383,0.1638773,-0.8013947],[2.126092,0.0687238,2.3018433,0.284047,-0.0437482,-0.4294323,-0.8561491],[-0.7394029,-2.3753008,-1.4313734,0.2784865,-0.2553076,-0.7314269,0.5676953],[-2.5479536,-1.4817669,-0.3147123,0.1832542,0.703027,-0.2685077,0.6325145],[-0.9504687,-2.7452876,0.9651398,0.3053164,-0.1152942,-0.4916556,0.807319],[1.0237764,2.1659357,1.7109757,0.3958933,-0.138662,0.004934,0.9077538],[-2.6615652,0.9239691,0.7736844,0.0071613,-0.6223201,0.6827233,0.3828255],[-0.0261319,-0.823757,-2.9164673,0.3851508,0.2004801,-0.6515053,-0.6220992],[0.0723866,-1.6909152,2.8709818,0.8020717,-0.1281266,-0.5696342,-0.125624],[-0.0743473,0.4707708,-1.0401445,0.6236695,0.2459182,-0.559333,-0.4875522],[2.3321884,1.6251882,-0.1884134,0.5828334,0.42467,-0.6142586,-0.3203857],[2.2424346,0.1794457,-2.1581436,0.3490282,0.4541505,-0.4652858,-0.6748598],[0.4594498,2.8524757,-0.6845175,0.8634533,-0.1104491,-0.1726374,-0.4609184]]},{"n":23,"s":"5.40195+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.4019534899536,"st":5.401953174283,"cf":null,"den":0.5125,"vlb":4.32295,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n23.json","ok":true,"ver":true,"cert":["(1) containment, exact, 9200 vertex/face tests: ok;  min wall gap ~ 1.000000357472e-07","(2) separation, exact, 253 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000009466e-07"],"p":[[-0.425644,2.9116117,-0.6981739,0.1814486,-0.7198668,-0.2695329,0.6133679],[1.0485246,0.9989466,-1.0369847,0.5457759,-0.5369596,-0.3278042,-0.5534867],[-0.3128862,-0.5320907,0.4315661,0.2224323,-0.4562735,0.6443534,0.5719677],[-2.703076,0.6951135,1.5107278,0.2635076,-0.9080025,-0.191141,-0.2637431],[0.5825514,-2.9510766,0.1623438,0.6884848,-0.6802064,-0.025477,-0.2503176],[-0.8309562,-2.196154,-2.0785,0.2893428,-0.3068349,0.6994239,-0.5770089],[0.3856372,-2.1046687,2.2860571,0.0090949,0.1364713,-0.9654885,-0.2216413],[1.5203412,-1.99464,-1.6276005,0.3062698,-0.5780711,-0.7561803,0.0149687],[-0.3329776,0.0873194,2.956456,0.0470961,-0.41785,0.0729416,0.9043577],[1.1554722,1.7439871,2.0361804,0.1583643,-0.5596992,-0.3753557,-0.7216409],[-0.1099945,1.8280063,-2.9221073,0.9515329,-0.1280323,-0.2776142,0.0335132],[1.8999129,-0.3758524,2.3411451,0.1728138,-0.3246483,0.5716683,-0.73344],[2.9313984,-0.0402704,-1.8512213,0.2341237,-0.6560739,0.5781252,-0.4248816],[-2.4539638,1.5105462,-0.620307,0.489939,0.6829028,0.4796016,-0.2521624],[-1.8406597,-1.3764545,1.8921808,0.6107092,0.7263734,-0.3029058,0.0875443],[1.8810246,2.9073442,-0.0078058,0.5503196,0.2656294,-0.2835017,0.7390644],[0.2282369,-0.4344395,-2.9654286,0.2892459,-0.5579135,0.7778463,-0.0049396],[2.4545214,-1.6477431,0.5853812,0.2556508,-0.0820363,0.7080841,0.6530923],[2.7652437,0.7510175,0.4564897,0.7212363,0.5058717,-0.0381963,0.4716493],[-1.8286794,-2.9199596,0.0478116,0.6319689,-0.3488783,-0.4274576,-0.5442236],[-1.9113729,0.0422112,-2.2848526,0.4587799,0.5307438,-0.7126232,-0.0004887],[-0.981472,2.3251972,1.5806124,0.2313999,0.6949823,0.5445168,0.4086014],[-2.6872995,-0.8402188,-0.3595876,0.0605952,0.0624638,-0.9768969,-0.1951894]]},{"n":24,"s":"5.47474+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.4747450007264,"st":5.47474468056,"cf":null,"den":0.5137,"vlb":4.38471,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n24.json","ok":true,"ver":true,"cert":["(1) containment, exact, 9600 vertex/face tests: ok;  min wall gap ~ 1.000000395931e-07","(2) separation, exact, 276 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005025e-07"],"p":[[-1.0445963,2.3193734,1.7222371,0.4926509,0.6873974,-0.4271311,-0.3199046],[-0.4524632,3.0187753,-0.5717907,0.1888108,-0.7122971,-0.2628101,0.6228276],[1.7302389,1.5111742,-1.9837783,0.2133809,-0.5663838,-0.4776202,-0.6368336],[0.142406,-0.6624342,1.0241957,0.321993,-0.3725694,0.8602214,-0.1324077],[-2.8081125,0.8000906,1.3069187,0.2061198,-0.718388,-0.3714847,-0.5508469],[-1.8211507,-0.205836,-2.3984132,0.9110771,-0.259782,-0.0042125,-0.3200533],[0.5182101,-3.103515,0.3499393,0.5728897,-0.7604907,0.0355325,-0.303626],[-0.9632309,-2.1776783,-1.7613572,0.2247451,-0.3889529,0.4802838,-0.7533477],[0.1096066,-1.8365934,2.9550993,0.0552334,0.4393451,0.8851655,0.1428539],[1.2863418,-2.0286503,-1.6171267,0.3122737,-0.6668151,-0.6746284,0.052147],[-0.5298906,0.5112895,3.0347797,0.2217388,-0.432114,0.0209845,0.8738816],[1.1769727,1.8123264,2.0634595,0.1969142,-0.5714039,-0.3447733,-0.7182296],[-0.5379198,1.8968963,-2.8030511,0.9383733,-0.2617888,-0.1771678,-0.1397631],[2.1054399,-0.5248713,2.2236967,0.1184063,-0.5562496,0.4390336,-0.6955687],[2.9169197,-0.4116823,-1.6268842,0.1753433,-0.4482338,0.4850263,-0.7301306],[-2.4219624,1.6467181,-0.8769833,0.3348357,0.8660655,0.1517138,-0.3388194],[-2.0447825,-1.199435,1.92926,0.9465672,0.1693067,-0.1464531,0.2321578],[-1.8947528,-2.8680573,0.1594925,0.3526812,0.4522143,0.5078632,0.6428011],[1.8841446,3.0029614,0.0069469,0.6706806,-0.2271311,-0.4196817,0.5678611],[0.3597875,-0.4646823,-3.0867137,0.387083,-0.4971342,0.7745756,0.0552889],[2.5111712,-1.8524014,0.3898771,0.2755727,-0.0683709,0.7643186,0.5789665],[2.6268389,0.8739063,0.3547476,0.6490792,0.500509,0.0643609,0.5692492],[-0.1850916,0.5272393,-0.8365357,0.1653027,0.8347729,-0.1898783,0.4896687],[-2.7169785,-0.8011771,-0.4288817,0.3988642,0.1235179,-0.7283375,-0.5433003]]},{"n":25,"s":"5.53087+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.5308730684687,"st":5.530872747685,"cf":null,"den":0.519,"vlb":4.44478,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n25.json","ok":true,"ver":true,"cert":["(1) containment, exact, 10000 vertex/face tests: ok;  min wall gap ~ 1.000000015184e-07","(2) separation, exact, 300 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000006135e-07"],"p":[[-2.5100543,1.8531397,0.4626349,0.4416385,-0.5982138,0.4397191,-0.5037289],[0.9171585,2.2791988,1.8399523,0.0936906,0.3312754,-0.6624055,0.6653553],[-1.1583745,1.5308657,2.6220995,0.5777353,-0.7563649,-0.3063872,0.016152],[-0.1730508,-3.0218319,0.6826696,0.585404,-0.6117645,0.2574815,0.4655638],[1.6336501,-2.7516893,-0.6720912,0.6691948,0.5310947,0.4558695,-0.2495992],[-1.9335277,-0.7092658,-2.3378117,0.0812927,-0.7549354,-0.202499,0.6184321],[1.9937589,-0.8087918,-2.2236832,0.5825967,-0.4445821,0.6057929,0.3097464],[1.8560073,-1.6739925,1.5548781,0.4052287,-0.0868012,-0.8964976,0.1566757],[2.5691872,1.2380732,-1.5040793,0.3019969,-0.3204089,-0.7654892,0.4692145],[2.8209026,0.6107297,1.6220516,0.5263218,0.2292076,0.2864387,-0.7670737],[-0.706994,3.1324486,0.1560742,0.2054948,0.0111229,0.8496311,0.4855669],[0.5458459,0.8430084,-0.1427189,0.2762456,0.2046316,0.0162688,-0.9389087],[0.0518087,-1.9767498,3.0005272,0.4097627,0.0832457,-0.1432906,-0.8970131],[-2.9343914,-0.1342186,1.9951542,0.6132692,-0.3353912,0.173269,0.6938238],[-1.6941202,1.5250032,-1.5945618,0.0058724,-0.2512872,0.558123,0.7907711],[2.984187,-0.7779917,-0.1826448,0.7702785,0.5382309,0.3180476,0.1257949],[1.8433787,3.067693,-0.0616623,0.153714,0.5653328,0.0747042,0.8069635],[0.2839823,2.517569,-1.9335965,0.4873773,0.4472343,-0.4264602,-0.6169089],[-0.2634466,-1.1182365,-0.8206613,0.5372717,0.1310872,0.4627681,0.692821],[-0.836927,-0.6667398,1.296722,0.7088083,-0.321625,0.5751574,-0.2516788],[-2.1440664,-2.550683,-0.3183168,0.1922738,0.8370664,-0.3722789,-0.351794],[-2.887252,-0.2565961,-0.3210876,0.5736797,0.5632172,-0.2984474,0.5143998],[-0.0029716,-1.9086041,-3.0703258,0.0097214,0.0012591,-0.97222,-0.2338637],[0.8481187,0.1940996,2.7723161,0.532189,-0.7442706,0.3895008,-0.1054762],[0.078172,0.5914639,-3.1182178,0.2159768,-0.0947507,-0.7774166,-0.5830951]]},{"n":26,"s":"5.61552+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.6155248677977,"st":5.615524541841,"cf":null,"den":0.5157,"vlb":4.50327,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n26.json","ok":true,"ver":true,"cert":["(1) containment, exact, 10400 vertex/face tests: ok;  min wall gap ~ 1.000000649762e-07","(2) separation, exact, 325 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000006135e-07"],"p":[[-2.5869068,1.7848094,0.4474968,0.4796885,-0.5516752,0.4689482,-0.4956218],[0.6034482,2.3884217,1.976574,0.0112372,-0.405941,0.6099992,-0.6804312],[0.129575,-3.0366631,0.8231364,0.5457115,-0.4531235,0.4482069,0.5440484],[1.8704321,-1.478441,1.6016265,0.4673238,-0.1590739,-0.869588,0.0109864],[2.8661924,0.8441554,1.3806357,0.8114385,-0.1374274,0.028007,-0.5673596],[-0.8052149,3.2068996,0.0856249,0.2653243,0.0150889,0.8472835,0.4598761],[0.7422359,1.1104316,0.0993666,0.3434928,0.2905721,0.3009718,-0.8408309],[0.1571579,-1.9816054,3.0681942,0.3515774,0.0635518,-0.085553,-0.9300727],[-1.2668724,-2.7701831,-1.1913136,0.4978962,0.8069001,-0.3173621,0.0171178],[3.0079415,-0.8983304,-0.2317648,0.7693619,0.5403779,0.3162123,0.1268218],[1.8099483,3.1427986,0.0497288,0.3133757,0.4748336,0.6485989,0.5056167],[0.3832234,2.6086554,-1.9436751,0.4798947,0.4366265,-0.410948,-0.6404531],[0.0489087,-0.6979738,-1.1981791,0.5422798,0.130098,0.6510126,0.5149658],[-2.2036808,-2.2360605,0.8966629,0.3451063,0.7118315,-0.2721663,-0.5478348],[1.9732368,-0.6180597,-2.3884522,0.3847913,-0.6222811,-0.0216932,0.6813452],[-0.3976017,-0.6354394,1.3054645,0.2420651,-0.7307303,-0.5881295,0.2480755],[1.2440547,0.2481588,2.8758866,0.0100216,0.3692761,0.8393383,0.3988058],[2.5939818,1.3167715,-1.2168681,0.1163753,0.6262409,0.7431573,-0.2049301],[-1.7393864,1.6101875,-1.6255413,0.4685883,-0.5438066,-0.4137899,-0.5598905],[1.4484207,-2.7306154,-1.1595484,0.3317038,-0.4378527,0.4163885,-0.7244848],[-0.0006934,0.7157037,-3.1311485,0.3171635,-0.2665575,-0.8360194,0.3597584],[-1.3062145,1.2515194,2.5644275,0.1787537,0.9776922,0.0268966,0.1069653],[-0.0124867,-1.9078151,-3.1047233,0.5426073,0.0804975,-0.4145407,0.7261223],[-3.0679876,-0.158451,1.7887118,0.1975352,-0.0204995,0.9792558,-0.0402206],[-3.2019456,-0.2571795,-0.5933144,0.0771486,-0.0634987,0.0625449,0.9930278],[-2.0001992,-0.5826128,-2.4566148,0.3220134,0.8954726,0.3070337,0.0129051]]},{"n":27,"s":"5.66985+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.6698583004267,"st":5.669857975052,"cf":null,"den":0.5203,"vlb":4.56028,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n27.json","ok":true,"ver":true,"cert":["(1) containment, exact, 10800 vertex/face tests: ok;  min wall gap ~ 1.000000201071e-07","(2) separation, exact, 351 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[-3.1895897,0.1008412,1.8677979,0.1463944,0.8617151,0.4106004,0.2596594],[2.973271,1.1041792,0.7108209,0.4930777,0.7943566,-0.093152,-0.3423371],[2.535663,-0.581524,2.1083627,0.3245815,-0.2952014,-0.1550773,-0.8851294],[-1.7765434,1.5325303,-2.1800729,0.9411996,0.3217886,0.0662645,-0.0787683],[2.7910247,1.0116371,-1.690612,0.4345992,-0.6540711,0.1520681,0.6001581],[-1.5907018,-1.6889799,1.6414618,0.7722956,0.0376949,0.5032578,0.385837],[-0.0498064,-1.0829475,-0.8379595,0.9227281,0.2911828,-0.1280207,-0.2177067],[-2.517795,-1.9677985,-0.6259552,0.5548755,-0.117981,-0.1284914,0.8134394],[1.907619,3.1182273,-0.2554524,0.6733721,-0.3334666,-0.2771639,0.5987905],[-0.0160077,0.159119,-3.1536474,0.5952469,0.3441652,-0.4231942,0.5900323],[2.0158686,-0.9960049,-2.3264158,0.4350351,-0.6554555,0.1521283,0.598314],[1.3709891,-2.5821582,1.3967715,0.6826836,0.3916417,-0.5832914,0.2008259],[-0.0046113,-1.7720851,3.2423301,0.5109712,-0.444189,0.5884,0.4420294],[-3.2437907,0.3959493,-0.6821602,0.5612018,-0.7404015,0.3661112,0.0531101],[0.558643,2.2667802,-2.3307179,0.5486558,0.1729215,-0.803194,0.1547721],[-0.8458479,1.2143908,3.0719448,0.4426772,-0.0505168,0.8952441,0.0047807],[0.2841292,-0.3745341,1.3245901,0.0840466,-0.7993889,-0.5939557,-0.0336175],[1.3979987,-2.8495328,-0.8499351,0.8676054,-0.2316468,0.200156,0.3918396],[1.4324884,1.4133031,2.555536,0.0119463,-0.1966374,0.8963173,0.3972485],[0.5928686,1.0696639,-0.4458114,0.810524,0.3759485,0.3305392,-0.3040681],[2.770797,-1.1338426,-0.1750341,0.0722496,0.3454213,-0.0030189,0.9356575],[-0.7909628,-3.2296972,0.0542236,0.869788,0.1375712,0.3636729,-0.3037845],[-2.0379618,-0.6658942,-2.4242979,0.6904727,0.6716628,0.017184,0.2679948],[-1.5043543,1.1567423,0.6299835,0.1442228,0.51442,0.8384558,-0.107535],[-0.0292407,-2.124593,-2.9042883,0.587217,0.7356498,-0.3177452,-0.1141644],[-1.5794159,3.2233115,-0.3490279,0.088055,-0.8832565,-0.1796634,-0.4240581],[-0.0178243,2.7190119,1.3504934,0.2164452,0.2358413,-0.9313067,0.1737762]]},{"n":28,"s":"5.73945+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.7394501808204,"st":5.739449854001,"cf":null,"den":0.5202,"vlb":4.6159,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n28.json","ok":true,"ver":true,"cert":["(1) containment, exact, 11200 vertex/face tests: ok;  min wall gap ~ 1.000000369010e-07","(2) separation, exact, 378 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000007245e-07"],"p":[[3.0462117,1.0606159,0.6049554,0.4886577,0.5308657,0.4111697,-0.5570769],[2.6616074,-0.65026,2.048845,0.2815332,-0.30166,-0.153597,-0.8978576],[-2.0426244,3.2125744,0.0058603,0.7205521,0.4746094,0.0375699,0.5041221],[-2.008994,1.6255115,-1.8769175,0.5882293,0.7310072,-0.2961275,-0.1786709],[3.2397227,0.1117802,-1.8727287,0.2650964,-0.6870116,0.0528297,0.6744984],[-1.8565908,-1.7630012,1.5789895,0.38933,0.7615896,0.2454748,0.4562296],[-0.6063011,-0.7068553,-0.6511415,0.8423796,0.0036278,-0.5037472,-0.1913695],[-2.5520624,-2.0264659,-0.5917094,0.7421492,-0.4134141,-0.1470177,-0.5066451],[2.0257241,3.2162905,0.002033,0.8605055,-0.2806884,-0.1471333,0.3988685],[0.0691831,2.9040631,1.4327658,0.6889603,0.3406747,0.6368999,-0.0602738],[-0.1719908,-0.2133811,-3.137954,0.1358704,0.2420916,-0.2706134,0.9217914],[1.5649895,-1.3436821,-2.3168988,0.2904841,-0.6501035,0.0146173,0.7019763],[1.4126735,-2.570512,1.3978082,0.7488242,0.4092974,-0.5006492,0.1452182],[-0.5312867,-2.4729912,-2.1652973,0.2815707,-0.6438197,-0.0251816,0.7110415],[-0.0054147,-1.8504634,3.2641476,0.5534351,0.4475647,-0.454541,0.5355258],[-1.4665254,1.0352148,0.7816779,0.4905105,-0.1053069,0.0942722,0.8598969],[-3.2495059,0.2577677,-0.4514827,0.5646508,-0.7322991,0.3616133,0.1189257],[0.0525893,2.0022482,-3.2079156,0.7763836,0.1722451,-0.5939961,0.121362],[-0.5263886,1.2926264,3.2502683,0.2012754,-0.2513958,-0.6483877,-0.6898418],[0.1746547,-0.4247375,1.5264546,0.1154752,0.8226957,0.2921704,-0.4737865],[1.6650914,1.4006694,2.5186099,0.5150303,0.0659681,-0.8208499,-0.2379021],[2.7214536,-1.2941611,-0.1281407,0.0220853,0.261099,-0.1043058,-0.959406],[-2.2790999,-0.6449676,-2.325308,0.5935741,0.5045499,0.5479487,0.3047153],[-0.0736746,2.7994614,-1.1078762,0.2165659,-0.8122247,0.4013993,-0.3636879],[-0.7850549,-3.2775854,0.3391428,0.2322388,0.4699112,0.8481085,-0.0772042],[1.1004337,0.6913416,-1.0579785,0.7629277,-0.4196942,-0.2467098,-0.4253615],[-3.1309213,0.1795156,2.0105594,0.2843962,-0.4810711,-0.6899059,0.4601296],[1.3623925,-2.9972718,-0.7897272,0.912141,-0.0012231,0.2622564,-0.3149903]]},{"n":29,"s":"5.77917+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.7791790685695,"st":5.779178742445,"cf":null,"den":0.5277,"vlb":4.67021,"move":"hop","derived":null,"who":"Alejandro 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1.000000007245e-07"],"p":[[-3.1763715,0.1299322,2.0549055,0.4155391,0.593994,0.6346346,0.2678382],[2.5162039,-0.4541362,2.3424981,0.3949617,-0.2955103,-0.1645871,-0.8541604],[-1.9923506,3.2907541,-0.006304,0.7825935,0.4154717,0.1619864,0.4343859],[3.1276309,0.5862798,-1.3129737,0.1266915,-0.8062933,-0.165645,0.553536],[-1.9068291,-1.8335374,1.5735138,0.400791,0.2518036,0.577745,0.6649603],[-0.6354133,-0.8089108,-0.5620912,0.7785295,-0.0292839,-0.5780503,-0.2426769],[-2.3327894,-2.3687316,-0.5781784,0.7913504,-0.3358116,-0.1989511,-0.470546],[1.9515359,3.2343295,-0.1498025,0.8548874,-0.4935308,0.0936233,0.1297292],[0.0798248,2.8056452,1.281252,0.7831237,0.2208287,0.5573497,-0.1652673],[2.0453842,-1.1978485,-2.2013372,0.1579767,-0.6962918,-0.2417769,0.6570883],[-0.5507207,-2.6735004,-1.9512369,0.276852,-0.6342217,0.0337183,0.7210957],[-0.030293,-1.9054065,3.2857131,0.4094738,0.47859,0.0772327,0.7728635],[-1.5379351,1.0833735,0.7151577,0.4385531,-0.0915406,0.1552079,0.8804556],[-3.148885,-0.3261031,-0.1252295,0.5530521,-0.6736043,0.3884444,0.2991681],[-0.9222764,1.30363,-2.9933587,0.8965422,0.2707589,-0.1428573,0.3201461],[-0.8687487,1.1283069,3.1516398,0.2179259,-0.2351681,-0.6626093,-0.6768702],[0.2551167,-0.4581534,1.60287,0.2042417,0.83991,0.3217775,-0.386388],[1.3353189,1.5524091,2.6795514,0.0700948,-0.2190777,0.8906274,0.3922684],[0.8588099,1.0177473,-0.3018332,0.8154239,0.3417852,0.1471826,-0.4434006],[2.7919538,-1.1186635,0.1209271,0.0475848,0.2746257,-0.0319684,-0.9598408],[-0.4774171,-3.3362958,0.385313,0.6199123,0.2649006,0.7146618,0.1865341],[-2.3086768,-0.692568,-2.3667679,0.4754961,0.6410645,0.5016136,0.3336517],[-0.1263846,2.7946515,-1.4386377,0.0016263,0.9057184,-0.3272679,0.2693831],[1.319329,1.210113,-2.8108697,0.9202921,-0.2716344,-0.0136135,0.2812327],[2.8698839,1.2577374,0.9025469,0.7816421,0.0420242,0.5788392,0.2285054],[1.5462318,-3.0081125,-0.687556,0.1731953,0.2683148,-0.0464545,-0.9464949],[-2.4563585,1.5338846,-1.318091,0.0349576,0.6574034,0.7003889,-0.2757791],[1.5305532,-2.6030806,1.5027427,0.3454084,-0.7602673,0.4476292,-0.3198668],[-0.0314136,-0.9408598,-3.2624765,0.1235744,0.5489891,0.4418762,0.6986313]]},{"n":30,"s":"5.84833+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.8483385639913,"st":5.848338232782,"cf":null,"den":0.5268,"vlb":4.72329,"move":"hop","derived":null,"who":"Alejandro 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1.000000000584e-07"],"p":[[-3.3212819,-0.0123776,2.0765206,0.3971064,0.5909253,0.607916,0.3514995],[2.8524373,-0.6189746,1.9480271,0.3664026,-0.299381,-0.1610969,-0.8661224],[-1.9776552,3.2745361,0.1808638,0.7135671,0.4940743,0.2318156,0.4392882],[3.1489971,0.4505432,-1.819594,0.1842271,-0.7572216,-0.0730137,0.6223703],[-1.9369257,-2.2012054,1.5887763,0.3204251,0.2947208,0.4726899,0.7661799],[-0.8744716,-0.5265367,-0.7059666,0.8979492,0.2154643,-0.2887413,-0.2527665],[-2.2411633,-2.4823239,-0.7252522,0.8209096,-0.2228711,-0.2150944,-0.4797607],[2.1052123,3.0911341,-0.521033,0.876823,-0.4352633,0.019548,0.2033353],[0.2108415,2.7911733,1.251074,0.7182179,0.4952129,0.4672073,0.1436824],[-0.2571558,-0.6241547,-3.2739136,0.2452392,0.2912258,0.0146623,0.9245703],[1.758314,-1.188318,-2.4618961,0.2163373,-0.6791565,-0.1427373,0.6867101],[-0.4559522,-2.5326436,-2.1287452,0.2193231,-0.6588719,-0.0627288,0.7168335],[-3.1479385,-0.4886416,-0.1166814,0.5930906,-0.6712826,0.2969135,0.3308558],[-1.1968089,1.4892195,-2.7936905,0.8876197,0.3885933,-0.067094,0.2379599],[0.5509175,-0.5145378,1.3248415,0.239772,0.8395479,0.3152782,-0.3718446],[1.8324294,1.3610455,2.5334326,0.0421757,-0.1981792,0.8889771,0.4106897],[0.8039777,0.9834558,-0.5423819,0.8356934,0.3689911,0.1841489,-0.3627001],[2.802177,-1.2412379,-0.2415138,0.0835072,0.2350466,-0.0273358,-0.9680043],[-0.3400342,-3.3558268,0.1866237,0.6525035,0.2587895,0.7018511,0.1211292],[-2.5528324,-0.6001501,-2.3179728,0.4508423,0.653135,0.5063149,0.3373441],[1.044289,1.4064829,-2.8988656,0.6768559,-0.2075187,-0.115008,0.6968323],[3.0484246,1.1040379,0.5415861,0.808958,0.0310444,0.5396366,0.2311179],[1.5044375,-2.9150725,-0.9912958,0.093891,0.2163358,0.0006596,-0.9717936],[-2.7504424,1.5324606,-1.00712,0.0496391,-0.607692,-0.7398062,0.2844876],[1.6588157,-2.7227549,1.3453368,0.3501295,-0.7595831,0.4451919,-0.3197609],[-1.1068744,-0.2640268,2.8209788,0.2684987,0.9153425,0.2417459,0.1778073],[-1.3842526,1.0017918,0.9642827,0.5394055,0.0520712,0.6089701,0.5792113],[0.0652525,-2.1417222,3.1135782,0.8866444,0.0994643,0.4341246,0.1245163],[-0.1487775,2.9027669,-1.1599428,0.2731936,-0.2000552,-0.0027468,0.9409228],[-0.2820922,1.9233482,3.2571307,0.9634258,0.0581095,0.0729331,0.2512265]]},{"n":31,"s":"5.90253+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.9025327567067,"st":5.902532422464,"cf":null,"den":0.5295,"vlb":4.77519,"move":"hop","derived":null,"who":"Alejandro 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1.000000005025e-07"],"p":[[-3.3518177,0.1520744,2.0574924,0.357887,0.6781575,0.6230879,0.15421],[2.770493,0.9627239,0.1075768,0.6117716,0.2439102,0.5088522,-0.5543579],[3.3095948,-0.1752255,1.9706788,0.451634,-0.4820867,-0.2953208,-0.6902208],[-2.0435539,3.3997641,0.0183826,0.7411963,0.4540037,0.1313703,0.476708],[-2.3122731,1.7222057,-1.4251432,0.4063728,0.8507832,-0.150422,-0.2973254],[3.4073522,0.0504911,-2.0048542,0.048496,0.8109219,0.1437207,-0.5651532],[-1.2636052,-0.5161458,2.9478362,0.0671445,0.9768471,0.1993382,0.0390587],[-1.3553552,-3.3469305,0.1427121,0.3636861,-0.3564518,0.7546122,-0.4138055],[0.3323475,-0.3719082,-3.4077074,0.0133996,-0.4335664,-0.0322768,0.9004437],[1.8342566,-2.188405,1.775187,0.8580925,0.1741465,-0.4814547,0.0393904],[-0.4965785,-2.2944801,-2.6206536,0.2208601,-0.7793744,0.3870566,0.4404356],[0.9889269,-0.4783947,3.205531,0.3755613,0.3862006,0.4907967,0.6847783],[-3.3450005,-0.0786561,-0.3381007,0.1179581,0.9077701,0.3229197,-0.2403377],[-0.1155453,2.1377162,-3.2774872,0.7757983,0.1442672,-0.6013894,0.1251193],[-0.3811183,1.6088317,3.2245311,0.1916113,-0.3355323,-0.863557,-0.3239945],[0.3738196,0.4824895,1.0266226,0.5334686,0.6079162,0.5503438,-0.2072942],[1.5952363,-3.4633177,-0.3140325,0.849305,-0.0803751,0.4676942,0.2312638],[-0.100186,0.7602959,-1.1666524,0.9015484,0.164133,0.3854277,-0.108242],[2.9953503,-1.4462576,-0.1550626,0.4099545,-0.0484672,0.294633,0.8618466],[-2.068725,-0.2004058,-2.6650878,0.5656408,0.5482305,0.3700037,0.4925354],[0.0717732,3.0563569,-1.0387844,0.0981233,-0.854049,0.4069921,-0.3087548],[-2.4080481,-1.6967252,1.2055697,0.2900224,-0.6049977,-0.7060029,0.2267701],[1.9028509,2.0280139,-1.8669837,0.8083895,-0.5296347,-0.0822872,0.2433563],[2.1446833,3.1080494,0.2564805,0.9305538,0.3430612,0.0762262,0.1028015],[-0.4863126,-2.5819979,2.1710317,0.1917772,0.3114693,-0.6949866,0.6190331],[-2.5432699,-1.9669825,-1.2051809,0.2900671,0.6492685,-0.6398326,-0.2914203],[-1.7535053,1.2233969,0.7660682,0.6238893,0.1075044,0.3288615,-0.7007532],[0.1264792,-1.555304,-0.3777365,0.3267371,0.8776036,-0.1786271,-0.3019058],[-0.0803179,2.8693639,1.3211505,0.1900738,0.6530649,-0.0921172,0.7272501],[1.8110846,-1.8315321,-2.1552319,0.2421225,-0.131926,0.1936353,0.9415294],[1.8465993,1.6871888,2.2640605,0.2615056,0.1572633,-0.0978242,0.9472663]]},{"n":32,"s":"5.94969+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.9496941915533,"st":5.949693849828,"cf":null,"den":0.5337,"vlb":4.826,"move":"hop","derived":null,"who":"Alejandro 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1.000000005025e-07"],"p":[[3.1283785,-1.1542614,-0.0611031,0.1886626,0.5043173,-0.8221483,-0.1847776],[-1.0638736,0.0082975,-2.9098528,0.9012477,-0.0169473,-0.4310463,-0.0407988],[-0.6180016,-1.6997713,0.9621172,0.3564298,0.5929218,0.111743,-0.7133828],[3.3894566,0.0588002,-2.0547641,0.3004264,-0.4736436,0.6953903,0.449264],[-0.0444138,-3.2373042,-1.0056333,0.0904212,0.9554606,0.1245196,-0.2518211],[-2.8788638,-1.1485681,0.0762506,0.2812206,-0.9475701,-0.1231534,-0.088652],[0.015983,2.0982018,-3.4072893,0.3238767,-0.4191155,0.512855,0.6755929],[-1.2546038,-0.0643612,2.8142806,0.6396812,-0.4105994,0.6312404,0.154116],[-0.0076644,2.918364,-1.0527782,0.0947111,-0.2885975,-0.1628932,-0.9387263],[3.1310041,1.1270941,0.1343052,0.3337322,-0.5649506,-0.5955898,-0.4633859],[-1.9062471,2.0191179,-1.9342187,0.5400823,0.7687699,0.3156258,0.1329828],[1.0185022,-0.1314236,3.2323887,0.5132547,-0.379802,-0.0485725,-0.768089],[-1.8439133,-1.9570578,-1.9755627,0.1727209,0.2783639,-0.9370596,0.1208317],[1.788036,-1.7952514,-1.788313,0.5547536,-0.2208176,-0.7796595,0.18873],[0.1032373,-2.1710419,-3.2820572,0.0203016,-0.955401,-0.2629329,0.1329026],[-3.3511585,-0.0577896,-2.1371147,0.3230835,-0.1654794,-0.3580146,-0.8602669],[-3.3946345,0.0252501,2.1253757,0.538539,0.3080389,-0.7275728,0.2927892],[3.2208743,-0.0199539,2.1289193,0.7621141,-0.2703594,-0.4332011,-0.3980261],[1.1992311,-0.0608584,-3.1501518,0.2729436,0.1809637,-0.7126962,0.620337],[-2.1575482,-3.2801512,0.100533,0.6711103,-0.615674,-0.0981466,0.4011529],[1.3182874,1.5678984,1.4713162,0.8338224,0.3445677,-0.4312789,0.0034306],[2.1194255,-3.3822207,0.0037438,0.459525,-0.7063616,-0.4737178,-0.2558936],[-1.0768473,0.4204851,0.280727,0.4420903,0.4204851,-0.7923003,-0.0029387],[2.0846222,3.3469766,0.1201969,0.4348303,0.2228538,-0.5117552,0.706658],[-1.8207037,1.9904309,2.0484491,0.7564597,0.262499,-0.5816245,-0.1434432],[1.7041744,-1.805532,1.8848244,0.6169545,0.1891962,-0.2657105,-0.7162192],[0.1470586,2.1074555,3.3506035,0.37035,-0.5310919,-0.7313832,-0.2141516],[-3.1929851,1.1216621,-0.0099059,0.4980085,0.3613884,0.7214746,0.3175851],[1.078882,0.1057877,-0.7860008,0.0873914,-0.3491935,0.0451591,0.931873],[-2.1298879,3.3922135,0.0377123,0.6122854,-0.5946568,0.5168742,0.0658105],[-0.2606325,-2.0981439,3.2266688,0.1642606,0.2810829,0.6327018,-0.7026373],[1.8891109,2.089053,-1.8814198,0.5611306,-0.1079802,-0.7495702,-0.3340919]]},{"n":33,"s":"5.96371+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.9637123947831,"st":5.963712051532,"cf":null,"den":0.5465,"vlb":4.87575,"move":"hop","derived":null,"who":"Alejandro 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1.000000007245e-07"],"p":[[3.0305107,-1.2173069,-0.0148924,0.2026949,0.4337747,-0.8683164,-0.1295413],[-1.1684291,-0.0383104,-2.8993637,0.9388114,-0.0640335,-0.33826,-0.0106331],[-0.6286331,-1.7462784,1.0076486,0.3371423,0.6525347,0.054929,-0.6763995],[3.3803901,-0.0156094,-2.0567562,0.3153283,-0.4495789,0.7163679,0.430423],[-0.0401744,-3.255617,-0.9873808,0.0899662,0.9506523,0.1316128,-0.266166],[-2.8910208,-1.1519012,0.0968148,0.279802,-0.9488596,-0.1220379,-0.0805172],[1.4e-06,2.0670464,-3.4108811,0.3185687,-0.3874171,0.5330967,0.6813441],[-1.2419745,-0.0773032,2.843862,0.6337029,-0.406842,0.6378739,0.1612985],[0.0723286,2.9247193,-1.0957555,0.0695598,-0.2769102,-0.0708106,-0.9557552],[3.1913521,1.0743322,0.1042002,0.2882902,-0.5773066,-0.6092805,-0.4608505],[-1.983423,1.9963982,-1.8981126,0.5562916,0.765178,0.3124763,0.0860284],[1.020871,-0.1363241,3.2428248,0.5140768,-0.3795816,-0.0486503,-0.7676432],[-1.9022107,-1.9331971,-1.9480606,0.1822022,0.2608919,-0.9302248,0.1828101],[1.7295545,-1.8418482,-1.8163598,0.5541349,-0.2282058,-0.7800955,0.1797431],[0.0421623,-2.1813154,-3.3080452,0.0067163,-0.9613982,-0.2432388,0.1284647],[-3.4056457,-0.0314603,-2.0935816,0.2995399,-0.1831609,-0.3666358,-0.8615719],[-3.3883068,0.0073272,2.151975,0.5495332,0.3083862,-0.7196803,0.2914987],[3.2735157,-0.0184244,2.1760069,0.7273744,-0.2660653,-0.5074468,-0.3776684],[1.220335,-0.0921075,-3.1666363,0.2909918,0.1588133,-0.7195401,0.6102164],[-2.1648221,-3.2793563,0.1411645,0.6701656,-0.6224474,-0.1189553,0.3863768],[1.8075567,1.7890998,1.7855568,0.8279902,0.3467094,-0.4407094,0.0001822],[2.181437,-3.3755159,0.0171415,0.4524133,-0.6962813,-0.5042055,-0.237258],[-1.0897022,0.4165217,0.283392,0.444404,0.419063,-0.7917642,-0.0009152],[2.1645915,3.3405939,0.0489188,0.4481728,0.2492204,-0.4961051,0.7006498],[-1.8013508,1.9738278,2.0735576,0.7497833,0.2734138,-0.5849919,-0.1444102],[1.6239589,-1.8732931,1.8862916,0.5466239,0.2199977,-0.2864383,-0.7554842],[0.1630716,2.1073574,3.3544879,0.3597588,-0.5352617,-0.7347368,-0.2103101],[-3.2057154,1.1180247,0.0281888,0.4991999,0.3558476,0.7287963,0.3050048],[1.0572257,0.0783889,-0.7884457,0.0989232,-0.3422646,0.023411,0.9340884],[-2.1402564,3.3835371,0.0672231,0.6151084,-0.5837691,0.5249922,0.0723772],[-0.3424384,-2.1694446,3.1977821,0.2193638,0.3293253,0.643404,-0.6553287],[1.927161,2.0152895,-1.9354833,0.5718028,-0.1189357,-0.7278973,-0.3592512],[0.0248368,3.2071417,1.1142906,0.8622218,0.0821119,-0.2207537,0.4484406]]},{"n":34,"s":"5.98812+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":5.9881258163288,"st":5.988125474386,"cf":null,"den":0.5562,"vlb":4.92452,"move":"hop","derived":null,"who":"Alejandro 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1.000000002804e-07"],"p":[[0.0703439,3.1946511,1.1986998,0.1942616,0.7065476,0.257763,0.6297707],[3.1049357,-1.4335779,-0.0169078,0.0804815,0.5640997,-0.7744253,-0.2749178],[-1.8997162,-1.9436836,2.0664915,0.1493787,-0.2860085,0.9334871,0.1564833],[-1.0957723,-0.0013218,-2.926799,0.9045103,-0.0471911,-0.4219844,-0.0395382],[-0.3824393,-1.2317489,0.4103666,0.1890105,0.0977554,0.2036957,-0.9556291],[-0.0099951,-3.1697533,-1.2638832,0.0941693,0.9950651,0.0138588,-0.0280272],[-2.9068854,-1.1488374,0.0040283,0.2121025,-0.9520753,-0.160131,-0.151404],[0.0417042,2.0894018,-3.4652996,0.3166388,-0.4240668,0.5250901,0.666474],[-1.0736142,0.0825169,2.9432873,0.5626598,-0.5160254,0.6175709,0.1890449],[1.9223011,2.0300853,-1.9575049,0.1626086,0.9248341,-0.1271102,0.3195048],[0.0303052,2.914378,-1.174277,0.1071322,-0.2717936,-0.2038458,-0.934397],[3.2248841,1.1195489,0.0668544,0.3290352,-0.5756826,-0.5589302,-0.4979181],[-1.8633131,2.0620807,-1.9844975,0.5401606,0.7687576,0.315613,0.1327657],[1.2395262,0.10052,3.1790568,0.6856905,-0.3213527,-0.0648912,-0.6498847],[0.0936359,-2.0961098,3.4145975,0.8399303,0.3318225,0.3607096,0.2330226],[1.7774188,-1.9184874,-1.7427549,0.4786192,-0.3491395,-0.799241,0.101188],[-2.1339156,3.4183571,0.0075657,0.2891457,0.2655706,0.9011027,-0.1840676],[-0.0466109,-2.1168164,-3.4418529,0.3306184,-0.8778396,-0.0843341,0.3361203],[-3.2769325,0.0161976,-2.247685,0.2257528,-0.1822657,-0.3582454,-0.8873979],[-3.4521706,-0.0916401,1.976985,0.1481005,0.2918163,-0.8330267,0.4460672],[3.4044143,-0.085551,2.1189635,0.7469355,-0.3401218,-0.2331484,-0.5215807],[1.2417685,-0.0928661,-3.1782004,0.3176453,0.1286377,-0.7378354,0.5815089],[-2.0366478,-3.4765368,0.068903,0.3941514,-0.5571514,-0.1310124,0.7190707],[1.8977081,1.7838957,1.7360545,0.8319191,0.3464925,-0.433015,-0.0187488],[1.9328288,-3.4493785,0.1357873,0.6253538,-0.4792322,-0.4472428,-0.423371],[-0.8100448,1.0747192,0.1418871,0.0016157,0.2132908,-0.8911811,0.4003758],[2.1595635,3.392864,0.0278582,0.4370376,0.2767856,-0.4975341,0.69631],[-2.0841442,1.8285723,1.9971748,0.3840117,0.3187197,-0.7539786,-0.4271639],[1.7231334,-1.8535302,1.8352913,0.5291204,0.0811742,-0.284159,-0.7954219],[-0.0398025,2.0981821,3.4142718,0.0598825,-0.1774966,0.7075922,0.6813386],[-3.2141608,1.147623,-0.1832153,0.5008411,0.3468724,0.7400553,0.2848786],[1.2002233,0.0994555,-0.7375633,0.1224951,-0.2477834,0.1098513,0.9547413],[-2.0099606,-1.9965446,-1.9033862,0.7033492,-0.2771842,0.6236708,0.198755],[3.4402571,-0.0031546,-2.1030619,0.1484289,0.0751259,0.9244406,0.3431246]]},{"n":35,"s":"6.01397+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":6.0139718038049,"st":6.013971460311,"cf":null,"den":0.5652,"vlb":4.97233,"move":"hop","derived":null,"who":"Alejandro 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1.000000001694e-07"],"p":[[-3.5400845,0.4283382,1.7691048,0.0726974,-0.7917352,-0.4718993,-0.381027],[3.0463931,1.1318618,-0.2831158,0.6327869,0.2042789,0.4562232,-0.5913639],[3.659566,0.0402501,1.6212113,0.7368579,0.1251092,-0.4985881,-0.4390878],[-2.155423,3.6754105,0.0361294,0.790799,0.1674652,-0.0837194,0.5827378],[-2.3797645,0.8723865,-2.7006944,0.6230944,0.6076073,-0.3624943,-0.3334138],[3.6531374,0.0690494,-2.2090826,0.0279478,-0.8432309,-0.087067,0.5297168],[-2.0622892,-0.8970209,2.9669022,0.3754282,0.4494038,0.6679998,0.4592017],[-2.2502585,-3.6177061,-0.0033823,0.6733943,-0.0772691,0.286988,-0.6769102],[2.3984792,3.3512804,0.0845727,0.8863977,0.240218,-0.3533933,0.1780663],[0.3220844,3.0303383,1.3368082,0.9296827,0.1588176,0.2713063,-0.1919893],[0.0461604,-1.8522072,-3.6323584,0.4056435,0.0797866,-0.1152216,-0.9032228],[1.3030956,-2.6379743,-1.9170667,0.2412785,-0.7526818,0.2469894,0.560581],[1.1815059,-2.8303694,1.8669881,0.5839222,-0.0618311,-0.4221031,-0.6906814],[-1.0989304,-2.861575,-1.9095456,0.6226135,-0.3942086,0.400592,0.544498],[2.047829,-0.6130533,3.0522051,0.0573149,-0.7243468,-0.3597213,-0.5853523],[-1.6973312,2.18836,1.9268557,0.1537618,0.6850079,-0.4995174,-0.5075469],[-3.5579961,0.723651,-0.7028433,0.7983195,-0.5355772,0.2648304,0.07555],[0.308942,0.5227674,-3.6475156,0.5730251,0.4967164,-0.616564,0.2115749],[0.0471522,2.2901878,3.570568,0.2320238,-0.3993193,-0.8745214,-0.148059],[0.6863406,-0.9196828,0.3389902,0.4684087,0.8406189,0.0886128,-0.257101],[2.2791526,-3.5576736,-0.0123486,0.662174,-0.296194,0.5634627,0.3953536],[2.0767721,1.9149211,2.137789,0.2660236,-0.1776168,-0.9312197,-0.1746813],[-0.7367136,-0.4607148,-1.6547813,0.7805207,0.5673069,-0.0814066,0.2496461],[3.0950299,-1.3959527,-0.2746231,0.2470497,-0.1876503,0.4848862,0.8177036],[-1.1733255,-2.7496104,1.8152575,0.8413602,0.3968426,0.3624414,0.0571426],[-3.0552564,-1.3095273,-1.6210889,0.715735,0.3474851,0.60011,0.0827373],[-0.5839601,2.4593689,-2.9438137,0.0810156,-0.8477382,0.05197,-0.5216087],[-3.0514511,-1.5435836,0.8523843,0.5207156,-0.4602458,-0.5790991,-0.4262314],[1.8365761,2.0013958,-2.0805956,0.6940756,-0.688074,-0.0417687,0.2075299],[1.4844966,-0.2832789,-1.7798778,0.8935978,0.0970642,-0.4379269,0.0167775],[-0.002787,0.353214,2.4462728,0.2700923,0.5098191,0.0587358,0.8146685],[-1.4365915,1.7339917,-0.808756,0.3221507,0.0873773,-0.8568037,-0.3930286],[0.3252689,3.4874864,-0.9082478,0.2375461,0.4436909,0.8611144,-0.0720567],[-1.3823357,-0.0706321,0.7312294,0.994064,0.0030403,0.0260291,0.1055938],[-0.0117751,-2.0468443,3.6428981,0.309728,-0.0394132,0.7540745,-0.5778294],[0.7008089,1.3214633,-0.1982702,0.7910129,0.518835,0.2640081,0.1881713],[0.0112463,-3.5889264,-0.0907251,0.601191,-0.7509938,0.2271843,0.1515419]]},{"n":38,"s":"6.26922+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":6.2692294544435,"st":6.269229097909,"cf":null,"den":0.5417,"vlb":5.11052,"move":"hop","derived":null,"who":"Alejandro 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1.000000000861e-07"],"p":[[-3.6718528,0.0574333,2.1740059,0.2112681,-0.7846732,-0.5651551,-0.1423145],[3.115099,1.2030819,-0.3547173,0.6305987,0.2077025,0.461992,-0.5880207],[3.7046605,0.0425677,1.5292954,0.7369233,0.122761,-0.5006866,-0.437249],[-1.6993186,3.6922139,0.1145483,0.8141694,0.1902498,-0.2514534,0.4875494],[3.6819354,0.0266591,-2.2586136,0.0071254,0.8302382,0.114015,-0.5455771],[-1.8509627,-1.0401143,2.9093083,0.1354816,0.4413373,0.8345033,0.3007831],[-2.2633941,-3.6463229,-0.0441261,0.6551915,-0.0786456,0.2598946,-0.7049779],[2.390796,3.3226191,0.1798489,0.8458635,0.3032825,-0.389483,0.2020832],[0.3149739,3.0718095,1.4291643,0.9168567,0.1579213,0.2690699,-0.2490704],[0.1334916,-1.8752794,-3.6195319,0.4514629,0.1383363,-0.097735,-0.8760663],[1.4253317,-2.580331,-1.8463257,0.2186968,-0.7659549,0.2914302,0.5296728],[1.3122935,-2.7812119,1.8673871,0.5919436,-0.0650092,-0.4171234,-0.6865746],[-0.9719812,-2.9378658,-1.946633,0.6324561,-0.3849008,0.3425098,0.5783924],[2.175765,-0.5621099,3.0488631,0.0548809,-0.7254209,-0.3583058,-0.5851235],[-1.8611332,1.3746942,2.7127561,0.355323,0.6619317,-0.3980006,-0.526486],[-3.5852326,0.4142807,-0.9170235,0.6846589,-0.6831759,0.2246744,0.1184669],[0.3859808,0.5436237,-3.7233863,0.5860986,0.4565438,-0.630356,0.2251831],[0.0237794,2.3104176,3.6390483,0.2725289,-0.331909,-0.8967296,-0.1069597],[0.6717944,-1.0518209,0.3485062,0.5530736,0.7600343,0.0454973,-0.3382122],[2.3059118,-3.6185894,-0.0112448,0.6481634,-0.3226577,0.5734536,0.3833108],[2.1385716,1.8924332,2.2468559,0.2512299,-0.1860451,-0.9401567,-0.1355586],[-0.7066112,-0.5770258,-1.6799919,0.7351972,0.6268609,-0.0546082,0.2520881],[3.1380908,-1.4434759,-0.3250648,0.24641,-0.1749294,0.4793567,0.8239533],[-1.1088164,-2.9208906,1.7984466,0.844884,0.3806277,0.3735975,0.0414546],[-2.9745196,-1.6228629,-1.6282337,0.82556,0.2527071,0.499858,0.0687883],[-0.5045958,2.4532472,-2.9974135,0.0410782,-0.8343665,0.0607969,-0.5463048],[-3.0313658,-1.6950513,0.9318629,0.5446873,-0.4409187,-0.5748092,-0.4224935],[1.8986497,1.8990882,-2.1570665,0.6635232,-0.7235733,-0.0228265,0.1888323],[1.5130502,-0.2628115,-1.7647382,0.9001875,0.1250374,-0.4147309,0.0450141],[0.126731,0.4115499,2.3138124,0.268373,0.5247014,0.0452449,0.8066085],[-1.4140194,1.6686823,-0.9546302,0.3230406,0.0859029,-0.8335943,-0.4397567],[-1.3573669,0.017935,0.6391544,0.9957738,-0.0751702,0.0515826,-0.0110992],[0.0275746,-2.1722123,3.6742825,0.3541824,-0.0828854,0.7174042,-0.5941515],[0.7925705,1.4030567,-0.0570891,0.7865246,0.5137164,0.2904044,0.1820432],[0.0760788,-3.591081,-0.0466364,0.6404827,-0.7272477,0.1778638,0.1710473],[-2.9137222,1.9207786,0.8060674,0.8401613,-0.3560233,0.3748295,-0.163949],[-2.3057329,0.6112419,-2.9992197,0.2977961,-0.1795556,-0.7903503,0.5044043],[0.4398017,3.5002111,-0.9941204,0.3483643,0.7045112,-0.0582542,0.6155589]]},{"n":39,"s":"6.30736+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":6.3073659533316,"st":6.307365601947,"cf":null,"den":0.5459,"vlb":5.15496,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n39.json","ok":true,"ver":true,"cert":["(1) containment, exact, 15600 vertex/face tests: ok;  min wall gap ~ 1.000000380547e-07","(2) separation, exact, 741 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999972532e-08"],"p":[[3.1624483,0.5727607,-0.0630601,0.2203448,0.4139969,-0.1335116,0.8730575],[3.6927224,0.0150083,2.2343118,0.3936799,-0.5563618,0.6522734,-0.3316882],[2.7247825,1.205451,-2.1660852,0.5437634,0.75447,-0.242877,0.2758753],[-2.1294977,-1.0435187,2.8546423,0.0497287,-0.2568481,-0.9092171,-0.3238525],[0.0241103,-3.5953982,-0.2331595,0.9325034,-0.2518377,-0.0651357,-0.2505445],[-2.2033116,-3.661547,-0.0837497,0.7069306,-0.0682756,0.3287393,-0.6225095],[2.6858723,3.0315222,-0.1140441,0.7708133,0.3347311,0.0246122,-0.541476],[1.0510924,3.186884,1.6112903,0.0101696,0.2342986,0.4937066,-0.8374094],[1.2681121,-2.775476,-1.9464461,0.2497903,-0.00574,0.7164733,0.6513355],[1.1766745,-3.0104888,1.8033704,0.3710293,-0.5818804,-0.3961342,-0.605665],[1.9073762,-1.1356796,2.9495367,0.0992339,0.1353801,-0.4661843,-0.8686179],[-1.4533508,2.9907406,1.6506144,0.620415,0.4561702,0.1374613,-0.6229754],[-3.7134855,0.5165352,0.0333188,0.4627815,-0.807909,-0.0721867,0.3576386],[-0.1439639,1.3238984,-3.6827057,0.2036093,0.3117986,0.9241445,-0.0853339],[-0.22334,2.2917418,3.5742369,0.1663966,-0.5553514,-0.6697018,-0.4641084],[0.7389566,1.1096628,0.7073419,0.498732,-0.1800603,-0.3781766,0.7588327],[2.314045,-3.6319754,-0.0469994,0.9736763,-7.8e-05,-0.0061916,-0.227851],[1.8589298,1.3221296,2.9193796,0.1734514,0.3508687,-0.767684,-0.5074121],[-1.6584775,-0.4863857,-3.0963679,0.4950777,0.8603072,0.111489,0.0483714],[3.0240742,-1.586193,0.818655,0.495836,0.4069845,-0.4307892,-0.6347684],[-1.2444362,-2.9111902,1.8065167,0.9025614,0.3279981,0.1002798,-0.2602771],[-3.1897526,-1.3254487,-1.4923997,0.3842994,0.6112929,0.587357,0.3655772],[-1.1814377,2.7851924,-2.2474212,0.5726368,0.7412785,0.3446527,-0.0617076],[-3.2353368,-1.7598288,1.0254277,0.7137386,-0.1653936,-0.6174747,-0.286264],[1.1777068,2.9264159,-1.9922545,0.7516106,-0.5633086,-0.2572156,-0.2271675],[1.7323743,-0.5333386,-3.2490763,0.4868803,0.8527619,-0.0409289,0.1845794],[-0.0627972,0.8072317,-1.4645518,0.7339801,0.3559799,-0.5752586,-0.060242],[-0.0338933,0.026962,3.6888495,0.1793832,0.5501108,-0.2210275,0.7850775],[-0.0,-2.2918795,3.7083389,0.5576221,0.185874,0.787375,-0.185874],[-0.3398198,3.8044087,-0.2143114,0.4480379,0.3484756,0.8206431,0.066119],[-1.320498,-0.8037829,-0.2107707,0.9093496,0.0223956,-0.3116818,0.2746563],[1.2152576,-0.830827,-0.5987588,0.6220981,-0.1278361,-0.7663165,0.0970093],[0.0713726,-1.0222725,1.6935131,0.5666292,-0.1421399,-0.592922,0.5542302],[-2.8839084,1.0306925,2.1300919,0.493635,-0.4845701,0.7081479,0.1415729],[3.2772767,-1.1378507,-1.5808223,0.2942594,0.1983304,-0.8152908,0.4575777],[-2.962952,1.0921154,-2.158776,0.156336,0.1086293,0.9275566,-0.3215548],[-1.3627043,-2.6257335,-1.9657209,0.3857722,0.4719925,0.7832504,0.1221542],[-1.7130704,1.7202028,-0.2443436,0.1532181,-0.8596838,0.4231486,-0.2416882],[0.0195313,-2.1878863,-3.7024037,0.3114821,-0.002714,0.8779952,-0.3634502]]},{"n":40,"s":"6.32472+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":6.3247214859395,"st":6.324721135065,"cf":null,"den":0.5553,"vlb":5.19865,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/dodinico/dodinico_n40.json","ok":true,"ver":true,"cert":["(1) containment, exact, 16000 vertex/face tests: ok;  min wall gap ~ 1.000000016466e-07","(2) separation, exact, 780 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005025e-07"],"p":[[3.4429916,0.7156039,-0.0246657,0.2764497,0.3643171,-0.1333197,0.8792466],[3.7034363,0.0145038,2.2424687,0.3920215,-0.552724,0.6570986,-0.330207],[-2.4119851,3.5318033,-0.0663942,0.6239638,0.6712095,0.3211754,0.2387329],[2.8996331,1.1049966,-2.1546267,0.575276,0.7087796,-0.2953301,0.2819027],[-2.0998877,-1.0239752,2.9017824,0.097966,-0.338975,-0.8674536,-0.3507461],[0.0383609,-3.5996603,-0.2423281,0.9288297,-0.2452508,-0.0764501,-0.2669885],[-2.2363195,-3.6787944,-0.1052538,0.6809628,-0.0817164,0.3143635,-0.6563441],[2.4857929,3.1766557,-0.1814456,0.8108041,0.3371728,0.0565974,-0.4750873],[1.0969661,3.1195962,1.6493489,0.0434376,0.2334103,0.5282713,-0.8152069],[1.2462659,-2.8113187,-1.9578444,0.245536,-0.02111,0.7194281,0.6493764],[1.1579779,-3.0188496,1.8045187,0.3834932,-0.5655302,-0.4182977,-0.5984444],[1.8891602,-1.1688666,2.9540668,0.093122,0.1558417,-0.4490889,-0.874849],[-1.3102897,2.8789366,1.8605978,0.6549632,0.3461262,0.0626484,-0.6688012],[-3.7250281,0.5230759,0.0651645,0.4468584,-0.8143291,-0.0613396,0.3652713],[-0.1641536,1.3758612,-3.6949114,0.1738153,0.3109996,0.9315339,-0.0728842],[-0.0768758,2.3014957,3.6638063,0.1434216,-0.5123908,-0.7044501,-0.469719],[1.0041198,1.1089365,0.6230883,0.484357,-0.1686595,-0.4151616,0.7513941],[2.3355124,-3.6092695,-0.0526224,0.9759485,0.0059749,-0.0059271,-0.2178385],[1.8990854,1.2901033,2.8719063,0.1787103,0.3836565,-0.7787519,-0.4630505],[-1.6448172,-0.4850537,-3.0760846,0.497144,0.8602617,0.1031816,0.0463815],[3.031873,-1.6030159,0.8527213,0.5058219,0.3981355,-0.4085683,-0.6470736],[-1.2150902,-2.951808,1.8115895,0.8927624,0.3545455,0.1265053,-0.2475262],[-3.1834888,-1.3692407,-1.4780012,0.4123343,0.6085922,0.5752289,0.3587584],[-1.2415419,2.7048249,-2.208119,0.5470471,0.7522362,0.3604348,-0.0704765],[-3.2284685,-1.6714342,1.0399243,0.7723724,-0.1257038,-0.5329026,-0.3219538],[1.2134721,2.8292425,-2.258219,0.7040567,-0.6132437,-0.2401246,-0.2656624],[1.7812429,-0.6068642,-3.2444511,0.4880813,0.8514696,-0.0329342,0.1889218],[0.1291686,0.8410454,-1.524187,0.7367503,0.3830139,-0.552598,-0.0716577],[-0.0025546,0.0569995,3.7038511,0.1712146,0.5440066,-0.1926639,0.798513],[0.005624,-2.2847416,3.719152,0.5573041,0.1891926,0.7900258,-0.1716903],[-0.1305407,3.6083601,-0.2699939,0.4335588,0.1984874,0.8698956,0.1261392],[-1.2235081,-0.9086091,-0.3234942,0.9244644,-0.1944035,-0.2614763,0.1979975],[1.2199409,-0.8940902,-0.592809,0.6283033,-0.0976786,-0.7661842,0.0930355],[0.039815,-0.9679553,1.7220917,0.5632009,-0.1638699,-0.5960851,0.548301],[-3.0192275,0.9750383,2.356235,0.6212308,-0.4639512,0.609554,0.1651224],[3.3605426,-1.0952202,-1.573411,0.2524708,0.1664757,-0.8500601,0.4312101],[-3.0225275,1.0238552,-2.1654137,0.1489105,0.1014319,0.9239255,-0.3374891],[-1.3699712,-2.6492096,-1.9949368,0.4089167,0.4491182,0.7858985,0.1159459],[-1.5534107,1.4537359,-0.0856103,0.1729862,-0.8948953,0.3631185,-0.1933473],[0.014652,-2.1769506,-3.7228821,0.3173553,-0.0098077,0.8718631,-0.3728862]]}],"hasref":false,"family":"platonic","group":"platonic","title":"Dodecahedra in an icosahedron","unit":"edge"},{"id":"icoindod","piece":"icosahedron","container":"dodecahedron","rows":[{"n":2,"s":"1.23606+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.2360681029876,"st":1.2360679775,"cf":"-1 + \u221a5","den":0.3015,"vlb":0.82884,"move":"fresh","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n02.json","ok":true,"ver":true,"cert":["(1) containment, exact, 288 vertex/face tests: ok;  min wall gap ~ 1.000000057181e-07","(2) separation, exact, 1 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999955879e-08"],"p":[[-0.2696723,0.7060114,0.0,0.7385281,0.0779685,-0.5825911,-0.3302798],[0.2696723,-0.7060114,0.0,0.9426522,0.1261557,0.2820926,0.1261557]]},{"n":3,"s":"1.37303+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.3730339551694,"st":1.373033819006,"cf":null,"den":0.33,"vlb":0.94879,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n03.json","ok":true,"ver":true,"cert":["(1) containment, exact, 432 vertex/face tests: ok;  min wall gap ~ 1.000000580988e-07","(2) separation, exact, 3 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999994027288e-08"],"p":[[-0.2515203,0.8761015,0.0298841,0.0662132,0.4231162,0.9032269,-0.0277442],[0.5831488,-0.4441234,0.5341651,0.5541022,-0.1971993,0.6480597,-0.4838407],[-0.4441411,-0.5078021,-0.6108077,0.7867153,-0.534404,-0.2820926,-0.1261557]]},{"n":4,"s":"1.39344+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.3934467638748,"st":1.393446629166,"cf":"(-7 + 5\u221a5)/3","den":0.4209,"vlb":1.04428,"move":"ascend","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n04.json","ok":true,"ver":true,"cert":["(1) containment, exact, 576 vertex/face tests: ok;  min wall gap ~ 1.000000986881e-07","(2) separation, exact, 6 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999850407e-08"],"p":[[-0.3483617,0.9120227,0.0,0.0,-0.4082483,-0.9128709,-0.0],[0.9120227,0.0,0.3483617,0.6123724,-0.2041241,0.6123724,-0.4564355],[-0.0,-0.3483617,-0.9120227,0.7867153,-0.534404,-0.2820926,-0.1261557],[-0.563661,-0.563661,0.563661,0.534404,0.534404,-0.534404,-0.378467]]},{"n":5,"s":"1.53319+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.5331904165026,"st":1.533190267566,"cf":null,"den":0.395,"vlb":1.12491,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n05.json","ok":true,"ver":true,"cert":["(1) containment, exact, 720 vertex/face tests: ok;  min wall gap ~ 1.000000394692e-07","(2) separation, exact, 10 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999994736e-08"],"p":[[0.4117849,0.9162097,-0.3273474,0.8213633,0.5014523,0.2552594,-0.0935442],[0.5940119,-0.8446106,0.3577854,0.0836948,0.2400403,-0.8094584,0.5292948],[-0.0282807,-0.4421786,-1.0221114,0.3111162,0.8055598,0.1189493,-0.4900319],[-0.0277399,0.3515355,1.056734,0.299393,-0.1686095,0.7938366,0.5017551],[-1.090872,0.040674,-0.0507089,0.0624057,0.9071142,0.0112117,-0.4160813]]},{"n":6,"s":"1.55131+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.5513157877316,"st":1.551315641669,"cf":null,"den":0.4576,"vlb":1.1954,"move":"reinsert","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n06.json","ok":true,"ver":true,"cert":["(1) containment, exact, 864 vertex/face tests: ok;  min wall gap ~ 1.000000012303e-07","(2) separation, exact, 15 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005580e-07"],"p":[[0.5443373,0.9197161,-0.3321107,0.4429683,0.0467361,-0.872225,-0.2020355],[0.9136067,-0.3222256,0.5603318,0.7914453,-0.115402,-0.2717933,-0.5351869],[-0.3692694,0.5585307,0.8967507,0.3370381,0.4738289,0.3275663,-0.7447092],[-0.9136067,0.3222256,-0.5603318,0.5416487,-0.5231401,-0.3863493,0.5326118],[0.3692694,-0.5585307,-0.8967507,0.7462477,0.316991,-0.0760582,-0.5803846],[-0.5443373,-0.9197161,0.3321107,0.5901849,0.7364474,0.3193045,0.0858585]]},{"n":7,"s":"1.66853+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.6685318991188,"st":1.668531743486,"cf":null,"den":0.429,"vlb":1.25843,"move":"fresh","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n07.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1008 vertex/face tests: ok;  min wall gap ~ 1.000000691981e-07","(2) separation, exact, 21 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000006135e-07"],"p":[[0.9967337,-0.4837146,0.4606527,0.4061135,0.4933116,-0.5289802,-0.558476],[0.7255242,0.9225408,-0.2493831,0.1403187,-0.1759873,-0.2631854,0.9381219],[-0.3983332,-1.236481,0.0166899,0.5363053,0.606244,-0.4996712,-0.3085021],[0.4265721,-0.4388263,-1.0320497,0.8326879,0.0348848,-0.4117447,-0.3686193],[-1.2721138,-0.0,0.4859042,0.1261557,-0.1261557,-0.9426522,0.2820926],[-0.712697,0.7278298,-0.806325,0.7352833,0.3432132,0.2366404,-0.5343823],[0.0514903,0.5086512,1.1943433,0.3114032,0.831146,-0.0836001,0.4530291]]},{"n":8,"s":"1.69778+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.6977897500714,"st":1.697789592378,"cf":null,"den":0.4654,"vlb":1.31571,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n08.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1152 vertex/face tests: ok;  min wall gap ~ 1.000000570933e-07","(2) separation, exact, 28 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005302e-07"],"p":[[-0.4153043,1.2914915,-0.0244823,0.0214897,0.6988628,0.3066908,0.6458093],[0.8310357,0.7566484,-0.8096534,0.7420898,-0.0631284,-0.3518148,0.5670484],[0.8066387,0.7281606,0.8235065,0.3820681,-0.0760542,-0.4529846,-0.8019007],[-0.0753458,-0.497603,-1.2600561,0.9830692,0.0429024,0.0636062,0.1663986],[-0.4658452,-1.2795761,0.0687025,0.0893785,0.7885764,0.2595376,0.5502717],[-0.6065085,0.066158,0.9185308,0.4767643,-0.2102982,0.5745641,-0.631147],[0.9294972,-0.5887646,-0.0729356,0.0557488,0.2107173,-0.8406111,-0.4958461],[-1.3109659,0.019895,-0.4468202,0.2304183,0.6151515,-0.4600823,-0.5973444]]},{"n":9,"s":"1.77163+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.7716339879407,"st":1.77163382338,"cf":null,"den":0.4608,"vlb":1.36839,"move":"fresh","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n09.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1296 vertex/face tests: ok;  min wall gap ~ 1.000000989586e-07","(2) separation, exact, 36 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000861e-07"],"p":[[-0.8401376,-0.7817654,-0.7612005,0.2981168,-0.5488629,0.2076498,-0.752833],[-0.3793018,0.7176333,-1.1536822,0.0387905,-0.003671,-0.8957182,0.4429116],[0.4122975,-1.4093759,0.0344192,0.9249203,0.1624925,-0.3192097,-0.1273729],[0.5461146,1.3085662,0.0199401,0.0225598,-0.9986286,-0.0316858,-0.0350428],[-1.0317088,0.6178084,0.2585428,0.1843127,0.161788,-0.9383033,-0.2438041],[0.0050806,0.4467178,1.364985,0.8232189,0.1498841,0.5296415,0.1390153],[-0.836736,-0.8714872,0.8566902,0.7814532,-0.5163799,-0.1396668,-0.32121],[1.2067143,-0.0920124,0.622327,0.5637103,-0.7809077,-0.1618331,0.2149974],[0.9202687,-0.1276516,-0.8618908,0.4495535,-0.5445059,-0.5452597,0.4517818]]},{"n":10,"s":"1.81821+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.8182148148885,"st":1.818214648381,"cf":null,"den":0.4736,"vlb":1.4173,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n10.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1440 vertex/face tests: ok;  min wall gap ~ 1.000000057722e-07","(2) separation, exact, 45 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000004470e-07"],"p":[[-0.8595321,0.9699567,0.8079665,0.6066103,-0.7264748,0.3094339,-0.0922441],[1.3361399,0.097091,0.6158236,0.5730388,-0.7662195,-0.0967415,0.2741813],[-1.2078261,0.3911204,-0.6288042,0.1690267,0.5189105,-0.120905,0.8291826],[0.6318158,1.3911977,0.0457203,0.5682446,-0.4423685,-0.5208401,-0.4584036],[1.0541385,-0.4974473,-0.8131905,0.6513338,-0.297803,-0.6227679,0.3150203],[-1.0880882,-0.6529335,0.4676014,0.6505686,0.3303116,0.2510891,0.6360889],[0.3871969,-1.2411827,0.3981417,0.4885544,-0.6488392,-0.4208994,-0.403938],[0.1393841,0.6606712,-1.3445087,0.0818263,0.8646396,-0.2197112,-0.4443308],[-0.4022241,-0.9050713,-0.949061,0.4980174,0.2462579,-0.8277675,-0.0783368],[0.0355,-0.1697172,1.417262,0.5748596,0.5967867,0.4073853,0.3839522]]},{"n":11,"s":"1.86714+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.8671417977351,"st":1.867141627329,"cf":null,"den":0.4811,"vlb":1.46305,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n11.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1584 vertex/face tests: ok;  min wall gap ~ 1.000001015108e-07","(2) separation, exact, 55 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003637e-07"],"p":[[0.9532064,-0.873664,0.8653312,0.5830385,-0.4132024,-0.3401898,0.6112289],[0.9952253,0.8138898,0.9405865,0.4432104,0.0130044,-0.8963224,-0.0012307],[-0.9445831,-0.6448775,-0.9718851,0.7456095,-0.5793887,0.3291522,-0.0058365],[-0.2692217,-0.1475644,1.3892813,0.4512936,-0.8838838,0.1216022,-0.0172141],[0.3338763,0.2202608,-1.3493226,0.3387614,-0.6420276,0.685091,-0.0607591],[-0.51038,1.1356686,0.6217917,0.0773414,0.6318837,0.6648554,0.3907794],[-0.5302012,-1.3096085,0.398135,0.6225103,0.7060493,0.2785661,0.1907256],[1.4837233,0.0152233,-0.3230149,0.7274154,-0.503621,-0.4536899,0.1067625],[-0.9146364,0.9361092,-0.8753851,0.0247349,0.2290929,0.0639268,0.9709881],[0.5786408,-1.1526962,-0.6520245,0.7251771,-0.274305,0.1761508,0.606503],[-1.5065563,0.0193021,0.3884033,0.4655773,0.6812152,-0.1344647,-0.5487284]]},{"n":12,"s":"1.87461+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.8746197357819,"st":1.874619563323,"cf":null,"den":0.5186,"vlb":1.50611,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n12.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1728 vertex/face tests: ok;  min wall gap ~ 1.000000976825e-07","(2) separation, exact, 66 pairs, each with an explicit rational plane: ok;  min plane margin ~ 9.999999991961e-08"],"p":[[0.9917374,-0.827058,0.8475324,0.5813095,-0.4164258,-0.3370192,0.6124434],[1.0139563,0.7616229,0.9387988,0.4418993,0.0776109,-0.8936709,-0.0073448],[0.5723342,-1.158981,-0.6576941,0.9389396,-0.0578112,0.0590407,-0.3340126],[-1.0139563,-0.7616229,-0.9387988,0.7506504,-0.5774477,0.3209682,0.0075787],[-0.2284054,-0.1342788,1.4242959,0.4486122,-0.8858921,0.1170799,-0.0153131],[0.2284054,0.1342788,-1.4242959,0.3344118,-0.6534298,0.6762945,-0.0618382],[-1.5005095,-0.0039128,0.3829871,0.7776577,-0.2183166,-0.4030545,-0.4302714],[1.5005095,0.0039128,-0.3829871,0.4409,0.3870188,-0.7899336,0.1784058],[-0.5723342,1.158981,0.6576941,0.1371061,0.5898905,0.6853081,0.404455],[-0.4946915,-1.293369,0.4402496,0.6212184,0.7088763,0.2800198,0.1821291],[-0.9917374,0.827058,-0.8475324,0.6574492,-0.1151931,-0.6946605,-0.2682122],[0.4946915,1.293369,-0.4402496,0.2800198,0.1821291,-0.6212184,-0.7088763]]},{"n":13,"s":"1.90402+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.9040246873457,"st":1.904024516913,"cf":null,"den":0.5362,"vlb":1.54683,"move":"fresh","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n13.json","ok":true,"ver":true,"cert":["(1) containment, exact, 1872 vertex/face tests: ok;  min wall gap ~ 1.000000483568e-07","(2) separation, exact, 78 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000003915e-07"],"p":[[-1.1977348,0.6572697,-0.7686855,0.7783481,-0.4917946,-0.3880498,0.0415902],[1.1977348,-0.6572697,0.7686855,0.1781425,0.9756946,-0.0923361,-0.0880873],[-0.7686855,1.1977348,0.6572697,0.715965,0.6175978,-0.1596305,-0.2836991],[0.1998862,0.5849744,-1.4804134,0.0763161,-0.5256531,0.8064147,-0.2599231],[0.5849744,1.4804134,-0.1998862,0.2599231,0.5256531,-0.0763161,-0.8064147],[0.6572697,0.7686855,1.1977348,0.6047471,0.2708484,0.1724812,-0.7288157],[0.7686855,-1.1977348,-0.6572697,0.1365523,-0.6902608,0.5876448,-0.3994585],[-0.6572697,-0.7686855,-1.1977348,0.4681949,-0.1286101,0.862742,-0.1411708],[-0.1998862,-0.5849744,1.4804134,0.0860045,0.3659937,0.9087903,0.1809753],[-0.5849744,-1.4804134,0.1998862,0.0582657,0.3345599,-0.9388127,-0.0574933],[-1.4804134,-0.1998862,0.5849744,0.0763161,0.2599231,-0.5256531,-0.8064147],[1.4804134,0.1998862,-0.5849744,0.1693422,-0.2814062,-0.619929,0.7126162],[-0.0,0.0,-0.0,0.2719709,0.1813267,0.9147778,-0.2373479]]},{"n":14,"s":"1.97107+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":1.9710774328126,"st":1.971077254485,"cf":null,"den":0.5205,"vlb":1.58552,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n14.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2016 vertex/face tests: ok;  min wall gap ~ 1.000000521174e-07","(2) separation, exact, 91 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005857e-07"],"p":[[-0.6032131,-0.7417149,-1.3089279,0.1184661,0.3400689,0.5067937,-0.783249],[1.3107539,0.4571466,-0.7843598,0.58454,-0.757282,0.0573907,0.2855579],[0.7323595,-1.3084225,0.5680909,0.0514827,0.9488197,-0.104882,-0.2934119],[-1.1402717,0.6797016,0.9297093,0.1698386,-0.2147207,0.6468256,0.7118051],[-0.7622437,1.4026929,-0.3929989,0.5833175,-0.4188867,-0.3618654,0.5944141],[-0.5646648,-0.7287019,1.342741,0.0919382,-0.1958889,0.9714899,-0.0968625],[0.0075251,0.6853374,-1.6283662,0.6360133,0.5928928,-0.2237938,-0.4403198],[-0.7004502,-1.5953138,-0.0132374,0.0770843,0.9392906,-0.0590033,-0.3291045],[0.9146018,-1.0788633,-0.9728873,0.1172177,0.151741,-0.4592056,-0.8673897],[-1.6461427,-0.0404727,-0.3447408,0.1517708,0.5824939,-0.4723176,-0.6438809],[-0.014544,-4.96e-05,0.0019466,0.3554749,-0.3591473,0.8131804,-0.2887704],[1.572837,-0.0169759,0.6928795,0.016077,0.9073535,-0.0874396,-0.4108595],[0.2980753,0.6172252,1.5075024,0.8203154,-0.0969009,-0.5016622,-0.2569591],[0.7314513,1.4657095,0.2661751,0.4224899,0.7804919,0.4124232,-0.2055279]]},{"n":15,"s":"2.00000+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.0000001715822,"st":2.0,"cf":"2","den":0.5338,"vlb":1.62241,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n15.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2160 vertex/face tests: ok;  min wall gap ~ 1.000000433696e-07","(2) separation, exact, 105 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[-0.0,-1.6180341,-0.0,0.309017,0.5,0.809017,-0.0],[-0.0,1.6180341,-0.0,0.809017,0.0,-0.309017,-0.5],[1.6180341,-0.0,-0.0,0.309017,0.0,-0.5,0.809017],[1.0000001,-1.0000001,1.0000001,0.5,0.5,-0.5,-0.5],[-1.0000001,-1.0000001,-1.0000001,0.309017,-0.0,-0.5,-0.809017],[1.0000001,1.0000001,1.0000001,0.5,0.809017,0.309017,0.0],[1.0000001,-1.0000001,-1.0000001,0.0,0.5,-0.309017,-0.809017],[1.0000001,1.0000001,-1.0000001,0.0,0.5,-0.309017,0.809017],[-0.0,-0.0,1.6180341,0.5,0.5,0.5,0.5],[-1.0000001,-1.0000001,1.0000001,0.809017,-0.309017,0.5,0.0],[-1.0000001,1.0000001,-1.0000001,0.809017,-0.309017,0.5,0.0],[-0.0,-0.0,-0.0,0.1967447,-0.2106511,0.2331522,0.9287399],[-0.0,0.0,-1.6180341,0.0,0.309017,-0.809017,0.5],[-1.0000001,1.0000001,1.0000001,0.5,0.0,-0.809017,-0.309017],[-1.6180341,-0.0,-0.0,0.5,-0.809017,0.309017,-0.0]]},{"n":16,"s":"2.05510+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.0551059986242,"st":2.055105811967,"cf":null,"den":0.5248,"vlb":1.65769,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n16.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2304 vertex/face tests: ok;  min wall gap ~ 1.000000122023e-07","(2) separation, exact, 120 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000000861e-07"],"p":[[1.2680876,0.8634319,-0.7788298,0.1870339,0.0854169,-0.9025808,-0.3782462],[0.7519249,-1.6493099,0.0266169,0.553077,-0.3253825,0.2102259,0.7375887],[1.5689148,-0.3273304,0.2132396,0.3692787,-0.6741346,-0.4609434,-0.4435166],[-0.087842,0.475903,1.7474285,0.2161284,0.7744749,0.315226,-0.504093],[-1.0757978,1.1693613,-0.8244714,0.5533076,-0.5403348,-0.4667476,0.4289937],[0.9833225,-0.6999742,-1.1939911,0.9292941,-0.1590008,-0.0879449,0.3215538],[-0.5477852,-0.8748542,-1.4044863,0.4867187,0.1151003,0.7160655,0.4869364],[-1.6421163,-0.2065744,-0.400054,0.0072967,-0.3695502,-0.5310348,0.7624838],[-0.0311068,0.0655273,-0.0635532,0.401673,-0.5143366,-0.5606885,-0.5096519],[0.4451908,-0.9259779,1.3763686,0.3309122,0.28156,0.7776504,-0.4544017],[0.0859463,0.5280563,-1.7444306,0.4934108,-0.3114326,0.5748412,-0.5736839],[1.1614843,0.9724322,0.8718033,0.1463745,0.1521058,-0.9094368,-0.3582779],[0.1394853,1.7207576,-0.0328889,0.6955401,-0.0884513,0.6388883,0.3165787],[-0.8069938,-1.5338468,-0.0166868,0.3342371,0.7006171,-0.4483304,0.4431942],[-1.1534185,-0.5181267,1.0740598,0.1956874,-0.1083497,0.2123806,-0.951242],[-1.1770907,1.010668,0.7730002,0.2893416,-0.5840231,-0.1590496,-0.7415536]]},{"n":17,"s":"2.09085+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.090857531597,"st":2.090857347078,"cf":null,"den":0.5295,"vlb":1.69153,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n17.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2448 vertex/face tests: ok;  min wall gap ~ 1.000000994591e-07","(2) separation, exact, 136 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002249e-07"],"p":[[1.7958324,-0.0802007,-0.6352641,0.7496411,-0.4136767,-0.3130335,-0.4109986],[0.8805165,-1.5662581,0.2231188,0.3979839,-0.8005913,0.0406719,0.4461034],[1.5421038,-0.2559705,0.8942161,0.0910909,-0.8024813,-0.5366521,-0.2443988],[-0.0499101,0.6547047,1.7407887,0.2121619,0.5546206,0.2759833,-0.7557887],[-1.151691,1.1110653,-1.0381956,0.5507446,-0.5529332,-0.4390361,0.4451883],[0.7362437,-1.0545569,-1.275805,0.8238872,-0.2433388,0.507704,0.0650601],[-0.861101,-0.9454942,-1.3163275,0.4016732,0.7846307,0.4716685,0.0232841],[0.1724958,-1e-06,-0.1095377,0.2464354,-0.1755932,-0.9379466,-0.1693894],[0.2104188,-0.8952197,1.5389469,0.8617427,0.4386213,-0.0683919,-0.2456288],[0.0656513,0.3139999,-1.8079425,0.8609912,-0.1113915,0.4744533,-0.1455339],[1.0724974,1.2057438,0.7158498,0.0343176,-0.4540912,0.8756914,0.1605868],[-0.256897,1.7967496,0.0710447,0.7235566,-0.2809088,0.6029993,0.1842495],[-0.6590823,-1.7742127,0.0840397,0.1415413,-0.9412608,0.225171,-0.2080679],[-1.2402741,-0.6866165,1.0819856,0.2716074,-0.1436661,0.1688369,-0.9365274],[-1.2961362,0.8937712,0.8141052,0.2464652,-0.644835,-0.2062338,-0.693477],[0.940936,1.2990405,-0.8890719,0.1798106,0.6104184,0.2728777,-0.7215229],[-1.7660068,-0.1335047,-0.3306051,0.7639854,0.5748416,0.1351609,-0.2600287]]},{"n":18,"s":"2.16215+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.1621585959791,"st":2.16215840711,"cf":null,"den":0.507,"vlb":1.72407,"move":"reinsert","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n18.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2592 vertex/face tests: ok;  min wall gap ~ 1.000000901297e-07","(2) separation, exact, 153 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005025e-07"],"p":[[1.4765376,-0.6600144,0.556534,0.4923038,-0.7767461,-0.3514968,-0.175364],[-0.0330496,0.6723818,1.9166813,0.3609732,-0.7586451,-0.5353337,0.0870268],[-1.0468669,-1.378167,-0.798748,0.205821,0.4604787,0.8634789,-0.0011132],[-1.8489774,-0.0512515,0.0377495,0.0898079,0.3202639,0.6311458,-0.7007286],[0.0556112,0.0362007,-0.2076061,0.5676208,0.2278132,-0.7362941,0.2894456],[0.4309609,-0.8466112,1.6532111,0.4800028,0.3745093,0.7442619,-0.2746168],[0.280293,0.7331212,-1.7686209,0.3244097,-0.1037773,-0.5568764,0.7575469],[1.4222011,0.7883688,1.0490112,0.0847259,0.0701712,-0.9923164,-0.0566194],[0.1547713,1.5780196,0.5886924,0.7366808,-0.268582,0.5984384,0.1644281],[-1.0149888,-0.4586595,1.2767575,0.3002205,-0.1169296,0.2250962,-0.9195253],[1.1377617,1.3010447,-0.606595,0.5361319,0.3162438,0.1438223,-0.7693293],[0.9032225,-1.5876576,-0.5292746,0.2302875,0.8979553,-0.0541548,-0.3710945],[0.2046601,-0.8391852,-1.7458775,0.5115963,-0.7802007,-0.3197425,-0.16529],[-0.2580451,-1.5957194,0.4871012,0.8518165,-0.0044331,-0.4862806,0.1947313],[-0.8867936,1.5924694,-0.5653122,0.941466,0.1321031,0.2425662,0.1932669],[1.431489,-0.1886484,-0.9945645,0.3899677,0.7736012,-0.4524576,0.2115382],[-1.2454362,1.0270114,0.9957325,0.4021497,-0.4732753,-0.2425599,-0.7452857],[-1.0767674,0.0869038,-1.2763727,0.4088095,-0.413354,-0.3176356,-0.74908]]},{"n":19,"s":"2.20355+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.2035587270879,"st":2.203558534579,"cf":null,"den":0.5056,"vlb":1.75542,"move":"reinsert","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n19.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2736 vertex/face tests: ok;  min wall gap ~ 1.000000908354e-07","(2) separation, exact, 171 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000006135e-07"],"p":[[1.1163487,-1.3075208,0.9036315,0.8144086,-0.3722184,-0.0474104,-0.4426561],[-0.1072434,0.8406512,1.7803014,0.1615319,-0.9559168,-0.1060901,0.2210777],[-1.0298465,1.4550698,-0.7750845,0.4993182,-0.4900206,-0.1361822,0.7014382],[-1.025166,-1.4764759,-0.7989846,0.2662779,0.4846461,0.8302003,0.0705811],[0.2651471,-0.1977326,0.0667432,0.3873455,0.1366832,-0.8707087,0.2704579],[0.06851,-0.7442161,1.9091484,0.5476428,0.3990453,0.5862663,-0.4440067],[0.3015081,0.9335764,-1.7191103,0.313394,-0.0878502,-0.0696053,0.9429855],[1.2054182,1.279261,0.9854594,0.2019758,-0.1278937,-0.9428741,0.2320291],[0.1776652,1.9250078,0.00899,0.6205709,-0.5993515,0.361404,0.3536336],[-1.209609,-0.2242955,1.1913904,0.1785915,-0.0468108,0.1223744,-0.9751607],[-1.175873,1.3270662,0.7761958,0.3241541,0.5782198,-0.002374,0.7487192],[-0.8832452,0.0134653,-1.2260002,0.8819341,0.3071919,0.3494752,0.0754481],[0.5969878,-1.6849004,-0.5034425,0.1978055,0.8894614,-0.043119,-0.4097221],[0.2685868,-0.8303622,-1.7753568,0.4269965,-0.7923319,-0.3979665,-0.1775018],[1.9643937,-0.0043859,0.4761621,0.1437836,-0.1392065,0.3302244,-0.9224422],[1.3283529,0.9806751,-0.6095009,0.0495699,-0.0314656,-0.9403825,-0.3350127],[-0.4799555,-1.5848069,0.6653973,0.0813227,-0.0402122,0.9914465,-0.0938268],[1.5717623,-0.5780157,-0.9718159,0.0151701,-0.2035633,-0.0055126,0.9789287],[-1.9736921,-0.0251685,-0.1026476,0.5930359,0.4613112,-0.6152583,-0.2386582]]},{"n":20,"s":"2.24176+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.2417657583136,"st":2.241765564872,"cf":null,"den":0.5054,"vlb":1.78569,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n20.json","ok":true,"ver":true,"cert":["(1) containment, exact, 2880 vertex/face tests: ok;  min wall gap ~ 1.000000434057e-07","(2) separation, exact, 190 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002249e-07"],"p":[[1.1811504,-1.3003126,1.0105665,0.821419,-0.3457819,-0.1207585,-0.4371763],[-0.2107834,0.9250307,1.7138258,0.0005498,-0.9875405,0.0808993,0.1349772],[-1.2474781,1.2892358,-1.1063694,0.3622941,-0.5866538,-0.0599173,0.7217965],[-0.9855007,-1.6813297,-0.4587419,0.2980779,-0.4303762,-0.8520045,-0.0037799],[-0.0960543,-0.687413,0.3048103,0.4350542,-0.0352638,-0.8310905,0.3446346],[0.0805978,-0.6542997,1.8786987,0.3196498,0.4082579,0.5501686,-0.6545716],[0.0246377,0.8028411,-1.9754647,0.2646794,-0.2048302,-0.0931853,0.9377131],[1.2171022,1.1299154,1.2346642,0.10389,-0.0700843,-0.9879079,0.0912853],[0.6085727,1.9990967,0.0047183,0.8096718,-0.4870732,0.2346351,0.2283366],[-1.4653195,0.3307301,1.0843976,0.1658685,0.0460835,0.1356442,0.9756867],[-0.9867689,1.7139668,0.4684975,0.4429116,-0.003671,-0.0387905,0.8957182],[-1.0184995,-0.3700516,-1.4148746,0.7396007,0.2987195,0.5988877,0.0713512],[0.7045218,-1.8200562,-0.3656796,0.1770491,0.9126374,-0.0937467,-0.3563119],[0.3889691,-0.9409218,-1.7437206,0.3306521,-0.7171841,-0.6134065,-0.0069747],[1.9884925,0.0063824,0.440068,0.0794078,-0.3207797,0.4218779,-0.8442831],[1.3807235,0.9838556,-1.053023,0.0548411,-0.4491713,-0.8557706,-0.2507874],[-1.1868967,-1.3213148,1.1726602,0.1283638,-0.0634729,0.9852915,-0.0932443],[1.6205373,-0.5973841,-0.9068002,0.0513992,-0.1895709,-0.1176171,0.9734409],[-2.0231745,0.0370274,-0.3031436,0.6418253,0.4458079,-0.6038653,-0.1570425],[0.0280395,0.6521399,-0.3892843,0.7514733,0.1597893,0.5352179,0.3511368]]},{"n":21,"s":"2.28370+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.2837063702581,"st":2.283706171749,"cf":null,"den":0.502,"vlb":1.81497,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n21.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3024 vertex/face tests: ok;  min wall gap ~ 1.000001074629e-07","(2) separation, exact, 210 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000007245e-07"],"p":[[0.8487242,-1.8654092,0.3811285,0.8115587,-0.0723444,-0.2514935,0.5223886],[1.5749202,-0.6366129,1.0776459,0.2891185,-0.6671738,-0.591259,-0.3488587],[1.3154145,-1.2710387,-1.182067,0.8336159,-0.2332581,0.0506456,0.4981066],[-1.992656,-0.0887516,0.2417538,0.7022891,0.3227223,0.4609159,-0.4361156],[0.2268226,0.0502132,0.5687932,0.3397146,-0.3657199,-0.6048273,-0.6205053],[0.2529726,-0.9334976,1.8782377,0.4448577,0.3196137,0.7348431,-0.399943],[-0.0669842,-0.7518813,-2.0397275,0.1415019,0.4893142,-0.1534421,-0.8467611],[-1.0388039,-1.7000537,0.4803792,0.6307171,0.679965,-0.2950737,0.2297283],[-1.3054707,1.1954567,1.1338153,0.3663056,-0.5288367,-0.2410702,-0.7266616],[1.1154094,1.5946538,-0.6345595,0.742766,0.3446229,0.2798808,-0.501199],[-0.2731968,0.949739,-1.8627141,0.5676242,0.3693212,-0.5146792,-0.5258421],[-0.1099728,-1.039922,-0.5197641,0.7642194,0.640883,-0.0621801,-0.0370315],[0.7687588,0.1664859,-1.0256013,0.0451395,-0.7505873,-0.0813105,0.654194],[-1.4991302,-0.9737805,-1.1127269,0.8526572,-0.1849413,0.0402639,-0.4869818],[0.1600514,1.6423494,0.7420468,0.4905604,0.6837139,-0.3771321,0.3868556],[-1.6207965,0.649394,-1.0768327,0.5423208,0.7926183,-0.2551908,-0.1119014],[-0.8823808,1.867632,-0.3775321,0.4239805,0.6647435,-0.590008,-0.1739172],[1.5109895,0.9545918,1.1063415,0.7859431,0.467066,-0.4046925,-0.0191519],[0.0144975,0.7346906,2.0777895,0.6012097,-0.6143232,-0.2238745,0.4593845],[-1.0817965,-0.3172525,1.4323726,0.5020574,0.3385921,-0.7498225,0.2665708],[2.0513063,0.0596407,-0.2254514,0.1292087,-0.1991799,-0.2636991,0.9349306]]},{"n":22,"s":"2.29459+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.2945918736784,"st":2.294591676214,"cf":null,"den":0.5184,"vlb":1.84333,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n22.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3168 vertex/face tests: ok;  min wall gap ~ 1.000000882178e-07","(2) separation, exact, 231 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000004470e-07"],"p":[[1.8165201,0.4832886,-0.1719286,0.7734343,-0.1216897,-0.5332784,-0.3203205],[0.9172487,-1.744875,0.4996343,0.7436516,-0.2652645,-0.1976631,0.5809874],[1.5619574,-0.8676335,-0.9708304,0.6533778,-0.2415838,-0.3270651,0.6385634],[0.3616646,0.09386,0.6900502,0.311907,-0.3681073,-0.784547,-0.389483],[0.4499455,-0.9555358,1.7795923,0.4202555,0.412223,0.7857731,-0.1897847],[1.3324199,1.1692175,1.1833595,0.0996302,0.2258129,-0.9187101,-0.3083085],[-0.9652001,-0.4777912,1.5186825,0.2555074,-0.1372628,0.1824589,-0.9394592],[-1.5577817,0.9019362,0.8671817,0.4990159,-0.3070396,-0.3567475,-0.727627],[0.9187383,1.8192866,-0.4788123,0.8418687,0.4945684,0.2153767,-0.0164954],[-0.4458288,0.9572535,-1.7800634,0.6001463,0.3736728,-0.5989408,-0.3761157],[0.9881061,0.5305226,-1.5045258,0.2663427,0.7499413,0.3384883,-0.502071],[-0.0957104,1.6357977,0.7757036,0.4976993,0.7196611,-0.3206436,0.3627272],[-1.7587784,0.4793337,-0.9646427,0.6813682,0.6659131,-0.2934052,0.0788065],[-0.9737347,1.7089425,-0.5579291,0.1983424,0.7873836,-0.5591035,-0.1676026],[-0.3460022,-0.096391,-0.6881827,0.3643755,0.2619892,0.6976179,-0.5584993],[0.01033,-0.6382311,-2.0615245,0.488514,-0.2033097,-0.8276888,-0.1869506],[0.0192221,0.6893438,2.0847358,0.1624491,-0.2197406,-0.5685652,-0.7759239],[1.7713765,-0.5086088,0.970839,0.503005,-0.5694377,0.1696812,-0.6276423],[-1.7976248,-0.5138619,0.1758959,0.2556394,-0.6130304,-0.4646899,0.5855814],[0.0776839,-1.610511,-0.8166183,0.3107402,-0.6284226,-0.0671859,0.7099378],[-1.3367171,-1.134995,-1.2324483,0.4259717,0.441382,0.749691,-0.2483818],[-0.8460557,-1.76634,0.5592935,0.3000775,-0.1059309,-0.0820102,0.9444609]]},{"n":23,"s":"2.34871+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.3487195789645,"st":2.348719378147,"cf":null,"den":0.5054,"vlb":1.87085,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n23.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3312 vertex/face tests: ok;  min wall gap ~ 1.000000697212e-07","(2) separation, exact, 253 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005025e-07"],"p":[[2.1303648,-0.0808251,-0.6843783,0.6788212,0.1586084,-0.5904576,-0.4067002],[1.2674391,-1.3944452,0.2979875,0.6150458,0.3173465,0.5257293,0.4945893],[0.4444309,0.1049207,0.7804129,0.5938211,0.4711965,-0.1276548,-0.6395738],[0.0992575,1.6724324,0.7696371,0.4114611,-0.3924305,0.5410083,0.6196839],[-0.0142037,-2.1647908,0.0344192,0.3092003,0.6253084,-0.0675061,-0.7133215],[-0.7880326,-0.4960661,1.6782703,0.3043276,-0.1153743,-0.7769167,-0.5389563],[0.4703845,1.5624014,-0.9156974,0.6087434,0.4163984,0.5307958,-0.4174921],[-0.7483706,0.6582175,-1.6422543,0.5032739,0.346441,0.2206243,-0.7602755],[-0.8386176,0.4177931,-0.000439,0.5910447,0.5249758,-0.1838872,0.5841678],[0.8826351,0.2520726,-1.6156683,0.438587,-0.6160253,0.405375,0.5136393],[-1.270995,-1.4477818,0.5440335,0.0836953,-0.0808475,0.9880421,-0.1011512],[1.4611971,1.1349612,0.1776764,0.5437137,-0.1143976,0.7908978,-0.2564553],[-2.1319634,0.0513286,-0.8130399,0.7488532,-0.0758882,-0.5949319,-0.2819857],[0.028472,0.7766356,2.1640555,0.4494617,0.1658972,0.6062074,0.6348031],[0.0731322,-0.7126397,-0.5267015,0.1881975,0.0566381,0.9122072,-0.3595161],[-1.2502942,-1.4571232,-1.0692662,0.9345365,0.2287361,-0.257014,-0.0909131],[-0.9919808,1.9320657,-0.3421379,0.2932175,0.7941952,0.5043298,-0.1700849],[-1.3566436,1.2444822,1.2621015,0.444833,-0.2802649,0.6421872,-0.5578269],[-2.1037729,-0.1026489,0.8473514,0.1034756,0.9886084,0.0812754,0.0730793],[-0.1521473,-0.8566792,-2.0300767,0.7233561,-0.0595805,-0.625509,-0.2862598],[2.0364473,-0.1518222,0.8974076,0.4967363,0.4568942,-0.472121,-0.5671],[0.6498232,-1.1095061,1.7419057,0.1664139,0.254427,-0.9472415,-0.101523],[1.2506238,-1.3143801,-1.3528838,0.011831,0.0929515,0.0583113,-0.9938913]]},{"n":24,"s":"2.36541+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.3654143509604,"st":2.365414149134,"cf":null,"den":0.5163,"vlb":1.89758,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n24.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3456 vertex/face tests: ok;  min wall gap ~ 1.000000759947e-07","(2) separation, exact, 276 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000004470e-07"],"p":[[2.1246198,-0.1220364,-0.6443174,0.6356189,0.2328095,-0.5893152,-0.4410169],[1.1848491,-1.6553583,0.428809,0.5567426,0.5313064,0.4875563,0.4123592],[1.9286086,-0.3365035,0.9802414,0.0430384,0.5635683,0.3409864,0.7511769],[1.2710574,-1.4137357,-1.1930002,0.6003216,-0.3669649,-0.3803533,0.600235],[-2.1133278,0.0715657,0.8404985,0.3839842,-0.8799012,-0.279848,0.0038902],[0.4641711,0.1562401,0.7379034,0.5806064,0.5067295,-0.1560868,-0.6178659],[0.6076681,-1.0494257,1.7578854,0.497141,0.8566784,-0.047873,-0.1290778],[-0.040148,-0.9248286,-2.0760802,0.2994517,0.5941527,0.290876,-0.6875336],[1.3314083,1.2485403,1.3850612,0.094215,-0.0024783,-0.995548,0.0012255],[0.2087775,1.894735,0.4960719,0.3555558,-0.3103618,0.7624741,0.4425933],[-1.2830031,1.4075581,1.1613438,0.6574089,-0.4316934,0.1830335,-0.5898755],[0.2713337,1.4617673,-1.1060073,0.6187641,0.3929503,0.5641566,-0.3800636],[-0.7931767,0.3958818,-1.6979159,0.6222951,0.3040436,0.2365381,-0.6814367],[-0.8610992,0.4008055,-0.0337116,0.6588811,0.4492017,-0.1432272,0.5861565],[-1.4117302,-1.2596584,0.3669536,0.3062376,0.1028137,0.9414131,0.096898],[1.4426411,1.1633944,-0.1841745,0.5616852,-0.1650911,0.7715677,-0.2488735],[-2.1548062,0.0527954,-0.8216946,0.7513389,-0.0763653,-0.5920795,-0.2812472],[-0.0735238,0.7255956,2.1006252,0.5395884,0.2019859,0.4483051,0.6834242],[-1.2752192,-1.4145129,-1.1881447,0.7874876,0.5568586,-0.189245,-0.1842774],[-1.006877,1.8722804,-0.4022927,0.3822263,0.7785659,0.4517665,-0.2089142],[0.9508168,0.1780056,-1.5843544,0.1188284,-0.4167836,0.7272124,-0.5322906],[-0.8195262,-0.549008,1.6388198,0.0727491,0.3180775,0.8749399,0.3577911],[-0.2570305,-2.1748065,0.0150138,0.8594138,-0.4360163,-0.2667088,-0.0128101],[0.0408737,-0.7112276,-0.523032,0.5352965,-0.842961,0.0208593,0.0493903]]},{"n":25,"s":"2.39258+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.3925859836694,"st":2.392585780127,"cf":null,"den":0.5197,"vlb":1.92358,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n25.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3600 vertex/face tests: ok;  min wall gap ~ 1.000000247017e-07","(2) separation, exact, 300 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000004470e-07"],"p":[[2.0814146,-0.1671217,-0.3411158,0.6130445,0.0536571,-0.679407,-0.3996291],[1.0227863,-1.8793365,0.5635287,0.6278262,0.658269,0.2804791,0.3063457],[1.7346261,-0.6104785,1.1270118,0.1336663,-0.6094337,-0.3172674,-0.7141885],[1.3355973,-1.468993,-1.0262641,0.6352967,-0.2201994,-0.4533138,0.585164],[-2.156248,0.1011298,0.8140089,0.3862872,-0.8918854,-0.2316474,0.0407703],[0.3565722,0.1102388,0.8385521,0.4638986,0.5609785,-0.1652952,-0.6654162],[0.4240116,-1.0434404,1.9396937,0.441289,0.8966019,-0.003554,-0.0368286],[0.1576207,-1.0296229,-1.96407,0.281053,0.689431,0.2106217,-0.6335082],[0.3860219,1.7514836,0.7960749,0.2842708,-0.3204118,0.7670814,0.4776113],[-0.3839379,-2.2055267,-0.0614177,0.2569737,-0.6658466,0.2922168,0.6365706],[-0.9922365,-0.5760106,1.630249,0.3074919,0.0964504,-0.5492538,-0.7710164],[-1.271324,1.2714123,1.2771277,0.598614,-0.4634845,0.1638399,-0.6324554],[0.1182961,1.5824071,-1.0696464,0.5710612,0.3028335,0.6979626,-0.3082681],[-0.252601,0.4299429,-2.0657112,0.6803696,0.2551312,-0.1714521,-0.665289],[-0.8406449,0.5410651,-0.0597945,0.8780315,0.2950808,-0.1254905,0.3553027],[1.1851233,0.1697909,-1.5110384,0.388101,-0.6761725,0.3914037,0.4888472],[-1.4681562,-1.1880388,0.2574837,0.3051658,0.151978,0.9353454,0.0943689],[0.0471379,0.841957,2.2070176,0.4841131,0.1863341,0.6165418,0.5922755],[0.0189696,-0.7301819,-0.3864194,0.2685626,0.4925025,0.7417713,-0.367547],[-0.9158716,2.1394173,-0.0095274,0.3129031,0.773171,0.5020512,-0.2285668],[-1.4194578,1.2290485,-1.306187,0.3660536,-0.0112604,-0.635384,0.6798273],[1.4238251,1.2661639,-0.3602791,0.4426203,0.0395168,0.2630419,-0.8563496],[-2.1128086,-0.1424936,-0.7865036,0.6067137,-0.195043,0.427987,-0.6408461],[1.6448821,0.9673513,1.183857,0.4108326,0.0352877,-0.3685408,-0.833156],[-1.2544373,-1.3533515,-1.3446933,0.71249,0.4779759,-0.3728677,0.3533648]]},{"n":26,"s":"2.42244+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.4224441230429,"st":2.42244391733,"cf":null,"den":0.5207,"vlb":1.94889,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n26.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3744 vertex/face tests: ok;  min wall gap ~ 1.000000004604e-07","(2) separation, exact, 325 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000002804e-07"],"p":[[0.5886442,-2.2305297,0.0095301,0.971057,0.0496094,0.1209544,0.1998929],[2.1258735,0.1309679,0.9199345,0.08089,-0.7101052,-0.6393391,-0.2836425],[-0.7185271,0.8076912,1.7785946,0.077237,0.9293203,0.3602493,-0.0248747],[-1.2452876,1.6520937,-0.9709281,0.5323389,-0.5427862,-0.3876061,0.5213059],[1.2256138,-1.3230603,-1.4632424,0.6419023,-0.0707821,0.3153377,0.6953513],[-1.3551799,-1.4119041,-1.3536315,0.3625365,0.575754,0.5613038,0.4711823],[-1.9003474,0.5354156,0.855537,0.2831065,-0.5771203,-0.1216511,0.7562961],[0.5100639,-0.0816836,0.8278274,0.4156833,0.0807842,-0.5020978,-0.7540419],[1.1945624,-1.3095825,1.4741748,0.57882,0.3997843,0.566429,-0.4292995],[0.7634029,1.1712129,1.7684081,0.0569777,0.0006327,-0.995314,-0.0781224],[0.1691552,2.132086,-0.2434877,0.6184393,-0.3058038,0.7206701,-0.0682015],[-1.3301159,-0.8787145,1.4193863,0.4325372,0.7411415,-0.5041705,-0.0971234],[0.0080496,-0.607675,2.225034,0.0555077,-0.0233679,-0.2232496,0.972899],[-1.0777019,1.8517556,0.6307654,0.290841,-0.6428331,-0.3047936,-0.6397484],[1.2904721,1.5161302,-1.2240676,0.7810284,0.3075696,0.1204535,-0.5299873],[-0.2524096,0.9671282,-2.0982886,0.3389254,0.740115,-0.071919,-0.5763567],[-0.1962209,-0.9319866,-0.4185592,0.6417393,0.7625725,0.0095512,-0.08101],[-1.441711,0.1822236,-1.3686115,0.0658922,0.3246629,0.581115,0.7433422],[-1.8542517,-0.669157,-0.0586609,0.6209869,-0.7073569,-0.3296169,0.0733087],[1.3952784,1.4101798,0.3903841,0.4137799,0.3737312,0.0091227,0.8300771],[-1.0008118,-2.0739278,0.2687512,0.0940118,0.0291208,-0.0588923,-0.993401],[2.1462039,0.1354454,-0.8844202,0.1400851,-0.5330615,0.1510226,-0.8206179],[-0.4969662,0.5520922,-0.1095495,0.3473328,-0.8114545,-0.1123754,-0.4563697],[0.595482,0.1268071,-1.1690659,0.578314,-0.1068642,-0.5781546,-0.5655707],[-0.0772513,-0.8169003,-2.2023025,0.155741,0.4283145,-0.1342114,-0.8799311],[1.4944944,-0.917587,-0.0036252,0.4487307,0.1237284,-0.7791346,0.4198587]]},{"n":27,"s":"2.44475+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.444756802234,"st":2.444756594137,"cf":null,"den":0.5261,"vlb":1.97356,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n27.json","ok":true,"ver":true,"cert":["(1) containment, exact, 3888 vertex/face tests: ok;  min wall gap ~ 1.000001101774e-07","(2) separation, exact, 351 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000006135e-07"],"p":[[2.2105852,0.0958308,-0.9039473,0.4511217,-0.4507754,-0.6826383,-0.3567851],[0.5328228,-2.2286868,0.0331158,0.9856683,0.0007848,0.0602907,0.1575516],[2.1300975,0.0618871,0.953758,0.3513256,-0.3307553,-0.8740106,0.0572434],[-0.5928311,1.1439343,1.8341936,0.0789431,-0.9212658,-0.2200091,0.3108589],[-1.2636072,1.647949,-1.0464861,0.5364216,-0.5266331,-0.37023,0.5457464],[1.2449026,-1.3628711,-1.4349276,0.709523,-0.0660129,0.2815971,0.6425905],[-1.3719817,-1.4439659,-1.3974211,0.3646896,0.5637089,0.5324002,0.5155422],[-1.8630864,0.7259972,1.0057497,0.0803758,-0.2312581,-0.4676827,0.8493128],[0.4840731,-0.0729501,0.7682563,0.4060143,0.0442123,-0.5120776,-0.7556284],[1.1652937,-1.252455,1.5394631,0.6934284,0.3447629,0.5422237,-0.32602],[-0.0342578,-0.8446852,-2.2144373,0.0813152,0.4408499,-0.1266685,-0.8848697],[0.9785582,1.071354,1.7069951,0.0936295,0.099805,-0.9893619,-0.0493512],[0.2588911,2.140885,-0.2765096,0.5737785,-0.28372,0.7648801,-0.0723854],[-1.7321371,-0.8493288,1.2222837,0.2622017,0.6880312,-0.6557018,-0.1670882],[0.0227868,-0.2376328,2.2892029,0.3067216,-0.1500139,-0.127463,0.9312201],[-1.0374688,1.9847339,0.5160153,0.274353,-0.665494,-0.301832,-0.6250965],[1.3275609,1.5009024,-1.3120232,0.7631048,0.3099952,0.1344811,-0.5508982],[-0.1360355,0.9109277,-2.2139798,0.313353,0.7352886,-0.0902344,-0.5941535],[-0.2691253,-0.8724293,-0.4723699,0.5927178,0.7984611,0.1000586,-0.0336716],[-0.5773443,0.6026013,-0.0737991,0.4520411,0.5487154,-0.4224675,0.56222],[0.6904527,0.0919531,-1.2358524,0.0197504,-0.7231797,-0.0262024,0.6898801],[-1.3341544,0.1416221,-1.4720535,0.0693071,0.341192,0.5836823,0.7335527],[-2.1114842,-0.2567793,-0.2004286,0.6279984,-0.6872045,-0.2899337,-0.2220503],[1.4591169,1.3195177,0.2749371,0.7988042,0.1160975,-0.2576613,0.5310781],[1.5111281,-0.9689701,0.02712,0.0380595,0.8732944,-0.400444,-0.2748692],[-1.0113178,-2.0921988,0.0679204,0.0868655,-0.0437979,0.1089163,-0.9892792],[-0.3182483,-1.4542771,1.2934045,0.42878,-0.2360611,-0.0430559,-0.8709587]]},{"n":28,"s":"2.46823+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.4682394611588,"st":2.468239253292,"cf":null,"den":0.5301,"vlb":1.99763,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n28.json","ok":true,"ver":true,"cert":["(1) containment, exact, 4032 vertex/face tests: ok;  min wall gap ~ 1.000000663844e-07","(2) separation, exact, 378 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000005025e-07"],"p":[[0.8336023,-2.2755999,0.0607615,0.563837,-0.2300591,0.1668513,0.7754491],[0.8517698,0.1582331,1.8160939,0.2830845,-0.766067,-0.5724933,0.0724977],[-0.6705972,0.5307512,1.9280647,0.2848197,0.7181037,0.1525502,0.6163873],[-1.4829488,1.3796342,-1.3500918,0.3461512,-0.9203589,0.0787584,-0.164061],[1.3754501,-1.452983,-1.3703767,0.1129952,-0.5267133,0.7803248,0.3176451],[-1.5047477,-1.3435627,-1.3750461,0.2859826,0.6636502,0.6420675,0.2559916],[-2.0464651,0.4768395,1.0343043,0.0140084,0.4375324,0.8832763,0.1679053],[-0.0895397,-0.7430781,0.6686624,0.5232199,-0.5926391,0.1385308,0.5965141],[1.3473522,-1.3392072,1.5011838,0.7802808,0.5602432,0.2472241,-0.1271602],[-0.0854774,-0.9451032,-2.2213016,0.1653721,0.1247264,-0.9750749,-0.0795263],[0.195356,1.5672732,1.2109481,0.3445989,0.5201691,-0.7751765,-0.0988793],[-0.8968484,2.2423746,0.0759164,0.8956322,-0.200675,0.3935336,-0.0519985],[-1.6186428,-1.0763684,1.2724176,0.1153575,0.4897804,-0.4731222,-0.723162],[-0.1398538,-0.9982766,2.1750259,0.170206,0.2932762,-0.5043312,0.7941468],[1.4511742,1.3536488,-1.3733394,0.4930932,0.1073448,-0.3463335,-0.7908156],[0.0026787,0.7851466,-2.288546,0.4436654,0.1622492,-0.166173,-0.8655765],[-0.1065717,-1.3276695,-0.7272709,0.9373911,0.1778101,0.216215,-0.2072016],[-0.7343967,0.6067651,0.2850188,0.500272,-0.1919625,0.6329732,0.5587694],[0.7291168,-0.0647514,-1.1892096,0.0273387,0.6368701,-0.0449545,-0.7691737],[-2.1019881,-0.3891832,-0.215275,0.5841659,-0.4945556,-0.6182092,0.1788358],[0.9416045,2.2376148,-0.0125054,0.4350525,0.3118619,0.0342263,0.8439787],[2.2401874,0.0769985,-0.9121619,0.2199817,0.1634065,0.7392632,-0.6151392],[-0.9447386,-2.1714488,0.2073476,0.5583832,0.2959605,-0.0486052,-0.7734682],[-0.0098823,1.3721217,-0.8590494,0.1787961,0.2335756,-0.9183377,0.2648212],[-0.811196,0.0134242,-1.1639971,0.0421974,-0.1566824,0.9553368,-0.2469851],[0.9058239,0.6067393,0.1591799,0.0377084,-0.5254037,0.5983456,0.603748],[2.2227928,0.1452587,0.9055745,0.5916037,-0.6986316,-0.3950949,0.0762825],[1.4030862,-0.8359309,0.072729,0.1775075,0.5828889,0.5940146,-0.5252412]]},{"n":29,"s":"2.47572+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.4757220345147,"st":2.475721824275,"cf":null,"den":0.5441,"vlb":2.02114,"move":"hop","derived":null,"who":"Alejandro Zarzuelo","issue":null,"file":"records/icoindod/icoindod_n29.json","ok":true,"ver":true,"cert":["(1) containment, exact, 4176 vertex/face tests: ok;  min wall gap ~ 1.000000212747e-07","(2) separation, exact, 406 pairs, each with an explicit rational plane: ok;  min plane margin ~ 1.000000006135e-07"],"p":[[0.8956156,-2.2603764,0.0881975,0.4955694,-0.2322304,0.24068,0.8015941],[0.5903863,0.277878,1.9854893,0.29357,0.663005,0.6389865,-0.2567825],[-0.9845922,0.1948322,1.6722147,0.1203109,0.8084908,0.3016748,0.4907752],[-1.503592,1.3551109,-1.378745,0.3050985,-0.935455,0.1048956,-0.1443461],[1.489936,-1.3848352,-1.3581524,0.2640989,-0.4999036,0.7569029,0.3277899],[-1.4438993,-1.4060377,-1.3607373,0.4065497,0.6631671,0.5958783,0.1996391],[-2.2629926,0.0239142,0.8108703,0.1351461,0.1051421,0.8979704,0.4053761],[-0.2355424,-0.6770643,0.5494175,0.556233,-0.6190923,0.141388,0.5360401],[1.3613687,-1.3606904,1.4871462,0.7864542,0.5344559,0.2832719,-0.1249147],[-0.0063654,-0.8085148,-2.284647,0.5021702,-0.0684833,-0.8537242,0.1195411],[-0.1567145,1.4858577,1.3274257,0.1531271,0.5234447,-0.8296368,-0.1194178],[-0.9185754,2.2692146,0.1092685,0.8748076,-0.2009241,0.4384166,-0.0461738],[-1.474347,-1.3346045,1.230748,0.2421655,0.1408795,-0.744668,-0.6057875],[-0.2022749,-1.0652093,2.0825749,0.0056909,-0.2035863,0.4918565,-0.8465208],[1.3803585,1.4853284,-1.3302134,0.4174374,0.6646349,-0.0896791,-0.6131592],[0.0185084,0.8102382,-2.2790862,0.4222818,0.1960922,-0.1411828,-0.8736666],[0.0553131,-1.3461896,-0.8265148,0.9228313,0.1945287,0.2592406,-0.2081714],[-1.0493545,0.7427871,0.1797619,0.5714438,-0.3552447,0.5309259,0.5151416],[0.837258,0.0307772,-1.1961737,0.0046205,0.6745893,0.0450663,-0.7368019],[-2.2530057,-0.1127061,-0.7886007,0.3810104,-0.6353197,-0.6355965,0.2172948],[0.7912417,2.2498908,0.0919904,0.4593401,0.3684984,-0.0209082,0.807947],[2.327141,0.0407266,-0.7711409,0.2134348,0.2817702,0.6863829,-0.6355546],[-0.8757059,-2.2345186,0.0896848,0.5085343,0.1249332,0.1617499,-0.8364338],[-0.0905952,1.4105329,-0.8378786,0.1917131,0.2201426,-0.9289938,0.2274947],[-0.732874,-0.034369,-1.1670792,0.296341,-0.4020095,0.7987614,-0.3354856],[0.6359569,0.6196564,0.245828,0.1536868,-0.6089438,0.5420428,0.5583524],[2.2036673,0.0339913,0.9744072,0.5867914,-0.7196868,-0.3572804,0.1003872],[1.2451558,-0.7645822,0.0971054,0.1543762,0.5623462,0.5857394,-0.5628891],[1.4328902,1.4378957,1.3253993,0.83441,0.0457687,-0.33953,-0.4317227]]},{"n":30,"s":"2.49070+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.4907038682277,"st":2.490703659145,"cf":null,"den":0.5528,"vlb":2.04411,"move":"hop","derived":null,"who":"Alejandro 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1.000000007245e-07"],"p":[[0.8624155,-2.2939267,0.0534522,0.8320667,-0.4801059,-0.2644097,0.0851515],[0.8940482,0.2642972,1.647739,0.030372,-0.9599421,-0.2334898,-0.1518919],[-0.7557277,0.3222294,1.8442561,0.1789752,0.785162,0.209862,0.5544785],[-1.3662182,1.3997256,-1.4084333,0.4244528,-0.8972872,0.0982461,-0.0711561],[1.4136891,-1.453178,-1.3824191,0.5798605,0.1998686,0.4545927,0.6458791],[-1.4998337,-1.3493711,-1.4173975,0.2422927,0.6565369,0.6647235,0.2615267],[-2.1869283,0.1362702,1.0203268,0.0922965,0.1799926,0.9752757,0.0890021],[-0.0498428,-1.1068462,0.7393606,0.3455867,0.4394595,-0.6883939,-0.4621244],[1.3608908,-1.340487,1.5204542,0.3219886,0.7603546,0.2249037,-0.5173032],[-0.0056849,-0.9069676,-2.2945065,0.0042656,0.001644,-0.9827946,-0.1846453],[0.2001123,1.5564653,1.2187412,0.2846706,0.6434402,-0.7078944,0.0619102],[-0.821676,2.2569081,-0.1055779,0.5405479,-0.2387134,0.8067353,-0.0014112],[-1.4077223,-1.2945338,1.4792728,0.2308669,0.469926,-0.6087089,-0.5961069],[0.024102,-0.8986693,2.2952576,0.0750384,0.1150702,-0.4891898,0.8612905],[1.5113184,1.3673427,-1.3927282,0.4499896,0.0356326,-0.1788867,-0.8742078],[0.0068083,0.7661936,-2.3372486,0.2200632,0.0888059,-0.1494773,-0.9598657],[-0.0892394,-1.4095302,-0.8092385,0.7044601,0.708613,-0.0081267,-0.0392113],[-0.4622495,0.4956062,0.3441642,0.6991156,-0.0541128,0.2889569,0.6517769],[0.7631649,-0.0666651,-1.2037148,0.0231704,-0.8011691,-0.035525,0.5969332],[-2.2823702,0.1448993,-0.8306256,0.4348012,-0.5877318,-0.4645862,-0.4996787],[-1.4328878,-0.7677867,0.0621495,0.571483,-0.6207356,-0.5182438,-0.1397059],[0.8992723,2.2748724,-0.0194856,0.4382054,0.3872681,0.067809,0.8083325],[1.3434618,-0.8324164,0.0819378,0.2875604,0.9175853,0.2172138,-0.1678227],[-0.9437719,-2.2739139,0.0996986,0.5282007,-0.2841343,-0.1459117,-0.7867538],[0.0669411,1.3432562,-0.9241454,0.2402921,0.2208729,-0.9191106,0.2207047],[-0.7541695,-0.0006736,-1.1829126,0.0668599,0.2017848,-0.9599288,0.1826178],[1.1130547,0.720082,0.0616914,0.5182789,-0.5180049,0.3462469,0.585808],[2.2870161,0.0871354,0.9131375,0.5916859,-0.7362276,-0.3164393,0.0879939],[-1.3855483,1.5426197,1.2033074,0.3279886,-0.0048103,-0.6488997,0.6865345],[2.3231304,-0.0187025,-0.8261392,0.8859931,-0.27332,0.0447875,-0.3718958]]},{"n":31,"s":"2.50916+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.5091663108952,"st":2.509166098946,"cf":null,"den":0.5587,"vlb":2.06657,"move":"reinsert","derived":null,"who":"Alejandro 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1.000000002804e-07"],"p":[[0.9308255,-2.3079703,0.0795338,0.8135494,-0.4105131,-0.4106213,-0.0317259],[0.8135578,0.0906376,1.43198,0.2320537,-0.8829653,-0.2536572,-0.3196583],[-1.09601,0.0901453,1.7187191,0.027666,0.8568804,0.2923401,0.4237073],[-1.4826941,1.395746,-1.4240896,0.2936934,-0.9311253,0.1866645,-0.1091159],[1.5353218,-1.392753,-1.3944771,0.6349636,0.255737,0.309175,0.6601747],[-1.3475601,-1.4340007,-1.4936463,0.171941,0.5898002,0.7085901,0.3470909],[-2.3399121,-0.0790669,0.7703076,0.237102,0.1003758,0.950337,0.174834],[0.0229175,-1.110115,0.6691512,0.2730922,0.4262133,-0.7600458,-0.4075455],[1.3922342,-1.3621992,1.4909771,0.2985138,0.7590756,0.2647797,-0.5143787],[-0.0058479,-0.8588457,-2.3378812,0.0159491,0.0377411,0.9730952,0.2267309],[-0.1759307,1.340132,1.6663839,0.3413026,0.7632509,-0.5424055,0.0822004],[-0.8513389,2.2958612,-0.1153637,0.7674748,-0.3726905,0.52148,-0.0119533],[-1.3907918,-1.4718726,1.398348,0.1962404,0.5628517,-0.5791327,-0.5561411],[0.0107994,-0.9803039,2.2341142,0.3338996,0.3095755,-0.4796335,0.7500839],[1.4502324,1.3714565,-1.4258637,0.3795075,0.0747829,-0.1190001,-0.914451],[0.0278725,0.724058,-2.3439537,0.4178812,0.1383388,-0.1755689,-0.8805755],[-0.4434542,0.4068986,0.2971192,0.6898445,-0.2035071,0.3544027,0.5975769],[0.7901182,-0.0019048,-1.193111,0.0182967,0.6431823,-0.0539555,-0.7635906],[-2.3270664,0.0210811,-0.8968542,0.58732,-0.3939025,-0.3791873,-0.5967521],[-1.32106,-0.9250741,-0.0223418,0.5370443,-0.5667145,-0.5967763,-0.1851384],[0.8107307,2.3102672,-0.0551707,0.3779567,-0.0398153,-0.085173,0.9210369],[1.4098994,-0.8128652,0.0685041,0.258551,0.9203174,0.254311,-0.1466057],[-0.8118379,-2.3503582,0.0176691,0.5177956,-0.150164,-0.2883196,-0.7913345],[0.0102279,1.3583642,-0.9306603,0.2292991,0.1944337,-0.9205402,0.2494459],[-0.767669,-0.0118499,-1.1801777,0.0472378,0.158826,-0.9694481,0.1808679],[1.1197739,0.7848579,0.0634821,0.529181,-0.5418909,0.2179458,0.6154846],[2.315944,0.1125711,0.9296936,0.6017615,-0.7190669,-0.3411122,0.0668462],[-1.53131,1.3992443,0.9650815,0.2806845,-0.0729181,-0.7705092,0.5676396],[2.3009952,0.0764007,-0.7969467,0.8605521,0.0006889,0.2119444,-0.4631729],[1.3972943,1.5380217,1.3883846,0.1868119,0.5897455,-0.6571474,-0.4306493],[0.0837003,-1.3945039,-0.8521339,0.7345032,0.0391805,0.060178,-0.6747951]]},{"n":32,"s":"2.52216+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.5221694496274,"st":2.522169236193,"cf":null,"den":0.5678,"vlb":2.08856,"move":"hop","derived":null,"who":"Alejandro 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1.000000005025e-07"],"p":[[2.3053207,-0.0964576,-0.9573416,0.4445508,-0.4598158,-0.3938992,-0.660142],[0.9199077,-2.3382999,-0.1116681,0.8642009,-0.4584826,-0.0933084,0.1850518],[0.3758428,0.5475728,2.1408743,0.0189636,0.8836876,0.3855694,0.2647127],[-1.4512116,1.4731657,-1.4018824,0.4091561,-0.8868182,0.0422526,-0.2106169],[1.3920837,-1.4215377,-1.5315567,0.0100882,0.0141056,-0.9181961,-0.3957463],[-1.5008341,-1.4180876,-1.4122104,0.4028356,0.0023469,-0.9142711,0.0427352],[-2.3396937,-0.0567608,0.8066407,0.1494532,0.0882063,0.9604958,0.2175572],[0.0518187,-1.3628344,0.7622685,0.376081,0.8219386,-0.1983496,-0.3789953],[1.5157455,-1.3306325,1.4629015,0.3079743,0.521569,0.1924295,-0.7720677],[-0.0377744,-0.8267541,-2.3371034,0.0248217,-0.0167832,0.9089919,-0.4157353],[0.0621251,1.6961436,1.1085031,0.427793,0.821931,-0.375639,-0.0178318],[-0.9072765,2.3356073,-0.0392708,0.8794509,-0.3180762,0.3465838,-0.0726175],[-1.4340574,-1.5350084,1.365283,0.1892332,0.6002504,-0.596975,-0.4975049],[0.0911826,-1.023042,2.2491803,0.1146864,-0.1436739,0.4737905,-0.861236],[1.3862004,1.4293343,-1.5301429,0.2766436,-0.1234474,0.1454578,-0.9418445],[-0.0305775,0.9147219,-2.3291912,0.3785431,0.2608025,-0.0615633,-0.8859442],[-0.0199546,-1.2980787,-0.8955608,0.7117782,0.696706,-0.0366642,-0.0814147],[0.2113642,0.1997603,0.5267174,0.5727925,0.1921057,-0.0092049,0.7968183],[0.7382451,0.0183368,-1.2327612,0.0183699,0.792008,-0.0852932,-0.6042442],[-2.310476,0.0709771,-0.8365232,0.7095179,-0.3946115,-0.3567243,-0.4621838],[-1.1968954,-0.7900852,-0.0067992,0.561476,-0.6705514,-0.4631913,-0.1433852],[0.9193254,2.3387992,-0.1053195,0.4722057,0.1484916,0.015654,0.8687502],[1.2435262,-0.7750666,-0.0290904,0.2869779,0.9385265,0.1135694,-0.1546408],[-0.9170117,-2.3279798,-0.0400591,0.5406764,-0.4040374,0.091811,-0.7321157],[-0.0214258,1.2634977,-0.7510694,0.5898436,0.4783829,-0.6033248,0.2433792],[-0.8775761,0.0600406,-1.3406662,0.0164117,-0.0089125,-0.6820585,0.7310591],[2.3046981,-0.0524382,0.8320598,0.8137787,-0.3007772,-0.4953367,-0.0440335],[-1.509872,1.3764851,1.4632868,0.2553299,0.1809991,-0.690135,0.6525026],[-1.2392654,0.7442344,0.0258134,0.6794171,-0.7243942,0.0619611,-0.0990266],[1.5556754,1.3091929,1.3903674,0.4328819,0.7498603,-0.031416,-0.4993354],[1.485884,0.8603078,-0.107092,0.740714,0.0403875,-0.0230697,0.6702085],[-0.94811,-0.1116692,1.6028618,0.6663322,0.7428673,0.0362485,-0.0532495]]},{"n":33,"s":"2.53601+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.5360109506732,"st":2.536010737801,"cf":null,"den":0.576,"vlb":2.11009,"move":"hop","derived":null,"who":"Alejandro 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1.000000005302e-07"],"p":[[2.3435551,-0.1022795,-0.9601613,0.2805913,-0.5345443,-0.7874082,-0.1245763],[0.9208276,-2.3289432,0.004911,0.876904,0.0025821,-0.0102398,0.4805496],[0.889457,-0.0467345,1.2476036,0.548913,-0.0909884,-0.618088,-0.5553223],[-0.7821849,-0.0250396,1.3393179,0.3963989,-0.8228774,-0.1777647,-0.3662519],[-1.5338367,1.4293308,-1.4179232,0.1956375,-0.8468718,-0.493871,-0.0250101],[1.4163982,-1.5074721,-1.4389889,0.5788462,0.2369418,0.4767196,0.6176844],[-1.4777686,-1.4602984,-1.399948,0.4614713,0.6552428,0.5718784,0.1750891],[-2.3382036,-0.1412923,0.9474463,0.1926416,-0.4565949,-0.8639938,0.0890225],[0.0059543,-1.3171961,0.8654128,0.2847211,0.3878554,-0.7768065,-0.4062928],[1.4561741,-1.4510013,1.4386137,0.600889,0.2730522,0.7484844,0.0643899],[-0.0323322,-0.9824888,-2.3319657,0.0369359,-0.4820617,0.21637,0.8481959],[0.1102122,0.8256231,2.3597451,0.0870253,0.2467248,-0.9579186,-0.1180908],[-0.8551914,2.3789712,0.0414333,0.5059691,-0.409796,0.75474,-0.0801875],[-1.4405081,-1.4744312,1.4694597,0.3064095,0.6979079,-0.6450143,0.0547206],[0.1054188,-0.9363637,2.3427799,0.4886484,0.0068014,-0.3952024,0.777812],[-1.3409432,1.4747618,1.5197717,0.821646,-0.5181157,-0.2352006,-0.0336834],[1.4851742,1.3827321,-1.5133424,0.9038937,0.1857728,-0.0855411,-0.3756959],[-0.0344192,0.794486,-2.4099583,0.1088162,-0.3304244,0.5152941,0.783231],[-0.0318933,-1.2986039,-0.7538216,0.6775202,0.7267652,0.0688557,0.0896524],[-1.6272353,0.9529364,0.1146243,0.5991757,0.6084189,-0.1361839,0.5022638],[0.8291758,-0.0852797,-1.3768969,0.0452803,-0.6319173,-0.0199931,0.7734536],[-2.3726838,-0.0527034,-0.8466723,0.1888547,-0.3002506,-0.7346979,-0.5782755],[-1.2378398,-0.7869599,0.0262241,0.5850745,-0.4487271,-0.5882258,-0.3321477],[0.9887862,2.3339241,-0.0709573,0.4361285,0.2628767,0.056722,0.858761],[1.2758041,-0.8578589,-0.0362286,0.370842,0.8252528,-0.2961083,-0.3061926],[-0.8754624,-2.3417313,-0.0207825,0.1231525,-0.4772756,0.2342495,-0.837955],[0.0101809,1.5487907,-1.0606613,0.6803767,0.0486052,-0.7302419,0.0383645],[-0.87838,-0.0504273,-1.3598151,0.1734794,-0.672553,-0.4699573,-0.5447178],[1.4413834,0.7730237,-0.0601318,0.0442558,-0.5704597,0.5269117,0.6284754],[2.3780985,-0.0859695,0.8624775,0.1075296,-0.8900248,0.0113025,-0.4429058],[-0.0709334,0.2143509,-0.0407983,0.2397222,0.782233,0.2131397,0.5340565],[0.1207755,1.5474605,0.9753149,0.5447306,0.1450442,-0.6284588,0.5359761],[1.5848237,1.3692498,1.4093161,0.0098958,-0.4911285,-0.8474052,0.2014925]]},{"n":34,"s":"2.58115+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.5811521401627,"st":2.581151923699,"cf":null,"den":0.5629,"vlb":2.13119,"move":"hop","derived":null,"who":"Alejandro 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1.000000005025e-07"],"p":[[2.3781551,-0.1814885,-0.977996,0.0159828,0.4368237,0.8834064,0.1688869],[0.9621834,-2.3913627,-0.0744401,0.8604865,0.0200488,-0.3005269,0.4109072],[0.7706284,0.0039653,1.2570547,0.5122125,-0.10577,-0.714556,-0.4646081],[-1.0837056,0.0639312,1.7582993,0.1546447,-0.7916455,-0.4236828,-0.4121592],[-1.5756257,1.373504,-1.4571881,0.1207229,0.8571941,0.0294585,-0.4997763],[1.5255054,-1.5525352,-1.3527337,0.6194883,0.1881068,0.5513764,0.5261503],[-1.4459846,-1.4461844,-1.5610843,0.0607578,-0.464864,-0.7836483,-0.4075602],[-2.4158049,0.12057,0.75383,0.3171619,-0.5295281,-0.7700215,-0.1614785],[1.5351486,-1.3817455,1.5253682,0.5071907,0.1984871,0.8377942,0.0382279],[0.1223623,0.9371547,2.3759287,0.0453082,-0.2073847,-0.9762071,0.044254],[-0.9630853,2.3535738,0.1373142,0.4453716,-0.4114542,0.7846622,0.1290537],[0.0589533,-0.8645296,2.4396698,0.5309296,-0.049299,-0.3646004,0.7633806],[-1.5065789,1.5385165,1.4061133,0.5594685,-0.7259622,-0.1459247,0.3723974],[1.5053545,1.5039742,-1.4619131,0.9351104,-0.2558244,0.2292547,-0.0869756],[-0.1987703,0.8831943,-2.3674744,0.3726441,-0.0505933,0.8202962,0.4309185],[0.0065107,-1.3186378,-0.8080389,0.7346251,0.6563579,0.0560709,0.162408],[-1.256098,0.8384875,-0.0307371,0.5093817,0.4366033,-0.148999,0.7264345],[0.9765756,-0.0337671,-1.8456917,0.4579427,0.6853264,-0.1708721,-0.5398323],[-2.3914408,0.1453582,-0.9047981,0.1945833,0.0322102,-0.4114137,-0.8898531],[-1.7814583,-1.0466838,-0.0956002,0.8620258,-0.3519304,-0.3563777,0.0777908],[0.9011387,2.3857645,0.1691762,0.5131506,0.2526313,-0.1552418,0.8054526],[1.1596676,-0.8068824,0.0398256,0.4659858,0.7961359,-0.3390892,-0.1845083],[-0.7933597,-2.45915,-0.0181001,0.0890234,-0.699806,0.2935564,-0.6451132],[-0.0346359,1.8401059,-0.9817215,0.6233877,0.1834106,-0.7287544,-0.2160216],[1.8589382,0.963474,0.0628097,0.2528782,-0.3830317,0.7512656,0.4742777],[2.3380869,-0.1459006,0.9954855,0.0946939,-0.8029649,0.2046909,-0.5517084],[-0.4094108,-0.3556262,0.3682572,0.3611859,0.5327954,0.2355677,0.7281358],[1.3441369,1.4580362,1.5866994,0.0574968,-0.2252531,-0.9722794,0.0250567],[0.5022529,0.4953057,-0.4860484,0.8920927,-0.2585315,-0.3420096,-0.1426938],[-0.0174325,1.221656,0.7891829,0.2550534,-0.2927339,0.5177855,-0.7623338],[-1.513039,-1.4856158,1.4934758,0.3522546,-0.3625898,-0.6002692,-0.6197759],[-0.1265252,-0.974609,-2.3508929,0.1190234,-0.6670386,-0.5520476,0.4859386],[0.1115646,-1.6464581,1.070424,0.3438428,0.2616089,0.476196,0.7658787],[-0.7963024,-0.0801427,-1.2198483,0.1717155,0.8846224,0.2925681,0.3199388]]},{"n":35,"s":"2.62753+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.6275307435849,"st":2.627530523019,"cf":null,"den":0.5493,"vlb":2.15188,"move":"hop","derived":null,"who":"Alejandro 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1.000000000584e-07"],"p":[[2.4926299,-0.0048313,-0.7674159,0.2001923,-0.4041288,-0.7759958,-0.4409462],[0.9928611,-2.4483358,0.0778948,0.8686793,-0.0903886,-0.035339,0.485775],[1.10445,-0.0853777,1.8081582,0.5289965,-0.3995139,-0.6555536,-0.3616639],[-1.2832882,-0.0376299,1.6498111,0.6576385,0.2540124,0.3369351,0.6240705],[-1.366244,1.4580943,-1.6539784,0.0173272,-0.7530297,-0.6039487,-0.2605609],[-1.6245962,-1.4962691,-1.4485533,0.1469286,0.4649204,0.8638551,0.1265518],[-2.3519314,0.319603,0.6326812,0.0147633,0.4403385,0.8872803,0.1364466],[0.1165577,-1.2993785,0.7973945,0.3004336,0.2616791,-0.8472144,-0.3514135],[1.4716273,-1.5991602,1.5252874,0.6133764,0.295599,0.7115545,0.1734382],[0.3088887,-1.0759849,-2.3267498,0.2690731,-0.7287799,0.3331089,0.5343388],[-0.0328023,0.7453884,2.5104764,0.4785624,0.1197602,-0.8650279,-0.0914452],[-0.3562838,2.503546,-0.0768332,0.1946398,-0.0962448,0.9717995,-0.0919675],[-1.3197637,-1.6023599,1.5290616,0.3364631,0.6826791,0.0557543,0.6462455],[-0.1094764,-0.9779998,2.426122,0.2819573,-0.5478304,-0.6367901,0.4635518],[-1.6076605,1.5043813,1.4901539,0.3015827,0.4283007,0.7617384,-0.3812624],[1.4846184,1.6351135,-1.3638769,0.8993051,0.3398174,-0.2553103,-0.1029129],[0.0193558,1.0486533,-2.4234339,0.2741655,0.5389595,-0.0759035,-0.7928396],[-0.0505266,-1.855618,-1.0269086,0.7986436,0.5498169,0.1689638,0.1769773],[-1.6040056,1.5323202,-0.1213339,0.7597044,0.329687,-0.2471424,0.5030669],[1.2976067,0.1297433,-1.7490665,0.2397175,-0.4302068,-0.022686,0.8700247],[-2.4777187,-0.0591806,-1.0113321,0.5150311,-0.3356129,-0.3152588,-0.7229929],[0.0813235,1.7692918,1.2445816,0.5757569,-0.12417,-0.4114472,0.6955552],[-0.9931152,-2.4599909,0.1310495,0.0032287,-0.7962319,0.4095599,-0.4452696],[0.1072622,1.1251034,-0.7827909,0.2844603,0.1459246,-0.9167456,-0.2395116],[-0.9351801,-0.1835394,-1.9497744,0.0408694,0.5437669,0.7576487,0.3586304],[1.3245953,0.6402107,0.0448815,0.002788,-0.6954261,0.4291982,0.5763364],[2.4890853,0.0028196,0.8924275,0.2101267,0.9146209,0.050217,0.3417508],[0.3496061,-0.4522624,-0.6122003,0.536112,0.4150855,0.0694907,0.7317507],[1.629581,1.4505606,1.4475272,0.9014856,-0.3649654,0.0625682,-0.2240742],[0.027561,0.2246486,0.7628017,0.0204735,0.8571028,-0.5122173,0.0508827],[-1.0560645,0.1319979,-0.4408621,0.5862493,-0.5326165,0.2885132,-0.5379512],[1.5632814,-1.5111188,-1.3633743,0.7960696,-0.2364002,0.2945857,0.4728714],[1.6496887,-1.0370763,0.076506,0.60131,-0.5705986,-0.5550292,-0.0691822],[-1.8371073,-1.0756262,0.1945786,0.5198691,0.7676877,-0.3311913,0.1752256],[1.1561361,2.1493783,0.1360325,0.5145693,0.1279325,0.1150086,0.8400147]]},{"n":36,"s":"2.67096+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.6709616255317,"st":2.670961403663,"cf":null,"den":0.5379,"vlb":2.17219,"move":"hop","derived":null,"who":"Alejandro 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1.000000002804e-07"],"p":[[2.4257462,1.4e-06,-0.944533,0.0690842,-0.4542889,-0.5332812,-0.7102535],[0.9698681,-2.3383168,-0.4683523,0.9292283,0.0879387,0.3217079,0.159077],[0.8518589,-0.1361062,0.7933731,0.5554131,-0.4554721,-0.5306848,-0.4499279],[-0.7721813,-0.0737173,2.0688013,0.132379,-0.9321531,-0.3240532,0.0924987],[-1.564198,-1.1192723,-1.6610469,0.2257962,0.4828842,0.8454983,-0.0311708],[-2.4798199,-0.1173187,1.0329334,0.1431845,0.3884688,0.4571315,-0.7871601],[0.5791464,-1.9797264,0.9874932,0.572148,0.7335942,-0.3541481,-0.0952122],[1.7233785,-1.1742132,1.5626679,0.3908205,0.0228465,0.8339116,-0.3890101],[0.2137943,-1.2766784,-2.1861192,0.395697,-0.7421183,0.3159188,0.4391807],[0.0878015,1.1654076,2.3661591,0.7064444,-0.1783799,-0.6281374,0.2730574],[-1.6864576,1.2207609,1.5854863,0.7991947,-0.4827175,0.3476883,0.0859329],[0.2573792,1.3609629,-2.0497442,0.1894316,0.3830952,-0.0851778,-0.9000547],[-0.5641157,-2.0084764,-0.953712,0.7903352,0.5425439,0.0900481,-0.2700142],[-1.9507098,0.9947229,0.06298,0.4661785,0.3808348,-0.5117775,0.6129651],[1.1131812,0.0554995,-1.8784566,0.2911264,-0.4605171,0.1741909,0.8202603],[-1.7245677,1.239991,-1.561933,0.0278624,0.5743634,-0.3075237,0.758129],[-1.5853753,-1.3225751,1.5853532,0.3892677,-0.7820812,0.2165552,0.4358021],[0.5200856,1.9579284,1.0181198,0.6030724,0.4513706,0.1672797,0.6360706],[1.7892784,-1.1350865,-0.0001948,0.1607862,0.7698441,-0.5077515,-0.3516764],[-0.9525292,-2.3029134,0.5256361,0.180308,0.6108008,-0.2730142,0.7210233],[-0.5618865,0.0307383,-2.2539348,0.2505761,0.6732203,0.6413461,-0.2695576],[2.5392521,0.0290985,0.8422431,0.0762566,-0.989178,-0.0387307,0.1192134],[0.4225092,-0.7114961,-0.7105492,0.5636489,0.3619887,0.1509917,0.7269564],[1.4783347,0.8964142,1.7099743,0.9808181,0.0726233,0.0888194,0.1575846],[-0.4930786,0.8038127,0.6160009,0.3223199,0.6775583,-0.4197356,0.5107315],[0.8971264,2.3905368,-0.3838585,0.162388,0.6282999,-0.607676,-0.4578201],[-0.950337,0.0671258,-0.6575544,0.8206347,-0.291669,0.1918507,-0.4524171],[-0.4820083,-0.8633911,0.649598,0.213816,-0.9463438,0.1222926,-0.2091905],[-2.5215144,-0.0566273,-0.9459986,0.4613799,0.5029282,0.4828475,0.5486802],[-1.8374544,-1.1798932,-0.1125861,0.0473308,-0.9144347,0.2130673,-0.3408391],[0.324748,-1.145801,2.3830368,0.1243606,0.2747314,0.5144873,-0.8027203],[0.5255434,0.8488791,-0.5911755,0.6474667,0.4473405,-0.604859,-0.1217329],[1.6533867,-1.3786341,-1.5201479,0.6121782,-0.4944883,0.2694071,-0.5551028],[-1.0925889,2.2843625,0.5556522,0.6748615,-0.4885425,-0.3921782,-0.38998],[1.7565638,1.4062209,-1.4233367,0.4834832,0.3482605,0.7980639,-0.0897365],[1.7949812,1.3191343,0.2603738,0.6178524,-0.2055306,0.4682382,-0.597301],[-0.582911,1.957537,-0.8504033,0.4229599,-0.1541704,-0.8581423,-0.2468365]]},{"n":38,"s":"2.69655+","ref":null,"refsrc":null,"refcode":null,"cmp":null,"sf":2.6965591582712,"st":2.69655893276,"cf":null,"den":0.5517,"vlb":2.21169,"move":"hop","derived":null,"who":"Alejandro 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