tetra_int.m running
order=1, n=1, k=1 W,X,Y,Z 
{ 1.145833333333,  1.625000000000,  1.375000000000,  2.000000000000}, 
order=2, n=8, k=1 W,X,Y,Z 
{ 0.063039830710,  2.365201092036,  1.686329762319,  1.776658227419}, 
{ 0.110185904115,  2.118285578675,  1.821585737444,  1.782980873628}, 
{ 0.145454419375,  1.778043466854,  0.933724994977,  1.570078122842}, 
{ 0.254236512467,  1.302743303445,  1.194086064250,  1.582248904399}, 
{ 0.063039830710,  2.318479207594,  1.733051646761,  2.010267649628}, 
{ 0.110185904115,  2.007097029774,  1.932774286344,  2.338923618128}, 
{ 0.145454419375,  1.688106147778,  1.023662314053,  2.019764718221}, 
{ 0.254236512467,  1.088710840511,  1.408118527184,  2.652411219069}, 
order=3, n=27, k=1 W,X,Y,Z 
{ 0.003993930296,  2.638832404787,  1.944854230113,  1.838830188027}, 
{ 0.013112023478,  2.520979588443,  2.006924056234,  1.814481377294}, 
{ 0.011492807779,  2.420986931477,  2.059587429277,  1.793822538968}, 
{ 0.019501959782,  2.200532724622,  1.271149787599,  1.643240445270}, 
{ 0.064024691359,  1.939658074662,  1.408545266678,  1.589342815379}, 
{ 0.056118224020,  1.718318015137,  1.525118967965,  1.543613172387}, 
{ 0.020954154997,  1.865060924874,  0.755500673406,  1.493537294699}, 
{ 0.068792230184,  1.494718269122,  0.950549930274,  1.417023185736}, 
{ 0.060297015141,  1.180499676089,  1.116040192099,  1.352104507609}, 
{ 0.006390288474,  2.626702222974,  1.956984411926,  1.899481097093}, 
{ 0.020979237565,  2.487244747416,  2.040658897260,  1.983155582427}, 
{ 0.018388492446,  2.368921537608,  2.111652823146,  2.054149508313}, 
{ 0.031203135652,  2.173681801304,  1.298000710917,  1.777495061860}, 
{ 0.102439506174,  1.864983874101,  1.483219467239,  1.962713818181}, 
{ 0.089789158432,  1.603067978506,  1.640369004596,  2.119863355538}, 
{ 0.033526647996,  1.826942839224,  0.793618759056,  1.684127722946}, 
{ 0.110067568294,  1.388709342015,  1.056558857381,  1.947067821271}, 
{ 0.096475224226,  1.016888513994,  1.279651354194,  2.170160318084}, 
{ 0.003993930296,  2.614572041161,  1.969114593739,  1.960132006159}, 
{ 0.013112023478,  2.453509906390,  2.074393738287,  2.151829787561}, 
{ 0.011492807779,  2.316856143738,  2.163718217015,  2.314476477658}, 
{ 0.019501959782,  2.146830877986,  1.324851634235,  1.911749678450}, 
{ 0.064024691359,  1.790309673541,  1.557893667800,  2.336084820984}, 
{ 0.056118224020,  1.487817941876,  1.755619041226,  2.696113538690}, 
{ 0.020954154997,  1.788824753575,  0.831736844705,  1.874718151193}, 
{ 0.068792230184,  1.282700414908,  1.162567784488,  2.477112456806}, 
{ 0.060297015141,  0.853277351899,  1.443262516289,  2.988216128559}, 
order=4, n=64, k=1 W,X,Y,Z 
{ 0.000385979964,  2.766329132769,  2.106959231851,  1.888612354815}, 
{ 0.001607344168,  2.707890814591,  2.137158727697,  1.870176900045}, 
{ 0.002518627365,  2.643094781763,  2.170643735226,  1.849735785899}, 
{ 0.001677399774,  2.596678079406,  2.194630753567,  1.835092773514}, 
{ 0.002558992392,  2.447206655946,  1.570186527106,  1.736491118479}, 
{ 0.010656463746,  2.308959583432,  1.641629238365,  1.692878507237}, 
{ 0.016698142033,  2.155672115068,  1.720844458932,  1.644521123284}, 
{ 0.011120922474,  2.045864485132,  1.777590360720,  1.609880263346}, 
{ 0.005348814803,  2.128493452501,  1.034102231339,  1.584564977057}, 
{ 0.022274177604,  1.910539980079,  1.146735263741,  1.515807498951}, 
{ 0.034902514584,  1.668874566111,  1.271622048519,  1.439569647702}, 
{ 0.023244990853,  1.495757307224,  1.361084820610,  1.384956587376}, 
{ 0.004134438885,  1.910902542206,  0.668108389069,  1.480842423199}, 
{ 0.017217127421,  1.638532158514,  0.808862752424,  1.394918117955}, 
{ 0.026978371618,  1.336529621936,  0.964930288811,  1.299645798750}, 
{ 0.017967530677,  1.120189805447,  1.076729423231,  1.231397378432}, 
{ 0.000723620692,  2.762611761148,  2.110676603472,  1.907199212919}, 
{ 0.003013388273,  2.696815037459,  2.148234504828,  1.925555785703}, 
{ 0.004721827670,  2.623860051740,  2.189878465248,  1.945909436009}, 
{ 0.003144725883,  2.571598675392,  2.219710157581,  1.960489793585}, 
{ 0.004797502502,  2.438412498961,  1.578980684092,  1.780461903407}, 
{ 0.019978336646,  2.282757704049,  1.667831117748,  1.823887904152}, 
{ 0.031305047420,  2.110168664608,  1.766347909391,  1.872038375581}, 
{ 0.020849086365,  1.986534335096,  1.836920510756,  1.906531013527}, 
{ 0.010027756425,  2.114629021109,  1.047966662731,  1.653887134019}, 
{ 0.041758788777,  1.869231397614,  1.188043846206,  1.722350411276}, 
{ 0.065433919051,  1.597136084750,  1.343360529881,  1.798262054510}, 
{ 0.043578832870,  1.402220337619,  1.454621790215,  1.852641435401}, 
{ 0.007751090216,  1.893576548470,  0.685434382805,  1.567472391881}, 
{ 0.032278021666,  1.586909973601,  0.860484937337,  1.653029042519}, 
{ 0.050578034437,  1.246880039955,  1.054579870792,  1.747893708654}, 
{ 0.033684849412,  1.003299259875,  1.193619968803,  1.815850106291}, 
{ 0.000723620692,  2.757761629294,  2.115526735326,  1.931449872188}, 
{ 0.003013388273,  2.682364241319,  2.162685300968,  1.997809766403}, 
{ 0.004721827670,  2.598764100544,  2.214974416445,  2.071389191994}, 
{ 0.003144725883,  2.538877056816,  2.252431776157,  2.124097886463}, 
{ 0.004797502502,  2.426938579946,  1.590454603106,  1.837831498478}, 
{ 0.019978336646,  2.248571568580,  1.702017253218,  1.994818581501}, 
{ 0.031305047420,  2.050799369031,  1.825717204968,  2.168884853465}, 
{ 0.020849086365,  1.909125057810,  1.914329788043,  2.293577399960}, 
{ 0.010027756425,  2.096539809917,  1.066055873923,  1.744333189980}, 
{ 0.041758788777,  1.815335233313,  1.241940010507,  1.991831232781}, 
{ 0.065433919051,  1.503537400229,  1.436959214402,  2.266255477117}, 
{ 0.043578832870,  1.280180713376,  1.576661414458,  2.462839556616}, 
{ 0.007751090216,  1.870970965093,  0.708039966182,  1.680500308765}, 
{ 0.032278021666,  1.519557438278,  0.927837472660,  1.989791719137}, 
{ 0.050578034437,  1.129912370972,  1.171547539776,  2.332732053573}, 
{ 0.033684849412,  0.850789740704,  1.346129487974,  2.578397702145}, 
{ 0.000385979964,  2.754044257673,  2.119244106947,  1.950036730293}, 
{ 0.001607344168,  2.671288464188,  2.173761078100,  2.053188652060}, 
{ 0.002518627365,  2.579529370521,  2.234209146467,  2.167562842104}, 
{ 0.001677399774,  2.513797652802,  2.277511180171,  2.249494906535}, 
{ 0.002558992392,  2.418144422961,  1.599248760092,  1.881802283407}, 
{ 0.010656463746,  2.222369689197,  1.728219132600,  2.125827978415}, 
{ 0.016698142033,  2.005295918572,  1.871220655427,  2.396402105762}, 
{ 0.011120922474,  1.849794907773,  1.973659938079,  2.590228150140}, 
{ 0.005348814803,  2.082675378524,  1.079920305316,  1.813655346942}, 
{ 0.022274177604,  1.774026650848,  1.283248592972,  2.198374145107}, 
{ 0.034902514584,  1.431798918867,  1.508697695764,  2.624947883925}, 
{ 0.023244990853,  1.186643743771,  1.670198384063,  2.930524404641}, 
{ 0.004134438885,  1.853644971357,  0.725365959918,  1.767130277447}, 
{ 0.017217127421,  1.467935253365,  0.979459657573,  2.247902643701}, 
{ 0.026978371618,  1.040262788991,  1.261197121757,  2.780979963478}, 
{ 0.017967530677,  0.733899195133,  1.463020033546,  3.162850430004}, 
order=5, n=125, k=1 W,X,Y,Z 
{ 0.000052762569,  2.836033591844,  2.209790854044,  1.919910089504}, 
{ 0.000247627828,  2.804630995011,  2.225851987085,  1.908166971953}, 
{ 0.000490461993,  2.765379477320,  2.245927519405,  1.893488721337}, 
{ 0.000560109937,  2.728799926746,  2.264636450755,  1.879809662734}, 
{ 0.000324261688,  2.704683484110,  2.276971016450,  1.870791229568}, 
{ 0.000411134593,  2.597457381897,  1.787527544672,  1.803376785420}, 
{ 0.001929556653,  2.520363032595,  1.826958124487,  1.774547067572}, 
{ 0.003821760292,  2.423999339119,  1.876244179058,  1.738511507005}, 
{ 0.004364468498,  2.334195407798,  1.922175185853,  1.704928993825}, 
{ 0.002526700261,  2.274988793058,  1.952456927242,  1.682788460658}, 
{ 0.001144051934,  2.328358729310,  1.311241633288,  1.671934697723}, 
{ 0.005369319578,  2.199727015798,  1.377031449173,  1.623832391388}, 
{ 0.010634698040,  2.038944453595,  1.459265098062,  1.563707155945}, 
{ 0.012144875932,  1.889106836824,  1.535900858800,  1.507674823438}, 
{ 0.007030973233,  1.790320760098,  1.586425862490,  1.470733403671}, 
{ 0.001618586384,  2.090128927075,  0.889591441487,  1.555570597581}, 
{ 0.007596427490,  1.915871804570,  0.978716772195,  1.490406500339}, 
{ 0.015045800752,  1.698059992278,  1.090118530261,  1.408954965316}, 
{ 0.017182376287,  1.495075275457,  1.193936840556,  1.333048077635}, 
{ 0.009947308514,  1.361249976829,  1.262382961012,  1.283003610884}, 
{ 0.001048688235,  1.937219865616,  0.618953030645,  1.480881683040}, 
{ 0.004921754076,  1.733677832482,  0.723056385247,  1.404766384857}, 
{ 0.009748231161,  1.479261493699,  0.853179848814,  1.309626451395}, 
{ 0.011132526524,  1.242164028970,  0.974445422641,  1.220962975117}, 
{ 0.006444898775,  1.085848620016,  1.054394306896,  1.162508248199}, 
{ 0.000106588488,  2.834684426412,  2.211140019476,  1.926655916661}, 
{ 0.000500246218,  2.800461220644,  2.230021761452,  1.929015843789}, 
{ 0.000990808500,  2.757684097025,  2.253622899700,  1.931965622812}, 
{ 0.001131508037,  2.717818938966,  2.275617438535,  1.934714601636}, 
{ 0.000655058377,  2.691536336188,  2.290118164372,  1.936526969177}, 
{ 0.000830554978,  2.594145138913,  1.790839787656,  1.819938000340}, 
{ 0.003898000581,  2.510126107181,  1.837195049901,  1.825731694642}, 
{ 0.007720542340,  2.405106941792,  1.895136576386,  1.832973493643}, 
{ 0.008816896209,  2.307236742177,  1.949133851474,  1.839722321927}, 
{ 0.005104322317,  2.242712137098,  1.984733583202,  1.844171740458}, 
{ 0.002311160492,  2.322832260841,  1.316768101757,  1.699567040071}, 
{ 0.010846849611,  2.182646733403,  1.394111731567,  1.709233803359}, 
{ 0.021483722217,  2.007422539699,  1.490787011958,  1.721316725426}, 
{ 0.024534513334,  1.844126376075,  1.580881319549,  1.732577127184}, 
{ 0.014203645020,  1.736467246836,  1.640279375752,  1.740000969981}, 
{ 0.003269792911,  2.082642231401,  0.897078137161,  1.593004075952}, 
{ 0.015345949403,  1.892733180506,  1.001855396258,  1.606099620655}, 
{ 0.030394826695,  1.655357319186,  1.132821203353,  1.622468330776}, 
{ 0.034711037189,  1.434140336125,  1.254871779888,  1.637722774295}, 
{ 0.020095089876,  1.288294731178,  1.335338206663,  1.647779839140}, 
{ 0.002118511183,  1.928474987719,  0.627697908542,  1.524606072526}, 
{ 0.009942698606,  1.706650629702,  0.750083588027,  1.539902398756}, 
{ 0.019692923069,  1.429382391046,  0.903058951467,  1.559021964659}, 
{ 0.022489412158,  1.170988622982,  1.045620828629,  1.576840005056}, 
{ 0.013019684665,  1.000632826170,  1.139610100742,  1.588587217430}, 
{ 0.000126689039,  2.832708730564,  2.213115715324,  1.936534395903}, 
{ 0.000594583093,  2.794355071083,  2.236127911012,  1.959546591592}, 
{ 0.001177656044,  2.746415107658,  2.264891889068,  1.988310569647}, 
{ 0.001344888824,  2.701738559596,  2.291697817905,  2.015116498484}, 
{ 0.000778589866,  2.672283867245,  2.309370633316,  2.032789313895}, 
{ 0.000987181771,  2.589294744321,  1.795690182248,  1.844189973301}, 
{ 0.004633088981,  2.495135320603,  1.852185836479,  1.900685627532}, 
{ 0.009176489049,  2.377441223342,  1.922802294835,  1.971302085889}, 
{ 0.010479594302,  2.267758912027,  1.988611681624,  2.037111472678}, 
{ 0.006066899938,  2.195446728648,  2.031998991651,  2.080498782705}, 
{ 0.002747001183,  2.314739390569,  1.324860972029,  1.740031391431}, 
{ 0.012892358113,  2.157634646501,  1.419123818470,  1.834294237872}, 
{ 0.025535141571,  1.961262363215,  1.536947188441,  1.952117607843}, 
{ 0.029161253577,  1.778257723133,  1.646749972491,  2.061920391892}, 
{ 0.016882180972,  1.657605040543,  1.719141582045,  2.134312001447}, 
{ 0.003886413353,  2.071678836388,  0.908041532174,  1.647821051016}, 
{ 0.018239902127,  1.858849356895,  1.035739219869,  1.775518738712}, 
{ 0.036126710020,  1.592824221331,  1.195354301208,  1.935133820050}, 
{ 0.041256875310,  1.344908205016,  1.344103910997,  2.083883429839}, 
{ 0.023884639714,  1.181460259587,  1.442172678254,  2.181952197097}, 
{ 0.002518021897,  1.915669131184,  0.640503765077,  1.588635355199}, 
{ 0.011817701511,  1.667072434854,  0.789661782875,  1.737793372998}, 
{ 0.023406631935,  1.356340246814,  0.976101095699,  1.924232685822}, 
{ 0.026730485412,  1.066760519558,  1.149848932052,  2.097980522175}, 
{ 0.015474948324,  0.875844207811,  1.264398719101,  2.212530309223}, 
{ 0.000106588488,  2.830733034715,  2.215091411173,  1.946412875146}, 
{ 0.000500246218,  2.788248921523,  2.242234060573,  1.990077339395}, 
{ 0.000990808500,  2.735146118291,  2.276160878435,  2.044655516482}, 
{ 0.001131508037,  2.685658180227,  2.307778197274,  2.095518395332}, 
{ 0.000655058377,  2.653031398301,  2.328623102259,  2.129051658613}, 
{ 0.000830554978,  2.584444349729,  1.800540576840,  1.868441946263}, 
{ 0.003898000581,  2.480144534025,  1.867176623057,  1.975639560423}, 
{ 0.007720542340,  2.349775504893,  1.950468013284,  2.109630678134}, 
{ 0.008816896209,  2.228281081877,  2.028089511774,  2.234500623428}, 
{ 0.005104322317,  2.148181320199,  2.079264400101,  2.316825824952}, 
{ 0.002311160492,  2.306646520297,  1.332953842301,  1.780495742791}, 
{ 0.010846849611,  2.132622559598,  1.444135905372,  1.959354672384}, 
{ 0.021483722217,  1.915102186732,  1.583107364925,  2.182918490260}, 
{ 0.024534513334,  1.712389070191,  1.712618625432,  2.391263656601}, 
{ 0.014203645020,  1.578742834249,  1.798003788338,  2.528623032912}, 
{ 0.003269792911,  2.060715441375,  0.919004927187,  1.702638026080}, 
{ 0.015345949403,  1.824965533284,  1.069623043481,  1.944937856768}, 
{ 0.030394826695,  1.530291123476,  1.257887399063,  2.247799309325}, 
{ 0.034711037189,  1.255676073907,  1.433336042106,  2.530044085383}, 
{ 0.020095089876,  1.074625787995,  1.549007149846,  2.716124555054}, 
{ 0.002118511183,  1.902863274650,  0.653309621612,  1.652664637873}, 
{ 0.009942698606,  1.627494240005,  0.829239977724,  1.935684347239}, 
{ 0.019692923069,  1.283298102581,  1.049143239932,  2.289443406985}, 
{ 0.022489412158,  0.962532416135,  1.254077035476,  2.619121039294}, 
{ 0.013019684665,  0.751055589453,  1.389187337459,  2.836473401016}, 
{ 0.000052762569,  2.829383869284,  2.216440576604,  1.953158702303}, 
{ 0.000247627828,  2.784079147155,  2.246403834940,  2.010926211231}, 
{ 0.000490461993,  2.727450737996,  2.283856258730,  2.083132417957}, 
{ 0.000560109937,  2.674677192446,  2.318759185055,  2.150423334234}, 
{ 0.000324261688,  2.639884250379,  2.341770250181,  2.194787398222}, 
{ 0.000411134593,  2.581132106745,  1.803852819824,  1.885003161183}, 
{ 0.001929556653,  2.469907608611,  1.877413548471,  2.026824187492}, 
{ 0.003821760292,  2.330883107566,  1.969360410611,  2.204092664772}, 
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