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5,3
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% srun --partition=production --time=01:00:00 --nodes=20 -n 60 --pty bash -i
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System: VectorPolynomial{Float64, MultivariatePolynomials.Term{Float64, Monomial{(x₁, x₂, x₃, x₄, x₅), 5}}}[0.19075232500082348x₅³ - 0.4974159801948x₄x₅² + 0.07361965995386335x₄²x₅ - 0.2559726504104996x₄³ + 1.54371565856448x₃x₅² + 0.3893012879784389x₃x₄x₅ + 1.2874112919663292x₃x₄² - 1.6265997624627566x₃²x₅ - 0.11882657800907753x₃²x₄ - 0.5908608708532598x₃³ + 0.18573104623187517x₂x₅² + 0.013951275418382371x₂x₄x₅ + 0.4806758452310194x₂x₄² + 1.2559553307460123x₂x₃x₅ + 0.5955846372487599x₂x₃x₄ - 1.5371621390722432x₂x₃² - 1.5752024080431941x₂²x₅ - 0.2194937526547724x₂²x₄ + 1.8135222694964668x₂²x₃ - 0.2268186260267002x₂³ - 1.1550121534575442x₁x₅² + 1.4203161232948731x₁x₄x₅ - 1.3946927876533224x₁x₄² + 1.177200401234405x₁x₃x₅ + 1.3091816852803526x₁x₃x₄ - 0.7720413228901115x₁x₃² + 0.12000788803567339x₁x₂x₅ + 0.1858679312680557x₁x₂x₄ - 0.5329303866043938x₁x₂x₃ - 0.884385821627154x₁x₂² - 0.5244014742541113x₁²x₅ + 0.01675672028360395x₁²x₄ + 1.2348572464092498x₁²x₃ + 1.0655433803932963x₁²x₂ - 1.137542429050206x₁³, 1.1286230170289187x₅³ - 0.41601566710277244x₄x₅² - 0.5996213607960728x₄²x₅ - 1.6575108056912524x₄³ - 0.7271956268741141x₃x₅² - 1.8335891350993339x₃x₄x₅ - 0.7042374422817509x₃x₄² + 0.07533669943488226x₃²x₅ - 1.264597571341279x₃²x₄ + 0.24367414640517412x₃³ - 0.6285013216805069x₂x₅² + 0.541057960343679x₂x₄x₅ + 0.3295442368465025x₂x₄² - 0.8353678669033393x₂x₃x₅ + 0.5794559255151268x₂x₃x₄ - 0.10332650859908299x₂x₃² - 0.4646966205490663x₂²x₅ + 0.11135868853395749x₂²x₄ - 0.6476834138696563x₂²x₃ + 2.1972297152209093x₂³ + 0.44150260123075846x₁x₅² - 0.13922614062757963x₁x₄x₅ - 0.30894140826761435x₁x₄² - 0.7404858149406455x₁x₃x₅ - 2.305977314419686x₁x₃x₄ - 0.20795401158641297x₁x₃² + 0.6853061021688356x₁x₂x₅ + 0.6940786249511974x₁x₂x₄ + 0.7510469680718163x₁x₂x₃ - 0.3628312361086349x₁x₂² - 0.41628192879712705x₁²x₅ - 0.1105864686789991x₁²x₄ - 1.4064750154330752x₁²x₃ + 1.3608230264891144x₁²x₂ + 0.13534182660180852x₁³, -0.855623018486256x₅² - 0.2723029258757358x₄x₅ - 0.31894061663754597x₄² + 1.2487017136339256x₃x₅ + 0.9490790815816522x₃x₄ + 0.8766062613746435x₃² - 1.186501889241817x₂x₅ - 0.6082280543063152x₂x₄ + 0.924177109629378x₂x₃ + 0.011303484257266672x₂² + 0.29912321783676493x₁x₅ + 0.04442617112107743x₁x₄ + 1.6430592156378077x₁x₃ + 0.9413296579668614x₁x₂ + 1.768428992715232x₁², 0.6288974957749344x₅ + 0.38688391514660747x₄ + 0.09753185132242072x₃ - 0.9507743406886202x₂ + 0.9628814600046212x₁, -0.06920898320909799x₅³ - 1.1265932124188418x₄x₅² + 0.6038646774916528x₄²x₅ + 0.9893030584981444x₄³ - 0.08303684939311239x₃x₅² - 0.3743236740085901x₃x₄x₅ + 0.40189080046560915x₃x₄² - 0.4945365037083843x₃²x₅ - 0.5076400441647159x₃²x₄ - 0.056410447589804576x₃³ - 0.11481154508956744x₂x₅² + 2.810059167697993x₂x₄x₅ + 1.0251198319969774x₂x₄² + 0.9724811656296573x₂x₃x₅ + 0.7497543692267825x₂x₃x₄ + 0.4078479275863148x₂x₃² - 0.12790623035918763x₂²x₅ + 0.506593979694929x₂²x₄ - 0.6822861877488055x₂²x₃ - 1.0198264445512535x₂³ - 0.5900611687940915x₁x₅² + 0.8309186857663206x₁x₄x₅ + 0.7619033290779376x₁x₄² + 0.9535743153819469x₁x₃x₅ - 0.5389537638400016x₁x₃x₄ + 0.6416249707778519x₁x₃² + 2.7359204871160707x₁x₂x₅ - 1.0085521724407018x₁x₂x₄ - 0.44041534795359505x₁x₂x₃ + 0.5319928278822568x₁x₂² - 1.2217775550534373x₁²x₅ - 0.30532206683182495x₁²x₄ + 0.5598458111411093x₁²x₃ - 0.16090222666863374x₁²x₂ + 1.0413710731977408x₁³]
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Number of roots: 54
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PARALLEL
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290.947457 seconds (1.68 M allocations: 113.970 MiB, 0.13% gc time, 3.09% compilation time)
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Number of steps: [65, 45, 66, 36, 41, 56, 37, 39, 48, 60, 44, 35, 52, 41, 28, 48, 47, 69, 37, 41, 38, 27, 41, 45, 43, 45, 27, 28, 51, 45, 50, 50, 52, 45, 45, 47, 38, 51, 38, 38, 24, 66, 46, 46, 47, 26, 35, 24, 1000, 27, 33, 27, 47, 31]
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Solutions: [[0.0006748231862093961, 0.00034001205255267114, -0.0003453044330054845, -0.0006668985925531134, -5.535000665480223e-5], [-0.0003964782753217528, 0.0002915240736186161, 0.0011300060372888936, -0.00017055910471538174, 0.0009774409772586147], [-0.00048347846942462447, -9.358593999088646e-6, -0.0013075409669731637, 0.0009227845120443281, 0.0003611891466256523], [0.11044797954864613, 0.06425322758087906, 0.015679267675543257, -0.39841468793871637, 0.23378914291641167], [-0.07514984583411366, -0.2852089269323639, 0.026231158437184838, -0.6161443911458129, 0.08073157837514239], [-0.058509948762144784, -0.007993259020879924, -0.022581618839552828, 0.061970306203469216, 0.04881215918944172], [-0.1085884494907696, -0.2236193203210394, -0.01658254365296049, 0.055090626778382966, -0.1950383234885627], [0.10843638533183858, 0.33492181086999084, 0.23381844382119382, -0.021937341059390936, 0.34113821202804623], [-0.0004842204588794848, 0.000647544642641018, 0.001527316327130427, 0.00010433143157099045, 0.0014192926469279515], [0.08502735150273151, 0.018208247961612144, 0.046163036579681536, 0.07485413665201496, -0.14665901343152205], [-0.1391468582206676, -0.029603750215362212, -0.06255052620122316, -0.11153858092887067, 0.2580327300059754], [0.10281430840038353, 0.03725058689014611, 0.013377577268686231, 0.1268086852522734, -0.16667271033139458], [0.1041986216827234, -0.05774969910266588, 0.4578583423461782, -0.1557906326893674, -0.17435844808021173], [0.00023636186970768, 0.00013627714228224195, 8.972279438480227e-5, 0.001056112334796908, -0.0008194711550201937], [-0.00048347846942462566, -9.358593999088846e-6, -0.0013075409669731641, 0.0009227845120443291, 0.0003611891466256535], [-0.10185551995667952, 0.013429511492588232, -0.2334442468640892, 0.1025950797400507, 0.1586545835302081], [-0.00039583051969572966, 0.000500424474038415, 0.0012338259638406666, 5.381847529102799e-5, 0.0011381342587709516], [-0.22391339074063726, 0.08268147461771685, 0.1925671989068507, 0.8903468255106632, -0.11414127127782117], [0.11044797954864731, 0.06425322758087876, 0.015679267675541314, -0.3984146879387191, 0.23378914291641156], [-0.07514984583410284, -0.2852089269323467, 0.026231158437188425, -0.6161443911457545, 0.08073157837511405], [0.0005258259079927903, 0.0002202156218681247, 0.00023342821733880756, 0.0007824462733658228, -0.0009896926340240237], [-0.08029901206196272, -0.1553548795696241, 1.512283715401749, 1.2036985599691827, -1.0785654750702318], [0.0006758328052982075, 0.0001514934865409132, -0.0004265468232824438, -0.000642035468893308, -0.00034459615873292846], [0.0005458212709656203, 0.000534347318679242, 0.00025000237571171785, -0.0008900744753506944, 0.0004809286769574244], [0.0005258259079930293, 0.0002202156218679778, 0.00023342821733901133, 0.0007824462733653223, -0.0009896926340243358], [0.1474972827623754, 0.01979463075386441, 0.09633964716593439, 0.0816914598393429, -0.232947537061654], [-0.00024042260884225223, -0.0006597983656830419, -0.0008501086032474976, 0.0007808453073360516, -0.000977909295802821], [0.09984461594028027, 4.7570951280835605e-6, 0.24226242706975046, -0.17800944112906364, -0.07496844045574717], [0.10477139224132023, 0.011615549720140556, 0.061154905893415476, 0.03946088018124368, -0.16702607695742716], [-0.2239133907396798, 0.08268147461541503, 0.19256719890477308, 0.8903468255047329, -0.11414127127866652], [0.10477139224134491, 0.011615549720133256, 0.061154905893430055, 0.03946088018119981, -0.16702607695745106], [0.27475639371498595, 0.09494382506740778, -0.20332875722068972, -0.2137149086539583, -0.08503149184223127], [0.045936772848585036, 0.0032003200039660705, 0.11452952242054162, -0.08372544035175145, -0.03030494026591531], [-0.16729569449955287, 0.00972711366011518, 0.07454676039891933, 0.17184301709904393, 0.15550358047666057], [-0.07468444889719754, -0.07971480661565927, -0.03586432287668981, 0.13243739851451142, -0.07738469254775046], [0.0002429542071045407, -0.00010725737497563472, 0.0010780353859444467, -0.00046487364644343695, -0.0004153368616981808], [0.10700037839801987, 0.01481223
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Norms (lower = better): [8.527455753120789e-7, 8.520057033208437e-7, 6.947190289772209e-7, 0.1180167743660662, 0.44536679531334855, 0.004428087623340551, 0.037380123738472645, 0.10682130835757324, 1.619295892177591e-6, 0.00847025733647836, 0.03355691609237355, 0.016952850231033673, 0.0823143221233559, 5.15892172870178e-7, 6.947190289772217e-7, 0.020141796421055923, 1.058838096232771e-6, 1.3167884419199598, 0.11801677436606797, 0.4453667953132441, 2.5900869017033878e-8, 8.553409713982079, 7.127852864878766e-7, 8.533207143045257e-7, 2.590086901697936e-8, 0.026738567358038614, 9.572611271824243e-7, 0.034879231852571996, 0.008663206577939201, 1.3167884418913411, 0.008663206577939776, 0.15522425860359798, 0.007460511798932667, 0.02511232928095192, 0.016259357352191056, 1.1183449226873033e-9, 0.027067780217786174, 0.06974579378408363, 0.1957239709475233, 0.07369829767643732, 5.158921728701785e-7, 0.10030379127409621]
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SINGLE
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251.746024 seconds (344.19 M allocations: 12.728 GiB, 3.10% gc time, 18.42% compilation time)
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Number of steps: [40, 33, 24, 26, 71, 44, 51, 47, 66, 51, 40, 24, 47, 34, 34, 40, 45, 24, 33, 28, 44, 54, 33, 26, 26, 34, 28, 34, 38, 24, 41, 65, 41, 36, 34, 24, 29, 24, 26, 43, 55, 44, 40, 47, 66, 27, 53, 48, 47, 32, 45, 28, 38, 26]
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Solutions: [[0.02892603375263036, -0.11275874526352178, -0.18404852837228575, 0.006898546038968065, -0.1913563468431167], [0.041743036163782644, -0.37531685330003184, -0.38149103660105366, -0.06486020917699671, -0.5311280447802754], [-0.0032453943178350902, 0.0721578303563574, 0.5393364078691635, -0.4433310535738605, 0.2894666072402428], [-0.09826497821168917, -0.1441732061699974, 0.08958352844383549, -0.04603792230712127, -0.04807996687940565], [-0.4339885364458851, -0.16417546914833933, 0.6607191812276787, 0.4936726555704205, 0.007078613876937199], [0.0001555383734169645, 0.00010469029348669099, 0.0003244930534644859, -0.0014164673368828539, 0.0007411889100214853], [-0.09963298883791022, -0.22663772573833324, 0.4346980893165886, -0.03544042779951892, -0.1986741669420314], [0.02393883556946106, 0.1089543202144812, 0.02876417166136508, 0.05597121943015922, 0.090520691679277], [-0.0728810476756954, -0.07364879398259158, -0.10495601041978911, 0.34787905239126726, -0.2003555238492289], [0.07696355496397249, -0.026924106442342, 0.3412107237889216, -0.13632444018543743, -0.1331834661885276], [-5.763979269342194e-5, -0.0006140863810937151, -0.0002153359496932969, -0.00036503520089071, -0.0005821758351881297], [6.2064294973353284, 7.9677543153844015, -1.577829984925067, -1.2022279410155714, 3.456145186190737], [-0.07288104767570194, -0.07364879398268664, -0.10495601041981337, 0.3478790523912145, -0.20035552384932562], [-0.00057972558414584, -0.0005899791870213754, 0.0009109757300126811, -0.001277526123757252, 0.0006402873377818822], [0.2201185989107593, 0.018985387124938215, 0.15465840872637873, -0.28649841640491397, -0.16397215145373228], [0.015342505300861158, -0.02185688055790782, 0.06391836382933867, -0.30068937470898893, 0.11018241230427725], [0.27900931100037074, 0.14696125787890763, -0.6449938745640613, -0.3231288198341954, 0.0828529392924977], [-0.0327342850571663, 0.026124251437684497, -0.33147092658102373, 0.10337165806813667, 0.06856624992723537], [-0.1251046736801703, 0.014572628327280221, -0.2920437392855458, 0.21092537862244837, 0.1213627583867524], [-0.013162647916880023, -0.0655837525005943, 0.04699240306991674, -0.2544044531684634, 0.06490875311771974], [0.02779140605171651, 0.21558454218569162, 0.006189663285588731, -0.07345918764165199, 0.31138059931916096], [-0.03826888494249406, 0.07650474348045536, 0.22063193911155018, -0.0808401375493803, 0.18424978976936465], [-0.17046016790459395, 0.07018854780315606, 0.42623949563171337, -0.09382357363217221, 0.3515747395742571], [-0.03826888494249407, 0.07650474348045422, 0.22063193911154955, -0.08084013754938067, 0.18424978976936335], [0.02463979749167666, 0.053290622363877285, -0.00603510114875901, 0.06263251162202084, 0.0054661314011700286], [0.05562200970221317, -0.03397081216633598, -0.02507140643402221, -0.04617032489945626, -0.10167459518844295], [0.27900931100060444, 0.1469612578790469, -0.6449938745643875, -0.3231288198346256, 0.08285293929266214], [0.09185646540411907, -0.48139385652872896, -1.0105259572714902, 0.7005266800770122, -1.1430321069981935], [-0.00023129315879421978, 0.0008251166385095909, 0.001524476556017991, -0.0002589384731555771, 0.001524416519878339], [0.18391029729535122, 0.07308163753502708, -0.35499951037227645, -0.23056318439441004, 0.023354284548687432], [0.0006098218514023219, 0.00012473707636003636, 0.0003652752729773902, 0.0003842651485825214, -0.0010381363039690507], [-0.00046766521640965677, -0.0003509066801770124, 0.00010464215187082427, -0.000842490599057124, 0.0006875734446797004], [-0.9781482516903857, -1.2488696606542304, 1.2662492459031953, 0.11619541777641593, -0.577838506361567], [0.001014098761746785, 0.00013435984805111587, 0.0008595482735218062, -0.0013923670300916746, -0.000626270464574174], [0.00022571145987552397, 0.0007169267246575849, 0.00011204640653867586, 0.00020656924594000857, 0.0005938260914706401], [-5.763979269351519e-5, -0.0006140863810938477, -0.000215335949693282, -0.0003650352008905914, -0.0005821758351882627], [-0.1679368274246235, -0.13625690776852056, 0.33519100949071867, -0.29298112055186787, 0.1745
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Norms (lower = better): [0.02443317078339273, 0.09976052017157083, 0.3866552247178761, 0.0210898535494725, 0.7650385634830098, 6.723181440730358e-7, 0.28672558461057746, 0.011217152185472012, 0.07875935769206688, 0.03371662478130011, 4.820637415571389e-7, 1949.3718116327868, 0.07875935769204576, 8.298595049362028e-7, 0.06657580312189929, 0.05983742682288328, 0.39268481949095346, 0.03887585308594814, 0.04467108485776716, 0.04406399553693876, 0.14217291597670453, 0.03752707688963525, 0.13647936185995047, 0.037527076889635, 0.0022858261765379764, 0.010838285950245614, 0.39268481949173467, 2.6014839760281165, 1.7028274713937001e-6, 0.12667248956493696, 1.9988691342114373e-9, 2.327812428140143e-9, 16.678343320492584, 1.0952304870106348e-6, 4.216959411547965e-7, 4.820637415572706e-7, 0.12442963659596527, 0.016499723526424533, 0.002285826176536447, 13.772836725669]
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5,3
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% srun --partition=production --time=01:00:00 --nodes=20 -n 40 --pty bash -i
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System: VectorPolynomial{Float64, MultivariatePolynomials.Term{Float64, Monomial{(x₁, x₂, x₃, x₄, x₅), 5}}}[-0.14297320572608238x₅ + 0.8117680210400294x₄ + 0.2676401856574152x₃ - 0.7917733592954217x₂ + 2.176708681174349x₁, -0.0052655936600910025x₅² + 1.380557919378905x₄x₅ + 0.556406486766068x₄² + 1.0743038664950924x₃x₅ - 1.7418988386438679x₃x₄ - 0.9671326884840001x₃² - 0.5250429908679921x₂x₅ + 0.3998237985453623x₂x₄ + 1.7037588035666815x₂x₃ - 0.16584972309148985x₂² + 1.23565930166199x₁x₅ + 1.4764914176216295x₁x₄ + 0.03747277466991794x₁x₃ - 0.1267618978172926x₁x₂ + 0.790865062186248x₁², -1.2545813028179056x₅² + 0.2112047026020472x₄x₅ + 1.2677410415725732x₄² + 0.15055163535060448x₃x₅ + 1.7650745844874365x₃x₄ - 0.5955350458915474x₃² + 0.8042066053181438x₂x₅ - 0.659897956118585x₂x₄ + 0.31110692011645136x₂x₃ - 1.1410761656115176x₂² + 2.039907881934597x₁x₅ - 0.12618130201517386x₁x₄ + 0.8003830446544521x₁x₃ - 0.8147160731925605x₁x₂ + 0.47421388255853236x₁², -1.0886834422136513x₅³ - 0.3368002375236321x₄x₅² - 1.6960888839703832x₄²x₅ + 0.9585848008883258x₄³ + 0.19348619679210538x₃x₅² + 1.0590703664618215x₃x₄x₅ - 0.49031678177772114x₃x₄² - 0.5069431945813079x₃²x₅ + 0.32752751850191963x₃²x₄ - 0.5884373313167545x₃³ + 0.6032600958574349x₂x₅² - 0.25038631334738864x₂x₄x₅ - 1.7674172800479069x₂x₄² + 0.9726882101651672x₂x₃x₅ - 2.295105375848589x₂x₃x₄ - 0.023250522981726376x₂x₃² - 1.1020449347089782x₂²x₅ + 1.990914524621658x₂²x₄ + 0.23691175982686616x₂²x₃ + 0.44960426929939185x₂³ - 1.2265338987425385x₁x₅² - 0.9048732379506904x₁x₄x₅ + 1.0070582288933887x₁x₄² - 0.532409018684186x₁x₃x₅ + 1.483160471756708x₁x₃x₄ + 0.2346049257046797x₁x₃² - 0.06973912654468571x₁x₂x₅ + 0.28801459425257575x₁x₂x₄ - 0.2844897866473538x₁x₂x₃ + 1.3422758116819853x₁x₂² + 1.279965217993487x₁²x₅ + 0.671033486105336x₁²x₄ - 0.4904997033310977x₁²x₃ + 0.581361457786132x₁²x₂ - 0.8100913314442054x₁³, 1.7435773784213238x₅² - 0.9835823257127738x₄x₅ + 1.3943339119054636x₄² + 0.3078490351622673x₃x₅ - 1.4973067692006947x₃x₄ + 0.013669171609413997x₃² - 0.7870766097961831x₂x₅ + 0.8895373414303188x₂x₄ + 1.973693397907055x₂x₃ + 1.4438425805291073x₂² + 0.8961940505580664x₁x₅ + 0.005369989891510411x₁x₄ - 0.23828473551959145x₁x₃ + 1.0082715254498116x₁x₂ + 0.7539278848760467x₁²]
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Number of roots: 24
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PARALLEL
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171.741583 seconds (1.66 M allocations: 111.503 MiB, 0.19% gc time, 5.07% compilation time)
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Number of steps: [33, 33, 47, 41, 41, 42, 24, 44, 28, 42, 36, 37, 30, 26, 26, 33, 32, 44, 26, 33, 52, 40, 27, 56]
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Solutions: [[0.04226012791798438, 0.14355718865662379, -0.01524599127208752, 0.051006682683508026, -0.0213031623614115], [-0.04703234088179576, -0.18115160167364852, -0.32426573249689356, 0.11912695688725086, 0.258486107565459], [0.019622723948247066, 0.01850348433506897, 0.238784098628276, -0.10289286279956333, 0.03505270762801625], [0.005546549745865888, 0.10156875496138927, -0.5017689521982645, 0.21975290059897004, -0.3601070240569577], [0.06786585689489837, 0.23750560502626966, -0.0969389316440312, 0.1249788834470536, 0.09252285537191726], [0.013376978494286488, 0.03613059319193769, 0.16328962003410918, -0.06449253183561196, -0.149309987806934], [0.0001014569329911431, -2.068009698838684e-5, 0.001905255098449221, -0.0007925308174979845, 0.0007259247708893296], [0.08157492154187879, 0.24211294968271713, -0.0037604207806961887, 0.08119527840756317, 0.1615495210748984], [0.03860555187533699, 0.14568328695785968, 0.017036134924820555, 0.043568021129206845, 0.013432740887035834], [0.07346362806635418, 0.21367009174711654, 0.2474790248102821, -0.031941904381724104, 0.13200022616762677], [0.014091464118188768, -0.30758284655730844, 0.052818227667085355, -0.3390586033026779, -0.07397225874142772], [-0.0470323408818149, -0.18115160167369632, -0.3242657324971052, 0.11912695688733044, 0.25848610756548585], [-0.004103489753099505, -0.04595004131345193, 0.02536176403308968, 0.014636230512926424, 0.22552171835880558], [-0.021171706683933575, 0.093144382705315, 0.23082799951367614, 0.12566122251258002, 0.2055647587662845], [-0.0002752783792248675, 0.00029490940250498, 0.0010598719119503017, 0.000931830324652673, 0.001450566396093464], [0.0322050892324775, 0.205275891293078, 0.06419901473708128, 0.1226411104472161, 0.07429220554823128], [0.04221031447749515, 0.1601648945985631, -0.05434433147191514, 0.09136989173044625, 0.0818654586498881], [-0.09195251281499395, -0.2986333937983979, 0.31843878402416037, -0.20818647973827725, -0.4614591509252038], [0.029212098592821784, 0.19871031549708215, 0.08044276858188959, 0.03813523224988059, -0.10847461935112993], [-0.07191569591875002, -0.10202776080229463, -0.16451969642493092, 0.17969284264281865, -0.009233504112431234]]
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Norms (lower = better): [0.06371124811509199, 0.41313851510600325, 0.08970971004513888, 0.8206694927587282, 0.14988839057312006, 0.08785759798616516, 6.661824592067595e-6, 0.16400084145823618, 0.05516019086887706, 0.23888663352190578, 0.3656711721347992, 0.41313851510627714, 0.12256496296258389, 0.092904384735299, 3.0780150802241657e-6, 0.12537287466978406, 0.06989319012761484, 0.5893347159341875, 0.16209170835733525, 0.1442300671523037]
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SINGLE
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109.203866 seconds (102.91 M allocations: 3.988 GiB, 2.86% gc time, 42.58% compilation time)
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Number of steps: [69, 42, 26, 44, 40, 41, 27, 49, 44, 50, 24, 32, 28, 69, 24, 43, 36, 44, 26, 35, 34, 37, 33, 34]
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Solutions: [[-0.03948557087281588, -0.10382215403280787, -0.3361307461075017, 0.1148181230096892, -0.039429343641396664], [-0.00026714606004338694, -0.0011917923701469546, 0.0002298389206903091, -0.0004912075593727274, 0.00017414342318430208], [0.005562235451349378, -0.011708831206289162, -0.0746279684648178, 0.002325902420671766, -0.035876861903921003], [-0.00017028771137361635, -0.0007253694804177307, -0.0007006322598180545, 0.00020984715296113902, 0.001304379723697555], [0.036423613616719225, 0.13252349717709194, -0.04759801975518466, 0.06742619563108192, 0.08356029721958905], [-0.030631205122588018, -0.14239820517883944, 0.06293943563071523, -0.09347276298411138, -0.14004882568361274], [-0.01881730944329183, -0.23687286979997357, -0.045619240796840335, -0.16522022170706568, -0.14028322827190745], [-0.00026714605935707254, -0.0011917923670609737, 0.0002298389200937359, -0.0004912075581140064, 0.00017414342257287093], [0.03642361361671903, 0.13252349717709375, -0.04759801975518829, 0.06742619563108272, 0.08356029721957337], [-0.07161246955444317, -0.32375711776973604, 0.016065535238963143, -0.12660159768678989, -0.1167717485436782], [0.00807389379096883, 0.02373014532522877, 0.16108000066179234, -0.06722924367929196, -0.1495265273229346], [-0.05833351705197312, -0.06827350579454594, 0.0775035910883424, 0.10540626856885614, 0.18452136434019123], [-0.03948557087281578, -0.10382215403280784, -0.336130746107502, 0.11481812300968898, -0.039429343641397385], [-0.026510122263081668, -0.03875153034242351, 0.05506513485625128, 0.09163175020441185, 0.3673817439246219], [-0.00020703993117608753, -0.0005796231480115746, -0.00184391527334785, 0.0007001940080252666, 0.0005816042887663631], [0.057555645790572534, 0.2061945919509348, 0.06118468426343064, 0.044773475580243575, 0.009790348446620876], [-0.00029924250870828385, -0.0011942275143509223, 0.0005612809859856741, -0.0006934094200308136, -0.0008286341517862532], [0.04226311056493239, 0.23999609110612746, 0.08214608141386502, 0.118448698115728, 0.0752386650997296], [0.2074804499866132, 1.1744709331130685, -0.3816504357246738, 0.8398735027835315, 0.6198047630855061], [0.0422631105649331, 0.23999609110611742, 0.08214608141386888, 0.1184486981157145, 0.0752386650997269]]
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Norms (lower = better): [0.19375359810789303, 4.134573633196706e-6, 0.01107343336113215, 6.561032404527108e-6, 0.04676010901918131, 0.07005017070592473, 0.17093243621823745, 4.134573611390688e-6, 0.046760109019180325, 0.2501566053568369, 0.0823240103273833, 0.06862778989974985, 0.19375359810789317, 0.28433763184017896, 6.534197791664382e-6, 0.11859335549161794, 4.047998038355746e-6, 0.16468412988479808, 4.09047109397314, 0.16468412988478454]
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5,3
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% srun --partition=production --time=01:00:00 --nodes=20 --pty bash -i
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System: VectorPolynomial{Float64, MultivariatePolynomials.Term{Float64, Monomial{(x₁, x₂, x₃, x₄, x₅), 5}}}[-0.27424207491303065x₅ + 1.3569203904341798x₄ + 1.3148053508580575x₃ + 1.5098413022999708x₂ - 2.2484642901828864x₁, -0.5543306178018574x₅² + 0.1744361454085491x₄x₅ - 0.6676396084498089x₄² - 0.14846459810587911x₃x₅ - 0.787293485837682x₃x₄ - 0.5573694024738161x₃² + 0.9345544553547326x₂x₅ + 0.5545214713453059x₂x₄ - 0.24320184301832082x₂x₃ - 0.5897778262970005x₂² + 1.3634114472491519x₁x₅ - 1.84878344090574x₁x₄ + 1.1686093949487595x₁x₃ - 0.8074473939203239x₁x₂ + 0.2921471839242216x₁², 0.9037503777317958x₅ + 0.8130155193758498x₄ + 0.21620339046978385x₃ - 0.04030880994185178x₂ + 0.8243079318935342x₁, 0.5994017554436569x₅³ + 0.7429967138109612x₄x₅² - 1.1960342169411475x₄²x₅ + 1.47616880634423x₄³ + 0.735240510481882x₃x₅² + 0.02855870264204292x₃x₄x₅ + 0.5063344379880197x₃x₄² + 1.6731603489132807x₃²x₅ - 1.6640972774901874x₃²x₄ + 0.60181528501868x₃³ + 0.47488000681494186x₂x₅² - 0.13792991743057265x₂x₄x₅ - 0.721639685373998x₂x₄² - 1.3074961213205245x₂x₃x₅ + 0.1365797014789771x₂x₃x₄ + 0.35040331915648376x₂x₃² - 0.49636813160859894x₂²x₅ - 0.23085003510763596x₂²x₄ + 1.0592172761483372x₂²x₃ + 0.3048461453277141x₂³ - 0.8377246134135579x₁x₅² - 0.7949896028652351x₁x₄x₅ + 1.198253006904858x₁x₄² - 0.38978766350293015x₁x₃x₅ + 0.930515409961189x₁x₃x₄ + 1.2171660986999877x₁x₃² - 2.4455912606287313x₁x₂x₅ + 0.8553906307184765x₁x₂x₄ + 0.2572542124983333x₁x₂x₃ - 0.5937409704493127x₁x₂² + 0.900691888525195x₁²x₅ - 0.6060298698696778x₁²x₄ + 1.0444941215509722x₁²x₃ - 2.204529764717337x₁²x₂ + 0.6468207564042121x₁³, 0.09542338064940055x₅³ - 0.08147623299096188x₄x₅² - 0.4867660231821626x₄²x₅ - 0.5464834483475708x₄³ - 0.09124046912726252x₃x₅² - 0.15949951488425204x₃x₄x₅ - 2.213127530807224x₃x₄² + 1.6196507937390652x₃²x₅ + 0.35275164799162384x₃²x₄ + 0.07600015300954044x₃³ + 0.7203210416787552x₂x₅² + 1.384935253824548x₂x₄x₅ - 0.38949081486790016x₂x₄² + 0.8601378226674727x₂x₃x₅ + 1.6643685776842738x₂x₃x₄ - 0.33173326673030784x₂x₃² - 0.6385703151764385x₂²x₅ + 0.27068428436609465x₂²x₄ + 0.3106098176010047x₂²x₃ + 0.41602116108324205x₂³ + 0.5005376270441775x₁x₅² + 1.4105542556998472x₁x₄x₅ - 1.1791673945534975x₁x₄² - 2.2835100800101245x₁x₃x₅ - 1.4567988935394882x₁x₃x₄ + 1.3126501540368574x₁x₃² - 1.0701598951208968x₁x₂x₅ + 2.170342745672041x₁x₂x₄ - 0.43849751031861706x₁x₂x₃ - 0.3756112691791321x₁x₂² - 0.1735531947788621x₁²x₅ + 1.7130990832419537x₁²x₄ + 0.8271737300364357x₁²x₃ - 0.7916341487421031x₁²x₂ - 1.068588489891972x₁³]
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Number of roots: 18
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PARALLEL
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139.703750 seconds (1.66 M allocations: 111.276 MiB, 5.97% compilation time)
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Number of steps: [24, 33, 52, 57, 24, 29, 54, 40, 65, 55, 41, 33, 34, 35, 26, 47, 41, 26]
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Solutions: [[-0.11974440624901207, -0.24370072864528, 0.030069551442147062, 0.061784710452620274, 0.04819432160281429], [-0.007722798049989519, 0.0012282397783866805, -0.04412701474183908, 0.032044849148888374, -0.0057723274209571865], [0.41601937518179954, 0.5302742484526618, -0.6974355509202029, 0.6420396838817044, -0.6893362573421087], [0.012698619658638145, -0.11037596134069863, -0.19625154088156122, 0.29505694867084087, -0.2212910420134697], [-0.1032971056738283, -0.17206353009432512, -0.14018381450302625, 0.16539573768301247, -0.011101533885547882], [-0.0005036847018725604, 4.355266077757255e-6, -0.00035141673867404653, -0.00032922221140651675, 0.0008398415389773758], [-0.10329710567382919, -0.1720635300943219, -0.1401838145030338, 0.16539573768301488, -0.011101533885547327], [-0.06185022960351407, 0.05869494720588324, -0.4363349359258484, 0.2511944591786657, -0.05132021834587873], [0.0714136694891636, 0.2465426565385539, -0.02238956764910864, -0.11542922561445758, 0.06261513521313113], [-0.08707005436181439, 0.031566598494093163, -0.2601154077076245, 0.09241405586153142, 0.07033813370499398], [0.00040921896708800444, -0.00039530064263409314, 0.0004723733032561476, 0.00047248480166530885, -0.0009289320876270353], [-0.007722798050020643, 0.0012282397783745843, -0.044127014741916104, 0.032044849148927704, -0.005772327420944148]]
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Norms (lower = better): [0.0778116305094379, 0.007947196106339692, 2.487726750759443, 0.10797168038742555, 0.03585319920666552, 1.2252788168547009e-6, 0.03585319920666575, 0.153634842117051, 0.047135257443984405, 0.031594378163564064, 1.2163345845785773e-6, 0.007947196106341174]
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SINGLE
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95.067010 seconds (83.82 M allocations: 3.290 GiB, 3.05% gc time, 48.91% compilation time)
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Number of steps: [34, 38, 34, 46, 50, 33, 26, 40, 46, 26, 59, 26, 40, 30, 40, 28, 26, 24]
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Solutions: [[-0.07325056180364461, 0.1372931006956865, -0.09341311061969704, -0.12406201869493223, 0.22615249727565864], [-0.09417204636527798, 0.1061969685931825, -0.1690808255305201, -0.06325650816737766, 0.19831079002113958], [-0.07325056180364428, 0.13729310069568515, -0.09341311061969457, -0.12406201869493268, 0.226152497275658], [0.00017334541717597474, 0.0008419172853213718, 0.00021669456705130838, -0.000756777291866671, 0.000508401739830742], [-0.07346251905769048, 0.11853345020394603, -0.08824961825211738, -0.10380665055567131, 0.21546819807460996], [-0.18303843696217031, -0.5348184285114959, 0.03119795918380916, 0.2619354307309353, -0.0789724078660175], [0.00012222646733084765, 0.0008096121785885054, 0.0005173960246061477, -0.001049154099850842, 0.0007446724938302888], [0.06810573791333269, 0.278790513378903, -0.08364019771194649, -0.09063440746192505, 0.07232396585785782], [-0.0006801606427087091, -0.0008337554292248582, -6.775129886665726e-5, -1.0613315540421245e-5, 0.0006089413492293629], [0.0434272736482201, 0.17713152476461377, 0.007594112382070499, -0.10524844559635155, 0.07708171281528184], [-0.20146597737631294, 0.08991235739660543, -0.280310571697937, -0.05878522087198393, 0.3516052342443248], [-0.06490199381043533, -0.19251881780510519, 0.055943680829264195, 0.05814282644791416, -0.005790451971677269], [-0.20146596100086475, 0.08991236581510878, -0.2803105629680329, -0.05878521638402577, 0.3516052135469201]]
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Norms (lower = better): [0.06975772220370582, 0.04332216685643736, 0.06975772220370573, 6.243691296986413e-7, 0.06635719571640535, 0.27897064057836835, 9.941119814012722e-7, 0.06215681488329187, 1.9439781210667975e-6, 0.030608007723730637, 0.13852034943972621, 0.038860521949225166, 0.1385203306211578]
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5,5
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% srun --partition=production --time=01:00:00 --nodes=20 -n 40 --pty bash -i
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System: VectorPolynomial{Float64, MultivariatePolynomials.Term{Float64, Monomial{(x₁, x₂, x₃, x₄, x₅), 5}}}[-0.6677802133615405x₅² + 0.4069564550825961x₄x₅ - 0.6261406631084998x₄² + 0.4751039230583239x₃x₅ + 2.4790376406897368x₃x₄ - 0.08385896830712068x₃² - 0.32343003414466376x₂x₅ - 0.5827604439316452x₂x₄ + 0.5922240565365612x₂x₃ + 0.6875573558863234x₂² + 1.5370078803284584x₁x₅ + 0.44416805949203175x₁x₄ + 1.0022589801068893x₁x₃ + 0.5920976049631x₁x₂ - 0.7674401866627351x₁², 1.1869384902973434x₅⁵ - 0.032986419665508054x₄x₅⁴ + 2.4128068243647385x₄²x₅³ + 1.6991434687765348x₄³x₅² + 1.360334998674256x₄⁴x₅ - 1.849622762990884x₄⁵ - 0.394031388194872x₃x₅⁴ - 0.009517766583154612x₃x₄x₅³ - 1.3741272096259933x₃x₄²x₅² + 0.2451066379779407x₃x₄³x₅ + 0.1041949225422853x₃x₄⁴ + 0.505334849593181x₃²x₅³ - 0.42289264257207837x₃²x₄x₅² + 0.4532675683272846x₃²x₄²x₅ - 1.3085983627771378x₃²x₄³ + 0.5746645128013783x₃³x₅² + 0.6346679951043779x₃³x₄x₅ + 0.6777679841936823x₃³x₄² - 0.3077226306610165x₃⁴x₅ - 0.47355104187819436x₃⁴x₄ + 0.25453503566979546x₃⁵ + 1.293564162902309x₂x₅⁴ - 1.334394385104662x₂x₄x₅³ - 0.8823478206539254x₂x₄²x₅² + 0.8062138193086394x₂x₄³x₅ - 1.5594463950436992x₂x₄⁴ + 0.25286168417845817x₂x₃x₅³ + 1.7900272482323742x₂x₃x₄x₅² - 0.5379522954985471x₂x₃x₄²x₅ + 0.25848023784170165x₂x₃x₄³ + 0.6085486094206505x₂x₃²x₅² - 0.4903850600039639x₂x₃²x₄x₅ - 0.6132791163098043x₂x₃²x₄² + 0.35098754755668193x₂x₃³x₅ - 0.1979318887073031x₂x₃³x₄ + 1.0070286945868314x₂x₃⁴ - 1.0725867793032209x₂²x₅³ - 1.5217954031058676x₂²x₄x₅² + 1.4139557598028965x₂²x₄²x₅ + 0.15064953766096192x₂²x₄³ - 1.1339487255908265x₂²x₃x₅² - 0.21516562267756054x₂²x₃x₄x₅ - 0.7427782881290198x₂²x₃x₄² - 0.3272273099951338x₂²x₃²x₅ + 0.8409730837355395x₂²x₃²x₄ - 0.013259991990246568x₂²x₃³ + 0.672833144378089x₂³x₅² + 0.01986551829100768x₂³x₄x₅ - 0.13842620891846627x₂³x₄² - 0.3842812949698463x₂³x₃x₅ + 0.22294587395992577x₂³x₃x₄ - 0.5230889159469501x₂³x₃² - 0.3751544671206531x₂⁴x₅ - 0.4246516216596104x₂⁴x₄ + 0.8159279855690207x₂⁴x₃ + 0.6897479395648319x₂⁵ - 0.35354268379943493x₁x₅⁴ + 0.24741109698796837x₁x₄x₅³ - 0.7277187487205389x₁x₄²x₅² - 1.5280085403494568x₁x₄³x₅ + 0.6096004623831554x₁x₄⁴ - 0.3654071791882813x₁x₃x₅³ - 1.6469719988391374x₁x₃x₄x₅² - 0.8958801137664566x₁x₃x₄²x₅ + 1.394581628347276x₁x₃x₄³ + 0.9494507608755902x₁x₃²x₅² + 0.37931104104922986x₁x₃²x₄x₅ + 2.5030454760026775x₁x₃²x₄² - 0.7170491042412729x₁x₃³x₅ - 0.7781888365968144x₁x₃³x₄ + 0.4325793525965378x₁x₃⁴ - 1.2462303111162543x₁x₂x₅³ + 0.31180793743971025x₁x₂x₄x₅² - 1.7156344277308138x₁x₂x₄²x₅ - 0.05803882832641371x₁x₂x₄³ + 0.7524115160698595x₁x₂x₃x₅² - 1.2307786226666204x₁x₂x₃x₄x₅ - 1.0417388160258712x₁x₂x₃x₄² - 0.7179846029175307x₁x₂x₃²x₅ + 1.496586185247892x₁x₂x₃²x₄ + 0.21940066601280792x₁x₂x₃³ + 1.2100634987292902x₁x₂²x₅² + 0.7975327324520595x₁x₂²x₄x₅ - 0.180614928615218x₁x₂²x₄² - 0.6931788527829343x₁x₂²x₃x₅ - 0.7684820901981678x₁x₂²x₃x₄ - 0.5655735630549656x₁x₂²x₃² + 0.267808972669061x₁x₂³x₅ + 0.08806992755179069x₁x₂³x₄ + 0.10018245507719012x₁x₂³x₃ + 0.0855277028232206x₁x₂⁴ - 0.3547165908372334x₁²x₅³ - 0.48574946671335434x₁²x₄x₅² - 0.3523823724943389x₁²x₄²x₅ - 0.031475206413952135x₁²x₄³ - 0.7548937445747592x₁²x₃x₅² - 0.33930738323345105x₁²x₃x₄x₅ + 0.7432283722211709x₁²x₃x₄² + 0.269337170228919x₁²x₃²x₅ + 0.023842972290137748x₁²x₃²x₄ - 1.0164909709914
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Number of roots: 90
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PARALLEL
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252.224948 seconds (1.69 M allocations: 116.650 MiB, 0.12% gc time, 3.69% compilation time)
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Number of steps: [48, 58, 53, 40, 73, 78, 63, 74, 72, 62, 38, 76, 45, 65, 58, 43, 74, 62, 26, 63, 42, 61, 37, 61, 62, 85, 45, 75, 46, 57, 44, 89, 67, 52, 67, 50, 52, 50, 64, 98, 45, 54, 47, 66, 48, 52, 80, 43, 60, 73, 49, 53, 65, 53, 45, 59, 52, 49, 47, 41, 61, 60, 67, 75, 69, 70, 84, 49, 83, 99, 43, 39, 37, 35, 35, 52, 54, 70, 46, 41, 42, 46, 55, 45, 75, 98, 53, 54, 63, 34]
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Solutions: [[1.4277792942699636, 0.11822636781606155, 1.3256635743799117, -0.6874640291572598, 0.9310887046959662], [0.003711998178443696, -0.0041204878038591675, -0.0005855624852536219, 0.0004992536219710898, -0.001240512685153437], [-1.4377262062764595, -3.085316870675217, -5.836474847882949, 3.7504046241325733, -5.300319155658656], [0.22610676816069256, -0.2169022405888627, -0.06689299211735267, 0.26265765894707266, 0.8476059769217609], [-0.005697595341844483, 0.012065282003987472, 0.0038793062085705488, 0.0009442405651845912, 0.018007111428276205], [-0.014101648763247446, 0.01185457969368752, -0.0054581653356019205, 0.00258121547562679, -0.009158744573725954], [-0.08354737330208464, 0.34994071043524755, 0.3108451053290209, -0.27000596664464205, 0.030647355554776195], [0.0017410577280674972, -0.004125126723444837, -0.0029727314310719764, 0.0009616733632343095, -0.008394598694883765], [-0.006143607652470174, 0.005012604090548986, -0.006669769439297255, 0.0055388499435658186, -0.005127374121414239], [0.23785574593741166, -0.03726184785188784, 0.18788426238903239, -0.10759209394318688, 0.13212970586133155], [0.0010322765241643848, -0.0032942663628134504, -0.0034459022051421683, 0.00454842820182994, 0.007528185240266174], [0.0010322765241579245, -0.0032942663627910317, -0.003445902205123917, 0.0045484282018176765, 0.007528185240281214], [0.008656917780941855, -0.007277490803763269, 0.003351265766642918, -0.0015850253369867713, 0.005623315953209517], [5.0375892241943125, -0.3827202474659612, 2.6660767098773768, 0.6896214476786002, 9.504261208843968], [0.7230310897416575, 0.18839244564292468, -0.27185629039969567, 0.5298265983008057, -0.6206922560068407], [-0.007090036915392929, -0.0043592248834585234, -0.004426403908343, 0.002148378907602296, 0.0075386339606916255], [0.004769471083065115, -0.007448229272223744, 0.007734053259506989, -0.008482463956765048, 0.0027090333548291656], [0.004769471083055576, -0.007448229272208157, 0.007734053259494369, -0.00848246395675008, 0.0027090333548283477], [-0.0019191768365852987, 0.007285043574169343, 0.00401793657707411, -0.004590993665424009, -0.009416416527152128], [-5.5324419234112545, 4.8529640161369425, 1.9086540167920967, -2.892983699095159, -0.5510483753276965], [-1.4377262062762695, -3.0853168706751806, -5.836474847882587, 3.7504046241323143, -5.3003191556584], [0.0007598826863550899, 0.0038324448512931817, 0.00562183299012525, -0.005016901985980063, -0.0021338154249640226], [-0.0006302701243370019, 0.0016386346371898655, 0.0028039549829624675, -0.00617929458742889, -0.017634159884398398], [18.330382564766747, 3.2109333195507395, 18.70413454088301, -9.826327627327606, 13.360335478219506], [-1.075967279491582, -0.7505873177999642, 0.9263589577669569, -2.271362226685884, -3.1267349777894986], [0.15378053294962005, 0.3631940840444703, -0.09168865636367243, 0.31219391010858194, -0.15463410167322164], [0.14261425018280208, -0.18244303187066144, 0.2031505382472087, -0.16807955306336553, 0.22968141395778424], [0.003711997761777111, -0.0041204872315151846, -0.0005855623181617974, 0.000499253508710572, -0.0012405124530215621], [0.008656917781483265, -0.007277490804218405, 0.0033512657668524036, -0.0015850253370858164, 0.00562331595356104], [-0.2701484229341554, 0.13651949652474163, -0.015499934688107203, -0.04432280775564548, -0.12016593978558393], [-0.07826754003741955, -0.07563382098341308, 0.014304780273001815, -0.06221243754865577, -0.022358822342461393], [0.019505636344581984, 0.010858646228087925, 0.005143022453729356, 0.004591558217253703, -0.004211374051920036], [-9.034359422478433, 48.906265179421645, -30.542927632588466, 35.270462012498584, -53.714283184592695], [-0.013446754998922833, -0.005727099497979461, -0.004505861778086851, 0.0004571074014439924, 0.013294654501594777], [0.1537805329496189, 0.3631940840444718, -0.09168865636367157, 0.3121939101085812, -0.15463410167322017], [0.18135043384157917, -0.03689691498122802, 0.006808066833608108, 0.0975618251804253, 0.20242732492276772], [0.4332846984553769, -0.83728978162334, 0.08534932279916223, -0.3461925109600306, -0.8043011
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Norms (lower = better): [21.859884872707955, 1.7261765554986255e-5, 20605.167065872065, 0.9412812724008076, 0.0003664759542646517, 1.0183823967258842e-9, 0.1709313287957047, 7.031931228124449e-5, 0.00011061027096354671, 0.052706035025455504, 5.0474487149518036e-5, 5.047448714954357e-5, 4.0589853515621916e-10, 64525.33270320093, 2.0261733018412738, 0.00011248560160963592, 0.0002429003856493003, 0.00024290038564843218, 1.1823947914424697e-5, 10146.436567758674, 20605.167065866262, 5.462759285764041e-5, 0.00021842114873149189, 8.033670296018311e6, 848.9036622013492, 0.18074337936437723, 0.10484764463696931, 1.7261761163803166e-5, 4.0589853517386603e-10, 0.03391470196357747, 0.008356264866470954, 4.45691495960502e-5, 4.020236353078918e8, 0.00039693436013135355, 0.1807433793643755, 0.022941864879212123, 3.3972721663252, 0.29992393745443485, 0.00014161620992658215, 1.0227995601692098e-10, 7.004743153671774e-5, 0.2238894263531851, 0.052706035025455386, 0.0003664759534186773]
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SINGLE
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774.436612 seconds (1.21 G allocations: 43.834 GiB, 2.97% gc time, 5.95% compilation time)
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Number of steps: [59, 44, 46, 69, 46, 45, 47, 46, 55, 66, 48, 62, 24, 46, 44, 33, 24, 24, 54, 41, 47, 45, 44, 41, 24, 24, 45, 24, 24, 27, 34, 57, 51, 73, 63, 32, 26, 42, 30, 53, 25, 46, 39, 42, 42, 58, 46, 35, 59, 27, 68, 40, 24, 42, 24, 46, 53, 44, 48, 55, 24, 64, 34, 50, 47, 71, 43, 35, 37, 65, 57, 45, 28, 55, 46, 44, 24, 45, 24, 47, 24, 43, 38, 24, 46, 35, 52, 65, 43, 31]
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Solutions: [[-0.2207079902460413, -0.21013179429826115, 0.010288309757311478, -0.1820200861032997, -0.054582238023800494], [3.953383414077864, -6.044507775715409, -5.0175890199275095, 5.658560296855932, 3.3621036199805383], [0.012907491051392491, 0.0006083312365286465, -0.0003675196538944668, 0.007720202667240357, 0.011140317728883633], [-0.008752482936415094, 0.0009988405874443236, 0.0005400759889713256, -0.005108512014413397, -0.007614143729193676], [0.009530428678510772, 0.012262365060759572, 0.00035174295323237806, 0.004476241530829436, -0.014330531602360952], [0.4054116356126245, -0.28148308024095137, 0.06729564016776257, -0.09162862377553269, -0.3980267744945063], [0.15677038956396208, 0.18277025490818224, 0.2925533420661449, -0.1598142786579633, 0.22106582082434328], [0.11187080297654985, -0.28360579797445196, -0.07518254185352607, -0.043440291508344435, -0.35782013267965485], [1.7790602816309498, 0.7724360687730005, -3.1176537508171958, 3.361078122026224, -4.499854982441808], [2.115172327981953, -2.768307812772836, 0.63546049459132, -0.6761931858676318, 0.5430889159235142], [-0.0062223476909809075, -0.01588809289489835, -0.008370730110402529, 0.004693187563627718, 0.015964322135727467], [-0.012474777403156157, 0.0037016035336536355, -0.007395885945011455, 0.003626318303853747, -0.004316247803736707], [0.007307290606117997, -0.48343190421753257, 0.1510909893399027, -0.319405138511448, 0.12473996397181042], [0.10101081258119264, -0.09980391799058025, 0.13848214632975347, -0.13078730627684385, 0.10372823845030392], [-0.015398672425882344, 0.0008374528639670696, -0.012573613302571679, 0.00642722362297605, -0.0084496318851621], [10.392394368760048, 7.268347572321973, 1.5621130880289726, 2.201877762514686, -12.432702405701134], [-0.02121185675691498, 0.017831732906627935, -0.008209388085105157, 0.0038820051014261713, -0.013775377742326594], [0.011639089644807546, -0.008066189693997828, -0.0021069964649317527, 0.006191034477998348, 0.010419191115817893], [0.12741135115989397, -0.25154846479849285, -0.3485310693995519, 0.20657470659152413, -0.026155977122117126], [-0.6731335005080522, -0.16138728345225634, -0.524494092685722, 0.26874255487231347, 0.26782811578712384], [-0.07609082774752923, -0.24793679837229196, -0.347672539447621, 0.3534572952620774, 0.02250654965176604], [3.2608698640847478, 1.3084676795459655, 0.9766149559731256, 0.0013299977475786338, -3.1976334096743297], [0.0026268446168835075, -0.003721817827424567, 0.0057663201816951235, -0.005718509617812439, 0.003949212757825571], [0.005570725507762718, -0.006297410911507714, 0.007800053528691488, -0.008162910260817616, 0.0012157334554754023], [-0.6700450660467729, -0.37285382535279843, -0.3748335449555728, 0.039999278137681, 0.2543621364157356], [0.012513076794480113, 0.008258696131569404, 0.003998270798083634, 0.002305720816320209, -0.004225581908772471], [0.8086270034196055, -0.45577670838222695, -0.5127569859992425, 0.7554331419870706, 0.39887266205586297], [-0.0016738867194645674, -0.0006924498220734808, -0.002090774038086624, 0.0011100650161240304, -0.001569438396638112], [-0.008329160659329711, -0.007195716261833453, 0.0005044313346012014, -0.0065356940986728415, -0.0023568591938002413], [0.012663145074977235, 0.0017946805073031852, 0.007699870352101681, -0.003508788406483086, -0.0029171887744172446], [-1.213763889065953, 1.522337346323857, 0.7868023926727059, -0.5023240240499838, 1.71110721622607], [0.0035079108555434568, -0.003931083093251869, 0.00429703364112252, -0.004586865425126563, 0.00010036152790193912], [0.4356042006758447, 0.35189804847144757, 0.7691161579745041, -0.4601816886370705, 0.5215357683342043], [-0.9552738294248533, 0.5609420608876381, -0.9379133868397327, 0.7115475462766492, -0.5537426936055967], [0.0038252490357785283, 0.007522474798126668, 0.010295153574641589, -0.008512353874647728, -0.006108257484957696], [0.002241185515970267, -0.006472607805245285, -0.008651040615093435, 0.004616403139760596, -0.018626494541668745], [-0.017049941172614394, -0.014724898158047813, 0.0010319209885349793, -0.01337658951251935, -0.0048255407866802
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Norms (lower = better): [0.006983111873234603, 19939.948858430034, 3.8405970021404356e-5, 1.1996334545400517e-5, 0.00023173687996248747, 0.6312548124065889, 0.04217410366280303, 0.20108135878009725, 4115.0994480306845, 81.39280913889371, 3.1374626270989056e-5, 8.414547394725095e-5, 0.3370890864211564, 0.05857232284420587, 0.00010537658905220868, 1.22423463841514e6, 7.6238779680227e-9, 3.2100716144765296e-5, 0.18539201112420153, 1.0541140507349809, 0.24388229301191186, 2304.4052935466166, 0.00011126135145329048, 0.0002453201744126748, 1.0779171696581233, 1.7497096218664118e-5, 1.686032237121337, 1.1470845869869787e-6, 4.179652472411825e-10, 0.0001645256146179409, 36.77008514016683, 8.243912210594478e-5, 0.8581960874261134, 6.4423797887541, 0.00017329735522426896, 0.00036006769432972907, 3.36544661824375e-9, 4.143320960149801e-5, 1.3228966419986703e7, 4.17590337635854e-5, 0.06972248786148945, 0.0004879961345035627, 1.1098127055962687e7, 0.08835580048825133, 0.1662521589104135]
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4,5
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% srun --partition=production --time=01:00:00 --nodes=20 -n 40 --pty bash -i
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System: VectorPolynomial{Float64, MultivariatePolynomials.Term{Float64, Monomial{(x₁, x₂, x₃, x₄), 4}}}[-1.0663552764773094x₄ + 0.3965904883334873x₃ + 0.3177496227683195x₂ - 1.0181905417468735x₁ + 1.0330947934507677x₄² - 1.030854469856002x₃x₄ - 0.7029577702564154x₃² + 1.3931090809238316x₂x₄ - 0.15650485855246513x₂x₃ + 1.0417974490775905x₂² + 0.14590066473248808x₁x₄ - 0.9765252516024836x₁x₃ - 0.8414019639971708x₁x₂ - 0.6178677345280451x₁², -0.2707328310730724x₄ - 0.9894849856053514x₃ + 0.533216861535459x₂ - 0.002585432641256467x₁ + 0.1763346095981474x₄² + 1.3084051025230998x₃x₄ - 1.3285008077905418x₃² - 1.7700920207893074x₂x₄ + 0.8359826515994486x₂x₃ + 0.6634466985670521x₂² + 1.2985508200562972x₁x₄ - 0.271472391388247x₁x₃ - 1.3918178719754215x₁x₂ - 1.9901120480915304x₁² + 2.0121846693221213x₄³ + 0.16731634941839502x₃x₄² + 1.7190239673214847x₃²x₄ - 0.04210838671630411x₃³ - 0.3896985615619424x₂x₄² - 1.1388618073379022x₂x₃x₄ - 0.2586912652861795x₂x₃² + 0.619913450265576x₂²x₄ + 0.13246221067309827x₂²x₃ - 0.18680658181134496x₂³ - 0.17201917239579587x₁x₄² - 0.8396937269452999x₁x₃x₄ + 0.3343186694573827x₁x₃² - 0.4396817113052613x₁x₂x₄ - 0.9403484461359678x₁x₂x₃ - 1.9188187648825858x₁x₂² - 1.854240000732178x₁²x₄ + 0.3027386783500511x₁²x₃ + 2.0995967158325053x₁²x₂ + 0.8835055175498505x₁³, -0.4022527697771082x₄ - 0.5546444292075402x₃ - 0.37250862064082796x₂ + 0.6832207564358231x₁ - 1.6182492204692664x₄² + 1.300224748158471x₃x₄ + 0.23984823807509037x₃² - 1.4026780165428545x₂x₄ + 0.4282036114173496x₂x₃ + 0.11880318860322975x₂² - 0.857019222709735x₁x₄ + 0.6527594373125151x₁x₃ - 0.1971005991059049x₁x₂ + 1.7969399098941852x₁² + 0.9840962779398827x₄³ + 1.1046366991519838x₃x₄² - 0.614751401015846x₃²x₄ + 0.662834668283538x₃³ + 1.541300816384047x₂x₄² + 0.7609195819754325x₂x₃x₄ + 0.8355859899908537x₂x₃² - 1.3146465215856065x₂²x₄ + 0.05343701308949392x₂²x₃ + 0.1700405691047037x₂³ - 0.7447385691623064x₁x₄² + 0.43383304102611514x₁x₃x₄ + 1.0705943700618072x₁x₃² - 0.5619779941610796x₁x₂x₄ - 1.2616604597466083x₁x₂x₃ - 0.14744712287357223x₁x₂² + 1.6536031777073001x₁²x₄ - 0.4506375064736003x₁²x₃ - 0.7159244742653361x₁²x₂ + 1.1528688536770766x₁³ + 0.7316426593970766x₄⁴ + 0.682035463699447x₃x₄³ - 0.660556961895034x₃²x₄² + 2.0344929552303817x₃³x₄ - 0.7225703625280984x₃⁴ + 0.511095788129881x₂x₄³ + 0.14255526592633314x₂x₃x₄² + 0.23575110177590028x₂x₃²x₄ - 0.2651043022003947x₂x₃³ + 0.4701873851507006x₂²x₄² - 0.40175615867898035x₂²x₃x₄ + 1.0566378083684278x₂²x₃² - 0.7189700711659974x₂³x₄ + 1.8322916528225182x₂³x₃ - 0.07392039305173378x₂⁴ - 1.2312446489283964x₁x₄³ + 0.6103532812622169x₁x₃x₄² - 0.2816509799510135x₁x₃²x₄ - 0.875292523876263x₁x₃³ - 0.15160357171931751x₁x₂x₄² + 0.9346285826079089x₁x₂x₃x₄ + 1.2434417575996857x₁x₂x₃² + 0.1378175254789527x₁x₂²x₄ - 0.3682952985326324x₁x₂²x₃ - 0.3927214020347447x₁x₂³ - 0.3054349331113511x₁²x₄² - 3.2196459852306396x₁²x₃x₄ - 0.9744252315103752x₁²x₃² + 0.8648788135666295x₁²x₂x₄ - 0.5764735896947072x₁²x₂x₃ + 0.45636319964559957x₁²x₂² + 0.08922191938221286x₁³x₄ - 0.9311643616741953x₁³x₃ + 0.6846935690311631x₁³x₂ - 0.40618450160961x₁⁴, -0.35248015336639904x₄ - 0.004494050566953154x₃ + 1.3810468173258443x₂ + 1.0050986648585636x₁ + 0.18059604479080946x₄² - 0.398134343588361x₃x₄ - 3.2165662656766094x₃² - 0.806676649292721x₂x₄ - 0.4634386724039165x₂x₃ - 1.959729022228517x₂² + 0.882459012090141x₁x₄ - 0.6936924693661919x₁x₃ + 0.9525509440401578x₁x₂ + 0.14143583407461627x₁² + 0.7853611111619804x₄³ + 0.7369473528459198x₃x₄² - 0.645762749599256x₃²x<EFBFBD><EFBFBD>
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Number of roots: 120
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PARALLEL
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231.164993 seconds (1.32 M allocations: 92.870 MiB, 0.41% gc time, 4.20% compilation time)
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Number of steps: [42, 45, 39, 38, 42, 45, 51, 43, 36, 36, 42, 36, 47, 42, 43, 36, 51, 42, 35, 38, 41, 35, 36, 36, 54, 43, 82, 63, 55, 48, 38, 40, 49, 31, 46, 40, 57, 33, 43, 62, 47, 36, 55, 40, 64, 56, 78, 88, 51, 45, 36, 74, 71, 69, 43, 44, 67, 67, 38, 53, 43, 40, 40, 36, 61, 42, 51, 35, 42, 48, 38, 45, 52, 53, 36, 72, 73, 45, 63, 43, 36, 56, 91, 67, 51, 32, 36, 44, 46, 41, 55, 73, 61, 50, 47, 61, 48, 58, 35, 63, 52, 45, 58, 40, 35, 60, 200, 50, 43, 44, 40, 36, 58, 41, 46, 39, 43, 50, 48, 57]
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Solutions: [[2.49520069100722, -1.3445299237274528, -0.6372957285948343, 2.405698552936821], [-0.6284553241176061, -1.0553948954157701, 1.5272617692290864, 0.3629502186023922], [-0.20258805855495793, -0.2878273172954974, -0.09977692806465886, 0.6269434704618344], [0.5180310460876989, 0.8000437445498099, -0.05329959605095194, -0.031173594907665737], [-0.31715640016227803, 0.010715526359073637, 0.25594060171021527, 0.6726944831044201], [0.09117777404636279, 0.44270409852258436, 0.48708682919345697, 0.5855432585248237], [-0.5142187089101059, -1.0401969383641523, 0.10421280626942714, 0.3651721046720663], [-0.16594766309928521, -0.19083035720080493, 0.5076994357944727, 0.3710393131814385], [1.2909192513310683, 1.736442253984016, -0.8910230625128415, -0.21135252249568776], [1.2935710107095768, 0.6320880474106666, 0.10941458926352235, 1.4512888738335723], [0.5042227717211396, -0.5610624081535128, -0.02602656193980726, -0.25623373761702656], [1.17398286934286, 1.351010386103371, -1.094187430538471, -0.36298724222861795], [0.322102567407738, 0.23795710884208204, 0.32448969659041355, -0.01904038632552322], [-0.9386403847597149, 0.4841446680022155, 2.144317442422332, 0.47334675594464454], [0.8542092427566208, 0.09004783246067853, -0.7871270493521304, 1.0592252919529512], [0.5206071836545522, 0.5109938436407535, 0.6338287355964968, -0.4824810545662772], [5.293567612829771, -1.4825294663639925, 3.5582127238462142, -3.9199487648370406], [0.5324552028658158, 0.8118164942691906, -0.1009923315660163, -0.03205350456107401], [-0.16594766309928488, -0.19083035720080468, 0.507699435794473, 0.3710393131814382], [5.236502702757225, -1.4501932268333242, 3.520374198519599, -3.878781857384131], [-0.0004995238451862017, -0.0002639459091049496, 0.0009257588618834638, 0.0023216835901345404], [-0.009312245786945098, -0.0036762722296869855, 0.013488168899608442, 0.03832754843344852], [-0.009312245786945098, -0.0036762722296869855, 0.013488168899608442, 0.038327548433448516], [0.8941133102065023, 0.029756357019808593, -0.048042423945610334, -0.7489649462388297], [-0.595518831789834, 0.15819103178370753, -0.3704435900560463, -0.2411105156015607], [0.5324552028658158, 0.8118164942691906, -0.10099233156601632, -0.03205350456107392], [0.7814313158037134, 1.3548415180049884, -0.4677753344492773, -0.5728507664369688], [1.4488755029322855, -0.1717355995176225, 0.4082749080251069, -1.2743250421383485], [0.3727054652328382, -0.24356495231383551, -0.4714909480681775, -1.2634877707499286], [1.4487303427385714, -0.18512409403192576, 0.42098360252372347, -1.2679590132640826], [-0.33268801738574716, 0.12811798918564798, 0.024749573352467014, 0.2106002331677433], [-0.5177061460810121, -1.0619316618353827, 0.09506693699849243, 0.36407637943036986], [1.1642045214281775, -0.4173066691321675, 0.567651889563161, -0.007532093368978522], [1.033951477096545, 0.9025421188578355, -1.6336564105924378, 0.6856320328712828], [-0.5893679929719815, 0.15732103707753617, -0.3659451564745454, -0.2404675462432926], [0.5181638705715877, 0.7994442285543967, -0.04648179046602059, -0.03115547761468061], [-0.3433698763064556, -0.7877247784099112, -0.7625833058900704, -0.24093796614102886], [0.8941133102065023, 0.02975635701980878, -0.04804242394561034, -0.7489649462388298], [0.09327968271494615, 0.43628922723339414, 0.4852053947649208, 0.5794261947144849], [-0.17392899679853582, -0.1986448877432486, 0.5036825836734912, 0.3758813142403027], [5.26137353851013, -1.4642557953414925, 3.5368846974165176, -3.89674809835742], [-0.3326880173857473, 0.1281179891856481, 0.02474957335246708, 0.2106002331677433], [-0.33531399179086946, -0.017850991264993604, 0.003141823289221065, 0.7245802289646405], [0.09043897204421296, 0.40698924896393357, 0.3285826433274646, 0.11826304872250028], [-0.5142187089101059, -1.0401969383641523, 0.10421280626942715, 0.3651721046720663], [-0.3433698763064559, -0.7877247784099114, -0.7625833058900704, -0.24093796614102903]]
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Norms (lower = better): [2.0390335688960324, 5.002420589227314, 0.8263260516148763, 0.7841717882789214, 0.09061855953187614, 0.05908396401385866, 0.15208969621197926, 1.05608590176366, 10.961369264752097, 23.867006164759964, 2.065777513740814, 13.209259352536336, 0.7644698450537577, 10.299614269309778, 6.14235566842393, 1.8990268479495354, 5.77149302529119, 0.8674015774065275, 1.0560859017636612, 1.512979924306153, 0.0033751637475145737, 0.054716218139848435, 0.05471621813984843, 1.90233719353716, 0.6233109498235113, 0.8674015774065273, 6.27412202768042, 11.597376029450766, 6.246498603243341, 11.522586944823614, 0.5263406456504824, 0.0848746935239051, 5.173675001334972, 3.2308989929446095, 0.6154553689333895, 0.7831127573693263, 6.294638547529027, 1.9023371935371596, 0.08359460025083744, 1.049494196410023, 1.5403633303800692, 0.5263406456504827, 0.04857810119346329, 0.25481497048150104, 0.15208969621197935, 6.294638547529028]
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SINGLE
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805.911525 seconds (1.48 G allocations: 52.456 GiB, 4.84% gc time, 5.31% compilation time)
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Number of steps: [41, 31, 60, 78, 83, 73, 54, 39, 50, 40, 40, 79, 45, 115, 92, 52, 39, 69, 46, 43, 54, 42, 42, 62, 57, 53, 82, 87, 60, 109, 49, 42, 55, 58, 60, 64, 40, 68, 67, 88, 71, 62, 62, 48, 75, 36, 55, 60, 70, 45, 52, 53, 41, 60, 58, 47, 200, 53, 61, 37, 57, 54, 50, 72, 52, 59, 51, 50, 100, 50, 43, 54, 59, 61, 48, 36, 59, 44, 61, 76, 54, 60, 46, 61, 50, 51, 44, 87, 62, 50, 39, 37, 49, 42, 55, 60, 55, 57, 59, 66, 56, 92, 59, 40, 50, 47, 59, 56, 61, 54, 84, 40, 64, 57, 56, 43, 58, 55, 43, 58]
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Solutions: [[-0.3190864625938868, 0.028965590787236137, 0.25523617854958475, 0.6847793851510795], [-1.0153741066648405, -4.209533070940145, -1.1585804861335727, 0.9030314647082052], [0.8966567335922303, 0.031866995298292386, -0.05574448784677342, -0.7572344584914302], [-0.21791894035906414, -0.27140808355496854, -0.06069388814507762, 0.626604434278228], [1.4717493233904315, -0.1704336247959133, 0.42200522582012684, -1.3159086980030774], [1.8178951751302732, -1.0355445169107045, -1.3385763030211082, 1.6257665454792862], [0.9030337427307827, 0.03425281765136197, -0.05760745096378423, -0.7687428227341436], [0.10691974418078656, -0.34956438776786236, 0.18490669380835, 0.23971269034044018], [-0.3489897296479287, 0.009293593654470376, -0.04506643326387471, 0.7833021211633036], [1.783976913097358, -1.0217317167942175, -1.3233793293889733, 1.5969759548239733], [-0.2055326462623506, -0.25942990175553554, -0.07180883302489582, 0.5905670061853964], [0.7625136610376337, 1.3274418114333444, -0.4570986412705594, -0.5722532473468487], [0.09835261564354049, 0.45438623012569906, 0.3419951867279326, 0.10133084567164802], [0.09616406210289073, 0.446204750937861, 0.3474974582116766, 0.10957439752980754], [-0.61945921746557, -1.043013989580681, 1.515419087751297, 0.36300590902671886], [0.33923637764126363, -0.22779124403688955, -0.49067843689873497, -1.2842901143625243], [-0.315339441901909, -0.04771245719824846, 0.09635164709391314, 0.6517984835357057], [0.33923637764126374, -0.22779124403688933, -0.4906784368987351, -1.2842901143625247], [0.549842536181535, 0.8090962632147243, -0.05871045549204965, -0.023251447186007863], [2.6051754472466135, -1.3713239766710423, -0.7336857257588165, 2.50025850852942], [-0.5272894142165989, -1.1141676812056014, 0.07209450989448214, 0.36003805083248547], [1.2051760281367845, -0.42472750427779526, 0.5285699481772654, -0.022868242313398464], [-0.17008168707127827, -0.19814890052068052, 0.4948459863874561, 0.38411850524776836], [0.3037763285648421, 0.5616446350372265, -0.32114345807539924, 0.14661861460970982], [0.3392363776412635, -0.22779124403688938, -0.4906784368987352, -1.2842901143625252], [0.2867966180260208, 0.23055042197191333, 0.32700372449129417, -0.0034401173502420245], [13.889244342690349, -0.5176228383751598, 11.982281856341995, -14.277983840025005], [0.3392363776412632, -0.22779124403688958, -0.49067843689873514, -1.2842901143625247], [1.2051760281367843, -0.4247275042777952, 0.5285699481772651, -0.022868242313398405], [0.2850256565769081, 0.22694281257473167, 0.32708247827205245, 0.001606529882087621], [0.5276803846478402, 0.8093870407773238, -0.09680166166664167, -0.032217141688266046], [0.8966567335922301, 0.03186699529829261, -0.055744487846773334, -0.7572344584914301], [0.9044241725689589, 0.03477300902607698, -0.058070615938768506, -0.7713076154295774], [1.255225758749586, 1.6765079743250368, -0.8643897526652045, -0.17227575103252282], [0.8986811640776287, 0.03262536455487442, -0.056291767282401685, -0.7608443089595208], [1.6204408839051898, 1.8708227327395017, 0.012145891641954216, 0.575840938361239], [0.5265491822842187, 0.8088152991389767, -0.09579831486838297, -0.032264999355240444], [0.2830255820255306, 0.2235457373201319, 0.3276455534698666, 0.007544088735413382], [-0.22154219289277166, -0.2744729471628021, -0.05739201696554915, 0.6373502953580023], [-0.5898912543546035, 0.15747096503190972, -0.36982816704787236, -0.24088387411596146], [1.2617439897895304, 1.6850090523360088, -0.8700372785868355, -0.16824164986013207], [0.5465672993749469, 0.8090206633899464, -0.06325460845389884, -0.024598940220343046], [0.6179308371301121, -1.233019878432227, -1.1986651465837683, 0.7480430033222089], [0.5272243929711921, -0.571221488945623, -0.010862597342355191, -0.2324481652381101], [-0.37643220082452916, 0.13413798193679194, 0.070345547723088, 0.2112843485475024], [-0.5898912543546037, 0.1574709650319098, -0.3698281670478726, -0.2408838741159616], [1.0388696781772517, 0.9021462690823895, -1.631243669634149, 0.6855073418268218], [-0.5831670508284492, 0.15660505812388384, -0.36207541211257144, -0
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Norms (lower = better): [0.0345770747747485, 294.0925845116898, 1.9133891105472778, 0.715057598459313, 12.76950226166713, 0.8321744014321515, 1.945546476290379, 0.7583403588103306, 0.11629662764797345, 0.4816924738209613, 0.7238505811812154, 6.012891248726831, 0.2524635858863618, 0.26113610044696084, 4.8821759026375755, 6.329808483086246, 0.2105756291693393, 6.329808483086253, 0.8984757989585008, 9.7079460291238, 0.08451265505498563, 5.4239416876976465, 1.0186307253025542, 0.08961722882724586, 6.329808483086257, 0.6751905780980312, 4157.11721930796, 6.329808483086251, 5.423941687697645, 0.6732065748357215, 0.8454089174051629, 1.913389110547277, 1.9530757698155505, 9.891672348524901, 1.9231967246545927, 13.49482950051018, 0.8402677211560794, 0.671297597372888, 0.7119080593016436, 0.6240609563131477, 10.030330859262058, 0.8889899007073974, 21.822322973002443, 2.1776708368388187, 0.6336997155442072, 0.624060956313148, 3.5248428831656446, 0.6095252783554088, 12.769502261667144, 0.7711267460486164, 2.147222977471327]
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5,4
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% srun --partition=production --time=01:00:00 --nodes=20 -n 40 --pty bash -i
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System: VectorPolynomial{Float64, MultivariatePolynomials.Term{Float64, Monomial{(x₁, x₂, x₃, x₄, x₅), 5}}}[0.6669591672422481x₅ - 0.4152393627477255x₄ - 0.004327830332322228x₃ - 0.6252479166290963x₂ + 0.22756411076091432x₁ + 0.7463121435296219x₅² - 0.38897142853868527x₄x₅ + 1.2383930142666693x₄² + 0.4574786400731705x₃x₅ + 1.9764153960357111x₃x₄ - 0.2943222033589261x₃² + 1.2815053076610887x₂x₅ + 0.3397000053870327x₂x₄ + 1.3220234135460123x₂x₃ + 1.0153877855875946x₂² - 0.49575272538582266x₁x₅ + 0.7234904387362696x₁x₄ - 0.9349031270079659x₁x₃ - 0.8618751286006682x₁x₂ - 1.694421319206009x₁² + 0.5558786255327207x₅³ + 1.7882945429320465x₄x₅² + 0.37177993677435656x₄²x₅ + 1.7348447476165065x₄³ + 0.6857725550115491x₃x₅² + 0.7820102800457153x₃x₄x₅ + 0.018310282337209414x₃x₄² + 0.31879927174604866x₃²x₅ + 0.029401395855318004x₃²x₄ + 1.04631814392671x₃³ - 0.13483781768106026x₂x₅² - 0.6835892340729871x₂x₄x₅ + 1.1842317540148077x₂x₄² + 0.7718945603632119x₂x₃x₅ + 0.014255206634998489x₂x₃x₄ - 0.7339414856293216x₂x₃² + 1.2900739035895448x₂²x₅ + 0.17024277003798285x₂²x₄ - 0.2916446237584332x₂²x₃ + 0.9320132184808021x₂³ - 2.348396629952585x₁x₅² + 0.9896422806192378x₁x₄x₅ + 0.8135837953100004x₁x₄² - 1.1883009220898977x₁x₃x₅ - 0.34192323674274133x₁x₃x₄ + 1.367145631632552x₁x₃² + 1.033775496130484x₁x₂x₅ - 0.21604979631661778x₁x₂x₄ + 0.4656585070383542x₁x₂x₃ - 0.03376515604284483x₁x₂² + 1.3053226444022175x₁²x₅ + 0.3150864757004814x₁²x₄ + 0.20332792384519857x₁²x₃ + 0.6851267708786467x₁²x₂ - 1.4316524929624375x₁³, 0.17465841923724107x₅ - 0.5684870426818737x₄ - 1.476873537820945x₃ + 0.8840324560232733x₂ - 0.7846177697276338x₁ + 0.3261948136407793x₅² - 0.9874171912564897x₄x₅ - 2.1012471134075335x₄² + 0.7178888312301017x₃x₅ + 1.5666638617009905x₃x₄ - 0.5896393648192512x₃² + 1.5958676993741892x₂x₅ - 1.1077974055139557x₂x₄ + 0.8474439067031491x₂x₃ - 0.7211372208040895x₂² + 1.8483976626105263x₁x₅ + 1.252491863183039x₁x₄ - 0.6703645012983762x₁x₃ - 2.3651508237436945x₁x₂ + 0.10752000550238239x₁² - 1.2779262948394172x₅³ - 0.5919326144318967x₄x₅² - 0.16595482948519844x₄²x₅ + 0.8351315623020489x₄³ - 0.5295099930964157x₃x₅² - 0.055508735567571785x₃x₄x₅ - 0.9451793529907557x₃x₄² + 1.1839905752816258x₃²x₅ - 2.252260111887669x₃²x₄ - 0.23194316984399346x₃³ - 0.8038870848104371x₂x₅² + 1.5562999355046818x₂x₄x₅ - 0.008577605149195658x₂x₄² + 0.5239769359307235x₂x₃x₅ - 1.0989850300728015x₂x₃x₄ + 0.4356315397209066x₂x₃² - 1.640196413500204x₂²x₅ - 0.7470593409142018x₂²x₄ - 0.8567226671572151x₂²x₃ - 1.004981267748594x₂³ + 0.6490630226219741x₁x₅² - 0.9397505659142226x₁x₄x₅ + 0.2064893134642144x₁x₄² + 1.7585341114854394x₁x₃x₅ + 0.8132536291367575x₁x₃x₄ - 1.399649855078303x₁x₃² - 0.06737451848718533x₁x₂x₅ + 0.2034234103745902x₁x₂x₄ - 0.21461457349148985x₁x₂x₃ + 1.092450784518916x₁x₂² - 0.8113912767305035x₁²x₅ - 0.3664253896513643x₁²x₄ - 0.0594415619923821x₁²x₃ - 1.2289216364453528x₁²x₂ + 1.3164797685150453x₁³ - 1.289659804648931x₅⁴ + 1.3768441811429883x₄x₅³ - 1.2799934914909301x₄²x₅² - 0.11103428587581218x₄³x₅ + 0.3482709947861187x₄⁴ + 0.3066906313297139x₃x₅³ - 0.11169630605540615x₃x₄x₅² - 0.11473144820923595x₃x₄²x₅ + 1.145990897119241x₃x₄³ - 0.01691950319397965x₃²x₅² + 1.6772506523586828x₃²x₄x₅ + 0.4781783081438507x₃²x₄² + 1.6376376862189772x₃³x₅ + 0.1968400242167226x₃³x₄ - 0.3729439304867335x₃⁴ - 0.15158253687218934x₂x₅³ - 0.9016378175497785x₂x₄x₅² + 1.5616697514730677x₂x₄²x₅ - 0.7799850528785143x₂x₄³ - 0.7408105995856321x₂x₃x₅² + 0.1867564602946366x₂x₃x₄x₅ - 0.894881464
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Number of roots: 108
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PARALLEL
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266.180392 seconds (1.42 M allocations: 98.102 MiB, 0.68% gc time, 3.74% compilation time)
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Number of steps: [82, 51, 63, 72, 97, 71, 47, 41, 60, 58, 49, 99, 69, 43, 107, 45, 50, 50, 67, 66, 44, 94, 56, 200, 41, 49, 79, 40, 50, 82, 51, 61, 82, 77, 40, 47, 73, 53, 84, 64, 51, 40, 52, 48, 79, 61, 51, 77, 55, 62, 63, 48, 71, 49, 42, 66, 88, 36, 75, 77, 63, 63, 64, 68, 53, 49, 63, 43, 53, 52, 31, 40, 71, 70, 59, 35, 71, 59, 44, 36, 46, 61, 61, 71, 36, 43, 200, 32, 41, 83, 92, 69, 53, 36, 45, 98, 36, 35, 58, 51, 46, 55, 67, 69, 41, 79, 38, 87]
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Solutions: [[0.015325295073304228, -0.2307350181482594, -0.05973886372138942, -0.047691776712723226, 0.21699990362774418], [0.20396321500500036, -0.02650896540935046, -0.16900361964852323, 0.37273281965791066, -0.5388151125769999], [0.1363296608249057, -0.002016660315483144, -1.3110047388763966, -0.6059853558575293, 0.8155609535559383], [0.8860604476374917, 0.37710474750351386, -0.020822230424131415, -1.516381430327795, -0.11490750066472036], [0.23521353831594877, -0.15532484000495794, -0.15719071932049172, 0.0920432028467539, -0.2400221878812483], [0.19264162056406495, -0.01943428825830035, -0.1663321986690939, 0.3583163152887011, -0.5720268259910085], [1.1449216072972808, 6.020917404547621, 6.997042950976293, -6.592932437354644, -1.6712452044517834], [-0.15530674425785934, -1.1514641963026602, -0.30476884725616726, 0.7832074198208221, 0.32948763213807214], [-0.38332757456483113, 0.6385521384878572, -0.16269875216937033, 0.31826558154153545, -0.05812051807790336], [4.56485196973028, 4.974239098913587, 12.704151478096595, 20.199376224511937, 29.68739980441616], [0.6028909890272568, 0.06986942594231943, -0.5419966331713428, -1.276914608694608, 0.45202770022112826], [0.005680348871882464, -0.01352268149755705, -0.23134539073644625, 0.23488895200381615, -0.12111089719411822], [0.24190914980894038, 0.0055673004894699965, -0.26967446830384045, -0.7846571965186406, 0.48455997545190255], [0.9640916068399481, 0.5321620079243724, 0.41731761061977557, -1.7414778300771527, -0.2904828560549028], [-0.06460800533472331, -0.19366016922991822, 0.8354317485767842, -0.03377885931517061, 4.891707078337111e-6], [-0.29334061263872596, 0.08723906426368, -0.20518067786127187, 0.14341988628702923, 0.3901824738615479], [-0.2933406126387264, 0.08723906426368032, -0.20518067786127214, 0.14341988628702937, 0.39018247386154825], [-0.07708101111931172, 0.28474160629381207, 0.2666364450452535, -0.1605089725329075, -0.005412134858115639], [0.8860604476374917, 0.3771047475035138, -0.02082223042413152, -1.516381430327795, -0.11490750066472027], [0.00662013679169297, -0.018733567066267644, -0.03621235301373323, 0.01724074890245946, 0.028307216923763805], [0.8794654977371379, 0.3861728560729394, -0.030350493982877973, -1.5134388770144012, -0.10267998839847332], [0.22532297941268417, -0.15151927858145542, -0.192917026134837, 0.09711861833047454, -0.18224814342201173], [0.6107747090635604, -0.36016573296636406, -0.5141637757143421, -1.2159180993705299, 0.6371407121582064], [0.006620136791692969, -0.018733567066267644, -0.03621235301373323, 0.017240748902459465, 0.028307216923763805], [0.2039632150050003, -0.026508965409350445, -0.16900361964852323, 0.37273281965791066, -0.5388151125769999], [0.26313292829329815, 0.01850065011468194, -0.26023047982146097, -0.7797017181815713, 0.4661964247823412], [0.33963810128929434, 0.27948223097489866, -0.5143790437229022, -0.6885865509506705, 0.1696369424075817], [0.13467695820060857, 0.002467407279906915, -1.3118686771648091, -0.6106308398030271, 0.8181265565036017], [0.21853713193915403, -0.007939495733585362, -0.27583151574020043, -0.787936078814944, 0.5045931744515106], [0.8728478292659946, 0.3938962551736172, -0.03993580841786567, -1.5101527707862217, -0.09015255038209678], [-0.4973847749506197, -0.2954595829095797, 0.9866409861914163, 0.6404972997388803, 0.006897624544435495], [-0.02041357257981734, -0.4243643833304431, 0.8573532244412075, -0.4272853173537682, 0.4148114816323774], [0.0011109495966291547, -0.002628405496533837, -0.004675725809090766, 0.0024248930563757105, 0.0028373443726717575], [-19.455186069640856, 30.75084483916074, 10.40509035765073, -14.316086871148503, 0.07903663653345527], [-0.28512491875264756, 0.07627876293360909, -0.2020217589711602, 0.14182243875776804, 0.38172059638830963], [-0.07634477578039879, 0.29404340291815145, 0.2672443010395336, -0.15886903633964453, -0.0012228069728096038], [0.15693817691032116, 1.7978265138754135, 0.15066505998406454, 0.7820159938199066, -1.9657217748527471], [0.6351588433780682, -0.3659578211740819, -0.506771866115484, -1.229676300827184, 0.6355280381775056],
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Norms (lower = better): [0.4032940826943818, 0.36844982042670005, 0.25049260693084363, 4.829171843786351, 0.05951309285700194, 0.3504157336217236, 6.4938925793120115, 3.794742621371542, 0.038488132480715725, 277297.0769894092, 0.06208810972887491, 0.2589651938612198, 1.2291905420682196, 10.45830512811572, 2.9304674800775485, 0.21498320453498798, 0.21498320453498818, 8.084810862568657e-16, 4.829171843786351, 0.05422545936780477, 4.678115504650932, 0.12017788705198361, 2.0484162327065922, 0.05422545936780477, 0.36844982042670005, 1.1635388946776868, 1.616510870087261, 0.2265572799199494, 1.3013041671645083, 4.528273438872985, 4.526779434226081, 4.199799436692471, 0.006240882315028199, 1.943487994414277e6, 0.20293890929996028, 0.022644477572035155, 0.4335460226864268, 2.188359398962105, 4.82917184378635, 0.030638099106616513]
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SINGLE
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1098.606851 seconds (2.05 G allocations: 74.446 GiB, 3.29% gc time, 4.35% compilation time)
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Number of steps: [70, 54, 39, 42, 42, 35, 50, 43, 59, 49, 38, 57, 80, 43, 49, 51, 36, 38, 56, 43, 35, 58, 49, 45, 50, 49, 54, 56, 38, 65, 45, 45, 63, 55, 36, 62, 41, 52, 33, 50, 52, 42, 54, 73, 50, 40, 51, 56, 43, 36, 74, 61, 48, 53, 61, 44, 57, 61, 49, 33, 41, 54, 73, 32, 49, 60, 57, 36, 60, 47, 49, 79, 72, 44, 36, 41, 41, 49, 59, 48, 65, 44, 44, 44, 66, 50, 46, 64, 47, 51, 50, 40, 40, 66, 50, 72, 39, 52, 47, 50, 56, 52, 39, 56, 63, 63, 67, 48]
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Solutions: [[-0.2204540721268737, -0.05076540131936483, -0.2062209265572263, 0.1507262990752071, 0.27530759881415634], [-0.3972037342426072, 0.6522646582774748, -0.1794480500747764, 0.3263213178799672, -0.07348550269630146], [-1.7217381749252565, -0.9083823441416294, -2.047474682852275, 2.7350993536774006, 1.2279068945266955], [-0.1773826372600208, -1.1467604512051337, -0.28487783406565675, 0.741937527353606, 0.3044817959656232], [-0.002199277142331197, 0.006267067579671768, 0.024219273566546105, -0.006408155008637006, -0.030676764117241902], [-0.4132105698402007, 0.6674039681777411, -0.19803037940207954, 0.3360513647635142, -0.0896140074516228], [0.2067841505022853, -0.025036083915450973, -0.18479891675718596, 0.3675129980348763, -0.5827383865210372], [0.8867909680478359, 0.3753349072128901, -0.01741766704651155, -1.5152725052367817, -0.12429693427324255], [-0.000543806842280654, 0.0012948493803431084, 0.002316640278930636, -0.0011947133119484732, -0.001428978052360467], [-0.2220971951278617, -0.04410593199767292, -0.20424827605095697, 0.14893347876394633, 0.28100788372867963], [0.5332667745154932, -0.750731869651354, 0.007749761942657867, -0.6200132437105774, 0.262884561355685], [-0.07816107907929984, 0.2766677536408427, 0.26742020210629386, -0.16314900096485352, -0.009712647280477509], [0.20678415050228535, -0.025036083915451025, -0.18479891675718602, 0.36751299803487636, -0.5827383865210373], [0.2067841505022853, -0.02503608391545098, -0.184798916757186, 0.3675129980348763, -0.5827383865210373], [-0.014775879445120916, -0.24338185206394028, -0.008594013826259213, -0.0820221440955167, 0.25079517042109106], [0.8670774859614031, 0.4170414372700853, -0.013033501184193943, -1.4978341261085415, -0.1932932095608434], [-0.014775879445121006, -0.24338185206394022, -0.008594013826259251, -0.0820221440955166, 0.25079517042109106], [-1.1538979482783323, 1.3798233870320766, 2.165401661568749, -0.6937418962762103, 0.7002635431447856], [-1.1508040682124936, 1.3879528886802706, 2.16603974734874, -0.703943512268444, 0.6919133355854202], [0.3174685831362703, 0.2768373203378575, -0.5118306888863319, -0.6927031802537778, 0.16875296614563481], [0.24182604157604862, -0.26661452073375574, 0.3599281786938042, -0.22987554164000626, -0.10413367860618714], [0.31746858313627024, 0.27683732033785763, -0.5118306888863319, -0.6927031802537778, 0.1687529661456348], [0.5330993429241855, -0.7544477605908615, 0.012809382740397498, -0.618272277176049, 0.2556592022722344], [0.886790968047836, 0.3753349072128899, -0.017417667046511872, -1.515272505236782, -0.12429693427324212], [0.21547193518792515, 0.011226606419438043, -0.2841325111087811, -0.8092748600559315, 0.5033606284175841], [0.11296573790524171, 0.06473102367726433, -1.3241159452123172, -0.6732857184726028, 0.8526592767055375], [0.21119371364842232, 0.02210193435756086, -0.2906050786879867, -0.8234165872030875, 0.504424291020149], [1.1533025381786854, 5.788554712567715, 6.71728234958593, -6.383880744111085, -1.6020046082550103], [-0.012632623284791753, -0.38809476060809217, 0.8397030453457052, -0.43056474607345124, 0.435224298359685], [-0.507988800609811, -0.30378953540041964, 0.985966468990377, 0.6480794243369219, 0.0005284278365085545], [-0.1839700430556452, 0.37212832409486607, 0.9059042720739171, -0.3812644778436948, 0.05715297562670204], [0.01581263132638049, -0.05946462898577055, 0.1484703162047877, -0.45352158866352615, 0.3029498487151808], [-0.001669719878203992, 0.00420004904827778, 0.007905638315748146, -0.003880900940067814, -0.005537985151423266], [-0.002199277142334695, 0.00626706757968518, 0.024219273566556513, -0.006408155008624454, -0.03067676411726426], [-0.0016697198782039922, 0.004200049048277779, 0.007905638315748144, -0.0038809009400678123, -0.005537985151423266], [-0.07790455599204373, 0.27770999777015926, 0.2669756976709282, -0.1624896785044395, -0.00898483553821861], [0.30428175171190996, 0.29425215758533607, -0.5232756570878245, -0.7054719232481128, 0.17514060739624596], [-0.5079888006098111, -0.3037895354004197, 0.985966468990377, 0.6480794243369219, 0.0005284278365085
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Norms (lower = better): [0.018695064680707967, 0.0030870252763671355, 1.8331849179709483, 3.5743000757241816, 0.0661901865574186, 0.049772198856690694, 0.3421870016444437, 4.876444069879239, 0.0031717167471224292, 0.002979815813860404, 0.002926994935975781, 0.023471682075244773, 0.34218700164444377, 0.34218700164444377, 0.4964006262404305, 4.896049450165008, 0.49640062624043063, 29.424043492176388, 29.46413022553525, 1.654583432228886, 1.6351920990930386, 1.6545834322288864, 0.01974272621493219, 4.876444069879236, 1.3351155252052826, 0.11265552118765088, 1.3645423244713828, 8.007734557340232, 3.8908018647194336, 4.56641612550321, 0.7892116915216595, 0.748174564606912, 0.012045155621627801, 0.06619018655745273, 0.012045155621627801, 0.019452558997825345, 1.7435902163573287, 4.566416125503209, 1.743590216357328, 0.002926994935975727, 0.27789426235130354]
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5,5
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% srun --partition=production --time=01:00:00 --nodes=20 -n 40 --pty bash -i
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System: VectorPolynomial{Float64, MultivariatePolynomials.Term{Float64, Monomial{(x₁, x₂, x₃, x₄, x₅), 5}}}[-0.5840525716091104x₅ - 0.11965110032086147x₄ - 1.7427949261605826x₃ + 0.9631880061612056x₂ - 0.8220524425707234x₁, -1.3499758429412263x₅ - 1.551322759446636x₄ + 0.6922329670450358x₃ + 1.8363539255446852x₂ - 0.029006389133301294x₁ - 0.9602345514402014x₅² + 1.3962381264791084x₄x₅ + 0.9352758784063706x₄² + 1.8140698510835727x₃x₅ + 0.12562606945286386x₃x₄ + 0.49453902321082993x₃² - 2.327774026184889x₂x₅ - 0.5520967705507246x₂x₄ - 1.2205263197831175x₂x₃ - 0.288746423094219x₂² - 0.6582202493543543x₁x₅ - 1.0115871034766009x₁x₄ + 2.265449489550396x₁x₃ - 0.020720313441235323x₁x₂ + 0.7740943901621951x₁² + 2.430070449099818x₅³ - 0.1623320577042863x₄x₅² + 0.6722995169026178x₄²x₅ + 0.23906753937821665x₄³ - 0.24036204187952814x₃x₅² + 0.5742594550058747x₃x₄x₅ - 2.160598860754242x₃x₄² - 0.8667563899429932x₃²x₅ - 0.12497040982228409x₃²x₄ + 1.3880288778839915x₃³ - 0.14127325698867843x₂x₅² - 0.49698925599475796x₂x₄x₅ + 1.421683859903367x₂x₄² - 0.12741529800284215x₂x₃x₅ - 1.1227024966607995x₂x₃x₄ + 0.27684756388619536x₂x₃² - 1.9908170093371025x₂²x₅ - 1.2304095134633342x₂²x₄ - 0.41560723950776346x₂²x₃ + 0.107205642064201x₂³ + 0.0866000536903721x₁x₅² + 0.24106263388478888x₁x₄x₅ - 1.0755091884838495x₁x₄² + 0.9197646744170573x₁x₃x₅ + 1.3678127259417283x₁x₃x₄ - 0.04887972334599943x₁x₃² - 1.0898963183103998x₁x₂x₅ + 1.5134145052754715x₁x₂x₄ + 0.3875230096659292x₁x₂x₃ + 0.5566990432729562x₁x₂² + 0.9724824777224542x₁²x₅ - 0.6764335746803426x₁²x₄ + 0.3512517058892494x₁²x₃ - 1.4234567575356774x₁²x₂ + 0.4167000382483324x₁³ - 1.8314957998170358x₅⁴ + 0.5017439525187048x₄x₅³ + 1.2000435955242987x₄²x₅² - 0.590786957422588x₄³x₅ + 0.2018959498439864x₄⁴ - 1.7778786469350703x₃x₅³ - 0.3558615216091819x₃x₄x₅² - 0.32219647382882577x₃x₄²x₅ + 0.14199247502182144x₃x₄³ + 0.9532882029381878x₃²x₅² + 0.3805834192320171x₃²x₄x₅ - 0.44047436191452255x₃²x₄² - 0.4842169392136219x₃³x₅ - 0.11818740760700999x₃³x₄ - 1.3873557580020148x₃⁴ - 0.8814352498910896x₂x₅³ + 0.04351540119167139x₂x₄x₅² + 1.388586443232406x₂x₄²x₅ - 1.164266405456342x₂x₄³ - 0.2727358893440509x₂x₃x₅² + 0.7300941236750842x₂x₃x₄x₅ - 0.7118375061360169x₂x₃x₄² + 0.6462154113072768x₂x₃²x₅ + 0.000529403394530721x₂x₃²x₄ - 0.9304532442202859x₂x₃³ + 1.5759865979967x₂²x₅² + 0.5800655616387392x₂²x₄x₅ - 0.319196520020864x₂²x₄² - 0.3520099038685257x₂²x₃x₅ - 0.6008728878381058x₂²x₃x₄ + 0.6131329445466178x₂²x₃² - 0.16711417378522606x₂³x₅ + 0.1949435995898062x₂³x₄ - 0.10046387874229318x₂³x₃ - 1.0779642768734885x₂⁴ - 0.6336912263474883x₁x₅³ + 1.2805733395533387x₁x₄x₅² - 1.5442921528212386x₁x₄²x₅ + 2.7521003294987634x₁x₄³ - 0.13667622934646295x₁x₃x₅² - 1.286999378624893x₁x₃x₄x₅ - 0.08662472816547626x₁x₃x₄² - 1.4335183325379712x₁x₃²x₅ - 1.480072042535725x₁x₃²x₄ - 0.655707886467409x₁x₃³ - 0.28471663786070667x₁x₂x₅² + 0.11369995861410781x₁x₂x₄x₅ + 0.959431512784208x₁x₂x₄² - 0.17692292652649855x₁x₂x₃x₅ + 1.4129947448114932x₁x₂x₃x₄ + 1.505725642911664x₁x₂x₃² + 0.27661979897325734x₁x₂²x₅ - 1.3267149293530007x₁x₂²x₄ - 0.40209968815249914x₁x₂²x₃ + 0.47748627087097856x₁x₂³ + 0.5710501398811695x₁²x₅² - 0.8261688512056937x₁²x₄x₅ - 0.4971574867441469x₁²x₄² - 1.4231396367160858x₁²x₃x₅ - 1.4417243129521105x₁²x₃x₄ + 0.35204712606890226x₁²x₃² + 0.18030539930434628x₁²x₂x₅ - 0.08325254536464319x₁²x₂x₄ - 0.3827911180207635x₁²x₂x₃ - 0.3095811818649635x₁²x₂² - 0.8654323251263272x₁³x<EFBFBD>
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Number of roots: 144
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PARALLEL
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280.459045 seconds (1.45 M allocations: 106.604 MiB, 0.05% gc time, 2.95% compilation time)
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Number of steps: [60, 48, 31, 68, 80, 55, 65, 33, 80, 66, 40, 92, 43, 78, 36, 47, 68, 55, 38, 44, 63, 55, 38, 62, 45, 66, 40, 38, 66, 49, 44, 51, 43, 45, 56, 56, 43, 47, 50, 50, 63, 73, 35, 58, 47, 59, 51, 39, 59, 71, 53, 45, 43, 67, 68, 74, 58, 36, 74, 59, 67, 49, 46, 39, 56, 49, 42, 77, 37, 42, 61, 49, 53, 36, 49, 50, 77, 54, 44, 43, 36, 73, 104, 102, 89, 61, 73, 89, 47, 44, 41, 81, 54, 39, 74, 40, 56, 50, 53, 67, 39, 50, 78, 47, 40, 50, 53, 33, 67, 38, 52, 39, 99, 41, 44, 44, 44, 70, 42, 86, 59, 33, 31, 38, 65, 64, 54, 38, 57, 53, 74, 54, 61, 67, 68, 74, 70, 59, 49, 58, 65, 43, 56, 41]
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Solutions: [[-0.6036399819369702, -0.7704751511925099, -0.13730730798478327, 0.07480069625887763, 0.002362994533114104], [0.24795749726675717, 0.2892954647982499, -0.1626326284246228, 0.8055997300883789, 0.4481268721694137], [0.8449928465107046, 2.027013006550848, 0.011204386050684908, 0.7874058731071485, 1.8863590069088254], [-0.21886446262027948, -0.11433159633461869, -0.26485866316518814, 0.6411671591196073, 0.82440429452532], [-1.7165356325262415, 3.311900172991939, 1.989087353815979, 2.6605541074665346, 1.3697384839142106], [0.469650529080172, 0.4446496647477253, -0.17351356416990277, 0.6042471197817727, 0.4182663780815166], [0.8429282281873839, -0.8709224345480944, -1.267660674552323, -0.4956410186796922, 1.247800484306327], [0.8435374725608669, 0.5419509376335508, -0.17585314795105045, -1.6041977049768157, 0.5624374309550206], [0.847901264442513, -0.8483729162892658, -1.2485980812614434, -0.49293491648116133, 1.2644869572296906], [-0.3308215355903948, -1.6027042540562362, -0.2597495245708705, -0.559416388228191, -1.2810826976953984], [-0.4702602336094018, 0.9273746479365149, 0.44962846464392675, 0.4640219497429075, 0.768930701130997], [0.23973674082325988, 0.29516520682516034, -0.15313770636639415, 0.800541928299472, 0.4424372826956354], [0.2745487979124597, -1.4119077479732651, -0.7947094585328741, -0.26736801957822837, -0.28609680471123106], [0.844992846510705, 2.027013006550849, 0.011204386050685012, 0.7874058731071484, 1.8863590069088259], [0.15012131133410672, -0.3059316665119051, -0.7111992614014213, 0.8900786187155316, 1.244070623425625], [0.15012131133410672, -0.3059316665119054, -0.7111992614014214, 0.8900786187155311, 1.244070623425625], [-1.8829785926924913, -0.3695754352522634, -0.01322639970115025, 0.21655405222620305, 2.044450605312188], [0.14387315944290568, -0.3115996145716839, -0.7092806522036036, 0.8858176928516035, 1.2468414378355126], [0.8383670222573943, 2.014160232802496, 0.016204233290114226, 0.7835459234013314, 1.8824243269428342], [0.8435374725608672, 0.5419509376335511, -0.17585314795105048, -1.6041977049768168, 0.5624374309550206], [0.2745487979124596, -1.4119077479732653, -0.794709458532874, -0.26736801957822814, -0.2860968047112311], [3.263728619362483, 3.0517513982964646, 0.7654693050057328, -0.4577481067673677, -1.9004321900811387], [-0.8296657933270503, -0.3659444815023064, 0.4316492022894071, 0.27857091200067724, -0.6645809101150321], [0.24976105252641356, 0.28810100300134034, -0.16462248832061993, 0.806637535137107, 0.4493995859556196], [-0.06539251124438979, 0.4111634054944317, 0.5381419014754335, 0.10686490738977646, -0.8267729986687682], [2.0784206902195046, 2.0050517748090444, 0.7982397120781499, 0.07167369694659644, -2.077201785112952], [-0.15570948975906485, -0.2637264115823378, -0.03572912820158839, 1.3724530143145397, -0.32761260052189006], [0.6252225349002833, -0.26525797123070877, -0.11957867051639745, 1.4361939282401084, -1.2146846730190448], [1.0256091493919672, 0.8248157470287759, 0.4572271175223725, 0.33009949545048506, -1.5150979458319491], [0.9670640874927299, -0.15256512095296068, -0.39451442521161073, -1.4342512762341166, -0.18604183984867825], [0.966511476890284, -0.1485176306335, -0.39329478075690516, -1.4360040417232511, -0.1874758775635237], [-0.9952701169843933, -0.4717687495414626, -0.517324420871318, -1.0447421484317883, 2.3988822423242624], [0.41619602716134874, 0.8560807473955804, 0.23714145347321577, 0.22686575436552628, 0.11327147307352509], [6.696747079210285, 4.625992676787212, 0.626230980456017, 2.9762542626707997, -4.292204527725117], [-0.06465253036241217, 0.001199234524940478, 0.04899940971766669, 0.03617027566717525, 0.022230376550828473], [-0.3150725001120548, -0.22590564103709054, 0.16910384635169734, 0.030744479264580207, -0.43430581317360334], [-0.330821535590395, -1.6027042540562368, -0.2597495245708707, -0.5594163882281911, -1.2810826976953986], [1.0503109849571055, 0.838828451838579, 0.4605029559238636, 0.33623432738826536, -1.538162427428692], [0.7766736084614655, 0.41051990508118724, -0.07603168543483424, -1.4031711242173477, 0.0988212
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Norms (lower = better): [3.4099675323448184, 1.8549042863333056, 62.10646683100794, 2.4871375675783742, 553.4296145288289, 2.3345107728573584, 19.091192898898694, 0.1384705325673641, 18.516667916869505, 22.280802411762885, 5.557602066735162, 1.8484249994095832, 10.197798219819427, 62.10646683100801, 9.155755505725672, 9.155755505725667, 0.014609116838419213, 9.14742324045516, 61.04594039765648, 0.13847053256736414, 10.197798219819427, 21.233186926355224, 3.739885876368831, 1.8565946730574667, 0.2628890048794245, 45.6862784201492, 0.0891070364507552, 0.21988084460457002, 0.013761832292288424, 12.56456220545639, 12.554734738641551, 39.525378858379604, 0.0778138645197385, 0.980439758505214, 0.09765752563172034, 0.9571033494396913, 22.2808024117629, 0.05150053574953339, 1.4630713878494739, 0.01604371553665982, 0.05294373487722317, 0.10849472890371128, 1.0129659922915557, 0.06731161705789286, 4.163900007533218, 5.557602066735166, 0.10743219860600793, 0.26288900487941824, 0.26288900487942574, 0.00821976908743545, 16.39873171673646, 0.1074321986060079, 1.1294249596367338, 7.1670883810725305, 37.78519592010073, 0.00979541884136054, 0.17402339547520354, 0.0541107412002756, 1.1691886470766972, 0.16386552755399017, 0.8628949138698943, 1.5994932165795297, 1.3046024948184316, 1.0535468221120623, 0.1074321986060079, 0.01460911683841791, 1.169188647076698, 1.5782563483804097, 0.6979977470558956]
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SINGLE
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1908.437483 seconds (3.65 G allocations: 132.134 GiB, 3.19% gc time, 2.50% compilation time)
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Number of steps: [53, 53, 44, 51, 61, 38, 36, 55, 62, 54, 35, 40, 42, 49, 55, 45, 47, 38, 66, 46, 59, 62, 54, 101, 81, 43, 35, 47, 41, 60, 61, 45, 40, 53, 36, 52, 45, 49, 49, 84, 80, 64, 43, 36, 43, 56, 38, 43, 41, 59, 40, 53, 43, 39, 41, 40, 56, 56, 45, 44, 43, 46, 45, 40, 48, 43, 61, 51, 71, 82, 68, 68, 88, 53, 46, 104, 52, 52, 53, 56, 62, 51, 49, 41, 64, 45, 36, 69, 60, 50, 45, 54, 74, 46, 41, 45, 49, 60, 38, 50, 88, 44, 44, 67, 59, 55, 59, 52, 66, 49, 42, 72, 51, 41, 66, 64, 92, 82, 65, 57, 43, 50, 44, 56, 43, 51, 46, 46, 54, 45, 49, 42, 50, 72, 80, 50, 53, 58, 43, 90, 53, 53, 41, 49]
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Solutions: [[-0.20502340512302603, -0.19923791282357717, -0.01820359115995436, 0.20687832985715493, -0.0673655544412666], [-0.2050234051230262, -0.19923791282357736, -0.01820359115995435, 0.2068783298571549, -0.0673655544412667], [-0.4528907269754142, 0.8950577719877114, 0.4341524529899094, 0.47317028979473974, 0.7535591293375568], [-0.14169417076303348, -0.2578992228714408, -0.052218130136581935, 1.3657492668246893, -0.3566577202088743], [-0.21111373674453618, 0.452422669167223, 0.6473939186133172, 0.04207894661482837, -0.8799947723785126], [0.229840214434319, 0.32467137642561184, -0.17962718706016725, 0.8117608635560429, 0.4283863490494114], [-0.13953132778317576, 0.46182417869804804, 0.6086709764787446, 0.07932380297399144, -0.8780245255553983], [6.9246820388418415, 4.810203274784776, 0.7194813037142147, 2.9969706469770108, -4.464698026476528], [2.544358550296269, -0.5838705072222876, -1.190340360415784, 2.0243215216874932, -1.3704194669233885], [-0.23502791179777524, -0.07054926350943115, -0.30217536156055924, 0.6377675389521376, 0.8368755015396676], [-0.21178203292495068, -0.08627064239360514, -0.2924167838195458, 0.6454710158542952, 0.8313179708885647], [0.49192638110016307, 0.4647030531723561, -0.16563006605489192, 0.5954955473980948, 0.44008233034485816], [-1.8822267189365234, -0.3676515731003475, -0.01529629474343283, 0.22367962434415, 2.0353705284415615], [0.46411989253584274, 0.4282521054775849, -0.23541695250035832, 0.6565671665678701, 0.39387424298760004], [-0.20678065456889141, -0.20493969770737433, -0.01416475381739615, 0.19953100117404488, -0.06434556566367215], [0.2669796173489984, -0.11209772284704049, -0.17820566148395747, -0.188213134873349, -0.029043937308623202], [0.2672543564982311, -0.11153965133106068, -0.17871705109401123, -0.18819339795546405, -0.030757269617039982], [0.5693014767417666, 0.3969113686132507, -0.027852001376554462, -1.425000149670885, 0.2515472907584363], [0.39365480455611473, 0.8309116907104634, 0.5142524248304496, 0.7102664344878307, -0.9046159388180567], [0.24824936270055842, -1.4057662551833814, -0.8272602123124775, -0.27015906811033635, -0.28176969443430144], [-0.40915819117498053, -0.26808189740960053, 0.09454841231754664, -0.4962140190154281, -0.0912564485787406], [0.5568291125182437, 0.4034626595786793, -0.030148390786216443, -1.46536226765711, 0.2633780462405258], [0.448260141800651, 0.8722489569420769, 0.21262476026029664, 0.210064518871206, 0.10573953808207433], [0.3981771889361366, 0.8253865289743805, 0.5083469526833265, 0.7136996686831015, -0.9209125662290282], [0.9713105907138634, -0.15153750923188566, -0.4045181256441155, -1.4046414861263947, -0.1663364223768176], [0.6144016386508679, -0.26642657483230864, -0.13558189536359752, 1.4238484698451368, -1.186887677472595], [0.15199839694483175, -0.29571597554624285, -0.7483629611255816, 0.8675550011116535, 1.2561758024474434], [0.9075307023554138, 0.8058221243787999, 0.4553798743508441, 0.7681070849916287, -1.4990111427095625], [-0.21178203292495057, -0.0862706423936053, -0.2924167838195459, 0.6454710158542953, 0.831317970888565], [6.768178465890287, 4.686099853071606, 0.6550164174223972, 2.9753118178173916, -4.347735471588617], [0.2516735095036005, 0.2876208855663405, -0.16771019410072313, 0.8081744603298071, 0.4506443851279796], [-0.3141187458009582, -0.22486421343015625, 0.16600605263575807, 0.031859505858601776, -0.4335741604360793], [0.6101485144412571, -0.2672987414625437, -0.14287697029291055, 1.418236291071595, -1.1747727181064733], [0.8474429012578564, -0.8645006865685325, -1.2669250199155417, -0.4962800040399308, 1.25282070250837], [0.6890838758131343, 1.3438358304934626, 0.07819637950815657, -0.1183703512431592, 0.9087378071065174], [0.9713105907138636, -0.1515375092318858, -0.40451812564411543, -1.4046414861263947, -0.1663364223768181], [0.849442584872733, -0.8648609143333544, -1.2705557091266129, -0.49724133134188186, 1.2526842879791353], [0.26450785740812444, -1.4202364028581635, -0.8071530123071063, -0.26604375104024597, -0.2868817037946966], [0.20347157191022186, 0.4246929128097963, 0.5019748103067868,
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Norms (lower = better): [0.7147414203164782, 0.7147414203164789, 5.178417501122131, 0.008947013256539658, 0.12149310764289444, 2.0062015406210656, 0.07376794637701109, 20.242804615344802, 18.395929041230367, 2.504410195527316, 2.503550969251777, 2.443141412132003, 0.011918090804734938, 2.4736281130383104, 0.726889850863333, 0.06405209980379077, 0.070181963780283, 2.969188254259388, 1.0715295185800418, 10.273153453342807, 1.4605180209955455, 3.300366546193397, 0.04760843660461148, 1.0222277148165955, 11.837819630001146, 0.023518952394940333, 9.218767899435088, 1.4754327319948315, 2.5035509692517772, 0.5192910553700225, 1.863502082426617, 0.9516101524587772, 0.05969747574761651, 19.12477123358125, 8.648261131567882, 11.837819630001148, 19.276552989294064, 10.410554540486677, 3.933265330904437, 54.52564436495021, 10.273153453342816, 0.07583161660770296, 0.03111530019613479, 10.323508379990995, 53.908354591310065, 5.522249467452036, 3.778668614673745, 0.9597377698904518, 0.07021647920600241, 0.7461050226652141, 0.0584488170327561, 0.7857961215043826, 20.242804615344145, 0.7857961215043824, 11.886208700220308, 11.925633629061265, 21.379615256158342, 0.7268898508633335, 36.44932250560739, 0.00718445712117108, 0.9708344074481797, 0.9191699297629188, 6.528052169618025, 0.1886134169293989, 10.410554540486677, 3.797654541242677, 6.120935006209322, 0.007076827584767622, 7.347019932980779]
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