beta: 0.2
preprocessing time for sampling: 0.007634162902832031
amortized time for sample size  5 is:  5.675601959228517e-05
preprocessing time for sampling: 0.006407022476196289
amortized time for sample size  10 is:  5.2996635437011724e-05
preprocessing time for sampling: 0.006654977798461914
amortized time for sample size  15 is:  5.3323109944661466e-05
preprocessing time for sampling: 0.006485939025878906
amortized time for sample size  20 is:  5.366671085357666e-05
preprocessing time for sampling: 0.006479978561401367
amortized time for sample size  25 is:  5.342826843261718e-05
preprocessing time for sampling: 0.006285905838012695
amortized time for sample size  30 is:  5.275193850199381e-05
preprocessing time for sampling: 0.006247043609619141
amortized time for sample size  35 is:  5.308198928833007e-05
preprocessing time for sampling: 0.006284952163696289
amortized time for sample size  40 is:  5.275034904479981e-05
preprocessing time for sampling: 0.006245851516723633
amortized time for sample size  45 is:  5.2911546495225696e-05
preprocessing time for sampling: 0.0062563419342041016
amortized time for sample size  50 is:  5.279479026794434e-05
preprocessing time for sampling: 0.006234169006347656
amortized time for sample size  55 is:  5.2836764942515966e-05
preprocessing time for sampling: 0.006304025650024414
amortized time for sample size  60 is:  5.2696188290913905e-05
preprocessing time for sampling: 0.0062901973724365234
amortized time for sample size  65 is:  5.282966907207782e-05
preprocessing time for sampling: 0.0062410831451416016
amortized time for sample size  70 is:  5.280838693891254e-05
preprocessing time for sampling: 0.0062558650970458984
amortized time for sample size  75 is:  5.263989766438802e-05
preprocessing time for sampling: 0.006245851516723633
amortized time for sample size  80 is:  5.267852544784546e-05
preprocessing time for sampling: 0.006253242492675781
amortized time for sample size  85 is:  5.285352819106158e-05
preprocessing time for sampling: 0.0062448978424072266
amortized time for sample size  90 is:  5.313547452290852e-05
preprocessing time for sampling: 0.006258964538574219
amortized time for sample size  95 is:  5.271449841951069e-05
preprocessing time for sampling: 0.006246805191040039
amortized time for sample size  100 is:  5.283954143524169e-05
preprocessing time for sampling: 0.00626683235168457
amortized time for sample size  105 is:  5.320396877470472e-05
preprocessing time for sampling: 0.0062711238861083984
amortized time for sample size  110 is:  5.309618603099477e-05
preprocessing time for sampling: 0.006253957748413086
amortized time for sample size  115 is:  5.310858850893767e-05
preprocessing time for sampling: 0.006250143051147461
amortized time for sample size  120 is:  5.299029747645062e-05
preprocessing time for sampling: 0.006246089935302734
amortized time for sample size  125 is:  5.3054103851318364e-05
preprocessing time for sampling: 0.006246089935302734
amortized time for sample size  130 is:  5.294970365671011e-05
preprocessing time for sampling: 0.0062639713287353516
amortized time for sample size  135 is:  5.295587469030309e-05
preprocessing time for sampling: 0.006261110305786133
amortized time for sample size  140 is:  5.304775919233049e-05
preprocessing time for sampling: 0.006719827651977539
amortized time for sample size  145 is:  5.29352385422279e-05
preprocessing time for sampling: 0.006255149841308594
amortized time for sample size  150 is:  5.294400850931803e-05
preprocessing time for sampling: 0.0062427520751953125
amortized time for sample size  155 is:  5.282551242459205e-05
preprocessing time for sampling: 0.006248950958251953
amortized time for sample size  160 is:  5.279245972633362e-05
preprocessing time for sampling: 0.0062558650970458984
amortized time for sample size  165 is:  5.281269189083215e-05
preprocessing time for sampling: 0.006247758865356445
amortized time for sample size  170 is:  5.2991712794584385e-05
preprocessing time for sampling: 0.006258964538574219
amortized time for sample size  175 is:  5.284963335309709e-05
preprocessing time for sampling: 0.00625300407409668
amortized time for sample size  180 is:  5.276140901777479e-05
preprocessing time for sampling: 0.006239414215087891
amortized time for sample size  185 is:  5.279088664699245e-05
preprocessing time for sampling: 0.006236076354980469
amortized time for sample size  190 is:  5.276221978036981e-05
preprocessing time for sampling: 0.006265878677368164
amortized time for sample size  195 is:  5.290002089280349e-05
preprocessing time for sampling: 0.0062482357025146484
amortized time for sample size  200 is:  5.2833688259124755e-05
preprocessing time for sampling: 0.006249904632568359
amortized time for sample size  205 is:  5.3199861107802966e-05
preprocessing time for sampling: 0.006251096725463867
amortized time for sample size  210 is:  5.281396139235724e-05
preprocessing time for sampling: 0.006249904632568359
amortized time for sample size  215 is:  5.27630184972009e-05
preprocessing time for sampling: 0.006255149841308594
amortized time for sample size  220 is:  5.282204801386052e-05
preprocessing time for sampling: 0.00625300407409668
amortized time for sample size  225 is:  5.2775277031792534e-05
preprocessing time for sampling: 0.006265878677368164
amortized time for sample size  230 is:  5.279037226801333e-05
preprocessing time for sampling: 0.006253719329833984
amortized time for sample size  235 is:  5.272058730429792e-05
preprocessing time for sampling: 0.00624394416809082
amortized time for sample size  240 is:  5.2847613890965776e-05
preprocessing time for sampling: 0.006253242492675781
amortized time for sample size  245 is:  5.278170838647958e-05
preprocessing time for sampling: 0.006249904632568359
amortized time for sample size  250 is:  5.276766777038574e-05
*** results for plotting, beta= 0.2 

mean_list= [np.float64(0.37), np.float64(0.53), np.float64(0.4600000000000001), np.float64(0.5399999999999999), np.float64(0.52), np.float64(0.48), np.float64(0.61), np.float64(0.5), np.float64(0.4999999999999999), np.float64(0.55), np.float64(0.58), np.float64(0.5), np.float64(0.47000000000000003), np.float64(0.5599999999999999), np.float64(0.6299999999999999), np.float64(0.6399999999999999), np.float64(0.61), np.float64(0.62), np.float64(0.54), np.float64(0.6699999999999999), np.float64(0.6500000000000001), np.float64(0.62), np.float64(0.5999999999999999), np.float64(0.61), np.float64(0.6200000000000001), np.float64(0.61), np.float64(0.72), np.float64(0.6699999999999999), np.float64(0.54), np.float64(0.62), np.float64(0.51), np.float64(0.6), np.float64(0.73), np.float64(0.57), np.float64(0.64), np.float64(0.63), np.float64(0.64), np.float64(0.66), np.float64(0.61), np.float64(0.67), np.float64(0.63), np.float64(0.6799999999999999), np.float64(0.65), np.float64(0.6599999999999999), np.float64(0.75), np.float64(0.58), np.float64(0.6900000000000001), np.float64(0.63), np.float64(0.5599999999999999), np.float64(0.63)]
std_list= [np.float64(0.21000000000000002), np.float64(0.1345362404707371), np.float64(0.09165151389911677), np.float64(0.19078784028338913), np.float64(0.15362291495737213), np.float64(0.10770329614269006), np.float64(0.13), np.float64(0.15491933384829668), np.float64(0.19493588689617927), np.float64(0.1857417562100671), np.float64(0.15362291495737218), np.float64(0.1732050807568877), np.float64(0.23685438564654024), np.float64(0.17435595774162693), np.float64(0.15524174696260024), np.float64(0.128062484748657), np.float64(0.08306623862918074), np.float64(0.1777638883463118), np.float64(0.142828568570857), np.float64(0.1004987562112089), np.float64(0.1746424919657298), np.float64(0.059999999999999984), np.float64(0.1414213562373095), np.float64(0.06999999999999999), np.float64(0.11661903789690602), np.float64(0.1374772708486752), np.float64(0.1661324772583615), np.float64(0.09), np.float64(0.14282856857085702), np.float64(0.09797958971132709), np.float64(0.17578395831246946), np.float64(0.1341640786499874), np.float64(0.14177446878757827), np.float64(0.17916472867168917), np.float64(0.16248076809271922), np.float64(0.11), np.float64(0.14966629547095767), np.float64(0.11135528725660046), np.float64(0.09433981132056604), np.float64(0.12688577540449522), np.float64(0.16155494421403513), np.float64(0.1077032961426901), np.float64(0.191049731745428), np.float64(0.16248076809271922), np.float64(0.14317821063276356), np.float64(0.14), np.float64(0.08306623862918078), np.float64(0.09), np.float64(0.17435595774162693), np.float64(0.14177446878757824)]
beta: 0.4
preprocessing time for sampling: 0.0062639713287353516
amortized time for sample size  5 is:  5.2894592285156235e-05
preprocessing time for sampling: 0.0062580108642578125
amortized time for sample size  10 is:  5.281043052673341e-05
preprocessing time for sampling: 0.0062448978424072266
amortized time for sample size  15 is:  5.292733510335286e-05
preprocessing time for sampling: 0.006247043609619141
amortized time for sample size  20 is:  5.290460586547852e-05
preprocessing time for sampling: 0.006242036819458008
amortized time for sample size  25 is:  5.2790641784667966e-05
preprocessing time for sampling: 0.006237983703613281
amortized time for sample size  30 is:  5.274971326192221e-05
preprocessing time for sampling: 0.006237983703613281
amortized time for sample size  35 is:  5.286400658743723e-05
preprocessing time for sampling: 0.006250143051147461
amortized time for sample size  40 is:  5.2795946598052986e-05
preprocessing time for sampling: 0.0062372684478759766
amortized time for sample size  45 is:  5.322429868910048e-05
preprocessing time for sampling: 0.00626683235168457
amortized time for sample size  50 is:  5.2792978286743164e-05
preprocessing time for sampling: 0.006239891052246094
amortized time for sample size  55 is:  5.2876559170809665e-05
preprocessing time for sampling: 0.006302833557128906
amortized time for sample size  60 is:  5.3002675374348954e-05
preprocessing time for sampling: 0.00627899169921875
amortized time for sample size  65 is:  5.3002174084003165e-05
preprocessing time for sampling: 0.006273984909057617
amortized time for sample size  70 is:  5.282623427254813e-05
preprocessing time for sampling: 0.0062482357025146484
amortized time for sample size  75 is:  5.290044148763021e-05
preprocessing time for sampling: 0.0062389373779296875
amortized time for sample size  80 is:  5.2758008241653445e-05
preprocessing time for sampling: 0.0062367916107177734
amortized time for sample size  85 is:  5.282026178696576e-05
preprocessing time for sampling: 0.006241798400878906
amortized time for sample size  90 is:  5.274128913879394e-05
preprocessing time for sampling: 0.00625157356262207
amortized time for sample size  95 is:  5.2725691544382205e-05
preprocessing time for sampling: 0.006240129470825195
amortized time for sample size  100 is:  5.32240629196167e-05
preprocessing time for sampling: 0.006250143051147461
amortized time for sample size  105 is:  5.3150449480329236e-05
preprocessing time for sampling: 0.006266117095947266
amortized time for sample size  110 is:  5.3029493852095174e-05
preprocessing time for sampling: 0.006276130676269531
amortized time for sample size  115 is:  5.2902325339939284e-05
preprocessing time for sampling: 0.006247997283935547
amortized time for sample size  120 is:  5.269747972488403e-05
preprocessing time for sampling: 0.006253719329833984
amortized time for sample size  125 is:  5.2651042938232425e-05
preprocessing time for sampling: 0.006245136260986328
amortized time for sample size  130 is:  5.352170650775615e-05
preprocessing time for sampling: 0.006263017654418945
amortized time for sample size  135 is:  5.288494957817924e-05
preprocessing time for sampling: 0.006258964538574219
amortized time for sample size  140 is:  5.287788595472064e-05
preprocessing time for sampling: 0.006472349166870117
amortized time for sample size  145 is:  5.3167425352951565e-05
preprocessing time for sampling: 0.006256818771362305
amortized time for sample size  150 is:  5.2767054239908854e-05
preprocessing time for sampling: 0.006257295608520508
amortized time for sample size  155 is:  5.281649866411762e-05
preprocessing time for sampling: 0.006246089935302734
amortized time for sample size  160 is:  5.281989276409149e-05
preprocessing time for sampling: 0.00624394416809082
amortized time for sample size  165 is:  5.278993375373608e-05
preprocessing time for sampling: 0.006245851516723633
amortized time for sample size  170 is:  5.2954267053043146e-05
preprocessing time for sampling: 0.006265163421630859
amortized time for sample size  175 is:  5.2934210641043526e-05
preprocessing time for sampling: 0.006246805191040039
amortized time for sample size  180 is:  5.2850365638732925e-05
preprocessing time for sampling: 0.006264686584472656
amortized time for sample size  185 is:  5.29106887611183e-05
preprocessing time for sampling: 0.00625300407409668
amortized time for sample size  190 is:  5.289068974946675e-05
preprocessing time for sampling: 0.006249904632568359
amortized time for sample size  195 is:  5.286953999445989e-05
preprocessing time for sampling: 0.00624394416809082
amortized time for sample size  200 is:  5.2893865108489995e-05
preprocessing time for sampling: 0.006248950958251953
amortized time for sample size  205 is:  5.279568928044016e-05
preprocessing time for sampling: 0.006248950958251953
amortized time for sample size  210 is:  5.2739756447928294e-05
preprocessing time for sampling: 0.00623321533203125
amortized time for sample size  215 is:  5.280362728030182e-05
preprocessing time for sampling: 0.006261110305786133
amortized time for sample size  220 is:  5.3171678022904826e-05
preprocessing time for sampling: 0.006256818771362305
amortized time for sample size  225 is:  5.281382666693793e-05
preprocessing time for sampling: 0.006257295608520508
amortized time for sample size  230 is:  5.282366794088613e-05
preprocessing time for sampling: 0.0062389373779296875
amortized time for sample size  235 is:  5.279171720464179e-05
preprocessing time for sampling: 0.006256103515625
amortized time for sample size  240 is:  5.282775561014811e-05
preprocessing time for sampling: 0.006242036819458008
amortized time for sample size  245 is:  5.273743065036073e-05
preprocessing time for sampling: 0.006243228912353516
amortized time for sample size  250 is:  5.2802448272705075e-05
*** results for plotting, beta= 0.4 

mean_list= [np.float64(0.6100000000000001), np.float64(0.76), np.float64(0.7899999999999999), np.float64(0.72), np.float64(0.75), np.float64(0.76), np.float64(0.8200000000000001), np.float64(0.8099999999999999), np.float64(0.8400000000000001), np.float64(0.85), np.float64(0.85), np.float64(0.9), np.float64(0.9400000000000001), np.float64(0.8800000000000001), np.float64(0.93), np.float64(0.89), np.float64(0.8699999999999999), np.float64(0.85), np.float64(0.9200000000000002), np.float64(0.93), np.float64(0.9), np.float64(0.9200000000000002), np.float64(0.9099999999999999), np.float64(0.89), np.float64(0.93), np.float64(0.95), np.float64(0.95), np.float64(0.9400000000000001), np.float64(0.9199999999999999), np.float64(0.9200000000000002), np.float64(0.93), np.float64(0.86), np.float64(0.93), np.float64(0.97), np.float64(0.9000000000000001), np.float64(0.95), np.float64(0.99), np.float64(0.96), np.float64(0.9400000000000001), np.float64(0.96), np.float64(0.95), np.float64(0.95), np.float64(0.95), np.float64(0.9400000000000001), np.float64(0.96), np.float64(0.9700000000000001), np.float64(0.93), np.float64(0.96), np.float64(0.9400000000000001), np.float64(0.96)]
std_list= [np.float64(0.13), np.float64(0.08000000000000003), np.float64(0.11357816691600547), np.float64(0.12489995996796799), np.float64(0.11180339887498951), np.float64(0.09165151389911683), np.float64(0.1077032961426901), np.float64(0.1374772708486752), np.float64(0.09165151389911681), np.float64(0.09219544457292887), np.float64(0.10246950765959599), np.float64(0.11832159566199232), np.float64(0.06633249580710798), np.float64(0.14696938456699069), np.float64(0.06403124237432847), np.float64(0.13), np.float64(0.11000000000000001), np.float64(0.12041594578792296), np.float64(0.0748331477354788), np.float64(0.07810249675906653), np.float64(0.1), np.float64(0.059999999999999984), np.float64(0.05385164807134503), np.float64(0.06999999999999999), np.float64(0.07810249675906653), np.float64(0.04999999999999999), np.float64(0.04999999999999999), np.float64(0.07999999999999999), np.float64(0.0748331477354788), np.float64(0.08717797887081348), np.float64(0.1004987562112089), np.float64(0.09165151389911681), np.float64(0.07810249675906653), np.float64(0.06403124237432847), np.float64(0.08944271909999157), np.float64(0.04999999999999999), np.float64(0.029999999999999992), np.float64(0.06633249580710798), np.float64(0.06633249580710798), np.float64(0.06633249580710798), np.float64(0.04999999999999999), np.float64(0.06708203932499368), np.float64(0.06708203932499368), np.float64(0.07999999999999999), np.float64(0.04898979485566356), np.float64(0.06403124237432847), np.float64(0.06403124237432847), np.float64(0.06633249580710798), np.float64(0.07999999999999999), np.float64(0.04898979485566356)]
beta: 0.6
preprocessing time for sampling: 0.0062580108642578125
amortized time for sample size  5 is:  5.2811145782470696e-05
preprocessing time for sampling: 0.006256103515625
amortized time for sample size  10 is:  5.278158187866212e-05
preprocessing time for sampling: 0.006253242492675781
amortized time for sample size  15 is:  5.2768548329671226e-05
preprocessing time for sampling: 0.006246805191040039
amortized time for sample size  20 is:  5.2833437919616694e-05
preprocessing time for sampling: 0.006252765655517578
amortized time for sample size  25 is:  5.275535583496095e-05
preprocessing time for sampling: 0.006258964538574219
amortized time for sample size  30 is:  5.269241333007812e-05
preprocessing time for sampling: 0.006253957748413086
amortized time for sample size  35 is:  5.2694048200334824e-05
preprocessing time for sampling: 0.006247043609619141
amortized time for sample size  40 is:  5.274176597595214e-05
preprocessing time for sampling: 0.006250858306884766
amortized time for sample size  45 is:  5.303319295247396e-05
preprocessing time for sampling: 0.006273984909057617
amortized time for sample size  50 is:  5.2834081649780276e-05
preprocessing time for sampling: 0.006263017654418945
amortized time for sample size  55 is:  5.2823023362593224e-05
preprocessing time for sampling: 0.006304025650024414
amortized time for sample size  60 is:  5.295491218566894e-05
preprocessing time for sampling: 0.006310939788818359
amortized time for sample size  65 is:  5.295052895179162e-05
preprocessing time for sampling: 0.006248950958251953
amortized time for sample size  70 is:  5.272909573146274e-05
preprocessing time for sampling: 0.006250858306884766
amortized time for sample size  75 is:  5.290988286336263e-05
preprocessing time for sampling: 0.006256818771362305
amortized time for sample size  80 is:  5.279269814491271e-05
preprocessing time for sampling: 0.006250858306884766
amortized time for sample size  85 is:  5.272618462057675e-05
preprocessing time for sampling: 0.006254673004150391
amortized time for sample size  90 is:  5.2808947033352326e-05
preprocessing time for sampling: 0.0062639713287353516
amortized time for sample size  95 is:  5.2711863266794295e-05
preprocessing time for sampling: 0.0062541961669921875
amortized time for sample size  100 is:  5.269224643707275e-05
preprocessing time for sampling: 0.006251096725463867
amortized time for sample size  105 is:  5.315764745076497e-05
preprocessing time for sampling: 0.006505012512207031
amortized time for sample size  110 is:  5.293919823386453e-05
preprocessing time for sampling: 0.006271839141845703
amortized time for sample size  115 is:  5.2937010060185966e-05
preprocessing time for sampling: 0.006242036819458008
amortized time for sample size  120 is:  5.34762740135193e-05
preprocessing time for sampling: 0.006265878677368164
amortized time for sample size  125 is:  5.291189193725586e-05
preprocessing time for sampling: 0.006247043609619141
amortized time for sample size  130 is:  5.2867009089543267e-05
preprocessing time for sampling: 0.006263256072998047
amortized time for sample size  135 is:  5.2785255290843834e-05
preprocessing time for sampling: 0.006246805191040039
amortized time for sample size  140 is:  5.271133354731969e-05
preprocessing time for sampling: 0.006265163421630859
amortized time for sample size  145 is:  5.2910163484770684e-05
preprocessing time for sampling: 0.006246805191040039
amortized time for sample size  150 is:  5.272752443949381e-05
preprocessing time for sampling: 0.006251096725463867
amortized time for sample size  155 is:  5.2918341852003536e-05
preprocessing time for sampling: 0.006249904632568359
amortized time for sample size  160 is:  5.284617841243745e-05
preprocessing time for sampling: 0.006258964538574219
amortized time for sample size  165 is:  5.262958642208214e-05
preprocessing time for sampling: 0.006255149841308594
amortized time for sample size  170 is:  5.2730714573579675e-05
preprocessing time for sampling: 0.006251811981201172
amortized time for sample size  175 is:  5.2686132703508653e-05
preprocessing time for sampling: 0.006253957748413086
amortized time for sample size  180 is:  5.274714363945855e-05
preprocessing time for sampling: 0.0062601566314697266
amortized time for sample size  185 is:  5.281700959076753e-05
preprocessing time for sampling: 0.006249904632568359
amortized time for sample size  190 is:  5.269783421566611e-05
preprocessing time for sampling: 0.006243228912353516
amortized time for sample size  195 is:  5.283645483163687e-05
preprocessing time for sampling: 0.006264925003051758
amortized time for sample size  200 is:  5.276867151260376e-05
preprocessing time for sampling: 0.006267070770263672
amortized time for sample size  205 is:  5.27126265735161e-05
preprocessing time for sampling: 0.006266117095947266
amortized time for sample size  210 is:  5.270858038039435e-05
preprocessing time for sampling: 0.00625300407409668
amortized time for sample size  215 is:  5.283456624940385e-05
preprocessing time for sampling: 0.006243228912353516
amortized time for sample size  220 is:  5.2781636064702815e-05
preprocessing time for sampling: 0.006250858306884766
amortized time for sample size  225 is:  5.2727709876166454e-05
preprocessing time for sampling: 0.0062520503997802734
amortized time for sample size  230 is:  5.2711466084355895e-05
preprocessing time for sampling: 0.006246805191040039
amortized time for sample size  235 is:  5.2706961936139054e-05
preprocessing time for sampling: 0.0062482357025146484
amortized time for sample size  240 is:  5.291758974393208e-05
preprocessing time for sampling: 0.0062520503997802734
amortized time for sample size  245 is:  5.273547464487503e-05
preprocessing time for sampling: 0.006259918212890625
amortized time for sample size  250 is:  5.278163909912109e-05
*** results for plotting, beta= 0.6 

mean_list= [np.float64(0.8099999999999999), np.float64(0.9100000000000001), np.float64(0.8399999999999999), np.float64(0.96), np.float64(0.9), np.float64(0.95), np.float64(0.9200000000000002), np.float64(0.9600000000000002), np.float64(0.9400000000000001), np.float64(0.96), np.float64(0.93), np.float64(0.9700000000000001), np.float64(0.97), np.float64(0.9800000000000001), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(0.9800000000000001), np.float64(1.0), np.float64(1.0), np.float64(0.99), np.float64(0.9800000000000001), np.float64(0.97), np.float64(0.9800000000000001), np.float64(0.99), np.float64(0.99), np.float64(1.0), np.float64(1.0), np.float64(0.9800000000000001), np.float64(0.99), np.float64(1.0), np.float64(1.0), np.float64(0.99), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(0.9800000000000001), np.float64(0.99), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(0.99), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0)]
std_list= [np.float64(0.12206555615733705), np.float64(0.08306623862918074), np.float64(0.10198039027185571), np.float64(0.04898979485566356), np.float64(0.1), np.float64(0.09219544457292887), np.float64(0.07483314773547882), np.float64(0.06633249580710798), np.float64(0.06633249580710798), np.float64(0.06633249580710798), np.float64(0.09), np.float64(0.04582575694955839), np.float64(0.04582575694955839), np.float64(0.039999999999999994), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.039999999999999994), np.float64(0.0), np.float64(0.0), np.float64(0.029999999999999992), np.float64(0.039999999999999994), np.float64(0.04582575694955839), np.float64(0.039999999999999994), np.float64(0.029999999999999992), np.float64(0.029999999999999992), np.float64(0.0), np.float64(0.0), np.float64(0.039999999999999994), np.float64(0.029999999999999992), np.float64(0.0), np.float64(0.0), np.float64(0.029999999999999992), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.039999999999999994), np.float64(0.029999999999999992), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.029999999999999992), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0)]
beta: 0.8
preprocessing time for sampling: 0.00624394416809082
amortized time for sample size  5 is:  5.2871227264404306e-05
preprocessing time for sampling: 0.0062618255615234375
amortized time for sample size  10 is:  5.334734916687012e-05
preprocessing time for sampling: 0.006257772445678711
amortized time for sample size  15 is:  5.2692572275797534e-05
preprocessing time for sampling: 0.006258249282836914
amortized time for sample size  20 is:  5.303740501403809e-05
preprocessing time for sampling: 0.006275177001953125
amortized time for sample size  25 is:  5.269393920898438e-05
preprocessing time for sampling: 0.0062601566314697266
amortized time for sample size  30 is:  5.26278018951416e-05
preprocessing time for sampling: 0.006253242492675781
amortized time for sample size  35 is:  5.2717004503522606e-05
preprocessing time for sampling: 0.0062639713287353516
amortized time for sample size  40 is:  5.268675088882445e-05
preprocessing time for sampling: 0.00625920295715332
amortized time for sample size  45 is:  5.308278401692708e-05
preprocessing time for sampling: 0.006269931793212891
amortized time for sample size  50 is:  5.277299880981446e-05
preprocessing time for sampling: 0.0062520503997802734
amortized time for sample size  55 is:  5.273433165116744e-05
preprocessing time for sampling: 0.006289958953857422
amortized time for sample size  60 is:  5.2927255630493156e-05
preprocessing time for sampling: 0.006312131881713867
amortized time for sample size  65 is:  5.292111176710863e-05
preprocessing time for sampling: 0.006248950958251953
amortized time for sample size  70 is:  5.2781343460083015e-05
preprocessing time for sampling: 0.006270170211791992
amortized time for sample size  75 is:  5.2723821004231786e-05
preprocessing time for sampling: 0.006251096725463867
amortized time for sample size  80 is:  5.271011590957642e-05
preprocessing time for sampling: 0.006242036819458008
amortized time for sample size  85 is:  5.269420848173254e-05
preprocessing time for sampling: 0.006242990493774414
amortized time for sample size  90 is:  5.264679590861003e-05
preprocessing time for sampling: 0.006242036819458008
amortized time for sample size  95 is:  5.299199254889238e-05
preprocessing time for sampling: 0.006578922271728516
amortized time for sample size  100 is:  5.310959815979003e-05
preprocessing time for sampling: 0.006254911422729492
amortized time for sample size  105 is:  5.4267792474655885e-05
preprocessing time for sampling: 0.00625300407409668
amortized time for sample size  110 is:  5.3040894595059476e-05
preprocessing time for sampling: 0.006256103515625
amortized time for sample size  115 is:  5.300376726233441e-05
preprocessing time for sampling: 0.006244182586669922
amortized time for sample size  120 is:  5.325218041737874e-05
preprocessing time for sampling: 0.006268978118896484
amortized time for sample size  125 is:  5.269966125488281e-05
preprocessing time for sampling: 0.006304025650024414
amortized time for sample size  130 is:  5.291557312011719e-05
preprocessing time for sampling: 0.006263017654418945
amortized time for sample size  135 is:  5.323528360437464e-05
preprocessing time for sampling: 0.0062901973724365234
amortized time for sample size  140 is:  5.291652679443359e-05
preprocessing time for sampling: 0.0062711238861083984
amortized time for sample size  145 is:  5.3069246226343625e-05
preprocessing time for sampling: 0.006262063980102539
amortized time for sample size  150 is:  5.2769851684570304e-05
preprocessing time for sampling: 0.006262063980102539
amortized time for sample size  155 is:  5.281605259064705e-05
preprocessing time for sampling: 0.006254911422729492
amortized time for sample size  160 is:  5.28031587600708e-05
preprocessing time for sampling: 0.0062541961669921875
amortized time for sample size  165 is:  5.2899606300122815e-05
preprocessing time for sampling: 0.006253719329833984
amortized time for sample size  170 is:  5.286321920507095e-05
preprocessing time for sampling: 0.00625920295715332
amortized time for sample size  175 is:  5.285156794956752e-05
preprocessing time for sampling: 0.006251096725463867
amortized time for sample size  180 is:  5.2807927131652834e-05
preprocessing time for sampling: 0.006258249282836914
amortized time for sample size  185 is:  5.2821533100025076e-05
preprocessing time for sampling: 0.006278038024902344
amortized time for sample size  190 is:  5.281378093518709e-05
preprocessing time for sampling: 0.006262063980102539
amortized time for sample size  195 is:  5.2828324146759804e-05
preprocessing time for sampling: 0.0062558650970458984
amortized time for sample size  200 is:  5.2796721458435054e-05
preprocessing time for sampling: 0.006253957748413086
amortized time for sample size  205 is:  5.275368108981993e-05
preprocessing time for sampling: 0.006242990493774414
amortized time for sample size  210 is:  5.275277864365352e-05
preprocessing time for sampling: 0.006250858306884766
amortized time for sample size  215 is:  5.277395248413086e-05
preprocessing time for sampling: 0.006252765655517578
amortized time for sample size  220 is:  5.29214468869296e-05
preprocessing time for sampling: 0.006271839141845703
amortized time for sample size  225 is:  5.326255162556967e-05
preprocessing time for sampling: 0.006266117095947266
amortized time for sample size  230 is:  5.277524823727815e-05
preprocessing time for sampling: 0.006257057189941406
amortized time for sample size  235 is:  5.278089198660343e-05
preprocessing time for sampling: 0.00626683235168457
amortized time for sample size  240 is:  5.284911394119263e-05
preprocessing time for sampling: 0.006272077560424805
amortized time for sample size  245 is:  5.27878002244599e-05
preprocessing time for sampling: 0.006264925003051758
amortized time for sample size  250 is:  5.274373054504395e-05
*** results for plotting, beta= 0.8 

mean_list= [np.float64(0.8800000000000001), np.float64(0.93), np.float64(0.93), np.float64(0.97), np.float64(0.96), np.float64(0.9800000000000001), np.float64(0.99), np.float64(0.99), np.float64(1.0), np.float64(0.9800000000000001), np.float64(0.99), np.float64(0.99), np.float64(1.0), np.float64(0.99), np.float64(0.99), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0)]
std_list= [np.float64(0.09797958971132713), np.float64(0.07810249675906653), np.float64(0.07810249675906653), np.float64(0.04582575694955839), np.float64(0.04898979485566355), np.float64(0.039999999999999994), np.float64(0.029999999999999992), np.float64(0.029999999999999992), np.float64(0.0), np.float64(0.039999999999999994), np.float64(0.029999999999999992), np.float64(0.029999999999999992), np.float64(0.0), np.float64(0.029999999999999992), np.float64(0.029999999999999992), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0)]
beta: 1
preprocessing time for sampling: 0.007265806198120117
amortized time for sample size  5 is:  5.848121643066407e-05
preprocessing time for sampling: 0.007244110107421875
amortized time for sample size  10 is:  5.833268165588379e-05
preprocessing time for sampling: 0.007238149642944336
amortized time for sample size  15 is:  5.854988098144531e-05
preprocessing time for sampling: 0.00727391242980957
amortized time for sample size  20 is:  5.836498737335204e-05
preprocessing time for sampling: 0.007244110107421875
amortized time for sample size  25 is:  5.8328819274902336e-05
preprocessing time for sampling: 0.007246971130371094
amortized time for sample size  30 is:  5.833896001180013e-05
preprocessing time for sampling: 0.007241964340209961
amortized time for sample size  35 is:  5.839531762259346e-05
preprocessing time for sampling: 0.007248878479003906
amortized time for sample size  40 is:  5.82382082939148e-05
preprocessing time for sampling: 0.007243156433105469
amortized time for sample size  45 is:  5.8723449707031244e-05
preprocessing time for sampling: 0.007254123687744141
amortized time for sample size  50 is:  5.826740264892579e-05
preprocessing time for sampling: 0.007292747497558594
amortized time for sample size  55 is:  5.8348959142511546e-05
preprocessing time for sampling: 0.007235050201416016
amortized time for sample size  60 is:  5.855202674865723e-05
preprocessing time for sampling: 0.007224082946777344
amortized time for sample size  65 is:  5.858626732459435e-05
preprocessing time for sampling: 0.007265806198120117
amortized time for sample size  70 is:  5.850342341831753e-05
preprocessing time for sampling: 0.007575035095214844
amortized time for sample size  75 is:  6.046527226765949e-05
preprocessing time for sampling: 0.00734400749206543
amortized time for sample size  80 is:  5.9429377317428586e-05
preprocessing time for sampling: 0.007386207580566406
amortized time for sample size  85 is:  5.935983096852023e-05
preprocessing time for sampling: 0.007381916046142578
amortized time for sample size  90 is:  5.927046140034994e-05
preprocessing time for sampling: 0.007380008697509766
amortized time for sample size  95 is:  5.919428875571803e-05
preprocessing time for sampling: 0.007380008697509766
amortized time for sample size  100 is:  5.90961217880249e-05
preprocessing time for sampling: 0.007257223129272461
amortized time for sample size  105 is:  5.8425994146437864e-05
preprocessing time for sampling: 0.007247209548950195
amortized time for sample size  110 is:  5.86906996640292e-05
preprocessing time for sampling: 0.007258892059326172
amortized time for sample size  115 is:  5.856312876162323e-05
preprocessing time for sampling: 0.007261753082275391
amortized time for sample size  120 is:  5.8386842409769694e-05
preprocessing time for sampling: 0.00724482536315918
amortized time for sample size  125 is:  5.8449268341064445e-05
preprocessing time for sampling: 0.007256031036376953
amortized time for sample size  130 is:  5.832088910616361e-05
preprocessing time for sampling: 0.007236957550048828
amortized time for sample size  135 is:  5.842984164202654e-05
preprocessing time for sampling: 0.007248878479003906
amortized time for sample size  140 is:  5.839715685163225e-05
preprocessing time for sampling: 0.007241964340209961
amortized time for sample size  145 is:  5.8333281812996704e-05
preprocessing time for sampling: 0.007256984710693359
amortized time for sample size  150 is:  5.826072692871094e-05
preprocessing time for sampling: 0.007261991500854492
amortized time for sample size  155 is:  5.8169780238982166e-05
preprocessing time for sampling: 0.007247209548950195
amortized time for sample size  160 is:  5.822752416133881e-05
preprocessing time for sampling: 0.007255077362060547
amortized time for sample size  165 is:  5.8333064570571436e-05
preprocessing time for sampling: 0.007262229919433594
amortized time for sample size  170 is:  5.83361457375919e-05
preprocessing time for sampling: 0.007258176803588867
amortized time for sample size  175 is:  5.825823375156948e-05
preprocessing time for sampling: 0.007249116897583008
amortized time for sample size  180 is:  5.835684140523274e-05
preprocessing time for sampling: 0.00725865364074707
amortized time for sample size  185 is:  5.827911480053051e-05
preprocessing time for sampling: 0.007247209548950195
amortized time for sample size  190 is:  5.836137972379985e-05
preprocessing time for sampling: 0.0072460174560546875
amortized time for sample size  195 is:  5.826986753023588e-05
preprocessing time for sampling: 0.007256031036376953
amortized time for sample size  200 is:  5.834451913833618e-05
preprocessing time for sampling: 0.007241964340209961
amortized time for sample size  205 is:  5.8416680591862386e-05
preprocessing time for sampling: 0.007254123687744141
amortized time for sample size  210 is:  5.854863212222145e-05
preprocessing time for sampling: 0.007275104522705078
amortized time for sample size  215 is:  5.8195036511088526e-05
preprocessing time for sampling: 0.007252931594848633
amortized time for sample size  220 is:  5.818900195035067e-05
preprocessing time for sampling: 0.0072329044342041016
amortized time for sample size  225 is:  5.834841198391385e-05
preprocessing time for sampling: 0.0072269439697265625
amortized time for sample size  230 is:  5.911835380222486e-05
preprocessing time for sampling: 0.0073850154876708984
amortized time for sample size  235 is:  5.9321241175874746e-05
preprocessing time for sampling: 0.007380962371826172
amortized time for sample size  240 is:  5.9386670589447026e-05
preprocessing time for sampling: 0.007396221160888672
amortized time for sample size  245 is:  5.8616355973847054e-05
preprocessing time for sampling: 0.007252931594848633
amortized time for sample size  250 is:  5.851423263549806e-05
*** results for plotting, beta= 1 

mean_list= [np.float64(0.9), np.float64(0.96), np.float64(0.95), np.float64(0.97), np.float64(0.99), np.float64(0.99), np.float64(0.99), np.float64(0.99), np.float64(1.0), np.float64(0.99), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0)]
std_list= [np.float64(0.09999999999999999), np.float64(0.06633249580710798), np.float64(0.10246950765959599), np.float64(0.04582575694955839), np.float64(0.029999999999999992), np.float64(0.029999999999999992), np.float64(0.029999999999999992), np.float64(0.029999999999999992), np.float64(0.0), np.float64(0.029999999999999992), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0)]
beta: 1.2
preprocessing time for sampling: 0.006286144256591797
amortized time for sample size  5 is:  5.280780792236329e-05
preprocessing time for sampling: 0.006279706954956055
amortized time for sample size  10 is:  5.267643928527833e-05
preprocessing time for sampling: 0.006281137466430664
amortized time for sample size  15 is:  5.319531758626302e-05
preprocessing time for sampling: 0.006308794021606445
amortized time for sample size  20 is:  5.3454279899597166e-05
preprocessing time for sampling: 0.006399869918823242
amortized time for sample size  25 is:  5.369520187377929e-05
preprocessing time for sampling: 0.006395101547241211
amortized time for sample size  30 is:  5.367263158162435e-05
preprocessing time for sampling: 0.006398916244506836
amortized time for sample size  35 is:  5.368723188127791e-05
preprocessing time for sampling: 0.006396055221557617
amortized time for sample size  40 is:  5.364692211151124e-05
preprocessing time for sampling: 0.006402015686035156
amortized time for sample size  45 is:  5.352073245578343e-05
preprocessing time for sampling: 0.0063991546630859375
amortized time for sample size  50 is:  5.3540897369384766e-05
preprocessing time for sampling: 0.0064051151275634766
amortized time for sample size  55 is:  5.358557267622514e-05
preprocessing time for sampling: 0.006390094757080078
amortized time for sample size  60 is:  5.387532711029052e-05
preprocessing time for sampling: 0.006394147872924805
amortized time for sample size  65 is:  5.3445045764629656e-05
preprocessing time for sampling: 0.006279945373535156
amortized time for sample size  70 is:  5.3126846040998184e-05
preprocessing time for sampling: 0.006301164627075195
amortized time for sample size  75 is:  5.349283218383788e-05
preprocessing time for sampling: 0.006409883499145508
amortized time for sample size  80 is:  5.360925197601317e-05
preprocessing time for sampling: 0.006411075592041016
amortized time for sample size  85 is:  5.358199512257295e-05
preprocessing time for sampling: 0.0063931941986083984
amortized time for sample size  90 is:  5.359350310431586e-05
preprocessing time for sampling: 0.0064029693603515625
amortized time for sample size  95 is:  5.3589544798198495e-05
preprocessing time for sampling: 0.006411075592041016
amortized time for sample size  100 is:  5.367641448974611e-05
preprocessing time for sampling: 0.006392955780029297
amortized time for sample size  105 is:  5.392135892595564e-05
preprocessing time for sampling: 0.00638890266418457
amortized time for sample size  110 is:  5.387958613308994e-05
preprocessing time for sampling: 0.0063931941986083984
amortized time for sample size  115 is:  5.4955337358557666e-05
preprocessing time for sampling: 0.00640106201171875
amortized time for sample size  120 is:  5.38477897644043e-05
preprocessing time for sampling: 0.006414175033569336
amortized time for sample size  125 is:  5.540689468383789e-05
preprocessing time for sampling: 0.006666898727416992
amortized time for sample size  130 is:  5.460792321425217e-05
preprocessing time for sampling: 0.006407976150512695
amortized time for sample size  135 is:  5.377476303665725e-05
preprocessing time for sampling: 0.006325244903564453
amortized time for sample size  140 is:  5.360453469412667e-05
preprocessing time for sampling: 0.006412029266357422
amortized time for sample size  145 is:  5.367361266037512e-05
preprocessing time for sampling: 0.006426811218261719
amortized time for sample size  150 is:  5.358869234720865e-05
preprocessing time for sampling: 0.0064198970794677734
amortized time for sample size  155 is:  5.3697247659006426e-05
preprocessing time for sampling: 0.00640106201171875
amortized time for sample size  160 is:  5.344657599925995e-05
preprocessing time for sampling: 0.006287097930908203
amortized time for sample size  165 is:  5.348578366366301e-05
preprocessing time for sampling: 0.006395101547241211
amortized time for sample size  170 is:  5.355830753550811e-05
preprocessing time for sampling: 0.006391048431396484
amortized time for sample size  175 is:  5.3265707833426325e-05
preprocessing time for sampling: 0.006387233734130859
amortized time for sample size  180 is:  5.322007338205975e-05
preprocessing time for sampling: 0.006414175033569336
amortized time for sample size  185 is:  5.318392934025945e-05
preprocessing time for sampling: 0.0064051151275634766
amortized time for sample size  190 is:  5.370832744397614e-05
preprocessing time for sampling: 0.006412029266357422
amortized time for sample size  195 is:  5.33289298033103e-05
preprocessing time for sampling: 0.00638890266418457
amortized time for sample size  200 is:  5.343494415283204e-05
preprocessing time for sampling: 0.006532192230224609
amortized time for sample size  205 is:  5.364570385072288e-05
preprocessing time for sampling: 0.00640106201171875
amortized time for sample size  210 is:  5.3716160002208896e-05
preprocessing time for sampling: 0.006398916244506836
amortized time for sample size  215 is:  5.374468204587005e-05
preprocessing time for sampling: 0.006396770477294922
amortized time for sample size  220 is:  5.359811132604425e-05
preprocessing time for sampling: 0.0064029693603515625
amortized time for sample size  225 is:  5.3595712449815544e-05
preprocessing time for sampling: 0.0064051151275634766
amortized time for sample size  230 is:  5.368173640707265e-05
preprocessing time for sampling: 0.006395816802978516
amortized time for sample size  235 is:  5.337989076654962e-05
preprocessing time for sampling: 0.006390810012817383
amortized time for sample size  240 is:  5.37122388680776e-05
preprocessing time for sampling: 0.006387948989868164
amortized time for sample size  245 is:  5.370740501248107e-05
preprocessing time for sampling: 0.006416797637939453
amortized time for sample size  250 is:  5.364730834960937e-05
*** results for plotting, beta= 1.2 

mean_list= [np.float64(0.99), np.float64(0.97), np.float64(0.9800000000000001), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0), np.float64(1.0)]
std_list= [np.float64(0.029999999999999992), np.float64(0.04582575694955839), np.float64(0.039999999999999994), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0), np.float64(0.0)]
