dim =  4  num_points =  21
List center
[0.317872623716692, -0.2061208867135566, 0.6918282334457382, 0.6146908739840153] 0.5162367667349869
[-0.10910224167210045, -0.5880920687011906, -0.6064916268351432, -0.5238437994018237] 0.5170677687476031
[-0.6212140600389379, -0.4516302093007568, 0.30239192233766715, 0.5645195930716876] 0.516760540826838
[0.023986538444499023, -0.15251447332589452, -0.9462601439618782, 0.28417551152205395] 0.516076327406464
[0.6783453004978421, -0.0055751565944514615, -0.6339462325855173, -0.37138759418169687] 0.5177529783069967
[-0.8899294320408205, 0.3497553252637325, 0.28827322860999666, 0.05094471615321714] 0.5177558980657511
[0.6172448244752003, 0.4897190887625773, -0.2965769527266776, 0.5396537333063564] 0.5193075773675533
[-0.6657451379233817, -0.3058023754021269, 0.15289579056169184, -0.6632429387172616] 0.5216206301098798
[-0.29288932297306236, -0.2884455761623262, 0.9022644535924426, -0.1301301266590329] 0.5168096827436588
[0.5659953766573546, 0.736078785278544, 0.010028268418356176, -0.3711289389119255] 0.5162424942521513
[-0.3417057416536483, 0.5857035462585737, -0.12075953620210429, 0.7249866732825603] 0.516466084201234
[0.5945767763358881, 0.08575808747743074, 0.7469213128415296, -0.28501326266916494] 0.5159051315376852
[-0.8278526977671139, -0.2454195872341878, -0.5002117426379754, 0.0649411235550502] 0.5177667924133825
[-0.22827889567653886, 0.4987817239733315, 0.5620093099939535, -0.619072752670485] 0.5178798661120284
[0.466956334894678, -0.6801059223330442, 0.1904864411011696, -0.5320926906713334] 0.5159219369469674
[0.08804579449728152, 0.697748406044301, 0.6479713453601907, 0.2924521080896566] 0.516388520920762
[-0.08776563864753405, 0.3090892356529597, -0.36780781243064775, -0.8726273260626446] 0.5201242143984152
[0.1105725778119863, -0.26092901703286325, -0.2169214023138259, 0.9341492698302983] 0.5157538684848215
[0.8566757061790465, -0.41319475347599116, -0.05893126468718245, 0.30315661989294584] 0.5188737154428643
[-0.06394313464726185, 0.7377423738179284, -0.6712860379143881, -0.03197687768017265] 0.51701541139908
[0.0341374623924084, -0.9600099218020351, -0.128668065555995, 0.24629273762970605] 0.5158608031362647
R optimal =  0.5157538684848215