dim =  4  num_points =  23
List center
[-0.36845625063276577, -0.2812855781719752, -0.8482947551753631, -0.25595785439027424] 0.5031357558582031
[-0.7461305056400888, -0.07082261361205734, 0.5323753793610148, -0.39350969670979924] 0.501911216225712
[-0.7251884028880686, -0.49848726154811834, 0.227023922715841, 0.41721980886053567] 0.5046296584646488
[0.128186879268289, -0.37365035681678554, 0.6805859574459084, -0.6170545270570357] 0.501945678662457
[0.7722210581259331, 0.07813387627781825, 0.61333523264726, 0.1462519304426382] 0.5016347504910538
[0.6502084890715663, -0.43102450731818087, -0.036095143718153394, 0.6246150297826304] 0.5014931728986675
[0.07975025383686227, 0.5224438163124476, 0.3664138225120194, -0.7657893094591826] 0.5020464318876007
[-0.8182300616965089, 0.2307283102264881, -0.43940565974008133, 0.29014940838219966] 0.5030150621628016
[-0.08017850425847632, 0.8417321546153198, -0.3707142557381979, 0.38422562113164566] 0.5028906042155756
[0.5519082278137406, -0.2895384452403151, -0.7814757803937775, 0.029332600587974916] 0.5047351955822512
[0.5671266911066986, -0.7711757434560237, -0.006675230060025734, -0.28915520096145975] 0.5038149583772148
[-0.4987228078846024, 0.7763243713844855, 0.3834280322834458, -0.03973632279698628] 0.5021251279263285
[0.11471003349136576, -0.717878221948962, 0.6268038800635457, 0.2803736125335101] 0.5024611290920409
[0.7890108918721161, 0.44231171232290584, -0.27242155165570514, 0.3280375890696748] 0.5020150979358383
[-0.3959998923640357, -0.8179357055626294, 0.03809025379153099, -0.4155892195179424] 0.5016930968336839
[0.8235678211630592, 0.1259214186356797, -0.04539537596334126, -0.5511978774584099] 0.5018208950968224
[-0.5960146792270946, 0.4198499798204236, -0.29589199918788645, -0.6172037114334369] 0.5026548379058839
[-0.4041088849858475, 0.32052885043276685, 0.24391139322550312, 0.8212578750736811] 0.5023951587514494
[0.011549056123486586, 0.011532197820458072, -0.5680600506345541, 0.8228252588424557] 0.5023382596701339
[-0.12043750241988233, 0.15832464936059581, 0.9477268476522475, 0.24948333742925324] 0.5020011107538204
[-0.09415284329163606, -0.8189364882740663, -0.42944991669573107, 0.3688509716992356] 0.501651319532109
[0.25133894411461427, 0.5267960533690195, -0.7056361285488171, -0.40173661447870695] 0.5076194221162144
[0.04998958699798339, -0.2241893812466688, -0.2996171281687192, -0.9259966193436864] 0.5021239366497604
R optimal =  0.5014931728986675