Magic Series for Cubes m3-approximation Only magic square data were used to estimate the third members of the formulae. Lower Orders: 9 correct digits (relative error < 3*10^-10) Orders above 100: all 11 digits should be correct N(040)= 7.2786050579*10^138 (exact: N(040)= 7.2786050559...*10^138 ) N(041)= 2.1732307797*10^143 N(042)= 6.8292984134*10^147 N(043)= 2.2558293460*10^152 N(044)= 7.8229479859*10^156 N(045)= 2.8449046432*10^161 N(046)= 1.0837278618*10^166 N(047)= 4.3198810891*10^170 N(048)= 1.8000572331*10^175 N(049)= 7.8333331924*10^179 N(050)= 3.5567481060*10^184 N(051)= 1.6835377734*10^189 N(052)= 8.3001979322*10^193 N(053)= 4.2588963507*10^198 N(054)= 2.2725304643*10^203 N(055)= 1.2600864608*10^208 N(056)= 7.2552968141*10^212 N(057)= 4.3348295454*10^217 N(058)= 2.6857130438*10^222 N(059)= 1.7243961302*10^227 N(060)= 1.1466562514*10^232 N(061)= 7.8919887696*10^236 N(062)= 5.6188025237*10^241 N(063)= 4.1358107666*10^246 N(064)= 3.1455790777*10^251 N(065)= 2.4707835213*10^256 N(066)= 2.0032781495*10^261 N(067)= 1.6757356799*10^266 N(068)= 1.4455040390*10^271 N(069)= 1.2852296861*10^276 N(070)= 1.1773184757*10^281 N(071)= 1.1106285044*10^286 N(072)= 1.0785013317*10^291 N(073)= 1.0776313113*10^296 N(074)= 1.1074982161*10^301 N(075)= 1.1702258575*10^306 N(076)= 1.2708236906*10^311 N(077)= 1.4178472793*10^316 N(078)= 1.6245983078*10^321 N(079)= 1.9110976601*10^326 N(080)= 2.3072358936*10^331 N(081)= 2.8577815955*10^336 N(082)= 3.6303902862*10^341 N(083)= 4.7285467047*10^346 N(084)= 6.3127465589*10^351 N(085)= 8.6356454899*10^356 N(086)= 1.2101233851*10^362 N(087)= 1.7365949825*10^367 N(088)= 2.5514087172*10^372 N(089)= 3.8366794584*10^377 N(090)= 5.9034935596*10^382 N(091)= 9.2923915625*10^387 N(092)= 1.4958912377*10^393 N(093)= 2.4621719380*10^398 N(094)= 4.1426351775*10^403 N(095)= 7.1231380487*10^408 N(096)= 1.2514140535*10^414 N(097)= 2.2457762023*10^419 N(098)= 4.1159546090*10^424 N(099)= 7.7022608903*10^429 N(100)= 1.4713509428*10^435 N(101)= 2.8686229449*10^440 N(102)= 5.7069018590*10^445 N(103)= 1.1582690665*10^451 N(104)= 2.3978098482*10^456 N(105)= 5.0621153989*10^461 N(106)= 1.0896293399*10^467 N(107)= 2.3909692644*10^472 N(108)= 5.3473450352*10^477 N(109)= 1.2186906566*10^483 N(110)= 2.8298493765*10^488 N(111)= 6.6937986357*10^493 N(112)= 1.6126783242*10^499 N(113)= 3.9565464637*10^504 N(114)= 9.8834176012*10^509 N(115)= 2.5133361679*10^515 N(116)= 6.5054600596*10^520 N(117)= 1.7136498552*10^526 N(118)= 4.5932132989*10^531 N(119)= 1.2525542396*10^537 N(120)= 3.4745449465*10^542 N(121)= 9.8029759472*10^547 N(122)= 2.8126438985*10^553 N(123)= 8.2055482735*10^558 N(124)= 2.4337543030*10^564 N(125)= 7.3377573424*10^569 N(126)= 2.2485865671*10^575 N(127)= 7.0025888888*10^580 N(128)= 2.2159216973*10^586 N(129)= 7.1242942351*10^591 N(130)= 2.3268409991*10^597 N(131)= 7.7192587782*10^602 N(132)= 2.6008539431*10^608 N(133)= 8.8988942258*10^613 N(134)= 3.0916112407*10^619 N(135)= 1.0904663541*10^625 N(136)= 3.9045301751*10^630 N(137)= 1.4190762004*10^636 N(138)= 5.2344986091*10^641 N(139)= 1.9594294230*10^647 N(140)= 7.4425667821*10^652 N(141)= 2.8681940015*10^658 N(142)= 1.1213513838*10^664 N(143)= 4.4471086086*10^669 N(144)= 1.7888444956*10^675 N(145)= 7.2976482890*10^680 N(146)= 3.0190201223*10^686 N(147)= 1.2664255737*10^692 N(148)= 5.3861984220*10^697 N(149)= 2.3223786646*10^703 N(150)= 1.0150589847*10^709