solutions of T^240 ...:
r: 3.68719687331474235720, r/4: 0.921799218328685589299; 4R: 6.22102703595252748522, R: 1.55525675898813187130
r: 3.71709351979029282849, r/4: 0.929273379947573207122; 4R: 6.38259719528640240642, R: 1.59564929882160060161
r: 3.76124103020062893594, r/4: 0.940310257550157233985; 4R: 6.62445202686343059948, R: 1.65611300671585764987
r: 3.78577154462777311126, r/4: 0.946442886156943277815; 4R: 6.76052309885780887527, R: 1.69013077471445221882
r: 3.85361310798284158284, r/4: 0.963403276995710395711; 4R: 7.14310777005149269579, R: 1.78577694251287317395
r: 3.87941234795435616526, r/4: 0.969853086988589041315; 4R: 7.29101546955201826128, R: 1.82275386738800456532
r: 3.89225632412577167086, r/4: 0.973064081031442917714; 4R: 7.36514664444552079684, R: 1.84128666111138019921
r: 3.91779478208025700949, r/4: 0.979448695520064252374; 4R: 7.51352639033477449105, R: 1.87838159758369362276
r: 3.92627728938677859652, r/4: 0.981569322346694649131; 4R: 7.56309877438083236690, R: 1.89077469359520809173
r: 3.93469992828355249372, r/4: 0.983674982070888123430; 4R: 7.61246366906748814989, R: 1.90311591726687203747
r: 3.94036996330009303432, r/4: 0.985092490825023258581; 4R: 7.64577552107739045755, R: 1.91144388026934761439
r: 3.94773492190337271927, r/4: 0.986933730475843179817; 4R: 7.68914116980868286435, R: 1.92228529245217071609
r: 3.95448361287103586168, r/4: 0.988620903217758965420; 4R: 7.72897341872348890235, R: 1.93224335468087222559
r: 3.96619252484174703974, r/4: 0.991548131210436759934; 4R: 7.79829809442705812944, R: 1.94957452360676453236
r: 3.97141369236376728334, r/4: 0.992853423090941820834; 4R: 7.82929933116687703695, R: 1.95732483279171925924
r: 3.97591945622475252764, r/4: 0.993979864056188131909; 4R: 7.85609660993702677560, R: 1.96402415248425669390
r: 3.97954289908423441040, r/4: 0.994885724771058602599; 4R: 7.87767588748328427970, R: 1.96941897187082106993
r: 3.98313978954986984538, r/4: 0.995784947387467461345; 4R: 7.89912300399564175035, R: 1.97478075099891043759
r: 3.98627354251679954018, r/4: 0.996568385629199885046; 4R: 7.91782967073583535100, R: 1.97945741768395883775
r: 3.98918728945678422700, r/4: 0.997296822364196056751; 4R: 7.93524065144999673156, R: 1.98381016286249918289
r: 3.99132364059982525576, r/4: 0.997830910149956313940; 4R: 7.94801712281139253520, R: 1.98700428070284813380
r: 3.99357735318798695116, r/4: 0.998394338296996737791; 4R: 7.96150536951999356837, R: 1.99037634237999839209
r: 3.99541665073758583456, r/4: 0.998854162684396458640; 4R: 7.97252091151597627983, R: 1.99313022787899406996
r: 3.99694445371469165555, r/4: 0.999236113428672913889; 4R: 7.98167605865125159495, R: 1.99541901466281289874
r: 3.99814810433932414138, r/4: 0.999537026084831035345; 4R: 7.98889205555348287836, R: 1.99722301388837071959
r: 3.99905757425352757274, r/4: 0.999764393563381893185; 4R: 7.99434633368745305055, R: 1.99858658342186326264
r: 3.99966093822129944451, r/4: 0.999915234555324861128; 4R: 7.99796574429068644266, R: 1.99949143607267161067
r: 3.99996234746384211216, r/4: 0.999990586865960528041; 4R: 7.99977408620076615210, R: 1.99994352155019153803