solutions of T^120 ...:
r: 3.56440726609543259777, r/4: 0.891101816523858149443; 4R: 5.57618462640305085030, R: 1.39404615660076271257
r: 3.66244070721895192917, r/4: 0.915610176804737982291; 4R: 6.08859051945655290722, R: 1.52214762986413822680
r: 3.80086374373289790408, r/4: 0.950215935933224476021; 4R: 6.84483771095746438328, R: 1.71120942773936609582
r: 3.87056755638760495080, r/4: 0.967641889096901237699; 4R: 7.24015809578510552875, R: 1.81003952394627638219
r: 3.89948862930900967128, r/4: 0.974872157327252417820; 4R: 7.40703431149223969736, R: 1.85175857787305992434
r: 3.91206039775464524359, r/4: 0.978015099438661310897; 4R: 7.48009576017094266485, R: 1.87002394004273566621
r: 3.93047802432737291992, r/4: 0.982619506081843229979; 4R: 7.58770145106566287103, R: 1.89692536276641571776
r: 3.94421739271625150369, r/4: 0.986054348179062875923; 4R: 7.66841605557288193295, R: 1.91710401389322048324
r: 3.96109863348618882092, r/4: 0.990274658371547205230; 4R: 7.76810511723377479525, R: 1.94202627930844369881
r: 3.97372573542345740535, r/4: 0.993431433855864351337; 4R: 7.84304474951978259311, R: 1.96076118737994564828
r: 3.98140990966041135640, r/4: 0.995352477415102839099; 4R: 7.88880504942130220540, R: 1.97220126235532555135
r: 3.98774612541748535722, r/4: 0.996936531354371339305; 4R: 7.92662690994719614173, R: 1.98165672748679903543
r: 3.99251989406691947924, r/4: 0.998129973516729869809; 4R: 7.95517531638628698182, R: 1.98879382909657174546
r: 3.99621977244047056091, r/4: 0.999054943110117640228; 4R: 7.97733292476322519138, R: 1.99433323119080629784
r: 3.99864169883531057118, r/4: 0.999660424708827642794; 4R: 7.99185203799391742372, R: 1.99796300949847935593
r: 3.99984936891337984112, r/4: 0.999962342228344960280; 4R: 7.99909623617000330308, R: 1.99977405904250082577