solutions of r^1023 ...:
r: 3.6817266456517435648, r/4: 0.92043166141293589120; 4R: 6.1916578019985521923, R: 1.5479144504996380481
r: 3.6934351620125200652, r/4: 0.92335879050313001629; 4R: 6.2545929719654102115, R: 1.5636482429913525529
r: 3.7105888489595356780, r/4: 0.92764721223988391951; 4R: 6.3472919081037805213, R: 1.5868229770259451303
r: 3.7234749093648153370, r/4: 0.93086872734120383425; 4R: 6.4173155819396891146, R: 1.6043288954849222787
r: 3.7558832585836122208, r/4: 0.93897081464590305519; 4R: 6.5948925349414288611, R: 1.6487231337353572153
r: 3.7663117236143241703, r/4: 0.94157793090358104258; 4R: 6.6524805522060530375, R: 1.6631201380515132594
r: 3.7817421909325717798, r/4: 0.94543554773314294496; 4R: 6.7380896168143446312, R: 1.6845224042035861578
r: 3.7894391753395503503, r/4: 0.94735979383488758759; 4R: 6.7809709129189907234, R: 1.6952427282297476808
r: 3.8156865329558984980, r/4: 0.95392163323897462451; 4R: 6.9280906518692080787, R: 1.7320226629673020197
r: 3.8608095001868316903, r/4: 0.96520237504670792259; 4R: 7.1842309963592297493, R: 1.7960577490898074373
r: 3.8692918630437572302, r/4: 0.96732296576093930755; 4R: 7.2328357953291152982, R: 1.8082089488322788245
r: 3.8717745390676246072, r/4: 0.96794363476690615180; 4R: 7.2470890032370677714, R: 1.8117722508092669428
r: 3.8773752934848548667, r/4: 0.96934382337121371668; 4R: 7.2792885795570546776, R: 1.8198221448892636694
r: 3.8814556650126786025, r/4: 0.97036391625316965061; 4R: 7.3027867494336578868, R: 1.8256966873584144717
r: 3.8904551202083794124, r/4: 0.97261378005209485311; 4R: 7.3547308019388370793, R: 1.8386827004847092698
r: 3.8939907890866506973, r/4: 0.97349769727166267431; 4R: 7.3751826873183751604, R: 1.8437956718295937901
r: 3.8982215261165690031, r/4: 0.97455538152914225078; 4R: 7.3996880144454542642, R: 1.8499220036113635661
r: 3.9008709868622691252, r/4: 0.97521774671556728131; 4R: 7.4150524824192751718, R: 1.8537631206048187930
r: 3.9107258207319200557, r/4: 0.97768145518298001393; 4R: 7.4723248034755096092, R: 1.8680812008688774023
r: 3.9132174958166505803, r/4: 0.97830437395416264508; 4R: 7.4868361779322365415, R: 1.8717090444830591354
r: 3.9165001193367950469, r/4: 0.97912502983419876173; 4R: 7.5059729460915397499, R: 1.8764932365228849375
r: 3.9190742355357531506, r/4: 0.97976855888393828766; 4R: 7.5209943925686416620, R: 1.8802485981421604155
r: 3.9251648285043245211, r/4: 0.98129120712608113028; 4R: 7.5565892739187342865, R: 1.8891473184796835716
r: 3.9273471689436606683, r/4: 0.98183679223591516709; 4R: 7.5693614475224649950, R: 1.8923403618806162487
r: 3.9296787805681234609, r/4: 0.98241969514203086523; 4R: 7.5830177573111268961, R: 1.8957544393277817240
r: 3.9312722455825351746, r/4: 0.98281806139563379364; 4R: 7.5923569777224784032, R: 1.8980892444306196008
r: 3.9335935163872695330, r/4: 0.98339837909681738324; 4R: 7.6059709193894250379, R: 1.9014927298473562595
r: 3.9360063020696409517, r/4: 0.98400157551741023793; 4R: 7.6201330057926477502, R: 1.9050332514481619375
r: 3.9391196886219144570, r/4: 0.98477992215547861425; 4R: 7.6384245440449793940, R: 1.9096061360112448485
r: 3.9414076817799994625, r/4: 0.98535192044499986562; 4R: 7.6518791504343905819, R: 1.9129697876085976455
r: 3.9434698121016338337, r/4: 0.98586745302540845843; 4R: 7.6640145347536275869, R: 1.9160036336884068967
r: 3.9449518097844495872, r/4: 0.98623795244611239680; 4R: 7.6727411619527049435, R: 1.9181852904881762359
r: 3.9468634504171647121, r/4: 0.98671586260429117803; 4R: 7.6840041954045573857, R: 1.9210010488511393464
r: 3.9486184200752568064, r/4: 0.98715460501881420160; 4R: 7.6943505872071036112, R: 1.9235876468017759028
r: 3.9535274438326126175, r/4: 0.98838186095815315437; 4R: 7.7233243614724066799, R: 1.9308310903681016700
r: 3.9554771949342886076, r/4: 0.98886929873357215190; 4R: 7.7348454497766509816, R: 1.9337113624441627454
r: 3.9580362179472996248, r/4: 0.98950905448682490620; 4R: 7.7499782666879642869, R: 1.9374945666719910717
r: 3.9630966794911329106, r/4: 0.99077416987278322764; 4R: 7.7799419320113776338, R: 1.9449854830028444084
r: 3.9653534593940723524, r/4: 0.99133836484851808810; 4R: 7.7933211391403923077, R: 1.9483302847850980769
r: 3.9669751050811163598, r/4: 0.99174377627027908995; 4R: 7.8029412741711014654, R: 1.9507353185427753663
r: 3.9686733406497927657, r/4: 0.99216833516244819141; 4R: 7.8130214034848005203, R: 1.9532553508712001301
r: 3.9692868301371952520, r/4: 0.99232170753429881300; 4R: 7.8166642796261930099, R: 1.9541660699065482525
r: 3.9708011191822146876, r/4: 0.99270027979555367189; 4R: 7.8256592897342993564, R: 1.9564148224335748391
r: 3.9720081520308524243, r/4: 0.99300203800771310608; 4R: 7.8328324557378424172, R: 1.9582081139344606043
r: 3.9732069578377136017, r/4: 0.99330173945942840044; 4R: 7.8399596141345916671, R: 1.9599899035336479168
r: 3.9742369136497492137, r/4: 0.99355922841243730342; 4R: 7.8460852185167857605, R: 1.9615213046291964401
r: 3.9753733631783311442, r/4: 0.99384334079458278606; 4R: 7.8528466503111332418, R: 1.9632116625777833104
r: 3.9764804667160563647, r/4: 0.99412011667901409118; 4R: 7.8594359687422327209, R: 1.9648589921855581802
r: 3.9790291510676813276, r/4: 0.99475728776692033191; 4R: 7.8746146829110300970, R: 1.9686536707277575243
r: 3.9800286422487997563, r/4: 0.99500716056219993907; 4R: 7.8805707086232249637, R: 1.9701426771558062409
r: 3.9809838357895545038, r/4: 0.99524595894738862596; 4R: 7.8862646292386056512, R: 1.9715661573096514128
r: 3.9818283066774091097, r/4: 0.99545707666935227741; 4R: 7.8913000505026649523, R: 1.9728250126256662381
r: 3.9827166046076197238, r/4: 0.99567915115190493095; 4R: 7.8965983434020076946, R: 1.9741495858505019236
r: 3.9835591164519527993, r/4: 0.99588977911298819982; 4R: 7.9016250013635572448, R: 1.9754062503408893112
r: 3.9844375167020926760, r/4: 0.99610937917552316899; 4R: 7.9068672910989537002, R: 1.9767168227747384251
r: 3.9850583466610647830, r/4: 0.99626458666526619576; 4R: 7.9105733329708896121, R: 1.9776433332427224030
r: 3.9858920522826181880, r/4: 0.99647301307065454700; 4R: 7.9155513478845055067, R: 1.9788878369711263767
r: 3.9866484925265881607, r/4: 0.99666212313164704017; 4R: 7.9200692179113415363, R: 1.9800173044778353841
r: 3.9873971099177796205, r/4: 0.99684927747944490513; 4R: 7.9245414923451022519, R: 1.9811353730862755630
r: 3.9880919729060186672, r/4: 0.99702299322650466681; 4R: 7.9286936385453829969, R: 1.9821734096363457492
r: 3.9888206458417426196, r/4: 0.99720516146043565491; 4R: 7.9330488530098514644, R: 1.9832622132524628661
r: 3.9895819669734703434, r/4: 0.99739549174336758584; 4R: 7.9376003372529639228, R: 1.9844000843132409807
r: 3.9909648077333683325, r/4: 0.99774120193334208313; 4R: 7.9458704810995049959, R: 1.9864676202748762490
r: 3.9916444856668441157, r/4: 0.99791112141671102893; 4R: 7.9499367286208362679, R: 1.9874841821552090670
r: 3.9922442096591606744, r/4: 0.99806105241479016860; 4R: 7.9535254102387751030, R: 1.9883813525596937758
r: 3.9927880135347054212, r/4: 0.99819700338367635530; 4R: 7.9567800939570081194, R: 1.9891950234892520298
r: 3.9933220800931197168, r/4: 0.99833052002327992920; 4R: 7.9599770751730010089, R: 1.9899942687932502522
r: 3.9938274595364846638, r/4: 0.99845686488412116596; 4R: 7.9630028574746817172, R: 1.9907507143686704293
r: 3.9943220960207762230, r/4: 0.99858052400519405575; 4R: 7.9659648147182546232, R: 1.9914912036795636558
r: 3.9947503937023032330, r/4: 0.99868759842557580826; 4R: 7.9685299205801002158, R: 1.9921324801450250539
r: 3.9952030213523608604, r/4: 0.99880075533809021509; 4R: 7.9712411391183110680, R: 1.9928102847795777670
r: 3.9956249420257925819, r/4: 0.99890623550644814547; 4R: 7.9737687932870331673, R: 1.9934421983217582918
r: 3.9960285571178552731, r/4: 0.99900713927946381829; 4R: 7.9761871150656977769, R: 1.9940467787664244442
r: 3.9964060635031622528, r/4: 0.99910151587579056320; 4R: 7.9784492973985168191, R: 1.9946123243496292048
r: 3.9967702975666883177, r/4: 0.99919257439167207942; 4R: 7.9806322163779376454, R: 1.9951580540944844114
r: 3.9971143925868602204, r/4: 0.99927859814671505509; 4R: 7.9826946822513040895, R: 1.9956736705628260224
r: 3.9974511129166823421, r/4: 0.99936277822917058552; 4R: 7.9847131743254575561, R: 1.9961782935813643890
r: 3.9977138726152588206, r/4: 0.99942846815381470516; 4R: 7.9862884620699721874, R: 1.9965721155174930469
r: 3.9980118738171468786, r/4: 0.99950296845428671964; 4R: 7.9880751955486002175, R: 1.9970187988871500544
r: 3.9982789681727243456, r/4: 0.99956974204318108639; 4R: 7.9896767709868965692, R: 1.9974191927467241423
r: 3.9985261320870512711, r/4: 0.99963153302176281778; 4R: 7.9911589648089324465, R: 1.9977897412022331116
r: 3.9987524242161036230, r/4: 0.99968810605402590576; 4R: 7.9925161017419583030, R: 1.9981290254354895757
r: 3.9989607637322822521, r/4: 0.99974019093307056303; 4R: 7.9937656624057136527, R: 1.9984414156014284132
r: 3.9991496500333110752, r/4: 0.99978741250832776879; 4R: 7.9948986232949322988, R: 1.9987246558237330747
r: 3.9993199373502457187, r/4: 0.99982998433756142968; 4R: 7.9959200865866819032, R: 1.9989800216466704758
r: 3.9994696645039957847, r/4: 0.99986741612599894617; 4R: 7.9968182682797130302, R: 1.9992045670699282576
r: 3.9996020172502936678, r/4: 0.99990050431257341694; 4R: 7.9976122618920310703, R: 1.9994030654730077676
r: 3.9997151275402217130, r/4: 0.99992878188505542826; 4R: 7.9982908463936486183, R: 1.9995727115984121546
r: 3.9998093579253744534, r/4: 0.99995233948134361335; 4R: 7.9988561838966473379, R: 1.9997140459741618345
r: 3.9998846642737775269, r/4: 0.99997116606844438172; 4R: 7.9993079989449949046, R: 1.9998269997362487261
r: 3.9999411662708649832, r/4: 0.99998529156771624581; 4R: 7.9996470010865975834, R: 1.9999117502716493959
r: 3.9999788210802243711, r/4: 0.99999470527005609277; 4R: 7.9998729269298928693, R: 1.9999682317324732173
r: 3.9999976468907660347, r/4: 0.99999941172269150867; 4R: 7.9999858813501333311, R: 1.9999964703375333328