circle_metromigadikoy_max_min
Author: emilv

σημείο στον κύκλο

δείξε μέτρο

διακεντρική

κατασκευή
3 δρομείς, το εργαλείο κύκλος με κέντρο και ακτίνα
Σημείο πάνω στον κύκλο, τμήμα με ένα σημείο αυτό και άλλο το Ο(0,0)
Διακεντρική ευθεία. 
Στο λογιστικό φύλλο
Προβολή του φύλλου εργασίας δεξί κλίκ στο σημείο C και καταγραφή στο φύλλο εργασίας
εστω καταγράφηκαν στα κελιά Α1,Β1
Στο διπλανό κελί γράφουμε =απόσταση[(Α1,Β1),C] που υπολογίζει την απόσταση 
του C  απο την αρχή D. 
μετακινούμε το C για να καταγραφούν συν/νες στα κελιά.
Αντιγράφουμε τον τύπο = απόσταση και στο κάτω μέρος της στήλης
ώστε να καταγραφεί η απόσταση.
Επιλέγουμε την στήλη αυτή και με δεξί κλίκ δημιουργούμε λίστα
Έστω το όνομά της L1. Στο πεδίο της εισαγωγής πληκτρολογούμε Ελάχιστη τιμή L_1 
 η οποία εμφανίζεται στο πεδίο της άλγεβρας.και την μετονομάζω σε ΜΙΝ
Όμοια για την μέγιστη τιμή

Κατασκευή

τετμημένηΚέντρου = 2.095897355163726 (slider from -5 to 5, step 0.5)
ΤεταγμένηΚέντρου = 2.6719962216624693 (slider from -5 to 5, step 0.5)
ακτίνα = 1.5 (slider from 0.5 to 5, step 0.5)
Κ: (τετμημένηΚέντρου, ΤεταγμένηΚέντρου)
d = Circle(Κ, ακτίνα)
C = Point(d)
D = Intersect(xAxis, yAxis)
e = Segment(D, C)
f = Line(Κ, D)
A = Intersect(d, f, 2.0)
B = Intersect(d, f, 1.0)
g = true
h = true
i = true
a = true
b = OrthogonalLine(Κ, xAxis)
c = OrthogonalLine(Κ, yAxis)
κείμενο2: "| z -(" + τετμημένηΚέντρου + "+" + ΤεταγμένηΚέντρου + "i)|=" + ακτίνα + "²"
A1 = 3.593065160048028
B1 = 2.7641296250399647
C1 = Distance((A1, B1), D)
A2 = 3.577776644746065
B2 = 2.904447874930287
A3 = 3.573072693390631
B3 = 2.9326742225260407
A4 = 3.5621789212872192
B4 = 2.9882530300420465
A5 = 3.5494191581542944
B5 = 3.042501779287516
A6 = 3.5423865770394034
B6 = 3.069071694334224
A7 = 3.5349456075206316
B7 = 3.0952457076497946
A8 = 3.5271170865453105
B8 = 3.1210063334684564
A9 = 3.5189223022394964
B9 = 3.1463378706877263
A10 = 3.5103828555380603
B10 = 3.1712263982651754
A11 = 3.5015205274126995
B11 = 3.1956597564218905
A12 = 3.4959157644683154
B12 = 3.2104648406257725
A13 = 3.486760110825635
B13 = 3.233690796064394
A14 = 3.4773482317665643
B14 = 3.256456207917516
A15 = 3.4677003618011537
B15 = 3.2787552438290235
A16 = 3.4578364319144033
B16 = 3.3005834878550893
A17 = 3.447775991951505
B17 = 3.321937873964286
A18 = 3.4375381416636
B18 = 3.342816614912406
A19 = 3.427141470366336
B19 = 3.3632191276330548
A20 = 3.416604005046989
B20 = 3.383145956214995
A21 = 3.405943166656112
B21 = 3.4025986934562997
A22 = 3.3951757342366267
B22 = 3.421579901896835
A23 = 3.3887986779003803
B23 = 3.4325264115075598
A24 = 3.3707513927322954
B24 = 3.462405724954982
A25 = 3.3593044561559933
B25 = 3.4805767662975198
A26 = 3.3518031120073646
B26 = 3.4921795730705596
A27 = 3.3439727966704913
B27 = 3.504046516000313
A28 = 3.335796226547555
B28 = 3.5161826872855015
A29 = 3.3147047311082543
B29 = 3.546358034840065
A30 = 3.302161567363214
B30 = 3.5635828132881775
A31 = 3.2926983410470854
B31 = 3.576245855441007
A32 = 3.269798936427199
B32 = 3.605781570394777
A33 = 3.246033864653382
B33 = 3.634901206351483
A34 = 3.234782258711671
B34 = 3.648183281846422
A35 = 3.221435847416342
B35 = 3.663542036265964
A36 = 3.209487031486704
B36 = 3.6769430027344248
A37 = 3.1960428000936227
B37 = 3.691643219402373
A38 = 3.1833965055553466
B38 = 3.705120414534509
A39 = 3.1702417373810965
B39 = 3.718793312028112
A40 = 3.1565575269435473
B40 = 3.7326563934422907
A41 = 3.129021548035766
B41 = 3.7594953720540896
A42 = 3.1144603275898666
B42 = 3.7731453810420805
A43 = 3.100844136235682
B43 = 3.785585897985447
A44 = 3.0720844153476787
B44 = 3.8108811252104138
A45 = 3.056173954660446
B45 = 3.824328141058533
A46 = 3.0262507312129148
B46 = 3.848619609018796
A47 = 3.009125532872302
B47 = 3.8619602107978857
A48 = 2.9958973551637262
B48 = 3.871996221662469
A49 = 2.9781549016762954
B49 = 3.885100348117252
A50 = 2.9598276538135044
B50 = 3.8982198713589282
A51 = 2.940902592125991
B51 = 3.911337235873791
A52 = 2.9213673983644606
B52 = 3.924433528587721
A53 = 2.901210593453465
B53 = 3.9374884532606305
A54 = 2.8804216849426116
B54 = 3.9504803146354677
A55 = 2.8589913233536874
B55 = 3.9633860139839427
A56 = 2.836911466578017
B56 = 3.9761810577516217
A57 = 2.814175551184586
B57 = 3.988839581034046
A58 = 2.7907786691792573
B58 = 4.001334387605224
A59 = 2.766717748413663
B59 = 4.013637008162343
A60 = 2.7419917344861333
B60 = 4.02571777833799
A61 = 2.716601771615502
B61 = 4.037545937856376
A62 = 2.690551379613304
B62 = 4.049089751966755
A63 = 2.6638466237444822
B63 = 4.0603166559709845
A64 = 2.6364962739669697
B64 = 4.071193423270865
A65 = 2.6085119497937828
B65 = 4.0816863568951245
A66 = 2.579908246845934
B66 = 4.091761503930279
A67 = 2.550702841079146
B67 = 4.101384891682362
A68 = 2.5209165666898294
B68 = 4.11052278375082
A69 = 2.499095806884644
B69 = 4.116790673662425
A70 = 2.4676472301376755
B70 = 4.125200278378818
A71 = 2.4356675971541435
B71 = 4.133008262221264
A72 = 2.4433281461227856
B72 = 4.13120554369052
A73 = 2.3765655169987188
B73 = 4.145504071296181
A74 = 2.3080293895196906
B74 = 4.156920462154219
A75 = 1.9878611799416395
B75 = 4.168100557878157
A76 = 1.930250066051456
B76 = 4.162821823672898
A77 = 1.8895447982516942
B77 = 4.157734631429097
A78 = 1.8352193543001545
B78 = 4.149171559889375
A79 = 1.784641042631131
B79 = 4.139347409316131
A80 = 1.7424973167314697
B80 = 4.1297713801955265
A81 = 1.6897789897863
B81 = 4.115972631893317
A82 = 1.6353931852795884
B82 = 4.099559148303296
A83 = 1.579515381426091
B83 = 4.080310695492383
A84 = 1.5050184072949742
B84 = 4.050713766689556
A85 = 1.4250769619137889
B85 = 4.013637008162343
A86 = 1.3847476206111995
B86 = 3.992702871545732
A87 = 1.3008989451589552
B87 = 3.9439936776701012
A88 = 1.2393006228658263
B88 = 3.9033540243407
A89 = 1.1521000121617788
B89 = 3.837863527723697
A90 = 1.1244247250204147
B90 = 3.814905198301658
A91 = 1.0642803832975511
B91 = 3.760925247521209
A92 = 1.0352371833839047
B92 = 3.7326563934422907
A93 = 0.9747833771382364
B93 = 3.668541979907349
A94 = 0.9185732068635868
B94 = 3.6014626545310007
A95 = 0.8579364632889783
B95 = 3.5190220950504547
A96 = 0.8276640006172693
B96 = 3.472985708744442
A97 = 0.7977579269420367
B97 = 3.4235506274750267
A98 = 0.7402905968234179
B98 = 3.314125738771037
A99 = 0.7134442924566278
B99 = 3.2540817217496683
A100 = 0.6655233574625135
B100 = 3.1236932735681155
A101 = 0.6452855492697562
B101 = 3.053736170581935
A102 = 0.6142529071701224
B102 = 2.905940081871986
A103 = 0.6041391757816168
B103 = 2.8290233984395337
A104 = 0.5979706111649612
B104 = 2.750834471346615
A105 = 0.5958973551637259
B105 = 2.6719962216624693
A106 = 0.5979706111649612
B106 = 2.5931579719783238
A107 = 0.6041391757816168
B107 = 2.514969044885405
A108 = 0.6142529071701224
B108 = 2.438052361452953
A109 = 0.6452855492697562
B109 = 2.2902562727430036
A110 = 0.6655233574625135
B110 = 2.220299169756823
A111 = 0.7134442924566278
B111 = 2.0899107215752704
A112 = 0.7402905968234179
B112 = 2.0298667045539016
A113 = 0.7977579269420367
B113 = 1.920441815849912
A114 = 0.8276640006172693
B114 = 1.8710067345804968
A115 = 0.8883135991336741
B115 = 1.7821976645876938
A116 = 0.9485305579881496
B116 = 1.7057926029883
A117 = 0.978035384876077
B117 = 1.6718039324577307
A118 = 1.0069683293049865
B118 = 1.6403792497962941
A119 = 1.0352371833839047
B119 = 1.611336049882648
A120 = 1.0627731622916865
B120 = 1.5844970712708484
A121 = 1.0895273692100367
B121 = 1.5596925529768124
A122 = 1.1154675496445878
B122 = 1.5367617100087294
A123 = 1.1405751846692889
B123 = 1.515553594221835
A124 = 1.1648429386153845
B124 = 1.495927484969827
A125 = 1.195897355163726
B125 = 1.4719962216624691
A126 = 1.2194402663961124
B126 = 1.4546947094852274
A127 = 1.2750233106896718
B127 = 1.4165418007021506
A128 = 1.2966774506345171
B128 = 1.4026469615278434
A129 = 1.3311937697111267
B129 = 1.3815589212112078
A130 = 1.3674329583957778
B130 = 1.3607603074801626
A131 = 1.387565236390598
B131 = 1.349776266619296
A132 = 1.4250769619137889
B132 = 1.3303554351625955
A133 = 1.4642303954817826
B133 = 1.311482770039822
C2 = Distance((A2, B2), D)
C3 = Distance((A3, B3), D)
C4 = Distance((A4, B4), D)
C5 = Distance((A5, B5), D)
C6 = Distance((A6, B6), D)
C7 = Distance((A7, B7), D)
C8 = Distance((A8, B8), D)
C9 = Distance((A9, B9), D)
C10 = Distance((A10, B10), D)
C11 = Distance((A11, B11), D)
C12 = Distance((A12, B12), D)
C13 = Distance((A13, B13), D)
C14 = Distance((A14, B14), D)
C15 = Distance((A15, B15), D)
C16 = Distance((A16, B16), D)
C17 = Distance((A17, B17), D)
C18 = Distance((A18, B18), D)
C19 = Distance((A19, B19), D)
C20 = Distance((A20, B20), D)
C21 = Distance((A21, B21), D)
C22 = Distance((A22, B22), D)
C23 = Distance((A23, B23), D)
C24 = Distance((A24, B24), D)
C25 = Distance((A25, B25), D)
C26 = Distance((A26, B26), D)
C27 = Distance((A27, B27), D)
C28 = Distance((A28, B28), D)
C29 = Distance((A29, B29), D)
C30 = Distance((A30, B30), D)
C31 = Distance((A31, B31), D)
C32 = Distance((A32, B32), D)
C33 = Distance((A33, B33), D)
C34 = Distance((A34, B34), D)
C35 = Distance((A35, B35), D)
C36 = Distance((A36, B36), D)
C37 = Distance((A37, B37), D)
C38 = Distance((A38, B38), D)
C39 = Distance((A39, B39), D)
C40 = Distance((A40, B40), D)
C41 = Distance((A41, B41), D)
C42 = Distance((A42, B42), D)
C43 = Distance((A43, B43), D)
C44 = Distance((A44, B44), D)
C45 = Distance((A45, B45), D)
C46 = Distance((A46, B46), D)
C47 = Distance((A47, B47), D)
C48 = Distance((A48, B48), D)
C49 = Distance((A49, B49), D)
C50 = Distance((A50, B50), D)
C51 = Distance((A51, B51), D)
C52 = Distance((A52, B52), D)
C53 = Distance((A53, B53), D)
C54 = Distance((A54, B54), D)
C55 = Distance((A55, B55), D)
C56 = Distance((A56, B56), D)
C57 = Distance((A57, B57), D)
C58 = Distance((A58, B58), D)
C59 = Distance((A59, B59), D)
C60 = Distance((A60, B60), D)
C61 = Distance((A61, B61), D)
C62 = Distance((A62, B62), D)
C63 = Distance((A63, B63), D)
C64 = Distance((A64, B64), D)
C65 = Distance((A65, B65), D)
C66 = Distance((A66, B66), D)
C67 = Distance((A67, B67), D)
C68 = Distance((A68, B68), D)
C69 = Distance((A69, B69), D)
C70 = Distance((A70, B70), D)
C71 = Distance((A71, B71), D)
C72 = Distance((A72, B72), D)
C73 = Distance((A73, B73), D)
C74 = Distance((A74, B74), D)
C75 = Distance((A75, B75), D)
C76 = Distance((A76, B76), D)
C77 = Distance((A77, B77), D)
C78 = Distance((A78, B78), D)
C79 = Distance((A79, B79), D)
C80 = Distance((A80, B80), D)
C81 = Distance((A81, B81), D)
C82 = Distance((A82, B82), D)
C83 = Distance((A83, B83), D)
C84 = Distance((A84, B84), D)
C85 = Distance((A85, B85), D)
C86 = Distance((A86, B86), D)
C87 = Distance((A87, B87), D)
C88 = Distance((A88, B88), D)
C89 = Distance((A89, B89), D)
C90 = Distance((A90, B90), D)
C91 = Distance((A91, B91), D)
C92 = Distance((A92, B92), D)
C93 = Distance((A93, B93), D)
C94 = Distance((A94, B94), D)
C95 = Distance((A95, B95), D)
C96 = Distance((A96, B96), D)
C97 = Distance((A97, B97), D)
C98 = Distance((A98, B98), D)
C99 = Distance((A99, B99), D)
C100 = Distance((A100, B100), D)
C101 = Distance((A101, B101), D)
C102 = Distance((A102, B102), D)
C103 = Distance((A103, B103), D)
C104 = Distance((A104, B104), D)
C105 = Distance((A105, B105), D)
C106 = Distance((A106, B106), D)
C107 = Distance((A107, B107), D)
C108 = Distance((A108, B108), D)
C109 = Distance((A109, B109), D)
C110 = Distance((A110, B110), D)
C111 = Distance((A111, B111), D)
C112 = Distance((A112, B112), D)
C113 = Distance((A113, B113), D)
C114 = Distance((A114, B114), D)
C115 = Distance((A115, B115), D)
C116 = Distance((A116, B116), D)
C117 = Distance((A117, B117), D)
C118 = Distance((A118, B118), D)
C119 = Distance((A119, B119), D)
C120 = Distance((A120, B120), D)
C121 = Distance((A121, B121), D)
C122 = Distance((A122, B122), D)
C123 = Distance((A123, B123), D)
C124 = Distance((A124, B124), D)
C125 = Distance((A125, B125), D)
C126 = Distance((A126, B126), D)
C127 = Distance((A127, B127), D)
C128 = Distance((A128, B128), D)
C129 = Distance((A129, B129), D)
C130 = Distance((A130, B130), D)
C131 = Distance((A131, B131), D)
C132 = Distance((A132, B132), D)
C133 = Distance((A133, B133), D)
L_1: {C1, C2, C3, C4, C5, C6, C7, C8, C9, C10, C11, C12, C13, C14, C15, C16, C17, C18, C19, C20, C21, C22, C23, C24, C25, C26, C27, C28, C29, C30, C31, C32, C33, C34, C35, C36, C37, C38, C39, C40, C41, C42, C43, C44, C45, C46, C47, C48, C49, C50, C51, C52, C53, C54, C55, C56, C57, C58, C59, C60, C61, C62, C63, C64, C65, C66, C67, C68, C69, C70, C71, C72, C73, C74, C75, C76, C77, C78, C79, C80, C81, C82, C83, C84, C85, C86, C87, C88, C89, C90, C91, C92, C93, C94, C95, C96, C97, C98, C99, C100, C101, C102, C103, C104, C105, C106, C107, C108, C109, C110, C111, C112, C113, C114, C115, C116, C117, C118, C119, C120, C121, C122, C123, C124, C125, C126, C127, C128, C129, C130, C131, C132, C133}
D1 = 1.4599871960907798
E1 = 1.3134608818248115
D2 = 1.518974278240649
E2 = 1.2873808370470847
D3 = 1.5692121927811382
E3 = 1.2675024553089027
D4 = 1.5951266417968346
E4 = 1.258055383920658
D5 = 1.6215557061384689
E5 = 1.2489712745866988
D6 = 1.6484848654598059
E6 = 1.2402762546099246
D7 = 1.675897355163726
E7 = 1.2319962216624691
D8 = 1.7037741415712488
E8 = 1.224156663782554
D9 = 1.7320939176092263
E9 = 1.2167824714444715
D10 = 1.7608331206696315
E10 = 1.209897743870058
D11 = 1.789965973995724
E11 = 1.203525592056062
D12 = 1.84929887420569
E12 = 1.1924053359142537
D13 = 1.879437015556133
E13 = 1.187696750067547
D14 = 1.9098452532799133
E14 = 1.1835794065919678
D15 = 1.9436268231436344
E15 = 1.1797450078655702
D16 = 1.9738543409813656
E16 = 1.1769692979285573
D17 = 2.0659033533643254
E17 = 1.172296131692459
D18 = 2.095897355163726
E18 = 1.1719962216624693
D19 = 2.155849412687033
E19 = 1.1731947835797851
D20 = 2.185735791255646
E20 = 1.1746889534638012
D21 = 2.215515188588061
E21 = 1.176773303858282
D22 = 2.2451529336952243
E22 = 1.1794404363474855
D23 = 2.274615186091372
E23 = 1.182680963932086
D24 = 2.3038691219653353
E24 = 1.186483601650974
D25 = 2.3328831068237355
E25 = 1.1908352737874113
D26 = 2.3900715578710017
E26 = 1.201125208126089
D27 = 2.439456355752047
E27 = 1.2118704691621054
D28 = 2.519146841151051
E28 = 1.2329479693055636
D29 = 2.5449074669697134
E29 = 1.2407764902808849
D30 = 2.5951275317664324
E30 = 1.257510721288135
D31 = 2.6195608899231475
E31 = 1.2663730494134957
D32 = 2.64352864839141
E32 = 1.2755364239318743
D33 = 2.667022063045168
E33 = 1.2849790739503952
D34 = 2.6767460816963635
E34 = 1.2890230632514272
D35 = 2.710282959414486
E35 = 1.3035919212857756
D36 = 2.744077625809555
E36 = 1.3192721785755213
D37 = 2.766717748413663
E37 = 1.3303554351625955
D38 = 2.789746365206256
E38 = 1.3421189524142874
D39 = 2.8017797081049025
E39 = 1.3484668098977635
D40 = 2.824361751931674
E40 = 1.3607603074801626
D41 = 2.849828041225522
E41 = 1.3752354416361805
D42 = 2.8720263635275174
E42 = 1.3883982462915836
D43 = 2.907033742133974
E43 = 1.410228508597639
D44 = 2.9279476495015695
E44 = 1.423920780155704
D45 = 2.9418398244000246
E45 = 1.4332947488521746
D46 = 2.976348712355122
E46 = 1.4575805565708881
D47 = 3.0104634964382644
E47 = 1.483060238005569
D48 = 3.044087446371417
E48 = 1.509698690504655
D49 = 3.0592271490793372
E49 = 1.522215499892224
D50 = 3.0924431134086054
E50 = 1.5508822436369798
D51 = 3.1080511544811293
E51 = 1.5649530036590593
D52 = 3.1239444036712123
E52 = 1.5796962326232649
D53 = 3.1401161092743513
E53 = 1.5951456314858872
D54 = 3.1565575269435473
E54 = 1.6113360498826481
D55 = 3.1732576893474866
E55 = 1.6283033979219512
D56 = 3.1902031613738537
E56 = 1.6460845283404748
D57 = 3.2073777823176997
E57 = 1.6647170845541803
D58 = 3.2226447028385397
E58 = 1.681824310069451
D59 = 3.239661058222913
E59 = 1.7015300493698255
D60 = 3.2705636264111666
E60 = 1.7391730062600899
D61 = 3.2874341046295203
E61 = 1.7608210603062737
D62 = 3.3213491500608683
E62 = 1.8069714252644862
D63 = 3.3494555747156367
E63 = 1.8482293916712136
D64 = 3.3658521789802327
E64 = 1.8737389038349506
D65 = 3.3982620683504146
E65 = 1.9277878141272187
D66 = 3.4141775026622674
E66 = 1.956358427306118
D67 = 3.4451595930277223
E67 = 2.0166402775570997
D68 = 3.460109068542426
E68 = 2.048356581260778
D69 = 3.474614900190813
E69 = 2.081117273793718
D70 = 3.488612391491615
E70 = 2.114910207131314
D71 = 3.502035263178374
E71 = 2.1497164272570286
D72 = 3.526887930515609
E72 = 2.2222563265518773
D73 = 3.5381832766249603
E73 = 2.2599145298164025
D74 = 3.5486367540590003
E74 = 2.2984346619465414
D75 = 3.558185115021527
E75 = 2.3377590194092575
D76 = 3.566768368700106
E76 = 2.377822018955193
D77 = 3.574330737383626
E77 = 2.4185504989962006
D78 = 3.580821595655476
E78 = 2.459864187306505
D79 = 3.586196364148332
E79 = 2.5016763349213713
D80 = 3.5904173287263523
E80 = 2.543894509642816
D81 = 3.5934543567996906
E81 = 2.5864215358547
D82 = 3.595285484854768
E82 = 2.629156560814154
D83 = 3.595897355163726
E83 = 2.6719962216624693
D84 = 3.595285484854768
E84 = 2.714835882510785
D85 = 3.5934543567996906
E85 = 2.757570907470239
D86 = 3.5904173287263523
E86 = 2.800097933682123
D87 = 3.586196364148332
E87 = 2.8423161084035673
D88 = 3.580821595655476
E88 = 2.8841282560184336
D89 = 3.574330737383626
E89 = 2.925441944328738
D90 = 3.5650829200487033
E90 = 2.9744756026681998
D91 = 3.55602310766409
E91 = 3.01555522225079
D92 = 3.553672513696783
E92 = 3.0253962600947255
D93 = 3.5430430870203242
E93 = 3.0666723303506322
D94 = 3.5314339618139363
E94 = 3.1070073145867756
D95 = 3.5189223022394964
E95 = 3.1463378706877263
D96 = 3.514427254121026
E96 = 3.1596158744290412
D97 = 3.5003911215172927
E97 = 3.1986813840450568
D98 = 3.479188927906522
E98 = 3.2520862360384806
D99 = 3.462953254651738
E99 = 3.2893763053022167
D100 = 3.4551720651566242
E100 = 3.306324419659155
D101 = 3.4375381416636
E101 = 3.3428166149124063
D102 = 3.409263881203917
E102 = 3.3966122360294717
D103 = 3.3780786279963193
E103 = 3.4504634230251154
D104 = 3.3439727966704913
E104 = 3.504046516000313
D105 = 3.329185642629394
E105 = 3.525811189907932
D106 = 3.3069840385505733
E106 = 3.557021105675934
D107 = 3.2672005693282715
E107 = 3.609038792994105
D108 = 3.224762397224043
E108 = 3.6597531334652462
D109 = 3.203625596055915
E109 = 3.6834002676944673
D110 = 3.1798601408852747
E110 = 3.7088301906135155
D111 = 3.1565575269435477
E111 = 3.7326563934422903
D112 = 3.132731324114773
E112 = 3.7559590073840177
D113 = 3.1073014011957247
E113 = 3.7797244625546575
D114 = 3.056173954660446
E114 = 3.824328141058533
D115 = 3.026951771712068
E115 = 3.848064958355111
D116 = 2.9723544439313403
E116 = 3.889297733839711
D117 = 2.939362387274645
E117 = 3.912385974766761
D118 = 2.9044778997987772
E118 = 3.935403322654736
D119 = 2.845481035398092
E119 = 3.9712746007353696
D120 = 2.8070470897162525
E120 = 3.992702871545732
D121 = 2.7863731018462268
E121 = 4.0036280188358635
D122 = 2.8070470897162525
E122 = 3.992702871545732
D123 = 2.845481035398092
E123 = 3.9712746007353696
D124 = 2.867640988305016
E124 = 3.9582356102312852
D125 = 2.9044778997987772
E125 = 3.935403322654736
D126 = 2.92794764950157
E126 = 3.9200716631692347
D127 = 2.962923366334235
E127 = 3.8960329433149514
D128 = 2.9874839467894345
E128 = 3.878260433861957
D129 = 3.04575404054962
E129 = 3.8329321704674504
D130 = 3.076327160682865
E130 = 3.8072307333162083
D131 = 3.1022673411174155
E131 = 3.7842998903481257
D132 = 3.130380113784416
E132 = 3.758203118214193
D133 = 3.1565575269435477
E133 = 3.7326563934422903
D134 = 3.1821042517154505
E134 = 3.7064789802831584
D135 = 3.2082010238493828
E135 = 3.6783662076161585
D136 = 3.2771548566751045
E136 = 3.5964586141496353
D137 = 3.3439727966704913
E137 = 3.504046516000313
D138 = 3.3821367437325423
E138 = 3.443739854803759
D139 = 3.4046563790883058
E139 = 3.4049012750602343
D140 = 3.416604005046989
E140 = 3.3831459562149955
D141 = 3.4375381416636
E141 = 3.3428166149124063
D142 = 3.416604005046989
E142 = 3.3831459562149955
D143 = 3.3821367437325423
E143 = 3.443739854803759
D144 = 3.3439727966704913
E144 = 3.504046516000313
D145 = 3.3199340768162084
E145 = 3.539022232832978
D146 = 3.295897355163726
E146 = 3.571996221662469
D147 = 3.271966091856368
E147 = 3.6030506382108105
D148 = 3.295897355163726
E148 = 3.571996221662469
D149 = 3.3131988673409674
E149 = 3.5484533104300833
D150 = 3.336287108268018
E150 = 3.5154612537733883
D151 = 3.373384830220542
E151 = 3.4581423601589716
D152 = 3.418117310206899
E152 = 3.380328340435598
D153 = 3.4646613419361527
E153 = 3.285580077801833
D154 = 3.481922603796562
E154 = 3.2455239107519187
D155 = 3.504211828993639
E155 = 3.1883781954001043
D156 = 3.5189223022394964
E156 = 3.1463378706877263
D157 = 3.536416695294162
E157 = 3.0902115139584025
D158 = 3.5483133407277623
E158 = 3.046813250195124
D159 = 3.5612473812581182
E159 = 2.9925415398706177
D160 = 3.570205635565209
E160 = 2.9484290242377473
D161 = 3.577915405790378
E161 = 2.9035615420728837
D162 = 3.5843141702342276
E162 = 2.858048323546282
D163 = 3.5893486942526582
E163 = 2.8120072847020565
D164 = 3.5929762228880584
E164 = 2.76556365089524
D165 = 3.595165469294344
E165 = 2.718848350229051
D166 = 3.595897355163726
E166 = 2.6719962216624693
D167 = 3.595165469294344
E167 = 2.6251440930958876
D168 = 3.5929762228880584
E168 = 2.5784287924296985
D169 = 3.5893486942526582
E169 = 2.531985158622882
D170 = 3.5843141702342276
E170 = 2.4859441197786567
D171 = 3.577915405790378
E171 = 2.440430901252055
D172 = 3.570205635565209
E172 = 2.3955634190871913
D173 = 3.5612473812581182
E173 = 2.351450903454321
D174 = 3.5511111053817235
E174 = 2.3081927841079697
D175 = 3.5398737653945744
E175 = 2.2658778562850435
D176 = 3.5276173222162703
E176 = 2.224583731958549
D177 = 3.514427254121026
E177 = 2.1843765688958974
D178 = 3.5003911215172927
E178 = 2.145311059279882
D179 = 3.4947495025748605
E179 = 2.130505067825901
D180 = 3.479188927906522
E180 = 2.091906207286458
D181 = 3.462953254651738
E181 = 2.054616138022722
D182 = 3.4551720651566242
E182 = 2.0376680236657836
D183 = 3.4375381416636
E183 = 2.0011758284125323
D184 = 3.4194267669284315
E184 = 1.966113868721293
D185 = 3.4009306339366443
E185 = 1.9324773636911488
D186 = 3.3703576044609043
E186 = 1.880951928995255
D187 = 3.350589049533356
E187 = 1.84995683569616
D188 = 3.3307165340366853
E188 = 1.82039678795698
D189 = 3.295897355163726
E189 = 1.7719962216624694
D190 = 3.27537486339736
E190 = 1.745263893764614
D191 = 3.25874983343966
E191 = 1.7244867949191158
D192 = 3.2377622008937927
E192 = 1.6992965382627827
D193 = 3.219392198899297
E193 = 1.678135398357926
D194 = 3.198102522104958
E194 = 1.6545760675628705
D195 = 3.1779783367101535
E195 = 1.633198479377899
D196 = 3.1565575269435473
E196 = 1.6113360498826481
D197 = 3.1346950974482963
E197 = 1.589915240116042
D198 = 3.1133175092633247
E198 = 1.5697910547212375
D199 = 3.0924431134086054
E199 = 1.5508822436369798
D200 = 3.0685970385634125
E200 = 1.5301313759324024
D201 = 3.022629683061581
E201 = 1.4925187134288354
D202 = 3.0024770772250733
E202 = 1.476959315308875
D203 = 2.982942850605002
E203 = 1.4623887278789112
D204 = 2.9640178640754087
E204 = 1.4487355045596433
D205 = 2.91888201739396
E205 = 1.4179243554068754
D206 = 2.901210593453465
E206 = 1.4065039900643082
D207 = 2.8733499293037426
E207 = 1.3891994743314426
D208 = 2.856427545008817
E208 = 1.3790948989258152
D209 = 2.827629391661139
E209 = 1.3625809984565727
D210 = 2.8115351495200773
E210 = 1.3537160741639278
D211 = 2.79603528450091
E211 = 1.3454190923920148
D212 = 2.752095933437685
E212 = 1.3231435885437752
D213 = 2.738026872272293
E213 = 1.3163894633221611
D214 = 2.7244846213563463
E214 = 1.310057144911792
D215 = 2.6952754859346184
E215 = 1.296952274599834
D216 = 2.682608315681003
E216 = 1.2914998439747574
D217 = 2.6529833696948817
E217 = 1.2792811853345802
D218 = 2.641211083642786
E218 = 1.274629792434879
D219 = 2.629890346551708
E219 = 1.2702646192690172
D220 = 2.589955589641167
E220 = 1.2556959494938045
D221 = 2.579908246845934
E221 = 1.2522309393946593
D222 = 2.570239004188983
E222 = 1.2489712745866988
D223 = 2.541497184118092
E223 = 1.2397110571662926
D224 = 2.503832863002647
E224 = 1.2285321170016705
D225 = 2.495776436971319
E225 = 1.2262795412811727
D226 = 2.4669722230624567
E226 = 1.2186196557257745
D227 = 2.4597007927182255
E227 = 1.2167824714444715
D228 = 2.4309615896578203
E228 = 1.209897743870058
D229 = 2.4244548686238057
E229 = 1.2084218435221135
D230 = 2.418190029176406
E230 = 1.2070295216048343
D231 = 2.3900715578710017
E231 = 1.201125208126089
D232 = 2.3616268526366238
E232 = 1.1957212357019265
D233 = 2.3565753560272973
E233 = 1.1948208834355643
D234 = 2.3283490084315437
E234 = 1.1901169320801301
D235 = 2.3239831315446375
E235 = 1.1894386751865436
D236 = 2.2960153733760347
E236 = 1.1854052292281756
D237 = 2.292304909045529
E237 = 1.1849104565573876
D238 = 2.264630878085134
E238 = 1.181516769190034
D239 = 2.261544644275996
E239 = 1.181170619652041
D240 = 2.2341946710048304
E240 = 1.178385210578544
D241 = 2.206704883436694
E241 = 1.1760945899774058
D242 = 2.204700898831958
E242 = 1.1759474962242784
D243 = 2.1775940949035304
E243 = 1.1742226597660501
D244 = 2.15040678232444
E244 = 1.172986974742821
D245 = 2.123165575664998
E245 = 1.172244094092485
D246 = 2.095897355163726
E246 = 1.1719962216624693
D247 = 2.0686291346624532
E247 = 1.172244094092485
D248 = 2.042360059395107
E248 = 1.172951940141145
D249 = 2.015655273106308
E249 = 1.1741440232573361
D250 = 1.9890267801818613
E250 = 1.1758081719163669
D251 = 1.9624994482019675
E251 = 1.1779396636907766
D252 = 1.936097669712328
E252 = 1.1805324907827557
D253 = 1.9098452532799133
E253 = 1.1835794065919678
D254 = 1.8837653208077616
E254 = 1.1870719811707193
D255 = 1.8578802120880933
E255 = 1.1910006647474212
D256 = 1.806779399117334
E256 = 1.2001229908808382
D257 = 1.7567027943647018
E257 = 1.2108504212974416
D258 = 1.6944315594845838
E258 = 1.2267193572175583
D259 = 1.6697648606266648
E259 = 1.2337990525998885
D260 = 1.6454685423146609
E260 = 1.2412223455536755
D261 = 1.6215557061384689
E261 = 1.2489712745866988
D262 = 1.6135237156268905
E262 = 1.2516738385817874
D263 = 1.589705411419387
E263 = 1.259987115428261
D264 = 1.5663114765123622
E264 = 1.2685936432363558
D265 = 1.534202780761801
E265 = 1.28113346600056
D266 = 1.5017606880117507
E266 = 1.2946794023556176
D267 = 1.4792357255034982
E267 = 1.3046160863289213
D268 = 1.436096181948631
E268 = 1.3249021596816497
D269 = 1.4141918426319149
E269 = 1.3358534171001197
D270 = 1.3487106643112552
E270 = 1.371337907956316
D271 = 1.3365965020173909
E271 = 1.3783725459316762
D272 = 1.3034445249750464
E272 = 1.3984113160020921
D273 = 1.2704273119629916
E273 = 1.4195589147372174
D274 = 1.2376249611276045
E274 = 1.4418057902106942
D275 = 1.2186949920996928
E275 = 1.4552316535413903
D276 = 1.2051189099080553
E276 = 1.4651351022838184
D277 = 1.1729910720592525
E277 = 1.4895225464348618
D278 = 1.1553832473462993
E278 = 1.5034786937680906
D279 = 1.1244247250204153
E279 = 1.5290872450232804
D280 = 1.110194554515085
E280 = 1.541337126800793
D281 = 1.094032742497841
E281 = 1.5556327961204834
D282 = 1.0642803832975516
E282 = 1.583067195803729
D283 = 1.0498649154585453
E283 = 1.5969073252988113
D284 = 1.0352371833839047
E284 = 1.611336049882648
D285 = 1.0069683293049858
E285 = 1.6403792497962948
D286 = 0.992579697425096
E286 = 1.6557825895347835
D287 = 0.952988378524537
E287 = 1.7005235915191586
D288 = 0.9388374373536101
E288 = 1.7174217894691237
D289 = 0.9134236799361184
E289 = 1.7490899385579954
D290 = 0.8791327870426473
E290 = 1.7947938585984353
D291 = 0.8565563409524044
E291 = 1.8269909847002048
D292 = 0.8350408025232774
E292 = 1.8594442210719573
D293 = 0.8223124495033489
E293 = 1.8795433914737898
D294 = 0.802273679432933
E294 = 1.9126953685161343
D295 = 0.7952390414575727
E295 = 1.9248095308099984
D296 = 0.7833462915371014
E296 = 1.9459041439115707
D297 = 0.7769594053585649
E297 = 1.9575714988513402
D298 = 0.7655262289132565
E298 = 1.9790945934070165
D299 = 0.7597545506013765
E299 = 1.990290709130658
D300 = 0.7488032931829065
E300 = 2.012195048447374
D301 = 0.7331616761458639
E301 = 2.0451378093142525
D302 = 0.7185805358568742
E302 = 2.0778595545104936
D303 = 0.7050345995018166
E303 = 2.110301647260544
D304 = 0.6958789458591366
E304 = 2.1335276026991656
D305 = 0.6869999694776183
E305 = 2.1572067922771607
D306 = 0.6838882489295175
E306 = 2.1658042779181303
D307 = 0.675574972083044
E307 = 2.189622582125634
D308 = 0.6784182450033387
E308 = 2.18133037583772
D309 = 0.7095052154286885
E309 = 2.09935599003278
D310 = 0.7474125519078219
E310 = 2.015042086742926
D311 = 0.7685200215907524
E311 = 1.9733765724135355
D312 = 0.7830350520048217
E312 = 1.9464670541272848
D313 = 0.7913684823094309
E313 = 1.9315879424748965
D314 = 0.8065935231327341
E314 = 1.905383132346744
D315 = 0.8374554246222383
E315 = 1.855709564013936
D316 = 0.8530139021265957
E316 = 1.8322101047454893
D317 = 0.8958973551637257
E317 = 1.7719962216624694
D318 = 0.9408650138053827
E318 = 1.7149694245369846
D319 = 0.9546464272250974
E319 = 1.6985763125383442
D320 = 0.9711405721160871
E320 = 1.6795637660321998
D321 = 0.987463589293732
E321 = 1.6613654351339453
D322 = 1.0190467649871435
E322 = 1.6277774675518444
D323 = 1.06785030665624
E323 = 1.5796962326232646
D324 = 1.0837435558463229
E324 = 1.5649530036590589
D325 = 1.1171126521239099
E325 = 1.5353430181323606
D326 = 1.1664309222951947
E326 = 1.49467207336233
D327 = 1.2008432056468847
E327 = 1.468302710243269
D328 = 1.2357038386187338
E328 = 1.4431483408839085
D329 = 1.284760968193478
E329 = 1.410228508597639
D330 = 1.34196666910193
E330 = 1.37523544163618
D331 = 1.3776191591428661
E331 = 1.3551528622908926
D332 = 1.4132307654800642
E332 = 1.3363441983683484
D333 = 1.4250769619137889
E333 = 1.3303554351625955
D334 = 1.4487141092077183
E334 = 1.3187948892089996
D335 = 1.472958830779257
E335 = 1.3074642158679184
D336 = 1.5085646090178246
E336 = 1.2917642682196016
D337 = 1.5337135919175897
E337 = 1.2813311231062379
D338 = 1.5856932326820685
E338 = 1.2614318830367113
D339 = 1.6125016584572693
E339 = 1.2520213625872534
D340 = 1.711245306626896
E340 = 1.2221538848698026
D341 = 1.7673398417036459
E341 = 1.2084218435221135
D342 = 1.8249200746712269
E342 = 1.19667547231442
D343 = 1.8541995068104977
E343 = 1.1915969004989462
D344 = 1.8837653208077616
E344 = 1.1870719811707193
D345 = 1.9738543409813656
E345 = 1.1769692979285573
D346 = 2.0347238008922615
E346 = 1.173244142011603
D347 = 2.095897355163726
E347 = 1.1719962216624693
D348 = 2.126503227157505
E348 = 1.1723084939673
MIN = Min(L_1)
F1 = 2.1514148459285463
G1 = 1.1730239710123187
F2 = 2.095897355163726
G2 = 1.1719962216624693
F3 = 2.068124339154694
G3 = 1.1722533571747724
F4 = 2.040379864398905
G4 = 1.1730239710123187
F5 = 2.012692325729941
G5 = 1.1743056918543506
F6 = 1.9850898268907584
G6 = 1.1760945899774058
F7 = 1.9576000393226218
G7 = 1.178385210578544
F8 = 1.930250066051456
G8 = 1.181170619652041
F9 = 1.9030663122016338
G9 = 1.184442461669187
F10 = 1.8720183166686495
G10 = 1.1887975916325868
F11 = 1.8447753056797664
G11 = 1.1931663747013743
F12 = 1.8126262646885392
G12 = 1.1989865511914983
F13 = 1.779640546784149
G13 = 1.2057146555389762
F14 = 1.7523383545754052
G14 = 1.2118704691621052
F15 = 1.6988218824919714
G15 = 1.225506999786792
F16 = 1.6387337645080504
G16 = 1.243360000863483
F17 = 1.5878181527546134
G17 = 1.260665103859379
F18 = 1.5536055734274175
G18 = 1.2734542582372526
F19 = 1.494669104134164
G19 = 1.2977602193091857
F20 = 1.4709152894239055
G20 = 1.3083989873210429
F21 = 1.4477170845178966
G21 = 1.3192721785755213
F22 = 1.4029957269082733
G22 = 1.3416250954119997
F23 = 1.381472632352597
G23 = 1.353058271857308
F24 = 1.3605054957148874
G24 = 1.3646329159756454
F25 = 1.3400908168775965
G25 = 1.3763278703148192
F26 = 1.3202238952753533
G26 = 1.3881229087437836
F27 = 1.300898945158956
G27 = 1.3999987656548374
F28 = 1.2821092079502294
G28 = 1.4119371550093125
F29 = 1.2757140037556356
G29 = 1.4160904648188306
F30 = 1.2579967859451298
G30 = 1.427840831004553
F31 = 1.2407750328542848
G31 = 1.439614051275333
F32 = 1.2240400645850815
G32 = 1.4513960148523666
F33 = 1.2077827042226885
G33 = 1.4631735023260566
F34 = 1.1919933556602929
G34 = 1.4749341682660309
F35 = 1.1648429386153845
G35 = 1.495927484969827
F36 = 1.1380386507677536
G36 = 1.5176536804673222
F37 = 1.1258694777109852
G37 = 1.527860776461801
F38 = 1.1405751846692889
G38 = 1.515553594221835
F39 = 1.1557593879389658
G39 = 1.5031760461938493
F40 = 1.17143496267656
G40 = 1.4907387201510904
F41 = 1.1837820384809907
G41 = 1.4811790026600091
F42 = 1.2167176753706421
G42 = 1.4566596054779117
F43 = 1.246104120833128
G43 = 1.4359333353634178
F44 = 1.2638470608258825
G44 = 1.4239207801557034
F45 = 1.2821092079502294
G45 = 1.4119371550093125
F46 = 1.2939347862570318
G46 = 1.4043779675841463
F47 = 1.3126665657059309
G47 = 1.3927192655480714
F48 = 1.3629923017659615
G48 = 1.363237197737889
F49 = 1.3940657745351768
G49 = 1.3463143471418766
F50 = 1.4250769619137889
G50 = 1.3303554351625955
F51 = 1.4459557028619088
G51 = 1.3201175848746902
F52 = 1.4673100889711055
G52 = 1.310057144911792
F53 = 1.5114373689086789
G53 = 1.2905453450596311
F54 = 1.534202780761801
G54 = 1.28113346600056