ejercicio sobre flujo vehicular

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  • 7/23/2019 Ejercicio sobre Flujo vehicular

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    Perodo 6:00 6:05 6:10 6:15 6:20 6:25 6:30 6:35 6:40 6:45 6:50

    6:05 6:10 6:15 6:20 6:25 6:30 6:35 6:40 6:45 6:50 6:55Da 1 81 56 57 120 97 87 112 78 76 76 80Da 2 52 52 38 33 32 67 87 86 48 46 43

    137 177 184 190 152

    104 71 99 173 94

    Dia 1

    FHMD 5 = 0.7563

    FHMD 10 = 0.8318

    Dia 2

    FHMD 5 = 0.6648

    FHMD 10 = 0.659

    6 : 0

    0

    6 : 0

    5

    6 : 1

    0

    6 : 1

    5

    6 : 2

    0

    6 : 2

    5

    6 : 3

    0

    6 : 3

    5

    6 : 4

    0

    6 : 4

    5

    6 : 5

    0

    6 : 5

    5

    7 : 0

    00

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    140Da 1 (5 min)

    6:00 6:10 6:20 6:30 6:40 6:50 70

    50

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    150

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    250 Da 1 (10 min)

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    6:55 7:00 7:05 7:10 7:15 7:20 7:25 7:30 7:35 7:40 6:00 6:107:00 7:05 7:10 7:15 7:20 7:25 7:30 7:35 7:40 7:45 137 17763 98 114 88 56 34 43 32 45 41 104 7138 67 33 56 78 45 57 23 34 38

    983 1000 1058 1089 1025 962 918 838 805 770143 212 144 77 77

    983 1058 1025 918 805

    622 637 618 636 681 694 684 620 568 55881 100 134 102 57

    622 618 681 684 568

    7 : 0

    5

    7 : 1

    0

    7 : 1

    5

    7 : 2

    0

    7 : 2

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    7 : 3

    0

    7 : 3

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    7 : 4

    0

    6 : 0

    0

    6 : 0

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    6 : 1

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    6 : 1

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    6 : 2

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    6 : 3

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    6 : 3

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    6 : 4

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    6 : 5

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    6 : 5

    5

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    7 : 0

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    7 : 1

    0

    7 : 1

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    7 : 2

    0

    7 : 2

    5

    7 : 3

    0

    7 : 3

    5

    7 : 4

    00

    10

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    30

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    50

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    7080

    90

    100Da 2 (5 min)

    :00 7:10 7:20 7:30 6:00 6:10 6:20 6:30 6:40 6:50 7:00 7:10 7:20 7:30

    20

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    160

    180

    200Da 2 (10 min)

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    6:20 6:30 6:40 6:50 7:00 7:10 7:20 7:30184 190 152 143 212 144 77 77

    99 173 94 81 100 134 102 57

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    Vl = 90Kc = 160

    Vl/c = 0.56

    !e"o:

    #o$ Ve = 0

    0 = 90 % 0.56 &

    & = 160.714286 = 161 'e(

    Fl!)o *+,i*o

    8.2 33.3987296-* = 3600 = 3623 Ve(/K*/carril 8 21.6

    9 81.410 14011 197.4

    &1 = 8.2 12 253.6a = %0.56 &2 = 152.5 13 308.6

    = 90 14 362.4c = %700 15 415

    16 466.417 516.618 565.619 613.420 660

    Ve = 85.4103947 21 705.44.5896053 22 749.6

    23 792.624 834.425 875

    10.9 2. En un tramo de carretera se tiene una velocidad de flujo libre de 90 Km/h y unadensidad de congestionamiento de 160 veh/Km. Se desea determinar!as ecuaciones del modelo lineal "ue caracteri#an el flujo vehicular$ !a ca%acidad$ El intervalo

    %romedio a flujo m&'imo$ !as densidades y velocidades corres%ondientes a un flujo de demanda de(00 veh/h

    q = v l k (v lk c )k 2

    v e = vl ( v lk c )k =

    qm=vl k c

    4=

    90 (160 )4

    700 = 90 k 0.56 k 2

    v e = 90 0 .56 k

    v e = vl

    2

    v l2 4

    ( vl

    k c )q

    2= 70

    2

    70 2 4

    (70

    117 )8

    2

    q= 90 k 0.56 k 2

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    26 914.427 952.628 989.629 1025.430 106031 1093.4

    Ve = 45 rai 2025 %0.56 - 32 1125.6

    33 1156.65776 34 1186.4- Ve 35 1215

    0 90 0 1444 36 1242.41 89.9937773 0.006222652 Ve & 37 1268.62 89.9875538 0.012446166 0 70 38 1293.63 89.9813295 0.01867054 1 69.4 39 1317.44 89.9751042 0.024895776 2 68.8 40 13405 89.9688781 0.031121873 3 68.2 41 1361.46 89.9626512 0.037348833 4 67.6 42 1381.67 89.9564233 0.043576655 5 67 43 1400.68 89.9501947 0.04980534 6 66.4 44 1418.4

    9 89.9439651 0.056034888 7 65.8 45 143510 89.9377347 0.0622653 8 65.2 46 1450.411 89.9315034 0.068496575 9 64.6 47 1464.612 89.9252713 0.074728715 10 64 48 1477.613 89.9190383 0.08096172 11 63.4 49 1489.414 89.9128044 0.08719559 12 62.8 50 150015 89.9065697 0.093430325 13 62.2 51 1509.416 89.9003341 0.099665926 14 61.6 52 1517.617 89.8940976 0.105902392 15 61 53 1524.618 89.8878603 0.1121397258 16 60.4 54 1530.419 89.8816221 0.1183779259 17 59.8 55 153520 89.875383 0.124616993 18 59.2 56 1538.4

    21 89.8691431 0.130856928 19 58.6 57 1540.622 89.8629023 0.137097731 20 58 58 1541.623 89.8566606 0.143339402 21 57.4 59 1541.424 89.8504181 0.149581942 22 56.8 60 154025 89.8441746 0.15582535 23 56.2 61 1537.426 89.8379304 0.162069628 24 55.6 62 1533.627 89.8316852 0.168314776 25 55 63 1528.628 89.8254392 0.174560794 26 54.4 64 1522.429 89.8191923 0.180807682 27 53.8 65 151530 89.8129446 0.187055442 28 53.2 66 1506.431 89.8066959 0.193304072 29 52.6 67 1496.632 89.8004464 0.199553574 30 52 68 1485.6

    33 89.7941961 0.205803947 31 51.4 69 1473.434 89.7879448 0.212055193 32 50.8 70 146035 89.7816927 0.218307312 33 50.2 71 1445.436 89.7754397 0.224560304 34 49.6 72 1429.637 89.7691858 0.230814169 35 49 73 1412.638 89.7629311 0.237068907 36 48.4 74 1394.439 89.7566755 0.24332452 37 47.8 75 137540 89.750419 0.249581008 38 47.2 76 1354.441 89.7441616 0.25583837 39 46.6 77 1332.642 89.7379034 0.262096607 40 46 78 1309.6

    v e =v l2

    v l2 4 ( vlk c )q

    2=

    70

    270 2 4 (70117 )8

    2

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    43 89.7316443 0.26835572 41 45.4 79 1285.444 89.7253843 0.274615709 42 44.8 80 126045 89.7191234 0.280876574 43 44.2 81 1233.446 89.7128617 0.287138316 44 43.6 82 1205.647 89.7065991 0.293400935 45 43 83 1176.648 89.7003356 0.299664431 46 42.4 84 1146.449 89.6940712 0.305928805 47 41.8 85 1115

    50 89.6878059 0.312194057 48 41.2 86 1082.451 89.6815398 0.318460188 49 40.6 87 1048.652 89.6752728 0.324727197 50 40 88 1013.653 89.6690049 0.330995086 51 39.4 89 977.454 89.6627361 0.337263855 52 38.8 90 94055 89.6564665 0.343533503 53 38.2 91 901.456 89.650196 0.349804032 54 37.6 92 861.657 89.6439246 0.356075441 55 37 93 820.658 89.6376523 0.362347732 56 36.4 94 778.459 89.6313791 0.368620904 57 35.8 95 73560 89.625105 0.374894958 58 35.2 96 690.461 89.6188301 0.3811698943 59 34.6 97 644.6

    62 89.6125543 0.387445713 60 34 98 597.663 89.6062776 0.393722415 61 33.4 99 549.464 89.6 0.4 62 32.8 100 50065 89.5937215 0.406278469 63 32.2 101 449.466 89.5874422 0.412557822 64 31.6 102 397.667 89.5811619 0.418838059 65 31 103 344.668 89.5748808 0.4251191813 66 30.4 104 290.469 89.5685988 0.4314011887 67 29.8 105 23570 89.5623159 0.437684082 68 29.2 106 178.471 89.5560321 0.443967861 69 28.6 107 120.672 89.5497475 0.450252526 70 28 108 61.673 89.5434619 0.456538078 71 27.4 109 1.4

    74 89.5371755 0.462824517 72 26.875 89.5308882 0.4691118436 73 26.276 89.5245999 0.475400058 74 25.677 89.5183108 0.481689161 75 2578 89.5120208 0.487979152 76 24.479 89.50573 0.494270032 77 23.880 89.4994382 0.500561801 78 23.281 89.4931455 0.50685446 79 22.682 89.486852 0.51314801 80 2283 89.4805576 0.51944245 81 21.484 89.4742622 0.52573778 82 20.885 89.467966 0.532034002 83 20.2

    86 89.4616689 0.5383311154 84 19.687 89.4553709 0.544629121 85 1988 89.449072 0.550928019 86 18.489 89.4427722 0.557227809 87 17.890 89.4364715 0.563528493 88 17.291 89.4301699 0.56983007 89 16.692 89.4238675 0.576132541 90 1693 89.4175641 0.582435907 91 15.494 89.4112598 0.588740166 92 14.895 89.4049547 0.595045321 93 14.2

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    96 89.3986486 0.601351372 94 13.697 89.3923417 0.607658318 95 1398 89.3860338 0.613966161 96 12.499 89.3797251 0.620274899 97 11.8

    100 89.3734155 0.626584535 98 11.2101 89.3671049 0.632895069 99 10.6102 89.3607935 0.639206499 100 10

    103 89.3544812 0.645518828 101 9.4104 89.3481679 0.651832056 102 8.8105 89.3418538 0.658146182 103 8.2106 89.3355388 0.664461208 104 7.6107 89.3292229 0.670777133 105 7108 89.322906 0.677093958 106 6.4109 89.3165883 0.6834116837 107 5.8110 89.3102697 0.68973031 108 5.2111 89.3039502 0.696049838 109 4.6112 89.2976297 0.702370267 110 4113 89.2913084 0.708691598 111 3.4114 89.2849862 0.715013831 112 2.8

    115 89.278663 0.721336967 113 2.2116 89.272339 0.727661006 114 1.6117 89.2660141 0.733985949 115 1118 89.2596882 0.740311795 116 0.4119 89.2533615 0.746638546 116.1 0.34120 89.2470338 0.7529662011 116.2 0.28121 89.2407052 0.759294761 116.3 0.22122 89.2343758 0.765624227 116.4 0.16123 89.2280454 0.771954599 116.5 0.1124 89.2217141 0.778285877 116.6 0.04125 89.2153819 0.7846180611 116.61 0.034126 89.2090488 0.7909511525 116.62 0.028

    127 89.2027148 0.797285151 116.63 0.022128 89.1963799 0.803620058 116.64 0.016129 89.1900441 0.809955872 116.65 0.01130 89.1837074 0.816292596 116.66 0.004131 89.1773698 0.822630228 116.661 0.0034132 89.1710312 0.828968769 116.662 0.0028133 89.1646918 0.83530822 116.663 0.0022134 89.1583514 0.841648581 116.664 0.0016135 89.1520101 0.847989853 116.665 0.001136 89.145668 0.854332036 116.666 0.0004137 89.1393249 0.86067513 116.6661 0.00034138 89.1329809 0.867019135 116.6662 0.00028

    139 89.1266359 0.873364053 116.6663 0.00022140 89.1202901 0.879709883 116.6664 0.00016141 89.1139434 0.886056626 116.6665 0.0001142 89.1075957 0.892404282 116.6666 0.00004143 89.1012471 0.898752852144 89.0948977 0.905102336145 89.0885473 0.9114527343146 89.082196 0.917804047147 89.0758437 0.924156276148 89.0694906 0.93050942

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    149 89.0631365 0.93686348150 89.0567815 0.943218456151 89.0504257 0.949574349152 89.0440688 0.9559311598153 89.0377111 0.962288888154 89.0313525 0.968647534155 89.0249929 0.975007098

    156 89.0186324 0.981367581157 89.012271 0.987728984158 89.0059087 0.994091306159 88.9995455 1.000454548160 88.9931813 1.00681871161 88.9868162 1.013183793162 88.9804502 1.019549798163 88.9740833 1.025916724164 88.9677154 1.032284572165 88.9613467 1.038653342166 88.954977 1.045023035167 88.9486063 1.051393651

    168 88.9422348 1.0577651911169 88.9358623 1.064137655170 88.929489 1.0705110433171 88.9231146 1.076885356172 88.9167394 1.083260595173 88.9103632 1.089636759174 88.9039862 1.096013848175 88.8976081 1.102391865176 88.8912292 1.108770808177 88.8848493 1.1151506782178 88.8784685 1.121531476179 88.8720868 1.127913202

    180 88.8657041 1.134295857181 88.8593206 1.14067944182 88.852936 1.147063952183 88.8465506 1.153449395184 88.8401642 1.159835767185 88.8337769 1.166223069186 88.8273887 1.172611303187 88.8209995 1.179000468188 88.8146094 1.185390564189 88.8082184 1.191781593190 88.8018264 1.198173554191 88.7954336 1.204566448

    192 88.7890397 1.210960275193 88.782645 1.217355036194 88.7762493 1.223750732195 88.7698526 1.230147361196 88.7634551 1.236544926197 88.7570566 1.242943426198 88.7506571 1.249342862199 88.7442568 1.255743234200 88.7378555 1.262144543201 88.7314532 1.268546788

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    202 88.72505 1.274949971203 88.7186459 1.281354092204 88.7122408 1.287759151205 88.7058349 1.294165149206 88.6994279 1.300572086207 88.69302 1.306979962208 88.6866112 1.313388779

    209 88.6802015 1.319798535210 88.6737908 1.326209233211 88.6673791 1.332620871212 88.6609665 1.339033451213 88.654553 1.345446973214 88.6481386 1.351861437215 88.6417232 1.358276844216 88.6353068 1.364693195217 88.6288895 1.3711104886218 88.6224713 1.377528727219 88.6160521 1.383947909220 88.609632 1.390368036

    221 88.6032109 1.396789109222 88.5967889 1.4032111274223 88.5903659 1.409634092224 88.583942 1.416058003225 88.5775171 1.422482861226 88.5710913 1.428908666227 88.5646646 1.43533542228 88.5582369 1.4417631211229 88.5518082 1.448191771230 88.5453786 1.45462137231 88.5389481 1.461051919232 88.5325166 1.467483418

    233 88.5260841 1.473915866234 88.5196507 1.480349266235 88.5132164 1.486783617236 88.5067811 1.493218919237 88.5003448 1.499655174238 88.4939076 1.506092381239 88.4874695 1.51253054240 88.4810303 1.518969653241 88.4745903 1.52540972242 88.4681493 1.531850741243 88.4617073 1.538292716244 88.4552644 1.544735647

    245 88.4488205 1.5511795327246 88.4423756 1.557624374247 88.4359298 1.564070172248 88.4294831 1.570516927249 88.4230354 1.576964639250 88.4165867 1.583413308251 88.4101371 1.589862935252 88.4036865 1.596313521253 88.3972349 1.602765065254 88.3907824 1.609217569

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    255 88.384329 1.615671032256 88.3778745 1.622125455257 88.3714192 1.628580839258 88.3649628 1.635037184259 88.3585055 1.641494491260 88.3520472 1.647952759261 88.345588 1.6544119892

    262 88.3391278 1.660872182263 88.3326667 1.667333338264 88.3262045 1.673795458265 88.3197415 1.680258542266 88.3132774 1.68672259267 88.3068124 1.693187603268 88.3003464 1.6996535811269 88.2938795 1.706120525270 88.2874116 1.712588435271 88.2809427 1.7190573116272 88.2744728 1.725527155273 88.268002 1.731997966

    274 88.2615303 1.738469745275 88.2550575 1.744942492276 88.2485838 1.751416208277 88.2421091 1.757890893278 88.2356335 1.764366548279 88.2291568 1.770843173280 88.2226792 1.777320768281 88.2162007 1.783799334282 88.2097211 1.790278872283 88.2032406 1.796759381284 88.1967591 1.803240862285 88.1902767 1.809723316

    286 88.1837933 1.816206744287 88.1773089 1.8226911445288 88.1708235 1.829176519289 88.1643371 1.835662869290 88.1578498 1.842150193291 88.1513615 1.848638492292 88.1448722 1.855127767293 88.138382 1.861618018294 88.1318908 1.868109246295 88.1253985 1.8746014511296 88.1189054 1.881094634297 88.1124112 1.887588794

    298 88.1059161 1.894083933299 88.0994199 1.90058005300 88.0929229 1.907077147301 88.0864248 1.913575224302 88.0799257 1.92007428303 88.0734257 1.926574318304 88.0669247 1.933075336305 88.0604227 1.939577336306 88.0539197 1.946080318307 88.0474157 1.952584282

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    308 88.0409108 1.959089229309 88.0344048 1.965595159310 88.0278979 1.972102073311 88.02139 1.978609971312 88.0148811 1.9851188541313 88.0083713 1.991628722314 88.0018604 1.998139575

    315 87.9953486 2.004651414316 87.9888358 2.01116424317 87.9823219 2.017678052318 87.9758071 2.024192852319 87.9692914 2.03070864320 87.9627746 2.037225415321 87.9562568 2.04374318322 87.9497381 2.050261933323 87.9432183 2.056781676324 87.9366976 2.063302409325 87.9301759 2.069824133326 87.9236532 2.076346847

    327 87.9171294 2.082870553328 87.9106047 2.08939525329 87.9040791 2.09592094330 87.8975524 2.102447622331 87.8910247 2.108975298332 87.884496 2.1155039671333 87.8779664 2.12203363334 87.8714357 2.128564288335 87.8649041 2.135095941336 87.8583714 2.141628589337 87.8518378 2.148162233338 87.8453031 2.154696874

    339 87.8387675 2.161232511340 87.8322309 2.167769145341 87.8256932 2.174306777342 87.8191546 2.180845408343 87.812615 2.187385037344 87.8060743 2.193925665345 87.7995327 2.200467292346 87.7929901 2.20700992347 87.7864465 2.213553548348 87.7799018 2.220098177349 87.7733562 2.226643807350 87.7668096 2.233190439

    351 87.7602619 2.239738074352 87.7537133 2.246286711353 87.7471636 2.252836351354 87.740613 2.259386996355 87.7340614 2.265938644356 87.7275087 2.272491297357 87.720955 2.279044954358 87.7144004 2.285599618359 87.7078447 2.292155287360 87.701288 2.2987119632

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    361 87.6947304 2.305269646362 87.6881717 2.3118283362363 87.681612 2.318388034364 87.6750513 2.324948741365 87.6684895 2.331510456366 87.6619268 2.33807318367 87.6553631 2.344636914

    368 87.6487983 2.351201658369 87.6422326 2.357767413370 87.6356658 2.364334179371 87.629098 2.370901957372 87.6225293 2.377470746373 87.6159595 2.384040548374 87.6093886 2.3906113632375 87.6028168 2.397183192376 87.596244 2.403756034377 87.5896701 2.410329891378 87.5830952 2.416904763379 87.5765194 2.42348065

    380 87.5699424 2.430057552381 87.5633645 2.436635471382 87.5567856 2.443214407383 87.5502056 2.44979436384 87.5436247 2.456375331385 87.5370427 2.46295732386 87.5304597 2.469540327387 87.5238756 2.476124353388 87.5172906 2.4827094389 87.5107045 2.489295466390 87.5041174 2.495882552391 87.4975293 2.50247066

    392 87.4909402 2.509059789393 87.4843501 2.51564994394 87.4777589 2.5222411137395 87.4711667 2.52883331396 87.4645735 2.53542653397 87.4579792 2.542020773398 87.451384 2.548616041399 87.4447877 2.555212334400 87.4381903 2.561809652401 87.431592 2.568407996402 87.4249926 2.575007366403 87.4183922 2.581607763

    404 87.4117908 2.588209187405 87.4051884 2.5948116382406 87.3985849 2.601415118407 87.3919804 2.608019626408 87.3853748 2.614625164409 87.3787683 2.621231731410 87.3721607 2.627839328411 87.365552 2.634447956412 87.3589424 2.641057615413 87.3523317 2.647668305

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    414 87.34572 2.654280027415 87.3391072 2.660892782416 87.3324934 2.66750657417 87.3258786 2.674121391418 87.3192628 2.680737246419 87.3126459 2.687354136420 87.3060279 2.693972061

    421 87.299409 2.700591021422 87.292789 2.7072110165423 87.286168 2.713832049424 87.2795459 2.7204541179425 87.2729228 2.727077224426 87.2662986 2.733701369427 87.2596734 2.740326551428 87.2530472 2.746952773429 87.24642 2.753580033430 87.2397917 2.760208334431 87.2331623 2.766837675432 87.2265319 2.773468056

    433 87.2199005 2.780099479434 87.2132681 2.786731944435 87.2066345 2.79336545436 87.2 2.8437 87.1933644 2.806635593438 87.1867278 2.813272229439 87.1800901 2.81990991440 87.1734514 2.826548635441 87.1668116 2.833188406442 87.1601708 2.839829222443 87.1535289 2.846471085444 87.146886 2.853113994

    445 87.140242 2.85975795446 87.133597 2.866402954447 87.126951 2.873049007448 87.1203039 2.879696107449 87.1136557 2.886344257450 87.1070065 2.892993457451 87.1003563 2.899643707452 87.093705 2.906295007453 87.0870526 2.912947359454 87.0803992 2.919600762455 87.0737448 2.926255218456 87.0670893 2.932910726

    457 87.0604327 2.939567287458 87.0537751 2.946224902459 87.0471164 2.952883571460 87.0404567 2.959543295461 87.0337959 2.966204073462 87.0271341 2.972865908463 87.0204712 2.979528798464 87.0138073 2.986192746465 87.0071422 2.99285775466 87.0004762 2.999523812

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    467 86.9938091 3.006190932468 86.9871409 3.0128591114469 86.9804717 3.019528349470 86.9738014 3.026198647471 86.96713 3.032870005472 86.9604576 3.039542424473 86.9537841 3.046215904

    474 86.9471096 3.052890445475 86.940434 3.059566049476 86.9337573 3.066242715477 86.9270796 3.072920445478 86.9204008 3.079599239479 86.9137209 3.086279096480 86.90704 3.092960019481 86.900358 3.099642006482 86.8936749 3.10632506483 86.8869908 3.1130091795484 86.8803056 3.119694366485 86.8736194 3.12638062

    486 86.8669321 3.133067941487 86.8602437 3.139756331488 86.8535542 3.14644579489 86.8468637 3.153136318490 86.8401721 3.159827916491 86.8334794 3.166520585492 86.8267857 3.173214324493 86.8200909 3.179909134494 86.813395 3.186605017495 86.806698 3.193301972496 86.8 3.2497 86.7933009 3.206699101

    498 86.7866007 3.213399277499 86.7798995 3.220100527500 86.7731971 3.226802852501 86.7664937 3.233506252502 86.7597893 3.240210729503 86.7530837 3.246916282504 86.7463771 3.2536229117505 86.7396694 3.260330619506 86.7329606 3.267039405507 86.7262507 3.27374927508 86.7195398 3.280460213509 86.7128278 3.287172237

    510 86.7061147 3.29388534511 86.6994005 3.300599525512 86.6926852 3.30731479513 86.6859689 3.3140311376514 86.6792514 3.320748567515 86.6725329 3.32746708516 86.6658133 3.334186675517 86.6590926 3.340907355518 86.6523709 3.3476291191519 86.645648 3.354351968

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    520 86.6389241 3.361075902521 86.6321991 3.367800923522 86.625473 3.37452703523 86.6187458 3.381254224524 86.6120175 3.387982505525 86.6052881 3.3947118746526 86.5985577 3.401442333

    527 86.5918261 3.40817388528 86.5850935 3.414906517529 86.5783598 3.421640244530 86.5716249 3.428375062531 86.564889 3.4351109709532 86.558152 3.441847972533 86.5514139 3.448586065534 86.5446747 3.455325251535 86.5379345 3.46206553536 86.5311931 3.468806904537 86.5244506 3.475549371538 86.5177071 3.482292934

    539 86.5109624 3.489037592540 86.5042167 3.495783347541 86.4974698 3.502530198542 86.4907219 3.509278146543 86.4839728 3.516027191544 86.4772227 3.522777335545 86.4704714 3.529528578546 86.4637191 3.536280919547 86.4569656 3.543034361548 86.4502111 3.549788903549 86.4434555 3.556544546550 86.4366987 3.56330129

    551 86.4299409 3.570059136552 86.4231819 3.576818085553 86.4164219 3.583578136554 86.4096607 3.590339291555 86.4028984 3.597101551556 86.3961351 3.603864915557 86.3893706 3.610629384558 86.382605 3.617394959559 86.3758384 3.62416164560 86.3690706 3.630929428561 86.3623017 3.637698323562 86.3555317 3.644468326

    563 86.3487606 3.651239438564 86.3419883 3.6580116588565 86.335215 3.664784989566 86.3284406 3.671559429567 86.321665 3.67833498568 86.3148884 3.6851116424569 86.3081106 3.691889416570 86.3013317 3.698668302571 86.2945517 3.705448301572 86.2877706 3.712229414

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    573 86.2809884 3.7190116397574 86.274205 3.72579498575 86.2674206 3.732579436576 86.260635 3.739365007577 86.2538483 3.746151695578 86.2470605 3.752939499579 86.2402716 3.75972842

    580 86.2334815 3.766518459581 86.2266904 3.773309616582 86.2198981 3.780101892583 86.2131047 3.786895288584 86.2063102 3.793689804585 86.1995146 3.80048544586 86.1927178 3.807282197587 86.1859199 3.814080076588 86.1791209 3.820879077589 86.1723208 3.827679201590 86.1655196 3.834480448591 86.1587172 3.841282819

    592 86.1519137 3.848086314593 86.1451091 3.854890935594 86.1383033 3.861696681595 86.1314964 3.868503553596 86.1246884 3.8753115513597 86.1178793 3.882120677598 86.1110691 3.888930931599 86.1042577 3.895742313600 86.0974452 3.902554824601 86.0906315 3.909368464602 86.0838168 3.916183235603 86.0770009 3.922999136

    604 86.0701838 3.929816168605 86.0633657 3.936634332606 86.0565464 3.943453628607 86.0497259 3.950274057608 86.0429044 3.957095619609 86.0360817 3.963918316610 86.0292579 3.970742147611 86.0224329 3.9775671126612 86.0156068 3.984393214613 86.0087795 3.991220452614 86.0019512 3.998048827615 85.9951217 4.004878339

    616 85.988291 4.011708989617 85.9814592 4.018540778618 85.9746263 4.025373705619 85.9677922 4.032207772620 85.960957 4.03904298621 85.9541207 4.045879328622 85.9472832 4.052716818623 85.9404446 4.059555449624 85.9336048 4.066395223625 85.9267639 4.073236141

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    626 85.9199218 4.080078201627 85.9130786 4.086921406628 85.9062342 4.093765756629 85.8993887 4.1006112515630 85.8925421 4.107457893631 85.8856943 4.1143056803632 85.8788454 4.1211546151

    633 85.8719953 4.128004698634 85.8651441 4.134855928635 85.8582917 4.141708308636 85.8514382 4.148561837637 85.8445835 4.155416516638 85.8377277 4.162272345639 85.8308707 4.169129326640 85.8240125 4.175987458641 85.8171533 4.182846743642 85.8102928 4.189707181643 85.8034312 4.196568772644 85.7965685 4.203431517

    645 85.7897046 4.210295417646 85.7828395 4.217160472647 85.7759733 4.224026682648 85.769106 4.23089405649 85.7622374 4.237762574650 85.7553677 4.244632255651 85.7484969 4.251503095652 85.7416249 4.258375094653 85.7347517 4.265248252654 85.7278774 4.272122569655 85.721002 4.278998048656 85.7141253 4.285874687

    657 85.7072475 4.292752488658 85.7003685 4.299631451659 85.6934884 4.3065115774660 85.6866071 4.313392867661 85.6797247 4.32027532662 85.6728411 4.327158939663 85.6659563 4.334043722664 85.6590703 4.340929671665 85.6521832 4.347816787666 85.6452949 4.354705069667 85.6384055 4.361594519668 85.6315149 4.368485138

    669 85.6246231 4.375376925670 85.6177301 4.382269881671 85.610836 4.389164008672 85.6039407 4.396059305673 85.5970442 4.402955773674 85.5901466 4.409853412675 85.5832478 4.416752225676 85.5763478 4.42365221677 85.5694466 4.430553368678 85.5625443 4.4374557011

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    679 85.5556408 4.444359209680 85.5487361 4.451263891681 85.5418302 4.45816975682 85.5349232 4.465076786683 85.528015 4.471984998684 85.5211056 4.478894388685 85.514195 4.485804957

    686 85.5072833 4.492716704687 85.5003704 4.499629631688 85.4934563 4.506543739689 85.486541 4.513459026690 85.4796245 4.520375496691 85.4727069 4.527293147692 85.465788 4.534211981693 85.458868 4.541131998694 85.4519468 4.548053199695 85.4450244 4.554975584696 85.4381008 4.561899154697 85.4311761 4.56882391

    698 85.4242501 4.575749852699 85.417323 4.582676981700 85.4103947 4.589605298701 85.4034652 4.596534802702 85.3965345 4.603465495703 85.3896026 4.610397378704 85.3826696 4.61733045705 85.3757353 4.624264713706 85.3687998 4.631200166707 85.3618632 4.638136812708 85.3549253 4.64507465709 85.3479863 4.652013681

    710 85.3410461 4.658953905711 85.3341047 4.665895324712 85.3271621 4.672837938713 85.3202183 4.679781747714 85.3132732 4.686726752715 85.306327 4.693672953716 85.2993796 4.700620352717 85.2924311 4.707568949718 85.2854813 4.714518744719 85.2785303 4.721469739720 85.2715781 4.728421933721 85.2646247 4.735375328

    722 85.2576701 4.742329923723 85.2507143 4.749285721724 85.2437573 4.75624272725 85.2367991 4.763200923726 85.2298397 4.770160328727 85.2228791 4.777120938728 85.2159172 4.784082753729 85.2089542 4.791045773730 85.20199 4.79801731 85.1950246 4.804975432

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    732 85.1880579 4.8119420723733 85.1810901 4.81890992734 85.174121 4.825878977735 85.1671508 4.832849242736 85.1601793 4.839820718737 85.1532066 4.846793403738 85.1462327 4.8537673

    739 85.1392576 4.860742408740 85.1322813 4.867718729741 85.1253037 4.874696263742 85.118325 4.88167501743 85.111345 4.888654971744 85.1043639 4.895636148745 85.0973815 4.902618539746 85.0903979 4.909602147747 85.083413 4.916586972748 85.076427 4.923573014749 85.0694397 4.930560273750 85.0624512 4.937548752

    751 85.0554616 4.94453845752 85.0484706 4.951529368753 85.0414785 4.958521506754 85.0344851 4.965514865755 85.0274906 4.972509447756 85.0204947 4.97950525757 85.0134977 4.986502277758 85.0064995 4.993500528759 84.9995 5.000500003760 84.9924993 5.007500703761 84.9854974 5.014502629762 84.9784942 5.021505781

    763 84.9714898 5.02851016764 84.9644842 5.035515767765 84.9574774 5.042522602766 84.9504693 5.049530666767 84.94346 5.05653996768 84.9364495 5.063550483769 84.9294378 5.070562238770 84.9224248 5.077575224771 84.9154106 5.084589442772 84.9083951 5.091604893773 84.9013784 5.098621578774 84.8943605 5.105639496

    775 84.8873414 5.1126586496776 84.880321 5.1196790384777 84.8732993 5.126700663778 84.8662765 5.133723525779 84.8592524 5.140747624780 84.852227 5.147772961781 84.8452005 5.154799536782 84.8381726 5.1618273511783 84.8311436 5.168856406784 84.8241133 5.175886702

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    785 84.8170818 5.182918239786 84.810049 5.189951017787 84.803015 5.196985039788 84.7959797 5.204020304789 84.7889432 5.2110568122790 84.7819054 5.218094565791 84.7748664 5.225133564

    792 84.7678262 5.232173808793 84.7607847 5.239215299794 84.753742 5.246258038795 84.746698 5.253302024796 84.7396527 5.260347259797 84.7326063 5.267393743798 84.7255585 5.274441477799 84.7185095 5.281490461800 84.7114593 5.288540697801 84.7044078 5.295592184802 84.6973551 5.302644924803 84.6903011 5.309698918

    804 84.6832458 5.316754165805 84.6761893 5.323810667806 84.6691316 5.330868424807 84.6620726 5.337927437808 84.6550123 5.344987706809 84.6479508 5.352049233810 84.640888 5.359112018811 84.6338239 5.366176061812 84.6267586 5.373241364813 84.6196921 5.380307926814 84.6126243 5.38737575815 84.6055552 5.394444834

    816 84.5984848 5.401515181817 84.5914132 5.40858679818 84.5843403 5.415659662819 84.5772662 5.422733798820 84.5701908 5.429809199821 84.5631141 5.436885866822 84.5560362 5.443963798823 84.548957 5.451042997824 84.5418765 5.458123464825 84.5347948 5.465205198826 84.5277118 5.472288202827 84.5206275 5.479372475

    828 84.513542 5.486458018829 84.5064552 5.493544831830 84.4993671 5.500632916831 84.4922777 5.507722274832 84.4851871 5.514812904833 84.4780952 5.521904808834 84.471002 5.528997986835 84.4639076 5.536092439836 84.4568118 5.543188167837 84.4497148 5.550285172

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    838 84.4426165 5.557383454839 84.435517 5.564483013840 84.4284161 5.571583851841 84.421314 5.578685968842 84.4142106 5.585789365843 84.407106 5.592894042844 84.4 5.6

    845 84.3928928 5.60710724846 84.3857842 5.614215763847 84.3786744 5.621325568848 84.3715633 5.628436658849 84.364451 5.635549032850 84.3573373 5.642662692851 84.3502224 5.649777637852 84.3431061 5.656893869853 84.3359886 5.6640113891854 84.3288698 5.6711301968855 84.3217497 5.678250293856 84.3146283 5.685371679

    857 84.3075056 5.692494355858 84.3003817 5.699618322859 84.2932564 5.7067435811860 84.2861299 5.713870132861 84.279002 5.720997976862 84.2718729 5.7281271137863 84.2647425 5.735257546864 84.2576107 5.742389273865 84.2504777 5.749522296866 84.2433434 5.756656615867 84.2362078 5.763792232868 84.2290709 5.770929147

    869 84.2219326 5.77806736870 84.2147931 5.785206873871 84.2076523 5.792347686872 84.2005102 5.799489799873 84.1933668 5.806633214874 84.1862221 5.813777932875 84.179076 5.820923952876 84.1719287 5.828071275877 84.1647801 5.835219904878 84.1576302 5.842369837879 84.1504789 5.849521076880 84.1433264 5.856673621

    881 84.1361725 5.863827474882 84.1290174 5.870982634883 84.1218609 5.878139104884 84.1147031 5.885296882885 84.107544 5.892455971886 84.1003836 5.89961637887 84.0932219 5.9067780811888 84.0860589 5.9139411043889 84.0788946 5.9211054404890 84.0717289 5.92827109

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    891 84.0645619 5.935438054892 84.0573937 5.942606334893 84.0502241 5.949775929894 84.0430532 5.956946841895 84.0358809 5.9641190698896 84.0287074 5.971292617897 84.0215325 5.978467483

    898 84.0143563 5.985643668899 84.0071788 5.9928211735900 84 6901 83.9928199 6.007180148902 83.9856384 6.014361619903 83.9784556 6.021544412904 83.9712715 6.02872853905 83.964086 6.035913972906 83.9568993 6.043100739907 83.9497112 6.050288833908 83.9425217 6.057478253909 83.935331 6.064669001

    910 83.9281389 6.071861077911 83.9209455 6.079054482912 83.9137508 6.086249217913 83.9065547 6.093445282914 83.8993573 6.100642679915 83.8921586 6.107841407916 83.8849585 6.1150414685917 83.8777571 6.122242863918 83.8705544 6.129445592919 83.8633503 6.136649655920 83.8561449 6.143855055921 83.8489382 6.151061791

    922 83.8417301 6.158269863923 83.8345207 6.165479274924 83.82731 6.172690024925 83.8200979 6.1799021124926 83.8128845 6.1871155414927 83.8056697 6.1943303112928 83.7984536 6.201546423929 83.7912361 6.208763876930 83.7840173 6.215982673931 83.7767972 6.223202814932 83.7695757 6.230424299933 83.7623529 6.23764713

    934 83.7551287 6.244871307935 83.7479032 6.252096831936 83.7406763 6.259323702937 83.7334481 6.266551922938 83.7262185 6.2737814911939 83.7189876 6.28101241940 83.7117553 6.288244679941 83.7045217 6.2954783942 83.6972867 6.302713273943 83.6900504 6.309949599

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    944 83.6828127 6.317187279945 83.6755737 6.324426313946 83.6683333 6.331666703947 83.6610916 6.338908448948 83.6538485 6.34615155949 83.646604 6.353396009950 83.6393582 6.360641827

    951 83.632111 6.367889004952 83.6248625 6.375137541953 83.6176126 6.382387438954 83.6103613 6.389638696955 83.6031087 6.396891317956 83.5958547 6.4041453957 83.5885994 6.4114006473958 83.5813426 6.418657359959 83.5740846 6.425915435960 83.5668251 6.433174878961 83.5595643 6.440435687962 83.5523021 6.447697864

    963 83.5450386 6.454961409964 83.5377737 6.462226323965 83.5305074 6.469492607966 83.5232397 6.476760261967 83.5159707 6.484029287968 83.5087003 6.491299684969 83.5014285 6.498571455970 83.4941554 6.505844599971 83.4868809 6.5131191183972 83.479605 6.520395012973 83.4723277 6.527672283974 83.4650491 6.534950929

    975 83.457769 6.542230954976 83.4504876 6.549512357977 83.4432049 6.556795139978 83.4359207 6.564079301979 83.4286352 6.571364843980 83.4213482 6.578651768981 83.4140599 6.585940074982 83.4067702 6.593229763983 83.3994792 6.600520837984 83.3921867 6.607813295985 83.3848929 6.615107138986 83.3775976 6.622402368

    987 83.370301 6.629698985988 83.363003 6.636996989989 83.3557036 6.644296382990 83.3484028 6.651597165991 83.3411007 6.658899338992 83.3337971 6.666202901993 83.3264921 6.673507857994 83.3191858 6.680814205995 83.3118781 6.688121946996 83.3045689 6.695431082

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    997 83.2972584 6.702741612998 83.2899465 6.710053539999 83.2826331 6.717366862

    1000 83.2753184 6.7246815821001 83.2680023 6.73199771002 83.2606848 6.7393152181003 83.2533659 6.746634135

    1004 83.2460455 6.7539544531005 83.2387238 6.7612761721006 83.2314007 6.7685992931007 83.2240762 6.7759238181008 83.2167503 6.7832497461009 83.2094229 6.7905770781010 83.2020942 6.7979058171011 83.194764 6.8052359611012 83.1874325 6.8125675121013 83.1800995 6.8199004721014 83.1727652 6.8272348391015 83.1654294 6.834570617

    1016 83.1580922 6.8419078051017 83.1507536 6.8492464031018 83.1434136 6.8565864141019 83.1360722 6.8639278371020 83.1287293 6.8712706741021 83.1213851 6.8786149251022 83.1140394 6.8859605921023 83.1066923 6.8933076741024 83.0993438 6.9006561741025 83.0919939 6.9080060911026 83.0846426 6.9153574261027 83.0772898 6.92271018

    1028 83.0699356 6.9300643551029 83.06258 6.9374199511030 83.055223 6.9447769681031 83.0478646 6.9521354081032 83.0405047 6.9594952711033 83.0331434 6.9668565591034 83.0257807 6.9742192721035 83.0184166 6.981583411036 83.011051 6.9889489751037 83.003684 6.9963159681038 82.9963156 7.0036843891039 82.9889458 7.0110542394

    1040 82.9815745 7.018425521041 82.9742018 7.0257982311042 82.9668276 7.0331723741043 82.9594521 7.0405479491044 82.952075 7.0479249581045 82.9446966 7.0553034011046 82.9373167 7.0626832791047 82.9299354 7.0700645931048 82.9225527 7.0774473431049 82.9151685 7.084831531

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    1050 82.9077828 7.0922171581051 82.9003958 7.0996042241052 82.8930073 7.106992731053 82.8856173 7.11438267631054 82.8782259 7.1217740651055 82.8708331 7.1291668961056 82.8634388 7.1365611704

    1057 82.8560431 7.1439568891058 82.8486459 7.1513540531059 82.8412473 7.1587526631060 82.8338473 7.166152721061 82.8264458 7.1735542251062 82.8190428 7.1809571781063 82.8116384 7.188361581064 82.8042326 7.1957674331065 82.7968253 7.2031747361066 82.7894165 7.2105834921067 82.7820063 7.2179937011068 82.7745946 7.225405363

    1069 82.7671815 7.232818481070 82.7597669 7.2402330521071 82.7523509 7.247649081072 82.7449334 7.2550665651073 82.7375145 7.2624855081074 82.7300941 7.2699059111075 82.7226722 7.2773277721076 82.7152489 7.2847510951077 82.7078241 7.2921758781078 82.7003979 7.2996021241079 82.6929702 7.3070298331080 82.685541 7.314459006

    1081 82.6781104 7.3218896441082 82.6706783 7.3293217481083 82.6632447 7.3367553181084 82.6558096 7.3441903551085 82.6483731 7.3516268611086 82.6409352 7.3590648361087 82.6334957 7.3665042811088 82.6260548 7.3739451981089 82.6186124 7.3813875851090 82.6111686 7.3888314461091 82.6037232 7.396276781092 82.5962764 7.403723589

    1093 82.5888281 7.41117187251094 82.5813784 7.4186216331095 82.5739271 7.426072871096 82.5664744 7.4335255851097 82.5590202 7.4409797781098 82.5515645 7.4484354521099 82.5441074 7.4558926061100 82.5366488 7.4633512421101 82.5291886 7.47081135971102 82.521727 7.478272961

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    1103 82.514264 7.4857360461104 82.5067994 7.4932006161105 82.4993333 7.5006666731106 82.4918658 7.5081342161107 82.4843968 7.5156032461108 82.4769262 7.5230737651109 82.4694542 7.530545774

    1110 82.4619807 7.5380192731111 82.4545057 7.5454942631112 82.4470293 7.5529707451113 82.4395513 7.5604487211114 82.4320718 7.567928191115 82.4245908 7.5754091541116 82.4171084 7.5828916141117 82.4096244 7.590375571118 82.402139 7.5978610241119 82.394652 7.6053479761120 82.3871636 7.6128364271121 82.3796736 7.620326379

    1122 82.3721822 7.6278178321123 82.3646892 7.6353107871124 82.3571948 7.6428052451125 82.3496988 7.6503012061126 82.3422013 7.6577986721127 82.3347024 7.6652976441128 82.3272019 7.6727981231129 82.3196999 7.6803001081130 82.3121964 7.6878036031131 82.3046914 7.6953086061132 82.2971849 7.70281511961133 82.2896769 7.710323144

    1134 82.2821673 7.7178326811135 82.2746563 7.7253437311136 82.2671437 7.7328562941137 82.2596296 7.7403703721138 82.252114 7.7478859661139 82.2445969 7.7554030761140 82.2370783 7.7629217041141 82.2295581 7.7704418511142 82.2220365 7.7779635161143 82.2145133 7.7854867021144 82.2069886 7.79301140911145 82.1994624 7.800537638

    1146 82.1919346 7.808065391147 82.1844053 7.8155946671148 82.1768745 7.8231254681149 82.1693422 7.8306577941150 82.1618084 7.8381916481151 82.154273 7.8457270291152 82.1467361 7.8532639391153 82.1391976 7.8608023781154 82.1316577 7.8683423481155 82.1241162 7.875883849

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    1156 82.1165731 7.8834268821157 82.1090286 7.8909714491158 82.1014825 7.898517551159 82.0939348 7.9060651861160 82.0863856 7.9136143581161 82.0788349 7.92116506681162 82.0712827 7.928717314

    1163 82.0637289 7.93627111164 82.0561736 7.9438264251165 82.0486167 7.9513832921166 82.0410583 7.95894171167 82.0334983 7.9665016511168 82.0259369 7.9740631451169 82.0183738 7.9816261841170 82.0108092 7.9891907681171 82.0032431 7.9967568991172 81.9956754 8.0043245771173 81.9881062 8.01189380351174 81.9805354 8.019464579

    1175 81.9729631 8.0270369051176 81.9653892 8.0346107831177 81.9578138 8.04218621181178 81.9502368 8.0497631941179 81.9426583 8.0573417311180 81.9350782 8.0649218221181 81.9274965 8.072503471182 81.9199133 8.0800866741183 81.9123286 8.0876714361184 81.9047422 8.0952577571185 81.8971544 8.1028456381186 81.8895649 8.1104350798

    1187 81.8819739 8.11802608321188 81.8743814 8.1256186491189 81.8667872 8.1332127791190 81.8591915 8.1408084731191 81.8515943 8.1484057331192 81.8439954 8.156004561193 81.836395 8.1636049541194 81.8287931 8.1712069161195 81.8211896 8.1788104481196 81.8135844 8.1864155511197 81.8059778 8.1940222251198 81.7983695 8.201630471

    1199 81.7907597 8.2092402911200 81.7831483 8.2168516851201 81.7755353 8.2244646541202 81.7679208 8.2320791991203 81.7603047 8.2396953221204 81.752687 8.2473130231205 81.7450677 8.2549323041206 81.7374468 8.2625531641207 81.7298244 8.2701756061208 81.7222004 8.27779963

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    1209 81.7145748 8.2854252371210 81.7069476 8.2930524291211 81.6993188 8.3006812051212 81.6916884 8.30831156791213 81.6840565 8.3159435181214 81.6764229 8.3235770561215 81.6687878 8.331212183

    1216 81.6611511 8.33884891217 81.6535128 8.3464872081218 81.6458729 8.3541271081219 81.6382314 8.3617686021220 81.6305883 8.36941168911221 81.6229436 8.3770563721222 81.6152973 8.384702651223 81.6076495 8.3923505261224 81.6 8.41225 81.5923489 8.4076510731226 81.5846963 8.4153037461227 81.577042 8.42295802

    1228 81.5693861 8.4306138961229 81.5617286 8.4382713761230 81.5540695 8.4459304591231 81.5464089 8.45359114771232 81.5387466 8.4612534421233 81.5310827 8.4689173441234 81.5234171 8.4765828541235 81.51575 8.4842499731236 81.5080813 8.4919187031237 81.500411 8.4995890431238 81.492739 8.5072609961239 81.4850654 8.514934562

    1240 81.4773903 8.5226097421241 81.4697135 8.5302865381242 81.4620351 8.537964951243 81.454355 8.5456449791244 81.4466734 8.5533266261245 81.4389901 8.5610098931246 81.4313052 8.568694781247 81.4236187 8.5763812891248 81.4159306 8.584069421249 81.4082408 8.5917591751250 81.4005494 8.5994505541251 81.3928564 8.607143558

    1252 81.3851618 8.6148381891253 81.3774656 8.6225344481254 81.3697677 8.6302323351255 81.3620681 8.6379318521256 81.354367 8.6456331257 81.3466642 8.6533357791258 81.3389598 8.6610401911259 81.3312538 8.6687462371260 81.3235461 8.6764539181261 81.3158368 8.684163234

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    1262 81.3081258 8.6918741881263 81.3004132 8.6995867791264 81.292699 8.707301011265 81.2849831 8.715016881266 81.2772656 8.7227343921267 81.2695465 8.7304535461268 81.2618257 8.738174343

    1269 81.2541032 8.7458967841270 81.2463791 8.753620871271 81.2386534 8.7613466031272 81.230926 8.7690739841273 81.223197 8.7768030121274 81.2154663 8.7845336911275 81.207734 8.792266021276 81.2 8.81277 81.1922644 8.8077356331278 81.1845271 8.815472921279 81.1767881 8.82321186171280 81.1690475 8.830952459

    1281 81.1613053 8.8386947141282 81.1535614 8.8464386261283 81.1458158 8.8541841981284 81.1380686 8.861931431285 81.1303197 8.8696803221286 81.1225691 8.8774308781287 81.1148169 8.8851830961288 81.107063 8.8929369791289 81.0993075 8.9006925271290 81.0915503 8.9084497421291 81.0837914 8.9162086251292 81.0760308 8.923969176

    1293 81.0682686 8.9317313971294 81.0605047 8.9394952891295 81.0527391 8.9472608531296 81.0449719 8.955028091297 81.037203 8.9627970011298 81.0294324 8.9705675871299 81.0216602 8.9783398491300 81.0138862 8.98611378931301 81.0061106 8.9938894071302 80.9983333 9.0016667051303 80.9905543 9.0094456841304 80.9827737 9.017226344

    1305 80.9749913 9.0250086871306 80.9672073 9.0327927131307 80.9594216 9.0405784251308 80.9516342 9.0483658231309 80.9438451 9.0561549081310 80.9360543 9.0639456811311 80.9282619 9.0717381441312 80.9204677 9.0795322971313 80.9126719 9.0873281421314 80.9048743 9.095125679

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    1315 80.8970751 9.102924911316 80.8892742 9.11072583631317 80.8814715 9.11852845831318 80.8736672 9.1263327771319 80.8658612 9.1341387951320 80.8580535 9.14194651131321 80.8502441 9.149755928

    1322 80.842433 9.1575670471323 80.8346201 9.1653798681324 80.8268056 9.1731943931325 80.8189894 9.1810106231326 80.8111714 9.1888285591327 80.8033518 9.1966482021328 80.7955304 9.2044695531329 80.7877074 9.2122926131330 80.7798826 9.22011738421331 80.7720561 9.2279438671332 80.7642279 9.2357720621333 80.756398 9.2436019711

    1334 80.7485664 9.2514335951335 80.7407331 9.2592669351336 80.732898 9.2671019931337 80.7250612 9.2749387681338 80.7172227 9.2827772641339 80.7093825 9.2906174791340 80.7015406 9.2984594171341 80.6936969 9.3063030771342 80.6858515 9.3141484621343 80.6780044 9.3219955721344 80.6701556 9.3298444071345 80.662305 9.337694971

    1346 80.6544527 9.3455472631347 80.6465987 9.3534012841348 80.638743 9.3612570371349 80.6308855 9.36911452121350 80.6230263 9.3769737391351 80.6151653 9.3848346911352 80.6073026 9.3926973781353 80.5994382 9.4005618021354 80.591572 9.4084279641355 80.5837041 9.4162958651356 80.5758345 9.4241655051357 80.5679631 9.432036887

    1358 80.56009 9.43991001141359 80.5522151 9.4477848791360 80.5443385 9.4556614921361 80.5364602 9.463539851362 80.52858 9.4714199551363 80.5206982 9.4793018091364 80.5128146 9.48718541151365 80.5049292 9.4950707651366 80.4970421 9.502957871367 80.4891533 9.510846727

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    1368 80.4812627 9.5187373391369 80.4733703 9.5266297061370 80.4654762 9.534523831371 80.4575803 9.542419711372 80.4496827 9.550317351373 80.4417833 9.5582167491374 80.4338821 9.5661179095

    1375 80.4259792 9.5740208321376 80.4180745 9.5819255181377 80.410168 9.5898319691378 80.4022598 9.5977401851379 80.3943498 9.6056501681380 80.3864381 9.613561921381 80.3785246 9.6214754411382 80.3706093 9.6293907321383 80.3626922 9.6373077951384 80.3547734 9.6452266311385 80.3468528 9.6531472411386 80.3389304 9.661069626

    1387 80.3310062 9.6689937871388 80.3230803 9.6769197271389 80.3151526 9.6848474451390 80.3072231 9.6927769431391 80.2992918 9.7007082221392 80.2913587 9.7086412841393 80.2834239 9.716576131394 80.2754872 9.724512761395 80.2675488 9.73245117681396 80.2596086 9.7403913811397 80.2516666 9.7483333731398 80.2437228 9.756277155

    1399 80.2357773 9.7642227271400 80.2278299 9.7721700921401 80.2198807 9.78011925061402 80.2119298 9.7880702031403 80.203977 9.7960229521404 80.1960225 9.8039774971405 80.1880662 9.81193384111406 80.180108 9.8198919841407 80.1721481 9.8278519281408 80.1641863 9.8358136741409 80.1562228 9.8437772221410 80.1482574 9.851742575

    1411 80.1402903 9.8597097341412 80.1323213 9.8676786991413 80.1243505 9.8756494721414 80.1163779 9.8836220551415 80.1084036 9.8915964481416 80.1004273 9.8995726521417 80.0924493 9.907550671418 80.0844695 9.9155305011419 80.0764879 9.9235121481420 80.0685044 9.931495612

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    1421 80.0605191 9.9394808941422 80.052532 9.9474679941423 80.0445431 9.9554569161424 80.0365523 9.9634476581425 80.0285598 9.9714402241426 80.0205654 9.9794346131427 80.0125692 9.987430828

    1428 80.0045711 9.995428871429 79.9965713 10.003428741430 79.9885696 10.011430441431 79.980566 10.019433971432 79.9725607 10.027439331433 79.9645535 10.035446521434 79.9565445 10.043455551435 79.9485336 10.051466411436 79.9405209 10.059479111437 79.9325064 10.067493651438 79.92449 10.075510031439 79.9164718 10.08352824

    1440 79.9084517 10.09154831441 79.9004298 10.09957021442 79.8924061 10.107593951443 79.8843805 10.115619541444 79.876353 10.123646981445 79.8683237 10.131676271446 79.8602926 10.13970741447 79.8522596 10.147740391448 79.8442248 10.155775231449 79.8361881 10.163811921450 79.8281495 10.171850471451 79.8201091 10.17989087

    1452 79.8120669 10.187933131453 79.8040228 10.195977241454 79.7959768 10.204023221455 79.7879289 10.212071061456 79.7798792 10.220120761457 79.7718277 10.228172321458 79.7637742 10.236225751459 79.755719 10.244281051460 79.7476618 10.252338211461 79.7396028 10.260397241462 79.7315419 10.268458141463 79.7234791 10.27652091

    1464 79.7154144 10.284585561465 79.7073479 10.292652071466 79.6992795 10.300720471467 79.6912093 10.308790741468 79.6831371 10.316862891469 79.6750631 10.324936911470 79.6669872 10.333012821471 79.6589094 10.341090611472 79.6508297 10.349170281473 79.6427482 10.35725184

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    1474 79.6346647 10.365335281475 79.6265794 10.373420611476 79.6184922 10.381507831477 79.6104031 10.389596941478 79.6023121 10.397687941479 79.5942192 10.405780831480 79.5861244 10.41387561

    1481 79.5780277 10.421972291482 79.5699291 10.430070871483 79.5618287 10.438171341484 79.5537263 10.446273721485 79.545622 10.454377991486 79.5375158 10.462484171487 79.5294078 10.470592241488 79.5212978 10.478702231489 79.5131859 10.4868141141490 79.5050721 10.494927911491 79.4969564 10.503043611492 79.4888388 10.51116123

    1493 79.4807193 10.519280751494 79.4725978 10.527402191495 79.4644745 10.535525541496 79.4563492 10.54365081497 79.448222 10.551777981498 79.4400929 10.559907081499 79.4319619 10.56803811500 79.423829 10.576171041501 79.4156941 10.584305911502 79.4075573 10.592442691503 79.3994186 10.60058141504 79.391278 10.60872204

    1505 79.3831354 10.61686461506 79.3749909 10.625009091507 79.3668445 10.633155511508 79.3586961 10.641303871509 79.3505458 10.649454151510 79.3423936 10.657606371511 79.3342395 10.665760531512 79.3260834 10.673916621513 79.3179253 10.682074651514 79.3097654 10.690234631515 79.3016035 10.698396541516 79.2934396 10.70656039

    1517 79.2852738 10.714726191518 79.2771061 10.722893941519 79.2689364 10.731063631520 79.2607647 10.739235271521 79.2525911 10.747408861522 79.2444156 10.75558441523 79.2362381 10.763761891524 79.2280587 10.771941331525 79.2198773 10.780122741526 79.2116939 10.78830609

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    1527 79.2035086 10.796491411528 79.1953213 10.804678681529 79.1871321 10.812867921530 79.1789409 10.821059121531 79.1707477 10.829252281532 79.1625526 10.83744741533 79.1543555 10.84564449

    1534 79.1461564 10.853843551535 79.1379554 10.862044581536 79.1297524 10.870247581537 79.1215474 10.878452561538 79.1133405 10.88665951539 79.1051316 10.894868421540 79.0969207 10.903079321541 79.0887078 10.911292191542 79.080493 10.919507051543 79.0722761 10.927723881544 79.0640573 10.93594271545 79.0558365 10.9441635

    1546 79.0476137 10.952386281547 79.0393889 10.960611051548 79.0311622 10.968837811549 79.0229334 10.977066561550 79.0147027 10.98529731551 79.00647 10.993530031552 78.9982352 11.001764751553 78.9899985 11.0100014711554 78.9817598 11.018240191555 78.9735191 11.02648091556 78.9652764 11.034723611557 78.9570317 11.04296833

    1558 78.948785 11.051215041559 78.9405362 11.059463761560 78.9322855 11.0677144891561 78.9240328 11.075967221562 78.915778 11.084221961563 78.9075213 11.092478711564 78.8992625 11.100737471565 78.8910018 11.108998241566 78.882739 11.117261031567 78.8744742 11.125525831568 78.8662073 11.1337926541569 78.8579385 11.14206149

    1570 78.8496676 11.150332351571 78.8413948 11.158605231572 78.8331199 11.1668801321573 78.8248429 11.175157061574 78.816564 11.183436011575 78.808283 11.191716991576 78.8 11.21577 78.791715 11.208285041578 78.7834279 11.216572111579 78.7751388 11.22486121

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    1580 78.7668476 11.233152351581 78.7585545 11.241445531582 78.7502593 11.249740741583 78.741962 11.258037991584 78.7336627 11.266337291585 78.7253614 11.274638621586 78.717058 11.282942

    1587 78.7087526 11.291247431588 78.7004451 11.29955491589 78.6921356 11.307864421590 78.683824 11.316175991591 78.6755104 11.324489611592 78.6671947 11.332805281593 78.658877 11.341123011594 78.6505572 11.34944281595 78.6422354 11.357764641596 78.6339115 11.366088541597 78.6255855 11.37441451598 78.6172575 11.38274253

    1599 78.6089274 11.391072611600 78.6005952 11.399404771601 78.592261 11.407738991602 78.5839247 11.4160752741603 78.5755864 11.424413631604 78.5672459 11.432754061605 78.5589034 11.441096561606 78.5505589 11.449441141607 78.5422122 11.457787791608 78.5338635 11.466136521609 78.5255127 11.474487331610 78.5171598 11.48284022

    1611 78.5088048 11.491195191612 78.5004478 11.499552241613 78.4920886 11.507911381614 78.4837274 11.516272611615 78.4753641 11.524635921616 78.4669987 11.533001331617 78.4586312 11.541368831618 78.4502616 11.549738421619 78.4418899 11.55811011620 78.4335161 11.566483881621 78.4251402 11.5748597611622 78.4167623 11.58323774

    1623 78.4083822 11.591617821624 78.4 11.61625 78.3916157 11.608384291626 78.3832293 11.616770681627 78.3748408 11.625159181628 78.3664502 11.633549781629 78.3580575 11.64194251630 78.3496627 11.6503373331631 78.3412657 11.658734281632 78.3328667 11.66713334

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    1633 78.3244655 11.675534511634 78.3160622 11.683937811635 78.3076568 11.692343221636 78.2992492 11.700750761637 78.2908396 11.709160421638 78.2824278 11.71757221639 78.2740139 11.72598612

    1640 78.2655978 11.734402151641 78.2571797 11.7428203241642 78.2487594 11.751240621643 78.2403369 11.759663061644 78.2319124 11.768087631645 78.2234857 11.7765143311646 78.2150568 11.784943171647 78.2066258 11.793374161648 78.1981927 11.801807281649 78.1897575 11.810242541650 78.18132 11.818679951651 78.1728805 11.82711951

    1652 78.1644388 11.835561211653 78.1559949 11.8440050671654 78.1475489 11.8524510711655 78.1391008 11.860899231656 78.1306505 11.869349541657 78.122198 11.877802011658 78.1137434 11.886256631659 78.1052866 11.894713411660 78.0968276 11.903172361661 78.0883665 11.911633461662 78.0799033 11.920096741663 78.0714378 11.92856217

    1664 78.0629702 11.937029781665 78.0545005 11.945499551666 78.0460285 11.953971491667 78.0375544 11.962445611668 78.0290781 11.97092191669 78.0205996 11.979400371670 78.012119 11.987881011671 78.0036362 11.996363841672 77.9951512 12.004848841673 77.986664 12.013336031674 77.9781746 12.02182541675 77.969683 12.03031696

    1676 77.9611893 12.03881071677 77.9526934 12.047306641678 77.9441952 12.055804761679 77.9356949 12.064305081680 77.9271924 12.072807591681 77.9186877 12.08131231682 77.9101808 12.08981921683 77.9016717 12.098328311684 77.8931604 12.106839621685 77.8846469 12.11535313

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    1686 77.8761312 12.123868841687 77.8676132 12.132386761688 77.8590931 12.140906891689 77.8505708 12.149429231690 77.8420462 12.157953781691 77.8335195 12.166480541692 77.8249905 12.17500952

    1693 77.8164593 12.183540721694 77.8079259 12.192074131695 77.7993902 12.200609761696 77.7908524 12.209147621697 77.7823123 12.21768771698 77.77377 12.226231699 77.7652255 12.234774531700 77.7566787 12.243321291701 77.7481297 12.251870281702 77.7395785 12.260421511703 77.731025 12.268974961704 77.7224693 12.27753066

    1705 77.7139114 12.286088591706 77.7053512 12.294648761707 77.6967888 12.303211171708 77.6882242 12.311775821709 77.6796573 12.320342721710 77.6710881 12.328911861711 77.6625167 12.337483261712 77.6539431 12.34605691713 77.6453672 12.354632791714 77.6367891 12.363210941715 77.6282087 12.371791351716 77.619626 12.38037401

    1717 77.6110411 12.388958921718 77.6024539 12.39754611719 77.5938645 12.406135551720 77.5852727 12.414727251721 77.5766788 12.423321231722 77.5680825 12.431917471723 77.559484 12.440515971724 77.5508832 12.449116761725 77.5422802 12.457719811726 77.5336749 12.466325141727 77.5250673 12.474932741728 77.5164574 12.48354263

    1729 77.5078452 12.492154791730 77.4992308 12.500769241731 77.490614 12.509385971732 77.481995 12.518004991733 77.4733737 12.526626291734 77.4647501 12.535249891735 77.4561242 12.543875771736 77.4474961 12.552503951737 77.4388656 12.561134421738 77.4302328 12.56976719

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    1739 77.4215977 12.578402261740 77.4129604 12.587039631741 77.4043207 12.59567931742 77.3956787 12.604321281743 77.3870344 12.612965561744 77.3783879 12.621612151745 77.369739 12.63026105

    1746 77.3610877 12.638912261747 77.3524342 12.647565781748 77.3437784 12.656221621749 77.3351202 12.664879771750 77.3264598 12.673540251751 77.317797 12.682203051752 77.3091318 12.690868161753 77.3004644 12.699535611754 77.2917946 12.708205381755 77.2831225 12.716877471756 77.2744481 12.72555191757 77.2657713 12.73422866

    1758 77.2570922 12.742907761759 77.2484108 12.751589191760 77.239727 12.760272951761 77.2310409 12.768959061762 77.2223525 12.777647511763 77.2136617 12.78633831764 77.2049686 12.795031441765 77.1962731 12.803726921766 77.1875752 12.812424761767 77.1788751 12.8211249421768 77.1701725 12.829827481769 77.1614676 12.83853237

    1770 77.1527604 12.847239621771 77.1440508 12.855949231772 77.1353388 12.86466121773 77.1266245 12.873375531774 77.1179078 12.882092221775 77.1091887 12.8908112841776 77.1004673 12.899532711777 77.0917435 12.908256511778 77.0830173 12.916982691779 77.0742888 12.925711231780 77.0655578 12.934442151781 77.0568245 12.94317545

    1782 77.0480889 12.951911131783 77.0393508 12.96064921784 77.0306104 12.969389641785 77.0218675 12.978132471786 77.0131223 12.986877691787 77.0043747 12.99562531788 76.9956247 13.00437531789 76.9868723 13.013127691790 76.9781175 13.021882481791 76.9693603 13.03063967

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    1792 76.9606007 13.039399251793 76.9518388 13.048161241794 76.9430744 13.056925631795 76.9343076 13.065692431796 76.9255384 13.074461631797 76.9167668 13.083233251798 76.9079927 13.09200727

    1799 76.8992163 13.100783711800 76.8904374 13.109562561801 76.8816562 13.118343831802 76.8728725 13.127127521803 76.8640864 13.135913631804 76.8552978 13.144702171805 76.8465069 13.153493131806 76.8377135 13.162286511807 76.8289177 13.171082331808 76.8201194 13.179880581809 76.8113187 13.188681261810 76.8025156 13.19748438

    1811 76.7937101 13.206289931812 76.7849021 13.215097921813 76.7760916 13.223908361814 76.7672788 13.232721241815 76.7584634 13.241536561816 76.7496457 13.250354331817 76.7408254 13.259174551818 76.7320028 13.267997231819 76.7231776 13.276822351820 76.7143501 13.285649941821 76.70552 13.294479981822 76.6966875 13.30331248

    1823 76.6878526 13.312147441824 76.6790151 13.320984861825 76.6701752 13.329824761826 76.6613329 13.338667121827 76.6524881 13.347511951828 76.6436408 13.356359251829 76.634791 13.365209031830 76.6259387 13.374061281831 76.617084 13.382916011832 76.6082268 13.391773221833 76.5993671 13.400632921834 76.5905049 13.4094951

    1835 76.5816402 13.418359761836 76.5727731 13.427226921837 76.5639034 13.436096571838 76.5550313 13.444968711839 76.5461567 13.453843341840 76.5372795 13.462720471841 76.5283999 13.47160011842 76.5195178 13.480482241843 76.5106331 13.489366871844 76.501746 13.49825402

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    1845 76.4928563 13.507143671846 76.4839642 13.516035831847 76.4750695 13.52493051848 76.4661723 13.533827691849 76.4572726 13.542727391850 76.4483704 13.551629611851 76.4394656 13.56053436

    1852 76.4305584 13.569441621853 76.4216486 13.578351411854 76.4127363 13.587263731855 76.4038214 13.596178581856 76.394904 13.605095951857 76.3859841 13.614015871858 76.3770617 13.622938311859 76.3681367 13.63186331860 76.3592092 13.640790831861 76.3502791 13.649720891862 76.3413465 13.658653511863 76.3324113 13.66758867

    1864 76.3234736 13.676526371865 76.3145334 13.685466631866 76.3055906 13.694409441867 76.2966452 13.703354811868 76.2876973 13.712302741869 76.2787468 13.721253221870 76.2697937 13.730206271871 76.2608381 13.739161881872 76.2518799 13.748120061873 76.2429192 13.75708081874 76.2339559 13.766044121875 76.22499 13.77501001

    1876 76.2160215 13.783978471877 76.2070505 13.792949511878 76.1980769 13.801923141879 76.1891007 13.810899341880 76.1801219 13.819878131881 76.1711405 13.82885951882 76.1621565 13.837843461883 76.15317 13.846830021884 76.1441808 13.855819161885 76.1351891 13.86481091886 76.1261948 13.873805241887 76.1171978 13.88280218

    1888 76.1081983 13.891801721889 76.0991961 13.900803871890 76.0901914 13.909808621891 76.081184 13.918815981892 76.072174 13.927825951893 76.0631615 13.936838541894 76.0541463 13.945853741895 76.0451284 13.954871561896 76.036108 13.9638921897 76.0270849 13.97291506

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    1898 76.0180593 13.981940741899 76.0090309 13.990969061900 76 141901 75.9909664 14.009033571902 75.9819302 14.018069781903 75.9728914 14.027108631904 75.9638499 14.03615011

    1905 75.9548058 14.045194231906 75.945759 14.0542411907 75.9367096 14.063290411908 75.9276575 14.072342471909 75.9186028 14.081397191910 75.9095455 14.090454551911 75.9004854 14.099514571912 75.8914228 14.108577241913 75.8823574 14.1176425771914 75.8732894 14.126710571915 75.8642188 14.135781231916 75.8551454 14.14485456

    1917 75.8460694 14.153930561918 75.8369908 14.163009231919 75.8279094 14.172090571920 75.8188254 14.181174581921 75.8097387 14.190261281922 75.8006493 14.199350661923 75.7915573 14.208442721924 75.7824625 14.217537461925 75.7733651 14.226634891926 75.764265 14.235735021927 75.7551622 14.244837831928 75.7460567 14.25394334

    1929 75.7369484 14.263051551930 75.7278375 14.272162461931 75.7187239 14.281276071932 75.7096076 14.290392381933 75.7004886 14.29951141934 75.6913669 14.308633141935 75.6822424 14.317757581936 75.6731153 14.326884741937 75.6639854 14.336014611938 75.6548528 14.34514721939 75.6457175 14.354282521940 75.6365794 14.36342056

    1941 75.6274387 14.372561321942 75.6182952 14.381704821943 75.609149 14.390851041944 75.6 14.41945 75.5908483 14.40915171946 75.5816939 14.418306131947 75.5725367 14.42746331948 75.5633768 14.436623221949 75.5542141 14.445785891950 75.5450487 14.4549513

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    1951 75.5358805 14.464119471952 75.5267096 14.473290381953 75.5175359 14.482464061954 75.5083595 14.491640491955 75.4991803 14.500819681956 75.4899984 14.510001641957 75.4808136 14.51918636

    1958 75.4716261 14.528373851959 75.4624359 14.537564121960 75.4532428 14.546757151961 75.444047 14.555952961962 75.4348484 14.565151551963 75.4256471 14.574352921964 75.4164429 14.583557081965 75.407236 14.592764021966 75.3980263 14.601973751967 75.3888137 14.611186271968 75.3795984 14.620401581969 75.3703803 14.62961969

    1970 75.3611594 14.63884061971 75.3519357 14.648064311972 75.3427092 14.657290831973 75.3334799 14.666520151974 75.3242477 14.675752281975 75.3150128 14.684987221976 75.305775 14.694224971977 75.2965345 14.703465541978 75.2872911 14.712708941979 75.2780449 14.721955151980 75.2687958 14.731204191981 75.2595439 14.74045605

    1982 75.2502893 14.749710751983 75.2410317 14.758968271984 75.2317714 14.768228631985 75.2225082 14.777491831986 75.2132421 14.786757871987 75.2039732 14.796026751988 75.1947015 14.805298481989 75.1854269 14.814573051990 75.1761495 14.823850481991 75.1668692 14.833130761992 75.1575861 14.842413891993 75.1483001 14.85169988

    1994 75.1390113 14.860988741995 75.1297195 14.870280451996 75.120425 14.879575041997 75.1111275 14.888872491998 75.1018272 14.898172811999 75.092524 14.907476012000 75.0832179 14.916782092001 75.073909 14.926091042002 75.0645971 14.935402882003 75.0552824 14.9447176

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    2004 75.0459648 14.954035212005 75.0366443 14.963355712006 75.0273209 14.972679112007 75.0179946 14.98200542008 75.0086654 14.991334582009 74.9993333 15.000666672010 74.9899983 15.01000167

    2011 74.9806604 15.019339572012 74.9713196 15.028680382013 74.9619759 15.03802412014 74.9526293 15.047370732015 74.9432797 15.056720292016 74.9339272 15.066072762017 74.9245718 15.075428162018 74.9152135 15.084786482019 74.9058523 15.094147732020 74.8964881 15.103511912021 74.887121 15.112879032022 74.8777509 15.12224908

    2023 74.8683779 15.131622072024 74.859002 15.140998012025 74.8496231 15.150376892026 74.8402413 15.159758712027 74.8308565 15.169143492028 74.8214688 15.178531222029 74.8120781 15.187921912030 74.8026844 15.197315562031 74.7932878 15.206712172032 74.7838883 15.216111742033 74.7744857 15.225514282034 74.7650802 15.23491979

    2035 74.7556717 15.244328272036 74.7462603 15.253739732037 74.7368458 15.263154172038 74.7274284 15.272571592039 74.718008 15.281991992040 74.7085846 15.291415382041 74.6991582 15.30084176

    2041.1 74.6982154 15.301784572041.2 74.6972726 15.30272742041.3 74.6963297 15.303670262041.4 74.6953868 15.304613152041.5 74.6944439 15.30555608

    2041.6 74.693501 15.306499032041.61 74.6934067 15.306593322041.62 74.6933124 15.306687622041.63 74.6932181 15.306781922041.64 74.6931238 15.306876222041.65 74.6930295 15.306970512041.66 74.6929352 15.30706481

    2041.661 74.6929258 15.307074242041.662 74.6929163 15.307083672041.663 74.6929069 15.3070931

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    2041.664 74.6928975 15.307102532041.665 74.692888 15.307111962041.666 74.6928786 15.30712139

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    MEDICI ! DE "E# CID$D DE %&!T

    # C$#I'$CI !: %$#I!E$MIE!T : C& "$ CC

    E!TID : $M*#I!E$ DE *$ E: 35.0

    TIEM% (+e,) "el- i/a/ (m +e,) "el- i/a/ ( h) TIEM% (+e,

    2.78 12.59 45.3 4.75 26.5

    2.54 13.78 49.6 4.43 28.42.69 13.01 46.8 4.16 30.32.76 12.68 45.7 4.03 31.33.23 10.84 39.0 4.0 31.52.16 16.20 58.3 4.0 31.52.32 15.09 54.3 3.97 31.73.97 8.82 31.7 3.94 32.02.63 13.31 47.9 3.86 32.62.25 15.56 56.0 3.74 33.72.90 12.07 43.4 3.72 33.93.74 9.36 33.7 3.72 33.92.32 15.09 54.3 3.69 34.12.62 13.36 48.1 3.67 34.32.53 13.83 49.8 3.65 34.52.87 12.20 43.9 3.43 36.72.10 16.67 60.0 3.41 37.02.68 13.06 47.0 3.38 37.32.47 14.17 51.0 3.38 37.32.56 13.67 49.2 3.32 38.02.13 16.43 59.2 3.31 38.12.15 16.28 58.6 3.30 38.21.94 18.04 64.9 3.28 38.41.72 20.35 73.3 3.28 38.41.75 20.00 72.0 3.27 38.52.5 14.00 50.4 3.25 38.82.45 14.29 51.4 3.25 38.83.27 10.70 38.5 3.25 38.82.43 14.40 51.9 3.23 39.04.16 8.41 30.3 3.19 39.52.72 12.87 46.3 3.1 40.62.79 12.54 45.2 3.0 42.02.40 14.58 52.5 2.97 42.42.94 11.90 42.9 2.96 42.62.59 13.51 48.6 2.95 42.72.19 15.98 57.5 2.94 42.92.29 15.28 55.0 2.93 43.02.09 16.75 60.3 2.93 43.02.07 16.91 60.9 2.93 43.02.50 14.00 50.4 2.90 43.43.25 10.77 38.8 2.89 43.6

    2.95 11.86 42.7 2.89 43.64.43 7.90 28.4 2.88 43.8

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    1.94 18.04 64.9 2.87 43.92.81 12.46 44.8 2.87 43.92.51 13.94 50.2 2.82 44.72.16 16.20 58.3 2.81 44.82.07 16.91 60.9 2.81 44.82.03 17.24 62.1 2.79 45.22.12 16.51 59.4 2.79 45.22.96 11.82 42.6 2.78 45.32.61 13.41 48.3 2.78 45.32.16 16.20 58.3 2.77 45.51.63 21.47 77.3 2.76 45.74.0 8.75 31.5 2.75 45.82.53 13.83 49.8 2.75 45.82.27 15.42 55.5 2.75 45.82.57 13.62 49.0 2.75 45.82.11 16.59 59.7 2.72 46.31.97 17.77 64.0 2.72 46.3

    2.78 12.59 45.3 2.72 46.33.38 10.36 37.3 2.72 46.33.72 9.41 33.9 2.72 46.34.03 8.68 31.3 2.72 46.32.56 13.67 49.2 2.69 46.82.12 16.51 59.4 2.69 46.82.16 16.20 58.3 2.68 47.02.65 13.21 47.5 2.68 47.02.07 16.91 60.9 2.66 47.43.65 9.59 34.5 2.65 47.53.72 9.41 33.9 2.63 47.92.75 12.73 45.8 2.63 47.9

    2.38 14.71 52.9 2.62 48.11.97 17.77 64.0 2.62 48.12.62 13.36 48.1 2.62 48.12.62 13.36 48.1 2.62 48.13.43 10.20 36.7 2.61 48.32.72 12.87 46.3 2.59 48.62.09 16.75 60.3 2.57 49.02.53 13.83 49.8 2.57 49.02.22 15.77 56.8 2.56 49.24.75 7.37 26.5 2.56 49.22.46 14.23 51.2 2.56 49.22.09 16.75 60.3 2.55 49.42.26 15.49 55.8 2.54 49.62.04 17.16 61.8 2.53 49.82.05 17.07 61.5 2.53 49.82.15 16.28 58.6 2.53 49.82.82 12.41 44.7 2.53 49.82.16 16.20 58.3 2.51 50.22.40 14.58 52.5 2.50 50.42.07 16.91 60.9 2.5 50.43.25 10.77 38.8 2.49 50.61.81 19.34 69.6 2.47 51.02.00 17.50 63.0 2.47 51.0

    1.97 17.77 64.0 2.46 51.22.43 14.40 51.9 2.46 51.2

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    2.07 16.91 60.9 2.45 51.42.75 12.73 45.8 2.45 51.42.13 16.43 59.2 2.44 51.61.79 19.55 70.4 2.44 51.62.41 14.52 52.3 2.44 51.62.12 16.51 59.4 2.44 51.62.22 15.77 56.8 2.44 51.61.72 20.35 73.3 2.43 51.92.16 16.20 58.3 2.43 51.91.69 20.71 74.6 2.43 51.92.56 13.67 49.2 2.41 52.32.35 14.89 53.6 2.40 52.52.34 14.96 53.8 2.40 52.51.62 21.60 77.8 2.38 52.91.88 18.62 67.0 2.37 53.22.22 15.77 56.8 2.37 53.21.75 20.00 72.0 2.35 53.6

    1.98 17.68 63.6 2.35 53.61.91 18.32 66.0 2.35 53.61.90 18.42 66.3 2.35 53.62.0 17.50 63.0 2.35 53.63.67 9.54 34.3 2.34 53.82.16 16.20 58.3 2.34 53.84.81 7.28 26.2 2.34 53.83.30 10.61 38.2 2.34 53.83.25 10.77 38.8 2.33 54.13.31 10.57 38.1 2.32 54.33.38 10.36 37.3 2.32 54.33.32 10.54 38.0 2.32 54.3

    2.93 11.95 43.0 2.32 54.31.92 18.23 65.6 2.32 54.32.72 12.87 46.3 2.32 54.31.83 19.13 68.9 2.31 54.51.57 22.29 80.3 2.31 54.51.97 17.77 64.0 2.29 55.04.0 8.75 31.5 2.29 55.02.45 14.29 51.4 2.28 55.32.87 12.20 43.9 2.28 55.31.53 22.88 82.4 2.28 55.32.32 15.09 54.3 2.27 55.53.0 11.67 42.0 2.27 55.51.84 19.02 68.5 2.26 55.81.97 17.77 64.0 2.25 56.02.21 15.84 57.0 2.23 56.51.95 17.95 64.6 2.22 56.82.03 17.24 62.1 2.22 56.82.35 14.89 53.6 2.22 56.81.97 17.77 64.0 2.21 57.02.21 15.84 57.0 2.21 57.01.95 17.95 64.6 2.19 57.52.03 17.24 62.1 2.19 57.52.35 14.89 53.6 2.19 57.5

    1.97 17.77 64.0 2.18 57.83.69 9.49 34.1 2.16 58.3

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    3.94 8.88 32.0 2.16 58.31.94 18.04 64.9 2.16 58.31.85 18.92 68.1 2.16 58.33.28 10.67 38.4 2.16 58.32.63 13.31 47.9 2.16 58.32.89 12.11 43.6 2.16 58.32.79 12.54 45.2 2.15 58.62.34 14.96 53.8 2.15 58.61.63 21.47 77.3 2.13 59.21.78 19.66 70.8 2.13 59.22.27 15.42 55.5 2.12 59.42.44 14.34 51.6 2.12 59.43.28 10.67 38.4 2.12 59.41.69 20.71 74.6 2.11 59.72.18 16.06 57.8 2.10 60.02.03 17.24 62.1 2.09 60.32.88 12.15 43.8 2.09 60.3

    2.33 15.02 54.1 2.09 60.31.78 19.66 70.8 2.07 60.92.28 15.35 55.3 2.07 60.92.31 15.15 54.5 2.07 60.92.43 14.40 51.9 2.07 60.91.78 19.66 70.8 2.07 60.92.19 15.98 57.5 2.06 61.22.06 16.99 61.2 2.06 61.22.72 12.87 46.3 2.06 61.22.32 15.09 54.3 2.06 61.22.35 14.89 53.6 2.06 61.22.32 15.09 54.3 2.05 61.5

    2.06 16.99 61.2 2.04 61.82.55 13.73 49.4 2.04 61.82.81 12.46 44.8 2.04 61.82.93 11.95 43.0 2.03 62.12.44 14.34 51.6 2.03 62.12.04 17.16 61.8 2.03 62.13.1 11.29 40.6 2.03 62.11.78 19.66 70.8 2.03 62.11.94 18.04 64.9 2.01 62.72.97 11.78 42.4 2.00 63.02.34 14.96 53.8 2.0 63.02.53 13.83 49.8 2.0 63.02.66 13.16 47.4 2.0 63.02.72 12.87 46.3 1.99 63.32.89 12.11 43.6 1.98 63.62.37 14.77 53.2 1.97 64.02.75 12.73 45.8 1.97 64.02.75 12.73 45.8 1.97 64.01.99 17.59 63.3 1.97 64.01.78 19.66 70.8 1.97 64.01.81 19.34 69.6 1.97 64.01.52 23.03 82.9 1.97 64.02.46 14.23 51.2 1.97 64.0

    2.03 17.24 62.1 1.95 64.61.42 24.65 88.7 1.95 64.6

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    2.72 12.87 46.3 1.94 64.92.06 16.99 61.2 1.94 64.92.0 17.50 63.0 1.94 64.91.91 18.32 66.0 1.94 64.92.57 13.62 49.0 1.94 64.92.37 14.77 53.2 1.92 65.62.01 17.41 62.7 1.91 66.02.06 16.99 61.2 1.91 66.02.28 15.35 55.3 1.90 66.32.04 17.16 61.8 1.90 66.32.31 15.15 54.5 1.90 66.31.43 24.48 88.1 1.88 67.02.34 14.96 53.8 1.88 67.03.86 9.07 32.6 1.85 68.11.88 18.62 67.0 1.84 68.52.32 15.09 54.3 1.84 68.52.47 14.17 51.0 1.83 68.9

    2.23 15.70 56.5 1.81 69.62.28 15.35 55.3 1.81 69.62.77 12.64 45.5 1.79 70.41.94 18.04 64.9 1.78 70.83.41 10.26 37.0 1.78 70.81.90 18.42 66.3 1.78 70.81.84 19.02 68.5 1.78 70.81.90 18.42 66.3 1.78 70.82.44 14.34 51.6 1.75 72.02.62 13.36 48.1 1.75 72.02.06 16.99 61.2 1.72 73.31.97 17.77 64.0 1.72 73.3

    2.68 13.06 47.0 1.69 74.62.0 17.50 63.0 1.69 74.62.19 15.98 57.5 1.63 77.32.44 14.34 51.6 1.63 77.32.29 15.28 55.0 1.62 77.82.93 11.95 43.0 1.59 79.22.35 14.89 53.6 1.57 80.32.69 13.01 46.8 1.53 82.42.49 14.06 50.6 1.52 82.93.19 10.97 39.5 1.43 88.12.44 14.34 51.61.59 22.01 79.2

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    157.17

    E T$DI TIC$

    1 " minima 26.5

    2 " ma ima 88.11 " me/ia 54.1 1 23.1 29.92 D e+tan/ar 2 30.0 36.83 " 85 3 36.9 43.74 an,- /e 61.6 4 43.8 50.65 !-. /e inte 9.0 5 50.7 57.56 Inter al- / 6.8 6 57.6 64.47 ! m Dat-+ 244 7 64.5 71.38 Err-r e+ta 0.7 8 71.4 78.29 9 78.3 85.1

    10 10 85.2 92.011121314 TOTALES

    123456789

    10111213141516171819202122232425

    261

    INTERVALO DECLASE COL 1

    0.

    5.

    10.

    15.

    20.

    25.

    F

    R E C

    . O B S E R V

    . R E L A T I V A ( %

    )

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    23456789

    101112131415161718

    192021222324252627282930

    313233343536373839404142434445464748495051

    12

    34

    1

    1

    2

    2 F R E C

    . O B S E R V

    . R E L A T I V A ( %

    )

    F R E C

    . A C U M

    . R E L A T

    . ( %

    )

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    56789

    101112131415161718192021

    222324252627282930313233

    3435363738394041424344454647484950515253545556

    12

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    3456789

    10111213141516171819

    202122232425262728293031

    3233343536373839404142434445464748495051525354

    12

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    3456789

    10111213141516171819

    2021222324252627

    1234

    5678912341

    1 34.1 26 43 51 46.3 76 49.82 34.3 27 43 52 46.3 77 49.83 34.5 28 43.4 53 46.8 78 50.2

    4 36.7 29 43.6 54 46.8 79 50.45 37 30 43.6 55 47 80 50.4

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    6 37.3 31 43.8 56 47 81 50.67 37.3 32 43.9 57 47.4 82 518 38 33 43.9 58 47.5 83 519 38.1 34 44.7 59 47.9 84 51.2

    10 38.2 35 44.8 60 47.9 85 51.211 38.4 36 44.8 61 48.1 86 51.412 38.4 37 45.2 62 48.1 87 51.413 38.5 38 45.2 63 48.1 88 51.614 38.8 39 45.3 64 48.1 89 51.615 38.8 40 45.3 65 48.3 90 51.616 38.8 41 45.5 66 48.6 91 51.617 39 42 45.7 67 49 92 51.618 39.5 43 45.8 68 49 93 51.919 40.6 44 45.8 69 49.2 94 51.920 42 45 45.8 70 49.2 95 51.921 42.4 46 45.8 71 49.2 96 52.322 42.6 47 46.3 72 49.4 97 52.5

    23 42.7 48 46.3 73 49.6 98 52.524 42.9 49 46.3 74 49.8 99 52.925 43 50 46.3 75 49.8 100 53.2

    Mnim- 34.1M im- 66

    Di ereren i 31.9

    ! 101 32.4 35.9

    $n h- /e i 3.19 2 36.0 39.53 39.6 43.1

    $n h- /e i 3.5 4 43.2 46.75 46.8 50.36 50.4 53.97 54.0 57.58 57.6 61.19 61.2 64.7

    10 64.8 68.3

    TOTALES

    INTERVALO DECLASE COL 1

    8.0;

    10.0;

    12.0;

    14.0;

    16.0;

    18.0;Char

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    1 2 3 40.0;

    2.0;

    4.0;

    .

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    DISTRIBUCION DE FRECUENCIAS DE VELOCIDADES DE PUNTO

    FRECUENCIA OBSERVADARECUENCIA ACU$ULAD

    ABSOLUTA26.5 2 0.8; 2 0.8; 703.65 53.0533.4 14 5.7; 16 6.6; 1117.32 467.9740.3 26 10.7; 42 17.2; 1626.21 1048.4847.2 51 20.9; 93 38.1; 2230.32 2408.5454.1 56 23.0; 149 61.1; 2929.66 3031.0761.0 54 22.1; 203 83.2; 3724.21 3295.4267.9 27 11.1; 230 94.3; 4613.98 1834.0174.8 9 3.7; 239 98.0; 5598.98 673.4481.7 4 1.6; 243 99.6; 6679.19 326.9188.6 1 0.4; 244 100.0; 7854.62 88.63

    244 100; 13227.52

    52.5

    PUNTO$EDIO COL 2

    ( COL2# 2COL 6

    COL3%COL2 COL 7ABSOLUTACOL 3

    RELATIVACOL 4

    RELATIVACOL 5

    1 2 3 4 5 6 7 8 9 10

    0%

    0%

    0%

    0%

    0%

    0%

    HISTOGRAMA DE VELOCIDADES DE PUNTO AVENIDA SANTANDE

    VELOCIDADES ( KM/H )

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    1 2 3 4 5 6 7 8 9

    0.0

    5.0

    0.0

    5.0

    0.0

    5.0

    POLIGONO DE VELOCIDADES DE PUNTO AVENIDA SANTAND

    VELOCIDADES ( KM/H )

    POLIGONO DE VELOCIDADES DE PUNTO AVENIDA S

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    49

    20.0 30.0 40.0 50.0 60.0 70.0 80.0

    26.5 33.4 40.3 47.2 54.1 61.0 67.9 74.8 81.7 88.6

    VELOCIDADES ( K !" #

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    101 53.2 126 55.5 151 59.4 176102 53.6 127 55.8 152 59.4 177103 53.6 128 56 153 59.7 178

    104 53.6 129 56.5 154 60 179105 53.6 130 56.8 155 60.3 180

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    106 53.6 131 56.8 156 60.3 181107 53.8 132 56.8 157 60.3 182108 53.8 133 57 158 60.9 183109 53.8 134 57 159 60.9 184110 53.8 135 57.5 160 60.9 185111 54.1 136 57.5 161 60.9 186112 54.3 137 57.5 162 60.9 187113 54.3 138 57.8 163 61.2 188114 54.3 139 58.3 164 61.2 189115 54.3 140 58.3 165 61.2 190116 54.3 141 58.3 166 61.2 191117 54.3 142 58.3 167 61.2 192118 54.5 143 58.3 168 61.5 193119 54.5 144 58.3 169 61.8 194120 55 145 58.3 170 61.8 195121 55 146 58.6 171 61.8 196122 55.3 147 58.6 172 62.1 197

    123 55.3 148 59.2 173 62.1 198124 55.3 149 59.2 174 62.1 199125 55.5 150 59.4 175 62.1 200

    DISTRIBUCION DE FRECUENCIAS DE VELOCIDADES DE PUNTO

    FRECUENCIA OBSERVADARECUENCIA ACU$ULAD

    ABSOLUTA34.1 3 1.5; 3 1.5; 1162.81 102.3037.7 15 7.5; 18 9.0; 1421.29 565.5041.3 9 4.5; 27 13.5; 1705.69 371.7044.9 25 12.5; 52 26.0; 2016.01 1122.5048.5 26 13.0; 78 39.0; 2352.25 1261.0052.1 32 16.0; 110 55.0; 2714.41 1667.2055.7 27 13.5; 137 68.5; 3102.49 1503.9059