138
x j 0 106.60155 131.810315 -5 -5 0 20 1 106.095773 131.30844 -5.1147555 -5.0367172 -0.3490481 19.9969539 2 105.578759 130.803129 -5.2247059 -5.0687209 -0.6979899 19.9878165 3 105.050999 130.294858 -5.3296298 -5.0958804 -1.0467191 19.9725907 4 104.513007 129.784118 -5.4293225 -5.1180813 -1.3951295 19.951281 5 103.965315 129.27141 -5.5235974 -5.1352259 -1.7431149 19.923894 6 103.408474 128.757244 -5.6122873 -5.1472343 -2.0905693 19.8904379 7 102.843049 128.242136 -5.695245 -5.1540446 -2.4373869 19.850923 8 102.26962 127.72661 -5.7723445 -5.1556134 -2.783462 19.8053614 9 101.688779 127.211189 -5.8434809 -5.1519162 -3.1286893 19.7537668 10 101.101125 126.696402 -5.9085716 -5.1429473 -3.4729636 19.6961551 11 100.507268 126.182775 -5.9675555 -5.1287195 -3.8161799 19.6325437 12 99.9078193 125.670833 -6.0203939 -5.1092644 -4.1582338 19.562952 13 99.3033947 125.161095 -6.0670698 -5.0846316 -4.4990211 19.4874013 14 98.6946106 124.654077 -6.1075873 -5.0548878 -4.8384379 19.4059145 15 98.0820817 124.150285 -6.1419716 -5.0201168 -5.1763809 19.3185165 16 97.4664193 123.650218 -6.1702677 -4.9804184 -5.5127471 19.2252339 17 96.848229 123.154362 -6.1925401 -4.935907 -5.8474341 19.1260951 18 96.2281093 122.663192 -6.2088712 -4.8867114 -6.1803399 19.0211303 19 95.6066495 122.177171 -6.2193607 -4.832973 -6.5113631 18.9103715 20 94.984428 121.696744 -6.2241241 -4.774845 -6.8404029 18.7938524 21 94.3620112 121.222343 -6.2232915 -4.712491 -7.167359 18.6716085 22 93.7399515 120.754381 -6.2170064 -4.6460839 -7.4921319 18.5436771 23 93.1187865 120.293255 -6.2054242 -4.5758046 -7.8146226 18.4100971 24 92.4990377 119.839343 -6.1887109 -4.5018409 -8.1347329 18.2709092 25 91.8812095 119.393003 -6.1670417 -4.4243857 -8.4523652 18.1261557 26 91.2657885 118.954575 -6.1405998 -4.3436366 -8.7674229 17.9758809 27 90.6532424 118.524379 -6.1095746 -4.259794 -9.07981 17.8201305 28 90.0440198 118.102713 -6.0741609 -4.1730606 -9.3894313 17.6589519 29 89.4385498 117.689856 -6.0345574 -4.0836397 -9.6961924 17.4923941 30 88.8372413 117.286068 -5.9909657 -3.9917348 -10 17.3205081 31 88.2404829 116.891586 -5.9435889 -3.897548 -10.300761 17.143346 32 87.6486429 116.506628 -5.8926305 -3.8012799 -10.598385 16.9609619 33 87.0620694 116.131392 -5.838294 -3.7031281 -10.892781 16.7734114 34 86.48109 115.766058 -5.7807812 -3.6032867 -11.183858 16.5807515 35 85.9060124 115.410785 -5.7202918 -3.5019461 -11.471529 16.3830409 36 85.3371243 115.065713 -5.6570228 -3.3992915 -11.755705 16.1803399 37 84.774694 114.730964 -5.5911675 -3.2955034 -12.0363 15.9727102 38 84.2189707 114.406644 -5.5229148 -3.1907564 -12.31323 15.7602151 39 83.6701848 114.092839 -5.4524492 -3.0852193 -12.586408 15.5429192 40 83.1285486 113.789621 -5.37995 -2.9790544 -12.855752 15.3208889 41 82.5942568 113.497044 -5.3055908 -2.8724179 -13.121181 15.0941916 42 82.0674868 113.215148 -5.2295396 -2.765459 -13.382612 14.8628965 43 81.5483999 112.943959 -5.1519582 -2.6583201 -13.639967 14.627074 _2 _3 _4 _3 _4

Excel Ing Vehiculo Final

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ingenieria del vehiculo 2

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Page 1: Excel Ing Vehiculo Final

x j x0 106.60155 131.810315 -5 -5 0 20 20 33.54101971 106.095773 131.30844 -5.11475549 -5.03671725 -0.34904813 19.9969539 20 34.39978562 105.578759 130.803129 -5.22470593 -5.06872087 -0.69798993 19.9878165 20 35.2293323 105.050999 130.294858 -5.3296298 -5.09588037 -1.04671912 19.9725907 20 36.02758054 104.513007 129.784118 -5.42932245 -5.11808126 -1.39512947 19.951281 20 36.79253895 103.965315 129.27141 -5.52359737 -5.13522593 -1.74311485 19.923894 20 37.52231616 103.408474 128.757244 -5.61228726 -5.14723434 -2.09056927 19.8904379 20 38.21513687 102.843049 128.242136 -5.69524503 -5.15404462 -2.43738687 19.850923 20 38.86935448 102.26962 127.72661 -5.77234449 -5.15561344 -2.78346202 19.8053614 20 39.4834649 101.688779 127.211189 -5.84348095 -5.15191623 -3.1286893 19.7537668 20 40.056112610 101.101125 126.696402 -5.90857157 -5.14294725 -3.47296355 19.6961551 20 40.586109111 100.507268 126.182775 -5.96755551 -5.12871951 -3.81617991 19.6325437 20 41.072431712 99.9078193 125.670833 -6.02039394 -5.10926445 -4.15823382 19.562952 20 41.514234413 99.3033947 125.161095 -6.06706978 -5.08463156 -4.49902109 19.4874013 20 41.910850714 98.6946106 124.654077 -6.10758729 -5.05488779 -4.83843791 19.4059145 20 42.26179715 98.0820817 124.150285 -6.14197156 -5.02011685 -5.1763809 19.3185165 20 42.566772516 97.4664193 123.650218 -6.17026772 -4.98041839 -5.51274712 19.2252339 20 42.825658417 96.848229 123.154362 -6.1925401 -4.93590704 -5.84743409 19.1260951 20 43.038515518 96.2281093 122.663192 -6.20887123 -4.88671142 -6.18033989 19.0211303 20 43.205579219 95.6066495 122.177171 -6.21936072 -4.83297301 -6.51136309 18.9103715 20 43.327254120 94.984428 121.696744 -6.22412409 -4.77484497 -6.84040287 18.7938524 20 43.404106421 94.3620112 121.222343 -6.22329149 -4.71249096 -7.16735899 18.6716085 20 43.436855822 93.7399515 120.754381 -6.21700638 -4.64608389 -7.49213187 18.5436771 20 43.426365623 93.1187865 120.293255 -6.20542419 -4.57580465 -7.81462257 18.4100971 20 43.373632724 92.4990377 119.839343 -6.1887109 -4.50184087 -8.13473286 18.2709092 20 43.279776125 91.8812095 119.393003 -6.16704175 -4.42438571 -8.45236523 18.1261557 20 43.146025526 91.2657885 118.954575 -6.14059978 -4.34363659 -8.76742294 17.9758809 20 42.973709327 90.6532424 118.524379 -6.10957456 -4.25979404 -9.07980999 17.8201305 20 42.764242428 90.0440198 118.102713 -6.07416087 -4.17306062 -9.38943126 17.6589519 20 42.519113529 89.4385498 117.689856 -6.03455743 -4.08363975 -9.6961924 17.4923941 20 42.239873930 88.8372413 117.286068 -5.99096572 -3.99173479 -10 17.3205081 20 41.928124631 88.2404829 116.891586 -5.94358886 -3.89754805 -10.3007615 17.143346 20 41.585505432 87.6486429 116.506628 -5.89263053 -3.80127992 -10.5983853 16.9609619 20 41.213683433 87.0620694 116.131392 -5.83829399 -3.70312807 -10.8927807 16.7734114 20 40.814342834 86.48109 115.766058 -5.78078117 -3.60328674 -11.1838581 16.5807515 20 40.389174435 85.9060124 115.410785 -5.72029183 -3.50194606 -11.4715287 16.3830409 20 39.939866836 85.3371243 115.065713 -5.65702284 -3.39929152 -11.755705 16.1803399 20 39.468097337 84.774694 114.730964 -5.59116747 -3.2955034 -12.0363005 15.9727102 20 38.975524638 84.2189707 114.406644 -5.5229148 -3.1907564 -12.3132295 15.7602151 20 38.463781239 83.6701848 114.092839 -5.45244922 -3.08521926 -12.5864078 15.5429192 20 37.934466940 83.1285486 113.789621 -5.37995 -2.97905445 -12.8557522 15.3208889 20 37.389143741 82.5942568 113.497044 -5.30559084 -2.87241791 -13.1211806 15.0941916 20 36.829330442 82.0674868 113.215148 -5.22953964 -2.76545896 -13.3826121 14.8628965 20 36.256498643 81.5483999 112.943959 -5.15195821 -2.65832007 -13.6399672 14.627074 20 35.6720689

𝜃_2 𝜃_3 𝜃_4 𝜔_3 𝜔_4 𝑉_𝐴

Page 2: Excel Ing Vehiculo Final

44 81.037141 112.683486 -5.07300206 -2.55113685 -13.8931674 14.386796 20 35.077408645 80.5338403 112.433728 -4.99282032 -2.44403799 -14.1421356 14.1421356 20 34.473828546 80.038613 112.194671 -4.91155559 -2.33714531 -14.386796 13.8931674 20 33.862581947 79.5515607 111.966289 -4.82934392 -2.23057374 -14.627074 13.6399672 20 33.244863248 79.0727715 111.748542 -4.74631482 -2.12443147 -14.8628965 13.3826121 20 32.62180749 78.6023209 111.541385 -4.66259125 -2.01882002 -15.0941916 13.1211806 20 31.994487950 78.1402725 111.344757 -4.57828972 -1.91383437 -15.3208889 12.8557522 20 31.363920651 77.6866786 111.158594 -4.49352036 -1.80956314 -15.5429192 12.5864078 20 30.731060552 77.2415806 110.982818 -4.40838706 -1.70608876 -15.7602151 12.3132295 20 30.096804253 76.80501 110.817347 -4.32298757 -1.60348761 -15.9727102 12.0363005 20 29.461990654 76.3769889 110.662089 -4.23741366 -1.50183031 -16.1803399 11.755705 20 28.827402255 75.9575302 110.516947 -4.15175132 -1.40118185 -16.3830409 11.4715287 20 28.193766756 75.5466389 110.381817 -4.06608092 -1.30160183 -16.5807515 11.1838581 20 27.561758357 75.1443118 110.25659 -3.98047738 -1.20314472 -16.7734114 10.8927807 20 26.931999858 74.7505388 110.141149 -3.89501043 -1.10586003 -16.9609619 10.5983853 20 26.305064259 74.365303 110.035377 -3.80974472 -1.00979257 -17.143346 10.3007615 20 25.681476860 73.9885812 109.939149 -3.72474011 -0.91498267 -17.3205081 10 20 25.061717261 73.6203444 109.852337 -3.64005184 -0.82146641 -17.4923941 9.6961924 20 24.446221162 73.2605586 109.774811 -3.55573074 -0.72927581 -17.6589519 9.38943126 20 23.83538363 72.9091845 109.706437 -3.47182345 -0.63843911 -17.8201305 9.07980999 20 23.229557464 72.5661787 109.647078 -3.3883726 -0.54898093 -17.9758809 8.76742294 20 22.629061765 72.2314934 109.596594 -3.30541705 -0.46092249 -18.1261557 8.45236523 20 22.034177766 71.9050776 109.554846 -3.22299206 -0.37428184 -18.2709092 8.13473286 20 21.445153767 71.5868763 109.52169 -3.14112949 -0.28907403 -18.4100971 7.81462257 20 20.862206768 71.2768319 109.496983 -3.05985799 -0.20531129 -18.5436771 7.49213187 20 20.285524169 70.9748841 109.480579 -2.97920319 -0.12300327 -18.6716085 7.16735899 20 19.715265670 70.68097 109.472333 -2.89918787 -0.04215713 -18.7938524 6.84040287 20 19.15156571 70.3950246 109.472099 -2.81983215 0.03722222 -18.9103715 6.51136309 20 18.594532272 70.116981 109.479729 -2.74115363 0.11513198 -19.0211303 6.18033989 20 18.044254473 69.8467708 109.495076 -2.66316754 0.19157133 -19.1260951 5.84743409 20 17.500797974 69.584324 109.517994 -2.58588694 0.26654126 -19.2252339 5.51274712 20 16.964209975 69.3295695 109.548336 -2.50932283 0.34004442 -19.3185165 5.1763809 20 16.434519676 69.0824352 109.585954 -2.4334843 0.41208502 -19.4059145 4.83843791 20 15.911739877 68.8428482 109.630704 -2.35837864 0.48266869 -19.4874013 4.49902109 20 15.39586878 68.6107349 109.68244 -2.28401152 0.55180235 -19.562952 4.15823382 20 14.886888279 68.3860211 109.741016 -2.21038705 0.61949413 -19.6325437 3.81617991 20 14.384771280 68.1686326 109.806291 -2.13750792 0.68575321 -19.6961551 3.47296355 20 13.889476581 67.9584947 109.87812 -2.06537554 0.7505898 -19.7537668 3.1286893 20 13.400953182 67.7555326 109.956362 -1.99399007 0.81401496 -19.8053614 2.78346202 20 12.919140383 67.5596718 110.040876 -1.92335058 0.87604059 -19.850923 2.43738687 20 12.443968884 67.3708377 110.131524 -1.85345513 0.9366793 -19.8904379 2.09056927 20 11.975361785 67.188956 110.228166 -1.78430082 0.99594435 -19.923894 1.74311485 20 11.513235186 67.0139529 110.330667 -1.71588391 1.05384957 -19.951281 1.39512947 20 11.057498887 66.8457548 110.438891 -1.64819989 1.11040932 -19.9725907 1.04671912 20 10.608057588 66.6842887 110.552705 -1.58124352 1.16563838 -19.9878165 0.69798993 20 10.1648108

Page 3: Excel Ing Vehiculo Final

89 66.5294821 110.671975 -1.51500895 1.21955194 -19.9969539 0.34904813 20 9.7276542190 66.3812631 110.796572 -1.44948974 1.27216553 -20 1.22465E-15 20 9.2964797591 66.2395605 110.926365 -1.38467894 1.32349495 -19.9969539 -0.34904813 20 8.8711762992 66.1043039 111.061228 -1.32056913 1.37355626 -19.9878165 -0.69798993 20 8.4516301893 65.9754236 111.201035 -1.2571525 1.42236571 -19.9725907 -1.04671912 20 8.0377256494 65.8528506 111.34566 -1.19442086 1.46993971 -19.951281 -1.39512947 20 7.6293452295 65.7365168 111.494982 -1.13236571 1.51629479 -19.923894 -1.74311485 20 7.2263701896 65.6263552 111.648879 -1.07097829 1.56144758 -19.8904379 -2.09056927 20 6.8286808397 65.5222992 111.807232 -1.01024959 1.60541475 -19.850923 -2.43738687 20 6.4361568898 65.4242836 111.969923 -0.95017042 1.64821302 -19.8053614 -2.78346202 20 6.0486777399 65.3322438 112.136836 -0.89073141 1.68985911 -19.7537668 -3.1286893 20 5.66612276100 65.2461163 112.307857 -0.83192308 1.73036973 -19.6961551 -3.47296355 20 5.28837159101 65.1658385 112.482873 -0.77373582 1.76976152 -19.6325437 -3.81617991 20 4.91530427102 65.0913488 112.661773 -0.71615997 1.8080511 -19.562952 -4.15823382 20 4.54680156103 65.0225864 112.844447 -0.65918581 1.84525499 -19.4874013 -4.49902109 20 4.18274506104 64.9594919 113.030788 -0.6028036 1.88138962 -19.4059145 -4.83843791 20 3.82301743105 64.9020063 113.22069 -0.54700358 1.91647133 -19.3185165 -5.1763809 20 3.46750251106 64.8500721 113.414048 -0.49177602 1.95051631 -19.2252339 -5.51274712 20 3.11608549107 64.8036324 113.610759 -0.43711123 1.98354064 -19.1260951 -5.84743409 20 2.76865304108 64.7626314 113.810722 -0.38299954 2.01556026 -19.0211303 -6.18033989 20 2.42509343109 64.7270143 114.013838 -0.32943139 2.04659096 -18.9103715 -6.51136309 20 2.08529659110 64.6967273 114.220008 -0.27639725 2.07664835 -18.7938524 -6.84040287 20 1.74915429111 64.6717174 114.429136 -0.22388773 2.1057479 -18.6716085 -7.16735899 20 1.41656012112 64.6519326 114.641126 -0.1718935 2.1339049 -18.5436771 -7.49213187 20 1.08740964113 64.6373218 114.855886 -0.1204054 2.16113446 -18.4100971 -7.81462257 20 0.76160044114 64.6278349 115.073323 -0.06941434 2.18745151 -18.2709092 -8.13473286 20 0.43903214115 64.6234227 115.293346 -0.01891139 2.21287081 -18.1261557 -8.45236523 20 0.11960651116 64.6240367 115.515868 0.03111222 2.23740691 -17.9758809 -8.76742294 20 -0.19677253117 64.6296294 115.740799 0.08066514 2.26107418 -17.8201305 -9.07980999 20 -0.51019885118 64.6401543 115.968054 0.12975585 2.28388681 -17.6589519 -9.38943126 20 -0.82076411119 64.6555655 116.197548 0.17839267 2.30585877 -17.4923941 -9.6961924 20 -1.12855767120 64.675818 116.429198 0.22658374 2.32700387 -17.3205081 -10 20 -1.43366666121 64.7008676 116.662922 0.27433706 2.3473357 -17.143346 -10.3007615 20 -1.73617586122 64.7306711 116.898639 0.32166041 2.36686767 -16.9609619 -10.5983853 20 -2.03616776123 64.7651856 117.136269 0.36856142 2.38561299 -16.7734114 -10.8927807 20 -2.33372253124 64.8043695 117.375735 0.41504753 2.40358469 -16.5807515 -11.1838581 20 -2.62891798125 64.8481816 117.616961 0.46112599 2.42079558 -16.3830409 -11.4715287 20 -2.92182961126 64.8965814 117.85987 0.50680386 2.4372583 -16.1803399 -11.755705 20 -3.21253057127 64.9495292 118.104388 0.55208802 2.45298532 -15.9727102 -12.0363005 20 -3.50109164128 65.0069861 118.350443 0.59698514 2.46798887 -15.7602151 -12.3132295 20 -3.7875813129 65.0689135 118.597962 0.64150172 2.48228105 -15.5429192 -12.5864078 20 -4.07206567130 65.1352739 118.846875 0.68564405 2.49587374 -15.3208889 -12.8557522 20 -4.35460854131 65.2060301 119.097114 0.72941822 2.50877864 -15.0941916 -13.1211806 20 -4.63527137132 65.2811455 119.348609 0.77283013 2.5210073 -14.8628965 -13.3826121 20 -4.91411332133 65.3605842 119.601293 0.81588551 2.53257107 -14.627074 -13.6399672 20 -5.1911912

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134 65.4443109 119.855101 0.85858986 2.54348111 -14.386796 -13.8931674 20 -5.46655957135 65.5322907 120.109968 0.90094849 2.55374845 -14.1421356 -14.1421356 20 -5.74027067136 65.6244892 120.36583 0.94296654 2.56338391 -13.8931674 -14.386796 20 -6.01237446137 65.7208728 120.622624 0.98464892 2.57239816 -13.6399672 -14.627074 20 -6.28291865138 65.821408 120.880289 1.02600038 2.58080172 -13.3826121 -14.8628965 20 -6.55194867139 65.926062 121.138764 1.06702546 2.58860491 -13.1211806 -15.0941916 20 -6.81950775140 66.0348024 121.39799 1.10772851 2.59581792 -12.8557522 -15.3208889 20 -7.08563686141 66.1475971 121.657908 1.1481137 2.60245078 -12.5864078 -15.5429192 20 -7.35037476142 66.2644146 121.918461 1.18818499 2.60851336 -12.3132295 -15.7602151 20 -7.61375802143 66.3852238 122.179592 1.22794618 2.61401537 -12.0363005 -15.9727102 20 -7.87582103144 66.5099936 122.441246 1.26740086 2.61896639 -11.755705 -16.1803399 20 -8.13659599145 66.6386938 122.703368 1.30655245 2.62337583 -11.4715287 -16.3830409 20 -8.39611297146 66.7712941 122.965904 1.34540419 2.62725298 -11.1838581 -16.5807515 20 -8.65439988147 66.9077648 123.228801 1.38395913 2.63060696 -10.8927807 -16.7734114 20 -8.91148253148 67.0480762 123.492008 1.42222014 2.63344677 -10.5983853 -16.9609619 20 -9.16738459149 67.1921991 123.755473 1.46018993 2.63578126 -10.3007615 -17.143346 20 -9.42212766150 67.3401045 124.019147 1.49787101 2.63761916 -10 -17.3205081 20 -9.67573126151 67.4917638 124.282981 1.53526574 2.63896905 -9.6961924 -17.4923941 20 -9.92821284152 67.6471482 124.546925 1.57237629 2.63983938 -9.38943126 -17.6589519 20 -10.1795878153 67.8062296 124.810933 1.60920467 2.64023848 -9.07980999 -17.8201305 20 -10.4298696154 67.9689798 125.074958 1.64575273 2.64017455 -8.76742294 -17.9758809 20 -10.6790695155 68.1353709 125.338953 1.68202214 2.63965564 -8.45236523 -18.1261557 20 -10.9271969156 68.305375 125.602874 1.71801443 2.63868972 -8.13473286 -18.2709092 20 -11.1742593157 68.4789646 125.866676 1.75373095 2.63728459 -7.81462257 -18.4100971 20 -11.420262158 68.656112 126.130316 1.78917289 2.63544796 -7.49213187 -18.5436771 20 -11.6652086159 68.83679 126.393752 1.8243413 2.63318742 -7.16735899 -18.6716085 20 -11.9091006160 69.0209712 126.65694 1.85923707 2.63051042 -6.84040287 -18.7938524 20 -12.1519377161 69.2086284 126.91984 1.89386093 2.62742431 -6.51136309 -18.9103715 20 -12.3937176162 69.3997343 127.182411 1.92821347 2.62393632 -6.18033989 -19.0211303 20 -12.6344362163 69.594262 127.444614 1.96229514 2.62005355 -5.84743409 -19.1260951 20 -12.8740877164 69.7921844 127.706409 1.99610623 2.61578302 -5.51274712 -19.2252339 20 -13.1126641165 69.9934743 127.967758 2.02964689 2.61113161 -5.1763809 -19.3185165 20 -13.3501559166 70.1981047 128.228623 2.06291714 2.60610609 -4.83843791 -19.4059145 20 -13.5865516167 70.4060487 128.488967 2.09591685 2.60071313 -4.49902109 -19.4874013 20 -13.8218381168 70.6172791 128.748754 2.12864577 2.59495927 -4.15823382 -19.562952 20 -14.0560004169 70.8317688 129.007947 2.1611035 2.58885097 -3.81617991 -19.6325437 20 -14.2890218170 71.0494907 129.266512 2.19328951 2.58239456 -3.47296355 -19.6961551 20 -14.5208839171 71.2704176 129.524415 2.22520316 2.57559625 -3.1286893 -19.7537668 20 -14.7515667172 71.4945222 129.78162 2.25684365 2.56846217 -2.78346202 -19.8053614 20 -14.9810482173 71.7217772 130.038096 2.28821009 2.56099833 -2.43738687 -19.850923 20 -15.2093052174 71.9521551 130.293809 2.31930144 2.55321062 -2.09056927 -19.8904379 20 -15.4363125175 72.1856283 130.548728 2.35011656 2.54510484 -1.74311485 -19.923894 20 -15.6620434176 72.4221691 130.80282 2.38065416 2.53668667 -1.39512947 -19.951281 20 -15.8864698177 72.6617498 131.056055 2.41091287 2.52796169 -1.04671912 -19.9725907 20 -16.1095617178 72.9043424 131.308402 2.44089117 2.51893536 -0.69798993 -19.9878165 20 -16.3312878

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179 73.1499187 131.559832 2.47058746 2.50961304 -0.34904813 -19.9969539 20 -16.5516153180 73.3984504 131.810315 2.5 2.5 -2.4493E-15 -20 20 -16.7705098181 73.6499091 132.059822 2.52912695 2.49010137 0.34904813 -19.9969539 20 -16.9879355182 73.9042662 132.308326 2.55796637 2.47992218 0.69798993 -19.9878165 20 -17.203855183 74.1614928 132.555798 2.58651619 2.46946737 1.04671912 -19.9725907 20 -17.4182298184 74.4215597 132.80221 2.61477426 2.45874175 1.39512947 -19.951281 20 -17.6310197185 74.6844378 133.047537 2.64273831 2.44775002 1.74311485 -19.923894 20 -17.8421834186 74.9500975 133.291752 2.67040597 2.43649679 2.09056927 -19.8904379 20 -18.051678187 75.218509 133.534828 2.69777477 2.42498653 2.43738687 -19.850923 20 -18.2594596188 75.4896424 133.77674 2.72484214 2.41322362 2.78346202 -19.8053614 20 -18.4654828189 75.7634673 134.017464 2.75160541 2.40121232 3.1286893 -19.7537668 20 -18.669701190 76.0399533 134.256975 2.77806181 2.38895677 3.47296355 -19.6961551 20 -18.8720665191 76.3190694 134.495248 2.80420848 2.376461 3.81617991 -19.6325437 20 -19.0725302192 76.6007845 134.732259 2.83004245 2.36372894 4.15823382 -19.562952 20 -19.2710421193 76.8850673 134.967986 2.85556066 2.35076439 4.49902109 -19.4874013 20 -19.4675508194 77.171886 135.202404 2.88075996 2.33757101 4.83843791 -19.4059145 20 -19.662004195 77.4612086 135.435492 2.90563711 2.32415239 5.1763809 -19.3185165 20 -19.8543483196 77.7530026 135.667227 2.93018875 2.31051195 5.51274712 -19.2252339 20 -20.0445292197 78.0472354 135.897587 2.95441145 2.29665304 5.84743409 -19.1260951 20 -20.2324913198 78.3438738 136.126551 2.97830169 2.28257885 6.18033989 -19.0211303 20 -20.418178199 78.6428845 136.354096 3.00185584 2.26829246 6.51136309 -18.9103715 20 -20.6015322200 78.9442337 136.580202 3.02507017 2.25379682 6.84040287 -18.7938524 20 -20.7824953201 79.2478871 136.804849 3.04794089 2.23909477 7.16735899 -18.6716085 20 -20.9610084202 79.5538102 137.028015 3.07046407 2.224189 7.49213187 -18.5436771 20 -21.1370113203 79.8619682 137.24968 3.09263574 2.2090821 7.81462257 -18.4100971 20 -21.3104433204 80.1723255 137.469824 3.11445178 2.1937765 8.13473286 -18.2709092 20 -21.4812428205 80.4848465 137.688429 3.13590801 2.17827451 8.45236523 -18.1261557 20 -21.6493474206 80.799495 137.905473 3.15700014 2.16257832 8.76742294 -17.9758809 20 -21.8146941207 81.1162343 138.120938 3.17772379 2.14668997 9.07980999 -17.8201305 20 -21.9772192208 81.4350273 138.334804 3.19807447 2.13061137 9.38943126 -17.6589519 20 -22.1368581209 81.7558366 138.547054 3.2180476 2.11434428 9.6961924 -17.4923941 20 -22.293546210 82.0786241 138.757667 3.23763849 2.09789034 10 -17.3205081 20 -22.4472173211 82.4033514 138.966626 3.25684237 2.08125103 10.3007615 -17.143346 20 -22.5978057212 82.7299795 139.173911 3.27565433 2.0644277 10.5983853 -16.9609619 20 -22.7452447213 83.058469 139.379505 3.29406938 2.04742155 10.8927807 -16.7734114 20 -22.889467214 83.38878 139.583389 3.31208241 2.03023362 11.1838581 -16.5807515 20 -23.030405215 83.7208719 139.785546 3.32968821 2.01286482 11.4715287 -16.3830409 20 -23.1679907216 84.0547039 139.985956 3.34688143 1.9953159 11.755705 -16.1803399 20 -23.3021556217 84.3902343 140.184603 3.36365665 1.97758745 12.0363005 -15.9727102 20 -23.4328309218 84.7274211 140.381468 3.38000828 1.95967991 12.3132295 -15.7602151 20 -23.5599473219 85.0662216 140.576533 3.39593065 1.94159356 12.5864078 -15.5429192 20 -23.6834355220 85.4065927 140.769781 3.41141793 1.92332852 12.8557522 -15.3208889 20 -23.8032256221 85.7484905 140.961193 3.4264642 1.90488476 13.1211806 -15.0941916 20 -23.9192476222 86.0918707 141.150752 3.44106338 1.88626205 13.3826121 -14.8628965 20 -24.0314312223 86.4366881 141.338439 3.45520926 1.86746002 13.6399672 -14.627074 20 -24.1397059

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224 86.7828972 141.524238 3.46889549 1.84847812 13.8931674 -14.386796 20 -24.244001225 87.1304517 141.708129 3.48211559 1.82931564 14.1421356 -14.1421356 20 -24.3442457226 87.4793046 141.890095 3.49486292 1.80997166 14.386796 -13.8931674 20 -24.440369227 87.8294083 142.070117 3.50713068 1.79044512 14.627074 -13.6399672 20 -24.5322999228 88.1807145 142.248178 3.51891192 1.77073476 14.8628965 -13.3826121 20 -24.619967229 88.5331742 142.424258 3.53019954 1.75083912 15.0941916 -13.1211806 20 -24.7032992230 88.8867377 142.598339 3.54098626 1.73075657 15.3208889 -12.8557522 20 -24.7822251231 89.2413545 142.770403 3.55126462 1.71048529 15.5429192 -12.5864078 20 -24.8566732232 89.5969734 142.94043 3.56102698 1.69002325 15.7602151 -12.3132295 20 -24.9265722233 89.9535424 143.108401 3.57026554 1.66936824 15.9727102 -12.0363005 20 -24.9918505234 90.3110088 143.274297 3.57897227 1.64851783 16.1803399 -11.755705 20 -25.0524368235 90.6693189 143.438098 3.58713899 1.6274694 16.3830409 -11.4715287 20 -25.1082596236 91.0284183 143.599784 3.59475726 1.60622011 16.5807515 -11.1838581 20 -25.1592474237 91.3882518 143.759335 3.60181846 1.58476689 16.7734114 -10.8927807 20 -25.2053288238 91.7487631 143.916731 3.60831376 1.5631065 16.9609619 -10.5983853 20 -25.2464323239 92.1098954 144.07195 3.61423408 1.54123543 17.143346 -10.3007615 20 -25.2824867240 92.4715905 144.224971 3.6195701 1.51914998 17.3205081 -10 20 -25.3134204241 92.8337896 144.375772 3.62431229 1.49684618 17.4923941 -9.6961924 20 -25.3391622242 93.1964328 144.524332 3.62845083 1.47431987 17.6589519 -9.38943126 20 -25.3596408243 93.5594593 144.670629 3.63197567 1.45156662 17.8201305 -9.07980999 20 -25.3747847244 93.9228071 144.814638 3.63487646 1.42858177 17.9758809 -8.76742294 20 -25.3845228245 94.2864134 144.956337 3.63714261 1.40536041 18.1261557 -8.45236523 20 -25.3887837246 94.6502141 145.095702 3.63876321 1.38189736 18.2709092 -8.13473286 20 -25.3874961247 95.0141442 145.232708 3.63972705 1.3581872 18.4100971 -7.81462257 20 -25.3805886248 95.3781373 145.367331 3.64002264 1.33422424 18.5436771 -7.49213187 20 -25.3679898249 95.742126 145.499545 3.63963814 1.31000251 18.6716085 -7.16735899 20 -25.3496281250 96.1060418 145.629323 3.63856139 1.28551579 18.7938524 -6.84040287 20 -25.325432251 96.4698148 145.756639 3.6367799 1.26075756 18.9103715 -6.51136309 20 -25.2953298252 96.8333739 145.881465 3.63428081 1.23572101 19.0211303 -6.18033989 20 -25.2592496253 97.1966466 146.003773 3.6310509 1.21039904 19.1260951 -5.84743409 20 -25.2171193254 97.5595593 146.123535 3.62707659 1.18478425 19.2252339 -5.51274712 20 -25.1688666255 97.9220367 146.24072 3.62234387 1.15886896 19.3185165 -5.1763809 20 -25.1144189256 98.2840023 146.355299 3.61683837 1.13264515 19.4059145 -4.83843791 20 -25.0537034257 98.6453781 146.467239 3.61054528 1.10610448 19.4874013 -4.49902109 20 -24.9866468258 99.0060846 146.576509 3.60344938 1.07923831 19.562952 -4.15823382 20 -24.9131754259 99.3660407 146.683075 3.59553499 1.05203765 19.6325437 -3.81617991 20 -24.8332152260 99.7251638 146.786905 3.58678599 1.02449318 19.6961551 -3.47296355 20 -24.7466914261 100.08337 146.887962 3.57718577 0.99659525 19.7537668 -3.1286893 20 -24.6535289262 100.440572 146.986212 3.56671726 0.96833382 19.8053614 -2.78346202 20 -24.5536518263 100.796683 147.081616 3.55536288 0.93969854 19.850923 -2.43738687 20 -24.4469833264 101.151614 147.174138 3.54310453 0.91067867 19.8904379 -2.09056927 20 -24.3334461265 101.505274 147.263739 3.5299236 0.8812631 19.923894 -1.74311485 20 -24.2129619266 101.857568 147.350378 3.51580093 0.85144036 19.951281 -1.39512947 20 -24.0854513267 102.208402 147.434013 3.50071679 0.82119858 19.9725907 -1.04671912 20 -23.950834268 102.557678 147.514603 3.4846509 0.7905255 19.9878165 -0.69798993 20 -23.8090285

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269 102.905298 147.592103 3.46758237 0.75940848 19.9969539 -0.34904813 20 -23.6599519270 103.251161 147.666469 3.44948974 0.72783447 20 -3.6739E-15 20 -23.5035203271 103.595162 147.737655 3.43035091 0.69579002 19.9969539 0.34904813 20 -23.3396478272 103.937195 147.805611 3.41014315 0.66326125 19.9878165 0.69798993 20 -23.1682475273 104.277154 147.87029 3.38884308 0.63023388 19.9725907 1.04671912 20 -22.9892303274 104.614927 147.931641 3.3664267 0.59669321 19.951281 1.39512947 20 -22.8025056275 104.950401 147.989611 3.34286928 0.56262411 19.923894 1.74311485 20 -22.6079807276 105.283462 148.044148 3.31814545 0.52801101 19.8904379 2.09056927 20 -22.4055608277 105.61399 148.095195 3.29222912 0.49283794 19.850923 2.43738687 20 -22.195149278 105.941867 148.142696 3.26509351 0.45708848 19.8053614 2.78346202 20 -21.9766459279 106.266968 148.186593 3.2367111 0.42074576 19.7537668 3.1286893 20 -21.7499496280 106.589167 148.226825 3.20705366 0.38379252 19.6961551 3.47296355 20 -21.5149557281 106.908335 148.26333 3.17609221 0.34621104 19.6325437 3.81617991 20 -21.2715568282 107.224341 148.296045 3.14379705 0.30798318 19.562952 4.15823382 20 -21.0196427283 107.537049 148.324905 3.11013771 0.26909038 19.4874013 4.49902109 20 -20.7590998284 107.846322 148.349841 3.07508299 0.22951367 19.4059145 4.83843791 20 -20.4898117285 108.152018 148.370784 3.03860091 0.18923366 19.3185165 5.1763809 20 -20.211658286 108.453993 148.387663 3.00065877 0.14823057 19.2252339 5.51274712 20 -19.9245151287 108.7521 148.400405 2.96122312 0.10648425 19.1260951 5.84743409 20 -19.6282556288 109.046187 148.408935 2.92025976 0.06397415 19.0211303 6.18033989 20 -19.3227478289 109.3361 148.413174 2.87773378 0.02067941 18.9103715 6.51136309 20 -19.0078565290 109.62168 148.413044 2.83360955 -0.0234212 18.7938524 6.84040287 20 -18.6834419291 109.902767 148.408462 2.78785074 -0.06834918 18.6716085 7.16735899 20 -18.3493598292 110.179195 148.399346 2.74042036 -0.11412633 18.5436771 7.49213187 20 -18.0054618293 110.450794 148.385608 2.69128078 -0.16077468 18.4100971 7.81462257 20 -17.6515945294 110.717393 148.367161 2.64039376 -0.20831647 18.2709092 8.13473286 20 -17.2876295 110.978813 148.343914 2.58772047 -0.25677409 18.1261557 8.45236523 20 -16.9133155296 111.234876 148.315775 2.53322161 -0.30617007 17.9758809 8.76742294 20 -16.5285732297 111.485396 148.282648 2.47685736 -0.35652698 17.8201305 9.07980999 20 -16.1332004298 111.730184 148.244437 2.41858752 -0.40786741 17.6589519 9.38943126 20 -15.7270192299 111.969048 148.201041 2.35837156 -0.46021387 17.4923941 9.6961924 20 -15.3098468300 112.201792 148.152359 2.29616868 -0.51358875 17.3205081 10 20 -14.8814953301 112.428214 148.098288 2.23193792 -0.56801422 17.143346 10.3007615 20 -14.4417719302 112.64811 148.038721 2.16563827 -0.62351213 16.9609619 10.5983853 20 -13.9904789303 112.861272 147.973549 2.09722874 -0.68010392 16.7734114 10.8927807 20 -13.5274138304 113.067485 147.902663 2.02666854 -0.73781055 16.5807515 11.1838581 20 -13.0523696305 113.266532 147.825949 1.95391717 -0.7966523 16.3830409 11.4715287 20 -12.5651351306 113.458194 147.743294 1.87893463 -0.85664872 16.1803399 11.755705 20 -12.065495307 113.642244 147.654581 1.80168151 -0.91781844 15.9727102 12.0363005 20 -11.5532307308 113.818453 147.559691 1.72211925 -0.98017906 15.7602151 12.3132295 20 -11.0281203309 113.986589 147.458504 1.64021029 -1.04374693 15.5429192 12.5864078 20 -10.4899394310 114.146416 147.3509 1.55591833 -1.10853701 15.3208889 12.8557522 20 -9.93846197311 114.297692 147.236756 1.46920854 -1.17456269 15.0941916 13.1211806 20 -9.37346077312 114.440176 147.115946 1.38004781 -1.24183553 14.8628965 13.3826121 20 -8.79470848313 114.573619 146.988347 1.28840506 -1.31036511 14.627074 13.6399672 20 -8.20197862

Page 8: Excel Ing Vehiculo Final

314 114.697773 146.853831 1.19425154 -1.38015874 14.386796 13.8931674 20 -7.59504683315 114.812385 146.712273 1.09756111 -1.45122121 14.1421356 14.1421356 20 -6.97369207316 114.9172 146.563545 0.99831063 -1.52355459 13.8931674 14.386796 20 -6.3376982317 115.011961 146.40752 0.89648027 -1.59715786 13.6399672 14.627074 20 -5.68685561318 115.096409 146.244071 0.79205399 -1.67202669 13.3826121 14.8628965 20 -5.02096304319 115.170285 146.073072 0.68501984 -1.74815309 13.1211806 15.0941916 20 -4.33982966320 115.233326 145.894399 0.57537047 -1.82552508 12.8557522 15.3208889 20 -3.64327729321 115.285272 145.707926 0.46310355 -1.90412641 12.5864078 15.5429192 20 -2.9311429322 115.32586 145.513533 0.34822225 -1.98393614 12.3132295 15.7602151 20 -2.20328124323 115.354829 145.3111 0.23073572 -2.06492835 12.0363005 15.9727102 20 -1.45956778324 115.37192 145.100509 0.11065961 -2.14707172 11.755705 16.1803399 20 -0.69990186325 115.376876 144.881648 -0.01198343 -2.2303292 11.4715287 16.3830409 20 0.07578993326 115.369439 144.654408 -0.13716321 -2.31465764 11.1838581 16.5807515 20 0.86755014327 115.34936 144.418683 -0.26484146 -2.40000739 10.8927807 16.7734114 20 1.67538666328 115.316389 144.174374 -0.39497131 -2.48632192 10.5983853 16.9609619 20 2.49926857329 115.270285 143.921388 -0.52749672 -2.57353753 10.3007615 17.143346 20 3.33912198330 115.210812 143.659639 -0.662352 -2.66158293 10 17.3205081 20 4.19482548331 115.13774 143.389047 -0.79946128 -2.75037896 9.6961924 17.4923941 20 5.06620558332 115.050848 143.109541 -0.93873799 -2.83983824 9.38943126 17.6589519 20 5.95303193333 114.949923 142.82106 -1.08008442 -2.92986493 9.07980999 17.8201305 20 6.85501247334 114.834765 142.523552 -1.22339131 -3.0203545 8.76742294 17.9758809 20 7.77178853335 114.705184 142.216977 -1.36853743 -3.11119346 8.45236523 18.1261557 20 8.70292989336 114.561001 141.901306 -1.51538928 -3.20225931 8.13473286 18.2709092 20 9.64792999337 114.402054 141.576522 -1.66380082 -3.29342036 7.81462257 18.4100971 20 10.6062011338 114.228194 141.242624 -1.81361328 -3.38453578 7.49213187 18.5436771 20 11.5770699339 114.03929 140.899622 -1.96465503 -3.47545556 7.16735899 18.6716085 20 12.559773340 113.835228 140.547544 -2.11674159 -3.56602072 6.84040287 18.7938524 20 13.5534533341 113.615914 140.186435 -2.26967572 -3.65606343 6.51136309 18.9103715 20 14.5571564342 113.381272 139.816355 -2.42324757 -3.74540737 6.18033989 19.0211303 20 15.5698278343 113.13125 139.437383 -2.57723504 -3.8338681 5.84743409 19.1260951 20 16.5903104344 112.865819 139.049617 -2.73140421 -3.92125354 5.51274712 19.2252339 20 17.6173432345 112.584972 138.653175 -2.88550988 -4.00736459 5.1763809 19.3185165 20 18.6495608346 112.288727 138.248193 -3.0392963 -4.09199581 4.83843791 19.4059145 20 19.6854932347 111.977132 137.834832 -3.19249801 -4.17493623 4.49902109 19.4874013 20 20.7235679348 111.650257 137.41327 -3.34484079 -4.25597029 4.15823382 19.562952 20 21.7621116349 111.308202 136.983709 -3.4960428 -4.33487881 3.81617991 19.6325437 20 22.7993541350 110.951096 136.546372 -3.64581581 -4.41144012 3.47296355 19.6961551 20 23.8334336351 110.579096 136.101506 -3.79386655 -4.48543127 3.1286893 19.7537668 20 24.8624022352 110.19239 135.649379 -3.93989823 -4.55662928 2.78346202 19.8053614 20 25.8842337353 109.791193 135.190281 -4.08361207 -4.62481248 2.43738687 19.850923 20 26.8968324354 109.375754 134.724524 -4.22470903 -4.68976195 2.09056927 19.8904379 20 27.8980432355 108.946349 134.252444 -4.36289149 -4.75126293 1.74311485 19.923894 20 28.8856624356 108.503283 133.774394 -4.49786511 -4.8091063 1.39512947 19.951281 20 29.8574506357 108.046892 133.290751 -4.62934059 -4.86309001 1.04671912 19.9725907 20 30.8111458358 107.577541 132.801911 -4.75703557 -4.91302062 0.69798993 19.9878165 20 31.7444777

Page 9: Excel Ing Vehiculo Final

359 107.09562 132.308288 -4.88067641 -4.95871465 0.34904813 19.9969539 20 32.6551827360 106.60155 131.810315 -5 -5 4.89859E-15 20 20 33.5410197

Page 10: Excel Ing Vehiculo Final

j x j10 -35 -33.5410197 -30 -45

9.92623855 -35.803288436 -34.0507375 -29.9231925 -45.33045529.82212894 -36.57294149 -34.5313421 -29.8099455 -45.61848789.68793995 -37.307408592 -34.9808614 -29.6605306 -45.86292349.52410923 -38.005257176 -35.3974094 -29.4753902 -46.06273149.33124111 -38.665181585 -35.7792013 -29.2551351 -46.21703339.11010263 -39.28601084 -36.1245675 -29.0005405 -46.3251098.86161765 -39.866715198 -36.4319676 -28.7125407 -46.38640168.58685937 -40.40641141 -36.700002 -28.3922207 -46.40052098.28704116 -40.904366631 -36.9274233 -28.040808 -46.3672467.96350598 -41.360000962 -37.1131455 -27.659661 -46.28652537.61771447 -41.772888596 -37.2562518 -27.2502581 -46.1584756

7.251232 -42.142757612 -37.3560005 -26.814184 -45.983386.8657148 -42.469488439 -37.4118296 -26.3531161 -45.761684

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-0.41392827 -42.241901978 -32.5436815 -17.0784659 -36.7527577-0.85100484 -41.93676003 -31.9281246 -16.4695032 -35.9256131 0-1.27746615 -41.605122025 -31.2847439 -15.8658799 -35.0779324-1.69231535 -41.248413724 -30.6152982 -15.2686466 -34.2115193-2.09465534 -40.868057942 -29.9215621 -14.678756 -33.3281526-2.48368799 -40.465468189 -29.2053163 -14.0970635 -32.4295806-2.85871264 -40.042042844 -28.468338 -13.5243282 -31.5175146-3.21912379 -39.599159902 -27.7123923 -12.9612161 -30.5936237-3.56440832 -39.138172262 -26.9392242 -12.4083019 -29.6595306-3.89414206 -38.660403568 -26.1505517 -11.866073 -28.7168076-4.20798598 -38.167144566 -25.3480591 -11.3349333 -27.7669734-4.50568207 -37.659649984 -24.5333915 -10.8152068 -26.81149-4.78704889 -37.139135887 -23.7081498 -10.3071427 -25.8517612

-5.0519769 -36.606777497 -22.8738864 -9.81091961 -24.8891306-5.30042374 -36.063707447 -22.0321017 -9.32665029 -23.9248806

𝑉_𝐵𝐴 𝑉_𝐵

-40 -30 -20 -10 0 10 20 30 40 50

-20

-15

-10

-5

0

5

10

15

20

VECTORES ACELERACION

Vector A Vector BA Vector B

Page 11: Excel Ing Vehiculo Final

-5.53240937 -35.511014433 -21.1842412 -8.85438663 -22.9602316-5.7480112 -34.94974224 -20.3316929 -8.39412443 -21.996342

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-40 -30 -20 -10 0 10 20 30 40 50

-20

-15

-10

-5

0

5

10

15

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VECTORES ACELERACION

Vector A Vector BA Vector B

Page 12: Excel Ing Vehiculo Final

-4.22375397 -10.605062662 10.2692997 3.87470584 10.9759675-4.06515308 -10.146428199 10.7035203 4.06515308 11.4494897-3.90534045 -9.6927525877 11.1257776 4.25438857 11.9114546-3.74448747 -9.2439839357 11.5361864 4.4424774 12.3620064-3.58275794 -8.8000674937 11.9348651 4.62947706 12.8012914-3.42030837 -8.3609459922 12.3219358 4.81543784 13.2294574-3.25728825 -7.9265599581 12.6975238 5.0004031 13.6466531-3.09384036 -7.4968480103 13.0617571 5.18440963 14.0530282-2.93010105 -7.0717471346 13.4147662 5.36748792 14.4487327-2.76620051 -6.6511929396 13.7566836 5.54966253 14.8339172-2.60226305 -6.235119895 14.0876441 5.73095235 15.208732-2.43840735 -5.8234615524 14.4077835 5.91137091 15.5733275-2.27474677 -5.4161507511 14.7172394 6.09092668 15.9278537-2.11138953 -5.0131198078 15.0161505 6.26962335 16.2724599-1.94843902 -4.614300693 15.3046562 6.44746011 16.6072949-1.78599399 -4.2196251943 15.5828971 6.6244319 16.9325066

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Page 13: Excel Ing Vehiculo Final

2.49767433 6.0101290036 19.8533556 11.3954931 22.891332.61208608 6.306639443 19.8824063 11.5300495 22.9837362.72423603 6.6007657571 19.9055419 11.66256 23.07045522.83409151 6.8925424491 19.9228858 11.7929825 23.15158352.94162046 7.1820026701 19.9345608 11.9212761 23.22721543.04679133 7.4691782252 19.9406883 12.0474003 23.29744423.14957309 7.7540995813 19.9413891 12.1713158 23.36236133.24993521 8.0367958752 19.9367826 12.292984 23.4220573.34784761 8.3172949234 19.9269875 12.4123675 23.47662023.44328069 8.5956232314 19.9121215 12.5294295 23.52613843.53620524 8.8718060048 19.892301 12.6441347 23.57069753.62659249 9.1458671603 19.8676417 12.7564484 23.61038253.71441409 9.4178293376 19.838258 12.8663374 23.64527683.79964209 9.6877139119 19.8042632 12.9737693 23.6754626

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5.0293701 16.876390069 17.1562808 14.9432206 22.75165525.02280533 17.08623821 17.0292778 14.9650112 22.6704182

Page 14: Excel Ing Vehiculo Final

5.01301775 17.294112223 16.9006635 14.9839361 22.58651745 17.5 16.7705098 15 22.5

4.98374578 17.703888662 16.6388873 15.0132081 22.41091234.96424992 17.905764567 16.5058651 15.0235666 22.3192996

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Page 15: Excel Ing Vehiculo Final

1.36270967 24.282268458 10.3508336 13.0240863 16.63630311.22025491 24.374809152 10.2021101 12.9218807 16.46384071.07593448 24.464040428 10.053573 12.8172329 16.2897450.92982585 24.549914748 9.90522586 12.7101414 16.11400610.78200889 24.632383468 9.75707054 12.6006032 15.93661280.63256588 24.711396808 9.60910762 12.4886147 15.7575520.48158154 24.786903811 9.46133621 12.3741707 15.57680910.32914301 24.858852305 9.31375398 12.2572648 15.39436760.17533992 24.927188863 9.16635711 12.1378896 15.21020930.02026434 24.991858758 9.01914034 12.0160361 15.0243142

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Page 16: Excel Ing Vehiculo Final

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Page 17: Excel Ing Vehiculo Final

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Page 18: Excel Ing Vehiculo Final

10.0433137 -34.164734852 -33.0042308 -30.0402676 -44.628431910 -35 -33.5410197 -30 -45

Page 19: Excel Ing Vehiculo Final

x2 a b c2.23606798 -24 0 120 d2.21004457 -24.0018277 -1.25657326 120.009138 a

2.184347 -24.0073101 -2.51276376 120.03655 b2.15899355 -24.0164456 -3.76818885 120.082228 c2.13400141 -24.0292314 -5.02246611 120.1461572.10938662 -24.0456636 -6.27521348 120.2283182.08516405 -24.0657373 -7.52604936 120.3286862.06134742 -24.0894462 -8.77459273 120.4472312.03794926 -24.1167832 -10.0204633 120.5839162.01498094 -24.1477399 -11.2632815 120.73871.99245268 -24.182307 -12.5026688 120.9115351.97037357 -24.2204738 -13.7382477 121.1023691.94875155 -24.2622288 -14.9696417 121.3111441.92759351 -24.3075592 -16.1964759 121.5377961.90690525 -24.3564513 -17.4183765 121.7822561.88669155 -24.4088901 -18.6349712 122.044451.86695621 -24.4648596 -19.8458896 122.3242981.84770205 -24.5243429 -21.0507627 122.6217151.82893103 -24.5873218 -22.2492236 122.9366091.81064421 -24.6537771 -23.4409071 123.2688851.79284185 -24.7236886 -24.6254503 123.6184431.77552345 -24.7970349 -25.8024924 123.9851741.75868778 -24.8737937 -26.9716747 124.3689691.74233294 -24.9539418 -28.1326413 124.7697091.72645639 -25.0374545 -29.2850383 125.1872731.71105506 -25.1243066 -30.4285148 125.6215331.69612529 -25.2144714 -31.5627226 126.0723571.68166298 -25.3079217 -32.687316 126.5396091.66766358 -25.4046289 -33.8019525 127.0231441.65412213 -25.5045635 -34.9062927 127.5228181.64103332 -25.6076952 -36 128.0384761.62839154 -25.7139924 -37.0827414 128.5699621.61619088 -25.8234228 -38.154187 129.1171141.60442521 -25.9359532 -39.2140105 129.6797661.59308817 -26.0515491 -40.261889 130.2577461.58217325 -26.1701755 -41.2975034 130.8508771.57167376 -26.2917961 -42.3205382 131.458981.56158292 -26.4163739 -43.3306817 132.0818691.55189386 -26.543871 -44.3276262 132.7193551.54259963 -26.6742485 -45.3110682 133.3712421.53369324 -26.8074667 -46.2807079 134.0373331.52516768 -26.943485 -47.2362501 134.7174251.51701594 -27.0822621 -48.1774037 135.41131

1.509231 -27.2237556 -49.1038819 136.118778

𝜔_2

-40 -30 -20 -10 0 10 20 30 40 50

-20

-15

-10

-5

0

5

10

15

20

VECTORES ACELERACION

Vector A Vector BA Vector B

𝛼_2

Page 20: Excel Ing Vehiculo Final

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-40 -30 -20 -10 0 10 20 30 40 50

-20

-15

-10

-5

0

5

10

15

20

VECTORES ACELERACION

Vector A Vector BA Vector B

Page 21: Excel Ing Vehiculo Final

1.44612327 -35.7905711 -71.9890341 178.9528561.44948974 -36 -72 1801.45300793 -36.2094289 -71.9890341 181.0471441.45667582 -36.418794 -71.9561395 182.093971.46049146 -36.6280315 -71.9013265 183.1401571.46445295 -36.8370777 -71.8246116 184.1853881.46855848 -37.0458689 -71.7260183 185.2293451.47280628 -37.2543416 -71.6055765 186.2717081.47719464 -37.4624321 -71.4633229 187.3121611.48172192 -37.6700772 -71.2993009 188.3503861.48638653 -37.8772136 -71.1135605 189.3860681.49118693 -38.0837781 -70.9061582 190.4188911.49612164 -38.2897079 -70.6771572 191.448541.50118922 -38.4949403 -70.4266273 192.474701

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1.6924874 -43.7134513 -55.1551999 218.5672571.70095782 -43.8727083 -54.3390898 219.3635421.70953441 -44.0295673 -53.5064274 220.1478361.71821662 -44.1839803 -52.6574665 220.919902

Page 22: Excel Ing Vehiculo Final

1.72700393 -44.3359004 -51.7924656 221.6795021.7358958 -44.4852814 -50.9116882 222.426407

1.74489172 -44.6320776 -50.0154027 223.1603881.75399118 -44.7762444 -49.1038819 223.8812221.76319367 -44.9177379 -48.1774037 224.588691.77249871 -45.056515 -47.2362501 225.2825751.78190581 -45.1925333 -46.2807079 225.9626671.79141448 -45.3257515 -45.3110682 226.6287581.80102425 -45.456129 -44.3276262 227.2806451.81073463 -45.5836261 -43.3306817 227.9181311.82054515 -45.7082039 -42.3205382 228.541021.83045534 -45.8298245 -41.2975034 229.1491231.84046474 -45.9484509 -40.261889 229.7422541.85057285 -46.0640468 -39.2140105 230.3202341.86077923 -46.1765772 -38.154187 230.8828861.87108338 -46.2860076 -37.0827414 231.4300381.88148483 -46.3923048 -36 231.961524

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2.0137108 -47.4126782 -22.2492236 237.0633912.02533104 -47.4756571 -21.0507627 237.3782852.03704115 -47.5351404 -19.8458896 237.6757022.04884054 -47.5911099 -18.6349712 237.955552.06072856 -47.6435487 -17.4183765 238.2177442.07270456 -47.6924408 -16.1964759 238.4622042.08476788 -47.7377712 -14.9696417 238.6888562.09691784 -47.7795262 -13.7382477 238.8976312.10915372 -47.817693 -12.5026688 239.0884652.12147482 -47.8522601 -11.2632815 239.26132.13388037 -47.8832168 -10.0204633 239.4160842.14636961 -47.9105538 -8.77459273 239.5527692.15894175 -47.9342627 -7.52604936 239.6713142.17159597 -47.9543364 -6.27521348 239.7716822.18433144 -47.9707686 -5.02246611 239.8538432.19714728 -47.9835544 -3.76818885 239.9177722.21004261 -47.9926899 -2.51276376 239.96345

Page 23: Excel Ing Vehiculo Final

2.22301649 -47.9981723 -1.25657326 239.9908622.23606798 -48 -8.8175E-15 2402.24919609 -47.9981723 1.25657326 239.9908622.26239982 -47.9926899 2.51276376 239.963452.27567812 -47.9835544 3.76818885 239.9177722.28902991 -47.9707686 5.02246611 239.8538432.30245408 -47.9543364 6.27521348 239.7716822.31594947 -47.9342627 7.52604936 239.6713142.32951491 -47.9105538 8.77459273 239.5527692.34314917 -47.8832168 10.0204633 239.4160842.35685098 -47.8522601 11.2632815 239.26132.37061905 -47.817693 12.5026688 239.0884652.38445203 -47.7795262 13.7382477 238.8976312.39834854 -47.7377712 14.9696417 238.6888562.41230714 -47.6924408 16.1964759 238.4622042.42632635 -47.6435487 17.4183765 238.2177442.44040466 -47.5911099 18.6349712 237.955552.45454049 -47.5351404 19.8458896 237.6757022.46873223 -47.4756571 21.0507627 237.3782852.48297819 -47.4126782 22.2492236 237.0633912.49727666 -47.3462229 23.4409071 236.7311152.51162586 -47.2763114 24.6254503 236.3815572.52602396 -47.2029651 25.8024924 236.0148262.54046906 -47.1262063 26.9716747 235.6310312.55495923 -47.0460582 28.1326413 235.2302912.56949245 -46.9625455 29.2850383 234.8127272.58406666 -46.8756934 30.4285148 234.3784672.59867972 -46.7855286 31.5627226 233.9276432.61332944 -46.6920783 32.687316 233.4603912.62801355 -46.5953711 33.8019525 232.9768562.64272974 -46.4954365 34.9062927 232.4771822.65747559 -46.3923048 36 231.9615242.67224864 -46.2860076 37.0827414 231.4300382.68704634 -46.1765772 38.154187 230.8828862.70186607 -46.0640468 39.2140105 230.3202342.71670514 -45.9484509 40.261889 229.7422542.73156077 -45.8298245 41.2975034 229.149123

2.7464301 -45.7082039 42.3205382 228.541022.7613102 -45.5836261 43.3306817 227.918131

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Page 24: Excel Ing Vehiculo Final

2.86550732 -44.6320776 50.0154027 223.1603882.88035722 -44.4852814 50.9116882 222.4264072.89518739 -44.3359004 51.7924656 221.6795022.90999396 -44.1839803 52.6574665 220.9199022.92477296 -44.0295673 53.5064274 220.1478362.93952028 -43.8727083 54.3390898 219.3635422.95423174 -43.7134513 55.1551999 218.5672572.96890303 -43.5518447 55.9545092 217.7592232.98352972 -43.3879377 56.7367743 216.9396892.99810728 -43.2217803 57.5017567 216.1089013.01263105 -43.053423 58.2492236 215.2671153.02709624 -42.8829172 58.9789472 214.4145863.04149797 -42.7103148 59.6907052 213.5515743.05583121 -42.5356684 60.3842809 212.6783423.07009081 -42.3590312 61.0594629 211.7951563.08427149 -42.1804569 61.7160457 210.9022843.09836785 -42 62.3538291 2103.11237433 -41.8177154 62.9726189 209.0885773.12628528 -41.6336588 63.5722267 208.1682943.14009487 -41.447886 64.1524697 207.239433.15379716 -41.2604538 64.7131713 206.3022693.16738607 -41.0714191 65.2541607 205.3570963.18085536 -40.8808397 65.775273 204.4041993.19419866 -40.6887735 66.2763494 203.4438683.20740947 -40.4952791 66.7572375 202.4763963.22048112 -40.3004154 67.2177907 201.5020773.23340681 -40.1042417 67.6578687 200.5212093.24617959 -39.9068179 68.0773374 199.5340893.25879236 -39.7082039 68.4760692 198.541023.27123788 -39.5084605 68.8539424 197.5423023.28350875 -39.3076483 69.2108421 196.5382413.29559743 -39.1058285 69.5466595 195.5291433.30749624 -38.9030627 69.8612923 194.5153143.31919732 -38.6994127 70.1546447 193.4970633.33069271 -38.4949403 70.4266273 192.4747013.34197425 -38.2897079 70.6771572 191.448543.35303367 -38.0837781 70.9061582 190.4188913.36386256 -37.8772136 71.1135605 189.3860683.37445234 -37.6700772 71.2993009 188.350386

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3.4324727 -36.418794 71.9561395 182.09397

Page 25: Excel Ing Vehiculo Final

3.44113744 -36.2094289 71.9890341 181.0471443.44948974 -36 72 180

3.4575199 -35.7905711 71.9890341 178.9528563.46521811 -35.581206 71.9561395 177.906033.47257446 -35.3719685 71.9013265 176.8598433.47957897 -35.1629223 71.8246116 175.8146123.48622155 -34.9541311 71.7260183 174.7706553.49249208 -34.7456584 71.6055765 173.7282923.49838034 -34.5375679 71.4633229 172.6878393.50387608 -34.3299228 71.2993009 171.6496143.50896901 -34.1227864 71.1135605 170.6139323.51364881 -33.9162219 70.9061582 169.5811093.51790512 -33.7102921 70.6771572 168.551463.52172763 -33.5050597 70.4266273 167.5252993.52510599 -33.3005873 70.1546447 166.5029373.52802992 -33.0969373 69.8612923 165.4846863.53048914 -32.8941715 69.5466595 164.4708573.53247347 -32.6923517 69.2108421 163.4617593.53397279 -32.4915395 68.8539424 162.4576983.53497707 -32.2917961 68.4760692 161.458983.53547642 -32.0931821 68.0773374 160.4659113.53546107 -31.8957583 67.6578687 159.4787913.53492142 -31.6995846 67.2177907 158.4979233.53384804 -31.5047209 66.7572375 157.5236043.53223172 -31.3112265 66.2763494 156.5561323.53006347 -31.1191603 65.775273 155.5958013.52733457 -30.9285809 65.2541607 154.6429043.52403657 -30.7395462 64.7131713 153.6977313.52016132 -30.552114 64.1524697 152.760573.51570105 -30.3663412 63.5722267 151.8317063.51064831 -30.1822846 62.9726189 150.9114233.50499609 -30 62.3538291 1503.49873776 -29.8195431 61.7160457 149.097716

3.4918672 -29.6409688 61.0594629 148.2048443.48437874 -29.4643316 60.3842809 147.3216583.47626727 -29.2896852 59.6907052 146.448426

3.4675282 -29.1170828 58.9789472 145.5854143.45815755 -28.946577 58.2492236 144.7328853.44815196 -28.7782197 57.5017567 143.8910993.43750873 -28.6120623 56.7367743 143.0603113.42622583 -28.4481553 55.9545092 142.2407773.41430197 -28.2865487 55.1551999 141.432743

3.4017366 -28.1272917 54.3390898 140.6364583.38852998 -27.9704327 53.5064274 139.8521643.37468317 -27.8160197 52.6574665 139.080098

Page 26: Excel Ing Vehiculo Final

3.36019807 -27.6640996 51.7924656 138.3204983.34507747 -27.5147186 50.9116882 137.5735933.32932506 -27.3679224 50.0154027 136.8396123.31294547 -27.2237556 49.1038819 136.1187783.29594428 -27.0822621 48.1774037 135.411313.27832805 -26.943485 47.2362501 134.7174253.26010434 -26.8074667 46.2807079 134.0373333.24128172 -26.6742485 45.3110682 133.3712423.22186982 -26.543871 44.3276262 132.7193553.20187927 -26.4163739 43.3306817 132.0818693.18132181 -26.2917961 42.3205382 131.458983.16021018 -26.1701755 41.2975034 130.8508773.13855823 -26.0515491 40.261889 130.2577463.11638085 -25.9359532 39.2140105 129.6797663.09369397 -25.8234228 38.154187 129.117114

3.0705146 -25.7139924 37.0827414 128.5699623.04686074 -25.6076952 36 128.0384763.02275142 -25.5045635 34.9062927 127.5228182.99820663 -25.4046289 33.8019525 127.0231442.97324735 -25.3079217 32.687316 126.5396092.94789543 -25.2144714 31.5627226 126.0723572.92217365 -25.1243066 30.4285148 125.6215332.89610558 -25.0374545 29.2850383 125.187273

2.8697156 -24.9539418 28.1326413 124.7697092.84302879 -24.8737937 26.9716747 124.3689692.81607094 -24.7970349 25.8024924 123.9851742.78886841 -24.7236886 24.6254503 123.618443

2.7614481 -24.6537771 23.4409071 123.2688852.73383738 -24.5873218 22.2492236 122.936609

2.706064 -24.5243429 21.0507627 122.6217152.67815602 -24.4648596 19.8458896 122.3242982.65014172 -24.4088901 18.6349712 122.044452.62204952 -24.3564513 17.4183765 121.7822562.59390788 -24.3075592 16.1964759 121.5377962.56574523 -24.2622288 14.9696417 121.3111442.53758987 -24.2204738 13.7382477 121.1023692.50946989 -24.182307 12.5026688 120.9115352.48141305 -24.1477399 11.2632815 120.73872.45344676 -24.1167832 10.0204633 120.5839162.42559791 -24.0894462 8.77459273 120.4472312.39789286 -24.0657373 7.52604936 120.3286862.37035731 -24.0456636 6.27521348 120.2283182.34301626 -24.0292314 5.02246611 120.146157

2.3158939 -24.0164456 3.76818885 120.0822282.28901361 -24.0073101 2.51276376 120.03655

Page 27: Excel Ing Vehiculo Final

2.26239781 -24.0018277 1.25657326 120.0091382.23606798 -24 1.76349E-14 120

Page 28: Excel Ing Vehiculo Final

i j Vector A i j6 -137.42982 -92.7084603 -200 20 -180 971.907258 107.1545412 -132.363397 -87.2656993 -200.318587 16.5064726 -180 940.993189 80.93199597 -127.035993 -81.6462536 -0.69798993 13.0079172 -180 907.900522 54.75702989 -121.452571 -75.8561001 -1.04671912 9.50539945 -180 872.636177 28.7568676

10 -115.619348 -69.9022379 -1.39512947 5.99998626 -180 835.219631 3.060728110 -109.543771 -63.7926659 -1.74311485 2.49274541 -180 795.683152 -22.2013508

-103.234491 -57.5363492 -2.09056927 -1.01525475 -180 754.071899 -46.8997219-96.701324 -51.1431757 -2.43738687 -4.52294565 -180 710.443856 -70.906355

-89.9551947 -44.6239016 -2.78346202 -8.02925882 -180 664.869624 -94.0960593-83.0080776 -37.9900885 -3.1286893 -11.5331262 -180 617.432054 -116.347682-75.8729228 -31.2540309 -3.47296355 -15.0334805 -180 568.225734 -137.545262-68.5635739 -24.4286767 -3.81617991 -18.5292554 -180 517.356329 -157.579122-61.0946784 -17.5275405 -4.15823382 -22.0193861 -180 464.939797 -176.346879

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𝛼_3 𝛼_4

Page 29: Excel Ing Vehiculo Final

169.620438 166.339944 -13.8931674 -124.544878 -180 -1200.91098 7.03337328174.417928 169.38284 -14.1421356 -127.279221 -180 -1232.99883 28.6779444

179.00961 172.236937 -14.386796 -129.974793 -180 -1263.38751 50.4432015183.396356 174.905342 -14.627074 -132.630773 -180 -1292.09452 72.2624169187.579528 177.391524 -14.8628965 -135.246353 -180 -1319.14184 94.0723854191.560941 179.699271 -15.0941916 -137.820735 -180 -1344.55553 115.813518195.342824 181.832654 -15.3208889 -140.353136 -180 -1368.36523 137.429897198.927778 183.795987 -15.5429192 -142.842784 -180 -1390.60379 158.869303202.318742 185.593794 -15.7602151 -145.288921 -180 -1411.30682 180.083206205.518956 187.230772 -15.9727102 -147.690802 -180 -1430.51232 201.026735208.531924 188.711761 -16.1803399 -150.047694 -180 -1448.26033 221.658622211.361384 190.041712 -16.3830409 -152.35888 -180 -1464.59252 241.941127214.011273 191.225659 -16.5807515 -154.623656 -180 -1479.55194 261.839943216.485698 192.268693 -16.7734114 -156.841333 -180 -1493.18267 281.32409

218.78891 193.175937 -16.9609619 -159.011234 -180 -1505.52951 300.365793220.925272 193.952523 -17.143346 -161.132699 -180 -1516.6378 318.940356222.899239 194.603572 -17.3205081 -163.205081 -180 -1526.55312 337.026021224.715334 195.134175 -17.4923941 -165.227749 -180 -1535.32106 354.603829226.378124 195.549377 -17.6589519 -167.200087 -180 -1542.98708 371.65747227.892201 195.854157 -17.8201305 -169.121495 -180 -1549.59628 388.173137229.262166 196.053423 -17.9758809 -170.991386 -180 -1555.1933 404.139377230.492611 196.15199 -18.1261557 -172.809192 -180 -1559.82209 419.546941231.588102 196.154577 -18.2709092 -174.574359 -180 -1563.52589 434.388636232.553168 196.065793 -18.4100971 -176.286348 -180 -1566.34702 448.659184233.392288 195.890133 -18.5436771 -177.944639 -180 -1568.32688 462.355075234.109878 195.631968 -18.6716085 -179.548726 -180 -1569.5058 475.474437234.710284 195.295539 -18.7938524 -181.098121 -180 -1569.92301 488.016897235.197773 194.884958 -18.9103715 -182.592352 -180 -1569.61658 499.983456235.576521 194.404196 -19.0211303 -184.030963 -180 -1568.62337 511.376366235.850614 193.857088 -19.1260951 -185.413517 -180 -1566.97899 522.199012236.024037 193.247325 -19.2252339 -186.739592 -180 -1564.71778 532.455801236.100668 192.578458 -19.3185165 -188.008784 -180 -1561.8728 542.152059236.084279 191.853893 -19.4059145 -189.220707 -180 -1558.47583 551.293927235.978531 191.076893 -19.4874013 -190.374992 -180 -1554.55731 559.888269235.786968 190.250581 -19.562952 -191.471286 -180 -1550.14642 567.942584235.513022 189.377936 -19.6325437 -192.509257 -180 -1545.27104 575.464924235.160003 188.461797 -19.6961551 -193.488587 -180 -1539.95776 582.463815234.731106 187.504867 -19.7537668 -194.408979 -180 -1534.23192 588.948188234.229407 186.509711 -19.8053614 -195.270152 -180 -1528.11761 594.927312233.657862 185.47876 -19.850923 -196.071843 -180 -1521.63772 600.41073233.019312 184.414315 -19.8904379 -196.81381 -180 -1514.8139 605.408207232.316479 183.31855 -19.923894 -197.495825 -180 -1507.66669 609.929676231.551969 182.193511 -19.951281 -198.117681 -180 -1500.21544 613.985191230.728276 181.041124 -19.9725907 -198.679188 -180 -1492.47842 617.584885229.847778 179.863195 -19.9878165 -199.180175 -180 -1484.47282 620.738931

Page 30: Excel Ing Vehiculo Final

228.912746 178.661417 -19.9969539 -199.620491 -180 -1476.21479 623.457505227.92534 177.437367 -20 -200 -180 -1467.71944 625.750757

226.887615 176.192518 -19.9969539 -200.318587 -180 -1459.00094 627.628782225.801523 174.928234 -19.9878165 -200.576155 -180 -1450.0725 629.101598224.668914 173.64578 -19.9725907 -200.772626 -180 -1440.94642 630.179119

223.49154 172.346322 -19.951281 -200.90794 -180 -1431.63413 630.87114222.271058 171.030931 -19.923894 -200.982054 -180 -1422.14622 631.18732221.009032 169.700589 -19.8904379 -200.994948 -180 -1412.49246 631.137169219.706938 168.356188 -19.850923 -200.946617 -180 -1402.68188 630.730036218.366163 166.998538 -19.8053614 -200.837076 -180 -1392.72273 629.975097216.988015 165.628366 -19.7537668 -200.666357 -180 -1382.62259 628.881353215.573717 164.246323 -19.6961551 -200.434514 -180 -1372.38834 627.457621214.124418 162.852985 -19.6325437 -200.141617 -180 -1362.02623 625.71253212.641194 161.448859 -19.562952 -199.787754 -180 -1351.5419 623.65452211.125047 160.034381 -19.4874013 -199.373034 -180 -1340.94041 621.291842209.576915 158.609924 -19.4059145 -198.897583 -180 -1330.22626 618.632557207.997671 157.1758 -19.3185165 -198.361546 -180 -1319.40345 615.684536206.388125 155.732261 -19.2252339 -197.765086 -180 -1308.47545 612.455467204.749031 154.279504 -19.1260951 -197.108385 -180 -1297.44531 608.952856203.081089 152.817671 -19.0211303 -196.391643 -180 -1286.31561 605.18403201.384945 151.346858 -18.9103715 -195.615078 -180 -1275.08853 601.156146199.661198 149.867109 -18.7938524 -194.778927 -180 -1263.76588 596.876194197.910402 148.378426 -18.6716085 -193.883444 -180 -1252.34909 592.351005196.133067 146.880767 -18.5436771 -192.928903 -180 -1240.83927 587.587257194.329665 145.374051 -18.4100971 -191.915593 -180 -1229.2372 582.591485192.500629 143.85816 -18.2709092 -190.843824 -180 -1217.54339 577.370085190.646361 142.332941 -18.1261557 -189.713923 -180 -1205.75808 571.929324188.767229 140.798209 -17.9758809 -188.526232 -180 -1193.88128 566.27535186.863576 139.253747 -17.8201305 -187.281115 -180 -1181.91275 560.414197184.935717 137.69931 -17.6589519 -185.97895 -180 -1169.85207 554.351797182.983945 136.134631 -17.4923941 -184.620134 -180 -1157.69863 548.093988181.008533 134.559415 -17.3205081 -183.205081 -180 -1145.45167 541.64652179.009734 132.973346 -17.143346 -181.734222 -180 -1133.11028 535.015068176.987788 131.376091 -16.9609619 -180.208005 -180 -1120.67342 528.205237

174.94292 129.767297 -16.7734114 -178.626894 -180 -1108.13996 521.222573172.875347 128.146597 -16.5807515 -176.991373 -180 -1095.50867 514.072569170.785275 126.513608 -16.3830409 -175.301938 -180 -1082.77824 506.760675168.672902 124.867938 -16.1803399 -173.559104 -180 -1069.94732 499.292307166.538426 123.209182 -15.9727102 -171.763402 -180 -1057.01452 491.672851

164.38204 121.536929 -15.7602151 -169.91538 -180 -1043.97839 483.907674162.203936 119.85076 -15.5429192 -168.0156 -180 -1030.83752 476.002128160.004308 118.150252 -15.3208889 -166.064641 -180 -1017.59046 467.961561157.783353 116.434979 -15.0941916 -164.063097 -180 -1004.23581 459.791317155.541274 114.70451 -14.8628965 -162.011577 -180 -990.77216 451.49675153.278279 112.95842 -14.627074 -159.910708 -180 -977.198176 443.083224

Page 31: Excel Ing Vehiculo Final

150.994583 111.196279 -14.386796 -157.761127 -180 -963.512559 434.556117148.690413 109.417665 -14.1421356 -155.563492 -180 -949.714078 425.920833146.366003 107.622157 -13.8931674 -153.31847 -180 -935.801576 417.1828144.021602 105.809342 -13.6399672 -151.026746 -180 -921.773982 408.347475141.657471 103.978813 -13.3826121 -148.689018 -180 -907.630319 399.420349139.273884 102.130172 -13.1211806 -146.305997 -180 -893.369716 390.40695

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Page 32: Excel Ing Vehiculo Final

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Vector BA i j Vector B A B C-1137.00874 116.666667 388.545664 -1059.37614 6.70820393 6.70820393 300-1109.66885 134.590082 346.942541 -1013.70798 6.76050209 6.72559728 300.262964-1080.33481 150.510097 305.144738 -966.043664 6.81263438 6.74283538 300.356713-1049.00268 164.32064 263.261534 -916.416872 6.86453739 6.75986548 300.286009-1015.67823 175.923279 221.40509 -864.872943 6.91614837 6.77663542 300.055922-980.377293 185.22831 179.689467 -811.468901 6.96740548 6.79309399 299.671764-943.125819 192.155762 138.229604 -756.273335 7.01824808 6.80919115 299.139013

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1586.32246 -1602.03601 -580.159001 1594.56699 8.42055132 6.42085593 34.61186531580.77024 -1591.71452 -580.610523 1582.37066 8.41362231 6.41362231 31.06394531574.79196 -1580.69747 -581.09763 1569.96791 8.40636196 6.40666657 27.54477711568.40334 -1569.00816 -581.613998 1557.37419 8.39877235 6.3999907 24.05476441561.61937 -1556.66939 -582.153283 1544.6039 8.39085543 6.39359636 20.5942821554.45429 -1543.70343 -582.709127 1531.67039 8.38261304 6.38748494 17.16367721546.92164 -1530.13206 -583.275175 1518.58603 8.37404696 6.38165756 13.76327211539.03426 -1515.97654 -583.845077 1505.36224 8.36515889 6.3761151 10.3933651530.80433 -1501.25761 -584.412498 1492.00949 8.35595049 6.37085819 7.054232011522.24338 -1485.99553 -584.971122 1478.53739 8.34642335 6.36588721 3.746129131513.36229 -1470.21006 -585.51466 1464.95468 8.33657903 6.36120235 0.46929331504.17135 -1453.92052 -586.03685 1451.26929 8.32641906 6.35680356 -2.776055861494.68026 -1437.14571 -586.53146 1437.48837 8.31594496 6.35269059 -5.989714681484.89816 -1419.90406 -586.992294 1423.61829 8.30515822 6.34886301 -9.171494081474.83365 -1402.21352 -587.41319 1409.66473 8.29406034 6.34532021 -12.3212183

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1051.80185 -717.322376 -548.686468 942.542847 7.80558404 6.36690444 -93.41617881035.15093 -693.479338 -544.790078 926.064304 7.78557743 6.37136387 -95.48101951018.33772 -669.699187 -540.671228 909.460982 7.76533776 6.37602102 -97.51031071001.36448 -645.999145 -536.325249 892.728989 7.74486863 6.38087191 -99.5039414984.233558 -622.396681 -531.747563 875.86448 7.72417373 6.38591251 -101.4618966.947382 -598.909507 -526.933687 858.863668 7.70325679 6.39113873 -103.383772949.508474 -575.555579 -521.879237 841.722835 7.68212165 6.39654643 -105.269745931.919459 -552.35309 -516.579939 824.438346 7.66077219 6.40213141 -107.119603914.183068 -529.320467 -511.03163 807.006664 7.63921237 6.40788942 -108.933233896.302141 -506.476361 -505.230267 789.424355 7.61744621 6.41381616 -110.710517

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190.759562 26.6229053 -107.87122 41.985435 6.73437027 6.69946546 -149.63151170.661117 29.1666667 -91.5431532 18.1753179 6.70820393 6.70820393 -150150.611242 30.8687039 -74.9577452 -5.76077847 6.68201205 6.71691687 -150.329651130.616186 31.7215564 -58.119933 -29.8172755 6.65579961 6.7255986 -150.620495110.682164 31.7187071 -41.0349259 -53.9883587 6.62957157 6.73424348 -150.87256790.8153521 30.8546078 -23.7082029 -78.2679826 6.60333288 6.74284583 -151.08591171.0218823 29.124704 -6.14550874 -102.649877 6.5770885 6.75139998 -151.260576

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-589.616501 -641.401836 778.036006 -1049.01521 5.59965166 6.9889684 -128.959291-602.716388 -669.246262 798.119085 -1070.78404 5.57700918 6.99122274 -127.676225-615.598404 -697.260491 818.065003 -1092.31007 5.55454721 6.99322681 -126.359398-628.262439 -725.412121 837.864194 -1113.58559 5.53227001 6.99497742 -125.008915-640.708542 -753.668572 857.507213 -1134.60307 5.51018187 6.99647152 -123.624871-652.936924 -781.997135 876.984743 -1155.35516 5.48828704 6.9977062 -122.207358-664.947954 -810.365025 896.287609 -1175.83468 5.46658981 6.99867869 -120.75646-676.742156 -838.739426 915.406782 -1196.03462 5.44509446 6.99938639 -119.272252-688.320207 -867.087546 934.333386 -1215.9482 5.42380532 6.99982682 -117.754804-699.682934 -895.376665 953.058712 -1235.56879 5.40272668 6.9999977 -116.204177-710.831314 -923.574184 971.574219 -1254.88999 5.38186289 6.99989687 -114.620422-721.766465 -951.647676 989.871543 -1273.90562 5.36121829 6.99952238 -113.003583-732.489651 -979.564931 1007.94251 -1292.60969 5.34079727 6.99887241 -111.353695-743.002273 -1007.29401 1025.77912 -1310.99644 5.32060421 6.99794535 -109.670783-753.305871 -1034.80328 1043.3736 -1329.06034 5.30064356 6.99673975 -107.954861-763.402117 -1062.06149 1060.71836 -1346.79609 5.28091975 6.99525435 -106.205934-773.292813 -1089.03778 1077.80602 -1364.19863 5.26143728 6.99348809 -104.423996-782.979893 -1115.70174 1094.62943 -1381.26312 5.24220067 6.99144009 -102.60903-792.465412 -1142.02348 1111.18163 -1397.98498 5.22321448 6.98910966 -100.761006-801.751549 -1167.97361 1127.45593 -1414.35988 5.2044833 6.98649635 -98.8798857-810.840603 -1193.52337 1143.44583 -1430.38373 5.18601179 6.98359988 -96.9656157-819.734989 -1218.64458 1159.14508 -1446.05271 5.16780462 6.9804202 -95.0181315-828.437237 -1243.30974 1174.54768 -1461.36325 5.14986655 6.97695746 -93.0373557-836.949988 -1267.49205 1189.64785 -1476.31204 5.13220236 6.97321207 -91.0231979-845.275991 -1291.16545 1204.44007 -1490.89603 5.1148169 6.96918461 -88.9755544

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-912.31061 -1477.42933 1322.92621 -1605.36897 4.97172335 6.92046348 -69.0158945-918.942518 -1494.76426 1334.39111 -1616.19787 4.95740685 6.91370206 -66.6245927-925.424415 -1511.36078 1345.50421 -1626.64669 4.94342718 6.90668154 -64.1977213-931.760179 -1527.20388 1356.26311 -1636.71577 4.92979012 6.89940563 -61.7350012-937.953768 -1542.27957 1366.66566 -1646.40569 4.9165016 6.89187828 -59.2361378-944.009222 -1556.57494 1376.70997 -1655.71736 4.90356763 6.88410377 -56.7008215-949.930659 -1570.07814 1386.39443 -1664.65196 4.89099437 6.87608667 -54.1287274-955.722277 -1582.77841 1395.71767 -1673.21097 4.87878805 6.86783184 -51.5195159-961.388352 -1594.66604 1404.67858 -1681.39615 4.86695506 6.85934445 -48.8728327-966.933232 -1605.73244 1413.27632 -1689.20956 4.8555019 6.85063 -46.1883088-972.361346 -1615.97007 1421.51029 -1696.65357 4.8444352 6.84169427 -43.4655614-977.677194 -1625.37247 1429.38017 -1703.73081 4.83376174 6.83254339 -40.7041938

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-982.885351 -1633.93426 1436.88584 -1710.44422 4.82348842 6.82318381 -37.903796-987.990466 -1641.65114 1444.02747 -1716.79704 4.81362231 6.81362231 -35.0639453-992.997258 -1648.51985 1450.80543 -1722.79279 4.80417059 6.80386598 -32.184207-997.910521 -1654.53817 1457.22037 -1728.43527 4.79514063 6.79392228 -29.2641348-1002.73512 -1659.70493 1463.27312 -1733.7286 4.78653993 6.783799 -26.3032721-1007.47598 -1664.01995 1468.96478 -1738.67715 4.77837618 6.77350428 -23.3011524-1012.13812 -1667.48409 1474.29663 -1743.2856 4.77065721 6.7630466 -20.2573007-1016.72661 -1670.09913 1479.27019 -1747.5589 4.76339102 6.75243481 -17.1712344-1021.24659 -1671.86785 1483.88716 -1751.5023 4.75658581 6.74167811 -14.042465-1025.70326 -1672.79392 1488.14944 -1755.12132 4.75024993 6.73078607 -10.870499-1030.10191 -1672.88195 1492.05913 -1758.42173 4.74439193 6.71976861 -7.65483978-1034.44787 -1672.13736 1495.61849 -1761.40959 4.73902052 6.70863603 -4.39498934-1038.74655 -1670.56647 1498.82994 -1764.09124 4.73414463 6.697399 -1.09045018-1043.00342 -1668.17636 1501.69607 -1766.47326 4.72977337 6.68606857 2.25927261-1047.22399 -1664.97488 1504.2196 -1768.56248 4.72591603 6.67465616 5.65466902-1051.41385 -1660.97061 1506.40336 -1770.36598 4.72258211 6.66317357 9.09622159-1055.57862 -1656.17281 1508.25032 -1771.89109 4.71978133 6.65163298 12.5844027-1059.72401 -1650.59137 1509.76351 -1773.14536 4.71752356 6.64004695 16.1196715-1063.85572 -1644.23679 1510.94607 -1774.13656 4.71581893 6.62842844 19.7024709-1067.97954 -1637.12009 1511.80118 -1774.87265 4.71467774 6.61679077 23.3332235-1072.10126 -1629.2528 1512.33204 -1775.36182 4.7141105 6.60514765 27.0123287

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-1084.5122 -1601.26882 1512.01138 -1775.43203 4.71596071 6.57032842 38.3433056-1088.68396 -1590.52232 1511.27733 -1775.01851 4.71779852 6.55880822 42.2191866-1092.88286 -1579.08829 1510.23481 -1774.40124 4.7202659 6.54735681 46.1449046-1097.11472 -1566.98005 1508.88673 -1773.5892 4.72337458 6.53599015 50.1206183-1101.38531 -1554.21098 1507.23581 -1772.5914 4.72713647 6.52472456 54.1464271-1105.70036 -1540.79448 1505.2846 -1771.41687 4.73156366 6.5135767 58.2223637-1110.06551 -1526.74394 1503.0354 -1770.07463 4.73666842 6.5025636 62.3483879-1114.48629 -1512.0726 1500.49026 -1768.57366 4.74246319 6.4917026 66.5243782-1118.96812 -1496.79357 1497.65088 -1766.92284 4.74896057 6.48101137 70.7501247-1123.51626 -1480.9197 1494.51861 -1765.13092 4.75617329 6.47050789 75.0253204-1128.13578 -1464.46355 1491.09438 -1763.20648 4.76411424 6.46021043 79.3495525-1132.83156 -1447.43731 1487.37864 -1761.15785 4.7727964 6.45013753 83.722293-1137.60821 -1429.85276 1483.37135 -1758.99308 4.78223286 6.44030801 88.1428895-1142.47002 -1411.72118 1479.07187 -1756.71986 4.79243681 6.4307409 92.610555-1147.42097 -1393.05333 1474.47893 -1754.34548 4.80342148 6.42145547 97.1243576-1152.46464 -1373.85936 1469.59056 -1751.87673 4.81520014 6.41247116 101.68321-1157.60416 -1354.14879 1464.40403 -1749.31983 4.82778606 6.40380757 106.285857-1162.84216 -1333.93047 1458.91579 -1746.68034 4.84119252 6.39548444 110.930866-1168.18069 -1313.21251 1453.1214 -1743.9631 4.85543273 6.38752161 115.616617-1173.62116 -1292.00228 1447.01543 -1741.17209 4.8705198 6.37993896 120.341285-1179.16427 -1270.30637 1440.59145 -1738.31038 4.88646674 6.37275639 125.102836

-1184.8099 -1248.13059 1433.84193 -1735.37997 4.90328638 6.36599378 129.899009

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-1190.55706 -1225.47997 1426.75816 -1732.38169 4.92099134 6.35967094 134.727307-1196.40376 -1202.35876 1419.33021 -1729.31513 4.93959397 6.35380753 139.584989-1202.34694 -1178.77044 1411.54685 -1726.17842 4.95910633 6.34842307 144.469051-1208.38233 -1154.71779 1403.39548 -1722.96817 4.97954008 6.3435368 149.376225-1214.50436 -1130.20293 1394.86211 -1719.67932 5.00090646 6.33916767 154.302963-1220.70604 -1105.22735 1385.93127 -1716.30496 5.02321621 6.33533427 159.245431-1226.97881 -1079.79207 1376.58599 -1712.83623 5.0464795 6.33205471 164.199501-1233.31245 -1053.89769 1366.80775 -1709.26214 5.07070585 6.32934663 169.160746

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-1315.6227 -178.234581 807.3059 -1431.06231 6.13985655 6.52147454 285.073603-1307.65689 -146.294486 773.482686 -1406.5906 6.18990543 6.53720178 287.363674-1298.23638 -115.017415 738.653311 -1380.40878 6.24044596 6.55331489 289.468769-1287.28676 -84.5185688 702.85458 -1352.4529 6.29142595 6.56977216 291.386899-1274.73651 -54.9172725 666.131099 -1322.66423 6.34279107 6.58652976 293.116803-1260.51776 -26.3362099 628.535354 -1290.99018 6.394485 6.60354193 294.657949-1244.56697 1.09944031 590.127678 -1257.38503 6.44644965 6.62076114 296.010531-1226.82577 27.2629564 550.976124 -1221.81085 6.49862536 6.6381383 297.175454-1207.24161 52.0271038 511.15622 -1184.23815 6.55095112 6.65562303 298.154313-1185.76854 75.2652316 470.750617 -1144.64667 6.60336484 6.67316383 298.949355

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-1162.36785 96.8524206 429.84863 -1103.026 6.6558036 6.69070841 299.563442-1137.00874 116.666667 388.545664 -1059.37614 6.70820393 6.70820393 300

Page 46: Excel Ing Vehiculo Final

D E F-6 -2 281.391122

-5.94101098 -1.94070637 261.567989-5.88115744 -1.8799391 241.354542-5.82049194 -1.81775101 220.749285-5.75907039 -1.75419849 199.752623

-5.6969519 -1.68934129 178.366933-5.63419861 -1.6232424 156.596615-5.57087546 -1.55596776 134.44812-5.50704995 -1.48758609 111.929959-5.44279191 -1.41816859 89.0526976-5.37817319 -1.3477887 65.8289232-5.31326739 -1.27652176 42.2731974-5.24814957 -1.20444477 18.4019881-5.18289591 -1.13163604 -5.76641475-5.11758342 -1.05817488 -30.212001-5.05228963 -0.98414128 -54.9131554-4.98709223 -0.90961563 -79.8467867

-4.9220688 -0.83467832 -104.988466-4.85729648 -0.75940951 -130.312578-4.79285165 -0.6838888 -155.792472

-4.7288097 -0.60819494 -181.400627-4.6652447 -0.53240555 -207.108812

-4.60222916 -0.45659687 -232.888251-4.53983381 -0.38084352 -258.709787-4.47812734 -0.30521826 -284.544044-4.41717624 -0.22979181 -310.361579-4.35704456 -0.15463266 -336.133039-4.29779383 -0.07980688 -361.829302-4.23948285 -0.00537804 -387.421612-4.18216761 0.06859298 -412.881709-4.12590117 0.14204802 -438.181947-4.07073362 0.21493178 -463.2954-4.01671198 0.28719183 -488.19596

-3.9638802 0.35877867 -512.858425-3.91227912 0.42964574 -537.258575-3.86194647 0.49974944 -561.373235

-3.8129169 0.56904911 -585.180334-3.76522199 0.63750699 -608.65895-3.71889029 0.7050882 -631.78934-3.67394739 0.77176069 -654.552973-3.63041596 0.83749516 -676.932546-3.58831585 0.90226499 -698.911987-3.54766415 0.9660462 -720.476465-3.50847529 1.0288173 -741.612381

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-3.47076114 1.09055926 -762.307352-3.43453107 1.15125537 -782.550202

-3.3997921 1.21089116 -802.330932-3.36654897 1.26945431 -821.640694-3.33480426 1.32693452 -840.471762-3.30455852 1.38332342 -858.817493-3.27581031 1.43861447 -876.672294-3.24855639 1.49280283 -894.031576-3.22279176 1.54588529 -910.891716-3.19850978 1.59786017 -927.25001-3.17570232 1.64872717 -943.104628-3.15435979 1.69848734 -958.45457-3.13447126 1.74714293 -973.299616-3.11602459 1.79469734 -987.640283-3.09900648 1.84115499 -1001.47777-3.08340257 1.88652128 -1014.81393-3.06919752 1.93080248 -1027.65121

-3.0563751 1.97400566 -1039.99258-3.04491827 2.0161386 -1051.84154-3.03480924 2.05720976 -1063.20207-3.02602955 2.09722816 -1074.07852-3.01856013 2.13620335 -1084.47566-3.01238136 2.17414536 -1094.39859-3.00747315 2.21106459 -1103.85268-3.00381497 2.24697184 -1112.84361-3.00138593 2.28187817 -1121.37725

-3.0001648 2.31579492 -1129.45969-3.00013007 2.34873362 -1137.09714

-3.00126 2.38070601 -1144.29598-3.00353267 2.41172392 -1151.06267-3.00692598 2.44179931 -1157.40373-3.01141771 2.4709442 -1163.32575-3.01698558 2.49917063 -1168.83532-3.02360722 2.52649067 -1173.93903-3.03126026 2.55291636 -1178.64343-3.03992231 2.5784597 -1182.95505

-3.049571 2.60313265 -1186.88031-3.06018401 2.62694706 -1190.42559-3.07173909 2.6499147 -1193.59712-3.08421408 2.67204723 -1196.40105

-3.0975869 2.69335617 -1198.84337-3.11183561 2.7138529 -1200.92994-3.12693839 2.73354866 -1202.66646-3.14287357 2.75245452 -1204.05845-3.15961964 2.77058137 -1205.11126

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-4.4456534 2.91834332 -949.492624

Page 49: Excel Ing Vehiculo Final

-4.4802743 2.90904244 -937.439482-4.51495117 2.8992624 -925.107936-4.54967355 2.88900605 -912.49795-4.58443125 2.87827616 -899.609598-4.61921425 2.8670754 -886.443065-4.65401276 2.8554064 -872.998661-4.68881722 2.84327166 -859.276828-4.72361826 2.83067367 -845.27815

-4.7584067 2.8176148 -831.003357-4.79317361 2.80409741 -816.45334-4.82791024 2.79012375 -801.629152-4.86260803 2.77569606 -786.532018-4.89725864 2.7608165 -771.163342-4.93185393 2.74548721 -755.524712-4.96638594 2.72971025 -739.617908-5.00084693 2.71348767 -723.444906-5.03522933 2.69682148 -707.007884-5.06952576 2.67971365 -690.309224-5.10372906 2.66216612 -673.351521-5.13783223 2.64418082 -656.137585-5.17182845 2.62575964 -638.670441-5.20571111 2.60690446 -620.953336-5.23947377 2.58761715 -602.98974-5.27311015 2.56789955 -584.78335-5.30661418 2.54775353 -566.338087-5.33997994 2.52718091 -547.6581

-5.3732017 2.50618354 -528.747768-5.40627389 2.48476326 -509.611697-5.43919111 2.46292192 -490.254722-5.47194813 2.44066138 -470.681905-5.50453989 2.4179835 -450.898533-5.53696148 2.39489018 -430.910118-5.56920815 2.3713833 -410.722395-5.60127532 2.34746481 -390.341318-5.63315856 2.32313664 -369.773058-5.66485359 2.29840078 -349.023997-5.69635629 2.27325922 -328.10073-5.72766267 2.24771401 -307.010054

-5.7587689 2.22176724 -285.758967-5.7896713 2.195421 -264.354664

-5.82036632 2.16867747 -242.804529-5.85085055 2.14153885 -221.116131-5.88112071 2.11400739 -199.297215-5.91117368 2.08608539 -177.355701-5.94100645 2.0577752 -155.299674

Page 50: Excel Ing Vehiculo Final

-5.97061614 2.02907925 -133.137375-6 2 -110.877198

-6.02915541 1.97053998 -88.5276799-6.05807986 1.94070179 -66.0974945-6.08677097 1.9104881 -43.5954426-6.11522648 1.87990162 -21.0304453-6.14344422 1.84894518 1.58846518-6.17142216 1.81762163 24.2521532-6.19915837 1.78593393 46.9513891-6.22665103 1.75388511 69.6768573

-6.2538984 1.72147828 92.4191658-6.28089887 1.68871664 115.168855-6.30765092 1.65560345 137.916405-6.33415312 1.62214208 160.65225-6.36040414 1.58833599 183.36678-6.38640274 1.55418871 206.050356-6.41214778 1.51970388 228.693316-6.43763817 1.48488522 251.285986-6.46287295 1.44973656 273.818687-6.48785121 1.41426182 296.281747-6.51257212 1.37846503 318.665506-6.53703494 1.3423503 340.960331-6.56123899 1.30592186 363.156617-6.58518367 1.26918404 385.244804-6.60886844 1.23214127 407.215379-6.63229282 1.19479809 429.058888-6.65545642 1.15715915 450.765943-6.67835888 1.11922922 472.327232

-6.7009999 1.08101315 493.733524-6.72337926 1.04251593 514.97568-6.74549676 1.00374265 536.044658-6.76735228 0.96469853 556.931523-6.78894573 0.92538888 577.627453-6.81027706 0.88581914 598.123744-6.83134627 0.84599487 618.41182-6.85215341 0.80592174 638.48324-6.87269855 0.76560554 658.329699-6.89298181 0.72505218 677.943042-6.91300332 0.6842677 697.315261-6.93276327 0.64325824 716.43851-6.95226184 0.60203008 735.305102-6.97149928 0.56058961 753.907519-6.99047582 0.51894334 772.238415-7.00919173 0.47709792 790.290622-7.02764731 0.4350601 808.057152

Page 51: Excel Ing Vehiculo Final

-7.04584284 0.39283676 825.531204-7.06377864 0.35043492 842.706163-7.08145503 0.30786171 859.57561-7.09887234 0.26512438 876.133321

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-7.3932739 -0.61181164 1134.0693-7.40531215 -0.65609896 1143.012-7.41709518 -0.70035928 1151.55931-7.42862275 -0.74458246 1159.7099-7.43989459 -0.78875828 1167.46267-7.45091033 -0.83287635 1174.81669-7.46166958 -0.87692617 1181.77129-7.47217185 -0.92089714 1188.32597-7.48241658 -0.96477849 1194.48046-7.49240314 -1.00855935 1200.23469-7.50213083 -1.05222872 1205.58878-7.51159885 -1.09577547 1210.54308-7.52080632 -1.13918833 1215.09812-7.52975228 -1.18245592 1219.25464-7.53843565 -1.22556672 1223.01356-7.54685527 -1.26850907 1226.37603-7.55500987 -1.31127118 1229.34336-7.56289807 -1.35384114 1231.91708-7.57051838 -1.39620689 1234.09889-7.57786918 -1.43835623 1235.89071-7.58494875 -1.48027684 1237.29462-7.59175523 -1.52195624 1238.31289

Page 52: Excel Ing Vehiculo Final

-7.59828661 -1.5633818 1238.94799-7.60454077 -1.60454077 1239.20256-7.61051542 -1.64542023 1239.07944-7.61620814 -1.68600713 1238.58164-7.62161633 -1.72628824 1237.71233-7.62673725 -1.7662502 1236.47489-7.63156798 -1.80587946 1234.87285-7.63610542 -1.84516234 1232.90994-7.64034629 -1.88408498 1230.59003-7.64428712 -1.92263332 1227.91718-7.64792425 -1.96079318 1224.89562-7.65125379 -1.99855014 1221.52973-7.65427166 -2.03588965 1217.82407-7.65697355 -2.07279693 1213.78336-7.65935491 -2.10925702 1209.41247-7.66141098 -2.14525477 1204.71644-7.66313671 -2.1807748 1199.70045-7.66452682 -2.21580154 1194.36984-7.66557577 -2.25031918 1188.73011

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Page 53: Excel Ing Vehiculo Final

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Page 54: Excel Ing Vehiculo Final

-6.05807547 -2.05777086 300.827258-6 -2 281.391122

Page 55: Excel Ing Vehiculo Final

x j0 14.4775122 5.27298335 -3.614784456 3.61478446 0 141 14.1163436 5.27899671 -3.608432633 3.27593278 -0.244333690122 13.9978677321892 13.7558564 5.28441824 -3.601157112 2.93661416 -0.488592953835 13.9914715782673 13.3961428 5.28924726 -3.592962575 2.5970016 -0.7327033874012 13.9808134865644 13.0372944 5.29348341 -3.58385361 2.25726719 -0.9765906324178 13.9658967036385 12.6794024 5.29712664 -3.573834711 1.91758201 -1.2201803984672 13.9467257732846 12.3225577 5.30017716 -3.562910288 1.57811605 -1.4633984857471 13.9233065351567 11.9668504 5.30263553 -3.551084667 1.23903816 -1.7061708076721 13.8956461229798 11.6123706 5.30450255 -3.5383621 0.90051593 -1.9484234134409 13.8637529623829 11.2592078 5.30577934 -3.524746766 0.56271563 -2.1900825105632 13.827636768332

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𝜃_2 𝜃_3 𝑑 𝜔_3 𝑑 ̇

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89 -5.73610085 4.00440454 -0.061390819 -14.022411 -13.997867732189 0.24433369012290 -5.73917048 3.97994975 -2.15393E-16 -14 -14 8.572527594E-1691 -5.73610085 3.9555378 0.0613908191 -13.9733245 -13.997867732189 -0.24433369012292 -5.726893 3.93117607 0.1227609577 -13.9424719 -13.991471578267 -0.48859295383593 -5.71155004 3.90687177 0.1840897552 -13.9075308 -13.980813486564 -0.732703387401294 -5.69007712 3.88263196 0.2453565899 -13.8685908 -13.965896703638 -0.976590632417895 -5.66248147 3.85846353 0.3065408986 -13.8257425 -13.946725773284 -1.220180398467296 -5.62877237 3.83437324 0.367622196 -13.7790771 -13.923306535156 -1.463398485747197 -5.58896114 3.81036765 0.4285800936 -13.7286865 -13.895646122979 -1.706170807672198 -5.54306114 3.78645319 0.4893943182 -13.6746631 -13.863752962382 -1.948423413440999 -5.49108774 3.76263613 0.5500447307 -13.6170996 -13.827636768332 -2.1900825105632

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224 29.5465441 2.47274584 2.8940441455 4.01665225 9.725217186426 -10.070757204741225 29.8339047 2.47993538 2.8529750429 4.22221869 9.8994949366117 -9.8994949366117226 30.1171006 2.48748508 2.8107508887 4.42936734 10.070757204741 -9.725217186426227 30.3960164 2.49539769 2.7673728403 4.63807926 10.238951822668 -9.547977040875228 30.6705368 2.50367593 2.7228428233 4.84833156 10.404027556684 -9.367828489024229 30.9405467 2.51232245 2.6771635742 5.06009715 10.565934123119 -9.1848264058671230 31.2059313 2.52133986 2.6303386845 5.27334465 10.724622203666 -8.9990265356116231 31.4665764 2.53073073 2.5823726429 5.48803816 10.880043460398 -8.8104854746977232 31.722368 2.54049755 2.5332708794 5.7041371 11.032150550494 -8.6192606545592233 31.9731929 2.55064272 2.4830398069 5.92159607 11.180897140662 -8.4254103241287234 32.2189386 2.56116858 2.4316868633 6.14036466 11.326237921249 -8.2289935320946235 32.4594932 2.57207736 2.3792205521 6.36038734 11.468128620046 -8.0300701089147236 32.6947459 2.58337121 2.325650482 6.58160325 11.606526015771 -7.8287006485905237 32.9245868 2.59505215 2.2709874052 6.80394613 11.741387951236 -7.6249464902104238 33.1489073 2.60712208 2.2152432531 7.02734414 11.87267334619 -7.4188696992649239 33.3675999 2.61958278 2.1584311711 7.25171977 12.00034220983 -7.2105330487408240 33.5805584 2.63243588 2.1005655502 7.47698972 12.124355652982 -7241 33.7876784 2.64568286 2.0416620567 7.70306483 12.244675899952 -6.7873346834487242 33.9888568 2.65932506 1.9817376583 7.92984995 12.361266300025 -6.5726018790025243 34.1839925 2.67336362 1.9208106475 8.15724395 12.474091338637 -6.3558669963537244 34.3729862 2.6877995 1.8589006615 8.3851396 12.583116648188 -6.1371960550471245 34.5557406 2.7026335 1.7960286984 8.61342361 12.688309018513 -5.9166556643698246 34.7321606 2.71786618 1.7322171288 8.84197655 12.789636406996 -5.6943130030612247 34.9021535 2.7334979 1.6674897041 9.07067293 12.887067948334 -5.4702357988498248 35.0656289 2.74952881 1.6018715595 9.29938118 12.980573963935 -5.2444923078228249 35.222499 2.7659588 1.5353892125 9.52796372 13.070125970961 -5.0171512936342250 35.3726788 2.78278752 1.4680705568 9.75627704 13.155696691003 -4.7882820065594251 35.5160862 2.80001438 1.3999448504 9.9841718 13.23726005839 -4.5579541624002252 35.6526419 2.81763852 1.3310426991 10.211493 13.314791228132 -4.3262379212493253 35.7822699 2.83565879 1.2613960344 10.4380799 13.388266583482 -4.0932038661183254 35.9048974 2.85407377 1.1910380854 10.6637667 13.457663743136 -3.858922981438255 36.020455 2.87288174 1.120003346 10.888382 13.522961568047 -3.6234666314353256 36.1288767 2.89208067 1.0483275362 11.1117498 13.584140167864 -3.3869065383953257 36.2301003 2.91166823 0.9760475576 11.3336892 13.641180906993 -3.1493147608141258 36.3240673 2.93164177 0.9032014438 11.5540149 13.694066410273 -2.9107636714486259 36.4107231 2.9519983 0.8298283058 11.7725374 13.742780568267 -2.6713259352716260 36.4900168 2.97273451 0.7559682709 11.9890635 13.787308542171 -2.431074487337261 36.5619018 2.99384675 0.6816624185 12.2033963 13.827636768332 -2.1900825105632262 36.6263358 3.01533101 0.6069527095 12.415336 13.863752962382 -1.9484234134409263 36.6832804 3.03718294 0.531881912 12.6246799 13.895646122979 -1.7061708076721264 36.7327016 3.05939783 0.4564935231 12.8312231 13.923306535156 -1.4633984857472265 36.7745699 3.08197061 0.3808316861 13.0347586 13.946725773284 -1.2201803984672266 36.8088603 3.10489585 0.3049411048 13.235078 13.965896703638 -0.9765906324178267 36.835552 3.12816775 0.228866955 13.4319719 13.980813486564 -0.7327033874012268 36.8546291 3.15178016 0.1526547932 13.6252303 13.991471578267 -0.488592953835

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269 36.8660799 3.17572654 0.0763504628 13.8146429 13.997867732189 -0.244333690122270 36.8698976 3.2 8.036745E-16 14 14 -2.571758278E-15271 36.8660799 3.22459328 -0.076350463 14.1810926 13.997867732189 0.244333690122272 36.8546291 3.24949875 -0.152654793 14.3577129 13.991471578267 0.488592953835273 36.835552 3.27470843 -0.228866955 14.5296551 13.980813486564 0.7327033874012274 36.8088603 3.30021397 -0.304941105 14.6967154 13.965896703638 0.9765906324178275 36.7745699 3.32600669 -0.380831686 14.858693 13.946725773284 1.2201803984672276 36.7327016 3.35207752 -0.456493523 15.01539 13.923306535156 1.4633984857472277 36.6832804 3.3784171 -0.531881912 15.1666123 13.895646122979 1.7061708076721278 36.6263358 3.40501569 -0.606952709 15.3121699 13.863752962382 1.9484234134409279 36.5619018 3.43186325 -0.681662418 15.4518772 13.827636768332 2.1900825105632280 36.4900168 3.45894941 -0.755968271 15.5855536 13.787308542171 2.431074487337281 36.4107231 3.48626349 -0.829828306 15.7130237 13.742780568267 2.6713259352716282 36.3240673 3.5137945 -0.903201444 15.8341179 13.694066410273 2.9107636714486283 36.2301003 3.54153118 -0.976047558 15.9486726 13.641180906993 3.1493147608141284 36.1288767 3.56946197 -1.048327536 16.0565305 13.584140167864 3.3869065383953285 36.020455 3.59757506 -1.120003346 16.1575411 13.522961568047 3.6234666314353286 35.9048974 3.62585837 -1.191038085 16.2515608 13.457663743136 3.858922981438287 35.7822699 3.65429956 -1.261396034 16.3384533 13.388266583482 4.0932038661183288 35.6526419 3.6828861 -1.331042699 16.4180895 13.314791228132 4.3262379212493289 35.5160862 3.71160522 -1.39994485 16.4903483 13.23726005839 4.5579541624002290 35.3726788 3.74044392 -1.468070557 16.5551163 13.155696691003 4.7882820065594291 35.222499 3.76938905 -1.535389212 16.6122882 13.070125970961 5.0171512936342292 35.0656289 3.79842727 -1.601871559 16.6617667 12.980573963935 5.2444923078228293 34.9021535 3.82754506 -1.667489704 16.703463 12.887067948334 5.4702357988498294 34.7321606 3.85672878 -1.732217129 16.7372963 12.789636406996 5.6943130030612295 34.5557406 3.88596463 -1.796028698 16.7631944 12.688309018513 5.9166556643698296 34.3729862 3.91523871 -1.858900662 16.7810937 12.583116648188 6.1371960550471297 34.1839925 3.94453701 -1.920810647 16.7909387 12.474091338637 6.3558669963537298 33.9888568 3.97384543 -1.981737658 16.7926827 12.361266300025 6.5726018790025299 33.7876784 4.0031498 -2.041662057 16.786287 12.244675899952 6.7873346834487300 33.5805584 4.03243588 -2.10056555 16.7717216 12.124355652982 7301 33.3675999 4.06168939 -2.158431171 16.7489646 12.00034220983 7.2105330487408302 33.1489073 4.09089602 -2.215243253 16.7180026 11.87267334619 7.4188696992649303 32.9245868 4.12004145 -2.270987405 16.6788298 11.741387951236 7.6249464902104304 32.6947459 4.14911134 -2.325650482 16.6314488 11.606526015771 7.8287006485905305 32.4594932 4.17809139 -2.379220552 16.5758699 11.468128620046 8.0300701089146306 32.2189386 4.20696728 -2.431686863 16.5121112 11.326237921249 8.2289935320946307 31.9731929 4.23572478 -2.483039807 16.4401982 11.180897140662 8.4254103241287308 31.722368 4.26434968 -2.533270879 16.360164 11.032150550494 8.6192606545592309 31.4665764 4.29282783 -2.582372643 16.2720488 10.880043460398 8.8104854746977310 31.2059313 4.32114517 -2.630338684 16.1758998 10.724622203666 8.9990265356115311 30.9405467 4.34928773 -2.677163574 16.0717711 10.565934123119 9.1848264058671312 30.6705368 4.37724163 -2.722842823 15.9597236 10.404027556684 9.367828489024313 30.3960164 4.4049931 -2.76737284 15.8398244 10.238951822668 9.547977040875

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314 30.1171006 4.43252852 -2.810750889 15.7121471 10.070757204741 9.725217186426315 29.8339047 4.45983436 -2.852975043 15.5767712 9.8994949366117 9.8994949366117316 29.5465441 4.48689728 -2.894044145 15.4337821 9.725217186426 10.070757204741317 29.2551344 4.51370405 -2.933957764 15.2832709 9.547977040875 10.238951822668318 28.9597911 4.54024164 -2.972716148 15.1253341 9.367828489024 10.404027556684319 28.6606297 4.56649717 -3.010320187 14.9600734 9.1848264058671 10.565934123119320 28.3577655 4.59245795 -3.046771371 14.7875955 8.9990265356116 10.724622203666321 28.0513137 4.61811148 -3.082071749 14.6080121 8.8104854746977 10.880043460398322 27.7413894 4.64344546 -3.116223885 14.4214391 8.6192606545592 11.032150550494323 27.4281071 4.6684478 -3.149230829 14.2279973 8.4254103241287 11.180897140662324 27.1115813 4.69310662 -3.18109607 14.0278115 8.2289935320946 11.326237921249325 26.7919259 4.71741025 -3.211823504 13.8210104 8.0300701089147 11.468128620046326 26.4692544 4.74134727 -3.241417401 13.6077267 7.8287006485905 11.606526015771327 26.14368 4.76490649 -3.269882365 13.3880967 7.6249464902104 11.741387951236328 25.8153154 4.78807694 -3.297223308 13.16226 7.4188696992649 11.87267334619329 25.4842726 4.81084791 -3.323445415 12.9303598 7.2105330487408 12.00034220983330 25.1506634 4.83320896 -3.348554113 12.692542 7 12.124355652982331 24.8145987 4.85514989 -3.372555046 12.4489557 6.7873346834487 12.244675899952332 24.4761891 4.87666075 -3.395454045 12.1997527 6.5726018790025 12.361266300025333 24.1355445 4.89773188 -3.417257105 11.9450873 6.3558669963537 12.474091338637334 23.792774 4.91835388 -3.437970357 11.6851162 6.1371960550471 12.583116648188335 23.4479865 4.93851764 -3.457600046 11.4199986 5.9166556643698 12.688309018513336 23.1012899 4.9582143 -3.476152511 11.1498956 5.6943130030612 12.789636406996337 22.7527917 4.97743531 -3.493634162 10.8749702 5.4702357988498 12.887067948334338 22.4025986 4.99617239 -3.510051464 10.5953876 5.2444923078228 12.980573963935339 22.0508167 5.01441758 -3.525410914 10.3113142 5.0171512936342 13.070125970961340 21.6975514 5.03216316 -3.539719029 10.0229183 4.7882820065594 13.155696691003341 21.3429077 5.04940174 -3.552982328 9.73036955 4.5579541624002 13.23726005839342 20.9869896 5.06612624 -3.565207319 9.43383875 4.3262379212493 13.314791228132343 20.6299006 5.08232984 -3.576400485 9.13349798 4.0932038661183 13.388266583482344 20.2717437 5.09800604 -3.586568271 8.82952032 3.858922981438 13.457663743136345 19.9126209 5.11314866 -3.595717074 8.52207979 3.6234666314353 13.522961568047346 19.552634 5.1277518 -3.603853235 8.21135118 3.3869065383954 13.584140167864347 19.1918838 5.14180987 -3.610983026 7.89751 3.1493147608141 13.641180906993348 18.8304707 5.1553176 -3.617112644 7.58073232 2.9107636714486 13.694066410273349 18.4684944 5.16827002 -3.622248206 7.2611947 2.6713259352716 13.742780568267350 18.106054 5.18066245 -3.626395738 6.93907404 2.431074487337 13.787308542171351 17.743248 5.19249055 -3.629561176 6.61454753 2.1900825105632 13.827636768332352 17.3801743 5.20375028 -3.631750356 6.28779251 1.9484234134409 13.863752962382353 17.0169303 5.2144379 -3.632969012 5.95898639 1.7061708076721 13.895646122979354 16.6536127 5.22454998 -3.633222777 5.62830653 1.4633984857472 13.923306535156355 16.2903177 5.23408341 -3.632517173 5.2959302 1.2201803984672 13.946725773284356 15.9271411 5.24303538 -3.630857619 4.96203441 0.9765906324178 13.965896703638357 15.5641778 5.25140339 -3.628249423 4.62679588 0.7327033874012 13.980813486564358 15.2015226 5.25918526 -3.624697787 4.29039092 0.488592953835 13.991471578267

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14 -5.7085649316737 10.070757204741 11.576176581928 -4.0166522514 -5.6772762421031 9.8994949366117 11.411900171713 -4.2222186914 -5.6413898649797 9.725217186426 11.243003554738 -4.4293673414 -5.6008725590122 9.547977040875 11.069491361186 -4.6380792614 -5.5556959998143 9.367828489024 10.891371293006 -4.8483315614 -5.5058369704449 9.1848264058671 10.708654296924 -5.0600971514 -5.4512775503023 8.9990265356116 10.521354737821 -5.2733446514 -5.3920053015444 8.8104854746977 10.329490571744 -5.4880381614 -5.3280134521455 8.6192606545592 10.133083517739 -5.704137114 -5.2593010746469 8.4254103241287 9.9321592276663 -5.9215960714 -5.1858732596059 8.2289935320946 9.7267474530776 -6.1403646614 -5.1077412826942 8.0300701089147 9.5168822082142 -6.3603873414 -5.0249227643543 7.8287006485905 9.3026019281149 -6.5816032514 -4.9374418208797 7.6249464902104 9.0839496207951 -6.8039461314 -4.8453292057493 7.4188696992649 8.8609730124156 -7.0273441414 -4.7486224400185 7.2105330487408 8.6337246843312 -7.2517197714 -4.6473659305503 7 8.4022622008861 -7.4769897214 -4.5416110748554 6.7873346834487 8.1666482268061 -7.7030648314 -4.4314163513092 6.5726018790025 7.9269506330314 -7.9298499514 -4.3168473935234 6.3558669963537 7.6832425898385 -8.1572439514 -4.1979770476662 6.1371960550471 7.4356026461087 -8.385139614 -4.0748854115587 5.9166556643698 7.18411479363 -8.6134236114 -3.9476598544181 5.6943130030612 6.9288685153506 -8.8419765514 -3.8163950161758 5.4702357988498 6.6699588165528 -9.0706729314 -3.6811927853678 5.2444923078228 6.4074862379763 -9.2993811814 -3.5421622546783 5.0171512936342 6.1415568499919 -9.5279637214 -3.3994196533174 4.7882820065594 5.8722822270137 -9.7562770414 -3.2530882555192 4.5579541624002 5.5997794014352 -9.984171814 -3.1032982645758 4.3262379212493 5.3241707964879 -10.21149314 -2.9501866719534 4.0932038661183 5.0455841375382 -10.438079914 -2.7938970911868 3.858922981438 4.7641523414782 -10.663766714 -2.6345795664062 3.6234666314353 4.4800133840035 -10.88838214 -2.4723903555136 3.3869065383953 4.193310144726 -11.111749814 -2.3074916882036 3.1493147608141 3.9041902302283 -11.333689214 -2.1400514992028 2.9107636714486 3.612805775331 -11.554014914 -1.9702431372835 2.6713259352716 3.3193132230128 -11.772537414 -1.7982450507965 2.431074487337 3.0238730835958 -11.989063514 -1.6242404506512 2.1900825105632 2.7266496739784 -12.203396314 -1.4484169518572 1.9484234134409 2.4278108378686 -12.41533614 -1.2709661949162 1.7061708076721 2.1275276481334 -12.624679914 -1.0920834485289 1.4633984857472 1.8259740925429 -12.831223114 -0.9119671952412 1.2201803984672 1.5233267443329 -13.034758614 -0.7308187018057 0.9765906324178 1.2197644191544 -13.23507814 -0.5488415761705 0.7327033874012 0.9154678201021 -13.431971914 -0.3662413131316 0.488592953835 0.6106191726285 -13.6252303

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14 3.7086616750688 -13.997867732189 -14.480831207772 -3.9529953714 3.6147844564603 -14 -14.459137825841 -3.61478446

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-25.187389 146.440998 -110.778329 -115.295398 -119 -23.8232182 -100.732195 -124.394592-24.7334255 147.731285 -108.894444 -113.844192 -119 -24.2514939 -98.9582634 -123.433857

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2.64468994 193.004493 -2.68767059 -23.4401385 -119 -53.090434 6.73904103 -41.50438453.37379883 193.980781 -1.886E-14 -21 -119 -53.9807812 9.45188221 -38.77147144.10425032 194.958679 2.68767059 -18.5534647 -119 -54.879721 12.1608012 -36.00661684.83578081 195.937898 5.37452249 -16.1012778 -119 -55.7869097 14.8645002 -33.21061295.56812341 196.918093 8.05973726 -13.6441864 -119 -56.7019802 17.5616802 -30.38428196.30100801 197.898859 10.742497 -11.1829387 -119 -57.624541 20.2510414 -27.52847627.03416131 198.879729 13.4219844 -8.71828468 -119 -58.5541768 22.9312853 -24.64407887.76730691 199.86018 16.0973833 -6.25097495 -119 -59.4904479 25.6011156 -21.73200338.50016533 200.839625 18.7678789 -3.78176111 -119 -60.4328905 28.2592397 -18.79319419.23245412 201.817419 21.4326575 -1.31139531 -119 -61.3810169 30.9043703 -15.82862619.96388791 202.792856 24.0909076 1.15936995 -119 -62.3343151 33.5352266 -12.839305710.6941785 203.76517 26.7418194 3.62978206 -119 -63.2922499 36.1505357 -9.826270111.4230351 204.733533 29.3845853 6.0990885 -119 -64.2542623 38.7490345 -6.7905879412.1501641 205.69706 32.0184004 8.5665371 -119 -65.2197705 41.3294707 -3.7333592112.8752696 206.654807 34.6424624 11.0313762 -119 -66.1881699 43.8906048 -0.6557154113.5980532 207.605769 37.2559719 13.4928551 -119 -67.1588343 46.4312112 2.4411803514.3182146 208.548889 39.8581329 15.950224 -119 -68.1311157 48.9500801 5.5561333215.0354512 209.483048 42.4481528 18.4027342 -119 -69.1043458 51.4460192 8.6879170515.7494588 210.407077 45.0252425 20.8496388 -119 -70.0778364 53.9178549 11.835273416.4599313 211.319751 47.5886171 23.2901924 -119 -71.0508804 56.3644342 14.996912417.1665616 212.219793 50.1374958 25.7236515 -119 -72.0227528 58.7846267 18.171512717.8690411 213.10588 52.6711021 28.149275 -119 -72.9927118 61.1773255 21.357721318.5670605 213.976635 55.1886642 30.566324 -119 -73.9600004 63.5414497 24.554153719.2603099 214.830642 57.6894154 32.9740621 -119 -74.9238472 65.8759455 27.759394419.9484789 215.666436 60.1725938 35.3717561 -119 -75.883468 68.1797884 30.971996920.6312573 216.482515 62.637443 37.7586754 -119 -76.8380677 70.4519845 34.190484221.3083353 217.27734 65.0832123 40.1340931 -119 -77.7868414 72.6915725 37.41334921.9794037 218.049334 67.5091566 42.4972856 -119 -78.7289768 74.8976255 40.639054322.6441546 218.796892 69.914537 44.847533 -119 -79.6636554 77.0692524 43.86603423.3022815 219.51838 72.2986207 47.1841193 -119 -80.590055 79.2056 47.092693223.9534799 220.212139 74.6606815 49.506333 -119 -81.5073519 81.3058544 50.317409424.5974479 220.876492 77 51.8134665 -119 -82.4147224 83.3692429 53.538532925.2338864 221.509745 79.3158635 54.1048172 -119 -83.3113458 85.3950356 56.754387725.8624998 222.110192 81.6075667 56.379687 -119 -84.1964066 87.3825471 59.963272826.4829964 222.67612 83.8744114 58.637383 -119 -85.0690969 89.3311378 63.163463127.0950894 223.205814 86.1157071 60.8772175 -119 -85.9286191 91.240216 66.353210427.6984965 223.697561 88.3307712 63.0985082 -119 -86.7741884 93.1092389 69.53074528.2929415 224.149658 90.5189289 65.3005784 -119 -87.6050357 94.9377144 72.694277328.8781545 224.560412 92.6795136 67.4827575 -119 -88.4204105 96.7252022 75.841998529.4538721 224.928149 94.8118672 69.6443807 -119 -89.2195833 98.4713152 78.9720833

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32.6950704 226.14119 106.977389 82.1460361 -119 -93.6369524 108.064446 97.278315533.1976654 226.163651 108.894444 84.145707 -119 -94.3046894 109.514801 100.232795

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Vector B-80.5970421

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z b0 4 0 0 #DIV/0! #DIV/0! #DIV/0! #DIV/0!1 4.00045689 0.060459211 0.49992386 89.1340515 88.6341277 178.634128 -10.7698412 4.0018271 0.120913819 0.99939114 88.2685644 87.2691732 177.269173 -10.75886693 4.00410928 0.181359218 1.49794665 87.4039985 85.9060518 175.906052 -10.74061274 4.00730119 0.241790806 1.99513796 86.5408109 84.545673 174.545673 -10.71513235 4.01139966 0.30220398 2.49051679 85.6794549 83.1889381 173.188938 -10.68250056 4.01640069 0.362594141 2.98364027 84.8203778 81.8367375 171.836738 -10.64281257 4.02229939 0.422956689 3.47407229 83.9640207 80.4899484 170.489948 -10.59618318 4.02909002 0.483287027 3.96138472 83.1108163 79.1494316 169.149432 -10.54274619 4.03676601 0.54358056 4.44515854 82.2611885 77.8160299 167.81603 -10.4826533

10 4.04532 0.603832698 4.92498504 81.4155506 76.4905656 166.490566 -10.41607311 4.05474384 0.664038852 5.40046679 80.574305 75.1738383 165.173838 -10.343189512 4.06502861 0.724194437 5.87121862 79.7378416 73.866623 163.866623 -10.264201413 4.07616467 0.784294871 6.33686853 78.9065371 72.5696685 162.569669 -10.179320214 4.0881417 0.844335579 6.79705844 78.0807543 71.2836959 161.283696 -10.088769415 4.10094869 0.904311987 7.25144492 77.2608416 70.0093967 160.009397 -9.992782616 4.11457401 0.964219528 7.69969979 76.4471319 68.7474321 158.747432 -9.8916023917 4.12900543 1.02405364 8.14151065 75.6399424 67.4984317 157.498432 -9.7854787218 4.14423016 1.083809766 8.5765813 74.8395741 66.2629928 156.262993 -9.6746675519 4.16023487 1.143483356 9.00463209 74.0463116 65.0416795 155.041679 -9.5594294720 4.17700576 1.203069865 9.42540014 73.2604225 63.8350223 153.835022 -9.4400282721 4.19452855 1.262564756 9.83863952 72.4821576 62.6435181 152.643518 -9.3167296522 4.21278856 1.321963498 10.2441213 71.7117508 61.4676294 151.467629 -9.1897999523 4.23177073 1.381261567 10.6416337 70.9494187 60.307785 150.307785 -9.0595049424 4.25145963 1.440454448 11.0309817 70.1953612 59.1643795 149.16438 -8.9261086525 4.27183955 1.499537632 11.4119871 69.4497614 58.0377743 148.037774 -8.7898723826 4.29289447 1.558506621 11.7844885 68.7127858 56.9282973 146.928297 -8.6510536727 4.31460814 1.617356924 12.1483405 67.9845845 55.836244 145.836244 -8.5099054428 4.33696412 1.676084059 12.5034139 67.2652918 54.7618779 144.761878 -8.3666751329 4.35994576 1.734683553 12.849595 66.5550263 53.7054312 143.705431 -8.2216040730 4.38353628 1.793150944 13.1867854 65.8538915 52.6671061 142.667106 -8.0749267531 4.40771877 1.85148178 13.5149013 65.1619763 51.647075 141.647075 -7.9268703632 4.43247625 1.909671619 13.8338731 64.4793551 50.645482 140.645482 -7.7776542433 4.45779165 1.967716029 14.1436451 63.8060889 49.6624438 139.662444 -7.6274895634 4.48364787 2.025610589 14.4441746 63.1422253 48.6980507 138.698051 -7.4765789835 4.51002782 2.083350891 14.7354316 62.4877995 47.7523679 137.752368 -7.3251164236 4.53691438 2.140932539 15.0173981 61.8428346 46.8254366 136.825437 -7.173286937 4.5642905 2.198351145 15.2900676 61.2073423 45.9172747 135.917275 -7.0212664138 4.59213914 2.255602339 15.5534445 60.5813233 45.0278789 135.027879 -6.8692218739 4.62044337 2.31268176 15.8075434 59.9647683 44.1572249 134.157225 -6.7173111740 4.64918631 2.369585062 16.0523887 59.357658 43.3052692 133.305269 -6.5656831841 4.67835121 2.42630791 16.288014 58.7599641 42.4719502 132.47195 -6.4144778642 4.70792143 2.482845986 16.5144612 58.1716501 41.6571888 131.657189 -6.2638264443 4.73788045 2.539194983 16.7317805 57.5926709 40.8608904 130.86089 -6.11385151

𝜃_2 𝛽 𝛼 𝜃_3 𝜃_4 𝜔_3

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44 4.76821191 2.595350611 16.9400294 57.0229746 40.0829452 130.082945 -5.964667345 4.79889959 2.651308592 17.1392722 56.462502 39.3232298 129.32323 -5.8163798646 4.82992744 2.707064667 17.3295799 55.9111877 38.5816078 128.581608 -5.6690873147 4.8612796 2.762614587 17.5110291 55.3689605 37.8579313 127.857931 -5.5228801448 4.89294037 2.817954124 17.683702 54.8357436 37.1520416 127.152042 -5.3778414549 4.92489424 2.873079063 17.8476856 54.3114555 36.4637699 126.46377 -5.2340472550 4.95712592 2.927985206 18.0030715 53.7960103 35.7929387 125.792939 -5.0915667851 4.98962029 2.982668372 18.1499553 53.2893177 35.1393625 125.139362 -4.9504627652 5.02236245 3.037124395 18.2884362 52.7912843 34.5028482 124.502848 -4.8107917853 5.05533772 3.09134913 18.4186167 52.3018132 33.8831964 123.883196 -4.6726045154 5.08853161 3.145338447 18.5406024 51.8208045 33.2802021 123.280202 -4.5359460755 5.12192986 3.199088234 18.654501 51.3481561 32.6936551 122.693655 -4.4008562956 5.15551843 3.252594398 18.7604228 50.8837636 32.1233407 122.123341 -4.2673700757 5.18928349 3.305852864 18.8584799 50.4275207 31.5690408 121.569041 -4.1355175758 5.22321143 3.358859577 18.9487858 49.9793196 31.0305337 121.030534 -4.005324659 5.25728886 3.4116105 19.0314556 49.5390512 30.5075955 120.507596 -3.8768128160 5.29150262 3.464101615 19.1066054 49.1066054 30 120 -3.7561 5.32583976 3.516328926 19.1743519 48.6818712 29.5075194 119.507519 -3.6249003962 5.36028754 3.568288454 19.2348126 48.2647373 29.0299247 119.029925 -3.5015248363 5.39483345 3.619976244 19.2881055 47.8550919 28.5669864 118.566986 -3.3798810664 5.42946521 3.671388358 19.3343486 47.4528229 28.1184743 118.118474 -3.2599739465 5.46417073 3.722520882 19.37366 47.0578184 27.6841585 117.684158 -3.1418056666 5.49893813 3.773369922 19.4061575 46.6699668 27.2638093 117.263809 -3.0253759867 5.53375577 3.823931605 19.4319589 46.2891567 26.8571977 116.857198 -2.9106823568 5.56861219 3.87420208 19.4511814 45.9152771 26.4640957 116.464096 -2.7977201869 5.60349616 3.92417752 19.4639415 45.5482178 26.0842764 116.084276 -2.6864829970 5.63839663 3.973854119 19.4703551 45.1878694 25.7175143 115.717514 -2.5769625771 5.67330277 4.023228094 19.4705375 44.8341231 25.3635856 115.363586 -2.4691491372 5.70820393 4.072295684 19.4646029 44.4868713 25.0222684 115.022268 -2.3630314773 5.74308968 4.121053153 19.4526645 44.1460072 24.6933427 114.693343 -2.2585971174 5.77794976 4.169496787 19.4348346 43.8114253 24.3765907 114.376591 -2.1558324475 5.81277412 4.217622899 19.4112242 43.4830212 24.071797 114.071797 -2.0547228176 5.84755286 4.265427822 19.3819432 43.1606918 23.7787486 113.778749 -1.9552526677 5.88227632 4.312907916 19.3471003 42.8443352 23.4972349 113.497235 -1.8574056578 5.91693497 4.360059566 19.3068028 42.5338511 23.2270482 113.227048 -1.7611647179 5.95151948 4.40687918 19.2611568 42.2291403 22.9679834 112.967983 -1.6665122180 5.98602069 4.453363194 19.210267 41.9301052 22.7198382 112.719838 -1.5734299581 6.02042962 4.499508066 19.1542365 41.6366497 22.4824132 112.482413 -1.4818993282 6.05473745 4.545310284 19.0931671 41.3486791 22.255512 112.255512 -1.3919013483 6.08893552 4.590766358 19.0271593 41.0661002 22.0389409 112.038941 -1.3034167584 6.12301534 4.635872828 18.956312 40.7888216 21.8325096 111.83251 -1.2164260285 6.15696859 4.680626259 18.8807225 40.5167531 21.6360305 111.636031 -1.1309094786 6.19078708 4.725023241 18.8004869 40.2498062 21.4493193 111.449319 -1.0468473187 6.22446279 4.769060395 18.7156995 39.987894 21.2721946 111.272195 -0.9642196688 6.25798786 4.812734366 18.6264533 39.7309313 21.104478 111.104478 -0.88300662

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89 6.29135456 4.856041829 18.5328397 39.4788342 20.9459944 110.945994 -0.803188390 6.32455532 4.898979486 18.4349488 39.2315205 20.7965717 110.796572 -0.7247448791 6.3575827 4.941544066 18.332869 38.9889096 20.6560406 110.656041 -0.6476565892 6.3904294 4.983732328 18.2266872 38.7509225 20.5242353 110.524235 -0.5719037993 6.42308827 5.02554106 18.1164891 38.5174816 20.4009925 110.400993 -0.4974670194 6.45555229 5.066967078 18.0023586 38.288511 20.2861525 110.286152 -0.4243269395 6.48781456 5.108007226 17.8843784 38.0639363 20.179558 110.179558 -0.3524644196 6.51986834 5.14865838 17.7626296 37.8436846 20.081055 110.081055 -0.2818605397 6.55170697 5.188917444 17.6371921 37.6276845 19.9904924 109.990492 -0.2124965998 6.58332396 5.228781352 17.5081442 37.415866 19.9077219 109.907722 -0.1443541599 6.61471293 5.268247067 17.3755628 37.2081609 19.832598 109.832598 -0.07741501

100 6.64586761 5.307311585 17.2395237 37.004502 19.7649783 109.764978 -0.01166125101 6.67678185 5.345971931 17.1001011 36.8048239 19.7047228 109.704723 0.05292479102 6.70744963 5.384225161 16.9573679 36.6090626 19.6516947 109.651695 0.11636047103 6.73786504 5.42206836 16.8113958 36.4171552 19.6057594 109.605759 0.17866286104 6.76802227 5.459498649 16.6622552 36.2290406 19.5667854 109.566785 0.23984874105 6.79791564 5.496513175 16.5100152 36.0446589 19.5346437 109.534644 0.29993456106 6.82753957 5.533109121 16.3547436 35.8639513 19.5092077 109.509208 0.35893649107 6.85688857 5.569283698 16.1965071 35.6868607 19.4903536 109.490354 0.41687038108 6.88595729 5.605034154 16.0353713 35.5133312 19.4779599 109.47796 0.47375178109 6.91474047 5.640357764 15.8714002 35.343308 19.4719077 109.471908 0.52959592110 6.94323292 5.675251839 15.7046573 35.1767378 19.4720805 109.472081 0.58441772111 6.97142961 5.709713722 15.5352043 35.0135684 19.4783641 109.478364 0.63823179112 6.99932556 5.743740788 15.3631023 34.853749 19.4906466 109.490647 0.69105243113 7.0269159 5.777330446 15.1884112 34.6972297 19.5088185 109.508819 0.74289365114 7.05419587 5.810480138 15.0111896 34.5439621 19.5327725 109.532772 0.79376912115 7.0811608 5.843187339 14.8314954 34.3938988 19.5624034 109.562403 0.84369225116 7.1078061 5.875449559 14.6493852 34.2469935 19.5976083 109.597608 0.89267613117 7.13412728 5.907264341 14.4649149 34.1032012 19.6382863 109.638286 0.94073357118 7.16011994 5.938629262 14.2781393 33.9624779 19.6843386 109.684339 0.98787706119 7.18577977 5.969541933 14.0891121 33.8247806 19.7356686 109.735669 1.03411886120 7.21110255 6 13.8978862 33.6900675 19.7921813 109.792181 1.0794709121 7.23608415 6.030001144 13.7045139 33.5582978 19.853784 109.853784 1.12394485122 7.26072051 6.05954308 13.509046 33.4294318 19.9203857 109.920386 1.16755213123 7.28500768 6.088623559 13.3115331 33.3034305 19.9918975 109.991897 1.21030387124 7.30894176 6.117240365 13.1120244 33.1802564 20.068232 110.068232 1.25221095125 7.33251897 6.14539132 12.9105687 33.0598725 20.1493038 110.149304 1.29328401126 7.35573559 6.173074279 12.7072137 32.942243 20.2350293 110.235029 1.33353342127 7.37858798 6.200287135 12.5020066 32.827333 20.3253264 110.325326 1.37296933128 7.40107258 6.227027815 12.2949937 32.7151086 20.4201149 110.420115 1.41160164129 7.42318593 6.253294283 12.0862205 32.6055366 20.5193161 110.519316 1.44944003130 7.44492462 6.279084538 11.8757319 32.4985849 20.622853 110.622853 1.48649394131 7.46628533 6.304396616 11.6635721 32.3942221 20.73065 110.73065 1.5227726132 7.48726482 6.329228591 11.4497845 32.2924177 20.8426332 110.842633 1.55828505133 7.50785992 6.35357857 11.234412 32.1931422 20.9587302 110.95873 1.59304009

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134 7.52806754 6.377444699 11.0174968 32.0963668 21.0788699 111.07887 1.62704635135 7.54788465 6.400825162 10.7990805 32.0020634 21.2029829 111.202983 1.66031223136 7.56730832 6.423718176 10.579204 31.910205 21.331001 111.331001 1.69284598137 7.58633567 6.446122 10.3579077 31.820765 21.4628574 111.462857 1.72465564138 7.60496389 6.468034927 10.1352313 31.733718 21.5984867 111.598487 1.7557491139 7.62319027 6.489455287 9.91121427 31.649039 21.7378247 111.737825 1.78613404140 7.64101215 6.510381451 9.68589518 31.566704 21.8808088 111.880809 1.81581802141 7.65842693 6.530811824 9.45931227 31.4866895 22.0273772 112.027377 1.8448084142 7.67543211 6.55074485 9.23150323 31.4089729 22.1774697 112.17747 1.87311242143 7.69202524 6.570179011 9.00250527 31.3335323 22.3310271 112.331027 1.90073715144 7.70820393 6.589112828 8.77235512 31.2603465 22.4879914 112.487991 1.92768952145 7.72396589 6.607544859 8.54108906 31.1893949 22.6483058 112.648306 1.95397632146 7.73930887 6.625473699 8.30874293 31.1206576 22.8119147 112.811915 1.97960422147 7.75423069 6.642897984 8.07535213 31.0541154 22.9787633 112.978763 2.00457976148 7.76872926 6.659816387 7.84095167 30.9897499 23.1487982 113.148798 2.02890933149 7.78280253 6.676227619 7.60557615 30.9275431 23.321967 113.321967 2.05259925150 7.79644853 6.69213043 7.36925979 30.8674778 23.498218 113.498218 2.07565567151 7.80966536 6.707523609 7.13203643 30.8095374 23.6775009 113.677501 2.09808469152 7.82245116 6.722405985 6.89393956 30.7537058 23.8597662 113.859766 2.11989226153 7.83480418 6.736776424 6.65500235 30.6999678 24.0449654 114.044965 2.14108426154 7.8467227 6.75063383 6.4152576 30.6483085 24.2330509 114.233051 2.16166646155 7.85820507 6.76397715 6.17473784 30.5987139 24.423976 114.423976 2.18164454156 7.86924971 6.776805367 5.93347528 30.5511702 24.617695 114.617695 2.20102411157 7.87985511 6.789117504 5.69150182 30.5056647 24.8141628 114.814163 2.21981069158 7.8900198 6.800912623 5.44884911 30.4621847 25.0133356 115.013336 2.2380097159 7.89974242 6.812189827 5.20554854 30.4207187 25.2151701 115.21517 2.25562652160 7.90902161 6.822948256 4.96163123 30.3812551 25.4196239 115.419624 2.27266644161 7.91785614 6.833187091 4.71712807 30.3437835 25.6266554 115.626655 2.28913469162 7.92624478 6.842905552 4.47206974 30.3082936 25.8362238 115.836224 2.30503643163 7.93418642 6.852102899 4.22648667 30.2747758 26.0482891 116.048289 2.32037679164 7.94167997 6.860778433 3.98040913 30.2432211 26.262812 116.262812 2.3351608165 7.94872442 6.868931491 3.73386716 30.213621 26.4797538 116.479754 2.34939346166 7.95531881 6.876561454 3.48689066 30.1859675 26.6990768 116.699077 2.36307974167 7.96146227 6.88366774 3.23950933 30.1602532 26.9207438 116.920744 2.37622454168 7.96715397 6.890249808 2.99175274 30.1364711 27.1447184 117.144718 2.38883272169 7.97239314 6.896307157 2.74365029 30.114615 27.3709647 117.370965 2.4009091170 7.97717908 6.901839325 2.49523128 30.0946789 27.5994476 117.599448 2.41245848171 7.98151115 6.906845892 2.24652486 30.0766575 27.8301327 117.830133 2.42348561172 7.98538876 6.911326475 1.99756009 30.060546 28.0629859 118.062986 2.43399521173 7.9888114 6.915280735 1.74836592 30.0463401 28.2979742 118.297974 2.44399198174 7.99177862 6.918708369 1.49897121 30.0340359 28.5350647 118.535065 2.4534806175 7.99429001 6.921609116 1.24940476 30.0236303 28.7742255 118.774226 2.4624657176 7.99634524 6.923982756 0.99969529 30.0151204 29.0154251 119.015425 2.47095193177 7.99794404 6.925829108 0.74987147 30.0085039 29.2586324 119.258632 2.47894388178 7.99908619 6.927148031 0.49996192 30.0037791 29.5038172 119.503817 2.48644616

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179 7.99977154 6.927939426 0.24999524 30.0009447 29.7509495 119.750949 2.49346334180 8 6.92820323 0 30 30 120 2.5181 7.99977154 6.927939426 0.24999524 30.0009447 29.7509495 119.750949 2.51846478182 7.99908619 6.927148031 0.49996192 30.0037791 29.5038172 119.503817 2.53606935183 7.99794404 6.925829108 0.74987147 30.0085039 29.2586324 119.258632 2.55281039184 7.99634524 6.923982756 0.99969529 30.0151204 29.0154251 119.015425 2.56868479185 7.99429001 6.921609116 1.24940476 30.0236303 28.7742255 118.774226 2.58368965186 7.99177862 6.918708369 1.49897121 30.0340359 28.5350647 118.535065 2.59782223187 7.9888114 6.915280735 1.74836592 30.0463401 28.2979742 118.297974 2.61107999188 7.98538876 6.911326475 1.99756009 30.060546 28.0629859 118.062986 2.6234606189 7.98151115 6.906845892 2.24652486 30.0766575 27.8301327 117.830133 2.6349619190 7.97717908 6.901839325 2.49523128 30.0946789 27.5994476 117.599448 2.64558193191 7.97239314 6.896307157 2.74365029 30.114615 27.3709647 117.370965 2.65531888192 7.96715397 6.890249808 2.99175274 30.1364711 27.1447184 117.144718 2.66417118193 7.96146227 6.88366774 3.23950933 30.1602532 26.9207438 116.920744 2.6721374194 7.95531881 6.876561454 3.48689066 30.1859675 26.6990768 116.699077 2.6792163195 7.94872442 6.868931491 3.73386716 30.213621 26.4797538 116.479754 2.68540682196 7.94167997 6.860778433 3.98040913 30.2432211 26.262812 116.262812 2.69070809197 7.93418642 6.852102899 4.22648667 30.2747758 26.0482891 116.048289 2.6951194198 7.92624478 6.842905552 4.47206974 30.3082936 25.8362238 115.836224 2.69864021199 7.91785614 6.833187091 4.71712807 30.3437835 25.6266554 115.626655 2.70127015200 7.90902161 6.822948256 4.96163123 30.3812551 25.4196239 115.419624 2.70300904201 7.89974242 6.812189827 5.20554854 30.4207187 25.2151701 115.21517 2.70385683202 7.8900198 6.800912623 5.44884911 30.4621847 25.0133356 115.013336 2.70381367203 7.87985511 6.789117504 5.69150182 30.5056647 24.8141628 114.814163 2.70287983204 7.86924971 6.776805367 5.93347528 30.5511702 24.617695 114.617695 2.70105576205 7.85820507 6.76397715 6.17473784 30.5987139 24.423976 114.423976 2.69834207206 7.8467227 6.75063383 6.4152576 30.6483085 24.2330509 114.233051 2.69473952207 7.83480418 6.736776424 6.65500235 30.6999678 24.0449654 114.044965 2.69024899208 7.82245116 6.722405985 6.89393956 30.7537058 23.8597662 113.859766 2.68487155209 7.80966536 6.707523609 7.13203643 30.8095374 23.6775009 113.677501 2.67860836210 7.79644853 6.69213043 7.36925979 30.8674778 23.498218 113.498218 2.67146078211 7.78280253 6.676227619 7.60557615 30.9275431 23.321967 113.321967 2.66343024212 7.76872926 6.659816387 7.84095167 30.9897499 23.1487982 113.148798 2.65451836213 7.75423069 6.642897984 8.07535213 31.0541154 22.9787633 112.978763 2.64472684214 7.73930887 6.625473699 8.30874293 31.1206576 22.8119147 112.811915 2.63405753215 7.72396589 6.607544859 8.54108906 31.1893949 22.6483058 112.648306 2.62251241216 7.70820393 6.589112828 8.77235512 31.2603465 22.4879914 112.487991 2.61009354217 7.69202524 6.570179011 9.00250527 31.3335323 22.3310271 112.331027 2.59680314218 7.67543211 6.55074485 9.23150323 31.4089729 22.1774697 112.17747 2.58264349219 7.65842693 6.530811824 9.45931227 31.4866895 22.0273772 112.027377 2.567617220 7.64101215 6.510381451 9.68589518 31.566704 21.8808088 111.880809 2.55172619221 7.62319027 6.489455287 9.91121427 31.649039 21.7378247 111.737825 2.53497366222 7.60496389 6.468034927 10.1352313 31.733718 21.5984867 111.598487 2.51736209223 7.58633567 6.446122 10.3579077 31.820765 21.4628574 111.462857 2.49889427

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224 7.56730832 6.423718176 10.579204 31.910205 21.331001 111.331001 2.47957307225 7.54788465 6.400825162 10.7990805 32.0020634 21.2029829 111.202983 2.45940141226 7.52806754 6.377444699 11.0174968 32.0963668 21.0788699 111.07887 2.43838232227 7.50785992 6.35357857 11.234412 32.1931422 20.9587302 110.95873 2.41651888228 7.48726482 6.329228591 11.4497845 32.2924177 20.8426332 110.842633 2.39381422229 7.46628533 6.304396616 11.6635721 32.3942221 20.73065 110.73065 2.37027156230 7.44492462 6.279084538 11.8757319 32.4985849 20.622853 110.622853 2.34589414231 7.42318593 6.253294283 12.0862205 32.6055366 20.5193161 110.519316 2.32068527232 7.40107258 6.227027815 12.2949937 32.7151086 20.4201149 110.420115 2.29464829233 7.37858798 6.200287135 12.5020066 32.827333 20.3253264 110.325326 2.2677866234 7.35573559 6.173074279 12.7072137 32.942243 20.2350293 110.235029 2.2401036235 7.33251897 6.14539132 12.9105687 33.0598725 20.1493038 110.149304 2.21160274236 7.30894176 6.117240365 13.1120244 33.1802564 20.068232 110.068232 2.18228749237 7.28500768 6.088623559 13.3115331 33.3034305 19.9918975 109.991897 2.15216133238 7.26072051 6.05954308 13.509046 33.4294318 19.9203857 109.920386 2.12122776239 7.23608415 6.030001144 13.7045139 33.5582978 19.853784 109.853784 2.08949027240 7.21110255 6 13.8978862 33.6900675 19.7921813 109.792181 2.05695239241 7.18577977 5.969541933 14.0891121 33.8247806 19.7356686 109.735669 2.0236176242 7.16011994 5.938629262 14.2781393 33.9624779 19.6843386 109.684339 1.9894894243 7.13412728 5.907264341 14.4649149 34.1032012 19.6382863 109.638286 1.95457126244 7.1078061 5.875449559 14.6493852 34.2469935 19.5976083 109.597608 1.91886664245 7.0811608 5.843187339 14.8314954 34.3938988 19.5624034 109.562403 1.88237898246 7.05419587 5.810480138 15.0111896 34.5439621 19.5327725 109.532772 1.84511169247 7.0269159 5.777330446 15.1884112 34.6972297 19.5088185 109.508819 1.80706813248 6.99932556 5.743740788 15.3631023 34.853749 19.4906466 109.490647 1.76825163249 6.97142961 5.709713722 15.5352043 35.0135684 19.4783641 109.478364 1.72866549250 6.94323292 5.675251839 15.7046573 35.1767378 19.4720805 109.472081 1.68831295251 6.91474047 5.640357764 15.8714002 35.343308 19.4719077 109.471908 1.64719719252 6.88595729 5.605034154 16.0353713 35.5133312 19.4779599 109.47796 1.60532135253 6.85688857 5.569283698 16.1965071 35.6868607 19.4903536 109.490354 1.56268851254 6.82753957 5.533109121 16.3547436 35.8639513 19.5092077 109.509208 1.51930168255 6.79791564 5.496513175 16.5100152 36.0446589 19.5346437 109.534644 1.4751638256 6.76802227 5.459498649 16.6622552 36.2290406 19.5667854 109.566785 1.43027774257 6.73786504 5.42206836 16.8113958 36.4171552 19.6057594 109.605759 1.38464631258 6.70744963 5.384225161 16.9573679 36.6090626 19.6516947 109.651695 1.33827224259 6.67678185 5.345971931 17.1001011 36.8048239 19.7047228 109.704723 1.29115818260 6.64586761 5.307311585 17.2395237 37.004502 19.7649783 109.764978 1.2433067261 6.61471293 5.268247067 17.3755628 37.2081609 19.832598 109.832598 1.1947203262 6.58332396 5.228781352 17.5081442 37.415866 19.9077219 109.907722 1.1454014263 6.55170697 5.188917444 17.6371921 37.6276845 19.9904924 109.990492 1.09535232264 6.51986834 5.14865838 17.7626296 37.8436846 20.081055 110.081055 1.04457535265 6.48781456 5.108007226 17.8843784 38.0639363 20.179558 110.179558 0.99307265266 6.45555229 5.066967078 18.0023586 38.288511 20.2861525 110.286152 0.94084635267 6.42308827 5.02554106 18.1164891 38.5174816 20.4009925 110.400993 0.88789847268 6.3904294 4.983732328 18.2266872 38.7509225 20.5242353 110.524235 0.834231

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269 6.3575827 4.941544066 18.332869 38.9889096 20.6560406 110.656041 0.77984585270 6.32455532 4.898979486 18.4349488 39.2315205 20.7965717 110.796572 0.72474487271 6.29135456 4.856041829 18.5328397 39.4788342 20.9459944 110.945994 0.66892988272 6.25798786 4.812734366 18.6264533 39.7309313 21.104478 111.104478 0.61240264273 6.22446279 4.769060395 18.7156995 39.987894 21.2721946 111.272195 0.5551649274 6.19078708 4.725023241 18.8004869 40.2498062 21.4493193 111.449319 0.49721838275 6.15696859 4.680626259 18.8807225 40.5167531 21.6360305 111.636031 0.43856479276 6.12301534 4.635872828 18.956312 40.7888216 21.8325096 111.83251 0.37920585277 6.08893552 4.590766358 19.0271593 41.0661002 22.0389409 112.038941 0.31914332278 6.05473745 4.545310284 19.0931671 41.3486791 22.255512 112.255512 0.25837898279 6.02042962 4.499508066 19.1542365 41.6366497 22.4824132 112.482413 0.19691468280 5.98602069 4.453363194 19.210267 41.9301052 22.7198382 112.719838 0.13475235281 5.95151948 4.40687918 19.2611568 42.2291403 22.9679834 112.967983 0.07189404282 5.91693497 4.360059566 19.3068028 42.5338511 23.2270482 113.227048 0.00834191283 5.88227632 4.312907916 19.3471003 42.8443352 23.4972349 113.497235 -0.05590169284 5.84755286 4.265427822 19.3819432 43.1606918 23.7787486 113.778749 -0.12083426285 5.81277412 4.217622899 19.4112242 43.4830212 24.071797 114.071797 -0.18645302286 5.77794976 4.169496787 19.4348346 43.8114253 24.3765907 114.376591 -0.25275498287 5.74308968 4.121053153 19.4526645 44.1460072 24.6933427 114.693343 -0.31973681288 5.70820393 4.072295684 19.4646029 44.4868713 25.0222684 115.022268 -0.38739485289 5.67330277 4.023228094 19.4705375 44.8341231 25.3635856 115.363586 -0.45572504290 5.63839663 3.973854119 19.4703551 45.1878694 25.7175143 115.717514 -0.52472289291 5.60349616 3.92417752 19.4639415 45.5482178 26.0842764 116.084276 -0.59438342292 5.56861219 3.87420208 19.4511814 45.9152771 26.4640957 116.464096 -0.66470107293 5.53375577 3.823931605 19.4319589 46.2891567 26.8571977 116.857198 -0.73566969294 5.49893813 3.773369922 19.4061575 46.6699668 27.2638093 117.263809 -0.80728246295 5.46417073 3.722520882 19.37366 47.0578184 27.6841585 117.684158 -0.8795318296 5.42946521 3.671388358 19.3343486 47.4528229 28.1184743 118.118474 -0.9524093297 5.39483345 3.619976244 19.2881055 47.8550919 28.5669864 118.566986 -1.02590569298 5.36028754 3.568288454 19.2348126 48.2647373 29.0299247 119.029925 -1.10001068299 5.32583976 3.516328926 19.1743519 48.6818712 29.5075194 119.507519 -1.17471295300 5.29150262 3.464101615 19.1066054 49.1066054 30 120 -1.25301 5.25728886 3.4116105 19.0314556 49.5390512 30.5075955 120.507596 -1.3258581302 5.22321143 3.358859577 18.9487858 49.9793196 31.0305337 121.030534 -1.40227215303 5.18928349 3.305852864 18.8584799 50.4275207 31.5690408 121.569041 -1.47922562304 5.15551843 3.252594398 18.7604228 50.8837636 32.1233407 122.123341 -1.55670041305 5.12192986 3.199088234 18.654501 51.3481561 32.6936551 122.693655 -1.63467673306 5.08853161 3.145338447 18.5406024 51.8208045 33.2802021 123.280202 -1.71313304307 5.05533772 3.09134913 18.4186167 52.3018132 33.8831964 123.883196 -1.79204586308 5.02236245 3.037124395 18.2884362 52.7912843 34.5028482 124.502848 -1.8713897309 4.98962029 2.982668372 18.1499553 53.2893177 35.1393625 125.139362 -1.95113692310 4.95712592 2.927985206 18.0030715 53.7960103 35.7929387 125.792939 -2.03125759311 4.92489424 2.873079063 17.8476856 54.3114555 36.4637699 126.46377 -2.11171938312 4.89294037 2.817954124 17.683702 54.8357436 37.1520416 127.152042 -2.19248742313 4.8612796 2.762614587 17.5110291 55.3689605 37.8579313 127.857931 -2.2735242

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314 4.82992744 2.707064667 17.3295799 55.9111877 38.5816078 128.581608 -2.35478939315 4.79889959 2.651308592 17.1392722 56.462502 39.3232298 129.32323 -2.43623977316 4.76821191 2.595350611 16.9400294 57.0229746 40.0829452 130.082945 -2.51782907317 4.73788045 2.539194983 16.7317805 57.5926709 40.8608904 130.86089 -2.59950787318 4.70792143 2.482845986 16.5144612 58.1716501 41.6571888 131.657189 -2.68122348319 4.67835121 2.42630791 16.288014 58.7599641 42.4719502 132.47195 -2.76291987320 4.64918631 2.369585062 16.0523887 59.357658 43.3052692 133.305269 -2.84453751321 4.62044337 2.31268176 15.8075434 59.9647683 44.1572249 134.157225 -2.92601334322 4.59213914 2.255602339 15.5534445 60.5813233 45.0278789 135.027879 -3.00728068323 4.5642905 2.198351145 15.2900676 61.2073423 45.9172747 135.917275 -3.08826919324 4.53691438 2.140932539 15.0173981 61.8428346 46.8254366 136.825437 -3.16890479325 4.51002782 2.083350891 14.7354316 62.4877995 47.7523679 137.752368 -3.24910968326 4.48364787 2.025610589 14.4441746 63.1422253 48.6980507 138.698051 -3.32880233327 4.45779165 1.967716029 14.1436451 63.8060889 49.6624438 139.662444 -3.40789746328 4.43247625 1.909671619 13.8338731 64.4793551 50.645482 140.645482 -3.48630617329 4.40771877 1.85148178 13.5149013 65.1619763 51.647075 141.647075 -3.56393593330 4.38353628 1.793150944 13.1867854 65.8538915 52.6671061 142.667106 -3.64069075331 4.35994576 1.734683553 12.849595 66.5550263 53.7054312 143.705431 -3.71647125332 4.33696412 1.676084059 12.5034139 67.2652918 54.7618779 144.761878 -3.7911749333 4.31460814 1.617356924 12.1483405 67.9845845 55.836244 145.836244 -3.86469616334 4.29289447 1.558506621 11.7844885 68.7127858 56.9282973 146.928297 -3.93692673335 4.27183955 1.499537632 11.4119871 69.4497614 58.0377743 148.037774 -4.00775587336 4.25145963 1.440454448 11.0309817 70.1953612 59.1643795 149.16438 -4.07707063337 4.23177073 1.381261567 10.6416337 70.9494187 60.307785 150.307785 -4.14475626338 4.21278856 1.321963498 10.2441213 71.7117508 61.4676294 151.467629 -4.21069659339 4.19452855 1.262564756 9.83863952 72.4821576 62.6435181 152.643518 -4.2747744340 4.17700576 1.203069865 9.42540014 73.2604225 63.8350223 153.835022 -4.33687193341 4.16023487 1.143483356 9.00463209 74.0463116 65.0416795 155.041679 -4.39687133342 4.14423016 1.083809766 8.5765813 74.8395741 66.2629928 156.262993 -4.45465522343 4.12900543 1.02405364 8.14151065 75.6399424 67.4984317 157.498432 -4.51010718344 4.11457401 0.964219528 7.69969979 76.4471319 68.7474321 158.747432 -4.56311236345 4.10094869 0.904311987 7.25144492 77.2608416 70.0093967 160.009397 -4.61355807346 4.0881417 0.844335579 6.79705844 78.0807543 71.2836959 161.283696 -4.66133434347 4.07616467 0.784294871 6.33686853 78.9065371 72.5696685 162.569669 -4.7063346348 4.06502861 0.724194437 5.87121862 79.7378416 73.866623 163.866623 -4.74845622349 4.05474384 0.664038852 5.40046679 80.574305 75.1738383 165.173838 -4.7876012350 4.04532 0.603832698 4.92498504 81.4155506 76.4905656 166.490566 -4.82367672351 4.03676601 0.54358056 4.44515854 82.2611885 77.8160299 167.81603 -4.85659575352 4.02909002 0.483287027 3.96138472 83.1108163 79.1494316 169.149432 -4.88627761353 4.02229939 0.422956689 3.47407229 83.9640207 80.4899484 170.489948 -4.91264854354 4.01640069 0.362594141 2.98364027 84.8203778 81.8367375 171.836738 -4.93564214355 4.01139966 0.30220398 2.49051679 85.6794549 83.1889381 173.188938 -4.95519989356 4.00730119 0.241790806 1.99513796 86.5408109 84.545673 174.545673 -4.97127155357 4.00410928 0.181359218 1.49794665 87.4039985 85.9060518 175.906052 -4.98381548358 4.0018271 0.120913819 0.99939114 88.2685644 87.2691732 177.269173 -4.992799

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359 4.00045689 0.060459211 0.49992386 89.1340515 88.6341277 178.634128 -4.99819856360 4 0 0 #DIV/0! #DIV/0! #DIV/0! #DIV/0!

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x j VA x j#DIV/0! #DIV/0! 0 20 20 #DIV/0! #DIV/0! #DIV/0!

-10.76984103 30.4139024 -0.34904813 19.9969539 20 31.1302281 30.389739785 29.76276628-10.75886688 30.4120521 -0.69798993 19.9878165 20 31.8264637 30.315536014 29.11115641-10.74061271 30.4089653 -1.04671912 19.9725907 20 32.5023312 30.192306343 28.4610562-10.71513233 30.4046376 -1.39512947 19.951281 20 33.1570033 30.020710802 27.81381717-10.68250052 30.3990629 -1.74311485 19.923894 20 33.7897229 29.801663746 27.17076874-10.64281248 30.3922332 -2.09056927 19.8904379 20 34.3998062 29.536324374 26.53321177

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-8.92610865 30.0362492 -8.13473286 18.2709092 20 41.1862508 19.199832705 17.17859631-8.789872382 30.0020499 -8.45236523 18.1261557 20 41.3355439 18.476298069 16.82130545-8.651053674 29.9661395 -8.76742294 17.9758809 20 41.4634426 17.753911927 16.48341509-8.509905435 29.9284854 -9.07980999 17.8201305 20 41.5705477 17.034842636 16.16493088-8.366675131 29.8890541 -9.38943126 17.6589519 20 41.6574826 16.321141748 15.86580332-8.221604067 29.8478123 -9.6961924 17.4923941 20 41.7248889 15.614738896 15.58593095-8.074926753 29.8047261 -10 17.3205081 20 41.773423 14.917438108 15.32516361-7.926870357 29.7597617 -10.3007615 17.143346 20 41.803752 14.23091545 15.0833057-7.777654237 29.7128852 -10.5983853 16.9609619 20 41.8165506 13.556717919 14.86011961-7.627489557 29.6640625 -10.8927807 16.7734114 20 41.8124977 12.896263465 14.65532906

-7.47657898 29.61326 -11.1838581 16.5807515 20 41.7922731 12.250842054 14.46862247-7.325116425 29.5604441 -11.4715287 16.3830409 20 41.756555 11.621617638 14.29965624-7.173286902 29.5055814 -11.755705 16.1803399 20 41.7060175 11.009630938 14.14805803-7.021266406 29.448639 -12.0363005 15.9727102 20 41.6413276 10.415802921 14.01342991-6.869221869 29.3895843 -12.3132295 15.7602151 20 41.5631438 9.8409388715 13.89535139-6.717311168 29.3283854 -12.5864078 15.5429192 20 41.4721136 9.2857329415 13.79338241-6.565683176 29.2650109 -12.8557522 15.3208889 20 41.3688719 8.7507731034 13.70706609-6.414477865 29.1994299 -13.1211806 15.0941916 20 41.25404 8.2365463958 13.63593147

-6.26382644 29.1316123 -13.3826121 14.8628965 20 41.1282234 7.7434443901 13.57949601-6.113851513 29.061529 -13.6399672 14.627074 20 40.9920114 7.2717687999 13.53726795

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-5.964667302 28.9891515 -13.8931674 14.386796 20 40.8459757 6.8217371629 13.50874862-5.816379857 28.9144523 -14.1421356 14.1421356 20 40.6906701 6.3934885368 13.49343442-5.669087311 28.8374048 -14.386796 13.8931674 20 40.5266293 5.9870891548 13.49081885-5.522880141 28.7579835 -14.627074 13.6399672 20 40.3543689 5.602537994 13.50039425-5.377841449 28.6761639 -14.8628965 13.3826121 20 40.1743848 5.2397722184 13.52165341-5.234047251 28.5919227 -15.0941916 13.1211806 20 39.9871531 4.8986724631 13.55409111-5.091566775 28.5052377 -15.3208889 12.8557522 20 39.7931298 4.5790679318 13.59720547-4.950462764 28.4160879 -15.5429192 12.5864078 20 39.5927513 4.2807412877 13.65049914

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-3.75 27.5 -17.3205081 10 20 37.5656986 2.5 14.50961894-3.624900388 27.3853355 -17.4923941 9.6961924 20 37.3215251 2.3952847273 14.63899342-3.501524825 27.2680632 -17.6589519 9.38943126 20 37.0745513 2.3075460943 14.7736126-3.379881055 27.1481785 -17.8201305 9.07980999 20 36.8249985 2.2363029765 14.91308939-3.259973937 27.0256783 -17.9758809 8.76742294 20 36.5730731 2.181069707 15.05704797-3.141805665 26.900561 -18.1261557 8.45236523 20 36.3189677 2.141357784 15.20512376-3.025375975 26.7728261 -18.2709092 8.13473286 20 36.062861 2.1166774051 15.3569634-2.910682345 26.6424749 -18.4100971 7.81462257 20 35.8049191 2.1065388404 15.51222474-2.797720181 26.50951 -18.5436771 7.49213187 20 35.5452954 2.1104536563 15.67057667-2.686482993 26.3739352 -18.6716085 7.16735899 20 35.2841314 2.1279357982 15.83169906-2.576962569 26.2357559 -18.7938524 6.84040287 20 35.0215576 2.1585025444 15.9952826-2.469149126 26.0949787 -18.9103715 6.51136309 20 34.7576936 2.2016753407 16.16102859-2.363031466 25.9516116 -19.0211303 6.18033989 20 34.4926487 2.2569805245 16.32864877-2.258597112 25.8056639 -19.1260951 5.84743409 20 34.2265225 2.3239499493 16.49786513-2.155832441 25.6571461 -19.2252339 5.51274712 20 33.9594056 2.4021215161 16.66840963-2.054722808 25.50607 -19.3185165 5.1763809 20 33.6913796 2.491039622 16.84002403

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-0.803188303 23.131678 -19.9969539 0.34904813 20 29.872379 4.626718628 19.23136202-0.724744871 22.9443872 -20 1.22465E-15 20 29.5959179 4.827244611 19.39387691-0.647656577 22.7548675 -19.9969539 -0.34904813 20 29.3190093 5.0322554071 19.55444396-0.571903787 22.5631462 -19.9878165 -0.69798993 20 29.0416465 5.2414240787 19.71293082-0.497467012 22.3692512 -19.9725907 -1.04671912 20 28.7638201 5.4544306844 19.86921031-0.424326929 22.1732107 -19.951281 -1.39512947 20 28.4855186 5.6709621322 20.02316015-0.352464408 21.9750535 -19.923894 -1.74311485 20 28.2067282 5.8907120323 20.17466276-0.281860527 21.7748086 -19.8904379 -2.09056927 20 27.9274331 6.1133805466 20.32360508-0.212496592 21.5725056 -19.850923 -2.43738687 20 27.6476159 6.3386742387 20.46987833-0.144354152 21.3681741 -19.8053614 -2.78346202 20 27.3672573 6.5663059238 20.6133778-0.077415013 21.1618442 -19.7537668 -3.1286893 20 27.0863366 6.7959945206 20.75400275-0.011661248 20.953546 -19.6961551 -3.47296355 20 26.8048319 7.0274649041 20.89165610.052924794 20.7433099 -19.6325437 -3.81617991 20 26.52272 7.2604477615 21.026244370.116360474 20.5311665 -19.562952 -4.15823382 20 26.2399765 7.4946794514 21.157677460.178662864 20.3171462 -19.4874013 -4.49902109 20 25.9565763 7.7299018656 21.285868460.239848735 20.1012797 -19.4059145 -4.83843791 20 25.6724932 7.965862295 21.410733550.299934555 19.8835976 -19.3185165 -5.1763809 20 25.3877005 8.2023133001 21.532191840.358936487 19.6641304 -19.2252339 -5.51274712 20 25.1021705 8.4390125845 21.650165180.416870382 19.4429087 -19.1260951 -5.84743409 20 24.8158754 8.6757228739 21.764578090.473751783 19.2199627 -19.0211303 -6.18033989 20 24.5287865 8.9122117992 21.875357590.529595923 18.9953226 -18.9103715 -6.51136309 20 24.2408749 9.148251784 21.982433060.584417722 18.7690184 -18.7938524 -6.84040287 20 23.9521114 9.3836199371 22.085736170.638231792 18.5410799 -18.6716085 -7.16735899 20 23.6624665 9.6180979491 22.185200750.691052435 18.3115366 -18.5436771 -7.49213187 20 23.3719104 9.8514719946 22.280762640.742893647 18.0804176 -18.4100971 -7.81462257 20 23.0804132 10.083532638 22.372359650.793769122 17.8477517 -18.2709092 -8.13473286 20 22.7879449 10.314074743 22.459931430.843692252 17.6135675 -18.1261557 -8.45236523 20 22.4944756 10.542897391 22.543419390.892676133 17.377893 -17.9758809 -8.76742294 20 22.199975 10.769803798 22.622766590.940733566 17.1407559 -17.8201305 -9.07980999 20 21.9044133 10.994601237 22.697917710.987877065 16.9021833 -17.6589519 -9.38943126 20 21.6077605 11.217100971 22.768818911.034118858 16.6622019 -17.4923941 -9.6961924 20 21.3099865 11.437118179 22.835417821.079470895 16.420838 -17.3205081 -10 20 21.0110618 11.654471895 22.897663421.123944849 16.1781173 -17.143346 -10.3007615 20 20.7109566 11.868984949 22.9555061.167552126 15.9340647 -16.9609619 -10.5983853 20 20.4096414 12.080483906 23.008897131.210303866 15.6887049 -16.7734114 -10.8927807 20 20.1070871 12.288799015 23.057789541.252210951 15.4420617 -16.5807515 -11.1838581 20 19.8032645 12.493764161 23.10213712

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-4.998198564 -7.32428815 0.34904813 19.9969539 20 -7.49679401 -7.329410215 -7.626475296#DIV/0! #DIV/0! 4.89859E-15 20 20 #DIV/0! #DIV/0! #DIV/0!

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x j VB Real x Imagin j Real2 x Imagin2 j#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

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6.07269819 2.34068658 6.508185386 12.045997619 4.64306048 -3.731899806 9.68207422636.1916694 2.40196114 6.6412489214 11.79409955 4.57533614 -3.843633323 9.9079483174

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