Metodo de Jacobi Tres Niveles

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EL METODO DE JACOBI 1 2 -271299.288547 298722.055011 298722.055011 -284615.355512 -172523.762385 163189.065763 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 -24416.935969 26884.984951 23897.764401 -22769.228441 -12076.663367 11423.234603 1º Interacc!n -271299.288547 -284615.355512 298722.055011 " 44.8664092465 # " 44.361590379 C!$# " 0.7149415554 %en# " 0.6991842192 Matr& 'e Tran$(!r)ac!n 0.7149415554 -0.6991842192 0.6991842192 0.7149415554 0 0 0 0 *A+ 0 " a 1-1 a 1-2 a 2-1 a 2-2 a 3-1 a 3-2 *A+ 0 " a 4-1 a 4-2 a 5-1 a 5-2 a 6-1 a 6-2 a 7-1 a 7-2 a 8-1 a 8-2 a 9-1 a 9-2 a - " a 1-1 " a ,-, " a 2-2 " a -, " a 1-2 " Tan 2# " 2 a -, a - - a ,-, */ 0 +"

description

jacobian

Transcript of Metodo de Jacobi Tres Niveles

Interacciones01

EL METODO DE JACOBI123456789-271299.288547298722.055011-172523.7623850.000000-0.0000000.000000-24416.93596923897.764401-12076.6633671298722.055011-284615.355512163189.065763-0.0000000.000000-0.00000026884.984951-22769.22844111423.2346032-172523.762385163189.065763-82558.3149150.000000-0.0000000.000000-15527.13861513055.125261-5779.0820443[A]0 =0.000000-0.0000000.000000121176.093892-49788.306869171.88418040408.443197-17023.8171671.7494254-0.0000000.000000-0.000000-49788.306869103281.918699-48735.083587-16028.05103035663.705886-18175.34685650.000000-0.0000000.000000171.884180-48735.08358744515.673360-6.844784-16713.29434816474.0981156-24416.93596926884.984951-15527.13861540408.443197-16028.051030-6.844784-7592400.72565312591733.116418-8604054.509629723897.764401-22769.22844113055.125261-17023.81716735663.705886-16713.29434812591733.116418-9333013.5176065888392.4370578-12076.66336711423.234603-5779.0820441.749425-18175.34685616474.098115-8604054.5096295888392.437057-2127263.9513949

a1-1a1-2a1-3a1-4a1-5a1-6a1-7a1-8a1-9a2-1a2-2a2-3a2-4a2-5a2-6a2-7a2-8a2-9a3-1a3-2a3-3a3-4a3-5a3-6a3-7a3-8a3-9[A]0 =a4-1a4-2a4-3a4-4a4-5a4-6a4-7a4-8a4-9a5-1a5-2a5-3a5-4a5-5a5-6a5-7a5-8a5-9a6-1a6-2a6-3a6-4a6-5a6-6a6-7a6-8a6-9a7-1a7-2a7-3a7-4a7-5a7-6a7-7a7-8a7-9a8-1a8-2a8-3a8-4a8-5a8-6a8-7a8-8a8-9a9-1a9-2a9-3a9-4a9-5a9-6a9-7a9-8a9-9

1 Interaccion

ai-i =a1-1 =-271299.288547aj-j =a2-2 =-284615.355512ai-j =a1-2 =298722.055011

Tang 2 =2 x ai-j=44.8664092465ai-i - aj-j

=44.3615903785

Cos =0.7149415554Sen =0.6991842192

Matriz de Transformacion

0.7149415554-0.699184219200000000.69918421920.71494155540000000001000000[P0] =000100000000010000000001000000000100000000010000000001

Matriz Transpuesta0.71494155540.69918421920000000-0.69918421920.71494155540000000001000000000100000[P0]T =000010000000001000000000100000000010000000001

[A](1) =[P0]T x [A](0) x [P0]12345678920838.922190-0.000000-9245.1875040.0000000.000000-0.0000001340.8750301165.619643-647.16312510.000000-576753.566249237296.536595-0.0000000.000000-0.00000036293.129268-32987.60734016610.7575622-9245.187504237296.536595-82558.3149150.000000-0.0000000.000000-15527.13861513055.125261-5779.0820443[A](1) =0.000000-0.0000000.000000121176.093892-49788.306869171.88418040408.443197-17023.8171671.74942540.0000000.000000-0.000000-49788.306869103281.918699-48735.083587-16028.05103035663.705886-18175.3468565-0.000000-0.0000000.000000171.884180-48735.08358744515.673360-6.844784-16713.29434816474.09811561340.87503036293.129268-15527.13861540408.443197-16028.051030-6.844784-7592400.72565312591733.116418-8604054.50962971165.619643-32987.60734013055.125261-17023.81716735663.705886-16713.29434812591733.116418-9333013.5176065888392.4370578-647.16312516610.757562-5779.0820441.749425-18175.34685616474.098115-8604054.5096295888392.437057-2127263.9513949

2 Interaccion

ai-i =a1-1 =20838.922190aj-j =a3-3 =-82558.314915ai-j =a1-3 =-9245.187504

Tang 2 =2 x ai-j=-0.1788285212ai-i - aj-j

=-5.0694730706

Cos =0.9960882865Sen =-0.0883635981

Matriz de Transformacion

0.996088286500.0883635981000000010000000-0.088363598100.9960882865000000[P1] =000100000000010000000001000000000100000000010000000001

Matriz Transpuesta0.99608828650-0.08836359810000000100000000.088363598100.9960882865000000000100000[P1]T =000010000000001000000000100000000010000000001

[A](2) =[P1]T x [A](1) x [P1]12345678912345678921659.068401-20968.375802-0.0000000.0000000.000000-0.0000002707.6637487.462231-133.97112510.7121449089-0.69918421920.06317480830000001-20968.375802-576753.566249236368.300532-0.0000000.000000-0.00000036293.129268-32987.60734016610.75756220.69644921080.71494155540.06178243340000002-0.000000236368.300532-83378.4611260.000000-0.0000000.000000-15347.91635513107.055697-5813.6615933-0.088363598100.99608828650000003[A](2) =0.000000-0.0000000.000000121176.093892-49788.306869171.88418040408.443197-17023.8171671.7494254=00010000040.0000000.000000-0.000000-49788.306869103281.918699-48735.083587-16028.05103035663.705886-18175.34685650000100005-0.000000-0.0000000.000000171.884180-48735.08358744515.673360-6.844784-16713.29434816474.098115600000100062707.66374836293.129268-15347.91635540408.443197-16028.051030-6.844784-7592400.72565312591733.116418-8604054.509629700000010077.462231-32987.60734013107.055697-17023.81716735663.705886-16713.29434812591733.116418-9333013.5176065888392.43705780000000108-133.97112516610.757562-5813.6615931.749425-18175.34685616474.098115-8604054.5096295888392.437057-2127263.95139490000000019

3 Interaccion

ai-i =a1-1 =21659.068401aj-j =a4-4 =121176.093892ai-j =a1-4 =0.000000

Tang 2 =2 x ai-j=-0ai-i - aj-j

=-0

Cos =1.00Sen =-0

Matriz de Transformacion

100000000010000000001000000[P2] =-000100000000010000000001000000000100000000010000000001

Matriz Transpuesta100-000000010000000001000000000100000[P2]T =000010000000001000000000100000000010000000001

[A](3) =[P2]T x [A](2) x [P2]12345678912345678921659.068401-20968.375802-0.000000-0.0000000.000000-0.0000002707.6637487.462231-133.97112510.7121449089-0.69918421920.06317480830000001-20968.375802-576753.566249236368.300532-0.0000000.000000-0.00000036293.129268-32987.60734016610.75756220.69644921080.71494155540.06178243340000002-0.000000236368.300532-83378.4611260.000000-0.0000000.000000-15347.91635513107.055697-5813.6615933-0.088363598100.9960882865-0000003[A](3) =0.000000-0.0000000.000000121176.093892-49788.306869171.88418040408.443197-17023.8171671.7494254=-00010000040.0000000.000000-0.000000-49788.306869103281.918699-48735.083587-16028.05103035663.705886-18175.34685650000100005-0.000000-0.0000000.000000171.884180-48735.08358744515.673360-6.844784-16713.29434816474.098115600000100062707.66374836293.129268-15347.91635540408.443197-16028.051030-6.844784-7592400.72565312591733.116418-8604054.509629700000010077.462231-32987.60734013107.055697-17023.81716735663.705886-16713.29434812591733.116418-9333013.5176065888392.43705780000000108-133.97112516610.757562-5813.6615931.749425-18175.34685616474.098115-8604054.5096295888392.437057-2127263.95139490000000019

4 Interaccion

ai-i =a1-1 =21659.068401aj-j =a5-5 =103281.918699ai-j =a1-5 =0.000000

Tang 2 =2 x ai-j=-0ai-i - aj-j

=-0

Cos =1.00Sen =-0

Matriz de Transformacion123456789100000000101000000020010000003[P3] =0001000004-00001.00000050000010006000000100700000001080000000019

Matriz Transpuesta1000-00000010000000001000000000100000[P3]T =000010000000001000000000100000000010000000001

[A](4) =[P3]T x [A](3) x [P3]12345678912345678921659.068401-20968.375802-0.0000000.000000-0.0000000.0000002707.6637487.462231-133.97112510.7121449089-0.69918421920.06317480830000001-20968.375802-576753.566249236368.300532-0.0000000.000000-0.00000036293.129268-32987.60734016610.75756220.69644921080.71494155540.06178243340000002-0.000000236368.300532-83378.4611260.000000-0.0000000.000000-15347.91635513107.055697-5813.6615933-0.088363598100.9960882865-0-000003[A](4) =0.000000-0.0000000.000000121176.093892-49788.306869171.88418040408.443197-17023.8171671.7494254=-0001-0000040.0000000.000000-0.000000-49788.306869103281.918699-48735.083587-16028.05103035663.705886-18175.3468565-00001000050.000000-0.0000000.000000171.884180-48735.08358744515.673360-6.844784-16713.29434816474.098115600000100062707.66374836293.129268-15347.91635540408.443197-16028.051030-6.844784-7592400.72565312591733.116418-8604054.509629700000010077.462231-32987.60734013107.055697-17023.81716735663.705886-16713.29434812591733.116418-9333013.5176065888392.43705780000000108-133.97112516610.757562-5813.6615931.749425-18175.34685616474.098115-8604054.5096295888392.437057-2127263.95139490000000019

5 Interaccion

ai-i =a1-1 =21659.068401aj-j =a6-6 =44515.673360ai-j =a1-6 =0.000000

Tang 2 =2 x ai-j=-0ai-i - aj-j

=-0

Cos =1.00Sen =-0

Matriz de Transformacion123456789100000000101000000020010000003[P4] =00010000040000100005-000001.000006000000100700000001080000000019

Matriz Transpuesta10000-0000010000000001000000000100000[P4]T =000010000000001000000000100000000010000000001

[A](5) =[P4]T x [A](4) x [P4]12345678912345678921659.068401-20968.375802-0.0000000.0000000.0000000.0000002707.6637487.462231-133.97112510.7121449089-0.69918421920.06317480830000001-20968.375802-576753.566249236368.300532-0.0000000.000000-0.00000036293.129268-32987.60734016610.75756220.69644921080.71494155540.06178243340000002-0.000000236368.300532-83378.4611260.000000-0.0000000.000000-15347.91635513107.055697-5813.6615933-0.088363598100.9960882865-0-0-00003[A](5) =0.000000-0.0000000.000000121176.093892-49788.306869171.88418040408.443197-17023.8171671.7494254=-0001-0-000040.0000000.000000-0.000000-49788.306869103281.918699-48735.083587-16028.05103035663.705886-18175.3468565-00001-000050.000000-0.0000000.000000171.884180-48735.08358744515.673360-6.844784-16713.29434816474.0981156-00000100062707.66374836293.129268-15347.91635540408.443197-16028.051030-6.844784-7592400.72565312591733.116418-8604054.509629700000010077.462231-32987.60734013107.055697-17023.81716735663.705886-16713.29434812591733.116418-9333013.5176065888392.43705780000000108-133.97112516610.757562-5813.6615931.749425-18175.34685616474.098115-8604054.5096295888392.437057-2127263.95139490000000019

6 Interaccion

ai-i =a1-1 =21659.068401aj-j =a7-7 =-7592400.725653ai-j =a1-7 =2707.663748

Tang 2 =2 x ai-j=0.0007112273ai-i - aj-j

=0.020375159

Cos =1.00Sen =0.0003556136

Matriz de Transformacion1234567890.999999936800000-0.000355613600101000000020010000003[P5] =0001000004000010000500000100060.0003556136000001.0000700000001080000000019

Matriz Transpuesta0.9999999368000000.000355613600010000000001000000000100000[P5]T =000010000000001000-0.0003556136000000.999999936800000000010000000001

[A](6) =[P5]T x [A](5) x [P5]12345678912345678921660.031283-20955.468145-5.45792814.369792-5.699793-0.0024340.0000004485.253808-3193.68993810.7121448639-0.69918421920.0631748083000-0.0002532484001-20955.468145-576753.566249236368.300532-0.0000000.000000-0.00000036300.583613-32987.60734016610.75756220.69644916680.71494155540.0617824334000-0.0002476668002-5.457928236368.300532-83378.4611260.000000-0.0000000.000000-15347.91538413107.055697-5813.6615933-0.088363592600.9960882865-0-0-00.0000314233003[A](6) =14.369792-0.0000000.000000121176.093892-49788.306869171.88418040408.440642-17023.8171671.7494254=-0001-0-00004-5.6997930.000000-0.000000-49788.306869103281.918699-48735.083587-16028.05001735663.705886-18175.3468565-00001-00005-0.002434-0.0000000.000000171.884180-48735.08358744515.673360-6.844784-16713.29434816474.0981156-00000100060.00000036300.583613-15347.91538440408.440642-16028.050017-6.844784-7592401.68853512591732.317582-8604053.91794870.0003556136000000.99999993680074485.253808-32987.60734013107.055697-17023.81716735663.705886-16713.29434812591732.317582-9333013.5176065888392.43705780000000108-3193.68993816610.757562-5813.6615931.749425-18175.34685616474.098115-8604053.9179485888392.437057-2127263.95139490000000019

7 Interaccion

ai-i =a1-1 =21660.031283aj-j =a8-8 =-9333013.517606ai-j =a1-8 =4485.253808

Tang 2 =2 x ai-j=0.0009589333ai-i - aj-j

=0.0274714059

Cos =1Sen =0.0004794665

Matriz de Transformacion1234567890.9999998851000000-0.00047946650101000000020010000003[P6] =00010000040000100005000001000600000010070.00047946650000000.99999989080000000019

Matriz Transpuesta0.99999988510000000.00047946650010000000001000000000100000[P6]T =000010000000001000000000100-0.00047946650000000.99999988510000000001

[A](7) =[P6]T x [A](6) x [P6]12345678912345678921662.181812-20971.2821880.8264666.20744111.399759-8.0158986037.3133870.000000-370.40286310.712144782-0.69918421920.0631748083000-0.0002532484-0.000341449601-20971.282188-576753.566249236368.300532-0.0000000.000000-0.00000036300.583613-32977.55610416610.75756220.69644908670.71494155540.0617824334000-0.0002476668-0.000333924020.826466236368.300532-83378.4611260.000000-0.0000000.000000-15347.91538413107.056807-5813.6615933-0.088363582400.9960882865-0-0-00.00003142330.000042367403[A](7) =6.207441-0.0000000.000000121176.093892-49788.306869171.88418040408.440642-17023.8221001.7494254=-0001-0-0000411.3997590.000000-0.000000-49788.306869103281.918699-48735.083587-16028.05001735663.704520-18175.3468565-00001-00005-8.015898-0.0000000.000000171.884180-48735.08358744515.673360-6.844784-16713.29242616474.0981156-00000100066037.31338736300.583613-15347.91538440408.440642-16028.050017-6.844784-7592401.68853512591730.870238-8604053.91794870.0003556136000000.9999999368-0.0000001705070.000000-32977.55610413107.056807-17023.82210035663.704520-16713.29242612591730.870238-9333015.6681355888393.29148880.00047946650000000.999999885108-370.40286316610.757562-5813.6615931.749425-18175.34685616474.098115-8604053.9179485888393.291488-2127263.95139490000000019

8 Interaccion

ai-i =a1-1 =21662.181812aj-j =a9-9 =-2127263.951394ai-j =a1-9 =-370.402863

Tang 2 =2 x ai-j=-0.000344733ai-i - aj-j

=-0.0098758722

Cos =1Sen =-0.0001723665

Matriz de Transformacion1234567890.999999985100000000.0001723665101000000020010000003[P7] =00010000040000100005000001000600000010070000000108-0.000172366500000000.9999999859

Matriz Transpuesta0.99999998510000000-0.0001723665010000000001000000000100000[P7]T =0000100000000010000000001000000000100.000172366500000000.9999999851

[A](8) =[P7]T x [A](7) x [P7]12345678912345678921662.245657-20974.1450151.8285476.20713914.532579-10.8554817520.363837-1014.9616600.00000010.7121447714-0.69918421920.0631748083000-0.0002532484-0.00034144960.00012274991-20974.145015-576753.566249236368.300532-0.0000000.000000-0.00000036300.583613-32977.55610416607.14256920.69644907640.71494155540.0617824334000-0.0002476668-0.0003339240.000120044521.828547236368.300532-83378.4611260.000000-0.0000000.000000-15347.91538413107.056807-5813.6613643-0.088363581100.9960882865-0-0-00.00003142330.0000423674-0.00001523093[A](8) =6.207139-0.0000000.000000121176.093892-49788.306869171.88418040408.440642-17023.8221001.7504954=-0001-0-000-0414.5325790.000000-0.000000-49788.306869103281.918699-48735.083587-16028.05001735663.704520-18175.3446215-00001-000-05-10.855481-0.0000000.000000171.884180-48735.08358744515.673360-6.844784-16713.29242616474.0964886-00000100-067520.36383736300.583613-15347.91538440408.440642-16028.050017-6.844784-7592401.68853512591730.870238-8604052.74950370.0003556136000000.9999999368-0.00000017050.00000006137-1014.961660-32977.55610413107.056807-17023.82210035663.704520-16713.29242612591730.870238-9333015.6681355888393.20401580.00047946650000000.99999988510.000000082680.00000016607.142569-5813.6613641.750495-18175.34462116474.096488-8604052.7495035888393.204015-2127264.0152399-0.000172366500000000.99999998519

9 Interaccion

ai-i =a2-2 =-576753.566249aj-j =a3-3 =-83378.461126ai-j =a2-3 =236368.300532

Tang 2 =2 x ai-j=-0.9581687364ai-i - aj-j

=-21.8881042221

Cos =1Sen =-0.3727951367

Matriz de Transformacion123456789100000000100.92791367380.372795136700000020-0.37279513670.927913670000003[P8] =000100000400001000050000010006000000100700000001080000000019

Matriz Transpuesta10000000000.9279136738-0.372795136700000000.37279513670.9279136738000000000100000[P8]T =000010000000001000000000100000000010000000001

[A](9) =[P8]T x [A](8) x [P8]12345678912345678921662.245657-19462.877629-7817.3625256.20713914.532579-10.8554817520.363837-1014.9616600.00000010.7121447714-0.6723338588-0.2020317081000-0.0002532484-0.00034144960.00012274991-19462.877629-671716.0130800.000000-0.0000000.000000-0.00000039405.436116-35486.57227217577.29935620.69644907640.64037185450.3238554996000-0.0002476668-0.0003339240.00012004452-7817.362525-0.00000011583.985706-0.000000-0.0000000.000000-708.859518-131.655301796.4861093-0.0883635811-0.3713368690.9242839414-0-0-00.00003142330.0000423674-0.00001523093[A](9) =6.207139-0.000000-0.000000121176.093892-49788.306869171.88418040408.440642-17023.8221001.7504954=-0001-0-000-0414.5325790.000000-0.000000-49788.306869103281.918699-48735.083587-16028.05001735663.704520-18175.3446215-00001-000-05-10.855481-0.0000000.000000171.884180-48735.08358744515.673360-6.844784-16713.29242616474.0964886-00000100-067520.36383739405.436116-708.85951840408.440642-16028.050017-6.844784-7592401.68853512591730.870238-8604052.74950370.0003556136000000.9999999368-0.00000017050.00000006137-1014.961660-35486.572272-131.655301-17023.82210035663.704520-16713.29242612591730.870238-9333015.6681355888393.20401580.00047946650000000.99999988510.000000082680.00000017577.299356796.4861091.750495-18175.34462116474.096488-8604052.7495035888393.204015-2127264.0152399-0.000172366500000000.99999998519

10 Interaccion

ai-i =a2-2 =-671716.013080aj-j =a4-4 =121176.093892ai-j =a2-4 =-0.000000

Tang 2 =2 x ai-j=0ai-i - aj-j

=0

Cos =1Sen =0

Matriz de Transformacion1234567891000000001010-00000020010000003[P9] =0001.000000400001000050000010006000000100700000001080000000019

Matriz Transpuesta1000000000100000000010000000-00100000[P9]T =000010000000001000000000100000000010000000001

[A](10) =[P9]T x [A](9) x [P9]12345678912345678921662.245657-19462.877629-7817.3625256.20713914.532579-10.8554817520.363837-1014.9616600.00000010.7121447714-0.6723338588-0.2020317081000-0.0002532484-0.00034144960.00012274991-19462.877629-671716.0130800.0000000.0000000.000000-0.00000039405.436116-35486.57227217577.29935620.69644907640.64037185450.3238554996000-0.0002476668-0.0003339240.00012004452-7817.362525-0.00000011583.985706-0.000000-0.0000000.000000-708.859518-131.655301796.4861093-0.0883635811-0.3713368690.92428394140-0-00.00003142330.0000423674-0.00001523093[A](10) =6.2071390.000000-0.000000121176.093892-49788.306869171.88418040408.440642-17023.8221001.7504954=-0001-0-000-0414.5325790.000000-0.000000-49788.306869103281.918699-48735.083587-16028.05001735663.704520-18175.3446215-00001-000-05-10.855481-0.0000000.000000171.884180-48735.08358744515.673360-6.844784-16713.29242616474.0964886-00000100-067520.36383739405.436116-708.85951840408.440642-16028.050017-6.844784-7592401.68853512591730.870238-8604052.74950370.0003556136000000.9999999368-0.00000017050.00000006137-1014.961660-35486.572272-131.655301-17023.82210035663.704520-16713.29242612591730.870238-9333015.6681355888393.20401580.00047946650000000.99999988510.000000082680.00000017577.299356796.4861091.750495-18175.34462116474.096488-8604052.7495035888393.204015-2127264.0152399-0.000172366500000000.99999998519

11 Interaccion

ai-i =a2-2 =-671716.013080aj-j =a5-5 =103281.918699ai-j =a2-5 =0.000000

Tang 2 =2 x ai-j=-0ai-i - aj-j

=-0

Cos =1Sen =-0

Matriz de Transformacion123456789100000000101000000020010000003[P10] =00010000040-0001000050000010006000000100700000001080000000019

Matriz Transpuesta1000000000100-00000001000000000100000[P10]T =000010000000001000000000100000000010000000001

[A](11) =[P10]T x [A](10) x [P10]12345678912345678921662.245657-19462.877629-7817.3625256.20713914.532579-10.8554817520.363837-1014.9616600.00000010.7121447714-0.6723338588-0.2020317081000-0.0002532484-0.00034144960.00012274991-19462.877629-671716.0130800.0000000.0000000.000000-0.00000039405.436116-35486.57227217577.29935620.69644907640.64037185450.3238554996000-0.0002476668-0.0003339240.00012004452-7817.362525-0.00000011583.985706-0.000000-0.0000000.000000-708.859518-131.655301796.4861093-0.0883635811-0.3713368690.92428394140-0-00.00003142330.0000423674-0.00001523093[A](11) =6.2071390.000000-0.000000121176.093892-49788.306869171.88418040408.440642-17023.8221001.7504954=-0001-0-000-0414.5325790.000000-0.000000-49788.306869103281.918699-48735.083587-16028.05001735663.704520-18175.3446215-0-0001-000-05-10.855481-0.0000000.000000171.884180-48735.08358744515.673360-6.844784-16713.29242616474.0964886-00000100-067520.36383739405.436116-708.85951840408.440642-16028.050017-6.844784-7592401.68853512591730.870238-8604052.74950370.0003556136000000.9999999368-0.00000017050.00000006137-1014.961660-35486.572272-131.655301-17023.82210035663.704520-16713.29242612591730.870238-9333015.6681355888393.20401580.00047946650000000.99999988510.000000082680.00000017577.299356796.4861091.750495-18175.34462116474.096488-8604052.7495035888393.204015-2127264.0152399-0.000172366500000000.99999998519

12 Interaccion

ai-i =a2-2 =-671716.013080aj-j =a6-6 =44515.673360ai-j =a2-6 =-0.000000

Tang 2 =2 x ai-j=0ai-i - aj-j

=0

Cos =1Sen =0

Matriz de Transformacion123456789100000000101000-000020010000003[P11] =000100000400001000050000010006000000100700000001080000000019

Matriz Transpuesta100000000010000000001000000000100000[P11]T =0000100000-00001000000000100000000010000000001

[A](12) =[P11]T x [A](11) x [P11]12345678912345678921662.245657-19462.877629-7817.3625256.20713914.532579-10.8554817520.363837-1014.9616600.00000010.7121447714-0.6723338588-0.2020317081000-0.0002532484-0.00034144960.00012274991-19462.877629-671716.0130800.0000000.000000-0.0000000.00000039405.436116-35486.57227217577.29935620.69644907640.64037185450.3238554996000-0.0002476668-0.0003339240.00012004452-7817.362525-0.00000011583.985706-0.000000-0.0000000.000000-708.859518-131.655301796.4861093-0.0883635811-0.3713368690.92428394140-000.00003142330.0000423674-0.00001523093[A](12) =6.2071390.000000-0.000000121176.093892-49788.306869171.88418040408.440642-17023.8221001.7504954=-0001-0-000-0414.532579-0.000000-0.000000-49788.306869103281.918699-48735.083587-16028.05001735663.704520-18175.3446215-0-0001-000-05-10.8554810.0000000.000000171.884180-48735.08358744515.673360-6.844784-16713.29242616474.0964886-00000100-067520.36383739405.436116-708.85951840408.440642-16028.050017-6.844784-7592401.68853512591730.870238-8604052.74950370.0003556136000000.9999999368-0.00000017050.00000006137-1014.961660-35486.572272-131.655301-17023.82210035663.704520-16713.29242612591730.870238-9333015.6681355888393.20401580.00047946650000000.99999988510.000000082680.00000017577.299356796.4861091.750495-18175.34462116474.096488-8604052.7495035888393.204015-2127264.0152399-0.000172366500000000.99999998519

13 Interaccion

ai-i =a2-2 =-671716.013080aj-j =a7-7 =-7592401.688535ai-j =a2-7 =39405.436116

Tang 2 =2 x ai-j=0.011387726ai-i - aj-j

=0.3262202182

Cos =1Sen =0.0056935861

Matriz de Transformacion1234567891000000001010000-0.00569358610020010000003[P12] =00010000040000100005000001000600.00569358610000100700000001080000000019

Matriz Transpuesta10000000000.999983791400000.005693586100001000000000100000[P12]T =0000100000000010000-0.005693586100000.999983791400000000010000000001

[A](13) =[P12]T x [A](12) x [P12]12345678912345678921662.245657-19419.744324-7817.3625256.20713914.532579-10.8554817631.055513-1014.9616600.00000010.7121447714-0.6723244031-0.20203170810000.0035747464-0.00034144960.00012274991-19419.744324-671491.651199-4.035953230.068937-91.257083-0.0389710.00000036206.107176-31410.90096120.69644907640.64036006490.3238554996000-0.0038936751-0.0003339240.00012004452-7817.362525-4.03595311583.985706-0.000000-0.0000000.000000-708.848029-131.655301796.4861093-0.0883635811-0.37133067120.92428394140-000.00214566120.0000423674-0.00001523093[A](13) =6.207139230.068937-0.000000121176.093892-49788.306869171.88418040407.785678-17023.8221001.7504954=-0001-0-0-00-0414.532579-91.257083-0.000000-49788.306869103281.918699-48735.083587-16027.79022435663.704520-18175.3446215-0-0001-000-05-10.855481-0.0389710.000000171.884180-48735.08358744515.673360-6.844673-16713.29242616474.0964886-000001-00-067631.0555130.000000-708.84802940407.785678-16027.790224-6.844673-7592626.05041612591728.821854-8604013.36778370.00035561360.005693585800000.9999837282-0.00000017050.00000006137-1014.96166036206.107176-131.655301-17023.82210035663.704520-16713.29242612591728.821854-9333015.6681355888393.20401580.00047946650000000.99999988510.000000082680.000000-31410.900961796.4861091.750495-18175.34462116474.096488-8604013.3677835888393.204015-2127264.0152399-0.000172366500000000.99999998519

14 Interaccion

ai-i =a2-2 =-671491.651199aj-j =a8-8 =-9333015.668135ai-j =a2-8 =36206.107176

Tang 2 =2 x ai-j=0.0083602163ai-i - aj-j

=0.2394969755

Cos =1Sen =0.0041799986

Matriz de Transformacion12345678910000000010100000-0.0041799986020010000003[P13] =000100000400001000050000010006000000100700.0041799986000001080000000019

Matriz Transpuesta10000000000.9999912638000000.00417999860001000000000100000[P13]T =0000100000000010000000001000-0.0041799986000000.99999126380000000001

[A](14) =[P13]T x [A](13) x [P13]12345678912345678921662.245657-19423.817207-7817.3625256.20713914.532579-10.8554817631.055513-933.7782890.00000010.7121447714-0.6723199568-0.20203170810000.00357474640.00246886850.00012274991-19423.817207-671340.308400-4.586236158.90737557.817949-69.90051052633.4088380.000000-6797.15120420.69644907640.64035307480.3238554996000-0.0038936751-0.00301062530.00012004452-7817.362525-4.58623611583.985706-0.000000-0.0000000.000000-708.848029-131.637281796.4861093-0.0883635811-0.37132725010.92428394140-000.00214566120.0015945287-0.00001523093[A](14) =6.207139158.907375-0.000000121176.093892-49788.306869171.88418040407.785678-17024.6350641.7504954=-0001-0-0-0-0-0414.53257957.817949-0.000000-49788.306869103281.918699-48735.083587-16027.79022435663.774408-18175.3446215-0-0001-000-05-10.855481-69.9005100.000000171.884180-48735.08358744515.673360-6.844673-16713.14625216474.0964886-000001-0-0-067631.05551352633.408838-708.84802940407.785678-16027.790224-6.844673-7592626.05041612591618.817586-8604013.36778370.00035561360.005693535300000.9999837282-0.00002396970.00000006137-933.7782890.000000-131.637281-17024.63506435663.774408-16713.14625212591618.817586-9333167.0109345888473.05916780.00047946650.0041799981000000.99999114880.000000082680.000000-6797.151204796.4861091.750495-18175.34462116474.096488-8604013.3677835888473.059167-2127264.0152399-0.000172366500000000.99999998519

15 Interaccion

ai-i =a2-2 =-671340.308400aj-j =a9-9 =-2127264.015239ai-j =a2-9 =-6797.151204

Tang 2 =2 x ai-j=-0.0093372354ai-i - aj-j

=-0.2674843177

Cos =1Sen =-0.0046684651

Matriz de Transformacion1234567891000000001010000000.004668465120010000003[P14] =000100000400001000050000010006000000100700000001080-0.004668465100000019

Matriz Transpuesta10000000000.9999891027000000-0.0046684651001000000000100000[P14]T =00001000000000100000000010000000001000.00466846510000000.9999891027

[A](15) =[P14]T x [A](14) x [P14]12345678912345678921662.245657-19423.605539-7817.3625256.20713914.532579-10.8554817631.055513-933.778289-90.67941210.7121447714-0.6723132033-0.20203170810000.00357474640.0024688685-0.00301595371-19423.605539-671308.575791-8.304554158.897471142.668281-146.80849292800.371262-27490.1308740.00000020.69644907640.64034553620.3238554996000-0.0038936751-0.00301062530.00310950912-7817.362525-8.30455411583.985706-0.000000-0.0000000.000000-708.848029-131.637281796.4560193-0.0883635811-0.37132313250.92428394140-000.00214566120.0015945287-0.00174875913[A](15) =6.207139158.897471-0.000000121176.093892-49788.306869171.88418040407.785678-17024.6350642.4923294=-0001-0-0-0-00414.532579142.668281-0.000000-49788.306869103281.918699-48735.083587-16027.79022435663.774408-18174.8766375-0-0001-000-05-10.855481-146.8084920.000000171.884180-48735.08358744515.673360-6.844673-16713.14625216473.5906366-000001-0-0067631.05551392800.371262-708.84802940407.785678-16027.790224-6.844673-7592626.05041612591618.817586-8603673.88967170.00035561360.00569347300000.9999837282-0.00002396970.00002664147-933.778289-27490.130874-131.637281-17024.63506435663.774408-16713.14625212591618.817586-9333167.0109345888408.89045980.00047946650.0041799522000000.99999114880.00001959688-90.679412-0.000000796.4560192.492329-18174.87663716473.590636-8603673.8896715888408.890459-2127295.7478489-0.0001723665-0.0046684650000000.99998908789

16 Interaccion

ai-i =a3-3 =11583.985706aj-j =a4-4 =121176.093892ai-j =a3-4 =-0.000000

Tang 2 =2 x ai-j=0ai-i - aj-j

=0

Cos =1Sen =0

Matriz de Transformacion12345678910000000010100000002001-0000003[P15] =000100000400001000050000010006000000100700000001080000000019

Matriz Transpuesta10000000001000000000100000000-0100000[P15]T =000010000000001000000000100000000010000000001

[A](16) =[P15]T x [A](15) x [P15]12345678912345678921662.245657-19423.605539-7817.3625256.20713914.532579-10.8554817631.055513-933.778289-90.67941210.7121447714-0.6723132033-0.20203170810000.00357474640.0024688685-0.00301595371-19423.605539-671308.575791-8.304554158.897471142.668281-146.80849292800.371262-27490.1308740.00000020.69644907640.64034553620.3238554996000-0.0038936751-0.00301062530.00310950912-7817.362525-8.30455411583.9857060.000000-0.0000000.000000-708.848029-131.637281796.4560193-0.0883635811-0.37132313250.9242839414-0-000.00214566120.0015945287-0.00174875913[A](16) =6.207139158.8974710.000000121176.093892-49788.306869171.88418040407.785678-17024.6350642.4923294=-0001-0-0-0-00414.532579142.668281-0.000000-49788.306869103281.918699-48735.083587-16027.79022435663.774408-18174.8766375-0-0001-000-05-10.855481-146.8084920.000000171.884180-48735.08358744515.673360-6.844673-16713.14625216473.5906366-000001-0-0067631.05551392800.371262-708.84802940407.785678-16027.790224-6.844673-7592626.05041612591618.817586-8603673.88967170.00035561360.00569347300000.9999837282-0.00002396970.00002664147-933.778289-27490.130874-131.637281-17024.63506435663.774408-16713.14625212591618.817586-9333167.0109345888408.89045980.00047946650.0041799522000000.99999114880.00001959688-90.679412-0.000000796.4560192.492329-18174.87663716473.590636-8603673.8896715888408.890459-2127295.7478489-0.0001723665-0.0046684650000000.99998908789

17 Interaccion

ai-i =a3-3 =11583.985706aj-j =a5-5 =103281.918699ai-j =a3-5 =-0.000000

Tang 2 =2 x ai-j=0ai-i - aj-j

=0

Cos =1Sen =0

Matriz de Transformacion123456789100000000101000000020010-000003[P16] =000100000400001000050000010006000000100700000001080000000019

Matriz Transpuesta100000000010000000001000000000100000[P16]T =00-0010000000001000000000100000000010000000001

[A](17) =[P16]T x [A](16) x [P16]12345678912345678921662.245657-19423.605539-7817.3625256.20713914.532579-10.8554817631.055513-933.778289-90.67941210.7121447714-0.6723132033-0.20203170810000.00357474640.0024688685-0.00301595371-19423.605539-671308.575791-8.304554158.897471142.668281-146.80849292800.371262-27490.1308740.00000020.69644907640.64034553620.3238554996000-0.0038936751-0.00301062530.00310950912-7817.362525-8.30455411583.985706-0.0000000.0000000.000000-708.848029-131.637281796.4560193-0.0883635811-0.37132313250.9242839414-0-000.00214566120.0015945287-0.00174875913[A](17) =6.207139158.897471-0.000000121176.093892-49788.306869171.88418040407.785678-17024.6350642.4923294=-0001-0-0-0-00414.532579142.6682810.000000-49788.306869103281.918699-48735.083587-16027.79022435663.774408-18174.8766375-0-0001-000-05-10.855481-146.8084920.000000171.884180-48735.08358744515.673360-6.844673-16713.14625216473.5906366-000001-0-0067631.05551392800.371262-708.84802940407.785678-16027.790224-6.844673-7592626.05041612591618.817586-8603673.88967170.00035561360.00569347300000.9999837282-0.00002396970.00002664147-933.778289-27490.130874-131.637281-17024.63506435663.774408-16713.14625212591618.817586-9333167.0109345888408.89045980.00047946650.0041799522000000.99999114880.00001959688-90.679412-0.000000796.4560192.492329-18174.87663716473.590636-8603673.8896715888408.890459-2127295.7478489-0.0001723665-0.0046684650000000.99998908789

18 Interaccion

ai-i =a3-3 =11583.985706aj-j =a6-6 =44515.673360ai-j =a3-6 =0.000000

Tang 2 =2 x ai-j=-0ai-i - aj-j

=-0

Cos =1Sen =-0

Matriz de Transformacion123456789100000000101000000020010000003[P17] =0001000004000010000500-00010006000000100700000001080000000019

Matriz Transpuesta10000000001000000000100-0000000100000[P17]T =000010000000001000000000100000000010000000001

[A](18) =[P17]T x [A](17) x [P17]12345678912345678921662.245657-19423.605539-7817.3625256.20713914.532579-10.8554817631.055513-933.778289-90.67941210.7121447714-0.6723132033-0.20203170810000.00357474640.0024688685-0.00301595371-19423.605539-671308.575791-8.304554158.897471142.668281-146.80849292800.371262-27490.1308740.00000020.69644907640.64034553620.3238554996000-0.0038936751-0.00301062530.00310950912-7817.362525-8.30455411583.985706-0.0000000.0000000.000000-708.848029-131.637281796.4560193-0.0883635811-0.37132313250.9242839414-0-000.00214566120.0015945287-0.00174875913[A](18) =6.207139158.897471-0.000000121176.093892-49788.306869171.88418040407.785678-17024.6350642.4923294=-0001-00-0-00414.532579142.6682810.000000-49788.306869103281.918699-48735.083587-16027.79022435663.774408-18174.8766375-0-0001000-05-10.855481-146.808492-0.000000171.884180-48735.08358744515.673360-6.844673-16713.14625216473.5906366-00-0001-0-0067631.05551392800.371262-708.84802940407.785678-16027.790224-6.844673-7592626.05041612591618.817586-8603673.88967170.00035561360.00569347300000.9999837282-0.00002396970.00002664147-933.778289-27490.130874-131.637281-17024.63506435663.774408-16713.14625212591618.817586-9333167.0109345888408.89045980.00047946650.0041799522000000.99999114880.00001959688-90.679412-0.000000796.4560192.492329-18174.87663716473.590636-8603673.8896715888408.890459-2127295.7478489-0.0001723665-0.0046684650000000.99998908789

19 Interaccion

ai-i =a3-3 =11583.985706aj-j =a7-7 =-7592626.050416ai-j =a3-7 =-708.848029

Tang 2 =2 x ai-j=-0.0001864357ai-i - aj-j

=-0.0053409887

Cos =1Sen =-0.0000932178

Matriz de Transformacion123456789100000000101000000020010000.0000932178003[P18] =00010000040000100005000001000600-0.0000932178000100700000001080000000019

Matriz Transpuesta100000000010000000000.9999999957000-0.000093217800000100000[P18]T =000010000000001000000.00009321780000.999999995700000000010000000001

[A](19) =[P18]T x [A](18) x [P18]12345678912345678921662.245657-19423.605539-7818.0738416.20713914.532579-10.8554817630.326762-933.778289-90.67941210.7121447714-0.6723132033-0.20203204050000.00355591340.0024688685-0.00301595371-19423.605539-671308.575791-16.955204158.897471142.668281-146.80849292800.370084-27490.1308740.00000020.69644907640.64034553620.3238558612000-0.003863486-0.00301062530.00310950912-7818.073841-16.95520411584.051783-3.7667261.4940760.000638-0.000000-1305.4007641598.4718953-0.0883635811-0.37132313250.9242837373-0-000.0022318210.0015945287-0.00174875913[A](19) =6.207139158.897471-3.766726121176.093892-49788.306869171.88418040407.785503-17024.6350642.4923294=-0001-00-0-00414.532579142.6682811.494076-49788.306869103281.918699-48735.083587-16027.79015535663.774408-18174.8766375-0-0001000-05-10.855481-146.8084920.000638171.884180-48735.08358744515.673360-6.844673-16713.14625216473.5906366-00-0001-0-0067630.32676292800.3700840.00000040407.785503-16027.790155-6.844673-7592626.11649312591618.750607-8603673.77804670.00035561360.005693473-0.00009321630000.9999837238-0.00002396970.00002664147-933.778289-27490.130874-1305.400764-17024.63506435663.774408-16713.14625212591618.750607-9333167.0109345888408.89045980.00047946650.0041799522000000.99999114880.00001959688-90.679412-0.0000001598.4718952.492329-18174.87663716473.590636-8603673.7780465888408.890459-2127295.7478489-0.0001723665-0.0046684650000000.99998908789

20 Interaccion

ai-i =a3-3 =11584.051783aj-j =a8-8 =-9333167.010934ai-j =a3-8 =-1305.400764

Tang 2 =2 x ai-j=-0.000279387ai-i - aj-j

=-0.0080038464

Cos =1Sen =-0.0001396935

Matriz de Transformacion1234567891000000001010000000200100000.000139693503[P19] =000100000400001000050000010006000000100700-0.000139693500001080000000019

Matriz Transpuesta100000000010000000000.99999999020000-0.00013969350000100000[P19]T =000010000000001000000000100000.000139693500000.99999999020000000001

[A](20) =[P19]T x [A](19) x [P19]12345678912345678921662.245657-19423.605539-7817.9433226.20713914.532579-10.8554817630.326762-934.870414-90.67941210.7121447714-0.6723132033-0.20203238340000.00355591340.0024406459-0.00301595371-19423.605539-671308.575791-13.115012158.897471142.668281-146.80849292800.370084-27490.1329740.00000020.69644907640.64034553620.3238562786000-0.003863486-0.00296538470.00310950912-7817.943322-13.11501211584.234139-1.388496-3.4879212.335355-1758.966948-0.000000775.8995943-0.0883635811-0.37132313250.9242835056-0-000.0022318210.0017236451-0.00174875913[A](20) =6.207139158.897471-1.388496121176.093892-49788.306869171.88418040407.785503-17024.6354242.4923294=-0001-00-0-00414.532579142.668281-3.487921-49788.306869103281.918699-48735.083587-16027.79015535663.774268-18174.8766375-0-0001000-05-10.855481-146.8084922.335355171.884180-48735.08358744515.673360-6.844673-16713.14608916473.5906366-00-0001-0-0067630.32676292800.370084-1758.96694840407.785503-16027.790155-6.844673-7592626.11649312591618.627749-8603673.77804670.00035561360.005693473-0.0000932130000.9999837238-0.00002398270.00002664147-934.870414-27490.1329740.000000-17024.63542435663.774268-16713.14608912591618.627749-9333167.1932905888409.05630180.00047946650.0041799522-0.000139692200000.99999113910.00001959688-90.679412-0.000000775.8995942.492329-18174.87663716473.590636-8603673.7780465888409.056301-2127295.7478489-0.0001723665-0.0046684650000000.99998908789

21 Interaccion

ai-i =a3-3 =11584.234139aj-j =a9-9 =-2127295.747848ai-j =a3-9 =775.899594

Tang 2 =2 x ai-j=0.0007255195ai-i - aj-j

=0.0207845997

Cos =1Sen =0.0003627597

Matriz de Transformacion1234567891000000001010000000200100000-0.00036275973[P20] =00010000040000100005000001000600000010070000000108000.00036275970000019

Matriz Transpuesta100000000010000000000.9999999342000000.0003627597000100000[P20]T =00001000000000100000000010000000001000-0.0003627597000000.9999999342

[A](21) =[P20]T x [A](20) x [P20]12345678912345678921662.245657-19423.605539-7817.9757036.20713914.532579-10.8554817630.326762-934.870414-87.84337210.7121447714-0.6723132033-0.20203346420000.00355591340.0024406459-0.00294266431-19423.605539-671308.575791-13.115011158.897471142.668281-146.80849292800.370084-27490.1329740.00475820.69644907640.64034553620.3238573853000-0.003863486-0.00296538470.00299202692-7817.975703-13.11501111584.515604-1.387592-10.0810338.311310-4880.0328712136.0774480.0000003-0.0883635811-0.37132313250.9242828104-0-000.0022318210.0017236451-0.00208405173[A](21) =6.207139158.897471-1.387592121176.093892-49788.306869171.88418040407.785503-17024.6354242.4928334=-0001-00-0-00414.532579142.668281-10.081033-49788.306869103281.918699-48735.083587-16027.79015535663.774268-18174.8741765-0-0001000-05-10.855481-146.8084928.311310171.884180-48735.08358744515.673360-6.844673-16713.14608916473.5887056-00-0001-0-0067630.32676292800.370084-4880.03287140407.785503-16027.790155-6.844673-7592626.11649312591618.627749-8603672.57386570.00035561360.005693473-0.00009320330000.9999837238-0.00002398270.00002667527-934.870414-27490.1329742136.077448-17024.63542435663.774268-16713.14608912591618.627749-9333167.1932905888408.66886080.00047946650.0041799522-0.000139685100000.99999113910.00001964758-87.8433720.0047580.0000002.492833-18174.87417616473.588705-8603672.5738655888408.668860-2127296.0293139-0.0001723665-0.0046684650.0003627557000000.9999890229

22 Interaccion

ai-i =a4-4 =121176.093892aj-j =a5-5 =103281.918699ai-j =a4-5 =-49788.306869

Tang 2 =2 x ai-j=-5.5647501306ai-i - aj-j

=-39.9062664015

Cos =1Sen =-0.6415335321

Matriz de Transformacion123456789100000000101000000020010000003[P21] =00010.641533532100004000-0.64153353211000050000010006000000100700000001080000000019

Matriz Transpuesta1000000000100000000010000000000.7670949923-0.64153353210000[P21]T =0000.64153353210.76709499230000000001000000000100000000010000000001

[A](22) =[P21]T x [A](21) x [P21]12345678912345678921662.245657-19423.605539-7817.975703-4.56167115.129957-10.8554817630.326762-934.870414-87.84337210.7121447714-0.6723132033-0.20203346420000.00355591340.0024406459-0.00294266431-19423.605539-671308.575791-13.11501130.362968211.378179-146.80849292800.370084-27490.1329740.00475820.69644907640.64034553620.3238573853-000-0.003863486-0.00296538470.00299202692-7817.975703-13.11501111584.5156045.402906-8.6232978.311310-4880.0328712136.0774480.0000003-0.0883635811-0.37132313250.9242828104-0-000.0022318210.0017236451-0.00208405173[A](22) =-4.56167130.3629685.402906162814.8331380.00000031397.04180441278.974739-35939.01965311661.7034654=-0000.76709499230.64153353210-0-00415.129957211.378179-8.623297-0.00000061643.179453-37274.16910413628.11179116435.628152-13940.2557305-0-00-0.64153353210.7670949923000-05-10.855481-146.8084928.31131031397.041804-37274.16910444515.673360-6.844673-16713.14608916473.5887056-00-0001-0-0067630.32676292800.370084-4880.03287141278.97473913628.111791-6.844673-7592626.11649312591618.627749-8603672.57386570.00035561360.005693473-0.00009320330000.9999837238-0.00002398270.00002667527-934.870414-27490.1329742136.077448-35939.01965316435.628152-16713.14608912591618.627749-9333167.1932905888408.66886080.00047946650.0041799522-0.000139685100000.99999113910.00001964758-87.8433720.0047580.00000011661.703465-13940.25573016473.588705-8603672.5738655888408.668860-2127296.0293139-0.0001723665-0.0046684650.0003627557000000.9999890229

23 Interaccion

ai-i =a4-4 =162814.833138aj-j =a6-6 =44515.673360ai-j =a4-6 =31397.041804

Tang 2 =2 x ai-j=0.5308075199ai-i - aj-j

=13.9798493589

Cos =0.970381Sen =0.2415806325

Matriz de Transformacion123456789100000000101000000020010000003[P22] =0000.970380-0.2415806325000400001000050000.241580632500.9703810006000000100700000001080000000019

Matriz Transpuesta1000000000100000000010000000000.97038074900.2415806325000[P22]T =000010000000-0.241580632500.970380749000000000100000000010000000001

[A](23) =[P22]T x [A](22) x [P22]12345678912345678921662.245657-19423.605539-7817.975703-7.04903215.129957-9.4319387630.326762-934.870414-87.84337210.7121447714-0.6723132033-0.20203346420000.00355591340.0024406459-0.00294266431-19423.605539-671308.575791-13.115011-6.002449211.378179-149.79524092800.370084-27490.1329740.00475820.69644907640.64034553620.3238573853-000-0.003863486-0.00296538470.00299202692-7817.975703-13.11501111584.5156047.250727-8.6232976.759898-4880.0328712136.0774480.0000003-0.0883635811-0.37132313250.92428281040-000.0022318210.0017236451-0.00208405173[A](23) =-7.049032-6.0024497.250727170631.267279-9004.717346-0.00000040054.668884-38912.10521215295.9925214=-0000.74437421320.6415335321-0.1853152934-0-00415.129957211.378179-8.623297-9004.71734661643.179453-36170.13613313628.11179116435.628152-13940.2557305-0-00-0.62253178940.76709499230.154982076400-05-9.431938-149.7952406.7598980.000000-36170.13613336699.239219-9978.842763-7535.94412213168.4116486-00-00.241580632500.970380749-0-0067630.32676292800.370084-4880.03287140054.66888413628.111791-9978.842763-7592626.11649312591618.627749-8603672.57386570.00035561360.005693473-0.00009320330000.9999837238-0.00002398270.00002667527-934.870414-27490.1329742136.077448-38912.10521216435.628152-7535.94412212591618.627749-9333167.1932905888408.66886080.00047946650.0041799522-0.000139685100000.99999113910.00001964758-87.8433720.0047580.00000015295.992521-13940.25573013168.411648-8603672.5738655888408.668860-2127296.0293139-0.0001723665-0.0046684650.0003627557000000.9999890229

24 Interaccion

ai-i =a4-4 =170631.267279aj-j =a7-7 =-7592626.116493ai-j =a4-7 =40054.668884

Tang 2 =2 x ai-j=0.0103190367ai-i - aj-j

=0.2956081334

Cos =0.999987Sen =0.0051593123

Matriz de Transformacion123456789100000000101000000020010000003[P23] =0000.9999900-0.0051593123004000010000500000100060000.0051593123000.99998700700000001080000000019

Matriz Transpuesta1000000000100000000010000000000.9999866907000.005159312300[P23]T =000010000000001000000-0.0051593123000.999986690700000000010000000001

[A](24) =[P23]T x [A](23) x [P23]12345678912345678921662.245657-19423.605539-7817.97570332.31830115.129957-9.4319387630.261576-934.870414-87.84337210.7121447714-0.6723132033-0.20203346420.0000183461000.00355586610.0024406459-0.00294266431-19423.605539-671308.575791-13.115011472.783725211.378179-149.79524092799.165941-27490.1329740.00475820.69644907640.64034553620.3238573853-0.000019932900-0.0038634346-0.00296538470.00299202692-7817.975703-13.11501111584.515604-17.926983-8.6232976.759898-4880.0053302136.0774480.0000003-0.0883635811-0.37132313250.92428281040.0000115147-000.00223179130.0017236451-0.00208405173[A](24) =32.318301472.783725-17.926983170837.924577-8934.285814-51.4839670.00000026052.505976-29093.2450884=-0000.74436430610.6415335321-0.1853152934-0.0038404591-00415.129957211.378179-8.623297-8934.28581461643.179453-36170.13613313674.38855916435.628152-13940.2557305-0-00-0.62252350390.76709499230.15498207640.00321183590-05-9.431938-149.7952406.759898-51.483967-36170.13613336699.239219-9978.709951-7535.94412213168.4116486-00-00.241577417200.970380749-0.0012463899-0067630.26157692799.165941-4880.0053300.00000013674.388559-9978.709951-7592832.77379112591651.801314-8603636.98146170.00035561360.005693473-0.00009320330.0051592284000.9999704147-0.00002398270.00002667527-934.870414-27490.1329742136.07744826052.50597616435.628152-7535.94412212591651.801314-9333167.1932905888408.66886080.00047946650.0041799522-0.000139685100000.99999113910.00001964758-87.8433720.0047580.000000-29093.245088-13940.25573013168.411648-8603636.9814615888408.668860-2127296.0293139-0.0001723665-0.0046684650.0003627557000000.9999890229

25 Interaccion

ai-i =a4-4 =170837.924577aj-j =a8-8 =-9333167.193290ai-j =a4-8 =26052.505976

Tang 2 =2 x ai-j=0.0054824268ai-i - aj-j

=0.1570583838

Cos =0.999996Sen =0.0027411825

Matriz de Transformacion123456789100000000101000000020010000003[P24] =0000.999996000-0.0027411825040000100005000001000600000010070000.00274118250000.999996080000000019

Matriz Transpuesta1000000000100000000010000000000.9999962430000.00274118250[P24]T =000010000000001000000000100000-0.00274118250000.9999962430000000001

[A](25) =[P24]T x [A](24) x [P24]12345678912345678921662.245657-19423.605539-7817.97570329.75552915.129957-9.4319387630.261576-934.955492-87.84337210.7121447714-0.6723132033-0.20203346420.0000250363000.00355586610.0024405864-0.00294266431-19423.605539-671308.575791-13.115011397.426478211.378179-149.79524092799.165941-27491.3256790.00475820.69644907640.64034553620.3238573853-0.000028061500-0.0038634346-0.00296531890.00299202692-7817.975703-13.11501111584.515604-12.071537-8.6232976.759898-4880.0053302136.1185640.0000003-0.0883635811-0.37132313250.92428281040.0000162394-000.00223179130.001723607-0.00208405173[A](25) =29.755529397.426478-12.071537170909.339518-8889.199192-72.14117134516.0153320.000000-12951.9330964=-0000.74436150940.6415335321-0.1853152934-0.0038404591-0.00204043840415.129957211.378179-8.623297-8889.19919261643.179453-36170.13613313674.38855916460.056910-13940.2557305-0-00-0.6225211650.76709499230.15498207640.00321183590.0017064505-05-9.431938-149.7952406.759898-72.141171-36170.13613336699.239219-9978.709951-7535.77468213168.4116486-00-00.241576509600.970380749-0.0012463899-0.0006622078067630.26157692799.165941-4880.00533034516.01533213674.388559-9978.709951-7592832.77379112591604.493877-8603636.98146170.00035561360.005693473-0.00009320330.0051591432000.9999704147-0.0000381250.00002667527-934.955492-27491.3256792136.1185640.00000016460.056910-7535.77468212591604.493877-9333238.6082325888466.29572180.00047946650.0041799522-0.00013968510.00274115820000.99998738210.00001964758-87.8433720.0047580.000000-12951.933096-13940.25573013168.411648-8603636.9814615888466.295721-2127296.0293139-0.0001723665-0.0046684650.0003627557000000.9999890229

26 Interaccion

ai-i =a4-4 =170909.339518aj-j =a9-9 =-2127296.029313ai-j =a4-9 =-12951.933096

Tang 2 =2 x ai-j=-0.0112713453ai-i - aj-j

=-0.3228865834

Cos =0.999984Sen =-0.0056354042

Matriz de Transformacion123456789100000000101000000020010000003[P25] =0000.99998400000.005635404240000100005000001000600000010070000000108000-0.005635404200000.9999849

Matriz Transpuesta1000000000100000000010000000000.9999841210000-0.0056354042[P25]T =0000100000000010000000001000000000100000.005635404200000.999984121

[A](26) =[P25]T x [A](25) x [P25]12345678912345678921662.245657-19423.605539-7817.97570330.25008915.129957-9.4319387630.261576-934.955492-87.67429210.7121447714-0.6723132033-0.20203346420.000041619000.00355586610.0024405864-0.00294247651-19423.605539-671308.575791-13.115011397.420141211.378179-149.79524092799.165941-27491.3256792.24441620.69644907640.64034553620.3238573853-0.000044922400-0.0038634346-0.00296531890.00299182132-7817.975703-13.11501111584.515604-12.071346-8.6232976.759898-4880.0053302136.118564-0.0680283-0.0883635811-0.37132313250.92428281040.0000279837-000.00223179130.001723607-0.00208392713[A](26) =30.250089397.420141-12.071346170982.330055-8810.499065-146.34934783000.438906-33183.8874720.0000004=-0000.74434968970.6415335321-0.1853152934-0.0038404591-0.00204043840.0041947779415.129957211.378179-8.623297-8810.49906561643.179453-36170.13613313674.38855916460.056910-13990.1286035-0-00-0.622511280.76709499230.15498207640.00321183590.0017064505-0.00350815845-9.431938-149.7952406.759898-146.349347-36170.13613336699.239219-9978.709951-7535.77468213167.7960026-00-00.241572673600.970380749-0.0012463899-0.00066220780.001361381367630.26157692799.165941-4880.00533083000.43890613674.388559-9978.709951-7592832.77379112591604.493877-8603305.85247470.00035561360.005693473-0.00009320330.005158911000.9999704147-0.0000381250.00005574867-934.955492-27491.3256792136.118564-33183.88747216460.056910-7535.77468212591604.493877-9333238.6082325888372.79267080.00047946650.0041799522-0.00013968510.00274100390000.99998738210.00003509478-87.6742922.244416-0.0680280.000000-13990.12860313167.796002-8603305.8524745888372.792670-2127369.0198509-0.0001723665-0.0046684650.0003627557-0.005635342300000.99997314329

27 Interaccion

ai-i =a5-5 =61643.179453aj-j =a6-6 =36699.239219ai-j =a5-6 =-36170.136133

Tang 2 =2 x ai-j=-2.9001140794ai-i - aj-j

=-35.4875442733

Cos =0.814242Sen =-0.5805259586

Matriz de Transformacion123456789100000000101000000020010000003[P26] =000100000400000.8142420.580525958600050000-0.58052595860.8142420006000000100700000001080000000019

Matriz Transpuesta100000000010000000001000000000100000[P26]T =00000.8142417401-0.580525958600000000.58052595860.8142417401000000000100000000010000000001

[A](27) =[P26]T x [A](26) x [P26]12345678912345678921662.245657-19423.605539-7817.97570330.25008917.7949271.1034557630.261576-934.955492-87.67429210.7121447714-0.6723132033-0.20203346420.000041619000.00355586610.0024405864-0.00294247651-19423.605539-671308.575791-13.115011397.420141259.0729620.74098392799.165941-27491.3256792.24441620.69644907640.64034553620.3238573853-0.000044922400-0.0038634346-0.00296531890.00299182132-7817.975703-13.11501111584.515604-12.071346-10.9457440.498143-4880.0053302136.118564-0.0680283-0.0883635811-0.37132313250.92428281040.0000279837-0-00.00223179130.001723607-0.00208392713[A](27) =30.250089397.420141-12.071346170982.330055-7088.916495-5233.88716383000.438906-33183.8874720.0000004=-0000.74434968970.62994371790.2215354217-0.0038404591-0.00204043840.0041947779417.794927259.072962-10.945744-7088.91649587431.2248410.00000016927.15809617777.178203-19035.5940555-0-00-0.622511280.53462964290.57151143140.00321183590.0017064505-0.003508158451.1034550.7409830.498143-5233.8871630.00000010911.193831-186.7446283419.5480262600.1363126-00-00.2415726736-0.56333121450.7901245097-0.0012463899-0.00066220780.001361381367630.26157692799.165941-4880.00533083000.43890616927.158096-186.744628-7592832.77379112591604.493877-8603305.85247470.00035561360.005693473-0.00009320330.005158911000.9999704147-0.0000381250.00005574867-934.955492-27491.3256792136.118564-33183.88747217777.1782033419.54802612591604.493877-9333238.6082325888372.79267080.00047946650.0041799522-0.00013968510.00274100390000.99998738210.00003509478-87.6742922.244416-0.0680280.000000-19035.5940552600.136312-8603305.8524745888372.792670-2127369.0198509-0.0001723665-0.0046684650.0003627557-0.005635342300000.99997314329

28 Interaccion

ai-i =a5-5 =87431.224841aj-j =a7-7 =-7592832.773791ai-j =a5-7 =16927.158096

Tang 2 =2 x ai-j=0.0044079626ai-i - aj-j

=0.1262780077

Cos =0.999998Sen =0.0022039652

Matriz de Transformacion123456789100000000101000000020010000003[P27] =000100000400000.9999980-0.0022039652005000001000600000.002203965200.99999800700000001080000000019

Matriz Transpuesta100000000010000000001000000000100000[P27]T =00000.999997571300.0022039652000000010000000-0.002203965200.999997571300000000010000000001

[A](28) =[P27]T x [A](27) x [P27]12345678912345678921662.245657-19423.605539-7817.97570330.25008934.6117151.1034557630.203824-934.955492-87.67429210.7121447714-0.6723132033-0.20203346420.0000416190.00000783700.00355585750.0024405864-0.00294247651-19423.605539-671308.575791-13.115011397.420141463.5984670.74098392798.369569-27491.3256792.24441620.69644907640.64034553620.3238573853-0.0000449224-0.00000851490-0.0038634252-0.00296531890.00299182132-7817.975703-13.11501111584.515604-12.071346-21.7010800.498143-4879.9693532136.118564-0.0680283-0.0883635811-0.37132313250.92428281040.00002798370.0000049188-00.00223178590.001723607-0.00208392713[A](28) =30.250089397.420141-12.071346170982.330055-6905.969197-5233.88716383015.861046-33183.8874720.0000004=-0000.74434968970.62993372370.2215354217-0.0052288238-0.00204043840.0041947779434.611715463.598467-21.701080-6905.96919787468.531800-0.411579-0.00000045528.593441-37996.9347305-0-00-0.622511280.53463542320.57151143140.0020335230.0017064505-0.003508158451.1034550.7409830.498143-5233.887163-0.41157910911.193831-186.7441743419.5480262600.1363126-00-00.2415726736-0.56333259340.7901245097-0.0000048245-0.00066220780.001361381367630.20382492798.369569-4879.96935383015.8610460.000000-186.744174-7592870.08074912591534.731933-8603243.00354370.00035561360.005693473-0.00009320330.0051589110.002203900.999967986-0.0000381250.00005574867-934.955492-27491.3256792136.118564-33183.88747245528.5934413419.54802612591534.731933-9333238.6082325888372.79267080.00047946650.0041799522-0.00013968510.00274100390000.99998738210.00003509478-87.6742922.244416-0.0680280.000000-37996.9347302600.136312-8603243.0035435888372.792670-2127369.0198509-0.0001723665-0.0046684650.0003627557-0.005635342300000.99997314329

29 Interaccion

ai-i =a5-5 =87468.531800aj-j =a8-8 =-9333238.608232ai-j =a5-8 =45528.593441

Tang 2 =2 x ai-j=0.0096656425ai-i - aj-j

=0.2768916368

Cos =0.999988Sen =0.0048326519

Matriz de Transformacion123456789100000000101000000020010000003[P28] =000100000400000.99998800-0.0048326519050000010006000000100700000.0048326519000.999988080000000019

Matriz Transpuesta100000000010000000001000000000100000[P28]T =00000.9999883227000.004832651900000010000000001000000-0.0048326519000.99998832270000000001

[A](29) =[P28]T x [A](28) x [P28]12345678912345678921662.245657-19423.605539-7817.97570330.25008930.0929961.1034557630.203824-935.111841-87.67429210.7121447714-0.6723132033-0.20203346420.0000416190.000019631400.00355585750.0024405201-0.00294247651-19423.605539-671308.575791-13.115011397.420141330.7370460.74098392798.369569-27493.2450642.24441620.69644907640.64034553620.3238573853-0.0000449224-0.00002284510-0.0038634252-0.00296524310.00299182132-7817.975703-13.11501111584.515604-12.071346-11.3777090.498143-4879.9693532136.198493-0.0680283-0.0883635811-0.37132313250.92428281040.00002798370.0000132483-00.00223178590.0017235631-0.00208392713[A](29) =30.250089397.420141-12.071346170982.330055-7066.254731-5233.88716383015.861046-33150.1258270.0000004=-0000.74434968970.6299165070.2215354217-0.0052288238-0.0050846650.0041947779430.092996330.737046-11.377709-7066.25473187688.55821416.11391160850.5045370.000000-9540.0349275-0-00-0.622511280.53463742680.57151143140.002033523-0.0008772763-0.003508158451.1034550.7409830.498143-5233.88716316.11391110911.193831-186.7441743419.5100842600.1363126-00-00.2415726736-0.56332921540.7901245097-0.00000482450.00206019030.001361381367630.20382492798.369569-4879.96935383015.86104660850.504537-186.744174-7592870.08074912591387.696421-8603243.00354370.00035561360.005693473-0.00009320330.0051589110.0022036900.999967986-0.00004877520.00005574867-935.111841-27493.2450642136.198493-33150.1258270.0000003419.51008412591387.696421-9333458.6346455888487.65815480.00047946650.0041799522-0.00013968510.00274100390.0048325909000.99997570490.00003509478-87.6742922.244416-0.0680280.000000-9540.0349272600.136312-8603243.0035435888487.658154-2127369.0198509-0.0001723665-0.0046684650.0003627557-0.005635342300000.99997314329

30 Interaccion

ai-i =a5-5 =87688.558214aj-j =a9-9 =-2127369.019850ai-j =a5-9 =-9540.034927

Tang 2 =2 x ai-j=-0.0086138031ai-i - aj-j

=-0.2467611789

Cos =0.999991Sen =-0.0043067817

Matriz de Transformacion123456789100000000101000000020010000003[P29] =000100000400000.9999910000.004306781750000010006000000100700000001080000-0.00430678170000.9999919

Matriz Transpuesta100000000010000000001000000000100000[P29]T =00000.9999907258000-0.004306781700000100000000010000000001000000.00430678170000.9999907258

[A](30) =[P29]T x [A](29) x [P29]12345678912345678921662.245657-19423.605539-7817.97570330.25008930.4703111.1034557630.203824-935.111841-87.54387510.7121447714-0.6723132033-0.20203346420.0000416190.000032303800.00355585750.0024405201-0.00294236461-19423.605539-671308.575791-13.115011397.420141330.7243120.74098392798.369569-27493.2450643.66880820.69644907640.64034553620.3238573853-0.0000449224-0.000035730-0.0038634252-0.00296524310.00299169522-7817.975703-13.11501111584.515604-12.071346-11.3773100.498143-4879.9693532136.198493-0.1170293-0.0883635811-0.37132313250.92428281040.00002798370.0000222232-00.00223178590.0017235631-0.00208385073[A](30) =30.250089397.420141-12.071346170982.330055-7066.189197-5233.88716383015.861046-33150.125827-30.4328174=-0000.74434968970.6298925990.2215354217-0.0052288238-0.0050846650.0069076519430.470311330.724312-11.377310-7066.18919787729.6454434.91554297902.229936-25360.4310320.0000005-0-00-0.622511280.53464757730.57151143140.002033523-0.0008772763-0.001205559151.1034550.7409830.498143-5233.8871634.91554210911.193831-186.7441743419.5100842600.1815976-00-00.2415726736-0.56332985410.7901245097-0.00000482450.0020601903-0.001064767367630.20382492798.369569-4879.96935383015.86104697902.229936-186.744174-7592870.08074912591387.696421-8602901.14527070.00035561360.005693473-0.00009320330.0051589110.002203429500.999967986-0.00004877520.00006523897-935.111841-27493.2450642136.198493-33150.125827-25360.4310323419.51008412591387.696421-9333458.6346455888433.04698080.00047946650.0041799522-0.00013968510.00274100390.004832395000.99997570490.00005590738-87.5438753.668808-0.117029-30.432817-0.0000002600.181597-8602901.1452705888433.046980-2127410.1070799-0.0001723665-0.0046684650.0003627557-0.0056353423-0.00430666610000.99996386929

31 Interaccion

ai-i =a6-6 =10911.193831aj-j =a7-7 =-7592870.080749ai-j =a6-7 =-186.744174

Tang 2 =2 x ai-j=-0.0000491188ai-i - aj-j

=-0.001407149

Cos =1.000000Sen =-0.0000245594

Matriz de Transformacion123456789100000000101000000020010000003[P30] =00010000040000100005000001.0000000.000024559400600000-0.00002455941.00000000700000001080000000019

Matriz Transpuesta100000000010000000001000000000100000[P30]T =000010000000000.9999999997-0.000024559400000000.00002455940.999999999700000000010000000001

[A](31) =[P30]T x [A](30) x [P30]12345678912345678921662.245657-19423.605539-7817.97570330.25008930.4703110.9160627630.203849-935.111841-87.54387510.7121447714-0.6723132033-0.20203346420.0000416190.0000323038-0.00000008730.00355585750.0024405201-0.00294236461-19423.605539-671308.575791-13.115011397.420141330.724312-1.53808792798.369559-27493.2450643.66880820.69644907640.64034553620.3238573853-0.0000449224-0.000035730.0000000949-0.0038634252-0.00296524310.00299169522-7817.975703-13.11501111584.515604-12.071346-11.3773100.617992-4879.9693402136.198493-0.1170293-0.0883635811-0.37132313250.92428281040.00002798370.0000222232-0.00000005480.00223178590.0017235631-0.00208385073[A](31) =30.250089397.420141-12.071346170982.330055-7066.189197-5235.92598083015.732480-33150.125827-30.4328174=-0000.74434968970.6298925990.2215355501-0.005223383-0.0050846650.0069076519430.470311330.724312-11.377310-7066.18919787729.6454432.51112497902.230028-25360.4310320.0000005-0-00-0.622511280.53464757730.57151138120.002047559-0.0008772763-0.001205559150.916062-1.5380870.617992-5235.9259802.51112410911.198417-0.0000003110.2733742811.4635376-00-00.2415726736-0.56332985410.79012450950.00001458050.0020601903-0.001064767367630.20384992798.369559-4879.96934083015.73248097902.230028-0.000000-7592870.08533612591387.776604-8602901.07881670.00035561360.005693473-0.00009320330.0051589110.0022034295-0.00002455860.9999679857-0.00004877520.00006523897-935.111841-27493.2450642136.198493-33150.125827-25360.4310323110.27337412591387.776604-9333458.6346455888433.04698080.00047946650.0041799522-0.00013968510.00274100390.004832395000.99997570490.00005590738-87.5438753.668808-0.117029-30.432817-0.0000002811.463537-8602901.0788165888433.046980-2127410.1070799-0.0001723665-0.0046684650.0003627557-0.0056353423-0.00430666610000.99996386929

32 Interaccion

ai-i =a6-6 =10911.198417aj-j =a8-8 =-9333458.634645ai-j =a6-8 =3110.273374

Tang 2 =2 x ai-j=0.0006657ai-i - aj-j

=0.0190708966

Cos =1.000000Sen =0.0003328499

Matriz de Transformacion123456789100000000101000000020010000003[P31] =00010000040000100005000001.0000000-0.0003328499060000001007000000.000332849901.000000080000000019

Matriz Transpuesta100000000010000000001000000000100000[P31]T =000010000000000.999999944600.0003328499000000010000000-0.000332849900.99999994460000000001

[A](32) =[P31]T x [A](31) x [P31]12345678912345678921662.245657-19423.605539-7817.97570330.25008930.4703110.6048107630.203849-935.112094-87.54387510.7121447714-0.6723132033-0.20203346420.0000416190.00003230380.0000007250.00355585750.0024405199-0.00294236461-19423.605539-671308.575791-13.115011397.420141330.724312-10.68921292798.369559-27493.2430293.66880820.69644907640.64034553620.3238573853-0.0000449224-0.00003573-0.0000008921-0.0038634252-0.0029652430.00299169522-7817.975703-13.11501111584.515604-12.071346-11.3773101.329026-4879.9693402136.198169-0.1170293-0.0883635811-0.37132313250.92428281040.00002798370.00002222320.00000051890.00223178590.0017235631-0.00208385073[A](32) =30.250089397.420141-12.071346170982.330055-7066.189197-5246.95970783015.732480-33148.381213-30.4328174=-0000.74434968970.6298925990.2215338454-0.005223383-0.00515840280.0069076519430.470311330.724312-11.377310-7066.18919787729.645443-5.93009497902.230028-25360.4304630.0000005-0-00-0.622511280.53464757730.57151105760.002047559-0.0010675038-0.001205559150.604810-10.6892121.329026-5246.959707-5.93009410912.2336714191.0425560.0000004771.4279176-00-00.2415726736-0.56332985410.79012515150.00001458050.0017971973-0.001064767367630.20384992798.369559-4879.96934083015.73248097902.2300284191.042556-7592870.08533612591387.079110-8602901.07881670.00035561360.005693473-0.00009320330.0051589110.0022034295-0.00002457480.9999679857-0.00004876710.00006523897-935.112094-27493.2430292136.198169-33148.381213-25360.430463-0.00000012591387.079110-9333459.6699005888431.78499880.00047946650.0041799522-0.00013968510.00274100390.0048323950.000332841800.99997564950.00005590738-87.5438753.668808-0.117029-30.432817-0.0000004771.427917-8602901.0788165888431.784998-2127410.1070799-0.0001723665-0.0046684650.0003627557-0.0056353423-0.00430666610000.9999638692933 Interaccion

ai-i =a6-6 =10912.233671aj-j =a9-9 =-2127410.107079ai-j =a6-9 =4771.427917

Tang 2 =2 x ai-j=0.004462777ai-i - aj-j

=0.1278482957

Cos =0.999998Sen =0.0022313719

Matriz de Transformacion123456789100000000101000000020010000003[P32] =00010000040000100005000000.99999800-0.0022313719600000010070000000108000000.0022313719000.9999989

Matriz Transpuesta100000000010000000001000000000100000[P32]T =000010000000000.9999975105000.002231371900000010000000001000000-0.0022313719000.9999975105

[A](33) =[P32]T x [A](32) x [P32]12345678912345678921662.245657-19423.605539-7817.97570330.25008930.4703110.4094667630.203849-935.112094-87.54500710.7121447714-0.6723132033-0.20203346420.0000416190.0000323038-0.00000584050.00355585750.0024405199-0.00294235891-19423.605539-671308.575791-13.115011397.420141330.724312-10.68099992798.369559-27493.2430293.69265020.69644907640.64034553620.3238573853-0.0000449224-0.000035730.0000057835-0.0038634252-0.0029652430.00299168972-7817.975703-13.11501111584.515604-12.071346-11.3773101.328761-4879.9693402136.198169-0.1199943-0.0883635811-0.37132313250.92428281040.00002798370.0000222232-0.0000041310.00223178590.0017235631-0.00208384673[A](33) =30.250089397.420141-12.071346170982.330055-7066.189197-5247.01455183015.732480-33148.381213-18.7248234=-0000.74434968970.6298925990.2215487074-0.005223383-0.00515840280.0064133104430.470311330.724312-11.377310-7066.18919787729.645443-5.93007997902.230028-25360.4304630.0132325-0-00-0.622511280.53464757730.57150694470.002047559-0.0010675038-0.002480809850.409466-10.6809991.328761-5247.014551-5.93007910922.880528-15005.23918813139.280936-0.0000006-00-00.2415726736-0.56332985410.79012080860.00001458050.0017971973-0.002827827767630.20384992798.369559-4879.96934083015.73248097902.230028-15005.239188-7592870.08533612591387.079110-8602889.01355470.00035561360.005693473-0.00009320330.0051589110.0022034295-0.00002442920.9999679857-0.00004876710.00006529367-935.112094-27493.2430292136.198169-33148.381213-25360.43046313139.28093612591387.079110-9333459.6699005888417.12566980.00047946650.0041799522-0.00013968510.00274100390.0048323950.000332965800.99997564950.00005516458-87.5450073.692650-0.119994-18.7248230.013232-0.000000-8602889.0135545888417.125669-2127420.7539359-0.0001723665-0.0046684650.0003627557-0.0056353423-0.00430666610.0022312912000.9999613798934 Interaccion

ai-i =a7-7 =-7592870.085336aj-j =a8-8 =-9333459.669900ai-j =a7-8 =12591387.079110

Tang 2 =2 x ai-j=14.4679563646ai-i - aj-j

=43.0230518274

Cos =0.731079Sen =0.6822925506

Matriz de Transformacion123456789100000000101000000020010000003[P33] =0001000004000010000500000100060000000.731079-0.6822925506070000000.68229255060.731079080000000019

Matriz Transpuesta100000000010000000001000000000100000[P33]T =0000100000000010000000000.73107925380.68229255060000000-0.68229255060.73107925380000000001

[A](34) =[P33]T x [A](33) x [P33]12345678912345678921662.245657-19423.605539-7817.97570330.25008930.4703110.4094664940.263721-5889.672298-87.54500710.7121447714-0.6723132033-0.20203346420.0000416190.0000323038-0.00000584050.0042647622-0.0006419216-0.00294235891-19423.605539-671308.575791-13.115011397.420141330.724312-10.68099949084.527864-83415.3758573.69265020.69644907640.64034553620.3238573853-0.0000449224-0.000035730.0000057835-0.00484763320.00046815860.00299168972-7817.975703-13.11501111584.515604-12.071346-11.3773101.328761-2110.1322464891.296891-0.1199943-0.0883635811-0.37132313250.92428281040.00002798370.0000222232-0.0000041310.0028075866-0.0002626697-0.00208384673[A](34) =30.250089397.420141-12.071346170982.330055-7066.189197-5247.01455138074.186192-80875.109657-18.7248234=-0000.74434968970.6298925990.2215487074-0.0073382468-0.0002073260.0064133104430.470311330.724312-11.377310-7066.18919787729.645443-5.93007954271.056493-85338.4468150.0132325-0-00-0.622511280.53464757730.57150694470.000768578-0.0021774641-0.002480809850.409466-10.6809991.328761-5247.014551-5.93007910922.880528-2005.18556619843.818621-0.0000006-00-00.2415726736-0.56332985410.79012080860.00123687380.0013039455-0.002827827764940.26372149084.527864-2110.13224638074.18619254271.056493-2005.1855664158262.9972880.000000-2271770.54121670.00035561360.005693473-0.00009320330.0051589110.0022034295-0.00002442920.7310225755-0.68230636010.00006529367-5889.672298-83415.3758574891.296891-80875.109657-85338.44681519843.8186210.000000-21084592.75252410174586.68612580.00047946650.0041799522-0.00013968510.00274100390.0048323950.00033296580.68227593640.73106145170.00005516458-87.5450073.692650-0.119994-18.7248230.013232-0.000000-2271770.54121610174586.686125-2127420.7539359-0.0001723665-0.0046684650.0003627557-0.0056353423-0.00430666610.0022312912000.9999613798935 Interaccion

ai-i =a7-7 =4158262.997288aj-j =a9-9 =-2127420.753935ai-j =a7-9 =-2271770.541216

Tang 2 =2 x ai-j=-0.7228395927ai-i - aj-j

=-17.9304465621

Cos =0.951431Sen =-0.3078622448

Matriz de Transformacion123456789100000000101000000020010000003[P34] =0001000004000010000500000100060000000.95143100.307862244870000000108000000-0.307862244800.9514319

Matriz Transpuesta100000000010000000001000000000100000[P34]T =0000100000000010000000000.95143094250-0.30786224480000000100000000.307862244800.9514309425

[A](35) =[P34]T x [A](34) x [P34]12345678912345678921662.245657-19423.605539-7817.97570330.25008930.4703110.4094664727.271570-5889.6722981437.62765010.7121447714-0.6723132033-0.20203346420.0000416190.0000323038-0.00000584050.004963468-0.0006419216-0.00148649211-19423.605539-671308.575791-13.115011397.420141330.724312-10.68099946699.401778-83415.37585715114.78623320.69644907640.64034553620.3238573853-0.0000449224-0.000035730.0000057835-0.00553321650.00046815860.00135398292-7817.975703-13.11501111584.515604-12.071346-11.3773101.328761-2007.6081704891.296891-649.7442163-0.0883635811-0.37132313250.92428281040.00002798370.0000222232-0.0000041310.0033127625-0.0002626697-0.00111828633[A](35) =30.250089397.420141-12.071346170982.330055-7066.189197-5247.01455136230.723518-80875.10965711703.7890524=-0000.74434968970.6298925990.2215487074-0.0089562511-0.0002073260.0038426528430.470311330.724312-11.377310-7066.18919787729.645443-5.93007951635.158353-85338.44681516708.0218665-0-00-0.622511280.53464757730.57150694470.0014949966-0.0021774641-0.002123703150.409466-10.6809991.328761-5247.014551-5.93007910922.880528-1907.79559319843.818621-617.3209306-00-00.2415726736-0.56332985410.79012080860.00204738140.0013039455-0.00230969664727.27157046699.401778-2007.60817036230.72351851635.158353-1907.7955934893358.259774-3132371.0966100.00000070.00035561360.005693473-0.00009320330.0051589110.0022034295-0.00002442920.6954973965-0.68230636010.22511637347-5889.672298-83415.3758574891.296891-80875.109657-85338.44681519843.818621-3132371.096610-21084592.7525249680416.59984780.00047946650.0041799522-0.00013968510.00274100390.0048323950.00033296580.64912145410.73106145170.210099486581437.62765015114.786233-649.74421611703.78905216708.021866-617.3209300.0000009680416.599847-2862516.0164219-0.0001723665-0.0046684650.0003627557-0.0056353423-0.00430666610.0022312912-0.30785035500.951394198936 Interaccion

ai-i =a8-8 =-21084592.752524aj-j =a9-9 =-2862516.016421ai-j =a8-9 =9680416.599847

Tang 2 =2 x ai-j=-1.0624932317ai-i - aj-j

=-23.3677612157

Cos =0.917978Sen =-0.3966314321

Matriz de Transformacion123456789100000000101000000020010000003[P35] =000100000400001000050000010006000000100700000000.9179780.396631432180000000-0.39663143210.9179789

Matriz Transpuesta100000000010000000001000000000100000[P35]T =00001000000000100000000010000000000.9179779448-0.396631432100000000.39663143210.9179779448

[A](36) =[P35]T x [A](35) x [P35]12345678912345678921662.245657-19423.605539-7817.97570330.25008930.4703110.4094664727.271570-5976.797585-1016.31868210.7121447714-0.6723132033-0.20203346420.0000416190.0000323038-0.00000584050.0049634680.0000003196-0.00161917321-19423.605539-671308.575791-13.115011397.420141330.724312-10.68099946699.401778-82568.474600-19210.11958520.69644907640.64034553620.3238573853-0.0000449224-0.000035730.0000057835-0.0055332165-0.00010727290.00142861282-7817.975703-13.11501111584.515604-12.071346-11.3773101.328761-2007.6081704747.8116461343.5912313-0.0883635811-0.37132313250.92428281040.00002798370.0000222232-0.0000041310.00331276250.0002024226-0.00113074523[A](36) =30.250089397.420141-12.071346170982.330055-7066.189197-5247.01455136230.723518-78883.657558-21333.7903454=-0000.74434968970.6298925990.2215487074-0.0089562511-0.00171443750.0034452385430.470311330.724312-11.377310-7066.18919787729.645443-5.93007951635.158353-84965.738657-18510.3148005-0-00-0.622511280.53464757730.57150694470.0014949966-0.0011565366-0.002813163350.409466-10.6809991.328761-5247.014551-5.93007910922.880528-1907.79559318461.0367187303.9952006-00-00.2415726736-0.56332985410.79012080860.00204738140.0021130913-0.001603064264727.27157046699.401778-2007.60817036230.72351851635.158353-1907.7955934893358.259774-2875447.581490-1242396.83394070.00035561360.005693473-0.00009320330.0051589110.0022034295-0.00002442920.6954973965-0.7156304197-0.0639722837-5976.797585-82568.4746004747.811646-78883.657558-84965.73865718461.036718-2875447.581490-25267217.7505540.00000080.00047946650.0041799522-0.00013968510.00274100390.0048323950.00033296580.64912145410.58776622870.48282864548-1016.318682-19210.1195851343.591231-21333.790345-18510.3148007303.995200-1242396.833940-0.0000001320108.9816099-0.0001723665-0.0046684650.0003627557-0.0056353423-0.00430666610.0022312912-0.307850355-0.37735284320.87335889059

Interaccion02

EL METODO DE JACOBI12345678912345678921662.245657-19423.605539-7817.97570330.25008930.4703110.4094664727.271570-5976.797585-1016.31868210.712145-0.672313-0.2020330.0000420.000032-0.0000060.0049630.000000-0.0016191-19423.605539-671308.575791-13.115011397.420141330.724312-10.68099946699.401778-82568.474600-19210.11958520.6964490.6403460.323857-0.000045-0.0000360.000006-0.005533-0.0001070.0014292-7817.975703-13.11501111584.515604-12.071346-11.3773101.328761-2007.6081704747.8116461343.5912313-0.088364-0.3713230.9242830.0000280.000022-0.0000040.0033130.000202-0.0011313[A]0 =30.250089397.420141-12.071346170982.330055-7066.189197-5247.01455136230.723518-78883.657558-21333.7903454=-0.0000000.0000000.0000000.7443500.6298930.221549-0.008956-0.0017140.003445430.470311330.724312-11.377310-7066.18919787729.645443-5.93007951635.158353-84965.738657-18510.3148005-0.000000-0.0000000.000000-0.6225110.5346480.5715070.001495-0.001157-0.00281350.409466-10.6809991.328761-5247.014551-5.93007910922.880528-1907.79559318461.0367187303.9952006-0.0000000.000000-0.0000000.241573-0.5633300.7901210.0020470.002113-0.00160364727.27157046699.401778-2007.60817036230.72351851635.158353-1907.7955934893358.259774-2875447.581490-1242396.83394070.0003560.005693-0.0000930.0051590.002203-0.0000240.695497-0.715630-0.0639727-5976.797585-82568.4746004747.811646-78883.657558-84965.73865718461.036718-2875447.581490-25267217.7505540.00000080.0004790.004180-0.0001400.0027410.0048320.0003330.6491210.5877660.4828298-1016.318682-19210.1195851343.591231-21333.790345-18510.3148007303.995200-1242396.833940-0.0000001320108.9816099-0.000172-0.0046680.000363-0.005635-0.0043070.002231-0.307850-0.3773530.8733599

a1-1a1-2a1-3a1-4a1-5a1-6a1-7a1-8a1-9a2-1a2-2a2-3a2-4a2-5a2-6a2-7a2-8a2-9a3-1a3-2a3-3a3-4a3-5a3-6a3-7a3-8a3-9[A]0 =a4-1a4-2a4-3a4-4a4-5a4-6a4-7a4-8a4-9a5-1a5-2a5-3a5-4a5-5a5-6a5-7a5-8a5-9a6-1a6-2a6-3a6-4a6-5a6-6a6-7a6-8a6-9a7-1a7-2a7-3a7-4a7-5a7-6a7-7a7-8a7-9a8-1a8-2a8-3a8-4a8-5a8-6a8-7a8-8a8-9a9-1a9-2a9-3a9-4a9-5a9-6a9-7a9-8a9-9

1 Interaccion

ai-i =a1-1 =21662.245657aj-j =a2-2 =-671308.575791ai-j =a1-2 =-19423.605539

Tang 2 =2 x ai-j=-0.056058942ai-i - aj-j

=-1.6042912447

Cos =0.999608021Sen =-0.0279965058

Matriz de Transformacion

0.9996080210.02799650580000000-0.02799650580.9996080210000000001000000[P0] =000100000000010000000001000000000100000000010000000001

Matriz Transpuesta0.999608021-0.027996505800000000.02799650580.9996080210000000001000000000100000[P0]T =000010000000001000000000100000000010000000001

[A](1) =[P0]T x [A](0) x [P0]12345678912345678922206.251981-0.000000-7814.54404619.11185721.1992430.7083363417.998507-3662.826028-478.10408210.7306880461-0.6521121054-0.20203346420.0000416190.0000323038-0.00000584050.0049634680.0000003196-0.001619173210.000000-671852.582115-231.985872398.111257331.447737-10.66534946813.443680-82703.438941-19231.04299320.67824864550.65959267480.3238573853-0.0000449224-0.000035730.0000057835-0.0055332165-0.00010727290.00142861282-7814.544046-231.98587211584.515604-12.071346-11.3773101.328761-2007.6081704747.8116461343.5912313-0.0779331942-0.37365145310.92428281040.00002798370.0000222232-0.0000041310.00331276250.0002024226-0.00113074523[A](1) =19.111857398.111257-12.071346170982.330055-7066.189197-5247.01455136230.723518-78883.657558-21333.7903454=-0000.74434968970.6298925990.2215487074-0.0089562511-0.00171443750.0034452385421.199243331.447737-11.377310-7066.18919787729.645443-5.93007951635.158353-84965.738657-18510.3148005-0-00-0.622511280.53464757730.57150694470.0014949966-0.0011565366-0.002813163350.708336-10.6653491.328761-5247.014551-5.93007910922.880528-1907.79559318461.0367187303.9952006-00-00.2415726736-0.56332985410.79012080860.00204738140.0021130913-0.001603064263417.99850746813.443680-2007.60817036230.72351851635.158353-1907.7955934893358.259774-2875447.581490-1242396.83394070.00019607680.0057011972-0.00009320330.0051589110.0022034295-0.00002442920.6954973965-0.7156304197-0.0639722837-3662.826028-82703.4389414747.811646-78883.657558-84965.73865718461.036718-2875447.581490-25267217.7505540.00000080.00036225450.0041917371-0.00013968510.00274100390.0048323950.00033296580.64912145410.58776622870.48282864548-478.104082-19231.0429931343.591231-21333.790345-18510.3148007303.995200-1242396.833940-0.0000001320108.9816099-0.0000415982-0.00467146070.0003627557-0.0056353423-0.00430666610.0022312912-0.307850355-0.37735284320.87335889059

2 Interaccion

ai-i =a1-1 =22206.251981aj-j =a3-3 =11584.515604ai-j =a1-3 =-7814.544046

Tang 2 =2 x ai-j=-1.4714249664ai-i - aj-j

=-27.8997253051

Cos =0.8837678735Sen =-0.4679255772

Matriz de Transformacion

0.883767873500.4679255772000000010000000-0.467925577200.8837678735000000[P1] =000100000000010000000001000000000100000000010000000001

Matriz Transpuesta0.88376787350-0.46792557720000000100000000.467925577200.8837678735000000000100000[P1]T =000010000000001000000000100000000010000000001

[A](2) =[P1]T x [A](1) x [P1]12345678912345678926343.792101108.552123-0.00000022.53893624.0589440.0042433960.128484-5458.710475-1051.23373010.740295246-0.65211210540.16335694070.0000416190.0000323038-0.00000584050.0049634680.0000003196-0.00161917321108.552123-671852.582115-205.021661398.111257331.447737-10.66534946813.443680-82703.438941-19231.04299320.44787320920.65959267480.6035846416-0.0000449224-0.000035730.0000057835-0.0055332165-0.00010727290.001428612820.000000-205.0216617446.975484-1.725341-0.1352331.505765-174.8906792482.033419963.7056363-0.5013704208-0.37365145310.7803845190.00002798370.0000222232-0.0000041310.00331276250.0002024226-0.00113074523[A](2) =22.538936398.111257-1.725341170982.330055-7066.189197-5247.01455136230.723518-78883.657558-21333.7903454=-0000.74434968970.6298925990.2215487074-0.0089562511-0.00171443750.0034452385424.058944331.447737-0.135233-7066.18919787729.645443-5.93007951635.158353-84965.738657-18510.3148005-0-0-0-0.622511280.53464757730.57150694470.0014949966-0.0011565366-0.002813163350.004243-10.6653491.505765-5247.014551-5.93007910922.880528-1907.79559318461.0367187303.995200600-00.2415726736-0.56332985410.79012080860.00204738140.0021130913-0.001603064263960.12848446813.443680-174.89067936230.72351851635.158353-1907.7955934893358.259774-2875447.581490-1242396.83394070.00021689860.00570119720.00000937930.0051589110.0022034295-0.00002442920.6954973965-0.7156304197-0.0639722837-5458.710475-82703.4389412482.033419-78883.657558-84965.73865718461.036718-2875447.581490-25267217.7505540.00000080.00038551110.00419173710.00004605890.00274100390.0048323950.00033296580.64912145410.58776622870.48282864548-1051.233730-19231.042993963.705636-21333.790345-18510.3148007303.995200-1242396.833940-0.0000001320108.9816099-0.0002065059-0.00467146070.000301127-0.0056353423-0.00430666610.0022312912-0.307850355-0.37735284320.87335889059

3 Interaccion

ai-i =a1-1 =26343.792101aj-j =a4-4 =170982.330055ai-j =a1-4 =22.538936

Tang 2 =2 x ai-j=-0.0003116588ai-i - aj-j

=-0.0089283666

Cos =1.00Sen =-0.0001558294

Matriz de Transformacion

0.9999999879000.000155829400000010000000001000000[P2] =-0.0001558294000.999999987900000000010000000001000000000100000000010000000001

Matriz Transpuesta0.999999987900-0.0001558294000000100000000010000000.0001558294000.999999987900000[P2]T =000010000000001000000000100000000010000000001

[A](3) =[P2]T x [A](2) x [P2]12345678912345678926343.788588108.4900840.0002690.00000025.1600640.8218823954.482624-5446.418016-1047.90928610.7402952306-0.65211210540.16335694070.00015697870.0000323038-0.00000584050.0049634680.0000003196-0.00161917321108.490084-671852.582115-205.021661398.128168331.447737-10.66534946813.443680-82703.438941-19231.04299320.44787321070.65959267480.60358464160.0000248695-0.000035730.0000057835-0.0055332165-0.00010727290.001428612820.000269-205.0216617446.975484-1.725341-0.1352331.505765-174.8906792482.033419963.7056363-0.5013704191-0.37365145310.780384519-0.00005014460.0000222232-0.0000041310.00331276250.0002024226-0.00113074523[A](3) =0.000000398.128168-1.725341170982.333567-7066.185362-5247.01448736231.340182-78884.507228-21333.9538994=-0.0001159916000.74434968070.6298925990.2215487074-0.0089562511-0.00171443750.0034452385425.160064331.447737-0.135233-7066.18536287729.645443-5.93007951635.158353-84965.738657-18510.31480050.0000970056-0-0-0.62251127240.53464757730.57150694470.0014949966-0.0011565366-0.002813163350.821882-10.6653491.505765-5247.014487-5.93007910922.880528-1907.79559318461.0367187303.9952006-0.00003764410-00.2415726706-0.56332985410.79012080860.00204738140.0021130913-0.001603064263954.48262446813.443680-174.89067936231.34018251635.158353-1907.7955934893358.259774-2875447.581490-1242396.83394070.00021609470.00570119720.00000937930.00515894470.0022034295-0.00002442920.6954973965-0.7156304197-0.0639722837-5446.418016-82703.4389412482.033419-78884.507228-84965.73865718461.036718-2875447.581490-25267217.7505540.00000080.0003850840.00419173710.00004605890.0027410640.0048323950.00033296580.64912145410.58776622870.48282864548-1047.909286-19231.042993963.705636-21333.953899-18510.3148007303.995200-1242396.833940-0.0000001320108.9816099-0.0002056277-0.00467146070.000301127-0.0056353744-0.00430666610.0022312912-0.307850355-0.37735284320.87335889059

4 Interaccion

ai-i =a1-1 =26343.788588aj-j =a5-5 =87729.645443ai-j =a1-5 =25.160064

Tang 2 =2 x ai-j=-0.0008197349ai-i - aj-j

=-0.0234836688

Cos =1.00Sen =-0.0004098673

Matriz de Transformacion1234567890.9999999160000.00040986730000101000000020010000003[P3] =0001000004-0.00040986730001.00000050000010006000000100700000001080000000019

Matriz Transpuesta0.999999916000-0.00040986730000010000000001000000000100000[P3]T =0.00040986730000.9999999160000000001000000000100000000010000000001

[A](4) =[P3]T x [A](3) x [P3]12345678912345678926343.778276108.3542260.0003242.8961990.0000000.8243123933.318727-5411.592878-1040.32242510.7402951551-0.65211210540.16335694070.00015697870.0003357267-0.00000584050.0049634680.0000003196-0.00161917321108.354226-671852.582115-205.021661398.128168331.492176-10.66534946813.443680-82703.438941-19231.04299320.44787318780.65959267480.60358464160.00002486950.00014783860.0000057835-0.0055332165-0.00010727290.001428612820.000324-205.0216617446.975484-1.725341-0.1352331.505765-174.8906792482.033419963.7056363-0.5013703861-0.37365145310.780384519-0.0000501446-0.0001832721-0.0000041310.00331276250.0002024226-0.00113074523[A](4) =2.896199398.128168-1.725341170982.333567-7066.184769-5247.01448736231.340182-78884.507228-21333.9538994=-0.0003741639000.74434968070.62989249850.2215487074-0.0089562511-0.00171443750.003445238540.000000331.492176-0.135233-7066.18476987729.655755-5.92974251636.774829-84967.963829-18510.7427495-0.000122129-0-0-0.62251127240.53464757210.57150694470.0014949966-0.0011565366-0.002813163350.824312-10.6653491.505765-5247.014487-5.92974210922.880528-1907.79559318461.0367187303.99520060.00019324640-00.2415726706-0.56332982220.79012080860.00204738140.0021130913-0.001603064263933.31872746813.443680-174.89067936231.34018251636.774829-1907.7955934893358.259774-2875447.581490-1242396.83394070.00021519160.00570119720.00000937930.00515894470.0022035179-0.00002442920.6954973965-0.7156304197-0.0639722837-5411.592878-82703.4389412482.033419-78884.507228-84967.96382918461.036718-2875447.581490-25267217.7505540.00000080.00038310330.00419173710.00004605890.0027410640.00483255240.00033296580.64912145410.58776622870.48282864548-1040.322425-19231.042993963.705636-21333.953899-18510.7427497303.995200-1242396.833940-0.0000001320108.9816099-0.0002038625-0.00467146070.000301127-0.0056353744-0.004306750.0022312912-0.307850355-0.37735284320.87335889059

5 Interaccion

ai-i =a1-1 =26343.778276aj-j =a6-6 =10922.880528ai-j =a1-6 =0.824312

Tang 2 =2 x ai-j=0.0001069085ai-i - aj-j

=0.0030627027

Cos =1.00Sen =0.0000534542

Matriz de Transformacion1234567890.99999999860000-0.0000534542000101000000020010000003[P4] =000100000400001000050.000053454200001.000006000000100700000001080000000019

Matriz Transpuesta0.999999998600000.0000534542000010000000001000000000100000[P4]T =000010000-0.000053454200000.9999999986000000000100000000010000000001

[A](5) =[P4]T x [A](4) x [P4]12345678912345678926343.778320108.3536550.0004052.615723-0.0003170.0000003933.216742-5410.606050-1039.93199410.7402951538-0.65211210540.16335694070.00015697870.0003357267-0.00004541240.0049634680.0000003196-0.00161917321108.353655-671852.582115-205.021661398.128168331.492176-10.67114146813.443680-82703.438941-19231.04299320.44787318740.65959267480.60358464160.00002486950.0001478386-0.0000181572-0.0055332165-0.00010727290.001428612820.000405-205.0216617446.975484-1.725341-0.1352331.505765-174.8906792482.033419963.7056363-0.5013703856-0.37365145310.780384519-0.0000501446-0.00018327210.00002266940.00331276250.0002024226-0.00113074523[A](5) =2.615723398.128168-1.725341170982.333567-7066.184769-5247.01463436231.340182-78884.507228-21333.9538994=-0.0003623212000.74434968070.62989249850.2215487271-0.0089562511-0.00171443750.00344523854-0.000317331.492176-0.135233-7066.18476987729.655755-5.92974251636.774829-84967.963829-18510.7427495-0.0000915796-0-0-0.62251127240.53464757210.57150695050.0014949966-0.0011565366-0.002813163350.000000-10.6711411.505765-5247.014634-5.92974210922.880484-1908.00584318461.3259657304.05079960.00023548170-00.2415726706-0.56332982220.79012079710.00204738140.0021130913-0.001603064263933.21674246813.443680-174.89067936231.34018251636.774829-1908.0058434893358.259774-2875447.581490-1242396.83394070.00021519020.00570119720.00000937930.00515894470.0022035179-0.00002444070.6954973965-0.7156304197-0.0639722837-5410.606050-82703.4389412482.033419-78884.507228-84967.96382918461.325965-2875447.581490-25267217.7505540.00000080.00038312110.00419173710.00004605890.0027410640.00483255240.00033294530.64912145410.58776622870.48282864548-1039.931994-19231.042993963.705636-21333.953899-18510.7427497304.050799-1242396.833940-0.0000001320108.9816099-0.0002037432-0.00467146070.000301127-0.0056353744-0.004306750.0022313021-0.307850355-0.37735284320.87335889059

6 Interaccion

ai-i =a1-1 =26343.778320aj-j =a7-7 =4893358.259774ai-j =a1-7 =3933.216742

Tang 2 =2 x ai-j=-0.0016162749ai-i - aj-j

=-0.0463028257

Cos =1.00Sen =-0.0008081367

Matriz de Transformacion1234567890.9999996735000000.000808136700101000000020010000003[P5] =000100000400001000050000010006-0.0008081367000001.0000700000001080000000019

Matriz Transpuesta0.999999673500000-0.000808136700010000000001000000000100000[P5]T =0000100000000010000.0008081367000000.999999673500000000010000000001

[A](6) =[P5]T x [A](5) x [P5]12345678912345678926340.59974270.5219600.141740-26.664152-41.7298881.5419290.000000-3086.849642-35.90521110.7402909009-0.65211210540.16335694070.00015697870.0003357267-0.00004541240.0055617260.0000003196-0.0016191732170.521960-671852.582115-205.021661398.128168331.492176-10.67114146813.515958-82703.438941-19231.04299320.44787751280.65959267480.60358464160.00002486950.0001478386-0.0000181572-0.005171272-0.00010727290.001428612820.141740-205.0216617446.975484-1.725341-0.1352331.505765-174.8906212482.033419963.7056363-0.5013728991-0.37365145310.780384519-0.0000501446-0.00018327210.00002266940.00290758560.0002024226-0.00113074523[A](6) =-26.664152398.128168-1.725341170982.333567-7066.184769-5247.01463436231.330465-78884.507228-21333.9538994=-0.0003550832000.74434968070.62989249850.2215487271-0.008956541-0.00171443750.00344523854-41.729888331.492176-0.135233-7066.18476987729.655755-5.92974251636.757967-84967.963829-18510.7427495-0.0000927877-0-0-0.62251127240.53464757210.57150695050.0014949221-0.0011565366-0.002813163351.541929-10.6711411.505765-5247.014634-5.92