BallParam_Reverse Ejemplo N°5

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    Moly-Cop Tools, Version 3.0 

     About the BallParam_Reverse Spreadsheet ...

    Scope :

    The BallParam_Reverse spreadsheet was designed to e !sed " in #on$!n#tion with the BallSim_Reverse spreain the %t!ning% o& s!#h si'!lator to an( spe#i&i# a#t!al grinding s(ste'. The atta#hed spreadsheets pro)ide an e&&ealgorith' to sear#h &or the set o& para'eter )al!es that est approxi'ate the 'odel response to the a#t!al experi'eas!re'ents otained &ro' a Pilot or Full Scale Ball Mill* operating in #lose #ir#!it with h(dro#(#lones in a ReCircuit Configuration. BallParam_Reverse #o'ines in a single appli#ation the si'!ltaneo!s #los!re o& the CirMass Balance* pl!s the e)al!ation o& the #orresponding Classifier Constants +see About  in CycloSim_Singl  the esti'ation o& the #hara#teristi# !re "rin#ing Parameters$ as an alternati)e to the #on#atenated !se o& theBallBal_Reverse and BallParam_!pen spreadsheets* as originall( proposed in Moly-Cop Tools$ %ersion &'.

    T(eoretical Frame)or* :

    The re&eren#e all 'ill 'odel is des#ried in the About  wor-sheet o& the BallSim_Reverse spreadsheet. i'ilare&eren#e h(dro#(#lone 'odel is des#ried in the About  wor-sheet o& the CycloSim_Single spreadsheet.

    n the asis o& Pilot or Full Scale +ata* li-e those t(pi#all( otained &ro' sa'pling #a'paigns aro!nd #ontin!o!

    grinding/#lassi&i#ation #ir#!its* the BallParam_Reverse ro!tine allows &or the #al#!lation o& all αs and βs +in#l!din

    pl!s the #lassi&i#ation para'eters +p& * d50# and ' see CycloSim_Single, that 'ini'ie the least"s!ares !b,ectiFunction:

      3  n

      φ  wi- +f i- " f i-,/f i-2  +3,

      - 1  i 1

    where the f i-s represent the experi'ental sie distri!tion o& the 'ill prod!#t +as retained on s#reen i* i 1*n, a

    f i-

    s represent the 'odel response &or ea#h #orresponding f i-

    * &or a gi)en set o& 'odel para'eters. lso* the s!s#

    1* 2* 3 represents the #(#lone &eed* o)er&low and !nder&low strea's* respe#ti)el(. The αs and βs +in#l!ding d#rit, a

    ao)e listed #lassi&i#ation para'eters that (ield the 'ini'!' possile )al!e o& φ are so #onsidered to e represen

    the parti#!lar ore and test #onditions !nder anal(sis.

    This e)al!ation 'ethodolog( i'poses the #ondition that the h(dro#(lones per&or' in good agree'ent with the PlitClassification .fficiency Curve +see About in CycloSim Single,

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    Moly-Cop Tools, Version 3.0 

     About the BallParam_Reverse Spreadsheet ...

    +ata 0nput an# Program .1ecution :

    =ost o& the data re!ired ( the algorith' '!st e de&ined in ea#h #orresponding !nprote#ted )(ite bac*groun#inside the red do!le"lined order " o& the here atta#hed +ata_File wor-sheet. "ray bac*groun# cells #ontain tho& the #orresponding &or'!la there de&ined and are prote#ted to a)oid an( a##idental editing.

    The re'aining in&or'ation re!ired to r!n the progra' is entered in the Control_Panel wor-sheet* where the !serre!ested to pro)ide initial g!esses o& the grinding and #lassi&i#ation para'eters re&erred ao)e.

    To r!n the progra'* sele#t the o$e#ti)e &!n#tion Cell .23 in Control_Panel and then* &ro' the Tools Menu* sele#Solver  ...* then Min and then By C(anging an( #o'ination o& Cells C&4:F&4$ C5&:+5&$ C56:.56$ C57$ C25:F25.28. The sa'e %para'eter red!#tion hints% pro)ided in About  o& BallParam_Batc( appl( in this #ase* !t )er(i'portantl(* Cell .28 '!st alwa(s e in#l!ded in the By C(anging list. >li#-ing on the Solve !tton will exe#!te tdesired #al#!lations.

    0mportant 9otice : Solver must be run every time any element of input #ata gets to be mo#ifie#. therwis#!rrent o!tp!ts are not )alid.

    >al#!lation res!lts are s!''aried in the Reports wor-sheet.

    ?ew Moly-Cop Tools !sers are in)ited to explore the rie& #o''ents inserted in ea#h rele)ant #ell* rendering the!tiliation o& the wor-sheets sel&"explanator(. )ent!all(* the !ser 'a( wish to re'o)e the )iew o& the #o''ents sele#ting Tools !ptions %ie) Comments 9one.

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    Moly-Cop Tools / 312692713.xlsx 04/08/2016 / 00:11:51

    Sample 9;   1

    /eig(ting Factors :

    Streams :

      =ill @is#harge 1

      >(#lone A&low 1

      >(#lone &low 1

    Si

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    !b, Function: ''7&

    Classifier Constants :

    a1 a2 a3 a4   λ

    110.91 1.466 5.87 0.118 0.967

    9ote : >!rrent #al#!lations are not )alid* i& DE; has not een r!n a&ter the last data 'odi&i#ation.

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    00

     

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    Moly Cop Tools / 312692713 xlsx 04/08/2016

     

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    Circuit Type R.%.RS.

    Remar*s   ase >ase xa'ple

     

    Mill +imensions an# !perating Con#itions   206 C(arg

    &&. @ia'. &&. Dength peed >harge alls Bnterstitial Di&t 0 %olum

    &t &t >riti#al

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    Moly-Cop Tools / 312692713.xlsx / ase xa'ple

     

    25.60 olids

    97.84 "200 H

    E+0%'   10.00 psi

    0.097

    0.101 1 H o& >(#lones

    9.06 Eortex

    5.98 pex

    ton/hr &6'   66.66 olids

    76

    Iater* 0.0

    0.0

    "ross */ 538' alls 35.00 >ir#. Doad 64.96

    >riti#al 79.00 57

    olids 66.69 olids 33.80

    -Ih/ton +Jross, 17.60

    Moly-Cop Tools TM (Version 3.0)

      PG'

      p& 

      pw

    <80

    Iater* '3/hr

    '3/hr

    '3/hr

    Iio +'etri#,

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    Sample 9; &

    BA>>PARAM>on)entional >losed >ir#!it Jrinding i'!lator 

    ;e'ar-s : ase >ase xa'ple

     

    C0RC?0T MASS BA>A9C.Configuration : RVR! 

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      pe#i&i# nerg( >ons!'ption : 17.60 -Ih/ton +Jross,

      perational Ior- Bndex : H@BE/0K -Ih/ton

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    Sample 9; &

    BA>>PARAM

    >on)entional >losed >ir#!it Jrinding i'!lator 

    ;e'ar-s : ase >ase xa'ple

     

    C>ASS0F0.RS P.RF!RMA9C.

    ?!'er o& >(#lones : 1 perating >onditions :

    >(#lone @i'ensions* in : 57.0@ia'eter 25.00 Press!re* psi 10.0

    Geight 60.63 41.9

    Bnlet 6.81 Iater ("Pass* 10.1

    Eortex 9.06 olids ("Pass* 9.7

     pex 5.98 Plitts Para'eter 2.37

    2.90 >ir#!lating Doad* 65

    Mass Balance aroun# t(e Classifiers

    Siop ToolsT=* Eersion 3.0

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    57.0 8.2 48.8 a3 5.871

    1.284 1.775 1.202 a4 0.118

      olids +( )ol!'e, 15.0 40.8 10.6   λ   0.967  olids +( weight, 33.8 66.7 25.6 p# 0.000

      l!rr(* '3/hr 

      l!rr( @ens.* ton/'3

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    Sample 9; &

    BA>>PARAM

    >on)entional >losed >ir#!it Jrinding i'!lator 

    ;e'ar-s : ase >ase xa'ple

     

    BA>> M0>> P.RF!RMA9C.

    &&. @ia'eter* &t 8.0 264

    &&. Dength* &t 9.0 238peed* >riti#al 79.0 Thro!ghp!t* ton/hr 9.7

    5.36 olids +( weight, 66.7

    >harge De)el* 35.0 p. nerg(* -Ih/ton 27.09

    alls

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    0.0179687 0.0000000 0.650 1.000 2.50 6532 0.200 0.000 0.25 4.00

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    >lass

    Page 23

    ?!'er o& >(#lones 1

    >lassi&ier @i'ensions* in#hes.

    @> h @B @ @A

    25 60.629921 6.81 9.06 5.98

    >lassi&ier >onstants

    a2 a3 a4   λ   >(#lone >(#lone >(#lone

    110.90916 1.4657791 5.8706411 0.1177097 0.9666091103 ir#!lating Doad* >D 0.6495879025 olids* tons 24.74 9.74 15

    l!rr( plit* 0.1688624998 48.46 4.87 43.59

    >(#lone Press!re* &t 17.980297861 l!rr(* tons 73.204968 14.617583 58.587385

    10.00 56.993501 8.2337016 48.759799

    41.873703776 2.90 2.90 2.90

    Iater ("Pass 0.1005705436 1.2844441 1.7753355 1.201551

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    >lass

    Page 24

    16 105 125.07997 0.9999179517 96.92 92.18 100.00 96.89

    17 74 88.147603 0.9843558312 92.10 79.95 100.00 92.10

    18 53 62.625873 0.8510106161 85.97 64.62 99.84 86.09

    19 44 48.290786 0.6584865576 77.82 47.00 97.84 77.86

    20 37 40.348482 0.5213790388 72.48 38.07 94.83 72.56

    21 0 18.5 0.1828733437 67.35 31.27 90.78 67.34

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    >lass

    Page 25

     Passing +exp,

    >(#lone >(#lone >(#lone >(#lone >(#lone

    A&low &low

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    >lass

    Page 26

    92.06 100.00 0.001 0.018 0.000

    79.86 99.99 0.000 0.012 0.000

    64.88 99.77 0.020 0.162 0.005

    46.94 97.79 0.002 0.018 0.002

    38.07 94.82 0.012 0.000 0.000

    31.27 90.60 0.000 0.000 0.038)erall

    0.002 0.011 0.002 0.005

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    i

    ele#tion

    0.0179687 0 0.65 1 2.50 6532

    i =esh pening =id"ie

    1 1.05 25400

    2 0.742 19050 21997.045 0.54748923 0.525 12700 15554.26 0.9777195

    4 0.371 9500 10984.079 1.629254

    5 3 6700 7978.095 2.3319759

    6 4 4750 5641.3651 2.9121497

    7 6 3350 3989.0475 3.047934

    8 8 2360 2811.761 2.7959271

    9 10 1700 2002.9978 2.3909168

    10 14 1180 1416.3333 1.965029111 20 595 837.91408 1.4192023

    12 28 420 499.89999 1.0187969

    13 35 297 353.1855 0.8136234

    14 48 210 249.73986 0.6497701

    15 65 149 176.8898 0.5193631

    16 100 105 125.07997 0.4146357

    17 150 74 88.147603 0.3302892

    18 200 53 62.625873 0.264486

    19 270 44 48.290786 0.2233708

    20 400 37 40.348482 0.1987481

    21 "400 0 18.5 0

     

    '& 

    '5 

    && 

    &5 

    5#

    crit

    i

    i$

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    i$

    Page 28

    rea-age

    0.2 0 0.25 4.00

    i =esh pening >!''!lati)e

    1 1.05 25400 0.2 1

    2 0.742 19050 0.2 1 1

    3 0.525 12700 0.2 0.3387451 1 1

    4 0.371 9500 0.2 0.2175459 0.4364767 1 1

    5 3 6700 0.2 0.16626 0.2324193 0.3812035 1 1

    6 4 4750 0.2 0.1444208 0.1720605 0.2181793 0.38562 1 17 6 3350 0.2 0.1302793 0.1472041 0.1664906 0.2181793 0.3812035 1 1

    8 8 2360 0.2 0.1188429 0.1322667 0.1442443 0.1663926 0.2166619 0.3802721 1 1

    9 10 1700 0.2 0.1093629 0.1212306 0.1309006 0.1452619 0.1678177 0.2218559 0.3996489 1 1

    10 14 1180 0.2 0.0997879 0.1104801 0.1189229 0.1303329 0.1442443 0.1663926 0.2181793 0.3682572 1

    11 20 595 0.2 0.0840794 0.0930521 0.1000649 0.1092291 0.1191802 0.130633 0.1449523 0.1658371 0.2202511

    12 28 420 0.2 0.0770672 0.0852896 0.0917119 0.1000869 0.1091098 0.119207 0.130704 0.1439841 0.1673197

    13 35 297 0.2 0.0706717 0.0782113 0.0840993 0.091773 0.1000228 0.1091829 0.1193224 0.1300478 0.1448711

    14 48 210 0.2 0.0648054 0.071719 0.0771179 0.0841531 0.0917119 0.1000869 0.1092839 0.1187557 0.130704

    15 65 149 0.2 0.0594775 0.0658227 0.0707776 0.0772341 0.08417 0.0918502 0.100266 0.1088686 0.1194253

    16 100 105 0.2 0.0544946 0.0603082 0.064848 0.0707634 0.0771179 0.0841531 0.0918574 0.0997162 0.109283917 150 74 0.2 0.0499303 0.055257 0.0594165 0.0648365 0.0706586 0.0771042 0.0841616 0.0913565 0.100097

    18 200 53 0.2 0.045933 0.0508333 0.0546598 0.0596459 0.0650018 0.0709313 0.0774234 0.0840409 0.0920754

    19 270 44 0.2 0.0438449 0.0485224 0.052175 0.0569344 0.0620469 0.0677068 0.0739036 0.08022 0.0878881

    20 400 37 0.2 0.0419862 0.0464654 0.0499631 0.0545207 0.0594165 0.0648365 0.0707706 0.0768191 0.0841616

    β

    ''  β

    '&  β

    &  β

    5

    β

    'H

    i$

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    i$

    Page 29

    i =esh pening Partial

    1 1.05 25400 0

    2 0.742 19050 0.6612549 03 0.525 12700 0.1211991 0.5635233 0

    4 0.371 9500 0.0512859 0.2040574 0.6187965 0

    5 3 6700 0.0218392 0.0603587 0.1630242 0.61438 0

    6 4 4750 0.0141415 0.0248564 0.0516887 0.1674408 0.6187965 0

    7 6 3350 0.0114363 0.0149374 0.0222463 0.0517866 0.1645416 0.6197279 0

    8 8 2360 0.00948 0.0110361 0.0133438 0.0211307 0.0488442 0.1584162 0.6003511 0

    9 10 1700 0.009575 0.0107506 0.0119777 0.014929 0.0235734 0.0554633 0.1814696 0.6317428 0

    10 14 1180 0.0157086 0.017428 0.018858 0.0211038 0.0250641 0.0357597 0.073227 0.20242 0.7797489

    11 20 595 0.0070122 0.0077625 0.008353 0.0091422 0.0100705 0.011426 0.0142483 0.021853 0.0529314

    12 28 420 0.0063955 0.0070783 0.0076127 0.0083139 0.009087 0.0100241 0.0113816 0.0139363 0.022448613 35 297 0.0058663 0.0064923 0.0069814 0.0076199 0.0083108 0.009096 0.0100385 0.0112921 0.014167

    14 48 210 0.0053279 0.0058963 0.0063402 0.006919 0.007542 0.0082367 0.0090179 0.0098871 0.0112787

    15 65 149 0.0049829 0.0055145 0.0059296 0.0064706 0.0070521 0.0076971 0.0084086 0.0091524 0.0101414

    16 100 105 0.0045643 0.0050512 0.0054315 0.005927 0.0064593 0.0070489 0.0076958 0.0083597 0.0091869

    17 150 74 0.0039973 0.0044237 0.0047567 0.0051906 0.0056567 0.0061728 0.0067382 0.0073156 0.0080216

    18 200 53 0.0020881 0.0023109 0.0024848 0.0027115 0.002955 0.0032246 0.0035198 0.0038208 0.0041873

    19 270 44 0.0018587 0.002057 0.0022119 0.0024136 0.0026304 0.0028703 0.003133 0.0034009 0.0037266

    20 400 37 0.0419862 0.0464654 0.0499631 0.0545207 0.0594165 0.0648365 0.0707706 0.0768191 0.0841616

    1 1 1 1 1 1 1 1 1

    i$

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    i$

    Page 30

    1

    1 1

    0.3819397 1 1

    0.2177733 0.383444 1 1

    0.1665679 0.2181793 0.3833577 1 1

    0.1446268 0.1670245 0.2189975 0.3863059 1 1

    0.1304036 0.1445464 0.1667166 0.2181793 0.3805331 1 10.1189619 0.1303472 0.1443853 0.1664281 0.2165676 0.3806088 1 1

    0.1093125 0.1194057 0.1308012 0.1450026 0.1672622 0.2205104 0.3944957 1 1

    0.104319 0.1138803 0.124466 0.1368544 0.1535172 0.1855833 0.2756185 0.5709199 1 1

    0.0998857 0.1090084 0.1190132 0.1303472 0.1442254 0.1664281 0.2181793 0.3728323 0.5915455 1 1

    i$

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    i$

    Page 31

    0

    0.6180603 0

    0.1641664 0.616556 00.0512054 0.1652647 0.6166423 0

    0.0219411 0.0511548 0.1643602 0.6136941 0

    0.0142232 0.0224781 0.0522809 0.1681267 0.6194669 0

    0.0114417 0.0141991 0.0223313 0.0517512 0.1639655 0.6193912 0

    0.0096494 0.0109415 0.013584 0.0214254 0.0493054 0.1600984 0.6055043 0

    0.0049935 0.0055254 0.0063352 0.0081482 0.013745 0.0349271 0.1188771 0.4290801 0

    0.0044334 0.0048718 0.0054528 0.0065072 0.0092918 0.0191552 0.0574392 0.1980877 0.4084545 0

    0.0998857 0.1090084 0.1190132 0.1303472 0.1442254 0.1664281 0.2181793 0.3728323 0.5915455 1 0

    1 1 1 1 1 1 1 1 1 1 0

    CLT

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    Page 32

      =ill Thro!ghp!t* ton/hr    9.7438185376   ;e(nolds ?!'er 0.1373890266

      Iater 4.8667955539   l!rr( Eis#osit(* #p 5.0857758221

      l!rr(* '3/hr 8.2267329806

      l!rr( @ens.* ton/'3 1.7759922591

      olids +( )ol!'e, 40.8416978486

    ar    21.153062578   ? 1.345213109

    =atrix C

    1 2 3 4 5 6 7 8 9

    1 0.0476521318 0 0 0 0 0 0 0 0

    2 0 0.0232643536 0 0 0 0 0 0 0

    3 0 0 0.0121004639 0 0 0 0 0 0

    4 0 0 0 0.0075850101 0 0 0 0 0

    5 0 0 0 0 0.0056657189 0 0 0 0

    6 0 0 0 0 0 0.0053356488 0 0 07 0 0 0 0 0 0 0.0059776462 0 0

    8 0 0 0 0 0 0 0 0.0073410125 0

    9 0 0 0 0 0 0 0 0 0.0094861635

    10 0 0 0 0 0 0 0 0 0

    11 0 0 0 0 0 0 0 0 0

    12 0 0 0 0 0 0 0 0 0

    13 0 0 0 0 0 0 0 0 0

    14 0 0 0 0 0 0 0 0 0

    15 0 0 0 0 0 0 0 0 0

    16 0 0 0 0 0 0 0 0 0

    17 0 0 0 0 0 0 0 0 0

    18 0 0 0 0 0 0 0 0 0

    19 0 0 0 0 0 0 0 0 0

    20 0 0 0 0 0 0 0 0 0

    CLT

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    Page 33

    =atrix T

    1 2 3 4 5 6 7 8 9

    1 1 0 0 0 0 0 0 0 0

    2 0.8414795173 1 0 0 0 0 0 0 03 0.4899247063 0.8456462707 1 0 0 0 0 0 0

    4 0.3866061488 0.7768630586 1.4346737716 1 0 0 0 0 0

    5 0.3153271507 0.7219959784 1.8092605082 2.4694656606 1 0 0 0 0

    6 0.3153985482 0.8211298549 2.7523798417 6.7608908221 13.2712574082 1 0 0 0

    7 0.3690761824 1.1198145838 5.3788751081 30.3364625953 "219.81180077 "7.4953879886 1 0 0

    8 0.4668587732 1.7310257682 14.0579248678 926.112376191 695.29817011 18.4142080481 "4.1444332866 1 0

    9 0.7086193428 3.4692455738 73.3281794853 "3857.7270667 "993.53165067 "22.32856376 6.9233063072 "3.5465794738 1

    10 1.7226841431 14.963575155 "575.0672513 5976.87675283 823.404419444 16.4091845107 "6.3971040228 5.0942986782 "2.8071715069

    11 3.5416863622 333.67864389 811.93733838 "3724.7858264 "341.70903841 "6.2929599628 2.8516968024 "3.0258585136 2.4923124512

    12 10.2410426125 "1300.5064478 "465.99394534 714.748375774 23.8376219396 0.3173913608 "0.252220832 0.5305982092 "0.829956821913 58.0719613709 1814.2100211 139.002705257 "50.245792751 0.1771183572 0.0062276351 0.0011056916 "0.0317117662 0.1314788035

    14 "882.96818188 "1238.3091134 "17.800215144 "2.7224975603 "0.1333592015 "0.0017684602 0.0013978277 "0.0022869936 "0.0042068499

    15 2085.87367969 439.35112734 1.1109531325 "1.9354829987 "0.1464749103 "0.0022625563 0.0013414466 "0.0015751872 0.0012607748

    16 "2130.6777553 "77.236432571 0.5953110264 "1.7312811751 "0.1368032225 "0.0021480981 0.0012340436 "0.0014011804 0.0013272883

    17 1092.65926181 4.2481709613 0.5076454791 "1.5125519328 "0.120185922 "0.0018919914 0.001081729 "0.0012231789 0.0011754728

    18 "199.51512094 0.0810440628 0.2562667454 "0.7733529859 "0.0617856504 "0.0009738467 0.000555477 "0.0006256864 0.0005992923

    19 "32.315942971 "0.0014541892 0.2346886344 "0.701239485 "0.0557981742 "0.0008789195 0.000501952 "0.0005670238 0.0005458708

    20 "11.526605314 "0.9648556076 5.4552095478 "16.169231947 "1.2816903259 "0.0201759707 0.0115368644 "0.0130678833 0.0126352249

    Ee#tor i

    1 2 3 4 5 6 7 8 9

    1 0.547489239 0.9777194928 1.6292539999 2.3319759309 2.9121497352 3.0479340168 2.7959270718 2.3909168167 1.9650291161

    =atrix i$

    1 2 3 4 5 6 7 8 9

    1 0 0 0 0 0 0 0 0 0

    2 0.6612549079 0 0 0 0 0 0 0 0

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    3 0.121199143 0.5635233113 0 0 0 0 0 0 0

    4 0.0512859326 0.2040574151 0.6187965309 0 0 0 0 0 0

    5 0.0218392273 0.06035874 0.163024186 0.6143799633 0 0 0 0 0

    6 0.0141415206 0.0248564278 0.0516886781 0.1674407536 0.6187965309 0 0 0 0

    7 0.0114363247 0.0149373601 0.022246279 0.0517866333 0.1645416049 0.6197279266 0 0 0

    8 0.0094800478 0.0110361085 0.0133437524 0.0211307441 0.0488441586 0.1584161657 0.6003511321 0 09 0.0095749665 0.0107505519 0.0119776531 0.0149289713 0.0235733796 0.055463258 0.1814695849 0.6317428388 0

    10 0.0157085642 0.0174279603 0.0188580202 0.0211038188 0.0250641115 0.0357596602 0.0732269664 0.2024200478 0.7797489489

    11 0.007012155 0.0077624892 0.0083529582 0.0091422186 0.0100704545 0.0114259754 0.0142482823 0.0218530341 0.0529313837

    12 0.0063954915 0.0070783356 0.0076126861 0.0083138765 0.0090870076 0.0100241349 0.0113816096 0.0139363114 0.0224486094

    13 0.005866325 0.0064922961 0.0069813916 0.0076199235 0.0083108102 0.0090959824 0.0100385255 0.0112920947 0.0141670235

    14 0.0053278754 0.0058962982 0.0063402437 0.0069190197 0.007541975 0.0082366846 0.0090179147 0.0098870567 0.0112787489

    15 0.0049829043 0.005514499 0.0059296336 0.0064706407 0.0070521027 0.0076971154 0.0084085864 0.0091523981 0.0101413862

    16 0.0045643133 0.0050512452 0.0054314897 0.0059269751 0.0064592994 0.0070489393 0.0076958114 0.0083597401 0.0091868877

    17 0.0039972577 0.0044236933 0.0047566936 0.0051906042 0.005656726 0.0061728333 0.006738211 0.0073155892 0.0080215683

    18 0.0020881091 0.0023108727 0.0024848267 0.0027114931 0.0029549796 0.0032245512 0.0035197524 0.0038208484 0.004187296919 0.0018587231 0.0020570153 0.0022118597 0.0024136255 0.0026303621 0.0028703116 0.0031330487 0.0034009413 0.0037265596

    20 0.0419862108 0.0464653804 0.0499631173 0.0545207388 0.0594164973 0.0648364615 0.0707705747 0.0768190994 0.0841615869

    1 1 1 1 1 1 1 1 1

    =atrix Ti$ +in)erse,

    1 2 3 4 5 6 7 8 9

    1 1 5.53580"016 5.319038"016 "6.09438"016 "5.66086"016 1.367276"016 "3.89340"016 2.251004"017 1.040464"015

    2 "0.8414795173 1 "2.06360"015 "5.27515"015 "1.35207"015 "5.19106"015 "1.94443"015 "3.43901"015 "4.59062"015

    3 0.2216693094 "0.8456462707 1 1.982989"015 "5.52520"015 2.009055"015 "3.09041"015 "3.77787"015 "4.35408"015

    4 "0.0509149414 0.4363634661 "1.4346737716 1 7.497434"015 "1.43792"015 4.168294"015 7.603230"015 7.312777"015

    5 0.0168928486 "0.2695861719 1.7336171049 "2.4694656606 1 3.432651"015 "3.04410"015 "9.48120"015 "7.04905"015

    6 "0.1145117159 2.133951622 "16.059985952 26.0120236204 "13.271257408 1 2.248858"014 8.795475"014 5.927729"014

    7 3.7804102782 "53.072339431 298.837723966 "378.183947 120.338577404 7.4953879886 1 "1.63133"012 "1.29881"012

    8 51.0572447831 "465.77162774 1643.47534317 "1255.4463743 47.8167307139 12.6499274274 4.1444332866 1 "8.27700"012

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    9 "41.327538856 237.25725832 "484.3301577 150.788864418 33.6485371759 15.2996697841 7.7752557177 3.5465794738 1

    10 78.6946789592 "223.10334157 165.74277064 29.2830509352 15.0489964036 10.0458806541 7.1105993189 4.8615581678 2.8071715069

    11 331.770990807 "438.47349633 26.4555716836 12.6388515498 8.8156600252 7.0708423822 5.8873209772 4.8367022995 3.6572498963

    12 "158.52001098 109.68512774 24.7162028729 15.1824359947 11.8653125355 10.2445149188 9.108835643 8.0441313232 6.7280317602

    13 "206.16523172 51.545600399 22.0019083872 15.7188108603 13.254055062 12.0359342162 11.1948436466 10.3833876341 9.2900261753

    14 529.692184637 34.619490896 19.7822838771 15.5909429452 13.8505956725 13.0253883368 12.4982820677 11.9898881351 11.233567768415 89.7579882636 26.565375066 18.0022686932 15.1769280471 13.9884070528 13.4818594656 13.2195237161 12.9820782645 12.5603044291

    16 46.2042319404 21.581393046 16.3327162175 14.4410346328 13.6638959816 13.3968215567 13.332956932 13.305403563 13.1636430338

    17 31.9470749733 18.894293205 15.3880046116 14.0651242983 13.5518869899 13.4397231617 13.5049004247 13.6175332532 13.6725360358

    18 28.9535188442 19.252615618 16.3362965545 15.2180746423 14.8128820349 14.7802427601 14.9251325971 15.1294836571 15.3088733142

    19 44.5047342551 31.483137651 27.3338879474 25.7368417858 25.1929986268 25.2183322053 25.5283638539 25.9463424216 26.3592135969

    20 1 1 1 1 1 1 1 1 1

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    10 11 12 13 14 15 16 17 18

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0.0144610827 0 0 0 0 0 0 0 0

    0 0.022084514 0 0 0 0 0 0 0

    0 0 0.029300478 0 0 0 0 0 0

    0 0 0 0.0386962988 0 0 0 0 0

    0 0 0 0 0.0507703828 0 0 0 0

    0 0 0 0 0 0.0662672206 0 0 0

    0 0 0 0 0 0 0.086031727 0 0

    0 0 0 0 0 0 0 0.110014983 00 0 0 0 0 0 0 0 0.1317278093

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

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    10 11 12 13 14 15 16 17 18

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    1 0 0 0 0 0 0 0 0

    "2.19066143 1 0 0 0 0 0 0 0

    1.8875633447 "3.0615323794 1 0 0 0 0 0 0

    "0.8458766248 3.7060838748 "3.0619741137 1 0 0 0 0 0

    0.1866038303 "2.2436287607 3.6949112095 "3.0578125673 1 0 0 0 0

    "0.0178567248 0.7022964747 "2.2476712218 3.7193252634 "3.0720549713 1 0 0 0

    "0.0015653648 "0.1056855422 0.7187464075 "2.2800543198 3.7224210619 "3.0448395148 1 0 0

    "0.0014208459 0.0040627642 "0.1048533023 0.7097994889 "2.2211858897 3.6134580121 "3.0392400743 1 0

    "0.0007163337 0.000080381 0.0015414443 "0.0665049251 0.4840236106 "1.5946768416 2.8586896667 "2.760186534 1

    "0.0006601235 "2.01197"005 0.0004035087 "0.0152449454 0.0660106042 0.0278012118 "0.9165138263 3.0338542247 "3.7053979849

    "0.0154097276 "0.0016566926 "0.0011039321 "0.0095079946 0.0207855843 "0.0017428675 0.097064234 "1.2736676907 2.7053979849

    10 11 12 13 14 15 16 17 181.4192023349 1.0187969389 0.8136234107 0.6497700842 0.5193631245 0.4146357409 0.3302891861 0.2644860489 0.2233708247

    10 11 12 13 14 15 16 17 18

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

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    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0.6180603258 0 0 0 0 0 0 0 0

    0.1641663873 0.6165560338 0 0 0 0 0 0 0

    0.0512053657 0.1652646832 0.6166423406 0 0 0 0 0 0

    0.0219411202 0.0511547917 0.1643601804 0.6136940587 0 0 0 0 0

    0.0142231695 0.0224781351 0.0522809141 0.1681266582 0.6194669284 0 0 0 0

    0.0114417012 0.0141991093 0.0223312763 0.0517512 0.1639655109 0.6193911849 0 0 0

    0.0096494208 0.0109415365 0.0135840423 0.0214254461 0.0493053809 0.1600983814 0.6055043283 0 0

    0.0049934811 0.0055254418 0.0063352312 0.0081482212 0.013745007 0.0349271463 0.1188771468 0.4290800538 0

    0.0044333551 0.0048718316 0.0054528367 0.0065071688 0.0092917521 0.0191552043 0.0574392418 0.1980876862 0.4084545032

    0.0998856732 0.1090084369 0.1190131785 0.1303472469 0.1442254207 0.1664280831 0.2181792831 0.37283226 0.5915454968

    1 1 1 1 1 1 1 1 1

    10 11 12 13 14 15 16 17 18

    1.659073"016 "1.45065"016 "3.18475"016 "1.71743"016 3.126394"017 3.293135"016 2.646493"016 2.360171"016 "1.38357"017

    "3.70378"015 "1.13978"015 1.263939"016 "1.70379"015 "1.25694"015 "1.52590"015 "7.69817"016 "1.39290"016 "6.97845"017

    "2.81587"015 "4.74387"015 "4.48984"015 "1.20677"015 "1.41896"015 "2.99482"016 2.057966"017 "6.14230"017 6.579147"017

    5.142561"015 5.713839"015 5.269303"015 2.631203"015 2.868138"015 1.490300"015 4.477759"016 1.050860"016 "3.48273"017

    "5.07734"015 "4.68524"015 "4.86260"015 "3.00981"015 "3.61820"015 "2.14041"015 "6.70802"016 "1.22231"016 2.171786"017

    4.336668"014 3.770694"014 4.130107"014 2.693688"014 3.355463"014 2.030342"014 6.367258"015 1.120685"015 "1.72177"016

    "9.27799"013 "8.93739"013 "8.95022"013 "5.31049"013 "6.21799"013 "3.60318"013 "1.12655"013 "2.12566"014 4.269215"015

    "5.83015"012 "6.36367"012 "5.90584"012 "3.02100"012 "3.31327"012 "1.75245"012 "5.31504"013 "1.20073"013 3.721996"014

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    1.727958"012 2.199716"012 1.998576"012 8.185063"013 8.814467"013 3.823639"013 9.900562"014 3.511356"014 "1.87473"014

    1 "7.46180"013 "7.80098"013 "6.78346"014 "1.35669"013 6.783458"014 5.935526"014 "5.19806"015 1.707783"014

    2.19066143 1 "1.78215"013 6.753401"013 4.830557"013 6.190617"013 3.142207"013 5.061429"014 3.111329"014

    4.8192175555 3.0615323794 1 "2.49124"013 "2.02621"013 "2.24212"013 "1.14597"013 "3.24792"014 "6.73810"015

    7.4834210274 5.6682490194 3.0619741137 1 "1.25334"013 "1.62934"013 "9.40003"014 "4.70001"014 "1.34477"015

    9.8047450568 8.2639815402 5.6680317164 3.0578125673 1 1.045710"013 1.111067"013 1.258120"013 "1.01476"01411.5988184468 10.4843655457 8.2716985568 5.6744430355 3.0720549713 1 0 2.140934"014 "3.34521"015

    12.6510489667 11.9903273658 10.349914877 8.1753567947 5.6314933064 3.0448395148 1 1.051897"014 "2.21452"015

    13.5019960864 13.2061367002 12.0876583483 10.4246809803 8.235904375 5.6405402611 3.0392400743 1 "1.64326"015

    15.3440399351 15.2661554107 14.4263169584 13.0386104163 11.0488519366 8.4593688573 5.5301798601 2.760186534 1

    26.6307136782 26.7391971201 25.7110552053 23.834746365 20.9637844425 16.9955877193 12.1874197968 7.1937353964 3.7053979849

    1 1 1 1 1 1 1 1 1

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    19 20

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 00 0

    0.1486236 0

    0 1

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    19 20 i

    0 0 1 0.547489239

    0 0 2 0.97771949280 0 3 1.6292539999

    0 0 4 2.3319759309

    0 0 5 2.9121497352

    0 0 6 3.0479340168

    0 0 7 2.7959270718

    0 0 8 2.3909168167

    0 0 9 1.9650291161

    0 0 10 1.4192023349

    0 0 11 1.0187969389

    0 0 12 0.8136234107

    0 0 13 0.6497700842

    0 0 14 0.5193631245

    0 0 15 0.4146357409

    0 0 16 0.3302891861

    0 0 17 0.2644860489

    0 0 18 0.2233708247

    1 0 19 0.1987481473

    "1 1 20 0

    19 200.1987481 0

    19 20

    0 0

    0 0

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    0 0

    0 0

    0 0

    0 0

    0 0

    0 00 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    0 0

    1 0

    1 0

    19 20

    4.63"017 0

    "3.9"017 0

    1.03"017 0

    "2.4"018 0

    7.83"019 0

    "5.3"018 0

    1.75"016 0

    2.37"015 0

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    "1.9"015 0

    3.65"015 0

    1.54"014 0

    "7.3"015 0

    "9.6"015 0

    2.45"014 04.19"015 0

    2.23"015 0

    1.64"015 0

    1.59"015 0

    1 0

    1 1

    =ill

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    =atrix C

    1 2 3 4 5 6 7 8

    1 0.0476521318 0 0 0 0 0 0 0

    2 0 0.0232643536 0 0 0 0 0 0

    3 0 0 0.0121004639 0 0 0 0 0

    4 0 0 0 0.0075850101 0 0 0 0

    5 0 0 0 0 0.0056657189 0 0 0

    6 0 0 0 0 0 0.0053356488 0 0

    7 0 0 0 0 0 0 0.0059776462 0

    8 0 0 0 0 0 0 0 0.0073410125

    9 0 0 0 0 0 0 0 0

    10 0 0 0 0 0 0 0 0

    11 0 0 0 0 0 0 0 0

    12 0 0 0 0 0 0 0 0

    13 0 0 0 0 0 0 0 0

    14 0 0 0 0 0 0 0 0

    15 0 0 0 0 0 0 0 0

    16 0 0 0 0 0 0 0 0

    17 0 0 0 0 0 0 0 018 0 0 0 0 0 0 0 0

    19 0 0 0 0 0 0 0 0

    20 0 0 0 0 0 0 0 0

    =ill

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    =atrix T

    1 2 3 4 5 6 7 8

    1 1 0 0 0 0 0 0 0

    2 0.8414795173 1 0 0 0 0 0 03 0.4899247063 0.8456462707 1 0 0 0 0 0

    4 0.3866061488 0.7768630586 1.4346737716 1 0 0 0 0

    5 0.3153271507 0.7219959784 1.8092605082 2.4694656606 1 0 0 0

    6 0.3153985482 0.8211298549 2.7523798417 6.7608908221 13.2712574082 1 0 0

    7 0.3690761824 1.1198145838 5.3788751081 30.3364625953 "219.81180077 "7.4953879886 1 0

    8 0.4668587732 1.7310257682 14.0579248678 926.112376191 695.29817011 18.4142080481 "4.1444332866 1

    9 0.7086193428 3.4692455738 73.3281794853 "3857.7270667 "993.53165067 "22.3285637602 6.9233063072 "3.5465794738

    10 1.7226841431 14.9635751555 "575.0672513 5976.87675283 823.404419444 16.4091845107 "6.3971040228 5.0942986782

    11 3.5416863622 333.67864389 811.93733838 "3724.7858264 "341.70903841 "6.2929599628 2.8516968024 "3.0258585136

    12 10.2410426125 "1300.5064478 "465.99394534 714.748375774 23.8376219396 0.3173913608 "0.252220832 0.5305982092

    13 58.0719613709 1814.21002113 139.002705257 "50.245792751 0.1771183572 0.0062276351 0.0011056916 "0.0317117662

    14 "882.96818188 "1238.3091134 "17.800215144 "2.7224975603 "0.1333592015 "0.0017684602 0.0013978277 "0.0022869936

    15 2085.87367969 439.351127342 1.1109531325 "1.9354829987 "0.1464749103 "0.0022625563 0.0013414466 "0.0015751872

    16 "2130.6777553 "77.236432571 0.5953110264 "1.7312811751 "0.1368032225 "0.0021480981 0.0012340436 "0.0014011804

    17 1092.65926181 4.2481709613 0.5076454791 "1.5125519328 "0.120185922 "0.0018919914 0.001081729 "0.0012231789

    18 "199.51512094 0.0810440628 0.2562667454 "0.7733529859 "0.0617856504 "0.0009738467 0.000555477 "0.0006256864

    19 "32.315942971 "0.0014541892 0.2346886344 "0.701239485 "0.0557981742 "0.0008789195 0.000501952 "0.0005670238

    20 "11.526605314 "0.9648556076 5.4552095478 "16.169231947 "1.2816903259 "0.0201759707 0.0115368644 "0.0130678833

    =atrix T +in)erse,

    1 2 3 4 5 6 7 8

    1 1 "8.33705"016 "1.43731"015 "2.33604"015 "1.74411"015 "1.414797"015 "1.93253"015 "1.786630"015

    2 "0.8414795173 1 5.369321"015 5.139692"015 1.475800"015 4.386322"015 2.634452"015 3.641682"015

    =ill

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    3 0.2216693094 "0.8456462707 1 "5.02476"016 6.138687"015 "1.314363"015 4.217838"015 8.576845"016

    4 "0.0509149414 0.4363634661 "1.4346737716 1 "1.13759"014 "2.676633"015 "9.10362"015 "4.007879"015

    5 0.0168928486 "0.2695861719 1.7336171049 "2.4694656606 1 6.342422"015 1.316082"014 6.302777"015

    6 "0.1145117159 2.133951622 "16.059985952 26.0120236204 "13.271257408 1 "1.25630"013 "6.133336"014

    7 3.7804102782 "53.072339431 298.837723966 "378.183947 120.338577404 7.4953879886 1 1.039235"012

    8 51.0572447832 "465.77162774 1643.47534317 "1255.4463743 47.816730714 12.6499274274 4.1444332866 19 "41.327538856 237.257258325 "484.3301577 150.788864418 33.6485371758 15.2996697841 7.7752557177 3.5465794738

    10 78.6946789592 "223.10334157 165.74277064 29.2830509352 15.0489964036 10.0458806541 7.1105993189 4.8615581678

    11 331.770990807 "438.47349633 26.4555716836 12.6388515498 8.8156600252 7.0708423822 5.8873209772 4.8367022995

    12 "158.52001098 109.685127737 24.7162028729 15.1824359947 11.8653125355 10.2445149188 9.108835643 8.0441313232

    13 "206.16523172 51.5456003992 22.0019083872 15.7188108603 13.254055062 12.0359342162 11.1948436466 10.3833876342

    14 529.692184637 34.6194908957 19.7822838771 15.5909429452 13.8505956725 13.0253883368 12.4982820677 11.9898881351

    15 89.7579882636 26.5653750658 18.0022686932 15.1769280471 13.9884070528 13.4818594656 13.2195237161 12.9820782645

    16 46.2042319404 21.5813930463 16.3327162175 14.4410346328 13.6638959816 13.3968215567 13.332956932 13.305403563

    17 31.9470749733 18.894293205 15.3880046116 14.0651242983 13.5518869899 13.4397231617 13.5049004247 13.6175332532

    18 28.9535188442 19.2526156182 16.3362965545 15.2180746423 14.8128820349 14.7802427601 14.9251325971 15.1294836571

    19 44.5047342551 31.4831376507 27.3338879474 25.7368417858 25.1929986268 25.2183322053 25.5283638539 25.9463424216

    20 1 1 1 1 1 1 1 1

    =atrix TMC1 2 3 4 5 6 7 8

    1 0.0476521318 0 0 0 0 0 0 0

    2 0.0400982929 0.0232643536 0 0 0 0 0 0

    3 0.0233459567 0.0196734139 0.0121004639 0 0 0 0 0

    4 0.0184226072 0.0180732169 0.0173602181 0.0075850101 0 0 0 0

    5 0.015026011 0.0167967697 0.0218928914 0.018730922 0.0056657189 0 0 0

    6 0.0150294132 0.0191030553 0.0333050728 0.0512814253 0.0751912145 0.0053356488 0 0

    7 0.0175872669 0.0260517624 0.0650868839 0.2301023757 "1.2453918828 "0.039992758 0.0059776462 0

    8 0.0222468158 0.0402711956 0.1701074119 7.0245717427 3.9393640111 0.0982517472 "0.0247739559 0.0073410125

    =ill

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    9 0.0337672223 0.0807097557 0.8873049863 "29.260898828 "5.6290710904 "0.1191373745 0.0413850756 "0.0260354844

    10 0.0820895719 0.3481179034 "6.9585804952 45.3346706368 4.6651780143 0.0875536457 "0.0382396246 0.0373973105

    11 0.1687689054 7.7628179581 9.8248184249 "28.252538176 "1.9360273708 "0.0335770243 0.0170464346 "0.0222128653

    12 0.4880075124 "30.255441853 "5.6387428975 5.4213736612 0.1350572661 0.0016934888 "0.0015076869 0.0038951281

    13 2.7672527577 42.2064234245 1.6819972123 "0.3811148463 0.0010035028 3.322847"005 6.609433"006 "0.0002327965

    14 "42.075316187 "28.808461073 "0.2153908602 "0.0206501715 "0.0007555758 "9.435883"006 8.355719"006 "1.678885"00515 99.3963275235 10.2212199782 0.0134430482 "0.0146806581 "0.0008298857 "1.207221"005 8.018693"006 "1.156347"005

    16 "101.53133724 "1.7968556776 0.0072035396 "0.0131317852 "0.0007750886 "1.146150"005 7.376676"006 "1.028608"005

    17 52.0675431672 0.0988309514 0.0061427458 "0.0114727217 "0.0006809397 "0.000010095 6.466193"006 "8.979372"006

    18 "9.507320841 0.0018854377 0.0031009465 "0.0058658902 "0.0003500601 "5.196104"006 3.320445"006 "4.593172"006

    19 "1.539923574 "3.38308"005 0.0028398413 "0.0053189086 "0.0003161368 "4.689606"006 3.000491"006 "4.162529"006

    20 "0.5492673157 "0.022446742 0.066010566 "0.1226437879 "0.0072616972 "0.0001076519 6.896329"005 "9.593150"005

    =atrix TMCMT+in).,

    1 2 3 4 5 6 7 8

    1 0.0476521318 "3.97278"017 "6.84908"017 "1.11317"016 "8.31106"017 "6.741812"017 "9.20891"017 "8.513673"017

    2 0.0205218158 0.0232643536 6.728020"017 2.590033"017 "3.56023"017 4.531398"017 "1.62023"017 1.308057"017

    3 0.0094734834 0.0094407017 0.0121004639 4.049797"017 6.259705"017 3.735972"017 5.774973"017 4.031211"017

    4 0.0066764026 0.0067024345 0.0064782031 0.0075850101 1.482391"017 1.009078"017 1.618234"017 1.739232"017

    5 0.0048868817 0.0049292183 0.0048423161 0.0047396237 0.0056657189 9.440660"018 1.159908"017 1.373826"0176 0.0043855047 0.0044315899 0.0043952876 0.004390326 0.0043804457 0.0053356488 1.417155"017 1.241094"017

    7 0.0045167359 0.0045697034 0.0045616868 0.0046124656 0.0047037426 0.0048120196 0.0059776462 1.269208"017

    8 0.0048636241 0.0049298208 0.0049462314 0.0050392115 0.0052003948 0.0054246116 0.0056503808 0.0073410125

    9 0.0060211021 0.0061110033 0.0061498299 0.0062857585 0.0065165832 0.0068480058 0.0072400947 0.0076079484

    10 0.0105972377 0.0107297878 0.0107810691 0.0109800957 0.0113343443 0.0118610848 0.0125284749 0.013257819

    11 0.0112286756 0.0114665644 0.0116014097 0.011860371 0.012261386 0.0128329616 0.0135726087 0.0144423664

    12 0.0135186832 0.0138790235 0.0140905019 0.0144123928 0.0148749038 0.0155165907 0.0163494219 0.0173502191

    13 0.0162919875 0.016805861 0.017105958 0.0174901871 0.0180049297 0.018699471 0.0195991509 0.0206933592

    14 0.0194075334 0.0201049833 0.0205044943 0.0209468586 0.0214987709 0.0222207769 0.023150866 0.0242898969

    =ill

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    15 0.0233189269 0.0242450803 0.0247617371 0.0252645248 0.0258465507 0.0265813891 0.0275197935 0.0286734436

    16 0.0274417502 0.0286244289 0.0292662776 0.0298200531 0.0304097262 0.0311221239 0.0320201425 0.0331260657

    17 0.0307729501 0.0321920538 0.032943048 0.033523128 0.0340861061 0.0347293647 0.0355251804 0.036505137

    18 0.0225794403 0.0236971312 0.0242826918 0.024698813 0.0250682978 0.025464325 0.0259423665 0.0265297688

    19 0.0219104441 0.0230244082 0.0236002951 0.0239875403 0.0243104827 0.0246399362 0.0250296044 0.0255074374

    20 0.693934689 0.7308518521 0.7475884987 0.7543636403 0.7558376164 0.7539116903 0.7498942686 0.744675526

    =atrix TMCMT+in)., +in)erse,

    1 2 3 4 5 6 7 8

    1 20.9854200015 "1.67989"014 "6.06360"014 8.511444"014 3.967741"014 "6.271591"014 5.759624"014 1.062331"013

    2 "18.511536239 42.9842160014 "1.21531"013 "3.37908"013 4.734029"013 "4.866759"013 1.504271"013 "2.665657"013

    3 "1.9869597924 "33.536000453 82.6414599505 3.364897"013 "7.66287"013 6.368228"013 "3.56901"013 3.977227"013

    4 "0.4169835095 "9.3402472887 "70.582392193 131.838980385 1.136580"013 1.363896"014 1.602578"013 "8.638010"014

    5 0.0515329067 "0.9208739148 "11.585837521 "110.28911894 176.500107161 "7.121655"014 6.756442"014 "3.652131"014

    6 0.0641151084 0.3659384921 "0.4876907266 "17.936075555 "144.90255394 187.418632022 "1.51025"013 2.824042"014

    7 0.0406377513 0.3693483589 0.9063722301 "0.5056142509 "22.239045944 "150.872449489 167.289927581 2.353401"014

    8 0.0377581502 0.2392985726 0.6390036354 1.2717062547 "0.8406326406 "22.3656457822 "128.76313629 136.220990677

    9 0.0266561066 0.1343918306 0.3003335055 0.7181192747 1.004007472 "2.2091521437 "24.41151426 "109.24988503

    10 "0.033822501 "0.0470564556 "0.1992248191 "0.3708428764 "0.4195144997 "0.3744605672 "3.3089845943"19.3809340144

    11 0.1006587173 0.1717807346 0.1738661478 0.1078917677 0.0379367615 0.2746089954 1.0087441344 2.159588384412 0.0724403163 0.1047039587 0.0488832373 "0.1110845416 "0.3351260214 "0.3648627473 "0.0523292162 0.5856983304

    13 0.0585129194 0.072142006 "0.0064095676 "0.1987826587 "0.4752140967 "0.6118987173 "0.4983627126 "0.1695943194

    14 0.0502460399 0.0546593157 "0.0298997691 "0.2257884883 "0.5082925034 "0.6796726842 "0.6519942754 "0.4721988386

    15 0.0445300044 0.0433718241 "0.043657964 "0.2383764153 "0.5181946071 "0.7002536859 "0.7078606438 "0.5924962478

    16 0.0401474614 0.0364644522 "0.0471314969 "0.2309720831 "0.4944658765 "0.6709297651 "0.6923655372 "0.6090471702

    17 0.0355172367 0.0311977867 "0.0436831694 "0.2070645188 "0.4409100328 "0.5995519679 "0.624275648 "0.5602381167

    18 0.02262989 0.0221728525 "0.0152834222 "0.0994176488 "0.2210447284 "0.3043648613 "0.3186956795 "0.2875475788

    19 0.0181942941 0.0164421249 "0.0183596048 "0.0946345453 "0.204015897 "0.2788767008 "0.2920729088 "0.2648008254

    20 0.300305138 0.1980498013 "0.6503484526 "2.4289251605 "4.943040604 "6.6611219054 "6.977079954 "6.3795352467

    =ill

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    =atrix N >+in).,MTMCMT+in)., +in)erse,"BO

    1 2 3 4 5 6 7 8

    1 19.9854200015 "4.34372"014 "7.03954"014 8.255461"014 2.047866"014 "7.039540"014 7.551507"014 9.727365"014

    2 "18.511536239 41.9842160014 "1.31485"013 "3.35696"013 4.888880"013 "4.059319"013 9.291085"014 "2.499744"013

    3 "1.9869597924 "33.536000453 81.6414599505 3.603997"013 "7.44126"013 5.785057"013 "4.03554"013 3.907246"013

    4 "0.4169835095 "9.3402472887 "70.582392193 130.838980385 3.182425"014 1.250238"014 2.534574"013 "1.375262"013

    5 0.0515329067 "0.9208739148 "11.585837521 "110.28911894 175.500107161 "5.112983"014 5.295590"014 2.921705"014

    6 0.0641151084 0.3659384921 "0.4876907266 "17.936075555 "144.90255394 186.418632022 "1.17873"013 "3.192395"014

    7 0.0406377513 0.3693483589 0.9063722301 "0.5056142509 "22.239045944 "150.872449489 166.289927581 "1.438190"014

    8 0.0377581502 0.2392985726 0.6390036354 1.2717062546 "0.8406326406 "22.3656457822 "128.76313629 135.220990677

    9 0.0266561066 0.1343918306 0.3003335055 0.7181192746 1.0040074719 "2.2091521437 "24.41151426 "109.24988503

    10 "0.033822501 "0.0470564557 "0.1992248192 "0.3708428763 "0.4195144997 "0.3744605672 "3.3089845943"19.3809340144

    11 0.1006587173 0.1717807346 0.1738661478 0.1078917677 0.0379367615 0.2746089954 1.0087441344 2.1595883844

    12 0.0724403163 0.1047039587 0.0488832373 "0.1110845415 "0.3351260214 "0.3648627473 "0.0523292162 0.5856983304

    13 0.0585129193 0.072142006 "0.0064095676 "0.1987826587 "0.4752140967 "0.6118987173 "0.4983627126 "0.1695943194

    14 0.05024604 0.0546593157 "0.0298997691 "0.2257884885 "0.5082925037 "0.6796726846 "0.6519942758 "0.4721988389

    15 0.0445336584 0.043375383 "0.0436615464 "0.2383959752 "0.5182371276 "0.7003111452 "0.7079187273 "0.5925448651

    16 0.0407855169 0.0370439744 "0.0478805483 "0.2346428759 "0.502324323 "0.6815927166 "0.7033691631 "0.6187266341

    17 0.0417353626 0.0366596916 "0.0513309336 "0.2433160232 "0.5181016835 "0.7045176131 "0.7335697536 "0.658320949418 0.0343665178 0.0336724451 "0.0232099229 "0.1509790103 "0.3356860149 "0.4622187921 "0.4839820583 "0.4366794971

    19 0.0348964818 0.0315358379 "0.0352135461 "0.1815081509 "0.3913005354 "0.5348828395 "0.56019304 "0.5078854456

    20 1.6421482315 1.0829888997 "3.5562780197 "13.282007706 "27.0298585 "36.4247832414 "38.152525744 "34.8849926248

    =ill

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    =atrix N >+in).,MTMCMT+in)., +in)erse,"BO+in)erse,

    1 2 3 4 5 6 7 8

    1 0.0500364766 "2.82113"017 "6.88403"017 "1.17083"016 "8.87580"017 "8.295762"017 "1.09672"016 "9.759750"017

    2 0.0220619113 0.023818475 6.897842"017 1.926999"017 "3.92800"017 4.005576"017 "2.44287"017 4.668138"0183 0.0102801779 0.0097839552 0.0122486786 4.998827"017 7.015270"017 4.645795"017 6.543297"017 4.361761"017

    4 0.0072801518 0.0069783898 0.0066076717 0.0076429822 1.928775"017 1.312903"017 1.666268"017 1.983551"017

    5 0.0053547757 0.0051562908 0.0049610539 0.0048030613 0.0056980022 1.071826"017 1.189696"017 1.410913"017

    6 0.0048290784 0.0046582258 0.0045240041 0.0044687645 0.0044290373 0.0053642707 1.508273"017 1.344655"017

    7 0.0050023557 0.0048309125 0.0047213669 0.0047200294 0.0047804329 0.0048669253 0.0060135933 1.594824"017

    8 0.0054254144 0.005248712 0.0051549743 0.0051917277 0.0053201188 0.0055217458 0.0057263975 0.0073953015

    9 0.0067759155 0.0065632616 0.0064647283 0.0065313313 0.0067229054 0.0070286616 0.0073973725 0.0077376118

    10 0.0120768185 0.0116717096 0.0114793476 0.011557777 0.0118470956 0.0123354345 0.0129706124 0.0136614836

    11 0.013119306 0.0127790807 0.0126504721 0.0127827392 0.0131215226 0.0136641942 0.0143857724 0.0152335407

    12 0.0162189382 0.0158745955 0.0157646613 0.015937105 0.0163339487 0.0169561678 0.0177881923 0.0187880681

    13 0.0202180613 0.0198718466 0.0197802527 0.0199898779 0.0204392027 0.0211322337 0.0220608943 0.023191052514 0.0251443937 0.0248042128 0.0247330066 0.0249760338 0.0254692591 0.0262194559 0.0272248742 0.0284575902

    15 0.0318976718 0.0315617029 0.0315092947 0.0317852775 0.0323228131 0.0331312454 0.0342140366 0.0355476961

    16 0.0401710374 0.0398515681 0.0398215921 0.0401259027 0.0406967219 0.0415459538 0.0426817651 0.0440846694

    17 0.0482629431 0.0479852738 0.0479832785 0.0483014018 0.0488753933 0.0497194437 0.0508457177 0.0522390295

    18 0.0375415935 0.037411794 0.0374473235 0.0376822643 0.0380781314 0.0386477179 0.0394032914 0.0403380763

    19 0.0373412512 0.037247058 0.0372913288 0.037505864 0.037858526 0.0383618069 0.0390279891 0.0398523315

    20 1.1766658233 1.1768320232 1.1767921858 1.1765044742 1.1760168165 1.1753137325 1.1743805262 1.1732259506

    >ir#!it alan#e

    1 2 3 4 5 6 7

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    3 0.000 0.000 0.000 0.000 0.000 0.000 0.000

    4 0.000 0.000 0.000 0.000 0.000 0.000 0.000

    5 0.000 0.000 0.000 0.000 0.000 0.000 0.000

    6 0.000 0.000 0.000 0.000 0.000 0.000 0.000

    7 0.000 0.000 0.000 0.000 0.000 0.000 0.000

    8 0.000 0.000 0.000 0.000 0.000 0.000 0.0009 0.000 0.000 0.000 0.000 0.000 0.000 0.000

    10 0.000 0.000 0.000 0.000 0.000 0.000 0.000

    11 0.005 0.005 0.000 0.000 0.005 0.005 0.000

    12 0.039 0.040 0.001 0.000 0.040 0.040 0.000

    13 0.213 0.223 0.010 0.000 0.223 0.223 0.000

    14 0.459 0.494 0.035 0.000 0.494 0.494 0.000

    15 1.079 1.192 0.114 0.000 1.192 1.192 0.000

    16 1.278 1.494 0.239 0.000 1.517 1.494 0.024

    17 1.602 1.717 0.415 0.000 2.017 1.717 0.301

    18 0.945 0.870 0.377 0.000 1.322 0.870 0.451

    19 0.875 0.662 0.396 0.000 1.270 0.662 0.60820 8.507 3.047 8.157 0.000 16.664 3.047 13.616

    Total 15.000 9.744 9.744 0.000 24.744 9.744 15.000

    >D 0.6495879066

    1 2 3 4 5 6 7

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    12 99.97 99.95 100.00 99.98 99.95 100.00

    13 99.71 99.54 99.99 99.82 99.54 100.00

    14 98.29 97.25 99.88 98.92 97.25 100.00

    15 95.23 92.18 99.53 96.92 92.18 100.00

    16 88.04 79.95 98.36 92.10 79.95 100.00

    17 79.52 64.62 95.90 85.97 64.62 99.84

    18 68.84 47.00 91.64 77.82 47.00 97.84

    19 62.54 38.07 87.78 72.48 38.07 94.83

    20 56.71 31.27 83.72 67.35 31.27 90.78

    =ill

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    9 10 11 12 13 14 15 16 17

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0

    0.0094861635 0 0 0 0 0 0 0 0

    0 0.0144610827 0 0 0 0 0 0 0

    0 0 0.022084514 0 0 0 0 0 0

    0 0 0 0.029300478 0 0 0 0 0

    0 0 0 0 0.0386962988 0 0 0 0

    0 0 0 0 0 0.0507703828 0 0 0

    0 0 0 0 0 0 0.0662672206 0 0

    0 0 0 0 0 0 0 0.086031727 0

    0 0 0 0 0 0 0 0 0.1100149830 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    =ill

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    Page 54

    9 10 11 12 13 14 15 16 17

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    1 0 0 0 0 0 0 0 0

    "2.8071715069 1 0 0 0 0 0 0 0

    2.4923124512 "2.19066143 1 0 0 0 0 0 0

    "0.8299568219 1.8875633447 "3.0615323794 1 0 0 0 0 0

    0.1314788035 "0.8458766248 3.7060838748 "3.0619741137 1 0 0 0 0"0.0042068499 0.1866038303 "2.2436287607 3.6949112095 "3.0578125673 1 0 0 0

    0.0012607748 "0.0178567248 0.7022964747 "2.2476712218 3.7193252634 "3.0720549713 1 0 0

    0.0013272883 "0.0015653648 "0.1056855422 0.7187464075 "2.2800543198 3.7224210619 "3.0448395148 1 0

    0.0011754728 "0.0014208459 0.0040627642 "0.1048533023 0.7097994889 "2.2211858897 3.6134580121 "3.0392400743 1

    0.0005992923 "0.0007163337 0.000080381 0.0015414443 "0.0665049251 0.4840236106 "1.5946768416 2.8586896667 "2.760186534

    0.0005458708 "0.0006601235 "2.01197"005 0.0004035087 "0.0152449454 0.0660106042 0.0278012118 "0.9165138263 3.0338542247

    0.0126352249 "0.0154097276 "0.0016566926 "0.0011039321 "0.0095079946 0.0207855843 "0.0017428675 0.097064234 "1.2736676907

    9 10 11 12 13 14 15 16 17

    "1.28391"015 8.337051"019 "9.70433"016 "7.26157"016 8.920644"017 "8.191152"016 "6.52999"016 "2.92266"016 "1.630054"016

    1.297054"015 "1.77644"016 2.353451"015 "5.51250"016 "1.98159"015 5.292094"016 3.443744"016 "2.06007"016 1.240068"016

    =ill

    6.134072"015 4.637878"015 3.139293"016 3.647928"015 4.890404"015 1.788468"015 6.907198"016 3.458987"016 "9.746977"017

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    6.134072 015 4.637878 015 3.139293 016 3.647928 015 4.890404 015 1.788468 015 6.907198 016 3.458987 016 9.746977 017

    "1.07022"014 "8.06508"015 "2.66080"015 "4.28354"015 "5.14372"015 "2.797063"015 "1.08618"015 "2.19139"016 1.065199"016

    1.469359"014 1.176553"014 4.645571"015 4.593341"015 5.269205"015 3.547621"015 1.390157"015 1.563413"016 "1.248314"016

    "1.40077"013 "1.14386"013 "4.59559"014 "4.12756"014 "4.69954"014 "3.326858"014 "1.30837"014 "1.28419"015 1.154360"015

    2.470554"012 1.948759"012 7.534529"013 8.115035"013 9.379085"013 6.053907"013 2.365962"013 2.986614"014 "2.157290"014

    1.242571"011 9.406564"012 3.195008"012 4.846587"012 5.787114"012 3.219680"012 1.250835"012 2.372998"013 "1.212868"013

    1 "2.44772"012 "5.90821"013 "1.57727"012 "1.97804"012 "9.133238"013 "3.54394"013 "1.08336"013 3.871118"014

    2.8071715069 1 "1.35669"013 6.783458"013 9.836014"013 2.713383"013 1.017519"013 8.267339"014 "2.190229"014

    3.6572498963 2.19066143 1 3.470498"013 9.567318"013 "1.547654"013 "1.10212"013 1.020045"013 "5.022773"014

    6.7280317602 4.8192175555 3.0615323794 1 "1.36188"013 1.561177"013 9.632792"014 "2.49124"015 2.260525"014

    9.2900261753 7.4834210274 5.6682490194 3.0619741137 1 2.005339"013 1.378671"013 3.760010"014 3.133342"014

    11.2335677684 9.8047450568 8.2639815402 5.6680317164 3.0578125673 1 "3.39856"013 "1.69928"013 "8.823177"014

    12.5603044291 11.5988184468 10.4843655457 8.2716985568 5.6744430355 3.0720549713 1 "3.74663"014 "1.605700"014

    13.1636430338 12.6510489667 11.9903273658 10.349914877 8.1753567947 5.6314933064 3.0448395148 1 "8.304450"015

    13.6725360358 13.5019960864 13.2061367002 12.0876583483 10.4246809803 8.235904375 5.6405402611 3.0392400743 1

    15.3088733142 15.3440399351 15.2661554107 14.4263169584 13.0386104163 11.0488519366 8.4593688573 5.5301798601 2.760186534

    26.3592135969 26.6307136782 26.7391971201 25.7110552053 23.834746365 20.9637844425 16.9955877193 12.1874197968 7.19373539641 1 1 1 1 1 1 1 1

    9 10 11 12 13 14 15 16 17

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    0 0 0 0 0 0 0 0 0

    =ill

    0.0094861635 0 0 0 0 0 0 0 0

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    Page 56

    "0.0266292879 0.0144610827 0 0 0 0 0 0 0

    0.0236424834 "0.031679336 0.022084514 0 0 0 0 0 0

    "0.0078731061 0.0272962095 "0.0676124548 0.029300478 0 0 0 0 0

    0.0012472294 "0.0122322918 0.0818470614 "0.0897173052 0.0386962988 0 0 0 0

    "3.99069"005 0.0026984934 "0.0495494509 0.1082626646 "0.1183260287 0.0507703828 0 0 0

    1.195992"005 "0.0002582276 0.0155098764 "0.0658578412 0.1439241216 "0.1559694069 0.0662672206 0 0

    1.259087"005 "2.26369"005 "0.0023340138 0.0210596133 "0.0882296632 0.1889887423 "0.2017730517 0.086031727 0

    1.115073"005 "0.000020547 8.972417"005 "0.0030722519 0.0274666131 "0.1127704579 0.2394538191 "0.2614710723 0.110014983

    0.000005685 "0.000010359 1.775174"006 4.516506"005 "0.0025734945 0.024574064 "0.105674802 0.2459380089 "0.3036618746

    5.178220"006 "9.54610"006 "4.44333"007 0.000011823 "0.000589923 0.0033513836 0.001842309 "0.0788492673 0.3337694209

    0.0001198598 "0.0002228413 "3.65873"005 "3.23457"005 "0.0003679242 0.0010552921 "0.000115495 0.0083506037 "0.1401225293

    9 10 11 12 13 14 15 16 17

    "6.11808"017 3.972782"020 "4.62432"017 "3.46029"017 4.250877"018 "3.903259"017 "3.11168"017 "1.39271"017 "7.767557"018

    "2.13073"017 "4.09934"018 1.583882"017 "4.19421"017 "4.25234"017 "2.053341"017 "1.81725"017 "1.65120"017 "3.651301"018

    6.976858"017 5.264508"017 2.744342"017 1.634381"017 2.227412"017 1.292962"017 "1.11848"019 "6.69054"018 "2.545309"018

    2.510122"017 1.614561"017 9.924188"018 7.497571"018 1.171302"017 4.306732"018 "2.05366"018 "4.76479"018 "1.645925"018

    1.957368"017 1.415902"017 8.302661"018 5.483184"018 8.628430"018 3.443979"018 "1.37471"018 "3.49800"018 "1.212346"0181.837647"017 1.183607"017 8.480535"018 5.531014"018 8.031196"018 3.166829"018 "1.21468"018 "3.14204"018 "1.091677"018

    1.874364"017 1.236722"017 8.639850"018 5.745069"018 8.400743"018 3.312125"018 "1.23737"018 "3.23649"018 "1.126944"018

    2.087856"017 1.337168"017 9.521557"018 6.313847"018 9.165849"018 3.616711"018 "1.32015"018 "3.48848"018 "1.216093"018

    0.0094861635 1.670538"017 1.153816"017 7.835647"018 1.148951"017 4.524090"018 "1.61934"018 "4.32068"018 "1.507529"018

    0.0139654513 0.0144610827 2.144864"017 1.520752"017 2.046418"017 7.848686"018 "2.85102"018 "7.59645"018 "2.649841"018

    0.0154817408 0.0167003571 0.022084514 1.323342"017 2.244988"017 8.627288"018 "3.02220"018 "8.08969"018 "2.821910"018

    0.0186109387 0.0203855905 0.0220919073 0.029300478 3.974182"017 2.688300"017 1.547746"018 "1.02115"017 "3.407309"018

    0.0221129951 0.0242803926 0.0265148842 0.02876976 0.0386962988 2.861534"017 3.645378"019 "1.23323"017 "4.116399"018

    0.025795781 0.0282009251 0.0307643126 0.0337195678 0.0369202859 0.0507703828 1.847331"017 "1.48438"017 "4.913935"018

    =ill

    0.0302193362 0.032761383 0.035523189 0.0389370212 0.0430284773 0.0476071375 0.0662672206 5.288348"018 9.202987"018

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    0.0346246725 0.0371445036 0.0399185888 0.0435120441 0.0480528637 0.0536179303 0.0601797501 0.086031727 6.758170"018

    0.0378472056 0.0401487035 0.0427090677 0.0461532709 0.0506545391 0.0564451238 0.0638603071 0.0728908728 0.110014983

    0.0273424479 0.0287613549 0.0303534208 0.0325652515 0.0355241332 0.0394444135 0.0446840639 0.0515151486 0.0599314508

    0.0261737822 0.0273528042 0.0286835942 0.0305745156 0.0331389383 0.0365893549 0.0412925124 0.047591446 0.0556701757

    0.7383394853 0.729802903 0.7213565214 0.716468091 0.7139844637 0.7155256572 0.7237161459 0.7419708056 0.7743833905

    9 10 11 12 13 14 15 16 17

    1.228720"013 "6.52757"014 2.367845"014 2.815816"014 "1.59990"014 5.119666"015 5.119666"015 3.519770"015 1.279916"015"3.09703"014 8.516828"014 "1.22775"013 "9.95473"015 4.534934"014 "2.765204"015 "4.97737"015 6.083448"015 "5.530408"016

    "2.54263"013 "1.80783"013 3.265758"014 "8.16440"015 "5.13191"014 "2.536794"014 "8.16440"015 "2.62427"015 "1.166342"015

    "1.13658"014 7.728745"014 3.807544"014 3.978031"015 "1.47755"014 3.409741"015 2.273160"015 "8.52435"016 1.136580"015

    3.652131"014 0 1.826065"015 "5.02168"015 1.826065"015 "7.760778"015 4.793422"015 "2.28258"016 2.739098"015

    "5.52530"014 3.683532"015 "1.16645"014 "6.75314"015 1.534805"014 "2.455688"015 "3.99049"015 "3.06961"016 "6.139221"016

    0 1.438190"014 "6.53723"016 2.745635"014 "2.22266"014 7.844670"015 1.634306"015 9.805838"016 0

    3.039249"014 "1.28584"014 "3.50683"015 "1.46118"014 7.598124"015 "6.721417"015 3.214591"015 0 "1.753413"015

    105.416694357 6.673341"015 7.626675"015 "5.24334"015 1.430002"015 5.720006"015 "5.48167"015 1.906669"015 "4.766672"016

    "101.80369903 69.1511157191 4.440188"015 "5.18022"015 1.480063"015 1.110047"015 "7.40031"016 7.400314"016 1.850079"015

    3.0847043058 "52.292222739 45.280597882 1.067991"014 "4.85451"016 9.709012"016 0 "2.66998"015 9.709012"0161.5452950796 "8.6842061481 "34.140561481 34.1291360486 3.796092"015 "9.490231"015 "3.79609"015 4.428774"015 "3.163410"015

    0.3748829909 "1.1022108525 "5.6437968701 "25.374185205 25.8422648136 3.326991"015 "1.18821"015 1.663496"015 0

    "0.1810848536 "0.1550024396 "0.6588663086 "4.215007508 "18.792527311 19.6965227521 "7.15722"016 "5.72578"015 1.073583"015

    "0.4172498405 "0.2257055392 "0.0749804591 "0.549440558 "3.279070288 "14.1502096918 15.0904171245 "2.70251"015 5.405013"016

    "0.4898363102 "0.3304172583 "0.1275342643 "0.0774253548 "0.4282696617 "2.3773868963 "10.555844495 11.6236188108 4.085384"016

    "0.4719712745 "0.3553324783 "0.1912054235 "0.1018582814 "0.0696459531 "0.3167397916 "1.7657045305 "7.7012757474 9.0896709952

    "0.2452229238 "0.1909770473 "0.1120939295 "0.0692726665 "0.0304058294 "0.0241012089 "0.1874625526 "1.0418743202 "4.1354758183

    "0.2280466159 "0.1820199967 "0.1144799563 "0.08076746 "0.048545249 "0.0275880997 "0.0721288807 "0.3984988134 "1.6627225108

    "5.5844658803 "4.6330212199 "3.2170791897 "2.6611790143 "2.1938005213 "1.8004970638 "1.5092766654 "1.4819699299 "2.2914726661

    =ill

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    9 10 11 12 13 14 15 16 17

    1.305515"013 "6.01561"014 3.135795"014 1.983870"014 "2.11186"014 7.039540"015 5.439645"015 5.439645"015 1.919875"015

    "4.75615"014 8.406220"014 "1.26093"013 "1.10608"014 4.313718"014 1.382602"015 "2.76520"015 3.871285"015 "5.530408"016

    "2.60094"013 "1.73785"013 3.090807"014 "5.24854"015 "5.19022"014 "2.886697"014 "9.91391"015 "2.33268"015 5.831711"016

    1.591212"014 5.228269"014 4.319005"014 "1.70487"015 "2.27316"015 "2.841451"016 "1.13658"015 1.136580"015 0

    "1.55216"014 1.643459"014 9.130327"016 2.739098"015 "7.30426"015 3.195614"015 1.597807"015 2.282582"016 1.369549"015

    4.665808"014 "9.82275"015 "1.35063"014 5.525299"015 "6.13922"016 2.455688"015 1.227844"015 "1.22784"015 "1.227844"015

    "1.83042"014 1.830423"014 "3.92234"015 "4.57606"015 6.537225"016 "6.537225"015 "3.26861"016 1.307445"015 "1.307445"015"5.14335"014 8.182595"015 7.013652"015 "8.76707"015 4.091297"015 8.767066"016 1.168942"015 8.767066"016 3.506826"015

    104.416694357 "3.81334"015 0 1.763669"014 "3.81334"015 1.430002"015 1.191668"015 "4.52834"015 "4.766672"016

    "101.80369903 68.1511157191 1.110047"014 "1.11005"014 7.030298"015 "7.030298"015 2.590110"015 3.700157"016 "2.220094"015

    3.0847043058 "52.292222739 44.280597882 "2.91270"015 "3.39815"015 0 "4.85451"015 1.213627"015 2.912704"015

    1.5452950796 "8.6842061481 "34.140561481 33.1291360486 "8.85755"015 3.163410"016 "1.89805"015 9.490231"016 "4.428774"015

    0.3748829909 "1.1022108525 "5.6437968701 "25.374185205 24.8422648136 "1.425853"015 4.752845"016 4.752845"016 2.376422"015

    "0.1810848537 "0.1550024397 "0.6588663089 "4.2150075104 "18.792527322 18.6965227633 "5.36791"015 "7.15722"016 "2.505027"015

    "0.4172840779 "0.2257240594 "0.0749866116 "0.5494856424 "3.2793393522 "14.1513707878 14.0916553692 "8.10818"016 1.081091"015

    "0.49762118 "0.3356685131 "0.1295611407 "0.0786558604 "0.4350760651 "2.4151702271 "10.723606404 10.8083506416 4.150313"016

    "0.5546009246 "0.4175417693 "0.224680421 "0.1196909645 "0.081839112 "0.3721925268 "2.0748325546 "9.0495648375 9.681031263"0.3724038417 "0.2900242156 "0.1702296397 "0.1051998188 "0.0461753229 "0.0366009125 "0.2846869848 "1.5822256477 "6.280273713

    "0.4373912238 "0.3491126093 "0.2195714591 "0.1549112143 "0.0931093223 "0.0529137108 "0.1383425019 "0.7643169052 "3.1890858416

    "30.537342222 "25.334590192 "17.591843209 "14.552033447 "11.996283749 "9.8455960132 "8.2531255501 "8.1038050695 "12.5303809708

    =ill

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    9 10 11 12 13 14 15 16 17

    "7.45847"017 "1.46516"017 "6.91004"017 "4.15631"017 "5.03098"018 "5.479807"017 "4.23664"017 "2.92963"017 "5.976898"018

    "2.67552"017 "1.06101"017 8.471538"018 "4.77090"017 "4.96359"017 "3.104670"017 "2.33731"017 "2.45531"017 "5.274807"018

    7.534015"017 5.602714"017 3.213252"017 2.140212"017 2.705704"017 1.307833"017 "1.47331"019 "8.30512"018 "2.609926"018

    2.621945"017 1.782803"017 1.028001"017 8.104617"018 1.084887"017 3.726912"018 "2.91385"018 "8.24503"018 "2.854913"018

    2.138719"017 1.404364"017 9.212475"018 6.889196"018 9.803641"018 2.641894"018 "1.46032"018 "4.64208"018 "9.094650"019

    1.818555"017 1.399591"017 8.975920"018 5.173929"018 8.613913"018 2.020273"018 "1.22604"018 "3.61735"018 "7.015017"019

    2.074190"017 1.505942"017 1.181816"017 7.991725"018 1.072225"017 4.490123"018 "1.03050"018 "3.86834"018 7.277976"020

    2.262845"017 1.278926"017 9.513052"018 6.778655"018 7.463826"018 1.432025"018 "4.28309"018 "6.98515"018 "2.681043"018

    0.0095770126 1.573260"017 1.094132"017 6.225184"018 1.313294"017 3.888938"018 "2.59246"018 "4.29162"018 "2.829673"018

    0.01430608 0.0146732741 2.062573"017 1.737222"017 2.247261"017 1.197706"017 "5.70272"018 "6.47653"018 "1.707955"018

    0.0162272982 0.0173280884 0.0225832542 2.028036"017 2.411084"017 9.526264"018 "9.43823"018 "1.90384"017 "1.233705"017

    0.0200260794 0.0217034457 0.0232727162 0.0301849103 5.103423"017 2.360183"017 1.889444"018 "1.21500"017 7.497652"019

    0.0246316946 0.0267558739 0.0289016124 0.0308312269 0.0402539788 2.085874"017 "1.08475"017 "2.72324"017 "1.199692"0170.0300561354 0.0325184513 0.035092534 0.0377945304 0.0404606784 0.0534858814 3.441790"017 "3.94618"018 1.297631"017

    0.0372956634 0.0400562925 0.0429947444 0.0463065997 0.0499998404 0.0537125356 0.0709639836 "2.03844"017 "4.784140"018

    0.0459364057 0.0489069863 0.0521026774 0.0558496058 0.0602692861 0.065243035 0.0704075815 0.0925210546 "2.496490"018

    0.0540868976 0.0570814744 0.0603240964 0.0642179491 0.0689498467 0.0745553463 0.0810240496 0.0864861666 0.1032947806

    0.0415822726 0.0436133963 0.0458221244 0.0485192233 0.0518548311 0.0559150782 0.0608303054 0.0654928141 0.0616151298

    0.0409513202 0.042751295 0.044712415 0.0471245682 0.0501300329 0.0538289316 0.0583883217 0.0628486322 0.0594135863

    1.1716896724 1.1691833037 1.1664587632 1.1631365919 1.1590343135 1.1540531093 1.1479477374 1.1229294006 0.9620807269

    =ill

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    =ill

  • 8/18/2019 BallParam_Reverse Ejemplo N°5

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    Page 61

    =ill

  • 8/18/2019 BallParam_Reverse Ejemplo N°5

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    Page 62

    18 19 20

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 00 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0.1317278093 0 0

    0 0.148623583 0

    0 0 1

    0

    =ill

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    Page 63

    18 19 20

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 00 0 0

    0 0 0

    0 0 0

    0 0 0

    1 0 0

    "3.7053979849 1 0

    2.7053979849 "1 1

    18 19 20

    1.023775"016 0 0

    "1.813541"016 0 0

    =ill

    1.032042"016 0 0

    "4.675677"017 0 0

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    Page 64

    2.739555"017 0 0

    "2.148875"016 0 0

    5.439811"015 0 0

    4.957116"014 0 0

    "2.681922"014 0 02.929724"014 0 0

    7.571099"014 0 0

    "2.667151"014 0 0

    "2.601410"014 0 0

    5.093257"014 0 0

    6.690418"015 0 0

    2.768150"015 0 0

    1.643261"015 0 0

    1 0 0

    3.7053979849 1 01 1 1

    18 19 20

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    =ill

    0 0 0

    0 0 0

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    Page 65

    0 0 0

    0 0 0

    0 0 0

    0 0 0

    0 0 00 0 0

    0 0 0

    0.1317278093 0 0

    "0.4881039592 0.148623583 0

    0.3563761499 "0.148623583 1

    18 19 20

    4.878504"018 0 0

    "1.139246"019 0 0

    7.106380"020 0 0

    4.540406"020 0 0

    3.101751"020 0 0

    2.706480"020 0 0

    2.735075"020 0 0

    2.857909"020 0 0

    3.462359"020 0 0

    6.338274"020 0 0

    5.788251"020 0 0

    6.264813"020 0 0

    6.792077"020 0 0

    7.278762"020 0 0

    =ill

    2.093235"018 0 0

    1.913354"018 0 0

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    2.026605"018 0 0

    0.1317278093 0 0

    0.0626055659 0.148623583 0

    0.8056666248 0.851376417 1

    18 19 20

    "1.279916"015 "1.27992"015 05.530408"016 1.106082"015 0

    1.749513"015 "1.16634"015 0

    0 0 0

    "1.826065"015 9.130327"016 0

    1.227844"015 0 0

    "1.961168"015 "1.30745"015 0

    0 0 0

    2.860003"015 0 0

    "1.480063"015 1.480063"015 0

    1.941802"015 9.709012"016 0

    "6.326820"016 "2.53073"015 0

    "9.505690"016 2.851707"015 0

    0 "4.29433"015 0

    "5.405013"016 3.243008"015 0

    "1.634154"015 0 0

    2.472933"015 0 0

    7.591411451 9.699717"016 0

    "3.197773868 6.7284072931 0

    "3.393637583 "5.7284072931 1

    =ill

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    18 19 20

    "1.279916"015 0 0

    1.659122"015 1.106082"015 0

    "5.831711"016 0 0

    1.136580"015 1.136580"015 0

    "2.739098"015 "2.73910"015 0

    1.227844"015 0 0

    0 0 00 0 0

    0 9.533344"016 0

    1.480063"015 "1.48006"015 0

    0 2.912704"015 0

    1.265364"015 "1.26536"015 0

    0 0 0

    "2.147166"015 "1.43144"015 0

    "5.405457"016 2.162183"015 0

    8.300625"016 "1.66013"015 0

    "7.264695"016 0 0

    10.5285746733 "2.94606"015 0

    "6.1332996341 11.9050207087 0

    "18.5573113835 "31.324452086 4.4682655202

    =ill

    < h =ill

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    =ill

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