#! /bin/sh # This is a shell archive. Remove anything before this line, then unpack # it by saving it into a file and typing "sh file". To overwrite existing # files, type "sh file -c". You can also feed this as standard input via # unshar, or by typing "sh 'AREADME.1ST' <<'END_OF_FILE' X *************************************************************************** X * All the software contained in this library is protected by copyright. * X * Permission to use, copy, modify, and distribute this software for any * X * purpose without fee is hereby granted, provided that this entire notice * X * is included in all copies of any software which is or includes a copy * X * or modification of this software and in all copies of the supporting * X * documentation for such software. * X *************************************************************************** X * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED * X * WARRANTY. IN NO EVENT, NEITHER THE AUTHORS, NOR THE PUBLISHER, NOR ANY * X * MEMBER OF THE EDITORIAL BOARD OF THE JOURNAL "NUMERICAL ALGORITHMS", * X * NOR ITS EDITOR-IN-CHIEF, BE LIABLE FOR ANY ERROR IN THE SOFTWARE, ANY * X * MISUSE OF IT OR ANY DAMAGE ARISING OUT OF ITS USE. THE ENTIRE RISK OF * X * USING THE SOFTWARE LIES WITH THE PARTY DOING SO. * X *************************************************************************** X * ANY USE OF THE SOFTWARE CONSTITUTES ACCEPTANCE OF THE TERMS OF THE * X * ABOVE STATEMENT. * X *************************************************************************** X X AUTHOR: X X P. C. HANSEN X DEPT. OF MATHEMATICAL MODELLLING X TECHNICAL UNIVERSITY OF DENMARK X X REFERENCE: X X REGULARIZATION TOOLS: A MATLAB PACKAGE FOR ANALYSIS AND SOLUTION OF X DISCRETE ILL-POSED PROBLEMS, X NUMERICAL ALGORITHMS, 6 (1994), PP. 1-35 X X SOFTWARE REVISION: X X Ver 2.1 MARCH 31, 1998 X X SOFTWARE LANGUAGE: X X MATLAB 4 X X************************************************************************** X XRegularization Tools. XVersion 2.1 31-March-98. XCopyright (c) 1998 by Per Christian Hansen and UNI-C. X XThe installation of Regularization Tools is very simple: X X 1. Unpack the shell archive na4-matlab4 by executing the command X /bin/sh na4-matlab4 X X 2. Remove the file na4-matlab4 X X 3. If the Spline Toolbox is installed on your computer, then remove X the following 10 m-files X fnder.m sp2pp.m X ppbrk.m sorted.m X ppcut.m spbrk.m X ppmak.m spmak.m X ppual.m sprpp.m X X 4. The file Manual.ps contains the related manual in PostScript form X (not revised) X X*************************************************************** X* This is Version 2.1 of Regularization Tools for Matlab 4.2c * X*-------------------------------------------------------------* X* Per Christian Hansen, IMM * X*************************************************************** X XRevisions in Version 2.1 X X02/01/94: XFixed bug in cgls (s -> s2). X X08/03/94: XExpanded stopping criterion in newton. X X11/01/94: XModified get_l slightly such that the sign of L*x is correct. X X02/09/95: XRenamed csd to csdecomp (csd is now a function in the Signal Proc. Toolbox). XRevised gsvd to call csdecomp. X X07/02/97: XFixed bug in pcgls when computing filter factors. X X11/11/97: XModified gen_hh to compensate for Matlab's signum function. X X12/29/97: XCorrected bugs in discrep and lsqi. 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Fo(|except)p eop X%%Page: 9 10 X9 9 bop 59 166 a Fm(2.3.)34 b(SVD)15 b(AND)g(GENERALIZED)h(SVD)969 Xb Fo(9)p 59 178 1772 2 v 59 306 a(for)16 b(singular)h(v)o(ectors)e X(asso)q(ciated)i(with)f(m)o(ultiple)i(singular)f(v)m(alues.)24 Xb(In)17 b(connection)g(with)g(discrete)59 362 y(ill-p)q(osed)h X(problems,)d(t)o(w)o(o)f(c)o(haracteristic)i(features)f(of)f(the)i(SVD) Xf(of)g Fn(A)g Fo(are)g(v)o(ery)g(often)f(found.)127 455 Xy Fk(\017)23 b Fo(The)10 b(singular)i(v)m(alues)f Fn(\033)585 X462 y Fl(i)610 455 y Fo(deca)o(y)f(gradually)h(to)f(zero)g(with)h(no)g X(particular)g(gap)f(in)h(the)g(sp)q(ectrum.)173 512 y(An)i(increase)h X(of)f(the)g(dimensions)h(of)f Fn(A)g Fo(will)i(increase)f(the)f(n)o(um) Xo(b)q(er)g(of)g(small)h(singular)g(v)m(alues.)127 605 Xy Fk(\017)23 b Fo(The)14 b(left)g(and)g(righ)o(t)g(singular)h(v)o X(ectors)e Fn(u)889 612 y Fl(i)917 605 y Fo(and)h Fn(v)1026 X612 y Fl(i)1053 605 y Fo(tend)h(to)e(ha)o(v)o(e)h(more)f(sign)h(c)o X(hanges)g(in)h(their)173 661 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y(n)o(umerical)k(n)o(ull-v)o(ectors)f(of)f Fn(A)p XFo(.)28 b(F)l(rom)16 b(this)i(and)g(the)g(c)o(haracteristic)g(features) Xf(of)g Fn(A)h Fo(w)o(e)f(conclude)59 1529 y(that)i(the)g(matrix)g(in)h X(a)f(discrete)i(ill-p)q(osed)h(problem)e(is)g(alw)o(a)o(ys)e(highly)j X(ill-conditione)q(d,)i(and)c(its)59 1586 y(n)o(umerical)e(n)o X(ull-space)g(is)e(spanned)h(b)o(y)f(v)o(ectors)g(with)g(man)o(y)g(sign) Xh(c)o(hanges.)130 1642 y(The)10 b(SVD)h(also)f(giv)o(es)g(imp)q(ortan)o X(t)g(insigh)o(t)h(in)o(to)g(another)f(asp)q(ect)g(of)g(discrete)h X(ill-p)q(osed)i(problems,)59 1699 y(namely)k(the)g(smo)q(othing)f X(e\013ect)h(t)o(ypically)h(asso)q(ciated)f(with)f(a)h(square)f(in)o X(tegrable)h(k)o(ernel.)25 b(Notice)59 1755 y(that)19 Xb(as)g Fn(\033)248 1762 y Fl(i)281 1755 y Fo(decreases,)i(the)f X(singular)g(v)o(ectors)f Fn(u)941 1762 y Fl(i)974 1755 Xy Fo(and)h Fn(v)1089 1762 y Fl(i)1122 1755 y Fo(b)q(ecome)g(more)f(and) Xh(more)f(oscillatory)l(.)59 1812 y(Consider)i(no)o(w)e(the)h(mapping)h 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Fl(n)1501 1694 y Fo(\))14 Xb(are)g(iden)o(tical)i(to)59 1751 y(the)f(singular)h(v)m(alues)h(of)e XFn(A)p Fo(|except)h(for)e(the)i(ordering)f(of)g(the)g(singular)h(v)m X(alues)h(and)e(v)o(ectors.)130 1807 y(In)g(general,)f(there)h(is)g(no)f X(connection)h(b)q(et)o(w)o(een)g(the)g(generalized)h(singular)f(v)m X(alues/v)o(ectors)f(and)59 1863 y(the)e(ordinary)g(singular)h(v)m X(alues/v)o(ectors.)19 b(F)l(or)11 b(discrete)i(ill-p)q(osed)i X(problems,)e(though,)f(w)o(e)g(can)g(actu-)59 1920 y(ally)17 Xb(sa)o(y)d(something)i(ab)q(out)g(the)f(SVD-GSVD)h(connection)g(b)q X(ecause)h Fn(L)e Fo(is)h(t)o(ypically)h(a)e(reasonably)59 X1976 y(w)o(ell-conditioned)23 b(matrix.)33 b(When)20 Xb(this)g(is)g(the)g(case,)h(then)f(it)g(can)f(b)q(e)i(sho)o(wn)e(that)g X(the)h(matrix)59 2033 y Fn(X)h Fo(in)d(\(2.11\))e(is)i(also)f(w)o X(ell-conditioned.)30 b(Hence,)18 b(the)g(diagonal)g(matrix)f(\006)h(m)o X(ust)f(displa)o(y)h(the)g(ill-)59 2089 y(conditioning)g(of)d XFn(A)p Fo(,)h(and)g(since)h Fn(\015)660 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X(example)f(of)f(the)h(use)g(of)f(GSVD)h(in)g(the)g(analysis)g(of)f X(discrete)i(regulariza-)59 2428 y(tion)d(problems,)g(w)o(e)g(men)o X(tion)g(the)f(follo)o(wing)i(p)q(erturbation)f(b)q(ound)h(for)e X(Tikhono)o(v)h(regularization)59 2484 y(deriv)o(ed)j(in)g([40].)28 Xb(Let)19 b Fn(E)h Fo(and)f Fn(e)f Fo(denote)g(the)h(p)q(erturbations)f X(of)g Fn(A)h Fo(and)f Fn(b)p Fo(,)g(resp)q(ectiv)o(ely)l(,)j(and)d(let) X62 2541 y(\026)-26 b Fn(x)85 2548 y Fl(\025)124 2541 Xy Fo(denote)18 b(the)g(exact)f(solution)i(to)e(the)g(unp)q(erturb)q(ed) Xi(problem;)h(then)d(the)h(relativ)o(e)g(error)f(in)i(the)59 X2597 y(p)q(erturb)q(ed)d(solution)g Fn(x)469 2604 y Fl(\025)506 X2597 y Fo(satis\014es)207 2678 y Fk(k)p Fn(x)256 2685 Xy Fl(\025)288 2678 y Fk(\000)d Fo(\026)-26 b Fn(x)359 X2685 y Fl(\025)381 2678 y Fk(k)404 2685 y Fj(2)p 207 X2698 216 2 v 259 2740 a Fk(k)s Fo(\026)g Fn(x)308 2747 Xy Fl(\025)329 2740 y Fk(k)352 2747 y Fj(2)469 2709 y XFk(\024)591 2678 y(k)p Fn(A)p Fk(k)671 2685 y Fj(2)697 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Fi(\023)1715 2833 y Fo(\(2.14\))p eop X%%Page: 11 12 X11 11 bop 59 166 a Fm(2.4.)34 b(THE)15 b(DISCRETE)h(PICARD)f(CONDITION) Xh(AND)g(FIL)l(TER)g(F)-5 b(A)o(CTORS)251 b Fo(11)p 59 X178 1772 2 v 59 306 a(where)14 b(w)o(e)g(ha)o(v)o(e)g(de\014ned)h XFn(b)534 313 y Fl(\025)568 306 y Fo(=)e Fn(A)8 b(x)684 X313 y Fl(\025)720 306 y Fo(and)14 b Fn(r)828 313 y Fl(\025)862 X306 y Fo(=)f Fn(b)7 b Fk(\000)i Fn(b)1001 313 y Fl(\025)1022 X306 y Fo(.)19 b(The)c(imp)q(ortan)o(t)e(conclusion)j(w)o(e)e(can)g(mak) Xo(e)59 362 y(from)i(this)h(relation)g(is)g(that)e(for)h(all)h X(reasonable)g Fn(\025)f Fo(the)h(p)q(erturbation)g(b)q(ound)g(for)f X(the)g(regularized)59 419 y(solution)h Fn(x)258 426 y XFl(\025)295 419 y Fo(is)f(prop)q(ortional)h(to)e Fn(\025)687 X402 y Ff(\000)p Fj(1)747 419 y Fo(and)h(to)f(the)h(norm)f(of)g(the)h X(matrix)g Fn(X)t Fo(.)21 b(The)16 b(latter)f(quan)o(tit)o(y)59 X475 y(is)i(analyzed)g(in)g([41)o(])f(where)g(it)h(is)f(sho)o(wn)g(that) Xg Fk(k)p Fn(X)t Fk(k)988 482 y Fj(2)1021 475 y Fo(is)h(appro)o X(ximately)f(b)q(ounded)i(b)o(y)e Fk(k)p Fn(L)1673 459 Xy Ff(y)1690 475 y Fk(k)1713 482 y Fj(2)1731 475 y Fo(,)g(i.e.,)59 X532 y(b)o(y)i(the)g(in)o(v)o(erse)g(of)f(the)h(smallest)h(singular)f(v) Xm(alue)h(of)f Fn(L)p Fo(.)27 b(Hence,)19 b(in)g(addition)g(to)e(con)o X(trolling)i(the)59 588 y(smo)q(othness)12 b(of)f(the)h(regularized)h X(solution,)g Fn(\025)f Fo(and)g Fn(L)f Fo(also)h(con)o(trol)g(its)g X(sensitivit)o(y)h(to)e(p)q(erturbations)59 645 y(of)k XFn(A)g Fo(and)g Fn(b)p Fo(.)130 702 y(The)k(SVD)g(and)h(the)f(GSVD)g X(are)g(computed)h(b)o(y)f(means)g(of)g(routines)h Fe(csvd)g XFo(and)f Fe(gsvd)h Fo(in)g(this)59 759 y(pac)o(k)m(age.)g(The)15 Xb(routine)h Fe(bsvd)h Fo(computes)e(the)g(SVD)g(of)g(a)g(bidiagonal)i X(matrix.)59 894 y Fs(2.4.)h(The)g(Discrete)f(Picard)i(Condition)g(and)g X(Filter)e(F)-5 b(actors)59 998 y Fo(As)13 b(w)o(e)g(ha)o(v)o(e)g(seen)h X(in)g(Section)g(2.3,)e(the)h(in)o(tegration)g(in)h(Eq.)f(\(2.1\))f 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y(\026)637 1889 y Fn(b)f Fo(is)h(the)f(unp)q X(erturb)q(ed)i(righ)o(t-hand)f(side.)33 b(Both)1540 1877 Xy(\026)1541 1889 y Fn(b)19 b Fo(and)g(the)h(cor-)59 1946 Xy(resp)q(onding)g(unp)q(erturb)q(ed)h(solution)h(\026)-26 Xb Fn(x)19 b Fo(represen)o(t)g(the)g(underlying)i(unp)q(erturb)q(ed)f X(and)f(unkno)o(wn)59 2002 y(problem.)h(No)o(w,)12 b(if)h(w)o(e)g(w)o X(an)o(t)f(to)g(b)q(e)h(able)h(to)e(compute)h(a)f(regularized)j X(solution)e Fn(x)1482 2009 y Fl(r)q(eg)1546 2002 y Fo(from)f(the)h(giv) Xo(en)59 2059 y(righ)o(t-hand)h(side)g Fn(b)e Fo(suc)o(h)i(that)e XFn(x)625 2066 y Fl(r)q(eg)690 2059 y Fo(appro)o(ximates)g(the)i(exact)f X(solution)j(\026)-26 b Fn(x)p Fo(,)14 b(then)f(it)h(is)f(sho)o(wn)g(in) Xh([44)o(])59 2115 y(that)g(the)h(corresp)q(onding)g(exact)f(righ)o X(t-hand)h(side)957 2103 y(\026)959 2115 y Fn(b)f Fo(m)o(ust)g(satisfy)g X(a)g(criterion)i(v)o(ery)e(similar)i(to)e(the)59 2172 Xy(Picard)i(condition:)59 2289 y Fp(The)21 b(discrete)g(Picard)g X(condition)p Fo(.)31 b(The)18 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X(v)o(e)f(this)i(curv)o(e.)59 2407 y(The)16 b(solution)h(computed)f(b)o X(y)g(Tikhono)o(v)g(regularization)g(is)h(therefore)e(optimal)i(in)f X(the)g(sense)g(that)59 2463 y(for)f(a)g(giv)o(en)h(residual)h(norm)e X(there)g(do)q(es)h(not)f(exist)h(a)f(solution)h(with)g(smaller)g X(seminorm)f(than)h(the)59 2520 y(Tikhono)o(v)k(solution|and)h(the)f X(same)g(is)g(true)g(with)g(the)g(roles)g(of)f(the)h(norms)f(in)o(terc)o X(hanged.)35 b(A)59 2576 y(consequence)17 b(of)d(this)i(is)g(that)e(one) Xi(can)f(compare)g(other)g(regularization)h(metho)q(ds)f(with)h(Tikhono) Xo(v)59 2633 y(regularization)k(b)o(y)f(insp)q(ecting)j(ho)o(w)c(close)i X(the)g(L-curv)o(e)f(for)g(the)g(alternativ)o(e)h(metho)q(d)f(is)h(to)f X(the)59 2689 y(Tikhono)o(v)e(L-curv)o(e.)25 b(If)497 X2677 y(\026)499 2689 y Fn(b)16 b Fo(satis\014es)h(the)g(discrete)g X(Picard)h(condition,)g(then)f(the)g(t)o(w)o(o)f(L-curv)o(es)h(are)59 X2746 y(close)k(to)e(eac)o(h)h(other)f(and)h(the)g(solutions)h(computed) 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X(corner)f(and)h(iden)o(ti\014es)i(the)e(corresp)q(onding)59 X929 y(regularization)e(parameter.)29 b(Giv)o(en)19 b(a)f(discrete)h X(set)f(of)h(v)m(alues)g(of)f Fk(k)p Fn(A)8 b(x)1356 936 Xy Fl(r)q(eg)1419 929 y Fk(\000)13 b Fn(b)p Fk(k)1510 X936 y Fj(2)1546 929 y Fo(and)19 b Fk(k)p Fn(L)8 b(x)1726 X936 y Fl(r)q(eg)1777 929 y Fk(k)1800 936 y Fj(2)1818 X929 y Fo(,)59 985 y(routine)14 b Fe(plot)p 290 985 V X16 w(lc)f Fo(plots)h(the)f(corresp)q(onding)h(L-curv)o(e,)f(while)i X(routine)e Fe(l)p 1283 985 V 17 w(co)o(rner)f Fo(lo)q(cates)h(the)g X(L-curv)o(e's)59 1042 y(corner.)59 1178 y Fs(2.6.)18 Xb(T)-5 b(ransformation)18 b(to)g(Standard)i(F)-5 b(orm)59 X1283 y Fo(A)16 b(regularization)h(problem)f(with)h(side)f(constrain)o X(t)g(\012\()p Fn(x)p Fo(\))d(=)h Fk(k)p Fn(L)8 b Fo(\()p XFn(x)h Fk(\000)i Fn(x)1330 1267 y Ff(\003)1349 1283 y XFo(\))p Fk(k)1390 1290 y Fj(2)1424 1283 y Fo(\(2.5\))j(is)j(said)f(to)f X(b)q(e)i(in)59 1340 y Fg(standar)n(d)f(form)f Fo(if)g(the)g(matrix)f XFn(L)h Fo(is)g(the)g(iden)o(tit)o(y)g(matrix)f Fn(I)1121 X1347 y Fl(n)1144 1340 y Fo(.)19 b(In)d(man)o(y)e(applications,)i X(regulariza-)59 1396 y(tion)g(in)h(standard)f(form)f(is)h(not)g(the)g X(b)q(est)g(c)o(hoice,)h(i.e.,)e(one)i(should)f(use)h(some)e XFn(L)f Fk(6)p Fo(=)g Fn(I)1583 1403 y Fl(n)1622 1396 Xy Fo(in)j(the)f(side)59 1453 y(constrain)o(t)j(\012\()p XFn(x)p Fo(\).)30 b(The)19 b(prop)q(er)g(c)o(hoice)h(of)e(matrix)h XFn(L)g Fo(dep)q(ends)h(on)f(the)g(particular)g(application,)59 X1509 y(but)c(often)g(an)g(appro)o(ximation)h(to)e(the)h(\014rst)g(or)g X(second)h(deriv)m(ativ)o(e)g(op)q(erator)e(giv)o(es)i(go)q(o)q(d)f X(results.)130 1567 y(Ho)o(w)o(ev)o(er,)23 b(from)e(a)i(n)o(umerical)h X(p)q(oin)o(t)f(of)f(view)h(it)g(is)g(m)o(uc)o(h)f(simpler)i(to)e(treat) Xg(problems)h(in)59 1624 y(standard)10 b(form,)h(basically)h(b)q(ecause) Xg(only)f(one)g(matrix,)f Fn(A)p Fo(,)i(is)f(in)o(v)o(olv)o(ed)g X(instead)g(of)g(the)f(t)o(w)o(o)g(matrices)59 1680 y XFn(A)17 b Fo(and)f Fn(L)p Fo(.)24 b(Hence,)17 b(it)g(is)g(con)o(v)o X(enien)o(t)g(to)f(b)q(e)h(able)g(to)f(transform)f(a)i(giv)o(en)g X(regularization)g(problem)59 1737 y(in)i(general)f(form)f(in)o(to)g(an) Xh(equiv)m(alen)o(t)h(one)f(in)g(standard)g(form)e(b)o(y)i(means)g(of)f X(n)o(umerically)i(stable)59 1793 y(metho)q(ds.)h(F)l(or)14 Xb(example,)h(for)f(Tikhono)o(v)h(regularization)h(w)o(e)e(w)o(an)o(t)g X(a)g(n)o(umerically)i(stable)f(metho)q(d)59 1850 y(for)e(transforming)g X(the)g(general-form)h(problem)g(\(2.6\))e(in)o(to)i(the)f(follo)o(wing) Xh(standard-form)f(problem)608 1957 y(min)699 1923 y Fi(\010)724 X1957 y Fk(k)758 1946 y Fo(\026)747 1957 y Fn(A)d Fo(\026)-26 Xb Fn(x)10 b Fk(\000)868 1945 y Fo(\026)870 1957 y Fn(b)o XFk(k)912 1938 y Fj(2)912 1968 y(2)940 1957 y Fo(+)h Fn(\025)1013 X1938 y Fj(2)1039 1957 y Fk(k)s Fo(\026)-26 b Fn(x)9 b XFk(\000)14 b Fo(\026)-26 b Fn(x)1169 1938 y Ff(\003)1188 X1957 y Fk(k)1211 1938 y Fj(2)1211 1968 y(2)1229 1923 Xy Fi(\011)1276 1957 y Fn(;)426 b Fo(\(2.21\))59 2065 Xy(where)13 b(the)f(new)h(matrix)511 2053 y(\026)499 2065 Xy Fn(A)q Fo(,)f(the)h(new)g(righ)o(t-hand)g(side)1033 X2053 y(\026)1035 2065 y Fn(b)p Fo(,)f(and)h(the)g(v)o(ector)h(\026)-26 Xb Fn(x)1401 2048 y Ff(\003)1433 2065 y Fo(are)12 b(deriv)o(ed)i(from)e X(the)59 2121 y(original)18 b(quan)o(tities)f Fn(A)p Fo(,)g XFn(L)p Fo(,)g Fn(b)p Fo(,)f(and)h Fn(x)726 2105 y Ff(\003)745 X2121 y Fo(.)25 b(Moreo)o(v)o(er,)15 b(w)o(e)i(also)f(w)o(an)o(t)g(a)g X(n)o(umerically)j(stable)e(sc)o(heme)59 2178 y(for)h(transforming)f X(the)h(solution)k(\026)-26 b Fn(x)686 2185 y Fl(\025)726 X2178 y Fo(to)18 b(\(2.21\))e(bac)o(k)i(to)g(the)g(general-form)h X(setting.)29 b(Finally)l(,)20 b(w)o(e)59 2234 y(prefer)14 Xb(a)g(transformation)f(that)g(leads)i(to)e(a)h(simple)h(relationship)h X(b)q(et)o(w)o(een)e(the)h(SVD)f(of)1644 2223 y(\026)1632 X2234 y Fn(A)g Fo(and)h(the)59 2291 y(GSVD)e(of)g(\()p XFn(A;)8 b(L)p Fo(\),)k(for)h(then)h(w)o(e)g(ha)o(v)o(e)f(a)g(p)q 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b(turns)g(out)f(that)g(it)h(is)59 2633 y(a)f(go)q(o)q(d)g(idea) Xg(to)g(distinguish)i(b)q(et)o(w)o(een)e(direct)h(and)f(iterativ)o(e)g X(regularization)h(metho)q(ds|cf.)g(the)59 2689 y(next)d(t)o(w)o(o)f X(sections.)27 b(F)l(or)17 b(the)g(direct)h(metho)q(ds)f(w)o(e)g(need)i X(to)d(b)q(e)i(able)g(to)f(compute)g(the)h(matrix)1809 X2678 y(\026)1797 2689 y Fn(A)59 2746 y Fo(explicitly)h(b)o(y)d X(standard)g(metho)q(ds)h(suc)o(h)g(as)e(the)i(QR)g(factorization.)23 Xb(F)l(or)16 b(the)g(iterativ)o(e)h(metho)q(ds,)59 2802 Xy(on)f(the)g(other)f(hand,)h(w)o(e)g(merely)g(need)h(to)e(b)q(e)i(able) Xg(to)e(compute)h(the)g(matrix-v)o(ector)f(pro)q(duct)1775 X2791 y(\026)1763 2802 y Fn(A)c Fo(\026)-26 b Fn(x)59 X2859 y Fo(e\016cien)o(tly)l(.)32 b(Belo)o(w,)20 b(w)o(e)e(describ)q(e)j X(t)o(w)o(o)c(metho)q(ds)i(for)f(transformation)f(to)h(standard)h(form)f X(whic)o(h)p eop X%%Page: 16 17 X16 16 bop 59 166 a Fo(16)956 b Fm(DISCRETE)15 b(ILL-POSED)i(PR)o X(OBLEMS)p 59 178 1772 2 v 59 306 a Fo(are)k(suited)i(for)e(direct)i X(and)e(iterativ)o(e)h(metho)q(ds,)i(resp)q(ectiv)o(ely)l(.)41 Xb(W)l(e)22 b(assume)f(that)g(the)h(matrix)59 362 y Fn(L)13 Xb Fk(2)g Fn(I)l(R)196 342 y Fl(p)p Ff(\002)p Fl(n)277 X362 y Fo(has)i(full)i(ro)o(w)d(rank,)h(i.e.,)f(the)i(rank)f(of)f XFn(L)i Fo(is)f Fn(p)p Fo(.)59 490 y Fp(2.6.1.)h(T)l(ransformation)i X(for)f(Direct)h(Metho)q(ds)59 579 y Fo(The)i(standard-form)e X(transformation)h(for)f(direct)j(metho)q(ds)e(describ)q(ed)j(here)e(w)o X(as)f(dev)o(elop)q(ed)i(b)o(y)59 635 y(Eld)o(\023)-21 Xb(en)11 b([22)o(],)g(and)g(it)h(is)f(based)g(on)g(t)o(w)o(o)f(QR)h X(factorizations.)19 b(The)11 b(description)h(of)f(this)g X(transformation)59 692 y(is)18 b(quite)g(algorithmic,)h(and)e(it)h(is)g X(summarized)g(b)q(elo)o(w)g(\(where,)f(for)g(con)o(v)o(enience,)i(the)f X(subscripts)59 748 y Fn(p)p Fo(,)d Fn(o)p Fo(,)h(and)f XFn(q)j Fo(denote)e(matrices)f(with)h Fn(p)p Fo(,)f Fn(n)c XFk(\000)g Fn(p)p Fo(,)k(and)h Fn(m)10 b Fk(\000)h Fo(\()p XFn(n)f Fk(\000)h 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y(and)16 b(w)o(e)g(stress)g(that)f(the)h(most)f X(e\016cien)o(t)i(w)o(a)o(y)e(to)g(compute)1148 1630 y(\026)1136 X1642 y Fn(A)h Fo(and)1273 1630 y(\026)1275 1642 y Fn(b)f XFo(is)i(to)e(apply)i(the)f(orthogonal)59 1698 y(transformations)e(that) Xg(mak)o(e)g(up)i Fn(K)h Fo(and)e Fn(H)k Fo(\\on)14 b(the)h(\015y")g(to) Xf Fn(A)h Fo(and)g Fn(b)g Fo(as)f(the)h(QR)h(factorizations)59 X1755 y(in)f(\(2.22\))c(and)j(\(2.23\))e(are)h(computed.)20 Xb(When)14 b(\(2.21\))e(has)h(b)q(een)i(solv)o(ed)f(for)i(\026)-26 Xb Fn(x)p Fo(,)13 b(the)h(transformation)59 1811 y(bac)o(k)h(to)g(the)g X(general-form)g(setting)g(then)h(tak)o(es)e(the)i(form)605 X1917 y Fn(x)c Fo(=)h Fn(L)722 1899 y Ff(y)743 1917 y XFo(\026)-26 b Fn(x)10 b Fo(+)g Fn(K)860 1929 y Fl(o)886 X1917 y Fn(T)919 1899 y Ff(\000)p Fj(1)913 1929 y Fl(o)963 X1917 y Fn(H)1005 1899 y Fl(T)1001 1929 y(o)1031 1917 Xy Fo(\()p Fn(b)f Fk(\000)i Fn(A)d(L)1197 1899 y Ff(y)1216 X1917 y Fo(\026)-25 b Fn(x)o Fo(\))15 b Fn(:)430 b Fo(\(2.25\))130 X2025 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b(REGULARIZA)l(TION)i X(METHODS)673 b Fo(25)p 59 178 1772 2 v 130 306 a(Regarding)21 Xb(the)h(\014lter)f(factors)f(for)h(CG)f(and)h(LSQR,)h(w)o(e)f(ha)o(v)o X(e)g(found)g(that)g(the)g(expression)59 362 y(\(2.55\))c(using)j(the)e X(Ritz)i(p)q(olynomial)h(is)e(extremely)g(sensitiv)o(e)h(to)f(rounding)g X(errors.)30 b(Instead,)20 b(w)o(e)59 419 y(compute)15 Xb(the)h(\014lter)f(factors)f Fn(f)605 396 y Fj(\()p Fl(k)q XFj(\))600 429 y Fl(i)667 419 y Fo(b)o(y)h(means)g(of)g(n)o(umerically)i X(more)d(robust)h(recursions)h(deriv)o(ed)g(in)59 475 Xy([78)o(])h(and)g([49)o(].)25 b(Notice)18 b(that)e(the)h(exact)g X(singular)h(v)m(alues)g Fn(\033)1130 482 y Fl(i)1161 X475 y Fo(of)f Fn(A)g Fo(are)g(required)h(to)e(compute)i(the)59 X532 y(\014lter)e(factors;)d(hence)k(this)e(option)h(is)g(mainly)g(of)f X(p)q(edagogical)h(in)o(terest.)59 668 y Fp(2.8.2.)g(Bidiagonali)q(za)q X(tio)q(n)k(with)e(Regularization)59 759 y Fo(It)11 b(is)h(p)q(ossible)h 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6194 3739 L X 898 3520 mt 925 3520 L X6221 3520 mt 6194 3520 L X 898 3302 mt 925 3302 L X6221 3302 mt 6194 3302 L X 898 3083 mt 925 3083 L X6221 3083 mt 6194 3083 L X 898 2864 mt 925 2864 L X6221 2864 mt 6194 2864 L X 898 3739 mt 951 3739 L X6221 3739 mt 6168 3739 L X X/Helvetica 10 FMS X X X/Helvetica 14 FMS X X 512 3801 mt (10) s X X/Helvetica 10 FMS X X 698 3690 mt (0) s X X/Helvetica 14 FMS X X 898 3520 mt 925 3520 L X6221 3520 mt 6194 3520 L X 898 3302 mt 925 3302 L X6221 3302 mt 6194 3302 L X 898 3083 mt 925 3083 L X6221 3083 mt 6194 3083 L X 898 2864 mt 925 2864 L X6221 2864 mt 6194 2864 L X 898 3302 mt 951 3302 L X6221 3302 mt 6168 3302 L X X/Helvetica 10 FMS X X X/Helvetica 14 FMS X X 512 3364 mt (10) s X X/Helvetica 10 FMS X X 698 3253 mt (10) s X X/Helvetica 14 FMS X X 898 3083 mt 925 3083 L X6221 3083 mt 6194 3083 L X 898 2864 mt 925 2864 L X6221 2864 mt 6194 2864 L X 898 2864 mt 951 2864 L X6221 2864 mt 6168 2864 L X X/Helvetica 10 FMS X X X/Helvetica 14 FMS X X 512 2926 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3918 L Xgs 898 2864 5324 1751 MR c np Xgr X2231 3848 mt 2303 3920 L X2303 3848 mt 2231 3920 L Xgs 898 2864 5324 1751 MR c np Xgr X2383 3835 mt 2455 3907 L X2455 3835 mt 2383 3907 L Xgs 898 2864 5324 1751 MR c np Xgr X2535 3829 mt 2607 3901 L X2607 3829 mt 2535 3901 L Xgs 898 2864 5324 1751 MR c np Xgr X2687 3846 mt 2759 3918 L X2759 3846 mt 2687 3918 L Xgs 898 2864 5324 1751 MR c np Xgr X2839 3841 mt 2911 3913 L X2911 3841 mt 2839 3913 L Xgs 898 2864 5324 1751 MR c np Xgr X2991 3841 mt 3063 3913 L X3063 3841 mt 2991 3913 L Xgs 898 2864 5324 1751 MR c np Xgr X3143 3836 mt 3215 3908 L X3215 3836 mt 3143 3908 L Xgs 898 2864 5324 1751 MR c np Xgr X3295 3838 mt 3367 3910 L X3367 3838 mt 3295 3910 L Xgs 898 2864 5324 1751 MR c np Xgr X3447 3826 mt 3519 3898 L X3519 3826 mt 3447 3898 L Xgs 898 2864 5324 1751 MR c np Xgr X3600 3834 mt 3672 3906 L X3672 3834 mt 3600 3906 L Xgs 898 2864 5324 1751 MR c np Xgr X3752 3823 mt 3824 3895 L X3824 3823 mt 3752 3895 L Xgs 898 2864 5324 1751 MR c np Xgr X3904 3826 mt 3976 3898 L X3976 3826 mt 3904 3898 L Xgs 898 2864 5324 1751 MR c np Xgr X4056 3842 mt 4128 3914 L X4128 3842 mt 4056 3914 L Xgs 898 2864 5324 1751 MR c np Xgr X4208 3855 mt 4280 3927 L X4280 3855 mt 4208 3927 L Xgs 898 2864 5324 1751 MR c np Xgr X4360 3836 mt 4432 3908 L X4432 3836 mt 4360 3908 L Xgs 898 2864 5324 1751 MR c np Xgr X4512 3846 mt 4584 3918 L X4584 3846 mt 4512 3918 L Xgs 898 2864 5324 1751 MR c np Xgr X4664 3835 mt 4736 3907 L X4736 3835 mt 4664 3907 L Xgs 898 2864 5324 1751 MR c np Xgr X4816 3841 mt 4888 3913 L X4888 3841 mt 4816 3913 L Xgs 898 2864 5324 1751 MR c np Xgr X4968 3839 mt 5040 3911 L X5040 3839 mt 4968 3911 L Xgs 898 2864 5324 1751 MR c np Xgr X5120 3856 mt 5192 3928 L X5192 3856 mt 5120 3928 L Xgs 898 2864 5324 1751 MR c np Xgr X5272 3823 mt 5344 3895 L X5344 3823 mt 5272 3895 L Xgs 898 2864 5324 1751 MR c np Xgr X5425 3851 mt 5497 3923 L X5497 3851 mt 5425 3923 L Xgs 898 2864 5324 1751 MR c np Xgr X5577 3837 mt 5649 3909 L X5649 3837 mt 5577 3909 L Xgs 898 2864 5324 1751 MR c np Xgr X5729 3862 mt 5801 3934 L X5801 3862 mt 5729 3934 L Xgs 898 2864 5324 1751 MR c np Xgr X1014 3676 1086 3748 FO Xgs 898 2864 5324 1751 MR c np Xgr X1166 3701 1238 3773 FO Xgs 898 2864 5324 1751 MR c np Xgr X1318 3681 1390 3753 FO Xgs 898 2864 5324 1751 MR c np Xgr X1470 3699 1542 3771 FO Xgs 898 2864 5324 1751 MR c np Xgr X1622 3717 1694 3789 FO Xgs 898 2864 5324 1751 MR c np Xgr X1775 3715 1847 3787 FO Xgs 898 2864 5324 1751 MR c np Xgr X1927 3714 1999 3786 FO Xgs 898 2864 5324 1751 MR c np Xgr X2079 3742 2151 3814 FO Xgs 898 2864 5324 1751 MR c np Xgr X2231 3721 2303 3793 FO Xgs 898 2864 5324 1751 MR c np Xgr X2383 3653 2455 3725 FO Xgs 898 2864 5324 1751 MR c np Xgr X2535 3606 2607 3678 FO Xgs 898 2864 5324 1751 MR c np Xgr X2687 3598 2759 3670 FO Xgs 898 2864 5324 1751 MR c np Xgr X2839 3561 2911 3633 FO Xgs 898 2864 5324 1751 MR c np Xgr X2991 3520 3063 3592 FO Xgs 898 2864 5324 1751 MR c np Xgr X3143 3466 3215 3538 FO Xgs 898 2864 5324 1751 MR c np Xgr X3295 3417 3367 3489 FO Xgs 898 2864 5324 1751 MR c np Xgr X3447 3363 3519 3435 FO Xgs 898 2864 5324 1751 MR c np Xgr X3600 3301 3672 3373 FO Xgs 898 2864 5324 1751 MR c np Xgr X3752 3266 3824 3338 FO Xgs 898 2864 5324 1751 MR c np Xgr X3904 3246 3976 3318 FO Xgs 898 2864 5324 1751 MR c np Xgr X4056 3171 4128 3243 FO Xgs 898 2864 5324 1751 MR c np Xgr X4208 3171 4280 3243 FO Xgs 898 2864 5324 1751 MR c np Xgr X4360 3149 4432 3221 FO Xgs 898 2864 5324 1751 MR c np Xgr X4512 3153 4584 3225 FO Xgs 898 2864 5324 1751 MR c np Xgr X4664 3139 4736 3211 FO Xgs 898 2864 5324 1751 MR c np Xgr X4816 3142 4888 3214 FO Xgs 898 2864 5324 1751 MR c np Xgr X4968 3130 5040 3202 FO Xgs 898 2864 5324 1751 MR c np Xgr X5120 3144 5192 3216 FO Xgs 898 2864 5324 1751 MR c np Xgr X5272 3104 5344 3176 FO Xgs 898 2864 5324 1751 MR c np Xgr X5425 3128 5497 3200 FO Xgs 898 2864 5324 1751 MR c np Xgr X5577 3100 5649 3172 FO Xgs 898 2864 5324 1751 MR c np Xgr X5729 3111 5801 3183 FO Xgs 898 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restore} bdef X/bplot /gsave ldef X/eplot {stroke grestore} bdef X X/llx 0 def X/lly 0 def X/urx 0 def X/ury 0 def X/bbox {/ury xdef /urx xdef /lly xdef /llx xdef} bdef X X/portraitMode (op) def X/landscapeMode (ol) def X/Orientation portraitMode def X/portrait {/Orientation portraitMode def} bdef X/landscape {/Orientation landscapeMode def} bdef X X/dpi2point 0 def X X/FontSize 0 def X/FMS { X /FontSize xstore %save size off stack X findfont X [FontSize dpi2point mul 0 0 FontSize dpi2point mul neg 0 0] X makefont X setfont X }bdef X/setPortrait { X 1 dpi2point div -1 dpi2point div scale X llx ury neg translate X } bdef X/setLandscape { X 1 dpi2point div -1 dpi2point div scale X urx ury neg translate X 90 rotate X } bdef X X/csm {Orientation portraitMode eq {setPortrait} {setLandscape} ifelse} bdef X/SO { [] 0 setdash } bdef X/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef X/DA { [6 dpi2point mul] 0 setdash } bdef X/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef X X/L { % LineTo X lineto X stroke X } bdef X/MP { % MakePoly X 3 1 roll moveto X 1 sub {rlineto} repeat X } bdef X/AP { % AddPoly X {rlineto} repeat X } bdef X/PP { % PaintPoly X closepath fill X } bdef X/DP { % DrawPoly X closepath stroke X } bdef X/MR { % MakeRect X 4 -2 roll moveto X dup 0 exch rlineto X exch 0 rlineto X neg 0 exch rlineto X closepath X } bdef X/FR { % FrameRect X MR stroke X } bdef X/PR { % PaintRect X MR fill X } bdef X/L1i { % Level 1 Image X { currentfile picstr readhexstring pop } image X } bdef X X/half_width 0 def X/half_height 0 def X/MakeOval { X newpath X /ury xstore /urx xstore /lly xstore /llx xstore X /half_width urx llx sub 2 div store X /half_height ury lly sub 2 div store X llx half_width add lly half_height add translate X half_width half_height scale X .5 half_width div setlinewidth X 0 0 1 0 360 arc X } bdef X/FO { X gsave X MakeOval stroke X grestore X } bdef X/PO { X gsave X MakeOval fill X grestore X } bdef X X/PD { X 2 copy moveto lineto stroke X } bdef X X Xcurrentdict end def %dictionary X XMathWorks begin X X X1 setlinecap 1 setlinejoin X Xend X XMathWorks begin Xbpage X Xbplot X X/dpi2point 12 def X0216 2160 7128 7344 bbox portrait csm X X0 0 6912 5184 MR c np X6.00 setlinewidth X/colortable 76 dict begin X/c0 { 0 0 0 sc} bdef X/c1 { 1 1 1 sc} bdef X/c2 { 1 0 0 sc} bdef X/c3 { 0 1 0 sc} bdef X/c4 { 0 0 1 sc} bdef X/c5 { 1 1 0 sc} bdef X/c6 { 1 0 1 sc} bdef X/c7 { 0 1 1 sc} bdef Xcurrentdict end def % Colortable X Xcolortable begin X X X/Helvetica 14 FMS X Xc1 X 0 0 6912 5184 PR XDO XSO Xc0 X1851 2165 mt 3094 1825 L X 898 1722 mt 1851 2165 L X 898 1722 mt 898 754 L X1851 2165 mt 1881 2179 L X1905 2346 mt (0) s X2473 1995 mt 2502 2009 L X2526 2176 mt (5) s X3094 1825 mt 3123 1838 L X3148 2006 mt (10) s X1175 1850 mt 1144 1859 L X 932 2022 mt (10) s X1482 1993 mt 1451 2002 L X1239 2165 mt (20) s X1790 2136 mt 1759 2145 L X1547 2308 mt (30) s X 898 1542 mt 869 1528 L X 695 1579 mt (-5) s X 898 1201 mt 869 1188 L X 751 1238 mt (0) s X 898 860 mt 869 847 L X 751 898 mt (5) s X1302 281 mt (Tikhonov solutions) s Xgs 898 414 2197 1752 MR c np Xcolortable /c8 { 0.000000 1.000000 0.476190 sc} put Xc8 X X-30 910 124 -351 31 -185 2016 1008 4 MP PP Xc0 X X-30 910 124 -351 31 -185 2016 1008 4 MP DP Xcolortable /c9 { 0.000000 0.761905 1.000000 sc} put Xc9 X X-30 -135 124 214 31 50 2139 948 4 MP PP Xc0 X X-30 -135 124 214 31 50 2139 948 4 MP DP Xcolortable /c10 { 0.000000 0.952381 1.000000 sc} put Xc10 X X-31 72 124 135 31 7 2170 998 4 MP PP Xc0 X X-31 72 124 135 31 7 2170 998 4 MP DP Xc9 X X-31 185 124 -97 31 -8 1892 928 4 MP PP Xc0 X X-31 185 124 -97 31 -8 1892 928 4 MP DP Xcolortable /c11 { 0.000000 0.380952 1.000000 sc} put Xc11 X X-31 -316 125 129 30 78 2109 870 4 MP PP Xc0 X X-31 -316 125 129 30 78 2109 870 4 MP DP Xcolortable /c12 { 0.000000 0.571429 1.000000 sc} put Xc12 X X-31 16 124 -123 31 10 1923 920 4 MP PP Xc0 X X-31 16 124 -123 31 10 1923 920 4 MP DP Xc10 X X-31 196 124 -29 31 -32 2201 1005 4 MP PP Xc0 X X-31 196 124 -29 31 -32 2201 1005 4 MP DP Xcolortable /c13 { 0.000000 0.666667 1.000000 sc} put Xc13 X X-31 8 124 -44 31 16 1768 948 4 MP PP Xc0 X X-31 8 124 -44 31 16 1768 948 4 MP DP Xc12 X X-31 -63 125 -78 30 18 1954 930 4 MP PP Xc0 X X-31 -63 125 -78 30 18 1954 930 4 MP DP Xc12 X X-30 -78 124 -15 31 15 1984 948 4 MP PP Xc0 X X-30 -78 124 -15 31 15 1984 948 4 MP DP Xc13 X X-31 -10 125 -47 30 13 1799 964 4 MP PP Xc0 X X-31 -10 125 -47 30 13 1799 964 4 MP DP Xc13 X X-31 -50 124 24 31 11 2015 963 4 MP PP Xc0 X X-31 -50 124 24 31 11 2015 963 4 MP DP Xc4 X X-31 -318 124 -109 31 63 2078 807 4 MP PP Xc0 X X-31 -318 124 -109 31 63 2078 807 4 MP DP Xcolortable /c14 { 0.000000 0.190476 1.000000 sc} put Xc14 X X-31 29 124 -364 31 -16 2047 823 4 MP PP Xc0 X X-31 29 124 -364 31 -16 2047 823 4 MP DP Xc13 X X-30 -18 124 -39 31 10 1829 977 4 MP PP Xc0 X X-30 -18 124 -39 31 10 1829 977 4 MP DP Xc12 X X-31 -7 124 28 31 3 2046 974 4 MP PP Xc0 X X-31 -7 124 28 31 3 2046 974 4 MP DP Xc13 X X-31 -16 125 -35 30 12 1644 987 4 MP PP Xc0 X X-31 -16 125 -35 30 12 1644 987 4 MP DP Xc13 X X-31 -15 124 -30 31 6 1860 987 4 MP PP Xc0 X X-31 -15 124 -30 31 6 1860 987 4 MP DP Xc13 X X-30 -13 124 -33 31 11 1674 999 4 MP PP Xc0 X X-30 -13 124 -33 31 11 1674 999 4 MP DP Xc12 X X-31 32 125 -3 30 -1 2077 977 4 MP PP Xc0 X X-31 32 125 -3 30 -1 2077 977 4 MP DP Xc13 X X-31 191 125 -175 30 -45 2232 973 4 MP PP Xc0 X X-31 191 125 -175 30 -45 2232 973 4 MP DP Xc12 X X-31 -11 124 -24 31 5 1891 993 4 MP PP Xc0 X X-31 -11 124 -24 31 5 1891 993 4 MP DP Xc13 X X-31 -10 124 -31 31 8 1705 1010 4 MP PP Xc0 X X-31 -10 124 -31 31 8 1705 1010 4 MP DP Xc9 X X-30 -12 124 -35 31 11 1519 1023 4 MP PP Xc0 X X-30 -12 124 -35 31 11 1519 1023 4 MP DP Xc12 X X-31 -3 125 -25 30 4 1922 998 4 MP PP Xc0 X X-31 -3 125 -25 30 4 1922 998 4 MP DP Xcolortable /c15 { 0.000000 0.476190 1.000000 sc} put Xc15 X X-30 45 124 -48 31 0 2107 976 4 MP PP Xc0 X X-30 45 124 -48 31 0 2107 976 4 MP DP Xc13 X X-31 -6 124 -31 31 6 1736 1018 4 MP PP Xc0 X X-31 -6 124 -31 31 6 1736 1018 4 MP DP Xc13 X X-31 -11 124 -32 31 8 1550 1034 4 MP PP Xc0 X X-31 -11 124 -32 31 8 1550 1034 4 MP DP Xc15 X X-30 -62 124 106 31 53 2385 1026 4 MP PP Xc0 X X-30 -62 124 106 31 53 2385 1026 4 MP DP Xc14 X X-31 -173 125 97 30 67 2355 959 4 MP PP Xc0 X X-31 -173 125 97 30 67 2355 959 4 MP DP Xc15 X X-30 1 124 -30 31 4 1952 1002 4 MP PP Xc0 X X-30 1 124 -30 31 4 1952 1002 4 MP DP Xc12 X X-31 -5 125 -32 30 6 1767 1024 4 MP PP Xc0 X X-31 -5 125 -32 30 6 1767 1024 4 MP DP Xc9 X X-31 72 124 19 31 15 2416 1079 4 MP PP Xc0 X X-31 72 124 19 31 15 2416 1079 4 MP DP Xc13 X X-31 -8 124 -32 31 8 1581 1042 4 MP PP Xc0 X X-31 -8 124 -32 31 8 1581 1042 4 MP DP Xc13 X X-31 -11 124 -32 31 10 1395 1056 4 MP PP Xc0 X X-31 -11 124 -32 31 10 1395 1056 4 MP DP Xcolortable /c16 { 0.000000 0.285714 1.000000 sc} put Xc16 X X-30 71 124 -217 31 -29 2262 928 4 MP PP Xc0 X X-30 71 124 -217 31 -29 2262 928 4 MP DP Xc11 X X-31 29 124 -83 31 6 2138 976 4 MP PP Xc0 X X-31 29 124 -83 31 6 2138 976 4 MP DP Xc4 X X-31 -185 124 -9 31 50 2324 909 4 MP PP Xc0 X X-31 -185 124 -9 31 50 2324 909 4 MP DP Xc12 X X-30 -4 124 -33 31 5 1797 1030 4 MP PP Xc0 X X-30 -4 124 -33 31 5 1797 1030 4 MP DP Xc12 X X-31 -6 125 -33 30 7 1612 1050 4 MP PP Xc0 X X-31 -6 125 -33 30 7 1612 1050 4 MP DP Xc11 X X-31 0 124 -37 31 7 1983 1006 4 MP PP Xc0 X X-31 0 124 -37 31 7 1983 1006 4 MP DP Xc13 X X-31 -8 124 -34 31 10 1426 1066 4 MP PP Xc0 X X-31 -8 124 -34 31 10 1426 1066 4 MP DP Xc4 X X-31 -83 124 -144 31 10 2293 899 4 MP PP Xc0 X X-31 -83 124 -144 31 10 2293 899 4 MP DP Xc16 X X-31 -10 124 -87 31 14 2169 982 4 MP PP Xc0 X X-31 -10 124 -87 31 14 2169 982 4 MP DP Xc12 X X-30 -6 124 -33 31 6 1642 1057 4 MP PP Xc0 X X-30 -6 124 -33 31 6 1642 1057 4 MP DP Xc15 X X-31 -4 124 -36 31 7 1828 1035 4 MP PP Xc0 X X-31 -4 124 -36 31 7 1828 1035 4 MP DP Xc11 X X-31 -6 124 -42 31 11 2014 1013 4 MP PP Xc0 X X-31 -6 124 -42 31 11 2014 1013 4 MP DP Xc13 X X-31 -8 125 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MP DP Xc15 X X-31 -15 124 11 31 18 2292 1065 4 MP PP Xc0 X X-31 -15 124 11 31 18 2292 1065 4 MP DP Xc11 X X-30 -21 124 -38 31 17 2075 1038 4 MP PP Xc0 X X-30 -21 124 -38 31 17 2075 1038 4 MP DP Xc11 X X-31 -11 125 -36 30 10 1890 1050 4 MP PP Xc0 X X-31 -11 125 -36 30 10 1890 1050 4 MP DP Xc12 X X-31 -6 124 -36 31 7 1518 1092 4 MP PP Xc0 X X-31 -6 124 -36 31 7 1518 1092 4 MP DP Xc15 X X-31 -7 124 -35 31 7 1704 1070 4 MP PP Xc0 X X-31 -7 124 -35 31 7 1704 1070 4 MP DP Xc13 X X-30 -8 124 -38 31 9 1332 1113 4 MP PP Xc0 X X-30 -8 124 -38 31 9 1332 1113 4 MP DP Xc13 X X-31 -11 125 -33 30 11 1147 1124 4 MP PP Xc0 X X-31 -11 125 -33 30 11 1147 1124 4 MP DP Xc15 X X-31 20 125 -22 30 13 2323 1083 4 MP PP Xc0 X X-31 20 125 -22 30 13 2323 1083 4 MP DP Xc11 X X-31 -25 124 -30 31 17 2106 1055 4 MP PP Xc0 X X-31 -25 124 -30 31 17 2106 1055 4 MP DP Xc12 X X-31 93 125 -163 30 -28 2478 1074 4 MP PP Xc0 X X-31 93 125 -163 30 -28 2478 1074 4 MP DP Xc11 X X-30 -14 124 -35 31 13 1920 1060 4 MP PP Xc0 X X-30 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1394 1131 4 MP PP Xc0 X X-31 -7 124 -38 31 6 1394 1131 4 MP DP Xc15 X X-31 -7 125 -36 30 7 1580 1106 4 MP PP Xc0 X X-31 -7 125 -36 30 7 1580 1106 4 MP DP Xc14 X X-31 -142 124 59 31 47 2570 1068 4 MP PP Xc0 X X-31 -142 124 59 31 47 2570 1068 4 MP DP Xc13 X X-31 -9 124 -33 31 9 1208 1146 4 MP PP Xc0 X X-31 -9 124 -33 31 9 1208 1146 4 MP DP Xc9 X X-30 -11 124 -36 31 12 1022 1159 4 MP PP Xc0 X X-30 -11 124 -36 31 12 1022 1159 4 MP DP Xc16 X X-30 -24 124 -133 31 -6 2508 1046 4 MP PP Xc0 X X-30 -24 124 -133 31 -6 2508 1046 4 MP DP Xc11 X X-31 -17 124 -32 31 17 1982 1087 4 MP PP Xc0 X X-31 -17 124 -32 31 17 1982 1087 4 MP DP Xc14 X X-31 -125 124 -36 31 28 2539 1040 4 MP PP Xc0 X X-31 -125 124 -36 31 28 2539 1040 4 MP DP Xc12 X X-30 54 124 28 31 3 2631 1151 4 MP PP Xc0 X X-30 54 124 28 31 3 2631 1151 4 MP DP Xc11 X X-30 -13 124 -33 31 20 2198 1109 4 MP PP Xc0 X X-30 -13 124 -33 31 20 2198 1109 4 MP DP Xc15 X X-31 6 124 -84 31 15 2384 1109 4 MP PP Xc0 X X-31 6 124 -84 31 15 2384 1109 4 MP DP Xc11 X X-31 -13 124 -34 31 11 1796 1096 4 MP PP Xc0 X X-31 -13 124 -34 31 11 1796 1096 4 MP DP Xc12 X X-31 -7 125 -37 30 6 1425 1137 4 MP PP Xc0 X X-31 -7 125 -37 30 6 1425 1137 4 MP DP Xc13 X X-31 -9 124 -32 31 8 1239 1155 4 MP PP Xc0 X X-31 -9 124 -32 31 8 1239 1155 4 MP DP Xc15 X X-30 -9 124 -34 31 7 1610 1113 4 MP PP Xc0 X X-30 -9 124 -34 31 7 1610 1113 4 MP DP Xc13 X X-31 -11 124 -37 31 12 1053 1171 4 MP PP Xc0 X X-31 -11 124 -37 31 12 1053 1171 4 MP DP Xc11 X X-31 -18 125 -32 30 18 2013 1104 4 MP PP Xc0 X X-31 -18 125 -32 30 18 2013 1104 4 MP DP Xc15 X X-31 -13 124 -40 31 20 2229 1129 4 MP PP Xc0 X X-31 -13 124 -40 31 20 2229 1129 4 MP DP Xc15 X X-31 -28 124 -69 31 13 2415 1124 4 MP PP Xc0 X X-31 -28 124 -69 31 13 2415 1124 4 MP DP Xc11 X X-31 -14 124 -33 31 13 1827 1107 4 MP PP Xc0 X X-31 -14 124 -33 31 13 1827 1107 4 MP DP Xc11 X X-31 -10 124 -32 31 8 1641 1120 4 MP PP Xc0 X X-31 -10 124 -32 31 8 1641 1120 4 MP DP Xc12 X X-31 -6 125 -33 30 7 1270 1163 4 MP PP Xc0 X X-31 -6 125 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1170 4 MP PP Xc0 X X-30 -6 124 -32 31 5 1300 1170 4 MP DP Xc11 X X-30 -36 124 4 31 1 2476 1146 4 MP PP Xc0 X X-30 -36 124 4 31 1 2476 1146 4 MP DP Xc15 X X-31 -7 124 -32 31 4 1486 1148 4 MP PP Xc0 X X-31 -7 124 -32 31 4 1486 1148 4 MP DP Xc15 X X-31 -13 125 -40 30 11 2291 1166 4 MP PP Xc0 X X-31 -13 125 -40 30 11 2291 1166 4 MP DP Xc11 X X-30 -18 124 -33 31 19 1888 1136 4 MP PP Xc0 X X-30 -18 124 -33 31 19 1888 1136 4 MP DP Xc15 X X-31 -20 124 -37 31 21 2105 1165 4 MP PP Xc0 X X-31 -20 124 -37 31 21 2105 1165 4 MP DP Xc16 X X-31 -13 125 -32 30 13 1703 1139 4 MP PP Xc0 X X-31 -13 125 -32 30 13 1703 1139 4 MP DP Xc13 X X-30 -7 124 -41 31 9 1145 1202 4 MP PP Xc0 X X-30 -7 124 -41 31 9 1145 1202 4 MP DP Xc11 X X-31 -3 124 15 31 -8 2507 1147 4 MP PP Xc0 X X-31 -3 124 15 31 -8 2507 1147 4 MP DP Xc15 X X-31 -5 124 -32 31 5 1331 1175 4 MP PP Xc0 X X-31 -5 124 -32 31 5 1331 1175 4 MP DP Xc11 X X-31 -8 124 -30 31 6 1517 1152 4 MP PP Xc0 X X-31 -8 124 -30 31 6 1517 1152 4 MP DP Xc11 X X-31 -21 124 -34 31 22 1919 1155 4 MP PP Xc0 X X-31 -21 124 -34 31 22 1919 1155 4 MP DP Xc15 X X-30 -9 124 -33 31 2 2321 1177 4 MP PP Xc0 X X-30 -9 124 -33 31 2 2321 1177 4 MP DP Xc15 X X-31 -17 125 -36 30 16 2136 1186 4 MP PP Xc0 X X-31 -17 125 -36 30 16 2136 1186 4 MP DP Xc16 X X-30 -16 124 -33 31 17 1733 1152 4 MP PP Xc0 X X-30 -16 124 -33 31 17 1733 1152 4 MP DP Xc11 X X-31 -22 124 -35 31 23 1950 1177 4 MP PP Xc0 X X-31 -22 124 -35 31 23 1950 1177 4 MP DP Xc12 X X-31 -5 124 -44 31 8 1176 1211 4 MP PP Xc0 X X-31 -5 124 -44 31 8 1176 1211 4 MP DP Xc16 X X-31 -11 125 -29 30 10 1548 1158 4 MP PP Xc0 X X-31 -11 125 -29 30 10 1548 1158 4 MP DP Xc15 X X-31 -4 124 -33 31 5 1362 1180 4 MP PP Xc0 X X-31 -4 124 -33 31 5 1362 1180 4 MP DP Xc12 X X-30 -11 124 -34 31 9 2166 1202 4 MP PP Xc0 X X-30 -11 124 -34 31 9 2166 1202 4 MP DP Xc11 X X-31 -1 124 -26 31 -6 2352 1179 4 MP PP Xc0 X X-31 -1 124 -26 31 -6 2352 1179 4 MP DP Xc14 X X-31 32 124 -6 31 -11 2538 1139 4 MP PP Xc0 X X-31 32 124 -6 31 -11 2538 1139 4 MP DP Xc11 X X-31 -19 124 -35 31 21 1764 1169 4 MP PP Xc0 X X-31 -19 124 -35 31 21 1764 1169 4 MP DP Xc15 X X-31 -21 125 -35 30 21 1981 1200 4 MP PP Xc0 X X-31 -21 125 -35 30 21 1981 1200 4 MP DP Xc14 X X-31 114 124 -140 31 -43 2693 1122 4 MP PP Xc0 X X-31 114 124 -140 31 -43 2693 1122 4 MP DP Xc16 X X-30 -13 124 -30 31 14 1578 1168 4 MP PP Xc0 X X-30 -13 124 -30 31 14 1578 1168 4 MP DP Xc12 X X-31 -5 124 -47 31 8 1207 1219 4 MP PP Xc0 X X-31 -5 124 -47 31 8 1207 1219 4 MP DP Xc11 X X-31 -6 125 -35 30 8 1393 1185 4 MP PP Xc0 X X-31 -6 125 -35 30 8 1393 1185 4 MP DP Xc11 X X-31 -22 124 -36 31 23 1795 1190 4 MP PP Xc0 X X-31 -22 124 -36 31 23 1795 1190 4 MP DP Xc15 X X-31 -2 124 -32 31 0 2197 1211 4 MP PP Xc0 X X-31 -2 124 -32 31 0 2197 1211 4 MP DP Xc12 X X-30 -16 124 -35 31 16 2011 1221 4 MP PP Xc0 X X-30 -16 124 -35 31 16 2011 1221 4 MP DP Xc11 X X-31 -47 125 43 30 84 2847 1216 4 MP PP Xc0 X X-31 -47 125 43 30 84 2847 1216 4 MP DP Xc16 X X-31 8 124 -25 31 -9 2383 1173 4 MP PP Xc0 X X-31 8 124 -25 31 -9 2383 1173 4 MP DP Xc16 X X-31 -17 124 -32 31 19 1609 1182 4 MP PP Xc0 X X-31 -17 124 -32 31 19 1609 1182 4 MP DP Xc15 X X-31 -23 125 -37 30 24 1826 1213 4 MP PP Xc0 X X-31 -23 125 -37 30 24 1826 1213 4 MP DP Xc4 X X-31 43 125 -43 30 -6 2569 1128 4 MP PP Xc0 X X-31 43 125 -43 30 -6 2569 1128 4 MP DP Xc15 X X-31 -5 125 -50 30 8 1238 1227 4 MP PP Xc0 X X-31 -5 125 -50 30 8 1238 1227 4 MP DP Xc9 X X-30 62 124 -69 31 50 2877 1300 4 MP PP Xc0 X X-30 62 124 -69 31 50 2877 1300 4 MP DP Xc16 X X-30 -10 124 -36 31 11 1423 1193 4 MP PP Xc0 X X-30 -10 124 -36 31 11 1423 1193 4 MP DP Xcolortable /c17 { 0.095238 0.000000 1.000000 sc} put Xc17 X X-31 -138 124 80 31 85 2816 1131 4 MP PP Xc0 X X-31 -138 124 80 31 85 2816 1131 4 MP DP Xc12 X X-31 -9 124 -34 31 8 2042 1237 4 MP PP Xc0 X X-31 -9 124 -34 31 8 2042 1237 4 MP DP Xc11 X X-31 6 124 -32 31 -6 2228 1211 4 MP PP Xc0 X X-31 6 124 -32 31 -6 2228 1211 4 MP DP Xc16 X X-31 -21 124 -36 31 25 1640 1201 4 MP PP Xc0 X X-31 -21 124 -36 31 25 1640 1201 4 MP DP Xc15 X X-30 -21 124 -36 31 20 1856 1237 4 MP PP Xc0 X X-30 -21 124 -36 31 20 1856 1237 4 MP DP Xcolortable /c18 { 0.190476 0.000000 1.000000 sc} put Xc18 X X-31 23 125 -139 30 -24 2724 1079 4 MP PP Xc0 X X-31 23 125 -139 30 -24 2724 1079 4 MP DP Xcolortable /c19 { 0.000000 0.095238 1.000000 sc} put Xc19 X X-31 11 125 -29 30 -7 2414 1164 4 MP PP Xc0 X X-31 11 125 -29 30 -7 2414 1164 4 MP DP Xc16 X X-31 -14 124 -38 31 16 1454 1204 4 MP PP Xc0 X X-31 -14 124 -38 31 16 1454 1204 4 MP DP Xc15 X X-30 -8 124 -52 31 10 1268 1235 4 MP PP Xc0 X X-30 -8 124 -52 31 10 1268 1235 4 MP DP Xcolortable /c20 { 0.380952 0.000000 1.000000 sc} put Xc20 X X-31 -154 124 27 31 60 2785 1071 4 MP PP Xc0 X X-31 -154 124 27 31 60 2785 1071 4 MP DP Xc11 X X-31 -23 125 -39 30 26 1671 1226 4 MP PP Xc0 X X-31 -23 125 -39 30 26 1671 1226 4 MP DP Xc15 X X-31 0 124 -33 31 -1 2073 1245 4 MP PP Xc0 X X-31 0 124 -33 31 -1 2073 1245 4 MP DP Xc12 X X-31 -16 124 -34 31 14 1887 1257 4 MP PP Xc0 X X-31 -16 124 -34 31 14 1887 1257 4 MP DP Xc17 X X-30 24 124 -75 31 8 2599 1122 4 MP PP Xc0 X X-30 24 124 -75 31 8 2599 1122 4 MP DP Xc20 X X-30 -88 124 -67 31 16 2754 1055 4 MP PP Xc0 X X-30 -88 124 -67 31 16 2754 1055 4 MP DP Xc16 X X-31 9 125 -32 30 -9 2259 1205 4 MP PP Xc0 X X-31 9 125 -32 30 -9 2259 1205 4 MP DP Xcolortable /c21 { 0.000000 1.000000 0.952381 sc} put Xc21 X X-31 97 124 -154 31 -12 2908 1350 4 MP PP Xc0 X X-31 97 124 -154 31 -12 2908 1350 4 MP DP Xc16 X X-31 -19 124 -39 31 20 1485 1220 4 MP PP Xc0 X X-31 -19 124 -39 31 20 1485 1220 4 MP DP Xc15 X X-30 -24 124 -40 31 25 1701 1252 4 MP PP Xc0 X X-30 -24 124 -40 31 25 1701 1252 4 MP DP Xc15 X X-31 -11 124 -52 31 11 1299 1245 4 MP PP Xc0 X X-31 -11 124 -52 31 11 1299 1245 4 MP DP Xc4 X X-30 6 124 -37 31 2 2444 1157 4 MP PP Xc0 X X-30 6 124 -37 31 2 2444 1157 4 MP DP Xc12 X X-31 -8 124 -32 31 6 1918 1271 4 MP PP Xc0 X X-31 -8 124 -32 31 6 1918 1271 4 MP DP Xc11 X X-31 -25 125 -39 30 25 1516 1240 4 MP PP Xc0 X X-31 -25 125 -39 30 25 1516 1240 4 MP DP Xc17 X X-31 -16 124 -84 31 25 2630 1130 4 MP PP Xc0 X X-31 -16 124 -84 31 25 2630 1130 4 MP DP Xc11 X X-31 6 125 -32 30 -7 2104 1244 4 MP PP Xc0 X X-31 6 125 -32 30 -7 2104 1244 4 MP DP Xc12 X X-31 -20 124 -38 31 18 1732 1277 4 MP PP Xc0 X X-31 -20 124 -38 31 18 1732 1277 4 MP DP Xc16 X X-30 -84 124 11 31 47 2722 1242 4 MP PP Xc0 X X-30 -84 124 11 31 47 2722 1242 4 MP DP Xc15 X X-31 -50 124 22 31 39 2753 1289 4 MP PP Xc0 X X-31 -50 124 22 31 39 2753 1289 4 MP DP Xc15 X X-31 -16 124 -50 31 14 1330 1256 4 MP PP Xc0 X X-31 -16 124 -50 31 14 1330 1256 4 MP DP Xc19 X X-31 -85 125 -26 30 48 2692 1194 4 MP PP Xc0 X X-31 -85 125 -26 30 48 2692 1194 4 MP DP Xc17 X X-31 -60 124 -63 31 39 2661 1155 4 MP PP Xc0 X X-31 -60 124 -63 31 39 2661 1155 4 MP DP Xc19 X X-30 7 124 -34 31 -5 2289 1196 4 MP PP Xc0 X X-30 7 124 -34 31 -5 2289 1196 4 MP DP Xc11 X X-30 -26 124 -38 31 25 1546 1265 4 MP PP Xc0 X X-30 -26 124 -38 31 25 1546 1265 4 MP DP Xc17 X X-31 -8 124 -42 31 13 2475 1159 4 MP PP Xc0 X X-31 -8 124 -42 31 13 2475 1159 4 MP DP Xc12 X X-31 -14 124 -34 31 10 1763 1295 4 MP PP Xc0 X X-31 -14 124 -34 31 10 1763 1295 4 MP DP Xc15 X X-31 1 125 -30 30 -3 1949 1277 4 MP PP Xc0 X X-31 1 125 -30 30 -3 1949 1277 4 MP DP Xc13 X X-31 12 124 -13 31 23 2784 1328 4 MP PP Xc0 X X-31 12 124 -13 31 23 2784 1328 4 MP DP Xc11 X X-31 -20 125 -46 30 16 1361 1270 4 MP PP Xc0 X X-31 -20 125 -46 30 16 1361 1270 4 MP DP Xcolortable /c22 { 0.000000 0.857143 1.000000 sc} put Xc22 X X-31 -48 124 -10 31 -96 2939 1338 4 MP PP Xc0 X X-31 -48 124 -10 31 -96 2939 1338 4 MP DP Xc15 X X-31 -25 124 -34 31 21 1577 1290 4 MP PP Xc0 X X-31 -25 124 -34 31 21 1577 1290 4 MP DP Xc16 X X-30 9 124 -33 31 -8 2134 1237 4 MP PP Xc0 X X-30 9 124 -33 31 -8 2134 1237 4 MP DP Xc17 X X-31 -25 124 -43 31 26 2506 1172 4 MP PP Xc0 X X-31 -25 124 -43 31 26 2506 1172 4 MP DP Xc4 X X-31 -2 124 -36 31 4 2320 1191 4 MP PP Xc0 X X-31 -2 124 -36 31 4 2320 1191 4 MP DP Xc12 X X-31 -6 125 -29 30 1 1794 1305 4 MP PP Xc0 X X-31 -6 125 -29 30 1 1794 1305 4 MP DP Xc15 X X-30 -25 124 -38 31 17 1391 1286 4 MP PP Xc0 X X-30 -25 124 -38 31 17 1391 1286 4 MP DP Xc4 X X-31 -39 125 -39 30 35 2537 1198 4 MP PP Xc0 X X-31 -39 125 -39 30 35 2537 1198 4 MP DP Xc12 X X-31 -18 124 -31 31 15 1608 1311 4 MP PP Xc0 X X-31 -18 124 -31 31 15 1608 1311 4 MP DP Xc11 X X-30 7 124 -31 31 -6 1979 1274 4 MP PP Xc0 X X-30 7 124 -31 31 -6 1979 1274 4 MP DP Xc19 X X-30 -48 124 -31 31 40 2567 1233 4 MP PP Xc0 X X-30 -48 124 -31 31 40 2567 1233 4 MP DP Xc9 X X-31 96 125 -109 30 0 2815 1351 4 MP PP Xc0 X X-31 96 125 -109 30 0 2815 1351 4 MP DP Xc19 X X-31 5 124 -34 31 -4 2165 1229 4 MP PP Xc0 X X-31 5 124 -34 31 -4 2165 1229 4 MP DP Xc16 X X-31 -47 124 -25 31 41 2598 1273 4 MP PP Xc0 X X-31 -47 124 -25 31 41 2598 1273 4 MP DP Xc15 X X-31 -25 124 -28 31 15 1422 1303 4 MP PP Xc0 X X-31 -25 124 -28 31 15 1422 1303 4 MP DP Xc17 X X-31 -13 124 -37 31 14 2351 1195 4 MP PP Xc0 X X-31 -13 124 -37 31 14 2351 1195 4 MP DP Xc12 X X-31 -10 125 -28 30 7 1639 1326 4 MP PP Xc0 X X-31 -10 125 -28 30 7 1639 1326 4 MP DP Xc15 X X-31 -39 124 -23 31 37 2629 1314 4 MP PP Xc0 X X-31 -39 124 -23 31 37 2629 1314 4 MP DP Xc15 X X-30 3 124 -28 31 -4 1824 1306 4 MP PP Xc0 X X-30 3 124 -28 31 -4 1824 1306 4 MP DP Xc16 X X-31 8 124 -33 31 -6 2010 1268 4 MP PP Xc0 X X-31 8 124 -33 31 -6 2010 1268 4 MP DP Xc15 X X-31 -21 124 -21 31 14 1453 1318 4 MP PP Xc0 X X-31 -21 124 -21 31 14 1453 1318 4 MP DP Xc17 X X-31 -26 125 -36 30 25 2382 1209 4 MP PP Xc0 X X-31 -26 125 -36 30 25 2382 1209 4 MP DP Xc12 X X-31 -23 125 -30 30 30 2660 1351 4 MP PP Xc0 X X-31 -23 125 -30 30 30 2660 1351 4 MP DP Xc4 X X-31 -4 124 -35 31 5 2196 1225 4 MP PP Xc0 X X-31 -4 124 -35 31 5 2196 1225 4 MP DP Xc4 X X-30 -35 124 -35 31 34 2412 1234 4 MP PP Xc0 X X-30 -35 124 -35 31 34 2412 1234 4 MP DP Xc15 X X-30 -1 124 -26 31 -1 1669 1333 4 MP PP Xc0 X X-30 -1 124 -26 31 -1 1669 1333 4 MP DP Xc13 X X-30 0 124 -52 31 22 2690 1381 4 MP PP Xc0 X X-30 0 124 -52 31 22 2690 1381 4 MP DP Xc16 X X-31 6 124 -27 31 -7 1855 1302 4 MP PP Xc0 X X-31 6 124 -27 31 -7 1855 1302 4 MP DP Xc15 X X-31 -15 125 -16 30 10 1484 1332 4 MP PP Xc0 X X-31 -15 125 -16 30 10 1484 1332 4 MP DP Xc19 X X-31 -40 124 -32 31 37 2443 1268 4 MP PP Xc0 X X-31 -40 124 -32 31 37 2443 1268 4 MP DP Xc19 X X-31 4 124 -36 31 -1 2041 1262 4 MP PP Xc0 X X-31 4 124 -36 31 -1 2041 1262 4 MP DP Xc17 X X-31 -14 125 -36 30 15 2227 1230 4 MP PP Xc0 X X-31 -14 125 -36 30 15 2227 1230 4 MP DP Xc16 X X-31 -41 124 -31 31 40 2474 1305 4 MP PP Xc0 X X-31 -41 124 -31 31 40 2474 1305 4 MP DP Xc15 X X-31 -37 125 -31 30 37 2505 1345 4 MP PP Xc0 X X-31 -37 125 -31 30 37 2505 1345 4 MP DP Xc11 X X-31 4 124 -27 31 -3 1700 1332 4 MP PP Xc0 X X-31 4 124 -27 31 -3 1700 1332 4 MP DP Xc15 X X-30 -7 124 -17 31 8 1514 1342 4 MP PP Xc0 X X-30 -7 124 -17 31 8 1514 1342 4 MP DP Xc4 X X-30 -25 124 -36 31 25 2257 1245 4 MP PP Xc0 X X-30 -25 124 -36 31 25 2257 1245 4 MP DP Xc14 X X-31 6 124 -30 31 -3 1886 1295 4 MP PP Xc0 X X-31 6 124 -30 31 -3 1886 1295 4 MP DP Xc12 X X-30 -30 124 -34 31 33 2535 1382 4 MP PP Xc0 X X-30 -30 124 -34 31 33 2535 1382 4 MP DP Xc4 X X-31 -5 125 -38 30 7 2072 1261 4 MP PP Xc0 X X-31 -5 125 -38 30 7 2072 1261 4 MP DP Xc4 X X-31 -34 124 -35 31 33 2288 1270 4 MP PP Xc0 X X-31 -34 124 -35 31 33 2288 1270 4 MP DP Xc13 X X-31 -22 124 -39 31 27 2566 1415 4 MP PP Xc0 X X-31 -22 124 -39 31 27 2566 1415 4 MP DP Xc11 X X-31 1 124 -23 31 5 1545 1350 4 MP PP Xc0 X X-31 1 124 -23 31 5 1545 1350 4 MP DP Xc16 X X-31 7 124 -30 31 -4 1731 1329 4 MP PP Xc0 X X-31 7 124 -30 31 -4 1731 1329 4 MP DP Xc19 X X-31 -37 124 -35 31 37 2319 1303 4 MP PP Xc0 X X-31 -37 124 -35 31 37 2319 1303 4 MP DP Xc4 X X-30 -15 124 -40 31 17 2102 1268 4 MP PP Xc0 X X-30 -15 124 -40 31 17 2102 1268 4 MP DP Xc19 X X-31 1 125 -35 30 4 1917 1292 4 MP PP Xc0 X X-31 1 125 -35 30 4 1917 1292 4 MP DP Xc16 X X-31 -40 125 -32 30 37 2350 1340 4 MP PP Xc0 X X-31 -40 125 -32 30 37 2350 1340 4 MP DP Xc11 X X-30 -37 124 -31 31 36 2380 1377 4 MP PP Xc0 X X-30 -37 124 -31 31 36 2380 1377 4 MP DP Xc16 X X-31 3 124 -33 31 7 1576 1355 4 MP PP Xc0 X X-31 3 124 -33 31 7 1576 1355 4 MP DP Xc4 X X-31 -25 124 -39 31 24 2133 1285 4 MP PP Xc0 X X-31 -25 124 -39 31 24 2133 1285 4 MP DP Xc14 X X-31 3 125 -35 30 2 1762 1325 4 MP PP Xc0 X X-31 3 125 -35 30 2 1762 1325 4 MP DP Xc12 X X-31 -33 124 -31 31 33 2411 1413 4 MP PP Xc0 X X-31 -33 124 -31 31 33 2411 1413 4 MP DP Xc4 X X-30 -7 124 -39 31 11 1947 1296 4 MP PP Xc0 X X-30 -7 124 -39 31 11 1947 1296 4 MP DP Xc19 X X-31 -33 124 -37 31 31 2164 1309 4 MP PP Xc0 X X-31 -33 124 -37 31 31 2164 1309 4 MP DP Xc13 X X-31 -27 124 -32 31 28 2442 1446 4 MP PP Xc0 X X-31 -27 124 -32 31 28 2442 1446 4 MP DP Xc14 X X-31 -37 125 -33 30 33 2195 1340 4 MP PP Xc0 X X-31 -37 125 -33 30 33 2195 1340 4 MP DP Xc16 X X-31 4 125 -45 30 8 1607 1362 4 MP PP Xc0 X X-31 4 125 -45 30 8 1607 1362 4 MP DP Xc4 X X-31 -17 124 -42 31 20 1978 1307 4 MP PP Xc0 X X-31 -17 124 -42 31 20 1978 1307 4 MP DP Xc19 X X-30 -4 124 -39 31 8 1792 1327 4 MP PP Xc0 X X-30 -4 124 -39 31 8 1792 1327 4 MP DP Xc16 X X-30 -37 124 -30 31 34 2225 1373 4 MP PP Xc0 X X-30 -37 124 -30 31 34 2225 1373 4 MP DP Xc4 X X-31 -24 124 -43 31 25 2009 1327 4 MP PP Xc0 X X-31 -24 124 -43 31 25 2009 1327 4 MP DP Xc11 X X-31 -36 124 -27 31 33 2256 1407 4 MP PP Xc0 X X-31 -36 124 -27 31 33 2256 1407 4 MP DP Xc16 X X-30 -2 124 -56 31 13 1637 1370 4 MP PP Xc0 X X-30 -2 124 -56 31 13 1637 1370 4 MP DP Xc19 X X-31 -11 124 -43 31 15 1823 1335 4 MP PP Xc0 X X-31 -11 124 -43 31 15 1823 1335 4 MP DP Xc15 X X-31 -33 124 -24 31 30 2287 1440 4 MP PP Xc0 X X-31 -33 124 -24 31 30 2287 1440 4 MP DP Xc19 X X-31 -31 125 -41 30 29 2040 1352 4 MP PP Xc0 X X-31 -31 125 -41 30 29 2040 1352 4 MP DP Xc12 X X-31 -28 125 -22 30 26 2318 1470 4 MP PP Xc0 X X-31 -28 125 -22 30 26 2318 1470 4 MP DP Xc14 X X-30 -33 124 -38 31 30 2070 1381 4 MP PP Xc0 X X-30 -33 124 -38 31 30 2070 1381 4 MP DP Xc14 X X-31 -8 124 -65 31 17 1668 1383 4 MP PP Xc0 X X-31 -8 124 -65 31 17 1668 1383 4 MP DP Xc19 X X-31 -20 124 -45 31 22 1854 1350 4 MP PP Xc0 X X-31 -20 124 -45 31 22 1854 1350 4 MP DP Xc16 X X-31 -34 124 -34 31 30 2101 1411 4 MP PP Xc0 X X-31 -34 124 -34 31 30 2101 1411 4 MP DP Xc19 X X-31 -25 125 -46 30 26 1885 1372 4 MP PP Xc0 X X-31 -25 125 -46 30 26 1885 1372 4 MP DP Xc16 X X-31 -15 124 -70 31 20 1699 1400 4 MP PP Xc0 X X-31 -15 124 -70 31 20 1699 1400 4 MP DP Xc11 X X-31 -33 124 -29 31 28 2132 1441 4 MP PP Xc0 X X-31 -33 124 -29 31 28 2132 1441 4 MP DP Xc14 X X-30 -29 124 -45 31 28 1915 1398 4 MP PP Xc0 X X-30 -29 124 -45 31 28 1915 1398 4 MP DP Xc15 X X-31 -30 125 -25 30 26 2163 1469 4 MP PP Xc0 X X-31 -30 125 -25 30 26 2163 1469 4 MP DP Xc16 X X-31 -22 125 -71 30 23 1730 1420 4 MP PP Xc0 X X-31 -22 125 -71 30 23 1730 1420 4 MP DP Xc16 X X-31 -30 124 -44 31 29 1946 1426 4 MP PP Xc0 X X-31 -30 124 -44 31 29 1946 1426 4 MP DP Xc12 X X-30 -26 124 -23 31 24 2193 1495 4 MP PP Xc0 X X-30 -26 124 -23 31 24 2193 1495 4 MP DP Xc11 X X-30 -26 124 -69 31 24 1760 1443 4 MP PP Xc0 X X-30 -26 124 -69 31 24 1760 1443 4 MP DP Xc11 X X-31 -30 124 -41 31 27 1977 1455 4 MP PP Xc0 X X-31 -30 124 -41 31 27 1977 1455 4 MP DP Xc11 X X-31 -28 124 -66 31 25 1791 1467 4 MP PP Xc0 X X-31 -28 124 -66 31 25 1791 1467 4 MP DP Xc15 X X-31 -28 125 -39 30 26 2008 1482 4 MP PP Xc0 X X-31 -28 125 -39 30 26 2008 1482 4 MP DP Xc15 X X-31 -29 124 -60 31 23 1822 1492 4 MP PP Xc0 X X-31 -29 124 -60 31 23 1822 1492 4 MP DP Xc15 X X-30 -26 124 -37 31 24 2038 1508 4 MP PP Xc0 X X-30 -26 124 -37 31 24 2038 1508 4 MP DP Xc12 X X-31 -27 125 -56 30 23 1853 1515 4 MP PP Xc0 X X-31 -27 125 -56 30 23 1853 1515 4 MP DP Xc12 X X-31 -24 124 -35 31 22 2069 1532 4 MP PP Xc0 X X-31 -24 124 -35 31 22 2069 1532 4 MP DP Xc12 X X-30 -26 124 -51 31 21 1883 1538 4 MP PP Xc0 X X-30 -26 124 -51 31 21 1883 1538 4 MP DP Xc13 X X-31 -24 124 -47 31 20 1914 1559 4 MP PP Xc0 X X-31 -24 124 -47 31 20 1914 1559 4 MP DP Xc13 X X-31 -22 124 -43 31 18 1945 1579 4 MP PP Xc0 X X-31 -22 124 -43 31 18 1945 1579 4 MP DP Xgr XDO XSO X4979 2165 mt 6221 1825 L X4026 1722 mt 4979 2165 L X4026 1722 mt 4026 754 L X4979 2165 mt 5008 2179 L X5033 2346 mt (0) s X5600 1995 mt 5629 2009 L X5654 2176 mt (5) s X6221 1825 mt 6250 1838 L X6275 2006 mt (10) s X4303 1850 mt 4272 1859 L X4060 2022 mt (10) s X4610 1993 mt 4579 2002 L X4367 2165 mt (20) s X4918 2136 mt 4886 2145 L X4674 2308 mt (30) s X4026 1600 mt 3997 1586 L X3730 1637 mt (-30) s X4026 1318 mt 3997 1304 L X3730 1355 mt (-20) s X4026 1036 mt 3997 1022 L X3730 1073 mt (-10) s X4133 281 mt (Tikh filter factors, log scale) s Xgs 4026 414 2196 1752 MR c np Xc2 X X-31 -14 124 -34 31 14 5144 448 4 MP PP Xc0 X X-31 -14 124 -34 31 14 5144 448 4 MP DP Xc2 X X-30 -15 124 -34 30 15 5175 462 4 MP PP Xc0 X X-30 -15 124 -34 30 15 5175 462 4 MP DP Xc2 X X-31 -14 124 -34 31 14 5205 477 4 MP PP Xc0 X X-31 -14 124 -34 31 14 5205 477 4 MP DP Xc2 X X-31 -14 125 -34 30 14 5020 482 4 MP PP Xc0 X X-31 -14 125 -34 30 14 5020 482 4 MP DP Xc2 X X-31 -14 124 -34 31 14 5236 491 4 MP PP Xc0 X X-31 -14 124 -34 31 14 5236 491 4 MP DP Xc2 X X-30 -15 124 -34 31 15 5050 496 4 MP PP Xc0 X X-30 -15 124 -34 31 15 5050 496 4 MP DP Xc2 X X-31 -14 124 -34 31 14 5267 505 4 MP PP Xc0 X X-31 -14 124 -34 31 14 5267 505 4 MP DP Xc2 X X-31 -14 124 -34 31 14 5081 511 4 MP PP Xc0 X X-31 -14 124 -34 31 14 5081 511 4 MP DP Xc2 X X-30 -14 124 -34 31 14 4895 516 4 MP PP Xc0 X X-30 -14 124 -34 31 14 4895 516 4 MP DP Xc2 X X-30 -15 124 -34 30 15 5298 519 4 MP PP Xc0 X X-30 -15 124 -34 30 15 5298 519 4 MP DP Xc3 X X-31 -32 125 -63 30 31 5759 1373 4 MP PP Xc0 X X-31 -32 125 -63 30 31 5759 1373 4 MP DP Xc2 X X-31 -14 124 -34 31 14 5112 525 4 MP PP Xc0 X X-31 -14 124 -34 31 14 5112 525 4 MP DP Xc2 X X-31 -15 124 -34 31 15 4926 530 4 MP PP Xc0 X X-31 -15 124 -34 31 15 4926 530 4 MP DP Xcolortable /c23 { 0.000000 1.000000 0.761905 sc} put Xc23 X X-31 -131 124 -64 31 131 5728 1242 4 MP PP Xc0 X X-31 -131 124 -64 31 131 5728 1242 4 MP DP Xc2 X X-31 -14 124 -34 31 14 5328 534 4 MP PP Xc0 X X-31 -14 124 -34 31 14 5328 534 4 MP DP Xcolortable /c24 { 0.095238 1.000000 0.000000 sc} put Xc24 X X-30 -18 124 -64 31 19 5789 1404 4 MP PP Xc0 X X-30 -18 124 -64 31 19 5789 1404 4 MP DP Xc22 X X-30 -45 124 -63 31 44 5666 1153 4 MP PP Xc0 X X-30 -45 124 -63 31 44 5666 1153 4 MP DP Xc2 X X-31 -14 125 -35 30 15 5143 539 4 MP PP Xc0 X X-31 -14 125 -35 30 15 5143 539 4 MP DP Xc21 X X-31 -44 124 -64 31 45 5697 1197 4 MP PP Xc0 X X-31 -44 124 -64 31 45 5697 1197 4 MP DP Xc16 X X-31 -105 125 -64 30 105 5636 1048 4 MP PP Xc0 X X-31 -105 125 -64 30 105 5636 1048 4 MP DP Xc2 X X-31 -14 124 -34 31 14 4957 545 4 MP PP Xc0 X X-31 -14 124 -34 31 14 4957 545 4 MP DP Xc24 X X-31 -22 124 -63 31 21 5820 1423 4 MP PP Xc0 X X-31 -22 124 -63 31 21 5820 1423 4 MP DP Xcolortable /c25 { 0.190476 1.000000 0.000000 sc} put Xc25 X X-30 -31 124 -61 31 31 5634 1434 4 MP PP Xc0 X X-30 -31 124 -61 31 31 5634 1434 4 MP DP Xc2 X X-31 -14 124 -34 31 14 5359 548 4 MP PP Xc0 X X-31 -14 124 -34 31 14 5359 548 4 MP DP Xc2 X X-31 -14 124 -34 31 14 4771 550 4 MP PP Xc0 X X-31 -14 124 -34 31 14 4771 550 4 MP DP Xc4 X X-31 -67 124 -64 31 68 5605 980 4 MP PP Xc0 X X-31 -67 124 -64 31 68 5605 980 4 MP DP Xc2 X X-30 -15 124 -34 31 14 5173 554 4 MP PP Xc0 X X-30 -15 124 -34 31 14 5173 554 4 MP DP Xcolortable /c26 { 0.000000 1.000000 0.571429 sc} put Xc26 X X-31 -131 125 -61 30 131 5604 1303 4 MP PP Xc0 X X-31 -131 125 -61 30 131 5604 1303 4 MP DP Xcolortable /c27 { 0.476190 0.000000 1.000000 sc} put Xc27 X X-31 -81 124 -63 31 80 5574 900 4 MP PP Xc0 X X-31 -81 124 -63 31 80 5574 900 4 MP DP Xcolortable /c28 { 0.285714 1.000000 0.000000 sc} put Xc28 X X-31 -19 124 -61 31 19 5665 1465 4 MP PP Xc0 X X-31 -19 124 -61 31 19 5665 1465 4 MP DP Xc25 X X-31 -18 124 -63 31 18 5851 1444 4 MP PP Xc0 X X-31 -18 124 -63 31 18 5851 1444 4 MP DP Xc2 X X-31 -14 125 -34 30 14 4988 559 4 MP PP Xc0 X X-31 -14 125 -34 30 14 4988 559 4 MP DP Xc2 X X-31 -17 125 -45 30 28 5390 562 4 MP PP Xc0 X X-31 -17 125 -45 30 28 5390 562 4 MP DP Xc21 X X-31 -44 124 -61 31 44 5542 1214 4 MP PP Xc0 X X-31 -44 124 -61 31 44 5542 1214 4 MP DP Xc2 X X-31 -15 124 -34 31 15 4802 564 4 MP PP Xc0 X X-31 -15 124 -34 31 15 4802 564 4 MP DP Xcolortable /c29 { 0.857143 0.000000 1.000000 sc} put Xc29 X X-30 -77 124 -64 31 77 5543 823 4 MP PP Xc0 X X-30 -77 124 -64 31 77 5543 823 4 MP DP Xc23 X X-31 -45 124 -61 31 45 5573 1258 4 MP PP Xc0 X X-31 -45 124 -61 31 45 5573 1258 4 MP DP Xc2 X X-30 -45 124 -63 31 63 5420 590 4 MP PP Xc0 X X-30 -45 124 -63 31 63 5420 590 4 MP DP Xc15 X X-30 -105 124 -61 31 105 5511 1109 4 MP PP Xc0 X X-30 -105 124 -61 31 105 5511 1109 4 MP DP Xc2 X X-31 -14 124 -34 31 14 5204 568 4 MP PP Xc0 X X-31 -14 124 -34 31 14 5204 568 4 MP DP Xcolortable /c30 { 1.000000 0.000000 0.380952 sc} put Xc30 X X-31 -47 124 -63 31 47 5451 653 4 MP PP Xc0 X X-31 -47 124 -63 31 47 5451 653 4 MP DP Xcolortable /c31 { 1.000000 0.000000 0.761905 sc} put Xc31 X X-31 -68 125 -64 30 69 5513 754 4 MP PP Xc0 X X-31 -68 125 -64 30 69 5513 754 4 MP DP Xc28 X X-31 -21 124 -61 31 21 5696 1484 4 MP PP Xc0 X X-31 -21 124 -61 31 21 5696 1484 4 MP DP Xc25 X X-31 -18 125 -64 30 19 5882 1462 4 MP PP Xc0 X X-31 -18 125 -64 30 19 5882 1462 4 MP DP Xcolortable /c32 { 1.000000 0.000000 0.571429 sc} put Xc32 X X-31 -54 124 -63 31 54 5482 700 4 MP PP Xc0 X X-31 -54 124 -63 31 54 5482 700 4 MP DP Xc28 X X-31 -31 124 -64 31 32 5510 1497 4 MP PP Xc0 X X-31 -31 124 -64 31 32 5510 1497 4 MP DP Xc2 X X-30 -15 124 -34 31 15 5018 573 4 MP PP Xc0 X X-30 -15 124 -34 31 15 5018 573 4 MP DP Xc19 X X-31 -68 125 -61 30 68 5481 1041 4 MP PP Xc0 X X-31 -68 125 -61 30 68 5481 1041 4 MP DP Xc2 X X-31 -14 125 -34 30 14 4833 579 4 MP PP Xc0 X X-31 -14 125 -34 30 14 4833 579 4 MP DP Xcolortable /c33 { 0.000000 1.000000 0.380952 sc} put Xc33 X X-30 -131 124 -63 31 131 5479 1366 4 MP PP Xc0 X X-30 -131 124 -63 31 131 5479 1366 4 MP DP Xc2 X X-31 -14 124 -35 31 15 5235 582 4 MP PP Xc0 X X-31 -14 124 -35 31 15 5235 582 4 MP DP Xcolortable /c34 { 0.285714 0.000000 1.000000 sc} put Xc34 X X-31 -80 124 -61 31 80 5450 961 4 MP PP Xc0 X X-31 -80 124 -61 31 80 5450 961 4 MP DP Xc25 X X-30 -28 124 -64 31 28 5912 1481 4 MP PP Xc0 X X-30 -28 124 -64 31 28 5912 1481 4 MP DP Xcolortable /c35 { 0.476190 1.000000 0.000000 sc} put Xc35 X X-31 -19 124 -63 31 18 5541 1529 4 MP PP Xc0 X X-31 -19 124 -63 31 18 5541 1529 4 MP DP Xc28 X X-31 -18 125 -61 30 18 5727 1505 4 MP PP Xc0 X X-31 -18 125 -61 30 18 5727 1505 4 MP DP Xc2 X X-31 -14 124 -34 31 14 4647 584 4 MP PP Xc0 X X-31 -14 124 -34 31 14 4647 584 4 MP DP Xc23 X X-31 -44 124 -64 31 45 5418 1277 4 MP PP Xc0 X X-31 -44 124 -64 31 45 5418 1277 4 MP DP Xc2 X X-31 -14 124 -34 31 14 5049 588 4 MP PP Xc0 X X-31 -14 124 -34 31 14 5049 588 4 MP DP Xcolortable /c36 { 0.666667 0.000000 1.000000 sc} put Xc36 X X-31 -77 124 -61 31 77 5419 884 4 MP PP Xc0 X X-31 -77 124 -61 31 77 5419 884 4 MP DP Xc26 X X-31 -45 125 -63 30 44 5449 1322 4 MP PP Xc0 X X-31 -45 125 -63 30 44 5449 1322 4 MP DP Xc2 X X-30 -28 124 -57 30 50 5266 597 4 MP PP Xc0 X X-30 -28 124 -57 30 50 5266 597 4 MP DP Xc13 X X-31 -105 124 -63 31 105 5387 1172 4 MP PP Xc0 X X-31 -105 124 -63 31 105 5387 1172 4 MP DP Xc2 X X-30 -14 124 -34 31 14 4863 593 4 MP PP Xc0 X X-30 -14 124 -34 31 14 4863 593 4 MP DP Xcolortable /c37 { 1.000000 0.000000 0.190476 sc} put Xc37 X X-31 -63 124 -61 31 67 5296 647 4 MP PP Xc0 X X-31 -63 124 -61 31 67 5296 647 4 MP DP Xcolortable /c38 { 1.000000 0.000000 0.476190 sc} put Xc38 X X-31 -47 124 -61 31 47 5327 714 4 MP PP Xc0 X X-31 -47 124 -61 31 47 5327 714 4 MP DP Xc28 X X-31 -18 124 -63 31 17 5943 1509 4 MP PP Xc0 X X-31 -18 124 -63 31 17 5943 1509 4 MP DP Xcolortable /c39 { 1.000000 0.000000 0.952381 sc} put Xc39 X X-30 -69 124 -61 31 69 5388 815 4 MP PP Xc0 X X-30 -69 124 -61 31 69 5388 815 4 MP DP Xc35 X X-31 -21 125 -64 30 22 5572 1547 4 MP PP Xc0 X X-31 -21 125 -64 30 22 5572 1547 4 MP DP Xcolortable /c40 { 0.380952 1.000000 0.000000 sc} put Xc40 X X-30 -19 124 -61 31 19 5757 1523 4 MP PP Xc0 X X-30 -19 124 -61 31 19 5757 1523 4 MP DP Xc31 X X-31 -54 125 -61 30 54 5358 761 4 MP PP Xc0 X X-31 -54 125 -61 30 54 5358 761 4 MP DP Xc35 X X-31 -32 124 -61 31 32 5386 1558 4 MP PP Xc0 X X-31 -32 124 -61 31 32 5386 1558 4 MP DP Xc2 X X-31 -15 125 -34 30 15 4678 598 4 MP PP Xc0 X X-31 -15 125 -34 30 15 4678 598 4 MP DP Xc2 X X-31 -14 124 -35 31 15 5080 602 4 MP PP Xc0 X X-31 -14 124 -35 31 15 5080 602 4 MP DP Xc16 X X-30 -68 124 -63 30 67 5357 1105 4 MP PP Xc0 X X-30 -68 124 -63 30 67 5357 1105 4 MP DP Xcolortable /c41 { 0.000000 1.000000 0.190476 sc} put Xc41 X X-31 -131 124 -61 31 131 5355 1427 4 MP PP Xc0 X X-31 -131 124 -61 31 131 5355 1427 4 MP DP Xc28 X X-31 -23 124 -64 31 24 5974 1526 4 MP PP Xc0 X X-31 -23 124 -64 31 24 5974 1526 4 MP DP Xc2 X X-31 -15 124 -34 31 15 4894 607 4 MP PP Xc0 X X-31 -15 124 -34 31 15 4894 607 4 MP DP Xc17 X X-31 -80 124 -64 31 81 5326 1024 4 MP PP Xc0 X X-31 -80 124 -64 31 81 5326 1024 4 MP DP Xc40 X X-31 -28 124 -61 31 28 5788 1542 4 MP PP Xc0 X X-31 -28 124 -61 31 28 5788 1542 4 MP DP Xcolortable /c42 { 0.571429 1.000000 0.000000 sc} put Xc42 X X-31 -18 124 -61 31 18 5417 1590 4 MP PP Xc0 X X-31 -18 124 -61 31 18 5417 1590 4 MP DP Xc35 X X-30 -18 124 -63 31 17 5602 1569 4 MP PP Xc0 X X-30 -18 124 -63 31 17 5602 1569 4 MP DP Xc26 X X-31 -45 124 -60 31 44 5294 1338 4 MP PP Xc0 X X-31 -45 124 -60 31 44 5294 1338 4 MP DP Xc2 X X-30 -14 124 -34 31 14 4708 613 4 MP PP Xc0 X X-30 -14 124 -34 31 14 4708 613 4 MP DP Xc27 X X-31 -77 124 -63 31 77 5295 947 4 MP PP Xc0 X X-31 -77 124 -63 31 77 5295 947 4 MP DP Xc33 X X-30 -44 124 -61 30 45 5325 1382 4 MP PP Xc0 X X-30 -44 124 -61 30 45 5325 1382 4 MP DP Xc2 X X-31 -15 125 -40 30 20 5111 617 4 MP PP Xc0 X X-31 -15 125 -40 30 20 5111 617 4 MP DP Xc22 X X-31 -105 124 -61 31 105 5263 1233 4 MP PP Xc0 X X-31 -105 124 -61 31 105 5263 1233 4 MP DP Xc2 X X-31 -14 124 -34 31 14 4523 618 4 MP PP Xc0 X X-31 -14 124 -34 31 14 4523 618 4 MP DP Xc40 X X-31 -19 125 -64 30 19 6005 1550 4 MP PP Xc0 X X-31 -19 125 -64 30 19 6005 1550 4 MP DP Xc30 X X-31 -67 124 -63 31 67 5172 710 4 MP PP Xc0 X X-31 -67 124 -63 31 67 5172 710 4 MP DP Xcolortable /c43 { 1.000000 0.000000 0.666667 sc} put Xc43 X X-31 -47 124 -64 31 48 5203 777 4 MP PP Xc0 X X-31 -47 124 -64 31 48 5203 777 4 MP DP Xc35 X X-31 -17 124 -61 31 17 5819 1570 4 MP PP Xc0 X X-31 -17 124 -61 31 17 5819 1570 4 MP DP Xc29 X X-31 -69 124 -63 31 68 5264 879 4 MP PP Xc0 X X-31 -69 124 -63 31 68 5264 879 4 MP DP Xcolortable /c44 { 0.666667 1.000000 0.000000 sc} put Xc44 X X-30 -22 124 -61 30 22 5448 1608 4 MP PP Xc0 X X-30 -22 124 -61 30 22 5448 1608 4 MP DP Xc42 X X-31 -19 124 -63 31 19 5633 1586 4 MP PP Xc0 X X-31 -19 124 -63 31 19 5633 1586 4 MP DP Xc39 X X-30 -54 124 -64 30 54 5234 825 4 MP PP Xc0 X X-30 -54 124 -64 30 54 5234 825 4 MP DP Xc2 X X-30 -50 124 -63 31 73 5141 637 4 MP PP Xc0 X X-30 -50 124 -63 31 73 5141 637 4 MP DP Xc2 X X-31 -14 124 -34 31 14 4925 622 4 MP PP Xc0 X X-31 -14 124 -34 31 14 4925 622 4 MP DP Xc44 X X-31 -32 124 -63 31 31 5262 1622 4 MP PP Xc0 X X-31 -32 124 -63 31 31 5262 1622 4 MP DP Xc15 X X-30 -67 124 -61 31 67 5232 1166 4 MP PP Xc0 X X-30 -67 124 -61 31 67 5232 1166 4 MP DP Xc2 X X-31 -14 124 -35 31 15 4739 627 4 MP PP Xc0 X X-31 -14 124 -35 31 15 4739 627 4 MP DP Xc40 X X-30 -32 124 -63 31 31 6035 1569 4 MP PP Xc0 X X-30 -32 124 -63 31 31 6035 1569 4 MP DP Xcolortable /c45 { 0.000000 1.000000 0.095238 sc} put Xc45 X X-31 -131 124 -64 31 131 5231 1491 4 MP PP Xc0 X X-31 -131 124 -64 31 131 5231 1491 4 MP DP Xc35 X X-31 -24 125 -61 30 24 5850 1587 4 MP PP Xc0 X X-31 -24 125 -61 30 24 5850 1587 4 MP DP Xc19 X X-31 -81 125 -61 30 81 5202 1085 4 MP PP Xc0 X X-31 -81 125 -61 30 81 5202 1085 4 MP DP Xc42 X X-31 -28 124 -63 31 28 5664 1605 4 MP PP Xc0 X X-31 -28 124 -63 31 28 5664 1605 4 MP DP Xcolortable /c46 { 0.761905 1.000000 0.000000 sc} put Xc46 X X-31 -18 125 -64 30 19 5293 1653 4 MP PP Xc0 X X-31 -18 125 -64 30 19 5293 1653 4 MP DP Xc2 X X-30 -15 124 -34 30 15 4554 632 4 MP PP Xc0 X X-30 -15 124 -34 30 15 4554 632 4 MP DP Xc44 X X-31 -17 124 -61 31 17 5478 1630 4 MP PP Xc0 X X-31 -17 124 -61 31 17 5478 1630 4 MP DP Xc2 X X-31 -15 125 -38 30 19 4956 636 4 MP PP Xc0 X X-31 -15 125 -38 30 19 4956 636 4 MP DP Xc8 X X-31 -44 125 -64 30 45 5170 1401 4 MP PP Xc0 X X-31 -44 125 -64 30 45 5170 1401 4 MP DP Xc35 X X-31 -33 124 -63 31 33 6066 1600 4 MP PP Xc0 X X-31 -33 124 -63 31 33 6066 1600 4 MP DP Xc20 X X-31 -77 124 -61 31 77 5171 1008 4 MP PP Xc0 X X-31 -77 124 -61 31 77 5171 1008 4 MP DP Xcolortable /c47 { 0.000000 1.000000 0.285714 sc} put Xc47 X X-30 -45 124 -64 31 45 5200 1446 4 MP PP Xc0 X X-30 -45 124 -64 31 45 5200 1446 4 MP DP Xc2 X X-31 -15 124 -35 31 15 4770 642 4 MP PP Xc0 X X-31 -15 124 -35 31 15 4770 642 4 MP DP Xc10 X X-31 -105 124 -63 31 104 5139 1297 4 MP PP Xc0 X X-31 -105 124 -63 31 104 5139 1297 4 MP DP Xc42 X X-30 -19 124 -61 31 19 5880 1611 4 MP PP Xc0 X X-30 -19 124 -61 31 19 5880 1611 4 MP DP Xcolortable /c48 { 1.000000 0.000000 0.857143 sc} put Xc48 X X-31 -48 125 -61 30 48 5079 838 4 MP PP Xc0 X X-31 -48 125 -61 30 48 5079 838 4 MP DP Xc32 X X-31 -67 124 -61 31 67 5048 771 4 MP PP Xc0 X X-31 -67 124 -61 31 67 5048 771 4 MP DP Xc44 X X-31 -17 125 -64 30 18 5695 1633 4 MP PP Xc0 X X-31 -17 125 -64 30 18 5695 1633 4 MP DP Xc36 X X-31 -68 124 -61 31 68 5140 940 4 MP PP Xc0 X X-31 -68 124 -61 31 68 5140 940 4 MP DP Xcolortable /c49 { 0.857143 1.000000 0.000000 sc} put Xc49 X X-30 -22 124 -63 31 21 5323 1672 4 MP PP Xc0 X X-30 -22 124 -63 31 21 5323 1672 4 MP DP Xc44 X X-31 -19 124 -61 31 19 5509 1647 4 MP PP Xc0 X X-31 -19 124 -61 31 19 5509 1647 4 MP DP Xcolortable /c50 { 0.952381 0.000000 1.000000 sc} put Xc50 X X-30 -54 124 -61 31 54 5109 886 4 MP PP Xc0 X X-30 -54 124 -61 31 54 5109 886 4 MP DP Xc49 X X-31 -31 125 -61 30 32 5138 1682 4 MP PP Xc0 X X-31 -31 125 -61 30 32 5138 1682 4 MP DP Xc2 X X-31 -14 124 -34 31 14 4584 647 4 MP PP Xc0 X X-31 -14 124 -34 31 14 4584 647 4 MP DP Xc2 X X-30 -20 124 -51 31 33 4986 655 4 MP PP Xc0 X X-30 -20 124 -51 31 33 4986 655 4 MP DP Xcolortable /c51 { 1.000000 0.000000 0.095238 sc} put Xc51 X X-31 -73 124 -61 31 83 5017 688 4 MP PP Xc0 X X-31 -73 124 -61 31 83 5017 688 4 MP DP Xc13 X X-31 -67 124 -64 31 68 5108 1229 4 MP PP Xc0 X X-31 -67 124 -64 31 68 5108 1229 4 MP DP Xc2 X X-31 -14 125 -34 30 14 4399 652 4 MP PP Xc0 X X-31 -14 125 -34 30 14 4399 652 4 MP DP Xc42 X X-31 -31 124 -61 31 31 5911 1630 4 MP PP Xc0 X X-31 -31 124 -61 31 31 5911 1630 4 MP DP Xc24 X X-31 -131 124 -60 31 130 5107 1552 4 MP PP Xc0 X X-31 -131 124 -60 31 130 5107 1552 4 MP DP Xc2 X X-31 -14 125 -36 30 15 4801 657 4 MP PP Xc0 X X-31 -14 125 -36 30 15 4801 657 4 MP DP Xc44 X X-30 -24 124 -63 31 23 5725 1651 4 MP PP Xc0 X X-30 -24 124 -63 31 23 5725 1651 4 MP DP Xc16 X X-30 -81 124 -63 31 80 5077 1149 4 MP PP Xc0 X X-30 -81 124 -63 31 80 5077 1149 4 MP DP Xc46 X X-31 -28 125 -61 30 28 5540 1666 4 MP PP Xc0 X X-31 -28 125 -61 30 28 5540 1666 4 MP DP Xcolortable /c52 { 0.952381 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124 -61 31 28 5291 1791 4 MP DP Xcolortable /c61 { 1.000000 0.666667 0.000000 sc} put Xc61 X X-31 -18 124 -61 31 19 4920 1838 4 MP PP Xc0 X X-31 -18 124 -61 31 19 4920 1838 4 MP DP Xc60 X X-31 -18 125 -63 30 18 5106 1817 4 MP PP Xc0 X X-31 -18 125 -63 30 18 5106 1817 4 MP DP Xc24 X X-31 -44 124 -61 31 44 4797 1587 4 MP PP Xc0 X X-31 -44 124 -61 31 44 4797 1587 4 MP DP Xc55 X X-30 -33 124 -61 31 34 5693 1785 4 MP PP Xc0 X X-30 -33 124 -61 31 34 5693 1785 4 MP DP Xc14 X X-31 -77 124 -64 31 77 4798 1196 4 MP PP Xc0 X X-31 -77 124 -64 31 77 4798 1196 4 MP DP Xc28 X X-31 -45 124 -61 31 45 4828 1631 4 MP PP Xc0 X X-31 -45 124 -61 31 45 4828 1631 4 MP DP Xc2 X X-31 -15 124 -39 31 19 4336 716 4 MP PP Xc0 X X-31 -15 124 -39 31 19 4336 716 4 MP DP Xc8 X X-31 -105 124 -61 31 105 4766 1482 4 MP PP Xc0 X X-31 -105 124 -61 31 105 4766 1482 4 MP DP Xc51 X X-30 -19 124 -58 31 22 4552 751 4 MP PP Xc0 X X-30 -19 124 -58 31 22 4552 751 4 MP DP Xc55 X X-31 -19 124 -64 31 19 5508 1799 4 MP PP Xc0 X X-31 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124 -61 31 67 4551 1020 4 MP PP Xc0 X X-31 -67 124 -61 31 67 4551 1020 4 MP DP Xc61 X X-31 -17 124 -63 31 17 5198 1882 4 MP PP Xc0 X X-31 -17 124 -63 31 17 5198 1882 4 MP DP Xc56 X X-31 -22 124 -60 31 22 4428 811 4 MP PP Xc0 X X-31 -22 124 -60 31 22 4428 811 4 MP DP Xc4 X X-30 -68 124 -61 31 69 4643 1188 4 MP PP Xc0 X X-30 -68 124 -61 31 69 4643 1188 4 MP DP Xc63 X X-30 -21 124 -64 30 22 4827 1920 4 MP PP Xc0 X X-30 -21 124 -64 30 22 4827 1920 4 MP DP Xc62 X X-31 -19 124 -61 31 19 5012 1896 4 MP PP Xc0 X X-31 -19 124 -61 31 19 5012 1896 4 MP DP Xc18 X X-31 -55 125 -60 30 54 4613 1134 4 MP PP Xc0 X X-31 -55 125 -60 30 54 4613 1134 4 MP DP Xc2 X X-31 -19 125 -53 30 31 4212 757 4 MP PP Xc0 X X-31 -19 125 -53 30 31 4212 757 4 MP DP Xc31 X X-30 -85 124 -61 31 85 4520 935 4 MP PP Xc0 X X-30 -85 124 -61 31 85 4520 935 4 MP DP Xc30 X X-31 -57 124 -61 31 58 4459 833 4 MP PP Xc0 X X-31 -57 124 -61 31 58 4459 833 4 MP DP Xc58 X X-30 -67 124 -63 31 67 4611 1478 4 MP PP Xc0 X X-30 -67 124 -63 31 67 4611 1478 4 MP DP Xc32 X X-31 -44 125 -61 30 44 4490 891 4 MP PP Xc0 X X-31 -44 125 -61 30 44 4490 891 4 MP DP Xc51 X X-30 -49 124 -63 31 59 4242 788 4 MP PP Xc0 X X-30 -49 124 -63 31 59 4242 788 4 MP DP Xc60 X X-30 -31 124 -61 31 31 5414 1879 4 MP PP Xc0 X X-30 -31 124 -61 31 31 5414 1879 4 MP DP Xc61 X X-31 -24 125 -63 30 24 5229 1899 4 MP PP Xc0 X X-31 -24 125 -63 30 24 5229 1899 4 MP DP Xc10 X X-31 -81 125 -63 30 81 4581 1397 4 MP PP Xc0 X X-31 -81 125 -63 30 81 4581 1397 4 MP DP Xc62 X X-31 -28 124 -61 31 28 5043 1915 4 MP PP Xc0 X X-31 -28 124 -61 31 28 5043 1915 4 MP DP Xcolortable /c64 { 1.000000 0.380952 0.000000 sc} put Xc64 X X-31 -18 124 -64 31 18 4857 1942 4 MP PP Xc0 X X-31 -18 124 -64 31 18 4857 1942 4 MP DP Xc30 X X-31 -27 124 -63 31 27 4273 847 4 MP PP Xc0 X X-31 -27 124 -63 31 27 4273 847 4 MP DP Xc62 X X-31 -33 124 -61 31 33 5445 1910 4 MP PP Xc0 X X-31 -33 124 -61 31 33 5445 1910 4 MP DP Xc12 X X-31 -77 124 -63 31 77 4550 1320 4 MP PP Xc0 X X-31 -77 124 -63 31 77 4550 1320 4 MP DP Xc62 X X-30 -19 124 -63 31 19 5259 1923 4 MP PP Xc0 X X-30 -19 124 -63 31 19 5259 1923 4 MP DP Xc18 X X-31 -47 125 -64 30 48 4458 1150 4 MP PP Xc0 X X-31 -47 125 -64 30 48 4458 1150 4 MP DP Xc59 X X-31 -67 124 -63 31 67 4427 1083 4 MP PP Xc0 X X-31 -67 124 -63 31 67 4427 1083 4 MP DP Xc63 X X-31 -17 125 -61 30 17 5074 1943 4 MP PP Xc0 X X-31 -17 125 -61 30 17 5074 1943 4 MP DP Xc14 X X-31 -69 124 -63 31 68 4519 1252 4 MP PP Xc0 X X-31 -69 124 -63 31 68 4519 1252 4 MP DP Xc38 X X-31 -22 124 -64 31 23 4304 874 4 MP PP Xc0 X X-31 -22 124 -64 31 23 4304 874 4 MP DP Xc64 X X-31 -19 124 -63 31 18 4888 1960 4 MP PP Xc0 X X-31 -19 124 -63 31 18 4888 1960 4 MP DP Xc4 X X-30 -54 124 -64 31 54 4488 1198 4 MP PP Xc0 X X-30 -54 124 -64 31 54 4488 1198 4 MP DP Xc39 X X-31 -85 124 -63 31 85 4396 998 4 MP PP Xc0 X X-31 -85 124 -63 31 85 4396 998 4 MP DP Xc32 X X-31 -58 125 -63 30 57 4335 897 4 MP PP Xc0 X X-31 -58 125 -63 30 57 4335 897 4 MP DP Xc31 X X-30 -44 124 -63 31 44 4365 954 4 MP PP Xc0 X X-30 -44 124 -63 31 44 4365 954 4 MP DP Xc62 X X-31 -31 124 -63 31 31 5290 1942 4 MP PP Xc0 X X-31 -31 124 -63 31 31 5290 1942 4 MP DP Xc63 X X-30 -24 124 -61 31 24 5104 1960 4 MP PP Xc0 X X-30 -24 124 -61 31 24 5104 1960 4 MP DP Xc64 X X-31 -28 125 -64 30 29 4919 1978 4 MP PP Xc0 X X-31 -28 125 -64 30 29 4919 1978 4 MP DP Xc64 X X-31 -33 124 -64 31 34 5321 1973 4 MP PP Xc0 X X-31 -33 124 -64 31 34 5321 1973 4 MP DP Xc64 X X-31 -19 124 -61 31 19 5135 1984 4 MP PP Xc0 X X-31 -19 124 -61 31 19 5135 1984 4 MP DP Xcolortable /c65 { 1.000000 0.285714 0.000000 sc} put Xc65 X X-30 -17 124 -64 31 17 4949 2007 4 MP PP Xc0 X X-30 -17 124 -64 31 17 4949 2007 4 MP DP Xc64 X X-31 -31 124 -61 31 31 5166 2003 4 MP PP Xc0 X X-31 -31 124 -61 31 31 5166 2003 4 MP DP Xc65 X X-31 -24 124 -63 31 23 4980 2024 4 MP PP Xc0 X X-31 -24 124 -63 31 23 4980 2024 4 MP DP Xc65 X X-31 -34 125 -60 30 33 5197 2034 4 MP PP Xc0 X X-31 -34 125 -60 30 33 5197 2034 4 MP DP Xcolortable /c66 { 1.000000 0.190476 0.000000 sc} put Xc66 X X-31 -19 124 -63 31 19 5011 2047 4 MP PP Xc0 X X-31 -19 124 -63 31 19 5011 2047 4 MP DP Xc66 X X-31 -31 125 -64 30 32 5042 2066 4 MP PP Xc0 X X-31 -31 125 -64 30 32 5042 2066 4 MP DP Xcolortable /c67 { 1.000000 0.095238 0.000000 sc} put Xc67 X X-30 -33 124 -64 31 33 5072 2098 4 MP PP Xc0 X X-30 -33 124 -64 31 33 5072 2098 4 MP DP Xgr XDO XSO X1851 4614 mt 3094 4274 L X 898 4171 mt 1851 4614 L X 898 4171 mt 898 3204 L X2162 4529 mt 2191 4543 L X2216 4710 mt (5) s X2550 4423 mt 2580 4436 L X2604 4604 mt (10) s X2939 4317 mt 2968 4330 L X2992 4498 mt (15) s X1175 4300 mt 1144 4308 L X 932 4471 mt (10) s X1482 4443 mt 1451 4451 L X1239 4614 mt (20) s X1790 4585 mt 1759 4594 L X1547 4757 mt (30) s X 898 4023 mt 869 4010 L X 695 4060 mt (-4) s X 898 3836 mt 869 3823 L X 695 3873 mt (-2) s X 898 3649 mt 869 3635 L X 751 3686 mt (0) s X 898 3462 mt 869 3448 L X 751 3499 mt (2) s X 898 3274 mt 869 3261 L X 751 3311 mt (4) s X1413 2731 mt (LSQR solutions) s Xgs 898 2864 2197 1751 MR c np Xc13 X X-30 808 77 -295 31 4 2063 3314 4 MP PP Xc0 X X-30 808 77 -295 31 4 2063 3314 4 MP DP Xc12 X X-31 -4 78 -28 31 23 1985 3323 4 MP PP Xc0 X X-31 -4 78 -28 31 23 1985 3323 4 MP DP Xc15 X X-31 -32 78 279 30 -2 2217 3358 4 MP PP Xc0 X X-31 -32 78 279 30 -2 2217 3358 4 MP DP Xc12 X X-30 -206 77 245 31 3 2186 3355 4 MP PP Xc0 X X-30 -206 77 245 31 3 2186 3355 4 MP DP Xc13 X X-30 -13 77 -31 31 16 2016 3346 4 MP PP Xc0 X X-30 -13 77 -31 31 16 2016 3346 4 MP DP Xc12 X X-31 -23 78 -21 30 23 1908 3344 4 MP PP Xc0 X X-31 -23 78 -21 30 23 1908 3344 4 MP DP Xc13 X X-31 -14 77 -27 31 10 2047 3362 4 MP PP Xc0 X X-31 -14 77 -27 31 10 2047 3362 4 MP DP Xc13 X X-31 -16 78 -22 31 17 1938 3367 4 MP PP Xc0 X X-31 -16 78 -22 31 17 1938 3367 4 MP DP Xc12 X X-31 -294 78 42 31 10 2155 3345 4 MP PP Xc0 X X-31 -294 78 42 31 10 2155 3345 4 MP DP Xc11 X X-31 136 78 146 31 -3 2247 3356 4 MP PP Xc0 X X-31 136 78 146 31 -3 2247 3356 4 MP DP Xc13 X X-30 -23 77 -24 31 12 1830 3379 4 MP PP Xc0 X X-30 -23 77 -24 31 12 1830 3379 4 MP DP Xc12 X X-31 -10 78 -20 30 3 2078 3372 4 MP PP Xc0 X X-31 -10 78 -20 30 3 2078 3372 4 MP DP Xc13 X X-31 -10 78 -21 31 9 1969 3384 4 MP PP Xc0 X X-31 -10 78 -21 31 9 1969 3384 4 MP DP Xc12 X X-31 130 78 -438 30 13 2094 3318 4 MP PP Xc0 X X-31 130 78 -438 30 13 2094 3318 4 MP DP Xc13 X X-31 -17 78 -17 30 10 1861 3391 4 MP PP Xc0 X X-31 -17 78 -17 30 10 1861 3391 4 MP DP Xc13 X X-31 -12 78 -22 31 13 1752 3400 4 MP PP Xc0 X X-31 -12 78 -22 31 13 1752 3400 4 MP DP Xc12 X X-31 -210 78 -242 31 14 2124 3331 4 MP PP Xc0 X X-31 -210 78 -242 31 14 2124 3331 4 MP DP Xc12 X X-31 -3 78 -15 31 -2 2108 3375 4 MP PP Xc0 X X-31 -3 78 -15 31 -2 2108 3375 4 MP DP Xc12 X X-30 -3 77 -21 31 3 2000 3393 4 MP PP Xc0 X X-30 -3 77 -21 31 3 2000 3393 4 MP DP Xc12 X X-31 -9 78 -14 31 6 1891 3401 4 MP PP Xc0 X X-31 -9 78 -14 31 6 1891 3401 4 MP DP Xc13 X X-30 -10 77 -21 31 9 1783 3413 4 MP PP Xc0 X X-30 -10 77 -21 31 9 1783 3413 4 MP DP Xc15 X X-30 2 77 -15 31 -2 2139 3373 4 MP PP Xc0 X X-30 2 77 -15 31 -2 2139 3373 4 MP DP Xc13 X X-31 -13 78 -21 30 13 1675 3421 4 MP PP Xc0 X X-31 -13 78 -21 30 13 1675 3421 4 MP DP Xc12 X X-31 2 78 -21 30 -2 2031 3396 4 MP PP Xc0 X X-31 2 78 -21 30 -2 2031 3396 4 MP DP Xc12 X X-31 -3 78 -15 31 4 1922 3407 4 MP PP Xc0 X X-31 -3 78 -15 31 4 1922 3407 4 MP DP Xc16 X X-31 216 78 -70 31 0 2278 3353 4 MP PP Xc0 X X-31 216 78 -70 31 0 2278 3353 4 MP DP Xc12 X X-31 -6 77 -21 31 6 1814 3422 4 MP PP Xc0 X X-31 -6 77 -21 31 6 1814 3422 4 MP DP Xc13 X X-31 -9 78 -21 31 9 1705 3434 4 MP PP Xc0 X X-31 -9 78 -21 31 9 1705 3434 4 MP DP Xc11 X X-31 3 77 -17 31 -1 2170 3371 4 MP PP Xc0 X X-31 3 77 -17 31 -1 2170 3371 4 MP DP Xc13 X X-30 -13 77 -23 31 8 1597 3449 4 MP PP Xc0 X X-30 -13 77 -23 31 8 1597 3449 4 MP DP Xc15 X X-31 2 78 -21 31 -2 2061 3394 4 MP PP Xc0 X X-31 2 78 -21 31 -2 2061 3394 4 MP DP Xc15 X X-30 2 77 -19 31 2 1953 3411 4 MP PP Xc0 X X-30 2 77 -19 31 2 1953 3411 4 MP DP Xc12 X X-31 -4 78 -21 30 4 1845 3428 4 MP PP Xc0 X X-31 -4 78 -21 30 4 1845 3428 4 MP DP Xc12 X X-31 -6 78 -21 31 6 1736 3443 4 MP PP Xc0 X X-31 -6 78 -21 31 6 1736 3443 4 MP DP Xc13 X X-31 -9 78 -20 30 6 1628 3457 4 MP PP Xc0 X X-31 -9 78 -20 30 6 1628 3457 4 MP DP Xc16 X X-31 0 78 -22 30 5 2201 3370 4 MP PP Xc0 X X-31 0 78 -22 30 5 2201 3370 4 MP DP Xc13 X X-31 -8 78 -21 31 8 1519 3470 4 MP PP Xc0 X X-31 -8 78 -21 31 8 1519 3470 4 MP DP Xc11 X X-31 1 78 -22 31 0 2092 3392 4 MP PP Xc0 X X-31 1 78 -22 31 0 2092 3392 4 MP DP Xc11 X X-31 2 78 -23 30 2 1984 3413 4 MP PP Xc0 X X-31 2 78 -23 30 2 1984 3413 4 MP DP Xc15 X X-31 -2 78 -21 31 2 1875 3432 4 MP PP Xc0 X X-31 -2 78 -21 31 2 1875 3432 4 MP DP Xc12 X X-30 -4 77 -21 31 4 1767 3449 4 MP PP Xc0 X X-30 -4 77 -21 31 4 1767 3449 4 MP DP Xc12 X X-31 -6 78 -18 31 4 1658 3463 4 MP PP Xc0 X X-31 -6 78 -18 31 4 1658 3463 4 MP DP Xc14 X X-31 -6 78 -27 31 11 2231 3375 4 MP PP Xc0 X X-31 -6 78 -27 31 11 2231 3375 4 MP DP Xc14 X X-30 172 77 -248 31 6 2309 3353 4 MP PP Xc0 X X-30 172 77 -248 31 6 2309 3353 4 MP DP Xc13 X X-30 -6 77 -21 31 6 1550 3478 4 MP PP Xc0 X X-30 -6 77 -21 31 6 1550 3478 4 MP DP Xc16 X X-31 -20 78 212 30 19 2463 3441 4 MP PP Xc0 X X-31 -20 78 212 30 19 2463 3441 4 MP DP Xc16 X X-30 -5 77 -21 31 4 2123 3392 4 MP PP Xc0 X X-30 -5 77 -21 31 4 2123 3392 4 MP DP Xc16 X X-30 -182 77 211 31 21 2432 3420 4 MP PP Xc0 X X-30 -182 77 211 31 21 2432 3420 4 MP DP Xc11 X X-31 0 78 -26 31 3 2014 3415 4 MP PP Xc0 X X-31 0 78 -26 31 3 2014 3415 4 MP DP Xc13 X X-31 -8 78 -21 30 7 1442 3492 4 MP PP Xc0 X X-31 -8 78 -21 30 7 1442 3492 4 MP DP Xc11 X X-30 -2 77 -21 31 2 1906 3434 4 MP PP Xc0 X X-30 -2 77 -21 31 2 1906 3434 4 MP DP Xc15 X X-31 -2 78 -21 30 2 1798 3453 4 MP PP Xc0 X X-31 -2 78 -21 30 2 1798 3453 4 MP DP Xc14 X X-30 -16 77 -27 31 16 2262 3386 4 MP PP Xc0 X X-30 -16 77 -27 31 16 2262 3386 4 MP DP Xc12 X X-31 -4 78 -18 31 4 1689 3467 4 MP PP Xc0 X X-31 -4 78 -18 31 4 1689 3467 4 MP DP Xc12 X X-31 -4 77 -21 31 4 1581 3484 4 MP PP Xc0 X X-31 -4 77 -21 31 4 1581 3484 4 MP DP Xc14 X X-31 -11 78 -21 30 11 2154 3396 4 MP PP Xc0 X X-31 -11 78 -21 30 11 2154 3396 4 MP DP Xc13 X X-31 -6 78 -21 31 6 1472 3499 4 MP PP Xc0 X X-31 -6 78 -21 31 6 1472 3499 4 MP DP Xc16 X X-31 -4 78 -27 31 5 2045 3418 4 MP PP Xc0 X X-31 -4 78 -27 31 5 2045 3418 4 MP DP Xc14 X X-31 -234 78 50 31 24 2401 3396 4 MP PP Xc0 X X-31 -234 78 50 31 24 2401 3396 4 MP DP Xc11 X X-31 -3 77 -21 31 3 1937 3436 4 MP PP Xc0 X X-31 -3 77 -21 31 3 1937 3436 4 MP DP Xc14 X X-31 -21 77 -25 31 19 2293 3402 4 MP PP Xc0 X X-31 -21 77 -25 31 19 2293 3402 4 MP DP Xc13 X X-30 -7 77 -14 31 9 1364 3504 4 MP PP Xc0 X X-30 -7 77 -14 31 9 1364 3504 4 MP DP Xc16 X X-31 141 78 54 31 17 2493 3460 4 MP PP Xc0 X X-31 141 78 54 31 17 2493 3460 4 MP DP Xc11 X X-31 -2 78 -21 31 2 1828 3455 4 MP PP Xc0 X X-31 -2 78 -21 31 2 1828 3455 4 MP DP Xc15 X X-30 -2 77 -19 31 3 1720 3471 4 MP PP Xc0 X X-30 -2 77 -19 31 3 1720 3471 4 MP DP Xc14 X X-31 -16 78 -21 31 16 2184 3407 4 MP PP Xc0 X X-31 -16 78 -21 31 16 2184 3407 4 MP DP Xc19 X X-31 23 78 -287 30 16 2340 3359 4 MP PP Xc0 X X-31 23 78 -287 30 16 2340 3359 4 MP DP Xc12 X X-31 -4 78 -21 30 4 1612 3488 4 MP PP Xc0 X X-31 -4 78 -21 30 4 1612 3488 4 MP DP Xc14 X X-31 -24 78 -19 30 18 2324 3421 4 MP PP Xc0 X X-31 -24 78 -19 30 18 2324 3421 4 MP DP Xc12 X X-31 -4 78 -22 31 5 1503 3505 4 MP PP Xc0 X X-31 -4 78 -22 31 5 1503 3505 4 MP DP Xc14 X X-30 -11 77 -25 31 9 2076 3423 4 MP PP Xc0 X X-30 -11 77 -25 31 9 2076 3423 4 MP DP Xc19 X X-31 -148 78 -160 31 21 2370 3375 4 MP PP Xc0 X X-31 -148 78 -160 31 21 2370 3375 4 MP DP Xc16 X X-31 -5 78 -22 30 6 1968 3439 4 MP PP Xc0 X X-31 -5 78 -22 30 6 1968 3439 4 MP DP Xc12 X X-31 -6 78 -15 30 7 1395 3513 4 MP PP Xc0 X X-31 -6 78 -15 30 7 1395 3513 4 MP DP Xc14 X X-31 -19 78 -21 31 19 2215 3423 4 MP PP Xc0 X X-31 -19 78 -21 31 19 2215 3423 4 MP DP Xc11 X X-31 -3 78 -21 31 3 1859 3457 4 MP PP Xc0 X X-31 -3 78 -21 31 3 1859 3457 4 MP DP Xc11 X X-31 -2 78 -21 30 4 1751 3474 4 MP PP Xc0 X X-31 -2 78 -21 30 4 1751 3474 4 MP DP Xc13 X X-31 -9 78 -21 31 9 1286 3525 4 MP PP Xc0 X X-31 -9 78 -21 31 9 1286 3525 4 MP DP Xc14 X X-31 -21 78 -16 31 18 2354 3439 4 MP PP Xc0 X X-31 -21 78 -16 31 18 2354 3439 4 MP DP Xc15 X X-31 -3 78 -21 31 3 1642 3492 4 MP PP Xc0 X X-31 -3 78 -21 31 3 1642 3492 4 MP DP Xc14 X X-31 -16 78 -21 30 12 2107 3432 4 MP PP Xc0 X X-31 -16 78 -21 30 12 2107 3432 4 MP DP Xc12 X X-30 -4 77 -21 31 3 1534 3510 4 MP PP Xc0 X X-30 -4 77 -21 31 3 1534 3510 4 MP DP Xc14 X X-30 -18 77 -21 31 18 2246 3442 4 MP PP Xc0 X X-30 -18 77 -21 31 18 2246 3442 4 MP DP Xc14 X X-31 -9 78 -21 31 8 1998 3445 4 MP PP Xc0 X X-31 -9 78 -21 31 8 1998 3445 4 MP DP Xc12 X X-31 -5 78 -17 31 7 1425 3520 4 MP PP Xc0 X X-31 -5 78 -17 31 7 1425 3520 4 MP DP Xc16 X X-30 -19 77 -16 31 19 2385 3457 4 MP PP Xc0 X X-30 -19 77 -16 31 19 2385 3457 4 MP DP Xc16 X X-30 -6 77 -21 31 6 1890 3460 4 MP PP Xc0 X X-30 -6 77 -21 31 6 1890 3460 4 MP DP Xc12 X X-30 -7 77 -21 31 7 1317 3534 4 MP PP Xc0 X X-30 -7 77 -21 31 7 1317 3534 4 MP DP Xc11 X X-31 -3 78 -23 31 5 1781 3478 4 MP PP Xc0 X X-31 -3 78 -23 31 5 1781 3478 4 MP DP Xc14 X X-31 -19 78 -16 31 14 2137 3444 4 MP PP Xc0 X X-31 -19 78 -16 31 14 2137 3444 4 MP DP Xc13 X X-31 -9 78 -24 30 8 1209 3550 4 MP PP Xc0 X X-31 -9 78 -24 30 8 1209 3550 4 MP DP Xc11 X X-30 -4 77 -21 31 4 1673 3495 4 MP PP Xc0 X X-30 -4 77 -21 31 4 1673 3495 4 MP DP Xc11 X X-31 191 78 -155 31 18 2524 3477 4 MP PP Xc0 X X-31 191 78 -155 31 18 2524 3477 4 MP DP Xc14 X X-31 -18 78 -22 30 19 2277 3460 4 MP PP Xc0 X X-31 -18 78 -22 30 19 2277 3460 4 MP DP Xc15 X X-31 -3 78 -21 30 3 1565 3513 4 MP PP Xc0 X X-31 -3 78 -21 30 3 1565 3513 4 MP DP Xc14 X X-30 -12 77 -21 31 12 2029 3453 4 MP PP Xc0 X X-30 -12 77 -21 31 12 2029 3453 4 MP DP Xc16 X X-31 -17 77 -20 31 21 2416 3476 4 MP PP Xc0 X X-31 -17 77 -20 31 21 2416 3476 4 MP DP Xc15 X X-31 -3 78 -20 31 6 1456 3527 4 MP PP Xc0 X X-31 -3 78 -20 31 6 1456 3527 4 MP DP Xc14 X X-31 -8 78 -21 30 8 1921 3466 4 MP PP Xc0 X X-31 -8 78 -21 30 8 1921 3466 4 MP DP Xc14 X X-31 -18 78 -16 31 18 2168 3458 4 MP PP Xc0 X X-31 -18 78 -16 31 18 2168 3458 4 MP DP Xc12 X X-31 -7 77 -21 31 7 1348 3541 4 MP PP Xc0 X X-31 -7 77 -21 31 7 1348 3541 4 MP DP Xc16 X X-31 -6 78 -24 31 7 1812 3483 4 MP PP Xc0 X X-31 -6 78 -24 31 7 1812 3483 4 MP DP Xc16 X X-31 -19 78 -21 31 18 2307 3479 4 MP PP Xc0 X X-31 -19 78 -21 31 18 2307 3479 4 MP DP Xc13 X X-31 -7 78 -24 31 7 1239 3558 4 MP PP Xc0 X X-31 -7 78 -24 31 7 1239 3558 4 MP DP Xc16 X X-31 -18 78 -24 30 22 2447 3497 4 MP PP Xc0 X X-31 -18 78 -24 30 22 2447 3497 4 MP DP Xc11 X X-31 -5 77 -21 31 5 1704 3499 4 MP PP Xc0 X X-31 -5 77 -21 31 5 1704 3499 4 MP DP Xc14 X X-31 -14 77 -22 31 15 2060 3465 4 MP PP Xc0 X X-31 -14 77 -22 31 15 2060 3465 4 MP DP Xc13 X X-30 -8 77 -28 31 12 1131 3574 4 MP PP Xc0 X X-30 -8 77 -28 31 12 1131 3574 4 MP DP Xc11 X X-31 -4 78 -21 31 4 1595 3516 4 MP PP Xc0 X X-31 -4 78 -21 31 4 1595 3516 4 MP DP Xc14 X X-30 -19 77 -18 31 21 2199 3476 4 MP PP Xc0 X X-30 -19 77 -18 31 21 2199 3476 4 MP DP Xc15 X X-30 -3 77 -23 31 6 1487 3533 4 MP PP Xc0 X X-30 -3 77 -23 31 6 1487 3533 4 MP DP Xc14 X X-31 -12 78 -21 31 12 1951 3474 4 MP PP Xc0 X X-31 -12 78 -21 31 12 1951 3474 4 MP DP Xc16 X X-31 -21 78 -21 31 21 2338 3497 4 MP PP Xc0 X X-31 -21 78 -21 31 21 2338 3497 4 MP DP Xc15 X X-31 -6 78 -21 30 6 1379 3548 4 MP PP Xc0 X X-31 -6 78 -21 30 6 1379 3548 4 MP DP Xc11 X X-31 -17 78 -27 31 20 2477 3519 4 MP PP Xc0 X X-31 -17 78 -27 31 20 2477 3519 4 MP DP Xc14 X X-30 -8 77 -25 31 9 1843 3490 4 MP PP Xc0 X X-30 -8 77 -25 31 9 1843 3490 4 MP DP Xc14 X X-31 -18 78 -21 30 17 2091 3480 4 MP PP Xc0 X X-31 -18 78 -21 30 17 2091 3480 4 MP DP Xc12 X X-31 -7 78 -23 31 6 1270 3565 4 MP PP Xc0 X X-31 -7 78 -23 31 6 1270 3565 4 MP DP Xc16 X X-31 -7 78 -21 30 7 1735 3504 4 MP PP Xc0 X X-31 -7 78 -21 30 7 1735 3504 4 MP DP Xc14 X X-31 -18 77 -23 31 23 2230 3497 4 MP PP Xc0 X X-31 -18 77 -23 31 23 2230 3497 4 MP DP Xc13 X X-31 -7 78 -31 30 10 1162 3586 4 MP PP Xc0 X X-31 -7 78 -31 30 10 1162 3586 4 MP DP 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3658 4 MP DP Xc13 X X-31 540 78 -427 30 6 2986 3746 4 MP PP Xc0 X X-31 540 78 -427 30 6 2986 3746 4 MP DP Xc16 X X-31 -28 78 -23 31 26 1639 3691 4 MP PP Xc0 X X-31 -28 78 -23 31 26 1639 3691 4 MP DP Xc34 X X-30 1 77 -21 31 -1 2429 3565 4 MP PP Xc0 X X-30 1 77 -21 31 -1 2429 3565 4 MP DP Xc17 X X-31 12 78 -21 31 -12 2320 3598 4 MP PP Xc0 X X-31 12 78 -21 31 -12 2320 3598 4 MP DP Xc11 X X-31 -17 78 -21 31 17 1778 3719 4 MP PP Xc0 X X-31 -17 78 -21 31 17 1778 3719 4 MP DP Xc11 X X-31 -44 77 -21 31 44 2769 3708 4 MP PP Xc0 X X-31 -44 77 -21 31 44 2769 3708 4 MP DP Xc14 X X-31 -23 78 -43 30 29 1392 3672 4 MP PP Xc0 X X-31 -23 78 -43 30 29 1392 3672 4 MP DP Xc20 X X-30 -32 77 -24 31 28 2568 3557 4 MP PP Xc0 X X-30 -32 77 -24 31 28 2568 3557 4 MP DP Xc12 X X-31 -33 78 -21 30 33 2800 3752 4 MP PP Xc0 X X-31 -33 78 -21 30 33 2800 3752 4 MP DP Xc14 X X-31 -25 77 -30 31 33 1531 3688 4 MP PP Xc0 X X-31 -25 77 -30 31 33 1531 3688 4 MP DP Xc11 X X-30 -25 77 -20 31 22 1670 3717 4 MP PP Xc0 X X-30 -25 77 -20 31 22 1670 3717 4 MP DP Xc11 X X-31 -24 78 -48 31 15 1283 3705 4 MP PP Xc0 X X-31 -24 78 -48 31 15 1283 3705 4 MP DP Xc11 X X-31 -13 77 -15 31 3 1175 3717 4 MP PP Xc0 X X-31 -13 77 -15 31 3 1175 3717 4 MP DP Xc11 X X-31 7 78 -21 30 -7 1918 3720 4 MP PP Xc0 X X-31 7 78 -21 30 -7 1918 3720 4 MP DP Xc34 X X-31 -45 77 -19 31 40 2599 3585 4 MP PP Xc0 X X-31 -45 77 -19 31 40 2599 3585 4 MP DP Xc16 X X-30 15 77 -21 31 -15 2026 3692 4 MP PP Xc0 X X-30 15 77 -21 31 -15 2026 3692 4 MP DP Xc15 X X-31 -5 78 -21 31 5 1809 3736 4 MP PP Xc0 X X-31 -5 78 -21 31 5 1809 3736 4 MP DP Xc20 X X-31 -14 78 -21 30 14 2460 3564 4 MP PP Xc0 X X-31 -14 78 -21 30 14 2460 3564 4 MP DP Xc16 X X-31 -30 78 -45 31 32 1422 3701 4 MP PP Xc0 X X-31 -30 78 -45 31 32 1422 3701 4 MP DP Xc11 X X-31 -26 78 -35 30 31 1562 3721 4 MP PP Xc0 X X-31 -26 78 -35 30 31 1562 3721 4 MP DP Xc13 X X-31 -19 78 -21 31 19 2830 3785 4 MP PP Xc0 X X-31 -19 78 -21 31 19 2830 3785 4 MP DP Xc17 X X-31 -51 78 -14 30 46 2630 3625 4 MP PP Xc0 X X-31 -51 78 -14 30 46 2630 3625 4 MP DP Xc19 X X-31 18 78 -21 31 -18 2134 3656 4 MP PP Xc0 X X-31 18 78 -21 31 -18 2134 3656 4 MP DP Xc34 X X-31 1 78 -21 31 -1 2351 3586 4 MP PP Xc0 X X-31 1 78 -21 31 -1 2351 3586 4 MP DP Xc17 X X-31 12 77 -19 31 -12 2243 3617 4 MP PP Xc0 X X-31 12 77 -19 31 -12 2243 3617 4 MP DP Xc19 X X-31 -51 78 -12 31 49 2660 3671 4 MP PP Xc0 X X-31 -51 78 -12 31 49 2660 3671 4 MP DP Xc11 X X-30 -29 77 -36 31 17 1314 3720 4 MP PP Xc0 X X-30 -29 77 -36 31 17 1314 3720 4 MP DP Xc11 X X-31 -17 78 -17 30 14 1701 3739 4 MP PP Xc0 X X-31 -17 78 -17 30 14 1701 3739 4 MP DP Xc16 X X-31 -44 78 -14 31 46 2691 3720 4 MP PP Xc0 X X-31 -44 78 -14 31 46 2691 3720 4 MP DP Xc11 X X-31 -33 78 -40 31 28 1453 3733 4 MP PP Xc0 X X-31 -33 78 -40 31 28 1453 3733 4 MP DP Xc16 X X-31 -15 78 -4 30 4 1206 3720 4 MP PP Xc0 X X-31 -15 78 -4 30 4 1206 3720 4 MP DP Xc20 X X-31 -28 78 -22 31 29 2490 3578 4 MP PP Xc0 X X-31 -28 78 -22 31 29 2490 3578 4 MP DP Xc15 X X-31 -22 78 -33 31 20 1592 3752 4 MP PP Xc0 X X-31 -22 78 -33 31 20 1592 3752 4 MP DP Xc15 X X-30 -33 77 -23 31 42 2722 3766 4 MP PP Xc0 X X-30 -33 77 -23 31 42 2722 3766 4 MP DP Xc11 X X-31 -32 78 -19 30 15 1345 3737 4 MP PP Xc0 X X-31 -32 78 -19 30 15 1345 3737 4 MP DP Xc15 X X-30 -31 77 -28 31 19 1484 3761 4 MP PP Xc0 X X-30 -31 77 -28 31 19 1484 3761 4 MP DP Xc11 X X-30 7 77 -21 31 -7 1840 3741 4 MP PP Xc0 X X-30 7 77 -21 31 -7 1840 3741 4 MP DP Xc34 X X-31 -40 78 -21 31 39 2521 3607 4 MP PP Xc0 X X-31 -40 78 -21 31 39 2521 3607 4 MP DP Xc16 X X-31 15 78 -20 31 -16 1948 3713 4 MP PP Xc0 X X-31 15 78 -20 31 -16 1948 3713 4 MP DP Xc20 X X-30 -14 77 -21 31 14 2382 3585 4 MP PP Xc0 X X-30 -14 77 -21 31 14 2382 3585 4 MP DP Xc13 X X-31 -19 78 -39 30 35 2753 3808 4 MP PP Xc0 X X-31 -19 78 -39 30 35 2753 3808 4 MP DP Xc11 X X-31 -5 78 -16 31 4 1731 3753 4 MP PP Xc0 X X-31 -5 78 -16 31 4 1731 3753 4 MP DP Xc19 X X-31 18 77 -21 31 -18 2057 3677 4 MP PP Xc0 X X-31 18 77 -21 31 -18 2057 3677 4 MP DP Xc17 X X-30 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X-31 -39 78 -22 30 40 2444 3628 4 MP PP Xc0 X X-31 -39 78 -22 30 40 2444 3628 4 MP DP Xc11 X X-31 7 78 -17 31 -6 1762 3757 4 MP PP Xc0 X X-31 7 78 -17 31 -6 1762 3757 4 MP DP Xc13 X X-30 -35 77 -21 31 35 2675 3829 4 MP PP Xc0 X X-30 -35 77 -21 31 35 2675 3829 4 MP DP Xc16 X X-31 16 78 -21 30 -16 1871 3734 4 MP PP Xc0 X X-31 16 78 -21 30 -16 1871 3734 4 MP DP Xc11 X X-31 -19 78 8 31 7 1406 3765 4 MP PP Xc0 X X-31 -19 78 8 31 7 1406 3765 4 MP DP Xc20 X X-31 -14 78 -22 31 16 2304 3605 4 MP PP Xc0 X X-31 -14 78 -22 31 16 2304 3605 4 MP DP Xc14 X X-30 -15 77 20 31 4 1267 3728 4 MP PP Xc0 X X-30 -15 77 20 31 4 1267 3728 4 MP DP Xc15 X X-31 -4 77 -17 31 -6 1654 3780 4 MP PP Xc0 X X-31 -4 77 -17 31 -6 1654 3780 4 MP DP Xc19 X X-31 18 78 -21 31 -17 1979 3697 4 MP PP Xc0 X X-31 18 78 -21 31 -17 1979 3697 4 MP DP Xc17 X X-31 -47 78 -21 31 46 2474 3668 4 MP PP Xc0 X X-31 -47 78 -21 31 46 2474 3668 4 MP DP Xc34 X X-30 0 77 -22 31 1 2196 3626 4 MP PP Xc0 X X-30 0 77 -22 31 1 2196 3626 4 MP DP Xc17 X X-31 12 78 -22 30 -11 2088 3659 4 MP PP Xc0 X X-31 12 78 -22 30 -11 2088 3659 4 MP DP Xc15 X X-31 -8 78 -4 31 -4 1545 3788 4 MP PP Xc0 X X-31 -8 78 -4 31 -4 1545 3788 4 MP DP Xc19 X X-30 -48 77 -21 31 48 2505 3714 4 MP PP Xc0 X X-30 -48 77 -21 31 48 2505 3714 4 MP DP Xc16 X X-31 -47 77 -21 31 47 2536 3762 4 MP PP Xc0 X X-31 -47 77 -21 31 47 2536 3762 4 MP DP Xc20 X X-31 -29 78 -23 31 30 2335 3621 4 MP PP Xc0 X X-31 -29 78 -23 31 30 2335 3621 4 MP DP Xc15 X X-31 -41 78 -22 30 42 2567 3809 4 MP PP Xc0 X X-31 -41 78 -22 30 42 2567 3809 4 MP DP Xc16 X X-30 -8 77 15 31 1 1437 3772 4 MP PP Xc0 X X-30 -8 77 15 31 1 1437 3772 4 MP DP Xc19 X X-31 -13 77 26 31 7 1298 3732 4 MP PP Xc0 X X-31 -13 77 26 31 7 1298 3732 4 MP DP Xc34 X X-30 -40 77 -23 31 40 2366 3651 4 MP PP Xc0 X X-30 -40 77 -23 31 40 2366 3651 4 MP DP Xc13 X X-31 -35 78 -22 31 35 2597 3851 4 MP PP Xc0 X X-31 -35 78 -22 31 35 2597 3851 4 MP DP Xc14 X X-30 16 77 -20 31 -13 1793 3751 4 MP PP Xc0 X X-30 16 77 -20 31 -13 1793 3751 4 MP DP Xc20 X X-31 -16 78 -21 30 15 2227 3627 4 MP PP Xc0 X X-31 -16 78 -21 30 15 2227 3627 4 MP DP Xc16 X X-31 6 78 -10 30 -13 1685 3774 4 MP PP Xc0 X X-31 6 78 -10 30 -13 1685 3774 4 MP DP Xc17 X X-31 -46 78 -24 30 47 2397 3691 4 MP PP Xc0 X X-31 -46 78 -24 30 47 2397 3691 4 MP DP Xc19 X X-31 17 78 -21 31 -17 1901 3718 4 MP PP Xc0 X X-31 17 78 -21 31 -17 1901 3718 4 MP DP Xc11 X X-31 6 78 2 31 -12 1576 3784 4 MP PP Xc0 X X-31 6 78 2 31 -12 1576 3784 4 MP DP Xc34 X X-31 -1 78 -21 31 0 2118 3648 4 MP PP Xc0 X X-31 -1 78 -21 31 0 2118 3648 4 MP DP Xc17 X X-30 11 77 -21 31 -11 2010 3680 4 MP PP Xc0 X X-30 11 77 -21 31 -11 2010 3680 4 MP DP Xc19 X X-31 -48 78 -23 31 47 2427 3738 4 MP PP Xc0 X X-31 -48 78 -23 31 47 2427 3738 4 MP DP Xc16 X X-31 -47 78 -21 31 45 2458 3785 4 MP PP Xc0 X X-31 -47 78 -21 31 45 2458 3785 4 MP DP Xc19 X X-31 -7 78 25 30 8 1329 3739 4 MP PP Xc0 X X-31 -7 78 25 30 8 1329 3739 4 MP DP Xc20 X X-31 -30 78 -21 31 30 2257 3642 4 MP PP Xc0 X X-31 -30 78 -21 31 30 2257 3642 4 MP DP Xc14 X X-31 4 77 14 31 -3 1468 3773 4 MP PP Xc0 X X-31 4 77 14 31 -3 1468 3773 4 MP DP Xc15 X X-30 -42 77 -19 31 40 2489 3830 4 MP PP Xc0 X X-30 -42 77 -19 31 40 2489 3830 4 MP DP Xc34 X X-31 -40 78 -21 31 40 2288 3672 4 MP PP Xc0 X X-31 -40 78 -21 31 40 2288 3672 4 MP DP Xc13 X X-31 -35 78 -17 30 33 2520 3870 4 MP PP Xc0 X X-31 -35 78 -17 30 33 2520 3870 4 MP DP Xc20 X X-30 -15 77 -21 31 15 2149 3648 4 MP PP Xc0 X X-30 -15 77 -21 31 15 2149 3648 4 MP DP Xc17 X X-30 -47 77 -21 31 47 2319 3712 4 MP PP Xc0 X X-30 -47 77 -21 31 47 2319 3712 4 MP DP Xc14 X X-31 13 78 -7 31 -16 1715 3761 4 MP PP Xc0 X X-31 13 78 -7 31 -16 1715 3761 4 MP DP Xc19 X X-31 17 77 -24 31 -13 1824 3738 4 MP PP Xc0 X X-31 17 77 -24 31 -13 1824 3738 4 MP DP Xc34 X X-31 0 78 -22 30 1 2041 3669 4 MP PP Xc0 X X-31 0 78 -22 30 1 2041 3669 4 MP DP Xc17 X X-31 11 78 -21 31 -11 1932 3701 4 MP PP Xc0 X X-31 11 78 -21 31 -11 1932 3701 4 MP DP Xc19 X X-31 -47 78 -22 30 48 2350 3759 4 MP PP Xc0 X X-31 -47 78 -22 30 48 2350 3759 4 MP DP Xc14 X X-30 13 77 2 31 -13 1607 3772 4 MP PP Xc0 X X-30 13 77 2 31 -13 1607 3772 4 MP DP Xc4 X X-31 -1 78 15 31 11 1359 3747 4 MP PP Xc0 X X-31 -1 78 15 31 11 1359 3747 4 MP DP Xc16 X X-31 -45 78 -22 31 45 2380 3807 4 MP PP Xc0 X X-31 -45 78 -22 31 45 2380 3807 4 MP DP Xc20 X X-31 -30 77 -21 31 30 2180 3663 4 MP PP Xc0 X X-31 -30 77 -21 31 30 2180 3663 4 MP DP Xc19 X X-31 12 78 7 30 -5 1499 3770 4 MP PP Xc0 X X-31 12 78 7 30 -5 1499 3770 4 MP DP Xc15 X X-31 -40 78 -22 31 40 2411 3852 4 MP PP Xc0 X X-31 -40 78 -22 31 40 2411 3852 4 MP DP Xc34 X X-31 -40 78 -22 30 41 2211 3693 4 MP PP Xc0 X X-31 -40 78 -22 30 41 2211 3693 4 MP DP Xc13 X X-30 -33 77 -22 31 33 2442 3892 4 MP PP Xc0 X X-30 -33 77 -22 31 33 2442 3892 4 MP DP Xc20 X X-31 -15 78 -24 31 17 2071 3670 4 MP PP Xc0 X X-31 -15 78 -24 31 17 2071 3670 4 MP DP Xc17 X X-31 -47 78 -21 31 46 2241 3734 4 MP PP Xc0 X X-31 -47 78 -21 31 46 2241 3734 4 MP DP Xc4 X X-31 3 78 -1 31 13 1390 3758 4 MP PP Xc0 X X-31 3 78 -1 31 13 1390 3758 4 MP DP Xc17 X X-31 11 78 -29 30 -6 1855 3725 4 MP PP Xc0 X X-31 11 78 -29 30 -6 1855 3725 4 MP DP Xc4 X X-31 13 78 -10 31 -10 1746 3745 4 MP PP Xc0 X X-31 13 78 -10 31 -10 1746 3745 4 MP DP Xc34 X X-30 -1 77 -22 31 2 1963 3690 4 MP PP Xc0 X X-30 -1 77 -22 31 2 1963 3690 4 MP DP Xc19 X X-30 -48 77 -21 31 48 2272 3780 4 MP PP Xc0 X X-30 -48 77 -21 31 48 2272 3780 4 MP DP Xc4 X X-31 16 78 -6 30 -8 1638 3759 4 MP PP Xc0 X X-31 16 78 -6 30 -8 1638 3759 4 MP DP Xc16 X X-31 -45 77 -21 31 45 2303 3828 4 MP PP Xc0 X X-31 -45 77 -21 31 45 2303 3828 4 MP DP Xc20 X X-31 -30 78 -23 31 29 2102 3687 4 MP PP Xc0 X X-31 -30 78 -23 31 29 2102 3687 4 MP DP Xc4 X X-31 13 78 -4 31 -2 1529 3765 4 MP PP Xc0 X X-31 13 78 -4 31 -2 1529 3765 4 MP DP Xc15 X X-31 -40 78 -21 30 40 2334 3873 4 MP PP Xc0 X X-31 -40 78 -21 30 40 2334 3873 4 MP DP Xc34 X X-30 -41 77 -22 31 40 2133 3716 4 MP PP Xc0 X X-30 -41 77 -22 31 40 2133 3716 4 MP DP Xc4 X X-30 5 77 -23 31 17 1421 3771 4 MP PP Xc0 X X-30 5 77 -23 31 17 1421 3771 4 MP DP Xc20 X X-31 -17 78 -21 30 16 1994 3692 4 MP PP Xc0 X X-31 -17 78 -21 30 16 1994 3692 4 MP DP Xc13 X X-31 -33 78 -21 31 33 2364 3913 4 MP PP Xc0 X X-31 -33 78 -21 31 33 2364 3913 4 MP DP Xc17 X X-31 -46 78 -21 30 45 2164 3756 4 MP PP Xc0 X X-31 -46 78 -21 30 45 2164 3756 4 MP DP Xc34 X X-31 -2 78 -31 31 4 1885 3719 4 MP PP Xc0 X X-31 -2 78 -31 31 4 1885 3719 4 MP DP Xc18 X X-30 6 77 -16 31 0 1777 3735 4 MP PP Xc0 X X-30 6 77 -16 31 0 1777 3735 4 MP DP Xc19 X X-31 -48 78 -19 31 46 2194 3801 4 MP PP Xc0 X X-31 -48 78 -19 31 46 2194 3801 4 MP DP Xc17 X X-31 10 78 -16 31 0 1668 3751 4 MP PP Xc0 X X-31 10 78 -16 31 0 1668 3751 4 MP DP Xc16 X X-31 -45 78 -18 31 44 2225 3847 4 MP PP Xc0 X X-31 -45 78 -18 31 44 2225 3847 4 MP DP Xc20 X X-31 -29 78 -22 31 30 2024 3708 4 MP PP Xc0 X X-31 -29 78 -22 31 30 2024 3708 4 MP DP Xc17 X X-30 8 77 -16 31 4 1560 3763 4 MP PP Xc0 X X-30 8 77 -16 31 4 1560 3763 4 MP DP Xc15 X X-30 -40 77 -17 31 39 2256 3891 4 MP PP Xc0 X X-30 -40 77 -17 31 39 2256 3891 4 MP DP Xc4 X X-31 2 78 -45 30 20 1452 3788 4 MP PP Xc0 X X-31 2 78 -45 30 20 1452 3788 4 MP DP Xc34 X X-31 -40 78 -21 31 39 2055 3738 4 MP PP Xc0 X X-31 -40 78 -21 31 39 2055 3738 4 MP DP Xc34 X X-30 -16 77 -30 31 15 1916 3723 4 MP PP Xc0 X X-30 -16 77 -30 31 15 1916 3723 4 MP DP Xc13 X X-31 -33 78 -16 30 32 2287 3930 4 MP PP Xc0 X X-31 -33 78 -16 30 32 2287 3930 4 MP DP Xc34 X X-31 -4 78 -24 30 12 1808 3735 4 MP PP Xc0 X X-31 -4 78 -24 30 12 1808 3735 4 MP DP Xc17 X X-30 -45 77 -21 31 45 2086 3777 4 MP PP Xc0 X X-30 -45 77 -21 31 45 2086 3777 4 MP DP Xc19 X X-31 -46 78 -21 30 46 2117 3822 4 MP PP Xc0 X X-31 -46 78 -21 30 46 2117 3822 4 MP DP Xc18 X X-31 0 78 -26 31 10 1699 3751 4 MP PP Xc0 X X-31 0 78 -26 31 10 1699 3751 4 MP DP Xc4 X X-31 -4 78 -63 31 22 1482 3808 4 MP PP Xc0 X X-31 -4 78 -63 31 22 1482 3808 4 MP DP Xc34 X X-31 -30 77 -27 31 27 1947 3738 4 MP PP Xc0 X X-31 -30 77 -27 31 27 1947 3738 4 MP DP Xc16 X X-31 -44 78 -21 31 44 2147 3868 4 MP PP Xc0 X X-31 -44 78 -21 31 44 2147 3868 4 MP DP Xc18 X X-31 0 77 -28 31 12 1591 3767 4 MP PP Xc0 X X-31 0 77 -28 31 12 1591 3767 4 MP DP Xc15 X X-31 -39 78 -21 31 39 2178 3912 4 MP PP Xc0 X X-31 -39 78 -21 31 39 2178 3912 4 MP DP Xc34 X X-31 -15 78 -31 31 22 1838 3747 4 MP PP Xc0 X X-31 -15 78 -31 31 22 1838 3747 4 MP DP Xc18 X X-31 -39 78 -22 30 34 1978 3765 4 MP PP Xc0 X X-31 -39 78 -22 30 34 1978 3765 4 MP DP Xc34 X X-30 -12 77 -35 31 21 1730 3761 4 MP PP Xc0 X X-30 -12 77 -35 31 21 1730 3761 4 MP DP Xc13 X X-30 -32 77 -22 31 33 2209 3951 4 MP PP Xc0 X X-30 -32 77 -22 31 33 2209 3951 4 MP DP Xc19 X X-31 -12 78 -76 31 25 1513 3830 4 MP PP Xc0 X X-31 -12 78 -76 31 25 1513 3830 4 MP DP Xc17 X X-31 -45 78 -16 31 39 2008 3799 4 MP PP Xc0 X X-31 -45 78 -16 31 39 2008 3799 4 MP DP Xc18 X X-31 -10 78 -38 30 20 1622 3779 4 MP PP Xc0 X X-31 -10 78 -38 30 20 1622 3779 4 MP DP Xc34 X X-31 -27 78 -34 31 30 1869 3769 4 MP PP Xc0 X X-31 -27 78 -34 31 30 1869 3769 4 MP DP Xc19 X X-30 -46 77 -9 31 39 2039 3838 4 MP PP Xc0 X X-30 -46 77 -9 31 39 2039 3838 4 MP DP Xc14 X X-31 -44 77 -4 31 39 2070 3877 4 MP PP Xc0 X X-31 -44 77 -4 31 39 2070 3877 4 MP DP Xc18 X X-31 -22 78 -41 30 28 1761 3782 4 MP PP Xc0 X X-31 -22 78 -41 30 28 1761 3782 4 MP DP Xc14 X X-30 -20 77 -83 31 27 1544 3855 4 MP PP Xc0 X X-30 -20 77 -83 31 27 1544 3855 4 MP DP Xc18 X X-30 -34 77 -34 31 34 1900 3799 4 MP PP Xc0 X X-30 -34 77 -34 31 34 1900 3799 4 MP DP Xc18 X X-31 -21 78 -43 31 26 1652 3799 4 MP PP Xc0 X X-31 -21 78 -43 31 26 1652 3799 4 MP DP Xc11 X X-31 -39 78 0 30 35 2101 3916 4 MP PP Xc0 X X-31 -39 78 0 30 35 2101 3916 4 MP DP Xc17 X X-31 -30 78 -44 31 33 1791 3810 4 MP PP Xc0 X X-31 -30 78 -44 31 33 1791 3810 4 MP DP Xc4 X X-31 -39 78 -31 30 36 1931 3833 4 MP PP Xc0 X X-31 -39 78 -31 30 36 1931 3833 4 MP DP Xc16 X X-31 -26 78 -84 30 27 1575 3882 4 MP PP Xc0 X X-31 -26 78 -84 30 27 1575 3882 4 MP DP Xc15 X X-31 -33 78 2 31 31 2131 3951 4 MP PP Xc0 X X-31 -33 78 2 31 31 2131 3951 4 MP DP Xc17 X X-30 -28 77 -45 31 30 1683 3825 4 MP PP Xc0 X X-30 -28 77 -45 31 30 1683 3825 4 MP DP Xc19 X X-31 -39 78 -26 31 34 1961 3869 4 MP PP Xc0 X X-31 -39 78 -26 31 34 1961 3869 4 MP DP Xc4 X X-31 -34 78 -44 31 34 1822 3843 4 MP PP Xc0 X X-31 -34 78 -44 31 34 1822 3843 4 MP DP Xc16 X X-31 -30 78 -80 31 26 1605 3909 4 MP PP Xc0 X X-31 -30 78 -80 31 26 1605 3909 4 MP DP Xc16 X X-31 -39 78 -20 31 33 1992 3903 4 MP PP Xc0 X X-31 -39 78 -20 31 33 1992 3903 4 MP DP Xc4 X X-31 -33 77 -44 31 32 1714 3855 4 MP PP Xc0 X X-31 -33 77 -44 31 32 1714 3855 4 MP DP Xc19 X X-30 -36 77 -42 31 34 1853 3877 4 MP PP Xc0 X X-30 -36 77 -42 31 34 1853 3877 4 MP DP Xc11 X X-30 -35 77 -15 31 30 2023 3936 4 MP PP Xc0 X X-30 -35 77 -15 31 30 2023 3936 4 MP DP Xc19 X X-31 -34 78 -42 30 32 1745 3887 4 MP PP Xc0 X X-31 -34 78 -42 30 32 1745 3887 4 MP DP Xc11 X X-31 -32 78 -73 31 25 1636 3935 4 MP PP Xc0 X X-31 -32 78 -73 31 25 1636 3935 4 MP DP Xc16 X X-31 -34 78 -39 30 31 1884 3911 4 MP PP Xc0 X X-31 -34 78 -39 30 31 1884 3911 4 MP DP Xc15 X X-31 -31 78 -10 30 26 2054 3966 4 MP PP Xc0 X X-31 -31 78 -10 30 26 2054 3966 4 MP DP Xc16 X X-31 -34 78 -38 31 30 1775 3919 4 MP PP Xc0 X X-31 -34 78 -38 31 30 1775 3919 4 MP DP Xc15 X X-30 -32 77 -65 31 24 1667 3960 4 MP PP Xc0 X X-30 -32 77 -65 31 24 1667 3960 4 MP DP Xc11 X X-31 -33 78 -35 31 29 1914 3942 4 MP PP Xc0 X X-31 -33 78 -35 31 29 1914 3942 4 MP DP Xc11 X X-30 -31 77 -35 31 28 1806 3949 4 MP PP Xc0 X X-30 -31 77 -35 31 28 1806 3949 4 MP DP Xc15 X X-31 -30 78 -31 31 26 1945 3971 4 MP PP Xc0 X X-31 -30 78 -31 31 26 1945 3971 4 MP DP Xc12 X X-31 -30 78 -57 30 22 1698 3984 4 MP PP Xc0 X X-31 -30 78 -57 30 22 1698 3984 4 MP DP Xc15 X X-31 -29 77 -32 31 26 1837 3977 4 MP PP Xc0 X X-31 -29 77 -32 31 26 1837 3977 4 MP DP Xc15 X X-30 -26 77 -29 31 24 1976 3997 4 MP PP Xc0 X X-30 -26 77 -29 31 24 1976 3997 4 MP DP Xc12 X X-31 -28 78 -50 31 21 1728 4006 4 MP PP Xc0 X X-31 -28 78 -50 31 21 1728 4006 4 MP DP Xc15 X X-31 -26 78 -30 30 24 1868 4003 4 MP PP Xc0 X X-31 -26 78 -30 30 24 1868 4003 4 MP DP Xc12 X X-31 -26 78 -43 31 19 1759 4027 4 MP PP Xc0 X X-31 -26 78 -43 31 19 1759 4027 4 MP DP Xc12 X X-31 -24 78 -27 31 21 1898 4027 4 MP PP Xc0 X X-31 -24 78 -27 31 21 1898 4027 4 MP DP Xc13 X X-30 -24 77 -38 31 19 1790 4046 4 MP PP Xc0 X X-30 -24 77 -38 31 19 1790 4046 4 MP DP Xc13 X X-31 -21 78 -34 30 17 1821 4065 4 MP PP Xc0 X X-31 -21 78 -34 30 17 1821 4065 4 MP DP Xgr XDO XSO X4979 4614 mt 6221 4274 L X4026 4171 mt 4979 4614 L X4026 4171 mt 4026 3204 L X5290 4529 mt 5319 4543 L X5343 4710 mt (5) s X5678 4423 mt 5707 4436 L X5731 4604 mt (10) s X6066 4317 mt 6095 4330 L X6119 4498 mt (15) s X4303 4300 mt 4272 4308 L X4060 4471 mt (10) s X4610 4443 mt 4579 4451 L X4367 4614 mt (20) s X4918 4585 mt 4886 4594 L X4674 4757 mt (30) s X4026 4027 mt 3997 4014 L X3730 4064 mt (-30) s X4026 3754 mt 3997 3741 L X3730 3791 mt (-20) s X4026 3481 mt 3997 3468 L X3730 3518 mt (-10) s X4026 3209 mt 3997 3195 L X3879 3246 mt (0) s X4063 2731 mt (LSQR filter factors, log scale) s Xgs 4026 2864 2196 1751 MR c np Xc2 X X-31 -14 78 -21 31 14 5190 2890 4 MP PP Xc0 X X-31 -14 78 -21 31 14 5190 2890 4 MP DP Xc2 X X-30 -14 77 -21 31 14 5221 2904 4 MP PP Xc0 X X-30 -14 77 -21 31 14 5221 2904 4 MP DP Xc2 X X-31 -14 78 -21 30 14 5113 2911 4 MP PP Xc0 X X-31 -14 78 -21 30 14 5113 2911 4 MP DP Xc2 X X-31 -14 77 -22 31 15 5252 2918 4 MP PP Xc0 X X-31 -14 77 -22 31 15 5252 2918 4 MP DP Xc2 X X-31 -14 78 -22 31 15 5143 2925 4 MP PP Xc0 X X-31 -14 78 -22 31 15 5143 2925 4 MP DP Xc2 X X-30 -14 77 -22 31 15 5035 2932 4 MP PP Xc0 X X-30 -14 77 -22 31 15 5035 2932 4 MP DP Xc2 X X-31 -15 78 -21 30 14 5283 2933 4 MP PP Xc0 X X-31 -15 78 -21 30 14 5283 2933 4 MP DP Xc2 X X-31 -15 78 -21 31 14 5174 2940 4 MP PP Xc0 X X-31 -15 78 -21 31 14 5174 2940 4 MP DP Xc2 X X-31 -15 77 -21 31 14 5066 2947 4 MP PP Xc0 X X-31 -15 77 -21 31 14 5066 2947 4 MP DP Xc2 X X-31 -14 78 -21 31 14 5313 2947 4 MP PP Xc0 X X-31 -14 78 -21 31 14 5313 2947 4 MP DP Xc2 X X-31 -15 78 -21 31 14 4957 2954 4 MP PP Xc0 X X-31 -15 78 -21 31 14 4957 2954 4 MP DP Xc2 X X-30 -14 77 -21 31 14 5205 2954 4 MP PP Xc0 X X-30 -14 77 -21 31 14 5205 2954 4 MP DP Xc2 X X-31 -14 78 -21 30 14 5097 2961 4 MP PP Xc0 X X-31 -14 78 -21 30 14 5097 2961 4 MP DP Xc2 X X-30 -14 77 -22 31 15 5344 2961 4 MP PP Xc0 X X-30 -14 77 -22 31 15 5344 2961 4 MP DP Xc24 X X-31 -31 78 -64 31 31 5805 3828 4 MP PP Xc0 X X-31 -31 78 -64 31 31 5805 3828 4 MP DP Xc2 X X-31 -14 78 -21 31 14 4988 2968 4 MP PP Xc0 X X-31 -14 78 -21 31 14 4988 2968 4 MP DP Xc2 X X-31 -14 78 -22 30 15 5236 2968 4 MP PP Xc0 X X-31 -14 78 -22 30 15 5236 2968 4 MP DP Xc26 X X-31 -127 78 -64 31 127 5774 3701 4 MP PP Xc0 X X-31 -127 78 -64 31 127 5774 3701 4 MP DP Xc28 X X-31 -31 78 -46 30 31 5728 3874 4 MP PP Xc0 X X-31 -31 78 -46 30 31 5728 3874 4 MP DP Xc25 X X-30 -18 77 -65 31 19 5836 3859 4 MP PP Xc0 X X-30 -18 77 -65 31 19 5836 3859 4 MP DP Xc21 X X-30 -44 77 -64 31 43 5713 3614 4 MP PP Xc0 X X-30 -44 77 -64 31 43 5713 3614 4 MP DP Xc2 X X-31 -14 77 -21 31 14 4880 2975 4 MP PP Xc0 X X-31 -14 77 -21 31 14 4880 2975 4 MP DP Xc2 X X-31 -14 78 -22 31 15 5127 2975 4 MP PP Xc0 X X-31 -14 78 -22 31 15 5127 2975 4 MP DP Xc2 X X-31 -15 77 -21 31 14 5375 2976 4 MP PP Xc0 X X-31 -15 77 -21 31 14 5375 2976 4 MP DP Xc23 X X-31 -44 78 -64 30 44 5744 3657 4 MP PP Xc0 X X-31 -44 78 -64 30 44 5744 3657 4 MP DP Xc8 X X-31 -127 77 -46 31 127 5697 3747 4 MP PP Xc0 X X-31 -127 77 -46 31 127 5697 3747 4 MP DP Xc15 X X-31 -102 78 -65 31 102 5682 3512 4 MP PP Xc0 X X-31 -102 78 -65 31 102 5682 3512 4 MP DP Xc2 X X-30 -14 77 -21 31 14 5019 2982 4 MP PP Xc0 X X-30 -14 77 -21 31 14 5019 2982 4 MP DP Xc2 X X-31 -15 78 -21 31 14 5266 2983 4 MP PP Xc0 X X-31 -15 78 -21 31 14 5266 2983 4 MP DP Xc40 X X-31 -19 78 -45 31 18 5758 3905 4 MP PP Xc0 X X-31 -19 78 -45 31 18 5758 3905 4 MP DP Xc53 X X-31 -43 78 -46 31 44 5635 3659 4 MP PP Xc0 X X-31 -43 78 -46 31 44 5635 3659 4 MP DP Xc25 X X-31 -21 78 -65 30 21 5867 3878 4 MP PP Xc0 X X-31 -21 78 -65 30 21 5867 3878 4 MP DP Xc19 X X-31 -65 78 -65 31 66 5651 3446 4 MP PP Xc0 X X-31 -65 78 -65 31 66 5651 3446 4 MP DP Xc2 X X-31 -14 78 -21 30 14 4911 2989 4 MP PP Xc0 X X-31 -14 78 -21 30 14 4911 2989 4 MP DP Xc58 X X-30 -44 77 -46 31 44 5666 3703 4 MP PP Xc0 X X-30 -44 77 -46 31 44 5666 3703 4 MP DP Xc2 X X-30 -15 77 -21 31 14 5158 2990 4 MP PP Xc0 X X-30 -15 77 -21 31 14 5158 2990 4 MP DP Xc28 X X-30 -31 77 -21 31 31 5650 3895 4 MP PP Xc0 X X-30 -31 77 -21 31 31 5650 3895 4 MP DP Xc2 X X-31 -14 78 -21 30 14 5406 2990 4 MP PP Xc0 X X-31 -14 78 -21 30 14 5406 2990 4 MP DP Xc12 X X-31 -102 78 -45 30 102 5605 3557 4 MP PP Xc0 X X-31 -102 78 -45 30 102 5605 3557 4 MP DP Xc34 X X-31 -79 78 -64 30 78 5621 3368 4 MP PP Xc0 X X-31 -79 78 -64 30 78 5621 3368 4 MP DP Xc40 X X-30 -21 77 -45 31 21 5789 3923 4 MP PP Xc0 X X-30 -21 77 -45 31 21 5789 3923 4 MP DP Xc2 X X-31 -14 78 -21 31 14 4802 2996 4 MP PP Xc0 X X-31 -14 78 -21 31 14 4802 2996 4