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Fn(=)g(1)p Fk(.)g(Find)g Fj(\032)2735 4705 y Fh(1)2774 4691 y Fj(;)15 b(\032)2861 4705 y Fh(2)2901 4691 y Fj(;)g(\032)2988 4705 y Fh(3)3028 4691 y Fk(,)42 b(such)h(that)h(the)e(ve)-5 b(ctors)209 4804 y Fj(~)-42 b(r)253 4819 y Fi(k)323 4804 y Fn(=)22 b Fj(~)-39 b(a)470 4819 y Fi(k)534 4804 y Fn(+)21 b Fj(\032)673 4819 y Fi(k)705 4780 y Fj(~)715 4804 y(b)754 4819 y Fi(k)831 4804 y Fk(ar)-5 b(e)35 b(c)-5 b(oplanar)36 b(and)f(de\014ne)f(a)h(c)-5 b(onic)34 b(se)-5 b(ction)35 b Fl(C)k Fk(such)34 b(that,)h(denoting)f(by)d Fj(~)-42 b(r)s Fn(\()p Fj(t)p Fn(\))34 b Fk(the)h(p)-5 b(osi-)212 4917 y(tion)36 b(ve)-5 b(ctor)35 b(evolving)g(on)h Fl(C)k Fk(ac)-5 b(c)g(or)g(ding)37 b(to)f(Kepler)f(laws)i(fr)-5 b(om)36 b(the)f(initial)h(datum)d Fj(~)-42 b(r)s Fn(\()p Fj(t)3292 4931 y Fh(2)3331 4917 y Fn(\))30 b(=)d Fj(~)-42 b(r)3538 4931 y Fh(2)3577 4917 y Fk(,)35 b(one)g(has)209 5030 y Fj(~)-42 b(r)s Fn(\()p Fj(t)324 5044 y Fh(1)363 5030 y Fn(\))26 b(=)c Fj(~)-42 b(r)561 5044 y Fh(1)600 5030 y Fj(;)12 b(~)-42 b(r)s Fn(\()p Fj(t)752 5044 y Fh(3)792 5030 y Fn(\))25 b(=)d Fj(~)-42 b(r)989 5044 y Fh(3)1061 5030 y Fn(.)212 5256 y(Here,)24 b Fj(~)-39 b(a)499 5271 y Fi(k)570 5256 y Fn(represen)m(t)29 b(the)g(p)s(osition)e (v)m(ectors)j(of)f(the)g(Earth)g(with)e(resp)s(ect)i(to)g(the)g(Sun)f (\(whic)m(h)g(are)h(kno)m(wn)212 5369 y(from)g(ephemeris\),)901 5345 y Fj(~)911 5369 y(b)950 5384 y Fi(k)1023 5369 y Fn(denote)h(the)g(unit)e(v)m(ectors)j(from)e(the)h(Earth)g(to)g(the)g (celestial)f(b)s(o)s(dy)f(\(kno)m(wn)i(from)212 5482 y(the)g(observ)-5 b(ations\),)26 b Fj(~)-42 b(r)987 5497 y Fi(k)1059 5482 y Fn(represen)m(t)30 b(the)f(p)s(osition)f(v)m(ectors) i(from)f(the)h(Sun)e(to)i(the)f(b)s(o)s(dy)f(\(the)i Fk(helio)-5 b(c)g(entric)2056 5964 y Fn(2)p eop %%Page: 3 3 3 2 bop 212 386 a Fk(plac)-5 b(e)40 b Fn(of)32 b(the)g(b)s(o)s(dy\),)f Fj(\032)1048 401 y Fi(k)1123 386 y Fn(are)h(the)h(unkno)m(wn)d (distances)i(from)f(the)h(Earth)g(and)f Fj(\032)3077 401 y Fi(k)3110 362 y Fj(~)3120 386 y(b)3159 401 y Fi(k)3234 386 y Fn(are)h(the)g(geo)s(cen)m(tric)212 499 y(p)s(osition)27 b(v)m(ectors.)k(Of)d(course)h(one)g(has)g(to)g(tak)m(e)i(in)m(to)e (accoun)m(t)h(also)f(the)g(rotation)g(of)g(the)g(Earth,)g(its)f(rev-) 212 612 y(olution)k(around)h(the)g(Sun,)g(the)g(precession)g(of)h(the)f (equino)m(xes,)h(the)f(n)m(utational)g(e\013ect,)j(the)d(ab)s(erration) 212 725 y(due)i(to)h(the)f(v)m(elo)s(cit)m(y)h(of)g(the)f(observ)m(er,) h(b)s(eside)d(the)j(observ)-5 b(ational)35 b(errors)f(due)h(to)h(the)g (imprecision)c(of)212 838 y(the)26 b(instrumen)m(ts)f(\(the)h(telescop) s(e)g(and)g(the)g(clo)s(c)m(k\))h(as)f(w)m(ell)f(as)h(the)g(exact)h (determination)e(of)h(the)g(p)s(osition)212 951 y(of)31 b(the)f(observ)-5 b(atory:)31 b(the)g(relativ)m(e)f(data)h(are)g(also)g (measured)e(separately)i(in)e(eac)m(h)j(application.)212 1177 y(One)37 b(m)m(ust)g(emphasize)g(that)h(sev)m(eral)g(scien)m (tists)f(studied)f(the)h(problem)f(of)i(the)f(determination)g(of)g(the) 212 1290 y(orbits)h(from)g(observ)-5 b(ations.)39 b(In)f(this)g(pap)s (er)g(w)m(e)h(concen)m(trate)i(on)e(the)g(metho)s(ds)f(dev)m(elop)s(ed) h(b)m(y)f(Gauss)212 1403 y(\(1777{1855\),)30 b(Laplace)25 b(\(1749{1827\))30 b(and)24 b(Mossotti)i(\(1791{1863\))j(\([2)q(],)d ([4],)g([7],)g([8)q(],)f(and)f(in)g(the)h(presen-)212 1516 y(tation)31 b(of)g(Gauss')f(metho)s(d)g(w)m(e)h(follo)m(w)f([1)q (]\).)h(Actually)-8 b(,)30 b(Mossotti)i(dev)m(elop)s(ed)e(t)m(w)m(o)i (di\013eren)m(t)d(tec)m(hniques,)212 1628 y(whic)m(h)38 b(are)h(b)s(oth)f(review)m(ed)h(in)e(the)i(presen)m(t)g(pap)s(er;)f (while)f(one)i(metho)s(d)g(is)f(quite)g(similar)e(to)k(that)f(of)212 1741 y(Laplace,)29 b(the)f(second)h(metho)s(d)e(\(dev)m(elop)s(ed)h (earlier\))g(is)f(based)h(on)g(the)h(kno)m(wledge)f(of)g(four)g(observ) -5 b(ations)212 1854 y(and)40 b(it)g(attempts)h(to)h(\014nd)d(a)i (\014rst)e(appro)m(ximation)h(of)g(the)h(angular)f(momen)m(tum,)g(whic) m(h)g(de\014nes)f(the)212 1967 y(plane)26 b(and)h(the)g(parameter)g(of) g(the)h(unkno)m(wn)d(orbit.)i(Gauss)g(review)m(ed)f(this)g(approac)m(h) h(in)f([3)q(],)h(remarking)212 2080 y(that)37 b(the)g(main)f(no)m(v)m (elt)m(y)-8 b(,)38 b(based)e(on)h(the)g(in)m(tro)s(duction)d(of)j(the)g (extra)g(observ)-5 b(ation,)37 b(relies)e(on)i(the)f(fact)212 2193 y(that)g(one)f(is)f(led)g(to)i(solv)m(e)f(t)m(w)m(o)i(linear)c (equations,)i(instead)f(of)h(one)h(nonlinear)d(equation)h(lik)m(e)h(in) e(Gauss)212 2306 y(and)27 b(Laplace)h(metho)s(ds.)f(Ho)m(w)m(ev)m(er,)j (b)s(eside)c(the)h(fact)i(that)f(the)g(problem)e(b)s(ecomes)h(o)m(v)m (erdetermined,)h(the)212 2419 y(neglected)38 b(terms)g(of)g(the)g (linear)e(appro)m(ximation)g(migh)m(t)i(seriuosly)d(in\015uence)h(the)i (solution)e(whenev)m(er)212 2532 y(the)31 b(observ)-5 b(ational)29 b(errors)h(b)s(ecome)h(relev)-5 b(an)m(t.)212 2705 y(This)33 b(pap)s(er)h(is)g(organized)h(as)g(follo)m(ws.)f(The)g (di\013eren)m(t)h(tec)m(hniques)f(are)h(shortly)f(sk)m(etc)m(hed)i(in)e (section)h(2)212 2818 y(and)g(fully)e(presen)m(ted)i(in)f(the)h(App)s (endix.)e(W)-8 b(e)36 b(prop)s(ose)f(in)f(section)h(3)h(a)f(comparison) g(among)g(the)h(v)-5 b(ari-)212 2930 y(ous)37 b(pro)s(cedures,)e(pro)m (viding)g(an)i(application)e(to)i(the)g(computation)g(of)g(the)g (elemen)m(ts)g(of)g(the)f(asteroid)212 3043 y(\(3\))e(Juno)e(starting)g (from)g(three)h(observ)-5 b(ations.)32 b(F)-8 b(or)34 b(eac)m(h)g(of)e(the)h(3)g(metho)s(ds)f(w)m(e)h(dev)m(elop)s(ed)f (computer)212 3156 y(programs,)38 b(whic)m(h)g(are)h(a)m(v)-5 b(ailable)37 b(up)s(on)g(request)i(to)g(the)g(authors.)f(Finally)-8 b(,)37 b(in)h(section)g(4)h(w)m(e)g(pro)m(vide)212 3269 y(some)29 b(n)m(umerical)e(exp)s(erimen)m(ts)g(to)j(compare)f(Gauss)f (and)g(Laplace)g(metho)s(ds.)g(Moreo)m(v)m(er,)j(w)m(e)e(determine)212 3382 y(the)j(domain)f(of)i(con)m(v)m(ergence)h(of)e(Gauss)g(metho)s(d)g (b)m(y)g(v)-5 b(arying)31 b(the)h(initial)d(conditions)i(\(longitudes)g (and)212 3495 y(latitudes\))h(and)f(b)m(y)h(computing)f(the)i(corresp)s (onding)d(orbital)h(elemen)m(ts)h(giv)m(en)h(b)m(y)f(the)g(semima)5 b(jor)32 b(axis,)212 3608 y(the)f(eccen)m(tricit)m(y)g(and)f(the)h (inclination.)212 3834 y Fo(Ac)m(knolewdgmen)m(ts:)77 b Fn(W)-8 b(e)36 b(are)g(deeply)f(indebted)f(to)i(G.)g(Galla)m(v)m (otti)h(for)e(suggesting)h(this)f(w)m(ork,)h(for)212 3947 y(pro)m(viding)27 b(the)i(soft)m(w)m(are)i(that)f(he)e(dev)m(elop) s(ed)h(for)g(Gauss')g(metho)s(d)f(\(see)i([1)q(]\),)g(partly)e(used)g (as)i(a)f(basis)f(of)212 4060 y(our)h(o)m(wn)f(programs,)h(and)g(for)f (his)g(con)m(tin)m(uous)g(help)g(during)f(its)h(accomplishmen)m(t.)g(W) -8 b(e)30 b(thank)f(A.)g(Boat-)212 4172 y(tini,)d(P)-8 b(.)29 b(Brosc)m(he,)g(A.)f(Manara,)g(P)-8 b(.)29 b(Sicoli)c(for)j (useful)e(discussions.)f(This)h(w)m(ork)i(w)m(as)g(partially)e (\014nancially)212 4285 y(supp)s(orted)j(b)m(y)h(COFIN/MIUR.)212 4572 y Fm(2)135 b(A)44 b(sk)l(etc)l(h)i(of)f(the)g(metho)t(ds)g(for)g (determining)h(the)g(orbits)212 4775 y Fn(In)28 b(this)g(section)i(w)m (e)f(brie\015y)e(sk)m(etc)m(h)k(the)e(metho)s(ds)f(of)h(Gauss,)h (Laplace)f(and)f(Mossotti)i(\(\014rst)f(and)f(second)212 4888 y(metho)s(d\),)k(referring,)f(resp)s(ectiv)m(ely)g(to)i(App)s (endix)c(A,)j(B,)h(C)e(and)h(D)g(for)g(an)g(exhaustiv)m(e)g (description.)e(In)212 5001 y(order)g(to)h(mak)m(e)g(the)g(exp)s (osition)e(clearer,)i(w)m(e)f(divide)f(eac)m(h)i(metho)s(d)f(in)f (di\013eren)m(t)h(steps.)212 5244 y Fg(2.1)112 b(A)37 b(sk)m(etc)m(h)h(of)f(Gauss)i(metho)s(d)212 5416 y Fo(First)34 b(step.)g Fn(W)-8 b(e)32 b(imp)s(ose)c(that)j(the)f(observ)m(ed)g(b)s (o)s(dy)e Fj(C)36 b Fn(mo)m(v)m(es)c(on)d(a)i(plane)e(passing)f (through)i(the)g(Sun.)2056 5964 y(3)p eop %%Page: 4 4 4 3 bop 212 386 a Fn(Let)35 b Fj(~)-39 b(a)433 401 y Fi(k)515 386 y Fn(denote)41 b(the)f(p)s(ositions)e(of)i(the)g(Earth)g (with)e(resp)s(ect)i(to)h(the)f(Sun)e(at)j(times)f Fj(t)3346 401 y Fi(k)3428 386 y Fn(\()p Fj(k)45 b Fn(=)c(1)p Fj(;)15 b Fn(2)p Fj(;)g Fn(3\);)212 499 y(similarly)-8 b(,)37 b(let)g Fj(~)-42 b(r)793 514 y Fi(k)876 499 y Fn(denote)41 b(the)f(lo)s(cations)f(of)h Fj(C)47 b Fn(with)38 b(resp)s(ect)i(to)h (the)f(Sun)f(and)g(let)h Fj(\032)3351 514 y Fi(k)3384 475 y Fj(~)3394 499 y(b)3433 514 y Fi(k)3516 499 y Fn(denote)g(the)212 612 y(p)s(osition)h(of)j Fj(C)50 b Fn(with)42 b(resp)s(ect)h(to)h(the)g (Earth.)f(By)g(the)h(coplanarit)m(y)f(of)g(the)h(p)s(osition)d(v)m (ectors,)h Fj(~)-42 b(r)3784 627 y Fi(k)3874 612 y Fn(=)206 725 y Fj(~)j(a)260 740 y Fi(k)323 725 y Fn(+)20 b Fj(\032)461 740 y Fi(k)493 701 y Fj(~)504 725 y(b)543 740 y Fi(k)585 725 y Fn(,)31 b(there)f(exist)h Fj(\013)f Fn(and)g Fj(\014)36 b Fn(suc)m(h)30 b(that)1753 929 y Fj(~)-42 b(r)1797 943 y Fh(2)1862 929 y Fn(=)25 b Fj(\013)m(~)-42 b(r)2057 943 y Fh(1)2117 929 y Fn(+)20 b Fj(\014)r(~)-42 b(r)2305 943 y Fh(3)2375 929 y Fj(;)1358 b Fn(\(2.1\))212 1134 y(where,)28 b(denoting)g(b)m(y)h Fj(n)1050 1148 y Fi(pq)1123 1134 y Fj(=)p Fn(2)g(the)g(areas)g(of)g(the)f(triangles)g(spanned)f(b)m (y)e Fj(~)-42 b(r)2769 1148 y Fi(p)2837 1134 y Fn(and)25 b Fj(~)-42 b(r)3053 1148 y Fi(q)3091 1134 y Fn(,)29 b(w)m(e)g(can)g (tak)m(e)h Fj(\013)c Fn(=)3827 1097 y Fi(n)3870 1106 y Ff(23)p 3827 1113 108 4 v 3827 1165 a Fi(n)3870 1174 y Ff(13)212 1247 y Fn(and)k Fj(\014)g Fn(=)576 1210 y Fi(n)619 1219 y Ff(12)p 576 1225 V 576 1278 a Fi(n)619 1287 y Ff(13)694 1247 y Fn(.)h(Therefore)f(the)g(coplanarit)m(y)g (condition)f(can)i(b)s(e)f(written)f(as)1147 1476 y Fj(\013)p Fn(\()-6 b Fj(~)-39 b(a)1288 1490 y Fh(1)1349 1476 y Fn(+)20 b Fj(\032)1487 1490 y Fh(1)1516 1452 y Fj(~)1526 1476 y(b)1565 1490 y Fh(1)1605 1476 y Fn(\))g Fl(\000)g Fn(\()-6 b Fj(~)-39 b(a)1834 1490 y Fh(2)1894 1476 y Fn(+)20 b Fj(\032)2032 1490 y Fh(2)2061 1452 y Fj(~)2072 1476 y(b)2111 1490 y Fh(2)2150 1476 y Fn(\))h(+)e Fj(\014)5 b Fn(\()-6 b Fj(~)-39 b(a)2435 1490 y Fh(3)2496 1476 y Fn(+)20 b Fj(\032)2634 1490 y Fh(3)2663 1452 y Fj(~)2673 1476 y(b)2712 1490 y Fh(3)2752 1476 y Fn(\))25 b(=)2901 1456 y Fj(~)2908 1476 y Fn(0)31 b Fj(:)749 b Fn(\(2.2\))212 1680 y(>F)-8 b(rom)45 b(the)f(input)e(data)j(pro)m(vided)e(b)m(y)h(the) g(geo)s(cen)m(tric)h(longitudes)e(and)g(latitudes,)g(the)i(Earth{Sun) 212 1793 y(distances)40 b(and)g(the)h(ecliptical)e(longitudes)g(of)i (the)g(Earth)f(at)i(the)f(three)g(times)f(of)h(observ)-5 b(ations,)40 b(one)212 1906 y(computes)31 b(the)f(v)m(ectors)c Fj(~)-39 b(a)1130 1921 y Fi(k)1173 1906 y Fn(,)1218 1882 y Fj(~)1228 1906 y(b)1267 1921 y Fi(k)1340 1906 y Fn(\()p Fj(k)29 b Fn(=)c(1)p Fj(;)15 b Fn(2)p Fj(;)g Fn(3\).)33 b(The)d(details)f(are)i(presen)m(ted)f(in)g(App)s(endix)d(A.)212 2079 y Fo(Second)36 b(step.)f Fn(W)-8 b(e)31 b(deriv)m(e)f(equations)g (for)g(the)h(determination)e(of)i Fj(\032)2684 2093 y Fh(1)2723 2079 y Fn(,)g Fj(\032)2826 2093 y Fh(2)2865 2079 y Fn(,)g Fj(\032)2968 2093 y Fh(3)3007 2079 y Fn(.)212 2192 y(W)-8 b(e)22 b(in)m(terpret)f(the)g(v)m(ectorial)h(equation)f (\(2.2\))h(as)g(a)f(linear)f(system)h(for)g(the)g(unkno)m(wn)f(geo)s (cen)m(tric)i(distances)212 2304 y Fj(\032)259 2318 y Fh(1)299 2304 y Fn(,)30 b Fj(\032)401 2318 y Fh(2)441 2304 y Fn(,)g Fj(\032)543 2318 y Fh(3)613 2304 y Fn(and)g(w)m(e)g (rewrite)g(it)g(as)1239 2509 y Fj(\013)1287 2485 y(~)1297 2509 y(b)1336 2523 y Fh(1)1376 2509 y Fj(\032)1423 2523 y Fh(1)1483 2509 y Fl(\000)1564 2485 y Fj(~)1573 2509 y(b)1612 2523 y Fh(2)1652 2509 y Fj(\032)1699 2523 y Fh(2)1759 2509 y Fn(+)19 b Fj(\014)1895 2485 y(~)1905 2509 y(b)1944 2523 y Fh(3)1984 2509 y Fj(\032)2031 2523 y Fh(3)2096 2509 y Fn(=)25 b Fl(\000)p Fj(\013)-5 b(~)-40 b(a)2369 2523 y Fh(1)2429 2509 y Fn(+)15 b Fj(~)-40 b(a)2568 2523 y Fh(2)2627 2509 y Fl(\000)20 b Fj(\014)o(~)-39 b(a)2822 2523 y Fh(3)2892 2509 y Fn(;)841 b(\(2.3\))212 2713 y(under)28 b(the)h(condition)1012 2689 y Fj(~)1022 2713 y(b)1061 2727 y Fh(1)1119 2713 y Fl(^)1188 2689 y Fj(~)1198 2713 y(b)1237 2727 y Fh(2)1294 2713 y Fl(\001)1327 2689 y Fj(~)1338 2713 y(b)1377 2727 y Fh(3)1441 2713 y Fl(6)p Fn(=)c(0,)30 b(w)m(e)g(tak)m(e)h(the)f(scalar)f(pro)s(duct)f 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Fh(3)2718 3090 y Fn(=)2886 3004 y Fj(~)2896 3028 y(b)2935 3042 y Fh(1)2995 3028 y Fl(^)3066 3004 y Fj(~)3075 3028 y(b)3114 3042 y Fh(2)p 2824 3068 V 2814 3143 a Fj(~)2824 3167 y(b)2863 3181 y Fh(1)2923 3167 y Fl(^)2994 3143 y Fj(~)3003 3167 y(b)3042 3181 y Fh(2)3102 3167 y Fl(\001)3137 3143 y Fj(~)3147 3167 y(b)3186 3181 y Fh(3)3266 3090 y Fj(:)467 b Fn(\(2.4\))212 3344 y(Finally)-8 b(,)29 b(under)g(the)i(further)e(condition)g Fj(\013\014)i Fl(6)p Fn(=)24 b(0,)31 b(w)m(e)g(obtain)1317 3586 y Fj(\032)1364 3600 y Fh(1)1487 3586 y Fn(=)82 b Fl(\000)-5 b Fj(~)-40 b(c)1750 3600 y Fh(1)1810 3586 y Fl(\001)15 b Fj(~)-39 b(a)1904 3600 y Fh(1)1963 3586 y Fn(+)2071 3524 y(1)p 2064 3565 59 4 v 2064 3648 a Fj(\013)2128 3586 y(~)f(c)2172 3600 y Fh(1)2232 3586 y Fl(\001)15 b Fj(~)-40 b(a)2325 3600 y Fh(2)2385 3586 y Fl(\000)2487 3524 y Fj(\014)p 2486 3565 V 2486 3648 a(\013)2549 3586 y(~)g(c)2593 3600 y Fh(1)2653 3586 y Fl(\001)15 b Fj(~)-40 b(a)2746 3600 y Fh(3)1317 3746 y Fj(\032)1364 3760 y 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Fj(n)2793 4593 y Fh(13)2998 4517 y Fj(:)735 b Fn(\(2.6\))212 4760 y(Denoting)35 b(b)m(y)g Fj(A)808 4774 y Fi(pq)916 4760 y Fn(the)g(areas)g(of)g(the)g(conic)f (sectors)i(spanned)d(b)m(y)f Fj(~)-42 b(r)2653 4774 y Fi(p)2727 4760 y Fn(and)31 b Fj(~)-42 b(r)2949 4774 y Fi(q)2987 4760 y Fn(,)35 b(let)f Fj(\021)3227 4774 y Fi(pq)3334 4760 y Fl(\021)e Fj(A)3505 4774 y Fi(pq)3578 4760 y Fj(=n)3678 4774 y Fi(pq)3752 4760 y Fn(.)j(Let)212 4873 y Fj(t)245 4887 y Fi(pq)344 4873 y Fl(\021)25 b Fj(t)473 4887 y Fi(q)531 4873 y Fl(\000)20 b Fj(t)655 4887 y Fi(p)694 4873 y Fn(;)31 b(w)m(e)g(de\014ne)e Fj(P)38 b Fl(\021)1348 4836 y Fi(n)1391 4845 y Ff(12)p 1348 4852 108 4 v 1348 4905 a Fi(n)1391 4914 y Ff(23)1496 4873 y Fn(and)30 b Fj(Q)25 b Fl(\021)g Fn(2)p Fj(r)1955 4840 y Fh(3)1952 4896 y(2)1995 4873 y Fn(\()2040 4836 y Fi(n)2083 4845 y Ff(12)2148 4836 y Fh(+)p Fi(n)2246 4845 y Ff(23)p 2040 4852 271 4 v 2121 4905 a Fi(n)2164 4914 y Ff(13)2341 4873 y Fl(\000)20 b Fn(1\).)31 b(>F)-8 b(rom)31 b(Kepler's)e(second)i (la)m(w)f(w)m(e)h(get)1278 5131 y Fj(P)96 b Fn(=)1595 5069 y Fj(t)1628 5083 y Fh(12)p 1595 5110 108 4 v 1595 5193 a Fj(t)1628 5207 y Fh(23)1723 5069 y Fj(\021)1768 5083 y Fh(23)p 1723 5110 120 4 v 1723 5193 a Fj(\021)1768 5207 y Fh(12)1277 5382 y Fj(Q)83 b Fn(=)2056 5320 y Fj(t)2089 5334 y Fh(12)2163 5320 y Fj(t)2196 5334 y Fh(23)2271 5320 y Fj(r)2315 5287 y Fh(2)2312 5343 y(2)p 1595 5360 1219 4 v 1595 5444 a Fj(r)1636 5458 y Fh(1)1676 5444 y Fj(r)1717 5458 y Fh(3)1756 5444 y Fj(\021)1801 5458 y Fh(12)1876 5444 y Fj(\021)1921 5458 y Fh(23)2011 5444 y Fn(cos)16 b Fj(f)2193 5458 y Fh(12)2282 5444 y Fn(cos)g Fj(f)2464 5458 y Fh(23)2569 5444 y Fj(cosf)2740 5458 y Fh(13)2854 5382 y Fj(;)879 b Fn(\(2.7\))2056 5964 y(4)p eop %%Page: 5 5 5 4 bop 212 386 a Fn(where)28 b(2)p Fj(f)563 400 y Fi(pq)665 386 y Fn(are)h(the)g(angles)f(formed)g(b)m(y)d Fj(~)-42 b(r)1710 400 y Fi(p)1778 386 y Fn(and)25 b Fj(~)-42 b(r)1994 400 y Fi(q)2032 386 y Fn(.)29 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Fj(~)1141 939 y(b)1180 954 y Fi(k)1266 939 y Fn(as)44 b(outputs)g(of)g(the)g(\014rst)f(step,)h (one)g(computes)g(the)g(left)g(hand)e(sides)h(of)212 1052 y(equations)35 b(\(2.7\))i(and)d(\(2.8\).)j(Equation)e(\(2.8\))i (is)d(solv)m(ed)h(b)m(y)g(a)g(Newton's)h(metho)s(d.)f(The)g(quan)m (tities)f Fj(\032)3905 1066 y Fh(1)212 1165 y Fn(and)c Fj(\032)436 1179 y Fh(3)506 1165 y Fn(are)g(pro)m(vided)f(b)m(y)258 1363 y Fj(\032)305 1377 y Fh(1)369 1363 y Fn(=)c Fl(\000)-5 b Fj(~)-40 b(c)575 1377 y Fh(1)628 1363 y Fl(\001)7 b Fj(~)-39 b(a)714 1377 y Fh(1)767 1363 y Fn(+)887 1302 y Fj(P)33 b Fn(+)20 b(1)p 860 1342 281 4 v 860 1438 a(1)h(+)1051 1398 y Fi(Q)p 1027 1417 104 4 v 1027 1475 a Fh(2)p Fi(r)1096 1452 y Ff(3)1094 1498 y(2)1145 1363 y Fj(~)-40 b(c)1189 1377 y Fh(1)1242 1363 y Fl(\001)7 b Fj(~)-39 b(a)1328 1377 y Fh(2)1381 1363 y Fl(\000)13 b Fj(P)8 b(~)-40 b(c)1575 1377 y Fh(1)1628 1363 y Fl(\001)7 b Fj(~)-39 b(a)1714 1377 y Fh(3)1780 1363 y Fj(;)197 b(\032)2049 1377 y Fh(3)2114 1363 y Fn(=)25 b Fl(\000)2304 1302 y Fn(1)p 2291 1342 71 4 v 2291 1426 a Fj(P)2367 1363 y(~)-40 b(c)2411 1377 y Fh(3)2464 1363 y Fl(\001)7 b Fj(~)-39 b(a)2550 1377 y Fh(1)2602 1363 y Fn(+)2793 1302 y Fj(P)34 b Fn(+)19 b(1)p 2696 1342 422 4 v 2696 1438 a Fj(P)13 b Fn(\(1)21 b(+)2993 1398 y Fi(Q)p 2969 1417 104 4 v 2969 1475 a Fh(2)p Fi(r)3038 1452 y Ff(3)3036 1498 y(2)3083 1438 y Fn(\))3123 1363 y Fj(~)-40 b(c)3167 1377 y Fh(3)3220 1363 y Fl(\001)7 b Fj(~)-39 b(a)3306 1377 y Fh(2)3359 1363 y Fl(\000)8 b Fj(~)-40 b(c)3482 1377 y Fh(3)3534 1363 y Fl(\001)7 b Fj(~)-39 b(a)3620 1377 y Fh(3)3687 1363 y Fj(:)46 b Fn(\(2.9\))212 1683 y Fo(Remark:)32 b Fn(Notice)e(that)f(to)g(ha)m(v)m(e)g(a)g(meaningful)d(appro)m (ximation)i(for)g Fj(\032)2759 1697 y Fh(2)2826 1683 y Fn(in)g(\(2.6\))i(it)e(is)f(not)i(su\016cien)m(t)f(to)212 1796 y(start)35 b(with)f Fj(n)701 1810 y Fi(pq)806 1796 y Fn(=)e Fj(t)942 1810 y Fi(pq)1050 1796 y Fn(as)j(it)f(can)h(b)s(e)f 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2323 y Fi(k)r Fh(+1)1299 2308 y Fn(\),)31 b Fj(k)d Fl(\025)d Fn(0,)31 b(de\014ned)e(as)i(follo)m(ws.)212 2420 y(As)39 b(initial)d(appro)m(ximation)i(w)m(e)i(de\014ne)e Fj(P)1713 2434 y Fh(0)1792 2420 y Fn(=)1912 2384 y Fi(t)1937 2393 y Ff(12)p 1912 2399 91 4 v 1912 2452 a Fi(t)1937 2461 y Ff(23)2013 2420 y Fn(,)h Fj(Q)2149 2434 y Fh(0)2228 2420 y Fn(=)g Fj(t)2371 2434 y Fh(12)2446 2420 y Fj(t)2479 2434 y Fh(23)2553 2420 y Fn(,)g(whic)m(h)f(di\013er)g(from)g(the)h (real)g(v)-5 b(alues)212 2545 y(b)m(y)d(,)33 b(resp)s(ectiv)m(ely)-8 b(,)32 b Fj(O)s Fn(\()p Fj(")1022 2512 y Fh(2)1062 2545 y Fn(\))h(and)e Fj(O)s Fn(\()p Fj(")1457 2512 y Fh(3)1497 2545 y Fn(\);)i(w)m(e)f(compute)h Fj(\032)2143 2559 y Fh(2)p Fi(;)p Fh(0)2269 2545 y Fn(using)e(\(2.8\),)j(and)e Fj(\032)2979 2559 y Fh(1)p Fi(;)p Fh(0)3073 2545 y Fn(,)h Fj(\032)3178 2559 y Fh(3)p Fi(;)p Fh(0)3304 2545 y Fn(using)e(\(2.9\).) j(The)212 2658 y(kno)m(wledge)29 b(of)g(the)h(geo)s(cen)m(tric)g (distances)e(pro)m(vides)g(the)i(v)-5 b(alues)28 b(for)h Fj(r)2686 2673 y Fi(k)r(;)p Fh(0)2783 2658 y Fn(,)h Fj(\021)2883 2672 y Fi(pq)r(;)p Fh(0)3011 2658 y Fn(,)g Fj(f)3111 2672 y Fi(pq)r(;)p Fh(0)3238 2658 y Fn(.)g(Then,)e(w)m(e)i(iterate)212 2771 y(de\014ning)23 b(\()p Fj(P)643 2785 y Fh(1)684 2771 y Fj(;)15 b(Q)796 2785 y Fh(1)835 2771 y Fn(\))26 b(b)m(y)f(means)g(of)h(the)f(expressions)f(\(2.7\).)j(Finally)-8 b(,)24 b(Gauss)h(problem)f(is)g(solv)m(ed)h(b)m(y)h(lo)s(oking)212 2884 y(for)k(a)h(non{trivial)d(\014xed)i(p)s(oin)m(t)f(of)i(the)g (Gauss)f(map.)212 3057 y Fo(Remark:)h Fn(There)d(are)g(man)m(y)g(w)m(a) m(ys)g(that)h(one)f(can)g(imagine)f(to)h(\014x)f(the)h(\\unkno)m(wns")f (and)h(to)g(set)g(up)f(the)212 3170 y(corresp)s(onding)k(equations:)i (the)g(essen)m(tial)g(con)m(tribution)f(of)h(Gauss)g(has)f(b)s(een)h (to)g(devise)g(equations)g(for)212 3283 y(quan)m(tities)k(that)g(could) f(b)s(e)h(determined)f(from)g(the)i(ob)s(erv)-5 b(ations)36 b(to)i(the)f(high)f(accuracy)i(necessary)g(to)212 3396 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Fh(1)3248 4631 y Fn(\))873 4795 y Fj(\032)920 4809 y Fh(2)1043 4795 y Fn(=)83 b Fj(\013)-5 b(~)-40 b(c)1294 4809 y Fh(2)1354 4795 y Fl(\001)21 b Fn(\()-6 b Fj(~)-39 b(a)1483 4809 y Fh(1)1543 4795 y Fl(\000)15 b Fj(~)-41 b(a)1681 4809 y Fh(2)1721 4795 y Fn(\))21 b(+)e(\()p Fj(\013)i Fn(+)f Fj(\014)26 b Fl(\000)20 b Fn(1\))-5 b Fj(~)-40 b(c)2359 4809 y Fh(2)2420 4795 y Fl(\001)15 b Fj(~)-40 b(a)2513 4809 y Fh(2)2573 4795 y Fn(+)20 b Fj(\014~)-40 b(c)2759 4809 y Fh(2)2819 4795 y Fl(\001)20 b Fn(\()-6 b Fj(~)-39 b(a)2947 4809 y Fh(3)3007 4795 y Fl(\000)15 b Fj(~)-40 b(a)3146 4809 y Fh(2)3186 4795 y Fn(\))873 4976 y Fj(\032)920 4990 y Fh(3)1043 4976 y Fn(=)83 b Fl(\000)1278 4914 y Fj(\013)p 1278 4955 V 1279 5038 a(\014)1341 4976 y(~)-40 b(c)1385 4990 y Fh(3)1445 4976 y Fl(\001)20 b Fn(\()-6 b Fj(~)-39 b(a)1573 4990 y Fh(1)1633 4976 y Fl(\000)15 b Fj(~)-40 b(a)1772 4990 y Fh(3)1812 4976 y Fn(\))20 b(+)1973 4914 y(1)p 1968 4955 57 4 v 1968 5038 a Fj(\014)2029 4976 y(~)-40 b(c)2073 4990 y Fh(3)2133 4976 y Fl(\001)21 b Fn(\()-6 b Fj(~)-39 b(a)2262 4990 y Fh(2)2322 4976 y Fl(\000)15 b Fj(~)-40 b(a)2461 4990 y Fh(3)2500 4976 y Fn(\))21 b Fl(\000)2657 4914 y Fj(\013)f Fn(+)g Fj(\014)26 b Fl(\000)19 b Fn(1)p 2657 4955 383 4 v 2820 5038 a Fj(\014)3044 4976 y(~)-40 b(c)3088 4990 y Fh(3)3148 4976 y Fl(\001)15 b Fj(~)-40 b(a)3241 4990 y Fh(3)212 5188 y Fn(and)30 b(noticing)f(that)i (the)g(quan)m(tities)24 b Fj(~)-39 b(a)1559 5202 y Fh(2)1618 5188 y Fl(\000)15 b Fj(~)-40 b(a)1757 5202 y Fh(1)1797 5188 y Fn(,)25 b Fj(~)-40 b(a)1900 5202 y Fh(3)1960 5188 y Fl(\000)15 b Fj(~)-40 b(a)2099 5202 y Fh(2)2138 5188 y Fn(,)25 b Fj(~)-39 b(a)2242 5202 y Fh(3)2302 5188 y Fl(\000)15 b Fj(~)-41 b(a)2440 5202 y Fh(1)2510 5188 y Fn(are)31 b(of)g Fj(O)s Fn(\()p Fj(")2915 5155 y Fh(2)2955 5188 y Fn(\).)212 5361 y Fo(F)-9 b(ourth)31 b(step.)f Fn(F)-8 b(rom)28 b(the)e(results)g(ab)s(out)g(the)h(helio)s(cen)m(tric) f(distances)d Fj(~)-42 b(r)2791 5375 y Fh(1)2830 5361 y Fn(,)24 b Fj(~)-42 b(r)2923 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y(motion,)30 b(w)m(e)h(deriv)m(e)f(an)g (implicit)e(equation)i(for)g(the)h(distance)f(of)g Fj(C)37 b Fn(from)30 b(the)h(Earth.)212 1010 y(Beside)c(the)g(h)m(yp)s(otheses) g(made)g(while)d(dev)m(eloping)i(Gauss)h(metho)s(d,)g(w)m(e)g(assume)g (that)h Fj(C)33 b Fn(has)26 b(zero)i(mass,)212 1123 y(though)j(this)e (assumption)g(do)s(es)i(not)g(drastically)e(in\015uence)g(the)i(metho)s (d.)f(F)-8 b(or)32 b(a)f(function)e Fj(f)35 b Fn(=)26 b Fj(f)10 b Fn(\()p Fj(t)p Fn(\))30 b(let)212 1250 y(us)g(denote)h(b)m (y)f Fj(f)803 1217 y Fe(0)851 1250 y Fl(\021)957 1209 y Fi(d)-12 b(f)p 957 1229 66 4 v 959 1281 a(dt)1063 1250 y Fn(and)30 b(b)m(y)g Fj(f)1421 1217 y Fe(00)1488 1250 y Fl(\021)1594 1209 y Fi(d)1630 1186 y Ff(2)1665 1209 y Fi(f)p 1594 1229 113 4 v 1602 1283 a(dt)1663 1264 y Ff(2)1716 1250 y Fn(.)g(The)g(equations)g(of)h(motion)f(are)h(giv)m(en) f(b)m(y)1518 1500 y Fj(~)-39 b(a)1572 1462 y Fe(00)1639 1500 y Fn(=)25 b Fl(\000)1830 1438 y Fj(~)-39 b(a)p 1816 1478 88 4 v 1816 1562 a(a)1864 1536 y Fh(3)1944 1500 y Fj(;)194 b(~)-42 b(r)2240 1462 y Fe(00)2308 1500 y Fn(=)25 b Fl(\000)2501 1438 y Fj(~)-42 b(r)p 2485 1478 83 4 v 2485 1562 a(r)2529 1536 y Fh(3)2607 1500 y Fj(;)1080 b Fn(\(2.10\))212 1717 y(where)24 b Fj(~)-40 b(a)30 b Fn(and)c Fj(~)-42 b(r)33 b Fn(denote)d(the)g(p)s(osition)e(v)m(ectors)j (of)f(the)g(Earth)g(and)f Fj(C)36 b Fn(with)29 b(resp)s(ect)g(to)i(the) f(Sun.)e(Notice)212 1830 y(that)42 b(the)g(\014rst)f(in)f(\(2.10\))k (implies)39 b(the)i(coplanarit)m(y)h(of)f(the)h(Earth{Sun)e(distance)i (v)m(ectors,)h(whic)m(h)d(is)212 1943 y(ev)m(en)m(tually)30 b(destro)m(y)m(ed)i(b)m(y)e(an)m(y)h(ab)s(errational)e(e\013ect.)212 2056 y(Let)j Fj(~)-42 b(r)s Fn(\()p Fj(t)p Fn(\))35 b(b)s(e)f(the)g (helio)s(cen)m(tric)g(distance)g(at)h(time)f Fj(t)p Fn(.)h(Then)30 b Fj(~)-42 b(r)s Fn(\()p Fj(t)p Fn(\))33 b(=)26 b Fj(~)-40 b(a)p Fn(\()p Fj(t)p Fn(\))24 b(+)f Fj(\032)p Fn(\()p Fj(t)p Fn(\))3048 2032 y Fj(~)3058 2056 y(b)p Fn(\()p Fj(t)p Fn(\))35 b(\(where)g Fj(\032)p 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b(obtain)f(an)g(expression)g(for)1373 4098 y Fj(~)1383 4122 y(b)p Fn(,)1477 4098 y Fj(~)1488 4122 y(b)1527 4089 y Fe(0)1550 4122 y Fn(,)1605 4098 y Fj(~)1616 4122 y(b)1655 4089 y Fe(00)1737 4122 y Fn(at)i Fj(t)g Fn(=)f Fj(t)2079 4136 y Fh(2)2159 4122 y Fn(in)e(terms)i(of)f Fk(four)51 b Fn(parameters)41 b Fj(\025)3398 4089 y Fe(0)3398 4145 y Fh(2)3437 4122 y Fn(,)g Fj(\025)3556 4089 y Fe(00)3556 4145 y Fh(2)3598 4122 y Fn(,)g Fj(\014)3720 4089 y Fe(0)3715 4145 y Fh(2)3755 4122 y Fn(,)f Fj(\014)3876 4089 y Fe(00)3871 4145 y Fh(2)3919 4122 y Fn(.)212 4235 y(An)i(appro)m(ximation)f(for)h Fj(\025)1195 4202 y Fe(0)1195 4258 y Fh(2)1235 4235 y Fn(,)g Fj(\025)1355 4202 y Fe(00)1355 4258 y Fh(2)1398 4235 y Fn(,)g Fj(\014)1521 4202 y Fe(0)1516 4258 y Fh(2)1556 4235 y Fn(,)h Fj(\014)1680 4202 y Fe(00)1675 4258 y Fh(2)1764 4235 y Fn(can)g(b)s(e)f(found)f(b)m(y)h(quadratic)g(in)m(terp)s (olation)e(b)s(et)m(w)m(een)j(the)212 4348 y(observ)m(ed)31 b(v)-5 b(alues)30 b Fj(\025)911 4362 y Fh(1)950 4348 y Fn(,)h Fj(\025)1059 4362 y Fh(2)1098 4348 y Fn(,)g Fj(\025)1207 4362 y Fh(3)1247 4348 y Fn(,)f Fj(\014)1353 4362 y Fh(1)1393 4348 y Fn(,)h Fj(\014)1500 4362 y Fh(2)1540 4348 y Fn(,)g Fj(\014)1647 4362 y Fh(3)1686 4348 y Fn(;)g(expanding)e Fj(\025)i Fn(and)f Fj(\014)36 b Fn(in)29 b(T)-8 b(a)m(ylor)31 b(series,)f(one)h(\014nds)d(that)k(suc)m(h)212 4460 y(appro)m(ximation) 25 b(is)f(of)i Fj(O)s Fn(\()p Fj(")1148 4427 y Fh(2)1188 4460 y Fn(\),)g(where)f Fj(")g Fl(\021)g Fj(t)1728 4474 y Fh(3)1778 4460 y Fl(\000)10 b Fj(t)1892 4474 y Fh(1)1931 4460 y Fn(.)26 b(As)g(a)f(consequence,)i(one)f(can)g(compute)f(the)h (quan)m(tities)212 4573 y Fj(d)p Fn(,)35 b Fj(d)366 4587 y Fh(1)406 4573 y Fn(,)g Fj(d)513 4587 y Fh(2)587 4573 y Fn(app)s(earing)e(in)h(\(2.12\))j(and)d(w)m(e)h(can)g(pro)s(ceed)f (to)i(solv)m(e)f(the)g(equation)f(\(2.11\))j(b)m(y)e(a)g(Newton's)212 4686 y(metho)s(d.)212 4799 y(On)k(the)h(other)f(hand,)g(w)m(e)h(\014nd) e(that)i(also)g(the)g(v)m(elo)s(cit)m(y)c Fj(~)-41 b(v)2334 4813 y Fh(2)2413 4799 y Fn(of)40 b Fj(C)46 b Fn(at)40 b(time)f Fj(t)3006 4813 y Fh(2)3085 4799 y Fn(dep)s(ends)f(on)h(the)h (same)212 4912 y(quan)m(tities,)30 b(since)g(it)g(can)g(b)s(e)g (expanded)g(as)1625 5107 y Fj(~)-42 b(v)1672 5121 y Fh(2)1737 5107 y Fn(=)19 b Fj(~)-39 b(a)1881 5069 y Fe(0)1881 5129 y Fh(2)1941 5107 y Fn(+)20 b Fj(\032)2079 5069 y Fe(0)2079 5129 y Fh(2)2108 5083 y Fj(~)2118 5107 y(b)2157 5121 y Fh(2)2217 5107 y Fn(+)g Fj(\032)2355 5121 y Fh(2)2384 5083 y Fj(~)2394 5107 y(b)2433 5069 y Fe(0)2433 5129 y Fh(2)2503 5107 y Fj(;)212 5301 y Fn(where)i Fj(~)-39 b(a)521 5315 y Fh(2)560 5301 y Fn(,)23 b Fj(~)-39 b(a)662 5268 y Fe(0)662 5324 y Fh(2)729 5301 y Fn(are)29 b(giv)m(en)f(b)m(y)g (the)h(ephemeris.)e(W)-8 b(e)29 b(still)e(need)h(to)h(express)e(the)i (deriv)-5 b(ativ)m(es)27 b(of)3501 5277 y Fj(~)3511 5301 y(b)3550 5315 y Fh(2)3617 5301 y Fn(in)g(terms)212 5414 y(of)305 5390 y Fj(~)316 5414 y(b)355 5428 y Fh(1)394 5414 y Fn(,)439 5390 y Fj(~)450 5414 y(b)489 5428 y Fh(2)528 5414 y Fn(,)573 5390 y Fj(~)584 5414 y(b)623 5428 y Fh(3)662 5414 y Fn(.)2056 5964 y(6)p eop %%Page: 7 7 7 6 bop 212 386 a Fo(Remark)34 b(2.1)46 b Fn(Making)38 b(use)g(of)g Fj(m)f Fn(observ)-5 b(ations)38 b(\()p Fj(\025)2132 400 y Fh(1)2171 386 y Fj(;)15 b(\014)2262 400 y Fh(1)2303 386 y Fn(\))p Fj(;)g(:::;)g Fn(\()p Fj(\025)2581 400 y Fi(m)2650 386 y Fj(;)g(\014)2741 400 y Fi(m)2808 386 y Fn(\))38 b(at)h(di\013eren)m(t)e(times)g Fj(t)3649 400 y Fh(1)3688 386 y Fj(;)15 b(:::;)g(t)3876 400 y Fi(m)212 499 y Fn(with)29 b Fj(m)c Fl(\025)g Fn(3,)31 b(one)g(can)f(compute)h (the)g(in)m(terp)s(olating)d(p)s(olynomials)2629 475 y(~)2626 499 y Fj(\025)p Fn(\()p Fj(t)p Fn(\),)2851 475 y(~)2838 499 y Fj(\014)5 b Fn(\()p Fj(t)p Fn(\))31 b(of)f(degree)h Fj(m)20 b Fl(\000)g Fn(1)31 b(as)f(\(see)212 612 y([4)q(],)h([6]\))749 824 y(~)745 848 y Fj(\025)p Fn(\()p Fj(t)p Fn(\))84 b(=)1188 787 y(\()p Fj(t)20 b Fl(\000)g Fj(t)1400 801 y Fh(2)1439 787 y Fn(\))p Fj(:::)p Fn(\()p Fj(t)i Fl(\000)e 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v 1148 1158 a(\()p Fj(t)1216 1172 y Fh(1)1276 1158 y Fl(\000)g Fj(t)1400 1172 y Fh(2)1439 1158 y Fn(\))p Fj(:::)p Fn(\()p Fj(t)1617 1172 y Fh(1)1678 1158 y Fl(\000)g Fj(t)1802 1172 y Fi(m)1869 1158 y Fn(\))1914 1096 y Fj(\014)1965 1110 y Fh(1)2025 1096 y Fn(+)g Fj(:::)h Fn(+)2379 1035 y(\()p Fj(t)g Fl(\000)f Fj(t)2592 1049 y Fh(1)2631 1035 y Fn(\))p Fj(:::)p Fn(\()p Fj(t)h Fl(\000)f Fj(t)2954 1049 y Fi(m)p Fe(\000)p Fh(1)3111 1035 y Fn(\))p 2313 1075 901 4 v 2313 1158 a(\()p Fj(t)2381 1172 y Fi(m)2468 1158 y Fl(\000)g Fj(t)2592 1172 y Fh(1)2631 1158 y Fn(\))p Fj(:::)p Fn(\()p Fj(t)2809 1172 y Fi(m)2897 1158 y Fl(\000)g Fj(t)3021 1172 y Fi(m)p Fe(\000)p Fh(1)3177 1158 y Fn(\))3223 1096 y Fj(\014)3274 1110 y Fi(m)3371 1096 y Fj(:)212 1422 y Fn(T)-8 b(aking)30 b(the)h(deriv)-5 b(ativ)m(es,)30 b(for)g(instance,)g(in)f Fj(t)c Fn(=)g Fj(t)1961 1436 y Fh(2)2001 1422 y Fn(,)30 b(one)h(obtains:)258 1610 y Fj(\025)311 1572 y Fe(0)311 1632 y Fh(2)375 1610 y Fn(=)25 b Fj(\025)524 1572 y Fe(0)524 1632 y Fi(n)579 1610 y Fn(+)8 b Fj(O)s Fn(\()p Fj(")807 1572 y Fi(n)p Fh(+2)944 1610 y Fn(\))25 b Fj(;)106 b(\014)1191 1572 y Fe(0)1186 1632 y Fh(2)1251 1610 y Fn(=)25 b Fj(\014)1403 1572 y Fe(0)1398 1632 y Fi(n)1453 1610 y Fn(+)8 b Fj(O)s Fn(\()p Fj(")1681 1572 y Fi(n)p Fh(+2)1819 1610 y Fn(\))24 b Fj(;)107 b(\025)2063 1572 y Fe(00)2063 1632 y Fh(2)2130 1610 y Fn(=)25 b Fj(\025)2279 1572 y Fe(00)2279 1632 y Fi(n)2334 1610 y Fn(+)8 b Fj(O)s Fn(\()p Fj(")2562 1572 y Fi(n)p Fh(+1)2699 1610 y Fn(\))25 b Fj(;)106 b(\014)2946 1572 y Fe(00)2941 1632 y Fh(2)3014 1610 y Fn(=)25 b Fj(\014)3166 1572 y Fe(00)3161 1632 y Fi(n)3217 1610 y Fn(+)8 b Fj(O)s Fn(\()p Fj(")3445 1572 y Fi(n)p Fh(+1)3582 1610 y Fn(\))24 b Fj(;)46 b Fn(\(2.14\))212 1798 y(where)27 b Fj(n)e Fn(=)g Fj(m)15 b Fl(\000)g Fn(3,)28 b Fj(\025)980 1765 y Fe(0)980 1820 y Fi(n)1052 1798 y Fl(\021)1152 1774 y Fn(~)1148 1798 y Fj(\025)1201 1765 y Fe(0)1225 1798 y Fn(\()p Fj(t)1293 1812 y Fh(2)1332 1798 y Fn(\),)h Fj(\014)1477 1765 y Fe(0)1472 1820 y Fi(n)1544 1798 y Fl(\021)1653 1774 y Fn(~)1640 1798 y Fj(\014)1696 1765 y Fe(0)1720 1798 y Fn(\()p Fj(t)1788 1812 y Fh(2)1827 1798 y Fn(\),)g Fj(\025)1969 1765 y Fe(00)1969 1820 y Fi(n)2041 1798 y Fl(\021)2141 1774 y Fn(~)2137 1798 y Fj(\025)2190 1765 y Fe(00)2232 1798 y Fn(\()p Fj(t)2300 1812 y Fh(2)2340 1798 y Fn(\),)f Fj(\014)2484 1765 y Fe(00)2479 1820 y Fi(n)2552 1798 y Fl(\021)2661 1774 y Fn(~)2648 1798 y Fj(\014)2704 1765 y Fe(00)2747 1798 y Fn(\()p Fj(t)2815 1812 y Fh(2)2854 1798 y Fn(\).)h(W)-8 b(e)29 b(stress)e(that)i(more)f(than)212 1911 y(3)36 b(observ)-5 b(ations)36 b(are)g(used)f Fd(only)g Fn(to)i(compute)f(the) g(in)m(terp)s(olating)f(p)s(olynomials,)e(but)i(that)i(using)d(more)212 2024 y(than)27 b(3)i(observ)-5 b(ations)27 b(one)h(m)m(ust)f(face)i (the)f(problem)e(of)i(the)f(compatibilit)m(y)f(of)i(the)g(equations,)f (whenev)m(er)212 2137 y(the)d(data)f(are)h(a\013ected)h(b)m(y)e(observ) -5 b(ational)23 b(errors.)g(In)f(principle,)e(one)k(can)f(write)g(some) g(implicit)e(equations)212 2262 y(for)361 2238 y Fj(~)351 2262 y(b)390 2276 y Fh(2)430 2200 y Fe(0)483 2262 y Fn(and)670 2238 y Fj(~)660 2262 y(b)699 2276 y Fh(2)739 2200 y Fe(00)781 2262 y Fn(,)30 b(whic)m(h)g(allo)m(w)f(to)j(solv)m(e)e(the)h(ab)s(o)m (v)m(e)g(men)m(tioned)f(compatibilit)m(y)f(problem.)212 2375 y(Moreo)m(v)m(er,)h(care)f(m)m(ust)f(b)s(e)f(tak)m(en)i(while)d (using)g(the)i(in)m(terp)s(olating)e(p)s(olynomials.)f(Indeed,)j(the)g (longitude)212 2488 y(and)i(latitude)g(dep)s(end)f(on)i(the)g(mean)g (anomaly)g(\(equiv)-5 b(alen)m(tly)d(,)30 b(on)h(the)g(time\))g (through)f(some)h(standard)212 2601 y(form)m(ulae)k(and)g(through)g (Kepler's)g(equation.)g(The)g(in)m(v)m(ersion)f(of)i(Kepler's)f (equation)g(pro)m(vides)g(the)g(ec-)212 2714 y(cen)m(tric)c(anomaly)f (in)f(terms)h(of)h(the)g(mean)f(anomaly)-8 b(.)31 b(The)f(solution)f (of)h(this)f(implicit)f(function)h(problem)212 2827 y(b)m(y)38 b(p)s(olynomial)d(in)m(terp)s(olation)h(is)g(made)i(di\016cult)e(at)i (least)g(in)e(the)i(case)h(of)e(high)g(eccen)m(tricit)m(y)i(b)m(y)e (the)212 2940 y(fact)g(that)g(the)f(dep)s(endence)f(of)h(the)g(mean)g (anomaly)g(from)g(the)g(eccen)m(tric)h(anomaly)f(or)g(from)f(the)i (true)212 3053 y(anomaly)30 b(has)f(singularities)e(in)h(a)i(complex)f (domain)g(whose)g(size)h(limits)d(the)j(accuracy)h(implemen)m(tation) 212 3165 y(of)38 b(the)h(in)m(terp)s(olating)d(form)m(ulae.)i(F)-8 b(urthermore,)39 b(as)f(already)g(men)m(tioned,)g(the)g(observ)-5 b(ations)38 b(m)m(ust)g(b)s(e)212 3278 y(made)27 b(during)e(a)i(time)g (in)m(terv)-5 b(al)26 b(small)f(with)h(resp)s(ect)h(to)h(the)f(rev)m (olution)f(p)s(erio)s(d)e(and)j(if)f(the)h(observ)-5 b(ations)212 3391 y(are)24 b(to)s(o)h(close)f(in)e(time,)i(the)g (error's)f(in\015uence)f(ma)m(y)i(b)s(ecome)h(excessiv)m(e)f(and)f(ma)m (y)i(comp)s(ete)f(with)e(the)i(fact)212 3504 y(that)34 b(the)g(problem)e(is)g(o)m(v)m(erdetermined.)i(W)-8 b(e)34 b(refer)f(to)i(App)s(endix)30 b(E)k(for)f(details)f(ab)s(out)h(the)h (discussion)212 3617 y(of)i(the)g(singularit)m(y)e(domain)h(of)h (Kepler's)f(equation)h(for)g(complex)f(v)-5 b(alues)36 b(of)g(the)g(mean)g(and)f(eccen)m(tric)212 3730 y(anomalies.)30 b(Laplace)h(applied)d(his)h(metho)s(d)h(with)f(4)i(observ)-5 b(ations)30 b(for)g(the)h(study)e(of)i(the)f(comet)i(of)f(1773)212 3843 y(\(see)36 b([4)q(],)f(p.)f(131\))j(and)d(with)g(5)h(observ)-5 b(ations)34 b(for)h(the)g(study)f(of)h(the)g(comet)h(of)f(1781)i(\(see) f([4)q(],)f(p.)f(141\).)212 3956 y(P)m(erhaps)26 b(the)g(most)g (appropriate)f(w)m(a)m(y)i(to)g(pro)s(ceed)f(is)f(again)h(the)g(one)g (suggested)h(and)e(used)h(b)m(y)f(Gauss:)i(to)212 4069 y(determine)g(sev)m(eral)i(orbits)e(alw)m(a)m(ys)i(using)e(three)h (observ)-5 b(ations)28 b(and)f(then)h(to)h(apply)e(statistical)h(metho) s(ds)212 4182 y(to)k(\014nd)d(the)i(\\b)s(est)g(\014tted)g(orbital)f (data",)i(whic)m(h)e(lead)g(Gauss)h(to)h(in)m(tro)s(duce)d(in)h(this)g 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b(of)g(the)h(\014rst)e(appro)m (ximations)h(of)g(Gauss)g(and)g(Laplace)h(metho)s(ds.)2056 5964 y(7)p eop %%Page: 8 8 8 7 bop 212 386 a Fg(2.3)112 b(A)37 b(sk)m(etc)m(h)h(of)f(Mossotti)g (metho)s(d)212 558 y Fo(First)30 b(step.)g Fn(F)-8 b(rom)27 b(the)f(equations)g(of)g(motion)g(\(2.10\))j(and)d(the)g(coplanarit)m (y)g(condition,)f(w)m(e)i(expand)e(the)212 671 y(helio)s(cen)m(tric)k (distance)h(in)f(T)-8 b(a)m(ylor)31 b(series)f(around)f(the)h(in)m (termediate)h(time)f Fj(t)2920 685 y Fh(2)2959 671 y Fn(.)212 784 y(Let)h(the)g(equations)f(of)g(motion)g(for)g Fj(C)37 b Fn(b)s(e)30 b(expressed)g(b)m(y)1842 1017 y Fj(~)-42 b(r)1919 979 y Fe(00)1986 1017 y Fn(=)25 b Fl(\000)2180 955 y Fj(~)-42 b(r)p 2163 996 83 4 v 2163 1079 a(r)2207 1053 y Fh(3)2286 1017 y Fj(;)1401 b Fn(\(2.15\))212 1231 y(with)29 b(initial)f(condition)1505 1344 y Fj(~)-42 b(r)r Fn(\()p Fj(t)1619 1358 y Fh(2)1659 1344 y Fn(\))25 b(=)e Fj(~)-43 b(r)1856 1358 y Fh(2)1926 1344 y Fj(;)195 b(~)-43 b(r)2222 1306 y Fe(0)2246 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Fh(1)1713 2668 y(1)1773 2645 y Fn(+)c Fj(O)s Fn(\()p Fj(t)2004 2659 y Fh(12)2079 2645 y Fn(\))30 b(with)672 2849 y Fj(\032)719 2812 y Fh(1)719 2872 y(1)842 2849 y Fn(=)82 b([\()1083 2827 y Fj(~)1055 2849 y(M)31 b Fl(\000)f Fj(~)-55 b(m)p Fn(\))21 b Fl(\001)1436 2826 y Fj(~)1446 2849 y(b)1485 2863 y Fh(2)1555 2849 y Fj(T)1608 2863 y Fh(12)1703 2849 y Fn(+)842 3023 y(+)82 b(\()1058 3000 y Fj(~)1030 3023 y(M)31 b Fl(\000)f Fj(~)-55 b(m)p Fn(\))20 b Fl(\001)15 b Fj(~)-39 b(a)1469 3037 y Fh(2)2129 2961 y Fj(t)2162 2975 y Fh(13)p 1549 3002 1269 4 v 1549 3086 a Fl(\000)24 b Fj(~)-39 b(a)1698 3100 y Fh(3)1757 3086 y Fl(\001)16 b Fj(~)-40 b(c)1842 3100 y Fh(2)1902 3086 y Fn(+)20 b Fj(\033)2048 3055 y Fh(3)2045 3111 y(1)2112 3086 y Fj(~)-39 b(a)2166 3100 y Fh(2)2225 3086 y Fl(\001)16 b Fj(~)-40 b(c)2310 3100 y Fh(2)2370 3086 y Fl(\000)20 b Fj(\033)2516 3060 y Fh(3)2580 3086 y Fj(~)-39 b(a)2634 3100 y Fh(1)2693 3086 y Fl(\001)16 b Fj(~)-40 b(c)2778 3100 y Fh(2)2827 3023 y Fn(]\()2877 2999 y Fj(~)2887 3023 y(b)2926 3037 y Fh(1)2987 3023 y Fl(^)3058 2999 y Fj(~)3067 3023 y(b)3106 3037 y Fh(2)3166 3023 y Fl(\001)15 b Fj(~)-39 b(a)3260 3037 y Fh(2)3299 3023 y Fn(\))3334 2985 y Fe(\000)p Fh(1)3459 3023 y Fj(:)228 b Fn(\(2.27\))212 3273 y(Finally)-8 b(,)29 b(w)m(e)i(mak)m(e)g(use)f(of)h(the)g(equation) 1396 3478 y(\()1458 3455 y Fj(~)1431 3478 y(M)f Fl(\000)g Fj(~)-55 b(m)p Fn(\))21 b Fl(\001)f Fn(\()-6 b Fj(~)-39 b(a)1904 3492 y Fh(1)1964 3478 y Fn(+)20 b Fj(\032)2102 3440 y Fh(1)2102 3500 y(1)2131 3454 y Fj(~)2142 3478 y(b)2181 3492 y Fh(1)2220 3478 y Fn(\))26 b(=)f Fj(\032)2424 3440 y Fh(1)2424 3500 y(1)2490 3455 y Fj(~)2463 3478 y(M)30 b Fl(\001)2616 3454 y Fj(~)2627 3478 y(b)2666 3492 y Fh(1)2735 3478 y Fj(;)952 b Fn(\(2.28\))212 3682 y(expressing)26 b(the)i(orthogonalit)m(y)g(b)s(et)m(w)m(een)38 b Fj(~)-55 b(m)27 b Fn(and)d Fj(~)-42 b(r)2029 3696 y Fh(1)2096 3682 y Fn(as)28 b(w)m(ell)e(as)i(b)s(et)m(w)m(een)2870 3659 y Fj(~)2843 3682 y(M)38 b Fn(and)21 b Fj(~)-40 b(a)3190 3696 y Fh(1)3230 3682 y Fn(.)28 b(Being)3563 3659 y Fj(~)3536 3682 y(M)38 b Fn(kno)m(wn,)212 3795 y(one)24 b(can)f(com)m(bine)g(the)g (three)h(equations)f(pro)m(vided)e(b)m(y)i(\(2.26\))j(and)c(\(2.28\))k (to)e(\014nd)d(the)j(three)f(comp)s(onen)m(ts)212 3908 y(of)41 b Fj(~)-55 b(m)30 b Fn(and)g(therefore)g(a)h(\014rst)f(appro)m (ximation)f(of)i(the)f(elemen)m(ts)h(within)d(an)i(error)g(of)g Fj(O)s Fn(\()p Fj(t)3361 3922 y Fh(12)3436 3908 y Fn(\).)212 4095 y Fo(Remark)k(2.2)46 b Fn(Both)c(Mossotti)f(and)f(Laplace)h(metho) s(ds)f(use)g(more)g(than)h(3)g(observ)-5 b(ations.)40 b(Ho)m(w)m(ev)m(er,)212 4208 y(the)29 b(fourth)g(observ)-5 b(ation)29 b(is)f(needed)h(in)f(Mossotti's)i(metho)s(d)e(to)i(b)m (ypass)f(the)h(problem)d(of)i(solving)f(a)i(v)m(ery)212 4321 y(complicated)d(equation.)h(On)f(the)h(con)m(trary)-8 b(,)29 b(Laplace's)f(metho)s(d)f(do)s(es)g(not)h(necessarily)f(require) f(a)i(fourth)212 4434 y(observ)-5 b(ation,)30 b(though)h(it)e(can)i(b)s (e)f(used)f(to)j(\014nd)c(a)j(b)s(etter)g(in)m(terp)s(olation)d(of)j (the)f(initial)e(co)s(ordinates.)212 4720 y Fm(3)135 b(A)44 b(comparison)i(and)e(an)h(application)h(of)f(the)h(three)f (metho)t(ds)212 4923 y Fn(W)-8 b(e)45 b(dev)m(ote)h(this)c(section)i (to)h(a)f(comparison)f(of)h(the)h(metho)s(ds)e(dev)m(elop)s(ed)g(b)m(y) h(Gauss,)g(Laplace)g(and)212 5036 y(Mossotti,)33 b(stressing)e(the)h (main)e(di\013erences)h(whic)m(h)g(mak)m(e)h(eac)m(h)h(tec)m(hnique)f (p)s(eculiar)d(\(here)j(w)m(e)g(concen-)212 5149 y(trate)27 b(only)e(on)h(the)g(metho)s(d)f(b)m(y)h(Mossotti)h(based)e(on)h(3)g (observ)-5 b(ations,)26 b(see)h(section)f(2.3\).)h(W)-8 b(e)27 b(discuss)d(also)212 5262 y(an)30 b(application)f(of)i(the)f (three)h(metho)s(ds)e(to)j(a)e(sp)s(eci\014c)f(sample,)h(pro)m(vided)f (b)m(y)h(the)h(asteroid)f(\(3\))i(Juno.)2033 5964 y(11)p eop %%Page: 12 12 12 11 bop 212 386 a Fg(3.1)112 b(A)37 b(comparison)g(of)h(the)f(metho)s (ds)212 558 y Fn(W)-8 b(e)28 b(list)e(b)s(elo)m(w)h(the)g(main)f (discrepancies)f(that)j(w)m(e)g(ha)m(v)m(e)g(found)e(comparing)g(the)i (metho)s(ds)e(dev)m(elop)s(ed)g(b)m(y)212 671 y(Gauss,)31 b(Laplace)f(and)g(Mossotti.)212 897 y Fj(i)p Fn(\))e(In)e(the)h(metho)s (ds)f(of)h(Gauss)g(and)f(Mossotti)i(of)f(section)g(2.3)h(the)f(v)m (ectors)c Fj(~)-39 b(a)2890 911 y Fh(1)2929 897 y Fn(,)22 b Fj(~)-40 b(a)3029 911 y Fh(2)3069 897 y Fn(,)21 b Fj(~)-39 b(a)3169 911 y Fh(3)3235 897 y Fn(joining)25 b(the)i(Sun)f(to)212 1010 y(the)j(p)s(oin)m(t)f Fj(O)k Fn(\(where)d(the)g(observ)-5 b(ations)28 b(are)h(p)s(erformed\))f(need)h(not)g(to)h(b)s(e)e (coplanar.)h(On)f(the)h(con)m(trary)-8 b(,)212 1123 y(the)27 b(metho)s(d)f(of)h(Laplace)f(and)g(that)h(of)g(Mossotti)h(of)e(section) h(2.4)h(require)d(that)i(the)g(helio)s(cen)m(tric)e(p)s(osition)212 1236 y(v)m(ectors)32 b(of)f(the)g(observ)m(er)g(are)g(coplanar,)g (since)f(b)s(oth)g(tec)m(hniques)g(start)i(with)d(the)i(equations)g(of) g(motion)212 1348 y(in)e(the)i(form)f(\(2.10\))i(and)e(\(2.15\),)j (whic)m(h)c(de\014ne)h(a)g(Keplerian)f(solution)g(as)h(a)h(conic)f(in)f (a)i(\014xed)f(plane.)212 1574 y Fj(ii)p Fn(\))40 b(In)e(Laplace)h (metho)s(d,)f(the)h(mass)g(and)f(the)h(radius)e(of)i(the)g(Earth)g(are) g(set)g(to)h(zero.)g(In)e(particular,)212 1687 y(in)27 b(order)g(to)i(obtain)e(more)h(ph)m(ysical)f(results,)f(one)j(should)c (mo)s(dify)i(the)h(equations)f(of)h(motion)g(as)g(follo)m(ws.)212 1800 y(Let)23 b Fj(~)-39 b(a)p Fn(,)25 b Fj(~)-42 b(r)31 b Fn(b)s(e)d(the)g(helio)s(cen)m(tric)f(p)s(ositions)f(of)j(the)f (observ)m(er)h(and)e(of)i(the)f(b)s(o)s(dy)f Fj(C)7 b Fn(;)28 b(then,)g(the)g(equations)g(of)212 1913 y(motion)i(can)h(b)s(e) f(written)f(as)1347 2139 y Fj(~)-39 b(a)1401 2102 y Fe(00)1469 2139 y Fn(=)25 b Fl(\000)p Fn(\(1)20 b(+)g Fj(\026)1882 2153 y Fi(E)1942 2139 y Fn(\))2001 2078 y Fj(~)-39 b(a)p 1987 2118 88 4 v 1987 2201 a(a)2035 2175 y Fh(3)2115 2139 y Fj(;)194 b(~)-42 b(r)2411 2102 y Fe(00)2478 2139 y Fn(=)25 b Fl(\000)2672 2078 y Fj(~)-42 b(r)p 2655 2118 83 4 v 2655 2201 a(r)2699 2175 y Fh(3)2778 2139 y Fj(;)212 2390 y Fn(where)33 b Fj(\026)533 2404 y Fi(E)626 2390 y Fn(denotes)i(the)f(mass{ratio)g(of)g(the)g(Earth)f(and)g(of)h(the)g (Sun.)f(Let)h Fj(\032)p Fn(\()p Fj(t)p Fn(\))3071 2366 y Fj(~)3081 2390 y(b)q Fn(\()p Fj(t)p Fn(\))g(b)s(e)f(the)h(geo)s(cen)m (tric)212 2503 y(p)s(osition)29 b(of)i Fj(C)7 b Fn(,)31 b(with)e Fj(\032)p Fn(\()p Fj(t)p Fn(\))j(b)s(eing)d(the)i(distance)g (at)h(time)e Fj(t)h Fn(b)s(et)m(w)m(een)h(the)f(Earth)f(and)h Fj(C)7 b Fn(.)30 b(Consequen)m(tly)-8 b(,)212 2616 y(one)31 b(should)d(tak)m(e)k(\(compare)f(with)e(\(B.61\)\))904 2863 y Fj(\032)c Fn(=)1082 2801 y Fj(d)1129 2815 y Fh(1)p 1082 2842 87 4 v 1102 2925 a Fj(d)1179 2863 y Fn(\()1243 2801 y(1)p 1224 2842 83 4 v 1224 2925 a Fj(r)1268 2899 y Fh(3)1337 2863 y Fl(\000)20 b Fn(\(1)h(+)f Fj(\026)1675 2877 y Fi(E)1734 2863 y Fn(\))1801 2801 y(1)p 1779 2842 88 4 v 1779 2925 a Fj(a)1827 2899 y Fh(3)1877 2863 y Fn(\))31 b Fj(;)197 b(\032)2212 2825 y Fe(0)2261 2863 y Fn(=)2367 2801 y Fj(d)2414 2815 y Fh(2)p 2367 2842 87 4 v 2386 2925 a Fj(d)2463 2863 y Fn(\()2527 2801 y(1)p 2508 2842 83 4 v 2508 2925 a Fj(r)2552 2899 y Fh(3)2622 2863 y Fl(\000)20 b Fn(\(1)h(+)f Fj(\026)2960 2877 y Fi(E)3019 2863 y Fn(\))3085 2801 y(1)p 3064 2842 88 4 v 3064 2925 a Fj(a)3112 2899 y Fh(3)3162 2863 y Fn(\))30 b Fj(;)212 3114 y Fn(where)g Fj(d)c Fn(=)634 3090 y Fj(~)644 3114 y(b)20 b Fl(^)774 3090 y Fj(~)784 3114 y(b)823 3081 y Fe(0)866 3114 y Fl(\001)901 3090 y Fj(~)911 3114 y(b)950 3081 y Fe(00)993 3114 y Fn(,)30 b Fj(d)1095 3128 y Fh(1)1161 3114 y Fn(=)24 b Fl(\000)1317 3090 y Fj(~)1327 3114 y(b)c Fl(^)1457 3090 y Fj(~)1467 3114 y(b)1506 3081 y Fe(0)1550 3114 y Fl(\001)15 b Fj(~)-40 b(a)p Fn(,)31 b Fj(d)1746 3128 y Fh(2)1811 3114 y Fn(=)25 b Fl(\000)1988 3078 y Fh(1)p 1988 3093 36 4 v 1988 3145 a(2)2022 3090 y Fj(~)2033 3114 y(b)20 b Fl(^)15 b Fj(~)-40 b(a)20 b Fl(\001)2276 3090 y Fj(~)2286 3114 y(b)2325 3081 y Fe(00)2368 3114 y Fn(.)212 3340 y Fj(iii)p Fn(\))33 b(The)f(basic)f(di\016cult)m(y)g (relies)g(on)h(\014nding)d(the)k(\014rst)e(appro)m(ximation)g Fl(C)2843 3354 y Fh(0)2914 3340 y Fn(of)i(the)f(conic)g(section.)g (Once)212 3452 y(this)e(problem)f(is)g(solv)m(ed,)i(Gauss)g(metho)s(d)f (allo)m(ws)g(to)h(obtain)f(a)h(b)s(etter)g(appro)m(ximation)f Fl(C)3402 3466 y Fi(n)3479 3452 y Fn(b)m(y)h(iterating)212 3565 y(the)g(Gauss)f(map.)212 3791 y Fj(iv)s Fn(\))42 b(Let)d Fj(~)-42 b(r)582 3805 y Fh(2)664 3791 y Fl(\021)40 b Fj(~)-42 b(r)s Fn(\()p Fj(t)890 3805 y Fh(2)930 3791 y Fn(\),)38 b Fj(~)-42 b(v)1075 3805 y Fh(2)1158 3791 y Fl(\021)40 b Fj(~)-42 b(r)1356 3758 y Fe(0)1380 3791 y Fn(\()p Fj(t)1448 3805 y Fh(2)1487 3791 y Fn(\),)42 b(with)e Fj(r)1848 3805 y Fh(2)1887 3791 y Fn(,)i Fj(v)1998 3805 y Fh(2)2078 3791 y Fn(denoting)f(the)g(corresp)s(onding)e (lengths.)i(Let)g Fj(s)3791 3805 y Fh(2)3874 3791 y Fl(\021)209 3904 y Fj(~)-42 b(r)253 3918 y Fh(2)315 3904 y Fl(\001)18 b Fj(~)-41 b(v)406 3918 y Fh(2)478 3904 y Fn(and)33 b(denote)g(b)m(y)g Fj(T)1135 3918 y Fh(1)1204 3904 y Fl(\021)d Fj(T)13 b Fn(\()p Fj(r)1447 3918 y Fh(2)1486 3904 y Fj(;)i(v)1570 3918 y Fh(2)1610 3904 y Fj(;)g(s)1693 3918 y Fh(2)1732 3904 y Fj(;)g Fl(\000)p Fj(t)1876 3918 y Fh(12)1951 3904 y Fn(\),)34 b Fj(T)2098 3918 y Fh(3)2167 3904 y Fl(\021)29 b Fj(T)13 b Fn(\()p Fj(r)2409 3918 y Fh(2)2449 3904 y Fj(;)i(v)2533 3918 y Fh(2)2573 3904 y Fj(;)g(s)2656 3918 y Fh(2)2695 3904 y Fj(;)g(t)2768 3918 y Fh(23)2843 3904 y Fn(\),)34 b Fj(V)2990 3918 y Fh(1)3059 3904 y Fl(\021)29 b(\000)p Fj(V)20 b Fn(\()p Fj(r)3379 3918 y Fh(2)3419 3904 y Fj(;)15 b(v)3503 3918 y Fh(2)3543 3904 y Fj(;)g(s)3626 3918 y Fh(2)3665 3904 y Fj(;)g Fl(\000)p Fj(t)3809 3918 y Fh(12)3884 3904 y Fn(\),)212 4017 y Fj(V)265 4031 y Fh(3)330 4017 y Fl(\021)25 b Fj(V)20 b Fn(\()p Fj(r)575 4031 y Fh(2)615 4017 y Fj(;)15 b(v)699 4031 y Fh(2)739 4017 y Fj(;)g(s)822 4031 y Fh(2)861 4017 y Fj(;)g(t)934 4031 y Fh(23)1009 4017 y Fn(\),)30 b Fj(V)1152 4031 y Fh(2)1217 4017 y Fl(\021)25 b Fj(T)1366 4031 y Fh(1)1405 4017 y Fj(V)1458 4031 y Fh(3)1517 4017 y Fn(+)18 b Fj(T)1659 4031 y Fh(3)1698 4017 y Fj(V)1751 4031 y Fh(1)1791 4017 y Fn(,)30 b(where)f Fj(t)2141 4031 y Fi(pq)2239 4017 y Fn(=)c Fj(t)2368 4031 y Fi(q)2425 4017 y Fl(\000)18 b Fj(t)2547 4031 y Fi(p)2587 4017 y Fn(.)29 b(With)h(resp)s(ect)f(to)h (p)s(oin)m(t)f Fj(iii)p Fn(\))i(ab)s(o)m(v)m(e,)212 4130 y(in)i(the)i(metho)s(d)f(of)g(Mossotti)i(\(see)f(section)g(2.3\))g(a)g (b)s(etter)g(appro)m(ximation)e(is)h(obtained)f(considering)g(a)212 4243 y(larger)d(n)m(um)m(b)s(er)f(of)i(terms)f(in)f(the)i(T)-8 b(a)m(ylor)30 b(expansion)g(of)g(the)h(functions)e Fj(T)2834 4257 y Fh(1)2873 4243 y Fn(,)i Fj(T)2982 4257 y Fh(3)3021 4243 y Fn(,)g Fj(V)3130 4257 y Fh(1)3169 4243 y Fn(,)g Fj(V)3278 4257 y Fh(2)3317 4243 y Fn(,)g Fj(V)3426 4257 y Fh(3)3465 4243 y Fn(.)212 4469 y Fj(v)s Fn(\))25 b(The)f(metho)s(d)g (of)h(Mossotti)g(\(section)h(2.4\))g(can)e(b)s(e)g(in)m(terpreted)g(as) h(an)f(attempt)i(to)f(\014nd)e(a)i(\014rst)f(appro)m(x-)212 4582 y(imation)32 b(for)g(the)h(angular)f(momen)m(tum)43 b Fj(~)-55 b(m)o Fn(,)33 b(de\014ning)e(the)i(plane)f(and)g(the)h (parameter)g(of)g(the)g(unkno)m(wn)212 4694 y(orbit.)e(As)g(remark)m (ed)h(b)m(y)g(Gauss)f(\([3)q(]\),)h(the)g(main)f(no)m(v)m(elt)m(y)h(of) g(this)f(metho)s(d,)g(as)g(a)h(b)m(ypro)s(duct)f(of)g(taking)212 4807 y(one)37 b(extra)g(observ)-5 b(ation,)36 b(is)f(the)h(fact)h(that) g(one)g(m)m(ust)f(solv)m(e)g(t)m(w)m(o)i(linear)c(equations)i(\(and)g (a)h(quadratic)212 4920 y(equation)29 b(for)g(the)h(unkno)m(wn)e (distance,)h(see)h(\(2.27\)\))i(instead)d(of)g(one)h(nonlinear)d (equation)j(lik)m(e)e(in)g(Gauss)212 5033 y(and)j(Laplace)g(metho)s (ds.)g(Ho)m(w)m(ev)m(er,)j(con)m(trary)e(to)g(Gauss)f(and)g(Laplace)g (metho)s(ds,)g(the)h(neglected)f(terms)212 5146 y(of)39 b(the)g(linear)f(equations)g(migh)m(t)h(con)m(tribute)g(remark)-5 b(ably)37 b(to)j(the)f(determination)f(of)h(the)g(motion,)g(so)212 5259 y(that)31 b(exp)s(erimen)m(tal)e(errors)h(could)g(strongly)f (in\015uence)g(the)i(solution.)212 5485 y Fj(v)s(i)p Fn(\))42 b(In)d(some)i(sense)g(one)g(could)f(sa)m(y)h(that)g(Laplace)g (and)f(Mossotti)h(get)h(a)f(\014rst)f(go)s(o)s(d)g(appro)m(ximation) 2033 5964 y(12)p eop %%Page: 13 13 13 12 bop 212 386 a Fn(and)37 b(stop)h(there;)h(Gauss)f(also)g(\014nds) e(a)i(\014rst)f(go)s(o)s(d)h(appro)m(ximation)f(and)g(then)h(he)g (impro)m(v)m(es)f(it)h(inde\014-)212 499 y(nitely)c(\(actually)i(only)e (three)i(iteration)f(steps)h(are)f(usually)f(su\016cien)m(t)h(to)h (obtain)f(v)m(ery)h(precise)f(orbital)212 612 y(data\).)212 785 y(W)-8 b(e)33 b(notice)g(that)g(iterativ)m(e)f(metho)s(ds)g(can)g (b)s(e)f(applied)f(also)i(to)h(the)g(algorithms)e(dev)m(elop)s(ed)g(b)m (y)h(Laplace)212 898 y(and)37 b(Mossotti,)i(as)e(describ)s(ed)f(in)g (the)i(follo)m(wing)e(paragraph)h(\(w)m(e)h(omit)f(this)g(part)g(for)g (the)h(metho)s(d)f(of)212 1011 y(Mossotti)31 b(based)f(on)h(four)e (observ)-5 b(ations\).)212 1365 y Fg(3.2)112 b(Iterations)37 b(of)g(the)h(algorithms)212 1537 y Fn(In)27 b(this)g(section)h(w)m(e)h (illustrate)d(ho)m(w)i(iterativ)m(e)g(metho)s(ds)f(can)i(b)s(e)e (applied)f(also)h(to)i(the)f(algorithms)f(dev)m(el-)212 1650 y(op)s(ed)h(b)m(y)h(Laplace)g(and)f(Mossotti.)h(W)-8 b(e)30 b(omit)f(the)g(complete)g(details,)f(since)g(the)h(pro)s(cedure) e(is)h(v)m(ery)h(close)212 1763 y(to)i(that)g(adopted)g(b)m(y)f(Gauss)g (\(see)i(App)s(endix)27 b(A\).)212 1935 y(Let)36 b Fj(\025)433 1950 y Fi(k)512 1935 y Fn(and)f Fj(\014)745 1950 y Fi(k)824 1935 y Fn(b)s(e)g(the)h(geo)s(cen)m(tric)h(longitude)e(and)g(latitude)g (of)h Fj(C)42 b Fn(at)37 b(times)e Fj(t)3095 1950 y Fi(k)3138 1935 y Fn(,)h(for)g Fj(k)h Fn(=)d(1)p Fj(;)15 b Fn(2)p Fj(;)g Fn(3.)39 b(F)-8 b(or)212 2048 y(suitable)29 b(functions)g Fj(R)1012 2062 y Fh(1)1051 2048 y Fn(,)i Fj(R)1176 2062 y Fh(3)1215 2048 y Fn(,)g Fj(S)1327 2062 y Fh(1)1366 2048 y Fn(,)g Fj(S)1478 2062 y Fh(3)1517 2048 y Fn(,)f(w)m(e)h(can)g (write)e Fj(\025)2158 2015 y Fe(0)2158 2071 y Fh(2)2198 2048 y Fn(,)i Fj(\025)2307 2015 y Fe(00)2307 2071 y Fh(2)2349 2048 y Fn(,)g(as)901 2274 y Fj(\025)954 2237 y Fe(0)954 2297 y Fh(2)1077 2274 y Fn(=)83 b Fl(\000)1380 2213 y Fj(t)1413 2227 y Fh(23)p 1312 2253 246 4 v 1312 2336 a Fj(t)1345 2350 y Fh(12)1449 2336 y Fj(t)1482 2350 y Fh(13)1567 2274 y Fn(\()p Fj(\025)1655 2288 y Fh(1)1715 2274 y Fl(\000)19 b Fj(R)1874 2288 y Fh(1)1914 2274 y Fn(\))h Fl(\000)2070 2213 y Fj(t)2103 2227 y Fh(12)2198 2213 y Fl(\000)g Fj(t)2322 2227 y Fh(23)p 2070 2253 327 4 v 2111 2336 a Fj(t)2144 2350 y Fh(12)2249 2336 y Fj(t)2282 2350 y Fh(23)2407 2274 y Fj(\025)2460 2288 y Fh(2)2519 2274 y Fn(+)2689 2213 y Fj(t)2722 2227 y Fh(12)p 2620 2253 246 4 v 2620 2336 a Fj(t)2653 2350 y Fh(13)2758 2336 y Fj(t)2791 2350 y Fh(23)2875 2274 y Fn(\()p Fj(\025)2963 2288 y Fh(3)3023 2274 y Fl(\000)g Fj(R)3183 2288 y Fh(3)3223 2274 y Fn(\))898 2503 y Fj(\025)951 2466 y Fe(00)951 2526 y Fh(2)1077 2503 y Fn(=)1340 2442 y(2)p 1240 2482 V 1240 2566 a Fj(t)1273 2580 y Fh(12)1378 2566 y Fj(t)1411 2580 y Fh(13)1496 2503 y Fn(\()p Fj(\025)1584 2517 y Fh(1)1644 2503 y Fl(\000)g Fj(R)1804 2517 y Fh(1)1843 2503 y Fn(\))h Fl(\000)2100 2442 y Fn(2)p 2000 2482 V 2000 2566 a Fj(t)2033 2580 y Fh(12)2138 2566 y Fj(t)2171 2580 y Fh(23)2255 2503 y Fj(\025)2308 2517 y Fh(2)2368 2503 y Fn(+)2569 2442 y(2)p 2469 2482 V 2469 2566 a Fj(t)2502 2580 y Fh(13)2606 2566 y Fj(t)2639 2580 y Fh(23)2724 2503 y Fn(\()p Fj(\025)2812 2517 y Fh(3)2872 2503 y Fl(\000)f Fj(R)3032 2517 y Fh(3)3071 2503 y Fn(\))212 2734 y(and)k(similarly)e (for)j Fj(\014)940 2701 y Fe(0)935 2758 y Fh(2)999 2734 y Fn(and)g Fj(\014)1227 2701 y Fe(00)1222 2758 y Fh(2)1294 2734 y Fn(with)f Fj(\014)1547 2748 y Fi(j)1608 2734 y Fn(replacing)g Fj(\025)2045 2748 y Fi(j)2106 2734 y Fn(and)h(with)e (some)j(other)f(functions)e Fj(S)3376 2748 y Fh(1)3415 2734 y Fn(,)j Fj(S)3522 2748 y Fh(3)3586 2734 y Fn(replacing)212 2858 y Fj(R)281 2872 y Fh(1)321 2858 y Fn(,)36 b Fj(R)451 2872 y Fh(3)490 2858 y Fn(.)g(Moreo)m(v)m(er,)i(let)1108 2834 y Fj(~)1118 2858 y(b)1157 2825 y Fe(0)1157 2881 y Fh(2)1197 2858 y Fn(,)1248 2834 y Fj(~)1258 2858 y(b)1297 2825 y Fe(00)1297 2881 y Fh(2)1375 2858 y Fn(b)s(e)d(the)h(\014rst)g (and)f(second)h(deriv)-5 b(ativ)m(es)35 b(at)i(time)e Fj(t)g Fn(=)f Fj(t)3334 2872 y Fh(2)3409 2858 y Fn(of)3508 2834 y Fj(~)3518 2858 y(b)g Fn(=)3686 2834 y Fj(~)3697 2858 y(b)p Fn(\()p Fj(t)p Fn(\))h Fl(\021)212 2971 y Fn(\()p Fj(b)286 2985 y Fh(1)326 2971 y Fn(\()p Fj(t)p Fn(\))p Fj(;)15 b(b)508 2985 y Fh(2)548 2971 y Fn(\()p Fj(t)p Fn(\))p Fj(;)g(b)730 2985 y Fh(3)771 2971 y Fn(\()p Fj(t)p Fn(\)\))26 b(=)f(\(cos)16 b Fj(\025)p Fn(\()p Fj(t)p Fn(\))f(cos)i Fj(\014)5 b Fn(\()p Fj(t)p Fn(\))p Fj(;)15 b Fn(sin)g Fj(\025)p Fn(\()p Fj(t)p Fn(\))g(cos)h Fj(\014)5 b Fn(\()p Fj(t)p Fn(\))p Fj(;)15 b Fn(sin)g Fj(\014)5 b Fn(\()p Fj(t)p Fn(\)\).)32 b(Let)1137 3199 y Fj(h)p Fn(\()p Fj(\032)p Fn(\))26 b Fl(\021)f(j)-6 b Fj(~)-39 b(a)1501 3213 y Fh(2)1561 3199 y Fn(+)20 b Fj(\032)1689 3175 y(~)1699 3199 y(b)1738 3213 y Fh(2)1778 3199 y Fl(j)1803 3162 y Fh(3)1873 3199 y Fj(;)197 b(L)p Fn(\()p Fj(x;)15 b(\032)p Fn(\))26 b Fl(\021)f Fj(x)p Fn(\()2648 3138 y(1)p 2585 3178 171 4 v 2585 3262 a Fj(h)p Fn(\()p Fj(\032)p Fn(\))2786 3199 y Fl(\000)2908 3138 y Fn(1)p 2887 3178 88 4 v 2887 3262 a Fj(a)2935 3235 y Fh(3)2984 3199 y Fn(\))693 b(\(3.29\))212 3439 y(and)39 b(let)h Fl(Z)612 3406 y Fe(0)675 3439 y Fn(b)s(e)f(the)g(set)i(of)e(\() p Fj(R)1341 3453 y Fh(1)1381 3439 y Fj(;)15 b(R)1490 3453 y Fh(3)1530 3439 y Fj(;)g(S)1626 3453 y Fh(1)1666 3439 y Fj(;)g(S)1762 3453 y Fh(3)1801 3439 y Fj(;)g(\032)p Fn(\),)41 b(suc)m(h)e(that)h Fj(\032)h Fn(=)g Fj(L)p Fn(\()p Fj(d)2753 3453 y Fh(1)2792 3439 y Fj(=d;)15 b(\032)p Fn(\).)42 b(Finally)-8 b(,)38 b(let)i Fl(A)3623 3406 y Fe(0)3685 3439 y Fn(b)s(e)f(the)212 3552 y(subset)30 b(of)g Fl(Z)667 3519 y Fe(0)721 3552 y Fn(suc)m(h)g(that)h(the)g(follo) m(wing)e(conditions)f(are)j(v)m(eri\014ed:)212 3778 y Fj(i)p Fn(\))g Fj(d)26 b Fl(6)p Fn(=)f(0;)212 3891 y Fj(ii)p Fn(\))31 b(if)c Fj(~)-42 b(r)465 3905 y Fh(2)529 3891 y Fn(=)20 b Fj(~)-40 b(a)673 3905 y Fh(2)733 3891 y Fn(+)20 b Fj(\032)871 3905 y Fh(2)900 3867 y Fj(~)910 3891 y(b)949 3905 y Fh(2)989 3891 y Fn(,)27 b Fj(~)-42 b(v)1088 3905 y Fh(2)1153 3891 y Fn(=)19 b Fj(~)-39 b(a)1297 3858 y Fe(0)1297 3914 y Fh(2)1357 3891 y Fn(+)20 b Fj(\032)1495 3858 y Fe(0)1495 3914 y Fh(2)1524 3867 y Fj(~)1534 3891 y(b)1573 3905 y Fh(2)1633 3891 y Fn(+)g Fj(\032)1771 3905 y Fh(2)1800 3867 y Fj(~)1810 3891 y(b)1849 3858 y Fe(0)1849 3914 y Fh(2)1889 3891 y Fn(,)30 b(then)d Fj(~)-42 b(r)2192 3905 y Fh(2)2252 3891 y Fl(^)16 b Fj(~)-41 b(v)2377 3905 y Fh(2)2441 3891 y Fl(6)p Fn(=)2530 3872 y Fj(~)2537 3891 y Fn(0)q(;)212 4004 y Fj(iii)p Fn(\))46 b(let)f Fj(t)k Fl(!)d Fj(~)-42 b(r)r Fn(\()p Fj(t)p Fn(\))46 b(b)s(e)e(the)h(solution)e(of)i(the)g(equations)f(of)h(motion)f(with)g (initial)e(data)g Fj(~)-42 b(r)s Fn(\()p Fj(t)3595 4018 y Fh(2)3634 4004 y Fn(\))50 b(=)c Fj(~)-42 b(r)3880 4018 y Fh(2)3919 4004 y Fn(,)209 4117 y Fj(~)g(v)s Fn(\()p Fj(t)327 4131 y Fh(2)367 4117 y Fn(\))26 b(=)21 b Fj(~)-41 b(v)568 4131 y Fh(2)607 4117 y Fn(;)31 b(then,)f(one)h(has)c Fj(~)-42 b(r)r Fn(\()p Fj(t)1335 4131 y Fh(1)1375 4117 y Fn(\))20 b Fl(\000)15 b Fj(~)-40 b(a)1569 4131 y Fh(1)1634 4117 y Fl(6)p Fn(=)1723 4097 y Fj(~)1730 4117 y Fn(0)31 b(and)c Fj(~)-42 b(r)r Fn(\()p Fj(t)2094 4131 y Fh(3)2134 4117 y Fn(\))20 b Fl(\000)15 b Fj(~)-40 b(a)2328 4131 y Fh(3)2393 4117 y Fl(6)p Fn(=)2482 4097 y Fj(~)2489 4117 y Fn(0;)212 4230 y Fj(iv)s Fn(\))43 b(let)509 4206 y(~)512 4230 y Fj(b)551 4244 y Fh(1)636 4230 y Fl(\021)i Fn(\()m Fj(~)-42 b(r)s Fn(\()p Fj(t)899 4244 y Fh(1)938 4230 y Fn(\))29 b Fl(\000)22 b Fj(~)-39 b(a)1149 4244 y Fh(1)1188 4230 y Fn(\))p Fj(=)p Fl(j)m Fj(~)d(r)t Fn(\()p Fj(t)1406 4244 y Fh(1)1445 4230 y Fn(\))29 b Fl(\000)22 b Fj(~)-39 b(a)1656 4244 y Fh(1)1695 4230 y Fl(j)p Fn(,)1785 4206 y(~)1788 4230 y Fj(b)1827 4244 y Fh(3)1912 4230 y Fl(\021)45 b Fn(\()m Fj(~)-42 b(r)s Fn(\()p Fj(t)2175 4244 y Fh(3)2215 4230 y Fn(\))28 b Fl(\000)23 b Fj(~)-40 b(a)2425 4244 y Fh(3)2465 4230 y Fn(\))p Fj(=)p Fl(j)m Fj(~)e(r)s Fn(\()p Fj(t)2682 4244 y Fh(3)2722 4230 y Fn(\))29 b Fl(\000)22 b Fj(~)-40 b(a)2932 4244 y Fh(3)2972 4230 y Fl(j)p Fn(;)43 b(denote)g(b)m(y)3512 4206 y(~)3508 4230 y Fj(\025)3561 4244 y Fh(1)3601 4230 y Fn(,)3681 4206 y(~)3668 4230 y Fj(\014)3719 4244 y Fh(1)3759 4230 y Fn(,)3830 4206 y(~)3827 4230 y Fj(\025)3880 4244 y Fh(3)3919 4230 y Fn(,)225 4319 y(~)212 4343 y Fj(\014)263 4357 y Fh(3)303 4343 y Fn(,)35 b(the)h(longitudes)d(and)i(latitudes)f (of)1630 4319 y(~)1633 4343 y Fj(b)1672 4357 y Fh(1)1712 4343 y Fn(,)1769 4319 y(~)1772 4343 y Fj(b)1811 4357 y Fh(3)1851 4343 y Fn(,)h(resp)s(ectiv)m(ely)-8 b(.)35 b(Finally)-8 b(,)34 b(let)2917 4320 y(~)2897 4343 y Fj(R)2966 4357 y Fi(i)3028 4343 y Fn(=)3136 4319 y(~)3132 4343 y Fj(\025)3185 4357 y Fi(i)3237 4343 y Fl(\000)23 b Fj(\025)3384 4357 y Fi(i)3435 4343 y Fn(+)g Fj(R)3598 4357 y Fi(i)3662 4343 y Fn(and)34 b(let)212 4456 y Fj(S)268 4470 y Fi(i)321 4456 y Fn(=)430 4432 y(~)417 4456 y Fj(\014)468 4470 y Fi(i)517 4456 y Fl(\000)20 b Fj(\014)659 4470 y Fi(i)708 4456 y Fn(+)g Fj(S)855 4470 y Fi(i)913 4456 y Fn(for)30 b Fj(i)c Fn(=)f(1)p Fj(;)15 b Fn(3.)31 b(Then,)f(there)h(exists)38 b(~)-53 b Fj(\032)25 b Fl(2)g Fo(R)2374 4470 y Fh(+)2433 4456 y Fn(,)31 b(suc)m(h)f(that)h(\()2946 4433 y(~)2926 4456 y Fj(R)2995 4470 y Fh(1)3035 4456 y Fj(;)3095 4433 y Fn(~)3075 4456 y Fj(R)3144 4470 y Fh(3)3183 4456 y Fj(;)3239 4433 y Fn(~)3223 4456 y Fj(S)3279 4470 y Fh(1)3319 4456 y Fj(;)3375 4433 y Fn(~)3359 4456 y Fj(S)3415 4470 y Fh(3)3455 4456 y Fj(;)23 b Fn(~)-53 b Fj(\032)p Fn(\))26 b Fl(2)e(Z)3761 4423 y Fe(0)3785 4456 y Fn(.)212 4688 y(De\014ne)31 b(the)f(map)517 4878 y(\()p Fj(R)621 4892 y Fh(1)661 4878 y Fj(;)15 b(R)770 4892 y Fh(3)810 4878 y Fj(;)g(S)906 4892 y Fh(1)945 4878 y Fj(;)g(S)1041 4892 y Fh(3)1081 4878 y Fj(;)g(\032)p Fn(\))26 b Fl(2)f(A)1388 4841 y Fe(0)1436 4878 y Fl(!)g Fn(\()1607 4855 y(~)1587 4878 y Fj(R)1656 4892 y Fh(1)1696 4878 y Fj(;)1756 4855 y Fn(~)1736 4878 y Fj(R)1805 4892 y Fh(3)1845 4878 y Fj(;)1900 4855 y Fn(~)1885 4878 y Fj(S)1941 4892 y Fh(1)1980 4878 y Fj(;)2036 4855 y Fn(~)2020 4878 y Fj(S)2076 4892 y Fh(3)2116 4878 y Fj(;)f Fn(~)-54 b Fj(\032)p Fn(\))26 b Fl(\021)f(F)2434 4841 y Fe(0)2457 4878 y Fn(\()p Fj(R)2561 4892 y Fh(1)2601 4878 y Fj(;)15 b(R)2710 4892 y Fh(3)2750 4878 y Fj(;)g(S)2846 4892 y Fh(1)2886 4878 y Fj(;)g(S)2982 4892 y Fh(3)3021 4878 y Fj(;)g(\032)p Fn(\))26 b Fl(2)f(Z)3328 4841 y Fe(0)3382 4878 y Fj(:)305 b Fn(\(3.30\))212 5068 y(One)30 b(easily)g(sees)h(that)g(\()p Fj(R)1139 5082 y Fh(1)1179 5068 y Fj(;)15 b(R)1288 5082 y Fh(3)1328 5068 y Fj(;)g(S)1424 5082 y Fh(1)1464 5068 y Fj(;)g(S)1560 5082 y Fh(3)1599 5068 y Fj(;)g(\032)p Fn(\))31 b(pro)m(vides)f(a)h (solution)e(of)i(the)g(problem,)e(if)h(and)g(only)g(if)f(it)h(is)g(a) 212 5181 y(\014xed)g(p)s(oin)m(t)f(of)i(the)f(map)g(\(3.30\).)j (Therefore)d(w)m(e)h(ha)m(v)m(e)h(the)e(follo)m(wing)212 5379 y Fo(Prop)s(osition)36 b(3.1)46 b Fk(L)-5 b(et)27 b Fj(\032)1154 5393 y Fh(0)1219 5379 y Fk(b)-5 b(e)26 b(such)g(that)i Fn(\(0)p Fj(;)15 b Fn(0)p Fj(;)g Fn(0)p Fj(;)g Fn(0)p Fj(;)g(\032)2126 5393 y Fh(0)2169 5379 y Fn(\))25 b Fl(2)g(A)2388 5346 y Fe(0)2411 5379 y Fk(.)h(L)-5 b(et)26 b Fj(N)36 b Fk(b)-5 b(e)26 b(such)h(that)g(the)f(map)i Fl(F)3621 5346 y Fe(0)3670 5379 y Fk(de\014ne)-5 b(d)212 5492 y(in)31 b(\(3.30\))h(c)-5 b(an)31 b(b)-5 b(e)31 b(iter)-5 b(ate)g(d)32 b Fj(N)41 b Fk(times)31 b(starting)h(with)f Fn(\(0)p Fj(;)15 b Fn(0)p Fj(;)g Fn(0)p Fj(;)g Fn(0)p Fj(;)g(\032)2500 5506 y Fh(0)2544 5492 y Fn(\))31 b Fk(and)g(let)g Fn(\()p Fj(R)3015 5459 y Fi(n)3014 5515 y Fh(1)3062 5492 y Fj(;)15 b(R)3172 5459 y Fi(n)3171 5515 y Fh(3)3219 5492 y Fj(;)g(S)3320 5459 y Fi(n)3315 5515 y Fh(1)3368 5492 y Fj(;)g(S)3469 5459 y Fi(n)3464 5515 y Fh(3)3516 5492 y Fj(;)g(\032)3603 5506 y Fi(n)3650 5492 y Fn(\))31 b Fk(b)-5 b(e)31 b(the)2033 5964 y Fn(13)p eop %%Page: 14 14 14 13 bop 212 386 a Fj(n)p Fk({th)34 b(iter)-5 b(ate)35 b(with)f(initial)g(p)-5 b(oint)35 b Fn(\(0)p Fj(;)15 b Fn(0)p Fj(;)g Fn(0)p Fj(;)g Fn(0)p Fj(;)g(\032)1828 400 y Fh(0)1871 386 y Fn(\))p Fk(.)33 b(If)h(we)f(denote)h(by)g Fj(")27 b Fl(\021)f Fj(t)2809 400 y Fh(13)2884 386 y Fk(,)33 b(then)h Fn(\()p Fj(R)3253 353 y Fi(n)3252 410 y Fh(1)3300 386 y Fj(;)15 b(R)3410 353 y Fi(n)3409 410 y Fh(3)3457 386 y Fj(;)g(S)3558 353 y Fi(n)3553 410 y Fh(1)3605 386 y Fj(;)g(S)3706 353 y Fi(n)3701 410 y Fh(3)3754 386 y Fn(\))33 b Fk(ar)-5 b(e)212 499 y(such)34 b(that)g Fj(\025)659 466 y Fe(0)659 522 y Fh(2)725 499 y Fn(=)27 b Fj(\025)876 466 y Fe(0)876 522 y Fi(n)944 499 y Fn(+)20 b Fj(O)s Fn(\()p Fj(")1184 466 y Fi(n)p Fh(+2)1322 499 y Fn(\))p Fk(,)33 b Fj(\014)1474 466 y Fe(0)1469 522 y Fh(2)1536 499 y Fn(=)26 b Fj(\014)1689 466 y Fe(0)1684 522 y Fi(n)1753 499 y Fn(+)20 b Fj(O)s Fn(\()p Fj(")1993 466 y Fi(n)p Fh(+2)2131 499 y Fn(\))p Fk(,)33 b Fj(\025)2280 466 y Fe(00)2280 522 y Fh(2)2350 499 y Fn(=)26 b Fj(\025)2500 466 y Fe(00)2500 522 y Fi(n)2568 499 y Fn(+)20 b Fj(O)s Fn(\()p Fj(")2808 466 y Fi(n)p Fh(+1)2946 499 y Fn(\))p Fk(,)34 b Fj(\014)3099 466 y Fe(00)3094 522 y Fh(2)3168 499 y Fn(=)26 b Fj(\014)3321 466 y Fe(00)3316 522 y Fi(n)3385 499 y Fn(+)20 b Fj(O)s Fn(\()p Fj(")3625 466 y Fi(n)p Fh(+1)3763 499 y Fn(\))34 b Fk(for)212 612 y Fj(n)25 b Fn(=)g(0)p Fj(;)15 b Fl(\001)g(\001)g(\001)i Fj(;)e(N)10 b Fk(.)212 825 y Fn(The)30 b(Laplace)h(algorithm)e(leads)h(to)h(the)f (follo)m(wing)f(Theorem)h(\(see)i(Prop)s(osition)c(B.1\):)212 1012 y Fo(Theorem)34 b(3.1)46 b Fk(L)-5 b(et)24 b Fn(\()p Fj(R)1087 1026 y Fh(1)1127 1012 y Fj(;)15 b(R)1236 1026 y Fh(3)1275 1012 y Fj(;)g(S)1371 1026 y Fh(1)1411 1012 y Fj(;)g(S)1507 1026 y Fh(3)1547 1012 y Fj(;)g(\032)p Fn(\))24 b Fk(b)-5 b(e)23 b(a)g(\014xe)-5 b(d)25 b(p)-5 b(oint)24 b(of)g(the)g(map)g(\(3.30\),)h(such)e(that)3410 977 y Fi(@)p 3392 992 78 4 v 3392 1044 a(@)t(\032)3479 1012 y Fj(L)p Fn(\()p Fj(d)3623 1026 y Fh(1)3663 1012 y Fj(=d;)15 b(\032)p Fn(\))27 b Fl(6)p Fn(=)212 1135 y(1)p Fk(,)35 b(wher)-5 b(e)36 b Fj(L)e Fk(is)h(de\014ne)-5 b(d)36 b(as)f(in)g(\(3.29\).)h(L)-5 b(et)35 b Fj(\032)1826 1149 y Fh(0)1900 1135 y Fk(b)-5 b(e)34 b(such)h(that)h Fn(\(0)p Fj(;)15 b Fn(0)p Fj(;)g Fn(0)p Fj(;)g Fn(0)p Fj(;)g(\032)2832 1149 y Fh(0)2875 1135 y Fn(\))30 b Fl(2)e(A)3102 1102 y Fe(0)3160 1135 y Fk(and)35 b(assume)h(that)g Fl(F)3921 1102 y Fe(0)212 1248 y Fk(c)-5 b(an)37 b(b)-5 b(e)37 b(iter)-5 b(ate)g(d)38 b Fj(N)46 b Fk(times)37 b(starting)g(with)h Fn(\(0)p Fj(;)15 b Fn(0)p Fj(;)g Fn(0)p Fj(;)g Fn(0)p Fj(;)g(\032)2159 1262 y Fh(0)2202 1248 y Fn(\))p Fk(.)36 b(If)h(the)g Fj(n)p Fk({th)g(iter)-5 b(ate)37 b Fn(\()p Fj(R)3163 1215 y Fi(n)3162 1271 y Fh(1)3210 1248 y Fj(;)15 b(R)3320 1215 y Fi(n)3319 1271 y Fh(3)3367 1248 y Fj(;)g(S)3468 1215 y Fi(n)3463 1271 y Fh(1)3516 1248 y Fj(;)g(S)3617 1215 y Fi(n)3612 1271 y Fh(3)3664 1248 y Fj(;)g(\032)3751 1262 y Fi(n)3798 1248 y Fn(\))37 b Fk(of)212 1361 y Fn(\(0)p Fj(;)15 b Fn(0)p Fj(;)g Fn(0)p Fj(;)g Fn(0)p Fj(;)g(\032)634 1375 y Fh(0)677 1361 y Fn(\))24 b Fk(is)f(such)h(that)g Fn(\()p Fj(R)1303 1328 y Fi(n)1302 1384 y Fh(1)1350 1361 y Fj(;)15 b(R)1460 1328 y Fi(n)1459 1384 y Fh(3)1507 1361 y Fj(;)g(S)1608 1328 y Fi(n)1603 1384 y Fh(1)1656 1361 y Fj(;)g(S)1757 1328 y Fi(n)1752 1384 y Fh(3)1804 1361 y Fn(\))24 b Fk(b)-5 b(elongs)24 b(to)g(a)f(suitable)h(neighb)-5 b(orho)g(o)g(d)27 b Fj(U)33 b Fk(of)24 b Fn(\()p Fj(R)3483 1375 y Fh(1)3522 1361 y Fj(;)15 b(R)3631 1375 y Fh(3)3671 1361 y Fj(;)g(S)3767 1375 y Fh(1)3807 1361 y Fj(;)g(S)3903 1375 y Fh(3)3942 1361 y Fn(\))212 1474 y Fk(for)36 b Fj(n)29 b Fn(=)g(1)p Fj(;)15 b Fl(\001)g(\001)g(\001)i Fj(;)e(N)10 b Fk(,)35 b(then)h(it)f(determines)g(a)h(c)-5 b(onic)35 b(se)-5 b(ction)36 b Fl(C)2376 1488 y Fi(n)2458 1474 y Fk(such)f(that)h Fl(C)f Fn(=)29 b Fl(C)3086 1488 y Fi(n)3155 1474 y Fn(+)21 b Fj(O)s Fn(\()p Fj(")3396 1441 y Fi(n)p Fh(+1)3534 1474 y Fn(\))p Fk(,)35 b(wher)-5 b(e)36 b Fl(C)212 1587 y Fk(is)d(the)g(c)-5 b(onic)33 b(se)-5 b(ction)33 b(asso)-5 b(ciate)g(d)35 b(to)e Fn(\()p Fj(R)1640 1601 y Fh(1)1680 1587 y Fj(;)15 b(R)1789 1601 y Fh(3)1829 1587 y Fj(;)g(S)1925 1601 y Fh(1)1965 1587 y Fj(;)g(S)2061 1601 y Fh(3)2100 1587 y Fj(;)g(\032)p Fn(\))p Fk(.)212 1774 y Fn(W)-8 b(e)44 b(describ)s(e)d(no)m(w)h(a)h (similar)d(statemen)m(t)k(whic)m(h)d(can)i(b)s(e)f(applied)e(to)j(the)g (algorithm)f(dev)m(elop)s(ed)f(b)m(y)212 1887 y(Mossotti.)i(W)-8 b(e)44 b(de\014ne)e Fl(Z)1138 1854 y Fe(00)1222 1887 y Fn(as)h(the)f(subset)g(of)h(elemen)m(ts)f(\()p Fj(h)2391 1901 y Fh(1)2431 1887 y Fj(;)15 b(h)2523 1901 y Fh(3)2564 1887 y Fj(;)g(k)2651 1901 y Fh(1)2691 1887 y Fj(;)g(k)2778 1901 y Fh(3)2818 1887 y Fj(;)g(\032)2905 1901 y Fh(2)2945 1887 y Fn(\))45 b Fl(2)g Fo(R)3209 1854 y Fh(4)3249 1887 y Fn(,)d(suc)m(h)g(that)h Fj(\032)3789 1901 y Fh(2)3874 1887 y Fn(=)212 2000 y Fj(M)10 b Fn(\()p Fj(h)397 2014 y Fh(1)437 2000 y Fj(;)15 b(h)529 2014 y Fh(3)570 2000 y Fj(;)g(k)657 2014 y Fh(1)697 2000 y Fj(;)g(k)784 2014 y Fh(3)824 2000 y Fj(;)g(\032)911 2014 y Fh(2)951 2000 y Fn(\),)33 b(where)f Fj(M)10 b Fn(\()p Fj(x;)15 b(y)s(;)g(\032)1669 2014 y Fh(2)1709 2000 y Fn(\))29 b Fl(\021)f Fj(x)22 b Fn(+)2112 1959 y Fi(y)p 2048 1979 167 4 v 2048 2032 a(h)p Fh(\()p Fi(\032)2152 2041 y Ff(2)2187 2032 y Fh(\))2224 2000 y Fn(.)33 b(Let)f Fl(A)2519 1967 y Fe(00)2594 2000 y Fn(b)s(e)f(the)i(subset)f(of)g Fl(Z)3337 1967 y Fe(00)3412 2000 y Fn(suc)m(h)g(that)h(the)212 2113 y(follo)m(wing)c(conditions)g (hold:)212 2286 y Fj(i)p Fn(\))j(F)-8 b(or)32 b(\()p Fj(h)561 2300 y Fh(1)601 2286 y Fj(;)15 b(h)693 2300 y Fh(3)734 2286 y Fj(;)g(k)821 2300 y Fh(1)861 2286 y Fj(;)g(k)948 2300 y Fh(3)988 2286 y Fj(;)g(\032)1075 2300 y Fh(2)1115 2286 y Fn(\))27 b Fl(2)f(A)1337 2253 y Fe(00)1380 2286 y Fn(,)31 b(let)g Fj(\032)1615 2300 y Fh(1)1655 2286 y Fn(,)g Fj(\032)1758 2300 y Fh(2)1798 2286 y Fn(,)g Fj(\032)1901 2300 y Fh(3)1972 2286 y Fn(b)s(e)g (de\014ned)f(as)h(in)g(\(2.20\);)i(let)c Fj(~)-42 b(r)3093 2301 y Fi(k)3162 2286 y Fn(=)21 b Fj(~)-39 b(a)3308 2301 y Fi(k)3371 2286 y Fn(+)21 b Fj(\032)3510 2301 y Fi(k)3542 2262 y Fj(~)3553 2286 y(b)3592 2301 y Fi(k)3666 2286 y Fn(and)30 b(let)212 2399 y(the)38 b(v)m(elo)s(cit)m(y)g(v)m(ector)d Fj(~)-41 b(v)1043 2413 y Fh(2)1120 2399 y Fn(b)s(e)37 b(giv)m(en)g(b)m(y)d Fj(~)-41 b(v)1673 2413 y Fh(2)1749 2399 y Fn(=)1867 2362 y Fi(T)1908 2371 y Ff(1)p 1867 2378 76 4 v 1867 2430 a Fi(V)1908 2439 y Ff(2)1950 2399 y Fj(~)f(r)1994 2413 y Fh(3)2058 2399 y Fl(\000)2164 2362 y Fi(T)2205 2371 y Ff(3)p 2164 2378 V 2164 2430 a Fi(V)2205 2439 y Ff(2)2247 2399 y Fj(~)g(r)2291 2413 y Fh(1)2330 2399 y Fn(,)38 b(with)33 b Fj(~)-42 b(r)2648 2413 y Fh(2)2712 2399 y Fl(^)21 b Fj(~)-41 b(v)2842 2413 y Fh(2)2919 2399 y Fl(6)p Fn(=)3019 2379 y Fj(~)3026 2399 y Fn(0)q(.)38 b(Let)g Fj(t)f Fl(!)3495 2377 y Fj(~)3507 2399 y Fn(~)-49 b Fj(r)r Fn(\()p Fj(t)p Fn(\))38 b(b)s(e)f(the)212 2534 y(solution)c(of)i(the)f(equations)g(of)h(motion)f(with)f(initial)f (data)g Fj(~)-42 b(r)2389 2548 y Fh(2)2428 2534 y Fn(,)31 b Fj(~)-41 b(v)2532 2548 y Fh(2)2571 2534 y Fn(;)35 b(let)2758 2513 y Fj(~)2770 2534 y Fn(~)-49 b Fj(r)2809 2548 y Fh(1)2881 2534 y Fl(\021)2976 2513 y Fj(~)2988 2534 y Fn(~)f Fj(r)s Fn(\()p Fj(t)3095 2548 y Fh(1)3135 2534 y Fn(\),)3222 2513 y Fj(~)3234 2534 y Fn(~)h Fj(r)3273 2548 y Fh(3)3344 2534 y Fl(\021)3439 2513 y Fj(~)3451 2534 y Fn(~)g Fj(r)s Fn(\()p Fj(t)3559 2548 y Fh(3)3598 2534 y Fn(\).)35 b(De\014ne)214 2623 y(~)212 2647 y Fj(k)259 2661 y Fh(1)299 2647 y Fn(,)357 2623 y(~)354 2647 y Fj(k)401 2661 y Fh(3)441 2647 y Fn(,)498 2623 y(~)497 2647 y Fj(h)549 2661 y Fh(1)589 2647 y Fn(,)645 2623 y(~)644 2647 y Fj(h)696 2661 y Fh(3)766 2647 y Fn(b)m(y)30 b(means)h(of)f(the)h(follo)m(wing)e(expressions:)1002 2894 y Fj(t)1035 2908 y Fh(12)1112 2870 y Fn(~)1109 2894 y Fj(k)1156 2908 y Fh(1)1279 2894 y Fn(=)1447 2871 y(~)1433 2894 y Fj(V)1486 2908 y Fh(1)1551 2894 y Fn(=)1658 2833 y Fl(j)t Fn(~)-49 b Fj(r)1724 2847 y Fh(1)1784 2833 y Fl(^)17 b Fj(~)-42 b(r)1906 2847 y Fh(2)1945 2833 y Fl(j)p 1656 2873 316 4 v 1656 2956 a(j)m Fj(~)g(r)1722 2970 y Fh(2)1782 2956 y Fl(^)17 b Fj(~)-42 b(v)1907 2970 y Fh(2)1947 2956 y Fl(j)2012 2894 y Fj(;)197 b(t)2267 2908 y Fh(23)2344 2870 y Fn(~)2342 2894 y Fj(k)2389 2908 y Fh(3)2454 2894 y Fn(=)2564 2871 y(~)2550 2894 y Fj(V)2603 2908 y Fh(3)2668 2894 y Fn(=)2775 2833 y Fl(j)m Fj(~)-42 b(r)2841 2847 y Fh(2)2901 2833 y Fl(^)24 b Fn(~)-49 b Fj(r)3023 2847 y Fh(3)3062 2833 y Fl(j)p 2774 2873 V 2774 2956 a(j)m Fj(~)-42 b(r)2840 2970 y Fh(2)2899 2956 y Fl(^)17 b Fj(~)-42 b(v)3024 2970 y Fh(2)3064 2956 y Fl(j)3129 2894 y Fj(;)799 3150 y Fn(1)21 b Fl(\000)976 3088 y Fj(t)1009 3055 y Fh(2)1009 3111 y(12)p 966 3129 129 4 v 966 3213 a Fn(2)p Fj(r)1055 3181 y Fh(3)1052 3237 y(2)1105 3126 y Fn(~)1104 3150 y Fj(h)1156 3164 y Fh(1)1279 3150 y Fn(=)1451 3127 y(~)1433 3150 y Fj(T)1486 3164 y Fh(1)1551 3150 y Fn(=)1657 3088 y Fl(j)t Fn(~)-49 b Fj(r)1723 3102 y Fh(1)1782 3088 y Fl(^)17 b Fj(~)-42 b(v)1907 3102 y Fh(2)1947 3088 y Fl(j)p 1657 3129 316 4 v 1657 3212 a(j)m Fj(~)g(r)1723 3226 y Fh(2)1782 3212 y Fl(^)17 b Fj(~)-42 b(v)1907 3226 y Fh(2)1947 3212 y Fl(j)2012 3150 y Fj(;)197 b Fn(1)21 b Fl(\000)2411 3088 y Fj(t)2444 3055 y Fh(2)2444 3111 y(23)p 2401 3129 129 4 v 2401 3213 a Fn(2)p Fj(r)2490 3181 y Fh(3)2487 3237 y(2)2540 3126 y Fn(~)2539 3150 y Fj(h)2591 3164 y Fh(3)2656 3150 y Fn(=)2770 3127 y(~)2752 3150 y Fj(T)2805 3164 y Fh(3)2870 3150 y Fn(=)2976 3088 y Fl(j)t Fn(~)-49 b Fj(r)3042 3102 y Fh(3)3102 3088 y Fl(^)16 b Fj(~)-41 b(v)3227 3102 y Fh(2)3266 3088 y Fl(j)p 2976 3129 316 4 v 2976 3212 a(j)m Fj(~)f(r)3042 3226 y Fh(2)3102 3212 y Fl(^)16 b Fj(~)-41 b(v)3227 3226 y Fh(2)3266 3212 y Fl(j)3332 3150 y Fj(:)212 3482 y(ii)p Fn(\))31 b(There)f(exists)39 b(~)-54 b Fj(\032)901 3496 y Fh(2)971 3482 y Fn(suc)m(h)30 b(that)h(\()1409 3458 y(~)1408 3482 y Fj(h)1460 3496 y 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Fk(;)23 b(denote)h(by)f Fn(\()p Fj(h)3313 4591 y Fi(n)3313 4647 y Fh(1)3361 4624 y Fj(;)15 b(h)3453 4591 y Fi(n)3453 4647 y Fh(3)3501 4624 y Fj(;)g(k)3591 4591 y Fi(n)3588 4647 y Fh(1)3638 4624 y Fj(;)g(k)3728 4591 y Fi(n)3725 4647 y Fh(3)3776 4624 y Fj(;)g(\032)3863 4638 y Fi(n)3910 4624 y Fn(\))212 4737 y Fk(the)30 b Fj(n)p Fk({th)g(iter)-5 b(ate)30 b(starting)h(with)f Fn(\(1)p Fj(;)15 b Fn(1)p Fj(;)g Fn(1)p Fj(;)g Fn(1)p Fj(;)g(\032)1797 4751 y Fh(0)1841 4737 y Fn(\))p Fk(.)29 b(If)h Fn(\()p Fj(h)2113 4704 y Fi(n)2113 4760 y Fh(1)2160 4737 y Fj(;)15 b(h)2252 4704 y Fi(n)2252 4760 y Fh(3)2300 4737 y Fj(;)g(k)2390 4704 y Fi(n)2387 4760 y Fh(1)2438 4737 y Fj(;)g(k)2528 4704 y Fi(n)2525 4760 y Fh(3)2575 4737 y Fn(\))26 b Fl(2)f Fj(U)10 b Fk(,)29 b(wher)-5 b(e)30 b Fj(U)40 b Fk(is)29 b(a)h(suitable)g(neigh-)212 4850 y(b)-5 b(orho)g(o)g(d)39 b(of)c Fn(\()p Fj(h)742 4864 y Fh(1)782 4850 y Fj(;)15 b(h)874 4864 y Fh(3)915 4850 y Fj(;)g(k)1002 4864 y Fh(1)1042 4850 y Fj(;)g(k)1129 4864 y Fh(3)1169 4850 y Fn(\))p Fk(,)35 b(then)h Fn(\()p Fj(h)1559 4817 y Fi(n)1559 4873 y Fh(1)1607 4850 y Fj(;)15 b(h)1699 4817 y Fi(n)1699 4873 y Fh(3)1746 4850 y Fj(;)g(k)1836 4817 y Fi(n)1833 4873 y Fh(1)1884 4850 y Fj(;)g(k)1974 4817 y Fi(n)1971 4873 y Fh(3)2021 4850 y Fj(;)g(\032)2108 4864 y Fi(n)2156 4850 y Fn(\))35 b Fk(determines)h(a)g(c)-5 b(onic)35 b(se)-5 b(ction)36 b Fl(C)3368 4864 y Fi(n)3415 4850 y Fk(,)f(which)h(is)f(r)-5 b(e-)212 4963 y(late)g(d)34 b(to)f Fl(C)38 b Fk(thr)-5 b(ough)34 b Fl(C)d Fn(=)25 b Fl(C)1172 4977 y Fi(n)1239 4963 y Fn(+)20 b Fj(O)s Fn(\()p Fj(")1479 4930 y Fi(n)p Fh(+1)1617 4963 y Fn(\))p Fk(.)212 5206 y Fg(3.3)112 b(An)38 b(application)e(to)h(Juno)212 5378 y Fn(In)31 b(his)e("Theoria)i(Motus)h(Corp)s(orum)d(Co)s(elestium) g(in)h(Sectionibus)f(Conicis)h(Solem)g(Am)m(bien)m(tium")g(\(see)212 5491 y([2)q(])g(for)f(the)h(English)d(translation\))i(Gauss)h(pro)m (vided)e(an)h(application)f(of)i(his)e(p)s(o)m(w)m(erful)g(tec)m (hnique)i(to)g(the)2033 5964 y(14)p eop %%Page: 15 15 15 14 bop 1903 441 a Fn(T)-8 b(able)30 b(1:)p 212 513 3808 4 v 262 617 a(Ep)s(o)s(c)m(h)438 b(Log)31 b(of)g(the)472 b(Earth's)30 b(longitude)98 b(Longitude)30 b(of)g Fj(C)107 b Fn(Latitude)30 b(of)g Fj(C)952 730 y Fn(Earth{Sun)g(distance)p 212 792 V 212 820 V 262 924 a(Oct.)h(5.458644)148 b(9.9996826)495 b(12)1922 891 y Fi(o)1991 924 y Fn(28')32 b(27.76")232 b(354)2755 891 y Fi(o)2795 924 y Fn(44'31.60")166 b(-4)3401 891 y Fi(o)3440 924 y Fn(59'31.06")262 1037 y(Oct.)31 b(17.421885)103 b(9.9980979)495 b(24)1922 1004 y Fi(o)1961 1037 y Fn(19'49.05")294 b(352)2755 1004 y Fi(o)2795 1037 y Fn(34'22.12")166 b(-6)3401 1004 y Fi(o)3440 1037 y Fn(21'55.07")262 1150 y(Oct.)31 b(27.393077)103 b(9.9969678)495 b(34)1922 1117 y Fi(o)1961 1150 y Fn(16'9.65")339 b(351)2755 1117 y Fi(o)2795 1150 y Fn(34'30.01")166 b(-7)3401 1117 y Fi(o)3440 1150 y Fn(17'50.95")p 212 1212 V 212 1469 a(asteroid)27 b(Juno,)f(one)h(of)g(the)h(biggest)f(b)s(o)s(dies)e(of)i (the)g(asteroidal)f(b)s(elt)g(b)s(et)m(w)m(een)i(Mars)f(and)f(Jupiter,) g(b)s(eing)212 1582 y(ab)s(out)d(240)h Fj(k)s(m)f Fn(in)f(diameter)h (and)f(with)g(a)h(mass)g(of)g(ab)s(out)g(2)6 b Fl(\001)g Fn(10)2422 1549 y Fh(19)2521 1582 y Fj(k)s(g)s Fn(.)24 b(Here,)g(w)m(e)f(repro)s(duce)f(the)h(results)f(of)212 1695 y(Gauss,)f(taking)g(the)f(same)i(input)c(data)k(as)f(found)e(in)g ([2)q(].)i(Once)g(the)g(metho)s(ds)f(of)g(Laplace)h(and)f(Mossotti)i (are)212 1808 y(iterated)k(according)g(to)g(the)g(previous)e(section,)i (they)g(pro)m(vide)f(results)f(whic)m(h)g(are)i(de\014nitely)e(o)m(v)m (erlapping)212 1921 y(\(within)34 b(the)i(mac)m(hine)g(precision\))f (with)f(the)j(results)d(pro)m(vided)h(b)m(y)h(Gauss)g(metho)s(d.)g(W)-8 b(e)37 b(remark)f(that)212 2034 y(the)27 b(original)d(w)m(orks)i(of)h (Laplace)f(and)g(Mossotti)h(\([4)q(],)g([7)q(]\))g(did)d(not)j(con)m (tain)g(the)f(iterativ)m(e)h(sc)m(heme,)g(but)f(it)212 2147 y(is)32 b(reasonable)g(to)i(exp)s(ect)f(that)g(the)g(authors)f(in) m(tended)g(to)h(iterate)h(their)e(metho)s(ds)f(when)h(dealing)g(with) 212 2260 y(concrete)g(examples.)212 2433 y(The)k(input)f(data)j (necessary)f(to)h(start)f(the)g(pro)s(cedure)f(for)h(the)g(computation) g(of)g(the)g(elemen)m(ts)g(of)g(the)212 2546 y(orbit)30 b(are)g(the)h(follo)m(wing:)401 2658 y(1\))g(the)g(ep)s(o)s(c)m(hs)f (of)g(three)h(observ)-5 b(ations,)30 b(sa)m(y)h Fj(t)2035 2672 y Fh(1)2074 2658 y Fn(,)g Fj(t)2163 2672 y Fh(2)2202 2658 y Fn(,)g Fj(t)2291 2672 y Fh(3)2330 2658 y Fn(;)401 2771 y(2\))41 b(the)f(Earth{Sun)f(distances)g(at)i(the)f(ab)s(o)m(v)m (e)h(ep)s(o)s(c)m(hs)f(\(T)-8 b(able)40 b(1)g(rep)s(orts)g(the)g (logarithm)f(of)h(the)212 2884 y(distance\);)401 2997 y(3\))31 b(the)g(ecliptical)e(longitudes)f(of)j(the)g(Earth)f(at)h (times)f Fj(t)2394 3011 y Fi(j)2460 2997 y Fn(\()p Fj(j)i Fn(=)25 b(1)p Fj(;)15 b Fn(2)p Fj(;)g Fn(3\);)401 3110 y(4\))31 b(the)g(geo)s(cen)m(tric)g(ecliptical)e(longitudes)g(of)i(the) f(b)s(o)s(dy)f(at)i(times)f Fj(t)2794 3124 y Fi(j)2861 3110 y Fn(\()p Fj(j)h Fn(=)25 b(1)p Fj(;)15 b Fn(2)p Fj(;)g Fn(3\);)401 3223 y(5\))31 b(the)g(geo)s(cen)m(tric)g(ecliptical) e(latitudes)g(of)i(the)f(b)s(o)s(dy)f(at)i(times)f Fj(t)2733 3237 y Fi(j)2800 3223 y Fn(\()p Fj(j)h Fn(=)25 b(1)p Fj(;)15 b Fn(2)p Fj(;)g Fn(3\).)212 3336 y(W)-8 b(e)24 b(remark)f(that)h(the)f(quan)m(tities)f(2\))6 b Fl(\000)g Fn(3\))24 b(can)f(b)s(e)f(deriv)m(ed)g(from)h(ephemeris)f(tables,)h (while)e(the)i(quan)m(tities)212 3449 y(4\))f Fl(\000)f Fn(5\))32 b(are)g(obtained)f(through)g(astronomical)h(observ)-5 b(ations.)31 b(Corrections)h(for)f(\014xed)g(star)h(ab)s(erration,)212 3562 y(time)37 b(ab)s(erration,)f(precession)h(of)g(the)g(equino)m(x,)g (n)m(utation,)g(diurnal)d(motion)j(are)h(already)e(included)f(in)212 3675 y(the)c(initial)c(data)k(rep)s(orted)f(in)f(T)-8 b(able)30 b(1,)h(whic)m(h)e(refers)h(to)h(Octob)s(er)g(1804)h(\(see)f ([2)q(]\).)212 3908 y(The)43 b(output)g(is)g(comp)s(osed)g(b)m(y)h(the) g(6)g(elemen)m(ts)g(of)f(the)h(orbit,)f(namely)g(the)h(semima)5 b(jor)43 b(axis)g Fj(a)g Fn(\(in)212 4020 y(Astronomical)36 b(Units,)g Fj(AU)10 b Fn(\),)37 b(the)g(eccen)m(tricit)m(y)h Fj(e)p Fn(,)f(the)g(inclination)d Fj(i)p Fn(,)j(the)g(argumen)m(t)g(of) f(p)s(erihelion)e Fj(g)s Fn(,)212 4133 y(the)d(longitude)f(of)h(the)g (ascending)f(no)s(de)g(\012)h(and)f(the)h(mean)g(anomaly)g Fj(M)41 b Fn(referred)30 b(to)i(1/1/1805)i(for)d(the)212 4246 y(meridian)d(of)j(P)m(aris)e(\(the)i(angles)g(are)f(expressed)g (in)f(degrees\).)212 4359 y(W)-8 b(e)37 b(rep)s(ort)d(in)h(T)-8 b(able)35 b(2)g(the)h(results)e(of)i(the)f(computation)h(of)f(the)h (orbital)e(elemen)m(ts)i(using)d(the)j(initial)212 4472 y(data)31 b(of)f(T)-8 b(able)29 b(1.)i(The)e(\014rst)g(line)g(\()p Fj(Gauss)p Fn(\))h(rep)s(orts)f(the)h(data)h(computed)e(b)m(y)h(Gauss)g (in)f([2])h(\(after)h(three)212 4585 y(iterations)21 b(of)g(the)g(metho)s(d\).)h(The)e(second)i(line)d(\()p Fj(GLM)10 b Fn(\))22 b(denotes)g(the)f(results)f(that)i(w)m(e)g (obtained)e(applying)212 4698 y(one)32 b(of)g(the)g(three)g(metho)s(ds) g(b)m(y)f(Gauss,)h(Laplace)g(and)g(Mossotti)g(\(w)m(e)h(recall)e(that)i (the)f(v)-5 b(alues)31 b(obtained)212 4811 y(applying)e(the)i (di\013eren)m(t)g(tec)m(hniques)g(are)g(iden)m(tical)f(within)f(the)i (mac)m(hine)g(precision\).)f(F)-8 b(or)32 b(comparison,)212 4924 y(w)m(e)k(add)f(in)e(the)j(third)d(line)h(\()p Fj(Astr)m(:)i(data) p Fn(\))g(the)f(v)-5 b(alues)35 b(of)g(the)h(same)f(parameters,)h(whic) m(h)e(are)i(a)m(v)-5 b(ailable)212 5037 y(at)32 b(the)f(w)m(eb{site)g ([10)q(];)g(in)f(the)h(last)g(case)h(w)m(e)f(omit)g(the)g(v)-5 b(alue)30 b(of)h(the)g(mean)g(anomaly)-8 b(,)31 b(since)g(it)f(refers)h (to)212 5150 y(di\013eren)m(t)26 b(ep)s(o)s(c)m(hs.)f(W)-8 b(e)28 b(remark)d(that)i(the)f(di\013erence)g(b)s(et)m(w)m(een)g(the)h (original)d(results)g(b)m(y)i(Gauss)g(\(\014rst)g(line)212 5262 y(in)h(T)-8 b(able)28 b(2\))h(and)f(the)g(results)g(of)g(our)g (computer)g(programs)g(\(second)h(line\))e(are)i(due)e(to)j(a)e(more)h (accurate)212 5375 y(precision)e(in)h(our)h(programs)g(\(w)m(e)h(used)e (double)g(precision)g(format\))i(and)e(to)i(a)g(higher)e(order)g(of)i (iteration)212 5488 y(\(100)i(iterations,)e(instead)g(of)g(the)h(3)g (iterations)e(p)s(erformed)g(b)m(y)i(Gauss\).)2033 5964 y(15)p eop %%Page: 16 16 16 15 bop 1903 441 a Fn(T)-8 b(able)30 b(2:)p 491 513 3175 4 v 1148 617 a Fj(a)395 b(e)401 b(i)366 b(g)400 b Fn(\012)332 b Fj(M)p 491 679 V 491 707 V 641 811 a Fn(Gauss)268 b(2.645080)103 b(0.245316)g(13.1123)f(241.1724)h(171.130)g (349.5701)641 924 y(GLM)296 b(2.644619)103 b(0.245049)g(13.1155)f (241.1547)h(171.132)g(349.5678)641 1037 y(Astr.)30 b(data)101 b(2.667332)i(0.258614)g(12.9717)f(247.9220)h(170.129)p 491 1099 V 212 1356 a Fm(4)135 b(Some)45 b(n)l(umerical)h(exp)t(erimen) l(ts)212 1563 y Fg(4.1)112 b(Domains)37 b(of)h(con)m(v)m(ergence)212 1734 y Fn(In)c(order)g(to)h(explore)f(the)h(e\016cacy)h(of)f(Gauss)f (metho)s(d,)h(w)m(e)g(compute)g(the)f(domain)g(of)g(con)m(v)m(ergence)j (b)m(y)212 1847 y(v)-5 b(arying)38 b(the)h(initial)e(data)i(\(i.e.,)h (latitude)e(and)g(longitude\).)g(No)m(w)m(ada)m(ys)j(the)e(instrumen)m (tal)e(errors)i(are)212 1960 y(v)m(ery)29 b(small,)e(t)m(ypically)g(of) h(the)h(order)e(of)i(0)p Fj(:)p Fn(5")p Fj(=ar)s(c)h Fn(on)e(the)h(angles)f(and)f(less)h(than)g(1)g(second)h(on)f(the)g (time.)212 2073 y(If)g(w)m(e)i(adopt)f(suc)m(h)f(ranges)h(for)f(the)h (v)-5 b(ariation)28 b(of)h(the)g(input)e(data,)j(w)m(e)f(\014nd)e(that) i(the)g(metho)s(d)f(con)m(v)m(erges)212 2186 y(for)41 b(an)m(y)g(initial)d(condition)h(in)g(suc)m(h)i(in)m(terv)-5 b(al.)40 b(Therefore,)h(w)m(e)g(are)g(led)f(to)h(consider)f(wider)f (ranges)i(of)212 2299 y(v)-5 b(ariation)41 b(of)g(the)h(input)d(data,)j (m)m(uc)m(h)f(larger)g(than)h(the)f(instrumen)m(tal)f(errors)g(\(ev)m (en)j(at)f(the)f(time)g(of)212 2412 y(Piazzi\).)32 b(Nev)m(ertheless)g (suc)m(h)g(analysis)e(pro)m(vides)h(a)h(useful)e(to)s(ol)h(to)i(ev)-5 b(aluate)32 b(the)g(regions)f(where)g(Gauss)212 2525 y(metho)s(d)25 b(con)m(v)m(erges)i(and)e(the)g(domain)f(of)i(v)-5 b(ariation)24 b(of)i(the)f(orbital)f(parameters.)i(In)e(particular,)g (w)m(e)i(shall)212 2638 y(consider)34 b(the)h(eccen)m(tricit)m(y)h Fj(e)p Fn(,)g(the)f(semima)5 b(jor)34 b(axis)g Fj(a)h Fn(\(related)h(to)f(the)g(parameter)h Fj(p)e Fn(of)h(the)h(conic)e(b)m (y)212 2750 y Fj(a)25 b Fn(=)452 2710 y Fi(p)p 391 2729 158 4 v 391 2784 a Fh(1)p Fe(\000)p Fi(e)514 2765 y Ff(2)559 2750 y Fn(\))30 b(and)g(the)h(inclination)c Fj(i)p Fn(.)212 2863 y(The)i(exp)s(erimen)m(ts)f(are)i(p)s(erformed)e(v)-5 b(arying)28 b(sim)m(ultaneously)g(the)h(three)h(longitudes)e Fj(\025)3303 2878 y Fi(k)3375 2863 y Fn(\()p Fj(k)h Fn(=)24 b(1)p Fj(;)15 b Fn(2)p Fj(;)g Fn(3\))32 b(or)212 2976 y(the)f(three)f(latutides)f Fj(\014)1026 2991 y Fi(k)1100 2976 y Fn(of)h(the)h(celestial)f(b)s(o)s(dy)-8 b(.)212 3202 y(W)g(e)37 b(assume)e(that)h(the)g(cen)m(tral)g(v)-5 b(alues)35 b(of)g(the)h(in)m(terv)-5 b(als)34 b(of)i(v)-5 b(ariation)35 b(corresp)s(ond)f(to)i(the)g(input)e(data)212 3315 y(for)27 b(the)h(computation)f(of)g(Juno's)g(elemen)m(ts)h(as)f (pro)m(vided)f(in)g(T)-8 b(able)27 b(1.)h(W)-8 b(e)28 b(compute)g(a)g(grid)e(of)h(21)h(p)s(oin)m(ts)212 3428 y(\(10)k(p)s(oin)m(ts)d(on)i(the)g(left,)f(10)i(on)e(the)h(righ)m(t,)g (plus)d(the)j(cen)m(tral)g(v)-5 b(alue\),)31 b(marking)f(those)h(p)s (oin)m(ts)e(for)i(whic)m(h)212 3541 y(w)m(e)39 b(\014nd)d(con)m(v)m (ergence)k(to)f(an)f(elliptic)e(orbit.)h(In)g(order)h(to)g(in)m(v)m (estigate)h(the)g(b)s(eha)m(viour)d(of)i(the)h(orbital)212 3654 y(elemen)m(ts,)26 b(let)g(us)f(denote)h(b)m(y)g Fj(a)1301 3621 y Fh(\(0\))1395 3654 y Fn(,)g Fj(e)1488 3621 y Fh(\(0\))1583 3654 y Fn(,)f Fj(i)1664 3621 y Fh(\(0\))1785 3654 y Fn(the)g(elliptic)f(elemen)m(ts)i(corresp)s(onding)d(to)k(the)f (orbit)e(of)i(Juno)212 3776 y(\(second)32 b(line)d(in)i(T)-8 b(able)30 b(2\).)j(Let)f(us)e(de\014ne)h(the)g(follo)m(wing)f(quan)m (tities:)h Fj(a)2791 3790 y Fi(v)r(ar)2930 3776 y Fn(=)c Fl(j)3063 3741 y Fi(a)p Fe(\000)p Fi(a)3192 3717 y Ff(\(0\))p 3063 3756 213 4 v 3109 3816 a Fi(a)3146 3796 y Ff(\(0\))3285 3776 y Fl(j)p Fn(,)32 b Fj(e)3409 3790 y Fi(v)r(ar)3548 3776 y Fn(=)27 b Fl(j)3681 3741 y Fi(e)p Fe(\000)p Fi(e)3802 3717 y Ff(\(0\))p 3681 3756 203 4 v 3725 3816 a Fi(e)3758 3796 y Ff(\(0\))3894 3776 y Fl(j)p Fn(,)212 3920 y Fj(i)243 3934 y Fi(v)r(ar)386 3920 y Fn(=)i Fl(j)521 3885 y Fi(i)p Fe(\000)p Fi(i)624 3861 y Ff(\(0\))p 522 3900 186 4 v 561 3960 a Fi(i)585 3940 y Ff(\(0\))717 3920 y Fl(j)p Fn(,)34 b(where)e Fj(a)p Fn(,)i Fj(e)p Fn(,)g Fj(i)f Fn(are)h(the)f(elemen)m(ts)h(corresp)s(onding)d(to)j(the)f(initial)e (data)j(v)-5 b(arying)32 b(on)h(the)212 4033 y(grid.)27 b(W)-8 b(e)30 b(rep)s(ort)e(in)f(Figures)g(1{3)j(the)e(3{dimensional)f (plots)g(in)g(the)i(space)g(\()p Fj(a)2987 4047 y Fi(v)r(ar)3099 4033 y Fj(;)15 b(e)3181 4047 y Fi(v)r(ar)3294 4033 y Fj(;)g(i)3365 4047 y Fi(v)r(ar)3478 4033 y Fn(\))29 b(asso)s(ciated)212 4146 y(to)f(a)g(v)-5 b(ariation)26 b(of)h(the)h(longitudes)e(and)g(in)g (Figures)h(4{6)h(the)g(3{dimensional)d(plots)h(asso)s(ciated)i(to)g(a)g (grid)212 4259 y(in)h(the)i(latitudes.)212 4623 y Fg(4.2)112 b(A)37 b(practical)f(comparison)h(b)s(et)m(w)m(een)h(Gauss)g(and)h (Laplace)f(metho)s(ds)212 4794 y Fn(In)44 b(this)g(section)h(w)m(e)g (implemen)m(t)e(Gauss)i(and)f(Laplace)h(metho)s(ds)f(for)g(an)h(o)m(v)m (erall)g(set)g(of)g(10)3627 4761 y Fh(5)3712 4794 y Fn(initial)212 4907 y(conditions,)32 b(whic)m(h)f(are)i(obtained)g(v)-5 b(arying)31 b(randomly)h(the)h(longitude)e(and)h(latitude)g(of)h(the)g (b)s(o)s(dy)-8 b(,)32 b(and)212 5020 y(the)g(three)f(times)g(of)h (observ)-5 b(ation.)31 b(W)-8 b(e)32 b(\014rst)f(compute)h(the)f Fd(true)g Fn(orbital)f(elemen)m(ts)i(of)g(the)f(conic,)h(whic)m(h)212 5133 y(are)f(obtained)g(letting)f(the)h(program)g(iterate)g(sev)m(eral) h(times)e(un)m(til)f(con)m(v)m(ergence)34 b(is)c(reac)m(hed;)h(w)m(e)h (denote)212 5246 y(suc)m(h)i(elemen)m(ts)g(as)h Fj(a)960 5260 y Fi(t)989 5246 y Fn(,)g Fj(e)1091 5260 y Fi(t)1121 5246 y Fn(,)f Fj(i)1211 5260 y Fi(t)1241 5246 y Fn(,)g(referring)f (resp)s(ectiv)m(ely)g(to)i(the)g(semi{ma)5 b(jor)33 b(axis,)h(the)h (eccen)m(tricit)m(y)g(and)212 5359 y(the)c(inclination.)212 5472 y(Since)42 b(the)h(iterativ)m(e)h(sc)m(heme)f(w)m(as)h(not)f (conceiv)m(ed)g(in)f(the)h(original)e(pap)s(er)h(b)m(y)h(Laplace,)g (but)f(it)h(w)m(as)2033 5964 y(16)p eop %%Page: 17 17 17 16 bop 1903 441 a Fn(T)-8 b(able)30 b(3:)p 981 513 2196 4 v 1534 617 a(\001)p Fj(a)203 b Fn(\001)p Fj(e)209 b Fn(\001)p Fj(i)220 b Fn(\001)p Fj(a)30 b Fn(&)g(\001)p Fj(e)g Fn(&)g(\001)p Fj(i)p 981 679 V 981 707 V 1130 811 a Fn(Gauss)165 b(40905)102 b(49402)g(71979)g(28436)1130 924 y(Laplace)e(59095)i(50598)g(28021)g(13837)p 981 986 V 212 1243 a(later)36 b(in)m(tro)s(duced)f(b)m(y)h(Gauss,)g(w)m(e)g 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Fj(e)2020 1773 y Fi(G)2100 1759 y Fl(\000)20 b Fj(e)2233 1773 y Fi(t)p 1978 1800 285 4 v 2085 1883 a Fj(e)2127 1897 y Fi(t)2273 1821 y Fl(j)31 b Fj(;)197 b(")2593 1835 y Fi(i;G)2721 1821 y Fl(\021)25 b(j)2852 1759 y Fj(i)2883 1773 y Fi(G)2963 1759 y Fl(\000)20 b Fj(i)3085 1773 y Fi(t)p 2852 1800 263 4 v 2953 1883 a Fj(i)2984 1897 y Fi(t)3125 1821 y Fl(j)31 b Fj(;)812 2052 y(")854 2066 y Fi(a;L)988 2052 y Fl(\021)25 b(j)1119 1990 y Fj(a)1167 2004 y Fi(L)1240 1990 y Fl(\000)20 b Fj(a)1379 2004 y Fi(t)p 1119 2031 289 4 v 1225 2114 a Fj(a)1273 2128 y Fi(t)1419 2052 y Fl(j)30 b Fj(;)197 b(")1738 2066 y Fi(e;L)1868 2052 y Fl(\021)25 b(j)1999 1990 y Fj(e)2041 2004 y Fi(L)2114 1990 y Fl(\000)20 b Fj(e)2247 2004 y Fi(t)p 1999 2031 278 4 v 2102 2114 a Fj(e)2144 2128 y Fi(t)2287 2052 y Fl(j)31 b Fj(;)197 b(")2607 2066 y Fi(i;L)2728 2052 y Fl(\021)25 b(j)2859 1990 y Fj(i)2890 2004 y Fi(L)2963 1990 y Fl(\000)20 b Fj(i)3085 2004 y Fi(t)p 2859 2031 256 4 v 2957 2114 a Fj(i)2988 2128 y Fi(t)3125 2052 y Fl(j)31 b Fj(;)212 2394 y Fn(where)g(the)h(subscripts)d Fj(G)j Fn(and)f Fj(L)g Fn(refer,)g(resp)s(ectiv)m(ely)-8 b(,)32 b(to)g(Gauss)f(and)g(Laplace.)h(Finally)-8 b(,)30 b(w)m(e)i(in)m(tro)s(duce)212 2507 y(the)f(di\013erence)e(b)s(et)m(w)m (een)i(the)g(relativ)m(e)g(errors)e(as)737 2711 y(\001)p Fj(a)c Fl(\021)g Fj(")1024 2725 y Fi(a;G)1161 2711 y Fl(\000)20 b Fj(")1294 2725 y Fi(a;L)1434 2711 y Fj(;)197 b Fn(\001)p Fj(e)25 b Fl(\021)g Fj(")1937 2725 y Fi(e;G)2069 2711 y Fl(\000)20 b Fj(")2202 2725 y Fi(e;L)2337 2711 y Fj(;)197 b Fn(\001)p Fj(i)26 b Fl(\021)f Fj(")2830 2725 y Fi(i;G)2953 2711 y Fl(\000)20 b Fj(")3086 2725 y Fi(i;L)3213 2711 y Fj(:)212 2915 y Fn(Notice)38 b(that)f(if)e(one)i (of)g(the)f(ab)s(o)m(v)m(e)i(quan)m(tities)e(is)f(negativ)m(e,)j(it)e (means)h(that)g(Gauss)f(metho)s(d)g(pro)m(vides)212 3028 y(b)s(etter)g(results)g(than)g(Laplace;)g(on)h(the)f(con)m(trary)-8 b(,)38 b(a)e(p)s(ositiv)m(e)g(v)-5 b(alue)35 b(indicates)h(that)h (Laplace)f(prev)-5 b(ails)212 3141 y(o)m(v)m(er)25 b(Gauss.)f(In)f(the) h(\014rst)g(line)e(of)i(T)-8 b(able)23 b(3)h(w)m(e)h(rep)s(ort)e(the)h (n)m(um)m(b)s(er)f(of)h(times)f(suc)m(h)g(that)i(\001)p Fj(a)g(<)g Fn(0,)f(\001)p Fj(e)i(<)f Fn(0,)212 3254 y(\001)p Fj(i)h(<)f Fn(0)31 b(and)f(the)h(n)m(um)m(b)s(er)e(of)i(times)f(for)g (whic)m(h)f(all)h(three)h(v)-5 b(alues)30 b(are)g(sim)m(ultaneously)f (negativ)m(e;)j(in)d(the)212 3367 y(second)35 b(line)e(w)m(e)i(rep)s (ort)g(the)f(n)m(um)m(b)s(er)g(of)h(o)s(ccurrences)g(for)f(whic)m(h)g (the)h(ab)s(o)m(v)m(e)h(quan)m(tities)e(are)h(p)s(ositiv)m(e.)212 3480 y(The)g(results)f(rep)s(orted)g(in)g(T)-8 b(able)34 b(3)i(sho)m(w)f(that)h(Laplace)f(metho)s(d)f(pro)m(vides)g(a)i(b)s (etter)f(estimate)h(of)f(the)212 3593 y(semi{ma)5 b(jor)41 b(axis,)g(b)s(eing)f(\001)p Fj(a)j(>)g Fn(0)f(for)f(59095)i(tra)5 b(jectories,)43 b(while)c(\001)p Fj(a)k(<)g Fn(0)f(for)f(40905)j (orbits;)c(the)212 3705 y(t)m(w)m(o)d(tec)m(hniques)f(are)g(essen)m (tially)f(equiv)-5 b(alen)m(t)36 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y Fh(2)3536 4895 y Fn(+)g(\()p Fj(i)3693 4909 y Fi(G)3773 4895 y Fl(\000)g Fj(i)3895 4909 y Fi(L)3948 4895 y Fn(\))3983 4868 y Fh(2)4022 4895 y Fn(.)212 5007 y(Ov)m(er)37 b(a)f(set)h(of)g(10)870 4974 y Fh(5)946 5007 y Fn(random)f(initial)d(conditions,)i(w)m(e)i (found)e(that)i(\001)2700 5021 y Fi(LG)2842 5007 y Fl(\024)e Fn(0)p Fj(:)p Fn(01)j(for)e(5179)i(initial)c(con-)212 5120 y(ditions,)e(0)p Fj(:)p Fn(01)h Fj(<)d Fn(\001)909 5134 y Fi(LG)1047 5120 y Fl(\024)g Fn(0)p Fj(:)p Fn(1)35 b(for)e(61114)j(initial)31 b(conditions,)i(0)p Fj(:)p Fn(1)e Fj(<)g Fn(\001)2755 5134 y Fi(LG)2893 5120 y Fl(\024)f Fn(1)k(for)g(14471)h(initial)c(data,)212 5233 y(1)26 b Fj(<)f Fn(\001)455 5247 y Fi(LG)587 5233 y Fl(\024)g Fn(10)31 b(for)f(6699)i(initial)c(conditions,)h(while)f(\001)2191 5247 y Fi(LG)2324 5233 y Fj(>)d Fn(10)31 b(for)f(12537)i(initial)c (data.)2033 5964 y(17)p eop %%Page: 18 18 18 17 bop 212 386 a Fg(4.3)112 b(Gauss)39 b(and)f(Laplace)g(\014rst)g (appro)m(ximations)212 558 y Fn(As)27 b(a)h(further)e(comparison,)h(w)m (e)g(implemen)m(t)f(Gauss)i(metho)s(d)e(in)g(whic)m(h)g(w)m(e)i (substitute)e(the)i(\014rst)e(appro)m(x-)212 671 y(imation)g(with)h (that)h(giv)m(en)f(b)m(y)g(Laplace)h(metho)s(d.)f(In)g(this)f(w)m(a)m (y)-8 b(,)29 b(w)m(e)f(aim)f(to)h(compare)g(the)g(v)-5 b(alidit)m(y)26 b(of)h(the)212 784 y(\014rst)j(appro)m(ximation)f (found)g(b)m(y)h(Gauss)h(with)e(that)i(pro)m(vided)e(b)m(y)h(Laplace)h (algorithm.)212 897 y(More)41 b(precisely)-8 b(,)38 b(w)m(e)j(apply)d (Laplace)i(tec)m(hnique)f(to)i(obtain)e(the)h(elemen)m(ts)g(of)g(the)g (orbit)e(from)i(whic)m(h)212 1010 y(w)m(e)j(compute)g(the)g(v)m(ectors) f Fj(~)-42 b(r)1271 1024 y Fh(1)1310 1010 y Fn(,)40 b Fj(~)-42 b(r)1419 1024 y Fh(3)1459 1010 y Fn(.)42 b(Next,)i(w)m(e)g (determine)e(the)g(area)i(of)f(the)g(triangles)f Fj(n)3470 1024 y Fi(pq)3586 1010 y Fn(and)g(as)h(a)212 1123 y(consequence)36 b(w)m(e)g(get)g(the)f(quan)m(tities)g Fj(P)48 b Fn(and)34 b Fj(Q)p Fn(,)i(where)e Fj(P)47 b Fn(=)32 b Fj(n)2561 1137 y Fh(12)2636 1123 y Fj(=n)2736 1137 y Fh(23)2811 1123 y Fn(,)j Fj(Q)e Fn(=)g(2)p Fj(r)3169 1090 y Fh(3)3166 1146 y(2)3208 1123 y Fn(\()3253 1086 y Fi(n)3296 1095 y Ff(12)3362 1086 y Fh(+)p Fi(n)3460 1095 y Ff(23)p 3254 1102 271 4 v 3335 1154 a Fi(n)3378 1163 y Ff(13)3558 1123 y Fl(\000)23 b Fn(1\))36 b(with)212 1260 y Fj(r)253 1274 y Fh(2)323 1260 y Fl(\021)31 b(j)-6 b Fj(~)-39 b(a)498 1274 y Fh(2)560 1260 y Fn(+)22 b Fj(\032)700 1274 y Fh(2)730 1236 y Fj(~)740 1260 y(b)779 1274 y Fh(2)818 1260 y Fl(j)34 b Fn(and)f Fj(\032)1104 1274 y Fh(2)1178 1260 y Fn(giv)m(en)g(b)m(y)h (\(2.11\).)i(Starting)d(with)g(this)g(initial)e(\(Laplacian\))i(appro)m (ximation,)212 1373 y(w)m(e)e(implemen)m(t)e(Gauss)h(metho)s(d,)g (iterating)g(the)h(pro)s(cedure)e(un)m(til)g(con)m(v)m(ergence)j(is)e (reac)m(hed.)212 1486 y(Indeed,)40 b(w)m(e)g(compare)h(the)f(elemen)m (ts)h(obtained)e(according)i(to)g(the)f(ab)s(o)m(v)m(e)h(pro)s(cedure)e (\(where)h(Gauss)212 1599 y(metho)s(d)29 b(is)g(run)f(with)h(the)h (initial)d(appro)m(ximation)h(deriv)m(ed)h(from)g(Laplace)h(tec)m (hnique\))g(with)e(those)j(pro-)212 1712 y(duced)e(b)m(y)g(the)g (standard)f(Gauss)i(pro)s(cedure)e(\(namely)-8 b(,)29 b(taking)g(the)h(initial)c(appro)m(ximation)i(as)i(pro)m(vided)212 1825 y(b)m(y)37 b(Gauss)f(himself)7 b(\).)36 b(W)-8 b(e)37 b(tested)h(the)f(comparison)f(for)g(an)h(o)m(v)m(erall)g(set)g(of)g(10) 3016 1792 y Fh(5)3093 1825 y Fn(random)f(initial)e(condi-)212 1938 y(tions)g(and)g(w)m(e)i(found)d(that)i(the)g(di\013erence)g(b)s (ewteen)f(the)h(elemen)m(ts)g(computed)g(according)f(to)i(the)f(t)m(w)m (o)212 2051 y(pro)s(cedures)28 b(nev)m(er)i(exceeds)g(3)19 b Fl(\001)f Fn(10)1433 2018 y Fe(\000)p Fh(8)1528 2051 y Fn(,)30 b(sho)m(wing)e(that)i(b)s(oth)f(initial)d(appro)m(ximations)i (guaran)m(tee)j(reliable)212 2164 y(results.)212 2450 y Fm(A)134 b(Gauss)45 b(metho)t(d)212 2653 y Fn(In)29 b(this)f(app)s(endix)f(w)m(e)j(review)e(the)i(metho)s(d)f(dev)m(elop)s (ed)f(b)m(y)i(Gauss)f(\([2)q(]\).)h(In)f(order)g(to)h(\014x)f(the)g (notations)212 2766 y(and)20 b(the)g(basics)g(of)g(the)h(metho)s(d,)f (let)g(us)g(start)h(b)m(y)f(recalling)f(the)h(three)h(fundamen)m(tal)e (Kepler's)g(la)m(ws,)i(whic)m(h)212 2879 y(describ)s(e)29 b(the)i(in)m(teraction)g(b)s(et)m(w)m(een)g(t)m(w)m(o)i(b)s(o)s(dies)28 b(sub)5 b(ject)31 b(to)g(the)g(recipro)s(cal)f(gra)m(vitational)h (attraction.)212 2992 y(W)-8 b(e)29 b(shall)e(iden)m(tify)f(the)j(t)m (w)m(o)g(b)s(o)s(dies)d(with)h(the)h(Sun)f(and)g(a)i(minor)d(b)s(o)s (dy)h Fj(C)7 b Fn(,)28 b(for)g(example)f(a)i(comet)g(or)f(an)212 3105 y(asteroid.)h(Let)e Fj(~)-42 b(r)783 3119 y Fh(1)822 3105 y Fj(;)12 b(~)-42 b(r)903 3119 y Fh(2)943 3105 y Fj(;)12 b(~)-42 b(r)1024 3119 y Fh(3)1093 3105 y Fn(b)s(e)29 b(the)g(p)s(osition)e(v)m(ectors)k(of)e Fj(C)36 b Fn(with)28 b(resp)s(ect)h(to)h(the)f(Sun,)f(computed)h(at)h(three)212 3218 y(di\013eren)m(t)f(times)g Fj(t)845 3232 y Fh(1)884 3218 y Fn(,)g Fj(t)971 3232 y Fh(2)1010 3218 y Fn(,)h Fj(t)1098 3232 y Fh(3)1137 3218 y Fn(;)g(let)f Fj(M)35 b Fn(=)25 b Fj(M)10 b Fn(\()p Fj(t)p Fn(\))30 b(b)s(e)e(the)i (so{called)f Fd(mean)g(anomaly)-8 b(,)30 b Fn(whic)m(h)e(is)g(related)h (to)h(the)212 3331 y(mean)h(motion)f Fj(n)f Fn(b)m(y)1710 3443 y Fj(M)10 b Fn(\()p Fj(t)p Fn(\))26 b(=)f Fj(nt)20 b Fn(+)g Fj(M)10 b Fn(\(0\))212 3610 y(\(without)25 b(loss)g(of)h (generalit)m(y)-8 b(,)26 b(w)m(e)g(can)g(assume)g(that)g Fj(M)10 b Fn(\(0\))26 b(=)f(0\).)i(The)e(observ)-5 b(ations)25 b(of)h(the)g(minor)e(b)s(o)s(dy)212 3723 y Fj(C)35 b Fn(will)26 b(b)s(e)h(p)s(erformed)g(from)h(the)h(Earth,)f(though)g(w)m (e)h(will)d(not)j(consider)e(the)i(gra)m(vitational)f(in\015uence)f(of) 212 3836 y(the)j(Earth)f(on)h Fj(C)7 b Fn(.)29 b(Therefore,)g(w)m(e)h (\014x)f(a)h(reference)g(frame)g(with)e(the)i(Sun)e(at)i(the)g(origin)e (and)h(w)m(e)h(assume)212 3949 y(that)25 b(the)f(p)s(erio)s(d)e(of)i (the)g(orbit)g(of)g(the)g(Earth)g(around)f(the)h(Sun)f(is)g(normalized) g(to)h(2)p Fj(\031)s Fn(\(1)8 b(+)g Fj(\026)3392 3963 y Fi(E)3452 3949 y Fn(\))3487 3916 y Fe(\000)p Fh(1)p Fi(=)p Fh(2)3676 3949 y Fn(\(where)212 4062 y Fj(\026)267 4076 y Fi(E)358 4062 y Fn(is)32 b(the)g(ratio)g(of)g(the)h(masses)f(of) g(the)g(Earth)g(and)g(the)g(Sun\);)f(with)g(this)g(c)m(hoice)i(the)f (mean)g(motion)g(of)212 4175 y(the)j(Earth)g(is)f(normalized)f(to)j (\(1)24 b(+)f Fj(\026)1571 4189 y Fi(E)1630 4175 y Fn(\))1665 4142 y Fh(1)p Fi(=)p Fh(2)1775 4175 y Fn(,)35 b(while)e(its)h(semima)5 b(jor)35 b(axis)f(is)g(normalized)f(to)j(1.)f(W)-8 b(e)36 b(also)212 4288 y(assume)30 b(that)h(the)g(minor)e(b)s(o)s(dy)f Fj(C)37 b Fn(has)30 b(zero{mass.)212 4461 y(With)h(the)h(ab)s(o)m(v)m (e)g(notations,)g(the)g(motion)f(of)g Fj(C)38 b Fn(is)30 b(go)m(v)m(erned)j(b)m(y)e(Kepler's)g(la)m(ws,)g(whic)m(h)f(can)i(b)s (e)e(stated)212 4574 y(as)h(follo)m(ws:)401 4747 y Fj(i)p Fn(\))26 b(The)f(p)s(osition)f(v)m(ectors)g Fj(~)-42 b(r)1362 4761 y Fh(1)1401 4747 y Fj(;)12 b(~)-42 b(r)1482 4761 y Fh(2)1522 4747 y Fj(;)12 b(~)-42 b(r)1603 4761 y Fh(3)1668 4747 y Fn(are)26 b(coplanar)f(and)g(determine)g(a)h(conic)f (section)h(with)e(a)i(fo)s(cus)f(in)212 4859 y(the)31 b(origin;)f(w)m(e)h(denote)g(b)m(y)g Fj(p)f Fn(and)g Fj(e)p Fn(,)i(resp)s(ectiv)m(ely)-8 b(,)30 b(the)h Fd(parameter)g Fn(and)g(the)g Fd(eccen)m(tricit)m(y)h Fn(of)e(the)h(conic)212 4972 y(section.)401 5198 y Fj(ii)p Fn(\))25 b(The)f(areal)g(v)m(elo)s (cit)m(y)h(is)e(constan)m(t;)j(notice)e(that)h(the)f(area)h Fj(A)p Fn(\()p Fj(t)p Fn(\))p Fj(=)p Fn(2)h(of)f(the)f(conic)g(section) g(describ)s(ed)212 5311 y(b)m(y)32 b(the)h(p)s(osition)d(v)m(ector)k (from)d(the)i(p)s(erihelion)28 b(to)33 b(a)g(generic)f(time)g Fj(t)g Fn(is)f(related)h(to)h(the)f(mean)h(anomaly)2033 5964 y(18)p eop %%Page: 19 19 19 18 bop 212 386 a Fn(b)m(y)1536 488 y Fj(A)p Fn(\()p Fj(t)p Fn(\))p 1536 529 172 4 v 1599 612 a(2)1743 550 y(=)2063 488 y Fj(p)2109 455 y Fh(2)p 1849 529 516 4 v 1849 615 a Fn(2\()p Fl(j)p Fn(1)21 b Fl(\000)f Fj(e)2153 589 y Fh(2)2193 615 y Fl(j)p Fn(\))2253 588 y Fh(3)p Fi(=)p Fh(2)2374 550 y Fj(M)10 b Fn(\()p Fj(t)p Fn(\))30 b Fj(;)1059 b Fn(\(A.32\))212 809 y(where)30 b Fj(a)25 b Fn(=)g Fj(p=)p Fl(j)p Fn(1)c Fl(\000)f Fj(e)959 776 y Fh(2)999 809 y Fl(j)p Fn(.)401 1035 y Fj(iii)p Fn(\))32 b(The)e(semima)5 b(jor)29 b(axis)h(and)g(the)g(mean)h(motion)f(are)h (related)f(b)m(y)g(the)h(expression:)1876 1198 y Fj(n)1931 1161 y Fh(2)1970 1198 y Fj(a)2018 1161 y Fh(3)2083 1198 y Fn(=)25 b(1)31 b Fj(:)212 1422 y Fn(W)-8 b(e)32 b(remark)e(that)h (from)f Fj(ii)p Fn(\))h(and)f Fj(iii)p Fn(\))h(it)f(follo)m(ws)g(that) 1812 1585 y Fj(A)p Fn(\()p Fj(t)p Fn(\))c(=)2105 1524 y Fl(p)p 2180 1524 46 4 v 2180 1585 a Fj(p)k(t)h(:)1344 b Fn(\(A.33\))212 1862 y(The)24 b(condition)f(for)h(the)g(coplanarit)m (y)g(of)g(the)h(v)m(ectors)e Fj(~)-42 b(r)2130 1876 y Fh(1)2169 1862 y Fj(;)12 b(~)-42 b(r)2250 1876 y Fh(2)2290 1862 y Fj(;)12 b(~)-42 b(r)2371 1876 y Fh(3)2435 1862 y Fn(can)24 b(b)s(e)g(expressed)g(as)g(in)f(\(2.1\))j(for)e(some)h Fj(\013)212 1975 y Fn(and)i Fj(\014)5 b Fn(,)29 b(whic)m(h)d(can)j(b)s (e)e(in)m(terpreted)g(as)h(the)g(ratios)g(b)s(et)m(w)m(een)h(the)f (areas)h(of)f(the)g(triangles)f Fj(n)3429 1989 y Fi(pq)3502 1975 y Fj(=)p Fn(2)i(spanned)212 2098 y(b)m(y)d(the)g(v)m(ectors)e Fj(~)-42 b(r)831 2112 y Fi(p)870 2098 y Fn(,)23 b Fj(~)-42 b(r)962 2112 y Fi(q)1000 2098 y Fn(.)26 b(In)f(fact,)i(let)f(us)f (denote)h(with)2085 2074 y Fj(~)2090 2098 y(k)i Fn(the)e(unit)f(v)m (ector)i(orthogonal)f(to)h(the)e(plane)g(of)h(the)212 2211 y(orbit,)35 b(orien)m(ted)g(so)g(that)h(the)f(motion)g(tak)m(es)h (place)f(coun)m(terclo)s(c)m(kwise.)h(Supp)s(ose,)e(for)h(simplicit)m (y)-8 b(,)33 b(that)212 2324 y(the)h(angle)f(b)s(et)m(w)m(een)e Fj(~)-42 b(r)1007 2338 y Fh(1)1080 2324 y Fn(and)29 b Fj(~)-42 b(r)1300 2338 y Fh(3)1373 2324 y Fn(is)32 b(smaller)g(than)h Fj(\031)s Fn(.)h(Then,)e(taking)i(the)f(v)m(ector)i(pro)s(duct)d(of)i (\(2.1\))h(with)209 2437 y Fj(~)-42 b(r)253 2451 y Fh(3)323 2437 y Fn(\(resp)s(ectiv)m(ely)-8 b(,)31 b(with)e Fl(\000)m Fj(~)-42 b(r)1191 2451 y Fh(1)1230 2437 y Fn(\))30 b(and)g(computing)g (the)g(scalar)h(pro)s(duct)e(with)2880 2413 y Fj(~)2885 2437 y(k)s Fn(,)i(one)f(obtains)1612 2619 y Fj(\013)25 b Fn(=)1801 2558 y Fj(n)1856 2572 y Fh(23)p 1801 2598 130 4 v 1801 2682 a Fj(n)1856 2696 y Fh(13)1940 2619 y Fj(;)198 b(\014)30 b Fn(=)2350 2558 y Fj(n)2405 2572 y Fh(12)p 2350 2598 V 2350 2682 a Fj(n)2405 2696 y Fh(13)2520 2619 y Fj(:)1144 b Fn(\(A.34\))212 2843 y(Let)33 b(us)f(denote)h(b)m(y) 27 b Fj(~)-39 b(a)968 2858 y Fi(k)1043 2843 y Fn(the)33 b(p)s(ositon)f(v)m(ector)i(of)f(the)g(Earth)f(with)f(resp)s(ect)i(to)h (the)e(Sun)g(and)g(b)m(y)g Fj(\032)3661 2858 y Fi(k)3694 2819 y Fj(~)3704 2843 y(b)3743 2858 y Fi(k)3818 2843 y Fn(the)212 2956 y(p)s(osition)d(v)m(ector)k(of)e(the)g(b)s(o)s(dy)f Fj(C)37 b Fn(with)30 b(resp)s(ect)h(to)h(the)f(Earth,)g(where)g Fj(\032)2812 2971 y Fi(k)2885 2956 y Fn(are)h(the)f(unkno)m(wn)f (distances)212 3069 y(b)s(et)m(w)m(een)h(the)g(Earth)f(and)g(the)g(b)s (o)s(dy)f Fj(C)7 b Fn(;)30 b(then,)g(w)m(e)h(can)g(write)e(the)i (distances)c Fj(~)-42 b(r)3022 3084 y Fi(k)3095 3069 y Fn(as)1759 3232 y Fj(~)f(r)1802 3247 y Fi(k)1870 3232 y Fn(=)20 b Fj(~)-40 b(a)2014 3247 y Fi(k)2077 3232 y Fn(+)20 b Fj(\032)2215 3247 y Fi(k)2248 3208 y Fj(~)2258 3232 y(b)2297 3247 y Fi(k)2370 3232 y Fj(;)1294 b Fn(\(A.35\))212 3396 y(so)32 b(that)g(\(2.1\))h(b)s(ecomes)f(\(2.2\).)h(T)-8 b(aking)31 b(the)h(v)m(ector)h(pro)s(duct)d(of)h(\(2.2\))i(with)26 b Fj(~)-40 b(c)2995 3410 y Fh(1)3034 3396 y Fn(,)27 b Fj(~)-40 b(c)3130 3410 y Fh(2)3170 3396 y Fn(,)26 b Fj(~)-40 b(c)3265 3410 y Fh(3)3336 3396 y Fn(de\014ned)30 b(in)h(\(2.4\))212 3509 y(and)d(assuming)e(linear)h(indep)s(endency)e(among)1878 3485 y Fj(~)1889 3509 y(b)1928 3523 y Fh(1)1967 3509 y Fn(,)2010 3485 y Fj(~)2020 3509 y(b)2059 3523 y Fh(2)2099 3509 y Fn(,)2142 3485 y Fj(~)2152 3509 y(b)2191 3523 y Fh(3)2258 3509 y Fn(\(so)k(that)2588 3485 y Fj(~)2598 3509 y(b)2637 3523 y Fh(1)2692 3509 y Fl(^)2758 3485 y Fj(~)2768 3509 y(b)2807 3523 y Fh(2)2862 3509 y Fl(\001)2892 3485 y Fj(~)2903 3509 y(b)2942 3523 y Fh(3)3006 3509 y Fl(6)p Fn(=)c(0\),)k(w)m(e)g(get)g(that,)g(if)e(the)209 3622 y Fj(~)-42 b(r)253 3637 y Fi(k)296 3622 y Fn('s)31 b(are)h(coplanar)e(and)h(not)h(parallel)d(to)j(eac)m(h)g(other,)g(then) f(\(2.5\))i(holds.)d(Con)m(v)m(ersely)-8 b(,)32 b(giv)m(en)25 b Fj(~)-39 b(a)3611 3637 y Fi(k)3685 3622 y Fn(and)3852 3598 y Fj(~)3863 3622 y(b)3902 3637 y Fi(k)212 3734 y Fn(\(where)498 3711 y Fj(~)508 3734 y(b)547 3749 y Fi(k)618 3734 y Fn(are)28 b(indep)s(enden)m(t)e(v)m(ectors\),)k(let)e Fj(\013)g Fn(and)f Fj(\014)5 b Fn(,)29 b(with)e Fj(\013\014)k Fl(6)p Fn(=)24 b(0,)29 b(suc)m(h)f(that)g(\(2.5\))i(holds.)d(Then,)g (the)212 3847 y(v)m(ectors)i Fj(~)-42 b(r)562 3862 y Fi(k)630 3847 y Fn(=)19 b Fj(~)-39 b(a)774 3862 y Fi(k)837 3847 y Fn(+)20 b Fj(\032)975 3862 y Fi(k)1007 3823 y Fj(~)1017 3847 y(b)1056 3862 y Fi(k)1129 3847 y Fn(are)31 b(coplanar)f(and)g(not)g(parallel)f(to)i(eac)m(h)h(other.)e(In)g(fact,) i(let)e(us)g(de\014ne)1674 4011 y Fj(~)-42 b(v)29 b Fl(\021)c Fj(\013)m(~)-42 b(r)1945 4025 y Fh(1)2005 4011 y Fl(\000)17 b Fj(~)-42 b(r)2137 4025 y Fh(2)2196 4011 y Fn(+)20 b Fj(\014)r(~)-42 b(r)2384 4025 y Fh(3)2454 4011 y Fn(;)212 4174 y(from)30 b(\(2.5\))i(and)e(\(2.4\),)i(one)f(immediately)e(gets)i (that)1555 4338 y Fj(~)-42 b(v)24 b Fl(\001)15 b Fj(~)-40 b(c)1710 4352 y Fh(1)1775 4338 y Fn(=)22 b Fj(~)-42 b(v)24 b Fl(\001)15 b Fj(~)-40 b(c)2023 4352 y Fh(2)2088 4338 y Fn(=)22 b Fj(~)-42 b(v)24 b Fl(\001)15 b Fj(~)-40 b(c)2336 4352 y Fh(3)2401 4338 y Fn(=)25 b(0)31 b Fj(:)212 4501 y Fn(>F)-8 b(rom)36 b(the)g(ab)s(o)m(v)m(e)h(relations,)f(using)e(the)i (linear)e(indep)s(endence)g(of)2656 4477 y Fj(~)2666 4501 y(b)2705 4515 y Fh(1)2744 4501 y Fn(,)2795 4477 y Fj(~)2805 4501 y(b)2844 4515 y Fh(2)2884 4501 y Fn(,)2935 4477 y Fj(~)2945 4501 y(b)2984 4515 y Fh(3)3023 4501 y Fn(,)i(it)g(follo)m(ws)f(that)d Fj(~)-41 b(v)38 b Fn(=)3867 4482 y Fj(~)3874 4501 y Fn(0,)212 4614 y(whic)m(h)28 b(implies)f(that)j(the)c Fj(~)-42 b(r)1171 4629 y Fi(k)1214 4614 y Fn('s)29 b(are)h(coplanar)f(and)g(not)g(parallel)f(to)i(eac)m(h) h(other,)e(due)g(to)h(the)g(assumption)212 4727 y(on)g Fj(\013)h Fn(and)f Fj(\014)5 b Fn(.)31 b(In)e(conclusion,)g(w)m(e)i(ha) m(v)m(e)h(pro)m(v)m(ed)f(the)f(follo)m(wing)212 4899 y Fo(Lemma)j(A.1)46 b Fk(Given)25 b(the)g(ve)-5 b(ctors)20 b Fj(~)-39 b(a)1536 4913 y Fh(1)1576 4899 y Fk(,)19 b Fj(~)-40 b(a)1676 4913 y Fh(2)1716 4899 y Fk(,)19 b Fj(~)-39 b(a)1817 4913 y Fh(3)1856 4899 y Fk(,)1899 4875 y Fj(~)1909 4899 y(b)1948 4913 y Fh(1)1988 4899 y Fk(,)2031 4875 y Fj(~)2041 4899 y(b)2080 4913 y Fh(2)2119 4899 y Fk(,)2162 4875 y Fj(~)2172 4899 y(b)2211 4913 y Fh(3)2275 4899 y Fk(as)26 b(in)f(\(A.35\))h(\(with)2992 4875 y Fj(~)3003 4899 y(b)3042 4914 y Fi(k)3110 4899 y Fk(indep)-5 b(endent)26 b(ve)-5 b(ctors\),)212 5012 y(the)39 b(distanc)-5 b(es)36 b Fj(~)-42 b(r)803 5027 y Fi(k)881 5012 y Fn(=)30 b Fj(~)-40 b(a)1035 5027 y Fi(k)1102 5012 y Fn(+)24 b Fj(\032)1244 5027 y Fi(k)1277 4988 y Fj(~)1287 5012 y(b)1326 5027 y Fi(k)1407 5012 y Fk(ar)-5 b(e)39 b(c)-5 b(oplanar)41 b(and)e(not)g(p)-5 b(ar)g(al)5 b(lel)40 b(to)f(e)-5 b(ach)39 b(other)g(if)f(and)h(only)h(if)d(ther)-5 b(e)212 5125 y(exist)35 b Fj(\013)g Fk(and)g Fj(\014)5 b Fk(,)35 b(with)g Fj(\013\014)f Fl(6)p Fn(=)29 b(0)p Fk(,)34 b(such)h(that)h Fj(\032)1809 5139 y Fh(1)1848 5125 y Fk(,)f Fj(\032)1958 5139 y Fh(2)1997 5125 y Fk(,)f Fj(\032)2106 5139 y Fh(3)2180 5125 y Fk(verify)g(\(2.5\))i(and)g(\(2.4\).)f(The)g(quantities)f Fj(\013)h Fk(and)212 5237 y Fj(\014)k Fk(r)-5 b(epr)g(esent)35 b(the)f(r)-5 b(atios)36 b(b)-5 b(etwe)g(en)34 b(the)g(ar)-5 b(e)g(as)35 b(of)f(the)g(triangles)h Fj(n)2507 5251 y Fi(pq)2613 5237 y Fk(sp)-5 b(anne)g(d)36 b(by)e(the)g(ve)-5 b(ctors)31 b Fj(~)-42 b(r)3577 5251 y Fi(p)3617 5237 y Fk(,)31 b Fj(~)-43 b(r)3719 5251 y Fi(q)3791 5237 y Fk(\(se)-5 b(e)212 5350 y(\(A.34\)\).)2033 5964 y Fn(19)p eop %%Page: 20 20 20 19 bop 212 386 a Fg(A.1)112 b(Gauss)39 b(equation)212 558 y Fn(Inserting)i(the)i(expressions)e(for)h Fj(\013)h Fn(and)f Fj(\014)48 b Fn(giv)m(en)42 b(b)m(y)h(\(A.34\))h(inside)c(the) j(second)g(equation)f(in)f(\(2.5\),)212 671 y(w)m(e)36 b(obtain)f(\(2.6\).)j(Let)e(us)e(in)m(tro)s(duce)h(the)g(ratio)h Fj(\021)2015 685 y Fi(pq)2124 671 y Fn(b)s(et)m(w)m(een)g(the)g(area)g (of)g(the)g(conic)f(sector)i(spanned)212 784 y(b)s(et)m(w)m(een)28 b Fj(~)-42 b(r)604 798 y Fi(p)674 784 y Fn(and)27 b Fj(~)-42 b(r)892 798 y Fi(q)960 784 y Fn(and)30 b(the)h(area)g(of)f(the)h (corresp)s(onding)d(triangle)i(as)1850 1017 y Fj(\021)1895 1031 y Fi(pq)1994 1017 y Fl(\021)2100 955 y Fj(A)2168 969 y Fi(pq)p 2100 995 142 4 v 2107 1079 a Fj(n)2162 1093 y Fi(pq)2282 1017 y Fj(:)1382 b Fn(\(A.36\))212 1253 y(De\014ne)31 b(the)f(quan)m(tit)m(y)h Fj(P)38 b Fl(\021)1216 1217 y Fi(n)1259 1226 y Ff(12)p 1216 1232 108 4 v 1216 1285 a Fi(n)1259 1294 y Ff(23)1334 1253 y Fn(;)30 b(one)h(easily)f(obtains)1721 1501 y Fj(P)38 b Fn(=)1924 1440 y Fj(\014)p 1923 1480 59 4 v 1923 1564 a(\013)2017 1501 y Fn(=)2123 1440 y Fj(t)2156 1454 y Fh(12)p 2123 1480 108 4 v 2123 1564 a Fj(t)2156 1578 y Fh(23)2250 1440 y Fj(\021)2295 1454 y Fh(23)p 2250 1480 120 4 v 2250 1564 a Fj(\021)2295 1578 y Fh(12)2410 1501 y Fj(;)1254 b Fn(\(A.37\))212 1732 y(where)25 b(w)m(e)g(used)f Fj(A)868 1746 y Fi(pq)942 1732 y Fj(=)-5 b(A)1050 1746 y Fi(r)r(s)1146 1732 y Fn(=)25 b Fj(t)1275 1746 y Fi(pq)1349 1732 y Fj(=t)1427 1746 y Fi(r)r(s)1498 1732 y Fn(,)g(as)g(it)f(results) g(from)g(second)i(Kepler's)d(la)m(w)i(\(A.32\).)i(A)e(suitable)f(form) 212 1845 y(for)367 1808 y Fi(n)410 1817 y Ff(12)475 1808 y Fh(+)p Fi(n)573 1817 y Ff(23)p 367 1824 271 4 v 449 1876 a Fi(n)492 1885 y Ff(13)684 1845 y Fn(is)36 b(obtained)g(b)m(y)g (equating)g(the)h(expression)e(for)i(the)f(parameter)h Fj(p)g Fn(as)f(deriv)m(ed)g(in)f(\(A.33\),)212 1976 y(i.e.)h Fj(p)d Fn(=)558 1939 y Fi(A)611 1948 y Ff(12)675 1939 y Fi(A)728 1948 y Ff(23)p 558 1955 236 4 v 585 2007 a Fi(t)610 2016 y Ff(12)675 2007 y Fi(t)700 2016 y Ff(23)803 1976 y Fn(,)j(with)e(the)i(form)m(ula)f(obtained)f(b)m(y)i(computing)e (the)i(parameter)g Fj(p)f Fn(from)g(the)h(coplanar)212 2089 y(v)m(ectors)31 b Fj(~)-42 b(r)564 2103 y Fh(1)603 2089 y Fj(;)12 b(~)-42 b(r)684 2103 y Fh(2)724 2089 y Fj(;)12 b(~)-42 b(r)805 2103 y Fh(3)845 2089 y Fn(,)32 b(as)g(it)g(immediately)e(follo)m(ws)h(from)h(\(A.58\))i(b)s(elo)m(w)d (\(see)i([1],)g([2)q(]\).)f(More)h(precisely)-8 b(,)31 b(let)212 2202 y Fj(r)253 2217 y Fi(k)321 2202 y Fn(=)25 b Fl(j)m Fj(~)-42 b(r)483 2217 y Fi(k)526 2202 y Fl(j)30 b Fn(and)g(let)h(2)p Fj(f)980 2216 y Fi(pq)1083 2202 y Fn(b)s(e)f(the)h(angle)f(b)s(et)m(w)m(een)e Fj(~)-42 b(r)1993 2216 y Fi(p)2063 2202 y Fn(and)27 b Fj(~)-42 b(r)2281 2216 y Fi(q)2319 2202 y Fn(;)30 b(then,)h(one)f(has)1066 2411 y Fj(p)25 b Fn(=)1940 2350 y Fj(n)1995 2364 y Fh(12)2069 2350 y Fj(n)2124 2364 y Fh(23)2199 2350 y Fj(n)2254 2364 y Fh(13)p 1243 2390 1782 4 v 1243 2474 a Fn(2\()p Fj(n)1378 2488 y Fh(12)1474 2474 y Fn(+)19 b Fj(n)1619 2488 y Fh(23)1714 2474 y Fl(\000)h Fj(n)1860 2488 y Fh(13)1934 2474 y Fn(\))p Fj(r)2010 2488 y Fh(1)2050 2474 y Fj(r)2091 2488 y Fh(2)2130 2474 y Fj(r)2171 2488 y Fh(3)2226 2474 y Fn(cos)c Fj(f)2408 2488 y Fh(12)2497 2474 y Fn(cos)g Fj(f)2679 2488 y Fh(23)2769 2474 y Fn(cos)f Fj(f)2950 2488 y Fh(13)3065 2411 y Fj(:)212 2642 y Fn(>F)-8 b(rom)31 b(the)f(ab)s(o)m(v)m(e)i(relations,)e(one)g (obtains)g(that)1507 2804 y Fj(n)1562 2818 y Fh(12)1656 2804 y Fn(+)20 b Fj(n)1802 2818 y Fh(23)p 1507 2845 370 4 v 1627 2928 a Fj(n)1682 2942 y Fh(13)1912 2866 y Fn(=)25 b Fj(\013)20 b Fn(+)g Fj(\014)31 b Fn(=)25 b(1)20 b(+)2550 2804 y Fj(Q)p 2521 2845 129 4 v 2521 2929 a Fn(2)p Fj(r)2610 2898 y Fh(3)2607 2954 y(2)3689 2866 y Fn(\(A.38\))212 3112 y(where)30 b Fj(Q)g Fn(is)g(de\014ned)f(as)h(in)f(\(2.7\))k(and)c Fj(r)1637 3079 y Fh(3)1634 3135 y(2)1707 3112 y Fn(is)g(related)h(to)h Fj(\032)2259 3126 y Fh(2)2329 3112 y Fn(b)m(y)1026 3299 y Fj(r)1070 3262 y Fh(3)1067 3322 y(2)1134 3299 y Fn(=)25 b Fl(j)-6 b Fj(~)-39 b(a)1303 3313 y Fh(2)1363 3299 y Fn(+)20 b Fj(\032)1501 3313 y Fh(2)1530 3275 y Fj(~)1540 3299 y(b)1579 3313 y Fh(2)1618 3299 y Fl(j)1643 3262 y Fh(3)1708 3299 y Fn(=)25 b(\()p Fj(a)1887 3262 y Fh(2)1887 3322 y(2)1947 3299 y Fn(+)20 b(2)-6 b Fj(~)-39 b(a)2131 3313 y Fh(2)2191 3299 y Fl(\001)2226 3275 y Fj(~)2237 3299 y(b)2276 3313 y Fh(2)2315 3299 y Fj(\032)2362 3313 y Fh(2)2422 3299 y Fn(+)20 b Fj(\032)2560 3262 y Fh(2)2560 3322 y(2)2599 3299 y Fn(\))2634 3262 y Fh(3)p Fi(=)p Fh(2)2770 3299 y Fl(\021)25 b Fj(h)p Fn(\()p Fj(\032)3000 3313 y Fh(2)3040 3299 y Fn(\))31 b Fj(:)558 b Fn(\(A.39\))212 3486 y(Using)30 b(\(A.37\))i(and)e(\(A.38\))i(one)f(obtains)1123 3715 y Fj(\013)25 b Fn(=)1403 3654 y(1)p 1312 3694 228 4 v 1312 3777 a(1)c(+)f Fj(P)1550 3715 y Fn(\(1)h(+)1780 3654 y Fj(Q)p 1752 3694 129 4 v 1752 3778 a Fn(2)p Fj(r)1841 3747 y Fh(3)1838 3803 y(2)1890 3715 y Fn(\))31 b Fj(;)197 b(\014)30 b Fn(=)2444 3654 y Fj(P)p 2365 3694 228 4 v 2365 3777 a Fn(1)21 b(+)f Fj(P)2603 3715 y Fn(\(1)h(+)2833 3654 y Fj(Q)p 2805 3694 129 4 v 2805 3778 a Fn(2)p Fj(r)2894 3747 y Fh(3)2891 3803 y(2)2943 3715 y Fn(\))31 b Fj(:)655 b Fn(\(A.40\))212 3954 y(>F)-8 b(rom)41 b(the)f(previous)e(relations,)i (\(2.8\))i(and)d(\(2.9\))j(easily)d(follo)m(w.)h(Equation)f(\(2.8\))j (is)d(the)h Fd(celebrated)212 4066 y Fn(Gauss)30 b(equation,)h(whic)m (h)e(is)g(an)i(implicit)c(equation)j(for)g Fj(\032)2246 4080 y Fh(2)2286 4066 y Fn(.)212 4179 y(Notice)i(that)f(for)g(eac)m(h)h (\()p Fj(P)s(;)15 b(Q)p Fn(\))27 b Fl(2)e Fo(R)1474 4146 y Fh(2)1474 4202 y(+)1534 4179 y Fn(,)31 b(the)g(form)m(ula)f(\(2.8\),) i(in)m(terpreted)f(as)g(an)f(equation)h(for)f Fj(\032)3588 4193 y Fh(2)3628 4179 y Fn(,)h(can)g(b)s(e)212 4292 y(reduced)36 b(to)i(an)f(algebraic)g(equation)g(of)g(degree)h Fk(eight)p Fn(,)g(whic)m(h)e(admits)g(a)h(\014nite)g(n)m(um)m(b)s(er)e(of)j (solutions.)212 4405 y(This)29 b(remark)h(justi\014es)f(the)h(follo)m (wing)212 4578 y Fo(De\014nition)55 b(1.)h Fn(Let)48 b Fl(Z)55 b Fn(b)s(e)47 b(the)h(set)h(of)f(\()p Fj(P)s(;)15 b(Q;)g(\032)2049 4592 y Fh(2)2089 4578 y Fn(\))55 b Fl(2)f Fo(R)2372 4545 y Fh(3)2372 4601 y(+)2479 4578 y Fn(whic)m(h)47 b(are)h(solutions)e(of)j(the)f(function)212 4691 y(\()p Fj(P)s(;)15 b(Q;)g(\032)507 4705 y Fh(2)547 4691 y Fn(\))26 b Fl(!)f Fj(\032)771 4705 y Fh(2)831 4691 y Fl(\000)20 b Fj(G)p Fn(\()p Fj(P)s(;)15 b(Q;)g(\032)1288 4705 y Fh(2)1329 4691 y Fn(\).)31 b(Let)f Fl(A)g Fn(b)s(e)g(a)h(subset)f(of)g Fl(Z)38 b Fn(suc)m(h)30 b(that:)401 4864 y Fj(i)p Fn(\))j(de\014ning)d Fj(\032)892 4878 y Fh(1)931 4864 y Fn(,)i Fj(\032)1035 4878 y Fh(3)1107 4864 y Fn(b)m(y)f(means)h(of)g(\(2.9\))i(and)e (letting)c Fj(~)-42 b(r)2347 4878 y Fh(1)2387 4864 y Fn(,)29 b Fj(~)-42 b(r)2485 4878 y Fh(2)2524 4864 y Fn(,)29 b Fj(~)-42 b(r)2622 4878 y Fh(3)2694 4864 y Fn(as)32 b(in)e(\(A.35\),)35 b(then)28 b Fj(~)-42 b(r)3476 4878 y Fh(1)3516 4864 y Fn(,)29 b Fj(~)-42 b(r)3614 4878 y Fh(2)3653 4864 y Fn(,)30 b Fj(~)-42 b(r)3752 4878 y Fh(3)3823 4864 y Fn(are)212 4977 y(coplanar)35 b(and)g(not)g(parallel)f(to)i(eac) m(h)g(other;)g(let)f Fl(C)40 b Fn(b)s(e)35 b(the)h(conic)f(section)g (\(to)i(whic)m(h)d(w)m(e)h(will)e(refer)i(as)212 5090 y Fk(the)g(c)-5 b(onic)35 b(se)-5 b(ction)36 b(asso)-5 b(ciate)g(d)37 b(to)e Fn(\()p Fj(P)s(;)15 b(Q)p Fn(\)\))34 b(de\014ned)d(through)e Fj(~)-42 b(r)2463 5104 y Fh(1)2503 5090 y Fn(,)29 b Fj(~)-42 b(r)2601 5104 y Fh(2)2641 5090 y Fn(,)30 b Fj(~)-42 b(r)2740 5104 y Fh(3)2812 5090 y Fn(\(whic)m(h)31 b(can)i(b)s(e)f(view)m(ed)g(as)h(the)212 5203 y(co)s(ordinates)d(of)h(three)f(p)s(oin)m(ts)g(with)f(resp)s(ect)h (to)h(a)g(fo)s(cus\).)f(Let)957 5445 y Fj(P)1028 5408 y Fe(0)1077 5445 y Fn(=)1183 5384 y Fj(t)1216 5398 y Fh(12)p 1183 5424 108 4 v 1183 5508 a Fj(t)1216 5522 y Fh(23)1310 5384 y Fj(\021)1355 5398 y Fh(23)p 1310 5424 120 4 v 1310 5508 a Fj(\021)1355 5522 y Fh(12)1471 5445 y Fj(;)197 b(Q)1765 5408 y Fe(0)1813 5445 y Fn(=)2362 5384 y Fj(t)2395 5398 y Fh(12)2470 5384 y Fj(t)2503 5398 y Fh(23)2608 5384 y Fj(r)2652 5351 y Fh(2)2649 5407 y(2)p 1919 5424 1215 4 v 1919 5508 a Fj(r)1960 5522 y Fh(1)2000 5508 y Fj(r)2041 5522 y Fh(3)2080 5508 y Fj(\021)2125 5522 y Fh(12)2200 5508 y Fj(\021)2245 5522 y Fh(23)2335 5508 y Fn(cos)16 b Fj(f)2517 5522 y Fh(12)2606 5508 y Fn(cos)g Fj(f)2788 5522 y Fh(23)2877 5508 y Fn(cos)g Fj(f)3059 5522 y Fh(13)3174 5445 y Fj(;)2033 5964 y Fn(20)p eop %%Page: 21 21 21 20 bop 212 386 a Fn(where)27 b Fj(\021)517 400 y Fi(pq)618 386 y Fn(are)g(the)h(ratios)f(b)s(et)m(w)m(een)g(the)h(areas)g(of)f (the)g(conic)h(sectors)g(on)f Fl(C)5 b Fn(,)27 b(de\014ned)f(through)e Fj(~)-42 b(r)3600 400 y Fi(p)3666 386 y Fn(and)24 b Fj(~)-42 b(r)3881 400 y Fi(q)3919 386 y Fn(,)212 499 y(and)30 b(the)g(corresp)s(onden)m(t)g(triangles,)g(while)e(2)p Fj(f)1854 513 y Fi(pq)1958 499 y Fn(are)j(the)g(angles)f(b)s(et)m(w)m (een)e Fj(~)-42 b(r)2932 513 y Fi(p)3002 499 y Fn(and)27 b Fj(~)-42 b(r)3220 513 y Fi(q)3258 499 y Fn(;)401 672 y Fj(ii)p Fn(\))31 b(there)g(exists)f Fj(\032)1060 639 y Fe(0)1060 695 y Fh(2)1125 672 y Fl(2)25 b Fo(R)1289 686 y Fh(+)1348 672 y Fn(,)31 b(suc)m(h)f(that)h(\()p Fj(P)1912 639 y Fe(0)1935 672 y Fj(;)15 b(Q)2047 639 y Fe(0)2071 672 y Fj(;)g(\032)2158 639 y Fe(0)2158 695 y Fh(2)2198 672 y Fn(\))25 b Fl(2)g(Z)7 b Fn(.)212 845 y(The)25 b(map)h Fj(F)650 859 y Fi(t)675 868 y Ff(12)741 859 y Fi(;t)786 868 y Ff(23)880 845 y Fn(:)g(\()p Fj(P)s(;)15 b(Q)p Fn(\))26 b Fl(!)f Fn(\()p Fj(P)1422 812 y Fe(0)1446 845 y Fj(;)15 b(Q)1558 812 y Fe(0)1581 845 y Fn(\))26 b(is)f(called)g(the)h Fk(Gauss)j(map)p Fn(.)f(W)-8 b(e)27 b(are)f(\014nally)d(led)i(to)i(the)f(follo)m(wing)212 1056 y Fo(Prop)s(osition)36 b(A.1)46 b Fk(A)30 b(c)-5 b(onic)30 b(se)-5 b(ction)31 b Fl(C)k Fk(on)30 b(which)h(a)f(Keplerian) h(motion)g Fj(t)26 b Fl(!)c Fj(~)-42 b(r)r Fn(\()p Fj(t)p Fn(\))31 b Fk(takes)f(plac)-5 b(e)31 b(\(wher)-5 b(e)209 1169 y Fj(~)-42 b(r)s Fn(\()p Fj(t)324 1183 y Fh(2)363 1169 y Fn(\))26 b(=)c Fj(~)-42 b(r)561 1183 y Fh(2)626 1169 y Fn(=)19 b Fj(~)-40 b(a)769 1183 y Fh(2)827 1169 y Fn(+)18 b Fj(\032)963 1183 y Fh(2)992 1145 y Fj(~)1002 1169 y(b)1041 1183 y Fh(2)1112 1169 y Fk(for)33 b(some)f Fj(\032)1535 1183 y Fh(2)1574 1169 y Fk(\))g(is)g(a)g(solution)h(of)f (Gauss)g(pr)-5 b(oblem)34 b(if)d(and)i(only)f(if)f(ther)-5 b(e)33 b(exists)f(a)212 1282 y(\014xe)-5 b(d)34 b(p)-5 b(oint)34 b Fn(\()p Fj(P)s(;)15 b(Q)p Fn(\))33 b Fk(of)g(the)g(Gauss)g (map,)h(with)f Fl(C)38 b Fk(b)-5 b(eing)32 b(its)h(asso)-5 b(ciate)g(d)35 b(c)-5 b(onic)33 b(se)-5 b(ction.)212 1552 y Fo(Pro)s(of:)35 b Fn(It)30 b(is)e(su\016cien)m(t)h(to)h(pro)m(v) m(e)h(that)f(an)m(y)g(\014xed)f(p)s(oin)m(t)f(of)i Fj(F)2436 1566 y Fi(t)2461 1575 y Ff(12)2527 1566 y Fi(;t)2572 1575 y Ff(23)2670 1552 y Fn(pro)m(vides)f(a)h(solution)e(of)i(the)f (Gauss)212 1665 y(problem.)f(T)-8 b(o)30 b(this)e(end,)h(let)g Fl(C)34 b Fn(b)s(e)29 b(the)g(conic)g(section)g(determined)f(b)m(y)h(a) h(\014xed)f(p)s(oin)m(t)f(of)h(the)h(Gauss)f(map)212 1778 y(\()p Fj(P)s(;)15 b(Q)p Fn(\).)28 b(Let)f(us)e(denote)i(b)m(y)g Fj(n)1246 1792 y Fi(pq)1319 1778 y Fj(=)p Fn(2,)g Fj(A)1529 1792 y Fi(pq)1603 1778 y Fj(=)p Fn(2)g(and)f(2)p Fj(f)1983 1792 y Fi(pq)2083 1778 y Fn(the)h(areas)g(of)g(the)f(triangles,)g(the)h (areas)g(of)g(the)f(conic)212 1891 y(sectors)f(and)f(the)g(angles)g (spanned)f(b)m(y)e Fj(~)-42 b(r)1602 1905 y Fi(p)1642 1891 y Fn(,)21 b Fj(~)-42 b(r)1732 1905 y Fi(q)1770 1891 y Fn(,)25 b(resp)s(ectiv)m(ely)-8 b(.)24 b(Let)h Fj(p)e Fn(b)s(e)h(the)g(parameter)h(of)f Fl(C)30 b Fn(and)23 b(let)h Fj(t)3753 1858 y Fe(0)3753 1913 y Fi(pq)3851 1891 y Fn(b)s(e)212 2004 y(the)33 b(time)f(o)s(ccurring)f(to)i Fj(C)39 b Fn(\(mo)m(ving)32 b(on)g Fl(C)38 b Fn(through)31 b(a)i(Keplerian)e(motion)h Fj(t)c Fl(!)e Fj(~)-42 b(r)r Fn(\()p Fj(t)p Fn(\),)33 b(with)28 b Fj(~)-42 b(r)s Fn(\()p Fj(t)3626 2018 y Fh(2)3665 2004 y Fn(\))29 b(=)d Fj(~)-42 b(r)3870 2018 y Fh(2)3909 2004 y Fn(\))212 2117 y(to)39 b(reac)m(h)e Fj(~)-42 b(r)621 2131 y Fi(q)697 2117 y Fn(starting)38 b(from)d Fj(~)-42 b(r)1308 2131 y Fi(p)1348 2117 y Fn(.)38 b(Due)h(to)g(the)g(de\014nition)d(of)j Fl(C)5 b Fn(,)39 b(it)f(remains)f(to)i(pro)m(v)m(e)g(that)g Fj(t)3591 2084 y Fe(0)3591 2139 y Fi(pq)3703 2117 y Fn(=)g Fj(t)3846 2131 y Fi(pq)3919 2117 y Fn(.)212 2230 y(Without)31 b(loss)f(of)g(generalit)m(y)-8 b(,)32 b(w)m(e)f(ma)m(y)g(assume)g(that) g(the)g(motion)f(tak)m(es)i(place)f(coun)m(terclo)s(c)m(kwise)g(from) 209 2361 y Fj(~)-42 b(r)253 2375 y Fh(1)323 2361 y Fn(to)28 b Fj(~)-42 b(r)475 2375 y Fh(2)514 2361 y Fn(,)31 b(so)g(that)g Fj(t)912 2328 y Fe(0)912 2384 y Fh(12)1011 2361 y Fl(\025)25 b Fn(0.)31 b(The)f(ratios)g Fj(\021)1693 2375 y Fi(pq)1792 2361 y Fn(=)25 b Fj(A)1956 2375 y Fi(pq)2030 2361 y Fj(=n)2130 2375 y Fi(pq)2234 2361 y Fn(v)m(erify)30 b Fj(\021)2532 2375 y Fi(pq)2631 2361 y Fn(=)2737 2265 y Fe(p)p 2795 2265 36 3 v 2795 2307 a Fi(pt)2856 2283 y Fb(0)2856 2323 y Fa(pq)p 2737 2340 187 4 v 2775 2392 a Fi(n)2818 2400 y Fa(pq)2933 2361 y Fn(,)g(with)853 2631 y Fj(p)25 b Fn(=)1727 2570 y Fj(n)1782 2584 y Fh(12)1856 2570 y Fj(n)1911 2584 y Fh(23)1985 2570 y Fj(n)2040 2584 y Fh(13)p 1030 2610 1782 4 v 1030 2694 a Fn(2\()p Fj(n)1165 2708 y Fh(12)1260 2694 y Fn(+)20 b Fj(n)1406 2708 y Fh(23)1500 2694 y Fl(\000)g Fj(n)1646 2708 y Fh(13)1721 2694 y Fn(\))p Fj(r)1797 2708 y Fh(1)1836 2694 y Fj(r)1877 2708 y Fh(2)1917 2694 y Fj(r)1958 2708 y Fh(3)2013 2694 y Fn(cos)15 b Fj(f)2194 2708 y Fh(12)2284 2694 y Fn(cos)h Fj(f)2466 2708 y Fh(23)2555 2694 y Fn(cos)g Fj(f)2737 2708 y Fh(13)2846 2631 y Fn(=)2952 2570 y Fj(A)3020 2584 y Fh(12)3095 2570 y Fj(A)3163 2584 y Fh(23)p 2952 2610 286 4 v 2988 2694 a Fj(t)3021 2662 y Fe(0)3021 2718 y Fh(12)3095 2694 y Fj(t)3128 2662 y Fe(0)3128 2718 y Fh(23)3278 2631 y Fj(:)212 2879 y Fn(Using)30 b(the)g(\014xed)g(p)s(oin)m(t)f(condition)g(and)h(the)h(ab)s(o)m(v)m(e) g(relations,)f(w)m(e)h(obtain)1004 3126 y Fj(P)38 b Fn(=)1206 3065 y Fj(t)1239 3079 y Fh(12)1314 3065 y Fj(t)1347 3032 y Fe(0)1347 3088 y Fh(23)p 1206 3105 216 4 v 1206 3188 a Fj(t)1239 3202 y Fh(23)1314 3188 y Fj(t)1347 3157 y Fe(0)1347 3213 y Fh(12)1471 3065 y Fj(n)1526 3079 y Fh(12)p 1471 3105 130 4 v 1471 3188 a Fj(n)1526 3202 y Fh(23)1641 3126 y Fj(;)197 b(Q)25 b Fn(=)2066 3065 y Fj(t)2099 3079 y Fh(12)2174 3065 y Fj(t)2207 3079 y Fh(23)p 2066 3105 216 4 v 2066 3188 a Fj(t)2099 3157 y Fe(0)2099 3213 y Fh(12)2174 3188 y Fj(t)2207 3157 y Fe(0)2207 3213 y Fh(23)2321 3126 y Fn(2)p Fj(r)2410 3088 y Fh(3)2407 3148 y(2)2480 3126 y Fn(\()2525 3065 y Fj(n)2580 3079 y Fh(12)2675 3065 y Fn(+)20 b Fj(n)2821 3079 y Fh(23)p 2525 3105 370 4 v 2646 3188 a Fj(n)2701 3202 y Fh(13)2925 3126 y Fl(\000)g Fn(1\))31 b Fj(:)537 b Fn(\(A.41\))212 3374 y(>F)-8 b(rom)31 b(these)g(expressions)e(and)h(from)f(Lemma)i(A.1,)g(it)f(follo)m(ws)g (that)616 3551 y Fj(n)671 3565 y Fh(23)p 616 3592 130 4 v 616 3675 a Fj(n)671 3689 y Fh(13)838 3613 y Fn(=)83 b Fj(\013)25 b Fn(=)1272 3551 y(1)p 1181 3592 228 4 v 1181 3675 a(1)c(+)f Fj(P)1419 3613 y Fn(\(1)h(+)1649 3551 y Fj(Q)p 1621 3592 129 4 v 1621 3676 a Fn(2)p Fj(r)1710 3645 y Fh(3)1707 3701 y(2)1759 3613 y Fn(\))26 b(=)2146 3551 y(1)p 1926 3592 486 4 v 1926 3703 a(1)20 b(+)2092 3652 y Fi(t)2117 3661 y Ff(12)2183 3652 y Fi(t)2208 3629 y Fb(0)2208 3675 y Ff(23)p 2092 3681 182 4 v 2092 3735 a Fi(t)2117 3744 y Ff(23)2183 3735 y Fi(t)2208 3712 y Fb(0)2208 3758 y Ff(12)2293 3666 y Fi(n)2336 3675 y Ff(12)p 2293 3681 108 4 v 2293 3734 a Fi(n)2336 3743 y Ff(23)2421 3613 y Fn([1)h(+)2613 3551 y Fj(t)2646 3565 y Fh(12)2720 3551 y Fj(t)2753 3565 y Fh(23)p 2613 3592 216 4 v 2613 3675 a Fj(t)2646 3644 y Fe(0)2646 3700 y Fh(12)2720 3675 y Fj(t)2753 3644 y Fe(0)2753 3700 y Fh(23)2838 3613 y Fn(\()2883 3551 y Fj(n)2938 3565 y Fh(12)3033 3551 y Fn(+)f Fj(n)3179 3565 y Fh(23)p 2883 3592 370 4 v 3003 3675 a Fj(n)3058 3689 y Fh(13)3283 3613 y Fl(\000)g Fn(1\)])31 b Fj(;)616 3920 y(n)671 3934 y Fh(12)p 616 3960 130 4 v 616 4044 a Fj(n)671 4058 y Fh(13)838 3982 y Fn(=)83 b Fj(\014)30 b Fn(=)1257 3920 y Fj(P)p 1179 3960 228 4 v 1179 4044 a Fn(1)21 b(+)f Fj(P)1417 3982 y Fn(\(1)h(+)1647 3920 y Fj(Q)p 1619 3960 129 4 v 1619 4045 a Fn(2)p Fj(r)1708 4013 y Fh(3)1705 4069 y(2)1757 3982 y Fn(\))26 b(=)2012 3842 y Fi(t)2037 3851 y Ff(12)2102 3842 y Fi(t)2127 3819 y Fb(0)2127 3864 y Ff(23)p 2012 3871 182 4 v 2012 3925 a Fi(t)2037 3934 y Ff(23)2102 3925 y Fi(t)2127 3902 y Fb(0)2127 3947 y Ff(12)2213 3855 y Fi(n)2256 3864 y Ff(12)p 2213 3871 108 4 v 2213 3923 a Fi(n)2256 3932 y Ff(23)p 1923 3960 486 4 v 1923 4071 a Fn(1)21 b(+)2090 4021 y Fi(t)2115 4030 y Ff(12)2181 4021 y Fi(t)2206 3998 y Fb(0)2206 4043 y Ff(23)p 2090 4050 182 4 v 2090 4104 a Fi(t)2115 4113 y Ff(23)2181 4104 y Fi(t)2206 4081 y Fb(0)2206 4126 y Ff(12)2291 4034 y Fi(n)2334 4043 y Ff(12)p 2291 4050 108 4 v 2291 4103 a Fi(n)2334 4112 y Ff(23)2419 3982 y Fn([1)g(+)2611 3920 y Fj(t)2644 3934 y Fh(12)2718 3920 y Fj(t)2751 3934 y Fh(23)p 2611 3960 216 4 v 2611 4044 a Fj(t)2644 4013 y Fe(0)2644 4069 y Fh(12)2718 4044 y Fj(t)2751 4013 y Fe(0)2751 4069 y Fh(23)2836 3982 y Fn(\()2881 3920 y Fj(n)2936 3934 y Fh(12)3030 3920 y Fn(+)f Fj(n)3176 3934 y Fh(23)p 2881 3960 370 4 v 3001 4044 a Fj(n)3056 4058 y Fh(13)3281 3982 y Fl(\000)g Fn(1\)])31 b Fj(:)156 b Fn(\(A.42\))212 4325 y(T)-8 b(aking)26 b(the)g(ratio)g(of)g(the)g (previous)e(equations,)i(w)m(e)h(get)2199 4275 y Fi(t)2224 4284 y Ff(12)2320 4275 y Fi(t)2345 4252 y Fb(0)2345 4297 y Ff(23)p 2199 4304 212 4 v 2199 4358 a Fi(t)2224 4367 y Ff(23)2320 4358 y Fi(t)2345 4335 y Fb(0)2345 4380 y Ff(12)2445 4325 y Fn(=)e(1.)i(Therefore,)f(de\014ning)e Fj(\037)h Fl(\021)g Fj(t)3621 4339 y Fh(12)3695 4325 y Fj(=t)3773 4292 y Fe(0)3773 4348 y Fh(12)3874 4325 y Fn(=)212 4458 y Fj(t)245 4472 y Fh(23)320 4458 y Fj(=t)398 4425 y Fe(0)398 4482 y Fh(23)473 4458 y Fn(,)31 b(w)m(e)h(conclude)e (the)i(pro)s(of)e(b)m(y)h(sho)m(wing)f(that)i Fj(\037)27 b Fn(=)f(1.)32 b(Adding)d(the)i(t)m(w)m(o)i(equations)e(in)f(\(A.42\))j (w)m(e)212 4571 y(obtain:)1398 4633 y Fj(n)1453 4647 y Fh(12)1547 4633 y Fn(+)20 b Fj(n)1693 4647 y Fh(23)p 1398 4673 370 4 v 1518 4757 a Fj(n)1573 4771 y Fh(13)1803 4694 y Fn(=)25 b(1)20 b(+)g Fj(\037)2112 4657 y Fh(2)2152 4694 y Fn(\()2197 4633 y Fj(n)2252 4647 y Fh(12)2346 4633 y Fn(+)g Fj(n)2492 4647 y Fh(23)p 2197 4673 V 2317 4757 a Fj(n)2372 4771 y Fh(13)2597 4694 y Fl(\000)g Fn(1\))212 4907 y(from)30 b(whic)m(h)f(it)h(follo)m(ws)f(that)i Fj(\037)1330 4874 y Fh(2)1395 4907 y Fn(=)25 b(1;)31 b(recalling)e(that)i Fj(\037)25 b Fl(\025)g Fn(0,)31 b(w)m(e)g(obtain)f Fj(\037)25 b Fn(=)g(1.)212 5153 y Fo(Remark)34 b(A.1)46 b Fn(Notice)39 b(that)34 b Fj(~)-40 b(a)1361 5167 y Fh(1)1401 5153 y Fn(,)32 b Fj(~)-39 b(a)1512 5167 y Fh(2)1552 5153 y Fn(,)32 b Fj(~)-39 b(a)1663 5167 y Fh(3)1741 5153 y Fn(can)38 b(b)s(e)g(in)m(terpreted)f(as)i(the)f(p)s (osition)e(v)m(ectors)k(at)f(times)f Fj(t)3880 5167 y Fh(1)3919 5153 y Fn(,)212 5266 y Fj(t)245 5280 y Fh(2)284 5266 y Fn(,)j Fj(t)383 5280 y Fh(3)463 5266 y Fn(of)f(the)h(p)s(oin)m (t)f Fj(O)j Fn(on)d(the)h(surface)f(of)h(the)g(Earth)f(\(the)h Fk(Observatory)p Fn(,)h(where)e(the)h(observ)-5 b(ations)212 5379 y(are)38 b(p)s(erformed\))e(with)g(resp)s(ect)h(to)h(the)f(Sun.)f (Assuming)g(that)i(the)f(cen)m(ter)h(of)g(the)f(Earth)g Fj(E)43 b Fn(mo)m(v)m(es)38 b(of)212 5492 y(Keplerian)32 b(motion)i(\(with)f(mean)h(motion)g Fj(n)1801 5506 y Fi(E)1892 5492 y Fn(=)d(\(1)24 b(+)e Fj(\026)2246 5506 y Fi(E)2305 5492 y Fn(\))2340 5459 y Fh(1)p Fi(=)p Fh(2)2451 5492 y Fn(\))34 b(on)g(an)g(ellipse)e Fl(C)3105 5506 y Fi(E)3199 5492 y Fn(and)h(assuming)g(that)2033 5964 y(21)p eop %%Page: 22 22 22 21 bop 212 386 a Fn(the)28 b(plane)f(of)h(motion)g(\(i.e.,)h(the)f Fk(Ecliptic)5 b Fn(\))28 b(coincides)f(with)g(the)h(\()p Fj(x;)15 b(y)s Fn(\))29 b(plane)e(of)h(a)g(reference)h(frame)f(with)212 499 y(the)j(Sun)d(at)k(the)e(origin,)f(w)m(e)i(ha)m(v)m(e:)1470 704 y Fj(~)-39 b(a)1524 719 y Fi(k)1592 704 y Fn(=)19 b Fj(~)-39 b(a)1736 666 y Fi(E)1736 726 y(k)1816 704 y Fn(+)15 b Fj(~)-40 b(a)1955 666 y Fi(O)1955 726 y(k)2045 704 y Fj(;)197 b(k)28 b Fn(=)d(1)p Fj(;)15 b Fn(2)p Fj(;)g Fn(3)p Fj(;)1011 b Fn(\(A.43\))212 908 y(where)33 b Fj(~)-39 b(a)532 875 y Fi(E)532 934 y(k)631 908 y Fn(is)39 b(the)g(v)m(ector)j (joining)37 b Fj(E)45 b Fn(and)39 b(the)h(Sun)e(at)i(time)f Fj(t)2513 923 y Fi(k)2556 908 y Fn(,)g(while)32 b Fj(~)-39 b(a)2915 875 y Fi(O)2915 934 y(k)3014 908 y Fn(joins)38 b Fj(E)45 b Fn(and)39 b Fj(O)j Fn(at)f(time)212 1021 y Fj(t)245 1036 y Fi(k)288 1021 y Fn(,)32 b(including)d(the)k(e\013ect) h(of)f(the)g(rotation)g(of)f(the)h(Earth)f(\(considered)g(as)h(a)g (rigid)d(sphere)i(of)h(radius)d Fj(R)q Fn(\))212 1134 y(around)c(a)h(\014xed)f(axis)g(\(the)i(so{called)f Fk(diurnal)j (motion)p Fn(,)f(see)e([1)q(],)g([2)q(])g(for)f(more)h(details\).)g(If) f(w)m(e)h(neglect)22 b Fj(~)-39 b(a)3885 1101 y Fi(O)3885 1160 y(k)212 1247 y Fn(in)30 b(\(A.43\))k(and)d(w)m(e)h(let)f Fj(\026)1106 1261 y Fi(E)1193 1247 y Fn(=)c(0,)32 b(the)g(orbit)e(of)i (the)g(Earth)f(turns)f(out)i(to)g(b)s(e)f(a)h(solution)e(of)i(the)g (problem)212 1359 y(for)i(all)475 1335 y Fj(~)486 1359 y(b)525 1373 y Fh(1)564 1359 y Fn(,)613 1335 y Fj(~)624 1359 y(b)663 1373 y Fh(2)702 1359 y Fn(,)751 1335 y Fj(~)762 1359 y(b)801 1373 y Fh(3)875 1359 y Fn(.)g(In)g(fact,)h(the)g (coplanarit)m(y)f(condition)f(for)c Fj(~)-40 b(a)2494 1373 y Fh(1)2534 1359 y Fn(,)29 b Fj(~)-40 b(a)2641 1373 y Fh(2)2681 1359 y Fn(,)29 b Fj(~)-40 b(a)2788 1373 y Fh(3)2862 1359 y Fn(can)35 b(b)s(e)f(obtained)g(from)g(\(2.9\))212 1472 y(just)h(replacing)d Fj(~)-42 b(r)833 1487 y Fi(k)912 1472 y Fn(with)29 b Fj(~)-40 b(a)1172 1487 y Fi(k)1215 1472 y Fn(,)36 b Fj(\032)1323 1487 y Fi(k)1402 1472 y Fn(with)e(0)j(and)e(\()p Fj(P)s(;)15 b(Q)p Fn(\))37 b(with)d(\()p Fj(P)2463 1486 y Fi(E)2524 1472 y Fj(;)15 b(Q)2636 1486 y Fi(E)2695 1472 y Fn(\),)37 b(where)e Fj(P)3118 1486 y Fi(E)3178 1472 y Fj(;)15 b(Q)3290 1486 y Fi(E)3386 1472 y Fn(are)36 b(the)g(Gauss)212 1585 y(parameters)29 b(corresp)s(onding)d(to)j(the)g(Earth.)f(W)-8 b(e)30 b(w)m(an)m(t)f(to)g(sho)m(w)f(that)h(\()p Fj(P)2804 1599 y Fi(E)2865 1585 y Fj(;)15 b(Q)2977 1599 y Fi(E)3037 1585 y Fn(\))28 b(is)g(a)g(\014xed)g(p)s(oin)m(t)g(of)g(the)212 1698 y(Gauss)i(map,)h(called)e(the)i Fk(trivial)i(\014xe)-5 b(d)34 b(p)-5 b(oint)p Fn(.)32 b(W)-8 b(e)31 b(remark)f(that)h(for)f Fj(\032)2704 1713 y Fi(k)2772 1698 y Fn(=)25 b(0)31 b(one)g(has)441 1942 y Fj(~)-40 b(c)485 1956 y Fh(1)545 1942 y Fl(\001)15 b Fj(~)-40 b(a)638 1956 y Fh(1)761 1942 y Fn(=)929 1880 y Fj(P)987 1894 y Fi(E)1067 1880 y Fn(+)20 b(1)p 924 1921 284 4 v 924 2017 a(1)h(+)1091 1976 y Fi(Q)1147 1987 y Fa(E)p 1091 1996 108 4 v 1091 2054 a Fh(2)p Fi(a)1163 2031 y Ff(3)1163 2077 y(2)1213 1942 y Fj(~)-40 b(c)1257 1956 y Fh(1)1317 1942 y Fl(\001)15 b Fj(~)-39 b(a)1411 1956 y Fh(2)1470 1942 y Fl(\000)20 b Fj(P)1619 1956 y Fi(E)1674 1942 y Fj(~)-40 b(c)1718 1956 y Fh(1)1778 1942 y Fl(\001)15 b Fj(~)-39 b(a)1872 1956 y Fh(3)1941 1942 y Fj(;)193 b(~)-40 b(c)2203 1956 y Fh(2)2263 1942 y Fl(\001)15 b Fj(~)-40 b(a)2356 1956 y Fh(2)2421 1942 y Fn(=)2522 1880 y Fj(~)g(c)2566 1894 y Fh(2)2626 1880 y Fl(\001)15 b Fj(~)-40 b(a)2719 1894 y Fh(1)2779 1880 y Fn(+)15 b Fj(~)-40 b(c)2909 1894 y Fh(2)2969 1880 y Fl(\001)15 b Fj(~)-40 b(a)3062 1894 y Fh(3)3132 1880 y Fj(P)3190 1894 y Fi(E)p 2527 1921 724 4 v 2751 2004 a Fj(P)2809 2018 y Fi(E)2889 2004 y Fn(+)20 b(1)3260 1942 y(\(1)h(+)3492 1880 y Fj(Q)p 3462 1921 133 4 v 3462 2005 a Fn(2)p Fj(a)3555 1974 y Fh(3)3555 2030 y(2)3605 1942 y Fn(\))30 b Fj(;)441 2233 y(~)-40 b(c)485 2247 y Fh(3)545 2233 y Fl(\001)15 b Fj(~)-40 b(a)638 2247 y Fh(3)761 2233 y Fn(=)82 b Fl(\000)1031 2172 y Fn(1)p 995 2212 118 4 v 995 2296 a Fj(P)1053 2310 y Fi(E)1118 2233 y Fj(~)-40 b(c)1162 2247 y Fh(3)1222 2233 y Fl(\001)15 b Fj(~)-40 b(a)1315 2247 y Fh(1)1375 2233 y Fn(+)1575 2172 y Fj(P)1633 2186 y Fi(E)1713 2172 y Fn(+)20 b(1)p 1476 2212 473 4 v 1476 2308 a Fj(P)1534 2322 y Fi(E)1594 2308 y Fn(\(1)h(+)1822 2268 y Fi(Q)p 1796 2287 108 4 v 1796 2346 a Fh(2)p Fi(a)1868 2323 y Ff(3)1868 2368 y(2)1913 2308 y Fn(\))1953 2233 y Fj(~)-40 b(c)1997 2247 y Fh(3)2057 2233 y Fl(\001)15 b Fj(~)-39 b(a)2151 2247 y Fh(2)2221 2233 y Fj(:)212 2536 y Fn(Therefore,)30 b(equations)h(\(2.8\))h(and)d(\(2.9\))k(can)d(b)s(e)g(written)f(as:)641 2782 y Fj(\032)688 2796 y Fh(1)811 2782 y Fn(=)1001 2720 y Fj(P)k Fn(+)20 b(1)p 975 2761 281 4 v 975 2857 a(1)g(+)1165 2816 y Fi(Q)p 1141 2836 104 4 v 1141 2894 a Fh(2)p Fi(r)1210 2871 y Ff(3)1208 2916 y(2)1260 2782 y Fj(~)-40 b(c)1304 2796 y Fh(1)1364 2782 y Fl(\001)15 b Fj(~)-40 b(a)1457 2796 y Fh(2)1517 2782 y Fl(\000)20 b Fj(P)8 b(~)-40 b(c)1718 2796 y Fh(1)1778 2782 y Fl(\001)15 b Fj(~)-40 b(a)1871 2796 y Fh(3)1931 2782 y Fl(\000)2036 2720 y Fj(P)2094 2734 y Fi(E)2175 2720 y Fn(+)20 b(1)p 2032 2761 284 4 v 2032 2857 a(1)g(+)2198 2816 y Fi(Q)2254 2827 y Fa(E)p 2198 2836 108 4 v 2198 2894 a Fh(2)p Fi(a)2270 2871 y Ff(3)2270 2916 y(2)2321 2782 y Fj(~)-40 b(c)2365 2796 y Fh(1)2425 2782 y Fl(\001)15 b Fj(~)-40 b(a)2518 2796 y Fh(2)2578 2782 y Fn(+)20 b Fj(P)2727 2796 y Fi(E)2782 2782 y Fj(~)-40 b(c)2826 2796 y Fh(1)2886 2782 y Fl(\001)15 b Fj(~)-40 b(a)2979 2796 y Fh(3)641 3076 y Fj(\032)688 3090 y Fh(2)811 3076 y Fn(=)970 3015 y Fj(~)g(c)1014 3029 y Fh(2)1074 3015 y Fl(\001)15 b Fj(~)-40 b(a)1167 3029 y Fh(1)1227 3015 y Fn(+)15 b Fj(~)-40 b(c)1357 3029 y Fh(2)1417 3015 y Fl(\001)15 b Fj(~)-40 b(a)1510 3029 y Fh(3)1580 3015 y Fj(P)p 975 3055 677 4 v 1199 3139 a(P)33 b Fn(+)20 b(1)1661 3076 y(\(1)h(+)1891 3015 y Fj(Q)p 1863 3055 129 4 v 1863 3139 a Fn(2)p Fj(r)1952 3108 y Fh(3)1949 3164 y(2)2001 3076 y Fn(\))g Fl(\000)2153 3015 y Fj(~)-40 b(c)2197 3029 y Fh(2)2257 3015 y Fl(\001)15 b Fj(~)-40 b(a)2350 3029 y Fh(1)2410 3015 y Fn(+)15 b Fj(~)-40 b(c)2540 3029 y Fh(2)2600 3015 y Fl(\001)15 b Fj(~)-40 b(a)2693 3029 y Fh(3)2763 3015 y Fj(P)2821 3029 y Fi(E)p 2158 3055 724 4 v 2382 3139 a Fj(P)2440 3153 y Fi(E)2520 3139 y Fn(+)20 b(1)2891 3076 y(\(1)h(+)3093 3015 y Fj(Q)3165 3029 y Fi(E)p 3093 3055 133 4 v 3093 3139 a Fn(2)p Fj(a)3186 3108 y Fh(3)3186 3164 y(2)3236 3076 y Fn(\))641 3321 y Fj(\032)688 3335 y Fh(3)811 3321 y Fn(=)83 b Fl(\000)1058 3259 y Fn(1)p 1046 3300 71 4 v 1046 3383 a Fj(P)1121 3321 y(~)-40 b(c)1165 3335 y Fh(3)1225 3321 y Fl(\001)15 b Fj(~)-39 b(a)1319 3335 y Fh(1)1378 3321 y Fn(+)1576 3259 y Fj(P)34 b Fn(+)20 b(1)p 1479 3300 422 4 v 1479 3396 a Fj(P)13 b Fn(\(1)21 b(+)1776 3355 y Fi(Q)p 1752 3375 104 4 v 1752 3433 a Fh(2)p Fi(r)1821 3410 y Ff(3)1819 3455 y(2)1866 3396 y Fn(\))1906 3321 y Fj(~)-40 b(c)1950 3335 y Fh(3)2010 3321 y Fl(\001)15 b Fj(~)-39 b(a)2104 3335 y Fh(2)2163 3321 y Fn(+)2300 3259 y(1)p 2264 3300 118 4 v 2264 3383 a Fj(P)2322 3397 y Fi(E)2387 3321 y Fj(~)f(c)2431 3335 y Fh(3)2491 3321 y Fl(\001)15 b Fj(~)-40 b(a)2584 3335 y Fh(1)2644 3321 y Fl(\000)2844 3259 y Fj(P)2902 3273 y Fi(E)2982 3259 y Fn(+)20 b(1)p 2745 3300 473 4 v 2745 3396 a Fj(P)2803 3410 y Fi(E)2863 3396 y Fn(\(1)h(+)3091 3355 y Fi(Q)p 3065 3375 108 4 v 3065 3433 a Fh(2)p Fi(a)3137 3410 y Ff(3)3137 3455 y(2)3182 3396 y Fn(\))3223 3321 y Fj(~)-40 b(c)3267 3335 y Fh(3)3326 3321 y Fl(\001)15 b Fj(~)-39 b(a)3420 3335 y Fh(2)3490 3321 y Fj(:)174 b Fn(\(A.44\))212 3623 y(>F)-8 b(rom)36 b(the)g(\014rst)f(and)g(the)h (third)e(of)i(\(A.44\),)i(it)d(follo)m(ws)g(that)h(\()p Fj(P)2551 3637 y Fi(E)2611 3623 y Fj(;)15 b(Q)2723 3637 y Fi(E)2783 3623 y Fn(\))36 b(determines)f(the)g(orbit)g(of)h(the)212 3736 y(Earth;)i(let)h(us)e(pro)m(v)m(e)i(that)g(\()p Fj(P)1319 3750 y Fi(E)1379 3736 y Fj(;)15 b(Q)1491 3750 y Fi(E)1551 3736 y Fn(\))39 b(is)e(a)i(\014xed)f(p)s(oin)m(t)f(of)h (the)h(Gauss)f(Map.)h(Using)e(\(A.41\))j(and)e(the)212 3849 y(second)31 b(of)f(\(A.44\),)j(the)d(image)h(\()p Fj(P)1445 3816 y Fe(0)1469 3849 y Fj(;)15 b(Q)1581 3816 y Fe(0)1604 3849 y Fn(\))31 b(of)f(\()p Fj(P)1866 3863 y Fi(E)1927 3849 y Fj(;)15 b(Q)2039 3863 y Fi(E)2098 3849 y Fn(\))31 b(through)f(the)g(Gauss)h(map)f(is)f(giv)m(en)h(b)m(y) 1146 4103 y Fj(P)1217 4065 y Fe(0)1265 4103 y Fn(=)1371 4041 y Fj(t)1404 4055 y Fh(12)1479 4041 y Fj(t)1512 4008 y Fe(0)1512 4064 y Fh(23)p 1371 4082 216 4 v 1371 4165 a Fj(t)1404 4179 y Fh(23)1479 4165 y Fj(t)1512 4134 y Fe(0)1512 4190 y Fh(12)1626 4103 y Fj(P)1684 4117 y Fi(E)1770 4103 y Fn(=)25 b Fj(P)1924 4117 y Fi(E)2014 4103 y Fj(;)106 b(Q)2217 4065 y Fe(0)2266 4103 y Fn(=)2371 4041 y Fj(t)2404 4055 y Fh(12)2479 4041 y Fj(t)2512 4055 y Fh(23)p 2371 4082 V 2371 4165 a Fj(t)2404 4134 y Fe(0)2404 4190 y Fh(12)2479 4165 y Fj(t)2512 4134 y Fe(0)2512 4190 y Fh(23)2627 4103 y Fj(Q)2699 4117 y Fi(E)2784 4103 y Fn(=)24 b Fj(Q)2951 4117 y Fi(E)3689 4103 y Fn(\(A.45\))212 4376 y(with)31 b Fj(\032)468 4390 y Fh(2)539 4376 y Fn(b)s(eing)g(giv)m(en)h(b)m(y)g Fj(\032)1200 4390 y Fh(2)1268 4376 y Fn(=)1373 4337 y Fi(~)-32 b(c)1407 4346 y Ff(2)1442 4337 y Fe(\001)l Fi(~)h(a)1499 4346 y Ff(1)1533 4337 y Fh(+)l Fi(~)g(c)1619 4346 y Ff(2)1653 4337 y Fe(\001)l Fi(~)g(a)1710 4346 y Ff(3)1775 4337 y Fi(P)1820 4348 y Fa(E)p 1376 4355 496 4 v 1531 4407 a Fi(P)1576 4418 y Fa(E)1627 4407 y Fh(+1)1892 4335 y Fi(Q)1948 4346 y Fa(E)p 1892 4355 108 4 v 1928 4407 a Fh(2)2009 4376 y Fn(\()p Fj(r)2088 4338 y Fe(\000)p Fh(3)2085 4401 y(2)2203 4376 y Fl(\000)21 b Fj(a)2343 4338 y Fe(\000)p Fh(3)2343 4401 y(2)2438 4376 y Fn(\))32 b(and)g(pro)m(vided)e(that)j Fj(t)3291 4343 y Fe(0)3291 4398 y Fi(pq)3392 4376 y Fn(=)28 b Fj(A)3559 4390 y Fi(E)3619 4376 y Fj(=)3664 4320 y Fl(p)p 3740 4320 106 4 v 56 x Fj(p)3786 4390 y Fi(E)3874 4376 y Fn(=)212 4510 y(\(1)e(+)f Fj(\026)469 4524 y Fi(E)528 4510 y Fn(\))563 4477 y Fh(1)p Fi(=)p Fh(2)711 4510 y Fj(t)744 4524 y Fi(pq)855 4510 y Fn(=)37 b Fj(t)996 4524 y Fi(pq)1106 4510 y Fn(\(due)h(to)g(the)g(assumptions)e(on)h(the)h (motion)f(of)h(the)g(Earth\).)g(The)f(conclusion)212 4623 y(comes)d(from)e(\(A.45\).)j(The)e(solution)e(of)i(Gauss)g (problem)f(is)g(th)m(us)g(reduced)g(to)i(the)f(problem)e(of)j(lo)s (oking)212 4735 y(for)c(a)h(non{)f(trivial)f(\014xed)g(p)s(oin)m(t)h (of)g(the)h(Gauss)f(map.)212 5054 y Fg(A.2)112 b(Appro)m(ximations)212 5225 y Fn(Let)31 b Fj(")p Fn(,)g Fj(\034)513 5239 y Fh(12)587 5225 y Fn(,)g Fj(\034)683 5239 y Fh(23)788 5225 y Fn(b)s(e)e(de\014ned) h(b)m(y)g(means)g(of)h(the)f(expressions)1277 5429 y Fj(t)1310 5443 y Fh(13)1410 5429 y Fn(=)25 b Fj(")30 b(;)197 b(t)1833 5443 y Fh(12)1933 5429 y Fn(=)25 b Fj(\034)2069 5443 y Fh(12)2144 5429 y Fj(")30 b(;)198 b(t)2472 5443 y Fh(23)2571 5429 y Fn(=)25 b Fj(\034)2707 5443 y Fh(23)2782 5429 y Fj(")30 b(:)810 b Fn(\(A.46\))2033 5964 y(22)p eop %%Page: 23 23 23 22 bop 212 386 a Fn(Let)43 b(\()442 363 y(\026)422 386 y Fj(P)13 b(;)554 363 y Fn(\026)533 386 y Fj(Q)p Fn(\))43 b(b)s(e)e(a)h(\014xed)g(p)s(oin)m(t)f(of)h(the)g(Gauss)g(map.) g(Lo)s(oking)f(at)i(the)f(orders)g(of)g(magnitude)f(of)h(the)212 499 y(constan)m(ts)27 b Fj(~)-40 b(c)654 513 y Fh(2)714 499 y Fl(\001)15 b Fj(~)-40 b(a)807 514 y Fi(k)850 499 y Fn(,)30 b(one)h(roughly)e(\014nds)g(that)i(an)f(appro)m(ximation)38 b(~)-54 b Fj(\032)2597 513 y Fi(n)2675 499 y Fn(of)38 b(\026)-53 b Fj(\032)2825 513 y Fh(2)2895 499 y Fn(up)29 b(to)i Fj(O)s Fn(\()p Fj(")3286 466 y Fi(n)p Fh(+1)3424 499 y Fn(\),)g(i.e.)1691 692 y(\026)-53 b Fj(\032)1730 706 y Fh(2)1795 692 y Fn(=)33 b(~)-53 b Fj(\032)1938 706 y Fi(n)2005 692 y Fn(+)20 b Fj(O)s Fn(\()p Fj(")2245 655 y Fi(n)p Fh(+1)2383 692 y Fn(\))30 b Fj(;)1216 b Fn(\(A.47\))212 885 y(can)30 b(b)s(e)f(obtained)g(b)m(y)h(lo)s(oking)e (for)i(a)g(solution)e(of)39 b(~)-54 b Fj(\032)2024 899 y Fi(n)2097 885 y Fn(=)24 b Fj(G)p Fn(\()2320 862 y(~)2298 885 y Fj(P)2356 899 y Fi(n)2405 885 y Fj(;)2466 862 y Fn(~)2445 885 y Fj(Q)2517 899 y Fi(n)2564 885 y Fj(;)g Fn(~)-54 b 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y(\026)1829 4678 y Fj(P)13 b(;)1961 4655 y Fn(\026)1940 4678 y Fj(Q)p Fn(\))34 b Fk(b)-5 b(e)33 b(a)h(\014xe)-5 b(d)34 b(p)-5 b(oint)34 b(of)g(the)f(Gauss)h(map)h Fj(F)3504 4692 y Fi(t)3529 4701 y Ff(12)3595 4692 y Fi(;t)3640 4701 y Ff(23)3742 4678 y Fk(\(with)212 4791 y Fj(t)245 4805 y Fh(12)320 4791 y Fj(;)15 b(t)393 4805 y Fh(23)498 4791 y Fk(de\014ne)-5 b(d)31 b(in)f(\(A.46\)\);)h(let)39 b Fn(\026)-53 b Fj(\032)30 b Fk(b)-5 b(e)30 b(such)h(that)1997 4755 y Fi(@)p 1979 4770 78 4 v 1979 4823 a(@)t(\032)2066 4791 y Fj(G)p Fn(\()2194 4768 y(\026)2172 4791 y Fj(P)14 b(;)2305 4768 y Fn(\026)2284 4791 y Fj(Q;)24 b Fn(\026)-54 b Fj(\032)q Fn(\))25 b Fl(6)p Fn(=)g(1)31 b Fk(and)g(let)g Fl(C)k Fk(b)-5 b(e)30 b(the)h(asso)-5 b(ciate)g(d)33 b(c)-5 b(onic)212 4927 y(se)g(ction.)29 b(Ther)-5 b(e)29 b(exists)g(a)f(neighb)-5 b(orho)g(o)g(d)32 b Fj(U)38 b Fk(of)29 b Fn(\()1911 4904 y(\026)1890 4927 y Fj(P)13 b(;)2022 4904 y Fn(\026)2001 4927 y Fj(Q)q Fn(\))28 b Fk(and)h(a)g(neighb)-5 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b(this)e(end,)g(w)m(e)i(pro)s(ceed)f(b)m(y)g(induction.)e(F)-8 b(or)24 b Fj(n)h Fn(=)g(0)e(w)m(e)h(just)e(obtain)h(the)g(de\014nition) e(of)3333 1109 y(~)3312 1132 y Fj(P)3370 1146 y Fh(0)3410 1132 y Fn(,)3479 1109 y(~)3458 1132 y Fj(Q)3530 1146 y Fh(0)3570 1132 y Fn(.)i(Supp)s(ose)212 1245 y(no)m(w)31 b(that)g(\(A.51\))i(is)d(true)h(for)g Fj(n)25 b(>)h Fn(0.)32 b(Then,)e(the)h(conic)g(section)g Fl(C)2594 1259 y Fi(n)2671 1245 y Fn(determined)f(b)m(y)h(\()3329 1222 y(~)3309 1245 y Fj(P)3367 1259 y Fi(n)3414 1245 y Fj(;)3476 1222 y Fn(~)3454 1245 y Fj(Q)3526 1259 y Fi(n)3574 1245 y Fn(\))g(satis\014es)212 1358 y Fl(C)f(\000)24 b(C)433 1372 y Fi(n)516 1358 y Fn(=)36 b Fj(O)s Fn(\()p Fj(")772 1325 y Fi(n)p Fh(+1)909 1358 y Fn(\),)i(where)e Fj(")h Fn(=)e Fj(t)1494 1372 y Fh(13)1605 1358 y Fn(=)h Fj(t)1745 1325 y Fi(n)1745 1381 y Fh(13)1844 1358 y Fn(+)24 b Fj(O)s Fn(\()p Fj(")2088 1325 y Fi(n)p Fh(+1)2226 1358 y Fn(\))37 b(and)f Fj(t)2514 1325 y Fi(n)2514 1381 y Fh(13)2625 1358 y Fn(is)g(the)h(time)g(o)s(ccurring)e(to)j Fj(C)43 b Fn(\(suc)m(h)212 1471 y(that)d(a)f(Keplerian)f(motion)h(tak)m(es)h (place)f(on)g Fl(C)1908 1485 y Fi(n)1955 1471 y Fn(\))h(to)g(reac)m(h)d Fj(~)-42 b(r)2440 1485 y Fh(3)2518 1471 y Fn(from)36 b Fj(~)-42 b(r)2783 1485 y Fh(1)2861 1471 y Fn(.)40 b(The)e(images)i (\()3484 1448 y(~)3464 1471 y Fj(P)3522 1485 y Fi(n)p Fh(+1)3660 1471 y Fj(;)3721 1448 y Fn(~)3700 1471 y Fj(Q)3772 1485 y Fi(n)p Fh(+1)3909 1471 y Fn(\))212 1583 y(of)f(\()380 1561 y(~)359 1583 y Fj(P)417 1597 y Fi(n)465 1583 y Fj(;)526 1561 y Fn(~)505 1583 y Fj(Q)577 1597 y Fi(n)624 1583 y Fn(\))g(through)f(the)h(Gauss)f(map)g(can)h(b)s(e)f(expressed)g (\(using)g(T)-8 b(a)m(ylor)39 b(expansion\))f(as)g(a)h(sum)f(of)212 1696 y(p)s(o)m(w)m(ers)29 b(in)e Fj(")658 1710 y Fi(n)730 1696 y Fn(=)e Fj(t)859 1663 y Fi(n)859 1719 y Fh(13)959 1696 y Fn(=)g Fj(")17 b Fl(\000)f Fj(O)s Fn(\()p Fj(")1350 1663 y Fi(n)p Fh(+1)1488 1696 y Fn(\))29 b(up)e(to)j(degree)f Fj(n)16 b Fn(+)g(2,)29 b Fj(n)16 b Fn(+)h(3,)29 b(resp)s(ectiv)m(ely)-8 b(,)28 b(whose)h(co)s(e\016cien)m(ts)g(are)212 1809 y(con)m(tin)m(uous) h(functions)f(of)i Fl(C)1211 1823 y Fi(n)1257 1809 y Fn(.)g(Therefore,)f(one)h(has:)969 1990 y(~)949 2013 y Fj(P)1007 2027 y Fi(n)p Fh(+1)1227 2013 y Fn(=)83 b Fj(c)1420 2027 y Fh(0)1480 2013 y Fn(+)20 b Fj(c)1610 2027 y Fh(2)1650 2013 y Fn(\()p Fl(C)1733 2027 y Fi(n)1780 2013 y Fn(\))p Fj(")1857 1975 y Fh(2)1857 2035 y Fi(n)1925 2013 y Fn(+)g Fj(:)15 b(:)g(:)21 b Fn(+)f Fj(c)2272 2027 y Fi(n)p Fh(+2)2409 2013 y Fn(\()p Fl(C)2492 2027 y Fi(n)2539 2013 y Fn(\))p Fj(")2616 1975 y Fi(n)p Fh(+2)2616 2035 y Fi(n)2774 2013 y Fn(+)g Fj(O)s Fn(\()p Fj(")3014 1975 y Fi(n)p Fh(+3)3014 2035 y Fi(n)3152 2013 y Fn(\))1227 2150 y(=)83 b Fj(c)1420 2164 y Fh(0)1480 2150 y Fn(+)20 b Fj(c)1610 2164 y Fh(2)1650 2150 y Fn(\()p Fl(C)1733 2164 y Fi(n)1780 2150 y Fn(\))p Fj(")1857 2113 y Fh(2)1917 2150 y Fn(+)g Fj(:)15 b(:)g(:)21 b Fn(+)f Fj(c)2264 2164 y Fi(n)p Fh(+2)2402 2150 y Fn(\()p Fl(C)2485 2164 y Fi(n)2532 2150 y Fn(\))p Fj(")2609 2113 y Fi(n)p Fh(+2)2767 2150 y Fn(+)g Fj(O)s Fn(\()p Fj(")3007 2113 y Fi(n)p Fh(+3)3145 2150 y Fn(\))956 2265 y(~)935 2288 y Fj(Q)1007 2302 y Fi(n)p Fh(+1)1227 2288 y Fn(=)83 b Fj(c)1420 2251 y Fe(0)1420 2311 y Fh(2)1460 2288 y Fj(")1502 2251 y Fh(2)1502 2311 y Fi(n)1569 2288 y Fn(+)20 b Fj(c)1699 2251 y Fe(0)1699 2311 y Fh(3)1739 2288 y Fn(\()p Fl(C)1822 2302 y Fi(n)1869 2288 y Fn(\))p Fj(")1946 2251 y Fh(3)1946 2311 y Fi(n)2009 2288 y Fj(:)15 b(:)g(:)21 b Fn(+)f Fj(c)2265 2251 y Fe(0)2265 2311 y Fi(n)p Fh(+3)2403 2288 y Fn(\()p Fl(C)2486 2302 y Fi(n)2533 2288 y Fn(\))p Fj(")2610 2251 y Fi(n)p Fh(+3)2610 2311 y Fi(n)2768 2288 y Fn(+)g Fj(O)s Fn(\()p Fj(")3008 2251 y Fi(n)p Fh(+4)3008 2311 y Fi(n)3146 2288 y Fn(\))1227 2426 y(=)83 b Fj(c)1420 2389 y Fe(0)1420 2449 y Fh(2)1460 2426 y Fj(")1502 2389 y Fh(2)1562 2426 y Fn(+)20 b Fj(c)1692 2389 y Fe(0)1692 2449 y Fh(3)1731 2426 y Fn(\()p Fl(C)1814 2440 y Fi(n)1862 2426 y Fn(\))p Fj(")1939 2389 y Fh(3)1994 2426 y Fj(:)15 b(:)g(:)21 b Fn(+)f Fj(c)2250 2389 y Fe(0)2250 2449 y Fi(n)p Fh(+3)2388 2426 y Fn(\()p Fl(C)2471 2440 y Fi(n)2518 2426 y Fn(\))p Fj(")2595 2389 y Fi(n)p Fh(+3)2753 2426 y Fn(+)g Fj(O)s Fn(\()p Fj(")2993 2389 y Fi(n)p Fh(+4)3130 2426 y Fn(\))31 b Fj(;)212 2629 y Fn(with)c Fj(c)456 2643 y Fh(0)521 2629 y Fn(=)627 2593 y Fi(\034)658 2602 y Ff(12)p 627 2608 97 4 v 627 2661 a Fi(\034)658 2670 y Ff(23)733 2629 y Fn(,)h Fj(c)825 2596 y Fe(0)825 2653 y Fh(2)891 2629 y Fn(=)c Fj(\034)1026 2643 y Fh(12)1101 2629 y Fj(\034)1141 2643 y Fh(23)1215 2629 y Fn(,)29 b Fl(C)h Fn(=)25 b Fl(C)1491 2643 y Fi(n)1554 2629 y Fn(+)15 b Fj(O)s Fn(\()p Fj(")1789 2596 y Fi(n)p Fh(+1)1927 2629 y Fn(\).)28 b(Finally)-8 b(,)27 b(b)m(y)h(the)g(con)m(tin)m(uit)m (y)h(of)f Fj(c)3186 2644 y Fi(k)3257 2629 y Fn(and)f Fj(c)3470 2596 y Fe(0)3470 2656 y Fi(k)r Fh(+1)3632 2629 y Fn(\()p Fj(k)h Fl(\025)d Fn(2\),)212 2762 y(one)31 b(has)561 2739 y(\026)541 2762 y Fj(P)38 b Fn(=)753 2739 y(~)733 2762 y Fj(P)791 2776 y Fi(n)p Fh(+1)949 2762 y Fn(+)20 b Fj(O)s Fn(\()p Fj(")1189 2729 y Fi(n)p Fh(+3)1326 2762 y Fn(\),)1438 2739 y(\026)1417 2762 y Fj(Q)25 b Fn(=)1631 2739 y(~)1610 2762 y Fj(Q)1682 2776 y Fi(n)p Fh(+1)1840 2762 y Fn(+)20 b Fj(O)s Fn(\()p Fj(")2080 2729 y Fi(n)p Fh(+4)2217 2762 y Fn(\).)212 3005 y Fg(A.3)112 b(Computation)33 b(of)h(the)g(elemen)m(ts)f(of)h(a)h(conic)e(section)g (through)h(three)g(coplanar)496 3122 y(v)m(ectors)212 3293 y Fn(Let)e Fj(~)-42 b(r)420 3307 y Fh(1)460 3293 y Fn(,)31 b Fj(~)-42 b(r)560 3307 y Fh(2)600 3293 y Fn(,)32 b Fj(~)-43 b(r)700 3307 y Fh(3)774 3293 y Fn(b)s(e)34 b(three)h(di\013eren)m(t)f(coplanar)g(v)m(ectors)i(applied)c(at)j(the)g (same)g(p)s(oin)m(t)f(and)g(let)44 b Fj(~)-55 b(m)34 b Fn(b)s(e)g(the)212 3406 y(unit)28 b(v)m(ector)j(p)s(erp)s(endicular) 26 b(to)k(the)g(plane)f(of)h(the)c Fj(~)-42 b(r)2058 3420 y Fi(i)2087 3406 y Fn('s.)29 b(W)-8 b(e)31 b(will)c(assume)j(that) 40 b Fj(~)-55 b(m)29 b Fn(is)g(orien)m(ted)g(in)g(suc)m(h)g(a)212 3519 y(w)m(a)m(y)k(that)f(the)f(motion)g(from)d Fj(~)-42 b(r)1319 3533 y Fh(1)1390 3519 y Fn(to)29 b Fj(~)-42 b(r)1543 3533 y Fh(3)1614 3519 y Fn(through)28 b Fj(~)-42 b(r)2000 3533 y Fh(2)2071 3519 y Fn(app)s(ears)31 b(coun)m(terclo)s(c)m (kwise)g(\(this)g(can)h(b)s(e)f(ac)m(hiev)m(ed)212 3632 y(de\014ning)42 b Fj(~)-55 b(m)31 b Fn(=)g Fj(\021)j(~)-42 b(r)895 3646 y Fh(1)957 3632 y Fl(^)19 b Fj(~)-42 b(r)1081 3646 y Fh(3)1120 3632 y Fj(=)p Fl(j)m Fj(~)g(r)1231 3646 y Fh(1)1294 3632 y Fl(^)19 b Fj(~)-42 b(r)1418 3646 y Fh(3)1458 3632 y Fl(j)34 b Fn(with)e Fj(\021)j Fn(=)c(1)j(if)c Fj(~)-42 b(r)2116 3646 y Fh(1)2178 3632 y Fl(^)19 b Fj(~)-42 b(r)2302 3646 y Fh(2)2341 3632 y Fj(=)p Fl(j)m Fj(~)g(r)2452 3646 y Fh(1)2515 3632 y Fl(^)19 b Fj(~)-42 b(r)2639 3646 y Fh(2)2678 3632 y Fl(j)32 b Fn(=)41 b Fj(~)-55 b(m)30 b Fn(=)e Fj(~)-42 b(r)3090 3646 y Fh(2)3152 3632 y Fl(^)19 b Fj(~)-42 b(r)3276 3646 y Fh(3)3316 3632 y Fj(=)p Fl(j)m Fj(~)g(r)3427 3646 y Fh(2)3489 3632 y Fl(^)20 b Fj(~)-42 b(r)3614 3646 y Fh(3)3653 3632 y Fl(j)p Fn(,)34 b(while)212 3745 y Fj(\021)41 b Fn(=)d Fl(\000)p Fn(1)g(otherwise\).)g(W)-8 b(e)39 b(will)c(sho)m(w)j(that)g(there)g(exists)g(a)g(unique)e(conic)i (section)g(with)e(fo)s(cus)i(in)e(the)212 3858 y(common)28 b(origin)e(of)h(the)h(giv)m(en)g(v)m(ectors)h(and)d(passing)h(through)g (them,)g(if)g(and)g(only)f(if)h(the)g(orien)m(ted)h(areas)212 3971 y Fj(n)267 3985 y Fi(pq)365 3971 y Fn(=)23 b Fj(~)-43 b(r)502 3985 y Fi(p)562 3971 y Fl(^)17 b Fj(~)-42 b(r)684 3985 y Fi(q)742 3971 y Fl(\001)31 b Fj(~)-55 b(m)30 b Fn(v)m(erify)1662 4084 y Fj(n)1717 4098 y Fh(12)1812 4084 y Fn(+)19 b Fj(n)1957 4098 y Fh(23)2052 4084 y Fl(\000)h Fj(n)2198 4098 y Fh(13)2297 4084 y Fl(6)p Fn(=)25 b(0)31 b Fj(:)1195 b Fn(\(A.52\))212 4250 y(In)33 b(fact,)j(if)d Fj(n)680 4264 y Fh(12)777 4250 y Fn(+)22 b Fj(n)925 4264 y Fh(23)1022 4250 y Fl(\000)h Fj(n)1171 4264 y Fh(13)1276 4250 y Fn(=)32 b(0,)i(then)g(the)h(v)m(ectors)f Fj(~)-44 b(u)32 b Fl(\021)c Fj(~)-42 b(r)2394 4264 y Fh(2)2456 4250 y Fl(\000)20 b Fj(~)-43 b(r)2590 4264 y Fh(1)2630 4250 y Fn(,)31 b Fj(~)-42 b(v)35 b Fl(\021)28 b Fj(~)-42 b(r)2911 4264 y Fh(3)2973 4250 y Fl(\000)20 b Fj(~)-42 b(r)3108 4264 y Fh(2)3181 4250 y Fn(are)35 b(collinear,)e(b)s(eing)211 4363 y Fj(~)-44 b(u)24 b Fl(^)19 b Fj(~)-41 b(v)27 b Fl(\001)34 b Fj(~)-55 b(m)33 b Fn(=)h Fj(n)765 4377 y Fh(12)863 4363 y Fn(+)23 b Fj(n)1012 4377 y Fh(23)1110 4363 y Fl(\000)g Fj(n)1259 4377 y Fh(13)1367 4363 y Fn(=)34 b(0.)i(Therefore)f(it)g(is)f(not)i(p)s(ossible)d(to)j(\014nd)e(a)i (conic)f(section)h(through)212 4476 y(three)c(p)s(oin)m(ts)f(on)h(a)g (straigh)m(t)g(line.)e(In)i(the)g(opp)s(osite)f(case,)i(the)f (inclination)d Fj(i)f Fl(2)f Fn([0)p Fj(;)15 b(\031)s Fn(])34 b(is)c(de\014ned)h(as)h(the)212 4589 y(angle)h(b)s(et)m(w)m (een)44 b Fj(~)-55 b(m)32 b Fn(and)1093 4565 y Fj(~)1098 4589 y(k)s Fn(,)h(where)f(\()1492 4568 y Fj(~)1506 4589 y(i)q(;)1603 4568 y(~)1611 4589 y(j)6 b(;)1722 4565 y(~)1727 4589 y(k)s Fn(\))33 b(is)f(a)i(preassigned)d(reference)j(frame)f(\(the) g Fd(ecliptic)f Fn(frame\),)212 4702 y(and)27 b(it)f(is)g(de\014ned)g (as)h(cos)16 b Fj(i)26 b Fn(=)35 b Fj(~)-55 b(m)13 b Fl(\001)1396 4678 y Fj(~)1401 4702 y(k)30 b Fn(\(notice)e(that)f Fj(i)g Fn(denotes)h(the)f(inclination,)e(while)3202 4681 y Fj(~)3214 4702 y(i)i Fn(is)f(the)h(unit)f(v)m(ector)212 4815 y(of)39 b(the)f(reference)h(frame\).)g(Next,)g(let)d Fj(~)-43 b(n)38 b Fn(b)s(e)g(the)g(unit)f(v)m(ector)j(of)e(the)h(line)e (of)h(no)s(des)f(orien)m(ted)i(in)e(suc)m(h)212 4927 y(a)i(w)m(a)m(y)g(that)g(the)f(rotation)h(of)g(the)f(angle)g Fj(i)h Fn(in)e(the)h(plane)g(\()2364 4903 y Fj(~)2369 4927 y(k)s(;)64 b(~)-55 b(m)p Fn(\))38 b(that)h(transforms)3313 4903 y Fj(~)3318 4927 y(k)i Fn(in)47 b Fj(~)-55 b(m)38 b Fn(app)s(ears)212 5040 y(coun)m(terclo)s(c)m(kwise)26 b(\(the)g(line)e(of)h(no)s(des)g(is)g(de\014ned)f(as)i(the)f(in)m (tersection)h(b)s(et)m(w)m(een)g(the)f(plane)g(\()m Fj(~)-42 b(r)3551 5054 y Fh(1)3591 5040 y Fj(;)38 b(~)-42 b(r)3698 5054 y Fh(3)3737 5040 y Fn(\))26 b(and)212 5153 y(the)31 b(plane)f(\()633 5132 y Fj(~)647 5153 y(i)q(;)742 5132 y(~)750 5153 y(j)6 b Fn(\),)31 b(namely)d Fj(~)-43 b(n)26 b Fn(=)1373 5129 y Fj(~)1378 5153 y(k)e Fl(^)30 b Fj(~)-55 b(m=)p Fl(j)1675 5129 y Fj(~)1680 5153 y(k)24 b Fl(^)31 b Fj(~)-55 b(m)o Fl(j)p Fn(\).)32 b(The)e(ascending)h(no)s(de)f(\012)g (is)g(de\014ned)g(as)h(the)g(orien)m(ted)212 5266 y(angle)f(in)f([0)p Fj(;)15 b Fn(2)32 b Fj(\031)s Fn(\))f(b)s(et)m(w)m(een)1200 5245 y Fj(~)1214 5266 y(i)f Fn(and)e Fj(~)-43 b(n)30 b Fn(with)f(resp)s(ect)h(to)h(the)g(ecliptic)e(frame.)h(Next,)i(let) 3304 5242 y Fj(~)3295 5266 y(n)3350 5240 y Fe(0)3398 5266 y Fn(=)j Fj(~)-55 b(m)20 b Fl(^)d Fj(~)-42 b(n)o Fn(.)31 b(It)f(is)212 5379 y(clear)h(that)h(b)s(oth)27 b Fj(~)-42 b(n)30 b Fn(and)1115 5355 y Fj(~)1106 5379 y(n)1161 5353 y Fe(0)1214 5379 y Fn(b)s(elong)g(to)i(the)f(plane)f (de\014ned)g(b)m(y)e Fj(~)-42 b(r)2499 5393 y Fh(1)2538 5379 y Fn(,)28 b Fj(~)-42 b(r)2635 5393 y Fh(2)2675 5379 y Fn(,)28 b Fj(~)-42 b(r)2772 5393 y Fh(3)2811 5379 y Fn(.)31 b(W)-8 b(e)32 b(will)d(refer)h(to)i(\()n Fj(~)-43 b(n;)3689 5355 y(~)3680 5379 y(n)3735 5353 y Fe(0)3758 5379 y Fj(;)56 b(~)-55 b(m)p Fn(\))212 5492 y(as)27 b(the)g Fd(orbital)e Fn(reference)i(frame.)g(Let)h(us)d(\014x)i(in)e(the)i (orbital)e(frame)i(a)g(\(p)s(olar\))f(reference)h(frame)g(with)e(the) 2033 5964 y(25)p eop %%Page: 26 26 26 25 bop 212 386 a Fn(p)s(olar)30 b(axis)h(direction)f(coinciding)f (with)h(the)i(line)d(describ)s(ed)h(b)m(y)e Fj(~)-42 b(n)31 b Fn(and)f(with)g(the)i(p)s(ole)e(coinciding)g(with)212 499 y(the)f(common)g(origin)e(of)f Fj(~)-42 b(r)1128 513 y Fh(1)1167 499 y Fn(,)26 b Fj(~)-42 b(r)1262 513 y Fh(2)1302 499 y Fn(,)25 b Fj(~)-42 b(r)1396 513 y Fh(3)1436 499 y Fn(.)29 b(Let)g(\()p Fj(r)1727 514 y Fi(k)1770 499 y Fj(;)44 b(\022)1882 514 y Fi(k)1924 499 y Fn(\))29 b(b)s(e)f(the)h(p)s(olar)e(co)s(ordinates)i(of)d Fj(~)-43 b(r)3122 514 y Fi(k)3194 499 y Fn(with)27 b(resp)s(ect)i(to)g(the)212 612 y(previous)j(frame,)h(b)s(eing)e Fj(r)1148 627 y Fi(k)1221 612 y Fn(=)e Fl(j)m Fj(~)-42 b(r)1387 627 y Fi(k)1430 612 y Fl(j)p Fn(.)33 b(In)f(order)h(to)h(\014nd)d(the)i (conic)g(through)f(\()p Fj(r)2984 626 y Fh(1)3024 612 y Fj(;)48 b(\022)3140 626 y Fh(1)3180 612 y Fn(\),)33 b(\()p Fj(r)3349 626 y Fh(2)3389 612 y Fj(;)48 b(\022)3505 626 y Fh(2)3544 612 y Fn(\),)34 b(\()p Fj(r)3714 626 y Fh(3)3754 612 y Fj(;)48 b(\022)3870 626 y Fh(3)3909 612 y Fn(\))212 725 y(w)m(e)34 b(use)g(the)g(relation)f(b)s(et)m(w)m (een)i(the)f(anomaly)g Fj(\022)i Fn(and)d(the)h(mo)s(dulus)d Fj(r)37 b Fn(of)d(a)g(p)s(oin)m(t)f(\()p Fj(r)m(;)50 b(\022)s Fn(\))33 b(b)s(elonging)g(to)212 838 y(the)e(conic.)f(More)h (precisely)-8 b(,)30 b(the)h(p)s(olar)e(equation)h(of)g(a)h(conic)f(is) g(giv)m(en)g(b)m(y)1631 1028 y Fj(r)d Fn(=)2110 966 y Fj(p)p 1805 1007 655 4 v 1805 1090 a Fn(1)21 b(+)f Fj(e)46 b Fn(cos)16 b(\()p Fj(\022)22 b Fl(\000)e Fj(g)s Fn(\))2501 1028 y Fj(;)1163 b Fn(\(A.53\))212 1247 y(where)40 b Fj(e)h Fn(denotes)f(the)h(eccen)m(tricit)m(y)h(of)e(the)h(conic,)f Fj(p)h Fn(is)e(the)i(parameter)f(and)g Fj(g)k Fn(is)c(the)g(argumen)m (t)h(of)212 1360 y(p)s(erihelion.)25 b(Let)k(us)f(notice)h(that)g(if)e Fj(r)1516 1374 y Fh(1)1581 1360 y Fn(=)e Fj(r)1718 1374 y Fh(2)1782 1360 y Fn(=)g Fj(r)1919 1374 y Fh(3)1984 1360 y Fl(\021)g Fj(r)s Fn(,)j(the)h(unique)d(conic)i(through)d Fj(~)-42 b(r)3238 1374 y Fh(1)3278 1360 y Fn(,)25 b Fj(~)-42 b(r)3372 1374 y Fh(2)3412 1360 y Fn(,)25 b Fj(~)-42 b(r)3506 1374 y Fh(3)3574 1360 y Fn(is)27 b(a)i(circle)212 1473 y(with)e(radius)f Fj(r)s Fn(.)i(Let)h(us)f(supp)s(ose)e(that)j(there)g (exist)f Fj(i)d Fl(6)p Fn(=)g Fj(j)31 b Fl(2)25 b(f)p Fn(1)p Fj(;)15 b Fn(2)p Fj(;)g Fn(3)p Fl(g)31 b Fn(suc)m(h)d(that)h Fj(r)3120 1487 y Fi(i)3173 1473 y Fl(6)p Fn(=)c Fj(r)3310 1487 y Fi(j)3347 1473 y Fn(;)j(w)m(e)h(state)g(that,)212 1586 y(under)g(the)h(condition)f(\(A.52\),)k(the)e(quan)m(tities)913 1762 y Fj(A)83 b Fl(\021)g Fj(r)1259 1776 y Fh(2)1299 1762 y Fn(\()p Fj(r)1375 1776 y Fh(3)1435 1762 y Fl(\000)19 b Fj(r)1566 1776 y Fh(1)1606 1762 y Fn(\))h(+)g Fj(r)1793 1776 y Fh(1)1833 1762 y Fn(\()p Fj(r)1909 1776 y Fh(2)1969 1762 y Fl(\000)g Fj(r)2101 1776 y Fh(3)2140 1762 y Fn(\))15 b(cos)i Fj(\022)2371 1776 y Fh(12)2465 1762 y Fn(+)j Fj(r)2597 1776 y Fh(3)2637 1762 y Fn(\()p Fj(r)2713 1776 y Fh(1)2773 1762 y Fl(\000)f Fj(r)2904 1776 y Fh(2)2944 1762 y Fn(\))c(cos)h Fj(\022)3174 1776 y Fh(23)908 1900 y Fj(B)87 b Fl(\021)c Fj(r)1259 1914 y Fh(1)1299 1900 y Fn(\()p Fj(r)1375 1914 y Fh(2)1435 1900 y Fl(\000)19 b Fj(r)1566 1914 y Fh(3)1606 1900 y Fn(\))c(sin)f Fj(\022)1826 1914 y Fh(12)1921 1900 y Fl(\000)20 b Fj(r)2053 1914 y Fh(3)2092 1900 y Fn(\()p Fj(r)2168 1914 y Fh(1)2228 1900 y Fl(\000)g Fj(r)2360 1914 y Fh(2)2400 1900 y Fn(\))15 b(sin)f Fj(\022)2620 1914 y Fh(23)212 2076 y Fn(cannot)35 b(b)s(e)f(sim)m(ultaneously)e(zero.)j(In)f(fact,)h Fj(A)f Fn(and)g Fj(B)39 b Fn(represen)m(t)34 b(the)h(pro)5 b(jections)34 b(of)g(the)g(v)m(ector)48 b Fj(~)-57 b(w)35 b Fl(\021)212 2189 y Fn(\()p Fj(r)288 2203 y Fh(2)350 2189 y Fl(\000)21 b Fj(r)483 2203 y Fh(3)523 2189 y Fn(\))m Fj(~)-42 b(r)599 2203 y Fh(1)661 2189 y Fl(\000)21 b Fn(\()p Fj(r)829 2203 y Fh(1)891 2189 y Fl(\000)h Fj(r)1025 2203 y Fh(3)1064 2189 y Fn(\))m Fj(~)-42 b(r)1140 2203 y Fh(2)1202 2189 y Fn(+)21 b(\()p Fj(r)1370 2203 y Fh(1)1432 2189 y Fl(\000)h Fj(r)1566 2203 y Fh(2)1605 2189 y Fn(\))m Fj(~)-42 b(r)1681 2203 y Fh(3)1754 2189 y Fn(on)33 b(the)g(directions)e(of)g Fj(~)-43 b(r)2606 2203 y Fh(2)2679 2189 y Fn(and)32 b(on)h(the)g(p)s (erp)s(endicular)c(to)i Fj(~)-42 b(r)3880 2203 y Fh(2)3919 2189 y Fn(;)212 2301 y(therefore,)43 b Fj(~)-57 b(w)28 b Fn(=)801 2282 y Fj(~)808 2301 y Fn(0)j(implies)c(that)k(\(w)m(e)g (can)g(alw)m(a)m(ys)g(assume)f(that)h Fj(r)2568 2315 y Fh(1)2633 2301 y Fl(6)p Fn(=)25 b Fj(r)2770 2315 y Fh(3)2809 2301 y Fn(\))1519 2510 y Fj(~)-42 b(r)1563 2524 y Fh(2)1627 2510 y Fn(=)1733 2449 y Fj(r)1774 2463 y Fh(3)1834 2449 y Fl(\000)20 b Fj(r)1966 2463 y Fh(2)p 1733 2489 273 4 v 1733 2572 a Fj(r)1774 2586 y Fh(3)1834 2572 y Fl(\000)g Fj(r)1966 2586 y Fh(1)2012 2510 y Fj(~)-42 b(r)2056 2524 y Fh(1)2116 2510 y Fn(+)2217 2449 y Fj(r)2258 2463 y Fh(2)2317 2449 y Fl(\000)20 b Fj(r)2449 2463 y Fh(1)p 2217 2489 V 2217 2572 a Fj(r)2258 2586 y Fh(3)2317 2572 y Fl(\000)g Fj(r)2449 2586 y Fh(1)2496 2510 y Fj(~)-42 b(r)2540 2524 y Fh(3)2610 2510 y Fj(:)212 2722 y Fn(Recalling)27 b(the)i(de\014nition)c(of)k(the)f(co)s(e\016cien)m(ts)h(whic)m(h)e (express)h(the)g(linear)f(dep)s(endence)g(of)e Fj(~)-42 b(r)3480 2736 y Fh(1)3520 2722 y Fn(,)25 b Fj(~)-42 b(r)3614 2736 y Fh(2)3654 2722 y Fn(,)25 b Fj(~)-42 b(r)3748 2736 y Fh(3)3787 2722 y Fn(,)29 b(w)m(e)212 2835 y(get)1721 2977 y Fj(n)1776 2991 y Fh(23)p 1721 3018 130 4 v 1721 3101 a Fj(n)1776 3115 y Fh(13)1944 3039 y Fn(=)2107 2977 y Fj(r)2148 2991 y Fh(3)2208 2977 y Fl(\000)20 b Fj(r)2340 2991 y Fh(2)p 2107 3018 273 4 v 2107 3101 a Fj(r)2148 3115 y Fh(3)2208 3101 y Fl(\000)g Fj(r)2340 3115 y Fh(1)1721 3201 y Fj(n)1776 3215 y Fh(12)p 1721 3241 130 4 v 1721 3325 a Fj(n)1776 3339 y Fh(13)1944 3262 y Fn(=)2107 3201 y Fj(r)2148 3215 y Fh(2)2208 3201 y Fl(\000)g Fj(r)2340 3215 y Fh(1)p 2107 3241 273 4 v 2107 3325 a Fj(r)2148 3339 y Fh(3)2208 3325 y Fl(\000)g Fj(r)2340 3339 y Fh(1)2420 3262 y Fj(;)212 3473 y Fn(whic)m(h)29 b(implies)f Fj(n)836 3487 y Fh(12)930 3473 y Fn(+)20 b Fj(n)1076 3487 y Fh(23)1171 3473 y Fl(\000)g Fj(n)1317 3487 y Fh(13)1416 3473 y Fn(=)25 b(0,)31 b(in)e(con)m(trast)j(to)f(our)f(assumption.)212 3586 y(Next)h(w)m(e)g(compute)g Fj(e)p Fn(,)g Fj(p)p Fn(,)f Fj(g)s Fn(.)h(>F)-8 b(rom)31 b(\(A.53\))h(it)e(follo)m(ws)g (that)1490 3762 y Fj(r)1531 3776 y Fh(1)1654 3762 y Fn(=)83 b Fj(p)20 b Fl(\000)g Fj(e)30 b(r)2078 3776 y Fh(1)2163 3762 y Fn(cos)16 b(\()p Fj(\022)2378 3776 y Fh(1)2438 3762 y Fl(\000)j Fj(g)s Fn(\))1490 3900 y Fj(r)1531 3914 y Fh(2)1654 3900 y Fn(=)83 b Fj(p)20 b Fl(\000)g Fj(e)30 b(r)2078 3914 y Fh(2)2163 3900 y Fn(cos)16 b(\()p Fj(\022)2378 3914 y Fh(2)2438 3900 y Fl(\000)j Fj(g)s Fn(\))1490 4037 y Fj(r)1531 4051 y Fh(3)1654 4037 y Fn(=)83 b Fj(p)20 b Fl(\000)g Fj(e)30 b(r)2078 4051 y Fh(3)2163 4037 y Fn(cos)16 b(\()p Fj(\022)2378 4051 y Fh(3)2438 4037 y Fl(\000)j Fj(g)s Fn(\))32 b Fj(:)1023 b Fn(\(A.54\))212 4213 y(W)-8 b(e)32 b(eliminate)d Fj(e)h Fn(and)g Fj(p)g Fn(through)g(the)g(\014rst)g(and)g(the)g(third)f(of)h(the)h(previous)e (equations,)h(obtaining)1193 4417 y Fj(e)84 b Fn(=)e Fl(\000)2016 4355 y Fj(r)2057 4369 y Fh(3)2116 4355 y Fl(\000)20 b Fj(r)2248 4369 y Fh(1)p 1553 4396 1198 4 v 1553 4479 a Fj(r)1594 4493 y Fh(3)1649 4479 y Fn(cos)c(\()p Fj(\022)1864 4493 y Fh(3)1923 4479 y Fl(\000)k Fj(g)s Fn(\))h Fl(\000)f Fj(r)2248 4493 y Fh(1)2303 4479 y Fn(cos)c(\()p Fj(\022)2518 4493 y Fh(1)2577 4479 y Fl(\000)k Fj(g)s Fn(\))1190 4665 y Fj(p)83 b Fn(=)f Fj(r)1513 4679 y Fh(1)1583 4665 y Fj(r)1624 4679 y Fh(3)1799 4603 y Fn(cos)16 b(\()p Fj(\022)2014 4617 y Fh(3)2074 4603 y Fl(\000)k Fj(g)s Fn(\))h Fl(\000)f Fn(cos)c(\()p Fj(\022)2573 4617 y Fh(1)2633 4603 y Fl(\000)j Fj(g)s Fn(\))p 1704 4644 V 1704 4727 a Fj(r)1745 4741 y Fh(3)1799 4727 y Fn(cos)d(\()p Fj(\022)2014 4741 y Fh(3)2074 4727 y Fl(\000)k Fj(g)s Fn(\))h Fl(\000)f Fj(r)2399 4741 y Fh(1)2454 4727 y Fn(cos)15 b(\()p Fj(\022)2668 4741 y Fh(1)2728 4727 y Fl(\000)20 b Fj(g)s Fn(\))2941 4665 y Fj(:)723 b Fn(\(A.55\))212 4889 y(Finally)-8 b(,)20 b(w)m(e)h(substitute)e(\(A.55\))k(in)d(the)h(second)g(of)g(\(A.54\).)i (Let)e Fj(\022)2464 4904 y Fi(hk)2572 4889 y Fn(=)k Fj(\022)2711 4904 y Fi(k)2755 4889 y Fl(\000)q Fj(\022)2870 4904 y Fi(h)2914 4889 y Fn(;)c(after)g(some)g(computations,)212 5002 y(if)29 b Fj(B)h Fl(6)p Fn(=)25 b(0)31 b(w)m(e)g(get)643 5215 y(tan)15 b(\()p Fj(\022)867 5229 y Fh(2)927 5215 y Fl(\000)20 b Fj(g)s Fn(\))84 b(=)f Fl(\000)1421 5153 y Fj(A)p 1418 5194 74 4 v 1418 5277 a(B)1183 5440 y Fn(=)g Fl(\000)1418 5379 y Fj(r)1459 5393 y Fh(2)1498 5379 y Fn(\()p Fj(r)1574 5393 y Fh(3)1634 5379 y Fl(\000)20 b Fj(r)1766 5393 y Fh(1)1805 5379 y Fn(\))h(+)f Fj(r)1993 5393 y Fh(1)2032 5379 y Fn(\()p Fj(r)2108 5393 y Fh(2)2168 5379 y Fl(\000)g Fj(r)2300 5393 y Fh(3)2340 5379 y Fn(\))15 b(cos)h Fj(\022)2570 5393 y Fh(12)2664 5379 y Fn(+)k Fj(r)2796 5393 y Fh(3)2836 5379 y Fn(\()p Fj(r)2912 5393 y Fh(1)2972 5379 y Fl(\000)g Fj(r)3104 5393 y Fh(2)3143 5379 y Fn(\))15 b(cos)i Fj(\022)3374 5393 y Fh(23)p 1418 5419 2031 4 v 1695 5502 a Fj(r)1736 5516 y Fh(1)1775 5502 y Fn(\()p Fj(r)1851 5516 y Fh(2)1911 5502 y Fl(\000)j Fj(r)2043 5516 y Fh(3)2082 5502 y Fn(\))15 b(sin)g Fj(\022)2303 5516 y Fh(12)2397 5502 y Fl(\000)20 b Fj(r)2529 5516 y Fh(3)2569 5502 y Fn(\()p Fj(r)2645 5516 y Fh(1)2705 5502 y Fl(\000)g Fj(r)2837 5516 y Fh(2)2876 5502 y Fn(\))15 b(sin)f Fj(\022)3096 5516 y Fh(23)3488 5440 y Fn(;)176 b(\(A.56\))2033 5964 y(26)p eop %%Page: 27 27 27 26 bop 212 386 a Fn(otherwise)30 b(w)m(e)h(ha)m(v)m(e)g(cos)16 b(\()p Fj(\022)1175 400 y Fh(2)1235 386 y Fl(\000)k Fj(g)s Fn(\))26 b(=)f(0)31 b(implying)c Fj(\022)2024 400 y Fh(2)2084 386 y Fl(\000)20 b Fj(g)29 b Fn(=)c Fl(\006)2424 351 y Fi(\031)p 2424 366 43 4 v 2428 418 a Fh(2)2476 386 y Fn(.)31 b(Let)g(us)e(write)h Fj(\022)3087 400 y Fh(1)3146 386 y Fl(\000)20 b Fj(g)29 b Fn(=)c(\()p Fj(\022)3483 400 y Fh(2)3543 386 y Fl(\000)20 b Fj(g)s Fn(\))h Fl(\000)f Fj(\022)3870 400 y Fh(12)212 499 y Fn(and)35 b Fj(\022)437 513 y Fh(3)500 499 y Fl(\000)23 b Fj(g)37 b Fn(=)d(\()p Fj(\022)857 513 y Fh(2)920 499 y Fl(\000)23 b Fj(g)s Fn(\))i(+)e Fj(\022)1257 513 y Fh(23)1331 499 y Fn(;)36 b(w)m(e)g(dev)m(elop)f(cos)16 b(\()p Fj(\022)2079 513 y Fh(1)2139 499 y Fl(\000)k Fj(g)s Fn(\))36 b(and)f(cos)16 b(\()p Fj(\022)2744 513 y Fh(3)2803 499 y Fl(\000)k Fj(g)s Fn(\))37 b(in)d(\(A.55\),)k(inserting)33 b(the)212 612 y(v)-5 b(alue)30 b(\(A.56\))i(for)e(tan)16 b(\()p Fj(\022)1096 626 y Fh(2)1156 612 y Fl(\000)j Fj(g)s Fn(\))q(.)31 b(Therefore,)f(if)g Fj(B)f Fl(6)p Fn(=)c(0)31 b(w)m(e)g(get)1128 851 y Fj(e)83 b Fn(=)g Fl(\000)1488 789 y Fj(r)1529 803 y Fh(1)1568 789 y Fn(\()p Fj(r)1644 803 y Fh(2)1704 789 y Fl(\000)20 b Fj(r)1836 803 y Fh(3)1875 789 y Fn(\))15 b(sin)f Fj(\022)2095 803 y Fh(12)2190 789 y Fl(\000)20 b Fj(r)2322 803 y Fh(3)2361 789 y Fn(\()p Fj(r)2437 803 y Fh(1)2497 789 y Fl(\000)g Fj(r)2629 803 y Fh(2)2669 789 y Fn(\))15 b(sin)f Fj(\022)2889 803 y Fh(23)p 1488 829 1477 4 v 1661 913 a Fn(cos)i(\()p Fj(\022)1876 927 y Fh(2)1936 913 y Fl(\000)k Fj(g)s Fn(\))q(\()p Fj(n)2199 927 y Fh(12)2294 913 y Fn(+)f Fj(n)2439 927 y Fh(23)2534 913 y Fl(\000)h Fj(n)2680 927 y Fh(13)2754 913 y Fn(\))3004 851 y Fj(;)660 b Fn(\(A.57\))212 1085 y(otherwise)943 1223 y Fj(e)26 b Fn(=)1117 1161 y Fj(r)1158 1175 y Fh(2)1197 1161 y Fn(\()p Fj(r)1273 1175 y Fh(3)1333 1161 y Fl(\000)20 b Fj(r)1465 1175 y Fh(1)1505 1161 y Fn(\))g(+)g Fj(r)1692 1175 y Fh(1)1732 1161 y Fn(\()p Fj(r)1808 1175 y Fh(2)1868 1161 y Fl(\000)g Fj(r)2000 1175 y Fh(3)2039 1161 y Fn(\))15 b(cos)h Fj(\022)2269 1175 y Fh(12)2364 1161 y Fn(+)k Fj(r)2496 1175 y Fh(3)2535 1161 y Fn(\()p Fj(r)2611 1175 y Fh(1)2671 1161 y Fl(\000)g Fj(r)2803 1175 y Fh(2)2843 1161 y Fn(\))15 b(cos)h Fj(\022)3073 1175 y Fh(23)p 1117 1201 2031 4 v 1573 1285 a Fn(sin)e(\()p Fj(\022)1778 1299 y Fh(2)1838 1285 y Fl(\000)20 b Fj(g)s Fn(\)\()p Fj(n)2100 1299 y Fh(12)2195 1285 y Fn(+)g Fj(n)2341 1299 y Fh(23)2436 1285 y Fl(\000)g Fj(n)2582 1299 y Fh(13)2656 1285 y Fn(\))3188 1223 y Fj(:)212 1426 y Fn(Finally)-8 b(,)29 b(the)i(parameter)g Fj(p)f Fn(is)f(de\014ned)g(as)1329 1654 y Fj(p)c Fn(=)g Fj(r)1537 1668 y Fh(1)1606 1654 y Fj(r)1647 1668 y Fh(2)1717 1654 y Fj(r)1758 1668 y Fh(3)1808 1593 y Fn(sin)13 b Fj(\022)1977 1607 y Fh(12)2072 1593 y Fn(+)20 b(sin)14 b Fj(\022)2333 1607 y Fh(23)2427 1593 y Fl(\000)20 b Fn(sin)14 b Fj(\022)2688 1607 y Fh(13)p 1808 1633 955 4 v 1980 1717 a Fj(n)2035 1731 y Fh(12)2129 1717 y Fn(+)20 b Fj(n)2275 1731 y Fh(23)2370 1717 y Fl(\000)g Fj(n)2516 1731 y Fh(13)2803 1654 y Fj(:)861 b Fn(\(A.58\))212 1884 y(The)30 b(indetermination)e(on)j Fj(g)j Fn(as)d(expressed)f(in)g (\(A.56\))i(is)e(solv)m(ed)h(b)m(y)f(imp)s(osing)f Fj(e)d Fl(\025)f Fn(0)31 b(in)f(\(A.57\),)j(whic)m(h)212 1997 y(implies)c(that)j(cos)16 b(\()p Fj(\022)935 2011 y Fh(2)994 1997 y Fl(\000)k Fj(g)s Fn(\))33 b(has)e(the)g(same)h(sign)f(of)g Fl(\000)p Fn([)p Fj(r)2178 2011 y Fh(1)2218 1997 y Fn(\()p Fj(r)2294 2011 y Fh(2)2354 1997 y Fl(\000)21 b Fj(r)2487 2011 y Fh(3)2526 1997 y Fn(\))15 b(sin)g Fj(\022)2747 2011 y Fh(12)2842 1997 y Fl(\000)21 b Fj(r)2975 2011 y Fh(3)3014 1997 y Fn(\()p Fj(r)3090 2011 y Fh(1)3151 1997 y Fl(\000)f Fj(r)3283 2011 y Fh(2)3323 1997 y Fn(\))15 b(sin)f Fj(\022)3543 2011 y Fh(23)3617 1997 y Fn(])p Fj(=)p Fn(\()p Fj(n)3777 2011 y Fh(12)3874 1997 y Fn(+)212 2110 y Fj(n)267 2124 y Fh(23)354 2110 y Fl(\000)f Fj(n)493 2124 y Fh(13)566 2110 y Fn(\))27 b(if)f Fj(r)749 2124 y Fh(1)788 2110 y Fn(\()p Fj(r)864 2124 y Fh(2)917 2110 y Fl(\000)13 b Fj(r)1042 2124 y Fh(3)1080 2110 y Fn(\))i(sin)g Fj(\022)1301 2124 y Fh(12)1387 2110 y Fl(\000)e Fj(r)1512 2124 y Fh(3)1551 2110 y Fn(\()p Fj(r)1627 2124 y Fh(1)1680 2110 y Fl(\000)g Fj(r)1805 2124 y Fh(2)1843 2110 y Fn(\))i(sin)f Fj(\022)2063 2124 y Fh(23)2163 2110 y Fl(6)p Fn(=)25 b(0,)i(otherwise)f(that)h(sin)14 b(\()p Fj(\022)3155 2124 y Fh(2)3215 2110 y Fl(\000)20 b Fj(g)s Fn(\))q(\(equal)26 b(to)h Fl(\006)g Fn(1\))212 2223 y(has)j(the)h(same)g(sign)e(of)h([)p Fj(r)1115 2237 y Fh(2)1155 2223 y Fn(\()p Fj(r)1231 2237 y Fh(3)1291 2223 y Fl(\000)20 b Fj(r)1423 2237 y Fh(1)1463 2223 y Fn(\))g(+)g Fj(r)1650 2237 y Fh(1)1689 2223 y Fn(\()p Fj(r)1765 2237 y Fh(2)1825 2223 y Fl(\000)g Fj(r)1957 2237 y Fh(3)1997 2223 y Fn(\))15 b(cos)h Fj(\022)2227 2237 y Fh(12)2322 2223 y Fn(+)k Fj(r)2454 2237 y Fh(3)2493 2223 y Fn(\()p Fj(r)2569 2237 y Fh(1)2629 2223 y Fl(\000)g Fj(r)2761 2237 y Fh(2)2801 2223 y Fn(\))15 b(cos)h Fj(\022)3031 2237 y Fh(23)3105 2223 y Fn(])p Fj(=)p Fn(\()p Fj(n)3265 2237 y Fh(12)3361 2223 y Fn(+)k Fj(n)3507 2237 y Fh(23)3601 2223 y Fl(\000)g Fj(n)3747 2237 y Fh(13)3821 2223 y Fn(\).)212 2507 y Fm(B)134 b(Laplace)46 b(metho)t(d)212 2710 y Fn(In)35 b(this)f(app)s(endix)g(w)m(e)i(review)e(a)i(metho)s(d)f(dev)m(elop)s (ed)g(b)m(y)h(Laplace)g(\([4)q(]\),)g(without)f(repro)s(ducing)e(those) 212 2823 y(computations)26 b(whic)m(h)f(ha)m(v)m(e)j(b)s(een)d(already) h(discussed)e(in)h(App)s(endix)f(A.)i(In)g(addition)e(to)j(the)g(h)m (yp)s(otheses)212 2936 y(of)35 b(the)g(previous)f(section,)h(w)m(e)g (assume)g(that)g(the)h(Earth)e(and)g(the)i(b)s(o)s(dy)d Fj(C)41 b Fn(ha)m(v)m(e)36 b(zero{mass)g(and)f(that)212 3049 y(they)g(mo)m(v)m(e)h(on)e(Keplerian)e(orbits)i(according)g(to)i (\(2.10\).)g(The)e(geo)s(cen)m(tric)i(p)s(osition)d(v)m(ector)j Fj(\032)p Fn(\()p Fj(t)p Fn(\))3684 3025 y Fj(~)3694 3049 y(b)p Fn(\()p Fj(t)p Fn(\))f(of)212 3162 y Fj(C)i Fn(is)29 b(de\014ned)g(b)m(y)i(means)f(of)h(the)f(relation)1843 3352 y Fj(~)-43 b(r)28 b Fn(=)20 b Fj(~)-40 b(a)21 b Fn(+)e Fj(\032)2206 3328 y(~)2216 3352 y(b)31 b(;)1382 b Fn(\(B.59\))212 3543 y(while)28 b(the)j(v)m(elo)s(cit)m(y)g(is)e(giv) m(en)i(b)m(y)1734 3656 y Fj(~)-41 b(v)28 b Fn(=)20 b Fj(~)-40 b(a)1954 3618 y Fe(0)1998 3656 y Fn(+)20 b Fj(\032)2136 3618 y Fe(0)2149 3632 y Fj(~)2159 3656 y(b)g Fn(+)g Fj(\032)2346 3632 y(~)2356 3656 y(b)2395 3618 y Fe(0)3693 3656 y Fn(\(B.60\))212 3816 y(\(where,)25 b(as)f(usual,)g Fj(t)h Fl(!)g Fj(\032)p Fn(\()p Fj(t)p Fn(\))g(represen)m(ts)f(the)h(distance)f(of)h Fj(C)31 b Fn(from)24 b(the)g(Earth)g(and)g Fl(j)3155 3792 y Fj(~)3165 3816 y(b)q Fn(\()p Fj(t)p Fn(\))p Fl(j)i Fn(=)f(1)f(if)g Fj(\032)p Fn(\()p Fj(t)p Fn(\))i Fl(6)p Fn(=)f(0,)202 3905 y Fj(~)212 3929 y(b)p Fn(\()p Fj(t)p Fn(\))h(=)469 3909 y Fj(~)476 3929 y Fn(0)31 b(otherwise\).)f(Using)g (\(2.10\))i(one)f(obtains)1349 4188 y Fl(\000)1443 4126 y Fj(~)-39 b(a)p 1430 4167 88 4 v 1430 4250 a(a)1478 4224 y Fh(3)1547 4188 y Fn(+)20 b Fj(\032)1685 4150 y Fe(00)1717 4164 y Fj(~)1727 4188 y(b)h Fn(+)f(2)p Fj(\032)1970 4150 y Fe(0)1983 4164 y Fj(~)1993 4188 y(b)2032 4150 y Fe(0)2076 4188 y Fn(+)g Fj(\032)2204 4164 y(~)2214 4188 y(b)2253 4150 y Fe(00)2320 4188 y Fn(=)25 b Fl(\000)2491 4126 y Fj(~)-39 b(a)20 b Fn(+)g Fj(\032)2693 4102 y(~)2703 4126 y(b)p 2497 4167 246 4 v 2578 4250 a(r)2622 4224 y Fh(3)2782 4188 y Fj(:)212 4399 y Fn(The)30 b(ab)s(o)m(v)m(e)i (equation)e(can)g(b)s(e)g(written)g(in)f(the)h(form:)1263 4653 y Fj(\032)p Fn(\()1335 4629 y Fj(~)1345 4653 y(b)1384 4615 y Fe(00)1447 4653 y Fn(+)1560 4567 y Fj(~)1570 4591 y(b)p 1548 4632 83 4 v 1548 4715 a(r)1592 4689 y Fh(3)1641 4653 y Fn(\))21 b(+)f(2)p Fj(\032)1880 4615 y Fe(0)1893 4629 y Fj(~)1903 4653 y(b)1942 4615 y Fe(0)1986 4653 y Fn(+)g Fj(\032)2124 4615 y Fe(00)2156 4629 y Fj(~)2166 4653 y(b)26 b Fn(=)f Fl(\000)p Fn(\()2461 4591 y(1)p 2443 4632 V 2443 4715 a Fj(r)2487 4689 y Fh(3)2556 4653 y Fl(\000)2678 4591 y Fn(1)p 2657 4632 88 4 v 2657 4715 a Fj(a)2705 4689 y Fh(3)2754 4653 y Fn(\))-6 b Fj(~)-39 b(a)31 b(:)212 4890 y Fn(W)-8 b(e)30 b(can)f(deriv)m(e)f Fj(\032)h Fn(and)f Fj(\032)1096 4857 y Fe(0)1148 4890 y Fn(as)h(functions)e(of)1739 4866 y Fj(~)1750 4890 y(b)p Fn(,)1832 4866 y Fj(~)1843 4890 y(b)1882 4857 y Fe(0)1905 4890 y Fn(,)1948 4866 y Fj(~)1959 4890 y(b)1998 4857 y Fe(00)2040 4890 y Fn(,)i(after)g(scalar)g(m)m(ultiplication)c(with) 3341 4866 y Fj(~)3351 4890 y(b)17 b Fl(^)3475 4866 y Fj(~)3484 4890 y(b)3523 4857 y Fe(0)3546 4890 y Fn(,)3590 4866 y Fj(~)3600 4890 y(b)g Fl(^)3724 4866 y Fj(~)3733 4890 y(b)3772 4857 y Fe(00)3815 4890 y Fn(;)29 b(in)212 5003 y(this)g(w)m(a)m(y)j(w)m(e)f(obtain:)1246 5154 y Fj(\032)25 b Fn(=)1424 5092 y Fj(d)1471 5106 y Fh(1)p 1424 5132 87 4 v 1443 5216 a Fj(d)1520 5154 y Fn(\()1584 5092 y(1)p 1565 5132 83 4 v 1565 5216 a Fj(r)1609 5190 y Fh(3)1679 5154 y Fl(\000)1801 5092 y Fn(1)p 1780 5132 88 4 v 1780 5216 a Fj(a)1828 5190 y Fh(3)1877 5154 y Fn(\))31 b Fj(;)197 b(\032)2212 5116 y Fe(0)2261 5154 y Fn(=)2367 5092 y Fj(d)2414 5106 y Fh(2)p 2367 5132 87 4 v 2386 5216 a Fj(d)2463 5154 y Fn(\()2527 5092 y(1)p 2508 5132 83 4 v 2508 5216 a Fj(r)2552 5190 y Fh(3)2622 5154 y Fl(\000)2744 5092 y Fn(1)p 2723 5132 88 4 v 2723 5216 a Fj(a)2771 5190 y Fh(3)2820 5154 y Fn(\))31 b Fj(;)782 b Fn(\(B.61\))212 5334 y(where:)930 5463 y Fj(d)25 b Fn(=)1088 5439 y Fj(~)1098 5463 y(b)c Fl(^)1229 5439 y Fj(~)1238 5463 y(b)1277 5425 y Fe(0)1321 5463 y Fl(\001)1356 5439 y Fj(~)1366 5463 y(b)1405 5425 y Fe(00)1478 5463 y Fj(;)197 b(d)1747 5477 y Fh(1)1812 5463 y Fn(=)25 b Fl(\000)1969 5439 y Fj(~)1979 5463 y(b)20 b Fl(^)2109 5439 y Fj(~)2119 5463 y(b)2158 5425 y Fe(0)2201 5463 y Fl(\001)15 b Fj(~)-39 b(a)30 b(;)197 b(d)2594 5477 y Fh(2)2659 5463 y Fn(=)25 b Fl(\000)2836 5401 y Fn(1)p 2836 5442 46 4 v 2836 5525 a(2)2881 5439 y Fj(~)2892 5463 y(b)20 b Fl(^)15 b Fj(~)-40 b(a)20 b Fl(\001)3135 5439 y Fj(~)3145 5463 y(b)3184 5425 y Fe(00)3693 5463 y Fn(\(B.62\))2033 5964 y(27)p eop %%Page: 28 28 28 27 bop 212 386 a Fn(for)28 b(an)m(y)h Fj(t)f Fn(suc)m(h)g(that)h Fj(d)p Fn(\()p Fj(t)p Fn(\))d Fl(6)p Fn(=)f(0.)k(Notice)h(that)f(the)f (\014rst)g(equation)g(in)g(\(B.61\))i(is)e(an)g(implicit)d(equation)k (for)212 499 y Fj(\032)h Fn(and)g(it)g(tak)m(es)i(the)e(form:)1174 713 y Fj(\032)83 b Fn(=)g Fj(L)p Fn(\()p Fj(d)1602 727 y Fh(1)1642 713 y Fj(=d;)15 b(\032)p Fn(\))32 b Fj(;)197 b(L)p Fn(\()p Fj(x;)15 b(\032)p Fn(\))26 b Fl(\021)f Fj(x)p Fn(\()2663 652 y(1)p 2600 692 171 4 v 2600 775 a Fj(h)p Fn(\()p Fj(\032)p Fn(\))2801 713 y Fl(\000)2923 652 y Fn(1)p 2902 692 88 4 v 2902 775 a Fj(a)2950 749 y Fh(3)2999 713 y Fn(\))31 b Fj(;)1051 920 y(h)p Fn(\()p Fj(\032)p Fn(\))84 b Fl(\021)f Fj(r)1502 883 y Fh(3)1566 920 y Fn(=)25 b Fl(j)-6 b Fj(~)-39 b(a)21 b Fn(+)f Fj(\032)1884 896 y(~)1894 920 y(b)p Fl(j)1958 883 y Fh(3)2023 920 y Fn(=)25 b(\()p Fj(a)2202 883 y Fh(2)2262 920 y Fn(+)20 b(2)-6 b Fj(~)-39 b(a)2436 896 y(~)2446 920 y(b\032)20 b Fn(+)g Fj(\032)2690 883 y Fh(2)2730 920 y Fn(\))2765 883 y Fh(3)p Fi(=)p Fh(2)2905 920 y Fj(:)763 b Fn(\(B.63\))212 1101 y(W)-8 b(e)40 b(denote)f(b)m(y)f Fj(t)845 1115 y Fh(2)923 1101 y Fn(the)h(time)f(of)h(the)g(mean)f(observ)-5 b(ation)38 b(and)g(w)m(e)h(let)g Fj(f)2833 1115 y Fh(2)2911 1101 y Fn(=)f Fj(f)10 b Fn(\()p Fj(t)3143 1115 y Fh(2)3182 1101 y Fn(\))39 b(\(for)g(an)m(y)g(function)212 1214 y Fj(t)25 b Fl(!)g Fj(f)10 b Fn(\()p Fj(t)p Fn(\))30 b(app)s(earing)f(in)h(\(B.59\))i(and)e(\(B.60\)\).)j(Then,)d(one)g (obtains:)1217 1394 y Fj(~)-42 b(r)1261 1408 y Fh(2)1325 1394 y Fn(=)19 b Fj(~)-39 b(a)1469 1408 y Fh(2)1529 1394 y Fn(+)20 b Fj(\032)1667 1408 y Fh(2)1696 1370 y Fj(~)1706 1394 y(b)1745 1408 y Fh(2)1815 1394 y Fj(;)194 b(~)-42 b(v)2081 1408 y Fh(2)2146 1394 y Fn(=)19 b Fj(~)-39 b(a)2290 1357 y Fe(0)2290 1417 y Fh(2)2350 1394 y Fn(+)20 b Fj(\032)2488 1357 y Fe(0)2488 1417 y Fh(2)2517 1370 y Fj(~)2527 1394 y(b)2566 1408 y Fh(2)2626 1394 y Fn(+)g Fj(\032)2764 1408 y Fh(2)2793 1370 y Fj(~)2803 1394 y(b)2842 1357 y Fe(0)2842 1417 y Fh(2)2912 1394 y Fj(;)756 b Fn(\(B.64\))212 1575 y(where)19 b Fj(~)-40 b(a)517 1589 y Fh(2)581 1575 y Fn(and)19 b Fj(~)-40 b(a)800 1542 y Fe(0)800 1598 y Fh(2)864 1575 y Fn(are)25 b(quan)m(tities)f(whic)m(h)g(can)h(b)s(e)e (deriv)m(ed)h(from)g(ephemeris,)g(while)3147 1551 y Fj(~)3155 1575 y(b)3194 1589 y Fh(2)3258 1575 y Fn(denotes)h(the)g(mean)212 1688 y(geo)s(cen)m(tric)h(observ)-5 b(ation.)26 b(The)e(unkno)m(wn)g (orbit)g(is)g(completely)h(determined)f(b)m(y)h(the)g(equation)g(of)h (motion)212 1801 y(\(see)33 b(the)f(second)f(equation)h(in)e (\(2.10\)\))k(and)e(b)m(y)f(the)h(initial)d(condition)e Fj(~)-42 b(r)s Fn(\()p Fj(t)2867 1815 y Fh(2)2906 1801 y Fn(\))28 b(=)c Fj(~)-42 b(r)3108 1815 y Fh(2)3148 1801 y Fn(,)29 b Fj(~)-42 b(r)3280 1768 y Fe(0)3303 1801 y Fn(\()p Fj(t)3371 1815 y Fh(2)3411 1801 y Fn(\))27 b(=)d Fj(~)-42 b(v)3615 1815 y Fh(2)3655 1801 y Fn(,)32 b(where)209 1914 y Fj(~)-42 b(r)253 1928 y Fh(2)293 1914 y Fn(,)27 b Fj(~)-42 b(v)392 1928 y Fh(2)462 1914 y Fn(ha)m(v)m(e)32 b(b)s(een)d(de\014ned)g(in)g(\(B.64\).)k(Therefore)d(w)m(e)h(ha)m(v)m 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b(to)d(the)f(me)-5 b(an)38 b(observation.)h(Then)f(the)f(p) -5 b(osition)39 b(and)g(velo)-5 b(city)212 2667 y(ve)g(ctors)34 b(at)g(time)f Fj(t)868 2681 y Fh(2)940 2667 y Fk(may)h(b)-5 b(e)33 b(expr)-5 b(esse)g(d)35 b(as)e(functions)h(of)2256 2643 y Fj(~)2266 2667 y(b)2305 2681 y Fh(2)2344 2667 y Fk(,)2395 2643 y Fj(~)2405 2667 y(b)2444 2634 y Fe(0)2444 2690 y Fh(2)2517 2667 y Fk(thr)-5 b(ough)34 b(\(B.64\),)g(with)g Fj(\032)3408 2681 y Fh(2)3448 2667 y Fk(,)f Fj(\032)3556 2634 y Fe(0)3556 2690 y Fh(2)3628 2667 y Fk(given)f(in)212 2780 y(\(B.61\))i(and)f(\(B.62\).)212 3029 y Fn(In)44 b(view)g(of)h(the)f(previous)g(result,)f(w)m(e)i(are)h(led)d(to)j(the)e (problem)f(of)i(\014nding)e(an)h(algorithm)g(for)g(the)212 3142 y(computation)29 b(of)833 3118 y Fj(~)843 3142 y(b)882 3109 y Fe(0)882 3165 y Fh(2)922 3142 y Fn(,)966 3118 y Fj(~)976 3142 y(b)1015 3109 y Fe(00)1015 3165 y Fh(2)1087 3142 y Fn(from)1290 3118 y Fj(~)1300 3142 y(b)1339 3156 y Fh(1)1379 3142 y Fn(,)1423 3118 y Fj(~)1433 3142 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y Fh(2)p Fi(;)p Fh(3)988 5490 y Fn(=)83 b Fj(\014)1198 5452 y Fe(00)1193 5512 y Fh(2)1256 5490 y Fn(cos)16 b Fj(\014)1444 5504 y Fh(2)1504 5490 y Fl(\000)k Fn(\()p Fj(\014)1686 5452 y Fe(0)1681 5512 y Fh(2)1721 5490 y Fn(\))1756 5452 y Fh(2)1811 5490 y Fn(sin)14 b Fj(\014)1989 5504 y Fh(2)2059 5490 y Fj(:)2033 5964 y Fn(28)p eop %%Page: 29 29 29 28 bop 212 386 a Fn(Next)31 b(w)m(e)g(discuss)e(ho)m(w)h(to)h (obtain)f(appro)m(ximate)h(v)-5 b(alues)29 b(for)h Fj(\025)2444 353 y Fe(0)2444 410 y Fh(2)2484 386 y Fn(,)g Fj(\025)2592 353 y Fe(00)2592 410 y Fh(2)2635 386 y Fn(,)g Fj(\014)2746 353 y Fe(0)2741 410 y Fh(2)2781 386 y Fn(,)h Fj(\014)2893 353 y Fe(00)2888 410 y Fh(2)2935 386 y Fn(.)212 559 y(Using)f(T)-8 b(a)m(ylor)30 b(expansion,)g(one)g(can)h(write)522 797 y Fj(\025)575 811 y Fh(1)639 797 y Fn(=)25 b Fj(\025)788 811 y Fh(2)848 797 y Fl(\000)20 b Fj(\025)992 759 y Fe(0)992 819 y Fh(2)1062 797 y Fj(t)1095 811 y Fh(12)1189 797 y Fn(+)1290 735 y(1)p 1290 776 46 4 v 1290 859 a(2)1346 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2016 y Fj(t)2106 2030 y Fh(12)2201 2016 y Fl(\000)e Fj(t)2324 2030 y Fh(23)p 2073 2056 327 4 v 2113 2140 a Fj(t)2146 2154 y Fh(12)2251 2140 y Fj(t)2284 2154 y Fh(23)2409 2077 y Fj(\014)2460 2091 y Fh(2)2520 2077 y Fn(+)2690 2016 y Fj(t)2723 2030 y Fh(12)p 2621 2056 246 4 v 2621 2140 a Fj(t)2654 2154 y Fh(13)2759 2140 y Fj(t)2792 2154 y Fh(23)2876 2077 y Fn(\()p Fj(\014)2962 2091 y Fh(3)3023 2077 y Fl(\000)h Fj(S)3170 2091 y Fh(3)3209 2077 y Fn(\))912 2307 y Fj(\014)968 2269 y Fe(00)963 2329 y Fh(2)1094 2307 y Fn(=)1358 2245 y(2)p 1258 2286 V 1258 2369 a Fj(t)1291 2383 y Fh(12)1396 2369 y Fj(t)1429 2383 y Fh(13)1513 2307 y Fn(\()p Fj(\014)1599 2321 y Fh(1)1660 2307 y Fl(\000)f Fj(S)1806 2321 y Fh(1)1846 2307 y Fn(\))h Fl(\000)2102 2245 y Fn(2)p 2002 2286 V 2002 2369 a Fj(t)2035 2383 y Fh(12)2140 2369 y Fj(t)2173 2383 y Fh(23)2257 2307 y Fj(\014)2308 2321 y Fh(2)2368 2307 y Fn(+)2569 2245 y(2)p 2469 2286 V 2469 2369 a Fj(t)2502 2383 y Fh(13)2607 2369 y Fj(t)2640 2383 y Fh(23)2725 2307 y Fn(\()p Fj(\014)2811 2321 y Fh(3)2871 2307 y Fl(\000)g Fj(S)3018 2321 y Fh(3)3057 2307 y Fn(\))31 b Fj(;)545 b Fn(\(B.68\))212 2558 y(where)32 b Fj(S)533 2572 y Fh(1)572 2558 y Fn(,)g Fj(S)685 2572 y Fh(3)756 2558 y Fn(are)h(suitable)d (functions)h(of)h Fj(O)s Fn(\()p Fj(")1898 2525 y Fh(3)1938 2558 y Fn(\).)h(Inserting)e Fj(R)2484 2572 y Fh(1)2551 2558 y Fn(=)d Fj(R)2719 2572 y Fh(3)2787 2558 y Fn(=)f Fj(S)2941 2572 y Fh(1)3009 2558 y Fn(=)g Fj(S)3163 2572 y Fh(3)3231 2558 y Fn(=)g(0)33 b(in)e(\(B.67\))j(and)212 2671 y(\(B.68\),)f(one)e(obtains)e(the)i(follo)m(wing)e(v)-5 b(alues)29 b(for)i Fj(\025)2008 2638 y Fe(0)2008 2694 y Fh(0)2047 2671 y Fn(,)g Fj(\025)2156 2638 y Fe(00)2156 2694 y Fh(0)2198 2671 y Fn(,)g Fj(\014)2310 2638 y Fe(0)2305 2694 y Fh(0)2344 2671 y Fn(,)g Fj(\014)2456 2638 y Fe(00)2451 2694 y Fh(0)2499 2671 y Fn(:)258 2914 y Fj(\025)311 2876 y Fe(0)311 2936 y Fh(0)375 2914 y Fn(=)25 b Fl(\000)621 2852 y Fj(t)654 2866 y Fh(23)p 552 2893 V 552 2976 a Fj(t)585 2990 y Fh(12)690 2976 y Fj(t)723 2990 y Fh(13)807 2914 y Fj(\025)860 2928 y Fh(1)916 2914 y Fl(\000)1012 2852 y Fj(t)1045 2866 y Fh(12)1140 2852 y Fl(\000)20 b Fj(t)1264 2866 y Fh(23)p 1012 2893 327 4 v 1053 2976 a Fj(t)1086 2990 y Fh(12)1191 2976 y Fj(t)1224 2990 y Fh(23)1349 2914 y Fj(\025)1402 2928 y Fh(2)1457 2914 y Fn(+)1623 2852 y Fj(t)1656 2866 y Fh(12)p 1554 2893 246 4 v 1554 2976 a Fj(t)1587 2990 y Fh(13)1692 2976 y Fj(t)1725 2990 y Fh(23)1809 2914 y Fj(\025)1862 2928 y Fh(3)1930 2914 y Fj(;)197 b(\025)2205 2876 y Fe(00)2205 2936 y Fh(0)2273 2914 y Fn(=)2479 2852 y(2)p 2379 2893 V 2379 2976 a Fj(t)2412 2990 y Fh(12)2517 2976 y Fj(t)2550 2990 y Fh(13)2634 2914 y Fj(\025)2687 2928 y Fh(1)2743 2914 y Fl(\000)2939 2852 y Fn(2)p 2839 2893 V 2839 2976 a Fj(t)2872 2990 y Fh(12)2977 2976 y Fj(t)3010 2990 y Fh(23)3095 2914 y Fj(\025)3148 2928 y Fh(2)3203 2914 y Fn(+)3400 2852 y(2)p 3300 2893 V 3300 2976 a Fj(t)3333 2990 y Fh(13)3438 2976 y Fj(t)3471 2990 y Fh(23)3555 2914 y Fj(\025)3608 2928 y Fh(3)3693 2914 y Fn(\(B.69\))212 3152 y(and)258 3372 y Fj(\014)314 3335 y Fe(0)309 3395 y Fh(0)374 3372 y Fn(=)25 b Fl(\000)619 3311 y Fj(t)652 3325 y Fh(23)p 551 3351 V 551 3435 a Fj(t)584 3449 y Fh(12)688 3435 y Fj(t)721 3449 y Fh(13)806 3372 y Fj(\014)857 3386 y Fh(1)907 3372 y Fl(\000)999 3311 y Fj(t)1032 3325 y Fh(12)1127 3311 y Fl(\000)20 b Fj(t)1251 3325 y Fh(23)p 999 3351 327 4 v 1040 3435 a Fj(t)1073 3449 y Fh(12)1177 3435 y Fj(t)1210 3449 y Fh(23)1335 3372 y Fj(\014)1386 3386 y Fh(2)1437 3372 y Fn(+)1598 3311 y Fj(t)1631 3325 y Fh(12)p 1529 3351 246 4 v 1529 3435 a Fj(t)1562 3449 y Fh(13)1667 3435 y Fj(t)1700 3449 y Fh(23)1784 3372 y Fj(\014)1835 3386 y Fh(3)1901 3372 y Fj(;)197 b(\014)2179 3335 y Fe(00)2174 3395 y Fh(0)2247 3372 y Fn(=)2453 3311 y(2)p 2353 3351 V 2353 3435 a Fj(t)2386 3449 y Fh(12)2491 3435 y Fj(t)2524 3449 y Fh(13)2608 3372 y Fj(\014)2659 3386 y Fh(1)2710 3372 y Fl(\000)2902 3311 y Fn(2)p 2802 3351 V 2802 3435 a Fj(t)2835 3449 y Fh(12)2939 3435 y Fj(t)2972 3449 y Fh(23)3057 3372 y Fj(\014)3108 3386 y Fh(2)3159 3372 y Fn(+)3350 3311 y(2)p 3250 3351 V 3250 3435 a Fj(t)3283 3449 y Fh(13)3388 3435 y Fj(t)3421 3449 y Fh(23)3506 3372 y Fj(\014)3557 3386 y Fh(3)3622 3372 y Fj(:)46 b Fn(\(B.70\))212 3624 y(These)35 b(quan)m(tities)g(represen) m(t)h(an)f Fk(appr)-5 b(oximation)47 b Fn(of)36 b Fj(\025)2205 3591 y Fe(0)2205 3647 y Fh(2)2244 3624 y Fn(,)g Fj(\014)2361 3591 y Fe(0)2356 3647 y Fh(2)2396 3624 y Fn(,)f Fj(\025)2509 3591 y Fe(00)2509 3647 y Fh(2)2552 3624 y Fn(,)h Fj(\014)2669 3591 y Fe(00)2664 3647 y Fh(2)2711 3624 y Fn(,)g(b)s(eing)e Fj(\025)3075 3591 y Fe(0)3075 3647 y Fh(2)3149 3624 y Fn(=)f Fj(\025)3306 3591 y Fe(0)3306 3647 y Fh(0)3369 3624 y Fn(+)24 b Fj(O)s Fn(\()p Fj(")3613 3591 y Fh(2)3653 3624 y Fn(\),)36 b Fj(\014)3805 3591 y Fe(0)3800 3647 y Fh(2)3874 3624 y Fn(=)212 3737 y Fj(\014)268 3704 y Fe(0)263 3760 y Fh(0)327 3737 y Fn(+)24 b Fj(O)s Fn(\()p Fj(")571 3704 y Fh(2)611 3737 y Fn(\),)36 b Fj(\025)760 3704 y Fe(00)760 3760 y Fh(2)837 3737 y Fn(=)f Fj(\025)996 3704 y Fe(00)996 3760 y Fh(0)1062 3737 y Fn(+)24 b Fj(O)s Fn(\()p Fj(")p Fn(\),)37 b Fj(\014)1459 3704 y Fe(00)1454 3760 y Fh(2)1536 3737 y Fn(=)d Fj(\014)1697 3704 y Fe(00)1692 3760 y Fh(0)1764 3737 y Fn(+)24 b Fj(O)s Fn(\()p Fj(")p Fn(\),)37 b(as)f(one)g(easily)g(\014nds)e(b)m(y)i(\(B.67\))i(and)d (\(B.68\).)k(The)212 3849 y(form)m(ulae)44 b(\(B.69\))i([\(B.70\)])h (are)e(often)f(referred)g(to)g(as)h Fk(interp)-5 b(olation)48 b(formulae)p Fn(,)e(since)d(they)i(can)f(b)s(e)212 3962 y(in)m(terpreted)30 b(as)g(the)h(expressions)e(that)i Fj(\025)1672 3929 y Fe(0)1672 3985 y Fh(2)1711 3962 y Fn(,)g Fj(\025)1820 3929 y Fe(00)1820 3985 y Fh(2)1892 3962 y Fn([)p Fj(\014)1973 3929 y Fe(0)1968 3985 y Fh(2)2009 3962 y Fn(,)f Fj(\014)2120 3929 y Fe(00)2115 3985 y Fh(2)2163 3962 y Fn(])g(tak)m(e)i(whenev)m(er)e Fj(\025)p Fn(\()p Fj(t)p Fn(\))h([)p Fj(\014)5 b Fn(\()p Fj(t)p Fn(\)])32 b(is)d(replaced)h(b)m(y)g(the)212 4075 y(second)h(order)e(T)-8 b(a)m(ylor)31 b(expansion)1455 4051 y(~)1451 4075 y Fj(\025)p Fn(\()p Fj(t)p Fn(\))g([)1676 4051 y(~)1663 4075 y Fj(\014)6 b Fn(\()p Fj(t)p Fn(\)])31 b(with)2090 4051 y(~)2086 4075 y Fj(\025)p Fn(\()p Fj(t)2207 4090 y Fi(k)2250 4075 y Fn(\))25 b(=)g Fj(\025)2459 4090 y Fi(k)2532 4075 y Fn([)2570 4051 y(~)2557 4075 y Fj(\014)6 b Fn(\()p Fj(t)2682 4090 y Fi(k)2725 4075 y Fn(\))25 b(=)g Fj(\014)2932 4090 y Fi(k)2975 4075 y Fn(],)31 b(for)f Fj(k)f Fn(=)c(1)p Fj(;)15 b Fn(2)p Fj(;)g Fn(3)32 b(.)212 4248 y(W)-8 b(e)32 b(are)e(\014nally)f(led)g(to)i(the)g(follo)m(wing)212 4461 y Fo(Theorem)j(B.1)46 b Fk(\(L)-5 b(aplac)g(e)49 b(A)n(lgorithm\))e(Given)41 b Fj(~)-40 b(a)2039 4475 y Fh(1)2079 4461 y Fk(,)40 b Fj(~)-39 b(a)2201 4475 y Fh(2)2241 4461 y Fk(,)40 b Fj(~)-39 b(a)2363 4475 y Fh(3)2402 4461 y Fk(,)2466 4437 y Fj(~)2477 4461 y(b)2516 4475 y Fh(1)2555 4461 y Fk(,)2619 4437 y Fj(~)2629 4461 y(b)2668 4475 y Fh(2)2708 4461 y Fk(,)2772 4437 y Fj(~)2782 4461 y(b)2821 4475 y Fh(3)2860 4461 y Fk(,)47 b(let)f Fl(C)52 b Fk(b)-5 b(e)46 b(a)h(c)-5 b(onic)47 b(se)-5 b(ction,)212 4574 y(solution)37 b(of)g(the)f(pr)-5 b(oblem,)38 b(such)e(that)h Fj(d)p Fn(\()p Fj(t)1710 4588 y Fh(2)1750 4574 y Fn(\))32 b Fl(6)p Fn(=)f(0)p Fk(,)36 b Fj(\032)p Fn(\()p Fj(t)2143 4589 y Fi(k)2186 4574 y Fn(\))c Fl(6)p Fn(=)f(0)36 b Fk(for)h Fj(k)d Fn(=)d(1)p Fj(;)15 b Fn(2)p Fj(;)g Fn(3)38 b Fk(and)3229 4538 y Fi(@)p 3211 4553 78 4 v 3211 4605 a(@)t(\032)3299 4574 y Fj(L)p Fn(\()p Fj(d)3443 4588 y Fh(1)3483 4574 y Fj(=d;)15 b(\032)3662 4588 y Fh(2)3702 4574 y Fn(\))32 b Fl(6)p Fn(=)f(1)p Fk(.)212 4715 y(L)-5 b(et)33 b Fj(\025)422 4682 y Fe(0)422 4738 y Fi(n)469 4715 y Fk(,)f Fj(\014)585 4682 y Fe(0)580 4738 y Fi(n)628 4715 y Fk(,)g Fj(\025)741 4682 y Fe(00)741 4738 y Fi(n)788 4715 y Fk(,)h Fj(\014)905 4682 y Fe(00)900 4738 y Fi(n)980 4715 y Fk(b)-5 b(e)32 b(as)h(in)g(\(2.14\))h(and)g(let)1887 4691 y Fj(~)1897 4715 y(b)1936 4682 y Fe(0)1936 4738 y Fi(n)2009 4715 y Fn(=)25 b(\()p Fj(b)2179 4682 y Fe(0)2179 4738 y Fi(n;)p Fh(1)2281 4715 y Fj(;)15 b(b)2360 4682 y Fe(0)2360 4738 y Fi(n;)p Fh(2)2462 4715 y Fj(;)g(b)2541 4682 y Fe(0)2541 4738 y Fi(n;)p Fh(3)2643 4715 y Fn(\))33 b Fk(b)-5 b(e)33 b(de\014ne)-5 b(d)33 b(as:)1222 4919 y Fj(b)1261 4882 y Fe(0)1261 4942 y Fi(n;)p Fh(1)1446 4919 y Fn(=)83 b Fl(\000)p Fj(\025)1724 4882 y Fe(0)1724 4942 y Fi(n)1786 4919 y Fn(sin)13 b Fj(\025)1965 4933 y Fh(2)2020 4919 y Fn(cos)j Fj(\014)2208 4933 y Fh(2)2268 4919 y Fl(\000)k Fj(\014)2415 4882 y Fe(0)2410 4942 y Fi(n)2472 4919 y Fn(cos)c Fj(\025)2662 4933 y Fh(2)2717 4919 y Fn(sin)e Fj(\014)2895 4933 y Fh(2)1222 5057 y Fj(b)1261 5020 y Fe(0)1261 5080 y Fi(n;)p Fh(2)1446 5057 y Fn(=)83 b Fj(\025)1653 5020 y Fe(0)1653 5080 y Fi(n)1715 5057 y Fn(cos)16 b Fj(\025)1905 5071 y Fh(2)1959 5057 y Fn(cos)g Fj(\014)2147 5071 y Fh(2)2207 5057 y Fl(\000)k Fj(\014)2354 5020 y Fe(0)2349 5080 y Fi(n)2412 5057 y Fn(sin)13 b Fj(\025)2591 5071 y Fh(2)2646 5057 y Fn(sin)h Fj(\014)2824 5071 y Fh(2)1222 5195 y Fj(b)1261 5157 y Fe(0)1261 5217 y Fi(n;)p Fh(3)1446 5195 y Fn(=)83 b Fj(\014)1656 5157 y Fe(0)1651 5217 y Fi(n)1713 5195 y Fn(cos)16 b Fj(\014)1901 5209 y Fh(2)1973 5195 y Fn(;)2033 5964 y(29)p eop %%Page: 30 30 30 29 bop 212 386 a Fk(let)330 362 y Fj(~)340 386 y(b)379 353 y Fe(00)379 409 y Fi(n)451 386 y Fn(=)25 b(\()p Fj(b)621 353 y Fe(00)621 410 y Fi(n;)p Fh(1)723 386 y Fj(;)15 b(b)802 353 y Fe(00)802 410 y Fi(n;)p Fh(2)905 386 y Fj(;)g(b)984 353 y Fe(00)984 410 y Fi(n;)p Fh(3)1086 386 y Fn(\))33 b Fk(b)-5 b(e)32 b(de\014ne)-5 b(d)34 b(as)762 589 y Fj(b)801 551 y Fe(00)801 611 y Fi(n;)p Fh(1)986 589 y Fn(=)83 b Fl(\000)p Fj(\025)1264 551 y Fe(00)1264 611 y Fi(n)1326 589 y Fn(sin)13 b Fj(\025)1505 603 y Fh(2)1560 589 y Fn(cos)j Fj(\014)1748 603 y Fh(2)1808 589 y Fl(\000)k Fj(\014)1955 551 y Fe(00)1950 611 y Fi(n)2013 589 y Fn(cos)15 b Fj(\025)2202 603 y Fh(2)2257 589 y Fn(sin)f Fj(\014)2435 603 y Fh(2)2495 589 y Fl(\000)20 b Fn(\()p Fj(\025)2674 551 y Fe(0)2674 611 y Fi(n)2721 589 y Fn(\))2756 551 y Fh(2)2811 589 y Fn(cos)c Fj(\025)3001 603 y Fh(2)3056 589 y Fn(cos)f Fj(\014)3243 603 y Fh(2)3304 589 y Fn(+)986 738 y(+)83 b(2)p Fj(\025)1238 700 y Fe(0)1238 760 y Fi(n)1285 738 y Fj(\014)1341 700 y Fe(0)1336 760 y Fi(n)1399 738 y Fn(sin)13 b Fj(\025)1578 752 y Fh(2)1633 738 y Fn(sin)h Fj(\014)1811 752 y Fh(2)1871 738 y Fl(\000)20 b Fn(\()p Fj(\014)2053 700 y Fe(0)2048 760 y Fi(n)2096 738 y Fn(\))2131 700 y Fh(2)2185 738 y Fn(cos)c Fj(\025)2375 752 y Fh(2)2430 738 y Fn(cos)g Fj(\014)2618 752 y Fh(2)762 876 y Fj(b)801 838 y Fe(00)801 898 y Fi(n;)p Fh(2)986 876 y Fn(=)83 b Fj(\025)1193 838 y Fe(00)1193 898 y Fi(n)1255 876 y Fn(cos)16 b Fj(\025)1445 890 y Fh(2)1499 876 y Fn(cos)g Fj(\014)1687 890 y Fh(2)1747 876 y Fl(\000)k Fj(\014)1894 838 y Fe(00)1889 898 y Fi(n)1952 876 y Fn(sin)14 b Fj(\025)2132 890 y Fh(2)2186 876 y Fn(sin)g Fj(\014)2364 890 y Fh(2)2424 876 y Fl(\000)20 b Fn(\()p Fj(\025)2603 838 y Fe(0)2603 898 y Fi(n)2650 876 y Fn(\))2685 838 y Fh(2)2740 876 y Fn(sin)14 b Fj(\025)2920 890 y Fh(2)2975 876 y Fn(cos)i Fj(\014)3163 890 y Fh(2)3223 876 y Fn(+)986 1024 y Fl(\000)83 b Fn(2)p Fj(\025)1238 987 y Fe(0)1238 1047 y Fi(n)1285 1024 y Fj(\014)1341 987 y Fe(0)1336 1047 y Fi(n)1399 1024 y Fn(cos)16 b Fj(\025)1589 1038 y Fh(2)1643 1024 y Fn(sin)e Fj(\014)1821 1038 y Fh(2)1881 1024 y Fl(\000)20 b Fn(\()p Fj(\014)2063 987 y Fe(0)2058 1047 y Fi(n)2106 1024 y Fn(\))2141 987 y Fh(2)2196 1024 y Fn(sin)13 b Fj(\025)2375 1038 y Fh(2)2430 1024 y Fn(cos)j Fj(\014)2618 1038 y Fh(2)762 1162 y Fj(b)801 1125 y Fe(00)801 1185 y Fi(n;)p Fh(3)986 1162 y Fn(=)83 b Fj(\014)1196 1125 y Fe(00)1191 1185 y Fi(n)1253 1162 y Fn(cos)16 b Fj(\014)1441 1176 y Fh(2)1501 1162 y Fl(\000)k Fn(\()p Fj(\014)1683 1125 y Fe(0)1678 1185 y Fi(n)1726 1162 y Fn(\))1761 1125 y Fh(2)1816 1162 y Fn(sin)14 b Fj(\014)1994 1176 y Fh(2)2066 1162 y Fn(;)212 1373 y Fk(let)31 b Fj(d)385 1387 y Fi(n)458 1373 y Fn(=)563 1349 y Fj(~)554 1373 y(b)593 1387 y Fh(2)648 1373 y Fl(^)715 1349 y Fj(~)725 1373 y(b)764 1340 y Fe(0)764 1395 y Fi(n)828 1373 y Fl(\001)859 1349 y Fj(~)869 1373 y(b)908 1340 y Fe(00)908 1395 y Fi(n)955 1373 y Fk(,)g Fj(d)1061 1387 y Fi(n;)p Fh(1)1189 1373 y Fn(=)24 b Fl(\000)1365 1349 y Fj(~)1355 1373 y(b)1394 1387 y Fh(2)1450 1373 y Fl(^)1517 1349 y Fj(~)1527 1373 y(b)1566 1340 y Fe(0)1566 1395 y Fi(n)1629 1373 y Fl(\001)31 b Fj(~)-59 b(a)1719 1387 y Fh(2)1759 1373 y Fk(,)30 b Fj(d)1864 1387 y Fi(n;)p Fh(2)1992 1373 y Fn(=)25 b Fl(\000)2169 1337 y Fh(1)p 2169 1352 36 4 v 2169 1404 a(2)2223 1349 y Fj(~)2213 1373 y(b)2252 1387 y Fh(2)2308 1373 y Fl(^)30 b Fj(~)-59 b(a)2433 1387 y Fh(2)2489 1373 y Fl(\001)2520 1349 y Fj(~)2531 1373 y(b)2570 1340 y Fe(00)2570 1395 y Fi(n)2648 1373 y Fk(with)31 b Fj(d)2890 1387 y Fi(n)2963 1373 y Fl(6)p Fn(=)25 b(0)p Fk(.)31 b(Then,)g(ther)-5 b(e)32 b(exists)f(a)212 1486 y(neighb)-5 b(orho)g(o)g(d)37 b Fj(U)43 b Fk(of)33 b Fj(x)26 b Fl(\021)g Fj(d)1187 1500 y Fh(1)1227 1486 y Fj(=d)34 b Fk(and)g(a)f(neighb)-5 b(orho)g(o)g(d)37 b Fj(V)53 b Fk(of)34 b Fj(\032)2411 1500 y Fh(2)2483 1486 y Fk(such)f(that,)i(if)e Fj(x)3046 1500 y Fi(n)3119 1486 y Fl(\021)26 b Fj(d)3263 1500 y Fi(n;)p Fh(1)3365 1486 y Fj(=d)3457 1500 y Fi(n)3531 1486 y Fl(2)f Fj(U)10 b Fk(,)33 b(ther)-5 b(e)212 1598 y(exists)33 b Fj(\032)508 1612 y Fi(n)580 1598 y Fl(2)25 b Fj(V)53 b Fk(such)33 b(that)g Fj(\032)1211 1612 y Fh(2)1276 1598 y Fn(=)25 b Fj(\032)1419 1612 y Fi(n)1486 1598 y Fn(+)20 b Fj(O)s Fn(\()p Fj(")1726 1565 y Fi(n)p Fh(+1)1864 1598 y Fn(\))p Fk(.)33 b(De\014ning)637 1832 y Fj(\032)684 1794 y Fe(0)684 1854 y Fi(n)756 1832 y Fn(=)862 1770 y Fj(d)909 1784 y Fi(n;)p Fh(2)p 862 1811 150 4 v 890 1894 a Fj(d)937 1908 y Fi(n)1021 1832 y Fn(\()1152 1770 y(1)p 1066 1811 218 4 v 1066 1894 a Fj(h)p Fn(\()p Fj(\032)1200 1908 y Fi(n)1248 1894 y Fn(\))1314 1832 y Fl(\000)1436 1770 y Fn(1)p 1415 1811 88 4 v 1415 1894 a Fj(a)1463 1868 y Fh(3)1512 1832 y Fn(\))g Fj(;)198 b(~)-42 b(r)1847 1846 y Fi(n)1919 1832 y Fn(=)20 b Fj(~)-40 b(a)2063 1846 y Fh(2)2123 1832 y Fn(+)20 b Fj(\032)2261 1846 y Fi(n)2298 1808 y Fj(~)2308 1832 y(b)2347 1846 y Fh(2)2419 1832 y Fj(;)198 b(~)-42 b(v)2689 1846 y Fi(n)2762 1832 y Fn(=)19 b Fj(~)-40 b(a)2905 1794 y Fe(0)2905 1854 y Fh(2)2965 1832 y Fn(+)20 b Fj(\032)3103 1794 y Fe(0)3103 1854 y Fi(n)3140 1808 y Fj(~)3150 1832 y(b)3189 1846 y Fh(2)3249 1832 y Fn(+)g Fj(\032)3387 1846 y Fi(n)3423 1808 y Fj(~)3434 1832 y(b)3473 1794 y Fe(0)3473 1854 y Fi(n)212 2071 y Fk(\(wher)-5 b(e)38 b Fj(h)f Fk(is)f(given)g(by)h(\(B.63\)\),)g(the)g (Keplerian)h(solution)g(of)f(the)g(se)-5 b(c)g(ond)38 b(in)e(\(2.10\))i(with)g(initial)f(data)209 2184 y Fj(~)-42 b(r)s Fn(\()p Fj(t)324 2198 y Fh(2)363 2184 y Fn(\))26 b(=)c Fj(~)-42 b(r)561 2198 y Fi(n)608 2184 y Fk(,)29 b Fj(~)-42 b(r)744 2151 y Fe(0)768 2184 y Fn(\()p Fj(t)836 2198 y Fh(2)875 2184 y Fn(\))26 b(=)21 b Fj(~)-41 b(v)1076 2198 y Fi(n)1155 2184 y Fk(de\014nes)33 b(a)g(c)-5 b(onic)33 b(se)-5 b(ction)34 b Fl(C)2126 2198 y Fi(n)2205 2184 y Fk(such)f(that)h Fl(C)c Fn(=)25 b Fl(C)2820 2198 y Fi(n)2887 2184 y Fn(+)20 b Fj(O)s Fn(\()p Fj(")3127 2151 y Fi(n)p Fh(+1)3265 2184 y Fn(\))p Fk(.)212 2383 y Fn(W)-8 b(e)32 b(omit)e(the)g(details)g(of)g(the)h(pro)s(of,)f(whic)m(h)f (mimic)m(k)g(that)i(of)g(Gauss)f(Algorithm.)212 2624 y Fg(B.1)112 b(Computation)36 b(of)i(the)f(elemen)m(ts)g(giv)m(en)g (the)g(p)s(osition)f(and)j(the)e(v)m(elo)s(cit)m(y)212 2796 y Fn(In)21 b(this)g(section)h(w)m(e)h(discuss)d(ho)m(w)i(to)h (\014nd)d(the)j(elemen)m(ts)f(asso)s(ciated)g(to)h(the)f(conic)g (describing)e(a)i(Keplerian)212 2909 y(orbit)30 b(with)f(initial)e(p)s (osition)f Fj(~)-42 b(r)1292 2923 y Fh(0)1361 2909 y Fn(and)30 b(v)m(elo)s(cit)m(y)e Fj(~)-42 b(v)1918 2923 y Fh(0)1958 2909 y Fn(.)30 b(W)-8 b(e)32 b(will)27 b(assume)k(that)1725 3099 y Fj(~)-56 b(m)1794 3113 y Fh(0)1859 3099 y Fl(\021)22 b Fj(~)-42 b(r)1996 3113 y Fh(0)2056 3099 y Fl(^)16 b Fj(~)-42 b(v)2180 3113 y Fh(0)2245 3099 y Fl(6)p Fn(=)2334 3080 y Fj(~)2341 3099 y Fn(0)31 b 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4538 y(Let)27 b Fj(t)f Fl(!)f Fj(\022)s Fn(\()p Fj(t)p Fn(\))h(b)s(e)g(the)h(ev)m(olution)g(describing)d(the)j(Keplerian)e (motion)i(of)g(a)g(p)s(oin)m(t)f Fj(P)40 b Fn(on)26 b Fj(C)33 b Fn(with)26 b(constan)m(t)212 4650 y(areal)31 b(v)m(elo)s(cit)m(y)f Fj(A=)p Fn(2)i(\()p Fj(A)26 b Fn(=)f Fj(p)1231 4617 y Fh(1)p Fi(=)p Fh(2)1366 4650 y Fn(=)g Fj(r)1506 4617 y Fh(2)1562 4626 y Fn(_)1545 4650 y Fj(\022)r Fn(\),)31 b(suc)m(h)f(that)1222 4880 y(_)1205 4903 y Fj(\022)r Fn(\()p Fj(t)p Fn(\))25 b(=)1500 4842 y Fj(p)1546 4809 y Fh(1)p Fi(=)p Fh(2)p 1484 4882 187 4 v 1484 4966 a Fj(r)1528 4940 y Fh(2)1567 4966 y Fn(\()p Fj(t)p Fn(\))1706 4903 y(=)g Fj(p)1848 4866 y Fe(\000)p Fh(3)p Fi(=)p Fh(2)2033 4903 y Fl(\001)20 b Fn([1)h(+)f Fj(e)15 b Fn(cos)i(\()p Fj(\022)s Fn(\()p Fj(t)p Fn(\))j Fl(\000)g Fj(g)s Fn(\))q(])2857 4866 y Fh(2)2927 4903 y Fj(:)741 b Fn(\(B.72\))212 5164 y(The)30 b(comp)s(onen)m(ts)g(along)e Fj(~)-42 b(n)30 b Fn(and)1413 5140 y Fj(~)1404 5164 y(n)1459 5137 y Fe(0)1512 5164 y Fn(of)g(the)h(radius)d(v)m(ector)h Fj(~)-42 b(r)s Fn(\()p Fj(t)p Fn(\))31 b(at)g(time)f Fj(t)g Fn(are)h(giv)m(en)f(b)m(y) 1573 5354 y Fj(~)-42 b(r)s Fn(\()p Fj(t)p Fn(\))20 b Fl(\001)e Fj(~)-42 b(n)82 b Fn(=)h Fj(r)s Fn(\()p Fj(t)p Fn(\))15 b(cos)h Fj(\022)s Fn(\()p Fj(t)p Fn(\))1550 5492 y Fj(~)-42 b(r)r Fn(\()p Fj(t)p Fn(\))21 b Fl(\001)d Fj(~)-42 b(n)1821 5454 y Fe(0)1926 5492 y Fn(=)83 b Fj(r)s Fn(\()p Fj(t)p Fn(\))15 b(sin)f Fj(\022)s Fn(\()p Fj(t)p Fn(\))30 b Fj(;)2033 5964 y Fn(30)p eop %%Page: 31 31 31 30 bop 212 386 a Fn(where)42 b Fj(r)s Fn(\()p Fj(t)p Fn(\))j(=)g Fj(r)s Fn(\()p Fj(\022)s Fn(\()p Fj(t)p Fn(\)\).)e(In)e (order)h(to)h(\014nd)e(the)h(comp)s(onen)m(ts)h(of)f(the)h(v)m(elo)s (cit)m(y)c Fj(~)-41 b(v)s Fn(\()p Fj(t)p Fn(\))43 b(along)f(the)h(same) 212 499 y(directions,)29 b(w)m(e)i(tak)m(e)h(the)f(deriv)-5 b(ativ)m(es)29 b(of)i(the)g(previous)d(equations)i(with)g(resp)s(ect)g (to)h(time:)1232 704 y Fj(~)-42 b(v)t Fn(\()p Fj(t)p Fn(\))21 b Fl(\001)d Fj(~)-43 b(n)83 b Fn(=)97 b(_)-40 b Fj(r)s Fn(\()p Fj(t)p Fn(\))15 b(cos)h Fj(\022)s Fn(\()p Fj(t)p Fn(\))k Fl(\000)g Fj(r)s Fn(\()p Fj(t)p Fn(\))15 b(sin)f Fj(\022)s Fn(\()p Fj(t)p Fn(\))2758 680 y(_)2740 704 y Fj(\022)r Fn(\()p Fj(t)p Fn(\))1209 841 y Fj(~)-42 b(v)t Fn(\()p Fj(t)p Fn(\))20 b Fl(\001)e Fj(~)-42 b(n)1484 804 y Fe(0)1590 841 y Fn(=)97 b(_)-40 b Fj(r)s Fn(\()p Fj(t)p Fn(\))15 b(sin)f Fj(\022)s Fn(\()p Fj(t)p Fn(\))20 b(+)g Fj(r)s Fn(\()p Fj(t)p Fn(\))15 b(cos)h Fj(\022)s Fn(\()p Fj(t)p Fn(\))2758 817 y(_)2740 841 y Fj(\022)r Fn(\()p Fj(t)p Fn(\))31 b(;)749 b(\(B.73\))212 1046 y(moreo)m(v)m(er,) 32 b(from)e(\(B.71\))j(one)d(has)991 1298 y(_)-40 b Fj(r)s Fn(\()p Fj(t)p Fn(\))26 b(=)1345 1236 y Fj(p)k(e)15 b Fn(sin)f(\()p Fj(\022)s Fn(\()p Fj(t)p Fn(\))20 b Fl(\000)g Fj(g)s Fn(\))p 1255 1277 819 4 v 1255 1360 a([1)g(+)g Fj(e)15 b Fn(cos)i(\()p Fj(\022)s Fn(\()p Fj(t)p Fn(\))j Fl(\000)g Fj(g)s Fn(\))q(])2033 1334 y Fh(2)2100 1274 y Fn(_)2083 1298 y Fj(\022)r Fn(\()p Fj(t)p Fn(\))26 b(=)f Fj(p)2399 1260 y Fe(\000)p Fh(1)p Fi(=)p Fh(2)2563 1298 y Fj(e)15 b Fn(sin)f(\()p Fj(\022)s Fn(\()p Fj(t)p Fn(\))21 b Fl(\000)f Fj(g)s Fn(\))31 b Fj(:)513 b Fn(\(B.74\))212 1551 y(Casting)25 b(together)i(\(B.72\),)h(\(B.73\))g(and)d(\(B.74\),)j (w)m(e)e(obtain)f(\(omitting)g(the)h(explicit)e(dep)s(endence)g(on)h Fj(t)p Fn(\):)353 1755 y Fj(~)-41 b(v)23 b Fl(\001)18 b Fj(~)-42 b(n)82 b Fn(=)h Fj(p)807 1717 y Fe(\000)p Fh(1)p Fi(=)p Fh(2)972 1755 y Fj(e)15 b Fn(sin)f(\()p Fj(\022)23 b Fl(\000)d Fj(g)s Fn(\))c(cos)g Fj(\022)22 b Fl(\000)e Fj(p)1784 1717 y Fe(\000)p Fh(1)p Fi(=)p Fh(2)1948 1755 y Fn(\(1)h(+)f Fj(e)15 b Fn(cos)i(\()p Fj(\022)22 b Fl(\000)e Fj(g)s Fn(\))q(\))15 b(sin)g Fj(\022)27 b Fn(=)e Fl(\000)p Fj(p)3069 1717 y Fe(\000)p Fh(1)p Fi(=)p Fh(2)3233 1755 y Fn(\(sin)15 b Fj(\022)22 b Fn(+)e Fj(e)15 b Fn(sin)f Fj(g)s Fn(\))330 1893 y Fj(~)-42 b(v)24 b Fl(\001)18 b Fj(~)-43 b(n)501 1855 y Fe(0)607 1893 y Fn(=)83 b Fj(p)807 1855 y Fe(\000)p Fh(1)p Fi(=)p Fh(2)972 1893 y Fj(e)15 b 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3413 2515 a(r)3475 2453 y Fl(\000)7 b Fn(1)24 b Fj(:)46 b Fn(\(B.75\))212 2678 y(W)-8 b(e)39 b(easily)f(obtain)f(the)h (expressions)f(of)h(the)h(in)m(tegrals)e(of)h(motion,)h(namely)e(the)h (angular)f(momen)m(tum)212 2791 y(and)30 b(the)g(energy)-8 b(,)32 b(in)d(terms)h(of)h(the)f(elemen)m(ts)h Fj(e)p Fn(,)g Fj(p)p Fn(:)717 3045 y Fl(j)m Fj(~)-42 b(r)23 b Fl(^)16 b Fj(~)-42 b(v)t Fl(j)25 b Fn(=)g Fj(p)1126 3008 y Fh(1)p Fi(=)p Fh(2)1261 3045 y Fn(=)g Fl(j)m Fj(~)-42 b(r)1423 3059 y Fh(0)1483 3045 y Fl(^)16 b Fj(~)-41 b(v)1608 3059 y Fh(0)1647 3045 y Fl(j)26 b(\021)f Fj(m)1874 3059 y Fh(0)1943 3045 y Fj(;)2176 2984 y(v)2223 2951 y Fh(2)p 2176 3024 87 4 v 2196 3108 a Fn(2)2293 3045 y Fl(\000)2393 2984 y Fn(1)p 2393 3024 46 4 v 2394 3108 a Fj(r)2474 3045 y Fn(=)g Fl(\000)2651 2984 y Fn(1)20 b Fl(\000)g Fj(e)2849 2951 y Fh(2)p 2651 3024 239 4 v 2724 3108 a Fn(2)p Fj(p)2924 3045 y Fn(=)3030 2984 y Fj(v)3077 2951 y Fh(2)3074 3007 y(0)p 3030 3024 87 4 v 3051 3108 a Fn(2)3147 3045 y 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Fj(~)-42 b(r)s Fn(\()p Fj(t)p Fn(\))26 b(=)f Fj(T)10 b(~)-42 b(r)2085 1120 y Fh(2)2144 1106 y Fn(+)20 b Fj(V)d(~)-42 b(v)2352 1120 y Fh(2)2422 1106 y Fj(;)1245 b Fn(\(C.77\))212 1310 y(where)34 b Fj(T)48 b Fn(and)34 b Fj(V)55 b Fn(dep)s(end)33 b(only)h(on)g Fj(r)1564 1324 y Fh(2)1604 1310 y Fj(;)15 b(v)1688 1324 y Fh(2)1728 1310 y Fj(;)g(s)1811 1324 y Fh(2)1850 1310 y Fj(;)g(t)24 b Fl(\000)f Fj(t)2074 1324 y Fh(2)2147 1310 y Fn(as)35 b(in)f(\(2.17\).)j(Applying)c(\(C.77\))j (to)f(the)g(p)s(osition)212 1423 y(v)m(ectors)29 b Fj(~)-42 b(r)562 1437 y Fh(1)601 1423 y Fn(,)28 b Fj(~)-42 b(r)698 1437 y Fh(3)737 1423 y Fn(,)31 b(relativ)m(e)f(to)i(the)e(\014rst)g (and)g(the)g(third)f(observ)-5 b(ations,)30 b(w)m(e)h(obtain)e (\(2.18\).)212 1656 y(Denote)47 b(b)m(y)56 b Fj(~)-55 b(m)45 b Fn(the)h(constan)m(t)h(v)m(ector)e Fj(~)-43 b(r)33 b Fl(^)27 b Fj(~)-42 b(v)49 b Fn(\(whose)d(mo)s(dulus)d (coincides)i(with)f(the)i(areal)g(v)m(elo)s(cit)m(y)212 1712 y Fl(p)p 288 1712 46 4 v 57 x Fj(p)p 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b(\(C.78\))h(it)e(follo)m(ws)f(that)i (the)g(the)f(ratios)h Fj(\021)1975 3517 y Fi(pq)2079 3503 y Fn(de\014ned)e(in)g(\(A.36\))j(are)f(related)f(to)h Fj(V)3402 3517 y Fi(i)3461 3503 y Fn(through:)1187 3691 y(1)p 1150 3732 120 4 v 1150 3815 a Fj(\021)1195 3829 y Fh(12)1362 3753 y Fn(=)1534 3691 y Fj(V)1587 3705 y Fh(1)p 1526 3732 108 4 v 1526 3815 a Fj(t)1559 3829 y Fh(12)1669 3753 y Fn(=)25 b(1)c Fl(\000)1973 3691 y Fn(1)p 1931 3732 129 4 v 1931 3816 a(6)p Fj(r)2020 3784 y Fh(3)2017 3840 y(2)2070 3753 y Fj(t)2103 3715 y Fh(2)2103 3775 y(12)2198 3753 y Fn(+)e Fl(\001)c(\001)g(\001)1187 3936 y Fn(1)p 1150 3976 120 4 v 1150 4060 a Fj(\021)1195 4074 y Fh(23)1362 3997 y Fn(=)1534 3936 y Fj(V)1587 3950 y Fh(3)p 1526 3976 108 4 v 1526 4060 a Fj(t)1559 4074 y Fh(23)1669 3997 y Fn(=)25 b(1)c Fl(\000)1973 3936 y Fn(1)p 1931 3976 129 4 v 1931 4060 a(6)p Fj(r)2020 4029 y Fh(3)2017 4085 y(2)2070 3997 y Fj(t)2103 3960 y Fh(2)2103 4020 y(23)2198 3997 y Fn(+)e Fl(\001)c(\001)g(\001)1187 4230 y Fn(1)p 1150 4271 120 4 v 1150 4354 a Fj(\021)1195 4368 y Fh(13)1362 4292 y Fn(=)1534 4230 y Fj(V)1587 4244 y Fh(2)p 1526 4271 108 4 v 1526 4354 a Fj(t)1559 4368 y Fh(13)1669 4292 y Fn(=)1775 4230 y Fj(T)1828 4244 y Fh(1)1867 4230 y Fj(V)1920 4244 y Fh(3)1980 4230 y Fn(+)20 b Fj(T)2124 4244 y Fh(3)2164 4230 y Fj(V)2217 4244 y Fh(1)p 1775 4271 482 4 v 1962 4354 a Fj(t)1995 4368 y Fh(13)2291 4292 y Fn(=)25 b(1)c Fl(\000)2595 4230 y Fn(1)p 2554 4271 129 4 v 2554 4355 a(6)p Fj(r)2643 4324 y Fh(3)2640 4380 y(2)2692 4292 y Fj(t)2725 4254 y Fh(2)2725 4314 y(13)2820 4292 y Fn(+)f Fl(\001)15 b(\001)g(\001)212 4547 y Fn(Multiplying)37 b(the)j(\014rst)f(equation)g(in)g(\(2.18\))j (b)m(y)e Fj(V)2037 4561 y Fh(3)2076 4547 y Fn(,)g(the)g(second)g(b)m(y) g Fj(V)2799 4561 y Fh(1)2878 4547 y Fn(and)f(taking)h(their)f(sum,)g (one)212 4660 y(obtains)32 b(\(2.19\),)k(whic)m(h)31 b(expresses)i(the)g(fact)g(that)h(the)f(motion)f(tak)m(es)j(place)d(on) h(a)g(plane,)f(as)i(giv)m(en)e(also)212 4773 y(b)m(y)h(\(2.1\).)i (Therefore,)e(de\014ning)e Fj(\032)1419 4788 y Fi(k)1495 4773 y Fn(as)i(in)f(\(A.35\))j(and)d(computing)g(the)h(v)m(ector)i(pro) s(duct)d(of)h(the)g(\014rst)f(of)212 4886 y(\(2.19\))38 b(with)30 b Fj(~)-40 b(c)732 4900 y Fh(1)772 4886 y Fn(,)31 b Fj(~)-40 b(c)872 4900 y Fh(2)911 4886 y Fn(,)31 b Fj(~)-40 b(c)1011 4900 y Fh(3)1087 4886 y Fn(\(as)36 b(de\014ned)f(in)f (\(2.4\)\),)39 b(w)m(e)d(obtain)f(the)h(analogous)g(of)g(\(2.9\),)i (that)f(w)m(e)f(rewrite)212 4999 y(after)d(some)g(manipulation)c(as)k (\(2.20\).)i(Moreo)m(v)m(er,)g(m)m(ultiplying)28 b(the)33 b(\014rst)f(equation)g(in)f(\(2.18\))k(b)m(y)d Fl(\000)p Fj(T)3880 5013 y Fh(3)3919 4999 y Fn(,)212 5112 y(the)h(second)g(b)m(y) f Fj(T)848 5126 y Fh(1)920 5112 y Fn(and)g(taking)h(their)e(sum,)h(w)m (e)i(obtain)e(the)g(expression)g(for)d Fj(~)-42 b(v)3027 5126 y Fh(2)3099 5112 y Fn(giv)m(en)33 b(in)e(\(2.19\).)k(Since)212 5225 y(the)h(motion)f(is)f(completely)h(determined)f(b)m(y)e Fj(~)-42 b(r)1897 5239 y Fh(2)1972 5225 y Fn(and)31 b Fj(~)-42 b(v)2197 5239 y Fh(2)2237 5225 y Fn(,)35 b(w)m(e)h(need)f(an)g (appro)m(ximation)g(for)g Fj(T)3593 5239 y Fi(i)3656 5225 y Fn(and)g Fj(V)3891 5239 y Fi(i)3919 5225 y Fn(.)212 5338 y(Lo)s(oking)f(at)i(the)f(\014rst)f(of)h(\(2.20\),)i(one)e (\014nds)e(that)j(an)e(appro)m(ximation)g Fj(\032)2818 5305 y Fh(0)2818 5361 y(2)2892 5338 y Fn(of)h Fj(\032)3047 5352 y Fh(2)3087 5338 y Fn(,)g(sa)m(y)g Fj(\032)3355 5352 y Fh(2)3427 5338 y Fn(=)e Fj(\032)3578 5305 y Fh(0)3578 5361 y(2)3640 5338 y Fn(+)23 b Fj(O)s Fn(\()p Fj(")p Fn(\),)212 5451 y(can)31 b(b)s(e)g(calculated)g(as)g(a)g(solution)f(of) h(the)g(equation)g(\(2.20\),)j(whenev)m(er)d Fj(V)2842 5465 y Fh(3)2881 5451 y Fj(=V)2979 5465 y Fh(2)3019 5451 y Fn(,)g Fj(V)3128 5465 y Fh(1)3168 5451 y Fj(=V)3266 5465 y Fh(2)3337 5451 y Fn(are)g(replaced)f(b)m(y)2033 5964 y(32)p eop %%Page: 33 33 33 32 bop 212 386 a Fn(an)m(y)32 b(v)-5 b(alue)31 b(di\013eren)m(t)g(b) m(y)h(a)g(factor)h Fj(O)s Fn(\()p Fj(")1597 353 y Fh(2)1637 386 y Fn(\).)f(More)h(generally)-8 b(,)31 b(using)f(\(2.17\))k(w)m(e)f (write)d Fj(T)3296 400 y Fi(i)3325 386 y Fn(,)i Fj(V)3435 400 y Fi(i)3494 386 y Fn(in)f(the)h(form)212 499 y(\(2.21\).)h(Finally) -8 b(,)29 b(the)i(\014rst)e(equation)h(in)f(\(2.20\))k(is)d(giv)m(en)g (b)m(y)1464 719 y Fj(\032)1511 733 y Fh(2)1576 719 y Fn(=)25 b Fj(M)10 b Fn(\()p Fj(x;)15 b(y)s(;)g(\032)2032 733 y Fh(2)2072 719 y Fn(\))26 b Fl(\021)f Fj(x)20 b Fn(+)2483 658 y Fj(y)p 2402 698 210 4 v 2402 782 a(h)p Fn(\()p Fj(\032)2536 796 y Fh(2)2576 782 y Fn(\))2652 719 y Fj(;)1015 b Fn(\(C.79\))212 964 y(where)377 1187 y Fj(x)25 b Fn(=)g(\()-6 b Fj(~)-39 b(a)633 1201 y Fh(1)693 1187 y Fl(\000)15 b Fj(~)-40 b(a)832 1201 y Fh(2)871 1187 y Fn(\))21 b Fl(\001)15 b Fj(~)-40 b(c)1011 1201 y Fh(2)1061 1126 y Fj(t)1094 1140 y Fh(23)1169 1126 y Fj(k)1216 1140 y Fh(3)p 1061 1166 195 4 v 1061 1249 a Fj(t)1094 1263 y Fh(13)1169 1249 y Fj(k)1216 1263 y Fh(2)1286 1187 y Fn(+)19 b(\()-6 b Fj(~)-39 b(a)1459 1201 y Fh(3)1520 1187 y Fl(\000)15 b Fj(~)-41 b(a)1658 1201 y Fh(2)1698 1187 y Fn(\))20 b Fl(\001)c Fj(~)-40 b(c)1838 1201 y Fh(2)1888 1126 y Fj(t)1921 1140 y Fh(12)1995 1126 y Fj(k)2042 1140 y Fh(1)p 1888 1166 V 1888 1249 a Fj(t)1921 1263 y Fh(13)1995 1249 y Fj(k)2042 1263 y Fh(2)2122 1187 y Fj(;)197 b(y)29 b Fn(=)2518 1126 y Fj(~)-40 b(a)2571 1140 y Fh(2)2631 1126 y Fl(\001)16 b Fj(~)-40 b(c)2716 1140 y Fh(2)2786 1126 y Fj(t)2819 1140 y Fh(12)2893 1126 y Fj(t)2926 1140 y Fh(23)p 2523 1166 478 4 v 2739 1249 a Fn(2)3031 1187 y Fl(\001)3086 1126 y Fj(t)3119 1140 y Fh(12)3194 1126 y Fj(h)3246 1140 y Fh(1)3286 1126 y Fj(k)3333 1140 y Fh(3)3393 1126 y Fn(+)20 b Fj(t)3517 1140 y Fh(23)3591 1126 y Fj(h)3643 1140 y Fh(3)3683 1126 y Fj(k)3730 1140 y Fh(1)p 3086 1166 684 4 v 3331 1249 a Fj(t)3364 1263 y Fh(13)3438 1249 y Fj(k)3485 1263 y Fh(2)212 1449 y Fn(and)29 b(where)f(the)h(function)f Fj(\032)d Fl(!)g Fj(h)p Fn(\()p Fj(\032)p Fn(\))30 b(is)f(de\014ned)e (as)j(in)d(\(A.39\),)32 b(i.e.)d Fj(h)p Fn(\()p Fj(\032)p Fn(\))d(=)f(\()p Fj(a)2992 1416 y Fh(2)2992 1472 y(2)3049 1449 y Fn(+)18 b(2)-6 b Fj(~)-39 b(a)3231 1463 y Fh(2)3260 1425 y Fj(~)3271 1449 y(b)3310 1463 y Fh(2)3349 1449 y Fj(\032)18 b Fn(+)f Fj(\032)3549 1416 y Fh(2)3588 1449 y Fn(\))3623 1416 y Fh(3)p Fi(=)p Fh(2)3734 1449 y Fn(.)29 b(The)212 1561 y(ab)s(o)m(v)m(e)j(discussion)27 b(leads)j(to)h(the)g (follo)m(wing)212 1771 y Fo(Prop)s(osition)36 b(C.1)46 b Fk(L)-5 b(et)32 b Fl(C)37 b Fk(b)-5 b(e)31 b(a)i(c)-5 b(onic)32 b(se)-5 b(ction)33 b(on)f(which)h(a)f(Keplerian)h(motion)g Fj(t)25 b Fl(!)d Fj(~)-42 b(r)s Fn(\()p Fj(t)p Fn(\))32 b Fk(takes)g(plac)-5 b(e;)212 1884 y(let)28 b Fj(~)-42 b(r)s Fn(\()p Fj(t)450 1899 y Fi(k)492 1884 y Fn(\))26 b(=)c Fj(~)-42 b(r)690 1899 y Fi(k)758 1884 y Fl(\021)19 b Fj(~)-39 b(a)902 1899 y Fi(k)961 1884 y Fn(+)15 b Fj(\032)1094 1899 y Fi(k)1127 1860 y Fj(~)1137 1884 y(b)1176 1899 y Fi(k)1249 1884 y Fk(for)32 b(some)f Fj(\032)1670 1899 y Fi(k)1713 1884 y Fk(,)f(with)i Fj(k)c Fn(=)d(1)p Fj(;)15 b Fn(2)p Fj(;)g Fn(3)33 b Fk(and)f(with)2746 1860 y Fj(~)2756 1884 y(b)2795 1898 y Fh(1)2851 1884 y Fl(^)2918 1860 y Fj(~)2927 1884 y(b)2966 1898 y Fh(2)3022 1884 y Fl(\001)3053 1860 y Fj(~)3063 1884 y(b)3102 1898 y Fh(3)3167 1884 y Fl(6)p Fn(=)25 b(0)p Fk(.)31 b(L)-5 b(et)31 b Fj(T)3575 1898 y Fh(1)3614 1884 y Fk(,)g Fj(T)3726 1898 y Fh(3)3766 1884 y Fk(,)f Fj(V)3877 1898 y Fh(1)3917 1884 y Fk(,)212 1997 y Fj(V)265 2011 y Fh(2)305 1997 y Fk(,)35 b Fj(V)421 2011 y Fh(3)495 1997 y Fk(b)-5 b(e)35 b(de\014ne)-5 b(d)37 b(as)f(in)f(\(2.17\).)i(Then)e Fj(\032)1743 2011 y Fh(1)1783 1997 y Fk(,)g Fj(\032)1893 2011 y Fh(3)1967 1997 y Fk(ar)-5 b(e)36 b(r)-5 b(elate)g(d)38 b(to)e Fj(\032)2578 2011 y Fh(2)2652 1997 y Fk(via)g(\(2.20\),)g(the)g(velo)-5 b(city)36 b(ve)-5 b(ctor)32 b Fj(~)-41 b(v)3905 2011 y Fh(2)212 2110 y Fk(\(in)35 b Fj(t)30 b Fn(=)g Fj(t)560 2124 y Fh(2)599 2110 y Fk(\))35 b(is)h(r)-5 b(elate)g(d)37 b(to)c Fj(~)-42 b(r)1219 2124 y Fh(1)1258 2110 y Fk(,)32 b Fj(~)-42 b(r)1362 2124 y Fh(3)1437 2110 y Fk(by)35 b(me)-5 b(ans)36 b(of)f(\(2.19\),)i(while)f Fj(\032)2535 2124 y Fh(2)2610 2110 y Fk(is)f(a)g(solution)i(of)e(\(C.79\),)h(wher)-5 b(e)37 b Fj(k)3877 2124 y Fh(1)3917 2110 y Fk(,)212 2223 y Fj(k)259 2237 y Fh(2)299 2223 y Fk(,)32 b Fj(k)406 2237 y Fh(3)446 2223 y Fk(,)g Fj(h)558 2237 y Fh(1)598 2223 y Fk(,)h Fj(h)711 2237 y Fh(3)783 2223 y Fk(have)g(b)-5 b(e)g(en)33 b(de\014ne)-5 b(d)34 b(as)f(in)f(\(2.21\))212 2432 y Fn(The)e(algorithm)f(in)m(tro)s(duced)g(b)m(y)h(Mossotti)i(can)e (no)m(w)h(b)s(e)e(stated)j(as)e(follo)m(ws:)212 2617 y Fo(Theorem)k(C.1)45 b Fk(\(Mossotti)k(A)n(lgorithm\))f(Using)f(the)g (notations)i(of)f(Pr)-5 b(op)g(osition)50 b(C.1,)d(supp)-5 b(ose)49 b(that)257 2694 y Fi(@)p 222 2709 112 4 v 222 2761 a(@)t(\032)299 2770 y Ff(2)344 2730 y Fj(M)10 b Fn(\()p Fj(x;)15 b(y)s(;)g(\032)704 2744 y Fh(2)744 2730 y Fn(\))26 b Fl(6)p Fn(=)f(1)33 b Fk(and)g(let)g Fj(k)1330 2744 y Fi(i;n)1421 2730 y Fk(,)g Fj(h)1534 2744 y Fh(1)p Fi(;n)1636 2730 y Fk(,)f Fj(h)1748 2744 y Fh(3)p Fi(;n)1883 2730 y Fk(satisfy)1078 2951 y Fj(k)1125 2965 y Fi(i)1237 2951 y Fn(=)82 b Fj(k)1437 2965 y Fi(i;n)1548 2951 y Fn(+)20 b Fj(O)s Fn(\()p Fj(")1788 2914 y Fi(n)p Fh(+2)1926 2951 y Fn(\))186 b(\()p Fj(i)26 b Fn(=)f(1)p Fj(;)15 b Fn(2)p Fj(;)g Fn(3\))35 b Fj(;)1062 3089 y(h)1114 3103 y Fh(1)1237 3089 y Fn(=)82 b Fj(h)1442 3103 y Fh(2)p Fi(;n)1565 3089 y Fn(+)20 b Fj(O)s Fn(\()p Fj(")1805 3051 y Fi(n)p Fh(+1)1942 3089 y Fn(\))33 b Fj(;)202 b(h)2289 3103 y Fh(3)2354 3089 y Fn(=)25 b Fj(h)2502 3103 y Fh(3)p Fi(;n)2624 3089 y Fn(+)20 b Fj(O)s Fn(\()p Fj(")2864 3051 y Fi(n)p Fh(+1)3002 3089 y Fn(\))33 b Fj(:)212 3290 y Fk(Then,)g(ther)-5 b(e)33 b(exist)g(a)g(neighb)-5 b(orho)g(o)g(d)36 b Fj(U)43 b Fk(of)33 b Fn(\()p Fj(x;)15 b(y)s Fn(\))33 b Fk(and)h(a)f(neighb)-5 b(orho)g(o)g(d)36 b Fj(V)53 b Fk(of)32 b Fj(\032)3044 3304 y Fh(2)3116 3290 y Fk(such)h(that,)h (de\014ning)1077 3534 y Fj(x)1129 3548 y Fi(n)1259 3534 y Fn(=)83 b(\()-6 b Fj(~)-39 b(a)1496 3548 y Fh(1)1556 3534 y Fl(\000)15 b Fj(~)-40 b(a)1695 3548 y Fh(2)1734 3534 y Fn(\))21 b Fl(\001)15 b Fj(~)-40 b(c)1874 3548 y Fh(2)1924 3473 y Fj(t)1957 3487 y Fh(23)2031 3473 y Fj(k)2078 3487 y Fh(3)p Fi(;n)p 1924 3513 257 4 v 1924 3596 a Fj(t)1957 3610 y Fh(13)2031 3596 y Fj(k)2078 3610 y Fh(2)p Fi(;n)2211 3534 y Fn(+)20 b(\()-6 b Fj(~)-39 b(a)2385 3548 y Fh(3)2445 3534 y Fl(\000)15 b Fj(~)-40 b(a)2584 3548 y Fh(2)2623 3534 y Fn(\))21 b Fl(\001)15 b Fj(~)-40 b(c)2763 3548 y Fh(2)2813 3473 y Fj(t)2846 3487 y Fh(12)2920 3473 y Fj(k)2967 3487 y Fh(1)p Fi(;n)p 2813 3513 V 2813 3596 a Fj(t)2846 3610 y Fh(13)2920 3596 y Fj(k)2967 3610 y Fh(2)p Fi(;n)1084 3783 y Fj(y)1129 3797 y Fi(n)1259 3783 y Fn(=)1417 3721 y Fj(~)h(a)1471 3735 y Fh(2)1530 3721 y Fl(\001)16 b Fj(~)-40 b(c)1615 3735 y Fh(2)1687 3721 y Fj(t)1720 3735 y Fh(12)1795 3721 y Fj(t)1828 3735 y Fh(23)p 1423 3762 480 4 v 1640 3845 a Fn(2)1932 3783 y Fl(\001)1988 3721 y Fj(t)2021 3735 y Fh(12)2095 3721 y Fj(h)2147 3735 y Fh(1)p Fi(;n)2250 3721 y Fj(k)2297 3735 y Fh(3)p Fi(;n)2419 3721 y Fn(+)20 b Fj(t)2543 3735 y Fh(23)2617 3721 y Fj(h)2669 3735 y Fh(3)p Fi(;n)2772 3721 y Fj(k)2819 3735 y Fh(1)p Fi(;n)p 1988 3762 934 4 v 2326 3845 a Fj(t)2359 3859 y Fh(13)2433 3845 y Fj(k)2480 3859 y Fh(2)p Fi(;n)212 4044 y Fk(with)40 b Fn(\()p Fj(x)503 4058 y Fi(n)550 4044 y Fj(;)15 b(y)635 4058 y Fi(n)682 4044 y Fn(\))37 b Fl(2)f Fj(U)10 b Fk(,)39 b(ther)-5 b(e)40 b(exists)f Fj(\032)1525 4058 y Fh(2)p Fi(;n)1663 4044 y Fl(2)e Fj(V)59 b Fk(satisfying)39 b Fj(\032)2330 4058 y Fh(2)2406 4044 y Fn(=)e Fj(\032)2561 4058 y Fh(2)p Fi(;n)2687 4044 y Fn(+)25 b Fj(O)s Fn(\()p Fj(")2932 4011 y Fi(n)p Fh(+1)3070 4044 y Fn(\))p Fk(.)39 b(Denoting)f(by)e Fj(~)-42 b(r)3735 4058 y Fh(2)p Fi(;n)3874 4044 y Fn(=)206 4171 y Fj(~)j(a)260 4185 y Fh(2)320 4171 y Fn(+)20 b Fj(\032)458 4185 y Fh(2)p Fi(;n)549 4147 y Fj(~)560 4171 y(b)599 4185 y Fh(2)638 4171 y Fk(,)29 b Fj(~)-42 b(v)742 4185 y Fh(2)p Fi(;n)870 4171 y Fn(=)976 4124 y Fi(T)1017 4133 y Ff(1)p Fa(;n)p 976 4150 133 4 v 976 4202 a Fi(V)1017 4211 y Ff(2)p Fa(;n)1116 4171 y Fj(~)f(r)1159 4185 y Fh(3)p Fi(;n)1281 4171 y Fl(\000)1382 4124 y Fi(T)1423 4133 y Ff(3)p Fa(;n)p 1382 4150 V 1382 4202 a Fi(V)1423 4211 y Ff(2)p Fa(;n)1522 4171 y Fj(~)h(r)1566 4185 y Fh(1)p Fi(;n)1701 4171 y Fk(with)251 4455 y Fj(V)304 4469 y Fh(1)p Fi(;n)489 4455 y Fn(=)82 b Fj(t)675 4469 y Fh(12)750 4455 y Fj(k)797 4469 y Fh(1)p Fi(;n)932 4455 y Fj(;)201 b(V)1211 4469 y Fh(3)p Fi(;n)1338 4455 y Fn(=)25 b Fj(t)1467 4469 y Fh(23)1542 4455 y Fj(k)1589 4469 y Fh(3)p Fi(;n)1723 4455 y Fj(;)202 b(T)2003 4469 y Fh(1)p Fi(;n)2130 4455 y Fn(=)25 b(1)20 b Fl(\000)2470 4393 y Fj(t)2503 4360 y Fh(2)2503 4416 y(12)p 2392 4434 263 4 v 2392 4517 a Fn(2)p Fj(h)p Fn(\()p Fj(\032)2571 4531 y Fi(n)2619 4517 y Fn(\))2665 4455 y Fj(h)2717 4469 y Fh(1)p Fi(;n)2852 4455 y Fj(;)251 4710 y(T)304 4724 y Fh(3)p Fi(;n)489 4710 y Fn(=)82 b(1)21 b Fl(\000)886 4649 y Fj(t)919 4616 y Fh(2)919 4672 y(23)p 809 4689 V 809 4773 a Fn(2)p Fj(h)p Fn(\()p Fj(\032)988 4787 y Fi(n)1036 4773 y Fn(\))1081 4710 y Fj(h)1133 4724 y Fh(3)p Fi(;n)1268 4710 y Fj(;)201 b(V)1547 4724 y Fh(2)p Fi(;n)1675 4710 y Fn(=)25 b Fj(T)1824 4724 y Fh(1)p Fi(;n)1926 4710 y Fj(V)1979 4724 y Fh(3)p Fi(;n)2101 4710 y Fn(+)20 b Fj(T)2245 4724 y Fh(3)p Fi(;n)2347 4710 y Fj(V)2400 4724 y Fh(1)p Fi(;n)2527 4710 y Fn(=)25 b Fj(t)2656 4724 y Fh(13)2730 4710 y Fj(k)2777 4724 y Fh(2)p Fi(;n)2912 4710 y Fj(;)260 4918 y(~)-42 b(r)304 4932 y Fh(1)p Fi(;n)489 4918 y Fn(=)77 b Fj(~)-40 b(a)690 4932 y Fh(1)750 4918 y Fn(+)20 b Fj(\032)888 4932 y Fh(1)p Fi(;n)980 4894 y Fj(~)990 4918 y(b)1029 4932 y Fh(1)1101 4918 y Fj(;)384 b(~)-42 b(r)1554 4932 y Fh(3)p Fi(;n)1681 4918 y Fn(=)19 b Fj(~)-39 b(a)1825 4932 y Fh(3)1885 4918 y Fn(+)20 b Fj(\032)2023 4932 y Fh(3)p Fi(;n)2114 4894 y Fj(~)2125 4918 y(b)2164 4932 y Fh(3)2236 4918 y Fj(;)257 5101 y(\032)304 5115 y Fh(1)p Fi(;n)489 5101 y Fn(=)82 b Fl(\000)-5 b Fj(~)-40 b(c)752 5115 y Fh(1)812 5101 y Fl(\001)15 b Fj(~)-39 b(a)906 5115 y Fh(1)965 5101 y Fn(+)1066 5039 y Fj(V)1119 5053 y Fh(2)p Fi(;n)p 1066 5080 155 4 v 1066 5163 a Fj(V)1119 5177 y Fh(3)p Fi(;n)1226 5101 y Fj(~)f(c)1270 5115 y Fh(1)1330 5101 y Fl(\001)15 b Fj(~)-40 b(a)1423 5115 y Fh(2)1483 5101 y Fl(\000)1584 5039 y Fj(V)1637 5053 y Fh(1)p Fi(;n)p 1584 5080 V 1584 5163 a Fj(V)1637 5177 y Fh(3)p Fi(;n)1744 5101 y Fj(~)g(c)1788 5115 y Fh(1)1848 5101 y Fl(\001)15 b Fj(~)-40 b(a)1941 5115 y Fh(3)2013 5101 y Fj(;)202 b(\032)2287 5115 y Fh(3)p Fi(;n)2414 5101 y Fn(=)25 b Fl(\000)2591 5039 y Fj(V)2644 5053 y Fh(3)p Fi(;n)p 2591 5080 V 2591 5163 a Fj(V)2644 5177 y Fh(1)p Fi(;n)2750 5101 y Fj(~)-40 b(c)2794 5115 y Fh(3)2854 5101 y Fl(\001)15 b Fj(~)-39 b(a)2948 5115 y Fh(1)3007 5101 y Fn(+)3108 5039 y Fj(V)3161 5053 y Fh(2)p Fi(;n)p 3108 5080 V 3108 5163 a Fj(V)3161 5177 y Fh(1)p Fi(;n)3268 5101 y Fj(~)f(c)3312 5115 y Fh(3)3372 5101 y Fl(\001)15 b Fj(~)-40 b(a)3465 5115 y Fh(2)3525 5101 y Fl(\000)15 b 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b(to)e(the)g(lo)m(w)m(est)h (degree)f(of)g(appro)m(ximation)f(in)f(the)i(time)f(in)m(terv)-5 b(al,)28 b(t)m(w)m(o)i(of)f(suc)m(h)g(equations)f(are)212 1380 y(equal,)h(yielding)d(an)j(underdetermined)d(system.)k(In)e(order) g(to)i(solv)m(e)f(this)f(problem,)g(one)h(could)f(compute)212 1493 y(higher)d(orders)g(of)h(appro)m(ximation;)f(ho)m(w)m(ev)m(er,)j (b)s(eing)c(the)i(calculations)f(to)s(o)i(complicated,)f(Mossotti)h (pro-)212 1606 y(p)s(oses)e(to)i(use)e(a)h(fourth)f(observ)-5 b(ation,)26 b(whic)m(h)e(pro)m(vides)h(t)m(w)m(o)i(more)f(equations.)f (Indeed,)g(w)m(e)h(need)g(just)f(one)212 1718 y(more)34 b(equation)g(to)h(form)e(a)i(system)f(of)g(3)g(equations)g(in)f(the)h (3)g(unkno)m(wn)f(comp)s(onen)m(ts)h(of)g(the)g(angular)212 1831 y(momen)m(tum.)d(The)e(details)h(of)g(the)h(metho)s(d)f(are)h(the) f(follo)m(wing.)401 2057 y(W)-8 b(e)39 b(denote,)f(as)g(usual,)e(b)m(y) f Fj(~)-42 b(r)1454 2072 y Fi(k)1534 2057 y Fn(\()p Fj(k)41 b Fn(=)c(1)p Fj(;)15 b(:::;)g Fn(4\))40 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Fj(\022)2581 5287 y Fh(13)2656 5273 y Fn(\))p 1237 5314 1455 4 v 1748 5389 a Fj(~)1758 5413 y(b)1797 5427 y Fh(1)1857 5413 y Fl(^)1928 5389 y Fj(~)1938 5413 y(b)1977 5427 y Fh(3)2037 5413 y Fl(\001)15 b Fj(~)-40 b(a)2130 5427 y Fh(3)2731 5335 y Fj(:)932 b Fn(\(D.81\))2033 5964 y(34)p eop %%Page: 35 35 35 34 bop 212 386 a Fn(W)-8 b(e)29 b(no)m(w)f(use)f(the)h(orthogonalit) m(y)g(relations)1813 363 y Fj(~)1786 386 y(M)d Fl(\001)9 b Fj(~)-39 b(a)1987 401 y Fi(k)2055 386 y Fn(=)25 b(0)h(=)35 b Fj(~)-55 b(m)14 b Fl(\001)e Fj(~)-42 b(r)2493 401 y Fi(k)2561 386 y Fn(=)36 b Fj(~)-56 b(m)15 b Fl(\001)g Fn(\()-6 b Fj(~)-39 b(a)2875 401 y Fi(k)2933 386 y Fn(+)15 b Fj(\032)3066 401 y Fi(k)3126 362 y Fj(~)3136 386 y(b)3175 401 y Fi(k)3218 386 y Fn(\))28 b(to)g(write)37 b Fj(~)-55 b(m)15 b Fl(\001)3744 362 y Fj(~)3754 386 y(b)3793 401 y Fi(k)3863 386 y Fn(as)222 499 y Fj(~)-55 b(m)20 b Fl(\001)347 475 y Fj(~)357 499 y(b)396 514 y Fi(k)464 499 y Fn(=)25 b Fl(\000)10 b Fj(~)-55 b(m)19 b Fl(\001)14 b Fj(~)-39 b(a)823 514 y Fi(k)866 499 y Fj(=\032)958 514 y Fi(k)1026 499 y Fn(=)25 b(\()1184 476 y Fj(~)1157 499 y(M)30 b Fl(\000)g Fj(~)-55 b(m)p Fn(\))20 b Fl(\001)14 b Fj(~)-39 b(a)1594 514 y Fi(k)1637 499 y Fj(=\032)1729 514 y Fi(k)1772 499 y Fn(.)30 b(Therefore)g(w)m(e)h(\014nd)d(that)j(\(D.81\))i(b)s (ecomes)d(\(2.23\),)j(\(2.24\).)212 612 y(In)h(order)g(to)i(eliminate)d (from)h(the)h(previous)f(form)m(ulae)g(the)h(dep)s(endence)f(on)g Fj(\032)3041 626 y Fh(2)3115 612 y Fn(and)h Fj(\032)3344 626 y Fh(3)3383 612 y Fn(,)g(w)m(e)g(write)f(the)212 725 y(planarit)m(y)29 b(condition)g(in)m(v)m(olving)d Fj(~)-42 b(r)1430 739 y Fh(1)1470 725 y Fn(,)27 b Fj(~)-42 b(r)1566 739 y Fh(2)1606 725 y Fn(,)27 b Fj(~)-42 b(r)1702 739 y Fh(3)1772 725 y Fn(and)24 b Fj(~)-39 b(a)1997 739 y Fh(1)2036 725 y Fn(,)25 b Fj(~)-39 b(a)2140 739 y Fh(2)2179 725 y Fn(,)25 b Fj(~)-39 b(a)2283 739 y Fh(3)2353 725 y Fn(as)983 928 y Fj(\022)1026 942 y Fh(23)1101 928 y Fn(\()-6 b Fj(~)-39 b(a)1184 942 y Fh(1)1244 928 y Fn(+)20 b Fj(\032)1382 942 y Fh(1)1441 904 y Fj(~)1451 928 y(b)1490 942 y Fh(1)1530 928 y Fn(\))g Fl(\000)g Fj(\022)1719 942 y Fh(13)1794 928 y Fn(\()-6 b Fj(~)-39 b(a)1877 942 y Fh(2)1937 928 y Fn(+)20 b Fj(\032)2075 942 y Fh(2)2134 904 y Fj(~)2144 928 y(b)2183 942 y Fh(2)2223 928 y Fn(\))g(+)g Fj(\022)2412 942 y Fh(12)2487 928 y Fn(\()-6 b Fj(~)-39 b(a)2570 942 y Fh(3)2630 928 y Fn(+)20 b Fj(\032)2768 942 y Fh(3)2827 904 y Fj(~)2837 928 y(b)2876 942 y Fh(3)2916 928 y Fn(\))25 b(=)3065 908 y Fj(~)3072 928 y Fn(0)31 b Fj(;)1533 1130 y(T)1586 1144 y Fh(23)1655 1130 y Fj(~)-39 b(a)1709 1144 y Fh(1)1769 1130 y Fl(\000)19 b Fj(T)1912 1144 y Fh(13)1982 1130 y Fj(~)-40 b(a)2035 1144 y Fh(2)2095 1130 y Fn(+)20 b Fj(T)2239 1144 y Fh(12)2308 1130 y Fj(~)-39 b(a)2362 1144 y Fh(3)2426 1130 y Fn(=)2515 1111 y Fj(~)2522 1130 y Fn(0)31 b Fj(:)212 1297 y Fn(W)-8 b(e)32 b(easily)d(\014nd)g (that)735 1499 y Fj(\022)778 1513 y Fh(13)853 1499 y Fj(\032)900 1513 y Fh(2)964 1499 y Fn(=)c Fl(\000)p Fn(\()p Fj(T)1219 1513 y Fh(12)1314 1499 y Fl(\000)20 b Fj(\022)1448 1513 y Fh(12)1523 1499 y Fn(\))25 b Fj(~)-40 b(a)1636 1513 y Fh(3)1696 1499 y Fl(\001)16 b Fj(~)-40 b(c)1781 1513 y Fh(2)1841 1499 y Fn(+)19 b(\()p Fj(T)2019 1513 y Fh(13)2115 1499 y Fl(\000)h Fj(\022)2249 1513 y Fh(13)2323 1499 y Fn(\))25 b Fj(~)-39 b(a)2437 1513 y Fh(2)2497 1499 y Fl(\001)15 b Fj(~)-40 b(c)2581 1513 y Fh(2)2641 1499 y Fl(\000)20 b Fn(\()p Fj(T)2820 1513 y Fh(23)2915 1499 y Fl(\000)g Fj(\022)3049 1513 y Fh(23)3124 1499 y Fn(\))25 b Fj(~)-40 b(a)3237 1513 y Fh(1)3297 1499 y Fl(\001)15 b Fj(~)-40 b(c)3381 1513 y Fh(2)743 1702 y Fj(\022)786 1716 y Fh(12)860 1702 y Fj(\032)907 1716 y Fh(3)972 1702 y Fn(=)25 b(\()p Fj(T)1156 1716 y Fh(12)1251 1702 y Fl(\000)20 b Fj(\022)1385 1716 y Fh(12)1460 1702 y Fn(\))25 b Fj(~)-40 b(a)1573 1716 y Fh(3)1633 1702 y Fl(\001)15 b Fj(~)-40 b(c)1717 1716 y Fh(3)1777 1702 y Fl(\000)20 b Fn(\()p Fj(T)1956 1716 y Fh(13)2052 1702 y Fl(\000)g Fj(\022)2186 1716 y Fh(13)2260 1702 y Fn(\))25 b Fj(~)-39 b(a)2374 1716 y Fh(2)2433 1702 y Fl(\001)16 b Fj(~)-40 b(c)2518 1716 y Fh(3)2578 1702 y Fn(+)20 b(\()p Fj(T)2757 1716 y Fh(23)2852 1702 y Fl(\000)g Fj(\022)2986 1716 y Fh(23)3060 1702 y Fn(\))25 b Fj(~)-39 b(a)3174 1716 y Fh(1)3234 1702 y Fl(\001)15 b Fj(~)-40 b(c)3318 1716 y Fh(3)3388 1702 y Fj(;)212 1868 y Fn(where)38 b(the)h(v)m(ectors) c Fj(~)-40 b(c)1004 1882 y Fh(1)1082 1868 y Fn(and)33 b Fj(~)-40 b(c)1306 1882 y Fh(3)1384 1868 y Fn(are)39 b(de\014ned)f(in)f(\(2.4\).)j(W)-8 b(e)40 b(next)f(substitute)e(the)i (last)f(expressions)g(in)212 1981 y(\(2.23\))33 b(and)c(\(2.24\),)k (taking,)e(for)f(simplicit)m(y)-8 b(,)28 b(only)i(the)g(\014rst)g (expression)f(for)h Fj(\032)2984 1995 y Fh(1)3024 1981 y Fn(;)g(w)m(e)h(are)g(\014nally)d(led)i(to)229 2161 y Fj(~)212 2184 y(A)280 2198 y Fh(1)403 2184 y Fn(=)546 2160 y Fj(~)556 2184 y(b)595 2198 y Fh(1)655 2184 y Fl(^)726 2160 y Fj(~)736 2184 y(b)775 2198 y Fh(3)835 2184 y Fl(\001)15 b Fj(~)-40 b(a)928 2198 y Fh(3)998 2184 y Fj(T)1051 2198 y Fh(12)1146 2160 y Fj(~)1156 2184 y(b)1195 2198 y Fh(2)1255 2184 y Fl(\000)1336 2160 y Fj(~)1346 2184 y(b)1385 2198 y Fh(1)1444 2184 y Fl(^)1515 2160 y Fj(~)1525 2184 y(b)1564 2198 y Fh(2)1624 2184 y Fl(\001)15 b Fj(~)-40 b(a)1717 2198 y Fh(2)1787 2184 y Fj(T)1840 2198 y Fh(13)1935 2160 y Fj(~)1945 2184 y(b)1984 2198 y Fh(3)2044 2184 y Fn(+)403 2388 y(+)546 2364 y Fj(~)556 2388 y(b)595 2402 y Fh(1)655 2388 y Fl(^)726 2364 y Fj(~)736 2388 y(b)775 2402 y Fh(3)835 2388 y Fl(\001)15 b Fj(~)-40 b(a)928 2402 y Fh(3)998 2388 y Fj(T)1051 2402 y Fh(12)2096 2313 y Fj(\022)2139 2327 y Fh(13)2244 2313 y Fn(\(1)21 b Fl(\000)2449 2277 y Fi(\022)2482 2286 y Ff(12)p 2445 2292 107 4 v 2445 2345 a Fi(T)2486 2354 y Ff(12)2561 2313 y Fn(\))p 1166 2367 2361 4 v 1166 2451 a Fl(\000)p Fn(\()p Fj(T)1325 2465 y Fh(12)1420 2451 y Fl(\000)f Fj(\022)1554 2465 y Fh(12)1628 2451 y Fn(\))25 b Fj(~)-39 b(a)1742 2465 y Fh(3)1802 2451 y Fl(\001)15 b Fj(~)-40 b(c)1886 2465 y Fh(2)1946 2451 y 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3447 y(With)29 b(a)g(cyclic)g(p)s(erm)m(utation) f(of)h(the)g(indexes)f(w)m(e)i(\014nd)d(another)i(v)m(ector,)i(sa)m(y) 2980 3424 y Fj(~)2963 3447 y(A)3031 3461 y Fh(2)3070 3447 y Fn(,)f(whic)m(h)d(b)s(elongs)h(to)i(the)212 3560 y(orthogonal)40 b(subspace)e(of)1204 3537 y Fj(~)1177 3560 y(M)e Fl(\000)g Fj(~)-55 b(m)p Fn(,)39 b(i.e.)h(\()1760 3537 y Fj(~)1733 3560 y(M)c Fl(\000)g Fj(~)-55 b(m)p Fn(\))26 b Fl(\001)2164 3537 y Fj(~)2147 3560 y(A)2215 3574 y Fh(2)2294 3560 y Fn(=)40 b(0;)g(in)e(particular)g(w)m(e)h(reco)m (v)m(er)i(\(2.25\).)h(W)-8 b(e)212 3672 y(remark)37 b(that)h(the)g(v)m (ectors)1230 3649 y Fj(~)1213 3672 y(A)1281 3687 y Fi(k)1362 3672 y Fn(still)d(dep)s(end)g(on)j(the)f(unkno)m(wn)f(quan)m(tities)h Fj(\022)3031 3687 y Fi(hk)3114 3672 y Fn(.)g(In)g(order)g(to)h(\014nd)d (an)212 3785 y(appro)m(ximation)d(for)h(the)1139 3762 y Fj(~)1122 3785 y(A)1190 3800 y Fi(k)1233 3785 y Fn(,)g(w)m(e)g(write) g Fj(t)1696 3799 y Fh(23)1800 3785 y Fn(=)c Fj(\033)s(t)1988 3799 y Fh(12)2063 3785 y Fn(,)k Fj(t)2154 3799 y Fh(13)2258 3785 y Fn(=)d Fj(\033)2411 3799 y Fh(1)2450 3785 y Fj(t)2483 3799 y Fh(12)2557 3785 y Fn(,)k(with)d Fj(\033)2877 3799 y Fh(1)2946 3785 y Fn(=)f(1)22 b(+)g Fj(\033)s Fn(,)33 b(and)f(w)m(e)i(lo)s(ok)f(for)229 3875 y Fj(~)212 3898 y(A)280 3865 y Fh(1)280 3921 y(1)320 3898 y Fn(,)392 3875 y Fj(~)375 3898 y(A)443 3865 y Fh(1)443 3921 y(2)513 3898 y Fn(suc)m(h)d(that)1661 4078 y Fj(~)1644 4101 y(A)1712 4115 y Fh(1)1834 4101 y Fn(=)2005 4078 y Fj(~)1988 4101 y(A)2056 4063 y Fh(1)2056 4123 y(1)2116 4101 y Fn(+)20 b Fj(O)s Fn(\()p Fj(t)2347 4063 y Fh(2)2347 4123 y(12)2422 4101 y Fn(\))1661 4216 y Fj(~)1644 4239 y(A)1712 4253 y Fh(2)1834 4239 y Fn(=)2005 4216 y Fj(~)1988 4239 y(A)2056 4201 y Fh(1)2056 4261 y(2)2116 4239 y Fn(+)g Fj(O)s Fn(\()p Fj(t)2347 4201 y Fh(2)2347 4261 y(12)2422 4239 y Fn(\))30 b Fj(:)1176 b Fn(\(D.83\))212 4441 y(Computing)36 b(the)h(T)-8 b(a)m(ylor)38 b(expansion)e(for)f Fj(~)-43 b(r)1766 4455 y Fh(1)1843 4441 y Fn(and)34 b Fj(~)-42 b(r)2068 4455 y Fh(3)2145 4441 y Fn(at)38 b Fj(t)f Fn(=)f Fj(t)2473 4455 y Fh(2)2550 4441 y Fn(and)h(using)e(the)j(equations)f(of)h(motion) 212 4554 y(\(namely)-8 b(,)34 b(taking)g(the)g(scalar)f(pro)s(duct)g (of)h(\(C.76\))h(with)29 b Fj(~)-42 b(r)2278 4568 y Fh(2)2351 4554 y Fn(and)34 b(next)g(using)e(the)i(second)f(of)h(\(2.17\),)j(for) 212 4667 y Fj(t)25 b Fn(=)g Fj(t)399 4681 y Fh(1)469 4667 y Fn(and)k Fj(t)d Fn(=)f Fj(t)833 4681 y Fh(3)902 4667 y Fn(\))31 b(w)m(e)g(get)g(for)f Fj(h)c(<)f(k)s Fn(:)1299 4925 y Fj(~)-43 b(r)1342 4940 y Fi(h)1407 4925 y Fl(^)17 b Fj(~)-42 b(r)1529 4940 y Fi(k)1597 4925 y Fn(=)25 b([)p Fj(t)1751 4940 y Fi(hk)1855 4925 y Fn(+)1962 4864 y Fj(t)1995 4831 y Fh(3)1995 4890 y Fi(hk)p 1956 4904 129 4 v 1956 4988 a Fn(6)p Fj(r)2045 4957 y Fh(3)2042 5013 y(2)2114 4925 y Fn(+)20 b Fj(O)s Fn(\()p Fj(t)2345 4888 y Fh(4)2345 4948 y Fi(hk)2429 4925 y Fn(\)])28 b Fj(~)-43 b(r)2560 4939 y Fh(2)2620 4925 y Fl(^)16 b Fj(~)-41 b(v)2745 4939 y Fh(2)2815 4925 y Fn(;)212 5179 y(comparing)30 b(the)g(previous)f(equation)h(to)i(\(D.80\),)g(one)f(gets)1554 5437 y Fj(\022)1597 5452 y Fi(hk)1705 5437 y Fn(=)25 b Fj(t)1834 5452 y Fi(hk)1938 5437 y Fn(+)2045 5376 y Fj(t)2078 5343 y Fh(3)2078 5402 y Fi(hk)p 2039 5416 V 2039 5500 a Fn(6)p Fj(r)2128 5469 y Fh(3)2125 5525 y(2)2197 5437 y Fn(+)20 b Fj(O)s Fn(\()p Fj(t)2428 5400 y Fh(4)2428 5460 y Fi(hk)2511 5437 y Fn(\))31 b Fj(:)2033 5964 y Fn(35)p eop %%Page: 36 36 36 35 bop 212 386 a Fn(A)31 b(similar)c(argumen)m(t)k(can)g(b)s(e)f (applied)e(to)j(the)f(Earth,)h(so)f(that)h(one)g(obtains)1539 609 y Fj(T)1592 624 y Fi(hk)1701 609 y Fn(=)25 b Fj(t)1830 624 y Fi(hk)1933 609 y Fn(+)2042 548 y Fj(t)2075 515 y Fh(3)2075 574 y Fi(hk)p 2034 588 133 4 v 2034 672 a Fn(6)p Fj(a)2127 641 y Fh(3)2127 697 y(2)2197 609 y Fn(+)20 b Fj(O)s Fn(\()p Fj(t)2428 572 y Fh(4)2428 632 y Fi(hk)2511 609 y Fn(\))31 b(;)212 833 y(if)e(w)m(e)i(appro)m(ximate)g(to)g(the)f 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b(and)f(therefore)h(a)212 4712 y(\014rst)f(appro)m(ximation)f(of)i(the)f(elemen)m(ts)h(within)d(an)i (error)g(of)g Fj(O)s Fn(\()p Fj(t)2513 4726 y Fh(12)2588 4712 y Fn(\).)212 4993 y Fm(E)135 b(Singularities)47 b(of)e(Kepler's)h(equation)212 5196 y Fn(When)31 b(the)g(metho)s(d)g (of)g(Laplace)g(is)f(applied)f(with)h(more)h(than)g(3)h(observ)-5 b(ations,)31 b(one)g(is)f(led)g(to)i(compute)212 5309 y(T)-8 b(a)m(ylor)31 b(expansions)e(with)g(resp)s(ect)h(to)h(time)f (\(see)i(Remark)e(2.1\))i(of)f(the)f(form)1631 5481 y Fj(f)10 b Fn(\()p Fj(t)p Fn(\))25 b(=)1910 5401 y Fc(X)2045 5481 y Fj(c)2084 5495 y Fi(n)2162 5481 y Fn(\()p Fj(t)20 b Fl(\000)g Fj(t)2374 5495 y Fh(2)2413 5481 y Fn(\))2448 5444 y Fi(n)2033 5964 y Fn(36)p eop %%Page: 37 37 37 36 bop 212 386 a Fn(where)21 b Fj(t)499 400 y Fh(2)559 386 y Fn(represen)m(ts,)g(for)f(instance,)h(the)g(time)g(of)g(mean)g (observ)-5 b(ation.)21 b(The)f(function)g Fj(f)10 b Fn(\()p Fj(t)p Fn(\))21 b(migh)m(t)f(coincide)212 499 y(with)34 b(the)i(ecliptic)e(longitude)g Fj(\025)h Fn(or)h(with)e(the)i(latitude) e Fj(\014)5 b Fn(.)36 b(In)e(suc)m(h)i(cases)g(w)m(e)g(can)f(write)g (the)h(function)212 612 y Fj(f)10 b Fn(\()p Fj(t)p Fn(\))30 b(in)f(terms)i(of)f(the)h(eccen)m(tric)g(anomaly)f(as)1766 816 y Fj(f)10 b Fn(\()p Fj(t)p Fn(\))25 b(=)g Fj(F)13 b Fn(\()p Fj(\030)t Fn(\()p Fj(t)p Fn(\)\))32 b Fj(;)1306 b Fn(\(E.87\))212 1021 y(where)32 b Fj(F)45 b Fn(is)31 b(analytic)h(ev)m(erywhere)h(on)f Fo(R)p Fn(,)h(while)d Fj(\030)i Fn(:)d Fo(R)g Fl(!)f Fo(R)k Fn(denotes)h(the)g(eccen)m(tric)g (anomaly)-8 b(,)33 b(whic)m(h)212 1134 y(is)d(uniquely)d(de\014ned)i (through)h(Kepler's)f(equation:)1386 1338 y Fj(\030)24 b Fl(\000)c Fj(\017)45 b Fn(sin)14 b Fj(\030)29 b Fn(=)c Fj(M)36 b Fn(=)25 b Fj(n)p Fn(\()p Fj(t)20 b Fl(\000)g Fj(t)2402 1352 y Fh(2)2441 1338 y Fn(\))g(+)g Fj(M)2675 1352 y Fh(2)2745 1338 y Fj(;)926 b Fn(\(E.88\))212 1542 y(where)27 b Fj(\017)g Fn(denotes)h(the)f(eccen)m(tricit)m(y)i(of)e (the)g(orbit)g(\(w)m(e)h(assume)f(that)h Fj(\017)d(<)g Fn(1\),)j Fj(n)f Fn(is)f(the)i(mean)f(motion)g(and)212 1655 y Fj(M)300 1669 y Fh(2)374 1655 y Fn(is)33 b(the)h(mean)g(anomaly) g(at)g(time)g Fj(t)1603 1669 y Fh(2)1642 1655 y Fn(.)g(In)f(this)g (section,)i(in)d(view)i(of)g(\(E.87\))h(w)m(e)g(w)m(an)m(t)f(to)h(in)m (v)m(estigate)212 1768 y(the)42 b(radius)d(of)i(con)m(v)m(ergence)j(of) e(the)f(series)g(whic)m(h)f(de\014nes)g(through)h(\(E.88\))i(the)e (eccen)m(tric)i(anomaly)212 1881 y(in)c(terms)i(of)g(the)f(mean)h (anomaly)g(and)f(therefore)h(of)f(the)h(time)g(\(see)g([5)q(]\).)g(Th)m (us,)f(w)m(e)h(are)g(led)f(to)h(the)212 1994 y(problem)32 b(of)h(\014nding)e(the)i(radius)f(of)h(con)m(v)m(ergence,)j(sa)m(y)e Fj(R)q Fn(\()p Fj(\017)p Fn(\),)g(of)f(the)g(T)-8 b(a)m(ylor)34 b(expansion)e(of)h Fj(\030)k Fn(in)32 b(terms)212 2107 y(of)f Fj(M)f Fl(\000)20 b Fj(M)613 2121 y Fh(2)678 2107 y Fn(=)25 b Fj(n)p Fn(\()p Fj(t)20 b Fl(\000)g Fj(t)1041 2121 y Fh(2)1080 2107 y Fn(\):)1565 2280 y Fj(\030)29 b Fn(=)1762 2175 y Fe(1)1737 2199 y Fc(X)1730 2381 y Fi(n)p Fh(=0)1879 2280 y Fj(a)1927 2294 y Fi(n)1974 2280 y Fn(\()p Fj(\017)p Fn(\))h(\()p Fj(M)h Fl(\000)20 b Fj(M)2444 2294 y Fh(2)2484 2280 y Fn(\))2519 2243 y Fi(n)2566 2280 y Fj(;)212 2519 y Fn(for)27 b(some)g(real)f(co)s(e\016cien)m(ts)i Fj(a)1250 2533 y Fi(n)1297 2519 y Fn(\()p Fj(\017)p Fn(\).)f(W)-8 b(e)28 b(start)f(b)m(y)g(constructing)f(an)h(analytic)f(con)m(tin)m (uation)h Fj(w)i Fn(of)e Fj(\030)k Fn(whic)m(h)212 2632 y(v)m(eri\014es)f(the)g(complex)h(Kepler's)e(equation)1735 2837 y Fj(w)23 b Fl(\000)c Fj(\017)46 b Fn(sin)14 b Fj(w)27 b Fn(=)e Fj(\026)30 b(;)1275 b Fn(\(E.89\))212 3041 y(where)30 b Fj(\026)25 b Fl(2)g Fo(C)30 b Fn(represen)m(ts)g(the)h(complex)f (mean)g(anomaly)g(and)g Fj(\017)25 b Fl(2)g Fo(R)31 b Fn(is)e(the)i(eccen)m(tricit)m(y)-8 b(.)212 3214 y(W)g(e)44 b(rep)s(ort)e(in)f(Figure)h(7)h(the)g(graph)f(of)g(the)h(analiticit)m (y)f(domain)f(as)i(giv)m(en)f(b)m(y)h(the)g(function)e Fj(\015)5 b Fn(\()p Fj(\026)3865 3228 y Fi(x)3909 3214 y Fn(\))212 3349 y(written)30 b(in)f(the)i(equiv)-5 b(alen)m(t)30 b(form)g Fj(\015)5 b Fn(\()p Fj(\026)1583 3363 y Fi(x)1627 3349 y Fn(\))26 b(=)f Fl(\006)1855 3255 y Fc(h)1910 3349 y Fn(log)q(\()2072 3313 y Fh(1)p 2072 3328 36 4 v 2075 3381 a Fi(\017)2138 3349 y Fn(+)2229 3251 y Fc(q)p 2312 3251 240 4 v 2336 3313 a Fh(1)p 2322 3328 64 4 v 2322 3382 a Fi(\017)2351 3364 y Ff(2)2415 3349 y Fl(\000)20 b Fn(1)q(\))g Fl(\000)g Fn(\(1)i Fl(\000)e Fj(\017)2928 3316 y Fh(2)2967 3349 y Fn(\))15 b(cos)h Fj(g)s Fn(\()p Fj(\026)3290 3363 y Fi(x)3335 3349 y Fn(\))3370 3255 y Fc(i)3410 3349 y Fn(,)30 b(where)g Fj(g)s Fn(\()p Fj(\026)3864 3363 y Fi(x)3909 3349 y Fn(\))212 3478 y(is)k(the)h(solution)f(of)h (the)g(equation)g Fj(x)23 b Fl(\000)g Fn(sin)14 b Fj(x)33 b Fn(=)f Fj(\026)2002 3492 y Fi(x)2046 3478 y Fn(.)j(The)g(graph)f(is)g (displa)m(y)m(ed)g(in)f(the)i(in)m(terv)-5 b(al)35 b(\()p Fl(\000)p Fj(\031)s(;)15 b(\031)s Fn(])212 3591 y(for)31 b Fj(")d Fn(=)f(0)p Fj(:)p Fn(1)32 b(and)f(rep)s(eats)h(itself)e(b)m(y) h(p)s(erio)s(dicit)m(y;)f(notice)h(the)h(existence)g(of)g(cusps)e (correp)s(onding)g(to)i(the)212 3703 y(p)s(oin)m(t)d Fj(\026)504 3717 y Fi(x)573 3703 y Fn(=)c(0.)212 3876 y(In)30 b(the)g(follo)m(wing,)f(for)i Fj(\022)c Fl(\025)e Fn(1,)31 b(w)m(e)g(will)d(denote)i(b)m(y)h(cosh)2195 3840 y Fe(\000)p Fh(1)2289 3876 y Fn(\()p Fj(\022)s Fn(\))f(the)h(p)s (ositiv)m(e)e(solution)g(of)i(cosh)15 b Fj(\021)29 b Fn(=)c Fj(\022)s Fn(.)212 4064 y Fo(Prop)s(osition)36 b(E.1)46 b Fk(L)-5 b(et)37 b Fj(D)1209 4079 y Fi(k)1290 4064 y Fk(b)-5 b(e)37 b(the)g(set)h(of)f Fj(w)g Fn(=)c Fj(x)24 b Fn(+)f Fj(iy)37 b Fl(2)c Fo(C)k Fk(such)h(that)g Fj(x)c Fl(2)f Fn(\()p Fl(\000)p Fj(\031)27 b Fn(+)c(2)p Fj(k)s(\031)s(;)15 b(\031)28 b Fn(+)c(2)p Fj(k)s(\031)s Fn(])p Fk(,)212 4177 y Fl(j)p Fj(y)s Fl(j)29 b(\024)e Fn(cosh)610 4140 y Fe(\000)p Fh(1)704 4177 y Fn(\()p Fj(\017)776 4144 y Fe(\000)p Fh(1)871 4177 y Fn(\))p Fk(;)34 b(let)g Fj(S)1153 4192 y Fi(k)1230 4177 y Fk(b)-5 b(e)34 b(the)g(set)h(of)f Fj(\026)28 b Fn(=)g Fj(\026)1984 4191 y Fi(x)2049 4177 y Fn(+)21 b Fj(i\026)2227 4191 y Fi(y)2297 4177 y Fl(2)27 b Fo(C)34 b Fk(such)g(that)i Fj(\026)2946 4191 y Fi(x)3018 4177 y Fl(2)27 b Fn(\()p Fl(\000)p Fj(\031)e Fn(+)c(2)p Fj(k)s(\031)s(;)15 b(\031)25 b Fn(+)d(2)p Fj(k)s(\031)s Fn(])p Fk(,)212 4290 y Fl(j)p Fj(\026)292 4304 y Fi(y)334 4290 y Fl(j)46 b(\024)h Fj(\015)5 b Fn(\()p Fj(\026)665 4304 y Fi(x)709 4290 y Fn(\))p Fk(,)44 b(wher)-5 b(e)46 b Fj(\015)5 b Fn(\()p Fj(\026)1227 4304 y Fi(x)1271 4290 y Fn(\))45 b Fk(is)f(the)h(p)-5 b(erio)g(dic)46 b(c)-5 b(ontinuation)46 b(of)f(the)f(function,)h (de\014ne)-5 b(d)45 b(in)g Fn(\()p Fl(\000)p Fj(\031)s(;)15 b(\031)s Fn(])p Fk(,)212 4403 y Fj(\015)5 b Fn(\()p Fj(\026)354 4417 y Fi(x)398 4403 y Fn(\))26 b Fl(\021)f Fn(cosh)727 4366 y Fe(\000)p Fh(1)821 4403 y Fn(\()p Fj(\017)893 4370 y Fe(\000)p Fh(1)988 4403 y Fn(\))7 b Fl(\000)g Fn(\(1)g Fl(\000)g Fj(\017)1310 4370 y Fh(2)1348 4403 y Fn(\))15 b(cos)h Fj(g)s Fn(\()p Fj(\026)1671 4417 y Fi(x)1716 4403 y Fn(\))p Fk(,)26 b(with)h Fj(g)s Fn(\()p Fj(\026)2132 4417 y Fi(x)2177 4403 y Fn(\))g Fk(b)-5 b(eing)26 b(the)g(unique)g(solution)h(of)g Fj(x)3386 4370 y Fe(0)3416 4403 y Fl(\000)7 b Fj(sinx)3675 4370 y Fe(0)3722 4403 y Fn(=)25 b Fj(\026)3873 4417 y Fi(x)3917 4403 y Fk(.)212 4516 y(L)-5 b(et)30 b Fj(D)e Fn(=)d Fl([)626 4531 y Fi(k)669 4516 y Fj(D)744 4531 y Fi(k)787 4516 y Fk(,)k Fj(S)h Fn(=)25 b Fl([)1087 4531 y Fi(k)1130 4516 y Fj(S)1186 4531 y Fi(k)1228 4516 y Fk(.)30 b(Then)g Fj(f)10 b Fn(\()p Fj(w)r Fn(\))26 b(=)f Fj(w)17 b Fl(\000)d Fj(\017)h Fn(sin)e Fj(w)33 b Fk(maps)e(bije)-5 b(ctively)29 b Fj(D)k Fk(to)e Fj(S)5 b Fk(,)29 b(with)i Fj(f)10 b Fn(\()p Fj(D)3619 4531 y Fi(k)3662 4516 y Fn(\))25 b(=)g Fj(S)3874 4531 y Fi(k)3917 4516 y Fk(.)212 4703 y Fo(Pro)s(of)36 b Fn(Making)30 b(use)g(of)h(the)f(relation)578 4908 y(sin)14 b Fj(w)28 b Fn(=)d(sin)14 b(\()p Fj(x)20 b Fn(+)g Fj(iy)s Fn(\))26 b(=)f(sin)14 b Fj(x)h Fn(cos)g Fj(iy)24 b Fn(+)c(cos)c Fj(x)f Fn(sin)e Fj(iy)29 b Fn(=)c(sin)14 b Fj(x)h Fn(cosh)g Fj(y)23 b Fn(+)d Fj(i)15 b Fn(cos)h Fj(x)f Fn(sinh)f Fj(y)33 b(;)212 5112 y Fn(w)m(e)e(obtain)f(that)h(the)f(equation)h (\(E.89\))h(ma)m(y)f(b)s(e)e(written)h(as)1515 5316 y Fj(u)p Fn(\()p Fj(x;)15 b(y)s Fn(\))26 b Fl(\021)f Fj(x)20 b Fl(\000)g Fj(\017)15 b Fn(cosh)h Fj(y)i Fn(sin)13 b Fj(x)26 b Fn(=)f Fj(\026)2720 5330 y Fi(x)1515 5454 y Fj(v)s Fn(\()p Fj(x;)15 b(y)s Fn(\))27 b Fl(\021)d Fj(y)f Fl(\000)d Fj(\017)15 b Fn(cos)h Fj(x)f Fn(sinh)f Fj(y)28 b Fn(=)d Fj(\026)2711 5468 y Fi(y)2782 5454 y Fj(:)2033 5964 y Fn(37)p eop %%Page: 38 38 38 37 bop 212 386 a Fn(W)-8 b(e)28 b(observ)m(e)f(that)g(the)g (transformations)f(\()p Fj(x;)15 b(y)s(;)g(\026)1953 400 y Fi(x)1997 386 y Fj(;)g(\026)2092 400 y Fi(y)2134 386 y Fn(\))25 b Fl(!)g Fn(\()p Fj(x)13 b Fn(+)g(2)p Fj(k)s(\031)s(;)i(y)s(;)g(\026)2827 400 y Fi(x)2884 386 y Fn(+)e(2)p Fj(k)s(\031)s(;)i(\026)3213 400 y Fi(y)3255 386 y Fn(\),)27 b(\()p Fj(x;)15 b(y)s(;)g(\026)3612 400 y Fi(x)3656 386 y Fj(;)g(\026)3751 400 y Fi(y)3793 386 y Fn(\))25 b Fl(!)212 499 y Fn(\()p Fl(\000)p Fj(x;)15 b(y)s(;)g Fl(\000)p Fj(\026)624 513 y Fi(x)668 499 y Fj(;)g(\026)763 513 y Fi(y)805 499 y Fn(\))23 b(and)f(\()p Fj(x;)15 b(y)s(;)g(\026)1302 513 y Fi(x)1347 499 y Fj(;)g(\026)1442 513 y Fi(y)1483 499 y Fn(\))26 b Fl(!)f Fn(\()p Fj(x;)15 b Fl(\000)p Fj(y)s(;)g(\026)2001 513 y Fi(x)2045 499 y Fj(;)g Fl(\000)p Fj(\026)2211 513 y Fi(y)2253 499 y Fn(\))23 b(lea)m(v)m(e)h(equation)f(\(E.90\))h(in)m(v)-5 b(arian)m(t.)23 b(Therefore)212 612 y(it)30 b(is)f(su\016cien)m(t)g(to) i(pro)m(v)m(e)g(that)f Fj(f)40 b Fn(maps)29 b(bijectiv)m(ely)g Fj(D)2161 574 y Fh(+)2158 637 y(0)2245 612 y Fl(\021)c Fj(D)2416 626 y Fh(0)2475 612 y Fl(\\)19 b Fo(C)2631 626 y Fh(+)2720 612 y Fn(to)31 b Fj(S)2892 574 y Fh(+)2887 637 y(0)2976 612 y Fl(\021)25 b Fj(S)3128 626 y Fh(0)3186 612 y Fl(\\)20 b Fo(C)3343 626 y Fh(+)3401 612 y Fn(,)30 b(where)g Fo(C)3795 626 y Fh(+)3883 612 y Fn(is)212 725 y(the)h(subset)e(of)i(complex)f(n)m(um)m(b)s(ers)f(with)g(nonnegativ)m (e)i(real)f(and)g(imaginary)f(parts.)212 838 y(The)38 b(function)g Fj(u)p Fn(\()p Fl(\001)p Fj(;)15 b(y)s Fn(\))40 b(v)m(eri\014es)e Fj(u)p Fn(\(0)p Fj(;)15 b(y)s Fn(\))41 b(=)e(0,)g Fj(u)p Fn(\()p Fj(\031)s(;)15 b(y)s Fn(\))41 b(=)e Fj(\031)s Fn(,)g(and)f(it)g(is)g(increasing)f(for)i Fj(x)g Fl(2)g Fn([0)p Fj(;)15 b(\031)s Fn(],)41 b(b)s(e-)212 951 y(ing)d Fj(@)420 965 y Fi(x)464 951 y Fj(u)p Fn(\()p Fj(x;)15 b(y)s Fn(\))41 b(=)f(1)26 b Fl(\000)g Fj(\017)15 b Fn(cosh)g Fj(y)j Fn(cos)e Fj(x)40 b Fl(\025)f Fn(0)h(for)f(0)h Fl(\024)f Fj(y)k Fl(\024)c Fn(cosh)2486 914 y Fe(\000)p Fh(1)2580 951 y Fn(\()p Fj(\017)2652 918 y Fe(\000)p Fh(1)2746 951 y Fn(\))h(\(notice)g(that)f Fj(@)3386 965 y Fi(x)3430 951 y Fj(u)p Fn(\()p Fj(x;)15 b(y)s Fn(\))40 b(could)212 1064 y(v)-5 b(anish)40 b(on)h Fj(D)719 1026 y Fh(+)716 1089 y(0)820 1064 y Fn(only)f(if)h(\()p Fj(x;)15 b(y)s Fn(\))45 b(=)e(\(0)p Fj(;)15 b Fn(cosh)1787 1027 y Fe(\000)p Fh(1)1882 1064 y Fn(\()p Fj(\017)1954 1031 y Fe(\000)p Fh(1)2048 1064 y Fn(\)\).)43 b(Therefore,)e(for)h(eac)m(h)g Fj(\026)3055 1078 y Fi(x)3143 1064 y Fl(2)h Fn([0)p Fj(;)15 b(\031)s Fn(])43 b(there)f(exists)212 1177 y(a)h(unique)h(~)-48 b Fj(g)t Fn(\()p Fj(\026)745 1191 y Fi(x)789 1177 y Fj(;)15 b(y)s Fn(\))43 b(suc)m(h)g(that)g Fj(u)p Fn(\()p Fj(x;)15 b(y)s Fn(\))48 b(=)d Fj(\026)1863 1191 y Fi(x)1950 1177 y Fn(for)e Fj(x)j Fn(=)j(~)-49 b Fj(g)t Fn(\()p Fj(\026)2453 1191 y Fi(x)2497 1177 y Fj(;)15 b(y)s Fn(\).)44 b(Moreo)m(v)m(er,)k(~) -48 b Fj(g)t Fn(\(0)p Fj(;)15 b(y)s Fn(\))47 b(=)f(0,)e(so)f(that)212 1290 y(the)j(function)h(~)-48 b Fj(g)t Fn(\()p Fj(\026)892 1304 y Fi(x)936 1290 y Fj(;)15 b Fl(\001)p Fn(\))46 b(is)f(di\013eren)m (tiable)f(with)g(resp)s(ect)i(to)g Fj(y)i Fn(for)e(\()p Fj(\026)2763 1304 y Fi(x)2807 1290 y Fj(;)15 b(y)s Fn(\))51 b Fl(6)p Fn(=)f(\(0)p Fj(;)15 b Fn(cosh)3396 1253 y Fe(\000)p Fh(1)3490 1290 y Fn(\()p Fj(\017)3562 1257 y Fe(\000)p Fh(1)3656 1290 y Fn(\)\),)47 b(and)212 1403 y Fj(@)260 1417 y Fi(y)305 1403 y Fn(~)-48 b Fj(g)43 b Fn(=)c Fj(\017)15 b Fn(sinh)e Fj(y)18 b Fn(sin)f(~)-48 b Fj(g)s Fn(\()p Fj(\026)1053 1417 y Fi(x)1097 1403 y Fj(;)15 b(y)s Fn(\))q Fj(=)p Fn([1)27 b Fl(\000)e Fj(\017)15 b Fn(cosh)h Fj(y)i Fn(cos)h(~)-48 b Fj(g)s Fn(\()p Fj(\026)2035 1417 y Fi(x)2079 1403 y Fj(;)15 b(y)s Fn(\))q(].)39 b(The)f(function)g Fj(h)p Fn(\()p Fj(\026)2994 1417 y Fi(x)3038 1403 y Fj(;)15 b Fl(\001)p Fn(\))41 b Fl(\021)e Fj(v)s Fn(\()s(~)-48 b Fj(g)t Fn(\()p Fj(\026)3508 1417 y Fi(x)3552 1403 y Fj(;)15 b Fl(\001)p Fn(\))p Fj(;)g Fl(\001)p Fn(\))41 b(v)m(er-)212 1516 y(i\014es)j Fj(h)p Fn(\()p Fj(\026)551 1530 y Fi(x)595 1516 y Fj(;)15 b Fn(0\))50 b(=)e(0,)e Fj(h)p Fn(\()p Fj(\026)1142 1530 y Fi(x)1186 1516 y Fj(;)15 b Fn(cosh)1399 1479 y Fe(\000)p Fh(1)1493 1516 y Fn(\()p Fj(\017)1565 1483 y Fe(\000)p Fh(1)1660 1516 y Fn(\))49 b(=)f(cosh)2035 1479 y Fe(\000)p Fh(1)2130 1516 y Fn(\()p Fj(\017)2202 1483 y Fe(\000)p Fh(1)2296 1516 y Fn(\))30 b Fl(\000)g Fn(\(1)g Fl(\000)f Fj(\017)2709 1483 y Fh(2)2749 1516 y Fn(\))2784 1483 y Fh(1)p Fi(=)p Fh(2)2909 1516 y Fn(cos)16 b Fj(g)s Fn(\()p Fj(\026)3182 1530 y Fi(x)3227 1516 y Fn(\),)45 b(where)f Fj(g)s Fn(\()p Fj(\026)3745 1530 y Fi(x)3790 1516 y Fn(\))49 b(=)215 1628 y(~)-48 b Fj(g)t Fn(\()p Fj(\026)349 1642 y Fi(x)393 1628 y Fj(;)15 b Fn(cosh)605 1592 y Fe(\000)p Fh(1)700 1628 y Fn(\()p Fj(\017)772 1595 y Fe(\000)p Fh(1)866 1628 y Fn(\)\),)33 b(i.e.)e Fj(g)s Fn(\()p Fj(\026)1277 1642 y Fi(x)1322 1628 y Fn(\))h(is)f(the)g(unique)f(solution)g(of)i Fj(x)2438 1595 y Fe(0)2482 1628 y Fl(\000)21 b Fn(sin)14 b Fj(x)2753 1595 y Fe(0)2803 1628 y Fn(=)27 b Fj(\026)2956 1642 y Fi(x)3031 1628 y Fn(\(w)m(e)33 b(ha)m(v)m(e)g(used)d(sinh)14 b Fj(y)30 b Fn(=)212 1741 y(\(cosh)420 1705 y Fh(2)474 1741 y Fj(y)h Fl(\000)c Fn(1\))728 1708 y Fh(1)p Fi(=)p Fh(2)883 1741 y Fn(=)44 b(\()p Fj(\017)1070 1708 y Fe(\000)p Fh(2)1192 1741 y Fl(\000)28 b Fn(1\))1371 1708 y Fh(1)p Fi(=)p Fh(2)1523 1741 y Fn(for)41 b Fj(y)47 b Fn(=)d(cosh)2052 1705 y Fe(\000)p Fh(1)2146 1741 y Fn(\()p Fj(\017)2218 1708 y Fe(\000)p Fh(1)2313 1741 y Fn(\)\);)f(therefore)f Fj(h)p Fn(\()p Fj(\026)2986 1755 y Fi(x)3030 1741 y Fj(;)15 b Fn(cosh)3243 1705 y Fe(\000)p Fh(1)3337 1741 y Fn(\()p Fj(\017)3409 1708 y Fe(\000)p Fh(1)3504 1741 y Fn(\))44 b(=)g Fj(\015)5 b Fn(\()p Fj(\026)3840 1755 y Fi(x)3884 1741 y Fn(\).)212 1854 y(Moreo)m(v)m(er,)31 b Fj(h)p Fn(\()p Fj(\026)777 1868 y Fi(x)822 1854 y Fj(;)15 b Fl(\001)p Fn(\))29 b(is)f(con)m(tin)m(uous)h(for)f Fj(y)g Fl(2)d Fn([0)p Fj(;)15 b Fn(cosh)2075 1817 y Fe(\000)p Fh(1)2169 1854 y Fn(\()p Fj(\017)2241 1821 y Fe(\000)p Fh(1)2335 1854 y Fn(\)])30 b(for)e(eac)m(h)i Fj(\026)2820 1868 y Fi(x)2889 1854 y Fl(2)25 b Fn([0)p Fj(;)15 b(\031)s Fn(])30 b(and)f(it)f(is)g(increasing)212 1967 y(in)h Fj(y)s Fn(,)i(b)s(eing)515 2157 y Fj(@)563 2171 y Fi(y)605 2157 y Fj(h)p Fn(\()p Fj(\026)747 2171 y Fi(x)791 2157 y Fj(;)15 b(y)s Fn(\))26 b(=)f(1)c Fl(\000)f Fj(\017)15 b Fn(cos)k(~)-49 b Fj(g)t Fn(\()p Fj(\026)1518 2171 y Fi(x)1562 2157 y Fj(;)15 b(y)s Fn(\))h(cosh)f Fj(y)23 b Fn(+)d Fj(\017)15 b Fn(sin)i(~)-48 b Fj(g)t Fn(\()p Fj(\026)2363 2171 y Fi(x)2407 2157 y Fj(;)15 b(y)s Fn(\))g(sinh)f Fj(y)33 b(@)2849 2171 y Fi(y)2894 2157 y Fn(~)-49 b Fj(g)t Fn(\()p Fj(\026)3027 2171 y Fi(x)3071 2157 y Fj(;)15 b(y)s Fn(\))515 2295 y(=)25 b([\(1)c Fl(\000)f Fj(\017)15 b Fn(cos)k(~)-48 b Fj(g)t Fn(\()p Fj(\026)1154 2309 y Fi(x)1198 2295 y Fj(;)15 b(y)s Fn(\))h(cosh)f Fj(y)s Fn(\))1607 2258 y Fh(2)1667 2295 y Fn(+)20 b Fj(\017)1795 2258 y Fh(2)1849 2295 y Fn(sin)1961 2258 y Fh(2)2018 2295 y Fn(~)-48 b Fj(g)t Fn(\()p Fj(\026)2152 2309 y Fi(x)2196 2295 y Fj(;)15 b(y)s Fn(\))h(sinh)2497 2258 y Fh(2)2551 2295 y Fj(y)s Fn(])p Fj(=)p Fn(\(1)22 b Fl(\000)e Fj(\017)15 b Fn(cos)k(~)-48 b Fj(g)s Fn(\()p Fj(\026)3187 2309 y Fi(x)3231 2295 y Fj(;)15 b(y)s Fn(\))h(cosh)g Fj(y)s Fn(\))25 b Fj(>)g Fn(0)212 2486 y(for)20 b(\()p Fj(\026)431 2500 y Fi(x)475 2486 y Fj(;)15 b(y)s Fn(\))26 b Fl(6)p Fn(=)f(\(0)p Fj(;)15 b Fn(cosh)1013 2449 y Fe(\000)p Fh(1)1108 2486 y Fn(\()p Fj(\017)1180 2453 y Fe(\000)p Fh(1)1274 2486 y Fn(\)\).)21 b(Therefore,)g(for)f(eac)m(h)h Fj(\026)2196 2500 y Fi(y)2263 2486 y Fl(2)k Fn([0)p Fj(;)15 b(\015)5 b Fn(\()p Fj(\026)2601 2500 y Fi(x)2646 2486 y Fn(\)])21 b(there)f(exists)g(a)h(unique)d Fj(`)p Fn(\()p Fj(\026)3669 2500 y Fi(x)3713 2486 y Fj(;)d(\026)3808 2500 y Fi(y)3849 2486 y Fn(\))26 b Fl(2)212 2598 y Fn([0)p Fj(;)15 b Fn(cosh)495 2562 y Fe(\000)p Fh(1)590 2598 y Fn(\()p Fj(\017)662 2566 y Fe(\000)p Fh(1)756 2598 y Fn(\)],)38 b(suc)m(h)f(that)g Fj(h)p Fn(\()p Fj(\026)1436 2612 y Fi(x)1481 2598 y Fj(;)15 b(y)s Fn(\))37 b(=)f Fj(\026)1803 2612 y Fi(y)1881 2598 y Fn(for)h Fj(y)i Fn(=)d Fj(`)p Fn(\()p Fj(\026)2346 2612 y Fi(x)2390 2598 y Fj(;)15 b(y)s Fn(\).)37 b(The)g(theorem)g(is)f(pro)m(v)m(ed)i(b)m(y)f (the)g(ex-)212 2711 y(plicit)28 b(construction)h(of)g(the)h(in)m(v)m (erse)f(function)f Fj(f)1932 2678 y Fe(\000)p Fh(1)2026 2711 y Fn(,)i(de\014ned)e(as)i Fj(f)2559 2678 y Fe(\000)p Fh(1)2677 2711 y Fn(=)25 b Fj(h)p Fn(\()p Fj(\026)2915 2725 y Fi(x)2960 2711 y Fj(;)15 b(`)p Fn(\()p Fj(\026)3128 2725 y Fi(x)3172 2711 y Fj(;)g(\026)3267 2725 y Fi(y)3309 2711 y Fn(\)\))k(+)f Fj(i`)p Fn(\()p Fj(\026)3646 2725 y Fi(x)3690 2711 y Fj(;)d(\026)3785 2725 y Fi(y)3827 2711 y Fn(\))29 b(if)212 2824 y Fj(\026)c Fn(=)g Fj(\026)443 2838 y Fi(x)507 2824 y Fn(+)20 b Fj(i\026)684 2838 y Fi(y)751 2824 y Fl(2)k Fj(S)5 b Fn(.)212 3050 y(The)39 b(domain)g Fj(S)44 b Fn(of)c Fj(f)1009 3017 y Fe(\000)p Fh(1)1142 3050 y Fn(has)f(a)h(con)m(tour)h(de\014ned)d(b)m(y)i(the)f (functions)f Fj(\026)2818 3064 y Fi(x)2903 3050 y Fl(!)i(\006)p Fj(\015)5 b Fn(\()p Fj(\026)3247 3064 y Fi(x)3291 3050 y Fn(\).)40 b(A)g(straigh)m(tfor-)212 3163 y(w)m(ard)g(computation)f (sho)m(ws)h(that)g Fj(\015)5 b Fn(\()p Fj(\026)1605 3177 y Fi(x)1649 3163 y Fn(\))40 b(is)f(con)m(tin)m(uous)h(for)f Fj(\026)2493 3177 y Fi(x)2578 3163 y Fn(=)i(\(2)p Fj(k)30 b Fn(+)c(1\))p Fj(\031)s Fn(,)41 b(where)e(it)h(tak)m(es)h(lo)s(cal)212 3276 y(maxima,)32 b(while)f(lo)s(cal)g(minima)f(are)j(attained)f(at)i Fj(\026)2054 3290 y Fi(x)2126 3276 y Fn(=)28 b(2)p Fj(k)s(\031)s Fn(.)33 b(The)f(function)f Fj(\015)37 b Fn(is)31 b(di\013eren)m(tiable) g(at)i(the)212 3389 y(maxima,)24 b(while)e(at)j(the)g(p)s(oin)m(ts)e (of)h(minim)m(um)d Fj(\015)29 b Fn(tak)m(es)d(the)e(v)-5 b(alue)24 b Fj(\015)5 b Fn(\(2)p Fj(k)s(\031)s Fn(\))27 b(=)e(cosh)3077 3352 y Fe(\000)p Fh(1)3171 3389 y Fn(\()p Fj(\017)3243 3356 y Fe(\000)p Fh(1)3338 3389 y Fn(\))8 b Fl(\000)g Fn(\(1)g Fl(\000)g Fj(\017)3664 3356 y Fh(2)3703 3389 y Fn(\))3738 3356 y Fh(1)p Fi(=)p Fh(2)3874 3389 y Fl(\021)219 3514 y Fn(\026)-52 b Fj(\026)267 3528 y Fi(y)339 3514 y Fn(=)30 b Fl(j)15 b Fn(ln)f([)p Fj(\017)30 b(e)705 3481 y Fh(\(1)p Fe(\000)p Fi(\017)851 3457 y Ff(2)886 3481 y Fh(\))913 3457 y Ff(1)p Fa(=)p Ff(2)1015 3514 y Fj(=)p Fn(\(1)21 b(+)f(\(1)h Fl(\000)f Fj(\017)1481 3481 y Fh(2)1521 3514 y Fn(\))1556 3481 y Fh(1)p Fi(=)p Fh(2)1666 3514 y Fn(\)])q Fl(j)p Fn(,)33 b(b)s(eing)f Fj(g)s Fn(\(2)p Fj(k)s(\031)s Fn(\))h(=)d(2)p Fj(k)s(\031)s Fn(.)k(These)f(are)h(singular)d(p)s(oin)m(ts)i(of)g(the)212 3627 y(\014rst)23 b(deriv)-5 b(ativ)m(e)23 b(of)g Fj(\015)5 b Fn(,)24 b(whic)m(h)e(tends)g(to)i Fl(\0061)f Fn(according)h(to)g Fj(\026)2339 3641 y Fi(x)2406 3627 y Fn(approac)m(hing)e(2)p Fj(k)s(\031)27 b Fn(from)c(the)h(righ)m(t)e(or)i(from)212 3740 y(the)k(left.)g(Moreo)m(v)m(er,)i(the)e(second)g(deriv)-5 b(ativ)m(e)28 b(of)g Fj(\015)33 b Fn(is)27 b(negativ)m(e)i(in)e(ev)m (ery)h(in)m(terv)-5 b(al)27 b(\()p Fl(\000)p Fj(\031)19 b Fn(+)c(2)p Fj(k)s(\031)s(;)g(\031)k Fn(+)c(2)p Fj(k)s(\031)s Fn(\);)212 3852 y(therefore)38 b Fj(S)30 b Fl(\\)24 b Fn(\()p Fl(\000)p Fj(\031)k Fn(+)c(2)p Fj(k)s(\031)s(;)15 b(\031)29 b Fn(+)c(2)p Fj(k)s(\031)s Fn(\))38 b(is)e(a)i(con)m(v)m(ex)h (set.)f(The)e(p)s(oin)m(ts)g(\(2)p Fj(k)s(\031)29 b Fl(\006)c Fj(i)7 b Fn(\026)-52 b Fj(\026)3169 3866 y Fi(y)3210 3852 y Fn(\))38 b(are)f(also)g(singular)212 3965 y(p)s(oin)m(ts)e(for)h (the)g(deriv)-5 b(ativ)m(e)36 b(of)g Fj(f)1385 3932 y Fe(\000)p Fh(1)1479 3965 y Fn(.)g(Indeed,)g(the)g(singularities)d(of)j (the)h(function)d Fj(f)3229 3932 y Fe(\000)p Fh(1)3359 3965 y Fn(m)m(ust)i(b)s(e)g(found)212 4078 y(among)31 b(the)g(v)-5 b(alues)29 b Fj(\026)c Fl(2)g Fj(S)5 b Fn(,)31 b(suc)m(h)f(that)h Fj(w)d Fn(=)c Fj(f)1860 4045 y Fe(\000)p Fh(1)1954 4078 y Fn(\()p Fj(\026)p Fn(\))31 b(is)e(a)i(solution)e(of) 1577 4269 y Fj(f)1632 4231 y Fe(0)1655 4269 y Fn(\()p Fj(w)r Fn(\))d(=)f(1)c Fl(\000)f Fj(\017)45 b Fn(cos)16 b Fj(w)28 b Fn(=)d(0)30 b Fj(:)212 4459 y Fn(Equating)g(to)h(zero)g (the)g(real)f(and)f(the)i(imaginary)e(parts,)h(w)m(e)h(obtain)1739 4649 y(1)21 b Fl(\000)e Fj(\017)46 b Fn(cosh)15 b Fj(y)j Fn(cos)e Fj(x)25 b Fn(=)g(0)1739 4787 y Fj(\017)45 b Fn(sinh)14 b Fj(y)j Fn(sin)d Fj(x)25 b Fn(=)g(0)31 b Fj(:)212 4977 y Fn(The)20 b(previous)f(equations)h(admit)f(solutions)g (in)g Fj(D)s Fn(,)h(giv)m(en)g(b)m(y)g Fj(x)26 b Fn(=)k(\026)-50 b Fj(x)2548 4992 y Fi(k)2616 4977 y Fn(=)24 b(2)p Fj(k)s(\031)s Fn(,)e Fj(y)28 b Fn(=)j(\026)-51 b Fj(y)3122 4991 y Fe(\006)3206 4977 y Fn(=)25 b Fl(\006)15 b Fn(cosh)3560 4940 y Fe(\000)p Fh(1)3654 4977 y Fn(\()p Fj(\017)3726 4944 y Fe(\000)p Fh(1)3820 4977 y Fn(\))26 b(=)212 5090 y Fl(\006)15 b Fn(ln)f([1)p Fj(=\017)21 b Fn(+)f(\(1)p Fj(=\017)815 5057 y Fh(2)876 5090 y Fl(\000)g Fn(1\))1047 5057 y Fh(1)p Fi(=)p Fh(2)1158 5090 y Fn(].)32 b(The)g(singular)e(p)s(oin)m(ts)h(of)h (the)h(deriv)-5 b(ativ)m(e)31 b(of)i Fj(f)2893 5057 y Fe(\000)p Fh(1)3018 5090 y Fn(on)f(S)g(are)h(then)f(found)e(b)m(y)212 5203 y(computing)c Fj(f)10 b Fn(\()c(\026)-51 b Fj(x)800 5218 y Fi(k)856 5203 y Fn(+)13 b Fj(i)6 b Fn(\026)-51 b Fj(y)1016 5217 y Fe(\006)1075 5203 y Fn(\),)27 b(whic)m(h)f(corresp)s (ond)f(to)j Fj(\026)d Fn(=)g(2)p Fj(k)s(\031)17 b Fl(\006)c Fj(i)7 b Fn(\026)-52 b Fj(\026)2496 5217 y Fi(y)2538 5203 y Fn(.)27 b(W)-8 b(e)28 b(ha)m(v)m(e)g(th)m(us)e(pro)m(v)m(ed)i (the)f(follo)m(wing)212 5379 y Fo(Prop)s(osition)36 b(E.2)46 b Fk(The)35 b(c)-5 b(omplex)38 b(function)d Fj(f)1924 5346 y Fe(\000)p Fh(1)2048 5379 y Fn(:)c Fj(S)k Fl(!)c Fj(D)s Fk(,)k(de\014ne)-5 b(d)36 b(as)g(the)g(inverse)g(of)f(the)h (function)212 5492 y Fj(f)f Fn(:)25 b Fj(D)j Fl(!)d Fj(S)30 b Fk(given)24 b(by)h(Pr)-5 b(op)g(osition)27 b(\(E.1\),)e(is)g (de\014ne)-5 b(d)26 b(in)f(a)g(domain)h Fj(S)k Fk(such)25 b(that)h Fj(S)8 b Fl(\\)s Fn(\()p Fl(\000)p Fj(\031)e Fn(+)s(2)p Fj(k)s(\031)s(;)15 b(\031)6 b Fn(+)s(2)p Fj(k)s(\031)s Fn(\))2033 5964 y(38)p eop %%Page: 39 39 39 38 bop 212 389 a Fk(is)31 b(c)-5 b(onvex,)31 b(and)g(it)g(is)f (analytic)i(in)f Fj(S)21 b Fl(\000)15 b(f)p Fn(2)p Fj(k)s(\031)20 b Fl(\006)c Fj(i)7 b Fn(\026)-52 b Fj(\026)1985 403 y Fi(y)2026 389 y Fl(g)p Fk(,)31 b(wher)-5 b(e)39 b Fn(\026)-52 b Fj(\026)2440 403 y Fi(y)2506 389 y Fn(=)25 b Fl(j)15 b Fn(ln)f([)p Fj(\017)33 b(e)2870 356 y Fh(\(1)p Fe(\000)p Fi(\017)3016 332 y Ff(2)3051 356 y Fh(\))3078 332 y Ff(1)p Fa(=)p Ff(2)3180 389 y Fj(=)p Fn(\(1)21 b(+)f(\(1)h Fl(\000)f Fj(\017)3646 356 y Fh(2)3685 389 y Fn(\))3720 356 y Fh(1)p Fi(=)p Fh(2)3831 389 y Fn(\)])p Fl(j)p Fk(.)212 502 y(The)33 b(p)-5 b(oints)34 b Fn(2)p Fj(k)s(\031)24 b Fl(\006)c Fj(i)7 b Fn(\026)-52 b Fj(\026)1013 516 y Fi(y)1087 502 y Fk(ar)-5 b(e)33 b(minima)h(of)f(the)g(function)g Fj(\015)5 b Fk(.)212 689 y Fn(As)41 b(a)h(consequence,)g(the)f(distance)g(of)g (an)m(y)g(initial)e(p)s(oin)m(t)h(\(see)i(\(E.88\)\))h Fj(\026)f Fn(=)h Fj(M)3160 703 y Fh(2)3243 689 y Fl(2)g Fo(R)e Fn(lying)e(in)h(the)212 802 y(in)m(terv)-5 b(al)42 b([)p Fl(\000)p Fj(\031)31 b Fn(+)e(2)p Fj(k)s(\031)s(;)15 b(\031)32 b Fn(+)c(2)p Fj(k)s(\031)s Fn(\))44 b(from)e(the)h(nearest)h (singularities)39 b Fj(\026)2730 816 y Fe(\006)2835 802 y Fl(\021)45 b Fn(2)p Fj(k)s(\031)33 b Fl(\006)28 b Fj(i)7 b Fn(\026)-52 b Fj(\026)3316 816 y Fi(y)3357 802 y Fn(\()p Fj(\017)p Fn(\))44 b(is)d(equal)i(to)212 915 y Fj(R)q Fn(\()p Fj(\017)p Fn(\))26 b(=)f([\()p Fj(M)659 929 y Fh(2)710 915 y Fl(\000)11 b Fn(2)p Fj(k)s(\031)s Fn(\))977 882 y Fh(2)1028 915 y Fn(+)17 b(\026)-51 b Fj(\026)1165 929 y Fi(y)1205 915 y Fn(\()p Fj(\017)p Fn(\))1312 882 y Fh(2)1352 915 y Fn(])1377 882 y Fh(1)p Fi(=)p Fh(2)1488 915 y Fn(;)25 b(henceforth,)h(the)g(real)f(eccen)m(tric)i(anomaly)f Fj(\030)t Fn(\()p Fj(t)p Fn(\),)g(obtained)f(through)212 1028 y(the)32 b(analytic)g(function)f Fj(f)1131 995 y Fe(\000)p Fh(1)1224 1028 y Fn(\()p Fj(\026)p Fn(\))i(for)e Fj(\026)d Fn(=)g Fj(M)1792 1042 y Fh(2)1853 1028 y Fn(+)21 b Fj(n)p Fn(\()p Fj(t)g Fl(\000)g Fj(t)2214 1042 y Fh(2)2253 1028 y Fn(\),)33 b(can)f(b)s(e)f(expanded)h(in)e(a)j(con)m(v)m(ergen)m (t)h(T)-8 b(a)m(ylor)212 1141 y(series)26 b(of)g(p)s(o)m(w)m(ers)g(of)h Fj(t)12 b Fl(\000)g Fj(t)1109 1155 y Fh(2)1174 1141 y Fn(with)25 b(cen)m(ter)j(at)f Fj(t)1784 1155 y Fh(2)1823 1141 y Fn(,)g(only)e(if)g Fj(n)p Fl(j)p Fj(t)12 b Fl(\000)g Fj(t)2390 1155 y Fh(2)2429 1141 y Fl(j)26 b Fn(=)f Fl(j)p Fj(M)d Fl(\000)12 b Fj(M)2882 1155 y Fh(2)2922 1141 y Fl(j)25 b Fj(<)g(R)q Fn(\()p Fj(\017)p Fn(\),)i(where)f Fj(n)e Fn(=)h Fj(a)3779 1108 y Fe(\000)p Fh(3)p Fi(=)p Fh(2)212 1254 y Fn(is)30 b(the)g(mean)h(motion)f(of)g(the)h(orbit.)e (Finally)g(w)m(e)i(obtain)e(that)i Fl(j)p Fj(t)21 b Fl(\000)f Fj(t)2644 1268 y Fh(2)2683 1254 y Fl(j)25 b Fj(<)g(R)q Fn(\()p Fj(\017)p Fn(\))p Fj(a)3054 1221 y Fh(3)p Fi(=)p Fh(2)3165 1254 y Fn(.)212 1367 y(Notice)34 b(that)41 b(\026)-52 b Fj(\026)755 1381 y Fi(y)796 1367 y Fn(\()p Fj(\017)p Fn(\))30 b Fl(\024)g Fj(R)q Fn(\()p Fj(\017)p Fn(\))g Fl(\024)f Fn(\()p Fj(\031)1431 1334 y Fh(2)1493 1367 y Fn(+)g(\026)-52 b Fj(\026)1641 1381 y Fi(y)1682 1367 y Fn(\()p Fj(\017)p Fn(\))1789 1334 y Fh(2)1829 1367 y Fn(\))1864 1334 y Fh(1)p Fi(=)p Fh(2)1974 1367 y Fn(,)34 b(and)e(that)i Fj(R)q Fn(\()p Fj(\017)p Fn(\))f(reac)m(hes)h (its)e(minim)m(um)f(\(maxim)m(um\))212 1480 y(v)-5 b(alue)37 b(\026)-52 b Fj(\026)502 1494 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y(orbit\).)f(As)g(an)g(example,)g(w)m(e)g(men)m (tion)g(that)h(in)d(the)j(case)g(of)f(the)g(orbit)f(of)i(Juno,)e(where) h Fj(\017)d Fn(=)g(0)p Fj(:)p Fn(245049)212 1931 y(and)i Fj(a)d Fn(=)f(2)p Fj(:)p Fn(644619)37 b(\(see)d(T)-8 b(able)33 b(2\),)h(one)f(obtains)g(0)p Fj(:)p Fn(763)i(y)m(ears)f(as)f (a)h(lo)m(w)m(er)f(b)s(ound)e(and)i(2)p Fj(:)p Fn(282)i(y)m(ears)f(as) 212 2044 y(an)c(upp)s(er)e(b)s(ound)g(for)i Fj(R)q Fn(\()p Fj(\017)p Fn(\))p Fj(a)1242 2011 y Fh(3)p Fi(=)p Fh(2)1383 2044 y Fn(\(recall)g(that)g(one)h(y)m(ear)g(corresp)s(onds)e(to)i(2)p Fj(\031)i Fn(in)c(our)h(units)e(of)j(measure\).)212 2331 y Fm(References)212 2534 y Fn([1])47 b(Galla)m(v)m(otti)36 b(G.:)h Fd(Meccanica)g(Elemen)m(tare,)g Fn(P)-8 b(.)36 b(Boringhieri)d(ed.,)j(T)-8 b(orino)35 b(\(1980\),)k(seconda)d (edizione)308 2647 y(\(1986\),)d(pp.)d(498{516)212 2834 y([2])47 b(Gauss)30 b(C.F.:)g Fd(Theory)g(of)g(the)g(Motion)h(of)f(the) g(Hea)m(v)m(enly)h(Bo)s(dies)e(Mo)m(ving)i(ab)s(out)f(the)g(Sun)e(in)h (Conic)308 2947 y(Sections,)h Fn(Do)m(v)m(er)i(Publ.)d(New)i(Y)-8 b(ork)31 b(\(1963\),)i(original)28 b(v)m(ersion:)i(1809)212 3135 y([3])47 b(Gauss)30 b(C.F.:)h(in)e(Gotting.)i(Gelehrte)g (Anzeigen,)f Fo(144)p Fn(,)i(1433{1438)i(\(1817\))212 3322 y([4])47 b(Laplace)32 b(P)-8 b(.S.:)33 b Fd(Memoires)f(de)g (l'Acad)m(\023)-43 b(emie)33 b(Ro)m(y)m(ale)h(des)e(Sciences)g(de)g(P)m (aris,)g Fn(Collected)g(W)-8 b(orks,)34 b Fo(10)p Fn(,)308 3435 y(93{146)f(\(1780\))212 3623 y([5])47 b(Levi{Civita)42 b(T.:)i Fd(Sopra)g(la)g(equazione)g(di)f(Kepler,)g Fn(Rendicon)m(ti)g (Acc.)i(Nazionale)f(Lincei,)f Fo(XI)s(I)s(I)p Fn(,)308 3736 y(260{268)34 b(\(1904\))212 3924 y([6])47 b(Moulton)22 b(F.R.:)i Fd(An)e(In)m(tro)s(duction)f(to)j(Celestial)d(Mec)m(hanics,)i Fn(The)g(Macmillan)e(Compan)m(y)-8 b(,)23 b(New)g(Y)-8 b(ork)308 4036 y(\(1914\))212 4224 y([7])47 b(Mossotti)38 b(O.F.:)h Fd(Sopra)e(la)g(Determinazione)h(delle)e(Orbite)h(dei)g (Corpi)f(Celesti)h(p)s(er)f(Mezzo)k(di)c(T)-8 b(re)308 4337 y(Osserv)j(azioni,)33 b(Scritti,)g Fn(Pisa,)h(Dom)m(us)h (Galileana)e(\(1942\),)k(original)32 b(v)m(ersion:)i("Memoria)h(P)m (ostuma",)308 4450 y(1866)212 4638 y([8])47 b(Mossotti)32 b(O.F.:)h Fd(Nuo)m(v)-5 b(a)32 b(analisi)e(del)h(problema)g(di)f (determinare)h(le)g(orbite)h(dei)e(corpi)h(celesti)h([1816-)308 4750 y(1818],)h(Scritti,)c Fn(Pisa,)h(Dom)m(us)h(Galileana)e(\(1942\)) 212 4938 y([9])47 b(v)m(on)k(Zac)m(h)h(F.X.:)h Fd(F)-8 b(ortgesetzte)56 b(Nac)m(hric)m(h)m(ten)f(\177)-48 b(ub)s(er)50 b(den)h(l\177)-45 b(angst)52 b(v)m(erm)m(utheten)g(neuen)f(Haupt{)308 5051 y(Planeten)30 b(unseres)g(Sonnen{Systems,)f Fn(Monatlic)m(he)i (Corresp)s(ondenz,)e(279{283,)34 b(Septem)m(b)s(er)29 b(\(1801\))212 5239 y([10])47 b(Small-Bo)s(dy)29 b(Orbital)f(Elemen)m (ts)i(T)-8 b(able)30 b(at)h(h)m(ttp://ssd.jpl.nasa.go)m(v/cgi-)i (bin/et)2033 5964 y(39)p eop %%Page: 40 40 40 39 bop 1074 2276 a @beginspecial 50 @llx 50 @lly 654 @urx 482 @ury 2409 @rwi @setspecial %%BeginDocument: fig1.ps 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userlinewidth 2 mul setlinewidth } def /AL { stroke userlinewidth 2 div setlinewidth } def /UL { dup gnulinewidth mul /userlinewidth exch def 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 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1150 1909 Pnt 1223 1970 Pnt 1294 2028 Pnt 1363 2085 Pnt 1430 2141 Pnt 1494 2195 Pnt 1557 2247 Pnt 1617 2298 Pnt 1675 2347 Pnt 1730 2396 Pnt 1784 2442 Pnt 1678 2338 Pnt 1579 2260 Pnt 1482 2182 Pnt 1388 2105 Pnt 1296 2030 Pnt 1207 1957 Pnt 1120 1885 Pnt 1037 1815 Pnt 955 1746 Pnt 966 1737 Pnt 1044 1802 Pnt 1120 1865 Pnt 1194 1927 Pnt 1266 1986 Pnt 1336 2044 Pnt 1404 2101 Pnt 1470 2156 Pnt 1534 2209 Pnt 1595 2261 Pnt 1654 2312 Pnt 1711 2361 Pnt 1863 2465 Pnt 1760 2385 Pnt 1660 2306 Pnt 1561 2228 Pnt 1465 2151 Pnt 1372 2076 Pnt 1281 2001 Pnt 1193 1928 Pnt 1107 1857 Pnt 1024 1788 Pnt 944 1720 Pnt 1012 1756 Pnt 1089 1820 Pnt 1164 1883 Pnt 1237 1944 Pnt 1309 2003 Pnt 1378 2060 Pnt 1445 2116 Pnt 1510 2171 Pnt 1573 2224 Pnt 1633 2275 Pnt 2050 2590 Pnt 1946 2511 Pnt 1843 2432 Pnt 1741 2353 Pnt 1641 2275 Pnt 1544 2197 Pnt 1449 2121 Pnt 1356 2046 Pnt 1266 1972 Pnt 1179 1900 Pnt 1094 1830 Pnt 1012 1761 Pnt 980 1721 Pnt 1058 1775 Pnt 1134 1838 Pnt 1208 1900 Pnt 1281 1961 Pnt 1351 2019 Pnt 1419 2076 Pnt 1486 2132 Pnt 1550 2186 Pnt 2233 2709 Pnt 2131 2633 Pnt 2028 2556 Pnt 1925 2478 Pnt 1823 2399 Pnt 1722 2321 Pnt 1623 2243 Pnt 1527 2166 Pnt 1433 2091 Pnt 1341 2016 Pnt 1252 1944 Pnt 1166 1872 Pnt 1082 1802 Pnt 1000 1734 Pnt 1027 1729 Pnt 1104 1793 Pnt 1179 1856 Pnt 1252 1918 Pnt 1324 1977 Pnt 1393 2035 Pnt 1461 2092 Pnt 2405 2816 Pnt 2311 2747 Pnt 2211 2675 Pnt 2110 2599 Pnt 2007 2522 Pnt 1905 2445 Pnt 1803 2367 Pnt 1703 2289 Pnt 1606 2212 Pnt 1510 2136 Pnt 1417 2061 Pnt 1326 1987 Pnt 1238 1915 Pnt 1152 1844 Pnt 1069 1775 Pnt 995 1711 Pnt 1073 1747 Pnt 1149 1811 Pnt 1224 1874 Pnt 1296 1935 Pnt 1367 1994 Pnt 2555 2903 Pnt 2474 2847 Pnt 2385 2783 Pnt 2289 2714 Pnt 2190 2641 Pnt 2088 2566 Pnt 1986 2489 Pnt 1885 2412 Pnt 1784 2334 Pnt 1685 2257 Pnt 1588 2181 Pnt 1494 2105 Pnt 1401 2031 Pnt 1311 1958 Pnt 1224 1887 Pnt 1139 1817 Pnt 1057 1748 Pnt 1042 1719 Pnt 1119 1766 Pnt 1195 1829 Pnt 1268 1891 Pnt 2667 2961 Pnt 2609 2922 Pnt 2537 2872 Pnt 2454 2814 Pnt 2364 2749 Pnt 2268 2680 Pnt 2169 2607 Pnt 2067 2532 Pnt 1966 2456 Pnt 1865 2379 Pnt 1765 2302 Pnt 1667 2226 Pnt 1571 2150 Pnt 1477 2075 Pnt 1386 2002 Pnt 1297 1929 Pnt 1211 1858 Pnt 1127 1789 Pnt 1045 1721 Pnt 1089 1727 Pnt 1166 1784 Pnt 2730 2980 Pnt 2701 2964 Pnt 2655 2934 Pnt 2593 2892 Pnt 2519 2841 Pnt 2435 2781 Pnt 2343 2716 Pnt 2247 2646 Pnt 2147 2573 Pnt 2047 2499 Pnt 1946 2423 Pnt 1846 2346 Pnt 1747 2270 Pnt 1650 2194 Pnt 1554 2119 Pnt 1462 2045 Pnt 1371 1972 Pnt 1283 1901 Pnt 1197 1830 Pnt 1114 1762 Pnt 1059 1710 Pnt 2744 2957 Pnt 2744 2965 Pnt 2727 2959 Pnt 2693 2938 Pnt 2642 2906 Pnt 2577 2862 Pnt 2501 2809 Pnt 2415 2749 Pnt 2322 2683 Pnt 2226 2613 Pnt 2127 2540 Pnt 2026 2465 Pnt 1926 2390 Pnt 1827 2314 Pnt 1729 2238 Pnt 1632 2163 Pnt 1538 2089 Pnt 1446 2015 Pnt 1356 1943 Pnt 1269 1872 Pnt 1184 1803 Pnt 2716 2894 Pnt 2740 2925 Pnt 2750 2942 Pnt 2745 2946 Pnt 2722 2936 Pnt 2683 2913 Pnt 2629 2877 Pnt 2561 2832 Pnt 2482 2777 Pnt 2395 2716 Pnt 2302 2649 Pnt 2205 2579 Pnt 2106 2507 Pnt 2006 2432 Pnt 1907 2357 Pnt 1808 2282 Pnt 1711 2207 Pnt 1615 2132 Pnt 1522 2058 Pnt 1431 1986 Pnt 1342 1914 Pnt 2661 2795 Pnt 2700 2846 Pnt 2731 2885 Pnt 2750 2912 Pnt 2755 2926 Pnt 2744 2926 Pnt 2716 2912 Pnt 2673 2886 Pnt 2615 2848 Pnt 2544 2801 Pnt 2463 2745 Pnt 2375 2683 Pnt 2281 2616 Pnt 2184 2546 Pnt 2086 2473 Pnt 1986 2399 Pnt 1887 2325 Pnt 1790 2250 Pnt 1693 2175 Pnt 1599 2101 Pnt 1506 2028 Pnt 2594 2663 Pnt 2640 2732 Pnt 2682 2792 Pnt 2718 2839 Pnt 2744 2875 Pnt 2758 2899 Pnt 2757 2908 Pnt 2741 2905 Pnt 2709 2888 Pnt 2661 2859 Pnt 2600 2819 Pnt 2527 2770 Pnt 2444 2713 Pnt 2355 2650 Pnt 2261 2583 Pnt 2164 2513 Pnt 2066 2440 Pnt 1967 2367 Pnt 1869 2292 Pnt 1771 2218 Pnt 1676 2144 Pnt 2533 2500 Pnt 2575 2587 Pnt 2620 2665 Pnt 2663 2731 Pnt 2702 2787 Pnt 2734 2832 Pnt 2755 2864 Pnt 2764 2884 Pnt 2759 2890 Pnt 2738 2883 Pnt 2701 2863 Pnt 2649 2831 Pnt 2584 2789 Pnt 2509 2738 Pnt 2425 2680 Pnt 2335 2617 Pnt 2241 2550 Pnt 2144 2479 Pnt 2046 2407 Pnt 1948 2334 Pnt 1850 2260 Pnt 2848 2514 Pnt 2522 2412 Pnt 2560 2507 Pnt 2602 2591 Pnt 2644 2666 Pnt 2685 2729 Pnt 2720 2782 Pnt 2748 2823 Pnt 2765 2852 Pnt 2769 2868 Pnt 2758 2871 Pnt 2732 2860 Pnt 2691 2837 Pnt 2636 2803 Pnt 2569 2759 Pnt 2491 2707 Pnt 2406 2648 Pnt 2315 2584 Pnt 2221 2517 Pnt 2124 2446 Pnt 2026 2374 Pnt 3676 2769 Pnt 3211 2620 Pnt 2789 2475 Pnt 2550 2420 Pnt 2587 2512 Pnt 2627 2594 Pnt 2668 2666 Pnt 2705 2726 Pnt 2737 2776 Pnt 2761 2813 Pnt 2773 2839 Pnt 2772 2851 Pnt 2757 2850 Pnt 2726 2837 Pnt 2681 2811 Pnt 2622 2775 Pnt 2552 2729 Pnt 2473 2675 Pnt 2387 2616 Pnt 2295 2551 Pnt 2201 2484 Pnt 4651 3034 Pnt 4099 2879 Pnt 3599 2727 Pnt 3145 2580 Pnt 2732 2437 Pnt 2576 2428 Pnt 2613 2517 Pnt 2652 2596 Pnt 2690 2665 Pnt 2725 2722 Pnt 2753 2768 Pnt 2772 2802 Pnt 2780 2824 Pnt 2774 2833 Pnt 2754 2829 Pnt 2719 2812 Pnt 2670 2784 Pnt 2608 2745 Pnt 2536 2698 Pnt 2455 2643 Pnt 2367 2583 Pnt 901 1748 Pnt 976 1814 Pnt 1050 1878 Pnt 1121 1940 Pnt 1190 2001 Pnt 1256 2059 Pnt 1321 2116 Pnt 1384 2172 Pnt 1446 2226 Pnt 1505 2278 Pnt 1563 2328 Pnt 1619 2377 Pnt 1674 2425 Pnt 1728 2471 Pnt 1780 2516 Pnt 1832 2559 Pnt 1882 2601 Pnt 1931 2641 Pnt 1978 2681 Pnt 2025 2718 Pnt 2072 2755 Pnt 951 1804 Pnt 869 1736 Pnt 911 1774 Pnt 986 1839 Pnt 1059 1902 Pnt 1129 1963 Pnt 1200 2023 Pnt 1270 2080 Pnt 1338 2136 Pnt 1404 2190 Pnt 1467 2243 Pnt 1528 2294 Pnt 1587 2344 Pnt 1644 2393 Pnt 1699 2440 Pnt 1751 2486 Pnt 1801 2530 Pnt 1848 2574 Pnt 1894 2616 Pnt 1937 2657 Pnt 1981 2696 Pnt 1087 1922 Pnt 1003 1851 Pnt 921 1781 Pnt 864 1729 Pnt 944 1795 Pnt 1021 1858 Pnt 1097 1920 Pnt 1170 1980 Pnt 1242 2039 Pnt 1311 2096 Pnt 1378 2151 Pnt 1443 2205 Pnt 1505 2257 Pnt 1566 2308 Pnt 1624 2357 Pnt 1680 2406 Pnt 1733 2452 Pnt 1785 2498 Pnt 1834 2542 Pnt 1881 2585 Pnt 1926 2627 Pnt 1249 2041 Pnt 1160 1967 Pnt 1074 1895 Pnt 990 1824 Pnt 909 1755 Pnt 910 1748 Pnt 989 1813 Pnt 1065 1876 Pnt 1140 1937 Pnt 1213 1997 Pnt 1283 2055 Pnt 1352 2111 Pnt 1418 2166 Pnt 1482 2219 Pnt 1543 2271 Pnt 1603 2322 Pnt 1660 2371 Pnt 1715 2418 Pnt 1768 2465 Pnt 1819 2510 Pnt 1867 2554 Pnt 1419 2164 Pnt 1325 2087 Pnt 1234 2012 Pnt 1146 1939 Pnt 1061 1867 Pnt 978 1797 Pnt 898 1729 Pnt 956 1767 Pnt 1033 1831 Pnt 1109 1893 Pnt 1183 1954 Pnt 1255 2013 Pnt 1325 2071 Pnt 1392 2127 Pnt 1457 2181 Pnt 1520 2234 Pnt 1581 2285 Pnt 1640 2335 Pnt 1697 2384 Pnt 1751 2431 Pnt 1803 2477 Pnt 1596 2289 Pnt 1498 2210 Pnt 1402 2133 Pnt 1310 2058 Pnt 1220 1983 Pnt 1133 1911 Pnt 1048 1840 Pnt 966 1771 Pnt 922 1724 Pnt 1001 1785 Pnt 1078 1849 Pnt 1153 1911 Pnt 1226 1971 Pnt 1297 2030 Pnt 1366 2087 Pnt 1432 2142 Pnt 1497 2196 Pnt 1559 2248 Pnt 1619 2299 Pnt 1677 2349 Pnt 1733 2397 Pnt 1779 2416 Pnt 1677 2336 Pnt 1578 2257 Pnt 1481 2180 Pnt 1386 2103 Pnt 1295 2028 Pnt 1206 1955 Pnt 1119 1883 Pnt 1035 1813 Pnt 954 1744 Pnt 969 1739 Pnt 1046 1803 Pnt 1123 1867 Pnt 1197 1928 Pnt 1269 1988 Pnt 1339 2046 Pnt 1407 2102 Pnt 1472 2157 Pnt 1536 2210 Pnt 1597 2262 Pnt 1657 2313 Pnt 1965 2542 Pnt 1861 2463 Pnt 1759 2383 Pnt 1658 2304 Pnt 1560 2226 Pnt 1464 2149 Pnt 1370 2074 Pnt 1280 1999 Pnt 1192 1927 Pnt 1106 1855 Pnt 1023 1786 Pnt 943 1718 Pnt 1015 1757 Pnt 1092 1822 Pnt 1167 1884 Pnt 1240 1945 Pnt 1311 2004 Pnt 1380 2062 Pnt 1448 2118 Pnt 1512 2172 Pnt 1575 2225 Pnt 2152 2665 Pnt 2048 2588 Pnt 1944 2509 Pnt 1841 2430 Pnt 1740 2351 Pnt 1640 2273 Pnt 1543 2195 Pnt 1447 2119 Pnt 1355 2044 Pnt 1265 1970 Pnt 1178 1898 Pnt 1093 1828 Pnt 1011 1759 Pnt 983 1721 Pnt 1061 1776 Pnt 1137 1840 Pnt 1211 1902 Pnt 1283 1962 Pnt 1354 2020 Pnt 1422 2077 Pnt 1488 2133 Pnt 2331 2779 Pnt 2232 2707 Pnt 2130 2631 Pnt 2027 2554 Pnt 1924 2476 Pnt 1821 2397 Pnt 1721 2319 Pnt 1622 2241 Pnt 1525 2164 Pnt 1431 2089 Pnt 1340 2015 Pnt 1251 1942 Pnt 1164 1870 Pnt 1081 1800 Pnt 999 1732 Pnt 1029 1730 Pnt 1106 1794 Pnt 1182 1858 Pnt 1255 1919 Pnt 1327 1979 Pnt 1396 2037 Pnt 2492 2877 Pnt 2404 2814 Pnt 2309 2745 Pnt 2210 2673 Pnt 2108 2597 Pnt 2006 2520 Pnt 1903 2442 Pnt 1802 2364 Pnt 1702 2287 Pnt 1604 2210 Pnt 1509 2134 Pnt 1416 2059 Pnt 1325 1985 Pnt 1237 1913 Pnt 1151 1842 Pnt 1068 1773 Pnt 998 1712 Pnt 1076 1749 Pnt 1152 1813 Pnt 1226 1875 Pnt 1299 1936 Pnt 2622 2949 Pnt 2553 2902 Pnt 2473 2845 Pnt 2383 2781 Pnt 2288 2712 Pnt 2188 2639 Pnt 2087 2564 Pnt 1985 2487 Pnt 1883 2410 Pnt 1783 2332 Pnt 1684 2255 Pnt 1587 2179 Pnt 1492 2103 Pnt 1400 2029 Pnt 1310 1956 Pnt 1223 1885 Pnt 1138 1815 Pnt 1056 1746 Pnt 1045 1719 Pnt 1122 1767 Pnt 1197 1831 Pnt 2708 2986 Pnt 2666 2959 Pnt 2608 2920 Pnt 2536 2870 Pnt 2453 2812 Pnt 2362 2747 Pnt 2266 2678 Pnt 2167 2605 Pnt 2066 2530 Pnt 1965 2454 Pnt 1864 2377 Pnt 1764 2300 Pnt 1666 2224 Pnt 1570 2148 Pnt 1476 2073 Pnt 1385 2000 Pnt 1296 1927 Pnt 1210 1857 Pnt 1126 1787 Pnt 1044 1719 Pnt 1092 1727 Pnt 2742 2982 Pnt 2730 2979 Pnt 2701 2962 Pnt 2654 2932 Pnt 2592 2890 Pnt 2518 2839 Pnt 2433 2779 Pnt 2342 2714 Pnt 2245 2644 Pnt 2146 2571 Pnt 2045 2497 Pnt 1944 2421 Pnt 1844 2344 Pnt 1745 2268 Pnt 1648 2192 Pnt 1553 2117 Pnt 1460 2043 Pnt 1370 1970 Pnt 1282 1899 Pnt 1196 1829 Pnt 1113 1760 Pnt 2729 2936 Pnt 2745 2957 Pnt 2744 2964 Pnt 2727 2957 Pnt 2692 2937 Pnt 2641 2904 Pnt 2576 2860 Pnt 2499 2807 Pnt 2413 2747 Pnt 2321 2681 Pnt 2224 2611 Pnt 2125 2538 Pnt 2025 2463 Pnt 1925 2388 Pnt 1825 2312 Pnt 1727 2236 Pnt 1631 2161 Pnt 1537 2087 Pnt 1445 2013 Pnt 1355 1941 Pnt 1268 1870 Pnt 2683 2851 Pnt 2717 2894 Pnt 2741 2924 Pnt 2750 2941 Pnt 2745 2945 Pnt 2722 2935 Pnt 2683 2911 Pnt 2628 2876 Pnt 2560 2830 Pnt 2481 2775 Pnt 2393 2714 Pnt 2300 2647 Pnt 2203 2577 Pnt 2105 2504 Pnt 2005 2430 Pnt 1905 2355 Pnt 1807 2280 Pnt 1709 2205 Pnt 1614 2130 Pnt 1521 2056 Pnt 1430 1984 Pnt 2617 2732 Pnt 2662 2794 Pnt 2701 2846 Pnt 2732 2885 Pnt 2750 2911 Pnt 2755 2925 Pnt 2744 2925 Pnt 2716 2911 Pnt 2672 2885 Pnt 2614 2847 Pnt 2543 2799 Pnt 2462 2743 Pnt 2373 2681 Pnt 2280 2614 Pnt 2183 2544 Pnt 2084 2471 Pnt 1985 2397 Pnt 1886 2323 Pnt 1788 2248 Pnt 1692 2173 Pnt 1597 2099 Pnt 2549 2583 Pnt 2596 2663 Pnt 2641 2732 Pnt 2683 2791 Pnt 2719 2839 Pnt 2744 2875 Pnt 2758 2898 Pnt 2757 2907 Pnt 2741 2904 Pnt 2709 2887 Pnt 2661 2858 Pnt 2599 2817 Pnt 2525 2768 Pnt 2443 2711 Pnt 2353 2648 Pnt 2259 2581 Pnt 2163 2510 Pnt 2064 2438 Pnt 1965 2364 Pnt 1867 2290 Pnt 1770 2216 Pnt 2504 2408 Pnt 2534 2500 Pnt 2577 2587 Pnt 2621 2665 Pnt 2664 2731 Pnt 2703 2787 Pnt 2734 2831 Pnt 2756 2863 Pnt 2764 2883 Pnt 2759 2889 Pnt 2737 2882 Pnt 2700 2862 Pnt 2648 2830 Pnt 2583 2788 Pnt 2508 2737 Pnt 2424 2679 Pnt 2334 2615 Pnt 2239 2548 Pnt 2142 2477 Pnt 2044 2405 Pnt 1946 2332 Pnt 3277 2659 Pnt 2845 2512 Pnt 2524 2412 Pnt 2561 2507 Pnt 2603 2591 Pnt 2645 2666 Pnt 2686 2729 Pnt 2721 2782 Pnt 2748 2823 Pnt 2765 2851 Pnt 2769 2867 Pnt 2758 2869 Pnt 2732 2859 Pnt 2691 2836 Pnt 2635 2802 Pnt 2567 2757 Pnt 2490 2705 Pnt 2405 2646 Pnt 2314 2582 Pnt 2219 2515 Pnt 2122 2444 Pnt 4183 2921 Pnt 3672 2767 Pnt 3208 2618 Pnt 2786 2473 Pnt 2551 2421 Pnt 2588 2513 Pnt 2628 2594 Pnt 2669 2666 Pnt 2706 2726 Pnt 2738 2775 Pnt 2761 2813 Pnt 2773 2838 Pnt 2772 2850 Pnt 2756 2849 Pnt 2726 2835 Pnt 2680 2809 Pnt 2621 2773 Pnt 2551 2727 Pnt 2472 2673 Pnt 2385 2614 Pnt 2294 2549 Pnt 967 1791 Pnt 1041 1855 Pnt 1113 1918 Pnt 1182 1979 Pnt 1250 2039 Pnt 1315 2096 Pnt 1379 2152 Pnt 1440 2206 Pnt 1500 2259 Pnt 1558 2310 Pnt 1615 2360 Pnt 1671 2408 Pnt 1724 2454 Pnt 1777 2499 Pnt 1829 2543 Pnt 1879 2585 Pnt 1928 2626 Pnt 1976 2666 Pnt 2023 2704 Pnt 2070 2741 Pnt 2115 2777 Pnt 912 1754 Pnt 902 1750 Pnt 977 1816 Pnt 1051 1880 Pnt 1122 1942 Pnt 1191 2002 Pnt 1257 2061 Pnt 1322 2118 Pnt 1385 2173 Pnt 1446 2227 Pnt 1506 2279 Pnt 1564 2330 Pnt 1620 2379 Pnt 1675 2426 Pnt 1729 2473 Pnt 1781 2517 Pnt 1832 2560 Pnt 1882 2602 Pnt 1931 2643 Pnt 1979 2682 Pnt 2026 2720 Pnt 1033 1873 Pnt 948 1803 Pnt 866 1735 Pnt 912 1775 Pnt 987 1840 Pnt 1060 1904 Pnt 1131 1965 Pnt 1203 2024 Pnt 1273 2082 Pnt 1341 2137 Pnt 1406 2192 Pnt 1470 2244 Pnt 1531 2295 Pnt 1590 2345 Pnt 1646 2394 Pnt 1701 2441 Pnt 1753 2487 Pnt 1803 2531 Pnt 1850 2575 Pnt 1896 2617 Pnt 1939 2658 Pnt 1173 1994 Pnt 1086 1921 Pnt 1001 1849 Pnt 920 1780 Pnt 867 1730 Pnt 946 1796 Pnt 1024 1860 Pnt 1100 1922 Pnt 1173 1982 Pnt 1244 2040 Pnt 1314 2097 Pnt 1381 2152 Pnt 1445 2206 Pnt 1508 2258 Pnt 1568 2309 Pnt 1626 2359 Pnt 1682 2407 Pnt 1736 2453 Pnt 1787 2499 Pnt 1836 2543 Pnt 1883 2586 Pnt 1340 2115 Pnt 1248 2039 Pnt 1159 1965 Pnt 1073 1893 Pnt 989 1822 Pnt 908 1753 Pnt 913 1749 Pnt 991 1814 Pnt 1068 1877 Pnt 1143 1939 Pnt 1215 1998 Pnt 1286 2056 Pnt 1354 2113 Pnt 1420 2167 Pnt 1484 2221 Pnt 1546 2272 Pnt 1605 2323 Pnt 1663 2372 Pnt 1718 2419 Pnt 1770 2466 Pnt 1821 2511 Pnt 1514 2239 Pnt 1417 2162 Pnt 1324 2085 Pnt 1233 2010 Pnt 1145 1937 Pnt 1060 1865 Pnt 977 1795 Pnt 897 1727 Pnt 958 1768 Pnt 1036 1832 Pnt 1112 1895 Pnt 1186 1956 Pnt 1258 2015 Pnt 1327 2072 Pnt 1395 2128 Pnt 1460 2182 Pnt 1523 2235 Pnt 1584 2286 Pnt 1642 2336 Pnt 1699 2385 Pnt 1753 2432 Pnt 1695 2366 Pnt 1594 2287 Pnt 1496 2208 Pnt 1401 2131 Pnt 1308 2056 Pnt 1219 1982 Pnt 1131 1909 Pnt 1047 1838 Pnt 965 1769 Pnt 925 1724 Pnt 1004 1786 Pnt 1081 1850 Pnt 1156 1912 Pnt 1229 1972 Pnt 1300 2031 Pnt 1368 2088 Pnt 1435 2143 Pnt 1499 2197 Pnt 1561 2249 Pnt 1621 2300 Pnt 1679 2350 Pnt 1881 2494 Pnt 1777 2414 Pnt 1676 2334 Pnt 1576 2255 Pnt 1479 2178 Pnt 1385 2101 Pnt 1293 2026 Pnt 1204 1953 Pnt 1118 1881 Pnt 1034 1811 Pnt 953 1742 Pnt 971 1740 Pnt 1049 1805 Pnt 1125 1868 Pnt 1199 1929 Pnt 1271 1989 Pnt 1341 2047 Pnt 1409 2103 Pnt 1475 2158 Pnt 1538 2212 Pnt 1600 2263 Pnt 2068 2619 Pnt 1964 2540 Pnt 1860 2461 Pnt 1758 2381 Pnt 1657 2302 Pnt 1559 2224 Pnt 1463 2147 Pnt 1369 2072 Pnt 1278 1997 Pnt 1190 1925 Pnt 1105 1853 Pnt 1022 1784 Pnt 942 1716 Pnt 1017 1759 Pnt 1095 1823 Pnt 1170 1886 Pnt 1243 1946 Pnt 1314 2005 Pnt 1383 2063 Pnt 1450 2119 Pnt 1515 2173 Pnt 2252 2739 Pnt 2150 2663 Pnt 2047 2585 Pnt 1943 2507 Pnt 1840 2428 Pnt 1738 2349 Pnt 1639 2271 Pnt 1541 2193 Pnt 1446 2117 Pnt 1354 2042 Pnt 1264 1968 Pnt 1177 1896 Pnt 1092 1826 Pnt 1010 1757 Pnt 986 1722 Pnt 1063 1777 Pnt 1140 1841 Pnt 1214 1903 Pnt 1286 1963 Pnt 1356 2022 Pnt 1425 2079 Pnt 2423 2845 Pnt 2329 2777 Pnt 2230 2705 Pnt 2128 2629 Pnt 2025 2552 Pnt 1922 2473 Pnt 1820 2395 Pnt 1719 2317 Pnt 1621 2239 Pnt 1524 2162 Pnt 1430 2087 Pnt 1339 2013 Pnt 1250 1940 Pnt 1163 1868 Pnt 1079 1799 Pnt 998 1730 Pnt 1032 1731 Pnt 1109 1796 Pnt 1184 1859 Pnt 1258 1920 Pnt 1329 1980 Pnt 2569 2931 Pnt 2491 2875 Pnt 2403 2812 Pnt 2308 2743 Pnt 2208 2671 Pnt 2107 2595 Pnt 2004 2518 Pnt 1902 2440 Pnt 1801 2362 Pnt 1701 2285 Pnt 1603 2208 Pnt 1507 2132 Pnt 1414 2057 Pnt 1324 1983 Pnt 1236 1911 Pnt 1150 1841 Pnt 1067 1771 Pnt 1001 1712 Pnt 1079 1750 Pnt 1155 1814 Pnt 1229 1877 Pnt 2676 2984 Pnt 2621 2948 Pnt 2552 2900 Pnt 2471 2843 Pnt 2382 2779 Pnt 2286 2710 Pnt 2187 2637 Pnt 2086 2561 Pnt 1984 2485 Pnt 1882 2407 Pnt 1781 2330 Pnt 1682 2253 Pnt 1586 2177 Pnt 1491 2101 Pnt 1399 2027 Pnt 1309 1954 Pnt 1222 1883 Pnt 1137 1813 Pnt 1055 1744 Pnt 1048 1720 Pnt 1125 1769 Pnt 2732 2998 Pnt 2707 2985 Pnt 2665 2958 Pnt 2607 2918 Pnt 2535 2868 Pnt 2452 2810 Pnt 2361 2745 Pnt 2265 2676 Pnt 2166 2603 Pnt 2065 2528 Pnt 1963 2452 Pnt 1862 2375 Pnt 1763 2298 Pnt 1665 2222 Pnt 1569 2146 Pnt 1475 2071 Pnt 1384 1998 Pnt 1295 1925 Pnt 1208 1855 Pnt 1125 1785 Pnt 1043 1718 Pnt 2737 2970 Pnt 2742 2981 Pnt 2730 2978 Pnt 2700 2961 Pnt 2653 2930 Pnt 2591 2889 Pnt 2516 2837 Pnt 2432 2778 Pnt 2340 2712 Pnt 2244 2642 Pnt 2145 2569 Pnt 2044 2494 Pnt 1943 2419 Pnt 1843 2342 Pnt 1744 2266 Pnt 1647 2190 Pnt 1552 2115 Pnt 1459 2041 Pnt 1369 1968 Pnt 1281 1897 Pnt 1195 1827 Pnt 2702 2901 Pnt 2730 2935 Pnt 2745 2956 Pnt 2744 2963 Pnt 2726 2956 Pnt 2692 2936 Pnt 2640 2903 Pnt 2575 2858 Pnt 2498 2805 Pnt 2412 2745 Pnt 2320 2679 Pnt 2223 2609 Pnt 2124 2536 Pnt 2023 2461 Pnt 1923 2386 Pnt 1824 2310 Pnt 1726 2234 Pnt 1630 2159 Pnt 1535 2085 Pnt 1444 2011 Pnt 1354 1939 Pnt 2641 2796 Pnt 2683 2851 Pnt 2718 2893 Pnt 2741 2923 Pnt 2751 2940 Pnt 2744 2944 Pnt 2722 2933 Pnt 2682 2910 Pnt 2627 2874 Pnt 2559 2828 Pnt 2479 2773 Pnt 2392 2712 Pnt 2299 2645 Pnt 2202 2575 Pnt 2103 2502 Pnt 2003 2428 Pnt 1904 2353 Pnt 1805 2278 Pnt 1708 2203 Pnt 1613 2128 Pnt 1519 2054 Pnt 2570 2660 Pnt 2618 2732 Pnt 2663 2794 Pnt 2702 2845 Pnt 2732 2884 Pnt 2751 2911 Pnt 2755 2924 Pnt 2743 2924 Pnt 2715 2910 Pnt 2671 2883 Pnt 2613 2845 Pnt 2542 2797 Pnt 2461 2741 Pnt 2372 2679 Pnt 2278 2612 Pnt 2181 2542 Pnt 2083 2469 Pnt 1984 2395 Pnt 1885 2321 Pnt 1787 2246 Pnt 1690 2171 Pnt 2507 2493 Pnt 2551 2583 Pnt 2597 2663 Pnt 2642 2732 Pnt 2684 2791 Pnt 2719 2839 Pnt 2745 2874 Pnt 2758 2897 Pnt 2757 2906 Pnt 2741 2902 Pnt 2708 2885 Pnt 2660 2856 Pnt 2598 2816 Pnt 2524 2766 Pnt 2442 2709 Pnt 2352 2646 Pnt 2258 2579 Pnt 2161 2508 Pnt 2063 2436 Pnt 1964 2362 Pnt 1866 2288 Pnt 2904 2549 Pnt 2502 2406 Pnt 2535 2500 Pnt 2578 2587 Pnt 2622 2664 Pnt 2665 2731 Pnt 2704 2787 Pnt 2735 2831 Pnt 2756 2863 Pnt 2764 2882 Pnt 2758 2888 Pnt 2737 2880 Pnt 2699 2860 Pnt 2647 2828 Pnt 2582 2786 Pnt 2507 2735 Pnt 2422 2677 Pnt 2332 2613 Pnt 2238 2546 Pnt 2141 2475 Pnt 2043 2403 Pnt 3748 2808 Pnt 3274 2657 Pnt 2842 2510 Pnt 2525 2412 Pnt 2562 2507 Pnt 2604 2591 Pnt 2647 2665 Pnt 2687 2729 Pnt 2722 2781 Pnt 2749 2822 Pnt 2766 2850 Pnt 2769 2866 Pnt 2758 2868 Pnt 2732 2857 Pnt 2690 2834 Pnt 2634 2800 Pnt 2566 2756 Pnt 2489 2703 Pnt 2403 2644 Pnt 2312 2580 Pnt 2218 2513 Pnt 1033 1833 Pnt 1105 1896 Pnt 1175 1958 Pnt 1243 2018 Pnt 1309 2076 Pnt 1373 2132 Pnt 1435 2187 Pnt 1495 2240 Pnt 1554 2292 Pnt 1611 2342 Pnt 1667 2391 Pnt 1721 2438 Pnt 1774 2483 Pnt 1825 2527 Pnt 1876 2570 Pnt 1925 2611 Pnt 1974 2651 Pnt 2021 2690 Pnt 2068 2727 Pnt 2113 2763 Pnt 2158 2798 Pnt 892 1727 Pnt 968 1793 Pnt 1042 1857 Pnt 1114 1920 Pnt 1183 1981 Pnt 1251 2040 Pnt 1316 2098 Pnt 1379 2154 Pnt 1441 2208 Pnt 1501 2261 Pnt 1559 2312 Pnt 1616 2361 Pnt 1671 2409 Pnt 1725 2456 Pnt 1778 2501 Pnt 1829 2544 Pnt 1879 2587 Pnt 1929 2628 Pnt 1977 2667 Pnt 2024 2705 Pnt 2070 2742 Pnt 993 1821 Pnt 909 1753 Pnt 903 1752 Pnt 978 1818 Pnt 1052 1881 Pnt 1123 1943 Pnt 1191 2004 Pnt 1258 2063 Pnt 1323 2120 Pnt 1386 2175 Pnt 1447 2229 Pnt 1507 2281 Pnt 1564 2331 Pnt 1621 2380 Pnt 1676 2428 Pnt 1729 2474 Pnt 1782 2518 Pnt 1833 2562 Pnt 1883 2603 Pnt 1932 2644 Pnt 1980 2683 Pnt 1116 1943 Pnt 1030 1871 Pnt 946 1801 Pnt 863 1733 Pnt 913 1777 Pnt 988 1842 Pnt 1061 1905 Pnt 1133 1966 Pnt 1205 2025 Pnt 1275 2083 Pnt 1343 2139 Pnt 1409 2193 Pnt 1472 2245 Pnt 1533 2297 Pnt 1592 2346 Pnt 1649 2395 Pnt 1703 2442 Pnt 1755 2488 Pnt 1805 2532 Pnt 1853 2576 Pnt 1898 2618 Pnt 1262 2066 Pnt 1172 1992 Pnt 1085 1919 Pnt 1000 1847 Pnt 919 1778 Pnt 870 1732 Pnt 949 1797 Pnt 1027 1861 Pnt 1102 1923 Pnt 1176 1983 Pnt 1247 2042 Pnt 1316 2098 Pnt 1383 2154 Pnt 1448 2207 Pnt 1510 2260 Pnt 1570 2310 Pnt 1629 2360 Pnt 1684 2408 Pnt 1738 2454 Pnt 1789 2500 Pnt 1838 2544 Pnt 1433 2190 Pnt 1338 2113 Pnt 1247 2037 Pnt 1158 1963 Pnt 1071 1891 Pnt 988 1820 Pnt 907 1752 Pnt 915 1751 Pnt 994 1816 Pnt 1071 1879 Pnt 1145 1940 Pnt 1218 2000 Pnt 1288 2058 Pnt 1357 2114 Pnt 1423 2169 Pnt 1487 2222 Pnt 1548 2274 Pnt 1608 2324 Pnt 1665 2373 Pnt 1720 2421 Pnt 1773 2467 Pnt 1611 2316 Pnt 1512 2237 Pnt 1416 2160 Pnt 1323 2083 Pnt 1232 2008 Pnt 1144 1935 Pnt 1058 1863 Pnt 976 1794 Pnt 896 1725 Pnt 961 1769 Pnt 1039 1834 Pnt 1115 1896 Pnt 1188 1957 Pnt 1260 2016 Pnt 1330 2073 Pnt 1397 2129 Pnt 1462 2183 Pnt 1525 2236 Pnt 1586 2288 Pnt 1645 2337 Pnt 1701 2386 Pnt 1796 2444 Pnt 1693 2364 Pnt 1593 2285 Pnt 1495 2206 Pnt 1400 2129 Pnt 1307 2054 Pnt 1217 1980 Pnt 1130 1907 Pnt 1046 1836 Pnt 964 1767 Pnt 928 1725 Pnt 1007 1788 Pnt 1084 1852 Pnt 1158 1913 Pnt 1231 1974 Pnt 1302 2032 Pnt 1371 2089 Pnt 1437 2144 Pnt 1502 2198 Pnt 1564 2251 Pnt 1624 2301 Pnt 1984 2572 Pnt 1879 2492 Pnt 1776 2412 Pnt 1674 2332 Pnt 1575 2253 Pnt 1478 2176 Pnt 1384 2099 Pnt 1292 2024 Pnt 1203 1951 Pnt 1117 1879 Pnt 1033 1809 Pnt 952 1740 Pnt 974 1741 Pnt 1052 1806 Pnt 1128 1869 Pnt 1202 1931 Pnt 1274 1990 Pnt 1344 2048 Pnt 1412 2105 Pnt 1477 2159 Pnt 1541 2213 Pnt 2171 2695 Pnt 2067 2617 Pnt 1962 2538 Pnt 1859 2459 Pnt 1756 2379 Pnt 1656 2300 Pnt 1557 2222 Pnt 1461 2145 Pnt 1368 2070 Pnt 1277 1995 Pnt 1189 1923 Pnt 1104 1852 Pnt 1021 1782 Pnt 942 1715 Pnt 1020 1760 Pnt 1097 1824 Pnt 1172 1887 Pnt 1245 1948 Pnt 1317 2007 Pnt 1386 2064 Pnt 1453 2120 Pnt 2350 2809 Pnt 2251 2737 Pnt 2149 2661 Pnt 2045 2583 Pnt 1941 2505 Pnt 1838 2426 Pnt 1737 2347 Pnt 1637 2269 Pnt 1540 2191 Pnt 1445 2115 Pnt 1353 2040 Pnt 1263 1967 Pnt 1176 1895 Pnt 1091 1824 Pnt 1009 1755 Pnt 988 1722 Pnt 1066 1779 Pnt 1142 1842 Pnt 1217 1904 Pnt 1289 1965 Pnt 1359 2023 Pnt 2509 2905 Pnt 2422 2843 Pnt 2328 2775 Pnt 2229 2702 Pnt 2127 2627 Pnt 2024 2550 Pnt 1921 2471 Pnt 1819 2393 Pnt 1718 2315 Pnt 1619 2237 Pnt 1523 2160 Pnt 1429 2085 Pnt 1337 2011 Pnt 1248 1938 Pnt 1162 1866 Pnt 1078 1797 Pnt 997 1729 Pnt 1035 1732 Pnt 1112 1797 Pnt 1187 1860 Pnt 1261 1922 Pnt 2634 2975 Pnt 2568 2929 Pnt 2490 2873 Pnt 2401 2810 Pnt 2306 2741 Pnt 2207 2668 Pnt 2105 2593 Pnt 2003 2516 Pnt 1900 2438 Pnt 1799 2360 Pnt 1699 2283 Pnt 1602 2206 Pnt 1506 2130 Pnt 1413 2055 Pnt 1322 1981 Pnt 1234 1909 Pnt 1149 1839 Pnt 1066 1770 Pnt 1004 1713 Pnt 1081 1751 Pnt 1158 1816 Pnt 2713 3007 Pnt 2675 2983 Pnt 2620 2946 Pnt 2551 2898 Pnt 2470 2841 Pnt 2381 2777 Pnt 2285 2707 Pnt 2185 2635 Pnt 2084 2559 Pnt 1982 2483 Pnt 1880 2405 Pnt 1780 2328 Pnt 1681 2251 Pnt 1584 2175 Pnt 1490 2099 Pnt 1398 2025 Pnt 1308 1952 Pnt 1221 1881 Pnt 1136 1811 Pnt 1054 1743 Pnt 1051 1720 Pnt 2739 2997 Pnt 2732 2997 Pnt 2707 2984 Pnt 2664 2956 Pnt 2606 2917 Pnt 2533 2867 Pnt 2450 2808 Pnt 2360 2743 Pnt 2264 2674 Pnt 2164 2601 Pnt 2063 2526 Pnt 1962 2449 Pnt 1861 2373 Pnt 1761 2296 Pnt 1663 2219 Pnt 1567 2144 Pnt 1474 2069 Pnt 1382 1996 Pnt 1294 1924 Pnt 1207 1853 Pnt 1123 1784 Pnt 2718 2945 Pnt 2738 2969 Pnt 2742 2980 Pnt 2730 2976 Pnt 2699 2959 Pnt 2652 2929 Pnt 2590 2887 Pnt 2515 2835 Pnt 2431 2776 Pnt 2339 2710 Pnt 2242 2640 Pnt 2143 2567 Pnt 2042 2492 Pnt 1942 2416 Pnt 1841 2340 Pnt 1743 2264 Pnt 1646 2188 Pnt 1551 2113 Pnt 1458 2039 Pnt 1367 1966 Pnt 1280 1895 Pnt 2664 2855 Pnt 2703 2901 Pnt 2730 2934 Pnt 2745 2955 Pnt 2744 2962 Pnt 2726 2955 Pnt 2691 2934 Pnt 2640 2901 Pnt 2574 2857 Pnt 2497 2803 Pnt 2411 2743 Pnt 2318 2677 Pnt 2221 2607 Pnt 2122 2534 Pnt 2022 2459 Pnt 1922 2384 Pnt 1822 2308 Pnt 1724 2232 Pnt 1628 2157 Pnt 1534 2083 Pnt 1442 2009 Pnt 2594 2731 Pnt 2642 2796 Pnt 2684 2850 Pnt 2718 2893 Pnt 2742 2923 Pnt 2751 2939 Pnt 2744 2943 Pnt 2721 2932 Pnt 2681 2908 Pnt 2626 2872 Pnt 2557 2826 Pnt 2478 2771 Pnt 2391 2710 Pnt 2298 2643 Pnt 2201 2573 Pnt 2102 2500 Pnt 2002 2426 Pnt 1902 2351 Pnt 1804 2276 Pnt 1707 2201 Pnt 1611 2126 Pnt 2524 2577 Pnt 2572 2660 Pnt 2619 2732 Pnt 2664 2794 Pnt 2703 2845 Pnt 2733 2884 Pnt 2751 2910 Pnt 2755 2923 Pnt 2743 2922 Pnt 2715 2908 Pnt 2671 2882 Pnt 2612 2843 Pnt 2540 2795 Pnt 2459 2739 Pnt 2371 2677 Pnt 2277 2610 Pnt 2180 2540 Pnt 2081 2467 Pnt 1982 2393 Pnt 1883 2318 Pnt 1785 2244 Pnt 2554 2442 Pnt 2508 2493 Pnt 2552 2583 Pnt 2598 2663 Pnt 2643 2732 Pnt 2685 2791 Pnt 2720 2838 Pnt 2745 2873 Pnt 2759 2896 Pnt 2757 2905 Pnt 2740 2901 Pnt 2707 2884 Pnt 2659 2854 Pnt 2597 2814 Pnt 2523 2764 Pnt 2440 2707 Pnt 2351 2644 Pnt 2257 2577 Pnt 2160 2506 Pnt 2061 2434 Pnt 1963 2360 Pnt 3342 2696 Pnt 2901 2547 Pnt 2499 2404 Pnt 2536 2501 Pnt 2579 2588 Pnt 2623 2664 Pnt 2666 2731 Pnt 2705 2786 Pnt 2736 2830 Pnt 2756 2862 Pnt 2765 2881 Pnt 2758 2887 Pnt 2736 2879 Pnt 2699 2859 Pnt 2647 2827 Pnt 2581 2784 Pnt 2505 2733 Pnt 2421 2675 Pnt 2331 2611 Pnt 2236 2544 Pnt 2140 2473 Pnt 1097 1874 Pnt 1167 1936 Pnt 1236 1997 Pnt 1302 2055 Pnt 1367 2112 Pnt 1429 2168 Pnt 1490 2222 Pnt 1549 2274 Pnt 1606 2324 Pnt 1662 2373 Pnt 1717 2421 Pnt 1770 2467 Pnt 1822 2511 Pnt 1873 2554 Pnt 1923 2596 Pnt 1971 2636 Pnt 2019 2675 Pnt 2065 2713 Pnt 2111 2749 Pnt 2156 2785 Pnt 2200 2819 Pnt 959 1770 Pnt 1034 1835 Pnt 1106 1898 Pnt 1176 1960 Pnt 1244 2019 Pnt 1310 2077 Pnt 1373 2134 Pnt 1435 2189 Pnt 1496 2242 Pnt 1554 2293 Pnt 1612 2343 Pnt 1667 2392 Pnt 1722 2439 Pnt 1774 2484 Pnt 1826 2529 Pnt 1877 2571 Pnt 1926 2612 Pnt 1974 2652 Pnt 2022 2691 Pnt 2068 2728 Pnt 2114 2764 Pnt 953 1770 Pnt 893 1728 Pnt 969 1795 Pnt 1043 1859 Pnt 1115 1922 Pnt 1184 1983 Pnt 1251 2042 Pnt 1317 2099 Pnt 1380 2155 Pnt 1442 2209 Pnt 1502 2262 Pnt 1560 2313 Pnt 1617 2363 Pnt 1672 2411 Pnt 1726 2457 Pnt 1779 2502 Pnt 1830 2546 Pnt 1880 2588 Pnt 1929 2629 Pnt 1977 2668 Pnt 2025 2707 Pnt 1075 1890 Pnt 990 1820 Pnt 907 1751 Pnt 904 1754 Pnt 979 1819 Pnt 1053 1883 Pnt 1124 1945 Pnt 1192 2005 Pnt 1259 2064 Pnt 1324 2121 Pnt 1387 2176 Pnt 1448 2230 Pnt 1507 2282 Pnt 1565 2333 Pnt 1622 2382 Pnt 1677 2429 Pnt 1730 2475 Pnt 1782 2520 Pnt 1834 2563 Pnt 1884 2605 Pnt 1932 2645 Pnt 1200 2015 Pnt 1113 1942 Pnt 1027 1870 Pnt 943 1800 Pnt 860 1732 Pnt 914 1779 Pnt 989 1844 Pnt 1062 1907 Pnt 1136 1968 Pnt 1208 2027 Pnt 1278 2084 Pnt 1346 2140 Pnt 1411 2194 Pnt 1475 2247 Pnt 1536 2298 Pnt 1594 2348 Pnt 1651 2396 Pnt 1705 2443 Pnt 1757 2489 Pnt 1807 2533 Pnt 1855 2577 Pnt 1353 2141 Pnt 1260 2064 Pnt 1171 1990 Pnt 1084 1917 Pnt 999 1845 Pnt 918 1776 Pnt 872 1733 Pnt 952 1799 Pnt 1029 1862 Pnt 1105 1924 Pnt 1178 1984 Pnt 1250 2043 Pnt 1319 2100 Pnt 1386 2155 Pnt 1450 2209 Pnt 1513 2261 Pnt 1573 2312 Pnt 1631 2361 Pnt 1687 2409 Pnt 1740 2456 Pnt 1791 2501 Pnt 1529 2266 Pnt 1431 2188 Pnt 1337 2111 Pnt 1245 2035 Pnt 1156 1961 Pnt 1070 1889 Pnt 987 1819 Pnt 906 1750 Pnt 918 1752 Pnt 997 1817 Pnt 1073 1880 Pnt 1148 1941 Pnt 1221 2001 Pnt 1291 2059 Pnt 1359 2115 Pnt 1425 2170 Pnt 1489 2223 Pnt 1551 2275 Pnt 1610 2325 Pnt 1667 2374 Pnt 1722 2422 Pnt 1711 2394 Pnt 1610 2314 Pnt 1511 2235 Pnt 1415 2158 Pnt 1321 2081 Pnt 1231 2006 Pnt 1143 1933 Pnt 1057 1862 Pnt 975 1792 Pnt 895 1724 Pnt 964 1771 Pnt 1042 1835 Pnt 1117 1898 Pnt 1191 1958 Pnt 1263 2017 Pnt 1332 2075 Pnt 1400 2130 Pnt 1465 2185 Pnt 1528 2237 Pnt 1588 2289 Pnt 1647 2339 Pnt 1898 2523 Pnt 1794 2442 Pnt 1692 2362 Pnt 1592 2283 Pnt 1494 2204 Pnt 1398 2127 Pnt 1306 2052 Pnt 1216 1978 Pnt 1129 1905 Pnt 1045 1834 Pnt 963 1765 Pnt 931 1725 Pnt 1009 1789 Pnt 1086 1853 Pnt 1161 1915 Pnt 1234 1975 Pnt 1305 2033 Pnt 1373 2090 Pnt 1440 2146 Pnt 1504 2199 Pnt 1566 2252 Pnt 2087 2649 Pnt 1982 2570 Pnt 1878 2490 Pnt 1774 2410 Pnt 1673 2330 Pnt 1574 2251 Pnt 1477 2174 Pnt 1382 2097 Pnt 1291 2023 Pnt 1202 1949 Pnt 1116 1877 Pnt 1032 1807 Pnt 951 1739 Pnt 977 1743 Pnt 1055 1808 Pnt 1131 1871 Pnt 1205 1932 Pnt 1277 1992 Pnt 1347 2050 Pnt 1414 2106 Pnt 1480 2161 Pnt 2271 2769 Pnt 2169 2693 Pnt 2065 2615 Pnt 1961 2536 Pnt 1857 2456 Pnt 1755 2377 Pnt 1654 2298 Pnt 1556 2220 Pnt 1460 2143 Pnt 1367 2068 Pnt 1276 1993 Pnt 1188 1921 Pnt 1103 1850 Pnt 1020 1780 Pnt 944 1715 Pnt 1023 1762 Pnt 1100 1826 Pnt 1175 1888 Pnt 1248 1949 Pnt 1319 2008 Pnt 1388 2066 Pnt 2441 2874 Pnt 2348 2807 Pnt 2249 2734 Pnt 2147 2659 Pnt 2044 2581 Pnt 1940 2503 Pnt 1837 2424 Pnt 1735 2345 Pnt 1636 2267 Pnt 1539 2189 Pnt 1444 2113 Pnt 1351 2038 Pnt 1262 1965 Pnt 1174 1893 Pnt 1090 1822 Pnt 1008 1753 Pnt 991 1723 Pnt 1069 1780 Pnt 1145 1844 Pnt 1219 1906 Pnt 1291 1966 Pnt 2584 2957 Pnt 2508 2903 Pnt 2421 2841 Pnt 2326 2773 Pnt 2227 2700 Pnt 2125 2625 Pnt 2022 2548 Pnt 1919 2469 Pnt 1817 2391 Pnt 1717 2313 Pnt 1618 2235 Pnt 1522 2158 Pnt 1428 2083 Pnt 1336 2009 Pnt 1247 1936 Pnt 1161 1865 Pnt 1077 1795 Pnt 996 1727 Pnt 1038 1734 Pnt 1115 1799 Pnt 1190 1862 Pnt 2684 3007 Pnt 2633 2973 Pnt 2567 2927 Pnt 2488 2871 Pnt 2400 2808 Pnt 2305 2739 Pnt 2206 2666 Pnt 2104 2591 Pnt 2001 2514 Pnt 1899 2436 Pnt 1798 2358 Pnt 1698 2281 Pnt 1600 2204 Pnt 1505 2128 Pnt 1412 2053 Pnt 1321 1979 Pnt 1233 1907 Pnt 1148 1837 Pnt 1065 1768 Pnt 1007 1713 Pnt 1084 1753 Pnt 2732 3016 Pnt 2712 3006 Pnt 2674 2981 Pnt 2619 2944 Pnt 2550 2896 Pnt 2469 2839 Pnt 2379 2775 Pnt 2283 2705 Pnt 2184 2633 Pnt 2083 2557 Pnt 1981 2481 Pnt 1879 2403 Pnt 1779 2326 Pnt 1680 2249 Pnt 1583 2173 Pnt 1488 2097 Pnt 1396 2023 Pnt 1307 1950 Pnt 1220 1879 Pnt 1135 1809 Pnt 1053 1741 Pnt 2729 2981 Pnt 2739 2996 Pnt 2731 2996 Pnt 2706 2982 Pnt 2663 2955 Pnt 2605 2915 Pnt 2532 2865 Pnt 2449 2806 Pnt 2358 2741 Pnt 2262 2672 Pnt 2163 2599 Pnt 2062 2524 Pnt 1960 2447 Pnt 1859 2371 Pnt 1760 2294 Pnt 1662 2217 Pnt 1566 2142 Pnt 1472 2067 Pnt 1381 1994 Pnt 1292 1922 Pnt 1206 1851 Pnt 2686 2907 Pnt 2718 2944 Pnt 2738 2968 Pnt 2742 2979 Pnt 2729 2975 Pnt 2699 2958 Pnt 2652 2927 Pnt 2589 2885 Pnt 2514 2833 Pnt 2429 2774 Pnt 2337 2708 Pnt 2241 2638 Pnt 2142 2565 Pnt 2041 2490 Pnt 1940 2414 Pnt 1840 2338 Pnt 1741 2262 Pnt 1644 2186 Pnt 1549 2111 Pnt 1457 2037 Pnt 1366 1964 Pnt 2619 2797 Pnt 2665 2854 Pnt 2703 2900 Pnt 2731 2934 Pnt 2745 2954 Pnt 2744 2961 Pnt 2726 2953 Pnt 2690 2933 Pnt 2639 2899 Pnt 2573 2855 Pnt 2496 2801 Pnt 2409 2741 Pnt 2317 2675 Pnt 2220 2604 Pnt 2121 2532 Pnt 2021 2457 Pnt 1920 2382 Pnt 1821 2306 Pnt 1723 2230 Pnt 1627 2155 Pnt 1533 2081 Pnt 2546 2656 Pnt 2595 2731 Pnt 2643 2796 Pnt 2685 2850 Pnt 2719 2892 Pnt 2742 2922 Pnt 2751 2938 Pnt 2744 2941 Pnt 2721 2931 Pnt 2681 2907 Pnt 2625 2871 Pnt 2556 2824 Pnt 2477 2769 Pnt 2389 2708 Pnt 2296 2641 Pnt 2199 2571 Pnt 2100 2498 Pnt 2001 2424 Pnt 1901 2349 Pnt 1802 2274 Pnt 1705 2199 Pnt 2481 2485 Pnt 2525 2577 Pnt 2573 2660 Pnt 2621 2732 Pnt 2665 2794 Pnt 2704 2844 Pnt 2733 2883 Pnt 2751 2909 Pnt 2755 2922 Pnt 2743 2921 Pnt 2714 2907 Pnt 2670 2880 Pnt 2611 2842 Pnt 2539 2793 Pnt 2458 2737 Pnt 2369 2675 Pnt 2276 2608 Pnt 2179 2538 Pnt 2080 2465 Pnt 1981 2391 Pnt 1882 2316 Pnt 2962 2586 Pnt 2551 2440 Pnt 2510 2493 Pnt 2553 2583 Pnt 2599 2663 Pnt 2645 2732 Pnt 2686 2790 Pnt 2721 2838 Pnt 2746 2873 Pnt 2759 2895 Pnt 2757 2904 Pnt 2740 2900 Pnt 2707 2882 Pnt 2658 2853 Pnt 2596 2812 Pnt 2522 2762 Pnt 2439 2705 Pnt 2349 2642 Pnt 2255 2575 Pnt 2158 2504 Pnt 2060 2432 Pnt 1160 1915 Pnt 1229 1976 Pnt 1295 2035 Pnt 1360 2092 Pnt 1423 2148 Pnt 1485 2203 Pnt 1544 2255 Pnt 1602 2306 Pnt 1658 2356 Pnt 1713 2404 Pnt 1767 2450 Pnt 1819 2495 Pnt 1870 2538 Pnt 1920 2581 Pnt 1969 2621 Pnt 2017 2661 Pnt 2063 2699 Pnt 2109 2736 Pnt 2154 2771 Pnt 2199 2805 Pnt 2242 2839 Pnt 1025 1812 Pnt 1098 1876 Pnt 1168 1938 Pnt 1237 1998 Pnt 1303 2057 Pnt 1367 2114 Pnt 1430 2169 Pnt 1491 2223 Pnt 1550 2275 Pnt 1607 2326 Pnt 1663 2375 Pnt 1718 2422 Pnt 1771 2468 Pnt 1823 2512 Pnt 1874 2556 Pnt 1923 2597 Pnt 1972 2638 Pnt 2019 2677 Pnt 2066 2714 Pnt 2112 2751 Pnt 2157 2786 Pnt 914 1722 Pnt 960 1771 Pnt 1035 1836 Pnt 1107 1900 Pnt 1177 1961 Pnt 1245 2021 Pnt 1310 2079 Pnt 1374 2135 Pnt 1436 2190 Pnt 1497 2243 Pnt 1555 2295 Pnt 1612 2345 Pnt 1668 2393 Pnt 1722 2440 Pnt 1775 2486 Pnt 1827 2530 Pnt 1877 2572 Pnt 1927 2614 Pnt 1975 2654 Pnt 2022 2692 Pnt 2069 2729 Pnt 1034 1838 Pnt 950 1769 Pnt 894 1730 Pnt 970 1796 Pnt 1044 1861 Pnt 1116 1923 Pnt 1185 1984 Pnt 1252 2043 Pnt 1318 2101 Pnt 1381 2157 Pnt 1443 2211 Pnt 1502 2264 Pnt 1561 2315 Pnt 1617 2364 Pnt 1673 2412 Pnt 1727 2459 Pnt 1779 2504 Pnt 1831 2547 Pnt 1881 2589 Pnt 1930 2630 Pnt 1978 2670 Pnt 1159 1961 Pnt 1072 1889 Pnt 987 1818 Pnt 904 1750 Pnt 905 1756 Pnt 980 1821 Pnt 1054 1885 Pnt 1124 1947 Pnt 1193 2007 Pnt 1260 2066 Pnt 1325 2123 Pnt 1388 2178 Pnt 1449 2232 Pnt 1508 2284 Pnt 1566 2334 Pnt 1622 2383 Pnt 1677 2431 Pnt 1731 2477 Pnt 1783 2521 Pnt 1834 2564 Pnt 1884 2606 Pnt 1285 2090 Pnt 1197 2014 Pnt 1110 1940 Pnt 1024 1868 Pnt 940 1798 Pnt 858 1730 Pnt 915 1781 Pnt 990 1846 Pnt 1064 1908 Pnt 1139 1969 Pnt 1211 2028 Pnt 1281 2085 Pnt 1348 2141 Pnt 1414 2195 Pnt 1477 2248 Pnt 1538 2299 Pnt 1597 2349 Pnt 1653 2397 Pnt 1707 2444 Pnt 1759 2490 Pnt 1809 2534 Pnt 1447 2216 Pnt 1352 2139 Pnt 1259 2062 Pnt 1169 1988 Pnt 1082 1915 Pnt 998 1844 Pnt 917 1774 Pnt 875 1735 Pnt 955 1800 Pnt 1032 1864 Pnt 1108 1926 Pnt 1181 1986 Pnt 1252 2044 Pnt 1321 2101 Pnt 1388 2156 Pnt 1453 2210 Pnt 1515 2262 Pnt 1575 2313 Pnt 1633 2362 Pnt 1689 2410 Pnt 1742 2457 Pnt 1627 2344 Pnt 1527 2264 Pnt 1430 2186 Pnt 1336 2109 Pnt 1244 2033 Pnt 1155 1959 Pnt 1069 1887 Pnt 986 1817 Pnt 905 1748 Pnt 921 1754 Pnt 1000 1818 Pnt 1076 1881 Pnt 1151 1943 Pnt 1223 2002 Pnt 1294 2060 Pnt 1362 2116 Pnt 1428 2171 Pnt 1491 2224 Pnt 1553 2276 Pnt 1612 2326 Pnt 1669 2375 Pnt 1813 2473 Pnt 1710 2392 Pnt 1608 2312 Pnt 1510 2233 Pnt 1414 2156 Pnt 1320 2079 Pnt 1229 2004 Pnt 1141 1931 Pnt 1056 1860 Pnt 974 1790 Pnt 894 1722 Pnt 967 1772 Pnt 1044 1836 Pnt 1120 1899 Pnt 1194 1960 Pnt 1265 2019 Pnt 1335 2076 Pnt 1402 2132 Pnt 1467 2186 Pnt 1530 2239 Pnt 1591 2290 Pnt 2002 2601 Pnt 1897 2521 Pnt 1793 2440 Pnt 1690 2360 Pnt 1590 2281 Pnt 1492 2202 Pnt 1397 2125 Pnt 1305 2050 Pnt 1215 1976 Pnt 1128 1903 Pnt 1043 1832 Pnt 962 1763 Pnt 934 1726 Pnt 1012 1791 Pnt 1089 1854 Pnt 1164 1916 Pnt 1237 1976 Pnt 1307 2035 Pnt 1376 2092 Pnt 1442 2147 Pnt 1507 2201 Pnt 2190 2725 Pnt 2086 2647 Pnt 1981 2568 Pnt 1876 2487 Pnt 1773 2407 Pnt 1671 2328 Pnt 1572 2249 Pnt 1475 2172 Pnt 1381 2095 Pnt 1290 2021 Pnt 1201 1947 Pnt 1115 1875 Pnt 1031 1805 Pnt 950 1737 Pnt 980 1744 Pnt 1058 1809 Pnt 1134 1872 Pnt 1207 1933 Pnt 1279 1993 Pnt 1349 2051 Pnt 1417 2107 Pnt 2368 2839 Pnt 2270 2766 Pnt 2168 2691 Pnt 2064 2613 Pnt 1959 2534 Pnt 1856 2454 Pnt 1753 2375 Pnt 1653 2296 Pnt 1555 2218 Pnt 1459 2141 Pnt 1365 2066 Pnt 1275 1992 Pnt 1187 1919 Pnt 1102 1848 Pnt 1019 1778 Pnt 947 1716 Pnt 1026 1763 Pnt 1103 1827 Pnt 1178 1890 Pnt 1251 1950 Pnt 1322 2009 Pnt 2525 2934 Pnt 2440 2872 Pnt 2347 2805 Pnt 2248 2732 Pnt 2146 2657 Pnt 2042 2579 Pnt 1938 2500 Pnt 1835 2421 Pnt 1734 2343 Pnt 1635 2264 Pnt 1537 2187 Pnt 1442 2111 Pnt 1350 2036 Pnt 1260 1963 Pnt 1173 1891 Pnt 1089 1820 Pnt 1007 1752 Pnt 994 1723 Pnt 1072 1782 Pnt 1148 1845 Pnt 1222 1907 Pnt 2646 3000 Pnt 2583 2956 Pnt 2506 2902 Pnt 2419 2839 Pnt 2325 2771 Pnt 2226 2698 Pnt 2124 2623 Pnt 2021 2545 Pnt 1918 2467 Pnt 1816 2389 Pnt 1715 2311 Pnt 1617 2233 Pnt 1520 2156 Pnt 1426 2081 Pnt 1335 2007 Pnt 1246 1934 Pnt 1160 1863 Pnt 1076 1793 Pnt 995 1725 Pnt 1041 1735 Pnt 1118 1800 Pnt 2717 3027 Pnt 2683 3006 Pnt 2633 2971 Pnt 2566 2925 Pnt 2487 2869 Pnt 2399 2806 Pnt 2303 2737 Pnt 2204 2664 Pnt 2102 2589 Pnt 2000 2512 Pnt 1898 2434 Pnt 1796 2356 Pnt 1697 2279 Pnt 1599 2202 Pnt 1504 2126 Pnt 1411 2051 Pnt 1320 1978 Pnt 1232 1905 Pnt 1147 1835 Pnt 1064 1766 Pnt 1009 1714 Pnt 2734 3011 Pnt 2732 3015 Pnt 2712 3004 Pnt 2674 2980 Pnt 2618 2942 Pnt 2549 2894 Pnt 2468 2837 Pnt 2378 2773 Pnt 2282 2703 Pnt 2183 2630 Pnt 2081 2555 Pnt 1979 2479 Pnt 1878 2401 Pnt 1777 2324 Pnt 1678 2247 Pnt 1582 2171 Pnt 1487 2095 Pnt 1395 2021 Pnt 1305 1949 Pnt 1218 1877 Pnt 1134 1807 Pnt 2705 2953 Pnt 2729 2981 Pnt 2739 2995 Pnt 2731 2995 Pnt 2706 2981 Pnt 2663 2953 Pnt 2604 2913 Pnt 2531 2863 Pnt 2448 2804 Pnt 2357 2739 Pnt 2261 2670 Pnt 2161 2597 Pnt 2060 2522 Pnt 1959 2445 Pnt 1858 2369 Pnt 1758 2292 Pnt 1660 2215 Pnt 1565 2140 Pnt 1471 2065 Pnt 1380 1992 Pnt 1291 1920 Pnt 2645 2857 Pnt 2687 2906 Pnt 2719 2943 Pnt 2738 2967 Pnt 2742 2978 Pnt 2729 2974 Pnt 2698 2956 Pnt 2651 2926 Pnt 2588 2883 Pnt 2513 2831 Pnt 2428 2772 Pnt 2336 2706 Pnt 2240 2636 Pnt 2140 2563 Pnt 2040 2488 Pnt 1939 2412 Pnt 1839 2336 Pnt 1740 2260 Pnt 1643 2184 Pnt 1548 2109 Pnt 1455 2035 Pnt 2570 2729 Pnt 2621 2797 Pnt 2666 2854 Pnt 2704 2900 Pnt 2732 2933 Pnt 2746 2953 Pnt 2744 2960 Pnt 2725 2952 Pnt 2690 2931 Pnt 2638 2898 Pnt 2572 2853 Pnt 2494 2800 Pnt 2408 2739 Pnt 2315 2673 Pnt 2219 2602 Pnt 2119 2530 Pnt 2019 2455 Pnt 1919 2380 Pnt 1820 2304 Pnt 1722 2228 Pnt 1626 2153 Pnt 2498 2571 Pnt 2547 2656 Pnt 2597 2731 Pnt 2644 2796 Pnt 2686 2850 Pnt 2720 2892 Pnt 2742 2921 Pnt 2751 2938 Pnt 2744 2940 Pnt 2720 2929 Pnt 2680 2905 Pnt 2624 2869 Pnt 2555 2823 Pnt 2476 2768 Pnt 2388 2706 Pnt 2295 2639 Pnt 2198 2569 Pnt 2099 2496 Pnt 1999 2422 Pnt 1900 2347 Pnt 1801 2272 Pnt 2606 2477 Pnt 2482 2485 Pnt 2527 2578 Pnt 2574 2660 Pnt 2622 2732 Pnt 2666 2793 Pnt 2705 2844 Pnt 2734 2882 Pnt 2752 2908 Pnt 2755 2921 Pnt 2743 2920 Pnt 2714 2905 Pnt 2669 2878 Pnt 2610 2840 Pnt 2538 2792 Pnt 2457 2735 Pnt 2368 2673 Pnt 2274 2606 Pnt 2177 2536 Pnt 2079 2463 Pnt 1979 2389 Pnt 1221 1955 Pnt 1289 2014 Pnt 1354 2072 Pnt 1418 2129 Pnt 1479 2184 Pnt 1539 2237 Pnt 1597 2288 Pnt 1654 2338 Pnt 1709 2386 Pnt 1763 2433 Pnt 1816 2479 Pnt 1867 2523 Pnt 1917 2565 Pnt 1966 2606 Pnt 2014 2646 Pnt 2061 2685 Pnt 2107 2722 Pnt 2153 2758 Pnt 2197 2792 Pnt 2241 2826 Pnt 2283 2858 Pnt 1089 1854 Pnt 1161 1916 Pnt 1229 1977 Pnt 1296 2037 Pnt 1361 2094 Pnt 1424 2150 Pnt 1485 2204 Pnt 1545 2257 Pnt 1603 2308 Pnt 1659 2357 Pnt 1714 2405 Pnt 1767 2451 Pnt 1820 2496 Pnt 1871 2540 Pnt 1921 2582 Pnt 1969 2623 Pnt 2017 2662 Pnt 2064 2700 Pnt 2110 2737 Pnt 2155 2772 Pnt 2199 2807 Pnt 951 1748 Pnt 1026 1814 Pnt 1099 1878 Pnt 1169 1940 Pnt 1238 2000 Pnt 1304 2059 Pnt 1368 2116 Pnt 1431 2171 Pnt 1491 2225 Pnt 1550 2277 Pnt 1608 2327 Pnt 1664 2376 Pnt 1718 2423 Pnt 1772 2469 Pnt 1824 2514 Pnt 1874 2557 Pnt 1924 2598 Pnt 1973 2639 Pnt 2020 2678 Pnt 2067 2715 Pnt 2112 2752 Pnt 994 1787 Pnt 911 1722 Pnt 961 1773 Pnt 1036 1838 Pnt 1108 1901 Pnt 1178 1963 Pnt 1245 2023 Pnt 1311 2081 Pnt 1375 2137 Pnt 1437 2192 Pnt 1497 2245 Pnt 1556 2296 Pnt 1613 2346 Pnt 1669 2395 Pnt 1723 2442 Pnt 1776 2487 Pnt 1827 2531 Pnt 1878 2574 Pnt 1927 2615 Pnt 1976 2655 Pnt 2023 2693 Pnt 1117 1908 Pnt 1031 1837 Pnt 947 1767 Pnt 895 1732 Pnt 971 1798 Pnt 1045 1862 Pnt 1117 1925 Pnt 1186 1986 Pnt 1253 2045 Pnt 1318 2103 Pnt 1382 2158 Pnt 1443 2213 Pnt 1503 2265 Pnt 1561 2316 Pnt 1618 2366 Pnt 1673 2413 Pnt 1727 2460 Pnt 1780 2505 Pnt 1831 2548 Pnt 1881 2591 Pnt 1931 2631 Pnt 1244 2034 Pnt 1156 1960 Pnt 1069 1887 Pnt 984 1817 Pnt 901 1748 Pnt 906 1757 Pnt 981 1823 Pnt 1054 1887 Pnt 1125 1949 Pnt 1194 2009 Pnt 1261 2067 Pnt 1326 2124 Pnt 1388 2180 Pnt 1449 2233 Pnt 1509 2285 Pnt 1567 2336 Pnt 1623 2385 Pnt 1678 2432 Pnt 1732 2478 Pnt 1784 2523 Pnt 1835 2566 Pnt 1372 2166 Pnt 1282 2088 Pnt 1194 2012 Pnt 1107 1938 Pnt 1021 1867 Pnt 937 1797 Pnt 855 1729 Pnt 916 1783 Pnt 991 1847 Pnt 1067 1910 Pnt 1141 1970 Pnt 1213 2029 Pnt 1283 2087 Pnt 1351 2142 Pnt 1416 2196 Pnt 1479 2249 Pnt 1540 2300 Pnt 1599 2350 Pnt 1655 2398 Pnt 1710 2445 Pnt 1761 2491 Pnt 1544 2294 Pnt 1446 2214 Pnt 1350 2137 Pnt 1258 2060 Pnt 1168 1986 Pnt 1081 1913 Pnt 997 1842 Pnt 915 1772 Pnt 878 1736 Pnt 957 1802 Pnt 1035 1865 Pnt 1110 1927 Pnt 1184 1987 Pnt 1255 2045 Pnt 1324 2102 Pnt 1391 2157 Pnt 1455 2211 Pnt 1517 2263 Pnt 1578 2314 Pnt 1635 2363 Pnt 1691 2411 Pnt 1728 2423 Pnt 1626 2342 Pnt 1526 2262 Pnt 1429 2184 Pnt 1334 2107 Pnt 1243 2031 Pnt 1154 1958 Pnt 1068 1885 Pnt 985 1815 Pnt 904 1746 Pnt 924 1755 Pnt 1002 1820 Pnt 1079 1883 Pnt 1153 1944 Pnt 1226 2004 Pnt 1296 2061 Pnt 1364 2118 Pnt 1430 2172 Pnt 1494 2226 Pnt 1555 2277 Pnt 1615 2327 Pnt 1917 2552 Pnt 1811 2471 Pnt 1708 2390 Pnt 1607 2310 Pnt 1508 2231 Pnt 1412 2154 Pnt 1319 2077 Pnt 1228 2003 Pnt 1140 1929 Pnt 1055 1858 Pnt 973 1788 Pnt 893 1720 Pnt 970 1774 Pnt 1047 1838 Pnt 1123 1900 Pnt 1196 1961 Pnt 1268 2020 Pnt 1337 2077 Pnt 1405 2133 Pnt 1470 2187 Pnt 1533 2240 Pnt 2106 2679 Pnt 2001 2599 Pnt 1895 2519 Pnt 1791 2438 Pnt 1689 2358 Pnt 1589 2279 Pnt 1491 2200 Pnt 1396 2123 Pnt 1303 2048 Pnt 1214 1974 Pnt 1127 1901 Pnt 1042 1831 Pnt 961 1761 Pnt 936 1727 Pnt 1015 1792 Pnt 1092 1856 Pnt 1167 1918 Pnt 1239 1978 Pnt 1310 2036 Pnt 1378 2093 Pnt 1445 2148 Pnt 2291 2799 Pnt 2188 2723 Pnt 2084 2645 Pnt 1979 2565 Pnt 1875 2485 Pnt 1771 2405 Pnt 1670 2326 Pnt 1571 2247 Pnt 1474 2170 Pnt 1380 2093 Pnt 1288 2019 Pnt 1200 1945 Pnt 1113 1874 Pnt 1030 1803 Pnt 949 1735 Pnt 983 1746 Pnt 1060 1810 Pnt 1136 1873 Pnt 1210 1935 Pnt 1282 1994 Pnt 1352 2052 Pnt 2459 2903 Pnt 2367 2837 Pnt 2268 2764 Pnt 2166 2689 Pnt 2062 2611 Pnt 1958 2532 Pnt 1854 2452 Pnt 1752 2373 Pnt 1651 2294 Pnt 1553 2216 Pnt 1457 2139 Pnt 1364 2064 Pnt 1274 1990 Pnt 1186 1917 Pnt 1100 1846 Pnt 1018 1776 Pnt 950 1716 Pnt 1029 1764 Pnt 1106 1829 Pnt 1181 1891 Pnt 1254 1952 Pnt 2598 2984 Pnt 2524 2932 Pnt 2439 2870 Pnt 2345 2803 Pnt 2246 2730 Pnt 2144 2655 Pnt 2041 2577 Pnt 1937 2498 Pnt 1834 2419 Pnt 1733 2341 Pnt 1633 2262 Pnt 1536 2185 Pnt 1441 2109 Pnt 1349 2034 Pnt 1259 1961 Pnt 1172 1889 Pnt 1088 1818 Pnt 1006 1750 Pnt 997 1724 Pnt 1075 1783 Pnt 1151 1847 Pnt 2691 3030 Pnt 2645 2998 Pnt 2582 2954 Pnt 2505 2900 Pnt 2418 2837 Pnt 2324 2769 Pnt 2224 2696 Pnt 2122 2621 Pnt 2019 2543 Pnt 1916 2465 Pnt 1814 2387 Pnt 1714 2309 Pnt 1615 2231 Pnt 1519 2154 Pnt 1425 2079 Pnt 1334 2005 Pnt 1245 1932 Pnt 1159 1861 Pnt 1075 1791 Pnt 994 1723 Pnt 1044 1737 Pnt 2731 3033 Pnt 2716 3026 Pnt 2683 3004 Pnt 2632 2970 Pnt 2565 2923 Pnt 2486 2867 Pnt 2397 2804 Pnt 2302 2735 Pnt 2203 2662 Pnt 2101 2587 Pnt 1998 2510 Pnt 1896 2432 Pnt 1795 2354 Pnt 1695 2277 Pnt 1598 2200 Pnt 1502 2124 Pnt 1409 2049 Pnt 1319 1976 Pnt 1231 1904 Pnt 1146 1833 Pnt 1063 1764 Pnt 2719 2992 Pnt 2734 3010 Pnt 2732 3014 Pnt 2711 3003 Pnt 2673 2978 Pnt 2617 2941 Pnt 2548 2892 Pnt 2466 2835 Pnt 2376 2771 Pnt 2281 2701 Pnt 2181 2628 Pnt 2080 2553 Pnt 1978 2476 Pnt 1876 2399 Pnt 1776 2322 Pnt 1677 2245 Pnt 1580 2169 Pnt 1486 2093 Pnt 1394 2019 Pnt 1304 1947 Pnt 1217 1875 Pnt 2669 2912 Pnt 2705 2952 Pnt 2730 2980 Pnt 2739 2994 Pnt 2731 2994 Pnt 2705 2979 Pnt 2662 2951 Pnt 2603 2911 Pnt 2530 2861 Pnt 2447 2802 Pnt 2356 2737 Pnt 2259 2668 Pnt 2160 2595 Pnt 2059 2520 Pnt 1957 2443 Pnt 1857 2366 Pnt 1757 2290 Pnt 1659 2213 Pnt 1563 2138 Pnt 1470 2063 Pnt 1379 1990 Pnt 2597 2797 Pnt 2646 2857 Pnt 2688 2906 Pnt 2720 2943 Pnt 2739 2967 Pnt 2742 2977 Pnt 2729 2973 Pnt 2698 2955 Pnt 2650 2924 Pnt 2587 2882 Pnt 2512 2829 Pnt 2427 2770 Pnt 2335 2704 Pnt 2238 2634 Pnt 2139 2561 Pnt 2038 2486 Pnt 1937 2410 Pnt 1837 2334 Pnt 1739 2258 Pnt 1642 2182 Pnt 1547 2107 Pnt 2520 2652 Pnt 2572 2729 Pnt 2622 2797 Pnt 2667 2854 Pnt 2705 2899 Pnt 2732 2932 Pnt 2746 2952 Pnt 2744 2958 Pnt 2725 2951 Pnt 2689 2930 Pnt 2637 2896 Pnt 2571 2851 Pnt 2493 2798 Pnt 2407 2737 Pnt 2314 2671 Pnt 2217 2600 Pnt 2118 2528 Pnt 2018 2453 Pnt 1918 2377 Pnt 1818 2302 Pnt 1720 2226 Pnt 2455 2476 Pnt 2500 2571 Pnt 2548 2656 Pnt 2598 2731 Pnt 2645 2796 Pnt 2687 2849 Pnt 2721 2891 Pnt 2743 2920 Pnt 2751 2937 Pnt 2744 2939 Pnt 2720 2928 Pnt 2679 2904 Pnt 2623 2867 Pnt 2554 2821 Pnt 2474 2766 Pnt 2387 2704 Pnt 2293 2637 Pnt 2196 2567 Pnt 2097 2494 Pnt 1998 2420 Pnt 1898 2345 Pnt 1282 1994 Pnt 1348 2052 Pnt 1412 2109 Pnt 1474 2164 Pnt 1534 2218 Pnt 1593 2270 Pnt 1650 2320 Pnt 1705 2369 Pnt 1759 2417 Pnt 1812 2462 Pnt 1864 2507 Pnt 1914 2550 Pnt 1964 2591 Pnt 2012 2632 Pnt 2059 2670 Pnt 2105 2708 Pnt 2151 2744 Pnt 2195 2779 Pnt 2239 2813 Pnt 2282 2846 Pnt 2324 2877 Pnt 1153 1895 Pnt 1222 1956 Pnt 1290 2016 Pnt 1355 2074 Pnt 1418 2130 Pnt 1480 2185 Pnt 1540 2238 Pnt 1598 2290 Pnt 1655 2340 Pnt 1710 2388 Pnt 1764 2435 Pnt 1816 2480 Pnt 1868 2524 Pnt 1918 2567 Pnt 1967 2608 Pnt 2015 2647 Pnt 2062 2686 Pnt 2108 2723 Pnt 2153 2759 Pnt 2198 2793 Pnt 2241 2827 Pnt 1017 1791 Pnt 1090 1855 Pnt 1161 1918 Pnt 1230 1979 Pnt 1297 2038 Pnt 1362 2096 Pnt 1425 2151 Pnt 1486 2206 Pnt 1546 2258 Pnt 1603 2309 Pnt 1660 2359 Pnt 1715 2406 Pnt 1768 2453 Pnt 1820 2498 Pnt 1871 2541 Pnt 1921 2583 Pnt 1970 2624 Pnt 2018 2663 Pnt 2065 2701 Pnt 2111 2738 Pnt 2156 2773 Pnt 954 1736 Pnt 952 1750 Pnt 1027 1815 Pnt 1100 1879 Pnt 1170 1941 Pnt 1238 2002 Pnt 1305 2060 Pnt 1369 2117 Pnt 1431 2172 Pnt 1492 2226 Pnt 1551 2278 Pnt 1609 2329 Pnt 1665 2377 Pnt 1719 2425 Pnt 1772 2471 Pnt 1824 2515 Pnt 1875 2558 Pnt 1925 2600 Pnt 1973 2640 Pnt 2021 2679 Pnt 2067 2717 Pnt 1076 1855 Pnt 991 1785 Pnt 908 1721 Pnt 962 1775 Pnt 1037 1840 Pnt 1109 1903 Pnt 1179 1965 Pnt 1246 2024 Pnt 1312 2082 Pnt 1376 2139 Pnt 1438 2193 Pnt 1498 2246 Pnt 1557 2298 Pnt 1614 2348 Pnt 1669 2396 Pnt 1724 2443 Pnt 1776 2489 Pnt 1828 2532 Pnt 1879 2575 Pnt 1928 2616 Pnt 1976 2656 Pnt 1202 1979 Pnt 1114 1906 Pnt 1028 1835 Pnt 944 1766 Pnt 896 1734 Pnt 972 1800 Pnt 1046 1864 Pnt 1118 1927 Pnt 1187 1988 Pnt 1254 2047 Pnt 1319 2104 Pnt 1383 2160 Pnt 1444 2214 Pnt 1504 2267 Pnt 1562 2318 Pnt 1619 2367 Pnt 1674 2415 Pnt 1728 2461 Pnt 1781 2506 Pnt 1832 2550 Pnt 1882 2592 Pnt 1330 2109 Pnt 1241 2032 Pnt 1153 1958 Pnt 1066 1886 Pnt 981 1815 Pnt 898 1747 Pnt 907 1759 Pnt 982 1825 Pnt 1055 1888 Pnt 1126 1950 Pnt 1195 2010 Pnt 1262 2069 Pnt 1326 2126 Pnt 1389 2181 Pnt 1450 2235 Pnt 1510 2287 Pnt 1567 2337 Pnt 1624 2386 Pnt 1679 2433 Pnt 1732 2479 Pnt 1784 2524 Pnt 1462 2243 Pnt 1369 2164 Pnt 1279 2086 Pnt 1191 2011 Pnt 1104 1937 Pnt 1018 1865 Pnt 934 1795 Pnt 852 1728 Pnt 917 1784 Pnt 993 1849 Pnt 1070 1911 Pnt 1144 1972 Pnt 1216 2031 Pnt 1286 2088 Pnt 1353 2144 Pnt 1419 2198 Pnt 1482 2250 Pnt 1543 2301 Pnt 1601 2351 Pnt 1658 2399 Pnt 1712 2446 Pnt 1643 2372 Pnt 1542 2291 Pnt 1444 2212 Pnt 1349 2135 Pnt 1257 2058 Pnt 1167 1984 Pnt 1080 1911 Pnt 996 1840 Pnt 914 1770 Pnt 881 1738 Pnt 960 1803 Pnt 1038 1867 Pnt 1113 1928 Pnt 1186 1988 Pnt 1257 2047 Pnt 1326 2103 Pnt 1393 2159 Pnt 1458 2212 Pnt 1520 2264 Pnt 1580 2315 Pnt 1638 2364 Pnt 1831 2502 Pnt 1726 2421 Pnt 1624 2340 Pnt 1525 2260 Pnt 1428 2182 Pnt 1333 2105 Pnt 1242 2029 Pnt 1153 1956 Pnt 1067 1883 Pnt 984 1813 Pnt 903 1744 Pnt 927 1757 Pnt 1005 1821 Pnt 1082 1884 Pnt 1156 1945 Pnt 1229 2005 Pnt 1299 2063 Pnt 1367 2119 Pnt 1433 2174 Pnt 1496 2227 Pnt 1558 2278 Pnt 2021 2631 Pnt 1915 2550 Pnt 1810 2469 Pnt 1707 2388 Pnt 1606 2308 Pnt 1507 2229 Pnt 1411 2152 Pnt 1318 2075 Pnt 1227 2001 Pnt 1139 1927 Pnt 1054 1856 Pnt 971 1786 Pnt 893 1719 Pnt 972 1775 Pnt 1050 1839 Pnt 1126 1902 Pnt 1199 1962 Pnt 1271 2021 Pnt 1340 2079 Pnt 1407 2134 Pnt 1472 2188 Pnt 2209 2755 Pnt 2105 2677 Pnt 1999 2597 Pnt 1894 2517 Pnt 1790 2436 Pnt 1687 2356 Pnt 1587 2277 Pnt 1490 2198 Pnt 1395 2121 Pnt 1302 2046 Pnt 1213 1972 Pnt 1126 1899 Pnt 1041 1829 Pnt 960 1760 Pnt 939 1728 Pnt 1018 1794 Pnt 1095 1857 Pnt 1169 1919 Pnt 1242 1979 Pnt 1313 2037 Pnt 1381 2094 Pnt 2387 2868 Pnt 2289 2796 Pnt 2187 2721 Pnt 2083 2643 Pnt 1978 2563 Pnt 1873 2483 Pnt 1770 2403 Pnt 1669 2324 Pnt 1569 2245 Pnt 1473 2168 Pnt 1379 2091 Pnt 1287 2017 Pnt 1198 1943 Pnt 1112 1872 Pnt 1029 1802 Pnt 948 1733 Pnt 985 1747 Pnt 1063 1812 Pnt 1139 1875 Pnt 1213 1936 Pnt 1285 1996 Pnt 2541 2961 Pnt 2458 2902 Pnt 2365 2834 Pnt 2267 2762 Pnt 2165 2687 Pnt 2061 2609 Pnt 1956 2530 Pnt 1853 2450 Pnt 1750 2371 Pnt 1650 2292 Pnt 1552 2214 Pnt 1456 2137 Pnt 1363 2062 Pnt 1272 1988 Pnt 1185 1915 Pnt 1099 1844 Pnt 1017 1775 Pnt 953 1717 Pnt 1032 1766 Pnt 1108 1830 Pnt 1183 1892 Pnt 2656 3024 Pnt 2597 2982 Pnt 2523 2930 Pnt 2437 2868 Pnt 2344 2801 Pnt 2245 2728 Pnt 2143 2653 Pnt 2039 2575 Pnt 1935 2496 Pnt 1833 2417 Pnt 1731 2339 Pnt 1632 2260 Pnt 1535 2183 Pnt 1440 2107 Pnt 1348 2032 Pnt 1258 1959 Pnt 1171 1887 Pnt 1086 1817 Pnt 1005 1748 Pnt 1000 1724 Pnt 1077 1784 Pnt 2719 3046 Pnt 2691 3028 Pnt 2644 2996 Pnt 2581 2952 Pnt 2504 2898 Pnt 2417 2835 Pnt 2322 2767 Pnt 2223 2694 Pnt 2121 2619 Pnt 2018 2541 Pnt 1915 2463 Pnt 1813 2385 Pnt 1712 2306 Pnt 1614 2229 Pnt 1518 2152 Pnt 1424 2077 Pnt 1332 2003 Pnt 1244 1930 Pnt 1158 1859 Pnt 1074 1789 Pnt 993 1721 Pnt 2727 3024 Pnt 2731 3031 Pnt 2716 3024 Pnt 2682 3003 Pnt 2631 2968 Pnt 2564 2921 Pnt 2485 2865 Pnt 2396 2802 Pnt 2301 2733 Pnt 2201 2660 Pnt 2099 2585 Pnt 1997 2508 Pnt 1895 2430 Pnt 1793 2352 Pnt 1694 2275 Pnt 1596 2198 Pnt 1501 2122 Pnt 1408 2047 Pnt 1318 1974 Pnt 1230 1902 Pnt 1144 1831 Pnt 2690 2960 Pnt 2719 2991 Pnt 2734 3009 Pnt 2732 3013 Pnt 2711 3002 Pnt 2672 2977 Pnt 2617 2939 Pnt 2546 2890 Pnt 2465 2833 Pnt 2375 2769 Pnt 2279 2699 Pnt 2180 2626 Pnt 2078 2551 Pnt 1976 2474 Pnt 1875 2397 Pnt 1774 2320 Pnt 1676 2243 Pnt 1579 2167 Pnt 1485 2091 Pnt 1393 2017 Pnt 1303 1945 Pnt 2624 2859 Pnt 2670 2912 Pnt 2706 2952 Pnt 2730 2979 Pnt 2739 2993 Pnt 2731 2993 Pnt 2705 2978 Pnt 2661 2950 Pnt 2602 2910 Pnt 2529 2859 Pnt 2445 2800 Pnt 2354 2735 Pnt 2258 2666 Pnt 2158 2593 Pnt 2057 2517 Pnt 1956 2441 Pnt 1855 2364 Pnt 1756 2288 Pnt 1658 2211 Pnt 1562 2136 Pnt 1469 2061 Pnt 2546 2727 Pnt 2598 2797 Pnt 2647 2857 Pnt 2689 2906 Pnt 2720 2942 Pnt 2739 2966 Pnt 2742 2976 Pnt 2728 2971 Pnt 2697 2953 Pnt 2649 2922 Pnt 2586 2880 Pnt 2510 2828 Pnt 2425 2768 Pnt 2333 2702 Pnt 2237 2632 Pnt 2137 2559 Pnt 2037 2484 Pnt 1936 2408 Pnt 1836 2332 Pnt 1737 2256 Pnt 1640 2180 Pnt 2472 2564 Pnt 2522 2652 Pnt 2573 2729 Pnt 2623 2797 Pnt 2668 2853 Pnt 2706 2899 Pnt 2733 2932 Pnt 2746 2951 Pnt 2744 2957 Pnt 2725 2949 Pnt 2688 2928 Pnt 2636 2894 Pnt 2570 2849 Pnt 2492 2796 Pnt 2405 2735 Pnt 2313 2669 Pnt 2216 2598 Pnt 2116 2525 Pnt 2016 2451 Pnt 1916 2375 Pnt 1817 2300 Pnt 1341 2032 Pnt 1406 2089 Pnt 1468 2145 Pnt 1529 2199 Pnt 1588 2252 Pnt 1645 2303 Pnt 1701 2352 Pnt 1756 2400 Pnt 1809 2446 Pnt 1861 2491 Pnt 1911 2534 Pnt 1961 2576 Pnt 2009 2617 Pnt 2057 2656 Pnt 2103 2694 Pnt 2149 2731 Pnt 2193 2766 Pnt 2237 2800 Pnt 2281 2833 Pnt 2323 2865 Pnt 2365 2895 Pnt 1215 1935 Pnt 1283 1995 Pnt 1348 2054 Pnt 1412 2111 Pnt 1474 2166 Pnt 1535 2220 Pnt 1593 2271 Pnt 1650 2322 Pnt 1706 2371 Pnt 1760 2418 Pnt 1813 2464 Pnt 1865 2508 Pnt 1915 2551 Pnt 1964 2593 Pnt 2012 2633 Pnt 2060 2672 Pnt 2106 2709 Pnt 2151 2745 Pnt 2196 2780 Pnt 2240 2814 Pnt 2283 2847 Pnt 1082 1833 Pnt 1154 1896 Pnt 1223 1958 Pnt 1290 2018 Pnt 1356 2076 Pnt 1419 2132 Pnt 1481 2187 Pnt 1541 2240 Pnt 1599 2291 Pnt 1656 2341 Pnt 1711 2389 Pnt 1765 2436 Pnt 1817 2481 Pnt 1868 2525 Pnt 1918 2568 Pnt 1967 2609 Pnt 2015 2649 Pnt 2062 2687 Pnt 2109 2724 Pnt 2154 2760 Pnt 2198 2795 Pnt 942 1726 Pnt 1018 1793 Pnt 1091 1857 Pnt 1162 1920 Pnt 1231 1981 Pnt 1298 2040 Pnt 1363 2097 Pnt 1426 2153 Pnt 1487 2207 Pnt 1546 2260 Pnt 1604 2311 Pnt 1660 2360 Pnt 1715 2408 Pnt 1769 2454 Pnt 1821 2499 Pnt 1872 2542 Pnt 1922 2584 Pnt 1971 2625 Pnt 2018 2664 Pnt 2065 2702 Pnt 2111 2739 Pnt 1035 1803 Pnt 951 1735 Pnt 953 1752 Pnt 1028 1817 Pnt 1101 1881 Pnt 1171 1943 Pnt 1239 2003 Pnt 1306 2062 Pnt 1370 2119 Pnt 1432 2174 Pnt 1493 2228 Pnt 1552 2280 Pnt 1609 2330 Pnt 1665 2379 Pnt 1720 2426 Pnt 1773 2472 Pnt 1825 2516 Pnt 1876 2559 Pnt 1925 2601 Pnt 1974 2641 Pnt 2021 2680 Pnt 1160 1925 Pnt 1073 1854 Pnt 988 1784 Pnt 905 1721 Pnt 963 1777 Pnt 1038 1842 Pnt 1110 1905 Pnt 1179 1966 Pnt 1247 2026 Pnt 1313 2084 Pnt 1377 2140 Pnt 1439 2195 Pnt 1499 2248 Pnt 1558 2299 Pnt 1615 2349 Pnt 1670 2398 Pnt 1724 2444 Pnt 1777 2490 Pnt 1829 2534 Pnt 1879 2576 Pnt 1929 2618 Pnt 1288 2053 Pnt 1199 1978 Pnt 1111 1905 Pnt 1025 1834 Pnt 942 1764 Pnt 897 1735 Pnt 973 1802 Pnt 1047 1866 Pnt 1118 1928 Pnt 1188 1989 Pnt 1255 2048 Pnt 1320 2106 Pnt 1383 2161 Pnt 1445 2216 Pnt 1505 2268 Pnt 1563 2319 Pnt 1620 2368 Pnt 1675 2416 Pnt 1729 2463 Pnt 1781 2508 Pnt 1833 2551 Pnt 1417 2186 Pnt 1327 2107 Pnt 1238 2031 Pnt 1150 1956 Pnt 1063 1884 Pnt 978 1814 Pnt 895 1745 Pnt 908 1761 Pnt 983 1826 Pnt 1056 1890 Pnt 1127 1952 Pnt 1196 2012 Pnt 1263 2071 Pnt 1327 2127 Pnt 1390 2183 Pnt 1451 2236 Pnt 1510 2288 Pnt 1568 2339 Pnt 1624 2387 Pnt 1679 2435 Pnt 1733 2481 Pnt 1559 2321 Pnt 1460 2241 Pnt 1366 2162 Pnt 1276 2085 Pnt 1188 2009 Pnt 1101 1935 Pnt 1015 1864 Pnt 931 1794 Pnt 849 1726 Pnt 918 1786 Pnt 996 1850 Pnt 1072 1913 Pnt 1146 1973 Pnt 1218 2032 Pnt 1288 2089 Pnt 1356 2145 Pnt 1421 2199 Pnt 1484 2251 Pnt 1545 2303 Pnt 1604 2352 Pnt 1660 2401 Pnt 1745 2451 Pnt 1642 2370 Pnt 1541 2289 Pnt 1443 2210 Pnt 1348 2133 Pnt 1255 2057 Pnt 1166 1982 Pnt 1079 1909 Pnt 995 1838 Pnt 913 1769 Pnt 884 1739 Pnt 963 1804 Pnt 1040 1868 Pnt 1116 1930 Pnt 1189 1990 Pnt 1260 2048 Pnt 1329 2105 Pnt 1396 2160 Pnt 1460 2213 Pnt 1522 2266 Pnt 1582 2316 Pnt 1935 2582 Pnt 1829 2500 Pnt 1725 2418 Pnt 1623 2338 Pnt 1523 2258 Pnt 1426 2180 Pnt 1332 2103 Pnt 1240 2027 Pnt 1152 1954 Pnt 1066 1882 Pnt 982 1811 Pnt 902 1742 Pnt 929 1758 Pnt 1008 1823 Pnt 1084 1886 Pnt 1159 1947 Pnt 1231 2006 Pnt 1301 2064 Pnt 1369 2120 Pnt 1435 2175 Pnt 1499 2228 Pnt 2126 2709 Pnt 2019 2629 Pnt 1913 2548 Pnt 1809 2467 Pnt 1705 2386 Pnt 1604 2306 Pnt 1506 2227 Pnt 1410 2150 Pnt 1316 2073 Pnt 1226 1999 Pnt 1138 1926 Pnt 1053 1854 Pnt 970 1784 Pnt 896 1719 Pnt 975 1777 Pnt 1053 1841 Pnt 1128 1903 Pnt 1202 1964 Pnt 1273 2023 Pnt 1343 2080 Pnt 1410 2135 Pnt 2310 2829 Pnt 2208 2753 Pnt 2103 2675 Pnt 1998 2595 Pnt 1892 2514 Pnt 1788 2434 Pnt 1686 2354 Pnt 1586 2275 Pnt 1488 2196 Pnt 1393 2119 Pnt 1301 2044 Pnt 1211 1970 Pnt 1124 1898 Pnt 1040 1827 Pnt 958 1758 Pnt 942 1730 Pnt 1021 1795 Pnt 1097 1859 Pnt 1172 1920 Pnt 1245 1980 Pnt 1315 2039 Pnt 2477 2932 Pnt 2386 2866 Pnt 2288 2794 Pnt 2185 2719 Pnt 2081 2641 Pnt 1976 2561 Pnt 1872 2481 Pnt 1768 2401 Pnt 1667 2322 Pnt 1568 2243 Pnt 1471 2166 Pnt 1377 2090 Pnt 1286 2015 Pnt 1197 1941 Pnt 1111 1870 Pnt 1028 1800 Pnt 947 1731 Pnt 988 1749 Pnt 1066 1813 Pnt 1142 1876 Pnt 1216 1937 Pnt 2611 3010 Pnt 2540 2960 Pnt 2457 2900 Pnt 2364 2832 Pnt 2265 2760 Pnt 2163 2685 Pnt 2059 2607 Pnt 1955 2528 Pnt 1851 2448 Pnt 1749 2369 Pnt 1649 2290 Pnt 1550 2212 Pnt 1455 2135 Pnt 1362 2060 Pnt 1271 1986 Pnt 1183 1913 Pnt 1098 1842 Pnt 1015 1773 Pnt 956 1717 Pnt 1034 1767 Pnt 1111 1831 Pnt 2698 3051 Pnt 2656 3022 Pnt 2596 2980 Pnt 2522 2928 Pnt 2436 2866 Pnt 2342 2799 Pnt 2243 2726 Pnt 2141 2650 Pnt 2038 2573 Pnt 1934 2494 Pnt 1831 2415 Pnt 1730 2336 Pnt 1630 2258 Pnt 1533 2181 Pnt 1438 2105 Pnt 1346 2030 Pnt 1257 1957 Pnt 1170 1885 Pnt 1085 1815 Pnt 1004 1746 Pnt 1003 1725 Pnt 2728 3048 Pnt 2719 3045 Pnt 2690 3027 Pnt 2643 2995 Pnt 2580 2950 Pnt 2503 2896 Pnt 2415 2833 Pnt 2321 2765 Pnt 2221 2692 Pnt 2119 2616 Pnt 2016 2539 Pnt 1913 2461 Pnt 1811 2383 Pnt 1711 2304 Pnt 1612 2227 Pnt 1516 2150 Pnt 1422 2075 Pnt 1331 2001 Pnt 1243 1928 Pnt 1156 1857 Pnt 1073 1787 Pnt 2708 3002 Pnt 2728 3023 Pnt 2731 3030 Pnt 2715 3023 Pnt 2681 3001 Pnt 2630 2966 Pnt 2563 2920 Pnt 2483 2864 Pnt 2394 2800 Pnt 2299 2731 Pnt 2200 2658 Pnt 2098 2583 Pnt 1995 2506 Pnt 1893 2428 Pnt 1792 2350 Pnt 1692 2273 Pnt 1595 2196 Pnt 1500 2120 Pnt 1407 2045 Pnt 1316 1972 Pnt 1229 1900 Pnt 2650 2916 Pnt 2691 2960 Pnt 2720 2991 Pnt 2734 3008 Pnt 2732 3011 Pnt 2711 3000 Pnt 2671 2975 Pnt 2616 2937 Pnt 2545 2889 Pnt 2464 2831 Pnt 2374 2767 Pnt 2278 2697 Pnt 2178 2624 Pnt 2077 2549 Pnt 1975 2472 Pnt 1873 2395 Pnt 1773 2318 Pnt 1674 2241 Pnt 1578 2165 Pnt 1483 2089 Pnt 1391 2015 Pnt 2574 2796 Pnt 2625 2859 Pnt 2671 2911 Pnt 2707 2951 Pnt 2730 2978 Pnt 2739 2992 Pnt 2731 2991 Pnt 2704 2977 Pnt 2660 2948 Pnt 2601 2908 Pnt 2527 2857 Pnt 2444 2798 Pnt 2353 2733 Pnt 2256 2663 Pnt 2157 2590 Pnt 2056 2515 Pnt 1954 2439 Pnt 1854 2362 Pnt 1754 2286 Pnt 1656 2209 Pnt 1561 2134 Pnt 2494 2646 Pnt 2547 2727 Pnt 2599 2797 Pnt 2648 2857 Pnt 2689 2905 Pnt 2721 2942 Pnt 2739 2965 Pnt 2742 2975 Pnt 2728 2970 Pnt 2697 2952 Pnt 2648 2921 Pnt 2585 2878 Pnt 2509 2826 Pnt 2424 2766 Pnt 2332 2700 Pnt 2235 2630 Pnt 2136 2557 Pnt 2035 2482 Pnt 1934 2406 Pnt 1834 2330 Pnt 1736 2254 Pnt 1399 2070 Pnt 1462 2126 Pnt 1523 2180 Pnt 1583 2233 Pnt 1641 2285 Pnt 1697 2335 Pnt 1752 2383 Pnt 1805 2430 Pnt 1857 2475 Pnt 1908 2519 Pnt 1958 2561 Pnt 2007 2602 Pnt 2054 2642 Pnt 2101 2680 Pnt 2147 2717 Pnt 2192 2753 Pnt 2236 2787 Pnt 2279 2820 Pnt 2322 2852 Pnt 2364 2883 Pnt 2405 2913 Pnt 1276 1974 Pnt 1342 2034 Pnt 1406 2091 Pnt 1469 2147 Pnt 1530 2201 Pnt 1589 2253 Pnt 1646 2304 Pnt 1702 2353 Pnt 1756 2401 Pnt 1810 2447 Pnt 1861 2492 Pnt 1912 2536 Pnt 1962 2577 Pnt 2010 2618 Pnt 2057 2657 Pnt 2104 2695 Pnt 2149 2732 Pnt 2194 2767 Pnt 2238 2801 Pnt 2281 2834 Pnt 2324 2866 Pnt 1146 1875 Pnt 1216 1937 Pnt 1284 1997 Pnt 1349 2055 Pnt 1413 2112 Pnt 1475 2167 Pnt 1536 2221 Pnt 1594 2273 Pnt 1651 2323 Pnt 1707 2372 Pnt 1761 2419 Pnt 1814 2465 Pnt 1865 2509 Pnt 1916 2552 Pnt 1965 2594 Pnt 2013 2634 Pnt 2060 2673 Pnt 2106 2710 Pnt 2152 2747 Pnt 2196 2781 Pnt 2240 2815 Pnt 1009 1770 Pnt 1083 1835 Pnt 1155 1898 Pnt 1224 1960 Pnt 1291 2019 Pnt 1357 2077 Pnt 1420 2134 Pnt 1482 2188 Pnt 1541 2241 Pnt 1600 2293 Pnt 1656 2342 Pnt 1711 2391 Pnt 1765 2437 Pnt 1818 2483 Pnt 1869 2527 Pnt 1919 2569 Pnt 1968 2610 Pnt 2016 2650 Pnt 2063 2688 Pnt 2109 2725 Pnt 2154 2761 Pnt 994 1753 Pnt 943 1728 Pnt 1019 1794 Pnt 1092 1859 Pnt 1163 1921 Pnt 1232 1982 Pnt 1299 2041 Pnt 1364 2099 Pnt 1427 2155 Pnt 1488 2209 Pnt 1547 2261 Pnt 1605 2312 Pnt 1661 2361 Pnt 1716 2409 Pnt 1770 2456 Pnt 1822 2500 Pnt 1873 2544 Pnt 1923 2586 Pnt 1971 2626 Pnt 2019 2666 Pnt 2066 2704 Pnt 1118 1872 Pnt 1032 1802 Pnt 948 1734 Pnt 954 1753 Pnt 1029 1819 Pnt 1101 1883 Pnt 1172 1945 Pnt 1240 2005 Pnt 1306 2064 Pnt 1371 2120 Pnt 1433 2176 Pnt 1494 2229 Pnt 1553 2281 Pnt 1610 2331 Pnt 1666 2380 Pnt 1721 2428 Pnt 1774 2473 Pnt 1826 2518 Pnt 1876 2561 Pnt 1926 2602 Pnt 1974 2643 Pnt 1245 1998 Pnt 1157 1924 Pnt 1070 1852 Pnt 985 1782 Pnt 902 1720 Pnt 964 1778 Pnt 1038 1843 Pnt 1111 1907 Pnt 1180 1968 Pnt 1248 2028 Pnt 1314 2086 Pnt 1378 2142 Pnt 1439 2196 Pnt 1500 2249 Pnt 1558 2301 Pnt 1615 2351 Pnt 1671 2399 Pnt 1725 2446 Pnt 1778 2491 Pnt 1829 2535 Pnt 1880 2578 Pnt 1375 2128 Pnt 1285 2051 Pnt 1196 1976 Pnt 1108 1903 Pnt 1023 1832 Pnt 939 1763 Pnt 898 1737 Pnt 974 1803 Pnt 1048 1868 Pnt 1119 1930 Pnt 1189 1991 Pnt 1256 2050 Pnt 1321 2107 Pnt 1384 2163 Pnt 1446 2217 Pnt 1505 2270 Pnt 1564 2321 Pnt 1620 2370 Pnt 1675 2418 Pnt 1729 2464 Pnt 1782 2509 Pnt 1506 2264 Pnt 1414 2184 Pnt 1324 2106 Pnt 1235 2029 Pnt 1147 1955 Pnt 1060 1883 Pnt 975 1812 Pnt 892 1744 Pnt 909 1763 Pnt 984 1828 Pnt 1057 1892 Pnt 1128 1954 Pnt 1197 2014 Pnt 1263 2072 Pnt 1328 2129 Pnt 1391 2184 Pnt 1452 2238 Pnt 1511 2290 Pnt 1569 2340 Pnt 1626 2389 Pnt 1681 2436 Pnt 1660 2400 Pnt 1558 2319 Pnt 1459 2239 Pnt 1363 2161 Pnt 1273 2083 Pnt 1185 2007 Pnt 1098 1934 Pnt 1012 1862 Pnt 928 1792 Pnt 846 1725 Pnt 921 1788 Pnt 999 1852 Pnt 1075 1914 Pnt 1149 1974 Pnt 1221 2033 Pnt 1291 2091 Pnt 1358 2146 Pnt 1424 2200 Pnt 1487 2253 Pnt 1547 2304 Pnt 1606 2353 Pnt 1848 2531 Pnt 1743 2449 Pnt 1640 2368 Pnt 1540 2287 Pnt 1442 2208 Pnt 1347 2131 Pnt 1254 2055 Pnt 1165 1980 Pnt 1078 1907 Pnt 994 1836 Pnt 912 1767 Pnt 886 1741 Pnt 966 1806 Pnt 1043 1869 Pnt 1118 1931 Pnt 1192 1991 Pnt 1263 2049 Pnt 1331 2106 Pnt 1398 2161 Pnt 1462 2215 Pnt 1525 2267 Pnt 2040 2661 Pnt 1933 2579 Pnt 1828 2498 Pnt 1723 2416 Pnt 1621 2336 Pnt 1522 2256 Pnt 1425 2178 Pnt 1331 2101 Pnt 1239 2026 Pnt 1151 1952 Pnt 1065 1880 Pnt 981 1809 Pnt 901 1741 Pnt 932 1759 Pnt 1011 1824 Pnt 1087 1887 Pnt 1161 1948 Pnt 1234 2008 Pnt 1304 2065 Pnt 1372 2121 Pnt 1438 2176 Pnt 2229 2785 Pnt 2124 2707 Pnt 2018 2627 Pnt 1912 2546 Pnt 1807 2465 Pnt 1704 2384 Pnt 1603 2304 Pnt 1504 2225 Pnt 1408 2148 Pnt 1315 2071 Pnt 1225 1997 Pnt 1137 1924 Pnt 1052 1852 Pnt 969 1783 Pnt 899 1720 Pnt 978 1778 Pnt 1055 1842 Pnt 1131 1904 Pnt 1204 1965 Pnt 1276 2024 Pnt 1345 2081 Pnt 2406 2898 Pnt 2309 2827 Pnt 2206 2751 Pnt 2102 2673 Pnt 1996 2593 Pnt 1891 2512 Pnt 1787 2432 Pnt 1685 2352 Pnt 1585 2272 Pnt 1487 2194 Pnt 1392 2117 Pnt 1300 2042 Pnt 1210 1968 Pnt 1123 1896 Pnt 1039 1825 Pnt 957 1756 Pnt 945 1731 Pnt 1023 1796 Pnt 1100 1860 Pnt 1175 1922 Pnt 1247 1982 Pnt 2557 2989 Pnt 2476 2930 Pnt 2384 2864 Pnt 2286 2792 Pnt 2184 2717 Pnt 2080 2639 Pnt 1975 2559 Pnt 1870 2479 Pnt 1767 2399 Pnt 1666 2320 Pnt 1567 2241 Pnt 1470 2164 Pnt 1376 2088 Pnt 1285 2013 Pnt 1196 1940 Pnt 1110 1868 Pnt 1027 1798 Pnt 946 1730 Pnt 991 1750 Pnt 1069 1815 Pnt 1144 1878 Pnt 2666 3048 Pnt 2610 3008 Pnt 2539 2958 Pnt 2455 2898 Pnt 2363 2830 Pnt 2264 2758 Pnt 2162 2682 Pnt 2058 2605 Pnt 1953 2525 Pnt 1850 2446 Pnt 1748 2367 Pnt 1647 2288 Pnt 1549 2210 Pnt 1453 2133 Pnt 1360 2058 Pnt 1270 1984 Pnt 1182 1911 Pnt 1097 1840 Pnt 1014 1771 Pnt 959 1717 Pnt 1037 1769 Pnt 2720 3064 Pnt 2697 3050 Pnt 2655 3021 Pnt 2595 2979 Pnt 2520 2926 Pnt 2435 2864 Pnt 2341 2797 Pnt 2242 2724 Pnt 2140 2648 Pnt 2036 2571 Pnt 1932 2492 Pnt 1830 2413 Pnt 1728 2334 Pnt 1629 2256 Pnt 1532 2179 Pnt 1437 2103 Pnt 1345 2028 Pnt 1256 1955 Pnt 1169 1883 Pnt 1084 1813 Pnt 1002 1744 Pnt 2719 3036 Pnt 2728 3047 Pnt 2719 3044 Pnt 2690 3025 Pnt 2642 2993 Pnt 2579 2948 Pnt 2501 2894 Pnt 2414 2831 Pnt 2319 2763 Pnt 2220 2690 Pnt 2118 2614 Pnt 2015 2537 Pnt 1912 2459 Pnt 1810 2380 Pnt 1710 2302 Pnt 1611 2225 Pnt 1515 2148 Pnt 1421 2073 Pnt 1330 1999 Pnt 1241 1926 Pnt 1155 1855 Pnt 2674 2966 Pnt 2708 3001 Pnt 2728 3022 Pnt 2731 3029 Pnt 2715 3022 Pnt 2681 3000 Pnt 2629 2965 Pnt 2562 2918 Pnt 2482 2862 Pnt 2393 2798 Pnt 2298 2729 Pnt 2198 2656 Pnt 2096 2581 Pnt 1994 2504 Pnt 1892 2426 Pnt 1791 2348 Pnt 1691 2270 Pnt 1594 2194 Pnt 1498 2118 Pnt 1405 2043 Pnt 1315 1970 Pnt 2602 2861 Pnt 2651 2916 Pnt 2692 2959 Pnt 2720 2990 Pnt 2734 3007 Pnt 2731 3010 Pnt 2710 2999 Pnt 2671 2974 Pnt 2615 2936 Pnt 2544 2887 Pnt 2462 2829 Pnt 2372 2765 Pnt 2276 2695 Pnt 2177 2622 Pnt 2075 2547 Pnt 1973 2470 Pnt 1872 2393 Pnt 1772 2316 Pnt 1673 2239 Pnt 1576 2163 Pnt 1482 2087 Pnt 2520 2723 Pnt 2575 2796 Pnt 2626 2859 Pnt 2672 2911 Pnt 2707 2951 Pnt 2731 2978 Pnt 2739 2991 Pnt 2730 2990 Pnt 2704 2975 Pnt 2660 2947 Pnt 2600 2906 Pnt 2526 2855 Pnt 2443 2796 Pnt 2351 2731 Pnt 2255 2661 Pnt 2155 2588 Pnt 2054 2513 Pnt 1953 2437 Pnt 1852 2360 Pnt 1753 2284 Pnt 1655 2207 Pnt 1456 2106 Pnt 1518 2162 Pnt 1578 2215 Pnt 1636 2267 Pnt 1693 2317 Pnt 1748 2366 Pnt 1802 2413 Pnt 1854 2459 Pnt 1905 2503 Pnt 1955 2546 Pnt 2004 2587 Pnt 2052 2627 Pnt 2099 2666 Pnt 2145 2703 Pnt 2190 2739 Pnt 2234 2774 Pnt 2278 2808 Pnt 2320 2840 Pnt 2362 2871 Pnt 2404 2901 Pnt 2444 2930 Pnt 1335 2013 Pnt 1400 2071 Pnt 1463 2127 Pnt 1524 2182 Pnt 1584 2235 Pnt 1641 2286 Pnt 1698 2336 Pnt 1753 2384 Pnt 1806 2431 Pnt 1858 2476 Pnt 1909 2520 Pnt 1959 2562 Pnt 2007 2603 Pnt 2055 2643 Pnt 2102 2681 Pnt 2147 2718 Pnt 2192 2754 Pnt 2236 2788 Pnt 2280 2822 Pnt 2322 2854 Pnt 2364 2884 Pnt 1208 1915 Pnt 1276 1976 Pnt 1343 2035 Pnt 1407 2093 Pnt 1470 2148 Pnt 1530 2202 Pnt 1589 2255 Pnt 1647 2306 Pnt 1703 2355 Pnt 1757 2403 Pnt 1810 2449 Pnt 1862 2494 Pnt 1913 2537 Pnt 1962 2579 Pnt 2011 2619 Pnt 2058 2658 Pnt 2104 2696 Pnt 2150 2733 Pnt 2195 2768 Pnt 2239 2802 Pnt 2282 2835 Pnt 1074 1812 Pnt 1147 1876 Pnt 1217 1938 Pnt 1284 1999 Pnt 1350 2057 Pnt 1414 2114 Pnt 1476 2169 Pnt 1536 2223 Pnt 1595 2274 Pnt 1652 2325 Pnt 1707 2374 Pnt 1762 2421 Pnt 1814 2467 Pnt 1866 2511 Pnt 1916 2554 Pnt 1965 2595 Pnt 2014 2635 Pnt 2061 2674 Pnt 2107 2712 Pnt 2152 2748 Pnt 2197 2783 Pnt 954 1716 Pnt 1010 1772 Pnt 1084 1837 Pnt 1155 1900 Pnt 1225 1961 Pnt 1292 2021 Pnt 1357 2079 Pnt 1421 2135 Pnt 1482 2190 Pnt 1542 2243 Pnt 1600 2294 Pnt 1657 2344 Pnt 1712 2392 Pnt 1766 2439 Pnt 1818 2484 Pnt 1870 2528 Pnt 1920 2570 Pnt 1969 2611 Pnt 2017 2651 Pnt 2064 2690 Pnt 2110 2727 Pnt 1076 1820 Pnt 991 1751 Pnt 944 1730 Pnt 1020 1796 Pnt 1093 1861 Pnt 1164 1923 Pnt 1233 1984 Pnt 1300 2043 Pnt 1365 2100 Pnt 1427 2156 Pnt 1489 2210 Pnt 1548 2263 Pnt 1606 2314 Pnt 1662 2363 Pnt 1717 2411 Pnt 1770 2457 Pnt 1822 2502 Pnt 1873 2545 Pnt 1923 2587 Pnt 1972 2628 Pnt 2020 2667 Pnt 1202 1943 Pnt 1115 1871 Pnt 1029 1800 Pnt 945 1732 Pnt 955 1755 Pnt 1030 1821 Pnt 1102 1884 Pnt 1173 1946 Pnt 1241 2007 Pnt 1307 2065 Pnt 1372 2122 Pnt 1434 2177 Pnt 1495 2231 Pnt 1554 2283 Pnt 1611 2333 Pnt 1667 2382 Pnt 1721 2429 Pnt 1774 2475 Pnt 1826 2519 Pnt 1877 2562 Pnt 1927 2604 Pnt 1332 2072 Pnt 1242 1996 Pnt 1154 1922 Pnt 1067 1851 Pnt 982 1781 Pnt 899 1720 Pnt 965 1780 Pnt 1039 1845 Pnt 1111 1908 Pnt 1181 1970 Pnt 1249 2029 Pnt 1315 2087 Pnt 1378 2143 Pnt 1440 2198 Pnt 1500 2251 Pnt 1559 2302 Pnt 1616 2352 Pnt 1672 2400 Pnt 1726 2447 Pnt 1779 2493 Pnt 1830 2536 Pnt 1463 2206 Pnt 1372 2127 Pnt 1282 2050 Pnt 1193 1975 Pnt 1105 1902 Pnt 1020 1831 Pnt 936 1761 Pnt 899 1739 Pnt 975 1805 Pnt 1049 1869 Pnt 1120 1932 Pnt 1190 1993 Pnt 1257 2052 Pnt 1322 2109 Pnt 1385 2165 Pnt 1446 2219 Pnt 1506 2271 Pnt 1564 2322 Pnt 1621 2371 Pnt 1676 2419 Pnt 1730 2465 Pnt 1594 2345 Pnt 1502 2263 Pnt 1411 2182 Pnt 1321 2104 Pnt 1232 2028 Pnt 1144 1953 Pnt 1057 1881 Pnt 972 1811 Pnt 889 1742 Pnt 910 1764 Pnt 985 1830 Pnt 1058 1893 Pnt 1129 1955 Pnt 1198 2015 Pnt 1264 2074 Pnt 1329 2131 Pnt 1392 2186 Pnt 1453 2239 Pnt 1512 2291 Pnt 1572 2341 Pnt 1629 2390 Pnt 1762 2480 Pnt 1658 2398 Pnt 1557 2317 Pnt 1458 2237 Pnt 1361 2159 Pnt 1270 2081 Pnt 1182 2006 Pnt 1095 1932 Pnt 1009 1861 Pnt 925 1791 Pnt 843 1723 Pnt 923 1789 Pnt 1002 1853 Pnt 1078 1915 Pnt 1152 1976 Pnt 1224 2035 Pnt 1293 2092 Pnt 1361 2147 Pnt 1426 2201 Pnt 1489 2254 Pnt 1550 2305 Pnt 1954 2611 Pnt 1847 2529 Pnt 1742 2447 Pnt 1639 2366 Pnt 1538 2285 Pnt 1440 2206 Pnt 1345 2129 Pnt 1253 2053 Pnt 1163 1978 Pnt 1077 1905 Pnt 993 1834 Pnt 911 1765 Pnt 889 1742 Pnt 969 1807 Pnt 1046 1871 Pnt 1121 1932 Pnt 1194 1992 Pnt 1265 2051 Pnt 1334 2107 Pnt 1401 2162 Pnt 1465 2216 Pnt 2145 2739 Pnt 2039 2659 Pnt 1932 2577 Pnt 1826 2496 Pnt 1722 2414 Pnt 1620 2334 Pnt 1520 2254 Pnt 1424 2176 Pnt 1329 2099 Pnt 1238 2024 Pnt 1149 1950 Pnt 1063 1878 Pnt 980 1807 Pnt 900 1739 Pnt 935 1761 Pnt 1013 1825 Pnt 1090 1888 Pnt 1164 1949 Pnt 1236 2009 Pnt 1306 2067 Pnt 1374 2123 Pnt 2330 2859 Pnt 2228 2783 Pnt 2123 2705 Pnt 2016 2625 Pnt 1910 2544 Pnt 1806 2463 Pnt 1702 2382 Pnt 1601 2302 Pnt 1503 2223 Pnt 1407 2146 Pnt 1314 2069 Pnt 1223 1995 Pnt 1136 1922 Pnt 1051 1850 Pnt 968 1781 Pnt 901 1720 Pnt 981 1779 Pnt 1058 1843 Pnt 1134 1906 Pnt 1207 1966 Pnt 1278 2025 Pnt 2495 2961 Pnt 2405 2896 Pnt 2307 2824 Pnt 2205 2749 Pnt 2100 2671 Pnt 1995 2591 Pnt 1889 2510 Pnt 1785 2430 Pnt 1683 2350 Pnt 1583 2270 Pnt 1486 2192 Pnt 1391 2115 Pnt 1298 2040 Pnt 1209 1966 Pnt 1122 1894 Pnt 1038 1823 Pnt 956 1754 Pnt 948 1733 Pnt 1026 1798 Pnt 1103 1861 Pnt 1177 1923 Pnt 2624 3036 Pnt 2556 2987 Pnt 2474 2929 Pnt 2383 2862 Pnt 2285 2790 Pnt 2182 2715 Pnt 2078 2636 Pnt 1973 2557 Pnt 1869 2477 Pnt 1766 2397 Pnt 1664 2318 Pnt 1565 2239 Pnt 1469 2162 Pnt 1375 2086 Pnt 1283 2011 Pnt 1195 1938 Pnt 1109 1866 Pnt 1025 1796 Pnt 945 1728 Pnt 994 1751 Pnt 1072 1816 Pnt 2703 3072 Pnt 2665 3046 Pnt 2609 3007 Pnt 2538 2956 Pnt 2454 2896 Pnt 2361 2828 Pnt 2262 2756 Pnt 2160 2680 Pnt 2056 2602 Pnt 1952 2523 Pnt 1848 2444 Pnt 1746 2365 Pnt 1646 2286 Pnt 1548 2208 Pnt 1452 2131 Pnt 1359 2056 Pnt 1269 1982 Pnt 1181 1909 Pnt 1096 1838 Pnt 1013 1769 Pnt 962 1718 Pnt 2724 3063 Pnt 2720 3063 Pnt 2697 3048 Pnt 2654 3019 Pnt 2594 2977 Pnt 2519 2924 Pnt 2433 2862 Pnt 2339 2794 Pnt 2240 2722 Pnt 2138 2646 Pnt 2035 2569 Pnt 1931 2490 Pnt 1828 2411 Pnt 1727 2332 Pnt 1628 2254 Pnt 1531 2177 Pnt 1436 2101 Pnt 1344 2026 Pnt 1254 1953 Pnt 1167 1881 Pnt 1083 1811 Pnt 2695 3010 Pnt 2720 3035 Pnt 2728 3046 Pnt 2718 3042 Pnt 2689 3024 Pnt 2641 2991 Pnt 2577 2947 Pnt 2500 2892 Pnt 2412 2829 Pnt 2318 2761 Pnt 2218 2688 Pnt 2116 2612 Pnt 2013 2535 Pnt 1910 2457 Pnt 1809 2378 Pnt 1708 2300 Pnt 1610 2223 Pnt 1514 2146 Pnt 1420 2071 Pnt 1329 1997 Pnt 1240 1924 Pnt 2631 2919 Pnt 2675 2966 Pnt 2709 3000 Pnt 2728 3021 Pnt 2731 3028 Pnt 2715 3020 Pnt 2680 2998 Pnt 2628 2963 Pnt 2560 2916 Pnt 2481 2860 Pnt 2392 2796 Pnt 2296 2727 Pnt 2197 2654 Pnt 2095 2578 Pnt 1992 2501 Pnt 1890 2424 Pnt 1789 2346 Pnt 1690 2268 Pnt 1592 2192 Pnt 1497 2116 Pnt 1404 2041 Pnt 2549 2795 Pnt 2604 2860 Pnt 2652 2915 Pnt 2693 2959 Pnt 2721 2989 Pnt 2735 3006 Pnt 2731 3009 Pnt 2710 2998 Pnt 2670 2972 Pnt 2614 2934 Pnt 2543 2885 Pnt 2461 2827 Pnt 2371 2763 Pnt 2275 2693 Pnt 2175 2620 Pnt 2074 2545 Pnt 1972 2468 Pnt 1870 2391 Pnt 1770 2314 Pnt 1672 2237 Pnt 1575 2161 Pnt 1513 2142 Pnt 1573 2196 Pnt 1631 2249 Pnt 1688 2300 Pnt 1744 2349 Pnt 1798 2396 Pnt 1851 2442 Pnt 1902 2487 Pnt 1952 2530 Pnt 2002 2572 Pnt 2050 2613 Pnt 2097 2652 Pnt 2143 2689 Pnt 2188 2726 Pnt 2232 2761 Pnt 2276 2795 Pnt 2319 2828 Pnt 2361 2859 Pnt 2402 2890 Pnt 2443 2919 Pnt 2484 2947 Pnt 1394 2051 Pnt 1457 2108 Pnt 1519 2163 Pnt 1579 2217 Pnt 1637 2268 Pnt 1693 2319 Pnt 1749 2367 Pnt 1802 2414 Pnt 1855 2460 Pnt 1906 2504 Pnt 1956 2547 Pnt 2005 2588 Pnt 2053 2628 Pnt 2099 2667 Pnt 2145 2704 Pnt 2190 2740 Pnt 2235 2775 Pnt 2278 2809 Pnt 2321 2841 Pnt 2363 2872 Pnt 2404 2902 Pnt 1269 1955 Pnt 1336 2015 Pnt 1401 2073 Pnt 1464 2129 Pnt 1525 2184 Pnt 1584 2236 Pnt 1642 2288 Pnt 1698 2337 Pnt 1753 2386 Pnt 1807 2432 Pnt 1859 2478 Pnt 1910 2521 Pnt 1959 2564 Pnt 2008 2605 Pnt 2056 2644 Pnt 2102 2682 Pnt 2148 2719 Pnt 2193 2755 Pnt 2237 2789 Pnt 2280 2823 Pnt 2323 2855 Pnt 1138 1854 Pnt 1209 1917 Pnt 1277 1978 Pnt 1344 2037 Pnt 1408 2094 Pnt 1470 2150 Pnt 1531 2204 Pnt 1590 2256 Pnt 1647 2307 Pnt 1703 2356 Pnt 1758 2404 Pnt 1811 2450 Pnt 1863 2495 Pnt 1913 2538 Pnt 1963 2580 Pnt 2011 2621 Pnt 2059 2660 Pnt 2105 2698 Pnt 2151 2734 Pnt 2195 2769 Pnt 2239 2803 Pnt 1001 1749 Pnt 1075 1814 Pnt 1147 1878 Pnt 1217 1940 Pnt 1285 2000 Pnt 1351 2059 Pnt 1415 2115 Pnt 1477 2171 Pnt 1537 2224 Pnt 1596 2276 Pnt 1653 2326 Pnt 1708 2375 Pnt 1762 2422 Pnt 1815 2468 Pnt 1867 2512 Pnt 1917 2555 Pnt 1966 2596 Pnt 2014 2637 Pnt 2061 2675 Pnt 2108 2713 Pnt 2153 2749 Pnt 1034 1769 Pnt 951 1716 Pnt 1011 1773 Pnt 1085 1838 Pnt 1156 1901 Pnt 1226 1963 Pnt 1293 2023 Pnt 1358 2080 Pnt 1422 2137 Pnt 1483 2191 Pnt 1543 2244 Pnt 1601 2296 Pnt 1658 2345 Pnt 1713 2394 Pnt 1767 2440 Pnt 1819 2486 Pnt 1870 2529 Pnt 1920 2572 Pnt 1969 2613 Pnt 2017 2652 Pnt 2064 2691 Pnt 1159 1890 Pnt 1073 1819 Pnt 988 1750 Pnt 945 1732 Pnt 1021 1798 Pnt 1094 1862 Pnt 1165 1925 Pnt 1234 1986 Pnt 1301 2045 Pnt 1365 2102 Pnt 1428 2158 Pnt 1489 2212 Pnt 1549 2264 Pnt 1606 2315 Pnt 1663 2364 Pnt 1717 2412 Pnt 1771 2458 Pnt 1823 2503 Pnt 1874 2546 Pnt 1924 2588 Pnt 1973 2629 Pnt 1288 2016 Pnt 1199 1942 Pnt 1112 1869 Pnt 1026 1799 Pnt 942 1731 Pnt 956 1757 Pnt 1031 1822 Pnt 1103 1886 Pnt 1174 1948 Pnt 1242 2008 Pnt 1308 2067 Pnt 1372 2124 Pnt 1435 2179 Pnt 1495 2232 Pnt 1554 2284 Pnt 1612 2334 Pnt 1668 2383 Pnt 1722 2430 Pnt 1775 2476 Pnt 1827 2520 Pnt 1878 2563 Pnt 1420 2148 Pnt 1329 2070 Pnt 1239 1995 Pnt 1151 1921 Pnt 1064 1849 Pnt 979 1779 Pnt 897 1720 Pnt 966 1782 Pnt 1040 1847 Pnt 1112 1910 Pnt 1182 1971 Pnt 1250 2031 Pnt 1315 2089 Pnt 1379 2145 Pnt 1441 2199 Pnt 1501 2252 Pnt 1560 2304 Pnt 1617 2354 Pnt 1672 2402 Pnt 1726 2449 Pnt 1779 2494 Pnt 1552 2285 Pnt 1460 2204 Pnt 1369 2125 Pnt 1279 2048 Pnt 1190 1973 Pnt 1102 1900 Pnt 1017 1829 Pnt 933 1760 Pnt 900 1741 Pnt 976 1807 Pnt 1050 1871 Pnt 1121 1933 Pnt 1190 1994 Pnt 1258 2053 Pnt 1323 2111 Pnt 1386 2166 Pnt 1447 2220 Pnt 1507 2273 Pnt 1565 2323 Pnt 1622 2373 Pnt 1677 2421 Pnt 1682 2427 Pnt 1591 2343 Pnt 1499 2261 Pnt 1408 2181 Pnt 1318 2102 Pnt 1229 2026 Pnt 1141 1952 Pnt 1054 1879 Pnt 970 1809 Pnt 887 1741 Pnt 911 1766 Pnt 986 1832 Pnt 1059 1895 Pnt 1130 1957 Pnt 1199 2017 Pnt 1265 2075 Pnt 1330 2132 Pnt 1392 2187 Pnt 1453 2241 Pnt 1515 2292 Pnt 1574 2342 Pnt 1867 2560 Pnt 1761 2478 Pnt 1657 2396 Pnt 1555 2315 Pnt 1456 2235 Pnt 1360 2157 Pnt 1267 2080 Pnt 1179 2004 Pnt 1092 1931 Pnt 1006 1859 Pnt 923 1789 Pnt 846 1725 Pnt 926 1790 Pnt 1004 1854 Pnt 1080 1917 Pnt 1154 1977 Pnt 1226 2036 Pnt 1296 2093 Pnt 1363 2149 Pnt 1428 2203 Pnt 1491 2255 Pnt 2060 2691 Pnt 1952 2609 Pnt 1845 2527 Pnt 1740 2445 Pnt 1637 2364 Pnt 1537 2283 Pnt 1439 2204 Pnt 1344 2127 Pnt 1252 2051 Pnt 1162 1976 Pnt 1075 1903 Pnt 991 1832 Pnt 910 1763 Pnt 892 1744 Pnt 971 1809 Pnt 1049 1872 Pnt 1124 1934 Pnt 1197 1994 Pnt 1268 2052 Pnt 1336 2109 Pnt 1403 2164 Pnt 2249 2816 Pnt 2144 2737 Pnt 2037 2657 Pnt 1930 2575 Pnt 1825 2494 Pnt 1721 2412 Pnt 1619 2332 Pnt 1519 2252 Pnt 1422 2174 Pnt 1328 2097 Pnt 1237 2022 Pnt 1148 1948 Pnt 1062 1876 Pnt 979 1806 Pnt 899 1737 Pnt 938 1762 Pnt 1016 1827 Pnt 1093 1890 Pnt 1167 1951 Pnt 1239 2010 Pnt 1309 2068 Pnt 2425 2928 Pnt 2328 2857 Pnt 2226 2781 Pnt 2121 2703 Pnt 2015 2623 Pnt 1909 2542 Pnt 1804 2460 Pnt 1701 2380 Pnt 1600 2300 Pnt 1502 2221 Pnt 1406 2144 Pnt 1313 2067 Pnt 1222 1993 Pnt 1134 1920 Pnt 1049 1848 Pnt 967 1779 Pnt 904 1721 Pnt 984 1781 Pnt 1061 1845 Pnt 1136 1907 Pnt 1210 1968 Pnt 2572 3016 Pnt 2493 2959 Pnt 2403 2894 Pnt 2306 2822 Pnt 2203 2747 Pnt 2099 2668 Pnt 1993 2589 Pnt 1888 2508 Pnt 1784 2428 Pnt 1682 2348 Pnt 1582 2268 Pnt 1484 2190 Pnt 1389 2113 Pnt 1297 2038 Pnt 1208 1964 Pnt 1121 1892 Pnt 1037 1821 Pnt 955 1752 Pnt 951 1734 Pnt 1029 1799 Pnt 1106 1863 Pnt 2675 3071 Pnt 2623 3034 Pnt 2555 2985 Pnt 2473 2927 Pnt 2381 2860 Pnt 2283 2788 Pnt 2181 2712 Pnt 2076 2634 Pnt 1972 2555 Pnt 1867 2475 Pnt 1764 2395 Pnt 1663 2316 Pnt 1564 2237 Pnt 1467 2160 Pnt 1374 2084 Pnt 1282 2009 Pnt 1194 1936 Pnt 1108 1864 Pnt 1024 1794 Pnt 944 1726 Pnt 997 1753 Pnt 2720 3082 Pnt 2702 3071 Pnt 2665 3045 Pnt 2608 3005 Pnt 2537 2954 Pnt 2453 2894 Pnt 2360 2826 Pnt 2261 2754 Pnt 2159 2678 Pnt 2055 2600 Pnt 1950 2521 Pnt 1847 2442 Pnt 1745 2363 Pnt 1644 2284 Pnt 1546 2206 Pnt 1451 2129 Pnt 1358 2054 Pnt 1268 1980 Pnt 1180 1907 Pnt 1095 1837 Pnt 1012 1767 Pnt 2710 3047 Pnt 2724 3062 Pnt 2720 3062 Pnt 2696 3047 Pnt 2653 3017 Pnt 2593 2975 Pnt 2518 2922 Pnt 2432 2860 Pnt 2338 2792 Pnt 2239 2720 Pnt 2137 2644 Pnt 2033 2566 Pnt 1930 2488 Pnt 1827 2409 Pnt 1726 2330 Pnt 1626 2252 Pnt 1529 2175 Pnt 1435 2099 Pnt 1343 2024 Pnt 1253 1951 Pnt 1166 1879 Pnt 2657 2972 Pnt 2696 3010 Pnt 2720 3034 Pnt 2728 3045 Pnt 2718 3041 Pnt 2689 3022 Pnt 2641 2990 Pnt 2576 2945 Pnt 2499 2890 Pnt 2411 2827 Pnt 2316 2759 Pnt 2217 2686 Pnt 2115 2610 Pnt 2012 2533 Pnt 1909 2455 Pnt 1807 2376 Pnt 1707 2298 Pnt 1608 2221 Pnt 1512 2144 Pnt 1419 2069 Pnt 1328 1995 Pnt 2580 2861 Pnt 2632 2919 Pnt 2676 2965 Pnt 2709 3000 Pnt 2728 3021 Pnt 2731 3027 Pnt 2714 3019 Pnt 2679 2997 Pnt 2627 2961 Pnt 2559 2914 Pnt 2479 2858 Pnt 2390 2794 Pnt 2295 2725 Pnt 2195 2652 Pnt 2093 2576 Pnt 1991 2499 Pnt 1889 2422 Pnt 1788 2344 Pnt 1688 2266 Pnt 1591 2190 Pnt 1496 2114 Pnt 1568 2178 Pnt 1627 2231 Pnt 1684 2282 Pnt 1740 2332 Pnt 1794 2380 Pnt 1847 2426 Pnt 1899 2471 Pnt 1949 2515 Pnt 1999 2557 Pnt 2047 2598 Pnt 2094 2637 Pnt 2141 2676 Pnt 2186 2712 Pnt 2231 2748 Pnt 2274 2782 Pnt 2317 2815 Pnt 2360 2847 Pnt 2401 2878 Pnt 2442 2908 Pnt 2482 2936 Pnt 2522 2963 Pnt 1451 2088 Pnt 1513 2144 Pnt 1574 2198 Pnt 1632 2250 Pnt 1689 2301 Pnt 1745 2350 Pnt 1799 2398 Pnt 1851 2444 Pnt 1903 2488 Pnt 1953 2532 Pnt 2002 2573 Pnt 2050 2614 Pnt 2097 2653 Pnt 2143 2691 Pnt 2189 2727 Pnt 2233 2762 Pnt 2277 2796 Pnt 2319 2829 Pnt 2361 2860 Pnt 2403 2891 Pnt 2444 2920 Pnt 1329 1994 Pnt 1395 2053 Pnt 1458 2110 Pnt 1520 2165 Pnt 1579 2218 Pnt 1638 2270 Pnt 1694 2320 Pnt 1749 2369 Pnt 1803 2416 Pnt 1855 2461 Pnt 1907 2506 Pnt 1957 2548 Pnt 2005 2590 Pnt 2053 2630 Pnt 2100 2668 Pnt 2146 2706 Pnt 2191 2742 Pnt 2235 2776 Pnt 2279 2810 Pnt 2321 2842 Pnt 2363 2873 Pnt 1201 1895 Pnt 1270 1957 Pnt 1337 2016 Pnt 1402 2074 Pnt 1465 2131 Pnt 1526 2185 Pnt 1585 2238 Pnt 1643 2289 Pnt 1699 2339 Pnt 1754 2387 Pnt 1807 2434 Pnt 1859 2479 Pnt 1910 2523 Pnt 1960 2565 Pnt 2009 2606 Pnt 2056 2645 Pnt 2103 2684 Pnt 2149 2720 Pnt 2193 2756 Pnt 2238 2791 Pnt 2281 2824 Pnt 1066 1792 Pnt 1139 1856 Pnt 1210 1919 Pnt 1278 1979 Pnt 1345 2038 Pnt 1409 2096 Pnt 1471 2151 Pnt 1532 2205 Pnt 1591 2258 Pnt 1648 2308 Pnt 1704 2358 Pnt 1759 2405 Pnt 1812 2452 Pnt 1863 2496 Pnt 1914 2539 Pnt 1963 2581 Pnt 2012 2622 Pnt 2059 2661 Pnt 2106 2699 Pnt 2151 2735 Pnt 2196 2771 Pnt 993 1723 Pnt 1002 1750 Pnt 1076 1816 Pnt 1148 1880 Pnt 1218 1942 Pnt 1286 2002 Pnt 1352 2060 Pnt 1416 2117 Pnt 1478 2172 Pnt 1538 2226 Pnt 1596 2277 Pnt 1653 2328 Pnt 1709 2376 Pnt 1763 2424 Pnt 1816 2469 Pnt 1867 2513 Pnt 1918 2556 Pnt 1967 2598 Pnt 2015 2638 Pnt 2062 2676 Pnt 2108 2714 Pnt 1117 1837 Pnt 1031 1767 Pnt 948 1716 Pnt 1012 1775 Pnt 1086 1840 Pnt 1157 1903 Pnt 1227 1965 Pnt 1294 2024 Pnt 1359 2082 Pnt 1422 2138 Pnt 1484 2193 Pnt 1544 2246 Pnt 1602 2297 Pnt 1658 2347 Pnt 1714 2395 Pnt 1767 2442 Pnt 1820 2487 Pnt 1871 2531 Pnt 1921 2573 Pnt 1970 2614 Pnt 2018 2654 Pnt 1245 1961 Pnt 1157 1888 Pnt 1070 1817 Pnt 985 1748 Pnt 946 1734 Pnt 1022 1800 Pnt 1095 1864 Pnt 1166 1927 Pnt 1235 1987 Pnt 1302 2046 Pnt 1366 2104 Pnt 1429 2159 Pnt 1490 2213 Pnt 1549 2266 Pnt 1607 2316 Pnt 1663 2366 Pnt 1718 2413 Pnt 1772 2460 Pnt 1824 2504 Pnt 1875 2548 Pnt 1925 2590 Pnt 1376 2091 Pnt 1285 2015 Pnt 1196 1940 Pnt 1109 1868 Pnt 1023 1798 Pnt 939 1729 Pnt 957 1759 Pnt 1032 1824 Pnt 1104 1888 Pnt 1175 1950 Pnt 1243 2010 Pnt 1309 2068 Pnt 1373 2125 Pnt 1436 2180 Pnt 1496 2234 Pnt 1555 2286 Pnt 1612 2336 Pnt 1668 2385 Pnt 1723 2432 Pnt 1776 2478 Pnt 1828 2522 Pnt 1509 2226 Pnt 1417 2146 Pnt 1326 2069 Pnt 1236 1993 Pnt 1148 1919 Pnt 1061 1848 Pnt 977 1778 Pnt 894 1719 Pnt 967 1784 Pnt 1041 1849 Pnt 1113 1912 Pnt 1183 1973 Pnt 1251 2032 Pnt 1316 2090 Pnt 1380 2146 Pnt 1442 2201 Pnt 1502 2254 Pnt 1561 2305 Pnt 1617 2355 Pnt 1673 2403 Pnt 1727 2450 Pnt 1641 2366 Pnt 1549 2283 Pnt 1457 2202 Pnt 1366 2123 Pnt 1276 2046 Pnt 1187 1971 Pnt 1099 1899 Pnt 1014 1828 Pnt 930 1759 Pnt 901 1743 Pnt 977 1809 Pnt 1051 1873 Pnt 1122 1935 Pnt 1191 1996 Pnt 1258 2055 Pnt 1323 2112 Pnt 1387 2168 Pnt 1448 2222 Pnt 1508 2274 Pnt 1566 2325 Pnt 1622 2374 Pnt 1780 2509 Pnt 1679 2425 Pnt 1588 2341 Pnt 1496 2259 Pnt 1405 2179 Pnt 1315 2101 Pnt 1226 2024 Pnt 1138 1950 Pnt 1051 1878 Pnt 967 1808 Pnt 884 1739 Pnt 912 1768 Pnt 987 1833 Pnt 1060 1897 Pnt 1131 1959 Pnt 1199 2019 Pnt 1266 2077 Pnt 1330 2134 Pnt 1393 2189 Pnt 1456 2242 Pnt 1517 2293 Pnt 1973 2641 Pnt 1865 2558 Pnt 1759 2476 Pnt 1655 2394 Pnt 1554 2313 Pnt 1455 2233 Pnt 1359 2155 Pnt 1266 2078 Pnt 1176 2003 Pnt 1089 1929 Pnt 1003 1858 Pnt 921 1788 Pnt 849 1726 Pnt 929 1792 Pnt 1007 1856 Pnt 1083 1918 Pnt 1157 1978 Pnt 1229 2037 Pnt 1298 2094 Pnt 1366 2150 Pnt 1431 2204 Pnt 2165 2770 Pnt 2058 2689 Pnt 1951 2607 Pnt 1844 2525 Pnt 1739 2443 Pnt 1636 2361 Pnt 1536 2281 Pnt 1438 2202 Pnt 1343 2125 Pnt 1250 2049 Pnt 1161 1974 Pnt 1074 1902 Pnt 990 1831 Pnt 909 1761 Pnt 895 1745 Pnt 974 1810 Pnt 1051 1874 Pnt 1126 1935 Pnt 1199 1995 Pnt 1270 2053 Pnt 1339 2110 Pnt 2349 2889 Pnt 2247 2814 Pnt 2142 2735 Pnt 2035 2655 Pnt 1929 2573 Pnt 1823 2491 Pnt 1719 2410 Pnt 1617 2330 Pnt 1518 2250 Pnt 1421 2172 Pnt 1327 2095 Pnt 1236 2020 Pnt 1147 1946 Pnt 1061 1874 Pnt 978 1804 Pnt 898 1735 Pnt 941 1764 Pnt 1019 1828 Pnt 1095 1891 Pnt 1170 1952 Pnt 1242 2011 Pnt 2512 2990 Pnt 2423 2926 Pnt 2327 2855 Pnt 2224 2779 Pnt 2119 2701 Pnt 2013 2620 Pnt 1907 2539 Pnt 1803 2458 Pnt 1700 2378 Pnt 1599 2298 Pnt 1500 2219 Pnt 1404 2142 Pnt 1311 2065 Pnt 1221 1991 Pnt 1133 1918 Pnt 1048 1847 Pnt 966 1777 Pnt 907 1721 Pnt 986 1782 Pnt 1064 1846 Pnt 1139 1908 Pnt 2636 3061 Pnt 2571 3015 Pnt 2492 2957 Pnt 2402 2892 Pnt 2304 2820 Pnt 2202 2745 Pnt 2097 2666 Pnt 1992 2586 Pnt 1886 2506 Pnt 1782 2426 Pnt 1680 2346 Pnt 1580 2266 Pnt 1483 2188 Pnt 1388 2111 Pnt 1296 2036 Pnt 1207 1962 Pnt 1120 1890 Pnt 1036 1819 Pnt 954 1750 Pnt 953 1735 Pnt 1032 1801 Pnt 2707 3092 Pnt 2674 3069 Pnt 2622 3033 Pnt 2554 2984 Pnt 2472 2925 Pnt 2380 2858 Pnt 2282 2786 Pnt 2179 2710 Pnt 2075 2632 Pnt 1970 2553 Pnt 1866 2473 Pnt 1763 2393 Pnt 1662 2314 Pnt 1563 2235 Pnt 1466 2158 Pnt 1372 2082 Pnt 1281 2007 Pnt 1192 1934 Pnt 1107 1862 Pnt 1023 1792 Pnt 943 1724 Pnt 2719 3077 Pnt 2720 3081 Pnt 2702 3069 Pnt 2664 3043 Pnt 2607 3003 Pnt 2535 2952 Pnt 2451 2892 Pnt 2358 2824 Pnt 2259 2752 Pnt 2157 2676 Pnt 2053 2598 Pnt 1949 2519 Pnt 1845 2440 Pnt 1743 2360 Pnt 1643 2282 Pnt 1545 2204 Pnt 1450 2127 Pnt 1357 2052 Pnt 1266 1978 Pnt 1179 1906 Pnt 1094 1835 Pnt 2681 3018 Pnt 2711 3046 Pnt 2724 3061 Pnt 2720 3061 Pnt 2696 3045 Pnt 2652 3016 Pnt 2592 2973 Pnt 2517 2920 Pnt 2431 2858 Pnt 2336 2790 Pnt 2237 2718 Pnt 2135 2642 Pnt 2032 2564 Pnt 1928 2486 Pnt 1825 2407 Pnt 1724 2328 Pnt 1625 2250 Pnt 1528 2173 Pnt 1433 2097 Pnt 1341 2022 Pnt 1252 1949 Pnt 2610 2921 Pnt 2658 2971 Pnt 2696 3009 Pnt 2721 3034 Pnt 2728 3044 Pnt 2718 3040 Pnt 2688 3021 Pnt 2640 2988 Pnt 2575 2943 Pnt 2498 2888 Pnt 2410 2825 Pnt 2315 2757 Pnt 2215 2684 Pnt 2113 2608 Pnt 2010 2531 Pnt 1908 2453 Pnt 1806 2374 Pnt 1705 2296 Pnt 1607 2219 Pnt 1511 2142 Pnt 1417 2067 Pnt 1622 2212 Pnt 1679 2264 Pnt 1736 2314 Pnt 1790 2363 Pnt 1844 2410 Pnt 1896 2455 Pnt 1946 2499 Pnt 1996 2542 Pnt 2045 2583 Pnt 2092 2623 Pnt 2138 2662 Pnt 2184 2699 Pnt 2229 2735 Pnt 2273 2769 Pnt 2316 2803 Pnt 2358 2835 Pnt 2400 2866 Pnt 2441 2896 Pnt 2481 2925 Pnt 2521 2952 Pnt 2561 2979 Pnt 1508 2125 Pnt 1568 2179 Pnt 1627 2232 Pnt 1685 2283 Pnt 1740 2333 Pnt 1795 2381 Pnt 1848 2428 Pnt 1900 2473 Pnt 1950 2516 Pnt 1999 2558 Pnt 2048 2599 Pnt 2095 2639 Pnt 2141 2677 Pnt 2187 2714 Pnt 2231 2749 Pnt 2275 2783 Pnt 2318 2816 Pnt 2360 2848 Pnt 2402 2879 Pnt 2443 2909 Pnt 2483 2937 Pnt 1388 2033 Pnt 1452 2090 Pnt 1514 2146 Pnt 1574 2200 Pnt 1633 2252 Pnt 1690 2302 Pnt 1745 2352 Pnt 1799 2399 Pnt 1852 2445 Pnt 1903 2490 Pnt 1954 2533 Pnt 2003 2575 Pnt 2051 2615 Pnt 2098 2654 Pnt 2144 2692 Pnt 2189 2728 Pnt 2234 2763 Pnt 2277 2797 Pnt 2320 2830 Pnt 2362 2861 Pnt 2404 2892 Pnt 1263 1936 Pnt 1330 1996 Pnt 1396 2054 Pnt 1459 2111 Pnt 1520 2166 Pnt 1580 2220 Pnt 1638 2271 Pnt 1695 2321 Pnt 1750 2370 Pnt 1804 2417 Pnt 1856 2463 Pnt 1907 2507 Pnt 1957 2550 Pnt 2006 2591 Pnt 2054 2631 Pnt 2101 2669 Pnt 2147 2707 Pnt 2192 2743 Pnt 2236 2778 Pnt 2279 2811 Pnt 2322 2843 Pnt 1131 1834 Pnt 1202 1897 Pnt 1271 1958 Pnt 1338 2018 Pnt 1403 2076 Pnt 1466 2132 Pnt 1527 2187 Pnt 1586 2239 Pnt 1644 2291 Pnt 1700 2340 Pnt 1755 2388 Pnt 1808 2435 Pnt 1860 2480 Pnt 1911 2524 Pnt 1961 2566 Pnt 2009 2607 Pnt 2057 2647 Pnt 2104 2685 Pnt 2149 2722 Pnt 2194 2757 Pnt 2238 2792 Pnt 992 1727 Pnt 1067 1793 Pnt 1140 1858 Pnt 1211 1920 Pnt 1279 1981 Pnt 1345 2040 Pnt 1410 2097 Pnt 1472 2153 Pnt 1533 2207 Pnt 1592 2259 Pnt 1649 2310 Pnt 1705 2359 Pnt 1759 2407 Pnt 1812 2453 Pnt 1864 2498 Pnt 1915 2541 Pnt 1964 2583 Pnt 2012 2623 Pnt 2060 2662 Pnt 2106 2700 Pnt 2152 2736 Pnt 1075 1785 Pnt 990 1722 Pnt 1003 1752 Pnt 1077 1818 Pnt 1149 1881 Pnt 1219 1943 Pnt 1287 2003 Pnt 1353 2062 Pnt 1417 2119 Pnt 1478 2174 Pnt 1539 2227 Pnt 1597 2279 Pnt 1654 2329 Pnt 1710 2378 Pnt 1764 2425 Pnt 1816 2471 Pnt 1868 2515 Pnt 1918 2558 Pnt 1967 2599 Pnt 2016 2639 Pnt 2063 2678 Pnt 1201 1907 Pnt 1114 1836 Pnt 1029 1766 Pnt 945 1715 Pnt 1013 1777 Pnt 1087 1842 Pnt 1158 1905 Pnt 1228 1966 Pnt 1295 2026 Pnt 1360 2084 Pnt 1423 2140 Pnt 1485 2194 Pnt 1544 2247 Pnt 1603 2298 Pnt 1659 2348 Pnt 1714 2396 Pnt 1768 2443 Pnt 1820 2488 Pnt 1872 2532 Pnt 1922 2574 Pnt 1971 2615 Pnt 1332 2035 Pnt 1242 1960 Pnt 1154 1887 Pnt 1067 1816 Pnt 983 1747 Pnt 947 1735 Pnt 1023 1801 Pnt 1096 1866 Pnt 1167 1928 Pnt 1236 1989 Pnt 1302 2048 Pnt 1367 2105 Pnt 1430 2161 Pnt 1491 2215 Pnt 1550 2267 Pnt 1608 2318 Pnt 1664 2367 Pnt 1719 2415 Pnt 1772 2461 Pnt 1824 2506 Pnt 1875 2549 Pnt 1465 2168 Pnt 1373 2089 Pnt 1282 2013 Pnt 1193 1939 Pnt 1106 1866 Pnt 1020 1796 Pnt 937 1728 Pnt 958 1761 Pnt 1033 1826 Pnt 1105 1890 Pnt 1176 1951 Pnt 1244 2012 Pnt 1310 2070 Pnt 1374 2127 Pnt 1436 2182 Pnt 1497 2235 Pnt 1556 2287 Pnt 1613 2337 Pnt 1669 2386 Pnt 1723 2433 Pnt 1776 2479 Pnt 1598 2306 Pnt 1506 2225 Pnt 1414 2145 Pnt 1323 2067 Pnt 1233 1991 Pnt 1145 1918 Pnt 1058 1846 Pnt 974 1776 Pnt 891 1719 Pnt 968 1786 Pnt 1042 1850 Pnt 1114 1913 Pnt 1184 1975 Pnt 1252 2034 Pnt 1317 2092 Pnt 1381 2148 Pnt 1443 2203 Pnt 1503 2255 Pnt 1561 2307 Pnt 1618 2357 Pnt 1674 2405 Pnt 1730 2449 Pnt 1638 2365 Pnt 1546 2282 Pnt 1454 2201 Pnt 1363 2122 Pnt 1273 2045 Pnt 1184 1970 Pnt 1097 1897 Pnt 1011 1826 Pnt 927 1757 Pnt 902 1744 Pnt 978 1810 Pnt 1052 1874 Pnt 1123 1937 Pnt 1192 1998 Pnt 1259 2056 Pnt 1324 2114 Pnt 1387 2169 Pnt 1449 2223 Pnt 1509 2276 Pnt 1567 2326 Pnt 1885 2590 Pnt 1778 2506 Pnt 1676 2423 Pnt 1585 2339 Pnt 1493 2257 Pnt 1402 2177 Pnt 1312 2099 Pnt 1223 2023 Pnt 1135 1949 Pnt 1048 1876 Pnt 964 1806 Pnt 881 1738 Pnt 913 1770 Pnt 988 1835 Pnt 1061 1899 Pnt 1132 1960 Pnt 1200 2020 Pnt 1267 2079 Pnt 1331 2135 Pnt 1394 2190 Pnt 1458 2243 Pnt 2079 2721 Pnt 1971 2639 Pnt 1864 2556 Pnt 1758 2473 Pnt 1654 2391 Pnt 1552 2311 Pnt 1454 2231 Pnt 1358 2153 Pnt 1264 2076 Pnt 1174 2001 Pnt 1086 1927 Pnt 1002 1856 Pnt 920 1786 Pnt 852 1728 Pnt 932 1793 Pnt 1010 1857 Pnt 1086 1919 Pnt 1160 1980 Pnt 1231 2039 Pnt 1301 2096 Pnt 1368 2151 Pnt 2269 2846 Pnt 2164 2768 Pnt 2056 2687 Pnt 1949 2605 Pnt 1842 2523 Pnt 1737 2441 Pnt 1635 2359 Pnt 1534 2279 Pnt 1436 2200 Pnt 1341 2123 Pnt 1249 2047 Pnt 1160 1972 Pnt 1073 1900 Pnt 989 1829 Pnt 908 1760 Pnt 898 1746 Pnt 977 1812 Pnt 1054 1875 Pnt 1129 1937 Pnt 1202 1996 Pnt 1273 2055 Pnt 2444 2957 Pnt 2348 2887 Pnt 2246 2812 Pnt 2141 2733 Pnt 2034 2652 Pnt 1927 2571 Pnt 1822 2489 Pnt 1718 2408 Pnt 1616 2327 Pnt 1516 2248 Pnt 1420 2170 Pnt 1326 2093 Pnt 1234 2018 Pnt 1146 1944 Pnt 1060 1872 Pnt 977 1802 Pnt 896 1733 Pnt 944 1765 Pnt 1022 1830 Pnt 1098 1892 Pnt 1172 1953 Pnt 2587 3044 Pnt 2511 2988 Pnt 2422 2924 Pnt 2325 2853 Pnt 2223 2777 Pnt 2118 2698 Pnt 2012 2618 Pnt 1906 2537 Pnt 1801 2456 Pnt 1698 2376 Pnt 1597 2296 Pnt 1499 2217 Pnt 1403 2140 Pnt 1310 2063 Pnt 1220 1989 Pnt 1132 1916 Pnt 1047 1845 Pnt 965 1775 Pnt 910 1722 Pnt 989 1784 Pnt 1066 1848 Pnt 2683 3093 Pnt 2635 3060 Pnt 2570 3013 Pnt 2491 2955 Pnt 2400 2890 Pnt 2303 2818 Pnt 2200 2743 Pnt 2096 2664 Pnt 1990 2584 Pnt 1885 2504 Pnt 1781 2423 Pnt 1679 2343 Pnt 1579 2264 Pnt 1482 2186 Pnt 1387 2109 Pnt 1295 2034 Pnt 1205 1960 Pnt 1119 1888 Pnt 1035 1818 Pnt 953 1749 Pnt 956 1737 Pnt 2719 3098 Pnt 2706 3091 Pnt 2674 3068 Pnt 2621 3031 Pnt 2552 2982 Pnt 2470 2923 Pnt 2379 2856 Pnt 2280 2784 Pnt 2178 2708 Pnt 2073 2630 Pnt 1969 2551 Pnt 1864 2471 Pnt 1761 2391 Pnt 1660 2311 Pnt 1561 2233 Pnt 1465 2156 Pnt 1371 2080 Pnt 1280 2005 Pnt 1191 1932 Pnt 1105 1860 Pnt 1022 1790 Pnt 2699 3057 Pnt 2719 3076 Pnt 2720 3079 Pnt 2702 3068 Pnt 2663 3041 Pnt 2606 3002 Pnt 2534 2950 Pnt 2450 2890 Pnt 2357 2822 Pnt 2258 2750 Pnt 2156 2674 Pnt 2052 2596 Pnt 1947 2517 Pnt 1844 2438 Pnt 1742 2358 Pnt 1642 2280 Pnt 1544 2202 Pnt 1448 2125 Pnt 1355 2050 Pnt 1265 1976 Pnt 1177 1904 Pnt 2639 2976 Pnt 2681 3017 Pnt 2711 3046 Pnt 2725 3060 Pnt 2720 3060 Pnt 2695 3044 Pnt 2652 3014 Pnt 2591 2972 Pnt 2515 2918 Pnt 2429 2857 Pnt 2335 2788 Pnt 2236 2716 Pnt 2134 2640 Pnt 2030 2562 Pnt 1927 2484 Pnt 1824 2405 Pnt 1723 2326 Pnt 1624 2248 Pnt 1527 2171 Pnt 1432 2095 Pnt 1340 2020 Pnt 1675 2246 Pnt 1731 2297 Pnt 1786 2346 Pnt 1840 2393 Pnt 1892 2439 Pnt 1943 2484 Pnt 1993 2527 Pnt 2042 2568 Pnt 2090 2609 Pnt 2136 2648 Pnt 2182 2685 Pnt 2227 2721 Pnt 2271 2756 Pnt 2314 2790 Pnt 2357 2823 Pnt 2399 2854 Pnt 2440 2884 Pnt 2480 2914 Pnt 2520 2941 Pnt 2560 2968 Pnt 2599 2994 Pnt 1563 2161 Pnt 1622 2214 Pnt 1680 2266 Pnt 1736 2316 Pnt 1791 2364 Pnt 1844 2411 Pnt 1896 2457 Pnt 1947 2501 Pnt 1997 2543 Pnt 2045 2585 Pnt 2093 2624 Pnt 2139 2663 Pnt 2185 2700 Pnt 2229 2736 Pnt 2273 2771 Pnt 2316 2804 Pnt 2359 2836 Pnt 2400 2867 Pnt 2442 2897 Pnt 2482 2926 Pnt 2522 2953 Pnt 1446 2070 Pnt 1509 2126 Pnt 1569 2181 Pnt 1628 2234 Pnt 1685 2285 Pnt 1741 2334 Pnt 1796 2382 Pnt 1849 2429 Pnt 1900 2474 Pnt 1951 2518 Pnt 2000 2560 Pnt 2048 2600 Pnt 2096 2640 Pnt 2142 2678 Pnt 2187 2715 Pnt 2232 2750 Pnt 2275 2784 Pnt 2318 2817 Pnt 2361 2849 Pnt 2402 2880 Pnt 2443 2910 Pnt 1323 1975 Pnt 1389 2034 Pnt 1453 2092 Pnt 1515 2147 Pnt 1575 2201 Pnt 1634 2253 Pnt 1691 2304 Pnt 1746 2353 Pnt 1800 2401 Pnt 1853 2447 Pnt 1904 2491 Pnt 1954 2534 Pnt 2003 2576 Pnt 2051 2616 Pnt 2098 2655 Pnt 2145 2693 Pnt 2190 2729 Pnt 2234 2764 Pnt 2278 2798 Pnt 2321 2831 Pnt 2363 2862 Pnt 1194 1875 Pnt 1264 1937 Pnt 1331 1998 Pnt 1396 2056 Pnt 1460 2113 Pnt 1521 2168 Pnt 1581 2221 Pnt 1639 2273 Pnt 1696 2323 Pnt 1751 2371 Pnt 1804 2419 Pnt 1857 2464 Pnt 1908 2508 Pnt 1958 2551 Pnt 2007 2592 Pnt 2055 2632 Pnt 2101 2671 Pnt 2147 2708 Pnt 2192 2744 Pnt 2236 2779 Pnt 2280 2812 Pnt 1059 1771 Pnt 1132 1836 Pnt 1203 1899 Pnt 1272 1960 Pnt 1339 2020 Pnt 1404 2078 Pnt 1466 2134 Pnt 1527 2188 Pnt 1587 2241 Pnt 1644 2292 Pnt 1701 2342 Pnt 1755 2390 Pnt 1809 2436 Pnt 1861 2482 Pnt 1912 2525 Pnt 1961 2567 Pnt 2010 2608 Pnt 2058 2648 Pnt 2104 2686 Pnt 2150 2723 Pnt 2195 2758 Pnt 1033 1735 Pnt 993 1729 Pnt 1068 1795 Pnt 1141 1859 Pnt 1212 1922 Pnt 1280 1983 Pnt 1346 2042 Pnt 1411 2099 Pnt 1473 2154 Pnt 1533 2208 Pnt 1592 2261 Pnt 1650 2311 Pnt 1706 2361 Pnt 1760 2408 Pnt 1813 2454 Pnt 1865 2499 Pnt 1915 2542 Pnt 1965 2584 Pnt 2013 2624 Pnt 2060 2663 Pnt 2107 2701 Pnt 1158 1854 Pnt 1072 1784 Pnt 988 1722 Pnt 1004 1754 Pnt 1078 1819 Pnt 1150 1883 Pnt 1220 1945 Pnt 1288 2005 Pnt 1354 2064 Pnt 1417 2120 Pnt 1479 2175 Pnt 1539 2229 Pnt 1598 2280 Pnt 1655 2331 Pnt 1710 2379 Pnt 1764 2426 Pnt 1817 2472 Pnt 1869 2516 Pnt 1919 2559 Pnt 1968 2600 Pnt 2016 2640 Pnt 1288 1979 Pnt 1199 1906 Pnt 1111 1834 Pnt 1026 1765 Pnt 942 1715 Pnt 1014 1779 Pnt 1088 1843 Pnt 1159 1907 Pnt 1228 1968 Pnt 1296 2027 Pnt 1361 2085 Pnt 1424 2141 Pnt 1486 2196 Pnt 1545 2249 Pnt 1603 2300 Pnt 1660 2350 Pnt 1715 2398 Pnt 1769 2444 Pnt 1821 2490 Pnt 1872 2533 Pnt 1922 2576 Pnt 1420 2110 Pnt 1329 2033 Pnt 1239 1958 Pnt 1151 1885 Pnt 1064 1814 Pnt 980 1745 Pnt 948 1737 Pnt 1024 1803 Pnt 1097 1867 Pnt 1168 1930 Pnt 1237 1991 Pnt 1303 2050 Pnt 1368 2107 Pnt 1431 2162 Pnt 1492 2216 Pnt 1551 2269 Pnt 1609 2319 Pnt 1665 2369 Pnt 1720 2416 Pnt 1773 2462 Pnt 1825 2507 Pnt 1555 2247 Pnt 1462 2166 Pnt 1370 2088 Pnt 1279 2011 Pnt 1190 1937 Pnt 1103 1865 Pnt 1017 1795 Pnt 934 1726 Pnt 959 1762 Pnt 1034 1828 Pnt 1106 1891 Pnt 1176 1953 Pnt 1245 2013 Pnt 1311 2072 Pnt 1375 2128 Pnt 1437 2183 Pnt 1498 2237 Pnt 1557 2288 Pnt 1614 2339 Pnt 1670 2387 Pnt 1724 2435 Pnt 1688 2388 Pnt 1595 2305 Pnt 1503 2223 Pnt 1411 2143 Pnt 1320 2065 Pnt 1230 1990 Pnt 1142 1916 Pnt 1055 1845 Pnt 971 1775 Pnt 893 1721 Pnt 969 1787 Pnt 1043 1852 Pnt 1115 1915 Pnt 1185 1976 Pnt 1252 2036 Pnt 1318 2094 Pnt 1382 2150 Pnt 1443 2204 Pnt 1504 2257 Pnt 1562 2308 Pnt 1619 2358 Pnt 1818 2534 Pnt 1727 2447 Pnt 1635 2363 Pnt 1543 2280 Pnt 1451 2199 Pnt 1360 2120 Pnt 1270 2043 Pnt 1181 1968 Pnt 1094 1895 Pnt 1008 1825 Pnt 924 1756 Pnt 903 1746 Pnt 979 1812 Pnt 1053 1876 Pnt 1124 1939 Pnt 1193 1999 Pnt 1260 2058 Pnt 1325 2115 Pnt 1388 2171 Pnt 1450 2225 Pnt 1509 2277 Pnt 1992 2671 Pnt 1884 2588 Pnt 1777 2504 Pnt 1673 2422 Pnt 1581 2338 Pnt 1490 2256 Pnt 1399 2176 Pnt 1309 2097 Pnt 1220 2021 Pnt 1132 1947 Pnt 1046 1875 Pnt 961 1805 Pnt 878 1736 Pnt 914 1772 Pnt 989 1837 Pnt 1062 1900 Pnt 1133 1962 Pnt 1201 2022 Pnt 1268 2080 Pnt 1332 2137 Pnt 1397 2192 Pnt 2185 2800 Pnt 2078 2719 Pnt 1969 2637 Pnt 1862 2554 Pnt 1756 2471 Pnt 1652 2389 Pnt 1551 2309 Pnt 1452 2229 Pnt 1356 2151 Pnt 1263 2074 Pnt 1173 1999 Pnt 1085 1926 Pnt 1001 1854 Pnt 919 1784 Pnt 855 1729 Pnt 935 1795 Pnt 1013 1859 Pnt 1089 1921 Pnt 1162 1981 Pnt 1234 2040 Pnt 1303 2097 Pnt 2369 2919 Pnt 2267 2844 Pnt 2162 2765 Pnt 2055 2685 Pnt 1947 2603 Pnt 1841 2520 Pnt 1736 2439 Pnt 1633 2357 Pnt 1533 2277 Pnt 1435 2198 Pnt 1340 2121 Pnt 1248 2045 Pnt 1159 1970 Pnt 1072 1898 Pnt 988 1827 Pnt 907 1758 Pnt 901 1748 Pnt 980 1813 Pnt 1057 1876 Pnt 1132 1938 Pnt 1205 1998 Pnt 2529 3018 Pnt 2442 2955 Pnt 2346 2885 Pnt 2244 2809 Pnt 2139 2731 Pnt 2032 2650 Pnt 1926 2569 Pnt 1820 2487 Pnt 1716 2406 Pnt 1614 2325 Pnt 1515 2246 Pnt 1418 2168 Pnt 1324 2091 Pnt 1233 2016 Pnt 1145 1942 Pnt 1059 1870 Pnt 976 1800 Pnt 895 1732 Pnt 946 1767 Pnt 1025 1831 Pnt 1101 1894 Pnt 2647 3086 Pnt 2586 3042 Pnt 2509 2986 Pnt 2421 2921 Pnt 2324 2850 Pnt 2221 2775 Pnt 2116 2696 Pnt 2010 2616 Pnt 1904 2535 Pnt 1800 2454 Pnt 1697 2374 Pnt 1596 2294 Pnt 1498 2215 Pnt 1402 2138 Pnt 1309 2062 Pnt 1218 1987 Pnt 1131 1914 Pnt 1046 1843 Pnt 964 1773 Pnt 913 1722 Pnt 992 1785 Pnt 2709 3111 Pnt 2682 3092 Pnt 2634 3058 Pnt 2569 3011 Pnt 2489 2953 Pnt 2399 2888 Pnt 2301 2816 Pnt 2199 2740 Pnt 2094 2662 Pnt 1988 2582 Pnt 1883 2502 Pnt 1780 2421 Pnt 1678 2341 Pnt 1578 2262 Pnt 1480 2184 Pnt 1386 2107 Pnt 1294 2032 Pnt 1204 1958 Pnt 1117 1886 Pnt 1033 1816 Pnt 952 1747 Pnt 2711 3089 Pnt 2719 3097 Pnt 2706 3089 Pnt 2673 3066 Pnt 2620 3029 Pnt 2551 2980 Pnt 2469 2921 Pnt 2377 2854 Pnt 2279 2782 Pnt 2176 2706 Pnt 2072 2628 Pnt 1967 2548 Pnt 1863 2469 Pnt 1760 2389 Pnt 1659 2309 Pnt 1560 2231 Pnt 1464 2154 Pnt 1370 2078 Pnt 1279 2003 Pnt 1190 1930 Pnt 1104 1858 Pnt 2665 3024 Pnt 2700 3057 Pnt 2719 3075 Pnt 2720 3078 Pnt 2701 3066 Pnt 2662 3040 Pnt 2605 3000 Pnt 2533 2948 Pnt 2448 2888 Pnt 2355 2820 Pnt 2256 2748 Pnt 2154 2672 Pnt 2050 2594 Pnt 1946 2515 Pnt 1842 2436 Pnt 1740 2356 Pnt 1640 2278 Pnt 1542 2200 Pnt 1447 2123 Pnt 1354 2048 Pnt 1264 1974 Pnt 1727 2279 Pnt 1782 2329 Pnt 1836 2377 Pnt 1889 2423 Pnt 1940 2468 Pnt 1990 2512 Pnt 2039 2554 Pnt 2087 2594 Pnt 2134 2634 Pnt 2180 2671 Pnt 2225 2708 Pnt 2269 2744 Pnt 2313 2778 Pnt 2355 2811 Pnt 2397 2842 Pnt 2439 2873 Pnt 2479 2902 Pnt 2519 2930 Pnt 2559 2958 Pnt 2598 2984 Pnt 2636 3009 Pnt 1617 2196 Pnt 1676 2248 Pnt 1732 2298 Pnt 1787 2347 Pnt 1841 2395 Pnt 1893 2441 Pnt 1944 2485 Pnt 1994 2528 Pnt 2043 2570 Pnt 2090 2610 Pnt 2137 2649 Pnt 2183 2686 Pnt 2228 2723 Pnt 2272 2758 Pnt 2315 2791 Pnt 2357 2824 Pnt 2399 2855 Pnt 2440 2885 Pnt 2481 2914 Pnt 2521 2942 Pnt 2560 2969 Pnt 1503 2107 Pnt 1564 2162 Pnt 1623 2215 Pnt 1681 2267 Pnt 1737 2317 Pnt 1792 2366 Pnt 1845 2413 Pnt 1897 2458 Pnt 1948 2502 Pnt 1997 2545 Pnt 2046 2586 Pnt 2093 2626 Pnt 2140 2664 Pnt 2185 2701 Pnt 2230 2737 Pnt 2274 2772 Pnt 2317 2805 Pnt 2359 2837 Pnt 2401 2868 Pnt 2442 2898 Pnt 2483 2927 Pnt 1383 2014 Pnt 1447 2072 Pnt 1509 2128 Pnt 1570 2182 Pnt 1629 2235 Pnt 1686 2286 Pnt 1742 2336 Pnt 1796 2384 Pnt 1849 2430 Pnt 1901 2475 Pnt 1951 2519 Pnt 2001 2561 Pnt 2049 2602 Pnt 2096 2641 Pnt 2142 2679 Pnt 2188 2716 Pnt 2232 2751 Pnt 2276 2786 Pnt 2319 2819 Pnt 2361 2850 Pnt 2403 2881 Pnt 1256 1916 Pnt 1324 1977 Pnt 1390 2036 Pnt 1454 2093 Pnt 1516 2149 Pnt 1576 2203 Pnt 1634 2255 Pnt 1691 2305 Pnt 1747 2354 Pnt 1801 2402 Pnt 1853 2448 Pnt 1905 2492 Pnt 1955 2536 Pnt 2004 2577 Pnt 2052 2618 Pnt 2099 2657 Pnt 2145 2694 Pnt 2190 2731 Pnt 2235 2766 Pnt 2278 2799 Pnt 2321 2832 Pnt 1124 1813 Pnt 1195 1877 Pnt 1265 1939 Pnt 1332 1999 Pnt 1397 2058 Pnt 1461 2114 Pnt 1522 2169 Pnt 1582 2223 Pnt 1640 2274 Pnt 1696 2324 Pnt 1751 2373 Pnt 1805 2420 Pnt 1857 2465 Pnt 1909 2510 Pnt 1959 2552 Pnt 2007 2593 Pnt 2055 2633 Pnt 2102 2672 Pnt 2148 2709 Pnt 2193 2745 Pnt 2237 2780 Pnt 992 1710 Pnt 1060 1772 Pnt 1133 1837 Pnt 1204 1900 Pnt 1273 1962 Pnt 1340 2021 Pnt 1404 2079 Pnt 1467 2135 Pnt 1528 2190 Pnt 1588 2242 Pnt 1645 2294 Pnt 1701 2343 Pnt 1756 2391 Pnt 1809 2438 Pnt 1861 2483 Pnt 1912 2527 Pnt 1962 2569 Pnt 2011 2610 Pnt 2058 2649 Pnt 2105 2687 Pnt 2150 2724 Pnt 1115 1802 Pnt 1030 1733 Pnt 994 1731 Pnt 1069 1797 Pnt 1142 1861 Pnt 1213 1924 Pnt 1281 1984 Pnt 1347 2043 Pnt 1411 2101 Pnt 1474 2156 Pnt 1534 2210 Pnt 1593 2262 Pnt 1650 2313 Pnt 1706 2362 Pnt 1761 2410 Pnt 1814 2456 Pnt 1865 2500 Pnt 1916 2543 Pnt 1965 2585 Pnt 2014 2626 Pnt 2061 2665 Pnt 1244 1925 Pnt 1155 1853 Pnt 1069 1782 Pnt 985 1722 Pnt 1005 1756 Pnt 1079 1821 Pnt 1151 1885 Pnt 1221 1947 Pnt 1289 2007 Pnt 1354 2065 Pnt 1418 2122 Pnt 1480 2177 Pnt 1540 2230 Pnt 1599 2282 Pnt 1656 2332 Pnt 1711 2381 Pnt 1765 2428 Pnt 1818 2473 Pnt 1869 2517 Pnt 1920 2560 Pnt 1969 2602 Pnt 1376 2054 Pnt 1285 1978 Pnt 1196 1904 Pnt 1108 1833 Pnt 1023 1763 Pnt 939 1714 Pnt 1015 1780 Pnt 1089 1845 Pnt 1160 1908 Pnt 1229 1970 Pnt 1297 2029 Pnt 1362 2087 Pnt 1425 2143 Pnt 1486 2197 Pnt 1546 2250 Pnt 1604 2301 Pnt 1661 2351 Pnt 1716 2399 Pnt 1769 2446 Pnt 1822 2491 Pnt 1873 2535 Pnt 1510 2188 Pnt 1417 2109 Pnt 1326 2032 Pnt 1236 1957 Pnt 1148 1884 Pnt 1061 1813 Pnt 977 1744 Pnt 949 1739 Pnt 1025 1805 Pnt 1098 1869 Pnt 1169 1932 Pnt 1238 1992 Pnt 1304 2051 Pnt 1369 2108 Pnt 1431 2164 Pnt 1492 2218 Pnt 1552 2270 Pnt 1609 2321 Pnt 1666 2370 Pnt 1720 2418 Pnt 1774 2464 Pnt 1645 2328 Pnt 1551 2245 Pnt 1459 2165 Pnt 1367 2086 Pnt 1276 2010 Pnt 1187 1936 Pnt 1100 1863 Pnt 1015 1793 Pnt 931 1725 Pnt 960 1764 Pnt 1035 1829 Pnt 1107 1893 Pnt 1177 1955 Pnt 1246 2015 Pnt 1312 2073 Pnt 1376 2130 Pnt 1438 2185 Pnt 1498 2238 Pnt 1557 2290 Pnt 1615 2340 Pnt 1670 2389 Pnt 1778 2472 Pnt 1685 2386 Pnt 1592 2303 Pnt 1499 2221 Pnt 1407 2141 Pnt 1317 2064 Pnt 1227 1988 Pnt 1139 1915 Pnt 1053 1843 Pnt 968 1773 Pnt 894 1723 Pnt 970 1789 Pnt 1044 1854 Pnt 1116 1917 Pnt 1186 1978 Pnt 1253 2037 Pnt 1319 2095 Pnt 1382 2151 Pnt 1444 2206 Pnt 1504 2258 Pnt 1563 2310 Pnt 1904 2619 Pnt 1815 2532 Pnt 1724 2446 Pnt 1632 2361 Pnt 1539 2278 Pnt 1448 2197 Pnt 1357 2119 Pnt 1267 2042 Pnt 1178 1967 Pnt 1091 1894 Pnt 1005 1823 Pnt 922 1754 Pnt 904 1748 Pnt 980 1814 Pnt 1054 1878 Pnt 1125 1940 Pnt 1194 2001 Pnt 1261 2060 Pnt 1326 2117 Pnt 1389 2172 Pnt 1450 2226 Pnt 2099 2751 Pnt 1990 2669 Pnt 1882 2585 Pnt 1775 2502 Pnt 1670 2420 Pnt 1578 2336 Pnt 1487 2254 Pnt 1396 2174 Pnt 1306 2096 Pnt 1217 2020 Pnt 1129 1945 Pnt 1043 1873 Pnt 958 1803 Pnt 875 1735 Pnt 915 1773 Pnt 990 1839 Pnt 1063 1902 Pnt 1134 1964 Pnt 1202 2024 Pnt 1269 2082 Pnt 1333 2138 Pnt 2289 2877 Pnt 2184 2798 Pnt 2076 2717 Pnt 1968 2635 Pnt 1861 2552 Pnt 1755 2469 Pnt 1651 2387 Pnt 1550 2306 Pnt 1451 2227 Pnt 1355 2149 Pnt 1262 2072 Pnt 1172 1997 Pnt 1084 1924 Pnt 999 1852 Pnt 917 1782 Pnt 857 1730 Pnt 937 1796 Pnt 1015 1860 Pnt 1091 1922 Pnt 1165 1982 Pnt 1237 2041 Pnt 2462 2987 Pnt 2367 2917 Pnt 2266 2842 Pnt 2160 2763 Pnt 2053 2682 Pnt 1946 2601 Pnt 1839 2518 Pnt 1735 2436 Pnt 1632 2355 Pnt 1531 2275 Pnt 1434 2196 Pnt 1339 2119 Pnt 1247 2043 Pnt 1157 1969 Pnt 1071 1896 Pnt 987 1825 Pnt 906 1756 Pnt 903 1749 Pnt 982 1814 Pnt 1059 1878 Pnt 1134 1939 Pnt 2602 3070 Pnt 2528 3016 Pnt 2441 2953 Pnt 2345 2883 Pnt 2243 2807 Pnt 2137 2729 Pnt 2031 2648 Pnt 1924 2567 Pnt 1819 2485 Pnt 1715 2404 Pnt 1613 2323 Pnt 1514 2244 Pnt 1417 2166 Pnt 1323 2089 Pnt 1232 2014 Pnt 1143 1940 Pnt 1058 1868 Pnt 975 1798 Pnt 894 1730 Pnt 949 1768 Pnt 1027 1832 Pnt 2689 3115 Pnt 2647 3084 Pnt 2585 3040 Pnt 2508 2984 Pnt 2419 2919 Pnt 2322 2848 Pnt 2220 2773 Pnt 2115 2694 Pnt 2009 2614 Pnt 1903 2533 Pnt 1798 2452 Pnt 1695 2371 Pnt 1594 2292 Pnt 1496 2213 Pnt 1400 2136 Pnt 1307 2060 Pnt 1217 1985 Pnt 1130 1912 Pnt 1045 1841 Pnt 963 1771 Pnt 916 1723 Pnt 2716 3114 Pnt 2709 3110 Pnt 2681 3090 Pnt 2634 3056 Pnt 2568 3009 Pnt 2488 2952 Pnt 2397 2886 Pnt 2300 2814 Pnt 2197 2738 Pnt 2092 2660 Pnt 1987 2580 Pnt 1882 2500 Pnt 1778 2419 Pnt 1676 2339 Pnt 1576 2260 Pnt 1479 2182 Pnt 1384 2106 Pnt 1292 2030 Pnt 1203 1956 Pnt 1116 1884 Pnt 1032 1814 Pnt 2687 3066 Pnt 2712 3089 Pnt 2719 3096 Pnt 2706 3088 Pnt 2672 3065 Pnt 2619 3027 Pnt 2550 2978 Pnt 2468 2919 Pnt 2376 2852 Pnt 2277 2780 Pnt 2175 2704 Pnt 2070 2626 Pnt 1966 2546 Pnt 1861 2466 Pnt 1758 2387 Pnt 1657 2307 Pnt 1559 2229 Pnt 1462 2152 Pnt 1368 2076 Pnt 1277 2001 Pnt 1189 1928 Pnt 1778 2312 Pnt 1832 2360 Pnt 1885 2407 Pnt 1937 2452 Pnt 1987 2496 Pnt 2037 2539 Pnt 2085 2580 Pnt 2132 2619 Pnt 2178 2658 Pnt 2223 2695 Pnt 2267 2730 Pnt 2311 2765 Pnt 2354 2798 Pnt 2396 2830 Pnt 2437 2861 Pnt 2478 2891 Pnt 2518 2919 Pnt 2558 2947 Pnt 2597 2973 Pnt 2635 2999 Pnt 2674 3023 Pnt 1671 2230 Pnt 1728 2281 Pnt 1783 2330 Pnt 1837 2378 Pnt 1890 2425 Pnt 1941 2469 Pnt 1991 2513 Pnt 2040 2555 Pnt 2088 2596 Pnt 2135 2635 Pnt 2181 2673 Pnt 2226 2709 Pnt 2270 2745 Pnt 2313 2779 Pnt 2356 2812 Pnt 2398 2843 Pnt 2439 2874 Pnt 2480 2903 Pnt 2520 2931 Pnt 2559 2959 Pnt 2598 2985 Pnt 1558 2143 Pnt 1618 2197 Pnt 1676 2249 Pnt 1733 2300 Pnt 1788 2349 Pnt 1841 2396 Pnt 1894 2442 Pnt 1945 2486 Pnt 1994 2529 Pnt 2043 2571 Pnt 2091 2611 Pnt 2138 2650 Pnt 2183 2688 Pnt 2228 2724 Pnt 2272 2759 Pnt 2315 2792 Pnt 2358 2825 Pnt 2400 2856 Pnt 2441 2886 Pnt 2481 2915 Pnt 2521 2943 Pnt 1441 2052 Pnt 1504 2109 Pnt 1565 2164 Pnt 1624 2217 Pnt 1682 2269 Pnt 1738 2319 Pnt 1792 2367 Pnt 1846 2414 Pnt 1898 2459 Pnt 1948 2503 Pnt 1998 2546 Pnt 2046 2587 Pnt 2094 2627 Pnt 2140 2665 Pnt 2186 2702 Pnt 2231 2738 Pnt 2274 2773 Pnt 2318 2806 Pnt 2360 2838 Pnt 2402 2869 Pnt 2443 2899 Pnt 1317 1956 Pnt 1383 2016 Pnt 1448 2074 Pnt 1510 2130 Pnt 1571 2184 Pnt 1630 2237 Pnt 1687 2288 Pnt 1743 2337 Pnt 1797 2385 Pnt 1850 2432 Pnt 1902 2477 Pnt 1952 2520 Pnt 2001 2562 Pnt 2050 2603 Pnt 2097 2642 Pnt 2143 2680 Pnt 2188 2717 Pnt 2233 2752 Pnt 2277 2787 Pnt 2320 2820 Pnt 2362 2851 Pnt 1187 1855 Pnt 1257 1918 Pnt 1325 1979 Pnt 1391 2038 Pnt 1455 2095 Pnt 1517 2150 Pnt 1577 2204 Pnt 1635 2256 Pnt 1692 2307 Pnt 1747 2356 Pnt 1801 2403 Pnt 1854 2449 Pnt 1905 2494 Pnt 1956 2537 Pnt 2005 2579 Pnt 2053 2619 Pnt 2100 2658 Pnt 2146 2695 Pnt 2191 2732 Pnt 2235 2767 Pnt 2279 2801 Pnt 1050 1750 Pnt 1125 1815 Pnt 1196 1879 Pnt 1266 1941 Pnt 1333 2001 Pnt 1398 2059 Pnt 1461 2116 Pnt 1523 2171 Pnt 1583 2224 Pnt 1641 2276 Pnt 1697 2326 Pnt 1752 2374 Pnt 1806 2421 Pnt 1858 2467 Pnt 1909 2511 Pnt 1959 2553 Pnt 2008 2595 Pnt 2056 2635 Pnt 2103 2673 Pnt 2148 2710 Pnt 2193 2746 Pnt 1073 1751 Pnt 989 1710 Pnt 1061 1774 Pnt 1134 1839 Pnt 1205 1902 Pnt 1274 1963 Pnt 1341 2023 Pnt 1405 2081 Pnt 1468 2137 Pnt 1529 2191 Pnt 1588 2244 Pnt 1646 2295 Pnt 1702 2345 Pnt 1757 2393 Pnt 1810 2439 Pnt 1862 2484 Pnt 1913 2528 Pnt 1963 2570 Pnt 2011 2611 Pnt 2059 2650 Pnt 2105 2688 Pnt 1200 1871 Pnt 1112 1800 Pnt 1027 1732 Pnt 995 1732 Pnt 1070 1799 Pnt 1143 1863 Pnt 1214 1925 Pnt 1282 1986 Pnt 1348 2045 Pnt 1412 2102 Pnt 1475 2158 Pnt 1535 2211 Pnt 1594 2264 Pnt 1651 2314 Pnt 1707 2363 Pnt 1761 2411 Pnt 1814 2457 Pnt 1866 2502 Pnt 1917 2545 Pnt 1966 2586 Pnt 2014 2627 Pnt 1331 1998 Pnt 1241 1923 Pnt 1152 1851 Pnt 1066 1781 Pnt 982 1721 Pnt 1006 1757 Pnt 1080 1823 Pnt 1152 1886 Pnt 1222 1948 Pnt 1290 2008 Pnt 1355 2067 Pnt 1419 2123 Pnt 1481 2178 Pnt 1541 2232 Pnt 1599 2283 Pnt 1656 2333 Pnt 1712 2382 Pnt 1766 2429 Pnt 1818 2475 Pnt 1870 2519 Pnt 1920 2562 Pnt 1465 2130 Pnt 1373 2052 Pnt 1282 1976 Pnt 1193 1903 Pnt 1105 1831 Pnt 1020 1762 Pnt 940 1716 Pnt 1016 1782 Pnt 1090 1847 Pnt 1161 1910 Pnt 1230 1971 Pnt 1297 2031 Pnt 1363 2088 Pnt 1426 2144 Pnt 1487 2199 Pnt 1547 2252 Pnt 1605 2303 Pnt 1661 2352 Pnt 1716 2401 Pnt 1770 2447 Pnt 1823 2492 Pnt 1601 2268 Pnt 1507 2186 Pnt 1414 2107 Pnt 1323 2030 Pnt 1233 1955 Pnt 1145 1882 Pnt 1058 1811 Pnt 974 1742 Pnt 950 1741 Pnt 1026 1807 Pnt 1099 1871 Pnt 1170 1933 Pnt 1238 1994 Pnt 1305 2053 Pnt 1370 2110 Pnt 1432 2166 Pnt 1493 2219 Pnt 1552 2272 Pnt 1610 2322 Pnt 1666 2371 Pnt 1721 2419 Pnt 1736 2410 Pnt 1642 2326 Pnt 1548 2243 Pnt 1456 2163 Pnt 1364 2085 Pnt 1273 2008 Pnt 1184 1934 Pnt 1097 1862 Pnt 1012 1792 Pnt 928 1725 Pnt 961 1766 Pnt 1036 1831 Pnt 1108 1895 Pnt 1178 1956 Pnt 1246 2017 Pnt 1312 2075 Pnt 1376 2131 Pnt 1439 2186 Pnt 1499 2240 Pnt 1558 2291 Pnt 1615 2342 Pnt 1866 2557 Pnt 1775 2470 Pnt 1682 2385 Pnt 1589 2301 Pnt 1496 2219 Pnt 1404 2140 Pnt 1314 2062 Pnt 1224 1987 Pnt 1136 1913 Pnt 1050 1842 Pnt 965 1772 Pnt 895 1724 Pnt 971 1791 Pnt 1045 1855 Pnt 1117 1918 Pnt 1187 1980 Pnt 1254 2039 Pnt 1320 2097 Pnt 1383 2153 Pnt 1445 2207 Pnt 1505 2260 Pnt 2011 2701 Pnt 1902 2617 Pnt 1812 2530 Pnt 1720 2444 Pnt 1628 2359 Pnt 1536 2277 Pnt 1445 2196 Pnt 1353 2117 Pnt 1264 2040 Pnt 1175 1965 Pnt 1088 1892 Pnt 1002 1821 Pnt 919 1753 Pnt 905 1750 Pnt 981 1816 Pnt 1055 1880 Pnt 1126 1942 Pnt 1195 2002 Pnt 1262 2061 Pnt 1327 2118 Pnt 1390 2174 Pnt 2205 2831 Pnt 2097 2749 Pnt 1989 2667 Pnt 1880 2583 Pnt 1774 2500 Pnt 1669 2418 Pnt 1575 2334 Pnt 1484 2252 Pnt 1393 2172 Pnt 1303 2094 Pnt 1214 2018 Pnt 1126 1944 Pnt 1040 1872 Pnt 955 1802 Pnt 872 1733 Pnt 916 1775 Pnt 991 1840 Pnt 1064 1904 Pnt 1135 1965 Pnt 1203 2025 Pnt 1269 2084 Pnt 2388 2949 Pnt 2287 2874 Pnt 2182 2796 Pnt 2074 2715 Pnt 1966 2632 Pnt 1859 2550 Pnt 1753 2467 Pnt 1649 2385 Pnt 1548 2304 Pnt 1449 2225 Pnt 1354 2147 Pnt 1261 2070 Pnt 1170 1995 Pnt 1083 1922 Pnt 998 1850 Pnt 916 1780 Pnt 860 1732 Pnt 940 1798 Pnt 1018 1861 Pnt 1094 1924 Pnt 1168 1984 Pnt 2545 3047 Pnt 2461 2985 Pnt 2366 2915 Pnt 2264 2840 Pnt 2159 2761 Pnt 2052 2680 Pnt 1944 2598 Pnt 1838 2516 Pnt 1733 2434 Pnt 1630 2353 Pnt 1530 2273 Pnt 1432 2194 Pnt 1338 2117 Pnt 1245 2041 Pnt 1156 1967 Pnt 1070 1894 Pnt 986 1823 Pnt 905 1754 Pnt 906 1751 Pnt 985 1816 Pnt 1062 1879 Pnt 2658 3110 Pnt 2600 3068 Pnt 2526 3015 Pnt 2439 2951 Pnt 2343 2881 Pnt 2241 2805 Pnt 2136 2727 Pnt 2029 2646 Pnt 1923 2565 Pnt 1817 2483 Pnt 1713 2402 Pnt 1612 2321 Pnt 1512 2242 Pnt 1416 2164 Pnt 1322 2087 Pnt 1231 2012 Pnt 1142 1938 Pnt 1057 1866 Pnt 974 1796 Pnt 893 1728 Pnt 952 1769 Pnt 2710 3129 Pnt 2689 3114 Pnt 2646 3083 Pnt 2584 3038 Pnt 2507 2982 Pnt 2418 2917 Pnt 2321 2846 Pnt 2218 2771 Pnt 2113 2692 Pnt 2007 2612 Pnt 1901 2531 Pnt 1797 2450 Pnt 1694 2369 Pnt 1593 2290 Pnt 1495 2211 Pnt 1399 2134 Pnt 1306 2058 Pnt 1216 1983 Pnt 1129 1910 Pnt 1044 1839 Pnt 962 1770 Pnt 2703 3101 Pnt 2716 3113 Pnt 2709 3109 Pnt 2681 3089 Pnt 2633 3055 Pnt 2567 3007 Pnt 2487 2950 Pnt 2396 2884 Pnt 2298 2812 Pnt 2196 2736 Pnt 2091 2658 Pnt 1985 2578 Pnt 1880 2498 Pnt 1777 2417 Pnt 1675 2337 Pnt 1575 2258 Pnt 1478 2180 Pnt 1383 2104 Pnt 1291 2028 Pnt 1202 1955 Pnt 1115 1882 Pnt 1829 2344 Pnt 1882 2391 Pnt 1934 2437 Pnt 1984 2481 Pnt 2034 2524 Pnt 2082 2565 Pnt 2129 2605 Pnt 2176 2644 Pnt 2221 2681 Pnt 2266 2717 Pnt 2309 2752 Pnt 2352 2786 Pnt 2394 2818 Pnt 2436 2849 Pnt 2477 2879 Pnt 2517 2908 Pnt 2557 2936 Pnt 2596 2963 Pnt 2635 2988 Pnt 2673 3013 Pnt 2710 3037 Pnt 1723 2263 Pnt 1779 2313 Pnt 1833 2362 Pnt 1886 2408 Pnt 1938 2454 Pnt 1988 2498 Pnt 2037 2540 Pnt 2085 2581 Pnt 2132 2621 Pnt 2178 2659 Pnt 2224 2696 Pnt 2268 2732 Pnt 2312 2766 Pnt 2354 2799 Pnt 2396 2831 Pnt 2438 2862 Pnt 2479 2892 Pnt 2519 2920 Pnt 2558 2948 Pnt 2597 2974 Pnt 2636 3000 Pnt 1613 2179 Pnt 1672 2231 Pnt 1728 2282 Pnt 1784 2332 Pnt 1838 2380 Pnt 1890 2426 Pnt 1942 2471 Pnt 1992 2514 Pnt 2041 2556 Pnt 2088 2597 Pnt 2135 2636 Pnt 2181 2674 Pnt 2226 2710 Pnt 2270 2746 Pnt 2314 2780 Pnt 2356 2813 Pnt 2398 2844 Pnt 2440 2875 Pnt 2480 2904 Pnt 2520 2932 Pnt 2560 2960 Pnt 1498 2090 Pnt 1559 2145 Pnt 1619 2199 Pnt 1677 2251 Pnt 1734 2301 Pnt 1788 2350 Pnt 1842 2398 Pnt 1894 2443 Pnt 1945 2488 Pnt 1995 2531 Pnt 2044 2572 Pnt 2091 2612 Pnt 2138 2651 Pnt 2184 2689 Pnt 2229 2725 Pnt 2273 2760 Pnt 2316 2794 Pnt 2358 2826 Pnt 2400 2857 Pnt 2441 2887 Pnt 2482 2916 Pnt 1377 1996 Pnt 1442 2054 Pnt 1504 2110 Pnt 1565 2165 Pnt 1625 2218 Pnt 1682 2270 Pnt 1739 2320 Pnt 1793 2368 Pnt 1846 2415 Pnt 1898 2461 Pnt 1949 2505 Pnt 1999 2547 Pnt 2047 2588 Pnt 2095 2628 Pnt 2141 2666 Pnt 2186 2704 Pnt 2231 2739 Pnt 2275 2774 Pnt 2318 2807 Pnt 2361 2839 Pnt 2402 2870 Pnt 1250 1897 Pnt 1318 1958 Pnt 1384 2017 Pnt 1449 2075 Pnt 1511 2131 Pnt 1572 2185 Pnt 1630 2238 Pnt 1688 2289 Pnt 1743 2339 Pnt 1798 2387 Pnt 1851 2433 Pnt 1902 2478 Pnt 1953 2521 Pnt 2002 2564 Pnt 2050 2604 Pnt 2097 2644 Pnt 2144 2682 Pnt 2189 2718 Pnt 2234 2754 Pnt 2277 2788 Pnt 2320 2821 Pnt 1116 1793 Pnt 1188 1857 Pnt 1258 1920 Pnt 1326 1980 Pnt 1392 2039 Pnt 1455 2096 Pnt 1517 2152 Pnt 1578 2206 Pnt 1636 2258 Pnt 1693 2308 Pnt 1748 2357 Pnt 1802 2405 Pnt 1855 2451 Pnt 1906 2495 Pnt 1956 2538 Pnt 2005 2580 Pnt 2053 2620 Pnt 2100 2659 Pnt 2146 2697 Pnt 2192 2733 Pnt 2236 2768 Pnt 1031 1717 Pnt 1051 1751 Pnt 1126 1817 Pnt 1197 1881 Pnt 1267 1942 Pnt 1334 2002 Pnt 1399 2061 Pnt 1462 2117 Pnt 1524 2172 Pnt 1583 2226 Pnt 1641 2277 Pnt 1698 2327 Pnt 1753 2376 Pnt 1807 2423 Pnt 1859 2468 Pnt 1910 2512 Pnt 1960 2555 Pnt 2009 2596 Pnt 2056 2636 Pnt 2103 2674 Pnt 2149 2711 Pnt 1156 1819 Pnt 1070 1749 Pnt 986 1709 Pnt 1062 1776 Pnt 1135 1841 Pnt 1206 1904 Pnt 1275 1965 Pnt 1341 2025 Pnt 1406 2082 Pnt 1469 2138 Pnt 1530 2193 Pnt 1589 2245 Pnt 1647 2297 Pnt 1703 2346 Pnt 1758 2394 Pnt 1811 2441 Pnt 1863 2486 Pnt 1914 2529 Pnt 1963 2571 Pnt 2012 2612 Pnt 2059 2651 Pnt 1286 1943 Pnt 1197 1870 Pnt 1110 1799 Pnt 1024 1730 Pnt 996 1734 Pnt 1071 1800 Pnt 1144 1865 Pnt 1214 1927 Pnt 1283 1988 Pnt 1349 2047 Pnt 1413 2104 Pnt 1475 2159 Pnt 1536 2213 Pnt 1595 2265 Pnt 1652 2316 Pnt 1708 2365 Pnt 1762 2412 Pnt 1815 2458 Pnt 1867 2503 Pnt 1917 2546 Pnt 1967 2588 Pnt 1419 2073 Pnt 1328 1996 Pnt 1238 1922 Pnt 1150 1850 Pnt 1063 1779 Pnt 979 1721 Pnt 1007 1759 Pnt 1081 1825 Pnt 1153 1888 Pnt 1223 1950 Pnt 1291 2010 Pnt 1356 2068 Pnt 1420 2125 Pnt 1482 2180 Pnt 1542 2233 Pnt 1600 2285 Pnt 1657 2335 Pnt 1712 2383 Pnt 1766 2430 Pnt 1819 2476 Pnt 1871 2520 Pnt 1555 2208 Pnt 1462 2128 Pnt 1370 2050 Pnt 1279 1975 Pnt 1190 1901 Pnt 1102 1830 Pnt 1017 1760 Pnt 941 1717 Pnt 1017 1784 Pnt 1091 1849 Pnt 1162 1912 Pnt 1231 1973 Pnt 1298 2032 Pnt 1363 2090 Pnt 1427 2146 Pnt 1488 2200 Pnt 1548 2253 Pnt 1606 2304 Pnt 1662 2354 Pnt 1717 2402 Pnt 1771 2449 Pnt 1692 2349 Pnt 1597 2266 Pnt 1504 2185 Pnt 1411 2105 Pnt 1320 2028 Pnt 1230 1953 Pnt 1142 1881 Pnt 1056 1810 Pnt 971 1741 Pnt 951 1743 Pnt 1027 1808 Pnt 1100 1873 Pnt 1171 1935 Pnt 1239 1996 Pnt 1306 2054 Pnt 1370 2112 Pnt 1433 2167 Pnt 1494 2221 Pnt 1553 2273 Pnt 1611 2324 Pnt 1667 2373 Pnt 1826 2494 Pnt 1732 2408 Pnt 1639 2324 Pnt 1545 2242 Pnt 1452 2161 Pnt 1361 2083 Pnt 1270 2007 Pnt 1181 1932 Pnt 1094 1860 Pnt 1009 1790 Pnt 925 1724 Pnt 962 1768 Pnt 1037 1833 Pnt 1109 1896 Pnt 1179 1958 Pnt 1247 2018 Pnt 1313 2076 Pnt 1377 2133 Pnt 1440 2188 Pnt 1500 2241 Pnt 1559 2293 Pnt 1953 2643 Pnt 1863 2555 Pnt 1771 2468 Pnt 1679 2383 Pnt 1586 2299 Pnt 1493 2218 Pnt 1401 2138 Pnt 1311 2061 Pnt 1221 1985 Pnt 1133 1911 Pnt 1047 1840 Pnt 962 1770 Pnt 896 1726 Pnt 972 1793 Pnt 1046 1857 Pnt 1118 1920 Pnt 1188 1981 Pnt 1255 2041 Pnt 1321 2098 Pnt 1384 2154 Pnt 1446 2209 Pnt 2119 2782 Pnt 2010 2699 Pnt 1901 2615 Pnt 1809 2528 Pnt 1717 2442 Pnt 1625 2358 Pnt 1533 2275 Pnt 1441 2194 Pnt 1350 2115 Pnt 1260 2038 Pnt 1172 1964 Pnt 1085 1891 Pnt 999 1820 Pnt 916 1751 Pnt 906 1752 Pnt 982 1817 Pnt 1056 1881 Pnt 1127 1944 Pnt 1196 2004 Pnt 1263 2063 Pnt 1328 2120 Pnt 2309 2907 Pnt 2204 2829 Pnt 2096 2747 Pnt 1987 2664 Pnt 1879 2581 Pnt 1772 2498 Pnt 1667 2415 Pnt 1572 2333 Pnt 1481 2251 Pnt 1390 2171 Pnt 1300 2093 Pnt 1211 2016 Pnt 1123 1942 Pnt 1037 1870 Pnt 952 1800 Pnt 870 1732 Pnt 917 1777 Pnt 992 1842 Pnt 1065 1905 Pnt 1135 1967 Pnt 1204 2027 Pnt 2481 3016 Pnt 2387 2947 Pnt 2286 2872 Pnt 2180 2794 Pnt 2073 2713 Pnt 1965 2630 Pnt 1857 2547 Pnt 1752 2465 Pnt 1648 2383 Pnt 1547 2302 Pnt 1448 2223 Pnt 1352 2145 Pnt 1259 2068 Pnt 1169 1993 Pnt 1082 1920 Pnt 997 1848 Pnt 915 1779 Pnt 863 1733 Pnt 943 1799 Pnt 1021 1863 Pnt 1097 1925 Pnt 2615 3096 Pnt 2544 3045 Pnt 2459 2983 Pnt 2364 2913 Pnt 2263 2838 Pnt 2157 2759 Pnt 2050 2678 Pnt 1943 2596 Pnt 1836 2514 Pnt 1732 2432 Pnt 1629 2351 Pnt 1529 2271 Pnt 1431 2192 Pnt 1336 2115 Pnt 1244 2039 Pnt 1155 1965 Pnt 1069 1892 Pnt 985 1821 Pnt 904 1752 Pnt 909 1752 Pnt 988 1817 Pnt 2694 3136 Pnt 2657 3109 Pnt 2599 3067 Pnt 2525 3013 Pnt 2438 2949 Pnt 2342 2878 Pnt 2240 2803 Pnt 2134 2724 Pnt 2028 2644 Pnt 1921 2562 Pnt 1816 2481 Pnt 1712 2400 Pnt 1610 2319 Pnt 1511 2240 Pnt 1414 2162 Pnt 1320 2085 Pnt 1229 2010 Pnt 1141 1936 Pnt 1055 1865 Pnt 973 1794 Pnt 892 1726 Pnt 2711 3128 Pnt 2710 3128 Pnt 2688 3112 Pnt 2645 3081 Pnt 2583 3036 Pnt 2505 2980 Pnt 2416 2915 Pnt 2319 2844 Pnt 2217 2768 Pnt 2112 2690 Pnt 2006 2610 Pnt 1900 2529 Pnt 1795 2448 Pnt 1692 2367 Pnt 1592 2288 Pnt 1493 2209 Pnt 1398 2132 Pnt 1305 2056 Pnt 1215 1981 Pnt 1127 1908 Pnt 1043 1837 Pnt 1878 2374 Pnt 1930 2421 Pnt 1981 2465 Pnt 2031 2509 Pnt 2079 2550 Pnt 2127 2591 Pnt 2173 2630 Pnt 2219 2668 Pnt 2264 2704 Pnt 2308 2739 Pnt 2351 2773 Pnt 2393 2806 Pnt 2435 2838 Pnt 2476 2868 Pnt 2516 2897 Pnt 2556 2925 Pnt 2595 2952 Pnt 2634 2978 Pnt 2672 3003 Pnt 2710 3027 Pnt 2747 3050 Pnt 1775 2296 Pnt 1829 2345 Pnt 1882 2392 Pnt 1934 2438 Pnt 1985 2482 Pnt 2034 2525 Pnt 2083 2566 Pnt 2130 2606 Pnt 2176 2645 Pnt 2222 2682 Pnt 2266 2719 Pnt 2310 2753 Pnt 2353 2787 Pnt 2395 2819 Pnt 2437 2850 Pnt 2477 2880 Pnt 2518 2909 Pnt 2557 2937 Pnt 2596 2964 Pnt 2635 2989 Pnt 2673 3014 Pnt 1667 2213 Pnt 1724 2265 Pnt 1780 2315 Pnt 1834 2363 Pnt 1887 2410 Pnt 1938 2455 Pnt 1989 2499 Pnt 2038 2541 Pnt 2086 2582 Pnt 2133 2622 Pnt 2179 2660 Pnt 2224 2697 Pnt 2269 2733 Pnt 2312 2767 Pnt 2355 2800 Pnt 2397 2832 Pnt 2438 2863 Pnt 2479 2893 Pnt 2519 2921 Pnt 2559 2949 Pnt 2598 2975 Pnt 1554 2126 Pnt 1614 2180 Pnt 1672 2233 Pnt 1729 2284 Pnt 1784 2333 Pnt 1838 2381 Pnt 1891 2427 Pnt 1942 2472 Pnt 1992 2516 Pnt 2041 2557 Pnt 2089 2598 Pnt 2136 2637 Pnt 2182 2675 Pnt 2227 2712 Pnt 2271 2747 Pnt 2314 2781 Pnt 2357 2814 Pnt 2399 2845 Pnt 2440 2876 Pnt 2481 2905 Pnt 2521 2933 Pnt 1435 2034 Pnt 1499 2091 Pnt 1560 2146 Pnt 1620 2200 Pnt 1678 2252 Pnt 1734 2303 Pnt 1789 2352 Pnt 1843 2399 Pnt 1895 2445 Pnt 1946 2489 Pnt 1996 2532 Pnt 2044 2574 Pnt 2092 2614 Pnt 2139 2652 Pnt 2184 2690 Pnt 2229 2726 Pnt 2273 2761 Pnt 2317 2795 Pnt 2359 2827 Pnt 2401 2858 Pnt 2442 2888 Pnt 1311 1937 Pnt 1378 1997 Pnt 1442 2055 Pnt 1505 2112 Pnt 1566 2167 Pnt 1626 2220 Pnt 1683 2272 Pnt 1739 2321 Pnt 1794 2370 Pnt 1847 2417 Pnt 1899 2462 Pnt 1950 2506 Pnt 1999 2548 Pnt 2048 2590 Pnt 2095 2629 Pnt 2142 2668 Pnt 2187 2705 Pnt 2232 2740 Pnt 2276 2775 Pnt 2319 2808 Pnt 2361 2840 Pnt 1180 1835 Pnt 1251 1898 Pnt 1319 1960 Pnt 1385 2019 Pnt 1449 2077 Pnt 1512 2133 Pnt 1572 2187 Pnt 1631 2240 Pnt 1688 2291 Pnt 1744 2340 Pnt 1798 2388 Pnt 1851 2434 Pnt 1903 2479 Pnt 1953 2523 Pnt 2003 2565 Pnt 2051 2605 Pnt 2098 2645 Pnt 2144 2683 Pnt 2190 2719 Pnt 2234 2755 Pnt 2278 2789 Pnt 1042 1729 Pnt 1117 1795 Pnt 1189 1859 Pnt 1259 1921 Pnt 1327 1982 Pnt 1393 2041 Pnt 1456 2098 Pnt 1518 2153 Pnt 1578 2207 Pnt 1637 2259 Pnt 1694 2310 Pnt 1749 2359 Pnt 1803 2406 Pnt 1855 2452 Pnt 1907 2496 Pnt 1957 2539 Pnt 2006 2581 Pnt 2054 2621 Pnt 2101 2660 Pnt 2147 2698 Pnt 2192 2734 Pnt 1113 1767 Pnt 1028 1716 Pnt 1052 1753 Pnt 1126 1819 Pnt 1198 1882 Pnt 1267 1944 Pnt 1335 2004 Pnt 1400 2062 Pnt 1463 2119 Pnt 1524 2174 Pnt 1584 2227 Pnt 1642 2279 Pnt 1699 2329 Pnt 1754 2377 Pnt 1807 2424 Pnt 1860 2470 Pnt 1911 2514 Pnt 1961 2556 Pnt 2009 2597 Pnt 2057 2637 Pnt 2104 2676 Pnt 1241 1889 Pnt 1153 1817 Pnt 1067 1748 Pnt 987 1711 Pnt 1063 1778 Pnt 1136 1843 Pnt 1207 1906 Pnt 1276 1967 Pnt 1342 2026 Pnt 1407 2084 Pnt 1470 2140 Pnt 1531 2194 Pnt 1590 2247 Pnt 1647 2298 Pnt 1704 2348 Pnt 1758 2395 Pnt 1812 2442 Pnt 1864 2487 Pnt 1914 2530 Pnt 1964 2573 Pnt 2013 2613 Pnt 1374 2016 Pnt 1283 1941 Pnt 1194 1868 Pnt 1107 1797 Pnt 1022 1729 Pnt 997 1736 Pnt 1072 1802 Pnt 1145 1866 Pnt 1215 1929 Pnt 1284 1989 Pnt 1350 2048 Pnt 1414 2105 Pnt 1476 2161 Pnt 1537 2214 Pnt 1595 2267 Pnt 1653 2317 Pnt 1708 2366 Pnt 1763 2414 Pnt 1816 2460 Pnt 1867 2504 Pnt 1918 2547 Pnt 1509 2150 Pnt 1416 2071 Pnt 1325 1995 Pnt 1235 1920 Pnt 1147 1848 Pnt 1060 1778 Pnt 976 1720 Pnt 1008 1761 Pnt 1082 1826 Pnt 1154 1890 Pnt 1224 1952 Pnt 1291 2012 Pnt 1357 2070 Pnt 1421 2126 Pnt 1482 2181 Pnt 1543 2235 Pnt 1601 2286 Pnt 1658 2336 Pnt 1713 2385 Pnt 1767 2432 Pnt 1820 2477 Pnt 1647 2288 Pnt 1552 2206 Pnt 1459 2127 Pnt 1367 2049 Pnt 1276 1973 Pnt 1187 1900 Pnt 1100 1828 Pnt 1014 1759 Pnt 942 1719 Pnt 1018 1786 Pnt 1092 1850 Pnt 1163 1913 Pnt 1232 1974 Pnt 1299 2034 Pnt 1364 2092 Pnt 1427 2148 Pnt 1489 2202 Pnt 1548 2255 Pnt 1606 2306 Pnt 1663 2355 Pnt 1718 2403 Pnt 1783 2432 Pnt 1689 2347 Pnt 1594 2264 Pnt 1501 2183 Pnt 1408 2104 Pnt 1317 2027 Pnt 1227 1952 Pnt 1139 1879 Pnt 1053 1808 Pnt 968 1739 Pnt 952 1744 Pnt 1028 1810 Pnt 1101 1874 Pnt 1172 1937 Pnt 1240 1997 Pnt 1307 2056 Pnt 1371 2113 Pnt 1434 2169 Pnt 1495 2222 Pnt 1554 2275 Pnt 1612 2325 Pnt 1915 2580 Pnt 1823 2493 Pnt 1729 2407 Pnt 1636 2322 Pnt 1542 2240 Pnt 1449 2160 Pnt 1358 2081 Pnt 1267 2005 Pnt 1178 1931 Pnt 1091 1859 Pnt 1006 1789 Pnt 922 1724 Pnt 963 1769 Pnt 1038 1835 Pnt 1110 1898 Pnt 1180 1960 Pnt 1248 2020 Pnt 1314 2078 Pnt 1378 2135 Pnt 1440 2190 Pnt 1501 2243 Pnt 2037 2730 Pnt 1950 2641 Pnt 1860 2553 Pnt 1768 2466 Pnt 1676 2381 Pnt 1583 2298 Pnt 1490 2216 Pnt 1398 2136 Pnt 1308 2059 Pnt 1218 1983 Pnt 1130 1910 Pnt 1044 1838 Pnt 959 1769 Pnt 897 1728 Pnt 973 1794 Pnt 1047 1859 Pnt 1119 1922 Pnt 1189 1983 Pnt 1256 2042 Pnt 1321 2100 Pnt 1385 2156 Pnt 2226 2861 Pnt 2118 2780 Pnt 2008 2697 Pnt 1899 2613 Pnt 1805 2526 Pnt 1714 2440 Pnt 1622 2356 Pnt 1530 2273 Pnt 1438 2192 Pnt 1347 2114 Pnt 1257 2037 Pnt 1169 1962 Pnt 1082 1889 Pnt 996 1818 Pnt 913 1750 Pnt 907 1753 Pnt 983 1819 Pnt 1057 1883 Pnt 1128 1945 Pnt 1197 2006 Pnt 1264 2065 Pnt 2408 2979 Pnt 2308 2905 Pnt 2202 2826 Pnt 2094 2745 Pnt 1986 2662 Pnt 1877 2579 Pnt 1771 2496 Pnt 1666 2413 Pnt 1569 2331 Pnt 1478 2249 Pnt 1387 2169 Pnt 1297 2091 Pnt 1208 2015 Pnt 1120 1941 Pnt 1034 1869 Pnt 949 1799 Pnt 867 1731 Pnt 918 1779 Pnt 993 1844 Pnt 1066 1907 Pnt 1136 1969 Pnt 2562 3074 Pnt 2479 3014 Pnt 2385 2945 Pnt 2284 2870 Pnt 2179 2792 Pnt 2071 2710 Pnt 1963 2628 Pnt 1856 2545 Pnt 1750 2463 Pnt 1647 2381 Pnt 1545 2300 Pnt 1447 2221 Pnt 1351 2143 Pnt 1258 2066 Pnt 1168 1991 Pnt 1081 1918 Pnt 996 1846 Pnt 914 1777 Pnt 866 1735 Pnt 946 1800 Pnt 1024 1864 Pnt 2667 3134 Pnt 2614 3095 Pnt 2543 3043 Pnt 2458 2981 Pnt 2363 2911 Pnt 2261 2836 Pnt 2156 2757 Pnt 2049 2676 Pnt 1941 2594 Pnt 1835 2512 Pnt 1730 2430 Pnt 1627 2349 Pnt 1527 2269 Pnt 1430 2190 Pnt 1335 2113 Pnt 1243 2037 Pnt 1154 1963 Pnt 1067 1890 Pnt 984 1819 Pnt 903 1750 Pnt 912 1754 Pnt 2710 3147 Pnt 2694 3135 Pnt 2656 3107 Pnt 2598 3065 Pnt 2524 3011 Pnt 2436 2947 Pnt 2340 2876 Pnt 2238 2801 Pnt 2133 2722 Pnt 2026 2642 Pnt 1920 2560 Pnt 1814 2479 Pnt 1710 2398 Pnt 1609 2317 Pnt 1510 2238 Pnt 1413 2160 Pnt 1319 2083 Pnt 1228 2008 Pnt 1140 1935 Pnt 1054 1863 Pnt 971 1793 Pnt 1927 2405 Pnt 1978 2450 Pnt 2028 2493 Pnt 2077 2536 Pnt 2124 2577 Pnt 2171 2616 Pnt 2217 2654 Pnt 2262 2691 Pnt 2306 2727 Pnt 2349 2761 Pnt 2391 2794 Pnt 2433 2826 Pnt 2474 2856 Pnt 2515 2886 Pnt 2555 2914 Pnt 2594 2942 Pnt 2633 2968 Pnt 2671 2993 Pnt 2709 3017 Pnt 2746 3040 Pnt 2783 3062 Pnt 1825 2328 Pnt 1879 2376 Pnt 1931 2422 Pnt 1982 2467 Pnt 2032 2510 Pnt 2080 2552 Pnt 2128 2592 Pnt 2174 2631 Pnt 2220 2669 Pnt 2264 2705 Pnt 2308 2741 Pnt 2351 2774 Pnt 2394 2807 Pnt 2435 2839 Pnt 2476 2869 Pnt 2517 2898 Pnt 2556 2926 Pnt 2596 2953 Pnt 2634 2979 Pnt 2672 3004 Pnt 2710 3028 Pnt 1719 2247 Pnt 1775 2298 Pnt 1830 2346 Pnt 1883 2394 Pnt 1935 2439 Pnt 1986 2484 Pnt 2035 2526 Pnt 2083 2568 Pnt 2131 2608 Pnt 2177 2646 Pnt 2222 2684 Pnt 2267 2720 Pnt 2310 2754 Pnt 2353 2788 Pnt 2396 2820 Pnt 2437 2851 Pnt 2478 2881 Pnt 2518 2910 Pnt 2558 2938 Pnt 2597 2965 Pnt 2636 2990 Pnt 1609 2162 Pnt 1668 2215 Pnt 1725 2266 Pnt 1780 2316 Pnt 1835 2364 Pnt 1887 2411 Pnt 1939 2456 Pnt 1989 2500 Pnt 2038 2543 Pnt 2087 2584 Pnt 2134 2623 Pnt 2180 2661 Pnt 2225 2698 Pnt 2269 2734 Pnt 2313 2768 Pnt 2356 2801 Pnt 2398 2833 Pnt 2439 2864 Pnt 2480 2894 Pnt 2520 2922 Pnt 2559 2950 Pnt 1493 2072 Pnt 1555 2128 Pnt 1615 2182 Pnt 1673 2234 Pnt 1730 2285 Pnt 1785 2335 Pnt 1839 2382 Pnt 1892 2429 Pnt 1943 2473 Pnt 1993 2517 Pnt 2042 2559 Pnt 2090 2599 Pnt 2137 2638 Pnt 2182 2676 Pnt 2227 2713 Pnt 2272 2748 Pnt 2315 2782 Pnt 2358 2815 Pnt 2400 2846 Pnt 2441 2877 Pnt 2481 2906 Pnt 1371 1977 Pnt 1436 2036 Pnt 1499 2093 Pnt 1561 2148 Pnt 1621 2202 Pnt 1679 2254 Pnt 1735 2304 Pnt 1790 2353 Pnt 1843 2400 Pnt 1896 2446 Pnt 1947 2490 Pnt 1996 2533 Pnt 2045 2575 Pnt 2093 2615 Pnt 2139 2654 Pnt 2185 2691 Pnt 2230 2727 Pnt 2274 2762 Pnt 2317 2796 Pnt 2360 2828 Pnt 2401 2859 Pnt 1243 1877 Pnt 1312 1939 Pnt 1379 1999 Pnt 1443 2057 Pnt 1506 2114 Pnt 1567 2168 Pnt 1626 2221 Pnt 1684 2273 Pnt 1740 2323 Pnt 1795 2371 Pnt 1848 2418 Pnt 1900 2463 Pnt 1950 2507 Pnt 2000 2550 Pnt 2048 2591 Pnt 2096 2631 Pnt 2142 2669 Pnt 2188 2706 Pnt 2232 2742 Pnt 2276 2776 Pnt 2319 2809 Pnt 1108 1772 Pnt 1181 1837 Pnt 1252 1900 Pnt 1320 1961 Pnt 1386 2021 Pnt 1450 2078 Pnt 1513 2134 Pnt 1573 2189 Pnt 1632 2241 Pnt 1689 2292 Pnt 1745 2342 Pnt 1799 2389 Pnt 1852 2436 Pnt 1904 2481 Pnt 1954 2524 Pnt 2003 2566 Pnt 2052 2607 Pnt 2099 2646 Pnt 2145 2684 Pnt 2190 2721 Pnt 2235 2756 Pnt 1070 1723 Pnt 1043 1730 Pnt 1118 1796 Pnt 1190 1861 Pnt 1260 1923 Pnt 1328 1984 Pnt 1393 2042 Pnt 1457 2099 Pnt 1519 2155 Pnt 1579 2209 Pnt 1637 2261 Pnt 1694 2311 Pnt 1750 2360 Pnt 1804 2407 Pnt 1856 2453 Pnt 1907 2498 Pnt 1958 2541 Pnt 2007 2582 Pnt 2055 2623 Pnt 2102 2661 Pnt 2148 2699 Pnt 1197 1836 Pnt 1110 1765 Pnt 1025 1716 Pnt 1054 1755 Pnt 1127 1820 Pnt 1199 1884 Pnt 1268 1946 Pnt 1336 2006 Pnt 1401 2064 Pnt 1464 2121 Pnt 1525 2175 Pnt 1585 2229 Pnt 1643 2280 Pnt 1699 2330 Pnt 1754 2379 Pnt 1808 2425 Pnt 1860 2471 Pnt 1911 2515 Pnt 1961 2557 Pnt 2010 2599 Pnt 2058 2638 Pnt 1328 1961 Pnt 1238 1887 Pnt 1150 1816 Pnt 1064 1746 Pnt 988 1713 Pnt 1064 1779 Pnt 1137 1844 Pnt 1208 1907 Pnt 1276 1968 Pnt 1343 2028 Pnt 1408 2085 Pnt 1470 2141 Pnt 1531 2196 Pnt 1591 2248 Pnt 1648 2299 Pnt 1704 2349 Pnt 1759 2397 Pnt 1812 2443 Pnt 1864 2488 Pnt 1915 2532 Pnt 1965 2574 Pnt 1463 2092 Pnt 1371 2015 Pnt 1280 1940 Pnt 1191 1867 Pnt 1104 1796 Pnt 1019 1727 Pnt 998 1738 Pnt 1073 1804 Pnt 1146 1868 Pnt 1216 1930 Pnt 1284 1991 Pnt 1351 2050 Pnt 1415 2107 Pnt 1477 2162 Pnt 1537 2216 Pnt 1596 2268 Pnt 1653 2319 Pnt 1709 2368 Pnt 1763 2415 Pnt 1816 2461 Pnt 1868 2506 Pnt 1601 2229 Pnt 1506 2148 Pnt 1413 2069 Pnt 1322 1993 Pnt 1232 1919 Pnt 1144 1847 Pnt 1058 1776 Pnt 973 1720 Pnt 1009 1763 Pnt 1083 1828 Pnt 1155 1892 Pnt 1225 1953 Pnt 1292 2013 Pnt 1358 2072 Pnt 1421 2128 Pnt 1483 2183 Pnt 1543 2236 Pnt 1602 2288 Pnt 1659 2338 Pnt 1714 2386 Pnt 1768 2433 Pnt 1739 2371 Pnt 1644 2287 Pnt 1549 2205 Pnt 1456 2125 Pnt 1363 2047 Pnt 1273 1972 Pnt 1184 1898 Pnt 1097 1827 Pnt 1011 1757 Pnt 943 1721 Pnt 1019 1787 Pnt 1093 1852 Pnt 1164 1915 Pnt 1233 1976 Pnt 1300 2036 Pnt 1365 2093 Pnt 1428 2149 Pnt 1489 2204 Pnt 1549 2256 Pnt 1607 2307 Pnt 1664 2357 Pnt 1874 2517 Pnt 1780 2431 Pnt 1685 2346 Pnt 1591 2262 Pnt 1498 2181 Pnt 1405 2102 Pnt 1314 2025 Pnt 1224 1950 Pnt 1136 1877 Pnt 1050 1807 Pnt 965 1738 Pnt 953 1746 Pnt 1029 1812 Pnt 1102 1876 Pnt 1173 1938 Pnt 1241 1999 Pnt 1308 2058 Pnt 1372 2115 Pnt 1435 2170 Pnt 1496 2224 Pnt 1555 2276 Pnt 2002 2667 Pnt 1912 2578 Pnt 1819 2491 Pnt 1726 2405 Pnt 1632 2321 Pnt 1539 2238 Pnt 1446 2158 Pnt 1355 2080 Pnt 1264 2003 Pnt 1176 1929 Pnt 1088 1857 Pnt 1003 1787 Pnt 920 1723 Pnt 964 1771 Pnt 1039 1836 Pnt 1111 1900 Pnt 1181 1962 Pnt 1249 2021 Pnt 1315 2080 Pnt 1379 2136 Pnt 1441 2191 Pnt 2140 2813 Pnt 2034 2728 Pnt 1947 2639 Pnt 1857 2551 Pnt 1765 2465 Pnt 1672 2379 Pnt 1580 2296 Pnt 1487 2214 Pnt 1395 2135 Pnt 1304 2057 Pnt 1215 1982 Pnt 1127 1908 Pnt 1041 1837 Pnt 956 1768 Pnt 898 1730 Pnt 974 1796 Pnt 1048 1861 Pnt 1120 1924 Pnt 1189 1985 Pnt 1257 2044 Pnt 1322 2102 Pnt 2330 2938 Pnt 2224 2859 Pnt 2116 2778 Pnt 2007 2694 Pnt 1898 2611 Pnt 1802 2524 Pnt 1711 2438 Pnt 1619 2354 Pnt 1527 2271 Pnt 1435 2191 Pnt 1344 2112 Pnt 1254 2035 Pnt 1166 1960 Pnt 1079 1888 Pnt 994 1817 Pnt 910 1748 Pnt 909 1755 Pnt 984 1821 Pnt 1058 1885 Pnt 1129 1947 Pnt 1198 2007 Pnt 2499 3045 Pnt 2407 2977 Pnt 2306 2903 Pnt 2201 2824 Pnt 2093 2743 Pnt 1984 2660 Pnt 1876 2577 Pnt 1769 2494 Pnt 1664 2411 Pnt 1566 2329 Pnt 1475 2247 Pnt 1384 2167 Pnt 1294 2089 Pnt 1205 2013 Pnt 1117 1939 Pnt 1031 1867 Pnt 946 1797 Pnt 864 1729 Pnt 919 1780 Pnt 994 1845 Pnt 1067 1909 Pnt 2628 3122 Pnt 2560 3073 Pnt 2478 3012 Pnt 2384 2943 Pnt 2283 2868 Pnt 2177 2789 Pnt 2070 2708 Pnt 1962 2626 Pnt 1854 2543 Pnt 1749 2461 Pnt 1645 2379 Pnt 1544 2298 Pnt 1445 2219 Pnt 1350 2141 Pnt 1257 2064 Pnt 1167 1989 Pnt 1079 1916 Pnt 995 1845 Pnt 913 1775 Pnt 869 1736 Pnt 949 1802 Pnt 2698 3156 Pnt 2666 3132 Pnt 2613 3093 Pnt 2542 3041 Pnt 2457 2979 Pnt 2361 2909 Pnt 2260 2833 Pnt 2154 2755 Pnt 2047 2674 Pnt 1940 2592 Pnt 1833 2510 Pnt 1729 2428 Pnt 1626 2347 Pnt 1526 2267 Pnt 1428 2188 Pnt 1334 2111 Pnt 1242 2035 Pnt 1153 1961 Pnt 1066 1888 Pnt 983 1818 Pnt 902 1749 Pnt 1975 2434 Pnt 2025 2478 Pnt 2074 2521 Pnt 2122 2562 Pnt 2169 2602 Pnt 2215 2641 Pnt 2260 2678 Pnt 2304 2714 Pnt 2347 2748 Pnt 2390 2782 Pnt 2432 2814 Pnt 2473 2845 Pnt 2514 2875 Pnt 2554 2903 Pnt 2593 2931 Pnt 2632 2957 Pnt 2670 2983 Pnt 2708 3007 Pnt 2746 3031 Pnt 2783 3053 Pnt 2819 3075 Pnt 1875 2359 Pnt 1928 2406 Pnt 1979 2451 Pnt 2029 2495 Pnt 2077 2537 Pnt 2125 2578 Pnt 2172 2617 Pnt 2218 2655 Pnt 2262 2692 Pnt 2306 2728 Pnt 2350 2762 Pnt 2392 2795 Pnt 2434 2827 Pnt 2475 2857 Pnt 2515 2887 Pnt 2555 2915 Pnt 2595 2943 Pnt 2633 2969 Pnt 2672 2994 Pnt 2709 3018 Pnt 2747 3041 Pnt 1771 2280 Pnt 1826 2330 Pnt 1880 2377 Pnt 1932 2423 Pnt 1983 2468 Pnt 2032 2511 Pnt 2081 2553 Pnt 2128 2593 Pnt 2175 2632 Pnt 2220 2670 Pnt 2265 2707 Pnt 2309 2742 Pnt 2352 2776 Pnt 2394 2808 Pnt 2436 2840 Pnt 2477 2870 Pnt 2517 2899 Pnt 2557 2927 Pnt 2596 2954 Pnt 2635 2980 Pnt 2673 3005 Pnt 1663 2197 Pnt 1720 2249 Pnt 1776 2299 Pnt 1831 2348 Pnt 1884 2395 Pnt 1936 2441 Pnt 1986 2485 Pnt 2036 2528 Pnt 2084 2569 Pnt 2131 2609 Pnt 2178 2648 Pnt 2223 2685 Pnt 2267 2721 Pnt 2311 2756 Pnt 2354 2789 Pnt 2396 2821 Pnt 2438 2852 Pnt 2479 2882 Pnt 2519 2911 Pnt 2558 2939 Pnt 2598 2966 Pnt 1549 2109 Pnt 1610 2163 Pnt 1668 2216 Pnt 1725 2268 Pnt 1781 2318 Pnt 1835 2366 Pnt 1888 2413 Pnt 1940 2458 Pnt 1990 2502 Pnt 2039 2544 Pnt 2087 2585 Pnt 2134 2624 Pnt 2180 2663 Pnt 2226 2699 Pnt 2270 2735 Pnt 2313 2769 Pnt 2356 2803 Pnt 2398 2834 Pnt 2440 2865 Pnt 2480 2895 Pnt 2520 2923 Pnt 1430 2016 Pnt 1494 2073 Pnt 1555 2129 Pnt 1615 2183 Pnt 1674 2236 Pnt 1731 2287 Pnt 1786 2336 Pnt 1840 2384 Pnt 1892 2430 Pnt 1944 2475 Pnt 1994 2518 Pnt 2042 2560 Pnt 2090 2601 Pnt 2137 2640 Pnt 2183 2677 Pnt 2228 2714 Pnt 2272 2749 Pnt 2316 2783 Pnt 2358 2816 Pnt 2400 2847 Pnt 2441 2878 Pnt 1305 1918 Pnt 1372 1978 Pnt 1437 2037 Pnt 1500 2094 Pnt 1562 2150 Pnt 1621 2203 Pnt 1679 2255 Pnt 1736 2306 Pnt 1791 2354 Pnt 1844 2402 Pnt 1896 2447 Pnt 1947 2492 Pnt 1997 2535 Pnt 2046 2576 Pnt 2093 2616 Pnt 2140 2655 Pnt 2186 2692 Pnt 2231 2728 Pnt 2275 2763 Pnt 2318 2797 Pnt 2360 2829 Pnt 1173 1815 Pnt 1244 1879 Pnt 1313 1940 Pnt 1379 2000 Pnt 1444 2059 Pnt 1507 2115 Pnt 1568 2170 Pnt 1627 2223 Pnt 1685 2274 Pnt 1741 2324 Pnt 1795 2373 Pnt 1848 2419 Pnt 1900 2465 Pnt 1951 2509 Pnt 2001 2551 Pnt 2049 2592 Pnt 2096 2632 Pnt 2143 2670 Pnt 2188 2707 Pnt 2233 2743 Pnt 2277 2777 Pnt 1034 1707 Pnt 1109 1774 Pnt 1182 1839 Pnt 1253 1902 Pnt 1321 1963 Pnt 1387 2022 Pnt 1451 2080 Pnt 1513 2136 Pnt 1574 2190 Pnt 1633 2243 Pnt 1690 2294 Pnt 1746 2343 Pnt 1800 2391 Pnt 1853 2437 Pnt 1904 2482 Pnt 1955 2525 Pnt 2004 2567 Pnt 2052 2608 Pnt 2099 2647 Pnt 2146 2685 Pnt 2191 2722 Pnt 1153 1783 Pnt 1067 1723 Pnt 1044 1732 Pnt 1119 1798 Pnt 1191 1862 Pnt 1261 1925 Pnt 1329 1985 Pnt 1394 2044 Pnt 1458 2101 Pnt 1520 2156 Pnt 1580 2210 Pnt 1638 2262 Pnt 1695 2313 Pnt 1750 2362 Pnt 1804 2409 Pnt 1857 2455 Pnt 1908 2499 Pnt 1958 2542 Pnt 2007 2584 Pnt 2055 2624 Pnt 2102 2663 Pnt 1283 1906 Pnt 1194 1834 Pnt 1107 1764 Pnt 1022 1715 Pnt 1055 1757 Pnt 1128 1822 Pnt 1200 1886 Pnt 1269 1947 Pnt 1336 2007 Pnt 1402 2066 Pnt 1465 2122 Pnt 1526 2177 Pnt 1586 2230 Pnt 1644 2282 Pnt 1700 2332 Pnt 1755 2380 Pnt 1809 2427 Pnt 1861 2472 Pnt 1912 2516 Pnt 1962 2559 Pnt 2011 2600 Pnt 1417 2035 Pnt 1325 1959 Pnt 1235 1886 Pnt 1147 1814 Pnt 1062 1745 Pnt 989 1715 Pnt 1065 1781 Pnt 1138 1846 Pnt 1209 1909 Pnt 1277 1970 Pnt 1344 2029 Pnt 1409 2087 Pnt 1471 2143 Pnt 1532 2197 Pnt 1591 2250 Pnt 1649 2301 Pnt 1705 2350 Pnt 1760 2398 Pnt 1813 2445 Pnt 1865 2490 Pnt 1916 2533 Pnt 1554 2169 Pnt 1460 2090 Pnt 1368 2013 Pnt 1277 1938 Pnt 1188 1865 Pnt 1101 1794 Pnt 1016 1727 Pnt 999 1740 Pnt 1074 1806 Pnt 1147 1870 Pnt 1217 1932 Pnt 1285 1993 Pnt 1351 2051 Pnt 1416 2108 Pnt 1478 2164 Pnt 1538 2218 Pnt 1597 2270 Pnt 1654 2320 Pnt 1710 2369 Pnt 1764 2417 Pnt 1817 2462 Pnt 1693 2310 Pnt 1598 2227 Pnt 1503 2146 Pnt 1410 2068 Pnt 1319 1991 Pnt 1229 1917 Pnt 1141 1845 Pnt 1055 1775 Pnt 971 1719 Pnt 1010 1764 Pnt 1084 1830 Pnt 1156 1893 Pnt 1226 1955 Pnt 1293 2015 Pnt 1359 2073 Pnt 1422 2130 Pnt 1484 2184 Pnt 1544 2238 Pnt 1602 2289 Pnt 1659 2339 Pnt 1715 2388 Pnt 1831 2455 Pnt 1735 2369 Pnt 1640 2285 Pnt 1546 2203 Pnt 1453 2123 Pnt 1360 2046 Pnt 1270 1970 Pnt 1181 1896 Pnt 1094 1825 Pnt 1009 1756 Pnt 944 1723 Pnt 1020 1789 Pnt 1093 1854 Pnt 1165 1917 Pnt 1234 1978 Pnt 1301 2037 Pnt 1366 2095 Pnt 1429 2151 Pnt 1490 2205 Pnt 1550 2258 Pnt 1608 2309 Pnt 1964 2604 Pnt 1871 2516 Pnt 1777 2429 Pnt 1682 2344 Pnt 1588 2261 Pnt 1495 2180 Pnt 1402 2101 Pnt 1311 2024 Pnt 1221 1949 Pnt 1133 1876 Pnt 1047 1805 Pnt 963 1736 Pnt 954 1748 Pnt 1030 1814 Pnt 1103 1878 Pnt 1173 1940 Pnt 1242 2001 Pnt 1308 2059 Pnt 1373 2116 Pnt 1436 2172 Pnt 1496 2225 Pnt 2086 2755 Pnt 1999 2665 Pnt 1909 2577 Pnt 1816 2489 Pnt 1723 2403 Pnt 1629 2319 Pnt 1536 2237 Pnt 1443 2156 Pnt 1352 2078 Pnt 1261 2002 Pnt 1173 1928 Pnt 1085 1856 Pnt 1000 1786 Pnt 917 1723 Pnt 965 1773 Pnt 1040 1838 Pnt 1112 1902 Pnt 1182 1963 Pnt 1250 2023 Pnt 1316 2081 Pnt 1380 2138 Pnt 2247 2892 Pnt 2138 2810 Pnt 2031 2726 Pnt 1944 2637 Pnt 1854 2549 Pnt 1762 2463 Pnt 1669 2378 Pnt 1576 2294 Pnt 1484 2213 Pnt 1392 2133 Pnt 1301 2056 Pnt 1212 1980 Pnt 1124 1907 Pnt 1038 1835 Pnt 954 1766 Pnt 899 1732 Pnt 975 1798 Pnt 1049 1862 Pnt 1121 1925 Pnt 1190 1986 Pnt 1258 2046 Pnt 2428 3009 Pnt 2328 2936 Pnt 2223 2857 Pnt 2114 2775 Pnt 2005 2692 Pnt 1896 2608 Pnt 1799 2523 Pnt 1708 2437 Pnt 1616 2352 Pnt 1524 2270 Pnt 1432 2189 Pnt 1341 2110 Pnt 1251 2034 Pnt 1163 1959 Pnt 1076 1886 Pnt 991 1815 Pnt 907 1747 Pnt 910 1757 Pnt 985 1823 Pnt 1059 1887 Pnt 1130 1949 Pnt 2577 3102 Pnt 2497 3043 Pnt 2405 2975 Pnt 2305 2901 Pnt 2199 2822 Pnt 2091 2741 Pnt 1982 2658 Pnt 1874 2575 Pnt 1768 2492 Pnt 1663 2409 Pnt 1563 2327 Pnt 1471 2245 Pnt 1381 2166 Pnt 1291 2088 Pnt 1202 2012 Pnt 1114 1938 Pnt 1028 1866 Pnt 944 1796 Pnt 861 1728 Pnt 920 1782 Pnt 995 1847 Pnt 2675 3156 Pnt 2627 3120 Pnt 2559 3071 Pnt 2476 3010 Pnt 2382 2941 Pnt 2281 2866 Pnt 2176 2787 Pnt 2068 2706 Pnt 1960 2624 Pnt 1853 2541 Pnt 1747 2459 Pnt 1644 2377 Pnt 1543 2296 Pnt 1444 2217 Pnt 1348 2139 Pnt 1256 2062 Pnt 1166 1987 Pnt 1078 1914 Pnt 994 1843 Pnt 912 1773 Pnt 872 1738 Pnt 1.000 UL LTb 5204 1496 M 3608 567 L 843 1103 M 3608 567 L 843 1103 M 1596 930 V 5204 1496 M 2439 2033 L 843 1103 M 0 1860 V 0 -1860 R 54 31 V 770 1032 M (0) Cshow 2439 2033 M -55 -32 V 1816 915 M 54 31 V 1743 844 M (0.1) Cshow 3412 1844 M -55 -32 V 2788 726 M 54 31 V 2715 655 M (0.2) Cshow 4384 1655 M -55 -32 V 1827 603 M (a_var) Cshow 3608 567 M -62 12 V 144 -39 R (0) Lshow 843 1103 M 61 -13 V 4127 869 M -62 12 V 144 -39 R (0.2) Lshow 1362 1406 M 61 -13 V 4645 1171 M -62 12 V 144 -39 R (0.4) Lshow 1881 1708 M 61 -13 V 5164 1473 M -62 12 V 144 -39 R (0.6) Lshow 2400 2010 M 61 -13 V 5097 897 M (e_var) Cshow 843 1723 M 63 0 V -189 0 R (0) Rshow 843 1972 M 63 0 V -189 0 R (0.2) Rshow 843 2221 M 63 0 V -189 0 R (0.4) Rshow 843 2471 M 63 0 V -189 0 R (0.6) Rshow 843 2720 M 63 0 V -189 0 R (0.8) Rshow 843 3428 M (i_var) Cshow stroke grestore end showpage %%Trailer %%DocumentFonts: Helvetica %%Pages: 1 %%EndDocument @endspecial 212 2472 a Fn(Figure)39 b(1:)i(Grid)d(o)m(v)m(er)j(the)f (longitudes)f(with)f(amplitude)g(equal)h(to)i(0)p Fj(:)p Fn(1)2796 2439 y Fi(o)2835 2472 y Fn(:)f(the)g(n)m(um)m(b)s(er)f(of)h (con)m(v)m(ergen)m(t)212 2585 y(orbits)29 b(is)h(9261)i(\(equal)e(to)h (the)g(o)m(v)m(erall)g(n)m(um)m(b)s(er)e(of)h(grid{p)s(oin)m(ts\).)f (Axis:)h Fj(a)2859 2599 y Fi(v)r(ar)2971 2585 y Fn(,)h Fj(e)3069 2599 y Fi(v)r(ar)3181 2585 y Fn(,)g Fj(i)3268 2599 y Fi(v)r(ar)3380 2585 y Fn(.)1074 4243 y @beginspecial 50 @llx 50 @lly 654 @urx 482 @ury 2409 @rwi @setspecial %%BeginDocument: fig2.ps %!PS-Adobe-2.0 %%Title: fig2.ps %%Creator: gnuplot 3.7 patchlevel 1 %%CreationDate: Tue May 11 22:11:21 2004 %%DocumentFonts: (atend) %%BoundingBox: 50 50 654 482 %%Orientation: Portrait %%Pages: (atend) %%EndComments /gnudict 256 dict def gnudict begin /Color false def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -46 def /dl {10 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth } def /AL { stroke userlinewidth 2 div setlinewidth } def /UL { dup gnulinewidth mul /userlinewidth exch def 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def end %%EndProlog %%Page: 1 1 gnudict begin gsave 50 50 translate 0.100 0.100 scale 0 setgray newpath (Helvetica) findfont 140 scalefont setfont 1.000 UL LTb 1.000 UL LT0 889 1765 Pnt 962 1839 Pnt 1079 1959 Pnt 1164 2050 Pnt 1223 2117 Pnt 1263 2165 Pnt 1288 2200 Pnt 1300 2222 Pnt 1302 2235 Pnt 1295 2241 Pnt 1281 2240 Pnt 1261 2234 Pnt 1235 2224 Pnt 1205 2210 Pnt 1171 2192 Pnt 1133 2173 Pnt 1092 2151 Pnt 1048 2127 Pnt 1002 2101 Pnt 992 2097 Pnt 1056 2135 Pnt 1182 2093 Pnt 1013 1895 Pnt 866 1737 Pnt 1010 1882 Pnt 1115 1992 Pnt 1188 2075 Pnt 1241 2136 Pnt 1276 2181 Pnt 1297 2211 Pnt 1307 2231 Pnt 1307 2242 Pnt 1298 2246 Pnt 1283 2243 Pnt 1261 2236 Pnt 1235 2225 Pnt 1204 2210 Pnt 1169 2192 Pnt 1130 2172 Pnt 1089 2150 Pnt 1045 2126 Pnt 998 2100 Pnt 1208 2330 Pnt 1053 2097 Pnt 1119 2019 Pnt 941 1825 Pnt 930 1789 Pnt 1060 1921 Pnt 1153 2022 Pnt 1216 2099 Pnt 1258 2155 Pnt 1289 2195 Pnt 1307 2222 Pnt 1313 2239 Pnt 1311 2248 Pnt 1301 2250 Pnt 1284 2246 Pnt 1261 2238 Pnt 1234 2226 Pnt 1202 2210 Pnt 1167 2192 Pnt 1128 2172 Pnt 1086 2149 Pnt 1939 2800 Pnt 1076 2195 Pnt 1075 2065 Pnt 1047 1943 Pnt 875 1760 Pnt 990 1837 Pnt 1106 1958 Pnt 1189 2050 Pnt 1243 2120 Pnt 1274 2173 Pnt 1301 2209 Pnt 1315 2233 Pnt 1320 2247 Pnt 1315 2254 Pnt 1303 2254 Pnt 1285 2249 Pnt 1262 2240 Pnt 1233 2227 Pnt 1201 2211 Pnt 1165 2192 Pnt 1692 2614 Pnt 978 2085 Pnt 1060 2015 Pnt 976 1870 Pnt 911 1756 Pnt 1047 1882 Pnt 1150 1992 Pnt 1222 2077 Pnt 1268 2141 Pnt 1293 2189 Pnt 1312 2222 Pnt 1324 2243 Pnt 1325 2255 Pnt 1319 2259 Pnt 1306 2258 Pnt 1286 2252 Pnt 1262 2242 Pnt 1232 2228 Pnt 3146 3084 Pnt 1501 2454 Pnt 916 2001 Pnt 1020 1954 Pnt 907 1800 Pnt 979 1794 Pnt 1101 1923 Pnt 1192 2024 Pnt 1254 2102 Pnt 1293 2160 Pnt 1311 2204 Pnt 1323 2234 Pnt 1331 2252 Pnt 1331 2262 Pnt 1323 2265 Pnt 1308 2262 Pnt 1287 2254 Pnt 2490 2921 Pnt 1354 2319 Pnt 924 1961 Pnt 966 1887 Pnt 911 1775 Pnt 1043 1844 Pnt 1151 1962 Pnt 1231 2054 Pnt 1284 2125 Pnt 1315 2179 Pnt 1328 2218 Pnt 1333 2245 Pnt 1339 2261 Pnt 1336 2268 Pnt 1326 2270 Pnt 2128 2745 Pnt 1247 2209 Pnt 921 1919 Pnt 906 1820 Pnt 984 1792 Pnt 1103 1891 Pnt 1199 1999 Pnt 1268 2083 Pnt 1313 2147 Pnt 1337 2196 Pnt 1344 2232 Pnt 1342 2256 Pnt 1346 2269 Pnt 1881 2587 Pnt 1176 2123 Pnt 925 1883 Pnt 945 1813 Pnt 1052 1812 Pnt 1159 1934 Pnt 1243 2032 Pnt 1302 2109 Pnt 1339 2168 Pnt 1357 2212 Pnt 1359 2245 Pnt 3769 2933 Pnt 1702 2453 Pnt 1139 2059 Pnt 972 1876 Pnt 1016 1827 Pnt 1118 1863 Pnt 1212 1975 Pnt 1285 2064 Pnt 1335 2134 Pnt 1364 2188 Pnt 2845 2851 Pnt 1572 2341 Pnt 1130 2015 Pnt 1029 1876 Pnt 1086 1841 Pnt 1179 1910 Pnt 1263 2012 Pnt 1325 2094 Pnt 2423 2715 Pnt 1484 2252 Pnt 1145 1987 Pnt 1091 1882 Pnt 1154 1855 Pnt 1237 1954 Pnt 2161 2586 Pnt 1430 2183 Pnt 1177 1971 Pnt 1155 1891 Pnt 1983 2476 Pnt 1405 2133 Pnt 3513 2763 Pnt 920 1796 Pnt 1048 1927 Pnt 1140 2025 Pnt 1206 2098 Pnt 1250 2151 Pnt 1278 2189 Pnt 1293 2214 Pnt 1297 2229 Pnt 1292 2236 Pnt 1279 2237 Pnt 1260 2232 Pnt 1235 2222 Pnt 1205 2209 Pnt 1171 2192 Pnt 1133 2173 Pnt 1093 2151 Pnt 1049 2127 Pnt 1003 2102 Pnt 991 2096 Pnt 1055 2135 Pnt 1120 2174 Pnt 1088 1965 Pnt 884 1761 Pnt 965 1843 Pnt 1082 1962 Pnt 1166 2052 Pnt 1225 2119 Pnt 1264 2167 Pnt 1288 2201 Pnt 1300 2223 Pnt 1302 2236 Pnt 1295 2241 Pnt 1281 2240 Pnt 1260 2234 Pnt 1234 2223 Pnt 1204 2209 Pnt 1169 2192 Pnt 1131 2172 Pnt 1090 2150 Pnt 1046 2126 Pnt 999 2100 Pnt 995 2099 Pnt 996 2111 Pnt 1179 2089 Pnt 1008 1890 Pnt 870 1741 Pnt 1014 1885 Pnt 1118 1995 Pnt 1189 2078 Pnt 1242 2138 Pnt 1277 2182 Pnt 1298 2212 Pnt 1307 2232 Pnt 1307 2242 Pnt 1298 2246 Pnt 1282 2243 Pnt 1260 2236 Pnt 1234 2224 Pnt 1202 2210 Pnt 1167 2192 Pnt 1129 2171 Pnt 1087 2149 Pnt 1043 2125 Pnt 2264 3000 Pnt 1201 2323 Pnt 1055 2096 Pnt 1115 2014 Pnt 937 1820 Pnt 934 1792 Pnt 1063 1924 Pnt 1156 2025 Pnt 1218 2101 Pnt 1259 2157 Pnt 1290 2196 Pnt 1307 2223 Pnt 1314 2240 Pnt 1311 2248 Pnt 1300 2250 Pnt 1283 2246 Pnt 1261 2238 Pnt 1233 2225 Pnt 1201 2210 Pnt 1165 2191 Pnt 1126 2171 Pnt 1929 2792 Pnt 1070 2189 Pnt 1075 2062 Pnt 1043 1938 Pnt 871 1755 Pnt 994 1840 Pnt 1109 1961 Pnt 1191 2053 Pnt 1245 2122 Pnt 1275 2174 Pnt 1302 2210 Pnt 1316 2234 Pnt 1320 2248 Pnt 1315 2254 Pnt 1303 2254 Pnt 1285 2249 Pnt 1261 2240 Pnt 1232 2226 Pnt 1200 2210 Pnt 1683 2607 Pnt 974 2080 Pnt 1059 2011 Pnt 971 1865 Pnt 915 1756 Pnt 1051 1885 Pnt 1153 1995 Pnt 1225 2079 Pnt 1270 2143 Pnt 1294 2190 Pnt 1313 2223 Pnt 1324 2243 Pnt 1326 2255 Pnt 1319 2260 Pnt 1305 2258 Pnt 1286 2252 Pnt 1261 2241 Pnt 3112 3079 Pnt 1494 2448 Pnt 914 1997 Pnt 1017 1950 Pnt 903 1796 Pnt 983 1798 Pnt 1104 1927 Pnt 1194 2027 Pnt 1256 2104 Pnt 1294 2162 Pnt 1312 2205 Pnt 1323 2235 Pnt 1332 2253 Pnt 1331 2262 Pnt 1323 2265 Pnt 1307 2262 Pnt 2473 2913 Pnt 1349 2314 Pnt 924 1959 Pnt 962 1883 Pnt 915 1776 Pnt 1046 1848 Pnt 1154 1965 Pnt 1233 2057 Pnt 1286 2127 Pnt 1317 2180 Pnt 1329 2220 Pnt 1333 2246 Pnt 1339 2261 Pnt 1336 2269 Pnt 2117 2738 Pnt 1244 2205 Pnt 921 1916 Pnt 902 1816 Pnt 988 1793 Pnt 1106 1894 Pnt 1202 2001 Pnt 1270 2085 Pnt 1314 2149 Pnt 1338 2197 Pnt 1345 2233 Pnt 1343 2257 Pnt 1873 2581 Pnt 1174 2119 Pnt 927 1882 Pnt 949 1813 Pnt 1056 1815 Pnt 1163 1937 Pnt 1246 2035 Pnt 1305 2111 Pnt 1341 2170 Pnt 1358 2214 Pnt 3716 2933 Pnt 1695 2447 Pnt 1138 2056 Pnt 975 1875 Pnt 1020 1827 Pnt 1121 1866 Pnt 1216 1977 Pnt 1288 2067 Pnt 1337 2136 Pnt 2825 2846 Pnt 1568 2336 Pnt 1131 2013 Pnt 1032 1876 Pnt 1090 1841 Pnt 1183 1913 Pnt 1265 2015 Pnt 2411 2709 Pnt 1481 2248 Pnt 1146 1985 Pnt 1094 1882 Pnt 1157 1856 Pnt 2153 2581 Pnt 1428 2180 Pnt 1179 1970 Pnt 1977 2471 Pnt 1015 1892 Pnt 1116 1999 Pnt 1188 2078 Pnt 1237 2136 Pnt 1268 2177 Pnt 1286 2205 Pnt 1292 2223 Pnt 1288 2231 Pnt 1277 2233 Pnt 1258 2229 Pnt 1234 2220 Pnt 1205 2208 Pnt 1172 2191 Pnt 1134 2172 Pnt 1094 2151 Pnt 1050 2127 Pnt 1004 2102 Pnt 990 2095 Pnt 1054 2134 Pnt 1119 2173 Pnt 952 1816 Pnt 923 1800 Pnt 1051 1930 Pnt 1142 2027 Pnt 1207 2100 Pnt 1251 2152 Pnt 1279 2190 Pnt 1293 2215 Pnt 1297 2230 Pnt 1292 2237 Pnt 1278 2237 Pnt 1259 2232 Pnt 1234 2222 Pnt 1204 2208 Pnt 1170 2191 Pnt 1132 2172 Pnt 1091 2150 Pnt 1047 2126 Pnt 1000 2100 Pnt 994 2098 Pnt 1058 2136 Pnt 1215 2148 Pnt 1083 1960 Pnt 880 1757 Pnt 969 1846 Pnt 1084 1965 Pnt 1168 2054 Pnt 1226 2120 Pnt 1265 2168 Pnt 1289 2202 Pnt 1301 2224 Pnt 1302 2236 Pnt 1295 2241 Pnt 1280 2240 Pnt 1259 2234 Pnt 1233 2223 Pnt 1202 2209 Pnt 1168 2191 Pnt 1129 2171 Pnt 1088 2149 Pnt 1044 2125 Pnt 997 2099 Pnt 1358 2474 Pnt 1000 2110 Pnt 1175 2084 Pnt 1004 1885 Pnt 874 1745 Pnt 1017 1888 Pnt 1121 1997 Pnt 1191 2080 Pnt 1244 2140 Pnt 1278 2183 Pnt 1299 2213 Pnt 1307 2232 Pnt 1307 2243 Pnt 1297 2246 Pnt 1281 2243 Pnt 1260 2236 Pnt 1233 2224 Pnt 1201 2209 Pnt 1166 2191 Pnt 1127 2171 Pnt 1085 2148 Pnt 2249 2991 Pnt 1195 2316 Pnt 1057 2094 Pnt 1111 2009 Pnt 933 1816 Pnt 938 1796 Pnt 1066 1927 Pnt 1158 2027 Pnt 1220 2103 Pnt 1260 2159 Pnt 1291 2198 Pnt 1308 2224 Pnt 1314 2241 Pnt 1311 2249 Pnt 1300 2250 Pnt 1283 2246 Pnt 1260 2238 Pnt 1232 2225 Pnt 1200 2209 Pnt 1164 2191 Pnt 1918 2783 Pnt 1065 2183 Pnt 1075 2059 Pnt 1039 1934 Pnt 867 1751 Pnt 998 1844 Pnt 1113 1964 Pnt 1193 2055 Pnt 1246 2124 Pnt 1276 2176 Pnt 1303 2211 Pnt 1316 2234 Pnt 1320 2248 Pnt 1315 2255 Pnt 1303 2254 Pnt 1284 2249 Pnt 1260 2239 Pnt 1231 2226 Pnt 1675 2599 Pnt 971 2075 Pnt 1057 2008 Pnt 967 1861 Pnt 920 1757 Pnt 1055 1888 Pnt 1156 1998 Pnt 1227 2081 Pnt 1272 2145 Pnt 1295 2192 Pnt 1314 2224 Pnt 1324 2244 Pnt 1326 2256 Pnt 1319 2260 Pnt 1305 2258 Pnt 1285 2252 Pnt 3080 3074 Pnt 1487 2441 Pnt 912 1993 Pnt 1014 1946 Pnt 899 1792 Pnt 987 1801 Pnt 1108 1930 Pnt 1197 2029 Pnt 1258 2106 Pnt 1295 2164 Pnt 1313 2207 Pnt 1324 2236 Pnt 1332 2253 Pnt 1331 2263 Pnt 1322 2265 Pnt 2458 2906 Pnt 1344 2308 Pnt 924 1956 Pnt 959 1879 Pnt 920 1777 Pnt 1050 1851 Pnt 1158 1968 Pnt 1236 2059 Pnt 1288 2129 Pnt 1318 2182 Pnt 1330 2221 Pnt 1334 2247 Pnt 1339 2262 Pnt 2107 2731 Pnt 1240 2200 Pnt 920 1913 Pnt 899 1812 Pnt 992 1793 Pnt 1110 1897 Pnt 1205 2004 Pnt 1272 2087 Pnt 1316 2151 Pnt 1339 2199 Pnt 1345 2234 Pnt 1865 2575 Pnt 1172 2116 Pnt 929 1881 Pnt 953 1814 Pnt 1060 1819 Pnt 1166 1940 Pnt 1249 2038 Pnt 1307 2113 Pnt 1342 2171 Pnt 3666 2932 Pnt 1689 2442 Pnt 1137 2053 Pnt 977 1875 Pnt 1024 1828 Pnt 1125 1869 Pnt 1219 1980 Pnt 1290 2069 Pnt 2806 2840 Pnt 1563 2332 Pnt 1131 2011 Pnt 1035 1876 Pnt 1094 1842 Pnt 1186 1916 Pnt 2400 2704 Pnt 1478 2244 Pnt 1148 1984 Pnt 1098 1882 Pnt 2145 2576 Pnt 1427 2177 Pnt 1090 1971 Pnt 1168 2057 Pnt 1223 2120 Pnt 1258 2165 Pnt 1278 2196 Pnt 1286 2216 Pnt 1285 2226 Pnt 1274 2230 Pnt 1257 2227 Pnt 1234 2219 Pnt 1205 2206 Pnt 1172 2191 Pnt 1135 2172 Pnt 1095 2151 Pnt 1051 2127 Pnt 1005 2102 Pnt 989 2094 Pnt 1053 2133 Pnt 1119 2172 Pnt 878 1754 Pnt 1018 1896 Pnt 1118 2001 Pnt 1189 2080 Pnt 1238 2137 Pnt 1269 2178 Pnt 1286 2206 Pnt 1292 2223 Pnt 1288 2232 Pnt 1276 2233 Pnt 1258 2229 Pnt 1233 2220 Pnt 1204 2207 Pnt 1170 2191 Pnt 1133 2172 Pnt 1092 2150 Pnt 1048 2126 Pnt 1001 2101 Pnt 993 2097 Pnt 1057 2136 Pnt 1169 2034 Pnt 947 1812 Pnt 926 1804 Pnt 1053 1933 Pnt 1145 2030 Pnt 1209 2102 Pnt 1253 2154 Pnt 1280 2191 Pnt 1294 2216 Pnt 1297 2230 Pnt 1291 2237 Pnt 1278 2237 Pnt 1258 2231 Pnt 1233 2221 Pnt 1203 2208 Pnt 1168 2191 Pnt 1130 2171 Pnt 1089 2149 Pnt 1045 2125 Pnt 998 2099 Pnt 997 2100 Pnt 914 2112 Pnt 1214 2145 Pnt 1077 1955 Pnt 875 1752 Pnt 972 1850 Pnt 1087 1968 Pnt 1170 2057 Pnt 1228 2122 Pnt 1266 2170 Pnt 1290 2203 Pnt 1301 2225 Pnt 1302 2237 Pnt 1294 2242 Pnt 1280 2240 Pnt 1259 2234 Pnt 1232 2223 Pnt 1201 2208 Pnt 1166 2191 Pnt 1128 2170 Pnt 1086 2148 Pnt 1042 2124 Pnt 2755 3199 Pnt 1351 2466 Pnt 1003 2109 Pnt 1172 2080 Pnt 999 1880 Pnt 879 1749 Pnt 1021 1892 Pnt 1124 2000 Pnt 1193 2082 Pnt 1245 2142 Pnt 1279 2185 Pnt 1299 2214 Pnt 1308 2233 Pnt 1306 2243 Pnt 1297 2246 Pnt 1281 2243 Pnt 1259 2236 Pnt 1232 2224 Pnt 1200 2208 Pnt 1164 2190 Pnt 1125 2170 Pnt 2235 2982 Pnt 1188 2309 Pnt 1059 2092 Pnt 1106 2005 Pnt 928 1811 Pnt 942 1800 Pnt 1070 1930 Pnt 1161 2030 Pnt 1222 2105 Pnt 1262 2160 Pnt 1292 2199 Pnt 1308 2225 Pnt 1314 2241 Pnt 1311 2249 Pnt 1300 2251 Pnt 1282 2246 Pnt 1259 2237 Pnt 1231 2225 Pnt 1198 2209 Pnt 1908 2775 Pnt 1060 2177 Pnt 1075 2057 Pnt 1034 1929 Pnt 863 1747 Pnt 1002 1847 Pnt 1116 1966 Pnt 1196 2057 Pnt 1248 2126 Pnt 1278 2178 Pnt 1303 2212 Pnt 1317 2235 Pnt 1320 2249 Pnt 1315 2255 Pnt 1302 2255 Pnt 1283 2249 Pnt 1259 2239 Pnt 1666 2592 Pnt 967 2071 Pnt 1055 2004 Pnt 963 1856 Pnt 924 1758 Pnt 1058 1892 Pnt 1159 2000 Pnt 1229 2083 Pnt 1273 2146 Pnt 1296 2193 Pnt 1314 2225 Pnt 1325 2245 Pnt 1326 2256 Pnt 1319 2260 Pnt 1304 2258 Pnt 3048 3068 Pnt 1480 2434 Pnt 910 1989 Pnt 1011 1942 Pnt 895 1787 Pnt 991 1805 Pnt 1111 1933 Pnt 1200 2032 Pnt 1260 2108 Pnt 1297 2165 Pnt 1314 2208 Pnt 1325 2237 Pnt 1332 2254 Pnt 1331 2263 Pnt 2442 2899 Pnt 1339 2302 Pnt 925 1954 Pnt 956 1875 Pnt 924 1777 Pnt 1054 1855 Pnt 1161 1971 Pnt 1238 2062 Pnt 1290 2131 Pnt 1319 2183 Pnt 1330 2222 Pnt 1334 2248 Pnt 2096 2724 Pnt 1236 2195 Pnt 919 1910 Pnt 895 1808 Pnt 996 1794 Pnt 1114 1901 Pnt 1208 2007 Pnt 1275 2090 Pnt 1318 2153 Pnt 1340 2200 Pnt 1857 2569 Pnt 1170 2112 Pnt 931 1880 Pnt 957 1814 Pnt 1064 1823 Pnt 1169 1943 Pnt 1252 2040 Pnt 1309 2116 Pnt 3618 2931 Pnt 1684 2436 Pnt 1136 2051 Pnt 980 1874 Pnt 1028 1828 Pnt 1129 1873 Pnt 1222 1983 Pnt 2787 2835 Pnt 1559 2327 Pnt 1131 2009 Pnt 1038 1876 Pnt 1098 1842 Pnt 2388 2698 Pnt 1475 2241 Pnt 1149 1982 Pnt 2137 2571 Pnt 1148 2035 Pnt 1208 2103 Pnt 1247 2152 Pnt 1270 2186 Pnt 1281 2209 Pnt 1281 2221 Pnt 1272 2226 Pnt 1256 2224 Pnt 1233 2217 Pnt 1205 2205 Pnt 1173 2190 Pnt 1136 2172 Pnt 1096 2151 Pnt 1052 2128 Pnt 1006 2102 Pnt 988 2094 Pnt 1052 2132 Pnt 983 1860 Pnt 1092 1974 Pnt 1170 2059 Pnt 1224 2122 Pnt 1259 2166 Pnt 1279 2197 Pnt 1287 2216 Pnt 1285 2227 Pnt 1274 2230 Pnt 1257 2227 Pnt 1233 2218 Pnt 1204 2206 Pnt 1171 2190 Pnt 1133 2171 Pnt 1093 2150 Pnt 1049 2126 Pnt 1003 2101 Pnt 992 2096 Pnt 1056 2135 Pnt 1017 1871 Pnt 882 1758 Pnt 1021 1899 Pnt 1120 2004 Pnt 1191 2082 Pnt 1239 2139 Pnt 1270 2180 Pnt 1287 2207 Pnt 1292 2224 Pnt 1288 2232 Pnt 1276 2233 Pnt 1257 2229 Pnt 1232 2220 Pnt 1203 2207 Pnt 1169 2190 Pnt 1131 2171 Pnt 1090 2149 Pnt 1046 2125 Pnt 999 2100 Pnt 996 2099 Pnt 1060 2138 Pnt 1205 2181 Pnt 1163 2029 Pnt 942 1807 Pnt 930 1807 Pnt 1056 1936 Pnt 1147 2032 Pnt 1211 2104 Pnt 1254 2156 Pnt 1281 2192 Pnt 1294 2217 Pnt 1297 2231 Pnt 1291 2237 Pnt 1278 2237 Pnt 1257 2231 Pnt 1232 2221 Pnt 1201 2207 Pnt 1167 2190 Pnt 1129 2170 Pnt 1087 2148 Pnt 1043 2124 Pnt 996 2098 Pnt 1541 2640 Pnt 919 2111 Pnt 1213 2141 Pnt 1072 1950 Pnt 871 1748 Pnt 975 1853 Pnt 1089 1971 Pnt 1172 2059 Pnt 1229 2124 Pnt 1267 2171 Pnt 1291 2204 Pnt 1301 2225 Pnt 1302 2238 Pnt 1294 2242 Pnt 1279 2240 Pnt 1258 2233 Pnt 1231 2222 Pnt 1200 2208 Pnt 1165 2190 Pnt 1126 2170 Pnt 1084 2147 Pnt 2730 3191 Pnt 1343 2459 Pnt 1007 2108 Pnt 1169 2075 Pnt 994 1876 Pnt 883 1753 Pnt 1024 1895 Pnt 1126 2003 Pnt 1195 2084 Pnt 1247 2144 Pnt 1280 2186 Pnt 1300 2215 Pnt 1308 2234 Pnt 1306 2244 Pnt 1297 2247 Pnt 1280 2243 Pnt 1258 2235 Pnt 1230 2223 Pnt 1199 2208 Pnt 1163 2190 Pnt 2220 2973 Pnt 1182 2302 Pnt 1061 2090 Pnt 1102 2000 Pnt 924 1806 Pnt 946 1804 Pnt 1073 1933 Pnt 1163 2032 Pnt 1223 2107 Pnt 1263 2162 Pnt 1293 2200 Pnt 1309 2226 Pnt 1314 2242 Pnt 1311 2250 Pnt 1299 2251 Pnt 1282 2246 Pnt 1258 2237 Pnt 1230 2224 Pnt 1897 2767 Pnt 1055 2171 Pnt 1075 2054 Pnt 1030 1924 Pnt 859 1742 Pnt 1006 1851 Pnt 1119 1969 Pnt 1198 2060 Pnt 1250 2128 Pnt 1279 2179 Pnt 1304 2213 Pnt 1317 2236 Pnt 1320 2250 Pnt 1315 2255 Pnt 1302 2255 Pnt 1283 2249 Pnt 1658 2585 Pnt 964 2066 Pnt 1053 2001 Pnt 959 1851 Pnt 928 1759 Pnt 1062 1895 Pnt 1162 2003 Pnt 1231 2086 Pnt 1275 2148 Pnt 1297 2195 Pnt 1315 2226 Pnt 1325 2246 Pnt 1326 2257 Pnt 1318 2261 Pnt 3018 3063 Pnt 1474 2428 Pnt 908 1986 Pnt 1009 1938 Pnt 891 1783 Pnt 995 1809 Pnt 1114 1936 Pnt 1202 2035 Pnt 1262 2110 Pnt 1298 2167 Pnt 1315 2209 Pnt 1325 2238 Pnt 1333 2255 Pnt 2427 2892 Pnt 1334 2297 Pnt 925 1952 Pnt 952 1871 Pnt 928 1778 Pnt 1058 1858 Pnt 1164 1974 Pnt 1241 2064 Pnt 1292 2133 Pnt 1320 2185 Pnt 1331 2223 Pnt 2086 2717 Pnt 1232 2190 Pnt 918 1907 Pnt 892 1804 Pnt 1000 1795 Pnt 1117 1904 Pnt 1210 2010 Pnt 1277 2092 Pnt 1319 2155 Pnt 1849 2562 Pnt 1167 2108 Pnt 933 1879 Pnt 961 1814 Pnt 1068 1826 Pnt 1173 1946 Pnt 1254 2043 Pnt 3572 2929 Pnt 1678 2431 Pnt 1135 2048 Pnt 983 1874 Pnt 1032 1828 Pnt 1133 1876 Pnt 2769 2829 Pnt 1555 2323 Pnt 1132 2007 Pnt 1041 1876 Pnt 2377 2693 Pnt 1472 2237 Pnt 1192 2086 Pnt 1236 2139 Pnt 1262 2177 Pnt 1275 2201 Pnt 1277 2216 Pnt 1270 2222 Pnt 1255 2221 Pnt 1233 2215 Pnt 1205 2204 Pnt 1173 2190 Pnt 1137 2172 Pnt 1097 2151 Pnt 1053 2128 Pnt 1007 2103 Pnt 987 2093 Pnt 1051 2131 Pnt 1066 1945 Pnt 1150 2037 Pnt 1209 2105 Pnt 1248 2154 Pnt 1271 2188 Pnt 1281 2209 Pnt 1281 2222 Pnt 1272 2226 Pnt 1255 2224 Pnt 1232 2217 Pnt 1204 2205 Pnt 1171 2190 Pnt 1134 2171 Pnt 1094 2150 Pnt 1050 2127 Pnt 1004 2101 Pnt 991 2095 Pnt 1055 2134 Pnt 881 1737 Pnt 986 1863 Pnt 1095 1977 Pnt 1172 2061 Pnt 1225 2123 Pnt 1260 2168 Pnt 1279 2198 Pnt 1287 2217 Pnt 1284 2227 Pnt 1274 2230 Pnt 1256 2227 Pnt 1232 2218 Pnt 1203 2206 Pnt 1169 2190 Pnt 1132 2171 Pnt 1091 2149 Pnt 1047 2125 Pnt 1000 2100 Pnt 995 2098 Pnt 1059 2137 Pnt 1253 2108 Pnt 1012 1866 Pnt 886 1762 Pnt 1023 1902 Pnt 1123 2007 Pnt 1193 2084 Pnt 1240 2141 Pnt 1271 2181 Pnt 1287 2208 Pnt 1292 2225 Pnt 1288 2233 Pnt 1275 2234 Pnt 1256 2229 Pnt 1231 2220 Pnt 1202 2206 Pnt 1167 2189 Pnt 1129 2170 Pnt 1088 2148 Pnt 1044 2124 Pnt 997 2098 Pnt 999 2101 Pnt 947 2185 Pnt 1207 2180 Pnt 1157 2024 Pnt 937 1803 Pnt 933 1811 Pnt 1059 1939 Pnt 1149 2035 Pnt 1212 2106 Pnt 1255 2157 Pnt 1281 2193 Pnt 1295 2217 Pnt 1297 2231 Pnt 1291 2238 Pnt 1277 2237 Pnt 1257 2231 Pnt 1231 2221 Pnt 1200 2207 Pnt 1165 2189 Pnt 1127 2169 Pnt 1085 2147 Pnt 1041 2123 Pnt 4085 3287 Pnt 1532 2632 Pnt 924 2111 Pnt 1211 2138 Pnt 1067 1945 Pnt 866 1744 Pnt 978 1857 Pnt 1092 1974 Pnt 1174 2061 Pnt 1231 2126 Pnt 1268 2173 Pnt 1291 2205 Pnt 1302 2226 Pnt 1302 2238 Pnt 1294 2242 Pnt 1278 2240 Pnt 1257 2233 Pnt 1230 2222 Pnt 1199 2207 Pnt 1163 2189 Pnt 1124 2169 Pnt 2706 3183 Pnt 1335 2451 Pnt 1011 2107 Pnt 1165 2071 Pnt 990 1871 Pnt 888 1757 Pnt 1028 1898 Pnt 1129 2005 Pnt 1197 2086 Pnt 1248 2145 Pnt 1281 2188 Pnt 1301 2216 Pnt 1308 2235 Pnt 1306 2244 Pnt 1296 2247 Pnt 1280 2243 Pnt 1257 2235 Pnt 1229 2223 Pnt 1197 2207 Pnt 2206 2965 Pnt 1176 2296 Pnt 1062 2088 Pnt 1098 1995 Pnt 919 1802 Pnt 950 1807 Pnt 1076 1936 Pnt 1166 2035 Pnt 1225 2109 Pnt 1264 2164 Pnt 1293 2202 Pnt 1309 2227 Pnt 1314 2243 Pnt 1311 2250 Pnt 1299 2251 Pnt 1281 2246 Pnt 1257 2237 Pnt 1887 2759 Pnt 1050 2165 Pnt 1074 2051 Pnt 1026 1919 Pnt 862 1742 Pnt 1010 1854 Pnt 1122 1972 Pnt 1201 2062 Pnt 1251 2130 Pnt 1280 2181 Pnt 1305 2215 Pnt 1318 2237 Pnt 1320 2250 Pnt 1314 2256 Pnt 1301 2255 Pnt 5024 2999 Pnt 1650 2577 Pnt 960 2061 Pnt 1051 1997 Pnt 955 1847 Pnt 933 1760 Pnt 1065 1898 Pnt 1165 2006 Pnt 1233 2088 Pnt 1276 2150 Pnt 1298 2196 Pnt 1316 2227 Pnt 1326 2247 Pnt 1326 2257 Pnt 2989 3057 Pnt 1467 2421 Pnt 907 1982 Pnt 1006 1934 Pnt 887 1778 Pnt 999 1813 Pnt 1118 1939 Pnt 1205 2037 Pnt 1264 2112 Pnt 1300 2169 Pnt 1315 2211 Pnt 1326 2239 Pnt 2411 2884 Pnt 1328 2291 Pnt 925 1949 Pnt 949 1867 Pnt 933 1779 Pnt 1062 1862 Pnt 1167 1977 Pnt 1243 2067 Pnt 1293 2135 Pnt 1322 2187 Pnt 2075 2710 Pnt 1229 2186 Pnt 917 1904 Pnt 893 1802 Pnt 1005 1795 Pnt 1121 1907 Pnt 1213 2012 Pnt 1279 2094 Pnt 1841 2556 Pnt 1165 2104 Pnt 936 1878 Pnt 965 1815 Pnt 1072 1830 Pnt 1176 1950 Pnt 3527 2928 Pnt 1672 2425 Pnt 1135 2045 Pnt 986 1873 Pnt 1036 1829 Pnt 2751 2824 Pnt 1551 2318 Pnt 1132 2005 Pnt 2366 2687 Pnt 1224 2125 Pnt 1254 2166 Pnt 1269 2194 Pnt 1273 2210 Pnt 1267 2218 Pnt 1253 2218 Pnt 1232 2213 Pnt 1206 2203 Pnt 1174 2189 Pnt 1138 2171 Pnt 1098 2151 Pnt 1054 2128 Pnt 1008 2103 Pnt 985 2092 Pnt 1050 2131 Pnt 1130 2014 Pnt 1194 2088 Pnt 1237 2141 Pnt 1263 2178 Pnt 1275 2202 Pnt 1277 2216 Pnt 1269 2222 Pnt 1254 2221 Pnt 1232 2215 Pnt 1204 2204 Pnt 1172 2189 Pnt 1135 2171 Pnt 1095 2150 Pnt 1051 2127 Pnt 1005 2102 Pnt 990 2094 Pnt 1054 2133 Pnt 950 1825 Pnt 1068 1948 Pnt 1152 2040 Pnt 1211 2107 Pnt 1249 2155 Pnt 1272 2189 Pnt 1281 2210 Pnt 1281 2222 Pnt 1271 2226 Pnt 1255 2224 Pnt 1232 2216 Pnt 1203 2205 Pnt 1170 2189 Pnt 1133 2170 Pnt 1092 2149 Pnt 1048 2126 Pnt 1001 2100 Pnt 994 2097 Pnt 1058 2136 Pnt 1087 1930 Pnt 877 1737 Pnt 989 1866 Pnt 1097 1980 Pnt 1174 2064 Pnt 1227 2125 Pnt 1261 2169 Pnt 1280 2199 Pnt 1287 2218 Pnt 1284 2228 Pnt 1273 2230 Pnt 1255 2227 Pnt 1231 2218 Pnt 1202 2205 Pnt 1168 2189 Pnt 1130 2170 Pnt 1089 2148 Pnt 1045 2124 Pnt 998 2099 Pnt 998 2100 Pnt 1062 2139 Pnt 1147 2191 Pnt 1247 2103 Pnt 1007 1862 Pnt 889 1766 Pnt 1026 1905 Pnt 1125 2009 Pnt 1194 2086 Pnt 1242 2142 Pnt 1272 2182 Pnt 1288 2209 Pnt 1292 2225 Pnt 1288 2233 Pnt 1275 2234 Pnt 1256 2229 Pnt 1230 2219 Pnt 1200 2206 Pnt 1166 2189 Pnt 1128 2169 Pnt 1086 2147 Pnt 1042 2123 Pnt 995 2097 Pnt 1764 2830 Pnt 940 2177 Pnt 1209 2178 Pnt 1152 2018 Pnt 932 1798 Pnt 937 1815 Pnt 1061 1942 Pnt 1151 2037 Pnt 1214 2108 Pnt 1256 2159 Pnt 1282 2195 Pnt 1295 2218 Pnt 1297 2232 Pnt 1291 2238 Pnt 1276 2237 Pnt 1256 2231 Pnt 1230 2220 Pnt 1199 2206 Pnt 1164 2189 Pnt 1125 2169 Pnt 1083 2146 Pnt 3984 3292 Pnt 1523 2623 Pnt 929 2110 Pnt 1210 2134 Pnt 1061 1940 Pnt 861 1740 Pnt 981 1860 Pnt 1094 1977 Pnt 1175 2064 Pnt 1232 2128 Pnt 1269 2174 Pnt 1292 2206 Pnt 1302 2227 Pnt 1302 2239 Pnt 1294 2243 Pnt 1278 2240 Pnt 1256 2233 Pnt 1229 2222 Pnt 1197 2206 Pnt 1162 2188 Pnt 2683 3174 Pnt 1328 2443 Pnt 1014 2106 Pnt 1162 2066 Pnt 985 1866 Pnt 892 1761 Pnt 1031 1901 Pnt 1132 2008 Pnt 1199 2089 Pnt 1249 2147 Pnt 1282 2189 Pnt 1301 2217 Pnt 1308 2235 Pnt 1306 2245 Pnt 1296 2247 Pnt 1279 2243 Pnt 1256 2235 Pnt 1228 2223 Pnt 2192 2956 Pnt 1169 2289 Pnt 1064 2087 Pnt 1094 1990 Pnt 915 1797 Pnt 955 1811 Pnt 1080 1940 Pnt 1168 2037 Pnt 1227 2111 Pnt 1266 2165 Pnt 1294 2203 Pnt 1310 2228 Pnt 1315 2243 Pnt 1310 2250 Pnt 1299 2251 Pnt 1280 2246 Pnt 1876 2751 Pnt 1045 2160 Pnt 1074 2048 Pnt 1022 1915 Pnt 866 1743 Pnt 1014 1858 Pnt 1125 1975 Pnt 1203 2065 Pnt 1253 2132 Pnt 1281 2182 Pnt 1306 2216 Pnt 1318 2238 Pnt 1320 2251 Pnt 1314 2256 Pnt 4849 3020 Pnt 1641 2570 Pnt 957 2056 Pnt 1049 1994 Pnt 950 1842 Pnt 937 1764 Pnt 1069 1902 Pnt 1168 2009 Pnt 1235 2090 Pnt 1278 2152 Pnt 1299 2198 Pnt 1316 2228 Pnt 1326 2247 Pnt 2960 3051 Pnt 1461 2415 Pnt 908 1980 Pnt 1003 1930 Pnt 883 1774 Pnt 1003 1816 Pnt 1121 1942 Pnt 1208 2040 Pnt 1266 2114 Pnt 1301 2171 Pnt 1316 2212 Pnt 2396 2877 Pnt 1323 2285 Pnt 925 1947 Pnt 946 1863 Pnt 937 1779 Pnt 1066 1865 Pnt 1170 1980 Pnt 1246 2069 Pnt 1295 2137 Pnt 2065 2703 Pnt 1225 2181 Pnt 916 1901 Pnt 897 1802 Pnt 1009 1796 Pnt 1124 1910 Pnt 1216 2015 Pnt 1834 2550 Pnt 1163 2101 Pnt 938 1877 Pnt 969 1815 Pnt 1076 1833 Pnt 3485 2926 Pnt 1666 2420 Pnt 1134 2042 Pnt 989 1873 Pnt 2733 2818 Pnt 1546 2314 Pnt 1245 2155 Pnt 1263 2185 Pnt 1269 2204 Pnt 1264 2214 Pnt 1252 2216 Pnt 1232 2211 Pnt 1206 2202 Pnt 1174 2188 Pnt 1139 2171 Pnt 1099 2151 Pnt 1055 2128 Pnt 1009 2103 Pnt 984 2091 Pnt 1049 2130 Pnt 1178 2069 Pnt 1225 2127 Pnt 1254 2167 Pnt 1269 2194 Pnt 1273 2211 Pnt 1267 2218 Pnt 1253 2219 Pnt 1231 2213 Pnt 1204 2203 Pnt 1172 2188 Pnt 1136 2171 Pnt 1096 2150 Pnt 1052 2127 Pnt 1006 2102 Pnt 988 2093 Pnt 1053 2132 Pnt 1040 1918 Pnt 1132 2017 Pnt 1195 2090 Pnt 1238 2142 Pnt 1264 2179 Pnt 1276 2203 Pnt 1277 2217 Pnt 1269 2222 Pnt 1253 2221 Pnt 1231 2215 Pnt 1203 2203 Pnt 1170 2188 Pnt 1134 2170 Pnt 1093 2149 Pnt 1049 2126 Pnt 1002 2100 Pnt 993 2096 Pnt 1057 2135 Pnt 935 1775 Pnt 953 1829 Pnt 1071 1951 Pnt 1154 2042 Pnt 1212 2109 Pnt 1250 2157 Pnt 1272 2190 Pnt 1282 2211 Pnt 1281 2223 Pnt 1271 2227 Pnt 1254 2224 Pnt 1231 2216 Pnt 1202 2204 Pnt 1168 2188 Pnt 1131 2170 Pnt 1090 2148 Pnt 1046 2125 Pnt 999 2099 Pnt 997 2099 Pnt 1061 2138 Pnt 1338 2186 Pnt 1081 1925 Pnt 872 1736 Pnt 992 1870 Pnt 1100 1982 Pnt 1176 2066 Pnt 1228 2127 Pnt 1262 2170 Pnt 1280 2200 Pnt 1287 2219 Pnt 1284 2228 Pnt 1273 2230 Pnt 1254 2226 Pnt 1230 2218 Pnt 1200 2205 Pnt 1166 2188 Pnt 1129 2169 Pnt 1087 2147 Pnt 1043 2123 Pnt 996 2098 Pnt 1001 2102 Pnt 1082 2324 Pnt 1152 2190 Pnt 1241 2097 Pnt 1002 1857 Pnt 893 1770 Pnt 1029 1909 Pnt 1127 2012 Pnt 1196 2088 Pnt 1243 2144 Pnt 1272 2184 Pnt 1288 2210 Pnt 1292 2226 Pnt 1287 2233 Pnt 1274 2234 Pnt 1255 2229 Pnt 1229 2219 Pnt 1199 2205 Pnt 1164 2188 Pnt 1126 2168 Pnt 1084 2146 Pnt 1040 2122 Pnt 1753 2821 Pnt 934 2170 Pnt 1211 2176 Pnt 1146 2013 Pnt 927 1794 Pnt 940 1819 Pnt 1064 1945 Pnt 1153 2040 Pnt 1215 2110 Pnt 1257 2160 Pnt 1283 2196 Pnt 1295 2219 Pnt 1297 2233 Pnt 1290 2238 Pnt 1276 2237 Pnt 1255 2231 Pnt 1229 2220 Pnt 1198 2206 Pnt 1162 2188 Pnt 1124 2168 Pnt 3892 3296 Pnt 1515 2615 Pnt 933 2110 Pnt 1208 2131 Pnt 1056 1935 Pnt 857 1736 Pnt 985 1864 Pnt 1097 1980 Pnt 1177 2066 Pnt 1233 2130 Pnt 1271 2176 Pnt 1292 2207 Pnt 1302 2228 Pnt 1302 2239 Pnt 1293 2243 Pnt 1277 2240 Pnt 1255 2233 Pnt 1228 2221 Pnt 1196 2206 Pnt 2659 3166 Pnt 1320 2435 Pnt 1017 2105 Pnt 1158 2062 Pnt 980 1861 Pnt 896 1765 Pnt 1035 1905 Pnt 1134 2011 Pnt 1201 2091 Pnt 1251 2149 Pnt 1283 2190 Pnt 1302 2219 Pnt 1309 2236 Pnt 1306 2245 Pnt 1296 2247 Pnt 1278 2243 Pnt 1255 2235 Pnt 2179 2947 Pnt 1163 2282 Pnt 1065 2085 Pnt 1090 1986 Pnt 911 1793 Pnt 959 1815 Pnt 1083 1943 Pnt 1171 2040 Pnt 1229 2113 Pnt 1267 2167 Pnt 1295 2204 Pnt 1310 2229 Pnt 1315 2244 Pnt 1310 2251 Pnt 1298 2251 Pnt 1866 2742 Pnt 1041 2154 Pnt 1073 2045 Pnt 1017 1910 Pnt 871 1744 Pnt 1017 1861 Pnt 1128 1978 Pnt 1205 2067 Pnt 1255 2134 Pnt 1282 2184 Pnt 1306 2217 Pnt 1319 2239 Pnt 1321 2251 Pnt 4693 3037 Pnt 1633 2562 Pnt 953 2051 Pnt 1047 1990 Pnt 946 1838 Pnt 941 1768 Pnt 1073 1905 Pnt 1170 2011 Pnt 1238 2092 Pnt 1279 2154 Pnt 1300 2199 Pnt 1317 2229 Pnt 2932 3045 Pnt 1454 2408 Pnt 910 1979 Pnt 1000 1926 Pnt 879 1770 Pnt 1007 1820 Pnt 1124 1945 Pnt 1210 2042 Pnt 1268 2116 Pnt 1302 2172 Pnt 2382 2870 Pnt 1318 2280 Pnt 925 1945 Pnt 942 1858 Pnt 942 1780 Pnt 1070 1869 Pnt 1173 1983 Pnt 1248 2071 Pnt 2054 2697 Pnt 1222 2177 Pnt 915 1898 Pnt 901 1803 Pnt 1013 1796 Pnt 1128 1914 Pnt 1826 2544 Pnt 1161 2097 Pnt 940 1877 Pnt 973 1816 Pnt 3445 2923 Pnt 1660 2415 Pnt 1133 2040 Pnt 2715 2813 Pnt 1256 2177 Pnt 1264 2198 Pnt 1262 2209 Pnt 1250 2213 Pnt 1231 2209 Pnt 1206 2201 Pnt 1175 2188 Pnt 1139 2171 Pnt 1100 2151 Pnt 1057 2128 Pnt 1010 2104 Pnt 983 2090 Pnt 1048 2129 Pnt 1213 2113 Pnt 1246 2157 Pnt 1263 2186 Pnt 1269 2205 Pnt 1264 2214 Pnt 1251 2216 Pnt 1231 2211 Pnt 1205 2202 Pnt 1173 2188 Pnt 1137 2170 Pnt 1097 2150 Pnt 1053 2127 Pnt 1007 2102 Pnt 987 2092 Pnt 1052 2132 Pnt 1110 1993 Pnt 1180 2072 Pnt 1226 2129 Pnt 1255 2169 Pnt 1270 2195 Pnt 1273 2211 Pnt 1266 2219 Pnt 1252 2219 Pnt 1231 2213 Pnt 1203 2202 Pnt 1171 2188 Pnt 1134 2170 Pnt 1094 2149 Pnt 1050 2126 Pnt 1004 2101 Pnt 991 2095 Pnt 1056 2134 Pnt 915 1789 Pnt 1043 1921 Pnt 1134 2019 Pnt 1197 2092 Pnt 1239 2144 Pnt 1264 2180 Pnt 1276 2204 Pnt 1277 2217 Pnt 1269 2223 Pnt 1253 2221 Pnt 1230 2215 Pnt 1202 2203 Pnt 1169 2188 Pnt 1132 2169 Pnt 1091 2148 Pnt 1047 2125 Pnt 1000 2099 Pnt 996 2098 Pnt 1060 2137 Pnt 1159 1992 Pnt 930 1771 Pnt 956 1832 Pnt 1073 1954 Pnt 1156 2044 Pnt 1214 2111 Pnt 1251 2158 Pnt 1273 2191 Pnt 1282 2212 Pnt 1281 2223 Pnt 1271 2227 Pnt 1253 2224 Pnt 1230 2216 Pnt 1201 2204 Pnt 1167 2188 Pnt 1129 2169 Pnt 1088 2147 Pnt 1044 2123 Pnt 997 2098 Pnt 1000 2101 Pnt 1065 2140 Pnt 1058 2186 Pnt 1332 2181 Pnt 1076 1920 Pnt 868 1736 Pnt 995 1873 Pnt 1102 1985 Pnt 1178 2068 Pnt 1229 2129 Pnt 1262 2172 Pnt 1281 2201 Pnt 1287 2219 Pnt 1284 2229 Pnt 1272 2230 Pnt 1254 2226 Pnt 1229 2217 Pnt 1199 2204 Pnt 1165 2188 Pnt 1127 2168 Pnt 1085 2146 Pnt 1041 2122 Pnt 994 2096 Pnt 2046 3045 Pnt 1075 2316 Pnt 1156 2190 Pnt 1236 2092 Pnt 997 1852 Pnt 896 1774 Pnt 1032 1912 Pnt 1129 2015 Pnt 1198 2091 Pnt 1244 2146 Pnt 1273 2185 Pnt 1288 2211 Pnt 1293 2226 Pnt 1287 2234 Pnt 1274 2234 Pnt 1254 2229 Pnt 1228 2219 Pnt 1198 2205 Pnt 1163 2188 Pnt 1124 2168 Pnt 1082 2145 Pnt 1743 2811 Pnt 927 2163 Pnt 1212 2174 Pnt 1141 2007 Pnt 923 1790 Pnt 944 1822 Pnt 1067 1948 Pnt 1155 2042 Pnt 1217 2112 Pnt 1258 2162 Pnt 1283 2197 Pnt 1296 2220 Pnt 1297 2233 Pnt 1290 2238 Pnt 1275 2237 Pnt 1254 2231 Pnt 1228 2220 Pnt 1196 2205 Pnt 1161 2187 Pnt 3806 3298 Pnt 1506 2606 Pnt 938 2110 Pnt 1206 2127 Pnt 1051 1930 Pnt 852 1731 Pnt 988 1867 Pnt 1099 1983 Pnt 1179 2068 Pnt 1235 2132 Pnt 1272 2177 Pnt 1293 2209 Pnt 1303 2229 Pnt 1302 2240 Pnt 1293 2243 Pnt 1277 2240 Pnt 1254 2233 Pnt 1227 2221 Pnt 2637 3158 Pnt 1313 2428 Pnt 1021 2104 Pnt 1155 2057 Pnt 976 1856 Pnt 900 1769 Pnt 1038 1908 Pnt 1137 2013 Pnt 1203 2093 Pnt 1252 2151 Pnt 1284 2192 Pnt 1302 2220 Pnt 1309 2237 Pnt 1306 2246 Pnt 1295 2247 Pnt 1278 2243 Pnt 2165 2938 Pnt 1157 2275 Pnt 1067 2083 Pnt 1086 1981 Pnt 906 1788 Pnt 963 1819 Pnt 1086 1946 Pnt 1173 2042 Pnt 1231 2115 Pnt 1268 2168 Pnt 1296 2205 Pnt 1311 2230 Pnt 1315 2245 Pnt 1310 2251 Pnt 1856 2734 Pnt 1036 2148 Pnt 1073 2042 Pnt 1013 1905 Pnt 875 1744 Pnt 1021 1865 Pnt 1131 1981 Pnt 1207 2069 Pnt 1256 2136 Pnt 1283 2185 Pnt 1307 2218 Pnt 1319 2240 Pnt 4552 3052 Pnt 1625 2555 Pnt 950 2047 Pnt 1045 1986 Pnt 942 1833 Pnt 946 1771 Pnt 1076 1908 Pnt 1173 2014 Pnt 1240 2095 Pnt 1281 2155 Pnt 1301 2201 Pnt 2905 3038 Pnt 1447 2402 Pnt 911 1977 Pnt 997 1922 Pnt 875 1765 Pnt 1011 1824 Pnt 1128 1948 Pnt 1213 2045 Pnt 1270 2118 Pnt 2367 2863 Pnt 1313 2274 Pnt 925 1942 Pnt 939 1854 Pnt 946 1781 Pnt 1073 1872 Pnt 1176 1986 Pnt 2044 2690 Pnt 1218 2172 Pnt 913 1895 Pnt 905 1803 Pnt 1017 1797 Pnt 1818 2538 Pnt 1159 2093 Pnt 942 1876 Pnt 3405 2921 Pnt 1654 2409 Pnt 1260 2192 Pnt 1259 2205 Pnt 1249 2209 Pnt 1231 2207 Pnt 1206 2199 Pnt 1176 2187 Pnt 1140 2171 Pnt 1101 2151 Pnt 1058 2129 Pnt 1011 2104 Pnt 982 2089 Pnt 1047 2128 Pnt 1237 2145 Pnt 1257 2178 Pnt 1265 2199 Pnt 1261 2210 Pnt 1250 2213 Pnt 1230 2209 Pnt 1205 2200 Pnt 1174 2187 Pnt 1138 2170 Pnt 1098 2150 Pnt 1055 2127 Pnt 1008 2102 Pnt 986 2091 Pnt 1051 2131 Pnt 1163 2053 Pnt 1214 2114 Pnt 1246 2158 Pnt 1264 2187 Pnt 1269 2206 Pnt 1264 2214 Pnt 1251 2216 Pnt 1230 2211 Pnt 1203 2201 Pnt 1172 2187 Pnt 1135 2170 Pnt 1095 2149 Pnt 1051 2126 Pnt 1005 2101 Pnt 990 2094 Pnt 1055 2134 Pnt 1014 1890 Pnt 1112 1996 Pnt 1181 2074 Pnt 1227 2130 Pnt 1256 2170 Pnt 1270 2196 Pnt 1273 2212 Pnt 1266 2219 Pnt 1251 2219 Pnt 1230 2213 Pnt 1202 2202 Pnt 1170 2187 Pnt 1133 2169 Pnt 1092 2148 Pnt 1048 2125 Pnt 1001 2099 Pnt 995 2097 Pnt 1059 2136 Pnt 990 1823 Pnt 918 1792 Pnt 1045 1924 Pnt 1136 2022 Pnt 1198 2094 Pnt 1240 2145 Pnt 1265 2181 Pnt 1276 2205 Pnt 1277 2218 Pnt 1268 2223 Pnt 1252 2221 Pnt 1229 2214 Pnt 1201 2203 Pnt 1168 2187 Pnt 1130 2169 Pnt 1089 2147 Pnt 1045 2124 Pnt 998 2098 Pnt 999 2100 Pnt 1064 2139 Pnt 1377 2242 Pnt 1153 1987 Pnt 926 1767 Pnt 959 1836 Pnt 1076 1957 Pnt 1158 2047 Pnt 1215 2113 Pnt 1252 2160 Pnt 1273 2192 Pnt 1282 2213 Pnt 1280 2224 Pnt 1270 2227 Pnt 1253 2224 Pnt 1229 2216 Pnt 1199 2203 Pnt 1166 2187 Pnt 1128 2168 Pnt 1086 2146 Pnt 1042 2122 Pnt 995 2097 Pnt 1003 2103 Pnt 1240 2483 Pnt 1063 2186 Pnt 1327 2175 Pnt 1071 1915 Pnt 864 1735 Pnt 998 1877 Pnt 1104 1988 Pnt 1179 2070 Pnt 1231 2131 Pnt 1263 2173 Pnt 1281 2202 Pnt 1287 2220 Pnt 1284 2229 Pnt 1272 2231 Pnt 1253 2226 Pnt 1228 2217 Pnt 1198 2204 Pnt 1164 2187 Pnt 1125 2167 Pnt 1083 2145 Pnt 1039 2121 Pnt 2033 3035 Pnt 1067 2308 Pnt 1161 2189 Pnt 1230 2086 Pnt 992 1847 Pnt 900 1778 Pnt 1035 1915 Pnt 1131 2017 Pnt 1199 2093 Pnt 1245 2147 Pnt 1274 2186 Pnt 1289 2212 Pnt 1293 2227 Pnt 1287 2234 Pnt 1273 2234 Pnt 1253 2228 Pnt 1227 2218 Pnt 1197 2204 Pnt 1161 2187 Pnt 1123 2167 Pnt 1733 2802 Pnt 921 2156 Pnt 1214 2172 Pnt 1135 2002 Pnt 918 1785 Pnt 947 1826 Pnt 1069 1951 Pnt 1157 2045 Pnt 1218 2114 Pnt 1259 2164 Pnt 1284 2198 Pnt 1296 2221 Pnt 1297 2234 Pnt 1290 2239 Pnt 1275 2237 Pnt 1253 2231 Pnt 1227 2219 Pnt 1195 2205 Pnt 3727 3299 Pnt 1497 2597 Pnt 943 2109 Pnt 1205 2123 Pnt 1046 1925 Pnt 848 1727 Pnt 992 1871 Pnt 1102 1985 Pnt 1181 2071 Pnt 1236 2134 Pnt 1273 2179 Pnt 1294 2210 Pnt 1303 2229 Pnt 1302 2240 Pnt 1293 2243 Pnt 1276 2240 Pnt 1254 2232 Pnt 2615 3149 Pnt 1306 2420 Pnt 1024 2103 Pnt 1151 2053 Pnt 971 1851 Pnt 905 1773 Pnt 1042 1911 Pnt 1140 2016 Pnt 1205 2095 Pnt 1253 2152 Pnt 1285 2193 Pnt 1303 2220 Pnt 1309 2237 Pnt 1306 2246 Pnt 1295 2247 Pnt 2151 2930 Pnt 1151 2268 Pnt 1068 2081 Pnt 1082 1976 Pnt 902 1784 Pnt 967 1822 Pnt 1089 1949 Pnt 1176 2045 Pnt 1233 2117 Pnt 1269 2170 Pnt 1297 2207 Pnt 1311 2231 Pnt 1315 2245 Pnt 1845 2726 Pnt 1031 2142 Pnt 1072 2039 Pnt 1009 1901 Pnt 880 1745 Pnt 1025 1868 Pnt 1134 1984 Pnt 1210 2072 Pnt 1258 2138 Pnt 1284 2187 Pnt 1308 2219 Pnt 4425 3063 Pnt 1617 2548 Pnt 947 2042 Pnt 1043 1983 Pnt 938 1829 Pnt 950 1775 Pnt 1080 1911 Pnt 1176 2017 Pnt 1242 2097 Pnt 1282 2157 Pnt 2879 3032 Pnt 1441 2395 Pnt 913 1975 Pnt 994 1918 Pnt 876 1764 Pnt 1016 1827 Pnt 1131 1951 Pnt 1216 2047 Pnt 2353 2855 Pnt 1308 2269 Pnt 925 1940 Pnt 936 1850 Pnt 950 1781 Pnt 1077 1875 Pnt 2034 2683 Pnt 1215 2167 Pnt 912 1892 Pnt 909 1803 Pnt 1811 2531 Pnt 1157 2090 Pnt 3368 2918 Pnt 1256 2200 Pnt 1247 2206 Pnt 1230 2205 Pnt 1206 2198 Pnt 1176 2186 Pnt 1141 2170 Pnt 1102 2151 Pnt 1059 2129 Pnt 1013 2104 Pnt 981 2088 Pnt 1046 2127 Pnt 1250 2170 Pnt 1260 2193 Pnt 1259 2205 Pnt 1248 2210 Pnt 1230 2207 Pnt 1205 2199 Pnt 1174 2186 Pnt 1139 2170 Pnt 1099 2150 Pnt 1056 2128 Pnt 1009 2103 Pnt 985 2090 Pnt 1050 2130 Pnt 1202 2099 Pnt 1237 2147 Pnt 1257 2179 Pnt 1265 2200 Pnt 1261 2210 Pnt 1249 2213 Pnt 1230 2209 Pnt 1204 2200 Pnt 1172 2187 Pnt 1136 2169 Pnt 1096 2149 Pnt 1053 2126 Pnt 1006 2101 Pnt 989 2093 Pnt 1054 2133 Pnt 1090 1971 Pnt 1165 2055 Pnt 1215 2116 Pnt 1247 2159 Pnt 1264 2188 Pnt 1269 2206 Pnt 1264 2215 Pnt 1250 2216 Pnt 1229 2211 Pnt 1202 2201 Pnt 1170 2187 Pnt 1134 2169 Pnt 1093 2148 Pnt 1049 2125 Pnt 1002 2100 Pnt 993 2096 Pnt 1058 2136 Pnt 879 1750 Pnt 1016 1893 Pnt 1114 1998 Pnt 1183 2076 Pnt 1229 2132 Pnt 1257 2171 Pnt 1271 2197 Pnt 1273 2212 Pnt 1266 2219 Pnt 1251 2219 Pnt 1229 2213 Pnt 1201 2202 Pnt 1168 2187 Pnt 1131 2168 Pnt 1090 2147 Pnt 1046 2124 Pnt 999 2098 Pnt 998 2099 Pnt 1063 2138 Pnt 1233 2059 Pnt 986 1819 Pnt 922 1796 Pnt 1048 1927 Pnt 1138 2024 Pnt 1200 2096 Pnt 1241 2147 Pnt 1265 2182 Pnt 1277 2205 Pnt 1277 2218 Pnt 1268 2223 Pnt 1251 2221 Pnt 1228 2214 Pnt 1200 2202 Pnt 1166 2187 Pnt 1129 2168 Pnt 1087 2146 Pnt 1043 2123 Pnt 996 2097 Pnt 1002 2102 Pnt 1067 2141 Pnt 948 2176 Pnt 1380 2241 Pnt 1148 1982 Pnt 921 1763 Pnt 962 1839 Pnt 1078 1960 Pnt 1160 2049 Pnt 1216 2114 Pnt 1253 2161 Pnt 1274 2193 Pnt 1282 2213 Pnt 1280 2224 Pnt 1270 2227 Pnt 1252 2224 Pnt 1228 2215 Pnt 1198 2203 Pnt 1164 2186 Pnt 1126 2167 Pnt 1084 2145 Pnt 1040 2121 Pnt 992 2095 Pnt 2445 3280 Pnt 1232 2474 Pnt 1069 2186 Pnt 1321 2170 Pnt 1066 1910 Pnt 859 1734 Pnt 1001 1880 Pnt 1107 1991 Pnt 1181 2073 Pnt 1232 2132 Pnt 1264 2175 Pnt 1282 2203 Pnt 1288 2221 Pnt 1284 2229 Pnt 1271 2231 Pnt 1252 2226 Pnt 1227 2217 Pnt 1197 2203 Pnt 1162 2186 Pnt 1123 2167 Pnt 1082 2144 Pnt 2020 3025 Pnt 1060 2300 Pnt 1165 2188 Pnt 1224 2080 Pnt 987 1843 Pnt 904 1782 Pnt 1038 1918 Pnt 1134 2020 Pnt 1201 2095 Pnt 1247 2149 Pnt 1275 2187 Pnt 1289 2213 Pnt 1293 2228 Pnt 1287 2234 Pnt 1273 2234 Pnt 1252 2228 Pnt 1226 2218 Pnt 1195 2204 Pnt 1160 2186 Pnt 1722 2793 Pnt 915 2149 Pnt 1215 2169 Pnt 1129 1997 Pnt 913 1781 Pnt 950 1830 Pnt 1072 1954 Pnt 1159 2047 Pnt 1220 2116 Pnt 1260 2165 Pnt 1285 2199 Pnt 1296 2222 Pnt 1297 2234 Pnt 1290 2239 Pnt 1274 2237 Pnt 1253 2230 Pnt 1226 2219 Pnt 3654 3299 Pnt 1488 2589 Pnt 948 2109 Pnt 1202 2119 Pnt 1041 1920 Pnt 843 1723 Pnt 995 1874 Pnt 1105 1988 Pnt 1183 2073 Pnt 1238 2135 Pnt 1274 2180 Pnt 1294 2211 Pnt 1303 2230 Pnt 1302 2240 Pnt 1292 2243 Pnt 1275 2240 Pnt 2593 3141 Pnt 1298 2412 Pnt 1027 2102 Pnt 1147 2048 Pnt 967 1847 Pnt 909 1776 Pnt 1045 1914 Pnt 1142 2019 Pnt 1207 2097 Pnt 1255 2154 Pnt 1286 2194 Pnt 1303 2221 Pnt 1309 2238 Pnt 1306 2246 Pnt 2138 2921 Pnt 1145 2262 Pnt 1069 2079 Pnt 1077 1971 Pnt 898 1779 Pnt 971 1826 Pnt 1092 1952 Pnt 1178 2047 Pnt 1234 2119 Pnt 1270 2172 Pnt 1298 2208 Pnt 1312 2232 Pnt 1835 2718 Pnt 1026 2137 Pnt 1071 2036 Pnt 1005 1896 Pnt 884 1746 Pnt 1029 1872 Pnt 1137 1987 Pnt 1212 2074 Pnt 1260 2140 Pnt 1285 2188 Pnt 4309 3073 Pnt 1609 2540 Pnt 944 2037 Pnt 1041 1979 Pnt 934 1824 Pnt 954 1779 Pnt 1083 1915 Pnt 1179 2019 Pnt 1244 2099 Pnt 2853 3025 Pnt 1435 2389 Pnt 914 1973 Pnt 991 1914 Pnt 880 1765 Pnt 1020 1831 Pnt 1134 1954 Pnt 2338 2848 Pnt 1303 2263 Pnt 925 1937 Pnt 932 1846 Pnt 955 1782 Pnt 2024 2676 Pnt 1211 2163 Pnt 911 1889 Pnt 1803 2525 Pnt 1245 2203 Pnt 1229 2203 Pnt 1206 2197 Pnt 1177 2185 Pnt 1142 2170 Pnt 1103 2151 Pnt 1060 2129 Pnt 1014 2105 Pnt 979 2086 Pnt 1045 2126 Pnt 1255 2186 Pnt 1256 2201 Pnt 1247 2206 Pnt 1229 2205 Pnt 1205 2198 Pnt 1175 2186 Pnt 1140 2170 Pnt 1100 2150 Pnt 1057 2128 Pnt 1010 2103 Pnt 984 2089 Pnt 1049 2129 Pnt 1228 2135 Pnt 1251 2171 Pnt 1260 2193 Pnt 1259 2206 Pnt 1248 2210 Pnt 1229 2207 Pnt 1204 2199 Pnt 1173 2186 Pnt 1137 2169 Pnt 1097 2149 Pnt 1054 2127 Pnt 1007 2102 Pnt 988 2092 Pnt 1053 2132 Pnt 1148 2035 Pnt 1203 2101 Pnt 1238 2148 Pnt 1258 2180 Pnt 1265 2200 Pnt 1261 2211 Pnt 1249 2213 Pnt 1229 2209 Pnt 1202 2200 Pnt 1171 2186 Pnt 1135 2169 Pnt 1094 2148 Pnt 1050 2125 Pnt 1004 2100 Pnt 992 2095 Pnt 1058 2135 Pnt 986 1860 Pnt 1092 1973 Pnt 1166 2057 Pnt 1217 2118 Pnt 1248 2161 Pnt 1265 2189 Pnt 1269 2207 Pnt 1263 2215 Pnt 1249 2216 Pnt 1228 2211 Pnt 1201 2200 Pnt 1169 2186 Pnt 1132 2168 Pnt 1091 2147 Pnt 1047 2124 Pnt 1000 2099 Pnt 997 2098 Pnt 1062 2138 Pnt 1047 1873 Pnt 882 1754 Pnt 1019 1896 Pnt 1116 2001 Pnt 1184 2078 Pnt 1230 2134 Pnt 1257 2172 Pnt 1271 2198 Pnt 1273 2213 Pnt 1266 2219 Pnt 1250 2219 Pnt 1228 2212 Pnt 1200 2201 Pnt 1167 2186 Pnt 1129 2168 Pnt 1088 2146 Pnt 1044 2123 Pnt 997 2097 Pnt 1001 2101 Pnt 1066 2140 Pnt 1301 2235 Pnt 1227 2053 Pnt 981 1814 Pnt 925 1800 Pnt 1051 1930 Pnt 1140 2027 Pnt 1201 2098 Pnt 1242 2148 Pnt 1266 2184 Pnt 1277 2206 Pnt 1277 2219 Pnt 1267 2223 Pnt 1251 2221 Pnt 1227 2214 Pnt 1198 2202 Pnt 1165 2186 Pnt 1127 2167 Pnt 1085 2145 Pnt 1041 2121 Pnt 993 2096 Pnt 1005 2104 Pnt 1424 2665 Pnt 955 2176 Pnt 1381 2239 Pnt 1143 1977 Pnt 917 1758 Pnt 965 1843 Pnt 1081 1963 Pnt 1162 2052 Pnt 1218 2116 Pnt 1254 2163 Pnt 1274 2194 Pnt 1282 2214 Pnt 1280 2224 Pnt 1269 2227 Pnt 1251 2224 Pnt 1227 2215 Pnt 1197 2202 Pnt 1163 2186 Pnt 1124 2166 Pnt 1083 2144 Pnt 1038 2120 Pnt 2426 3270 Pnt 1224 2466 Pnt 1075 2186 Pnt 1316 2164 Pnt 1060 1905 Pnt 857 1735 Pnt 1004 1883 Pnt 1109 1994 Pnt 1183 2075 Pnt 1233 2134 Pnt 1265 2176 Pnt 1282 2204 Pnt 1288 2221 Pnt 1283 2230 Pnt 1271 2231 Pnt 1251 2226 Pnt 1226 2216 Pnt 1195 2203 Pnt 1161 2186 Pnt 1122 2166 Pnt 2007 3015 Pnt 1053 2292 Pnt 1169 2188 Pnt 1218 2075 Pnt 982 1838 Pnt 907 1786 Pnt 1040 1922 Pnt 1136 2022 Pnt 1203 2097 Pnt 1248 2151 Pnt 1276 2189 Pnt 1290 2214 Pnt 1293 2228 Pnt 1286 2235 Pnt 1272 2234 Pnt 1252 2228 Pnt 1225 2218 Pnt 1194 2203 Pnt 1712 2783 Pnt 909 2142 Pnt 1216 2167 Pnt 1124 1992 Pnt 908 1776 Pnt 954 1833 Pnt 1075 1957 Pnt 1161 2050 Pnt 1221 2118 Pnt 1261 2167 Pnt 1286 2200 Pnt 1297 2222 Pnt 1297 2235 Pnt 1289 2239 Pnt 1274 2237 Pnt 1252 2230 Pnt 3586 3298 Pnt 1480 2580 Pnt 952 2108 Pnt 1200 2115 Pnt 1036 1914 Pnt 848 1727 Pnt 999 1878 Pnt 1107 1991 Pnt 1185 2075 Pnt 1239 2137 Pnt 1274 2181 Pnt 1295 2212 Pnt 1303 2231 Pnt 1302 2241 Pnt 1292 2244 Pnt 2572 3132 Pnt 1291 2405 Pnt 1030 2101 Pnt 1144 2043 Pnt 962 1842 Pnt 913 1780 Pnt 1049 1917 Pnt 1145 2021 Pnt 1209 2099 Pnt 1256 2156 Pnt 1287 2196 Pnt 1304 2222 Pnt 1310 2239 Pnt 2125 2912 Pnt 1139 2255 Pnt 1070 2076 Pnt 1073 1966 Pnt 894 1775 Pnt 975 1830 Pnt 1096 1955 Pnt 1181 2050 Pnt 1236 2121 Pnt 1272 2173 Pnt 1298 2209 Pnt 1825 2710 Pnt 1022 2131 Pnt 1070 2033 Pnt 1000 1891 Pnt 889 1747 Pnt 1032 1875 Pnt 1140 1989 Pnt 1214 2076 Pnt 1261 2141 Pnt 4203 3080 Pnt 1601 2533 Pnt 941 2033 Pnt 1038 1975 Pnt 930 1820 Pnt 958 1783 Pnt 1087 1918 Pnt 1181 2022 Pnt 2828 3019 Pnt 1428 2383 Pnt 915 1971 Pnt 988 1910 Pnt 885 1765 Pnt 1024 1835 Pnt 2324 2840 Pnt 1299 2258 Pnt 925 1934 Pnt 929 1842 Pnt 2014 2669 Pnt 1208 2158 Pnt 1229 2200 Pnt 1206 2195 Pnt 1177 2185 Pnt 1143 2170 Pnt 1104 2151 Pnt 1062 2129 Pnt 1015 2105 Pnt 978 2085 Pnt 1044 2126 Pnt 1253 2196 Pnt 1245 2203 Pnt 1229 2203 Pnt 1205 2196 Pnt 1176 2185 Pnt 1141 2169 Pnt 1101 2150 Pnt 1058 2128 Pnt 1012 2103 Pnt 982 2088 Pnt 1048 2128 Pnt 1244 2162 Pnt 1256 2187 Pnt 1256 2201 Pnt 1246 2207 Pnt 1228 2205 Pnt 1204 2197 Pnt 1174 2185 Pnt 1138 2169 Pnt 1098 2149 Pnt 1055 2127 Pnt 1008 2102 Pnt 987 2091 Pnt 1052 2131 Pnt 1190 2086 Pnt 1229 2137 Pnt 1251 2172 Pnt 1260 2194 Pnt 1258 2206 Pnt 1247 2210 Pnt 1228 2207 Pnt 1203 2198 Pnt 1172 2185 Pnt 1136 2168 Pnt 1095 2148 Pnt 1052 2125 Pnt 1005 2100 Pnt 991 2094 Pnt 1057 2134 Pnt 1069 1947 Pnt 1149 2037 Pnt 1204 2103 Pnt 1239 2150 Pnt 1258 2181 Pnt 1265 2201 Pnt 1261 2211 Pnt 1248 2213 Pnt 1228 2209 Pnt 1201 2199 Pnt 1169 2185 Pnt 1133 2168 Pnt 1092 2147 Pnt 1048 2124 Pnt 1001 2099 Pnt 995 2097 Pnt 1061 2137 Pnt 901 1745 Pnt 989 1863 Pnt 1094 1976 Pnt 1168 2059 Pnt 1218 2120 Pnt 1249 2162 Pnt 1265 2190 Pnt 1269 2207 Pnt 1263 2215 Pnt 1249 2216 Pnt 1227 2211 Pnt 1200 2200 Pnt 1167 2185 Pnt 1130 2167 Pnt 1089 2146 Pnt 1045 2123 Pnt 998 2097 Pnt 1000 2100 Pnt 1065 2140 Pnt 1304 2126 Pnt 1043 1868 Pnt 886 1758 Pnt 1022 1899 Pnt 1119 2003 Pnt 1186 2080 Pnt 1231 2135 Pnt 1258 2174 Pnt 1271 2199 Pnt 1273 2214 Pnt 1265 2220 Pnt 1249 2219 Pnt 1227 2212 Pnt 1199 2201 Pnt 1165 2185 Pnt 1128 2167 Pnt 1086 2145 Pnt 1042 2122 Pnt 994 2096 Pnt 1004 2103 Pnt 1069 2142 Pnt 871 2191 Pnt 1307 2236 Pnt 1222 2048 Pnt 977 1810 Pnt 928 1804 Pnt 1053 1933 Pnt 1142 2029 Pnt 1203 2100 Pnt 1243 2150 Pnt 1267 2185 Pnt 1277 2207 Pnt 1277 2219 Pnt 1267 2224 Pnt 1250 2221 Pnt 1226 2214 Pnt 1197 2201 Pnt 1163 2185 Pnt 1125 2166 Pnt 1084 2144 Pnt 1039 2120 Pnt 991 2094 Pnt 3244 3493 Pnt 1415 2655 Pnt 961 2176 Pnt 1382 2236 Pnt 1137 1971 Pnt 912 1754 Pnt 969 1846 Pnt 1083 1966 Pnt 1164 2054 Pnt 1219 2118 Pnt 1255 2164 Pnt 1275 2195 Pnt 1283 2215 Pnt 1280 2225 Pnt 1269 2227 Pnt 1250 2224 Pnt 1226 2215 Pnt 1196 2202 Pnt 1161 2185 Pnt 1123 2166 Pnt 1081 2143 Pnt 2407 3260 Pnt 1216 2457 Pnt 1081 2186 Pnt 1310 2158 Pnt 1055 1900 Pnt 861 1739 Pnt 1007 1887 Pnt 1111 1996 Pnt 1185 2077 Pnt 1234 2136 Pnt 1266 2177 Pnt 1283 2205 Pnt 1288 2222 Pnt 1283 2230 Pnt 1270 2231 Pnt 1251 2226 Pnt 1225 2216 Pnt 1194 2202 Pnt 1159 2185 Pnt 1994 3004 Pnt 1046 2284 Pnt 1173 2187 Pnt 1213 2069 Pnt 977 1833 Pnt 911 1790 Pnt 1043 1925 Pnt 1138 2025 Pnt 1204 2099 Pnt 1249 2152 Pnt 1276 2190 Pnt 1290 2214 Pnt 1293 2229 Pnt 1286 2235 Pnt 1272 2234 Pnt 1251 2228 Pnt 1224 2217 Pnt 1702 2774 Pnt 902 2134 Pnt 1217 2165 Pnt 1118 1986 Pnt 904 1772 Pnt 957 1837 Pnt 1077 1960 Pnt 1163 2052 Pnt 1223 2120 Pnt 1263 2168 Pnt 1286 2202 Pnt 1297 2223 Pnt 1297 2235 Pnt 1289 2239 Pnt 1273 2237 Pnt 3522 3296 Pnt 1471 2572 Pnt 957 2108 Pnt 1198 2111 Pnt 1031 1909 Pnt 852 1731 Pnt 1002 1881 Pnt 1110 1994 Pnt 1187 2078 Pnt 1241 2139 Pnt 1275 2183 Pnt 1296 2213 Pnt 1304 2232 Pnt 1302 2241 Pnt 2551 3123 Pnt 1283 2397 Pnt 1033 2100 Pnt 1140 2038 Pnt 958 1837 Pnt 917 1784 Pnt 1052 1921 Pnt 1148 2024 Pnt 1211 2101 Pnt 1257 2157 Pnt 1288 2197 Pnt 1304 2223 Pnt 2111 2903 Pnt 1132 2248 Pnt 1071 2074 Pnt 1069 1961 Pnt 889 1770 Pnt 979 1833 Pnt 1099 1958 Pnt 1183 2052 Pnt 1238 2123 Pnt 1273 2175 Pnt 1815 2702 Pnt 1017 2125 Pnt 1069 2030 Pnt 996 1886 Pnt 893 1747 Pnt 1036 1879 Pnt 1143 1992 Pnt 1216 2079 Pnt 4105 3086 Pnt 1593 2526 Pnt 938 2028 Pnt 1036 1971 Pnt 925 1815 Pnt 963 1787 Pnt 1090 1921 Pnt 2804 3012 Pnt 1422 2376 Pnt 916 1969 Pnt 985 1905 Pnt 889 1766 Pnt 2310 2833 Pnt 1294 2253 Pnt 925 1932 Pnt 2004 2662 Pnt 1206 2194 Pnt 1178 2184 Pnt 1144 2169 Pnt 1106 2151 Pnt 1063 2129 Pnt 1016 2105 Pnt 977 2084 Pnt 1042 2125 Pnt 1243 2199 Pnt 1228 2200 Pnt 1205 2195 Pnt 1176 2184 Pnt 1142 2169 Pnt 1103 2150 Pnt 1060 2128 Pnt 1013 2104 Pnt 981 2087 Pnt 1047 2128 Pnt 1251 2180 Pnt 1253 2196 Pnt 1244 2203 Pnt 1228 2203 Pnt 1204 2196 Pnt 1174 2184 Pnt 1139 2169 Pnt 1100 2149 Pnt 1056 2127 Pnt 1009 2102 Pnt 986 2090 Pnt 1051 2131 Pnt 1219 2125 Pnt 1245 2163 Pnt 1256 2188 Pnt 1256 2202 Pnt 1246 2207 Pnt 1228 2205 Pnt 1203 2197 Pnt 1172 2185 Pnt 1137 2168 Pnt 1097 2148 Pnt 1053 2126 Pnt 1006 2101 Pnt 990 2093 Pnt 1056 2133 Pnt 1132 2017 Pnt 1191 2088 Pnt 1230 2138 Pnt 1252 2173 Pnt 1261 2195 Pnt 1258 2207 Pnt 1247 2210 Pnt 1227 2207 Pnt 1202 2198 Pnt 1170 2185 Pnt 1134 2168 Pnt 1094 2147 Pnt 1050 2124 Pnt 1002 2099 Pnt 994 2096 Pnt 1060 2136 Pnt 958 1829 Pnt 1071 1950 Pnt 1151 2040 Pnt 1206 2105 Pnt 1240 2151 Pnt 1259 2182 Pnt 1265 2202 Pnt 1261 2211 Pnt 1247 2213 Pnt 1227 2209 Pnt 1200 2199 Pnt 1168 2185 Pnt 1131 2167 Pnt 1091 2146 Pnt 1046 2123 Pnt 999 2098 Pnt 999 2099 Pnt 1064 2139 Pnt 1104 1925 Pnt 897 1744 Pnt 992 1866 Pnt 1097 1979 Pnt 1170 2062 Pnt 1219 2121 Pnt 1250 2163 Pnt 1265 2191 Pnt 1269 2208 Pnt 1263 2216 Pnt 1248 2216 Pnt 1226 2210 Pnt 1199 2200 Pnt 1166 2185 Pnt 1129 2167 Pnt 1088 2145 Pnt 1043 2122 Pnt 995 2096 Pnt 1003 2102 Pnt 1068 2142 Pnt 1199 2219 Pnt 1299 2121 Pnt 1038 1864 Pnt 889 1762 Pnt 1025 1902 Pnt 1121 2006 Pnt 1188 2082 Pnt 1232 2137 Pnt 1259 2175 Pnt 1272 2200 Pnt 1273 2214 Pnt 1265 2220 Pnt 1249 2219 Pnt 1226 2212 Pnt 1197 2200 Pnt 1164 2185 Pnt 1126 2166 Pnt 1085 2144 Pnt 1040 2121 Pnt 992 2095 Pnt 1007 2105 Pnt 1638 2871 Pnt 864 2183 Pnt 1313 2236 Pnt 1217 2042 Pnt 972 1805 Pnt 931 1807 Pnt 1056 1937 Pnt 1144 2032 Pnt 1204 2102 Pnt 1244 2152 Pnt 1267 2186 Pnt 1277 2208 Pnt 1277 2220 Pnt 1267 2224 Pnt 1249 2221 Pnt 1225 2213 Pnt 1196 2201 Pnt 1162 2185 Pnt 1123 2165 Pnt 1082 2143 Pnt 1037 2119 Pnt 3195 3487 Pnt 1406 2645 Pnt 968 2176 Pnt 1381 2233 Pnt 1132 1966 Pnt 908 1750 Pnt 972 1850 Pnt 1085 1969 Pnt 1166 2056 Pnt 1220 2120 Pnt 1256 2165 Pnt 1276 2196 Pnt 1283 2215 Pnt 1280 2225 Pnt 1268 2228 Pnt 1250 2224 Pnt 1225 2215 Pnt 1194 2201 Pnt 1160 2185 Pnt 1121 2165 Pnt 2388 3249 Pnt 1208 2448 Pnt 1086 2186 Pnt 1305 2152 Pnt 1050 1895 Pnt 865 1744 Pnt 1010 1890 Pnt 1114 1999 Pnt 1186 2079 Pnt 1236 2137 Pnt 1267 2179 Pnt 1283 2206 Pnt 1288 2223 Pnt 1283 2230 Pnt 1270 2231 Pnt 1250 2226 Pnt 1224 2216 Pnt 1193 2202 Pnt 1981 2994 Pnt 1038 2276 Pnt 1177 2186 Pnt 1207 2064 Pnt 972 1829 Pnt 914 1794 Pnt 1046 1928 Pnt 1140 2028 Pnt 1206 2101 Pnt 1250 2154 Pnt 1277 2191 Pnt 1290 2215 Pnt 1293 2229 Pnt 1286 2235 Pnt 1271 2234 Pnt 1250 2228 Pnt 1691 2765 Pnt 896 2127 Pnt 1217 2162 Pnt 1113 1981 Pnt 899 1767 Pnt 961 1841 Pnt 1080 1963 Pnt 1165 2055 Pnt 1224 2122 Pnt 1264 2170 Pnt 1287 2203 Pnt 1297 2224 Pnt 1297 2236 Pnt 1289 2240 Pnt 3462 3293 Pnt 1462 2563 Pnt 962 2107 Pnt 1195 2107 Pnt 1026 1904 Pnt 857 1736 Pnt 1006 1884 Pnt 1113 1997 Pnt 1189 2080 Pnt 1242 2141 Pnt 1276 2184 Pnt 1296 2214 Pnt 1304 2232 Pnt 2531 3115 Pnt 1276 2389 Pnt 1036 2098 Pnt 1136 2034 Pnt 953 1832 Pnt 922 1788 Pnt 1055 1924 Pnt 1150 2026 Pnt 1213 2104 Pnt 1258 2159 Pnt 1288 2198 Pnt 2098 2895 Pnt 1126 2242 Pnt 1072 2072 Pnt 1065 1957 Pnt 885 1766 Pnt 983 1837 Pnt 1102 1961 Pnt 1185 2055 Pnt 1239 2125 Pnt 1805 2694 Pnt 1012 2120 Pnt 1068 2027 Pnt 992 1882 Pnt 898 1748 Pnt 1040 1882 Pnt 1146 1995 Pnt 4015 3091 Pnt 1585 2518 Pnt 935 2024 Pnt 1033 1967 Pnt 921 1811 Pnt 967 1791 Pnt 2780 3005 Pnt 1415 2370 Pnt 917 1967 Pnt 981 1901 Pnt 2297 2826 Pnt 1289 2247 Pnt 1179 2183 Pnt 1145 2169 Pnt 1107 2151 Pnt 1064 2130 Pnt 1018 2106 Pnt 975 2083 Pnt 1041 2124 Pnt 1227 2198 Pnt 1205 2194 Pnt 1177 2183 Pnt 1143 2169 Pnt 1104 2150 Pnt 1061 2128 Pnt 1014 2104 Pnt 980 2086 Pnt 1046 2127 Pnt 1250 2191 Pnt 1243 2200 Pnt 1227 2200 Pnt 1204 2195 Pnt 1175 2184 Pnt 1140 2168 Pnt 1101 2149 Pnt 1057 2127 Pnt 1011 2102 Pnt 984 2089 Pnt 1050 2130 Pnt 1238 2154 Pnt 1251 2181 Pnt 1253 2197 Pnt 1244 2203 Pnt 1227 2203 Pnt 1203 2196 Pnt 1173 2184 Pnt 1138 2168 Pnt 1098 2148 Pnt 1054 2126 Pnt 1007 2101 Pnt 989 2092 Pnt 1055 2133 Pnt 1178 2072 Pnt 1220 2126 Pnt 1245 2164 Pnt 1256 2188 Pnt 1255 2202 Pnt 1245 2207 Pnt 1227 2205 Pnt 1202 2197 Pnt 1171 2184 Pnt 1135 2167 Pnt 1095 2147 Pnt 1051 2125 Pnt 1003 2099 Pnt 993 2095 Pnt 1059 2135 Pnt 1047 1923 Pnt 1134 2019 Pnt 1193 2090 Pnt 1231 2140 Pnt 1252 2174 Pnt 1261 2196 Pnt 1258 2207 Pnt 1246 2210 Pnt 1226 2207 Pnt 1200 2198 Pnt 1169 2184 Pnt 1132 2167 Pnt 1092 2146 Pnt 1047 2123 Pnt 1000 2098 Pnt 997 2098 Pnt 1063 2138 Pnt 946 1765 Pnt 961 1832 Pnt 1074 1953 Pnt 1153 2042 Pnt 1207 2107 Pnt 1241 2153 Pnt 1259 2183 Pnt 1265 2202 Pnt 1260 2212 Pnt 1247 2213 Pnt 1226 2209 Pnt 1199 2199 Pnt 1167 2184 Pnt 1130 2166 Pnt 1089 2146 Pnt 1044 2122 Pnt 997 2096 Pnt 1002 2101 Pnt 1068 2141 Pnt 1350 2183 Pnt 1099 1920 Pnt 893 1744 Pnt 995 1870 Pnt 1099 1982 Pnt 1171 2064 Pnt 1220 2123 Pnt 1250 2165 Pnt 1266 2192 Pnt 1269 2209 Pnt 1262 2216 Pnt 1248 2216 Pnt 1226 2210 Pnt 1198 2199 Pnt 1165 2184 Pnt 1127 2166 Pnt 1086 2145 Pnt 1041 2121 Pnt 993 2095 Pnt 1006 2104 Pnt 1072 2144 Pnt 1016 2344 Pnt 1205 2219 Pnt 1294 2116 Pnt 1033 1859 Pnt 893 1766 Pnt 1027 1906 Pnt 1123 2009 Pnt 1189 2084 Pnt 1233 2138 Pnt 1259 2176 Pnt 1272 2201 Pnt 1273 2215 Pnt 1264 2220 Pnt 1248 2219 Pnt 1225 2212 Pnt 1196 2200 Pnt 1162 2184 Pnt 1124 2165 Pnt 1083 2144 Pnt 1038 2119 Pnt 990 2093 Pnt 1628 2860 Pnt 857 2175 Pnt 1319 2236 Pnt 1211 2037 Pnt 967 1801 Pnt 935 1811 Pnt 1058 1940 Pnt 1146 2034 Pnt 1206 2104 Pnt 1245 2153 Pnt 1268 2187 Pnt 1278 2209 Pnt 1276 2220 Pnt 1266 2224 Pnt 1248 2221 Pnt 1224 2213 Pnt 1195 2200 Pnt 1160 2184 Pnt 1122 2165 Pnt 1080 2142 Pnt 3148 3480 Pnt 1396 2636 Pnt 974 2176 Pnt 1380 2230 Pnt 1126 1961 Pnt 904 1746 Pnt 975 1854 Pnt 1088 1972 Pnt 1167 2059 Pnt 1222 2122 Pnt 1257 2167 Pnt 1276 2197 Pnt 1283 2216 Pnt 1280 2226 Pnt 1268 2228 Pnt 1249 2224 Pnt 1224 2214 Pnt 1193 2201 Pnt 1158 2184 Pnt 2370 3239 Pnt 1200 2439 Pnt 1092 2186 Pnt 1299 2146 Pnt 1045 1890 Pnt 869 1748 Pnt 1013 1894 Pnt 1116 2002 Pnt 1188 2081 Pnt 1237 2139 Pnt 1268 2180 Pnt 1284 2207 Pnt 1288 2223 Pnt 1283 2231 Pnt 1269 2231 Pnt 1249 2226 Pnt 1223 2215 Pnt 1969 2984 Pnt 1031 2268 Pnt 1180 2185 Pnt 1201 2058 Pnt 967 1824 Pnt 918 1798 Pnt 1049 1931 Pnt 1142 2030 Pnt 1208 2103 Pnt 1251 2156 Pnt 1278 2192 Pnt 1291 2216 Pnt 1293 2230 Pnt 1286 2235 Pnt 1271 2234 Pnt 1681 2755 Pnt 890 2120 Pnt 1218 2160 Pnt 1107 1976 Pnt 894 1763 Pnt 964 1845 Pnt 1083 1966 Pnt 1167 2057 Pnt 1226 2123 Pnt 1265 2171 Pnt 1287 2204 Pnt 1298 2225 Pnt 1297 2236 Pnt 3405 3290 Pnt 1454 2555 Pnt 966 2107 Pnt 1193 2103 Pnt 1022 1899 Pnt 861 1740 Pnt 1010 1888 Pnt 1116 1999 Pnt 1191 2082 Pnt 1243 2143 Pnt 1277 2186 Pnt 1297 2215 Pnt 2511 3106 Pnt 1269 2382 Pnt 1039 2097 Pnt 1132 2029 Pnt 948 1828 Pnt 926 1792 Pnt 1059 1927 Pnt 1153 2029 Pnt 1215 2106 Pnt 1260 2161 Pnt 2085 2886 Pnt 1120 2235 Pnt 1073 2070 Pnt 1060 1952 Pnt 881 1761 Pnt 987 1841 Pnt 1105 1964 Pnt 1188 2057 Pnt 1795 2685 Pnt 1008 2114 Pnt 1067 2023 Pnt 987 1877 Pnt 902 1749 Pnt 1044 1886 Pnt 3932 3094 Pnt 1577 2511 Pnt 932 2019 Pnt 1031 1964 Pnt 917 1806 Pnt 2757 2998 Pnt 1409 2363 Pnt 918 1965 Pnt 2283 2818 Pnt 1147 2169 Pnt 1108 2151 Pnt 1066 2130 Pnt 1019 2106 Pnt 974 2082 Pnt 1040 2123 Pnt 1205 2192 Pnt 1178 2183 Pnt 1144 2168 Pnt 1105 2150 Pnt 1062 2129 Pnt 1015 2104 Pnt 979 2085 Pnt 1045 2126 Pnt 1241 2196 Pnt 1227 2198 Pnt 1204 2193 Pnt 1176 2183 Pnt 1141 2168 Pnt 1102 2149 Pnt 1059 2127 Pnt 1012 2103 Pnt 983 2088 Pnt 1049 2129 Pnt 1246 2174 Pnt 1250 2192 Pnt 1242 2200 Pnt 1226 2200 Pnt 1203 2195 Pnt 1174 2183 Pnt 1139 2168 Pnt 1099 2148 Pnt 1055 2126 Pnt 1008 2101 Pnt 988 2091 Pnt 1054 2132 Pnt 1211 2114 Pnt 1238 2155 Pnt 1252 2182 Pnt 1253 2197 Pnt 1244 2204 Pnt 1226 2203 Pnt 1202 2196 Pnt 1171 2183 Pnt 1136 2167 Pnt 1096 2147 Pnt 1052 2125 Pnt 1005 2100 Pnt 992 2094 Pnt 1058 2135 Pnt 1115 1998 Pnt 1179 2074 Pnt 1221 2128 Pnt 1246 2165 Pnt 1256 2189 Pnt 1255 2203 Pnt 1245 2207 Pnt 1226 2205 Pnt 1201 2197 Pnt 1169 2184 Pnt 1133 2167 Pnt 1093 2147 Pnt 1049 2124 Pnt 1001 2098 Pnt 996 2097 Pnt 1062 2138 Pnt 929 1796 Pnt 1050 1926 Pnt 1135 2022 Pnt 1194 2092 Pnt 1232 2141 Pnt 1253 2175 Pnt 1261 2196 Pnt 1258 2207 Pnt 1245 2210 Pnt 1226 2207 Pnt 1199 2197 Pnt 1167 2184 Pnt 1131 2166 Pnt 1090 2146 Pnt 1045 2122 Pnt 998 2097 Pnt 1001 2100 Pnt 1067 2140 Pnt 1158 1978 Pnt 942 1761 Pnt 964 1836 Pnt 1076 1956 Pnt 1155 2044 Pnt 1208 2109 Pnt 1242 2154 Pnt 1260 2184 Pnt 1265 2203 Pnt 1260 2212 Pnt 1246 2213 Pnt 1225 2208 Pnt 1198 2198 Pnt 1165 2184 Pnt 1128 2166 Pnt 1087 2145 Pnt 1042 2121 Pnt 994 2095 Pnt 1005 2103 Pnt 1071 2143 Pnt 1085 2203 Pnt 1348 2179 Pnt 1095 1916 Pnt 889 1744 Pnt 998 1873 Pnt 1101 1984 Pnt 1173 2066 Pnt 1221 2125 Pnt 1251 2166 Pnt 1266 2193 Pnt 1269 2209 Pnt 1262 2216 Pnt 1247 2216 Pnt 1225 2210 Pnt 1196 2199 Pnt 1163 2184 Pnt 1125 2165 Pnt 1084 2144 Pnt 1039 2120 Pnt 991 2094 Pnt 1009 2106 Pnt 1898 3104 Pnt 1008 2335 Pnt 1212 2220 Pnt 1289 2110 Pnt 1029 1855 Pnt 896 1770 Pnt 1030 1909 Pnt 1125 2011 Pnt 1191 2086 Pnt 1234 2140 Pnt 1260 2177 Pnt 1272 2202 Pnt 1273 2215 Pnt 1264 2220 Pnt 1247 2219 Pnt 1224 2211 Pnt 1195 2199 Pnt 1161 2184 Pnt 1123 2164 Pnt 1081 2143 Pnt 1035 2118 Pnt 1618 2850 Pnt 849 2166 Pnt 1325 2237 Pnt 1206 2032 Pnt 963 1796 Pnt 938 1815 Pnt 1061 1943 Pnt 1148 2037 Pnt 1207 2106 Pnt 1246 2155 Pnt 1269 2188 Pnt 1278 2209 Pnt 1276 2221 Pnt 1266 2224 Pnt 1248 2221 Pnt 1223 2213 Pnt 1193 2200 Pnt 1159 2183 Pnt 1120 2164 Pnt 3103 3473 Pnt 1387 2626 Pnt 981 2177 Pnt 1378 2226 Pnt 1121 1956 Pnt 899 1744 Pnt 978 1857 Pnt 1090 1974 Pnt 1169 2061 Pnt 1223 2124 Pnt 1258 2168 Pnt 1277 2198 Pnt 1283 2217 Pnt 1279 2226 Pnt 1267 2228 Pnt 1248 2223 Pnt 1223 2214 Pnt 1192 2200 Pnt 2351 3228 Pnt 1191 2430 Pnt 1097 2186 Pnt 1293 2141 Pnt 1039 1885 Pnt 873 1752 Pnt 1016 1897 Pnt 1118 2004 Pnt 1190 2084 Pnt 1238 2141 Pnt 1268 2181 Pnt 1284 2208 Pnt 1288 2224 Pnt 1283 2231 Pnt 1269 2231 Pnt 1248 2226 Pnt 1956 2974 Pnt 1024 2260 Pnt 1184 2184 Pnt 1195 2052 Pnt 962 1819 Pnt 921 1802 Pnt 1052 1934 Pnt 1145 2033 Pnt 1209 2105 Pnt 1252 2157 Pnt 1279 2193 Pnt 1291 2217 Pnt 1293 2230 Pnt 1285 2236 Pnt 1671 2746 Pnt 884 2113 Pnt 1218 2157 Pnt 1102 1970 Pnt 889 1759 Pnt 967 1848 Pnt 1085 1969 Pnt 1169 2059 Pnt 1227 2125 Pnt 1266 2173 Pnt 1288 2205 Pnt 1298 2226 Pnt 3352 3286 Pnt 1445 2546 Pnt 970 2106 Pnt 1190 2098 Pnt 1017 1894 Pnt 866 1744 Pnt 1013 1891 Pnt 1118 2002 Pnt 1193 2085 Pnt 1245 2144 Pnt 1278 2187 Pnt 2491 3097 Pnt 1261 2374 Pnt 1042 2096 Pnt 1128 2024 Pnt 944 1823 Pnt 930 1796 Pnt 1062 1930 Pnt 1155 2032 Pnt 1217 2108 Pnt 2072 2877 Pnt 1115 2228 Pnt 1074 2067 Pnt 1056 1947 Pnt 877 1757 Pnt 990 1844 Pnt 1108 1967 Pnt 1785 2677 Pnt 1003 2108 Pnt 1066 2020 Pnt 983 1872 Pnt 907 1750 Pnt 3854 3096 Pnt 1569 2504 Pnt 929 2015 Pnt 1028 1960 Pnt 2735 2992 Pnt 1403 2357 Pnt 1110 2151 Pnt 1067 2130 Pnt 1020 2106 Pnt 973 2081 Pnt 1039 2122 Pnt 1178 2182 Pnt 1145 2168 Pnt 1106 2150 Pnt 1064 2129 Pnt 1017 2105 Pnt 977 2084 Pnt 1044 2125 Pnt 1226 2196 Pnt 1205 2192 Pnt 1176 2182 Pnt 1142 2168 Pnt 1103 2149 Pnt 1060 2128 Pnt 1013 2103 Pnt 982 2087 Pnt 1048 2128 Pnt 1247 2187 Pnt 1241 2197 Pnt 1226 2198 Pnt 1203 2193 Pnt 1174 2183 Pnt 1140 2167 Pnt 1100 2148 Pnt 1057 2126 Pnt 1009 2102 Pnt 986 2090 Pnt 1053 2131 Pnt 1231 2145 Pnt 1247 2175 Pnt 1250 2192 Pnt 1242 2200 Pnt 1226 2201 Pnt 1202 2194 Pnt 1172 2183 Pnt 1137 2167 Pnt 1097 2148 Pnt 1053 2125 Pnt 1006 2100 Pnt 991 2093 Pnt 1057 2134 Pnt 1166 2057 Pnt 1212 2116 Pnt 1239 2156 Pnt 1252 2183 Pnt 1252 2198 Pnt 1243 2204 Pnt 1225 2203 Pnt 1201 2195 Pnt 1170 2183 Pnt 1134 2166 Pnt 1094 2147 Pnt 1050 2124 Pnt 1002 2099 Pnt 995 2096 Pnt 1062 2137 Pnt 1025 1898 Pnt 1117 2001 Pnt 1181 2076 Pnt 1222 2130 Pnt 1246 2166 Pnt 1256 2190 Pnt 1255 2203 Pnt 1244 2207 Pnt 1225 2205 Pnt 1199 2196 Pnt 1168 2183 Pnt 1132 2166 Pnt 1091 2146 Pnt 1046 2122 Pnt 999 2097 Pnt 1000 2099 Pnt 1066 2140 Pnt 991 1807 Pnt 932 1800 Pnt 1052 1929 Pnt 1137 2024 Pnt 1195 2094 Pnt 1233 2143 Pnt 1253 2176 Pnt 1261 2197 Pnt 1257 2208 Pnt 1245 2210 Pnt 1225 2206 Pnt 1198 2197 Pnt 1166 2183 Pnt 1129 2165 Pnt 1088 2145 Pnt 1043 2121 Pnt 995 2095 Pnt 1004 2102 Pnt 1070 2142 Pnt 1323 2202 Pnt 1154 1973 Pnt 938 1757 Pnt 967 1839 Pnt 1078 1959 Pnt 1156 2047 Pnt 1209 2110 Pnt 1243 2155 Pnt 1260 2185 Pnt 1265 2204 Pnt 1260 2212 Pnt 1246 2213 Pnt 1224 2208 Pnt 1197 2198 Pnt 1164 2183 Pnt 1126 2165 Pnt 1085 2144 Pnt 1040 2120 Pnt 992 2094 Pnt 1008 2105 Pnt 1074 2145 Pnt 1177 2515 Pnt 1093 2203 Pnt 1346 2176 Pnt 1090 1911 Pnt 885 1744 Pnt 1000 1877 Pnt 1103 1987 Pnt 1175 2068 Pnt 1223 2127 Pnt 1252 2167 Pnt 1266 2194 Pnt 1269 2210 Pnt 1262 2217 Pnt 1246 2216 Pnt 1224 2210 Pnt 1195 2198 Pnt 1162 2183 Pnt 1124 2164 Pnt 1082 2143 Pnt 1037 2119 Pnt 988 2092 Pnt 1886 3093 Pnt 1000 2326 Pnt 1219 2220 Pnt 1284 2105 Pnt 1024 1850 Pnt 899 1774 Pnt 1033 1912 Pnt 1127 2014 Pnt 1192 2088 Pnt 1235 2142 Pnt 1261 2179 Pnt 1272 2202 Pnt 1273 2216 Pnt 1264 2221 Pnt 1247 2219 Pnt 1223 2211 Pnt 1194 2199 Pnt 1159 2183 Pnt 1121 2164 Pnt 1079 2142 Pnt 1607 2839 Pnt 854 2165 Pnt 1331 2237 Pnt 1200 2026 Pnt 958 1792 Pnt 941 1819 Pnt 1063 1946 Pnt 1150 2039 Pnt 1209 2107 Pnt 1247 2156 Pnt 1269 2189 Pnt 1278 2210 Pnt 1276 2221 Pnt 1265 2224 Pnt 1247 2221 Pnt 1222 2212 Pnt 1192 2199 Pnt 1157 2183 Pnt 3060 3466 Pnt 1378 2616 Pnt 987 2177 Pnt 1376 2222 Pnt 1115 1951 Pnt 895 1744 Pnt 981 1861 Pnt 1093 1977 Pnt 1171 2063 Pnt 1224 2126 Pnt 1258 2170 Pnt 1277 2199 Pnt 1283 2217 Pnt 1279 2226 Pnt 1267 2228 Pnt 1247 2223 Pnt 1221 2214 Pnt 2333 3218 Pnt 1183 2422 Pnt 1103 2186 Pnt 1287 2135 Pnt 1034 1880 Pnt 876 1756 Pnt 1019 1900 Pnt 1120 2007 Pnt 1192 2086 Pnt 1239 2143 Pnt 1269 2182 Pnt 1284 2209 Pnt 1288 2224 Pnt 1282 2231 Pnt 1268 2231 Pnt 1943 2964 Pnt 1017 2252 Pnt 1187 2183 Pnt 1190 2047 Pnt 957 1815 Pnt 925 1805 Pnt 1054 1937 Pnt 1147 2035 Pnt 1211 2107 Pnt 1253 2159 Pnt 1279 2195 Pnt 1292 2218 Pnt 1293 2231 Pnt 1661 2737 Pnt 878 2106 Pnt 1218 2154 Pnt 1096 1965 Pnt 885 1754 Pnt 971 1852 Pnt 1088 1972 Pnt 1171 2062 Pnt 1229 2127 Pnt 1267 2174 Pnt 1289 2206 Pnt 3301 3281 Pnt 1436 2538 Pnt 975 2105 Pnt 1187 2094 Pnt 1012 1889 Pnt 870 1748 Pnt 1017 1895 Pnt 1121 2005 Pnt 1194 2087 Pnt 1246 2146 Pnt 2472 3088 Pnt 1254 2367 Pnt 1044 2094 Pnt 1124 2019 Pnt 939 1818 Pnt 934 1800 Pnt 1065 1933 Pnt 1158 2034 Pnt 2060 2868 Pnt 1109 2222 Pnt 1074 2065 Pnt 1052 1942 Pnt 872 1752 Pnt 994 1848 Pnt 1776 2669 Pnt 999 2103 Pnt 1064 2017 Pnt 979 1868 Pnt 3782 3098 Pnt 1561 2497 Pnt 927 2011 Pnt 1068 2130 Pnt 1022 2107 Pnt 972 2080 Pnt 1038 2121 Pnt 1146 2168 Pnt 1108 2150 Pnt 1065 2129 Pnt 1018 2105 Pnt 976 2083 Pnt 1043 2124 Pnt 1205 2190 Pnt 1177 2181 Pnt 1143 2167 Pnt 1105 2149 Pnt 1061 2128 Pnt 1014 2103 Pnt 981 2086 Pnt 1047 2127 Pnt 1239 2193 Pnt 1225 2196 Pnt 1203 2192 Pnt 1175 2182 Pnt 1141 2167 Pnt 1101 2148 Pnt 1058 2127 Pnt 1011 2102 Pnt 985 2089 Pnt 1052 2130 Pnt 1242 2168 Pnt 1247 2187 Pnt 1240 2197 Pnt 1225 2198 Pnt 1202 2193 Pnt 1173 2182 Pnt 1138 2167 Pnt 1098 2148 Pnt 1054 2125 Pnt 1007 2100 Pnt 990 2092 Pnt 1056 2133 Pnt 1201 2103 Pnt 1232 2147 Pnt 1247 2176 Pnt 1250 2193 Pnt 1242 2201 Pnt 1225 2200 Pnt 1201 2194 Pnt 1171 2182 Pnt 1135 2166 Pnt 1095 2147 Pnt 1051 2124 Pnt 1003 2099 Pnt 994 2095 Pnt 1061 2136 Pnt 1099 1978 Pnt 1167 2059 Pnt 1213 2117 Pnt 1240 2157 Pnt 1252 2184 Pnt 1252 2198 Pnt 1243 2204 Pnt 1225 2203 Pnt 1200 2195 Pnt 1169 2182 Pnt 1133 2166 Pnt 1092 2146 Pnt 1048 2123 Pnt 1000 2097 Pnt 998 2098 Pnt 1065 2139 Pnt 900 1762 Pnt 1028 1901 Pnt 1119 2003 Pnt 1182 2078 Pnt 1223 2131 Pnt 1247 2168 Pnt 1257 2191 Pnt 1255 2203 Pnt 1244 2207 Pnt 1224 2205 Pnt 1198 2196 Pnt 1167 2183 Pnt 1130 2165 Pnt 1089 2145 Pnt 1044 2121 Pnt 996 2096 Pnt 1003 2101 Pnt 1069 2142 Pnt 1204 2029 Pnt 987 1803 Pnt 935 1803 Pnt 1055 1932 Pnt 1139 2027 Pnt 1197 2096 Pnt 1234 2144 Pnt 1254 2177 Pnt 1261 2198 Pnt 1257 2208 Pnt 1244 2211 Pnt 1224 2206 Pnt 1197 2197 Pnt 1164 2183 Pnt 1127 2165 Pnt 1086 2144 Pnt 1041 2120 Pnt 993 2094 Pnt 1007 2104 Pnt 1074 2145 Pnt 962 2190 Pnt 1327 2201 Pnt 1150 1968 Pnt 934 1753 Pnt 970 1843 Pnt 1081 1962 Pnt 1158 2049 Pnt 1211 2112 Pnt 1243 2157 Pnt 1261 2186 Pnt 1265 2204 Pnt 1259 2213 Pnt 1245 2213 Pnt 1223 2208 Pnt 1195 2197 Pnt 1162 2182 Pnt 1124 2164 Pnt 1083 2143 Pnt 1038 2119 Pnt 989 2093 Pnt 1011 2107 Pnt 2242 3367 Pnt 1168 2505 Pnt 1100 2203 Pnt 1344 2172 Pnt 1086 1906 Pnt 881 1743 Pnt 1003 1880 Pnt 1105 1990 Pnt 1176 2070 Pnt 1224 2128 Pnt 1253 2169 Pnt 1267 2195 Pnt 1269 2210 Pnt 1261 2217 Pnt 1245 2216 Pnt 1223 2209 Pnt 1194 2198 Pnt 1160 2182 Pnt 1122 2163 Pnt 1080 2142 Pnt 1034 2117 Pnt 1874 3082 Pnt 992 2316 Pnt 1226 2221 Pnt 1279 2099 Pnt 1019 1845 Pnt 903 1778 Pnt 1035 1915 Pnt 1129 2016 Pnt 1194 2090 Pnt 1236 2143 Pnt 1261 2180 Pnt 1273 2203 Pnt 1273 2216 Pnt 1263 2221 Pnt 1246 2219 Pnt 1222 2211 Pnt 1192 2198 Pnt 1158 2182 Pnt 1119 2163 Pnt 1597 2829 Pnt 861 2165 Pnt 1337 2238 Pnt 1195 2021 Pnt 954 1787 Pnt 945 1822 Pnt 1066 1949 Pnt 1152 2042 Pnt 1210 2109 Pnt 1248 2157 Pnt 1270 2190 Pnt 1278 2211 Pnt 1276 2222 Pnt 1265 2225 Pnt 1246 2221 Pnt 1221 2212 Pnt 1191 2199 Pnt 3020 3458 Pnt 1369 2607 Pnt 994 2177 Pnt 1372 2217 Pnt 1110 1945 Pnt 890 1743 Pnt 984 1864 Pnt 1095 1980 Pnt 1173 2065 Pnt 1226 2127 Pnt 1259 2171 Pnt 1277 2200 Pnt 1283 2218 Pnt 1279 2227 Pnt 1266 2228 Pnt 1246 2223 Pnt 2316 3207 Pnt 1175 2413 Pnt 1108 2185 Pnt 1282 2129 Pnt 1029 1875 Pnt 880 1760 Pnt 1022 1904 Pnt 1123 2010 Pnt 1193 2088 Pnt 1241 2144 Pnt 1270 2184 Pnt 1285 2210 Pnt 1288 2225 Pnt 1282 2232 Pnt 1931 2954 Pnt 1010 2244 Pnt 1191 2182 Pnt 1184 2041 Pnt 952 1810 Pnt 928 1809 Pnt 1057 1941 Pnt 1149 2038 Pnt 1212 2109 Pnt 1255 2160 Pnt 1280 2196 Pnt 1292 2219 Pnt 1651 2727 Pnt 879 2103 Pnt 1217 2151 Pnt 1091 1960 Pnt 880 1750 Pnt 974 1855 Pnt 1090 1975 Pnt 1173 2064 Pnt 1230 2129 Pnt 1268 2175 Pnt 3253 3276 Pnt 1428 2530 Pnt 979 2105 Pnt 1184 2090 Pnt 1007 1884 Pnt 875 1752 Pnt 1020 1898 Pnt 1124 2008 Pnt 1196 2089 Pnt 2453 3079 Pnt 1247 2359 Pnt 1047 2093 Pnt 1120 2014 Pnt 935 1813 Pnt 938 1804 Pnt 1069 1936 Pnt 2047 2859 Pnt 1103 2215 Pnt 1075 2062 Pnt 1047 1937 Pnt 868 1748 Pnt 1766 2661 Pnt 995 2097 Pnt 1063 2013 Pnt 1023 2107 Pnt 973 2080 Pnt 1037 2120 Pnt 1109 2150 Pnt 1066 2129 Pnt 1019 2105 Pnt 975 2082 Pnt 1042 2123 Pnt 1178 2181 Pnt 1145 2167 Pnt 1106 2149 Pnt 1063 2128 Pnt 1016 2104 Pnt 979 2085 Pnt 1046 2126 Pnt 1225 2193 Pnt 1204 2190 Pnt 1176 2181 Pnt 1142 2167 Pnt 1103 2149 Pnt 1059 2127 Pnt 1012 2102 Pnt 984 2088 Pnt 1051 2129 Pnt 1243 2182 Pnt 1239 2193 Pnt 1225 2196 Pnt 1202 2191 Pnt 1174 2181 Pnt 1139 2166 Pnt 1100 2148 Pnt 1056 2126 Pnt 1008 2101 Pnt 988 2091 Pnt 1055 2132 Pnt 1225 2137 Pnt 1242 2169 Pnt 1247 2188 Pnt 1240 2197 Pnt 1224 2198 Pnt 1201 2193 Pnt 1172 2182 Pnt 1136 2166 Pnt 1096 2147 Pnt 1052 2124 Pnt 1005 2099 Pnt 993 2095 Pnt 1060 2135 Pnt 1153 2042 Pnt 1203 2104 Pnt 1233 2148 Pnt 1247 2177 Pnt 1249 2194 Pnt 1241 2201 Pnt 1224 2200 Pnt 1200 2194 Pnt 1169 2182 Pnt 1134 2166 Pnt 1093 2146 Pnt 1049 2123 Pnt 1001 2098 Pnt 997 2098 Pnt 1064 2138 Pnt 1003 1871 Pnt 1101 1981 Pnt 1169 2061 Pnt 1214 2119 Pnt 1240 2159 Pnt 1252 2184 Pnt 1252 2199 Pnt 1242 2204 Pnt 1224 2203 Pnt 1199 2195 Pnt 1167 2182 Pnt 1131 2165 Pnt 1090 2145 Pnt 1045 2122 Pnt 997 2096 Pnt 1002 2101 Pnt 1068 2141 Pnt 1034 1849 Pnt 903 1766 Pnt 1030 1904 Pnt 1121 2006 Pnt 1184 2080 Pnt 1224 2133 Pnt 1248 2169 Pnt 1257 2192 Pnt 1255 2204 Pnt 1243 2208 Pnt 1223 2204 Pnt 1197 2196 Pnt 1165 2182 Pnt 1128 2164 Pnt 1087 2144 Pnt 1042 2120 Pnt 994 2094 Pnt 1006 2103 Pnt 1073 2144 Pnt 1246 2196 Pnt 1201 2024 Pnt 983 1798 Pnt 938 1807 Pnt 1057 1935 Pnt 1141 2029 Pnt 1198 2097 Pnt 1235 2146 Pnt 1254 2178 Pnt 1261 2198 Pnt 1257 2209 Pnt 1244 2211 Pnt 1223 2206 Pnt 1196 2196 Pnt 1163 2182 Pnt 1125 2164 Pnt 1084 2143 Pnt 1039 2119 Pnt 990 2093 Pnt 1010 2106 Pnt 1077 2147 Pnt 1357 2709 Pnt 970 2190 Pnt 1331 2200 Pnt 1145 1964 Pnt 930 1751 Pnt 973 1846 Pnt 1083 1965 Pnt 1160 2051 Pnt 1212 2114 Pnt 1244 2158 Pnt 1261 2187 Pnt 1265 2205 Pnt 1259 2213 Pnt 1244 2213 Pnt 1222 2208 Pnt 1194 2197 Pnt 1161 2182 Pnt 1123 2163 Pnt 1081 2142 Pnt 1035 2118 Pnt 987 2091 Pnt 2226 3355 Pnt 1160 2495 Pnt 1107 2204 Pnt 1342 2167 Pnt 1081 1901 Pnt 877 1743 Pnt 1006 1883 Pnt 1108 1993 Pnt 1178 2072 Pnt 1225 2130 Pnt 1253 2170 Pnt 1267 2196 Pnt 1269 2211 Pnt 1261 2217 Pnt 1245 2216 Pnt 1222 2209 Pnt 1193 2197 Pnt 1158 2182 Pnt 1120 2163 Pnt 1078 2141 Pnt 1861 3070 Pnt 984 2307 Pnt 1232 2221 Pnt 1274 2094 Pnt 1015 1841 Pnt 906 1782 Pnt 1038 1918 Pnt 1131 2019 Pnt 1195 2092 Pnt 1237 2145 Pnt 1262 2181 Pnt 1273 2204 Pnt 1272 2217 Pnt 1263 2221 Pnt 1245 2219 Pnt 1221 2211 Pnt 1191 2198 Pnt 1156 2181 Pnt 1587 2818 Pnt 868 2165 Pnt 1343 2238 Pnt 1189 2015 Pnt 949 1783 Pnt 948 1826 Pnt 1069 1952 Pnt 1154 2044 Pnt 1212 2111 Pnt 1249 2159 Pnt 1270 2191 Pnt 1278 2212 Pnt 1276 2222 Pnt 1264 2225 Pnt 1245 2221 Pnt 1220 2212 Pnt 2981 3450 Pnt 1360 2597 Pnt 1000 2177 Pnt 1369 2213 Pnt 1105 1940 Pnt 886 1743 Pnt 987 1868 Pnt 1098 1983 Pnt 1175 2068 Pnt 1227 2129 Pnt 1260 2172 Pnt 1278 2201 Pnt 1283 2219 Pnt 1279 2227 Pnt 1266 2228 Pnt 2298 3197 Pnt 1167 2404 Pnt 1114 2185 Pnt 1276 2123 Pnt 1024 1870 Pnt 884 1764 Pnt 1025 1907 Pnt 1125 2013 Pnt 1195 2090 Pnt 1242 2146 Pnt 1271 2185 Pnt 1285 2211 Pnt 1288 2226 Pnt 1919 2944 Pnt 1002 2236 Pnt 1194 2181 Pnt 1178 2036 Pnt 947 1806 Pnt 932 1813 Pnt 1060 1944 Pnt 1151 2040 Pnt 1214 2111 Pnt 1256 2162 Pnt 1281 2197 Pnt 1641 2718 Pnt 884 2103 Pnt 1217 2148 Pnt 1085 1955 Pnt 875 1746 Pnt 977 1859 Pnt 1093 1978 Pnt 1175 2067 Pnt 1232 2131 Pnt 3207 3271 Pnt 1419 2521 Pnt 984 2104 Pnt 1181 2085 Pnt 1002 1879 Pnt 879 1756 Pnt 1024 1901 Pnt 1127 2010 Pnt 2434 3070 Pnt 1240 2352 Pnt 1050 2091 Pnt 1116 2010 Pnt 930 1809 Pnt 943 1807 Pnt 2035 2851 Pnt 1097 2209 Pnt 1075 2060 Pnt 1043 1932 Pnt 974 2081 Pnt 1036 2120 Pnt 1068 2130 Pnt 1021 2106 Pnt 973 2081 Pnt 1041 2123 Pnt 1146 2167 Pnt 1107 2149 Pnt 1064 2128 Pnt 1017 2104 Pnt 978 2084 Pnt 1045 2126 Pnt 1204 2189 Pnt 1176 2180 Pnt 1143 2167 Pnt 1104 2149 Pnt 1061 2127 Pnt 1013 2103 Pnt 983 2087 Pnt 1050 2129 Pnt 1237 2190 Pnt 1224 2193 Pnt 1203 2190 Pnt 1174 2181 Pnt 1140 2166 Pnt 1101 2148 Pnt 1057 2126 Pnt 1010 2101 Pnt 987 2090 Pnt 1054 2132 Pnt 1237 2161 Pnt 1243 2183 Pnt 1238 2194 Pnt 1224 2196 Pnt 1201 2191 Pnt 1172 2181 Pnt 1137 2166 Pnt 1098 2147 Pnt 1054 2124 Pnt 1006 2099 Pnt 992 2094 Pnt 1059 2135 Pnt 1192 2091 Pnt 1225 2138 Pnt 1243 2170 Pnt 1246 2189 Pnt 1240 2198 Pnt 1224 2198 Pnt 1200 2192 Pnt 1170 2181 Pnt 1135 2165 Pnt 1094 2146 Pnt 1050 2123 Pnt 1002 2098 Pnt 996 2097 Pnt 1063 2138 Pnt 1082 1958 Pnt 1155 2044 Pnt 1204 2106 Pnt 1233 2149 Pnt 1248 2178 Pnt 1249 2194 Pnt 1241 2201 Pnt 1223 2200 Pnt 1199 2193 Pnt 1168 2181 Pnt 1132 2165 Pnt 1091 2145 Pnt 1047 2122 Pnt 999 2096 Pnt 1001 2100 Pnt 1068 2140 Pnt 894 1741 Pnt 1005 1875 Pnt 1103 1984 Pnt 1170 2063 Pnt 1215 2121 Pnt 1241 2160 Pnt 1252 2185 Pnt 1252 2199 Pnt 1242 2205 Pnt 1223 2202 Pnt 1197 2194 Pnt 1166 2181 Pnt 1129 2164 Pnt 1088 2144 Pnt 1043 2121 Pnt 995 2095 Pnt 1005 2103 Pnt 1072 2143 Pnt 1234 2073 Pnt 1030 1845 Pnt 906 1770 Pnt 1033 1907 Pnt 1123 2008 Pnt 1185 2082 Pnt 1225 2134 Pnt 1248 2170 Pnt 1257 2192 Pnt 1254 2204 Pnt 1242 2208 Pnt 1223 2204 Pnt 1196 2195 Pnt 1164 2181 Pnt 1126 2164 Pnt 1085 2143 Pnt 1040 2119 Pnt 991 2093 Pnt 1009 2106 Pnt 1076 2146 Pnt 894 2219 Pnt 1252 2196 Pnt 1198 2020 Pnt 979 1794 Pnt 941 1811 Pnt 1059 1938 Pnt 1143 2032 Pnt 1199 2099 Pnt 1235 2147 Pnt 1255 2179 Pnt 1261 2199 Pnt 1257 2209 Pnt 1243 2211 Pnt 1222 2206 Pnt 1194 2196 Pnt 1161 2181 Pnt 1124 2163 Pnt 1082 2142 Pnt 1036 2118 Pnt 988 2092 Pnt 1014 2108 Pnt 2828 3641 Pnt 1348 2698 Pnt 977 2190 Pnt 1334 2199 Pnt 1141 1959 Pnt 926 1750 Pnt 975 1850 Pnt 1085 1967 Pnt 1162 2054 Pnt 1213 2116 Pnt 1245 2159 Pnt 1261 2188 Pnt 1265 2205 Pnt 1259 2213 Pnt 1244 2214 Pnt 1221 2208 Pnt 1193 2196 Pnt 1159 2181 Pnt 1121 2162 Pnt 1079 2141 Pnt 1033 2116 Pnt 2209 3343 Pnt 1151 2486 Pnt 1114 2204 Pnt 1339 2163 Pnt 1076 1897 Pnt 873 1743 Pnt 1009 1887 Pnt 1110 1995 Pnt 1180 2075 Pnt 1226 2132 Pnt 1254 2171 Pnt 1267 2197 Pnt 1269 2211 Pnt 1261 2217 Pnt 1244 2216 Pnt 1221 2209 Pnt 1191 2197 Pnt 1157 2181 Pnt 1118 2162 Pnt 1849 3059 Pnt 976 2298 Pnt 1239 2222 Pnt 1268 2088 Pnt 1010 1836 Pnt 910 1786 Pnt 1041 1922 Pnt 1133 2022 Pnt 1197 2094 Pnt 1238 2146 Pnt 1263 2182 Pnt 1273 2205 Pnt 1272 2217 Pnt 1262 2221 Pnt 1244 2219 Pnt 1220 2210 Pnt 1190 2197 Pnt 1577 2808 Pnt 875 2165 Pnt 1348 2238 Pnt 1184 2010 Pnt 945 1779 Pnt 951 1830 Pnt 1071 1955 Pnt 1156 2046 Pnt 1213 2113 Pnt 1250 2160 Pnt 1271 2192 Pnt 1278 2212 Pnt 1276 2222 Pnt 1264 2225 Pnt 1245 2221 Pnt 2944 3441 Pnt 1351 2588 Pnt 1007 2177 Pnt 1364 2207 Pnt 1099 1935 Pnt 882 1742 Pnt 990 1871 Pnt 1100 1986 Pnt 1177 2070 Pnt 1228 2131 Pnt 1261 2174 Pnt 1278 2202 Pnt 1284 2219 Pnt 1279 2227 Pnt 2281 3186 Pnt 1159 2395 Pnt 1119 2185 Pnt 1270 2117 Pnt 1019 1865 Pnt 887 1768 Pnt 1028 1910 Pnt 1127 2015 Pnt 1197 2092 Pnt 1243 2148 Pnt 1271 2186 Pnt 1286 2211 Pnt 1906 2934 Pnt 995 2228 Pnt 1197 2179 Pnt 1172 2030 Pnt 942 1801 Pnt 935 1817 Pnt 1063 1947 Pnt 1153 2043 Pnt 1215 2113 Pnt 1257 2163 Pnt 1631 2709 Pnt 890 2103 Pnt 1216 2145 Pnt 1079 1949 Pnt 871 1741 Pnt 980 1863 Pnt 1096 1981 Pnt 1177 2069 Pnt 3164 3265 Pnt 1411 2513 Pnt 988 2103 Pnt 1178 2081 Pnt 998 1874 Pnt 883 1760 Pnt 1027 1904 Pnt 2416 3061 Pnt 1233 2344 Pnt 1052 2090 Pnt 1112 2005 Pnt 926 1804 Pnt 1035 2119 Pnt 1022 2106 Pnt 972 2080 Pnt 1040 2122 Pnt 1109 2149 Pnt 1066 2129 Pnt 1018 2105 Pnt 977 2083 Pnt 1044 2125 Pnt 1177 2179 Pnt 1144 2166 Pnt 1105 2149 Pnt 1062 2127 Pnt 1015 2103 Pnt 981 2086 Pnt 1049 2128 Pnt 1223 2191 Pnt 1203 2188 Pnt 1175 2180 Pnt 1141 2166 Pnt 1102 2148 Pnt 1058 2126 Pnt 1011 2101 Pnt 986 2089 Pnt 1054 2131 Pnt 1240 2177 Pnt 1237 2190 Pnt 1223 2194 Pnt 1202 2190 Pnt 1173 2180 Pnt 1139 2165 Pnt 1099 2147 Pnt 1055 2125 Pnt 1007 2100 Pnt 991 2093 Pnt 1058 2134 Pnt 1218 2128 Pnt 1238 2162 Pnt 1243 2184 Pnt 1238 2194 Pnt 1223 2196 Pnt 1200 2191 Pnt 1171 2180 Pnt 1136 2165 Pnt 1096 2146 Pnt 1051 2123 Pnt 1003 2098 Pnt 995 2096 Pnt 1062 2137 Pnt 1140 2026 Pnt 1193 2093 Pnt 1226 2140 Pnt 1243 2171 Pnt 1246 2189 Pnt 1239 2198 Pnt 1223 2198 Pnt 1199 2192 Pnt 1169 2181 Pnt 1133 2165 Pnt 1092 2145 Pnt 1048 2122 Pnt 1000 2097 Pnt 1000 2099 Pnt 1067 2140 Pnt 980 1844 Pnt 1084 1961 Pnt 1156 2046 Pnt 1205 2108 Pnt 1234 2151 Pnt 1248 2179 Pnt 1249 2195 Pnt 1240 2201 Pnt 1223 2200 Pnt 1198 2193 Pnt 1167 2181 Pnt 1130 2164 Pnt 1089 2144 Pnt 1044 2121 Pnt 996 2095 Pnt 1004 2102 Pnt 1071 2143 Pnt 1074 1892 Pnt 891 1741 Pnt 1008 1878 Pnt 1105 1986 Pnt 1172 2066 Pnt 1216 2122 Pnt 1241 2161 Pnt 1253 2186 Pnt 1252 2200 Pnt 1241 2205 Pnt 1222 2202 Pnt 1196 2194 Pnt 1164 2181 Pnt 1127 2163 Pnt 1086 2143 Pnt 1041 2119 Pnt 993 2093 Pnt 1008 2105 Pnt 1075 2145 Pnt 1150 2185 Pnt 1232 2069 Pnt 1027 1841 Pnt 909 1774 Pnt 1035 1910 Pnt 1125 2011 Pnt 1187 2084 Pnt 1226 2136 Pnt 1249 2171 Pnt 1257 2193 Pnt 1254 2205 Pnt 1242 2208 Pnt 1222 2204 Pnt 1195 2195 Pnt 1162 2181 Pnt 1125 2163 Pnt 1083 2142 Pnt 1038 2118 Pnt 989 2092 Pnt 1013 2108 Pnt 1080 2148 Pnt 1560 2928 Pnt 887 2210 Pnt 1258 2196 Pnt 1194 2015 Pnt 975 1790 Pnt 944 1814 Pnt 1062 1941 Pnt 1145 2034 Pnt 1201 2101 Pnt 1236 2149 Pnt 1255 2180 Pnt 1261 2200 Pnt 1256 2209 Pnt 1242 2211 Pnt 1221 2206 Pnt 1193 2195 Pnt 1160 2181 Pnt 1122 2162 Pnt 1080 2141 Pnt 1034 2117 Pnt 986 2090 Pnt 2795 3630 Pnt 1338 2687 Pnt 985 2190 Pnt 1337 2198 Pnt 1137 1954 Pnt 922 1750 Pnt 978 1853 Pnt 1087 1970 Pnt 1163 2056 Pnt 1214 2118 Pnt 1246 2161 Pnt 1262 2189 Pnt 1265 2206 Pnt 1258 2214 Pnt 1243 2214 Pnt 1220 2207 Pnt 1192 2196 Pnt 1158 2181 Pnt 1119 2162 Pnt 1077 2140 Pnt 2193 3331 Pnt 1143 2476 Pnt 1121 2205 Pnt 1336 2158 Pnt 1072 1892 Pnt 870 1743 Pnt 1012 1890 Pnt 1112 1998 Pnt 1181 2077 Pnt 1227 2133 Pnt 1255 2172 Pnt 1268 2198 Pnt 1269 2212 Pnt 1260 2218 Pnt 1243 2216 Pnt 1220 2209 Pnt 1190 2197 Pnt 1155 2180 Pnt 1837 3047 Pnt 968 2289 Pnt 1246 2222 Pnt 1263 2083 Pnt 1005 1831 Pnt 913 1789 Pnt 1043 1925 Pnt 1135 2024 Pnt 1198 2096 Pnt 1239 2148 Pnt 1263 2183 Pnt 1273 2206 Pnt 1272 2218 Pnt 1262 2221 Pnt 1244 2218 Pnt 1219 2210 Pnt 1566 2797 Pnt 882 2165 Pnt 1354 2239 Pnt 1178 2004 Pnt 940 1774 Pnt 954 1833 Pnt 1074 1958 Pnt 1157 2049 Pnt 1214 2115 Pnt 1251 2162 Pnt 1271 2193 Pnt 1279 2213 Pnt 1275 2223 Pnt 1263 2225 Pnt 2908 3432 Pnt 1342 2578 Pnt 1013 2177 Pnt 1360 2202 Pnt 1094 1930 Pnt 877 1741 Pnt 993 1875 Pnt 1102 1989 Pnt 1178 2072 Pnt 1230 2133 Pnt 1262 2175 Pnt 1279 2203 Pnt 1284 2220 Pnt 2264 3176 Pnt 1151 2387 Pnt 1124 2185 Pnt 1264 2111 Pnt 1013 1860 Pnt 891 1772 Pnt 1031 1913 Pnt 1129 2018 Pnt 1198 2094 Pnt 1244 2149 Pnt 1272 2187 Pnt 1894 2924 Pnt 988 2221 Pnt 1200 2178 Pnt 1166 2024 Pnt 937 1796 Pnt 939 1821 Pnt 1065 1950 Pnt 1155 2045 Pnt 1217 2115 Pnt 1621 2700 Pnt 895 2103 Pnt 1216 2142 Pnt 1074 1944 Pnt 866 1737 Pnt 984 1866 Pnt 1098 1984 Pnt 3122 3259 Pnt 1402 2504 Pnt 992 2103 Pnt 1175 2076 Pnt 993 1869 Pnt 888 1764 Pnt 1.000 UL LTb 5204 1496 M 3608 567 L 843 1103 M 3608 567 L 843 1103 M 1596 930 V 5204 1496 M 2439 2033 L 843 1103 M 0 1860 V 0 -1860 R 54 31 V 770 1032 M (0) Cshow 2439 2033 M -55 -32 V 1396 996 M 54 31 V 1323 925 M (2) Cshow 2992 1926 M -55 -32 V 1949 889 M 54 31 V 1876 818 M (4) Cshow 3545 1818 M -55 -32 V 2502 781 M 54 31 V 2429 710 M (6) Cshow 4098 1711 M -55 -32 V 3055 674 M 54 31 V 2982 603 M (8) Cshow 4651 1604 M -55 -32 V 3608 567 M 54 31 V 3535 496 M (10) Cshow 5204 1496 M -55 -32 V 1827 603 M (a_var) Cshow 3608 567 M -62 12 V 144 -39 R (0) Lshow 843 1103 M 61 -13 V 4177 898 M -62 12 V 144 -39 R (1) Lshow 1413 1435 M 61 -13 V 4746 1230 M -62 12 V 144 -39 R (2) Lshow 1982 1766 M 61 -13 V 5097 897 M (e_var) Cshow 843 1723 M 63 0 V -189 0 R (0) Rshow 843 2152 M 63 0 V -189 0 R (1) Rshow 843 2582 M 63 0 V -189 0 R (2) Rshow 843 3428 M (i_var) Cshow stroke grestore end showpage %%Trailer %%DocumentFonts: Helvetica %%Pages: 1 %%EndDocument @endspecial 212 4439 a(Figure)26 b(2:)i(Grid)d(o)m(v)m(er)j(the)f (longitudes)e(with)g(amplitude)g(equal)h(to)i(1)2595 4406 y Fi(o)2633 4439 y Fn(:)f(the)g(n)m(um)m(b)s(er)e(of)i(con)m(v)m (ergen)m(t)i(orbits)212 4552 y(is)h(5089.)i(Axis:)e Fj(a)822 4566 y Fi(v)r(ar)934 4552 y Fn(,)h Fj(e)1032 4566 y Fi(v)r(ar)1144 4552 y Fn(,)g Fj(i)1231 4566 y Fi(v)r(ar)1343 4552 y Fn(.)2033 5964 y(40)p eop %%Page: 41 41 41 40 bop 1074 2133 a @beginspecial 50 @llx 50 @lly 654 @urx 482 @ury 2409 @rwi @setspecial %%BeginDocument: fig3.ps %!PS-Adobe-2.0 %%Title: fig3.ps %%Creator: gnuplot 3.7 patchlevel 1 %%CreationDate: Tue May 11 22:05:14 2004 %%DocumentFonts: (atend) %%BoundingBox: 50 50 654 482 %%Orientation: Portrait %%Pages: (atend) %%EndComments /gnudict 256 dict def gnudict begin /Color false def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -46 def /dl {10 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth } def /AL { stroke userlinewidth 2 div setlinewidth } def /UL { dup gnulinewidth mul /userlinewidth exch def 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def end %%EndProlog %%Page: 1 1 gnudict begin gsave 50 50 translate 0.100 0.100 scale 0 setgray newpath (Helvetica) findfont 140 scalefont setfont 1.000 UL LTb 1.000 UL LT0 1066 1882 Pnt 1188 1986 Pnt 1264 2052 Pnt 1169 1990 Pnt 986 1872 Pnt 1756 2350 Pnt 946 1779 Pnt 1259 2050 Pnt 1278 2067 Pnt 1161 1987 Pnt 971 1863 Pnt 1144 1942 Pnt 1195 1934 Pnt 1326 2098 Pnt 1288 2078 Pnt 1153 1983 Pnt 988 1873 Pnt 1200 1893 Pnt 1385 2047 Pnt 1380 2134 Pnt 1295 2085 Pnt 1145 1979 Pnt 1005 1883 Pnt 1466 1971 Pnt 1531 2130 Pnt 1421 2162 Pnt 1299 2090 Pnt 1136 1974 Pnt 1021 1892 Pnt 1728 2098 Pnt 1643 2192 Pnt 1450 2184 Pnt 1301 2093 Pnt 1128 1970 Pnt 1036 1901 Pnt 3321 2274 Pnt 1953 2204 Pnt 1729 2239 Pnt 1472 2200 Pnt 1302 2095 Pnt 1121 1966 Pnt 1049 1908 Pnt 3355 2242 Pnt 2145 2281 Pnt 1796 2275 Pnt 1487 2214 Pnt 1302 2096 Pnt 1114 1962 Pnt 1062 1915 Pnt 3834 2223 Pnt 2307 2337 Pnt 1846 2303 Pnt 1498 2224 Pnt 1302 2097 Pnt 1108 1959 Pnt 1072 1921 Pnt 4816 2130 Pnt 2447 2377 Pnt 1886 2326 Pnt 1506 2233 Pnt 1302 2097 Pnt 2569 2406 Pnt 1917 2344 Pnt 1107 1912 Pnt 1247 2035 Pnt 1171 1989 Pnt 993 1876 Pnt 1043 1865 Pnt 1195 1992 Pnt 1264 2053 Pnt 1164 1987 Pnt 977 1867 Pnt 1717 2327 Pnt 964 1792 Pnt 1264 2055 Pnt 1277 2067 Pnt 1156 1983 Pnt 981 1869 Pnt 1137 1933 Pnt 1209 1943 Pnt 1328 2101 Pnt 1286 2077 Pnt 1147 1979 Pnt 999 1879 Pnt 1212 1895 Pnt 1395 2054 Pnt 1381 2136 Pnt 1292 2083 Pnt 1139 1975 Pnt 1016 1889 Pnt 1480 1975 Pnt 1538 2135 Pnt 1419 2163 Pnt 1295 2088 Pnt 1130 1970 Pnt 1032 1898 Pnt 1740 2105 Pnt 1647 2195 Pnt 1447 2184 Pnt 1297 2090 Pnt 1122 1966 Pnt 1047 1906 Pnt 3314 2272 Pnt 1963 2210 Pnt 1730 2241 Pnt 1467 2200 Pnt 1298 2092 Pnt 1114 1961 Pnt 1060 1914 Pnt 3369 2240 Pnt 2150 2285 Pnt 1794 2276 Pnt 1481 2212 Pnt 1297 2093 Pnt 1108 1958 Pnt 1072 1921 Pnt 3858 2223 Pnt 2309 2339 Pnt 1842 2304 Pnt 1491 2223 Pnt 1297 2093 Pnt 1102 1954 Pnt 4849 2128 Pnt 2445 2378 Pnt 1880 2325 Pnt 1498 2231 Pnt 2562 2407 Pnt 1227 2013 Pnt 1174 1989 Pnt 1001 1880 Pnt 1310 2070 Pnt 1116 1920 Pnt 1248 2036 Pnt 1167 1987 Pnt 984 1870 Pnt 1020 1849 Pnt 1201 1998 Pnt 1264 2053 Pnt 1158 1984 Pnt 973 1864 Pnt 1678 2303 Pnt 982 1804 Pnt 1269 2059 Pnt 1276 2066 Pnt 1150 1980 Pnt 992 1875 Pnt 1131 1925 Pnt 1223 1953 Pnt 1330 2104 Pnt 1284 2075 Pnt 1141 1975 Pnt 1010 1885 Pnt 1225 1898 Pnt 1405 2060 Pnt 1380 2138 Pnt 1289 2081 Pnt 1132 1971 Pnt 1027 1895 Pnt 1495 1979 Pnt 1544 2140 Pnt 1417 2164 Pnt 1292 2085 Pnt 1124 1966 Pnt 1043 1904 Pnt 1753 2112 Pnt 1649 2199 Pnt 1443 2184 Pnt 1293 2088 Pnt 1115 1961 Pnt 1058 1912 Pnt 3307 2270 Pnt 1972 2215 Pnt 1730 2243 Pnt 1462 2199 Pnt 1293 2089 Pnt 1108 1957 Pnt 1071 1920 Pnt 3381 2238 Pnt 2155 2289 Pnt 1791 2277 Pnt 1475 2211 Pnt 1293 2089 Pnt 1101 1953 Pnt 1083 1927 Pnt 3879 2224 Pnt 2310 2342 Pnt 1838 2304 Pnt 1484 2221 Pnt 1292 2089 Pnt 4877 2125 Pnt 2442 2380 Pnt 1874 2325 Pnt 1177 1988 Pnt 1009 1884 Pnt 1024 1834 Pnt 1228 2016 Pnt 1170 1986 Pnt 992 1874 Pnt 1320 2070 Pnt 1124 1928 Pnt 1248 2037 Pnt 1162 1984 Pnt 975 1864 Pnt 997 1833 Pnt 1208 2004 Pnt 1263 2054 Pnt 1153 1980 Pnt 985 1870 Pnt 1641 2280 Pnt 1000 1817 Pnt 1273 2063 Pnt 1274 2065 Pnt 1144 1976 Pnt 1004 1881 Pnt 1127 1917 Pnt 1236 1962 Pnt 1332 2107 Pnt 1281 2074 Pnt 1135 1971 Pnt 1022 1892 Pnt 1238 1901 Pnt 1414 2067 Pnt 1380 2140 Pnt 1286 2079 Pnt 1126 1967 Pnt 1039 1901 Pnt 1510 1983 Pnt 1549 2144 Pnt 1414 2164 Pnt 1288 2083 Pnt 1117 1962 Pnt 1055 1910 Pnt 4936 2163 Pnt 1764 2120 Pnt 1652 2202 Pnt 1439 2184 Pnt 1289 2084 Pnt 1108 1957 Pnt 1069 1919 Pnt 3300 2268 Pnt 1980 2220 Pnt 1729 2245 Pnt 1456 2198 Pnt 1288 2085 Pnt 1101 1952 Pnt 1082 1926 Pnt 3393 2236 Pnt 2160 2292 Pnt 1788 2278 Pnt 1468 2210 Pnt 1287 2086 Pnt 1094 1948 Pnt 3899 2224 Pnt 2311 2344 Pnt 1833 2304 Pnt 1476 2219 Pnt 4899 2124 Pnt 2438 2381 Pnt 1018 1888 Pnt 1207 1991 Pnt 1173 1986 Pnt 999 1878 Pnt 884 1921 Pnt 1034 1844 Pnt 1230 2018 Pnt 1165 1984 Pnt 982 1868 Pnt 1321 2066 Pnt 1132 1936 Pnt 1248 2038 Pnt 1156 1981 Pnt 978 1866 Pnt 975 1817 Pnt 1214 2010 Pnt 1262 2053 Pnt 1147 1977 Pnt 997 1877 Pnt 1605 2256 Pnt 1018 1829 Pnt 1277 2067 Pnt 1272 2064 Pnt 1138 1972 Pnt 1016 1888 Pnt 1123 1910 Pnt 1249 1971 Pnt 1333 2110 Pnt 1279 2072 Pnt 1128 1967 Pnt 1034 1898 Pnt 1251 1904 Pnt 1423 2073 Pnt 1379 2141 Pnt 1282 2077 Pnt 1119 1962 Pnt 1051 1908 Pnt 1524 1992 Pnt 1554 2149 Pnt 1411 2165 Pnt 1284 2080 Pnt 1110 1957 Pnt 1066 1917 Pnt 4746 2186 Pnt 1776 2126 Pnt 1653 2204 Pnt 1434 2183 Pnt 1284 2081 Pnt 1101 1952 Pnt 1081 1925 Pnt 3293 2266 Pnt 1988 2225 Pnt 1728 2247 Pnt 1450 2197 Pnt 1283 2082 Pnt 1093 1947 Pnt 1094 1932 Pnt 3404 2234 Pnt 2164 2295 Pnt 1785 2279 Pnt 1461 2208 Pnt 1282 2082 Pnt 3916 2225 Pnt 2311 2346 Pnt 1827 2304 Pnt 4916 2124 Pnt 1177 1985 Pnt 1008 1882 Pnt 947 1752 Pnt 1209 1994 Pnt 1169 1983 Pnt 989 1872 Pnt 910 1926 Pnt 1043 1853 Pnt 1231 2020 Pnt 1160 1981 Pnt 972 1862 Pnt 1314 2056 Pnt 1140 1944 Pnt 1248 2039 Pnt 1150 1977 Pnt 991 1873 Pnt 952 1801 Pnt 1220 2016 Pnt 1261 2053 Pnt 1141 1973 Pnt 1010 1884 Pnt 1569 2234 Pnt 1035 1841 Pnt 1281 2071 Pnt 1270 2063 Pnt 1131 1968 Pnt 1029 1895 Pnt 1120 1904 Pnt 1261 1980 Pnt 1334 2112 Pnt 1276 2070 Pnt 1121 1963 Pnt 1047 1905 Pnt 1265 1907 Pnt 1431 2080 Pnt 1377 2142 Pnt 1278 2074 Pnt 1112 1957 Pnt 1063 1915 Pnt 1538 2001 Pnt 1559 2153 Pnt 1408 2165 Pnt 1279 2077 Pnt 1102 1952 Pnt 1079 1923 Pnt 4578 2205 Pnt 1787 2133 Pnt 1655 2207 Pnt 1429 2183 Pnt 1279 2078 Pnt 1094 1947 Pnt 1093 1932 Pnt 3286 2264 Pnt 1995 2229 Pnt 1727 2248 Pnt 1444 2196 Pnt 1278 2078 Pnt 1086 1943 Pnt 3413 2232 Pnt 2167 2298 Pnt 1781 2279 Pnt 1454 2206 Pnt 3931 2226 Pnt 2309 2348 Pnt 1017 1887 Pnt 1187 1967 Pnt 1173 1983 Pnt 997 1876 Pnt 1460 2503 Pnt 954 1761 Pnt 1211 1997 Pnt 1164 1981 Pnt 979 1866 Pnt 942 1936 Pnt 1053 1863 Pnt 1232 2021 Pnt 1154 1977 Pnt 983 1868 Pnt 1299 2043 Pnt 1148 1951 Pnt 1248 2039 Pnt 1144 1973 Pnt 1004 1880 Pnt 930 1785 Pnt 1226 2021 Pnt 1260 2053 Pnt 1134 1969 Pnt 1023 1892 Pnt 1535 2211 Pnt 1052 1853 Pnt 1285 2075 Pnt 1268 2062 Pnt 1124 1963 Pnt 1042 1902 Pnt 1119 1898 Pnt 1274 1988 Pnt 1334 2114 Pnt 1272 2068 Pnt 1114 1958 Pnt 1059 1912 Pnt 1278 1910 Pnt 1439 2086 Pnt 1375 2143 Pnt 1274 2072 Pnt 1104 1953 Pnt 1076 1922 Pnt 1551 2010 Pnt 1563 2157 Pnt 1404 2165 Pnt 1275 2073 Pnt 1095 1947 Pnt 1091 1930 Pnt 4430 2220 Pnt 1797 2140 Pnt 1656 2210 Pnt 1424 2182 Pnt 1274 2074 Pnt 1086 1942 Pnt 1105 1938 Pnt 3279 2262 Pnt 2001 2234 Pnt 1725 2249 Pnt 1437 2195 Pnt 1272 2074 Pnt 3421 2230 Pnt 2169 2302 Pnt 1776 2280 Pnt 3943 2227 Pnt 1178 1982 Pnt 1006 1880 Pnt 923 1746 Pnt 1190 1971 Pnt 1168 1980 Pnt 987 1869 Pnt 1432 2466 Pnt 963 1771 Pnt 1213 2000 Pnt 1158 1978 Pnt 976 1863 Pnt 974 1945 Pnt 1062 1872 Pnt 1233 2023 Pnt 1148 1974 Pnt 997 1876 Pnt 1280 2027 Pnt 1156 1958 Pnt 1248 2040 Pnt 1138 1969 Pnt 1017 1888 Pnt 908 1769 Pnt 1231 2026 Pnt 1258 2052 Pnt 1128 1964 Pnt 1037 1899 Pnt 1501 2188 Pnt 1069 1864 Pnt 1289 2078 Pnt 1265 2060 Pnt 1117 1959 Pnt 1055 1910 Pnt 1118 1893 Pnt 1285 1996 Pnt 1334 2116 Pnt 1269 2066 Pnt 1107 1953 Pnt 1073 1920 Pnt 1292 1914 Pnt 1446 2091 Pnt 1373 2144 Pnt 1270 2069 Pnt 1097 1948 Pnt 1089 1929 Pnt 1564 2019 Pnt 1566 2161 Pnt 1400 2165 Pnt 1270 2070 Pnt 1087 1942 Pnt 1104 1937 Pnt 4298 2232 Pnt 1807 2146 Pnt 1656 2212 Pnt 1418 2181 Pnt 1269 2070 Pnt 1078 1937 Pnt 3271 2260 Pnt 2007 2238 Pnt 1722 2250 Pnt 1430 2193 Pnt 3429 2231 Pnt 2171 2304 Pnt 1015 1885 Pnt 1170 1943 Pnt 1173 1980 Pnt 995 1873 Pnt 4313 3175 Pnt 922 1740 Pnt 1193 1975 Pnt 1163 1978 Pnt 975 1862 Pnt 1403 2429 Pnt 972 1781 Pnt 1215 2003 Pnt 1153 1974 Pnt 990 1871 Pnt 1006 1955 Pnt 1072 1881 Pnt 1233 2024 Pnt 1142 1970 Pnt 1011 1884 Pnt 1258 2010 Pnt 1164 1965 Pnt 1247 2040 Pnt 1131 1965 Pnt 1032 1896 Pnt 4671 2577 Pnt 886 1754 Pnt 1236 2031 Pnt 1256 2051 Pnt 1120 1960 Pnt 1051 1907 Pnt 1468 2166 Pnt 1085 1876 Pnt 1292 2081 Pnt 1262 2058 Pnt 1109 1954 Pnt 1069 1917 Pnt 1119 1888 Pnt 1297 2005 Pnt 1334 2118 Pnt 1265 2063 Pnt 1099 1948 Pnt 1086 1927 Pnt 1305 1917 Pnt 1453 2097 Pnt 1370 2145 Pnt 1266 2065 Pnt 1088 1942 Pnt 1103 1936 Pnt 1577 2028 Pnt 1570 2164 Pnt 1395 2165 Pnt 1265 2066 Pnt 1079 1937 Pnt 1118 1945 Pnt 4179 2242 Pnt 1816 2153 Pnt 1656 2214 Pnt 1412 2180 Pnt 1263 2066 Pnt 3263 2258 Pnt 2013 2243 Pnt 1719 2251 Pnt 3434 2234 Pnt 1180 1979 Pnt 1003 1878 Pnt 1045 1870 Pnt 1173 1947 Pnt 1169 1978 Pnt 983 1866 Pnt 3484 3261 Pnt 923 1736 Pnt 1195 1979 Pnt 1158 1975 Pnt 983 1867 Pnt 1373 2391 Pnt 981 1791 Pnt 1216 2005 Pnt 1147 1971 Pnt 1005 1880 Pnt 1038 1965 Pnt 1081 1890 Pnt 1233 2025 Pnt 1135 1966 Pnt 1026 1892 Pnt 1234 1991 Pnt 1171 1972 Pnt 1245 2040 Pnt 1124 1961 Pnt 1046 1904 Pnt 3984 2659 Pnt 865 1738 Pnt 1241 2036 Pnt 1254 2050 Pnt 1113 1955 Pnt 1065 1915 Pnt 1436 2144 Pnt 1101 1887 Pnt 1295 2084 Pnt 1259 2056 Pnt 1102 1949 Pnt 1083 1925 Pnt 1120 1884 Pnt 1307 2012 Pnt 1334 2120 Pnt 1261 2060 Pnt 1091 1943 Pnt 1100 1935 Pnt 1319 1920 Pnt 1460 2102 Pnt 1367 2145 Pnt 1261 2062 Pnt 1080 1937 Pnt 1116 1944 Pnt 1590 2036 Pnt 1572 2168 Pnt 1390 2164 Pnt 1259 2063 Pnt 1070 1931 Pnt 4071 2250 Pnt 1825 2159 Pnt 1655 2216 Pnt 1406 2179 Pnt 3255 2256 Pnt 2017 2247 Pnt 1012 1882 Pnt 1162 1919 Pnt 1176 1978 Pnt 991 1870 Pnt 1028 1853 Pnt 1176 1952 Pnt 1163 1975 Pnt 975 1862 Pnt 3063 3269 Pnt 924 1733 Pnt 1197 1982 Pnt 1152 1972 Pnt 998 1875 Pnt 1342 2354 Pnt 990 1801 Pnt 1217 2007 Pnt 1140 1967 Pnt 1020 1888 Pnt 1070 1975 Pnt 1091 1899 Pnt 1233 2026 Pnt 1128 1962 Pnt 1041 1900 Pnt 1209 1972 Pnt 1178 1979 Pnt 1244 2039 Pnt 1117 1956 Pnt 1061 1912 Pnt 3557 2691 Pnt 843 1723 Pnt 1246 2040 Pnt 1251 2048 Pnt 1105 1950 Pnt 1080 1923 Pnt 1405 2123 Pnt 1117 1898 Pnt 1297 2086 Pnt 1255 2054 Pnt 1093 1944 Pnt 1098 1933 Pnt 1123 1881 Pnt 1318 2020 Pnt 1335 2121 Pnt 1256 2057 Pnt 1082 1937 Pnt 1115 1943 Pnt 1332 1924 Pnt 1466 2108 Pnt 1363 2146 Pnt 1256 2058 Pnt 1071 1931 Pnt 1602 2044 Pnt 1574 2171 Pnt 1385 2164 Pnt 1254 2058 Pnt 3973 2256 Pnt 1834 2165 Pnt 1654 2218 Pnt 3247 2255 Pnt 1185 1978 Pnt 999 1874 Pnt 1357 2166 Pnt 1164 1924 Pnt 1171 1976 Pnt 977 1862 Pnt 1013 1836 Pnt 1179 1956 Pnt 1158 1972 Pnt 992 1871 Pnt 2798 3250 Pnt 927 1730 Pnt 1199 1985 Pnt 1145 1968 Pnt 1015 1884 Pnt 1310 2317 Pnt 1000 1811 Pnt 1218 2009 Pnt 1133 1963 Pnt 1036 1897 Pnt 1101 1986 Pnt 1100 1907 Pnt 1232 2026 Pnt 1121 1957 Pnt 1057 1909 Pnt 1183 1953 Pnt 1185 1985 Pnt 1242 2038 Pnt 1109 1951 Pnt 1077 1920 Pnt 3257 2698 Pnt 864 1738 Pnt 1251 2045 Pnt 1248 2046 Pnt 1097 1945 Pnt 1095 1931 Pnt 1376 2102 Pnt 1132 1908 Pnt 1300 2089 Pnt 1251 2051 Pnt 1085 1938 Pnt 1126 1878 Pnt 1328 2028 Pnt 1336 2121 Pnt 1251 2054 Pnt 1073 1932 Pnt 1346 1927 Pnt 1471 2113 Pnt 1362 2145 Pnt 1250 2055 Pnt 1063 1925 Pnt 1614 2053 Pnt 1576 2174 Pnt 1382 2162 Pnt 3883 2261 Pnt 1842 2170 Pnt 1008 1878 Pnt 1171 1900 Pnt 1180 1976 Pnt 985 1866 Pnt 1328 2134 Pnt 1166 1929 Pnt 1165 1973 Pnt 985 1866 Pnt 998 1821 Pnt 1182 1961 Pnt 1152 1969 Pnt 1009 1880 Pnt 2609 3218 Pnt 932 1728 Pnt 1201 1988 Pnt 1139 1964 Pnt 1031 1894 Pnt 1277 2281 Pnt 1010 1822 Pnt 1218 2010 Pnt 1126 1959 Pnt 1053 1906 Pnt 1133 1996 Pnt 1109 1916 Pnt 1231 2026 Pnt 1113 1952 Pnt 1073 1918 Pnt 1157 1934 Pnt 1192 1991 Pnt 1240 2037 Pnt 1100 1946 Pnt 1093 1929 Pnt 3031 2691 Pnt 885 1753 Pnt 1255 2049 Pnt 1245 2044 Pnt 1088 1939 Pnt 1347 2082 Pnt 1147 1919 Pnt 1302 2091 Pnt 1247 2049 Pnt 1076 1932 Pnt 1131 1876 Pnt 1337 2035 Pnt 1336 2122 Pnt 1246 2050 Pnt 1064 1926 Pnt 1359 1931 Pnt 1476 2118 Pnt 1361 2144 Pnt 1244 2051 Pnt 1626 2060 Pnt 1577 2177 Pnt 3800 2265 Pnt 1192 1978 Pnt 993 1869 Pnt 1762 2700 Pnt 1170 1905 Pnt 1175 1974 Pnt 978 1862 Pnt 1299 2104 Pnt 1168 1934 Pnt 1159 1970 Pnt 1003 1877 Pnt 986 1806 Pnt 1184 1965 Pnt 1145 1966 Pnt 1027 1890 Pnt 2463 3179 Pnt 937 1733 Pnt 1203 1991 Pnt 1131 1960 Pnt 1049 1904 Pnt 1243 2244 Pnt 1020 1832 Pnt 1218 2011 Pnt 1118 1954 Pnt 1070 1916 Pnt 1163 2006 Pnt 1118 1924 Pnt 1230 2026 Pnt 1105 1947 Pnt 1131 1914 Pnt 1198 1997 Pnt 1237 2036 Pnt 1092 1940 Pnt 2851 2676 Pnt 905 1767 Pnt 1259 2052 Pnt 1241 2042 Pnt 1079 1933 Pnt 1319 2062 Pnt 1161 1929 Pnt 1304 2093 Pnt 1242 2045 Pnt 1066 1926 Pnt 1136 1875 Pnt 1346 2042 Pnt 1336 2122 Pnt 1241 2047 Pnt 1055 1920 Pnt 1373 1934 Pnt 1480 2122 Pnt 1360 2143 Pnt 1637 2068 Pnt 1000 1873 Pnt 1216 1893 Pnt 1187 1976 Pnt 977 1860 Pnt 1740 2655 Pnt 1170 1909 Pnt 1169 1972 Pnt 998 1873 Pnt 1270 2074 Pnt 1170 1939 Pnt 1153 1967 Pnt 1022 1887 Pnt 975 1793 Pnt 1186 1969 Pnt 1138 1962 Pnt 1045 1901 Pnt 2345 3136 Pnt 943 1742 Pnt 1204 1994 Pnt 1124 1955 Pnt 1067 1914 Pnt 1208 2207 Pnt 1031 1842 Pnt 1218 2012 Pnt 1110 1949 Pnt 1194 2016 Pnt 1126 1933 Pnt 1228 2026 Pnt 1096 1942 Pnt 1105 1895 Pnt 1204 2003 Pnt 1234 2034 Pnt 1082 1935 Pnt 2700 2655 Pnt 925 1782 Pnt 1262 2056 Pnt 1237 2040 Pnt 1069 1927 Pnt 1293 2042 Pnt 1175 1939 Pnt 1305 2094 Pnt 1237 2042 Pnt 1057 1920 Pnt 1142 1873 Pnt 1355 2049 Pnt 1336 2122 Pnt 1235 2043 Pnt 1386 1938 Pnt 1484 2127 Pnt 1203 1979 Pnt 983 1863 Pnt 1967 3535 Pnt 1208 1896 Pnt 1181 1974 Pnt 993 1869 Pnt 1717 2609 Pnt 1170 1914 Pnt 1162 1969 Pnt 1018 1884 Pnt 1242 2044 Pnt 1173 1944 Pnt 1146 1963 Pnt 1042 1898 Pnt 965 1781 Pnt 1188 1972 Pnt 1130 1957 Pnt 2245 3091 Pnt 951 1752 Pnt 1205 1996 Pnt 1115 1951 Pnt 1173 2170 Pnt 1041 1852 Pnt 1217 2013 Pnt 1101 1943 Pnt 1223 2026 Pnt 1135 1941 Pnt 1226 2025 Pnt 1086 1936 Pnt 1079 1876 Pnt 1210 2009 Pnt 1231 2033 Pnt 1073 1928 Pnt 2571 2630 Pnt 945 1796 Pnt 1266 2059 Pnt 1232 2037 Pnt 1059 1921 Pnt 1267 2023 Pnt 1188 1949 Pnt 1306 2096 Pnt 1232 2039 Pnt 1047 1914 Pnt 1149 1873 Pnt 1363 2056 Pnt 1336 2122 Pnt 1399 1941 Pnt 989 1866 Pnt 1323 1945 Pnt 1197 1978 Pnt 989 1866 Pnt 1916 3491 Pnt 1202 1899 Pnt 1174 1972 Pnt 1015 1882 Pnt 1691 2563 Pnt 1170 1919 Pnt 1155 1966 Pnt 1214 2015 Pnt 1175 1949 Pnt 1138 1959 Pnt 958 1770 Pnt 1190 1976 Pnt 1122 1953 Pnt 2158 3045 Pnt 959 1763 Pnt 1205 1997 Pnt 1106 1945 Pnt 1136 2133 Pnt 1051 1862 Pnt 1216 2013 Pnt 1091 1938 Pnt 1143 1948 Pnt 1224 2024 Pnt 1077 1930 Pnt 1053 1856 Pnt 1215 2014 Pnt 1227 2030 Pnt 1063 1922 Pnt 2457 2603 Pnt 964 1809 Pnt 1269 2062 Pnt 1228 2034 Pnt 1049 1914 Pnt 1243 2005 Pnt 1201 1959 Pnt 1307 2097 Pnt 1226 2035 Pnt 1156 1873 Pnt 1370 2062 Pnt 1218 1983 Pnt 986 1864 Pnt 1305 1926 Pnt 1190 1975 Pnt 1880 3447 Pnt 1197 1902 Pnt 1167 1969 Pnt 1663 2518 Pnt 1171 1924 Pnt 1148 1962 Pnt 1186 1987 Pnt 1178 1953 Pnt 1130 1955 Pnt 952 1760 Pnt 1192 1979 Pnt 1113 1947 Pnt 2080 2997 Pnt 967 1773 Pnt 1205 1999 Pnt 1097 1939 Pnt 1099 2097 Pnt 1062 1872 Pnt 1215 2013 Pnt 1081 1931 Pnt 1275 2042 Pnt 1151 1956 Pnt 1221 2022 Pnt 1066 1923 Pnt 1027 1837 Pnt 1220 2019 Pnt 1223 2028 Pnt 1052 1915 Pnt 2355 2574 Pnt 983 1823 Pnt 1271 2064 Pnt 1222 2030 Pnt 1038 1907 Pnt 1221 1988 Pnt 1214 1968 Pnt 1308 2097 Pnt 1165 1873 Pnt 1527 2130 Pnt 1210 1981 Pnt 1288 1909 Pnt 1182 1973 Pnt 1855 3403 Pnt 1193 1906 Pnt 1159 1965 Pnt 1633 2472 Pnt 1172 1930 Pnt 1139 1958 Pnt 1160 1960 Pnt 1180 1957 Pnt 1121 1950 Pnt 948 1752 Pnt 1193 1982 Pnt 1103 1942 Pnt 2009 2949 Pnt 977 1784 Pnt 1205 2000 Pnt 1087 1933 Pnt 1062 2060 Pnt 1072 1882 Pnt 1213 2013 Pnt 1071 1925 Pnt 1295 2047 Pnt 1159 1963 Pnt 1217 2021 Pnt 1056 1917 Pnt 1002 1819 Pnt 1225 2023 Pnt 1218 2025 Pnt 1041 1908 Pnt 2261 2544 Pnt 1002 1836 Pnt 1274 2067 Pnt 1217 2027 Pnt 1199 1971 Pnt 1225 1977 Pnt 1239 1989 Pnt 1495 2097 Pnt 1202 1978 Pnt 1273 1907 Pnt 1174 1970 Pnt 1844 3355 Pnt 1190 1911 Pnt 1151 1961 Pnt 1602 2427 Pnt 1174 1935 Pnt 1130 1953 Pnt 1134 1935 Pnt 1182 1962 Pnt 1111 1944 Pnt 946 1745 Pnt 1194 1984 Pnt 1093 1936 Pnt 1943 2901 Pnt 987 1795 Pnt 1204 2001 Pnt 1076 1927 Pnt 1024 2024 Pnt 1082 1892 Pnt 1211 2012 Pnt 1060 1918 Pnt 1308 2048 Pnt 1166 1970 Pnt 1214 2019 Pnt 1044 1909 Pnt 976 1800 Pnt 1230 2027 Pnt 1213 2022 Pnt 1029 1901 Pnt 2175 2512 Pnt 1020 1849 Pnt 1276 2069 Pnt 1180 1955 Pnt 1851 2480 Pnt 1229 1986 Pnt 1464 2065 Pnt 1193 1976 Pnt 1260 1908 Pnt 1165 1966 Pnt 1861 3301 Pnt 1187 1915 Pnt 1142 1957 Pnt 1175 1940 Pnt 1120 1948 Pnt 1110 1910 Pnt 1183 1965 Pnt 1101 1938 Pnt 946 1739 Pnt 1194 1986 Pnt 1082 1929 Pnt 1881 2852 Pnt 997 1806 Pnt 1203 2001 Pnt 1065 1920 Pnt 985 1987 Pnt 1092 1901 Pnt 1208 2011 Pnt 1048 1911 Pnt 1311 2043 Pnt 1173 1976 Pnt 1209 2016 Pnt 1032 1902 Pnt 951 1782 Pnt 1234 2031 Pnt 1208 2018 Pnt 2094 2480 Pnt 1037 1862 Pnt 1.000 UL LTb 5204 1496 M 3608 567 L 843 1103 M 3608 567 L 843 1103 M 1596 930 V 5204 1496 M 2439 2033 L 843 1103 M 0 1860 V 0 -1860 R 54 31 V 770 1032 M (0) Cshow 2439 2033 M -55 -32 V 1396 996 M 54 31 V 1323 925 M (2) Cshow 2992 1926 M -55 -32 V 1949 889 M 54 31 V 1876 818 M (4) Cshow 3545 1818 M -55 -32 V 2502 781 M 54 31 V 2429 710 M (6) Cshow 4098 1711 M -55 -32 V 3055 674 M 54 31 V 2982 603 M (8) Cshow 4651 1604 M -55 -32 V 3608 567 M 54 31 V 3535 496 M (10) Cshow 5204 1496 M -55 -32 V 1827 603 M (a_var) Cshow 3608 567 M -62 12 V 144 -39 R (0) Lshow 843 1103 M 61 -13 V 3874 722 M -62 12 V 144 -39 R (0.5) Lshow 1109 1258 M 61 -13 V 4140 877 M -62 12 V 144 -39 R (1) Lshow 1375 1413 M 61 -13 V 4406 1031 M -62 12 V 144 -39 R (1.5) Lshow 1641 1568 M 61 -13 V 4672 1186 M -62 12 V 144 -39 R (2) Lshow 1907 1723 M 61 -13 V 4938 1341 M -62 12 V 144 -39 R (2.5) Lshow 2173 1878 M 61 -13 V 5204 1496 M -62 12 V 144 -39 R (3) Lshow 2439 2033 M 61 -13 V 5097 897 M (e_var) Cshow 843 1723 M 63 0 V -189 0 R (0) Rshow 843 2089 M 63 0 V -189 0 R (2) Rshow 843 2456 M 63 0 V -189 0 R (4) Rshow 843 2822 M 63 0 V -189 0 R (6) Rshow 843 3428 M (i_var) Cshow stroke grestore end showpage %%Trailer %%DocumentFonts: Helvetica %%Pages: 1 %%EndDocument @endspecial 212 2328 a Fn(Figure)26 b(3:)i(Grid)d(o)m(v)m(er)j(the)f (longitudes)e(with)g(amplitude)g(equal)h(to)i(5)2595 2295 y Fi(o)2633 2328 y Fn(:)f(the)g(n)m(um)m(b)s(er)e(of)i(con)m(v)m (ergen)m(t)i(orbits)212 2441 y(is)h(1156.)i(Axis:)e Fj(a)822 2455 y Fi(v)r(ar)934 2441 y Fn(,)h Fj(e)1032 2455 y Fi(v)r(ar)1144 2441 y Fn(,)g Fj(i)1231 2455 y Fi(v)r(ar)1343 2441 y Fn(.)1074 4764 y @beginspecial 50 @llx 50 @lly 654 @urx 482 @ury 2409 @rwi @setspecial %%BeginDocument: fig4.ps %!PS-Adobe-2.0 %%Title: fig4.ps %%Creator: gnuplot 3.7 patchlevel 1 %%CreationDate: Tue May 11 22:15:04 2004 %%DocumentFonts: (atend) %%BoundingBox: 50 50 654 482 %%Orientation: Portrait %%Pages: (atend) %%EndComments /gnudict 256 dict def gnudict begin /Color false def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -46 def /dl {10 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth } def /AL { stroke userlinewidth 2 div setlinewidth } def /UL { dup gnulinewidth mul /userlinewidth exch def 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def end %%EndProlog %%Page: 1 1 gnudict begin gsave 50 50 translate 0.100 0.100 scale 0 setgray newpath (Helvetica) findfont 140 scalefont setfont 1.000 UL LTb 1.000 UL LT0 861 1737 Pnt 912 1786 Pnt 996 1864 Pnt 1077 1942 Pnt 1146 2015 Pnt 1190 2076 Pnt 1188 2114 Pnt 1139 2127 Pnt 1056 2124 Pnt 954 2113 Pnt 871 2117 Pnt 983 2240 Pnt 1111 2368 Pnt 1258 2501 Pnt 1416 2641 Pnt 1589 2786 Pnt 1782 2937 Pnt 2003 3093 Pnt 2276 3249 Pnt 2667 3393 Pnt 3513 3461 Pnt 1012 1869 Pnt 926 1796 Pnt 848 1726 Pnt 934 1803 Pnt 1019 1882 Pnt 1098 1959 Pnt 1162 2031 Pnt 1196 2087 Pnt 1180 2117 Pnt 1119 2124 Pnt 1029 2118 Pnt 922 2105 Pnt 904 2149 Pnt 1018 2274 Pnt 1155 2404 Pnt 1306 2540 Pnt 1469 2682 Pnt 1648 2830 Pnt 1849 2983 Pnt 2085 3140 Pnt 2386 3295 Pnt 1161 1994 Pnt 1076 1926 Pnt 990 1854 Pnt 903 1780 Pnt 870 1742 Pnt 957 1821 Pnt 1041 1899 Pnt 1118 1976 Pnt 1176 2045 Pnt 1198 2095 Pnt 1167 2118 Pnt 1096 2120 Pnt 1000 2111 Pnt 888 2097 Pnt 938 2181 Pnt 1056 2310 Pnt 1200 2441 Pnt 1355 2580 Pnt 1524 2724 Pnt 1710 2874 Pnt 1921 3030 Pnt 1307 2112 Pnt 1225 2048 Pnt 1141 1981 Pnt 1055 1911 Pnt 969 1839 Pnt 881 1764 Pnt 893 1759 Pnt 980 1838 Pnt 1063 1917 Pnt 1137 1993 Pnt 1188 2058 Pnt 1196 2101 Pnt 1152 2117 Pnt 1071 2115 Pnt 969 2104 Pnt 859 2092 Pnt 972 2215 Pnt 1098 2345 Pnt 1246 2479 Pnt 1406 2620 Pnt 1581 2767 Pnt 1452 2223 Pnt 1371 2163 Pnt 1288 2101 Pnt 1205 2035 Pnt 1120 1967 Pnt 1034 1897 Pnt 947 1823 Pnt 859 1748 Pnt 916 1777 Pnt 1003 1856 Pnt 1085 1935 Pnt 1155 2009 Pnt 1196 2070 Pnt 1189 2105 Pnt 1132 2114 Pnt 1044 2109 Pnt 937 2096 Pnt 892 2124 Pnt 1008 2250 Pnt 1142 2382 Pnt 1295 2518 Pnt 1595 2327 Pnt 1515 2271 Pnt 1434 2213 Pnt 1352 2152 Pnt 1269 2089 Pnt 1185 2022 Pnt 1099 1953 Pnt 1012 1882 Pnt 924 1808 Pnt 851 1738 Pnt 939 1794 Pnt 1026 1874 Pnt 1106 1953 Pnt 1171 2025 Pnt 1201 2080 Pnt 1178 2107 Pnt 1110 2111 Pnt 1015 2102 Pnt 903 2088 Pnt 926 2157 Pnt 1044 2286 Pnt 1737 2423 Pnt 1657 2372 Pnt 1578 2318 Pnt 1497 2261 Pnt 1416 2202 Pnt 1333 2141 Pnt 1249 2076 Pnt 1164 2009 Pnt 1078 1939 Pnt 990 1867 Pnt 902 1792 Pnt 874 1746 Pnt 963 1812 Pnt 1049 1892 Pnt 1127 1970 Pnt 1185 2039 Pnt 1201 2087 Pnt 1164 2107 Pnt 1086 2106 Pnt 984 2095 Pnt 868 2079 Pnt 1879 2513 Pnt 1800 2465 Pnt 1720 2416 Pnt 1641 2363 Pnt 1560 2309 Pnt 1479 2251 Pnt 1397 2191 Pnt 1314 2129 Pnt 1230 2064 Pnt 1144 1996 Pnt 1057 1925 Pnt 968 1851 Pnt 879 1775 Pnt 897 1753 Pnt 986 1830 Pnt 1071 1910 Pnt 1146 1987 Pnt 1195 2052 Pnt 1197 2092 Pnt 1146 2105 Pnt 1059 2100 Pnt 2024 2595 Pnt 1944 2552 Pnt 1864 2506 Pnt 1784 2458 Pnt 1704 2408 Pnt 1624 2355 Pnt 1543 2299 Pnt 1461 2241 Pnt 1379 2180 Pnt 1295 2117 Pnt 1210 2051 Pnt 1123 1982 Pnt 1035 1910 Pnt 946 1836 Pnt 856 1758 Pnt 921 1767 Pnt 1009 1848 Pnt 1093 1928 Pnt 1164 2004 Pnt 1203 2063 Pnt 1189 2095 Pnt 2175 2670 Pnt 2091 2631 Pnt 2009 2589 Pnt 1928 2546 Pnt 1848 2499 Pnt 1768 2451 Pnt 1687 2399 Pnt 1607 2346 Pnt 1525 2289 Pnt 1443 2230 Pnt 1360 2169 Pnt 1275 2105 Pnt 1189 2038 Pnt 1102 1968 Pnt 1013 1895 Pnt 923 1820 Pnt 854 1752 Pnt 944 1785 Pnt 1033 1866 Pnt 1115 1946 Pnt 1179 2019 Pnt 2335 2737 Pnt 2246 2702 Pnt 2160 2665 Pnt 2076 2626 Pnt 1994 2584 Pnt 1913 2539 Pnt 1832 2492 Pnt 1751 2443 Pnt 1671 2391 Pnt 1590 2336 Pnt 1508 2279 Pnt 1425 2220 Pnt 1341 2157 Pnt 1255 2092 Pnt 1168 2024 Pnt 1080 1953 Pnt 991 1880 Pnt 900 1803 Pnt 878 1759 Pnt 968 1803 Pnt 1056 1885 Pnt 2510 2795 Pnt 2412 2766 Pnt 2319 2733 Pnt 2231 2698 Pnt 2145 2661 Pnt 2061 2620 Pnt 1979 2578 Pnt 1897 2533 Pnt 1816 2485 Pnt 1735 2435 Pnt 1654 2382 Pnt 1572 2327 Pnt 1489 2269 Pnt 1406 2209 Pnt 1321 2145 Pnt 1235 2079 Pnt 1148 2010 Pnt 1059 1939 Pnt 968 1864 Pnt 877 1786 Pnt 901 1767 Pnt 2709 2843 Pnt 2597 2819 Pnt 2494 2793 Pnt 2397 2763 Pnt 2304 2730 Pnt 2216 2694 Pnt 2130 2656 Pnt 2046 2615 Pnt 1963 2572 Pnt 1881 2526 Pnt 1800 2478 Pnt 1719 2427 Pnt 1637 2373 Pnt 1554 2317 Pnt 1471 2259 Pnt 1387 2197 Pnt 1301 2133 Pnt 1215 2066 Pnt 1126 1996 Pnt 1037 1924 Pnt 946 1848 Pnt 2949 2878 Pnt 2814 2862 Pnt 2692 2841 Pnt 2581 2817 Pnt 2478 2790 Pnt 2381 2759 Pnt 2289 2726 Pnt 2200 2690 Pnt 2115 2651 Pnt 2030 2610 Pnt 1948 2566 Pnt 1865 2519 Pnt 1784 2470 Pnt 1702 2419 Pnt 1620 2364 Pnt 1537 2308 Pnt 1453 2248 Pnt 1368 2186 Pnt 1281 2121 Pnt 1194 2053 Pnt 1105 1982 Pnt 3259 2894 Pnt 3082 2889 Pnt 2929 2877 Pnt 2795 2861 Pnt 2675 2840 Pnt 2565 2815 Pnt 2462 2787 Pnt 2366 2756 Pnt 2274 2722 Pnt 2185 2685 Pnt 2099 2646 Pnt 2015 2604 Pnt 1932 2559 Pnt 1849 2512 Pnt 1767 2462 Pnt 1685 2410 Pnt 1602 2355 Pnt 1519 2298 Pnt 1434 2237 Pnt 1348 2174 Pnt 1261 2108 Pnt 3699 2880 Pnt 3442 2893 Pnt 3234 2895 Pnt 3060 2889 Pnt 2910 2877 Pnt 2777 2860 Pnt 2658 2839 Pnt 2548 2813 Pnt 2446 2785 Pnt 2350 2753 Pnt 2258 2718 Pnt 2170 2681 Pnt 2084 2641 Pnt 1999 2598 Pnt 1916 2553 Pnt 1833 2505 Pnt 1751 2455 Pnt 1668 2401 Pnt 1584 2346 Pnt 1500 2287 Pnt 1415 2226 Pnt 4421 2806 Pnt 3987 2857 Pnt 3665 2884 Pnt 3414 2895 Pnt 3210 2897 Pnt 3038 2890 Pnt 2890 2877 Pnt 2759 2859 Pnt 2641 2837 Pnt 2532 2811 Pnt 2430 2782 Pnt 2335 2749 Pnt 2243 2714 Pnt 2155 2676 Pnt 2068 2635 Pnt 1984 2592 Pnt 1900 2546 Pnt 1817 2498 Pnt 1734 2446 Pnt 1650 2393 Pnt 1567 2336 Pnt 4971 2730 Pnt 4366 2815 Pnt 3945 2862 Pnt 3632 2887 Pnt 3387 2898 Pnt 3186 2898 Pnt 3017 2890 Pnt 2871 2877 Pnt 2741 2858 Pnt 2624 2835 Pnt 2516 2809 Pnt 2415 2779 Pnt 2319 2746 Pnt 2228 2710 Pnt 2139 2671 Pnt 2053 2630 Pnt 1968 2586 Pnt 1884 2539 Pnt 1800 2490 Pnt 1717 2438 Pnt 4895 2743 Pnt 4313 2823 Pnt 3905 2868 Pnt 3600 2891 Pnt 3359 2900 Pnt 3162 2899 Pnt 2996 2891 Pnt 2852 2876 Pnt 2723 2857 Pnt 2607 2833 Pnt 2499 2806 Pnt 2399 2776 Pnt 2303 2742 Pnt 2212 2705 Pnt 2124 2666 Pnt 2037 2624 Pnt 1952 2580 Pnt 1868 2532 Pnt 4823 2756 Pnt 4261 2831 Pnt 3865 2873 Pnt 3568 2895 Pnt 3332 2902 Pnt 3139 2900 Pnt 2975 2891 Pnt 2832 2876 Pnt 2705 2856 Pnt 2590 2831 Pnt 2483 2803 Pnt 2383 2772 Pnt 2288 2738 Pnt 2197 2701 Pnt 2108 2661 Pnt 2021 2618 Pnt 4752 2767 Pnt 4211 2839 Pnt 3827 2878 Pnt 3536 2898 Pnt 3306 2904 Pnt 3116 2901 Pnt 2954 2891 Pnt 2813 2875 Pnt 2687 2854 Pnt 2573 2829 Pnt 2467 2801 Pnt 2367 2769 Pnt 2272 2734 Pnt 2181 2696 Pnt 891 1771 Pnt 976 1848 Pnt 1057 1926 Pnt 1129 2000 Pnt 1181 2065 Pnt 1193 2110 Pnt 1155 2129 Pnt 1080 2129 Pnt 983 2120 Pnt 871 2106 Pnt 951 2208 Pnt 1071 2335 Pnt 1214 2465 Pnt 1368 2602 Pnt 1535 2745 Pnt 1720 2894 Pnt 1930 3048 Pnt 2181 3204 Pnt 2520 3354 Pnt 3126 3464 Pnt 946 1810 Pnt 859 1735 Pnt 913 1787 Pnt 998 1865 Pnt 1078 1943 Pnt 1147 2016 Pnt 1190 2077 Pnt 1188 2115 Pnt 1138 2127 Pnt 1055 2123 Pnt 952 2112 Pnt 873 2119 Pnt 985 2241 Pnt 1113 2370 Pnt 1260 2503 Pnt 1419 2643 Pnt 1592 2788 Pnt 1785 2939 Pnt 2006 3095 Pnt 2280 3250 Pnt 2674 3394 Pnt 1095 1938 Pnt 1010 1868 Pnt 924 1795 Pnt 850 1727 Pnt 936 1805 Pnt 1021 1883 Pnt 1099 1960 Pnt 1163 2032 Pnt 1196 2087 Pnt 1179 2117 Pnt 1117 2124 Pnt 1027 2117 Pnt 920 2105 Pnt 906 2150 Pnt 1020 2276 Pnt 1157 2406 Pnt 1308 2542 Pnt 1472 2684 Pnt 1651 2832 Pnt 1853 2985 Pnt 2089 3142 Pnt 1242 2059 Pnt 1159 1993 Pnt 1074 1924 Pnt 988 1853 Pnt 902 1779 Pnt 872 1744 Pnt 959 1822 Pnt 1043 1901 Pnt 1119 1978 Pnt 1177 2046 Pnt 1198 2095 Pnt 1167 2118 Pnt 1095 2120 Pnt 998 2111 Pnt 886 2096 Pnt 940 2183 Pnt 1058 2311 Pnt 1202 2443 Pnt 1358 2581 Pnt 1527 2726 Pnt 1713 2876 Pnt 1387 2173 Pnt 1306 2111 Pnt 1223 2047 Pnt 1139 1980 Pnt 1053 1910 Pnt 967 1838 Pnt 879 1763 Pnt 895 1761 Pnt 982 1840 Pnt 1065 1919 Pnt 1138 1994 Pnt 1189 2059 Pnt 1195 2101 Pnt 1150 2117 Pnt 1069 2114 Pnt 967 2103 Pnt 860 2094 Pnt 974 2217 Pnt 1101 2347 Pnt 1249 2481 Pnt 1409 2622 Pnt 1530 2280 Pnt 1450 2222 Pnt 1369 2162 Pnt 1287 2099 Pnt 1203 2034 Pnt 1118 1966 Pnt 1032 1895 Pnt 945 1822 Pnt 857 1746 Pnt 918 1778 Pnt 1005 1857 Pnt 1087 1936 Pnt 1156 2011 Pnt 1197 2071 Pnt 1189 2105 Pnt 1131 2114 Pnt 1042 2108 Pnt 935 2095 Pnt 894 2125 Pnt 1010 2252 Pnt 1145 2383 Pnt 1672 2379 Pnt 1593 2326 Pnt 1513 2270 Pnt 1432 2212 Pnt 1350 2151 Pnt 1267 2087 Pnt 1183 2021 Pnt 1097 1952 Pnt 1010 1881 Pnt 923 1806 Pnt 853 1739 Pnt 941 1796 Pnt 1028 1875 Pnt 1108 1954 Pnt 1172 2026 Pnt 1201 2080 Pnt 1178 2107 Pnt 1109 2110 Pnt 1013 2102 Pnt 901 2087 Pnt 928 2158 Pnt 1814 2472 Pnt 1735 2422 Pnt 1655 2371 Pnt 1576 2317 Pnt 1495 2260 Pnt 1414 2201 Pnt 1331 2139 Pnt 1248 2075 Pnt 1163 2008 Pnt 1076 1938 Pnt 989 1865 Pnt 900 1790 Pnt 876 1746 Pnt 964 1813 Pnt 1050 1893 Pnt 1128 1971 Pnt 1185 2040 Pnt 1201 2088 Pnt 1163 2106 Pnt 1084 2105 Pnt 982 2094 Pnt 1957 2557 Pnt 1877 2512 Pnt 1798 2464 Pnt 1718 2414 Pnt 1639 2362 Pnt 1558 2307 Pnt 1477 2250 Pnt 1395 2190 Pnt 1312 2128 Pnt 1228 2062 Pnt 1142 1994 Pnt 1055 1923 Pnt 966 1850 Pnt 877 1774 Pnt 899 1754 Pnt 988 1831 Pnt 1073 1912 Pnt 1147 1988 Pnt 1196 2053 Pnt 1197 2093 Pnt 1145 2104 Pnt 2104 2635 Pnt 2022 2594 Pnt 1942 2551 Pnt 1862 2505 Pnt 1782 2457 Pnt 1702 2406 Pnt 1622 2353 Pnt 1541 2298 Pnt 1459 2240 Pnt 1377 2179 Pnt 1293 2116 Pnt 1208 2049 Pnt 1121 1980 Pnt 1033 1909 Pnt 944 1834 Pnt 854 1757 Pnt 923 1769 Pnt 1011 1849 Pnt 1095 1930 Pnt 1165 2005 Pnt 1203 2064 Pnt 2258 2705 Pnt 2173 2669 Pnt 2089 2630 Pnt 2007 2588 Pnt 1926 2545 Pnt 1846 2498 Pnt 1766 2449 Pnt 1686 2398 Pnt 1605 2344 Pnt 1523 2288 Pnt 1441 2229 Pnt 1358 2168 Pnt 1273 2103 Pnt 1187 2036 Pnt 1100 1966 Pnt 1011 1894 Pnt 921 1818 Pnt 856 1752 Pnt 946 1786 Pnt 1035 1868 Pnt 1116 1948 Pnt 2425 2768 Pnt 2332 2736 Pnt 2243 2702 Pnt 2158 2664 Pnt 2074 2625 Pnt 1992 2583 Pnt 1911 2538 Pnt 1830 2491 Pnt 1750 2442 Pnt 1669 2390 Pnt 1588 2335 Pnt 1506 2278 Pnt 1423 2218 Pnt 1339 2156 Pnt 1253 2091 Pnt 1167 2023 Pnt 1078 1952 Pnt 989 1878 Pnt 898 1802 Pnt 879 1760 Pnt 970 1805 Pnt 2611 2821 Pnt 2507 2794 Pnt 2409 2765 Pnt 2317 2732 Pnt 2228 2697 Pnt 2143 2660 Pnt 2059 2620 Pnt 1977 2577 Pnt 1895 2532 Pnt 1814 2484 Pnt 1733 2434 Pnt 1652 2381 Pnt 1570 2326 Pnt 1488 2268 Pnt 1404 2207 Pnt 1319 2144 Pnt 1233 2078 Pnt 1146 2009 Pnt 1057 1937 Pnt 966 1862 Pnt 875 1785 Pnt 2828 2862 Pnt 2706 2842 Pnt 2594 2819 Pnt 2491 2792 Pnt 2394 2762 Pnt 2302 2729 Pnt 2213 2693 Pnt 2128 2655 Pnt 2044 2614 Pnt 1961 2571 Pnt 1879 2525 Pnt 1798 2477 Pnt 1717 2426 Pnt 1635 2372 Pnt 1553 2316 Pnt 1469 2258 Pnt 1385 2196 Pnt 1299 2132 Pnt 1213 2065 Pnt 1124 1995 Pnt 1035 1922 Pnt 3099 2888 Pnt 2945 2877 Pnt 2810 2861 Pnt 2689 2841 Pnt 2578 2817 Pnt 2475 2789 Pnt 2379 2759 Pnt 2287 2725 Pnt 2198 2689 Pnt 2112 2650 Pnt 2028 2609 Pnt 1946 2565 Pnt 1863 2518 Pnt 1782 2469 Pnt 1700 2417 Pnt 1618 2363 Pnt 1535 2306 Pnt 1451 2247 Pnt 1366 2185 Pnt 1280 2119 Pnt 1192 2052 Pnt 3464 2891 Pnt 3253 2894 Pnt 3077 2889 Pnt 2925 2877 Pnt 2792 2861 Pnt 2672 2840 Pnt 2562 2815 Pnt 2459 2787 Pnt 2363 2755 Pnt 2271 2721 Pnt 2183 2684 Pnt 2097 2645 Pnt 2013 2603 Pnt 1930 2558 Pnt 1847 2511 Pnt 1765 2461 Pnt 1683 2409 Pnt 1600 2354 Pnt 1517 2296 Pnt 1432 2236 Pnt 1346 2173 Pnt 4018 2852 Pnt 3691 2880 Pnt 3436 2893 Pnt 3229 2895 Pnt 3055 2889 Pnt 2906 2877 Pnt 2774 2860 Pnt 2655 2838 Pnt 2545 2813 Pnt 2444 2784 Pnt 2348 2752 Pnt 2256 2717 Pnt 2168 2680 Pnt 2082 2640 Pnt 1997 2597 Pnt 1914 2552 Pnt 1831 2504 Pnt 1749 2453 Pnt 1666 2400 Pnt 1582 2345 Pnt 1498 2286 Pnt 5026 2721 Pnt 4405 2808 Pnt 3976 2858 Pnt 3657 2884 Pnt 3408 2896 Pnt 3205 2897 Pnt 3034 2890 Pnt 2886 2877 Pnt 2756 2859 Pnt 2637 2836 Pnt 2529 2810 Pnt 2428 2781 Pnt 2332 2749 Pnt 2241 2713 Pnt 2152 2675 Pnt 2066 2634 Pnt 1982 2591 Pnt 1898 2545 Pnt 1815 2497 Pnt 1732 2445 Pnt 1649 2391 Pnt 4948 2734 Pnt 4351 2817 Pnt 3935 2863 Pnt 3624 2888 Pnt 3380 2898 Pnt 3181 2898 Pnt 3013 2890 Pnt 2867 2876 Pnt 2738 2858 Pnt 2621 2835 Pnt 2513 2808 Pnt 2412 2778 Pnt 2317 2745 Pnt 2225 2709 Pnt 2137 2670 Pnt 2051 2629 Pnt 1966 2585 Pnt 1882 2538 Pnt 1798 2489 Pnt 4874 2747 Pnt 4298 2825 Pnt 3894 2869 Pnt 3592 2892 Pnt 3353 2900 Pnt 3157 2899 Pnt 2992 2890 Pnt 2848 2876 Pnt 2720 2856 Pnt 2604 2833 Pnt 2496 2805 Pnt 2396 2775 Pnt 2301 2741 Pnt 2210 2705 Pnt 2121 2665 Pnt 2035 2623 Pnt 1950 2579 Pnt 4802 2759 Pnt 4247 2833 Pnt 3855 2874 Pnt 3560 2895 Pnt 3326 2902 Pnt 3134 2900 Pnt 2971 2891 Pnt 2829 2875 Pnt 2702 2855 Pnt 2587 2831 Pnt 2480 2803 Pnt 2380 2772 Pnt 2285 2737 Pnt 2194 2700 Pnt 2106 2660 Pnt 955 1832 Pnt 1037 1909 Pnt 1112 1985 Pnt 1170 2053 Pnt 1193 2104 Pnt 1168 2129 Pnt 1102 2133 Pnt 1011 2126 Pnt 903 2113 Pnt 919 2177 Pnt 1032 2302 Pnt 1171 2430 Pnt 1321 2565 Pnt 1484 2706 Pnt 1662 2852 Pnt 1862 3004 Pnt 2096 3159 Pnt 2397 3312 Pnt 2872 3442 Pnt 4277 3404 Pnt 880 1750 Pnt 893 1772 Pnt 977 1849 Pnt 1059 1927 Pnt 1131 2001 Pnt 1182 2066 Pnt 1192 2110 Pnt 1154 2128 Pnt 1079 2128 Pnt 981 2119 Pnt 870 2105 Pnt 953 2210 Pnt 1073 2336 Pnt 1216 2467 Pnt 1370 2604 Pnt 1538 2747 Pnt 1723 2896 Pnt 1933 3050 Pnt 2186 3206 Pnt 2526 3355 Pnt 3139 3464 Pnt 1029 1881 Pnt 944 1809 Pnt 858 1734 Pnt 915 1789 Pnt 1000 1867 Pnt 1080 1944 Pnt 1148 2017 Pnt 1191 2078 Pnt 1187 2115 Pnt 1136 2127 Pnt 1053 2123 Pnt 950 2112 Pnt 875 2120 Pnt 987 2243 Pnt 1115 2372 Pnt 1262 2505 Pnt 1421 2644 Pnt 1595 2790 Pnt 1788 2941 Pnt 2010 3097 Pnt 2284 3252 Pnt 1177 2005 Pnt 1093 1937 Pnt 1008 1866 Pnt 922 1793 Pnt 851 1729 Pnt 938 1806 Pnt 1022 1884 Pnt 1101 1962 Pnt 1164 2033 Pnt 1196 2088 Pnt 1178 2117 Pnt 1116 2124 Pnt 1026 2117 Pnt 918 2104 Pnt 908 2152 Pnt 1022 2278 Pnt 1159 2408 Pnt 1310 2544 Pnt 1474 2686 Pnt 1654 2834 Pnt 1856 2987 Pnt 1323 2122 Pnt 1241 2058 Pnt 1157 1992 Pnt 1072 1923 Pnt 987 1851 Pnt 900 1777 Pnt 874 1745 Pnt 961 1823 Pnt 1044 1902 Pnt 1121 1979 Pnt 1178 2047 Pnt 1198 2096 Pnt 1166 2118 Pnt 1093 2119 Pnt 996 2110 Pnt 884 2096 Pnt 941 2185 Pnt 1060 2313 Pnt 1204 2445 Pnt 1360 2583 Pnt 1529 2728 Pnt 1466 2231 Pnt 1385 2172 Pnt 1304 2110 Pnt 1221 2045 Pnt 1137 1978 Pnt 1051 1909 Pnt 965 1836 Pnt 877 1761 Pnt 897 1762 Pnt 983 1841 Pnt 1066 1920 Pnt 1140 1995 Pnt 1189 2060 Pnt 1195 2102 Pnt 1149 2117 Pnt 1068 2114 Pnt 965 2103 Pnt 862 2095 Pnt 976 2219 Pnt 1103 2349 Pnt 1251 2483 Pnt 1608 2334 Pnt 1528 2279 Pnt 1448 2221 Pnt 1367 2161 Pnt 1285 2098 Pnt 1201 2033 Pnt 1116 1965 Pnt 1030 1894 Pnt 943 1821 Pnt 855 1745 Pnt 920 1779 Pnt 1006 1859 Pnt 1088 1938 Pnt 1157 2012 Pnt 1197 2071 Pnt 1188 2105 Pnt 1130 2114 Pnt 1041 2108 Pnt 933 2095 Pnt 896 2127 Pnt 1012 2254 Pnt 1749 2429 Pnt 1670 2378 Pnt 1591 2325 Pnt 1511 2269 Pnt 1430 2210 Pnt 1348 2150 Pnt 1265 2086 Pnt 1181 2020 Pnt 1095 1951 Pnt 1009 1879 Pnt 921 1805 Pnt 855 1740 Pnt 943 1797 Pnt 1029 1877 Pnt 1109 1955 Pnt 1173 2027 Pnt 1201 2081 Pnt 1177 2107 Pnt 1107 2110 Pnt 1011 2101 Pnt 899 2087 Pnt 1891 2517 Pnt 1812 2471 Pnt 1733 2421 Pnt 1654 2370 Pnt 1574 2316 Pnt 1493 2259 Pnt 1412 2200 Pnt 1329 2138 Pnt 1246 2074 Pnt 1161 2006 Pnt 1074 1937 Pnt 987 1864 Pnt 898 1789 Pnt 878 1747 Pnt 966 1815 Pnt 1052 1895 Pnt 1129 1973 Pnt 1186 2041 Pnt 1201 2088 Pnt 1162 2106 Pnt 1083 2105 Pnt 2035 2599 Pnt 1955 2556 Pnt 1875 2511 Pnt 1796 2463 Pnt 1716 2413 Pnt 1637 2361 Pnt 1557 2306 Pnt 1476 2249 Pnt 1394 2189 Pnt 1310 2126 Pnt 1226 2061 Pnt 1140 1993 Pnt 1053 1922 Pnt 965 1849 Pnt 875 1772 Pnt 901 1754 Pnt 990 1833 Pnt 1074 1913 Pnt 1148 1990 Pnt 1197 2054 Pnt 1196 2093 Pnt 2185 2673 Pnt 2102 2634 Pnt 2020 2593 Pnt 1940 2550 Pnt 1860 2504 Pnt 1780 2456 Pnt 1700 2405 Pnt 1620 2352 Pnt 1539 2297 Pnt 1458 2238 Pnt 1375 2178 Pnt 1291 2114 Pnt 1206 2048 Pnt 1119 1979 Pnt 1031 1907 Pnt 942 1833 Pnt 852 1756 Pnt 924 1770 Pnt 1013 1851 Pnt 1096 1931 Pnt 1166 2006 Pnt 2345 2739 Pnt 2256 2705 Pnt 2170 2668 Pnt 2087 2629 Pnt 2005 2588 Pnt 1924 2544 Pnt 1844 2497 Pnt 1764 2448 Pnt 1684 2397 Pnt 1603 2343 Pnt 1522 2287 Pnt 1439 2228 Pnt 1356 2166 Pnt 1271 2102 Pnt 1185 2035 Pnt 1098 1965 Pnt 1009 1892 Pnt 920 1817 Pnt 858 1753 Pnt 948 1788 Pnt 1036 1869 Pnt 2520 2796 Pnt 2422 2767 Pnt 2330 2735 Pnt 2241 2701 Pnt 2155 2664 Pnt 2072 2624 Pnt 1990 2582 Pnt 1909 2537 Pnt 1828 2490 Pnt 1748 2441 Pnt 1667 2389 Pnt 1586 2334 Pnt 1504 2277 Pnt 1421 2217 Pnt 1337 2155 Pnt 1251 2089 Pnt 1165 2021 Pnt 1077 1950 Pnt 987 1877 Pnt 897 1800 Pnt 881 1760 Pnt 2720 2843 Pnt 2608 2820 Pnt 2504 2794 Pnt 2407 2764 Pnt 2315 2732 Pnt 2226 2697 Pnt 2140 2659 Pnt 2057 2619 Pnt 1974 2576 Pnt 1893 2531 Pnt 1812 2483 Pnt 1731 2433 Pnt 1650 2380 Pnt 1568 2325 Pnt 1486 2267 Pnt 1402 2206 Pnt 1317 2143 Pnt 1231 2077 Pnt 1144 2008 Pnt 1055 1936 Pnt 965 1861 Pnt 2961 2877 Pnt 2825 2862 Pnt 2703 2842 Pnt 2591 2818 Pnt 2488 2791 Pnt 2392 2761 Pnt 2299 2728 Pnt 2211 2692 Pnt 2125 2654 Pnt 2042 2613 Pnt 1959 2570 Pnt 1877 2524 Pnt 1796 2476 Pnt 1715 2425 Pnt 1633 2371 Pnt 1551 2315 Pnt 1467 2256 Pnt 1383 2195 Pnt 1298 2131 Pnt 1211 2064 Pnt 1122 1994 Pnt 3273 2892 Pnt 3094 2888 Pnt 2941 2877 Pnt 2806 2861 Pnt 2686 2840 Pnt 2575 2816 Pnt 2473 2789 Pnt 2376 2758 Pnt 2284 2724 Pnt 2196 2688 Pnt 2110 2649 Pnt 2026 2608 Pnt 1943 2564 Pnt 1861 2517 Pnt 1780 2468 Pnt 1698 2416 Pnt 1616 2362 Pnt 1533 2305 Pnt 1449 2246 Pnt 1364 2183 Pnt 1278 2118 Pnt 3716 2877 Pnt 3457 2891 Pnt 3248 2894 Pnt 3072 2888 Pnt 2921 2877 Pnt 2788 2860 Pnt 2668 2839 Pnt 2559 2814 Pnt 2457 2786 Pnt 2361 2755 Pnt 2269 2720 Pnt 2181 2684 Pnt 2095 2644 Pnt 2011 2602 Pnt 1928 2557 Pnt 1845 2510 Pnt 1763 2460 Pnt 1681 2408 Pnt 1598 2353 Pnt 1515 2295 Pnt 1430 2235 Pnt 4445 2802 Pnt 4007 2853 Pnt 3682 2881 Pnt 3429 2893 Pnt 3223 2895 Pnt 3051 2889 Pnt 2902 2877 Pnt 2770 2859 Pnt 2651 2837 Pnt 2542 2812 Pnt 2441 2783 Pnt 2345 2751 Pnt 2254 2716 Pnt 2165 2679 Pnt 2080 2639 Pnt 1995 2596 Pnt 1912 2551 Pnt 1829 2503 Pnt 1747 2452 Pnt 1664 2399 Pnt 1580 2343 Pnt 5002 2724 Pnt 4390 2810 Pnt 3965 2859 Pnt 3649 2885 Pnt 3401 2896 Pnt 3199 2897 Pnt 3029 2890 Pnt 2882 2876 Pnt 2752 2858 Pnt 2634 2836 Pnt 2526 2810 Pnt 2425 2780 Pnt 2330 2748 Pnt 2238 2712 Pnt 2150 2674 Pnt 2064 2633 Pnt 1980 2590 Pnt 1896 2544 Pnt 1813 2495 Pnt 1730 2444 Pnt 4926 2737 Pnt 4336 2819 Pnt 3924 2865 Pnt 3616 2889 Pnt 3374 2898 Pnt 3176 2898 Pnt 3008 2890 Pnt 2863 2876 Pnt 2734 2857 Pnt 2617 2834 Pnt 2510 2807 Pnt 2409 2777 Pnt 2314 2744 Pnt 2223 2708 Pnt 2135 2669 Pnt 2048 2628 Pnt 1964 2584 Pnt 1880 2537 Pnt 4852 2750 Pnt 4284 2827 Pnt 3884 2870 Pnt 3584 2892 Pnt 3347 2900 Pnt 3152 2899 Pnt 2987 2890 Pnt 2844 2875 Pnt 2716 2856 Pnt 2601 2832 Pnt 2494 2805 Pnt 2394 2774 Pnt 2299 2740 Pnt 2207 2704 Pnt 2119 2664 Pnt 2033 2622 Pnt 1017 1893 Pnt 1094 1969 Pnt 1157 2040 Pnt 1191 2096 Pnt 1178 2127 Pnt 1122 2136 Pnt 1037 2132 Pnt 934 2121 Pnt 888 2147 Pnt 1000 2269 Pnt 1130 2396 Pnt 1276 2528 Pnt 1434 2667 Pnt 1606 2811 Pnt 1797 2960 Pnt 2018 3114 Pnt 2291 3268 Pnt 2685 3409 Pnt 3543 3473 Pnt 872 1757 Pnt 957 1833 Pnt 1039 1911 Pnt 1113 1986 Pnt 1171 2054 Pnt 1193 2104 Pnt 1167 2129 Pnt 1101 2133 Pnt 1009 2126 Pnt 901 2113 Pnt 921 2179 Pnt 1034 2304 Pnt 1173 2432 Pnt 1324 2567 Pnt 1486 2707 Pnt 1665 2854 Pnt 1865 3006 Pnt 2100 3161 Pnt 2402 3313 Pnt 2881 3443 Pnt 4321 3399 Pnt 964 1823 Pnt 878 1749 Pnt 894 1773 Pnt 979 1851 Pnt 1060 1928 Pnt 1132 2003 Pnt 1182 2067 Pnt 1192 2111 Pnt 1153 2128 Pnt 1077 2128 Pnt 979 2119 Pnt 868 2105 Pnt 955 2211 Pnt 1075 2338 Pnt 1218 2469 Pnt 1373 2606 Pnt 1541 2749 Pnt 1726 2898 Pnt 1937 3052 Pnt 2190 3208 Pnt 2531 3357 Pnt 1112 1949 Pnt 1027 1880 Pnt 942 1807 Pnt 856 1733 Pnt 917 1790 Pnt 1002 1868 Pnt 1081 1946 Pnt 1150 2019 Pnt 1191 2079 Pnt 1187 2115 Pnt 1135 2127 Pnt 1051 2123 Pnt 948 2111 Pnt 876 2122 Pnt 989 2245 Pnt 1118 2374 Pnt 1265 2507 Pnt 1424 2646 Pnt 1598 2792 Pnt 1791 2943 Pnt 2013 3099 Pnt 1258 2069 Pnt 1175 2004 Pnt 1091 1936 Pnt 1006 1865 Pnt 920 1792 Pnt 853 1730 Pnt 940 1807 Pnt 1024 1886 Pnt 1102 1963 Pnt 1165 2034 Pnt 1196 2089 Pnt 1178 2117 Pnt 1115 2123 Pnt 1024 2116 Pnt 916 2104 Pnt 909 2154 Pnt 1024 2280 Pnt 1161 2410 Pnt 1313 2546 Pnt 1477 2688 Pnt 1657 2836 Pnt 1402 2181 Pnt 1321 2120 Pnt 1239 2057 Pnt 1155 1990 Pnt 1071 1922 Pnt 985 1850 Pnt 898 1776 Pnt 876 1747 Pnt 962 1825 Pnt 1046 1903 Pnt 1122 1980 Pnt 1179 2048 Pnt 1198 2096 Pnt 1165 2118 Pnt 1092 2119 Pnt 994 2110 Pnt 882 2095 Pnt 943 2187 Pnt 1062 2315 Pnt 1207 2447 Pnt 1363 2585 Pnt 1544 2287 Pnt 1464 2230 Pnt 1384 2171 Pnt 1302 2109 Pnt 1219 2044 Pnt 1135 1977 Pnt 1050 1907 Pnt 963 1835 Pnt 876 1760 Pnt 899 1764 Pnt 985 1842 Pnt 1068 1921 Pnt 1141 1997 Pnt 1190 2061 Pnt 1195 2102 Pnt 1148 2117 Pnt 1066 2114 Pnt 963 2102 Pnt 864 2097 Pnt 978 2221 Pnt 1105 2351 Pnt 1684 2385 Pnt 1606 2332 Pnt 1527 2277 Pnt 1446 2220 Pnt 1365 2160 Pnt 1283 2097 Pnt 1199 2031 Pnt 1114 1963 Pnt 1028 1893 Pnt 941 1819 Pnt 853 1743 Pnt 922 1781 Pnt 1008 1860 Pnt 1090 1939 Pnt 1158 2013 Pnt 1198 2072 Pnt 1187 2106 Pnt 1128 2114 Pnt 1039 2107 Pnt 931 2094 Pnt 898 2129 Pnt 1825 2477 Pnt 1747 2428 Pnt 1668 2377 Pnt 1589 2324 Pnt 1509 2268 Pnt 1428 2209 Pnt 1347 2148 Pnt 1264 2085 Pnt 1179 2018 Pnt 1094 1949 Pnt 1007 1878 Pnt 919 1803 Pnt 856 1740 Pnt 945 1798 Pnt 1031 1878 Pnt 1111 1957 Pnt 1174 2028 Pnt 1201 2081 Pnt 1176 2107 Pnt 1106 2110 Pnt 1010 2101 Pnt 1968 2561 Pnt 1889 2516 Pnt 1810 2469 Pnt 1731 2420 Pnt 1652 2369 Pnt 1572 2314 Pnt 1491 2258 Pnt 1410 2199 Pnt 1328 2137 Pnt 1244 2072 Pnt 1159 2005 Pnt 1072 1935 Pnt 985 1863 Pnt 896 1787 Pnt 880 1747 Pnt 968 1816 Pnt 1054 1896 Pnt 1131 1974 Pnt 1187 2042 Pnt 1201 2088 Pnt 1161 2106 Pnt 2115 2638 Pnt 2033 2598 Pnt 1953 2555 Pnt 1873 2510 Pnt 1794 2462 Pnt 1715 2412 Pnt 1635 2360 Pnt 1555 2305 Pnt 1474 2248 Pnt 1392 2188 Pnt 1308 2125 Pnt 1224 2060 Pnt 1138 1992 Pnt 1051 1921 Pnt 963 1847 Pnt 873 1771 Pnt 903 1755 Pnt 991 1834 Pnt 1076 1914 Pnt 1150 1991 Pnt 1197 2055 Pnt 2269 2708 Pnt 2183 2672 Pnt 2100 2633 Pnt 2018 2592 Pnt 1938 2549 Pnt 1858 2503 Pnt 1778 2455 Pnt 1698 2404 Pnt 1618 2351 Pnt 1537 2295 Pnt 1456 2237 Pnt 1373 2176 Pnt 1289 2113 Pnt 1204 2047 Pnt 1117 1978 Pnt 1029 1906 Pnt 940 1831 Pnt 850 1754 Pnt 926 1771 Pnt 1015 1852 Pnt 1098 1932 Pnt 2435 2769 Pnt 2342 2738 Pnt 2254 2704 Pnt 2168 2667 Pnt 2085 2628 Pnt 2003 2587 Pnt 1922 2543 Pnt 1842 2496 Pnt 1762 2447 Pnt 1682 2396 Pnt 1601 2342 Pnt 1520 2286 Pnt 1437 2227 Pnt 1354 2165 Pnt 1269 2101 Pnt 1183 2034 Pnt 1096 1964 Pnt 1007 1891 Pnt 918 1815 Pnt 860 1753 Pnt 950 1789 Pnt 2621 2821 Pnt 2517 2795 Pnt 2420 2766 Pnt 2327 2734 Pnt 2239 2700 Pnt 2153 2663 Pnt 2070 2623 Pnt 1988 2581 Pnt 1907 2536 Pnt 1826 2489 Pnt 1746 2440 Pnt 1665 2387 Pnt 1584 2333 Pnt 1502 2276 Pnt 1419 2216 Pnt 1335 2153 Pnt 1249 2088 Pnt 1163 2020 Pnt 1075 1949 Pnt 985 1875 Pnt 895 1799 Pnt 2840 2862 Pnt 2717 2843 Pnt 2605 2819 Pnt 2501 2793 Pnt 2404 2763 Pnt 2312 2731 Pnt 2224 2696 Pnt 2138 2658 Pnt 2055 2618 Pnt 1972 2575 Pnt 1891 2530 Pnt 1810 2482 Pnt 1729 2432 Pnt 1648 2379 Pnt 1566 2323 Pnt 1484 2265 Pnt 1400 2205 Pnt 1315 2141 Pnt 1229 2075 Pnt 1142 2006 Pnt 1053 1934 Pnt 3111 2887 Pnt 2957 2877 Pnt 2821 2861 Pnt 2700 2841 Pnt 2589 2818 Pnt 2486 2790 Pnt 2389 2760 Pnt 2297 2727 Pnt 2209 2692 Pnt 2123 2653 Pnt 2039 2612 Pnt 1957 2569 Pnt 1875 2523 Pnt 1794 2474 Pnt 1713 2423 Pnt 1631 2370 Pnt 1549 2314 Pnt 1465 2255 Pnt 1381 2194 Pnt 1296 2129 Pnt 1209 2062 Pnt 3479 2888 Pnt 3267 2892 Pnt 3089 2888 Pnt 2937 2877 Pnt 2803 2860 Pnt 2682 2840 Pnt 2572 2816 Pnt 2470 2788 Pnt 2374 2757 Pnt 2282 2724 Pnt 2194 2687 Pnt 2108 2648 Pnt 2024 2607 Pnt 1941 2563 Pnt 1859 2516 Pnt 1778 2467 Pnt 1696 2415 Pnt 1614 2361 Pnt 1531 2304 Pnt 1447 2244 Pnt 1362 2182 Pnt 4038 2848 Pnt 3708 2878 Pnt 3451 2891 Pnt 3242 2894 Pnt 3068 2888 Pnt 2917 2877 Pnt 2785 2860 Pnt 2665 2838 Pnt 2556 2813 Pnt 2454 2785 Pnt 2358 2754 Pnt 2267 2720 Pnt 2178 2683 Pnt 2093 2643 Pnt 2009 2601 Pnt 1926 2556 Pnt 1843 2509 Pnt 1761 2459 Pnt 1679 2407 Pnt 1596 2352 Pnt 1513 2294 Pnt 5058 2714 Pnt 4430 2804 Pnt 3996 2854 Pnt 3674 2882 Pnt 3422 2894 Pnt 3218 2895 Pnt 3046 2889 Pnt 2898 2876 Pnt 2767 2859 Pnt 2648 2837 Pnt 2540 2811 Pnt 2438 2782 Pnt 2343 2750 Pnt 2251 2716 Pnt 2163 2678 Pnt 2077 2638 Pnt 1993 2595 Pnt 1910 2550 Pnt 1827 2502 Pnt 1745 2451 Pnt 1662 2398 Pnt 4979 2728 Pnt 4375 2812 Pnt 3954 2860 Pnt 3640 2885 Pnt 3395 2896 Pnt 3194 2897 Pnt 3025 2889 Pnt 2878 2876 Pnt 2749 2858 Pnt 2631 2835 Pnt 2523 2809 Pnt 2423 2779 Pnt 2327 2747 Pnt 2236 2711 Pnt 2148 2673 Pnt 2062 2632 Pnt 1977 2589 Pnt 1894 2543 Pnt 1811 2494 Pnt 4904 2741 Pnt 4322 2821 Pnt 3914 2866 Pnt 3608 2889 Pnt 3367 2898 Pnt 3170 2898 Pnt 3004 2890 Pnt 2859 2876 Pnt 2731 2857 Pnt 2614 2833 Pnt 2507 2807 Pnt 2407 2776 Pnt 2312 2743 Pnt 2221 2707 Pnt 2132 2668 Pnt 2046 2627 Pnt 1962 2583 Pnt 1075 1954 Pnt 1142 2026 Pnt 1185 2086 Pnt 1185 2124 Pnt 1140 2139 Pnt 1061 2137 Pnt 963 2127 Pnt 858 2118 Pnt 967 2237 Pnt 1090 2363 Pnt 1232 2493 Pnt 1385 2629 Pnt 1552 2770 Pnt 1736 2918 Pnt 1945 3070 Pnt 2197 3224 Pnt 2536 3371 Pnt 3150 3477 Pnt 936 1818 Pnt 1019 1895 Pnt 1095 1971 Pnt 1158 2041 Pnt 1191 2096 Pnt 1178 2127 Pnt 1121 2136 Pnt 1035 2131 Pnt 932 2120 Pnt 890 2149 Pnt 1001 2271 Pnt 1132 2398 Pnt 1278 2530 Pnt 1436 2669 Pnt 1608 2813 Pnt 1800 2962 Pnt 2021 3116 Pnt 2295 3270 Pnt 2692 3411 Pnt 3564 3471 Pnt 898 1763 Pnt 874 1758 Pnt 958 1835 Pnt 1040 1912 Pnt 1115 1987 Pnt 1172 2055 Pnt 1193 2105 Pnt 1167 2129 Pnt 1099 2132 Pnt 1007 2125 Pnt 899 2112 Pnt 923 2180 Pnt 1036 2306 Pnt 1176 2434 Pnt 1326 2569 Pnt 1489 2709 Pnt 1667 2856 Pnt 1868 3008 Pnt 2104 3163 Pnt 2407 3315 Pnt 2890 3444 Pnt 1047 1893 Pnt 962 1821 Pnt 876 1748 Pnt 896 1775 Pnt 981 1852 Pnt 1062 1929 Pnt 1133 2004 Pnt 1183 2068 Pnt 1192 2111 Pnt 1152 2128 Pnt 1076 2128 Pnt 978 2118 Pnt 866 2104 Pnt 957 2213 Pnt 1077 2340 Pnt 1221 2471 Pnt 1375 2608 Pnt 1543 2751 Pnt 1729 2900 Pnt 1940 3054 Pnt 2194 3209 Pnt 1193 2015 Pnt 1110 1948 Pnt 1026 1878 Pnt 940 1806 Pnt 854 1731 Pnt 919 1792 Pnt 1003 1869 Pnt 1083 1947 Pnt 1151 2020 Pnt 1192 2079 Pnt 1187 2115 Pnt 1134 2126 Pnt 1050 2122 Pnt 947 2111 Pnt 878 2124 Pnt 991 2247 Pnt 1120 2375 Pnt 1267 2509 Pnt 1426 2648 Pnt 1600 2794 Pnt 1794 2945 Pnt 1338 2131 Pnt 1256 2068 Pnt 1173 2002 Pnt 1090 1934 Pnt 1004 1864 Pnt 918 1790 Pnt 855 1731 Pnt 941 1809 Pnt 1026 1887 Pnt 1104 1964 Pnt 1166 2035 Pnt 1197 2089 Pnt 1177 2117 Pnt 1113 2123 Pnt 1022 2116 Pnt 914 2103 Pnt 911 2156 Pnt 1026 2282 Pnt 1164 2412 Pnt 1315 2548 Pnt 1480 2690 Pnt 1480 2239 Pnt 1400 2180 Pnt 1319 2119 Pnt 1237 2055 Pnt 1153 1989 Pnt 1069 1920 Pnt 983 1849 Pnt 896 1775 Pnt 878 1748 Pnt 964 1826 Pnt 1048 1905 Pnt 1123 1981 Pnt 1180 2049 Pnt 1197 2097 Pnt 1164 2118 Pnt 1090 2119 Pnt 993 2109 Pnt 880 2095 Pnt 945 2189 Pnt 1065 2317 Pnt 1209 2449 Pnt 1621 2340 Pnt 1542 2286 Pnt 1462 2229 Pnt 1382 2169 Pnt 1300 2107 Pnt 1217 2043 Pnt 1133 1976 Pnt 1048 1906 Pnt 961 1833 Pnt 874 1758 Pnt 900 1765 Pnt 987 1844 Pnt 1070 1923 Pnt 1142 1998 Pnt 1191 2062 Pnt 1194 2102 Pnt 1147 2116 Pnt 1065 2113 Pnt 962 2102 Pnt 866 2099 Pnt 980 2223 Pnt 1761 2434 Pnt 1683 2384 Pnt 1604 2331 Pnt 1525 2276 Pnt 1445 2219 Pnt 1363 2158 Pnt 1281 2096 Pnt 1197 2030 Pnt 1113 1962 Pnt 1026 1891 Pnt 939 1818 Pnt 851 1742 Pnt 923 1782 Pnt 1010 1862 Pnt 1091 1940 Pnt 1159 2014 Pnt 1198 2073 Pnt 1187 2106 Pnt 1127 2114 Pnt 1037 2107 Pnt 929 2094 Pnt 1902 2522 Pnt 1823 2476 Pnt 1745 2427 Pnt 1666 2376 Pnt 1587 2322 Pnt 1507 2266 Pnt 1426 2208 Pnt 1345 2147 Pnt 1262 2083 Pnt 1177 2017 Pnt 1092 1948 Pnt 1005 1876 Pnt 917 1802 Pnt 858 1741 Pnt 947 1800 Pnt 1033 1880 Pnt 1112 1958 Pnt 1175 2029 Pnt 1202 2082 Pnt 1175 2107 Pnt 1105 2109 Pnt 2046 2602 Pnt 1966 2560 Pnt 1887 2515 Pnt 1808 2468 Pnt 1729 2419 Pnt 1650 2367 Pnt 1570 2313 Pnt 1490 2257 Pnt 1408 2197 Pnt 1326 2135 Pnt 1242 2071 Pnt 1157 2004 Pnt 1071 1934 Pnt 983 1861 Pnt 894 1786 Pnt 881 1748 Pnt 970 1818 Pnt 1055 1898 Pnt 1132 1975 Pnt 1188 2043 Pnt 1201 2089 Pnt 2196 2675 Pnt 2113 2637 Pnt 2031 2597 Pnt 1951 2554 Pnt 1871 2509 Pnt 1792 2461 Pnt 1713 2411 Pnt 1633 2359 Pnt 1553 2304 Pnt 1472 2246 Pnt 1390 2186 Pnt 1307 2124 Pnt 1222 2058 Pnt 1136 1990 Pnt 1049 1919 Pnt 961 1846 Pnt 872 1770 Pnt 905 1755 Pnt 993 1836 Pnt 1078 1916 Pnt 1151 1992 Pnt 2355 2740 Pnt 2266 2707 Pnt 2181 2671 Pnt 2098 2632 Pnt 2016 2591 Pnt 1936 2548 Pnt 1856 2502 Pnt 1776 2454 Pnt 1696 2403 Pnt 1616 2350 Pnt 1535 2294 Pnt 1454 2236 Pnt 1371 2175 Pnt 1287 2112 Pnt 1202 2045 Pnt 1115 1976 Pnt 1028 1905 Pnt 938 1830 Pnt 849 1753 Pnt 928 1773 Pnt 1016 1854 Pnt 2530 2797 Pnt 2433 2768 Pnt 2340 2737 Pnt 2252 2703 Pnt 2166 2666 Pnt 2083 2627 Pnt 2001 2586 Pnt 1920 2542 Pnt 1840 2495 Pnt 1760 2446 Pnt 1680 2395 Pnt 1599 2341 Pnt 1518 2284 Pnt 1435 2225 Pnt 1352 2164 Pnt 1267 2099 Pnt 1182 2032 Pnt 1094 1962 Pnt 1006 1889 Pnt 916 1814 Pnt 861 1754 Pnt 2731 2843 Pnt 2618 2821 Pnt 2515 2795 Pnt 2417 2766 Pnt 2325 2734 Pnt 2237 2699 Pnt 2151 2662 Pnt 2068 2622 Pnt 1986 2580 Pnt 1905 2535 Pnt 1824 2488 Pnt 1744 2438 Pnt 1663 2386 Pnt 1582 2332 Pnt 1500 2274 Pnt 1417 2215 Pnt 1333 2152 Pnt 1248 2087 Pnt 1161 2019 Pnt 1073 1948 Pnt 983 1874 Pnt 2973 2876 Pnt 2836 2861 Pnt 2713 2842 Pnt 2602 2819 Pnt 2499 2792 Pnt 2402 2763 Pnt 2310 2730 Pnt 2222 2695 Pnt 2136 2657 Pnt 2053 2617 Pnt 1970 2574 Pnt 1889 2529 Pnt 1808 2481 Pnt 1727 2430 Pnt 1646 2378 Pnt 1564 2322 Pnt 1482 2264 Pnt 1398 2204 Pnt 1313 2140 Pnt 1227 2074 Pnt 1140 2005 Pnt 3286 2891 Pnt 3107 2887 Pnt 2953 2876 Pnt 2818 2861 Pnt 2696 2841 Pnt 2586 2817 Pnt 2483 2790 Pnt 2387 2760 Pnt 2295 2726 Pnt 2207 2691 Pnt 2121 2652 Pnt 2037 2611 Pnt 1955 2568 Pnt 1873 2522 Pnt 1792 2473 Pnt 1711 2422 Pnt 1629 2369 Pnt 1547 2313 Pnt 1464 2254 Pnt 1379 2192 Pnt 1294 2128 Pnt 3733 2874 Pnt 3472 2889 Pnt 3261 2892 Pnt 3085 2887 Pnt 2933 2876 Pnt 2799 2860 Pnt 2679 2839 Pnt 2569 2815 Pnt 2467 2787 Pnt 2371 2756 Pnt 2280 2723 Pnt 2191 2686 Pnt 2106 2647 Pnt 2022 2606 Pnt 1939 2562 Pnt 1857 2515 Pnt 1776 2466 Pnt 1694 2414 Pnt 1612 2360 Pnt 1529 2303 Pnt 1445 2243 Pnt 4470 2797 Pnt 4027 2850 Pnt 3699 2878 Pnt 3444 2891 Pnt 3237 2894 Pnt 3063 2888 Pnt 2913 2876 Pnt 2781 2859 Pnt 2662 2838 Pnt 2553 2813 Pnt 2451 2784 Pnt 2356 2753 Pnt 2264 2719 Pnt 2176 2682 Pnt 2091 2642 Pnt 2007 2600 Pnt 1924 2555 Pnt 1841 2508 Pnt 1759 2458 Pnt 1677 2406 Pnt 1594 2350 Pnt 5034 2718 Pnt 4414 2806 Pnt 3984 2855 Pnt 3665 2882 Pnt 3416 2894 Pnt 3213 2895 Pnt 3042 2889 Pnt 2894 2876 Pnt 2763 2858 Pnt 2645 2836 Pnt 2537 2811 Pnt 2436 2782 Pnt 2340 2750 Pnt 2249 2715 Pnt 2161 2677 Pnt 2075 2637 Pnt 1991 2594 Pnt 1908 2549 Pnt 1825 2501 Pnt 1743 2450 Pnt 4957 2731 Pnt 4360 2814 Pnt 3943 2861 Pnt 3632 2886 Pnt 3388 2896 Pnt 3189 2897 Pnt 3020 2889 Pnt 2875 2876 Pnt 2745 2857 Pnt 2628 2835 Pnt 2521 2808 Pnt 2420 2779 Pnt 2325 2746 Pnt 2234 2711 Pnt 2146 2672 Pnt 2060 2632 Pnt 1975 2588 Pnt 1892 2542 Pnt 1126 2011 Pnt 1176 2075 Pnt 1189 2120 Pnt 1155 2140 Pnt 1084 2142 Pnt 991 2134 Pnt 883 2121 Pnt 936 2207 Pnt 1051 2330 Pnt 1190 2458 Pnt 1339 2591 Pnt 1500 2731 Pnt 1678 2876 Pnt 1877 3026 Pnt 2111 3179 Pnt 2413 3330 Pnt 2892 3457 Pnt 4326 3411 Pnt 998 1879 Pnt 1076 1955 Pnt 1143 2027 Pnt 1185 2087 Pnt 1185 2125 Pnt 1138 2138 Pnt 1060 2137 Pnt 961 2127 Pnt 860 2120 Pnt 969 2239 Pnt 1092 2365 Pnt 1234 2495 Pnt 1388 2631 Pnt 1555 2772 Pnt 1739 2920 Pnt 1948 3072 Pnt 2201 3226 Pnt 2542 3373 Pnt 3162 3477 Pnt 853 1743 Pnt 938 1819 Pnt 1020 1896 Pnt 1097 1972 Pnt 1159 2042 Pnt 1191 2097 Pnt 1177 2128 Pnt 1119 2136 Pnt 1033 2131 Pnt 930 2120 Pnt 892 2150 Pnt 1003 2273 Pnt 1134 2400 Pnt 1281 2532 Pnt 1439 2670 Pnt 1611 2815 Pnt 1803 2964 Pnt 2025 3118 Pnt 2300 3272 Pnt 2699 3412 Pnt 3586 3470 Pnt 981 1835 Pnt 896 1762 Pnt 876 1759 Pnt 960 1836 Pnt 1042 1913 Pnt 1116 1989 Pnt 1173 2056 Pnt 1193 2105 Pnt 1166 2129 Pnt 1098 2132 Pnt 1005 2125 Pnt 897 2112 Pnt 925 2182 Pnt 1038 2307 Pnt 1178 2436 Pnt 1328 2571 Pnt 1491 2711 Pnt 1670 2858 Pnt 1871 3010 Pnt 2107 3165 Pnt 2412 3317 Pnt 1128 1960 Pnt 1045 1891 Pnt 960 1820 Pnt 874 1746 Pnt 898 1776 Pnt 982 1853 Pnt 1063 1931 Pnt 1135 2005 Pnt 1184 2069 Pnt 1192 2111 Pnt 1151 2128 Pnt 1074 2128 Pnt 976 2118 Pnt 864 2104 Pnt 958 2215 Pnt 1080 2342 Pnt 1223 2473 Pnt 1378 2610 Pnt 1546 2753 Pnt 1732 2902 Pnt 1943 3056 Pnt 1273 2078 Pnt 1191 2014 Pnt 1108 1947 Pnt 1024 1877 Pnt 938 1805 Pnt 852 1730 Pnt 920 1793 Pnt 1005 1871 Pnt 1084 1948 Pnt 1152 2021 Pnt 1192 2080 Pnt 1186 2115 Pnt 1133 2126 Pnt 1048 2122 Pnt 945 2110 Pnt 880 2126 Pnt 993 2249 Pnt 1122 2377 Pnt 1270 2511 Pnt 1429 2650 Pnt 1603 2796 Pnt 1416 2190 Pnt 1336 2129 Pnt 1254 2066 Pnt 1172 2001 Pnt 1088 1933 Pnt 1003 1862 Pnt 917 1789 Pnt 857 1733 Pnt 943 1810 Pnt 1027 1888 Pnt 1105 1965 Pnt 1167 2036 Pnt 1197 2090 Pnt 1176 2118 Pnt 1112 2123 Pnt 1020 2116 Pnt 912 2103 Pnt 913 2158 Pnt 1028 2284 Pnt 1166 2414 Pnt 1318 2549 Pnt 1557 2294 Pnt 1478 2238 Pnt 1398 2179 Pnt 1317 2118 Pnt 1235 2054 Pnt 1152 1988 Pnt 1067 1919 Pnt 981 1847 Pnt 894 1773 Pnt 879 1749 Pnt 966 1828 Pnt 1049 1906 Pnt 1125 1982 Pnt 1181 2050 Pnt 1197 2097 Pnt 1163 2118 Pnt 1089 2118 Pnt 991 2109 Pnt 878 2094 Pnt 947 2190 Pnt 1067 2319 Pnt 1697 2391 Pnt 1619 2339 Pnt 1540 2285 Pnt 1460 2228 Pnt 1380 2168 Pnt 1298 2106 Pnt 1215 2042 Pnt 1131 1974 Pnt 1046 1905 Pnt 959 1832 Pnt 872 1757 Pnt 902 1766 Pnt 989 1845 Pnt 1071 1924 Pnt 1143 1999 Pnt 1191 2063 Pnt 1194 2103 Pnt 1146 2116 Pnt 1063 2113 Pnt 960 2101 Pnt 868 2101 Pnt 1837 2481 Pnt 1759 2433 Pnt 1681 2383 Pnt 1602 2330 Pnt 1523 2275 Pnt 1443 2217 Pnt 1361 2157 Pnt 1279 2094 Pnt 1196 2029 Pnt 1111 1961 Pnt 1025 1890 Pnt 937 1817 Pnt 849 1741 Pnt 925 1784 Pnt 1012 1863 Pnt 1093 1942 Pnt 1161 2015 Pnt 1198 2074 Pnt 1186 2106 Pnt 1126 2113 Pnt 1035 2107 Pnt 1979 2565 Pnt 1900 2521 Pnt 1821 2474 Pnt 1743 2426 Pnt 1664 2375 Pnt 1585 2321 Pnt 1505 2265 Pnt 1425 2207 Pnt 1343 2146 Pnt 1260 2082 Pnt 1175 2016 Pnt 1090 1947 Pnt 1003 1875 Pnt 915 1801 Pnt 860 1741 Pnt 948 1801 Pnt 1034 1881 Pnt 1114 1959 Pnt 1176 2030 Pnt 1202 2083 Pnt 1174 2107 Pnt 2125 2641 Pnt 2044 2601 Pnt 1964 2559 Pnt 1885 2514 Pnt 1806 2467 Pnt 1727 2418 Pnt 1648 2366 Pnt 1568 2312 Pnt 1488 2255 Pnt 1406 2196 Pnt 1324 2134 Pnt 1240 2070 Pnt 1155 2002 Pnt 1069 1933 Pnt 981 1860 Pnt 893 1785 Pnt 883 1748 Pnt 972 1819 Pnt 1057 1899 Pnt 1134 1976 Pnt 1189 2044 Pnt 2279 2710 Pnt 2194 2674 Pnt 2110 2636 Pnt 2029 2596 Pnt 1949 2553 Pnt 1869 2508 Pnt 1790 2460 Pnt 1711 2410 Pnt 1631 2358 Pnt 1551 2303 Pnt 1470 2245 Pnt 1388 2185 Pnt 1305 2122 Pnt 1220 2057 Pnt 1134 1989 Pnt 1047 1918 Pnt 959 1844 Pnt 870 1768 Pnt 906 1757 Pnt 995 1837 Pnt 1079 1917 Pnt 2445 2771 Pnt 2353 2740 Pnt 2264 2706 Pnt 2179 2670 Pnt 2096 2631 Pnt 2014 2590 Pnt 1934 2547 Pnt 1854 2501 Pnt 1774 2453 Pnt 1694 2402 Pnt 1614 2349 Pnt 1534 2293 Pnt 1452 2235 Pnt 1369 2174 Pnt 1285 2110 Pnt 1200 2044 Pnt 1114 1975 Pnt 1026 1903 Pnt 937 1829 Pnt 847 1751 Pnt 930 1774 Pnt 2632 2822 Pnt 2528 2796 Pnt 2430 2768 Pnt 2338 2736 Pnt 2249 2702 Pnt 2164 2665 Pnt 2081 2626 Pnt 1999 2585 Pnt 1918 2541 Pnt 1838 2494 Pnt 1758 2445 Pnt 1678 2394 Pnt 1597 2340 Pnt 1516 2283 Pnt 1434 2224 Pnt 1350 2163 Pnt 1266 2098 Pnt 1180 2031 Pnt 1092 1961 Pnt 1004 1888 Pnt 914 1812 Pnt 2851 2862 Pnt 2727 2843 Pnt 2615 2820 Pnt 2512 2794 Pnt 2415 2765 Pnt 2323 2733 Pnt 2234 2698 Pnt 2149 2661 Pnt 2066 2621 Pnt 1984 2579 Pnt 1903 2534 Pnt 1822 2487 Pnt 1742 2437 Pnt 1661 2385 Pnt 1580 2331 Pnt 1498 2273 Pnt 1415 2213 Pnt 1331 2151 Pnt 1246 2085 Pnt 1159 2017 Pnt 1071 1946 Pnt 3124 2886 Pnt 2969 2876 Pnt 2832 2861 Pnt 2710 2842 Pnt 2599 2818 Pnt 2496 2792 Pnt 2399 2762 Pnt 2308 2729 Pnt 2219 2694 Pnt 2134 2656 Pnt 2050 2616 Pnt 1968 2573 Pnt 1887 2528 Pnt 1806 2480 Pnt 1725 2429 Pnt 1644 2377 Pnt 1562 2321 Pnt 1480 2263 Pnt 1396 2202 Pnt 1312 2139 Pnt 1225 2073 Pnt 3494 2886 Pnt 3280 2891 Pnt 3102 2887 Pnt 2949 2876 Pnt 2814 2860 Pnt 2693 2840 Pnt 2583 2816 Pnt 2480 2789 Pnt 2384 2759 Pnt 2292 2726 Pnt 2204 2690 Pnt 2119 2651 Pnt 2035 2610 Pnt 1953 2567 Pnt 1871 2521 Pnt 1790 2472 Pnt 1709 2421 Pnt 1627 2368 Pnt 1545 2311 Pnt 1462 2253 Pnt 1377 2191 Pnt 4058 2845 Pnt 3725 2875 Pnt 3465 2889 Pnt 3256 2892 Pnt 3080 2887 Pnt 2929 2876 Pnt 2796 2860 Pnt 2676 2839 Pnt 2566 2814 Pnt 2465 2786 Pnt 2369 2756 Pnt 2277 2722 Pnt 2189 2685 Pnt 2104 2646 Pnt 2020 2605 Pnt 1937 2561 Pnt 1855 2514 Pnt 1774 2465 Pnt 1692 2413 Pnt 1610 2359 Pnt 1527 2302 Pnt 5090 2708 Pnt 4454 2799 Pnt 4015 2851 Pnt 3691 2879 Pnt 3437 2892 Pnt 3231 2894 Pnt 3059 2888 Pnt 2909 2876 Pnt 2778 2859 Pnt 2659 2837 Pnt 2550 2812 Pnt 2449 2784 Pnt 2353 2752 Pnt 2262 2718 Pnt 2174 2681 Pnt 2088 2641 Pnt 2004 2599 Pnt 1922 2554 Pnt 1839 2507 Pnt 1757 2457 Pnt 1675 2404 Pnt 5011 2722 Pnt 4399 2808 Pnt 3974 2857 Pnt 3657 2883 Pnt 3409 2894 Pnt 3207 2895 Pnt 3037 2888 Pnt 2890 2876 Pnt 2760 2858 Pnt 2642 2836 Pnt 2534 2810 Pnt 2433 2781 Pnt 2338 2749 Pnt 2247 2714 Pnt 2159 2676 Pnt 2073 2636 Pnt 1989 2593 Pnt 1906 2548 Pnt 1823 2500 Pnt 1165 2063 Pnt 1189 2113 Pnt 1167 2139 Pnt 1105 2145 Pnt 1017 2140 Pnt 914 2128 Pnt 905 2177 Pnt 1016 2298 Pnt 1149 2424 Pnt 1294 2555 Pnt 1451 2692 Pnt 1622 2835 Pnt 1813 2983 Pnt 2033 3135 Pnt 2306 3287 Pnt 2703 3426 Pnt 3575 3484 Pnt 1057 1939 Pnt 1127 2012 Pnt 1177 2076 Pnt 1189 2120 Pnt 1154 2140 Pnt 1082 2141 Pnt 989 2133 Pnt 881 2121 Pnt 938 2208 Pnt 1053 2332 Pnt 1192 2460 Pnt 1341 2593 Pnt 1503 2733 Pnt 1681 2878 Pnt 1880 3028 Pnt 2115 3181 Pnt 2418 3332 Pnt 2901 3458 Pnt 4371 3405 Pnt 917 1804 Pnt 1000 1880 Pnt 1078 1956 Pnt 1144 2028 Pnt 1186 2087 Pnt 1185 2125 Pnt 1137 2138 Pnt 1058 2136 Pnt 959 2126 Pnt 862 2121 Pnt 971 2241 Pnt 1094 2366 Pnt 1237 2496 Pnt 1390 2632 Pnt 1557 2774 Pnt 1742 2922 Pnt 1952 3074 Pnt 2205 3227 Pnt 2548 3374 Pnt 3175 3478 Pnt 916 1776 Pnt 855 1744 Pnt 940 1820 Pnt 1022 1897 Pnt 1098 1973 Pnt 1160 2043 Pnt 1191 2097 Pnt 1177 2128 Pnt 1118 2136 Pnt 1032 2131 Pnt 928 2119 Pnt 894 2152 Pnt 1005 2275 Pnt 1137 2402 Pnt 1283 2534 Pnt 1441 2672 Pnt 1614 2817 Pnt 1806 2966 Pnt 2028 3120 Pnt 2304 3273 Pnt 2706 3414 Pnt 1064 1904 Pnt 980 1834 Pnt 895 1761 Pnt 877 1761 Pnt 962 1837 Pnt 1043 1915 Pnt 1117 1990 Pnt 1173 2057 Pnt 1193 2106 Pnt 1165 2129 Pnt 1097 2132 Pnt 1004 2124 Pnt 896 2111 Pnt 927 2184 Pnt 1041 2309 Pnt 1180 2438 Pnt 1331 2572 Pnt 1494 2713 Pnt 1673 2860 Pnt 1874 3012 Pnt 2111 3166 Pnt 1209 2025 Pnt 1127 1959 Pnt 1043 1890 Pnt 958 1819 Pnt 873 1745 Pnt 900 1777 Pnt 984 1855 Pnt 1065 1932 Pnt 1136 2006 Pnt 1184 2070 Pnt 1192 2112 Pnt 1150 2128 Pnt 1073 2127 Pnt 974 2117 Pnt 862 2103 Pnt 960 2217 Pnt 1082 2344 Pnt 1225 2475 Pnt 1380 2612 Pnt 1549 2755 Pnt 1735 2904 Pnt 1352 2139 Pnt 1272 2077 Pnt 1190 2013 Pnt 1106 1945 Pnt 1022 1876 Pnt 937 1803 Pnt 850 1729 Pnt 922 1794 Pnt 1007 1872 Pnt 1086 1949 Pnt 1153 2022 Pnt 1192 2081 Pnt 1186 2116 Pnt 1132 2126 Pnt 1047 2122 Pnt 943 2110 Pnt 882 2127 Pnt 995 2251 Pnt 1124 2379 Pnt 1272 2513 Pnt 1432 2652 Pnt 1494 2246 Pnt 1414 2188 Pnt 1334 2128 Pnt 1253 2065 Pnt 1170 2000 Pnt 1086 1932 Pnt 1001 1861 Pnt 915 1788 Pnt 859 1734 Pnt 945 1811 Pnt 1029 1890 Pnt 1106 1967 Pnt 1168 2037 Pnt 1197 2090 Pnt 1176 2118 Pnt 1111 2123 Pnt 1019 2115 Pnt 910 2102 Pnt 915 2159 Pnt 1030 2285 Pnt 1168 2415 Pnt 1633 2346 Pnt 1555 2293 Pnt 1476 2236 Pnt 1396 2178 Pnt 1315 2117 Pnt 1233 2053 Pnt 1150 1987 Pnt 1065 1918 Pnt 979 1846 Pnt 893 1772 Pnt 881 1751 Pnt 968 1829 Pnt 1051 1907 Pnt 1126 1984 Pnt 1182 2051 Pnt 1197 2098 Pnt 1162 2118 Pnt 1087 2118 Pnt 989 2108 Pnt 876 2094 Pnt 949 2192 Pnt 1773 2440 Pnt 1695 2390 Pnt 1617 2338 Pnt 1538 2283 Pnt 1459 2226 Pnt 1378 2167 Pnt 1296 2105 Pnt 1214 2040 Pnt 1129 1973 Pnt 1044 1903 Pnt 958 1831 Pnt 870 1756 Pnt 904 1768 Pnt 990 1847 Pnt 1073 1925 Pnt 1145 2000 Pnt 1192 2063 Pnt 1194 2103 Pnt 1145 2116 Pnt 1061 2113 Pnt 958 2101 Pnt 1913 2526 Pnt 1835 2480 Pnt 1757 2432 Pnt 1679 2382 Pnt 1600 2329 Pnt 1521 2274 Pnt 1441 2216 Pnt 1360 2156 Pnt 1277 2093 Pnt 1194 2028 Pnt 1109 1959 Pnt 1023 1889 Pnt 936 1815 Pnt 848 1739 Pnt 927 1785 Pnt 1013 1864 Pnt 1094 1943 Pnt 1162 2016 Pnt 1199 2074 Pnt 1185 2106 Pnt 1124 2113 Pnt 2057 2606 Pnt 1977 2564 Pnt 1898 2520 Pnt 1820 2473 Pnt 1741 2425 Pnt 1663 2374 Pnt 1583 2320 Pnt 1504 2264 Pnt 1423 2206 Pnt 1341 2145 Pnt 1258 2081 Pnt 1174 2015 Pnt 1088 1945 Pnt 1001 1874 Pnt 913 1799 Pnt 862 1742 Pnt 950 1803 Pnt 1036 1882 Pnt 1115 1960 Pnt 1177 2031 Pnt 1202 2083 Pnt 2206 2678 Pnt 2123 2640 Pnt 2042 2600 Pnt 1962 2558 Pnt 1883 2513 Pnt 1804 2466 Pnt 1725 2417 Pnt 1646 2365 Pnt 1566 2311 Pnt 1486 2254 Pnt 1405 2195 Pnt 1322 2133 Pnt 1238 2068 Pnt 1153 2001 Pnt 1067 1931 Pnt 979 1858 Pnt 891 1783 Pnt 885 1749 Pnt 973 1820 Pnt 1059 1900 Pnt 1135 1978 Pnt 2365 2742 Pnt 2277 2709 Pnt 2191 2673 Pnt 2108 2635 Pnt 2027 2595 Pnt 1947 2552 Pnt 1867 2507 Pnt 1788 2459 Pnt 1709 2409 Pnt 1629 2356 Pnt 1549 2302 Pnt 1468 2244 Pnt 1386 2184 Pnt 1303 2121 Pnt 1218 2056 Pnt 1133 1988 Pnt 1045 1917 Pnt 957 1843 Pnt 868 1767 Pnt 908 1758 Pnt 997 1838 Pnt 2541 2798 Pnt 2443 2770 Pnt 2350 2739 Pnt 2262 2705 Pnt 2177 2669 Pnt 2093 2630 Pnt 2012 2589 Pnt 1932 2546 Pnt 1852 2500 Pnt 1772 2452 Pnt 1692 2401 Pnt 1612 2348 Pnt 1532 2292 Pnt 1450 2234 Pnt 1367 2173 Pnt 1283 2109 Pnt 1198 2043 Pnt 1112 1974 Pnt 1024 1902 Pnt 935 1827 Pnt 846 1750 Pnt 2741 2843 Pnt 2629 2821 Pnt 2525 2796 Pnt 2427 2767 Pnt 2335 2736 Pnt 2247 2701 Pnt 2162 2665 Pnt 2079 2625 Pnt 1997 2584 Pnt 1916 2540 Pnt 1836 2493 Pnt 1756 2444 Pnt 1676 2393 Pnt 1595 2339 Pnt 1514 2282 Pnt 1432 2223 Pnt 1348 2161 Pnt 1264 2097 Pnt 1178 2030 Pnt 1090 1959 Pnt 1002 1887 Pnt 2984 2876 Pnt 2847 2861 Pnt 2724 2842 Pnt 2612 2819 Pnt 2509 2793 Pnt 2412 2764 Pnt 2320 2732 Pnt 2232 2697 Pnt 2147 2660 Pnt 2063 2620 Pnt 1982 2578 Pnt 1901 2533 Pnt 1820 2486 Pnt 1740 2436 Pnt 1659 2384 Pnt 1578 2329 Pnt 1496 2272 Pnt 1413 2212 Pnt 1329 2150 Pnt 1244 2084 Pnt 1157 2016 Pnt 3300 2889 Pnt 3119 2886 Pnt 2964 2876 Pnt 2829 2861 Pnt 2707 2841 Pnt 2596 2818 Pnt 2493 2791 Pnt 2397 2761 Pnt 2305 2729 Pnt 2217 2693 Pnt 2132 2655 Pnt 2048 2615 Pnt 1966 2572 Pnt 1885 2527 Pnt 1804 2479 Pnt 1723 2428 Pnt 1642 2375 Pnt 1561 2320 Pnt 1478 2262 Pnt 1394 2201 Pnt 1310 2138 Pnt 3751 2871 Pnt 3487 2887 Pnt 3275 2891 Pnt 3097 2886 Pnt 2945 2876 Pnt 2810 2860 Pnt 2690 2840 Pnt 2580 2816 Pnt 2478 2788 Pnt 2381 2758 Pnt 2290 2725 Pnt 2202 2689 Pnt 2117 2650 Pnt 2033 2609 Pnt 1951 2566 Pnt 1869 2520 Pnt 1788 2471 Pnt 1707 2420 Pnt 1625 2366 Pnt 1543 2310 Pnt 1460 2251 Pnt 4495 2792 Pnt 4047 2846 Pnt 3716 2876 Pnt 3459 2889 Pnt 3250 2892 Pnt 3075 2887 Pnt 2925 2876 Pnt 2792 2859 Pnt 2673 2838 Pnt 2564 2814 Pnt 2462 2786 Pnt 2366 2755 Pnt 2275 2721 Pnt 2187 2685 Pnt 2101 2645 Pnt 2018 2604 Pnt 1935 2560 Pnt 1853 2513 Pnt 1772 2464 Pnt 1690 2412 Pnt 1608 2357 Pnt 5066 2712 Pnt 4438 2801 Pnt 4004 2852 Pnt 3682 2880 Pnt 3430 2892 Pnt 3226 2894 Pnt 3054 2888 Pnt 2905 2876 Pnt 2774 2858 Pnt 2656 2837 Pnt 2547 2812 Pnt 2446 2783 Pnt 2351 2752 Pnt 2260 2717 Pnt 2172 2680 Pnt 2086 2640 Pnt 2002 2598 Pnt 1920 2553 Pnt 1837 2506 Pnt 1755 2456 Pnt 1186 2105 Pnt 1176 2138 Pnt 1124 2148 Pnt 1042 2145 Pnt 943 2135 Pnt 875 2148 Pnt 984 2267 Pnt 1109 2391 Pnt 1250 2520 Pnt 1403 2655 Pnt 1568 2795 Pnt 1752 2941 Pnt 1960 3092 Pnt 2212 3243 Pnt 2553 3388 Pnt 3174 3490 Pnt 1110 1997 Pnt 1166 2064 Pnt 1189 2114 Pnt 1166 2139 Pnt 1103 2145 Pnt 1016 2139 Pnt 912 2128 Pnt 907 2178 Pnt 1017 2300 Pnt 1151 2426 Pnt 1296 2557 Pnt 1453 2694 Pnt 1625 2837 Pnt 1816 2985 Pnt 2036 3137 Pnt 2311 3289 Pnt 2710 3427 Pnt 3596 3482 Pnt 980 1864 Pnt 1059 1940 Pnt 1128 2013 Pnt 1178 2077 Pnt 1189 2120 Pnt 1153 2140 Pnt 1081 2141 Pnt 987 2133 Pnt 879 2120 Pnt 940 2210 Pnt 1056 2334 Pnt 1194 2462 Pnt 1344 2595 Pnt 1506 2735 Pnt 1683 2880 Pnt 1883 3030 Pnt 2119 3183 Pnt 2423 3333 Pnt 2910 3459 Pnt 4418 3399 Pnt 852 1738 Pnt 919 1805 Pnt 1002 1881 Pnt 1079 1957 Pnt 1145 2029 Pnt 1186 2088 Pnt 1184 2125 Pnt 1136 2138 Pnt 1057 2136 Pnt 958 2126 Pnt 864 2123 Pnt 973 2243 Pnt 1097 2368 Pnt 1239 2498 Pnt 1393 2634 Pnt 1560 2776 Pnt 1745 2924 Pnt 1955 3076 Pnt 2209 3229 Pnt 2554 3376 Pnt 3189 3478 Pnt 999 1847 Pnt 914 1775 Pnt 857 1746 Pnt 941 1822 Pnt 1023 1899 Pnt 1099 1974 Pnt 1161 2044 Pnt 1192 2098 Pnt 1176 2128 Pnt 1117 2136 Pnt 1030 2130 Pnt 926 2119 Pnt 896 2154 Pnt 1007 2276 Pnt 1139 2403 Pnt 1285 2536 Pnt 1444 2674 Pnt 1617 2819 Pnt 1809 2968 Pnt 2032 3122 Pnt 2309 3275 Pnt 1145 1971 Pnt 1062 1903 Pnt 978 1832 Pnt 893 1759 Pnt 879 1762 Pnt 964 1839 Pnt 1045 1916 Pnt 1119 1991 Pnt 1174 2058 Pnt 1193 2106 Pnt 1164 2129 Pnt 1095 2132 Pnt 1002 2124 Pnt 894 2111 Pnt 929 2186 Pnt 1043 2311 Pnt 1183 2440 Pnt 1333 2574 Pnt 1497 2715 Pnt 1676 2862 Pnt 1877 3014 Pnt 1289 2088 Pnt 1207 2024 Pnt 1125 1958 Pnt 1041 1889 Pnt 956 1817 Pnt 871 1743 Pnt 901 1779 Pnt 986 1856 Pnt 1066 1933 Pnt 1137 2007 Pnt 1185 2070 Pnt 1191 2112 Pnt 1149 2128 Pnt 1071 2127 Pnt 972 2117 Pnt 860 2103 Pnt 962 2219 Pnt 1084 2345 Pnt 1228 2477 Pnt 1383 2614 Pnt 1551 2757 Pnt 1430 2198 Pnt 1351 2138 Pnt 1270 2076 Pnt 1188 2011 Pnt 1105 1944 Pnt 1020 1874 Pnt 935 1802 Pnt 849 1727 Pnt 924 1796 Pnt 1008 1874 Pnt 1087 1951 Pnt 1154 2023 Pnt 1193 2082 Pnt 1185 2116 Pnt 1130 2126 Pnt 1045 2121 Pnt 941 2109 Pnt 884 2129 Pnt 997 2252 Pnt 1127 2381 Pnt 1275 2514 Pnt 1570 2301 Pnt 1492 2245 Pnt 1413 2187 Pnt 1332 2127 Pnt 1251 2064 Pnt 1168 1998 Pnt 1084 1930 Pnt 999 1860 Pnt 913 1786 Pnt 860 1735 Pnt 947 1813 Pnt 1030 1891 Pnt 1108 1968 Pnt 1169 2038 Pnt 1197 2091 Pnt 1175 2118 Pnt 1109 2122 Pnt 1017 2115 Pnt 908 2102 Pnt 917 2161 Pnt 1032 2287 Pnt 1709 2397 Pnt 1632 2345 Pnt 1553 2292 Pnt 1474 2235 Pnt 1395 2177 Pnt 1314 2115 Pnt 1231 2052 Pnt 1148 1985 Pnt 1063 1916 Pnt 977 1845 Pnt 891 1770 Pnt 883 1752 Pnt 969 1830 Pnt 1053 1909 Pnt 1127 1985 Pnt 1182 2052 Pnt 1197 2098 Pnt 1161 2118 Pnt 1086 2118 Pnt 987 2108 Pnt 874 2093 Pnt 1849 2486 Pnt 1771 2439 Pnt 1693 2389 Pnt 1615 2337 Pnt 1536 2282 Pnt 1457 2225 Pnt 1376 2166 Pnt 1295 2104 Pnt 1212 2039 Pnt 1128 1972 Pnt 1042 1902 Pnt 956 1829 Pnt 868 1754 Pnt 906 1769 Pnt 992 1848 Pnt 1074 1927 Pnt 1146 2001 Pnt 1192 2064 Pnt 1193 2103 Pnt 1143 2116 Pnt 1060 2112 Pnt 1990 2569 Pnt 1911 2525 Pnt 1833 2479 Pnt 1755 2431 Pnt 1677 2381 Pnt 1598 2328 Pnt 1519 2273 Pnt 1439 2215 Pnt 1358 2155 Pnt 1275 2092 Pnt 1192 2026 Pnt 1107 1958 Pnt 1021 1887 Pnt 934 1814 Pnt 846 1738 Pnt 929 1786 Pnt 1015 1866 Pnt 1096 1944 Pnt 1163 2017 Pnt 1199 2075 Pnt 1185 2106 Pnt 2136 2644 Pnt 2055 2605 Pnt 1975 2563 Pnt 1896 2519 Pnt 1818 2472 Pnt 1739 2424 Pnt 1661 2372 Pnt 1582 2319 Pnt 1502 2263 Pnt 1421 2204 Pnt 1339 2143 Pnt 1256 2080 Pnt 1172 2013 Pnt 1086 1944 Pnt 999 1872 Pnt 911 1798 Pnt 864 1742 Pnt 952 1804 Pnt 1038 1884 Pnt 1116 1962 Pnt 1178 2032 Pnt 2289 2712 Pnt 2204 2677 Pnt 2121 2639 Pnt 2040 2599 Pnt 1960 2557 Pnt 1881 2512 Pnt 1802 2465 Pnt 1723 2416 Pnt 1644 2364 Pnt 1564 2310 Pnt 1484 2253 Pnt 1403 2194 Pnt 1320 2132 Pnt 1236 2067 Pnt 1151 2000 Pnt 1065 1930 Pnt 977 1857 Pnt 889 1782 Pnt 887 1749 Pnt 975 1822 Pnt 1060 1902 Pnt 2456 2772 Pnt 2363 2741 Pnt 2274 2708 Pnt 2189 2673 Pnt 2106 2634 Pnt 2025 2594 Pnt 1945 2551 Pnt 1865 2506 Pnt 1786 2458 Pnt 1707 2408 Pnt 1627 2355 Pnt 1547 2300 Pnt 1466 2243 Pnt 1384 2183 Pnt 1301 2120 Pnt 1217 2054 Pnt 1131 1986 Pnt 1044 1915 Pnt 955 1842 Pnt 866 1765 Pnt 910 1760 Pnt 2642 2822 Pnt 2538 2797 Pnt 2440 2769 Pnt 2348 2738 Pnt 2260 2704 Pnt 2174 2668 Pnt 2091 2630 Pnt 2010 2588 Pnt 1930 2545 Pnt 1850 2499 Pnt 1770 2451 Pnt 1691 2400 Pnt 1610 2346 Pnt 1530 2291 Pnt 1448 2232 Pnt 1365 2171 Pnt 1282 2108 Pnt 1196 2041 Pnt 1110 1972 Pnt 1022 1900 Pnt 933 1826 Pnt 2862 2861 Pnt 2738 2843 Pnt 2626 2821 Pnt 2522 2795 Pnt 2425 2766 Pnt 2333 2735 Pnt 2245 2701 Pnt 2160 2664 Pnt 2076 2624 Pnt 1995 2583 Pnt 1914 2539 Pnt 1834 2492 Pnt 1754 2443 Pnt 1674 2391 Pnt 1593 2337 Pnt 1512 2281 Pnt 1430 2222 Pnt 1346 2160 Pnt 1262 2095 Pnt 1176 2028 Pnt 1089 1958 Pnt 3136 2885 Pnt 2980 2875 Pnt 2843 2861 Pnt 2721 2842 Pnt 2609 2819 Pnt 2506 2793 Pnt 2410 2763 Pnt 2318 2731 Pnt 2230 2697 Pnt 2145 2659 Pnt 2061 2619 Pnt 1980 2577 Pnt 1899 2532 Pnt 1818 2485 Pnt 1738 2435 Pnt 1657 2383 Pnt 1576 2328 Pnt 1494 2271 Pnt 1411 2211 Pnt 1327 2148 Pnt 1242 2083 Pnt 3509 2884 Pnt 3294 2889 Pnt 3114 2885 Pnt 2960 2875 Pnt 2825 2860 Pnt 2704 2841 Pnt 2593 2817 Pnt 2491 2790 Pnt 2394 2760 Pnt 2303 2728 Pnt 2215 2692 Pnt 2130 2654 Pnt 2046 2614 Pnt 1964 2571 Pnt 1883 2525 Pnt 1802 2478 Pnt 1721 2427 Pnt 1640 2374 Pnt 1559 2319 Pnt 1476 2261 Pnt 1393 2200 Pnt 4079 2841 Pnt 3742 2872 Pnt 3480 2887 Pnt 3269 2891 Pnt 3092 2886 Pnt 2941 2875 Pnt 2807 2859 Pnt 2687 2839 Pnt 2577 2815 Pnt 2475 2788 Pnt 2379 2757 Pnt 2288 2724 Pnt 2200 2688 Pnt 2114 2650 Pnt 2031 2608 Pnt 1949 2565 Pnt 1867 2519 Pnt 1786 2470 Pnt 1705 2419 Pnt 1623 2365 Pnt 1541 2309 Pnt 5123 2701 Pnt 4479 2794 Pnt 4035 2847 Pnt 3707 2876 Pnt 3452 2890 Pnt 3245 2892 Pnt 3071 2887 Pnt 2921 2875 Pnt 2789 2859 Pnt 2670 2838 Pnt 2561 2813 Pnt 2459 2785 Pnt 2364 2754 Pnt 2272 2720 Pnt 2185 2684 Pnt 2099 2644 Pnt 2016 2603 Pnt 1933 2559 Pnt 1851 2512 Pnt 1770 2462 Pnt 1688 2411 Pnt 1182 2134 Pnt 1140 2150 Pnt 1066 2150 Pnt 971 2142 Pnt 863 2129 Pnt 952 2236 Pnt 1070 2359 Pnt 1208 2485 Pnt 1356 2618 Pnt 1517 2756 Pnt 1694 2900 Pnt 1892 3048 Pnt 2126 3200 Pnt 2429 3348 Pnt 2912 3472 Pnt 4377 3417 Pnt 1153 2051 Pnt 1186 2106 Pnt 1175 2138 Pnt 1122 2148 Pnt 1041 2145 Pnt 941 2135 Pnt 877 2149 Pnt 986 2269 Pnt 1111 2393 Pnt 1252 2522 Pnt 1405 2656 Pnt 1571 2797 Pnt 1755 2943 Pnt 1964 3093 Pnt 2216 3245 Pnt 2559 3390 Pnt 3187 3491 Pnt 1039 1925 Pnt 1111 1998 Pnt 1167 2065 Pnt 1189 2114 Pnt 1165 2140 Pnt 1102 2145 Pnt 1014 2139 Pnt 910 2127 Pnt 909 2180 Pnt 1019 2302 Pnt 1153 2428 Pnt 1299 2559 Pnt 1456 2696 Pnt 1627 2839 Pnt 1819 2987 Pnt 2040 3139 Pnt 2315 3291 Pnt 2717 3428 Pnt 3618 3481 Pnt 899 1790 Pnt 981 1866 Pnt 1060 1942 Pnt 1130 2014 Pnt 1178 2077 Pnt 1188 2121 Pnt 1152 2140 Pnt 1080 2141 Pnt 986 2133 Pnt 877 2120 Pnt 942 2212 Pnt 1058 2336 Pnt 1197 2463 Pnt 1346 2597 Pnt 1508 2737 Pnt 1686 2882 Pnt 1886 3032 Pnt 2122 3185 Pnt 2428 3335 Pnt 2919 3460 Pnt 4467 3392 Pnt 934 1789 Pnt 850 1737 Pnt 921 1806 Pnt 1003 1883 Pnt 1081 1959 Pnt 1147 2030 Pnt 1187 2089 Pnt 1184 2125 Pnt 1135 2138 Pnt 1055 2136 Pnt 956 2126 Pnt 865 2125 Pnt 975 2245 Pnt 1099 2370 Pnt 1241 2500 Pnt 1395 2636 Pnt 1563 2778 Pnt 1748 2926 Pnt 1958 3078 Pnt 2213 3231 Pnt 2560 3377 Pnt 1080 1915 Pnt 997 1846 Pnt 913 1774 Pnt 859 1747 Pnt 943 1823 Pnt 1025 1900 Pnt 1101 1976 Pnt 1162 2045 Pnt 1192 2099 Pnt 1175 2128 Pnt 1116 2135 Pnt 1028 2130 Pnt 924 2118 Pnt 897 2156 Pnt 1009 2278 Pnt 1141 2405 Pnt 1288 2538 Pnt 1446 2676 Pnt 1619 2821 Pnt 1812 2970 Pnt 2035 3124 Pnt 1225 2035 Pnt 1143 1970 Pnt 1060 1901 Pnt 976 1831 Pnt 891 1758 Pnt 881 1763 Pnt 965 1840 Pnt 1047 1917 Pnt 1120 1992 Pnt 1175 2059 Pnt 1193 2107 Pnt 1163 2129 Pnt 1094 2131 Pnt 1000 2123 Pnt 892 2110 Pnt 930 2187 Pnt 1045 2313 Pnt 1185 2441 Pnt 1336 2576 Pnt 1499 2717 Pnt 1679 2864 Pnt 1367 2148 Pnt 1287 2087 Pnt 1206 2023 Pnt 1123 1956 Pnt 1039 1887 Pnt 955 1816 Pnt 869 1742 Pnt 903 1780 Pnt 988 1857 Pnt 1068 1935 Pnt 1138 2008 Pnt 1186 2071 Pnt 1191 2112 Pnt 1148 2128 Pnt 1069 2127 Pnt 970 2116 Pnt 858 2102 Pnt 964 2220 Pnt 1086 2347 Pnt 1230 2478 Pnt 1385 2616 Pnt 1507 2254 Pnt 1429 2197 Pnt 1349 2137 Pnt 1268 2075 Pnt 1186 2010 Pnt 1103 1943 Pnt 1018 1873 Pnt 933 1801 Pnt 847 1726 Pnt 926 1797 Pnt 1010 1875 Pnt 1089 1952 Pnt 1155 2024 Pnt 1193 2082 Pnt 1184 2116 Pnt 1129 2126 Pnt 1043 2121 Pnt 939 2109 Pnt 886 2131 Pnt 999 2254 Pnt 1129 2383 Pnt 1646 2353 Pnt 1568 2300 Pnt 1490 2244 Pnt 1411 2186 Pnt 1330 2126 Pnt 1249 2063 Pnt 1166 1997 Pnt 1082 1929 Pnt 997 1858 Pnt 911 1785 Pnt 862 1737 Pnt 948 1814 Pnt 1032 1893 Pnt 1109 1969 Pnt 1170 2039 Pnt 1197 2092 Pnt 1174 2118 Pnt 1108 2122 Pnt 1015 2114 Pnt 906 2101 Pnt 919 2163 Pnt 1785 2445 Pnt 1707 2396 Pnt 1630 2344 Pnt 1552 2290 Pnt 1473 2234 Pnt 1393 2175 Pnt 1312 2114 Pnt 1230 2050 Pnt 1146 1984 Pnt 1061 1915 Pnt 976 1843 Pnt 889 1769 Pnt 885 1754 Pnt 971 1832 Pnt 1054 1910 Pnt 1129 1986 Pnt 1183 2053 Pnt 1197 2099 Pnt 1160 2118 Pnt 1084 2117 Pnt 985 2107 Pnt 1924 2530 Pnt 1847 2485 Pnt 1769 2438 Pnt 1691 2388 Pnt 1613 2336 Pnt 1534 2281 Pnt 1455 2224 Pnt 1374 2165 Pnt 1293 2102 Pnt 1210 2038 Pnt 1126 1970 Pnt 1040 1901 Pnt 954 1828 Pnt 867 1753 Pnt 908 1771 Pnt 994 1849 Pnt 1076 1928 Pnt 1147 2003 Pnt 1193 2065 Pnt 1193 2104 Pnt 1142 2116 Pnt 2067 2609 Pnt 1988 2568 Pnt 1909 2524 Pnt 1831 2478 Pnt 1753 2430 Pnt 1675 2380 Pnt 1597 2327 Pnt 1517 2272 Pnt 1437 2214 Pnt 1356 2153 Pnt 1274 2090 Pnt 1190 2025 Pnt 1105 1957 Pnt 1019 1886 Pnt 932 1812 Pnt 844 1736 Pnt 931 1788 Pnt 1017 1867 Pnt 1097 1946 Pnt 1164 2018 Pnt 1199 2076 Pnt 2216 2680 Pnt 2134 2643 Pnt 2053 2604 Pnt 1973 2562 Pnt 1894 2518 Pnt 1816 2471 Pnt 1737 2423 Pnt 1659 2371 Pnt 1580 2318 Pnt 1500 2262 Pnt 1419 2203 Pnt 1337 2142 Pnt 1254 2078 Pnt 1170 2012 Pnt 1084 1943 Pnt 997 1871 Pnt 910 1797 Pnt 866 1743 Pnt 954 1805 Pnt 1039 1885 Pnt 1118 1963 Pnt 2375 2744 Pnt 2287 2711 Pnt 2202 2676 Pnt 2119 2638 Pnt 2038 2598 Pnt 1958 2556 Pnt 1879 2511 Pnt 1800 2464 Pnt 1721 2415 Pnt 1642 2363 Pnt 1563 2309 Pnt 1482 2252 Pnt 1401 2192 Pnt 1318 2130 Pnt 1235 2066 Pnt 1150 1999 Pnt 1063 1928 Pnt 976 1856 Pnt 887 1780 Pnt 889 1750 Pnt 977 1823 Pnt 2551 2799 Pnt 2453 2771 Pnt 2360 2741 Pnt 2272 2707 Pnt 2187 2672 Pnt 2104 2634 Pnt 2023 2593 Pnt 1943 2550 Pnt 1863 2505 Pnt 1784 2457 Pnt 1705 2407 Pnt 1625 2354 Pnt 1545 2299 Pnt 1464 2242 Pnt 1382 2181 Pnt 1299 2119 Pnt 1215 2053 Pnt 1129 1985 Pnt 1042 1914 Pnt 953 1840 Pnt 864 1764 Pnt 2752 2843 Pnt 2639 2822 Pnt 2535 2797 Pnt 2438 2768 Pnt 2346 2737 Pnt 2257 2704 Pnt 2172 2667 Pnt 2089 2629 Pnt 2008 2587 Pnt 1928 2544 Pnt 1848 2498 Pnt 1768 2449 Pnt 1689 2399 Pnt 1609 2345 Pnt 1528 2290 Pnt 1446 2231 Pnt 1364 2170 Pnt 1280 2107 Pnt 1194 2040 Pnt 1108 1971 Pnt 1020 1899 Pnt 2996 2875 Pnt 2858 2861 Pnt 2735 2842 Pnt 2623 2820 Pnt 2519 2794 Pnt 2422 2766 Pnt 2331 2734 Pnt 2242 2700 Pnt 2157 2663 Pnt 2074 2624 Pnt 1993 2582 Pnt 1912 2538 Pnt 1832 2491 Pnt 1752 2442 Pnt 1672 2390 Pnt 1592 2336 Pnt 1510 2280 Pnt 1428 2221 Pnt 1345 2159 Pnt 1260 2094 Pnt 1174 2027 Pnt 3313 2887 Pnt 3132 2884 Pnt 2976 2875 Pnt 2840 2860 Pnt 2718 2841 Pnt 2607 2818 Pnt 2504 2792 Pnt 2407 2763 Pnt 2315 2731 Pnt 2228 2696 Pnt 2142 2658 Pnt 2059 2618 Pnt 1978 2576 Pnt 1897 2531 Pnt 1816 2484 Pnt 1736 2434 Pnt 1655 2382 Pnt 1574 2327 Pnt 1492 2270 Pnt 1409 2210 Pnt 1325 2147 Pnt 3768 2868 Pnt 3502 2884 Pnt 3288 2889 Pnt 3110 2885 Pnt 2956 2875 Pnt 2821 2860 Pnt 2701 2840 Pnt 2590 2816 Pnt 2488 2790 Pnt 2392 2760 Pnt 2300 2727 Pnt 2213 2691 Pnt 2127 2653 Pnt 2044 2613 Pnt 1962 2570 Pnt 1881 2524 Pnt 1800 2476 Pnt 1720 2426 Pnt 1638 2373 Pnt 1557 2318 Pnt 1474 2259 Pnt 4520 2787 Pnt 4067 2842 Pnt 3733 2873 Pnt 3474 2887 Pnt 3264 2891 Pnt 3088 2886 Pnt 2937 2875 Pnt 2803 2859 Pnt 2684 2839 Pnt 2574 2815 Pnt 2472 2787 Pnt 2376 2757 Pnt 2285 2723 Pnt 2198 2687 Pnt 2112 2649 Pnt 2029 2607 Pnt 1947 2564 Pnt 1865 2518 Pnt 1784 2469 Pnt 1703 2418 Pnt 1621 2364 Pnt 1154 2151 Pnt 1087 2154 Pnt 998 2148 Pnt 894 2136 Pnt 922 2206 Pnt 1033 2327 Pnt 1167 2451 Pnt 1311 2582 Pnt 1467 2718 Pnt 1638 2859 Pnt 1828 3006 Pnt 2048 3156 Pnt 2322 3306 Pnt 2721 3442 Pnt 3607 3495 Pnt 1180 2096 Pnt 1182 2134 Pnt 1139 2150 Pnt 1064 2150 Pnt 969 2141 Pnt 861 2129 Pnt 954 2238 Pnt 1072 2360 Pnt 1210 2487 Pnt 1359 2620 Pnt 1520 2758 Pnt 1696 2902 Pnt 1895 3050 Pnt 2130 3202 Pnt 2434 3350 Pnt 2921 3473 Pnt 4423 3411 Pnt 1094 1983 Pnt 1154 2052 Pnt 1186 2106 Pnt 1175 2138 Pnt 1121 2148 Pnt 1039 2145 Pnt 939 2134 Pnt 879 2151 Pnt 987 2270 Pnt 1113 2394 Pnt 1255 2523 Pnt 1408 2658 Pnt 1574 2799 Pnt 1757 2945 Pnt 1967 3095 Pnt 2220 3247 Pnt 2565 3391 Pnt 3200 3491 Pnt 961 1850 Pnt 1041 1926 Pnt 1113 2000 Pnt 1168 2066 Pnt 1189 2115 Pnt 1165 2140 Pnt 1101 2145 Pnt 1012 2139 Pnt 908 2127 Pnt 911 2182 Pnt 1021 2304 Pnt 1155 2429 Pnt 1301 2561 Pnt 1458 2698 Pnt 1630 2841 Pnt 1822 2989 Pnt 2043 3141 Pnt 2320 3292 Pnt 2724 3430 Pnt 3641 3479 Pnt 870 1744 Pnt 900 1791 Pnt 983 1867 Pnt 1062 1943 Pnt 1131 2016 Pnt 1179 2078 Pnt 1188 2121 Pnt 1151 2140 Pnt 1078 2140 Pnt 984 2132 Pnt 875 2119 Pnt 943 2214 Pnt 1060 2338 Pnt 1199 2465 Pnt 1349 2599 Pnt 1511 2739 Pnt 1689 2884 Pnt 1890 3034 Pnt 2126 3187 Pnt 2433 3337 Pnt 2929 3461 Pnt 1016 1859 Pnt 932 1788 Pnt 848 1737 Pnt 923 1808 Pnt 1005 1884 Pnt 1082 1960 Pnt 1148 2031 Pnt 1187 2090 Pnt 1183 2126 Pnt 1134 2138 Pnt 1053 2135 Pnt 954 2125 Pnt 867 2126 Pnt 977 2246 Pnt 1101 2372 Pnt 1244 2502 Pnt 1398 2638 Pnt 1565 2780 Pnt 1751 2928 Pnt 1962 3080 Pnt 2217 3233 Pnt 1161 1981 Pnt 1079 1914 Pnt 995 1844 Pnt 911 1772 Pnt 860 1748 Pnt 945 1824 Pnt 1027 1901 Pnt 1102 1977 Pnt 1163 2046 Pnt 1192 2099 Pnt 1175 2128 Pnt 1114 2135 Pnt 1027 2130 Pnt 923 2118 Pnt 899 2157 Pnt 1011 2280 Pnt 1143 2407 Pnt 1290 2540 Pnt 1449 2678 Pnt 1622 2822 Pnt 1815 2972 Pnt 1304 2097 Pnt 1223 2034 Pnt 1141 1968 Pnt 1058 1900 Pnt 974 1830 Pnt 889 1757 Pnt 883 1765 Pnt 967 1842 Pnt 1048 1919 Pnt 1121 1993 Pnt 1176 2060 Pnt 1193 2107 Pnt 1162 2129 Pnt 1092 2131 Pnt 999 2123 Pnt 890 2110 Pnt 932 2189 Pnt 1047 2315 Pnt 1187 2443 Pnt 1338 2578 Pnt 1502 2719 Pnt 1444 2206 Pnt 1365 2147 Pnt 1285 2085 Pnt 1204 2021 Pnt 1121 1955 Pnt 1038 1886 Pnt 953 1815 Pnt 867 1741 Pnt 905 1782 Pnt 989 1859 Pnt 1070 1936 Pnt 1140 2010 Pnt 1186 2072 Pnt 1191 2113 Pnt 1147 2128 Pnt 1068 2126 Pnt 969 2116 Pnt 856 2102 Pnt 966 2222 Pnt 1089 2349 Pnt 1233 2480 Pnt 1583 2307 Pnt 1505 2253 Pnt 1427 2195 Pnt 1347 2136 Pnt 1266 2073 Pnt 1184 2009 Pnt 1101 1941 Pnt 1017 1872 Pnt 931 1799 Pnt 845 1725 Pnt 927 1798 Pnt 1012 1876 Pnt 1090 1953 Pnt 1156 2025 Pnt 1194 2083 Pnt 1184 2116 Pnt 1128 2125 Pnt 1042 2120 Pnt 937 2109 Pnt 888 2133 Pnt 1000 2256 Pnt 1721 2402 Pnt 1644 2352 Pnt 1567 2298 Pnt 1488 2243 Pnt 1409 2185 Pnt 1329 2124 Pnt 1247 2061 Pnt 1164 1996 Pnt 1080 1928 Pnt 995 1857 Pnt 909 1784 Pnt 864 1738 Pnt 950 1816 Pnt 1034 1894 Pnt 1111 1970 Pnt 1171 2040 Pnt 1197 2092 Pnt 1173 2118 Pnt 1106 2122 Pnt 1013 2114 Pnt 904 2101 Pnt 1860 2491 Pnt 1783 2444 Pnt 1705 2395 Pnt 1628 2343 Pnt 1550 2289 Pnt 1471 2233 Pnt 1391 2174 Pnt 1310 2113 Pnt 1228 2049 Pnt 1144 1983 Pnt 1060 1914 Pnt 974 1842 Pnt 887 1768 Pnt 887 1755 Pnt 973 1833 Pnt 1056 1912 Pnt 1130 1987 Pnt 1184 2054 Pnt 1197 2099 Pnt 1159 2118 Pnt 1082 2117 Pnt 2001 2572 Pnt 1922 2529 Pnt 1845 2484 Pnt 1767 2437 Pnt 1689 2387 Pnt 1611 2335 Pnt 1533 2280 Pnt 1453 2223 Pnt 1373 2163 Pnt 1291 2101 Pnt 1208 2037 Pnt 1124 1969 Pnt 1039 1899 Pnt 952 1827 Pnt 865 1752 Pnt 909 1772 Pnt 996 1851 Pnt 1078 1929 Pnt 1148 2004 Pnt 1194 2066 Pnt 1192 2104 Pnt 2146 2647 Pnt 2065 2608 Pnt 1986 2567 Pnt 1907 2523 Pnt 1829 2477 Pnt 1751 2429 Pnt 1673 2379 Pnt 1595 2326 Pnt 1515 2270 Pnt 1435 2213 Pnt 1354 2152 Pnt 1272 2089 Pnt 1188 2024 Pnt 1103 1955 Pnt 1017 1885 Pnt 930 1811 Pnt 845 1736 Pnt 932 1789 Pnt 1018 1868 Pnt 1099 1947 Pnt 1165 2019 Pnt 2299 2714 Pnt 2214 2679 Pnt 2131 2642 Pnt 2051 2603 Pnt 1971 2561 Pnt 1892 2517 Pnt 1814 2470 Pnt 1735 2421 Pnt 1657 2370 Pnt 1578 2317 Pnt 1498 2261 Pnt 1417 2202 Pnt 1335 2141 Pnt 1252 2077 Pnt 1168 2011 Pnt 1082 1941 Pnt 996 1870 Pnt 908 1795 Pnt 867 1743 Pnt 955 1807 Pnt 1041 1886 Pnt 2466 2773 Pnt 2373 2743 Pnt 2285 2710 Pnt 2199 2675 Pnt 2117 2638 Pnt 2036 2597 Pnt 1956 2555 Pnt 1877 2510 Pnt 1798 2463 Pnt 1719 2414 Pnt 1640 2362 Pnt 1561 2307 Pnt 1480 2251 Pnt 1399 2191 Pnt 1316 2129 Pnt 1233 2065 Pnt 1148 1997 Pnt 1061 1927 Pnt 974 1854 Pnt 885 1779 Pnt 890 1750 Pnt 2653 2823 Pnt 2548 2798 Pnt 2450 2770 Pnt 2358 2740 Pnt 2270 2707 Pnt 2185 2671 Pnt 2102 2633 Pnt 2021 2592 Pnt 1941 2549 Pnt 1861 2504 Pnt 1782 2456 Pnt 1703 2406 Pnt 1624 2353 Pnt 1543 2298 Pnt 1462 2240 Pnt 1380 2180 Pnt 1297 2117 Pnt 1213 2052 Pnt 1127 1984 Pnt 1040 1913 Pnt 952 1839 Pnt 2873 2861 Pnt 2749 2843 Pnt 2636 2821 Pnt 2532 2796 Pnt 2435 2768 Pnt 2343 2737 Pnt 2255 2703 Pnt 2170 2666 Pnt 2087 2628 Pnt 2006 2586 Pnt 1926 2543 Pnt 1846 2497 Pnt 1766 2448 Pnt 1687 2398 Pnt 1607 2344 Pnt 1526 2288 Pnt 1444 2230 Pnt 1362 2169 Pnt 1278 2105 Pnt 1193 2039 Pnt 1106 1970 Pnt 3149 2883 Pnt 2992 2875 Pnt 2854 2860 Pnt 2732 2842 Pnt 2620 2819 Pnt 2517 2794 Pnt 2420 2765 Pnt 2328 2733 Pnt 2240 2699 Pnt 2155 2662 Pnt 2072 2623 Pnt 1991 2581 Pnt 1910 2537 Pnt 1830 2490 Pnt 1750 2441 Pnt 1670 2389 Pnt 1590 2335 Pnt 1508 2279 Pnt 1426 2219 Pnt 1343 2157 Pnt 1258 2093 Pnt 3525 2882 Pnt 3308 2887 Pnt 3127 2884 Pnt 2972 2875 Pnt 2836 2860 Pnt 2714 2841 Pnt 2604 2818 Pnt 2501 2791 Pnt 2405 2762 Pnt 2313 2730 Pnt 2225 2695 Pnt 2140 2657 Pnt 2057 2617 Pnt 1976 2575 Pnt 1895 2530 Pnt 1814 2483 Pnt 1734 2433 Pnt 1653 2381 Pnt 1572 2326 Pnt 1490 2268 Pnt 1407 2208 Pnt 4099 2837 Pnt 3759 2869 Pnt 3495 2885 Pnt 3283 2889 Pnt 3105 2885 Pnt 2952 2875 Pnt 2818 2859 Pnt 2697 2839 Pnt 2587 2816 Pnt 2485 2789 Pnt 2389 2759 Pnt 2298 2726 Pnt 2210 2691 Pnt 2125 2653 Pnt 2042 2612 Pnt 1960 2569 Pnt 1879 2523 Pnt 1798 2475 Pnt 1718 2425 Pnt 1636 2372 Pnt 1555 2316 Pnt 1107 2157 Pnt 1023 2153 Pnt 923 2143 Pnt 892 2177 Pnt 999 2296 Pnt 1127 2418 Pnt 1268 2546 Pnt 1420 2680 Pnt 1585 2820 Pnt 1767 2964 Pnt 1975 3113 Pnt 2227 3263 Pnt 2570 3405 Pnt 3198 3504 Pnt 1185 2130 Pnt 1153 2151 Pnt 1086 2154 Pnt 996 2147 Pnt 892 2136 Pnt 924 2208 Pnt 1035 2329 Pnt 1169 2453 Pnt 1314 2584 Pnt 1470 2720 Pnt 1641 2861 Pnt 1831 3008 Pnt 2051 3158 Pnt 2326 3308 Pnt 2728 3443 Pnt 3629 3493 Pnt 1140 2038 Pnt 1181 2097 Pnt 1181 2135 Pnt 1138 2150 Pnt 1063 2149 Pnt 968 2141 Pnt 859 2128 Pnt 956 2239 Pnt 1074 2362 Pnt 1212 2489 Pnt 1361 2621 Pnt 1522 2760 Pnt 1699 2904 Pnt 1898 3052 Pnt 2134 3203 Pnt 2439 3351 Pnt 2931 3474 Pnt 4472 3405 Pnt 1021 1910 Pnt 1095 1984 Pnt 1155 2053 Pnt 1187 2107 Pnt 1174 2138 Pnt 1120 2148 Pnt 1037 2144 Pnt 938 2134 Pnt 881 2153 Pnt 989 2272 Pnt 1115 2396 Pnt 1257 2525 Pnt 1410 2660 Pnt 1576 2801 Pnt 1760 2947 Pnt 1970 3097 Pnt 2224 3249 Pnt 2571 3393 Pnt 3214 3491 Pnt 880 1776 Pnt 963 1851 Pnt 1042 1927 Pnt 1114 2001 Pnt 1169 2067 Pnt 1189 2115 Pnt 1164 2140 Pnt 1099 2144 Pnt 1011 2138 Pnt 906 2127 Pnt 913 2184 Pnt 1023 2306 Pnt 1158 2431 Pnt 1303 2563 Pnt 1461 2700 Pnt 1633 2843 Pnt 1825 2991 Pnt 2047 3143 Pnt 2324 3294 Pnt 2731 3431 Pnt 3663 3478 Pnt 952 1801 Pnt 868 1743 Pnt 902 1792 Pnt 985 1868 Pnt 1063 1944 Pnt 1132 2017 Pnt 1180 2079 Pnt 1188 2121 Pnt 1150 2139 Pnt 1077 2140 Pnt 982 2132 Pnt 873 2119 Pnt 945 2215 Pnt 1062 2339 Pnt 1201 2467 Pnt 1351 2601 Pnt 1513 2741 Pnt 1692 2886 Pnt 1893 3036 Pnt 2130 3189 Pnt 2438 3338 Pnt 1097 1926 Pnt 1014 1857 Pnt 931 1786 Pnt 846 1736 Pnt 924 1809 Pnt 1006 1885 Pnt 1084 1961 Pnt 1149 2032 Pnt 1188 2090 Pnt 1183 2126 Pnt 1133 2138 Pnt 1052 2135 Pnt 952 2125 Pnt 869 2128 Pnt 979 2248 Pnt 1103 2374 Pnt 1246 2504 Pnt 1400 2640 Pnt 1568 2782 Pnt 1753 2930 Pnt 1965 3081 Pnt 1240 2045 Pnt 1159 1980 Pnt 1077 1913 Pnt 993 1843 Pnt 909 1771 Pnt 862 1750 Pnt 946 1826 Pnt 1028 1903 Pnt 1104 1978 Pnt 1164 2047 Pnt 1192 2100 Pnt 1174 2128 Pnt 1113 2135 Pnt 1025 2129 Pnt 921 2117 Pnt 901 2159 Pnt 1013 2282 Pnt 1146 2409 Pnt 1293 2541 Pnt 1451 2680 Pnt 1625 2824 Pnt 1381 2156 Pnt 1302 2096 Pnt 1221 2033 Pnt 1139 1967 Pnt 1056 1899 Pnt 972 1828 Pnt 887 1755 Pnt 884 1766 Pnt 969 1843 Pnt 1050 1920 Pnt 1123 1995 Pnt 1177 2061 Pnt 1193 2107 Pnt 1161 2129 Pnt 1091 2131 Pnt 997 2123 Pnt 888 2109 Pnt 934 2191 Pnt 1049 2316 Pnt 1190 2445 Pnt 1341 2580 Pnt 1521 2261 Pnt 1443 2204 Pnt 1363 2145 Pnt 1283 2084 Pnt 1202 2020 Pnt 1119 1954 Pnt 1036 1885 Pnt 951 1813 Pnt 866 1739 Pnt 907 1783 Pnt 991 1860 Pnt 1071 1937 Pnt 1141 2011 Pnt 1187 2073 Pnt 1190 2113 Pnt 1145 2128 Pnt 1066 2126 Pnt 967 2116 Pnt 857 2103 Pnt 968 2224 Pnt 1091 2351 Pnt 1659 2359 Pnt 1581 2306 Pnt 1504 2251 Pnt 1425 2194 Pnt 1345 2134 Pnt 1264 2072 Pnt 1182 2007 Pnt 1099 1940 Pnt 1015 1870 Pnt 929 1798 Pnt 843 1723 Pnt 929 1800 Pnt 1013 1878 Pnt 1092 1955 Pnt 1157 2026 Pnt 1194 2084 Pnt 1183 2116 Pnt 1127 2125 Pnt 1040 2120 Pnt 935 2108 Pnt 889 2134 Pnt 1796 2450 Pnt 1719 2401 Pnt 1642 2351 Pnt 1565 2297 Pnt 1486 2242 Pnt 1407 2184 Pnt 1327 2123 Pnt 1245 2060 Pnt 1163 1995 Pnt 1079 1926 Pnt 994 1856 Pnt 907 1782 Pnt 866 1740 Pnt 952 1817 Pnt 1035 1895 Pnt 1112 1972 Pnt 1172 2041 Pnt 1197 2093 Pnt 1172 2118 Pnt 1105 2121 Pnt 1012 2114 Pnt 1935 2534 Pnt 1858 2490 Pnt 1781 2443 Pnt 1704 2394 Pnt 1626 2342 Pnt 1548 2288 Pnt 1469 2232 Pnt 1389 2173 Pnt 1308 2112 Pnt 1226 2048 Pnt 1142 1981 Pnt 1058 1912 Pnt 972 1841 Pnt 885 1766 Pnt 888 1756 Pnt 975 1834 Pnt 1057 1913 Pnt 1131 1989 Pnt 1185 2055 Pnt 1197 2099 Pnt 1158 2117 Pnt 2078 2612 Pnt 1999 2571 Pnt 1920 2528 Pnt 1843 2483 Pnt 1765 2436 Pnt 1688 2386 Pnt 1610 2333 Pnt 1531 2279 Pnt 1451 2222 Pnt 1371 2162 Pnt 1289 2100 Pnt 1206 2035 Pnt 1122 1968 Pnt 1037 1898 Pnt 950 1825 Pnt 863 1750 Pnt 911 1773 Pnt 997 1852 Pnt 1079 1931 Pnt 1150 2005 Pnt 1194 2067 Pnt 2227 2683 Pnt 2144 2646 Pnt 2063 2607 Pnt 1984 2566 Pnt 1905 2522 Pnt 1827 2476 Pnt 1749 2428 Pnt 1671 2377 Pnt 1593 2325 Pnt 1514 2269 Pnt 1433 2211 Pnt 1352 2151 Pnt 1270 2088 Pnt 1186 2022 Pnt 1102 1954 Pnt 1015 1883 Pnt 928 1810 Pnt 846 1736 Pnt 934 1791 Pnt 1020 1870 Pnt 1100 1948 Pnt 2386 2745 Pnt 2297 2713 Pnt 2212 2678 Pnt 2129 2641 Pnt 2049 2602 Pnt 1969 2560 Pnt 1890 2516 Pnt 1812 2469 Pnt 1734 2420 Pnt 1655 2369 Pnt 1576 2316 Pnt 1496 2259 Pnt 1415 2201 Pnt 1334 2140 Pnt 1251 2076 Pnt 1166 2009 Pnt 1081 1940 Pnt 994 1868 Pnt 906 1794 Pnt 869 1744 Pnt 957 1808 Pnt 2561 2800 Pnt 2463 2772 Pnt 2371 2742 Pnt 2282 2710 Pnt 2197 2674 Pnt 2115 2637 Pnt 2034 2597 Pnt 1954 2554 Pnt 1875 2509 Pnt 1796 2462 Pnt 1718 2413 Pnt 1638 2361 Pnt 1559 2306 Pnt 1478 2249 Pnt 1397 2190 Pnt 1315 2128 Pnt 1231 2063 Pnt 1146 1996 Pnt 1059 1926 Pnt 972 1853 Pnt 883 1778 Pnt 2763 2843 Pnt 2650 2822 Pnt 2545 2797 Pnt 2448 2770 Pnt 2356 2739 Pnt 2268 2706 Pnt 2183 2670 Pnt 2100 2632 Pnt 2019 2591 Pnt 1939 2548 Pnt 1860 2503 Pnt 1780 2455 Pnt 1701 2405 Pnt 1622 2352 Pnt 1542 2297 Pnt 1461 2239 Pnt 1379 2179 Pnt 1295 2116 Pnt 1211 2051 Pnt 1125 1982 Pnt 1038 1911 Pnt 3008 2874 Pnt 2869 2861 Pnt 2746 2842 Pnt 2633 2821 Pnt 2530 2795 Pnt 2433 2767 Pnt 2341 2736 Pnt 2253 2702 Pnt 2168 2666 Pnt 2085 2627 Pnt 2004 2586 Pnt 1924 2542 Pnt 1844 2496 Pnt 1764 2447 Pnt 1685 2396 Pnt 1605 2343 Pnt 1524 2287 Pnt 1442 2229 Pnt 1360 2168 Pnt 1276 2104 Pnt 1191 2037 Pnt 3327 2886 Pnt 3144 2883 Pnt 2988 2874 Pnt 2851 2860 Pnt 2728 2841 Pnt 2617 2819 Pnt 2514 2793 Pnt 2417 2764 Pnt 2326 2732 Pnt 2238 2698 Pnt 2153 2661 Pnt 2070 2622 Pnt 1989 2580 Pnt 1908 2536 Pnt 1828 2489 Pnt 1748 2440 Pnt 1668 2388 Pnt 1588 2334 Pnt 1506 2277 Pnt 1424 2218 Pnt 1341 2156 Pnt 3785 2865 Pnt 3518 2882 Pnt 3302 2887 Pnt 3122 2884 Pnt 2968 2875 Pnt 2833 2860 Pnt 2711 2840 Pnt 2601 2817 Pnt 2498 2791 Pnt 2402 2761 Pnt 2311 2729 Pnt 2223 2694 Pnt 2138 2656 Pnt 2055 2616 Pnt 1973 2574 Pnt 1893 2529 Pnt 1812 2482 Pnt 1732 2432 Pnt 1652 2380 Pnt 1570 2325 Pnt 1488 2267 Pnt 1047 2158 Pnt 952 2150 Pnt 863 2149 Pnt 968 2265 Pnt 1089 2386 Pnt 1226 2512 Pnt 1373 2644 Pnt 1533 2781 Pnt 1709 2923 Pnt 1907 3070 Pnt 2141 3220 Pnt 2445 3366 Pnt 2933 3487 Pnt 4430 3423 Pnt 1164 2150 Pnt 1106 2157 Pnt 1022 2153 Pnt 922 2143 Pnt 894 2179 Pnt 1001 2297 Pnt 1129 2420 Pnt 1270 2548 Pnt 1422 2682 Pnt 1587 2822 Pnt 1770 2966 Pnt 1978 3115 Pnt 2231 3265 Pnt 2576 3407 Pnt 3212 3504 Pnt 1173 2086 Pnt 1185 2130 Pnt 1152 2151 Pnt 1084 2154 Pnt 995 2147 Pnt 890 2135 Pnt 926 2209 Pnt 1037 2330 Pnt 1171 2455 Pnt 1316 2585 Pnt 1472 2722 Pnt 1643 2863 Pnt 1834 3010 Pnt 2055 3160 Pnt 2330 3309 Pnt 2735 3444 Pnt 3651 3492 Pnt 1077 1969 Pnt 1141 2039 Pnt 1181 2098 Pnt 1181 2135 Pnt 1137 2150 Pnt 1061 2149 Pnt 966 2140 Pnt 857 2128 Pnt 958 2241 Pnt 1077 2364 Pnt 1215 2491 Pnt 1363 2623 Pnt 1525 2762 Pnt 1702 2906 Pnt 1902 3054 Pnt 2137 3205 Pnt 2444 3353 Pnt 2940 3475 Pnt 4522 3398 Pnt 943 1836 Pnt 1023 1911 Pnt 1097 1986 Pnt 1156 2054 Pnt 1187 2107 Pnt 1174 2138 Pnt 1119 2148 Pnt 1036 2144 Pnt 936 2133 Pnt 883 2154 Pnt 991 2274 Pnt 1118 2398 Pnt 1259 2527 Pnt 1412 2662 Pnt 1579 2803 Pnt 1763 2949 Pnt 1973 3099 Pnt 2228 3251 Pnt 2577 3395 Pnt 3227 3491 Pnt 888 1750 Pnt 882 1777 Pnt 964 1853 Pnt 1044 1928 Pnt 1115 2002 Pnt 1169 2067 Pnt 1189 2116 Pnt 1163 2140 Pnt 1098 2144 Pnt 1009 2138 Pnt 904 2126 Pnt 914 2185 Pnt 1025 2307 Pnt 1160 2433 Pnt 1306 2564 Pnt 1463 2702 Pnt 1635 2845 Pnt 1828 2993 Pnt 2050 3145 Pnt 2329 3296 Pnt 2739 3432 Pnt 1033 1870 Pnt 950 1800 Pnt 866 1743 Pnt 904 1794 Pnt 986 1870 Pnt 1065 1945 Pnt 1133 2018 Pnt 1180 2080 Pnt 1188 2122 Pnt 1149 2139 Pnt 1075 2140 Pnt 980 2131 Pnt 872 2118 Pnt 947 2217 Pnt 1064 2341 Pnt 1203 2469 Pnt 1353 2603 Pnt 1516 2742 Pnt 1695 2888 Pnt 1896 3038 Pnt 2134 3191 Pnt 1177 1991 Pnt 1095 1925 Pnt 1013 1856 Pnt 929 1785 Pnt 845 1736 Pnt 926 1810 Pnt 1008 1887 Pnt 1085 1962 Pnt 1150 2033 Pnt 1188 2091 Pnt 1182 2126 Pnt 1132 2138 Pnt 1050 2135 Pnt 950 2124 Pnt 871 2130 Pnt 981 2250 Pnt 1105 2375 Pnt 1248 2506 Pnt 1403 2642 Pnt 1571 2784 Pnt 1756 2931 Pnt 1319 2106 Pnt 1239 2043 Pnt 1157 1979 Pnt 1075 1911 Pnt 992 1842 Pnt 907 1770 Pnt 864 1751 Pnt 948 1827 Pnt 1030 1904 Pnt 1105 1979 Pnt 1165 2048 Pnt 1193 2100 Pnt 1173 2128 Pnt 1112 2135 Pnt 1024 2129 Pnt 919 2117 Pnt 903 2161 Pnt 1015 2284 Pnt 1148 2411 Pnt 1295 2543 Pnt 1454 2682 Pnt 1458 2213 Pnt 1380 2155 Pnt 1300 2094 Pnt 1219 2031 Pnt 1138 1966 Pnt 1055 1898 Pnt 971 1827 Pnt 886 1754 Pnt 886 1768 Pnt 970 1844 Pnt 1051 1921 Pnt 1124 1996 Pnt 1178 2061 Pnt 1193 2108 Pnt 1160 2129 Pnt 1089 2131 Pnt 995 2122 Pnt 886 2109 Pnt 936 2193 Pnt 1052 2318 Pnt 1192 2447 Pnt 1596 2314 Pnt 1519 2260 Pnt 1441 2203 Pnt 1362 2144 Pnt 1281 2083 Pnt 1200 2019 Pnt 1118 1952 Pnt 1034 1883 Pnt 949 1812 Pnt 864 1738 Pnt 908 1784 Pnt 993 1862 Pnt 1073 1939 Pnt 1142 2012 Pnt 1188 2074 Pnt 1190 2113 Pnt 1144 2128 Pnt 1065 2126 Pnt 965 2115 Pnt 859 2105 Pnt 970 2226 Pnt 1733 2408 Pnt 1657 2358 Pnt 1580 2305 Pnt 1502 2250 Pnt 1423 2193 Pnt 1343 2133 Pnt 1263 2071 Pnt 1181 2006 Pnt 1097 1939 Pnt 1013 1869 Pnt 928 1797 Pnt 845 1725 Pnt 931 1801 Pnt 1015 1879 Pnt 1093 1956 Pnt 1159 2027 Pnt 1194 2084 Pnt 1183 2117 Pnt 1125 2125 Pnt 1038 2120 Pnt 933 2108 Pnt 1871 2495 Pnt 1794 2449 Pnt 1718 2400 Pnt 1641 2349 Pnt 1563 2296 Pnt 1485 2241 Pnt 1405 2182 Pnt 1325 2122 Pnt 1243 2059 Pnt 1161 1993 Pnt 1077 1925 Pnt 992 1854 Pnt 906 1781 Pnt 868 1741 Pnt 954 1818 Pnt 1037 1897 Pnt 1114 1973 Pnt 1173 2042 Pnt 1198 2093 Pnt 1172 2118 Pnt 1103 2121 Pnt 2011 2576 Pnt 1933 2533 Pnt 1856 2489 Pnt 1779 2442 Pnt 1702 2393 Pnt 1624 2341 Pnt 1546 2287 Pnt 1467 2231 Pnt 1387 2172 Pnt 1306 2110 Pnt 1224 2047 Pnt 1141 1980 Pnt 1056 1911 Pnt 970 1839 Pnt 884 1765 Pnt 890 1758 Pnt 976 1836 Pnt 1059 1914 Pnt 1133 1990 Pnt 1185 2055 Pnt 1197 2100 Pnt 2156 2650 Pnt 2076 2611 Pnt 1997 2570 Pnt 1919 2527 Pnt 1841 2482 Pnt 1763 2434 Pnt 1686 2385 Pnt 1608 2332 Pnt 1529 2278 Pnt 1449 2220 Pnt 1369 2161 Pnt 1287 2099 Pnt 1204 2034 Pnt 1120 1967 Pnt 1035 1897 Pnt 948 1824 Pnt 861 1749 Pnt 913 1775 Pnt 999 1853 Pnt 1081 1932 Pnt 1151 2006 Pnt 2309 2716 Pnt 2224 2682 Pnt 2142 2645 Pnt 2061 2606 Pnt 1982 2565 Pnt 1903 2521 Pnt 1826 2475 Pnt 1748 2427 Pnt 1670 2376 Pnt 1591 2323 Pnt 1512 2268 Pnt 1432 2210 Pnt 1350 2150 Pnt 1268 2087 Pnt 1185 2021 Pnt 1100 1953 Pnt 1014 1882 Pnt 926 1808 Pnt 848 1737 Pnt 936 1792 Pnt 1022 1871 Pnt 2476 2774 Pnt 2383 2745 Pnt 2295 2712 Pnt 2210 2678 Pnt 2127 2640 Pnt 2047 2601 Pnt 1967 2559 Pnt 1888 2515 Pnt 1810 2468 Pnt 1732 2419 Pnt 1653 2368 Pnt 1574 2314 Pnt 1494 2258 Pnt 1414 2200 Pnt 1332 2138 Pnt 1249 2074 Pnt 1164 2008 Pnt 1079 1939 Pnt 992 1867 Pnt 904 1792 Pnt 871 1744 Pnt 2663 2823 Pnt 2558 2799 Pnt 2461 2772 Pnt 2368 2742 Pnt 2280 2709 Pnt 2195 2673 Pnt 2113 2636 Pnt 2032 2596 Pnt 1952 2553 Pnt 1873 2508 Pnt 1794 2461 Pnt 1716 2411 Pnt 1637 2360 Pnt 1557 2305 Pnt 1477 2248 Pnt 1395 2189 Pnt 1313 2127 Pnt 1229 2062 Pnt 1144 1995 Pnt 1058 1924 Pnt 970 1852 Pnt 2884 2861 Pnt 2760 2843 Pnt 2647 2822 Pnt 2543 2797 Pnt 2445 2769 Pnt 2353 2738 Pnt 2265 2705 Pnt 2180 2669 Pnt 2098 2631 Pnt 2017 2590 Pnt 1937 2547 Pnt 1858 2502 Pnt 1779 2454 Pnt 1699 2403 Pnt 1620 2351 Pnt 1540 2296 Pnt 1459 2238 Pnt 1377 2178 Pnt 1293 2115 Pnt 1209 2049 Pnt 1123 1981 Pnt 3162 2882 Pnt 3004 2874 Pnt 2866 2860 Pnt 2742 2842 Pnt 2630 2820 Pnt 2527 2795 Pnt 2430 2766 Pnt 2338 2735 Pnt 2251 2701 Pnt 2166 2665 Pnt 2083 2626 Pnt 2002 2585 Pnt 1922 2541 Pnt 1842 2495 Pnt 1763 2446 Pnt 1683 2395 Pnt 1603 2342 Pnt 1522 2286 Pnt 1441 2228 Pnt 1358 2166 Pnt 1274 2103 Pnt 3540 2880 Pnt 3321 2886 Pnt 3139 2883 Pnt 2984 2874 Pnt 2847 2860 Pnt 2725 2841 Pnt 2614 2818 Pnt 2511 2792 Pnt 2415 2763 Pnt 2323 2732 Pnt 2236 2697 Pnt 2151 2660 Pnt 2068 2621 Pnt 1987 2579 Pnt 1906 2535 Pnt 1826 2488 Pnt 1746 2439 Pnt 1666 2387 Pnt 1586 2333 Pnt 1504 2276 Pnt 1422 2217 Pnt 979 2156 Pnt 874 2144 Pnt 938 2235 Pnt 1051 2355 Pnt 1185 2479 Pnt 1329 2608 Pnt 1484 2743 Pnt 1654 2883 Pnt 1843 3028 Pnt 2063 3177 Pnt 2337 3324 Pnt 2739 3458 Pnt 3641 3505 Pnt 1123 2160 Pnt 1046 2158 Pnt 950 2149 Pnt 865 2151 Pnt 970 2267 Pnt 1091 2388 Pnt 1228 2514 Pnt 1376 2646 Pnt 1536 2783 Pnt 1712 2925 Pnt 1910 3072 Pnt 2145 3222 Pnt 2450 3367 Pnt 2942 3488 Pnt 4478 3417 Pnt 1185 2124 Pnt 1164 2150 Pnt 1104 2157 Pnt 1020 2153 Pnt 920 2142 Pnt 896 2180 Pnt 1003 2299 Pnt 1132 2422 Pnt 1273 2550 Pnt 1424 2684 Pnt 1590 2824 Pnt 1773 2968 Pnt 1982 3117 Pnt 2235 3267 Pnt 2582 3408 Pnt 3225 3504 Pnt 1126 2025 Pnt 1173 2087 Pnt 1185 2130 Pnt 1151 2151 Pnt 1083 2153 Pnt 993 2147 Pnt 888 2135 Pnt 927 2211 Pnt 1039 2332 Pnt 1174 2457 Pnt 1318 2587 Pnt 1475 2723 Pnt 1646 2865 Pnt 1837 3012 Pnt 2058 3162 Pnt 2335 3311 Pnt 2742 3446 Pnt 3674 3490 Pnt 1003 1896 Pnt 1078 1970 Pnt 1142 2040 Pnt 1182 2098 Pnt 1181 2135 Pnt 1136 2150 Pnt 1060 2149 Pnt 964 2140 Pnt 856 2127 Pnt 960 2243 Pnt 1079 2366 Pnt 1217 2492 Pnt 1366 2625 Pnt 1527 2764 Pnt 1705 2908 Pnt 1905 3056 Pnt 2141 3207 Pnt 2449 3355 Pnt 2950 3476 Pnt 4574 3390 Pnt 862 1763 Pnt 944 1837 Pnt 1024 1913 Pnt 1098 1987 Pnt 1157 2055 Pnt 1187 2108 Pnt 1173 2138 Pnt 1118 2147 Pnt 1034 2143 Pnt 934 2133 Pnt 884 2156 Pnt 993 2276 Pnt 1120 2400 Pnt 1262 2529 Pnt 1415 2664 Pnt 1582 2805 Pnt 1766 2951 Pnt 1977 3101 Pnt 2232 3253 Pnt 2583 3396 Pnt 3241 3491 Pnt 969 1813 Pnt 886 1749 Pnt 884 1779 Pnt 966 1854 Pnt 1045 1930 Pnt 1117 2003 Pnt 1170 2068 Pnt 1189 2116 Pnt 1162 2140 Pnt 1097 2144 Pnt 1007 2137 Pnt 902 2126 Pnt 916 2187 Pnt 1027 2309 Pnt 1162 2435 Pnt 1308 2566 Pnt 1466 2704 Pnt 1638 2847 Pnt 1831 2995 Pnt 2054 3147 Pnt 2333 3298 Pnt 1113 1937 Pnt 1031 1869 Pnt 948 1799 Pnt 865 1742 Pnt 906 1795 Pnt 988 1871 Pnt 1066 1947 Pnt 1135 2019 Pnt 1181 2081 Pnt 1188 2122 Pnt 1148 2139 Pnt 1074 2140 Pnt 979 2131 Pnt 870 2118 Pnt 949 2219 Pnt 1066 2343 Pnt 1206 2471 Pnt 1356 2605 Pnt 1518 2744 Pnt 1697 2890 Pnt 1899 3040 Pnt 1256 2054 Pnt 1175 1990 Pnt 1094 1924 Pnt 1011 1855 Pnt 927 1784 Pnt 844 1736 Pnt 928 1812 Pnt 1010 1888 Pnt 1087 1964 Pnt 1151 2034 Pnt 1189 2092 Pnt 1182 2126 Pnt 1130 2138 Pnt 1049 2134 Pnt 948 2124 Pnt 873 2131 Pnt 982 2252 Pnt 1108 2377 Pnt 1251 2507 Pnt 1405 2644 Pnt 1573 2786 Pnt 1396 2164 Pnt 1317 2105 Pnt 1237 2042 Pnt 1156 1977 Pnt 1073 1910 Pnt 990 1840 Pnt 906 1768 Pnt 866 1752 Pnt 950 1829 Pnt 1031 1905 Pnt 1106 1980 Pnt 1166 2049 Pnt 1193 2101 Pnt 1172 2128 Pnt 1110 2134 Pnt 1022 2128 Pnt 917 2116 Pnt 905 2163 Pnt 1017 2286 Pnt 1150 2413 Pnt 1297 2545 Pnt 1534 2268 Pnt 1456 2212 Pnt 1378 2154 Pnt 1298 2093 Pnt 1218 2030 Pnt 1136 1964 Pnt 1053 1896 Pnt 969 1826 Pnt 884 1753 Pnt 888 1769 Pnt 972 1846 Pnt 1053 1923 Pnt 1125 1997 Pnt 1178 2062 Pnt 1193 2108 Pnt 1159 2129 Pnt 1088 2130 Pnt 993 2122 Pnt 884 2108 Pnt 938 2195 Pnt 1054 2320 Pnt 1671 2365 Pnt 1594 2313 Pnt 1517 2259 Pnt 1439 2202 Pnt 1360 2143 Pnt 1280 2082 Pnt 1198 2018 Pnt 1116 1951 Pnt 1032 1882 Pnt 947 1811 Pnt 862 1737 Pnt 910 1786 Pnt 994 1863 Pnt 1074 1940 Pnt 1143 2013 Pnt 1188 2075 Pnt 1190 2114 Pnt 1143 2128 Pnt 1063 2125 Pnt 963 2115 Pnt 861 2107 Pnt 1808 2455 Pnt 1732 2407 Pnt 1655 2357 Pnt 1578 2304 Pnt 1500 2249 Pnt 1421 2192 Pnt 1342 2132 Pnt 1261 2070 Pnt 1179 2005 Pnt 1096 1938 Pnt 1011 1868 Pnt 926 1795 Pnt 847 1726 Pnt 933 1803 Pnt 1017 1880 Pnt 1095 1957 Pnt 1160 2028 Pnt 1195 2085 Pnt 1182 2117 Pnt 1124 2125 Pnt 1037 2119 Pnt 1946 2538 Pnt 1869 2494 Pnt 1793 2448 Pnt 1716 2399 Pnt 1639 2348 Pnt 1561 2295 Pnt 1483 2239 Pnt 1403 2181 Pnt 1323 2121 Pnt 1242 2058 Pnt 1159 1992 Pnt 1075 1924 Pnt 990 1853 Pnt 904 1780 Pnt 869 1742 Pnt 955 1820 Pnt 1039 1898 Pnt 1115 1974 Pnt 1174 2043 Pnt 1198 2094 Pnt 1171 2118 Pnt 2088 2615 Pnt 2009 2575 Pnt 1932 2533 Pnt 1854 2488 Pnt 1777 2441 Pnt 1700 2391 Pnt 1622 2340 Pnt 1544 2286 Pnt 1465 2229 Pnt 1385 2171 Pnt 1304 2109 Pnt 1222 2045 Pnt 1139 1979 Pnt 1054 1910 Pnt 968 1838 Pnt 882 1764 Pnt 892 1759 Pnt 978 1837 Pnt 1061 1916 Pnt 1134 1991 Pnt 1186 2056 Pnt 2237 2685 Pnt 2154 2649 Pnt 2074 2610 Pnt 1995 2569 Pnt 1917 2526 Pnt 1839 2481 Pnt 1761 2433 Pnt 1684 2383 Pnt 1606 2331 Pnt 1527 2276 Pnt 1448 2219 Pnt 1367 2160 Pnt 1285 2097 Pnt 1203 2033 Pnt 1118 1965 Pnt 1033 1895 Pnt 947 1823 Pnt 859 1747 Pnt 915 1776 Pnt 1001 1855 Pnt 1082 1933 Pnt 2396 2747 Pnt 2307 2715 Pnt 2222 2681 Pnt 2140 2644 Pnt 2059 2605 Pnt 1980 2564 Pnt 1902 2520 Pnt 1824 2474 Pnt 1746 2426 Pnt 1668 2375 Pnt 1589 2322 Pnt 1510 2267 Pnt 1430 2209 Pnt 1349 2148 Pnt 1266 2085 Pnt 1183 2020 Pnt 1098 1951 Pnt 1012 1880 Pnt 925 1807 Pnt 850 1737 Pnt 938 1793 Pnt 2571 2800 Pnt 2473 2774 Pnt 2381 2744 Pnt 2293 2712 Pnt 2208 2677 Pnt 2125 2640 Pnt 2044 2600 Pnt 1965 2558 Pnt 1886 2514 Pnt 1808 2467 Pnt 1730 2418 Pnt 1651 2367 Pnt 1572 2313 Pnt 1492 2257 Pnt 1412 2198 Pnt 1330 2137 Pnt 1247 2073 Pnt 1163 2007 Pnt 1077 1937 Pnt 990 1866 Pnt 902 1791 Pnt 2774 2843 Pnt 2660 2823 Pnt 2555 2798 Pnt 2458 2771 Pnt 2366 2741 Pnt 2278 2708 Pnt 2193 2673 Pnt 2110 2635 Pnt 2030 2595 Pnt 1950 2552 Pnt 1871 2507 Pnt 1792 2460 Pnt 1714 2410 Pnt 1635 2358 Pnt 1555 2304 Pnt 1475 2247 Pnt 1393 2188 Pnt 1311 2125 Pnt 1227 2061 Pnt 1142 1993 Pnt 1056 1923 Pnt 3020 2873 Pnt 2880 2860 Pnt 2756 2843 Pnt 2644 2821 Pnt 2540 2796 Pnt 2443 2768 Pnt 2351 2738 Pnt 2263 2704 Pnt 2178 2668 Pnt 2096 2630 Pnt 2015 2589 Pnt 1935 2546 Pnt 1856 2501 Pnt 1777 2453 Pnt 1697 2402 Pnt 1618 2350 Pnt 1538 2294 Pnt 1457 2237 Pnt 1375 2176 Pnt 1292 2114 Pnt 1207 2048 Pnt 3341 2884 Pnt 3157 2882 Pnt 2999 2874 Pnt 2862 2860 Pnt 2739 2842 Pnt 2627 2819 Pnt 2524 2794 Pnt 2428 2766 Pnt 2336 2734 Pnt 2248 2700 Pnt 2163 2664 Pnt 2081 2625 Pnt 2000 2584 Pnt 1920 2540 Pnt 1840 2494 Pnt 1761 2445 Pnt 1681 2394 Pnt 1601 2341 Pnt 1520 2285 Pnt 1439 2226 Pnt 1356 2165 Pnt 904 2151 Pnt 909 2206 Pnt 1015 2324 Pnt 1146 2446 Pnt 1285 2573 Pnt 1436 2706 Pnt 1601 2844 Pnt 1782 2987 Pnt 1990 3134 Pnt 2242 3282 Pnt 2587 3422 Pnt 3224 3517 Pnt 1068 2163 Pnt 977 2155 Pnt 872 2144 Pnt 940 2237 Pnt 1054 2357 Pnt 1187 2480 Pnt 1331 2610 Pnt 1486 2745 Pnt 1656 2885 Pnt 1846 3030 Pnt 2066 3179 Pnt 2341 3326 Pnt 2746 3459 Pnt 3663 3504 Pnt 1172 2148 Pnt 1122 2160 Pnt 1044 2158 Pnt 948 2149 Pnt 867 2152 Pnt 972 2268 Pnt 1093 2390 Pnt 1230 2516 Pnt 1378 2647 Pnt 1538 2785 Pnt 1715 2927 Pnt 1913 3074 Pnt 2149 3224 Pnt 2455 3369 Pnt 2952 3488 Pnt 4527 3410 Pnt 1163 2075 Pnt 1185 2124 Pnt 1163 2150 Pnt 1103 2157 Pnt 1018 2152 Pnt 918 2142 Pnt 898 2182 Pnt 1005 2301 Pnt 1134 2424 Pnt 1275 2552 Pnt 1427 2686 Pnt 1592 2825 Pnt 1776 2970 Pnt 1985 3119 Pnt 2239 3268 Pnt 2588 3410 Pnt 3239 3504 Pnt 1060 1955 Pnt 1127 2026 Pnt 1174 2088 Pnt 1184 2131 Pnt 1150 2151 Pnt 1082 2153 Pnt 991 2146 Pnt 886 2135 Pnt 929 2213 Pnt 1041 2334 Pnt 1176 2459 Pnt 1321 2589 Pnt 1477 2725 Pnt 1649 2867 Pnt 1840 3014 Pnt 2062 3164 Pnt 2339 3313 Pnt 2750 3447 Pnt 3698 3488 Pnt 924 1822 Pnt 1005 1897 Pnt 1080 1972 Pnt 1143 2041 Pnt 1182 2099 Pnt 1180 2136 Pnt 1135 2150 Pnt 1058 2148 Pnt 962 2140 Pnt 855 2128 Pnt 962 2245 Pnt 1081 2367 Pnt 1219 2494 Pnt 1368 2627 Pnt 1530 2766 Pnt 1707 2909 Pnt 1908 3058 Pnt 2145 3209 Pnt 2454 3356 Pnt 2959 3476 Pnt 4629 3382 Pnt 906 1756 Pnt 864 1764 Pnt 946 1839 Pnt 1026 1914 Pnt 1099 1988 Pnt 1158 2056 Pnt 1188 2109 Pnt 1173 2139 Pnt 1116 2147 Pnt 1033 2143 Pnt 932 2133 Pnt 886 2158 Pnt 995 2277 Pnt 1122 2402 Pnt 1264 2531 Pnt 1417 2666 Pnt 1584 2807 Pnt 1769 2953 Pnt 1980 3103 Pnt 2236 3254 Pnt 2589 3398 Pnt 1050 1882 Pnt 968 1812 Pnt 884 1749 Pnt 885 1780 Pnt 968 1855 Pnt 1047 1931 Pnt 1118 2004 Pnt 1171 2069 Pnt 1189 2117 Pnt 1161 2140 Pnt 1095 2144 Pnt 1006 2137 Pnt 901 2125 Pnt 918 2189 Pnt 1029 2311 Pnt 1164 2437 Pnt 1310 2568 Pnt 1468 2706 Pnt 1641 2849 Pnt 1834 2997 Pnt 2057 3149 Pnt 1193 2001 Pnt 1112 1936 Pnt 1030 1868 Pnt 947 1797 Pnt 863 1742 Pnt 907 1796 Pnt 990 1872 Pnt 1068 1948 Pnt 1136 2020 Pnt 1181 2082 Pnt 1187 2123 Pnt 1147 2139 Pnt 1072 2139 Pnt 977 2130 Pnt 868 2117 Pnt 951 2221 Pnt 1069 2345 Pnt 1208 2472 Pnt 1358 2606 Pnt 1521 2746 Pnt 1700 2892 Pnt 1333 2115 Pnt 1254 2053 Pnt 1173 1989 Pnt 1092 1922 Pnt 1009 1854 Pnt 925 1782 Pnt 846 1738 Pnt 929 1813 Pnt 1011 1889 Pnt 1088 1965 Pnt 1152 2035 Pnt 1189 2093 Pnt 1181 2126 Pnt 1129 2137 Pnt 1047 2134 Pnt 947 2123 Pnt 874 2133 Pnt 984 2253 Pnt 1110 2379 Pnt 1253 2509 Pnt 1408 2646 Pnt 1472 2221 Pnt 1394 2163 Pnt 1315 2103 Pnt 1235 2041 Pnt 1154 1976 Pnt 1072 1909 Pnt 988 1839 Pnt 904 1767 Pnt 867 1754 Pnt 951 1830 Pnt 1033 1907 Pnt 1108 1982 Pnt 1167 2050 Pnt 1193 2102 Pnt 1172 2129 Pnt 1109 2134 Pnt 1020 2128 Pnt 915 2116 Pnt 907 2164 Pnt 1018 2287 Pnt 1153 2414 Pnt 1609 2320 Pnt 1532 2267 Pnt 1455 2211 Pnt 1376 2153 Pnt 1297 2092 Pnt 1216 2029 Pnt 1134 1963 Pnt 1051 1895 Pnt 967 1824 Pnt 882 1751 Pnt 890 1770 Pnt 974 1847 Pnt 1054 1924 Pnt 1127 1998 Pnt 1179 2063 Pnt 1193 2109 Pnt 1159 2129 Pnt 1086 2130 Pnt 992 2121 Pnt 882 2108 Pnt 940 2196 Pnt 1745 2413 Pnt 1669 2364 Pnt 1592 2312 Pnt 1515 2258 Pnt 1437 2201 Pnt 1358 2142 Pnt 1278 2080 Pnt 1197 2016 Pnt 1114 1950 Pnt 1030 1881 Pnt 946 1809 Pnt 860 1735 Pnt 912 1787 Pnt 996 1864 Pnt 1076 1941 Pnt 1144 2014 Pnt 1189 2075 Pnt 1189 2114 Pnt 1142 2127 Pnt 1062 2125 Pnt 961 2114 Pnt 1882 2500 Pnt 1806 2454 Pnt 1730 2406 Pnt 1653 2356 Pnt 1576 2303 Pnt 1498 2248 Pnt 1419 2191 Pnt 1340 2131 Pnt 1259 2068 Pnt 1177 2004 Pnt 1094 1936 Pnt 1009 1866 Pnt 924 1794 Pnt 849 1727 Pnt 934 1804 Pnt 1018 1882 Pnt 1096 1958 Pnt 1161 2030 Pnt 1195 2086 Pnt 1181 2117 Pnt 1123 2125 Pnt 2022 2579 Pnt 1944 2538 Pnt 1867 2493 Pnt 1791 2447 Pnt 1714 2398 Pnt 1637 2347 Pnt 1559 2294 Pnt 1481 2238 Pnt 1402 2180 Pnt 1321 2119 Pnt 1240 2056 Pnt 1157 1991 Pnt 1073 1922 Pnt 988 1852 Pnt 902 1778 Pnt 871 1744 Pnt 957 1821 Pnt 1040 1899 Pnt 1116 1975 Pnt 1175 2044 Pnt 1198 2094 Pnt 2167 2652 Pnt 2086 2614 Pnt 2007 2574 Pnt 1930 2532 Pnt 1852 2487 Pnt 1775 2440 Pnt 1698 2390 Pnt 1621 2339 Pnt 1542 2285 Pnt 1463 2228 Pnt 1384 2169 Pnt 1303 2108 Pnt 1220 2044 Pnt 1137 1977 Pnt 1052 1908 Pnt 967 1836 Pnt 880 1762 Pnt 894 1761 Pnt 980 1839 Pnt 1062 1917 Pnt 1135 1992 Pnt 2319 2718 Pnt 2234 2684 Pnt 2152 2648 Pnt 2072 2609 Pnt 1993 2569 Pnt 1915 2525 Pnt 1837 2480 Pnt 1760 2432 Pnt 1682 2382 Pnt 1604 2330 Pnt 1525 2275 Pnt 1446 2218 Pnt 1365 2158 Pnt 1284 2096 Pnt 1201 2031 Pnt 1117 1964 Pnt 1031 1894 Pnt 945 1821 Pnt 857 1746 Pnt 916 1778 Pnt 1002 1856 Pnt 2486 2775 Pnt 2393 2746 Pnt 2305 2714 Pnt 2220 2680 Pnt 2138 2643 Pnt 2057 2604 Pnt 1978 2563 Pnt 1900 2519 Pnt 1822 2473 Pnt 1744 2425 Pnt 1666 2374 Pnt 1587 2321 Pnt 1508 2266 Pnt 1428 2208 Pnt 1347 2147 Pnt 1264 2084 Pnt 1181 2018 Pnt 1096 1950 Pnt 1010 1879 Pnt 923 1806 Pnt 852 1738 Pnt 2673 2823 Pnt 2568 2800 Pnt 2471 2773 Pnt 2378 2743 Pnt 2290 2711 Pnt 2205 2676 Pnt 2123 2639 Pnt 2042 2599 Pnt 1963 2557 Pnt 1884 2513 Pnt 1806 2466 Pnt 1728 2417 Pnt 1649 2366 Pnt 1570 2312 Pnt 1491 2256 Pnt 1410 2197 Pnt 1328 2136 Pnt 1245 2072 Pnt 1161 2005 Pnt 1075 1936 Pnt 988 1864 Pnt 2895 2860 Pnt 2770 2843 Pnt 2657 2822 Pnt 2553 2798 Pnt 2455 2770 Pnt 2363 2740 Pnt 2276 2707 Pnt 2191 2672 Pnt 2108 2634 Pnt 2028 2594 Pnt 1948 2551 Pnt 1869 2506 Pnt 1790 2459 Pnt 1712 2409 Pnt 1633 2357 Pnt 1553 2303 Pnt 1473 2246 Pnt 1391 2186 Pnt 1309 2124 Pnt 1225 2059 Pnt 1140 1992 Pnt 3174 2881 Pnt 3015 2873 Pnt 2877 2860 Pnt 2753 2842 Pnt 2641 2821 Pnt 2537 2796 Pnt 2440 2768 Pnt 2349 2737 Pnt 2261 2703 Pnt 2176 2667 Pnt 2094 2629 Pnt 2013 2588 Pnt 1933 2545 Pnt 1854 2500 Pnt 1775 2452 Pnt 1696 2401 Pnt 1616 2349 Pnt 1536 2293 Pnt 1455 2236 Pnt 1373 2175 Pnt 1290 2112 Pnt 880 2178 Pnt 984 2294 Pnt 1107 2414 Pnt 1244 2539 Pnt 1390 2669 Pnt 1549 2805 Pnt 1724 2947 Pnt 1922 3092 Pnt 2156 3240 Pnt 2461 3384 Pnt 2954 3501 Pnt 4485 3429 Pnt 1003 2161 Pnt 902 2151 Pnt 910 2208 Pnt 1017 2326 Pnt 1148 2447 Pnt 1288 2575 Pnt 1439 2708 Pnt 1603 2846 Pnt 1785 2989 Pnt 1993 3136 Pnt 2246 3284 Pnt 2593 3424 Pnt 3237 3517 Pnt 1138 2161 Pnt 1067 2162 Pnt 975 2155 Pnt 871 2144 Pnt 942 2239 Pnt 1056 2358 Pnt 1189 2482 Pnt 1333 2612 Pnt 1489 2747 Pnt 1659 2887 Pnt 1849 3032 Pnt 2070 3181 Pnt 2346 3328 Pnt 2754 3460 Pnt 3686 3502 Pnt 1182 2116 Pnt 1172 2148 Pnt 1121 2159 Pnt 1043 2157 Pnt 946 2148 Pnt 868 2154 Pnt 974 2270 Pnt 1095 2392 Pnt 1233 2517 Pnt 1381 2649 Pnt 1541 2787 Pnt 1717 2929 Pnt 1916 3076 Pnt 2152 3225 Pnt 2460 3371 Pnt 2961 3489 Pnt 4579 3403 Pnt 1111 2012 Pnt 1164 2076 Pnt 1185 2125 Pnt 1162 2150 Pnt 1102 2157 Pnt 1017 2152 Pnt 916 2141 Pnt 899 2184 Pnt 1007 2303 Pnt 1136 2425 Pnt 1277 2554 Pnt 1429 2688 Pnt 1595 2827 Pnt 1779 2972 Pnt 1988 3121 Pnt 2243 3270 Pnt 2594 3411 Pnt 3253 3504 Pnt 985 1882 Pnt 1061 1956 Pnt 1128 2027 Pnt 1175 2089 Pnt 1184 2131 Pnt 1149 2151 Pnt 1080 2153 Pnt 990 2146 Pnt 885 2134 Pnt 931 2215 Pnt 1043 2336 Pnt 1178 2460 Pnt 1323 2591 Pnt 1480 2727 Pnt 1651 2869 Pnt 1843 3016 Pnt 2065 3166 Pnt 2344 3315 Pnt 2757 3448 Pnt 3722 3486 Pnt 845 1749 Pnt 926 1823 Pnt 1006 1899 Pnt 1081 1973 Pnt 1144 2042 Pnt 1183 2100 Pnt 1180 2136 Pnt 1134 2149 Pnt 1057 2148 Pnt 961 2139 Pnt 857 2129 Pnt 963 2246 Pnt 1083 2369 Pnt 1222 2496 Pnt 1371 2629 Pnt 1532 2767 Pnt 1710 2911 Pnt 1911 3060 Pnt 2149 3211 Pnt 2459 3358 Pnt 2969 3477 Pnt 987 1825 Pnt 904 1755 Pnt 865 1765 Pnt 948 1840 Pnt 1027 1915 Pnt 1101 1989 Pnt 1159 2057 Pnt 1188 2109 Pnt 1172 2139 Pnt 1115 2147 Pnt 1031 2143 Pnt 930 2132 Pnt 888 2159 Pnt 997 2279 Pnt 1124 2403 Pnt 1266 2533 Pnt 1420 2668 Pnt 1587 2809 Pnt 1772 2955 Pnt 1983 3105 Pnt 2240 3256 Pnt 1130 1948 Pnt 1048 1880 Pnt 966 1811 Pnt 883 1748 Pnt 887 1781 Pnt 969 1857 Pnt 1048 1932 Pnt 1119 2005 Pnt 1172 2070 Pnt 1189 2117 Pnt 1161 2140 Pnt 1094 2143 Pnt 1004 2137 Pnt 899 2125 Pnt 920 2190 Pnt 1031 2313 Pnt 1167 2438 Pnt 1313 2570 Pnt 1471 2707 Pnt 1644 2851 Pnt 1837 2999 Pnt 1271 2063 Pnt 1191 2000 Pnt 1110 1935 Pnt 1028 1866 Pnt 945 1796 Pnt 861 1741 Pnt 909 1798 Pnt 991 1874 Pnt 1069 1949 Pnt 1137 2021 Pnt 1182 2082 Pnt 1187 2123 Pnt 1146 2139 Pnt 1071 2139 Pnt 975 2130 Pnt 866 2117 Pnt 953 2222 Pnt 1071 2346 Pnt 1210 2474 Pnt 1361 2608 Pnt 1524 2748 Pnt 1410 2173 Pnt 1331 2113 Pnt 1252 2052 Pnt 1172 1988 Pnt 1090 1921 Pnt 1007 1852 Pnt 924 1781 Pnt 847 1739 Pnt 931 1814 Pnt 1013 1891 Pnt 1089 1966 Pnt 1153 2036 Pnt 1189 2093 Pnt 1181 2127 Pnt 1128 2137 Pnt 1046 2134 Pnt 945 2123 Pnt 876 2135 Pnt 986 2255 Pnt 1112 2381 Pnt 1256 2511 Pnt 1547 2275 Pnt 1470 2220 Pnt 1392 2162 Pnt 1313 2102 Pnt 1233 2040 Pnt 1152 1975 Pnt 1070 1908 Pnt 986 1838 Pnt 902 1765 Pnt 869 1755 Pnt 953 1831 Pnt 1035 1908 Pnt 1109 1983 Pnt 1168 2051 Pnt 1193 2102 Pnt 1171 2129 Pnt 1108 2134 Pnt 1018 2128 Pnt 913 2115 Pnt 909 2166 Pnt 1020 2289 Pnt 1683 2371 Pnt 1607 2319 Pnt 1530 2266 Pnt 1453 2210 Pnt 1374 2151 Pnt 1295 2091 Pnt 1214 2028 Pnt 1132 1962 Pnt 1049 1894 Pnt 965 1823 Pnt 880 1750 Pnt 891 1772 Pnt 975 1848 Pnt 1056 1925 Pnt 1128 1999 Pnt 1180 2064 Pnt 1193 2109 Pnt 1158 2129 Pnt 1085 2130 Pnt 990 2121 Pnt 880 2107 Pnt 1819 2460 Pnt 1743 2412 Pnt 1667 2363 Pnt 1591 2311 Pnt 1513 2256 Pnt 1435 2200 Pnt 1356 2141 Pnt 1276 2079 Pnt 1195 2015 Pnt 1112 1949 Pnt 1029 1879 Pnt 944 1808 Pnt 858 1734 Pnt 914 1788 Pnt 998 1866 Pnt 1077 1943 Pnt 1146 2015 Pnt 1189 2076 Pnt 1189 2114 Pnt 1141 2127 Pnt 1060 2124 Pnt 1957 2542 Pnt 1881 2499 Pnt 1804 2453 Pnt 1728 2405 Pnt 1651 2354 Pnt 1574 2302 Pnt 1496 2247 Pnt 1418 2189 Pnt 1338 2130 Pnt 1257 2067 Pnt 1175 2002 Pnt 1092 1935 Pnt 1008 1865 Pnt 922 1792 Pnt 850 1729 Pnt 936 1805 Pnt 1020 1883 Pnt 1098 1960 Pnt 1162 2031 Pnt 1195 2086 Pnt 1181 2117 Pnt 2099 2618 Pnt 2020 2579 Pnt 1943 2537 Pnt 1866 2492 Pnt 1789 2446 Pnt 1712 2397 Pnt 1635 2346 Pnt 1557 2293 Pnt 1479 2237 Pnt 1400 2179 Pnt 1319 2118 Pnt 1238 2055 Pnt 1155 1989 Pnt 1071 1921 Pnt 986 1850 Pnt 900 1777 Pnt 873 1745 Pnt 959 1823 Pnt 1042 1901 Pnt 1118 1977 Pnt 1176 2045 Pnt 2247 2687 Pnt 2165 2651 Pnt 2084 2613 Pnt 2006 2573 Pnt 1928 2531 Pnt 1850 2486 Pnt 1773 2439 Pnt 1696 2389 Pnt 1619 2338 Pnt 1541 2284 Pnt 1462 2227 Pnt 1382 2168 Pnt 1301 2107 Pnt 1219 2043 Pnt 1135 1976 Pnt 1051 1907 Pnt 965 1835 Pnt 878 1761 Pnt 895 1762 Pnt 981 1840 Pnt 1064 1918 Pnt 2406 2748 Pnt 2317 2717 Pnt 2232 2683 Pnt 2150 2647 Pnt 2070 2608 Pnt 1991 2568 Pnt 1913 2524 Pnt 1835 2479 Pnt 1758 2431 Pnt 1680 2381 Pnt 1602 2329 Pnt 1523 2274 Pnt 1444 2217 Pnt 1363 2157 Pnt 1282 2095 Pnt 1199 2030 Pnt 1115 1963 Pnt 1029 1892 Pnt 943 1820 Pnt 856 1745 Pnt 918 1779 Pnt 2581 2801 Pnt 2483 2775 Pnt 2391 2745 Pnt 2303 2714 Pnt 2218 2679 Pnt 2136 2642 Pnt 2055 2603 Pnt 1976 2562 Pnt 1898 2518 Pnt 1820 2472 Pnt 1742 2424 Pnt 1664 2373 Pnt 1585 2320 Pnt 1506 2264 Pnt 1426 2207 Pnt 1345 2146 Pnt 1263 2083 Pnt 1179 2017 Pnt 1094 1949 Pnt 1008 1878 Pnt 921 1804 Pnt 2784 2843 Pnt 2670 2823 Pnt 2566 2799 Pnt 2468 2772 Pnt 2376 2742 Pnt 2288 2710 Pnt 2203 2675 Pnt 2121 2638 Pnt 2040 2598 Pnt 1961 2556 Pnt 1882 2512 Pnt 1804 2465 Pnt 1726 2416 Pnt 1648 2365 Pnt 1568 2311 Pnt 1489 2255 Pnt 1408 2196 Pnt 1326 2135 Pnt 1243 2071 Pnt 1159 2004 Pnt 1073 1935 Pnt 3031 2872 Pnt 2892 2860 Pnt 2767 2843 Pnt 2654 2822 Pnt 2550 2797 Pnt 2453 2770 Pnt 2361 2739 Pnt 2273 2706 Pnt 2189 2671 Pnt 2106 2633 Pnt 2026 2593 Pnt 1946 2550 Pnt 1867 2505 Pnt 1789 2458 Pnt 1710 2408 Pnt 1631 2356 Pnt 1551 2302 Pnt 1471 2245 Pnt 1390 2185 Pnt 1307 2123 Pnt 1223 2058 Pnt 954 2264 Pnt 1070 2383 Pnt 1203 2505 Pnt 1346 2634 Pnt 1500 2768 Pnt 1669 2907 Pnt 1858 3051 Pnt 2077 3197 Pnt 2352 3343 Pnt 2758 3473 Pnt 3675 3515 Pnt 931 2157 Pnt 881 2180 Pnt 986 2295 Pnt 1109 2415 Pnt 1246 2541 Pnt 1393 2671 Pnt 1552 2807 Pnt 1727 2949 Pnt 1925 3094 Pnt 2160 3242 Pnt 2466 3385 Pnt 2963 3502 Pnt 4535 3422 Pnt 1087 2166 Pnt 1001 2161 Pnt 900 2150 Pnt 912 2209 Pnt 1019 2328 Pnt 1150 2449 Pnt 1290 2576 Pnt 1441 2709 Pnt 1606 2848 Pnt 1788 2991 Pnt 1997 3138 Pnt 2250 3286 Pnt 2599 3425 Pnt 3251 3517 Pnt 1178 2145 Pnt 1137 2161 Pnt 1065 2162 Pnt 974 2155 Pnt 869 2143 Pnt 944 2240 Pnt 1058 2360 Pnt 1192 2484 Pnt 1336 2613 Pnt 1491 2748 Pnt 1662 2889 Pnt 1852 3034 Pnt 2073 3182 Pnt 2350 3330 Pnt 2761 3461 Pnt 3709 3500 Pnt 1152 2064 Pnt 1182 2117 Pnt 1171 2148 Pnt 1120 2159 Pnt 1041 2157 Pnt 945 2148 Pnt 870 2155 Pnt 976 2272 Pnt 1097 2393 Pnt 1235 2519 Pnt 1383 2651 Pnt 1544 2788 Pnt 1720 2931 Pnt 1920 3078 Pnt 2156 3227 Pnt 2465 3372 Pnt 2971 3490 Pnt 4633 3395 Pnt 1042 1941 Pnt 1112 2013 Pnt 1165 2077 Pnt 1185 2125 Pnt 1162 2150 Pnt 1101 2156 Pnt 1015 2152 Pnt 914 2141 Pnt 901 2185 Pnt 1008 2305 Pnt 1138 2427 Pnt 1279 2556 Pnt 1432 2690 Pnt 1598 2829 Pnt 1781 2974 Pnt 1992 3122 Pnt 2247 3272 Pnt 2600 3413 Pnt 3267 3504 Pnt 906 1808 Pnt 986 1883 Pnt 1063 1957 Pnt 1129 2028 Pnt 1175 2089 Pnt 1184 2132 Pnt 1149 2151 Pnt 1079 2153 Pnt 988 2145 Pnt 883 2134 Pnt 933 2216 Pnt 1045 2337 Pnt 1180 2462 Pnt 1326 2593 Pnt 1482 2729 Pnt 1654 2871 Pnt 1846 3017 Pnt 2069 3167 Pnt 2348 3316 Pnt 2765 3449 Pnt 3747 3484 Pnt 923 1768 Pnt 846 1750 Pnt 928 1825 Pnt 1008 1900 Pnt 1083 1974 Pnt 1146 2043 Pnt 1183 2101 Pnt 1180 2136 Pnt 1133 2149 Pnt 1055 2148 Pnt 959 2139 Pnt 859 2131 Pnt 965 2248 Pnt 1085 2371 Pnt 1224 2498 Pnt 1373 2631 Pnt 1535 2769 Pnt 1713 2913 Pnt 1914 3062 Pnt 2152 3213 Pnt 2464 3360 Pnt 1067 1893 Pnt 985 1824 Pnt 902 1755 Pnt 867 1767 Pnt 949 1841 Pnt 1029 1917 Pnt 1102 1990 Pnt 1160 2058 Pnt 1188 2110 Pnt 1171 2139 Pnt 1114 2147 Pnt 1030 2142 Pnt 929 2132 Pnt 890 2161 Pnt 998 2281 Pnt 1126 2405 Pnt 1269 2534 Pnt 1422 2670 Pnt 1590 2810 Pnt 1775 2957 Pnt 1987 3107 Pnt 1208 2011 Pnt 1128 1946 Pnt 1046 1879 Pnt 964 1809 Pnt 881 1748 Pnt 889 1783 Pnt 971 1858 Pnt 1050 1934 Pnt 1121 2007 Pnt 1173 2071 Pnt 1189 2118 Pnt 1160 2140 Pnt 1093 2143 Pnt 1002 2136 Pnt 897 2124 Pnt 922 2192 Pnt 1033 2315 Pnt 1169 2440 Pnt 1315 2572 Pnt 1473 2709 Pnt 1646 2853 Pnt 1348 2123 Pnt 1269 2062 Pnt 1189 1999 Pnt 1108 1933 Pnt 1026 1865 Pnt 943 1795 Pnt 859 1741 Pnt 911 1799 Pnt 993 1875 Pnt 1071 1951 Pnt 1138 2022 Pnt 1183 2083 Pnt 1187 2123 Pnt 1145 2139 Pnt 1069 2139 Pnt 973 2130 Pnt 864 2116 Pnt 954 2224 Pnt 1073 2348 Pnt 1213 2476 Pnt 1363 2610 Pnt 1485 2228 Pnt 1408 2171 Pnt 1330 2112 Pnt 1250 2051 Pnt 1170 1986 Pnt 1088 1920 Pnt 1005 1851 Pnt 922 1780 Pnt 849 1740 Pnt 933 1816 Pnt 1015 1892 Pnt 1091 1967 Pnt 1154 2038 Pnt 1190 2094 Pnt 1180 2127 Pnt 1127 2137 Pnt 1044 2133 Pnt 943 2122 Pnt 878 2137 Pnt 988 2257 Pnt 1114 2383 Pnt 1621 2327 Pnt 1545 2274 Pnt 1468 2219 Pnt 1390 2161 Pnt 1311 2101 Pnt 1231 2039 Pnt 1150 1974 Pnt 1068 1906 Pnt 985 1836 Pnt 900 1764 Pnt 871 1757 Pnt 955 1833 Pnt 1036 1909 Pnt 1111 1984 Pnt 1169 2052 Pnt 1193 2103 Pnt 1170 2129 Pnt 1106 2134 Pnt 1017 2127 Pnt 911 2115 Pnt 910 2168 Pnt 1757 2419 Pnt 1681 2370 Pnt 1605 2318 Pnt 1528 2265 Pnt 1451 2209 Pnt 1373 2150 Pnt 1293 2090 Pnt 1212 2026 Pnt 1130 1961 Pnt 1047 1892 Pnt 963 1822 Pnt 879 1748 Pnt 893 1773 Pnt 977 1850 Pnt 1058 1927 Pnt 1129 2001 Pnt 1181 2065 Pnt 1193 2110 Pnt 1157 2129 Pnt 1083 2129 Pnt 988 2120 Pnt 1894 2504 Pnt 1818 2459 Pnt 1742 2411 Pnt 1665 2362 Pnt 1589 2310 Pnt 1512 2255 Pnt 1434 2199 Pnt 1354 2139 Pnt 1274 2078 Pnt 1193 2014 Pnt 1110 1947 Pnt 1027 1878 Pnt 942 1806 Pnt 857 1733 Pnt 915 1790 Pnt 999 1867 Pnt 1079 1944 Pnt 1147 2016 Pnt 1190 2077 Pnt 1189 2114 Pnt 1140 2127 Pnt 2033 2583 Pnt 1955 2541 Pnt 1879 2498 Pnt 1802 2452 Pnt 1726 2404 Pnt 1649 2353 Pnt 1572 2301 Pnt 1495 2246 Pnt 1416 2188 Pnt 1336 2128 Pnt 1255 2066 Pnt 1173 2001 Pnt 1090 1934 Pnt 1006 1864 Pnt 920 1791 Pnt 852 1730 Pnt 938 1807 Pnt 1021 1884 Pnt 1099 1961 Pnt 1163 2032 Pnt 1196 2087 Pnt 2177 2655 Pnt 2097 2617 Pnt 2018 2578 Pnt 1941 2536 Pnt 1864 2491 Pnt 1787 2445 Pnt 1710 2396 Pnt 1633 2345 Pnt 1556 2292 Pnt 1477 2236 Pnt 1398 2178 Pnt 1318 2117 Pnt 1236 2054 Pnt 1153 1988 Pnt 1070 1920 Pnt 984 1849 Pnt 898 1775 Pnt 875 1747 Pnt 960 1824 Pnt 1044 1902 Pnt 1119 1978 Pnt 2329 2720 Pnt 2245 2686 Pnt 2162 2651 Pnt 2082 2613 Pnt 2004 2572 Pnt 1926 2530 Pnt 1849 2485 Pnt 1771 2438 Pnt 1694 2388 Pnt 1617 2336 Pnt 1539 2282 Pnt 1460 2226 Pnt 1380 2167 Pnt 1299 2105 Pnt 1217 2041 Pnt 1133 1975 Pnt 1049 1906 Pnt 963 1834 Pnt 876 1759 Pnt 897 1763 Pnt 983 1841 Pnt 2496 2776 Pnt 2403 2748 Pnt 2315 2716 Pnt 2230 2682 Pnt 2148 2646 Pnt 2068 2608 Pnt 1989 2567 Pnt 1911 2523 Pnt 1833 2478 Pnt 1756 2430 Pnt 1678 2380 Pnt 1600 2328 Pnt 1522 2273 Pnt 1442 2216 Pnt 1362 2156 Pnt 1280 2094 Pnt 1197 2029 Pnt 1113 1961 Pnt 1028 1891 Pnt 941 1818 Pnt 854 1743 Pnt 2684 2824 Pnt 2579 2800 Pnt 2481 2774 Pnt 2388 2745 Pnt 2300 2713 Pnt 2216 2678 Pnt 2133 2642 Pnt 2053 2602 Pnt 1974 2561 Pnt 1896 2517 Pnt 1818 2471 Pnt 1740 2423 Pnt 1662 2372 Pnt 1584 2319 Pnt 1504 2263 Pnt 1424 2205 Pnt 1343 2145 Pnt 1261 2082 Pnt 1177 2016 Pnt 1092 1947 Pnt 1006 1876 Pnt 2906 2860 Pnt 2781 2843 Pnt 2667 2822 Pnt 2563 2798 Pnt 2465 2771 Pnt 2373 2742 Pnt 2286 2709 Pnt 2201 2674 Pnt 2119 2637 Pnt 2038 2597 Pnt 1959 2555 Pnt 1881 2511 Pnt 1802 2464 Pnt 1724 2415 Pnt 1646 2364 Pnt 1567 2310 Pnt 1487 2253 Pnt 1406 2195 Pnt 1324 2133 Pnt 1241 2069 Pnt 1157 2003 Pnt 1034 2352 Pnt 1163 2473 Pnt 1303 2599 Pnt 1453 2731 Pnt 1616 2868 Pnt 1797 3010 Pnt 2005 3155 Pnt 2257 3301 Pnt 2604 3439 Pnt 3249 3529 Pnt 853 2152 Pnt 956 2266 Pnt 1072 2384 Pnt 1205 2507 Pnt 1348 2636 Pnt 1503 2770 Pnt 1672 2909 Pnt 1861 3053 Pnt 2081 3199 Pnt 2357 3345 Pnt 2765 3475 Pnt 3698 3514 Pnt 1026 2166 Pnt 929 2157 Pnt 883 2181 Pnt 988 2297 Pnt 1111 2417 Pnt 1248 2542 Pnt 1395 2673 Pnt 1554 2809 Pnt 1730 2950 Pnt 1928 3096 Pnt 2163 3243 Pnt 2471 3387 Pnt 2973 3503 Pnt 4586 3415 Pnt 1150 2161 Pnt 1086 2166 Pnt 1000 2160 Pnt 899 2150 Pnt 914 2211 Pnt 1021 2329 Pnt 1152 2451 Pnt 1292 2578 Pnt 1444 2711 Pnt 1608 2850 Pnt 1791 2993 Pnt 2000 3140 Pnt 2254 3288 Pnt 2605 3427 Pnt 3265 3517 Pnt 1177 2108 Pnt 1177 2145 Pnt 1136 2161 Pnt 1064 2162 Pnt 972 2154 Pnt 867 2143 Pnt 945 2242 Pnt 1060 2362 Pnt 1194 2486 Pnt 1338 2615 Pnt 1494 2750 Pnt 1664 2891 Pnt 1855 3036 Pnt 2077 3184 Pnt 2355 3331 Pnt 2768 3463 Pnt 3733 3498 Pnt 1095 1998 Pnt 1153 2065 Pnt 1183 2118 Pnt 1171 2149 Pnt 1119 2159 Pnt 1040 2157 Pnt 943 2148 Pnt 872 2157 Pnt 977 2274 Pnt 1100 2395 Pnt 1237 2521 Pnt 1385 2653 Pnt 1546 2790 Pnt 1723 2933 Pnt 1923 3080 Pnt 2160 3229 Pnt 2470 3374 Pnt 2981 3491 Pnt 4690 3387 Pnt 967 1868 Pnt 1044 1942 Pnt 1113 2014 Pnt 1165 2078 Pnt 1185 2126 Pnt 1161 2150 Pnt 1099 2156 Pnt 1014 2151 Pnt 913 2141 Pnt 903 2187 Pnt 1010 2306 Pnt 1140 2429 Pnt 1282 2557 Pnt 1434 2691 Pnt 1600 2831 Pnt 1784 2976 Pnt 1995 3124 Pnt 2251 3274 Pnt 2606 3414 Pnt 3282 3504 Pnt 861 1754 Pnt 908 1810 Pnt 988 1884 Pnt 1064 1959 Pnt 1131 2029 Pnt 1176 2090 Pnt 1184 2132 Pnt 1148 2151 Pnt 1077 2152 Pnt 986 2145 Pnt 881 2133 Pnt 935 2218 Pnt 1048 2339 Pnt 1183 2464 Pnt 1328 2594 Pnt 1485 2731 Pnt 1657 2873 Pnt 1849 3019 Pnt 2072 3169 Pnt 2353 3318 Pnt 2772 3451 Pnt 1004 1837 Pnt 922 1767 Pnt 848 1752 Pnt 929 1826 Pnt 1009 1901 Pnt 1084 1975 Pnt 1147 2044 Pnt 1184 2101 Pnt 1179 2136 Pnt 1131 2149 Pnt 1054 2148 Pnt 957 2138 Pnt 860 2133 Pnt 967 2250 Pnt 1087 2373 Pnt 1226 2500 Pnt 1376 2633 Pnt 1538 2771 Pnt 1716 2915 Pnt 1917 3064 Pnt 2156 3215 Pnt 1146 1958 Pnt 1065 1892 Pnt 983 1823 Pnt 901 1754 Pnt 869 1768 Pnt 951 1843 Pnt 1030 1918 Pnt 1103 1992 Pnt 1161 2059 Pnt 1188 2111 Pnt 1171 2139 Pnt 1113 2147 Pnt 1028 2142 Pnt 927 2131 Pnt 892 2163 Pnt 1000 2283 Pnt 1129 2407 Pnt 1271 2536 Pnt 1425 2671 Pnt 1592 2812 Pnt 1778 2959 Pnt 1286 2073 Pnt 1206 2010 Pnt 1126 1945 Pnt 1045 1878 Pnt 962 1808 Pnt 879 1747 Pnt 891 1784 Pnt 973 1859 Pnt 1051 1935 Pnt 1122 2008 Pnt 1173 2072 Pnt 1189 2118 Pnt 1159 2140 Pnt 1091 2143 Pnt 1001 2136 Pnt 895 2124 Pnt 924 2194 Pnt 1035 2316 Pnt 1171 2442 Pnt 1318 2574 Pnt 1476 2711 Pnt 1424 2180 Pnt 1346 2122 Pnt 1267 2061 Pnt 1187 1998 Pnt 1106 1932 Pnt 1024 1864 Pnt 941 1793 Pnt 858 1740 Pnt 912 1800 Pnt 994 1876 Pnt 1072 1952 Pnt 1139 2023 Pnt 1183 2084 Pnt 1186 2124 Pnt 1144 2139 Pnt 1068 2138 Pnt 972 2129 Pnt 862 2116 Pnt 956 2226 Pnt 1075 2350 Pnt 1215 2478 Pnt 1560 2282 Pnt 1483 2227 Pnt 1406 2170 Pnt 1328 2111 Pnt 1249 2049 Pnt 1168 1985 Pnt 1086 1919 Pnt 1004 1850 Pnt 920 1778 Pnt 851 1742 Pnt 934 1817 Pnt 1016 1893 Pnt 1092 1969 Pnt 1155 2039 Pnt 1190 2095 Pnt 1180 2127 Pnt 1126 2137 Pnt 1042 2133 Pnt 941 2122 Pnt 880 2138 Pnt 990 2259 Pnt 1695 2376 Pnt 1620 2326 Pnt 1543 2273 Pnt 1466 2217 Pnt 1389 2160 Pnt 1310 2100 Pnt 1230 2037 Pnt 1149 1972 Pnt 1066 1905 Pnt 983 1835 Pnt 899 1763 Pnt 873 1758 Pnt 957 1834 Pnt 1038 1911 Pnt 1112 1985 Pnt 1169 2053 Pnt 1193 2103 Pnt 1169 2129 Pnt 1105 2133 Pnt 1015 2127 Pnt 909 2114 Pnt 1831 2465 Pnt 1755 2418 Pnt 1679 2368 Pnt 1603 2317 Pnt 1527 2263 Pnt 1449 2207 Pnt 1371 2149 Pnt 1291 2088 Pnt 1211 2025 Pnt 1129 1959 Pnt 1046 1891 Pnt 962 1820 Pnt 877 1747 Pnt 895 1774 Pnt 979 1851 Pnt 1059 1928 Pnt 1131 2002 Pnt 1181 2066 Pnt 1193 2110 Pnt 1156 2129 Pnt 1082 2129 Pnt 1968 2546 Pnt 1892 2503 Pnt 1816 2458 Pnt 1740 2410 Pnt 1664 2360 Pnt 1587 2308 Pnt 1510 2254 Pnt 1432 2197 Pnt 1353 2138 Pnt 1273 2077 Pnt 1191 2013 Pnt 1109 1946 Pnt 1025 1877 Pnt 940 1805 Pnt 855 1731 Pnt 917 1791 Pnt 1001 1868 Pnt 1080 1945 Pnt 1148 2018 Pnt 1190 2078 Pnt 1188 2115 Pnt 2109 2621 Pnt 2031 2582 Pnt 1953 2540 Pnt 1877 2497 Pnt 1800 2451 Pnt 1724 2403 Pnt 1648 2352 Pnt 1571 2300 Pnt 1493 2244 Pnt 1414 2187 Pnt 1334 2127 Pnt 1254 2065 Pnt 1172 2000 Pnt 1088 1932 Pnt 1004 1862 Pnt 919 1790 Pnt 854 1731 Pnt 940 1808 Pnt 1023 1886 Pnt 1101 1962 Pnt 1164 2033 Pnt 2257 2689 Pnt 2175 2654 Pnt 2095 2616 Pnt 2016 2577 Pnt 1939 2535 Pnt 1862 2490 Pnt 1785 2444 Pnt 1708 2395 Pnt 1631 2344 Pnt 1554 2291 Pnt 1475 2235 Pnt 1396 2176 Pnt 1316 2116 Pnt 1234 2053 Pnt 1152 1987 Pnt 1068 1918 Pnt 983 1847 Pnt 897 1774 Pnt 876 1748 Pnt 962 1825 Pnt 1045 1903 Pnt 2415 2750 Pnt 2327 2719 Pnt 2242 2685 Pnt 2160 2650 Pnt 2080 2612 Pnt 2002 2571 Pnt 1924 2529 Pnt 1847 2484 Pnt 1770 2437 Pnt 1693 2387 Pnt 1615 2335 Pnt 1537 2281 Pnt 1458 2225 Pnt 1378 2166 Pnt 1297 2104 Pnt 1215 2040 Pnt 1132 1974 Pnt 1047 1904 Pnt 961 1832 Pnt 874 1758 Pnt 899 1765 Pnt 2591 2802 Pnt 2493 2776 Pnt 2401 2747 Pnt 2313 2715 Pnt 2228 2682 Pnt 2146 2645 Pnt 2066 2607 Pnt 1987 2566 Pnt 1909 2522 Pnt 1831 2477 Pnt 1754 2429 Pnt 1676 2379 Pnt 1598 2327 Pnt 1520 2272 Pnt 1440 2215 Pnt 1360 2155 Pnt 1278 2092 Pnt 1195 2028 Pnt 1111 1960 Pnt 1026 1890 Pnt 939 1817 Pnt 2795 2843 Pnt 2681 2823 Pnt 2576 2800 Pnt 2478 2773 Pnt 2386 2744 Pnt 2298 2712 Pnt 2213 2678 Pnt 2131 2641 Pnt 2051 2602 Pnt 1972 2560 Pnt 1894 2516 Pnt 1816 2470 Pnt 1738 2422 Pnt 1660 2371 Pnt 1582 2318 Pnt 1502 2262 Pnt 1422 2204 Pnt 1341 2144 Pnt 1259 2080 Pnt 1175 2015 Pnt 1090 1946 Pnt 1125 2441 Pnt 1261 2565 Pnt 1407 2695 Pnt 1565 2830 Pnt 1740 2970 Pnt 1937 3114 Pnt 2171 3260 Pnt 2477 3401 Pnt 2975 3516 Pnt 4543 3433 Pnt 926 2237 Pnt 1036 2354 Pnt 1166 2474 Pnt 1305 2601 Pnt 1455 2733 Pnt 1619 2870 Pnt 1800 3012 Pnt 2008 3157 Pnt 2261 3303 Pnt 2610 3440 Pnt 3263 3529 Pnt 956 2163 Pnt 855 2154 Pnt 958 2267 Pnt 1074 2386 Pnt 1207 2509 Pnt 1350 2637 Pnt 1505 2771 Pnt 1675 2911 Pnt 1864 3054 Pnt 2084 3201 Pnt 2361 3346 Pnt 2772 3476 Pnt 3721 3512 Pnt 1105 2169 Pnt 1024 2166 Pnt 927 2157 Pnt 885 2183 Pnt 989 2299 Pnt 1114 2419 Pnt 1250 2544 Pnt 1397 2675 Pnt 1557 2811 Pnt 1733 2952 Pnt 1931 3098 Pnt 2167 3245 Pnt 2476 3388 Pnt 2983 3504 Pnt 4639 3407 Pnt 1180 2140 Pnt 1150 2161 Pnt 1085 2166 Pnt 998 2160 Pnt 897 2150 Pnt 916 2213 Pnt 1023 2331 Pnt 1154 2453 Pnt 1295 2580 Pnt 1446 2713 Pnt 1611 2851 Pnt 1794 2995 Pnt 2003 3142 Pnt 2258 3289 Pnt 2611 3428 Pnt 3279 3517 Pnt 1139 2051 Pnt 1177 2108 Pnt 1177 2146 Pnt 1135 2161 Pnt 1062 2161 Pnt 970 2154 Pnt 865 2142 Pnt 947 2244 Pnt 1062 2364 Pnt 1196 2487 Pnt 1340 2617 Pnt 1496 2752 Pnt 1667 2893 Pnt 1858 3038 Pnt 2080 3186 Pnt 2359 3333 Pnt 2776 3464 Pnt 3758 3496 Pnt 1025 1927 Pnt 1096 1999 Pnt 1154 2066 Pnt 1183 2118 Pnt 1170 2149 Pnt 1118 2159 Pnt 1038 2156 Pnt 941 2147 Pnt 874 2159 Pnt 979 2275 Pnt 1102 2397 Pnt 1239 2523 Pnt 1388 2655 Pnt 1549 2792 Pnt 1726 2935 Pnt 1926 3082 Pnt 2163 3231 Pnt 2475 3376 Pnt 2991 3492 Pnt 4748 3378 Pnt 888 1795 Pnt 968 1869 Pnt 1045 1943 Pnt 1114 2015 Pnt 1166 2079 Pnt 1185 2126 Pnt 1160 2150 Pnt 1098 2156 Pnt 1012 2151 Pnt 911 2140 Pnt 905 2189 Pnt 1012 2308 Pnt 1143 2431 Pnt 1284 2559 Pnt 1437 2693 Pnt 1603 2833 Pnt 1787 2978 Pnt 1998 3126 Pnt 2255 3276 Pnt 2612 3416 Pnt 3296 3504 Pnt 941 1780 Pnt 859 1753 Pnt 909 1811 Pnt 990 1886 Pnt 1066 1960 Pnt 1132 2031 Pnt 1177 2091 Pnt 1184 2132 Pnt 1147 2150 Pnt 1076 2152 Pnt 984 2145 Pnt 879 2133 Pnt 936 2220 Pnt 1050 2341 Pnt 1185 2466 Pnt 1330 2596 Pnt 1487 2733 Pnt 1659 2875 Pnt 1852 3021 Pnt 2076 3171 Pnt 2358 3320 Pnt 1083 1904 Pnt 1002 1836 Pnt 920 1765 Pnt 849 1753 Pnt 931 1827 Pnt 1011 1902 Pnt 1085 1976 Pnt 1148 2046 Pnt 1184 2102 Pnt 1179 2137 Pnt 1130 2149 Pnt 1052 2147 Pnt 955 2138 Pnt 862 2134 Pnt 969 2252 Pnt 1090 2374 Pnt 1228 2501 Pnt 1378 2634 Pnt 1540 2773 Pnt 1719 2917 Pnt 1920 3066 Pnt 1224 2021 Pnt 1144 1957 Pnt 1063 1890 Pnt 981 1821 Pnt 899 1754 Pnt 871 1769 Pnt 953 1844 Pnt 1032 1919 Pnt 1105 1993 Pnt 1162 2060 Pnt 1188 2111 Pnt 1170 2139 Pnt 1111 2146 Pnt 1026 2142 Pnt 925 2131 Pnt 893 2165 Pnt 1002 2284 Pnt 1131 2409 Pnt 1273 2538 Pnt 1427 2673 Pnt 1595 2814 Pnt 1362 2132 Pnt 1284 2071 Pnt 1205 2009 Pnt 1124 1944 Pnt 1043 1877 Pnt 961 1807 Pnt 878 1747 Pnt 892 1785 Pnt 974 1861 Pnt 1053 1936 Pnt 1123 2009 Pnt 1174 2073 Pnt 1189 2118 Pnt 1158 2140 Pnt 1090 2143 Pnt 999 2135 Pnt 893 2123 Pnt 925 2196 Pnt 1037 2318 Pnt 1173 2444 Pnt 1320 2576 Pnt 1499 2235 Pnt 1422 2179 Pnt 1344 2121 Pnt 1265 2060 Pnt 1186 1997 Pnt 1105 1931 Pnt 1023 1863 Pnt 940 1792 Pnt 856 1740 Pnt 914 1802 Pnt 996 1878 Pnt 1074 1953 Pnt 1140 2025 Pnt 1184 2085 Pnt 1186 2124 Pnt 1143 2139 Pnt 1066 2138 Pnt 970 2129 Pnt 860 2115 Pnt 958 2228 Pnt 1077 2352 Pnt 1634 2333 Pnt 1558 2281 Pnt 1482 2226 Pnt 1404 2169 Pnt 1326 2110 Pnt 1247 2048 Pnt 1166 1984 Pnt 1085 1917 Pnt 1002 1848 Pnt 918 1777 Pnt 852 1743 Pnt 936 1818 Pnt 1018 1895 Pnt 1094 1970 Pnt 1156 2040 Pnt 1190 2095 Pnt 1179 2127 Pnt 1124 2137 Pnt 1041 2132 Pnt 939 2122 Pnt 882 2140 Pnt 1769 2424 Pnt 1693 2375 Pnt 1618 2325 Pnt 1542 2272 Pnt 1465 2216 Pnt 1387 2159 Pnt 1308 2099 Pnt 1228 2036 Pnt 1147 1971 Pnt 1064 1904 Pnt 981 1834 Pnt 897 1761 Pnt 874 1759 Pnt 958 1835 Pnt 1039 1912 Pnt 1113 1987 Pnt 1170 2054 Pnt 1193 2104 Pnt 1169 2129 Pnt 1104 2133 Pnt 1013 2126 Pnt 1905 2508 Pnt 1829 2464 Pnt 1753 2417 Pnt 1678 2367 Pnt 1602 2316 Pnt 1525 2262 Pnt 1447 2206 Pnt 1369 2148 Pnt 1289 2087 Pnt 1209 2024 Pnt 1127 1958 Pnt 1044 1890 Pnt 960 1819 Pnt 875 1746 Pnt 897 1776 Pnt 980 1852 Pnt 1061 1929 Pnt 1132 2003 Pnt 1182 2067 Pnt 1193 2110 Pnt 1155 2129 Pnt 2043 2586 Pnt 1966 2545 Pnt 1890 2502 Pnt 1814 2457 Pnt 1738 2409 Pnt 1662 2359 Pnt 1585 2307 Pnt 1508 2253 Pnt 1430 2196 Pnt 1351 2137 Pnt 1271 2075 Pnt 1189 2011 Pnt 1107 1945 Pnt 1023 1875 Pnt 938 1804 Pnt 853 1730 Pnt 919 1792 Pnt 1003 1870 Pnt 1082 1946 Pnt 1149 2019 Pnt 1191 2078 Pnt 2187 2657 Pnt 2107 2620 Pnt 2029 2581 Pnt 1951 2540 Pnt 1875 2496 Pnt 1799 2450 Pnt 1722 2402 Pnt 1646 2351 Pnt 1569 2298 Pnt 1491 2243 Pnt 1412 2186 Pnt 1333 2126 Pnt 1252 2063 Pnt 1170 1999 Pnt 1087 1931 Pnt 1002 1861 Pnt 917 1788 Pnt 856 1733 Pnt 941 1809 Pnt 1025 1887 Pnt 1102 1963 Pnt 2339 2721 Pnt 2255 2688 Pnt 2173 2653 Pnt 2093 2616 Pnt 2014 2576 Pnt 1937 2534 Pnt 1860 2489 Pnt 1783 2443 Pnt 1707 2394 Pnt 1630 2343 Pnt 1552 2289 Pnt 1474 2234 Pnt 1394 2175 Pnt 1314 2115 Pnt 1233 2051 Pnt 1150 1985 Pnt 1066 1917 Pnt 981 1846 Pnt 895 1773 Pnt 878 1749 Pnt 964 1827 Pnt 2506 2777 Pnt 2413 2749 Pnt 2325 2718 Pnt 2240 2685 Pnt 2158 2649 Pnt 2078 2611 Pnt 2000 2570 Pnt 1922 2528 Pnt 1845 2483 Pnt 1768 2436 Pnt 1691 2386 Pnt 1613 2334 Pnt 1535 2280 Pnt 1456 2224 Pnt 1376 2165 Pnt 1295 2103 Pnt 1213 2039 Pnt 1130 1972 Pnt 1045 1903 Pnt 959 1831 Pnt 873 1757 Pnt 2694 2824 Pnt 2589 2801 Pnt 2491 2775 Pnt 2398 2746 Pnt 2310 2715 Pnt 2226 2681 Pnt 2144 2644 Pnt 2064 2606 Pnt 1985 2565 Pnt 1907 2522 Pnt 1829 2476 Pnt 1752 2428 Pnt 1675 2378 Pnt 1597 2326 Pnt 1518 2271 Pnt 1438 2213 Pnt 1358 2154 Pnt 1276 2091 Pnt 1193 2026 Pnt 1109 1959 Pnt 1024 1888 Pnt 1220 2532 Pnt 1363 2659 Pnt 1516 2792 Pnt 1685 2930 Pnt 1873 3073 Pnt 2092 3218 Pnt 2368 3361 Pnt 2776 3489 Pnt 3711 3525 Pnt 1001 2324 Pnt 1127 2443 Pnt 1263 2567 Pnt 1409 2697 Pnt 1568 2832 Pnt 1742 2972 Pnt 1940 3116 Pnt 2174 3261 Pnt 2482 3403 Pnt 2985 3516 Pnt 4594 3426 Pnt 881 2159 Pnt 928 2238 Pnt 1038 2355 Pnt 1168 2476 Pnt 1307 2603 Pnt 1458 2734 Pnt 1621 2872 Pnt 1803 3014 Pnt 2011 3159 Pnt 2265 3305 Pnt 2616 3442 Pnt 3277 3529 Pnt 1047 2170 Pnt 955 2163 Pnt 857 2156 Pnt 959 2269 Pnt 1076 2388 Pnt 1209 2511 Pnt 1353 2639 Pnt 1508 2773 Pnt 1677 2912 Pnt 1867 3056 Pnt 2088 3203 Pnt 2366 3348 Pnt 2780 3477 Pnt 3745 3510 Pnt 1161 2161 Pnt 1104 2169 Pnt 1023 2165 Pnt 925 2156 Pnt 887 2185 Pnt 991 2301 Pnt 1116 2421 Pnt 1252 2546 Pnt 1400 2677 Pnt 1560 2813 Pnt 1735 2954 Pnt 1934 3100 Pnt 2171 3247 Pnt 2481 3390 Pnt 2992 3504 Pnt 4695 3399 Pnt 1170 2098 Pnt 1180 2141 Pnt 1149 2161 Pnt 1083 2165 Pnt 996 2160 Pnt 895 2149 Pnt 917 2214 Pnt 1026 2333 Pnt 1156 2454 Pnt 1297 2582 Pnt 1448 2715 Pnt 1614 2853 Pnt 1797 2997 Pnt 2006 3144 Pnt 2262 3291 Pnt 2617 3430 Pnt 3294 3516 Pnt 1079 1984 Pnt 1140 2052 Pnt 1178 2109 Pnt 1177 2146 Pnt 1134 2161 Pnt 1061 2161 Pnt 969 2153 Pnt 863 2142 Pnt 949 2245 Pnt 1064 2365 Pnt 1198 2489 Pnt 1343 2619 Pnt 1499 2754 Pnt 1670 2895 Pnt 1861 3040 Pnt 2084 3188 Pnt 2364 3335 Pnt 2783 3465 Pnt 3783 3494 Pnt 949 1854 Pnt 1026 1928 Pnt 1098 2000 Pnt 1155 2067 Pnt 1183 2119 Pnt 1170 2149 Pnt 1117 2159 Pnt 1037 2156 Pnt 939 2147 Pnt 875 2160 Pnt 981 2277 Pnt 1104 2398 Pnt 1242 2525 Pnt 1390 2656 Pnt 1551 2794 Pnt 1728 2937 Pnt 1929 3084 Pnt 2167 3233 Pnt 2480 3377 Pnt 3001 3492 Pnt 4810 3369 Pnt 878 1759 Pnt 890 1796 Pnt 970 1870 Pnt 1047 1945 Pnt 1116 2016 Pnt 1167 2080 Pnt 1185 2127 Pnt 1159 2151 Pnt 1097 2156 Pnt 1010 2150 Pnt 909 2140 Pnt 906 2190 Pnt 1014 2310 Pnt 1145 2433 Pnt 1286 2561 Pnt 1439 2695 Pnt 1606 2835 Pnt 1790 2980 Pnt 2001 3128 Pnt 2259 3277 Pnt 2618 3417 Pnt 1020 1849 Pnt 939 1779 Pnt 857 1753 Pnt 911 1812 Pnt 991 1887 Pnt 1067 1961 Pnt 1133 2032 Pnt 1177 2092 Pnt 1183 2133 Pnt 1146 2150 Pnt 1075 2152 Pnt 983 2144 Pnt 877 2132 Pnt 938 2221 Pnt 1052 2343 Pnt 1187 2467 Pnt 1333 2598 Pnt 1490 2735 Pnt 1662 2876 Pnt 1855 3023 Pnt 2079 3173 Pnt 1161 1968 Pnt 1081 1903 Pnt 1000 1834 Pnt 918 1764 Pnt 851 1755 Pnt 933 1829 Pnt 1012 1904 Pnt 1087 1978 Pnt 1149 2047 Pnt 1184 2103 Pnt 1178 2137 Pnt 1129 2149 Pnt 1051 2147 Pnt 954 2137 Pnt 864 2136 Pnt 971 2253 Pnt 1092 2376 Pnt 1231 2503 Pnt 1380 2636 Pnt 1543 2775 Pnt 1721 2919 Pnt 1300 2081 Pnt 1222 2020 Pnt 1142 1956 Pnt 1061 1889 Pnt 980 1820 Pnt 897 1753 Pnt 872 1771 Pnt 954 1845 Pnt 1034 1921 Pnt 1106 1994 Pnt 1163 2061 Pnt 1189 2112 Pnt 1169 2139 Pnt 1110 2146 Pnt 1025 2141 Pnt 923 2130 Pnt 895 2166 Pnt 1004 2286 Pnt 1133 2410 Pnt 1276 2540 Pnt 1430 2675 Pnt 1437 2188 Pnt 1360 2130 Pnt 1282 2070 Pnt 1203 2008 Pnt 1123 1943 Pnt 1041 1875 Pnt 959 1806 Pnt 876 1746 Pnt 894 1787 Pnt 976 1862 Pnt 1055 1937 Pnt 1124 2010 Pnt 1175 2074 Pnt 1189 2119 Pnt 1157 2140 Pnt 1088 2142 Pnt 997 2135 Pnt 891 2123 Pnt 927 2197 Pnt 1039 2320 Pnt 1176 2446 Pnt 1573 2288 Pnt 1497 2234 Pnt 1420 2178 Pnt 1342 2120 Pnt 1264 2059 Pnt 1184 1995 Pnt 1103 1929 Pnt 1021 1861 Pnt 938 1791 Pnt 854 1739 Pnt 916 1803 Pnt 998 1879 Pnt 1075 1954 Pnt 1142 2026 Pnt 1184 2086 Pnt 1186 2124 Pnt 1142 2139 Pnt 1065 2138 Pnt 968 2128 Pnt 858 2115 Pnt 960 2229 Pnt 1707 2382 Pnt 1632 2332 Pnt 1556 2279 Pnt 1480 2225 Pnt 1403 2168 Pnt 1324 2109 Pnt 1245 2047 Pnt 1165 1983 Pnt 1083 1916 Pnt 1000 1847 Pnt 917 1776 Pnt 854 1744 Pnt 938 1820 Pnt 1019 1896 Pnt 1095 1971 Pnt 1157 2041 Pnt 1191 2096 Pnt 1179 2127 Pnt 1123 2136 Pnt 1039 2132 Pnt 938 2121 Pnt 1842 2469 Pnt 1767 2423 Pnt 1692 2374 Pnt 1616 2323 Pnt 1540 2270 Pnt 1463 2215 Pnt 1385 2157 Pnt 1306 2097 Pnt 1226 2035 Pnt 1145 1970 Pnt 1063 1902 Pnt 979 1832 Pnt 895 1760 Pnt 876 1761 Pnt 960 1837 Pnt 1041 1913 Pnt 1115 1988 Pnt 1171 2055 Pnt 1193 2104 Pnt 1168 2129 Pnt 1102 2133 Pnt 1979 2550 Pnt 1903 2507 Pnt 1827 2463 Pnt 1752 2416 Pnt 1676 2366 Pnt 1600 2315 Pnt 1523 2261 Pnt 1446 2205 Pnt 1367 2147 Pnt 1288 2086 Pnt 1207 2023 Pnt 1125 1957 Pnt 1042 1888 Pnt 958 1818 Pnt 873 1744 Pnt 898 1777 Pnt 982 1854 Pnt 1062 1930 Pnt 1133 2004 Pnt 1183 2068 Pnt 1192 2111 Pnt 2119 2624 Pnt 2041 2585 Pnt 1964 2544 Pnt 1888 2501 Pnt 1812 2456 Pnt 1736 2408 Pnt 1660 2358 Pnt 1583 2306 Pnt 1506 2252 Pnt 1428 2195 Pnt 1349 2136 Pnt 1269 2074 Pnt 1188 2010 Pnt 1105 1943 Pnt 1021 1874 Pnt 937 1802 Pnt 851 1728 Pnt 921 1794 Pnt 1004 1871 Pnt 1083 1948 Pnt 1150 2020 Pnt 2267 2691 Pnt 2185 2657 Pnt 2105 2619 Pnt 2027 2580 Pnt 1950 2539 Pnt 1873 2495 Pnt 1797 2449 Pnt 1720 2401 Pnt 1644 2350 Pnt 1567 2297 Pnt 1489 2242 Pnt 1410 2185 Pnt 1331 2125 Pnt 1250 2062 Pnt 1168 1997 Pnt 1085 1930 Pnt 1000 1860 Pnt 915 1787 Pnt 858 1734 Pnt 943 1811 Pnt 1026 1888 Pnt 2425 2751 Pnt 2337 2721 Pnt 2252 2688 Pnt 2170 2652 Pnt 2091 2615 Pnt 2012 2575 Pnt 1935 2533 Pnt 1858 2488 Pnt 1781 2442 Pnt 1705 2393 Pnt 1628 2342 Pnt 1550 2288 Pnt 1472 2232 Pnt 1393 2174 Pnt 1312 2113 Pnt 1231 2050 Pnt 1148 1984 Pnt 1064 1916 Pnt 979 1845 Pnt 893 1771 Pnt 880 1751 Pnt 2602 2802 Pnt 2503 2777 Pnt 2411 2748 Pnt 2323 2717 Pnt 2238 2684 Pnt 2156 2648 Pnt 2076 2610 Pnt 1998 2569 Pnt 1920 2527 Pnt 1843 2482 Pnt 1766 2434 Pnt 1689 2385 Pnt 1611 2333 Pnt 1533 2279 Pnt 1454 2222 Pnt 1374 2163 Pnt 1293 2102 Pnt 1211 2038 Pnt 1128 1971 Pnt 1043 1902 Pnt 957 1830 Pnt 1320 2625 Pnt 1469 2756 Pnt 1632 2892 Pnt 1812 3032 Pnt 2019 3176 Pnt 2272 3320 Pnt 2621 3456 Pnt 3276 3542 Pnt 1090 2411 Pnt 1223 2534 Pnt 1365 2661 Pnt 1519 2794 Pnt 1687 2932 Pnt 1876 3074 Pnt 2096 3220 Pnt 2372 3363 Pnt 2784 3490 Pnt 3734 3523 Pnt 899 2210 Pnt 1003 2326 Pnt 1129 2444 Pnt 1265 2569 Pnt 1412 2698 Pnt 1570 2833 Pnt 1745 2973 Pnt 1943 3117 Pnt 2178 3263 Pnt 2487 3404 Pnt 2994 3517 Pnt 4647 3419 Pnt 981 2169 Pnt 879 2158 Pnt 930 2240 Pnt 1040 2357 Pnt 1170 2478 Pnt 1309 2604 Pnt 1460 2736 Pnt 1624 2873 Pnt 1806 3015 Pnt 2014 3161 Pnt 2269 3307 Pnt 2622 3443 Pnt 3291 3529 Pnt 1121 2171 Pnt 1046 2170 Pnt 953 2162 Pnt 858 2157 Pnt 961 2271 Pnt 1078 2389 Pnt 1212 2512 Pnt 1355 2641 Pnt 1510 2775 Pnt 1680 2914 Pnt 1870 3058 Pnt 2091 3205 Pnt 2370 3350 Pnt 2787 3478 Pnt 3770 3508 Pnt 1180 2135 Pnt 1160 2161 Pnt 1103 2169 Pnt 1021 2165 Pnt 924 2156 Pnt 888 2186 Pnt 993 2302 Pnt 1118 2422 Pnt 1255 2548 Pnt 1402 2678 Pnt 1562 2815 Pnt 1738 2956 Pnt 1938 3101 Pnt 2175 3249 Pnt 2486 3392 Pnt 3002 3505 Pnt 4753 3390 Pnt 1125 2039 Pnt 1170 2099 Pnt 1180 2141 Pnt 1148 2161 Pnt 1082 2165 Pnt 995 2159 Pnt 893 2149 Pnt 919 2216 Pnt 1028 2335 Pnt 1159 2456 Pnt 1299 2584 Pnt 1451 2717 Pnt 1616 2855 Pnt 1799 2998 Pnt 2010 3145 Pnt 2266 3293 Pnt 2623 3431 Pnt 3308 3516 Pnt 1007 1913 Pnt 1080 1985 Pnt 1141 2053 Pnt 1178 2110 Pnt 1176 2146 Pnt 1133 2161 Pnt 1059 2161 Pnt 967 2153 Pnt 861 2141 Pnt 951 2247 Pnt 1066 2367 Pnt 1201 2491 Pnt 1345 2621 Pnt 1501 2756 Pnt 1672 2896 Pnt 1864 3042 Pnt 2087 3190 Pnt 2368 3337 Pnt 2791 3466 Pnt 3809 3492 Pnt 870 1782 Pnt 950 1855 Pnt 1028 1929 Pnt 1099 2001 Pnt 1155 2068 Pnt 1183 2119 Pnt 1169 2149 Pnt 1115 2159 Pnt 1035 2156 Pnt 938 2146 Pnt 877 2162 Pnt 983 2279 Pnt 1106 2400 Pnt 1244 2526 Pnt 1393 2658 Pnt 1554 2796 Pnt 1731 2938 Pnt 1932 3086 Pnt 2171 3235 Pnt 2486 3379 Pnt 3011 3493 Pnt 958 1792 Pnt 877 1759 Pnt 891 1798 Pnt 972 1872 Pnt 1048 1946 Pnt 1117 2017 Pnt 1168 2081 Pnt 1185 2127 Pnt 1159 2151 Pnt 1095 2156 Pnt 1009 2150 Pnt 907 2139 Pnt 908 2192 Pnt 1016 2312 Pnt 1147 2434 Pnt 1289 2563 Pnt 1442 2697 Pnt 1608 2837 Pnt 1793 2981 Pnt 2005 3130 Pnt 2263 3279 Pnt 1099 1915 Pnt 1019 1847 Pnt 937 1778 Pnt 856 1752 Pnt 913 1814 Pnt 993 1888 Pnt 1069 1962 Pnt 1134 2033 Pnt 1178 2093 Pnt 1183 2133 Pnt 1145 2150 Pnt 1073 2151 Pnt 981 2144 Pnt 875 2132 Pnt 940 2223 Pnt 1054 2344 Pnt 1189 2469 Pnt 1335 2600 Pnt 1492 2736 Pnt 1665 2878 Pnt 1858 3025 Pnt 1239 2030 Pnt 1160 1967 Pnt 1080 1901 Pnt 998 1833 Pnt 917 1763 Pnt 852 1756 Pnt 934 1830 Pnt 1014 1905 Pnt 1088 1979 Pnt 1150 2048 Pnt 1185 2103 Pnt 1178 2137 Pnt 1128 2149 Pnt 1049 2147 Pnt 952 2137 Pnt 866 2138 Pnt 972 2255 Pnt 1094 2378 Pnt 1233 2505 Pnt 1383 2638 Pnt 1545 2777 Pnt 1376 2140 Pnt 1299 2080 Pnt 1220 2019 Pnt 1140 1954 Pnt 1060 1888 Pnt 978 1819 Pnt 895 1753 Pnt 874 1772 Pnt 956 1847 Pnt 1035 1922 Pnt 1107 1995 Pnt 1164 2062 Pnt 1189 2112 Pnt 1169 2139 Pnt 1109 2146 Pnt 1023 2141 Pnt 921 2130 Pnt 897 2168 Pnt 1006 2288 Pnt 1135 2412 Pnt 1278 2542 Pnt 1512 2243 Pnt 1436 2187 Pnt 1358 2129 Pnt 1280 2069 Pnt 1201 2006 Pnt 1121 1941 Pnt 1039 1874 Pnt 957 1804 Pnt 874 1746 Pnt 896 1788 Pnt 978 1863 Pnt 1056 1939 Pnt 1126 2011 Pnt 1176 2075 Pnt 1189 2119 Pnt 1156 2140 Pnt 1087 2142 Pnt 995 2135 Pnt 889 2122 Pnt 929 2199 Pnt 1041 2322 Pnt 1646 2339 Pnt 1571 2287 Pnt 1495 2233 Pnt 1418 2177 Pnt 1341 2118 Pnt 1262 2057 Pnt 1182 1994 Pnt 1101 1928 Pnt 1019 1860 Pnt 936 1789 Pnt 852 1739 Pnt 918 1804 Pnt 999 1880 Pnt 1077 1956 Pnt 1143 2027 Pnt 1185 2086 Pnt 1185 2124 Pnt 1140 2139 Pnt 1063 2137 Pnt 966 2128 Pnt 856 2114 Pnt 1780 2429 Pnt 1705 2381 Pnt 1630 2331 Pnt 1555 2278 Pnt 1478 2224 Pnt 1401 2167 Pnt 1323 2107 Pnt 1243 2046 Pnt 1163 1981 Pnt 1081 1915 Pnt 998 1846 Pnt 915 1774 Pnt 856 1746 Pnt 940 1821 Pnt 1021 1897 Pnt 1097 1972 Pnt 1158 2042 Pnt 1191 2097 Pnt 1178 2128 Pnt 1122 2136 Pnt 1038 2132 Pnt 1915 2512 Pnt 1840 2468 Pnt 1765 2422 Pnt 1690 2373 Pnt 1614 2322 Pnt 1538 2269 Pnt 1461 2214 Pnt 1383 2156 Pnt 1304 2096 Pnt 1224 2034 Pnt 1143 1969 Pnt 1061 1901 Pnt 977 1831 Pnt 893 1759 Pnt 878 1762 Pnt 962 1838 Pnt 1043 1915 Pnt 1116 1989 Pnt 1172 2056 Pnt 1193 2105 Pnt 1167 2129 Pnt 2053 2589 Pnt 1977 2549 Pnt 1901 2506 Pnt 1825 2462 Pnt 1750 2415 Pnt 1674 2365 Pnt 1598 2314 Pnt 1521 2260 Pnt 1444 2204 Pnt 1365 2146 Pnt 1286 2085 Pnt 1205 2021 Pnt 1123 1955 Pnt 1040 1887 Pnt 956 1816 Pnt 872 1743 Pnt 900 1778 Pnt 984 1855 Pnt 1064 1932 Pnt 1134 2005 Pnt 1183 2069 Pnt 2197 2660 Pnt 2117 2623 Pnt 2039 2584 Pnt 1962 2543 Pnt 1886 2500 Pnt 1810 2455 Pnt 1734 2407 Pnt 1658 2357 Pnt 1582 2305 Pnt 1504 2251 Pnt 1426 2194 Pnt 1347 2135 Pnt 1267 2073 Pnt 1186 2009 Pnt 1103 1942 Pnt 1020 1873 Pnt 935 1801 Pnt 850 1727 Pnt 922 1795 Pnt 1006 1872 Pnt 1085 1949 Pnt 2349 2723 Pnt 2265 2691 Pnt 2183 2656 Pnt 2103 2619 Pnt 2025 2579 Pnt 1948 2538 Pnt 1871 2494 Pnt 1795 2448 Pnt 1719 2400 Pnt 1642 2349 Pnt 1565 2296 Pnt 1487 2241 Pnt 1409 2183 Pnt 1329 2123 Pnt 1248 2061 Pnt 1166 1996 Pnt 1083 1928 Pnt 999 1858 Pnt 913 1786 Pnt 859 1735 Pnt 945 1812 Pnt 2516 2778 Pnt 2423 2750 Pnt 2335 2720 Pnt 2250 2687 Pnt 2168 2652 Pnt 2089 2614 Pnt 2010 2574 Pnt 1933 2532 Pnt 1856 2487 Pnt 1780 2441 Pnt 1703 2392 Pnt 1626 2341 Pnt 1548 2287 Pnt 1470 2231 Pnt 1391 2173 Pnt 1310 2112 Pnt 1229 2049 Pnt 1146 1983 Pnt 1062 1914 Pnt 977 1843 Pnt 891 1770 Pnt 1423 2720 Pnt 1581 2854 Pnt 1755 2992 Pnt 1951 3135 Pnt 2185 3279 Pnt 2493 3419 Pnt 2997 3530 Pnt 4604 3438 Pnt 1183 2501 Pnt 1322 2627 Pnt 1471 2757 Pnt 1634 2893 Pnt 1815 3034 Pnt 2023 3178 Pnt 2276 3322 Pnt 2627 3457 Pnt 3290 3542 Pnt 973 2296 Pnt 1092 2413 Pnt 1225 2535 Pnt 1367 2663 Pnt 1521 2796 Pnt 1690 2934 Pnt 1879 3076 Pnt 2099 3221 Pnt 2377 3365 Pnt 2791 3491 Pnt 3758 3521 Pnt 908 2165 Pnt 901 2212 Pnt 1005 2327 Pnt 1132 2446 Pnt 1268 2570 Pnt 1414 2700 Pnt 1573 2835 Pnt 1748 2975 Pnt 1946 3119 Pnt 2182 3265 Pnt 2492 3406 Pnt 3004 3518 Pnt 4702 3411 Pnt 1067 2174 Pnt 979 2168 Pnt 878 2158 Pnt 932 2242 Pnt 1042 2359 Pnt 1172 2480 Pnt 1312 2606 Pnt 1462 2738 Pnt 1627 2875 Pnt 1809 3017 Pnt 2018 3163 Pnt 2273 3308 Pnt 2628 3445 Pnt 3306 3529 Pnt 1168 2159 Pnt 1120 2171 Pnt 1044 2170 Pnt 951 2162 Pnt 860 2159 Pnt 963 2272 Pnt 1080 2391 Pnt 1214 2514 Pnt 1357 2643 Pnt 1513 2777 Pnt 1683 2916 Pnt 1873 3060 Pnt 2095 3207 Pnt 2375 3351 Pnt 2795 3479 Pnt 3795 3506 Pnt 1160 2088 Pnt 1181 2135 Pnt 1159 2161 Pnt 1101 2168 Pnt 1019 2165 Pnt 922 2155 Pnt 890 2188 Pnt 995 2304 Pnt 1120 2424 Pnt 1257 2549 Pnt 1404 2680 Pnt 1565 2816 Pnt 1741 2958 Pnt 1941 3103 Pnt 2178 3251 Pnt 2491 3393 Pnt 3012 3506 Pnt 4814 3381 Pnt 1062 1970 Pnt 1127 2040 Pnt 1171 2100 Pnt 1180 2142 Pnt 1147 2161 Pnt 1081 2165 Pnt 993 2159 Pnt 891 2148 Pnt 921 2218 Pnt 1030 2336 Pnt 1161 2458 Pnt 1301 2585 Pnt 1453 2719 Pnt 1619 2857 Pnt 1802 3000 Pnt 2013 3147 Pnt 2270 3295 Pnt 2629 3433 Pnt 3323 3516 Pnt 931 1840 Pnt 1009 1914 Pnt 1081 1987 Pnt 1142 2055 Pnt 1179 2111 Pnt 1176 2146 Pnt 1132 2161 Pnt 1058 2161 Pnt 965 2153 Pnt 860 2141 Pnt 952 2249 Pnt 1068 2369 Pnt 1203 2493 Pnt 1347 2622 Pnt 1504 2758 Pnt 1675 2898 Pnt 1867 3043 Pnt 2091 3192 Pnt 2373 3338 Pnt 2799 3467 Pnt 3836 3489 Pnt 896 1765 Pnt 872 1783 Pnt 952 1857 Pnt 1029 1930 Pnt 1100 2003 Pnt 1156 2069 Pnt 1184 2120 Pnt 1169 2149 Pnt 1114 2159 Pnt 1033 2155 Pnt 936 2146 Pnt 879 2164 Pnt 985 2281 Pnt 1108 2402 Pnt 1246 2528 Pnt 1395 2660 Pnt 1556 2798 Pnt 1734 2940 Pnt 1935 3087 Pnt 2175 3236 Pnt 2491 3380 Pnt 1037 1860 Pnt 956 1791 Pnt 875 1758 Pnt 893 1799 Pnt 973 1873 Pnt 1050 1947 Pnt 1118 2018 Pnt 1169 2082 Pnt 1185 2128 Pnt 1158 2151 Pnt 1094 2155 Pnt 1007 2150 Pnt 905 2139 Pnt 910 2194 Pnt 1018 2313 Pnt 1149 2436 Pnt 1291 2565 Pnt 1444 2699 Pnt 1611 2839 Pnt 1796 2983 Pnt 2008 3132 Pnt 1177 1978 Pnt 1098 1913 Pnt 1017 1846 Pnt 936 1776 Pnt 854 1752 Pnt 914 1815 Pnt 994 1890 Pnt 1070 1964 Pnt 1135 2034 Pnt 1178 2094 Pnt 1183 2133 Pnt 1144 2150 Pnt 1072 2151 Pnt 979 2143 Pnt 873 2131 Pnt 942 2225 Pnt 1056 2346 Pnt 1192 2471 Pnt 1337 2602 Pnt 1495 2738 Pnt 1668 2880 Pnt 1315 2090 Pnt 1237 2029 Pnt 1158 1966 Pnt 1078 1900 Pnt 997 1832 Pnt 915 1762 Pnt 854 1757 Pnt 936 1831 Pnt 1016 1906 Pnt 1090 1980 Pnt 1151 2049 Pnt 1185 2104 Pnt 1177 2137 Pnt 1127 2149 Pnt 1048 2146 Pnt 950 2137 Pnt 867 2139 Pnt 974 2257 Pnt 1096 2380 Pnt 1235 2507 Pnt 1385 2640 Pnt 1451 2196 Pnt 1374 2139 Pnt 1297 2079 Pnt 1218 2017 Pnt 1139 1953 Pnt 1058 1886 Pnt 976 1818 Pnt 894 1752 Pnt 876 1773 Pnt 958 1848 Pnt 1037 1923 Pnt 1109 1996 Pnt 1165 2063 Pnt 1189 2113 Pnt 1168 2139 Pnt 1107 2146 Pnt 1021 2141 Pnt 919 2129 Pnt 899 2170 Pnt 1008 2290 Pnt 1137 2414 Pnt 1585 2295 Pnt 1510 2241 Pnt 1434 2186 Pnt 1357 2128 Pnt 1279 2068 Pnt 1199 2005 Pnt 1119 1940 Pnt 1038 1873 Pnt 955 1803 Pnt 872 1745 Pnt 897 1789 Pnt 979 1865 Pnt 1058 1940 Pnt 1127 2012 Pnt 1176 2076 Pnt 1189 2120 Pnt 1155 2140 Pnt 1086 2142 Pnt 994 2134 Pnt 887 2122 Pnt 931 2201 Pnt 1719 2387 Pnt 1644 2338 Pnt 1569 2286 Pnt 1493 2232 Pnt 1417 2176 Pnt 1339 2117 Pnt 1260 2056 Pnt 1180 1993 Pnt 1099 1927 Pnt 1017 1859 Pnt 934 1788 Pnt 851 1738 Pnt 919 1806 Pnt 1001 1882 Pnt 1078 1957 Pnt 1144 2028 Pnt 1185 2087 Pnt 1185 2125 Pnt 1139 2139 Pnt 1062 2137 Pnt 965 2127 Pnt 1853 2474 Pnt 1778 2428 Pnt 1704 2380 Pnt 1628 2330 Pnt 1553 2277 Pnt 1476 2223 Pnt 1399 2165 Pnt 1321 2106 Pnt 1241 2044 Pnt 1161 1980 Pnt 1079 1913 Pnt 997 1844 Pnt 913 1773 Pnt 858 1747 Pnt 941 1822 Pnt 1023 1899 Pnt 1098 1974 Pnt 1159 2043 Pnt 1191 2097 Pnt 1178 2128 Pnt 1121 2136 Pnt 1989 2554 Pnt 1914 2511 Pnt 1838 2467 Pnt 1763 2421 Pnt 1688 2372 Pnt 1612 2321 Pnt 1536 2268 Pnt 1459 2213 Pnt 1381 2155 Pnt 1303 2095 Pnt 1223 2032 Pnt 1141 1967 Pnt 1059 1900 Pnt 976 1830 Pnt 891 1757 Pnt 880 1763 Pnt 963 1839 Pnt 1044 1916 Pnt 1117 1990 Pnt 1173 2057 Pnt 1194 2105 Pnt 2129 2627 Pnt 2052 2589 Pnt 1975 2548 Pnt 1899 2505 Pnt 1823 2461 Pnt 1748 2413 Pnt 1672 2364 Pnt 1596 2313 Pnt 1519 2259 Pnt 1442 2203 Pnt 1364 2144 Pnt 1284 2083 Pnt 1203 2020 Pnt 1122 1954 Pnt 1039 1886 Pnt 954 1815 Pnt 870 1742 Pnt 902 1780 Pnt 985 1856 Pnt 1065 1933 Pnt 1136 2006 Pnt 2277 2693 Pnt 2195 2659 Pnt 2115 2622 Pnt 2037 2584 Pnt 1960 2542 Pnt 1884 2499 Pnt 1808 2454 Pnt 1732 2406 Pnt 1656 2356 Pnt 1580 2304 Pnt 1503 2249 Pnt 1425 2193 Pnt 1345 2133 Pnt 1265 2072 Pnt 1184 2007 Pnt 1101 1941 Pnt 1018 1871 Pnt 933 1800 Pnt 848 1726 Pnt 924 1797 Pnt 1008 1874 Pnt 2435 2752 Pnt 2347 2722 Pnt 2262 2690 Pnt 2181 2655 Pnt 2101 2618 Pnt 2023 2578 Pnt 1946 2537 Pnt 1869 2493 Pnt 1793 2447 Pnt 1717 2398 Pnt 1640 2348 Pnt 1563 2295 Pnt 1485 2240 Pnt 1407 2182 Pnt 1327 2122 Pnt 1246 2060 Pnt 1164 1995 Pnt 1081 1927 Pnt 997 1857 Pnt 911 1784 Pnt 861 1737 Pnt 1.000 UL LTb 5204 1496 M 3608 567 L 843 1103 M 3608 567 L 843 1103 M 1596 930 V 5204 1496 M 2439 2033 L 843 1103 M 0 1860 V 0 -1860 R 54 31 V 770 1032 M (0) Cshow 2439 2033 M -55 -32 V 1396 996 M 54 31 V 1323 925 M (2) Cshow 2992 1926 M -55 -32 V 1949 889 M 54 31 V 1876 818 M (4) Cshow 3545 1818 M -55 -32 V 2502 781 M 54 31 V 2429 710 M (6) Cshow 4098 1711 M -55 -32 V 3055 674 M 54 31 V 2982 603 M (8) Cshow 4651 1604 M -55 -32 V 3608 567 M 54 31 V 3535 496 M (10) Cshow 5204 1496 M -55 -32 V 1827 603 M (a_var) Cshow 3608 567 M -62 12 V 144 -39 R (0) Lshow 843 1103 M 61 -13 V 4158 887 M -62 12 V 144 -39 R (1) Lshow 1394 1424 M 61 -13 V 4709 1208 M -62 12 V 144 -39 R (2) Lshow 1945 1745 M 61 -13 V 5097 897 M (e_var) Cshow 843 1723 M 63 0 V -189 0 R (0) Rshow 843 1930 M 63 0 V -189 0 R (0.2) Rshow 843 2136 M 63 0 V -189 0 R (0.4) Rshow 843 2343 M 63 0 V -189 0 R (0.6) Rshow 843 2550 M 63 0 V -189 0 R (0.8) Rshow 843 2756 M 63 0 V -189 0 R (1) Rshow 843 2963 M 63 0 V -189 0 R (1.2) Rshow 843 3428 M (i_var) Cshow stroke grestore end showpage %%Trailer %%DocumentFonts: Helvetica %%Pages: 1 %%EndDocument @endspecial 212 4960 a(Figure)26 b(4:)g(Grid)f(o)m(v)m(er)i(the)f (latitudes)f(with)g(amplitude)f(equal)h(to)i(0)p Fj(:)p Fn(1)2597 4927 y Fi(o)2637 4960 y Fn(:)f(the)g(n)m(um)m(b)s(er)f(of)h (con)m(v)m(ergen)m(t)i(orbits)212 5073 y(is)i(8830.)i(Axis:)e Fj(a)822 5087 y Fi(v)r(ar)934 5073 y Fn(,)h Fj(e)1032 5087 y Fi(v)r(ar)1144 5073 y Fn(,)g Fj(i)1231 5087 y Fi(v)r(ar)1343 5073 y Fn(.)2033 5964 y(41)p eop %%Page: 42 42 42 41 bop 1074 2133 a @beginspecial 50 @llx 50 @lly 654 @urx 482 @ury 2409 @rwi @setspecial %%BeginDocument: fig5.ps %!PS-Adobe-2.0 %%Title: fig5.ps %%Creator: gnuplot 3.7 patchlevel 1 %%CreationDate: Tue May 11 22:17:13 2004 %%DocumentFonts: (atend) %%BoundingBox: 50 50 654 482 %%Orientation: Portrait %%Pages: (atend) %%EndComments /gnudict 256 dict def gnudict begin /Color false def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -46 def /dl {10 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth } def /AL { stroke userlinewidth 2 div setlinewidth } def /UL { dup gnulinewidth mul /userlinewidth exch def 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def end %%EndProlog %%Page: 1 1 gnudict begin gsave 50 50 translate 0.100 0.100 scale 0 setgray newpath (Helvetica) findfont 140 scalefont setfont 1.000 UL LTb 1.000 UL LT0 1023 1850 Pnt 1008 2062 Pnt 2539 3148 Pnt 2556 2690 Pnt 1673 2320 Pnt 891 1752 Pnt 1047 2191 Pnt 4574 2640 Pnt 2391 2663 Pnt 1491 2226 Pnt 1132 1931 Pnt 1582 2583 Pnt 4016 2724 Pnt 2224 2625 Pnt 1284 2108 Pnt 1164 2011 Pnt 2566 3055 Pnt 3593 2776 Pnt 2050 2571 Pnt 1042 1958 Pnt 921 1970 Pnt 3253 2804 Pnt 1861 2499 Pnt 930 1854 Pnt 1482 2413 Pnt 2432 3123 Pnt 3017 3130 Pnt 2965 2813 Pnt 1649 2401 Pnt 1227 1952 Pnt 2633 2965 Pnt 1679 2933 Pnt 1919 3019 Pnt 2228 3093 Pnt 2685 3137 Pnt 3828 3042 Pnt 2707 2803 Pnt 1401 2269 Pnt 995 1859 Pnt 1742 2961 Pnt 2033 3050 Pnt 2419 3120 Pnt 3146 3120 Pnt 2463 2773 Pnt 1099 2089 Pnt 1348 2215 Pnt 1618 2878 Pnt 1836 2992 Pnt 2184 3083 Pnt 2720 3136 Pnt 4579 2925 Pnt 2217 2717 Pnt 968 1962 Pnt 2784 2877 Pnt 1660 2912 Pnt 1957 3027 Pnt 2400 3116 Pnt 3362 3099 Pnt 1951 2627 Pnt 1251 2028 Pnt 1723 2951 Pnt 2121 3067 Pnt 2771 3134 Pnt 1639 2488 Pnt 1162 1963 Pnt 1849 2992 Pnt 2369 3110 Pnt 3822 3040 Pnt 4349 2786 Pnt 2027 3042 Pnt 2853 3131 Pnt 2316 3100 Pnt 1171 2091 Pnt 1693 2752 Pnt 1816 2385 Pnt 1005 1837 Pnt 991 2057 Pnt 2603 3162 Pnt 5096 2549 Pnt 2527 2684 Pnt 1653 2309 Pnt 910 1766 Pnt 1071 2209 Pnt 4400 2664 Pnt 2364 2656 Pnt 1471 2214 Pnt 1147 1943 Pnt 1613 2603 Pnt 3894 2737 Pnt 2198 2616 Pnt 1263 2095 Pnt 1149 2007 Pnt 2643 3071 Pnt 3503 2782 Pnt 2025 2561 Pnt 1019 1943 Pnt 945 1991 Pnt 3579 3077 Pnt 3183 2806 Pnt 1836 2487 Pnt 954 1862 Pnt 1517 2437 Pnt 2111 3071 Pnt 2462 3127 Pnt 3077 3127 Pnt 2908 2811 Pnt 1623 2387 Pnt 1239 1953 Pnt 2736 2981 Pnt 1689 2943 Pnt 1940 3027 Pnt 2255 3099 Pnt 2728 3139 Pnt 3983 3021 Pnt 2659 2797 Pnt 1373 2253 Pnt 965 1848 Pnt 1595 2861 Pnt 1764 2970 Pnt 2058 3057 Pnt 2454 3124 Pnt 3227 3114 Pnt 2421 2763 Pnt 1068 2069 Pnt 1389 2244 Pnt 1631 2890 Pnt 1861 3001 Pnt 2214 3090 Pnt 2774 3137 Pnt 4936 2865 Pnt 2178 2704 Pnt 1001 1974 Pnt 2951 2890 Pnt 1673 2925 Pnt 1986 3036 Pnt 2441 3121 Pnt 3489 3086 Pnt 1913 2611 Pnt 1226 2006 Pnt 1752 2962 Pnt 2157 3076 Pnt 2840 3134 Pnt 1599 2467 Pnt 1883 3004 Pnt 2419 3116 Pnt 4087 3002 Pnt 2070 3054 Pnt 2954 3128 Pnt 1724 2949 Pnt 1215 2412 Pnt 1190 1954 Pnt 1169 2094 Pnt 1721 2770 Pnt 2662 2697 Pnt 1797 2375 Pnt 987 1824 Pnt 973 2051 Pnt 2672 3174 Pnt 4866 2586 Pnt 2499 2678 Pnt 1634 2298 Pnt 929 1779 Pnt 1095 2227 Pnt 4245 2685 Pnt 2338 2649 Pnt 1451 2202 Pnt 1161 1955 Pnt 1644 2623 Pnt 3784 2749 Pnt 2173 2607 Pnt 1241 2081 Pnt 1132 2003 Pnt 2730 3084 Pnt 3420 2787 Pnt 2000 2550 Pnt 996 1927 Pnt 969 2012 Pnt 2732 3140 Pnt 3683 3064 Pnt 3119 2806 Pnt 1810 2474 Pnt 978 1870 Pnt 1552 2460 Pnt 1866 3006 Pnt 2134 3077 Pnt 2493 3130 Pnt 3140 3123 Pnt 2855 2807 Pnt 1596 2373 Pnt 1246 1952 Pnt 2856 2994 Pnt 1575 2847 Pnt 1706 2951 Pnt 1962 3034 Pnt 2282 3104 Pnt 2773 3140 Pnt 4162 2994 Pnt 2614 2791 Pnt 1345 2236 Pnt 934 1838 Pnt 1607 2872 Pnt 1786 2978 Pnt 2083 3064 Pnt 2490 3128 Pnt 3316 3107 Pnt 2381 2754 Pnt 1038 2050 Pnt 1431 2272 Pnt 1644 2901 Pnt 1886 3009 Pnt 2245 3096 Pnt 2830 3137 Pnt 2140 2691 Pnt 1034 1986 Pnt 3167 2893 Pnt 1686 2937 Pnt 2015 3045 Pnt 2483 3126 Pnt 3634 3069 Pnt 1875 2594 Pnt 1197 1982 Pnt 1782 2973 Pnt 2193 3084 Pnt 2916 3133 Pnt 4830 2706 Pnt 1918 3015 Pnt 2471 3123 Pnt 4424 2950 Pnt 2114 3065 Pnt 3067 3123 Pnt 2718 3275 Pnt 1086 2000 Pnt 1236 2428 Pnt 1927 2428 Pnt 1172 1943 Pnt 1165 2095 Pnt 1750 2787 Pnt 2632 2692 Pnt 1778 2365 Pnt 969 1812 Pnt 954 2046 Pnt 2748 3186 Pnt 4667 2616 Pnt 2471 2672 Pnt 1614 2287 Pnt 947 1793 Pnt 1119 2245 Pnt 4108 2702 Pnt 2312 2641 Pnt 1430 2190 Pnt 1174 1966 Pnt 1676 2643 Pnt 3684 2758 Pnt 2148 2598 Pnt 1220 2067 Pnt 1115 1997 Pnt 2827 3096 Pnt 4903 2872 Pnt 3344 2791 Pnt 1975 2540 Pnt 974 1912 Pnt 993 2033 Pnt 2333 3114 Pnt 2771 3141 Pnt 3798 3049 Pnt 3058 2806 Pnt 1786 2462 Pnt 1002 1879 Pnt 1588 2484 Pnt 1675 2932 Pnt 1886 3013 Pnt 2157 3083 Pnt 2524 3133 Pnt 3208 3119 Pnt 2805 2804 Pnt 1570 2358 Pnt 1249 1948 Pnt 2999 3003 Pnt 1586 2857 Pnt 1726 2959 Pnt 1984 3041 Pnt 2309 3109 Pnt 2821 3140 Pnt 4371 2962 Pnt 2571 2784 Pnt 1317 2219 Pnt 903 1827 Pnt 1619 2882 Pnt 1809 2986 Pnt 2109 3071 Pnt 2526 3132 Pnt 3414 3097 Pnt 2341 2744 Pnt 1008 2030 Pnt 1473 2301 Pnt 1657 2913 Pnt 1911 3018 Pnt 2277 3103 Pnt 2890 3137 Pnt 2103 2678 Pnt 1066 1998 Pnt 3468 2880 Pnt 1706 2949 Pnt 2045 3053 Pnt 2527 3130 Pnt 3802 3047 Pnt 1837 2577 Pnt 1811 2984 Pnt 2230 3092 Pnt 2998 3130 Pnt 1952 3026 Pnt 2525 3128 Pnt 4872 2876 Pnt 1678 2927 Pnt 2159 3076 Pnt 896 2154 Pnt 2788 3285 Pnt 1336 2041 Pnt 1098 2010 Pnt 1258 2444 Pnt 2766 2699 Pnt 1909 2419 Pnt 1155 1931 Pnt 1160 2096 Pnt 1779 2805 Pnt 2603 2687 Pnt 1759 2356 Pnt 950 1799 Pnt 936 2040 Pnt 2833 3196 Pnt 4492 2641 Pnt 2445 2666 Pnt 1595 2276 Pnt 966 1806 Pnt 1143 2263 Pnt 3985 2717 Pnt 2287 2634 Pnt 1410 2178 Pnt 1185 1976 Pnt 1708 2663 Pnt 3593 2766 Pnt 2124 2589 Pnt 1198 2053 Pnt 1097 1992 Pnt 2938 3105 Pnt 3133 3126 Pnt 5195 2822 Pnt 3274 2794 Pnt 1951 2529 Pnt 951 1896 Pnt 1017 2054 Pnt 2060 3063 Pnt 2358 3118 Pnt 2812 3142 Pnt 3926 3032 Pnt 3001 2805 Pnt 1761 2450 Pnt 1025 1887 Pnt 1625 2507 Pnt 1568 2844 Pnt 1684 2941 Pnt 1905 3020 Pnt 2180 3088 Pnt 2557 3136 Pnt 3282 3113 Pnt 2758 2799 Pnt 1545 2344 Pnt 1247 1942 Pnt 3175 3004 Pnt 1598 2866 Pnt 1746 2967 Pnt 2006 3047 Pnt 2338 3114 Pnt 2870 3140 Pnt 4618 2922 Pnt 2529 2776 Pnt 1290 2202 Pnt 872 1816 Pnt 1631 2893 Pnt 1831 2994 Pnt 2135 3077 Pnt 2565 3135 Pnt 3523 3086 Pnt 2303 2733 Pnt 978 2010 Pnt 1516 2329 Pnt 1669 2924 Pnt 1936 3026 Pnt 2309 3108 Pnt 2954 3135 Pnt 2066 2665 Pnt 1097 2010 Pnt 1731 2959 Pnt 2074 3061 Pnt 2573 3134 Pnt 4000 3020 Pnt 1840 2994 Pnt 2268 3100 Pnt 3089 3126 Pnt 1639 2895 Pnt 1988 3037 Pnt 2583 3132 Pnt 1700 2944 Pnt 1870 2952 Pnt 925 1878 Pnt 912 2169 Pnt 2866 3293 Pnt 2029 2462 Pnt 1319 2030 Pnt 1109 2020 Pnt 1280 2460 Pnt 2734 2695 Pnt 1890 2410 Pnt 1138 1920 Pnt 1153 2096 Pnt 1808 2822 Pnt 4959 2561 Pnt 2575 2682 Pnt 1741 2346 Pnt 932 1786 Pnt 917 2034 Pnt 2928 3204 Pnt 4337 2662 Pnt 2418 2659 Pnt 1576 2266 Pnt 984 1820 Pnt 1168 2281 Pnt 3874 2729 Pnt 2262 2626 Pnt 1390 2165 Pnt 1195 1986 Pnt 1740 2683 Pnt 3509 2772 Pnt 2100 2580 Pnt 1177 2040 Pnt 1078 1986 Pnt 3068 3110 Pnt 2579 3139 Pnt 3192 3122 Pnt 3208 2795 Pnt 1927 2519 Pnt 928 1881 Pnt 1041 2075 Pnt 1841 3001 Pnt 2080 3068 Pnt 2383 3122 Pnt 2854 3141 Pnt 4069 3011 Pnt 2948 2803 Pnt 1736 2437 Pnt 1048 1895 Pnt 1661 2531 Pnt 1579 2853 Pnt 1694 2950 Pnt 1925 3026 Pnt 2203 3094 Pnt 2591 3139 Pnt 3361 3105 Pnt 2712 2794 Pnt 1519 2330 Pnt 1241 1935 Pnt 3403 2996 Pnt 1609 2876 Pnt 1766 2975 Pnt 2029 3054 Pnt 2366 3119 Pnt 2923 3139 Pnt 4915 2873 Pnt 2489 2768 Pnt 1262 2185 Pnt 887 1832 Pnt 1643 2903 Pnt 1853 3002 Pnt 2161 3084 Pnt 2604 3138 Pnt 3645 3071 Pnt 2267 2723 Pnt 948 1990 Pnt 1559 2358 Pnt 1681 2936 Pnt 1962 3034 Pnt 2342 3114 Pnt 3024 3133 Pnt 2031 2651 Pnt 1757 2968 Pnt 2105 3069 Pnt 2621 3137 Pnt 4237 2984 Pnt 1870 3005 Pnt 2307 3107 Pnt 3189 3119 Pnt 1656 2911 Pnt 2023 3047 Pnt 2644 3136 Pnt 1026 2159 Pnt 1898 2967 Pnt 1465 2112 Pnt 940 1889 Pnt 928 2183 Pnt 2952 3300 Pnt 2869 2698 Pnt 2011 2454 Pnt 1302 2020 Pnt 1120 2029 Pnt 1303 2476 Pnt 2704 2691 Pnt 1872 2402 Pnt 1120 1908 Pnt 1146 2096 Pnt 1838 2839 Pnt 4760 2591 Pnt 2547 2677 Pnt 1722 2336 Pnt 914 1774 Pnt 898 2028 Pnt 3036 3209 Pnt 4198 2681 Pnt 2393 2653 Pnt 1556 2255 Pnt 1001 1833 Pnt 1192 2299 Pnt 3772 2739 Pnt 2237 2618 Pnt 1370 2153 Pnt 1203 1994 Pnt 1773 2703 Pnt 3771 3054 Pnt 3432 2776 Pnt 2076 2571 Pnt 1156 2026 Pnt 1058 1979 Pnt 3225 3110 Pnt 2256 3105 Pnt 2609 3141 Pnt 3254 3117 Pnt 3146 2796 Pnt 1903 2508 Pnt 906 1865 Pnt 1065 2097 Pnt 1671 2932 Pnt 1858 3008 Pnt 2100 3074 Pnt 2409 3126 Pnt 2899 3141 Pnt 4232 2986 Pnt 2897 2800 Pnt 1712 2425 Pnt 1070 1902 Pnt 1699 2554 Pnt 1590 2862 Pnt 1712 2958 Pnt 1945 3033 Pnt 2227 3099 Pnt 2625 3141 Pnt 3448 3097 Pnt 2669 2789 Pnt 1493 2315 Pnt 1230 1934 Pnt 3717 2972 Pnt 1620 2886 Pnt 1786 2982 Pnt 2051 3061 Pnt 2396 3123 Pnt 2979 3137 Pnt 2451 2760 Pnt 1235 2168 Pnt 916 1856 Pnt 1654 2914 Pnt 1875 3010 Pnt 2188 3090 Pnt 2645 3141 Pnt 3782 3054 Pnt 2231 2712 Pnt 918 1970 Pnt 1692 2947 Pnt 1987 3042 Pnt 2376 3119 Pnt 3098 3129 Pnt 1782 2978 Pnt 2135 3077 Pnt 2672 3140 Pnt 4528 2938 Pnt 1623 2885 Pnt 1900 3015 Pnt 2347 3114 Pnt 3300 3110 Pnt 1672 2926 Pnt 2060 3057 Pnt 1419 2651 Pnt 921 1843 Pnt 1014 2156 Pnt 1926 2982 Pnt 2124 2490 Pnt 1449 2102 Pnt 954 1900 Pnt 944 2198 Pnt 3048 3304 Pnt 2836 2695 Pnt 1993 2447 Pnt 1286 2009 Pnt 1130 2038 Pnt 1325 2492 Pnt 2675 2687 Pnt 1854 2393 Pnt 1103 1897 Pnt 1137 2095 Pnt 1868 2857 Pnt 4584 2617 Pnt 2520 2671 Pnt 1704 2326 Pnt 897 1761 Pnt 878 2022 Pnt 3161 3211 Pnt 4074 2696 Pnt 2368 2646 Pnt 1537 2244 Pnt 1019 1846 Pnt 1217 2317 Pnt 3680 2748 Pnt 2213 2610 Pnt 1350 2141 Pnt 1208 2001 Pnt 1807 2723 Pnt 2878 3142 Pnt 3879 3040 Pnt 3360 2780 Pnt 2052 2562 Pnt 1135 2012 Pnt 1037 1972 Pnt 3420 3102 Pnt 2017 3055 Pnt 2278 3110 Pnt 2640 3143 Pnt 3321 3111 Pnt 3089 2796 Pnt 1879 2497 Pnt 884 1850 Pnt 1089 2118 Pnt 1572 2850 Pnt 1680 2940 Pnt 1876 3014 Pnt 2120 3079 Pnt 2436 3130 Pnt 2945 3140 Pnt 4419 2957 Pnt 2849 2797 Pnt 1688 2412 Pnt 1092 1910 Pnt 1736 2577 Pnt 1600 2871 Pnt 1730 2965 Pnt 1965 3039 Pnt 2251 3104 Pnt 2661 3143 Pnt 3543 3086 Pnt 2627 2783 Pnt 1468 2300 Pnt 1216 1931 Pnt 4188 2916 Pnt 1631 2896 Pnt 1806 2990 Pnt 2074 3067 Pnt 2426 3128 Pnt 3038 3135 Pnt 2413 2752 Pnt 1207 2151 Pnt 945 1881 Pnt 1665 2924 Pnt 1898 3018 Pnt 2215 3096 Pnt 2688 3143 Pnt 3939 3032 Pnt 2196 2701 Pnt 1714 2956 Pnt 2013 3050 Pnt 2411 3125 Pnt 3180 3123 Pnt 1596 2865 Pnt 1808 2988 Pnt 2166 3085 Pnt 2725 3142 Pnt 4893 2878 Pnt 1639 2898 Pnt 1930 3024 Pnt 2388 3120 Pnt 3427 3098 Pnt 1688 2941 Pnt 3097 3395 Pnt 1126 2166 Pnt 1439 2666 Pnt 1581 2171 Pnt 906 1838 Pnt 1001 2153 Pnt 1954 2998 Pnt 2972 2693 Pnt 2106 2483 Pnt 1434 2093 Pnt 968 1911 Pnt 960 2212 Pnt 3158 3306 Pnt 2804 2692 Pnt 1975 2439 Pnt 1270 1998 Pnt 1139 2047 Pnt 1348 2508 Pnt 5053 2535 Pnt 2646 2683 Pnt 1836 2384 Pnt 1086 1885 Pnt 1127 2093 Pnt 1899 2874 Pnt 4428 2639 Pnt 2494 2666 Pnt 1685 2316 Pnt 879 1748 Pnt 859 2015 Pnt 3310 3209 Pnt 3961 2709 Pnt 2343 2639 Pnt 1518 2233 Pnt 1036 1859 Pnt 1242 2335 Pnt 5112 2837 Pnt 3595 2755 Pnt 2190 2602 Pnt 1330 2129 Pnt 1212 2007 Pnt 1841 2742 Pnt 2467 3134 Pnt 2919 3141 Pnt 3999 3023 Pnt 3293 2783 Pnt 2029 2552 Pnt 1114 1998 Pnt 1016 1966 Pnt 3674 3083 Pnt 1819 2997 Pnt 2035 3060 Pnt 2300 3114 Pnt 2672 3145 Pnt 3392 3104 Pnt 3034 2795 Pnt 1856 2486 Pnt 864 1834 Pnt 1113 2139 Pnt 1582 2859 Pnt 1688 2949 Pnt 1894 3020 Pnt 2141 3084 Pnt 2463 3133 Pnt 2995 3138 Pnt 4635 2922 Pnt 2803 2793 Pnt 1664 2400 Pnt 1114 1917 Pnt 1775 2600 Pnt 1610 2881 Pnt 1749 2972 Pnt 1985 3046 Pnt 2275 3109 Pnt 2699 3145 Pnt 3647 3074 Pnt 2587 2776 Pnt 1443 2286 Pnt 1200 1926 Pnt 5005 2793 Pnt 1641 2905 Pnt 1826 2997 Pnt 2097 3073 Pnt 2457 3132 Pnt 3102 3131 Pnt 2377 2743 Pnt 1180 2134 Pnt 1676 2935 Pnt 1920 3026 Pnt 2243 3102 Pnt 2734 3144 Pnt 4120 3006 Pnt 1737 2965 Pnt 2039 3057 Pnt 2447 3129 Pnt 3268 3116 Pnt 1611 2877 Pnt 1834 2997 Pnt 2198 3092 Pnt 2781 3143 Pnt 1653 2912 Pnt 1960 3034 Pnt 2431 3126 Pnt 1091 2403 Pnt 3199 3396 Pnt 1067 1895 Pnt 1124 2169 Pnt 1460 2680 Pnt 2214 2511 Pnt 1566 2162 Pnt 892 1834 Pnt 988 2149 Pnt 1983 3013 Pnt 2938 2691 Pnt 2089 2476 Pnt 1418 2083 Pnt 983 1922 Pnt 978 2227 Pnt 3286 3305 Pnt 2774 2689 Pnt 1958 2431 Pnt 1253 1988 Pnt 1147 2055 Pnt 1370 2524 Pnt 4853 2566 Pnt 2619 2678 Pnt 1818 2375 Pnt 1069 1873 Pnt 1115 2090 Pnt 1930 2891 Pnt 4288 2658 Pnt 2468 2660 Pnt 1667 2306 Pnt 861 1736 Pnt 871 2028 Pnt 3492 3200 Pnt 3859 2720 Pnt 2319 2632 Pnt 1500 2222 Pnt 1053 1872 Pnt 1267 2353 Pnt 3288 3114 Pnt 3516 2761 Pnt 2166 2594 Pnt 1310 2116 Pnt 1213 2012 Pnt 1875 2762 Pnt 2194 3097 Pnt 2491 3136 Pnt 2961 3140 Pnt 4132 3003 Pnt 3231 2784 Pnt 2006 2543 Pnt 1093 1984 Pnt 995 1958 Pnt 4023 3046 Pnt 1668 2932 Pnt 1835 3003 Pnt 2054 3066 Pnt 2322 3118 Pnt 2705 3146 Pnt 3470 3096 Pnt 2983 2794 Pnt 1833 2475 Pnt 848 1819 Pnt 1140 2160 Pnt 1592 2868 Pnt 1701 2956 Pnt 1912 3026 Pnt 2162 3090 Pnt 2491 3136 Pnt 3047 3136 Pnt 4889 2879 Pnt 2759 2789 Pnt 1640 2387 Pnt 1135 1924 Pnt 1814 2623 Pnt 1620 2890 Pnt 1767 2979 Pnt 2005 3052 Pnt 2300 3114 Pnt 2738 3146 Pnt 3763 3059 Pnt 2549 2770 Pnt 1418 2271 Pnt 1181 1921 Pnt 1652 2915 Pnt 1846 3004 Pnt 2120 3079 Pnt 2489 3135 Pnt 3170 3127 Pnt 2342 2734 Pnt 1686 2945 Pnt 1943 3033 Pnt 2271 3108 Pnt 2781 3145 Pnt 4332 2973 Pnt 1587 2860 Pnt 1760 2974 Pnt 2065 3065 Pnt 2484 3133 Pnt 3367 3107 Pnt 1624 2889 Pnt 1860 3006 Pnt 2230 3099 Pnt 2841 3143 Pnt 1668 2925 Pnt 1990 3043 Pnt 2066 3143 Pnt 1073 2099 Pnt 1108 2416 Pnt 3317 3394 Pnt 1687 2221 Pnt 1053 1891 Pnt 1121 2171 Pnt 1481 2695 Pnt 3077 2685 Pnt 2196 2505 Pnt 1551 2153 Pnt 877 1829 Pnt 975 2146 Pnt 2013 3028 Pnt 2904 2689 Pnt 2071 2468 Pnt 1402 2073 Pnt 996 1932 Pnt 997 2241 Pnt 3436 3299 Pnt 2744 2685 Pnt 1940 2423 Pnt 1237 1977 Pnt 1155 2062 Pnt 1393 2540 Pnt 4676 2593 Pnt 2592 2674 Pnt 1801 2366 Pnt 1052 1862 Pnt 1104 2088 Pnt 1962 2908 Pnt 4162 2675 Pnt 2443 2654 Pnt 1649 2296 Pnt 843 1723 Pnt 889 2044 Pnt 3722 3181 Pnt 3765 2730 Pnt 2295 2625 Pnt 1481 2210 Pnt 1070 1885 Pnt 1292 2371 Pnt 2709 3146 Pnt 3349 3109 Pnt 3443 2765 Pnt 2144 2586 Pnt 1291 2104 Pnt 1212 2015 Pnt 1910 2781 Pnt 1981 3048 Pnt 2213 3101 Pnt 2517 3139 Pnt 3004 3139 Pnt 4281 2980 Pnt 3172 2785 Pnt 1984 2533 Pnt 1072 1971 Pnt 974 1951 Pnt 4545 2975 Pnt 1576 2856 Pnt 1676 2940 Pnt 1852 3009 Pnt 2072 3071 Pnt 2345 3122 Pnt 2739 3147 Pnt 3553 3086 Pnt 2934 2791 Pnt 1810 2464 Pnt 870 1827 Pnt 1168 2181 Pnt 1602 2876 Pnt 1717 2963 Pnt 1930 3033 Pnt 2183 3095 Pnt 2520 3139 Pnt 3102 3133 Pnt 5191 2827 Pnt 2718 2784 Pnt 1616 2374 Pnt 1154 1931 Pnt 1853 2646 Pnt 1630 2899 Pnt 1785 2986 Pnt 2025 3058 Pnt 2325 3118 Pnt 2779 3147 Pnt 3892 3041 Pnt 2512 2763 Pnt 1393 2256 Pnt 1662 2925 Pnt 1866 3012 Pnt 2144 3085 Pnt 2522 3139 Pnt 3244 3121 Pnt 1567 2846 Pnt 1701 2955 Pnt 1965 3040 Pnt 2299 3113 Pnt 2831 3145 Pnt 4584 2933 Pnt 1600 2871 Pnt 1783 2983 Pnt 2092 3072 Pnt 2523 3137 Pnt 3475 3096 Pnt 1638 2901 Pnt 1886 3015 Pnt 2263 3106 Pnt 2906 3142 Pnt 846 2205 Pnt 2095 3156 Pnt 1199 1944 Pnt 1081 2106 Pnt 1125 2430 Pnt 3454 3389 Pnt 2299 2528 Pnt 1672 2213 Pnt 1038 1887 Pnt 1118 2172 Pnt 1503 2709 Pnt 3040 2684 Pnt 2178 2498 Pnt 1536 2145 Pnt 862 1824 Pnt 961 2142 Pnt 2043 3043 Pnt 2872 2686 Pnt 2054 2461 Pnt 1386 2063 Pnt 1010 1943 Pnt 1015 2255 Pnt 3618 3287 Pnt 5150 2509 Pnt 2715 2681 Pnt 1923 2415 Pnt 1221 1966 Pnt 1161 2069 Pnt 1416 2556 Pnt 4518 2616 Pnt 2566 2669 Pnt 1783 2357 Pnt 1035 1850 Pnt 1091 2084 Pnt 1995 2925 Pnt 4048 2688 Pnt 2419 2648 Pnt 1631 2286 Pnt 861 1736 Pnt 907 2060 Pnt 4025 3149 Pnt 3943 3031 Pnt 3678 2737 Pnt 2272 2618 Pnt 1462 2199 Pnt 1086 1897 Pnt 1317 2389 Pnt 2380 3127 Pnt 2739 3147 Pnt 3414 3102 Pnt 3375 2769 Pnt 2121 2577 Pnt 1271 2091 Pnt 1208 2017 Pnt 1946 2800 Pnt 1800 2994 Pnt 1998 3053 Pnt 2233 3105 Pnt 2543 3141 Pnt 3051 3136 Pnt 4449 2953 Pnt 3117 2785 Pnt 1961 2523 Pnt 1051 1957 Pnt 952 1944 Pnt 1585 2864 Pnt 1684 2948 Pnt 1868 3015 Pnt 2090 3076 Pnt 2368 3125 Pnt 2775 3147 Pnt 3644 3075 Pnt 2888 2789 Pnt 1787 2453 Pnt 892 1835 Pnt 1197 2201 Pnt 1612 2884 Pnt 1734 2970 Pnt 1949 3039 Pnt 2204 3099 Pnt 2549 3142 Pnt 3160 3129 Pnt 2678 2779 Pnt 1593 2361 Pnt 1173 1937 Pnt 1640 2908 Pnt 1804 2993 Pnt 2046 3064 Pnt 2351 3123 Pnt 2821 3147 Pnt 4038 3021 Pnt 2476 2756 Pnt 1672 2934 Pnt 1886 3019 Pnt 2167 3091 Pnt 2556 3142 Pnt 3323 3114 Pnt 1579 2856 Pnt 1721 2963 Pnt 1988 3048 Pnt 2328 3118 Pnt 2883 3145 Pnt 4890 2882 Pnt 1613 2882 Pnt 1806 2991 Pnt 2119 3079 Pnt 2562 3141 Pnt 3598 3082 Pnt 1603 2865 Pnt 951 2001 Pnt 859 2216 Pnt 2124 3169 Pnt 1784 2262 Pnt 1185 1939 Pnt 1089 2114 Pnt 1143 2443 Pnt 3615 3379 Pnt 3184 2674 Pnt 2281 2522 Pnt 1658 2204 Pnt 1024 1882 Pnt 1114 2173 Pnt 1524 2724 Pnt 3005 2683 Pnt 2161 2492 Pnt 1521 2136 Pnt 848 1820 Pnt 947 2138 Pnt 2074 3058 Pnt 2841 2684 Pnt 2036 2454 Pnt 1371 2054 Pnt 1024 1954 Pnt 1034 2269 Pnt 3845 3266 Pnt 4948 2541 Pnt 2687 2678 Pnt 1906 2406 Pnt 1204 1956 Pnt 1165 2075 Pnt 1439 2572 Pnt 4377 2635 Pnt 2540 2664 Pnt 1766 2348 Pnt 1018 1838 Pnt 1078 2081 Pnt 2028 2941 Pnt 3944 2700 Pnt 2395 2642 Pnt 1613 2276 Pnt 878 1748 Pnt 926 2076 Pnt 4449 3093 Pnt 3011 3138 Pnt 4054 3014 Pnt 3598 2744 Pnt 2249 2611 Pnt 1443 2188 Pnt 1102 1910 Pnt 1342 2407 Pnt 2143 3089 Pnt 2401 3130 Pnt 2771 3147 Pnt 3484 3095 Pnt 3312 2771 Pnt 2099 2569 Pnt 1251 2079 Pnt 1202 2018 Pnt 1983 2820 Pnt 1665 2932 Pnt 1815 3000 Pnt 2015 3058 Pnt 2252 3109 Pnt 2569 3144 Pnt 3099 3134 Pnt 4640 2922 Pnt 3065 2785 Pnt 1939 2514 Pnt 1030 1943 Pnt 929 1936 Pnt 1595 2872 Pnt 1692 2956 Pnt 1885 3021 Pnt 2109 3081 Pnt 2391 3129 Pnt 2812 3148 Pnt 3744 3063 Pnt 2844 2786 Pnt 1765 2442 Pnt 913 1843 Pnt 1225 2222 Pnt 1621 2893 Pnt 1751 2977 Pnt 1967 3045 Pnt 2226 3104 Pnt 2579 3144 Pnt 3223 3124 Pnt 2639 2774 Pnt 1569 2348 Pnt 1650 2917 Pnt 1822 3000 Pnt 2066 3070 Pnt 2377 3127 Pnt 2866 3147 Pnt 4203 2996 Pnt 1561 2843 Pnt 1681 2944 Pnt 1907 3026 Pnt 2192 3097 Pnt 2591 3144 Pnt 3410 3106 Pnt 1591 2866 Pnt 1742 2971 Pnt 2011 3055 Pnt 2358 3123 Pnt 2939 3144 Pnt 3687 3459 Pnt 1009 2242 Pnt 1623 2878 Pnt 1318 1987 Pnt 962 2010 Pnt 873 2228 Pnt 2154 3182 Pnt 2381 2541 Pnt 1770 2255 Pnt 1171 1935 Pnt 1096 2121 Pnt 1160 2456 Pnt 3811 3362 Pnt 3145 2674 Pnt 2263 2516 Pnt 1643 2196 Pnt 1010 1878 Pnt 1108 2173 Pnt 1545 2738 Pnt 2971 2681 Pnt 2143 2485 Pnt 1506 2126 Pnt 858 1829 Pnt 933 2134 Pnt 2106 3072 Pnt 2811 2681 Pnt 2019 2446 Pnt 1355 2044 Pnt 1037 1964 Pnt 1053 2284 Pnt 4139 3233 Pnt 4769 2568 Pnt 2660 2674 Pnt 1888 2398 Pnt 1188 1945 Pnt 1169 2081 Pnt 1462 2588 Pnt 4249 2652 Pnt 2515 2659 Pnt 1748 2339 Pnt 1001 1827 Pnt 1064 2077 Pnt 2062 2958 Pnt 3848 2710 Pnt 2371 2636 Pnt 1595 2266 Pnt 896 1761 Pnt 944 2092 Pnt 5093 2994 Pnt 2585 3144 Pnt 3052 3136 Pnt 4178 2996 Pnt 3524 2749 Pnt 2227 2604 Pnt 1425 2177 Pnt 1117 1922 Pnt 1368 2425 Pnt 1951 3042 Pnt 2160 3093 Pnt 2423 3133 Pnt 2804 3148 Pnt 3558 3086 Pnt 3252 2773 Pnt 2077 2560 Pnt 1232 2066 Pnt 1194 2017 Pnt 2020 2839 Pnt 1579 2861 Pnt 1672 2939 Pnt 1831 3005 Pnt 2031 3063 Pnt 2272 3113 Pnt 2597 3146 Pnt 3151 3130 Pnt 4860 2885 Pnt 3016 2784 Pnt 1917 2504 Pnt 1009 1929 Pnt 907 1928 Pnt 1604 2880 Pnt 1706 2962 Pnt 1902 3027 Pnt 2128 3086 Pnt 2415 3132 Pnt 2851 3147 Pnt 3854 3048 Pnt 2802 2782 Pnt 1742 2430 Pnt 935 1850 Pnt 1630 2901 Pnt 1768 2983 Pnt 1985 3050 Pnt 2248 3109 Pnt 2611 3146 Pnt 3290 3119 Pnt 2602 2768 Pnt 1545 2833 Pnt 1659 2925 Pnt 1840 3007 Pnt 2087 3076 Pnt 2404 3131 Pnt 2912 3146 Pnt 4394 2966 Pnt 1572 2853 Pnt 1691 2953 Pnt 1927 3033 Pnt 2216 3102 Pnt 2627 3147 Pnt 3505 3095 Pnt 1273 2627 Pnt 3874 3442 Pnt 868 1922 Pnt 1000 2240 Pnt 1643 2891 Pnt 1874 2297 Pnt 1305 1983 Pnt 973 2019 Pnt 887 2239 Pnt 2184 3195 Pnt 3295 2661 Pnt 2363 2535 Pnt 1755 2247 Pnt 1157 1931 Pnt 1102 2127 Pnt 1178 2469 Pnt 4055 3335 Pnt 3108 2674 Pnt 2246 2510 Pnt 1628 2188 Pnt 996 1873 Pnt 1102 2173 Pnt 1567 2752 Pnt 2939 2679 Pnt 2126 2479 Pnt 1491 2117 Pnt 870 1840 Pnt 918 2129 Pnt 2138 3087 Pnt 2782 2678 Pnt 2002 2439 Pnt 1340 2034 Pnt 1050 1974 Pnt 1072 2298 Pnt 4537 3179 Pnt 4610 2592 Pnt 2634 2669 Pnt 1871 2390 Pnt 1172 1934 Pnt 1171 2085 Pnt 1486 2604 Pnt 4134 2667 Pnt 2490 2653 Pnt 1731 2330 Pnt 984 1815 Pnt 1049 2072 Pnt 2097 2974 Pnt 3429 3100 Pnt 3760 2719 Pnt 2348 2629 Pnt 1577 2256 Pnt 913 1773 Pnt 963 2108 Pnt 2310 3119 Pnt 2610 3146 Pnt 3095 3133 Pnt 4314 2974 Pnt 3455 2753 Pnt 2204 2596 Pnt 1406 2166 Pnt 1132 1933 Pnt 1394 2442 Pnt 1784 2991 Pnt 1966 3047 Pnt 2178 3097 Pnt 2445 3136 Pnt 2838 3148 Pnt 3639 3076 Pnt 3196 2774 Pnt 2055 2552 Pnt 1212 2054 Pnt 1185 2015 Pnt 2059 2857 Pnt 1588 2869 Pnt 1680 2947 Pnt 1846 3011 Pnt 2048 3068 Pnt 2292 3117 Pnt 2625 3147 Pnt 3205 3126 Pnt 5116 2841 Pnt 2969 2782 Pnt 1895 2494 Pnt 989 1915 Pnt 884 1921 Pnt 1612 2888 Pnt 1722 2968 Pnt 1918 3033 Pnt 2147 3091 Pnt 2440 3136 Pnt 2891 3147 Pnt 3975 3031 Pnt 2762 2778 Pnt 1720 2419 Pnt 1639 2910 Pnt 1785 2990 Pnt 2004 3056 Pnt 2270 3113 Pnt 2643 3148 Pnt 3362 3112 Pnt 1556 2842 Pnt 1668 2934 Pnt 1859 3013 Pnt 2108 3081 Pnt 2432 3134 Pnt 2962 3144 Pnt 4615 2930 Pnt 2268 3312 Pnt 1076 2237 Pnt 1290 2639 Pnt 4102 3417 Pnt 1427 2027 Pnt 856 1918 Pnt 991 2238 Pnt 1664 2904 Pnt 2461 2549 Pnt 1860 2290 Pnt 1292 1980 Pnt 984 2028 Pnt 901 2250 Pnt 2216 3208 Pnt 3253 2662 Pnt 2345 2530 Pnt 1741 2239 Pnt 1144 1927 Pnt 1108 2134 Pnt 1195 2482 Pnt 4368 3296 Pnt 3072 2673 Pnt 2228 2504 Pnt 1614 2179 Pnt 981 1869 Pnt 1095 2173 Pnt 1589 2767 Pnt 2907 2677 Pnt 2109 2472 Pnt 1476 2108 Pnt 882 1851 Pnt 903 2125 Pnt 2171 3101 Pnt 5045 2514 Pnt 2754 2675 Pnt 1985 2432 Pnt 1324 2024 Pnt 1062 1984 Pnt 1091 2312 Pnt 5116 3090 Pnt 4467 2612 Pnt 2608 2665 Pnt 1854 2382 Pnt 1156 1923 Pnt 1172 2089 Pnt 1509 2620 Pnt 4028 2680 Pnt 2466 2648 Pnt 1714 2321 Pnt 967 1803 Pnt 1034 2068 Pnt 2133 2991 Pnt 2826 3147 Pnt 3492 3093 Pnt 3679 2726 Pnt 2326 2623 Pnt 1559 2246 Pnt 930 1786 Pnt 981 2125 Pnt 2100 3081 Pnt 2328 3123 Pnt 2635 3147 Pnt 3141 3130 Pnt 4466 2950 Pnt 3391 2757 Pnt 2183 2589 Pnt 1388 2154 Pnt 1145 1944 Pnt 1420 2460 Pnt 1662 2932 Pnt 1798 2996 Pnt 1982 3052 Pnt 2195 3101 Pnt 2467 3138 Pnt 2873 3147 Pnt 3726 3065 Pnt 3143 2774 Pnt 2033 2543 Pnt 1193 2041 Pnt 1174 2013 Pnt 2098 2876 Pnt 1596 2876 Pnt 1687 2954 Pnt 1861 3016 Pnt 2065 3073 Pnt 2313 3121 Pnt 2654 3149 Pnt 3263 3121 Pnt 2924 2780 Pnt 1874 2484 Pnt 968 1901 Pnt 1621 2896 Pnt 1737 2975 Pnt 1935 3038 Pnt 2166 3095 Pnt 2465 3139 Pnt 2933 3146 Pnt 4110 3011 Pnt 2723 2774 Pnt 1541 2832 Pnt 1648 2918 Pnt 1802 2996 Pnt 2022 3062 Pnt 2293 3118 Pnt 2676 3150 Pnt 3440 3104 Pnt 1022 2430 Pnt 2300 3323 Pnt 995 1966 Pnt 1075 2240 Pnt 1307 2651 Pnt 4388 3381 Pnt 1958 2326 Pnt 1415 2024 Pnt 856 1922 Pnt 981 2236 Pnt 1684 2917 Pnt 3409 2645 Pnt 2442 2545 Pnt 1846 2283 Pnt 1279 1976 Pnt 995 2037 Pnt 915 2262 Pnt 2248 3221 Pnt 3213 2662 Pnt 2327 2525 Pnt 1727 2232 Pnt 1130 1923 Pnt 1113 2139 Pnt 1213 2495 Pnt 4792 3235 Pnt 3037 2672 Pnt 2211 2498 Pnt 1600 2171 Pnt 967 1865 Pnt 1088 2172 Pnt 1611 2781 Pnt 2877 2675 Pnt 2092 2465 Pnt 1461 2099 Pnt 896 1862 Pnt 888 2121 Pnt 2205 3115 Pnt 4864 2542 Pnt 2726 2671 Pnt 1969 2424 Pnt 1309 2014 Pnt 1074 1994 Pnt 1110 2327 Pnt 4337 2630 Pnt 2583 2660 Pnt 1838 2373 Pnt 1140 1913 Pnt 1172 2092 Pnt 1533 2636 Pnt 4097 3006 Pnt 3931 2690 Pnt 2443 2642 Pnt 1696 2312 Pnt 950 1792 Pnt 1019 2063 Pnt 2170 3006 Pnt 2489 3140 Pnt 2857 3146 Pnt 3560 3085 Pnt 3604 2732 Pnt 2303 2616 Pnt 1542 2236 Pnt 947 1798 Pnt 1000 2141 Pnt 1925 3037 Pnt 2116 3086 Pnt 2347 3126 Pnt 2661 3148 Pnt 3189 3127 Pnt 4637 2922 Pnt 3330 2759 Pnt 2161 2581 Pnt 1369 2143 Pnt 1158 1955 Pnt 1446 2478 Pnt 1582 2866 Pnt 1669 2939 Pnt 1812 3002 Pnt 1997 3057 Pnt 2213 3105 Pnt 2490 3141 Pnt 2910 3146 Pnt 3821 3052 Pnt 3093 2774 Pnt 2012 2534 Pnt 1173 2029 Pnt 1161 2010 Pnt 1605 2884 Pnt 1696 2961 Pnt 1877 3022 Pnt 2082 3078 Pnt 2334 3124 Pnt 2684 3150 Pnt 3324 3116 Pnt 2882 2778 Pnt 1852 2474 Pnt 1528 2824 Pnt 1630 2904 Pnt 1753 2981 Pnt 1952 3044 Pnt 2186 3100 Pnt 2490 3141 Pnt 2977 3145 Pnt 4262 2988 Pnt 1777 3058 Pnt 1040 2183 Pnt 1035 2441 Pnt 2332 3335 Pnt 1527 2063 Pnt 983 1963 Pnt 1073 2242 Pnt 1323 2664 Pnt 4763 3327 Pnt 2539 2555 Pnt 1944 2319 Pnt 1402 2020 Pnt 866 1931 Pnt 972 2234 Pnt 1705 2930 Pnt 3365 2647 Pnt 2424 2540 Pnt 1832 2276 Pnt 1265 1972 Pnt 1006 2046 Pnt 930 2274 Pnt 2281 3234 Pnt 3175 2662 Pnt 2309 2519 Pnt 1713 2224 Pnt 1116 1919 Pnt 1117 2145 Pnt 1231 2508 Pnt 3004 2671 Pnt 2194 2492 Pnt 1585 2163 Pnt 953 1860 Pnt 1080 2171 Pnt 1633 2796 Pnt 2847 2672 Pnt 2076 2458 Pnt 1446 2090 Pnt 910 1872 Pnt 873 2116 Pnt 2241 3129 Pnt 4703 2567 Pnt 2700 2667 Pnt 1952 2416 Pnt 1293 2004 Pnt 1086 2004 Pnt 1130 2341 Pnt 4220 2645 Pnt 2558 2656 Pnt 1821 2365 Pnt 1124 1902 Pnt 1170 2095 Pnt 1557 2652 Pnt 3132 3130 Pnt 4212 2989 Pnt 3842 2700 Pnt 2420 2637 Pnt 1679 2302 Pnt 934 1780 Pnt 1003 2058 Pnt 2208 3022 Pnt 2252 3112 Pnt 2510 3142 Pnt 2890 3146 Pnt 3632 3076 Pnt 3533 2737 Pnt 2282 2610 Pnt 1524 2226 Pnt 964 1810 Pnt 1018 2157 Pnt 1770 2988 Pnt 1939 3041 Pnt 2132 3090 Pnt 2367 3129 Pnt 2688 3149 Pnt 3239 3123 Pnt 4831 2889 Pnt 3273 2761 Pnt 2140 2573 Pnt 1351 2132 Pnt 1170 1965 Pnt 1472 2496 Pnt 1590 2873 Pnt 1676 2946 Pnt 1827 3007 Pnt 2013 3061 Pnt 2231 3109 Pnt 2513 3143 Pnt 2948 3145 Pnt 3925 3038 Pnt 3046 2773 Pnt 1991 2525 Pnt 1154 2016 Pnt 1517 2816 Pnt 1613 2891 Pnt 1711 2967 Pnt 1892 3027 Pnt 2100 3083 Pnt 2355 3128 Pnt 2714 3151 Pnt 3389 3109 Pnt 2841 2775 Pnt 4941 3383 Pnt 864 2292 Pnt 1797 3070 Pnt 1113 2009 Pnt 1045 2189 Pnt 1049 2452 Pnt 2365 3346 Pnt 2037 2350 Pnt 1515 2060 Pnt 971 1959 Pnt 1071 2244 Pnt 1340 2676 Pnt 3530 2627 Pnt 2520 2551 Pnt 1930 2313 Pnt 1389 2017 Pnt 876 1940 Pnt 961 2232 Pnt 1726 2943 Pnt 3322 2648 Pnt 2406 2535 Pnt 1818 2268 Pnt 1252 1968 Pnt 1016 2054 Pnt 944 2285 Pnt 2316 3246 Pnt 3138 2662 Pnt 2292 2514 Pnt 1699 2216 Pnt 1103 1915 Pnt 1121 2150 Pnt 1249 2522 Pnt 2972 2669 Pnt 2177 2486 Pnt 1571 2154 Pnt 939 1856 Pnt 1071 2169 Pnt 1656 2810 Pnt 5146 2487 Pnt 2818 2670 Pnt 2059 2451 Pnt 1431 2081 Pnt 923 1883 Pnt 857 2111 Pnt 2277 3143 Pnt 4558 2588 Pnt 2673 2664 Pnt 1935 2409 Pnt 1278 1994 Pnt 1097 2013 Pnt 1149 2356 Pnt 4112 2658 Pnt 2534 2651 Pnt 1804 2357 Pnt 1108 1891 Pnt 1167 2096 Pnt 1581 2668 Pnt 2691 3148 Pnt 3174 3126 Pnt 4337 2969 Pnt 3759 2708 Pnt 2397 2631 Pnt 1662 2293 Pnt 917 1768 Pnt 987 2053 Pnt 2247 3038 Pnt 2063 3074 Pnt 2269 3115 Pnt 2532 3144 Pnt 2923 3145 Pnt 3709 3066 Pnt 3468 2742 Pnt 2260 2603 Pnt 1507 2215 Pnt 980 1823 Pnt 1037 2174 Pnt 1660 2932 Pnt 1783 2993 Pnt 1953 3046 Pnt 2148 3094 Pnt 2386 3132 Pnt 2716 3150 Pnt 3293 3118 Pnt 5053 2851 Pnt 3219 2762 Pnt 2119 2565 Pnt 1332 2121 Pnt 1181 1975 Pnt 1598 2880 Pnt 1683 2953 Pnt 1841 3012 Pnt 2028 3066 Pnt 2249 3113 Pnt 2537 3145 Pnt 2988 3144 Pnt 4038 3021 Pnt 3001 2772 Pnt 1970 2516 Pnt 1443 2832 Pnt 953 2104 Pnt 855 2289 Pnt 1817 3082 Pnt 1620 2096 Pnt 1102 2006 Pnt 1051 2195 Pnt 1063 2463 Pnt 2399 3356 Pnt 2616 2558 Pnt 2024 2344 Pnt 1502 2057 Pnt 959 1956 Pnt 1068 2245 Pnt 1357 2688 Pnt 3481 2630 Pnt 2501 2547 Pnt 1917 2306 Pnt 1376 2013 Pnt 886 1950 Pnt 951 2229 Pnt 1748 2956 Pnt 3281 2649 Pnt 2388 2530 Pnt 1804 2261 Pnt 1239 1964 Pnt 1026 2062 Pnt 959 2297 Pnt 2351 3258 Pnt 3103 2662 Pnt 2275 2508 Pnt 1685 2208 Pnt 1089 1911 Pnt 1124 2155 Pnt 1267 2535 Pnt 2941 2667 Pnt 2161 2480 Pnt 1556 2146 Pnt 925 1851 Pnt 1062 2167 Pnt 1678 2824 Pnt 4962 2516 Pnt 2790 2667 Pnt 2043 2445 Pnt 1417 2072 Pnt 937 1893 Pnt 858 2116 Pnt 2315 3157 Pnt 4426 2606 Pnt 2648 2660 Pnt 1919 2401 Pnt 1263 1984 Pnt 1108 2022 Pnt 1169 2370 Pnt 3558 3083 Pnt 4014 2670 Pnt 2511 2646 Pnt 1788 2348 Pnt 1092 1880 Pnt 1163 2097 Pnt 1606 2683 Pnt 2412 3134 Pnt 2717 3149 Pnt 3219 3123 Pnt 4476 2946 Pnt 3682 2715 Pnt 2375 2625 Pnt 1645 2284 Pnt 900 1757 Pnt 970 2048 Pnt 2288 3053 Pnt 1901 3032 Pnt 2078 3078 Pnt 2286 3118 Pnt 2554 3145 Pnt 2958 3143 Pnt 3793 3055 Pnt 3406 2745 Pnt 2239 2596 Pnt 1489 2205 Pnt 997 1835 Pnt 1056 2190 Pnt 1584 2870 Pnt 1667 2939 Pnt 1796 2999 Pnt 1967 3051 Pnt 2164 3097 Pnt 2406 3134 Pnt 2745 3151 Pnt 3349 3112 Pnt 3168 2763 Pnt 2098 2557 Pnt 1314 2109 Pnt 2494 3462 Pnt 978 2316 Pnt 1459 2843 Pnt 1223 2049 Pnt 961 2111 Pnt 854 2292 Pnt 1838 3094 Pnt 2113 2370 Pnt 1608 2094 Pnt 1090 2002 Pnt 1055 2201 Pnt 1077 2474 Pnt 2435 3367 Pnt 3656 2606 Pnt 2597 2555 Pnt 2010 2338 Pnt 1490 2054 Pnt 947 1952 Pnt 1065 2246 Pnt 1374 2700 Pnt 3435 2632 Pnt 2483 2542 Pnt 1903 2299 Pnt 1363 2010 Pnt 896 1959 Pnt 940 2227 Pnt 1769 2969 Pnt 3242 2650 Pnt 2371 2525 Pnt 1791 2254 Pnt 1226 1961 Pnt 1036 2071 Pnt 974 2309 Pnt 2388 3270 Pnt 3069 2661 Pnt 2258 2502 Pnt 1671 2201 Pnt 1075 1906 Pnt 1125 2159 Pnt 1285 2548 Pnt 2911 2665 Pnt 2144 2474 Pnt 1542 2137 Pnt 912 1847 Pnt 1052 2165 Pnt 1701 2838 Pnt 4798 2541 Pnt 2763 2664 Pnt 2026 2438 Pnt 1402 2063 Pnt 951 1903 Pnt 872 2129 Pnt 2354 3170 Pnt 4307 2622 Pnt 2623 2656 Pnt 1903 2394 Pnt 1247 1974 Pnt 1118 2031 Pnt 1188 2385 Pnt 2933 3142 Pnt 3624 3075 Pnt 3923 2680 Pnt 2488 2641 Pnt 1771 2340 Pnt 1076 1870 Pnt 1157 2098 Pnt 1630 2699 Pnt 2203 3104 Pnt 2431 3136 Pnt 2743 3149 Pnt 3267 3118 Pnt 4631 2921 Pnt 3611 2720 Pnt 2353 2619 Pnt 1629 2274 Pnt 884 1745 Pnt 954 2043 Pnt 2331 3068 Pnt 1757 2986 Pnt 1915 3036 Pnt 2092 3082 Pnt 2303 3121 Pnt 2576 3147 Pnt 2994 3142 Pnt 3883 3042 Pnt 3348 2747 Pnt 2218 2589 Pnt 1472 2195 Pnt 1013 1847 Pnt 1.000 UL LTb 5204 1496 M 3608 567 L 843 1103 M 3608 567 L 843 1103 M 1596 930 V 5204 1496 M 2439 2033 L 843 1103 M 0 1860 V 0 -1860 R 54 31 V 770 1032 M (0) Cshow 2439 2033 M -55 -32 V 1396 996 M 54 31 V 1323 925 M (2) Cshow 2992 1926 M -55 -32 V 1949 889 M 54 31 V 1876 818 M (4) Cshow 3545 1818 M -55 -32 V 2502 781 M 54 31 V 2429 710 M (6) Cshow 4098 1711 M -55 -32 V 3055 674 M 54 31 V 2982 603 M (8) Cshow 4651 1604 M -55 -32 V 3608 567 M 54 31 V 3535 496 M (10) Cshow 5204 1496 M -55 -32 V 1827 603 M (a_var) Cshow 3608 567 M -62 12 V 144 -39 R (0) Lshow 843 1103 M 61 -13 V 4151 883 M -62 12 V 144 -39 R (1) Lshow 1387 1420 M 61 -13 V 4694 1199 M -62 12 V 144 -39 R (2) Lshow 1930 1736 M 61 -13 V 5097 897 M (e_var) Cshow 843 1723 M 63 0 V -189 0 R (0) Rshow 843 2041 M 63 0 V -189 0 R (0.4) Rshow 843 2359 M 63 0 V -189 0 R (0.8) Rshow 843 2677 M 63 0 V -189 0 R (1.2) Rshow 843 3428 M (i_var) Cshow stroke grestore end showpage %%Trailer %%DocumentFonts: Helvetica %%Pages: 1 %%EndDocument @endspecial 212 2328 a Fn(Figure)30 b(5:)i(Grid)d(o)m(v)m(er)j(the)f (latitudes)f(with)f(amplitude)g(equal)h(to)h(1)2574 2295 y Fi(o)2613 2328 y Fn(:)g(the)g(n)m(um)m(b)s(er)e(of)i(con)m(v)m(ergen) m(t)i(orbits)212 2441 y(is)d(2226.)i(Axis:)e Fj(a)822 2455 y Fi(v)r(ar)934 2441 y Fn(,)h Fj(e)1032 2455 y Fi(v)r(ar)1144 2441 y Fn(,)g Fj(i)1231 2455 y Fi(v)r(ar)1343 2441 y Fn(.)1074 4764 y @beginspecial 50 @llx 50 @lly 654 @urx 482 @ury 2409 @rwi @setspecial %%BeginDocument: fig6.ps %!PS-Adobe-2.0 %%Title: fig6.ps %%Creator: gnuplot 3.7 patchlevel 1 %%CreationDate: Tue May 11 22:18:45 2004 %%DocumentFonts: (atend) %%BoundingBox: 50 50 654 482 %%Orientation: Portrait %%Pages: (atend) %%EndComments /gnudict 256 dict def gnudict begin /Color false def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -46 def /dl {10 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth } def /AL { stroke userlinewidth 2 div setlinewidth } def /UL { dup gnulinewidth mul /userlinewidth exch def 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def end %%EndProlog %%Page: 1 1 gnudict begin gsave 50 50 translate 0.100 0.100 scale 0 setgray newpath (Helvetica) findfont 140 scalefont setfont 1.000 UL LTb 1.000 UL LT0 1810 2273 Pnt 2299 2815 Pnt 1183 1948 Pnt 1455 2439 Pnt 1704 2223 Pnt 2454 2838 Pnt 1206 1980 Pnt 2366 2444 Pnt 1601 2170 Pnt 2633 2853 Pnt 1126 1955 Pnt 3085 2835 Pnt 1440 2431 Pnt 1379 2494 Pnt 2266 2417 Pnt 2003 2763 Pnt 1501 2117 Pnt 2852 2858 Pnt 999 1904 Pnt 1429 2424 Pnt 2821 2484 Pnt 1470 2551 Pnt 2172 2387 Pnt 2084 2786 Pnt 1402 2062 Pnt 3139 2846 Pnt 864 1851 Pnt 1736 2675 Pnt 1414 2415 Pnt 954 2102 Pnt 2704 2472 Pnt 1565 2608 Pnt 2925 2861 Pnt 2084 2356 Pnt 2168 2808 Pnt 1305 2007 Pnt 3554 2807 Pnt 1003 1960 Pnt 1889 2729 Pnt 1392 2402 Pnt 3308 2457 Pnt 970 2122 Pnt 2600 2457 Pnt 1664 2665 Pnt 1874 2734 Pnt 3089 2854 Pnt 1999 2324 Pnt 2256 2827 Pnt 1210 1951 Pnt 1632 2613 Pnt 4247 2711 Pnt 1146 2070 Pnt 2047 2776 Pnt 1205 2140 Pnt 3152 2460 Pnt 978 2137 Pnt 2505 2440 Pnt 1769 2722 Pnt 1931 2754 Pnt 3289 2839 Pnt 1918 2290 Pnt 1551 2553 Pnt 2349 2844 Pnt 1116 1894 Pnt 1680 2657 Pnt 1311 2176 Pnt 2215 2817 Pnt 2335 3145 Pnt 3945 2371 Pnt 1160 2126 Pnt 3018 2458 Pnt 979 2148 Pnt 2447 2853 Pnt 2417 2421 Pnt 1879 2778 Pnt 1990 2772 Pnt 3541 2812 Pnt 1839 2256 Pnt 1591 2586 Pnt 2450 2858 Pnt 1024 1837 Pnt 1753 2695 Pnt 1483 2282 Pnt 2402 2849 Pnt 1608 2289 Pnt 2455 3178 Pnt 3708 2394 Pnt 1117 2112 Pnt 2900 2452 Pnt 970 2153 Pnt 1800 2715 Pnt 2520 2860 Pnt 2335 2400 Pnt 1998 2833 Pnt 1534 2545 Pnt 2049 2789 Pnt 3876 2768 Pnt 1763 2220 Pnt 1628 2619 Pnt 2561 2869 Pnt 933 1780 Pnt 1842 2728 Pnt 1663 2386 Pnt 2623 2870 Pnt 1254 2579 Pnt 4972 2192 Pnt 1565 2278 Pnt 2592 3207 Pnt 3515 2408 Pnt 1074 2098 Pnt 3317 2825 Pnt 2796 2444 Pnt 954 2153 Pnt 1493 2516 Pnt 1845 2731 Pnt 2599 2865 Pnt 2258 2378 Pnt 2127 2886 Pnt 1566 2571 Pnt 2111 2806 Pnt 4352 2696 Pnt 1688 2184 Pnt 1663 2651 Pnt 2685 2876 Pnt 843 1723 Pnt 1932 2758 Pnt 1855 2487 Pnt 2908 2874 Pnt 1481 2373 Pnt 1937 2401 Pnt 1285 2603 Pnt 4546 2255 Pnt 1524 2267 Pnt 2754 3233 Pnt 3352 2416 Pnt 1032 2084 Pnt 2234 2823 Pnt 3496 2805 Pnt 2702 2433 Pnt 931 2148 Pnt 1521 2538 Pnt 1891 2746 Pnt 2685 2868 Pnt 2185 2355 Pnt 2270 2936 Pnt 1596 2597 Pnt 2174 2820 Pnt 5091 2571 Pnt 1615 2147 Pnt 1696 2682 Pnt 2828 2877 Pnt 930 1779 Pnt 2024 2787 Pnt 2068 2584 Pnt 3320 2849 Pnt 1224 2107 Pnt 1125 2419 Pnt 1896 2393 Pnt 1319 2627 Pnt 4221 2298 Pnt 1483 2255 Pnt 2953 3252 Pnt 3212 2419 Pnt 992 2071 Pnt 1751 2698 Pnt 2284 2831 Pnt 3714 2776 Pnt 2615 2420 Pnt 902 2140 Pnt 1548 2559 Pnt 1937 2760 Pnt 2779 2868 Pnt 2115 2330 Pnt 2437 2983 Pnt 1625 2622 Pnt 2239 2834 Pnt 1543 2109 Pnt 1759 2707 Pnt 2997 2873 Pnt 1013 1834 Pnt 2120 2813 Pnt 2321 2672 Pnt 4036 2759 Pnt 1684 2668 Pnt 2233 2484 Pnt 1116 2421 Pnt 1856 2385 Pnt 1355 2653 Pnt 3963 2328 Pnt 1442 2243 Pnt 3212 3259 Pnt 2738 2852 Pnt 3091 2418 Pnt 953 2058 Pnt 1511 2530 Pnt 1789 2711 Pnt 2337 2838 Pnt 3988 2736 Pnt 2536 2406 Pnt 868 2128 Pnt 1574 2580 Pnt 1984 2774 Pnt 2885 2866 Pnt 2048 2305 Pnt 2639 3023 Pnt 1653 2647 Pnt 2307 2846 Pnt 1472 2071 Pnt 1822 2730 Pnt 3204 2859 Pnt 1090 1886 Pnt 2220 2836 Pnt 2663 2742 Pnt 1882 2745 Pnt 3779 2687 Pnt 1353 2473 Pnt 2191 2479 Pnt 1110 2425 Pnt 1817 2376 Pnt 1393 2679 Pnt 3752 2348 Pnt 1401 2231 Pnt 3580 3246 Pnt 2106 2791 Pnt 2815 2850 Pnt 2983 2415 Pnt 915 2046 Pnt 1534 2548 Pnt 1827 2723 Pnt 2391 2844 Pnt 4346 2679 Pnt 2461 2390 Pnt 886 2146 Pnt 1599 2601 Pnt 2032 2787 Pnt 3004 2860 Pnt 1983 2279 Pnt 2906 3050 Pnt 1679 2671 Pnt 2379 2856 Pnt 1402 2032 Pnt 1886 2752 Pnt 3470 2833 Pnt 1157 1933 Pnt 2326 2856 Pnt 3287 2756 Pnt 1603 2605 Pnt 2097 2808 Pnt 2935 2736 Pnt 2113 3165 Pnt 2529 2545 Pnt 1329 2468 Pnt 2150 2474 Pnt 1106 2431 Pnt 4974 2149 Pnt 1778 2368 Pnt 1434 2707 Pnt 3619 2765 Pnt 3576 2361 Pnt 1361 2219 Pnt 4174 3190 Pnt 1717 2681 Pnt 2146 2799 Pnt 2899 2846 Pnt 2886 2409 Pnt 880 2035 Pnt 1557 2565 Pnt 1866 2735 Pnt 2449 2849 Pnt 4836 2595 Pnt 2391 2374 Pnt 932 2180 Pnt 1623 2621 Pnt 2081 2798 Pnt 3141 2850 Pnt 1920 2253 Pnt 3306 3051 Pnt 1713 2693 Pnt 2456 2864 Pnt 1333 1993 Pnt 1950 2773 Pnt 3831 2786 Pnt 1202 1967 Pnt 1524 2546 Pnt 2442 2872 Pnt 1663 2658 Pnt 2336 2857 Pnt 2494 2698 Pnt 1639 2567 Pnt 2162 3186 Pnt 2483 2544 Pnt 1307 2464 Pnt 2110 2469 Pnt 1105 2437 Pnt 4592 2205 Pnt 1740 2359 Pnt 1477 2735 Pnt 2480 2833 Pnt 3814 2737 Pnt 3425 2370 Pnt 1322 2207 Pnt 1524 2536 Pnt 1750 2692 Pnt 2187 2805 Pnt 2992 2840 Pnt 2798 2401 Pnt 878 2043 Pnt 1579 2582 Pnt 1905 2746 Pnt 2509 2852 Pnt 2325 2356 Pnt 982 2217 Pnt 1646 2640 Pnt 2131 2809 Pnt 3303 2834 Pnt 1858 2226 Pnt 4065 2983 Pnt 1762 2711 Pnt 2538 2870 Pnt 1265 1953 Pnt 1479 2513 Pnt 2016 2792 Pnt 4365 2705 Pnt 1213 1982 Pnt 1571 2584 Pnt 2570 2884 Pnt 1738 2706 Pnt 4257 2597 Pnt 2628 2888 Pnt 1689 2929 Pnt 2864 2583 Pnt 1612 2561 Pnt 2214 3207 Pnt 2438 2542 Pnt 1285 2460 Pnt 2071 2463 Pnt 1106 2445 Pnt 4293 2245 Pnt 1702 2350 Pnt 1523 2763 Pnt 2019 2762 Pnt 2531 2834 Pnt 4051 2700 Pnt 3294 2374 Pnt 1283 2195 Pnt 1544 2550 Pnt 1783 2702 Pnt 2229 2812 Pnt 3095 2831 Pnt 2717 2392 Pnt 904 2067 Pnt 1601 2598 Pnt 1944 2756 Pnt 2574 2855 Pnt 2262 2337 Pnt 1035 2254 Pnt 1668 2659 Pnt 2182 2819 Pnt 3497 2811 Pnt 1798 2198 Pnt 1811 2728 Pnt 2628 2874 Pnt 1197 1914 Pnt 1516 2543 Pnt 2083 2810 Pnt 1184 1975 Pnt 1614 2621 Pnt 2717 2890 Pnt 1843 2745 Pnt 3512 2683 Pnt 1921 2656 Pnt 1702 2941 Pnt 2807 2586 Pnt 1585 2556 Pnt 2271 3228 Pnt 2394 2540 Pnt 1264 2456 Pnt 2033 2458 Pnt 1109 2454 Pnt 2974 2817 Pnt 4050 2279 Pnt 1664 2340 Pnt 1570 2792 Pnt 1693 2664 Pnt 2053 2768 Pnt 2584 2835 Pnt 4348 2651 Pnt 3178 2375 Pnt 1244 2183 Pnt 1564 2564 Pnt 1817 2711 Pnt 2272 2817 Pnt 3212 2820 Pnt 2642 2381 Pnt 926 2089 Pnt 1621 2614 Pnt 1984 2766 Pnt 2643 2856 Pnt 2201 2318 Pnt 1091 2292 Pnt 1689 2677 Pnt 2235 2827 Pnt 3739 2778 Pnt 1739 2170 Pnt 1480 2514 Pnt 1861 2743 Pnt 2726 2875 Pnt 1130 1874 Pnt 1552 2571 Pnt 2153 2825 Pnt 1129 1953 Pnt 1654 2657 Pnt 2891 2888 Pnt 1950 2780 Pnt 1676 2862 Pnt 3301 2592 Pnt 1893 2652 Pnt 1717 2953 Pnt 2753 2588 Pnt 1559 2551 Pnt 2331 3248 Pnt 2353 2537 Pnt 1244 2453 Pnt 1996 2451 Pnt 1115 2464 Pnt 2325 2805 Pnt 3059 2810 Pnt 3848 2309 Pnt 1627 2331 Pnt 1620 2822 Pnt 1534 2536 Pnt 1721 2673 Pnt 2088 2774 Pnt 2641 2835 Pnt 4732 2584 Pnt 3075 2373 Pnt 1206 2170 Pnt 1583 2578 Pnt 1850 2720 Pnt 2317 2822 Pnt 3346 2805 Pnt 2572 2368 Pnt 946 2109 Pnt 1641 2630 Pnt 2024 2775 Pnt 2717 2855 Pnt 2143 2298 Pnt 1149 2332 Pnt 1453 2491 Pnt 1724 2692 Pnt 2290 2835 Pnt 4051 2732 Pnt 1681 2141 Pnt 1511 2537 Pnt 1911 2758 Pnt 2836 2873 Pnt 1064 1838 Pnt 1586 2598 Pnt 2225 2839 Pnt 1058 1922 Pnt 1691 2691 Pnt 3105 2877 Pnt 4570 2517 Pnt 2205 2732 Pnt 1671 2867 Pnt 3221 2601 Pnt 1865 2647 Pnt 1734 2966 Pnt 2701 2590 Pnt 1534 2546 Pnt 2396 3269 Pnt 2312 2534 Pnt 1226 2451 Pnt 3899 2694 Pnt 5138 2140 Pnt 1959 2445 Pnt 1124 2476 Pnt 1957 2734 Pnt 2364 2808 Pnt 3152 2800 Pnt 3677 2333 Pnt 1590 2321 Pnt 1672 2852 Pnt 1552 2548 Pnt 1751 2681 Pnt 2123 2780 Pnt 2701 2834 Pnt 2982 2370 Pnt 1168 2158 Pnt 1602 2592 Pnt 1884 2729 Pnt 2364 2826 Pnt 3503 2784 Pnt 2507 2355 Pnt 961 2126 Pnt 1660 2645 Pnt 2066 2784 Pnt 2798 2853 Pnt 2086 2277 Pnt 1209 2371 Pnt 1480 2510 Pnt 1765 2705 Pnt 2347 2842 Pnt 4473 2663 Pnt 1623 2112 Pnt 1540 2559 Pnt 1962 2772 Pnt 2961 2868 Pnt 998 1812 Pnt 1619 2625 Pnt 2301 2852 Pnt 979 1887 Pnt 1.000 UL LTb 5204 1496 M 3608 567 L 843 1103 M 3608 567 L 843 1103 M 1596 930 V 5204 1496 M 2439 2033 L 843 1103 M 0 1860 V 0 -1860 R 54 31 V 770 1032 M (0) Cshow 2439 2033 M -55 -32 V 1396 996 M 54 31 V 1323 925 M (2) Cshow 2992 1926 M -55 -32 V 1949 889 M 54 31 V 1876 818 M (4) Cshow 3545 1818 M -55 -32 V 2502 781 M 54 31 V 2429 710 M (6) Cshow 4098 1711 M -55 -32 V 3055 674 M 54 31 V 2982 603 M (8) Cshow 4651 1604 M -55 -32 V 3608 567 M 54 31 V 3535 496 M (10) Cshow 5204 1496 M -55 -32 V 1827 603 M (a_var) Cshow 3608 567 M -62 12 V 144 -39 R (0) Lshow 843 1103 M 61 -13 V 4152 884 M -62 12 V 144 -39 R (1) Lshow 1388 1420 M 61 -13 V 4696 1201 M -62 12 V 144 -39 R (2) Lshow 1932 1737 M 61 -13 V 5097 897 M (e_var) Cshow 843 1723 M 63 0 V -189 0 R (0) Rshow 843 1971 M 63 0 V -189 0 R (0.5) Rshow 843 2219 M 63 0 V -189 0 R (1) Rshow 843 2467 M 63 0 V -189 0 R (1.5) Rshow 843 2715 M 63 0 V -189 0 R (2) Rshow 843 2963 M 63 0 V -189 0 R (2.5) Rshow 843 3428 M (i_var) Cshow stroke grestore end showpage %%Trailer %%DocumentFonts: Helvetica %%Pages: 1 %%EndDocument @endspecial 212 4960 a(Figure)f(6:)i(Grid)d(o)m(v)m(er)j(the)f (latitudes)f(with)f(amplitude)g(equal)h(to)h(5)2574 4927 y Fi(o)2613 4960 y Fn(:)g(the)g(n)m(um)m(b)s(er)e(of)i(con)m(v)m(ergen) m(t)i(orbits)212 5073 y(is)d(564.)h(Axis:)f Fj(a)776 5087 y Fi(v)r(ar)888 5073 y Fn(,)h Fj(e)986 5087 y Fi(v)r(ar)1099 5073 y Fn(,)f Fj(i)1185 5087 y Fi(v)r(ar)1298 5073 y Fn(.)2033 5964 y(42)p eop %%Page: 43 43 43 42 bop 1074 3366 a @beginspecial 50 @llx 50 @lly 410 @urx 302 @ury 2409 @rwi @setspecial %%BeginDocument: grafico.ps %!PS-Adobe-2.0 EPSF-2.0 %%Title: grafico.ps %%Creator: gnuplot 3.7 patchlevel 1 %%CreationDate: Fri Jul 9 12:54:01 2004 %%DocumentFonts: (atend) %%BoundingBox: 50 50 410 302 %%Orientation: Portrait %%EndComments /gnudict 256 dict def gnudict begin /Color false def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -46 def /dl {10 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth } def /AL { stroke userlinewidth 2 div setlinewidth } def /UL { dup gnulinewidth mul /userlinewidth exch def 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray 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Pnt 1325 4559 Pnt 1325 593 Pnt 1326 4559 Pnt 1326 593 Pnt 1328 4559 Pnt 1328 593 Pnt 1329 4559 Pnt 1329 593 Pnt 1330 4559 Pnt 1330 593 Pnt 1331 4559 Pnt 1331 593 Pnt 1333 4558 Pnt 1333 594 Pnt 1334 4558 Pnt 1334 594 Pnt 1335 4558 Pnt 1335 594 Pnt 1337 4558 Pnt 1337 594 Pnt 1338 4558 Pnt 1338 594 Pnt 1339 4558 Pnt 1339 594 Pnt 1341 4557 Pnt 1341 595 Pnt 1342 4557 Pnt 1342 595 Pnt 1343 4557 Pnt 1343 595 Pnt 1345 4557 Pnt 1345 595 Pnt 1346 4557 Pnt 1346 595 Pnt 1347 4557 Pnt 1347 595 Pnt 1348 4557 Pnt 1348 595 Pnt 1350 4556 Pnt 1350 596 Pnt 1351 4556 Pnt 1351 596 Pnt 1352 4556 Pnt 1352 596 Pnt 1354 4556 Pnt 1354 596 Pnt 1355 4556 Pnt 1355 596 Pnt 1356 4556 Pnt 1356 596 Pnt 1358 4556 Pnt 1358 596 Pnt 1359 4555 Pnt 1359 597 Pnt 1360 4555 Pnt 1360 597 Pnt 1362 4555 Pnt 1362 597 Pnt 1363 4555 Pnt 1363 597 Pnt 1364 4555 Pnt 1364 597 Pnt 1365 4555 Pnt 1365 597 Pnt 1367 4555 Pnt 1367 597 Pnt 1368 4554 Pnt 1368 598 Pnt 1369 4554 Pnt 1369 598 Pnt 1371 4554 Pnt 1371 598 Pnt 1372 4554 Pnt 1372 598 Pnt 1373 4554 Pnt 1373 598 Pnt 1375 4554 Pnt 1375 598 Pnt 1376 4553 Pnt 1376 599 Pnt 1377 4553 Pnt 1377 599 Pnt 1379 4553 Pnt 1379 599 Pnt 1380 4553 Pnt 1380 599 Pnt 1381 4553 Pnt 1381 599 Pnt 1382 4553 Pnt 1382 599 Pnt 1384 4553 Pnt 1384 599 Pnt 1385 4552 Pnt 1385 600 Pnt 1386 4552 Pnt 1386 600 Pnt 1388 4552 Pnt 1388 600 Pnt 1389 4552 Pnt 1389 600 Pnt 1390 4552 Pnt 1390 600 Pnt 1392 4552 Pnt 1392 600 Pnt 1393 4551 Pnt 1393 601 Pnt 1394 4551 Pnt 1394 601 Pnt 1396 4551 Pnt 1396 601 Pnt 1397 4551 Pnt 1397 601 Pnt 1398 4551 Pnt 1398 601 Pnt 1399 4551 Pnt 1399 601 Pnt 1401 4551 Pnt 1401 601 Pnt 1402 4550 Pnt 1402 602 Pnt 1403 4550 Pnt 1403 602 Pnt 1405 4550 Pnt 1405 602 Pnt 1406 4550 Pnt 1406 602 Pnt 1407 4550 Pnt 1407 602 Pnt 1409 4550 Pnt 1409 602 Pnt 1410 4549 Pnt 1410 603 Pnt 1411 4549 Pnt 1411 603 Pnt 1413 4549 Pnt 1413 603 Pnt 1414 4549 Pnt 1414 603 Pnt 1415 4549 Pnt 1415 603 Pnt 1416 4549 Pnt 1416 603 Pnt 1418 4548 Pnt 1418 604 Pnt 1419 4548 Pnt 1419 604 Pnt 1420 4548 Pnt 1420 604 Pnt 1422 4548 Pnt 1422 604 Pnt 1423 4548 Pnt 1423 604 Pnt 1424 4548 Pnt 1424 604 Pnt 1426 4548 Pnt 1426 604 Pnt 1427 4547 Pnt 1427 605 Pnt 1428 4547 Pnt 1428 605 Pnt 1430 4547 Pnt 1430 605 Pnt 1431 4547 Pnt 1431 605 Pnt 1432 4547 Pnt 1432 605 Pnt 1433 4547 Pnt 1433 605 Pnt 1435 4546 Pnt 1435 606 Pnt 1436 4546 Pnt 1436 606 Pnt 1437 4546 Pnt 1437 606 Pnt 1439 4546 Pnt 1439 606 Pnt 1440 4546 Pnt 1440 606 Pnt 1441 4546 Pnt 1441 606 Pnt 1443 4545 Pnt 1443 607 Pnt 1444 4545 Pnt 1444 607 Pnt 1445 4545 Pnt 1445 607 Pnt 1447 4545 Pnt 1447 607 Pnt 1448 4545 Pnt 1448 607 Pnt 1449 4545 Pnt 1449 607 Pnt 1450 4544 Pnt 1450 608 Pnt 1452 4544 Pnt 1452 608 Pnt 1453 4544 Pnt 1453 608 Pnt 1454 4544 Pnt 1454 608 Pnt 1456 4544 Pnt 1456 608 Pnt 1457 4544 Pnt 1457 608 Pnt 1458 4543 Pnt 1458 609 Pnt 1460 4543 Pnt 1460 609 Pnt 1461 4543 Pnt 1461 609 Pnt 1462 4543 Pnt 1462 609 Pnt 1464 4543 Pnt 1464 609 Pnt 1465 4543 Pnt 1465 609 Pnt 1466 4542 Pnt 1466 610 Pnt 1467 4542 Pnt 1467 610 Pnt 1469 4542 Pnt 1469 610 Pnt 1470 4542 Pnt 1470 610 Pnt 1471 4542 Pnt 1471 610 Pnt 1473 4542 Pnt 1473 610 Pnt 1474 4541 Pnt 1474 611 Pnt 1475 4541 Pnt 1475 611 Pnt 1477 4541 Pnt 1477 611 Pnt 1478 4541 Pnt 1478 611 Pnt 1479 4541 Pnt 1479 611 Pnt 1481 4541 Pnt 1481 611 Pnt 1482 4540 Pnt 1482 612 Pnt 1483 4540 Pnt 1483 612 Pnt 1484 4540 Pnt 1484 612 Pnt 1486 4540 Pnt 1486 612 Pnt 1487 4540 Pnt 1487 612 Pnt 1488 4540 Pnt 1488 612 Pnt 1490 4539 Pnt 1490 613 Pnt 1491 4539 Pnt 1491 613 Pnt 1492 4539 Pnt 1492 613 Pnt 1494 4539 Pnt 1494 613 Pnt 1495 4539 Pnt 1495 613 Pnt 1496 4539 Pnt 1496 613 Pnt 1498 4538 Pnt 1498 614 Pnt 1499 4538 Pnt 1499 614 Pnt 1500 4538 Pnt 1500 614 Pnt 1501 4538 Pnt 1501 614 Pnt 1503 4538 Pnt 1503 614 Pnt 1504 4537 Pnt 1504 615 Pnt 1505 4537 Pnt 1505 615 Pnt 1507 4537 Pnt 1507 615 Pnt 1508 4537 Pnt 1508 615 Pnt 1509 4537 Pnt 1509 615 Pnt 1511 4537 Pnt 1511 615 Pnt 1512 4536 Pnt 1512 616 Pnt 1513 4536 Pnt 1513 616 Pnt 1515 4536 Pnt 1515 616 Pnt 1516 4536 Pnt 1516 616 Pnt 1517 4536 Pnt 1517 616 Pnt 1518 4536 Pnt 1518 616 Pnt 1520 4535 Pnt 1520 617 Pnt 1521 4535 Pnt 1521 617 Pnt 1522 4535 Pnt 1522 617 Pnt 1524 4535 Pnt 1524 617 Pnt 1525 4535 Pnt 1525 617 Pnt 1526 4534 Pnt 1526 618 Pnt 1528 4534 Pnt 1528 618 Pnt 1529 4534 Pnt 1529 618 Pnt 1530 4534 Pnt 1530 618 Pnt 1532 4534 Pnt 1532 618 Pnt 1533 4534 Pnt 1533 618 Pnt 1534 4533 Pnt 1534 619 Pnt 1535 4533 Pnt 1535 619 Pnt 1537 4533 Pnt 1537 619 Pnt 1538 4533 Pnt 1538 619 Pnt 1539 4533 Pnt 1539 619 Pnt 1541 4533 Pnt 1541 619 Pnt 1542 4532 Pnt 1542 620 Pnt 1543 4532 Pnt 1543 620 Pnt 1545 4532 Pnt 1545 620 Pnt 1546 4532 Pnt 1546 620 Pnt 1547 4532 Pnt 1547 620 Pnt 1549 4531 Pnt 1549 621 Pnt 1550 4531 Pnt 1550 621 Pnt 1551 4531 Pnt 1551 621 Pnt 1552 4531 Pnt 1552 621 Pnt 1554 4531 Pnt 1554 621 Pnt 1555 4531 Pnt 1555 621 Pnt 1556 4530 Pnt 1556 622 Pnt 1558 4530 Pnt 1558 622 Pnt 1559 4530 Pnt 1559 622 Pnt 1560 4530 Pnt 1560 622 Pnt 1562 4530 Pnt 1562 622 Pnt 1563 4529 Pnt 1563 623 Pnt 1564 4529 Pnt 1564 623 Pnt 1566 4529 Pnt 1566 623 Pnt 1567 4529 Pnt 1567 623 Pnt 1568 4529 Pnt 1568 623 Pnt 1569 4528 Pnt 1569 624 Pnt 1571 4528 Pnt 1571 624 Pnt 1572 4528 Pnt 1572 624 Pnt 1573 4528 Pnt 1573 624 Pnt 1575 4528 Pnt 1575 624 Pnt 1576 4528 Pnt 1576 624 Pnt 1577 4527 Pnt 1577 625 Pnt 1579 4527 Pnt 1579 625 Pnt 1580 4527 Pnt 1580 625 Pnt 1581 4527 Pnt 1581 625 Pnt 1583 4527 Pnt 1583 625 Pnt 1584 4526 Pnt 1584 626 Pnt 1585 4526 Pnt 1585 626 Pnt 1586 4526 Pnt 1586 626 Pnt 1588 4526 Pnt 1588 626 Pnt 1589 4526 Pnt 1589 626 Pnt 1590 4525 Pnt 1590 627 Pnt 1592 4525 Pnt 1592 627 Pnt 1593 4525 Pnt 1593 627 Pnt 1594 4525 Pnt 1594 627 Pnt 1596 4525 Pnt 1596 627 Pnt 1597 4525 Pnt 1597 627 Pnt 1598 4524 Pnt 1598 628 Pnt 1600 4524 Pnt 1600 628 Pnt 1601 4524 Pnt 1601 628 Pnt 1602 4524 Pnt 1602 628 Pnt 1603 4524 Pnt 1603 628 Pnt 1605 4523 Pnt 1605 629 Pnt 1606 4523 Pnt 1606 629 Pnt 1607 4523 Pnt 1607 629 Pnt 1609 4523 Pnt 1609 629 Pnt 1610 4523 Pnt 1610 629 Pnt 1611 4522 Pnt 1611 630 Pnt 1613 4522 Pnt 1613 630 Pnt 1614 4522 Pnt 1614 630 Pnt 1615 4522 Pnt 1615 630 Pnt 1617 4522 Pnt 1617 630 Pnt 1618 4521 Pnt 1618 631 Pnt 1619 4521 Pnt 1619 631 Pnt 1620 4521 Pnt 1620 631 Pnt 1622 4521 Pnt 1622 631 Pnt 1623 4521 Pnt 1623 631 Pnt 1624 4520 Pnt 1624 632 Pnt 1626 4520 Pnt 1626 632 Pnt 1627 4520 Pnt 1627 632 Pnt 1628 4520 Pnt 1628 632 Pnt 1630 4520 Pnt 1630 632 Pnt 1631 4519 Pnt 1631 633 Pnt 1632 4519 Pnt 1632 633 Pnt 1634 4519 Pnt 1634 633 Pnt 1635 4519 Pnt 1635 633 Pnt 1636 4519 Pnt 1636 633 Pnt 1637 4518 Pnt 1637 634 Pnt 1639 4518 Pnt 1639 634 Pnt 1640 4518 Pnt 1640 634 Pnt 1641 4518 Pnt 1641 634 Pnt 1643 4518 Pnt 1643 634 Pnt 1644 4517 Pnt 1644 635 Pnt 1645 4517 Pnt 1645 635 Pnt 1647 4517 Pnt 1647 635 Pnt 1648 4517 Pnt 1648 635 Pnt 1649 4517 Pnt 1649 635 Pnt 1651 4516 Pnt 1651 636 Pnt 1652 4516 Pnt 1652 636 Pnt 1653 4516 Pnt 1653 636 Pnt 1654 4516 Pnt 1654 636 Pnt 1656 4516 Pnt 1656 636 Pnt 1657 4515 Pnt 1657 637 Pnt 1658 4515 Pnt 1658 637 Pnt 1660 4515 Pnt 1660 637 Pnt 1661 4515 Pnt 1661 637 Pnt 1662 4515 Pnt 1662 637 Pnt 1664 4514 Pnt 1664 638 Pnt 1665 4514 Pnt 1665 638 Pnt 1666 4514 Pnt 1666 638 Pnt 1668 4514 Pnt 1668 638 Pnt 1669 4514 Pnt 1669 638 Pnt 1670 4513 Pnt 1670 639 Pnt 1671 4513 Pnt 1671 639 Pnt 1673 4513 Pnt 1673 639 Pnt 1674 4513 Pnt 1674 639 Pnt 1675 4513 Pnt 1675 639 Pnt 1677 4512 Pnt 1677 640 Pnt 1678 4512 Pnt 1678 640 Pnt 1679 4512 Pnt 1679 640 Pnt 1681 4512 Pnt 1681 640 Pnt 1682 4512 Pnt 1682 640 Pnt 1683 4511 Pnt 1683 641 Pnt 1685 4511 Pnt 1685 641 Pnt 1686 4511 Pnt 1686 641 Pnt 1687 4511 Pnt 1687 641 Pnt 1688 4511 Pnt 1688 641 Pnt 1690 4510 Pnt 1690 642 Pnt 1691 4510 Pnt 1691 642 Pnt 1692 4510 Pnt 1692 642 Pnt 1694 4510 Pnt 1694 642 Pnt 1695 4510 Pnt 1695 642 Pnt 1696 4509 Pnt 1696 643 Pnt 1698 4509 Pnt 1698 643 Pnt 1699 4509 Pnt 1699 643 Pnt 1700 4509 Pnt 1700 643 Pnt 1702 4508 Pnt 1702 644 Pnt 1703 4508 Pnt 1703 644 Pnt 1704 4508 Pnt 1704 644 Pnt 1705 4508 Pnt 1705 644 Pnt 1707 4508 Pnt 1707 644 Pnt 1708 4507 Pnt 1708 645 Pnt 1709 4507 Pnt 1709 645 Pnt 1711 4507 Pnt 1711 645 Pnt 1712 4507 Pnt 1712 645 Pnt 1713 4507 Pnt 1713 645 Pnt 1715 4506 Pnt 1715 646 Pnt 1716 4506 Pnt 1716 646 Pnt 1717 4506 Pnt 1717 646 Pnt 1719 4506 Pnt 1719 646 Pnt 1720 4506 Pnt 1720 646 Pnt 1721 4505 Pnt 1721 647 Pnt 1722 4505 Pnt 1722 647 Pnt 1724 4505 Pnt 1724 647 Pnt 1725 4505 Pnt 1725 647 Pnt 1726 4504 Pnt 1726 648 Pnt 1728 4504 Pnt 1728 648 Pnt 1729 4504 Pnt 1729 648 Pnt 1730 4504 Pnt 1730 648 Pnt 1732 4504 Pnt 1732 648 Pnt 1733 4503 Pnt 1733 649 Pnt 1734 4503 Pnt 1734 649 Pnt 1736 4503 Pnt 1736 649 Pnt 1737 4503 Pnt 1737 649 Pnt 1738 4502 Pnt 1738 650 Pnt 1739 4502 Pnt 1739 650 Pnt 1741 4502 Pnt 1741 650 Pnt 1742 4502 Pnt 1742 650 Pnt 1743 4502 Pnt 1743 650 Pnt 1745 4501 Pnt 1745 651 Pnt 1746 4501 Pnt 1746 651 Pnt 1747 4501 Pnt 1747 651 Pnt 1749 4501 Pnt 1749 651 Pnt 1750 4501 Pnt 1750 651 Pnt 1751 4500 Pnt 1751 652 Pnt 1753 4500 Pnt 1753 652 Pnt 1754 4500 Pnt 1754 652 Pnt 1755 4500 Pnt 1755 652 Pnt 1756 4499 Pnt 1756 653 Pnt 1758 4499 Pnt 1758 653 Pnt 1759 4499 Pnt 1759 653 Pnt 1760 4499 Pnt 1760 653 Pnt 1762 4499 Pnt 1762 653 Pnt 1763 4498 Pnt 1763 654 Pnt 1764 4498 Pnt 1764 654 Pnt 1766 4498 Pnt 1766 654 Pnt 1767 4498 Pnt 1767 654 Pnt 1768 4497 Pnt 1768 655 Pnt 1770 4497 Pnt 1770 655 Pnt 1771 4497 Pnt 1771 655 Pnt 1772 4497 Pnt 1772 655 Pnt 1773 4497 Pnt 1773 655 Pnt 1775 4496 Pnt 1775 656 Pnt 1776 4496 Pnt 1776 656 Pnt 1777 4496 Pnt 1777 656 Pnt 1779 4496 Pnt 1779 656 Pnt 1780 4495 Pnt 1780 657 Pnt 1781 4495 Pnt 1781 657 Pnt 1783 4495 Pnt 1783 657 Pnt 1784 4495 Pnt 1784 657 Pnt 1785 4495 Pnt 1785 657 Pnt 1787 4494 Pnt 1787 658 Pnt 1788 4494 Pnt 1788 658 Pnt 1789 4494 Pnt 1789 658 Pnt 1790 4494 Pnt 1790 658 Pnt 1792 4493 Pnt 1792 659 Pnt 1793 4493 Pnt 1793 659 Pnt 1794 4493 Pnt 1794 659 Pnt 1796 4493 Pnt 1796 659 Pnt 1797 4492 Pnt 1797 660 Pnt 1798 4492 Pnt 1798 660 Pnt 1800 4492 Pnt 1800 660 Pnt 1801 4492 Pnt 1801 660 Pnt 1802 4492 Pnt 1802 660 Pnt 1804 4491 Pnt 1804 661 Pnt 1805 4491 Pnt 1805 661 Pnt 1806 4491 Pnt 1806 661 Pnt 1807 4491 Pnt 1807 661 Pnt 1809 4490 Pnt 1809 662 Pnt 1810 4490 Pnt 1810 662 Pnt 1811 4490 Pnt 1811 662 Pnt 1813 4490 Pnt 1813 662 Pnt 1814 4489 Pnt 1814 663 Pnt 1815 4489 Pnt 1815 663 Pnt 1817 4489 Pnt 1817 663 Pnt 1818 4489 Pnt 1818 663 Pnt 1819 4489 Pnt 1819 663 Pnt 1821 4488 Pnt 1821 664 Pnt 1822 4488 Pnt 1822 664 Pnt 1823 4488 Pnt 1823 664 Pnt 1824 4488 Pnt 1824 664 Pnt 1826 4487 Pnt 1826 665 Pnt 1827 4487 Pnt 1827 665 Pnt 1828 4487 Pnt 1828 665 Pnt 1830 4487 Pnt 1830 665 Pnt 1831 4486 Pnt 1831 666 Pnt 1832 4486 Pnt 1832 666 Pnt 1834 4486 Pnt 1834 666 Pnt 1835 4486 Pnt 1835 666 Pnt 1836 4485 Pnt 1836 667 Pnt 1838 4485 Pnt 1838 667 Pnt 1839 4485 Pnt 1839 667 Pnt 1840 4485 Pnt 1840 667 Pnt 1841 4485 Pnt 1841 667 Pnt 1843 4484 Pnt 1843 668 Pnt 1844 4484 Pnt 1844 668 Pnt 1845 4484 Pnt 1845 668 Pnt 1847 4484 Pnt 1847 668 Pnt 1848 4483 Pnt 1848 669 Pnt 1849 4483 Pnt 1849 669 Pnt 1851 4483 Pnt 1851 669 Pnt 1852 4483 Pnt 1852 669 Pnt 1853 4482 Pnt 1853 670 Pnt 1855 4482 Pnt 1855 670 Pnt 1856 4482 Pnt 1856 670 Pnt 1857 4482 Pnt 1857 670 Pnt 1858 4481 Pnt 1858 671 Pnt 1860 4481 Pnt 1860 671 Pnt 1861 4481 Pnt 1861 671 Pnt 1862 4481 Pnt 1862 671 Pnt 1864 4480 Pnt 1864 672 Pnt 1865 4480 Pnt 1865 672 Pnt 1866 4480 Pnt 1866 672 Pnt 1868 4480 Pnt 1868 672 Pnt 1869 4480 Pnt 1869 672 Pnt 1870 4479 Pnt 1870 673 Pnt 1872 4479 Pnt 1872 673 Pnt 1873 4479 Pnt 1873 673 Pnt 1874 4479 Pnt 1874 673 Pnt 1875 4478 Pnt 1875 674 Pnt 1877 4478 Pnt 1877 674 Pnt 1878 4478 Pnt 1878 674 Pnt 1879 4478 Pnt 1879 674 Pnt 1881 4477 Pnt 1881 675 Pnt 1882 4477 Pnt 1882 675 Pnt 1883 4477 Pnt 1883 675 Pnt 1885 4477 Pnt 1885 675 Pnt 1886 4476 Pnt 1886 676 Pnt 1887 4476 Pnt 1887 676 Pnt 1889 4476 Pnt 1889 676 Pnt 1890 4476 Pnt 1890 676 Pnt 1891 4475 Pnt 1891 677 Pnt 1892 4475 Pnt 1892 677 Pnt 1894 4475 Pnt 1894 677 Pnt 1895 4475 Pnt 1895 677 Pnt 1896 4474 Pnt 1896 678 Pnt 1898 4474 Pnt 1898 678 Pnt 1899 4474 Pnt 1899 678 Pnt 1900 4474 Pnt 1900 678 Pnt 1902 4473 Pnt 1902 679 Pnt 1903 4473 Pnt 1903 679 Pnt 1904 4473 Pnt 1904 679 Pnt 1906 4473 Pnt 1906 679 Pnt 1907 4472 Pnt 1907 680 Pnt 1908 4472 Pnt 1908 680 Pnt 1909 4472 Pnt 1909 680 Pnt 1911 4472 Pnt 1911 680 Pnt 1912 4471 Pnt 1912 681 Pnt 1913 4471 Pnt 1913 681 Pnt 1915 4471 Pnt 1915 681 Pnt 1916 4471 Pnt 1916 681 Pnt 1917 4470 Pnt 1917 682 Pnt 1919 4470 Pnt 1919 682 Pnt 1920 4470 Pnt 1920 682 Pnt 1921 4470 Pnt 1921 682 Pnt 1923 4469 Pnt 1923 683 Pnt 1924 4469 Pnt 1924 683 Pnt 1925 4469 Pnt 1925 683 Pnt 1926 4469 Pnt 1926 683 Pnt 1928 4468 Pnt 1928 684 Pnt 1929 4468 Pnt 1929 684 Pnt 1930 4468 Pnt 1930 684 Pnt 1932 4468 Pnt 1932 684 Pnt 1933 4467 Pnt 1933 685 Pnt 1934 4467 Pnt 1934 685 Pnt 1936 4467 Pnt 1936 685 Pnt 1937 4467 Pnt 1937 685 Pnt 1938 4466 Pnt 1938 686 Pnt 1940 4466 Pnt 1940 686 Pnt 1941 4466 Pnt 1941 686 Pnt 1942 4466 Pnt 1942 686 Pnt 1943 4465 Pnt 1943 687 Pnt 1945 4465 Pnt 1945 687 Pnt 1946 4465 Pnt 1946 687 Pnt 1947 4464 Pnt 1947 688 Pnt 1949 4464 Pnt 1949 688 Pnt 1950 4464 Pnt 1950 688 Pnt 1951 4464 Pnt 1951 688 Pnt 1953 4463 Pnt 1953 689 Pnt 1954 4463 Pnt 1954 689 Pnt 1955 4463 Pnt 1955 689 Pnt 1957 4463 Pnt 1957 689 Pnt 1958 4462 Pnt 1958 690 Pnt 1959 4462 Pnt 1959 690 Pnt 1960 4462 Pnt 1960 690 Pnt 1962 4462 Pnt 1962 690 Pnt 1963 4461 Pnt 1963 691 Pnt 1964 4461 Pnt 1964 691 Pnt 1966 4461 Pnt 1966 691 Pnt 1967 4461 Pnt 1967 691 Pnt 1968 4460 Pnt 1968 692 Pnt 1970 4460 Pnt 1970 692 Pnt 1971 4460 Pnt 1971 692 Pnt 1972 4460 Pnt 1972 692 Pnt 1974 4459 Pnt 1974 693 Pnt 1975 4459 Pnt 1975 693 Pnt 1976 4459 Pnt 1976 693 Pnt 1977 4458 Pnt 1977 694 Pnt 1979 4458 Pnt 1979 694 Pnt 1980 4458 Pnt 1980 694 Pnt 1981 4458 Pnt 1981 694 Pnt 1983 4457 Pnt 1983 695 Pnt 1984 4457 Pnt 1984 695 Pnt 1985 4457 Pnt 1985 695 Pnt 1987 4457 Pnt 1987 695 Pnt 1988 4456 Pnt 1988 696 Pnt 1989 4456 Pnt 1989 696 Pnt 1991 4456 Pnt 1991 696 Pnt 1992 4456 Pnt 1992 696 Pnt 1993 4455 Pnt 1993 697 Pnt 1994 4455 Pnt 1994 697 Pnt 1996 4455 Pnt 1996 697 Pnt 1997 4454 Pnt 1997 698 Pnt 1998 4454 Pnt 1998 698 Pnt 2000 4454 Pnt 2000 698 Pnt 2001 4454 Pnt 2001 698 Pnt 2002 4453 Pnt 2002 699 Pnt 2004 4453 Pnt 2004 699 Pnt 2005 4453 Pnt 2005 699 Pnt 2006 4453 Pnt 2006 699 Pnt 2008 4452 Pnt 2008 700 Pnt 2009 4452 Pnt 2009 700 Pnt 2010 4452 Pnt 2010 700 Pnt 2011 4451 Pnt 2011 701 Pnt 2013 4451 Pnt 2013 701 Pnt 2014 4451 Pnt 2014 701 Pnt 2015 4451 Pnt 2015 701 Pnt 2017 4450 Pnt 2017 702 Pnt 2018 4450 Pnt 2018 702 Pnt 2019 4450 Pnt 2019 702 Pnt 2021 4450 Pnt 2021 702 Pnt 2022 4449 Pnt 2022 703 Pnt 2023 4449 Pnt 2023 703 Pnt 2025 4449 Pnt 2025 703 Pnt 2026 4448 Pnt 2026 704 Pnt 2027 4448 Pnt 2027 704 Pnt 2028 4448 Pnt 2028 704 Pnt 2030 4448 Pnt 2030 704 Pnt 2031 4447 Pnt 2031 705 Pnt 2032 4447 Pnt 2032 705 Pnt 2034 4447 Pnt 2034 705 Pnt 2035 4447 Pnt 2035 705 Pnt 2036 4446 Pnt 2036 706 Pnt 2038 4446 Pnt 2038 706 Pnt 2039 4446 Pnt 2039 706 Pnt 2040 4445 Pnt 2040 707 Pnt 2042 4445 Pnt 2042 707 Pnt 2043 4445 Pnt 2043 707 Pnt 2044 4445 Pnt 2044 707 Pnt 2045 4444 Pnt 2045 708 Pnt 2047 4444 Pnt 2047 708 Pnt 2048 4444 Pnt 2048 708 Pnt 2049 4443 Pnt 2049 709 Pnt 2051 4443 Pnt 2051 709 Pnt 2052 4443 Pnt 2052 709 Pnt 2053 4443 Pnt 2053 709 Pnt 2055 4442 Pnt 2055 710 Pnt 2056 4442 Pnt 2056 710 Pnt 2057 4442 Pnt 2057 710 Pnt 2059 4441 Pnt 2059 711 Pnt 2060 4441 Pnt 2060 711 Pnt 2061 4441 Pnt 2061 711 Pnt 2062 4441 Pnt 2062 711 Pnt 2064 4440 Pnt 2064 712 Pnt 2065 4440 Pnt 2065 712 Pnt 2066 4440 Pnt 2066 712 Pnt 2068 4440 Pnt 2068 712 Pnt 2069 4439 Pnt 2069 713 Pnt 2070 4439 Pnt 2070 713 Pnt 2072 4439 Pnt 2072 713 Pnt 2073 4438 Pnt 2073 714 Pnt 2074 4438 Pnt 2074 714 Pnt 2076 4438 Pnt 2076 714 Pnt 2077 4438 Pnt 2077 714 Pnt 2078 4437 Pnt 2078 715 Pnt 2079 4437 Pnt 2079 715 Pnt 2081 4437 Pnt 2081 715 Pnt 2082 4436 Pnt 2082 716 Pnt 2083 4436 Pnt 2083 716 Pnt 2085 4436 Pnt 2085 716 Pnt 2086 4436 Pnt 2086 716 Pnt 2087 4435 Pnt 2087 717 Pnt 2089 4435 Pnt 2089 717 Pnt 2090 4435 Pnt 2090 717 Pnt 2091 4434 Pnt 2091 718 Pnt 2093 4434 Pnt 2093 718 Pnt 2094 4434 Pnt 2094 718 Pnt 2095 4433 Pnt 2095 719 Pnt 2096 4433 Pnt 2096 719 Pnt 2098 4433 Pnt 2098 719 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Pnt 2970 4158 Pnt 2970 994 Pnt 2971 4158 Pnt 2971 994 Pnt 2973 4157 Pnt 2973 995 Pnt 2974 4157 Pnt 2974 995 Pnt 2975 4156 Pnt 2975 996 Pnt 2977 4155 Pnt 2977 997 Pnt 2978 4155 Pnt 2978 997 Pnt 2979 4154 Pnt 2979 998 Pnt 2980 4154 Pnt 2980 998 Pnt 2982 4153 Pnt 2982 999 Pnt 2983 4153 Pnt 2983 999 Pnt 2984 4152 Pnt 2984 1000 Pnt 2986 4151 Pnt 2986 1001 Pnt 2987 4151 Pnt 2987 1001 Pnt 2988 4150 Pnt 2988 1002 Pnt 2990 4150 Pnt 2990 1002 Pnt 2991 4149 Pnt 2991 1003 Pnt 2992 4149 Pnt 2992 1003 Pnt 2994 4148 Pnt 2994 1004 Pnt 2995 4147 Pnt 2995 1005 Pnt 2996 4147 Pnt 2996 1005 Pnt 2997 4146 Pnt 2997 1006 Pnt 2999 4146 Pnt 2999 1006 Pnt 3000 4145 Pnt 3000 1007 Pnt 3001 4144 Pnt 3001 1008 Pnt 3003 4144 Pnt 3003 1008 Pnt 3004 4143 Pnt 3004 1009 Pnt 3005 4143 Pnt 3005 1009 Pnt 3007 4142 Pnt 3007 1010 Pnt 3008 4142 Pnt 3008 1010 Pnt 3009 4141 Pnt 3009 1011 Pnt 3011 4140 Pnt 3011 1012 Pnt 3012 4140 Pnt 3012 1012 Pnt 3013 4139 Pnt 3013 1013 Pnt 3014 4139 Pnt 3014 1013 Pnt 3016 4138 Pnt 3016 1014 Pnt 3017 4137 Pnt 3017 1015 Pnt 3018 4137 Pnt 3018 1015 Pnt 3020 4136 Pnt 3020 1016 Pnt 3021 4136 Pnt 3021 1016 Pnt 3022 4135 Pnt 3022 1017 Pnt 3024 4134 Pnt 3024 1018 Pnt 3025 4134 Pnt 3025 1018 Pnt 3026 4133 Pnt 3026 1019 Pnt 3028 4133 Pnt 3028 1019 Pnt 3029 4132 Pnt 3029 1020 Pnt 3030 4131 Pnt 3030 1021 Pnt 3031 4131 Pnt 3031 1021 Pnt 3033 4130 Pnt 3033 1022 Pnt 3034 4130 Pnt 3034 1022 Pnt 3035 4129 Pnt 3035 1023 Pnt 3037 4128 Pnt 3037 1024 Pnt 3038 4128 Pnt 3038 1024 Pnt 3039 4127 Pnt 3039 1025 Pnt 3041 4127 Pnt 3041 1025 Pnt 3042 4126 Pnt 3042 1026 Pnt 3043 4125 Pnt 3043 1027 Pnt 3045 4125 Pnt 3045 1027 Pnt 3046 4124 Pnt 3046 1028 Pnt 3047 4124 Pnt 3047 1028 Pnt 3048 4123 Pnt 3048 1029 Pnt 3050 4122 Pnt 3050 1030 Pnt 3051 4122 Pnt 3051 1030 Pnt 3052 4121 Pnt 3052 1031 Pnt 3054 4121 Pnt 3054 1031 Pnt 3055 4120 Pnt 3055 1032 Pnt 3056 4119 Pnt 3056 1033 Pnt 3058 4119 Pnt 3058 1033 Pnt 3059 4118 Pnt 3059 1034 Pnt 3060 4117 Pnt 3060 1035 Pnt 3062 4117 Pnt 3062 1035 Pnt 3063 4116 Pnt 3063 1036 Pnt 3064 4116 Pnt 3064 1036 Pnt 3065 4115 Pnt 3065 1037 Pnt 3067 4114 Pnt 3067 1038 Pnt 3068 4114 Pnt 3068 1038 Pnt 3069 4113 Pnt 3069 1039 Pnt 3071 4113 Pnt 3071 1039 Pnt 3072 4112 Pnt 3072 1040 Pnt 3073 4111 Pnt 3073 1041 Pnt 3075 4111 Pnt 3075 1041 Pnt 3076 4110 Pnt 3076 1042 Pnt 3077 4109 Pnt 3077 1043 Pnt 3079 4109 Pnt 3079 1043 Pnt 3080 4108 Pnt 3080 1044 Pnt 3081 4107 Pnt 3081 1045 Pnt 3082 4107 Pnt 3082 1045 Pnt 3084 4106 Pnt 3084 1046 Pnt 3085 4106 Pnt 3085 1046 Pnt 3086 4105 Pnt 3086 1047 Pnt 3088 4104 Pnt 3088 1048 Pnt 3089 4104 Pnt 3089 1048 Pnt 3090 4103 Pnt 3090 1049 Pnt 3092 4102 Pnt 3092 1050 Pnt 3093 4102 Pnt 3093 1050 Pnt 3094 4101 Pnt 3094 1051 Pnt 3096 4101 Pnt 3096 1051 Pnt 3097 4100 Pnt 3097 1052 Pnt 3098 4099 Pnt 3098 1053 Pnt 3099 4099 Pnt 3099 1053 Pnt 3101 4098 Pnt 3101 1054 Pnt 3102 4097 Pnt 3102 1055 Pnt 3103 4097 Pnt 3103 1055 Pnt 3105 4096 Pnt 3105 1056 Pnt 3106 4095 Pnt 3106 1057 Pnt 3107 4095 Pnt 3107 1057 Pnt 3109 4094 Pnt 3109 1058 Pnt 3110 4093 Pnt 3110 1059 Pnt 3111 4093 Pnt 3111 1059 Pnt 3113 4092 Pnt 3113 1060 Pnt 3114 4092 Pnt 3114 1060 Pnt 3115 4091 Pnt 3115 1061 Pnt 3116 4090 Pnt 3116 1062 Pnt 3118 4090 Pnt 3118 1062 Pnt 3119 4089 Pnt 3119 1063 Pnt 3120 4088 Pnt 3120 1064 Pnt 3122 4088 Pnt 3122 1064 Pnt 3123 4087 Pnt 3123 1065 Pnt 3124 4086 Pnt 3124 1066 Pnt 3126 4086 Pnt 3126 1066 Pnt 3127 4085 Pnt 3127 1067 Pnt 3128 4084 Pnt 3128 1068 Pnt 3130 4084 Pnt 3130 1068 Pnt 3131 4083 Pnt 3131 1069 Pnt 3132 4082 Pnt 3132 1070 Pnt 3133 4082 Pnt 3133 1070 Pnt 3135 4081 Pnt 3135 1071 Pnt 3136 4080 Pnt 3136 1072 Pnt 3137 4080 Pnt 3137 1072 Pnt 3139 4079 Pnt 3139 1073 Pnt 3140 4078 Pnt 3140 1074 Pnt 3141 4078 Pnt 3141 1074 Pnt 3143 4077 Pnt 3143 1075 Pnt 3144 4076 Pnt 3144 1076 Pnt 3145 4076 Pnt 3145 1076 Pnt 3147 4075 Pnt 3147 1077 Pnt 3148 4074 Pnt 3148 1078 Pnt 3149 4074 Pnt 3149 1078 Pnt 3150 4073 Pnt 3150 1079 Pnt 3152 4072 Pnt 3152 1080 Pnt 3153 4072 Pnt 3153 1080 Pnt 3154 4071 Pnt 3154 1081 Pnt 3156 4070 Pnt 3156 1082 Pnt 3157 4070 Pnt 3157 1082 Pnt 3158 4069 Pnt 3158 1083 Pnt 3160 4068 Pnt 3160 1084 Pnt 3161 4068 Pnt 3161 1084 Pnt 3162 4067 Pnt 3162 1085 Pnt 3164 4066 Pnt 3164 1086 Pnt 3165 4066 Pnt 3165 1086 Pnt 3166 4065 Pnt 3166 1087 Pnt 3167 4064 Pnt 3167 1088 Pnt 3169 4063 Pnt 3169 1089 Pnt 3170 4063 Pnt 3170 1089 Pnt 3171 4062 Pnt 3171 1090 Pnt 3173 4061 Pnt 3173 1091 Pnt 3174 4061 Pnt 3174 1091 Pnt 3175 4060 Pnt 3175 1092 Pnt 3177 4059 Pnt 3177 1093 Pnt 3178 4059 Pnt 3178 1093 Pnt 3179 4058 Pnt 3179 1094 Pnt 3181 4057 Pnt 3181 1095 Pnt 3182 4057 Pnt 3182 1095 Pnt 3183 4056 Pnt 3183 1096 Pnt 3184 4055 Pnt 3184 1097 Pnt 3186 4054 Pnt 3186 1098 Pnt 3187 4054 Pnt 3187 1098 Pnt 3188 4053 Pnt 3188 1099 Pnt 3190 4052 Pnt 3190 1100 Pnt 3191 4052 Pnt 3191 1100 Pnt 3192 4051 Pnt 3192 1101 Pnt 3194 4050 Pnt 3194 1102 Pnt 3195 4050 Pnt 3195 1102 Pnt 3196 4049 Pnt 3196 1103 Pnt 3198 4048 Pnt 3198 1104 Pnt 3199 4047 Pnt 3199 1105 Pnt 3200 4047 Pnt 3200 1105 Pnt 3201 4046 Pnt 3201 1106 Pnt 3203 4045 Pnt 3203 1107 Pnt 3204 4045 Pnt 3204 1107 Pnt 3205 4044 Pnt 3205 1108 Pnt 3207 4043 Pnt 3207 1109 Pnt 3208 4042 Pnt 3208 1110 Pnt 3209 4042 Pnt 3209 1110 Pnt 3211 4041 Pnt 3211 1111 Pnt 3212 4040 Pnt 3212 1112 Pnt 3213 4040 Pnt 3213 1112 Pnt 3215 4039 Pnt 3215 1113 Pnt 3216 4038 Pnt 3216 1114 Pnt 3217 4037 Pnt 3217 1115 Pnt 3218 4037 Pnt 3218 1115 Pnt 3220 4036 Pnt 3220 1116 Pnt 3221 4035 Pnt 3221 1117 Pnt 3222 4034 Pnt 3222 1118 Pnt 3224 4034 Pnt 3224 1118 Pnt 3225 4033 Pnt 3225 1119 Pnt 3226 4032 Pnt 3226 1120 Pnt 3228 4032 Pnt 3228 1120 Pnt 3229 4031 Pnt 3229 1121 Pnt 3230 4030 Pnt 3230 1122 Pnt 3232 4029 Pnt 3232 1123 Pnt 3233 4029 Pnt 3233 1123 Pnt 3234 4028 Pnt 3234 1124 Pnt 3235 4027 Pnt 3235 1125 Pnt 3237 4026 Pnt 3237 1126 Pnt 3238 4026 Pnt 3238 1126 Pnt 3239 4025 Pnt 3239 1127 Pnt 3241 4024 Pnt 3241 1128 Pnt 3242 4023 Pnt 3242 1129 Pnt 3243 4023 Pnt 3243 1129 Pnt 3245 4022 Pnt 3245 1130 Pnt 3246 4021 Pnt 3246 1131 Pnt 3247 4020 Pnt 3247 1132 Pnt 3249 4020 Pnt 3249 1132 Pnt 3250 4019 Pnt 3250 1133 Pnt 3251 4018 Pnt 3251 1134 Pnt 3252 4017 Pnt 3252 1135 Pnt 3254 4017 Pnt 3254 1135 Pnt 3255 4016 Pnt 3255 1136 Pnt 3256 4015 Pnt 3256 1137 Pnt 3258 4014 Pnt 3258 1138 Pnt 3259 4014 Pnt 3259 1138 Pnt 3260 4013 Pnt 3260 1139 Pnt 3262 4012 Pnt 3262 1140 Pnt 3263 4011 Pnt 3263 1141 Pnt 3264 4011 Pnt 3264 1141 Pnt 3266 4010 Pnt 3266 1142 Pnt 3267 4009 Pnt 3267 1143 Pnt 3268 4008 Pnt 3268 1144 Pnt 3269 4008 Pnt 3269 1144 Pnt 3271 4007 Pnt 3271 1145 Pnt 3272 4006 Pnt 3272 1146 Pnt 3273 4005 Pnt 3273 1147 Pnt 3275 4004 Pnt 3275 1148 Pnt 3276 4004 Pnt 3276 1148 Pnt 3277 4003 Pnt 3277 1149 Pnt 3279 4002 Pnt 3279 1150 Pnt 3280 4001 Pnt 3280 1151 Pnt 3281 4001 Pnt 3281 1151 Pnt 3283 4000 Pnt 3283 1152 Pnt 3284 3999 Pnt 3284 1153 Pnt 3285 3998 Pnt 3285 1154 Pnt 3286 3997 Pnt 3286 1155 Pnt 3288 3997 Pnt 3288 1155 Pnt 3289 3996 Pnt 3289 1156 Pnt 3290 3995 Pnt 3290 1157 Pnt 3292 3994 Pnt 3292 1158 Pnt 3293 3994 Pnt 3293 1158 Pnt 3294 3993 Pnt 3294 1159 Pnt 3296 3992 Pnt 3296 1160 Pnt 3297 3991 Pnt 3297 1161 Pnt 3298 3990 Pnt 3298 1162 Pnt 3300 3990 Pnt 3300 1162 Pnt 3301 3989 Pnt 3301 1163 Pnt 3302 3988 Pnt 3302 1164 Pnt 3303 3987 Pnt 3303 1165 Pnt 3305 3986 Pnt 3305 1166 Pnt 3306 3986 Pnt 3306 1166 Pnt 3307 3985 Pnt 3307 1167 Pnt 3309 3984 Pnt 3309 1168 Pnt 3310 3983 Pnt 3310 1169 Pnt 3311 3982 Pnt 3311 1170 Pnt 3313 3981 Pnt 3313 1171 Pnt 3314 3981 Pnt 3314 1171 Pnt 3315 3980 Pnt 3315 1172 Pnt 3317 3979 Pnt 3317 1173 Pnt 3318 3978 Pnt 3318 1174 Pnt 3319 3977 Pnt 3319 1175 Pnt 3320 3977 Pnt 3320 1175 Pnt 3322 3976 Pnt 3322 1176 Pnt 3323 3975 Pnt 3323 1177 Pnt 3324 3974 Pnt 3324 1178 Pnt 3326 3973 Pnt 3326 1179 Pnt 3327 3972 Pnt 3327 1180 Pnt 3328 3972 Pnt 3328 1180 Pnt 3330 3971 Pnt 3330 1181 Pnt 3331 3970 Pnt 3331 1182 Pnt 3332 3969 Pnt 3332 1183 Pnt 3334 3968 Pnt 3334 1184 Pnt 3335 3967 Pnt 3335 1185 Pnt 3336 3967 Pnt 3336 1185 Pnt 3337 3966 Pnt 3337 1186 Pnt 3339 3965 Pnt 3339 1187 Pnt 3340 3964 Pnt 3340 1188 Pnt 3341 3963 Pnt 3341 1189 Pnt 3343 3962 Pnt 3343 1190 Pnt 3344 3962 Pnt 3344 1190 Pnt 3345 3961 Pnt 3345 1191 Pnt 3347 3960 Pnt 3347 1192 Pnt 3348 3959 Pnt 3348 1193 Pnt 3349 3958 Pnt 3349 1194 Pnt 3351 3957 Pnt 3351 1195 Pnt 3352 3956 Pnt 3352 1196 Pnt 3353 3956 Pnt 3353 1196 Pnt 3354 3955 Pnt 3354 1197 Pnt 3356 3954 Pnt 3356 1198 Pnt 3357 3953 Pnt 3357 1199 Pnt 3358 3952 Pnt 3358 1200 Pnt 3360 3951 Pnt 3360 1201 Pnt 3361 3950 Pnt 3361 1202 Pnt 3362 3950 Pnt 3362 1202 Pnt 3364 3949 Pnt 3364 1203 Pnt 3365 3948 Pnt 3365 1204 Pnt 3366 3947 Pnt 3366 1205 Pnt 3368 3946 Pnt 3368 1206 Pnt 3369 3945 Pnt 3369 1207 Pnt 3370 3944 Pnt 3370 1208 Pnt 3371 3943 Pnt 3371 1209 Pnt 3373 3943 Pnt 3373 1209 Pnt 3374 3942 Pnt 3374 1210 Pnt 3375 3941 Pnt 3375 1211 Pnt 3377 3940 Pnt 3377 1212 Pnt 3378 3939 Pnt 3378 1213 Pnt 3379 3938 Pnt 3379 1214 Pnt 3381 3937 Pnt 3381 1215 Pnt 3382 3936 Pnt 3382 1216 Pnt 3383 3935 Pnt 3383 1217 Pnt 3385 3935 Pnt 3385 1217 Pnt 3386 3934 Pnt 3386 1218 Pnt 3387 3933 Pnt 3387 1219 Pnt 3388 3932 Pnt 3388 1220 Pnt 3390 3931 Pnt 3390 1221 Pnt 3391 3930 Pnt 3391 1222 Pnt 3392 3929 Pnt 3392 1223 Pnt 3394 3928 Pnt 3394 1224 Pnt 3395 3927 Pnt 3395 1225 Pnt 3396 3926 Pnt 3396 1226 Pnt 3398 3925 Pnt 3398 1227 Pnt 3399 3925 Pnt 3399 1227 Pnt 3400 3924 Pnt 3400 1228 Pnt 3402 3923 Pnt 3402 1229 Pnt 3403 3922 Pnt 3403 1230 Pnt 3404 3921 Pnt 3404 1231 Pnt 3405 3920 Pnt 3405 1232 Pnt 3407 3919 Pnt 3407 1233 Pnt 3408 3918 Pnt 3408 1234 Pnt 3409 3917 Pnt 3409 1235 Pnt 3411 3916 Pnt 3411 1236 Pnt 3412 3915 Pnt 3412 1237 Pnt 3413 3914 Pnt 3413 1238 Pnt 3415 3913 Pnt 3415 1239 Pnt 3416 3912 Pnt 3416 1240 Pnt 3417 3912 Pnt 3417 1240 Pnt 3419 3911 Pnt 3419 1241 Pnt 3420 3910 Pnt 3420 1242 Pnt 3421 3909 Pnt 3421 1243 Pnt 3422 3908 Pnt 3422 1244 Pnt 3424 3907 Pnt 3424 1245 Pnt 3425 3906 Pnt 3425 1246 Pnt 3426 3905 Pnt 3426 1247 Pnt 3428 3904 Pnt 3428 1248 Pnt 3429 3903 Pnt 3429 1249 Pnt 3430 3902 Pnt 3430 1250 Pnt 3432 3901 Pnt 3432 1251 Pnt 3433 3900 Pnt 3433 1252 Pnt 3434 3899 Pnt 3434 1253 Pnt 3436 3898 Pnt 3436 1254 Pnt 3437 3897 Pnt 3437 1255 Pnt 3438 3896 Pnt 3438 1256 Pnt 3439 3895 Pnt 3439 1257 Pnt 3441 3894 Pnt 3441 1258 Pnt 3442 3893 Pnt 3442 1259 Pnt 3443 3892 Pnt 3443 1260 Pnt 3445 3891 Pnt 3445 1261 Pnt 3446 3890 Pnt 3446 1262 Pnt 3447 3889 Pnt 3447 1263 Pnt 3449 3888 Pnt 3449 1264 Pnt 3450 3887 Pnt 3450 1265 Pnt 3451 3886 Pnt 3451 1266 Pnt 3453 3885 Pnt 3453 1267 Pnt 3454 3884 Pnt 3454 1268 Pnt 3455 3883 Pnt 3455 1269 Pnt 3456 3882 Pnt 3456 1270 Pnt 3458 3881 Pnt 3458 1271 Pnt 3459 3880 Pnt 3459 1272 Pnt 3460 3879 Pnt 3460 1273 Pnt 3462 3878 Pnt 3462 1274 Pnt 3463 3877 Pnt 3463 1275 Pnt 3464 3876 Pnt 3464 1276 Pnt 3466 3875 Pnt 3466 1277 Pnt 3467 3874 Pnt 3467 1278 Pnt 3468 3873 Pnt 3468 1279 Pnt 3470 3872 Pnt 3470 1280 Pnt 3471 3871 Pnt 3471 1281 Pnt 3472 3870 Pnt 3472 1282 Pnt 3473 3869 Pnt 3473 1283 Pnt 3475 3868 Pnt 3475 1284 Pnt 3476 3867 Pnt 3476 1285 Pnt 3477 3866 Pnt 3477 1286 Pnt 3479 3864 Pnt 3479 1288 Pnt 3480 3863 Pnt 3480 1289 Pnt 3481 3862 Pnt 3481 1290 Pnt 3483 3861 Pnt 3483 1291 Pnt 3484 3860 Pnt 3484 1292 Pnt 3485 3859 Pnt 3485 1293 Pnt 3487 3858 Pnt 3487 1294 Pnt 3488 3857 Pnt 3488 1295 Pnt 3489 3856 Pnt 3489 1296 Pnt 3490 3855 Pnt 3490 1297 Pnt 3492 3854 Pnt 3492 1298 Pnt 3493 3853 Pnt 3493 1299 Pnt 3494 3852 Pnt 3494 1300 Pnt 3496 3850 Pnt 3496 1302 Pnt 3497 3849 Pnt 3497 1303 Pnt 3498 3848 Pnt 3498 1304 Pnt 3500 3847 Pnt 3500 1305 Pnt 3501 3846 Pnt 3501 1306 Pnt 3502 3845 Pnt 3502 1307 Pnt 3504 3844 Pnt 3504 1308 Pnt 3505 3843 Pnt 3505 1309 Pnt 3506 3842 Pnt 3506 1310 Pnt 3507 3840 Pnt 3507 1312 Pnt 3509 3839 Pnt 3509 1313 Pnt 3510 3838 Pnt 3510 1314 Pnt 3511 3837 Pnt 3511 1315 Pnt 3513 3836 Pnt 3513 1316 Pnt 3514 3835 Pnt 3514 1317 Pnt 3515 3834 Pnt 3515 1318 Pnt 3517 3832 Pnt 3517 1320 Pnt 3518 3831 Pnt 3518 1321 Pnt 3519 3830 Pnt 3519 1322 Pnt 3521 3829 Pnt 3521 1323 Pnt 3522 3828 Pnt 3522 1324 Pnt 3523 3827 Pnt 3523 1325 Pnt 3524 3825 Pnt 3524 1327 Pnt 3526 3824 Pnt 3526 1328 Pnt 3527 3823 Pnt 3527 1329 Pnt 3528 3822 Pnt 3528 1330 Pnt 3530 3821 Pnt 3530 1331 Pnt 3531 3819 Pnt 3531 1333 Pnt 3532 3818 Pnt 3532 1334 Pnt 3534 3817 Pnt 3534 1335 Pnt 3535 3816 Pnt 3535 1336 Pnt 3536 3815 Pnt 3536 1337 Pnt 3538 3813 Pnt 3538 1339 Pnt 3539 3812 Pnt 3539 1340 Pnt 3540 3811 Pnt 3540 1341 Pnt 3541 3810 Pnt 3541 1342 Pnt 3543 3809 Pnt 3543 1343 Pnt 3544 3807 Pnt 3544 1345 Pnt 3545 3806 Pnt 3545 1346 Pnt 3547 3805 Pnt 3547 1347 Pnt 3548 3804 Pnt 3548 1348 Pnt 3549 3802 Pnt 3549 1350 Pnt 3551 3801 Pnt 3551 1351 Pnt 3552 3800 Pnt 3552 1352 Pnt 3553 3798 Pnt 3553 1354 Pnt 3555 3797 Pnt 3555 1355 Pnt 3556 3796 Pnt 3556 1356 Pnt 3557 3795 Pnt 3557 1357 Pnt 3558 3793 Pnt 3558 1359 Pnt 3560 3792 Pnt 3560 1360 Pnt 3561 3791 Pnt 3561 1361 Pnt 3562 3789 Pnt 3562 1363 Pnt 3564 3788 Pnt 3564 1364 Pnt 3565 3787 Pnt 3565 1365 Pnt 3566 3785 Pnt 3566 1367 Pnt 3568 3784 Pnt 3568 1368 Pnt 3569 3783 Pnt 3569 1369 Pnt 3570 3781 Pnt 3570 1371 Pnt 3572 3780 Pnt 3572 1372 Pnt 3573 3779 Pnt 3573 1373 Pnt 3574 3777 Pnt 3574 1375 Pnt 3575 3776 Pnt 3575 1376 Pnt 3577 3775 Pnt 3577 1377 Pnt 3578 3773 Pnt 3578 1379 Pnt 3579 3772 Pnt 3579 1380 Pnt 3581 3770 Pnt 3581 1382 Pnt 3582 3769 Pnt 3582 1383 Pnt 3583 3768 Pnt 3583 1384 Pnt 3585 3766 Pnt 3585 1386 Pnt 3586 3765 Pnt 3586 1387 Pnt 3587 3763 Pnt 3587 1389 Pnt 3589 3762 Pnt 3589 1390 Pnt 3590 3760 Pnt 3590 1392 Pnt 3591 3759 Pnt 3591 1393 Pnt 3592 3758 Pnt 3592 1394 Pnt 3594 3756 Pnt 3594 1396 Pnt 3595 3755 Pnt 3595 1397 Pnt 3596 3753 Pnt 3596 1399 Pnt 3598 3752 Pnt 3598 1400 Pnt 3599 3750 Pnt 3599 1402 Pnt 3600 3749 Pnt 3600 1403 Pnt 3602 3747 Pnt 3602 1405 Pnt 3603 3746 Pnt 3603 1406 Pnt 3604 3744 Pnt 3604 1408 Pnt 3606 3742 Pnt 3606 1410 Pnt 3607 3741 Pnt 3607 1411 Pnt 3608 3739 Pnt 3608 1413 Pnt 3609 3738 Pnt 3609 1414 Pnt 3611 3736 Pnt 3611 1416 Pnt 3612 3735 Pnt 3612 1417 Pnt 3613 3733 Pnt 3613 1419 Pnt 3615 3731 Pnt 3615 1421 Pnt 3616 3730 Pnt 3616 1422 Pnt 3617 3728 Pnt 3617 1424 Pnt 3619 3726 Pnt 3619 1426 Pnt 3620 3725 Pnt 3620 1427 Pnt 3621 3723 Pnt 3621 1429 Pnt 3623 3721 Pnt 3623 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3562 y Fn(\))15 b(cos)h Fj(g)s Fn(\()p Fj(\026)3800 3576 y Fi(x)3845 3562 y Fn(\))3880 3468 y Fc(i)3919 3562 y Fn(,)212 3691 y(where)33 b Fj(g)s Fn(\()p Fj(\026)614 3705 y Fi(x)659 3691 y Fn(\))g(is)g(the)g(solution) f(of)i(the)f(equation)g Fj(x)23 b Fl(\000)f Fn(sin)13 b Fj(x)30 b Fn(=)g Fj(\026)2500 3705 y Fi(x)2577 3691 y Fn(in)i(the)i(in)m(terv)-5 b(al)33 b(\()p Fl(\000)p Fj(\031)s(;)15 b(\031)s Fn(])34 b(for)f Fj(\017)d Fn(=)g(0)p Fj(:)p Fn(1.)212 3804 y(The)g(abscissa)g(denotes)h Fj(\026)1128 3818 y Fi(x)1202 3804 y Fn(and)e(the)i(ordinate)f(corresp)s(onds)f(to)i Fj(\015)5 b Fn(\()p Fj(\026)2646 3818 y Fi(x)2690 3804 y Fn(\).)2033 5964 y(43)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF