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T*
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[(con)27.8(tains)-355.6(p)-28.2(erio)-27.8(dic)-354.3(o)0.2(rbits)-354.7(of)-355(all)-353.9(braid)-354.4(t)28.2(y)0(p)-28.2(e)-0.2(s)-354.7([)0.2(Kin)-355.3(00],)-360.2(so)-353(it)]TJ
T*
[(is)-333.9(com)28.2(binatorially)-337.9(univ)28(e)-0.2(rsal.)]TJ
1.1997 -1.3 TD
[(The)-356.2(f)0(orcing)-356.6(relation)-358(for)-356.5(p)-28.2(erio)-27.8(dic)-356.2(o)0.2(rbits)-356.5(of)-355.9(surface)-356.2(d)-0.2(if-)]TJ
-1.1997 -1.3 TD
-0.0001 Tc
[(feomorphisms)-289.5(c)-0.1(an)-288.3(b)-28.1(e)-288.3(studied)-288.3(using)-287.9(t)0.3(he)-289.2(Nielsen-Th)27.9(u)-0.1(rston)]TJ
0 -1.3009 TD
-0.0002 Tc
[(theory)-390.3(of)-390.2(surface)-389.6(h)-0.2(omeomorphisms)-391.7([Th)27.8(urston)-391.4(88].)-615(This)]TJ
0 -1.3 TD
[(giv)28(es)-438.7(a)-437.9(c)-0.2(lassication)-439.3(of)-438.1(surface)-437.5(h)-0.2(omeomorphisms)-439.6(u)-0.2(p)-437.5(t)0.2(o)]TJ
T*
-0.0001 Tc
[(isotop)27.9(y)-322.4(a)0.3(nd)-320.8(pro)28.3(v)0.1(ides)-322(a)-320.4(c)-0.1(anonical)-323.1(dieomorphism)-321.3(in)-321.7(eac)27.9(h)]TJ
T*
-0.0003 Tc
[(isotop)27.7(y)-528.6(c)-0.3(lass)-527.3(w)0.1(hic)27.7(h)-527.9(minimizes)-528.2(the)-527(top)-28.3(ological)-530.1(en)27.7(trop)27.7(y)]TJ
T*
-0.0002 Tc
[(and)-445.6(h)-0.2(as)-445.9(minimal)-447.8(orbit)-445.1(s)-0.5(tructure)-445.6(\()0.2(see)-445.6([)0.2(Handel)-446(85,)-446(Bo)28.2(y-)]TJ
T*
[(land)-347.1(99]\).)-484(A)-346(n)27.8(um)28.2(b)-28.2(e)-0.2(r)-347.5(o)0.2(f)-346(algorithms)-349.2(exist)-346.7(t)0.2(o)-345.8(c)-0.2(ompute)-348(t)0.2(he)]TJ
T*
[(forcing)-271.7(r)-0.6(elation)-272.1([Bestvina)-271.7(a)0.2(nd)-271.2(Handel)-271.7(95,)-271.7(F)82.5(r)-0.6(anks)-269.7(and)-271.2(M)-0.5(i-)]TJ
T*
[(siurewicz)-334.5(93,)-334(Los)-333.9(93].)]TJ
1.1997 -1.3 TD
[(A)-227.7(c)-0.2(onjecture)-227.9(i)0.2(n)-227.9([)0.2(de)-227.9(Carv)55.1(alho)-228.3(a)0.2(nd)-227.9(Hall)-228.3(02])-228.3(suggests)-228.2(t)0.2(hat)]TJ
-1.1997 -1.3 TD
[(the)-280.3(p)-28.2(erio)-27.8(dic)-279.4(o)0.2(rbits)-280.6(of)-280(the)-280.3(S)-0.2(male)-280.3(horsesho)-27.8(e)-279.4(map)-280.3(are)-279.4(p)-0.2(arti-)]TJ
T*
[(tioned)-272.1(in)27.8(to)-271.7(families)-272.5(t)0.2(hat)-271.7(t)0.2(he)-271.2(forcing)-270.8(r)-0.6(elation)-272.1(restricts)-271.5(t)0.2(o)-270.8(a)]TJ
T*
[(linear)-354.7(o)0.2(rder,)-358.4(a)0.2(nd)-354.3(that)-354.8(eac)27.8(h)-353.4(family)-355.9(has)-353.8(a)0.2(n)-354.4(a)0.2(sso)-27.8(ciated)-355.3(h)-0.2(o-)]TJ
T*
[(mo)-27.8(clinic)-264(orbit)-262.6(t)0.2(hat)-262.6(f)0(orces)-261.6(all)-263.5(p)-28.2(e)-0.2(rio)-27.8(d)-0.2(ic)-262.2(orbits)-262.5(of)-262(the)-263.1(f)0(amily)83.1(.)]TJ
T*
[(The)-330.9(f)0(orcing)-330.4(relation)-331.8(b)-28.2(e)-0.2(t)28.2(w)28.2(een)-330.9(families)-332.1(c)-0.2(an)-330.9(b)-28.2(e)-329(determined)]TJ
T*
-0.0001 Tc
[(from)-324.9(a)-324(k)0.1(no)28.3(wledge)-327.1(o)0.3(f)-325.1(t)0.3(he)-324.4(forcing)-324.9(r)-0.5(elation)-326.2(b)-28.1(e)-0.1(t)28.3(w)28.3(een)-326.2(the)-324.4(a)0.3(s-)]TJ
T*
[(so)-27.7(ciated)-255.8(h)-0.1(omo)-27.7(clinic)-256.7(orbits.)-418.8(I)-0.3(f)-253.7(t)0.3(he)-254.9(conjecture)-254.9(i)0.3(s)-255.2(t)0.3(rue,)-269.8(com-)]TJ
T*
-0.0002 Tc
[(puting)-381.9(t)0.2(he)-380.5(forcing)-381.9(r)-0.6(elation)-382.4(b)-28.2(e)-0.2(t)28.2(w)28.2(een)-381.5(homo)-27.8(clinic)-383.3(orbits)-381.8(is)]TJ
26.4002 63.6997 TD
[(an)-326.3(imp)-28.2(ortan)27.8(t)-328.6(p)-0.2(roblem)-326.8(in)-326.3(determining)-327.7(t)0.2(he)-327.2(complete)-328.1(forc-)]TJ
0 -1.3 TD
[(ing)-384.6(r)-0.6(elation.)-597.8(P)28.1(artial)-386.4(results)-383.6(on)-385.1(the)-384.2(c)-0.2(onjecture)-385.1(a)0.2(re)-384.2(giv)28(en)]TJ
T*
-0.0003 Tc
[(in)-333.7([de)-334.6(Carv)55(alho)-334.1(a)0.1(nd)-334.6(Hall)-334.1(04].)]TJ
1.1997 -1.3 TD
-0.0001 Tc
[(In)-376.8(this)-378.1(pap)-28.1(e)-0.1(r,)-388.1(w)28.3(e)-377.7(compute)-378.6(t)0.3(he)-377.7(braid)-377.7(equiv)55.2(alence)-378.6(and)]TJ
-1.1997 -1.3 TD
-0.0002 Tc
[(forcing)-259(r)-0.6(elations)-260.7(f)0(or)-259.9(homo)-27.8(clinic)-261.3(orbits)-259.8(of)-259.3(the)-259.5(S)-0.2(male)-259.5(horse-)]TJ
T*
[(sho)-27.8(e)-239.6(map)-240.5(using)-239.2(t)0.2(he)-240.5(trellis)-240.8(theory)-240.3(dev)28(elop)-28.2(ed)-240.5(in)-240.5([Collins)-242.6(02,)]TJ
T*
-0.0003 Tc
[(Collins)-399(04a].)-634.9(The)-396.9(b)-0.3(raid)-396.9(t)28.1(y)-0.1(p)-28.3(e)-397.8(of)-396.7(a)-396.5(h)-0.3(omo)-27.9(clinic)-398.7(orbit)-397.3(o)0.1(f)-397.6(a)]TJ
T*
-0.0001 Tc
[(saddle)-321.7()-0.1(xed)-321.7(p)-28.1(oin)27.9(t)-323.1(c)-0.1(an)-321.7(b)-28.1(e)-321.7(describ)-28.1(ed)-320.8(b)27.9(y)-322.4(the)]TJ
/F11 1 Tf
18.7254 0 TD
[(tr)51.2(el)-51.7(lis)]TJ
/F2 1 Tf
2.8438 0 TD
(formed)Tj
-21.5692 -1.3 TD
-0.0002 Tc
[(b)27.8(y)-412.8(nite)-414(pieces)-414.3(of)-412.8(the)-414(s)-0.5(table)-414(and)-414(unstable)-414(manifolds)-415.2(o)0.2(f)]TJ
T*
[(the)-471.8(s)-0.5(addle)-471.8()-0.2(xed)-471.8(p)-28.2(oin)27.8(t.)-860.7(The)-471.8(t)0.2(rellis)-473(can)-471.8(b)-28.2(e)-471.8(r)-0.6(epresen)27.8(ted)]TJ
T*
[(com)28.2(b)-0.2(inatorially)-533(b)27.8(y)-528.5(giving)-531(t)0.2(he)-528.7(relativ)28(e)-530.5(o)0.2(rdering)-529.1(o)0.2(f)-529.4(t)0.2(he)]TJ
T*
[(in)27.8(tersection)-404.9(p)-28.2(oin)27.8(ts)-405.2(along)-405.4(t)0.2(he)-404(stable)-404.9(and)-404(unstable)-404.9(mani-)]TJ
0 -1.3009 TD
-0.0001 Tc
[(folds.)-436.9(Since)-310.9(appro)28.3(x)0.1(imations)-313(t)0.3(o)-309.5(t)0.3(rellises)-311.2(can)-310(b)-28.1(e)-310(c)-0.1(omputed)]TJ
0 -1.3 TD
-0.0002 Tc
[(n)27.8(u)-0.2(merically)-387.5(for)-387.3(a)-386.4(giv)28(en)-386.9(dieomorphism,)-400.9(w)28.2(e)-386.9(c)-0.2(an,)-400(i)0.2(n)-386.9(t)0.2(he-)]TJ
T*
[(ory)83.1(,)-274.4(extract)-260.8(t)0.2(he)-260.4(com)28.2(b)-0.2(inatorics)-262.5(o)0.2(f)-261.1(a)-259.9(n)27.8(u)-0.2(merically)-262(computed)]TJ
T*
[(trellis)-492.9(to)-493(nd)-491.7(the)-492.6(b)-0.2(raid)-492.6(t)28.2(y)0(p)-28.2(e)-0.2(.)-921.2(T)0.2(he)-492.6(results)-492(of)-492.3(this)-493.8(pa-)]TJ
T*
-0.0001 Tc
[(p)-28.1(e)-0.1(r,)-328.5(ho)28.3(w)28.3(e)-0.1(v)28.1(e)-0.1(r,)-330.3(use)-327.1(a)-328.5(purely)-327.8(c)-0.1(om)28.3(binatorial)-331.2(construction)-329(of)]TJ
T*
-0.0002 Tc
[(the)-472.7(t)0.2(rellis)-473.9(from)-472.3(the)-472.7(s)-0.5(ym)28.2(b)-28.2(olic)-474.5(co)-27.8(ding)-473.1(of)-472.5(the)-472.7(h)-0.2(omo)-27.8(clinic)]TJ
T*
(orbit.)Tj
1.1997 -1.3 TD
[(The)-323.6(f)0(undamen)27.8(tal)-325.9(op)-28.2(eration)-324.5(on)-324.5(trellises)-323.9(is)]TJ
/F11 1 Tf
18.2674 0 TD
-0.0001 Tc
(pruning)Tj
/F2 1 Tf
3.3597 0 TD
0.3257 Tc
[(,r)325.3(e)325.7(-)]TJ
-22.8267 -1.3 TD
-0.0002 Tc
[(lated)-342.6(t)0.2(o)-341.2(t)0.2(he)-341.7(pruning)-341.2(isotopies)-342.9(o)0.2(f)-341.5([)0.2(de)-340.8(Carv)55.1(alho)-343.1(99].)-468.6(Ho)28.2(w-)]TJ
T*
-0.0001 Tc
[(ev)28.1(er,)-268(t)0.3(he)-252.2(pruning)-252.6(theory)-251.9(for)-252.5(t)0.3(rellises)-253.4(is)-252.5(m)28.3(u)-0.1(c)27.9(h)-253.1(simpler)-252.5(t)0.3(han)]TJ
T*
[(the)-280.2(g)0.3(eneral)-280.6(theory)-280.9(and)-281.1(h)-0.1(as)-280.5(a)-280.6(s)-0.4(traigh)27.9(tforw)28.3(a)0.3(rd)-282.9(form)28.3(ulation)]TJ
T*
-0.0002 Tc
[(in)-326.3(terms)-325.7(o)0.2(f)-327(t)0.2(he)-326.3(com)28.2(b)-0.2(inatorics)-328.5(o)0.2(f)-326.1(t)0.2(he)-326.3(trellis.)-443.3(W)82.6(e)-325.4(c)-0.2(ompute)]TJ
T*
[(the)-386.9(t)0.2(rellis)-388.1(asso)-27.8(ciated)-387.8(with)-388.7(a)-386.4(giv)28(en)-387.8(homo)-27.8(clinic)-389.6(horsesho)-27.8(e)]TJ
T*
-0.0001 Tc
[(orbit)-234.5(b)27.9(y)-234.8(p)-0.1(runing)-234.5(a)-234.6(t)0.3(rellis)-236.2(for)-235.4(t)0.3(he)-235(Smale)-235.9(horsesho)-27.7(e)-234.1(map)-235(rel-)]TJ
T*
-0.0002 Tc
[(ativ)28(e)-383.3(t)0.2(o)-381.9(t)0.2(he)-382.4(giv)28(en)-382.4(orbit.)-589.7(The)-382.4(b)-0.2(raid)-382.4(equiv)55.1(alence)-382.4(relation)]TJ
T*
[(is)-329.4(giv)28(en)-330(b)27.8(y)-329.7(comparing)-330.4(t)0.2(he)-329.1(com)28.2(b)-0.2(inatorics)-332.1(o)0.2(f)-328.8(t)0.2(he)-330(resulting)]TJ
T*
[(trellis,)-316.8(a)0.2(nd)-311.9(the)-312.8(f)0(orcing)-312.3(relation)-313.7(can)-311.9(b)-28.2(e)-311.9(giv)28(en)-312.8(b)27.8(y)-311.7(follo)28.2(wing)]TJ
T*
-0.0001 Tc
[(the)-320.8(other)-320.3(orbits)-321.1(through)-321.7(t)0.3(he)-319.9(pruning.)-440.5(B)0(y)-320.6(c)-0.1(omputing)-322.2(t)0.3(he)]TJ
/F11 1 Tf
T*
0 Tc
[(gr)51.3(aph)-366.1(r)51.3(e)0.2(pr)51.3(esentative)]TJ
/F2 1 Tf
9.154 0 TD
-0.0002 Tc
[(of)-344.2(the)-343.5(t)0.2(rellis,)-346.7(a)-343.1(lo)28.2(w)28.2(e)-0.2(r)-345.7(b)-28.2(ound)-343.5(for)-343.9(t)0.2(he)]TJ
-9.154 -1.3 TD
[(top)-28.2(ological)-268.1(en)27.8(trop)27.8(y)-266.5(f)0(orced)-264.9(b)27.8(y)-265.6(the)-264.9(h)-0.2(omo)-27.8(clinic)-267.6(orbit)-266.3(c)-0.2(an)-264.9(b)-28.2(e)]TJ
T*
-0.0001 Tc
(found.)Tj
1.1997 -1.3009 TD
[(A)-494.1(n)27.9(um)28.3(b)-28.1(e)-0.1(r)-494.7(o)0.3(f)-494.9(other)-494.6(authors)-495.5(h)-0.1(a)28.3(v)28.1(e)-495.2(c)-0.1(onsidered)-494.3(forcing)]TJ
-1.1997 -1.3 TD
-0.0002 Tc
[(relations)-408.9(f)0(or)-408.9(homo)-27.8(clinic)-409.5(orbits)-408.9(and)-407.6(tangles.)-668.3(F)82.5(o)0.2(rcing)-407.2(r)-0.6(e-)]TJ
T*
[(lations)-389.9(a)0.2(nd)-387.8(en)27.8(trop)27.8(y)-388.5(b)-28.2(ounds)-388.1(for)-388.2(s)-0.5(ome)-388.7(innite)-388.7(families)-389.9(o)0.2(f)]TJ
T*
[(trellises)-280.6(are)-280.3(giv)28(en)-282.1(in)-280.3([Rom-Kedar)-281.6(94].)-428(The)-280.3(p)-28.2(ossible)-281.2(b)-0.2(ifur-)]TJ
T*
-0.0001 Tc
[(cation)-384.1(sequences)-382.6(asso)-27.7(ciated)-384.1(with)-384.1(the)-383.2(b)-0.1(reak-up)-382.3(of)-382.9(horse-)]TJ
T*
-0.0002 Tc
[(sho)-27.8(e)-0.2(s)-333(i)0.2(n)-334.5(a)-333.1(driv)28(en)-334.5(oscillator)-335.8(using)-334(m)0.2(etho)-27.8(ds)-333.9(similar)-335.8(to)-334(our)]TJ
T*
-0.0001 Tc
[(prunings)-385.3(a)0.3(re)-384.1(discussed)-384.1(i)0.3(n)-385([)0.3(McRobie)-385.9(a)0.3(nd)-385(Thompson)-385.9(94].)]TJ
T*
-0.0002 Tc
[(Metho)-27.8(d)-0.2(s)-379(f)0(or)-379.1(the)-378.7(c)-0.2(omputation)-382.4(of)-378.5(the)-379.6(f)0(orcing)-379.2(relation)-380.6(for)]TJ
T*
[(homo)-27.8(clinic)-507(orbits)-505.5(ha)28.2(v)28(e)-506.1(b)-28.2(een)-504.3(giv)28(en)-506.1(in)-505.2([Handel)-505.7(99])-505.7(and)]TJ
T*
[([Hulme)-460(00].)-821.8(The)-459.1(m)0.2(etho)-27.8(ds)-460.4(outlined)-460(in)-459.1(this)-459.4(pap)-28.2(e)-0.2(r)-459.5(h)-0.2(a)28.2(v)28(e)]TJ
T*
[(the)-295.6(a)0.2(dv)55.1(an)27.8(tage)-297.4(of)-295.4(b)-28.2(e)-0.2(ing)-296.1(a)0.2(pplicable)-297.4(to)-295.2(general)-296.1(trellises)-296.8(and)]TJ
T*
[(homo)-27.8(clinic/hetero)-27.8(c)-0.2(linic)-273(orbits,)-283.4(a)0.2(nd)-269.4(the)-269.4(c)-0.2(omputations)-272.5(a)0.2(re)]TJ
T*
-0.0001 Tc
[(straigh)27.9(tforw)28.3(a)0.3(rd)-397.6(to)-396.3(implemen)27.9(t)0.3(.)-632.9(F)82.6(urther,)-409.8(w)28.3(e)-395.8(b)-28.1(eliev)28.1(e)-396.7(that)]TJ
T*
-0.0002 Tc
[(this)-372.7(is)-373.6(the)-372.4()-0.2(rst)-372(p)-0.2(ap)-28.2(er)-371.9(that)-373.8(presen)27.8(ts)-371.8(n)27.8(u)-0.2(merical)-373.8(c)-0.2(omputa-)]TJ
T*
[(tions)-334.8(o)0.2(f)-334.2(f)0(orcing)-334(relations)-334.8(b)-28.2(et)28.2(w)28.2(een)-334.5(homo)-27.8(clinic)-336.3(orbits.)]TJ
1.1997 -1.3 TD
[(The)-306.5(p)-0.2(ap)-28.2(er)-305(is)-305.9(organized)-307.4(as)-305.9(follo)28.2(ws.)-437.9(I)-0.4(n)-304.7(Section)-307.4(2)-305.1(w)28.2(e)-306.5(de-)]TJ
-1.1997 -1.3 TD
[(scrib)-28.2(e)-399.5(the)-400.4(c)-0.2(om)28.2(binatorics)-403.4(o)0.2(f)-400.2(p)-28.2(erio)-27.8(dic)-400.4(a)0.2(nd)-401.3(homo)-27.8(clinic)-402.2(or-)]TJ
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/F4 1 Tf
8.9664 0 0 8.9664 251.082 743.6641 Tm
0 0 0 1 k
/GS1 gs
0.0001 Tc
0 Tw
[(Collins:)-344.2(F)45.4(o)0(r)11.9(c)0.2(ing)-277.8(R)-0.2(elations)-277.4(for)-278.2(H)0.2(omoclinic)-276.8(Orbits)-277.4(of)-278(the)-277.8(S)0.2(male)-277.8(Horseshoe)-276.8(Map)]TJ
/F3 1 Tf
34.5776 0 TD
(77)Tj
/F2 1 Tf
9.9626 0 0 9.9626 63 714.774 Tm
-0.0002 Tc
[(bits)-267(of)-266.5(the)-266.7(S)-0.2(male)-267.6(horsesho)-27.8(e)-265.8(map,)-280.7(a)0.2(nd)-266.7(in)27.8(tro)-27.8(duce)-267.6(the)-266.7(b)-0.2(raid)]TJ
0 -1.3 TD
[(t)28.2(y)0(p)-28.2(e)-262.2(of)-262(a)-261.8(h)-0.2(omo)-27.8(clinic)-264.9(orbit.)-421.6(In)-261.3(Section)-263.1(3,)-276.2(w)28.2(e)-262.2(in)27.8(tro)-27.8(duce)-263.1(the)]TJ
T*
-0.0001 Tc
[(results)-397.9(of)-399.2(trellis)-399.7(theory)-398.3(whic)27.9(h)-399.4(a)0.3(re)-398.5(necessary)-397.4(for)-398.9(t)0.3(he)-398.5(cal-)]TJ
T*
[(culations.)-492(In)-347.9(Section)-350.6(4,)-352(w)28.3(e)-349.7(describ)-28.1(e)-347.9(t)0.3(he)-348.8(algorithms)-351.8(used)]TJ
T*
-0.0002 Tc
[(to)-437.9(compute)-438.4(t)0.2(he)-437.5(braid)-437.5(equiv)55.1(alence)-438.4(and)-437.5(f)0(orcing)-437.9(relations)]TJ
T*
-0.0001 Tc
[(and)-499.7(d)-0.1(iscuss)-499.1(t)0.3(he)-499.7(implemen)27.9(tation)-503.3(of)-499.5(the)-499.7(p)-0.1(runing)-499.2(pro)-27.7(ce-)]TJ
T*
[(dure.)-663.6(In)-405.7(Section)-408.5(5,)-425.1(w)28.3(e)-406.6(presen)27.9(t)-406.2(t)0.3(he)-406.6(results)-407(of)-407.3(n)27.9(u)-0.1(merical)]TJ
T*
-0.0002 Tc
[(computations)-296.8(o)0.2(f)-293.6(t)0.2(he)-293.8(equiv)55.1(alence)-294.7(and)-293.8(f)0(orcing)-294.3(relations)-295(f)0(or)]TJ
T*
[(homo)-27.8(clinic)-292.9(orbits)-290.5(of)-290.9(the)-290.2(S)-0.2(male)-291.1(horsesho)-27.8(e)-290.2(map)-291.1(with)-291.1(short)]TJ
T*
[(sym)28.2(b)-28.2(olic)-335.4(co)-27.8(dings.)-446(Finally)83.1(,)-335.8(w)28.2(e)-334.5(giv)28(e)-334.5(s)-0.5(ome)-334.5(conclusions)-335.7(a)0.2(nd)]TJ
T*
[(op)-28.2(en)-333.6(problems)-334.8(in)-333.6(Section)-335.4(6)]TJ
1.1997 -1.3 TD
-0.0001 Tc
[(The)-308.2(c)-0.1(omputations)-310.3(i)0.3(n)-307.3(t)0.3(his)-308.5(p)-0.1(ap)-28.1(er)-306.7(w)28.3(e)-0.1(re)-308.2(p)-28.1(e)-0.1(rformed)-307.3(u)-0.1(sing)]TJ
-1.1997 -1.3009 TD
-0.0002 Tc
[(the)-441.1(C)0.2(++)-441.1(pac)27.8(k)55.1(age)]TJ
/F12 1 Tf
8.3771 0 TD
-0.0001 Tc
(tangle)Tj
/F2 1 Tf
3.1492 0 TD
-0.0002 Tc
[(,)-467.7(w)0.2(hic)27.8(h)-442(is)-441.4(freely)-440.8(a)28.2(v)55.1(ailable)-442.9(for)]TJ
-11.5263 -1.3 TD
-0.0003 Tc
[(do)28.1(wnload)-443.9([Collins)-443.3(04b].)-769.5(This)-441.5(pac)27.7(k)55(age)-443(allo)28.1(ws)-443.3(computa-)]TJ
T*
-0.0002 Tc
[(tions)-396.2(o)0.2(n)-395(c)-0.2(om)28.2(binatorial)-398.2(trellises,)-410.8(i)0.2(ncluding)-396.4(the)-395(c)-0.2(omputa-)]TJ
T*
[(tion)-308.3(of)-308(the)-307.4(t)0.2(rellis)-308.6(asso)-27.8(ciated)-308.3(with)-308.3(a)-306.9(h)-0.2(orsesho)-27.8(e)-307.4(homo)-27.8(clinic)]TJ
T*
[(orbit,)-289.7(and)-279.4(t)0.2(he)-278.5(computation)-281.2(of)-278.2(the)]TJ
/F11 1 Tf
14.7649 0 TD
0 Tc
[(gr)51.3(aph)-307.4(r)51.3(e)0.2(pr)51.3(esentative)]TJ
/F2 1 Tf
9.0293 0 TD
-0.0004 Tc
(of)Tj
-23.7943 -1.3 TD
-0.0001 Tc
[(the)-333.5(t)0.3(rellis.)]TJ
/F3 1 Tf
0 -4.4401 TD
-0.0002 Tc
[(2.)-1201(HORSESHOE)-279.8(ORBITS)]TJ
/F2 1 Tf
0 -1.9007 TD
-0.0001 Tc
[(In)-372.3(this)-374.4(pap)-28.1(e)-0.1(r,)-382.7(w)28.3(e)-373.2(use)-373.2(t)0.3(he)-373.2(mo)-27.7(del)-373.7(of)-373(the)-374.1(S)-0.1(male)-374.1(horsesho)-27.7(e)]TJ
0 -1.3 TD
-0.0004 Tc
(map)Tj
/F9 1 Tf
2.3398 0 TD
0 Tc
(f)Tj
/F2 1 Tf
0.7083 0 TD
(:)Tj
/F9 1 Tf
0.6504 0 TD
(S)Tj
/F6 1 Tf
6.9738 0 0 6.9738 106.533 422.0941 Tm
(2)Tj
/F13 1 Tf
9.9626 0 0 9.9626 115.722 418.476 Tm
()Tj
/F9 1 Tf
1.4743 0 TD
(S)Tj
/F6 1 Tf
6.9738 0 0 6.9738 137.097 422.0941 Tm
(2)Tj
/F2 1 Tf
9.9626 0 0 9.9626 146.052 418.476 Tm
-0.0002 Tc
[(depicted)-452.8(in)-451(Figure)-451.9(1.)-798.3(The)-451.9(s)-0.5(tadium-)]TJ
-8.3363 -1.3 TD
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[(shap)-28.1(ed)-434.7(domain)-436.5(sho)28.3(w)0.3(n,)-460.4(consisting)-435.1(o)0.3(f)-435.3(t)28.3(w)28.3(o)-436(half-discs)-435.9(a)0.3(nd)]TJ
T*
0.5859 Tc
[(as)585.6(q)586.1(u)585.9(a)586.3(r)585.5(e)]TJ
/F9 1 Tf
4.4862 0 TD
0 Tc
(R)Tj
/F2 1 Tf
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-0.0002 Tc
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T*
-0.0003 Tc
[(a)-311.5(s)-0.6(table)-312.9(xed)-312(p)-28.3(oin)27.7(t)]TJ
/F9 1 Tf
8.668 0 TD
0 Tc
(a)Tj
/F2 1 Tf
0.8401 0 TD
-0.0002 Tc
[(in)-311.9(the)-312.8(l)0.2(eft)-312.3(hemisphere.)-437(The)-311.9(map)-312.8(is)]TJ
-9.5081 -1.3 TD
-0.0001 Tc
[(then)-228.7(extended)-228.7(to)-228.2(a)-228.2(h)-0.1(omeomorphism)-230(of)]TJ
/F9 1 Tf
16.5997 0 TD
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(S)Tj
/F6 1 Tf
6.9738 0 0 6.9738 235.062 357.3391 Tm
(2)Tj
/F2 1 Tf
9.9626 0 0 9.9626 241.794 353.721 Tm
-0.0003 Tc
[(with)-229.8(a)-228.4(r)-0.7(ep)-28.3(elling)]TJ
-17.9465 -1.3 TD
-0.0002 Tc
[(xed)-278.5(p)-28.2(oin)27.8(t)-278.9(a)0.2(t)]TJ
/F13 1 Tf
6.0834 0 TD
0 Tc
()Tj
/F2 1 Tf
1.2774 0 TD
-0.0002 Tc
[(whose)-278.5(b)-0.2(asin)-279.4(includes)-278.8(the)-277.6(c)-0.2(omplemen)27.8(t)-279.8(of)]TJ
-7.3608 -1.3 TD
[(the)-354.3(s)-0.5(tadium)-353.9(d)-0.2(omain.)-506.6(T)0.2(he)-354.3(saddle)-353.4()-0.2(xed)-353.4(p)-28.2(oin)27.8(t)-354.8(o)0.2(f)-354.1(negativ)28(e)]TJ
T*
[(index)-334.2(\(i.e.,)-334.9(p)-28.2(o)0.2(sitiv)28(e)-335.4(e)-0.2(igen)27.8(v)55.1(alues\))-334.9(i)0.2(s)-333.9(denoted)]TJ
/F9 1 Tf
19.0172 0 TD
0 Tc
(p)Tj
/F2 1 Tf
0.5032 0 TD
(.)Tj
-18.3207 -1.3 TD
-0.0001 Tc
[(The)-250.4(n)-0.1(on)27.9(w)28.3(a)0.3(ndering)-250.8(s)-0.4(et)-249(\()]TJ
/F9 1 Tf
10.8668 0 TD
0 Tc
(f)Tj
/F2 1 Tf
0.5971 0 TD
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[(\))-250.9(c)-0.2(onsists)-249.9(o)0.2(f)-250.2(t)0.2(he)-249.6(xed)-249.6(p)-28.2(oin)27.8(ts)]TJ
/F9 1 Tf
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0 Tc
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/F2 1 Tf
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(and)Tj
/F13 1 Tf
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/F2 1 Tf
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[(,)-333.2(together)-335(with)-335.5(a)-333.2(Can)27.7(tor)-335.9(set)]TJ
-0.3108 -2.4373 TD
0.2776 Tc
(=)Tj
/F13 1 Tf
2.0281 0 TD
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/F9 1 Tf
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/F13 1 Tf
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()Tj
/F9 1 Tf
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(S)Tj
/F6 1 Tf
6.9738 0 0 6.9738 147.573 268.806 Tm
(2)Tj
/F2 1 Tf
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(:)Tj
/F9 1 Tf
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(f)Tj
/F10 1 Tf
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(n)Tj
/F2 1 Tf
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/F9 1 Tf
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/F2 1 Tf
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[(for)-334.1(all)]TJ
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/F14 1 Tf
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/F9 1 Tf
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(1)Tj
/F2 1 Tf
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[(,)-331.3(s)-0.5(ym)28.2(b)-28.2(olic)-331.8(dynamics)-332.1(c)-0.2(an)-331.8(b)-28.2(e)-330.9(in)27.8(tro)-27.8(duced)-330.9(in)-331.8(the)]TJ
ET
/EmbeddedDocument /MC1 BDC
/EmbeddedDocument /MC2 BDC
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237.869 162.54 m
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q
88.091 103.316 194.31 99.69 re
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132.502 143.383 m
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194.764 200.856 m
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233.079 200.856 m
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142.081 124.225 m
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126.206 128.211 126.921 127.496 126.921 126.615 c
b*
EMC
BT
/F15 1 Tf
12.1201 0 0 12.1201 221.3038 107.473 Tm
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(R)Tj
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(0)Tj
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(R)Tj
/F5 1 Tf
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(1)Tj
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10.1001 0 0 10.1001 122.7631 119.4357 Tm
(a)Tj
1.9071 -0.4718 TD
(p)Tj
ET
EMC
BT
/F3 1 Tf
8.9664 0 0 8.9664 110.367 80.904 Tm
0 0 0 1 k
[(FIGURE)-277.9(1)]TJ
/F16 1 Tf
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/F2 1 Tf
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/F11 1 Tf
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(2)Tj
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(=)Tj
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(Z)Tj
/F9 1 Tf
9.9626 0 0 9.9626 491.949 696.099 Tm
(,)Tj
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[(with)-474.4(the)-473.5(p)-0.1(rop)-28.1(e)-0.1(rt)28.3(y)-474.2(t)0.3(hat)]TJ
/F9 1 Tf
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()Tj
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[(\)\))-475.1(for)-474.2(all)]TJ
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()Tj
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()Tj
/F2 1 Tf
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(2)Tj
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-23.7941 -1.3 TD
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1.1997 -1.3 TD
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(if)Tj
-24.0164 -1.3 TD
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[(and)-449.2(o)0.2(nly)-449.9(i)0.2(f)]TJ
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[(p)-28.4(oin)27.6(t)-450.8(o)0(f)]TJ
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[(.)-791.2(T)0.1(his)-450.5(p)-0.3(ap)-28.3(er)-449.7(is)]TJ
-17.5356 -1.3 TD
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[(concerned)-363.4(with)-364.3(orbits)-364.6(that)-364.7(are)-363.4(h)-0.2(omo)-27.8(clinic)-366.1(to)]TJ
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[(,)-370.9(a)0.3(nd)-364.2(the)]TJ
-20.5882 -1.3 TD
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(term)Tj
/F11 1 Tf
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[(homo)51.2(c)0.1(linic)-434.4(orbit)]TJ
/F2 1 Tf
7.6255 0 TD
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[(will)-416.2(b)-28.2(e)-414.9(used)-414.9(exclusiv)28(ely)-416.5(t)0.2(o)-415.3(m)0.2(ean)]TJ
-10.098 -1.3 TD
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[(suc)27.9(h)-393.1(orbits.)-626.6(A)-393.8(p)-28.1(oin)27.9(t)]TJ
/F9 1 Tf
9.5424 0 TD
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(x)Tj
/F13 1 Tf
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()Tj
/F2 1 Tf
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[(details\),)-324(but)-318.6(here)-318.1(t)0.3(he)-319.9(k)28.1(e)-0.1(y)-318.8(denitions)-321.1(a)0.3(nd)-319(results)-319.3(are)-319(p)-0.1(re-)]TJ
T*
[(sen)27.9(t)0.3(ed)-465.4(in)-464.5(a)-464.9(manner)-464.8(tailored)-467.2(to)-464.9(the)-464.5(s)-0.4(tudy)-465.1(of)-465.1(horsesho)-27.7(e)]TJ
T*
-0.0002 Tc
[(trellises.)-426.2(A)0(ll)-278(results)-277(stated)-278.5(i)0.2(n)-276.7(t)0.2(his)-277.9(s)-0.5(ection)-278.5(can)-277.6(b)-28.2(e)-276.7(f)0(ound)-277.6(in)]TJ
T*
-0.0004 Tc
[([Collins)-336.8(04a].)]TJ
1.1997 -1.3009 TD
0 Tc
(A)Tj
/F11 1 Tf
1.0868 0 TD
-0.0001 Tc
[(tr)51.2(el)-51.7(lis)]TJ
/F2 1 Tf
2.8583 0 TD
-0.0003 Tc
[(is)-336.7(a)-336.8(nite)-337.3(p)-28.3(o)0.1(rtion)-337.3(of)-337(the)-336.4(tangle)-338.2(of)-337(stable)-337.3(and)]TJ
-5.1448 -1.3 TD
-0.0002 Tc
[(unstable)-303.8(manifolds)-305(o)0.2(f)-303.5(a)-303.3(saddle)-302.9()-0.2(xed)-302.9(p)-28.2(oin)27.8(t.)-436.1(Starting)-304.2(with)]TJ
T*
[(the)-404.9(f)0(amiliar)-408(tangle)-405.8(of)-405.6(the)-404.9(f)0(ull)-405.4(h)-0.2(orsesho)-27.8(e)-0.2(,)-421.6(t)0.2(he)-405.8(full)-405.4(horse-)]TJ
T*
-0.0001 Tc
[(sho)-27.7(e)-308.2(trellis)-310.3(of)-308.8(signature)]TJ
/F9 1 Tf
10.4224 0 TD
0 Tc
(n)Tj
/F2 1 Tf
0.9088 0 TD
-0.0001 Tc
[(can)-308.2(b)-28.1(e)-308.2(dened)-309.1(for)-308.6(e)-0.1(ac)27.9(h)-309.1(i)0.3(n)27.9(t)0.3(eger)]TJ
/F9 1 Tf
-11.3312 -1.3 TD
0 Tc
(n)Tj
/F13 1 Tf
0.9829 0 TD
()Tj
/F2 1 Tf
1.1599 0 TD
-0.0002 Tc
[(2:)-571.6(it)-396.3(has)-397.1(longer)-397.2(s)-0.5(table)-397.7(and)-396.8(unstable)-397.7(branc)27.8(hes)-396.2(as)]TJ
/F9 1 Tf
21.8574 0 TD
0 Tc
(n)Tj
/F2 1 Tf
-24.0002 -1.3 TD
-0.0001 Tc
[(increases.)-726(Giv)28.1(e)-0.1(n)-427.4(a)-427.9(horsesho)-27.7(e)-426.5(h)-0.1(omo)-27.7(clinic)-429.2(orbit,)-452.3(the)-427.4(f)0.1(ull)]TJ
T*
[(horsesho)-27.7(e)-329(t)0.3(rellis)-331.1(of)-330.5(appropriate)-330.8(signature)-330.8(can)-329.9(b)-28.1(e)]TJ
/F11 1 Tf
21.3705 0 TD
[(prune)51.6(d)]TJ
/F2 1 Tf
2.9514 0 TD
0 Tc
(,)Tj
-24.3219 -1.3 TD
-0.0002 Tc
[(b)27.8(y)-445.4(remo)28.2(ving)-446.9(as)-445.9(man)27.8(y)-446.3(i)0.2(n)27.8(t)0.2(ersections)-447.7(a)0.2(s)-445.9(p)-28.2(ossible)-445.6(without)]TJ
T*
[(disturbing)-345.8(the)-345.3(giv)28(en)-347.1(homo)-27.8(clinic)-347.1(orbit.)-481.3(This)-345.6(pruned)-345.3(trel-)]TJ
T*
-0.0003 Tc
[(lis)-349.3(is)-349.3(a)-348.6(c)-0.3(omplete)-350.8(in)27.7(v)55(a)0.1(rian)27.7(t)-349.5(o)0.1(f)-349.7(h)-0.3(omo)-27.9(clinic)-350.8(braid)-349(t)28.1(y)-0.1(p)-28.3(e)-0.3(,)-353.1(a)0.1(nd)]TJ
T*
-0.0001 Tc
[(so)-260.7(the)-261.2(t)0.3(ec)27.9(hnique)-262.1(c)-0.1(an)-261.2(b)-28.1(e)-261.2(used)-260.3(to)-261.7(determine)-261.2(w)0.3(hether)-262.5(or)-260.7(not)]TJ
T*
-0.0002 Tc
[(t)28.2(w)28.2(o)-334.9(giv)28(en)-334.5(homo)-27.8(clinic)-336.3(orbits)-334.8(ha)28.2(v)28(e)-334.5(the)-333.6(s)-0.5(ame)-334.5(braid)-333.6(t)28.2(y)0(p)-28.2(e)-0.2(.)]TJ
1.1997 -1.3 TD
[(Giv)28(e)-0.2(n)-308.3(a)-307.8(trellis)-308.6(\(and)-308.3(t)0.2(he)-308.3(action)-309.2(of)-307.1(a)-307.8(d)-0.2(ieomorphism)-308.7(on)]TJ
-1.1997 -1.3 TD
[(it\),)-304.2(there)-294.7(i)0.2(s)-295(a)-295.2(lo)28.2(w)28.2(e)-0.2(r)-296.9(b)-28.2(ound)-294.7(on)-295.6(the)-295.6(d)-0.2(ynamics)-295.9(o)0.2(f)-295.4(a)0.2(n)27.8(y)-296.3(dieo-)]TJ
T*
[(morphism)-282.5(that)-282.5(has)-282.4(s)-0.5(uc)27.8(h)-282.1(a)-282.5(trellis.)-428(T)0.2(hese)-282.1(minimal)-284.3(dynam-)]TJ
T*
[(ics)-261.6(c)-0.2(an)-260.4(b)-28.2(e)-261.3(computed)-261.3(as)-261.6(the)-261.3(d)-0.2(ynamics)-261.6(o)0.2(f)-261.1(a)-260.8(tree)-261.3(map,)-276.2(u)-0.2(sing)]TJ
T*
[(tec)27.8(hniques)-242.6(similar)-242.7(to)-241(those)-242.3(dev)28(elop)-28.2(ed)-241.4(for)-241.8(c)-0.2(omputing)-242.8(t)0.2(rain)]TJ
T*
[(trac)27.8(ks)-230(for)-229.2(p)-28.2(erio)-27.8(dic)-229.7(o)0.2(rbits)-230(b)27.8(y)-228.6([Bestvina)-230.1(a)0.2(nd)-229.7(Handel)-229.2(95])-230.1(and)]TJ
T*
-0.0001 Tc
[([F)82.6(ranks)-333.8(a)0.3(nd)-333.5(Misiurewicz)-334.4(93].)]TJ
1.1997 -1.3 TD
[(The)-316.3(d)-0.1(ynamics)-317.5(f)0.1(orced)-316.3(b)27.9(y)-316.1(a)-316.8(giv)28.1(en)-317.2(horsesho)-27.7(e)-315.4(h)-0.1(omo)-27.7(clinic)]TJ
-1.1997 -1.3 TD
[(orbit)-337.5(c)-0.1(an)-337.1(th)27.9(us)-337.4(b)-28.1(e)-337.1(determined)-338(b)27.9(y)-336.9(nding)-337.5(the)-337.1(a)0.3(ppropriate)]TJ
0 -1.3009 TD
[(pruned)-405.7(horsesho)-27.7(e)-404.8(t)0.3(rellis,)-425.2(a)0.3(nd)-406.6(calculating)-408(t)0.3(he)-406.6(asso)-27.7(ciated)]TJ
0 -1.3 TD
[(tree)-488.8(map.)-912.1(I)-0.3(n)-488.9(t)0.3(his)-490.1(p)-0.1(ap)-28.1(er,)-527.2(w)28.3(e)-489.8(a)0.3(re)-488.8(only)-490.4(concerned)-488.9(with)]TJ
T*
-0.0002 Tc
[(forcing)-334(r)-0.6(elations)-335.7(b)-28.2(et)28.2(w)28.2(een)-334.5(homo)-27.8(clinic)-335.4(orbits.)]TJ
/F3 1 Tf
0 -4.6994 TD
-0.0001 Tc
[(3.1)-1200.3(T)37.4(he)-278.8(Full)-278.6(H)0.1(orseshoe)-279.7(T)74.4(r)11.3(ellis)]TJ
0 -2.5999 TD
0 Tc
[(Denition)-359.1(3)0.4(.1.)-587.4(\()-0.3(T)74.5(r)11.4(ellis.\))]TJ
/F2 1 Tf
11.8569 0 TD
0.0001 Tc
(Let)Tj
/F9 1 Tf
1.8718 0 TD
0 Tc
(f)Tj
/F2 1 Tf
0.7083 0 TD
(:)Tj
/F9 1 Tf
0.6378 0 TD
(S)Tj
/F6 1 Tf
6.9738 0 0 6.9738 197.775 238.188 Tm
(2)Tj
/F13 1 Tf
9.9626 0 0 9.9626 206.343 234.579 Tm
()Tj
/F9 1 Tf
1.412 0 TD
(S)Tj
/F6 1 Tf
6.9738 0 0 6.9738 227.097 238.188 Tm
(2)Tj
/F2 1 Tf
9.9626 0 0 9.9626 235.683 234.579 Tm
-0.0001 Tc
[(b)-28.1(e)-413(a)-414.3(d)-0.1(ieo-)]TJ
-19.5508 -1.3 TD
[(morphism,)-307.7(a)0.3(nd)]TJ
/F9 1 Tf
6.8377 0 TD
0 Tc
(p)Tj
/F2 1 Tf
0.804 0 TD
-0.0002 Tc
[(b)-28.2(e)-300.1(a)-300.6(h)27.8(yp)-28.2(erb)-28.2(olic)-301.9(saddle)-301()-0.2(xed)-300.1(p)-28.2(oin)27.8(t)-301.5(o)0.2(f)]TJ
/F9 1 Tf
16.0839 0 TD
0 Tc
(f)Tj
/F2 1 Tf
0.5971 0 TD
(.)Tj
-24.3227 -1.3009 TD
-0.0001 Tc
[(Then)-331.7(a)]TJ
/F11 1 Tf
3.4392 0 TD
0 Tc
[(tr)51.3(el)-51.6(lis)-355.4(f)0.4(or)]TJ
/F9 1 Tf
4.3914 0 TD
(f)Tj
/F2 1 Tf
0.9278 0 TD
(\()Tj
/F11 1 Tf
0.3885 0 TD
0.0002 Tc
(at)Tj
/F9 1 Tf
1.1988 0 TD
0 Tc
(p)Tj
/F2 1 Tf
0.5032 0 TD
-0.0003 Tc
[(\))-331.4(i)0.1(s)-331.3(a)-331.4(pair)]TJ
/F9 1 Tf
4.61 0 TD
0 Tc
(T)Tj
/F2 1 Tf
1.0009 0 TD
0.2774 Tc
(=\()Tj
/F9 1 Tf
1.4436 0 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 226.476 212.286 Tm
(U)Tj
/F9 1 Tf
9.9626 0 0 9.9626 233.154 208.6681 Tm
0.1658 Tc
(,T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 244.782 212.286 Tm
0 Tc
(S)Tj
/F2 1 Tf
9.9626 0 0 9.9626 250.56 208.6681 Tm
-0.0001 Tc
[(\),)-331.2(where)]TJ
/F9 1 Tf
-21.0441 -1.3 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 48.114 199.3351 Tm
(U)Tj
/F2 1 Tf
9.9626 0 0 9.9626 58.464 195.717 Tm
-0.0002 Tc
(and)Tj
/F9 1 Tf
1.9793 0 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 85.392 199.3351 Tm
(S)Tj
/F2 1 Tf
9.9626 0 0 9.9626 94.842 195.717 Tm
-0.0002 Tc
[(are)-368.8(i)0.2(n)27.8(t)0.2(erv)55.1(als)-370.9(in)]TJ
/F9 1 Tf
6.9515 0 TD
0 Tc
(W)Tj
/F10 1 Tf
6.9738 0 0 6.9738 174.888 199.3351 Tm
(U)Tj
/F2 1 Tf
9.9626 0 0 9.9626 181.557 195.717 Tm
(\()Tj
/F9 1 Tf
0.3885 0 TD
(f)Tj
/F2 1 Tf
0.5971 0 TD
(;)Tj
/F9 1 Tf
0.4436 0 TD
(p)Tj
/F2 1 Tf
0.5032 0 TD
0.3709 Tc
[(\)a)371.3(n)370.9(d)]TJ
/F9 1 Tf
2.7391 0 TD
0 Tc
(W)Tj
/F10 1 Tf
6.9738 0 0 6.9738 238.887 199.3351 Tm
(S)Tj
/F2 1 Tf
9.9626 0 0 9.9626 244.665 195.717 Tm
(\()Tj
/F9 1 Tf
0.3885 0 TD
(f)Tj
/F2 1 Tf
0.5971 0 TD
(;)Tj
/F9 1 Tf
0.4436 0 TD
(p)Tj
/F2 1 Tf
0.5032 0 TD
-0.0001 Tc
[(\),)-380(re-)]TJ
-22.3848 -1.3 TD
-0.0002 Tc
[(sp)-28.2(ectiv)28(ely)83.1(,)-383.7(con)27.8(taining)]TJ
/F9 1 Tf
9.7602 0 TD
0 Tc
(p)Tj
/F2 1 Tf
0.5032 0 TD
0.5624 Tc
[(.\()562.8(H)562.6(e)562.4(r)562(e)562.4(,)]TJ
/F9 1 Tf
3.9198 0 TD
0 Tc
(W)Tj
/F10 1 Tf
6.9738 0 0 6.9738 192.996 186.384 Tm
(U)Tj
/F2 1 Tf
9.9626 0 0 9.9626 199.674 182.766 Tm
(\()Tj
/F9 1 Tf
0.3885 0 TD
(f)Tj
/F2 1 Tf
0.5971 0 TD
(;)Tj
/F9 1 Tf
0.4436 0 TD
(p)Tj
/F2 1 Tf
0.5032 0 TD
0.3736 Tc
[(\)a)374(n)373.6(d)]TJ
/F9 1 Tf
2.7463 0 TD
0 Tc
(W)Tj
/F10 1 Tf
6.9738 0 0 6.9738 257.076 186.384 Tm
(S)Tj
/F2 1 Tf
9.9626 0 0 9.9626 262.845 182.766 Tm
(\()Tj
/F9 1 Tf
0.3885 0 TD
(f)Tj
/F2 1 Tf
0.5971 0 TD
(;)Tj
/F9 1 Tf
0.4436 0 TD
(p)Tj
/F2 1 Tf
0.5032 0 TD
(\))Tj
-24.2096 -1.3 TD
-0.0002 Tc
[(denote)-265.8(the)-264.9(unstable)-266.7(and)-264.9(s)-0.5(table)-265.8(manifolds,)-280.7(resp)-28.2(ectiv)28(ely)83.1(,)-279.8(of)]TJ
/F9 1 Tf
T*
0 Tc
(f)Tj
/F2 1 Tf
0.9287 0 TD
-0.0004 Tc
(at)Tj
/F9 1 Tf
1.2196 0 TD
0 Tc
(p)Tj
/F2 1 Tf
0.5032 0 TD
-0.0002 Tc
[(.\))-445.1(Giv)28(e)-0.2(n)-331.8(a)-331.3(trellis)]TJ
/F9 1 Tf
7.6201 0 TD
0 Tc
(T)Tj
/F2 1 Tf
1.0009 0 TD
0.2774 Tc
(=\()Tj
/F9 1 Tf
1.4436 0 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 174.798 160.482 Tm
(U)Tj
/F9 1 Tf
9.9626 0 0 9.9626 181.476 156.864 Tm
0.1658 Tc
(,T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 193.104 160.482 Tm
0 Tc
(S)Tj
/F2 1 Tf
9.9626 0 0 9.9626 198.882 156.864 Tm
-0.0003 Tc
[(\),)-332.3(denote)-332.8(b)27.7(y)]TJ
/F9 1 Tf
5.6055 0 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 261.936 160.482 Tm
(V)Tj
/F2 1 Tf
9.9626 0 0 9.9626 272.151 156.864 Tm
-0.0002 Tc
(the)Tj
-23.2113 -1.3 TD
0 Tc
[(set)-231.7(o)0.4(f)-233.8(i)0.4(n)28(t)0.4(ersections)-233.4(o)0.4(f)]TJ
/F9 1 Tf
9.1992 0 TD
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 139.761 147.531 Tm
(U)Tj
/F2 1 Tf
9.9626 0 0 9.9626 148.752 143.9131 Tm
-0.0002 Tc
(and)Tj
/F9 1 Tf
1.8438 0 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 174.33 147.531 Tm
(S)Tj
/F2 1 Tf
9.9626 0 0 9.9626 180.099 143.9131 Tm
-0.0002 Tc
[(.)-410.8(T)0.2(he)-233.3(trellis)-233.6(is)]TJ
/F11 1 Tf
6.2334 0 TD
0.0001 Tc
[(tr)51.4(ansverse)]TJ
/F2 1 Tf
-20.205 -1.3 TD
-0.0002 Tc
[(if)-334.2(all)-334(of)-334.2(its)-334.8(in)27.8(tersection)-334.5(p)-28.2(oin)27.8(ts)-334.8(are)-333.6(t)0.2(ransv)28(e)-0.2(rse.)]TJ
1.1997 -2.5999 TD
-0.0001 Tc
[(Since)-423.8(all)-424.2(trellises)-425(considered)-422.9(in)-423.8(this)-424.1(pap)-28.1(e)-0.1(r)-424.2(a)0.3(re)-422.9(trans-)]TJ
-1.1997 -1.3 TD
0 Tc
[(v)28.2(e)0(rse,)-319.4(the)-316.2(w)28.4(ord)]TJ
/F11 1 Tf
6.9353 0 TD
-0.0001 Tc
[(tr)51.2(el)-51.7(lis)]TJ
/F2 1 Tf
2.8384 0 TD
-0.0002 Tc
[(will)-317.8(b)-28.2(e)-316.4(understo)-27.8(o)-27.8(d)-316.4(to)-316.9(mean)]TJ
/F11 1 Tf
12.2842 0 TD
0.0002 Tc
[(tr)51.5(ans-)]TJ
-22.058 -1.3 TD
0 Tc
[(verse)-357.6(tr)51.3(el)-51.6(lis)]TJ
/F2 1 Tf
5.0093 0 TD
(.)Tj
/F3 1 Tf
21.391 63.8 TD
-0.0001 Tc
[(Denition)-428.8(3)0.3(.2.)-795.3(\()-0.4(Segment.\))]TJ
/F2 1 Tf
13.6917 0 TD
0.0001 Tc
(Let)Tj
/F9 1 Tf
1.9414 0 TD
0 Tc
(T)Tj
/F2 1 Tf
1.2503 0 TD
0.5276 Tc
(=\()Tj
/F9 1 Tf
1.6938 0 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 496.206 718.392 Tm
(U)Tj
/F9 1 Tf
9.9626 0 0 9.9626 502.875 714.774 Tm
0.1658 Tc
(,T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 514.5029 718.392 Tm
0 Tc
(S)Tj
/F2 1 Tf
9.9626 0 0 9.9626 520.281 714.774 Tm
0.4831 Tc
[(\)b)455.1(ea)]TJ
-21.7171 -1.3 TD
-0.0001 Tc
[(trellis.)-624.8(A)]TJ
/F11 1 Tf
4.497 0 TD
[(se)51.6(gment)]TJ
/F2 1 Tf
3.9388 0 TD
-0.0004 Tc
(of)Tj
/F9 1 Tf
1.1988 0 TD
0 Tc
(T)Tj
/F2 1 Tf
1.1157 0 TD
-0.0001 Tc
[(is)-394.3(a)-393.5(c)-0.1(losed)-393.1(subin)27.9(t)0.3(erv)55.2(a)0.3(l)-394.4(o)0.3(f)-393.8(e)-0.1(ither)]TJ
/F9 1 Tf
-10.7503 -1.2999 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 311.13 692.49 Tm
(U)Tj
/F2 1 Tf
9.9626 0 0 9.9626 320.418 688.8721 Tm
-0.0004 Tc
(or)Tj
/F9 1 Tf
1.1545 0 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 339.129 692.49 Tm
(S)Tj
/F2 1 Tf
9.9626 0 0 9.9626 347.526 688.8721 Tm
-0.0003 Tc
[(with)-264.1(endp)-28.3(oin)27.7(ts)-264.4(in)]TJ
/F9 1 Tf
7.7944 0 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 432.387 692.49 Tm
(V)Tj
/F2 1 Tf
9.9626 0 0 9.9626 441.927 688.8721 Tm
-0.0002 Tc
[(but)-262.6(in)27.8(terior)-265.3(disjoin)27.8(t)-264.5(f)0(rom)]TJ
/F9 1 Tf
-13.8524 -1.3 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 311.13 679.5391 Tm
(V)Tj
/F2 1 Tf
9.9626 0 0 9.9626 318.042 675.921 Tm
-0.0002 Tc
[(.)-605(T)0.2(he)-386.9(segmen)27.8(t)-387.3(is)-387.2(called)]TJ
/F11 1 Tf
10.8569 0 TD
0.0001 Tc
(unstable)Tj
/F2 1 Tf
3.9884 0 TD
-0.0004 Tc
(or)Tj
/F11 1 Tf
1.2783 0 TD
0.0001 Tc
(stable)Tj
/F2 1 Tf
2.8899 0 TD
-0.0001 Tc
(according)Tj
-20.4309 -1.3 TD
-0.0002 Tc
[(to)-334(whether)-333.9(it)-334(is)-333.9(a)-334(s)-0.5(ubin)27.8(t)0.2(erv)55.1(a)0.2(l)-334(o)0.2(f)]TJ
/F9 1 Tf
14.1551 0 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 452.151 666.588 Tm
(U)Tj
/F2 1 Tf
9.9626 0 0 9.9626 462.15 662.97 Tm
-0.0004 Tc
[(or)-334.2(of)]TJ
/F9 1 Tf
2.3633 0 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 492.903 666.588 Tm
(S)Tj
/F2 1 Tf
9.9626 0 0 9.9626 498.672 662.97 Tm
(.)Tj
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-19.5481 -2.5005 TD
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[(Denition)-285.2(3)0.2(.3.)-364.5(\()-0.6(Region,)-287.7(Bigon.\))]TJ
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(Let)Tj
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/F2 1 Tf
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(T)Tj
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6.9738 0 0 6.9738 499.059 641.676 Tm
(U)Tj
/F9 1 Tf
9.9626 0 0 9.9626 505.737 638.058 Tm
0.1658 Tc
(,T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 517.365 641.676 Tm
0 Tc
(S)Tj
/F2 1 Tf
9.9626 0 0 9.9626 523.134 638.058 Tm
0.3399 Tc
[(\)b)311.9(ea)]TJ
-22.0035 -1.3 TD
-0.0001 Tc
[(trellis.)-443.2(T)0.3(hen)-328(a)]TJ
/F11 1 Tf
6.6046 0 TD
-0.0515 Tc
[(reg)-51.3(i)-51.1(o)-51.7(n)]TJ
/F2 1 Tf
3.0236 0 TD
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(of)Tj
/F9 1 Tf
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(T)Tj
/F2 1 Tf
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[(is)-327.6(the)-327.2(c)-0.2(losure)-328.1(o)0.2(f)-327.9(a)-326.8(comp)-28.2(onen)27.8(t)]TJ
-11.8118 -1.3 TD
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0 Tc
(S)Tj
/F6 1 Tf
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(2)Tj
/F13 1 Tf
9.9626 0 0 9.9626 328.77 612.156 Tm
(\\)Tj
/F2 1 Tf
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(\()Tj
/F9 1 Tf
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(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 347.094 615.774 Tm
(U)Tj
/F13 1 Tf
9.9626 0 0 9.9626 356.04 612.156 Tm
()Tj
/F9 1 Tf
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(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 372.159 615.774 Tm
(S)Tj
/F2 1 Tf
9.9626 0 0 9.9626 377.928 612.156 Tm
-0.0004 Tc
[(\).)-469.7(A)]TJ
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(bigon)Tj
/F2 1 Tf
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(of)Tj
/F9 1 Tf
1.1473 0 TD
0 Tc
(T)Tj
/F2 1 Tf
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[(is)-342.9(a)-341.2(r)-0.6(egion)-342.6(b)-28.2(o)0.2(unded)-342.6(b)27.8(y)]TJ
-14.586 -1.3 TD
[(t)28.2(w)28.2(o)-334.9(segmen)27.8(t)0.2(s)-334.8(\(one)-334.5(unstable)-334.5(and)-333.6(o)0.2(ne)-333.6(stable\).)]TJ
/F3 1 Tf
0 -2.4996 TD
0 Tc
[(Denition)-389.8(3)0.4(.4.)-678.7(\()-0.3(Full)-389.6(horseshoe)-390.7(tr)11.4(ellis.\))]TJ
/F2 1 Tf
18.7949 0 TD
0.0001 Tc
(Let)Tj
/F9 1 Tf
1.9025 0 TD
0 Tc
(f)Tj
/F2 1 Tf
1.0416 0 TD
0.028 Tc
[(be)-416.5(t)28.4(h)28(e)]TJ
-21.739 -1.3 TD
-0.0001 Tc
[(Smale)-281.1(horsesho)-27.7(e)-278.4(map,)-291.5(a)0.3(nd)]TJ
/F9 1 Tf
11.7259 0 TD
0 Tc
(p)Tj
/F2 1 Tf
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[(b)-28.2(e)-279.4(the)-280.3()-0.2(xed)-279.4(p)-28.2(oin)27.8(t)-280.7(with)-281.2(co)-27.8(de)]TJ
ET
0 0 0 1 K
0 J 0 j 0.405 w 10 M []0 d
1 i
303.921 556.217 m
308.907 556.217 l
S
BT
9.9626 0 0 9.9626 303.921 548.4 Tm
[(0.)-632.1(Let)]TJ
/F9 1 Tf
3.263 0 TD
0 Tc
(q)Tj
/F6 1 Tf
6.9738 0 0 6.9738 340.875 546.906 Tm
(0)Tj
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9.9626 0 0 9.9626 349.29 548.4 Tm
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[(b)-28.3(e)-396(the)-396(h)-0.3(omo)-27.9(clinic)-398.7(p)-28.3(oin)27.7(t)-396.4(with)-396.9(itinerary)]TJ
ET
523.269 556.217 m
528.255 556.217 l
S
BT
9.9626 0 0 9.9626 523.2709 548.4 Tm
0 Tc
(0)Tj
/F13 1 Tf
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()Tj
/F2 1 Tf
0.542 0 TD
(1)Tj
ET
541.251 556.217 m
546.237 556.217 l
S
BT
9.9626 0 0 9.9626 541.2531 548.4 Tm
0.0005 Tc
(0,)Tj
-23.8222 -1.3 TD
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(and)Tj
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/F10 1 Tf
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(k)Tj
/F2 1 Tf
9.9626 0 0 9.9626 336.231 535.449 Tm
(=)Tj
/F9 1 Tf
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(f)Tj
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6.9738 0 0 6.9738 353.214 539.058 Tm
(k)Tj
/F2 1 Tf
9.9626 0 0 9.9626 358.119 535.449 Tm
(\()Tj
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(q)Tj
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6.9738 0 0 6.9738 366.435 533.955 Tm
(0)Tj
/F2 1 Tf
9.9626 0 0 9.9626 370.908 535.449 Tm
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[(\).)-539.1(Giv)28(e)-0.2(n)]TJ
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0 Tc
(i)Tj
/F13 1 Tf
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()Tj
/F2 1 Tf
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[(0a)364.9(n)364.5(d)]TJ
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0 Tc
(j)Tj
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()Tj
/F2 1 Tf
1.1075 0 TD
-0.0003 Tc
[(0,)-373(denote)-365.3(b)27.7(y)]TJ
/F9 1 Tf
5.8232 0 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 542.331 539.058 Tm
(U)Tj
-0.1988 -0.8892 TD
(i)Tj
/F2 1 Tf
9.9626 0 0 9.9626 303.921 522.498 Tm
-0.0002 Tc
[(an)-361.6(in)27.8(terv)55.1(al)-362.9(in)]TJ
/F9 1 Tf
6.2532 0 TD
0 Tc
(W)Tj
/F10 1 Tf
6.9738 0 0 6.9738 377.01 526.1071 Tm
(U)Tj
/F2 1 Tf
9.9626 0 0 9.9626 383.688 522.498 Tm
(\()Tj
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(f)Tj
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(;)Tj
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(p)Tj
/F2 1 Tf
0.5032 0 TD
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[(\))-362.9(with)-363.4(end)-361.6(in)27.8(tersections)]TJ
/F9 1 Tf
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0 Tc
(p)Tj
/F2 1 Tf
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(and)Tj
/F9 1 Tf
1.973 0 TD
0 Tc
(q)Tj
/F10 1 Tf
6.9738 0 0 6.9738 542.916 521.004 Tm
(i)Tj
/F2 1 Tf
9.9626 0 0 9.9626 546.237 522.498 Tm
(,)Tj
-24.3225 -1.3 TD
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[(and)-260.4(b)27.8(y)]TJ
/F9 1 Tf
3.1862 0 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 342.873 513.156 Tm
(S)Tj
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(j)Tj
/F2 1 Tf
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[(the)-260.2(i)0.4(n)28(t)0.4(erv)55.3(a)0.4(l)-260.6(i)0.4(n)]TJ
/F9 1 Tf
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(W)Tj
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(S)Tj
/F2 1 Tf
9.9626 0 0 9.9626 430.371 509.547 Tm
(\()Tj
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(f)Tj
/F2 1 Tf
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(;)Tj
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(p)Tj
/F2 1 Tf
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-0.0003 Tc
[(\))-260.9(with)-261.4(end)-260.5(p)-28.3(oin)27.7(ts)]TJ
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(p)Tj
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(and)Tj
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(q)Tj
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(j)Tj
/F2 1 Tf
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0.5091 Tc
[(.F)591.8(o)509.5(r)]TJ
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(n)Tj
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()Tj
/F2 1 Tf
1.0904 0 TD
-0.0004 Tc
[(2,)-361.3(a)]TJ
/F11 1 Tf
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/F9 1 Tf
14.652 0 TD
(n)Tj
/F2 1 Tf
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[(is)-355.8(a)]TJ
-23.0733 -1.3 TD
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(trellis)Tj
/F9 1 Tf
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0 Tc
(T)Tj
/F2 1 Tf
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(=\()Tj
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0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 363.24 487.254 Tm
(U)Tj
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(i)Tj
/F9 1 Tf
9.9626 0 0 9.9626 369.918 483.645 Tm
0.1658 Tc
(,T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 381.546 487.254 Tm
0 Tc
(S)Tj
-0.1987 -0.8905 TD
(j)Tj
/F2 1 Tf
9.9626 0 0 9.9626 387.324 483.645 Tm
-0.0001 Tc
[(\))-333(s)-0.4(uc)27.9(h)-333.5(t)0.3(hat)]TJ
/F9 1 Tf
5.1448 0 TD
0 Tc
(i)Tj
/F13 1 Tf
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()Tj
/F9 1 Tf
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(j)Tj
/F2 1 Tf
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(=)Tj
/F9 1 Tf
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(n)Tj
/F2 1 Tf
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(.)Tj
-16.2852 -2.6008 TD
-0.0001 Tc
[(It)-456.8(is)-456.6(clear)-457.6(t)0.3(hat)-457.7(all)-456.8(full)-457.7(horsesho)-27.7(e)-456.3(t)0.3(rellises)-457.5(as)-456.6(dened)]TJ
-1.1997 -1.3 TD
-0.0002 Tc
[(ab)-28.2(o)28.2(v)28(e)-401.3(with)-402.2(the)-401.3(s)-0.5(ame)-400.4(signature)-402.2(are)-400.4(d)-0.2(ieren)27.8(tiably)-402(conju-)]TJ
T*
-0.0003 Tc
(gate.)Tj
/F3 1 Tf
0 -1.7995 TD
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[(Example)-432.5(3)0.2(.5.)]TJ
/F2 1 Tf
6.5694 0 TD
-0.0001 Tc
[(The)-487(f)0.1(ull)-486.6(h)-0.1(orsesho)-27.7(e)-486.1(trellis)-487.4(of)-485.9(signature)-487.9(2)]TJ
-6.5694 -1.3 TD
-0.0002 Tc
[(is)-488.4(depicted)-488.1(in)-488(Figure)-488(2\(a\).)-908.6(The)-488.1(c)27.8(haotic)-489.9(dynamics)-489.3(a)0.2(re)]TJ
T*
-0.0001 Tc
[(supp)-28.1(orted)-228.7(i)0.3(n)-228.7(t)0.3(he)-229.6(regions)-229.9(lab)-28.1(elled)]TJ
/F9 1 Tf
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0 Tc
(R)Tj
/F6 1 Tf
6.9738 0 0 6.9738 452.556 386.508 Tm
(0)Tj
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9.9626 0 0 9.9626 459.306 388.002 Tm
-0.0002 Tc
(and)Tj
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0 Tc
(R)Tj
/F6 1 Tf
6.9738 0 0 6.9738 485.199 386.508 Tm
(1)Tj
/F2 1 Tf
9.9626 0 0 9.9626 489.663 388.002 Tm
-0.0004 Tc
[(.)-410.1(A)-0.2(ll)-229.4(p)-28.4(oin)27.6(ts)-231.1(in)]TJ
-18.6439 -1.3 TD
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[(the)-311(i)0.2(n)27.8(t)0.2(erior)-311.4(of)]TJ
/F9 1 Tf
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0 Tc
(R)Tj
/F10 1 Tf
6.9738 0 0 6.9738 374.499 373.557 Tm
(S)Tj
/F2 1 Tf
9.9626 0 0 9.9626 383.355 375.0511 Tm
-0.0001 Tc
[(are)-310.9(i)0.3(n)-310(t)0.3(he)-310.9(basin)-310.9(o)0.3(f)-310.7(t)0.3(he)-310.9(attracting)-312.2()-0.1(xed)]TJ
-7.9732 -1.3 TD
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[(p)-28.4(oin)27.6(t)]TJ
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0 Tc
(a)Tj
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[(,)-431.7(a)0.1(nd)-413.2(all)-412.7(p)-28.3(oin)27.7(ts)-413.5(in)-412.3(the)-413.2(i)0.1(n)27.7(t)0.1(erior)-413.5(of)]TJ
/F9 1 Tf
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(R)Tj
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(U)Tj
/F2 1 Tf
9.9626 0 0 9.9626 505.341 362.1 Tm
[(are)-412(i)0.4(n)-412.9(t)0.4(he)]TJ
-20.2175 -1.3 TD
-0.0002 Tc
[(basin)-342.6(o)0.2(f)-342.4(t)0.2(he)-342.6(rep)-28.2(e)-0.2(lling)-343.1(p)-28.2(oin)27.8(t)-343(a)0.2(t)-342.1(i)0.2(nnit)28.2(y)83.1(.)-472.2(T)0.2(he)-342.6(p)-28.2(oin)27.8(t)]TJ
/F9 1 Tf
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0 Tc
(r)Tj
/F6 1 Tf
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(0)Tj
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9.9626 0 0 9.9626 534.555 349.149 Tm
-0.0002 Tc
(has)Tj
-23.1499 -1.3 TD
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(itinerary)Tj
ET
344.529 344.015 m
349.515 344.015 l
S
BT
9.9626 0 0 9.9626 344.5295 336.198 Tm
-0.0004 Tc
(01)Tj
/F13 1 Tf
1.1961 0 TD
0 Tc
()Tj
/F2 1 Tf
0.4743 0 TD
-0.0004 Tc
(01)Tj
ET
371.124 344.015 m
376.11 344.015 l
S
BT
9.9626 0 0 9.9626 371.1248 336.198 Tm
-0.0001 Tc
[(0,)-323.1(and)-320.8(t)0.3(he)-320.8(p)-28.1(oin)27.9(t)]TJ
/F9 1 Tf
7.34 0 TD
0 Tc
(r)Tj
/F6 1 Tf
6.9738 0 0 6.9738 448.74 334.704 Tm
(1)Tj
/F2 1 Tf
9.9626 0 0 9.9626 456.408 336.198 Tm
-0.0001 Tc
[(has)-320.2(itinerary)]TJ
ET
514.647 344.015 m
519.633 344.015 l
S
BT
9.9626 0 0 9.9626 514.6476 336.198 Tm
0.0005 Tc
(01)Tj
/F13 1 Tf
1.1961 0 TD
0 Tc
()Tj
/F2 1 Tf
0.4743 0 TD
-0.0004 Tc
(11)Tj
ET
541.242 344.015 m
546.228 344.015 l
S
BT
9.9626 0 0 9.9626 541.243 336.198 Tm
0.0014 Tc
(0.)Tj
-23.8212 -1.3 TD
-0.0001 Tc
[(The)-479.8(f)0.1(ull)-480.3(h)-0.1(orsesho)-27.7(e)-478.9(trellis)-480.1(of)-480.5(signature)-479.8(3)-479.4(i)0.3(s)-480.1(depicted)-480.7(in)]TJ
0 -1.3009 TD
[(Figure)-333.5(2\(b\).)]TJ
/F3 1 Tf
0 -2.5999 TD
[(3.2)-1200.3(P)0.3(runing)-278.8(Isotopies)]TJ
/F2 1 Tf
0 -1.5999 TD
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[(Giv)28(e)-0.2(n)-368.8(a)-368.3(trellis)]TJ
/F9 1 Tf
6.6191 0 TD
0 Tc
(T)Tj
/F2 1 Tf
1.0913 0 TD
-0.0001 Tc
[(for)-369.1(a)-368.3(dieomorphism)]TJ
/F9 1 Tf
9.5045 0 TD
0 Tc
(f)Tj
/F2 1 Tf
0.5971 0 TD
-0.0001 Tc
[(,)-377.3(a)-368.3(pruning)-367.3(iso-)]TJ
-17.812 -1.3 TD
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[(top)27.8(y)-282.8(i)0.2(s)-283.3(a)0.2(n)-283(i)0.2(sotop)27.8(y)-283.7(w)0.2(hic)27.8(h)-283(remo)28.2(v)28(e)-0.2(s)-283.3(t)0.2(he)-283(in)27.8(tersections)-284.2(o)0.2(n)-283(t)0.2(he)]TJ
T*
-0.0001 Tc
[(b)-28.1(o)0.3(undary)-261(of)-261.9(one)-262.1(o)0.3(r)-261.6(more)-262.1(b)-0.1(igons)-262.4(o)0.3(f)]TJ
/F9 1 Tf
14.9537 0 TD
0 Tc
(f)Tj
/F2 1 Tf
0.5971 0 TD
[(.)-420.5(T)83.5(o)-261.6(b)-28(e)-261.1(more)-262(p)0(recise,)]TJ
-15.5509 -1.3 TD
-0.0003 Tc
[(it)-382.9(is)-383.7(an)-383.4(isotop)27.7(y)-384(f)-0.1(rom)]TJ
/F9 1 Tf
9.4548 0 TD
0 Tc
(f)Tj
/F2 1 Tf
0.9793 0 TD
-0.0001 Tc
[(to)-383.6(a)-382.7(d)-0.1(ieomorphism)]TJ
/F9 1 Tf
9.2398 0 TD
0 Tc
(f)Tj
/F7 1 Tf
6.9738 0 0 6.9738 505.872 233.211 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 512.478 229.593 Tm
-0.0003 Tc
[(that)-383.8(has)]TJ
-20.9339 -1.3 TD
-0.0002 Tc
[(a)-387.3(t)0.2(rellis)]TJ
/F9 1 Tf
3.7265 0 TD
0 Tc
(T)Tj
/F7 1 Tf
6.9738 0 0 6.9738 348.255 220.2601 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 354.906 216.642 Tm
-0.0002 Tc
[(obtained)-389.6(from)]TJ
/F9 1 Tf
6.583 0 TD
0 Tc
(T)Tj
/F2 1 Tf
1.1103 0 TD
-0.0001 Tc
[(b)27.9(y)-387.4(remo)28.3(ving)-388.1(suc)27.9(h)-387.7(in)27.9(tersec-)]TJ
ET
/EmbeddedDocument /MC3 BDC
/EmbeddedDocument /MC4 BDC
q
328.802 110.674 194.932 84.381 re
W n
0.523 0.508 0.523 RG
1.009 w
348.611 171.508 m
348.611 184.042 358.783 194.215 371.318 194.215 c
383.852 194.215 394.025 184.042 394.025 171.508 c
366.776 171.508 m
366.776 174.015 368.811 176.05 371.318 176.05 c
373.825 176.05 375.859 174.015 375.859 171.508 c
394.025 126.093 m
394.025 121.08 389.956 117.011 384.942 117.011 c
379.928 117.011 375.859 121.08 375.859 126.093 c
394.025 126.093 m
394.025 171.508 l
348.611 126.093 m
348.611 171.508 l
S
Q
q
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S
0 0 0 RG
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73.517 686.768 64.753 692.026 64.753 698.505 c
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h
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h
240.827 698.505 m
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201.703 704.984 210.467 710.242 221.265 710.242 c
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s
1 1 1 rg
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219.946 699.225 220.53 699.809 221.25 699.809 c
221.97 699.809 222.554 699.225 222.554 698.505 c
b*
1.956 w
305.372 698.505 m
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296.608 710.242 305.372 704.984 305.372 698.505 c
s
Q
1 1 1 rg
0 0 0 RG
0 J 2 j 0.326 w 10 M []0 d
1 i
287.114 698.505 m
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285.09 697.201 284.506 697.785 284.506 698.505 c
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b*
q
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Q
0 j
256.639 696.546 m
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S
q
63.48 676.587 243.62 35.197 re
126.049 696.546 m
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W* n
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S
Q
119.702 696.546 m
124.919 698.502 l
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S
EMC
BT
/F20 1 Tf
8.2507 0 0 8.2507 247.2507 678.9885 Tm
0 0 0 rg
-0.0007 Tc
(\(b\))Tj
-16.5719 0 TD
0.0015 Tc
(\(a\))Tj
ET
EMC
BT
/F3 1 Tf
8.9664 0 0 8.9664 67.833 660.2521 Tm
0 0 0 1 k
0 Tc
[(FIGURE)-277.9(3)]TJ
/F16 1 Tf
4.3341 0 TD
-0.0001 Tc
[(.)-457.4(T)-0.6(he)-341.9(lo)-28.2(cal)-343(e)0.4(ect)-344.2(of)-342.5(pruning)-342.4(isotopies)-343.5(o)-0.1(n)-342.5(a)-343.4(trellis.)]TJ
/F2 1 Tf
9.9626 0 0 9.9626 63 623.118 Tm
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0 -1.3 TD
-0.0002 Tc
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T*
[(ure)-354.3(3\(a\),)-362(or)-355.6(remo)28.2(v)28(e)-356.2(in)27.8(tersections)-356.5(f)0(rom)-355.7(t)28.2(w)28.2(o)-355.7(neigh)27.8(b)-28.2(o)0.2(uring)]TJ
T*
[(bigons,)-476.7(c)27.8(h)-0.2(anging)-448.8(t)0.2(he)-447.4(orien)27.8(tation)-451(of)-447.2(the)-448.3(c)-0.2(rossing)-446.9(at)-447.8(the)]TJ
T*
-0.0001 Tc
[(remaining)-334.8(i)0.3(n)27.9(t)0.3(ersection,)-334.8(a)0.3(s)-333.8(depicted)-334.4(in)-334.4(Figure)-333.5(3\(b\).)]TJ
1.1997 -1.3 TD
[(An)-263.9(isotop)27.9(y)-265.5(o)0.3(f)-263.7(t)0.3(he)-264.8(dieomorphism)]TJ
/F9 1 Tf
14.6376 0 TD
0 Tc
(f)Tj
/F2 1 Tf
0.8609 0 TD
-0.0001 Tc
[(supp)-28.1(orted)-263(i)0.3(n)-264.8(s)-0.4(ome)]TJ
-16.6982 -1.3 TD
[(op)-28.1(en)-412.1(set)]TJ
/F9 1 Tf
4.1348 0 TD
0 Tc
(U)Tj
/F2 1 Tf
1.2033 0 TD
-0.0002 Tc
[(will)-413.5(also)-412.6(c)27.8(hange)-413.1(t)0.2(he)-412.2(trellis)-413.4(outside)-412.2(o)0.2(f)]TJ
/F9 1 Tf
16.8463 0 TD
0 Tc
(U)Tj
/F2 1 Tf
0.7923 0 TD
0.6789 Tc
[(.I)678.7(f)]TJ
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/F9 1 Tf
23.5991 0 TD
(T)Tj
/F2 1 Tf
0.7236 0 TD
(,)Tj
-24.3228 -1.3 TD
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[(w)28.3(e)-298.2(need)-298.2(to)-298.7(ensure)-296.4(t)0.3(hat)-299.6(n)-0.1(o)-297.8(other)-298.6(in)27.9(tersections)-299.5(a)0.3(re)-298.2(created)]TJ
T*
-0.0002 Tc
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T*
-0.0004 Tc
[(the)-333.8(n)-0.4(otion)-335.6(of)-334.4(an)]TJ
/F11 1 Tf
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[(Denition)-390.9(3)0.2(.6.)-679.8(\(Inner)-389.9(bigon.\))]TJ
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14.7541 0 TD
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(B)Tj
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-0.0004 Tc
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/F11 1 Tf
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(inner)Tj
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(if)Tj
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(B)Tj
/F13 1 Tf
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( )Tj
/F21 1 Tf
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()Tj
/F10 1 Tf
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(n)Tj
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()Tj
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(Z)Tj
/F9 1 Tf
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(f)Tj
/F10 1 Tf
6.9738 0 0 6.9738 113.499 458.364 Tm
(n)Tj
/F2 1 Tf
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(\()Tj
/F9 1 Tf
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(T)Tj
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6.9738 0 0 6.9738 130.005 458.364 Tm
(V)Tj
/F2 1 Tf
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0.2805 Tc
(\)=)Tj
/F9 1 Tf
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(B)Tj
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( )Tj
/F9 1 Tf
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(T)Tj
/F10 1 Tf
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(V)Tj
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-0.0001 Tc
[(.)-449.5(I)-0.3(n)-335.3(other)-335.7(w)28.3(o)0.3(rds,)-335.7(a)-335.7(b)-0.1(igon)]TJ
/F9 1 Tf
11.3031 0 TD
0 Tc
(B)Tj
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/F9 1 Tf
15.6249 0 TD
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(B)Tj
/F2 1 Tf
1.1889 0 TD
-0.0003 Tc
[(with)-381.6(the)-379.7(o)0.1(rbits)-381(of)]TJ
-16.8138 -1.3 TD
-0.0002 Tc
[(the)-295.6(i)0.2(n)27.8(t)0.2(ersection)-297.4(p)-28.2(oin)27.8(ts)-296.8(of)-295.4(the)-296.5(t)0.2(rellis)-295.9(are)-295.6(t)0.2(he)-296.5(v)28(e)-0.2(rtices)-295.9(of)]TJ
/F9 1 Tf
23.5142 0 TD
0 Tc
(B)Tj
/F2 1 Tf
0.8094 0 TD
(.)Tj
-23.124 -2.5999 TD
-0.0002 Tc
[(The)-416.7(f)0(ollo)28.2(wing)-418.9(r)-0.6(esult)-415.3(f)0(ollo)28.2(ws)-418.8(from)-415.3(the)-416.7(p)-0.2(ro)-27.8(of)-416.4(of)-415.5(Theo-)]TJ
-1.1997 -1.3 TD
-0.0003 Tc
[(rem)-333.2(3.5)-334.1(of)-334.3([Collins)-336.7(04a].)]TJ
/F3 1 Tf
0 -2.5999 TD
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[(T)37.3(heor)11.2(em)-394(3.7.)-687(\(Pruning)-392.7(a)18.3(w)24.4(a)30(y)-392.7(an)-392.8(Inner)-392.6(Bigon.\))]TJ
/F11 1 Tf
22.0462 0 TD
-0.0518 Tc
[(Le)-51.6(t)]TJ
/F9 1 Tf
1.8312 0 TD
0 Tc
(T)Tj
/F11 1 Tf
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[(b)51.7(e)-443.4(a)-443.8(t)-0.2(r)51.3(e)0.2(l)-51.6(l)-0.1(is)-443(of)-443.1(a)-442.9(d)-0.2(ie)51.7(o)-0.2(morphism)]TJ
/F9 1 Tf
14.4659 0 TD
(f)Tj
/F11 1 Tf
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0.0001 Tc
[(.)-715.9(S)0.4(upp)51.4(o)-0.1(se)-442.4(either)-443.7(that)]TJ
/F9 1 Tf
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0 Tc
(B)Tj
/F11 1 Tf
1.2024 0 TD
-0.0001 Tc
[(is)-394.3(an)-393.7(inner)-395.1(b)0.1(igon)-393.7(with)-393.3(vertic)51.6(e)0.1(s)]TJ
/F9 1 Tf
13.8362 0 TD
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(v)Tj
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6.9738 0 0 6.9738 217.656 336.693 Tm
(0)Tj
/F11 1 Tf
9.9626 0 0 9.9626 226.044 338.187 Tm
-0.0001 Tc
(and)Tj
/F9 1 Tf
1.9784 0 TD
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(v)Tj
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6.9738 0 0 6.9738 250.587 336.693 Tm
(1)Tj
/F11 1 Tf
9.9626 0 0 9.9626 255.051 338.187 Tm
0.0002 Tc
[(,)-402.3(o)0(r)-393(that)]TJ
/F9 1 Tf
4.1158 0 TD
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(B)Tj
/F6 1 Tf
6.9738 0 0 6.9738 303.615 336.693 Tm
(0)Tj
/F11 1 Tf
9.9626 0 0 9.9626 63 325.2361 Tm
-0.0001 Tc
(and)Tj
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2.0633 0 TD
0 Tc
(B)Tj
/F6 1 Tf
6.9738 0 0 6.9738 91.116 323.742 Tm
(1)Tj
/F11 1 Tf
9.9626 0 0 9.9626 100.35 325.2361 Tm
-0.0001 Tc
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/F9 1 Tf
18.2673 0 TD
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(v)Tj
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-0.0001 Tc
(and)Tj
-23.0155 -1.3 TD
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[(other)-404(vertic)51.7(e)0.2(s)]TJ
/F9 1 Tf
6.3029 0 TD
(v)Tj
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6.9738 0 0 6.9738 130.626 310.791 Tm
(0)Tj
/F11 1 Tf
9.9626 0 0 9.9626 139.122 312.285 Tm
-0.0001 Tc
(and)Tj
/F9 1 Tf
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(v)Tj
/F6 1 Tf
6.9738 0 0 6.9738 163.773 310.791 Tm
(1)Tj
/F11 1 Tf
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[(on)-403.5(dier)51.3(e)0.2(nt)-405.8(orbits.)-599.4(Then)-404.4(ther)51.3(e)]TJ
-10.9679 -1.3 TD
[(is)-371.6(a)-370.6(d)-0.2(ie)51.7(o)-0.2(morphism)]TJ
/F9 1 Tf
8.9968 0 TD
(h)Tj
/F2 1 Tf
0.8772 0 TD
(:)Tj
/F9 1 Tf
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(S)Tj
/F6 1 Tf
6.9738 0 0 6.9738 173.835 302.952 Tm
(2)Tj
/F13 1 Tf
9.9626 0 0 9.9626 181.305 299.334 Tm
()Tj
/F9 1 Tf
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(S)Tj
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(2)Tj
/F11 1 Tf
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0.0002 Tc
[(,)-373.4(that)-370.4(we)-370(c)51.9(a)0(n)-371.7(take)-370(t)0(o)-370.4(b)51.9(e)]TJ
-14.2959 -1.3 TD
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[(supp)51.4(orte)51.8(d)-401.2(o)-0.1(n)-402.5(a)-401.2(neighb)51.8(ourho)51.4(o)51.4(d)]TJ
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(U)Tj
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(of)Tj
/F9 1 Tf
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(B)Tj
/F11 1 Tf
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(or)Tj
/F9 1 Tf
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(0)Tj
/F13 1 Tf
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()Tj
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(B)Tj
/F6 1 Tf
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(1)Tj
/F11 1 Tf
9.9626 0 0 9.9626 281.817 286.383 Tm
0.4133 Tc
[(,s)413(u)413.4(c)413.5(h)]TJ
-21.9638 -1.3 TD
0.0002 Tc
(that)Tj
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(f)Tj
/F7 1 Tf
6.9738 0 0 6.9738 88.704 277.041 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 94.266 273.4321 Tm
(=)Tj
/F9 1 Tf
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(f)Tj
/F13 1 Tf
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()Tj
/F9 1 Tf
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(h)Tj
/F11 1 Tf
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[(has)-295.8(a)-296.5(t)-0.2(r)51.3(e)0.2(l)-51.6(l)-0.1(is)]TJ
/F9 1 Tf
5.2722 0 TD
(T)Tj
/F7 1 Tf
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()Tj
/F11 1 Tf
9.9626 0 0 9.9626 191.655 273.4321 Tm
[(with)-296.5(the)-295.2(same)-296.1(interse)51.7(c)0.2(tions)]TJ
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[(ap)51.4(art)-357(fr)51.4(om)-358.3(those)-356.6(o)-0.1(n)-357.3(the)-357.5(orbits)-358(o)-0.1(f)]TJ
/F9 1 Tf
14.605 0 TD
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(v)Tj
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(0)Tj
/F11 1 Tf
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(and)Tj
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6.9738 0 0 6.9738 245.547 258.9871 Tm
(1)Tj
/F11 1 Tf
9.9626 0 0 9.9626 253.575 260.481 Tm
-0.0001 Tc
(under)Tj
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(f)Tj
/F11 1 Tf
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(.)Tj
/F2 1 Tf
-21.3766 -2.5999 TD
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[(The)-292(t)0.2(rellis)]TJ
/F9 1 Tf
4.7581 0 TD
0 Tc
(T)Tj
/F7 1 Tf
6.9738 0 0 6.9738 129.564 238.188 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 135.252 234.579 Tm
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[(is)-292.2(obtained)-292.8(b)27.9(y)-291.7(remo)28.3(ving)-292.4(all)-292.4(the)-291.9(i)0.3(n)27.9(t)0.3(ersec-)]TJ
-7.2523 -1.3 TD
-0.0003 Tc
[(tions)-415.3(o)0.1(f)]TJ
/F9 1 Tf
3.749 0 TD
0 Tc
(T)Tj
/F2 1 Tf
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[(con)27.8(tained)-415.8(in)-414(the)-414(o)0.2(rbit)-414.4(of)]TJ
/F9 1 Tf
11.4034 0 TD
0 Tc
(U)Tj
/F2 1 Tf
0.7923 0 TD
-0.0001 Tc
[(.)-685.3(T)0.3(he)-413.9(dieomor-)]TJ
-17.0821 -1.3009 TD
0 Tc
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ET
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b*
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b*
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b*
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b*
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b*
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b*
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b*
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b*
q
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-0.0001 Tc
(and)Tj
/F9 1 Tf
2.0227 0 TD
0 Tc
(f)Tj
/F7 1 Tf
6.9738 0 0 6.9738 148.014 614.775 Tm
()Tj
/F11 1 Tf
9.9626 0 0 9.9626 155.178 611.166 Tm
-0.0001 Tc
[(r)51.2(e)0.1(sp)51.2(e)51.6(c)0.1(tively.)-704.3(Then)]TJ
/F2 1 Tf
8.5641 0 TD
0 Tc
(\()Tj
/F9 1 Tf
0.3885 0 TD
(f)Tj
/F2 1 Tf
0.5971 0 TD
(;)Tj
/F9 1 Tf
0.4436 0 TD
(T)Tj
/F2 1 Tf
0.7236 0 TD
(\))Tj
/F11 1 Tf
0.8284 0 TD
-0.0001 Tc
(and)Tj
/F2 1 Tf
-23.0154 -1.3 TD
0 Tc
(\()Tj
/F9 1 Tf
0.3885 0 TD
(f)Tj
/F7 1 Tf
6.9738 0 0 6.9738 50.724 601.824 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 53.523 598.215 Tm
(;)Tj
/F9 1 Tf
0.4436 0 TD
(T)Tj
/F7 1 Tf
6.9738 0 0 6.9738 65.151 601.824 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 67.95 598.215 Tm
(\))Tj
/F11 1 Tf
0.7173 0 TD
-0.0001 Tc
[(have)-327.9(the)-327.8(same)-327.8(tr)51.2(el)-51.7(lis)-328.4(t)-0.3(yp)51.2(e)-328.8(i)0.3(f)-328.5(a)-0.3(nd)-328.2(only)-328.5(if)]TJ
/F9 1 Tf
17.2004 0 TD
0 Tc
(T)Tj
/F11 1 Tf
1.0515 0 TD
-0.0001 Tc
(and)Tj
/F9 1 Tf
1.9125 0 TD
0 Tc
(T)Tj
/F7 1 Tf
6.9738 0 0 6.9738 283.194 601.824 Tm
()Tj
/F11 1 Tf
9.9626 0 0 9.9626 40.905 585.264 Tm
[(ar)51.3(e)-357.6(d)-0.2(ie)51.7(o)-0.2(morphic.)]TJ
0 -2.6008 TD
-0.0513 Tc
[(P)-51.4(roo)-51.5(f)-50.9(:)]TJ
/F2 1 Tf
3.3534 0 TD
-0.0001 Tc
[(It)-474.8(suces)-474.7(to)-475.8(consider)-474.8(the)-475.3(c)-0.1(ase)]TJ
/F9 1 Tf
14.2906 0 TD
0 Tc
(T)Tj
/F2 1 Tf
1.2367 0 TD
(=)Tj
/F9 1 Tf
1.2909 0 TD
(T)Tj
/F7 1 Tf
6.9738 0 0 6.9738 249.075 562.971 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 251.874 559.353 Tm
-0.0001 Tc
[(.)-868.7(S)-0.1(ince)]TJ
-21.176 -1.3 TD
-0.0003 Tc
[(the)-456.5(p)-28.3(oin)27.7(ts)-456.8(with)-457.4(itinerary)]TJ
ET
0 0 0 1 K
0 J 0 j 0.405 w 10 M []0 d
1 i
156.303 554.228 m
161.289 554.228 l
S
BT
9.9626 0 0 9.9626 156.3042 546.402 Tm
0.0005 Tc
(01)Tj
ET
166.266 554.228 m
171.252 554.228 l
S
BT
9.9626 0 0 9.9626 166.2674 546.402 Tm
-0.0004 Tc
[(0)-456.2(all)-457.1(lie)-456.6(on)-456.6(a)-456.2(s)-0.7(ingle)-456.6(homo-)]TJ
-12.5833 -1.3 TD
-0.0002 Tc
[(clinic)-354.3(orbit,)-357.5(w)28.2(e)-353.4(can)-353.4(deduce)-352.5(the)-352.5(a)0.2(ction)-354.4(of)]TJ
/F9 1 Tf
17.9936 0 TD
0 Tc
(f)Tj
/F2 1 Tf
0.9495 0 TD
-0.0002 Tc
(and)Tj
/F9 1 Tf
1.964 0 TD
0 Tc
(f)Tj
/F7 1 Tf
6.9738 0 0 6.9738 255.141 537.069 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 261.441 533.451 Tm
-0.0004 Tc
[(on)-353.6(all)]TJ
-22.1363 -1.3 TD
-0.0001 Tc
[(the)-350.6(v)28.1(ertices)-350.9(of)]TJ
/F9 1 Tf
6.5315 0 TD
0 Tc
(T)Tj
/F2 1 Tf
1.0732 0 TD
-0.0003 Tc
[(from)-350.4(the)-350.8(a)0.1(ction)-352.6(of)-350.6(this)-351.1(orbit)-351.3(s)-0.6(imply)-351.5(b)27.7(y)]TJ
-7.6047 -1.3 TD
-0.0002 Tc
[(coun)27.8(ting)-394.5(v)28(ertices)-393.5(in)-393.2(eac)27.8(h)-393.2(fundamen)27.8(tal)-395.4(domain.)-624(T)0.2(he)-393.2(re-)]TJ
T*
[(sult)-384.6(follo)28.2(ws)-386.3(since)-384.2(all)-384.6(regions)-385.4(o)0.2(f)]TJ
/F9 1 Tf
13.9112 0 TD
0 Tc
(T)Tj
/F2 1 Tf
1.1075 0 TD
-0.0001 Tc
[(are)-384.1(s)-0.4(imply)-384.7(connected,)]TJ
-15.0188 -1.3 TD
-0.0002 Tc
[(so)-407.2(the)-407.6(i)0.2(sotop)27.8(y)-408.3(c)-0.2(lass)-408(i)0.2(s)-407.1(determined)-408.6(b)27.8(y)-407.4(the)-407.6(a)0.2(ction)-408.6(on)-407.6(the)]TJ
T*
0 Tc
[(segmen)28(t)0.4(s.)]TJ
ET
279.216 475.28 m
285.993 475.28 l
279.418 469.092 m
279.418 475.077 l
285.79 469.092 m
285.79 475.077 l
279.216 468.899 m
285.993 468.899 l
S
BT
9.9626 0 0 9.9626 52.857 441.795 Tm
-0.0001 Tc
[(Since)-233.2(a)-232.7(h)-0.1(orsesho)-27.7(e)-232.3(trellis)-233.5(t)28.3(y)0.1(p)-28.1(e)-233.2(is)-232.6(fully)-233.9(determined)-233.2(b)27.9(y)-233(the)]TJ
-1.1997 -1.3 TD
[(geometry)-314.3(o)0.3(f)-313.4(t)0.3(he)-312.7(trellis,)-317.7(w)28.3(e)-313.6(dene)-312.7(the)-313.6(t)28.3(yp)-28.1(e)-312.7(o)0.3(f)-313.4(a)-313.1(horsesho)-27.7(e)]TJ
T*
-0.0002 Tc
(trellis)Tj
/F9 1 Tf
2.7924 0 TD
0 Tc
(T)Tj
/F2 1 Tf
1.0633 0 TD
-0.0003 Tc
[(to)-340.4(b)-28.3(e)-340(the)-340.9(t)28.1(yp)-28.3(e)-340(o)0.1(f)-340.7(\()]TJ
/F9 1 Tf
8.1151 0 TD
0 Tc
(f)Tj
/F2 1 Tf
0.5971 0 TD
(;)Tj
/F9 1 Tf
0.4436 0 TD
(T)Tj
/F2 1 Tf
0.7236 0 TD
-0.0001 Tc
[(\))-341.1(f)0.1(or)-340.2(an)27.9(y)-341.4(d)-0.1(ieomorphism)]TJ
/F9 1 Tf
-13.7351 -1.3 TD
0 Tc
(f)Tj
/F2 1 Tf
0.9404 0 TD
-0.0003 Tc
[(with)-345.4(trellis)]TJ
/F9 1 Tf
5.0843 0 TD
0 Tc
(T)Tj
/F2 1 Tf
1.0669 0 TD
-0.0283 Tc
[(w)-27.9(h)-28.3(i)-27.9(c)-0.3(h)-373.4(c)-28.3(a)-27.9(n)-371.6(b)-56.3(e)-371.6(o)-27.9(b)-28.3(t)-27.9(a)-27.9(i)-27.9(n)-28.3(e)-28.3(d)-373.4(by)-372.3(p)-28.3(r)-28.7(u)-28.3(n)-28.3(i)-27.9(n)-28.3(g)-372.1(away)]TJ
-7.0916 -1.3 TD
-0.0001 Tc
[(inner)-333.8(bigons.)]TJ
1.1997 -1.3 TD
0 Tc
[(Horsesho)-27.6(e)-416.5(t)0.4(rellises)-417.7(\()]TJ
/F9 1 Tf
8.9164 0 TD
(f)Tj
/F2 1 Tf
0.5971 0 TD
(;)Tj
/F9 1 Tf
0.4436 0 TD
(T)Tj
/F2 1 Tf
0.7236 0 TD
[(\))-416.9(a)0.4(nd)-417.4(\()]TJ
/F9 1 Tf
3.2224 0 TD
(f)Tj
/F7 1 Tf
6.9738 0 0 6.9738 197.316 380.658 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 200.115 377.04 Tm
(;)Tj
/F9 1 Tf
0.4436 0 TD
(T)Tj
/F7 1 Tf
6.9738 0 0 6.9738 211.743 380.658 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 214.542 377.04 Tm
-0.0002 Tc
[(\))-416.2(h)-0.2(a)28.2(v)28(e)-417.6(t)0.2(he)-417.6(same)]TJ
-17.4288 -1.3 TD
-0.0001 Tc
[(t)28.3(y)0.1(p)-28.1(e)-346.1(if)-345.9(and)-345.2(o)0.3(nly)-346.8(i)0.3(f)-345.9(t)0.3(he)-345.2(trellises)]TJ
/F9 1 Tf
13.6529 0 TD
0 Tc
(T)Tj
/F2 1 Tf
1.0687 0 TD
-0.0002 Tc
(and)Tj
/F9 1 Tf
1.9567 0 TD
0 Tc
(T)Tj
/F7 1 Tf
6.9738 0 0 6.9738 214.272 367.707 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 220.5 364.0891 Tm
-0.0002 Tc
[(are)-345.3(h)-0.2(omeomor-)]TJ
-18.0268 -1.3 TD
-0.0001 Tc
[(phic,)-400.8(and)-387.7(t)0.3(his)-388(o)-27.7(ccurs)-386.2(i)0.3(f)-387.4(a)0.3(nd)-387.7(only)-388.4(if)-387.4(the)-386.8(o)0.3(rderings)-388(of)-387.4(the)]TJ
T*
-0.0002 Tc
[(in)27.8(tersections)-246.3(o)0.2(n)-245(t)0.2(he)-245(stable)-245.9(and)-245(unstable)-245(manifolds)-247.2(a)0.2(re)-245(the)]TJ
T*
-0.0001 Tc
(same.)Tj
/F3 1 Tf
0 -2.5999 TD
[(Denition)-331.2(3)0.3(.14.)-500.8(\(Intersection)-329.4(o)0.3(r)17.6(dering.\))]TJ
/F2 1 Tf
18.8013 0 TD
0.0001 Tc
[(Let)-385.2(\()]TJ
/F9 1 Tf
2.2323 0 TD
0 Tc
(f)Tj
/F2 1 Tf
0.5971 0 TD
(;)Tj
/F9 1 Tf
0.4436 0 TD
(T)Tj
/F2 1 Tf
0.7236 0 TD
0.3862 Tc
[(\)b)358.2(e)]TJ
-22.7978 -1.3 TD
-0.0001 Tc
[(a)-467.6(h)-0.1(orsesho)-27.7(e)-466.3(trellis,)-501.9(with)-468.1(in)27.9(tersections)]TJ
/F9 1 Tf
17.1833 0 TD
0 Tc
(T)Tj
/F10 1 Tf
6.9738 0 0 6.9738 219.303 289.992 Tm
(V)Tj
/F2 1 Tf
9.9626 0 0 9.9626 231.21 286.383 Tm
(=)Tj
/F13 1 Tf
1.2783 0 TD
({)Tj
/F9 1 Tf
0.4996 0 TD
(v)Tj
/F10 1 Tf
6.9738 0 0 6.9738 253.755 284.889 Tm
(i)Tj
/F2 1 Tf
9.9626 0 0 9.9626 262.062 286.383 Tm
(:)Tj
/F9 1 Tf
0.7787 0 TD
(i)Tj
/F2 1 Tf
0.8447 0 TD
(=)Tj
-23.822 -1.3 TD
(0)Tj
/F9 1 Tf
0.6658 0 TD
0.167 Tc
(...n)Tj
/F13 1 Tf
2.216 0 TD
0 Tc
()Tj
/F2 1 Tf
1.0597 0 TD
(1)Tj
/F13 1 Tf
0.4996 0 TD
(})Tj
/F2 1 Tf
0.9224 0 TD
-0.0002 Tc
[(suc)27.8(h)-423(that)]TJ
/F9 1 Tf
4.6009 0 TD
0 Tc
(v)Tj
/F10 1 Tf
6.9738 0 0 6.9738 145.008 271.938 Tm
(i)Tj
/F9 1 Tf
9.9626 0 0 9.9626 152.559 273.4321 Tm
(<)Tj
/F10 1 Tf
6.9738 0 0 6.9738 160.308 271.938 Tm
(u)Tj
/F9 1 Tf
9.9626 0 0 9.9626 169.767 273.4321 Tm
(v)Tj
/F10 1 Tf
6.9738 0 0 6.9738 174.6 271.938 Tm
(i)Tj
/F6 1 Tf
0.4039 0 TD
0.0006 Tc
(+1)Tj
/F2 1 Tf
9.9626 0 0 9.9626 192.204 273.4321 Tm
-0.0003 Tc
(\(i.e.,)Tj
/F9 1 Tf
2.3895 0 TD
0 Tc
(v)Tj
/F10 1 Tf
6.9738 0 0 6.9738 220.842 271.938 Tm
(i)Tj
/F2 1 Tf
9.9626 0 0 9.9626 228.357 273.4321 Tm
-0.0002 Tc
[(is)-423.3(closer)-423.4(to)]TJ
/F9 1 Tf
5.2812 0 TD
0 Tc
(p)Tj
/F2 1 Tf
-24.0967 -1.3 TD
-0.0002 Tc
[(along)-308.7(t)0.2(he)-308.3(unstable)-309.2(manifold\).)-438.8(Then)-307.4(the)]TJ
/F11 1 Tf
17.5067 0 TD
-0.0001 Tc
[(r)51.2(e)0.1(lative)-335.1(or)51.2(dering)]TJ
/F2 1 Tf
-17.5067 -1.3 TD
-0.0002 Tc
[(of)-364.1(the)-364.3(s)-0.5(table)-365.2(and)-363.4(unstable)-365.2(manifolds)-365.5(i)0.2(s)-364.6(t)0.2(he)-364.3(p)-28.2(e)-0.2(rm)28.2(utation)]TJ
/F9 1 Tf
T*
0 Tc
()Tj
/F10 1 Tf
6.9738 0 0 6.9738 46.584 233.085 Tm
(T)Tj
/F2 1 Tf
9.9626 0 0 9.9626 55.161 234.579 Tm
-0.0002 Tc
[(suc)27.8(h)-231.5(that)]TJ
/F9 1 Tf
4.2179 0 TD
0 Tc
(v)Tj
/F10 1 Tf
6.9738 0 0 6.9738 102.015 232.779 Tm
()Tj
/F22 1 Tf
4.9813 0 0 4.9813 106.677 231.78 Tm
(T)Tj
/F6 1 Tf
6.9738 0 0 6.9738 112.185 232.779 Tm
(\()Tj
/F10 1 Tf
0.4465 0 TD
(i)Tj
/F6 1 Tf
0.4039 0 TD
(\))Tj
/F9 1 Tf
9.9626 0 0 9.9626 124.497 234.579 Tm
(<)Tj
/F10 1 Tf
6.9738 0 0 6.9738 132.246 233.085 Tm
(s)Tj
/F9 1 Tf
9.9626 0 0 9.9626 139.266 234.579 Tm
(v)Tj
/F10 1 Tf
6.9738 0 0 6.9738 144.099 232.779 Tm
()Tj
/F22 1 Tf
4.9813 0 0 4.9813 148.761 231.78 Tm
(T)Tj
/F6 1 Tf
6.9738 0 0 6.9738 154.269 232.779 Tm
(\()Tj
/F10 1 Tf
0.4465 0 TD
(j)Tj
/F6 1 Tf
0.5304 0 TD
(\))Tj
/F2 1 Tf
9.9626 0 0 9.9626 166.995 234.579 Tm
-0.0003 Tc
[(if)-231.4(and)-232.5(o)0.1(nly)-232.3(i)0.1(f)]TJ
/F9 1 Tf
5.5639 0 TD
0 Tc
()Tj
/F10 1 Tf
6.9738 0 0 6.9738 228.105 233.085 Tm
(T)Tj
/F2 1 Tf
9.9626 0 0 9.9626 234.378 234.579 Tm
(\()Tj
/F9 1 Tf
0.3885 0 TD
(i)Tj
/F2 1 Tf
0.3442 0 TD
(\))Tj
/F9 1 Tf
0.6676 0 TD
0.2774 Tc
(<)Tj
/F10 1 Tf
6.9738 0 0 6.9738 264.519 233.085 Tm
0 Tc
(T)Tj
/F2 1 Tf
9.9626 0 0 9.9626 270.801 234.579 Tm
(\()Tj
/F9 1 Tf
0.3885 0 TD
(j)Tj
/F2 1 Tf
0.4689 0 TD
-0.0004 Tc
(\).)Tj
-22.7334 -2.6008 TD
-0.0002 Tc
[(The)-400.4(f)0(ollo)28.2(wing)-401.8(r)-0.6(esult)-400(giv)28(es)-399.8(a)-400(c)-0.2(omputable)-401.3(criterion)-400.4(for)]TJ
-1.1997 -1.3 TD
-0.0001 Tc
[(the)-333.5(e)-0.1(quiv)55.2(alence)-335.3(of)-333.2(horsesho)-27.7(e)-333.5(t)0.3(rellises.)]TJ
/F3 1 Tf
0 -2.5999 TD
-0.0003 Tc
[(T)37.2(heor)11.1(em)-255.9(3.15.)]TJ
/F11 1 Tf
6.6561 0 TD
-0.0518 Tc
[(Le)-51.6(t)]TJ
/F9 1 Tf
1.6902 0 TD
0 Tc
(T)Tj
/F11 1 Tf
1.0452 0 TD
-0.0001 Tc
(and)Tj
/F9 1 Tf
1.9052 0 TD
0 Tc
(T)Tj
/F7 1 Tf
6.9738 0 0 6.9738 160.659 173.4331 Tm
()Tj
/F11 1 Tf
9.9626 0 0 9.9626 166.662 169.8151 Tm
0.0001 Tc
[(b)51.8(e)-321.3(horsesho)51.4(e)-320.4(t)-0.1(r)51.4(e)0.3(l)-51.5(l)0(ises.)-447.6(T)0.2(hen)]TJ
/F9 1 Tf
-12.6229 -1.3 TD
0 Tc
(T)Tj
/F11 1 Tf
1.1166 0 TD
-0.0001 Tc
(and)Tj
/F9 1 Tf
1.9784 0 TD
0 Tc
(T)Tj
/F7 1 Tf
6.9738 0 0 6.9738 78.948 160.482 Tm
()Tj
/F11 1 Tf
9.9626 0 0 9.9626 85.653 156.864 Tm
-0.0001 Tc
[(have)-393.8(the)-392.9(same)-392.9(tr)51.2(el)-51.7(lis)-393.4(t)-0.3(yp)51.2(e)-394.7(i)0.3(f)-393.6(a)-0.3(nd)-393.3(only)-394.4(if)]TJ
/F9 1 Tf
17.7885 0 TD
0 Tc
()Tj
/F10 1 Tf
6.9738 0 0 6.9738 268.551 155.3701 Tm
(T)Tj
/F2 1 Tf
9.9626 0 0 9.9626 278.235 156.864 Tm
(=)Tj
/F9 1 Tf
-23.822 -1.3 TD
()Tj
/F10 1 Tf
6.9738 0 0 6.9738 46.584 142.419 Tm
(T)Tj
/F23 1 Tf
4.9813 0 0 4.9813 52.362 144.417 Tm
()Tj
/F11 1 Tf
9.9626 0 0 9.9626 55.557 143.9131 Tm
(.)Tj
/F2 1 Tf
-0.271 -2.5999 TD
-0.0002 Tc
[(The)-527.8(f)0(ollo)28.2(wing)-529.1(r)-0.6(esult)-527.3(i)0.2(s)-527.2(immediate)-528.7(from)-527.4(Theorem)-527.4(2)]TJ
-1.1997 -1.3 TD
-0.0003 Tc
[(of)-374.1([Collins)-375.5(04a])-374.8(and)-374.3(s)-0.6(ho)28.1(ws)-373.7(that)-374.8(a)-373(h)-0.3(omo)-27.9(clinic)-376.1(braid)-374.3(t)28.1(y)-0.1(p)-28.3(e)]TJ
T*
-0.0002 Tc
[(is)-342.9(determined)-343.5(b)27.8(y)-342.4(the)-343.5(g)0.2(eometry)-343.3(o)0.2(f)-343.3(t)0.2(he)-342.6(trellis)-343.8(obtained)-344.4(b)27.8(y)]TJ
T*
[(pruning)-353(up)-353.4(to)-353(the)-353.4(giv)28(en)-354.4(orbit.)-503.8(In)-353.4(particular,)-359.3(h)-0.2(omo)-27.8(clinic)]TJ
26.4002 63.8 TD
[(orbits)-286(can)-286.6(o)0.2(nly)-286.4(h)-0.2(a)28.2(v)28(e)-286.6(t)0.2(he)-285.7(same)-285.7(braid)-286.6(t)28.2(y)0(p)-28.2(e)-285.7(if)-286.4(they)-286.4(ha)28.2(v)28(e)-286.6(the)]TJ
0 -1.3 TD
[(same)-333.6(signature)-334.5(\(i.e.,)-335.8(their)-334(c)-0.2(ores)-333.9(ha)28.2(v)28(e)-334.5(the)-334.5(s)-0.5(ame)-333.6(length\).)]TJ
/F3 1 Tf
0 -2.5999 TD
-0.0003 Tc
[(T)37.2(heor)11.1(em)-388.7(3.16.)]TJ
/F11 1 Tf
7.1232 0 TD
-0.0518 Tc
[(Le)-51.6(t)]TJ
/F9 1 Tf
1.8257 0 TD
0 Tc
(H)Tj
/F11 1 Tf
1.3704 0 TD
-0.0001 Tc
(and)Tj
/F9 1 Tf
2.0416 0 TD
0 Tc
(H)Tj
/F7 1 Tf
6.9738 0 0 6.9738 436.158 679.5391 Tm
()Tj
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[(through)-441(t)0.3(he)-441(pruning.)-765.7(T)0.3(h)27.9(u)-0.1(s)-441.3(i)0.3(t)-440.5(i)0.3(s)-441.3(necessary)-439.8(to)-440.5(compute)]TJ
T*
-0.0002 Tc
[(equiv)55.1(alences)-498.3(in)-498(order)-497.5(to)-498.4(b)-28.2(e)-497.1(able)-498(to)-497.5(compute)-498.9(t)0.2(he)-498(forc-)]TJ
T*
[(ing)-396.4(r)-0.6(elation.)-633(H)0(ence,)-411.7(to)-396.4(compute)-396.8(w)0.2(hether)-397.2(BT\()]TJ
/F9 1 Tf
20.4219 0 TD
0 Tc
(H)Tj
/F2 1 Tf
0.9124 0 TD
[(\))-396.1(f)0.2(orces)]TJ
-21.3344 -1.3 TD
0.0002 Tc
(BT\()Tj
/F9 1 Tf
1.8194 0 TD
0 Tc
(H)Tj
/F7 1 Tf
6.9738 0 0 6.9738 90.216 588.873 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 93.015 585.264 Tm
0.0001 Tc
[(\))-224.4(w)0.5(here)]TJ
/F9 1 Tf
3.3967 0 TD
0 Tc
(H)Tj
/F2 1 Tf
1.1374 0 TD
-0.0001 Tc
[(has)-225.4(s)-0.4(ignature)]TJ
/F9 1 Tf
5.9081 0 TD
0 Tc
(n)Tj
/F2 1 Tf
0.8248 0 TD
-0.0002 Tc
(and)Tj
/F9 1 Tf
1.8357 0 TD
0 Tc
(H)Tj
/F7 1 Tf
6.9738 0 0 6.9738 232.641 588.873 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 237.681 585.264 Tm
-0.0001 Tc
[(has)-225.4(s)-0.4(ignature)]TJ
/F9 1 Tf
5.9081 0 TD
0 Tc
(n)Tj
/F7 1 Tf
6.9738 0 0 6.9738 302.517 588.873 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 305.316 585.264 Tm
(,)Tj
-24.3225 -1.3 TD
-0.0002 Tc
[(w)28.2(e)-337.2(need)-336.3(to)-336.7(compute)-337.2(all)-337.6(trellises)-336.6(of)-336.9(signature)]TJ
/F9 1 Tf
19.5998 0 TD
0 Tc
(n)Tj
/F7 1 Tf
6.9738 0 0 6.9738 264.24 575.922 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 270.387 572.313 Tm
-0.0001 Tc
[(to)-336.6(deter-)]TJ
-20.8165 -1.3009 TD
-0.0002 Tc
[(mine)-295.6(t)0.2(he)-295.6(equiv)55.1(alence)-296.5(relation)-296.5(on)-295.6(braid)-294.7(t)28.2(y)0(p)-28.2(e)-0.2(s)-295.9(o)0.2(f)-295.4(s)-0.5(ignature)]TJ
/F9 1 Tf
0 -1.3 TD
0 Tc
(n)Tj
/F7 1 Tf
6.9738 0 0 6.9738 68.976 550.02 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 71.775 546.402 Tm
-0.0002 Tc
[(.)-494.8(W)82.6(e)-348.9(t)0.2(hen)-350.7(compute)-351.6(t)0.2(he)-350.7(trellis)-351(of)-350.5(signature)-351.6(max)]TJ
/F13 1 Tf
20.7941 0 TD
0 Tc
({)Tj
/F9 1 Tf
0.4996 0 TD
-0.0004 Tc
[(n,)-166.2(n)]TJ
/F7 1 Tf
6.9738 0 0 6.9738 300.285 550.02 Tm
0 Tc
()Tj
/F13 1 Tf
9.9626 0 0 9.9626 303.102 546.402 Tm
(})Tj
/F2 1 Tf
-24.1002 -1.3 TD
[(forced)-241.2(b)28(y)]TJ
/F9 1 Tf
4.18 0 TD
(H)Tj
/F2 1 Tf
0.9124 0 TD
-0.0002 Tc
[(,)-259(a)0.2(nd)-242.3(determine)-242.3(i)0.2(f)-241.2(i)0.2(t)-241.9(c)-0.2(on)27.8(tains)-243.5(a)0.2(n)-241.4(o)0.2(rbit)-241.9(of)-242.1(braid)]TJ
-5.0924 -1.3 TD
-0.0284 Tc
[(ty)-28.2(p)-56.4(e)-362.7(B)-28.3(T)-28(\()]TJ
/F9 1 Tf
4.0689 0 TD
0 Tc
(n)Tj
/F7 1 Tf
6.9738 0 0 6.9738 109.512 524.118 Tm
()Tj
/F2 1 Tf
9.9626 0 0 9.9626 112.32 520.5 Tm
-0.0004 Tc
(\).)Tj
-3.7508 -1.3 TD
-0.0002 Tc
[(The)-247.7(top)-28.2(ological)-249.1(en)27.8(trop)27.8(y)-247.5(f)0(orced)-246.8(b)27.8(y)-247.5(the)-246.8(h)-0.2(omo)-27.8(clinic)-248.6(orbit)]TJ
-1.1997 -1.3 TD
[(of)-300.8(a)-301.5(giv)28(en)-302(braid)-301.1(t)28.2(y)0(p)-28.2(e)-301(w)28.2(a)0.2(s)-302.3(c)-0.2(omputed)-302(b)27.8(y)-300.8(nding)-301.5(the)-301(g)0.2(raph)]TJ
T*
[(represen)27.8(tativ)28(e,)-334.9(as)-333.9(detailed)-335.4(i)0.2(n)-333.6([Collins)-336.6(02,)-334(Collins)-335.7(04a].)]TJ
/F3 1 Tf
0 -2.7327 TD
-0.0001 Tc
[(4.2)-1200.3(I)-0.4(mplementation)-279.7(o)0.3(f)-277.7(P)0.3(runing)]TJ
/F2 1 Tf
0 -1.4002 TD
-0.0003 Tc
[(The)-304.8(most)-306.1(n)-0.3(atural)-305.2(implemen)27.7(tation)-308.4(of)-305.4(a)-305.2(t)0.1(rellis)-306(t)28.1(y)-0.1(p)-28.3(e)-304.8(is)-306(as)-305.1(a)]TJ
0 -1.1003 TD
-0.0002 Tc
[(list)-391.8(o)0.2(f)-392.1(v)28(ertices)-391.7(with)-392.3(image)-393.2(information.)-620.4(A)0(n)-391.4(i)0.2(n)27.8(t)0.2(ersection)]TJ
T*
0 Tc
[(can)-333.4(b)-28(e)-333.4(r)-0.4(epresen)28(ted)-332.5(a)0.4(s)-334.6(b)-28(elo)28.4(w)0.4(.)]TJ
/F24 1 Tf
8.9664 0 0 8.9664 63 397.299 Tm
[(class)-524.9(Intersection)-525.9(is)]TJ
1.0499 -1.2226 TD
[(Orientation)-524.9(orientation;)]TJ
0 -1.2216 TD
[(Intersection)-524.9(previous)]TJ
ET
0 0 0 1 K
0 J 0 j 0.405 w 10 M []0 d
1 i
171.828 375.587 m
174.654 375.587 l
S
BT
8.9664 0 0 8.9664 174.6523 375.384 Tm
(unstable;)Tj
-11.4024 -1.2226 TD
[(Intersection)-524.9(next)]TJ
ET
153 364.625 m
155.826 364.625 l
S
BT
8.9664 0 0 8.9664 155.8246 364.422 Tm
(unstable;)Tj
-9.3026 -1.2226 TD
[(Intersection)-524.9(previous)]TJ
ET
171.828 353.663 m
174.654 353.663 l
S
BT
8.9664 0 0 8.9664 174.6523 353.4601 Tm
(stable;)Tj
-11.4024 -1.2216 TD
[(Intersection)-524.9(next)]TJ
ET
153 342.71 m
155.826 342.71 l
S
BT
8.9664 0 0 8.9664 155.8246 342.507 Tm
(stable;)Tj
-9.3026 -1.2226 TD
[(Intersection)-524.9(preimage;)]TJ
T*
[(Intersection)-524.9(image;)]TJ
-1.0499 -1.2216 TD
(end;)Tj
/F2 1 Tf
9.9626 0 0 9.9626 63 286.383 Tm
-0.0001 Tc
[(Here,)-575.1(e)-0.1(ac)27.9(h)]TJ
/F12 1 Tf
5.3282 0 TD
(Intersection)Tj
/F2 1 Tf
6.8269 0 TD
-0.0002 Tc
[(data)-528.2(elemen)27.8(t)-528.2(i)0.2(s)-528.1(a)]TJ
/F11 1 Tf
8.5867 0 TD
-0.0513 Tc
[(re)-51.1(f)-50.9(e)-51.1(re)-51.1(n)-51(c)0.4(e)]TJ
/F2 1 Tf
-20.7417 -1.3 TD
-0.0002 Tc
[(to)-525.5(another)-526.4(in)27.8(tersection,)-574.3(w)0.2(hic)27.8(h)-526(ma)28.2(y)-526.7(b)-28.2(e)]TJ
/F12 1 Tf
18.1246 0 TD
-0.0001 Tc
(void)Tj
/F2 1 Tf
2.0995 0 TD
[(,)-573.3(a)0.3(nd)-525.9(the)]TJ
/F12 1 Tf
-20.2241 -1.3 TD
(orientation)Tj
/F2 1 Tf
6.2731 0 TD
-0.0002 Tc
[(is)-499.2(either)-499.3(p)-28.2(o)0.2(sitiv)28(e)-499.8(o)0.2(r)-499.3(negativ)28(e,)-541.8(dep)-28.2(ending)]TJ
-6.2731 -1.3 TD
[(on)-510.6(the)-510.6(o)0.2(rien)27.8(tation)-513.3(of)-510.4(the)-510.6(i)0.2(n)27.8(t)0.2(ersections)-511.8(o)0.2(f)-511.3(t)0.2(he)-510.6(p)-28.2(e)-0.2(rio)-27.8(d)-0.2(ic)]TJ
T*
[(orbit.)-677.3(W)82.6(e)-410.4(remark)-410.1(t)0.2(hat,)-431.6(this)-411.6(con)27.8(tains)-412.5(more)-411.3(i)0.2(nformation)]TJ
T*
-0.0001 Tc
[(than)-360.6(is)-360.9(needed)-359.7(to)-361(sp)-28.1(ecify)-359.4(the)-360.6(t)0.3(rellis)-361.8(structure;)-372.8(it)-361(suces)]TJ
0 -1.3009 TD
[(to)-274.3(store)-273.8(t)0.3(he)]TJ
/F12 1 Tf
5.218 0 TD
(next)Tj
ET
136.53 208.871 m
139.671 208.871 l
S
BT
9.9626 0 0 9.9626 139.6718 208.6681 Tm
(unstable)Tj
/F2 1 Tf
4.1989 0 TD
0 Tc
(,)Tj
/F12 1 Tf
0.5646 0 TD
-0.0001 Tc
(next)Tj
ET
208.674 208.871 m
211.815 208.871 l
S
BT
9.9626 0 0 9.9626 211.8167 208.6681 Tm
(stable)Tj
/F2 1 Tf
3.1492 0 TD
0.2859 Tc
[(,a)286.3(n)285.9(d)]TJ
/F12 1 Tf
2.4482 0 TD
-0.0001 Tc
(image)Tj
/F2 1 Tf
2.899 0 TD
-0.0002 Tc
(in-)Tj
-23.4338 -1.3 TD
-0.0001 Tc
[(tersections.)-416.1(Ho)28.3(w)28.3(e)-0.1(v)28.1(e)-0.1(r,)-266.2(at)-247.2(least)-247.2(o)0.3(ne)-246.7(of)]TJ
/F12 1 Tf
15.8219 0 TD
(previous)Tj
ET
263.088 195.92 m
266.229 195.92 l
S
BT
9.9626 0 0 9.9626 266.2404 195.717 Tm
(unstable)Tj
/F2 1 Tf
-20.4003 -1.3 TD
-0.0004 Tc
(or)Tj
/F12 1 Tf
1.3198 0 TD
-0.0001 Tc
(previous)Tj
ET
118.611 182.969 m
121.752 182.969 l
S
BT
9.9626 0 0 9.9626 121.7527 182.766 Tm
(stable)Tj
/F2 1 Tf
3.5783 0 TD
-0.0002 Tc
[(is)-428.7(required)-427.5(for)-428.8(t)0.2(he)-428.4(algorithm,)-455.1(and)]TJ
/F12 1 Tf
-9.4756 -1.3 TD
-0.0001 Tc
(preimage)Tj
/F2 1 Tf
4.656 0 TD
-0.0002 Tc
[(is)-457.6(useful)-456(for)-457.7(g)0.2(eneral)-456.9(trellises.)-814.6(N)0(ote)-457.3(that)-457.8(the)]TJ
-4.656 -1.3 TD
[(orien)27.8(tations)-442.3(f)0(or)-440.5(horsesho)-27.8(e)-439.3(t)0.2(rellises)-440.5(alw)28.2(a)28.2(y)0(s)-441.4(alternate)-442(b)-28.2(e)-0.2(-)]TJ
T*
[(t)28.2(w)28.2(een)-334.5(p)-28.2(o)0.2(sitiv)28(e)-335.4(a)0.2(nd)-334.5(negativ)28(e.)]TJ
1.1997 -1.3 TD
-0.0001 Tc
[(The)-497(main)-497.9(pro)-27.7(cedure)-495.2(needs)-496.4(to)-496.5(detect)-496.5(and)-497(p)-0.1(rune)-496.1(in-)]TJ
-1.1997 -1.3 TD
[(ner)-437.7(bigons,)-465.8(as)-437.7(sho)28.3(w)0.3(n)-439.2(i)0.3(n)-438.3(F)-0.5(igure)-438.3(3\(a\).)-760.3(Detecting)-438.7(b)-0.1(igons)]TJ
T*
-0.0002 Tc
[(and)-354.4(i)0.2(nner)-353.8(bigons)-354.7(c)-0.2(an)-354.4(b)-28.2(e)-353.4(accomplished)-355.3(b)27.8(y)-354.1(the)-354.3(p)-0.2(redicates)]TJ
/F12 1 Tf
T*
-0.0001 Tc
(is)Tj
ET
74.088 92.312 m
77.229 92.312 l
S
BT
9.9626 0 0 9.9626 77.2291 92.109 Tm
(bigon)Tj
/F2 1 Tf
3.0182 0 TD
-0.0002 Tc
(and)Tj
/F12 1 Tf
2.0046 0 TD
-0.0001 Tc
(is)Tj
ET
138.357 92.312 m
141.498 92.312 l
S
BT
9.9626 0 0 9.9626 141.4988 92.109 Tm
(inner)Tj
ET
168.273 92.312 m
171.414 92.312 l
S
BT
9.9626 0 0 9.9626 171.4151 92.109 Tm
(bigon)Tj
/F2 1 Tf
2.6243 0 TD
[(.)-625.7(W)82.7(e)-393.1(a)0.3(ssume)-394(throughout)]TJ
-13.5065 -1.3 TD
-0.0002 Tc
[(that)-334(the)-334.5(f)0(unction)-334.5(argumen)27.8(t)0.2(s)-335.7(a)0.2(re)-333.6(not)]TJ
/F12 1 Tf
16.1227 0 TD
-0.0001 Tc
(void)Tj
/F2 1 Tf
2.0995 0 TD
0 Tc
(.)Tj
/F24 1 Tf
8.9664 0 0 8.9664 326.016 714.774 Tm
[(bool)-524.9(i)0(s)]TJ
ET
359.532 714.977 m
362.358 714.977 l
S
BT
8.9664 0 0 8.9664 362.3575 714.774 Tm
[(bigon\(Intersection)-524.9(a,)-524.9(Intersection)-525.9(b\))-524.9(is)]TJ
-3.0032 -1.2226 TD
[(return\()-524.9(\(a.next)]TJ
ET
406.602 704.015 m
409.428 704.015 l
S
BT
8.9664 0 0 8.9664 409.4268 703.812 Tm
[(unstable==b)-524.9(or)-524.9(b.next)]TJ
ET
508.842 704.015 m
511.668 704.015 l
S
BT
8.9664 0 0 8.9664 511.6652 703.812 Tm
(unstable==a\))Tj
-18.6052 -1.2216 TD
[(and)-524.9(\()0.1(a.next)]TJ
ET
397.188 693.062 m
400.014 693.062 l
S
BT
8.9664 0 0 8.9664 400.0132 692.859 Tm
[(stable==b)-524.9(or)-524.9(b.next)]TJ
ET
490.014 693.062 m
492.84 693.062 l
S
BT
8.9664 0 0 8.9664 492.8377 692.859 Tm
[(stable==a\))-524.9(\);)]TJ
-18.6053 -1.2226 TD
(end;)Tj
0 -2.4441 TD
[(bool)-524.9(i)0(s)]TJ
ET
359.532 660.185 m
362.358 660.185 l
S
BT
8.9664 0 0 8.9664 362.3575 659.9821 Tm
(inner)Tj
ET
386.46 660.185 m
389.286 660.185 l
S
BT
8.9664 0 0 8.9664 389.2761 659.9821 Tm
[(bigon\(Intersection)-525.9(a,)]TJ
-4.9554 -1.2226 TD
[(Intersection)-524.9(b\))-524.9(is)]TJ
-1.0499 -1.2226 TD
[(/*)-524.9(assume)-524.9(a.preimage==void)-525.9(and)-524.9(b.preimage==void)-524.9(*/)]TJ
0 -1.2216 TD
[(while\(true\))-524.9(do)]TJ
1.0499 -1.2226 TD
[(if\(a==void)-524.9(and)-524.9(b)0.1(==void\))-525.9(then)-524.9(r)0.1(eturn)-524.9(t)0.1(rue;)-524.9(end;)]TJ
T*
[(if)-524.9(not)-524.9(i)0(s)]TJ
ET
387.774 605.384 m
390.6 605.384 l
S
BT
8.9664 0 0 8.9664 390.5994 605.181 Tm
[(bigon\(a,b\)\))-524.9(then)-524.9(return)-525.9(false;)-524.9(end;)]TJ
-5.103 -1.2216 TD
(a:=a.image;)Tj
0 -1.2226 TD
(b:=b.image;)Tj
-1.0499 -1.2216 TD
(end;)Tj
-1.0499 -1.2226 TD
(end;)Tj
/F2 1 Tf
9.9626 0 0 9.9626 337.968 530.022 Tm
[(The)-1002.8(p)0(runing)-1002.3(is)-1003.1(p)-28(e)0(rformed)-1001.9(b)28(y)-1002.5(t)0.4(he)-1002.8(pro)-27.6(cedures)]TJ
/F12 1 Tf
-1.1997 -1.1003 TD
-0.0001 Tc
(prune)Tj
ET
352.791 519.263 m
355.932 519.263 l
S
BT
9.9626 0 0 9.9626 355.9323 519.0601 Tm
(bigon)Tj
/F2 1 Tf
3.0905 0 TD
-0.0002 Tc
(and)Tj
/F12 1 Tf
2.076 0 TD
-0.0001 Tc
(prune)Tj
ET
434.178 519.263 m
437.319 519.263 l
S
BT
9.9626 0 0 9.9626 437.3202 519.0601 Tm
(inner)Tj
ET
464.094 519.263 m
467.235 519.263 l
S
BT
9.9626 0 0 9.9626 467.2366 519.0601 Tm
(bigon)Tj
/F2 1 Tf
3.0905 0 TD
[(describ)-28.1(ed)-464.5(b)-28.1(e)-0.1(lo)28.3(w.)]TJ
-17.2655 -1.0994 TD
[(The)-274.8(v)28.1(ertices)]TJ
/F12 1 Tf
5.5567 0 TD
0 Tc
(a)Tj
/F2 1 Tf
0.7986 0 TD
-0.0002 Tc
(and)Tj
/F12 1 Tf
1.8854 0 TD
0 Tc
(b)Tj
/F2 1 Tf
0.7986 0 TD
-0.0002 Tc
[(are)-274.9(deleted)-274.9(follo)28.2(wing)-277.1(a)]TJ
/F12 1 Tf
9.9327 0 TD
-0.0001 Tc
(prune)Tj
ET
541.8 508.31 m
544.941 508.31 l
S
BT
9.9626 0 0 9.9626 544.9435 508.107 Tm
(bigon)Tj
/F2 1 Tf
-21.9748 -1.1003 TD
-0.0002 Tc
(function.)Tj
/F24 1 Tf
8.9664 0 0 8.9664 326.016 478.659 Tm
0 Tc
(prune)Tj
ET
350.118 478.862 m
352.944 478.862 l
S
BT
8.9664 0 0 8.9664 352.9346 478.659 Tm
[(bigon\(Intersection)-525.9(a)0(,)-524.9(I)0(ntersection)-525.9(b\))-524.9(is)]TJ
-1.9523 -1.2226 TD
[(/*)-524.9(assume)-524.9(is)]TJ
ET
392.481 467.9 m
395.307 467.9 l
S
BT
8.9664 0 0 8.9664 395.3062 467.697 Tm
[(bigon\(a,b\))-524.9(*/)]TJ
-6.6779 -1.2216 TD
(if\(a.next)Tj
ET
378.36 456.947 m
381.186 456.947 l
S
BT
8.9664 0 0 8.9664 381.1852 456.744 Tm
[(unstable!=b\))-524.9(then)-524.9(swap\(a,b\))-525.9(end;)]TJ
-5.103 -1.2226 TD
(a.previous)Tj
ET
383.067 445.985 m
385.893 445.985 l
S
BT
8.9664 0 0 8.9664 385.8922 445.782 Tm
(unstable.next)Tj
ET
447.651 445.985 m
450.477 445.985 l
S
BT
8.9664 0 0 8.9664 450.4751 445.782 Tm
(unstable:=)Tj
-11.7808 -1.2226 TD
(b.next)Tj
ET
373.653 435.023 m
376.479 435.023 l
S
BT
8.9664 0 0 8.9664 376.4785 434.82 Tm
(unstable;)Tj
-4.5781 -1.2216 TD
(b.next)Tj
ET
364.239 424.07 m
367.065 424.07 l
S
BT
8.9664 0 0 8.9664 367.0645 423.867 Tm
(unstable.previous)Tj
ET
447.651 424.07 m
450.477 424.07 l
S
BT
8.9664 0 0 8.9664 450.475 423.867 Tm
(unstable:=)Tj
-11.7808 -1.2226 TD
(a.previous)Tj
ET
392.481 413.108 m
395.307 413.108 l
S
BT
8.9664 0 0 8.9664 395.3062 412.905 Tm
(unstable;)Tj
-6.6779 -2.4441 TD
(if\(a.next)Tj
ET
378.36 391.193 m
381.186 391.193 l
S
BT
8.9664 0 0 8.9664 381.1852 390.9901 Tm
[(stable!=b\))-524.9(then)-524.9(swap\(a,b\))-525.9(end;)]TJ
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132.091 140.949 m
135.845 140.949 l
135.845 147.539 l
133.968 142.534 l
132.091 147.539 l
W* n
1.251 w
133.968 147.206 m
133.968 141.575 l
S
Q
132.091 147.539 m
133.968 142.534 l
135.845 147.539 l
S
q
41.355 120.527 243.676 86.081 re
W n
1.251 w
152.738 137.821 m
152.738 182.867 l
160.245 137.821 m
160.245 182.867 l
179.015 137.821 m
179.015 182.867 l
145.23 137.821 m
145.23 182.867 l
141.476 137.821 m
141.476 182.867 l
167.753 137.821 m
167.753 182.867 l
171.507 137.821 m
171.507 182.867 l
261.6 137.821 m
261.6 132.641 257.395 128.436 252.215 128.436 c
247.035 128.436 242.83 132.641 242.83 137.821 c
216.553 182.867 m
216.553 195.3 226.644 205.391 239.077 205.391 c
251.509 205.391 261.6 195.3 261.6 182.867 c
235.323 137.821 m
235.323 135.749 233.641 134.067 231.569 134.067 c
229.497 134.067 227.815 135.749 227.815 137.821 c
235.323 150.96 m
235.323 153.032 237.004 154.713 239.077 154.713 c
241.149 154.713 242.83 153.032 242.83 150.96 c
224.061 171.606 m
224.061 172.642 224.902 173.483 225.938 173.483 c
226.974 173.483 227.815 172.642 227.815 171.606 c
216.553 137.821 m
216.553 182.867 l
S
Q
q
41.355 120.527 243.676 86.081 re
214.676 140.949 m
218.43 140.949 l
218.43 147.539 l
216.553 142.534 l
214.676 147.539 l
W* n
1.251 w
216.553 147.206 m
216.553 141.575 l
S
Q
214.676 147.539 m
216.553 142.534 l
218.43 147.539 l
S
q
41.355 120.527 243.676 86.081 re
W n
1.251 w
235.323 137.821 m
235.323 150.96 l
242.83 137.821 m
242.83 150.96 l
261.6 137.821 m
261.6 182.867 l
227.815 137.821 m
227.815 171.606 l
224.061 137.821 m
224.061 171.606 l
S
0.254 0.254 0.254 RG
0.626 w
51.383 182.867 m
46.203 182.867 41.999 178.663 41.999 173.483 c
41.999 168.302 46.203 164.098 51.383 164.098 c
96.43 156.59 m
98.502 156.59 100.184 158.272 100.184 160.344 c
100.184 162.416 98.502 164.098 96.43 164.098 c
96.43 137.821 m
108.862 137.821 118.953 147.911 118.953 160.344 c
118.953 172.777 108.862 182.867 96.43 182.867 c
96.43 149.083 m
102.646 149.083 107.691 154.128 107.691 160.344 c
107.691 166.561 102.646 171.606 96.43 171.606 c
96.43 145.329 m
104.718 145.329 111.445 152.056 111.445 160.344 c
111.445 168.633 104.718 175.36 96.43 175.36 c
51.383 175.36 m
50.347 175.36 49.506 174.519 49.506 173.483 c
49.506 172.447 50.347 171.606 51.383 171.606 c
51.383 156.59 m
49.311 156.59 47.629 154.909 47.629 152.836 c
47.629 150.764 49.311 149.083 51.383 149.083 c
43.876 137.821 m
96.43 137.821 l
S
Q
q
41.355 120.527 243.676 86.081 re
61.394 135.944 m
61.394 139.698 l
54.804 139.698 l
59.809 137.821 l
54.804 135.944 l
W* n
0.254 0.254 0.254 RG
55.137 137.821 m
60.768 137.821 l
S
Q
0.254 0.254 0.254 RG
54.804 135.944 m
59.809 137.821 l
54.804 139.698 l
51.383 164.098 m
96.43 164.098 l
51.383 182.867 m
96.43 182.867 l
51.383 156.59 m
96.43 156.59 l
51.383 171.606 m
96.43 171.606 l
51.383 175.36 m
96.43 175.36 l
51.383 149.083 m
96.43 149.083 l
49.506 145.329 m
96.43 145.329 l
133.968 182.867 m
128.788 182.867 124.584 178.663 124.584 173.483 c
124.584 168.302 128.788 164.098 133.968 164.098 c
179.015 156.59 m
181.087 156.59 182.769 158.272 182.769 160.344 c
182.769 162.416 181.087 164.098 179.015 164.098 c
179.015 137.821 m
191.447 137.821 201.538 147.911 201.538 160.344 c
201.538 172.777 191.447 182.867 179.015 182.867 c
179.015 149.083 m
185.231 149.083 190.276 154.128 190.276 160.344 c
190.276 166.561 185.231 171.606 179.015 171.606 c
179.015 145.329 m
187.303 145.329 194.03 152.056 194.03 160.344 c
194.03 168.633 187.303 175.36 179.015 175.36 c
133.968 175.36 m
132.932 175.36 132.091 174.519 132.091 173.483 c
132.091 172.447 132.932 171.606 133.968 171.606 c
133.968 156.59 m
131.896 156.59 130.214 154.909 130.214 152.836 c
130.214 150.764 131.896 149.083 133.968 149.083 c
126.461 137.821 m
179.015 137.821 l
S
q
41.355 120.527 243.676 86.081 re
143.979 135.944 m
143.979 139.698 l
137.389 139.698 l
142.394 137.821 l
137.389 135.944 l
W* n
137.722 137.821 m
143.353 137.821 l
S
Q
q
41.355 120.527 243.676 86.081 re
W n
137.389 135.944 m
142.394 137.821 l
137.389 139.698 l
133.968 164.098 m
179.015 164.098 l
133.968 182.867 m
179.015 182.867 l
133.968 156.59 m
179.015 156.59 l
133.968 171.606 m
179.015 171.606 l
133.968 175.36 m
179.015 175.36 l
133.968 149.083 m
179.015 149.083 l
132.091 145.329 m
179.015 145.329 l
216.553 182.867 m
211.373 182.867 207.169 178.663 207.169 173.483 c
207.169 168.302 211.373 164.098 216.553 164.098 c
261.6 137.821 m
274.033 137.821 284.123 147.911 284.123 160.344 c
284.123 172.777 274.033 182.867 261.6 182.867 c
216.553 156.59 m
214.481 156.59 212.799 154.909 212.799 152.836 c
212.799 150.764 214.481 149.083 216.553 149.083 c
229.692 156.59 m
231.764 156.59 233.446 158.272 233.446 160.344 c
233.446 162.416 231.764 164.098 229.692 164.098 c
227.815 175.36 m
226.779 175.36 225.938 174.519 225.938 173.483 c
225.938 172.447 226.779 171.606 227.815 171.606 c
242.83 145.329 m
251.119 145.329 257.846 152.056 257.846 160.344 c
257.846 168.633 251.119 175.36 242.83 175.36 c
242.83 149.083 m
249.047 149.083 254.092 154.128 254.092 160.344 c
254.092 166.561 249.047 171.606 242.83 171.606 c
209.046 137.821 m
261.6 137.821 l
S
Q
q
41.355 120.527 243.676 86.081 re
226.564 135.944 m
226.564 139.698 l
219.974 139.698 l
224.979 137.821 l
219.974 135.944 l
W* n
220.307 137.821 m
225.938 137.821 l
S
Q
219.974 135.944 m
224.979 137.821 l
219.974 139.698 l
216.553 164.098 m
229.692 164.098 l
216.553 182.867 m
261.6 182.867 l
216.553 156.59 m
229.692 156.59 l
227.815 171.606 m
242.83 171.606 l
216.553 149.083 m
242.83 149.083 l
214.676 145.329 m
242.83 145.329 l
227.815 175.36 m
242.83 175.36 l
S
0 0 0 RG
48.881 140.324 m
53.886 135.318 l
53.886 140.324 m
48.881 135.318 l
S
0.313 w
68.276 139.698 m
72.03 135.944 l
72.03 139.698 m
68.276 135.944 l
94.553 139.698 m
98.307 135.944 l
98.307 139.698 m
94.553 135.944 l
49.506 184.744 m
53.26 180.99 l
53.26 184.744 m
49.506 180.99 l
49.506 158.467 m
53.26 154.713 l
53.26 158.467 m
49.506 154.713 l
49.506 147.206 m
53.26 143.452 l
53.26 147.206 m
49.506 143.452 l
57.014 139.698 m
60.768 135.944 l
60.768 139.698 m
57.014 135.944 l
S
1 1 1 rg
56.391 137.82 m
56.391 137.129 55.831 136.569 55.14 136.569 c
54.449 136.569 53.889 137.129 53.889 137.82 c
53.889 138.511 54.449 139.071 55.14 139.071 c
55.831 139.071 56.391 138.511 56.391 137.82 c
b*
67.656 137.82 m
67.656 137.129 67.096 136.569 66.405 136.569 c
65.714 136.569 65.154 137.129 65.154 137.82 c
65.154 138.511 65.714 139.071 66.405 139.071 c
67.096 139.071 67.656 138.511 67.656 137.82 c
b*
82.671 137.82 m
82.671 137.129 82.111 136.569 81.42 136.569 c
80.729 136.569 80.169 137.129 80.169 137.82 c
80.169 138.511 80.729 139.071 81.42 139.071 c
82.111 139.071 82.671 138.511 82.671 137.82 c
b*
86.421 149.085 m
86.421 148.394 85.861 147.834 85.17 147.834 c
84.479 147.834 83.919 148.394 83.919 149.085 c
83.919 149.776 84.479 150.336 85.17 150.336 c
85.861 150.336 86.421 149.776 86.421 149.085 c
b*
52.641 152.835 m
52.641 152.144 52.081 151.584 51.39 151.584 c
50.699 151.584 50.139 152.144 50.139 152.835 c
50.139 153.526 50.699 154.086 51.39 154.086 c
52.081 154.086 52.641 153.526 52.641 152.835 c
b*
67.656 164.1 m
67.656 163.409 67.096 162.849 66.405 162.849 c
65.714 162.849 65.154 163.409 65.154 164.1 c
65.154 164.791 65.714 165.351 66.405 165.351 c
67.096 165.351 67.656 164.791 67.656 164.1 c
b*
97.686 167.85 m
97.686 167.159 97.126 166.599 96.435 166.599 c
95.744 166.599 95.184 167.159 95.184 167.85 c
95.184 168.541 95.744 169.101 96.435 169.101 c
97.126 169.101 97.686 168.541 97.686 167.85 c
b*
93.921 182.865 m
93.921 182.174 93.361 181.614 92.67 181.614 c
91.979 181.614 91.419 182.174 91.419 182.865 c
91.419 183.556 91.979 184.116 92.67 184.116 c
93.361 184.116 93.921 183.556 93.921 182.865 c
b*
78.906 179.115 m
78.906 178.424 78.346 177.864 77.655 177.864 c
76.964 177.864 76.404 178.424 76.404 179.115 c
76.404 179.806 76.964 180.366 77.655 180.366 c
78.346 180.366 78.906 179.806 78.906 179.115 c
b*
52.641 179.115 m
52.641 178.424 52.081 177.864 51.39 177.864 c
50.699 177.864 50.139 178.424 50.139 179.115 c
50.139 179.806 50.699 180.366 51.39 180.366 c
52.081 180.366 52.641 179.806 52.641 179.115 c
b*
52.641 141.57 m
52.641 140.879 52.081 140.319 51.39 140.319 c
50.699 140.319 50.139 140.879 50.139 141.57 c
50.139 142.261 50.699 142.821 51.39 142.821 c
52.081 142.821 52.641 142.261 52.641 141.57 c
b*
0.626 w
136.471 135.318 m
131.466 140.324 l
136.471 140.324 m
131.466 135.318 l
S
0.313 w
143.353 135.944 m
139.599 139.698 l
143.353 139.698 m
139.599 135.944 l
154.615 135.944 m
150.861 139.698 l
154.615 139.698 m
150.861 135.944 l
180.892 135.944 m
177.138 139.698 l
180.892 139.698 m
177.138 135.944 l
135.845 154.713 m
132.091 158.467 l
135.845 158.467 m
132.091 154.713 l
135.845 143.452 m
132.091 147.206 l
135.845 147.206 m
132.091 143.452 l
135.845 180.99 m
132.091 184.744 l
135.845 184.744 m
132.091 180.99 l
S
138.981 137.82 m
138.981 137.129 138.421 136.569 137.73 136.569 c
137.039 136.569 136.479 137.129 136.479 137.82 c
136.479 138.511 137.039 139.071 137.73 139.071 c
138.421 139.071 138.981 138.511 138.981 137.82 c
b*
150.231 137.82 m
150.231 137.129 149.671 136.569 148.98 136.569 c
148.289 136.569 147.729 137.129 147.729 137.82 c
147.729 138.511 148.289 139.071 148.98 139.071 c
149.671 139.071 150.231 138.511 150.231 137.82 c
b*
176.511 137.82 m
176.511 137.129 175.951 136.569 175.26 136.569 c
174.569 136.569 174.009 137.129 174.009 137.82 c
174.009 138.511 174.569 139.071 175.26 139.071 c
175.951 139.071 176.511 138.511 176.511 137.82 c
b*
165.246 182.865 m
165.246 182.174 164.686 181.614 163.995 181.614 c
163.304 181.614 162.744 182.174 162.744 182.865 c
162.744 183.556 163.304 184.116 163.995 184.116 c
164.686 184.116 165.246 183.556 165.246 182.865 c
b*
176.511 164.1 m
176.511 163.409 175.951 162.849 175.26 162.849 c
174.569 162.849 174.009 163.409 174.009 164.1 c
174.009 164.791 174.569 165.351 175.26 165.351 c
175.951 165.351 176.511 164.791 176.511 164.1 c
b*
146.481 171.6 m
146.481 170.909 145.921 170.349 145.23 170.349 c
144.539 170.349 143.979 170.909 143.979 171.6 c
143.979 172.291 144.539 172.851 145.23 172.851 c
145.921 172.851 146.481 172.291 146.481 171.6 c
b*
180.261 179.115 m
180.261 178.424 179.701 177.864 179.01 177.864 c
178.319 177.864 177.759 178.424 177.759 179.115 c
177.759 179.806 178.319 180.366 179.01 180.366 c
179.701 180.366 180.261 179.806 180.261 179.115 c
b*
135.216 167.85 m
135.216 167.159 134.656 166.599 133.965 166.599 c
133.274 166.599 132.714 167.159 132.714 167.85 c
132.714 168.541 133.274 169.101 133.965 169.101 c
134.656 169.101 135.216 168.541 135.216 167.85 c
b*
135.216 152.835 m
135.216 152.144 134.656 151.584 133.965 151.584 c
133.274 151.584 132.714 152.144 132.714 152.835 c
132.714 153.526 133.274 154.086 133.965 154.086 c
134.656 154.086 135.216 153.526 135.216 152.835 c
b*
161.496 152.835 m
161.496 152.144 160.936 151.584 160.245 151.584 c
159.554 151.584 158.994 152.144 158.994 152.835 c
158.994 153.526 159.554 154.086 160.245 154.086 c
160.936 154.086 161.496 153.526 161.496 152.835 c
b*
135.216 141.57 m
135.216 140.879 134.656 140.319 133.965 140.319 c
133.274 140.319 132.714 140.879 132.714 141.57 c
132.714 142.261 133.274 142.821 133.965 142.821 c
134.656 142.821 135.216 142.261 135.216 141.57 c
b*
0.626 w
219.056 135.318 m
214.051 140.324 l
219.056 140.324 m
214.051 135.318 l
S
0.313 w
225.938 135.944 m
222.184 139.698 l
225.938 139.698 m
222.184 135.944 l
237.2 135.944 m
233.446 139.698 l
237.2 139.698 m
233.446 135.944 l
263.477 135.944 m
259.723 139.698 l
263.477 139.698 m
259.723 135.944 l
218.43 180.99 m
214.676 184.744 l
218.43 184.744 m
214.676 180.99 l
218.43 154.713 m
214.676 158.467 l
218.43 158.467 m
214.676 154.713 l
218.43 143.452 m
214.676 147.206 l
218.43 147.206 m
214.676 143.452 l
S
221.556 137.82 m
221.556 137.129 220.996 136.569 220.305 136.569 c
219.614 136.569 219.054 137.129 219.054 137.82 c
219.054 138.511 219.614 139.071 220.305 139.071 c
220.996 139.071 221.556 138.511 221.556 137.82 c
b*
232.821 137.82 m
232.821 137.129 232.261 136.569 231.57 136.569 c
230.879 136.569 230.319 137.129 230.319 137.82 c
230.319 138.511 230.879 139.071 231.57 139.071 c
232.261 139.071 232.821 138.511 232.821 137.82 c
b*
253.461 137.82 m
253.461 137.129 252.901 136.569 252.21 136.569 c
251.519 136.569 250.959 137.129 250.959 137.82 c
250.959 138.511 251.519 139.071 252.21 139.071 c
252.901 139.071 253.461 138.511 253.461 137.82 c
b*
240.321 182.865 m
240.321 182.174 239.761 181.614 239.07 181.614 c
238.379 181.614 237.819 182.174 237.819 182.865 c
237.819 183.556 238.379 184.116 239.07 184.116 c
239.761 184.116 240.321 183.556 240.321 182.865 c
b*
234.696 160.35 m
234.696 159.659 234.136 159.099 233.445 159.099 c
232.754 159.099 232.194 159.659 232.194 160.35 c
232.194 161.041 232.754 161.601 233.445 161.601 c
234.136 161.601 234.696 161.041 234.696 160.35 c
b*
229.071 171.6 m
229.071 170.909 228.511 170.349 227.82 170.349 c
227.129 170.349 226.569 170.909 226.569 171.6 c
226.569 172.291 227.129 172.851 227.82 172.851 c
228.511 172.851 229.071 172.291 229.071 171.6 c
b*
240.321 154.71 m
240.321 154.019 239.761 153.459 239.07 153.459 c
238.379 153.459 237.819 154.019 237.819 154.71 c
237.819 155.401 238.379 155.961 239.07 155.961 c
239.761 155.961 240.321 155.401 240.321 154.71 c
b*
262.851 160.35 m
262.851 159.659 262.291 159.099 261.6 159.099 c
260.909 159.099 260.349 159.659 260.349 160.35 c
260.349 161.041 260.909 161.601 261.6 161.601 c
262.291 161.601 262.851 161.041 262.851 160.35 c
b*
217.806 173.475 m
217.806 172.784 217.246 172.224 216.555 172.224 c
215.864 172.224 215.304 172.784 215.304 173.475 c
215.304 174.166 215.864 174.726 216.555 174.726 c
217.246 174.726 217.806 174.166 217.806 173.475 c
b*
217.806 152.835 m
217.806 152.144 217.246 151.584 216.555 151.584 c
215.864 151.584 215.304 152.144 215.304 152.835 c
215.304 153.526 215.864 154.086 216.555 154.086 c
217.246 154.086 217.806 153.526 217.806 152.835 c
b*
217.806 141.57 m
217.806 140.879 217.246 140.319 216.555 140.319 c
215.864 140.319 215.304 140.879 215.304 141.57 c
215.304 142.261 215.864 142.821 216.555 142.821 c
217.246 142.821 217.806 142.261 217.806 141.57 c
b*
EMC
BT
/F20 1 Tf
7.9163 0 0 7.9163 151.4059 122.7515 Tm
0 0 0 rg
-0.0022 Tc
[(\(b\))-9187.2(\()-2.8(c\))]TJ
-10.4089 0 TD
0.0015 Tc
(\(a\))Tj
ET
EMC
BT
/F3 1 Tf
8.9664 0 0 8.9664 49.869 102.819 Tm
0 0 0 1 k
0 Tc
[(FIGURE)-272.9(5)]TJ
/F2 1 Tf
9.9626 0 0 9.9626 88.6853 102.819 Tm
(.)Tj
/F16 1 Tf
8.9664 0 0 8.9664 95.8494 102.819 Tm
-0.0001 Tc
[(The)-332.9(h)-0.2(orsesho)-28.2(e)-333.9(t)0.1(rellises)-335.5(and)-333.5(h)-0.2(omo)-28.2(c)0(linic)-335.3(orbits)]TJ
-5.1281 -1.2226 TD
[(with)-411.8(co)-28.2(des)-411.7(\()0.1(a\))]TJ
ET
0 0 0 1 K
0.387 w
112.428 98.972 m
117.036 98.972 l
S
BT
8.9664 0 0 8.9664 112.4271 91.857 Tm
0 Tc
(0110111)Tj
ET
144.684 98.972 m
149.292 98.972 l
S
BT
8.9664 0 0 8.9664 144.6825 91.857 Tm
0.4106 Tc
[(0a)410.6(n)410.5(d)-1.1(\()410.8(b)410.5(\))]TJ
ET
187.479 98.972 m
192.087 98.972 l
S
BT
8.9664 0 0 8.9664 187.477 91.857 Tm
0 Tc
(0111011)Tj
ET
219.735 98.972 m
224.343 98.972 l
S
BT
8.9664 0 0 8.9664 219.7324 91.857 Tm
[(0,)-428.2(and)-410.7(\()0.2(c\))-410.3(the)]TJ
-18.9445 -1.2216 TD
-0.0002 Tc
[(trellis)-344.6(they)-343.1(force.)]TJ
ET
/EmbeddedDocument /MC11 BDC
/EmbeddedDocument /MC12 BDC
0 g
0 0 0 RG
0.298 w
311.476 711.18 m
311.476 710.302 310.763 709.589 309.885 709.589 c
309.007 709.589 308.294 710.302 308.294 711.18 c
308.294 712.058 309.007 712.771 309.885 712.771 c
310.763 712.771 311.476 712.058 311.476 711.18 c
b*
337.913 720.12 m
337.913 719.461 337.379 718.927 336.72 718.927 c
336.061 718.927 335.527 719.461 335.527 720.12 c
335.527 720.779 336.061 721.313 336.72 721.313 c
337.379 721.313 337.913 720.779 337.913 720.12 c
b*
328.958 711.165 m
328.958 710.506 328.424 709.972 327.765 709.972 c
327.106 709.972 326.572 710.506 326.572 711.165 c
326.572 711.824 327.106 712.358 327.765 712.358 c
328.424 712.358 328.958 711.824 328.958 711.165 c
b*
346.868 711.165 m
346.868 710.506 346.334 709.972 345.675 709.972 c
345.016 709.972 344.482 710.506 344.482 711.165 c
344.482 711.824 345.016 712.358 345.675 712.358 c
346.334 712.358 346.868 711.824 346.868 711.165 c
b*
355.808 702.225 m
355.808 701.566 355.274 701.032 354.615 701.032 c
353.956 701.032 353.422 701.566 353.422 702.225 c
353.422 702.884 353.956 703.418 354.615 703.418 c
355.274 703.418 355.808 702.884 355.808 702.225 c
b*
364.763 702.225 m
364.763 701.566 364.229 701.032 363.57 701.032 c
362.911 701.032 362.377 701.566 362.377 702.225 c
362.377 702.884 362.911 703.418 363.57 703.418 c
364.229 703.418 364.763 702.884 364.763 702.225 c
b*
373.703 693.27 m
373.703 692.611 373.169 692.077 372.51 692.077 c
371.851 692.077 371.317 692.611 371.317 693.27 c
371.317 693.929 371.851 694.463 372.51 694.463 c
373.169 694.463 373.703 693.929 373.703 693.27 c
b*
382.658 711.165 m
382.658 710.506 382.124 709.972 381.465 709.972 c
380.806 709.972 380.272 710.506 380.272 711.165 c
380.272 711.824 380.806 712.358 381.465 712.358 c
382.124 712.358 382.658 711.824 382.658 711.165 c
b*
391.613 720.12 m
391.613 719.461 391.079 718.927 390.42 718.927 c
389.761 718.927 389.227 719.461 389.227 720.12 c
389.227 720.779 389.761 721.313 390.42 721.313 c
391.079 721.313 391.613 720.779 391.613 720.12 c
b*
400.553 702.225 m
400.553 701.566 400.019 701.032 399.36 701.032 c
398.701 701.032 398.167 701.566 398.167 702.225 c
398.167 702.884 398.701 703.418 399.36 703.418 c
400.019 703.418 400.553 702.884 400.553 702.225 c
b*
409.508 711.165 m
409.508 710.506 408.974 709.972 408.315 709.972 c
407.656 709.972 407.122 710.506 407.122 711.165 c
407.122 711.824 407.656 712.358 408.315 712.358 c
408.974 712.358 409.508 711.824 409.508 711.165 c
b*
436.756 711.18 m
436.756 710.302 436.043 709.589 435.165 709.589 c
434.287 709.589 433.574 710.302 433.574 711.18 c
433.574 712.058 434.287 712.771 435.165 712.771 c
436.043 712.771 436.756 712.058 436.756 711.18 c
b*
454.253 711.165 m
454.253 710.506 453.719 709.972 453.06 709.972 c
452.401 709.972 451.867 710.506 451.867 711.165 c
451.867 711.824 452.401 712.358 453.06 712.358 c
453.719 712.358 454.253 711.824 454.253 711.165 c
b*
463.208 720.12 m
463.208 719.461 462.674 718.927 462.015 718.927 c
461.356 718.927 460.822 719.461 460.822 720.12 c
460.822 720.779 461.356 721.313 462.015 721.313 c
462.674 721.313 463.208 720.779 463.208 720.12 c
b*
472.148 702.225 m
472.148 701.566 471.614 701.032 470.955 701.032 c
470.296 701.032 469.762 701.566 469.762 702.225 c
469.762 702.884 470.296 703.418 470.955 703.418 c
471.614 703.418 472.148 702.884 472.148 702.225 c
b*
481.103 720.12 m
481.103 719.461 480.569 718.927 479.91 718.927 c
479.251 718.927 478.717 719.461 478.717 720.12 c
478.717 720.779 479.251 721.313 479.91 721.313 c
480.569 721.313 481.103 720.779 481.103 720.12 c
b*
498.998 702.225 m
498.998 701.566 498.464 701.032 497.805 701.032 c
497.146 701.032 496.612 701.566 496.612 702.225 c
496.612 702.884 497.146 703.418 497.805 703.418 c
498.464 703.418 498.998 702.884 498.998 702.225 c
b*
507.953 711.165 m
507.953 710.506 507.419 709.972 506.76 709.972 c
506.101 709.972 505.567 710.506 505.567 711.165 c
505.567 711.824 506.101 712.358 506.76 712.358 c
507.419 712.358 507.953 711.824 507.953 711.165 c
b*
516.893 711.165 m
516.893 710.506 516.359 709.972 515.7 709.972 c
515.041 709.972 514.507 710.506 514.507 711.165 c
514.507 711.824 515.041 712.358 515.7 712.358 c
516.359 712.358 516.893 711.824 516.893 711.165 c
b*
525.848 718.335 m
525.848 717.676 525.314 717.142 524.655 717.142 c
523.996 717.142 523.462 717.676 523.462 718.335 c
523.462 718.994 523.996 719.528 524.655 719.528 c
525.314 719.528 525.848 718.994 525.848 718.335 c
b*
534.803 702.225 m
534.803 701.566 534.269 701.032 533.61 701.032 c
532.951 701.032 532.417 701.566 532.417 702.225 c
532.417 702.884 532.951 703.418 533.61 703.418 c
534.269 703.418 534.803 702.884 534.803 702.225 c
b*
543.743 711.165 m
543.743 710.506 543.209 709.972 542.55 709.972 c
541.891 709.972 541.357 710.506 541.357 711.165 c
541.357 711.824 541.891 712.358 542.55 712.358 c
543.209 712.358 543.743 711.824 543.743 711.165 c
b*
490.058 711.165 m
490.058 710.506 489.524 709.972 488.865 709.972 c
488.206 709.972 487.672 710.506 487.672 711.165 c
487.672 711.824 488.206 712.358 488.865 712.358 c
489.524 712.358 490.058 711.824 490.058 711.165 c
b*
309.871 711.17 m
408.314 711.17 l
336.719 711.17 m
336.719 720.119 l
354.618 702.221 m
354.618 711.17 l
372.516 693.271 m
372.516 711.17 l
372.516 702.221 m
363.567 702.221 l
390.415 711.17 m
390.415 720.119 l
399.364 702.221 m
399.364 711.17 l
435.161 711.17 m
542.553 711.17 l
462.009 711.17 m
462.009 720.119 l
470.959 702.221 m
470.959 711.17 l
479.908 711.17 m
479.908 720.119 l
497.806 702.221 m
497.806 711.17 l
533.604 702.221 m
533.604 711.17 l
524.654 711.17 m
524.654 720.119 l
S
EMC
BT
/F20 1 Tf
7.549 0 0 7.549 343.8269 704.0254 Tm
0 0 0 rg
0 Tc
(8)Tj
1.1844 -1.1844 TD
0.7049 Tc
(37)Tj
2.3789 -1.1945 TD
0 Tc
(2)Tj
1.1844 2.3789 TD
(5)Tj
2.3689 -1.1844 TD
(6)Tj
1.1844 1.1844 TD
(1)Tj
-9.0137 1.8971 TD
6.627 Tc
(54)Tj
-1.6562 -1.8971 TD
0 Tc
(4)Tj
-2.3689 0 TD
16.1124 Tc
[(00)14233.1(4)]TJ
20.6271 1.8971 TD
1.8793 Tc
(65)Tj
0.7127 -3.0815 TD
0 Tc
(3)Tj
2.3689 1.1844 TD
(8)Tj
1.1844 -1.1844 TD
(2)Tj
1.1844 1.1844 TD
0.7049 Tc
(56)Tj
2.8506 1.6562 TD
0 Tc
(4)Tj
0.7127 -2.8406 TD
(7)Tj
1.1844 1.1844 TD
(1)Tj
-26.4689 -2.138 TD
-0.0003 Tc
[(\(a\))-16502.6(\()-0.9(b\))]TJ
ET
EMC
BT
/F3 1 Tf
8.9664 0 0 8.9664 312.885 666.381 Tm
0 0 0 1 k
0 Tc
[(FIGURE)-489.7(6)]TJ
/F2 1 Tf
9.9626 0 0 9.9626 353.6453 666.381 Tm
(.)Tj
/F16 1 Tf
8.9664 0 0 8.9664 367.1724 666.381 Tm
-0.0001 Tc
[(T)84.7(o)-0.1(p)-28.3(o)-0.1(logical)-560.8(g)-0.1(raph)-559.3(represen)27.9(tativ)28.4(e)0.4(s)-561.3(f)-0.2(or)-559.7(the)]TJ
-6.0546 -1.2226 TD
[(homo)-28.2(clinic)-517.9(orbits)-515.1(with)-516.2(co)-28.2(des)-516.1(\()0.1(a\))]TJ
ET
0 0 0 1 K
0.387 w
453.879 662.534 m
458.487 662.534 l
S
BT
8.9664 0 0 8.9664 453.877 655.419 Tm
0 Tc
(01)Tj
/F25 1 Tf
5.9776 0 0 5.9776 463.095 659.235 Tm
(0)Tj
0 -0.9019 TD
(1)Tj
/F16 1 Tf
8.9664 0 0 8.9664 467.244 655.419 Tm
(01001)Tj
/F25 1 Tf
5.9776 0 0 5.9776 490.284 659.235 Tm
(0)Tj
T*
(1)Tj
/F16 1 Tf
8.9664 0 0 8.9664 494.433 655.419 Tm
(1)Tj
ET
499.041 662.534 m
503.649 662.534 l
S
BT
8.9664 0 0 8.9664 499.0409 655.419 Tm
0.516 Tc
[(0a)516(n)515.9(d)0.9(\()516.2(b)515.9(\))]TJ
ET
312.885 651.572 m
317.493 651.572 l
S
BT
8.9664 0 0 8.9664 312.885 644.4661 Tm
0 Tc
(01)Tj
/F25 1 Tf
5.9776 0 0 5.9776 322.101 648.273 Tm
(0)Tj
T*
(1)Tj
/F16 1 Tf
8.9664 0 0 8.9664 326.25 644.4661 Tm
(10010)Tj
/F25 1 Tf
5.9776 0 0 5.9776 349.29 648.273 Tm
(0)Tj
T*
(1)Tj
/F16 1 Tf
8.9664 0 0 8.9664 353.439 644.4661 Tm
(1)Tj
ET
358.047 651.572 m
362.655 651.572 l
S
BT
8.9664 0 0 8.9664 358.0469 644.4661 Tm
(0.)Tj
/F2 1 Tf
9.9626 0 0 9.9626 315.873 615.018 Tm
-0.0002 Tc
[(F)82.5(o)0.2(r)-360.1(o)0.2(rbits)-361.9(of)-361.3(signature)-361.6(up)-359.8(to)-361.1(4,)-368.3(the)-360.7(o)0.2(nly)-361.3(e)-0.2(quiv)55.1(alences)]TJ
-1.1997 -1.3 TD
[(are)-411.3(t)0.2(rivial;)-453.3(t)28.2(w)28.2(o)-412.6(homo)-27.8(clinic)-414(orbits)-412.5(ha)28.2(v)28(e)-413.1(the)-412.2(s)-0.5(ame)-412.2(homo-)]TJ
T*
[(clinic)-262.2(braid)-261.3(t)28.2(y)0(p)-28.2(e)-261.3(if)-261.1(and)-261.3(o)0.2(nly)-262(i)0.2(f)-261.1(t)0.2(hey)-261.1(ha)28.2(v)28(e)-262.2(the)-261.3(s)-0.5(ame)-261.3(decora-)]TJ
T*
[(tion.)-433.4(H)0(o)28.2(w)28.2(e)-0.2(v)28(e)-0.2(r,)-306(the)-297.4(o)0.2(rbits)-297.7(of)-297.2(signature)-298.3(5)-297(with)-297.4(decorations)]TJ
0 -1.3009 TD
[(01)-250(and)-250.5(10,)-267.2(and)-250.5(c)-0.2(o)-27.8(des)]TJ
ET
0.405 w
394.893 571.031 m
399.879 571.031 l
S
BT
9.9626 0 0 9.9626 394.894 563.205 Tm
0.0005 Tc
(01)Tj
/F6 1 Tf
6.9738 0 0 6.9738 404.856 566.823 Tm
0 Tc
(0)Tj
0 -0.8724 TD
(1)Tj
/F2 1 Tf
9.9626 0 0 9.9626 409.329 563.205 Tm
-0.0004 Tc
(01)Tj
/F6 1 Tf
6.9738 0 0 6.9738 419.283 566.823 Tm
0 Tc
(0)Tj
T*
(1)Tj
/F2 1 Tf
9.9626 0 0 9.9626 423.756 563.205 Tm
(1)Tj
ET
428.733 571.031 m
433.719 571.031 l
S
BT
9.9626 0 0 9.9626 428.733 563.205 Tm
0.2507 Tc
[(0a)251.1(n)250.7(d)]TJ
ET
454.743 571.031 m
459.729 571.031 l
S
BT
9.9626 0 0 9.9626 454.7433 563.205 Tm
0.0005 Tc
(01)Tj
/F6 1 Tf
6.9738 0 0 6.9738 464.706 566.823 Tm
0 Tc
(0)Tj
T*
(1)Tj
/F2 1 Tf
9.9626 0 0 9.9626 469.179 563.205 Tm
-0.0004 Tc
(10)Tj
/F6 1 Tf
6.9738 0 0 6.9738 479.133 566.823 Tm
0 Tc
(0)Tj
T*
(1)Tj
/F2 1 Tf
9.9626 0 0 9.9626 483.606 563.205 Tm
(1)Tj
ET
488.583 571.031 m
493.569 571.031 l
S
BT
9.9626 0 0 9.9626 488.5831 563.205 Tm
-0.0001 Tc
[(0)-250.8(r)-0.5(esp)-28.1(ectiv)28.1(ely)83.2(,)]TJ
-18.5355 -1.3 TD
[(are)-333.5(e)-0.1(quiv)55.2(alen)27.9(t)-334.8(\(see)-333.5(Figure)-333.5(5\).)]TJ
1.1997 -1.3 TD
-0.0002 Tc
[(F)82.5(o)0.2(r)-426.1(h)-0.2(omo)-27.8(clinic)-429.3(orbits)-426.9(of)-426.4(signature)-427.5(at)-427.1(most)-426.2(7)0.2(,)-450.5(all)-427.1(or-)]TJ
-1.1997 -1.3 TD
-0.0003 Tc
[(bits)-371(ha)28.1(v)27.9(e)-370.7(the)-370.7(s)-0.6(ame)-370.7(homo)-27.9(clinic)-372.5(braid)-369.8(t)28.1(y)-0.1(p)-28.3(e)-370.7(as)-371(their)-371.1(time-)]TJ
T*
-0.0001 Tc
[(rev)28.1(e)-0.1(rsal.)-835.3(Ho)28.3(w)28.3(e)-0.1(v)28.1(e)-0.1(r,)-497.4(for)-463.9(o)0.3(rbits)-464.8(of)-464.2(signature)-464.5(8,)-496.5(there)-463.6(a)0.3(re)]TJ
T*
[(t)28.3(w)28.3(o)-433.3(pairs)-432.2(o)0.3(f)-432.6(o)0.3(rbits)-433.2(whose)-431.9(h)-0.1(omo)-27.7(clinic)-434.6(braid)-432.8(t)28.3(y)0.1(p)-28.1(e)-432.8(diers)]TJ
T*
-0.0002 Tc
[(from)-484.9(that)-485.8(of)-485.1(their)-485.7(time-rev)28(ersal.)-900.4(This)-485.6(is)-485.7(a)-484.9(c)-0.2(oun)27.8(t)0.2(erex-)]TJ
T*
-0.0001 Tc
[(ample)-403.9(to)-403.5(the)-403(c)-0.1(onjecture)-403(t)0.3(hat)-403.5(h)-0.1(orsesho)-27.7(e)-403(orbits,)-420.6(t)0.3(hat)-403.5(a)0.3(re)]TJ
T*
[(time-rev)28.1(ersal)-333.9(p)-0.1(airs)-333.8(h)-0.1(a)28.3(v)28.1(e)-335.3(t)0.3(he)-333.5(same)-334.4(braid)-333.5(t)28.3(y)0.1(p)-28.1(e)-0.1(.)]TJ
1.1997 -1.3 TD
[(The)-926.1(t)0.3(rellises)-927.3(forced)-926.1(b)27.9(y)-925.9(the)-927(o)0.3(rbits)-926.4(with)-927(co)-27.7(des)]TJ
ET
303.921 441.512 m
308.907 441.512 l
S
BT
9.9626 0 0 9.9626 303.921 433.695 Tm
-0.0004 Tc
(01)Tj
/F6 1 Tf
6.9738 0 0 6.9738 313.875 437.313 Tm
0 Tc
(0)Tj
0 -0.8737 TD
(1)Tj
/F2 1 Tf
9.9626 0 0 9.9626 318.348 433.695 Tm
-0.0004 Tc
(01001)Tj
/F6 1 Tf
6.9738 0 0 6.9738 343.233 437.313 Tm
0 Tc
(0)Tj
T*
(1)Tj
/F2 1 Tf
9.9626 0 0 9.9626 347.724 433.695 Tm
(1)Tj
ET
352.701 441.512 m
357.687 441.512 l
S
BT
9.9626 0 0 9.9626 352.701 433.695 Tm
0.4585 Tc
[(0a)458.9(n)458.5(d)]TJ
ET
382.851 441.512 m
387.837 441.512 l
S
BT
9.9626 0 0 9.9626 382.8513 433.695 Tm
0.0005 Tc
(01)Tj
/F6 1 Tf
6.9738 0 0 6.9738 392.814 437.313 Tm
0 Tc
(0)Tj
T*
(1)Tj
/F2 1 Tf
9.9626 0 0 9.9626 397.287 433.695 Tm
-0.0004 Tc
(10010)Tj
/F6 1 Tf
6.9738 0 0 6.9738 422.172 437.313 Tm
0 Tc
(0)Tj
T*
(1)Tj
/F2 1 Tf
9.9626 0 0 9.9626 426.663 433.695 Tm
(1)Tj
ET
431.64 441.512 m
436.626 441.512 l
S
BT
9.9626 0 0 9.9626 431.6401 433.695 Tm
-0.0001 Tc
[(0)-457.7(a)0.3(re)-457.2(not)-457.7(e)-0.1(quiv)55.2(alen)27.9(t)0.3(,)-491.1(e)-0.1(v)28.1(e)-0.1(n)]TJ
-12.8198 -1.3 TD
[(though)-293.7(these)-291.9(w)28.3(ords)-293.1(are)-292.8(r)-0.5(ev)28.1(erses)-291.3(o)0.3(f)-293.5(e)-0.1(ac)27.9(h)-292.8(other.)-431.5(E)0.2(ac)27.9(h)-292.8(t)0.3(rel-)]TJ
T*
[(lis)-389.8(has)-388.9(176)-389(in)27.9(tersections.)-612.1(The)-388.6(g)0.3(raph)-389.5(represen)27.9(tativ)28.1(es)-389.8(are)]TJ
T*
-0.0002 Tc
[(sho)28.2(w)0.2(n)-275.8(i)0.2(n)-275.8(F)-0.6(igure)-274.9(6.)-426.2(The)-275.8(top)-28.2(ological)-278(en)27.8(trop)27.8(y)-276.4(o)0.2(f)-275.5(b)-28.2(oth)-275.8(these)]TJ
T*
-0.0003 Tc
[(orbits)-339.4(is)-338.5(log)]TJ
/F9 1 Tf
5.3146 0 TD
0 Tc
()Tj
/F2 1 Tf
0.5836 0 TD
0.0001 Tc
[(,)-339.1(w)0.5(here)]TJ
/F9 1 Tf
3.5133 0 TD
0 Tc
()Tj
/F2 1 Tf
0.9214 0 TD
-0.0002 Tc
[(is)-338.4(the)-339(largest)-338.5(ro)-27.8(ot)-338.5(of)-338.8(the)-339(p)-28.2(olyno-)]TJ
-10.3329 -1.3 TD
-0.0004 Tc
(mial)Tj
/F9 1 Tf
1.2196 -2.047 TD
0 Tc
()Tj
/F6 1 Tf
6.9738 0 0 6.9738 321.885 352.659 Tm
-0.0003 Tc
(13)Tj
/F13 1 Tf
9.9626 0 0 9.9626 332.541 348.5461 Tm
0 Tc
()Tj
/F2 1 Tf
1 0 TD
(2)Tj
/F9 1 Tf
0.4996 0 TD
()Tj
/F6 1 Tf
6.9738 0 0 6.9738 353.295 352.659 Tm
-0.0003 Tc
(12)Tj
/F2 1 Tf
9.9626 0 0 9.9626 363.951 348.5461 Tm
0.2223 Tc
(+2)Tj
/F9 1 Tf
1.4996 0 TD
0 Tc
()Tj
/F6 1 Tf
6.9738 0 0 6.9738 384.705 352.659 Tm
(8)Tj
/F2 1 Tf
9.9626 0 0 9.9626 391.392 348.5461 Tm
(+)Tj
/F9 1 Tf
1 0 TD
()Tj
/F6 1 Tf
6.9738 0 0 6.9738 407.169 352.659 Tm
(7)Tj
/F13 1 Tf
9.9626 0 0 9.9626 413.847 348.5461 Tm
()Tj
/F2 1 Tf
1 0 TD
(4)Tj
/F9 1 Tf
0.4996 0 TD
()Tj
/F6 1 Tf
6.9738 0 0 6.9738 434.601 352.659 Tm
(5)Tj
/F13 1 Tf
9.9626 0 0 9.9626 441.288 348.5461 Tm
()Tj
/F2 1 Tf
1 0 TD
(2)Tj
/F9 1 Tf
0.4996 0 TD
()Tj
/F6 1 Tf
6.9738 0 0 6.9738 462.042 352.659 Tm
(4)Tj
/F2 1 Tf
9.9626 0 0 9.9626 468.729 348.5461 Tm
0.2214 Tc
(+2)Tj
/F9 1 Tf
1.4987 0 TD
0 Tc
()Tj
/F6 1 Tf
6.9738 0 0 6.9738 489.474 352.659 Tm
(2)Tj
/F2 1 Tf
9.9626 0 0 9.9626 496.161 348.5461 Tm
0.2223 Tc
(+2)Tj
/F9 1 Tf
1.4996 0 TD
0 Tc
()Tj
/F13 1 Tf
0.8058 0 TD
()Tj
/F2 1 Tf
1 0 TD
(2)Tj
/F9 1 Tf
0.4996 0 TD
(.)Tj
/F2 1 Tf
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S
BT
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BT
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/EmbeddedDocument /MC13 BDC
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q
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q
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q
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q
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q
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q
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q
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q
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q
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q
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q
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Q
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S
EMC
BT
/F13 1 Tf
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()Tj
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(1001)Tj
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[(0011)-3513.2(0)]TJ
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(0110)Tj
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(011)Tj
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(01)Tj
-12.3361 -9.4854 TD
(001)Tj
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[(00)-2790.5(0001)]TJ
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(000)Tj
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(1111)Tj
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(11)Tj
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(101)Tj
ET
EMC
BT
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T*
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(H)Tj
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ET
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S
BT
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-0.0004 Tc
(0110111)Tj
ET
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S
BT
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-0.0001 Tc
[(0)-423.4(\()0.3(deco-)]TJ
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T*
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ET
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S
BT
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(01)Tj
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(1)Tj
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(0)Tj
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(0)Tj
T*
(1)Tj
/F2 1 Tf
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(1)Tj
ET
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S
BT
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T*
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T*
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T*
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T*
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ET
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S
BT
/F16 1 Tf
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-0.0002 Tc
(Sig)Tj
ET
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S
BT
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(#)Tj
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(T)Tj
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(V)Tj
ET
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S
BT
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(h)Tj
/F25 1 Tf
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0.0003 Tc
(top)Tj
ET
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S
BT
/F16 1 Tf
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ET
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S
BT
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0 Tc
(2)Tj
ET
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BT
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(8)Tj
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S
BT
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(0)Tj
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ET
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S
BT
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()Tj
ET
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S
BT
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(3)Tj
ET
359.302 553.845 m
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S
BT
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(10)Tj
ET
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S
BT
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(0)Tj
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(.)Tj
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ET
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S
BT
/F26 1 Tf
8.9664 0 0 8.9664 441.6201 557.13 Tm
()Tj
ET
560.461 553.845 m
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S
BT
/F16 1 Tf
8.9664 0 0 8.9664 345.672 545.772 Tm
(4)Tj
ET
359.302 542.487 m
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S
BT
8.9664 0 0 8.9664 374.4719 545.772 Tm
(12)Tj
ET
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S
BT
8.9664 0 0 8.9664 394.0558 545.772 Tm
(0)Tj
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(.)Tj
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(434175)Tj
ET
434.047 542.487 m
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S
BT
8.9664 0 0 8.9664 441.6201 545.772 Tm
(0)Tj
ET
560.461 542.487 m
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S
BT
8.9664 0 0 8.9664 374.472 534.8101 Tm
(24)Tj
ET
388.876 531.525 m
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S
BT
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(0)Tj
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(.)Tj
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(637160)Tj
ET
434.047 531.525 m
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S
BT
8.9664 0 0 8.9664 441.6202 534.8101 Tm
(1)Tj
ET
560.461 531.525 m
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S
BT
8.9664 0 0 8.9664 345.672 523.452 Tm
(5)Tj
ET
359.302 520.167 m
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S
BT
8.9664 0 0 8.9664 374.4719 523.452 Tm
(14)Tj
ET
388.876 520.167 m
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S
BT
8.9664 0 0 8.9664 394.0558 523.452 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
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(372312)Tj
ET
434.047 520.167 m
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S
BT
8.9664 0 0 8.9664 441.6201 523.452 Tm
(00)Tj
ET
560.461 520.167 m
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336.658 509.205 m
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359.302 509.205 m
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S
BT
8.9664 0 0 8.9664 374.472 512.499 Tm
(26)Tj
ET
388.876 509.205 m
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S
BT
8.9664 0 0 8.9664 394.0558 512.499 Tm
(0)Tj
/F28 1 Tf
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(.)Tj
/F16 1 Tf
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(585210)Tj
ET
434.047 509.205 m
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S
BT
8.9664 0 0 8.9664 441.6202 512.499 Tm
(01)Tj
/F28 1 Tf
1.0278 0 TD
(,)Tj
/F16 1 Tf
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(10)Tj
ET
560.461 509.205 m
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336.658 498.252 m
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S
BT
8.9664 0 0 8.9664 374.472 501.537 Tm
(38)Tj
ET
388.876 498.252 m
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S
BT
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(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(589844)Tj
ET
434.047 498.252 m
434.047 509.214 l
436.441 498.252 m
436.441 509.214 l
S
BT
8.9664 0 0 8.9664 441.6202 501.537 Tm
(11)Tj
ET
560.461 498.252 m
560.461 509.214 l
336.456 498.059 m
560.664 498.059 l
336.658 486.894 m
336.658 497.856 l
S
BT
8.9664 0 0 8.9664 345.672 490.179 Tm
(6)Tj
ET
359.302 486.894 m
359.302 497.856 l
S
BT
8.9664 0 0 8.9664 374.4719 490.179 Tm
(16)Tj
ET
388.876 486.894 m
388.876 497.856 l
S
BT
8.9664 0 0 8.9664 394.0558 490.179 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(327931)Tj
ET
434.047 486.894 m
434.047 497.856 l
436.441 486.894 m
436.441 497.856 l
S
BT
8.9664 0 0 8.9664 441.6201 490.179 Tm
(000)Tj
ET
560.461 486.894 m
560.461 497.856 l
336.658 475.932 m
336.658 486.894 l
359.302 475.932 m
359.302 486.894 l
S
BT
8.9664 0 0 8.9664 374.472 479.226 Tm
(28)Tj
ET
388.876 475.932 m
388.876 486.894 l
S
BT
8.9664 0 0 8.9664 394.0558 479.226 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(621811)Tj
ET
434.047 475.932 m
434.047 486.894 l
436.441 475.932 m
436.441 486.894 l
S
BT
8.9664 0 0 8.9664 441.6202 479.226 Tm
(001)Tj
/F28 1 Tf
1.5417 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(100)Tj
ET
560.461 475.932 m
560.461 486.894 l
336.658 464.979 m
336.658 475.941 l
359.302 464.979 m
359.302 475.941 l
S
BT
8.9664 0 0 8.9664 374.472 468.264 Tm
(39)Tj
ET
388.876 464.979 m
388.876 475.941 l
S
BT
8.9664 0 0 8.9664 394.0558 468.264 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(493726)Tj
ET
434.047 464.979 m
434.047 475.941 l
436.441 464.979 m
436.441 475.941 l
S
BT
8.9664 0 0 8.9664 441.6202 468.264 Tm
(011)Tj
/F28 1 Tf
1.5417 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(010)Tj
/F28 1 Tf
1.5417 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(110)Tj
ET
560.461 464.979 m
560.461 475.941 l
336.658 454.017 m
336.658 464.979 l
359.302 454.017 m
359.302 464.979 l
S
BT
8.9664 0 0 8.9664 374.472 457.302 Tm
(76)Tj
ET
388.876 454.017 m
388.876 464.979 l
S
BT
8.9664 0 0 8.9664 394.0558 457.302 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(618251)Tj
ET
434.047 454.017 m
434.047 464.979 l
436.441 454.017 m
436.441 464.979 l
S
BT
8.9664 0 0 8.9664 441.6202 457.302 Tm
(111)Tj
ET
560.461 454.017 m
560.461 464.979 l
336.658 443.055 m
336.658 454.017 l
359.302 443.055 m
359.302 454.017 l
S
BT
8.9664 0 0 8.9664 374.472 446.349 Tm
(92)Tj
ET
388.876 443.055 m
388.876 454.017 l
S
BT
8.9664 0 0 8.9664 394.0558 446.349 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(655290)Tj
ET
434.047 443.055 m
434.047 454.017 l
436.441 443.055 m
436.441 454.017 l
S
BT
8.9664 0 0 8.9664 441.6202 446.349 Tm
(101)Tj
ET
560.461 443.055 m
560.461 454.017 l
336.456 442.862 m
560.664 442.862 l
336.658 431.697 m
336.658 442.659 l
S
BT
8.9664 0 0 8.9664 345.672 434.991 Tm
(7)Tj
ET
359.302 431.697 m
359.302 442.659 l
S
BT
8.9664 0 0 8.9664 374.4719 434.991 Tm
(18)Tj
ET
388.876 431.697 m
388.876 442.659 l
S
BT
8.9664 0 0 8.9664 394.0558 434.991 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(294274)Tj
ET
434.047 431.697 m
434.047 442.659 l
436.441 431.697 m
436.441 442.659 l
S
BT
8.9664 0 0 8.9664 441.6201 434.991 Tm
(0000)Tj
ET
560.461 431.697 m
560.461 442.659 l
336.658 420.744 m
336.658 431.706 l
359.302 420.744 m
359.302 431.706 l
S
BT
8.9664 0 0 8.9664 374.472 424.0291 Tm
(29)Tj
ET
388.876 420.744 m
388.876 431.706 l
S
BT
8.9664 0 0 8.9664 394.0558 424.0291 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(658093)Tj
ET
434.047 420.744 m
434.047 431.706 l
436.441 420.744 m
436.441 431.706 l
S
BT
8.9664 0 0 8.9664 441.6202 424.0291 Tm
(0001)Tj
/F28 1 Tf
2.0556 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(1000)Tj
ET
560.461 420.744 m
560.461 431.706 l
336.658 409.782 m
336.658 420.744 l
359.302 409.782 m
359.302 420.744 l
S
BT
8.9664 0 0 8.9664 374.472 413.067 Tm
(42)Tj
ET
388.876 409.782 m
388.876 420.744 l
S
BT
8.9664 0 0 8.9664 394.0558 413.067 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(450806)Tj
ET
434.047 409.782 m
434.047 420.744 l
436.441 409.782 m
436.441 420.744 l
S
BT
8.9664 0 0 8.9664 441.6202 413.067 Tm
(0011)Tj
/F28 1 Tf
2.0556 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(0010)Tj
/F28 1 Tf
2.0556 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(0100)Tj
/F28 1 Tf
2.0556 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(1100)Tj
ET
560.461 409.782 m
560.461 420.744 l
336.658 398.82 m
336.658 409.782 l
359.302 398.82 m
359.302 409.782 l
S
BT
8.9664 0 0 8.9664 374.472 402.114 Tm
(58)Tj
ET
388.876 398.82 m
388.876 409.782 l
S
BT
8.9664 0 0 8.9664 394.0558 402.114 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(471989)Tj
ET
434.047 398.82 m
434.047 409.782 l
436.441 398.82 m
436.441 409.782 l
S
BT
8.9664 0 0 8.9664 441.6202 402.114 Tm
(0110)Tj
ET
560.461 398.82 m
560.461 409.782 l
336.658 387.867 m
336.658 398.829 l
359.302 387.867 m
359.302 398.829 l
S
BT
8.9664 0 0 8.9664 374.472 391.152 Tm
(70)Tj
ET
388.876 387.867 m
388.876 398.829 l
S
BT
8.9664 0 0 8.9664 394.0558 391.152 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(549761)Tj
ET
434.047 387.867 m
434.047 398.829 l
436.441 387.867 m
436.441 398.829 l
S
BT
8.9664 0 0 8.9664 441.6202 391.152 Tm
(0111)Tj
/F28 1 Tf
2.0556 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(0101)Tj
/F28 1 Tf
2.0556 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(1110)Tj
/F28 1 Tf
2.0556 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(1010)Tj
ET
560.461 387.867 m
560.461 398.829 l
336.658 376.905 m
336.658 387.867 l
359.302 376.905 m
359.302 387.867 l
S
BT
8.9664 0 0 8.9664 369.864 380.19 Tm
(122)Tj
ET
388.876 376.905 m
388.876 387.867 l
S
BT
8.9664 0 0 8.9664 394.0558 380.19 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(591665)Tj
ET
434.047 376.905 m
434.047 387.867 l
436.441 376.905 m
436.441 387.867 l
S
BT
8.9664 0 0 8.9664 441.6201 380.19 Tm
(1101)Tj
/F28 1 Tf
2.0556 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(1011)Tj
ET
560.461 376.905 m
560.461 387.867 l
336.658 365.943 m
336.658 376.905 l
359.302 365.943 m
359.302 376.905 l
S
BT
8.9664 0 0 8.9664 369.864 369.237 Tm
(134)Tj
ET
388.876 365.943 m
388.876 376.905 l
S
BT
8.9664 0 0 8.9664 394.0558 369.237 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(604018)Tj
ET
434.047 365.943 m
434.047 376.905 l
436.441 365.943 m
436.441 376.905 l
S
BT
8.9664 0 0 8.9664 441.6201 369.237 Tm
(1111)Tj
ET
560.461 365.943 m
560.461 376.905 l
336.658 354.99 m
336.658 365.952 l
359.302 354.99 m
359.302 365.952 l
S
BT
8.9664 0 0 8.9664 369.864 358.2751 Tm
(218)Tj
ET
388.876 354.99 m
388.876 365.952 l
S
BT
8.9664 0 0 8.9664 394.0558 358.2751 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(684471)Tj
ET
434.047 354.99 m
434.047 365.952 l
436.441 354.99 m
436.441 365.952 l
S
BT
8.9664 0 0 8.9664 441.6201 358.2751 Tm
(1001)Tj
ET
560.461 354.99 m
560.461 365.952 l
336.456 354.788 m
560.664 354.788 l
336.658 343.632 m
336.658 354.594 l
S
BT
8.9664 0 0 8.9664 345.672 346.917 Tm
(8)Tj
ET
359.302 343.632 m
359.302 354.594 l
S
BT
8.9664 0 0 8.9664 374.4719 346.917 Tm
(19)Tj
ET
388.876 343.632 m
388.876 354.594 l
S
BT
8.9664 0 0 8.9664 394.0558 346.917 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(267727)Tj
ET
434.047 343.632 m
434.047 354.594 l
436.441 343.632 m
436.441 354.594 l
S
BT
8.9664 0 0 8.9664 441.6201 346.917 Tm
(00000)Tj
ET
560.461 343.632 m
560.461 354.594 l
336.658 332.67 m
336.658 343.632 l
359.302 332.67 m
359.302 343.632 l
S
BT
8.9664 0 0 8.9664 374.472 335.955 Tm
(31)Tj
ET
388.876 332.67 m
388.876 343.632 l
S
BT
8.9664 0 0 8.9664 394.0558 335.955 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(676320)Tj
ET
434.047 332.67 m
434.047 343.632 l
436.441 332.67 m
436.441 343.632 l
S
BT
8.9664 0 0 8.9664 441.6202 335.955 Tm
(00001)Tj
/F28 1 Tf
2.5696 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(10000)Tj
ET
560.461 332.67 m
560.461 343.632 l
336.658 321.708 m
336.658 332.67 l
359.302 321.708 m
359.302 332.67 l
S
BT
8.9664 0 0 8.9664 374.472 325.002 Tm
(43)Tj
ET
388.876 321.708 m
388.876 332.67 l
S
BT
8.9664 0 0 8.9664 394.0558 325.002 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(458765)Tj
ET
434.047 321.708 m
434.047 332.67 l
436.441 321.708 m
436.441 332.67 l
S
BT
8.9664 0 0 8.9664 441.6202 325.002 Tm
(00011)Tj
/F28 1 Tf
2.5696 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(00010)Tj
/F28 1 Tf
2.5696 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(01000)Tj
/F28 1 Tf
2.5696 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(11000)Tj
ET
560.461 321.708 m
560.461 332.67 l
336.658 310.755 m
336.658 321.717 l
359.302 310.755 m
359.302 321.717 l
S
BT
8.9664 0 0 8.9664 374.472 314.04 Tm
(60)Tj
ET
388.876 310.755 m
388.876 321.717 l
S
BT
8.9664 0 0 8.9664 394.0558 314.04 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(410427)Tj
ET
434.047 310.755 m
434.047 321.717 l
436.441 310.755 m
436.441 321.717 l
S
BT
8.9664 0 0 8.9664 441.6202 314.04 Tm
(00110)Tj
/F28 1 Tf
2.5696 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(00100)Tj
/F28 1 Tf
2.5696 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(01100)Tj
ET
560.461 310.755 m
560.461 321.717 l
336.658 299.793 m
336.658 310.755 l
359.302 299.793 m
359.302 310.755 l
S
BT
8.9664 0 0 8.9664 374.472 303.078 Tm
(72)Tj
ET
388.876 299.793 m
388.876 310.755 l
S
BT
8.9664 0 0 8.9664 394.0558 303.078 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(563961)Tj
ET
434.047 299.793 m
434.047 310.755 l
436.441 299.793 m
436.441 310.755 l
S
BT
8.9664 0 0 8.9664 441.6202 303.078 Tm
(00111)Tj
/F28 1 Tf
2.5696 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(00101)Tj
/F28 1 Tf
2.5696 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(11100)Tj
/F28 1 Tf
2.5696 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(10100)Tj
ET
560.461 299.793 m
560.461 310.755 l
336.658 288.84 m
336.658 299.802 l
359.302 288.84 m
359.302 299.802 l
S
BT
8.9664 0 0 8.9664 369.864 292.125 Tm
(100)Tj
ET
388.876 288.84 m
388.876 299.802 l
S
BT
8.9664 0 0 8.9664 394.0558 292.125 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(535252)Tj
ET
434.047 288.84 m
434.047 299.802 l
436.441 288.84 m
436.441 299.802 l
S
BT
8.9664 0 0 8.9664 441.6201 292.125 Tm
(01101)Tj
/F28 1 Tf
2.5696 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(01110)Tj
/F28 1 Tf
2.5696 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(01010)Tj
/F28 1 Tf
2.5696 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(10110)Tj
ET
560.461 288.84 m
560.461 299.802 l
336.658 277.878 m
336.658 288.84 l
359.302 277.878 m
359.302 288.84 l
S
BT
8.9664 0 0 8.9664 369.864 281.163 Tm
(112)Tj
ET
388.876 277.878 m
388.876 288.84 l
S
BT
8.9664 0 0 8.9664 394.0558 281.163 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(518203)Tj
ET
434.047 277.878 m
434.047 288.84 l
436.441 277.878 m
436.441 288.84 l
S
BT
8.9664 0 0 8.9664 441.6201 281.163 Tm
(01111)Tj
/F28 1 Tf
2.5696 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(01011)Tj
/F28 1 Tf
2.5696 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(11010)Tj
/F28 1 Tf
2.5696 0 TD
(,)Tj
/F16 1 Tf
0.799 0 TD
(11110)Tj
ET
560.461 277.878 m
560.461 288.84 l
336.658 266.916 m
336.658 277.878 l
359.302 266.916 m
359.302 277.878 l
S
BT
8.9664 0 0 8.9664 369.864 270.201 Tm
(176)Tj
ET
388.876 266.916 m
388.876 277.878 l
S
BT
8.9664 0 0 8.9664 394.0558 270.201 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(612495)Tj
ET
434.047 266.916 m
434.047 277.878 l
436.441 266.916 m
436.441 277.878 l
S
BT
8.9664 0 0 8.9664 441.6201 270.201 Tm
(01001)Tj
ET
560.461 266.916 m
560.461 277.878 l
336.658 255.963 m
336.658 266.925 l
359.302 255.963 m
359.302 266.925 l
S
BT
8.9664 0 0 8.9664 369.864 259.248 Tm
(252)Tj
ET
388.876 255.963 m
388.876 266.925 l
S
BT
8.9664 0 0 8.9664 394.0558 259.248 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(646515)Tj
ET
434.047 255.963 m
434.047 266.925 l
436.441 255.963 m
436.441 266.925 l
S
BT
8.9664 0 0 8.9664 441.6201 259.248 Tm
(11001)Tj
ET
560.461 255.963 m
560.461 266.925 l
336.658 245.001 m
336.658 255.963 l
359.302 245.001 m
359.302 255.963 l
S
BT
8.9664 0 0 8.9664 369.864 248.286 Tm
(176)Tj
ET
388.876 245.001 m
388.876 255.963 l
S
BT
8.9664 0 0 8.9664 394.0558 248.286 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(612495)Tj
ET
434.047 245.001 m
434.047 255.963 l
436.441 245.001 m
436.441 255.963 l
S
BT
8.9664 0 0 8.9664 441.6201 248.286 Tm
(10010)Tj
ET
560.461 245.001 m
560.461 255.963 l
336.658 234.039 m
336.658 245.001 l
359.302 234.039 m
359.302 245.001 l
S
BT
8.9664 0 0 8.9664 369.864 237.333 Tm
(252)Tj
ET
388.876 234.039 m
388.876 245.001 l
S
BT
8.9664 0 0 8.9664 394.0558 237.333 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(646515)Tj
ET
434.047 234.039 m
434.047 245.001 l
436.441 234.039 m
436.441 245.001 l
S
BT
8.9664 0 0 8.9664 441.6201 237.333 Tm
(10011)Tj
ET
560.461 234.039 m
560.461 245.001 l
336.658 223.086 m
336.658 234.048 l
359.302 223.086 m
359.302 234.048 l
S
BT
8.9664 0 0 8.9664 369.864 226.371 Tm
(208)Tj
ET
388.876 223.086 m
388.876 234.048 l
S
BT
8.9664 0 0 8.9664 394.0558 226.371 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
0.2851 0 TD
(576220)Tj
ET
434.047 223.086 m
434.047 234.048 l
436.441 223.086 m
436.441 234.048 l
S
BT
8.9664 0 0 8.9664 441.6201 226.371 Tm
(11011)Tj
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157.63 538.914 m
157.63 549.876 l
S
BT
8.9664 0 0 8.9664 162.8007 542.199 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
/F16 1 Tf
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(671444)Tj
ET
202.801 538.914 m
202.801 549.876 l
S
BT
8.9664 0 0 8.9664 207.9801 542.199 Tm
(110001)Tj
ET
484.501 538.914 m
484.501 549.876 l
105.404 527.952 m
105.404 538.914 l
128.056 527.952 m
128.056 538.914 l
S
BT
8.9664 0 0 8.9664 138.618 531.2371 Tm
(310)Tj
ET
157.63 527.952 m
157.63 538.914 l
S
BT
8.9664 0 0 8.9664 162.8007 531.2371 Tm
(0)Tj
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0.5139 0 TD
(.)Tj
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(548079)Tj
ET
202.801 527.952 m
202.801 538.914 l
S
BT
8.9664 0 0 8.9664 207.9801 531.2371 Tm
(110011)Tj
ET
484.501 527.952 m
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105.404 516.99 m
105.404 527.952 l
128.056 516.99 m
128.056 527.952 l
S
BT
8.9664 0 0 8.9664 138.618 520.2841 Tm
(378)Tj
ET
157.63 516.99 m
157.63 527.952 l
S
BT
8.9664 0 0 8.9664 162.8007 520.2841 Tm
(0)Tj
/F28 1 Tf
0.5139 0 TD
(.)Tj
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(583547)Tj
ET
202.801 516.99 m
202.801 527.952 l
S
BT
8.9664 0 0 8.9664 207.9801 520.2841 Tm
(110111)Tj
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3.0835 0 TD
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(111011)Tj
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(101011)Tj
ET
484.501 516.99 m
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105.404 506.037 m
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S
BT
8.9664 0 0 8.9664 138.618 509.322 Tm
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ET
157.63 506.037 m
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S
BT
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ET
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BT
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3.0835 0 TD
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ET
484.501 506.037 m
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S
BT
8.9664 0 0 8.9664 138.618 498.36 Tm
(458)Tj
ET
157.63 495.075 m
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S
BT
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(0)Tj
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(.)Tj
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ET
202.801 495.075 m
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S
BT
8.9664 0 0 8.9664 207.9801 498.36 Tm
(111111)Tj
ET
484.501 495.075 m
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105.404 484.113 m
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128.056 484.113 m
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S
BT
8.9664 0 0 8.9664 138.618 487.407 Tm
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ET
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S
BT
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(0)Tj
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ET
202.801 484.113 m
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S
BT
8.9664 0 0 8.9664 207.9801 487.407 Tm
(111001)Tj
ET
484.501 484.113 m
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128.056 473.16 m
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S
BT
8.9664 0 0 8.9664 138.618 476.445 Tm
(722)Tj
ET
157.63 473.16 m
157.63 484.122 l
S
BT
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(0)Tj
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(.)Tj
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ET
202.801 473.16 m
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S
BT
8.9664 0 0 8.9664 207.9801 476.445 Tm
(101001)Tj
ET
484.501 473.16 m
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128.056 462.198 m
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S
BT
8.9664 0 0 8.9664 138.618 465.483 Tm
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ET
157.63 462.198 m
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S
BT
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(0)Tj
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(.)Tj
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ET
202.801 462.198 m
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S
BT
8.9664 0 0 8.9664 207.9801 465.483 Tm
(101101)Tj
ET
484.501 462.198 m
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105.404 451.236 m
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128.056 451.236 m
128.056 462.198 l
S
BT
8.9664 0 0 8.9664 138.618 454.53 Tm
(722)Tj
ET
157.63 451.236 m
157.63 462.198 l
S
BT
8.9664 0 0 8.9664 162.8007 454.53 Tm
(0)Tj
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0.5139 0 TD
(.)Tj
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(668611)Tj
ET
202.801 451.236 m
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S
BT
8.9664 0 0 8.9664 207.9801 454.53 Tm
(100101)Tj
ET
484.501 451.236 m
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128.056 440.283 m
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S
BT
8.9664 0 0 8.9664 138.618 443.568 Tm
(650)Tj
ET
157.63 440.283 m
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S
BT
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ET
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S
BT
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(100111)Tj
ET
484.501 440.283 m
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105.404 429.321 m
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BT
8.9664 0 0 8.9664 138.618 432.606 Tm
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S
BT
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(0)Tj
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ET
202.801 429.321 m
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BT
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(100010)Tj
ET
484.501 429.321 m
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BT
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(100001)Tj
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484.501 407.406 m
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BT
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ET
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S
Q
q
65.867 279.815 194.653 87.56 re
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S
Q
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S
q
65.867 279.815 194.653 87.56 re
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S
Q
q
65.867 279.815 194.653 87.56 re
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Q
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S
q
65.867 279.815 194.653 87.56 re
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S
Q
q
65.867 279.815 194.653 87.56 re
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S
Q
q
65.867 279.815 194.653 87.56 re
W n
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121.888 297.002 l
S
Q
q
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S
Q
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200.165 295.093 m
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S
1 1 1 rg
195.703 297 m
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193.727 295.727 193.157 296.297 193.157 297 c
193.157 297.703 193.727 298.273 194.43 298.273 c
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b*
207.163 297 m
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206.593 298.273 207.163 297.703 207.163 297 c
b*
228.163 297 m
228.163 296.297 227.593 295.727 226.89 295.727 c
226.187 295.727 225.617 296.297 225.617 297 c
225.617 297.703 226.187 298.273 226.89 298.273 c
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b*
214.813 342.825 m
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214.243 344.098 214.813 343.528 214.813 342.825 c
b*
209.083 319.905 m
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b*
203.353 331.365 m
203.353 330.662 202.783 330.092 202.08 330.092 c
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200.807 332.068 201.377 332.638 202.08 332.638 c
202.783 332.638 203.353 332.068 203.353 331.365 c
b*
214.813 314.175 m
214.813 313.472 214.243 312.902 213.54 312.902 c
212.837 312.902 212.267 313.472 212.267 314.175 c
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214.243 315.448 214.813 314.878 214.813 314.175 c
b*
237.703 319.905 m
237.703 319.202 237.133 318.632 236.43 318.632 c
235.727 318.632 235.157 319.202 235.157 319.905 c
235.157 320.608 235.727 321.178 236.43 321.178 c
237.133 321.178 237.703 320.608 237.703 319.905 c
b*
191.893 333.285 m
191.893 332.582 191.323 332.012 190.62 332.012 c
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189.347 333.988 189.917 334.558 190.62 334.558 c
191.323 334.558 191.893 333.988 191.893 333.285 c
b*
191.893 312.285 m
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189.347 312.988 189.917 313.558 190.62 313.558 c
191.323 313.558 191.893 312.988 191.893 312.285 c
b*
191.893 300.825 m
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189.917 299.552 189.347 300.122 189.347 300.825 c
189.347 301.528 189.917 302.098 190.62 302.098 c
191.323 302.098 191.893 301.528 191.893 300.825 c
b*
0 g
199.528 316.095 m
199.528 315.392 198.958 314.822 198.255 314.822 c
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196.982 316.798 197.552 317.368 198.255 317.368 c
198.958 317.368 199.528 316.798 199.528 316.095 c
b*
203.353 316.095 m
203.353 315.392 202.783 314.822 202.08 314.822 c
201.377 314.822 200.807 315.392 200.807 316.095 c
200.807 316.798 201.377 317.368 202.08 317.368 c
202.783 317.368 203.353 316.798 203.353 316.095 c
b*
199.528 323.73 m
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196.982 324.433 197.552 325.003 198.255 325.003 c
198.958 325.003 199.528 324.433 199.528 323.73 c
b*
203.353 323.73 m
203.353 323.027 202.783 322.457 202.08 322.457 c
201.377 322.457 200.807 323.027 200.807 323.73 c
200.807 324.433 201.377 325.003 202.08 325.003 c
202.783 325.003 203.353 324.433 203.353 323.73 c
b*
210.973 308.445 m
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208.427 309.148 208.997 309.718 209.7 309.718 c
210.403 309.718 210.973 309.148 210.973 308.445 c
b*
210.973 304.635 m
210.973 303.932 210.403 303.362 209.7 303.362 c
208.997 303.362 208.427 303.932 208.427 304.635 c
208.427 305.338 208.997 305.908 209.7 305.908 c
210.403 305.908 210.973 305.338 210.973 304.635 c
b*
218.623 304.635 m
218.623 303.932 218.053 303.362 217.35 303.362 c
216.647 303.362 216.077 303.932 216.077 304.635 c
216.077 305.338 216.647 305.908 217.35 305.908 c
218.053 305.908 218.623 305.338 218.623 304.635 c
b*
218.623 308.445 m
218.623 307.742 218.053 307.172 217.35 307.172 c
216.647 307.172 216.077 307.742 216.077 308.445 c
216.077 309.148 216.647 309.718 217.35 309.718 c
218.053 309.718 218.623 309.148 218.623 308.445 c
b*
0.636 w
73.523 299.548 m
78.614 294.456 l
78.614 299.548 m
73.523 294.456 l
S
0.318 w
93.251 298.911 m
97.069 295.093 l
97.069 298.911 m
93.251 295.093 l
119.979 298.911 m
123.798 295.093 l
123.798 298.911 m
119.979 295.093 l
74.159 344.732 m
77.977 340.913 l
77.977 344.732 m
74.159 340.913 l
74.159 318.003 m
77.977 314.185 l
77.977 318.003 m
74.159 314.185 l
74.159 306.548 m
77.977 302.73 l
77.977 306.548 m
74.159 302.73 l
81.796 298.911 m
85.614 295.093 l
85.614 298.911 m
81.796 295.093 l
S
84.973 323.73 m
84.973 323.027 84.403 322.457 83.7 322.457 c
82.997 322.457 82.427 323.027 82.427 323.73 c
82.427 324.433 82.997 325.003 83.7 325.003 c
84.403 325.003 84.973 324.433 84.973 323.73 c
b*
88.798 323.73 m
88.798 323.027 88.228 322.457 87.525 322.457 c
86.822 322.457 86.252 323.027 86.252 323.73 c
86.252 324.433 86.822 325.003 87.525 325.003 c
88.228 325.003 88.798 324.433 88.798 323.73 c
b*
88.798 316.095 m
88.798 315.392 88.228 314.822 87.525 314.822 c
86.822 314.822 86.252 315.392 86.252 316.095 c
86.252 316.798 86.822 317.368 87.525 317.368 c
88.228 317.368 88.798 316.798 88.798 316.095 c
b*
84.973 316.095 m
84.973 315.392 84.403 314.822 83.7 314.822 c
82.997 314.822 82.427 315.392 82.427 316.095 c
82.427 316.798 82.997 317.368 83.7 317.368 c
84.403 317.368 84.973 316.798 84.973 316.095 c
b*
104.068 308.445 m
104.068 307.742 103.498 307.172 102.795 307.172 c
102.092 307.172 101.522 307.742 101.522 308.445 c
101.522 309.148 102.092 309.718 102.795 309.718 c
103.498 309.718 104.068 309.148 104.068 308.445 c
b*
96.433 308.445 m
96.433 307.742 95.863 307.172 95.16 307.172 c
94.457 307.172 93.887 307.742 93.887 308.445 c
93.887 309.148 94.457 309.718 95.16 309.718 c
95.863 309.718 96.433 309.148 96.433 308.445 c
b*
96.433 304.635 m
96.433 303.932 95.863 303.362 95.16 303.362 c
94.457 303.362 93.887 303.932 93.887 304.635 c
93.887 305.338 94.457 305.908 95.16 305.908 c
95.863 305.908 96.433 305.338 96.433 304.635 c
b*
104.068 304.635 m
104.068 303.932 103.498 303.362 102.795 303.362 c
102.092 303.362 101.522 303.932 101.522 304.635 c
101.522 305.338 102.092 305.908 102.795 305.908 c
103.498 305.908 104.068 305.338 104.068 304.635 c
b*
1 1 1 rg
81.163 297 m
81.163 296.297 80.593 295.727 79.89 295.727 c
79.187 295.727 78.617 296.297 78.617 297 c
78.617 297.703 79.187 298.273 79.89 298.273 c
80.593 298.273 81.163 297.703 81.163 297 c
b*
92.623 297 m
92.623 296.297 92.053 295.727 91.35 295.727 c
90.647 295.727 90.077 296.297 90.077 297 c
90.077 297.703 90.647 298.273 91.35 298.273 c
92.053 298.273 92.623 297.703 92.623 297 c
b*
107.893 297 m
107.893 296.297 107.323 295.727 106.62 295.727 c
105.917 295.727 105.347 296.297 105.347 297 c
105.347 297.703 105.917 298.273 106.62 298.273 c
107.323 298.273 107.893 297.703 107.893 297 c
b*
111.703 308.445 m
111.703 307.742 111.133 307.172 110.43 307.172 c
109.727 307.172 109.157 307.742 109.157 308.445 c
109.157 309.148 109.727 309.718 110.43 309.718 c
111.133 309.718 111.703 309.148 111.703 308.445 c
b*
77.353 312.285 m
77.353 311.582 76.783 311.012 76.08 311.012 c
75.377 311.012 74.807 311.582 74.807 312.285 c
74.807 312.988 75.377 313.558 76.08 313.558 c
76.783 313.558 77.353 312.988 77.353 312.285 c
b*
92.623 323.73 m
92.623 323.027 92.053 322.457 91.35 322.457 c
90.647 322.457 90.077 323.027 90.077 323.73 c
90.077 324.433 90.647 325.003 91.35 325.003 c
92.053 325.003 92.623 324.433 92.623 323.73 c
b*
123.163 327.555 m
123.163 326.852 122.593 326.282 121.89 326.282 c
121.187 326.282 120.617 326.852 120.617 327.555 c
120.617 328.258 121.187 328.828 121.89 328.828 c
122.593 328.828 123.163 328.258 123.163 327.555 c
b*
119.353 342.825 m
119.353 342.122 118.783 341.552 118.08 341.552 c
117.377 341.552 116.807 342.122 116.807 342.825 c
116.807 343.528 117.377 344.098 118.08 344.098 c
118.783 344.098 119.353 343.528 119.353 342.825 c
b*
104.068 339.015 m
104.068 338.312 103.498 337.742 102.795 337.742 c
102.092 337.742 101.522 338.312 101.522 339.015 c
101.522 339.718 102.092 340.288 102.795 340.288 c
103.498 340.288 104.068 339.718 104.068 339.015 c
b*
77.353 339.015 m
77.353 338.312 76.783 337.742 76.08 337.742 c
75.377 337.742 74.807 338.312 74.807 339.015 c
74.807 339.718 75.377 340.288 76.08 340.288 c
76.783 340.288 77.353 339.718 77.353 339.015 c
b*
77.353 300.825 m
77.353 300.122 76.783 299.552 76.08 299.552 c
75.377 299.552 74.807 300.122 74.807 300.825 c
74.807 301.528 75.377 302.098 76.08 302.098 c
76.783 302.098 77.353 301.528 77.353 300.825 c
b*
EMC
BT
/F20 1 Tf
8.0523 0 0 8.0523 93.994 281.7545 Tm
0 0 0 rg
-0.0003 Tc
[(\(a\))-13180.2(\()-0.9(b\))]TJ
ET
EMC
BT
/F3 1 Tf
8.9664 0 0 8.9664 49.869 260.472 Tm
0 0 0 1 k
0 Tc
[(FIGURE)-280.9(8)]TJ
/F2 1 Tf
9.9626 0 0 9.9626 88.7574 260.472 Tm
(.)Tj
/F16 1 Tf
8.9664 0 0 8.9664 96.0294 260.472 Tm
-0.0001 Tc
[(The)-344.9(h)-0.2(omo)-28.2(c)0(linic)-346.3(orbit)]TJ
ET
0 0 0 1 K
0.387 w
183.924 267.578 m
188.532 267.578 l
S
BT
8.9664 0 0 8.9664 183.922 260.472 Tm
0 Tc
(0110111)Tj
ET
216.18 267.578 m
220.788 267.578 l
S
BT
8.9664 0 0 8.9664 216.1774 260.472 Tm
0.0001 Tc
[(0)-345.2(f)0(orces)-345.3(t)0.3(he)-344.7(or-)]TJ
-18.548 -1.2226 TD
-0.0002 Tc
(bits)Tj
ET
67.842 256.616 m
72.45 256.616 l
S
BT
8.9664 0 0 8.9664 67.8417 249.51 Tm
0 Tc
(01)Tj
/F25 1 Tf
5.9776 0 0 5.9776 77.058 253.317 Tm
(0)Tj
0 -0.9004 TD
(1)Tj
/F16 1 Tf
8.9664 0 0 8.9664 81.207 249.51 Tm
(0)Tj
/F25 1 Tf
5.9776 0 0 5.9776 85.815 253.317 Tm
(0)Tj
T*
(1)Tj
/F16 1 Tf
8.9664 0 0 8.9664 89.964 249.51 Tm
(1)Tj
ET
94.572 256.616 m
99.18 256.616 l
S
BT
8.9664 0 0 8.9664 94.5719 249.51 Tm
(0.)Tj
/F2 1 Tf
9.9626 0 0 9.9626 40.905 217.938 Tm
-0.0001 Tc
[(signature)-379.5(up)-378.6(to)-379.1(5)-378.2(f)0.1(orced)-378.6(b)27.9(y)-379.3(the)-378.6(o)0.3(rbit.)-581.4(In)-377.7(particular,)-391.7(w)28.3(e)]TJ
0 -1.3 TD
[(see)-337.1(t)0.3(hat)-337.5(t)0.3(he)-337.1(orbit)]TJ
ET
0.405 w
120.276 212.804 m
125.262 212.804 l
S
BT
9.9626 0 0 9.9626 120.2769 204.987 Tm
-0.0003 Tc
(011111)Tj
ET
150.147 212.804 m
155.133 212.804 l
S
BT
9.9626 0 0 9.9626 150.1483 204.987 Tm
-0.0001 Tc
[(0)-339.3(f)0.1(orces)-337.4(the)-337.1(o)0.3(rbits)]TJ
ET
232.119 212.804 m
237.105 212.804 l
S
BT
9.9626 0 0 9.9626 232.1211 204.987 Tm
-0.0004 Tc
(01)Tj
/F6 1 Tf
6.9738 0 0 6.9738 242.073 208.6051 Tm
0 Tc
(0)Tj
0 -0.8737 TD
(1)Tj
/F2 1 Tf
9.9626 0 0 9.9626 246.546 204.987 Tm
-0.0004 Tc
(11)Tj
/F6 1 Tf
6.9738 0 0 6.9738 256.5 208.6051 Tm
0 Tc
(0)Tj
T*
(1)Tj
/F2 1 Tf
9.9626 0 0 9.9626 260.982 204.987 Tm
(1)Tj
ET
265.959 212.804 m
270.945 212.804 l
S
BT
9.9626 0 0 9.9626 265.959 204.987 Tm
0.0004 Tc
[(0,)-337(so)]TJ
-22.5898 -1.3 TD
-0.0002 Tc
[(the)-431.1(h)-0.2(omo)-27.8(clinic)-433.8(braid)-432(t)28.2(y)0(p)-28.2(e)-431.1(with)-432.9(decoration)-432(1)-431.6(f)0(orces)-431.4(the)]TJ
T*
[(homo)-27.8(clinic)-500.7(braid)-498(t)28.2(y)0(p)-28.2(e)-498.9(with)-499.8(decoration)-499.8(11.)-938.4(The)-498.9(other)]TJ
T*
[(homo)-27.8(clinic)-340.8(braid)-339.9(t)28.2(y)0(p)-28.2(e)-0.2(s)-339.3(with)-339.9(signature)-339.9(less)-338.4(than)-339.9(5)-338.5(f)0(orced)]TJ
T*
[(b)27.8(y)-386.6(the)-386.9(b)-0.2(raid)-386.9(t)28.2(y)0(p)-28.2(e)-386.9(with)-387.8(decoration)-387.8(1)-386.4(h)-0.2(a)28.2(v)28(e)-386.9(decorations)]TJ
/F13 1 Tf
24.0445 0 TD
0 Tc
()Tj
/F2 1 Tf
0.2773 0 TD
(,)Tj
-24.3218 -1.3 TD
-0.0003 Tc
[(0,)-334.1(and)-333.7(00.)]TJ
/F3 1 Tf
0 -2.9305 TD
[(6.)-1201.1(CONCLUSIONS)-279.9(A)0(ND)-278.4(FUR)18.1(T)0.1(HER)-280.9(R)0(ESEARCH)]TJ
/F2 1 Tf
0 -1.8998 TD
-0.0001 Tc
[(W)82.7(e)-380.4(ha)28.3(v)28.1(e)-382.2(describ)-28.1(ed)-380.4(a)-380.9(n)27.9(umerical)-382.7(metho)-27.7(d)-381.4(for)-381.7(determining)]TJ
0 -1.3 TD
-0.0002 Tc
[(the)-462.7(f)0(orcing)-462.3(relation)-463.7(for)-463.1(h)-0.2(omo)-27.8(clinic)-463.7(orbits)-463.1(of)-462.5(the)-462.7(S)-0.2(male)]TJ
ET
/EmbeddedDocument /MC17 BDC
/EmbeddedDocument /MC18 BDC
q
328.877 279.815 194.653 87.56 re
W n
0.523 0.508 0.523 RG
1.273 w
384.898 297.002 m
384.898 291.733 380.622 287.456 375.353 287.456 c
370.083 287.456 365.807 291.733 365.807 297.002 c
339.078 342.822 m
339.078 355.469 349.342 365.733 361.988 365.733 c
374.635 365.733 384.898 355.469 384.898 342.822 c
358.17 342.822 m
358.17 344.93 359.881 346.641 361.988 346.641 c
364.096 346.641 365.807 344.93 365.807 342.822 c
358.17 297.002 m
358.17 294.894 356.459 293.184 354.352 293.184 c
352.244 293.184 350.533 294.894 350.533 297.002 c
346.715 342.822 m
346.715 351.253 353.557 358.096 361.988 358.096 c
370.419 358.096 377.262 351.253 377.262 342.822 c
350.533 342.822 m
350.533 349.146 355.665 354.278 361.988 354.278 c
368.311 354.278 373.443 349.146 373.443 342.822 c
377.262 297.002 m
377.262 295.948 376.406 295.093 375.353 295.093 c
374.299 295.093 373.443 295.948 373.443 297.002 c
339.078 297.002 m
339.078 342.822 l
S
Q
q
328.877 279.815 194.653 87.56 re
337.169 300.184 m
340.987 300.184 l
340.987 306.887 l
339.078 301.796 l
337.169 306.887 l
W* n
0.523 0.508 0.523 RG
1.273 w
339.078 306.548 m
339.078 300.82 l
S
Q
0.523 0.508 0.523 RG
0.636 w
337.169 306.887 m
339.078 301.796 l
340.987 306.887 l
S
q
328.877 279.815 194.653 87.56 re
W n
1.273 w
358.17 297.002 m
358.17 342.822 l
365.807 297.002 m
365.807 342.822 l
384.898 297.002 m
384.898 342.822 l
350.533 297.002 m
350.533 342.822 l
346.715 297.002 m
346.715 342.822 l
373.443 297.002 m
373.443 342.822 l
377.262 297.002 m
377.262 342.822 l
499.449 297.002 m
499.449 291.733 495.173 287.456 489.903 287.456 c
484.634 287.456 480.358 291.733 480.358 297.002 c
453.629 342.822 m
453.629 355.469 463.893 365.733 476.539 365.733 c
489.186 365.733 499.449 355.469 499.449 342.822 c
472.721 297.002 m
472.721 294.894 471.01 293.184 468.902 293.184 c
466.795 293.184 465.084 294.894 465.084 297.002 c
472.721 329.458 m
472.721 331.566 474.431 333.277 476.539 333.277 c
478.647 333.277 480.358 331.566 480.358 329.458 c
491.813 321.821 m
491.813 320.768 490.957 319.912 489.903 319.912 c
488.85 319.912 487.994 320.768 487.994 321.821 c
461.266 342.822 m
461.266 351.253 468.108 358.096 476.539 358.096 c
484.97 358.096 491.813 351.253 491.813 342.822 c
465.084 342.822 m
465.084 349.146 470.216 354.278 476.539 354.278 c
482.862 354.278 487.994 349.146 487.994 342.822 c
453.629 297.002 m
453.629 342.822 l
S
Q
q
328.877 279.815 194.653 87.56 re
451.72 300.184 m
455.538 300.184 l
455.538 306.887 l
453.629 301.796 l
451.72 306.887 l
W* n
1.273 w
453.629 306.548 m
453.629 300.82 l
S
Q
451.72 306.887 m
453.629 301.796 l
455.538 306.887 l
S
q
328.877 279.815 194.653 87.56 re
W n
1.273 w
472.721 297.002 m
472.721 329.458 l
480.358 297.002 m
480.358 329.458 l
499.449 297.002 m
499.449 342.822 l
461.266 297.002 m
461.266 342.822 l
487.994 321.821 m
487.994 342.822 l
491.813 321.821 m
491.813 342.822 l
465.084 297.002 m
465.084 342.822 l
S
0.254 0.254 0.254 RG
0.636 w
339.078 342.822 m
333.809 342.822 329.532 338.546 329.532 333.277 c
329.532 328.007 333.809 323.731 339.078 323.731 c
384.898 316.094 m
387.006 316.094 388.717 317.805 388.717 319.912 c
388.717 322.02 387.006 323.731 384.898 323.731 c
384.898 297.002 m
397.545 297.002 407.809 307.266 407.809 319.912 c
407.809 332.559 397.545 342.822 384.898 342.822 c
384.898 308.457 m
391.222 308.457 396.354 313.589 396.354 319.912 c
396.354 326.235 391.222 331.367 384.898 331.367 c
384.898 304.639 m
393.329 304.639 400.172 311.481 400.172 319.912 c
400.172 328.343 393.329 335.186 384.898 335.186 c
339.078 335.186 m
338.024 335.186 337.169 334.33 337.169 333.277 c
337.169 332.223 338.024 331.367 339.078 331.367 c
339.078 316.094 m
336.97 316.094 335.26 314.383 335.26 312.276 c
335.26 310.168 336.97 308.457 339.078 308.457 c
331.441 297.002 m
384.898 297.002 l
S
Q
q
328.877 279.815 194.653 87.56 re
349.26 295.093 m
349.26 298.911 l
342.557 298.911 l
347.648 297.002 l
342.557 295.093 l
W* n
0.254 0.254 0.254 RG
342.896 297.002 m
348.624 297.002 l
S
Q
0.254 0.254 0.254 RG
342.557 295.093 m
347.648 297.002 l
342.557 298.911 l
339.078 323.731 m
384.898 323.731 l
339.078 342.822 m
384.898 342.822 l
339.078 316.094 m
384.898 316.094 l
339.078 331.367 m
384.898 331.367 l
339.078 335.186 m
384.898 335.186 l
339.078 308.457 m
384.898 308.457 l
337.169 304.639 m
384.898 304.639 l
453.629 342.822 m
448.36 342.822 444.083 338.546 444.083 333.277 c
444.083 328.007 448.36 323.731 453.629 323.731 c
453.629 316.094 m
451.521 316.094 449.811 314.383 449.811 312.276 c
449.811 310.168 451.521 308.457 453.629 308.457 c
499.449 304.639 m
507.88 304.639 514.723 311.481 514.723 319.912 c
514.723 328.343 507.88 335.186 499.449 335.186 c
499.449 308.457 m
505.773 308.457 510.904 313.589 510.904 319.912 c
510.904 326.235 505.773 331.367 499.449 331.367 c
478.448 335.186 m
477.395 335.186 476.539 334.33 476.539 333.277 c
476.539 332.223 477.395 331.367 478.448 331.367 c
486.085 316.094 m
488.193 316.094 489.903 317.805 489.903 319.912 c
489.903 322.02 488.193 323.731 486.085 323.731 c
445.992 297.002 m
499.449 297.002 l
S
q
328.877 279.815 194.653 87.56 re
463.811 295.093 m
463.811 298.911 l
457.108 298.911 l
462.199 297.002 l
457.108 295.093 l
W* n
457.447 297.002 m
463.175 297.002 l
S
Q
q
328.877 279.815 194.653 87.56 re
W n
457.108 295.093 m
462.199 297.002 l
457.108 298.911 l
453.629 323.731 m
486.085 323.731 l
453.629 342.822 m
499.449 342.822 l
453.629 316.094 m
486.085 316.094 l
453.629 308.457 m
499.449 308.457 l
451.72 304.639 m
499.449 304.639 l
478.448 331.367 m
499.449 331.367 l
478.448 335.186 m
499.449 335.186 l
499.449 297.002 m
512.096 297.002 522.36 307.266 522.36 319.912 c
522.36 332.559 512.096 342.822 499.449 342.822 c
S
Q
0 0 0 RG
336.533 299.548 m
341.624 294.456 l
341.624 299.548 m
336.533 294.456 l
S
0.318 w
356.261 298.911 m
360.079 295.093 l
360.079 298.911 m
356.261 295.093 l
382.989 298.911 m
386.808 295.093 l
386.808 298.911 m
382.989 295.093 l
337.169 344.732 m
340.987 340.913 l
340.987 344.732 m
337.169 340.913 l
337.169 318.003 m
340.987 314.185 l
340.987 318.003 m
337.169 314.185 l
337.169 306.548 m
340.987 302.73 l
340.987 306.548 m
337.169 302.73 l
344.806 298.911 m
348.624 295.093 l
348.624 298.911 m
344.806 295.093 l
S
1 1 1 rg
344.173 297 m
344.173 296.297 343.603 295.727 342.9 295.727 c
342.197 295.727 341.627 296.297 341.627 297 c
341.627 297.703 342.197 298.273 342.9 298.273 c
343.603 298.273 344.173 297.703 344.173 297 c
b*
355.633 297 m
355.633 296.297 355.063 295.727 354.36 295.727 c
353.657 295.727 353.087 296.297 353.087 297 c
353.087 297.703 353.657 298.273 354.36 298.273 c
355.063 298.273 355.633 297.703 355.633 297 c
b*
340.363 312.285 m
340.363 311.582 339.793 311.012 339.09 311.012 c
338.387 311.012 337.817 311.582 337.817 312.285 c
337.817 312.988 338.387 313.558 339.09 313.558 c
339.793 313.558 340.363 312.988 340.363 312.285 c
b*
340.363 300.825 m
340.363 300.122 339.793 299.552 339.09 299.552 c
338.387 299.552 337.817 300.122 337.817 300.825 c
337.817 301.528 338.387 302.098 339.09 302.098 c
339.793 302.098 340.363 301.528 340.363 300.825 c
b*
367.078 331.365 m
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T*
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