id	sid	tid	token	lemma	pos
ap-1277	1	1	ap-5-10.dvi	ap-5-10.dvi	PROPN
ap-1277	1	2	acta	acta	PROPN
ap-1277	1	3	polytechnica	polytechnica	PROPN
ap-1277	1	4	vol	vol	NOUN
ap-1277	1	5	.	.	PROPN
ap-1277	2	1	50	50	NUM
ap-1277	2	2	no	no	NOUN
ap-1277	2	3	.	.	PUNCT
ap-1277	3	1	5/2010	5/2010	NUM
ap-1277	3	2	rectifiable	rectifiable	ADJ
ap-1277	3	3	pt	pt	X
ap-1277	3	4	-symmetric	-symmetric	ADJ
ap-1277	3	5	quantum	quantum	NOUN
ap-1277	3	6	toboggans	toboggan	NOUN
ap-1277	3	7	with	with	ADP
ap-1277	3	8	two	two	NUM
ap-1277	3	9	branch	branch	NOUN
ap-1277	3	10	points	point	NOUN
ap-1277	3	11	m.	m.	NOUN
ap-1277	3	12	znojil	znojil	PROPN
ap-1277	3	13	abstract	abstract	ADJ
ap-1277	3	14	certain	certain	ADJ
ap-1277	3	15	complex	complex	ADJ
ap-1277	3	16	-	-	PUNCT
ap-1277	3	17	contour	contour	NOUN
ap-1277	3	18	(	(	PUNCT
ap-1277	3	19	a.k.a	a.k.a	ADJ
ap-1277	3	20	.	.	PUNCT
ap-1277	3	21	quantum	quantum	NOUN
ap-1277	3	22	-	-	PUNCT
ap-1277	3	23	toboggan	toboggan	NOUN
ap-1277	3	24	)	)	PUNCT
ap-1277	3	25	generalizations	generalization	NOUN
ap-1277	3	26	of	of	ADP
ap-1277	3	27	schrödinger	schrödinger	NOUN
ap-1277	3	28	’s	’s	PART
ap-1277	3	29	bound	bind	VERB
ap-1277	3	30	-	-	PUNCT
ap-1277	3	31	state	state	NOUN
ap-1277	3	32	problem	problem	NOUN
ap-1277	3	33	are	be	AUX
ap-1277	3	34	reviewed	review	VERB
ap-1277	3	35	and	and	CCONJ
ap-1277	3	36	studied	study	VERB
ap-1277	3	37	in	in	ADP
ap-1277	3	38	detail	detail	NOUN
ap-1277	3	39	.	.	PUNCT
ap-1277	4	1	our	our	PRON
ap-1277	4	2	key	key	ADJ
ap-1277	4	3	message	message	NOUN
ap-1277	4	4	is	be	AUX
ap-1277	4	5	that	that	SCONJ
ap-1277	4	6	the	the	DET
ap-1277	4	7	practical	practical	ADJ
ap-1277	4	8	numerical	numerical	ADJ
ap-1277	4	9	solution	solution	NOUN
ap-1277	4	10	of	of	ADP
ap-1277	4	11	these	these	DET
ap-1277	4	12	atypical	atypical	ADJ
ap-1277	4	13	eigenvalue	eigenvalue	NOUN
ap-1277	4	14	problems	problem	NOUN
ap-1277	4	15	may	may	AUX
ap-1277	4	16	perceivably	perceivably	ADV
ap-1277	4	17	be	be	AUX
ap-1277	4	18	facilitated	facilitate	VERB
ap-1277	4	19	via	via	ADP
ap-1277	4	20	an	an	DET
ap-1277	4	21	appropriate	appropriate	ADJ
ap-1277	4	22	complex	complex	ADJ
ap-1277	4	23	change	change	NOUN
ap-1277	4	24	of	of	ADP
ap-1277	4	25	variables	variable	NOUN
ap-1277	4	26	which	which	PRON
ap-1277	4	27	maps	map	VERB
ap-1277	4	28	their	their	PRON
ap-1277	4	29	multi	multi	ADJ
ap-1277	4	30	-	-	ADJ
ap-1277	4	31	sheeted	sheeted	ADJ
ap-1277	4	32	complex	complex	ADJ
ap-1277	4	33	domain	domain	NOUN
ap-1277	4	34	of	of	ADP
ap-1277	4	35	definition	definition	NOUN
ap-1277	4	36	to	to	ADP
ap-1277	4	37	a	a	DET
ap-1277	4	38	suitable	suitable	ADJ
ap-1277	4	39	single	single	ADJ
ap-1277	4	40	-	-	PUNCT
ap-1277	4	41	sheeted	sheeted	ADJ
ap-1277	4	42	complex	complex	ADJ
ap-1277	4	43	plane	plane	NOUN
ap-1277	4	44	.	.	PUNCT
ap-1277	5	1	keywords	keyword	NOUN
ap-1277	5	2	:	:	PUNCT
ap-1277	5	3	quantum	quantum	ADJ
ap-1277	5	4	bound	bind	VERB
ap-1277	5	5	-	-	PUNCT
ap-1277	5	6	state	state	NOUN
ap-1277	5	7	models	model	NOUN
ap-1277	5	8	,	,	PUNCT
ap-1277	5	9	wave	wave	NOUN
ap-1277	5	10	-	-	PUNCT
ap-1277	5	11	functions	function	NOUN
ap-1277	5	12	with	with	ADP
ap-1277	5	13	branch	branch	NOUN
ap-1277	5	14	-	-	PUNCT
ap-1277	5	15	points	point	NOUN
ap-1277	5	16	,	,	PUNCT
ap-1277	5	17	complex	complex	ADJ
ap-1277	5	18	-	-	PUNCT
ap-1277	5	19	contour	contour	NOUN
ap-1277	5	20	coordinates	coordinate	NOUN
ap-1277	5	21	,	,	PUNCT
ap-1277	5	22	pt	pt	NOUN
ap-1277	5	23	-	-	PUNCT
ap-1277	5	24	symmetry	symmetry	NOUN
ap-1277	5	25	,	,	PUNCT
ap-1277	5	26	tobogganic	tobogganic	ADJ
ap-1277	5	27	hamiltonians	hamiltonian	NOUN
ap-1277	5	28	,	,	PUNCT
ap-1277	5	29	winding	wind	VERB
ap-1277	5	30	descriptors	descriptor	NOUN
ap-1277	5	31	,	,	PUNCT
ap-1277	5	32	single	single	ADJ
ap-1277	5	33	-	-	PUNCT
ap-1277	5	34	sheet	sheet	NOUN
ap-1277	5	35	maps	map	NOUN
ap-1277	5	36	,	,	PUNCT
ap-1277	5	37	sturm	sturm	PROPN
ap-1277	5	38	-	-	PUNCT
ap-1277	5	39	schrödinger	schrödinger	ADJ
ap-1277	5	40	equations	equation	NOUN
ap-1277	5	41	.	.	PUNCT
ap-1277	6	1	1	1	NUM
ap-1277	6	2	introduction	introduction	NOUN
ap-1277	6	3	the	the	DET
ap-1277	6	4	one	one	NUM
ap-1277	6	5	-	-	PUNCT
ap-1277	6	6	dimensional	dimensional	ADJ
ap-1277	6	7	schrödinger	schrödinger	NOUN
ap-1277	6	8	equation	equation	NOUN
ap-1277	6	9	for	for	ADP
ap-1277	6	10	bound	bind	VERB
ap-1277	6	11	states	state	NOUN
ap-1277	6	12	−	−	NOUN
ap-1277	6	13	h̄2	h̄2	NUM
ap-1277	6	14	2	2	NUM
ap-1277	6	15	m	m	NOUN
ap-1277	6	16	d2	d2	PROPN
ap-1277	6	17	dx2	dx2	PROPN
ap-1277	6	18	ψn(x	ψn(x	PUNCT
ap-1277	6	19	)	)	PUNCT
ap-1277	7	1	+	+	CCONJ
ap-1277	7	2	v	v	X
ap-1277	7	3	(	(	PUNCT
ap-1277	7	4	x)ψn(x	x)ψn(x	NUM
ap-1277	7	5	)	)	PUNCT
ap-1277	7	6	=	=	PUNCT
ap-1277	7	7	en	en	X
ap-1277	7	8	ψn(x	ψn(x	ADP
ap-1277	7	9	)	)	PUNCT
ap-1277	7	10	,	,	PUNCT
ap-1277	7	11	(	(	PUNCT
ap-1277	7	12	1	1	X
ap-1277	7	13	)	)	PUNCT
ap-1277	7	14	ψn(x	ψn(x	X
ap-1277	7	15	)	)	PUNCT
ap-1277	7	16	∈	∈	PROPN
ap-1277	7	17	l	l	NOUN
ap-1277	7	18	2(r	2(r	NUM
ap-1277	7	19	)	)	PUNCT
ap-1277	7	20	is	be	AUX
ap-1277	7	21	one	one	NUM
ap-1277	7	22	of	of	ADP
ap-1277	7	23	the	the	DET
ap-1277	7	24	most	most	ADV
ap-1277	7	25	friendly	friendly	ADJ
ap-1277	7	26	phenomenological	phenomenological	ADJ
ap-1277	7	27	models	model	NOUN
ap-1277	7	28	in	in	ADP
ap-1277	7	29	quantum	quantum	ADJ
ap-1277	7	30	mechanics	mechanic	NOUN
ap-1277	7	31	[	[	X
ap-1277	7	32	1	1	NUM
ap-1277	7	33	]	]	PUNCT
ap-1277	7	34	.	.	PUNCT
ap-1277	8	1	for	for	ADP
ap-1277	8	2	virtually	virtually	ADV
ap-1277	8	3	all	all	PRON
ap-1277	8	4	of	of	ADP
ap-1277	8	5	the	the	DET
ap-1277	8	6	reasonable	reasonable	ADJ
ap-1277	8	7	phenomenological	phenomenological	ADJ
ap-1277	8	8	confining	confining	NOUN
ap-1277	8	9	potentials	potential	VERB
ap-1277	8	10	v	v	NOUN
ap-1277	8	11	(	(	PUNCT
ap-1277	8	12	x	x	X
ap-1277	8	13	)	)	PUNCT
ap-1277	8	14	the	the	DET
ap-1277	8	15	numerical	numerical	ADJ
ap-1277	8	16	treatment	treatment	NOUN
ap-1277	8	17	of	of	ADP
ap-1277	8	18	this	this	DET
ap-1277	8	19	eigenvalue	eigenvalue	NOUN
ap-1277	8	20	problem	problem	NOUN
ap-1277	8	21	remains	remain	VERB
ap-1277	8	22	entirely	entirely	ADV
ap-1277	8	23	routine	routine	ADJ
ap-1277	8	24	.	.	PUNCT
ap-1277	9	1	during	during	ADP
ap-1277	9	2	certain	certain	ADJ
ap-1277	9	3	recent	recent	ADJ
ap-1277	9	4	numerical	numerical	ADJ
ap-1277	9	5	experiments	experiment	NOUN
ap-1277	9	6	[	[	X
ap-1277	9	7	2	2	X
ap-1277	9	8	]	]	PUNCT
ap-1277	9	9	it	it	PRON
ap-1277	9	10	became	become	VERB
ap-1277	9	11	clear	clear	ADJ
ap-1277	9	12	that	that	SCONJ
ap-1277	9	13	many	many	ADJ
ap-1277	9	14	standard	standard	NOUN
ap-1277	9	15	(	(	PUNCT
ap-1277	9	16	e.g.	e.g.	ADV
ap-1277	9	17	,	,	PUNCT
ap-1277	9	18	rungekutta	rungekutta	ADJ
ap-1277	9	19	[	[	X
ap-1277	9	20	3	3	NUM
ap-1277	9	21	]	]	PUNCT
ap-1277	9	22	)	)	PUNCT
ap-1277	9	23	computational	computational	ADJ
ap-1277	9	24	methods	method	NOUN
ap-1277	9	25	may	may	AUX
ap-1277	9	26	still	still	ADV
ap-1277	9	27	encounter	encounter	VERB
ap-1277	9	28	new	new	ADJ
ap-1277	9	29	challenges	challenge	NOUN
ap-1277	9	30	when	when	SCONJ
ap-1277	9	31	one	one	PRON
ap-1277	9	32	follows	follow	VERB
ap-1277	9	33	the	the	DET
ap-1277	9	34	advice	advice	NOUN
ap-1277	9	35	by	by	ADP
ap-1277	9	36	bender	bender	NOUN
ap-1277	9	37	and	and	CCONJ
ap-1277	9	38	turbiner	turbiner	NOUN
ap-1277	9	39	[	[	X
ap-1277	9	40	4	4	NUM
ap-1277	9	41	]	]	PUNCT
ap-1277	9	42	,	,	PUNCT
ap-1277	9	43	by	by	ADP
ap-1277	9	44	buslaev	buslaev	NOUN
ap-1277	9	45	and	and	CCONJ
ap-1277	9	46	grecchi	grecchi	NOUN
ap-1277	9	47	[	[	X
ap-1277	9	48	5	5	NUM
ap-1277	9	49	]	]	PUNCT
ap-1277	9	50	,	,	PUNCT
ap-1277	9	51	by	by	ADP
ap-1277	9	52	bender	bender	PROPN
ap-1277	9	53	et	et	PROPN
ap-1277	9	54	al	al	PROPN
ap-1277	10	1	[	[	X
ap-1277	10	2	6	6	NUM
ap-1277	10	3	]	]	PUNCT
ap-1277	10	4	or	or	CCONJ
ap-1277	10	5	by	by	ADP
ap-1277	10	6	znojil	znojil	NOUN
ap-1277	10	7	[	[	X
ap-1277	10	8	7	7	NUM
ap-1277	10	9	]	]	PUNCT
ap-1277	10	10	,	,	PUNCT
ap-1277	10	11	and	and	CCONJ
ap-1277	10	12	when	when	SCONJ
ap-1277	10	13	one	one	PRON
ap-1277	10	14	replaces	replace	VERB
ap-1277	10	15	the	the	DET
ap-1277	10	16	most	most	ADV
ap-1277	10	17	common	common	ADJ
ap-1277	10	18	real	real	ADJ
ap-1277	10	19	line	line	NOUN
ap-1277	10	20	of	of	ADP
ap-1277	10	21	coordinates	coordinate	NOUN
ap-1277	10	22	x	x	SYM
ap-1277	10	23	∈	∈	NOUN
ap-1277	10	24	r	r	NOUN
ap-1277	10	25	in	in	ADP
ap-1277	10	26	ordinary	ordinary	ADJ
ap-1277	10	27	differential	differential	NOUN
ap-1277	10	28	eq	eq	ADP
ap-1277	10	29	.	.	PUNCT
ap-1277	11	1	(	(	PUNCT
ap-1277	11	2	1	1	NUM
ap-1277	11	3	)	)	PUNCT
ap-1277	11	4	by	by	ADP
ap-1277	11	5	some	some	DET
ap-1277	11	6	less	less	ADV
ap-1277	11	7	trivial	trivial	ADJ
ap-1277	11	8	complex	complex	ADJ
ap-1277	11	9	contour	contour	NOUN
ap-1277	11	10	of	of	ADP
ap-1277	11	11	x	x	X
ap-1277	11	12	∈	∈	PROPN
ap-1277	11	13	c(s	c(	NOUN
ap-1277	11	14	)	)	PUNCT
ap-1277	11	15	which	which	PRON
ap-1277	11	16	may	may	AUX
ap-1277	11	17	be	be	AUX
ap-1277	11	18	conveniently	conveniently	ADV
ap-1277	11	19	parametrized	parametrize	VERB
ap-1277	11	20	,	,	PUNCT
ap-1277	11	21	whenever	whenever	SCONJ
ap-1277	11	22	necessary	necessary	ADJ
ap-1277	11	23	,	,	PUNCT
ap-1277	11	24	by	by	ADP
ap-1277	11	25	a	a	DET
ap-1277	11	26	suitable	suitable	ADJ
ap-1277	11	27	real	real	ADJ
ap-1277	11	28	pseudocoordinate	pseudocoordinate	NOUN
ap-1277	11	29	s	s	PART
ap-1277	11	30	∈	∈	NOUN
ap-1277	11	31	r	r	NOUN
ap-1277	11	32	,	,	PUNCT
ap-1277	11	33	−	−	PROPN
ap-1277	11	34	h̄2	h̄2	NOUN
ap-1277	11	35	2	2	NUM
ap-1277	11	36	m	m	NOUN
ap-1277	11	37	d2	d2	PROPN
ap-1277	11	38	dx2	dx2	PROPN
ap-1277	11	39	ψn(x	ψn(x	PUNCT
ap-1277	11	40	)	)	PUNCT
ap-1277	12	1	+	+	CCONJ
ap-1277	12	2	v	v	X
ap-1277	12	3	(	(	PUNCT
ap-1277	12	4	x)ψn(x	x)ψn(x	NUM
ap-1277	12	5	)	)	PUNCT
ap-1277	12	6	=	=	PUNCT
ap-1277	12	7	en	en	X
ap-1277	12	8	ψn(x	ψn(x	ADP
ap-1277	12	9	)	)	PUNCT
ap-1277	12	10	,	,	PUNCT
ap-1277	12	11	(	(	PUNCT
ap-1277	12	12	2	2	NUM
ap-1277	12	13	)	)	PUNCT
ap-1277	12	14	ψn(x	ψn(x	X
ap-1277	12	15	)	)	PUNCT
ap-1277	12	16	∈	∈	PROPN
ap-1277	12	17	l2(c	l2(c	PROPN
ap-1277	12	18	)	)	PUNCT
ap-1277	12	19	.	.	PUNCT
ap-1277	13	1	temporarily	temporarily	ADV
ap-1277	13	2	,	,	PUNCT
ap-1277	13	3	the	the	DET
ap-1277	13	4	scepticism	scepticism	NOUN
ap-1277	13	5	has	have	AUX
ap-1277	13	6	been	be	AUX
ap-1277	13	7	suppressed	suppress	VERB
ap-1277	13	8	by	by	ADP
ap-1277	13	9	weideman	weideman	NOUN
ap-1277	13	10	[	[	X
ap-1277	13	11	8	8	NUM
ap-1277	13	12	]	]	PUNCT
ap-1277	13	13	who	who	PRON
ap-1277	13	14	showed	show	VERB
ap-1277	13	15	that	that	SCONJ
ap-1277	13	16	many	many	ADJ
ap-1277	13	17	standard	standard	ADJ
ap-1277	13	18	numerical	numerical	ADJ
ap-1277	13	19	algorithms	algorithm	NOUN
ap-1277	13	20	may	may	AUX
ap-1277	13	21	be	be	AUX
ap-1277	13	22	reconfirmed	reconfirm	VERB
ap-1277	13	23	to	to	PART
ap-1277	13	24	lead	lead	VERB
ap-1277	13	25	to	to	ADP
ap-1277	13	26	reliable	reliable	ADJ
ap-1277	13	27	results	result	NOUN
ap-1277	13	28	even	even	ADV
ap-1277	13	29	for	for	ADP
ap-1277	13	30	many	many	ADJ
ap-1277	13	31	specific	specific	ADJ
ap-1277	13	32	analytic	analytic	ADJ
ap-1277	13	33	samples	sample	NOUN
ap-1277	13	34	of	of	ADP
ap-1277	13	35	complex	complex	ADJ
ap-1277	13	36	interactions	interaction	NOUN
ap-1277	13	37	v	v	ADP
ap-1277	13	38	(	(	PUNCT
ap-1277	13	39	x	x	NOUN
ap-1277	13	40	)	)	PUNCT
ap-1277	13	41	giving	give	VERB
ap-1277	13	42	real	real	ADJ
ap-1277	13	43	spectra	spectra	NOUN
ap-1277	13	44	via	via	ADP
ap-1277	13	45	eq	eq	PROPN
ap-1277	13	46	.	.	PUNCT
ap-1277	14	1	(	(	PUNCT
ap-1277	14	2	2	2	NUM
ap-1277	14	3	)	)	PUNCT
ap-1277	14	4	.	.	PUNCT
ap-1277	15	1	unfortunately	unfortunately	ADV
ap-1277	15	2	,	,	PUNCT
ap-1277	15	3	the	the	DET
ap-1277	15	4	scepticism	scepticism	NOUN
ap-1277	15	5	reemerged	reemerge	VERB
ap-1277	15	6	when	when	SCONJ
ap-1277	15	7	we	we	PRON
ap-1277	15	8	proposed	propose	VERB
ap-1277	15	9	,	,	PUNCT
ap-1277	15	10	in	in	ADP
ap-1277	15	11	ref	ref	NOUN
ap-1277	15	12	.	.	PUNCT
ap-1277	16	1	[	[	X
ap-1277	16	2	7	7	NUM
ap-1277	16	3	]	]	PUNCT
ap-1277	16	4	,	,	PUNCT
ap-1277	16	5	to	to	PART
ap-1277	16	6	study	study	VERB
ap-1277	16	7	so	so	ADV
ap-1277	16	8	-	-	PUNCT
ap-1277	16	9	called	call	VERB
ap-1277	16	10	quantum	quantum	NOUN
ap-1277	16	11	toboggans	toboggan	NOUN
ap-1277	16	12	characterized	characterize	VERB
ap-1277	16	13	by	by	ADP
ap-1277	16	14	the	the	DET
ap-1277	16	15	relaxation	relaxation	NOUN
ap-1277	16	16	of	of	ADP
ap-1277	16	17	the	the	DET
ap-1277	16	18	most	most	ADV
ap-1277	16	19	common	common	ADJ
ap-1277	16	20	tacit	tacit	ADJ
ap-1277	16	21	assumption	assumption	NOUN
ap-1277	16	22	that	that	SCONJ
ap-1277	16	23	the	the	DET
ap-1277	16	24	above	above	ADV
ap-1277	16	25	-	-	PUNCT
ap-1277	16	26	mentioned	mention	VERB
ap-1277	16	27	integration	integration	NOUN
ap-1277	16	28	contours	contours	NOUN
ap-1277	16	29	c(s	c(	NOUN
ap-1277	16	30	)	)	PUNCT
ap-1277	16	31	must	must	AUX
ap-1277	16	32	always	always	ADV
ap-1277	16	33	lie	lie	VERB
ap-1277	16	34	just	just	ADV
ap-1277	16	35	inside	inside	ADP
ap-1277	16	36	a	a	DET
ap-1277	16	37	single	single	ADJ
ap-1277	16	38	complex	complex	ADJ
ap-1277	16	39	plane	plane	NOUN
ap-1277	16	40	r0	r0	NOUN
ap-1277	16	41	equipped	equip	VERB
ap-1277	16	42	by	by	ADP
ap-1277	16	43	suitable	suitable	ADJ
ap-1277	16	44	cuts	cut	NOUN
ap-1277	16	45	.	.	PUNCT
ap-1277	17	1	subsequently	subsequently	ADV
ap-1277	17	2	,	,	PUNCT
ap-1277	17	3	the	the	DET
ap-1277	17	4	reemergence	reemergence	NOUN
ap-1277	17	5	of	of	ADP
ap-1277	17	6	certain	certain	ADJ
ap-1277	17	7	numerical	numerical	ADJ
ap-1277	17	8	difficulties	difficulty	NOUN
ap-1277	17	9	accompanying	accompany	VERB
ap-1277	17	10	the	the	DET
ap-1277	17	11	evaluation	evaluation	NOUN
ap-1277	17	12	of	of	ADP
ap-1277	17	13	the	the	DET
ap-1277	17	14	spectra	spectra	NOUN
ap-1277	17	15	of	of	ADP
ap-1277	17	16	quantum	quantum	NOUN
ap-1277	17	17	toboggans	toboggan	NOUN
ap-1277	17	18	has	have	AUX
ap-1277	17	19	been	be	AUX
ap-1277	17	20	reported	report	VERB
ap-1277	17	21	by	by	ADP
ap-1277	17	22	bı́la	bı́la	NOUN
ap-1277	17	23	[	[	X
ap-1277	17	24	9	9	NUM
ap-1277	17	25	]	]	PUNCT
ap-1277	17	26	and	and	CCONJ
ap-1277	17	27	by	by	ADP
ap-1277	17	28	wessels	wessels	PROPN
ap-1277	17	29	[	[	X
ap-1277	17	30	10	10	NUM
ap-1277	17	31	]	]	PUNCT
ap-1277	17	32	.	.	PUNCT
ap-1277	18	1	their	their	PRON
ap-1277	18	2	empirical	empirical	ADJ
ap-1277	18	3	detection	detection	NOUN
ap-1277	18	4	of	of	ADP
ap-1277	18	5	the	the	DET
ap-1277	18	6	presence	presence	NOUN
ap-1277	18	7	of	of	ADP
ap-1277	18	8	instabilities	instability	NOUN
ap-1277	18	9	in	in	ADP
ap-1277	18	10	their	their	PRON
ap-1277	18	11	numerical	numerical	ADJ
ap-1277	18	12	results	result	NOUN
ap-1277	18	13	may	may	AUX
ap-1277	18	14	be	be	AUX
ap-1277	18	15	recognized	recognize	VERB
ap-1277	18	16	as	as	ADP
ap-1277	18	17	one	one	NUM
ap-1277	18	18	of	of	ADP
ap-1277	18	19	the	the	DET
ap-1277	18	20	key	key	ADJ
ap-1277	18	21	motivations	motivation	NOUN
ap-1277	18	22	for	for	ADP
ap-1277	18	23	our	our	PRON
ap-1277	18	24	present	present	ADJ
ap-1277	18	25	considerations	consideration	NOUN
ap-1277	18	26	.	.	PUNCT
ap-1277	19	1	2	2	NUM
ap-1277	19	2	illustrative	illustrative	ADJ
ap-1277	19	3	tobogganic	tobogganic	NOUN
ap-1277	19	4	schrödinger	schrödinger	NOUN
ap-1277	19	5	equations	equation	NOUN
ap-1277	19	6	2.1	2.1	NUM
ap-1277	19	7	assumptions	assumption	NOUN
ap-1277	19	8	whenever	whenever	SCONJ
ap-1277	19	9	the	the	DET
ap-1277	19	10	complex	complex	ADJ
ap-1277	19	11	integration	integration	NOUN
ap-1277	19	12	contour	contour	NOUN
ap-1277	19	13	c(s	c(	NOUN
ap-1277	19	14	)	)	PUNCT
ap-1277	19	15	used	use	VERB
ap-1277	19	16	in	in	ADP
ap-1277	19	17	eq	eq	ADP
ap-1277	19	18	.	.	PUNCT
ap-1277	20	1	(	(	PUNCT
ap-1277	20	2	2	2	X
ap-1277	20	3	)	)	PUNCT
ap-1277	20	4	becomes	become	VERB
ap-1277	20	5	topologically	topologically	ADV
ap-1277	20	6	nontrivial	nontrivial	NOUN
ap-1277	20	7	(	(	PUNCT
ap-1277	20	8	cf	cf	NOUN
ap-1277	20	9	.	.	PUNCT
ap-1277	20	10	figures	figure	NOUN
ap-1277	20	11	1–4	1–4	PROPN
ap-1277	20	12	for	for	ADP
ap-1277	20	13	illustration	illustration	NOUN
ap-1277	20	14	)	)	PUNCT
ap-1277	20	15	,	,	PUNCT
ap-1277	20	16	it	it	PRON
ap-1277	20	17	may	may	AUX
ap-1277	20	18	be	be	AUX
ap-1277	20	19	interpreted	interpret	VERB
ap-1277	20	20	as	as	ADP
ap-1277	20	21	connecting	connect	VERB
ap-1277	20	22	several	several	ADJ
ap-1277	20	23	sheets	sheet	NOUN
ap-1277	20	24	of	of	ADP
ap-1277	20	25	the	the	DET
ap-1277	20	26	riemann	riemann	PROPN
ap-1277	20	27	surface	surface	PROPN
ap-1277	20	28	r(multisheeted	r(multisheete	VERB
ap-1277	20	29	)	)	PUNCT
ap-1277	20	30	supporting	support	VERB
ap-1277	20	31	the	the	DET
ap-1277	20	32	general	general	ADJ
ap-1277	20	33	solution	solution	NOUN
ap-1277	20	34	ψ(general)(x	ψ(general)(x	PROPN
ap-1277	20	35	)	)	PUNCT
ap-1277	20	36	of	of	ADP
ap-1277	20	37	the	the	DET
ap-1277	20	38	underlying	underlying	ADJ
ap-1277	20	39	complex	complex	ADJ
ap-1277	20	40	ordinary	ordinary	ADJ
ap-1277	20	41	differential	differential	ADJ
ap-1277	20	42	equation	equation	NOUN
ap-1277	20	43	.	.	PUNCT
ap-1277	21	1	it	it	PRON
ap-1277	21	2	is	be	AUX
ap-1277	21	3	well	well	ADV
ap-1277	21	4	known	know	VERB
ap-1277	21	5	that	that	SCONJ
ap-1277	21	6	these	these	DET
ap-1277	21	7	solutions	solution	NOUN
ap-1277	21	8	ψ(general)(x	ψ(general)(x	NOUN
ap-1277	21	9	)	)	PUNCT
ap-1277	21	10	are	be	AUX
ap-1277	21	11	non	non	ADJ
ap-1277	21	12	-	-	ADJ
ap-1277	21	13	unique	unique	ADJ
ap-1277	21	14	(	(	PUNCT
ap-1277	21	15	i.e.	i.e.	X
ap-1277	21	16	,	,	PUNCT
ap-1277	21	17	two	two	NUM
ap-1277	21	18	-	-	PUNCT
ap-1277	21	19	parametric	parametric	ADJ
ap-1277	21	20	–	–	PUNCT
ap-1277	21	21	cf	cf	NOUN
ap-1277	21	22	.	.	PUNCT
ap-1277	22	1	[	[	X
ap-1277	22	2	9	9	NUM
ap-1277	22	3	]	]	PUNCT
ap-1277	22	4	)	)	PUNCT
ap-1277	22	5	.	.	PUNCT
ap-1277	23	1	from	from	ADP
ap-1277	23	2	the	the	DET
ap-1277	23	3	point	point	NOUN
ap-1277	23	4	of	of	ADP
ap-1277	23	5	view	view	NOUN
ap-1277	23	6	of	of	ADP
ap-1277	23	7	physics	physics	NOUN
ap-1277	23	8	this	this	PRON
ap-1277	23	9	means	mean	VERB
ap-1277	23	10	that	that	SCONJ
ap-1277	23	11	they	they	PRON
ap-1277	23	12	may	may	AUX
ap-1277	23	13	be	be	AUX
ap-1277	23	14	restricted	restrict	VERB
ap-1277	23	15	by	by	ADP
ap-1277	23	16	some	some	PRON
ap-1277	23	17	suitable	suitable	ADJ
ap-1277	23	18	(	(	PUNCT
ap-1277	23	19	i.e.	i.e.	X
ap-1277	23	20	,	,	PUNCT
ap-1277	23	21	typically	typically	ADV
ap-1277	23	22	,	,	PUNCT
ap-1277	23	23	asymptotic	asymptotic	ADJ
ap-1277	23	24	[	[	X
ap-1277	23	25	4	4	NUM
ap-1277	23	26	,	,	PUNCT
ap-1277	23	27	5	5	NUM
ap-1277	23	28	]	]	PUNCT
ap-1277	23	29	)	)	PUNCT
ap-1277	23	30	boundary	boundary	ADJ
ap-1277	23	31	conditions	condition	NOUN
ap-1277	23	32	(	(	PUNCT
ap-1277	23	33	cf	cf	NOUN
ap-1277	23	34	.	.	PUNCT
ap-1277	23	35	also	also	ADV
ap-1277	23	36	ref	ref	VERB
ap-1277	23	37	.	.	PUNCT
ap-1277	24	1	[	[	X
ap-1277	24	2	7	7	NUM
ap-1277	24	3	]	]	NUM
ap-1277	24	4	)	)	PUNCT
ap-1277	24	5	.	.	PUNCT
ap-1277	25	1	in	in	ADP
ap-1277	25	2	what	what	PRON
ap-1277	25	3	follows	follow	VERB
ap-1277	25	4	we	we	PRON
ap-1277	25	5	shall	shall	AUX
ap-1277	25	6	assume	assume	VERB
ap-1277	25	7	that	that	SCONJ
ap-1277	25	8	(	(	PUNCT
ap-1277	25	9	a1	a1	NOUN
ap-1277	25	10	)	)	PUNCT
ap-1277	25	11	these	these	DET
ap-1277	25	12	general	general	ADJ
ap-1277	25	13	solutions	solution	NOUN
ap-1277	25	14	ψ(general)(x	ψ(general)(x	X
ap-1277	25	15	)	)	PUNCT
ap-1277	25	16	live	live	VERB
ap-1277	25	17	on	on	ADP
ap-1277	25	18	unbounded	unbounded	ADJ
ap-1277	25	19	contours	contours	NOUN
ap-1277	25	20	called	call	VERB
ap-1277	25	21	“	"	PUNCT
ap-1277	25	22	tobogganic	tobogganic	ADJ
ap-1277	25	23	”	"	PUNCT
ap-1277	25	24	,	,	PUNCT
ap-1277	25	25	with	with	SCONJ
ap-1277	25	26	the	the	DET
ap-1277	25	27	name	name	NOUN
ap-1277	25	28	coined	coin	VERB
ap-1277	25	29	and	and	CCONJ
ap-1277	25	30	with	with	ADP
ap-1277	25	31	the	the	DET
ap-1277	25	32	details	detail	NOUN
ap-1277	25	33	explained	explain	VERB
ap-1277	25	34	in	in	ADP
ap-1277	25	35	ref	ref	NOUN
ap-1277	25	36	.	.	PUNCT
ap-1277	26	1	[	[	X
ap-1277	26	2	7	7	NUM
ap-1277	26	3	]	]	SYM
ap-1277	26	4	;	;	PUNCT
ap-1277	26	5	(	(	PUNCT
ap-1277	26	6	a2	a2	PROPN
ap-1277	26	7	)	)	PUNCT
ap-1277	26	8	our	our	PRON
ap-1277	26	9	particular	particular	ADJ
ap-1277	26	10	choice	choice	NOUN
ap-1277	26	11	of	of	ADP
ap-1277	26	12	the	the	DET
ap-1277	26	13	tobogganic	tobogganic	ADJ
ap-1277	26	14	contours	contours	NOUN
ap-1277	26	15	c(s	c(	VERB
ap-1277	26	16	)	)	PUNCT
ap-1277	26	17	=	=	SYM
ap-1277	26	18	c(tobogganic)(s	c(tobogganic)(s	NOUN
ap-1277	26	19	)	)	PUNCT
ap-1277	26	20	∈	∈	PROPN
ap-1277	26	21	r(multisheeted	r(multisheete	VERB
ap-1277	26	22	)	)	PUNCT
ap-1277	26	23	84	84	NUM
ap-1277	26	24	acta	acta	PROPN
ap-1277	26	25	polytechnica	polytechnica	PROPN
ap-1277	26	26	vol	vol	NOUN
ap-1277	26	27	.	.	PROPN
ap-1277	27	1	50	50	NUM
ap-1277	27	2	no	no	NOUN
ap-1277	27	3	.	.	PUNCT
ap-1277	28	1	5/2010	5/2010	NUM
ap-1277	28	2	–	–	PUNCT
ap-1277	28	3	1	1	NUM
ap-1277	28	4	–	–	SYM
ap-1277	28	5	1.5	1.5	NUM
ap-1277	28	6	–	–	SYM
ap-1277	28	7	0.5	0.5	NUM
ap-1277	28	8	0.5	0.5	NUM
ap-1277	28	9	re	re	NOUN
ap-1277	28	10	x	x	PROPN
ap-1277	28	11	i	i	VERB
ap-1277	28	12	m	m	VERB
ap-1277	28	13	x	x	ADJ
ap-1277	28	14	fig	fig	NOUN
ap-1277	28	15	.	.	PUNCT
ap-1277	29	1	1	1	NUM
ap-1277	29	2	:	:	PUNCT
ap-1277	29	3	the	the	DET
ap-1277	29	4	central	central	ADJ
ap-1277	29	5	segment	segment	NOUN
ap-1277	29	6	of	of	ADP
ap-1277	29	7	the	the	DET
ap-1277	29	8	typical	typical	ADJ
ap-1277	29	9	pt	pt	INTJ
ap-1277	29	10	-symmetric	-symmetric	ADJ
ap-1277	29	11	double	double	ADJ
ap-1277	29	12	-	-	PUNCT
ap-1277	29	13	circle	circle	NOUN
ap-1277	29	14	tobogganic	tobogganic	ADJ
ap-1277	29	15	curve	curve	NOUN
ap-1277	29	16	of	of	ADP
ap-1277	29	17	x	x	PROPN
ap-1277	29	18	∈	∈	PROPN
ap-1277	29	19	c(lr)(s	c(lr)(s	PROPN
ap-1277	29	20	)	)	PUNCT
ap-1277	29	21	with	with	ADP
ap-1277	29	22	winding	wind	VERB
ap-1277	29	23	parameter	parameter	NOUN
ap-1277	29	24	κ	κ	NOUN
ap-1277	30	1	=	=	NOUN
ap-1277	30	2	3	3	NUM
ap-1277	30	3	in	in	ADP
ap-1277	30	4	eq	eq	ADP
ap-1277	30	5	.	.	PUNCT
ap-1277	31	1	(	(	PUNCT
ap-1277	31	2	10	10	NUM
ap-1277	31	3	)	)	PUNCT
ap-1277	31	4	.	.	PUNCT
ap-1277	32	1	this	this	DET
ap-1277	32	2	curve	curve	NOUN
ap-1277	32	3	is	be	AUX
ap-1277	32	4	obtained	obtain	VERB
ap-1277	32	5	as	as	ADP
ap-1277	32	6	the	the	DET
ap-1277	32	7	image	image	NOUN
ap-1277	32	8	of	of	ADP
ap-1277	32	9	the	the	DET
ap-1277	32	10	straight	straight	ADJ
ap-1277	32	11	line	line	NOUN
ap-1277	32	12	of	of	ADP
ap-1277	32	13	z	z	PROPN
ap-1277	32	14	∈	∈	PROPN
ap-1277	32	15	c(0)(s	c(0)(s	NOUN
ap-1277	32	16	)	)	PUNCT
ap-1277	32	17	at	at	ADP
ap-1277	32	18	ε	ε	PROPN
ap-1277	32	19	=	=	SYM
ap-1277	32	20	0.250	0.250	NUM
ap-1277	32	21	re	re	X
ap-1277	32	22	x	x	NOUN
ap-1277	32	23	-im	-im	X
ap-1277	32	24	x	x	X
ap-1277	32	25	–	–	PUNCT
ap-1277	32	26	1	1	NUM
ap-1277	32	27	–	–	SYM
ap-1277	32	28	2	2	NUM
ap-1277	32	29	–	–	SYM
ap-1277	32	30	1	1	NUM
ap-1277	32	31	1	1	NUM
ap-1277	32	32	fig	fig	NOUN
ap-1277	32	33	.	.	PUNCT
ap-1277	33	1	2	2	NUM
ap-1277	33	2	:	:	PUNCT
ap-1277	33	3	an	an	DET
ap-1277	33	4	alternative	alternative	ADJ
ap-1277	33	5	version	version	NOUN
ap-1277	33	6	of	of	ADP
ap-1277	33	7	the	the	DET
ap-1277	33	8	double	double	ADJ
ap-1277	33	9	-	-	PUNCT
ap-1277	33	10	circle	circle	NOUN
ap-1277	33	11	curve	curve	NOUN
ap-1277	33	12	of	of	ADP
ap-1277	33	13	figure	figure	NOUN
ap-1277	33	14	1	1	NUM
ap-1277	33	15	obtained	obtain	VERB
ap-1277	33	16	at	at	ADP
ap-1277	33	17	the	the	DET
ap-1277	33	18	“	"	PUNCT
ap-1277	33	19	almost	almost	ADV
ap-1277	33	20	maximal	maximal	ADJ
ap-1277	33	21	”	"	PUNCT
ap-1277	33	22	ε	ε	PROPN
ap-1277	33	23	=	=	SYM
ap-1277	33	24	ε(critical	ε(critical	NOUN
ap-1277	33	25	)	)	PUNCT
ap-1277	33	26	−	−	NOUN
ap-1277	33	27	0.000	0.000	NUM
ap-1277	33	28	5	5	NUM
ap-1277	33	29	(	(	PUNCT
ap-1277	33	30	note	note	VERB
ap-1277	33	31	that	that	SCONJ
ap-1277	33	32	ε(critical	ε(critical	ADJ
ap-1277	33	33	)	)	PUNCT
ap-1277	33	34	∼	∼	NOUN
ap-1277	33	35	0.340	0.340	NUM
ap-1277	33	36	625	625	NUM
ap-1277	33	37	02	02	NUM
ap-1277	33	38	)	)	PUNCT
ap-1277	33	39	re	re	ADP
ap-1277	33	40	x	x	NOUN
ap-1277	33	41	-im	-im	X
ap-1277	33	42	x	x	X
ap-1277	33	43	–	–	PUNCT
ap-1277	33	44	1	1	NUM
ap-1277	33	45	–	–	SYM
ap-1277	33	46	2	2	NUM
ap-1277	33	47	–	–	SYM
ap-1277	33	48	1	1	NUM
ap-1277	33	49	1	1	NUM
ap-1277	33	50	fig	fig	NOUN
ap-1277	33	51	.	.	PUNCT
ap-1277	34	1	3	3	NUM
ap-1277	34	2	:	:	PUNCT
ap-1277	34	3	the	the	DET
ap-1277	34	4	extreme	extreme	ADJ
ap-1277	34	5	version	version	NOUN
ap-1277	34	6	of	of	ADP
ap-1277	34	7	the	the	DET
ap-1277	34	8	double	double	ADJ
ap-1277	34	9	-	-	PUNCT
ap-1277	34	10	circle	circle	NOUN
ap-1277	34	11	curve	curve	NOUN
ap-1277	34	12	c(lr)(s	c(lr)(s	PROPN
ap-1277	34	13	)	)	PUNCT
ap-1277	34	14	at	at	ADP
ap-1277	34	15	ε	ε	PROPN
ap-1277	34	16	<	<	PROPN
ap-1277	34	17	≈	≈	PROPN
ap-1277	34	18	ε(critical	ε(critical	NOUN
ap-1277	34	19	)	)	PUNCT
ap-1277	34	20	re	re	ADP
ap-1277	34	21	x	x	NOUN
ap-1277	34	22	-im	-im	X
ap-1277	34	23	x	x	X
ap-1277	34	24	–	–	PUNCT
ap-1277	34	25	1	1	NUM
ap-1277	34	26	–	–	SYM
ap-1277	34	27	2	2	NUM
ap-1277	34	28	–	–	SYM
ap-1277	34	29	1	1	NUM
ap-1277	34	30	1	1	NUM
ap-1277	34	31	fig	fig	NOUN
ap-1277	34	32	.	.	PUNCT
ap-1277	35	1	4	4	NUM
ap-1277	35	2	:	:	PUNCT
ap-1277	35	3	the	the	DET
ap-1277	35	4	change	change	NOUN
ap-1277	35	5	of	of	ADP
ap-1277	35	6	topology	topology	NOUN
ap-1277	35	7	at	at	ADP
ap-1277	35	8	ε	ε	PROPN
ap-1277	35	9	>	>	PROPN
ap-1277	35	10	≈	≈	PROPN
ap-1277	35	11	ε(critical	ε(critical	NOUN
ap-1277	35	12	)	)	PUNCT
ap-1277	35	13	when	when	SCONJ
ap-1277	35	14	eq	eq	X
ap-1277	35	15	.	.	PUNCT
ap-1277	36	1	(	(	PUNCT
ap-1277	36	2	10	10	NUM
ap-1277	36	3	)	)	PUNCT
ap-1277	36	4	starts	start	VERB
ap-1277	36	5	giving	give	VERB
ap-1277	36	6	the	the	DET
ap-1277	36	7	single	single	ADJ
ap-1277	36	8	-	-	PUNCT
ap-1277	36	9	circle	circle	NOUN
ap-1277	36	10	tobogganic	tobogganic	ADJ
ap-1277	36	11	curves	curve	NOUN
ap-1277	36	12	c(rl)(s	c(rl)(s	NOUN
ap-1277	36	13	)	)	PUNCT
ap-1277	36	14	at	at	ADP
ap-1277	36	15	κ	κ	NOUN
ap-1277	36	16	=	=	SYM
ap-1277	36	17	3	3	NUM
ap-1277	37	1	will	will	AUX
ap-1277	37	2	be	be	AUX
ap-1277	37	3	specified	specify	VERB
ap-1277	37	4	by	by	ADP
ap-1277	37	5	certain	certain	ADJ
ap-1277	37	6	multiindex	multiindex	NOUN
ap-1277	37	7	�	�	PROPN
ap-1277	37	8	so	so	SCONJ
ap-1277	37	9	that	that	DET
ap-1277	37	10	c(tobogganic)(s	c(tobogganic)(s	NOUN
ap-1277	37	11	)	)	PUNCT
ap-1277	37	12	≡	≡	PROPN
ap-1277	37	13	c(	c(	PROPN
ap-1277	37	14	�	�	PROPN
ap-1277	37	15	)(s	)(s	ADJ
ap-1277	37	16	)	)	PUNCT
ap-1277	37	17	;	;	PUNCT
ap-1277	37	18	(	(	PUNCT
ap-1277	37	19	a3	a3	NOUN
ap-1277	37	20	)	)	PUNCT
ap-1277	37	21	for	for	ADP
ap-1277	37	22	the	the	DET
ap-1277	37	23	sake	sake	NOUN
ap-1277	37	24	of	of	ADP
ap-1277	37	25	brevity	brevity	NOUN
ap-1277	37	26	our	our	PRON
ap-1277	37	27	attention	attention	NOUN
ap-1277	37	28	may	may	AUX
ap-1277	37	29	be	be	AUX
ap-1277	37	30	restricted	restrict	VERB
ap-1277	37	31	to	to	ADP
ap-1277	37	32	the	the	DET
ap-1277	37	33	tobogganic	tobogganic	ADJ
ap-1277	37	34	models	model	NOUN
ap-1277	37	35	where	where	SCONJ
ap-1277	37	36	the	the	DET
ap-1277	37	37	multiindices	multiindice	NOUN
ap-1277	37	38	�	�	PROPN
ap-1277	37	39	are	be	AUX
ap-1277	37	40	nontrivial	nontrivial	ADJ
ap-1277	37	41	but	but	CCONJ
ap-1277	37	42	still	still	ADV
ap-1277	37	43	not	not	PART
ap-1277	37	44	too	too	ADV
ap-1277	37	45	complicated	complicated	ADJ
ap-1277	37	46	.	.	PUNCT
ap-1277	38	1	for	for	ADP
ap-1277	38	2	this	this	DET
ap-1277	38	3	reason	reason	NOUN
ap-1277	38	4	we	we	PRON
ap-1277	38	5	shall	shall	AUX
ap-1277	38	6	study	study	VERB
ap-1277	38	7	just	just	ADV
ap-1277	38	8	the	the	DET
ap-1277	38	9	subclass	subclass	NOUN
ap-1277	38	10	of	of	ADP
ap-1277	38	11	the	the	DET
ap-1277	38	12	tobogganic	tobogganic	ADJ
ap-1277	38	13	models	model	NOUN
ap-1277	38	14	−	−	NOUN
ap-1277	38	15	h̄2	h̄2	NOUN
ap-1277	38	16	2	2	NUM
ap-1277	38	17	m	m	NOUN
ap-1277	38	18	d2	d2	PROPN
ap-1277	38	19	dx2	dx2	PROPN
ap-1277	38	20	ψn(x	ψn(x	PUNCT
ap-1277	38	21	)	)	PUNCT
ap-1277	39	1	+	+	CCONJ
ap-1277	39	2	v	v	X
ap-1277	39	3	(	(	PUNCT
ap-1277	39	4	2	2	NUM
ap-1277	39	5	)	)	PUNCT
ap-1277	39	6	(	(	PUNCT
ap-1277	39	7	j	j	NOUN
ap-1277	39	8	)	)	PUNCT
ap-1277	39	9	(	(	PUNCT
ap-1277	39	10	x)ψn(x	x)ψn(x	X
ap-1277	39	11	)	)	PUNCT
ap-1277	39	12	=	=	PUNCT
ap-1277	39	13	en	en	X
ap-1277	39	14	ψn(x	ψn(x	ADP
ap-1277	39	15	)	)	PUNCT
ap-1277	39	16	,	,	PUNCT
ap-1277	39	17	(	(	PUNCT
ap-1277	39	18	3	3	X
ap-1277	39	19	)	)	PUNCT
ap-1277	39	20	ψn(x	ψn(x	ADV
ap-1277	39	21	)	)	PUNCT
ap-1277	39	22	∈	∈	PROPN
ap-1277	39	23	l	l	NOUN
ap-1277	39	24	2(c	2(c	NUM
ap-1277	39	25	(	(	PUNCT
ap-1277	39	26	�	�	NOUN
ap-1277	39	27	)	)	PUNCT
ap-1277	39	28	)	)	PUNCT
ap-1277	39	29	containing	contain	VERB
ap-1277	39	30	,	,	PUNCT
ap-1277	39	31	typically	typically	ADV
ap-1277	39	32	,	,	PUNCT
ap-1277	39	33	potentials	potential	VERB
ap-1277	39	34	v	v	ADP
ap-1277	39	35	(	(	PUNCT
ap-1277	39	36	2	2	NUM
ap-1277	39	37	)	)	PUNCT
ap-1277	39	38	(	(	PUNCT
ap-1277	39	39	1	1	NUM
ap-1277	39	40	)	)	PUNCT
ap-1277	39	41	(	(	PUNCT
ap-1277	39	42	x	x	X
ap-1277	39	43	)	)	PUNCT
ap-1277	39	44	=	=	SYM
ap-1277	39	45	v(ho)(x	v(ho)(x	NOUN
ap-1277	39	46	)	)	PUNCT
ap-1277	40	1	=	=	SYM
ap-1277	41	1	x2	x2	INTJ
ap-1277	42	1	+	+	PUNCT
ap-1277	42	2	[	[	PUNCT
ap-1277	42	3	f	f	X
ap-1277	42	4	(	(	PUNCT
ap-1277	42	5	x	x	SYM
ap-1277	42	6	−	−	PROPN
ap-1277	42	7	1)2	1)2	NUM
ap-1277	42	8	+	+	NUM
ap-1277	42	9	f	f	X
ap-1277	42	10	(	(	PUNCT
ap-1277	42	11	x+	x+	PROPN
ap-1277	42	12	1)2	1)2	NUM
ap-1277	42	13	]	]	PUNCT
ap-1277	42	14	,	,	PUNCT
ap-1277	42	15	(	(	PUNCT
ap-1277	42	16	4	4	X
ap-1277	42	17	)	)	PUNCT
ap-1277	42	18	f	f	NOUN
ap-1277	42	19	0	0	NUM
ap-1277	42	20	1	1	NUM
ap-1277	42	21	or	or	CCONJ
ap-1277	42	22	v	v	NOUN
ap-1277	42	23	(	(	PUNCT
ap-1277	42	24	2	2	NUM
ap-1277	42	25	)	)	PUNCT
ap-1277	42	26	(	(	PUNCT
ap-1277	42	27	2	2	NUM
ap-1277	42	28	)	)	PUNCT
ap-1277	42	29	(	(	PUNCT
ap-1277	42	30	x	x	X
ap-1277	42	31	)	)	PUNCT
ap-1277	42	32	=	=	SYM
ap-1277	42	33	v(ico)(x	v(ico)(x	NOUN
ap-1277	42	34	)	)	PUNCT
ap-1277	42	35	=	=	PUNCT
ap-1277	42	36	ix3	ix3	PROPN
ap-1277	43	1	+	+	CCONJ
ap-1277	43	2	[	[	PUNCT
ap-1277	43	3	g	g	NOUN
ap-1277	43	4	(	(	PUNCT
ap-1277	43	5	x	x	NOUN
ap-1277	43	6	−	−	PROPN
ap-1277	43	7	1)2	1)2	NUM
ap-1277	43	8	+	+	CCONJ
ap-1277	43	9	g	g	PROPN
ap-1277	43	10	(	(	PUNCT
ap-1277	43	11	x	x	PROPN
ap-1277	43	12	+	+	NUM
ap-1277	43	13	1)2	1)2	NUM
ap-1277	43	14	]	]	PUNCT
ap-1277	43	15	,	,	PUNCT
ap-1277	43	16	(	(	PUNCT
ap-1277	43	17	5	5	X
ap-1277	43	18	)	)	PUNCT
ap-1277	43	19	g	g	NOUN
ap-1277	43	20	0	0	NUM
ap-1277	43	21	1	1	NUM
ap-1277	43	22	with	with	ADP
ap-1277	43	23	two	two	NUM
ap-1277	43	24	strong	strong	ADJ
ap-1277	43	25	singularities	singularity	NOUN
ap-1277	43	26	inducing	induce	VERB
ap-1277	43	27	branch	branch	NOUN
ap-1277	43	28	points	point	NOUN
ap-1277	43	29	in	in	ADP
ap-1277	43	30	the	the	DET
ap-1277	43	31	wave	wave	NOUN
ap-1277	43	32	functions	function	NOUN
ap-1277	43	33	.	.	PUNCT
ap-1277	44	1	in	in	ADP
ap-1277	44	2	this	this	DET
ap-1277	44	3	manner	manner	NOUN
ap-1277	44	4	we	we	PRON
ap-1277	44	5	shall	shall	AUX
ap-1277	44	6	have	have	VERB
ap-1277	44	7	to	to	PART
ap-1277	44	8	deal	deal	VERB
ap-1277	44	9	with	with	ADP
ap-1277	44	10	the	the	DET
ap-1277	44	11	two	two	NUM
ap-1277	44	12	branch	branch	NOUN
ap-1277	44	13	points	point	NOUN
ap-1277	44	14	x	x	INTJ
ap-1277	44	15	(	(	PUNCT
ap-1277	44	16	bp	bp	PROPN
ap-1277	44	17	)	)	PUNCT
ap-1277	44	18	(	(	PUNCT
ap-1277	44	19	±	±	NUM
ap-1277	44	20	)	)	PUNCT
ap-1277	44	21	=	=	VERB
ap-1277	44	22	±1	±1	VERB
ap-1277	44	23	in	in	ADP
ap-1277	44	24	ψ(general)(x	ψ(general)(x	PROPN
ap-1277	44	25	)	)	PUNCT
ap-1277	44	26	.	.	PUNCT
ap-1277	45	1	in	in	ADP
ap-1277	45	2	the	the	DET
ap-1277	45	3	language	language	NOUN
ap-1277	45	4	of	of	ADP
ap-1277	45	5	mathematics	mathematic	NOUN
ap-1277	45	6	the	the	DET
ap-1277	45	7	obvious	obvious	ADJ
ap-1277	45	8	topological	topological	ADJ
ap-1277	45	9	structure	structure	NOUN
ap-1277	45	10	of	of	ADP
ap-1277	45	11	the	the	DET
ap-1277	45	12	corresponding	corresponding	ADJ
ap-1277	45	13	multi	multi	ADJ
ap-1277	45	14	-	-	ADJ
ap-1277	45	15	sheeted	sheeted	ADJ
ap-1277	45	16	riemann	riemann	PROPN
ap-1277	45	17	surface	surface	PROPN
ap-1277	45	18	r(multisheeted	r(multisheete	VERB
ap-1277	45	19	)	)	PUNCT
ap-1277	45	20	will	will	AUX
ap-1277	45	21	be	be	AUX
ap-1277	45	22	“	"	PUNCT
ap-1277	45	23	punctured	punctured	ADJ
ap-1277	45	24	”	"	PUNCT
ap-1277	45	25	at	at	ADP
ap-1277	45	26	x	x	PROPN
ap-1277	45	27	(	(	PUNCT
ap-1277	45	28	bp	bp	PROPN
ap-1277	45	29	)	)	PUNCT
ap-1277	45	30	(	(	PUNCT
ap-1277	45	31	±	±	NUM
ap-1277	45	32	)	)	PUNCT
ap-1277	45	33	=	=	VERB
ap-1277	45	34	±1	±1	VERB
ap-1277	45	35	.	.	PUNCT
ap-1277	46	1	in	in	ADP
ap-1277	46	2	the	the	DET
ap-1277	46	3	vicinity	vicinity	NOUN
ap-1277	46	4	of	of	ADP
ap-1277	46	5	these	these	DET
ap-1277	46	6	two	two	NUM
ap-1277	46	7	“	"	PUNCT
ap-1277	46	8	spikes	spike	NOUN
ap-1277	46	9	”	"	PUNCT
ap-1277	46	10	we	we	PRON
ap-1277	46	11	shall	shall	AUX
ap-1277	46	12	assume	assume	VERB
ap-1277	46	13	the	the	DET
ap-1277	46	14	generic	generic	ADJ
ap-1277	46	15	,	,	PUNCT
ap-1277	46	16	“	"	PUNCT
ap-1277	46	17	logarithmic	logarithmic	ADJ
ap-1277	46	18	”	"	PUNCT
ap-1277	46	19	[	[	X
ap-1277	46	20	11	11	NUM
ap-1277	46	21	]	]	PUNCT
ap-1277	46	22	structure	structure	NOUN
ap-1277	46	23	of	of	ADP
ap-1277	46	24	r(multisheeted	r(multisheete	VERB
ap-1277	46	25	)	)	PUNCT
ap-1277	46	26	.	.	PUNCT
ap-1277	47	1	85	85	NUM
ap-1277	47	2	acta	acta	PROPN
ap-1277	47	3	polytechnica	polytechnica	PROPN
ap-1277	47	4	vol	vol	NOUN
ap-1277	47	5	.	.	PUNCT
ap-1277	48	1	50	50	NUM
ap-1277	48	2	no	no	NOUN
ap-1277	48	3	.	.	PUNCT
ap-1277	49	1	5/2010	5/2010	NUM
ap-1277	49	2	2.2	2.2	NUM
ap-1277	49	3	winding	wind	VERB
ap-1277	49	4	descriptors	descriptor	NOUN
ap-1277	49	5	�	�	PROPN
ap-1277	49	6	the	the	DET
ap-1277	49	7	multiindex	multiindex	NOUN
ap-1277	49	8	�	�	PROPN
ap-1277	49	9	will	will	AUX
ap-1277	49	10	be	be	AUX
ap-1277	49	11	called	call	VERB
ap-1277	49	12	a	a	DET
ap-1277	49	13	“	"	PUNCT
ap-1277	49	14	winding	wind	VERB
ap-1277	49	15	descriptor	descriptor	NOUN
ap-1277	49	16	”	"	PUNCT
ap-1277	49	17	in	in	ADP
ap-1277	49	18	what	what	PRON
ap-1277	49	19	follows	follow	VERB
ap-1277	49	20	.	.	PUNCT
ap-1277	50	1	it	it	PRON
ap-1277	50	2	will	will	AUX
ap-1277	50	3	be	be	AUX
ap-1277	50	4	used	use	VERB
ap-1277	50	5	here	here	ADV
ap-1277	50	6	in	in	ADP
ap-1277	50	7	the	the	DET
ap-1277	50	8	form	form	NOUN
ap-1277	50	9	introduced	introduce	VERB
ap-1277	50	10	in	in	ADP
ap-1277	50	11	ref	ref	NOUN
ap-1277	50	12	.	.	PUNCT
ap-1277	51	1	[	[	X
ap-1277	51	2	12	12	NUM
ap-1277	51	3	]	]	PUNCT
ap-1277	51	4	,	,	PUNCT
ap-1277	51	5	where	where	SCONJ
ap-1277	51	6	each	each	PRON
ap-1277	51	7	curve	curve	VERB
ap-1277	51	8	c(	c(	PROPN
ap-1277	51	9	�	�	PROPN
ap-1277	51	10	)(s	)(s	ADJ
ap-1277	51	11	)	)	PUNCT
ap-1277	51	12	has	have	AUX
ap-1277	51	13	been	be	AUX
ap-1277	51	14	assumed	assume	VERB
ap-1277	51	15	moving	move	VERB
ap-1277	51	16	from	from	ADP
ap-1277	51	17	its	its	PRON
ap-1277	51	18	“	"	PUNCT
ap-1277	51	19	left	left	ADJ
ap-1277	51	20	asymptotics	asymptotic	NOUN
ap-1277	51	21	”	"	PUNCT
ap-1277	51	22	(	(	PUNCT
ap-1277	51	23	where	where	SCONJ
ap-1277	51	24	s	s	VERB
ap-1277	51	25	�	�	PROPN
ap-1277	51	26	−1	−1	NOUN
ap-1277	51	27	)	)	PUNCT
ap-1277	51	28	to	to	ADP
ap-1277	51	29	a	a	DET
ap-1277	51	30	point	point	NOUN
ap-1277	51	31	which	which	PRON
ap-1277	51	32	lies	lie	VERB
ap-1277	51	33	below	below	ADP
ap-1277	51	34	one	one	NUM
ap-1277	51	35	of	of	ADP
ap-1277	51	36	the	the	DET
ap-1277	51	37	branch	branch	NOUN
ap-1277	51	38	points	point	VERB
ap-1277	51	39	x	x	INTJ
ap-1277	51	40	(	(	PUNCT
ap-1277	51	41	bp	bp	PROPN
ap-1277	51	42	)	)	PUNCT
ap-1277	51	43	(	(	PUNCT
ap-1277	51	44	±	±	NUM
ap-1277	51	45	)	)	PUNCT
ap-1277	51	46	=	=	VERB
ap-1277	51	47	±1	±1	VERB
ap-1277	51	48	.	.	PUNCT
ap-1277	52	1	during	during	ADP
ap-1277	52	2	the	the	DET
ap-1277	52	3	further	further	ADJ
ap-1277	52	4	increase	increase	NOUN
ap-1277	52	5	of	of	ADP
ap-1277	52	6	s	s	PRON
ap-1277	52	7	one	one	NUM
ap-1277	52	8	simply	simply	ADV
ap-1277	52	9	selects	select	VERB
ap-1277	52	10	one	one	NUM
ap-1277	52	11	of	of	ADP
ap-1277	52	12	the	the	DET
ap-1277	52	13	following	follow	VERB
ap-1277	52	14	four	four	NUM
ap-1277	52	15	alternative	alternative	ADJ
ap-1277	52	16	possibilities	possibility	NOUN
ap-1277	52	17	:	:	PUNCT
ap-1277	52	18	•	•	NOUN
ap-1277	52	19	one	one	NUM
ap-1277	52	20	moves	move	VERB
ap-1277	52	21	counterclockwise	counterclockwise	ADV
ap-1277	52	22	around	around	ADP
ap-1277	52	23	the	the	DET
ap-1277	52	24	left	left	ADJ
ap-1277	52	25	branch	branch	NOUN
ap-1277	52	26	point	point	NOUN
ap-1277	52	27	x	x	PUNCT
ap-1277	52	28	(	(	PUNCT
ap-1277	52	29	bp	bp	PROPN
ap-1277	52	30	)	)	PUNCT
ap-1277	52	31	(	(	PUNCT
ap-1277	52	32	−	−	NOUN
ap-1277	52	33	)	)	PUNCT
ap-1277	52	34	(	(	PUNCT
ap-1277	52	35	this	this	DET
ap-1277	52	36	move	move	NOUN
ap-1277	52	37	is	be	AUX
ap-1277	52	38	represented	represent	VERB
ap-1277	52	39	by	by	ADP
ap-1277	52	40	the	the	DET
ap-1277	52	41	first	first	ADJ
ap-1277	52	42	letter	letter	NOUN
ap-1277	52	43	l	l	NOUN
ap-1277	52	44	in	in	ADP
ap-1277	52	45	the	the	DET
ap-1277	52	46	“	"	PUNCT
ap-1277	52	47	word	word	NOUN
ap-1277	52	48	”	"	PUNCT
ap-1277	52	49	�	�	PROPN
ap-1277	52	50	)	)	PUNCT
ap-1277	52	51	,	,	PUNCT
ap-1277	52	52	•	•	NOUN
ap-1277	52	53	one	one	NUM
ap-1277	52	54	moves	move	VERB
ap-1277	52	55	counterclockwise	counterclockwise	ADV
ap-1277	52	56	around	around	ADP
ap-1277	52	57	the	the	DET
ap-1277	52	58	right	right	ADJ
ap-1277	52	59	branch	branch	NOUN
ap-1277	52	60	point	point	NOUN
ap-1277	52	61	x	x	PUNCT
ap-1277	52	62	(	(	PUNCT
ap-1277	52	63	bp	bp	PROPN
ap-1277	52	64	)	)	PUNCT
ap-1277	52	65	(	(	PUNCT
ap-1277	52	66	+	+	X
ap-1277	52	67	)	)	PUNCT
ap-1277	52	68	(	(	PUNCT
ap-1277	52	69	this	this	DET
ap-1277	52	70	move	move	NOUN
ap-1277	52	71	is	be	AUX
ap-1277	52	72	represented	represent	VERB
ap-1277	52	73	by	by	ADP
ap-1277	52	74	letter	letter	NOUN
ap-1277	52	75	r	r	PROPN
ap-1277	52	76	)	)	PUNCT
ap-1277	52	77	,	,	PUNCT
ap-1277	52	78	•	•	NOUN
ap-1277	52	79	one	one	NUM
ap-1277	52	80	moves	move	NOUN
ap-1277	52	81	clockwise	clockwise	VERB
ap-1277	52	82	around	around	ADP
ap-1277	52	83	the	the	DET
ap-1277	52	84	left	left	ADJ
ap-1277	52	85	branch	branch	NOUN
ap-1277	52	86	point	point	NOUN
ap-1277	52	87	x	x	PUNCT
ap-1277	52	88	(	(	PUNCT
ap-1277	52	89	bp	bp	PROPN
ap-1277	52	90	)	)	PUNCT
ap-1277	52	91	(	(	PUNCT
ap-1277	52	92	−	−	NOUN
ap-1277	52	93	)	)	PUNCT
ap-1277	52	94	(	(	PUNCT
ap-1277	52	95	this	this	DET
ap-1277	52	96	move	move	NOUN
ap-1277	52	97	is	be	AUX
ap-1277	52	98	represented	represent	VERB
ap-1277	52	99	by	by	ADP
ap-1277	52	100	letter	letter	NOUN
ap-1277	52	101	q	q	PROPN
ap-1277	52	102	or	or	CCONJ
ap-1277	52	103	symbol	symbol	NOUN
ap-1277	52	104	l−1	l−1	PROPN
ap-1277	52	105	≡	≡	PROPN
ap-1277	52	106	q	q	PROPN
ap-1277	52	107	)	)	PUNCT
ap-1277	52	108	,	,	PUNCT
ap-1277	52	109	•	•	NOUN
ap-1277	52	110	one	one	NUM
ap-1277	52	111	moves	move	NOUN
ap-1277	52	112	clockwise	clockwise	VERB
ap-1277	52	113	around	around	ADP
ap-1277	52	114	the	the	DET
ap-1277	52	115	right	right	ADJ
ap-1277	52	116	branch	branch	NOUN
ap-1277	52	117	point	point	NOUN
ap-1277	52	118	x	x	PUNCT
ap-1277	52	119	(	(	PUNCT
ap-1277	52	120	bp	bp	PROPN
ap-1277	52	121	)	)	PUNCT
ap-1277	52	122	(	(	PUNCT
ap-1277	52	123	+	+	X
ap-1277	52	124	)	)	PUNCT
ap-1277	52	125	(	(	PUNCT
ap-1277	52	126	this	this	DET
ap-1277	52	127	move	move	NOUN
ap-1277	52	128	is	be	AUX
ap-1277	52	129	represented	represent	VERB
ap-1277	52	130	by	by	ADP
ap-1277	52	131	letter	letter	NOUN
ap-1277	52	132	p	p	NOUN
ap-1277	52	133	or	or	CCONJ
ap-1277	52	134	symbol	symbol	NOUN
ap-1277	52	135	r−1	r−1	PROPN
ap-1277	52	136	≡	≡	PROPN
ap-1277	52	137	p	p	NOUN
ap-1277	52	138	)	)	PUNCT
ap-1277	52	139	.	.	PUNCT
ap-1277	53	1	in	in	ADP
ap-1277	53	2	this	this	DET
ap-1277	53	3	manner	manner	NOUN
ap-1277	53	4	we	we	PRON
ap-1277	53	5	may	may	AUX
ap-1277	53	6	compose	compose	VERB
ap-1277	53	7	the	the	DET
ap-1277	53	8	moves	move	NOUN
ap-1277	53	9	and	and	CCONJ
ap-1277	53	10	characterize	characterize	VERB
ap-1277	53	11	each	each	DET
ap-1277	53	12	contour	contour	NOUN
ap-1277	53	13	by	by	ADP
ap-1277	53	14	a	a	DET
ap-1277	53	15	word	word	NOUN
ap-1277	53	16	�	�	PROPN
ap-1277	53	17	composed	compose	VERB
ap-1277	53	18	of	of	ADP
ap-1277	53	19	the	the	DET
ap-1277	53	20	sequence	sequence	NOUN
ap-1277	53	21	of	of	ADP
ap-1277	53	22	letters	letter	NOUN
ap-1277	53	23	selected	select	VERB
ap-1277	53	24	from	from	ADP
ap-1277	53	25	the	the	DET
ap-1277	53	26	four	four	NUM
ap-1277	53	27	-	-	PUNCT
ap-1277	53	28	letter	letter	NOUN
ap-1277	53	29	alphabet	alphabet	NOUN
ap-1277	53	30	r	r	NOUN
ap-1277	53	31	,	,	PUNCT
ap-1277	53	32	l	l	NOUN
ap-1277	53	33	,	,	PUNCT
ap-1277	53	34	q	q	NOUN
ap-1277	53	35	and	and	CCONJ
ap-1277	53	36	p	p	NOUN
ap-1277	53	37	.	.	PUNCT
ap-1277	54	1	once	once	SCONJ
ap-1277	54	2	we	we	PRON
ap-1277	54	3	add	add	VERB
ap-1277	54	4	the	the	DET
ap-1277	54	5	requirement	requirement	NOUN
ap-1277	54	6	of	of	ADP
ap-1277	54	7	pt	pt	PROPN
ap-1277	54	8	-symmetry	-symmetry	PROPN
ap-1277	54	9	(	(	PUNCT
ap-1277	54	10	i.e.	i.e.	X
ap-1277	54	11	,	,	PUNCT
ap-1277	54	12	of	of	ADP
ap-1277	54	13	a	a	DET
ap-1277	54	14	left	left	ADJ
ap-1277	54	15	-	-	PUNCT
ap-1277	54	16	right	right	NOUN
ap-1277	54	17	symmetry	symmetry	NOUN
ap-1277	54	18	of	of	ADP
ap-1277	54	19	contours	contours	NOUN
ap-1277	54	20	)	)	PUNCT
ap-1277	54	21	we	we	PRON
ap-1277	54	22	arrive	arrive	VERB
ap-1277	54	23	at	at	ADP
ap-1277	54	24	the	the	DET
ap-1277	54	25	sequence	sequence	NOUN
ap-1277	54	26	of	of	ADP
ap-1277	54	27	eligible	eligible	ADJ
ap-1277	54	28	words	word	NOUN
ap-1277	54	29	�	�	PROPN
ap-1277	54	30	of	of	ADP
ap-1277	54	31	even	even	ADV
ap-1277	54	32	length	length	NOUN
ap-1277	54	33	2n	2n	NUM
ap-1277	54	34	.	.	PUNCT
ap-1277	55	1	at	at	ADP
ap-1277	55	2	n	n	NOUN
ap-1277	55	3	=	=	SYM
ap-1277	55	4	0	0	NUM
ap-1277	55	5	we	we	PRON
ap-1277	55	6	may	may	AUX
ap-1277	55	7	assign	assign	VERB
ap-1277	55	8	the	the	DET
ap-1277	55	9	empty	empty	ADJ
ap-1277	55	10	symbol	symbol	NOUN
ap-1277	55	11	�	�	NOUN
ap-1277	55	12	=	=	SYM
ap-1277	55	13	∅	∅	NOUN
ap-1277	55	14	or	or	CCONJ
ap-1277	55	15	�	�	PROPN
ap-1277	55	16	=	=	SYM
ap-1277	55	17	0	0	NUM
ap-1277	55	18	to	to	ADP
ap-1277	55	19	the	the	DET
ap-1277	55	20	one	one	NUM
ap-1277	55	21	-	-	PUNCT
ap-1277	55	22	parametric	parametric	NOUN
ap-1277	55	23	family	family	NOUN
ap-1277	55	24	of	of	ADP
ap-1277	55	25	the	the	DET
ap-1277	55	26	straight	straight	ADJ
ap-1277	55	27	lines	line	NOUN
ap-1277	55	28	of	of	ADP
ap-1277	55	29	ref	ref	NOUN
ap-1277	55	30	.	.	PUNCT
ap-1277	56	1	[	[	X
ap-1277	56	2	5	5	NUM
ap-1277	56	3	]	]	PUNCT
ap-1277	56	4	,	,	PUNCT
ap-1277	56	5	c(0)(s	c(0)(s	ADJ
ap-1277	56	6	)	)	PUNCT
ap-1277	56	7	≡	≡	PROPN
ap-1277	56	8	s	s	PART
ap-1277	57	1	−	−	PROPN
ap-1277	57	2	i	i	PRON
ap-1277	57	3	ε	ε	PROPN
ap-1277	57	4	,	,	PUNCT
ap-1277	57	5	ε	ε	PROPN
ap-1277	57	6	>	>	X
ap-1277	57	7	0	0	PROPN
ap-1277	57	8	.	.	PUNCT
ap-1277	58	1	(	(	PUNCT
ap-1277	58	2	6	6	NUM
ap-1277	58	3	)	)	PUNCT
ap-1277	58	4	thus	thus	ADV
ap-1277	58	5	,	,	PUNCT
ap-1277	58	6	one	one	PRON
ap-1277	58	7	encounters	encounter	VERB
ap-1277	58	8	precisely	precisely	ADV
ap-1277	58	9	four	four	NUM
ap-1277	58	10	possible	possible	ADJ
ap-1277	58	11	arrangements	arrangement	NOUN
ap-1277	58	12	of	of	ADP
ap-1277	58	13	the	the	DET
ap-1277	58	14	descriptor	descriptor	NOUN
ap-1277	58	15	,	,	PUNCT
ap-1277	58	16	viz	viz	PROPN
ap-1277	58	17	,	,	PUNCT
ap-1277	58	18	�	�	PROPN
ap-1277	58	19	∈	∈	PROPN
ap-1277	58	20	{	{	PUNCT
ap-1277	58	21	lr	lr	INTJ
ap-1277	58	22	,	,	PUNCT
ap-1277	58	23	l−1r−1	l−1r−1	INTJ
ap-1277	58	24	,	,	PUNCT
ap-1277	58	25	rl	rl	X
ap-1277	58	26	,	,	PUNCT
ap-1277	58	27	r−1l−1	r−1l−1	PROPN
ap-1277	58	28	}	}	PUNCT
ap-1277	58	29	,	,	PUNCT
ap-1277	58	30	n	n	NOUN
ap-1277	58	31	=	=	SYM
ap-1277	58	32	1	1	NUM
ap-1277	58	33	(	(	PUNCT
ap-1277	58	34	7	7	NUM
ap-1277	58	35	)	)	PUNCT
ap-1277	58	36	in	in	ADP
ap-1277	58	37	the	the	DET
ap-1277	58	38	first	first	ADJ
ap-1277	58	39	nontrivial	nontrivial	ADJ
ap-1277	58	40	case	case	NOUN
ap-1277	58	41	.	.	PUNCT
ap-1277	59	1	in	in	ADP
ap-1277	59	2	the	the	DET
ap-1277	59	3	more	more	ADV
ap-1277	59	4	complicated	complicated	ADJ
ap-1277	59	5	cases	case	NOUN
ap-1277	59	6	wheren	wheren	VERB
ap-1277	59	7	>	>	X
ap-1277	59	8	1	1	NUM
ap-1277	59	9	it	it	PRON
ap-1277	59	10	makes	make	VERB
ap-1277	59	11	sense	sense	NOUN
ap-1277	59	12	to	to	PART
ap-1277	59	13	re	re	VERB
ap-1277	59	14	-	-	VERB
ap-1277	59	15	express	express	VERB
ap-1277	59	16	the	the	DET
ap-1277	59	17	requirement	requirement	NOUN
ap-1277	59	18	of	of	ADP
ap-1277	59	19	pt	pt	PROPN
ap-1277	59	20	-symmetry	-symmetry	PROPN
ap-1277	59	21	in	in	ADP
ap-1277	59	22	the	the	DET
ap-1277	59	23	form	form	NOUN
ap-1277	59	24	of	of	ADP
ap-1277	59	25	the	the	DET
ap-1277	59	26	stringdecomposition	stringdecomposition	NOUN
ap-1277	59	27	�	�	PROPN
ap-1277	59	28	=	=	SYM
ap-1277	59	29	ω	ω	PROPN
ap-1277	59	30	⋃	⋃	PROPN
ap-1277	59	31	ωt	ωt	ADP
ap-1277	59	32	where	where	SCONJ
ap-1277	59	33	the	the	DET
ap-1277	59	34	superscript	superscript	PROPN
ap-1277	59	35	t	t	PROPN
ap-1277	59	36	marks	mark	VERB
ap-1277	59	37	an	an	DET
ap-1277	59	38	ad	ad	NOUN
ap-1277	59	39	hoc	hoc	X
ap-1277	59	40	transposition	transposition	NOUN
ap-1277	59	41	,	,	PUNCT
ap-1277	59	42	i.e.	i.e.	X
ap-1277	59	43	,	,	PUNCT
ap-1277	59	44	the	the	DET
ap-1277	59	45	reverse	reverse	ADJ
ap-1277	59	46	reading	reading	NOUN
ap-1277	59	47	accompanied	accompany	VERB
ap-1277	59	48	by	by	ADP
ap-1277	59	49	the	the	DET
ap-1277	59	50	l	l	NOUN
ap-1277	59	51	↔	↔	PROPN
ap-1277	59	52	r	r	NOUN
ap-1277	59	53	interchange	interchange	NOUN
ap-1277	59	54	of	of	ADP
ap-1277	59	55	symbols	symbol	NOUN
ap-1277	59	56	.	.	PUNCT
ap-1277	60	1	thus	thus	ADV
ap-1277	60	2	,	,	PUNCT
ap-1277	60	3	besides	besides	SCONJ
ap-1277	60	4	the	the	DET
ap-1277	60	5	illustrative	illustrative	NOUN
ap-1277	60	6	eq	eq	X
ap-1277	60	7	.	.	PUNCT
ap-1277	61	1	(	(	PUNCT
ap-1277	61	2	7	7	X
ap-1277	61	3	)	)	PUNCT
ap-1277	61	4	we	we	PRON
ap-1277	61	5	may	may	AUX
ap-1277	61	6	immediately	immediately	ADV
ap-1277	61	7	complement	complement	VERB
ap-1277	61	8	the	the	DET
ap-1277	61	9	first	first	ADJ
ap-1277	61	10	nontrivial	nontrivial	NOUN
ap-1277	61	11	list	list	NOUN
ap-1277	61	12	ω	ω	PROPN
ap-1277	61	13	∈	∈	PROPN
ap-1277	61	14	{	{	PUNCT
ap-1277	61	15	l	l	NOUN
ap-1277	61	16	,	,	PUNCT
ap-1277	61	17	l−1	l−1	PROPN
ap-1277	61	18	,	,	PUNCT
ap-1277	61	19	r	r	NOUN
ap-1277	61	20	,	,	PUNCT
ap-1277	61	21	r−1	r−1	PROPN
ap-1277	61	22	}	}	PUNCT
ap-1277	61	23	,	,	PUNCT
ap-1277	61	24	n	n	NOUN
ap-1277	61	25	=	=	SYM
ap-1277	61	26	1	1	NUM
ap-1277	61	27	,	,	PUNCT
ap-1277	61	28	by	by	ADP
ap-1277	61	29	its	its	PRON
ap-1277	61	30	n	n	NOUN
ap-1277	61	31	=	=	SYM
ap-1277	61	32	2	2	NUM
ap-1277	61	33	descendant	descendant	NOUN
ap-1277	61	34	{	{	PUNCT
ap-1277	61	35	ll	ll	NOUN
ap-1277	61	36	,	,	PUNCT
ap-1277	61	37	lr	lr	INTJ
ap-1277	61	38	,	,	PUNCT
ap-1277	61	39	rl	rl	X
ap-1277	61	40	,	,	PUNCT
ap-1277	61	41	rr	rr	PROPN
ap-1277	61	42	,	,	PUNCT
ap-1277	61	43	l−1r	l−1r	PROPN
ap-1277	61	44	,	,	PUNCT
ap-1277	61	45	r−1l	r−1l	NOUN
ap-1277	61	46	,	,	PUNCT
ap-1277	61	47	lr−1	lr−1	PROPN
ap-1277	61	48	,	,	PUNCT
ap-1277	61	49	rl−1	rl−1	NOUN
ap-1277	61	50	,	,	PUNCT
ap-1277	61	51	l−1l−1	l−1l−1	PROPN
ap-1277	61	52	,	,	PUNCT
ap-1277	61	53	l−1r−1	l−1r−1	PROPN
ap-1277	61	54	,	,	PUNCT
ap-1277	61	55	r−1l−1	r−1l−1	PROPN
ap-1277	61	56	,	,	PUNCT
ap-1277	61	57	r−1r−1	r−1r−1	PROPN
ap-1277	61	58	}	}	PUNCT
ap-1277	61	59	(	(	PUNCT
ap-1277	61	60	8)	8)	NUM
ap-1277	61	61	etc	etc	X
ap-1277	61	62	.	.	PUNCT
ap-1277	62	1	the	the	DET
ap-1277	62	2	four	four	NUM
ap-1277	62	3	“	"	PUNCT
ap-1277	62	4	missing	missing	ADJ
ap-1277	62	5	”	"	PUNCT
ap-1277	62	6	words	word	NOUN
ap-1277	62	7	ll−1	ll−1	PROPN
ap-1277	62	8	,	,	PUNCT
ap-1277	62	9	l−1l	l−1l	INTJ
ap-1277	62	10	,	,	PUNCT
ap-1277	62	11	rr−1	rr−1	PROPN
ap-1277	62	12	and	and	CCONJ
ap-1277	62	13	r−1r	r−1r	PROPN
ap-1277	62	14	had	have	VERB
ap-1277	62	15	to	to	PART
ap-1277	62	16	be	be	AUX
ap-1277	62	17	omitted	omit	VERB
ap-1277	62	18	as	as	ADP
ap-1277	62	19	trivial	trivial	ADJ
ap-1277	62	20	here	here	ADV
ap-1277	62	21	because	because	SCONJ
ap-1277	62	22	they	they	PRON
ap-1277	62	23	cancel	cancel	VERB
ap-1277	62	24	each	each	DET
ap-1277	62	25	other	other	ADJ
ap-1277	62	26	when	when	SCONJ
ap-1277	62	27	interpreted	interpret	VERB
ap-1277	62	28	as	as	ADP
ap-1277	62	29	windings	winding	NOUN
ap-1277	62	30	[	[	X
ap-1277	62	31	12	12	NUM
ap-1277	62	32	]	]	PUNCT
ap-1277	62	33	.	.	PUNCT
ap-1277	63	1	3	3	NUM
ap-1277	63	2	rectifications	rectification	NOUN
ap-1277	63	3	3.1	3.1	NUM
ap-1277	63	4	formula	formula	NOUN
ap-1277	63	5	the	the	DET
ap-1277	63	6	core	core	NOUN
ap-1277	63	7	of	of	ADP
ap-1277	63	8	our	our	PRON
ap-1277	63	9	present	present	ADJ
ap-1277	63	10	message	message	NOUN
ap-1277	63	11	lies	lie	VERB
ap-1277	63	12	in	in	ADP
ap-1277	63	13	the	the	DET
ap-1277	63	14	idea	idea	NOUN
ap-1277	63	15	that	that	SCONJ
ap-1277	63	16	the	the	DET
ap-1277	63	17	non	non	ADJ
ap-1277	63	18	-	-	ADJ
ap-1277	63	19	tobogganic	tobogganic	ADJ
ap-1277	63	20	straight	straight	ADJ
ap-1277	63	21	lines	line	NOUN
ap-1277	63	22	(	(	PUNCT
ap-1277	63	23	6	6	NUM
ap-1277	63	24	)	)	PUNCT
ap-1277	63	25	may	may	AUX
ap-1277	63	26	be	be	AUX
ap-1277	63	27	mapped	map	VERB
ap-1277	63	28	on	on	ADP
ap-1277	63	29	their	their	PRON
ap-1277	63	30	specific	specific	ADJ
ap-1277	63	31	(	(	PUNCT
ap-1277	63	32	called	call	VERB
ap-1277	63	33	“	"	PUNCT
ap-1277	63	34	rectifiable	rectifiable	ADJ
ap-1277	63	35	”	"	PUNCT
ap-1277	63	36	)	)	PUNCT
ap-1277	63	37	tobogganic	tobogganic	ADJ
ap-1277	63	38	descendants	descendant	NOUN
ap-1277	63	39	.	.	PUNCT
ap-1277	64	1	for	for	ADP
ap-1277	64	2	this	this	DET
ap-1277	64	3	purpose	purpose	NOUN
ap-1277	64	4	one	one	PRON
ap-1277	64	5	may	may	AUX
ap-1277	64	6	use	use	VERB
ap-1277	64	7	the	the	DET
ap-1277	64	8	following	follow	VERB
ap-1277	64	9	closed	close	VERB
ap-1277	64	10	-	-	PUNCT
ap-1277	64	11	form	form	NOUN
ap-1277	64	12	recipe	recipe	NOUN
ap-1277	64	13	of	of	ADP
ap-1277	64	14	ref	ref	NOUN
ap-1277	64	15	.	.	PUNCT
ap-1277	65	1	[	[	X
ap-1277	65	2	12	12	NUM
ap-1277	65	3	]	]	PUNCT
ap-1277	65	4	,	,	PUNCT
ap-1277	65	5	m	m	VERB
ap-1277	65	6	:	:	PUNCT
ap-1277	65	7	(	(	PUNCT
ap-1277	65	8	z	z	NOUN
ap-1277	65	9	∈	∈	PROPN
ap-1277	65	10	c(0)(s	c(0)(s	NOUN
ap-1277	65	11	)	)	PUNCT
ap-1277	65	12	)	)	PUNCT
ap-1277	66	1	→	→	PUNCT
ap-1277	66	2	(	(	PUNCT
ap-1277	66	3	x	x	SYM
ap-1277	66	4	∈	∈	PROPN
ap-1277	66	5	c(	c(	PROPN
ap-1277	66	6	�	�	PROPN
ap-1277	66	7	)(s	)(s	ADJ
ap-1277	66	8	)	)	PUNCT
ap-1277	66	9	)	)	PUNCT
ap-1277	66	10	(	(	PUNCT
ap-1277	66	11	9	9	X
ap-1277	66	12	)	)	PUNCT
ap-1277	66	13	where	where	SCONJ
ap-1277	66	14	one	one	NUM
ap-1277	66	15	defines	define	VERB
ap-1277	66	16	x	x	PUNCT
ap-1277	66	17	=	=	PUNCT
ap-1277	66	18	−i	−i	ADJ
ap-1277	66	19	√	√	INTJ
ap-1277	66	20	(	(	PUNCT
ap-1277	66	21	1−	1−	NUM
ap-1277	66	22	z2)κ	z2)κ	NOUN
ap-1277	66	23	−	−	PROPN
ap-1277	66	24	1	1	NUM
ap-1277	66	25	.	.	PUNCT
ap-1277	67	1	(	(	PUNCT
ap-1277	67	2	10	10	NUM
ap-1277	67	3	)	)	PUNCT
ap-1277	67	4	this	this	DET
ap-1277	67	5	formula	formula	NOUN
ap-1277	67	6	guarantees	guarantee	VERB
ap-1277	67	7	the	the	DET
ap-1277	67	8	pt	pt	NOUN
ap-1277	67	9	symmetry	symmetry	NOUN
ap-1277	67	10	of	of	ADP
ap-1277	67	11	the	the	DET
ap-1277	67	12	resulting	result	VERB
ap-1277	67	13	contour	contour	NOUN
ap-1277	67	14	as	as	ADV
ap-1277	67	15	well	well	ADV
ap-1277	67	16	as	as	ADP
ap-1277	67	17	the	the	DET
ap-1277	67	18	stability	stability	NOUN
ap-1277	67	19	of	of	ADP
ap-1277	67	20	the	the	DET
ap-1277	67	21	position	position	NOUN
ap-1277	67	22	of	of	ADP
ap-1277	67	23	our	our	PRON
ap-1277	67	24	pair	pair	NOUN
ap-1277	67	25	of	of	ADP
ap-1277	67	26	branch	branch	NOUN
ap-1277	67	27	points	point	NOUN
ap-1277	67	28	.	.	PUNCT
ap-1277	68	1	another	another	DET
ap-1277	68	2	consequence	consequence	NOUN
ap-1277	68	3	of	of	ADP
ap-1277	68	4	this	this	DET
ap-1277	68	5	choice	choice	NOUN
ap-1277	68	6	is	be	AUX
ap-1277	68	7	that	that	SCONJ
ap-1277	68	8	the	the	DET
ap-1277	68	9	negative	negative	ADJ
ap-1277	68	10	imaginary	imaginary	ADJ
ap-1277	68	11	axis	axis	NOUN
ap-1277	68	12	of	of	ADP
ap-1277	68	13	z	z	NOUN
ap-1277	68	14	=	=	NOUN
ap-1277	68	15	−i|z|	−i|z|	NOUN
ap-1277	68	16	is	be	AUX
ap-1277	68	17	mapped	map	VERB
ap-1277	68	18	upon	upon	SCONJ
ap-1277	68	19	itself	itself	PRON
ap-1277	68	20	.	.	PUNCT
ap-1277	69	1	some	some	DET
ap-1277	69	2	purely	purely	ADV
ap-1277	69	3	numerical	numerical	ADJ
ap-1277	69	4	features	feature	NOUN
ap-1277	69	5	of	of	ADP
ap-1277	69	6	the	the	DET
ap-1277	69	7	mapping	mapping	NOUN
ap-1277	69	8	(	(	PUNCT
ap-1277	69	9	10	10	NUM
ap-1277	69	10	)	)	PUNCT
ap-1277	69	11	may	may	AUX
ap-1277	69	12	also	also	ADV
ap-1277	69	13	be	be	AUX
ap-1277	69	14	checked	check	VERB
ap-1277	69	15	via	via	ADP
ap-1277	69	16	the	the	DET
ap-1277	69	17	freely	freely	ADV
ap-1277	69	18	available	available	ADJ
ap-1277	69	19	software	software	NOUN
ap-1277	69	20	of	of	ADP
ap-1277	69	21	ref	ref	NOUN
ap-1277	69	22	.	.	PUNCT
ap-1277	70	1	[	[	X
ap-1277	70	2	13	13	NUM
ap-1277	70	3	]	]	PUNCT
ap-1277	70	4	.	.	PUNCT
ap-1277	71	1	on	on	ADP
ap-1277	71	2	this	this	DET
ap-1277	71	3	empirical	empirical	ADJ
ap-1277	71	4	basis	basis	NOUN
ap-1277	71	5	we	we	PRON
ap-1277	71	6	shall	shall	AUX
ap-1277	71	7	require	require	VERB
ap-1277	71	8	exponent	exponent	PROPN
ap-1277	71	9	κ	κ	PRON
ap-1277	71	10	to	to	PART
ap-1277	71	11	be	be	AUX
ap-1277	71	12	chosen	choose	VERB
ap-1277	71	13	here	here	ADV
ap-1277	71	14	as	as	ADP
ap-1277	71	15	an	an	DET
ap-1277	71	16	odd	odd	ADJ
ap-1277	71	17	positive	positive	ADJ
ap-1277	71	18	integer	integer	NOUN
ap-1277	71	19	,	,	PUNCT
ap-1277	71	20	κ	κ	X
ap-1277	71	21	=	=	NOUN
ap-1277	71	22	2	2	NUM
ap-1277	71	23	m	m	NOUN
ap-1277	71	24	+	+	NOUN
ap-1277	71	25	1	1	NUM
ap-1277	71	26	,	,	PUNCT
ap-1277	71	27	m	m	VERB
ap-1277	71	28	=	=	NOUN
ap-1277	71	29	1	1	NUM
ap-1277	71	30	,	,	PUNCT
ap-1277	71	31	2	2	NUM
ap-1277	71	32	,	,	PUNCT
ap-1277	71	33	.	.	PUNCT
ap-1277	71	34	.	.	PUNCT
ap-1277	72	1	..	..	PUNCT
ap-1277	72	2	in	in	ADP
ap-1277	72	3	this	this	DET
ap-1277	72	4	case	case	NOUN
ap-1277	72	5	the	the	DET
ap-1277	72	6	asymptotics	asymptotic	NOUN
ap-1277	72	7	of	of	ADP
ap-1277	72	8	the	the	DET
ap-1277	72	9	resulting	result	VERB
ap-1277	72	10	nontrivial	nontrivial	ADJ
ap-1277	72	11	tobogganic	tobogganic	ADJ
ap-1277	72	12	contours	contours	NOUN
ap-1277	72	13	(	(	PUNCT
ap-1277	72	14	with	with	ADP
ap-1277	72	15	m	m	PROPN
ap-1277	72	16	=	=	SYM
ap-1277	72	17	0	0	NUM
ap-1277	72	18	)	)	PUNCT
ap-1277	72	19	will	will	AUX
ap-1277	72	20	still	still	ADV
ap-1277	72	21	parallel	parallel	VERB
ap-1277	72	22	the	the	DET
ap-1277	72	23	κ	κ	NOUN
ap-1277	72	24	=	=	SYM
ap-1277	72	25	1	1	NUM
ap-1277	72	26	real	real	ADJ
ap-1277	72	27	line	line	NOUN
ap-1277	72	28	c(0)(s	c(0)(s	NOUN
ap-1277	72	29	)	)	PUNCT
ap-1277	72	30	in	in	ADP
ap-1277	72	31	the	the	DET
ap-1277	72	32	leading	lead	VERB
ap-1277	72	33	-	-	PUNCT
ap-1277	72	34	order	order	NOUN
ap-1277	72	35	approximation	approximation	NOUN
ap-1277	72	36	.	.	PUNCT
ap-1277	73	1	3.2	3.2	NUM
ap-1277	73	2	sequences	sequence	NOUN
ap-1277	73	3	of	of	ADP
ap-1277	73	4	critical	critical	ADJ
ap-1277	73	5	points	point	NOUN
ap-1277	73	6	an	an	DET
ap-1277	73	7	inspection	inspection	NOUN
ap-1277	73	8	of	of	ADP
ap-1277	73	9	figures	figure	NOUN
ap-1277	73	10	2	2	NUM
ap-1277	73	11	and	and	CCONJ
ap-1277	73	12	3	3	NUM
ap-1277	73	13	and	and	CCONJ
ap-1277	73	14	a	a	DET
ap-1277	73	15	comparison	comparison	NOUN
ap-1277	73	16	with	with	ADP
ap-1277	73	17	figures	figure	NOUN
ap-1277	73	18	4	4	NUM
ap-1277	73	19	and	and	CCONJ
ap-1277	73	20	5	5	NUM
ap-1277	73	21	reveals	reveal	VERB
ap-1277	73	22	that	that	SCONJ
ap-1277	73	23	one	one	PRON
ap-1277	73	24	should	should	AUX
ap-1277	73	25	expect	expect	VERB
ap-1277	73	26	the	the	DET
ap-1277	73	27	emergence	emergence	NOUN
ap-1277	73	28	of	of	ADP
ap-1277	73	29	sudden	sudden	ADJ
ap-1277	73	30	changes	change	NOUN
ap-1277	73	31	of	of	ADP
ap-1277	73	32	the	the	DET
ap-1277	73	33	winding	wind	VERB
ap-1277	73	34	descriptors	descriptor	NOUN
ap-1277	73	35	�	�	PROPN
ap-1277	73	36	during	during	ADP
ap-1277	73	37	a	a	DET
ap-1277	73	38	smooth	smooth	ADJ
ap-1277	73	39	variation	variation	NOUN
ap-1277	73	40	of	of	ADP
ap-1277	73	41	the	the	DET
ap-1277	73	42	shift	shift	NOUN
ap-1277	73	43	re	re	ADP
ap-1277	73	44	x	x	PROPN
ap-1277	73	45	i	i	VERB
ap-1277	73	46	m	m	VERB
ap-1277	73	47	x	x	INTJ
ap-1277	73	48	–	–	PUNCT
ap-1277	73	49	6	6	NUM
ap-1277	73	50	–	–	SYM
ap-1277	73	51	4	4	NUM
ap-1277	73	52	–	–	SYM
ap-1277	73	53	2	2	NUM
ap-1277	73	54	–	–	SYM
ap-1277	73	55	4	4	NUM
ap-1277	73	56	–	–	SYM
ap-1277	73	57	2	2	NUM
ap-1277	73	58	2	2	NUM
ap-1277	73	59	fig	fig	NOUN
ap-1277	73	60	.	.	PUNCT
ap-1277	74	1	5	5	NUM
ap-1277	74	2	:	:	PUNCT
ap-1277	74	3	the	the	DET
ap-1277	74	4	fully	fully	ADV
ap-1277	74	5	developed	develop	VERB
ap-1277	74	6	version	version	NOUN
ap-1277	74	7	of	of	ADP
ap-1277	74	8	the	the	DET
ap-1277	74	9	single	single	ADJ
ap-1277	74	10	-	-	PUNCT
ap-1277	74	11	circle	circle	NOUN
ap-1277	74	12	tobogganic	tobogganic	ADJ
ap-1277	74	13	curve	curve	NOUN
ap-1277	74	14	c(rl)(s	c(rl)(s	NOUN
ap-1277	74	15	)	)	PUNCT
ap-1277	74	16	obtained	obtain	VERB
ap-1277	74	17	at	at	ADP
ap-1277	74	18	κ	κ	NOUN
ap-1277	74	19	=	=	SYM
ap-1277	74	20	3	3	NUM
ap-1277	74	21	and	and	CCONJ
ap-1277	74	22	ε	ε	PROPN
ap-1277	74	23	=	=	NOUN
ap-1277	74	24	0.400	0.400	NUM
ap-1277	74	25	86	86	NUM
ap-1277	74	26	acta	acta	PROPN
ap-1277	74	27	polytechnica	polytechnica	PROPN
ap-1277	74	28	vol	vol	NOUN
ap-1277	74	29	.	.	PROPN
ap-1277	75	1	50	50	NUM
ap-1277	75	2	no	no	NOUN
ap-1277	75	3	.	.	PUNCT
ap-1277	76	1	5/2010	5/2010	PROPN
ap-1277	76	2	ε	ε	PROPN
ap-1277	76	3	>	>	X
ap-1277	76	4	0	0	NUM
ap-1277	76	5	of	of	ADP
ap-1277	76	6	the	the	DET
ap-1277	76	7	initial	initial	ADJ
ap-1277	76	8	straight	straight	ADJ
ap-1277	76	9	line	line	NOUN
ap-1277	76	10	of	of	ADP
ap-1277	76	11	z	z	PROPN
ap-1277	76	12	introduced	introduce	VERB
ap-1277	76	13	via	via	ADP
ap-1277	76	14	eq	eq	PROPN
ap-1277	76	15	.	.	PUNCT
ap-1277	77	1	(	(	PUNCT
ap-1277	77	2	6	6	NUM
ap-1277	77	3	)	)	PUNCT
ap-1277	77	4	.	.	PUNCT
ap-1277	78	1	formally	formally	ADV
ap-1277	78	2	we	we	PRON
ap-1277	78	3	may	may	AUX
ap-1277	78	4	set	set	VERB
ap-1277	78	5	�	�	PROPN
ap-1277	78	6	=	=	SYM
ap-1277	78	7	�	�	PROPN
ap-1277	78	8	(	(	PUNCT
ap-1277	78	9	ε	ε	PROPN
ap-1277	78	10	)	)	PUNCT
ap-1277	78	11	and	and	CCONJ
ap-1277	78	12	mark	mark	VERB
ap-1277	78	13	the	the	DET
ap-1277	78	14	set	set	NOUN
ap-1277	78	15	of	of	ADP
ap-1277	78	16	corresponding	corresponding	ADJ
ap-1277	78	17	points	point	NOUN
ap-1277	78	18	of	of	ADP
ap-1277	78	19	changes	change	NOUN
ap-1277	78	20	of	of	ADP
ap-1277	78	21	�	�	PROPN
ap-1277	78	22	(	(	PUNCT
ap-1277	78	23	ε	ε	PROPN
ap-1277	78	24	)	)	PUNCT
ap-1277	78	25	by	by	ADP
ap-1277	78	26	the	the	DET
ap-1277	78	27	suband	suband	NOUN
ap-1277	78	28	superscript	superscript	PROPN
ap-1277	78	29	in	in	ADP
ap-1277	78	30	ε	ε	PROPN
ap-1277	78	31	(	(	PUNCT
ap-1277	78	32	critical	critical	ADJ
ap-1277	78	33	)	)	PUNCT
ap-1277	78	34	j	j	PROPN
ap-1277	78	35	.	.	PUNCT
ap-1277	79	1	a	a	DET
ap-1277	79	2	quantitative	quantitative	ADJ
ap-1277	79	3	analysis	analysis	NOUN
ap-1277	79	4	of	of	ADP
ap-1277	79	5	these	these	DET
ap-1277	79	6	critical	critical	ADJ
ap-1277	79	7	points	point	NOUN
ap-1277	79	8	is	be	AUX
ap-1277	79	9	not	not	PART
ap-1277	79	10	difficult	difficult	ADJ
ap-1277	79	11	since	since	SCONJ
ap-1277	79	12	it	it	PRON
ap-1277	79	13	is	be	AUX
ap-1277	79	14	perceptibly	perceptibly	ADV
ap-1277	79	15	simplified	simplify	VERB
ap-1277	79	16	by	by	ADP
ap-1277	79	17	the	the	DET
ap-1277	79	18	graphical	graphical	ADJ
ap-1277	79	19	insight	insight	NOUN
ap-1277	79	20	gained	gain	VERB
ap-1277	79	21	via	via	ADP
ap-1277	79	22	figures	figure	NOUN
ap-1277	79	23	2–4	2–4	NUM
ap-1277	79	24	and	and	CCONJ
ap-1277	79	25	via	via	ADP
ap-1277	79	26	their	their	PRON
ap-1277	79	27	appropriately	appropriately	ADV
ap-1277	79	28	selected	select	VERB
ap-1277	79	29	more	more	ADV
ap-1277	79	30	complicated	complicated	ADJ
ap-1277	79	31	descendants	descendant	NOUN
ap-1277	79	32	.	.	PUNCT
ap-1277	80	1	trial	trial	NOUN
ap-1277	80	2	and	and	CCONJ
ap-1277	80	3	error	error	NOUN
ap-1277	80	4	constructions	construction	NOUN
ap-1277	80	5	enable	enable	VERB
ap-1277	80	6	us	we	PRON
ap-1277	80	7	to	to	PART
ap-1277	80	8	formulate	formulate	VERB
ap-1277	80	9	(	(	PUNCT
ap-1277	80	10	and	and	CCONJ
ap-1277	80	11	,	,	PUNCT
ap-1277	80	12	subsequently	subsequently	ADV
ap-1277	80	13	,	,	PUNCT
ap-1277	80	14	to	to	PART
ap-1277	80	15	prove	prove	VERB
ap-1277	80	16	)	)	PUNCT
ap-1277	80	17	the	the	DET
ap-1277	80	18	very	very	ADV
ap-1277	80	19	useful	useful	ADJ
ap-1277	80	20	hypothesis	hypothesis	NOUN
ap-1277	80	21	that	that	PRON
ap-1277	80	22	the	the	DET
ap-1277	80	23	transition	transition	NOUN
ap-1277	80	24	between	between	ADP
ap-1277	80	25	different	different	ADJ
ap-1277	80	26	descriptors	descriptor	NOUN
ap-1277	80	27	�	�	PROPN
ap-1277	80	28	(	(	PUNCT
ap-1277	80	29	ε	ε	PROPN
ap-1277	80	30	)	)	PUNCT
ap-1277	80	31	always	always	ADV
ap-1277	80	32	proceeds	proceed	VERB
ap-1277	80	33	via	via	ADP
ap-1277	80	34	the	the	DET
ap-1277	80	35	same	same	ADJ
ap-1277	80	36	mechanism	mechanism	NOUN
ap-1277	80	37	.	.	PUNCT
ap-1277	81	1	its	its	PRON
ap-1277	81	2	essence	essence	NOUN
ap-1277	81	3	is	be	AUX
ap-1277	81	4	characterized	characterize	VERB
ap-1277	81	5	by	by	ADP
ap-1277	81	6	the	the	DET
ap-1277	81	7	confluence	confluence	NOUN
ap-1277	81	8	and	and	CCONJ
ap-1277	81	9	“	"	PUNCT
ap-1277	81	10	flip	flip	NOUN
ap-1277	81	11	”	"	PUNCT
ap-1277	81	12	of	of	ADP
ap-1277	81	13	the	the	DET
ap-1277	81	14	curve	curve	NOUN
ap-1277	81	15	at	at	ADP
ap-1277	81	16	any	any	DET
ap-1277	81	17	j	j	NOUN
ap-1277	81	18	=	=	SYM
ap-1277	81	19	1	1	NUM
ap-1277	81	20	,	,	PUNCT
ap-1277	81	21	2	2	NUM
ap-1277	81	22	,	,	PUNCT
ap-1277	81	23	.	.	PUNCT
ap-1277	81	24	.	.	PUNCT
ap-1277	82	1	.	.	PUNCT
ap-1277	83	1	,	,	PUNCT
ap-1277	83	2	m	m	VERB
ap-1277	83	3	in	in	ADP
ap-1277	83	4	ε	ε	PROPN
ap-1277	83	5	=	=	SYM
ap-1277	83	6	ε	ε	PROPN
ap-1277	83	7	(	(	PUNCT
ap-1277	83	8	critical	critical	ADJ
ap-1277	83	9	)	)	PUNCT
ap-1277	83	10	j	j	PROPN
ap-1277	83	11	.	.	PUNCT
ap-1277	84	1	at	at	ADP
ap-1277	84	2	this	this	DET
ap-1277	84	3	point	point	NOUN
ap-1277	84	4	two	two	NUM
ap-1277	84	5	specific	specific	ADJ
ap-1277	84	6	branches	branch	NOUN
ap-1277	84	7	of	of	ADP
ap-1277	84	8	the	the	DET
ap-1277	84	9	curve	curve	NOUN
ap-1277	84	10	c(	c(	PROPN
ap-1277	84	11	�	�	PROPN
ap-1277	84	12	)(s	)(s	ADJ
ap-1277	84	13	)	)	PUNCT
ap-1277	84	14	touch	touch	NOUN
ap-1277	84	15	and	and	CCONJ
ap-1277	84	16	reconnect	reconnect	VERB
ap-1277	84	17	in	in	ADP
ap-1277	84	18	the	the	DET
ap-1277	84	19	manner	manner	NOUN
ap-1277	84	20	sampled	sample	VERB
ap-1277	84	21	by	by	ADP
ap-1277	84	22	the	the	DET
ap-1277	84	23	transition	transition	NOUN
ap-1277	84	24	from	from	ADP
ap-1277	84	25	figure	figure	NOUN
ap-1277	84	26	2	2	NUM
ap-1277	84	27	to	to	PART
ap-1277	84	28	figure	figure	VERB
ap-1277	84	29	4	4	NUM
ap-1277	84	30	.	.	PUNCT
ap-1277	85	1	the	the	DET
ap-1277	85	2	key	key	ADJ
ap-1277	85	3	characteristics	characteristic	NOUN
ap-1277	85	4	of	of	ADP
ap-1277	85	5	this	this	DET
ap-1277	85	6	flip	flip	NOUN
ap-1277	85	7	is	be	AUX
ap-1277	85	8	that	that	SCONJ
ap-1277	85	9	it	it	PRON
ap-1277	85	10	takes	take	VERB
ap-1277	85	11	place	place	NOUN
ap-1277	85	12	in	in	ADP
ap-1277	85	13	the	the	DET
ap-1277	85	14	origin	origin	NOUN
ap-1277	85	15	so	so	SCONJ
ap-1277	85	16	that	that	SCONJ
ap-1277	85	17	we	we	PRON
ap-1277	85	18	can	can	AUX
ap-1277	85	19	determine	determine	VERB
ap-1277	85	20	the	the	DET
ap-1277	85	21	point	point	NOUN
ap-1277	85	22	x	x	INTJ
ap-1277	85	23	(	(	PUNCT
ap-1277	85	24	critical	critical	ADJ
ap-1277	85	25	)	)	PUNCT
ap-1277	85	26	j	j	PROPN
ap-1277	86	1	=	=	PUNCT
ap-1277	86	2	0	0	NUM
ap-1277	86	3	which	which	PRON
ap-1277	86	4	carries	carry	VERB
ap-1277	86	5	the	the	DET
ap-1277	86	6	obvious	obvious	ADJ
ap-1277	86	7	geometric	geometric	ADJ
ap-1277	86	8	meaning	meaning	NOUN
ap-1277	86	9	mediated	mediate	VERB
ap-1277	86	10	by	by	ADP
ap-1277	86	11	the	the	DET
ap-1277	86	12	complex	complex	ADJ
ap-1277	86	13	mapping	mapping	NOUN
ap-1277	86	14	(	(	PUNCT
ap-1277	86	15	10	10	NUM
ap-1277	86	16	)	)	PUNCT
ap-1277	86	17	.	.	PUNCT
ap-1277	87	1	thus	thus	ADV
ap-1277	87	2	,	,	PUNCT
ap-1277	87	3	the	the	DET
ap-1277	87	4	vanishing	vanish	VERB
ap-1277	87	5	x	x	X
ap-1277	87	6	(	(	PUNCT
ap-1277	87	7	critical	critical	ADJ
ap-1277	87	8	)	)	PUNCT
ap-1277	87	9	j	j	PROPN
ap-1277	88	1	=	=	SYM
ap-1277	88	2	0	0	PROPN
ap-1277	88	3	is	be	AUX
ap-1277	88	4	to	to	PART
ap-1277	88	5	be	be	AUX
ap-1277	88	6	perceived	perceive	VERB
ap-1277	88	7	as	as	ADP
ap-1277	88	8	an	an	DET
ap-1277	88	9	image	image	NOUN
ap-1277	88	10	of	of	ADP
ap-1277	88	11	some	some	DET
ap-1277	88	12	doublet	doublet	NOUN
ap-1277	88	13	of	of	ADP
ap-1277	88	14	z	z	NOUN
ap-1277	88	15	=	=	SYM
ap-1277	88	16	z	z	NOUN
ap-1277	88	17	(	(	PUNCT
ap-1277	88	18	critical	critical	ADJ
ap-1277	88	19	)	)	PUNCT
ap-1277	88	20	j	j	NOUN
ap-1277	88	21	or	or	CCONJ
ap-1277	88	22	,	,	PUNCT
ap-1277	88	23	due	due	ADP
ap-1277	88	24	to	to	ADP
ap-1277	88	25	the	the	DET
ap-1277	88	26	left	left	ADJ
ap-1277	88	27	-	-	PUNCT
ap-1277	88	28	right	right	NOUN
ap-1277	88	29	symmetry	symmetry	NOUN
ap-1277	88	30	of	of	ADP
ap-1277	88	31	the	the	DET
ap-1277	88	32	picture	picture	NOUN
ap-1277	88	33	,	,	PUNCT
ap-1277	88	34	as	as	ADP
ap-1277	88	35	an	an	DET
ap-1277	88	36	image	image	NOUN
ap-1277	88	37	of	of	ADP
ap-1277	88	38	a	a	DET
ap-1277	88	39	symmetric	symmetric	ADJ
ap-1277	88	40	pair	pair	NOUN
ap-1277	88	41	of	of	ADP
ap-1277	88	42	the	the	DET
ap-1277	88	43	pseudocoordinates	pseudocoordinate	NOUN
ap-1277	88	44	s	s	PART
ap-1277	88	45	(	(	PUNCT
ap-1277	88	46	critical	critical	ADJ
ap-1277	88	47	)	)	PUNCT
ap-1277	88	48	j	j	PROPN
ap-1277	88	49	=	=	SYM
ap-1277	88	50	±	±	PROPN
ap-1277	88	51	∣∣∣s(critical	∣∣∣s(critical	PROPN
ap-1277	88	52	)	)	PUNCT
ap-1277	88	53	j	j	PROPN
ap-1277	88	54	∣∣∣.	∣∣∣.	PROPN
ap-1277	88	55	at	at	ADP
ap-1277	88	56	any	any	DET
ap-1277	88	57	κ	κ	NOUN
ap-1277	88	58	=	=	PROPN
ap-1277	88	59	2m+1	2m+1	PROPN
ap-1277	88	60	the	the	DET
ap-1277	88	61	latter	latter	ADJ
ap-1277	88	62	observations	observation	NOUN
ap-1277	88	63	reduce	reduce	VERB
ap-1277	88	64	eq	eq	ADP
ap-1277	88	65	.	.	PUNCT
ap-1277	89	1	(	(	PUNCT
ap-1277	89	2	6	6	NUM
ap-1277	89	3	)	)	PUNCT
ap-1277	89	4	to	to	ADP
ap-1277	89	5	the	the	DET
ap-1277	89	6	elementary	elementary	ADJ
ap-1277	89	7	relation	relation	PROPN
ap-1277	89	8	1	1	NUM
ap-1277	89	9	=	=	SYM
ap-1277	89	10	{	{	PUNCT
ap-1277	90	1	1	1	NUM
ap-1277	90	2	+	+	CCONJ
ap-1277	91	1	[	[	X
ap-1277	91	2	i(s	i(s	NOUN
ap-1277	91	3	−	−	NOUN
ap-1277	91	4	i	i	PRON
ap-1277	91	5	ε)]2	ε)]2	VERB
ap-1277	91	6	}	}	PUNCT
ap-1277	91	7	κ	κ	X
ap-1277	91	8	(	(	PUNCT
ap-1277	91	9	11	11	NUM
ap-1277	91	10	)	)	PUNCT
ap-1277	91	11	which	which	PRON
ap-1277	91	12	may	may	AUX
ap-1277	91	13	be	be	AUX
ap-1277	91	14	analyzed	analyze	VERB
ap-1277	91	15	in	in	ADP
ap-1277	91	16	the	the	DET
ap-1277	91	17	equivalent	equivalent	ADJ
ap-1277	91	18	form	form	NOUN
ap-1277	91	19	of	of	ADP
ap-1277	91	20	the	the	DET
ap-1277	91	21	following	follow	VERB
ap-1277	91	22	2	2	NUM
ap-1277	91	23	m	m	NOUN
ap-1277	91	24	+	+	NOUN
ap-1277	91	25	1	1	NUM
ap-1277	91	26	independent	independent	ADJ
ap-1277	91	27	relations	relation	NOUN
ap-1277	91	28	e2πim/(2m+1	e2πim/(2m+1	PROPN
ap-1277	91	29	)	)	PUNCT
ap-1277	91	30	=	=	PUNCT
ap-1277	92	1	1+(is+ε)2	1+(is+ε)2	NUM
ap-1277	92	2	=	=	SYM
ap-1277	92	3	1+ε2−s2	1+ε2−s2	NUM
ap-1277	92	4	+	+	SYM
ap-1277	92	5	2	2	NUM
ap-1277	92	6	is	be	AUX
ap-1277	92	7	ε	ε	PROPN
ap-1277	92	8	.	.	PUNCT
ap-1277	93	1	(	(	PUNCT
ap-1277	93	2	12	12	NUM
ap-1277	93	3	)	)	PUNCT
ap-1277	93	4	these	these	DET
ap-1277	93	5	relations	relation	NOUN
ap-1277	93	6	numbered	number	VERB
ap-1277	93	7	by	by	ADP
ap-1277	93	8	m	m	PROPN
ap-1277	93	9	=	=	SYM
ap-1277	93	10	0	0	NUM
ap-1277	93	11	,	,	PUNCT
ap-1277	93	12	±1	±1	VERB
ap-1277	93	13	,	,	PUNCT
ap-1277	93	14	.	.	PUNCT
ap-1277	93	15	.	.	PUNCT
ap-1277	94	1	.	.	PUNCT
ap-1277	95	1	,	,	PUNCT
ap-1277	95	2	m	m	PRON
ap-1277	95	3	may	may	AUX
ap-1277	95	4	further	far	ADV
ap-1277	95	5	be	be	AUX
ap-1277	95	6	simplified	simplify	VERB
ap-1277	95	7	via	via	ADP
ap-1277	95	8	the	the	DET
ap-1277	95	9	two	two	NUM
ap-1277	95	10	known	know	VERB
ap-1277	95	11	elementary	elementary	ADJ
ap-1277	95	12	trigonometric	trigonometric	ADJ
ap-1277	95	13	real	real	ADJ
ap-1277	95	14	and	and	CCONJ
ap-1277	95	15	non	non	ADJ
ap-1277	95	16	-	-	ADJ
ap-1277	95	17	negative	negative	ADJ
ap-1277	95	18	constants	constant	NOUN
ap-1277	95	19	a	a	PRON
ap-1277	95	20	and	and	CCONJ
ap-1277	95	21	b	b	NOUN
ap-1277	95	22	such	such	ADJ
ap-1277	95	23	that	that	SCONJ
ap-1277	95	24	[	[	PUNCT
ap-1277	95	25	1−	1−	NUM
ap-1277	95	26	e2πim/(2m+1	e2πim/(2m+1	PROPN
ap-1277	95	27	)	)	PUNCT
ap-1277	95	28	]	]	PUNCT
ap-1277	96	1	=	=	PUNCT
ap-1277	96	2	a	a	DET
ap-1277	96	3	±	±	NUM
ap-1277	96	4	ib	ib	NOUN
ap-1277	96	5	.	.	PUNCT
ap-1277	97	1	in	in	ADP
ap-1277	97	2	terms	term	NOUN
ap-1277	97	3	of	of	ADP
ap-1277	97	4	these	these	DET
ap-1277	97	5	constants	constant	NOUN
ap-1277	97	6	we	we	PRON
ap-1277	97	7	separate	separate	VERB
ap-1277	97	8	eq	eq	ADP
ap-1277	97	9	.	.	PUNCT
ap-1277	98	1	(	(	PUNCT
ap-1277	98	2	12	12	NUM
ap-1277	98	3	)	)	PUNCT
ap-1277	98	4	into	into	ADP
ap-1277	98	5	it	it	PRON
ap-1277	99	1	real	real	ADJ
ap-1277	99	2	and	and	CCONJ
ap-1277	99	3	imaginary	imaginary	ADJ
ap-1277	99	4	parts	part	NOUN
ap-1277	99	5	yielding	yield	VERB
ap-1277	99	6	the	the	DET
ap-1277	99	7	pair	pair	NOUN
ap-1277	99	8	of	of	ADP
ap-1277	99	9	relations	relation	NOUN
ap-1277	99	10	s2	s2	NOUN
ap-1277	99	11	−	−	PUNCT
ap-1277	99	12	ε2	ε2	ADV
ap-1277	99	13	−	−	PROPN
ap-1277	99	14	a	a	DET
ap-1277	99	15	=	=	NOUN
ap-1277	99	16	0	0	NUM
ap-1277	99	17	,	,	PUNCT
ap-1277	99	18	2	2	NUM
ap-1277	99	19	s	s	NOUN
ap-1277	99	20	ε	ε	NOUN
ap-1277	99	21	=	=	SYM
ap-1277	99	22	b	b	PROPN
ap-1277	99	23	.	.	PUNCT
ap-1277	100	1	(	(	PUNCT
ap-1277	100	2	13	13	NUM
ap-1277	100	3	)	)	PUNCT
ap-1277	100	4	as	as	ADV
ap-1277	100	5	long	long	ADV
ap-1277	100	6	as	as	ADP
ap-1277	100	7	ε	ε	PROPN
ap-1277	100	8	>	>	X
ap-1277	100	9	0	0	NUM
ap-1277	101	1	we	we	PRON
ap-1277	101	2	may	may	AUX
ap-1277	101	3	restrict	restrict	VERB
ap-1277	101	4	our	our	PRON
ap-1277	101	5	attention	attention	NOUN
ap-1277	101	6	to	to	ADP
ap-1277	101	7	nonnegative	nonnegative	VERB
ap-1277	101	8	s	s	NOUN
ap-1277	101	9	and	and	CCONJ
ap-1277	101	10	eliminate	eliminate	VERB
ap-1277	101	11	s	s	PART
ap-1277	101	12	=	=	NOUN
ap-1277	101	13	b/(2	b/(2	NOUN
ap-1277	101	14	ε	ε	PROPN
ap-1277	101	15	)	)	PUNCT
ap-1277	101	16	.	.	PUNCT
ap-1277	102	1	the	the	DET
ap-1277	102	2	remaining	remain	VERB
ap-1277	102	3	quadratic	quadratic	ADJ
ap-1277	102	4	equation	equation	NOUN
ap-1277	102	5	b2/(2	b2/(2	VERB
ap-1277	102	6	ε)2	ε)2	PROPN
ap-1277	102	7	−	−	PROPN
ap-1277	102	8	ε2	ε2	ADJ
ap-1277	102	9	−	−	PROPN
ap-1277	102	10	a	a	DET
ap-1277	102	11	=	=	SYM
ap-1277	102	12	0	0	NUM
ap-1277	103	1	finally	finally	ADV
ap-1277	103	2	leads	lead	VERB
ap-1277	103	3	to	to	ADP
ap-1277	103	4	the	the	DET
ap-1277	103	5	following	follow	VERB
ap-1277	103	6	unique	unique	ADJ
ap-1277	103	7	solution	solution	NOUN
ap-1277	103	8	of	of	ADP
ap-1277	103	9	the	the	DET
ap-1277	103	10	problem	problem	NOUN
ap-1277	103	11	,	,	PUNCT
ap-1277	103	12	ε	ε	PROPN
ap-1277	103	13	=	=	SYM
ap-1277	103	14	1√	1√	PROPN
ap-1277	103	15	2	2	NUM
ap-1277	103	16	√	√	NUM
ap-1277	103	17	−a+	−a+	X
ap-1277	103	18	√	√	PROPN
ap-1277	103	19	a2	a2	PROPN
ap-1277	103	20	+	+	NOUN
ap-1277	103	21	b2	b2	NOUN
ap-1277	103	22	.	.	PUNCT
ap-1277	104	1	(	(	PUNCT
ap-1277	104	2	14	14	NUM
ap-1277	104	3	)	)	PUNCT
ap-1277	104	4	this	this	DET
ap-1277	104	5	formula	formula	NOUN
ap-1277	104	6	perfectly	perfectly	ADV
ap-1277	104	7	confirms	confirm	VERB
ap-1277	104	8	the	the	DET
ap-1277	104	9	validity	validity	NOUN
ap-1277	104	10	and	and	CCONJ
ap-1277	104	11	precision	precision	NOUN
ap-1277	104	12	of	of	ADP
ap-1277	104	13	our	our	PRON
ap-1277	104	14	illustrative	illustrative	ADJ
ap-1277	104	15	graphical	graphical	ADJ
ap-1277	104	16	constructions	construction	NOUN
ap-1277	104	17	.	.	PUNCT
ap-1277	105	1	4	4	NUM
ap-1277	105	2	samples	sample	NOUN
ap-1277	105	3	of	of	ADP
ap-1277	105	4	countours	countour	NOUN
ap-1277	105	5	of	of	ADP
ap-1277	105	6	complex	complex	ADJ
ap-1277	105	7	coordinates	coordinate	NOUN
ap-1277	105	8	for	for	ADP
ap-1277	105	9	the	the	DET
ap-1277	105	10	most	most	ADV
ap-1277	105	11	elementary	elementary	ADJ
ap-1277	105	12	toboggans	toboggan	NOUN
ap-1277	105	13	characterized	characterize	VERB
ap-1277	105	14	by	by	ADP
ap-1277	105	15	the	the	DET
ap-1277	105	16	single	single	ADJ
ap-1277	105	17	branching	branching	NOUN
ap-1277	105	18	point	point	NOUN
ap-1277	105	19	the	the	DET
ap-1277	105	20	winding	wind	VERB
ap-1277	105	21	descriptor	descriptor	NOUN
ap-1277	105	22	�	�	PROPN
ap-1277	105	23	becomes	become	VERB
ap-1277	105	24	trivial	trivial	ADJ
ap-1277	105	25	because	because	SCONJ
ap-1277	105	26	it	it	PRON
ap-1277	105	27	is	be	AUX
ap-1277	105	28	being	be	AUX
ap-1277	105	29	formed	form	VERB
ap-1277	105	30	by	by	ADP
ap-1277	105	31	the	the	DET
ap-1277	105	32	words	word	NOUN
ap-1277	105	33	in	in	ADP
ap-1277	105	34	a	a	DET
ap-1277	105	35	one	one	NUM
ap-1277	105	36	-	-	PUNCT
ap-1277	105	37	letter	letter	NOUN
ap-1277	105	38	alphabet	alphabet	NOUN
ap-1277	105	39	.	.	PUNCT
ap-1277	106	1	this	this	PRON
ap-1277	106	2	means	mean	VERB
ap-1277	106	3	that	that	SCONJ
ap-1277	106	4	all	all	DET
ap-1277	106	5	the	the	DET
ap-1277	106	6	information	information	NOUN
ap-1277	106	7	about	about	ADP
ap-1277	106	8	windings	winding	NOUN
ap-1277	106	9	degenerates	degenerate	NOUN
ap-1277	106	10	just	just	ADV
ap-1277	106	11	to	to	ADP
ap-1277	106	12	the	the	DET
ap-1277	106	13	length	length	NOUN
ap-1277	106	14	of	of	ADP
ap-1277	106	15	the	the	DET
ap-1277	106	16	word	word	NOUN
ap-1277	106	17	�	�	PROPN
ap-1277	106	18	represented	represent	VERB
ap-1277	106	19	by	by	ADP
ap-1277	106	20	an	an	DET
ap-1277	106	21	(	(	PUNCT
ap-1277	106	22	arbitrary	arbitrary	ADJ
ap-1277	106	23	)	)	PUNCT
ap-1277	106	24	integer	integer	NOUN
ap-1277	106	25	[	[	X
ap-1277	106	26	14	14	NUM
ap-1277	106	27	]	]	PUNCT
ap-1277	106	28	.	.	PUNCT
ap-1277	107	1	obviously	obviously	ADV
ap-1277	107	2	,	,	PUNCT
ap-1277	107	3	these	these	DET
ap-1277	107	4	models	model	NOUN
ap-1277	107	5	would	would	AUX
ap-1277	107	6	be	be	AUX
ap-1277	107	7	too	too	ADV
ap-1277	107	8	trivial	trivial	ADJ
ap-1277	107	9	from	from	ADP
ap-1277	107	10	our	our	PRON
ap-1277	107	11	present	present	ADJ
ap-1277	107	12	point	point	NOUN
ap-1277	107	13	of	of	ADP
ap-1277	107	14	view	view	NOUN
ap-1277	107	15	.	.	PUNCT
ap-1277	108	1	in	in	ADP
ap-1277	108	2	an	an	DET
ap-1277	108	3	opposite	opposite	ADJ
ap-1277	108	4	direction	direction	NOUN
ap-1277	108	5	one	one	PRON
ap-1277	108	6	could	could	AUX
ap-1277	108	7	also	also	ADV
ap-1277	108	8	contemplate	contemplate	VERB
ap-1277	108	9	tobogganic	tobogganic	ADJ
ap-1277	108	10	models	model	NOUN
ap-1277	108	11	where	where	SCONJ
ap-1277	108	12	a	a	DET
ap-1277	108	13	larger	large	ADJ
ap-1277	108	14	number	number	NOUN
ap-1277	108	15	of	of	ADP
ap-1277	108	16	branch	branch	NOUN
ap-1277	108	17	points	point	NOUN
ap-1277	108	18	would	would	AUX
ap-1277	108	19	have	have	VERB
ap-1277	108	20	to	to	PART
ap-1277	108	21	be	be	AUX
ap-1277	108	22	taken	take	VERB
ap-1277	108	23	into	into	ADP
ap-1277	108	24	account	account	NOUN
ap-1277	108	25	.	.	PUNCT
ap-1277	109	1	an	an	DET
ap-1277	109	2	interesting	interesting	ADJ
ap-1277	109	3	series	series	NOUN
ap-1277	109	4	of	of	ADP
ap-1277	109	5	exactly	exactly	ADV
ap-1277	109	6	solvable	solvable	ADJ
ap-1277	109	7	models	model	NOUN
ap-1277	109	8	of	of	ADP
ap-1277	109	9	this	this	DET
ap-1277	109	10	form	form	NOUN
ap-1277	109	11	may	may	AUX
ap-1277	109	12	be	be	AUX
ap-1277	109	13	found	find	VERB
ap-1277	109	14	,	,	PUNCT
ap-1277	109	15	e.g.	e.g.	ADV
ap-1277	109	16	,	,	PUNCT
ap-1277	109	17	in	in	ADP
ap-1277	109	18	ref	ref	NOUN
ap-1277	109	19	.	.	PUNCT
ap-1277	110	1	[	[	X
ap-1277	110	2	15	15	NUM
ap-1277	110	3	]	]	PUNCT
ap-1277	110	4	.	.	PUNCT
ap-1277	111	1	naturally	naturally	ADV
ap-1277	111	2	,	,	PUNCT
ap-1277	111	3	the	the	DET
ap-1277	111	4	study	study	NOUN
ap-1277	111	5	of	of	ADP
ap-1277	111	6	all	all	PRON
ap-1277	111	7	of	of	ADP
ap-1277	111	8	these	these	DET
ap-1277	111	9	far	far	ADV
ap-1277	111	10	reaching	reach	VERB
ap-1277	111	11	generalizations	generalization	NOUN
ap-1277	111	12	would	would	AUX
ap-1277	111	13	still	still	ADV
ap-1277	111	14	proceed	proceed	VERB
ap-1277	111	15	along	along	ADP
ap-1277	111	16	the	the	DET
ap-1277	111	17	lines	line	NOUN
ap-1277	111	18	which	which	PRON
ap-1277	111	19	are	be	AUX
ap-1277	111	20	tested	test	VERB
ap-1277	111	21	here	here	ADV
ap-1277	111	22	on	on	ADP
ap-1277	111	23	the	the	DET
ap-1277	111	24	first	first	ADJ
ap-1277	111	25	nontrivial	nontrivial	ADJ
ap-1277	111	26	family	family	NOUN
ap-1277	111	27	characterized	characterize	VERB
ap-1277	111	28	by	by	ADP
ap-1277	111	29	the	the	DET
ap-1277	111	30	presence	presence	NOUN
ap-1277	111	31	of	of	ADP
ap-1277	111	32	the	the	DET
ap-1277	111	33	mere	mere	ADJ
ap-1277	111	34	two	two	NUM
ap-1277	111	35	branch	branch	NOUN
ap-1277	111	36	points	point	NOUN
ap-1277	111	37	in	in	ADP
ap-1277	111	38	ψ(x	ψ(x	NOUN
ap-1277	111	39	)	)	PUNCT
ap-1277	111	40	.	.	PUNCT
ap-1277	112	1	from	from	ADP
ap-1277	112	2	the	the	DET
ap-1277	112	3	pedagogical	pedagogical	ADJ
ap-1277	112	4	point	point	NOUN
ap-1277	112	5	of	of	ADP
ap-1277	112	6	view	view	NOUN
ap-1277	112	7	the	the	DET
ap-1277	112	8	merits	merit	NOUN
ap-1277	112	9	of	of	ADP
ap-1277	112	10	the	the	DET
ap-1277	112	11	two	two	NUM
ap-1277	112	12	-	-	PUNCT
ap-1277	112	13	branch	branch	NOUN
ap-1277	112	14	-	-	PUNCT
ap-1277	112	15	point	point	NOUN
ap-1277	112	16	scenario	scenario	NOUN
ap-1277	112	17	comprise	comprise	VERB
ap-1277	112	18	not	not	PART
ap-1277	112	19	only	only	ADV
ap-1277	112	20	the	the	DET
ap-1277	112	21	simplicity	simplicity	NOUN
ap-1277	112	22	of	of	ADP
ap-1277	112	23	the	the	DET
ap-1277	112	24	formulae	formulae	NOUN
ap-1277	112	25	(	(	PUNCT
ap-1277	112	26	cf	cf	NOUN
ap-1277	112	27	.	.	NOUN
ap-1277	112	28	,	,	PUNCT
ap-1277	112	29	e.g.	e.g.	ADV
ap-1277	112	30	,	,	PUNCT
ap-1277	112	31	eq	eq	NOUN
ap-1277	112	32	.	.	PUNCT
ap-1277	113	1	(	(	PUNCT
ap-1277	113	2	10	10	NUM
ap-1277	113	3	)	)	PUNCT
ap-1277	113	4	in	in	ADP
ap-1277	113	5	the	the	DET
ap-1277	113	6	preceding	precede	VERB
ap-1277	113	7	section	section	NOUN
ap-1277	113	8	)	)	PUNCT
ap-1277	113	9	but	but	CCONJ
ap-1277	113	10	also	also	ADV
ap-1277	113	11	the	the	DET
ap-1277	113	12	feasibility	feasibility	NOUN
ap-1277	113	13	and	and	CCONJ
ap-1277	113	14	transparency	transparency	NOUN
ap-1277	113	15	of	of	ADP
ap-1277	113	16	the	the	DET
ap-1277	113	17	graphical	graphical	ADJ
ap-1277	113	18	presentation	presentation	NOUN
ap-1277	113	19	of	of	ADP
ap-1277	113	20	the	the	DET
ap-1277	113	21	integration	integration	NOUN
ap-1277	113	22	contours	contour	VERB
ap-1277	113	23	c	c	PROPN
ap-1277	113	24	(	(	PUNCT
ap-1277	113	25	�	�	PROPN
ap-1277	113	26	)	)	PUNCT
ap-1277	113	27	of	of	ADP
ap-1277	113	28	the	the	DET
ap-1277	113	29	tobogganic	tobogganic	ADJ
ap-1277	113	30	schrödinger	schrödinger	NOUN
ap-1277	113	31	equations	equation	NOUN
ap-1277	113	32	.	.	PUNCT
ap-1277	114	1	this	this	DET
ap-1277	114	2	assertion	assertion	NOUN
ap-1277	114	3	may	may	AUX
ap-1277	114	4	easily	easily	ADV
ap-1277	114	5	be	be	AUX
ap-1277	114	6	supported	support	VERB
ap-1277	114	7	by	by	ADP
ap-1277	114	8	a	a	DET
ap-1277	114	9	few	few	ADJ
ap-1277	114	10	explicit	explicit	ADJ
ap-1277	114	11	illustrative	illustrative	ADJ
ap-1277	114	12	pictures	picture	NOUN
ap-1277	114	13	.	.	PUNCT
ap-1277	115	1	4.1	4.1	NUM
ap-1277	115	2	rectifiable	rectifiable	ADJ
ap-1277	115	3	tobogganic	tobogganic	ADJ
ap-1277	115	4	contours	contours	NOUN
ap-1277	115	5	with	with	ADP
ap-1277	115	6	κ	κ	X
ap-1277	115	7	=	=	SYM
ap-1277	115	8	3	3	NUM
ap-1277	115	9	the	the	DET
ap-1277	115	10	change	change	NOUN
ap-1277	115	11	of	of	ADP
ap-1277	115	12	variables	variable	NOUN
ap-1277	115	13	(	(	PUNCT
ap-1277	115	14	10	10	NUM
ap-1277	115	15	)	)	PUNCT
ap-1277	115	16	generating	generate	VERB
ap-1277	115	17	the	the	DET
ap-1277	115	18	rectifiable	rectifiable	ADJ
ap-1277	115	19	tobogganic	tobogganic	ADJ
ap-1277	115	20	schrödinger	schrödinger	NOUN
ap-1277	115	21	equations	equation	NOUN
ap-1277	115	22	must	must	AUX
ap-1277	115	23	be	be	AUX
ap-1277	115	24	implemented	implement	VERB
ap-1277	115	25	with	with	ADP
ap-1277	115	26	due	due	ADJ
ap-1277	115	27	care	care	NOUN
ap-1277	115	28	because	because	SCONJ
ap-1277	115	29	the	the	DET
ap-1277	115	30	knot	knot	NOUN
ap-1277	115	31	-	-	PUNCT
ap-1277	115	32	shaped	shape	VERB
ap-1277	115	33	curves	curve	NOUN
ap-1277	115	34	c(	c(	ADJ
ap-1277	115	35	�	�	NOUN
ap-1277	115	36	)(s	)(s	ADJ
ap-1277	115	37	)	)	PUNCT
ap-1277	115	38	may	may	AUX
ap-1277	115	39	happen	happen	VERB
ap-1277	115	40	to	to	PART
ap-1277	115	41	run	run	VERB
ap-1277	115	42	quite	quite	ADV
ap-1277	115	43	close	close	ADJ
ap-1277	115	44	to	to	ADP
ap-1277	115	45	the	the	DET
ap-1277	115	46	points	point	NOUN
ap-1277	115	47	of	of	ADP
ap-1277	115	48	singularities	singularity	NOUN
ap-1277	115	49	at	at	ADP
ap-1277	115	50	certain	certain	ADJ
ap-1277	115	51	values	value	NOUN
ap-1277	115	52	of	of	ADP
ap-1277	115	53	s.	s.	PROPN
ap-1277	115	54	this	this	PRON
ap-1277	115	55	is	be	AUX
ap-1277	115	56	well	well	ADV
ap-1277	115	57	illustrated	illustrate	VERB
ap-1277	115	58	by	by	ADP
ap-1277	115	59	figure	figure	NOUN
ap-1277	115	60	1	1	NUM
ap-1277	115	61	or	or	CCONJ
ap-1277	115	62	,	,	PUNCT
ap-1277	115	63	even	even	ADV
ap-1277	115	64	better	well	ADV
ap-1277	115	65	,	,	PUNCT
ap-1277	115	66	by	by	ADP
ap-1277	115	67	figure	figure	NOUN
ap-1277	115	68	6	6	NUM
ap-1277	115	69	.	.	PUNCT
ap-1277	116	1	at	at	ADP
ap-1277	116	2	the	the	DET
ap-1277	116	3	same	same	ADJ
ap-1277	116	4	time	time	NOUN
ap-1277	116	5	all	all	DET
ap-1277	116	6	our	our	PRON
ap-1277	116	7	figures	figure	NOUN
ap-1277	116	8	clearly	clearly	ADV
ap-1277	116	9	show	show	VERB
ap-1277	116	10	that	that	SCONJ
ap-1277	116	11	one	one	PRON
ap-1277	116	12	can	can	AUX
ap-1277	116	13	control	control	VERB
ap-1277	116	14	the	the	DET
ap-1277	116	15	proximity	proximity	NOUN
ap-1277	116	16	to	to	ADP
ap-1277	116	17	the	the	DET
ap-1277	116	18	singularities	singularity	NOUN
ap-1277	116	19	by	by	ADP
ap-1277	116	20	means	mean	NOUN
ap-1277	116	21	of	of	ADP
ap-1277	116	22	the	the	DET
ap-1277	116	23	choice	choice	NOUN
ap-1277	116	24	of	of	ADP
ap-1277	116	25	the	the	DET
ap-1277	116	26	shift	shift	NOUN
ap-1277	116	27	ε	ε	PROPN
ap-1277	116	28	of	of	ADP
ap-1277	116	29	the	the	DET
ap-1277	116	30	(	(	PUNCT
ap-1277	116	31	conventionally	conventionally	ADV
ap-1277	116	32	chosen	choose	VERB
ap-1277	116	33	)	)	PUNCT
ap-1277	116	34	straight	straight	ADJ
ap-1277	116	35	line	line	NOUN
ap-1277	116	36	of	of	ADP
ap-1277	116	37	the	the	DET
ap-1277	116	38	auxiliary	auxiliary	ADJ
ap-1277	116	39	variable	variable	NOUN
ap-1277	116	40	z	z	PROPN
ap-1277	116	41	∈	∈	PROPN
ap-1277	116	42	c(0	c(0	PROPN
ap-1277	116	43	)	)	PUNCT
ap-1277	116	44	given	give	VERB
ap-1277	116	45	by	by	ADP
ap-1277	116	46	eq	eq	PROPN
ap-1277	116	47	.	.	PUNCT
ap-1277	117	1	(	(	PUNCT
ap-1277	117	2	6	6	NUM
ap-1277	117	3	)	)	PUNCT
ap-1277	117	4	.	.	PUNCT
ap-1277	118	1	once	once	SCONJ
ap-1277	118	2	we	we	PRON
ap-1277	118	3	fix	fix	VERB
ap-1277	118	4	the	the	DET
ap-1277	118	5	distance	distance	NOUN
ap-1277	118	6	ε	ε	PROPN
ap-1277	118	7	of	of	ADP
ap-1277	118	8	the	the	DET
ap-1277	118	9	complex	complex	ADJ
ap-1277	118	10	line	line	NOUN
ap-1277	118	11	c(0	c(0	NOUN
ap-1277	118	12	)	)	PUNCT
ap-1277	118	13	from	from	ADP
ap-1277	118	14	the	the	DET
ap-1277	118	15	real	real	ADJ
ap-1277	118	16	line	line	NOUN
ap-1277	118	17	r	r	NOUN
ap-1277	118	18	we	we	PRON
ap-1277	118	19	may	may	AUX
ap-1277	118	20	still	still	ADV
ap-1277	118	21	vary	vary	VERB
ap-1277	118	22	the	the	DET
ap-1277	118	23	odd	odd	ADJ
ap-1277	118	24	integers	integer	NOUN
ap-1277	118	25	κ	κ	VERB
ap-1277	118	26	.	.	PUNCT
ap-1277	118	27	vice	vice	PROPN
ap-1277	118	28	versa	versa	ADV
ap-1277	118	29	,	,	PUNCT
ap-1277	118	30	even	even	ADV
ap-1277	118	31	at	at	ADP
ap-1277	118	32	the	the	DET
ap-1277	118	33	smallest	small	ADJ
ap-1277	118	34	κ	κ	NOUN
ap-1277	118	35	=	=	SYM
ap-1277	118	36	3	3	NUM
ap-1277	118	37	the	the	DET
ap-1277	118	38	recipe	recipe	NOUN
ap-1277	118	39	enables	enable	VERB
ap-1277	118	40	us	we	PRON
ap-1277	118	41	to	to	PART
ap-1277	118	42	generate	generate	VERB
ap-1277	118	43	certain	certain	ADJ
ap-1277	118	44	mutually	mutually	ADJ
ap-1277	118	45	non	non	ADJ
ap-1277	118	46	-	-	ADJ
ap-1277	118	47	equivalent	equivalent	ADJ
ap-1277	118	48	tobogganic	tobogganic	ADJ
ap-1277	118	49	contours	contours	NOUN
ap-1277	118	50	c(	c(	PROPN
ap-1277	118	51	�	�	PROPN
ap-1277	118	52	)(s	)(s	ADJ
ap-1277	118	53	)	)	PUNCT
ap-1277	118	54	in	in	ADP
ap-1277	118	55	the	the	DET
ap-1277	118	56	ε−dependent	ε−dependent	NOUN
ap-1277	118	57	manner	manner	NOUN
ap-1277	118	58	.	.	PUNCT
ap-1277	119	1	this	this	PRON
ap-1277	119	2	confirms	confirm	VERB
ap-1277	119	3	the	the	DET
ap-1277	119	4	existence	existence	NOUN
ap-1277	119	5	of	of	ADP
ap-1277	119	6	discontinuities	discontinuity	NOUN
ap-1277	119	7	.	.	PUNCT
ap-1277	120	1	their	their	PRON
ap-1277	120	2	emergence	emergence	NOUN
ap-1277	120	3	and	and	CCONJ
ap-1277	120	4	form	form	NOUN
ap-1277	120	5	are	be	AUX
ap-1277	120	6	best	well	ADV
ap-1277	120	7	illustrated	illustrate	VERB
ap-1277	120	8	by	by	ADP
ap-1277	120	9	the	the	DET
ap-1277	120	10	pair	pair	NOUN
ap-1277	120	11	of	of	ADP
ap-1277	120	12	figures	figure	NOUN
ap-1277	120	13	3	3	NUM
ap-1277	120	14	and	and	CCONJ
ap-1277	120	15	4	4	NUM
ap-1277	120	16	.	.	X
ap-1277	120	17	87	87	NUM
ap-1277	120	18	acta	acta	PROPN
ap-1277	120	19	polytechnica	polytechnica	PROPN
ap-1277	120	20	vol	vol	NOUN
ap-1277	120	21	.	.	PROPN
ap-1277	121	1	50	50	NUM
ap-1277	121	2	no	no	NOUN
ap-1277	121	3	.	.	PUNCT
ap-1277	122	1	5/2010	5/2010	NUM
ap-1277	122	2	re	re	NOUN
ap-1277	122	3	x	x	PROPN
ap-1277	122	4	i	i	PRON
ap-1277	122	5	m	m	VERB
ap-1277	122	6	x	x	INTJ
ap-1277	122	7	–	–	PUNCT
ap-1277	122	8	1	1	NUM
ap-1277	122	9	–	–	SYM
ap-1277	122	10	0.5	0.5	NUM
ap-1277	122	11	0.5	0.5	NUM
ap-1277	122	12	fig	fig	NOUN
ap-1277	122	13	.	.	PUNCT
ap-1277	123	1	6	6	NUM
ap-1277	123	2	:	:	PUNCT
ap-1277	123	3	the	the	DET
ap-1277	123	4	quadruple	quadruple	NOUN
ap-1277	123	5	-	-	PUNCT
ap-1277	123	6	circle	circle	NOUN
ap-1277	123	7	tobogganic	tobogganic	ADJ
ap-1277	123	8	curve	curve	NOUN
ap-1277	123	9	of	of	ADP
ap-1277	123	10	x	x	PROPN
ap-1277	123	11	∈	∈	PROPN
ap-1277	123	12	c(llrr)(s	c(llrr)(s	PROPN
ap-1277	123	13	)	)	PUNCT
ap-1277	123	14	.	.	PUNCT
ap-1277	124	1	with	with	ADP
ap-1277	124	2	winding	wind	VERB
ap-1277	124	3	parameter	parameter	NOUN
ap-1277	124	4	κ	κ	NOUN
ap-1277	124	5	=	=	SYM
ap-1277	124	6	5	5	NUM
ap-1277	124	7	in	in	ADP
ap-1277	124	8	eq	eq	ADP
ap-1277	124	9	.	.	PUNCT
ap-1277	125	1	(	(	PUNCT
ap-1277	125	2	10	10	NUM
ap-1277	125	3	)	)	PUNCT
ap-1277	125	4	this	this	DET
ap-1277	125	5	sample	sample	NOUN
ap-1277	125	6	is	be	AUX
ap-1277	125	7	obtained	obtain	VERB
ap-1277	125	8	at	at	ADP
ap-1277	125	9	ε	ε	PROPN
ap-1277	125	10	=	=	SYM
ap-1277	125	11	ε	ε	PROPN
ap-1277	125	12	(	(	PUNCT
ap-1277	125	13	critical	critical	ADJ
ap-1277	125	14	)	)	PUNCT
ap-1277	125	15	1	1	NUM
ap-1277	125	16	−	−	NOUN
ap-1277	125	17	0.0005	0.0005	NUM
ap-1277	125	18	,	,	PUNCT
ap-1277	125	19	i.e.	i.e.	X
ap-1277	125	20	,	,	PUNCT
ap-1277	125	21	just	just	ADV
ap-1277	125	22	slightly	slightly	ADV
ap-1277	125	23	below	below	ADP
ap-1277	125	24	the	the	DET
ap-1277	125	25	first	first	ADJ
ap-1277	125	26	critical	critical	ADJ
ap-1277	125	27	value	value	NOUN
ap-1277	125	28	of	of	ADP
ap-1277	125	29	ε	ε	PROPN
ap-1277	125	30	(	(	PUNCT
ap-1277	125	31	critical	critical	ADJ
ap-1277	125	32	)	)	PUNCT
ap-1277	125	33	1	1	NUM
ap-1277	125	34	∼	∼	NOUN
ap-1277	125	35	0.215	0.215	NUM
ap-1277	125	36	749	749	NUM
ap-1277	125	37	90	90	NUM
ap-1277	125	38	re	re	ADP
ap-1277	125	39	x	x	PROPN
ap-1277	125	40	i	i	VERB
ap-1277	125	41	m	m	VERB
ap-1277	125	42	x	x	INTJ
ap-1277	125	43	–	–	PUNCT
ap-1277	125	44	1	1	NUM
ap-1277	125	45	–	–	SYM
ap-1277	125	46	0.5	0.5	NUM
ap-1277	125	47	0.5	0.5	NUM
ap-1277	125	48	fig	fig	NOUN
ap-1277	125	49	.	.	PUNCT
ap-1277	126	1	7	7	NUM
ap-1277	126	2	:	:	PUNCT
ap-1277	126	3	the	the	DET
ap-1277	126	4	topologically	topologically	ADV
ap-1277	126	5	different	different	ADJ
ap-1277	126	6	,	,	PUNCT
ap-1277	126	7	triple	triple	ADJ
ap-1277	126	8	-	-	PUNCT
ap-1277	126	9	circle	circle	NOUN
ap-1277	126	10	curve	curve	NOUN
ap-1277	126	11	c(rrll)(s	c(rrll)(s	PROPN
ap-1277	126	12	)	)	PUNCT
ap-1277	126	13	obtained	obtain	VERB
ap-1277	126	14	at	at	ADP
ap-1277	126	15	κ	κ	NOUN
ap-1277	126	16	=	=	SYM
ap-1277	126	17	5	5	NUM
ap-1277	126	18	and	and	CCONJ
ap-1277	126	19	ε	ε	PROPN
ap-1277	126	20	=	=	SYM
ap-1277	126	21	ε	ε	PROPN
ap-1277	126	22	(	(	PUNCT
ap-1277	126	23	critical	critical	ADJ
ap-1277	126	24	)	)	PUNCT
ap-1277	126	25	1	1	NUM
ap-1277	127	1	+	+	NUM
ap-1277	127	2	0.0005	0.0005	NUM
ap-1277	127	3	we	we	PRON
ap-1277	127	4	may	may	AUX
ap-1277	127	5	conclude	conclude	VERB
ap-1277	127	6	that	that	SCONJ
ap-1277	127	7	in	in	ADP
ap-1277	127	8	general	general	ADJ
ap-1277	127	9	one	one	NUM
ap-1277	127	10	has	have	VERB
ap-1277	127	11	to	to	PART
ap-1277	127	12	deal	deal	VERB
ap-1277	127	13	here	here	ADV
ap-1277	127	14	with	with	ADP
ap-1277	127	15	the	the	DET
ap-1277	127	16	very	very	ADV
ap-1277	127	17	high	high	ADJ
ap-1277	127	18	sensitivity	sensitivity	NOUN
ap-1277	127	19	of	of	ADP
ap-1277	127	20	the	the	DET
ap-1277	127	21	results	result	NOUN
ap-1277	127	22	to	to	ADP
ap-1277	127	23	the	the	DET
ap-1277	127	24	precision	precision	NOUN
ap-1277	127	25	of	of	ADP
ap-1277	127	26	the	the	DET
ap-1277	127	27	numerical	numerical	ADJ
ap-1277	127	28	input	input	NOUN
ap-1277	127	29	or	or	CCONJ
ap-1277	127	30	to	to	ADP
ap-1277	127	31	the	the	DET
ap-1277	127	32	precision	precision	NOUN
ap-1277	127	33	of	of	ADP
ap-1277	127	34	the	the	DET
ap-1277	127	35	computer	computer	NOUN
ap-1277	127	36	arithmetics	arithmetic	NOUN
ap-1277	127	37	.	.	PUNCT
ap-1277	128	1	this	this	PRON
ap-1277	128	2	confirms	confirm	VERB
ap-1277	128	3	the	the	DET
ap-1277	128	4	expectations	expectation	NOUN
ap-1277	128	5	expressed	express	VERB
ap-1277	128	6	in	in	ADP
ap-1277	128	7	our	our	PRON
ap-1277	128	8	older	old	ADJ
ap-1277	128	9	paper	paper	NOUN
ap-1277	128	10	[	[	X
ap-1277	128	11	12	12	NUM
ap-1277	128	12	]	]	PUNCT
ap-1277	128	13	where	where	SCONJ
ap-1277	128	14	we	we	PRON
ap-1277	128	15	emphasized	emphasize	VERB
ap-1277	128	16	that	that	SCONJ
ap-1277	128	17	the	the	DET
ap-1277	128	18	descriptor	descriptor	NOUN
ap-1277	128	19	�	�	PROPN
ap-1277	128	20	is	be	AUX
ap-1277	128	21	not	not	PART
ap-1277	128	22	necessarily	necessarily	ADV
ap-1277	128	23	easily	easily	ADV
ap-1277	128	24	inferred	infer	VERB
ap-1277	128	25	from	from	ADP
ap-1277	128	26	a	a	DET
ap-1277	128	27	nontrivial	nontrivial	NOUN
ap-1277	128	28	,	,	PUNCT
ap-1277	128	29	detailed	detailed	ADJ
ap-1277	128	30	analysis	analysis	NOUN
ap-1277	128	31	of	of	ADP
ap-1277	128	32	the	the	DET
ap-1277	128	33	mapping	mapping	NOUN
ap-1277	128	34	m.	m.	NOUN
ap-1277	128	35	4.2	4.2	NUM
ap-1277	128	36	rectifiable	rectifiable	ADJ
ap-1277	128	37	tobogganic	tobogganic	ADJ
ap-1277	128	38	contours	contours	NOUN
ap-1277	128	39	with	with	ADP
ap-1277	128	40	κ	κ	PRON
ap-1277	128	41	≥	≥	NOUN
ap-1277	128	42	5	5	NUM
ap-1277	128	43	once	once	SCONJ
ap-1277	128	44	we	we	PRON
ap-1277	128	45	select	select	VERB
ap-1277	128	46	the	the	DET
ap-1277	128	47	next	next	ADJ
ap-1277	128	48	odd	odd	ADJ
ap-1277	128	49	integer	integer	NOUN
ap-1277	128	50	κ	κ	PROPN
ap-1277	128	51	=	=	SYM
ap-1277	128	52	5	5	NUM
ap-1277	128	53	in	in	ADP
ap-1277	128	54	eq	eq	ADP
ap-1277	128	55	.	.	PUNCT
ap-1277	129	1	(	(	PUNCT
ap-1277	129	2	10	10	NUM
ap-1277	129	3	)	)	PUNCT
ap-1277	129	4	the	the	DET
ap-1277	129	5	study	study	NOUN
ap-1277	129	6	of	of	ADP
ap-1277	129	7	the	the	DET
ap-1277	129	8	knot	knot	NOUN
ap-1277	129	9	-	-	PUNCT
ap-1277	129	10	shaped	shape	VERB
ap-1277	129	11	structure	structure	NOUN
ap-1277	129	12	of	of	ADP
ap-1277	129	13	the	the	DET
ap-1277	129	14	resulting	result	VERB
ap-1277	129	15	integration	integration	NOUN
ap-1277	129	16	contours	contour	VERB
ap-1277	129	17	c(	c(	PROPN
ap-1277	129	18	�	�	PROPN
ap-1277	129	19	)(s	)(s	ADJ
ap-1277	129	20	)	)	PUNCT
ap-1277	129	21	becomes	become	VERB
ap-1277	129	22	even	even	ADV
ap-1277	129	23	more	more	ADV
ap-1277	129	24	involved	involved	ADJ
ap-1277	129	25	because	because	SCONJ
ap-1277	129	26	in	in	ADP
ap-1277	129	27	the	the	DET
ap-1277	129	28	generic	generic	ADJ
ap-1277	129	29	case	case	NOUN
ap-1277	129	30	sampled	sample	VERB
ap-1277	129	31	by	by	ADP
ap-1277	129	32	figure	figure	NOUN
ap-1277	129	33	6	6	NUM
ap-1277	129	34	the	the	DET
ap-1277	129	35	size	size	NOUN
ap-1277	129	36	of	of	ADP
ap-1277	129	37	the	the	DET
ap-1277	129	38	internal	internal	ADJ
ap-1277	129	39	loops	loop	NOUN
ap-1277	129	40	proves	prove	VERB
ap-1277	129	41	unexpectedly	unexpectedly	ADV
ap-1277	129	42	small	small	ADJ
ap-1277	129	43	in	in	ADP
ap-1277	129	44	comparison	comparison	NOUN
ap-1277	129	45	.	.	PUNCT
ap-1277	130	1	as	as	ADP
ap-1277	130	2	a	a	DET
ap-1277	130	3	consequence	consequence	NOUN
ap-1277	130	4	,	,	PUNCT
ap-1277	130	5	their	their	PRON
ap-1277	130	6	very	very	ADJ
ap-1277	130	7	existence	existence	NOUN
ap-1277	130	8	may	may	AUX
ap-1277	130	9	in	in	ADP
ap-1277	130	10	principle	principle	NOUN
ap-1277	130	11	escape	escape	VERB
ap-1277	130	12	our	our	PRON
ap-1277	130	13	attention	attention	NOUN
ap-1277	130	14	.	.	PUNCT
ap-1277	131	1	thus	thus	ADV
ap-1277	131	2	,	,	PUNCT
ap-1277	131	3	one	one	PRON
ap-1277	131	4	might	might	AUX
ap-1277	131	5	even	even	ADV
ap-1277	131	6	mistakenly	mistakenly	ADV
ap-1277	131	7	perceive	perceive	VERB
ap-1277	131	8	the	the	DET
ap-1277	131	9	curve	curve	NOUN
ap-1277	131	10	of	of	ADP
ap-1277	131	11	figure	figure	NOUN
ap-1277	131	12	6	6	NUM
ap-1277	131	13	as	as	ADP
ap-1277	131	14	an	an	DET
ap-1277	131	15	inessential	inessential	ADJ
ap-1277	131	16	deformation	deformation	NOUN
ap-1277	131	17	of	of	ADP
ap-1277	131	18	the	the	DET
ap-1277	131	19	curves	curve	NOUN
ap-1277	131	20	in	in	ADP
ap-1277	131	21	figures	figure	NOUN
ap-1277	131	22	1	1	NUM
ap-1277	131	23	or	or	CCONJ
ap-1277	131	24	2	2	NUM
ap-1277	131	25	.	.	PUNCT
ap-1277	132	1	naturally	naturally	ADV
ap-1277	132	2	,	,	PUNCT
ap-1277	132	3	not	not	PART
ap-1277	132	4	all	all	PRON
ap-1277	132	5	of	of	ADP
ap-1277	132	6	the	the	DET
ap-1277	132	7	features	feature	NOUN
ap-1277	132	8	of	of	ADP
ap-1277	132	9	our	our	PRON
ap-1277	132	10	toboganic	toboganic	ADJ
ap-1277	132	11	integration	integration	NOUN
ap-1277	132	12	contours	contours	NOUN
ap-1277	132	13	will	will	AUX
ap-1277	132	14	change	change	VERB
ap-1277	132	15	during	during	ADP
ap-1277	132	16	the	the	DET
ap-1277	132	17	transition	transition	NOUN
ap-1277	132	18	from	from	ADP
ap-1277	132	19	κ	κ	NOUN
ap-1277	132	20	=	=	SYM
ap-1277	132	21	3	3	NUM
ap-1277	132	22	to	to	ADP
ap-1277	132	23	κ	κ	NOUN
ap-1277	132	24	=	=	SYM
ap-1277	132	25	5	5	X
ap-1277	132	26	.	.	PUNCT
ap-1277	133	1	in	in	ADP
ap-1277	133	2	particular	particular	ADJ
ap-1277	133	3	,	,	PUNCT
ap-1277	133	4	the	the	DET
ap-1277	133	5	partial	partial	ADJ
ap-1277	133	6	parallelism	parallelism	NOUN
ap-1277	133	7	between	between	ADP
ap-1277	133	8	figures	figure	NOUN
ap-1277	133	9	2	2	NUM
ap-1277	133	10	and	and	CCONJ
ap-1277	133	11	6	6	NUM
ap-1277	133	12	survives	survive	VERB
ap-1277	133	13	as	as	ADP
ap-1277	133	14	the	the	DET
ap-1277	133	15	similar	similar	ADJ
ap-1277	133	16	global	global	ADJ
ap-1277	133	17	-	-	PUNCT
ap-1277	133	18	shape	shape	NOUN
ap-1277	133	19	partial	partial	ADJ
ap-1277	133	20	parallelism	parallelism	NOUN
ap-1277	133	21	between	between	ADP
ap-1277	133	22	figures	figure	NOUN
ap-1277	133	23	4	4	NUM
ap-1277	133	24	(	(	PUNCT
ap-1277	133	25	where	where	SCONJ
ap-1277	133	26	κ	κ	NOUN
ap-1277	133	27	=	=	NOUN
ap-1277	133	28	3	3	NUM
ap-1277	133	29	)	)	PUNCT
ap-1277	133	30	and	and	CCONJ
ap-1277	133	31	7	7	NUM
ap-1277	133	32	(	(	PUNCT
ap-1277	133	33	where	where	SCONJ
ap-1277	133	34	κ	κ	NOUN
ap-1277	133	35	=	=	NOUN
ap-1277	133	36	5	5	NUM
ap-1277	133	37	)	)	PUNCT
ap-1277	133	38	.	.	PUNCT
ap-1277	134	1	moreover	moreover	ADV
ap-1277	134	2	,	,	PUNCT
ap-1277	134	3	a	a	DET
ap-1277	134	4	certain	certain	ADJ
ap-1277	134	5	local	local	ADJ
ap-1277	134	6	-	-	PUNCT
ap-1277	134	7	shape	shape	NOUN
ap-1277	134	8	partial	partial	ADJ
ap-1277	134	9	parallelism	parallelism	NOUN
ap-1277	134	10	may	may	AUX
ap-1277	134	11	be	be	AUX
ap-1277	134	12	also	also	ADV
ap-1277	134	13	found	find	VERB
ap-1277	134	14	between	between	ADP
ap-1277	134	15	figure	figure	NOUN
ap-1277	134	16	2	2	NUM
ap-1277	134	17	(	(	PUNCT
ap-1277	134	18	where	where	SCONJ
ap-1277	134	19	the	the	DET
ap-1277	134	20	two	two	NUM
ap-1277	134	21	upwardsoriented	upwardsoriented	ADJ
ap-1277	134	22	loops	loop	NOUN
ap-1277	134	23	almost	almost	ADV
ap-1277	134	24	touch	touch	VERB
ap-1277	134	25	at	at	ADP
ap-1277	134	26	κ	κ	NOUN
ap-1277	134	27	=	=	SYM
ap-1277	134	28	3	3	NUM
ap-1277	134	29	)	)	PUNCT
ap-1277	134	30	and	and	CCONJ
ap-1277	134	31	figure	figure	VERB
ap-1277	134	32	8	8	NUM
ap-1277	134	33	(	(	PUNCT
ap-1277	134	34	where	where	SCONJ
ap-1277	134	35	the	the	DET
ap-1277	134	36	two	two	NUM
ap-1277	134	37	downwards	downwards	ADV
ap-1277	134	38	-	-	PUNCT
ap-1277	134	39	oriented	orient	VERB
ap-1277	134	40	“	"	PUNCT
ap-1277	134	41	inner	inner	ADJ
ap-1277	134	42	”	"	PUNCT
ap-1277	134	43	loops	loop	NOUN
ap-1277	134	44	almost	almost	ADV
ap-1277	134	45	touch	touch	VERB
ap-1277	134	46	at	at	ADP
ap-1277	134	47	κ	κ	NOUN
ap-1277	134	48	=	=	SYM
ap-1277	134	49	5	5	NUM
ap-1277	134	50	)	)	PUNCT
ap-1277	134	51	.	.	PUNCT
ap-1277	135	1	the	the	DET
ap-1277	135	2	latter	latter	ADJ
ap-1277	135	3	parallels	parallel	NOUN
ap-1277	135	4	seem	seem	VERB
ap-1277	135	5	to	to	PART
ap-1277	135	6	sample	sample	VERB
ap-1277	135	7	a	a	DET
ap-1277	135	8	certain	certain	ADJ
ap-1277	135	9	more	more	ADV
ap-1277	135	10	general	general	ADJ
ap-1277	135	11	mechanism	mechanism	NOUN
ap-1277	135	12	,	,	PUNCT
ap-1277	135	13	since	since	SCONJ
ap-1277	135	14	figure	figure	NOUN
ap-1277	135	15	4	4	NUM
ap-1277	135	16	also	also	ADV
ap-1277	135	17	finds	find	VERB
ap-1277	135	18	its	its	PRON
ap-1277	135	19	replica	replica	NOUN
ap-1277	135	20	inside	inside	ADP
ap-1277	135	21	the	the	DET
ap-1277	135	22	upper	upper	ADJ
ap-1277	135	23	part	part	NOUN
ap-1277	135	24	of	of	ADP
ap-1277	135	25	figure	figure	NOUN
ap-1277	135	26	9	9	NUM
ap-1277	135	27	,	,	PUNCT
ap-1277	135	28	etc	etc	X
ap-1277	135	29	.	.	X
ap-1277	135	30	obviously	obviously	ADV
ap-1277	135	31	,	,	PUNCT
ap-1277	135	32	the	the	DET
ap-1277	135	33	next	next	ADJ
ap-1277	135	34	-	-	PUNCT
ap-1277	135	35	step	step	NOUN
ap-1277	135	36	transition	transition	NOUN
ap-1277	135	37	from	from	ADP
ap-1277	135	38	κ	κ	NOUN
ap-1277	135	39	=	=	SYM
ap-1277	135	40	5	5	NUM
ap-1277	135	41	to	to	ADP
ap-1277	135	42	κ	κ	NOUN
ap-1277	135	43	=	=	SYM
ap-1277	135	44	7	7	NUM
ap-1277	135	45	(	(	PUNCT
ap-1277	135	46	etc	etc	X
ap-1277	135	47	.	.	X
ap-1277	135	48	)	)	PUNCT
ap-1277	135	49	may	may	AUX
ap-1277	135	50	also	also	ADV
ap-1277	135	51	be	be	AUX
ap-1277	135	52	expected	expect	VERB
ap-1277	135	53	to	to	PART
ap-1277	135	54	proceed	proceed	VERB
ap-1277	135	55	along	along	ADP
ap-1277	135	56	similar	similar	ADJ
ap-1277	135	57	lines	line	NOUN
ap-1277	135	58	.	.	PUNCT
ap-1277	136	1	re	re	X
ap-1277	136	2	x	x	VERB
ap-1277	137	1	i	i	VERB
ap-1277	137	2	m	m	VERB
ap-1277	137	3	x	x	INTJ
ap-1277	137	4	–	–	PUNCT
ap-1277	137	5	10	10	NUM
ap-1277	137	6	–	–	SYM
ap-1277	137	7	4	4	NUM
ap-1277	137	8	4	4	NUM
ap-1277	137	9	fig	fig	NOUN
ap-1277	137	10	.	.	PUNCT
ap-1277	138	1	8	8	NUM
ap-1277	138	2	:	:	PUNCT
ap-1277	138	3	the	the	DET
ap-1277	138	4	other	other	ADJ
ap-1277	138	5	extreme	extreme	ADJ
ap-1277	138	6	triple	triple	ADV
ap-1277	138	7	-	-	PUNCT
ap-1277	138	8	circled	circle	VERB
ap-1277	138	9	κ	κ	NOUN
ap-1277	138	10	=	=	SYM
ap-1277	138	11	5	5	NUM
ap-1277	138	12	curve	curve	NOUN
ap-1277	138	13	c(rrll)(s	c(rrll)(s	NOUN
ap-1277	138	14	)	)	PUNCT
ap-1277	138	15	as	as	ADP
ap-1277	138	16	emerging	emerge	VERB
ap-1277	138	17	at	at	ADP
ap-1277	138	18	ε	ε	PROPN
ap-1277	138	19	=	=	SYM
ap-1277	138	20	ε	ε	PROPN
ap-1277	138	21	(	(	PUNCT
ap-1277	138	22	critical	critical	ADJ
ap-1277	138	23	)	)	PUNCT
ap-1277	138	24	2	2	NUM
ap-1277	138	25	−	−	NOUN
ap-1277	138	26	0.005	0.005	NUM
ap-1277	138	27	,	,	PUNCT
ap-1277	138	28	i.e.	i.e.	X
ap-1277	138	29	,	,	PUNCT
ap-1277	138	30	close	close	ADJ
ap-1277	138	31	to	to	ADP
ap-1277	138	32	the	the	DET
ap-1277	138	33	second	second	ADJ
ap-1277	138	34	boundary	boundary	ADJ
ap-1277	138	35	ε	ε	PROPN
ap-1277	138	36	(	(	PUNCT
ap-1277	138	37	critical	critical	ADJ
ap-1277	138	38	)	)	PUNCT
ap-1277	138	39	2	2	NUM
ap-1277	138	40	∼	∼	NOUN
ap-1277	138	41	0.492	0.492	NUM
ap-1277	138	42	233	233	NUM
ap-1277	138	43	43	43	NUM
ap-1277	138	44	re	re	NOUN
ap-1277	138	45	x	x	PROPN
ap-1277	139	1	i	i	VERB
ap-1277	139	2	m	m	VERB
ap-1277	139	3	x	x	INTJ
ap-1277	139	4	–	–	PUNCT
ap-1277	139	5	10	10	NUM
ap-1277	139	6	–	–	SYM
ap-1277	139	7	4	4	NUM
ap-1277	139	8	4	4	NUM
ap-1277	139	9	fig	fig	NOUN
ap-1277	139	10	.	.	PUNCT
ap-1277	140	1	9	9	NUM
ap-1277	140	2	:	:	PUNCT
ap-1277	140	3	the	the	DET
ap-1277	140	4	twice	twice	ADV
ap-1277	140	5	-	-	PUNCT
ap-1277	140	6	circling	circle	VERB
ap-1277	140	7	tobogganic	tobogganic	ADJ
ap-1277	140	8	κ	κ	NOUN
ap-1277	140	9	=	=	SYM
ap-1277	140	10	5	5	NUM
ap-1277	140	11	curve	curve	NOUN
ap-1277	140	12	c(rlrl)(s	c(rlrl)(s	PROPN
ap-1277	140	13	)	)	PUNCT
ap-1277	140	14	as	as	ADP
ap-1277	140	15	emerging	emerge	VERB
ap-1277	140	16	slightly	slightly	ADV
ap-1277	140	17	above	above	ADP
ap-1277	140	18	the	the	DET
ap-1277	140	19	second	second	ADJ
ap-1277	140	20	critical	critical	ADJ
ap-1277	140	21	shift	shift	NOUN
ap-1277	140	22	-	-	PUNCT
ap-1277	140	23	parameter	parameter	NOUN
ap-1277	140	24	,	,	PUNCT
ap-1277	140	25	viz	viz	PROPN
ap-1277	140	26	,	,	PUNCT
ap-1277	140	27	at	at	ADP
ap-1277	140	28	ε	ε	PROPN
ap-1277	140	29	=	=	SYM
ap-1277	140	30	ε	ε	PROPN
ap-1277	140	31	(	(	PUNCT
ap-1277	140	32	critical	critical	ADJ
ap-1277	140	33	)	)	PUNCT
ap-1277	140	34	2	2	NUM
ap-1277	140	35	+	+	CCONJ
ap-1277	140	36	0.005	0.005	NUM
ap-1277	140	37	88	88	NUM
ap-1277	140	38	acta	acta	PROPN
ap-1277	140	39	polytechnica	polytechnica	PROPN
ap-1277	140	40	vol	vol	NOUN
ap-1277	140	41	.	.	PROPN
ap-1277	141	1	50	50	NUM
ap-1277	141	2	no	no	NOUN
ap-1277	141	3	.	.	PUNCT
ap-1277	142	1	5/2010	5/2010	NUM
ap-1277	142	2	table	table	NOUN
ap-1277	142	3	1	1	NUM
ap-1277	142	4	:	:	PUNCT
ap-1277	142	5	transition	transition	NOUN
ap-1277	142	6	parameters	parameter	NOUN
ap-1277	142	7	for	for	ADP
ap-1277	142	8	κ	κ	NOUN
ap-1277	142	9	=	=	SYM
ap-1277	142	10	2	2	NUM
ap-1277	142	11	m	m	NOUN
ap-1277	142	12	+	+	NOUN
ap-1277	142	13	1	1	NUM
ap-1277	142	14	with	with	ADP
ap-1277	142	15	m	m	PROPN
ap-1277	142	16	=	=	SYM
ap-1277	142	17	1	1	NUM
ap-1277	142	18	,	,	PUNCT
ap-1277	142	19	2	2	NUM
ap-1277	142	20	,	,	PUNCT
ap-1277	142	21	.	.	PUNCT
ap-1277	142	22	.	.	PUNCT
ap-1277	142	23	.	.	PUNCT
ap-1277	143	1	,	,	PUNCT
ap-1277	143	2	6	6	NUM
ap-1277	143	3	m	m	NOUN
ap-1277	143	4	ε	ε	PROPN
ap-1277	143	5	(	(	PUNCT
ap-1277	143	6	critical	critical	ADJ
ap-1277	143	7	)	)	PUNCT
ap-1277	143	8	(	(	PUNCT
ap-1277	143	9	m	m	NOUN
ap-1277	143	10	)	)	PUNCT
ap-1277	143	11	pseudocoordinate	pseudocoordinate	ADJ
ap-1277	143	12	angle	angle	NOUN
ap-1277	143	13	m	m	PROPN
ap-1277	143	14	b	b	NOUN
ap-1277	144	1	[	[	X
ap-1277	144	2	critical	critical	ADJ
ap-1277	144	3	shift	shift	NOUN
ap-1277	144	4	in	in	ADP
ap-1277	144	5	c(0)(s	c(0)(s	NOUN
ap-1277	144	6	)	)	PUNCT
ap-1277	144	7	]	]	PUNCT
ap-1277	145	1	∣∣∣s(critical	∣∣∣s(critical	X
ap-1277	145	2	)	)	PUNCT
ap-1277	145	3	(	(	PUNCT
ap-1277	145	4	m	m	NOUN
ap-1277	145	5	)	)	PUNCT
ap-1277	145	6	∣∣∣	∣∣∣	NOUN
ap-1277	145	7	ϕ	ϕ	X
ap-1277	145	8	(	(	PUNCT
ap-1277	145	9	critical	critical	ADJ
ap-1277	145	10	)	)	PUNCT
ap-1277	145	11	(	(	PUNCT
ap-1277	145	12	m	m	NOUN
ap-1277	145	13	)	)	PUNCT
ap-1277	145	14	1	1	NUM
ap-1277	145	15	1	1	NUM
ap-1277	145	16	0.866	0.866	NUM
ap-1277	145	17	0	0	NUM
ap-1277	145	18	0.340	0.340	NUM
ap-1277	145	19	625	625	NUM
ap-1277	145	20	019	019	NUM
ap-1277	145	21	316	316	NUM
ap-1277	145	22	606	606	NUM
ap-1277	145	23	640	640	NUM
ap-1277	145	24	17	17	NUM
ap-1277	145	25	1.271	1.271	NUM
ap-1277	145	26	2	2	NUM
ap-1277	145	27	0.261	0.261	NUM
ap-1277	145	28	8	8	NUM
ap-1277	145	29	2	2	NUM
ap-1277	145	30	1	1	NUM
ap-1277	145	31	0.951	0.951	NUM
ap-1277	145	32	0	0	NUM
ap-1277	145	33	0.492	0.492	NUM
ap-1277	145	34	233	233	NUM
ap-1277	145	35	429	429	NUM
ap-1277	145	36	868	868	NUM
ap-1277	145	37	336	336	NUM
ap-1277	145	38	798	798	NUM
ap-1277	145	39	23	23	NUM
ap-1277	145	40	0.966	0.966	NUM
ap-1277	145	41	06	06	NUM
ap-1277	145	42	0.471	0.471	NUM
ap-1277	145	43	2	2	NUM
ap-1277	145	44	2	2	NUM
ap-1277	145	45	0.587	0.587	NUM
ap-1277	145	46	8	8	NUM
ap-1277	145	47	0.215	0.215	NUM
ap-1277	145	48	749	749	NUM
ap-1277	145	49	899	899	NUM
ap-1277	145	50	438	438	NUM
ap-1277	145	51	400	400	NUM
ap-1277	145	52	341	341	NUM
ap-1277	145	53	63	63	NUM
ap-1277	145	54	1.362	1.362	NUM
ap-1277	145	55	2	2	NUM
ap-1277	145	56	0.157	0.157	NUM
ap-1277	145	57	1	1	NUM
ap-1277	145	58	3	3	NUM
ap-1277	145	59	1	1	NUM
ap-1277	145	60	0.781	0.781	NUM
ap-1277	145	61	8	8	NUM
ap-1277	145	62	0.495	0.495	NUM
ap-1277	145	63	609	609	NUM
ap-1277	145	64	362	362	NUM
ap-1277	145	65	347	347	NUM
ap-1277	145	66	933	933	NUM
ap-1277	145	67	138	138	NUM
ap-1277	145	68	54	54	NUM
ap-1277	145	69	0.788	0.788	NUM
ap-1277	145	70	76	76	NUM
ap-1277	145	71	0.561	0.561	NUM
ap-1277	145	72	0	0	NUM
ap-1277	145	73	2	2	NUM
ap-1277	145	74	0.974	0.974	NUM
ap-1277	145	75	9	9	NUM
ap-1277	145	76	0.413	0.413	NUM
ap-1277	145	77	002	002	NUM
ap-1277	145	78	440	440	NUM
ap-1277	145	79	053	053	NUM
ap-1277	145	80	170	170	NUM
ap-1277	145	81	395	395	NUM
ap-1277	145	82	97	97	NUM
ap-1277	145	83	1.180	1.180	NUM
ap-1277	145	84	3	3	NUM
ap-1277	145	85	0.336	0.336	NUM
ap-1277	145	86	6	6	NUM
ap-1277	145	87	3	3	NUM
ap-1277	145	88	0.433	0.433	NUM
ap-1277	145	89	9	9	NUM
ap-1277	145	90	0.156	0.156	NUM
ap-1277	145	91	344	344	NUM
ap-1277	145	92	102	102	NUM
ap-1277	145	93	001	001	NUM
ap-1277	145	94	367	367	NUM
ap-1277	145	95	624	624	NUM
ap-1277	145	96	02	02	NUM
ap-1277	145	97	1.387	1.387	NUM
ap-1277	145	98	6	6	NUM
ap-1277	145	99	0.112	0.112	NUM
ap-1277	145	100	2	2	NUM
ap-1277	145	101	4	4	NUM
ap-1277	145	102	1	1	NUM
ap-1277	145	103	0.642	0.642	NUM
ap-1277	145	104	8	8	NUM
ap-1277	145	105	0.474	0.474	NUM
ap-1277	145	106	386	386	NUM
ap-1277	145	107	303	303	NUM
ap-1277	145	108	433	433	NUM
ap-1277	145	109	349	349	NUM
ap-1277	145	110	296	296	NUM
ap-1277	145	111	61	61	NUM
ap-1277	145	112	0.677	0.677	NUM
ap-1277	145	113	49	49	NUM
ap-1277	145	114	0.610	0.610	NUM
ap-1277	145	115	9	9	NUM
ap-1277	145	116	2	2	NUM
ap-1277	145	117	0.984	0.984	NUM
ap-1277	145	118	8	8	NUM
ap-1277	145	119	0.4791781	0.4791781	NUM
ap-1277	145	120	490	490	NUM
ap-1277	145	121	427	427	NUM
ap-1277	145	122	172	172	NUM
ap-1277	145	123	021	021	NUM
ap-1277	145	124	8	8	NUM
ap-1277	145	125	1.027	1.027	NUM
ap-1277	145	126	6	6	NUM
ap-1277	145	127	0.436	0.436	NUM
ap-1277	145	128	3	3	NUM
ap-1277	145	129	3	3	NUM
ap-1277	145	130	0.866	0.866	NUM
ap-1277	145	131	0	0	NUM
ap-1277	145	132	0.340	0.340	NUM
ap-1277	145	133	625	625	NUM
ap-1277	145	134	019	019	NUM
ap-1277	145	135	316	316	NUM
ap-1277	145	136	606	606	NUM
ap-1277	145	137	640	640	NUM
ap-1277	145	138	17	17	NUM
ap-1277	145	139	1.271	1.271	NUM
ap-1277	145	140	2	2	NUM
ap-1277	145	141	0.261	0.261	NUM
ap-1277	145	142	8	8	NUM
ap-1277	145	143	4	4	NUM
ap-1277	145	144	0.342	0.342	NUM
ap-1277	145	145	0	0	NUM
ap-1277	145	146	0.122	0.122	NUM
ap-1277	145	147	316	316	NUM
ap-1277	145	148	976	976	NUM
ap-1277	145	149	006	006	NUM
ap-1277	145	150	006	006	NUM
ap-1277	145	151	081	081	NUM
ap-1277	145	152	08	08	NUM
ap-1277	145	153	1.398	1.398	NUM
ap-1277	145	154	1	1	NUM
ap-1277	145	155	0.087	0.087	NUM
ap-1277	145	156	27	27	NUM
ap-1277	145	157	5	5	NUM
ap-1277	145	158	1	1	NUM
ap-1277	145	159	0.540	0.540	NUM
ap-1277	145	160	6	6	NUM
ap-1277	145	161	0.449	0.449	NUM
ap-1277	145	162	843	843	NUM
ap-1277	145	163	665	665	NUM
ap-1277	145	164	351	351	NUM
ap-1277	145	165	664	664	NUM
ap-1277	145	166	457	457	NUM
ap-1277	145	167	72	72	NUM
ap-1277	145	168	0.600	0.600	NUM
ap-1277	145	169	92	92	NUM
ap-1277	145	170	0.642	0.642	NUM
ap-1277	145	171	6	6	NUM
ap-1277	145	172	2	2	NUM
ap-1277	145	173	0.909	0.909	NUM
ap-1277	145	174	6	6	NUM
ap-1277	145	175	0.498	0.498	NUM
ap-1277	145	176	345	345	NUM
ap-1277	145	177	586	586	NUM
ap-1277	145	178	873	873	NUM
ap-1277	145	179	748	748	NUM
ap-1277	146	1	481	481	NUM
ap-1277	147	1	53	53	NUM
ap-1277	147	2	0.912	0.912	NUM
ap-1277	147	3	65	65	NUM
ap-1277	147	4	0.499	0.499	NUM
ap-1277	147	5	8	8	NUM
ap-1277	147	6	3	3	NUM
ap-1277	147	7	0.989	0.989	NUM
ap-1277	147	8	8	8	NUM
ap-1277	147	9	0.429	0.429	NUM
ap-1277	147	10	641	641	NUM
ap-1277	147	11	891	891	NUM
ap-1277	147	12	832	832	NUM
ap-1277	147	13	739	739	NUM
ap-1277	147	14	831	831	NUM
ap-1277	147	15	52	52	NUM
ap-1277	147	16	1.151	1.151	NUM
ap-1277	147	17	9	9	NUM
ap-1277	147	18	0.357	0.357	NUM
ap-1277	147	19	0	0	NUM
ap-1277	147	20	4	4	NUM
ap-1277	147	21	0.755	0.755	NUM
ap-1277	147	22	7	7	NUM
ap-1277	147	23	0.286	0.286	NUM
ap-1277	147	24	708	708	NUM
ap-1277	147	25	263	263	NUM
ap-1277	147	26	539	539	NUM
ap-1277	147	27	570	570	NUM
ap-1277	147	28	549	549	NUM
ap-1277	147	29	64	64	NUM
ap-1277	147	30	1.318	1.318	NUM
ap-1277	147	31	0	0	NUM
ap-1277	147	32	0.214	0.214	NUM
ap-1277	147	33	2	2	NUM
ap-1277	147	34	5	5	NUM
ap-1277	147	35	0.281	0.281	NUM
ap-1277	147	36	7	7	NUM
ap-1277	147	37	0.100	0.100	NUM
ap-1277	147	38	374	374	NUM
ap-1277	147	39	075	075	NUM
ap-1277	147	40	705	705	NUM
ap-1277	147	41	253	253	NUM
ap-1277	147	42	881	881	NUM
ap-1277	147	43	31	31	NUM
ap-1277	147	44	1.403	1.403	NUM
ap-1277	147	45	4	4	NUM
ap-1277	147	46	0.071	0.071	NUM
ap-1277	147	47	400	400	NUM
ap-1277	147	48	6	6	NUM
ap-1277	147	49	1	1	NUM
ap-1277	147	50	0.464	0.464	NUM
ap-1277	147	51	7	7	NUM
ap-1277	147	52	0.426	0.426	NUM
ap-1277	147	53	665	665	NUM
ap-1277	147	54	767	767	NUM
ap-1277	147	55	450	450	NUM
ap-1277	147	56	545	545	NUM
ap-1277	147	57	199	199	NUM
ap-1277	147	58	11	11	NUM
ap-1277	147	59	0.544	0.544	NUM
ap-1277	147	60	60	60	NUM
ap-1277	147	61	0.664	0.664	NUM
ap-1277	147	62	6	6	NUM
ap-1277	147	63	2	2	NUM
ap-1277	147	64	0.823	0.823	NUM
ap-1277	147	65	0	0	NUM
ap-1277	147	66	0.498	0.498	NUM
ap-1277	147	67	753	753	NUM
ap-1277	147	68	992	992	NUM
ap-1277	147	69	875	875	NUM
ap-1277	147	70	592	592	NUM
ap-1277	147	71	372	372	NUM
ap-1277	147	72	35	35	NUM
ap-1277	147	73	0.825	0.825	NUM
ap-1277	147	74	04	04	NUM
ap-1277	147	75	0.543	0.543	NUM
ap-1277	147	76	7	7	NUM
ap-1277	147	77	3	3	NUM
ap-1277	147	78	0.992	0.992	NUM
ap-1277	147	79	7	7	NUM
ap-1277	147	80	0.472	0.472	NUM
ap-1277	147	81	642	642	NUM
ap-1277	147	82	569	569	NUM
ap-1277	147	83	357	357	NUM
ap-1277	147	84	074	074	NUM
ap-1277	147	85	235	235	NUM
ap-1277	147	86	45	45	NUM
ap-1277	147	87	1.050	1.050	NUM
ap-1277	147	88	2	2	NUM
ap-1277	147	89	0.422	0.422	NUM
ap-1277	147	90	9	9	NUM
ap-1277	147	91	4	4	NUM
ap-1277	147	92	0.935	0.935	NUM
ap-1277	147	93	0	0	NUM
ap-1277	147	94	0.381	0.381	NUM
ap-1277	147	95	682	682	NUM
ap-1277	147	96	357	357	NUM
ap-1277	147	97	952	952	NUM
ap-1277	147	98	772	772	NUM
ap-1277	147	99	794	794	NUM
ap-1277	147	100	38	38	NUM
ap-1277	147	101	1.224	1.224	NUM
ap-1277	147	102	9	9	NUM
ap-1277	147	103	0.302	0.302	NUM
ap-1277	147	104	1	1	NUM
ap-1277	147	105	5	5	NUM
ap-1277	148	1	0.663	0.663	NUM
ap-1277	148	2	1	1	NUM
ap-1277	148	3	0.246	0.246	NUM
ap-1277	148	4	497	497	NUM
ap-1277	148	5	197	197	NUM
ap-1277	148	6	955	955	NUM
ap-1277	148	7	401	401	NUM
ap-1277	148	8	257	257	NUM
ap-1277	148	9	95	95	NUM
ap-1277	148	10	1.345	1.345	NUM
ap-1277	148	11	1	1	NUM
ap-1277	148	12	0.181	0.181	NUM
ap-1277	148	13	2	2	NUM
ap-1277	148	14	6	6	NUM
ap-1277	148	15	0.239	0.239	NUM
ap-1277	148	16	3	3	NUM
ap-1277	148	17	0.085	0.085	NUM
ap-1277	148	18	076	076	NUM
ap-1277	148	19	232	232	NUM
ap-1277	148	20	785	785	NUM
ap-1277	148	21	825	825	NUM
ap-1277	148	22	555	555	NUM
ap-1277	148	23	735	735	NUM
ap-1277	148	24	1.406	1.406	NUM
ap-1277	148	25	5	5	NUM
ap-1277	148	26	0.060	0.060	NUM
ap-1277	148	27	42	42	NUM
ap-1277	148	28	for	for	ADP
ap-1277	148	29	computer	computer	NOUN
ap-1277	148	30	-	-	PUNCT
ap-1277	148	31	assisted	assist	VERB
ap-1277	148	32	drawing	drawing	NOUN
ap-1277	148	33	of	of	ADP
ap-1277	148	34	the	the	DET
ap-1277	148	35	graphical	graphical	ADJ
ap-1277	148	36	representation	representation	NOUN
ap-1277	148	37	of	of	ADP
ap-1277	148	38	the	the	DET
ap-1277	148	39	curves	curve	NOUN
ap-1277	148	40	c	c	NOUN
ap-1277	148	41	(	(	PUNCT
ap-1277	148	42	�	�	PROPN
ap-1277	148	43	)	)	PUNCT
ap-1277	148	44	the	the	DET
ap-1277	148	45	formulae	formulae	NOUN
ap-1277	148	46	of	of	ADP
ap-1277	148	47	paragraph	paragraph	NOUN
ap-1277	148	48	3.2	3.2	NUM
ap-1277	148	49	should	should	AUX
ap-1277	148	50	be	be	AUX
ap-1277	148	51	recalled	recall	VERB
ap-1277	148	52	as	as	ADP
ap-1277	148	53	the	the	DET
ap-1277	148	54	source	source	NOUN
ap-1277	148	55	of	of	ADP
ap-1277	148	56	the	the	DET
ap-1277	148	57	most	most	ADV
ap-1277	148	58	useful	useful	ADJ
ap-1277	148	59	information	information	NOUN
ap-1277	148	60	about	about	ADP
ap-1277	148	61	the	the	DET
ap-1277	148	62	critical	critical	ADJ
ap-1277	148	63	parameters	parameter	NOUN
ap-1277	148	64	.	.	PUNCT
ap-1277	149	1	the	the	DET
ap-1277	149	2	extended	extend	VERB
ap-1277	149	3	-	-	PUNCT
ap-1277	149	4	precision	precision	NOUN
ap-1277	149	5	values	value	NOUN
ap-1277	149	6	of	of	ADP
ap-1277	149	7	the	the	DET
ap-1277	149	8	underlying	underlying	ADJ
ap-1277	149	9	coordinates	coordinate	NOUN
ap-1277	149	10	of	of	ADP
ap-1277	149	11	the	the	DET
ap-1277	149	12	points	point	NOUN
ap-1277	149	13	of	of	ADP
ap-1277	149	14	instability	instability	NOUN
ap-1277	149	15	are	be	AUX
ap-1277	149	16	needed	need	VERB
ap-1277	149	17	in	in	ADP
ap-1277	149	18	such	such	DET
ap-1277	149	19	an	an	DET
ap-1277	149	20	application	application	NOUN
ap-1277	149	21	.	.	PUNCT
ap-1277	150	1	their	their	PRON
ap-1277	150	2	m	m	NOUN
ap-1277	150	3	≤	≤	NUM
ap-1277	150	4	6	6	NUM
ap-1277	150	5	sample	sample	NOUN
ap-1277	150	6	is	be	AUX
ap-1277	150	7	listed	list	VERB
ap-1277	150	8	here	here	ADV
ap-1277	150	9	in	in	ADP
ap-1277	150	10	table	table	NOUN
ap-1277	150	11	1	1	NUM
ap-1277	150	12	.	.	PUNCT
ap-1277	151	1	on	on	ADP
ap-1277	151	2	this	this	DET
ap-1277	151	3	basis	basis	NOUN
ap-1277	151	4	we	we	PRON
ap-1277	151	5	may	may	AUX
ap-1277	151	6	summarize	summarize	VERB
ap-1277	151	7	that	that	SCONJ
ap-1277	151	8	at	at	ADP
ap-1277	151	9	a	a	DET
ap-1277	151	10	generic	generic	ADJ
ap-1277	151	11	κ	κ	ADP
ap-1277	151	12	the	the	DET
ap-1277	151	13	variation	variation	NOUN
ap-1277	151	14	(	(	PUNCT
ap-1277	151	15	i.e.	i.e.	X
ap-1277	151	16	,	,	PUNCT
ap-1277	151	17	in	in	ADP
ap-1277	151	18	all	all	PRON
ap-1277	151	19	of	of	ADP
ap-1277	151	20	our	our	PRON
ap-1277	151	21	examples	example	NOUN
ap-1277	151	22	,	,	PUNCT
ap-1277	151	23	the	the	DET
ap-1277	151	24	growth	growth	NOUN
ap-1277	151	25	)	)	PUNCT
ap-1277	151	26	of	of	ADP
ap-1277	151	27	the	the	DET
ap-1277	151	28	shift	shift	NOUN
ap-1277	151	29	εmakes	εmake	VERB
ap-1277	151	30	certain	certain	ADJ
ap-1277	151	31	subspirals	subspiral	NOUN
ap-1277	151	32	of	of	ADP
ap-1277	151	33	contours	contours	PROPN
ap-1277	151	34	c	c	PROPN
ap-1277	151	35	(	(	PUNCT
ap-1277	151	36	�	�	NOUN
ap-1277	151	37	)	)	PUNCT
ap-1277	151	38	larger	large	ADJ
ap-1277	151	39	and	and	CCONJ
ap-1277	151	40	moving	move	VERB
ap-1277	151	41	closer	close	ADV
ap-1277	151	42	and	and	CCONJ
ap-1277	151	43	closer	close	ADV
ap-1277	151	44	to	to	ADP
ap-1277	151	45	each	each	DET
ap-1277	151	46	other	other	ADJ
ap-1277	151	47	.	.	PUNCT
ap-1277	152	1	in	in	ADP
ap-1277	152	2	this	this	DET
ap-1277	152	3	context	context	NOUN
ap-1277	152	4	our	our	PRON
ap-1277	152	5	table	table	NOUN
ap-1277	152	6	1	1	NUM
ap-1277	152	7	could	could	AUX
ap-1277	152	8	,	,	PUNCT
ap-1277	152	9	in	in	ADP
ap-1277	152	10	principle	principle	NOUN
ap-1277	152	11	,	,	PUNCT
ap-1277	152	12	serve	serve	VERB
ap-1277	152	13	as	as	ADP
ap-1277	152	14	a	a	DET
ap-1277	152	15	certain	certain	ADJ
ap-1277	152	16	systematic	systematic	ADJ
ap-1277	152	17	guide	guide	NOUN
ap-1277	152	18	towards	towards	ADP
ap-1277	152	19	a	a	DET
ap-1277	152	20	less	less	ADV
ap-1277	152	21	intuitive	intuitive	ADJ
ap-1277	152	22	classification	classification	NOUN
ap-1277	152	23	of	of	ADP
ap-1277	152	24	our	our	PRON
ap-1277	152	25	present	present	ADJ
ap-1277	152	26	graphical	graphical	ADJ
ap-1277	152	27	pictures	picture	NOUN
ap-1277	152	28	characterizing	characterize	VERB
ap-1277	152	29	transitions	transition	NOUN
ap-1277	152	30	between	between	ADP
ap-1277	152	31	different	different	ADJ
ap-1277	152	32	winding	wind	VERB
ap-1277	152	33	descriptors	descriptor	NOUN
ap-1277	152	34	�	�	PROPN
ap-1277	152	35	and	and	CCONJ
ap-1277	152	36	,	,	PUNCT
ap-1277	152	37	hence	hence	ADV
ap-1277	152	38	,	,	PUNCT
ap-1277	152	39	between	between	ADP
ap-1277	152	40	the	the	DET
ap-1277	152	41	topologically	topologically	ADV
ap-1277	152	42	non	non	ADJ
ap-1277	152	43	-	-	ADJ
ap-1277	152	44	equivalent	equivalent	ADJ
ap-1277	152	45	rectifiable	rectifiable	ADJ
ap-1277	152	46	tobogganic	tobogganic	ADJ
ap-1277	152	47	contours	contours	NOUN
ap-1277	152	48	c	c	X
ap-1277	152	49	(	(	PUNCT
ap-1277	152	50	�	�	PROPN
ap-1277	152	51	)	)	PUNCT
ap-1277	152	52	.	.	PUNCT
ap-1277	153	1	during	during	ADP
ap-1277	153	2	such	such	ADJ
ap-1277	153	3	phase	phase	NOUN
ap-1277	153	4	-	-	PUNCT
ap-1277	153	5	transition	transition	NOUN
ap-1277	153	6	-	-	PUNCT
ap-1277	153	7	like	like	ADJ
ap-1277	153	8	processes	process	NOUN
ap-1277	153	9	[	[	X
ap-1277	153	10	4	4	X
ap-1277	153	11	]	]	PUNCT
ap-1277	153	12	the	the	DET
ap-1277	153	13	value	value	NOUN
ap-1277	153	14	of	of	ADP
ap-1277	153	15	ε	ε	PROPN
ap-1277	153	16	crosses	cross	VERB
ap-1277	153	17	a	a	DET
ap-1277	153	18	critical	critical	ADJ
ap-1277	153	19	point	point	NOUN
ap-1277	153	20	beyond	beyond	ADP
ap-1277	153	21	which	which	PRON
ap-1277	153	22	the	the	DET
ap-1277	153	23	asymptotics	asymptotic	NOUN
ap-1277	153	24	of	of	ADP
ap-1277	153	25	the	the	DET
ap-1277	153	26	contours	contours	NOUN
ap-1277	153	27	change	change	VERB
ap-1277	153	28	.	.	PUNCT
ap-1277	154	1	as	as	ADP
ap-1277	154	2	a	a	DET
ap-1277	154	3	consequence	consequence	NOUN
ap-1277	154	4	,	,	PUNCT
ap-1277	154	5	also	also	ADV
ap-1277	154	6	the	the	DET
ap-1277	154	7	spectra	spectra	NOUN
ap-1277	154	8	of	of	ADP
ap-1277	154	9	the	the	DET
ap-1277	154	10	underlying	underlie	VERB
ap-1277	154	11	tobogganic	tobogganic	ADJ
ap-1277	154	12	quantum	quantum	ADJ
ap-1277	154	13	bound	bind	VERB
ap-1277	154	14	-	-	PUNCT
ap-1277	154	15	state	state	NOUN
ap-1277	154	16	hamiltonians	hamiltonian	NOUN
ap-1277	154	17	will	will	AUX
ap-1277	154	18	,	,	PUNCT
ap-1277	154	19	in	in	ADP
ap-1277	154	20	general	general	ADJ
ap-1277	154	21	,	,	PUNCT
ap-1277	154	22	be	be	AUX
ap-1277	154	23	changed	change	VERB
ap-1277	154	24	[	[	X
ap-1277	154	25	16	16	NUM
ap-1277	154	26	]	]	SYM
ap-1277	154	27	.	.	PUNCT
ap-1277	155	1	5	5	NUM
ap-1277	155	2	conclusions	conclusion	NOUN
ap-1277	155	3	we	we	PRON
ap-1277	155	4	have	have	AUX
ap-1277	155	5	confirmed	confirm	VERB
ap-1277	155	6	the	the	DET
ap-1277	155	7	viability	viability	NOUN
ap-1277	155	8	of	of	ADP
ap-1277	155	9	an	an	DET
ap-1277	155	10	innovated	innovate	VERB
ap-1277	155	11	,	,	PUNCT
ap-1277	155	12	“	"	PUNCT
ap-1277	155	13	tobogganic	tobogganic	ADJ
ap-1277	155	14	”	"	PUNCT
ap-1277	155	15	version	version	NOUN
ap-1277	155	16	of	of	ADP
ap-1277	155	17	pt	pt	X
ap-1277	155	18	-symmetric	-symmetric	ADJ
ap-1277	155	19	quantum	quantum	ADJ
ap-1277	155	20	mechanics	mechanic	NOUN
ap-1277	155	21	of	of	ADP
ap-1277	155	22	bound	bind	VERB
ap-1277	155	23	states	state	NOUN
ap-1277	155	24	in	in	ADP
ap-1277	155	25	models	model	NOUN
ap-1277	155	26	where	where	SCONJ
ap-1277	155	27	the	the	DET
ap-1277	155	28	general	general	ADJ
ap-1277	155	29	solutions	solution	NOUN
ap-1277	155	30	of	of	ADP
ap-1277	155	31	the	the	DET
ap-1277	155	32	underlying	underlie	VERB
ap-1277	155	33	ordinary	ordinary	ADJ
ap-1277	155	34	differential	differential	NOUN
ap-1277	155	35	schrödinger	schrödinger	NOUN
ap-1277	155	36	equation	equation	NOUN
ap-1277	155	37	exhibit	exhibit	VERB
ap-1277	155	38	two	two	NUM
ap-1277	155	39	branch	branch	NOUN
ap-1277	155	40	-	-	PUNCT
ap-1277	155	41	point	point	NOUN
ap-1277	155	42	singularities	singularity	NOUN
ap-1277	155	43	located	locate	VERB
ap-1277	155	44	,	,	PUNCT
ap-1277	155	45	conveniently	conveniently	ADV
ap-1277	155	46	,	,	PUNCT
ap-1277	155	47	at	at	ADP
ap-1277	155	48	x(bp	x(bp	X
ap-1277	155	49	)	)	PUNCT
ap-1277	155	50	=	=	PRON
ap-1277	155	51	±1	±1	VERB
ap-1277	155	52	.	.	PUNCT
ap-1277	156	1	in	in	ADP
ap-1277	156	2	particular	particular	ADJ
ap-1277	156	3	we	we	PRON
ap-1277	156	4	have	have	AUX
ap-1277	156	5	clarified	clarify	VERB
ap-1277	156	6	that	that	SCONJ
ap-1277	156	7	many	many	ADJ
ap-1277	156	8	topologically	topologically	ADV
ap-1277	156	9	complicated	complicated	ADJ
ap-1277	156	10	complex	complex	ADJ
ap-1277	156	11	integrations	integration	NOUN
ap-1277	156	12	contours	contours	NOUN
ap-1277	156	13	which	which	PRON
ap-1277	156	14	spiral	spiral	VERB
ap-1277	156	15	around	around	ADP
ap-1277	156	16	the	the	DET
ap-1277	156	17	branch	branch	NOUN
ap-1277	156	18	points	point	VERB
ap-1277	156	19	x(bp	x(bp	PROPN
ap-1277	156	20	)	)	PUNCT
ap-1277	156	21	in	in	ADP
ap-1277	156	22	various	various	ADJ
ap-1277	156	23	ways	way	NOUN
ap-1277	156	24	may	may	AUX
ap-1277	156	25	be	be	AUX
ap-1277	156	26	rectified	rectify	VERB
ap-1277	156	27	.	.	PUNCT
ap-1277	157	1	this	this	PRON
ap-1277	157	2	means	mean	VERB
ap-1277	157	3	that	that	SCONJ
ap-1277	157	4	one	one	PRON
ap-1277	157	5	can	can	AUX
ap-1277	157	6	apply	apply	VERB
ap-1277	157	7	an	an	DET
ap-1277	157	8	elementary	elementary	ADJ
ap-1277	157	9	change	change	NOUN
ap-1277	157	10	of	of	ADP
ap-1277	157	11	variables	variable	NOUN
ap-1277	157	12	z(s)→	z(s)→	NUM
ap-1277	157	13	x(s	x(s	PROPN
ap-1277	157	14	)	)	PUNCT
ap-1277	157	15	and	and	CCONJ
ap-1277	157	16	replace	replace	VERB
ap-1277	157	17	the	the	DET
ap-1277	157	18	complicated	complicate	VERB
ap-1277	157	19	original	original	ADJ
ap-1277	157	20	tobogganic	tobogganic	ADJ
ap-1277	157	21	quantum	quantum	ADJ
ap-1277	157	22	bound	bind	VERB
ap-1277	157	23	-	-	PUNCT
ap-1277	157	24	state	state	NOUN
ap-1277	157	25	problem	problem	NOUN
ap-1277	157	26	by	by	ADP
ap-1277	157	27	an	an	DET
ap-1277	157	28	equivalent	equivalent	ADJ
ap-1277	157	29	simplified	simplified	ADJ
ap-1277	157	30	differential	differential	ADJ
ap-1277	157	31	equation	equation	NOUN
ap-1277	157	32	defined	define	VERB
ap-1277	157	33	along	along	ADP
ap-1277	157	34	the	the	DET
ap-1277	157	35	straight	straight	ADJ
ap-1277	157	36	line	line	NOUN
ap-1277	157	37	of	of	ADP
ap-1277	157	38	complex	complex	ADJ
ap-1277	157	39	pseudocoordinates	pseudocoordinate	NOUN
ap-1277	157	40	z	z	NOUN
ap-1277	157	41	=	=	SYM
ap-1277	157	42	s	s	PART
ap-1277	157	43	−	−	NOUN
ap-1277	157	44	iε	iε	NOUN
ap-1277	157	45	.	.	PUNCT
ap-1277	158	1	in	in	ADP
ap-1277	158	2	detail	detail	NOUN
ap-1277	158	3	a	a	DET
ap-1277	158	4	few	few	ADJ
ap-1277	158	5	illustrative	illustrative	ADJ
ap-1277	158	6	rectifications	rectification	NOUN
ap-1277	158	7	have	have	AUX
ap-1277	158	8	been	be	AUX
ap-1277	158	9	described	describe	VERB
ap-1277	158	10	where	where	SCONJ
ap-1277	158	11	we	we	PRON
ap-1277	158	12	have	have	AUX
ap-1277	158	13	succeeded	succeed	VERB
ap-1277	158	14	in	in	ADP
ap-1277	158	15	assigning	assign	VERB
ap-1277	158	16	the	the	DET
ap-1277	158	17	89	89	NUM
ap-1277	158	18	acta	acta	PROPN
ap-1277	158	19	polytechnica	polytechnica	PROPN
ap-1277	158	20	vol	vol	NOUN
ap-1277	158	21	.	.	PROPN
ap-1277	159	1	50	50	NUM
ap-1277	159	2	no	no	NOUN
ap-1277	159	3	.	.	PUNCT
ap-1277	160	1	5/2010	5/2010	PRON
ap-1277	160	2	different	different	ADJ
ap-1277	160	3	winding	wind	VERB
ap-1277	160	4	descriptors	descriptor	NOUN
ap-1277	160	5	�	�	PROPN
ap-1277	160	6	to	to	ADP
ap-1277	160	7	the	the	DET
ap-1277	160	8	tobogganic	tobogganic	ADJ
ap-1277	160	9	contours	contours	NOUN
ap-1277	160	10	controlled	control	VERB
ap-1277	160	11	solely	solely	ADV
ap-1277	160	12	by	by	ADP
ap-1277	160	13	the	the	DET
ap-1277	160	14	variation	variation	NOUN
ap-1277	160	15	of	of	ADP
ap-1277	160	16	the	the	DET
ap-1277	160	17	“	"	PUNCT
ap-1277	160	18	initial	initial	ADJ
ap-1277	160	19	”	"	PUNCT
ap-1277	160	20	complex	complex	ADJ
ap-1277	160	21	shift	shift	NOUN
ap-1277	160	22	ε	ε	PROPN
ap-1277	160	23	.	.	PUNCT
ap-1277	161	1	an	an	DET
ap-1277	161	2	interesting	interesting	ADJ
ap-1277	161	3	supplementary	supplementary	ADJ
ap-1277	161	4	result	result	NOUN
ap-1277	161	5	of	of	ADP
ap-1277	161	6	our	our	PRON
ap-1277	161	7	present	present	ADJ
ap-1277	161	8	considerations	consideration	NOUN
ap-1277	161	9	may	may	AUX
ap-1277	161	10	be	be	AUX
ap-1277	161	11	seen	see	VERB
ap-1277	161	12	in	in	ADP
ap-1277	161	13	the	the	DET
ap-1277	161	14	constructive	constructive	ADJ
ap-1277	161	15	demonstration	demonstration	NOUN
ap-1277	161	16	of	of	ADP
ap-1277	161	17	the	the	DET
ap-1277	161	18	feasibility	feasibility	NOUN
ap-1277	161	19	of	of	ADP
ap-1277	161	20	an	an	DET
ap-1277	161	21	explicit	explicit	ADJ
ap-1277	161	22	description	description	NOUN
ap-1277	161	23	of	of	ADP
ap-1277	161	24	these	these	DET
ap-1277	161	25	transitions	transition	NOUN
ap-1277	161	26	between	between	ADP
ap-1277	161	27	topologically	topologically	ADV
ap-1277	161	28	non	non	ADJ
ap-1277	161	29	-	-	ADJ
ap-1277	161	30	equivalent	equivalent	ADJ
ap-1277	161	31	quantum	quantum	NOUN
ap-1277	161	32	toboggans	toboggan	NOUN
ap-1277	161	33	characterized	characterize	VERB
ap-1277	161	34	by	by	ADP
ap-1277	161	35	non	non	ADJ
ap-1277	161	36	-	-	ADJ
ap-1277	161	37	equivalent	equivalent	ADJ
ap-1277	161	38	winding	wind	VERB
ap-1277	161	39	descriptors	descriptor	NOUN
ap-1277	161	40	�	�	PROPN
ap-1277	161	41	.	.	PUNCT
ap-1277	162	1	nevertheless	nevertheless	ADV
ap-1277	162	2	,	,	PUNCT
ap-1277	162	3	a	a	DET
ap-1277	162	4	full	full	ADJ
ap-1277	162	5	understanding	understanding	NOUN
ap-1277	162	6	of	of	ADP
ap-1277	162	7	these	these	DET
ap-1277	162	8	structures	structure	NOUN
ap-1277	162	9	remains	remain	VERB
ap-1277	162	10	an	an	DET
ap-1277	162	11	open	open	ADJ
ap-1277	162	12	problem	problem	NOUN
ap-1277	162	13	recommended	recommend	VERB
ap-1277	162	14	for	for	ADP
ap-1277	162	15	deeper	deep	ADJ
ap-1277	162	16	analysis	analysis	NOUN
ap-1277	162	17	in	in	ADP
ap-1277	162	18	the	the	DET
ap-1277	162	19	nearest	near	ADJ
ap-1277	162	20	future	future	NOUN
ap-1277	162	21	.	.	PUNCT
ap-1277	163	1	in	in	ADP
ap-1277	163	2	summary	summary	NOUN
ap-1277	163	3	we	we	PRON
ap-1277	163	4	have	have	VERB
ap-1277	163	5	to	to	PART
ap-1277	163	6	emphasize	emphasize	VERB
ap-1277	163	7	that	that	SCONJ
ap-1277	163	8	our	our	PRON
ap-1277	163	9	present	present	ADJ
ap-1277	163	10	rectification	rectification	NOUN
ap-1277	163	11	-	-	PUNCT
ap-1277	163	12	mediated	mediate	VERB
ap-1277	163	13	reconstruction	reconstruction	NOUN
ap-1277	163	14	of	of	ADP
ap-1277	163	15	the	the	DET
ap-1277	163	16	ordinary	ordinary	ADJ
ap-1277	163	17	-	-	PUNCT
ap-1277	163	18	differential	differential	ADJ
ap-1277	163	19	-	-	PUNCT
ap-1277	163	20	equation	equation	NOUN
ap-1277	163	21	representation	representation	NOUN
ap-1277	163	22	of	of	ADP
ap-1277	163	23	quantum	quantum	ADJ
ap-1277	163	24	toboggans	toboggan	NOUN
ap-1277	163	25	can	can	AUX
ap-1277	163	26	be	be	AUX
ap-1277	163	27	perceived	perceive	VERB
ap-1277	163	28	as	as	ADP
ap-1277	163	29	an	an	DET
ap-1277	163	30	important	important	ADJ
ap-1277	163	31	step	step	NOUN
ap-1277	163	32	towards	towards	ADP
ap-1277	163	33	their	their	PRON
ap-1277	163	34	rigorous	rigorous	ADJ
ap-1277	163	35	mathematical	mathematical	ADJ
ap-1277	163	36	analysis	analysis	NOUN
ap-1277	163	37	and	and	CCONJ
ap-1277	163	38	,	,	PUNCT
ap-1277	163	39	in	in	ADP
ap-1277	163	40	particular	particular	ADJ
ap-1277	163	41	,	,	PUNCT
ap-1277	163	42	towards	towards	ADP
ap-1277	163	43	an	an	DET
ap-1277	163	44	extension	extension	NOUN
ap-1277	163	45	of	of	ADP
ap-1277	163	46	the	the	DET
ap-1277	163	47	existing	exist	VERB
ap-1277	163	48	rigorous	rigorous	ADJ
ap-1277	163	49	proofs	proof	NOUN
ap-1277	163	50	of	of	ADP
ap-1277	163	51	the	the	DET
ap-1277	163	52	reality	reality	NOUN
ap-1277	163	53	/	/	SYM
ap-1277	163	54	observability	observability	NOUN
ap-1277	163	55	of	of	ADP
ap-1277	163	56	the	the	DET
ap-1277	163	57	energy	energy	NOUN
ap-1277	163	58	spectra	spectra	NOUN
ap-1277	163	59	to	to	ADP
ap-1277	163	60	these	these	DET
ap-1277	163	61	promising	promise	VERB
ap-1277	163	62	innovative	innovative	ADJ
ap-1277	163	63	phenomenological	phenomenological	ADJ
ap-1277	163	64	models	model	NOUN
ap-1277	163	65	.	.	PUNCT
ap-1277	164	1	acknowledgement	acknowledgement	NOUN
ap-1277	164	2	support	support	NOUN
ap-1277	164	3	from	from	ADP
ap-1277	164	4	institutional	institutional	ADJ
ap-1277	164	5	research	research	NOUN
ap-1277	164	6	plan	plan	NOUN
ap-1277	164	7	av0z	av0z	PROPN
ap-1277	164	8	10480505	10480505	NUM
ap-1277	164	9	and	and	CCONJ
ap-1277	164	10	from	from	ADP
ap-1277	164	11	mšsmt	mšsmt	PROPN
ap-1277	164	12	doppler	doppler	NOUN
ap-1277	164	13	institute	institute	NOUN
ap-1277	164	14	project	project	NOUN
ap-1277	164	15	lc06002	lc06002	NOUN
ap-1277	164	16	is	be	AUX
ap-1277	164	17	acknowledged	acknowledge	VERB
ap-1277	164	18	.	.	PUNCT
ap-1277	165	1	references	reference	NOUN
ap-1277	165	2	[	[	X
ap-1277	165	3	1	1	NUM
ap-1277	165	4	]	]	PUNCT
ap-1277	165	5	flügge	flügge	NOUN
ap-1277	165	6	,	,	PUNCT
ap-1277	165	7	s.	s.	PROPN
ap-1277	165	8	:	:	PUNCT
ap-1277	165	9	practical	practical	ADJ
ap-1277	165	10	quantum	quantum	ADJ
ap-1277	165	11	mechanics	mechanic	NOUN
ap-1277	165	12	i	i	PRON
ap-1277	165	13	,	,	PUNCT
ap-1277	165	14	ii	ii	PROPN
ap-1277	165	15	.	.	PUNCT
ap-1277	166	1	berlin	berlin	PROPN
ap-1277	166	2	,	,	PUNCT
ap-1277	166	3	springer	springer	NOUN
ap-1277	166	4	,	,	PUNCT
ap-1277	166	5	1971	1971	NUM
ap-1277	166	6	.	.	PUNCT
ap-1277	167	1	[	[	X
ap-1277	167	2	2	2	NUM
ap-1277	167	3	]	]	X
ap-1277	167	4	znojil	znojil	NOUN
ap-1277	167	5	,	,	PUNCT
ap-1277	167	6	m.	m.	NOUN
ap-1277	167	7	:	:	PUNCT
ap-1277	167	8	experiments	experiment	NOUN
ap-1277	167	9	in	in	ADP
ap-1277	167	10	pt	pt	ADJ
ap-1277	167	11	-	-	ADJ
ap-1277	167	12	symmetric	symmetric	ADJ
ap-1277	167	13	quantum	quantum	NOUN
ap-1277	167	14	mechanics	mechanic	NOUN
ap-1277	167	15	,	,	PUNCT
ap-1277	167	16	czech	czech	PROPN
ap-1277	167	17	.	.	PUNCT
ap-1277	168	1	j.	j.	PROPN
ap-1277	168	2	phys	phys	PROPN
ap-1277	168	3	.	.	PUNCT
ap-1277	169	1	vol	vol	NOUN
ap-1277	169	2	.	.	PUNCT
ap-1277	170	1	54	54	NUM
ap-1277	170	2	(	(	PUNCT
ap-1277	170	3	2004	2004	NUM
ap-1277	170	4	)	)	PUNCT
ap-1277	170	5	,	,	PUNCT
ap-1277	171	1	p.	p.	NOUN
ap-1277	171	2	151–156	151–156	NUM
ap-1277	171	3	(	(	PUNCT
ap-1277	171	4	quant	quant	NOUN
ap-1277	171	5	-	-	PUNCT
ap-1277	171	6	ph/0309100v2	ph/0309100v2	NOUN
ap-1277	171	7	)	)	PUNCT
ap-1277	171	8	.	.	PUNCT
ap-1277	172	1	[	[	X
ap-1277	172	2	3	3	NUM
ap-1277	172	3	]	]	X
ap-1277	172	4	znojil	znojil	NOUN
ap-1277	172	5	,	,	PUNCT
ap-1277	172	6	m.	m.	NOUN
ap-1277	172	7	:	:	PUNCT
ap-1277	172	8	one	one	NUM
ap-1277	172	9	-	-	PUNCT
ap-1277	172	10	dimensional	dimensional	ADJ
ap-1277	172	11	schrödinger	schrödinger	NOUN
ap-1277	172	12	equation	equation	NOUN
ap-1277	172	13	and	and	CCONJ
ap-1277	172	14	its	its	PRON
ap-1277	172	15	“	"	PUNCT
ap-1277	172	16	exact	exact	ADJ
ap-1277	172	17	”	"	PUNCT
ap-1277	172	18	representation	representation	NOUN
ap-1277	172	19	on	on	ADP
ap-1277	172	20	a	a	DET
ap-1277	172	21	discrete	discrete	ADJ
ap-1277	172	22	lattice	lattice	NOUN
ap-1277	172	23	,	,	PUNCT
ap-1277	172	24	phys	phy	NOUN
ap-1277	172	25	.	.	PUNCT
ap-1277	173	1	lett	lett	PROPN
ap-1277	173	2	.	.	PUNCT
ap-1277	174	1	vol	vol	NOUN
ap-1277	174	2	.	.	PUNCT
ap-1277	175	1	a	a	DET
ap-1277	175	2	223	223	NUM
ap-1277	175	3	(	(	PUNCT
ap-1277	175	4	1996	1996	NUM
ap-1277	175	5	)	)	PUNCT
ap-1277	175	6	,	,	PUNCT
ap-1277	175	7	p.	p.	NOUN
ap-1277	175	8	411–416	411–416	NUM
ap-1277	175	9	.	.	PUNCT
ap-1277	176	1	[	[	X
ap-1277	176	2	4	4	NUM
ap-1277	176	3	]	]	X
ap-1277	176	4	bender	bender	NOUN
ap-1277	176	5	,	,	PUNCT
ap-1277	176	6	c.	c.	PROPN
ap-1277	176	7	m.	m.	PROPN
ap-1277	176	8	,	,	PUNCT
ap-1277	176	9	turbiner	turbiner	NOUN
ap-1277	176	10	,	,	PUNCT
ap-1277	176	11	a.	a.	NOUN
ap-1277	176	12	v.	v.	PROPN
ap-1277	176	13	:	:	PUNCT
ap-1277	176	14	analytic	analytic	ADJ
ap-1277	176	15	continuation	continuation	NOUN
ap-1277	176	16	of	of	ADP
ap-1277	176	17	eigenvalue	eigenvalue	PROPN
ap-1277	176	18	problems	problem	NOUN
ap-1277	176	19	,	,	PUNCT
ap-1277	176	20	phys	phy	NOUN
ap-1277	176	21	.	.	PUNCT
ap-1277	177	1	lett	lett	PROPN
ap-1277	177	2	.	.	PUNCT
ap-1277	178	1	vol	vol	NOUN
ap-1277	178	2	.	.	PUNCT
ap-1277	179	1	a	a	DET
ap-1277	179	2	173	173	NUM
ap-1277	179	3	(	(	PUNCT
ap-1277	179	4	1993	1993	NUM
ap-1277	179	5	)	)	PUNCT
ap-1277	179	6	,	,	PUNCT
ap-1277	179	7	p.	p.	NOUN
ap-1277	179	8	442–445	442–445	NUM
ap-1277	179	9	.	.	PUNCT
ap-1277	180	1	[	[	X
ap-1277	180	2	5	5	NUM
ap-1277	180	3	]	]	PUNCT
ap-1277	180	4	buslaev	buslaev	NOUN
ap-1277	180	5	,	,	PUNCT
ap-1277	180	6	v.	v.	PROPN
ap-1277	180	7	,	,	PUNCT
ap-1277	180	8	grechi	grechi	ADJ
ap-1277	180	9	,	,	PUNCT
ap-1277	180	10	v.	v.	ADV
ap-1277	180	11	:	:	PUNCT
ap-1277	180	12	equivalence	equivalence	NOUN
ap-1277	180	13	of	of	ADP
ap-1277	180	14	unstable	unstable	ADJ
ap-1277	180	15	anharmonic	anharmonic	ADJ
ap-1277	180	16	oscillators	oscillator	NOUN
ap-1277	180	17	and	and	CCONJ
ap-1277	180	18	double	double	ADJ
ap-1277	180	19	wells	well	NOUN
ap-1277	180	20	,	,	PUNCT
ap-1277	180	21	j.	j.	PROPN
ap-1277	180	22	phys	phys	PROPN
ap-1277	180	23	.	.	PUNCT
ap-1277	181	1	a	a	DET
ap-1277	181	2	:	:	PUNCT
ap-1277	181	3	math	math	NOUN
ap-1277	181	4	.	.	PUNCT
ap-1277	182	1	gen	gen	PROPN
ap-1277	182	2	.	.	PROPN
ap-1277	182	3	vol	vol	NOUN
ap-1277	182	4	.	.	PROPN
ap-1277	182	5	26	26	NUM
ap-1277	182	6	(	(	PUNCT
ap-1277	182	7	1993	1993	NUM
ap-1277	182	8	)	)	PUNCT
ap-1277	182	9	,	,	PUNCT
ap-1277	182	10	p.	p.	NOUN
ap-1277	182	11	5	5	NUM
ap-1277	182	12	541–5	541–5	NUM
ap-1277	182	13	549	549	NUM
ap-1277	182	14	.	.	PUNCT
ap-1277	183	1	[	[	X
ap-1277	183	2	6	6	NUM
ap-1277	183	3	]	]	X
ap-1277	183	4	bender	bender	NOUN
ap-1277	183	5	,	,	PUNCT
ap-1277	183	6	c.	c.	PROPN
ap-1277	183	7	m.	m.	PROPN
ap-1277	183	8	,	,	PUNCT
ap-1277	183	9	boettcher	boettcher	PROPN
ap-1277	183	10	,	,	PUNCT
ap-1277	183	11	s.	s.	PROPN
ap-1277	183	12	:	:	PUNCT
ap-1277	183	13	real	real	ADJ
ap-1277	183	14	spectra	spectra	NOUN
ap-1277	183	15	in	in	ADP
ap-1277	183	16	non	non	ADJ
ap-1277	183	17	-	-	ADJ
ap-1277	183	18	hermitian	hermitian	ADJ
ap-1277	183	19	hamiltonians	hamiltonian	NOUN
ap-1277	183	20	having	have	VERB
ap-1277	183	21	pt	pt	PROPN
ap-1277	183	22	symmetry	symmetry	NOUN
ap-1277	183	23	,	,	PUNCT
ap-1277	183	24	phys	phy	NOUN
ap-1277	183	25	.	.	PUNCT
ap-1277	184	1	rev	rev	PROPN
ap-1277	184	2	.	.	PROPN
ap-1277	184	3	lett	lett	PROPN
ap-1277	184	4	.	.	PUNCT
ap-1277	185	1	vol	vol	NOUN
ap-1277	185	2	.	.	PROPN
ap-1277	186	1	80	80	NUM
ap-1277	186	2	(	(	PUNCT
ap-1277	186	3	1998	1998	NUM
ap-1277	186	4	)	)	PUNCT
ap-1277	186	5	,	,	PUNCT
ap-1277	187	1	p.	p.	NOUN
ap-1277	187	2	5	5	NUM
ap-1277	187	3	243–5	243–5	NUM
ap-1277	187	4	246	246	NUM
ap-1277	187	5	;	;	PUNCT
ap-1277	187	6	bender	bender	NOUN
ap-1277	187	7	,	,	PUNCT
ap-1277	187	8	c.	c.	PROPN
ap-1277	187	9	m.	m.	NOUN
ap-1277	187	10	,	,	PUNCT
ap-1277	187	11	boettcher	boettcher	PROPN
ap-1277	187	12	,	,	PUNCT
ap-1277	187	13	s.	s.	PROPN
ap-1277	187	14	,	,	PUNCT
ap-1277	187	15	meisinger	meisinger	NOUN
ap-1277	187	16	,	,	PUNCT
ap-1277	187	17	p.	p.	PROPN
ap-1277	187	18	n.	n.	NOUN
ap-1277	187	19	:	:	PUNCT
ap-1277	187	20	pt	pt	ADJ
ap-1277	187	21	-	-	ADJ
ap-1277	187	22	symmetric	symmetric	ADJ
ap-1277	187	23	quantum	quantum	NOUN
ap-1277	187	24	mechanics	mechanic	NOUN
ap-1277	187	25	,	,	PUNCT
ap-1277	187	26	j.	j.	PROPN
ap-1277	187	27	math	math	PROPN
ap-1277	187	28	.	.	PUNCT
ap-1277	188	1	phys	phy	NOUN
ap-1277	188	2	.	.	PUNCT
ap-1277	189	1	vol	vol	NOUN
ap-1277	189	2	.	.	PROPN
ap-1277	190	1	40	40	NUM
ap-1277	190	2	(	(	PUNCT
ap-1277	190	3	1999	1999	NUM
ap-1277	190	4	)	)	PUNCT
ap-1277	190	5	,	,	PUNCT
ap-1277	190	6	p.	p.	NOUN
ap-1277	190	7	2	2	NUM
ap-1277	190	8	201	201	NUM
ap-1277	190	9	.	.	PUNCT
ap-1277	191	1	[	[	X
ap-1277	191	2	7	7	NUM
ap-1277	191	3	]	]	X
ap-1277	191	4	znojil	znojil	NOUN
ap-1277	191	5	,	,	PUNCT
ap-1277	191	6	m.	m.	NOUN
ap-1277	191	7	:	:	PUNCT
ap-1277	191	8	pt	pt	ADJ
ap-1277	191	9	-	-	ADJ
ap-1277	191	10	symmetric	symmetric	ADJ
ap-1277	191	11	quantum	quantum	NOUN
ap-1277	191	12	toboggans	toboggan	NOUN
ap-1277	191	13	,	,	PUNCT
ap-1277	191	14	phys	phy	NOUN
ap-1277	191	15	.	.	PUNCT
ap-1277	192	1	lett	lett	PROPN
ap-1277	192	2	.	.	PUNCT
ap-1277	193	1	vol	vol	NOUN
ap-1277	193	2	.	.	PUNCT
ap-1277	194	1	a	a	DET
ap-1277	194	2	342	342	NUM
ap-1277	194	3	(	(	PUNCT
ap-1277	194	4	2005	2005	NUM
ap-1277	194	5	)	)	PUNCT
ap-1277	194	6	,	,	PUNCT
ap-1277	194	7	p.	p.	NOUN
ap-1277	194	8	36–47	36–47	NUM
ap-1277	194	9	.	.	PUNCT
ap-1277	195	1	[	[	X
ap-1277	195	2	8	8	NUM
ap-1277	195	3	]	]	PUNCT
ap-1277	195	4	weideman	weideman	NOUN
ap-1277	195	5	,	,	PUNCT
ap-1277	195	6	j.	j.	PROPN
ap-1277	195	7	a.	a.	PROPN
ap-1277	195	8	c.	c.	PROPN
ap-1277	195	9	:	:	PUNCT
ap-1277	195	10	spectral	spectral	ADJ
ap-1277	195	11	differentiation	differentiation	NOUN
ap-1277	195	12	matrices	matrix	NOUN
ap-1277	195	13	for	for	ADP
ap-1277	195	14	the	the	DET
ap-1277	195	15	numerical	numerical	ADJ
ap-1277	195	16	solutions	solution	NOUN
ap-1277	195	17	of	of	ADP
ap-1277	195	18	schrödinger	schrödinger	NOUN
ap-1277	195	19	equation	equation	NOUN
ap-1277	195	20	,	,	PUNCT
ap-1277	195	21	j.	j.	PROPN
ap-1277	195	22	phys	phys	PROPN
ap-1277	195	23	.	.	PUNCT
ap-1277	196	1	a	a	DET
ap-1277	196	2	:	:	PUNCT
ap-1277	196	3	math	math	NOUN
ap-1277	196	4	.	.	PUNCT
ap-1277	197	1	gen.vol	gen.vol	X
ap-1277	197	2	.	.	PUNCT
ap-1277	197	3	39	39	NUM
ap-1277	197	4	(	(	PUNCT
ap-1277	197	5	2006	2006	NUM
ap-1277	197	6	)	)	PUNCT
ap-1277	197	7	,	,	PUNCT
ap-1277	197	8	p.	p.	NOUN
ap-1277	197	9	10	10	NUM
ap-1277	197	10	229–10238	229–10238	NUM
ap-1277	197	11	.	.	PUNCT
ap-1277	198	1	[	[	X
ap-1277	198	2	9	9	NUM
ap-1277	198	3	]	]	PUNCT
ap-1277	198	4	bı́la	bı́la	NOUN
ap-1277	198	5	,	,	PUNCT
ap-1277	198	6	h.	h.	PROPN
ap-1277	198	7	:	:	PUNCT
ap-1277	198	8	non	non	ADJ
ap-1277	198	9	-	-	ADJ
ap-1277	198	10	hermitian	hermitian	ADJ
ap-1277	198	11	operators	operator	NOUN
ap-1277	198	12	in	in	ADP
ap-1277	198	13	quantum	quantum	ADJ
ap-1277	198	14	physics	physics	NOUN
ap-1277	198	15	(	(	PUNCT
ap-1277	198	16	phd	phd	NOUN
ap-1277	198	17	thesis	thesis	NOUN
ap-1277	198	18	supervised	supervise	VERB
ap-1277	198	19	by	by	ADP
ap-1277	198	20	m.	m.	NOUN
ap-1277	198	21	znojil	znojil	PROPN
ap-1277	198	22	)	)	PUNCT
ap-1277	198	23	.	.	PUNCT
ap-1277	199	1	prague	prague	PROPN
ap-1277	199	2	,	,	PUNCT
ap-1277	199	3	charles	charles	PROPN
ap-1277	199	4	university	university	PROPN
ap-1277	199	5	,	,	PUNCT
ap-1277	199	6	2008	2008	NUM
ap-1277	199	7	;	;	PUNCT
ap-1277	199	8	bı́la	bı́la	PROPN
ap-1277	199	9	,	,	PUNCT
ap-1277	199	10	h.	h.	PROPN
ap-1277	199	11	:	:	PUNCT
ap-1277	199	12	pramana	pramana	PROPN
ap-1277	199	13	,	,	PUNCT
ap-1277	199	14	j.	j.	PROPN
ap-1277	199	15	phys	phys	PROPN
ap-1277	199	16	.	.	PUNCT
ap-1277	200	1	vol	vol	NOUN
ap-1277	200	2	.	.	PUNCT
ap-1277	201	1	73	73	NUM
ap-1277	201	2	(	(	PUNCT
ap-1277	201	3	2009	2009	NUM
ap-1277	201	4	)	)	PUNCT
ap-1277	201	5	,	,	PUNCT
ap-1277	202	1	p.	p.	NOUN
ap-1277	202	2	307–314	307–314	NUM
ap-1277	202	3	.	.	PUNCT
ap-1277	203	1	[	[	X
ap-1277	203	2	10	10	NUM
ap-1277	203	3	]	]	X
ap-1277	203	4	wessels	wessels	PROPN
ap-1277	203	5	,	,	PUNCT
ap-1277	203	6	g.	g.	PROPN
ap-1277	203	7	j.	j.	PROPN
ap-1277	203	8	c.	c.	PROPN
ap-1277	203	9	:	:	PUNCT
ap-1277	203	10	a	a	DET
ap-1277	203	11	numerical	numerical	ADJ
ap-1277	203	12	and	and	CCONJ
ap-1277	203	13	analytical	analytical	ADJ
ap-1277	203	14	investigation	investigation	NOUN
ap-1277	203	15	into	into	ADP
ap-1277	203	16	non	non	ADJ
ap-1277	203	17	-	-	ADJ
ap-1277	203	18	hermitian	hermitian	ADJ
ap-1277	203	19	hamiltonians	hamiltonian	NOUN
ap-1277	203	20	(	(	PUNCT
ap-1277	203	21	master	master	NOUN
ap-1277	203	22	-	-	PUNCT
ap-1277	203	23	degree	degree	NOUN
ap-1277	203	24	thesis	thesis	NOUN
ap-1277	203	25	supervised	supervise	VERB
ap-1277	203	26	by	by	ADP
ap-1277	203	27	h.	h.	PROPN
ap-1277	203	28	b.	b.	PROPN
ap-1277	203	29	geyer	geyer	PROPN
ap-1277	203	30	and	and	CCONJ
ap-1277	203	31	j.	j.	PROPN
ap-1277	203	32	a.	a.	PROPN
ap-1277	203	33	c.	c.	PROPN
ap-1277	203	34	weideman	weideman	NOUN
ap-1277	203	35	)	)	PUNCT
ap-1277	203	36	.	.	PUNCT
ap-1277	204	1	stellenbosch	stellenbosch	PROPN
ap-1277	204	2	,	,	PUNCT
ap-1277	204	3	university	university	PROPN
ap-1277	204	4	of	of	ADP
ap-1277	204	5	stellenbosch	stellenbosch	PROPN
ap-1277	204	6	,	,	PUNCT
ap-1277	204	7	2008	2008	NUM
ap-1277	204	8	.	.	PUNCT
ap-1277	205	1	[	[	X
ap-1277	205	2	11	11	NUM
ap-1277	205	3	]	]	X
ap-1277	205	4	see	see	NOUN
ap-1277	205	5	,	,	PUNCT
ap-1277	205	6	e.g.	e.g.	ADV
ap-1277	205	7	,	,	PUNCT
ap-1277	205	8	“	"	PUNCT
ap-1277	205	9	branch	branch	NOUN
ap-1277	205	10	point	point	NOUN
ap-1277	205	11	”	"	PUNCT
ap-1277	205	12	in	in	ADP
ap-1277	205	13	http://eom.springer.de	http://eom.springer.de	PROPN
ap-1277	205	14	.	.	PUNCT
ap-1277	206	1	[	[	X
ap-1277	206	2	12	12	NUM
ap-1277	206	3	]	]	X
ap-1277	206	4	znojil	znojil	NOUN
ap-1277	206	5	,	,	PUNCT
ap-1277	206	6	m.	m.	NOUN
ap-1277	206	7	:	:	PUNCT
ap-1277	206	8	quantum	quantum	NOUN
ap-1277	206	9	toboggans	toboggan	NOUN
ap-1277	206	10	with	with	ADP
ap-1277	206	11	two	two	NUM
ap-1277	206	12	branch	branch	NOUN
ap-1277	206	13	points	point	NOUN
ap-1277	206	14	.	.	PUNCT
ap-1277	207	1	phys	phy	NOUN
ap-1277	207	2	.	.	PUNCT
ap-1277	208	1	lett	lett	PROPN
ap-1277	208	2	.	.	PUNCT
ap-1277	209	1	vol	vol	NOUN
ap-1277	209	2	.	.	PUNCT
ap-1277	210	1	a	a	DET
ap-1277	210	2	372	372	NUM
ap-1277	210	3	(	(	PUNCT
ap-1277	210	4	2008	2008	NUM
ap-1277	210	5	)	)	PUNCT
ap-1277	210	6	,	,	PUNCT
ap-1277	211	1	p.	p.	NOUN
ap-1277	211	2	584–590	584–590	NUM
ap-1277	211	3	(	(	PUNCT
ap-1277	211	4	arxiv	arxiv	NOUN
ap-1277	211	5	:	:	PUNCT
ap-1277	211	6	0708.0087	0708.0087	ADJ
ap-1277	211	7	)	)	PUNCT
ap-1277	211	8	.	.	PUNCT
ap-1277	212	1	[	[	X
ap-1277	212	2	13	13	NUM
ap-1277	212	3	]	]	SYM
ap-1277	212	4	novotný	novotný	NOUN
ap-1277	212	5	,	,	PUNCT
ap-1277	212	6	j.	j.	PROPN
ap-1277	212	7	:	:	PUNCT
ap-1277	212	8	http://demonstrations.wolfram.com/	http://demonstrations.wolfram.com/	NOUN
ap-1277	212	9	thequantumtobogganicpaths	thequantumtobogganicpath	NOUN
ap-1277	212	10	.	.	PUNCT
ap-1277	213	1	[	[	X
ap-1277	213	2	14	14	NUM
ap-1277	213	3	]	]	X
ap-1277	213	4	znojil	znojil	NOUN
ap-1277	213	5	,	,	PUNCT
ap-1277	213	6	m.	m.	NOUN
ap-1277	213	7	:	:	PUNCT
ap-1277	213	8	spiked	spiked	ADJ
ap-1277	213	9	potentials	potential	NOUN
ap-1277	213	10	and	and	CCONJ
ap-1277	213	11	quantum	quantum	NOUN
ap-1277	213	12	toboggans	toboggan	NOUN
ap-1277	213	13	.	.	PUNCT
ap-1277	214	1	j.	j.	PROPN
ap-1277	214	2	phys	phys	PROPN
ap-1277	214	3	.	.	PUNCT
ap-1277	215	1	a	a	DET
ap-1277	215	2	:	:	PUNCT
ap-1277	215	3	math	math	NOUN
ap-1277	215	4	.	.	PUNCT
ap-1277	216	1	gen	gen	PROPN
ap-1277	216	2	.	.	PROPN
ap-1277	216	3	vol	vol	NOUN
ap-1277	216	4	.	.	PROPN
ap-1277	217	1	39	39	NUM
ap-1277	217	2	(	(	PUNCT
ap-1277	217	3	2006	2006	NUM
ap-1277	217	4	)	)	PUNCT
ap-1277	217	5	,	,	PUNCT
ap-1277	218	1	p.	p.	NOUN
ap-1277	218	2	13	13	NUM
ap-1277	218	3	325–13336	325–13336	NUM
ap-1277	218	4	(	(	PUNCT
ap-1277	218	5	quant	quant	NOUN
ap-1277	218	6	-	-	PUNCT
ap-1277	218	7	ph/0606166v2	ph/0606166v2	NOUN
ap-1277	218	8	)	)	PUNCT
ap-1277	218	9	;	;	PUNCT
ap-1277	218	10	znojil	znojil	NOUN
ap-1277	218	11	,	,	PUNCT
ap-1277	218	12	m.	m.	NOUN
ap-1277	218	13	:	:	PUNCT
ap-1277	218	14	identification	identification	NOUN
ap-1277	218	15	of	of	ADP
ap-1277	218	16	observables	observable	NOUN
ap-1277	218	17	in	in	ADP
ap-1277	218	18	quantum	quantum	NOUN
ap-1277	218	19	toboggans	toboggan	NOUN
ap-1277	218	20	.	.	PUNCT
ap-1277	219	1	j.	j.	PROPN
ap-1277	219	2	phys	phys	PROPN
ap-1277	219	3	.	.	PUNCT
ap-1277	220	1	a	a	DET
ap-1277	220	2	:	:	PUNCT
ap-1277	220	3	math	math	NOUN
ap-1277	220	4	.	.	PUNCT
ap-1277	221	1	theor	theor	PROPN
ap-1277	221	2	.	.	PUNCT
ap-1277	222	1	vol	vol	NOUN
ap-1277	222	2	.	.	PUNCT
ap-1277	223	1	41	41	NUM
ap-1277	223	2	(	(	PUNCT
ap-1277	223	3	2008	2008	NUM
ap-1277	223	4	)	)	PUNCT
ap-1277	223	5	,	,	PUNCT
ap-1277	223	6	p.	p.	NOUN
ap-1277	223	7	215	215	NUM
ap-1277	223	8	304	304	NUM
ap-1277	223	9	(	(	PUNCT
ap-1277	223	10	arxiv:0803.0403	arxiv:0803.0403	NOUN
ap-1277	223	11	)	)	PUNCT
ap-1277	223	12	;	;	PUNCT
ap-1277	223	13	znojil	znojil	NOUN
ap-1277	223	14	,	,	PUNCT
ap-1277	223	15	m.	m.	NOUN
ap-1277	223	16	:	:	PUNCT
ap-1277	223	17	quantum	quantum	NOUN
ap-1277	223	18	toboggans	toboggan	NOUN
ap-1277	223	19	:	:	PUNCT
ap-1277	223	20	models	model	NOUN
ap-1277	223	21	exhibiting	exhibit	VERB
ap-1277	223	22	a	a	DET
ap-1277	223	23	multisheeted	multisheeted	ADJ
ap-1277	223	24	pt	pt	NOUN
ap-1277	223	25	symmetry	symmetry	NOUN
ap-1277	223	26	.	.	PUNCT
ap-1277	224	1	j.	j.	PROPN
ap-1277	224	2	phys	phys	PROPN
ap-1277	224	3	.	.	PUNCT
ap-1277	224	4	:	:	PUNCT
ap-1277	225	1	conference	conference	NOUN
ap-1277	225	2	series	series	NOUN
ap-1277	225	3	,	,	PUNCT
ap-1277	225	4	vol	vol	NOUN
ap-1277	225	5	.	.	PROPN
ap-1277	225	6	128	128	NUM
ap-1277	225	7	(	(	PUNCT
ap-1277	225	8	2008	2008	NUM
ap-1277	225	9	)	)	PUNCT
ap-1277	225	10	,	,	PUNCT
ap-1277	225	11	p.	p.	NOUN
ap-1277	225	12	012	012	NUM
ap-1277	225	13	046	046	NUM
ap-1277	225	14	;	;	PUNCT
ap-1277	225	15	znojil	znojil	NOUN
ap-1277	225	16	,	,	PUNCT
ap-1277	225	17	m.	m.	NOUN
ap-1277	225	18	,	,	PUNCT
ap-1277	225	19	geyer	geyer	PROPN
ap-1277	225	20	,	,	PUNCT
ap-1277	225	21	h.	h.	PROPN
ap-1277	225	22	b.	b.	PROPN
ap-1277	225	23	:	:	PUNCT
ap-1277	225	24	sturm	sturm	PROPN
ap-1277	225	25	-	-	PUNCT
ap-1277	225	26	schroedinger	schroedinger	PROPN
ap-1277	225	27	equations	equation	NOUN
ap-1277	225	28	:	:	PUNCT
ap-1277	225	29	formula	formula	NOUN
ap-1277	225	30	for	for	ADP
ap-1277	225	31	metric	metric	NOUN
ap-1277	225	32	.	.	PUNCT
ap-1277	226	1	pramana	pramana	PROPN
ap-1277	226	2	j.	j.	PROPN
ap-1277	226	3	phys	phys	PROPN
ap-1277	226	4	.	.	PUNCT
ap-1277	227	1	vol	vol	NOUN
ap-1277	227	2	.	.	PUNCT
ap-1277	228	1	73	73	NUM
ap-1277	228	2	(	(	PUNCT
ap-1277	228	3	2009	2009	NUM
ap-1277	228	4	)	)	PUNCT
ap-1277	228	5	,	,	PUNCT
ap-1277	229	1	p.	p.	NOUN
ap-1277	229	2	299–306	299–306	NUM
ap-1277	229	3	(	(	PUNCT
ap-1277	229	4	arxiv:0904.2293	arxiv:0904.2293	NOUN
ap-1277	229	5	)	)	PUNCT
ap-1277	229	6	.	.	PUNCT
ap-1277	230	1	[	[	X
ap-1277	230	2	15	15	NUM
ap-1277	230	3	]	]	X
ap-1277	230	4	sinha	sinha	NOUN
ap-1277	230	5	,	,	PUNCT
ap-1277	230	6	a.	a.	PROPN
ap-1277	230	7	,	,	PUNCT
ap-1277	230	8	roy	roy	PROPN
ap-1277	230	9	,	,	PUNCT
ap-1277	230	10	p.	p.	NOUN
ap-1277	230	11	:	:	PUNCT
ap-1277	230	12	generation	generation	NOUN
ap-1277	230	13	of	of	ADP
ap-1277	230	14	exactly	exactly	ADV
ap-1277	230	15	solvable	solvable	ADJ
ap-1277	230	16	non	non	ADJ
ap-1277	230	17	-	-	ADJ
ap-1277	230	18	hermitian	hermitian	ADJ
ap-1277	230	19	potentials	potential	NOUN
ap-1277	230	20	with	with	ADP
ap-1277	230	21	real	real	ADJ
ap-1277	230	22	energies	energy	NOUN
ap-1277	230	23	.	.	PUNCT
ap-1277	231	1	czech	czech	PROPN
ap-1277	231	2	.	.	PUNCT
ap-1277	232	1	j.	j.	PROPN
ap-1277	232	2	phys	phys	PROPN
ap-1277	232	3	.	.	PUNCT
ap-1277	233	1	vol	vol	NOUN
ap-1277	233	2	.	.	PUNCT
ap-1277	234	1	54	54	NUM
ap-1277	234	2	(	(	PUNCT
ap-1277	234	3	2004	2004	NUM
ap-1277	234	4	)	)	PUNCT
ap-1277	234	5	,	,	PUNCT
ap-1277	235	1	p.	p.	NOUN
ap-1277	235	2	129–138	129–138	NUM
ap-1277	235	3	.	.	PUNCT
ap-1277	236	1	[	[	X
ap-1277	236	2	16	16	NUM
ap-1277	236	3	]	]	X
ap-1277	236	4	znojil	znojil	NOUN
ap-1277	236	5	,	,	PUNCT
ap-1277	236	6	m.	m.	NOUN
ap-1277	236	7	:	:	PUNCT
ap-1277	236	8	topology	topology	NOUN
ap-1277	236	9	-	-	PUNCT
ap-1277	236	10	controlled	control	VERB
ap-1277	236	11	spectra	spectra	NOUN
ap-1277	236	12	of	of	ADP
ap-1277	236	13	imaginary	imaginary	ADJ
ap-1277	236	14	cubic	cubic	ADJ
ap-1277	236	15	oscillators	oscillator	NOUN
ap-1277	236	16	in	in	ADP
ap-1277	236	17	the	the	DET
ap-1277	236	18	large	large	ADJ
ap-1277	236	19	-	-	PUNCT
ap-1277	236	20	l	l	NOUN
ap-1277	236	21	approach	approach	NOUN
ap-1277	236	22	.	.	PUNCT
ap-1277	237	1	phys	phy	NOUN
ap-1277	237	2	.	.	PUNCT
ap-1277	238	1	lett	lett	PROPN
ap-1277	238	2	.	.	PUNCT
ap-1277	239	1	vol	vol	NOUN
ap-1277	239	2	.	.	PUNCT
ap-1277	240	1	a	a	DET
ap-1277	240	2	374	374	NUM
ap-1277	240	3	(	(	PUNCT
ap-1277	240	4	2010	2010	NUM
ap-1277	240	5	)	)	PUNCT
ap-1277	240	6	,	,	PUNCT
ap-1277	240	7	p.	p.	NOUN
ap-1277	240	8	807	807	NUM
ap-1277	241	1	812	812	NUM
ap-1277	241	2	(	(	PUNCT
ap-1277	241	3	arxiv:0912.1176v1	arxiv:0912.1176v1	NOUN
ap-1277	241	4	)	)	PUNCT
ap-1277	241	5	.	.	PUNCT
ap-1277	242	1	prom	prom	PROPN
ap-1277	242	2	.	.	PUNCT
ap-1277	243	1	fyz	fyz	PROPN
ap-1277	243	2	.	.	PUNCT
ap-1277	244	1	miloslav	miloslav	PROPN
ap-1277	244	2	znojil	znojil	PROPN
ap-1277	244	3	,	,	PUNCT
ap-1277	244	4	drsc	drsc	PROPN
ap-1277	244	5	.	.	PUNCT
ap-1277	245	1	e	e	X
ap-1277	245	2	-	-	NOUN
ap-1277	245	3	mail	mail	NOUN
ap-1277	245	4	:	:	PUNCT
ap-1277	245	5	znojil@ujf.cas.cz	znojil@ujf.cas.cz	PROPN
ap-1277	245	6	nuclear	nuclear	PROPN
ap-1277	245	7	physics	physics	PROPN
ap-1277	245	8	institute	institute	PROPN
ap-1277	245	9	ascr	ascr	NOUN
ap-1277	245	10	250	250	NUM
ap-1277	245	11	68	68	NUM
ap-1277	245	12	řež	řež	NOUN
ap-1277	245	13	,	,	PUNCT
ap-1277	245	14	czech	czech	PROPN
ap-1277	245	15	republic	republic	NOUN
ap-1277	245	16	90	90	NUM