id	sid	tid	token	lemma	pos
ejpam-750	1	1	1_750_naika.dvi	1_750_naika.dvi	NUM
ejpam-750	1	2	european	european	PROPN
ejpam-750	1	3	journal	journal	PROPN
ejpam-750	1	4	of	of	ADP
ejpam-750	1	5	pure	pure	ADJ
ejpam-750	1	6	and	and	CCONJ
ejpam-750	1	7	applied	apply	VERB
ejpam-750	1	8	mathematics	mathematic	NOUN
ejpam-750	1	9	vol	vol	NOUN
ejpam-750	1	10	.	.	PUNCT
ejpam-750	2	1	3	3	NUM
ejpam-750	2	2	,	,	PUNCT
ejpam-750	2	3	no	no	INTJ
ejpam-750	2	4	.	.	NOUN
ejpam-750	2	5	6	6	NUM
ejpam-750	2	6	,	,	PUNCT
ejpam-750	2	7	2010	2010	NUM
ejpam-750	2	8	,	,	PUNCT
ejpam-750	2	9	924	924	NUM
ejpam-750	2	10	-	-	SYM
ejpam-750	2	11	947	947	NUM
ejpam-750	2	12	issn	issn	PROPN
ejpam-750	2	13	1307	1307	NUM
ejpam-750	2	14	-	-	SYM
ejpam-750	2	15	5543	5543	NUM
ejpam-750	2	16	–	–	PUNCT
ejpam-750	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-750	2	18	special	special	ADJ
ejpam-750	2	19	issue	issue	NOUN
ejpam-750	2	20	on	on	ADP
ejpam-750	2	21	complex	complex	ADJ
ejpam-750	2	22	analysis	analysis	NOUN
ejpam-750	2	23	:	:	PUNCT
ejpam-750	2	24	theory	theory	NOUN
ejpam-750	2	25	and	and	CCONJ
ejpam-750	2	26	applications	application	NOUN
ejpam-750	2	27	dedicated	dedicate	VERB
ejpam-750	2	28	to	to	ADP
ejpam-750	2	29	professor	professor	PROPN
ejpam-750	2	30	hari	hari	PROPN
ejpam-750	2	31	m.	m.	PROPN
ejpam-750	2	32	srivastava	srivastava	PROPN
ejpam-750	2	33	,	,	PUNCT
ejpam-750	2	34	on	on	ADP
ejpam-750	2	35	the	the	DET
ejpam-750	2	36	occasion	occasion	NOUN
ejpam-750	2	37	of	of	ADP
ejpam-750	2	38	his	his	PRON
ejpam-750	2	39	70th	70th	ADJ
ejpam-750	2	40	birthday	birthday	NOUN
ejpam-750	2	41	some	some	DET
ejpam-750	2	42	new	new	ADJ
ejpam-750	2	43	modular	modular	ADJ
ejpam-750	2	44	equations	equation	NOUN
ejpam-750	2	45	of	of	ADP
ejpam-750	2	46	degree	degree	NOUN
ejpam-750	2	47	four	four	NUM
ejpam-750	2	48	and	and	CCONJ
ejpam-750	2	49	their	their	PRON
ejpam-750	2	50	explicit	explicit	ADJ
ejpam-750	2	51	evaluations	evaluation	NOUN
ejpam-750	2	52	m.	m.	NOUN
ejpam-750	2	53	s.	s.	PROPN
ejpam-750	2	54	mahadeva	mahadeva	PROPN
ejpam-750	2	55	naika1,∗	naika1,∗	PROPN
ejpam-750	2	56	,	,	PUNCT
ejpam-750	2	57	k.	k.	PROPN
ejpam-750	2	58	sushan	sushan	PROPN
ejpam-750	2	59	bairy1	bairy1	PROPN
ejpam-750	2	60	,	,	PUNCT
ejpam-750	2	61	m.	m.	NOUN
ejpam-750	2	62	manjunatha2	manjunatha2	PROPN
ejpam-750	2	63	1	1	NUM
ejpam-750	2	64	department	department	NOUN
ejpam-750	2	65	of	of	ADP
ejpam-750	2	66	mathematics	mathematic	NOUN
ejpam-750	2	67	,	,	PUNCT
ejpam-750	2	68	bangalore	bangalore	PROPN
ejpam-750	2	69	university	university	NOUN
ejpam-750	2	70	,	,	PUNCT
ejpam-750	2	71	central	central	ADJ
ejpam-750	2	72	college	college	NOUN
ejpam-750	2	73	campus	campus	NOUN
ejpam-750	2	74	,	,	PUNCT
ejpam-750	2	75	bangalore-560	bangalore-560	NOUN
ejpam-750	2	76	001	001	NUM
ejpam-750	2	77	,	,	PUNCT
ejpam-750	2	78	india	india	PROPN
ejpam-750	2	79	2	2	NUM
ejpam-750	2	80	department	department	NOUN
ejpam-750	2	81	of	of	ADP
ejpam-750	2	82	mathematics	mathematic	NOUN
ejpam-750	2	83	,	,	PUNCT
ejpam-750	2	84	p	p	PROPN
ejpam-750	2	85	e	e	PROPN
ejpam-750	2	86	s	s	PROPN
ejpam-750	2	87	college	college	NOUN
ejpam-750	2	88	of	of	ADP
ejpam-750	2	89	science	science	PROPN
ejpam-750	2	90	,	,	PUNCT
ejpam-750	2	91	mandya	mandya	PROPN
ejpam-750	2	92	,	,	PUNCT
ejpam-750	2	93	india	india	PROPN
ejpam-750	2	94	abstract	abstract	NOUN
ejpam-750	2	95	.	.	PUNCT
ejpam-750	3	1	in	in	ADP
ejpam-750	3	2	this	this	DET
ejpam-750	3	3	paper	paper	NOUN
ejpam-750	3	4	,	,	PUNCT
ejpam-750	3	5	we	we	PRON
ejpam-750	3	6	derive	derive	VERB
ejpam-750	3	7	several	several	ADJ
ejpam-750	3	8	new	new	ADJ
ejpam-750	3	9	modular	modular	ADJ
ejpam-750	3	10	equations	equation	NOUN
ejpam-750	3	11	of	of	ADP
ejpam-750	3	12	degree	degree	NOUN
ejpam-750	3	13	4	4	NUM
ejpam-750	3	14	by	by	ADP
ejpam-750	3	15	using	use	VERB
ejpam-750	3	16	ramanujan	ramanujan	NOUN
ejpam-750	3	17	’s	’s	PART
ejpam-750	3	18	modular	modular	ADJ
ejpam-750	3	19	equations	equation	NOUN
ejpam-750	3	20	.	.	PUNCT
ejpam-750	4	1	we	we	PRON
ejpam-750	4	2	also	also	ADV
ejpam-750	4	3	establish	establish	VERB
ejpam-750	4	4	several	several	ADJ
ejpam-750	4	5	general	general	ADJ
ejpam-750	4	6	formulas	formula	NOUN
ejpam-750	4	7	for	for	ADP
ejpam-750	4	8	explicit	explicit	ADJ
ejpam-750	4	9	evaluations	evaluation	NOUN
ejpam-750	4	10	of	of	ADP
ejpam-750	4	11	h4,n	h4,n	PROPN
ejpam-750	4	12	.	.	PUNCT
ejpam-750	5	1	2000	2000	NUM
ejpam-750	5	2	mathematics	mathematic	NOUN
ejpam-750	5	3	subject	subject	NOUN
ejpam-750	5	4	classifications	classification	NOUN
ejpam-750	5	5	:	:	PUNCT
ejpam-750	5	6	primary	primary	ADJ
ejpam-750	5	7	33d10	33d10	NUM
ejpam-750	5	8	,	,	PUNCT
ejpam-750	5	9	11f27	11f27	NUM
ejpam-750	5	10	key	key	ADJ
ejpam-750	5	11	words	word	NOUN
ejpam-750	5	12	and	and	CCONJ
ejpam-750	5	13	phrases	phrase	NOUN
ejpam-750	5	14	:	:	PUNCT
ejpam-750	5	15	modular	modular	ADJ
ejpam-750	5	16	equation	equation	NOUN
ejpam-750	5	17	,	,	PUNCT
ejpam-750	5	18	theta	theta	NOUN
ejpam-750	5	19	-	-	PUNCT
ejpam-750	5	20	function	function	NOUN
ejpam-750	5	21	1	1	NUM
ejpam-750	5	22	.	.	PUNCT
ejpam-750	6	1	introduction	introduction	NOUN
ejpam-750	6	2	,	,	PUNCT
ejpam-750	6	3	definitions	definition	NOUN
ejpam-750	6	4	and	and	CCONJ
ejpam-750	6	5	notations	notation	NOUN
ejpam-750	6	6	in	in	ADP
ejpam-750	6	7	chapter	chapter	NOUN
ejpam-750	6	8	16	16	NUM
ejpam-750	6	9	of	of	ADP
ejpam-750	6	10	his	his	PRON
ejpam-750	6	11	second	second	ADJ
ejpam-750	6	12	notebook	notebook	NOUN
ejpam-750	6	13	[	[	X
ejpam-750	6	14	7	7	NUM
ejpam-750	6	15	]	]	PUNCT
ejpam-750	6	16	,	,	PUNCT
ejpam-750	6	17	ramanujan	ramanujan	NOUN
ejpam-750	6	18	develops	develop	VERB
ejpam-750	6	19	the	the	DET
ejpam-750	6	20	theory	theory	NOUN
ejpam-750	6	21	of	of	ADP
ejpam-750	6	22	thetafunction	thetafunction	NOUN
ejpam-750	6	23	and	and	CCONJ
ejpam-750	6	24	his	his	PRON
ejpam-750	6	25	theta	theta	NOUN
ejpam-750	6	26	-	-	PUNCT
ejpam-750	6	27	function	function	NOUN
ejpam-750	6	28	is	be	AUX
ejpam-750	6	29	defined	define	VERB
ejpam-750	6	30	by	by	ADP
ejpam-750	6	31	f	f	PROPN
ejpam-750	6	32	(	(	PUNCT
ejpam-750	6	33	a	a	DET
ejpam-750	6	34	,	,	PUNCT
ejpam-750	6	35	b	b	NOUN
ejpam-750	6	36	)	)	PUNCT
ejpam-750	7	1	:	:	PUNCT
ejpam-750	7	2	=	=	SYM
ejpam-750	7	3	∞	∞	NUM
ejpam-750	7	4	∑	∑	PROPN
ejpam-750	7	5	n=−∞	n=−∞	PROPN
ejpam-750	7	6	an(n+1)/2	an(n+1)/2	ADJ
ejpam-750	7	7	bn(n−1)/2	bn(n−1)/2	PROPN
ejpam-750	7	8	(	(	PUNCT
ejpam-750	7	9	1	1	NUM
ejpam-750	7	10	)	)	PUNCT
ejpam-750	7	11	=	=	NOUN
ejpam-750	7	12	(	(	PUNCT
ejpam-750	7	13	−a	−a	VERB
ejpam-750	7	14	;	;	PUNCT
ejpam-750	7	15	ab)∞(−b	ab)∞(−b	NUM
ejpam-750	7	16	;	;	PUNCT
ejpam-750	7	17	ab)∞(ab	ab)∞(ab	NUM
ejpam-750	7	18	;	;	PUNCT
ejpam-750	7	19	ab)∞.	ab)∞.	NUM
ejpam-750	7	20	following	follow	VERB
ejpam-750	7	21	ramanujan	ramanujan	PROPN
ejpam-750	7	22	,	,	PUNCT
ejpam-750	7	23	we	we	PRON
ejpam-750	7	24	define	define	VERB
ejpam-750	7	25	ϕ(q	ϕ(q	PROPN
ejpam-750	7	26	)	)	PUNCT
ejpam-750	7	27	:	:	PUNCT
ejpam-750	8	1	=	=	SYM
ejpam-750	8	2	f	f	X
ejpam-750	8	3	(	(	PUNCT
ejpam-750	8	4	q	q	NOUN
ejpam-750	8	5	,	,	PUNCT
ejpam-750	8	6	q	q	NOUN
ejpam-750	8	7	)	)	PUNCT
ejpam-750	8	8	=	=	SYM
ejpam-750	8	9	∞	∞	NUM
ejpam-750	8	10	∑	∑	PUNCT
ejpam-750	8	11	n=−∞	n=−∞	INTJ
ejpam-750	8	12	qn2	qn2	PROPN
ejpam-750	9	1	=	=	PUNCT
ejpam-750	9	2	(	(	PUNCT
ejpam-750	9	3	−q	−q	ADJ
ejpam-750	9	4	;	;	PUNCT
ejpam-750	9	5	q2)2∞(q	q2)2∞(q	NUM
ejpam-750	9	6	2	2	NUM
ejpam-750	9	7	;	;	PUNCT
ejpam-750	9	8	q2)∞	q2)∞	NOUN
ejpam-750	9	9	,	,	PUNCT
ejpam-750	9	10	(	(	PUNCT
ejpam-750	9	11	2	2	X
ejpam-750	9	12	)	)	PUNCT
ejpam-750	9	13	∗corresponding	∗corresponde	VERB
ejpam-750	9	14	author	author	NOUN
ejpam-750	9	15	.	.	PUNCT
ejpam-750	10	1	email	email	NOUN
ejpam-750	10	2	addresses	address	NOUN
ejpam-750	10	3	:	:	PUNCT
ejpam-750	10	4	msmnaika	msmnaika	X
ejpam-750	10	5	�	�	PROPN
ejpam-750	10	6	rediffmail	rediffmail	NOUN
ejpam-750	10	7	.	.	PUNCT
ejpam-750	11	1	om	om	PROPN
ejpam-750	11	2	(	(	PUNCT
ejpam-750	11	3	m.	m.	NOUN
ejpam-750	11	4	naika	naika	PROPN
ejpam-750	11	5	)	)	PUNCT
ejpam-750	11	6	,	,	PUNCT
ejpam-750	11	7	ksbairy	ksbairy	PROPN
ejpam-750	11	8	�	�	NOUN
ejpam-750	11	9	rediffmail	rediffmail	NOUN
ejpam-750	11	10	.	.	PUNCT
ejpam-750	12	1	om	om	PROPN
ejpam-750	12	2	(	(	PUNCT
ejpam-750	12	3	k.	k.	PROPN
ejpam-750	12	4	bairy),mmanjunathapes	bairy),mmanjunathape	NOUN
ejpam-750	12	5	�	�	PROPN
ejpam-750	12	6	gmail	gmail	NOUN
ejpam-750	12	7	.	.	PUNCT
ejpam-750	13	1	om	om	PROPN
ejpam-750	13	2	(	(	PUNCT
ejpam-750	13	3	m.	m.	NOUN
ejpam-750	13	4	manjunatha	manjunatha	PROPN
ejpam-750	13	5	)	)	PUNCT
ejpam-750	13	6	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-750	14	1	924	924	NUM
ejpam-750	14	2	c	c	X
ejpam-750	14	3	©	©	PROPN
ejpam-750	14	4	2010	2010	NUM
ejpam-750	14	5	ejpam	ejpam	NOUN
ejpam-750	14	6	all	all	DET
ejpam-750	14	7	rights	right	NOUN
ejpam-750	14	8	reserved	reserve	VERB
ejpam-750	14	9	.	.	PUNCT
ejpam-750	15	1	m.	m.	NOUN
ejpam-750	15	2	naika	naika	PROPN
ejpam-750	15	3	,	,	PUNCT
ejpam-750	15	4	k.	k.	PROPN
ejpam-750	15	5	bairy	bairy	PROPN
ejpam-750	15	6	,	,	PUNCT
ejpam-750	15	7	m.	m.	NOUN
ejpam-750	15	8	manjunatha	manjunatha	PROPN
ejpam-750	15	9	/	/	SYM
ejpam-750	15	10	eur	eur	PROPN
ejpam-750	15	11	.	.	PUNCT
ejpam-750	16	1	j.	j.	PROPN
ejpam-750	16	2	pure	pure	PROPN
ejpam-750	16	3	appl	appl	PROPN
ejpam-750	16	4	.	.	PROPN
ejpam-750	16	5	math	math	PROPN
ejpam-750	16	6	,	,	PUNCT
ejpam-750	16	7	3	3	NUM
ejpam-750	16	8	(	(	PUNCT
ejpam-750	16	9	2010	2010	NUM
ejpam-750	16	10	)	)	PUNCT
ejpam-750	16	11	,	,	PUNCT
ejpam-750	16	12	924	924	NUM
ejpam-750	16	13	-	-	SYM
ejpam-750	16	14	947	947	NUM
ejpam-750	16	15	925	925	NUM
ejpam-750	16	16	ψ(q	ψ(q	NOUN
ejpam-750	16	17	)	)	PUNCT
ejpam-750	16	18	:	:	PUNCT
ejpam-750	17	1	=	=	SYM
ejpam-750	17	2	f	f	X
ejpam-750	17	3	(	(	PUNCT
ejpam-750	17	4	q	q	ADJ
ejpam-750	17	5	,	,	PUNCT
ejpam-750	17	6	q3	q3	NOUN
ejpam-750	17	7	)	)	PUNCT
ejpam-750	17	8	=	=	SYM
ejpam-750	17	9	∞	∞	NUM
ejpam-750	17	10	∑	∑	PUNCT
ejpam-750	17	11	n=0	n=0	X
ejpam-750	17	12	qn(n+1)/2	qn(n+1)/2	NOUN
ejpam-750	17	13	=	=	SYM
ejpam-750	17	14	(	(	PUNCT
ejpam-750	17	15	q2	q2	NOUN
ejpam-750	17	16	;	;	PUNCT
ejpam-750	17	17	q2)∞	q2)∞	NOUN
ejpam-750	17	18	(	(	PUNCT
ejpam-750	17	19	q	q	NOUN
ejpam-750	17	20	;	;	PUNCT
ejpam-750	17	21	q2)∞	q2)∞	NOUN
ejpam-750	17	22	,	,	PUNCT
ejpam-750	17	23	f	f	PROPN
ejpam-750	17	24	(	(	PUNCT
ejpam-750	17	25	−q	−q	ADJ
ejpam-750	17	26	)	)	PUNCT
ejpam-750	17	27	:	:	PUNCT
ejpam-750	18	1	=	=	SYM
ejpam-750	18	2	f	f	X
ejpam-750	18	3	(	(	PUNCT
ejpam-750	18	4	−q,−q2	−q,−q2	PROPN
ejpam-750	18	5	)	)	PUNCT
ejpam-750	18	6	=	=	SYM
ejpam-750	18	7	∞	∞	PROPN
ejpam-750	18	8	∑	∑	PUNCT
ejpam-750	18	9	n=−∞	n=−∞	X
ejpam-750	18	10	(	(	PUNCT
ejpam-750	18	11	−1)nqn(3n−1)/2	−1)nqn(3n−1)/2	NOUN
ejpam-750	18	12	=	=	SYM
ejpam-750	18	13	(	(	PUNCT
ejpam-750	18	14	q	q	X
ejpam-750	18	15	;	;	PUNCT
ejpam-750	18	16	q)∞	q)∞	ADJ
ejpam-750	18	17	,	,	PUNCT
ejpam-750	18	18	χ(q	χ(q	PROPN
ejpam-750	18	19	)	)	PUNCT
ejpam-750	18	20	:	:	PUNCT
ejpam-750	19	1	=	=	SYM
ejpam-750	19	2	(	(	PUNCT
ejpam-750	19	3	−q	−q	ADJ
ejpam-750	19	4	;	;	PUNCT
ejpam-750	19	5	q2)∞	q2)∞	NOUN
ejpam-750	19	6	,	,	PUNCT
ejpam-750	19	7	where	where	SCONJ
ejpam-750	19	8	(	(	PUNCT
ejpam-750	19	9	a	a	X
ejpam-750	19	10	;	;	PUNCT
ejpam-750	19	11	q)∞	q)∞	ADJ
ejpam-750	19	12	=	=	SYM
ejpam-750	19	13	∞	∞	NOUN
ejpam-750	19	14	∏	∏	PROPN
ejpam-750	19	15	n=0	n=0	NUM
ejpam-750	19	16	(	(	PUNCT
ejpam-750	19	17	1−	1−	NUM
ejpam-750	19	18	aqn	aqn	NOUN
ejpam-750	19	19	)	)	PUNCT
ejpam-750	19	20	.	.	PUNCT
ejpam-750	20	1	the	the	DET
ejpam-750	20	2	ordinary	ordinary	ADJ
ejpam-750	20	3	hypergeometric	hypergeometric	ADJ
ejpam-750	20	4	series	series	NOUN
ejpam-750	20	5	2f1(a	2f1(a	NUM
ejpam-750	20	6	,	,	PUNCT
ejpam-750	20	7	b	b	NOUN
ejpam-750	20	8	;	;	PUNCT
ejpam-750	20	9	c	c	X
ejpam-750	20	10	;	;	PUNCT
ejpam-750	20	11	x	x	X
ejpam-750	20	12	)	)	PUNCT
ejpam-750	20	13	is	be	AUX
ejpam-750	20	14	defined	define	VERB
ejpam-750	20	15	by	by	ADP
ejpam-750	20	16	2f1(a	2f1(a	NUM
ejpam-750	20	17	,	,	PUNCT
ejpam-750	20	18	b	b	NOUN
ejpam-750	20	19	;	;	PUNCT
ejpam-750	20	20	c	c	X
ejpam-750	20	21	;	;	PUNCT
ejpam-750	20	22	x	x	X
ejpam-750	20	23	)	)	PUNCT
ejpam-750	21	1	=	=	SYM
ejpam-750	21	2	∞	∞	NUM
ejpam-750	21	3	∑	∑	PROPN
ejpam-750	21	4	n=0	n=0	NUM
ejpam-750	21	5	(	(	PUNCT
ejpam-750	21	6	a)n(b)n	a)n(b)n	PROPN
ejpam-750	21	7	(	(	PUNCT
ejpam-750	21	8	c)nn	c)nn	PROPN
ejpam-750	21	9	!	!	PUNCT
ejpam-750	22	1	xn	xn	PROPN
ejpam-750	22	2	,	,	PUNCT
ejpam-750	23	1	|	|	ADV
ejpam-750	23	2	x	x	SYM
ejpam-750	23	3	|	|	ADV
ejpam-750	23	4	<	<	X
ejpam-750	23	5	1	1	NUM
ejpam-750	23	6	,	,	PUNCT
ejpam-750	23	7	where	where	SCONJ
ejpam-750	23	8	(	(	PUNCT
ejpam-750	23	9	a)0	a)0	PROPN
ejpam-750	23	10	=	=	SYM
ejpam-750	23	11	1	1	NUM
ejpam-750	23	12	,	,	PUNCT
ejpam-750	23	13	(	(	PUNCT
ejpam-750	23	14	a)n	a)n	NOUN
ejpam-750	23	15	=	=	SYM
ejpam-750	23	16	a(a+	a(a+	PROPN
ejpam-750	23	17	1)(a+	1)(a+	NUM
ejpam-750	23	18	2)	2)	NUM
ejpam-750	23	19	...	...	PUNCT
ejpam-750	24	1	(a+	(a+	NOUN
ejpam-750	24	2	n−	n−	NOUN
ejpam-750	24	3	1	1	NUM
ejpam-750	24	4	)	)	PUNCT
ejpam-750	24	5	,	,	PUNCT
ejpam-750	24	6	for	for	ADP
ejpam-750	24	7	n≥	n≥	PROPN
ejpam-750	24	8	1	1	NUM
ejpam-750	24	9	.	.	PUNCT
ejpam-750	25	1	let	let	VERB
ejpam-750	25	2	z(r	z(r	NOUN
ejpam-750	25	3	)	)	PUNCT
ejpam-750	25	4	:	:	PUNCT
ejpam-750	26	1	=	=	PUNCT
ejpam-750	26	2	z(r	z(r	NOUN
ejpam-750	26	3	;	;	PUNCT
ejpam-750	26	4	x	x	X
ejpam-750	26	5	)	)	PUNCT
ejpam-750	26	6	:	:	PUNCT
ejpam-750	27	1	=	=	SYM
ejpam-750	27	2	2f1	2f1	NUM
ejpam-750	27	3	�	�	PROPN
ejpam-750	27	4	1	1	NUM
ejpam-750	27	5	r	r	NOUN
ejpam-750	27	6	,	,	PUNCT
ejpam-750	27	7	r	r	NOUN
ejpam-750	27	8	−	−	PROPN
ejpam-750	27	9	1	1	NUM
ejpam-750	27	10	r	r	NOUN
ejpam-750	27	11	;	;	PUNCT
ejpam-750	27	12	1	1	NUM
ejpam-750	27	13	;	;	PUNCT
ejpam-750	27	14	x	x	SYM
ejpam-750	27	15	�	�	PROPN
ejpam-750	27	16	and	and	CCONJ
ejpam-750	27	17	qr	qr	NOUN
ejpam-750	27	18	:	:	PUNCT
ejpam-750	27	19	=	=	NOUN
ejpam-750	27	20	qr(x	qr(x	NOUN
ejpam-750	27	21	)	)	PUNCT
ejpam-750	27	22	:	:	PUNCT
ejpam-750	27	23	=	=	SYM
ejpam-750	27	24	exp	exp	NOUN
ejpam-750	27	25	−π	−π	PROPN
ejpam-750	27	26	csc	csc	PROPN
ejpam-750	27	27	�	�	PROPN
ejpam-750	27	28	π	π	PROPN
ejpam-750	27	29	r	r	PROPN
ejpam-750	27	30	�	�	PROPN
ejpam-750	27	31	2f1	2f1	NUM
ejpam-750	27	32	(	(	PUNCT
ejpam-750	27	33	1	1	NUM
ejpam-750	27	34	r	r	NOUN
ejpam-750	27	35	,	,	PUNCT
ejpam-750	27	36	r−1	r−1	PROPN
ejpam-750	27	37	r	r	NOUN
ejpam-750	27	38	;	;	PUNCT
ejpam-750	27	39	1	1	NUM
ejpam-750	27	40	;	;	PUNCT
ejpam-750	27	41	1−	1−	NUM
ejpam-750	27	42	x	x	SYM
ejpam-750	27	43	)	)	PUNCT
ejpam-750	27	44	2f1	2f1	NOUN
ejpam-750	27	45	(	(	PUNCT
ejpam-750	27	46	1	1	NUM
ejpam-750	27	47	r	r	NOUN
ejpam-750	27	48	,	,	PUNCT
ejpam-750	27	49	r−1	r−1	PROPN
ejpam-750	27	50	r	r	NOUN
ejpam-750	27	51	;	;	PUNCT
ejpam-750	27	52	1	1	NUM
ejpam-750	27	53	;	;	PUNCT
ejpam-750	27	54	x	x	X
ejpam-750	27	55	)	)	PUNCT
ejpam-750	27	56	!	!	PUNCT
ejpam-750	28	1	,	,	PUNCT
ejpam-750	28	2	where	where	SCONJ
ejpam-750	28	3	r	r	NOUN
ejpam-750	28	4	=	=	SYM
ejpam-750	28	5	2,3,4,6	2,3,4,6	NUM
ejpam-750	28	6	and	and	CCONJ
ejpam-750	28	7	0	0	NUM
ejpam-750	28	8	<	<	X
ejpam-750	28	9	x	x	X
ejpam-750	28	10	<	<	X
ejpam-750	28	11	1	1	X
ejpam-750	28	12	.	.	PUNCT
ejpam-750	28	13	let	let	VERB
ejpam-750	28	14	n	n	PRON
ejpam-750	28	15	denote	denote	VERB
ejpam-750	28	16	a	a	DET
ejpam-750	28	17	fixed	fix	VERB
ejpam-750	28	18	natural	natural	ADJ
ejpam-750	28	19	number	number	NOUN
ejpam-750	28	20	,	,	PUNCT
ejpam-750	28	21	and	and	CCONJ
ejpam-750	28	22	assume	assume	VERB
ejpam-750	28	23	that	that	SCONJ
ejpam-750	28	24	n	n	PROPN
ejpam-750	28	25	2f1	2f1	NUM
ejpam-750	28	26	�	�	PROPN
ejpam-750	28	27	1	1	NUM
ejpam-750	28	28	r	r	NOUN
ejpam-750	28	29	,	,	PUNCT
ejpam-750	28	30	r−1	r−1	PROPN
ejpam-750	28	31	r	r	NOUN
ejpam-750	28	32	;	;	PUNCT
ejpam-750	28	33	1	1	NUM
ejpam-750	28	34	;	;	PUNCT
ejpam-750	28	35	1−α	1−α	NUM
ejpam-750	28	36	�	�	PROPN
ejpam-750	28	37	2f1	2f1	NUM
ejpam-750	28	38	�	�	PROPN
ejpam-750	28	39	1	1	NUM
ejpam-750	28	40	r	r	NOUN
ejpam-750	28	41	,	,	PUNCT
ejpam-750	28	42	r−1	r−1	PROPN
ejpam-750	28	43	r	r	NOUN
ejpam-750	28	44	;	;	PUNCT
ejpam-750	28	45	1;α	1;α	NUM
ejpam-750	28	46	�	�	PROPN
ejpam-750	28	47	=	=	SYM
ejpam-750	28	48	2f1	2f1	NUM
ejpam-750	28	49	�	�	PROPN
ejpam-750	28	50	1	1	NUM
ejpam-750	28	51	r	r	NOUN
ejpam-750	28	52	,	,	PUNCT
ejpam-750	28	53	r−1	r−1	PROPN
ejpam-750	28	54	r	r	NOUN
ejpam-750	28	55	;	;	PUNCT
ejpam-750	28	56	1	1	NUM
ejpam-750	28	57	;	;	PUNCT
ejpam-750	28	58	1−	1−	NUM
ejpam-750	28	59	β	β	X
ejpam-750	28	60	�	�	PROPN
ejpam-750	28	61	2f1	2f1	NUM
ejpam-750	28	62	�	�	PROPN
ejpam-750	28	63	1	1	NUM
ejpam-750	28	64	r	r	NOUN
ejpam-750	28	65	,	,	PUNCT
ejpam-750	28	66	r−1	r−1	PROPN
ejpam-750	28	67	r	r	NOUN
ejpam-750	28	68	;	;	PUNCT
ejpam-750	28	69	1;β	1;β	NUM
ejpam-750	28	70	�	�	PROPN
ejpam-750	28	71	,	,	PUNCT
ejpam-750	28	72	(	(	PUNCT
ejpam-750	28	73	3	3	X
ejpam-750	28	74	)	)	PUNCT
ejpam-750	28	75	where	where	SCONJ
ejpam-750	28	76	r	r	NOUN
ejpam-750	28	77	=	=	SYM
ejpam-750	28	78	2,3,4	2,3,4	NUM
ejpam-750	28	79	or	or	CCONJ
ejpam-750	28	80	6	6	NUM
ejpam-750	28	81	.	.	PUNCT
ejpam-750	29	1	then	then	ADV
ejpam-750	29	2	a	a	DET
ejpam-750	29	3	modular	modular	ADJ
ejpam-750	29	4	equation	equation	NOUN
ejpam-750	29	5	of	of	ADP
ejpam-750	29	6	degree	degree	NOUN
ejpam-750	29	7	n	n	CCONJ
ejpam-750	29	8	in	in	ADP
ejpam-750	29	9	the	the	DET
ejpam-750	29	10	theory	theory	NOUN
ejpam-750	29	11	of	of	ADP
ejpam-750	29	12	elliptic	elliptic	ADJ
ejpam-750	29	13	functions	function	NOUN
ejpam-750	29	14	of	of	ADP
ejpam-750	29	15	signature	signature	NOUN
ejpam-750	29	16	r	r	NOUN
ejpam-750	29	17	is	be	AUX
ejpam-750	29	18	a	a	DET
ejpam-750	29	19	relation	relation	NOUN
ejpam-750	29	20	between	between	ADP
ejpam-750	29	21	α	α	PROPN
ejpam-750	29	22	and	and	CCONJ
ejpam-750	29	23	β	β	NOUN
ejpam-750	29	24	induced	induce	VERB
ejpam-750	29	25	by	by	ADP
ejpam-750	29	26	(	(	PUNCT
ejpam-750	29	27	3	3	NUM
ejpam-750	29	28	)	)	PUNCT
ejpam-750	29	29	.	.	PUNCT
ejpam-750	30	1	the	the	DET
ejpam-750	30	2	ramanujan	ramanujan	PROPN
ejpam-750	30	3	-	-	PUNCT
ejpam-750	30	4	weber	weber	PROPN
ejpam-750	30	5	class	class	NOUN
ejpam-750	30	6	invariant	invariant	NOUN
ejpam-750	30	7	is	be	AUX
ejpam-750	30	8	defined	define	VERB
ejpam-750	30	9	as	as	ADP
ejpam-750	30	10	gm	gm	PROPN
ejpam-750	30	11	/	/	SYM
ejpam-750	30	12	n	n	PROPN
ejpam-750	30	13	=	=	SYM
ejpam-750	30	14	(	(	PUNCT
ejpam-750	30	15	α(1−α))−1/24	α(1−α))−1/24	NOUN
ejpam-750	30	16	and	and	CCONJ
ejpam-750	30	17	gmn	gmn	NOUN
ejpam-750	30	18	=	=	PUNCT
ejpam-750	30	19	(	(	PUNCT
ejpam-750	30	20	β(1−	β(1−	NOUN
ejpam-750	30	21	β))−1/24	β))−1/24	X
ejpam-750	30	22	,	,	PUNCT
ejpam-750	30	23	(	(	PUNCT
ejpam-750	30	24	4	4	NUM
ejpam-750	30	25	)	)	PUNCT
ejpam-750	30	26	where	where	SCONJ
ejpam-750	30	27	β	β	PROPN
ejpam-750	30	28	is	be	AUX
ejpam-750	30	29	of	of	ADP
ejpam-750	30	30	degree	degree	NOUN
ejpam-750	30	31	n	n	NOUN
ejpam-750	30	32	over	over	ADP
ejpam-750	30	33	α	α	NOUN
ejpam-750	30	34	.	.	PUNCT
ejpam-750	31	1	in	in	ADP
ejpam-750	31	2	[	[	X
ejpam-750	31	3	9	9	NUM
ejpam-750	31	4	]	]	PUNCT
ejpam-750	31	5	,	,	PUNCT
ejpam-750	31	6	j.	j.	PROPN
ejpam-750	31	7	yi	yi	PROPN
ejpam-750	31	8	introduced	introduce	VERB
ejpam-750	31	9	two	two	NUM
ejpam-750	31	10	parameterization	parameterization	NOUN
ejpam-750	31	11	hk	hk	PROPN
ejpam-750	31	12	,	,	PUNCT
ejpam-750	31	13	n	n	CCONJ
ejpam-750	31	14	as	as	SCONJ
ejpam-750	31	15	follows	follow	VERB
ejpam-750	31	16	hk	hk	PROPN
ejpam-750	31	17	,	,	PUNCT
ejpam-750	31	18	n	n	PROPN
ejpam-750	31	19	=	=	SYM
ejpam-750	31	20	ϕ(e−π	ϕ(e−π	PROPN
ejpam-750	31	21	p	p	NOUN
ejpam-750	31	22	n	n	CCONJ
ejpam-750	31	23	/	/	SYM
ejpam-750	31	24	k	k	NOUN
ejpam-750	31	25	)	)	PUNCT
ejpam-750	31	26	k1/4ϕ(e−π	k1/4ϕ(e−π	NOUN
ejpam-750	32	1	p	p	PROPN
ejpam-750	32	2	nk	nk	PROPN
ejpam-750	32	3	)	)	PUNCT
ejpam-750	32	4	.	.	PUNCT
ejpam-750	33	1	(	(	PUNCT
ejpam-750	33	2	5	5	X
ejpam-750	33	3	)	)	PUNCT
ejpam-750	33	4	yi	yi	NOUN
ejpam-750	33	5	established	establish	VERB
ejpam-750	33	6	some	some	DET
ejpam-750	33	7	properties	property	NOUN
ejpam-750	33	8	and	and	CCONJ
ejpam-750	33	9	several	several	ADJ
ejpam-750	33	10	explicit	explicit	ADJ
ejpam-750	33	11	evaluations	evaluation	NOUN
ejpam-750	33	12	of	of	ADP
ejpam-750	33	13	hk	hk	PROPN
ejpam-750	33	14	,	,	PUNCT
ejpam-750	33	15	n	n	PROPN
ejpam-750	33	16	for	for	ADP
ejpam-750	33	17	different	different	ADJ
ejpam-750	33	18	real	real	ADJ
ejpam-750	33	19	values	value	NOUN
ejpam-750	33	20	of	of	ADP
ejpam-750	33	21	n	n	PRON
ejpam-750	33	22	and	and	CCONJ
ejpam-750	33	23	k.	k.	X
ejpam-750	33	24	in	in	ADP
ejpam-750	33	25	[	[	X
ejpam-750	33	26	6	6	NUM
ejpam-750	33	27	]	]	PUNCT
ejpam-750	33	28	,	,	PUNCT
ejpam-750	33	29	m.	m.	PROPN
ejpam-750	33	30	s.	s.	PROPN
ejpam-750	33	31	mahadeva	mahadeva	PROPN
ejpam-750	33	32	naika	naika	PROPN
ejpam-750	33	33	and	and	CCONJ
ejpam-750	33	34	s.	s.	PROPN
ejpam-750	33	35	chandan	chandan	PROPN
ejpam-750	33	36	kumar	kumar	PROPN
ejpam-750	33	37	have	have	AUX
ejpam-750	33	38	established	establish	VERB
ejpam-750	33	39	several	several	ADJ
ejpam-750	33	40	m.	m.	NOUN
ejpam-750	33	41	naika	naika	PROPN
ejpam-750	33	42	,	,	PUNCT
ejpam-750	33	43	k.	k.	PROPN
ejpam-750	33	44	bairy	bairy	PROPN
ejpam-750	33	45	,	,	PUNCT
ejpam-750	33	46	m.	m.	NOUN
ejpam-750	33	47	manjunatha	manjunatha	PROPN
ejpam-750	33	48	/	/	SYM
ejpam-750	33	49	eur	eur	PROPN
ejpam-750	33	50	.	.	PUNCT
ejpam-750	34	1	j.	j.	PROPN
ejpam-750	34	2	pure	pure	PROPN
ejpam-750	34	3	appl	appl	PROPN
ejpam-750	34	4	.	.	PROPN
ejpam-750	34	5	math	math	PROPN
ejpam-750	34	6	,	,	PUNCT
ejpam-750	34	7	3	3	NUM
ejpam-750	34	8	(	(	PUNCT
ejpam-750	34	9	2010	2010	NUM
ejpam-750	34	10	)	)	PUNCT
ejpam-750	34	11	,	,	PUNCT
ejpam-750	34	12	924	924	NUM
ejpam-750	34	13	-	-	SYM
ejpam-750	34	14	947	947	NUM
ejpam-750	34	15	926	926	NUM
ejpam-750	34	16	new	new	ADJ
ejpam-750	34	17	modular	modular	ADJ
ejpam-750	34	18	equations	equation	NOUN
ejpam-750	34	19	of	of	ADP
ejpam-750	34	20	degree	degree	NOUN
ejpam-750	34	21	2	2	X
ejpam-750	34	22	.	.	PUNCT
ejpam-750	35	1	they	they	PRON
ejpam-750	35	2	have	have	AUX
ejpam-750	35	3	also	also	ADV
ejpam-750	35	4	established	establish	VERB
ejpam-750	35	5	general	general	ADJ
ejpam-750	35	6	formula	formula	NOUN
ejpam-750	35	7	for	for	ADP
ejpam-750	35	8	explicit	explicit	ADJ
ejpam-750	35	9	evaluation	evaluation	NOUN
ejpam-750	35	10	for	for	ADP
ejpam-750	35	11	h2,n	h2,n	PROPN
ejpam-750	35	12	.	.	PUNCT
ejpam-750	36	1	for	for	ADP
ejpam-750	36	2	more	more	ADJ
ejpam-750	36	3	detail	detail	NOUN
ejpam-750	36	4	,	,	PUNCT
ejpam-750	36	5	one	one	PRON
ejpam-750	36	6	can	can	AUX
ejpam-750	36	7	see	see	VERB
ejpam-750	36	8	[	[	X
ejpam-750	36	9	8	8	NUM
ejpam-750	36	10	]	]	PUNCT
ejpam-750	36	11	.	.	PUNCT
ejpam-750	37	1	in	in	ADP
ejpam-750	37	2	section	section	NOUN
ejpam-750	37	3	2	2	NUM
ejpam-750	37	4	,	,	PUNCT
ejpam-750	37	5	we	we	PRON
ejpam-750	37	6	collect	collect	VERB
ejpam-750	37	7	some	some	DET
ejpam-750	37	8	results	result	NOUN
ejpam-750	37	9	which	which	PRON
ejpam-750	37	10	are	be	AUX
ejpam-750	37	11	useful	useful	ADJ
ejpam-750	37	12	to	to	PART
ejpam-750	37	13	prove	prove	VERB
ejpam-750	37	14	our	our	PRON
ejpam-750	37	15	main	main	ADJ
ejpam-750	37	16	results	result	NOUN
ejpam-750	37	17	.	.	PUNCT
ejpam-750	38	1	in	in	ADP
ejpam-750	38	2	section	section	NOUN
ejpam-750	38	3	3	3	NUM
ejpam-750	38	4	,	,	PUNCT
ejpam-750	38	5	we	we	PRON
ejpam-750	38	6	establish	establish	VERB
ejpam-750	38	7	the	the	DET
ejpam-750	38	8	modular	modular	ADJ
ejpam-750	38	9	equations	equation	NOUN
ejpam-750	38	10	of	of	ADP
ejpam-750	38	11	the	the	DET
ejpam-750	38	12	ratios	ratio	NOUN
ejpam-750	38	13	of	of	ADP
ejpam-750	38	14	the	the	DET
ejpam-750	38	15	theta	theta	NOUN
ejpam-750	38	16	-	-	PUNCT
ejpam-750	38	17	function	function	NOUN
ejpam-750	38	18	ϕ(q	ϕ(q	PROPN
ejpam-750	38	19	)	)	PUNCT
ejpam-750	38	20	.	.	PUNCT
ejpam-750	39	1	in	in	ADP
ejpam-750	39	2	section	section	NOUN
ejpam-750	39	3	4	4	NUM
ejpam-750	39	4	,	,	PUNCT
ejpam-750	39	5	we	we	PRON
ejpam-750	39	6	establish	establish	VERB
ejpam-750	39	7	several	several	ADJ
ejpam-750	39	8	general	general	ADJ
ejpam-750	39	9	formulas	formula	NOUN
ejpam-750	39	10	for	for	ADP
ejpam-750	39	11	explicit	explicit	ADJ
ejpam-750	39	12	evaluations	evaluation	NOUN
ejpam-750	39	13	of	of	ADP
ejpam-750	39	14	h4,n	h4,n	PROPN
ejpam-750	39	15	using	use	VERB
ejpam-750	39	16	modular	modular	ADJ
ejpam-750	39	17	equations	equation	NOUN
ejpam-750	39	18	established	establish	VERB
ejpam-750	39	19	in	in	ADP
ejpam-750	39	20	section	section	NOUN
ejpam-750	39	21	3	3	NUM
ejpam-750	39	22	.	.	NOUN
ejpam-750	39	23	2	2	NUM
ejpam-750	39	24	.	.	X
ejpam-750	39	25	preliminary	preliminary	ADJ
ejpam-750	39	26	results	result	NOUN
ejpam-750	39	27	in	in	ADP
ejpam-750	39	28	this	this	DET
ejpam-750	39	29	section	section	NOUN
ejpam-750	39	30	,	,	PUNCT
ejpam-750	39	31	we	we	PRON
ejpam-750	39	32	collect	collect	VERB
ejpam-750	39	33	some	some	DET
ejpam-750	39	34	results	result	NOUN
ejpam-750	39	35	which	which	PRON
ejpam-750	39	36	are	be	AUX
ejpam-750	39	37	useful	useful	ADJ
ejpam-750	39	38	to	to	PART
ejpam-750	39	39	prove	prove	VERB
ejpam-750	39	40	our	our	PRON
ejpam-750	39	41	main	main	ADJ
ejpam-750	39	42	results	result	NOUN
ejpam-750	39	43	.	.	PUNCT
ejpam-750	40	1	lemma	lemma	PROPN
ejpam-750	40	2	1	1	NUM
ejpam-750	40	3	.	.	PUNCT
ejpam-750	41	1	[	[	X
ejpam-750	41	2	3	3	NUM
ejpam-750	41	3	,	,	PUNCT
ejpam-750	41	4	entry	entry	NOUN
ejpam-750	41	5	10	10	NUM
ejpam-750	41	6	(	(	PUNCT
ejpam-750	41	7	i	i	NOUN
ejpam-750	41	8	)	)	PUNCT
ejpam-750	41	9	,	,	PUNCT
ejpam-750	41	10	(	(	PUNCT
ejpam-750	41	11	v	v	NOUN
ejpam-750	41	12	)	)	PUNCT
ejpam-750	41	13	pp.122	pp.122	NOUN
ejpam-750	41	14	]	]	PUNCT
ejpam-750	41	15	for	for	ADP
ejpam-750	41	16	0	0	NUM
ejpam-750	41	17	<	<	X
ejpam-750	41	18	x	x	X
ejpam-750	41	19	<	<	X
ejpam-750	41	20	1	1	NUM
ejpam-750	41	21	,	,	PUNCT
ejpam-750	41	22	ϕ(e−y	ϕ(e−y	NOUN
ejpam-750	41	23	)	)	PUNCT
ejpam-750	41	24	=	=	PUNCT
ejpam-750	42	1	p	p	PROPN
ejpam-750	42	2	z	z	NOUN
ejpam-750	42	3	,	,	PUNCT
ejpam-750	42	4	(	(	PUNCT
ejpam-750	42	5	6	6	NUM
ejpam-750	42	6	)	)	PUNCT
ejpam-750	42	7	ϕ(e−4y	ϕ(e−4y	NOUN
ejpam-750	42	8	)	)	PUNCT
ejpam-750	43	1	=	=	SYM
ejpam-750	43	2	1	1	NUM
ejpam-750	43	3	2	2	NUM
ejpam-750	43	4	p	p	NOUN
ejpam-750	43	5	z	z	PROPN
ejpam-750	43	6	�	�	PROPN
ejpam-750	43	7	1	1	NUM
ejpam-750	43	8	+	+	CCONJ
ejpam-750	43	9	(	(	PUNCT
ejpam-750	43	10	1−	1−	NUM
ejpam-750	43	11	x)1/4	x)1/4	PUNCT
ejpam-750	43	12	�	�	PROPN
ejpam-750	43	13	,	,	PUNCT
ejpam-750	43	14	(	(	PUNCT
ejpam-750	43	15	7	7	X
ejpam-750	43	16	)	)	PUNCT
ejpam-750	43	17	where	where	SCONJ
ejpam-750	43	18	z	z	NOUN
ejpam-750	43	19	=	=	SYM
ejpam-750	43	20	2f1	2f1	NUM
ejpam-750	43	21	�	�	PROPN
ejpam-750	43	22	1	1	NUM
ejpam-750	43	23	2	2	NUM
ejpam-750	43	24	,	,	PUNCT
ejpam-750	43	25	1	1	NUM
ejpam-750	43	26	2	2	NUM
ejpam-750	43	27	;	;	PUNCT
ejpam-750	43	28	1	1	NUM
ejpam-750	43	29	;	;	PUNCT
ejpam-750	43	30	x	x	SYM
ejpam-750	43	31	�	�	PROPN
ejpam-750	43	32	and	and	CCONJ
ejpam-750	43	33	y	y	PROPN
ejpam-750	43	34	=	=	PROPN
ejpam-750	43	35	π	π	PROPN
ejpam-750	43	36	2f1	2f1	NUM
ejpam-750	43	37	�	�	PROPN
ejpam-750	43	38	1	1	NUM
ejpam-750	43	39	2	2	NUM
ejpam-750	43	40	,	,	PUNCT
ejpam-750	43	41	1	1	NUM
ejpam-750	43	42	2	2	NUM
ejpam-750	43	43	;	;	PUNCT
ejpam-750	43	44	1	1	NUM
ejpam-750	43	45	;	;	PUNCT
ejpam-750	43	46	1−	1−	NUM
ejpam-750	43	47	x	x	SYM
ejpam-750	43	48	�	�	PROPN
ejpam-750	43	49	2f1	2f1	NUM
ejpam-750	43	50	�	�	PROPN
ejpam-750	43	51	1	1	NUM
ejpam-750	43	52	2	2	NUM
ejpam-750	43	53	,	,	PUNCT
ejpam-750	43	54	1	1	NUM
ejpam-750	43	55	2	2	NUM
ejpam-750	43	56	;	;	PUNCT
ejpam-750	43	57	1	1	NUM
ejpam-750	43	58	;	;	PUNCT
ejpam-750	43	59	x	x	X
ejpam-750	43	60	�	�	PROPN
ejpam-750	43	61	.	.	PUNCT
ejpam-750	44	1	lemma	lemma	PROPN
ejpam-750	44	2	2	2	X
ejpam-750	44	3	.	.	X
ejpam-750	45	1	we	we	PRON
ejpam-750	45	2	have	have	VERB
ejpam-750	45	3	1	1	NUM
ejpam-750	45	4	.	.	PUNCT
ejpam-750	46	1	[	[	X
ejpam-750	46	2	3	3	NUM
ejpam-750	46	3	,	,	PUNCT
ejpam-750	46	4	eq	eq	NOUN
ejpam-750	46	5	.	.	PUNCT
ejpam-750	47	1	(	(	PUNCT
ejpam-750	47	2	24.21	24.21	NUM
ejpam-750	47	3	)	)	PUNCT
ejpam-750	47	4	,	,	PUNCT
ejpam-750	47	5	p.215	p.215	VERB
ejpam-750	47	6	]	]	X
ejpam-750	47	7	if	if	SCONJ
ejpam-750	47	8	β	β	X
ejpam-750	47	9	is	be	AUX
ejpam-750	47	10	of	of	ADP
ejpam-750	47	11	degree	degree	NOUN
ejpam-750	47	12	2	2	NUM
ejpam-750	47	13	over	over	ADP
ejpam-750	47	14	α	α	NOUN
ejpam-750	47	15	,	,	PUNCT
ejpam-750	47	16	then	then	ADV
ejpam-750	47	17	β	β	X
ejpam-750	47	18	=	=	SYM
ejpam-750	47	19	�	�	PROPN
ejpam-750	48	1	1−p1−α	1−p1−α	NUM
ejpam-750	48	2	1	1	NUM
ejpam-750	48	3	+	+	SYM
ejpam-750	48	4	p	p	ADJ
ejpam-750	48	5	1−α	1−α	NUM
ejpam-750	48	6	�	�	PROPN
ejpam-750	48	7	2	2	NUM
ejpam-750	48	8	.	.	PUNCT
ejpam-750	49	1	(	(	PUNCT
ejpam-750	49	2	8)	8)	NUM
ejpam-750	49	3	2	2	NUM
ejpam-750	49	4	.	.	PUNCT
ejpam-750	50	1	[	[	X
ejpam-750	50	2	3	3	NUM
ejpam-750	50	3	,	,	PUNCT
ejpam-750	50	4	entry	entry	NOUN
ejpam-750	50	5	5	5	NUM
ejpam-750	50	6	(	(	PUNCT
ejpam-750	50	7	ii	ii	NOUN
ejpam-750	50	8	)	)	PUNCT
ejpam-750	50	9	,	,	PUNCT
ejpam-750	50	10	p.230	p.230	X
ejpam-750	50	11	]	]	PUNCT
ejpam-750	50	12	if	if	SCONJ
ejpam-750	50	13	β	β	X
ejpam-750	50	14	is	be	AUX
ejpam-750	50	15	of	of	ADP
ejpam-750	50	16	degree	degree	NOUN
ejpam-750	50	17	3	3	NUM
ejpam-750	50	18	over	over	ADP
ejpam-750	50	19	α	α	PROPN
ejpam-750	50	20	,	,	PUNCT
ejpam-750	50	21	then	then	ADV
ejpam-750	50	22	�	�	PROPN
ejpam-750	50	23	αβ	αβ	PRON
ejpam-750	50	24	�	�	PROPN
ejpam-750	50	25	1/4	1/4	NUM
ejpam-750	50	26	+	+	NUM
ejpam-750	50	27	�	�	PROPN
ejpam-750	50	28	(	(	PUNCT
ejpam-750	50	29	1−α)(1−	1−α)(1−	NUM
ejpam-750	50	30	β)	β)	SYM
ejpam-750	50	31	�	�	NOUN
ejpam-750	50	32	1/4	1/4	NUM
ejpam-750	50	33	=	=	SYM
ejpam-750	50	34	1	1	NUM
ejpam-750	50	35	.	.	PUNCT
ejpam-750	50	36	(	(	PUNCT
ejpam-750	50	37	9	9	NUM
ejpam-750	50	38	)	)	PUNCT
ejpam-750	50	39	3	3	NUM
ejpam-750	50	40	.	.	PUNCT
ejpam-750	51	1	[	[	X
ejpam-750	51	2	3	3	NUM
ejpam-750	51	3	,	,	PUNCT
ejpam-750	51	4	eq	eq	NOUN
ejpam-750	51	5	.	.	PUNCT
ejpam-750	52	1	(	(	PUNCT
ejpam-750	52	2	24.22	24.22	NUM
ejpam-750	52	3	)	)	PUNCT
ejpam-750	52	4	,	,	PUNCT
ejpam-750	52	5	p.215	p.215	VERB
ejpam-750	52	6	]	]	X
ejpam-750	52	7	if	if	SCONJ
ejpam-750	52	8	β	β	X
ejpam-750	52	9	is	be	AUX
ejpam-750	52	10	of	of	ADP
ejpam-750	52	11	degree	degree	NOUN
ejpam-750	52	12	4	4	NUM
ejpam-750	52	13	over	over	ADP
ejpam-750	52	14	α	α	NOUN
ejpam-750	52	15	,	,	PUNCT
ejpam-750	52	16	then	then	ADV
ejpam-750	52	17	β	β	PROPN
ejpam-750	52	18	=	=	SYM
ejpam-750	52	19	�	�	PROPN
ejpam-750	53	1	1−	1−	NUM
ejpam-750	53	2	4	4	NUM
ejpam-750	53	3	p	p	NOUN
ejpam-750	53	4	1−α	1−α	NUM
ejpam-750	53	5	1	1	NUM
ejpam-750	53	6	+	+	NUM
ejpam-750	53	7	4	4	NUM
ejpam-750	53	8	p	p	NOUN
ejpam-750	53	9	1−α	1−α	NUM
ejpam-750	53	10	�	�	PROPN
ejpam-750	53	11	4	4	NUM
ejpam-750	53	12	.	.	PUNCT
ejpam-750	54	1	(	(	PUNCT
ejpam-750	54	2	10	10	NUM
ejpam-750	54	3	)	)	PUNCT
ejpam-750	54	4	4	4	NUM
ejpam-750	54	5	.	.	PUNCT
ejpam-750	55	1	[	[	X
ejpam-750	55	2	3	3	NUM
ejpam-750	55	3	,	,	PUNCT
ejpam-750	55	4	entry	entry	NOUN
ejpam-750	55	5	13(i	13(i	NUM
ejpam-750	55	6	)	)	PUNCT
ejpam-750	55	7	,	,	PUNCT
ejpam-750	55	8	p.	p.	NOUN
ejpam-750	55	9	280	280	NUM
ejpam-750	55	10	]	]	X
ejpam-750	55	11	if	if	SCONJ
ejpam-750	55	12	β	β	X
ejpam-750	55	13	is	be	AUX
ejpam-750	55	14	of	of	ADP
ejpam-750	55	15	degree	degree	NOUN
ejpam-750	55	16	5	5	NUM
ejpam-750	55	17	over	over	ADP
ejpam-750	55	18	α	α	NUM
ejpam-750	55	19	,	,	PUNCT
ejpam-750	55	20	then	then	ADV
ejpam-750	55	21	�	�	PROPN
ejpam-750	55	22	αβ	αβ	PRON
ejpam-750	55	23	�	�	PROPN
ejpam-750	55	24	1/2	1/2	NUM
ejpam-750	55	25	+	+	NUM
ejpam-750	55	26	�	�	PROPN
ejpam-750	55	27	(	(	PUNCT
ejpam-750	55	28	1−α)(1−	1−α)(1−	NUM
ejpam-750	55	29	β)	β)	NOUN
ejpam-750	55	30	�	�	NOUN
ejpam-750	55	31	1/2	1/2	NUM
ejpam-750	55	32	+	+	SYM
ejpam-750	55	33	2	2	NUM
ejpam-750	55	34	�	�	PROPN
ejpam-750	55	35	αβ(1−α)(1−	αβ(1−α)(1−	NOUN
ejpam-750	55	36	β)	β)	X
ejpam-750	55	37	�	�	NOUN
ejpam-750	55	38	1/6	1/6	NUM
ejpam-750	55	39	=	=	SYM
ejpam-750	55	40	1	1	NUM
ejpam-750	55	41	.	.	PUNCT
ejpam-750	55	42	(	(	PUNCT
ejpam-750	55	43	11	11	NUM
ejpam-750	55	44	)	)	PUNCT
ejpam-750	55	45	5	5	NUM
ejpam-750	55	46	.	.	PUNCT
ejpam-750	56	1	[	[	X
ejpam-750	56	2	3	3	NUM
ejpam-750	56	3	,	,	PUNCT
ejpam-750	56	4	entry	entry	NOUN
ejpam-750	56	5	19(i	19(i	NUM
ejpam-750	56	6	)	)	PUNCT
ejpam-750	56	7	,	,	PUNCT
ejpam-750	56	8	p.	p.	NOUN
ejpam-750	56	9	314	314	NUM
ejpam-750	56	10	]	]	PUNCT
ejpam-750	56	11	if	if	SCONJ
ejpam-750	56	12	β	β	X
ejpam-750	56	13	is	be	AUX
ejpam-750	56	14	of	of	ADP
ejpam-750	56	15	degree	degree	NOUN
ejpam-750	56	16	7	7	NUM
ejpam-750	56	17	over	over	ADP
ejpam-750	56	18	α	α	NUM
ejpam-750	56	19	,	,	PUNCT
ejpam-750	56	20	then	then	ADV
ejpam-750	56	21	�	�	PROPN
ejpam-750	56	22	αβ	αβ	PRON
ejpam-750	56	23	�	�	PROPN
ejpam-750	56	24	1/8	1/8	NUM
ejpam-750	56	25	+	+	NUM
ejpam-750	56	26	�	�	PROPN
ejpam-750	56	27	(	(	PUNCT
ejpam-750	56	28	1−α)(1−	1−α)(1−	NUM
ejpam-750	56	29	β)	β)	NOUN
ejpam-750	56	30	�	�	NOUN
ejpam-750	56	31	1/8	1/8	NUM
ejpam-750	56	32	=	=	SYM
ejpam-750	56	33	1	1	NUM
ejpam-750	56	34	.	.	PUNCT
ejpam-750	56	35	(	(	PUNCT
ejpam-750	56	36	12	12	NUM
ejpam-750	56	37	)	)	PUNCT
ejpam-750	56	38	m.	m.	NOUN
ejpam-750	56	39	naika	naika	PROPN
ejpam-750	56	40	,	,	PUNCT
ejpam-750	56	41	k.	k.	PROPN
ejpam-750	56	42	bairy	bairy	PROPN
ejpam-750	56	43	,	,	PUNCT
ejpam-750	56	44	m.	m.	NOUN
ejpam-750	56	45	manjunatha	manjunatha	PROPN
ejpam-750	56	46	/	/	SYM
ejpam-750	56	47	eur	eur	PROPN
ejpam-750	56	48	.	.	PUNCT
ejpam-750	57	1	j.	j.	PROPN
ejpam-750	57	2	pure	pure	PROPN
ejpam-750	57	3	appl	appl	PROPN
ejpam-750	57	4	.	.	PROPN
ejpam-750	57	5	math	math	PROPN
ejpam-750	57	6	,	,	PUNCT
ejpam-750	57	7	3	3	NUM
ejpam-750	57	8	(	(	PUNCT
ejpam-750	57	9	2010	2010	NUM
ejpam-750	57	10	)	)	PUNCT
ejpam-750	57	11	,	,	PUNCT
ejpam-750	57	12	924	924	NUM
ejpam-750	57	13	-	-	SYM
ejpam-750	57	14	947	947	NUM
ejpam-750	57	15	927	927	NUM
ejpam-750	57	16	6	6	NUM
ejpam-750	57	17	.	.	PUNCT
ejpam-750	58	1	[	[	X
ejpam-750	58	2	1	1	NUM
ejpam-750	58	3	,	,	PUNCT
ejpam-750	58	4	entry	entry	NOUN
ejpam-750	58	5	11.3.3	11.3.3	NOUN
ejpam-750	58	6	,	,	PUNCT
ejpam-750	58	7	p.	p.	NOUN
ejpam-750	58	8	275	275	NUM
ejpam-750	58	9	]	]	PUNCT
ejpam-750	58	10	if	if	SCONJ
ejpam-750	58	11	β	β	NOUN
ejpam-750	58	12	has	have	VERB
ejpam-750	58	13	degree	degree	NOUN
ejpam-750	58	14	8	8	NUM
ejpam-750	58	15	over	over	ADP
ejpam-750	58	16	α	α	NOUN
ejpam-750	58	17	,	,	PUNCT
ejpam-750	58	18	then	then	ADV
ejpam-750	58	19	(	(	PUNCT
ejpam-750	58	20	1−	1−	NUM
ejpam-750	58	21	4	4	NUM
ejpam-750	58	22	p	p	NOUN
ejpam-750	58	23	1−α)(1−	1−α)(1−	NUM
ejpam-750	58	24	4	4	NUM
ejpam-750	58	25	p	p	NOUN
ejpam-750	58	26	β	β	NOUN
ejpam-750	58	27	)	)	PUNCT
ejpam-750	58	28	=	=	SYM
ejpam-750	59	1	2	2	NUM
ejpam-750	59	2	p	p	NOUN
ejpam-750	59	3	2	2	NUM
ejpam-750	59	4	8	8	NUM
ejpam-750	59	5	p	p	NOUN
ejpam-750	59	6	β(1−α	β(1−α	NOUN
ejpam-750	59	7	)	)	PUNCT
ejpam-750	59	8	.	.	PUNCT
ejpam-750	60	1	(	(	PUNCT
ejpam-750	60	2	13	13	NUM
ejpam-750	60	3	)	)	PUNCT
ejpam-750	60	4	7	7	NUM
ejpam-750	60	5	.	.	PUNCT
ejpam-750	61	1	[	[	X
ejpam-750	61	2	3	3	NUM
ejpam-750	61	3	,	,	PUNCT
ejpam-750	61	4	entry	entry	NOUN
ejpam-750	61	5	3(x),(xi	3(x),(xi	NUM
ejpam-750	61	6	)	)	PUNCT
ejpam-750	61	7	,	,	PUNCT
ejpam-750	62	1	p.	p.	NOUN
ejpam-750	62	2	352	352	NUM
ejpam-750	62	3	]	]	X
ejpam-750	62	4	if	if	SCONJ
ejpam-750	62	5	β	β	NOUN
ejpam-750	62	6	has	have	VERB
ejpam-750	62	7	degree	degree	NOUN
ejpam-750	62	8	9	9	NUM
ejpam-750	62	9	over	over	ADP
ejpam-750	62	10	α	α	NOUN
ejpam-750	62	11	,	,	PUNCT
ejpam-750	62	12	then	then	ADV
ejpam-750	62	13	�	�	PROPN
ejpam-750	62	14	β	β	PROPN
ejpam-750	62	15	α	α	PROPN
ejpam-750	62	16	�	�	PROPN
ejpam-750	62	17	1/8	1/8	NUM
ejpam-750	62	18	+	+	NUM
ejpam-750	62	19	�	�	PROPN
ejpam-750	62	20	1−	1−	NUM
ejpam-750	62	21	β	β	PROPN
ejpam-750	62	22	1−α	1−α	NUM
ejpam-750	62	23	�	�	PROPN
ejpam-750	62	24	1/8	1/8	NUM
ejpam-750	62	25	−	−	PROPN
ejpam-750	62	26	�	�	PROPN
ejpam-750	62	27	β(1−	β(1−	NOUN
ejpam-750	62	28	β	β	X
ejpam-750	62	29	)	)	PUNCT
ejpam-750	62	30	α(1−α	α(1−α	PROPN
ejpam-750	62	31	)	)	PUNCT
ejpam-750	62	32	�	�	PROPN
ejpam-750	62	33	1/8	1/8	NUM
ejpam-750	62	34	=	=	SYM
ejpam-750	62	35	p	p	NOUN
ejpam-750	62	36	m	m	PROPN
ejpam-750	62	37	,	,	PUNCT
ejpam-750	62	38	(	(	PUNCT
ejpam-750	62	39	14	14	NUM
ejpam-750	62	40	)	)	PUNCT
ejpam-750	62	41	�	�	PROPN
ejpam-750	62	42	α	α	PROPN
ejpam-750	62	43	β	β	PROPN
ejpam-750	62	44	�	�	PROPN
ejpam-750	62	45	1/8	1/8	NUM
ejpam-750	62	46	+	+	NUM
ejpam-750	62	47	�	�	PROPN
ejpam-750	62	48	1−α	1−α	NUM
ejpam-750	62	49	1−	1−	NUM
ejpam-750	62	50	β	β	X
ejpam-750	62	51	�	�	PROPN
ejpam-750	62	52	1/8	1/8	NUM
ejpam-750	62	53	−	−	PROPN
ejpam-750	62	54	�	�	PROPN
ejpam-750	62	55	α(1−α	α(1−α	PROPN
ejpam-750	62	56	)	)	PUNCT
ejpam-750	62	57	β(1−	β(1−	NOUN
ejpam-750	62	58	β	β	X
ejpam-750	62	59	)	)	PUNCT
ejpam-750	62	60	�	�	PROPN
ejpam-750	62	61	1/8	1/8	NUM
ejpam-750	62	62	=	=	SYM
ejpam-750	62	63	3p	3p	NUM
ejpam-750	62	64	m	m	NOUN
ejpam-750	62	65	.	.	PUNCT
ejpam-750	63	1	(	(	PUNCT
ejpam-750	63	2	15	15	NUM
ejpam-750	63	3	)	)	PUNCT
ejpam-750	63	4	8	8	NUM
ejpam-750	63	5	.	.	PUNCT
ejpam-750	64	1	[	[	X
ejpam-750	64	2	4	4	NUM
ejpam-750	64	3	,	,	PUNCT
ejpam-750	64	4	pp	pp	ADJ
ejpam-750	64	5	.	.	PUNCT
ejpam-750	65	1	387–388	387–388	NUM
ejpam-750	65	2	]	]	X
ejpam-750	65	3	let	let	VERB
ejpam-750	65	4	u	u	PRON
ejpam-750	65	5	=	=	PROPN
ejpam-750	65	6	1−	1−	NUM
ejpam-750	65	7	p	p	NOUN
ejpam-750	66	1	αβ	αβ	INTJ
ejpam-750	66	2	−	−	PROPN
ejpam-750	67	1	p	p	NOUN
ejpam-750	67	2	(	(	PUNCT
ejpam-750	67	3	1−α)(1−	1−α)(1−	NUM
ejpam-750	67	4	β	β	NOUN
ejpam-750	67	5	)	)	PUNCT
ejpam-750	67	6	,	,	PUNCT
ejpam-750	67	7	(	(	PUNCT
ejpam-750	67	8	16	16	NUM
ejpam-750	67	9	)	)	PUNCT
ejpam-750	67	10	v	v	NOUN
ejpam-750	67	11	=	=	SYM
ejpam-750	67	12	64	64	NUM
ejpam-750	67	13	�	�	NOUN
ejpam-750	67	14	p	p	NOUN
ejpam-750	68	1	αβ	αβ	INTJ
ejpam-750	69	1	+	+	CCONJ
ejpam-750	69	2	p	p	X
ejpam-750	69	3	(	(	PUNCT
ejpam-750	69	4	1−α)(1−	1−α)(1−	NUM
ejpam-750	69	5	β)−	β)−	PUNCT
ejpam-750	69	6	p	p	NOUN
ejpam-750	69	7	αβ(1−α)(1−	αβ(1−α)(1−	ADJ
ejpam-750	69	8	β	β	X
ejpam-750	69	9	)	)	PUNCT
ejpam-750	69	10	�	�	PROPN
ejpam-750	69	11	,	,	PUNCT
ejpam-750	69	12	(	(	PUNCT
ejpam-750	69	13	17	17	NUM
ejpam-750	69	14	)	)	PUNCT
ejpam-750	69	15	and	and	CCONJ
ejpam-750	69	16	w	w	NOUN
ejpam-750	69	17	=	=	SYM
ejpam-750	69	18	32	32	NUM
ejpam-750	69	19	p	p	NOUN
ejpam-750	69	20	αβ(1−α)(1−	αβ(1−α)(1−	NOUN
ejpam-750	69	21	β	β	NOUN
ejpam-750	69	22	)	)	PUNCT
ejpam-750	69	23	.	.	PUNCT
ejpam-750	70	1	(	(	PUNCT
ejpam-750	70	2	18	18	NUM
ejpam-750	70	3	)	)	PUNCT
ejpam-750	70	4	if	if	SCONJ
ejpam-750	70	5	β	β	NOUN
ejpam-750	70	6	has	have	VERB
ejpam-750	70	7	degree	degree	NOUN
ejpam-750	70	8	13	13	NUM
ejpam-750	70	9	over	over	ADP
ejpam-750	70	10	α	α	NOUN
ejpam-750	70	11	,	,	PUNCT
ejpam-750	70	12	then	then	ADV
ejpam-750	70	13	p	p	NOUN
ejpam-750	70	14	u(u3	u(u3	X
ejpam-750	70	15	+	+	CCONJ
ejpam-750	70	16	8w	8w	NOUN
ejpam-750	70	17	)	)	PUNCT
ejpam-750	71	1	=	=	PUNCT
ejpam-750	71	2	p	p	X
ejpam-750	71	3	w	w	PROPN
ejpam-750	71	4	(	(	PUNCT
ejpam-750	71	5	11u2	11u2	NUM
ejpam-750	71	6	+	+	NUM
ejpam-750	71	7	v	v	NOUN
ejpam-750	71	8	)	)	PUNCT
ejpam-750	71	9	.	.	PUNCT
ejpam-750	72	1	(	(	PUNCT
ejpam-750	72	2	19	19	NUM
ejpam-750	72	3	)	)	PUNCT
ejpam-750	72	4	9	9	NUM
ejpam-750	72	5	.	.	PUNCT
ejpam-750	73	1	[	[	X
ejpam-750	73	2	1	1	NUM
ejpam-750	73	3	,	,	PUNCT
ejpam-750	73	4	entry	entry	NOUN
ejpam-750	73	5	17.3.26	17.3.26	NUM
ejpam-750	73	6	,	,	PUNCT
ejpam-750	73	7	pp	pp	ADJ
ejpam-750	73	8	.	.	PUNCT
ejpam-750	74	1	391–392	391–392	NUM
ejpam-750	74	2	]	]	X
ejpam-750	74	3	if	if	SCONJ
ejpam-750	74	4	β	β	NOUN
ejpam-750	74	5	has	have	AUX
ejpam-750	74	6	degree	degree	NOUN
ejpam-750	74	7	17	17	NUM
ejpam-750	74	8	over	over	ADP
ejpam-750	74	9	α	α	NOUN
ejpam-750	74	10	,	,	PUNCT
ejpam-750	74	11	then	then	ADV
ejpam-750	74	12	m=	m=	X
ejpam-750	74	13	�	�	PROPN
ejpam-750	74	14	β	β	PROPN
ejpam-750	74	15	α	α	PROPN
ejpam-750	74	16	�	�	PROPN
ejpam-750	74	17	1/4	1/4	NUM
ejpam-750	74	18	+	+	NUM
ejpam-750	74	19	�	�	PROPN
ejpam-750	74	20	1−	1−	NUM
ejpam-750	74	21	β	β	SYM
ejpam-750	74	22	1−α	1−α	NUM
ejpam-750	74	23	�	�	PROPN
ejpam-750	74	24	1/4	1/4	NUM
ejpam-750	74	25	+	+	NUM
ejpam-750	74	26	�	�	PROPN
ejpam-750	74	27	β(1−	β(1−	NOUN
ejpam-750	74	28	β	β	X
ejpam-750	74	29	)	)	PUNCT
ejpam-750	74	30	α(1−α	α(1−α	PROPN
ejpam-750	74	31	)	)	PUNCT
ejpam-750	74	32	�	�	PROPN
ejpam-750	74	33	1/4	1/4	NUM
ejpam-750	74	34	−	−	SYM
ejpam-750	74	35	2	2	NUM
ejpam-750	74	36	�	�	PROPN
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ejpam-750	74	38	β	β	X
ejpam-750	74	39	)	)	PUNCT
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ejpam-750	74	41	)	)	PUNCT
ejpam-750	74	42	�	�	PROPN
ejpam-750	74	43	1/8	1/8	NUM
ejpam-750	74	44	¨	¨	NOUN
ejpam-750	74	45	1	1	NUM
ejpam-750	74	46	+	+	NUM
ejpam-750	74	47	�	�	PROPN
ejpam-750	74	48	β	β	X
ejpam-750	74	49	α	α	PROPN
ejpam-750	74	50	�	�	PROPN
ejpam-750	74	51	1/8	1/8	NUM
ejpam-750	74	52	+	+	NUM
ejpam-750	74	53	�	�	PROPN
ejpam-750	74	54	1−	1−	NUM
ejpam-750	74	55	β	β	PROPN
ejpam-750	74	56	1−α	1−α	NUM
ejpam-750	74	57	�	�	PROPN
ejpam-750	74	58	1/8	1/8	NUM
ejpam-750	74	59	«	«	PUNCT
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ejpam-750	74	69	β	β	X
ejpam-750	74	70	�	�	PROPN
ejpam-750	74	71	1/4	1/4	NUM
ejpam-750	74	72	+	+	NUM
ejpam-750	74	73	�	�	PROPN
ejpam-750	74	74	1−α	1−α	NUM
ejpam-750	74	75	1−	1−	NUM
ejpam-750	74	76	β	β	X
ejpam-750	74	77	�	�	PROPN
ejpam-750	74	78	1/4	1/4	NUM
ejpam-750	74	79	+	+	NUM
ejpam-750	74	80	�	�	PROPN
ejpam-750	74	81	α(1−α	α(1−α	PROPN
ejpam-750	74	82	)	)	PUNCT
ejpam-750	74	83	β(1−	β(1−	NOUN
ejpam-750	74	84	β	β	X
ejpam-750	74	85	)	)	PUNCT
ejpam-750	74	86	�	�	PROPN
ejpam-750	74	87	1/4	1/4	NUM
ejpam-750	74	88	−	−	SYM
ejpam-750	74	89	2	2	NUM
ejpam-750	74	90	�	�	PROPN
ejpam-750	74	91	α(1−α	α(1−α	PROPN
ejpam-750	74	92	)	)	PUNCT
ejpam-750	74	93	β(1−	β(1−	NOUN
ejpam-750	74	94	β	β	X
ejpam-750	74	95	)	)	PUNCT
ejpam-750	74	96	�	�	PROPN
ejpam-750	74	97	1/8	1/8	NUM
ejpam-750	74	98	¨	¨	NOUN
ejpam-750	74	99	1	1	NUM
ejpam-750	74	100	+	+	NUM
ejpam-750	74	101	�	�	PROPN
ejpam-750	74	102	α	α	PROPN
ejpam-750	74	103	β	β	PROPN
ejpam-750	74	104	�	�	PROPN
ejpam-750	74	105	1/8	1/8	NUM
ejpam-750	74	106	+	+	NUM
ejpam-750	74	107	�	�	PROPN
ejpam-750	74	108	1−α	1−α	NUM
ejpam-750	74	109	1−	1−	NUM
ejpam-750	74	110	β	β	X
ejpam-750	74	111	�	�	PROPN
ejpam-750	74	112	1/8	1/8	NUM
ejpam-750	74	113	«	«	PUNCT
ejpam-750	74	114	.	.	PUNCT
ejpam-750	75	1	(	(	PUNCT
ejpam-750	75	2	21	21	NUM
ejpam-750	75	3	)	)	PUNCT
ejpam-750	75	4	3	3	NUM
ejpam-750	75	5	.	.	PUNCT
ejpam-750	76	1	some	some	DET
ejpam-750	76	2	new	new	ADJ
ejpam-750	76	3	modular	modular	ADJ
ejpam-750	76	4	equations	equation	NOUN
ejpam-750	76	5	of	of	ADP
ejpam-750	76	6	degree	degree	NOUN
ejpam-750	76	7	four	four	NUM
ejpam-750	76	8	in	in	ADP
ejpam-750	76	9	this	this	DET
ejpam-750	76	10	section	section	NOUN
ejpam-750	76	11	,	,	PUNCT
ejpam-750	76	12	we	we	PRON
ejpam-750	76	13	establish	establish	VERB
ejpam-750	76	14	several	several	ADJ
ejpam-750	76	15	modular	modular	ADJ
ejpam-750	76	16	equations	equation	NOUN
ejpam-750	76	17	of	of	ADP
ejpam-750	76	18	degree	degree	NOUN
ejpam-750	76	19	four	four	NUM
ejpam-750	76	20	using	use	VERB
ejpam-750	76	21	ramanujan	ramanujan	NOUN
ejpam-750	76	22	’s	’s	PART
ejpam-750	76	23	modular	modular	ADJ
ejpam-750	76	24	equations	equation	NOUN
ejpam-750	76	25	.	.	PUNCT
ejpam-750	77	1	set	set	VERB
ejpam-750	77	2	p	p	NOUN
ejpam-750	77	3	:	:	PUNCT
ejpam-750	77	4	=	=	SYM
ejpam-750	77	5	ϕ(q	ϕ(q	PROPN
ejpam-750	77	6	)	)	PUNCT
ejpam-750	77	7	ϕ(q4	ϕ(q4	NUM
ejpam-750	77	8	)	)	PUNCT
ejpam-750	78	1	and	and	CCONJ
ejpam-750	78	2	q	q	NOUN
ejpam-750	78	3	:	:	PUNCT
ejpam-750	78	4	=	=	SYM
ejpam-750	78	5	ϕ(qn	ϕ(qn	PROPN
ejpam-750	78	6	)	)	PUNCT
ejpam-750	78	7	ϕ(q4n	ϕ(q4n	NOUN
ejpam-750	78	8	)	)	PUNCT
ejpam-750	78	9	.	.	PUNCT
ejpam-750	79	1	(	(	PUNCT
ejpam-750	79	2	22	22	NUM
ejpam-750	79	3	)	)	PUNCT
ejpam-750	79	4	m.	m.	NOUN
ejpam-750	79	5	naika	naika	PROPN
ejpam-750	79	6	,	,	PUNCT
ejpam-750	79	7	k.	k.	PROPN
ejpam-750	79	8	bairy	bairy	PROPN
ejpam-750	79	9	,	,	PUNCT
ejpam-750	79	10	m.	m.	NOUN
ejpam-750	79	11	manjunatha	manjunatha	PROPN
ejpam-750	79	12	/	/	SYM
ejpam-750	79	13	eur	eur	PROPN
ejpam-750	79	14	.	.	PUNCT
ejpam-750	80	1	j.	j.	PROPN
ejpam-750	80	2	pure	pure	PROPN
ejpam-750	80	3	appl	appl	PROPN
ejpam-750	80	4	.	.	PROPN
ejpam-750	80	5	math	math	PROPN
ejpam-750	80	6	,	,	PUNCT
ejpam-750	80	7	3	3	NUM
ejpam-750	80	8	(	(	PUNCT
ejpam-750	80	9	2010	2010	NUM
ejpam-750	80	10	)	)	PUNCT
ejpam-750	80	11	,	,	PUNCT
ejpam-750	80	12	924	924	NUM
ejpam-750	80	13	-	-	SYM
ejpam-750	80	14	947	947	NUM
ejpam-750	80	15	928	928	NUM
ejpam-750	80	16	employing	employing	NOUN
ejpam-750	80	17	(	(	PUNCT
ejpam-750	80	18	6	6	NUM
ejpam-750	80	19	)	)	PUNCT
ejpam-750	80	20	and	and	CCONJ
ejpam-750	80	21	(	(	PUNCT
ejpam-750	80	22	7	7	X
ejpam-750	80	23	)	)	PUNCT
ejpam-750	80	24	with	with	ADP
ejpam-750	80	25	q	q	PROPN
ejpam-750	80	26	=	=	PUNCT
ejpam-750	80	27	e−y	e−y	PROPN
ejpam-750	80	28	,	,	PUNCT
ejpam-750	80	29	we	we	PRON
ejpam-750	80	30	find	find	VERB
ejpam-750	80	31	that	that	SCONJ
ejpam-750	80	32	2	2	NUM
ejpam-750	80	33	p	p	NOUN
ejpam-750	80	34	−	−	NUM
ejpam-750	80	35	1=	1=	X
ejpam-750	80	36	(	(	PUNCT
ejpam-750	80	37	1−α)1/4	1−α)1/4	NUM
ejpam-750	80	38	and	and	CCONJ
ejpam-750	80	39	2	2	NUM
ejpam-750	80	40	q	q	NOUN
ejpam-750	80	41	−	−	NUM
ejpam-750	80	42	1=	1=	X
ejpam-750	80	43	(	(	PUNCT
ejpam-750	80	44	1−	1−	NUM
ejpam-750	80	45	β)1/4	β)1/4	NUM
ejpam-750	80	46	,	,	PUNCT
ejpam-750	80	47	(	(	PUNCT
ejpam-750	80	48	23	23	NUM
ejpam-750	80	49	)	)	PUNCT
ejpam-750	80	50	where	where	SCONJ
ejpam-750	80	51	β	β	PROPN
ejpam-750	80	52	is	be	AUX
ejpam-750	80	53	of	of	ADP
ejpam-750	80	54	degree	degree	NOUN
ejpam-750	80	55	n	n	NOUN
ejpam-750	80	56	over	over	ADP
ejpam-750	80	57	α	α	PROPN
ejpam-750	80	58	.	.	PUNCT
ejpam-750	81	1	theorem	theorem	NOUN
ejpam-750	81	2	1	1	NUM
ejpam-750	81	3	.	.	PUNCT
ejpam-750	82	1	if	if	SCONJ
ejpam-750	82	2	x	x	PROPN
ejpam-750	82	3	=	=	SYM
ejpam-750	82	4	ϕ(q)ϕ(q2	ϕ(q)ϕ(q2	PROPN
ejpam-750	82	5	)	)	PUNCT
ejpam-750	82	6	ϕ(q4)ϕ(q8	ϕ(q4)ϕ(q8	PROPN
ejpam-750	82	7	)	)	PUNCT
ejpam-750	82	8	and	and	CCONJ
ejpam-750	82	9	y	y	PROPN
ejpam-750	82	10	=	=	SYM
ejpam-750	82	11	ϕ(q)ϕ(q8	ϕ(q)ϕ(q8	PROPN
ejpam-750	82	12	)	)	PUNCT
ejpam-750	82	13	ϕ(q4)ϕ(q2	ϕ(q4)ϕ(q2	NOUN
ejpam-750	82	14	)	)	PUNCT
ejpam-750	82	15	,	,	PUNCT
ejpam-750	82	16	then	then	ADV
ejpam-750	82	17	x	x	SYM
ejpam-750	82	18	2	2	NUM
ejpam-750	82	19	−	−	NOUN
ejpam-750	82	20	2x	2x	NUM
ejpam-750	82	21	3y	3y	NUM
ejpam-750	82	22	+	+	X
ejpam-750	82	23	x	x	SYM
ejpam-750	82	24	4y	4y	NUM
ejpam-750	82	25	2	2	NUM
ejpam-750	82	26	−	−	PROPN
ejpam-750	82	27	4x	4x	NOUN
ejpam-750	82	28	y	y	PROPN
ejpam-750	82	29	+	+	CCONJ
ejpam-750	82	30	4y	4y	PROPN
ejpam-750	82	31	2	2	NUM
ejpam-750	82	32	−	−	NOUN
ejpam-750	83	1	4x	4x	NOUN
ejpam-750	83	2	y	y	PROPN
ejpam-750	83	3	3	3	NUM
ejpam-750	83	4	+	+	CCONJ
ejpam-750	83	5	4x	4x	NUM
ejpam-750	83	6	2y	2y	NUM
ejpam-750	83	7	2−	2−	NUM
ejpam-750	83	8	2x	2x	NUM
ejpam-750	83	9	3y	3y	NUM
ejpam-750	83	10	3	3	NUM
ejpam-750	83	11	+	+	CCONJ
ejpam-750	83	12	2x	2x	NUM
ejpam-750	83	13	2y	2y	NUM
ejpam-750	83	14	4	4	NUM
ejpam-750	83	15	=	=	SYM
ejpam-750	83	16	0	0	NUM
ejpam-750	83	17	.	.	PUNCT
ejpam-750	83	18	(	(	PUNCT
ejpam-750	83	19	24	24	NUM
ejpam-750	83	20	)	)	PUNCT
ejpam-750	83	21	proof	proof	NOUN
ejpam-750	83	22	.	.	PUNCT
ejpam-750	84	1	employing	employ	VERB
ejpam-750	84	2	(	(	PUNCT
ejpam-750	84	3	23	23	NUM
ejpam-750	84	4	)	)	PUNCT
ejpam-750	84	5	with	with	ADP
ejpam-750	84	6	n=	n=	ADJ
ejpam-750	84	7	2	2	NUM
ejpam-750	84	8	in	in	ADP
ejpam-750	84	9	(	(	PUNCT
ejpam-750	84	10	8)	8)	NUM
ejpam-750	84	11	,	,	PUNCT
ejpam-750	84	12	we	we	PRON
ejpam-750	84	13	find	find	VERB
ejpam-750	84	14	that	that	SCONJ
ejpam-750	84	15	(	(	PUNCT
ejpam-750	84	16	q2	q2	NOUN
ejpam-750	84	17	−	−	PROPN
ejpam-750	84	18	2q2p	2q2p	PROPN
ejpam-750	84	19	+	+	NOUN
ejpam-750	84	20	q2p2	q2p2	NOUN
ejpam-750	84	21	−	−	NOUN
ejpam-750	84	22	4q+	4q+	NUM
ejpam-750	84	23	4	4	NUM
ejpam-750	84	24	+	+	NUM
ejpam-750	84	25	4qp	4qp	ADJ
ejpam-750	84	26	−	−	PROPN
ejpam-750	84	27	4p	4p	NOUN
ejpam-750	84	28	−	−	PROPN
ejpam-750	84	29	2qp2	2qp2	NUM
ejpam-750	84	30	+	+	CCONJ
ejpam-750	84	31	2p2	2p2	NUM
ejpam-750	84	32	)	)	PUNCT
ejpam-750	84	33	(	(	PUNCT
ejpam-750	84	34	−q2	−q2	NOUN
ejpam-750	84	35	+	+	NOUN
ejpam-750	84	36	4q−	4q−	NOUN
ejpam-750	84	37	4−	4−	NUM
ejpam-750	84	38	4qp	4qp	NOUN
ejpam-750	85	1	+	+	CCONJ
ejpam-750	85	2	4p	4p	NUM
ejpam-750	85	3	+	+	CCONJ
ejpam-750	85	4	2qp2	2qp2	NUM
ejpam-750	85	5	−	−	NOUN
ejpam-750	85	6	2p2	2p2	NUM
ejpam-750	85	7	)	)	PUNCT
ejpam-750	85	8	=	=	SYM
ejpam-750	86	1	0	0	X
ejpam-750	86	2	.	.	PUNCT
ejpam-750	87	1	(	(	PUNCT
ejpam-750	87	2	25	25	NUM
ejpam-750	87	3	)	)	PUNCT
ejpam-750	87	4	by	by	ADP
ejpam-750	87	5	examining	examine	VERB
ejpam-750	87	6	the	the	DET
ejpam-750	87	7	first	first	ADJ
ejpam-750	87	8	factor	factor	NOUN
ejpam-750	87	9	near	near	ADP
ejpam-750	87	10	q	q	PROPN
ejpam-750	87	11	=	=	SYM
ejpam-750	87	12	0	0	NUM
ejpam-750	87	13	,	,	PUNCT
ejpam-750	87	14	it	it	PRON
ejpam-750	87	15	can	can	AUX
ejpam-750	87	16	be	be	AUX
ejpam-750	87	17	seen	see	VERB
ejpam-750	87	18	that	that	SCONJ
ejpam-750	87	19	there	there	PRON
ejpam-750	87	20	is	be	VERB
ejpam-750	87	21	a	a	DET
ejpam-750	87	22	neighbourhood	neighbourhood	NOUN
ejpam-750	87	23	about	about	ADP
ejpam-750	87	24	the	the	DET
ejpam-750	87	25	origin	origin	NOUN
ejpam-750	87	26	,	,	PUNCT
ejpam-750	87	27	where	where	SCONJ
ejpam-750	87	28	the	the	DET
ejpam-750	87	29	first	first	ADJ
ejpam-750	87	30	factor	factor	NOUN
ejpam-750	87	31	vanish	vanish	VERB
ejpam-750	87	32	but	but	CCONJ
ejpam-750	87	33	the	the	DET
ejpam-750	87	34	second	second	ADJ
ejpam-750	87	35	factor	factor	NOUN
ejpam-750	87	36	does	do	VERB
ejpam-750	87	37	not	not	PART
ejpam-750	87	38	.	.	PUNCT
ejpam-750	88	1	by	by	ADP
ejpam-750	88	2	the	the	DET
ejpam-750	88	3	identity	identity	NOUN
ejpam-750	88	4	theorem	theorem	VERB
ejpam-750	88	5	first	first	ADJ
ejpam-750	88	6	factor	factor	NOUN
ejpam-750	88	7	vanishes	vanish	VERB
ejpam-750	88	8	identically	identically	ADV
ejpam-750	88	9	.	.	PUNCT
ejpam-750	89	1	hence	hence	ADV
ejpam-750	89	2	,	,	PUNCT
ejpam-750	89	3	by	by	ADP
ejpam-750	89	4	using	use	VERB
ejpam-750	89	5	the	the	DET
ejpam-750	89	6	fact	fact	NOUN
ejpam-750	89	7	that	that	SCONJ
ejpam-750	89	8	x	x	X
ejpam-750	89	9	=	=	PUNCT
ejpam-750	89	10	pq	pq	PROPN
ejpam-750	89	11	and	and	CCONJ
ejpam-750	89	12	y	y	PROPN
ejpam-750	90	1	=	=	PUNCT
ejpam-750	90	2	p	p	PROPN
ejpam-750	90	3	/	/	SYM
ejpam-750	90	4	q	q	NOUN
ejpam-750	90	5	,	,	PUNCT
ejpam-750	90	6	we	we	PRON
ejpam-750	90	7	obtain	obtain	VERB
ejpam-750	90	8	(	(	PUNCT
ejpam-750	90	9	24	24	NUM
ejpam-750	90	10	)	)	PUNCT
ejpam-750	90	11	.	.	PUNCT
ejpam-750	91	1	theorem	theorem	NOUN
ejpam-750	91	2	2	2	NUM
ejpam-750	91	3	.	.	PUNCT
ejpam-750	92	1	if	if	SCONJ
ejpam-750	92	2	x	x	PROPN
ejpam-750	92	3	=	=	SYM
ejpam-750	92	4	ϕ(q)ϕ(q3	ϕ(q)ϕ(q3	NOUN
ejpam-750	92	5	)	)	PUNCT
ejpam-750	92	6	ϕ(q4)ϕ(q12	ϕ(q4)ϕ(q12	PROPN
ejpam-750	92	7	)	)	PUNCT
ejpam-750	92	8	and	and	CCONJ
ejpam-750	93	1	y	y	PROPN
ejpam-750	93	2	=	=	PUNCT
ejpam-750	93	3	ϕ(q)ϕ(q12	ϕ(q)ϕ(q12	NOUN
ejpam-750	93	4	)	)	PUNCT
ejpam-750	94	1	ϕ(q4)ϕ(q3	ϕ(q4)ϕ(q3	CCONJ
ejpam-750	94	2	)	)	PUNCT
ejpam-750	94	3	,	,	PUNCT
ejpam-750	94	4	then	then	ADV
ejpam-750	94	5	y	y	PROPN
ejpam-750	94	6	2	2	NUM
ejpam-750	94	7	+	+	CCONJ
ejpam-750	94	8	1	1	NUM
ejpam-750	94	9	y	y	SYM
ejpam-750	94	10	2	2	NUM
ejpam-750	94	11	−	−	PROPN
ejpam-750	94	12	12	12	NUM
ejpam-750	94	13	�	�	PROPN
ejpam-750	94	14	y	y	PROPN
ejpam-750	94	15	+	+	NOUN
ejpam-750	94	16	1	1	NUM
ejpam-750	94	17	y	y	PROPN
ejpam-750	94	18	�	�	PROPN
ejpam-750	94	19	+	+	CCONJ
ejpam-750	94	20	12	12	NUM
ejpam-750	94	21	�	�	NOUN
ejpam-750	94	22	p	p	NOUN
ejpam-750	94	23	x	x	NOUN
ejpam-750	94	24	+	+	CCONJ
ejpam-750	94	25	2p	2p	NUM
ejpam-750	94	26	x	x	SYM
ejpam-750	94	27	�	�	PROPN
ejpam-750	94	28	�	�	PROPN
ejpam-750	94	29	p	p	NOUN
ejpam-750	94	30	y	y	PROPN
ejpam-750	94	31	+	+	CCONJ
ejpam-750	94	32	1p	1p	PROPN
ejpam-750	94	33	y	y	PROPN
ejpam-750	94	34	�	�	PROPN
ejpam-750	94	35	=	=	SYM
ejpam-750	94	36	4	4	NUM
ejpam-750	94	37	�	�	NOUN
ejpam-750	94	38	x	x	PUNCT
ejpam-750	94	39	+	+	CCONJ
ejpam-750	94	40	4	4	NUM
ejpam-750	94	41	x	x	SYM
ejpam-750	94	42	�	�	PROPN
ejpam-750	94	43	+	+	CCONJ
ejpam-750	94	44	30	30	NUM
ejpam-750	94	45	.	.	PUNCT
ejpam-750	95	1	(	(	PUNCT
ejpam-750	95	2	26	26	NUM
ejpam-750	95	3	)	)	PUNCT
ejpam-750	95	4	proof	proof	NOUN
ejpam-750	95	5	.	.	PUNCT
ejpam-750	96	1	employing	employ	VERB
ejpam-750	96	2	(	(	PUNCT
ejpam-750	96	3	23	23	NUM
ejpam-750	96	4	)	)	PUNCT
ejpam-750	96	5	with	with	ADP
ejpam-750	96	6	n=	n=	ADJ
ejpam-750	96	7	3	3	NUM
ejpam-750	96	8	in	in	ADP
ejpam-750	96	9	(	(	PUNCT
ejpam-750	96	10	9	9	NUM
ejpam-750	96	11	)	)	PUNCT
ejpam-750	96	12	,	,	PUNCT
ejpam-750	96	13	we	we	PRON
ejpam-750	96	14	find	find	VERB
ejpam-750	96	15	that	that	SCONJ
ejpam-750	96	16	24pq2	24pq2	NUM
ejpam-750	96	17	+	+	SYM
ejpam-750	96	18	24qp2−	24qp2−	NUM
ejpam-750	96	19	12pq3−	12pq3−	NUM
ejpam-750	96	20	30q2p2	30q2p2	NOUN
ejpam-750	96	21	−	−	PROPN
ejpam-750	96	22	12qp3	12qp3	NOUN
ejpam-750	96	23	+	+	SYM
ejpam-750	96	24	12p2q3	12p2q3	NOUN
ejpam-750	96	25	+	+	NUM
ejpam-750	96	26	12p3q2	12p3q2	NOUN
ejpam-750	96	27	−	−	PROPN
ejpam-750	96	28	4p3q3	4p3q3	NUM
ejpam-750	96	29	−	−	PROPN
ejpam-750	96	30	16pq+	16pq+	NUM
ejpam-750	96	31	p4	p4	PROPN
ejpam-750	96	32	+	+	PROPN
ejpam-750	96	33	q4	q4	NOUN
ejpam-750	96	34	=	=	SYM
ejpam-750	96	35	0	0	PROPN
ejpam-750	96	36	.	.	PUNCT
ejpam-750	97	1	(	(	PUNCT
ejpam-750	97	2	27	27	NUM
ejpam-750	97	3	)	)	PUNCT
ejpam-750	97	4	using	use	VERB
ejpam-750	97	5	the	the	DET
ejpam-750	97	6	fact	fact	NOUN
ejpam-750	97	7	that	that	SCONJ
ejpam-750	97	8	x	x	X
ejpam-750	97	9	=	=	PUNCT
ejpam-750	97	10	pq	pq	PROPN
ejpam-750	97	11	and	and	CCONJ
ejpam-750	97	12	y	y	PROPN
ejpam-750	97	13	=	=	SYM
ejpam-750	98	1	p	p	PROPN
ejpam-750	98	2	/	/	SYM
ejpam-750	98	3	q	q	AUX
ejpam-750	98	4	in	in	ADP
ejpam-750	98	5	(	(	PUNCT
ejpam-750	98	6	27	27	NUM
ejpam-750	98	7	)	)	PUNCT
ejpam-750	98	8	,	,	PUNCT
ejpam-750	98	9	we	we	PRON
ejpam-750	98	10	obtain	obtain	VERB
ejpam-750	98	11	(	(	PUNCT
ejpam-750	98	12	26	26	NUM
ejpam-750	98	13	)	)	PUNCT
ejpam-750	98	14	.	.	PUNCT
ejpam-750	99	1	theorem	theorem	NOUN
ejpam-750	99	2	3	3	NUM
ejpam-750	99	3	.	.	PUNCT
ejpam-750	100	1	if	if	SCONJ
ejpam-750	100	2	x	x	PROPN
ejpam-750	100	3	=	=	SYM
ejpam-750	100	4	ϕ(q)ϕ(q4	ϕ(q)ϕ(q4	NOUN
ejpam-750	100	5	)	)	PUNCT
ejpam-750	100	6	ϕ(q4)ϕ(q16	ϕ(q4)ϕ(q16	NUM
ejpam-750	100	7	)	)	PUNCT
ejpam-750	100	8	and	and	CCONJ
ejpam-750	100	9	y	y	PROPN
ejpam-750	100	10	=	=	PUNCT
ejpam-750	100	11	ϕ(q)ϕ(q16	ϕ(q)ϕ(q16	ADJ
ejpam-750	100	12	)	)	PUNCT
ejpam-750	100	13	ϕ(q4)ϕ(q4	ϕ(q4)ϕ(q4	PROPN
ejpam-750	100	14	)	)	PUNCT
ejpam-750	100	15	,	,	PUNCT
ejpam-750	100	16	then	then	ADV
ejpam-750	100	17	x	x	X
ejpam-750	100	18	4y	4y	NUM
ejpam-750	100	19	2	2	NUM
ejpam-750	100	20	+	+	NUM
ejpam-750	100	21	6x	6x	NOUN
ejpam-750	100	22	3y	3y	NOUN
ejpam-750	101	1	+	+	CCONJ
ejpam-750	101	2	x	x	SYM
ejpam-750	101	3	2	2	NUM
ejpam-750	101	4	+	+	NUM
ejpam-750	101	5	16y	16y	NUM
ejpam-750	101	6	2	2	NUM
ejpam-750	101	7	+	+	NUM
ejpam-750	101	8	24x	24x	NOUN
ejpam-750	101	9	y	y	PROPN
ejpam-750	101	10	−	−	PROPN
ejpam-750	101	11	4	4	NUM
ejpam-750	101	12	p	p	NOUN
ejpam-750	101	13	x	x	X
ejpam-750	101	14	y	y	PROPN
ejpam-750	101	15	�	�	PROPN
ejpam-750	101	16	x	x	PROPN
ejpam-750	102	1	3y	3y	PROPN
ejpam-750	102	2	+	+	X
ejpam-750	102	3	x	x	SYM
ejpam-750	102	4	2	2	NUM
ejpam-750	102	5	+	+	NUM
ejpam-750	102	6	2x	2x	NUM
ejpam-750	102	7	+	+	CCONJ
ejpam-750	102	8	8y	8y	NUM
ejpam-750	102	9	�	�	X
ejpam-750	102	10	=	=	SYM
ejpam-750	102	11	0	0	PROPN
ejpam-750	102	12	.	.	PUNCT
ejpam-750	103	1	(	(	PUNCT
ejpam-750	103	2	28	28	NUM
ejpam-750	103	3	)	)	PUNCT
ejpam-750	103	4	proof	proof	NOUN
ejpam-750	103	5	.	.	PUNCT
ejpam-750	104	1	employing	employ	VERB
ejpam-750	104	2	(	(	PUNCT
ejpam-750	104	3	23	23	NUM
ejpam-750	104	4	)	)	PUNCT
ejpam-750	104	5	with	with	ADP
ejpam-750	104	6	n=	n=	ADJ
ejpam-750	104	7	4	4	NUM
ejpam-750	104	8	in	in	ADP
ejpam-750	104	9	(	(	PUNCT
ejpam-750	104	10	10	10	NUM
ejpam-750	104	11	)	)	PUNCT
ejpam-750	104	12	,	,	PUNCT
ejpam-750	104	13	we	we	PRON
ejpam-750	104	14	find	find	VERB
ejpam-750	104	15	that	that	SCONJ
ejpam-750	104	16	q4	q4	PROPN
ejpam-750	104	17	+	+	CCONJ
ejpam-750	104	18	16−	16−	NUM
ejpam-750	104	19	32q+	32q+	NUM
ejpam-750	104	20	24q2−	24q2−	NUM
ejpam-750	104	21	8q3+q4p4	8q3+q4p4	NUM
ejpam-750	104	22	−	−	PROPN
ejpam-750	104	23	4q4p3	4q4p3	NOUN
ejpam-750	104	24	+	+	CCONJ
ejpam-750	105	1	6q4p2	6q4p2	ADV
ejpam-750	105	2	−	−	NUM
ejpam-750	105	3	4q4p	4q4p	NUM
ejpam-750	105	4	=	=	SYM
ejpam-750	105	5	0	0	NUM
ejpam-750	105	6	.	.	PUNCT
ejpam-750	105	7	(	(	PUNCT
ejpam-750	105	8	29	29	NUM
ejpam-750	105	9	)	)	PUNCT
ejpam-750	105	10	using	use	VERB
ejpam-750	105	11	the	the	DET
ejpam-750	105	12	fact	fact	NOUN
ejpam-750	105	13	that	that	SCONJ
ejpam-750	105	14	x	x	X
ejpam-750	105	15	=	=	PUNCT
ejpam-750	105	16	pq	pq	PROPN
ejpam-750	105	17	and	and	CCONJ
ejpam-750	105	18	y	y	PROPN
ejpam-750	105	19	=	=	SYM
ejpam-750	106	1	p	p	PROPN
ejpam-750	106	2	/	/	SYM
ejpam-750	106	3	q	q	NOUN
ejpam-750	106	4	in	in	ADP
ejpam-750	106	5	(	(	PUNCT
ejpam-750	106	6	29	29	NUM
ejpam-750	106	7	)	)	PUNCT
ejpam-750	106	8	,	,	PUNCT
ejpam-750	106	9	we	we	PRON
ejpam-750	106	10	obtain	obtain	VERB
ejpam-750	106	11	(	(	PUNCT
ejpam-750	106	12	28	28	NUM
ejpam-750	106	13	)	)	PUNCT
ejpam-750	106	14	.	.	PUNCT
ejpam-750	107	1	m.	m.	NOUN
ejpam-750	107	2	naika	naika	PROPN
ejpam-750	107	3	,	,	PUNCT
ejpam-750	107	4	k.	k.	PROPN
ejpam-750	107	5	bairy	bairy	PROPN
ejpam-750	107	6	,	,	PUNCT
ejpam-750	107	7	m.	m.	NOUN
ejpam-750	107	8	manjunatha	manjunatha	PROPN
ejpam-750	107	9	/	/	SYM
ejpam-750	107	10	eur	eur	PROPN
ejpam-750	107	11	.	.	PUNCT
ejpam-750	108	1	j.	j.	PROPN
ejpam-750	108	2	pure	pure	PROPN
ejpam-750	108	3	appl	appl	PROPN
ejpam-750	108	4	.	.	PROPN
ejpam-750	108	5	math	math	PROPN
ejpam-750	108	6	,	,	PUNCT
ejpam-750	108	7	3	3	NUM
ejpam-750	108	8	(	(	PUNCT
ejpam-750	108	9	2010	2010	NUM
ejpam-750	108	10	)	)	PUNCT
ejpam-750	108	11	,	,	PUNCT
ejpam-750	108	12	924	924	NUM
ejpam-750	108	13	-	-	SYM
ejpam-750	108	14	947	947	NUM
ejpam-750	108	15	929	929	NUM
ejpam-750	108	16	theorem	theorem	NOUN
ejpam-750	108	17	4	4	NUM
ejpam-750	108	18	.	.	PUNCT
ejpam-750	109	1	if	if	SCONJ
ejpam-750	109	2	x	x	PROPN
ejpam-750	109	3	=	=	SYM
ejpam-750	109	4	ϕ(q)ϕ(q5	ϕ(q)ϕ(q5	PROPN
ejpam-750	109	5	)	)	PUNCT
ejpam-750	109	6	ϕ(q4)ϕ(q20	ϕ(q4)ϕ(q20	NOUN
ejpam-750	109	7	)	)	PUNCT
ejpam-750	109	8	and	and	CCONJ
ejpam-750	109	9	q	q	NOUN
ejpam-750	109	10	=	=	NOUN
ejpam-750	109	11	ϕ(q)ϕ(q20	ϕ(q)ϕ(q20	NOUN
ejpam-750	109	12	)	)	PUNCT
ejpam-750	109	13	ϕ(q4)ϕ(q5	ϕ(q4)ϕ(q5	PROPN
ejpam-750	109	14	)	)	PUNCT
ejpam-750	109	15	,	,	PUNCT
ejpam-750	109	16	then	then	ADV
ejpam-750	109	17	y	y	PROPN
ejpam-750	109	18	3	3	NUM
ejpam-750	109	19	+	+	SYM
ejpam-750	109	20	1	1	NUM
ejpam-750	109	21	y	y	PROPN
ejpam-750	109	22	3	3	NUM
ejpam-750	109	23	−	−	PROPN
ejpam-750	109	24	70	70	NUM
ejpam-750	109	25	�	�	PROPN
ejpam-750	109	26	y	y	PROPN
ejpam-750	109	27	2	2	NUM
ejpam-750	110	1	+	+	CCONJ
ejpam-750	110	2	1	1	NUM
ejpam-750	110	3	y	y	SYM
ejpam-750	110	4	2	2	NUM
ejpam-750	110	5	�	�	NOUN
ejpam-750	110	6	−	−	PROPN
ejpam-750	110	7	785	785	NUM
ejpam-750	110	8	�	�	PROPN
ejpam-750	110	9	y	y	PROPN
ejpam-750	110	10	+	+	NOUN
ejpam-750	110	11	1	1	NUM
ejpam-750	110	12	y	y	PROPN
ejpam-750	110	13	�	�	PROPN
ejpam-750	110	14	+	+	CCONJ
ejpam-750	110	15	160	160	NUM
ejpam-750	110	16			NOUN
ejpam-750	110	17			NOUN
ejpam-750	111	1	p	p	X
ejpam-750	111	2	y	y	PROPN
ejpam-750	111	3	3	3	NUM
ejpam-750	111	4	+	+	CCONJ
ejpam-750	111	5	1	1	NUM
ejpam-750	111	6	p	p	NOUN
ejpam-750	111	7	y	y	PROPN
ejpam-750	111	8	3	3	NUM
ejpam-750	111	9			PROPN
ejpam-750	111	10			PROPN
ejpam-750	111	11	×	×	NOUN
ejpam-750	111	12	�	�	NOUN
ejpam-750	111	13	p	p	NOUN
ejpam-750	111	14	x	x	NOUN
ejpam-750	111	15	+	+	NUM
ejpam-750	111	16	2p	2p	NUM
ejpam-750	111	17	x	x	SYM
ejpam-750	111	18	�	�	PROPN
ejpam-750	111	19	+	+	CCONJ
ejpam-750	111	20	80	80	NUM
ejpam-750	111	21	�	�	PROPN
ejpam-750	111	22	p	p	NOUN
ejpam-750	111	23	y	y	PROPN
ejpam-750	111	24	+	+	CCONJ
ejpam-750	111	25	1p	1p	PROPN
ejpam-750	111	26	y	y	PROPN
ejpam-750	111	27	�	�	PROPN
ejpam-750	111	28			PROPN
ejpam-750	111	29			NOUN
ejpam-750	111	30	p	p	X
ejpam-750	111	31	x	x	SYM
ejpam-750	111	32	3	3	NUM
ejpam-750	111	33	+	+	NUM
ejpam-750	111	34	8	8	NUM
ejpam-750	111	35	p	p	NOUN
ejpam-750	111	36	x	x	SYM
ejpam-750	111	37	3	3	NUM
ejpam-750	111	38	+	+	SYM
ejpam-750	111	39	10	10	NUM
ejpam-750	111	40	�	�	NOUN
ejpam-750	111	41	p	p	NOUN
ejpam-750	111	42	x	x	NOUN
ejpam-750	112	1	+	+	CCONJ
ejpam-750	112	2	2p	2p	NUM
ejpam-750	112	3	x	x	SYM
ejpam-750	112	4	�	�	PROPN
ejpam-750	112	5			PROPN
ejpam-750	112	6			PROPN
ejpam-750	112	7	=	=	SYM
ejpam-750	112	8	80	80	NUM
ejpam-750	112	9	�	�	NOUN
ejpam-750	112	10	x	x	PUNCT
ejpam-750	113	1	+	+	CCONJ
ejpam-750	113	2	4	4	NUM
ejpam-750	113	3	x	x	SYM
ejpam-750	113	4	�	�	X
ejpam-750	113	5	�	�	PROPN
ejpam-750	113	6	5	5	NUM
ejpam-750	113	7	+	+	SYM
ejpam-750	113	8	2	2	NUM
ejpam-750	113	9	�	�	PROPN
ejpam-750	113	10	y	y	PROPN
ejpam-750	113	11	+	+	NOUN
ejpam-750	113	12	1	1	NUM
ejpam-750	113	13	y	y	PROPN
ejpam-750	113	14	�	�	PROPN
ejpam-750	113	15	�	�	PROPN
ejpam-750	113	16	+	+	CCONJ
ejpam-750	113	17	16	16	NUM
ejpam-750	113	18	�	�	NOUN
ejpam-750	113	19	x	x	SYM
ejpam-750	113	20	2	2	NUM
ejpam-750	113	21	+	+	CCONJ
ejpam-750	113	22	16	16	NUM
ejpam-750	113	23	x	x	SYM
ejpam-750	113	24	2	2	NUM
ejpam-750	113	25	�	�	PROPN
ejpam-750	113	26	+	+	CCONJ
ejpam-750	113	27	1620	1620	NUM
ejpam-750	113	28	.	.	PUNCT
ejpam-750	114	1	(	(	PUNCT
ejpam-750	114	2	30	30	X
ejpam-750	114	3	)	)	PUNCT
ejpam-750	114	4	proof	proof	NOUN
ejpam-750	114	5	.	.	PUNCT
ejpam-750	115	1	employing	employ	VERB
ejpam-750	115	2	(	(	PUNCT
ejpam-750	115	3	23	23	NUM
ejpam-750	115	4	)	)	PUNCT
ejpam-750	115	5	with	with	ADP
ejpam-750	115	6	n=	n=	ADJ
ejpam-750	115	7	5	5	NUM
ejpam-750	115	8	in	in	ADP
ejpam-750	115	9	(	(	PUNCT
ejpam-750	115	10	11	11	NUM
ejpam-750	115	11	)	)	PUNCT
ejpam-750	115	12	,	,	PUNCT
ejpam-750	115	13	we	we	PRON
ejpam-750	115	14	find	find	VERB
ejpam-750	115	15	that	that	SCONJ
ejpam-750	115	16	16384	16384	NUM
ejpam-750	115	17	+	+	SYM
ejpam-750	115	18	147456pq+1024ap2q2	147456pq+1024ap2q2	NUM
ejpam-750	115	19	−	−	PROPN
ejpam-750	115	20	128ap5q6	128ap5q6	NUM
ejpam-750	115	21	−	−	PROPN
ejpam-750	115	22	128ap6q5	128ap6q5	NUM
ejpam-750	115	23	+	+	SYM
ejpam-750	115	24	32ap6q6	32ap6q6	NUM
ejpam-750	115	25	−	−	PROPN
ejpam-750	115	26	2048ap2q3	2048ap2q3	NUM
ejpam-750	115	27	+	+	PROPN
ejpam-750	115	28	1536ap2q4	1536ap2q4	NUM
ejpam-750	115	29	−	−	PROPN
ejpam-750	115	30	2048ap3q2	2048ap3q2	NUM
ejpam-750	115	31	+	+	NUM
ejpam-750	115	32	4096ap3q3	4096ap3q3	NUM
ejpam-750	115	33	−	−	NOUN
ejpam-750	115	34	3072ap3q4	3072ap3q4	NUM
ejpam-750	116	1	+	+	PROPN
ejpam-750	117	1	1536ap4q2	1536ap4q2	NUM
ejpam-750	117	2	−	−	NOUN
ejpam-750	117	3	3072ap4q3	3072ap4q3	NUM
ejpam-750	117	4	+	+	CCONJ
ejpam-750	117	5	2720ap4q4	2720ap4q4	NUM
ejpam-750	117	6	+	+	SYM
ejpam-750	117	7	1024ap3q5	1024ap3q5	NUM
ejpam-750	117	8	−	−	NUM
ejpam-750	117	9	96ap3q6	96ap3q6	NOUN
ejpam-750	117	10	−	−	PROPN
ejpam-750	117	11	1184ap4q5	1184ap4q5	NUM
ejpam-750	118	1	+	+	CCONJ
ejpam-750	118	2	1024ap5q3	1024ap5q3	NUM
ejpam-750	118	3	−	−	NOUN
ejpam-750	119	1	1184ap5q4	1184ap5q4	NUM
ejpam-750	119	2	+	+	SYM
ejpam-750	119	3	176ap4q6	176ap4q6	NUM
ejpam-750	119	4	−	−	NUM
ejpam-750	119	5	96ap6q3	96ap6q3	NUM
ejpam-750	119	6	+	+	CCONJ
ejpam-750	119	7	176ap6q4−	176ap6q4−	NUM
ejpam-750	119	8	512ap2q5	512ap2q5	NUM
ejpam-750	119	9	+	+	CCONJ
ejpam-750	119	10	48ap2q6−	48ap2q6−	PROPN
ejpam-750	119	11	512ap5q2	512ap5q2	NUM
ejpam-750	119	12	+	+	CCONJ
ejpam-750	119	13	228864p2q2	228864p2q2	NUM
ejpam-750	120	1	+	+	SYM
ejpam-750	120	2	64q6	64q6	NUM
ejpam-750	120	3	+	+	NUM
ejpam-750	120	4	48ap6q2	48ap6q2	NUM
ejpam-750	121	1	+	+	CCONJ
ejpam-750	121	2	61440p2	61440p2	NOUN
ejpam-750	121	3	+	+	CCONJ
ejpam-750	121	4	61440q2−	61440q2−	NUM
ejpam-750	121	5	184320pq2−	184320pq2−	NUM
ejpam-750	121	6	184320p2q−	184320p2q−	NUM
ejpam-750	121	7	960p5q4	960p5q4	NOUN
ejpam-750	121	8	+	+	CCONJ
ejpam-750	121	9	122880pq3−	122880pq3−	NUM
ejpam-750	121	10	43776q4p	43776q4p	NUM
ejpam-750	121	11	−	−	NUM
ejpam-750	122	1	150528q3p2	150528q3p2	NUM
ejpam-750	123	1	+	+	PUNCT
ejpam-750	123	2	122880p3q−	122880p3q−	NUM
ejpam-750	123	3	150528p3q2	150528p3q2	PROPN
ejpam-750	124	1	+	+	CCONJ
ejpam-750	125	1	52416p2q4	52416p2q4	NUM
ejpam-750	125	2	+	+	SYM
ejpam-750	125	3	96256p3q3−	96256p3q3−	NUM
ejpam-750	125	4	43776p4q+	43776p4q+	NUM
ejpam-750	125	5	52416p4q2	52416p4q2	NUM
ejpam-750	125	6	+	+	CCONJ
ejpam-750	125	7	6912q5p	6912q5p	NUM
ejpam-750	125	8	−	−	NOUN
ejpam-750	125	9	7872p2q5	7872p2q5	NUM
ejpam-750	125	10	−	−	NUM
ejpam-750	126	1	31872p3q4	31872p3q4	NUM
ejpam-750	126	2	−	−	NOUN
ejpam-750	127	1	31872p4q3	31872p4q3	NUM
ejpam-750	127	2	−	−	PROPN
ejpam-750	127	3	192q6p	192q6p	NUM
ejpam-750	127	4	+	+	SYM
ejpam-750	127	5	192q6p2	192q6p2	NUM
ejpam-750	128	1	+	+	CCONJ
ejpam-750	128	2	4224q5p3	4224q5p3	NUM
ejpam-750	128	3	+	+	NUM
ejpam-750	128	4	9600q4p4	9600q4p4	NUM
ejpam-750	128	5	+	+	CCONJ
ejpam-750	129	1	6912p5q−	6912p5q−	NUM
ejpam-750	129	2	7872p5q2	7872p5q2	NUM
ejpam-750	129	3	+	+	NUM
ejpam-750	129	4	4224p5q3	4224p5q3	NUM
ejpam-750	129	5	−	−	NUM
ejpam-750	129	6	64p3q6−	64p3q6−	NUM
ejpam-750	129	7	960p4q5	960p4q5	NUM
ejpam-750	129	8	−	−	PROPN
ejpam-750	129	9	192p6q+	192p6q+	PROPN
ejpam-750	129	10	192p6q2	192p6q2	NUM
ejpam-750	130	1	−	−	PROPN
ejpam-750	130	2	64p6q3	64p6q3	PROPN
ejpam-750	130	3	+	+	CCONJ
ejpam-750	130	4	672ap5q5−	672ap5q5−	NUM
ejpam-750	130	5	49152p	49152p	NOUN
ejpam-750	130	6	−	−	ADP
ejpam-750	130	7	49152q+	49152q+	NUM
ejpam-750	130	8	64p6	64p6	NUM
ejpam-750	130	9	−	−	NUM
ejpam-750	130	10	40960q3	40960q3	NUM
ejpam-750	130	11	+	+	X
ejpam-750	130	12	14592q4−	14592q4−	NUM
ejpam-750	130	13	40960p3	40960p3	NUM
ejpam-750	130	14	+	+	PROPN
ejpam-750	130	15	14592p4−	14592p4−	NUM
ejpam-750	130	16	2304q5−	2304q5−	NUM
ejpam-750	130	17	2304p5	2304p5	NOUN
ejpam-750	130	18	=	=	SYM
ejpam-750	130	19	0	0	PROPN
ejpam-750	130	20	,	,	PUNCT
ejpam-750	130	21	(	(	PUNCT
ejpam-750	130	22	31	31	NUM
ejpam-750	130	23	)	)	PUNCT
ejpam-750	130	24	where	where	SCONJ
ejpam-750	130	25	a	a	DET
ejpam-750	130	26	=	=	X
ejpam-750	130	27	(	(	PUNCT
ejpam-750	130	28	αβ)1/2	αβ)1/2	PROPN
ejpam-750	130	29	.	.	PUNCT
ejpam-750	131	1	isolating	isolate	VERB
ejpam-750	131	2	the	the	DET
ejpam-750	131	3	terms	term	NOUN
ejpam-750	131	4	having	have	VERB
ejpam-750	131	5	a	a	DET
ejpam-750	131	6	on	on	ADP
ejpam-750	131	7	one	one	NUM
ejpam-750	131	8	side	side	NOUN
ejpam-750	131	9	of	of	ADP
ejpam-750	131	10	the	the	DET
ejpam-750	131	11	equation	equation	NOUN
ejpam-750	131	12	and	and	CCONJ
ejpam-750	131	13	squaring	square	VERB
ejpam-750	131	14	both	both	DET
ejpam-750	131	15	sides	side	NOUN
ejpam-750	131	16	,	,	PUNCT
ejpam-750	131	17	we	we	PRON
ejpam-750	131	18	deduce	deduce	VERB
ejpam-750	131	19	that	that	PRON
ejpam-750	131	20	(	(	PUNCT
ejpam-750	131	21	−256pq−	−256pq−	NOUN
ejpam-750	131	22	1600p2q2	1600p2q2	NUM
ejpam-750	131	23	+	+	CCONJ
ejpam-750	131	24	640pq2	640pq2	NOUN
ejpam-750	131	25	+	+	NOUN
ejpam-750	131	26	640p2q−	640p2q−	NUM
ejpam-750	131	27	640pq3	640pq3	NUM
ejpam-750	131	28	+	+	NUM
ejpam-750	131	29	320q4p	320q4p	NUM
ejpam-750	131	30	+	+	CCONJ
ejpam-750	131	31	1600q3p2	1600q3p2	NUM
ejpam-750	131	32	−	−	ADP
ejpam-750	131	33	640p3q+	640p3q+	PROPN
ejpam-750	131	34	1600p3q2−	1600p3q2−	NUM
ejpam-750	131	35	785p2q4−	785p2q4−	NUM
ejpam-750	131	36	1620p3q3	1620p3q3	NUM
ejpam-750	131	37	+	+	CCONJ
ejpam-750	131	38	320p4q−	320p4q−	NUM
ejpam-750	131	39	785p4q2−	785p4q2−	NOUN
ejpam-750	131	40	70q5p	70q5p	NUM
ejpam-750	131	41	+	+	CCONJ
ejpam-750	131	42	160p2q5	160p2q5	NUM
ejpam-750	131	43	+	+	NOUN
ejpam-750	131	44	800p3q4	800p3q4	NUM
ejpam-750	131	45	+	+	CCONJ
ejpam-750	131	46	800p4q3−	800p4q3−	PROPN
ejpam-750	131	47	160q5p3	160q5p3	NUM
ejpam-750	132	1	−	−	NUM
ejpam-750	132	2	400q4p4	400q4p4	NOUN
ejpam-750	132	3	−	−	PROPN
ejpam-750	132	4	70p5q+	70p5q+	NOUN
ejpam-750	132	5	160p5q2	160p5q2	NUM
ejpam-750	132	6	−	−	PROPN
ejpam-750	132	7	160p5q3	160p5q3	NUM
ejpam-750	133	1	+	+	SYM
ejpam-750	133	2	80p4q5	80p4q5	NOUN
ejpam-750	133	3	+	+	CCONJ
ejpam-750	133	4	80p5q4+q6	80p5q4+q6	NUM
ejpam-750	133	5	+	+	CCONJ
ejpam-750	133	6	p6	p6	ADJ
ejpam-750	133	7	−	−	PROPN
ejpam-750	133	8	16p5q5)(256pq+	16p5q5)(256pq+	NOUN
ejpam-750	133	9	1600p2q2	1600p2q2	NUM
ejpam-750	133	10	−	−	ADP
ejpam-750	133	11	640pq2−	640pq2−	NUM
ejpam-750	133	12	640p2q+	640p2q+	NUM
ejpam-750	133	13	p6q6	p6q6	X
ejpam-750	134	1	+	+	CCONJ
ejpam-750	134	2	640pq3−	640pq3−	PROPN
ejpam-750	134	3	320q4p	320q4p	NUM
ejpam-750	134	4	−	−	NOUN
ejpam-750	134	5	1600q3p2	1600q3p2	NUM
ejpam-750	135	1	+	+	CCONJ
ejpam-750	136	1	640p3q	640p3q	NUM
ejpam-750	136	2	−	−	NUM
ejpam-750	136	3	1600p3q2	1600p3q2	NUM
ejpam-750	136	4	+	+	CCONJ
ejpam-750	136	5	815p2q4	815p2q4	NUM
ejpam-750	136	6	+	+	CCONJ
ejpam-750	136	7	1620p3q3−	1620p3q3−	NUM
ejpam-750	136	8	320p4q+	320p4q+	NUM
ejpam-750	136	9	815p4q2	815p4q2	NUM
ejpam-750	137	1	+	+	CCONJ
ejpam-750	137	2	70q5p	70q5p	NUM
ejpam-750	137	3	−	−	NOUN
ejpam-750	137	4	190p2q5	190p2q5	NUM
ejpam-750	138	1	−	−	NUM
ejpam-750	138	2	860p3q4−	860p3q4−	NUM
ejpam-750	138	3	860p4q3−	860p4q3−	NUM
ejpam-750	138	4	6q6p	6q6p	NUM
ejpam-750	139	1	+	+	CCONJ
ejpam-750	139	2	15q6p2	15q6p2	NUM
ejpam-750	139	3	+	+	CCONJ
ejpam-750	139	4	220q5p3	220q5p3	NUM
ejpam-750	139	5	+	+	SYM
ejpam-750	139	6	490q4p4	490q4p4	NUM
ejpam-750	140	1	+	+	CCONJ
ejpam-750	140	2	70p5q	70p5q	NUM
ejpam-750	140	3	−	−	NOUN
ejpam-750	140	4	190p5q2	190p5q2	NUM
ejpam-750	140	5	+	+	SYM
ejpam-750	140	6	220p5q3−	220p5q3−	PROPN
ejpam-750	140	7	20p3q6	20p3q6	NOUN
ejpam-750	140	8	−	−	PROPN
ejpam-750	140	9	140p4q5	140p4q5	NUM
ejpam-750	140	10	−	−	PROPN
ejpam-750	140	11	140p5q4	140p5q4	NUM
ejpam-750	141	1	−	−	NOUN
ejpam-750	141	2	6p6q+	6p6q+	NOUN
ejpam-750	141	3	15p6q2	15p6q2	NOUN
ejpam-750	141	4	−	−	PROPN
ejpam-750	141	5	20p6q3	20p6q3	NUM
ejpam-750	142	1	+	+	PROPN
ejpam-750	142	2	q6	q6	PROPN
ejpam-750	142	3	+	+	CCONJ
ejpam-750	142	4	p6	p6	ADJ
ejpam-750	142	5	+	+	CCONJ
ejpam-750	142	6	15p4q6	15p4q6	NOUN
ejpam-750	142	7	+	+	CCONJ
ejpam-750	142	8	46p5q5−	46p5q5−	NUM
ejpam-750	142	9	6p5q6	6p5q6	NOUN
ejpam-750	142	10	+	+	NOUN
ejpam-750	142	11	15p6q4	15p6q4	NUM
ejpam-750	142	12	−	−	NOUN
ejpam-750	142	13	6p6q5	6p6q5	NOUN
ejpam-750	142	14	)	)	PUNCT
ejpam-750	142	15	=	=	SYM
ejpam-750	142	16	0	0	X
ejpam-750	142	17	.	.	PUNCT
ejpam-750	143	1	(	(	PUNCT
ejpam-750	143	2	32	32	NUM
ejpam-750	143	3	)	)	PUNCT
ejpam-750	143	4	m.	m.	NOUN
ejpam-750	143	5	naika	naika	PROPN
ejpam-750	143	6	,	,	PUNCT
ejpam-750	143	7	k.	k.	PROPN
ejpam-750	143	8	bairy	bairy	PROPN
ejpam-750	143	9	,	,	PUNCT
ejpam-750	143	10	m.	m.	NOUN
ejpam-750	143	11	manjunatha	manjunatha	PROPN
ejpam-750	143	12	/	/	SYM
ejpam-750	143	13	eur	eur	PROPN
ejpam-750	143	14	.	.	PUNCT
ejpam-750	144	1	j.	j.	PROPN
ejpam-750	144	2	pure	pure	PROPN
ejpam-750	144	3	appl	appl	PROPN
ejpam-750	144	4	.	.	PROPN
ejpam-750	144	5	math	math	PROPN
ejpam-750	144	6	,	,	PUNCT
ejpam-750	144	7	3	3	NUM
ejpam-750	144	8	(	(	PUNCT
ejpam-750	144	9	2010	2010	NUM
ejpam-750	144	10	)	)	PUNCT
ejpam-750	144	11	,	,	PUNCT
ejpam-750	144	12	924	924	NUM
ejpam-750	144	13	-	-	SYM
ejpam-750	144	14	947	947	NUM
ejpam-750	144	15	930	930	NUM
ejpam-750	144	16	by	by	ADP
ejpam-750	144	17	examining	examine	VERB
ejpam-750	144	18	the	the	DET
ejpam-750	144	19	first	first	ADJ
ejpam-750	144	20	factor	factor	NOUN
ejpam-750	144	21	near	near	ADP
ejpam-750	144	22	q	q	PROPN
ejpam-750	144	23	=	=	SYM
ejpam-750	144	24	0	0	NUM
ejpam-750	144	25	,	,	PUNCT
ejpam-750	144	26	it	it	PRON
ejpam-750	144	27	can	can	AUX
ejpam-750	144	28	be	be	AUX
ejpam-750	144	29	seen	see	VERB
ejpam-750	144	30	that	that	SCONJ
ejpam-750	144	31	there	there	PRON
ejpam-750	144	32	is	be	VERB
ejpam-750	144	33	a	a	DET
ejpam-750	144	34	neighbourhood	neighbourhood	NOUN
ejpam-750	144	35	about	about	ADP
ejpam-750	144	36	the	the	DET
ejpam-750	144	37	origin	origin	NOUN
ejpam-750	144	38	,	,	PUNCT
ejpam-750	144	39	where	where	SCONJ
ejpam-750	144	40	the	the	DET
ejpam-750	144	41	first	first	ADJ
ejpam-750	144	42	factor	factor	NOUN
ejpam-750	144	43	vanish	vanish	VERB
ejpam-750	144	44	but	but	CCONJ
ejpam-750	144	45	the	the	DET
ejpam-750	144	46	second	second	ADJ
ejpam-750	144	47	factor	factor	NOUN
ejpam-750	144	48	does	do	VERB
ejpam-750	144	49	not	not	PART
ejpam-750	144	50	.	.	PUNCT
ejpam-750	145	1	by	by	ADP
ejpam-750	145	2	the	the	DET
ejpam-750	145	3	identity	identity	NOUN
ejpam-750	145	4	theorem	theorem	VERB
ejpam-750	145	5	first	first	ADJ
ejpam-750	145	6	factor	factor	NOUN
ejpam-750	145	7	vanishes	vanish	VERB
ejpam-750	145	8	identically	identically	ADV
ejpam-750	145	9	.	.	PUNCT
ejpam-750	146	1	hence	hence	ADV
ejpam-750	146	2	,	,	PUNCT
ejpam-750	146	3	by	by	ADP
ejpam-750	146	4	using	use	VERB
ejpam-750	146	5	the	the	DET
ejpam-750	146	6	fact	fact	NOUN
ejpam-750	146	7	that	that	SCONJ
ejpam-750	146	8	x	x	X
ejpam-750	146	9	=	=	PUNCT
ejpam-750	146	10	pq	pq	PROPN
ejpam-750	146	11	and	and	CCONJ
ejpam-750	146	12	y	y	PROPN
ejpam-750	147	1	=	=	PUNCT
ejpam-750	147	2	p	p	PROPN
ejpam-750	147	3	/	/	SYM
ejpam-750	147	4	q	q	NOUN
ejpam-750	147	5	,	,	PUNCT
ejpam-750	147	6	we	we	PRON
ejpam-750	147	7	obtain	obtain	VERB
ejpam-750	147	8	(	(	PUNCT
ejpam-750	147	9	30	30	NUM
ejpam-750	147	10	)	)	PUNCT
ejpam-750	147	11	.	.	PUNCT
ejpam-750	148	1	theorem	theorem	ADJ
ejpam-750	148	2	5	5	NUM
ejpam-750	148	3	.	.	PUNCT
ejpam-750	149	1	if	if	SCONJ
ejpam-750	149	2	x	x	PROPN
ejpam-750	149	3	=	=	SYM
ejpam-750	149	4	ϕ(q)ϕ(q7	ϕ(q)ϕ(q7	ADJ
ejpam-750	149	5	)	)	PUNCT
ejpam-750	149	6	ϕ(q4)ϕ(q28	ϕ(q4)ϕ(q28	PROPN
ejpam-750	149	7	)	)	PUNCT
ejpam-750	149	8	and	and	CCONJ
ejpam-750	149	9	y	y	PROPN
ejpam-750	149	10	=	=	NOUN
ejpam-750	149	11	ϕ(q)ϕ(q28	ϕ(q)ϕ(q28	ADJ
ejpam-750	149	12	)	)	PUNCT
ejpam-750	149	13	ϕ(q4)ϕ(q7	ϕ(q4)ϕ(q7	PROPN
ejpam-750	149	14	)	)	PUNCT
ejpam-750	149	15	,	,	PUNCT
ejpam-750	149	16	then	then	ADV
ejpam-750	149	17	y	y	PROPN
ejpam-750	149	18	4	4	NUM
ejpam-750	149	19	+	+	SYM
ejpam-750	149	20	1	1	NUM
ejpam-750	149	21	y	y	SYM
ejpam-750	149	22	4	4	NUM
ejpam-750	149	23	−	−	NOUN
ejpam-750	149	24	280	280	NUM
ejpam-750	149	25	�	�	NOUN
ejpam-750	149	26	y	y	PROPN
ejpam-750	149	27	3	3	NUM
ejpam-750	149	28	+	+	SYM
ejpam-750	149	29	1	1	NUM
ejpam-750	149	30	y	y	PROPN
ejpam-750	149	31	3	3	NUM
ejpam-750	149	32	�	�	PROPN
ejpam-750	149	33	−	−	PROPN
ejpam-750	149	34	28	28	NUM
ejpam-750	149	35	�	�	PROPN
ejpam-750	149	36	y	y	PROPN
ejpam-750	149	37	2	2	NUM
ejpam-750	149	38	+	+	NUM
ejpam-750	149	39	1	1	NUM
ejpam-750	149	40	y	y	PROPN
ejpam-750	149	41	2	2	NUM
ejpam-750	149	42	�	�	PROPN
ejpam-750	149	43	�	�	PROPN
ejpam-750	149	44	349	349	NUM
ejpam-750	149	45	+	+	SYM
ejpam-750	149	46	78	78	NUM
ejpam-750	149	47	�	�	NOUN
ejpam-750	149	48	x	x	PUNCT
ejpam-750	149	49	+	+	CCONJ
ejpam-750	149	50	4	4	NUM
ejpam-750	149	51	x	x	SYM
ejpam-750	149	52	�	�	PROPN
ejpam-750	149	53	�	�	PROPN
ejpam-750	149	54	−	−	PROPN
ejpam-750	149	55	56	56	NUM
ejpam-750	149	56	�	�	PROPN
ejpam-750	149	57	y	y	PROPN
ejpam-750	149	58	+	+	PROPN
ejpam-750	149	59	1	1	NUM
ejpam-750	149	60	y	y	PROPN
ejpam-750	149	61	�	�	PROPN
ejpam-750	149	62	�	�	PROPN
ejpam-750	149	63	1079	1079	NUM
ejpam-750	149	64	+	+	NUM
ejpam-750	149	65	310	310	NUM
ejpam-750	149	66	�	�	NOUN
ejpam-750	149	67	x	x	PUNCT
ejpam-750	149	68	+	+	CCONJ
ejpam-750	149	69	4	4	NUM
ejpam-750	149	70	x	x	PART
ejpam-750	149	71	�	�	PROPN
ejpam-750	149	72	+	+	CCONJ
ejpam-750	149	73	24	24	NUM
ejpam-750	149	74	�	�	PROPN
ejpam-750	149	75	x	x	SYM
ejpam-750	149	76	2	2	NUM
ejpam-750	149	77	+	+	CCONJ
ejpam-750	149	78	16	16	NUM
ejpam-750	149	79	x	x	SYM
ejpam-750	149	80	2	2	NUM
ejpam-750	149	81	�	�	PROPN
ejpam-750	149	82	�	�	PROPN
ejpam-750	149	83	+	+	CCONJ
ejpam-750	149	84	112	112	NUM
ejpam-750	149	85	�	�	PROPN
ejpam-750	149	86	p	p	PROPN
ejpam-750	149	87	y	y	PROPN
ejpam-750	149	88	+	+	CCONJ
ejpam-750	149	89	1p	1p	PROPN
ejpam-750	149	90	y	y	PROPN
ejpam-750	149	91	�	�	PROPN
ejpam-750	149	92			PROPN
ejpam-750	149	93	515	515	NOUN
ejpam-750	149	94	�	�	VERB
ejpam-750	149	95	p	p	NOUN
ejpam-750	149	96	x	x	NOUN
ejpam-750	150	1	+	+	NUM
ejpam-750	150	2	2p	2p	NUM
ejpam-750	150	3	x	x	SYM
ejpam-750	150	4	�	�	PROPN
ejpam-750	150	5	+	+	CCONJ
ejpam-750	150	6	90	90	NUM
ejpam-750	150	7			NOUN
ejpam-750	150	8			NOUN
ejpam-750	150	9	p	p	X
ejpam-750	150	10	x	x	X
ejpam-750	150	11	3	3	NUM
ejpam-750	150	12	+	+	NUM
ejpam-750	150	13	8	8	NUM
ejpam-750	150	14	p	p	NOUN
ejpam-750	150	15	x	x	SYM
ejpam-750	150	16	3	3	NUM
ejpam-750	150	17			NOUN
ejpam-750	150	18			PUNCT
ejpam-750	151	1	+4	+4	ADJ
ejpam-750	151	2			VERB
ejpam-750	151	3			NOUN
ejpam-750	151	4	p	p	NOUN
ejpam-750	151	5	x	x	X
ejpam-750	151	6	5	5	NUM
ejpam-750	151	7	+	+	SYM
ejpam-750	151	8	32	32	NUM
ejpam-750	151	9	p	p	NOUN
ejpam-750	151	10	x	x	SYM
ejpam-750	151	11	5	5	NUM
ejpam-750	151	12			NOUN
ejpam-750	151	13			PUNCT
ejpam-750	152	1			PROPN
ejpam-750	152	2	+	+	NUM
ejpam-750	152	3	56	56	NUM
ejpam-750	152	4			NOUN
ejpam-750	152	5			NOUN
ejpam-750	152	6	p	p	X
ejpam-750	152	7	y	y	PROPN
ejpam-750	152	8	3	3	NUM
ejpam-750	152	9	+	+	CCONJ
ejpam-750	152	10	1	1	NUM
ejpam-750	152	11	p	p	NOUN
ejpam-750	152	12	y	y	PROPN
ejpam-750	152	13	3	3	NUM
ejpam-750	152	14			PROPN
ejpam-750	152	15			PUNCT
ejpam-750	153	1			PROPN
ejpam-750	153	2	40	40	PROPN
ejpam-750	153	3			VERB
ejpam-750	153	4			NOUN
ejpam-750	153	5	p	p	NOUN
ejpam-750	153	6	x	x	SYM
ejpam-750	153	7	3	3	NUM
ejpam-750	153	8	+	+	NUM
ejpam-750	153	9	8	8	NUM
ejpam-750	153	10	p	p	NOUN
ejpam-750	153	11	x	x	SYM
ejpam-750	153	12	3	3	NUM
ejpam-750	153	13			NOUN
ejpam-750	153	14			PUNCT
ejpam-750	154	1	+313	+313	PUNCT
ejpam-750	154	2	�	�	PROPN
ejpam-750	154	3	p	p	NOUN
ejpam-750	154	4	x	x	X
ejpam-750	155	1	+	+	NUM
ejpam-750	155	2	2p	2p	NUM
ejpam-750	155	3	x	x	SYM
ejpam-750	155	4	�	�	PROPN
ejpam-750	155	5	�	�	PROPN
ejpam-750	155	6	+	+	CCONJ
ejpam-750	155	7	1176	1176	NUM
ejpam-750	155	8			NOUN
ejpam-750	155	9			NOUN
ejpam-750	155	10	p	p	X
ejpam-750	155	11	y	y	PROPN
ejpam-750	155	12	5	5	NUM
ejpam-750	155	13	+	+	CCONJ
ejpam-750	155	14	1	1	NUM
ejpam-750	155	15	p	p	NOUN
ejpam-750	155	16	y	y	PROPN
ejpam-750	155	17	5	5	NUM
ejpam-750	155	18			X
ejpam-750	155	19			PUNCT
ejpam-750	156	1	�	�	PROPN
ejpam-750	156	2	p	p	NOUN
ejpam-750	156	3	x	x	X
ejpam-750	157	1	+	+	NUM
ejpam-750	157	2	2p	2p	NUM
ejpam-750	157	3	x	x	SYM
ejpam-750	157	4	�	�	PROPN
ejpam-750	157	5	=	=	SYM
ejpam-750	157	6	16	16	NUM
ejpam-750	157	7	�	�	PROPN
ejpam-750	157	8	4	4	NUM
ejpam-750	157	9	�	�	PROPN
ejpam-750	157	10	x	x	PUNCT
ejpam-750	157	11	3	3	NUM
ejpam-750	157	12	+	+	NUM
ejpam-750	157	13	64	64	NUM
ejpam-750	157	14	x	x	SYM
ejpam-750	157	15	3	3	NUM
ejpam-750	157	16	�	�	PROPN
ejpam-750	157	17	+	+	CCONJ
ejpam-750	157	18	203	203	NUM
ejpam-750	157	19	�	�	PROPN
ejpam-750	157	20	x	x	SYM
ejpam-750	157	21	2	2	NUM
ejpam-750	157	22	+	+	CCONJ
ejpam-750	157	23	16	16	NUM
ejpam-750	157	24	x	x	SYM
ejpam-750	157	25	2	2	NUM
ejpam-750	157	26	�	�	PROPN
ejpam-750	157	27	+	+	CCONJ
ejpam-750	157	28	2023	2023	NUM
ejpam-750	157	29	�	�	NOUN
ejpam-750	157	30	x	x	PUNCT
ejpam-750	158	1	+	+	CCONJ
ejpam-750	158	2	4	4	NUM
ejpam-750	158	3	x	x	SYM
ejpam-750	158	4	�	�	PROPN
ejpam-750	158	5	�	�	PROPN
ejpam-750	158	6	+	+	CCONJ
ejpam-750	158	7	106330	106330	NUM
ejpam-750	158	8	.	.	PUNCT
ejpam-750	159	1	(	(	PUNCT
ejpam-750	159	2	33	33	NUM
ejpam-750	159	3	)	)	PUNCT
ejpam-750	159	4	proof	proof	NOUN
ejpam-750	159	5	.	.	PUNCT
ejpam-750	160	1	employing	employ	VERB
ejpam-750	160	2	(	(	PUNCT
ejpam-750	160	3	23	23	NUM
ejpam-750	160	4	)	)	PUNCT
ejpam-750	160	5	with	with	ADP
ejpam-750	160	6	n=	n=	ADJ
ejpam-750	160	7	7	7	NUM
ejpam-750	160	8	in	in	ADP
ejpam-750	160	9	(	(	PUNCT
ejpam-750	160	10	12	12	NUM
ejpam-750	160	11	)	)	PUNCT
ejpam-750	160	12	,	,	PUNCT
ejpam-750	160	13	we	we	PRON
ejpam-750	160	14	find	find	VERB
ejpam-750	160	15	that	that	SCONJ
ejpam-750	160	16	−4	−4	PROPN
ejpam-750	161	1	+	+	X
ejpam-750	161	2	2q+	2q+	NUM
ejpam-750	161	3	2p	2p	NUM
ejpam-750	161	4	−	−	NUM
ejpam-750	161	5	2pqb+	2pqb+	NUM
ejpam-750	161	6	pqc	pqc	NOUN
ejpam-750	161	7	=	=	NOUN
ejpam-750	161	8	0	0	NUM
ejpam-750	161	9	,	,	PUNCT
ejpam-750	161	10	(	(	PUNCT
ejpam-750	161	11	34	34	NUM
ejpam-750	161	12	)	)	PUNCT
ejpam-750	161	13	where	where	SCONJ
ejpam-750	161	14	b	b	X
ejpam-750	161	15	=	=	SYM
ejpam-750	161	16	�	�	PROPN
ejpam-750	161	17	αβ	αβ	PRON
ejpam-750	161	18	�	�	PROPN
ejpam-750	161	19	1/8	1/8	NUM
ejpam-750	161	20	and	and	CCONJ
ejpam-750	161	21	c	c	NOUN
ejpam-750	161	22	=	=	SYM
ejpam-750	161	23	�	�	PROPN
ejpam-750	161	24	αβ	αβ	NUM
ejpam-750	161	25	�	�	PROPN
ejpam-750	161	26	1/4	1/4	NUM
ejpam-750	161	27	.	.	PUNCT
ejpam-750	162	1	isolating	isolate	VERB
ejpam-750	162	2	the	the	DET
ejpam-750	162	3	terms	term	NOUN
ejpam-750	162	4	having	have	VERB
ejpam-750	162	5	b	b	X
ejpam-750	162	6	on	on	ADP
ejpam-750	162	7	one	one	NUM
ejpam-750	162	8	side	side	NOUN
ejpam-750	162	9	of	of	ADP
ejpam-750	162	10	the	the	DET
ejpam-750	162	11	equation	equation	NOUN
ejpam-750	162	12	and	and	CCONJ
ejpam-750	162	13	squaring	square	VERB
ejpam-750	162	14	both	both	DET
ejpam-750	162	15	sides	side	NOUN
ejpam-750	162	16	,	,	PUNCT
ejpam-750	162	17	we	we	PRON
ejpam-750	162	18	deduce	deduce	VERB
ejpam-750	162	19	that	that	SCONJ
ejpam-750	162	20	4p2q2c	4p2q2c	NUM
ejpam-750	163	1	−	−	NUM
ejpam-750	163	2	16	16	NUM
ejpam-750	164	1	+	+	NUM
ejpam-750	164	2	16q+	16q+	NUM
ejpam-750	164	3	16p	16p	NOUN
ejpam-750	164	4	+	+	NUM
ejpam-750	164	5	8pqc−	8pqc−	NOUN
ejpam-750	164	6	4q2−	4q2−	NUM
ejpam-750	164	7	8pq−	8pq−	NUM
ejpam-750	164	8	4pq2c−	4pq2c−	NUM
ejpam-750	164	9	4p2−	4p2−	NUM
ejpam-750	164	10	4p2qc−	4p2qc−	NUM
ejpam-750	164	11	p2q2a	p2q2a	NUM
ejpam-750	165	1	=	=	SYM
ejpam-750	165	2	0	0	X
ejpam-750	165	3	.	.	PUNCT
ejpam-750	166	1	(	(	PUNCT
ejpam-750	166	2	35	35	NUM
ejpam-750	166	3	)	)	PUNCT
ejpam-750	166	4	isolating	isolate	VERB
ejpam-750	166	5	the	the	DET
ejpam-750	166	6	terms	term	NOUN
ejpam-750	166	7	having	have	VERB
ejpam-750	166	8	c	c	NOUN
ejpam-750	166	9	on	on	ADP
ejpam-750	166	10	one	one	NUM
ejpam-750	166	11	side	side	NOUN
ejpam-750	166	12	of	of	ADP
ejpam-750	166	13	the	the	DET
ejpam-750	166	14	equation	equation	NOUN
ejpam-750	166	15	and	and	CCONJ
ejpam-750	166	16	squaring	square	VERB
ejpam-750	166	17	both	both	DET
ejpam-750	166	18	sides	side	NOUN
ejpam-750	166	19	,	,	PUNCT
ejpam-750	166	20	we	we	PRON
ejpam-750	166	21	deduce	deduce	VERB
ejpam-750	166	22	that	that	SCONJ
ejpam-750	166	23	8ap2q4−	8ap2q4−	NOUN
ejpam-750	166	24	32ap2q3	32ap2q3	NUM
ejpam-750	166	25	+	+	CCONJ
ejpam-750	167	1	32p2q2a+	32p2q2a+	NUM
ejpam-750	167	2	16ap4q4	16ap4q4	NUM
ejpam-750	167	3	+	+	NUM
ejpam-750	167	4	80ap3q3	80ap3q3	NUM
ejpam-750	167	5	−	−	PROPN
ejpam-750	167	6	32ap3q2	32ap3q2	NUM
ejpam-750	167	7	−	−	PROPN
ejpam-750	167	8	256	256	NUM
ejpam-750	167	9	+	+	NUM
ejpam-750	167	10	8ap4q2−	8ap4q2−	NOUN
ejpam-750	167	11	32ap4q3	32ap4q3	NUM
ejpam-750	167	12	−	−	PROPN
ejpam-750	167	13	32ap3q4	32ap3q4	NUM
ejpam-750	168	1	+	+	CCONJ
ejpam-750	168	2	512p	512p	PROPN
ejpam-750	169	1	+	+	CCONJ
ejpam-750	169	2	512q−	512q−	NUM
ejpam-750	169	3	768pq	768pq	NOUN
ejpam-750	169	4	−	−	PROPN
ejpam-750	169	5	96p2q2	96p2q2	NOUN
ejpam-750	169	6	+	+	CCONJ
ejpam-750	169	7	384p2q+	384p2q+	NUM
ejpam-750	169	8	384pq2−	384pq2−	NUM
ejpam-750	169	9	64p3q−	64p3q−	NUM
ejpam-750	169	10	16p4	16p4	NUM
ejpam-750	170	1	−	−	NUM
ejpam-750	170	2	384p2−	384p2−	NUM
ejpam-750	170	3	384q2	384q2	NUM
ejpam-750	170	4	−	−	NOUN
ejpam-750	170	5	64q3p	64q3p	NUM
ejpam-750	170	6	+	+	CCONJ
ejpam-750	170	7	128p3	128p3	NUM
ejpam-750	170	8	+	+	SYM
ejpam-750	170	9	128q3−	128q3−	NUM
ejpam-750	170	10	16q4−	16q4−	NUM
ejpam-750	170	11	p4q4a2	p4q4a2	NOUN
ejpam-750	170	12	=	=	SYM
ejpam-750	170	13	0	0	X
ejpam-750	170	14	.	.	PUNCT
ejpam-750	171	1	(	(	PUNCT
ejpam-750	171	2	36	36	NUM
ejpam-750	171	3	)	)	PUNCT
ejpam-750	171	4	isolating	isolate	VERB
ejpam-750	171	5	the	the	DET
ejpam-750	171	6	terms	term	NOUN
ejpam-750	171	7	having	have	VERB
ejpam-750	171	8	a	a	DET
ejpam-750	171	9	on	on	ADP
ejpam-750	171	10	one	one	NUM
ejpam-750	171	11	side	side	NOUN
ejpam-750	171	12	of	of	ADP
ejpam-750	171	13	the	the	DET
ejpam-750	171	14	equation	equation	NOUN
ejpam-750	171	15	and	and	CCONJ
ejpam-750	171	16	squaring	square	VERB
ejpam-750	171	17	both	both	DET
ejpam-750	171	18	sides	side	NOUN
ejpam-750	171	19	and	and	CCONJ
ejpam-750	171	20	then	then	ADV
ejpam-750	171	21	using	use	VERB
ejpam-750	171	22	the	the	DET
ejpam-750	171	23	fact	fact	NOUN
ejpam-750	171	24	that	that	SCONJ
ejpam-750	171	25	x	x	X
ejpam-750	171	26	=	=	PUNCT
ejpam-750	171	27	pq	pq	PROPN
ejpam-750	171	28	and	and	CCONJ
ejpam-750	171	29	y	y	PROPN
ejpam-750	172	1	=	=	PUNCT
ejpam-750	172	2	p	p	PROPN
ejpam-750	172	3	/	/	SYM
ejpam-750	172	4	q	q	NOUN
ejpam-750	172	5	,	,	PUNCT
ejpam-750	172	6	we	we	PRON
ejpam-750	172	7	obtain	obtain	VERB
ejpam-750	172	8	(	(	PUNCT
ejpam-750	172	9	33	33	NUM
ejpam-750	172	10	)	)	PUNCT
ejpam-750	172	11	.	.	PUNCT
ejpam-750	173	1	m.	m.	NOUN
ejpam-750	173	2	naika	naika	PROPN
ejpam-750	173	3	,	,	PUNCT
ejpam-750	173	4	k.	k.	PROPN
ejpam-750	173	5	bairy	bairy	PROPN
ejpam-750	173	6	,	,	PUNCT
ejpam-750	173	7	m.	m.	NOUN
ejpam-750	173	8	manjunatha	manjunatha	PROPN
ejpam-750	173	9	/	/	SYM
ejpam-750	173	10	eur	eur	PROPN
ejpam-750	173	11	.	.	PUNCT
ejpam-750	174	1	j.	j.	PROPN
ejpam-750	174	2	pure	pure	PROPN
ejpam-750	174	3	appl	appl	PROPN
ejpam-750	174	4	.	.	PROPN
ejpam-750	174	5	math	math	PROPN
ejpam-750	174	6	,	,	PUNCT
ejpam-750	174	7	3	3	NUM
ejpam-750	174	8	(	(	PUNCT
ejpam-750	174	9	2010	2010	NUM
ejpam-750	174	10	)	)	PUNCT
ejpam-750	174	11	,	,	PUNCT
ejpam-750	174	12	924	924	NUM
ejpam-750	174	13	-	-	SYM
ejpam-750	174	14	947	947	NUM
ejpam-750	174	15	931	931	NUM
ejpam-750	174	16	theorem	theorem	NOUN
ejpam-750	174	17	6	6	NUM
ejpam-750	174	18	.	.	PUNCT
ejpam-750	175	1	if	if	SCONJ
ejpam-750	175	2	p	p	NOUN
ejpam-750	175	3	=	=	SYM
ejpam-750	175	4	ϕ(q	ϕ(q	PROPN
ejpam-750	175	5	)	)	PUNCT
ejpam-750	175	6	ϕ(q4	ϕ(q4	NUM
ejpam-750	175	7	)	)	PUNCT
ejpam-750	176	1	and	and	CCONJ
ejpam-750	176	2	q	q	NOUN
ejpam-750	176	3	=	=	NOUN
ejpam-750	176	4	ϕ(q8	ϕ(q8	NOUN
ejpam-750	176	5	)	)	PUNCT
ejpam-750	176	6	ϕ(q32	ϕ(q32	NOUN
ejpam-750	176	7	)	)	PUNCT
ejpam-750	176	8	,	,	PUNCT
ejpam-750	176	9	then	then	ADV
ejpam-750	176	10	�	�	PROPN
ejpam-750	176	11	p4	p4	ADJ
ejpam-750	176	12	+	+	CCONJ
ejpam-750	176	13	1	1	NUM
ejpam-750	176	14	p4	p4	PROPN
ejpam-750	176	15	�	�	PROPN
ejpam-750	176	16	�	�	PROPN
ejpam-750	176	17	−q4	−q4	PROPN
ejpam-750	176	18	+	+	PROPN
ejpam-750	176	19	16q3−	16q3−	NUM
ejpam-750	176	20	112q2	112q2	NUM
ejpam-750	176	21	+	+	SYM
ejpam-750	176	22	448q−	448q−	NUM
ejpam-750	176	23	1120	1120	NUM
ejpam-750	176	24	+	+	SYM
ejpam-750	176	25	1792	1792	NUM
ejpam-750	176	26	q	q	NOUN
ejpam-750	176	27	−	−	PROPN
ejpam-750	176	28	1792	1792	NUM
ejpam-750	176	29	q2	q2	NOUN
ejpam-750	176	30	+	+	CCONJ
ejpam-750	176	31	1024	1024	NUM
ejpam-750	176	32	q3	q3	NOUN
ejpam-750	176	33	−	−	PROPN
ejpam-750	176	34	256	256	NUM
ejpam-750	176	35	q4	q4	PROPN
ejpam-750	176	36	�	�	PROPN
ejpam-750	176	37	+	+	CCONJ
ejpam-750	176	38	�	�	PROPN
ejpam-750	176	39	p3	p3	PROPN
ejpam-750	176	40	+	+	CCONJ
ejpam-750	176	41	1	1	NUM
ejpam-750	176	42	p3	p3	PROPN
ejpam-750	176	43	�	�	PROPN
ejpam-750	176	44	�	�	PROPN
ejpam-750	176	45	8q4	8q4	NUM
ejpam-750	176	46	+	+	PROPN
ejpam-750	176	47	2048	2048	NUM
ejpam-750	176	48	q4	q4	PROPN
ejpam-750	176	49	−	−	PROPN
ejpam-750	176	50	8192	8192	NUM
ejpam-750	176	51	q3	q3	NOUN
ejpam-750	176	52	+	+	CCONJ
ejpam-750	176	53	14336	14336	NUM
ejpam-750	176	54	q2	q2	NOUN
ejpam-750	176	55	−	−	PROPN
ejpam-750	176	56	14336	14336	NUM
ejpam-750	176	57	q	q	PROPN
ejpam-750	176	58	�	�	PROPN
ejpam-750	176	59	+	+	CCONJ
ejpam-750	176	60	�	�	PROPN
ejpam-750	176	61	p2	p2	PROPN
ejpam-750	176	62	+	+	CCONJ
ejpam-750	176	63	1	1	NUM
ejpam-750	176	64	p2	p2	PROPN
ejpam-750	176	65	�	�	PROPN
ejpam-750	176	66	�	�	PROPN
ejpam-750	176	67	−28q4	−28q4	PROPN
ejpam-750	176	68	−7168	−7168	PROPN
ejpam-750	176	69	q4	q4	PROPN
ejpam-750	176	70	+	+	CCONJ
ejpam-750	176	71	28672	28672	NUM
ejpam-750	176	72	q3	q3	NOUN
ejpam-750	176	73	−	−	PROPN
ejpam-750	176	74	50176	50176	NUM
ejpam-750	176	75	q2	q2	NOUN
ejpam-750	176	76	+	+	CCONJ
ejpam-750	176	77	50176	50176	NUM
ejpam-750	176	78	q	q	PROPN
ejpam-750	176	79	�	�	PROPN
ejpam-750	176	80	+	+	CCONJ
ejpam-750	176	81	�	�	PROPN
ejpam-750	177	1	p	p	NOUN
ejpam-750	177	2	+	+	NOUN
ejpam-750	177	3	1	1	NUM
ejpam-750	177	4	p	p	NOUN
ejpam-750	177	5	�	�	PROPN
ejpam-750	177	6	�	�	PROPN
ejpam-750	177	7	56q4	56q4	NUM
ejpam-750	177	8	+	+	NUM
ejpam-750	177	9	14336	14336	NUM
ejpam-750	177	10	q4	q4	PROPN
ejpam-750	177	11	−	−	PROPN
ejpam-750	177	12	57344	57344	NUM
ejpam-750	177	13	q3	q3	NOUN
ejpam-750	177	14	+	+	CCONJ
ejpam-750	177	15	100352	100352	NUM
ejpam-750	177	16	q2	q2	NOUN
ejpam-750	177	17	−100352	−100352	PROPN
ejpam-750	177	18	q	q	PROPN
ejpam-750	177	19	�	�	PROPN
ejpam-750	177	20	+	+	CCONJ
ejpam-750	177	21	p3	p3	PROPN
ejpam-750	177	22	�	�	PROPN
ejpam-750	177	23	8960	8960	NUM
ejpam-750	177	24	+	+	CCONJ
ejpam-750	177	25	896q2−	896q2−	NUM
ejpam-750	177	26	3584q−	3584q−	NUM
ejpam-750	177	27	128q3	128q3	NUM
ejpam-750	177	28	�	�	PROPN
ejpam-750	177	29	+	+	CCONJ
ejpam-750	177	30	30848q+	30848q+	NUM
ejpam-750	177	31	125400	125400	NUM
ejpam-750	177	32	q	q	NOUN
ejpam-750	178	1	−	−	NOUN
ejpam-750	178	2	78144	78144	NUM
ejpam-750	178	3	+	+	SYM
ejpam-750	178	4	1	1	NUM
ejpam-750	178	5	p3	p3	PROPN
ejpam-750	178	6	�	�	PROPN
ejpam-750	179	1	7936−	7936−	NUM
ejpam-750	179	2	1536q−	1536q−	NUM
ejpam-750	179	3	640q2	640q2	NUM
ejpam-750	179	4	+	+	SYM
ejpam-750	179	5	384q3	384q3	NUM
ejpam-750	179	6	�	�	NOUN
ejpam-750	179	7	+	+	CCONJ
ejpam-750	179	8	1	1	NUM
ejpam-750	179	9	p2	p2	PROPN
ejpam-750	179	10	�	�	PROPN
ejpam-750	179	11	−320q3−	−320q3−	PROPN
ejpam-750	179	12	832q2	832q2	NUM
ejpam-750	179	13	+	+	CCONJ
ejpam-750	179	14	9472q−	9472q−	NUM
ejpam-750	179	15	29824	29824	NUM
ejpam-750	179	16	�	�	NOUN
ejpam-750	179	17	+	+	CCONJ
ejpam-750	179	18	p2	p2	PROPN
ejpam-750	179	19	�	�	PROPN
ejpam-750	179	20	448q3−	448q3−	NUM
ejpam-750	179	21	3136q2	3136q2	NUM
ejpam-750	179	22	+	+	SYM
ejpam-750	179	23	12544q−	12544q−	NUM
ejpam-750	179	24	31360	31360	NUM
ejpam-750	179	25	�	�	PROPN
ejpam-750	179	26	+	+	CCONJ
ejpam-750	179	27	p	p	PROPN
ejpam-750	179	28	�	�	PROPN
ejpam-750	179	29	62720	62720	NUM
ejpam-750	179	30	+	+	NUM
ejpam-750	179	31	6272q2−	6272q2−	NUM
ejpam-750	179	32	896q3−	896q3−	NUM
ejpam-750	179	33	25088q	25088q	NUM
ejpam-750	179	34	�	�	X
ejpam-750	179	35	+	+	CCONJ
ejpam-750	179	36	1	1	NUM
ejpam-750	179	37	p	p	PRON
ejpam-750	179	38	�	�	PROPN
ejpam-750	179	39	61696−	61696−	NUM
ejpam-750	179	40	23040q+4736q2−	23040q+4736q2−	NUM
ejpam-750	179	41	384q3	384q3	NUM
ejpam-750	179	42	�	�	NOUN
ejpam-750	179	43	−	−	PROPN
ejpam-750	179	44	70q4−	70q4−	NOUN
ejpam-750	179	45	17920	17920	NUM
ejpam-750	179	46	q4	q4	PROPN
ejpam-750	179	47	+	+	CCONJ
ejpam-750	179	48	992q3	992q3	NUM
ejpam-750	179	49	+	+	SYM
ejpam-750	179	50	71680	71680	NUM
ejpam-750	179	51	q3	q3	NOUN
ejpam-750	179	52	−	−	PROPN
ejpam-750	179	53	7456q2−	7456q2−	NUM
ejpam-750	179	54	125400	125400	NUM
ejpam-750	179	55	q2	q2	NOUN
ejpam-750	179	56	=	=	SYM
ejpam-750	179	57	0	0	PROPN
ejpam-750	179	58	.	.	PUNCT
ejpam-750	180	1	(	(	PUNCT
ejpam-750	180	2	37	37	NUM
ejpam-750	180	3	)	)	PUNCT
ejpam-750	180	4	proof	proof	NOUN
ejpam-750	180	5	.	.	PUNCT
ejpam-750	181	1	proof	proof	NOUN
ejpam-750	181	2	of	of	ADP
ejpam-750	181	3	the	the	DET
ejpam-750	181	4	identity	identity	NOUN
ejpam-750	181	5	(	(	PUNCT
ejpam-750	181	6	37	37	NUM
ejpam-750	181	7	)	)	PUNCT
ejpam-750	181	8	is	be	AUX
ejpam-750	181	9	similar	similar	ADJ
ejpam-750	181	10	to	to	ADP
ejpam-750	181	11	the	the	DET
ejpam-750	181	12	proof	proof	NOUN
ejpam-750	181	13	of	of	ADP
ejpam-750	181	14	the	the	DET
ejpam-750	181	15	identity	identity	NOUN
ejpam-750	181	16	(	(	PUNCT
ejpam-750	181	17	28	28	NUM
ejpam-750	181	18	)	)	PUNCT
ejpam-750	181	19	given	give	VERB
ejpam-750	181	20	above	above	ADV
ejpam-750	181	21	except	except	SCONJ
ejpam-750	181	22	that	that	SCONJ
ejpam-750	181	23	in	in	ADP
ejpam-750	181	24	place	place	NOUN
ejpam-750	181	25	of	of	ADP
ejpam-750	181	26	result	result	NOUN
ejpam-750	181	27	(	(	PUNCT
ejpam-750	181	28	10	10	NUM
ejpam-750	181	29	)	)	PUNCT
ejpam-750	181	30	,	,	PUNCT
ejpam-750	181	31	result	result	NOUN
ejpam-750	181	32	(	(	PUNCT
ejpam-750	181	33	13	13	NUM
ejpam-750	181	34	)	)	PUNCT
ejpam-750	181	35	is	be	AUX
ejpam-750	181	36	used	use	VERB
ejpam-750	181	37	.	.	PUNCT
ejpam-750	182	1	theorem	theorem	VERB
ejpam-750	182	2	7	7	NUM
ejpam-750	182	3	.	.	PUNCT
ejpam-750	183	1	if	if	SCONJ
ejpam-750	183	2	x	x	PROPN
ejpam-750	183	3	=	=	SYM
ejpam-750	183	4	ϕ(q)ϕ(q9	ϕ(q)ϕ(q9	PROPN
ejpam-750	183	5	)	)	PUNCT
ejpam-750	183	6	ϕ(q4)ϕ(q36	ϕ(q4)ϕ(q36	NOUN
ejpam-750	183	7	)	)	PUNCT
ejpam-750	184	1	and	and	CCONJ
ejpam-750	184	2	y	y	PROPN
ejpam-750	184	3	=	=	PUNCT
ejpam-750	184	4	ϕ(q)ϕ(q36	ϕ(q)ϕ(q36	NOUN
ejpam-750	184	5	)	)	PUNCT
ejpam-750	184	6	ϕ(q4)ϕ(q9	ϕ(q4)ϕ(q9	PROPN
ejpam-750	184	7	)	)	PUNCT
ejpam-750	184	8	,	,	PUNCT
ejpam-750	184	9	then	then	ADV
ejpam-750	184	10	y	y	PROPN
ejpam-750	184	11	6	6	NUM
ejpam-750	185	1	+	+	SYM
ejpam-750	185	2	1	1	NUM
ejpam-750	185	3	y	y	PROPN
ejpam-750	185	4	6	6	NUM
ejpam-750	185	5	−	−	NOUN
ejpam-750	185	6	908	908	NUM
ejpam-750	185	7	�	�	NOUN
ejpam-750	185	8	y	y	PROPN
ejpam-750	185	9	5	5	NUM
ejpam-750	185	10	+	+	CCONJ
ejpam-750	185	11	1	1	NUM
ejpam-750	185	12	y	y	SYM
ejpam-750	185	13	5	5	NUM
ejpam-750	185	14	�	�	PROPN
ejpam-750	185	15	−	−	PROPN
ejpam-750	185	16	83582	83582	NUM
ejpam-750	185	17	�	�	PROPN
ejpam-750	185	18	y	y	PROPN
ejpam-750	185	19	4	4	NUM
ejpam-750	185	20	+	+	SYM
ejpam-750	185	21	1	1	NUM
ejpam-750	185	22	y	y	SYM
ejpam-750	185	23	4	4	NUM
ejpam-750	185	24	�	�	PROPN
ejpam-750	185	25	−	−	PROPN
ejpam-750	185	26	1369692	1369692	NUM
ejpam-750	185	27	�	�	PROPN
ejpam-750	185	28	y	y	PROPN
ejpam-750	185	29	3	3	NUM
ejpam-750	185	30	+	+	SYM
ejpam-750	185	31	1	1	NUM
ejpam-750	185	32	y	y	PROPN
ejpam-750	185	33	3	3	NUM
ejpam-750	185	34	�	�	PROPN
ejpam-750	185	35	−	−	PROPN
ejpam-750	185	36	3	3	NUM
ejpam-750	185	37	�	�	PROPN
ejpam-750	185	38	y	y	PROPN
ejpam-750	185	39	2	2	NUM
ejpam-750	185	40	+	+	CCONJ
ejpam-750	185	41	1	1	NUM
ejpam-750	185	42	y	y	PROPN
ejpam-750	185	43	2	2	NUM
ejpam-750	185	44	�	�	PROPN
ejpam-750	185	45	�	�	PROPN
ejpam-750	185	46	2657883	2657883	NUM
ejpam-750	185	47	+	+	SYM
ejpam-750	185	48	96832	96832	NUM
ejpam-750	185	49	�	�	NOUN
ejpam-750	185	50	x	x	SYM
ejpam-750	185	51	2	2	NUM
ejpam-750	185	52	+	+	NUM
ejpam-750	185	53	16	16	NUM
ejpam-750	185	54	x	x	SYM
ejpam-750	185	55	2	2	NUM
ejpam-750	185	56	�	�	PROPN
ejpam-750	185	57	�	�	PROPN
ejpam-750	185	58	−	−	PROPN
ejpam-750	185	59	24	24	NUM
ejpam-750	185	60	�	�	PROPN
ejpam-750	185	61	y	y	PROPN
ejpam-750	185	62	+	+	NOUN
ejpam-750	185	63	1	1	NUM
ejpam-750	185	64	y	y	PROPN
ejpam-750	185	65	�	�	PROPN
ejpam-750	185	66	×	×	PROPN
ejpam-750	185	67	�	�	PROPN
ejpam-750	185	68	892353	892353	NUM
ejpam-750	185	69	+	+	SYM
ejpam-750	185	70	289628	289628	NUM
ejpam-750	185	71	�	�	NOUN
ejpam-750	185	72	x	x	PUNCT
ejpam-750	186	1	+	+	CCONJ
ejpam-750	186	2	4	4	NUM
ejpam-750	186	3	x	x	SYM
ejpam-750	186	4	�	�	PROPN
ejpam-750	186	5	�	�	PROPN
ejpam-750	186	6	+	+	CCONJ
ejpam-750	186	7	17323008	17323008	NUM
ejpam-750	186	8	�	�	PROPN
ejpam-750	186	9	p	p	PROPN
ejpam-750	186	10	y	y	PROPN
ejpam-750	186	11	+	+	CCONJ
ejpam-750	186	12	1p	1p	PROPN
ejpam-750	186	13	y	y	PROPN
ejpam-750	186	14	�	�	PROPN
ejpam-750	186	15	�	�	PROPN
ejpam-750	186	16	p	p	NOUN
ejpam-750	186	17	x	x	NOUN
ejpam-750	186	18	+	+	NUM
ejpam-750	186	19	2p	2p	NUM
ejpam-750	186	20	x	x	SYM
ejpam-750	186	21	�	�	PROPN
ejpam-750	186	22	+	+	NUM
ejpam-750	186	23	1831776	1831776	NUM
ejpam-750	186	24			NOUN
ejpam-750	186	25			NOUN
ejpam-750	187	1	p	p	X
ejpam-750	187	2	y	y	PROPN
ejpam-750	187	3	3	3	NUM
ejpam-750	187	4	+	+	CCONJ
ejpam-750	187	5	1	1	NUM
ejpam-750	187	6	p	p	NOUN
ejpam-750	187	7	y	y	PROPN
ejpam-750	187	8	3	3	NUM
ejpam-750	187	9			PROPN
ejpam-750	187	10			PROPN
ejpam-750	187	11			NOUN
ejpam-750	187	12			NOUN
ejpam-750	187	13	p	p	X
ejpam-750	187	14	x	x	SYM
ejpam-750	187	15	3	3	NUM
ejpam-750	187	16	+	+	NUM
ejpam-750	187	17	8	8	NUM
ejpam-750	187	18	p	p	NOUN
ejpam-750	187	19	x	x	SYM
ejpam-750	187	20	3	3	NUM
ejpam-750	187	21			PROPN
ejpam-750	187	22	+	+	NUM
ejpam-750	187	23	21504	21504	NUM
ejpam-750	187	24			NOUN
ejpam-750	187	25			NOUN
ejpam-750	187	26	p	p	X
ejpam-750	187	27	y	y	PROPN
ejpam-750	187	28	5	5	NUM
ejpam-750	187	29	+	+	SYM
ejpam-750	187	30	1	1	NUM
ejpam-750	187	31	p	p	NOUN
ejpam-750	187	32	y	y	PROPN
ejpam-750	187	33	5	5	NUM
ejpam-750	187	34			PROPN
ejpam-750	187	35			PROPN
ejpam-750	187	36	×	×	NOUN
ejpam-750	187	37			NOUN
ejpam-750	187	38			NOUN
ejpam-750	187	39	p	p	X
ejpam-750	187	40	x	x	SYM
ejpam-750	187	41	5	5	NUM
ejpam-750	187	42	+	+	SYM
ejpam-750	187	43	32	32	NUM
ejpam-750	187	44	p	p	NOUN
ejpam-750	187	45	x	x	SYM
ejpam-750	187	46	5	5	NUM
ejpam-750	187	47			PROPN
ejpam-750	187	48	−	−	PROPN
ejpam-750	187	49	29469924=	29469924=	NUM
ejpam-750	187	50	128	128	NUM
ejpam-750	187	51	�	�	PROPN
ejpam-750	187	52	2	2	NUM
ejpam-750	187	53	�	�	PROPN
ejpam-750	187	54	x	x	PUNCT
ejpam-750	187	55	4	4	NUM
ejpam-750	187	56	+	+	SYM
ejpam-750	187	57	256	256	NUM
ejpam-750	187	58	x	x	SYM
ejpam-750	187	59	4	4	NUM
ejpam-750	187	60	�	�	PROPN
ejpam-750	187	61	+420	+420	NUM
ejpam-750	187	62	�	�	PROPN
ejpam-750	187	63	x	x	PUNCT
ejpam-750	187	64	3	3	NUM
ejpam-750	187	65	+	+	NUM
ejpam-750	187	66	64	64	NUM
ejpam-750	187	67	x	x	SYM
ejpam-750	187	68	3	3	NUM
ejpam-750	187	69	�	�	PROPN
ejpam-750	187	70	+	+	CCONJ
ejpam-750	187	71	9987	9987	NUM
ejpam-750	187	72	�	�	NOUN
ejpam-750	187	73	x	x	SYM
ejpam-750	187	74	2	2	NUM
ejpam-750	187	75	+	+	CCONJ
ejpam-750	187	76	16	16	NUM
ejpam-750	187	77	x	x	SYM
ejpam-750	187	78	2	2	NUM
ejpam-750	187	79	�	�	PROPN
ejpam-750	187	80	+	+	CCONJ
ejpam-750	187	81	75426	75426	NUM
ejpam-750	187	82	�	�	NOUN
ejpam-750	187	83	x	x	PUNCT
ejpam-750	188	1	+	+	CCONJ
ejpam-750	188	2	4	4	NUM
ejpam-750	188	3	x	x	SYM
ejpam-750	188	4	�	�	PROPN
ejpam-750	188	5	�	�	PROPN
ejpam-750	188	6	.	.	PUNCT
ejpam-750	189	1	(	(	PUNCT
ejpam-750	189	2	38	38	NUM
ejpam-750	189	3	)	)	PUNCT
ejpam-750	189	4	proof	proof	NOUN
ejpam-750	189	5	.	.	PUNCT
ejpam-750	190	1	employing	employ	VERB
ejpam-750	190	2	(	(	PUNCT
ejpam-750	190	3	23	23	NUM
ejpam-750	190	4	)	)	PUNCT
ejpam-750	190	5	with	with	ADP
ejpam-750	190	6	n=	n=	ADJ
ejpam-750	190	7	9	9	NUM
ejpam-750	190	8	in	in	ADP
ejpam-750	190	9	(	(	PUNCT
ejpam-750	190	10	14	14	NUM
ejpam-750	190	11	)	)	PUNCT
ejpam-750	190	12	and	and	CCONJ
ejpam-750	190	13	(	(	PUNCT
ejpam-750	190	14	15	15	NUM
ejpam-750	190	15	)	)	PUNCT
ejpam-750	190	16	,	,	PUNCT
ejpam-750	190	17	we	we	PRON
ejpam-750	190	18	find	find	VERB
ejpam-750	190	19	that	that	PRON
ejpam-750	190	20	2q2p	2q2p	NOUN
ejpam-750	190	21	−	−	NOUN
ejpam-750	191	1	4q2p2c	4q2p2c	NUM
ejpam-750	192	1	−	−	PROPN
ejpam-750	192	2	2aq2p	2aq2p	NUM
ejpam-750	193	1	+	+	CCONJ
ejpam-750	193	2	4cp2q2	4cp2q2	NOUN
ejpam-750	193	3	b+	b+	ADP
ejpam-750	193	4	8cq2p	8cq2p	NUM
ejpam-750	193	5	−	−	NUM
ejpam-750	193	6	4cpq2	4cpq2	NUM
ejpam-750	193	7	b+	b+	ADV
ejpam-750	193	8	4bp2q2−	4bp2q2−	NOUN
ejpam-750	193	9	4q2	4q2	NUM
ejpam-750	193	10	m.	m.	NOUN
ejpam-750	193	11	naika	naika	PROPN
ejpam-750	193	12	,	,	PUNCT
ejpam-750	193	13	k.	k.	PROPN
ejpam-750	193	14	bairy	bairy	PROPN
ejpam-750	193	15	,	,	PUNCT
ejpam-750	193	16	m.	m.	NOUN
ejpam-750	193	17	manjunatha	manjunatha	PROPN
ejpam-750	193	18	/	/	SYM
ejpam-750	193	19	eur	eur	PROPN
ejpam-750	193	20	.	.	PUNCT
ejpam-750	194	1	j.	j.	PROPN
ejpam-750	194	2	pure	pure	PROPN
ejpam-750	194	3	appl	appl	PROPN
ejpam-750	194	4	.	.	PROPN
ejpam-750	194	5	math	math	PROPN
ejpam-750	194	6	,	,	PUNCT
ejpam-750	194	7	3	3	NUM
ejpam-750	194	8	(	(	PUNCT
ejpam-750	194	9	2010	2010	NUM
ejpam-750	194	10	)	)	PUNCT
ejpam-750	194	11	,	,	PUNCT
ejpam-750	194	12	924	924	NUM
ejpam-750	194	13	-	-	SYM
ejpam-750	194	14	947	947	NUM
ejpam-750	194	15	932	932	NUM
ejpam-750	194	16	4qp	4qp	NOUN
ejpam-750	194	17	+	+	CCONJ
ejpam-750	194	18	8bq2−	8bq2−	NUM
ejpam-750	194	19	4cq2	4cq2	NUM
ejpam-750	194	20	−	−	NOUN
ejpam-750	194	21	12bpq2	12bpq2	NUM
ejpam-750	194	22	+	+	SYM
ejpam-750	194	23	8cp	8cp	ADJ
ejpam-750	194	24	bq+	bq+	NOUN
ejpam-750	194	25	2qp2a+	2qp2a+	NUM
ejpam-750	194	26	4aqp	4aqp	NUM
ejpam-750	194	27	−	−	NUM
ejpam-750	194	28	4bp2q	4bp2q	NUM
ejpam-750	194	29	−2qp2−	−2qp2−	NUM
ejpam-750	194	30	8cpq−	8cpq−	NOUN
ejpam-750	194	31	12cp2	12cp2	NOUN
ejpam-750	194	32	bq+	bq+	NOUN
ejpam-750	194	33	8bpq+	8bpq+	NUM
ejpam-750	195	1	8qp2c	8qp2c	NUM
ejpam-750	195	2	−	−	PROPN
ejpam-750	195	3	4ap2	4ap2	NUM
ejpam-750	195	4	−	−	NOUN
ejpam-750	195	5	4cp2	4cp2	NUM
ejpam-750	196	1	+	+	NUM
ejpam-750	196	2	8cp2	8cp2	NUM
ejpam-750	196	3	b	b	X
ejpam-750	196	4	=	=	SYM
ejpam-750	196	5	0	0	PROPN
ejpam-750	196	6	.	.	PUNCT
ejpam-750	196	7	(	(	PUNCT
ejpam-750	196	8	39	39	NUM
ejpam-750	196	9	)	)	PUNCT
ejpam-750	196	10	isolating	isolate	VERB
ejpam-750	196	11	the	the	DET
ejpam-750	196	12	terms	term	NOUN
ejpam-750	196	13	having	have	VERB
ejpam-750	196	14	b	b	X
ejpam-750	196	15	on	on	ADP
ejpam-750	196	16	one	one	NUM
ejpam-750	196	17	side	side	NOUN
ejpam-750	196	18	of	of	ADP
ejpam-750	196	19	the	the	DET
ejpam-750	196	20	equation	equation	NOUN
ejpam-750	196	21	and	and	CCONJ
ejpam-750	196	22	squaring	square	VERB
ejpam-750	196	23	both	both	DET
ejpam-750	196	24	sides	side	NOUN
ejpam-750	196	25	,	,	PUNCT
ejpam-750	196	26	we	we	PRON
ejpam-750	196	27	deduce	deduce	VERB
ejpam-750	196	28	that	that	PRON
ejpam-750	196	29	72aq4p2	72aq4p2	NUM
ejpam-750	197	1	−	−	NUM
ejpam-750	197	2	80q3p4ca+	80q3p4ca+	NUM
ejpam-750	197	3	192q3p3ca+	192q3p3ca+	NUM
ejpam-750	197	4	144q2p4ca−	144q2p4ca−	NUM
ejpam-750	197	5	48q4p3ca+	48q4p3ca+	NOUN
ejpam-750	197	6	96q2p2ac	96q2p2ac	NUM
ejpam-750	198	1	−	−	NUM
ejpam-750	198	2	144q3p2ac	144q3p2ac	NUM
ejpam-750	199	1	+	+	NUM
ejpam-750	199	2	96acp3q−	96acp3q−	NUM
ejpam-750	199	3	240acp3q2	240acp3q2	NUM
ejpam-750	199	4	+	+	CCONJ
ejpam-750	199	5	48acq4p2	48acq4p2	PROPN
ejpam-750	200	1	+	+	CCONJ
ejpam-750	201	1	16q4p4ac	16q4p4ac	NUM
ejpam-750	201	2	−	−	NOUN
ejpam-750	202	1	112qp4ac	112qp4ac	NUM
ejpam-750	202	2	−	−	PROPN
ejpam-750	202	3	16aq4pc	16aq4pc	PROPN
ejpam-750	203	1	+	+	CCONJ
ejpam-750	203	2	32cq3ap	32cq3ap	NUM
ejpam-750	203	3	−	−	NOUN
ejpam-750	203	4	16q2p2	16q2p2	NOUN
ejpam-750	203	5	+	+	CCONJ
ejpam-750	204	1	32q3p	32q3p	NUM
ejpam-750	204	2	−	−	NOUN
ejpam-750	204	3	32q3p2	32q3p2	NOUN
ejpam-750	204	4	+	+	CCONJ
ejpam-750	204	5	16q2p3	16q2p3	NUM
ejpam-750	204	6	+	+	CCONJ
ejpam-750	204	7	16q4p4c	16q4p4c	NUM
ejpam-750	204	8	−	−	NUM
ejpam-750	204	9	4q4p2	4q4p2	NOUN
ejpam-750	205	1	+	+	PUNCT
ejpam-750	205	2	16q4p	16q4p	NOUN
ejpam-750	205	3	+	+	SYM
ejpam-750	205	4	240ap3q3	240ap3q3	NUM
ejpam-750	206	1	+	+	CCONJ
ejpam-750	206	2	16a2q3p2	16a2q3p2	NUM
ejpam-750	206	3	+	+	NUM
ejpam-750	206	4	8a2q3p3	8a2q3p3	NUM
ejpam-750	207	1	+	+	CCONJ
ejpam-750	207	2	192q3p3c	192q3p3c	NUM
ejpam-750	207	3	+	+	CCONJ
ejpam-750	207	4	72q2p4a	72q2p4a	NUM
ejpam-750	207	5	−	−	PROPN
ejpam-750	207	6	64q3p4a−	64q3p4a−	NOUN
ejpam-750	207	7	4a2q4p2	4a2q4p2	PROPN
ejpam-750	207	8	+	+	NUM
ejpam-750	207	9	32acp4	32acp4	NUM
ejpam-750	208	1	−	−	PROPN
ejpam-750	208	2	32a2q2p3	32a2q2p3	NUM
ejpam-750	208	3	−	−	PROPN
ejpam-750	208	4	16aq4p	16aq4p	NUM
ejpam-750	208	5	−	−	PROPN
ejpam-750	208	6	16qp4a−	16qp4a−	NUM
ejpam-750	208	7	4q2p4a2	4q2p4a2	NUM
ejpam-750	209	1	+	+	CCONJ
ejpam-750	209	2	16qp4a2	16qp4a2	NUM
ejpam-750	210	1	+	+	CCONJ
ejpam-750	210	2	32a2qp3	32a2qp3	NUM
ejpam-750	210	3	−	−	NUM
ejpam-750	210	4	16a2q2p2	16a2q2p2	NUM
ejpam-750	210	5	+	+	CCONJ
ejpam-750	210	6	96q2p2c	96q2p2c	NUM
ejpam-750	210	7	−	−	ADP
ejpam-750	210	8	240q3p2c	240q3p2c	NUM
ejpam-750	210	9	−	−	PROPN
ejpam-750	210	10	80cq4p3	80cq4p3	NUM
ejpam-750	210	11	−	−	PROPN
ejpam-750	210	12	4q2p4	4q2p4	PROPN
ejpam-750	211	1	−	−	PROPN
ejpam-750	211	2	240q3p2a+	240q3p2a+	NOUN
ejpam-750	211	3	96q3pa+	96q3pa+	NUM
ejpam-750	211	4	96q2p2a+	96q2p2a+	NUM
ejpam-750	211	5	96q3pc	96q3pc	NOUN
ejpam-750	211	6	−	−	NOUN
ejpam-750	211	7	16qp4c	16qp4c	NUM
ejpam-750	211	8	+	+	CCONJ
ejpam-750	211	9	96ap3q−	96ap3q−	NUM
ejpam-750	211	10	112cq4p	112cq4p	NUM
ejpam-750	211	11	−	−	PROPN
ejpam-750	211	12	144q2p3c	144q2p3c	NUM
ejpam-750	211	13	−	−	NOUN
ejpam-750	211	14	16a2p4	16a2p4	NUM
ejpam-750	211	15	−	−	NOUN
ejpam-750	211	16	16ap4	16ap4	NUM
ejpam-750	211	17	+	+	CCONJ
ejpam-750	211	18	32cq4−	32cq4−	NUM
ejpam-750	211	19	16aq4	16aq4	NUM
ejpam-750	211	20	+	+	CCONJ
ejpam-750	211	21	48q2p4c	48q2p4c	NUM
ejpam-750	211	22	+	+	CCONJ
ejpam-750	212	1	144cq4p2	144cq4p2	NUM
ejpam-750	212	2	−	−	PROPN
ejpam-750	212	3	16q4	16q4	NUM
ejpam-750	212	4	−	−	PROPN
ejpam-750	212	5	64aq4p3	64aq4p3	NUM
ejpam-750	213	1	+	+	CCONJ
ejpam-750	213	2	16q4p4a+	16q4p4a+	PROPN
ejpam-750	213	3	32qp3c	32qp3c	NUM
ejpam-750	213	4	−	−	PROPN
ejpam-750	213	5	48q3p4c	48q3p4c	NUM
ejpam-750	213	6	−	−	PROPN
ejpam-750	213	7	240ap3q2	240ap3q2	NUM
ejpam-750	213	8	+	+	SYM
ejpam-750	213	9	8q3p3	8q3p3	NUM
ejpam-750	213	10	=	=	SYM
ejpam-750	213	11	0	0	X
ejpam-750	213	12	.	.	PUNCT
ejpam-750	214	1	(	(	PUNCT
ejpam-750	214	2	40	40	NUM
ejpam-750	214	3	)	)	PUNCT
ejpam-750	214	4	by	by	ADP
ejpam-750	214	5	eliminating	eliminate	VERB
ejpam-750	214	6	c	c	PROPN
ejpam-750	214	7	and	and	CCONJ
ejpam-750	214	8	a	a	PRON
ejpam-750	214	9	in	in	ADP
ejpam-750	214	10	the	the	DET
ejpam-750	214	11	similar	similar	ADJ
ejpam-750	214	12	manner	manner	NOUN
ejpam-750	214	13	and	and	CCONJ
ejpam-750	214	14	then	then	ADV
ejpam-750	214	15	using	use	VERB
ejpam-750	214	16	the	the	DET
ejpam-750	214	17	fact	fact	NOUN
ejpam-750	214	18	that	that	SCONJ
ejpam-750	214	19	x	x	X
ejpam-750	214	20	=	=	PUNCT
ejpam-750	214	21	pq	pq	PROPN
ejpam-750	214	22	and	and	CCONJ
ejpam-750	214	23	y	y	PROPN
ejpam-750	215	1	=	=	PUNCT
ejpam-750	215	2	p	p	PROPN
ejpam-750	215	3	/	/	SYM
ejpam-750	215	4	q	q	NOUN
ejpam-750	215	5	,	,	PUNCT
ejpam-750	215	6	we	we	PRON
ejpam-750	215	7	obtain	obtain	VERB
ejpam-750	215	8	(	(	PUNCT
ejpam-750	215	9	37	37	NUM
ejpam-750	215	10	)	)	PUNCT
ejpam-750	215	11	.	.	PUNCT
ejpam-750	216	1	theorem	theorem	VERB
ejpam-750	216	2	8	8	NUM
ejpam-750	216	3	.	.	PUNCT
ejpam-750	217	1	if	if	SCONJ
ejpam-750	217	2	x	x	PRON
ejpam-750	217	3	=	=	SYM
ejpam-750	217	4	ϕ(q)ϕ(q13	ϕ(q)ϕ(q13	NOUN
ejpam-750	217	5	)	)	PUNCT
ejpam-750	217	6	ϕ(q4)ϕ(q52	ϕ(q4)ϕ(q52	ADV
ejpam-750	217	7	)	)	PUNCT
ejpam-750	217	8	and	and	CCONJ
ejpam-750	217	9	y	y	PROPN
ejpam-750	217	10	=	=	PUNCT
ejpam-750	217	11	ϕ(q)ϕ(q52	ϕ(q)ϕ(q52	NOUN
ejpam-750	217	12	)	)	PUNCT
ejpam-750	217	13	ϕ(q4)ϕ(q13	ϕ(q4)ϕ(q13	NOUN
ejpam-750	217	14	)	)	PUNCT
ejpam-750	217	15	,	,	PUNCT
ejpam-750	217	16	then	then	ADV
ejpam-750	217	17	y	y	PROPN
ejpam-750	217	18	7	7	NUM
ejpam-750	217	19	+	+	CCONJ
ejpam-750	217	20	1	1	NUM
ejpam-750	217	21	y	y	PROPN
ejpam-750	217	22	7	7	NUM
ejpam-750	217	23	−	−	PROPN
ejpam-750	217	24	6734	6734	NUM
ejpam-750	217	25	�	�	NOUN
ejpam-750	217	26	y	y	PROPN
ejpam-750	217	27	6	6	NUM
ejpam-750	217	28	+	+	SYM
ejpam-750	217	29	1	1	NUM
ejpam-750	217	30	y	y	PROPN
ejpam-750	217	31	6	6	NUM
ejpam-750	217	32	�	�	PROPN
ejpam-750	217	33	−	−	PROPN
ejpam-750	217	34	13	13	NUM
ejpam-750	217	35	�	�	PROPN
ejpam-750	217	36	y	y	PROPN
ejpam-750	217	37	5	5	NUM
ejpam-750	217	38	+	+	CCONJ
ejpam-750	217	39	1	1	NUM
ejpam-750	217	40	y	y	PROPN
ejpam-750	217	41	5	5	NUM
ejpam-750	217	42	�	�	PROPN
ejpam-750	217	43	�	�	PROPN
ejpam-750	217	44	173721	173721	NUM
ejpam-750	217	45	+	+	SYM
ejpam-750	217	46	49184	49184	NUM
ejpam-750	217	47	�	�	NOUN
ejpam-750	217	48	x	x	PUNCT
ejpam-750	218	1	+	+	CCONJ
ejpam-750	218	2	4	4	NUM
ejpam-750	218	3	x	x	SYM
ejpam-750	218	4	�	�	PROPN
ejpam-750	218	5	�	�	PROPN
ejpam-750	218	6	−	−	PROPN
ejpam-750	218	7	52	52	NUM
ejpam-750	218	8	�	�	PROPN
ejpam-750	218	9	y	y	PROPN
ejpam-750	218	10	4	4	NUM
ejpam-750	219	1	+	+	SYM
ejpam-750	219	2	1	1	NUM
ejpam-750	219	3	y	y	PROPN
ejpam-750	219	4	4	4	NUM
ejpam-750	219	5	�	�	PROPN
ejpam-750	219	6	�	�	PROPN
ejpam-750	219	7	1803735	1803735	NUM
ejpam-750	219	8	+	+	NUM
ejpam-750	219	9	627156	627156	NUM
ejpam-750	219	10	�	�	NOUN
ejpam-750	219	11	x	x	PUNCT
ejpam-750	220	1	+	+	CCONJ
ejpam-750	220	2	4	4	NUM
ejpam-750	220	3	x	x	PART
ejpam-750	220	4	�	�	PROPN
ejpam-750	220	5	+	+	CCONJ
ejpam-750	220	6	85300	85300	NUM
ejpam-750	220	7	�	�	NOUN
ejpam-750	220	8	x	x	SYM
ejpam-750	220	9	2	2	NUM
ejpam-750	220	10	+	+	CCONJ
ejpam-750	220	11	16	16	NUM
ejpam-750	220	12	x	x	SYM
ejpam-750	220	13	2	2	NUM
ejpam-750	220	14	�	�	PROPN
ejpam-750	220	15	�	�	PROPN
ejpam-750	220	16	−	−	PROPN
ejpam-750	220	17	13	13	NUM
ejpam-750	220	18	�	�	PROPN
ejpam-750	220	19	y	y	PROPN
ejpam-750	220	20	3	3	NUM
ejpam-750	220	21	+	+	SYM
ejpam-750	220	22	1	1	NUM
ejpam-750	220	23	y	y	PROPN
ejpam-750	220	24	3	3	NUM
ejpam-750	220	25	�	�	PROPN
ejpam-750	220	26	�	�	PROPN
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ejpam-750	220	28	+	+	NUM
ejpam-750	220	29	35045664	35045664	NUM
ejpam-750	220	30	�	�	PROPN
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ejpam-750	220	36	+	+	CCONJ
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ejpam-750	220	45	�	�	PROPN
ejpam-750	220	46	+522240	+522240	NUM
ejpam-750	220	47	�	�	PROPN
ejpam-750	220	48	x	x	PUNCT
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ejpam-750	220	50	+	+	NUM
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ejpam-750	220	54	�	�	PROPN
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ejpam-750	220	65	�	�	PROPN
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ejpam-750	220	68	+	+	SYM
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ejpam-750	220	77	�	�	PROPN
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ejpam-750	220	85	+	+	CCONJ
ejpam-750	220	86	2651904	2651904	NUM
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ejpam-750	220	95	+	+	CCONJ
ejpam-750	220	96	112384	112384	NUM
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ejpam-750	220	106	−	−	PROPN
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ejpam-750	220	108	�	�	PROPN
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ejpam-750	220	118	�	�	NOUN
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ejpam-750	221	1	+	+	CCONJ
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ejpam-750	221	5	+	+	CCONJ
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ejpam-750	221	15	+18059264	+18059264	X
ejpam-750	221	16	�	�	PROPN
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ejpam-750	221	24	+	+	CCONJ
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ejpam-750	221	29	+	+	SYM
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ejpam-750	221	45	+	+	CCONJ
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ejpam-750	223	13			X
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ejpam-750	234	5	x	x	SYM
ejpam-750	234	6	5	5	NUM
ejpam-750	234	7	+	+	NUM
ejpam-750	234	8	32	32	NUM
ejpam-750	234	9	p	p	NOUN
ejpam-750	234	10	x	x	SYM
ejpam-750	234	11	5	5	NUM
ejpam-750	234	12			NOUN
ejpam-750	234	13			PUNCT
ejpam-750	235	1			PROPN
ejpam-750	235	2	+	+	NUM
ejpam-750	235	3	208	208	NUM
ejpam-750	235	4			NOUN
ejpam-750	235	5			NOUN
ejpam-750	235	6	p	p	X
ejpam-750	235	7	y	y	PROPN
ejpam-750	235	8	9	9	NUM
ejpam-750	235	9	+	+	CCONJ
ejpam-750	235	10	1	1	NUM
ejpam-750	235	11	p	p	NOUN
ejpam-750	235	12	y	y	PROPN
ejpam-750	235	13	9	9	NUM
ejpam-750	235	14			NOUN
ejpam-750	235	15			PUNCT
ejpam-750	236	1	�	�	PROPN
ejpam-750	236	2	53242	53242	NUM
ejpam-750	236	3	�	�	PROPN
ejpam-750	236	4	p	p	NOUN
ejpam-750	236	5	x	x	NOUN
ejpam-750	236	6	+	+	NUM
ejpam-750	236	7	2p	2p	NUM
ejpam-750	236	8	x	x	SYM
ejpam-750	236	9	�	�	PROPN
ejpam-750	236	10	+10113	+10113	NUM
ejpam-750	236	11			VERB
ejpam-750	236	12			NOUN
ejpam-750	236	13	p	p	X
ejpam-750	236	14	x	x	SYM
ejpam-750	236	15	3	3	NUM
ejpam-750	236	16	+	+	NUM
ejpam-750	236	17	8	8	NUM
ejpam-750	236	18	p	p	NOUN
ejpam-750	236	19	x	x	SYM
ejpam-750	236	20	3	3	NUM
ejpam-750	236	21			NOUN
ejpam-750	236	22			PUNCT
ejpam-750	237	1			PROPN
ejpam-750	237	2	+	+	NUM
ejpam-750	237	3	106912	106912	NUM
ejpam-750	237	4			NOUN
ejpam-750	237	5			NOUN
ejpam-750	237	6	p	p	X
ejpam-750	237	7	y	y	PROPN
ejpam-750	237	8	11	11	NUM
ejpam-750	237	9	+	+	CCONJ
ejpam-750	237	10	1	1	NUM
ejpam-750	237	11	p	p	NOUN
ejpam-750	237	12	y	y	PROPN
ejpam-750	237	13	11	11	NUM
ejpam-750	237	14			PROPN
ejpam-750	237	15			PROPN
ejpam-750	237	16	�	�	PROPN
ejpam-750	237	17	p	p	NOUN
ejpam-750	237	18	x	x	NOUN
ejpam-750	237	19	+	+	NUM
ejpam-750	237	20	2p	2p	NUM
ejpam-750	237	21	x	x	SYM
ejpam-750	237	22	�	�	PROPN
ejpam-750	237	23	=	=	SYM
ejpam-750	237	24	24251297512	24251297512	NUM
ejpam-750	237	25	+	+	SYM
ejpam-750	237	26	9667573344	9667573344	NUM
ejpam-750	237	27	�	�	NOUN
ejpam-750	237	28	x	x	PUNCT
ejpam-750	237	29	+	+	CCONJ
ejpam-750	237	30	4	4	NUM
ejpam-750	237	31	x	x	SYM
ejpam-750	237	32	�	�	PROPN
ejpam-750	237	33	+	+	CCONJ
ejpam-750	237	34	2403244896	2403244896	NUM
ejpam-750	237	35	�	�	NOUN
ejpam-750	237	36	x	x	SYM
ejpam-750	237	37	2	2	NUM
ejpam-750	237	38	+	+	CCONJ
ejpam-750	237	39	16	16	NUM
ejpam-750	237	40	x	x	SYM
ejpam-750	237	41	2	2	NUM
ejpam-750	237	42	�	�	PROPN
ejpam-750	237	43	+	+	CCONJ
ejpam-750	237	44	346604544	346604544	NUM
ejpam-750	237	45	�	�	NOUN
ejpam-750	237	46	x	x	SYM
ejpam-750	237	47	3	3	NUM
ejpam-750	237	48	+	+	NUM
ejpam-750	237	49	64	64	NUM
ejpam-750	237	50	x	x	SYM
ejpam-750	237	51	3	3	NUM
ejpam-750	237	52	�	�	PROPN
ejpam-750	237	53	+	+	CCONJ
ejpam-750	237	54	24986624	24986624	NUM
ejpam-750	237	55	�	�	NOUN
ejpam-750	237	56	x	x	SYM
ejpam-750	237	57	4	4	NUM
ejpam-750	237	58	+	+	SYM
ejpam-750	237	59	256	256	NUM
ejpam-750	237	60	x	x	SYM
ejpam-750	237	61	4	4	NUM
ejpam-750	237	62	�	�	PROPN
ejpam-750	237	63	+	+	CCONJ
ejpam-750	237	64	692224	692224	NUM
ejpam-750	237	65	�	�	NOUN
ejpam-750	237	66	x	x	SYM
ejpam-750	237	67	5	5	NUM
ejpam-750	237	68	+	+	SYM
ejpam-750	237	69	1024	1024	NUM
ejpam-750	237	70	x	x	SYM
ejpam-750	237	71	5	5	NUM
ejpam-750	237	72	�	�	PROPN
ejpam-750	237	73	+	+	CCONJ
ejpam-750	237	74	4096	4096	NUM
ejpam-750	237	75	�	�	NOUN
ejpam-750	237	76	x	x	PUNCT
ejpam-750	237	77	6	6	NUM
ejpam-750	237	78	+	+	SYM
ejpam-750	237	79	4096	4096	NUM
ejpam-750	237	80	x	x	SYM
ejpam-750	237	81	6	6	NUM
ejpam-750	237	82	�	�	PROPN
ejpam-750	237	83	.	.	PUNCT
ejpam-750	238	1	(	(	PUNCT
ejpam-750	238	2	41	41	NUM
ejpam-750	238	3	)	)	PUNCT
ejpam-750	238	4	theorem	theorem	NOUN
ejpam-750	238	5	9	9	NUM
ejpam-750	238	6	.	.	PUNCT
ejpam-750	239	1	if	if	SCONJ
ejpam-750	239	2	x	x	SYM
ejpam-750	239	3	=	=	SYM
ejpam-750	239	4	ϕ(q)ϕ(q17	ϕ(q)ϕ(q17	NOUN
ejpam-750	239	5	)	)	PUNCT
ejpam-750	239	6	ϕ(q4)ϕ(q68	ϕ(q4)ϕ(q68	NOUN
ejpam-750	239	7	)	)	PUNCT
ejpam-750	239	8	and	and	CCONJ
ejpam-750	239	9	y	y	PROPN
ejpam-750	239	10	=	=	PUNCT
ejpam-750	239	11	ϕ(q)ϕ(q68	ϕ(q)ϕ(q68	PROPN
ejpam-750	239	12	)	)	PUNCT
ejpam-750	239	13	ϕ(q4)ϕ(q17	ϕ(q4)ϕ(q17	PROPN
ejpam-750	239	14	)	)	PUNCT
ejpam-750	239	15	,	,	PUNCT
ejpam-750	239	16	then	then	ADV
ejpam-750	239	17	y	y	PROPN
ejpam-750	239	18	9	9	NUM
ejpam-750	240	1	+	+	CCONJ
ejpam-750	240	2	1	1	NUM
ejpam-750	240	3	y	y	PROPN
ejpam-750	240	4	9	9	NUM
ejpam-750	240	5	−	−	PROPN
ejpam-750	240	6	36754	36754	NUM
ejpam-750	240	7	�	�	PROPN
ejpam-750	240	8	y	y	ADP
ejpam-750	240	9	8	8	NUM
ejpam-750	240	10	+	+	SYM
ejpam-750	240	11	1	1	NUM
ejpam-750	240	12	y	y	SYM
ejpam-750	240	13	8	8	NUM
ejpam-750	240	14	�	�	PROPN
ejpam-750	240	15	−	−	PROPN
ejpam-750	240	16	17	17	NUM
ejpam-750	240	17	�	�	PROPN
ejpam-750	240	18	y	y	PROPN
ejpam-750	240	19	7	7	NUM
ejpam-750	240	20	+	+	CCONJ
ejpam-750	240	21	1	1	NUM
ejpam-750	240	22	y	y	PROPN
ejpam-750	240	23	7	7	NUM
ejpam-750	240	24	�	�	PROPN
ejpam-750	240	25	�	�	PROPN
ejpam-750	240	26	1096631	1096631	NUM
ejpam-750	240	27	+	+	NUM
ejpam-750	240	28	719552	719552	NUM
ejpam-750	240	29	�	�	NOUN
ejpam-750	240	30	x	x	PUNCT
ejpam-750	241	1	+	+	CCONJ
ejpam-750	241	2	4	4	NUM
ejpam-750	241	3	x	x	SYM
ejpam-750	241	4	�	�	PROPN
ejpam-750	241	5	�	�	PROPN
ejpam-750	241	6	−	−	PROPN
ejpam-750	241	7	272	272	NUM
ejpam-750	241	8	�	�	PROPN
ejpam-750	241	9	y	y	PROPN
ejpam-750	241	10	6	6	NUM
ejpam-750	241	11	+	+	SYM
ejpam-750	241	12	1	1	NUM
ejpam-750	241	13	y	y	PROPN
ejpam-750	241	14	6	6	NUM
ejpam-750	241	15	�	�	PROPN
ejpam-750	241	16	�	�	PROPN
ejpam-750	241	17	2211163	2211163	NUM
ejpam-750	241	18	+	+	SYM
ejpam-750	241	19	874270	874270	NUM
ejpam-750	241	20	�	�	NOUN
ejpam-750	241	21	x	x	PUNCT
ejpam-750	241	22	2	2	NUM
ejpam-750	241	23	+	+	NUM
ejpam-750	241	24	16	16	NUM
ejpam-750	241	25	x	x	SYM
ejpam-750	241	26	2	2	NUM
ejpam-750	241	27	�	�	PROPN
ejpam-750	241	28	+	+	CCONJ
ejpam-750	241	29	2693790	2693790	NUM
ejpam-750	241	30	�	�	NOUN
ejpam-750	241	31	x	x	PUNCT
ejpam-750	242	1	+	+	CCONJ
ejpam-750	242	2	4	4	NUM
ejpam-750	242	3	x	x	SYM
ejpam-750	242	4	�	�	PROPN
ejpam-750	242	5	�	�	PROPN
ejpam-750	242	6	+	+	CCONJ
ejpam-750	242	7	68	68	NUM
ejpam-750	242	8	�	�	PROPN
ejpam-750	242	9	y	y	PROPN
ejpam-750	242	10	5	5	NUM
ejpam-750	242	11	+	+	CCONJ
ejpam-750	242	12	1	1	NUM
ejpam-750	242	13	y	y	PROPN
ejpam-750	242	14	5	5	NUM
ejpam-750	242	15	�	�	PROPN
ejpam-750	242	16	�	�	PROPN
ejpam-750	242	17	79079901−	79079901−	NUM
ejpam-750	242	18	15277312	15277312	NUM
ejpam-750	242	19	�	�	NOUN
ejpam-750	242	20	x	x	PUNCT
ejpam-750	242	21	3	3	NUM
ejpam-750	242	22	+	+	NUM
ejpam-750	242	23	64	64	NUM
ejpam-750	242	24	x	x	SYM
ejpam-750	242	25	3	3	NUM
ejpam-750	242	26	�	�	PROPN
ejpam-750	242	27	−	−	PROPN
ejpam-750	242	28	114408800	114408800	NUM
ejpam-750	242	29	�	�	PROPN
ejpam-750	242	30	x	x	SYM
ejpam-750	242	31	2	2	NUM
ejpam-750	242	32	+	+	CCONJ
ejpam-750	242	33	16	16	NUM
ejpam-750	242	34	x	x	SYM
ejpam-750	242	35	2	2	NUM
ejpam-750	242	36	�	�	PROPN
ejpam-750	242	37	−157553008	−157553008	NOUN
ejpam-750	242	38	�	�	NOUN
ejpam-750	242	39	x	x	PUNCT
ejpam-750	243	1	+	+	CCONJ
ejpam-750	243	2	4	4	NUM
ejpam-750	243	3	x	x	SYM
ejpam-750	243	4	�	�	PROPN
ejpam-750	243	5	�	�	PROPN
ejpam-750	243	6	+	+	CCONJ
ejpam-750	243	7	136	136	NUM
ejpam-750	243	8	�	�	PROPN
ejpam-750	243	9	y	y	PROPN
ejpam-750	243	10	4	4	NUM
ejpam-750	243	11	+	+	SYM
ejpam-750	243	12	1	1	NUM
ejpam-750	243	13	y	y	PROPN
ejpam-750	243	14	4	4	NUM
ejpam-750	243	15	�	�	PROPN
ejpam-750	243	16	�	�	PROPN
ejpam-750	243	17	2016688545−	2016688545−	NUM
ejpam-750	243	18	10983072	10983072	NUM
ejpam-750	243	19	�	�	NOUN
ejpam-750	243	20	x	x	PUNCT
ejpam-750	243	21	4	4	NUM
ejpam-750	243	22	+	+	SYM
ejpam-750	243	23	256	256	NUM
ejpam-750	243	24	x	x	SYM
ejpam-750	243	25	4	4	NUM
ejpam-750	243	26	�	�	PROPN
ejpam-750	243	27	−159079808	−159079808	NOUN
ejpam-750	243	28	�	�	PROPN
ejpam-750	243	29	x	x	PUNCT
ejpam-750	244	1	3	3	NUM
ejpam-750	244	2	+	+	NUM
ejpam-750	244	3	64	64	NUM
ejpam-750	244	4	x	x	SYM
ejpam-750	244	5	3	3	NUM
ejpam-750	244	6	�	�	PROPN
ejpam-750	244	7	−	−	PROPN
ejpam-750	244	8	636257912	636257912	NUM
ejpam-750	244	9	�	�	PROPN
ejpam-750	244	10	x	x	SYM
ejpam-750	244	11	2	2	NUM
ejpam-750	245	1	+	+	CCONJ
ejpam-750	245	2	16	16	NUM
ejpam-750	245	3	x	x	SYM
ejpam-750	245	4	2	2	NUM
ejpam-750	245	5	�	�	PROPN
ejpam-750	245	6	−	−	PROPN
ejpam-750	245	7	237316728	237316728	NUM
ejpam-750	245	8	�	�	PROPN
ejpam-750	245	9	x	x	PUNCT
ejpam-750	246	1	+	+	CCONJ
ejpam-750	246	2	4	4	NUM
ejpam-750	246	3	x	x	SYM
ejpam-750	246	4	�	�	PROPN
ejpam-750	246	5	�	�	PROPN
ejpam-750	246	6	+	+	CCONJ
ejpam-750	246	7	68	68	NUM
ejpam-750	246	8	�	�	PROPN
ejpam-750	246	9	y	y	PROPN
ejpam-750	246	10	3	3	NUM
ejpam-750	246	11	+	+	CCONJ
ejpam-750	246	12	1	1	NUM
ejpam-750	246	13	x	x	SYM
ejpam-750	246	14	3	3	NUM
ejpam-750	246	15	�	�	PROPN
ejpam-750	246	16	�	�	PROPN
ejpam-750	246	17	39729209249	39729209249	NUM
ejpam-750	246	18	+	+	SYM
ejpam-750	246	19	4069258864	4069258864	NUM
ejpam-750	246	20	�	�	PROPN
ejpam-750	246	21	x	x	PUNCT
ejpam-750	247	1	+	+	CCONJ
ejpam-750	247	2	4	4	NUM
ejpam-750	247	3	x	x	SYM
ejpam-750	247	4	�	�	PROPN
ejpam-750	247	5	−	−	NUM
ejpam-750	247	6	6641286816	6641286816	NUM
ejpam-750	247	7	�	�	PROPN
ejpam-750	247	8	x	x	SYM
ejpam-750	247	9	2	2	NUM
ejpam-750	247	10	+	+	CCONJ
ejpam-750	247	11	16	16	NUM
ejpam-750	247	12	x	x	SYM
ejpam-750	247	13	2	2	NUM
ejpam-750	247	14	�	�	PROPN
ejpam-750	247	15	−2422235008	−2422235008	NOUN
ejpam-750	247	16	�	�	PROPN
ejpam-750	247	17	x	x	PUNCT
ejpam-750	247	18	3	3	NUM
ejpam-750	247	19	+	+	NUM
ejpam-750	247	20	64	64	NUM
ejpam-750	247	21	x	x	SYM
ejpam-750	247	22	3	3	NUM
ejpam-750	247	23	�	�	PROPN
ejpam-750	247	24	−	−	PROPN
ejpam-750	247	25	296408768	296408768	NUM
ejpam-750	247	26	�	�	PROPN
ejpam-750	247	27	x	x	PUNCT
ejpam-750	247	28	4	4	NUM
ejpam-750	247	29	+	+	SYM
ejpam-750	247	30	256	256	NUM
ejpam-750	247	31	x	x	SYM
ejpam-750	247	32	4	4	NUM
ejpam-750	247	33	�	�	PROPN
ejpam-750	247	34	−	−	PROPN
ejpam-750	247	35	11767808	11767808	NUM
ejpam-750	247	36	�	�	PROPN
ejpam-750	247	37	x	x	SYM
ejpam-750	247	38	5	5	NUM
ejpam-750	247	39	+	+	SYM
ejpam-750	247	40	1024	1024	NUM
ejpam-750	247	41	x	x	SYM
ejpam-750	247	42	5	5	NUM
ejpam-750	247	43	�	�	PROPN
ejpam-750	247	44	�	�	PROPN
ejpam-750	247	45	m.	m.	NOUN
ejpam-750	247	46	naika	naika	PROPN
ejpam-750	247	47	,	,	PUNCT
ejpam-750	247	48	k.	k.	PROPN
ejpam-750	247	49	bairy	bairy	PROPN
ejpam-750	247	50	,	,	PUNCT
ejpam-750	247	51	m.	m.	NOUN
ejpam-750	247	52	manjunatha	manjunatha	PROPN
ejpam-750	247	53	/	/	SYM
ejpam-750	247	54	eur	eur	PROPN
ejpam-750	247	55	.	.	PUNCT
ejpam-750	248	1	j.	j.	PROPN
ejpam-750	248	2	pure	pure	PROPN
ejpam-750	248	3	appl	appl	PROPN
ejpam-750	248	4	.	.	PROPN
ejpam-750	248	5	math	math	PROPN
ejpam-750	248	6	,	,	PUNCT
ejpam-750	248	7	3	3	NUM
ejpam-750	248	8	(	(	PUNCT
ejpam-750	248	9	2010	2010	NUM
ejpam-750	248	10	)	)	PUNCT
ejpam-750	248	11	,	,	PUNCT
ejpam-750	248	12	924	924	NUM
ejpam-750	248	13	-	-	SYM
ejpam-750	248	14	947	947	NUM
ejpam-750	248	15	934	934	NUM
ejpam-750	248	16	+	+	CCONJ
ejpam-750	248	17	272	272	NUM
ejpam-750	248	18	�	�	PROPN
ejpam-750	248	19	y	y	PROPN
ejpam-750	248	20	2	2	NUM
ejpam-750	248	21	+	+	CCONJ
ejpam-750	248	22	1	1	NUM
ejpam-750	248	23	y	y	PROPN
ejpam-750	248	24	2	2	NUM
ejpam-750	248	25	�	�	PROPN
ejpam-750	248	26	�	�	PROPN
ejpam-750	248	27	43899000931	43899000931	NUM
ejpam-750	248	28	+	+	SYM
ejpam-750	248	29	7993457534	7993457534	NUM
ejpam-750	248	30	�	�	NOUN
ejpam-750	248	31	x	x	SYM
ejpam-750	249	1	+	+	CCONJ
ejpam-750	249	2	4	4	NUM
ejpam-750	249	3	x	x	SYM
ejpam-750	249	4	�	�	PROPN
ejpam-750	249	5	−	−	NUM
ejpam-750	249	6	4759955170	4759955170	NUM
ejpam-750	249	7	�	�	PROPN
ejpam-750	249	8	x	x	SYM
ejpam-750	249	9	2	2	NUM
ejpam-750	249	10	+	+	CCONJ
ejpam-750	249	11	16	16	NUM
ejpam-750	249	12	x	x	SYM
ejpam-750	249	13	2	2	NUM
ejpam-750	249	14	�	�	NOUN
ejpam-750	249	15	−2288693056	−2288693056	PROPN
ejpam-750	249	16	�	�	PROPN
ejpam-750	249	17	x	x	PUNCT
ejpam-750	249	18	3	3	NUM
ejpam-750	250	1	+	+	NUM
ejpam-750	250	2	64	64	NUM
ejpam-750	250	3	x	x	SYM
ejpam-750	250	4	3	3	NUM
ejpam-750	250	5	�	�	PROPN
ejpam-750	250	6	−	−	PROPN
ejpam-750	250	7	369671072	369671072	NUM
ejpam-750	250	8	�	�	NOUN
ejpam-750	250	9	x	x	PUNCT
ejpam-750	250	10	4	4	NUM
ejpam-750	250	11	+	+	SYM
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ejpam-750	250	16	−	−	PROPN
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ejpam-750	250	18	�	�	NOUN
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ejpam-750	250	25	�	�	PROPN
ejpam-750	250	26	−572928	−572928	PROPN
ejpam-750	250	27	�	�	PROPN
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ejpam-750	250	30	+	+	SYM
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ejpam-750	250	36	+	+	CCONJ
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ejpam-750	250	43	�	�	PROPN
ejpam-750	250	44	�	�	PROPN
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ejpam-750	250	46	+	+	SYM
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ejpam-750	250	48	�	�	NOUN
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ejpam-750	251	16	�	�	PROPN
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ejpam-750	251	24	−	−	PROPN
ejpam-750	251	25	7258679936	7258679936	NUM
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ejpam-750	251	45	�	�	PROPN
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ejpam-750	256	7	y	y	PROPN
ejpam-750	256	8	7	7	NUM
ejpam-750	256	9			PROPN
ejpam-750	256	10			PROPN
ejpam-750	256	11	�	�	PROPN
ejpam-750	256	12	450392085	450392085	NUM
ejpam-750	256	13	�	�	PROPN
ejpam-750	256	14	p	p	NOUN
ejpam-750	256	15	x	x	NOUN
ejpam-750	256	16	+	+	NUM
ejpam-750	256	17	2p	2p	NUM
ejpam-750	256	18	x	x	SYM
ejpam-750	256	19	�	�	PROPN
ejpam-750	256	20	−	−	PROPN
ejpam-750	256	21	185484849	185484849	NUM
ejpam-750	256	22	�	�	PROPN
ejpam-750	256	23	p	p	NOUN
ejpam-750	256	24	x	x	SYM
ejpam-750	256	25	3	3	NUM
ejpam-750	256	26	+	+	NUM
ejpam-750	256	27	8	8	NUM
ejpam-750	256	28	p	p	NOUN
ejpam-750	256	29	x	x	SYM
ejpam-750	256	30	3	3	NUM
ejpam-750	256	31			PROPN
ejpam-750	256	32	−	−	PROPN
ejpam-750	256	33	128003816	128003816	NUM
ejpam-750	256	34			NOUN
ejpam-750	256	35			NOUN
ejpam-750	257	1	p	p	X
ejpam-750	257	2	x	x	SYM
ejpam-750	257	3	5	5	NUM
ejpam-750	257	4	+	+	NUM
ejpam-750	257	5	32	32	NUM
ejpam-750	257	6	p	p	NOUN
ejpam-750	257	7	x	x	SYM
ejpam-750	257	8	5	5	NUM
ejpam-750	257	9			PROPN
ejpam-750	257	10	−	−	PROPN
ejpam-750	257	11	21820492	21820492	NUM
ejpam-750	257	12			NOUN
ejpam-750	257	13			NOUN
ejpam-750	257	14	p	p	X
ejpam-750	257	15	x	x	SYM
ejpam-750	257	16	7	7	NUM
ejpam-750	257	17	+	+	SYM
ejpam-750	257	18	128	128	NUM
ejpam-750	257	19	p	p	NOUN
ejpam-750	257	20	x	x	SYM
ejpam-750	257	21	7	7	NUM
ejpam-750	257	22			PROPN
ejpam-750	257	23	−	−	PROPN
ejpam-750	257	24	1134848	1134848	NUM
ejpam-750	257	25	�	�	PROPN
ejpam-750	257	26	p	p	NOUN
ejpam-750	257	27	x	x	SYM
ejpam-750	257	28	9	9	NUM
ejpam-750	257	29	m.	m.	NOUN
ejpam-750	257	30	naika	naika	PROPN
ejpam-750	257	31	,	,	PUNCT
ejpam-750	257	32	k.	k.	PROPN
ejpam-750	257	33	bairy	bairy	PROPN
ejpam-750	257	34	,	,	PUNCT
ejpam-750	257	35	m.	m.	NOUN
ejpam-750	257	36	manjunatha	manjunatha	PROPN
ejpam-750	257	37	/	/	SYM
ejpam-750	257	38	eur	eur	PROPN
ejpam-750	257	39	.	.	PUNCT
ejpam-750	258	1	j.	j.	PROPN
ejpam-750	258	2	pure	pure	PROPN
ejpam-750	258	3	appl	appl	PROPN
ejpam-750	258	4	.	.	PROPN
ejpam-750	258	5	math	math	PROPN
ejpam-750	258	6	,	,	PUNCT
ejpam-750	258	7	3	3	NUM
ejpam-750	258	8	(	(	PUNCT
ejpam-750	258	9	2010	2010	NUM
ejpam-750	258	10	)	)	PUNCT
ejpam-750	258	11	,	,	PUNCT
ejpam-750	258	12	924	924	NUM
ejpam-750	258	13	-	-	SYM
ejpam-750	258	14	947	947	NUM
ejpam-750	258	15	935	935	NUM
ejpam-750	259	1	+	+	NUM
ejpam-750	259	2	512	512	NUM
ejpam-750	259	3	p	p	NOUN
ejpam-750	259	4	x	x	SYM
ejpam-750	259	5	9	9	NUM
ejpam-750	259	6			PROPN
ejpam-750	259	7			PROPN
ejpam-750	259	8			PROPN
ejpam-750	259	9			PROPN
ejpam-750	259	10			NOUN
ejpam-750	259	11	−	−	PROPN
ejpam-750	259	12	1088	1088	NUM
ejpam-750	259	13			NOUN
ejpam-750	259	14			NOUN
ejpam-750	260	1	p	p	X
ejpam-750	260	2	y	y	PROPN
ejpam-750	260	3	9	9	NUM
ejpam-750	260	4	+	+	SYM
ejpam-750	260	5	1	1	NUM
ejpam-750	260	6	p	p	NOUN
ejpam-750	260	7	y	y	PROPN
ejpam-750	260	8	9	9	NUM
ejpam-750	260	9			PROPN
ejpam-750	260	10			PROPN
ejpam-750	260	11			NOUN
ejpam-750	260	12			ADJ
ejpam-750	260	13			NOUN
ejpam-750	260	14	14667567	14667567	NUM
ejpam-750	260	15	�	�	PROPN
ejpam-750	260	16	p	p	NOUN
ejpam-750	260	17	x	x	X
ejpam-750	260	18	+	+	NUM
ejpam-750	260	19	2p	2p	NUM
ejpam-750	260	20	x	x	SYM
ejpam-750	260	21	�	�	PROPN
ejpam-750	260	22	−	−	PROPN
ejpam-750	260	23	34598985	34598985	NUM
ejpam-750	260	24			PROPN
ejpam-750	260	25			NOUN
ejpam-750	260	26	p	p	X
ejpam-750	260	27	x	x	SYM
ejpam-750	260	28	3	3	NUM
ejpam-750	260	29	+	+	NUM
ejpam-750	260	30	8	8	NUM
ejpam-750	260	31	p	p	NOUN
ejpam-750	260	32	x	x	SYM
ejpam-750	260	33	3	3	NUM
ejpam-750	260	34			PROPN
ejpam-750	260	35			PROPN
ejpam-750	260	36	−13824368	−13824368	NOUN
ejpam-750	260	37			NOUN
ejpam-750	260	38			NOUN
ejpam-750	260	39	p	p	X
ejpam-750	260	40	x	x	SYM
ejpam-750	260	41	5	5	NUM
ejpam-750	260	42	+	+	SYM
ejpam-750	260	43	32	32	NUM
ejpam-750	260	44	p	p	NOUN
ejpam-750	260	45	x	x	SYM
ejpam-750	260	46	5	5	NUM
ejpam-750	260	47			PROPN
ejpam-750	260	48	−	−	PROPN
ejpam-750	260	49	1300340	1300340	NUM
ejpam-750	260	50			NOUN
ejpam-750	260	51			NOUN
ejpam-750	260	52	p	p	X
ejpam-750	260	53	x	x	SYM
ejpam-750	260	54	7	7	NUM
ejpam-750	260	55	+	+	SYM
ejpam-750	260	56	128	128	NUM
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ejpam-750	260	58	x	x	SYM
ejpam-750	260	59	7	7	NUM
ejpam-750	260	60			PROPN
ejpam-750	260	61			PROPN
ejpam-750	260	62			NOUN
ejpam-750	260	63			PROPN
ejpam-750	260	64			NOUN
ejpam-750	260	65	+	+	CCONJ
ejpam-750	260	66	544	544	NUM
ejpam-750	260	67			NOUN
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ejpam-750	260	69	p	p	X
ejpam-750	260	70	y	y	PROPN
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ejpam-750	260	72	+	+	CCONJ
ejpam-750	260	73	1	1	NUM
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ejpam-750	260	75	y	y	PROPN
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ejpam-750	260	77			PROPN
ejpam-750	260	78			PROPN
ejpam-750	260	79	×	×	NOUN
ejpam-750	260	80			NOUN
ejpam-750	260	81			ADP
ejpam-750	260	82			PROPN
ejpam-750	260	83	3837042	3837042	NUM
ejpam-750	260	84	�	�	PROPN
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ejpam-750	260	87	+	+	NUM
ejpam-750	260	88	2p	2p	NUM
ejpam-750	260	89	x	x	SYM
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ejpam-750	260	91	+	+	CCONJ
ejpam-750	260	92	5300551	5300551	NUM
ejpam-750	260	93			NOUN
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ejpam-750	260	97	3	3	NUM
ejpam-750	260	98	+	+	NUM
ejpam-750	260	99	8	8	NUM
ejpam-750	260	100	p	p	NOUN
ejpam-750	260	101	x	x	SYM
ejpam-750	260	102	3	3	NUM
ejpam-750	260	103			PROPN
ejpam-750	260	104	+	+	NUM
ejpam-750	260	105	1065760	1065760	NUM
ejpam-750	260	106			NOUN
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ejpam-750	260	108	p	p	X
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ejpam-750	260	110	5	5	NUM
ejpam-750	260	111	+	+	NUM
ejpam-750	260	112	32	32	NUM
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ejpam-750	260	114	x	x	SYM
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ejpam-750	260	116			PROPN
ejpam-750	260	117			PROPN
ejpam-750	260	118			NOUN
ejpam-750	260	119			PROPN
ejpam-750	260	120			NOUN
ejpam-750	260	121	+	+	CCONJ
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ejpam-750	260	123			NOUN
ejpam-750	260	124			NOUN
ejpam-750	261	1	p	p	X
ejpam-750	261	2	y	y	PROPN
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ejpam-750	261	4	+	+	CCONJ
ejpam-750	261	5	1	1	NUM
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ejpam-750	261	10			SYM
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ejpam-750	261	12			ADJ
ejpam-750	261	13			PROPN
ejpam-750	261	14	78306	78306	NUM
ejpam-750	261	15	�	�	PROPN
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ejpam-750	261	18	+	+	NUM
ejpam-750	261	19	2p	2p	NUM
ejpam-750	261	20	x	x	SYM
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ejpam-750	261	29	+	+	NUM
ejpam-750	261	30	8	8	NUM
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ejpam-750	261	34			PROPN
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ejpam-750	261	44	y	y	PROPN
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ejpam-750	261	46	+	+	SYM
ejpam-750	261	47	1	1	NUM
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ejpam-750	261	49	y	y	NUM
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ejpam-750	261	51			PROPN
ejpam-750	261	52			PROPN
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ejpam-750	261	55	x	x	NOUN
ejpam-750	261	56	+	+	NUM
ejpam-750	261	57	2p	2p	NUM
ejpam-750	261	58	x	x	SYM
ejpam-750	261	59	�	�	PROPN
ejpam-750	261	60	+	+	CCONJ
ejpam-750	261	61	36888130319124=	36888130319124=	NUM
ejpam-750	261	62	128	128	NUM
ejpam-750	261	63	�	�	PROPN
ejpam-750	261	64	512	512	NUM
ejpam-750	261	65	�	�	PROPN
ejpam-750	261	66	x	x	SYM
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ejpam-750	261	68	+	+	NUM
ejpam-750	261	69	65536	65536	NUM
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ejpam-750	261	71	8	8	NUM
ejpam-750	261	72	�	�	PROPN
ejpam-750	261	73	+	+	CCONJ
ejpam-750	261	74	147968	147968	NUM
ejpam-750	261	75	�	�	NOUN
ejpam-750	261	76	x	x	PUNCT
ejpam-750	261	77	7	7	NUM
ejpam-750	261	78	+	+	SYM
ejpam-750	261	79	16384	16384	NUM
ejpam-750	261	80	x	x	SYM
ejpam-750	261	81	7	7	NUM
ejpam-750	261	82	�	�	PROPN
ejpam-750	261	83	+	+	CCONJ
ejpam-750	261	84	9450368	9450368	NUM
ejpam-750	261	85	�	�	NOUN
ejpam-750	261	86	x	x	PUNCT
ejpam-750	261	87	6	6	NUM
ejpam-750	261	88	+	+	SYM
ejpam-750	261	89	4096	4096	NUM
ejpam-750	261	90	x	x	SYM
ejpam-750	261	91	6	6	NUM
ejpam-750	261	92	�	�	PROPN
ejpam-750	261	93	+	+	CCONJ
ejpam-750	261	94	230775680	230775680	NUM
ejpam-750	261	95	�	�	NOUN
ejpam-750	261	96	x	x	PUNCT
ejpam-750	261	97	5	5	NUM
ejpam-750	261	98	+	+	SYM
ejpam-750	261	99	1024	1024	NUM
ejpam-750	261	100	x	x	SYM
ejpam-750	261	101	5	5	NUM
ejpam-750	261	102	�	�	PROPN
ejpam-750	261	103	+	+	CCONJ
ejpam-750	261	104	2576886724	2576886724	NUM
ejpam-750	261	105	�	�	NOUN
ejpam-750	261	106	x	x	PUNCT
ejpam-750	261	107	4	4	NUM
ejpam-750	261	108	+	+	SYM
ejpam-750	261	109	256	256	NUM
ejpam-750	261	110	x	x	SYM
ejpam-750	261	111	4	4	NUM
ejpam-750	261	112	�	�	PROPN
ejpam-750	261	113	+	+	NUM
ejpam-750	261	114	13262885376	13262885376	NUM
ejpam-750	261	115	�	�	NOUN
ejpam-750	261	116	x	x	PUNCT
ejpam-750	261	117	3	3	NUM
ejpam-750	261	118	+	+	NUM
ejpam-750	261	119	64	64	NUM
ejpam-750	261	120	x	x	SYM
ejpam-750	261	121	3	3	NUM
ejpam-750	261	122	�	�	PROPN
ejpam-750	261	123	+21325126145	+21325126145	NOUN
ejpam-750	261	124	�	�	PROPN
ejpam-750	261	125	x	x	SYM
ejpam-750	261	126	2	2	NUM
ejpam-750	261	127	+	+	CCONJ
ejpam-750	261	128	16	16	NUM
ejpam-750	261	129	x	x	SYM
ejpam-750	261	130	2	2	NUM
ejpam-750	261	131	�	�	PROPN
ejpam-750	261	132	−	−	PROPN
ejpam-750	261	133	65099344519	65099344519	NUM
ejpam-750	261	134	�	�	PROPN
ejpam-750	261	135	x	x	PUNCT
ejpam-750	262	1	+	+	CCONJ
ejpam-750	262	2	4	4	NUM
ejpam-750	262	3	x	x	SYM
ejpam-750	262	4	�	�	PROPN
ejpam-750	262	5	�	�	PROPN
ejpam-750	262	6	.	.	PUNCT
ejpam-750	263	1	(	(	PUNCT
ejpam-750	263	2	42	42	X
ejpam-750	263	3	)	)	PUNCT
ejpam-750	263	4	proofs	proof	NOUN
ejpam-750	263	5	of	of	ADP
ejpam-750	263	6	the	the	DET
ejpam-750	263	7	identities	identity	NOUN
ejpam-750	263	8	(	(	PUNCT
ejpam-750	263	9	41	41	NUM
ejpam-750	263	10	)	)	PUNCT
ejpam-750	263	11	and	and	CCONJ
ejpam-750	263	12	(	(	PUNCT
ejpam-750	263	13	42	42	NUM
ejpam-750	263	14	)	)	PUNCT
ejpam-750	263	15	are	be	AUX
ejpam-750	263	16	similar	similar	ADJ
ejpam-750	263	17	to	to	ADP
ejpam-750	263	18	the	the	DET
ejpam-750	263	19	proof	proof	NOUN
ejpam-750	263	20	of	of	ADP
ejpam-750	263	21	the	the	DET
ejpam-750	263	22	identity	identity	NOUN
ejpam-750	263	23	(	(	PUNCT
ejpam-750	263	24	38	38	NUM
ejpam-750	263	25	)	)	PUNCT
ejpam-750	263	26	given	give	VERB
ejpam-750	263	27	above	above	ADV
ejpam-750	263	28	except	except	SCONJ
ejpam-750	263	29	that	that	SCONJ
ejpam-750	263	30	in	in	ADP
ejpam-750	263	31	place	place	NOUN
ejpam-750	263	32	of	of	ADP
ejpam-750	263	33	result	result	NOUN
ejpam-750	263	34	(	(	PUNCT
ejpam-750	263	35	12	12	NUM
ejpam-750	263	36	)	)	PUNCT
ejpam-750	263	37	,	,	PUNCT
ejpam-750	263	38	result	result	NOUN
ejpam-750	263	39	(	(	PUNCT
ejpam-750	263	40	19	19	NUM
ejpam-750	263	41	)	)	PUNCT
ejpam-750	263	42	is	be	AUX
ejpam-750	263	43	used	use	VERB
ejpam-750	263	44	for	for	ADP
ejpam-750	263	45	proving	prove	VERB
ejpam-750	263	46	(	(	PUNCT
ejpam-750	263	47	41	41	NUM
ejpam-750	263	48	)	)	PUNCT
ejpam-750	263	49	;	;	PUNCT
ejpam-750	263	50	result	result	NOUN
ejpam-750	263	51	(	(	PUNCT
ejpam-750	263	52	20	20	NUM
ejpam-750	263	53	)	)	PUNCT
ejpam-750	263	54	and	and	CCONJ
ejpam-750	263	55	(	(	PUNCT
ejpam-750	263	56	21	21	NUM
ejpam-750	263	57	)	)	PUNCT
ejpam-750	263	58	is	be	AUX
ejpam-750	263	59	used	use	VERB
ejpam-750	263	60	for	for	ADP
ejpam-750	263	61	proving	prove	VERB
ejpam-750	263	62	(	(	PUNCT
ejpam-750	263	63	42	42	NUM
ejpam-750	263	64	)	)	PUNCT
ejpam-750	263	65	.	.	PUNCT
ejpam-750	264	1	4	4	X
ejpam-750	264	2	.	.	X
ejpam-750	264	3	general	general	ADJ
ejpam-750	264	4	formulas	formula	NOUN
ejpam-750	264	5	for	for	ADP
ejpam-750	264	6	explicit	explicit	ADJ
ejpam-750	264	7	evaluations	evaluation	NOUN
ejpam-750	264	8	of	of	ADP
ejpam-750	264	9	hk	hk	PROPN
ejpam-750	264	10	,	,	PUNCT
ejpam-750	264	11	n	n	CCONJ
ejpam-750	264	12	we	we	PRON
ejpam-750	264	13	shall	shall	AUX
ejpam-750	264	14	employ	employ	VERB
ejpam-750	264	15	modular	modular	ADJ
ejpam-750	264	16	equations	equation	NOUN
ejpam-750	264	17	in	in	ADP
ejpam-750	264	18	section	section	NOUN
ejpam-750	264	19	3	3	NUM
ejpam-750	264	20	to	to	PART
ejpam-750	264	21	establish	establish	VERB
ejpam-750	264	22	several	several	ADJ
ejpam-750	264	23	general	general	ADJ
ejpam-750	264	24	formulas	formula	NOUN
ejpam-750	264	25	for	for	ADP
ejpam-750	264	26	explicit	explicit	ADJ
ejpam-750	264	27	evaluations	evaluation	NOUN
ejpam-750	264	28	of	of	ADP
ejpam-750	264	29	hk	hk	PROPN
ejpam-750	264	30	,	,	PUNCT
ejpam-750	264	31	n.	n.	PROPN
ejpam-750	264	32	theorem	theorem	VERB
ejpam-750	264	33	10	10	NUM
ejpam-750	264	34	.	.	PUNCT
ejpam-750	265	1	for	for	ADP
ejpam-750	265	2	any	any	DET
ejpam-750	265	3	positive	positive	ADJ
ejpam-750	265	4	real	real	ADJ
ejpam-750	265	5	number	number	NOUN
ejpam-750	265	6	n	n	CCONJ
ejpam-750	265	7	,	,	PUNCT
ejpam-750	265	8	we	we	PRON
ejpam-750	265	9	have	have	VERB
ejpam-750	265	10	h2	h2	NOUN
ejpam-750	265	11	4,4n	4,4n	NOUN
ejpam-750	265	12	−	−	ADP
ejpam-750	265	13	2	2	NUM
ejpam-750	265	14	p	p	NOUN
ejpam-750	265	15	2h4,nh2	2h4,nh2	NUM
ejpam-750	265	16	4,4n	4,4n	NOUN
ejpam-750	265	17	−	−	ADP
ejpam-750	265	18	2	2	NUM
ejpam-750	265	19	p	p	NOUN
ejpam-750	265	20	2h4,4n	2h4,4n	NOUN
ejpam-750	265	21	+	+	CCONJ
ejpam-750	265	22	2	2	NUM
ejpam-750	265	23	+	+	NUM
ejpam-750	265	24	4h4,nh4,4n	4h4,nh4,4n	NUM
ejpam-750	265	25	−	−	NOUN
ejpam-750	265	26	2	2	NUM
ejpam-750	266	1	p	p	NOUN
ejpam-750	266	2	2h4,n	2h4,n	NUM
ejpam-750	266	3	−	−	NOUN
ejpam-750	266	4	2	2	NUM
ejpam-750	266	5	p	p	NOUN
ejpam-750	266	6	2h2	2h2	NUM
ejpam-750	266	7	4,nh4,4n	4,nh4,4n	X
ejpam-750	266	8	+	+	CCONJ
ejpam-750	266	9	2h2	2h2	NUM
ejpam-750	266	10	4,n+	4,n+	NUM
ejpam-750	266	11	2h2	2h2	NUM
ejpam-750	266	12	4,nh2	4,nh2	NUM
ejpam-750	266	13	4,4n	4,4n	NOUN
ejpam-750	266	14	=	=	SYM
ejpam-750	266	15	0	0	X
ejpam-750	266	16	.	.	PUNCT
ejpam-750	267	1	(	(	PUNCT
ejpam-750	267	2	43	43	NUM
ejpam-750	267	3	)	)	PUNCT
ejpam-750	267	4	proof	proof	NOUN
ejpam-750	267	5	.	.	PUNCT
ejpam-750	268	1	employing	employ	VERB
ejpam-750	268	2	(	(	PUNCT
ejpam-750	268	3	5	5	NUM
ejpam-750	268	4	)	)	PUNCT
ejpam-750	268	5	in	in	ADP
ejpam-750	268	6	(	(	PUNCT
ejpam-750	268	7	24	24	NUM
ejpam-750	268	8	)	)	PUNCT
ejpam-750	268	9	,	,	PUNCT
ejpam-750	268	10	we	we	PRON
ejpam-750	268	11	obtain	obtain	VERB
ejpam-750	268	12	(	(	PUNCT
ejpam-750	268	13	43	43	NUM
ejpam-750	268	14	)	)	PUNCT
ejpam-750	268	15	.	.	PUNCT
ejpam-750	269	1	m.	m.	NOUN
ejpam-750	269	2	naika	naika	PROPN
ejpam-750	269	3	,	,	PUNCT
ejpam-750	269	4	k.	k.	PROPN
ejpam-750	269	5	bairy	bairy	PROPN
ejpam-750	269	6	,	,	PUNCT
ejpam-750	269	7	m.	m.	NOUN
ejpam-750	269	8	manjunatha	manjunatha	PROPN
ejpam-750	269	9	/	/	SYM
ejpam-750	269	10	eur	eur	PROPN
ejpam-750	269	11	.	.	PUNCT
ejpam-750	270	1	j.	j.	PROPN
ejpam-750	270	2	pure	pure	PROPN
ejpam-750	270	3	appl	appl	PROPN
ejpam-750	270	4	.	.	PROPN
ejpam-750	270	5	math	math	PROPN
ejpam-750	270	6	,	,	PUNCT
ejpam-750	270	7	3	3	NUM
ejpam-750	270	8	(	(	PUNCT
ejpam-750	270	9	2010	2010	NUM
ejpam-750	270	10	)	)	PUNCT
ejpam-750	270	11	,	,	PUNCT
ejpam-750	270	12	924	924	NUM
ejpam-750	270	13	-	-	SYM
ejpam-750	270	14	947	947	NUM
ejpam-750	270	15	936	936	NUM
ejpam-750	270	16	corollary	corollary	NOUN
ejpam-750	270	17	1	1	NUM
ejpam-750	270	18	.	.	PUNCT
ejpam-750	271	1	we	we	PRON
ejpam-750	271	2	have	have	VERB
ejpam-750	271	3	h4,4	h4,4	PROPN
ejpam-750	271	4	=	=	SYM
ejpam-750	271	5	�	�	PROPN
ejpam-750	271	6	2−	2−	NUM
ejpam-750	271	7	p	p	NOUN
ejpam-750	271	8	2	2	NUM
ejpam-750	271	9	p	p	NOUN
ejpam-750	271	10	2	2	NUM
ejpam-750	271	11	�	�	NOUN
ejpam-750	271	12	(	(	PUNCT
ejpam-750	271	13	p	p	NOUN
ejpam-750	271	14	2	2	NUM
ejpam-750	271	15	+	+	NUM
ejpam-750	271	16	1	1	NUM
ejpam-750	271	17	)	)	PUNCT
ejpam-750	271	18	,	,	PUNCT
ejpam-750	271	19	(	(	PUNCT
ejpam-750	271	20	44	44	NUM
ejpam-750	271	21	)	)	PUNCT
ejpam-750	271	22	h4,1/4	h4,1/4	NOUN
ejpam-750	272	1	=	=	PUNCT
ejpam-750	272	2	(	(	PUNCT
ejpam-750	272	3	p	p	NOUN
ejpam-750	272	4	2	2	NUM
ejpam-750	272	5	+	+	NUM
ejpam-750	272	6	4	4	NUM
ejpam-750	272	7	p	p	NOUN
ejpam-750	272	8	2	2	NUM
ejpam-750	272	9	)	)	PUNCT
ejpam-750	272	10	2	2	NUM
ejpam-750	272	11	,	,	PUNCT
ejpam-750	272	12	(	(	PUNCT
ejpam-750	272	13	45	45	NUM
ejpam-750	272	14	)	)	PUNCT
ejpam-750	272	15	h4,2	h4,2	NOUN
ejpam-750	272	16	=	=	SYM
ejpam-750	272	17	1	1	NUM
ejpam-750	272	18	+	+	SYM
ejpam-750	272	19	p	p	X
ejpam-750	272	20	2−	2−	NUM
ejpam-750	272	21	pp	pp	ADP
ejpam-750	272	22	2	2	NUM
ejpam-750	272	23	+	+	NUM
ejpam-750	272	24	1	1	NUM
ejpam-750	272	25	,	,	PUNCT
ejpam-750	272	26	(	(	PUNCT
ejpam-750	272	27	46	46	NUM
ejpam-750	272	28	)	)	PUNCT
ejpam-750	272	29	h4,1/2	h4,1/2	NOUN
ejpam-750	273	1	=	=	SYM
ejpam-750	273	2	1	1	NUM
ejpam-750	273	3	+	+	NUM
ejpam-750	273	4	pp	pp	PROPN
ejpam-750	273	5	2−	2−	NUM
ejpam-750	273	6	1p	1p	NUM
ejpam-750	273	7	2	2	NUM
ejpam-750	273	8	.	.	PUNCT
ejpam-750	274	1	(	(	PUNCT
ejpam-750	274	2	47	47	NUM
ejpam-750	274	3	)	)	PUNCT
ejpam-750	274	4	proof	proof	NOUN
ejpam-750	274	5	.	.	PUNCT
ejpam-750	275	1	proofs	proof	NOUN
ejpam-750	275	2	of	of	ADP
ejpam-750	275	3	(	(	PUNCT
ejpam-750	275	4	44	44	NUM
ejpam-750	275	5	)	)	PUNCT
ejpam-750	275	6	and	and	CCONJ
ejpam-750	275	7	(	(	PUNCT
ejpam-750	275	8	45	45	NUM
ejpam-750	275	9	)	)	PUNCT
ejpam-750	275	10	putting	put	VERB
ejpam-750	275	11	n=	n=	ADJ
ejpam-750	275	12	1	1	NUM
ejpam-750	275	13	in	in	ADP
ejpam-750	275	14	(	(	PUNCT
ejpam-750	275	15	43	43	NUM
ejpam-750	275	16	)	)	PUNCT
ejpam-750	275	17	,	,	PUNCT
ejpam-750	275	18	we	we	PRON
ejpam-750	275	19	find	find	VERB
ejpam-750	275	20	that	that	SCONJ
ejpam-750	275	21	h2−	h2−	NOUN
ejpam-750	275	22	4	4	NUM
ejpam-750	275	23	(	(	PUNCT
ejpam-750	275	24	p	p	NOUN
ejpam-750	275	25	2	2	NUM
ejpam-750	275	26	+	+	NUM
ejpam-750	275	27	1)h+	1)h+	NUM
ejpam-750	275	28	4	4	NUM
ejpam-750	275	29	+	+	SYM
ejpam-750	275	30	2	2	NUM
ejpam-750	275	31	p	p	NOUN
ejpam-750	275	32	2=	2=	NUM
ejpam-750	275	33	0	0	NUM
ejpam-750	275	34	,	,	PUNCT
ejpam-750	275	35	(	(	PUNCT
ejpam-750	275	36	48	48	NUM
ejpam-750	275	37	)	)	PUNCT
ejpam-750	275	38	where	where	SCONJ
ejpam-750	275	39	h	h	NOUN
ejpam-750	275	40	:	:	PUNCT
ejpam-750	275	41	=	=	SYM
ejpam-750	275	42	h4,4	h4,4	PROPN
ejpam-750	275	43	.	.	PUNCT
ejpam-750	276	1	solving	solve	VERB
ejpam-750	276	2	the	the	DET
ejpam-750	276	3	above	above	ADJ
ejpam-750	276	4	equation	equation	NOUN
ejpam-750	276	5	,	,	PUNCT
ejpam-750	276	6	we	we	PRON
ejpam-750	276	7	obtain	obtain	VERB
ejpam-750	276	8	(	(	PUNCT
ejpam-750	276	9	44	44	NUM
ejpam-750	276	10	)	)	PUNCT
ejpam-750	276	11	and	and	CCONJ
ejpam-750	276	12	(	(	PUNCT
ejpam-750	276	13	45	45	NUM
ejpam-750	276	14	)	)	PUNCT
ejpam-750	276	15	.	.	PUNCT
ejpam-750	277	1	proof	proof	NOUN
ejpam-750	277	2	.	.	PUNCT
ejpam-750	278	1	proofs	proof	NOUN
ejpam-750	278	2	of	of	ADP
ejpam-750	278	3	(	(	PUNCT
ejpam-750	278	4	46	46	NUM
ejpam-750	278	5	)	)	PUNCT
ejpam-750	278	6	and	and	CCONJ
ejpam-750	278	7	(	(	PUNCT
ejpam-750	278	8	47	47	NUM
ejpam-750	278	9	)	)	PUNCT
ejpam-750	278	10	putting	put	VERB
ejpam-750	278	11	n=	n=	ADJ
ejpam-750	278	12	1/2	1/2	NUM
ejpam-750	278	13	in	in	ADP
ejpam-750	278	14	(	(	PUNCT
ejpam-750	278	15	43	43	NUM
ejpam-750	278	16	)	)	PUNCT
ejpam-750	278	17	,	,	PUNCT
ejpam-750	278	18	we	we	PRON
ejpam-750	278	19	find	find	VERB
ejpam-750	278	20	that	that	SCONJ
ejpam-750	278	21	(	(	PUNCT
ejpam-750	278	22	h2−	h2−	X
ejpam-750	278	23	2(1	2(1	NUM
ejpam-750	278	24	+	+	NOUN
ejpam-750	278	25	p	p	PROPN
ejpam-750	278	26	2)h+	2)h+	NUM
ejpam-750	278	27	2	2	NUM
ejpam-750	278	28	+	+	PROPN
ejpam-750	278	29	p	p	X
ejpam-750	278	30	2)(h2−	2)(h2−	NUM
ejpam-750	278	31	2	2	NUM
ejpam-750	278	32	(	(	PUNCT
ejpam-750	278	33	p	p	PROPN
ejpam-750	278	34	2−	2−	NUM
ejpam-750	278	35	1)h+	1)h+	NUM
ejpam-750	278	36	2−p2	2−p2	NUM
ejpam-750	278	37	)	)	PUNCT
ejpam-750	278	38	=	=	SYM
ejpam-750	279	1	0	0	NUM
ejpam-750	279	2	,	,	PUNCT
ejpam-750	279	3	(	(	PUNCT
ejpam-750	279	4	49	49	NUM
ejpam-750	279	5	)	)	PUNCT
ejpam-750	279	6	where	where	SCONJ
ejpam-750	279	7	h	h	NOUN
ejpam-750	279	8	:	:	PUNCT
ejpam-750	279	9	=	=	SYM
ejpam-750	280	1	h4,2	h4,2	NOUN
ejpam-750	280	2	.	.	PUNCT
ejpam-750	281	1	since	since	SCONJ
ejpam-750	281	2	the	the	DET
ejpam-750	281	3	roots	root	NOUN
ejpam-750	281	4	of	of	ADP
ejpam-750	281	5	the	the	DET
ejpam-750	281	6	second	second	ADJ
ejpam-750	281	7	factor	factor	NOUN
ejpam-750	281	8	are	be	AUX
ejpam-750	281	9	imaginary	imaginary	ADJ
ejpam-750	281	10	,	,	PUNCT
ejpam-750	281	11	we	we	PRON
ejpam-750	281	12	deduce	deduce	VERB
ejpam-750	281	13	that	that	DET
ejpam-750	281	14	h2	h2	NOUN
ejpam-750	281	15	−	−	NOUN
ejpam-750	281	16	2(1	2(1	NUM
ejpam-750	281	17	+	+	NOUN
ejpam-750	281	18	p	p	X
ejpam-750	281	19	2)h+	2)h+	NUM
ejpam-750	281	20	2	2	NUM
ejpam-750	281	21	+	+	SYM
ejpam-750	281	22	p	p	NOUN
ejpam-750	281	23	2=	2=	NUM
ejpam-750	281	24	0	0	NUM
ejpam-750	281	25	.	.	PUNCT
ejpam-750	282	1	(	(	PUNCT
ejpam-750	282	2	50	50	NUM
ejpam-750	282	3	)	)	PUNCT
ejpam-750	282	4	on	on	ADP
ejpam-750	282	5	solving	solve	VERB
ejpam-750	282	6	the	the	DET
ejpam-750	282	7	above	above	ADJ
ejpam-750	282	8	equation	equation	NOUN
ejpam-750	282	9	,	,	PUNCT
ejpam-750	282	10	we	we	PRON
ejpam-750	282	11	obtain	obtain	VERB
ejpam-750	282	12	(	(	PUNCT
ejpam-750	282	13	46	46	NUM
ejpam-750	282	14	)	)	PUNCT
ejpam-750	282	15	and	and	CCONJ
ejpam-750	282	16	(	(	PUNCT
ejpam-750	282	17	47	47	NUM
ejpam-750	282	18	)	)	PUNCT
ejpam-750	282	19	.	.	PUNCT
ejpam-750	283	1	theorem	theorem	VERB
ejpam-750	283	2	11	11	NUM
ejpam-750	283	3	.	.	PUNCT
ejpam-750	284	1	for	for	ADP
ejpam-750	284	2	any	any	DET
ejpam-750	284	3	positive	positive	ADJ
ejpam-750	284	4	real	real	ADJ
ejpam-750	284	5	number	number	NOUN
ejpam-750	284	6	n	n	CCONJ
ejpam-750	284	7	,	,	PUNCT
ejpam-750	284	8	we	we	PRON
ejpam-750	284	9	have	have	AUX
ejpam-750	284	10	n2	n2	ADJ
ejpam-750	284	11	+	+	CCONJ
ejpam-750	284	12	1	1	NUM
ejpam-750	284	13	n2	n2	NOUN
ejpam-750	284	14	−	−	PROPN
ejpam-750	284	15	12	12	NUM
ejpam-750	284	16	�	�	PROPN
ejpam-750	284	17	n	n	CCONJ
ejpam-750	284	18	+	+	CCONJ
ejpam-750	284	19	1	1	NUM
ejpam-750	284	20	n	n	DET
ejpam-750	284	21	�	�	NOUN
ejpam-750	284	22	+	+	CCONJ
ejpam-750	284	23	12	12	NUM
ejpam-750	284	24	p	p	SYM
ejpam-750	284	25	2	2	NUM
ejpam-750	284	26	�	�	NOUN
ejpam-750	284	27	p	p	NOUN
ejpam-750	284	28	m	m	PROPN
ejpam-750	284	29	+	+	X
ejpam-750	284	30	1p	1p	NUM
ejpam-750	284	31	m	m	NUM
ejpam-750	284	32	�	�	PROPN
ejpam-750	284	33	�	�	PROPN
ejpam-750	284	34	p	p	NOUN
ejpam-750	284	35	n	n	PROPN
ejpam-750	284	36	+	+	CCONJ
ejpam-750	284	37	1p	1p	NUM
ejpam-750	284	38	n	n	PRON
ejpam-750	284	39	�	�	NOUN
ejpam-750	284	40	=	=	SYM
ejpam-750	284	41	8	8	NUM
ejpam-750	284	42	�	�	PROPN
ejpam-750	284	43	m	m	VERB
ejpam-750	284	44	+	+	NOUN
ejpam-750	284	45	1	1	NUM
ejpam-750	284	46	m	m	PROPN
ejpam-750	284	47	�	�	NOUN
ejpam-750	284	48	+	+	CCONJ
ejpam-750	284	49	30	30	NUM
ejpam-750	284	50	,	,	PUNCT
ejpam-750	284	51	(	(	PUNCT
ejpam-750	284	52	51	51	NUM
ejpam-750	284	53	)	)	PUNCT
ejpam-750	284	54	where	where	SCONJ
ejpam-750	284	55	m	m	VERB
ejpam-750	284	56	=	=	X
ejpam-750	284	57	h4,nh4,9n	h4,nh4,9n	X
ejpam-750	284	58	and	and	CCONJ
ejpam-750	284	59	n	n	NOUN
ejpam-750	284	60	=	=	SYM
ejpam-750	285	1	h4,n	h4,n	PROPN
ejpam-750	285	2	h4,9n	h4,9n	PROPN
ejpam-750	285	3	.	.	PUNCT
ejpam-750	286	1	proof	proof	NOUN
ejpam-750	286	2	.	.	PUNCT
ejpam-750	287	1	from	from	ADP
ejpam-750	287	2	the	the	DET
ejpam-750	287	3	equations	equation	NOUN
ejpam-750	287	4	(	(	PUNCT
ejpam-750	287	5	5	5	NUM
ejpam-750	287	6	)	)	PUNCT
ejpam-750	287	7	and	and	CCONJ
ejpam-750	287	8	(	(	PUNCT
ejpam-750	287	9	26	26	NUM
ejpam-750	287	10	)	)	PUNCT
ejpam-750	287	11	,	,	PUNCT
ejpam-750	287	12	we	we	PRON
ejpam-750	287	13	obtain	obtain	VERB
ejpam-750	287	14	(	(	PUNCT
ejpam-750	287	15	51	51	NUM
ejpam-750	287	16	)	)	PUNCT
ejpam-750	287	17	.	.	PUNCT
ejpam-750	288	1	corollary	corollary	ADJ
ejpam-750	288	2	2	2	NUM
ejpam-750	288	3	.	.	PUNCT
ejpam-750	289	1	we	we	PRON
ejpam-750	289	2	have	have	VERB
ejpam-750	289	3	h4,9	h4,9	ADJ
ejpam-750	289	4	=	=	SYM
ejpam-750	289	5	5−	5−	NUM
ejpam-750	289	6	3	3	NUM
ejpam-750	289	7	p	p	NOUN
ejpam-750	289	8	2	2	NUM
ejpam-750	289	9	+	+	SYM
ejpam-750	289	10	3	3	NUM
ejpam-750	289	11	p	p	NOUN
ejpam-750	289	12	3−	3−	NUM
ejpam-750	289	13	2	2	NUM
ejpam-750	289	14	p	p	NOUN
ejpam-750	289	15	6−	6−	NUM
ejpam-750	289	16	q	q	NOUN
ejpam-750	289	17	93−	93−	NUM
ejpam-750	289	18	66	66	NUM
ejpam-750	289	19	p	p	NOUN
ejpam-750	289	20	2	2	NUM
ejpam-750	289	21	+	+	NUM
ejpam-750	289	22	54	54	NUM
ejpam-750	289	23	p	p	NOUN
ejpam-750	289	24	3−	3−	NUM
ejpam-750	289	25	38	38	NUM
ejpam-750	289	26	p	p	NOUN
ejpam-750	289	27	6	6	NUM
ejpam-750	289	28	,	,	PUNCT
ejpam-750	289	29	(	(	PUNCT
ejpam-750	289	30	52	52	NUM
ejpam-750	289	31	)	)	PUNCT
ejpam-750	289	32	m.	m.	NOUN
ejpam-750	289	33	naika	naika	PROPN
ejpam-750	289	34	,	,	PUNCT
ejpam-750	289	35	k.	k.	PROPN
ejpam-750	289	36	bairy	bairy	PROPN
ejpam-750	289	37	,	,	PUNCT
ejpam-750	289	38	m.	m.	NOUN
ejpam-750	289	39	manjunatha	manjunatha	PROPN
ejpam-750	289	40	/	/	SYM
ejpam-750	289	41	eur	eur	PROPN
ejpam-750	289	42	.	.	PUNCT
ejpam-750	290	1	j.	j.	PROPN
ejpam-750	290	2	pure	pure	PROPN
ejpam-750	290	3	appl	appl	PROPN
ejpam-750	290	4	.	.	PROPN
ejpam-750	290	5	math	math	PROPN
ejpam-750	290	6	,	,	PUNCT
ejpam-750	290	7	3	3	NUM
ejpam-750	290	8	(	(	PUNCT
ejpam-750	290	9	2010	2010	NUM
ejpam-750	290	10	)	)	PUNCT
ejpam-750	290	11	,	,	PUNCT
ejpam-750	290	12	924	924	NUM
ejpam-750	290	13	-	-	SYM
ejpam-750	290	14	947	947	NUM
ejpam-750	290	15	937	937	NUM
ejpam-750	290	16	h4,1/9	h4,1/9	NOUN
ejpam-750	290	17	=	=	SYM
ejpam-750	290	18	5−	5−	NUM
ejpam-750	290	19	3	3	NUM
ejpam-750	290	20	p	p	NOUN
ejpam-750	290	21	2	2	NUM
ejpam-750	290	22	+	+	SYM
ejpam-750	290	23	3	3	NUM
ejpam-750	290	24	p	p	NOUN
ejpam-750	290	25	3−	3−	NUM
ejpam-750	290	26	2	2	NUM
ejpam-750	290	27	p	p	NOUN
ejpam-750	290	28	6	6	NUM
ejpam-750	290	29	+	+	NOUN
ejpam-750	290	30	q	q	PROPN
ejpam-750	290	31	93−	93−	NUM
ejpam-750	290	32	66	66	NUM
ejpam-750	290	33	p	p	NOUN
ejpam-750	290	34	2	2	NUM
ejpam-750	290	35	+	+	NUM
ejpam-750	290	36	54	54	NUM
ejpam-750	290	37	p	p	NOUN
ejpam-750	290	38	3−	3−	NUM
ejpam-750	290	39	38	38	NUM
ejpam-750	290	40	p	p	NOUN
ejpam-750	290	41	6	6	NUM
ejpam-750	290	42	,	,	PUNCT
ejpam-750	290	43	(	(	PUNCT
ejpam-750	290	44	53	53	NUM
ejpam-750	290	45	)	)	PUNCT
ejpam-750	290	46	h4,3	h4,3	PROPN
ejpam-750	290	47	=	=	PUNCT
ejpam-750	290	48	�	�	PROPN
ejpam-750	290	49	p	p	NOUN
ejpam-750	290	50	2−	2−	NUM
ejpam-750	290	51	1	1	NUM
ejpam-750	290	52	�	�	PROPN
ejpam-750	290	53	�	�	PROPN
ejpam-750	290	54	p	p	NOUN
ejpam-750	290	55	3	3	NUM
ejpam-750	290	56	+	+	NUM
ejpam-750	290	57	1p	1p	NUM
ejpam-750	290	58	2	2	NUM
ejpam-750	290	59	�	�	NOUN
ejpam-750	290	60	,	,	PUNCT
ejpam-750	290	61	(	(	PUNCT
ejpam-750	290	62	54	54	NUM
ejpam-750	290	63	)	)	PUNCT
ejpam-750	290	64	h4,1/3	h4,1/3	NOUN
ejpam-750	291	1	=	=	PUNCT
ejpam-750	291	2	�	�	PROPN
ejpam-750	291	3	p	p	NOUN
ejpam-750	291	4	2	2	NUM
ejpam-750	291	5	+	+	NUM
ejpam-750	291	6	1	1	NUM
ejpam-750	291	7	�	�	PROPN
ejpam-750	291	8	�	�	PROPN
ejpam-750	291	9	p	p	PROPN
ejpam-750	291	10	3−	3−	NUM
ejpam-750	291	11	1p	1p	NUM
ejpam-750	291	12	2	2	NUM
ejpam-750	291	13	�	�	NOUN
ejpam-750	291	14	.	.	PUNCT
ejpam-750	292	1	(	(	PUNCT
ejpam-750	292	2	55	55	NUM
ejpam-750	292	3	)	)	PUNCT
ejpam-750	292	4	proof	proof	NOUN
ejpam-750	292	5	.	.	PUNCT
ejpam-750	293	1	[	[	X
ejpam-750	293	2	proofs	proof	NOUN
ejpam-750	293	3	of	of	ADP
ejpam-750	293	4	(	(	PUNCT
ejpam-750	293	5	52	52	NUM
ejpam-750	293	6	)	)	PUNCT
ejpam-750	293	7	and	and	CCONJ
ejpam-750	293	8	(	(	PUNCT
ejpam-750	293	9	53	53	NUM
ejpam-750	293	10	)	)	PUNCT
ejpam-750	293	11	]	]	PUNCT
ejpam-750	293	12	putting	put	VERB
ejpam-750	293	13	n=	n=	ADJ
ejpam-750	293	14	1	1	NUM
ejpam-750	293	15	in	in	ADP
ejpam-750	293	16	(	(	PUNCT
ejpam-750	293	17	51	51	NUM
ejpam-750	293	18	)	)	PUNCT
ejpam-750	293	19	,	,	PUNCT
ejpam-750	293	20	we	we	PRON
ejpam-750	293	21	find	find	VERB
ejpam-750	293	22	that	that	SCONJ
ejpam-750	293	23	x2−	x2−	PROPN
ejpam-750	293	24	(	(	PUNCT
ejpam-750	293	25	20−	20−	NUM
ejpam-750	293	26	12	12	NUM
ejpam-750	293	27	p	p	NOUN
ejpam-750	293	28	2)x	2)x	NUM
ejpam-750	293	29	−	−	PROPN
ejpam-750	293	30	32	32	NUM
ejpam-750	293	31	+	+	SYM
ejpam-750	293	32	24	24	NUM
ejpam-750	293	33	p	p	NOUN
ejpam-750	293	34	2=	2=	NUM
ejpam-750	293	35	0	0	NUM
ejpam-750	293	36	,	,	PUNCT
ejpam-750	293	37	(	(	PUNCT
ejpam-750	293	38	56	56	NUM
ejpam-750	293	39	)	)	PUNCT
ejpam-750	294	1	where	where	SCONJ
ejpam-750	294	2	x	x	X
ejpam-750	294	3	=	=	SYM
ejpam-750	294	4	h4,9	h4,9	ADJ
ejpam-750	294	5	+	+	NUM
ejpam-750	294	6	1	1	NUM
ejpam-750	294	7	h4,9	h4,9	NOUN
ejpam-750	294	8	.	.	PUNCT
ejpam-750	295	1	on	on	ADP
ejpam-750	295	2	solving	solve	VERB
ejpam-750	295	3	the	the	DET
ejpam-750	295	4	above	above	ADJ
ejpam-750	295	5	equation	equation	NOUN
ejpam-750	295	6	and	and	CCONJ
ejpam-750	295	7	x	x	X
ejpam-750	295	8	>	>	X
ejpam-750	295	9	1	1	NUM
ejpam-750	295	10	,	,	PUNCT
ejpam-750	295	11	we	we	PRON
ejpam-750	295	12	deduce	deduce	VERB
ejpam-750	295	13	that	that	SCONJ
ejpam-750	295	14	x	x	X
ejpam-750	296	1	=	=	PUNCT
ejpam-750	296	2	10−	10−	NUM
ejpam-750	296	3	6	6	NUM
ejpam-750	296	4	p	p	NOUN
ejpam-750	296	5	2	2	NUM
ejpam-750	296	6	+	+	SYM
ejpam-750	296	7	2	2	NUM
ejpam-750	296	8	p	p	NOUN
ejpam-750	296	9	51−	51−	NUM
ejpam-750	296	10	36	36	NUM
ejpam-750	296	11	p	p	NOUN
ejpam-750	296	12	2	2	NUM
ejpam-750	296	13	.	.	PUNCT
ejpam-750	296	14	(	(	PUNCT
ejpam-750	296	15	57	57	NUM
ejpam-750	296	16	)	)	PUNCT
ejpam-750	296	17	again	again	ADV
ejpam-750	296	18	solving	solve	VERB
ejpam-750	296	19	the	the	DET
ejpam-750	296	20	above	above	ADJ
ejpam-750	296	21	equation	equation	NOUN
ejpam-750	296	22	,	,	PUNCT
ejpam-750	296	23	we	we	PRON
ejpam-750	296	24	obtain	obtain	VERB
ejpam-750	296	25	(	(	PUNCT
ejpam-750	296	26	52	52	NUM
ejpam-750	296	27	)	)	PUNCT
ejpam-750	296	28	and	and	CCONJ
ejpam-750	296	29	(	(	PUNCT
ejpam-750	296	30	53	53	NUM
ejpam-750	296	31	)	)	PUNCT
ejpam-750	296	32	.	.	PUNCT
ejpam-750	297	1	proof	proof	NOUN
ejpam-750	297	2	.	.	PUNCT
ejpam-750	298	1	[	[	X
ejpam-750	298	2	proofs	proof	NOUN
ejpam-750	298	3	of	of	ADP
ejpam-750	298	4	(	(	PUNCT
ejpam-750	298	5	54	54	NUM
ejpam-750	298	6	)	)	PUNCT
ejpam-750	298	7	and	and	CCONJ
ejpam-750	298	8	(	(	PUNCT
ejpam-750	298	9	55	55	NUM
ejpam-750	298	10	)	)	PUNCT
ejpam-750	298	11	]	]	PUNCT
ejpam-750	298	12	putting	put	VERB
ejpam-750	298	13	n=	n=	ADV
ejpam-750	298	14	1/3	1/3	NUM
ejpam-750	298	15	in	in	ADP
ejpam-750	298	16	(	(	PUNCT
ejpam-750	298	17	51	51	NUM
ejpam-750	298	18	)	)	PUNCT
ejpam-750	298	19	,	,	PUNCT
ejpam-750	298	20	we	we	PRON
ejpam-750	298	21	find	find	VERB
ejpam-750	298	22	that	that	SCONJ
ejpam-750	298	23	(	(	PUNCT
ejpam-750	298	24	x2	x2	NOUN
ejpam-750	298	25	+	+	X
ejpam-750	298	26	2	2	NUM
ejpam-750	298	27	p	p	NOUN
ejpam-750	298	28	2x	2x	NUM
ejpam-750	298	29	−	−	PROPN
ejpam-750	298	30	10)(x	10)(x	NOUN
ejpam-750	298	31	−p2)2	−p2)2	PUNCT
ejpam-750	298	32	=	=	SYM
ejpam-750	298	33	0	0	NUM
ejpam-750	298	34	,	,	PUNCT
ejpam-750	298	35	(	(	PUNCT
ejpam-750	298	36	58	58	NUM
ejpam-750	298	37	)	)	PUNCT
ejpam-750	298	38	where	where	SCONJ
ejpam-750	298	39	x	x	X
ejpam-750	298	40	=	=	SYM
ejpam-750	298	41	h4,3	h4,3	PROPN
ejpam-750	299	1	+	+	NOUN
ejpam-750	299	2	1	1	NUM
ejpam-750	299	3	h4,3	h4,3	PROPN
ejpam-750	299	4	.	.	PUNCT
ejpam-750	300	1	since	since	SCONJ
ejpam-750	300	2	x	x	PROPN
ejpam-750	300	3	>	>	X
ejpam-750	300	4	1	1	NUM
ejpam-750	300	5	,	,	PUNCT
ejpam-750	300	6	we	we	PRON
ejpam-750	300	7	find	find	VERB
ejpam-750	300	8	that	that	SCONJ
ejpam-750	300	9	x2	x2	PROPN
ejpam-750	300	10	+	+	CCONJ
ejpam-750	300	11	2	2	NUM
ejpam-750	300	12	p	p	NOUN
ejpam-750	300	13	2x	2x	NUM
ejpam-750	300	14	−	−	PROPN
ejpam-750	300	15	10=	10=	NUM
ejpam-750	300	16	0	0	NUM
ejpam-750	300	17	.	.	PUNCT
ejpam-750	301	1	(	(	PUNCT
ejpam-750	301	2	59	59	NUM
ejpam-750	301	3	)	)	PUNCT
ejpam-750	301	4	solving	solve	VERB
ejpam-750	301	5	the	the	DET
ejpam-750	301	6	above	above	ADJ
ejpam-750	301	7	equation	equation	NOUN
ejpam-750	301	8	,	,	PUNCT
ejpam-750	301	9	we	we	PRON
ejpam-750	301	10	obtain	obtain	VERB
ejpam-750	301	11	(	(	PUNCT
ejpam-750	301	12	54	54	NUM
ejpam-750	301	13	)	)	PUNCT
ejpam-750	301	14	and	and	CCONJ
ejpam-750	301	15	(	(	PUNCT
ejpam-750	301	16	55	55	NUM
ejpam-750	301	17	)	)	PUNCT
ejpam-750	301	18	.	.	PUNCT
ejpam-750	302	1	theorem	theorem	NOUN
ejpam-750	302	2	12	12	NUM
ejpam-750	302	3	.	.	PUNCT
ejpam-750	303	1	for	for	ADP
ejpam-750	303	2	any	any	DET
ejpam-750	303	3	positive	positive	ADJ
ejpam-750	303	4	real	real	ADJ
ejpam-750	303	5	number	number	NOUN
ejpam-750	303	6	n	n	CCONJ
ejpam-750	303	7	,	,	PUNCT
ejpam-750	303	8	we	we	PRON
ejpam-750	303	9	have	have	AUX
ejpam-750	303	10	n3	n3	VERB
ejpam-750	303	11	+	+	CCONJ
ejpam-750	303	12	1	1	NUM
ejpam-750	303	13	n3	n3	NOUN
ejpam-750	303	14	−	−	PROPN
ejpam-750	303	15	70	70	NUM
ejpam-750	303	16	�	�	PROPN
ejpam-750	303	17	n2	n2	NOUN
ejpam-750	303	18	+	+	CCONJ
ejpam-750	303	19	1	1	NUM
ejpam-750	303	20	n2	n2	ADJ
ejpam-750	303	21	�	�	PROPN
ejpam-750	303	22	−	−	PROPN
ejpam-750	303	23	785	785	NUM
ejpam-750	303	24	�	�	PROPN
ejpam-750	303	25	n	n	CCONJ
ejpam-750	303	26	+	+	CCONJ
ejpam-750	303	27	1	1	NUM
ejpam-750	303	28	n	n	PRON
ejpam-750	303	29	�	�	NOUN
ejpam-750	303	30	+	+	CCONJ
ejpam-750	303	31	160	160	NUM
ejpam-750	303	32	p	p	NOUN
ejpam-750	303	33	2	2	NUM
ejpam-750	303	34			NOUN
ejpam-750	303	35			ADP
ejpam-750	303	36			ADJ
ejpam-750	303	37			PROPN
ejpam-750	303	38			NOUN
ejpam-750	303	39	p	p	X
ejpam-750	303	40	n3	n3	NOUN
ejpam-750	303	41	+	+	CCONJ
ejpam-750	303	42	1	1	NUM
ejpam-750	303	43	p	p	NOUN
ejpam-750	303	44	n3	n3	NOUN
ejpam-750	303	45			PROPN
ejpam-750	303	46			PROPN
ejpam-750	303	47	×	×	NOUN
ejpam-750	303	48	�	�	PROPN
ejpam-750	303	49	p	p	NOUN
ejpam-750	303	50	m	m	PROPN
ejpam-750	303	51	+	+	X
ejpam-750	303	52	1p	1p	NUM
ejpam-750	303	53	m	m	PROPN
ejpam-750	303	54	�	�	PROPN
ejpam-750	303	55	+	+	NUM
ejpam-750	303	56	�	�	PROPN
ejpam-750	303	57	p	p	NOUN
ejpam-750	303	58	n	n	NOUN
ejpam-750	303	59	+	+	CCONJ
ejpam-750	303	60	1p	1p	NUM
ejpam-750	303	61	n	n	PRON
ejpam-750	303	62	�	�	PROPN
ejpam-750	303	63			PROPN
ejpam-750	303	64			NOUN
ejpam-750	303	65	p	p	DET
ejpam-750	303	66	m3	m3	PROPN
ejpam-750	303	67	+	+	CCONJ
ejpam-750	303	68	1	1	NUM
ejpam-750	303	69	p	p	NOUN
ejpam-750	303	70	m3	m3	PROPN
ejpam-750	303	71	+	+	CCONJ
ejpam-750	303	72	5	5	NUM
ejpam-750	303	73	�	�	NOUN
ejpam-750	303	74	p	p	NOUN
ejpam-750	303	75	m	m	PROPN
ejpam-750	303	76	+	+	X
ejpam-750	303	77	1p	1p	NUM
ejpam-750	303	78	m	m	VERB
ejpam-750	303	79	�	�	PROPN
ejpam-750	303	80			PROPN
ejpam-750	303	81			PROPN
ejpam-750	303	82			PROPN
ejpam-750	303	83			PROPN
ejpam-750	303	84			NOUN
ejpam-750	303	85	=	=	SYM
ejpam-750	303	86	160	160	NUM
ejpam-750	303	87	�	�	NOUN
ejpam-750	303	88	m	m	VERB
ejpam-750	303	89	+	+	NOUN
ejpam-750	303	90	1	1	NUM
ejpam-750	303	91	m	m	NOUN
ejpam-750	303	92	�	�	NOUN
ejpam-750	303	93	�	�	PROPN
ejpam-750	303	94	5	5	NUM
ejpam-750	303	95	+	+	SYM
ejpam-750	303	96	2	2	NUM
ejpam-750	303	97	�	�	PROPN
ejpam-750	303	98	n	n	NOUN
ejpam-750	303	99	+	+	CCONJ
ejpam-750	303	100	1	1	NUM
ejpam-750	303	101	n	n	PRON
ejpam-750	303	102	�	�	PROPN
ejpam-750	303	103	�	�	PROPN
ejpam-750	303	104	+	+	CCONJ
ejpam-750	303	105	64	64	NUM
ejpam-750	303	106	�	�	PROPN
ejpam-750	303	107	m2	m2	PROPN
ejpam-750	303	108	+	+	CCONJ
ejpam-750	303	109	1	1	NUM
ejpam-750	303	110	m2	m2	PROPN
ejpam-750	303	111	�	�	PROPN
ejpam-750	303	112	+	+	CCONJ
ejpam-750	303	113	1620	1620	NUM
ejpam-750	303	114	,	,	PUNCT
ejpam-750	303	115	(	(	PUNCT
ejpam-750	303	116	60	60	NUM
ejpam-750	303	117	)	)	PUNCT
ejpam-750	303	118	where	where	SCONJ
ejpam-750	303	119	m	m	VERB
ejpam-750	303	120	=	=	SYM
ejpam-750	303	121	h4,nh4,25n	h4,nh4,25n	PROPN
ejpam-750	303	122	and	and	CCONJ
ejpam-750	303	123	n	n	NOUN
ejpam-750	303	124	=	=	SYM
ejpam-750	304	1	h4,n	h4,n	PROPN
ejpam-750	304	2	h4,25n	h4,25n	PROPN
ejpam-750	304	3	.	.	PUNCT
ejpam-750	305	1	m.	m.	NOUN
ejpam-750	305	2	naika	naika	PROPN
ejpam-750	305	3	,	,	PUNCT
ejpam-750	305	4	k.	k.	PROPN
ejpam-750	305	5	bairy	bairy	PROPN
ejpam-750	305	6	,	,	PUNCT
ejpam-750	305	7	m.	m.	NOUN
ejpam-750	305	8	manjunatha	manjunatha	PROPN
ejpam-750	305	9	/	/	SYM
ejpam-750	305	10	eur	eur	PROPN
ejpam-750	305	11	.	.	PUNCT
ejpam-750	306	1	j.	j.	PROPN
ejpam-750	306	2	pure	pure	PROPN
ejpam-750	306	3	appl	appl	PROPN
ejpam-750	306	4	.	.	PROPN
ejpam-750	306	5	math	math	PROPN
ejpam-750	306	6	,	,	PUNCT
ejpam-750	306	7	3	3	NUM
ejpam-750	306	8	(	(	PUNCT
ejpam-750	306	9	2010	2010	NUM
ejpam-750	306	10	)	)	PUNCT
ejpam-750	306	11	,	,	PUNCT
ejpam-750	306	12	924	924	NUM
ejpam-750	306	13	-	-	SYM
ejpam-750	306	14	947	947	NUM
ejpam-750	306	15	938	938	NUM
ejpam-750	306	16	proof	proof	NOUN
ejpam-750	306	17	.	.	PUNCT
ejpam-750	307	1	employing	employ	VERB
ejpam-750	307	2	(	(	PUNCT
ejpam-750	307	3	5	5	NUM
ejpam-750	307	4	)	)	PUNCT
ejpam-750	307	5	in	in	ADP
ejpam-750	307	6	(	(	PUNCT
ejpam-750	307	7	30	30	NUM
ejpam-750	307	8	)	)	PUNCT
ejpam-750	307	9	,	,	PUNCT
ejpam-750	307	10	we	we	PRON
ejpam-750	307	11	obtain	obtain	VERB
ejpam-750	307	12	(	(	PUNCT
ejpam-750	307	13	60	60	NUM
ejpam-750	307	14	)	)	PUNCT
ejpam-750	307	15	.	.	PUNCT
ejpam-750	308	1	corollary	corollary	ADJ
ejpam-750	308	2	3	3	X
ejpam-750	308	3	.	.	PUNCT
ejpam-750	309	1	we	we	PRON
ejpam-750	309	2	have	have	VERB
ejpam-750	309	3	h4,25	h4,25	NUM
ejpam-750	309	4	=	=	SYM
ejpam-750	309	5	(	(	PUNCT
ejpam-750	309	6	p	p	PROPN
ejpam-750	309	7	2−	2−	NUM
ejpam-750	309	8	1)4	1)4	PROPN
ejpam-750	309	9	�	�	NOUN
ejpam-750	309	10	18	18	NUM
ejpam-750	309	11	+	+	NUM
ejpam-750	309	12	8	8	NUM
ejpam-750	309	13	p	p	NOUN
ejpam-750	309	14	2	2	NUM
ejpam-750	309	15	+	+	NUM
ejpam-750	309	16	3	3	NUM
ejpam-750	309	17	p	p	NOUN
ejpam-750	309	18	5−	5−	NUM
ejpam-750	309	19	2	2	NUM
ejpam-750	309	20	p	p	NOUN
ejpam-750	309	21	27	27	NUM
ejpam-750	309	22	p	p	NOUN
ejpam-750	309	23	5	5	NUM
ejpam-750	309	24	+	+	SYM
ejpam-750	309	25	12	12	NUM
ejpam-750	309	26	p	p	NOUN
ejpam-750	309	27	10−	10−	NOUN
ejpam-750	309	28	30	30	NUM
ejpam-750	309	29	p	p	NOUN
ejpam-750	309	30	2−	2−	NUM
ejpam-750	309	31	20	20	NUM
ejpam-750	309	32	�	�	PROPN
ejpam-750	309	33	,	,	PUNCT
ejpam-750	309	34	(	(	PUNCT
ejpam-750	309	35	61	61	NUM
ejpam-750	309	36	)	)	PUNCT
ejpam-750	309	37	h4,1/25	h4,1/25	PROPN
ejpam-750	310	1	=	=	SYM
ejpam-750	310	2	(	(	PUNCT
ejpam-750	310	3	p	p	PROPN
ejpam-750	310	4	2−	2−	NUM
ejpam-750	310	5	1)4	1)4	PROPN
ejpam-750	310	6	�	�	NOUN
ejpam-750	310	7	18	18	NUM
ejpam-750	310	8	+	+	NUM
ejpam-750	310	9	8	8	NUM
ejpam-750	310	10	p	p	NOUN
ejpam-750	310	11	2	2	NUM
ejpam-750	310	12	+	+	SYM
ejpam-750	310	13	3	3	NUM
ejpam-750	310	14	p	p	NOUN
ejpam-750	310	15	5	5	NUM
ejpam-750	310	16	+	+	SYM
ejpam-750	310	17	2	2	NUM
ejpam-750	310	18	p	p	NOUN
ejpam-750	310	19	27	27	NUM
ejpam-750	310	20	p	p	NOUN
ejpam-750	310	21	5	5	NUM
ejpam-750	310	22	+	+	SYM
ejpam-750	310	23	12	12	NUM
ejpam-750	310	24	p	p	NOUN
ejpam-750	310	25	10−	10−	NOUN
ejpam-750	310	26	30	30	NUM
ejpam-750	310	27	p	p	NOUN
ejpam-750	310	28	2−	2−	NUM
ejpam-750	310	29	20	20	NUM
ejpam-750	310	30	�	�	PROPN
ejpam-750	310	31	,	,	PUNCT
ejpam-750	310	32	(	(	PUNCT
ejpam-750	310	33	62	62	NUM
ejpam-750	310	34	)	)	PUNCT
ejpam-750	310	35	h4,5	h4,5	NOUN
ejpam-750	311	1	=	=	PUNCT
ejpam-750	311	2	è	è	NOUN
ejpam-750	311	3	17	17	NUM
ejpam-750	311	4	+	+	SYM
ejpam-750	311	5	7	7	NUM
ejpam-750	311	6	p	p	NOUN
ejpam-750	311	7	5−	5−	NUM
ejpam-750	311	8	4	4	NUM
ejpam-750	311	9	p	p	NOUN
ejpam-750	311	10	29	29	NUM
ejpam-750	311	11	+	+	NUM
ejpam-750	311	12	13	13	NUM
ejpam-750	311	13	p	p	NOUN
ejpam-750	311	14	5	5	NUM
ejpam-750	311	15	2	2	NUM
ejpam-750	311	16	−	−	NOUN
ejpam-750	311	17	è	è	PROPN
ejpam-750	311	18	15	15	NUM
ejpam-750	311	19	+	+	SYM
ejpam-750	311	20	7	7	NUM
ejpam-750	311	21	p	p	NOUN
ejpam-750	311	22	5−	5−	NUM
ejpam-750	311	23	4	4	NUM
ejpam-750	311	24	p	p	NOUN
ejpam-750	311	25	29	29	NUM
ejpam-750	311	26	+	+	NUM
ejpam-750	311	27	13	13	NUM
ejpam-750	311	28	p	p	NOUN
ejpam-750	311	29	5	5	NUM
ejpam-750	311	30	2	2	NUM
ejpam-750	311	31	,	,	PUNCT
ejpam-750	311	32	(	(	PUNCT
ejpam-750	311	33	63	63	NUM
ejpam-750	311	34	)	)	PUNCT
ejpam-750	311	35	h4,1/5	h4,1/5	NOUN
ejpam-750	311	36	=	=	NOUN
ejpam-750	311	37	è	è	NOUN
ejpam-750	311	38	17	17	NUM
ejpam-750	311	39	+	+	SYM
ejpam-750	311	40	7	7	NUM
ejpam-750	311	41	p	p	NOUN
ejpam-750	311	42	5−	5−	NUM
ejpam-750	311	43	4	4	NUM
ejpam-750	311	44	p	p	NOUN
ejpam-750	311	45	29	29	NUM
ejpam-750	311	46	+	+	NUM
ejpam-750	311	47	13	13	NUM
ejpam-750	311	48	p	p	NOUN
ejpam-750	311	49	5	5	NUM
ejpam-750	311	50	2	2	NUM
ejpam-750	311	51	+	+	CCONJ
ejpam-750	311	52	è	è	PROPN
ejpam-750	311	53	15	15	NUM
ejpam-750	311	54	+	+	SYM
ejpam-750	311	55	7	7	NUM
ejpam-750	311	56	p	p	NOUN
ejpam-750	311	57	5−	5−	NUM
ejpam-750	311	58	4	4	NUM
ejpam-750	311	59	p	p	NOUN
ejpam-750	311	60	29	29	NUM
ejpam-750	311	61	+	+	NUM
ejpam-750	311	62	13	13	NUM
ejpam-750	311	63	p	p	NOUN
ejpam-750	311	64	5	5	NUM
ejpam-750	311	65	2	2	NUM
ejpam-750	311	66	.	.	PUNCT
ejpam-750	312	1	(	(	PUNCT
ejpam-750	312	2	64	64	NUM
ejpam-750	312	3	)	)	PUNCT
ejpam-750	312	4	proof	proof	NOUN
ejpam-750	312	5	.	.	PUNCT
ejpam-750	313	1	[	[	X
ejpam-750	313	2	proof	proof	NOUN
ejpam-750	313	3	of	of	ADP
ejpam-750	313	4	(	(	PUNCT
ejpam-750	313	5	61	61	NUM
ejpam-750	313	6	)	)	PUNCT
ejpam-750	313	7	and	and	CCONJ
ejpam-750	313	8	(	(	PUNCT
ejpam-750	313	9	62	62	NUM
ejpam-750	313	10	)	)	PUNCT
ejpam-750	313	11	]	]	PUNCT
ejpam-750	313	12	putting	put	VERB
ejpam-750	313	13	n=	n=	ADJ
ejpam-750	313	14	1	1	NUM
ejpam-750	313	15	in	in	ADP
ejpam-750	313	16	(	(	PUNCT
ejpam-750	313	17	60	60	NUM
ejpam-750	313	18	)	)	PUNCT
ejpam-750	313	19	,	,	PUNCT
ejpam-750	313	20	we	we	PRON
ejpam-750	313	21	find	find	VERB
ejpam-750	313	22	that	that	SCONJ
ejpam-750	313	23	(	(	PUNCT
ejpam-750	313	24	h4−	h4−	X
ejpam-750	313	25	456h3	456h3	NUM
ejpam-750	313	26	+	+	NOUN
ejpam-750	313	27	320	320	NUM
ejpam-750	313	28	p	p	NOUN
ejpam-750	313	29	2h3	2h3	NUM
ejpam-750	313	30	−	−	NUM
ejpam-750	313	31	674h2	674h2	NUM
ejpam-750	313	32	+	+	CCONJ
ejpam-750	313	33	480	480	NUM
ejpam-750	313	34	p	p	NOUN
ejpam-750	313	35	2h2−	2h2−	NUM
ejpam-750	313	36	456h+	456h+	NUM
ejpam-750	313	37	320	320	NUM
ejpam-750	313	38	p	p	NOUN
ejpam-750	313	39	2h+	2h+	NUM
ejpam-750	313	40	1)(h+	1)(h+	PROPN
ejpam-750	313	41	1)2	1)2	NUM
ejpam-750	313	42	=	=	SYM
ejpam-750	313	43	0	0	NUM
ejpam-750	313	44	,	,	PUNCT
ejpam-750	313	45	(	(	PUNCT
ejpam-750	313	46	65	65	NUM
ejpam-750	313	47	)	)	PUNCT
ejpam-750	313	48	where	where	SCONJ
ejpam-750	313	49	h	h	NOUN
ejpam-750	313	50	:	:	PUNCT
ejpam-750	313	51	=	=	PUNCT
ejpam-750	313	52	h4,25	h4,25	PROPN
ejpam-750	313	53	.	.	PUNCT
ejpam-750	314	1	since	since	SCONJ
ejpam-750	314	2	h+	h+	PROPN
ejpam-750	314	3	1	1	NUM
ejpam-750	314	4	6=	6=	NUM
ejpam-750	314	5	0	0	NUM
ejpam-750	314	6	,	,	PUNCT
ejpam-750	314	7	we	we	PRON
ejpam-750	314	8	find	find	VERB
ejpam-750	314	9	that	that	SCONJ
ejpam-750	314	10	h4	h4	NOUN
ejpam-750	314	11	−	−	PROPN
ejpam-750	314	12	456h3	456h3	NUM
ejpam-750	314	13	+	+	SYM
ejpam-750	314	14	320	320	NUM
ejpam-750	314	15	p	p	NOUN
ejpam-750	314	16	2h3	2h3	NUM
ejpam-750	314	17	−	−	NUM
ejpam-750	314	18	674h2	674h2	NUM
ejpam-750	314	19	+	+	CCONJ
ejpam-750	314	20	480	480	NUM
ejpam-750	314	21	p	p	NOUN
ejpam-750	314	22	2h2	2h2	NUM
ejpam-750	314	23	−	−	PROPN
ejpam-750	314	24	456h+	456h+	NUM
ejpam-750	314	25	320	320	NUM
ejpam-750	314	26	p	p	NOUN
ejpam-750	314	27	2h+	2h+	NUM
ejpam-750	314	28	1=	1=	X
ejpam-750	314	29	0	0	NUM
ejpam-750	314	30	.	.	PUNCT
ejpam-750	315	1	(	(	PUNCT
ejpam-750	315	2	66	66	NUM
ejpam-750	315	3	)	)	PUNCT
ejpam-750	315	4	the	the	DET
ejpam-750	315	5	above	above	ADJ
ejpam-750	315	6	equation	equation	NOUN
ejpam-750	315	7	reduces	reduce	VERB
ejpam-750	315	8	to	to	ADP
ejpam-750	315	9	x2−	x2−	PROPN
ejpam-750	315	10	2−	2−	NUM
ejpam-750	315	11	�	�	PROPN
ejpam-750	315	12	456−	456−	NUM
ejpam-750	315	13	320	320	NUM
ejpam-750	315	14	p	p	SYM
ejpam-750	315	15	2	2	NUM
ejpam-750	315	16	�	�	NOUN
ejpam-750	315	17	x	x	PUNCT
ejpam-750	315	18	−	−	ADP
ejpam-750	315	19	674	674	NUM
ejpam-750	316	1	+	+	NUM
ejpam-750	316	2	480	480	NUM
ejpam-750	316	3	p	p	NOUN
ejpam-750	316	4	2=	2=	NUM
ejpam-750	316	5	0	0	NUM
ejpam-750	316	6	,	,	PUNCT
ejpam-750	316	7	(	(	PUNCT
ejpam-750	316	8	67	67	NUM
ejpam-750	316	9	)	)	PUNCT
ejpam-750	316	10	where	where	SCONJ
ejpam-750	316	11	x	x	SYM
ejpam-750	316	12	=	=	PUNCT
ejpam-750	316	13	h4,25	h4,25	PROPN
ejpam-750	316	14	+	+	CCONJ
ejpam-750	316	15	1	1	NUM
ejpam-750	316	16	h4,25	h4,25	NUM
ejpam-750	316	17	.	.	PUNCT
ejpam-750	317	1	on	on	ADP
ejpam-750	317	2	solving	solve	VERB
ejpam-750	317	3	the	the	DET
ejpam-750	317	4	above	above	ADJ
ejpam-750	317	5	equation	equation	NOUN
ejpam-750	317	6	and	and	CCONJ
ejpam-750	317	7	x	x	X
ejpam-750	317	8	>	>	X
ejpam-750	317	9	2	2	NUM
ejpam-750	317	10	,	,	PUNCT
ejpam-750	317	11	we	we	PRON
ejpam-750	317	12	deduce	deduce	VERB
ejpam-750	317	13	that	that	SCONJ
ejpam-750	317	14	h4,25	h4,25	VERB
ejpam-750	317	15	+	+	CCONJ
ejpam-750	317	16	1	1	NUM
ejpam-750	317	17	h4,25	h4,25	NOUN
ejpam-750	317	18	=	=	NUM
ejpam-750	317	19	228−	228−	NUM
ejpam-750	317	20	160	160	NUM
ejpam-750	317	21	p	p	NOUN
ejpam-750	317	22	2	2	NUM
ejpam-750	317	23	+	+	NUM
ejpam-750	317	24	102	102	NUM
ejpam-750	317	25	p	p	NOUN
ejpam-750	317	26	5−	5−	NUM
ejpam-750	317	27	72	72	NUM
ejpam-750	317	28	p	p	NOUN
ejpam-750	317	29	10	10	NUM
ejpam-750	317	30	.	.	PUNCT
ejpam-750	318	1	(	(	PUNCT
ejpam-750	318	2	68	68	NUM
ejpam-750	318	3	)	)	PUNCT
ejpam-750	318	4	solving	solve	VERB
ejpam-750	318	5	the	the	DET
ejpam-750	318	6	above	above	ADJ
ejpam-750	318	7	equation	equation	NOUN
ejpam-750	318	8	,	,	PUNCT
ejpam-750	318	9	we	we	PRON
ejpam-750	318	10	obtain	obtain	VERB
ejpam-750	318	11	(	(	PUNCT
ejpam-750	318	12	61	61	NUM
ejpam-750	318	13	)	)	PUNCT
ejpam-750	318	14	and	and	CCONJ
ejpam-750	318	15	(	(	PUNCT
ejpam-750	318	16	62	62	NUM
ejpam-750	318	17	)	)	PUNCT
ejpam-750	318	18	.	.	PUNCT
ejpam-750	319	1	proof	proof	NOUN
ejpam-750	319	2	.	.	PUNCT
ejpam-750	320	1	[	[	X
ejpam-750	320	2	proof	proof	NOUN
ejpam-750	320	3	of	of	ADP
ejpam-750	320	4	(	(	PUNCT
ejpam-750	320	5	63	63	NUM
ejpam-750	320	6	)	)	PUNCT
ejpam-750	320	7	and	and	CCONJ
ejpam-750	320	8	(	(	PUNCT
ejpam-750	320	9	64	64	NUM
ejpam-750	320	10	)	)	PUNCT
ejpam-750	320	11	]	]	PUNCT
ejpam-750	320	12	putting	put	VERB
ejpam-750	320	13	n=	n=	ADJ
ejpam-750	320	14	1/5	1/5	NUM
ejpam-750	320	15	in	in	ADP
ejpam-750	320	16	(	(	PUNCT
ejpam-750	320	17	60	60	NUM
ejpam-750	320	18	)	)	PUNCT
ejpam-750	320	19	,	,	PUNCT
ejpam-750	320	20	we	we	PRON
ejpam-750	320	21	find	find	VERB
ejpam-750	320	22	that	that	SCONJ
ejpam-750	320	23	(	(	PUNCT
ejpam-750	320	24	h4−	h4−	X
ejpam-750	320	25	6h3	6h3	NUM
ejpam-750	320	26	+	+	SYM
ejpam-750	320	27	2h3	2h3	NUM
ejpam-750	320	28	p	p	PRON
ejpam-750	320	29	2−	2−	NUM
ejpam-750	320	30	10h2	10h2	NUM
ejpam-750	320	31	+	+	SYM
ejpam-750	320	32	10h2	10h2	NUM
ejpam-750	320	33	p	p	NOUN
ejpam-750	320	34	2−	2−	NUM
ejpam-750	320	35	10h+	10h+	NUM
ejpam-750	320	36	6	6	NUM
ejpam-750	320	37	p	p	NOUN
ejpam-750	320	38	2h−	2h−	NUM
ejpam-750	320	39	3	3	NUM
ejpam-750	320	40	+	+	NUM
ejpam-750	320	41	2	2	NUM
ejpam-750	320	42	p	p	NOUN
ejpam-750	320	43	2	2	NUM
ejpam-750	320	44	)	)	PUNCT
ejpam-750	320	45	(	(	PUNCT
ejpam-750	320	46	h4	h4	PROPN
ejpam-750	320	47	+	+	CCONJ
ejpam-750	320	48	6h3	6h3	NUM
ejpam-750	320	49	+	+	SYM
ejpam-750	320	50	2h3	2h3	NUM
ejpam-750	320	51	p	p	PRON
ejpam-750	320	52	2−	2−	NUM
ejpam-750	320	53	10h2−	10h2−	NUM
ejpam-750	320	54	10h2	10h2	NUM
ejpam-750	320	55	p	p	NOUN
ejpam-750	320	56	2	2	NUM
ejpam-750	320	57	+	+	NUM
ejpam-750	320	58	10h+	10h+	NUM
ejpam-750	320	59	6	6	NUM
ejpam-750	320	60	p	p	NOUN
ejpam-750	320	61	2h−	2h−	NUM
ejpam-750	320	62	3−	3−	NUM
ejpam-750	320	63	2	2	NUM
ejpam-750	320	64	p	p	NOUN
ejpam-750	320	65	2	2	NUM
ejpam-750	320	66	)	)	PUNCT
ejpam-750	320	67	(	(	PUNCT
ejpam-750	320	68	−h−	−h−	NOUN
ejpam-750	320	69	1	1	NUM
ejpam-750	320	70	+	+	SYM
ejpam-750	320	71	p	p	NOUN
ejpam-750	320	72	2)2(−h+	2)2(−h+	NUM
ejpam-750	320	73	1	1	NUM
ejpam-750	320	74	+	+	NUM
ejpam-750	320	75	p	p	NOUN
ejpam-750	320	76	2)2	2)2	NUM
ejpam-750	320	77	=	=	SYM
ejpam-750	320	78	0	0	NUM
ejpam-750	320	79	,	,	PUNCT
ejpam-750	320	80	(	(	PUNCT
ejpam-750	320	81	69	69	NUM
ejpam-750	320	82	)	)	PUNCT
ejpam-750	320	83	where	where	SCONJ
ejpam-750	320	84	h	h	NOUN
ejpam-750	320	85	:	:	PUNCT
ejpam-750	321	1	=	=	SYM
ejpam-750	321	2	h4,5	h4,5	NOUN
ejpam-750	321	3	.	.	PUNCT
ejpam-750	322	1	the	the	DET
ejpam-750	322	2	first	first	ADJ
ejpam-750	322	3	factor	factor	NOUN
ejpam-750	322	4	of	of	ADP
ejpam-750	322	5	the	the	DET
ejpam-750	322	6	equation	equation	NOUN
ejpam-750	322	7	(	(	PUNCT
ejpam-750	322	8	69	69	NUM
ejpam-750	322	9	)	)	PUNCT
ejpam-750	322	10	vanishes	vanish	VERB
ejpam-750	322	11	for	for	ADP
ejpam-750	322	12	the	the	DET
ejpam-750	322	13	specific	specific	ADJ
ejpam-750	322	14	value	value	NOUN
ejpam-750	322	15	of	of	ADP
ejpam-750	322	16	q	q	NOUN
ejpam-750	322	17	=	=	PUNCT
ejpam-750	322	18	e−π	e−π	PROPN
ejpam-750	322	19	p	p	NOUN
ejpam-750	322	20	5/4	5/4	NUM
ejpam-750	322	21	but	but	CCONJ
ejpam-750	322	22	the	the	DET
ejpam-750	322	23	other	other	ADJ
ejpam-750	322	24	factors	factor	NOUN
ejpam-750	322	25	does	do	AUX
ejpam-750	322	26	not	not	PART
ejpam-750	322	27	vanish	vanish	VERB
ejpam-750	322	28	.	.	PUNCT
ejpam-750	323	1	hence	hence	ADV
ejpam-750	323	2	,	,	PUNCT
ejpam-750	323	3	h4	h4	PROPN
ejpam-750	323	4	−	−	PROPN
ejpam-750	323	5	6h3	6h3	NUM
ejpam-750	323	6	+	+	SYM
ejpam-750	323	7	2h3	2h3	NUM
ejpam-750	324	1	p	p	PRON
ejpam-750	324	2	2−	2−	NUM
ejpam-750	324	3	10h2	10h2	NUM
ejpam-750	324	4	+	+	SYM
ejpam-750	324	5	10h2	10h2	NUM
ejpam-750	324	6	p	p	NOUN
ejpam-750	324	7	2−	2−	NUM
ejpam-750	324	8	10h+	10h+	NUM
ejpam-750	324	9	6	6	NUM
ejpam-750	324	10	p	p	NOUN
ejpam-750	324	11	2h−	2h−	NUM
ejpam-750	324	12	3	3	NUM
ejpam-750	324	13	+	+	NUM
ejpam-750	324	14	2	2	NUM
ejpam-750	324	15	p	p	NOUN
ejpam-750	324	16	2=	2=	NUM
ejpam-750	324	17	0	0	NUM
ejpam-750	324	18	.	.	PUNCT
ejpam-750	325	1	(	(	PUNCT
ejpam-750	325	2	70	70	NUM
ejpam-750	325	3	)	)	PUNCT
ejpam-750	325	4	m.	m.	NOUN
ejpam-750	325	5	naika	naika	PROPN
ejpam-750	325	6	,	,	PUNCT
ejpam-750	325	7	k.	k.	PROPN
ejpam-750	325	8	bairy	bairy	PROPN
ejpam-750	325	9	,	,	PUNCT
ejpam-750	325	10	m.	m.	NOUN
ejpam-750	325	11	manjunatha	manjunatha	PROPN
ejpam-750	325	12	/	/	SYM
ejpam-750	325	13	eur	eur	PROPN
ejpam-750	325	14	.	.	PUNCT
ejpam-750	326	1	j.	j.	PROPN
ejpam-750	326	2	pure	pure	PROPN
ejpam-750	326	3	appl	appl	PROPN
ejpam-750	326	4	.	.	PROPN
ejpam-750	326	5	math	math	PROPN
ejpam-750	326	6	,	,	PUNCT
ejpam-750	326	7	3	3	NUM
ejpam-750	326	8	(	(	PUNCT
ejpam-750	326	9	2010	2010	NUM
ejpam-750	326	10	)	)	PUNCT
ejpam-750	326	11	,	,	PUNCT
ejpam-750	326	12	924	924	NUM
ejpam-750	326	13	-	-	SYM
ejpam-750	326	14	947	947	NUM
ejpam-750	326	15	939	939	NUM
ejpam-750	326	16	the	the	DET
ejpam-750	326	17	above	above	ADJ
ejpam-750	326	18	equation	equation	NOUN
ejpam-750	326	19	reduces	reduce	VERB
ejpam-750	326	20	to	to	ADP
ejpam-750	326	21	x4−	x4−	PROPN
ejpam-750	326	22	12x3	12x3	NUM
ejpam-750	326	23	+	+	SYM
ejpam-750	326	24	12x2−	12x2−	NUM
ejpam-750	326	25	16x	16x	NOUN
ejpam-750	326	26	−	−	PROPN
ejpam-750	327	1	16=	16=	NUM
ejpam-750	327	2	0	0	NUM
ejpam-750	327	3	,	,	PUNCT
ejpam-750	327	4	(	(	PUNCT
ejpam-750	327	5	71	71	NUM
ejpam-750	327	6	)	)	PUNCT
ejpam-750	327	7	where	where	SCONJ
ejpam-750	327	8	x	x	X
ejpam-750	327	9	=	=	SYM
ejpam-750	328	1	h4,5	h4,5	NOUN
ejpam-750	328	2	−	−	PROPN
ejpam-750	328	3	1	1	NUM
ejpam-750	328	4	h4,5	h4,5	NOUN
ejpam-750	328	5	.	.	PUNCT
ejpam-750	329	1	the	the	DET
ejpam-750	329	2	above	above	ADJ
ejpam-750	329	3	equation	equation	NOUN
ejpam-750	329	4	(	(	PUNCT
ejpam-750	329	5	71	71	NUM
ejpam-750	329	6	)	)	PUNCT
ejpam-750	329	7	can	can	AUX
ejpam-750	329	8	be	be	AUX
ejpam-750	329	9	written	write	VERB
ejpam-750	329	10	as	as	ADP
ejpam-750	329	11	x2−	x2−	PROPN
ejpam-750	329	12	(	(	PUNCT
ejpam-750	329	13	6	6	NUM
ejpam-750	329	14	+	+	SYM
ejpam-750	329	15	2	2	NUM
ejpam-750	329	16	p	p	NOUN
ejpam-750	329	17	5)x	5)x	NUM
ejpam-750	329	18	−	−	NOUN
ejpam-750	329	19	2−	2−	NUM
ejpam-750	329	20	2	2	NUM
ejpam-750	329	21	p	p	PROPN
ejpam-750	329	22	5=	5=	PROPN
ejpam-750	329	23	0	0	NUM
ejpam-750	329	24	.	.	PUNCT
ejpam-750	330	1	(	(	PUNCT
ejpam-750	330	2	72	72	X
ejpam-750	330	3	)	)	PUNCT
ejpam-750	330	4	solving	solve	VERB
ejpam-750	330	5	the	the	DET
ejpam-750	330	6	above	above	ADJ
ejpam-750	330	7	equation	equation	NOUN
ejpam-750	330	8	and	and	CCONJ
ejpam-750	330	9	x	x	NOUN
ejpam-750	330	10	<	<	X
ejpam-750	330	11	1	1	NUM
ejpam-750	330	12	,	,	PUNCT
ejpam-750	330	13	we	we	PRON
ejpam-750	330	14	find	find	VERB
ejpam-750	330	15	that	that	SCONJ
ejpam-750	330	16	x	x	X
ejpam-750	330	17	=	=	PUNCT
ejpam-750	331	1	3	3	NUM
ejpam-750	331	2	+	+	SYM
ejpam-750	331	3	p	p	NOUN
ejpam-750	331	4	5−	5−	NUM
ejpam-750	331	5	2	2	NUM
ejpam-750	331	6	p	p	NOUN
ejpam-750	331	7	4	4	NUM
ejpam-750	331	8	+	+	SYM
ejpam-750	331	9	2	2	NUM
ejpam-750	331	10	p	p	NOUN
ejpam-750	331	11	5	5	NUM
ejpam-750	331	12	.	.	PUNCT
ejpam-750	332	1	(	(	PUNCT
ejpam-750	332	2	73	73	NUM
ejpam-750	332	3	)	)	PUNCT
ejpam-750	332	4	again	again	ADV
ejpam-750	332	5	solving	solve	VERB
ejpam-750	332	6	the	the	DET
ejpam-750	332	7	above	above	ADJ
ejpam-750	332	8	equation	equation	NOUN
ejpam-750	332	9	,	,	PUNCT
ejpam-750	332	10	we	we	PRON
ejpam-750	332	11	obtain	obtain	VERB
ejpam-750	332	12	(	(	PUNCT
ejpam-750	332	13	63	63	NUM
ejpam-750	332	14	)	)	PUNCT
ejpam-750	332	15	and	and	CCONJ
ejpam-750	332	16	(	(	PUNCT
ejpam-750	332	17	64	64	NUM
ejpam-750	332	18	)	)	PUNCT
ejpam-750	332	19	.	.	PUNCT
ejpam-750	333	1	theorem	theorem	VERB
ejpam-750	333	2	13	13	NUM
ejpam-750	333	3	.	.	PUNCT
ejpam-750	334	1	for	for	ADP
ejpam-750	334	2	any	any	DET
ejpam-750	334	3	positive	positive	ADJ
ejpam-750	334	4	real	real	ADJ
ejpam-750	334	5	number	number	NOUN
ejpam-750	334	6	n	n	CCONJ
ejpam-750	334	7	,	,	PUNCT
ejpam-750	334	8	we	we	PRON
ejpam-750	334	9	have	have	VERB
ejpam-750	334	10	n4	n4	PROPN
ejpam-750	334	11	+	+	PROPN
ejpam-750	334	12	1	1	NUM
ejpam-750	334	13	n4	n4	PROPN
ejpam-750	334	14	−	−	PROPN
ejpam-750	334	15	280	280	NUM
ejpam-750	334	16	�	�	PROPN
ejpam-750	334	17	n3	n3	NOUN
ejpam-750	334	18	+	+	CCONJ
ejpam-750	334	19	1	1	NUM
ejpam-750	334	20	n3	n3	PROPN
ejpam-750	334	21	�	�	PROPN
ejpam-750	334	22	−	−	PROPN
ejpam-750	334	23	28	28	NUM
ejpam-750	334	24	�	�	PROPN
ejpam-750	334	25	n2	n2	NOUN
ejpam-750	334	26	+	+	CCONJ
ejpam-750	334	27	1	1	NUM
ejpam-750	334	28	n2	n2	PROPN
ejpam-750	334	29	�	�	PROPN
ejpam-750	334	30	�	�	PROPN
ejpam-750	334	31	349	349	NUM
ejpam-750	334	32	+	+	SYM
ejpam-750	334	33	156	156	NUM
ejpam-750	334	34	�	�	NOUN
ejpam-750	334	35	m	m	VERB
ejpam-750	334	36	+	+	NOUN
ejpam-750	334	37	1	1	NUM
ejpam-750	334	38	m	m	NOUN
ejpam-750	334	39	�	�	NOUN
ejpam-750	334	40	�	�	PROPN
ejpam-750	334	41	−	−	PROPN
ejpam-750	334	42	56	56	NUM
ejpam-750	334	43	�	�	PROPN
ejpam-750	334	44	n	n	CCONJ
ejpam-750	334	45	+	+	CCONJ
ejpam-750	334	46	1	1	NUM
ejpam-750	334	47	n	n	PRON
ejpam-750	334	48	�	�	PROPN
ejpam-750	334	49	�	�	PROPN
ejpam-750	334	50	1079	1079	NUM
ejpam-750	334	51	+	+	NUM
ejpam-750	334	52	620	620	NUM
ejpam-750	334	53	�	�	NOUN
ejpam-750	334	54	m	m	VERB
ejpam-750	334	55	+	+	NOUN
ejpam-750	334	56	1	1	NUM
ejpam-750	334	57	m	m	PROPN
ejpam-750	334	58	�	�	NOUN
ejpam-750	334	59	+	+	CCONJ
ejpam-750	334	60	96	96	NUM
ejpam-750	334	61	�	�	PROPN
ejpam-750	334	62	m2	m2	PROPN
ejpam-750	334	63	+	+	CCONJ
ejpam-750	334	64	1	1	NUM
ejpam-750	334	65	m2	m2	PROPN
ejpam-750	334	66	�	�	PROPN
ejpam-750	334	67	�	�	PROPN
ejpam-750	334	68	−	−	PROPN
ejpam-750	334	69	106330	106330	NUM
ejpam-750	334	70	+	+	SYM
ejpam-750	334	71	112	112	NUM
ejpam-750	334	72	�	�	PROPN
ejpam-750	334	73	p	p	NOUN
ejpam-750	334	74	n	n	PROPN
ejpam-750	334	75	+	+	CCONJ
ejpam-750	334	76	1p	1p	NUM
ejpam-750	334	77	n	n	DET
ejpam-750	334	78	�	�	PROPN
ejpam-750	334	79			NOUN
ejpam-750	334	80	515	515	NOUN
ejpam-750	334	81	p	p	X
ejpam-750	334	82	2	2	NUM
ejpam-750	334	83	�	�	NOUN
ejpam-750	334	84	p	p	NOUN
ejpam-750	334	85	m	m	PROPN
ejpam-750	334	86	+	+	X
ejpam-750	334	87	1p	1p	NUM
ejpam-750	334	88	m	m	PROPN
ejpam-750	334	89	�	�	NOUN
ejpam-750	334	90	+	+	CCONJ
ejpam-750	334	91	180	180	NUM
ejpam-750	334	92	p	p	SYM
ejpam-750	334	93	2	2	NUM
ejpam-750	334	94			NOUN
ejpam-750	334	95			NOUN
ejpam-750	334	96	p	p	PROPN
ejpam-750	334	97	m3	m3	PROPN
ejpam-750	334	98	+	+	CCONJ
ejpam-750	334	99	1	1	NUM
ejpam-750	334	100	p	p	NOUN
ejpam-750	334	101	m3	m3	PROPN
ejpam-750	334	102			PROPN
ejpam-750	334	103			PUNCT
ejpam-750	335	1	+16	+16	ADJ
ejpam-750	335	2	p	p	ADJ
ejpam-750	335	3	2	2	NUM
ejpam-750	335	4			NOUN
ejpam-750	335	5			NOUN
ejpam-750	335	6	p	p	NOUN
ejpam-750	335	7	m5	m5	NOUN
ejpam-750	335	8	+	+	CCONJ
ejpam-750	335	9	1	1	NUM
ejpam-750	335	10	p	p	NOUN
ejpam-750	335	11	m5	m5	PROPN
ejpam-750	335	12			NOUN
ejpam-750	335	13			PUNCT
ejpam-750	336	1			PROPN
ejpam-750	336	2	+	+	NUM
ejpam-750	336	3	56	56	NUM
ejpam-750	336	4			NOUN
ejpam-750	336	5			NOUN
ejpam-750	336	6	p	p	X
ejpam-750	336	7	n3	n3	NOUN
ejpam-750	336	8	+	+	CCONJ
ejpam-750	336	9	1	1	NUM
ejpam-750	336	10	p	p	NOUN
ejpam-750	336	11	n3	n3	NOUN
ejpam-750	336	12			PROPN
ejpam-750	336	13			PROPN
ejpam-750	336	14			NOUN
ejpam-750	337	1	80	80	PROPN
ejpam-750	337	2	p	p	ADJ
ejpam-750	337	3	2	2	NUM
ejpam-750	337	4			NOUN
ejpam-750	337	5			NOUN
ejpam-750	337	6	p	p	PROPN
ejpam-750	337	7	m3	m3	PROPN
ejpam-750	337	8	+	+	CCONJ
ejpam-750	337	9	1	1	NUM
ejpam-750	337	10	p	p	NOUN
ejpam-750	337	11	m3	m3	PROPN
ejpam-750	337	12			PROPN
ejpam-750	337	13			PUNCT
ejpam-750	338	1	+313	+313	PUNCT
ejpam-750	338	2	p	p	NOUN
ejpam-750	338	3	2	2	NUM
ejpam-750	338	4	�	�	PROPN
ejpam-750	338	5	p	p	NOUN
ejpam-750	338	6	m	m	PROPN
ejpam-750	338	7	+	+	X
ejpam-750	338	8	1p	1p	NUM
ejpam-750	338	9	m	m	NUM
ejpam-750	338	10	�	�	NOUN
ejpam-750	338	11	�	�	PROPN
ejpam-750	338	12	+	+	CCONJ
ejpam-750	338	13	1176	1176	NUM
ejpam-750	338	14	p	p	SYM
ejpam-750	338	15	2	2	NUM
ejpam-750	338	16			NOUN
ejpam-750	338	17			NOUN
ejpam-750	338	18	p	p	PROPN
ejpam-750	338	19	n5	n5	PROPN
ejpam-750	338	20	+	+	CCONJ
ejpam-750	338	21	1	1	NUM
ejpam-750	338	22	p	p	NOUN
ejpam-750	338	23	n5	n5	NUM
ejpam-750	338	24			PROPN
ejpam-750	338	25			PROPN
ejpam-750	338	26	�	�	PROPN
ejpam-750	338	27	p	p	NOUN
ejpam-750	338	28	m	m	PROPN
ejpam-750	338	29	+	+	X
ejpam-750	338	30	1p	1p	NUM
ejpam-750	338	31	m	m	PROPN
ejpam-750	338	32	�	�	NOUN
ejpam-750	338	33	=	=	SYM
ejpam-750	338	34	32	32	NUM
ejpam-750	338	35	�	�	PROPN
ejpam-750	338	36	16	16	NUM
ejpam-750	338	37	�	�	PROPN
ejpam-750	338	38	m3	m3	PROPN
ejpam-750	338	39	+	+	CCONJ
ejpam-750	338	40	1	1	NUM
ejpam-750	338	41	m3	m3	PROPN
ejpam-750	338	42	�	�	PROPN
ejpam-750	338	43	+	+	CCONJ
ejpam-750	338	44	406	406	NUM
ejpam-750	338	45	�	�	PROPN
ejpam-750	338	46	m2	m2	PROPN
ejpam-750	338	47	+	+	CCONJ
ejpam-750	338	48	16	16	NUM
ejpam-750	338	49	m2	m2	PROPN
ejpam-750	338	50	�	�	PROPN
ejpam-750	338	51	+	+	CCONJ
ejpam-750	338	52	2023	2023	NUM
ejpam-750	338	53	�	�	PROPN
ejpam-750	338	54	m	m	VERB
ejpam-750	338	55	+	+	NUM
ejpam-750	338	56	4	4	NUM
ejpam-750	338	57	m	m	NOUN
ejpam-750	338	58	�	�	NOUN
ejpam-750	338	59	�	�	PROPN
ejpam-750	338	60	,	,	PUNCT
ejpam-750	338	61	(	(	PUNCT
ejpam-750	338	62	74	74	NUM
ejpam-750	338	63	)	)	PUNCT
ejpam-750	338	64	where	where	SCONJ
ejpam-750	338	65	m	m	VERB
ejpam-750	338	66	=	=	VERB
ejpam-750	338	67	h4,nh4,49n	h4,nh4,49n	PROPN
ejpam-750	338	68	and	and	CCONJ
ejpam-750	338	69	n	n	NOUN
ejpam-750	338	70	=	=	SYM
ejpam-750	338	71	h4,n	h4,n	PROPN
ejpam-750	338	72	h4,49n	h4,49n	NOUN
ejpam-750	338	73	.	.	PUNCT
ejpam-750	339	1	proof	proof	NOUN
ejpam-750	339	2	.	.	PUNCT
ejpam-750	340	1	employing	employ	VERB
ejpam-750	340	2	(	(	PUNCT
ejpam-750	340	3	5	5	NUM
ejpam-750	340	4	)	)	PUNCT
ejpam-750	340	5	in	in	ADP
ejpam-750	340	6	(	(	PUNCT
ejpam-750	340	7	33	33	NUM
ejpam-750	340	8	)	)	PUNCT
ejpam-750	340	9	,	,	PUNCT
ejpam-750	340	10	we	we	PRON
ejpam-750	340	11	obtain	obtain	VERB
ejpam-750	340	12	(	(	PUNCT
ejpam-750	340	13	74	74	NUM
ejpam-750	340	14	)	)	PUNCT
ejpam-750	340	15	.	.	PUNCT
ejpam-750	341	1	corollary	corollary	ADJ
ejpam-750	341	2	4	4	NUM
ejpam-750	341	3	.	.	PUNCT
ejpam-750	342	1	we	we	PRON
ejpam-750	342	2	have	have	VERB
ejpam-750	342	3	h4,7	h4,7	NOUN
ejpam-750	342	4	=	=	SYM
ejpam-750	342	5	�	�	PROPN
ejpam-750	342	6	3	3	NUM
ejpam-750	342	7	+	+	PROPN
ejpam-750	342	8	p	p	NOUN
ejpam-750	342	9	7p	7p	NUM
ejpam-750	342	10	2	2	NUM
ejpam-750	342	11	�	�	PROPN
ejpam-750	342	12	�	�	PROPN
ejpam-750	342	13	2	2	NUM
ejpam-750	342	14	p	p	PROPN
ejpam-750	342	15	2−p7	2−p7	NUM
ejpam-750	342	16	�	�	PROPN
ejpam-750	342	17	,	,	PUNCT
ejpam-750	342	18	(	(	PUNCT
ejpam-750	342	19	75	75	NUM
ejpam-750	342	20	)	)	PUNCT
ejpam-750	342	21	h4,1/7	h4,1/7	X
ejpam-750	342	22	=	=	PUNCT
ejpam-750	342	23	�	�	PROPN
ejpam-750	342	24	3−p7p	3−p7p	NUM
ejpam-750	342	25	2	2	NUM
ejpam-750	342	26	�	�	PROPN
ejpam-750	342	27	�	�	PROPN
ejpam-750	342	28	2	2	NUM
ejpam-750	342	29	p	p	NOUN
ejpam-750	342	30	2	2	NUM
ejpam-750	342	31	+	+	NOUN
ejpam-750	342	32	p	p	NOUN
ejpam-750	342	33	7	7	NUM
ejpam-750	342	34	�	�	PROPN
ejpam-750	342	35	.	.	PUNCT
ejpam-750	343	1	(	(	PUNCT
ejpam-750	343	2	76	76	NUM
ejpam-750	343	3	)	)	PUNCT
ejpam-750	343	4	m.	m.	NOUN
ejpam-750	343	5	naika	naika	PROPN
ejpam-750	343	6	,	,	PUNCT
ejpam-750	343	7	k.	k.	PROPN
ejpam-750	343	8	bairy	bairy	PROPN
ejpam-750	343	9	,	,	PUNCT
ejpam-750	343	10	m.	m.	NOUN
ejpam-750	343	11	manjunatha	manjunatha	PROPN
ejpam-750	343	12	/	/	SYM
ejpam-750	343	13	eur	eur	PROPN
ejpam-750	343	14	.	.	PUNCT
ejpam-750	344	1	j.	j.	PROPN
ejpam-750	344	2	pure	pure	PROPN
ejpam-750	344	3	appl	appl	PROPN
ejpam-750	344	4	.	.	PROPN
ejpam-750	344	5	math	math	PROPN
ejpam-750	344	6	,	,	PUNCT
ejpam-750	344	7	3	3	NUM
ejpam-750	344	8	(	(	PUNCT
ejpam-750	344	9	2010	2010	NUM
ejpam-750	344	10	)	)	PUNCT
ejpam-750	344	11	,	,	PUNCT
ejpam-750	344	12	924	924	NUM
ejpam-750	344	13	-	-	SYM
ejpam-750	344	14	947	947	NUM
ejpam-750	344	15	940	940	NUM
ejpam-750	344	16	proof	proof	NOUN
ejpam-750	344	17	.	.	PUNCT
ejpam-750	345	1	[	[	X
ejpam-750	345	2	proof	proof	NOUN
ejpam-750	345	3	of	of	ADP
ejpam-750	345	4	(	(	PUNCT
ejpam-750	345	5	75	75	NUM
ejpam-750	345	6	)	)	PUNCT
ejpam-750	345	7	and	and	CCONJ
ejpam-750	345	8	(	(	PUNCT
ejpam-750	345	9	76	76	NUM
ejpam-750	345	10	)	)	PUNCT
ejpam-750	345	11	]	]	PUNCT
ejpam-750	345	12	putting	put	VERB
ejpam-750	345	13	n=	n=	ADV
ejpam-750	345	14	1/7	1/7	NUM
ejpam-750	345	15	in	in	ADP
ejpam-750	345	16	(	(	PUNCT
ejpam-750	345	17	74	74	NUM
ejpam-750	345	18	)	)	PUNCT
ejpam-750	345	19	,	,	PUNCT
ejpam-750	345	20	we	we	PRON
ejpam-750	345	21	find	find	VERB
ejpam-750	345	22	that	that	SCONJ
ejpam-750	345	23	(	(	PUNCT
ejpam-750	345	24	h2	h2	NOUN
ejpam-750	345	25	−	−	PROPN
ejpam-750	345	26	12h+	12h+	NUM
ejpam-750	345	27	7	7	NUM
ejpam-750	345	28	p	p	NOUN
ejpam-750	345	29	2h+	2h+	NUM
ejpam-750	345	30	1)(h2	1)(h2	NUM
ejpam-750	345	31	+	+	X
ejpam-750	345	32	12h+	12h+	NUM
ejpam-750	345	33	7	7	NUM
ejpam-750	345	34	p	p	NOUN
ejpam-750	345	35	2h+	2h+	NUM
ejpam-750	345	36	1)(−h2	1)(−h2	NUM
ejpam-750	345	37	+	+	NUM
ejpam-750	345	38	p	p	PROPN
ejpam-750	345	39	2h−	2h−	PROPN
ejpam-750	345	40	1)2	1)2	NUM
ejpam-750	345	41	(	(	PUNCT
ejpam-750	345	42	−h2	−h2	VERB
ejpam-750	345	43	+	+	PROPN
ejpam-750	345	44	2h+	2h+	NUM
ejpam-750	345	45	3	3	NUM
ejpam-750	345	46	p	p	NOUN
ejpam-750	345	47	2h−	2h−	NUM
ejpam-750	345	48	1)2(−h2	1)2(−h2	NUM
ejpam-750	345	49	−	−	NOUN
ejpam-750	345	50	2h+	2h+	NUM
ejpam-750	345	51	3	3	NUM
ejpam-750	345	52	p	p	NOUN
ejpam-750	345	53	2h−	2h−	PROPN
ejpam-750	345	54	1)2	1)2	NUM
ejpam-750	345	55	=	=	SYM
ejpam-750	345	56	0	0	NUM
ejpam-750	345	57	,	,	PUNCT
ejpam-750	345	58	(	(	PUNCT
ejpam-750	345	59	77	77	NUM
ejpam-750	345	60	)	)	PUNCT
ejpam-750	345	61	where	where	SCONJ
ejpam-750	345	62	h	h	NOUN
ejpam-750	345	63	:	:	PUNCT
ejpam-750	345	64	=	=	SYM
ejpam-750	346	1	h4,7	h4,7	NOUN
ejpam-750	346	2	.	.	PUNCT
ejpam-750	347	1	we	we	PRON
ejpam-750	347	2	observe	observe	VERB
ejpam-750	347	3	that	that	SCONJ
ejpam-750	347	4	the	the	DET
ejpam-750	347	5	first	first	ADJ
ejpam-750	347	6	factor	factor	NOUN
ejpam-750	347	7	of	of	ADP
ejpam-750	347	8	the	the	DET
ejpam-750	347	9	equation	equation	NOUN
ejpam-750	347	10	(	(	PUNCT
ejpam-750	347	11	77	77	NUM
ejpam-750	347	12	)	)	PUNCT
ejpam-750	347	13	vanishes	vanish	VERB
ejpam-750	347	14	for	for	ADP
ejpam-750	347	15	specific	specific	ADJ
ejpam-750	347	16	value	value	NOUN
ejpam-750	347	17	of	of	ADP
ejpam-750	347	18	q	q	NOUN
ejpam-750	347	19	=	=	PUNCT
ejpam-750	347	20	e−π	e−π	PROPN
ejpam-750	347	21	p	p	NOUN
ejpam-750	347	22	7/4	7/4	PROPN
ejpam-750	347	23	,	,	PUNCT
ejpam-750	347	24	but	but	CCONJ
ejpam-750	347	25	the	the	DET
ejpam-750	347	26	other	other	ADJ
ejpam-750	347	27	factors	factor	NOUN
ejpam-750	347	28	does	do	AUX
ejpam-750	347	29	not	not	PART
ejpam-750	347	30	vanish	vanish	VERB
ejpam-750	347	31	.	.	PUNCT
ejpam-750	348	1	hence	hence	ADV
ejpam-750	348	2	,	,	PUNCT
ejpam-750	348	3	we	we	PRON
ejpam-750	348	4	obtain	obtain	VERB
ejpam-750	348	5	(	(	PUNCT
ejpam-750	348	6	75	75	NUM
ejpam-750	348	7	)	)	PUNCT
ejpam-750	348	8	and	and	CCONJ
ejpam-750	348	9	(	(	PUNCT
ejpam-750	348	10	76	76	NUM
ejpam-750	348	11	)	)	PUNCT
ejpam-750	348	12	.	.	PUNCT
ejpam-750	349	1	theorem	theorem	VERB
ejpam-750	349	2	14	14	NUM
ejpam-750	349	3	.	.	PUNCT
ejpam-750	350	1	for	for	ADP
ejpam-750	350	2	any	any	DET
ejpam-750	350	3	positive	positive	ADJ
ejpam-750	350	4	real	real	ADJ
ejpam-750	350	5	number	number	NOUN
ejpam-750	350	6	n	n	CCONJ
ejpam-750	350	7	,	,	PUNCT
ejpam-750	350	8	we	we	PRON
ejpam-750	350	9	have	have	VERB
ejpam-750	350	10	�	�	PROPN
ejpam-750	350	11	16m4	16m4	NUM
ejpam-750	350	12	+	+	CCONJ
ejpam-750	350	13	1	1	NUM
ejpam-750	350	14	m4	m4	PROPN
ejpam-750	350	15	�	�	PROPN
ejpam-750	350	16	�	�	PROPN
ejpam-750	351	1	−n4	−n4	PROPN
ejpam-750	351	2	+	+	PROPN
ejpam-750	351	3	16n3−	16n3−	NUM
ejpam-750	351	4	56n2	56n2	NUM
ejpam-750	351	5	+	+	SYM
ejpam-750	351	6	112	112	NUM
ejpam-750	351	7	p	p	NOUN
ejpam-750	351	8	2n	2n	NUM
ejpam-750	351	9	−	−	ADP
ejpam-750	351	10	280	280	NUM
ejpam-750	351	11	+	+	NUM
ejpam-750	351	12	224	224	NUM
ejpam-750	351	13	p	p	NOUN
ejpam-750	351	14	2	2	NUM
ejpam-750	351	15	n	n	NUM
ejpam-750	351	16	−	−	PROPN
ejpam-750	351	17	224	224	NUM
ejpam-750	351	18	n2	n2	NOUN
ejpam-750	351	19	+	+	CCONJ
ejpam-750	351	20	64	64	NUM
ejpam-750	351	21	p	p	NOUN
ejpam-750	351	22	2	2	NUM
ejpam-750	351	23	n3	n3	NOUN
ejpam-750	351	24	−	−	PROPN
ejpam-750	351	25	16	16	NUM
ejpam-750	351	26	n4	n4	PROPN
ejpam-750	351	27	�	�	PROPN
ejpam-750	352	1	+	+	CCONJ
ejpam-750	352	2	16	16	NUM
ejpam-750	352	3	p	p	SYM
ejpam-750	352	4	2	2	NUM
ejpam-750	352	5	�	�	PROPN
ejpam-750	352	6	m3	m3	PROPN
ejpam-750	352	7	+	+	CCONJ
ejpam-750	352	8	1	1	NUM
ejpam-750	352	9	8m3	8m3	NUM
ejpam-750	352	10	�	�	PROPN
ejpam-750	352	11	�	�	PROPN
ejpam-750	352	12	4n4	4n4	NUM
ejpam-750	352	13	+	+	NUM
ejpam-750	352	14	64	64	NUM
ejpam-750	352	15	n4	n4	PROPN
ejpam-750	352	16	−	−	PROPN
ejpam-750	352	17	512	512	NUM
ejpam-750	352	18	p	p	NOUN
ejpam-750	352	19	2	2	NUM
ejpam-750	352	20	n3	n3	ADJ
ejpam-750	352	21	+	+	CCONJ
ejpam-750	352	22	1792	1792	NUM
ejpam-750	352	23	n2	n2	NOUN
ejpam-750	352	24	−	−	PROPN
ejpam-750	352	25	1792	1792	NUM
ejpam-750	352	26	p	p	NOUN
ejpam-750	352	27	2	2	NUM
ejpam-750	352	28	n	n	PRON
ejpam-750	352	29	�	�	NOUN
ejpam-750	352	30	+	+	CCONJ
ejpam-750	352	31	8	8	NUM
ejpam-750	352	32	�	�	PROPN
ejpam-750	352	33	m2	m2	PROPN
ejpam-750	352	34	+	+	CCONJ
ejpam-750	352	35	1	1	NUM
ejpam-750	352	36	4m2	4m2	NUM
ejpam-750	352	37	�	�	PROPN
ejpam-750	352	38	�	�	PROPN
ejpam-750	352	39	−28n4−	−28n4−	NOUN
ejpam-750	352	40	323	323	NUM
ejpam-750	352	41	n4	n4	PROPN
ejpam-750	352	42	+	+	CCONJ
ejpam-750	353	1	1792	1792	NUM
ejpam-750	353	2	p	p	SYM
ejpam-750	353	3	2	2	NUM
ejpam-750	353	4	n3	n3	NOUN
ejpam-750	353	5	−	−	PROPN
ejpam-750	353	6	6272	6272	NUM
ejpam-750	353	7	n2	n2	NOUN
ejpam-750	353	8	+	+	CCONJ
ejpam-750	353	9	6272	6272	NUM
ejpam-750	353	10	p	p	NOUN
ejpam-750	353	11	2	2	NUM
ejpam-750	353	12	n	n	PRON
ejpam-750	353	13	�	�	PROPN
ejpam-750	353	14	+	+	CCONJ
ejpam-750	353	15	1984	1984	NUM
ejpam-750	353	16	p	p	NOUN
ejpam-750	353	17	2n3	2n3	NUM
ejpam-750	353	18	+	+	CCONJ
ejpam-750	353	19	32	32	NUM
ejpam-750	353	20	p	p	SYM
ejpam-750	353	21	2	2	NUM
ejpam-750	353	22	�	�	NOUN
ejpam-750	353	23	m	m	PROPN
ejpam-750	353	24	+	+	NOUN
ejpam-750	353	25	1	1	NUM
ejpam-750	353	26	2	2	NUM
ejpam-750	353	27	m	m	PROPN
ejpam-750	353	28	�	�	PROPN
ejpam-750	353	29	�	�	PROPN
ejpam-750	353	30	7n4	7n4	NUM
ejpam-750	353	31	+	+	CCONJ
ejpam-750	353	32	112	112	NUM
ejpam-750	353	33	n4	n4	PROPN
ejpam-750	353	34	−	−	PROPN
ejpam-750	353	35	448	448	NUM
ejpam-750	353	36	p	p	SYM
ejpam-750	353	37	2	2	NUM
ejpam-750	353	38	n3	n3	ADJ
ejpam-750	353	39	+	+	CCONJ
ejpam-750	353	40	1568	1568	NUM
ejpam-750	353	41	n2	n2	NOUN
ejpam-750	353	42	−	−	PROPN
ejpam-750	353	43	1568	1568	NUM
ejpam-750	353	44	p	p	NOUN
ejpam-750	353	45	2	2	NUM
ejpam-750	353	46	n	n	PRON
ejpam-750	353	47	�	�	NOUN
ejpam-750	353	48	−	−	PROPN
ejpam-750	353	49	280n4−	280n4−	NOUN
ejpam-750	353	50	4480	4480	NUM
ejpam-750	354	1	n4	n4	PROPN
ejpam-750	355	1	+	+	CCONJ
ejpam-750	355	2	512	512	NUM
ejpam-750	355	3	p	p	ADJ
ejpam-750	355	4	2m3	2m3	NUM
ejpam-750	355	5	�	�	NOUN
ejpam-750	355	6	35	35	NUM
ejpam-750	355	7	+	+	NUM
ejpam-750	355	8	7n2−	7n2−	NUM
ejpam-750	355	9	14	14	NUM
ejpam-750	355	10	p	p	NOUN
ejpam-750	355	11	2n	2n	NUM
ejpam-750	355	12	−p2n3	−p2n3	PROPN
ejpam-750	355	13	�	�	PROPN
ejpam-750	355	14	+	+	CCONJ
ejpam-750	355	15	17920	17920	NUM
ejpam-750	355	16	p	p	ADJ
ejpam-750	355	17	2	2	NUM
ejpam-750	355	18	n3	n3	NOUN
ejpam-750	355	19	−	−	PROPN
ejpam-750	355	20	14912n2−	14912n2−	NUM
ejpam-750	355	21	62700	62700	NUM
ejpam-750	355	22	n2	n2	NOUN
ejpam-750	355	23	+	+	CCONJ
ejpam-750	355	24	64	64	NUM
ejpam-750	355	25	p	p	NOUN
ejpam-750	355	26	2	2	NUM
ejpam-750	355	27	m3	m3	PROPN
ejpam-750	355	28	�	�	PROPN
ejpam-750	356	1	31−	31−	NUM
ejpam-750	356	2	6	6	NUM
ejpam-750	356	3	p	p	NOUN
ejpam-750	356	4	2n	2n	NUM
ejpam-750	356	5	−	−	ADP
ejpam-750	356	6	5n2	5n2	NUM
ejpam-750	356	7	+	+	SYM
ejpam-750	356	8	3	3	NUM
ejpam-750	356	9	p	p	NOUN
ejpam-750	356	10	2n3	2n3	NUM
ejpam-750	356	11	�	�	PROPN
ejpam-750	356	12	+	+	CCONJ
ejpam-750	356	13	1792m2	1792m2	NUM
ejpam-750	356	14	�	�	PROPN
ejpam-750	356	15	p	p	PROPN
ejpam-750	356	16	2n3−	2n3−	NUM
ejpam-750	356	17	7n2	7n2	NUM
ejpam-750	356	18	+	+	SYM
ejpam-750	356	19	14	14	NUM
ejpam-750	356	20	p	p	NOUN
ejpam-750	356	21	2n	2n	NUM
ejpam-750	356	22	−	−	NUM
ejpam-750	356	23	35	35	NUM
ejpam-750	356	24	�	�	NOUN
ejpam-750	356	25	+	+	CCONJ
ejpam-750	356	26	64	64	NUM
ejpam-750	356	27	m2	m2	PROPN
ejpam-750	356	28	�	�	PROPN
ejpam-750	356	29	−5	−5	ADP
ejpam-750	356	30	p	p	X
ejpam-750	356	31	2n3	2n3	NUM
ejpam-750	356	32	−	−	PROPN
ejpam-750	357	1	13n2	13n2	NUM
ejpam-750	358	1	+	+	NUM
ejpam-750	358	2	74	74	NUM
ejpam-750	358	3	p	p	NOUN
ejpam-750	358	4	2n	2n	NUM
ejpam-750	358	5	−	−	ADP
ejpam-750	358	6	233	233	NUM
ejpam-750	358	7	�	�	PROPN
ejpam-750	358	8	+	+	CCONJ
ejpam-750	358	9	30848	30848	NUM
ejpam-750	358	10	p	p	NOUN
ejpam-750	358	11	2n	2n	NUM
ejpam-750	359	1	+	+	CCONJ
ejpam-750	359	2	62700	62700	NUM
ejpam-750	359	3	p	p	NOUN
ejpam-750	359	4	2	2	NUM
ejpam-750	359	5	n	n	NOUN
ejpam-750	359	6	−	−	PROPN
ejpam-750	359	7	78144	78144	NUM
ejpam-750	359	8	+	+	SYM
ejpam-750	359	9	1792	1792	NUM
ejpam-750	359	10	p	p	ADJ
ejpam-750	359	11	2	2	NUM
ejpam-750	359	12	m	m	NOUN
ejpam-750	359	13	�	�	NOUN
ejpam-750	359	14	35	35	NUM
ejpam-750	359	15	+	+	SYM
ejpam-750	359	16	7n2−p2n3−	7n2−p2n3−	NUM
ejpam-750	359	17	14	14	NUM
ejpam-750	359	18	p	p	PROPN
ejpam-750	359	19	2n	2n	NUM
ejpam-750	359	20	�	�	PROPN
ejpam-750	359	21	+	+	CCONJ
ejpam-750	359	22	128	128	NUM
ejpam-750	359	23	p	p	NOUN
ejpam-750	359	24	2	2	NUM
ejpam-750	359	25	m	m	NOUN
ejpam-750	359	26	�	�	PROPN
ejpam-750	359	27	241−	241−	NUM
ejpam-750	359	28	90	90	NUM
ejpam-750	359	29	p	p	NOUN
ejpam-750	359	30	2n	2n	NUM
ejpam-750	359	31	+	+	CCONJ
ejpam-750	359	32	37n2−	37n2−	NUM
ejpam-750	359	33	3	3	NUM
ejpam-750	359	34	p	p	PROPN
ejpam-750	359	35	2n3	2n3	NUM
ejpam-750	359	36	�	�	X
ejpam-750	359	37	=	=	SYM
ejpam-750	359	38	0	0	PROPN
ejpam-750	359	39	,	,	PUNCT
ejpam-750	359	40	(	(	PUNCT
ejpam-750	359	41	78	78	NUM
ejpam-750	359	42	)	)	PUNCT
ejpam-750	359	43	where	where	SCONJ
ejpam-750	359	44	m	m	VERB
ejpam-750	359	45	=	=	SYM
ejpam-750	359	46	h4,n	h4,n	PROPN
ejpam-750	359	47	and	and	CCONJ
ejpam-750	359	48	n	n	CCONJ
ejpam-750	359	49	=	=	PUNCT
ejpam-750	359	50	h4,64n	h4,64n	NOUN
ejpam-750	359	51	.	.	PUNCT
ejpam-750	360	1	proof	proof	NOUN
ejpam-750	360	2	.	.	PUNCT
ejpam-750	361	1	employing	employ	VERB
ejpam-750	361	2	(	(	PUNCT
ejpam-750	361	3	5	5	NUM
ejpam-750	361	4	)	)	PUNCT
ejpam-750	361	5	in	in	ADP
ejpam-750	361	6	(	(	PUNCT
ejpam-750	361	7	37	37	NUM
ejpam-750	361	8	)	)	PUNCT
ejpam-750	361	9	,	,	PUNCT
ejpam-750	361	10	we	we	PRON
ejpam-750	361	11	obtain	obtain	VERB
ejpam-750	361	12	(	(	PUNCT
ejpam-750	361	13	78	78	NUM
ejpam-750	361	14	)	)	PUNCT
ejpam-750	361	15	.	.	PUNCT
ejpam-750	362	1	corollary	corollary	ADJ
ejpam-750	362	2	5	5	NUM
ejpam-750	362	3	.	.	PUNCT
ejpam-750	363	1	we	we	PRON
ejpam-750	363	2	have	have	VERB
ejpam-750	363	3	h4,8	h4,8	NOUN
ejpam-750	363	4	=	=	SYM
ejpam-750	363	5	p	p	PROPN
ejpam-750	363	6	2	2	NUM
ejpam-750	363	7	(	(	PUNCT
ejpam-750	363	8	p	p	NOUN
ejpam-750	363	9	2	2	NUM
ejpam-750	363	10	+	+	NUM
ejpam-750	363	11	1)3/2	1)3/2	PROPN
ejpam-750	363	12			NOUN
ejpam-750	363	13			NOUN
ejpam-750	363	14	p	p	X
ejpam-750	363	15	2	2	NUM
ejpam-750	363	16	+	+	CCONJ
ejpam-750	363	17	pp	pp	PROPN
ejpam-750	363	18	2	2	NUM
ejpam-750	363	19	+	+	NUM
ejpam-750	363	20	1−	1−	NUM
ejpam-750	363	21	q	q	NOUN
ejpam-750	363	22	4	4	NUM
ejpam-750	363	23	+	+	SYM
ejpam-750	363	24	p	p	NOUN
ejpam-750	363	25	2	2	NUM
ejpam-750	363	26	+	+	NUM
ejpam-750	363	27	10	10	NUM
ejpam-750	363	28	p	p	NOUN
ejpam-750	363	29	2	2	NUM
ejpam-750	363	30			PROPN
ejpam-750	363	31			PROPN
ejpam-750	363	32	(	(	PUNCT
ejpam-750	363	33	79	79	NUM
ejpam-750	363	34	)	)	PUNCT
ejpam-750	363	35	h4,1/8	h4,1/8	NOUN
ejpam-750	363	36	=	=	PUNCT
ejpam-750	363	37	(	(	PUNCT
ejpam-750	363	38	p	p	PROPN
ejpam-750	363	39	2−	2−	NUM
ejpam-750	363	40	1)3/2	1)3/2	NOUN
ejpam-750	363	41	p	p	NOUN
ejpam-750	363	42	2	2	NUM
ejpam-750	363	43	�	�	PROPN
ejpam-750	363	44	p	p	NOUN
ejpam-750	363	45	2	2	NUM
ejpam-750	363	46	+	+	CCONJ
ejpam-750	363	47	pp	pp	PROPN
ejpam-750	363	48	2	2	NUM
ejpam-750	363	49	+	+	NUM
ejpam-750	363	50	1−	1−	NUM
ejpam-750	363	51	æ	æ	SYM
ejpam-750	363	52	4	4	NUM
ejpam-750	363	53	+	+	SYM
ejpam-750	363	54	p	p	NOUN
ejpam-750	363	55	2	2	NUM
ejpam-750	363	56	+	+	NUM
ejpam-750	363	57	10	10	NUM
ejpam-750	363	58	p	p	NOUN
ejpam-750	363	59	2	2	NUM
ejpam-750	363	60	�	�	PROPN
ejpam-750	363	61	(	(	PUNCT
ejpam-750	363	62	80	80	NUM
ejpam-750	363	63	)	)	PUNCT
ejpam-750	363	64	m.	m.	NOUN
ejpam-750	363	65	naika	naika	PROPN
ejpam-750	363	66	,	,	PUNCT
ejpam-750	363	67	k.	k.	PROPN
ejpam-750	363	68	bairy	bairy	PROPN
ejpam-750	363	69	,	,	PUNCT
ejpam-750	363	70	m.	m.	NOUN
ejpam-750	363	71	manjunatha	manjunatha	PROPN
ejpam-750	363	72	/	/	SYM
ejpam-750	363	73	eur	eur	PROPN
ejpam-750	363	74	.	.	PUNCT
ejpam-750	364	1	j.	j.	PROPN
ejpam-750	364	2	pure	pure	PROPN
ejpam-750	364	3	appl	appl	PROPN
ejpam-750	364	4	.	.	PROPN
ejpam-750	364	5	math	math	PROPN
ejpam-750	364	6	,	,	PUNCT
ejpam-750	364	7	3	3	NUM
ejpam-750	364	8	(	(	PUNCT
ejpam-750	364	9	2010	2010	NUM
ejpam-750	364	10	)	)	PUNCT
ejpam-750	364	11	,	,	PUNCT
ejpam-750	364	12	924	924	NUM
ejpam-750	364	13	-	-	SYM
ejpam-750	364	14	947	947	NUM
ejpam-750	364	15	941	941	NUM
ejpam-750	364	16	proof	proof	NOUN
ejpam-750	364	17	.	.	PUNCT
ejpam-750	365	1	[	[	X
ejpam-750	365	2	proof	proof	NOUN
ejpam-750	365	3	of	of	ADP
ejpam-750	365	4	(	(	PUNCT
ejpam-750	365	5	79	79	NUM
ejpam-750	365	6	)	)	PUNCT
ejpam-750	365	7	and	and	CCONJ
ejpam-750	365	8	(	(	PUNCT
ejpam-750	365	9	80	80	NUM
ejpam-750	365	10	)	)	PUNCT
ejpam-750	365	11	]	]	PUNCT
ejpam-750	365	12	putting	put	VERB
ejpam-750	365	13	n=	n=	ADJ
ejpam-750	365	14	1/8	1/8	NUM
ejpam-750	365	15	in	in	ADP
ejpam-750	365	16	(	(	PUNCT
ejpam-750	365	17	78	78	NUM
ejpam-750	365	18	)	)	PUNCT
ejpam-750	365	19	,	,	PUNCT
ejpam-750	365	20	we	we	PRON
ejpam-750	365	21	find	find	VERB
ejpam-750	365	22	that	that	SCONJ
ejpam-750	365	23	(	(	PUNCT
ejpam-750	365	24	−h4	−h4	NOUN
ejpam-750	365	25	+	+	NOUN
ejpam-750	365	26	16h3	16h3	NUM
ejpam-750	365	27	+	+	SYM
ejpam-750	365	28	12	12	NUM
ejpam-750	365	29	p	p	NOUN
ejpam-750	365	30	2h3	2h3	NUM
ejpam-750	365	31	−	−	NOUN
ejpam-750	365	32	36h2−	36h2−	NUM
ejpam-750	365	33	24	24	NUM
ejpam-750	365	34	p	p	NOUN
ejpam-750	365	35	2h2	2h2	NUM
ejpam-750	365	36	+	+	SYM
ejpam-750	365	37	32h+	32h+	NUM
ejpam-750	365	38	24	24	NUM
ejpam-750	365	39	p	p	NOUN
ejpam-750	365	40	2h−	2h−	NUM
ejpam-750	365	41	12−	12−	NUM
ejpam-750	365	42	8	8	NUM
ejpam-750	365	43	p	p	NOUN
ejpam-750	365	44	2	2	NUM
ejpam-750	365	45	)	)	PUNCT
ejpam-750	365	46	(	(	PUNCT
ejpam-750	365	47	−h4−	−h4−	PROPN
ejpam-750	365	48	16h3	16h3	NUM
ejpam-750	365	49	+	+	PROPN
ejpam-750	365	50	12	12	NUM
ejpam-750	365	51	p	p	NOUN
ejpam-750	365	52	2h3	2h3	NUM
ejpam-750	365	53	−	−	PROPN
ejpam-750	365	54	36h2	36h2	NUM
ejpam-750	365	55	+	+	NUM
ejpam-750	365	56	24	24	NUM
ejpam-750	365	57	p	p	NOUN
ejpam-750	365	58	2h2−	2h2−	NUM
ejpam-750	365	59	32h+	32h+	NUM
ejpam-750	365	60	24	24	NUM
ejpam-750	365	61	p	p	NOUN
ejpam-750	365	62	2h−	2h−	NUM
ejpam-750	365	63	12	12	NUM
ejpam-750	365	64	+	+	NUM
ejpam-750	365	65	8	8	NUM
ejpam-750	365	66	p	p	NOUN
ejpam-750	365	67	2	2	NUM
ejpam-750	365	68	)	)	PUNCT
ejpam-750	365	69	(	(	PUNCT
ejpam-750	365	70	h2	h2	NOUN
ejpam-750	365	71	+	+	CCONJ
ejpam-750	365	72	4h+	4h+	NUM
ejpam-750	365	73	2	2	NUM
ejpam-750	365	74	p	p	NOUN
ejpam-750	365	75	2h−	2h−	NUM
ejpam-750	365	76	2−	2−	NUM
ejpam-750	365	77	2	2	NUM
ejpam-750	365	78	p	p	NOUN
ejpam-750	365	79	2)2(h2	2)2(h2	NUM
ejpam-750	365	80	−	−	NOUN
ejpam-750	365	81	4h+	4h+	NUM
ejpam-750	365	82	2	2	NUM
ejpam-750	365	83	p	p	NOUN
ejpam-750	365	84	2h−	2h−	NUM
ejpam-750	365	85	2	2	NUM
ejpam-750	365	86	+	+	NUM
ejpam-750	365	87	2	2	NUM
ejpam-750	365	88	p	p	NOUN
ejpam-750	365	89	2)2	2)2	NUM
ejpam-750	365	90	=	=	SYM
ejpam-750	365	91	0	0	NUM
ejpam-750	365	92	,	,	PUNCT
ejpam-750	365	93	(	(	PUNCT
ejpam-750	365	94	81	81	NUM
ejpam-750	365	95	)	)	PUNCT
ejpam-750	365	96	where	where	SCONJ
ejpam-750	365	97	h	h	NOUN
ejpam-750	365	98	:	:	PUNCT
ejpam-750	365	99	=	=	SYM
ejpam-750	365	100	h4,8	h4,8	NOUN
ejpam-750	365	101	.	.	PUNCT
ejpam-750	366	1	we	we	PRON
ejpam-750	366	2	observe	observe	VERB
ejpam-750	366	3	that	that	SCONJ
ejpam-750	366	4	the	the	DET
ejpam-750	366	5	first	first	ADJ
ejpam-750	366	6	factor	factor	NOUN
ejpam-750	366	7	of	of	ADP
ejpam-750	366	8	the	the	DET
ejpam-750	366	9	equation	equation	NOUN
ejpam-750	366	10	(	(	PUNCT
ejpam-750	366	11	81	81	NUM
ejpam-750	366	12	)	)	PUNCT
ejpam-750	366	13	vanishes	vanish	VERB
ejpam-750	366	14	for	for	ADP
ejpam-750	366	15	specific	specific	ADJ
ejpam-750	366	16	value	value	NOUN
ejpam-750	366	17	of	of	ADP
ejpam-750	366	18	q	q	NOUN
ejpam-750	366	19	=	=	PUNCT
ejpam-750	366	20	e−π	e−π	PROPN
ejpam-750	366	21	p	p	NOUN
ejpam-750	366	22	2	2	NUM
ejpam-750	366	23	,	,	PUNCT
ejpam-750	366	24	but	but	CCONJ
ejpam-750	366	25	the	the	DET
ejpam-750	366	26	other	other	ADJ
ejpam-750	366	27	factors	factor	NOUN
ejpam-750	366	28	does	do	AUX
ejpam-750	366	29	not	not	PART
ejpam-750	366	30	vanish	vanish	VERB
ejpam-750	366	31	.	.	PUNCT
ejpam-750	367	1	hence	hence	ADV
ejpam-750	367	2	,	,	PUNCT
ejpam-750	367	3	we	we	PRON
ejpam-750	367	4	obtain	obtain	VERB
ejpam-750	367	5	(	(	PUNCT
ejpam-750	367	6	79	79	NUM
ejpam-750	367	7	)	)	PUNCT
ejpam-750	367	8	and	and	CCONJ
ejpam-750	367	9	(	(	PUNCT
ejpam-750	367	10	80	80	NUM
ejpam-750	367	11	)	)	PUNCT
ejpam-750	367	12	.	.	PUNCT
ejpam-750	368	1	theorem	theorem	VERB
ejpam-750	368	2	15	15	NUM
ejpam-750	368	3	.	.	PUNCT
ejpam-750	369	1	for	for	ADP
ejpam-750	369	2	any	any	DET
ejpam-750	369	3	positive	positive	ADJ
ejpam-750	369	4	real	real	ADJ
ejpam-750	369	5	number	number	NOUN
ejpam-750	369	6	n	n	CCONJ
ejpam-750	369	7	,	,	PUNCT
ejpam-750	369	8	we	we	PRON
ejpam-750	369	9	have	have	VERB
ejpam-750	369	10	n6	n6	PROPN
ejpam-750	369	11	+	+	CCONJ
ejpam-750	369	12	1	1	NUM
ejpam-750	369	13	n6	n6	NOUN
ejpam-750	369	14	−	−	PROPN
ejpam-750	369	15	908	908	NUM
ejpam-750	369	16	�	�	PROPN
ejpam-750	369	17	n5	n5	PROPN
ejpam-750	369	18	+	+	CCONJ
ejpam-750	369	19	1	1	NUM
ejpam-750	369	20	n5	n5	PROPN
ejpam-750	369	21	�	�	PROPN
ejpam-750	369	22	−	−	PROPN
ejpam-750	369	23	83582	83582	NUM
ejpam-750	369	24	�	�	PROPN
ejpam-750	369	25	n4	n4	PROPN
ejpam-750	369	26	+	+	CCONJ
ejpam-750	369	27	1	1	NUM
ejpam-750	369	28	n4	n4	PROPN
ejpam-750	369	29	�	�	PROPN
ejpam-750	370	1	−	−	PROPN
ejpam-750	370	2	1369692	1369692	NUM
ejpam-750	370	3	�	�	PROPN
ejpam-750	370	4	n3	n3	NOUN
ejpam-750	370	5	+	+	CCONJ
ejpam-750	370	6	1	1	NUM
ejpam-750	370	7	n3	n3	ADJ
ejpam-750	370	8	�	�	PROPN
ejpam-750	370	9	−	−	PROPN
ejpam-750	370	10	3	3	NUM
ejpam-750	370	11	�	�	PROPN
ejpam-750	370	12	n2	n2	NOUN
ejpam-750	370	13	+	+	CCONJ
ejpam-750	370	14	1	1	NUM
ejpam-750	370	15	n2	n2	PROPN
ejpam-750	370	16	�	�	PROPN
ejpam-750	370	17	�	�	PROPN
ejpam-750	370	18	2657883	2657883	NUM
ejpam-750	370	19	+	+	NUM
ejpam-750	370	20	387328	387328	NUM
ejpam-750	370	21	�	�	PROPN
ejpam-750	370	22	m2	m2	PROPN
ejpam-750	370	23	+	+	CCONJ
ejpam-750	370	24	1	1	NUM
ejpam-750	370	25	m2	m2	PROPN
ejpam-750	370	26	�	�	PROPN
ejpam-750	370	27	�	�	PROPN
ejpam-750	370	28	−	−	PROPN
ejpam-750	370	29	24	24	NUM
ejpam-750	370	30	�	�	PROPN
ejpam-750	370	31	n	n	CCONJ
ejpam-750	370	32	+	+	CCONJ
ejpam-750	370	33	1	1	NUM
ejpam-750	370	34	n	n	PRON
ejpam-750	370	35	�	�	PROPN
ejpam-750	370	36	×	×	PROPN
ejpam-750	370	37	�	�	PROPN
ejpam-750	370	38	892353	892353	NUM
ejpam-750	370	39	+	+	SYM
ejpam-750	370	40	579256	579256	NUM
ejpam-750	370	41	�	�	NOUN
ejpam-750	370	42	m	m	VERB
ejpam-750	370	43	+	+	ADJ
ejpam-750	370	44	1	1	NUM
ejpam-750	370	45	m	m	NOUN
ejpam-750	370	46	�	�	NOUN
ejpam-750	370	47	�	�	PROPN
ejpam-750	370	48	+	+	CCONJ
ejpam-750	370	49	17323008	17323008	NUM
ejpam-750	370	50	p	p	SYM
ejpam-750	370	51	2	2	NUM
ejpam-750	370	52	�	�	PROPN
ejpam-750	370	53	p	p	NOUN
ejpam-750	370	54	n	n	NOUN
ejpam-750	370	55	+	+	CCONJ
ejpam-750	370	56	1p	1p	NUM
ejpam-750	370	57	n	n	PRON
ejpam-750	370	58	�	�	PROPN
ejpam-750	370	59	�	�	PROPN
ejpam-750	370	60	p	p	NOUN
ejpam-750	370	61	m	m	PROPN
ejpam-750	370	62	+	+	X
ejpam-750	370	63	1p	1p	NUM
ejpam-750	370	64	m	m	PROPN
ejpam-750	370	65	�	�	NOUN
ejpam-750	370	66	+	+	NUM
ejpam-750	370	67	3663552	3663552	NUM
ejpam-750	370	68	p	p	SYM
ejpam-750	370	69	2	2	NUM
ejpam-750	370	70			NOUN
ejpam-750	370	71			NOUN
ejpam-750	370	72	p	p	NOUN
ejpam-750	370	73	n3	n3	NOUN
ejpam-750	370	74	+	+	CCONJ
ejpam-750	370	75	1	1	NUM
ejpam-750	370	76	p	p	NOUN
ejpam-750	370	77	n3	n3	NOUN
ejpam-750	370	78			PROPN
ejpam-750	370	79			PROPN
ejpam-750	370	80			NOUN
ejpam-750	370	81			NOUN
ejpam-750	370	82	p	p	PRON
ejpam-750	370	83	m3	m3	PROPN
ejpam-750	370	84	+	+	CCONJ
ejpam-750	370	85	1	1	NUM
ejpam-750	370	86	p	p	NOUN
ejpam-750	370	87	m3	m3	PROPN
ejpam-750	370	88			PROPN
ejpam-750	370	89	+	+	NUM
ejpam-750	370	90	86016	86016	NUM
ejpam-750	370	91	p	p	ADJ
ejpam-750	370	92	2	2	NUM
ejpam-750	370	93			NOUN
ejpam-750	370	94			NOUN
ejpam-750	370	95	p	p	PROPN
ejpam-750	370	96	n5	n5	PROPN
ejpam-750	370	97	+	+	CCONJ
ejpam-750	370	98	1	1	NUM
ejpam-750	370	99	p	p	NOUN
ejpam-750	370	100	n5	n5	NUM
ejpam-750	370	101			PROPN
ejpam-750	370	102			PROPN
ejpam-750	370	103	×	×	NOUN
ejpam-750	370	104			NOUN
ejpam-750	370	105			NOUN
ejpam-750	370	106	p	p	X
ejpam-750	370	107	m5	m5	PROPN
ejpam-750	370	108	+	+	CCONJ
ejpam-750	370	109	1	1	NUM
ejpam-750	370	110	p	p	NOUN
ejpam-750	370	111	m5	m5	NOUN
ejpam-750	370	112			PROPN
ejpam-750	370	113	−	−	PROPN
ejpam-750	370	114	29469924=	29469924=	NUM
ejpam-750	370	115	128	128	NUM
ejpam-750	370	116	�	�	PROPN
ejpam-750	370	117	32	32	NUM
ejpam-750	370	118	�	�	PROPN
ejpam-750	370	119	m4	m4	PROPN
ejpam-750	370	120	+	+	CCONJ
ejpam-750	370	121	1	1	NUM
ejpam-750	370	122	m4	m4	PROPN
ejpam-750	370	123	�	�	PROPN
ejpam-750	370	124	+3360	+3360	X
ejpam-750	370	125	�	�	PROPN
ejpam-750	370	126	m3	m3	PROPN
ejpam-750	370	127	+	+	CCONJ
ejpam-750	370	128	1	1	NUM
ejpam-750	370	129	m3	m3	PROPN
ejpam-750	370	130	�	�	PROPN
ejpam-750	370	131	+	+	CCONJ
ejpam-750	370	132	39948	39948	NUM
ejpam-750	370	133	�	�	PROPN
ejpam-750	370	134	m2	m2	PROPN
ejpam-750	370	135	+	+	CCONJ
ejpam-750	370	136	1	1	NUM
ejpam-750	370	137	m2	m2	PROPN
ejpam-750	370	138	�	�	PROPN
ejpam-750	370	139	+	+	CCONJ
ejpam-750	370	140	150852	150852	NUM
ejpam-750	370	141	�	�	NOUN
ejpam-750	370	142	m	m	VERB
ejpam-750	370	143	+	+	NOUN
ejpam-750	370	144	1	1	NUM
ejpam-750	370	145	m	m	NOUN
ejpam-750	370	146	�	�	NOUN
ejpam-750	370	147	�	�	PROPN
ejpam-750	370	148	,	,	PUNCT
ejpam-750	370	149	(	(	PUNCT
ejpam-750	370	150	82	82	NUM
ejpam-750	370	151	)	)	PUNCT
ejpam-750	370	152	where	where	SCONJ
ejpam-750	370	153	m	m	VERB
ejpam-750	370	154	=	=	SYM
ejpam-750	370	155	h4,nh4,81n	h4,nh4,81n	PROPN
ejpam-750	370	156	and	and	CCONJ
ejpam-750	370	157	n	n	NOUN
ejpam-750	370	158	=	=	SYM
ejpam-750	371	1	h4,n	h4,n	PROPN
ejpam-750	371	2	h4,81n	h4,81n	PROPN
ejpam-750	371	3	.	.	PUNCT
ejpam-750	372	1	proof	proof	NOUN
ejpam-750	372	2	.	.	PUNCT
ejpam-750	373	1	employing	employ	VERB
ejpam-750	373	2	(	(	PUNCT
ejpam-750	373	3	5	5	NUM
ejpam-750	373	4	)	)	PUNCT
ejpam-750	373	5	in	in	ADP
ejpam-750	373	6	(	(	PUNCT
ejpam-750	373	7	38	38	NUM
ejpam-750	373	8	)	)	PUNCT
ejpam-750	373	9	,	,	PUNCT
ejpam-750	373	10	we	we	PRON
ejpam-750	373	11	obtain	obtain	VERB
ejpam-750	373	12	(	(	PUNCT
ejpam-750	373	13	82	82	NUM
ejpam-750	373	14	)	)	PUNCT
ejpam-750	373	15	.	.	PUNCT
ejpam-750	374	1	corollary	corollary	ADJ
ejpam-750	374	2	6	6	NUM
ejpam-750	374	3	.	.	PUNCT
ejpam-750	375	1	we	we	PRON
ejpam-750	375	2	have	have	VERB
ejpam-750	375	3	h4,9	h4,9	ADJ
ejpam-750	375	4	=	=	SYM
ejpam-750	375	5	5−	5−	NUM
ejpam-750	375	6	3	3	NUM
ejpam-750	375	7	p	p	NOUN
ejpam-750	375	8	2	2	NUM
ejpam-750	375	9	+	+	SYM
ejpam-750	375	10	3	3	NUM
ejpam-750	375	11	p	p	NOUN
ejpam-750	375	12	3−	3−	NUM
ejpam-750	375	13	2	2	NUM
ejpam-750	375	14	p	p	NOUN
ejpam-750	375	15	6−	6−	NUM
ejpam-750	375	16	q	q	NOUN
ejpam-750	375	17	93−	93−	NUM
ejpam-750	375	18	66	66	NUM
ejpam-750	375	19	p	p	NOUN
ejpam-750	375	20	2	2	NUM
ejpam-750	375	21	+	+	NUM
ejpam-750	375	22	54	54	NUM
ejpam-750	375	23	p	p	NOUN
ejpam-750	375	24	3−	3−	NUM
ejpam-750	375	25	38	38	NUM
ejpam-750	375	26	p	p	NOUN
ejpam-750	375	27	6	6	NUM
ejpam-750	375	28	,	,	PUNCT
ejpam-750	375	29	(	(	PUNCT
ejpam-750	375	30	83	83	NUM
ejpam-750	375	31	)	)	PUNCT
ejpam-750	375	32	h4,1/9	h4,1/9	NOUN
ejpam-750	376	1	=	=	SYM
ejpam-750	376	2	5−	5−	NUM
ejpam-750	376	3	3	3	NUM
ejpam-750	376	4	p	p	NOUN
ejpam-750	376	5	2	2	NUM
ejpam-750	376	6	+	+	SYM
ejpam-750	376	7	3	3	NUM
ejpam-750	376	8	p	p	NOUN
ejpam-750	376	9	3−	3−	NUM
ejpam-750	376	10	2	2	NUM
ejpam-750	376	11	p	p	NOUN
ejpam-750	376	12	6	6	NUM
ejpam-750	376	13	+	+	NOUN
ejpam-750	376	14	q	q	PROPN
ejpam-750	376	15	93−	93−	NUM
ejpam-750	376	16	66	66	NUM
ejpam-750	376	17	p	p	NOUN
ejpam-750	376	18	2	2	NUM
ejpam-750	376	19	+	+	NUM
ejpam-750	376	20	54	54	NUM
ejpam-750	376	21	p	p	NOUN
ejpam-750	376	22	3−	3−	NUM
ejpam-750	376	23	38	38	NUM
ejpam-750	376	24	p	p	NOUN
ejpam-750	376	25	6	6	NUM
ejpam-750	376	26	.	.	PUNCT
ejpam-750	377	1	(	(	PUNCT
ejpam-750	377	2	84	84	NUM
ejpam-750	377	3	)	)	PUNCT
ejpam-750	377	4	proof	proof	NOUN
ejpam-750	377	5	.	.	PUNCT
ejpam-750	378	1	[	[	X
ejpam-750	378	2	proof	proof	NOUN
ejpam-750	378	3	of	of	ADP
ejpam-750	378	4	(	(	PUNCT
ejpam-750	378	5	83	83	NUM
ejpam-750	378	6	)	)	PUNCT
ejpam-750	378	7	and	and	CCONJ
ejpam-750	378	8	(	(	PUNCT
ejpam-750	378	9	84	84	NUM
ejpam-750	378	10	)	)	PUNCT
ejpam-750	378	11	]	]	PUNCT
ejpam-750	378	12	putting	put	VERB
ejpam-750	378	13	n=	n=	ADJ
ejpam-750	378	14	1	1	NUM
ejpam-750	378	15	in	in	ADP
ejpam-750	378	16	(	(	PUNCT
ejpam-750	378	17	82	82	NUM
ejpam-750	378	18	)	)	PUNCT
ejpam-750	378	19	,	,	PUNCT
ejpam-750	378	20	we	we	PRON
ejpam-750	378	21	find	find	VERB
ejpam-750	378	22	that	that	SCONJ
ejpam-750	378	23	(	(	PUNCT
ejpam-750	378	24	h4−	h4−	PROPN
ejpam-750	378	25	20h3	20h3	NUM
ejpam-750	378	26	+	+	NOUN
ejpam-750	378	27	12	12	NUM
ejpam-750	378	28	p	p	NOUN
ejpam-750	378	29	2h3	2h3	NUM
ejpam-750	378	30	−	−	PROPN
ejpam-750	378	31	30h2	30h2	NUM
ejpam-750	378	32	+	+	NUM
ejpam-750	378	33	24h2	24h2	NUM
ejpam-750	378	34	p	p	NOUN
ejpam-750	378	35	2−	2−	NUM
ejpam-750	378	36	20h+	20h+	NOUN
ejpam-750	378	37	12	12	NUM
ejpam-750	378	38	p	p	NOUN
ejpam-750	378	39	2h+	2h+	NUM
ejpam-750	378	40	1	1	NUM
ejpam-750	378	41	)	)	PUNCT
ejpam-750	378	42	(	(	PUNCT
ejpam-750	378	43	h4	h4	PROPN
ejpam-750	378	44	+	+	X
ejpam-750	378	45	20h3	20h3	NUM
ejpam-750	378	46	+	+	NOUN
ejpam-750	378	47	12	12	NUM
ejpam-750	378	48	p	p	NOUN
ejpam-750	378	49	2h3	2h3	NUM
ejpam-750	378	50	−	−	NOUN
ejpam-750	379	1	30h2−	30h2−	NUM
ejpam-750	380	1	24h2	24h2	NUM
ejpam-750	380	2	p	p	NOUN
ejpam-750	380	3	2	2	NUM
ejpam-750	380	4	+	+	NUM
ejpam-750	380	5	20h+	20h+	NUM
ejpam-750	380	6	12	12	NUM
ejpam-750	380	7	p	p	NOUN
ejpam-750	380	8	2h+	2h+	NUM
ejpam-750	380	9	1	1	NUM
ejpam-750	380	10	)	)	PUNCT
ejpam-750	380	11	(	(	PUNCT
ejpam-750	380	12	−h4−	−h4−	NOUN
ejpam-750	380	13	6h3	6h3	NUM
ejpam-750	380	14	+	+	SYM
ejpam-750	380	15	6	6	NUM
ejpam-750	380	16	p	p	NOUN
ejpam-750	380	17	2h3−	2h3−	NUM
ejpam-750	380	18	14h2	14h2	NUM
ejpam-750	380	19	+	+	SYM
ejpam-750	380	20	8h2	8h2	NUM
ejpam-750	380	21	p	p	NOUN
ejpam-750	380	22	2−	2−	NUM
ejpam-750	380	23	6h+	6h+	NUM
ejpam-750	380	24	6	6	NUM
ejpam-750	380	25	p	p	NOUN
ejpam-750	380	26	2h−	2h−	PROPN
ejpam-750	380	27	1)2	1)2	NUM
ejpam-750	380	28	(	(	PUNCT
ejpam-750	380	29	−h4	−h4	NOUN
ejpam-750	380	30	+	+	CCONJ
ejpam-750	380	31	6h3	6h3	NUM
ejpam-750	380	32	+	+	SYM
ejpam-750	380	33	6	6	NUM
ejpam-750	380	34	p	p	NOUN
ejpam-750	380	35	2h3−	2h3−	NUM
ejpam-750	380	36	14h2−	14h2−	NUM
ejpam-750	380	37	8h2	8h2	NUM
ejpam-750	380	38	p	p	NOUN
ejpam-750	380	39	2	2	NUM
ejpam-750	380	40	+	+	NUM
ejpam-750	380	41	6h+	6h+	NUM
ejpam-750	380	42	6	6	NUM
ejpam-750	380	43	p	p	NOUN
ejpam-750	380	44	2h−	2h−	PROPN
ejpam-750	380	45	1)2	1)2	NUM
ejpam-750	380	46	=	=	SYM
ejpam-750	380	47	0	0	NUM
ejpam-750	380	48	,	,	PUNCT
ejpam-750	380	49	(	(	PUNCT
ejpam-750	380	50	85	85	NUM
ejpam-750	380	51	)	)	PUNCT
ejpam-750	380	52	m.	m.	NOUN
ejpam-750	380	53	naika	naika	PROPN
ejpam-750	380	54	,	,	PUNCT
ejpam-750	380	55	k.	k.	PROPN
ejpam-750	380	56	bairy	bairy	PROPN
ejpam-750	380	57	,	,	PUNCT
ejpam-750	380	58	m.	m.	NOUN
ejpam-750	380	59	manjunatha	manjunatha	PROPN
ejpam-750	380	60	/	/	SYM
ejpam-750	380	61	eur	eur	PROPN
ejpam-750	380	62	.	.	PUNCT
ejpam-750	381	1	j.	j.	PROPN
ejpam-750	381	2	pure	pure	PROPN
ejpam-750	381	3	appl	appl	PROPN
ejpam-750	381	4	.	.	PROPN
ejpam-750	381	5	math	math	PROPN
ejpam-750	381	6	,	,	PUNCT
ejpam-750	381	7	3	3	NUM
ejpam-750	381	8	(	(	PUNCT
ejpam-750	381	9	2010	2010	NUM
ejpam-750	381	10	)	)	PUNCT
ejpam-750	381	11	,	,	PUNCT
ejpam-750	381	12	924	924	NUM
ejpam-750	381	13	-	-	SYM
ejpam-750	381	14	947	947	NUM
ejpam-750	381	15	942	942	NUM
ejpam-750	382	1	where	where	SCONJ
ejpam-750	382	2	h	h	NOUN
ejpam-750	382	3	:	:	PUNCT
ejpam-750	382	4	=	=	SYM
ejpam-750	383	1	h4,9	h4,9	ADJ
ejpam-750	383	2	.	.	PUNCT
ejpam-750	384	1	we	we	PRON
ejpam-750	384	2	observe	observe	VERB
ejpam-750	384	3	that	that	SCONJ
ejpam-750	384	4	the	the	DET
ejpam-750	384	5	first	first	ADJ
ejpam-750	384	6	factor	factor	NOUN
ejpam-750	384	7	of	of	ADP
ejpam-750	384	8	the	the	DET
ejpam-750	384	9	equation	equation	NOUN
ejpam-750	384	10	(	(	PUNCT
ejpam-750	384	11	85	85	NUM
ejpam-750	384	12	)	)	PUNCT
ejpam-750	384	13	vanishes	vanish	VERB
ejpam-750	384	14	for	for	ADP
ejpam-750	384	15	specific	specific	ADJ
ejpam-750	384	16	value	value	NOUN
ejpam-750	384	17	of	of	ADP
ejpam-750	384	18	q	q	NOUN
ejpam-750	384	19	=	=	PUNCT
ejpam-750	384	20	e−π	e−π	PROPN
ejpam-750	384	21	p	p	NOUN
ejpam-750	384	22	9/4	9/4	NUM
ejpam-750	384	23	,	,	PUNCT
ejpam-750	384	24	but	but	CCONJ
ejpam-750	384	25	the	the	DET
ejpam-750	384	26	other	other	ADJ
ejpam-750	384	27	factors	factor	NOUN
ejpam-750	384	28	does	do	AUX
ejpam-750	384	29	not	not	PART
ejpam-750	384	30	vanish	vanish	VERB
ejpam-750	384	31	.	.	PUNCT
ejpam-750	385	1	hence	hence	ADV
ejpam-750	385	2	,	,	PUNCT
ejpam-750	385	3	we	we	PRON
ejpam-750	385	4	obtain	obtain	VERB
ejpam-750	385	5	(	(	PUNCT
ejpam-750	385	6	75	75	NUM
ejpam-750	385	7	)	)	PUNCT
ejpam-750	385	8	and	and	CCONJ
ejpam-750	385	9	(	(	PUNCT
ejpam-750	385	10	76	76	NUM
ejpam-750	385	11	)	)	PUNCT
ejpam-750	385	12	.	.	PUNCT
ejpam-750	386	1	theorem	theorem	VERB
ejpam-750	386	2	16	16	NUM
ejpam-750	386	3	.	.	PUNCT
ejpam-750	387	1	for	for	ADP
ejpam-750	387	2	any	any	DET
ejpam-750	387	3	positive	positive	ADJ
ejpam-750	387	4	real	real	ADJ
ejpam-750	387	5	number	number	NOUN
ejpam-750	387	6	n	n	CCONJ
ejpam-750	387	7	,	,	PUNCT
ejpam-750	387	8	we	we	PRON
ejpam-750	387	9	have	have	VERB
ejpam-750	387	10	n7	n7	PROPN
ejpam-750	387	11	+	+	CCONJ
ejpam-750	387	12	1	1	NUM
ejpam-750	387	13	n7	n7	PROPN
ejpam-750	387	14	−	−	PROPN
ejpam-750	387	15	6734	6734	NUM
ejpam-750	387	16	�	�	PROPN
ejpam-750	387	17	n6	n6	PROPN
ejpam-750	387	18	+	+	CCONJ
ejpam-750	387	19	1	1	NUM
ejpam-750	387	20	n6	n6	PROPN
ejpam-750	387	21	�	�	PROPN
ejpam-750	387	22	−	−	PROPN
ejpam-750	387	23	13	13	NUM
ejpam-750	387	24	�	�	PROPN
ejpam-750	387	25	n5	n5	PROPN
ejpam-750	387	26	+	+	CCONJ
ejpam-750	387	27	1	1	NUM
ejpam-750	387	28	n5	n5	PROPN
ejpam-750	387	29	�	�	PROPN
ejpam-750	387	30	�	�	PROPN
ejpam-750	387	31	173721	173721	NUM
ejpam-750	387	32	+	+	SYM
ejpam-750	387	33	98368	98368	NUM
ejpam-750	387	34	�	�	NOUN
ejpam-750	387	35	m	m	VERB
ejpam-750	388	1	+	+	NUM
ejpam-750	388	2	1	1	NUM
ejpam-750	388	3	m	m	NOUN
ejpam-750	388	4	�	�	NOUN
ejpam-750	388	5	�	�	PROPN
ejpam-750	388	6	−	−	PROPN
ejpam-750	388	7	52	52	NUM
ejpam-750	388	8	�	�	PROPN
ejpam-750	388	9	n4	n4	PROPN
ejpam-750	388	10	+	+	PROPN
ejpam-750	388	11	1	1	NUM
ejpam-750	388	12	n4	n4	PROPN
ejpam-750	388	13	�	�	PROPN
ejpam-750	388	14	�	�	PROPN
ejpam-750	388	15	1803735	1803735	NUM
ejpam-750	388	16	+	+	SYM
ejpam-750	388	17	1254312	1254312	NUM
ejpam-750	388	18	�	�	PROPN
ejpam-750	388	19	m	m	VERB
ejpam-750	388	20	+	+	NOUN
ejpam-750	388	21	1	1	NUM
ejpam-750	388	22	m	m	PROPN
ejpam-750	388	23	�	�	NOUN
ejpam-750	388	24	+	+	NUM
ejpam-750	388	25	341200	341200	NUM
ejpam-750	388	26	�	�	PROPN
ejpam-750	388	27	m2	m2	PROPN
ejpam-750	388	28	+	+	CCONJ
ejpam-750	388	29	1	1	NUM
ejpam-750	388	30	m2	m2	PROPN
ejpam-750	388	31	�	�	PROPN
ejpam-750	388	32	�	�	PROPN
ejpam-750	388	33	−	−	PROPN
ejpam-750	388	34	13	13	NUM
ejpam-750	388	35	�	�	PROPN
ejpam-750	388	36	n3	n3	NOUN
ejpam-750	388	37	+	+	CCONJ
ejpam-750	388	38	1	1	NUM
ejpam-750	388	39	n3	n3	PROPN
ejpam-750	388	40	�	�	PROPN
ejpam-750	388	41	�	�	PROPN
ejpam-750	388	42	93381075	93381075	NUM
ejpam-750	388	43	+	+	SYM
ejpam-750	388	44	70091328	70091328	NUM
ejpam-750	388	45	�	�	NOUN
ejpam-750	388	46	m	m	VERB
ejpam-750	388	47	+	+	NOUN
ejpam-750	388	48	1	1	NUM
ejpam-750	388	49	m	m	PROPN
ejpam-750	388	50	�	�	PROPN
ejpam-750	388	51	+	+	CCONJ
ejpam-750	388	52	27592192	27592192	NUM
ejpam-750	388	53	�	�	PROPN
ejpam-750	388	54	m2	m2	PROPN
ejpam-750	388	55	+	+	CCONJ
ejpam-750	388	56	1	1	NUM
ejpam-750	388	57	m2	m2	PROPN
ejpam-750	388	58	�	�	PROPN
ejpam-750	388	59	+4177920	+4177920	PRON
ejpam-750	388	60	�	�	PROPN
ejpam-750	388	61	m3	m3	PROPN
ejpam-750	388	62	+	+	CCONJ
ejpam-750	388	63	1	1	NUM
ejpam-750	388	64	m3	m3	PROPN
ejpam-750	388	65	�	�	PROPN
ejpam-750	388	66	�	�	PROPN
ejpam-750	388	67	−	−	PROPN
ejpam-750	388	68	26	26	NUM
ejpam-750	388	69	�	�	PROPN
ejpam-750	388	70	n2	n2	NOUN
ejpam-750	388	71	+	+	CCONJ
ejpam-750	388	72	1	1	NUM
ejpam-750	388	73	n2	n2	PROPN
ejpam-750	388	74	�	�	PROPN
ejpam-750	388	75	�	�	PROPN
ejpam-750	388	76	255338797	255338797	NUM
ejpam-750	388	77	+	+	NUM
ejpam-750	388	78	198856896	198856896	NUM
ejpam-750	388	79	�	�	NOUN
ejpam-750	388	80	m	m	VERB
ejpam-750	388	81	+	+	NOUN
ejpam-750	388	82	1	1	NUM
ejpam-750	388	83	m	m	PROPN
ejpam-750	388	84	�	�	PROPN
ejpam-750	388	85	+90748240	+90748240	NUM
ejpam-750	388	86	�	�	PROPN
ejpam-750	388	87	m2	m2	PROPN
ejpam-750	388	88	+	+	CCONJ
ejpam-750	388	89	1	1	NUM
ejpam-750	388	90	m2	m2	PROPN
ejpam-750	388	91	�	�	PROPN
ejpam-750	388	92	+	+	CCONJ
ejpam-750	388	93	21215232	21215232	NUM
ejpam-750	388	94	�	�	PROPN
ejpam-750	388	95	m3	m3	PROPN
ejpam-750	388	96	+	+	CCONJ
ejpam-750	388	97	1	1	NUM
ejpam-750	388	98	m3	m3	PROPN
ejpam-750	388	99	�	�	PROPN
ejpam-750	388	100	+	+	CCONJ
ejpam-750	388	101	1798144	1798144	NUM
ejpam-750	388	102	�	�	PROPN
ejpam-750	388	103	m4	m4	PROPN
ejpam-750	388	104	+	+	CCONJ
ejpam-750	388	105	1	1	NUM
ejpam-750	388	106	m4	m4	PROPN
ejpam-750	388	107	�	�	PROPN
ejpam-750	388	108	�	�	PROPN
ejpam-750	388	109	−	−	PROPN
ejpam-750	388	110	13	13	NUM
ejpam-750	388	111	�	�	PROPN
ejpam-750	388	112	n	n	CCONJ
ejpam-750	388	113	+	+	CCONJ
ejpam-750	388	114	1	1	NUM
ejpam-750	388	115	n	n	PRON
ejpam-750	388	116	�	�	PROPN
ejpam-750	388	117	�	�	PROPN
ejpam-750	388	118	1355929177	1355929177	NUM
ejpam-750	388	119	+	+	NUM
ejpam-750	388	120	1075148160	1075148160	NUM
ejpam-750	388	121	�	�	NOUN
ejpam-750	388	122	m	m	VERB
ejpam-750	388	123	+	+	NOUN
ejpam-750	388	124	1	1	NUM
ejpam-750	388	125	m	m	PROPN
ejpam-750	388	126	�	�	PROPN
ejpam-750	388	127	+	+	CCONJ
ejpam-750	388	128	524233216	524233216	NUM
ejpam-750	388	129	�	�	PROPN
ejpam-750	388	130	m2	m2	PROPN
ejpam-750	388	131	+	+	CCONJ
ejpam-750	388	132	1	1	NUM
ejpam-750	388	133	m2	m2	PROPN
ejpam-750	388	134	�	�	PROPN
ejpam-750	388	135	+144474112	+144474112	NUM
ejpam-750	388	136	�	�	PROPN
ejpam-750	388	137	m3	m3	PROPN
ejpam-750	388	138	+	+	CCONJ
ejpam-750	388	139	1	1	NUM
ejpam-750	388	140	m3	m3	PROPN
ejpam-750	388	141	�	�	PROPN
ejpam-750	388	142	+	+	CCONJ
ejpam-750	388	143	18776064	18776064	NUM
ejpam-750	388	144	�	�	PROPN
ejpam-750	388	145	m4	m4	PROPN
ejpam-750	388	146	+	+	CCONJ
ejpam-750	388	147	1	1	NUM
ejpam-750	388	148	m4	m4	PROPN
ejpam-750	388	149	�	�	PROPN
ejpam-750	388	150	+	+	CCONJ
ejpam-750	388	151	786432	786432	NUM
ejpam-750	388	152	�	�	PROPN
ejpam-750	388	153	m5	m5	PROPN
ejpam-750	388	154	+	+	CCONJ
ejpam-750	388	155	1	1	NUM
ejpam-750	388	156	m5	m5	PROPN
ejpam-750	388	157	�	�	NOUN
ejpam-750	388	158	�	�	PROPN
ejpam-750	388	159	+	+	CCONJ
ejpam-750	388	160	416	416	NUM
ejpam-750	388	161	p	p	SYM
ejpam-750	388	162	2	2	NUM
ejpam-750	388	163	�	�	PROPN
ejpam-750	388	164	p	p	NOUN
ejpam-750	388	165	n	n	NOUN
ejpam-750	388	166	+	+	CCONJ
ejpam-750	388	167	1p	1p	NUM
ejpam-750	388	168	n	n	DET
ejpam-750	388	169	�	�	PROPN
ejpam-750	388	170			PROPN
ejpam-750	388	171	35973930	35973930	PROPN
ejpam-750	388	172	�	�	PROPN
ejpam-750	388	173	p	p	NOUN
ejpam-750	388	174	m	m	PROPN
ejpam-750	388	175	+	+	X
ejpam-750	388	176	1p	1p	NUM
ejpam-750	388	177	m	m	PROPN
ejpam-750	388	178	�	�	PROPN
ejpam-750	388	179	+	+	CCONJ
ejpam-750	388	180	22699534	22699534	NUM
ejpam-750	388	181			NOUN
ejpam-750	388	182			NOUN
ejpam-750	388	183	p	p	PRON
ejpam-750	388	184	m3	m3	PROPN
ejpam-750	388	185	+	+	CCONJ
ejpam-750	388	186	1	1	NUM
ejpam-750	388	187	p	p	NOUN
ejpam-750	388	188	m3	m3	PROPN
ejpam-750	388	189			PROPN
ejpam-750	388	190			PROPN
ejpam-750	388	191	+	+	NUM
ejpam-750	388	192	8647936	8647936	NUM
ejpam-750	388	193			NOUN
ejpam-750	388	194			NOUN
ejpam-750	388	195	p	p	X
ejpam-750	388	196	m5	m5	PROPN
ejpam-750	388	197	+	+	CCONJ
ejpam-750	388	198	1	1	NUM
ejpam-750	388	199	p	p	NOUN
ejpam-750	388	200	m5	m5	NOUN
ejpam-750	388	201			PROPN
ejpam-750	388	202	+	+	NUM
ejpam-750	388	203	1777408	1777408	NUM
ejpam-750	388	204			NOUN
ejpam-750	388	205			NOUN
ejpam-750	388	206	p	p	PROPN
ejpam-750	388	207	m7	m7	PROPN
ejpam-750	388	208	+	+	CCONJ
ejpam-750	388	209	1	1	NUM
ejpam-750	388	210	p	p	NOUN
ejpam-750	388	211	m7	m7	PROPN
ejpam-750	388	212			PROPN
ejpam-750	388	213	+	+	NUM
ejpam-750	388	214	159744	159744	NUM
ejpam-750	388	215			NOUN
ejpam-750	388	216			NOUN
ejpam-750	388	217	p	p	PROPN
ejpam-750	388	218	m9	m9	PROPN
ejpam-750	388	219	+	+	CCONJ
ejpam-750	388	220	1	1	NUM
ejpam-750	388	221	p	p	NOUN
ejpam-750	388	222	m9	m9	PROPN
ejpam-750	388	223			PROPN
ejpam-750	389	1			PUNCT
ejpam-750	389	2	+4096	+4096	ADJ
ejpam-750	389	3			NOUN
ejpam-750	389	4			NOUN
ejpam-750	389	5	p	p	NOUN
ejpam-750	389	6	m11	m11	NOUN
ejpam-750	389	7	+	+	CCONJ
ejpam-750	389	8	1	1	NUM
ejpam-750	389	9	p	p	NOUN
ejpam-750	389	10	m11	m11	NOUN
ejpam-750	389	11			PROPN
ejpam-750	389	12			PROPN
ejpam-750	389	13			NUM
ejpam-750	389	14	+	+	NUM
ejpam-750	389	15	832	832	NUM
ejpam-750	389	16	p	p	SYM
ejpam-750	389	17	2	2	NUM
ejpam-750	389	18			NOUN
ejpam-750	389	19			NOUN
ejpam-750	390	1	p	p	NOUN
ejpam-750	390	2	n3	n3	NOUN
ejpam-750	390	3	+	+	CCONJ
ejpam-750	390	4	1	1	NUM
ejpam-750	390	5	p	p	NOUN
ejpam-750	390	6	n3	n3	NOUN
ejpam-750	390	7			PROPN
ejpam-750	390	8			PROPN
ejpam-750	390	9	�	�	PROPN
ejpam-750	390	10	9431769	9431769	NUM
ejpam-750	390	11	�	�	PROPN
ejpam-750	390	12	p	p	NOUN
ejpam-750	390	13	m	m	PROPN
ejpam-750	390	14	+	+	X
ejpam-750	390	15	1p	1p	NUM
ejpam-750	390	16	m	m	PROPN
ejpam-750	390	17	�	�	NOUN
ejpam-750	390	18	+	+	NUM
ejpam-750	390	19	5809010	5809010	NUM
ejpam-750	390	20			NOUN
ejpam-750	390	21			NOUN
ejpam-750	390	22	p	p	DET
ejpam-750	390	23	m3	m3	PROPN
ejpam-750	390	24	+	+	CCONJ
ejpam-750	390	25	1	1	NUM
ejpam-750	390	26	p	p	NOUN
ejpam-750	390	27	m3	m3	PROPN
ejpam-750	390	28			PROPN
ejpam-750	390	29	+	+	NUM
ejpam-750	390	30	2076288	2076288	NUM
ejpam-750	390	31			NOUN
ejpam-750	390	32			NOUN
ejpam-750	390	33	p	p	X
ejpam-750	390	34	m5	m5	PROPN
ejpam-750	390	35	+	+	CCONJ
ejpam-750	390	36	1	1	NUM
ejpam-750	390	37	p	p	NOUN
ejpam-750	390	38	m5	m5	NOUN
ejpam-750	390	39			PROPN
ejpam-750	390	40	+	+	NUM
ejpam-750	390	41	367808	367808	NUM
ejpam-750	390	42			NOUN
ejpam-750	390	43			NOUN
ejpam-750	390	44	p	p	PROPN
ejpam-750	390	45	m7	m7	PROPN
ejpam-750	390	46	+	+	CCONJ
ejpam-750	390	47	1	1	NUM
ejpam-750	390	48	p	p	NOUN
ejpam-750	390	49	m7	m7	NOUN
ejpam-750	390	50			PROPN
ejpam-750	390	51			PROPN
ejpam-750	390	52	+22528	+22528	NUM
ejpam-750	390	53			NOUN
ejpam-750	390	54			NOUN
ejpam-750	390	55	p	p	PROPN
ejpam-750	390	56	m9	m9	PROPN
ejpam-750	390	57	+	+	CCONJ
ejpam-750	390	58	1	1	NUM
ejpam-750	390	59	p	p	NOUN
ejpam-750	390	60	m9	m9	PROPN
ejpam-750	390	61			PROPN
ejpam-750	390	62			PROPN
ejpam-750	390	63			PROPN
ejpam-750	390	64	+	+	NUM
ejpam-750	390	65	416	416	NUM
ejpam-750	390	66	p	p	SYM
ejpam-750	390	67	2	2	NUM
ejpam-750	390	68			NOUN
ejpam-750	390	69			NOUN
ejpam-750	390	70	p	p	PROPN
ejpam-750	390	71	n5	n5	PROPN
ejpam-750	390	72	+	+	CCONJ
ejpam-750	390	73	1	1	NUM
ejpam-750	390	74	p	p	NOUN
ejpam-750	390	75	n5	n5	NUM
ejpam-750	390	76			PROPN
ejpam-750	390	77			PROPN
ejpam-750	390	78	�	�	PROPN
ejpam-750	390	79	4977453	4977453	NUM
ejpam-750	390	80	�	�	PROPN
ejpam-750	390	81	p	p	NOUN
ejpam-750	390	82	m	m	PROPN
ejpam-750	390	83	+	+	X
ejpam-750	390	84	1p	1p	NUM
ejpam-750	390	85	m	m	VERB
ejpam-750	390	86	�	�	NOUN
ejpam-750	390	87	+2895124	+2895124	NOUN
ejpam-750	390	88			PROPN
ejpam-750	390	89			NOUN
ejpam-750	390	90	p	p	DET
ejpam-750	390	91	m3	m3	PROPN
ejpam-750	390	92	+	+	CCONJ
ejpam-750	390	93	1	1	NUM
ejpam-750	390	94	p	p	NOUN
ejpam-750	390	95	m3	m3	PROPN
ejpam-750	390	96			PROPN
ejpam-750	390	97	+	+	NUM
ejpam-750	390	98	879360	879360	NUM
ejpam-750	390	99			NOUN
ejpam-750	390	100			NOUN
ejpam-750	390	101	p	p	X
ejpam-750	390	102	m5	m5	PROPN
ejpam-750	390	103	+	+	CCONJ
ejpam-750	390	104	1	1	NUM
ejpam-750	390	105	p	p	NOUN
ejpam-750	390	106	m5	m5	NOUN
ejpam-750	390	107			PROPN
ejpam-750	390	108	+	+	NUM
ejpam-750	390	109	100224	100224	NUM
ejpam-750	390	110			NOUN
ejpam-750	390	111			NOUN
ejpam-750	390	112	p	p	PROPN
ejpam-750	390	113	m7	m7	PROPN
ejpam-750	390	114	+	+	CCONJ
ejpam-750	390	115	1	1	NUM
ejpam-750	390	116	p	p	NOUN
ejpam-750	390	117	m7	m7	NOUN
ejpam-750	390	118			PROPN
ejpam-750	390	119			PROPN
ejpam-750	390	120			PROPN
ejpam-750	390	121			PROPN
ejpam-750	390	122	+	+	NUM
ejpam-750	390	123	208	208	NUM
ejpam-750	390	124	p	p	SYM
ejpam-750	390	125	2	2	NUM
ejpam-750	390	126			NOUN
ejpam-750	390	127			NOUN
ejpam-750	390	128	p	p	PROPN
ejpam-750	390	129	n7	n7	PROPN
ejpam-750	390	130	+	+	CCONJ
ejpam-750	390	131	1	1	NUM
ejpam-750	390	132	p	p	NOUN
ejpam-750	390	133	n7	n7	PROPN
ejpam-750	390	134			PROPN
ejpam-750	390	135			PROPN
ejpam-750	390	136			NOUN
ejpam-750	390	137	1197554	1197554	PROPN
ejpam-750	390	138	�	�	PROPN
ejpam-750	390	139	p	p	NOUN
ejpam-750	390	140	m	m	PROPN
ejpam-750	390	141	+	+	X
ejpam-750	390	142	1p	1p	NUM
ejpam-750	390	143	m	m	PROPN
ejpam-750	390	144	�	�	PROPN
ejpam-750	390	145	+	+	SYM
ejpam-750	390	146	617714	617714	NUM
ejpam-750	390	147			NOUN
ejpam-750	390	148			NOUN
ejpam-750	390	149	p	p	DET
ejpam-750	390	150	m3	m3	PROPN
ejpam-750	390	151	+	+	CCONJ
ejpam-750	390	152	1	1	NUM
ejpam-750	390	153	p	p	NOUN
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ejpam-750	390	155			PROPN
ejpam-750	390	156			PROPN
ejpam-750	390	157	m.	m.	NOUN
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ejpam-750	390	160	k.	k.	PROPN
ejpam-750	390	161	bairy	bairy	PROPN
ejpam-750	390	162	,	,	PUNCT
ejpam-750	390	163	m.	m.	NOUN
ejpam-750	390	164	manjunatha	manjunatha	PROPN
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ejpam-750	390	166	eur	eur	PROPN
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ejpam-750	391	2	pure	pure	PROPN
ejpam-750	391	3	appl	appl	PROPN
ejpam-750	391	4	.	.	PROPN
ejpam-750	391	5	math	math	PROPN
ejpam-750	391	6	,	,	PUNCT
ejpam-750	391	7	3	3	NUM
ejpam-750	391	8	(	(	PUNCT
ejpam-750	391	9	2010	2010	NUM
ejpam-750	391	10	)	)	PUNCT
ejpam-750	391	11	,	,	PUNCT
ejpam-750	391	12	924	924	NUM
ejpam-750	391	13	-	-	SYM
ejpam-750	391	14	947	947	NUM
ejpam-750	391	15	943	943	NUM
ejpam-750	391	16	+124416	+124416	NUM
ejpam-750	391	17			NOUN
ejpam-750	391	18			NOUN
ejpam-750	391	19	p	p	X
ejpam-750	391	20	m5	m5	PROPN
ejpam-750	391	21	+	+	CCONJ
ejpam-750	391	22	1	1	NUM
ejpam-750	391	23	p	p	NOUN
ejpam-750	391	24	m5	m5	NOUN
ejpam-750	391	25			PROPN
ejpam-750	391	26			SYM
ejpam-750	391	27			NUM
ejpam-750	391	28	+	+	NUM
ejpam-750	391	29	208	208	NUM
ejpam-750	391	30	p	p	ADJ
ejpam-750	391	31	2	2	NUM
ejpam-750	391	32			NOUN
ejpam-750	391	33			NOUN
ejpam-750	391	34	p	p	X
ejpam-750	391	35	n9	n9	PROPN
ejpam-750	391	36	+	+	CCONJ
ejpam-750	391	37	1	1	NUM
ejpam-750	391	38	p	p	NOUN
ejpam-750	391	39	n9	n9	PROPN
ejpam-750	391	40			PROPN
ejpam-750	391	41			PROPN
ejpam-750	391	42	�	�	PROPN
ejpam-750	391	43	53242	53242	NUM
ejpam-750	391	44	�	�	PROPN
ejpam-750	391	45	p	p	NOUN
ejpam-750	391	46	m	m	PROPN
ejpam-750	391	47	+	+	X
ejpam-750	391	48	1p	1p	NUM
ejpam-750	391	49	m	m	PROPN
ejpam-750	391	50	�	�	PROPN
ejpam-750	391	51	+20226	+20226	NUM
ejpam-750	391	52			PROPN
ejpam-750	391	53			NOUN
ejpam-750	391	54	p	p	DET
ejpam-750	391	55	m3	m3	PROPN
ejpam-750	391	56	+	+	CCONJ
ejpam-750	391	57	1	1	NUM
ejpam-750	391	58	p	p	NOUN
ejpam-750	391	59	m3	m3	PROPN
ejpam-750	391	60			PROPN
ejpam-750	391	61			PROPN
ejpam-750	391	62			NUM
ejpam-750	391	63	+	+	NUM
ejpam-750	391	64	106912	106912	NUM
ejpam-750	391	65	p	p	NOUN
ejpam-750	391	66	2	2	NUM
ejpam-750	391	67			NOUN
ejpam-750	391	68			NOUN
ejpam-750	391	69	p	p	X
ejpam-750	391	70	n11	n11	PROPN
ejpam-750	391	71	+	+	CCONJ
ejpam-750	391	72	1	1	NUM
ejpam-750	391	73	p	p	NOUN
ejpam-750	391	74	n11	n11	NOUN
ejpam-750	391	75			PROPN
ejpam-750	391	76			PROPN
ejpam-750	391	77	�	�	PROPN
ejpam-750	391	78	p	p	NOUN
ejpam-750	391	79	m	m	PROPN
ejpam-750	391	80	+	+	X
ejpam-750	391	81	1p	1p	NUM
ejpam-750	391	82	m	m	PROPN
ejpam-750	391	83	�	�	PROPN
ejpam-750	391	84	=	=	SYM
ejpam-750	391	85	19335146688	19335146688	NUM
ejpam-750	391	86	�	�	PROPN
ejpam-750	391	87	m	m	VERB
ejpam-750	391	88	+	+	NOUN
ejpam-750	391	89	1	1	NUM
ejpam-750	391	90	m	m	PROPN
ejpam-750	391	91	�	�	PROPN
ejpam-750	391	92	+	+	CCONJ
ejpam-750	391	93	9612979584	9612979584	NUM
ejpam-750	391	94	�	�	PROPN
ejpam-750	391	95	m2	m2	PROPN
ejpam-750	391	96	+	+	CCONJ
ejpam-750	391	97	1	1	NUM
ejpam-750	391	98	m2	m2	PROPN
ejpam-750	391	99	�	�	PROPN
ejpam-750	391	100	+	+	CCONJ
ejpam-750	391	101	2772836352	2772836352	NUM
ejpam-750	391	102	�	�	PROPN
ejpam-750	391	103	m3	m3	PROPN
ejpam-750	391	104	+	+	CCONJ
ejpam-750	391	105	1	1	NUM
ejpam-750	391	106	m3	m3	PROPN
ejpam-750	391	107	�	�	PROPN
ejpam-750	391	108	+	+	CCONJ
ejpam-750	391	109	399785984	399785984	NUM
ejpam-750	391	110	�	�	PROPN
ejpam-750	391	111	m4	m4	PROPN
ejpam-750	391	112	+	+	CCONJ
ejpam-750	391	113	1	1	NUM
ejpam-750	391	114	m4	m4	PROPN
ejpam-750	391	115	�	�	PROPN
ejpam-750	391	116	+	+	CCONJ
ejpam-750	391	117	22151168	22151168	NUM
ejpam-750	391	118	�	�	PROPN
ejpam-750	391	119	m5	m5	PROPN
ejpam-750	391	120	+	+	CCONJ
ejpam-750	391	121	1	1	NUM
ejpam-750	391	122	m5	m5	PROPN
ejpam-750	391	123	�	�	PROPN
ejpam-750	391	124	+	+	CCONJ
ejpam-750	391	125	262144	262144	NUM
ejpam-750	391	126	�	�	PROPN
ejpam-750	391	127	m6	m6	PROPN
ejpam-750	391	128	+	+	CCONJ
ejpam-750	391	129	1	1	NUM
ejpam-750	391	130	m6	m6	PROPN
ejpam-750	391	131	�	�	PROPN
ejpam-750	391	132	+	+	CCONJ
ejpam-750	391	133	24251297512	24251297512	NUM
ejpam-750	391	134	,	,	PUNCT
ejpam-750	391	135	(	(	PUNCT
ejpam-750	391	136	86	86	NUM
ejpam-750	391	137	)	)	PUNCT
ejpam-750	391	138	where	where	SCONJ
ejpam-750	391	139	m	m	VERB
ejpam-750	391	140	=	=	SYM
ejpam-750	391	141	h4,nh4,169n	h4,nh4,169n	X
ejpam-750	391	142	and	and	CCONJ
ejpam-750	391	143	n	n	NOUN
ejpam-750	391	144	=	=	PUNCT
ejpam-750	391	145	h4,n	h4,n	PROPN
ejpam-750	391	146	h4,169n	h4,169n	PROPN
ejpam-750	391	147	.	.	PUNCT
ejpam-750	392	1	proof	proof	NOUN
ejpam-750	392	2	.	.	PUNCT
ejpam-750	393	1	employing	employ	VERB
ejpam-750	393	2	(	(	PUNCT
ejpam-750	393	3	5	5	NUM
ejpam-750	393	4	)	)	PUNCT
ejpam-750	393	5	in	in	ADP
ejpam-750	393	6	(	(	PUNCT
ejpam-750	393	7	41	41	NUM
ejpam-750	393	8	)	)	PUNCT
ejpam-750	393	9	,	,	PUNCT
ejpam-750	393	10	we	we	PRON
ejpam-750	393	11	obtain	obtain	VERB
ejpam-750	393	12	(	(	PUNCT
ejpam-750	393	13	86	86	NUM
ejpam-750	393	14	)	)	PUNCT
ejpam-750	393	15	.	.	PUNCT
ejpam-750	394	1	corollary	corollary	ADJ
ejpam-750	394	2	7	7	NUM
ejpam-750	394	3	.	.	PUNCT
ejpam-750	395	1	we	we	PRON
ejpam-750	395	2	have	have	VERB
ejpam-750	395	3	h4,13	h4,13	NOUN
ejpam-750	395	4	=	=	SYM
ejpam-750	395	5	−	−	NOUN
ejpam-750	395	6	r	r	NOUN
ejpam-750	395	7	1279	1279	NUM
ejpam-750	395	8	+	+	SYM
ejpam-750	395	9	355	355	NUM
ejpam-750	395	10	p	p	NOUN
ejpam-750	395	11	13	13	NUM
ejpam-750	395	12	+	+	NUM
ejpam-750	395	13	12	12	NUM
ejpam-750	395	14	p	p	NOUN
ejpam-750	395	15	a1	a1	NOUN
ejpam-750	395	16	2	2	NUM
ejpam-750	395	17	+	+	CCONJ
ejpam-750	395	18	r	r	NOUN
ejpam-750	395	19	1281	1281	NUM
ejpam-750	395	20	+	+	NUM
ejpam-750	395	21	355	355	NUM
ejpam-750	395	22	p	p	NOUN
ejpam-750	395	23	13	13	NUM
ejpam-750	395	24	+	+	NUM
ejpam-750	395	25	12	12	NUM
ejpam-750	395	26	p	p	NOUN
ejpam-750	395	27	a1	a1	NOUN
ejpam-750	395	28	2	2	NUM
ejpam-750	395	29	,	,	PUNCT
ejpam-750	395	30	(	(	PUNCT
ejpam-750	395	31	87	87	NUM
ejpam-750	395	32	)	)	PUNCT
ejpam-750	395	33	h4,1/13	h4,1/13	PROPN
ejpam-750	395	34	=	=	SYM
ejpam-750	395	35	r	r	NOUN
ejpam-750	395	36	1279	1279	NUM
ejpam-750	395	37	+	+	SYM
ejpam-750	395	38	355	355	NUM
ejpam-750	395	39	p	p	NOUN
ejpam-750	395	40	13	13	NUM
ejpam-750	395	41	+	+	NUM
ejpam-750	395	42	12	12	NUM
ejpam-750	395	43	p	p	NOUN
ejpam-750	395	44	a1	a1	NOUN
ejpam-750	395	45	2	2	NUM
ejpam-750	395	46	+	+	CCONJ
ejpam-750	395	47	r	r	NOUN
ejpam-750	395	48	1281	1281	NUM
ejpam-750	395	49	+	+	NUM
ejpam-750	395	50	355	355	NUM
ejpam-750	395	51	p	p	NOUN
ejpam-750	395	52	13	13	NUM
ejpam-750	395	53	+	+	NUM
ejpam-750	395	54	12	12	NUM
ejpam-750	395	55	p	p	NOUN
ejpam-750	395	56	a1	a1	NOUN
ejpam-750	395	57	2	2	NUM
ejpam-750	395	58	.	.	PUNCT
ejpam-750	396	1	(	(	PUNCT
ejpam-750	396	2	88	88	NUM
ejpam-750	396	3	)	)	PUNCT
ejpam-750	396	4	where	where	SCONJ
ejpam-750	396	5	a1	a1	NOUN
ejpam-750	396	6	=	=	SYM
ejpam-750	396	7	22733	22733	NUM
ejpam-750	396	8	+	+	SYM
ejpam-750	396	9	6305	6305	NUM
ejpam-750	396	10	p	p	ADJ
ejpam-750	396	11	13	13	NUM
ejpam-750	396	12	.	.	PUNCT
ejpam-750	397	1	proof	proof	NOUN
ejpam-750	397	2	.	.	PUNCT
ejpam-750	398	1	[	[	X
ejpam-750	398	2	proof	proof	NOUN
ejpam-750	398	3	of	of	ADP
ejpam-750	398	4	(	(	PUNCT
ejpam-750	398	5	87	87	NUM
ejpam-750	398	6	)	)	PUNCT
ejpam-750	398	7	and	and	CCONJ
ejpam-750	398	8	(	(	PUNCT
ejpam-750	398	9	88	88	NUM
ejpam-750	398	10	)	)	PUNCT
ejpam-750	398	11	]	]	PUNCT
ejpam-750	398	12	putting	put	VERB
ejpam-750	398	13	n=	n=	ADV
ejpam-750	398	14	1/13	1/13	NUM
ejpam-750	398	15	in	in	ADP
ejpam-750	398	16	(	(	PUNCT
ejpam-750	398	17	86	86	NUM
ejpam-750	398	18	)	)	PUNCT
ejpam-750	398	19	,	,	PUNCT
ejpam-750	398	20	we	we	PRON
ejpam-750	398	21	find	find	VERB
ejpam-750	398	22	that	that	SCONJ
ejpam-750	398	23	(	(	PUNCT
ejpam-750	398	24	h4	h4	NOUN
ejpam-750	398	25	−	−	PROPN
ejpam-750	398	26	50h3	50h3	NUM
ejpam-750	398	27	+	+	NUM
ejpam-750	398	28	34	34	NUM
ejpam-750	398	29	p	p	NOUN
ejpam-750	398	30	2h3	2h3	NUM
ejpam-750	398	31	−	−	NUM
ejpam-750	398	32	154h2	154h2	NUM
ejpam-750	398	33	+	+	CCONJ
ejpam-750	398	34	110	110	NUM
ejpam-750	398	35	p	p	NOUN
ejpam-750	398	36	2h2	2h2	NUM
ejpam-750	398	37	−	−	NUM
ejpam-750	398	38	190h+	190h+	NUM
ejpam-750	398	39	134	134	NUM
ejpam-750	398	40	p	p	NOUN
ejpam-750	398	41	2h−	2h−	NUM
ejpam-750	398	42	99	99	NUM
ejpam-750	398	43	+	+	NUM
ejpam-750	398	44	70	70	NUM
ejpam-750	398	45	p	p	NOUN
ejpam-750	398	46	2	2	NUM
ejpam-750	398	47	)	)	PUNCT
ejpam-750	398	48	(	(	PUNCT
ejpam-750	398	49	h4	h4	NOUN
ejpam-750	398	50	+	+	CCONJ
ejpam-750	399	1	50h3	50h3	NUM
ejpam-750	399	2	+	+	SYM
ejpam-750	399	3	34	34	NUM
ejpam-750	399	4	p	p	NOUN
ejpam-750	399	5	2h3	2h3	NUM
ejpam-750	400	1	−	−	PROPN
ejpam-750	400	2	154h2−	154h2−	NOUN
ejpam-750	400	3	110	110	NUM
ejpam-750	400	4	p	p	NOUN
ejpam-750	400	5	2h2	2h2	NUM
ejpam-750	400	6	+	+	NUM
ejpam-750	400	7	190h+	190h+	NUM
ejpam-750	400	8	134	134	NUM
ejpam-750	400	9	p	p	NOUN
ejpam-750	400	10	2h−	2h−	NUM
ejpam-750	400	11	99−	99−	NUM
ejpam-750	400	12	70	70	NUM
ejpam-750	400	13	p	p	NOUN
ejpam-750	400	14	2	2	NUM
ejpam-750	400	15	)	)	PUNCT
ejpam-750	400	16	(	(	PUNCT
ejpam-750	400	17	−h4−	−h4−	PROPN
ejpam-750	400	18	20h3	20h3	NUM
ejpam-750	400	19	+	+	NOUN
ejpam-750	400	20	16	16	NUM
ejpam-750	400	21	p	p	NOUN
ejpam-750	400	22	2h3	2h3	NUM
ejpam-750	400	23	−	−	PROPN
ejpam-750	400	24	54h2	54h2	NUM
ejpam-750	400	25	+	+	NUM
ejpam-750	400	26	36	36	NUM
ejpam-750	400	27	p	p	NOUN
ejpam-750	400	28	2h2−	2h2−	NUM
ejpam-750	400	29	44h+	44h+	NOUN
ejpam-750	400	30	32	32	NUM
ejpam-750	400	31	p	p	NOUN
ejpam-750	400	32	2h−	2h−	NUM
ejpam-750	400	33	17	17	NUM
ejpam-750	400	34	+	+	NUM
ejpam-750	400	35	12	12	NUM
ejpam-750	400	36	p	p	NOUN
ejpam-750	400	37	2)2	2)2	NUM
ejpam-750	400	38	(	(	PUNCT
ejpam-750	400	39	−h4	−h4	NOUN
ejpam-750	400	40	+	+	X
ejpam-750	400	41	20h3	20h3	NUM
ejpam-750	400	42	+	+	NOUN
ejpam-750	400	43	16	16	NUM
ejpam-750	400	44	p	p	NOUN
ejpam-750	400	45	2h3	2h3	NUM
ejpam-750	400	46	−	−	NUM
ejpam-750	400	47	54h2−	54h2−	NOUN
ejpam-750	400	48	36	36	NUM
ejpam-750	400	49	p	p	NOUN
ejpam-750	400	50	2h2	2h2	NUM
ejpam-750	400	51	+	+	NOUN
ejpam-750	400	52	44h+	44h+	NUM
ejpam-750	400	53	32	32	NUM
ejpam-750	400	54	p	p	NOUN
ejpam-750	400	55	2h−	2h−	NUM
ejpam-750	400	56	17−	17−	NOUN
ejpam-750	400	57	12	12	NUM
ejpam-750	400	58	p	p	NOUN
ejpam-750	400	59	2)2	2)2	NUM
ejpam-750	400	60	(	(	PUNCT
ejpam-750	400	61	−h+	−h+	NOUN
ejpam-750	400	62	1	1	NUM
ejpam-750	400	63	+	+	NUM
ejpam-750	400	64	p	p	NOUN
ejpam-750	400	65	2)2(−h−	2)2(−h−	NUM
ejpam-750	400	66	1	1	NUM
ejpam-750	400	67	+	+	NUM
ejpam-750	400	68	p	p	NOUN
ejpam-750	400	69	2)2	2)2	NUM
ejpam-750	400	70	=	=	SYM
ejpam-750	400	71	0	0	NUM
ejpam-750	400	72	,	,	PUNCT
ejpam-750	400	73	(	(	PUNCT
ejpam-750	400	74	89	89	NUM
ejpam-750	400	75	)	)	PUNCT
ejpam-750	400	76	where	where	SCONJ
ejpam-750	400	77	h	h	NOUN
ejpam-750	400	78	:	:	PUNCT
ejpam-750	400	79	=	=	SYM
ejpam-750	400	80	h4,13	h4,13	NOUN
ejpam-750	400	81	.	.	PUNCT
ejpam-750	401	1	we	we	PRON
ejpam-750	401	2	observe	observe	VERB
ejpam-750	401	3	that	that	SCONJ
ejpam-750	401	4	the	the	DET
ejpam-750	401	5	first	first	ADJ
ejpam-750	401	6	factor	factor	NOUN
ejpam-750	401	7	of	of	ADP
ejpam-750	401	8	the	the	DET
ejpam-750	401	9	equation	equation	NOUN
ejpam-750	401	10	(	(	PUNCT
ejpam-750	401	11	89	89	NUM
ejpam-750	401	12	)	)	PUNCT
ejpam-750	401	13	vanishes	vanish	VERB
ejpam-750	401	14	for	for	ADP
ejpam-750	401	15	specific	specific	ADJ
ejpam-750	401	16	value	value	NOUN
ejpam-750	401	17	of	of	ADP
ejpam-750	401	18	q	q	NOUN
ejpam-750	401	19	=	=	PUNCT
ejpam-750	401	20	e−π	e−π	PROPN
ejpam-750	401	21	p	p	NOUN
ejpam-750	401	22	13/4	13/4	NUM
ejpam-750	401	23	,	,	PUNCT
ejpam-750	401	24	but	but	CCONJ
ejpam-750	401	25	the	the	DET
ejpam-750	401	26	other	other	ADJ
ejpam-750	401	27	factors	factor	NOUN
ejpam-750	401	28	does	do	AUX
ejpam-750	401	29	not	not	PART
ejpam-750	401	30	vanish	vanish	VERB
ejpam-750	401	31	.	.	PUNCT
ejpam-750	402	1	hence	hence	ADV
ejpam-750	402	2	,	,	PUNCT
ejpam-750	402	3	we	we	PRON
ejpam-750	402	4	find	find	VERB
ejpam-750	402	5	that	that	SCONJ
ejpam-750	402	6	x4−	x4−	PROPN
ejpam-750	402	7	116x2−	116x2−	NOUN
ejpam-750	402	8	144−	144−	NUM
ejpam-750	402	9	100x3−	100x3−	NOUN
ejpam-750	402	10	240x	240x	NUM
ejpam-750	402	11	=	=	SYM
ejpam-750	402	12	0	0	PROPN
ejpam-750	402	13	,	,	PUNCT
ejpam-750	402	14	(	(	PUNCT
ejpam-750	402	15	90	90	NUM
ejpam-750	402	16	)	)	PUNCT
ejpam-750	403	1	where	where	SCONJ
ejpam-750	403	2	x	x	SYM
ejpam-750	403	3	=	=	NOUN
ejpam-750	403	4	h4,13	h4,13	NOUN
ejpam-750	403	5	+	+	CCONJ
ejpam-750	403	6	1	1	NUM
ejpam-750	403	7	h4,13	h4,13	NUM
ejpam-750	404	1	.	.	PUNCT
ejpam-750	405	1	the	the	DET
ejpam-750	405	2	above	above	ADJ
ejpam-750	405	3	equation	equation	NOUN
ejpam-750	405	4	can	can	AUX
ejpam-750	405	5	be	be	AUX
ejpam-750	405	6	written	write	VERB
ejpam-750	405	7	as	as	ADP
ejpam-750	405	8	(	(	PUNCT
ejpam-750	405	9	x2−	x2−	PROPN
ejpam-750	405	10	50x	50x	NUM
ejpam-750	405	11	−	−	PROPN
ejpam-750	405	12	14	14	NUM
ejpam-750	405	13	p	p	NOUN
ejpam-750	405	14	13x	13x	NUM
ejpam-750	405	15	−	−	PROPN
ejpam-750	405	16	10	10	NUM
ejpam-750	405	17	p	p	NOUN
ejpam-750	405	18	13−	13−	NUM
ejpam-750	405	19	34)(x2−	34)(x2−	NUM
ejpam-750	405	20	50x	50x	NOUN
ejpam-750	405	21	+	+	CCONJ
ejpam-750	405	22	14	14	NUM
ejpam-750	405	23	p	p	NOUN
ejpam-750	405	24	13x	13x	NUM
ejpam-750	405	25	+	+	CCONJ
ejpam-750	405	26	10	10	NUM
ejpam-750	405	27	p	p	NOUN
ejpam-750	405	28	13−	13−	NUM
ejpam-750	405	29	34	34	NUM
ejpam-750	405	30	)	)	PUNCT
ejpam-750	405	31	=	=	SYM
ejpam-750	406	1	0	0	X
ejpam-750	406	2	.	.	PUNCT
ejpam-750	407	1	(	(	PUNCT
ejpam-750	407	2	91	91	NUM
ejpam-750	407	3	)	)	PUNCT
ejpam-750	407	4	m.	m.	NOUN
ejpam-750	407	5	naika	naika	PROPN
ejpam-750	407	6	,	,	PUNCT
ejpam-750	407	7	k.	k.	PROPN
ejpam-750	407	8	bairy	bairy	PROPN
ejpam-750	407	9	,	,	PUNCT
ejpam-750	407	10	m.	m.	NOUN
ejpam-750	407	11	manjunatha	manjunatha	PROPN
ejpam-750	407	12	/	/	SYM
ejpam-750	407	13	eur	eur	PROPN
ejpam-750	407	14	.	.	PUNCT
ejpam-750	408	1	j.	j.	PROPN
ejpam-750	408	2	pure	pure	PROPN
ejpam-750	408	3	appl	appl	PROPN
ejpam-750	408	4	.	.	PROPN
ejpam-750	408	5	math	math	PROPN
ejpam-750	408	6	,	,	PUNCT
ejpam-750	408	7	3	3	NUM
ejpam-750	408	8	(	(	PUNCT
ejpam-750	408	9	2010	2010	NUM
ejpam-750	408	10	)	)	PUNCT
ejpam-750	408	11	,	,	PUNCT
ejpam-750	408	12	924	924	NUM
ejpam-750	408	13	-	-	SYM
ejpam-750	408	14	947	947	NUM
ejpam-750	408	15	944	944	NUM
ejpam-750	408	16	since	since	SCONJ
ejpam-750	408	17	the	the	DET
ejpam-750	408	18	roots	root	NOUN
ejpam-750	408	19	of	of	ADP
ejpam-750	408	20	second	second	ADJ
ejpam-750	408	21	factor	factor	NOUN
ejpam-750	408	22	are	be	AUX
ejpam-750	408	23	imaginary	imaginary	ADJ
ejpam-750	408	24	,	,	PUNCT
ejpam-750	408	25	we	we	PRON
ejpam-750	408	26	deduce	deduce	VERB
ejpam-750	408	27	that	that	SCONJ
ejpam-750	408	28	x2−	x2−	PROPN
ejpam-750	408	29	50x	50x	NUM
ejpam-750	408	30	−	−	PROPN
ejpam-750	408	31	14	14	NUM
ejpam-750	408	32	p	p	NOUN
ejpam-750	408	33	13x	13x	NUM
ejpam-750	408	34	−	−	PROPN
ejpam-750	408	35	10	10	NUM
ejpam-750	408	36	p	p	NOUN
ejpam-750	408	37	13−	13−	NUM
ejpam-750	408	38	34=	34=	NUM
ejpam-750	408	39	0	0	NUM
ejpam-750	408	40	.	.	PUNCT
ejpam-750	409	1	(	(	PUNCT
ejpam-750	409	2	92	92	NUM
ejpam-750	409	3	)	)	PUNCT
ejpam-750	409	4	on	on	ADP
ejpam-750	409	5	solving	solve	VERB
ejpam-750	409	6	the	the	DET
ejpam-750	409	7	above	above	ADJ
ejpam-750	409	8	equation	equation	NOUN
ejpam-750	409	9	,	,	PUNCT
ejpam-750	409	10	we	we	PRON
ejpam-750	409	11	obtain	obtain	VERB
ejpam-750	409	12	(	(	PUNCT
ejpam-750	409	13	87	87	NUM
ejpam-750	409	14	)	)	PUNCT
ejpam-750	409	15	and	and	CCONJ
ejpam-750	409	16	(	(	PUNCT
ejpam-750	409	17	88	88	NUM
ejpam-750	409	18	)	)	PUNCT
ejpam-750	409	19	.	.	PUNCT
ejpam-750	410	1	theorem	theorem	VERB
ejpam-750	410	2	17	17	NUM
ejpam-750	410	3	.	.	PUNCT
ejpam-750	411	1	for	for	ADP
ejpam-750	411	2	any	any	DET
ejpam-750	411	3	positive	positive	ADJ
ejpam-750	411	4	real	real	ADJ
ejpam-750	411	5	number	number	NOUN
ejpam-750	411	6	n	n	CCONJ
ejpam-750	411	7	,	,	PUNCT
ejpam-750	411	8	we	we	PRON
ejpam-750	411	9	have	have	VERB
ejpam-750	411	10	n9	n9	PROPN
ejpam-750	411	11	+	+	SYM
ejpam-750	411	12	1	1	NUM
ejpam-750	411	13	n9	n9	PROPN
ejpam-750	411	14	−	−	PROPN
ejpam-750	411	15	36754	36754	NUM
ejpam-750	411	16	�	�	PROPN
ejpam-750	411	17	n8	n8	PROPN
ejpam-750	411	18	+	+	CCONJ
ejpam-750	411	19	1	1	NUM
ejpam-750	411	20	n8	n8	PROPN
ejpam-750	411	21	�	�	PROPN
ejpam-750	412	1	−	−	PROPN
ejpam-750	412	2	17	17	NUM
ejpam-750	412	3	�	�	PROPN
ejpam-750	412	4	n7	n7	PROPN
ejpam-750	412	5	+	+	CCONJ
ejpam-750	412	6	1	1	NUM
ejpam-750	412	7	n7	n7	PROPN
ejpam-750	412	8	�	�	PROPN
ejpam-750	412	9	�	�	PROPN
ejpam-750	412	10	1096631	1096631	NUM
ejpam-750	412	11	+	+	SYM
ejpam-750	412	12	1439104	1439104	NUM
ejpam-750	412	13	�	�	NOUN
ejpam-750	412	14	m	m	VERB
ejpam-750	412	15	+	+	NOUN
ejpam-750	412	16	1	1	NUM
ejpam-750	412	17	m	m	NOUN
ejpam-750	412	18	�	�	NOUN
ejpam-750	412	19	�	�	PROPN
ejpam-750	412	20	−	−	PROPN
ejpam-750	412	21	272	272	NUM
ejpam-750	412	22	�	�	PROPN
ejpam-750	412	23	n6	n6	PROPN
ejpam-750	412	24	+	+	CCONJ
ejpam-750	412	25	1	1	NUM
ejpam-750	412	26	n6	n6	PROPN
ejpam-750	412	27	�	�	PROPN
ejpam-750	412	28	�	�	PROPN
ejpam-750	412	29	2211163	2211163	NUM
ejpam-750	412	30	+	+	SYM
ejpam-750	412	31	3497080	3497080	NUM
ejpam-750	412	32	�	�	PROPN
ejpam-750	412	33	m2	m2	PROPN
ejpam-750	412	34	+	+	CCONJ
ejpam-750	412	35	1	1	NUM
ejpam-750	412	36	m2	m2	PROPN
ejpam-750	412	37	�	�	PROPN
ejpam-750	412	38	+	+	CCONJ
ejpam-750	412	39	5387580	5387580	NUM
ejpam-750	412	40	�	�	NOUN
ejpam-750	413	1	m	m	VERB
ejpam-750	413	2	+	+	NUM
ejpam-750	413	3	1	1	NUM
ejpam-750	413	4	m	m	NOUN
ejpam-750	413	5	�	�	NOUN
ejpam-750	413	6	�	�	PROPN
ejpam-750	413	7	+	+	CCONJ
ejpam-750	413	8	68	68	NUM
ejpam-750	413	9	�	�	PROPN
ejpam-750	413	10	n5	n5	PROPN
ejpam-750	413	11	+	+	CCONJ
ejpam-750	413	12	1	1	NUM
ejpam-750	413	13	n5	n5	PROPN
ejpam-750	413	14	�	�	PROPN
ejpam-750	413	15	�	�	PROPN
ejpam-750	413	16	79079901−	79079901−	NUM
ejpam-750	413	17	122218496	122218496	NUM
ejpam-750	413	18	�	�	PROPN
ejpam-750	413	19	m3	m3	PROPN
ejpam-750	413	20	+	+	CCONJ
ejpam-750	413	21	1	1	NUM
ejpam-750	413	22	m3	m3	PROPN
ejpam-750	413	23	�	�	PROPN
ejpam-750	414	1	−	−	NUM
ejpam-750	414	2	457635200	457635200	NUM
ejpam-750	414	3	�	�	PROPN
ejpam-750	414	4	m2	m2	PROPN
ejpam-750	414	5	+	+	CCONJ
ejpam-750	414	6	1	1	NUM
ejpam-750	414	7	m2	m2	PROPN
ejpam-750	414	8	�	�	PROPN
ejpam-750	414	9	−315106016	−315106016	PROPN
ejpam-750	414	10	�	�	PROPN
ejpam-750	414	11	m	m	PROPN
ejpam-750	414	12	+	+	PROPN
ejpam-750	414	13	1	1	NUM
ejpam-750	414	14	m	m	NOUN
ejpam-750	414	15	�	�	NOUN
ejpam-750	414	16	�	�	PROPN
ejpam-750	414	17	+	+	CCONJ
ejpam-750	414	18	136	136	NUM
ejpam-750	414	19	�	�	PROPN
ejpam-750	414	20	n4	n4	PROPN
ejpam-750	414	21	+	+	PROPN
ejpam-750	414	22	1	1	NUM
ejpam-750	414	23	n4	n4	PROPN
ejpam-750	414	24	�	�	PROPN
ejpam-750	414	25	�	�	PROPN
ejpam-750	414	26	2016688545−	2016688545−	NUM
ejpam-750	414	27	175729152	175729152	NUM
ejpam-750	414	28	�	�	PROPN
ejpam-750	414	29	m4	m4	PROPN
ejpam-750	414	30	+	+	CCONJ
ejpam-750	414	31	1	1	NUM
ejpam-750	414	32	m4	m4	PROPN
ejpam-750	414	33	�	�	PROPN
ejpam-750	414	34	−1272638464	−1272638464	PROPN
ejpam-750	414	35	�	�	PROPN
ejpam-750	414	36	m3	m3	PROPN
ejpam-750	414	37	+	+	CCONJ
ejpam-750	414	38	1	1	NUM
ejpam-750	414	39	m3	m3	PROPN
ejpam-750	414	40	�	�	PROPN
ejpam-750	414	41	−	−	PROPN
ejpam-750	414	42	2545031648	2545031648	NUM
ejpam-750	414	43	�	�	PROPN
ejpam-750	414	44	m2	m2	PROPN
ejpam-750	414	45	+	+	CCONJ
ejpam-750	414	46	1	1	NUM
ejpam-750	414	47	m2	m2	PROPN
ejpam-750	414	48	�	�	PROPN
ejpam-750	415	1	−	−	PROPN
ejpam-750	415	2	474633456	474633456	NUM
ejpam-750	415	3	�	�	PROPN
ejpam-750	416	1	m	m	VERB
ejpam-750	416	2	+	+	NUM
ejpam-750	416	3	1	1	NUM
ejpam-750	416	4	m	m	NOUN
ejpam-750	416	5	�	�	NOUN
ejpam-750	416	6	�	�	PROPN
ejpam-750	416	7	+	+	CCONJ
ejpam-750	416	8	68	68	NUM
ejpam-750	416	9	�	�	NOUN
ejpam-750	416	10	n3	n3	NOUN
ejpam-750	416	11	+	+	CCONJ
ejpam-750	416	12	1	1	NUM
ejpam-750	416	13	m3	m3	PROPN
ejpam-750	416	14	�	�	PROPN
ejpam-750	416	15	�	�	PROPN
ejpam-750	416	16	39729209249−	39729209249−	NUM
ejpam-750	416	17	376569856	376569856	NUM
ejpam-750	416	18	�	�	PROPN
ejpam-750	416	19	m5	m5	PROPN
ejpam-750	416	20	+	+	CCONJ
ejpam-750	416	21	1	1	NUM
ejpam-750	416	22	m5	m5	PROPN
ejpam-750	416	23	�	�	PROPN
ejpam-750	416	24	+	+	CCONJ
ejpam-750	416	25	8138517728	8138517728	NUM
ejpam-750	416	26	�	�	NOUN
ejpam-750	416	27	m	m	VERB
ejpam-750	416	28	+	+	NOUN
ejpam-750	416	29	1	1	NUM
ejpam-750	416	30	m	m	NOUN
ejpam-750	416	31	�	�	PROPN
ejpam-750	416	32	−26565147264	−26565147264	NOUN
ejpam-750	416	33	�	�	PROPN
ejpam-750	416	34	m2	m2	PROPN
ejpam-750	416	35	+	+	CCONJ
ejpam-750	416	36	1	1	NUM
ejpam-750	416	37	m2	m2	PROPN
ejpam-750	416	38	�	�	PROPN
ejpam-750	416	39	−	−	PROPN
ejpam-750	416	40	19377880064	19377880064	NUM
ejpam-750	416	41	�	�	PROPN
ejpam-750	416	42	m3	m3	PROPN
ejpam-750	416	43	+	+	CCONJ
ejpam-750	416	44	1	1	NUM
ejpam-750	416	45	m3	m3	PROPN
ejpam-750	416	46	�	�	PROPN
ejpam-750	416	47	−	−	PROPN
ejpam-750	416	48	4742540288	4742540288	NUM
ejpam-750	416	49	�	�	PROPN
ejpam-750	416	50	m4	m4	PROPN
ejpam-750	416	51	+	+	CCONJ
ejpam-750	416	52	1	1	NUM
ejpam-750	416	53	m4	m4	PROPN
ejpam-750	416	54	�	�	PROPN
ejpam-750	416	55	�	�	PROPN
ejpam-750	416	56	+	+	CCONJ
ejpam-750	416	57	272	272	NUM
ejpam-750	416	58	�	�	PROPN
ejpam-750	416	59	n2	n2	NOUN
ejpam-750	416	60	+	+	CCONJ
ejpam-750	416	61	1	1	NUM
ejpam-750	416	62	n2	n2	PROPN
ejpam-750	416	63	�	�	PROPN
ejpam-750	416	64	�	�	PROPN
ejpam-750	416	65	43899000931−	43899000931−	NUM
ejpam-750	416	66	36667392	36667392	NUM
ejpam-750	416	67	�	�	PROPN
ejpam-750	416	68	m6	m6	PROPN
ejpam-750	416	69	+	+	CCONJ
ejpam-750	416	70	1	1	NUM
ejpam-750	416	71	m6	m6	PROPN
ejpam-750	416	72	�	�	PROPN
ejpam-750	416	73	+	+	CCONJ
ejpam-750	416	74	15986915068	15986915068	NUM
ejpam-750	416	75	�	�	NOUN
ejpam-750	416	76	m	m	VERB
ejpam-750	417	1	+	+	NOUN
ejpam-750	417	2	1	1	NUM
ejpam-750	417	3	m	m	NOUN
ejpam-750	417	4	�	�	PROPN
ejpam-750	417	5	−19039820680	−19039820680	PROPN
ejpam-750	417	6	�	�	PROPN
ejpam-750	417	7	m2	m2	PROPN
ejpam-750	417	8	+	+	CCONJ
ejpam-750	417	9	1	1	NUM
ejpam-750	417	10	m2	m2	PROPN
ejpam-750	417	11	�	�	PROPN
ejpam-750	417	12	−	−	PROPN
ejpam-750	417	13	1839544448	1839544448	NUM
ejpam-750	417	14	�	�	PROPN
ejpam-750	417	15	m3	m3	PROPN
ejpam-750	417	16	+	+	CCONJ
ejpam-750	417	17	1	1	NUM
ejpam-750	417	18	m3	m3	PROPN
ejpam-750	417	19	�	�	PROPN
ejpam-750	417	20	−	−	PROPN
ejpam-750	417	21	5914737152	5914737152	NUM
ejpam-750	417	22	�	�	PROPN
ejpam-750	417	23	m4	m4	PROPN
ejpam-750	417	24	+	+	CCONJ
ejpam-750	417	25	1	1	NUM
ejpam-750	417	26	m4	m4	PROPN
ejpam-750	417	27	�	�	PROPN
ejpam-750	417	28	−798507008	−798507008	PROPN
ejpam-750	417	29	�	�	PROPN
ejpam-750	417	30	m5	m5	PROPN
ejpam-750	417	31	+	+	CCONJ
ejpam-750	417	32	1	1	NUM
ejpam-750	417	33	m5	m5	PROPN
ejpam-750	417	34	�	�	NOUN
ejpam-750	417	35	�	�	PROPN
ejpam-750	417	36	+	+	CCONJ
ejpam-750	417	37	34	34	NUM
ejpam-750	417	38	�	�	PROPN
ejpam-750	417	39	n	n	CCONJ
ejpam-750	417	40	+	+	CCONJ
ejpam-750	417	41	1	1	NUM
ejpam-750	417	42	n	n	PRON
ejpam-750	417	43	�	�	PROPN
ejpam-750	417	44	�	�	PROPN
ejpam-750	417	45	821963657831	821963657831	NUM
ejpam-750	417	46	+	+	SYM
ejpam-750	417	47	355272255168	355272255168	NUM
ejpam-750	417	48	�	�	NOUN
ejpam-750	417	49	m	m	VERB
ejpam-750	417	50	+	+	NOUN
ejpam-750	417	51	1	1	NUM
ejpam-750	417	52	m	m	NOUN
ejpam-750	417	53	�	�	PROPN
ejpam-750	417	54	−269114179584	−269114179584	PROPN
ejpam-750	417	55	�	�	PROPN
ejpam-750	417	56	m2	m2	PROPN
ejpam-750	417	57	+	+	CCONJ
ejpam-750	417	58	1	1	NUM
ejpam-750	417	59	m2	m2	PROPN
ejpam-750	417	60	�	�	PROPN
ejpam-750	417	61	−	−	PROPN
ejpam-750	417	62	312310413312	312310413312	NUM
ejpam-750	417	63	�	�	PROPN
ejpam-750	417	64	m3	m3	PROPN
ejpam-750	417	65	+	+	CCONJ
ejpam-750	417	66	1	1	NUM
ejpam-750	417	67	m3	m3	PROPN
ejpam-750	417	68	�	�	PROPN
ejpam-750	417	69	−	−	PROPN
ejpam-750	417	70	1424490496	1424490496	NUM
ejpam-750	417	71	�	�	PROPN
ejpam-750	417	72	m6	m6	PROPN
ejpam-750	417	73	+	+	CCONJ
ejpam-750	417	74	1	1	NUM
ejpam-750	417	75	m6	m6	ADJ
ejpam-750	417	76	�	�	PROPN
ejpam-750	417	77	−1161388787976	−1161388787976	PROPN
ejpam-750	417	78	�	�	PROPN
ejpam-750	417	79	m4	m4	PROPN
ejpam-750	417	80	+	+	CCONJ
ejpam-750	417	81	1	1	NUM
ejpam-750	417	82	m4	m4	PROPN
ejpam-750	417	83	�	�	PROPN
ejpam-750	417	84	−	−	PROPN
ejpam-750	417	85	19523174400	19523174400	NUM
ejpam-750	417	86	�	�	PROPN
ejpam-750	417	87	m5	m5	PROPN
ejpam-750	417	88	+	+	CCONJ
ejpam-750	417	89	1	1	NUM
ejpam-750	417	90	m5	m5	PROPN
ejpam-750	417	91	�	�	PROPN
ejpam-750	417	92	−	−	PROPN
ejpam-750	417	93	33554432	33554432	NUM
ejpam-750	417	94	�	�	PROPN
ejpam-750	417	95	m7	m7	PROPN
ejpam-750	417	96	+	+	CCONJ
ejpam-750	417	97	1	1	NUM
ejpam-750	417	98	m7	m7	PROPN
ejpam-750	417	99	�	�	PROPN
ejpam-750	417	100	�	�	PROPN
ejpam-750	417	101	−	−	PROPN
ejpam-750	417	102	1088	1088	NUM
ejpam-750	417	103	p	p	NOUN
ejpam-750	417	104	2	2	NUM
ejpam-750	417	105	�	�	PROPN
ejpam-750	417	106	p	p	NOUN
ejpam-750	417	107	n	n	NOUN
ejpam-750	417	108	+	+	CCONJ
ejpam-750	417	109	1p	1p	NUM
ejpam-750	417	110	n	n	DET
ejpam-750	417	111	�	�	PROPN
ejpam-750	417	112			PROPN
ejpam-750	417	113			PROPN
ejpam-750	417	114			PROPN
ejpam-750	417	115	18819607015	18819607015	NUM
ejpam-750	417	116	�	�	PROPN
ejpam-750	417	117	p	p	NOUN
ejpam-750	417	118	m	m	PROPN
ejpam-750	417	119	+	+	X
ejpam-750	417	120	1p	1p	NUM
ejpam-750	417	121	m	m	PROPN
ejpam-750	417	122	�	�	PROPN
ejpam-750	417	123	+	+	CCONJ
ejpam-750	417	124	160886420	160886420	NUM
ejpam-750	417	125			NOUN
ejpam-750	417	126			NOUN
ejpam-750	417	127	p	p	PRON
ejpam-750	417	128	m3	m3	PROPN
ejpam-750	417	129	+	+	CCONJ
ejpam-750	417	130	1	1	NUM
ejpam-750	417	131	p	p	NOUN
ejpam-750	417	132	m3	m3	PROPN
ejpam-750	417	133			PROPN
ejpam-750	417	134			PROPN
ejpam-750	417	135	−9319051040	−9319051040	ADJ
ejpam-750	417	136			NOUN
ejpam-750	417	137			NOUN
ejpam-750	417	138	p	p	X
ejpam-750	417	139	m5	m5	PROPN
ejpam-750	417	140	+	+	CCONJ
ejpam-750	417	141	1	1	NUM
ejpam-750	417	142	p	p	NOUN
ejpam-750	417	143	m5	m5	PROPN
ejpam-750	417	144			PROPN
ejpam-750	417	145	−	−	PROPN
ejpam-750	417	146	5712220160	5712220160	NUM
ejpam-750	417	147			NOUN
ejpam-750	417	148			NOUN
ejpam-750	417	149	p	p	PROPN
ejpam-750	417	150	m7	m7	PROPN
ejpam-750	417	151	+	+	CCONJ
ejpam-750	417	152	1	1	NUM
ejpam-750	417	153	p	p	NOUN
ejpam-750	417	154	m7	m7	PROPN
ejpam-750	417	155			PROPN
ejpam-750	417	156	−	−	PROPN
ejpam-750	417	157	1472778240	1472778240	NUM
ejpam-750	417	158	�	�	PROPN
ejpam-750	417	159	p	p	PROPN
ejpam-750	417	160	m9	m9	PROPN
ejpam-750	417	161	+	+	CCONJ
ejpam-750	417	162	1	1	NUM
ejpam-750	417	163	p	p	NOUN
ejpam-750	417	164	m9	m9	PROPN
ejpam-750	417	165			PROPN
ejpam-750	417	166	−	−	PROPN
ejpam-750	417	167	176758784	176758784	NUM
ejpam-750	417	168			NOUN
ejpam-750	417	169			NOUN
ejpam-750	417	170	p	p	NOUN
ejpam-750	417	171	m11	m11	NOUN
ejpam-750	417	172	+	+	CCONJ
ejpam-750	417	173	1	1	NUM
ejpam-750	417	174	p	p	NOUN
ejpam-750	417	175	m11	m11	NOUN
ejpam-750	417	176			PROPN
ejpam-750	417	177	−	−	PROPN
ejpam-750	417	178	8912896	8912896	NUM
ejpam-750	417	179			NOUN
ejpam-750	417	180			NOUN
ejpam-750	417	181	p	p	NOUN
ejpam-750	417	182	m13	m13	NOUN
ejpam-750	417	183	+	+	CCONJ
ejpam-750	417	184	1	1	NUM
ejpam-750	417	185	p	p	NOUN
ejpam-750	417	186	m13	m13	NUM
ejpam-750	417	187			PROPN
ejpam-750	417	188			PROPN
ejpam-750	417	189	m.	m.	NOUN
ejpam-750	417	190	naika	naika	NOUN
ejpam-750	417	191	,	,	PUNCT
ejpam-750	417	192	k.	k.	PROPN
ejpam-750	417	193	bairy	bairy	PROPN
ejpam-750	417	194	,	,	PUNCT
ejpam-750	417	195	m.	m.	NOUN
ejpam-750	417	196	manjunatha	manjunatha	PROPN
ejpam-750	417	197	/	/	SYM
ejpam-750	417	198	eur	eur	PROPN
ejpam-750	417	199	.	.	PUNCT
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ejpam-750	418	2	pure	pure	PROPN
ejpam-750	418	3	appl	appl	PROPN
ejpam-750	418	4	.	.	PROPN
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ejpam-750	418	6	,	,	PUNCT
ejpam-750	418	7	3	3	NUM
ejpam-750	418	8	(	(	PUNCT
ejpam-750	418	9	2010	2010	NUM
ejpam-750	418	10	)	)	PUNCT
ejpam-750	418	11	,	,	PUNCT
ejpam-750	418	12	924	924	NUM
ejpam-750	418	13	-	-	SYM
ejpam-750	418	14	947	947	NUM
ejpam-750	418	15	945	945	NUM
ejpam-750	418	16	−131072	−131072	NOUN
ejpam-750	418	17			NOUN
ejpam-750	418	18			NOUN
ejpam-750	418	19	p	p	NOUN
ejpam-750	418	20	m15	m15	NOUN
ejpam-750	418	21	+	+	CCONJ
ejpam-750	418	22	1	1	NUM
ejpam-750	418	23	p	p	NOUN
ejpam-750	418	24	m15	m15	NOUN
ejpam-750	418	25			PROPN
ejpam-750	418	26			PROPN
ejpam-750	418	27			PROPN
ejpam-750	418	28			PROPN
ejpam-750	418	29			NOUN
ejpam-750	418	30	−	−	PROPN
ejpam-750	418	31	544	544	NUM
ejpam-750	418	32	p	p	NOUN
ejpam-750	418	33	2	2	NUM
ejpam-750	418	34			NOUN
ejpam-750	418	35			NOUN
ejpam-750	418	36	p	p	NOUN
ejpam-750	418	37	n3	n3	NOUN
ejpam-750	418	38	+	+	CCONJ
ejpam-750	418	39	1	1	NUM
ejpam-750	418	40	p	p	NOUN
ejpam-750	418	41	n3	n3	NOUN
ejpam-750	418	42			PROPN
ejpam-750	418	43			PROPN
ejpam-750	418	44	�	�	PROPN
ejpam-750	418	45	21182793502	21182793502	NUM
ejpam-750	418	46	�	�	PROPN
ejpam-750	418	47	p	p	NOUN
ejpam-750	418	48	m	m	PROPN
ejpam-750	418	49	+	+	X
ejpam-750	418	50	1p	1p	NUM
ejpam-750	418	51	m	m	PROPN
ejpam-750	418	52	�	�	PROPN
ejpam-750	418	53	−	−	PROPN
ejpam-750	418	54	1448653562	1448653562	NUM
ejpam-750	418	55			PROPN
ejpam-750	418	56			NOUN
ejpam-750	418	57	p	p	PRON
ejpam-750	418	58	m3	m3	PROPN
ejpam-750	418	59	+	+	CCONJ
ejpam-750	418	60	1	1	NUM
ejpam-750	418	61	p	p	NOUN
ejpam-750	418	62	m3	m3	PROPN
ejpam-750	418	63			PROPN
ejpam-750	418	64	−	−	PROPN
ejpam-750	418	65	11883595968	11883595968	NUM
ejpam-750	418	66			NOUN
ejpam-750	418	67			NOUN
ejpam-750	418	68	p	p	X
ejpam-750	418	69	m5	m5	PROPN
ejpam-750	418	70	+	+	CCONJ
ejpam-750	418	71	1	1	NUM
ejpam-750	418	72	p	p	NOUN
ejpam-750	418	73	m5	m5	PROPN
ejpam-750	418	74			PROPN
ejpam-750	418	75	−	−	PROPN
ejpam-750	418	76	6661781632	6661781632	NUM
ejpam-750	418	77	�	�	PROPN
ejpam-750	418	78	p	p	NOUN
ejpam-750	418	79	m7	m7	NOUN
ejpam-750	418	80	+	+	CCONJ
ejpam-750	418	81	1	1	NUM
ejpam-750	418	82	p	p	NOUN
ejpam-750	418	83	m7	m7	PROPN
ejpam-750	418	84			PROPN
ejpam-750	418	85	−	−	PROPN
ejpam-750	418	86	1545576448	1545576448	NUM
ejpam-750	418	87			NOUN
ejpam-750	418	88			NOUN
ejpam-750	418	89	p	p	PROPN
ejpam-750	418	90	m9	m9	PROPN
ejpam-750	418	91	+	+	CCONJ
ejpam-750	418	92	1	1	NUM
ejpam-750	418	93	p	p	NOUN
ejpam-750	418	94	m9	m9	PROPN
ejpam-750	418	95			PROPN
ejpam-750	418	96	−	−	PROPN
ejpam-750	418	97	155148288	155148288	NUM
ejpam-750	418	98			NOUN
ejpam-750	418	99			NOUN
ejpam-750	418	100	p	p	NOUN
ejpam-750	418	101	m11	m11	NOUN
ejpam-750	418	102	+	+	CCONJ
ejpam-750	418	103	1	1	NUM
ejpam-750	418	104	p	p	NOUN
ejpam-750	418	105	m11	m11	NOUN
ejpam-750	418	106			PROPN
ejpam-750	418	107			PROPN
ejpam-750	418	108	−5242880	−5242880	NOUN
ejpam-750	418	109			NOUN
ejpam-750	418	110			NOUN
ejpam-750	418	111	p	p	NOUN
ejpam-750	418	112	m13	m13	NOUN
ejpam-750	419	1	+	+	CCONJ
ejpam-750	419	2	1	1	NUM
ejpam-750	419	3	p	p	NOUN
ejpam-750	419	4	m13	m13	NUM
ejpam-750	419	5			PROPN
ejpam-750	419	6			PROPN
ejpam-750	419	7			PROPN
ejpam-750	419	8			PROPN
ejpam-750	419	9			NOUN
ejpam-750	419	10	−	−	PROPN
ejpam-750	419	11	544	544	NUM
ejpam-750	419	12	p	p	NOUN
ejpam-750	419	13	2	2	NUM
ejpam-750	419	14			NOUN
ejpam-750	419	15			NOUN
ejpam-750	419	16	p	p	PROPN
ejpam-750	419	17	n5	n5	PROPN
ejpam-750	419	18	+	+	CCONJ
ejpam-750	419	19	1	1	NUM
ejpam-750	419	20	p	p	NOUN
ejpam-750	419	21	n5	n5	NUM
ejpam-750	419	22			PROPN
ejpam-750	419	23			PROPN
ejpam-750	419	24	�	�	PROPN
ejpam-750	419	25	6400381178	6400381178	NUM
ejpam-750	419	26	�	�	PROPN
ejpam-750	419	27	p	p	NOUN
ejpam-750	419	28	m	m	PROPN
ejpam-750	419	29	+	+	X
ejpam-750	419	30	1p	1p	NUM
ejpam-750	419	31	m	m	NUM
ejpam-750	419	32	�	�	PROPN
ejpam-750	419	33	−1733476258	−1733476258	PROPN
ejpam-750	419	34			PROPN
ejpam-750	419	35			NOUN
ejpam-750	419	36	p	p	PRON
ejpam-750	419	37	m3	m3	PROPN
ejpam-750	419	38	+	+	CCONJ
ejpam-750	419	39	1	1	NUM
ejpam-750	419	40	p	p	NOUN
ejpam-750	419	41	m3	m3	PROPN
ejpam-750	419	42			PROPN
ejpam-750	419	43	−	−	PROPN
ejpam-750	419	44	4641769920	4641769920	NUM
ejpam-750	419	45			NOUN
ejpam-750	419	46			NOUN
ejpam-750	419	47	p	p	PROPN
ejpam-750	419	48	m5	m5	PROPN
ejpam-750	419	49	+	+	CCONJ
ejpam-750	419	50	1	1	NUM
ejpam-750	419	51	p	p	NOUN
ejpam-750	419	52	m5	m5	PROPN
ejpam-750	419	53			PROPN
ejpam-750	419	54	−	−	PROPN
ejpam-750	419	55	2164026240	2164026240	NUM
ejpam-750	419	56	�	�	PROPN
ejpam-750	419	57	p	p	PROPN
ejpam-750	419	58	m7	m7	PROPN
ejpam-750	419	59	+	+	CCONJ
ejpam-750	419	60	1	1	NUM
ejpam-750	419	61	p	p	NOUN
ejpam-750	419	62	m7	m7	PROPN
ejpam-750	419	63			PROPN
ejpam-750	419	64	−	−	PROPN
ejpam-750	419	65	391159808	391159808	NUM
ejpam-750	419	66			NOUN
ejpam-750	419	67			NOUN
ejpam-750	419	68	p	p	PROPN
ejpam-750	419	69	m9	m9	PROPN
ejpam-750	419	70	+	+	CCONJ
ejpam-750	419	71	1	1	NUM
ejpam-750	419	72	p	p	NOUN
ejpam-750	419	73	m9	m9	PROPN
ejpam-750	419	74			PROPN
ejpam-750	419	75	−	−	PROPN
ejpam-750	419	76	23748608	23748608	NUM
ejpam-750	419	77			NOUN
ejpam-750	419	78			NOUN
ejpam-750	419	79	p	p	NOUN
ejpam-750	419	80	m11	m11	NOUN
ejpam-750	419	81	+	+	CCONJ
ejpam-750	419	82	1	1	NUM
ejpam-750	419	83	p	p	NOUN
ejpam-750	419	84	m11	m11	NOUN
ejpam-750	419	85			PROPN
ejpam-750	419	86			PROPN
ejpam-750	419	87			PROPN
ejpam-750	419	88			PROPN
ejpam-750	419	89			NOUN
ejpam-750	419	90	−	−	PROPN
ejpam-750	419	91	1088	1088	NUM
ejpam-750	419	92	p	p	NOUN
ejpam-750	419	93	2	2	NUM
ejpam-750	419	94			NOUN
ejpam-750	419	95			NOUN
ejpam-750	419	96	p	p	PROPN
ejpam-750	419	97	n7	n7	PROPN
ejpam-750	419	98	+	+	CCONJ
ejpam-750	419	99	1	1	NUM
ejpam-750	419	100	p	p	NOUN
ejpam-750	419	101	n7	n7	PROPN
ejpam-750	419	102			PROPN
ejpam-750	419	103			SYM
ejpam-750	419	104			NOUN
ejpam-750	419	105			ADP
ejpam-750	419	106			ADJ
ejpam-750	419	107	450392085	450392085	NUM
ejpam-750	419	108	�	�	PROPN
ejpam-750	419	109	p	p	NOUN
ejpam-750	419	110	m	m	PROPN
ejpam-750	419	111	+	+	X
ejpam-750	419	112	1p	1p	NUM
ejpam-750	419	113	m	m	PROPN
ejpam-750	419	114	�	�	NOUN
ejpam-750	419	115	−	−	PROPN
ejpam-750	419	116	370969698	370969698	NUM
ejpam-750	419	117			PROPN
ejpam-750	419	118			NOUN
ejpam-750	419	119	p	p	PRON
ejpam-750	419	120	m3	m3	PROPN
ejpam-750	419	121	+	+	CCONJ
ejpam-750	419	122	1	1	NUM
ejpam-750	419	123	p	p	NOUN
ejpam-750	419	124	m3	m3	PROPN
ejpam-750	420	1			PROPN
ejpam-750	420	2			PROPN
ejpam-750	420	3	−	−	PROPN
ejpam-750	420	4	512015264	512015264	NUM
ejpam-750	420	5			NOUN
ejpam-750	420	6			NOUN
ejpam-750	420	7	p	p	X
ejpam-750	420	8	m5	m5	PROPN
ejpam-750	420	9	+	+	CCONJ
ejpam-750	420	10	1	1	NUM
ejpam-750	420	11	p	p	NOUN
ejpam-750	420	12	m5	m5	PROPN
ejpam-750	420	13			PROPN
ejpam-750	420	14	−	−	PROPN
ejpam-750	420	15	174563936	174563936	NUM
ejpam-750	420	16			NOUN
ejpam-750	420	17			NOUN
ejpam-750	420	18	p	p	PROPN
ejpam-750	420	19	m7	m7	PROPN
ejpam-750	420	20	+	+	CCONJ
ejpam-750	420	21	1	1	NUM
ejpam-750	420	22	p	p	NOUN
ejpam-750	420	23	m7	m7	PROPN
ejpam-750	420	24			PROPN
ejpam-750	420	25	−	−	PROPN
ejpam-750	420	26	18157568	18157568	NUM
ejpam-750	420	27	�	�	PROPN
ejpam-750	420	28	p	p	PROPN
ejpam-750	420	29	m9	m9	PROPN
ejpam-750	420	30	+	+	CCONJ
ejpam-750	420	31	1	1	NUM
ejpam-750	420	32	p	p	NOUN
ejpam-750	420	33	m9	m9	PROPN
ejpam-750	420	34			PROPN
ejpam-750	420	35			PROPN
ejpam-750	420	36			PROPN
ejpam-750	420	37			PROPN
ejpam-750	420	38			NOUN
ejpam-750	420	39	−	−	PROPN
ejpam-750	420	40	1088	1088	NUM
ejpam-750	420	41	p	p	NOUN
ejpam-750	420	42	2	2	NUM
ejpam-750	420	43			NOUN
ejpam-750	420	44			NOUN
ejpam-750	420	45	p	p	X
ejpam-750	420	46	n9	n9	PROPN
ejpam-750	420	47	+	+	CCONJ
ejpam-750	420	48	1	1	NUM
ejpam-750	420	49	p	p	NOUN
ejpam-750	420	50	n9	n9	PROPN
ejpam-750	420	51			PROPN
ejpam-750	420	52			PROPN
ejpam-750	420	53	�	�	PROPN
ejpam-750	420	54	14667567	14667567	NUM
ejpam-750	420	55	�	�	PROPN
ejpam-750	420	56	p	p	NOUN
ejpam-750	420	57	m	m	PROPN
ejpam-750	420	58	+	+	X
ejpam-750	420	59	1p	1p	NUM
ejpam-750	420	60	m	m	PROPN
ejpam-750	420	61	�	�	PROPN
ejpam-750	420	62	−	−	PROPN
ejpam-750	420	63	69197970	69197970	NUM
ejpam-750	420	64	�	�	PROPN
ejpam-750	420	65	p	p	NOUN
ejpam-750	420	66	m3	m3	PROPN
ejpam-750	420	67	+	+	CCONJ
ejpam-750	420	68	1	1	NUM
ejpam-750	420	69	p	p	NOUN
ejpam-750	420	70	m3	m3	PROPN
ejpam-750	420	71			PROPN
ejpam-750	420	72	−	−	PROPN
ejpam-750	420	73	55297472	55297472	NUM
ejpam-750	420	74			NOUN
ejpam-750	420	75			NOUN
ejpam-750	420	76	p	p	PROPN
ejpam-750	420	77	m5	m5	PROPN
ejpam-750	420	78	+	+	CCONJ
ejpam-750	420	79	1	1	NUM
ejpam-750	420	80	p	p	NOUN
ejpam-750	420	81	m5	m5	PROPN
ejpam-750	420	82			PROPN
ejpam-750	420	83	−	−	PROPN
ejpam-750	420	84	10402720	10402720	NUM
ejpam-750	420	85			NOUN
ejpam-750	420	86			NOUN
ejpam-750	420	87	p	p	PROPN
ejpam-750	420	88	m7	m7	PROPN
ejpam-750	420	89	+	+	CCONJ
ejpam-750	420	90	1	1	NUM
ejpam-750	420	91	p	p	NOUN
ejpam-750	420	92	m7	m7	NOUN
ejpam-750	420	93			PROPN
ejpam-750	420	94			PROPN
ejpam-750	420	95			PROPN
ejpam-750	420	96			PROPN
ejpam-750	420	97			NOUN
ejpam-750	420	98	+	+	CCONJ
ejpam-750	420	99	544	544	NUM
ejpam-750	420	100	p	p	ADJ
ejpam-750	420	101	2	2	NUM
ejpam-750	420	102			NOUN
ejpam-750	420	103			NOUN
ejpam-750	420	104	p	p	X
ejpam-750	420	105	n11	n11	PROPN
ejpam-750	420	106	+	+	CCONJ
ejpam-750	420	107	1	1	NUM
ejpam-750	420	108	p	p	NOUN
ejpam-750	420	109	n11	n11	NOUN
ejpam-750	420	110			PROPN
ejpam-750	420	111			SYM
ejpam-750	420	112			NOUN
ejpam-750	420	113			ADP
ejpam-750	420	114			PROPN
ejpam-750	420	115	3837042	3837042	NUM
ejpam-750	420	116	�	�	PROPN
ejpam-750	420	117	p	p	NOUN
ejpam-750	420	118	m	m	PROPN
ejpam-750	420	119	+	+	X
ejpam-750	420	120	1p	1p	NUM
ejpam-750	420	121	m	m	PROPN
ejpam-750	420	122	�	�	NOUN
ejpam-750	420	123	+	+	NUM
ejpam-750	420	124	10601102	10601102	NUM
ejpam-750	420	125			NOUN
ejpam-750	420	126			NOUN
ejpam-750	420	127	p	p	DET
ejpam-750	420	128	m3	m3	PROPN
ejpam-750	421	1	+	+	CCONJ
ejpam-750	421	2	1	1	NUM
ejpam-750	421	3	p	p	NOUN
ejpam-750	421	4	m3	m3	PROPN
ejpam-750	422	1			PROPN
ejpam-750	422	2			PROPN
ejpam-750	422	3	+4263040	+4263040	NUM
ejpam-750	422	4			NOUN
ejpam-750	422	5			NOUN
ejpam-750	422	6	p	p	X
ejpam-750	422	7	m5	m5	PROPN
ejpam-750	422	8	+	+	CCONJ
ejpam-750	422	9	1	1	NUM
ejpam-750	422	10	p	p	NOUN
ejpam-750	422	11	m5	m5	NOUN
ejpam-750	422	12			PROPN
ejpam-750	422	13			PROPN
ejpam-750	422	14			NOUN
ejpam-750	422	15			PROPN
ejpam-750	422	16			NOUN
ejpam-750	422	17	+	+	CCONJ
ejpam-750	422	18	1632	1632	NUM
ejpam-750	422	19	p	p	NOUN
ejpam-750	422	20	2	2	NUM
ejpam-750	422	21			NOUN
ejpam-750	422	22			NOUN
ejpam-750	422	23	p	p	X
ejpam-750	422	24	n13	n13	PROPN
ejpam-750	422	25	+	+	CCONJ
ejpam-750	422	26	1	1	NUM
ejpam-750	422	27	p	p	NOUN
ejpam-750	422	28	n13	n13	NUM
ejpam-750	422	29			PROPN
ejpam-750	422	30			PROPN
ejpam-750	422	31	�	�	PROPN
ejpam-750	422	32	78306	78306	NUM
ejpam-750	422	33	�	�	PROPN
ejpam-750	422	34	p	p	NOUN
ejpam-750	422	35	m	m	PROPN
ejpam-750	422	36	+	+	X
ejpam-750	422	37	1p	1p	NUM
ejpam-750	422	38	m	m	PROPN
ejpam-750	422	39	�	�	PROPN
ejpam-750	422	40	m.	m.	NOUN
ejpam-750	422	41	naika	naika	PROPN
ejpam-750	422	42	,	,	PUNCT
ejpam-750	422	43	k.	k.	PROPN
ejpam-750	422	44	bairy	bairy	PROPN
ejpam-750	422	45	,	,	PUNCT
ejpam-750	422	46	m.	m.	NOUN
ejpam-750	422	47	manjunatha	manjunatha	PROPN
ejpam-750	422	48	/	/	SYM
ejpam-750	422	49	eur	eur	PROPN
ejpam-750	422	50	.	.	PUNCT
ejpam-750	423	1	j.	j.	PROPN
ejpam-750	423	2	pure	pure	PROPN
ejpam-750	423	3	appl	appl	PROPN
ejpam-750	423	4	.	.	PROPN
ejpam-750	423	5	math	math	PROPN
ejpam-750	423	6	,	,	PUNCT
ejpam-750	423	7	3	3	NUM
ejpam-750	423	8	(	(	PUNCT
ejpam-750	423	9	2010	2010	NUM
ejpam-750	423	10	)	)	PUNCT
ejpam-750	423	11	,	,	PUNCT
ejpam-750	423	12	924	924	NUM
ejpam-750	423	13	-	-	SYM
ejpam-750	423	14	947	947	NUM
ejpam-750	423	15	946	946	NUM
ejpam-750	423	16	+83122	+83122	NUM
ejpam-750	423	17			NOUN
ejpam-750	423	18			NOUN
ejpam-750	423	19	p	p	PROPN
ejpam-750	423	20	m3	m3	PROPN
ejpam-750	423	21	+	+	CCONJ
ejpam-750	423	22	1	1	NUM
ejpam-750	423	23	p	p	NOUN
ejpam-750	423	24	m3	m3	PROPN
ejpam-750	423	25			PROPN
ejpam-750	423	26			PROPN
ejpam-750	423	27			PROPN
ejpam-750	423	28			PROPN
ejpam-750	423	29			NOUN
ejpam-750	423	30	+	+	CCONJ
ejpam-750	423	31	1160896	1160896	NUM
ejpam-750	423	32	p	p	ADJ
ejpam-750	423	33	2	2	NUM
ejpam-750	423	34			NOUN
ejpam-750	423	35			NOUN
ejpam-750	423	36	p	p	X
ejpam-750	423	37	n15	n15	PROPN
ejpam-750	423	38	+	+	CCONJ
ejpam-750	423	39	1	1	NUM
ejpam-750	423	40	p	p	NOUN
ejpam-750	423	41	n15	n15	NOUN
ejpam-750	423	42			PROPN
ejpam-750	423	43			PROPN
ejpam-750	423	44	�	�	PROPN
ejpam-750	423	45	p	p	NOUN
ejpam-750	423	46	m	m	PROPN
ejpam-750	423	47	+	+	X
ejpam-750	423	48	1p	1p	NUM
ejpam-750	423	49	m	m	PROPN
ejpam-750	423	50	�	�	NOUN
ejpam-750	423	51	=	=	SYM
ejpam-750	423	52	128	128	NUM
ejpam-750	423	53	�	�	PROPN
ejpam-750	423	54	131072	131072	NUM
ejpam-750	423	55	�	�	PROPN
ejpam-750	423	56	m8	m8	PROPN
ejpam-750	423	57	+	+	CCONJ
ejpam-750	423	58	1	1	NUM
ejpam-750	423	59	m8	m8	PROPN
ejpam-750	423	60	�	�	PROPN
ejpam-750	423	61	+	+	CCONJ
ejpam-750	423	62	18939904	18939904	NUM
ejpam-750	423	63	�	�	PROPN
ejpam-750	423	64	m7	m7	PROPN
ejpam-750	423	65	+	+	CCONJ
ejpam-750	423	66	1	1	NUM
ejpam-750	423	67	m7	m7	PROPN
ejpam-750	423	68	�	�	PROPN
ejpam-750	423	69	+	+	CCONJ
ejpam-750	423	70	106103083008	106103083008	NUM
ejpam-750	423	71	�	�	PROPN
ejpam-750	423	72	m3	m3	PROPN
ejpam-750	423	73	+	+	CCONJ
ejpam-750	423	74	1	1	NUM
ejpam-750	423	75	m3	m3	PROPN
ejpam-750	423	76	�	�	PROPN
ejpam-750	423	77	+	+	CCONJ
ejpam-750	423	78	604823552	604823552	NUM
ejpam-750	423	79	�	�	PROPN
ejpam-750	423	80	m6	m6	ADJ
ejpam-750	423	81	+	+	CCONJ
ejpam-750	423	82	1	1	NUM
ejpam-750	423	83	m6	m6	PROPN
ejpam-750	423	84	�	�	PROPN
ejpam-750	423	85	+	+	CCONJ
ejpam-750	423	86	7384821760	7384821760	NUM
ejpam-750	423	87	�	�	PROPN
ejpam-750	423	88	m5	m5	NOUN
ejpam-750	423	89	+	+	CCONJ
ejpam-750	423	90	1	1	NUM
ejpam-750	423	91	m5	m5	PROPN
ejpam-750	423	92	�	�	PROPN
ejpam-750	423	93	+	+	CCONJ
ejpam-750	423	94	41230187584	41230187584	NUM
ejpam-750	423	95	�	�	PROPN
ejpam-750	423	96	m4	m4	PROPN
ejpam-750	423	97	+	+	CCONJ
ejpam-750	423	98	1	1	NUM
ejpam-750	423	99	m4	m4	PROPN
ejpam-750	423	100	�	�	PROPN
ejpam-750	423	101	+85300504580	+85300504580	NUM
ejpam-750	423	102	�	�	PROPN
ejpam-750	423	103	m2	m2	PROPN
ejpam-750	423	104	+	+	CCONJ
ejpam-750	423	105	1	1	NUM
ejpam-750	423	106	m2	m2	PROPN
ejpam-750	423	107	�	�	PROPN
ejpam-750	423	108	−	−	PROPN
ejpam-750	423	109	130198689038	130198689038	NUM
ejpam-750	423	110	�	�	PROPN
ejpam-750	423	111	m	m	VERB
ejpam-750	423	112	+	+	NOUN
ejpam-750	423	113	1	1	NUM
ejpam-750	423	114	m	m	NOUN
ejpam-750	423	115	�	�	PROPN
ejpam-750	423	116	�	�	PROPN
ejpam-750	423	117	−	−	PROPN
ejpam-750	423	118	36888130319124	36888130319124	NUM
ejpam-750	423	119	(	(	PUNCT
ejpam-750	423	120	93	93	NUM
ejpam-750	423	121	)	)	PUNCT
ejpam-750	423	122	where	where	SCONJ
ejpam-750	423	123	m	m	VERB
ejpam-750	423	124	=	=	ADJ
ejpam-750	423	125	h4,nh4,289n	h4,nh4,289n	NOUN
ejpam-750	423	126	and	and	CCONJ
ejpam-750	423	127	n	n	NOUN
ejpam-750	423	128	=	=	SYM
ejpam-750	423	129	h4,n	h4,n	PROPN
ejpam-750	423	130	h4,289n	h4,289n	NOUN
ejpam-750	423	131	.	.	PUNCT
ejpam-750	424	1	proof	proof	NOUN
ejpam-750	424	2	.	.	PUNCT
ejpam-750	425	1	employing	employ	VERB
ejpam-750	425	2	(	(	PUNCT
ejpam-750	425	3	5	5	NUM
ejpam-750	425	4	)	)	PUNCT
ejpam-750	425	5	in	in	ADP
ejpam-750	425	6	(	(	PUNCT
ejpam-750	425	7	42	42	NUM
ejpam-750	425	8	)	)	PUNCT
ejpam-750	425	9	,	,	PUNCT
ejpam-750	425	10	we	we	PRON
ejpam-750	425	11	obtain	obtain	VERB
ejpam-750	425	12	(	(	PUNCT
ejpam-750	425	13	93	93	NUM
ejpam-750	425	14	)	)	PUNCT
ejpam-750	425	15	.	.	PUNCT
ejpam-750	426	1	corollary	corollary	ADJ
ejpam-750	426	2	8	8	NUM
ejpam-750	426	3	.	.	PUNCT
ejpam-750	427	1	we	we	PRON
ejpam-750	427	2	have	have	VERB
ejpam-750	427	3	h4,17	h4,17	ADJ
ejpam-750	427	4	=	=	SYM
ejpam-750	427	5	v	v	ADP
ejpam-750	427	6	−	−	PROPN
ejpam-750	427	7	p	p	NOUN
ejpam-750	427	8	v2−	v2−	PROPN
ejpam-750	427	9	4	4	NUM
ejpam-750	427	10	2	2	NUM
ejpam-750	427	11	,	,	PUNCT
ejpam-750	427	12	(	(	PUNCT
ejpam-750	427	13	94	94	NUM
ejpam-750	427	14	)	)	PUNCT
ejpam-750	427	15	h4,1/17	h4,1/17	PROPN
ejpam-750	428	1	=	=	SYM
ejpam-750	428	2	v	v	NOUN
ejpam-750	428	3	+	+	CCONJ
ejpam-750	428	4	p	p	NOUN
ejpam-750	428	5	v2−	v2−	PROPN
ejpam-750	428	6	4	4	NUM
ejpam-750	428	7	2	2	NUM
ejpam-750	428	8	,	,	PUNCT
ejpam-750	428	9	(	(	PUNCT
ejpam-750	428	10	95	95	NUM
ejpam-750	428	11	)	)	PUNCT
ejpam-750	428	12	where	where	SCONJ
ejpam-750	428	13	v	v	NOUN
ejpam-750	428	14	=	=	SYM
ejpam-750	428	15	�	�	PROPN
ejpam-750	428	16	p	p	NOUN
ejpam-750	428	17	2−	2−	NUM
ejpam-750	428	18	1	1	NUM
ejpam-750	428	19	�	�	SYM
ejpam-750	428	20	2	2	NUM
ejpam-750	428	21	�	�	PROPN
ejpam-750	428	22	11	11	NUM
ejpam-750	428	23	+	+	CCONJ
ejpam-750	428	24	p	p	X
ejpam-750	428	25	2−	2−	NUM
ejpam-750	428	26	p	p	NOUN
ejpam-750	428	27	17	17	NUM
ejpam-750	428	28	�	�	PROPN
ejpam-750	428	29	p	p	NOUN
ejpam-750	428	30	2−	2−	NUM
ejpam-750	428	31	1	1	NUM
ejpam-750	428	32	�	�	PROPN
ejpam-750	428	33	+	+	CCONJ
ejpam-750	428	34	2	2	NUM
ejpam-750	428	35	q	q	NOUN
ejpam-750	428	36	p	p	PROPN
ejpam-750	428	37	17	17	NUM
ejpam-750	428	38	�	�	PROPN
ejpam-750	428	39	9−	9−	NUM
ejpam-750	428	40	2	2	NUM
ejpam-750	428	41	p	p	SYM
ejpam-750	428	42	2	2	NUM
ejpam-750	428	43	�	�	NOUN
ejpam-750	428	44	−	−	NUM
ejpam-750	428	45	2	2	NUM
ejpam-750	428	46	�	�	PROPN
ejpam-750	428	47	13	13	NUM
ejpam-750	428	48	p	p	NOUN
ejpam-750	428	49	2−	2−	NUM
ejpam-750	428	50	6	6	NUM
ejpam-750	428	51	�	�	PROPN
ejpam-750	428	52	�	�	PROPN
ejpam-750	428	53	.	.	PUNCT
ejpam-750	429	1	proof	proof	NOUN
ejpam-750	429	2	.	.	PUNCT
ejpam-750	430	1	[	[	X
ejpam-750	430	2	proof	proof	NOUN
ejpam-750	430	3	of	of	ADP
ejpam-750	430	4	(	(	PUNCT
ejpam-750	430	5	94	94	NUM
ejpam-750	430	6	)	)	PUNCT
ejpam-750	430	7	and	and	CCONJ
ejpam-750	430	8	(	(	PUNCT
ejpam-750	430	9	95	95	NUM
ejpam-750	430	10	)	)	PUNCT
ejpam-750	430	11	]	]	PUNCT
ejpam-750	430	12	putting	put	VERB
ejpam-750	430	13	n=	n=	ADV
ejpam-750	430	14	1/17	1/17	NUM
ejpam-750	430	15	in	in	ADP
ejpam-750	430	16	(	(	PUNCT
ejpam-750	430	17	93	93	NUM
ejpam-750	430	18	)	)	PUNCT
ejpam-750	430	19	,	,	PUNCT
ejpam-750	430	20	we	we	PRON
ejpam-750	430	21	find	find	VERB
ejpam-750	430	22	that	that	SCONJ
ejpam-750	430	23	(	(	PUNCT
ejpam-750	430	24	h8−	h8−	NOUN
ejpam-750	430	25	116h7	116h7	NUM
ejpam-750	430	26	+	+	SYM
ejpam-750	430	27	76	76	NUM
ejpam-750	430	28	p	p	NOUN
ejpam-750	430	29	2h7	2h7	NUM
ejpam-750	430	30	−	−	NOUN
ejpam-750	430	31	608h6	608h6	NUM
ejpam-750	430	32	+	+	NUM
ejpam-750	430	33	456	456	NUM
ejpam-750	430	34	p	p	NOUN
ejpam-750	430	35	2h6	2h6	NUM
ejpam-750	430	36	−	−	NOUN
ejpam-750	430	37	1516h5	1516h5	NUM
ejpam-750	430	38	+	+	PROPN
ejpam-750	430	39	1012h5	1012h5	PROPN
ejpam-750	430	40	p	p	NOUN
ejpam-750	430	41	2−	2−	NUM
ejpam-750	430	42	1858h4	1858h4	NOUN
ejpam-750	430	43	+	+	SYM
ejpam-750	430	44	1392h4	1392h4	PROPN
ejpam-750	430	45	p	p	X
ejpam-750	430	46	2−	2−	NUM
ejpam-750	430	47	1516h3	1516h3	NOUN
ejpam-750	430	48	+	+	NOUN
ejpam-750	430	49	1012	1012	NUM
ejpam-750	430	50	p	p	X
ejpam-750	430	51	2h3−	2h3−	NUM
ejpam-750	430	52	608h2	608h2	NUM
ejpam-750	430	53	+	+	CCONJ
ejpam-750	430	54	456	456	NUM
ejpam-750	430	55	p	p	NOUN
ejpam-750	430	56	2h2	2h2	NUM
ejpam-750	430	57	−	−	NUM
ejpam-750	430	58	116h+	116h+	NUM
ejpam-750	430	59	76	76	NUM
ejpam-750	430	60	p	p	NOUN
ejpam-750	430	61	2h+	2h+	NUM
ejpam-750	430	62	1	1	NUM
ejpam-750	430	63	)	)	PUNCT
ejpam-750	430	64	(	(	PUNCT
ejpam-750	430	65	h8	h8	PROPN
ejpam-750	430	66	+	+	NOUN
ejpam-750	430	67	116h7	116h7	NUM
ejpam-750	430	68	+	+	SYM
ejpam-750	430	69	76	76	NUM
ejpam-750	430	70	p	p	NOUN
ejpam-750	430	71	2h7	2h7	NUM
ejpam-750	430	72	−	−	NOUN
ejpam-750	430	73	608h6−	608h6−	NOUN
ejpam-750	430	74	456	456	NUM
ejpam-750	430	75	p	p	NOUN
ejpam-750	430	76	2h6	2h6	NUM
ejpam-750	430	77	+	+	CCONJ
ejpam-750	430	78	1516h5	1516h5	NUM
ejpam-750	430	79	+	+	SYM
ejpam-750	430	80	1012h5	1012h5	NUM
ejpam-750	430	81	p	p	NOUN
ejpam-750	430	82	2−	2−	NUM
ejpam-750	430	83	1858h4	1858h4	NOUN
ejpam-750	430	84	−	−	PROPN
ejpam-750	430	85	1392h4	1392h4	NOUN
ejpam-750	430	86	p	p	VERB
ejpam-750	430	87	2	2	NUM
ejpam-750	430	88	+	+	NUM
ejpam-750	430	89	1516h3	1516h3	NUM
ejpam-750	430	90	+	+	ADJ
ejpam-750	430	91	1012	1012	NUM
ejpam-750	430	92	p	p	SYM
ejpam-750	430	93	2h3−	2h3−	NUM
ejpam-750	430	94	608h2−	608h2−	NOUN
ejpam-750	430	95	456	456	NUM
ejpam-750	430	96	p	p	NOUN
ejpam-750	430	97	2h2	2h2	NUM
ejpam-750	430	98	+	+	CCONJ
ejpam-750	430	99	116h+	116h+	NUM
ejpam-750	430	100	76	76	NUM
ejpam-750	430	101	p	p	NOUN
ejpam-750	430	102	2h+	2h+	NUM
ejpam-750	430	103	1	1	NUM
ejpam-750	430	104	)	)	PUNCT
ejpam-750	430	105	(	(	PUNCT
ejpam-750	430	106	−h4−	−h4−	PROPN
ejpam-750	430	107	50h3	50h3	NUM
ejpam-750	430	108	+	+	NOUN
ejpam-750	430	109	38	38	NUM
ejpam-750	430	110	p	p	NOUN
ejpam-750	430	111	2h3−	2h3−	NUM
ejpam-750	430	112	62h2	62h2	NUM
ejpam-750	430	113	+	+	CCONJ
ejpam-750	430	114	40	40	NUM
ejpam-750	430	115	p	p	NOUN
ejpam-750	430	116	2h2	2h2	NUM
ejpam-750	430	117	−	−	ADP
ejpam-750	430	118	50h+	50h+	NUM
ejpam-750	430	119	38	38	NUM
ejpam-750	430	120	p	p	NOUN
ejpam-750	430	121	2h−	2h−	NUM
ejpam-750	430	122	1)2(h−	1)2(h−	NUM
ejpam-750	430	123	1)2	1)2	NUM
ejpam-750	430	124	(	(	PUNCT
ejpam-750	430	125	−h4	−h4	NOUN
ejpam-750	430	126	+	+	NOUN
ejpam-750	430	127	50h3	50h3	NUM
ejpam-750	430	128	+	+	SYM
ejpam-750	430	129	38	38	NUM
ejpam-750	430	130	p	p	NOUN
ejpam-750	430	131	2h3−	2h3−	NUM
ejpam-750	430	132	62h2−	62h2−	NUM
ejpam-750	430	133	40	40	NUM
ejpam-750	430	134	p	p	NOUN
ejpam-750	430	135	2h2	2h2	NUM
ejpam-750	430	136	+	+	CCONJ
ejpam-750	430	137	50h+	50h+	NUM
ejpam-750	430	138	38	38	NUM
ejpam-750	430	139	p	p	NOUN
ejpam-750	430	140	2h−	2h−	NUM
ejpam-750	430	141	1)2(h+	1)2(h+	ADJ
ejpam-750	430	142	1)2	1)2	NUM
ejpam-750	430	143	=	=	SYM
ejpam-750	430	144	0	0	NUM
ejpam-750	430	145	,	,	PUNCT
ejpam-750	430	146	(	(	PUNCT
ejpam-750	430	147	96	96	NUM
ejpam-750	430	148	)	)	PUNCT
ejpam-750	430	149	where	where	SCONJ
ejpam-750	430	150	h	h	NOUN
ejpam-750	430	151	:	:	PUNCT
ejpam-750	430	152	=	=	SYM
ejpam-750	430	153	h4,17	h4,17	ADJ
ejpam-750	430	154	.	.	PUNCT
ejpam-750	431	1	we	we	PRON
ejpam-750	431	2	observe	observe	VERB
ejpam-750	431	3	that	that	SCONJ
ejpam-750	431	4	the	the	DET
ejpam-750	431	5	first	first	ADJ
ejpam-750	431	6	factor	factor	NOUN
ejpam-750	431	7	of	of	ADP
ejpam-750	431	8	the	the	DET
ejpam-750	431	9	equation	equation	NOUN
ejpam-750	431	10	(	(	PUNCT
ejpam-750	431	11	96	96	NUM
ejpam-750	431	12	)	)	PUNCT
ejpam-750	431	13	vanishes	vanish	VERB
ejpam-750	431	14	for	for	ADP
ejpam-750	431	15	specific	specific	ADJ
ejpam-750	431	16	value	value	NOUN
ejpam-750	431	17	of	of	ADP
ejpam-750	431	18	q	q	NOUN
ejpam-750	431	19	=	=	PUNCT
ejpam-750	431	20	e−π	e−π	PROPN
ejpam-750	431	21	p	p	NOUN
ejpam-750	431	22	17/4	17/4	PROPN
ejpam-750	431	23	,	,	PUNCT
ejpam-750	431	24	but	but	CCONJ
ejpam-750	431	25	the	the	DET
ejpam-750	431	26	other	other	ADJ
ejpam-750	431	27	factors	factor	NOUN
ejpam-750	431	28	does	do	AUX
ejpam-750	431	29	not	not	PART
ejpam-750	431	30	vanish	vanish	VERB
ejpam-750	431	31	hence	hence	ADV
ejpam-750	431	32	,	,	PUNCT
ejpam-750	431	33	we	we	PRON
ejpam-750	431	34	find	find	VERB
ejpam-750	431	35	that	that	SCONJ
ejpam-750	431	36	x4−	x4−	PROPN
ejpam-750	431	37	612x2−	612x2−	NOUN
ejpam-750	431	38	640	640	NUM
ejpam-750	432	1	+	+	NUM
ejpam-750	432	2	76	76	NUM
ejpam-750	432	3	p	p	NOUN
ejpam-750	432	4	2x3	2x3	NUM
ejpam-750	432	5	+	+	NOUN
ejpam-750	432	6	784	784	NUM
ejpam-750	432	7	p	p	NOUN
ejpam-750	432	8	2x	2x	NUM
ejpam-750	432	9	−	−	NUM
ejpam-750	432	10	116x3−	116x3−	NOUN
ejpam-750	432	11	1168x	1168x	NUM
ejpam-750	433	1	+	+	CCONJ
ejpam-750	433	2	456	456	NUM
ejpam-750	433	3	p	p	NOUN
ejpam-750	433	4	2x2	2x2	NUM
ejpam-750	433	5	+	+	CCONJ
ejpam-750	433	6	480	480	NUM
ejpam-750	433	7	p	p	NOUN
ejpam-750	433	8	2=	2=	NUM
ejpam-750	433	9	0	0	NUM
ejpam-750	433	10	,	,	PUNCT
ejpam-750	433	11	(	(	PUNCT
ejpam-750	433	12	97	97	NUM
ejpam-750	433	13	)	)	PUNCT
ejpam-750	433	14	where	where	SCONJ
ejpam-750	433	15	x	x	PUNCT
ejpam-750	433	16	=	=	SYM
ejpam-750	433	17	h4,17	h4,17	ADJ
ejpam-750	433	18	+	+	CCONJ
ejpam-750	433	19	1	1	NUM
ejpam-750	433	20	h4,17	h4,17	ADJ
ejpam-750	433	21	.	.	PUNCT
ejpam-750	434	1	solving	solve	VERB
ejpam-750	434	2	the	the	DET
ejpam-750	434	3	above	above	ADJ
ejpam-750	434	4	equation	equation	NOUN
ejpam-750	434	5	,	,	PUNCT
ejpam-750	434	6	we	we	PRON
ejpam-750	434	7	obtain	obtain	VERB
ejpam-750	434	8	(	(	PUNCT
ejpam-750	434	9	94	94	NUM
ejpam-750	434	10	)	)	PUNCT
ejpam-750	434	11	and	and	CCONJ
ejpam-750	434	12	(	(	PUNCT
ejpam-750	434	13	95	95	NUM
ejpam-750	434	14	)	)	PUNCT
ejpam-750	434	15	.	.	PUNCT
ejpam-750	435	1	references	reference	NOUN
ejpam-750	435	2	947	947	NUM
ejpam-750	435	3	acknowledgements	acknowledgement	NOUN
ejpam-750	435	4	the	the	DET
ejpam-750	435	5	first	first	ADJ
ejpam-750	435	6	and	and	CCONJ
ejpam-750	435	7	second	second	ADJ
ejpam-750	435	8	authors	author	NOUN
ejpam-750	435	9	are	be	AUX
ejpam-750	435	10	thankful	thankful	ADJ
ejpam-750	435	11	to	to	AUX
ejpam-750	435	12	dst	dst	VERB
ejpam-750	435	13	for	for	ADP
ejpam-750	435	14	their	their	PRON
ejpam-750	435	15	support	support	NOUN
ejpam-750	435	16	under	under	ADP
ejpam-750	435	17	the	the	DET
ejpam-750	435	18	research	research	NOUN
ejpam-750	435	19	project	project	NOUN
ejpam-750	435	20	sr	sr	PROPN
ejpam-750	435	21	/	/	SYM
ejpam-750	435	22	s4	s4	PROPN
ejpam-750	435	23	/	/	SYM
ejpam-750	435	24	ms:509/07	ms:509/07	PROPN
ejpam-750	435	25	.	.	PUNCT
ejpam-750	436	1	references	reference	NOUN
ejpam-750	436	2	[	[	X
ejpam-750	436	3	1	1	NUM
ejpam-750	436	4	]	]	PUNCT
ejpam-750	436	5	g.e.andrews	g.e.andrew	NOUN
ejpam-750	436	6	and	and	CCONJ
ejpam-750	436	7	b.	b.	PROPN
ejpam-750	436	8	c.	c.	PROPN
ejpam-750	436	9	berndt	berndt	PROPN
ejpam-750	436	10	,	,	PUNCT
ejpam-750	436	11	ramanujan	ramanujan	PROPN
ejpam-750	436	12	’s	’s	PART
ejpam-750	436	13	lost	lose	VERB
ejpam-750	436	14	notebook	notebook	NOUN
ejpam-750	436	15	,	,	PUNCT
ejpam-750	436	16	part	part	NOUN
ejpam-750	436	17	i	i	PROPN
ejpam-750	436	18	,	,	PUNCT
ejpam-750	436	19	springer	springer	NOUN
ejpam-750	436	20	,	,	PUNCT
ejpam-750	436	21	new	new	PROPN
ejpam-750	436	22	york	york	PROPN
ejpam-750	436	23	,	,	PUNCT
ejpam-750	436	24	2005	2005	NUM
ejpam-750	436	25	.	.	PUNCT
ejpam-750	437	1	[	[	X
ejpam-750	437	2	2	2	NUM
ejpam-750	437	3	]	]	X
ejpam-750	437	4	b.	b.	PROPN
ejpam-750	437	5	c.	c.	PROPN
ejpam-750	437	6	berndt	berndt	PROPN
ejpam-750	437	7	,	,	PUNCT
ejpam-750	437	8	analytic	analytic	ADJ
ejpam-750	437	9	eisenstein	eisenstein	PROPN
ejpam-750	437	10	series	series	PROPN
ejpam-750	437	11	,	,	PUNCT
ejpam-750	437	12	theta	theta	NOUN
ejpam-750	437	13	-	-	PUNCT
ejpam-750	437	14	functions	function	NOUN
ejpam-750	437	15	,	,	PUNCT
ejpam-750	437	16	and	and	CCONJ
ejpam-750	437	17	series	series	NOUN
ejpam-750	437	18	relations	relation	NOUN
ejpam-750	437	19	in	in	ADP
ejpam-750	437	20	the	the	DET
ejpam-750	437	21	spirit	spirit	NOUN
ejpam-750	437	22	of	of	ADP
ejpam-750	437	23	ramanujan	ramanujan	PROPN
ejpam-750	437	24	,	,	PUNCT
ejpam-750	437	25	j.	j.	PROPN
ejpam-750	437	26	reine	reine	PROPN
ejpam-750	437	27	angew	angew	PROPN
ejpam-750	437	28	.	.	PUNCT
ejpam-750	438	1	math	math	NOUN
ejpam-750	438	2	.	.	PUNCT
ejpam-750	438	3	,	,	PUNCT
ejpam-750	438	4	303/304:332–365	303/304:332–365	NUM
ejpam-750	438	5	,	,	PUNCT
ejpam-750	438	6	1978	1978	NUM
ejpam-750	438	7	.	.	PUNCT
ejpam-750	439	1	[	[	X
ejpam-750	439	2	3	3	X
ejpam-750	439	3	]	]	X
ejpam-750	439	4	b.	b.	PROPN
ejpam-750	439	5	c.	c.	PROPN
ejpam-750	439	6	berndt	berndt	PROPN
ejpam-750	439	7	,	,	PUNCT
ejpam-750	439	8	ramanujan	ramanujan	PROPN
ejpam-750	439	9	’s	’s	PART
ejpam-750	439	10	notebooks	notebook	NOUN
ejpam-750	439	11	,	,	PUNCT
ejpam-750	439	12	part	part	NOUN
ejpam-750	439	13	iii	iii	NOUN
ejpam-750	439	14	,	,	PUNCT
ejpam-750	439	15	springer	springer	NOUN
ejpam-750	439	16	-	-	PUNCT
ejpam-750	439	17	verlag	verlag	PROPN
ejpam-750	439	18	,	,	PUNCT
ejpam-750	439	19	new	new	PROPN
ejpam-750	439	20	york	york	PROPN
ejpam-750	439	21	,	,	PUNCT
ejpam-750	439	22	1991	1991	NUM
ejpam-750	439	23	.	.	PUNCT
ejpam-750	440	1	[	[	X
ejpam-750	440	2	4	4	X
ejpam-750	440	3	]	]	X
ejpam-750	440	4	b.	b.	PROPN
ejpam-750	440	5	c.	c.	PROPN
ejpam-750	440	6	berndt	berndt	PROPN
ejpam-750	440	7	,	,	PUNCT
ejpam-750	440	8	ramanujan	ramanujan	PROPN
ejpam-750	440	9	’s	’s	PART
ejpam-750	440	10	notebooks	notebook	NOUN
ejpam-750	440	11	,	,	PUNCT
ejpam-750	440	12	part	part	NOUN
ejpam-750	440	13	v	v	NOUN
ejpam-750	440	14	,	,	PUNCT
ejpam-750	440	15	springer	springer	NOUN
ejpam-750	440	16	–	–	PUNCT
ejpam-750	440	17	verlag	verlag	PROPN
ejpam-750	440	18	,	,	PUNCT
ejpam-750	440	19	new	new	PROPN
ejpam-750	440	20	york	york	PROPN
ejpam-750	440	21	,	,	PUNCT
ejpam-750	440	22	1998	1998	NUM
ejpam-750	440	23	.	.	PUNCT
ejpam-750	441	1	[	[	X
ejpam-750	441	2	5	5	NUM
ejpam-750	441	3	]	]	PUNCT
ejpam-750	441	4	b.	b.	PROPN
ejpam-750	441	5	c.	c.	PROPN
ejpam-750	441	6	berndt	berndt	PROPN
ejpam-750	441	7	,	,	PUNCT
ejpam-750	441	8	l.	l.	PROPN
ejpam-750	441	9	a.	a.	PROPN
ejpam-750	441	10	goldberg	goldberg	PROPN
ejpam-750	441	11	,	,	PUNCT
ejpam-750	441	12	analytic	analytic	ADJ
ejpam-750	441	13	properties	property	NOUN
ejpam-750	441	14	of	of	ADP
ejpam-750	441	15	arithmetic	arithmetic	ADJ
ejpam-750	441	16	sums	sum	NOUN
ejpam-750	441	17	arasing	arase	VERB
ejpam-750	441	18	in	in	ADP
ejpam-750	441	19	the	the	DET
ejpam-750	441	20	theory	theory	NOUN
ejpam-750	441	21	of	of	ADP
ejpam-750	441	22	the	the	DET
ejpam-750	441	23	classical	classical	ADJ
ejpam-750	441	24	theta	theta	NOUN
ejpam-750	441	25	-	-	PUNCT
ejpam-750	441	26	functions	function	NOUN
ejpam-750	441	27	,	,	PUNCT
ejpam-750	441	28	siam	siam	PROPN
ejpam-750	441	29	j.	j.	PROPN
ejpam-750	441	30	math	math	PROPN
ejpam-750	441	31	.	.	PUNCT
ejpam-750	442	1	anal	anal	PROPN
ejpam-750	442	2	.	.	PROPN
ejpam-750	442	3	,	,	PUNCT
ejpam-750	442	4	15:208–220	15:208–220	PROPN
ejpam-750	442	5	,	,	PUNCT
ejpam-750	442	6	1984	1984	NUM
ejpam-750	442	7	.	.	PUNCT
ejpam-750	443	1	[	[	X
ejpam-750	443	2	6	6	NUM
ejpam-750	443	3	]	]	PUNCT
ejpam-750	443	4	m.	m.	NOUN
ejpam-750	443	5	s.	s.	PROPN
ejpam-750	443	6	mahadeva	mahadeva	PROPN
ejpam-750	443	7	naika	naika	PROPN
ejpam-750	443	8	and	and	CCONJ
ejpam-750	443	9	s.	s.	PROPN
ejpam-750	443	10	chandan	chandan	PROPN
ejpam-750	443	11	kumar	kumar	PROPN
ejpam-750	443	12	,	,	PUNCT
ejpam-750	443	13	some	some	DET
ejpam-750	443	14	new	new	ADJ
ejpam-750	443	15	modular	modular	ADJ
ejpam-750	443	16	equations	equation	NOUN
ejpam-750	443	17	and	and	CCONJ
ejpam-750	443	18	their	their	PRON
ejpam-750	443	19	applications	application	NOUN
ejpam-750	443	20	,	,	PUNCT
ejpam-750	443	21	(	(	PUNCT
ejpam-750	443	22	communicated	communicate	VERB
ejpam-750	443	23	)	)	PUNCT
ejpam-750	443	24	.	.	PUNCT
ejpam-750	444	1	[	[	X
ejpam-750	444	2	7	7	X
ejpam-750	444	3	]	]	X
ejpam-750	444	4	s.	s.	PROPN
ejpam-750	444	5	ramanujan	ramanujan	PROPN
ejpam-750	444	6	,	,	PUNCT
ejpam-750	444	7	notebooks	notebook	NOUN
ejpam-750	444	8	(	(	PUNCT
ejpam-750	444	9	2	2	NUM
ejpam-750	444	10	volumes	volume	NOUN
ejpam-750	444	11	)	)	PUNCT
ejpam-750	444	12	,	,	PUNCT
ejpam-750	444	13	tata	tata	PROPN
ejpam-750	444	14	institute	institute	PROPN
ejpam-750	444	15	of	of	ADP
ejpam-750	444	16	fundamental	fundamental	ADJ
ejpam-750	444	17	research	research	PROPN
ejpam-750	444	18	,	,	PUNCT
ejpam-750	444	19	bombay	bombay	PROPN
ejpam-750	444	20	,	,	PUNCT
ejpam-750	444	21	1957	1957	NUM
ejpam-750	444	22	.	.	PUNCT
ejpam-750	445	1	[	[	X
ejpam-750	445	2	8	8	X
ejpam-750	445	3	]	]	PUNCT
ejpam-750	445	4	j.	j.	PROPN
ejpam-750	445	5	yi	yi	PROPN
ejpam-750	445	6	,	,	PUNCT
ejpam-750	445	7	construction	construction	NOUN
ejpam-750	445	8	and	and	CCONJ
ejpam-750	445	9	application	application	NOUN
ejpam-750	445	10	of	of	ADP
ejpam-750	445	11	modular	modular	ADJ
ejpam-750	445	12	equations	equation	NOUN
ejpam-750	445	13	,	,	PUNCT
ejpam-750	445	14	ph.d	ph.d	PROPN
ejpam-750	445	15	thesis	thesis	NOUN
ejpam-750	445	16	,	,	PUNCT
ejpam-750	445	17	university	university	PROPN
ejpam-750	445	18	of	of	ADP
ejpam-750	445	19	illinois	illinois	PROPN
ejpam-750	445	20	at	at	ADP
ejpam-750	445	21	urbana	urbana	PROPN
ejpam-750	445	22	-	-	PUNCT
ejpam-750	445	23	champaign	champaign	PROPN
ejpam-750	445	24	,	,	PUNCT
ejpam-750	445	25	2004	2004	NUM
ejpam-750	445	26	.	.	PUNCT
ejpam-750	446	1	[	[	X
ejpam-750	446	2	9	9	NUM
ejpam-750	446	3	]	]	PUNCT
ejpam-750	446	4	j.	j.	PROPN
ejpam-750	446	5	yi	yi	PROPN
ejpam-750	446	6	,	,	PUNCT
ejpam-750	446	7	theta	theta	NOUN
ejpam-750	446	8	-	-	PUNCT
ejpam-750	446	9	function	function	NOUN
ejpam-750	446	10	identities	identity	NOUN
ejpam-750	446	11	and	and	CCONJ
ejpam-750	446	12	the	the	DET
ejpam-750	446	13	explicit	explicit	ADJ
ejpam-750	446	14	formulas	formula	NOUN
ejpam-750	446	15	for	for	ADP
ejpam-750	446	16	theta	theta	NOUN
ejpam-750	446	17	-	-	PUNCT
ejpam-750	446	18	function	function	NOUN
ejpam-750	446	19	and	and	CCONJ
ejpam-750	446	20	their	their	PRON
ejpam-750	446	21	applications	application	NOUN
ejpam-750	446	22	,	,	PUNCT
ejpam-750	446	23	j.	j.	PROPN
ejpam-750	446	24	math	math	PROPN
ejpam-750	446	25	.	.	PUNCT
ejpam-750	447	1	anal	anal	PROPN
ejpam-750	447	2	.	.	PUNCT
ejpam-750	448	1	appl	appl	PROPN
ejpam-750	448	2	.	.	PROPN
ejpam-750	448	3	,	,	PUNCT
ejpam-750	448	4	292:381–400	292:381–400	NUM
ejpam-750	448	5	,	,	PUNCT
ejpam-750	448	6	2004	2004	NUM
ejpam-750	448	7	.	.	PUNCT