id	sid	tid	token	lemma	pos
ejpam-1965	1	1	european	european	PROPN
ejpam-1965	1	2	journal	journal	PROPN
ejpam-1965	1	3	of	of	ADP
ejpam-1965	1	4	pure	pure	ADJ
ejpam-1965	1	5	and	and	CCONJ
ejpam-1965	1	6	applied	apply	VERB
ejpam-1965	1	7	mathematics	mathematic	NOUN
ejpam-1965	1	8	vol	vol	NOUN
ejpam-1965	1	9	.	.	PUNCT
ejpam-1965	2	1	7	7	NUM
ejpam-1965	2	2	,	,	PUNCT
ejpam-1965	2	3	no	no	INTJ
ejpam-1965	2	4	.	.	NOUN
ejpam-1965	2	5	3	3	NUM
ejpam-1965	2	6	,	,	PUNCT
ejpam-1965	2	7	2014	2014	NUM
ejpam-1965	2	8	,	,	PUNCT
ejpam-1965	2	9	256	256	NUM
ejpam-1965	2	10	-	-	SYM
ejpam-1965	2	11	266	266	NUM
ejpam-1965	2	12	issn	issn	PROPN
ejpam-1965	2	13	1307	1307	NUM
ejpam-1965	2	14	-	-	SYM
ejpam-1965	2	15	5543	5543	NUM
ejpam-1965	2	16	–	–	PUNCT
ejpam-1965	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-1965	2	18	on	on	ADP
ejpam-1965	2	19	the	the	DET
ejpam-1965	2	20	linear	linear	ADJ
ejpam-1965	2	21	complexity	complexity	NOUN
ejpam-1965	2	22	of	of	ADP
ejpam-1965	2	23	ding	ding	NOUN
ejpam-1965	2	24	-	-	PUNCT
ejpam-1965	2	25	helleseth	helleseth	NOUN
ejpam-1965	2	26	generalized	generalized	ADJ
ejpam-1965	2	27	cyclotomic	cyclotomic	ADJ
ejpam-1965	2	28	binary	binary	ADJ
ejpam-1965	2	29	sequences	sequence	NOUN
ejpam-1965	2	30	of	of	ADP
ejpam-1965	2	31	order	order	NOUN
ejpam-1965	2	32	four	four	NUM
ejpam-1965	2	33	and	and	CCONJ
ejpam-1965	2	34	six	six	NUM
ejpam-1965	2	35	vladimir	vladimir	NOUN
ejpam-1965	2	36	edemskiy	edemskiy	NOUN
ejpam-1965	2	37	∗	∗	NOUN
ejpam-1965	2	38	,	,	PUNCT
ejpam-1965	2	39	olga	olga	PROPN
ejpam-1965	2	40	antonova	antonova	PROPN
ejpam-1965	2	41	department	department	NOUN
ejpam-1965	2	42	of	of	ADP
ejpam-1965	2	43	applied	apply	VERB
ejpam-1965	2	44	mathematics	mathematic	NOUN
ejpam-1965	2	45	and	and	CCONJ
ejpam-1965	2	46	informatics	informatic	NOUN
ejpam-1965	2	47	,	,	PUNCT
ejpam-1965	2	48	novgorod	novgorod	PROPN
ejpam-1965	2	49	state	state	PROPN
ejpam-1965	2	50	university	university	PROPN
ejpam-1965	2	51	,	,	PUNCT
ejpam-1965	2	52	veliky	veliky	NOUN
ejpam-1965	2	53	novgorod	novgorod	PROPN
ejpam-1965	2	54	,	,	PUNCT
ejpam-1965	2	55	russia	russia	PROPN
ejpam-1965	2	56	abstract	abstract	NOUN
ejpam-1965	2	57	.	.	PUNCT
ejpam-1965	3	1	we	we	PRON
ejpam-1965	3	2	propose	propose	VERB
ejpam-1965	3	3	a	a	DET
ejpam-1965	3	4	new	new	ADJ
ejpam-1965	3	5	computation	computation	NOUN
ejpam-1965	3	6	method	method	NOUN
ejpam-1965	3	7	for	for	ADP
ejpam-1965	3	8	the	the	DET
ejpam-1965	3	9	linear	linear	ADJ
ejpam-1965	3	10	complexity	complexity	NOUN
ejpam-1965	3	11	and	and	CCONJ
ejpam-1965	3	12	the	the	DET
ejpam-1965	3	13	minimal	minimal	ADJ
ejpam-1965	3	14	polynomial	polynomial	NOUN
ejpam-1965	3	15	of	of	ADP
ejpam-1965	3	16	ding	ding	NOUN
ejpam-1965	3	17	-	-	PUNCT
ejpam-1965	3	18	helleseth	helleseth	NOUN
ejpam-1965	3	19	-	-	PUNCT
ejpam-1965	3	20	generalized	generalize	VERB
ejpam-1965	3	21	cyclotomic	cyclotomic	ADJ
ejpam-1965	3	22	sequences	sequence	NOUN
ejpam-1965	3	23	.	.	PUNCT
ejpam-1965	4	1	we	we	PRON
ejpam-1965	4	2	will	will	AUX
ejpam-1965	4	3	find	find	VERB
ejpam-1965	4	4	the	the	DET
ejpam-1965	4	5	linear	linear	ADJ
ejpam-1965	4	6	complexity	complexity	NOUN
ejpam-1965	4	7	of	of	ADP
ejpam-1965	4	8	dinghelleseth	dinghelleseth	NOUN
ejpam-1965	4	9	-	-	PUNCT
ejpam-1965	4	10	generalized	generalize	VERB
ejpam-1965	4	11	cyclotomic	cyclotomic	ADJ
ejpam-1965	4	12	sequences	sequence	NOUN
ejpam-1965	4	13	of	of	ADP
ejpam-1965	4	14	order	order	NOUN
ejpam-1965	4	15	four	four	NUM
ejpam-1965	4	16	and	and	CCONJ
ejpam-1965	4	17	six	six	NUM
ejpam-1965	4	18	and	and	CCONJ
ejpam-1965	4	19	make	make	VERB
ejpam-1965	4	20	the	the	DET
ejpam-1965	4	21	results	result	NOUN
ejpam-1965	4	22	of	of	ADP
ejpam-1965	4	23	tongjiang	tongjiang	PROPN
ejpam-1965	4	24	yan	yan	PROPN
ejpam-1965	4	25	et	et	PROPN
ejpam-1965	4	26	.	.	PUNCT
ejpam-1965	5	1	al	al	PROPN
ejpam-1965	6	1	[	[	X
ejpam-1965	6	2	19	19	NUM
ejpam-1965	6	3	]	]	PUNCT
ejpam-1965	6	4	about	about	ADP
ejpam-1965	6	5	the	the	DET
ejpam-1965	6	6	sequences	sequence	NOUN
ejpam-1965	6	7	of	of	ADP
ejpam-1965	6	8	order	order	NOUN
ejpam-1965	6	9	four	four	NUM
ejpam-1965	6	10	more	more	ADV
ejpam-1965	6	11	specific	specific	ADJ
ejpam-1965	6	12	.	.	PUNCT
ejpam-1965	7	1	2010	2010	NUM
ejpam-1965	7	2	mathematics	mathematic	NOUN
ejpam-1965	7	3	subject	subject	NOUN
ejpam-1965	7	4	classifications	classification	NOUN
ejpam-1965	7	5	:	:	PUNCT
ejpam-1965	7	6	11b50	11b50	NUM
ejpam-1965	7	7	,	,	PUNCT
ejpam-1965	7	8	94a55	94a55	NUM
ejpam-1965	7	9	,	,	PUNCT
ejpam-1965	7	10	94a60	94a60	NUM
ejpam-1965	7	11	key	key	ADJ
ejpam-1965	7	12	words	word	NOUN
ejpam-1965	7	13	and	and	CCONJ
ejpam-1965	7	14	phrases	phrase	NOUN
ejpam-1965	7	15	:	:	PUNCT
ejpam-1965	7	16	stream	stream	NOUN
ejpam-1965	7	17	ciphers	cipher	NOUN
ejpam-1965	7	18	,	,	PUNCT
ejpam-1965	7	19	sequences	sequence	NOUN
ejpam-1965	7	20	,	,	PUNCT
ejpam-1965	7	21	generalized	generalized	ADJ
ejpam-1965	7	22	cyclotomy	cyclotomy	NOUN
ejpam-1965	7	23	,	,	PUNCT
ejpam-1965	7	24	linear	linear	ADJ
ejpam-1965	7	25	complexity	complexity	NOUN
ejpam-1965	7	26	,	,	PUNCT
ejpam-1965	7	27	minimal	minimal	ADJ
ejpam-1965	7	28	polynomial	polynomial	ADJ
ejpam-1965	7	29	1	1	NUM
ejpam-1965	7	30	.	.	PUNCT
ejpam-1965	8	1	introduction	introduction	NOUN
ejpam-1965	8	2	pseudo	pseudo	NOUN
ejpam-1965	8	3	-	-	ADJ
ejpam-1965	8	4	random	random	ADJ
ejpam-1965	8	5	sequences	sequence	NOUN
ejpam-1965	8	6	are	be	AUX
ejpam-1965	8	7	widely	widely	ADV
ejpam-1965	8	8	used	use	VERB
ejpam-1965	8	9	in	in	ADP
ejpam-1965	8	10	many	many	ADJ
ejpam-1965	8	11	fields	field	NOUN
ejpam-1965	8	12	,	,	PUNCT
ejpam-1965	8	13	in	in	ADP
ejpam-1965	8	14	particular	particular	ADJ
ejpam-1965	8	15	in	in	ADP
ejpam-1965	8	16	stream	stream	NOUN
ejpam-1965	8	17	ciphers	cipher	NOUN
ejpam-1965	8	18	[	[	X
ejpam-1965	8	19	3	3	NUM
ejpam-1965	8	20	]	]	PUNCT
ejpam-1965	8	21	.	.	PUNCT
ejpam-1965	9	1	the	the	DET
ejpam-1965	9	2	linear	linear	ADJ
ejpam-1965	9	3	complexity	complexity	NOUN
ejpam-1965	9	4	of	of	ADP
ejpam-1965	9	5	a	a	DET
ejpam-1965	9	6	sequence	sequence	NOUN
ejpam-1965	9	7	s∞	s∞	NOUN
ejpam-1965	9	8	is	be	AUX
ejpam-1965	9	9	an	an	DET
ejpam-1965	9	10	important	important	ADJ
ejpam-1965	9	11	characteristic	characteristic	NOUN
ejpam-1965	9	12	of	of	ADP
ejpam-1965	9	13	its	its	PRON
ejpam-1965	9	14	quality	quality	NOUN
ejpam-1965	9	15	.	.	PUNCT
ejpam-1965	10	1	it	it	PRON
ejpam-1965	10	2	is	be	AUX
ejpam-1965	10	3	defined	define	VERB
ejpam-1965	10	4	to	to	PART
ejpam-1965	10	5	be	be	AUX
ejpam-1965	10	6	the	the	DET
ejpam-1965	10	7	length	length	NOUN
ejpam-1965	10	8	of	of	ADP
ejpam-1965	10	9	the	the	DET
ejpam-1965	10	10	shortest	short	ADJ
ejpam-1965	10	11	linear	linear	ADJ
ejpam-1965	10	12	feedback	feedback	NOUN
ejpam-1965	10	13	shift	shift	NOUN
ejpam-1965	10	14	register	register	NOUN
ejpam-1965	10	15	that	that	PRON
ejpam-1965	10	16	can	can	AUX
ejpam-1965	10	17	generate	generate	VERB
ejpam-1965	10	18	the	the	DET
ejpam-1965	10	19	sequence	sequence	NOUN
ejpam-1965	10	20	[	[	X
ejpam-1965	10	21	14	14	NUM
ejpam-1965	10	22	]	]	PUNCT
ejpam-1965	10	23	.	.	PUNCT
ejpam-1965	11	1	sequences	sequence	NOUN
ejpam-1965	11	2	with	with	ADP
ejpam-1965	11	3	high	high	ADJ
ejpam-1965	11	4	linear	linear	NOUN
ejpam-1965	11	5	complexity	complexity	NOUN
ejpam-1965	11	6	(	(	PUNCT
ejpam-1965	11	7	l(s∞	l(s∞	NOUN
ejpam-1965	11	8	)	)	PUNCT
ejpam-1965	11	9	>	>	X
ejpam-1965	11	10	n/2	n/2	PROPN
ejpam-1965	11	11	,	,	PUNCT
ejpam-1965	11	12	where	where	SCONJ
ejpam-1965	11	13	n	n	PRON
ejpam-1965	11	14	denotes	denote	VERB
ejpam-1965	11	15	the	the	DET
ejpam-1965	11	16	period	period	NOUN
ejpam-1965	11	17	of	of	ADP
ejpam-1965	11	18	the	the	DET
ejpam-1965	11	19	sequence	sequence	NOUN
ejpam-1965	11	20	)	)	PUNCT
ejpam-1965	11	21	are	be	AUX
ejpam-1965	11	22	important	important	ADJ
ejpam-1965	11	23	for	for	ADP
ejpam-1965	11	24	cryptographic	cryptographic	ADJ
ejpam-1965	11	25	applications	application	NOUN
ejpam-1965	11	26	.	.	PUNCT
ejpam-1965	12	1	using	use	VERB
ejpam-1965	12	2	classical	classical	ADJ
ejpam-1965	12	3	cyclotomic	cyclotomic	ADJ
ejpam-1965	12	4	classes	class	NOUN
ejpam-1965	12	5	and	and	CCONJ
ejpam-1965	12	6	generalized	generalized	ADJ
ejpam-1965	12	7	cyclotomic	cyclotomic	ADJ
ejpam-1965	12	8	classes	class	NOUN
ejpam-1965	12	9	to	to	PART
ejpam-1965	12	10	construct	construct	VERB
ejpam-1965	12	11	binary	binary	ADJ
ejpam-1965	12	12	sequences	sequence	NOUN
ejpam-1965	12	13	,	,	PUNCT
ejpam-1965	12	14	which	which	PRON
ejpam-1965	12	15	are	be	AUX
ejpam-1965	12	16	called	call	VERB
ejpam-1965	12	17	classical	classical	ADJ
ejpam-1965	12	18	cyclotomic	cyclotomic	ADJ
ejpam-1965	12	19	sequences	sequence	NOUN
ejpam-1965	12	20	and	and	CCONJ
ejpam-1965	12	21	generalized	generalized	ADJ
ejpam-1965	12	22	cyclotomic	cyclotomic	ADJ
ejpam-1965	12	23	sequences	sequence	NOUN
ejpam-1965	12	24	respectively	respectively	ADV
ejpam-1965	12	25	,	,	PUNCT
ejpam-1965	12	26	is	be	AUX
ejpam-1965	12	27	an	an	DET
ejpam-1965	12	28	important	important	ADJ
ejpam-1965	12	29	method	method	NOUN
ejpam-1965	12	30	for	for	ADP
ejpam-1965	12	31	sequence	sequence	NOUN
ejpam-1965	12	32	design	design	NOUN
ejpam-1965	12	33	[	[	X
ejpam-1965	12	34	3	3	NUM
ejpam-1965	12	35	]	]	PUNCT
ejpam-1965	12	36	.	.	PUNCT
ejpam-1965	13	1	as	as	SCONJ
ejpam-1965	13	2	we	we	PRON
ejpam-1965	13	3	all	all	PRON
ejpam-1965	13	4	know	know	VERB
ejpam-1965	13	5	,	,	PUNCT
ejpam-1965	13	6	certain	certain	ADJ
ejpam-1965	13	7	classical	classical	ADJ
ejpam-1965	13	8	cyclotomic	cyclotomic	ADJ
ejpam-1965	13	9	sequences	sequence	NOUN
ejpam-1965	13	10	,	,	PUNCT
ejpam-1965	13	11	such	such	ADJ
ejpam-1965	13	12	as	as	ADP
ejpam-1965	13	13	legendre	legendre	PROPN
ejpam-1965	13	14	sequences	sequence	NOUN
ejpam-1965	13	15	and	and	CCONJ
ejpam-1965	13	16	hall	hall	PROPN
ejpam-1965	13	17	sextic	sextic	ADJ
ejpam-1965	13	18	residue	residue	NOUN
ejpam-1965	13	19	sequences	sequence	NOUN
ejpam-1965	13	20	,	,	PUNCT
ejpam-1965	13	21	possess	possess	VERB
ejpam-1965	13	22	good	good	ADJ
ejpam-1965	13	23	linear	linear	ADJ
ejpam-1965	13	24	complexity	complexity	NOUN
ejpam-1965	13	25	and	and	CCONJ
ejpam-1965	13	26	autocorrelation	autocorrelation	NOUN
ejpam-1965	13	27	properties	property	NOUN
ejpam-1965	13	28	(	(	PUNCT
ejpam-1965	13	29	see	see	VERB
ejpam-1965	13	30	[	[	X
ejpam-1965	13	31	8	8	NUM
ejpam-1965	13	32	,	,	PUNCT
ejpam-1965	13	33	11	11	NUM
ejpam-1965	13	34	,	,	PUNCT
ejpam-1965	13	35	13	13	NUM
ejpam-1965	13	36	,	,	PUNCT
ejpam-1965	13	37	16	16	NUM
ejpam-1965	13	38	]	]	PUNCT
ejpam-1965	13	39	)	)	PUNCT
ejpam-1965	13	40	.	.	PUNCT
ejpam-1965	14	1	a	a	DET
ejpam-1965	14	2	generalized	generalize	VERB
ejpam-1965	14	3	cyclotomy	cyclotomy	NOUN
ejpam-1965	14	4	with	with	ADP
ejpam-1965	14	5	respect	respect	NOUN
ejpam-1965	14	6	to	to	ADP
ejpam-1965	14	7	pq	pq	PROPN
ejpam-1965	14	8	was	be	AUX
ejpam-1965	14	9	introduced	introduce	VERB
ejpam-1965	14	10	by	by	ADP
ejpam-1965	14	11	whiteman	whiteman	NOUN
ejpam-1965	14	12	[	[	X
ejpam-1965	14	13	17	17	NUM
ejpam-1965	14	14	]	]	PUNCT
ejpam-1965	14	15	.	.	PUNCT
ejpam-1965	15	1	new	new	ADJ
ejpam-1965	15	2	generalized	generalize	VERB
ejpam-1965	15	3	cyclotomic	cyclotomic	ADJ
ejpam-1965	15	4	sequences	sequence	NOUN
ejpam-1965	15	5	(	(	PUNCT
ejpam-1965	15	6	d	d	X
ejpam-1965	15	7	-	-	PUNCT
ejpam-1965	15	8	gcs2k	gcs2k	ADJ
ejpam-1965	15	9	,	,	PUNCT
ejpam-1965	15	10	where	where	SCONJ
ejpam-1965	15	11	2k	2k	PROPN
ejpam-1965	15	12	is	be	AUX
ejpam-1965	15	13	the	the	DET
ejpam-1965	15	14	order	order	NOUN
ejpam-1965	15	15	)	)	PUNCT
ejpam-1965	15	16	including	include	VERB
ejpam-1965	15	17	classical	classical	ADJ
ejpam-1965	15	18	as	as	ADP
ejpam-1965	15	19	particular	particular	ADJ
ejpam-1965	15	20	,	,	PUNCT
ejpam-1965	15	21	were	be	AUX
ejpam-1965	15	22	defined	define	VERB
ejpam-1965	15	23	by	by	ADP
ejpam-1965	15	24	ding	ding	NOUN
ejpam-1965	15	25	and	and	CCONJ
ejpam-1965	15	26	helleseth	helleseth	NOUN
ejpam-1965	15	27	in	in	ADP
ejpam-1965	15	28	[	[	X
ejpam-1965	15	29	7	7	NUM
ejpam-1965	15	30	]	]	PUNCT
ejpam-1965	15	31	.	.	PUNCT
ejpam-1965	16	1	they	they	PRON
ejpam-1965	16	2	predicted	predict	VERB
ejpam-1965	16	3	that	that	SCONJ
ejpam-1965	16	4	they	they	PRON
ejpam-1965	16	5	may	may	AUX
ejpam-1965	16	6	be	be	AUX
ejpam-1965	16	7	applied	apply	VERB
ejpam-1965	16	8	in	in	ADP
ejpam-1965	16	9	cryptography	cryptography	NOUN
ejpam-1965	16	10	and	and	CCONJ
ejpam-1965	16	11	coding	code	VERB
ejpam-1965	16	12	[	[	X
ejpam-1965	16	13	5	5	NUM
ejpam-1965	16	14	,	,	PUNCT
ejpam-1965	16	15	6	6	NUM
ejpam-1965	16	16	]	]	PUNCT
ejpam-1965	16	17	.	.	PUNCT
ejpam-1965	17	1	further	far	ADV
ejpam-1965	17	2	it	it	PRON
ejpam-1965	17	3	was	be	AUX
ejpam-1965	17	4	shown	show	VERB
ejpam-1965	17	5	that	that	SCONJ
ejpam-1965	17	6	such	such	ADJ
ejpam-1965	17	7	sequences	sequence	NOUN
ejpam-1965	17	8	might	might	AUX
ejpam-1965	17	9	have	have	VERB
ejpam-1965	17	10	poor	poor	ADJ
ejpam-1965	17	11	autocorrelation	autocorrelation	NOUN
ejpam-1965	17	12	properties	property	NOUN
ejpam-1965	17	13	.	.	PUNCT
ejpam-1965	18	1	it	it	PRON
ejpam-1965	18	2	makes	make	VERB
ejpam-1965	18	3	them	they	PRON
ejpam-1965	18	4	difficult	difficult	ADJ
ejpam-1965	18	5	to	to	PART
ejpam-1965	18	6	use	use	VERB
ejpam-1965	18	7	in	in	ADP
ejpam-1965	18	8	engineering	engineering	NOUN
ejpam-1965	18	9	[	[	X
ejpam-1965	18	10	2	2	NUM
ejpam-1965	18	11	,	,	PUNCT
ejpam-1965	18	12	15	15	NUM
ejpam-1965	18	13	]	]	PUNCT
ejpam-1965	18	14	.	.	PUNCT
ejpam-1965	19	1	∗corresponding	∗corresponde	VERB
ejpam-1965	19	2	author	author	NOUN
ejpam-1965	19	3	.	.	PUNCT
ejpam-1965	20	1	email	email	NOUN
ejpam-1965	20	2	address	address	PROPN
ejpam-1965	20	3	:	:	PUNCT
ejpam-1965	20	4	vladimir.edemsky@novsu.ru	vladimir.edemsky@novsu.ru	PROPN
ejpam-1965	20	5	(	(	PUNCT
ejpam-1965	20	6	v.	v.	ADP
ejpam-1965	20	7	edemskiy	edemskiy	NOUN
ejpam-1965	20	8	)	)	PUNCT
ejpam-1965	20	9	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1965	21	1	256	256	NUM
ejpam-1965	21	2	c	c	X
ejpam-1965	21	3	©	©	PROPN
ejpam-1965	21	4	2014	2014	NUM
ejpam-1965	21	5	ejpam	ejpam	NOUN
ejpam-1965	21	6	all	all	DET
ejpam-1965	21	7	rights	right	NOUN
ejpam-1965	21	8	reserved	reserve	VERB
ejpam-1965	21	9	.	.	PUNCT
ejpam-1965	22	1	v.	v.	ADP
ejpam-1965	22	2	edemskiy	edemskiy	NOUN
ejpam-1965	22	3	and	and	CCONJ
ejpam-1965	22	4	o.	o.	INTJ
ejpam-1965	22	5	antonova	antonova	PROPN
ejpam-1965	22	6	/	/	SYM
ejpam-1965	22	7	eur	eur	PROPN
ejpam-1965	22	8	.	.	PUNCT
ejpam-1965	23	1	j.	j.	PROPN
ejpam-1965	23	2	pure	pure	PROPN
ejpam-1965	23	3	appl	appl	PROPN
ejpam-1965	23	4	.	.	PROPN
ejpam-1965	23	5	math	math	PROPN
ejpam-1965	23	6	,	,	PUNCT
ejpam-1965	23	7	7	7	NUM
ejpam-1965	23	8	(	(	PUNCT
ejpam-1965	23	9	2014	2014	NUM
ejpam-1965	23	10	)	)	PUNCT
ejpam-1965	23	11	,	,	PUNCT
ejpam-1965	23	12	256	256	NUM
ejpam-1965	23	13	-	-	SYM
ejpam-1965	23	14	266	266	NUM
ejpam-1965	23	15	257	257	NUM
ejpam-1965	23	16	the	the	DET
ejpam-1965	23	17	d	d	NOUN
ejpam-1965	23	18	-	-	NOUN
ejpam-1965	23	19	gcs2	gcs2	NOUN
ejpam-1965	23	20	with	with	ADP
ejpam-1965	23	21	period	period	NOUN
ejpam-1965	23	22	pq	pq	INTJ
ejpam-1965	23	23	(	(	PUNCT
ejpam-1965	23	24	where	where	SCONJ
ejpam-1965	23	25	p	p	NOUN
ejpam-1965	23	26	and	and	CCONJ
ejpam-1965	23	27	q	q	NOUN
ejpam-1965	23	28	are	be	AUX
ejpam-1965	23	29	distinct	distinct	ADJ
ejpam-1965	23	30	odd	odd	ADJ
ejpam-1965	23	31	primes	prime	NOUN
ejpam-1965	23	32	)	)	PUNCT
ejpam-1965	23	33	have	have	VERB
ejpam-1965	23	34	high	high	ADJ
ejpam-1965	23	35	linear	linear	ADJ
ejpam-1965	23	36	complexity	complexity	NOUN
ejpam-1965	24	1	[	[	X
ejpam-1965	24	2	1	1	NUM
ejpam-1965	24	3	,	,	PUNCT
ejpam-1965	24	4	4	4	NUM
ejpam-1965	24	5	]	]	PUNCT
ejpam-1965	24	6	.	.	PUNCT
ejpam-1965	25	1	later	later	ADV
ejpam-1965	25	2	,	,	PUNCT
ejpam-1965	25	3	the	the	DET
ejpam-1965	25	4	linear	linear	ADJ
ejpam-1965	25	5	complexity	complexity	NOUN
ejpam-1965	25	6	of	of	ADP
ejpam-1965	25	7	the	the	DET
ejpam-1965	25	8	d	d	PROPN
ejpam-1965	25	9	-	-	NOUN
ejpam-1965	25	10	gcs4	gcs4	NOUN
ejpam-1965	25	11	with	with	ADP
ejpam-1965	25	12	period	period	NOUN
ejpam-1965	25	13	pq	pq	PROPN
ejpam-1965	25	14	was	be	AUX
ejpam-1965	25	15	calculated	calculate	VERB
ejpam-1965	25	16	in	in	ADP
ejpam-1965	25	17	[	[	X
ejpam-1965	25	18	19	19	NUM
ejpam-1965	25	19	]	]	PUNCT
ejpam-1965	25	20	.	.	PUNCT
ejpam-1965	26	1	however	however	ADV
ejpam-1965	26	2	there	there	PRON
ejpam-1965	26	3	are	be	VERB
ejpam-1965	26	4	some	some	DET
ejpam-1965	26	5	technical	technical	ADJ
ejpam-1965	26	6	errors	error	NOUN
ejpam-1965	26	7	in	in	ADP
ejpam-1965	26	8	[	[	X
ejpam-1965	26	9	19	19	NUM
ejpam-1965	26	10	]	]	PUNCT
ejpam-1965	26	11	,	,	PUNCT
ejpam-1965	26	12	(	(	PUNCT
ejpam-1965	26	13	lemma	lemma	PROPN
ejpam-1965	26	14	4	4	NUM
ejpam-1965	26	15	)	)	PUNCT
ejpam-1965	26	16	,	,	PUNCT
ejpam-1965	26	17	which	which	PRON
ejpam-1965	26	18	led	lead	VERB
ejpam-1965	26	19	to	to	ADP
ejpam-1965	26	20	wrong	wrong	ADJ
ejpam-1965	26	21	results	result	NOUN
ejpam-1965	26	22	in	in	ADP
ejpam-1965	26	23	some	some	DET
ejpam-1965	26	24	parts	part	NOUN
ejpam-1965	26	25	of	of	ADP
ejpam-1965	26	26	the	the	DET
ejpam-1965	26	27	theorem	theorem	NOUN
ejpam-1965	26	28	2	2	NUM
ejpam-1965	26	29	in	in	ADP
ejpam-1965	26	30	[	[	X
ejpam-1965	26	31	19	19	NUM
ejpam-1965	26	32	]	]	PUNCT
ejpam-1965	26	33	and	and	CCONJ
ejpam-1965	26	34	casting	cast	VERB
ejpam-1965	26	35	doubt	doubt	NOUN
ejpam-1965	26	36	on	on	ADP
ejpam-1965	26	37	the	the	DET
ejpam-1965	26	38	method	method	NOUN
ejpam-1965	26	39	of	of	ADP
ejpam-1965	26	40	this	this	DET
ejpam-1965	26	41	article	article	NOUN
ejpam-1965	26	42	(	(	PUNCT
ejpam-1965	26	43	see	see	VERB
ejpam-1965	26	44	appendix	appendix	NOUN
ejpam-1965	26	45	)	)	PUNCT
ejpam-1965	26	46	.	.	PUNCT
ejpam-1965	27	1	note	note	VERB
ejpam-1965	27	2	that	that	SCONJ
ejpam-1965	27	3	in	in	ADP
ejpam-1965	27	4	[	[	X
ejpam-1965	27	5	18	18	NUM
ejpam-1965	27	6	]	]	PUNCT
ejpam-1965	27	7	t.	t.	PROPN
ejpam-1965	27	8	yan	yan	PROPN
ejpam-1965	27	9	mentions	mention	VERB
ejpam-1965	27	10	his	his	PRON
ejpam-1965	27	11	previous	previous	ADJ
ejpam-1965	27	12	work	work	NOUN
ejpam-1965	28	1	[	[	X
ejpam-1965	28	2	19	19	NUM
ejpam-1965	28	3	]	]	PUNCT
ejpam-1965	28	4	has	have	VERB
ejpam-1965	28	5	an	an	DET
ejpam-1965	28	6	error	error	NOUN
ejpam-1965	28	7	,	,	PUNCT
ejpam-1965	28	8	but	but	CCONJ
ejpam-1965	28	9	does	do	AUX
ejpam-1965	28	10	not	not	PART
ejpam-1965	28	11	indicate	indicate	VERB
ejpam-1965	28	12	exactly	exactly	ADV
ejpam-1965	28	13	where	where	SCONJ
ejpam-1965	28	14	it	it	PRON
ejpam-1965	28	15	is	be	AUX
ejpam-1965	28	16	and	and	CCONJ
ejpam-1965	28	17	how	how	SCONJ
ejpam-1965	28	18	to	to	PART
ejpam-1965	28	19	correct	correct	VERB
ejpam-1965	28	20	it	it	PRON
ejpam-1965	28	21	.	.	PUNCT
ejpam-1965	29	1	the	the	DET
ejpam-1965	29	2	purpose	purpose	NOUN
ejpam-1965	29	3	of	of	ADP
ejpam-1965	29	4	this	this	DET
ejpam-1965	29	5	paper	paper	NOUN
ejpam-1965	29	6	is	be	AUX
ejpam-1965	29	7	to	to	PART
ejpam-1965	29	8	propose	propose	VERB
ejpam-1965	29	9	a	a	DET
ejpam-1965	29	10	new	new	ADJ
ejpam-1965	29	11	computation	computation	NOUN
ejpam-1965	29	12	method	method	NOUN
ejpam-1965	29	13	for	for	ADP
ejpam-1965	29	14	the	the	DET
ejpam-1965	29	15	linear	linear	ADJ
ejpam-1965	29	16	complexity	complexity	NOUN
ejpam-1965	29	17	and	and	CCONJ
ejpam-1965	29	18	the	the	DET
ejpam-1965	29	19	minimal	minimal	ADJ
ejpam-1965	29	20	polynomial	polynomial	NOUN
ejpam-1965	29	21	of	of	ADP
ejpam-1965	29	22	ding	ding	NOUN
ejpam-1965	29	23	-	-	PUNCT
ejpam-1965	29	24	helleseth	helleseth	NOUN
ejpam-1965	29	25	-	-	PUNCT
ejpam-1965	29	26	generalized	generalize	VERB
ejpam-1965	29	27	cyclotomic	cyclotomic	ADJ
ejpam-1965	29	28	sequences	sequence	NOUN
ejpam-1965	29	29	.	.	PUNCT
ejpam-1965	30	1	we	we	PRON
ejpam-1965	30	2	show	show	VERB
ejpam-1965	30	3	that	that	SCONJ
ejpam-1965	30	4	computation	computation	NOUN
ejpam-1965	30	5	of	of	ADP
ejpam-1965	30	6	the	the	DET
ejpam-1965	30	7	linear	linear	ADJ
ejpam-1965	30	8	complexity	complexity	NOUN
ejpam-1965	30	9	of	of	ADP
ejpam-1965	30	10	generalized	generalized	ADJ
ejpam-1965	30	11	cyclotomic	cyclotomic	ADJ
ejpam-1965	30	12	sequences	sequence	NOUN
ejpam-1965	30	13	with	with	ADP
ejpam-1965	30	14	period	period	NOUN
ejpam-1965	30	15	pq	pq	NOUN
ejpam-1965	30	16	reduces	reduce	VERB
ejpam-1965	30	17	to	to	ADP
ejpam-1965	30	18	exploration	exploration	NOUN
ejpam-1965	30	19	of	of	ADP
ejpam-1965	30	20	the	the	DET
ejpam-1965	30	21	classical	classical	ADJ
ejpam-1965	30	22	cyclotomic	cyclotomic	ADJ
ejpam-1965	30	23	sequences	sequence	NOUN
ejpam-1965	30	24	polynomial	polynomial	ADJ
ejpam-1965	30	25	and	and	CCONJ
ejpam-1965	30	26	obtain	obtain	VERB
ejpam-1965	30	27	the	the	DET
ejpam-1965	30	28	linear	linear	ADJ
ejpam-1965	30	29	complexity	complexity	NOUN
ejpam-1965	30	30	of	of	ADP
ejpam-1965	30	31	ding	ding	NOUN
ejpam-1965	30	32	-	-	PUNCT
ejpam-1965	30	33	helleseth	helleseth	NOUN
ejpam-1965	30	34	-	-	PUNCT
ejpam-1965	30	35	generalized	generalize	VERB
ejpam-1965	30	36	sequences	sequence	NOUN
ejpam-1965	30	37	of	of	ADP
ejpam-1965	30	38	order	order	NOUN
ejpam-1965	30	39	four	four	NUM
ejpam-1965	30	40	and	and	CCONJ
ejpam-1965	30	41	six	six	NUM
ejpam-1965	30	42	.	.	PUNCT
ejpam-1965	31	1	we	we	PRON
ejpam-1965	31	2	retain	retain	VERB
ejpam-1965	31	3	notation	notation	NOUN
ejpam-1965	31	4	used	use	VERB
ejpam-1965	31	5	in	in	ADP
ejpam-1965	31	6	[	[	X
ejpam-1965	31	7	19	19	NUM
ejpam-1965	31	8	]	]	PUNCT
ejpam-1965	31	9	.	.	PUNCT
ejpam-1965	32	1	let	let	VERB
ejpam-1965	32	2	p	p	NOUN
ejpam-1965	32	3	and	and	CCONJ
ejpam-1965	32	4	q	q	NOUN
ejpam-1965	32	5	be	be	AUX
ejpam-1965	32	6	two	two	NUM
ejpam-1965	32	7	odd	odd	ADJ
ejpam-1965	32	8	primes	prime	NOUN
ejpam-1965	32	9	with	with	ADP
ejpam-1965	32	10	gcd(p−1	gcd(p−1	NOUN
ejpam-1965	32	11	,	,	PUNCT
ejpam-1965	32	12	q−1	q−1	PROPN
ejpam-1965	32	13	)	)	PUNCT
ejpam-1965	33	1	=	=	PUNCT
ejpam-1965	33	2	d.	d.	PROPN
ejpam-1965	33	3	define	define	VERB
ejpam-1965	33	4	n	n	PROPN
ejpam-1965	33	5	=	=	SYM
ejpam-1965	33	6	pq	pq	PROPN
ejpam-1965	33	7	,	,	PUNCT
ejpam-1965	33	8	e	e	X
ejpam-1965	33	9	=	=	PUNCT
ejpam-1965	33	10	(	(	PUNCT
ejpam-1965	33	11	p−	p−	NOUN
ejpam-1965	33	12	1)(q−	1)(q−	NUM
ejpam-1965	33	13	1)/d	1)/d	NUM
ejpam-1965	33	14	.	.	PUNCT
ejpam-1965	34	1	the	the	DET
ejpam-1965	34	2	chinese	chinese	ADJ
ejpam-1965	34	3	remainder	remainder	NOUN
ejpam-1965	34	4	theorem	theorem	NOUN
ejpam-1965	34	5	guarantees	guarantee	NOUN
ejpam-1965	34	6	that	that	SCONJ
ejpam-1965	34	7	there	there	PRON
ejpam-1965	34	8	exists	exist	VERB
ejpam-1965	34	9	a	a	DET
ejpam-1965	34	10	common	common	ADJ
ejpam-1965	34	11	primitive	primitive	ADJ
ejpam-1965	34	12	root	root	NOUN
ejpam-1965	34	13	,	,	PUNCT
ejpam-1965	34	14	g	g	NOUN
ejpam-1965	34	15	,	,	PUNCT
ejpam-1965	34	16	of	of	ADP
ejpam-1965	34	17	both	both	CCONJ
ejpam-1965	34	18	p	p	NOUN
ejpam-1965	34	19	and	and	CCONJ
ejpam-1965	34	20	q	q	NOUN
ejpam-1965	34	21	,	,	PUNCT
ejpam-1965	34	22	and	and	CCONJ
ejpam-1965	34	23	the	the	DET
ejpam-1965	34	24	order	order	NOUN
ejpam-1965	34	25	of	of	ADP
ejpam-1965	34	26	g	g	PROPN
ejpam-1965	34	27	modulo	modulo	NOUN
ejpam-1965	34	28	n	n	PRON
ejpam-1965	34	29	is	be	AUX
ejpam-1965	34	30	e.	e.	PROPN
ejpam-1965	34	31	let	let	VERB
ejpam-1965	34	32	x	x	PRON
ejpam-1965	34	33	be	be	AUX
ejpam-1965	34	34	an	an	DET
ejpam-1965	34	35	integer	integer	NOUN
ejpam-1965	34	36	satisfying	satisfy	VERB
ejpam-1965	34	37	x	x	PART
ejpam-1965	34	38	≡	≡	PROPN
ejpam-1965	34	39	g(mod	g(mod	PROPN
ejpam-1965	34	40	p	p	X
ejpam-1965	34	41	)	)	PUNCT
ejpam-1965	34	42	,	,	PUNCT
ejpam-1965	34	43	and	and	CCONJ
ejpam-1965	34	44	x	x	PUNCT
ejpam-1965	34	45	≡	≡	PROPN
ejpam-1965	34	46	1(mod	1(mod	NUM
ejpam-1965	34	47	q	q	NOUN
ejpam-1965	34	48	)	)	PUNCT
ejpam-1965	34	49	.	.	PUNCT
ejpam-1965	35	1	thus	thus	ADV
ejpam-1965	35	2	,	,	PUNCT
ejpam-1965	35	3	we	we	PRON
ejpam-1965	35	4	can	can	AUX
ejpam-1965	35	5	get	get	VERB
ejpam-1965	35	6	a	a	DET
ejpam-1965	35	7	subgroup	subgroup	NOUN
ejpam-1965	35	8	of	of	ADP
ejpam-1965	35	9	the	the	DET
ejpam-1965	35	10	residue	residue	NOUN
ejpam-1965	35	11	ring	ring	NOUN
ejpam-1965	35	12	,	,	PUNCT
ejpam-1965	35	13	zn	zn	PROPN
ejpam-1965	35	14	,	,	PUNCT
ejpam-1965	35	15	with	with	ADP
ejpam-1965	35	16	its	its	PRON
ejpam-1965	35	17	multiplication	multiplication	NOUN
ejpam-1965	35	18	[	[	X
ejpam-1965	35	19	17	17	NUM
ejpam-1965	35	20	]	]	PUNCT
ejpam-1965	35	21	,	,	PUNCT
ejpam-1965	35	22	as	as	ADP
ejpam-1965	35	23	the	the	DET
ejpam-1965	35	24	following	follow	VERB
ejpam-1965	35	25	:	:	PUNCT
ejpam-1965	35	26	z∗n	z∗n	NUM
ejpam-1965	35	27	=	=	SYM
ejpam-1965	35	28	{	{	PUNCT
ejpam-1965	35	29	g	g	NOUN
ejpam-1965	35	30	i	i	NOUN
ejpam-1965	35	31	x	x	PROPN
ejpam-1965	35	32	j	j	NOUN
ejpam-1965	35	33	:	:	PUNCT
ejpam-1965	35	34	i	i	NOUN
ejpam-1965	35	35	=	=	NOUN
ejpam-1965	35	36	0,1	0,1	NUM
ejpam-1965	35	37	,	,	PUNCT
ejpam-1965	35	38	.	.	PUNCT
ejpam-1965	35	39	.	.	PUNCT
ejpam-1965	35	40	.	.	PUNCT
ejpam-1965	36	1	e−	e−	PROPN
ejpam-1965	36	2	1	1	NUM
ejpam-1965	36	3	;	;	PUNCT
ejpam-1965	36	4	j	j	PROPN
ejpam-1965	36	5	=	=	SYM
ejpam-1965	36	6	0	0	PROPN
ejpam-1965	36	7	,	,	PUNCT
ejpam-1965	36	8	1	1	NUM
ejpam-1965	36	9	,	,	PUNCT
ejpam-1965	36	10	.	.	PUNCT
ejpam-1965	36	11	.	.	PUNCT
ejpam-1965	36	12	.	.	PUNCT
ejpam-1965	37	1	,	,	PUNCT
ejpam-1965	38	1	d	d	X
ejpam-1965	38	2	−	−	PROPN
ejpam-1965	38	3	1	1	NUM
ejpam-1965	38	4	}	}	PUNCT
ejpam-1965	38	5	.	.	PUNCT
ejpam-1965	39	1	ding	ding	NOUN
ejpam-1965	39	2	-	-	PUNCT
ejpam-1965	39	3	helleseth	helleseth	NOUN
ejpam-1965	39	4	generalized	generalize	VERB
ejpam-1965	39	5	cyclotomic	cyclotomic	ADJ
ejpam-1965	39	6	classes	class	NOUN
ejpam-1965	39	7	of	of	ADP
ejpam-1965	39	8	order	order	NOUN
ejpam-1965	39	9	d	d	NOUN
ejpam-1965	39	10	with	with	ADP
ejpam-1965	39	11	respect	respect	NOUN
ejpam-1965	39	12	to	to	ADP
ejpam-1965	39	13	p	p	NOUN
ejpam-1965	39	14	and	and	CCONJ
ejpam-1965	39	15	q	q	NOUN
ejpam-1965	39	16	are	be	AUX
ejpam-1965	39	17	defined	define	VERB
ejpam-1965	39	18	as	as	ADP
ejpam-1965	39	19	di	di	NOUN
ejpam-1965	39	20	=	=	NOUN
ejpam-1965	39	21	{	{	PUNCT
ejpam-1965	39	22	g	g	PROPN
ejpam-1965	39	23	i+d	i+d	NUM
ejpam-1965	39	24	t	t	NOUN
ejpam-1965	39	25	x	x	X
ejpam-1965	39	26	j	j	PROPN
ejpam-1965	39	27	:	:	PUNCT
ejpam-1965	39	28	t	t	PROPN
ejpam-1965	39	29	=	=	SYM
ejpam-1965	39	30	0,1	0,1	NUM
ejpam-1965	39	31	,	,	PUNCT
ejpam-1965	39	32	.	.	PUNCT
ejpam-1965	39	33	.	.	PUNCT
ejpam-1965	39	34	.	.	PUNCT
ejpam-1965	40	1	e	e	X
ejpam-1965	40	2	/	/	SYM
ejpam-1965	40	3	d	d	NOUN
ejpam-1965	40	4	−	−	PROPN
ejpam-1965	40	5	1	1	NUM
ejpam-1965	40	6	;	;	PUNCT
ejpam-1965	40	7	j	j	PROPN
ejpam-1965	40	8	=	=	SYM
ejpam-1965	40	9	0,1	0,1	NUM
ejpam-1965	40	10	,	,	PUNCT
ejpam-1965	40	11	.	.	PUNCT
ejpam-1965	40	12	.	.	PUNCT
ejpam-1965	40	13	.	.	PUNCT
ejpam-1965	41	1	,	,	PUNCT
ejpam-1965	42	1	d	d	X
ejpam-1965	42	2	−	−	NOUN
ejpam-1965	42	3	1	1	NUM
ejpam-1965	42	4	}	}	PUNCT
ejpam-1965	42	5	,	,	PUNCT
ejpam-1965	42	6	where	where	SCONJ
ejpam-1965	42	7	i	i	PRON
ejpam-1965	42	8	=	=	NOUN
ejpam-1965	42	9	0,1	0,1	NUM
ejpam-1965	42	10	,	,	PUNCT
ejpam-1965	42	11	.	.	PUNCT
ejpam-1965	42	12	.	.	PUNCT
ejpam-1965	42	13	.	.	PUNCT
ejpam-1965	43	1	d	d	NOUN
ejpam-1965	43	2	−	−	NOUN
ejpam-1965	44	1	1	1	NUM
ejpam-1965	45	1	[	[	X
ejpam-1965	45	2	7	7	NUM
ejpam-1965	45	3	]	]	PUNCT
ejpam-1965	45	4	.	.	PUNCT
ejpam-1965	46	1	then	then	ADV
ejpam-1965	46	2	z∗n	z∗n	NUM
ejpam-1965	46	3	=	=	SYM
ejpam-1965	46	4	⋃d−1	⋃d−1	X
ejpam-1965	46	5	i=0	i=0	PROPN
ejpam-1965	46	6	di	di	X
ejpam-1965	46	7	,	,	PUNCT
ejpam-1965	46	8	di	di	X
ejpam-1965	46	9	∩	∩	ADJ
ejpam-1965	46	10	dj	dj	NOUN
ejpam-1965	46	11	=	=	NOUN
ejpam-1965	46	12	∅	∅	NOUN
ejpam-1965	46	13	for	for	ADP
ejpam-1965	46	14	i	i	PROPN
ejpam-1965	46	15	6=	6=	PROPN
ejpam-1965	46	16	j	j	PROPN
ejpam-1965	46	17	,	,	PUNCT
ejpam-1965	46	18	where	where	SCONJ
ejpam-1965	46	19	∅	∅	NOUN
ejpam-1965	46	20	denotes	denote	VERB
ejpam-1965	46	21	the	the	DET
ejpam-1965	46	22	empty	empty	ADJ
ejpam-1965	46	23	set	set	NOUN
ejpam-1965	46	24	.	.	PUNCT
ejpam-1965	47	1	by	by	ADP
ejpam-1965	47	2	definition	definition	NOUN
ejpam-1965	47	3	,	,	PUNCT
ejpam-1965	47	4	put	put	VERB
ejpam-1965	47	5	d(p)i	d(p)i	NOUN
ejpam-1965	47	6	=	=	PUNCT
ejpam-1965	47	7	{	{	PUNCT
ejpam-1965	47	8	gd	gd	NOUN
ejpam-1965	47	9	t+i	t+i	PROPN
ejpam-1965	47	10	:	:	PUNCT
ejpam-1965	48	1	t	t	X
ejpam-1965	48	2	=	=	SYM
ejpam-1965	48	3	0	0	NUM
ejpam-1965	48	4	,	,	PUNCT
ejpam-1965	48	5	1	1	NUM
ejpam-1965	48	6	,	,	PUNCT
ejpam-1965	48	7	.	.	PUNCT
ejpam-1965	48	8	.	.	PUNCT
ejpam-1965	48	9	.	.	PUNCT
ejpam-1965	49	1	(	(	PUNCT
ejpam-1965	49	2	p−	p−	NOUN
ejpam-1965	49	3	1)/d	1)/d	NUM
ejpam-1965	49	4	−	−	NOUN
ejpam-1965	49	5	1	1	NUM
ejpam-1965	49	6	}	}	PUNCT
ejpam-1965	49	7	,	,	PUNCT
ejpam-1965	49	8	d(q)i	d(q)i	PROPN
ejpam-1965	49	9	=	=	PUNCT
ejpam-1965	49	10	{	{	PUNCT
ejpam-1965	49	11	g	g	PROPN
ejpam-1965	49	12	d	d	X
ejpam-1965	49	13	t+i	t+i	PROPN
ejpam-1965	49	14	:	:	PUNCT
ejpam-1965	49	15	t	t	X
ejpam-1965	49	16	=	=	SYM
ejpam-1965	49	17	0,1	0,1	NUM
ejpam-1965	49	18	,	,	PUNCT
ejpam-1965	49	19	.	.	PUNCT
ejpam-1965	49	20	.	.	PUNCT
ejpam-1965	49	21	.	.	PUNCT
ejpam-1965	50	1	(	(	PUNCT
ejpam-1965	50	2	q−	q−	PROPN
ejpam-1965	50	3	1)/d	1)/d	NUM
ejpam-1965	50	4	−	−	NOUN
ejpam-1965	50	5	1	1	NUM
ejpam-1965	50	6	}	}	PUNCT
ejpam-1965	50	7	and	and	CCONJ
ejpam-1965	50	8	pi	pi	NOUN
ejpam-1965	50	9	=	=	SYM
ejpam-1965	50	10	pd(q)i	pd(q)i	PROPN
ejpam-1965	50	11	,	,	PUNCT
ejpam-1965	50	12	q	q	PROPN
ejpam-1965	51	1	i	i	PRON
ejpam-1965	51	2	=	=	SYM
ejpam-1965	51	3	qd(p)i	qd(p)i	PROPN
ejpam-1965	51	4	,	,	PUNCT
ejpam-1965	51	5	where	where	SCONJ
ejpam-1965	51	6	i	i	NOUN
ejpam-1965	51	7	=	=	NOUN
ejpam-1965	51	8	0,1	0,1	NUM
ejpam-1965	51	9	,	,	PUNCT
ejpam-1965	51	10	.	.	PUNCT
ejpam-1965	51	11	.	.	PUNCT
ejpam-1965	51	12	.	.	PUNCT
ejpam-1965	52	1	d	d	NOUN
ejpam-1965	52	2	−	−	NOUN
ejpam-1965	53	1	1	1	X
ejpam-1965	53	2	.	.	PUNCT
ejpam-1965	54	1	let	let	VERB
ejpam-1965	54	2	c0	c0	PROPN
ejpam-1965	54	3	=	=	PUNCT
ejpam-1965	54	4	⋃d/2−1	⋃d/2−1	ADP
ejpam-1965	54	5	i=0	i=0	PROPN
ejpam-1965	54	6	�	�	PROPN
ejpam-1965	54	7	di	di	X
ejpam-1965	54	8	∪	∪	PROPN
ejpam-1965	54	9	pi	pi	PROPN
ejpam-1965	54	10	∪q	∪q	PUNCT
ejpam-1965	54	11	i	i	PRON
ejpam-1965	54	12	�	�	PROPN
ejpam-1965	54	13	∪	∪	X
ejpam-1965	54	14	{	{	PUNCT
ejpam-1965	54	15	0	0	NUM
ejpam-1965	54	16	}	}	PUNCT
ejpam-1965	54	17	,	,	PUNCT
ejpam-1965	54	18	c1	c1	PROPN
ejpam-1965	54	19	=	=	PROPN
ejpam-1965	54	20	⋃d−1	⋃d−1	NOUN
ejpam-1965	55	1	i	i	PROPN
ejpam-1965	55	2	=	=	PROPN
ejpam-1965	55	3	d/2	d/2	PROPN
ejpam-1965	55	4	�	�	PROPN
ejpam-1965	55	5	di	di	X
ejpam-1965	55	6	∪	∪	X
ejpam-1965	55	7	pi	pi	PROPN
ejpam-1965	55	8	∪q	∪q	X
ejpam-1965	55	9	i	i	PRON
ejpam-1965	55	10	�	�	PROPN
ejpam-1965	55	11	then	then	ADV
ejpam-1965	55	12	zpq	zpq	VERB
ejpam-1965	55	13	=	=	PUNCT
ejpam-1965	55	14	c0	c0	PROPN
ejpam-1965	55	15	∪	∪	X
ejpam-1965	55	16	c1	c1	PROPN
ejpam-1965	55	17	and	and	CCONJ
ejpam-1965	55	18	c0	c0	PROPN
ejpam-1965	55	19	∩	∩	PROPN
ejpam-1965	55	20	c1	c1	PROPN
ejpam-1965	55	21	=	=	AUX
ejpam-1965	55	22	∅.	∅.	VERB
ejpam-1965	55	23	ding	ding	NOUN
ejpam-1965	55	24	-	-	PUNCT
ejpam-1965	55	25	helleseth	helleseth	NOUN
ejpam-1965	55	26	-	-	PUNCT
ejpam-1965	55	27	generalized	generalize	VERB
ejpam-1965	55	28	cyclotomic	cyclotomic	ADJ
ejpam-1965	55	29	sequence	sequence	NOUN
ejpam-1965	55	30	of	of	ADP
ejpam-1965	55	31	order	order	NOUN
ejpam-1965	55	32	d	d	NOUN
ejpam-1965	55	33	(	(	PUNCT
ejpam-1965	55	34	d	d	NOUN
ejpam-1965	55	35	-	-	PUNCT
ejpam-1965	55	36	gcsd	gcsd	NOUN
ejpam-1965	55	37	)	)	PUNCT
ejpam-1965	55	38	,	,	PUNCT
ejpam-1965	55	39	with	with	ADP
ejpam-1965	55	40	s∞	s∞	PROPN
ejpam-1965	55	41	=	=	SYM
ejpam-1965	55	42	{	{	PUNCT
ejpam-1965	55	43	s0	s0	PROPN
ejpam-1965	55	44	,	,	PUNCT
ejpam-1965	55	45	s1	s1	NOUN
ejpam-1965	55	46	,	,	PUNCT
ejpam-1965	55	47	.	.	PUNCT
ejpam-1965	55	48	.	.	PUNCT
ejpam-1965	55	49	.	.	PUNCT
ejpam-1965	56	1	,	,	PUNCT
ejpam-1965	56	2	si	si	INTJ
ejpam-1965	56	3	,	,	PUNCT
ejpam-1965	56	4	.	.	PUNCT
ejpam-1965	56	5	.	.	PUNCT
ejpam-1965	57	1	.	.	PUNCT
ejpam-1965	57	2	}	}	PUNCT
ejpam-1965	58	1	is	be	AUX
ejpam-1965	58	2	defined	define	VERB
ejpam-1965	58	3	as	as	ADP
ejpam-1965	58	4	si	si	NOUN
ejpam-1965	58	5	=	=	NOUN
ejpam-1965	58	6	¨	¨	NOUN
ejpam-1965	58	7	1	1	NUM
ejpam-1965	58	8	,	,	PUNCT
ejpam-1965	58	9	if	if	SCONJ
ejpam-1965	58	10	i	i	PRON
ejpam-1965	58	11	mod	mod	VERB
ejpam-1965	58	12	n	n	CCONJ
ejpam-1965	58	13	∈	∈	PROPN
ejpam-1965	58	14	c1	c1	NOUN
ejpam-1965	58	15	,	,	PUNCT
ejpam-1965	58	16	0	0	NUM
ejpam-1965	58	17	,	,	PUNCT
ejpam-1965	58	18	otherwise	otherwise	ADV
ejpam-1965	58	19	.	.	PUNCT
ejpam-1965	58	20	.	.	PUNCT
ejpam-1965	59	1	then	then	ADV
ejpam-1965	59	2	s∞	s∞	NOUN
ejpam-1965	59	3	possesses	possess	VERB
ejpam-1965	59	4	the	the	DET
ejpam-1965	59	5	minimum	minimum	ADJ
ejpam-1965	59	6	period	period	NOUN
ejpam-1965	59	7	pq	pq	NOUN
ejpam-1965	59	8	,	,	PUNCT
ejpam-1965	59	9	and	and	CCONJ
ejpam-1965	59	10	the	the	DET
ejpam-1965	59	11	almost	almost	ADV
ejpam-1965	59	12	balance	balance	NOUN
ejpam-1965	59	13	of	of	ADP
ejpam-1965	59	14	the	the	DET
ejpam-1965	59	15	symbols	symbol	NOUN
ejpam-1965	59	16	1s	1s	NUM
ejpam-1965	59	17	and	and	CCONJ
ejpam-1965	59	18	0s	0s	NOUN
ejpam-1965	59	19	.	.	PUNCT
ejpam-1965	60	1	2	2	X
ejpam-1965	60	2	.	.	X
ejpam-1965	60	3	a	a	DET
ejpam-1965	60	4	computation	computation	NOUN
ejpam-1965	60	5	method	method	NOUN
ejpam-1965	60	6	for	for	ADP
ejpam-1965	60	7	linear	linear	ADJ
ejpam-1965	60	8	complexity	complexity	NOUN
ejpam-1965	60	9	of	of	ADP
ejpam-1965	60	10	ding	ding	NOUN
ejpam-1965	60	11	-	-	PUNCT
ejpam-1965	60	12	helleseth	helleseth	NOUN
ejpam-1965	60	13	-	-	PUNCT
ejpam-1965	60	14	generalized	generalize	VERB
ejpam-1965	60	15	cyclotomic	cyclotomic	ADJ
ejpam-1965	60	16	sequences	sequence	NOUN
ejpam-1965	60	17	with	with	ADP
ejpam-1965	60	18	period	period	NOUN
ejpam-1965	60	19	pq	pq	NOUN
ejpam-1965	60	20	for	for	ADP
ejpam-1965	60	21	a	a	DET
ejpam-1965	60	22	binary	binary	ADJ
ejpam-1965	60	23	sequence	sequence	NOUN
ejpam-1965	60	24	,	,	PUNCT
ejpam-1965	60	25	s∞	s∞	PROPN
ejpam-1965	60	26	,	,	PUNCT
ejpam-1965	60	27	with	with	ADP
ejpam-1965	60	28	period	period	NOUN
ejpam-1965	61	1	n	n	CCONJ
ejpam-1965	61	2	,	,	PUNCT
ejpam-1965	61	3	if	if	SCONJ
ejpam-1965	61	4	sn	sn	PROPN
ejpam-1965	61	5	(	(	PUNCT
ejpam-1965	61	6	x	x	X
ejpam-1965	61	7	)	)	PUNCT
ejpam-1965	61	8	=	=	SYM
ejpam-1965	61	9	s0	s0	PROPN
ejpam-1965	61	10	+	+	CCONJ
ejpam-1965	61	11	s1	s1	PROPN
ejpam-1965	61	12	x	x	PUNCT
ejpam-1965	62	1	+	+	CCONJ
ejpam-1965	62	2	.	.	PUNCT
ejpam-1965	62	3	.	.	PUNCT
ejpam-1965	63	1	.+	.+	NOUN
ejpam-1965	63	2	sn−1	sn−1	PROPN
ejpam-1965	63	3	xn−1	xn−1	PROPN
ejpam-1965	63	4	,	,	PUNCT
ejpam-1965	63	5	then	then	ADV
ejpam-1965	63	6	its	its	PRON
ejpam-1965	63	7	minimal	minimal	ADJ
ejpam-1965	63	8	polynomial	polynomial	ADJ
ejpam-1965	63	9	and	and	CCONJ
ejpam-1965	63	10	linear	linear	ADJ
ejpam-1965	63	11	complexity	complexity	NOUN
ejpam-1965	63	12	can	can	AUX
ejpam-1965	63	13	be	be	AUX
ejpam-1965	63	14	calculated	calculate	VERB
ejpam-1965	63	15	by	by	ADP
ejpam-1965	63	16	the	the	DET
ejpam-1965	63	17	following	follow	VERB
ejpam-1965	63	18	equations	equation	NOUN
ejpam-1965	63	19	[	[	X
ejpam-1965	63	20	14	14	NUM
ejpam-1965	63	21	]	]	SYM
ejpam-1965	63	22	:	:	PUNCT
ejpam-1965	63	23	m(x	m(x	X
ejpam-1965	63	24	)	)	PUNCT
ejpam-1965	63	25	=	=	SYM
ejpam-1965	64	1	(	(	PUNCT
ejpam-1965	64	2	xn	xn	PROPN
ejpam-1965	64	3	−	−	PROPN
ejpam-1965	64	4	1)/[gcd(xn	1)/[gcd(xn	NUM
ejpam-1965	64	5	−	−	NOUN
ejpam-1965	64	6	1	1	NUM
ejpam-1965	64	7	,	,	PUNCT
ejpam-1965	64	8	sn	sn	INTJ
ejpam-1965	64	9	(	(	PUNCT
ejpam-1965	64	10	x	x	NOUN
ejpam-1965	64	11	)	)	PUNCT
ejpam-1965	64	12	)	)	PUNCT
ejpam-1965	64	13	]	]	PUNCT
ejpam-1965	64	14	.	.	PUNCT
ejpam-1965	65	1	(	(	PUNCT
ejpam-1965	65	2	1	1	X
ejpam-1965	65	3	)	)	PUNCT
ejpam-1965	65	4	v.	v.	ADP
ejpam-1965	65	5	edemskiy	edemskiy	NOUN
ejpam-1965	65	6	and	and	CCONJ
ejpam-1965	65	7	o.	o.	INTJ
ejpam-1965	65	8	antonova	antonova	PROPN
ejpam-1965	65	9	/	/	SYM
ejpam-1965	65	10	eur	eur	PROPN
ejpam-1965	65	11	.	.	PUNCT
ejpam-1965	66	1	j.	j.	PROPN
ejpam-1965	66	2	pure	pure	PROPN
ejpam-1965	66	3	appl	appl	PROPN
ejpam-1965	66	4	.	.	PROPN
ejpam-1965	66	5	math	math	PROPN
ejpam-1965	66	6	,	,	PUNCT
ejpam-1965	66	7	7	7	NUM
ejpam-1965	66	8	(	(	PUNCT
ejpam-1965	66	9	2014	2014	NUM
ejpam-1965	66	10	)	)	PUNCT
ejpam-1965	66	11	,	,	PUNCT
ejpam-1965	66	12	256	256	NUM
ejpam-1965	66	13	-	-	SYM
ejpam-1965	66	14	266	266	NUM
ejpam-1965	66	15	258	258	NUM
ejpam-1965	66	16	l(s∞	l(s∞	NOUN
ejpam-1965	66	17	)	)	PUNCT
ejpam-1965	66	18	=	=	SYM
ejpam-1965	67	1	n	n	NUM
ejpam-1965	68	1	−	−	PROPN
ejpam-1965	68	2	deg[gcd(xn	deg[gcd(xn	NOUN
ejpam-1965	68	3	−	−	NOUN
ejpam-1965	68	4	1	1	NUM
ejpam-1965	68	5	,	,	PUNCT
ejpam-1965	68	6	sn	sn	INTJ
ejpam-1965	68	7	(	(	PUNCT
ejpam-1965	68	8	x	x	NOUN
ejpam-1965	68	9	)	)	PUNCT
ejpam-1965	68	10	)	)	PUNCT
ejpam-1965	68	11	]	]	PUNCT
ejpam-1965	68	12	.	.	PUNCT
ejpam-1965	69	1	(	(	PUNCT
ejpam-1965	69	2	2	2	X
ejpam-1965	69	3	)	)	PUNCT
ejpam-1965	69	4	let	let	VERB
ejpam-1965	69	5	α	α	PRON
ejpam-1965	69	6	be	be	AUX
ejpam-1965	69	7	a	a	DET
ejpam-1965	69	8	primitive	primitive	ADJ
ejpam-1965	69	9	n	n	CCONJ
ejpam-1965	69	10	-th	-th	NOUN
ejpam-1965	69	11	root	root	NOUN
ejpam-1965	69	12	of	of	ADP
ejpam-1965	69	13	unity	unity	NOUN
ejpam-1965	69	14	over	over	ADP
ejpam-1965	69	15	the	the	DET
ejpam-1965	69	16	field	field	NOUN
ejpam-1965	69	17	gf(2	gf(2	PROPN
ejpam-1965	69	18	m	m	NOUN
ejpam-1965	69	19	)	)	PUNCT
ejpam-1965	69	20	that	that	PRON
ejpam-1965	69	21	is	be	AUX
ejpam-1965	69	22	the	the	DET
ejpam-1965	69	23	splitting	splitting	NOUN
ejpam-1965	69	24	field	field	NOUN
ejpam-1965	69	25	of	of	ADP
ejpam-1965	69	26	xn	xn	PROPN
ejpam-1965	69	27	−1	−1	NOUN
ejpam-1965	69	28	.	.	PUNCT
ejpam-1965	70	1	then	then	ADV
ejpam-1965	70	2	,	,	PUNCT
ejpam-1965	70	3	by	by	ADP
ejpam-1965	70	4	(	(	PUNCT
ejpam-1965	70	5	2	2	NUM
ejpam-1965	70	6	)	)	PUNCT
ejpam-1965	70	7	,	,	PUNCT
ejpam-1965	70	8	we	we	PRON
ejpam-1965	70	9	have	have	VERB
ejpam-1965	70	10	l(s∞	l(s∞	NOUN
ejpam-1965	70	11	)	)	PUNCT
ejpam-1965	70	12	=	=	SYM
ejpam-1965	71	1	n	n	PRON
ejpam-1965	71	2	−	−	PROPN
ejpam-1965	71	3	�	�	PROPN
ejpam-1965	71	4	�	�	PROPN
ejpam-1965	71	5	{	{	PUNCT
ejpam-1965	71	6	j	j	PROPN
ejpam-1965	71	7	�	�	PROPN
ejpam-1965	71	8	�	�	PROPN
ejpam-1965	71	9	s(α	s(α	PROPN
ejpam-1965	71	10	j	j	PROPN
ejpam-1965	71	11	)	)	PUNCT
ejpam-1965	71	12	=	=	SYM
ejpam-1965	71	13	0	0	NUM
ejpam-1965	71	14	,	,	PUNCT
ejpam-1965	71	15	j	j	X
ejpam-1965	71	16	=	=	SYM
ejpam-1965	71	17	0,1	0,1	NUM
ejpam-1965	71	18	,	,	PUNCT
ejpam-1965	71	19	.	.	PUNCT
ejpam-1965	71	20	.	.	PUNCT
ejpam-1965	71	21	.	.	PUNCT
ejpam-1965	71	22	,	,	PUNCT
ejpam-1965	72	1	n	n	CCONJ
ejpam-1965	72	2	−	−	PROPN
ejpam-1965	72	3	1	1	NUM
ejpam-1965	72	4	}	}	PUNCT
ejpam-1965	72	5	�	�	PROPN
ejpam-1965	72	6	�	�	PROPN
ejpam-1965	72	7	.	.	PUNCT
ejpam-1965	73	1	(	(	PUNCT
ejpam-1965	73	2	3	3	X
ejpam-1965	73	3	)	)	PUNCT
ejpam-1965	73	4	where	where	SCONJ
ejpam-1965	73	5	s(x	s(x	NOUN
ejpam-1965	73	6	)	)	PUNCT
ejpam-1965	73	7	is	be	AUX
ejpam-1965	73	8	defined	define	VERB
ejpam-1965	73	9	by	by	ADP
ejpam-1965	73	10	s(x	s(x	NOUN
ejpam-1965	73	11	)	)	PUNCT
ejpam-1965	73	12	=	=	PUNCT
ejpam-1965	73	13	∑	∑	PUNCT
ejpam-1965	73	14	i∈c1	i∈c1	VERB
ejpam-1965	73	15	x	x	PUNCT
ejpam-1965	74	1	i	i	PRON
ejpam-1965	74	2	.	.	PUNCT
ejpam-1965	75	1	so	so	ADV
ejpam-1965	75	2	,	,	PUNCT
ejpam-1965	75	3	the	the	DET
ejpam-1965	75	4	computation	computation	NOUN
ejpam-1965	75	5	of	of	ADP
ejpam-1965	75	6	the	the	DET
ejpam-1965	75	7	linear	linear	ADJ
ejpam-1965	75	8	complexity	complexity	NOUN
ejpam-1965	75	9	and	and	CCONJ
ejpam-1965	75	10	the	the	DET
ejpam-1965	75	11	minimal	minimal	ADJ
ejpam-1965	75	12	polynomial	polynomial	NOUN
ejpam-1965	75	13	of	of	ADP
ejpam-1965	75	14	the	the	DET
ejpam-1965	75	15	sequence	sequence	NOUN
ejpam-1965	75	16	s∞	s∞	NOUN
ejpam-1965	75	17	turns	turn	VERB
ejpam-1965	75	18	into	into	ADP
ejpam-1965	75	19	the	the	DET
ejpam-1965	75	20	computation	computation	NOUN
ejpam-1965	75	21	of	of	ADP
ejpam-1965	75	22	roots	root	NOUN
ejpam-1965	75	23	of	of	ADP
ejpam-1965	75	24	its	its	PRON
ejpam-1965	75	25	polynomial	polynomial	NOUN
ejpam-1965	75	26	.	.	PUNCT
ejpam-1965	76	1	let	let	VERB
ejpam-1965	76	2	β	β	NOUN
ejpam-1965	76	3	=	=	PUNCT
ejpam-1965	76	4	αq	αq	PROPN
ejpam-1965	76	5	and	and	CCONJ
ejpam-1965	76	6	γ	γ	X
ejpam-1965	76	7	=	=	PUNCT
ejpam-1965	76	8	αp	αp	NOUN
ejpam-1965	76	9	,	,	PUNCT
ejpam-1965	76	10	then	then	ADV
ejpam-1965	76	11	β	β	PROPN
ejpam-1965	76	12	and	and	CCONJ
ejpam-1965	76	13	γ	γ	NOUN
ejpam-1965	76	14	are	be	AUX
ejpam-1965	76	15	primitive	primitive	ADJ
ejpam-1965	76	16	p	p	NOUN
ejpam-1965	76	17	-	-	PUNCT
ejpam-1965	76	18	th	th	X
ejpam-1965	76	19	and	and	CCONJ
ejpam-1965	76	20	q	q	NOUN
ejpam-1965	76	21	-	-	PUNCT
ejpam-1965	76	22	th	th	VERB
ejpam-1965	76	23	roots	root	NOUN
ejpam-1965	76	24	of	of	ADP
ejpam-1965	76	25	unity	unity	NOUN
ejpam-1965	76	26	in	in	ADP
ejpam-1965	76	27	the	the	DET
ejpam-1965	76	28	extension	extension	NOUN
ejpam-1965	76	29	of	of	ADP
ejpam-1965	76	30	field	field	NOUN
ejpam-1965	76	31	gf(2	gf(2	PROPN
ejpam-1965	76	32	)	)	PUNCT
ejpam-1965	76	33	.	.	PUNCT
ejpam-1965	77	1	there	there	PRON
ejpam-1965	77	2	exist	exist	VERB
ejpam-1965	77	3	integers	integer	NOUN
ejpam-1965	77	4	a	a	DET
ejpam-1965	77	5	,	,	PUNCT
ejpam-1965	77	6	b	b	PROPN
ejpam-1965	78	1	[	[	X
ejpam-1965	78	2	12	12	NUM
ejpam-1965	78	3	]	]	X
ejpam-1965	78	4	,	,	PUNCT
ejpam-1965	78	5	such	such	ADJ
ejpam-1965	78	6	that	that	SCONJ
ejpam-1965	78	7	aq+	aq+	ADJ
ejpam-1965	78	8	bp	bp	PROPN
ejpam-1965	78	9	=	=	SYM
ejpam-1965	78	10	1	1	X
ejpam-1965	78	11	.	.	PUNCT
ejpam-1965	78	12	(	(	PUNCT
ejpam-1965	78	13	4	4	NUM
ejpam-1965	78	14	)	)	PUNCT
ejpam-1965	78	15	then	then	ADV
ejpam-1965	78	16	α=	α=	NOUN
ejpam-1965	78	17	βaγb	βaγb	NOUN
ejpam-1965	78	18	.	.	PUNCT
ejpam-1965	79	1	(	(	PUNCT
ejpam-1965	79	2	5	5	X
ejpam-1965	79	3	)	)	PUNCT
ejpam-1965	79	4	let	let	VERB
ejpam-1965	79	5	ind(q)g	ind(q)g	ADV
ejpam-1965	79	6	c	c	AUX
ejpam-1965	79	7	be	be	AUX
ejpam-1965	79	8	discrete	discrete	ADJ
ejpam-1965	79	9	logarithm	logarithm	NOUN
ejpam-1965	79	10	of	of	ADP
ejpam-1965	79	11	c	c	PROPN
ejpam-1965	79	12	in	in	ADP
ejpam-1965	79	13	the	the	DET
ejpam-1965	79	14	field	field	NOUN
ejpam-1965	79	15	gf(q	gf(q	NOUN
ejpam-1965	79	16	)	)	PUNCT
ejpam-1965	79	17	relative	relative	ADJ
ejpam-1965	79	18	to	to	ADP
ejpam-1965	79	19	the	the	DET
ejpam-1965	79	20	basis	basis	NOUN
ejpam-1965	79	21	g.	g.	NOUN
ejpam-1965	79	22	by	by	ADP
ejpam-1965	79	23	definition	definition	NOUN
ejpam-1965	79	24	of	of	ADP
ejpam-1965	79	25	the	the	DET
ejpam-1965	79	26	discrete	discrete	ADJ
ejpam-1965	79	27	logarithm	logarithm	NOUN
ejpam-1965	79	28	p	p	PROPN
ejpam-1965	79	29	≡	≡	PROPN
ejpam-1965	80	1	g	g	PROPN
ejpam-1965	80	2	ind(q)g	ind(q)g	PROPN
ejpam-1965	80	3	p(modq	p(modq	NOUN
ejpam-1965	80	4	)	)	PUNCT
ejpam-1965	80	5	,	,	PUNCT
ejpam-1965	80	6	hence	hence	ADV
ejpam-1965	80	7	from	from	ADP
ejpam-1965	80	8	(	(	PUNCT
ejpam-1965	80	9	4	4	X
ejpam-1965	80	10	)	)	PUNCT
ejpam-1965	80	11	we	we	PRON
ejpam-1965	80	12	have	have	VERB
ejpam-1965	80	13	b	b	NUM
ejpam-1965	80	14	≡	≡	ADJ
ejpam-1965	80	15	g−ind(q)g	g−ind(q)g	PROPN
ejpam-1965	80	16	p(modq	p(modq	NOUN
ejpam-1965	80	17	)	)	PUNCT
ejpam-1965	80	18	.	.	PUNCT
ejpam-1965	81	1	(	(	PUNCT
ejpam-1965	81	2	6	6	NUM
ejpam-1965	81	3	)	)	PUNCT
ejpam-1965	81	4	to	to	PART
ejpam-1965	81	5	explore	explore	VERB
ejpam-1965	81	6	the	the	DET
ejpam-1965	81	7	properties	property	NOUN
ejpam-1965	81	8	of	of	ADP
ejpam-1965	81	9	the	the	DET
ejpam-1965	81	10	polynomial	polynomial	ADJ
ejpam-1965	81	11	s(x	s(x	PROPN
ejpam-1965	81	12	)	)	PUNCT
ejpam-1965	81	13	,	,	PUNCT
ejpam-1965	81	14	let	let	VERB
ejpam-1965	81	15	us	we	PRON
ejpam-1965	81	16	introduce	introduce	VERB
ejpam-1965	81	17	auxiliary	auxiliary	ADJ
ejpam-1965	81	18	polynomials	polynomial	NOUN
ejpam-1965	81	19	sd(x	sd(x	PUNCT
ejpam-1965	81	20	)	)	PUNCT
ejpam-1965	82	1	=	=	SYM
ejpam-1965	82	2	∑	∑	PUNCT
ejpam-1965	82	3	u∈d(p)0	u∈d(p)0	PROPN
ejpam-1965	82	4	xu	xu	PROPN
ejpam-1965	82	5	and	and	CCONJ
ejpam-1965	82	6	td(x	td(x	PUNCT
ejpam-1965	82	7	)	)	PUNCT
ejpam-1965	82	8	=	=	SYM
ejpam-1965	82	9	∑	∑	PUNCT
ejpam-1965	82	10	v∈d(q)0	v∈d(q)0	INTJ
ejpam-1965	82	11	x	x	SYM
ejpam-1965	82	12	v	v	NOUN
ejpam-1965	82	13	.	.	PUNCT
ejpam-1965	83	1	properties	property	NOUN
ejpam-1965	83	2	of	of	ADP
ejpam-1965	83	3	polynomials	polynomial	NOUN
ejpam-1965	83	4	sd(x	sd(x	PUNCT
ejpam-1965	83	5	)	)	PUNCT
ejpam-1965	83	6	and	and	CCONJ
ejpam-1965	83	7	td(x	td(x	NUM
ejpam-1965	83	8	)	)	PUNCT
ejpam-1965	83	9	are	be	AUX
ejpam-1965	83	10	obtained	obtain	VERB
ejpam-1965	83	11	in	in	ADP
ejpam-1965	83	12	[	[	X
ejpam-1965	83	13	9	9	NUM
ejpam-1965	83	14	,	,	PUNCT
ejpam-1965	83	15	10	10	NUM
ejpam-1965	83	16	]	]	PUNCT
ejpam-1965	83	17	(	(	PUNCT
ejpam-1965	83	18	see	see	VERB
ejpam-1965	83	19	also	also	ADV
ejpam-1965	83	20	[	[	X
ejpam-1965	83	21	8	8	NUM
ejpam-1965	83	22	,	,	PUNCT
ejpam-1965	83	23	13	13	NUM
ejpam-1965	83	24	]	]	PUNCT
ejpam-1965	83	25	)	)	PUNCT
ejpam-1965	83	26	.	.	PUNCT
ejpam-1965	84	1	in	in	ADP
ejpam-1965	84	2	particular	particular	ADJ
ejpam-1965	84	3	from	from	ADP
ejpam-1965	84	4	[	[	X
ejpam-1965	84	5	9	9	NUM
ejpam-1965	84	6	]	]	PUNCT
ejpam-1965	84	7	we	we	PRON
ejpam-1965	84	8	have	have	VERB
ejpam-1965	84	9	∑	∑	ADV
ejpam-1965	84	10	u∈d(p)j	u∈d(p)j	INTJ
ejpam-1965	84	11	βu	βu	PUNCT
ejpam-1965	85	1	=	=	SYM
ejpam-1965	85	2	sd(β	sd(β	X
ejpam-1965	85	3	g	g	PROPN
ejpam-1965	85	4	j	j	PROPN
ejpam-1965	85	5	)	)	PUNCT
ejpam-1965	85	6	,	,	PUNCT
ejpam-1965	85	7	∑	∑	PUNCT
ejpam-1965	85	8	v∈d(q)i	v∈d(q)i	VERB
ejpam-1965	85	9	γv	γv	NOUN
ejpam-1965	86	1	=	=	PUNCT
ejpam-1965	86	2	td(γ	td(γ	PUNCT
ejpam-1965	86	3	g	g	PROPN
ejpam-1965	86	4	i	i	PROPN
ejpam-1965	86	5	)	)	PUNCT
ejpam-1965	87	1	(	(	PUNCT
ejpam-1965	87	2	7	7	X
ejpam-1965	87	3	)	)	PUNCT
ejpam-1965	87	4	and	and	CCONJ
ejpam-1965	87	5	sd(β	sd(β	NOUN
ejpam-1965	87	6	)	)	PUNCT
ejpam-1965	88	1	+	+	CCONJ
ejpam-1965	88	2	sd(β	sd(β	X
ejpam-1965	88	3	g	g	NOUN
ejpam-1965	88	4	)	)	PUNCT
ejpam-1965	88	5	+	+	CCONJ
ejpam-1965	88	6	.	.	PUNCT
ejpam-1965	88	7	.	.	PUNCT
ejpam-1965	89	1	.+	.+	NOUN
ejpam-1965	89	2	sd(β	sd(β	VERB
ejpam-1965	89	3	gd−1	gd−1	PROPN
ejpam-1965	89	4	)	)	PUNCT
ejpam-1965	89	5	=	=	SYM
ejpam-1965	89	6	1	1	NUM
ejpam-1965	89	7	,	,	PUNCT
ejpam-1965	89	8	td(γ	td(γ	PUNCT
ejpam-1965	89	9	)	)	PUNCT
ejpam-1965	90	1	+	+	CCONJ
ejpam-1965	90	2	td(γ	td(γ	PUNCT
ejpam-1965	90	3	g	g	NOUN
ejpam-1965	90	4	)	)	PUNCT
ejpam-1965	91	1	+	+	CCONJ
ejpam-1965	91	2	.	.	PUNCT
ejpam-1965	91	3	.	.	PUNCT
ejpam-1965	92	1	.+	.+	NOUN
ejpam-1965	92	2	td(γ	td(γ	VERB
ejpam-1965	92	3	gd−1	gd−1	PROPN
ejpam-1965	92	4	)	)	PUNCT
ejpam-1965	92	5	=	=	SYM
ejpam-1965	93	1	1	1	X
ejpam-1965	93	2	.	.	PUNCT
ejpam-1965	93	3	(	(	PUNCT
ejpam-1965	93	4	8)	8)	NUM
ejpam-1965	93	5	the	the	DET
ejpam-1965	93	6	following	follow	VERB
ejpam-1965	93	7	lemmas	lemmas	PROPN
ejpam-1965	93	8	1	1	NUM
ejpam-1965	93	9	3	3	NUM
ejpam-1965	93	10	are	be	AUX
ejpam-1965	93	11	needed	need	VERB
ejpam-1965	93	12	to	to	PART
ejpam-1965	93	13	prove	prove	VERB
ejpam-1965	93	14	theorem	theorem	ADJ
ejpam-1965	93	15	1	1	NUM
ejpam-1965	93	16	.	.	PUNCT
ejpam-1965	93	17	by	by	ADP
ejpam-1965	93	18	definition	definition	NOUN
ejpam-1965	93	19	,	,	PUNCT
ejpam-1965	93	20	put	put	VERB
ejpam-1965	93	21	dj	dj	NOUN
ejpam-1965	93	22	,	,	PUNCT
ejpam-1965	93	23	i	i	PRON
ejpam-1965	93	24	=	=	PUNCT
ejpam-1965	93	25	{	{	PUNCT
ejpam-1965	93	26	g	g	PROPN
ejpam-1965	93	27	i+td	i+td	VERB
ejpam-1965	93	28	x	x	PROPN
ejpam-1965	93	29	j−i	j−i	PROPN
ejpam-1965	93	30	:	:	PUNCT
ejpam-1965	93	31	t	t	NOUN
ejpam-1965	93	32	=	=	SYM
ejpam-1965	93	33	0,1	0,1	NUM
ejpam-1965	93	34	,	,	PUNCT
ejpam-1965	93	35	.	.	PUNCT
ejpam-1965	93	36	.	.	PUNCT
ejpam-1965	93	37	.	.	PUNCT
ejpam-1965	94	1	e	e	X
ejpam-1965	94	2	/	/	SYM
ejpam-1965	94	3	d	d	NOUN
ejpam-1965	94	4	−	−	NOUN
ejpam-1965	94	5	1	1	NUM
ejpam-1965	94	6	}	}	PUNCT
ejpam-1965	94	7	,	,	PUNCT
ejpam-1965	94	8	where	where	SCONJ
ejpam-1965	94	9	j	j	PROPN
ejpam-1965	94	10	,	,	PUNCT
ejpam-1965	94	11	i	i	PROPN
ejpam-1965	94	12	=	=	NOUN
ejpam-1965	94	13	0	0	NUM
ejpam-1965	94	14	,	,	PUNCT
ejpam-1965	94	15	1	1	NUM
ejpam-1965	94	16	,	,	PUNCT
ejpam-1965	94	17	.	.	PUNCT
ejpam-1965	94	18	.	.	PUNCT
ejpam-1965	94	19	.	.	PUNCT
ejpam-1965	95	1	,	,	PUNCT
ejpam-1965	96	1	d	d	X
ejpam-1965	96	2	−	−	NOUN
ejpam-1965	97	1	1	1	X
ejpam-1965	97	2	.	.	PUNCT
ejpam-1965	97	3	lemma	lemma	PROPN
ejpam-1965	97	4	1	1	X
ejpam-1965	97	5	.	.	PUNCT
ejpam-1965	98	1	let	let	VERB
ejpam-1965	98	2	the	the	DET
ejpam-1965	98	3	symbols	symbol	NOUN
ejpam-1965	98	4	be	be	AUX
ejpam-1965	98	5	the	the	DET
ejpam-1965	98	6	same	same	ADJ
ejpam-1965	98	7	as	as	ADP
ejpam-1965	98	8	before	before	ADV
ejpam-1965	98	9	.	.	PUNCT
ejpam-1965	99	1	for	for	ADP
ejpam-1965	99	2	i	i	PROPN
ejpam-1965	99	3	,	,	PUNCT
ejpam-1965	99	4	j	j	PROPN
ejpam-1965	99	5	=	=	SYM
ejpam-1965	99	6	0,1	0,1	NUM
ejpam-1965	99	7	,	,	PUNCT
ejpam-1965	99	8	.	.	PUNCT
ejpam-1965	99	9	.	.	PUNCT
ejpam-1965	99	10	.	.	PUNCT
ejpam-1965	100	1	,	,	PUNCT
ejpam-1965	101	1	d	d	X
ejpam-1965	101	2	−	−	NOUN
ejpam-1965	101	3	1	1	NUM
ejpam-1965	101	4	and	and	CCONJ
ejpam-1965	101	5	k	k	NOUN
ejpam-1965	101	6	=	=	SYM
ejpam-1965	101	7	1	1	NUM
ejpam-1965	101	8	,	,	PUNCT
ejpam-1965	101	9	2	2	NUM
ejpam-1965	101	10	,	,	PUNCT
ejpam-1965	101	11	.	.	PUNCT
ejpam-1965	101	12	.	.	PUNCT
ejpam-1965	102	1	.	.	PUNCT
ejpam-1965	103	1	,	,	PUNCT
ejpam-1965	103	2	pq−	pq−	X
ejpam-1965	103	3	1	1	NUM
ejpam-1965	103	4	we	we	PRON
ejpam-1965	103	5	have	have	AUX
ejpam-1965	103	6	∑	∑	ADV
ejpam-1965	103	7	u∈dj	u∈dj	NOUN
ejpam-1965	103	8	,	,	PUNCT
ejpam-1965	103	9	i	i	PRON
ejpam-1965	103	10	αku	αku	VERB
ejpam-1965	103	11	=	=	X
ejpam-1965	103	12	sd(β	sd(β	X
ejpam-1965	103	13	akg	akg	PROPN
ejpam-1965	103	14	j	j	PROPN
ejpam-1965	103	15	)	)	PUNCT
ejpam-1965	103	16	td(γ	td(γ	PART
ejpam-1965	103	17	bkg	bkg	PROPN
ejpam-1965	103	18	i	i	PRON
ejpam-1965	103	19	)	)	PUNCT
ejpam-1965	103	20	.	.	PUNCT
ejpam-1965	104	1	proof	proof	NOUN
ejpam-1965	104	2	.	.	PUNCT
ejpam-1965	105	1	by	by	ADP
ejpam-1965	105	2	(	(	PUNCT
ejpam-1965	105	3	5	5	NUM
ejpam-1965	105	4	)	)	PUNCT
ejpam-1965	105	5	,	,	PUNCT
ejpam-1965	105	6	definitions	definition	NOUN
ejpam-1965	105	7	of	of	ADP
ejpam-1965	105	8	dj	dj	NOUN
ejpam-1965	105	9	,	,	PUNCT
ejpam-1965	105	10	i	i	PRON
ejpam-1965	105	11	and	and	CCONJ
ejpam-1965	105	12	x	x	X
ejpam-1965	105	13	we	we	PRON
ejpam-1965	105	14	have	have	VERB
ejpam-1965	105	15	∑	∑	ADV
ejpam-1965	105	16	u∈dj	u∈dj	NOUN
ejpam-1965	105	17	,	,	PUNCT
ejpam-1965	105	18	i	i	PRON
ejpam-1965	105	19	αku	αku	VERB
ejpam-1965	105	20	=	=	SYM
ejpam-1965	105	21	e	e	X
ejpam-1965	105	22	/	/	SYM
ejpam-1965	105	23	d−1	d−1	PROPN
ejpam-1965	105	24	∑	∑	PROPN
ejpam-1965	105	25	t=0	t=0	PUNCT
ejpam-1965	105	26	βakg	βakg	NOUN
ejpam-1965	105	27	j+d	j+d	PROPN
ejpam-1965	105	28	t	t	PROPN
ejpam-1965	105	29	γbkg	γbkg	NOUN
ejpam-1965	105	30	i+d	i+d	NUM
ejpam-1965	105	31	t	t	NOUN
ejpam-1965	105	32	.	.	PUNCT
ejpam-1965	106	1	by	by	ADP
ejpam-1965	106	2	definition	definition	NOUN
ejpam-1965	106	3	gcd(p	gcd(p	PROPN
ejpam-1965	106	4	−	−	PROPN
ejpam-1965	106	5	1	1	NUM
ejpam-1965	106	6	,	,	PUNCT
ejpam-1965	106	7	q	q	NOUN
ejpam-1965	106	8	−	−	PROPN
ejpam-1965	106	9	1	1	NUM
ejpam-1965	106	10	)	)	PUNCT
ejpam-1965	106	11	=	=	SYM
ejpam-1965	107	1	d	d	PROPN
ejpam-1965	107	2	,	,	PUNCT
ejpam-1965	107	3	then	then	ADV
ejpam-1965	107	4	ze	ze	PROPN
ejpam-1965	107	5	/	/	SYM
ejpam-1965	107	6	d	d	PROPN
ejpam-1965	107	7	∼=	∼=	PROPN
ejpam-1965	107	8	z(p−1)/d	z(p−1)/d	NOUN
ejpam-1965	107	9	×	×	NOUN
ejpam-1965	107	10	z(q−1)/d	z(q−1)/d	NOUN
ejpam-1965	107	11	relatively	relatively	ADV
ejpam-1965	107	12	to	to	PART
ejpam-1965	107	13	isomorphism	isomorphism	VERB
ejpam-1965	107	14	ϕ(a	ϕ(a	NOUN
ejpam-1965	107	15	)	)	PUNCT
ejpam-1965	107	16	=	=	SYM
ejpam-1965	107	17	(	(	PUNCT
ejpam-1965	107	18	a	a	DET
ejpam-1965	107	19	mod	mod	NOUN
ejpam-1965	107	20	(	(	PUNCT
ejpam-1965	107	21	p	p	NOUN
ejpam-1965	107	22	−	−	PROPN
ejpam-1965	107	23	1)/d	1)/d	NUM
ejpam-1965	107	24	)	)	PUNCT
ejpam-1965	107	25	,	,	PUNCT
ejpam-1965	107	26	a	a	DET
ejpam-1965	107	27	mod	mod	NOUN
ejpam-1965	107	28	(	(	PUNCT
ejpam-1965	107	29	q	q	NOUN
ejpam-1965	107	30	−	−	NOUN
ejpam-1965	107	31	1)/d	1)/d	NUM
ejpam-1965	107	32	)	)	PUNCT
ejpam-1965	108	1	[	[	X
ejpam-1965	108	2	12	12	NUM
ejpam-1965	108	3	]	]	PUNCT
ejpam-1965	108	4	.	.	PUNCT
ejpam-1965	109	1	hence	hence	ADV
ejpam-1965	109	2	∑	∑	ADV
ejpam-1965	109	3	u∈dj	u∈dj	NOUN
ejpam-1965	109	4	,	,	PUNCT
ejpam-1965	109	5	i	i	PRON
ejpam-1965	109	6	αku	αku	VERB
ejpam-1965	109	7	=	=	SYM
ejpam-1965	109	8	∑	∑	PUNCT
ejpam-1965	109	9	v∈d(p)j	v∈d(p)j	PROPN
ejpam-1965	109	10	βakv	βakv	ADJ
ejpam-1965	109	11	∑	∑	PROPN
ejpam-1965	109	12	w∈d(q)i	w∈d(q)i	PROPN
ejpam-1965	109	13	γbkw	γbkw	PROPN
ejpam-1965	109	14	.	.	PUNCT
ejpam-1965	110	1	application	application	NOUN
ejpam-1965	110	2	of	of	ADP
ejpam-1965	110	3	(	(	PUNCT
ejpam-1965	110	4	7	7	NUM
ejpam-1965	110	5	)	)	PUNCT
ejpam-1965	110	6	concludes	conclude	VERB
ejpam-1965	110	7	the	the	DET
ejpam-1965	110	8	proof	proof	NOUN
ejpam-1965	110	9	of	of	ADP
ejpam-1965	110	10	lemma	lemma	PROPN
ejpam-1965	110	11	1	1	NUM
ejpam-1965	110	12	.	.	PUNCT
ejpam-1965	111	1	v.	v.	ADP
ejpam-1965	111	2	edemskiy	edemskiy	NOUN
ejpam-1965	112	1	and	and	CCONJ
ejpam-1965	112	2	o.	o.	INTJ
ejpam-1965	112	3	antonova	antonova	PROPN
ejpam-1965	112	4	/	/	SYM
ejpam-1965	112	5	eur	eur	PROPN
ejpam-1965	112	6	.	.	PUNCT
ejpam-1965	113	1	j.	j.	PROPN
ejpam-1965	113	2	pure	pure	PROPN
ejpam-1965	113	3	appl	appl	PROPN
ejpam-1965	113	4	.	.	PROPN
ejpam-1965	113	5	math	math	PROPN
ejpam-1965	113	6	,	,	PUNCT
ejpam-1965	113	7	7	7	NUM
ejpam-1965	113	8	(	(	PUNCT
ejpam-1965	113	9	2014	2014	NUM
ejpam-1965	113	10	)	)	PUNCT
ejpam-1965	113	11	,	,	PUNCT
ejpam-1965	113	12	256	256	NUM
ejpam-1965	113	13	-	-	SYM
ejpam-1965	113	14	266	266	NUM
ejpam-1965	113	15	259	259	NUM
ejpam-1965	113	16	lemma	lemma	PROPN
ejpam-1965	113	17	2	2	NUM
ejpam-1965	113	18	.	.	PUNCT
ejpam-1965	114	1	let	let	VERB
ejpam-1965	114	2	the	the	DET
ejpam-1965	114	3	symbols	symbol	NOUN
ejpam-1965	114	4	be	be	AUX
ejpam-1965	114	5	the	the	DET
ejpam-1965	114	6	same	same	ADJ
ejpam-1965	114	7	as	as	ADP
ejpam-1965	114	8	before	before	ADV
ejpam-1965	114	9	.	.	PUNCT
ejpam-1965	115	1	for	for	ADP
ejpam-1965	115	2	i	i	PROPN
ejpam-1965	115	3	=	=	NOUN
ejpam-1965	115	4	0,1	0,1	NUM
ejpam-1965	115	5	,	,	PUNCT
ejpam-1965	115	6	.	.	PUNCT
ejpam-1965	115	7	.	.	PUNCT
ejpam-1965	115	8	.	.	PUNCT
ejpam-1965	116	1	,	,	PUNCT
ejpam-1965	117	1	d	d	X
ejpam-1965	117	2	−	−	NOUN
ejpam-1965	117	3	1	1	NUM
ejpam-1965	117	4	and	and	CCONJ
ejpam-1965	117	5	k	k	NOUN
ejpam-1965	117	6	=	=	SYM
ejpam-1965	117	7	1,2	1,2	NUM
ejpam-1965	117	8	,	,	PUNCT
ejpam-1965	117	9	.	.	PUNCT
ejpam-1965	117	10	.	.	PUNCT
ejpam-1965	117	11	.	.	PUNCT
ejpam-1965	118	1	,	,	PUNCT
ejpam-1965	118	2	pq−	pq−	X
ejpam-1965	118	3	1	1	NUM
ejpam-1965	118	4	we	we	PRON
ejpam-1965	118	5	have	have	VERB
ejpam-1965	118	6	∑	∑	ADV
ejpam-1965	118	7	u∈pi	u∈pi	ADJ
ejpam-1965	118	8	αku	αku	NOUN
ejpam-1965	118	9	=	=	PUNCT
ejpam-1965	118	10	td(γ	td(γ	PUNCT
ejpam-1965	118	11	kg	kg	INTJ
ejpam-1965	118	12	i	i	INTJ
ejpam-1965	118	13	)	)	PUNCT
ejpam-1965	118	14	.	.	PUNCT
ejpam-1965	119	1	proof	proof	NOUN
ejpam-1965	119	2	.	.	PUNCT
ejpam-1965	120	1	by	by	ADP
ejpam-1965	120	2	definition	definition	NOUN
ejpam-1965	120	3	of	of	ADP
ejpam-1965	120	4	pi	pi	NOUN
ejpam-1965	120	5	we	we	PRON
ejpam-1965	120	6	have	have	VERB
ejpam-1965	120	7	∑	∑	ADV
ejpam-1965	120	8	u∈pi	u∈pi	ADJ
ejpam-1965	120	9	αku	αku	NOUN
ejpam-1965	120	10	=	=	PUNCT
ejpam-1965	120	11	∑	∑	PUNCT
ejpam-1965	120	12	v∈d(q)i	v∈d(q)i	VERB
ejpam-1965	120	13	αkpv	αkpv	ADJ
ejpam-1965	120	14	.	.	PUNCT
ejpam-1965	121	1	using	use	VERB
ejpam-1965	121	2	(	(	PUNCT
ejpam-1965	121	3	7	7	NUM
ejpam-1965	121	4	)	)	PUNCT
ejpam-1965	121	5	and	and	CCONJ
ejpam-1965	121	6	definition	definition	NOUN
ejpam-1965	121	7	γ	γ	X
ejpam-1965	121	8	=	=	SYM
ejpam-1965	121	9	αp	αp	NOUN
ejpam-1965	121	10	,	,	PUNCT
ejpam-1965	121	11	we	we	PRON
ejpam-1965	121	12	obtain	obtain	VERB
ejpam-1965	121	13	∑	∑	PUNCT
ejpam-1965	121	14	v∈d(q)i	v∈d(q)i	VERB
ejpam-1965	121	15	αkpv	αkpv	ADJ
ejpam-1965	121	16	=	=	PUNCT
ejpam-1965	122	1	td(γkg	td(γkg	NOUN
ejpam-1965	122	2	i	i	NOUN
ejpam-1965	122	3	)	)	PUNCT
ejpam-1965	122	4	.	.	PUNCT
ejpam-1965	123	1	lemma	lemma	PROPN
ejpam-1965	123	2	2	2	NUM
ejpam-1965	123	3	is	be	AUX
ejpam-1965	123	4	proved	prove	VERB
ejpam-1965	123	5	.	.	PUNCT
ejpam-1965	124	1	lemma	lemma	PROPN
ejpam-1965	124	2	3	3	NUM
ejpam-1965	124	3	can	can	AUX
ejpam-1965	124	4	be	be	AUX
ejpam-1965	124	5	shown	show	VERB
ejpam-1965	124	6	in	in	ADP
ejpam-1965	124	7	a	a	DET
ejpam-1965	124	8	similar	similar	ADJ
ejpam-1965	124	9	way	way	NOUN
ejpam-1965	124	10	.	.	PUNCT
ejpam-1965	125	1	lemma	lemma	PROPN
ejpam-1965	125	2	3	3	X
ejpam-1965	125	3	.	.	PUNCT
ejpam-1965	126	1	let	let	VERB
ejpam-1965	126	2	the	the	DET
ejpam-1965	126	3	symbols	symbol	NOUN
ejpam-1965	126	4	be	be	AUX
ejpam-1965	126	5	the	the	DET
ejpam-1965	126	6	same	same	ADJ
ejpam-1965	126	7	as	as	ADP
ejpam-1965	126	8	before	before	ADV
ejpam-1965	126	9	.	.	PUNCT
ejpam-1965	127	1	for	for	ADP
ejpam-1965	127	2	j	j	PROPN
ejpam-1965	127	3	=	=	SYM
ejpam-1965	127	4	0,1	0,1	NUM
ejpam-1965	127	5	,	,	PUNCT
ejpam-1965	127	6	.	.	PUNCT
ejpam-1965	127	7	.	.	PUNCT
ejpam-1965	127	8	.	.	PUNCT
ejpam-1965	128	1	,	,	PUNCT
ejpam-1965	129	1	d	d	X
ejpam-1965	129	2	−	−	NOUN
ejpam-1965	129	3	1	1	NUM
ejpam-1965	129	4	and	and	CCONJ
ejpam-1965	129	5	k	k	NOUN
ejpam-1965	129	6	=	=	SYM
ejpam-1965	129	7	1,2	1,2	NUM
ejpam-1965	129	8	,	,	PUNCT
ejpam-1965	129	9	.	.	PUNCT
ejpam-1965	129	10	.	.	PUNCT
ejpam-1965	129	11	.	.	PUNCT
ejpam-1965	130	1	,	,	PUNCT
ejpam-1965	130	2	pq−	pq−	X
ejpam-1965	130	3	1	1	NUM
ejpam-1965	130	4	we	we	PRON
ejpam-1965	130	5	have	have	VERB
ejpam-1965	130	6	∑	∑	PROPN
ejpam-1965	130	7	u∈q	u∈q	ADJ
ejpam-1965	130	8	j	j	PROPN
ejpam-1965	130	9	αku	αku	PROPN
ejpam-1965	130	10	=	=	SYM
ejpam-1965	130	11	sd(β	sd(β	X
ejpam-1965	130	12	kg	kg	X
ejpam-1965	130	13	j	j	PROPN
ejpam-1965	130	14	)	)	PUNCT
ejpam-1965	130	15	.	.	PUNCT
ejpam-1965	131	1	now	now	ADV
ejpam-1965	131	2	we	we	PRON
ejpam-1965	131	3	can	can	AUX
ejpam-1965	131	4	prove	prove	VERB
ejpam-1965	131	5	the	the	DET
ejpam-1965	131	6	basic	basic	ADJ
ejpam-1965	131	7	theorem	theorem	NOUN
ejpam-1965	131	8	about	about	ADP
ejpam-1965	131	9	the	the	DET
ejpam-1965	131	10	linkage	linkage	NOUN
ejpam-1965	131	11	of	of	ADP
ejpam-1965	131	12	the	the	DET
ejpam-1965	131	13	linear	linear	ADJ
ejpam-1965	131	14	complexity	complexity	NOUN
ejpam-1965	131	15	of	of	ADP
ejpam-1965	131	16	dinghelleseth	dinghelleseth	NOUN
ejpam-1965	131	17	-	-	PUNCT
ejpam-1965	131	18	generalized	generalize	VERB
ejpam-1965	131	19	cyclotomic	cyclotomic	ADJ
ejpam-1965	131	20	sequences	sequence	NOUN
ejpam-1965	131	21	with	with	ADP
ejpam-1965	131	22	the	the	DET
ejpam-1965	131	23	values	value	NOUN
ejpam-1965	131	24	of	of	ADP
ejpam-1965	131	25	the	the	DET
ejpam-1965	131	26	polynomials	polynomial	NOUN
ejpam-1965	131	27	of	of	ADP
ejpam-1965	131	28	the	the	DET
ejpam-1965	131	29	classical	classical	ADJ
ejpam-1965	131	30	sequences	sequence	NOUN
ejpam-1965	131	31	.	.	PUNCT
ejpam-1965	132	1	theorem	theorem	NOUN
ejpam-1965	132	2	1	1	NUM
ejpam-1965	132	3	.	.	PUNCT
ejpam-1965	133	1	let	let	VERB
ejpam-1965	133	2	the	the	DET
ejpam-1965	133	3	symbols	symbol	NOUN
ejpam-1965	133	4	be	be	AUX
ejpam-1965	133	5	the	the	DET
ejpam-1965	133	6	same	same	ADJ
ejpam-1965	133	7	as	as	ADP
ejpam-1965	133	8	before	before	ADV
ejpam-1965	133	9	.	.	PUNCT
ejpam-1965	134	1	if	if	SCONJ
ejpam-1965	134	2	k	k	PROPN
ejpam-1965	134	3	=	=	SYM
ejpam-1965	134	4	1	1	NUM
ejpam-1965	134	5	,	,	PUNCT
ejpam-1965	134	6	2	2	NUM
ejpam-1965	134	7	,	,	PUNCT
ejpam-1965	134	8	.	.	PUNCT
ejpam-1965	134	9	.	.	PUNCT
ejpam-1965	135	1	.	.	PUNCT
ejpam-1965	136	1	,	,	PUNCT
ejpam-1965	136	2	pq−	pq−	X
ejpam-1965	136	3	1	1	NUM
ejpam-1965	136	4	,	,	PUNCT
ejpam-1965	136	5	then	then	ADV
ejpam-1965	136	6	s(αk	s(αk	PROPN
ejpam-1965	136	7	)	)	PUNCT
ejpam-1965	136	8	=	=	PUNCT
ejpam-1965	137	1	d−1	d−1	PROPN
ejpam-1965	137	2	∑	∑	PROPN
ejpam-1965	137	3	i	i	PROPN
ejpam-1965	137	4	=	=	PROPN
ejpam-1965	137	5	d/2	d/2	PROPN
ejpam-1965	137	6	�	�	PROPN
ejpam-1965	137	7	td	td	PROPN
ejpam-1965	137	8	�	�	PROPN
ejpam-1965	137	9	γkg	γkg	PROPN
ejpam-1965	137	10	i−ind(q)g	i−ind(q)g	PROPN
ejpam-1965	137	11	p	p	PROPN
ejpam-1965	137	12	�	�	PROPN
ejpam-1965	137	13	δ+	δ+	PUNCT
ejpam-1965	137	14	td(γ	td(γ	X
ejpam-1965	137	15	kg	kg	INTJ
ejpam-1965	137	16	i	i	NOUN
ejpam-1965	137	17	)	)	PUNCT
ejpam-1965	138	1	+	+	CCONJ
ejpam-1965	138	2	sd(β	sd(β	VERB
ejpam-1965	138	3	kg	kg	INTJ
ejpam-1965	138	4	i	i	NOUN
ejpam-1965	138	5	)	)	PUNCT
ejpam-1965	138	6	�	�	PROPN
ejpam-1965	138	7	,	,	PUNCT
ejpam-1965	138	8	where	where	SCONJ
ejpam-1965	138	9	δ	δ	PROPN
ejpam-1965	138	10	=	=	PUNCT
ejpam-1965	138	11	¨	¨	NOUN
ejpam-1965	138	12	1	1	NUM
ejpam-1965	138	13	,	,	PUNCT
ejpam-1965	138	14	if	if	SCONJ
ejpam-1965	138	15	k	k	PROPN
ejpam-1965	138	16	6≡	6≡	NUM
ejpam-1965	138	17	0(modp	0(modp	NOUN
ejpam-1965	138	18	)	)	PUNCT
ejpam-1965	138	19	,	,	PUNCT
ejpam-1965	138	20	0	0	NUM
ejpam-1965	138	21	,	,	PUNCT
ejpam-1965	138	22	if	if	SCONJ
ejpam-1965	138	23	k	k	PROPN
ejpam-1965	138	24	≡	≡	PROPN
ejpam-1965	138	25	0(modp	0(modp	PROPN
ejpam-1965	138	26	)	)	PUNCT
ejpam-1965	138	27	.	.	PUNCT
ejpam-1965	138	28	.	.	PUNCT
ejpam-1965	139	1	proof	proof	NOUN
ejpam-1965	139	2	.	.	PUNCT
ejpam-1965	140	1	by	by	ADP
ejpam-1965	140	2	definition	definition	NOUN
ejpam-1965	140	3	of	of	ADP
ejpam-1965	140	4	the	the	DET
ejpam-1965	140	5	sequence	sequence	NOUN
ejpam-1965	140	6	s∞	s∞	NOUN
ejpam-1965	140	7	we	we	PRON
ejpam-1965	140	8	have	have	VERB
ejpam-1965	140	9	s(αk	s(αk	PROPN
ejpam-1965	140	10	)	)	PUNCT
ejpam-1965	140	11	=	=	PUNCT
ejpam-1965	141	1	d−1	d−1	PROPN
ejpam-1965	141	2	∑	∑	PROPN
ejpam-1965	141	3	i	i	PROPN
ejpam-1965	141	4	=	=	PROPN
ejpam-1965	141	5	d/2	d/2	PROPN
ejpam-1965	141	6	∑	∑	ADV
ejpam-1965	141	7	u∈di	u∈di	ADJ
ejpam-1965	141	8	αku	αku	NOUN
ejpam-1965	141	9	+	+	CCONJ
ejpam-1965	141	10	∑	∑	ADV
ejpam-1965	141	11	u∈pi	u∈pi	ADJ
ejpam-1965	141	12	αku	αku	NOUN
ejpam-1965	141	13	+	+	CCONJ
ejpam-1965	141	14	∑	∑	PROPN
ejpam-1965	141	15	u∈q	u∈q	ADJ
ejpam-1965	141	16	i	i	PRON
ejpam-1965	141	17	αku	αku	VERB
ejpam-1965	141	18	!	!	PUNCT
ejpam-1965	141	19	.	.	PUNCT
ejpam-1965	142	1	(	(	PUNCT
ejpam-1965	142	2	9	9	X
ejpam-1965	142	3	)	)	PUNCT
ejpam-1965	142	4	we	we	PRON
ejpam-1965	142	5	consider	consider	VERB
ejpam-1965	142	6	the	the	DET
ejpam-1965	142	7	first	first	ADJ
ejpam-1965	142	8	item	item	NOUN
ejpam-1965	142	9	of	of	ADP
ejpam-1965	142	10	this	this	DET
ejpam-1965	142	11	sum	sum	NOUN
ejpam-1965	142	12	.	.	PUNCT
ejpam-1965	143	1	by	by	ADP
ejpam-1965	143	2	definition	definition	NOUN
ejpam-1965	143	3	di	di	NOUN
ejpam-1965	143	4	=	=	PROPN
ejpam-1965	143	5	⋃d−1	⋃d−1	X
ejpam-1965	143	6	j=0	j=0	PROPN
ejpam-1965	143	7	dj	dj	PROPN
ejpam-1965	143	8	,	,	PUNCT
ejpam-1965	143	9	i	i	PRON
ejpam-1965	143	10	,	,	PUNCT
ejpam-1965	143	11	hence	hence	ADV
ejpam-1965	143	12	∑	∑	PUNCT
ejpam-1965	143	13	u∈di	u∈di	ADJ
ejpam-1965	143	14	αku	αku	NOUN
ejpam-1965	143	15	=	=	SYM
ejpam-1965	143	16	d−1	d−1	PROPN
ejpam-1965	143	17	∑	∑	ADV
ejpam-1965	143	18	j=0	j=0	PROPN
ejpam-1965	143	19	∑	∑	PROPN
ejpam-1965	143	20	t∈dj	t∈dj	PROPN
ejpam-1965	143	21	,	,	PUNCT
ejpam-1965	143	22	i	i	PRON
ejpam-1965	143	23	αkt	αkt	VERB
ejpam-1965	143	24	!	!	PUNCT
ejpam-1965	144	1	,	,	PUNCT
ejpam-1965	144	2	then	then	ADV
ejpam-1965	144	3	by	by	ADP
ejpam-1965	144	4	lemma	lemma	PROPN
ejpam-1965	144	5	1	1	NUM
ejpam-1965	144	6	we	we	PRON
ejpam-1965	144	7	have	have	AUX
ejpam-1965	144	8	∑	∑	ADV
ejpam-1965	144	9	u∈di	u∈di	ADJ
ejpam-1965	144	10	αku	αku	NOUN
ejpam-1965	144	11	=	=	SYM
ejpam-1965	144	12	d−1	d−1	PROPN
ejpam-1965	144	13	∑	∑	PUNCT
ejpam-1965	144	14	j=0	j=0	PROPN
ejpam-1965	144	15	sd(β	sd(β	VERB
ejpam-1965	144	16	kag	kag	PROPN
ejpam-1965	144	17	j	j	PROPN
ejpam-1965	144	18	)	)	PUNCT
ejpam-1965	145	1	td(γkbg	td(γkbg	PROPN
ejpam-1965	145	2	i	i	PROPN
ejpam-1965	145	3	)	)	PUNCT
ejpam-1965	145	4	.	.	PUNCT
ejpam-1965	146	1	v.	v.	ADP
ejpam-1965	146	2	edemskiy	edemskiy	NOUN
ejpam-1965	146	3	and	and	CCONJ
ejpam-1965	146	4	o.	o.	INTJ
ejpam-1965	146	5	antonova	antonova	PROPN
ejpam-1965	146	6	/	/	SYM
ejpam-1965	146	7	eur	eur	PROPN
ejpam-1965	146	8	.	.	PUNCT
ejpam-1965	147	1	j.	j.	PROPN
ejpam-1965	147	2	pure	pure	PROPN
ejpam-1965	147	3	appl	appl	PROPN
ejpam-1965	147	4	.	.	PROPN
ejpam-1965	147	5	math	math	PROPN
ejpam-1965	147	6	,	,	PUNCT
ejpam-1965	147	7	7	7	NUM
ejpam-1965	147	8	(	(	PUNCT
ejpam-1965	147	9	2014	2014	NUM
ejpam-1965	147	10	)	)	PUNCT
ejpam-1965	147	11	,	,	PUNCT
ejpam-1965	147	12	256	256	NUM
ejpam-1965	147	13	-	-	SYM
ejpam-1965	147	14	266	266	NUM
ejpam-1965	147	15	260	260	NUM
ejpam-1965	147	16	if	if	SCONJ
ejpam-1965	147	17	k	k	PROPN
ejpam-1965	147	18	6≡	6≡	NUM
ejpam-1965	147	19	0(modp	0(modp	NOUN
ejpam-1965	147	20	)	)	PUNCT
ejpam-1965	147	21	,	,	PUNCT
ejpam-1965	147	22	then	then	ADV
ejpam-1965	147	23	from	from	ADP
ejpam-1965	147	24	(	(	PUNCT
ejpam-1965	147	25	8)	8)	NUM
ejpam-1965	147	26	we	we	PRON
ejpam-1965	147	27	obtain	obtain	VERB
ejpam-1965	147	28	∑d−1	∑d−1	X
ejpam-1965	147	29	f=0	f=0	X
ejpam-1965	147	30	sd(β	sd(β	X
ejpam-1965	147	31	kag	kag	PROPN
ejpam-1965	147	32	f	f	PROPN
ejpam-1965	147	33	)	)	PUNCT
ejpam-1965	148	1	=	=	PUNCT
ejpam-1965	148	2	1	1	X
ejpam-1965	148	3	.	.	PUNCT
ejpam-1965	149	1	yet	yet	ADV
ejpam-1965	149	2	,	,	PUNCT
ejpam-1965	149	3	if	if	SCONJ
ejpam-1965	149	4	k	k	PROPN
ejpam-1965	149	5	≡	≡	PROPN
ejpam-1965	149	6	0(modp	0(modp	PROPN
ejpam-1965	149	7	)	)	PUNCT
ejpam-1965	149	8	,	,	PUNCT
ejpam-1965	149	9	then	then	ADV
ejpam-1965	149	10	d−1	d−1	PROPN
ejpam-1965	149	11	∑	∑	PROPN
ejpam-1965	149	12	f=0	f=0	PROPN
ejpam-1965	149	13	sd(β	sd(β	NOUN
ejpam-1965	149	14	kag	kag	PROPN
ejpam-1965	149	15	f	f	PROPN
ejpam-1965	149	16	)	)	PUNCT
ejpam-1965	150	1	=	=	PUNCT
ejpam-1965	151	1	p	p	NOUN
ejpam-1965	151	2	−	−	PROPN
ejpam-1965	151	3	1	1	NUM
ejpam-1965	152	1	and	and	CCONJ
ejpam-1965	152	2	p	p	NOUN
ejpam-1965	152	3	−	−	PROPN
ejpam-1965	152	4	1	1	NUM
ejpam-1965	152	5	≡	≡	PROPN
ejpam-1965	152	6	0(mod2	0(mod2	NUM
ejpam-1965	152	7	)	)	PUNCT
ejpam-1965	152	8	.	.	PUNCT
ejpam-1965	153	1	thus	thus	ADV
ejpam-1965	153	2	,	,	PUNCT
ejpam-1965	153	3	the	the	DET
ejpam-1965	153	4	first	first	ADJ
ejpam-1965	153	5	item	item	NOUN
ejpam-1965	153	6	of	of	ADP
ejpam-1965	153	7	(	(	PUNCT
ejpam-1965	153	8	9	9	NUM
ejpam-1965	153	9	)	)	PUNCT
ejpam-1965	153	10	is	be	AUX
ejpam-1965	153	11	equal	equal	ADJ
ejpam-1965	153	12	to	to	ADP
ejpam-1965	153	13	δ	δ	PROPN
ejpam-1965	153	14	d−1	d−1	PROPN
ejpam-1965	153	15	∑	∑	PROPN
ejpam-1965	153	16	i	i	PROPN
ejpam-1965	153	17	=	=	PROPN
ejpam-1965	153	18	d/2	d/2	PROPN
ejpam-1965	153	19	td(γkbg	td(γkbg	PROPN
ejpam-1965	153	20	i	i	PROPN
ejpam-1965	153	21	)	)	PUNCT
ejpam-1965	153	22	.	.	PUNCT
ejpam-1965	154	1	the	the	DET
ejpam-1965	154	2	sum	sum	NOUN
ejpam-1965	154	3	of	of	ADP
ejpam-1965	154	4	the	the	DET
ejpam-1965	154	5	second	second	ADJ
ejpam-1965	154	6	and	and	CCONJ
ejpam-1965	154	7	the	the	DET
ejpam-1965	154	8	third	third	ADJ
ejpam-1965	154	9	items	item	NOUN
ejpam-1965	154	10	is	be	AUX
ejpam-1965	154	11	d−1	d−1	PROPN
ejpam-1965	154	12	∑	∑	PROPN
ejpam-1965	154	13	i	i	PROPN
ejpam-1965	154	14	=	=	PROPN
ejpam-1965	154	15	d/2	d/2	PROPN
ejpam-1965	154	16	�	�	PROPN
ejpam-1965	154	17	td(γkg	td(γkg	NOUN
ejpam-1965	154	18	i	i	NOUN
ejpam-1965	154	19	)	)	PUNCT
ejpam-1965	155	1	+	+	CCONJ
ejpam-1965	155	2	sd(β	sd(β	VERB
ejpam-1965	155	3	kg	kg	INTJ
ejpam-1965	156	1	i	i	PRON
ejpam-1965	156	2	�	�	PROPN
ejpam-1965	156	3	by	by	ADP
ejpam-1965	156	4	lemmas	lemmas	PROPN
ejpam-1965	156	5	2	2	NUM
ejpam-1965	156	6	and	and	CCONJ
ejpam-1965	156	7	3	3	NUM
ejpam-1965	156	8	.	.	X
ejpam-1965	156	9	application	application	NOUN
ejpam-1965	156	10	of	of	ADP
ejpam-1965	156	11	(	(	PUNCT
ejpam-1965	156	12	6	6	NUM
ejpam-1965	156	13	)	)	PUNCT
ejpam-1965	156	14	concludes	conclude	VERB
ejpam-1965	156	15	the	the	DET
ejpam-1965	156	16	proof	proof	NOUN
ejpam-1965	156	17	of	of	ADP
ejpam-1965	156	18	theorem	theorem	NOUN
ejpam-1965	156	19	1	1	NUM
ejpam-1965	156	20	.	.	PUNCT
ejpam-1965	157	1	to	to	PART
ejpam-1965	157	2	sum	sum	VERB
ejpam-1965	157	3	up	up	ADP
ejpam-1965	157	4	,	,	PUNCT
ejpam-1965	157	5	we	we	PRON
ejpam-1965	157	6	can	can	AUX
ejpam-1965	157	7	note	note	VERB
ejpam-1965	157	8	,	,	PUNCT
ejpam-1965	157	9	that	that	SCONJ
ejpam-1965	157	10	by	by	ADP
ejpam-1965	157	11	theorem	theorem	NOUN
ejpam-1965	157	12	1	1	NUM
ejpam-1965	157	13	,	,	PUNCT
ejpam-1965	157	14	the	the	DET
ejpam-1965	157	15	computation	computation	NOUN
ejpam-1965	157	16	of	of	ADP
ejpam-1965	157	17	the	the	DET
ejpam-1965	157	18	values	value	NOUN
ejpam-1965	157	19	of	of	ADP
ejpam-1965	157	20	the	the	DET
ejpam-1965	157	21	sequence	sequence	NOUN
ejpam-1965	157	22	polynomial	polynomial	ADJ
ejpam-1965	157	23	s(x	s(x	PROPN
ejpam-1965	157	24	)	)	PUNCT
ejpam-1965	157	25	and	and	CCONJ
ejpam-1965	157	26	,	,	PUNCT
ejpam-1965	157	27	therefore	therefore	ADV
ejpam-1965	157	28	,	,	PUNCT
ejpam-1965	157	29	the	the	DET
ejpam-1965	157	30	computation	computation	NOUN
ejpam-1965	157	31	of	of	ADP
ejpam-1965	157	32	the	the	DET
ejpam-1965	157	33	linear	linear	ADJ
ejpam-1965	157	34	complexity	complexity	NOUN
ejpam-1965	157	35	of	of	ADP
ejpam-1965	157	36	the	the	DET
ejpam-1965	157	37	sequence	sequence	NOUN
ejpam-1965	157	38	s∞	s∞	NOUN
ejpam-1965	157	39	turns	turn	VERB
ejpam-1965	157	40	into	into	ADP
ejpam-1965	157	41	the	the	DET
ejpam-1965	157	42	computation	computation	NOUN
ejpam-1965	157	43	of	of	ADP
ejpam-1965	157	44	the	the	DET
ejpam-1965	157	45	values	value	NOUN
ejpam-1965	157	46	sd(x	sd(x	PUNCT
ejpam-1965	157	47	)	)	PUNCT
ejpam-1965	157	48	and	and	CCONJ
ejpam-1965	157	49	td(x	td(x	NUM
ejpam-1965	157	50	)	)	PUNCT
ejpam-1965	157	51	for	for	ADP
ejpam-1965	157	52	cyclotomic	cyclotomic	ADJ
ejpam-1965	157	53	classes	class	NOUN
ejpam-1965	157	54	members	member	NOUN
ejpam-1965	157	55	.	.	PUNCT
ejpam-1965	158	1	by	by	ADP
ejpam-1965	158	2	theorem	theorem	NOUN
ejpam-1965	158	3	1	1	NUM
ejpam-1965	158	4	,	,	PUNCT
ejpam-1965	158	5	for	for	ADP
ejpam-1965	158	6	fixed	fixed	ADJ
ejpam-1965	158	7	j	j	PROPN
ejpam-1965	158	8	and	and	CCONJ
ejpam-1965	158	9	i	i	PROPN
ejpam-1965	158	10	,	,	PUNCT
ejpam-1965	158	11	the	the	DET
ejpam-1965	158	12	values	value	NOUN
ejpam-1965	158	13	of	of	ADP
ejpam-1965	158	14	s(αk	s(αk	PROPN
ejpam-1965	158	15	)	)	PUNCT
ejpam-1965	158	16	are	be	AUX
ejpam-1965	158	17	the	the	DET
ejpam-1965	158	18	same	same	ADJ
ejpam-1965	158	19	for	for	ADP
ejpam-1965	158	20	all	all	DET
ejpam-1965	158	21	k	k	PROPN
ejpam-1965	158	22	∈	∈	PROPN
ejpam-1965	158	23	dj	dj	NOUN
ejpam-1965	158	24	,	,	PUNCT
ejpam-1965	158	25	i	i	PRON
ejpam-1965	158	26	;	;	PUNCT
ejpam-1965	158	27	for	for	SCONJ
ejpam-1965	158	28	fixed	fixed	ADJ
ejpam-1965	158	29	i	i	PROPN
ejpam-1965	158	30	,	,	PUNCT
ejpam-1965	158	31	the	the	DET
ejpam-1965	158	32	values	value	NOUN
ejpam-1965	158	33	of	of	ADP
ejpam-1965	158	34	s(αk	s(αk	PROPN
ejpam-1965	158	35	)	)	PUNCT
ejpam-1965	158	36	are	be	AUX
ejpam-1965	158	37	same	same	ADJ
ejpam-1965	158	38	for	for	ADP
ejpam-1965	158	39	all	all	DET
ejpam-1965	158	40	k	k	PROPN
ejpam-1965	158	41	∈	∈	PROPN
ejpam-1965	158	42	pi	pi	NOUN
ejpam-1965	158	43	;	;	PUNCT
ejpam-1965	158	44	for	for	SCONJ
ejpam-1965	158	45	fixed	fixed	ADJ
ejpam-1965	158	46	i	i	PROPN
ejpam-1965	158	47	,	,	PUNCT
ejpam-1965	158	48	the	the	DET
ejpam-1965	158	49	values	value	NOUN
ejpam-1965	158	50	of	of	ADP
ejpam-1965	158	51	s(αk	s(αk	PROPN
ejpam-1965	158	52	)	)	PUNCT
ejpam-1965	158	53	are	be	AUX
ejpam-1965	158	54	same	same	ADJ
ejpam-1965	158	55	for	for	ADP
ejpam-1965	158	56	all	all	PRON
ejpam-1965	158	57	k	k	PROPN
ejpam-1965	158	58	∈	∈	PROPN
ejpam-1965	158	59	q	q	X
ejpam-1965	158	60	i	i	INTJ
ejpam-1965	158	61	.	.	PUNCT
ejpam-1965	159	1	then	then	ADV
ejpam-1965	159	2	the	the	DET
ejpam-1965	159	3	matrix	matrix	NOUN
ejpam-1965	159	4	s	s	PART
ejpam-1965	159	5	=	=	PUNCT
ejpam-1965	159	6	(	(	PUNCT
ejpam-1965	159	7	si	si	PROPN
ejpam-1965	159	8	j	j	PROPN
ejpam-1965	159	9	)	)	PUNCT
ejpam-1965	159	10	of	of	ADP
ejpam-1965	159	11	order	order	NOUN
ejpam-1965	159	12	d	d	NOUN
ejpam-1965	159	13	+	+	CCONJ
ejpam-1965	159	14	1	1	NUM
ejpam-1965	159	15	is	be	AUX
ejpam-1965	159	16	well	well	ADV
ejpam-1965	159	17	defined	define	VERB
ejpam-1965	159	18	,	,	PUNCT
ejpam-1965	159	19	where	where	SCONJ
ejpam-1965	159	20	s	s	VERB
ejpam-1965	159	21	ji	ji	PROPN
ejpam-1965	159	22	=	=	PROPN
ejpam-1965	159	23	s(αk	s(αk	PROPN
ejpam-1965	159	24	)	)	PUNCT
ejpam-1965	159	25	,	,	PUNCT
ejpam-1965	160	1	if	if	SCONJ
ejpam-1965	160	2	k	k	PROPN
ejpam-1965	160	3	∈	∈	PROPN
ejpam-1965	160	4	dj	dj	PROPN
ejpam-1965	160	5	,	,	PUNCT
ejpam-1965	160	6	i	i	PRON
ejpam-1965	160	7	and	and	CCONJ
ejpam-1965	160	8	sd	sd	ADP
ejpam-1965	160	9	j	j	PROPN
ejpam-1965	160	10	=	=	SYM
ejpam-1965	160	11	s(αk	s(αk	PROPN
ejpam-1965	160	12	)	)	PUNCT
ejpam-1965	160	13	,	,	PUNCT
ejpam-1965	160	14	if	if	SCONJ
ejpam-1965	160	15	k	k	PROPN
ejpam-1965	160	16	∈	∈	PROPN
ejpam-1965	160	17	pj	pj	PROPN
ejpam-1965	160	18	;	;	PUNCT
ejpam-1965	160	19	sid	sid	PROPN
ejpam-1965	160	20	=	=	SYM
ejpam-1965	160	21	s(αk	s(αk	PROPN
ejpam-1965	160	22	)	)	PUNCT
ejpam-1965	160	23	,	,	PUNCT
ejpam-1965	160	24	if	if	SCONJ
ejpam-1965	160	25	k	k	PROPN
ejpam-1965	160	26	∈	∈	PROPN
ejpam-1965	160	27	q	q	PROPN
ejpam-1965	161	1	i	i	X
ejpam-1965	161	2	;	;	PUNCT
ejpam-1965	161	3	i	i	PRON
ejpam-1965	161	4	,	,	PUNCT
ejpam-1965	161	5	j	j	PROPN
ejpam-1965	161	6	=	=	SYM
ejpam-1965	161	7	0	0	NUM
ejpam-1965	161	8	,	,	PUNCT
ejpam-1965	161	9	1	1	NUM
ejpam-1965	161	10	,	,	PUNCT
ejpam-1965	161	11	.	.	PUNCT
ejpam-1965	161	12	.	.	PUNCT
ejpam-1965	161	13	.	.	PUNCT
ejpam-1965	162	1	,	,	PUNCT
ejpam-1965	163	1	d	d	X
ejpam-1965	163	2	−	−	PROPN
ejpam-1965	163	3	1	1	NUM
ejpam-1965	163	4	,	,	PUNCT
ejpam-1965	163	5	sdd	sdd	NOUN
ejpam-1965	163	6	=	=	SYM
ejpam-1965	163	7	s(1	s(1	PROPN
ejpam-1965	163	8	)	)	PUNCT
ejpam-1965	163	9	.	.	PUNCT
ejpam-1965	164	1	let	let	VERB
ejpam-1965	164	2	us	we	PRON
ejpam-1965	164	3	note	note	VERB
ejpam-1965	164	4	that	that	SCONJ
ejpam-1965	164	5	in	in	ADP
ejpam-1965	164	6	order	order	NOUN
ejpam-1965	164	7	to	to	PART
ejpam-1965	164	8	compute	compute	VERB
ejpam-1965	164	9	the	the	DET
ejpam-1965	164	10	linear	linear	ADJ
ejpam-1965	164	11	complexity	complexity	NOUN
ejpam-1965	164	12	of	of	ADP
ejpam-1965	164	13	sequences	sequence	NOUN
ejpam-1965	164	14	s∞	s∞	PROPN
ejpam-1965	164	15	and	and	CCONJ
ejpam-1965	164	16	m(x	m(x	NOUN
ejpam-1965	164	17	)	)	PUNCT
ejpam-1965	164	18	it	it	PRON
ejpam-1965	164	19	suffices	suffice	VERB
ejpam-1965	164	20	to	to	PART
ejpam-1965	164	21	define	define	VERB
ejpam-1965	164	22	the	the	DET
ejpam-1965	164	23	zero	zero	NUM
ejpam-1965	164	24	elements	element	NOUN
ejpam-1965	164	25	of	of	ADP
ejpam-1965	164	26	the	the	DET
ejpam-1965	164	27	matrix	matrix	NOUN
ejpam-1965	164	28	s.	s.	PROPN
ejpam-1965	164	29	additionally	additionally	ADV
ejpam-1965	164	30	we	we	PRON
ejpam-1965	164	31	note	note	VERB
ejpam-1965	164	32	that	that	SCONJ
ejpam-1965	164	33	theorem	theorem	VERB
ejpam-1965	164	34	1	1	NUM
ejpam-1965	164	35	also	also	ADV
ejpam-1965	164	36	allows	allow	VERB
ejpam-1965	164	37	to	to	PART
ejpam-1965	164	38	evaluate	evaluate	VERB
ejpam-1965	164	39	the	the	DET
ejpam-1965	164	40	linear	linear	ADJ
ejpam-1965	164	41	complexity	complexity	NOUN
ejpam-1965	164	42	of	of	ADP
ejpam-1965	164	43	the	the	DET
ejpam-1965	164	44	sequence	sequence	NOUN
ejpam-1965	164	45	s∞	s∞	NOUN
ejpam-1965	164	46	as	as	SCONJ
ejpam-1965	164	47	it	it	PRON
ejpam-1965	164	48	was	be	AUX
ejpam-1965	164	49	done	do	VERB
ejpam-1965	164	50	in	in	ADP
ejpam-1965	164	51	[	[	X
ejpam-1965	164	52	18	18	NUM
ejpam-1965	164	53	]	]	PUNCT
ejpam-1965	164	54	.	.	PUNCT
ejpam-1965	165	1	later	later	ADV
ejpam-1965	165	2	on	on	ADV
ejpam-1965	165	3	,	,	PUNCT
ejpam-1965	165	4	for	for	ADP
ejpam-1965	165	5	the	the	DET
ejpam-1965	165	6	convenience	convenience	NOUN
ejpam-1965	165	7	of	of	ADP
ejpam-1965	165	8	computations	computation	NOUN
ejpam-1965	165	9	of	of	ADP
ejpam-1965	165	10	the	the	DET
ejpam-1965	165	11	matrix	matrix	NOUN
ejpam-1965	165	12	s	s	VERB
ejpam-1965	165	13	we	we	PRON
ejpam-1965	165	14	introduce	introduce	VERB
ejpam-1965	165	15	the	the	DET
ejpam-1965	165	16	following	following	ADJ
ejpam-1965	165	17	notations	notation	NOUN
ejpam-1965	165	18	:	:	PUNCT
ejpam-1965	165	19	sd(x	sd(x	NUM
ejpam-1965	165	20	)	)	PUNCT
ejpam-1965	165	21	=	=	SYM
ejpam-1965	165	22	�	�	PROPN
ejpam-1965	165	23	sd(x	sd(x	PUNCT
ejpam-1965	165	24	)	)	PUNCT
ejpam-1965	165	25	,	,	PUNCT
ejpam-1965	165	26	sd(x	sd(x	PUNCT
ejpam-1965	165	27	g	g	NOUN
ejpam-1965	165	28	)	)	PUNCT
ejpam-1965	165	29	,	,	PUNCT
ejpam-1965	165	30	.	.	PUNCT
ejpam-1965	165	31	.	.	PUNCT
ejpam-1965	165	32	.	.	PUNCT
ejpam-1965	166	1	,	,	PUNCT
ejpam-1965	166	2	sd(x	sd(x	PUNCT
ejpam-1965	166	3	gd−1	gd−1	PROPN
ejpam-1965	166	4	)	)	PUNCT
ejpam-1965	166	5	,	,	PUNCT
ejpam-1965	166	6	sd(1	sd(1	PROPN
ejpam-1965	166	7	)	)	PUNCT
ejpam-1965	166	8	�	�	PROPN
ejpam-1965	166	9	,	,	PUNCT
ejpam-1965	166	10	td(x	td(x	NOUN
ejpam-1965	166	11	)	)	PUNCT
ejpam-1965	166	12	=	=	SYM
ejpam-1965	166	13	�	�	PROPN
ejpam-1965	166	14	td(x	td(x	PUNCT
ejpam-1965	166	15	)	)	PUNCT
ejpam-1965	166	16	,	,	PUNCT
ejpam-1965	166	17	td(x	td(x	PUNCT
ejpam-1965	166	18	g	g	NOUN
ejpam-1965	166	19	)	)	PUNCT
ejpam-1965	166	20	,	,	PUNCT
ejpam-1965	166	21	.	.	PUNCT
ejpam-1965	166	22	.	.	PUNCT
ejpam-1965	167	1	.	.	PUNCT
ejpam-1965	168	1	,	,	PUNCT
ejpam-1965	168	2	td(x	td(x	PUNCT
ejpam-1965	168	3	gd−1	gd−1	PROPN
ejpam-1965	168	4	)	)	PUNCT
ejpam-1965	168	5	,	,	PUNCT
ejpam-1965	168	6	td(1	td(1	NOUN
ejpam-1965	168	7	)	)	PUNCT
ejpam-1965	168	8	�	�	PROPN
ejpam-1965	168	9	.	.	PUNCT
ejpam-1965	169	1	let	let	VERB
ejpam-1965	169	2	ad(x	ad(x	ADV
ejpam-1965	169	3	)	)	PUNCT
ejpam-1965	170	1	=	=	SYM
ejpam-1965	170	2	d−1	d−1	PROPN
ejpam-1965	170	3	∑	∑	PROPN
ejpam-1965	170	4	i	i	PROPN
ejpam-1965	170	5	=	=	NOUN
ejpam-1965	170	6	d/2	d/2	PROPN
ejpam-1965	170	7	sd(x	sd(x	PUNCT
ejpam-1965	170	8	g	g	PROPN
ejpam-1965	170	9	i	i	PROPN
ejpam-1965	170	10	)	)	PUNCT
ejpam-1965	170	11	and	and	CCONJ
ejpam-1965	170	12	bd(x	bd(x	NOUN
ejpam-1965	170	13	)	)	PUNCT
ejpam-1965	170	14	=	=	SYM
ejpam-1965	171	1	d−1	d−1	PROPN
ejpam-1965	171	2	∑	∑	PROPN
ejpam-1965	171	3	i	i	PROPN
ejpam-1965	171	4	=	=	NOUN
ejpam-1965	171	5	d/2	d/2	PROPN
ejpam-1965	171	6	td(x	td(x	PUNCT
ejpam-1965	171	7	g	g	PROPN
ejpam-1965	171	8	i	i	PROPN
ejpam-1965	171	9	)	)	PUNCT
ejpam-1965	171	10	.	.	PUNCT
ejpam-1965	172	1	then	then	ADV
ejpam-1965	172	2	immediately	immediately	ADV
ejpam-1965	172	3	from	from	ADP
ejpam-1965	172	4	theorem	theorem	NOUN
ejpam-1965	172	5	1	1	NUM
ejpam-1965	172	6	we	we	PRON
ejpam-1965	172	7	obtain	obtain	VERB
ejpam-1965	172	8	the	the	DET
ejpam-1965	172	9	following	following	NOUN
ejpam-1965	172	10	:	:	PUNCT
ejpam-1965	172	11	lemma	lemma	PROPN
ejpam-1965	172	12	4	4	X
ejpam-1965	172	13	.	.	PUNCT
ejpam-1965	172	14	let	let	VERB
ejpam-1965	172	15	the	the	DET
ejpam-1965	172	16	symbols	symbol	NOUN
ejpam-1965	172	17	be	be	AUX
ejpam-1965	172	18	the	the	DET
ejpam-1965	172	19	same	same	ADJ
ejpam-1965	172	20	as	as	ADP
ejpam-1965	172	21	before	before	ADV
ejpam-1965	172	22	.	.	PUNCT
ejpam-1965	173	1	then	then	ADV
ejpam-1965	173	2	we	we	PRON
ejpam-1965	173	3	have	have	VERB
ejpam-1965	173	4	s=	s=	PROPN
ejpam-1965	173	5	�	�	PROPN
ejpam-1965	173	6	1	1	NUM
ejpam-1965	173	7	.	.	PUNCT
ejpam-1965	173	8	.	.	PUNCT
ejpam-1965	173	9	.	.	PUNCT
ejpam-1965	174	1	1	1	NUM
ejpam-1965	174	2	0	0	NUM
ejpam-1965	174	3	�	�	PROPN
ejpam-1965	174	4	t	t	PROPN
ejpam-1965	174	5	bd	bd	PROPN
ejpam-1965	174	6	�	�	PROPN
ejpam-1965	174	7	γg−ind(q)g	γg−ind(q)g	ADV
ejpam-1965	174	8	p	p	PROPN
ejpam-1965	174	9	�	�	PROPN
ejpam-1965	174	10	+	+	CCONJ
ejpam-1965	174	11	�	�	PROPN
ejpam-1965	174	12	1	1	NUM
ejpam-1965	174	13	1	1	NUM
ejpam-1965	174	14	.	.	PUNCT
ejpam-1965	174	15	.	.	PUNCT
ejpam-1965	174	16	.	.	PUNCT
ejpam-1965	175	1	1	1	NUM
ejpam-1965	175	2	�	�	PROPN
ejpam-1965	175	3	t	t	PROPN
ejpam-1965	175	4	bd(γ	bd(γ	PUNCT
ejpam-1965	175	5	)	)	PUNCT
ejpam-1965	176	1	+	+	ADV
ejpam-1965	176	2	at	at	ADP
ejpam-1965	176	3	d	d	PROPN
ejpam-1965	176	4	(	(	PUNCT
ejpam-1965	176	5	β	β	NOUN
ejpam-1965	176	6	)	)	PUNCT
ejpam-1965	176	7	�	�	PROPN
ejpam-1965	176	8	1	1	NUM
ejpam-1965	176	9	.	.	PUNCT
ejpam-1965	176	10	.	.	PUNCT
ejpam-1965	176	11	.	.	PUNCT
ejpam-1965	177	1	1	1	NUM
ejpam-1965	177	2	�	�	PROPN
ejpam-1965	177	3	,	,	PUNCT
ejpam-1965	177	4	(	(	PUNCT
ejpam-1965	177	5	10	10	NUM
ejpam-1965	177	6	)	)	PUNCT
ejpam-1965	177	7	where	where	SCONJ
ejpam-1965	177	8	at	at	ADP
ejpam-1965	177	9	is	be	AUX
ejpam-1965	177	10	a	a	DET
ejpam-1965	177	11	transposed	transpose	VERB
ejpam-1965	177	12	matrix	matrix	NOUN
ejpam-1965	177	13	a.	a.	NOUN
ejpam-1965	177	14	the	the	DET
ejpam-1965	177	15	method	method	NOUN
ejpam-1965	177	16	of	of	ADP
ejpam-1965	177	17	computation	computation	NOUN
ejpam-1965	177	18	sd(β	sd(β	NOUN
ejpam-1965	177	19	)	)	PUNCT
ejpam-1965	177	20	and	and	CCONJ
ejpam-1965	177	21	td(γ	td(γ	PUNCT
ejpam-1965	177	22	)	)	PUNCT
ejpam-1965	177	23	by	by	ADP
ejpam-1965	177	24	using	use	VERB
ejpam-1965	177	25	explicit	explicit	ADJ
ejpam-1965	177	26	formulas	formula	NOUN
ejpam-1965	177	27	for	for	ADP
ejpam-1965	177	28	computation	computation	NOUN
ejpam-1965	177	29	of	of	ADP
ejpam-1965	177	30	cyclotomic	cyclotomic	ADJ
ejpam-1965	177	31	numbers	number	NOUN
ejpam-1965	177	32	was	be	AUX
ejpam-1965	177	33	proposed	propose	VERB
ejpam-1965	177	34	in	in	ADP
ejpam-1965	177	35	[	[	X
ejpam-1965	177	36	9	9	NUM
ejpam-1965	177	37	,	,	PUNCT
ejpam-1965	177	38	10	10	NUM
ejpam-1965	177	39	]	]	PUNCT
ejpam-1965	177	40	.	.	PUNCT
ejpam-1965	178	1	using	use	VERB
ejpam-1965	178	2	theorem	theorem	NOUN
ejpam-1965	178	3	1	1	NUM
ejpam-1965	178	4	in	in	ADP
ejpam-1965	178	5	the	the	DET
ejpam-1965	178	6	next	next	ADJ
ejpam-1965	178	7	sections	section	NOUN
ejpam-1965	178	8	we	we	PRON
ejpam-1965	178	9	will	will	AUX
ejpam-1965	178	10	obtain	obtain	VERB
ejpam-1965	178	11	new	new	ADJ
ejpam-1965	178	12	results	result	NOUN
ejpam-1965	178	13	of	of	ADP
ejpam-1965	178	14	the	the	DET
ejpam-1965	178	15	linear	linear	ADJ
ejpam-1965	178	16	complexity	complexity	NOUN
ejpam-1965	178	17	of	of	ADP
ejpam-1965	178	18	ding	ding	NOUN
ejpam-1965	178	19	-	-	PUNCT
ejpam-1965	178	20	helleseth	helleseth	NOUN
ejpam-1965	178	21	-	-	PUNCT
ejpam-1965	178	22	generalized	generalize	VERB
ejpam-1965	178	23	sequences	sequence	NOUN
ejpam-1965	178	24	of	of	ADP
ejpam-1965	178	25	order	order	NOUN
ejpam-1965	178	26	four	four	NUM
ejpam-1965	178	27	and	and	CCONJ
ejpam-1965	178	28	six	six	NUM
ejpam-1965	178	29	.	.	PUNCT
ejpam-1965	179	1	v.	v.	ADP
ejpam-1965	179	2	edemskiy	edemskiy	NOUN
ejpam-1965	180	1	and	and	CCONJ
ejpam-1965	180	2	o.	o.	INTJ
ejpam-1965	180	3	antonova	antonova	PROPN
ejpam-1965	180	4	/	/	SYM
ejpam-1965	180	5	eur	eur	PROPN
ejpam-1965	180	6	.	.	PUNCT
ejpam-1965	181	1	j.	j.	PROPN
ejpam-1965	181	2	pure	pure	PROPN
ejpam-1965	181	3	appl	appl	PROPN
ejpam-1965	181	4	.	.	PROPN
ejpam-1965	181	5	math	math	PROPN
ejpam-1965	181	6	,	,	PUNCT
ejpam-1965	181	7	7	7	NUM
ejpam-1965	181	8	(	(	PUNCT
ejpam-1965	181	9	2014	2014	NUM
ejpam-1965	181	10	)	)	PUNCT
ejpam-1965	181	11	,	,	PUNCT
ejpam-1965	181	12	256	256	NUM
ejpam-1965	181	13	-	-	SYM
ejpam-1965	181	14	266	266	NUM
ejpam-1965	181	15	261	261	NUM
ejpam-1965	181	16	3	3	NUM
ejpam-1965	181	17	.	.	PUNCT
ejpam-1965	182	1	the	the	DET
ejpam-1965	182	2	linear	linear	ADJ
ejpam-1965	182	3	complexity	complexity	NOUN
ejpam-1965	182	4	and	and	CCONJ
ejpam-1965	182	5	the	the	DET
ejpam-1965	182	6	minimal	minimal	ADJ
ejpam-1965	182	7	polynomial	polynomial	NOUN
ejpam-1965	182	8	of	of	ADP
ejpam-1965	182	9	d	d	NOUN
ejpam-1965	182	10	-	-	NOUN
ejpam-1965	182	11	gcs4	gcs4	NOUN
ejpam-1965	182	12	for	for	ADP
ejpam-1965	182	13	d	d	PROPN
ejpam-1965	182	14	=	=	SYM
ejpam-1965	182	15	4	4	NUM
ejpam-1965	182	16	there	there	PRON
ejpam-1965	182	17	is	be	VERB
ejpam-1965	182	18	an	an	DET
ejpam-1965	182	19	expansion	expansion	NOUN
ejpam-1965	182	20	p	p	NOUN
ejpam-1965	182	21	=	=	SYM
ejpam-1965	182	22	x2	x2	PROPN
ejpam-1965	183	1	+	+	CCONJ
ejpam-1965	183	2	4y2	4y2	NUM
ejpam-1965	183	3	,	,	PUNCT
ejpam-1965	183	4	where	where	SCONJ
ejpam-1965	183	5	x	x	X
ejpam-1965	183	6	,	,	PUNCT
ejpam-1965	183	7	y	y	PROPN
ejpam-1965	183	8	are	be	AUX
ejpam-1965	183	9	integers	integer	NOUN
ejpam-1965	183	10	and	and	CCONJ
ejpam-1965	183	11	x	x	SYM
ejpam-1965	183	12	≡	≡	PROPN
ejpam-1965	183	13	1(mod4	1(mod4	NUM
ejpam-1965	183	14	)	)	PUNCT
ejpam-1965	184	1	[	[	X
ejpam-1965	184	2	12	12	NUM
ejpam-1965	184	3	]	]	PUNCT
ejpam-1965	184	4	.	.	PUNCT
ejpam-1965	185	1	in	in	ADP
ejpam-1965	185	2	[	[	X
ejpam-1965	185	3	9	9	NUM
ejpam-1965	185	4	]	]	PUNCT
ejpam-1965	185	5	the	the	DET
ejpam-1965	185	6	values	value	NOUN
ejpam-1965	185	7	of	of	ADP
ejpam-1965	185	8	the	the	DET
ejpam-1965	185	9	polynomial	polynomial	ADJ
ejpam-1965	185	10	s4(β	s4(β	PROPN
ejpam-1965	185	11	)	)	PUNCT
ejpam-1965	185	12	�	�	PROPN
ejpam-1965	185	13	t4(γ	t4(γ	NUM
ejpam-1965	185	14	)	)	PUNCT
ejpam-1965	185	15	�	�	NOUN
ejpam-1965	185	16	are	be	AUX
ejpam-1965	185	17	computed	compute	VERB
ejpam-1965	185	18	depending	depend	VERB
ejpam-1965	185	19	on	on	ADP
ejpam-1965	185	20	x	x	SYM
ejpam-1965	185	21	,	,	PUNCT
ejpam-1965	185	22	y	y	PROPN
ejpam-1965	185	23	.	.	PUNCT
ejpam-1965	186	1	let	let	VERB
ejpam-1965	186	2	�	�	PROPN
ejpam-1965	186	3	2	2	NUM
ejpam-1965	186	4	p	p	NOUN
ejpam-1965	186	5	�	�	PROPN
ejpam-1965	186	6	4	4	NUM
ejpam-1965	186	7	and	and	CCONJ
ejpam-1965	186	8	�	�	PROPN
ejpam-1965	186	9	2	2	NUM
ejpam-1965	186	10	p	p	NOUN
ejpam-1965	186	11	�	�	PROPN
ejpam-1965	186	12	2	2	NUM
ejpam-1965	186	13	denote	denote	VERB
ejpam-1965	186	14	the	the	DET
ejpam-1965	186	15	symbols	symbol	NOUN
ejpam-1965	186	16	of	of	ADP
ejpam-1965	186	17	the	the	DET
ejpam-1965	186	18	4th	4th	ADJ
ejpam-1965	186	19	residues	residue	NOUN
ejpam-1965	186	20	and	and	CCONJ
ejpam-1965	186	21	2th	2th	NOUN
ejpam-1965	186	22	residues	residue	NOUN
ejpam-1965	186	23	of	of	ADP
ejpam-1965	186	24	p	p	NOUN
ejpam-1965	186	25	respectively	respectively	ADV
ejpam-1965	186	26	.	.	PUNCT
ejpam-1965	187	1	the	the	DET
ejpam-1965	187	2	following	follow	VERB
ejpam-1965	187	3	lemma	lemma	PROPN
ejpam-1965	187	4	5	5	NUM
ejpam-1965	187	5	is	be	AUX
ejpam-1965	187	6	needed	need	VERB
ejpam-1965	187	7	to	to	PART
ejpam-1965	187	8	prove	prove	VERB
ejpam-1965	187	9	theorem	theorem	ADJ
ejpam-1965	187	10	2	2	NUM
ejpam-1965	187	11	.	.	PUNCT
ejpam-1965	188	1	lemma	lemma	PROPN
ejpam-1965	188	2	5	5	X
ejpam-1965	188	3	.	.	PUNCT
ejpam-1965	189	1	let	let	VERB
ejpam-1965	189	2	the	the	DET
ejpam-1965	189	3	symbols	symbol	NOUN
ejpam-1965	189	4	be	be	AUX
ejpam-1965	189	5	the	the	DET
ejpam-1965	189	6	same	same	ADJ
ejpam-1965	189	7	as	as	ADP
ejpam-1965	189	8	before	before	ADV
ejpam-1965	189	9	.	.	PUNCT
ejpam-1965	190	1	(	(	PUNCT
ejpam-1965	190	2	i	i	NOUN
ejpam-1965	190	3	)	)	PUNCT
ejpam-1965	190	4	if	if	SCONJ
ejpam-1965	190	5	�	�	PROPN
ejpam-1965	190	6	2	2	NUM
ejpam-1965	190	7	p	p	NOUN
ejpam-1965	190	8	�	�	PROPN
ejpam-1965	190	9	4	4	NUM
ejpam-1965	190	10	=	=	SYM
ejpam-1965	190	11	1	1	NUM
ejpam-1965	190	12	,	,	PUNCT
ejpam-1965	190	13	then	then	ADV
ejpam-1965	190	14	a4(β	a4(β	PROPN
ejpam-1965	190	15	)	)	PUNCT
ejpam-1965	190	16	=	=	SYM
ejpam-1965	190	17	(	(	PUNCT
ejpam-1965	190	18	0,0	0,0	NOUN
ejpam-1965	190	19	,	,	PUNCT
ejpam-1965	190	20	1,1	1,1	NUM
ejpam-1965	190	21	,	,	PUNCT
ejpam-1965	190	22	0	0	NUM
ejpam-1965	190	23	)	)	PUNCT
ejpam-1965	190	24	or	or	CCONJ
ejpam-1965	190	25	a4(β	a4(β	X
ejpam-1965	190	26	)	)	PUNCT
ejpam-1965	190	27	=	=	PUNCT
ejpam-1965	190	28	(	(	PUNCT
ejpam-1965	190	29	1	1	NUM
ejpam-1965	190	30	,	,	PUNCT
ejpam-1965	190	31	1,0	1,0	NUM
ejpam-1965	190	32	,	,	PUNCT
ejpam-1965	190	33	0,0	0,0	NOUN
ejpam-1965	190	34	)	)	PUNCT
ejpam-1965	190	35	.	.	PUNCT
ejpam-1965	191	1	(	(	PUNCT
ejpam-1965	191	2	ii	ii	NOUN
ejpam-1965	191	3	)	)	PUNCT
ejpam-1965	191	4	if	if	SCONJ
ejpam-1965	191	5	�	�	PROPN
ejpam-1965	191	6	2	2	NUM
ejpam-1965	191	7	p	p	NOUN
ejpam-1965	191	8	�	�	PROPN
ejpam-1965	191	9	2	2	NUM
ejpam-1965	191	10	=	=	SYM
ejpam-1965	191	11	1	1	NUM
ejpam-1965	191	12	and	and	CCONJ
ejpam-1965	191	13	�	�	PROPN
ejpam-1965	191	14	2	2	NUM
ejpam-1965	191	15	p	p	PROPN
ejpam-1965	191	16	�	�	PROPN
ejpam-1965	191	17	4	4	NUM
ejpam-1965	191	18	6=	6=	NUM
ejpam-1965	191	19	1	1	NUM
ejpam-1965	191	20	,	,	PUNCT
ejpam-1965	191	21	then	then	ADV
ejpam-1965	191	22	a4(β	a4(β	PROPN
ejpam-1965	191	23	)	)	PUNCT
ejpam-1965	191	24	=	=	PUNCT
ejpam-1965	192	1	(	(	PUNCT
ejpam-1965	192	2	µ,µ	µ,µ	NOUN
ejpam-1965	192	3	+	+	CCONJ
ejpam-1965	192	4	1,µ	1,µ	NUM
ejpam-1965	192	5	+	+	CCONJ
ejpam-1965	192	6	1,µ	1,µ	NUM
ejpam-1965	192	7	,	,	PUNCT
ejpam-1965	192	8	0	0	NUM
ejpam-1965	192	9	)	)	PUNCT
ejpam-1965	192	10	,	,	PUNCT
ejpam-1965	192	11	where	where	SCONJ
ejpam-1965	192	12	µ	µ	X
ejpam-1965	192	13	meets	meet	VERB
ejpam-1965	192	14	the	the	DET
ejpam-1965	192	15	rule	rule	NOUN
ejpam-1965	192	16	µ2	µ2	PROPN
ejpam-1965	192	17	+	+	PROPN
ejpam-1965	192	18	µ+	µ+	X
ejpam-1965	192	19	1=	1=	NUM
ejpam-1965	192	20	0	0	NUM
ejpam-1965	192	21	.	.	PUNCT
ejpam-1965	193	1	(	(	PUNCT
ejpam-1965	193	2	iii	iii	X
ejpam-1965	193	3	)	)	PUNCT
ejpam-1965	193	4	if	if	SCONJ
ejpam-1965	193	5	�	�	PROPN
ejpam-1965	193	6	2	2	NUM
ejpam-1965	193	7	p	p	NOUN
ejpam-1965	193	8	�	�	PROPN
ejpam-1965	193	9	2	2	NUM
ejpam-1965	193	10	6=	6=	NUM
ejpam-1965	193	11	1	1	NUM
ejpam-1965	193	12	,	,	PUNCT
ejpam-1965	193	13	then	then	ADV
ejpam-1965	193	14	a4(β	a4(β	PROPN
ejpam-1965	193	15	)	)	PUNCT
ejpam-1965	193	16	=	=	SYM
ejpam-1965	193	17	(	(	PUNCT
ejpam-1965	193	18	η	η	PROPN
ejpam-1965	193	19	,	,	PUNCT
ejpam-1965	193	20	η2,η4,η8	η2,η4,η8	PROPN
ejpam-1965	193	21	,	,	PUNCT
ejpam-1965	193	22	0	0	NUM
ejpam-1965	193	23	)	)	PUNCT
ejpam-1965	193	24	or	or	CCONJ
ejpam-1965	193	25	a4(β	a4(β	PROPN
ejpam-1965	193	26	)	)	PUNCT
ejpam-1965	193	27	=	=	SYM
ejpam-1965	193	28	(	(	PUNCT
ejpam-1965	193	29	η	η	PROPN
ejpam-1965	193	30	,	,	PUNCT
ejpam-1965	193	31	η8,η4,η2	η8,η4,η2	NOUN
ejpam-1965	193	32	,	,	PUNCT
ejpam-1965	193	33	0	0	NUM
ejpam-1965	193	34	)	)	PUNCT
ejpam-1965	193	35	,	,	PUNCT
ejpam-1965	193	36	where	where	SCONJ
ejpam-1965	193	37	η	η	PROPN
ejpam-1965	193	38	meets	meet	VERB
ejpam-1965	193	39	the	the	DET
ejpam-1965	193	40	condition	condition	NOUN
ejpam-1965	193	41	η4	η4	VERB
ejpam-1965	193	42	+	+	PROPN
ejpam-1965	193	43	η+	η+	X
ejpam-1965	193	44	1=	1=	X
ejpam-1965	193	45	0	0	NUM
ejpam-1965	193	46	.	.	PUNCT
ejpam-1965	194	1	proof	proof	NOUN
ejpam-1965	194	2	.	.	PUNCT
ejpam-1965	195	1	by	by	ADP
ejpam-1965	195	2	definition	definition	NOUN
ejpam-1965	195	3	a4(β	a4(β	PROPN
ejpam-1965	195	4	)	)	PUNCT
ejpam-1965	195	5	=	=	PUNCT
ejpam-1965	195	6	s4(β	s4(β	NUM
ejpam-1965	195	7	g2	g2	PROPN
ejpam-1965	195	8	)	)	PUNCT
ejpam-1965	195	9	+	+	CCONJ
ejpam-1965	195	10	s4(β	s4(β	NUM
ejpam-1965	195	11	g3	g3	NOUN
ejpam-1965	195	12	)	)	PUNCT
ejpam-1965	195	13	.	.	PUNCT
ejpam-1965	196	1	consequently	consequently	ADV
ejpam-1965	196	2	,	,	PUNCT
ejpam-1965	196	3	to	to	PART
ejpam-1965	196	4	prove	prove	VERB
ejpam-1965	196	5	lemma	lemma	PROPN
ejpam-1965	196	6	5	5	NUM
ejpam-1965	196	7	it	it	PRON
ejpam-1965	196	8	is	be	AUX
ejpam-1965	196	9	sufficient	sufficient	ADJ
ejpam-1965	196	10	to	to	PART
ejpam-1965	196	11	give	give	VERB
ejpam-1965	196	12	the	the	DET
ejpam-1965	196	13	values	value	NOUN
ejpam-1965	196	14	of	of	ADP
ejpam-1965	196	15	s4(β	s4(β	NOUN
ejpam-1965	196	16	)	)	PUNCT
ejpam-1965	196	17	for	for	ADP
ejpam-1965	196	18	each	each	DET
ejpam-1965	196	19	option	option	NOUN
ejpam-1965	196	20	.	.	PUNCT
ejpam-1965	197	1	(	(	PUNCT
ejpam-1965	197	2	i	i	NOUN
ejpam-1965	197	3	)	)	PUNCT
ejpam-1965	197	4	if	if	SCONJ
ejpam-1965	197	5	�	�	PROPN
ejpam-1965	197	6	2	2	NUM
ejpam-1965	197	7	p	p	NOUN
ejpam-1965	197	8	�	�	PROPN
ejpam-1965	197	9	4	4	NUM
ejpam-1965	197	10	=	=	SYM
ejpam-1965	197	11	1	1	NUM
ejpam-1965	197	12	,	,	PUNCT
ejpam-1965	197	13	then	then	ADV
ejpam-1965	197	14	y	y	PROPN
ejpam-1965	197	15	≡	≡	PROPN
ejpam-1965	197	16	0(mod4	0(mod4	NUM
ejpam-1965	197	17	)	)	PUNCT
ejpam-1965	198	1	[	[	X
ejpam-1965	198	2	12	12	NUM
ejpam-1965	198	3	]	]	PUNCT
ejpam-1965	198	4	.	.	PUNCT
ejpam-1965	199	1	in	in	ADP
ejpam-1965	199	2	this	this	DET
ejpam-1965	199	3	case	case	NOUN
ejpam-1965	199	4	,	,	PUNCT
ejpam-1965	199	5	by	by	ADP
ejpam-1965	199	6	[	[	PUNCT
ejpam-1965	199	7	9	9	X
ejpam-1965	199	8	]	]	PUNCT
ejpam-1965	199	9	we	we	PRON
ejpam-1965	199	10	have	have	VERB
ejpam-1965	199	11	s4(β	s4(β	NUM
ejpam-1965	199	12	)	)	PUNCT
ejpam-1965	199	13	=	=	SYM
ejpam-1965	199	14	(	(	PUNCT
ejpam-1965	199	15	1	1	NUM
ejpam-1965	199	16	,	,	PUNCT
ejpam-1965	199	17	1,0	1,0	NUM
ejpam-1965	199	18	,	,	PUNCT
ejpam-1965	199	19	1,0	1,0	NUM
ejpam-1965	199	20	)	)	PUNCT
ejpam-1965	199	21	for	for	ADP
ejpam-1965	199	22	x	x	PROPN
ejpam-1965	199	23	≡	≡	PROPN
ejpam-1965	199	24	5(mod8	5(mod8	NUM
ejpam-1965	199	25	)	)	PUNCT
ejpam-1965	199	26	or	or	CCONJ
ejpam-1965	199	27	s4(β	s4(β	NUM
ejpam-1965	199	28	)	)	PUNCT
ejpam-1965	199	29	=	=	SYM
ejpam-1965	199	30	(	(	PUNCT
ejpam-1965	199	31	1	1	NUM
ejpam-1965	199	32	,	,	PUNCT
ejpam-1965	199	33	0,0	0,0	NOUN
ejpam-1965	199	34	,	,	PUNCT
ejpam-1965	199	35	0,0	0,0	NOUN
ejpam-1965	199	36	)	)	PUNCT
ejpam-1965	199	37	for	for	ADP
ejpam-1965	199	38	x	x	PROPN
ejpam-1965	199	39	≡	≡	PROPN
ejpam-1965	199	40	1(mod8	1(mod8	NUM
ejpam-1965	199	41	)	)	PUNCT
ejpam-1965	199	42	.	.	PUNCT
ejpam-1965	200	1	(	(	PUNCT
ejpam-1965	200	2	ii	ii	NOUN
ejpam-1965	200	3	)	)	PUNCT
ejpam-1965	200	4	if	if	SCONJ
ejpam-1965	200	5	�	�	PROPN
ejpam-1965	200	6	2	2	NUM
ejpam-1965	200	7	p	p	NOUN
ejpam-1965	200	8	�	�	PROPN
ejpam-1965	200	9	2	2	NUM
ejpam-1965	200	10	=	=	SYM
ejpam-1965	200	11	1	1	NUM
ejpam-1965	200	12	and	and	CCONJ
ejpam-1965	200	13	�	�	PROPN
ejpam-1965	200	14	2	2	NUM
ejpam-1965	200	15	p	p	PROPN
ejpam-1965	200	16	�	�	PROPN
ejpam-1965	200	17	4	4	NUM
ejpam-1965	200	18	6=	6=	NUM
ejpam-1965	200	19	1	1	NUM
ejpam-1965	200	20	,	,	PUNCT
ejpam-1965	200	21	then	then	ADV
ejpam-1965	200	22	s4(β	s4(β	NUM
ejpam-1965	200	23	)	)	PUNCT
ejpam-1965	200	24	=	=	SYM
ejpam-1965	200	25	(	(	PUNCT
ejpam-1965	200	26	µ	µ	NOUN
ejpam-1965	200	27	,	,	PUNCT
ejpam-1965	200	28	0,µ+	0,µ+	NOUN
ejpam-1965	200	29	1,0	1,0	NUM
ejpam-1965	200	30	,	,	PUNCT
ejpam-1965	200	31	0	0	NUM
ejpam-1965	200	32	)	)	PUNCT
ejpam-1965	200	33	for	for	ADP
ejpam-1965	200	34	x	x	PROPN
ejpam-1965	200	35	≡	≡	PROPN
ejpam-1965	200	36	5(mod8	5(mod8	NUM
ejpam-1965	200	37	)	)	PUNCT
ejpam-1965	200	38	or	or	CCONJ
ejpam-1965	200	39	s4(β	s4(β	NUM
ejpam-1965	200	40	)	)	PUNCT
ejpam-1965	200	41	=	=	SYM
ejpam-1965	200	42	(	(	PUNCT
ejpam-1965	200	43	µ	µ	NOUN
ejpam-1965	200	44	,	,	PUNCT
ejpam-1965	200	45	1,µ+	1,µ+	NOUN
ejpam-1965	200	46	1,1	1,1	NUM
ejpam-1965	200	47	,	,	PUNCT
ejpam-1965	200	48	0	0	NUM
ejpam-1965	200	49	)	)	PUNCT
ejpam-1965	200	50	for	for	ADP
ejpam-1965	200	51	x	x	PROPN
ejpam-1965	200	52	≡	≡	PROPN
ejpam-1965	200	53	1(mod8	1(mod8	NUM
ejpam-1965	200	54	)	)	PUNCT
ejpam-1965	200	55	,	,	PUNCT
ejpam-1965	200	56	where	where	SCONJ
ejpam-1965	200	57	µ	µ	X
ejpam-1965	200	58	meets	meet	VERB
ejpam-1965	200	59	the	the	DET
ejpam-1965	200	60	rule	rule	NOUN
ejpam-1965	200	61	µ2	µ2	PROPN
ejpam-1965	200	62	+	+	PROPN
ejpam-1965	200	63	µ+	µ+	X
ejpam-1965	200	64	1=	1=	NUM
ejpam-1965	200	65	0	0	PUNCT
ejpam-1965	201	1	[	[	X
ejpam-1965	201	2	9	9	NUM
ejpam-1965	201	3	]	]	PUNCT
ejpam-1965	201	4	.	.	PUNCT
ejpam-1965	202	1	(	(	PUNCT
ejpam-1965	202	2	iii	iii	X
ejpam-1965	202	3	)	)	PUNCT
ejpam-1965	202	4	if	if	SCONJ
ejpam-1965	202	5	�	�	PROPN
ejpam-1965	202	6	2	2	NUM
ejpam-1965	202	7	p	p	NOUN
ejpam-1965	202	8	�	�	PROPN
ejpam-1965	202	9	2	2	NUM
ejpam-1965	202	10	6=	6=	NUM
ejpam-1965	202	11	1	1	NUM
ejpam-1965	202	12	,	,	PUNCT
ejpam-1965	202	13	then	then	ADV
ejpam-1965	202	14	s4(β	s4(β	NUM
ejpam-1965	202	15	)	)	PUNCT
ejpam-1965	202	16	=	=	SYM
ejpam-1965	202	17	(	(	PUNCT
ejpam-1965	202	18	ζ	ζ	NOUN
ejpam-1965	202	19	,	,	PUNCT
ejpam-1965	202	20	ζ2,ζ4,ζ8	ζ2,ζ4,ζ8	NOUN
ejpam-1965	202	21	,	,	PUNCT
ejpam-1965	202	22	1	1	NUM
ejpam-1965	202	23	)	)	PUNCT
ejpam-1965	202	24	or	or	CCONJ
ejpam-1965	202	25	s4(β	s4(β	NUM
ejpam-1965	202	26	)	)	PUNCT
ejpam-1965	202	27	=	=	SYM
ejpam-1965	202	28	(	(	PUNCT
ejpam-1965	202	29	ζ	ζ	NOUN
ejpam-1965	202	30	,	,	PUNCT
ejpam-1965	202	31	ζ8,ζ4,ζ2	ζ8,ζ4,ζ2	ADJ
ejpam-1965	202	32	,	,	PUNCT
ejpam-1965	202	33	1	1	NUM
ejpam-1965	202	34	)	)	PUNCT
ejpam-1965	202	35	,	,	PUNCT
ejpam-1965	202	36	where	where	SCONJ
ejpam-1965	202	37	ζ	ζ	NOUN
ejpam-1965	202	38	meets	meet	VERB
ejpam-1965	202	39	the	the	DET
ejpam-1965	202	40	condition	condition	NOUN
ejpam-1965	202	41	ζ8	ζ8	NOUN
ejpam-1965	202	42	+	+	CCONJ
ejpam-1965	202	43	ζ4	ζ4	ADJ
ejpam-1965	202	44	+	+	CCONJ
ejpam-1965	202	45	ζ2	ζ2	NOUN
ejpam-1965	202	46	+	+	CCONJ
ejpam-1965	202	47	ζ+	ζ+	NUM
ejpam-1965	202	48	1=	1=	X
ejpam-1965	202	49	0	0	NUM
ejpam-1965	202	50	.	.	PUNCT
ejpam-1965	203	1	in	in	ADP
ejpam-1965	203	2	this	this	DET
ejpam-1965	203	3	case	case	NOUN
ejpam-1965	203	4	η=	η=	ADJ
ejpam-1965	203	5	ζ4	ζ4	NOUN
ejpam-1965	203	6	+	+	CCONJ
ejpam-1965	203	7	ζ8	ζ8	NOUN
ejpam-1965	203	8	or	or	CCONJ
ejpam-1965	203	9	η=	η=	ADJ
ejpam-1965	203	10	ζ4	ζ4	ADJ
ejpam-1965	203	11	+	+	CCONJ
ejpam-1965	203	12	ζ2	ζ2	NOUN
ejpam-1965	203	13	[	[	X
ejpam-1965	203	14	9	9	NUM
ejpam-1965	203	15	]	]	PUNCT
ejpam-1965	203	16	.	.	PUNCT
ejpam-1965	204	1	after	after	ADP
ejpam-1965	204	2	summing	sum	VERB
ejpam-1965	204	3	of	of	ADP
ejpam-1965	204	4	we	we	PRON
ejpam-1965	204	5	obtain	obtain	VERB
ejpam-1965	204	6	the	the	DET
ejpam-1965	204	7	statement	statement	NOUN
ejpam-1965	204	8	of	of	ADP
ejpam-1965	204	9	lemma	lemma	PROPN
ejpam-1965	204	10	5	5	NUM
ejpam-1965	204	11	for	for	ADP
ejpam-1965	204	12	all	all	DET
ejpam-1965	204	13	cases	case	NOUN
ejpam-1965	204	14	.	.	PUNCT
ejpam-1965	205	1	if	if	SCONJ
ejpam-1965	205	2	�	�	PROPN
ejpam-1965	205	3	2	2	NUM
ejpam-1965	205	4	p	p	NOUN
ejpam-1965	205	5	�	�	PROPN
ejpam-1965	205	6	4	4	NUM
ejpam-1965	205	7	=	=	SYM
ejpam-1965	205	8	1	1	NUM
ejpam-1965	205	9	or	or	CCONJ
ejpam-1965	205	10	�	�	PROPN
ejpam-1965	205	11	2	2	NUM
ejpam-1965	205	12	q	q	PROPN
ejpam-1965	205	13	�	�	PROPN
ejpam-1965	205	14	4	4	NUM
ejpam-1965	205	15	=	=	SYM
ejpam-1965	205	16	1	1	NUM
ejpam-1965	205	17	,	,	PUNCT
ejpam-1965	205	18	then	then	ADV
ejpam-1965	205	19	by	by	ADP
ejpam-1965	205	20	lemmas	lemmas	PROPN
ejpam-1965	205	21	2	2	NUM
ejpam-1965	205	22	,	,	PUNCT
ejpam-1965	205	23	3	3	NUM
ejpam-1965	205	24	s(αq	s(αq	VERB
ejpam-1965	205	25	)	)	PUNCT
ejpam-1965	205	26	∈	∈	PROPN
ejpam-1965	205	27	{	{	PUNCT
ejpam-1965	205	28	0,1	0,1	NOUN
ejpam-1965	205	29	}	}	PUNCT
ejpam-1965	205	30	,	,	PUNCT
ejpam-1965	205	31	s(αp	s(αp	ADJ
ejpam-1965	205	32	)	)	PUNCT
ejpam-1965	205	33	∈	∈	NOUN
ejpam-1965	205	34	{	{	PUNCT
ejpam-1965	205	35	0	0	NUM
ejpam-1965	205	36	,	,	PUNCT
ejpam-1965	205	37	1	1	NUM
ejpam-1965	205	38	}	}	PUNCT
ejpam-1965	205	39	[	[	X
ejpam-1965	205	40	9	9	NUM
ejpam-1965	205	41	]	]	PUNCT
ejpam-1965	205	42	.	.	PUNCT
ejpam-1965	206	1	we	we	PRON
ejpam-1965	206	2	can	can	AUX
ejpam-1965	206	3	change	change	VERB
ejpam-1965	206	4	α	α	PRON
ejpam-1965	206	5	and	and	CCONJ
ejpam-1965	206	6	without	without	ADP
ejpam-1965	206	7	loss	loss	NOUN
ejpam-1965	206	8	of	of	ADP
ejpam-1965	206	9	generality	generality	NOUN
ejpam-1965	206	10	assume	assume	VERB
ejpam-1965	206	11	that	that	SCONJ
ejpam-1965	206	12	s(αq	s(αq	VERB
ejpam-1965	206	13	)	)	PUNCT
ejpam-1965	206	14	=	=	SYM
ejpam-1965	206	15	s(αqg	s(αqg	PROPN
ejpam-1965	206	16	)	)	PUNCT
ejpam-1965	206	17	=	=	SYM
ejpam-1965	207	1	0	0	NUM
ejpam-1965	207	2	,	,	PUNCT
ejpam-1965	207	3	if	if	SCONJ
ejpam-1965	207	4	�	�	PROPN
ejpam-1965	207	5	2	2	NUM
ejpam-1965	207	6	p	p	NOUN
ejpam-1965	207	7	�	�	PROPN
ejpam-1965	207	8	4	4	NUM
ejpam-1965	207	9	=	=	SYM
ejpam-1965	207	10	1	1	NUM
ejpam-1965	207	11	and	and	CCONJ
ejpam-1965	207	12	s(αp	s(αp	ADJ
ejpam-1965	207	13	)	)	PUNCT
ejpam-1965	207	14	=	=	SYM
ejpam-1965	207	15	s(αpg	s(αpg	NOUN
ejpam-1965	207	16	)	)	PUNCT
ejpam-1965	207	17	=	=	SYM
ejpam-1965	208	1	0	0	NUM
ejpam-1965	208	2	,	,	PUNCT
ejpam-1965	208	3	if	if	SCONJ
ejpam-1965	208	4	�	�	PROPN
ejpam-1965	208	5	2	2	NUM
ejpam-1965	208	6	q	q	PROPN
ejpam-1965	208	7	�	�	PROPN
ejpam-1965	208	8	4	4	NUM
ejpam-1965	208	9	=	=	SYM
ejpam-1965	208	10	1	1	X
ejpam-1965	208	11	.	.	PUNCT
ejpam-1965	209	1	let	let	VERB
ejpam-1965	209	2	di(x	di(x	NUM
ejpam-1965	209	3	)	)	PUNCT
ejpam-1965	210	1	=	=	SYM
ejpam-1965	210	2	∏	∏	PROPN
ejpam-1965	210	3	i∈di	i∈di	PROPN
ejpam-1965	210	4	(	(	PUNCT
ejpam-1965	210	5	x−αi	x−αi	PROPN
ejpam-1965	210	6	)	)	PUNCT
ejpam-1965	210	7	,	,	PUNCT
ejpam-1965	210	8	pi(x	pi(x	NUM
ejpam-1965	210	9	)	)	PUNCT
ejpam-1965	210	10	=	=	SYM
ejpam-1965	210	11	∏	∏	NUM
ejpam-1965	210	12	i∈pi	i∈pi	NOUN
ejpam-1965	210	13	(	(	PUNCT
ejpam-1965	210	14	x−αi	x−αi	PROPN
ejpam-1965	210	15	)	)	PUNCT
ejpam-1965	210	16	and	and	CCONJ
ejpam-1965	210	17	q	q	ADJ
ejpam-1965	210	18	i(x	i(x	PROPN
ejpam-1965	210	19	)	)	PUNCT
ejpam-1965	210	20	=	=	SYM
ejpam-1965	210	21	∏	∏	PROPN
ejpam-1965	210	22	i∈q	i∈q	X
ejpam-1965	210	23	i	i	PRON
ejpam-1965	210	24	(	(	PUNCT
ejpam-1965	210	25	x−αi	x−αi	PROPN
ejpam-1965	210	26	)	)	PUNCT
ejpam-1965	210	27	;	;	PUNCT
ejpam-1965	210	28	i	i	NOUN
ejpam-1965	210	29	=	=	SYM
ejpam-1965	210	30	0,1	0,1	NUM
ejpam-1965	210	31	,	,	PUNCT
ejpam-1965	210	32	2,3	2,3	NUM
ejpam-1965	210	33	.	.	PUNCT
ejpam-1965	210	34	theorem	theorem	NOUN
ejpam-1965	210	35	2	2	NUM
ejpam-1965	210	36	.	.	PUNCT
ejpam-1965	211	1	let	let	VERB
ejpam-1965	211	2	the	the	DET
ejpam-1965	211	3	symbols	symbol	NOUN
ejpam-1965	211	4	be	be	AUX
ejpam-1965	211	5	the	the	DET
ejpam-1965	211	6	same	same	ADJ
ejpam-1965	211	7	as	as	ADP
ejpam-1965	211	8	before	before	ADV
ejpam-1965	211	9	.	.	PUNCT
ejpam-1965	212	1	(	(	PUNCT
ejpam-1965	212	2	i	i	NOUN
ejpam-1965	212	3	)	)	PUNCT
ejpam-1965	212	4	if	if	SCONJ
ejpam-1965	212	5	�	�	PROPN
ejpam-1965	212	6	p	p	X
ejpam-1965	212	7	q	q	X
ejpam-1965	212	8	�	�	PROPN
ejpam-1965	212	9	2	2	NUM
ejpam-1965	212	10	=	=	SYM
ejpam-1965	212	11	1	1	NUM
ejpam-1965	212	12	and	and	CCONJ
ejpam-1965	212	13	�	�	PROPN
ejpam-1965	212	14	2	2	NUM
ejpam-1965	212	15	p	p	NOUN
ejpam-1965	212	16	�	�	PROPN
ejpam-1965	212	17	4	4	NUM
ejpam-1965	212	18	=	=	SYM
ejpam-1965	212	19	1	1	NUM
ejpam-1965	212	20	,	,	PUNCT
ejpam-1965	212	21	then	then	ADV
ejpam-1965	212	22	l(s∞	l(s∞	PROPN
ejpam-1965	212	23	)	)	PUNCT
ejpam-1965	212	24	=	=	VERB
ejpam-1965	213	1	q(p+	q(p+	VERB
ejpam-1965	213	2	1)/2−	1)/2−	NUM
ejpam-1965	213	3	1	1	NUM
ejpam-1965	213	4	,	,	PUNCT
ejpam-1965	213	5	m(x	m(x	X
ejpam-1965	213	6	)	)	PUNCT
ejpam-1965	213	7	=	=	PUNCT
ejpam-1965	214	1	(	(	PUNCT
ejpam-1965	214	2	x	x	SYM
ejpam-1965	214	3	pq	pq	INTJ
ejpam-1965	214	4	−	−	PROPN
ejpam-1965	214	5	1)/	1)/	PROPN
ejpam-1965	214	6	�	�	PROPN
ejpam-1965	214	7	(	(	PUNCT
ejpam-1965	214	8	x	x	NOUN
ejpam-1965	214	9	−	−	PROPN
ejpam-1965	214	10	1)d0(x)d1(x)q0(x)q1(x	1)d0(x)d1(x)q0(x)q1(x	NUM
ejpam-1965	214	11	)	)	PUNCT
ejpam-1965	214	12	�	�	PROPN
ejpam-1965	214	13	.	.	PUNCT
ejpam-1965	215	1	(	(	PUNCT
ejpam-1965	215	2	ii	ii	NOUN
ejpam-1965	215	3	)	)	PUNCT
ejpam-1965	215	4	if	if	SCONJ
ejpam-1965	215	5	�	�	PROPN
ejpam-1965	215	6	p	p	X
ejpam-1965	215	7	q	q	PROPN
ejpam-1965	215	8	�	�	PROPN
ejpam-1965	215	9	2	2	NUM
ejpam-1965	215	10	6=	6=	SYM
ejpam-1965	215	11	1	1	NUM
ejpam-1965	215	12	and	and	CCONJ
ejpam-1965	215	13	�	�	PROPN
ejpam-1965	215	14	2	2	NUM
ejpam-1965	215	15	p	p	NOUN
ejpam-1965	215	16	�	�	PROPN
ejpam-1965	215	17	4	4	NUM
ejpam-1965	215	18	=	=	SYM
ejpam-1965	215	19	1	1	NUM
ejpam-1965	215	20	,	,	PUNCT
ejpam-1965	215	21	then	then	ADV
ejpam-1965	215	22	l(s∞	l(s∞	NOUN
ejpam-1965	215	23	)	)	PUNCT
ejpam-1965	215	24	=	=	SYM
ejpam-1965	215	25	pq−	pq−	PROPN
ejpam-1965	215	26	(	(	PUNCT
ejpam-1965	215	27	p+	p+	NOUN
ejpam-1965	215	28	1)/2	1)/2	NUM
ejpam-1965	215	29	,	,	PUNCT
ejpam-1965	215	30	m(x	m(x	PROPN
ejpam-1965	215	31	)	)	PUNCT
ejpam-1965	215	32	=	=	PUNCT
ejpam-1965	216	1	(	(	PUNCT
ejpam-1965	216	2	x	x	SYM
ejpam-1965	216	3	pq	pq	INTJ
ejpam-1965	216	4	−	−	PROPN
ejpam-1965	216	5	1)/	1)/	PROPN
ejpam-1965	216	6	�	�	PROPN
ejpam-1965	216	7	(	(	PUNCT
ejpam-1965	216	8	x	x	NOUN
ejpam-1965	216	9	−	−	PROPN
ejpam-1965	216	10	1)q0(x)q1(x	1)q0(x)q1(x	NOUN
ejpam-1965	216	11	)	)	PUNCT
ejpam-1965	216	12	�	�	PROPN
ejpam-1965	216	13	.	.	PUNCT
ejpam-1965	217	1	v.	v.	ADP
ejpam-1965	217	2	edemskiy	edemskiy	NOUN
ejpam-1965	217	3	and	and	CCONJ
ejpam-1965	217	4	o.	o.	INTJ
ejpam-1965	217	5	antonova	antonova	PROPN
ejpam-1965	217	6	/	/	SYM
ejpam-1965	217	7	eur	eur	PROPN
ejpam-1965	217	8	.	.	PUNCT
ejpam-1965	218	1	j.	j.	PROPN
ejpam-1965	218	2	pure	pure	PROPN
ejpam-1965	218	3	appl	appl	PROPN
ejpam-1965	218	4	.	.	PROPN
ejpam-1965	218	5	math	math	PROPN
ejpam-1965	218	6	,	,	PUNCT
ejpam-1965	218	7	7	7	NUM
ejpam-1965	218	8	(	(	PUNCT
ejpam-1965	218	9	2014	2014	NUM
ejpam-1965	218	10	)	)	PUNCT
ejpam-1965	218	11	,	,	PUNCT
ejpam-1965	218	12	256	256	NUM
ejpam-1965	218	13	-	-	SYM
ejpam-1965	218	14	266	266	NUM
ejpam-1965	218	15	262	262	NUM
ejpam-1965	218	16	(	(	PUNCT
ejpam-1965	218	17	iii	iii	NOUN
ejpam-1965	218	18	)	)	PUNCT
ejpam-1965	218	19	if	if	SCONJ
ejpam-1965	218	20	�	�	PROPN
ejpam-1965	218	21	2	2	NUM
ejpam-1965	218	22	q	q	PROPN
ejpam-1965	218	23	�	�	PROPN
ejpam-1965	218	24	4	4	NUM
ejpam-1965	218	25	=	=	SYM
ejpam-1965	218	26	1	1	NUM
ejpam-1965	218	27	,	,	PUNCT
ejpam-1965	218	28	then	then	ADV
ejpam-1965	218	29	l(s∞	l(s∞	NOUN
ejpam-1965	218	30	)	)	PUNCT
ejpam-1965	218	31	=	=	SYM
ejpam-1965	218	32	pq−	pq−	PROPN
ejpam-1965	218	33	(	(	PUNCT
ejpam-1965	218	34	q+	q+	X
ejpam-1965	218	35	1)/2	1)/2	NUM
ejpam-1965	218	36	,	,	PUNCT
ejpam-1965	218	37	m(x	m(x	PROPN
ejpam-1965	218	38	)	)	PUNCT
ejpam-1965	218	39	=	=	PUNCT
ejpam-1965	219	1	(	(	PUNCT
ejpam-1965	219	2	x	x	SYM
ejpam-1965	219	3	pq	pq	INTJ
ejpam-1965	219	4	−	−	NOUN
ejpam-1965	219	5	1	1	NUM
ejpam-1965	219	6	)	)	PUNCT
ejpam-1965	219	7	�	�	PROPN
ejpam-1965	219	8	(	(	PUNCT
ejpam-1965	219	9	x	x	NOUN
ejpam-1965	219	10	−	−	PROPN
ejpam-1965	219	11	1)p0(x)p1(x	1)p0(x)p1(x	NUM
ejpam-1965	219	12	)	)	PUNCT
ejpam-1965	219	13	�	�	PROPN
ejpam-1965	219	14	.	.	PUNCT
ejpam-1965	220	1	(	(	PUNCT
ejpam-1965	220	2	iv	iv	X
ejpam-1965	220	3	)	)	PUNCT
ejpam-1965	220	4	if	if	SCONJ
ejpam-1965	220	5	�	�	PROPN
ejpam-1965	220	6	2	2	NUM
ejpam-1965	220	7	p	p	NOUN
ejpam-1965	220	8	�	�	PROPN
ejpam-1965	220	9	4	4	NUM
ejpam-1965	220	10	6=	6=	SYM
ejpam-1965	220	11	1	1	NUM
ejpam-1965	220	12	and	and	CCONJ
ejpam-1965	220	13	�	�	PROPN
ejpam-1965	220	14	2	2	PROPN
ejpam-1965	220	15	q	q	PROPN
ejpam-1965	220	16	�	�	PROPN
ejpam-1965	220	17	4	4	NUM
ejpam-1965	220	18	6=	6=	NUM
ejpam-1965	220	19	1	1	NUM
ejpam-1965	220	20	,	,	PUNCT
ejpam-1965	220	21	then	then	ADV
ejpam-1965	220	22	l(s∞	l(s∞	NOUN
ejpam-1965	220	23	)	)	PUNCT
ejpam-1965	220	24	=	=	SYM
ejpam-1965	220	25	pq−	pq−	SYM
ejpam-1965	220	26	1	1	NUM
ejpam-1965	220	27	,	,	PUNCT
ejpam-1965	220	28	m(x	m(x	PROPN
ejpam-1965	220	29	)	)	PUNCT
ejpam-1965	220	30	=	=	PUNCT
ejpam-1965	221	1	(	(	PUNCT
ejpam-1965	221	2	x	x	SYM
ejpam-1965	221	3	pq	pq	INTJ
ejpam-1965	221	4	−	−	NOUN
ejpam-1965	221	5	1)/(x	1)/(x	NUM
ejpam-1965	221	6	−	−	PROPN
ejpam-1965	221	7	1	1	NUM
ejpam-1965	221	8	)	)	PUNCT
ejpam-1965	221	9	.	.	PUNCT
ejpam-1965	222	1	v.	v.	ADP
ejpam-1965	222	2	edemskiy	edemskiy	NOUN
ejpam-1965	222	3	and	and	CCONJ
ejpam-1965	222	4	o.	o.	INTJ
ejpam-1965	222	5	antonova	antonova	PROPN
ejpam-1965	222	6	/	/	SYM
ejpam-1965	222	7	eur	eur	PROPN
ejpam-1965	222	8	.	.	PUNCT
ejpam-1965	223	1	j.	j.	PROPN
ejpam-1965	223	2	pure	pure	PROPN
ejpam-1965	223	3	appl	appl	PROPN
ejpam-1965	223	4	.	.	PROPN
ejpam-1965	223	5	math	math	PROPN
ejpam-1965	223	6	,	,	PUNCT
ejpam-1965	223	7	7	7	NUM
ejpam-1965	223	8	(	(	PUNCT
ejpam-1965	223	9	2014	2014	NUM
ejpam-1965	223	10	)	)	PUNCT
ejpam-1965	223	11	,	,	PUNCT
ejpam-1965	223	12	256	256	NUM
ejpam-1965	223	13	-	-	SYM
ejpam-1965	223	14	266	266	NUM
ejpam-1965	223	15	263	263	NUM
ejpam-1965	223	16	proof	proof	NOUN
ejpam-1965	223	17	.	.	PUNCT
ejpam-1965	224	1	we	we	PRON
ejpam-1965	224	2	will	will	AUX
ejpam-1965	224	3	employ	employ	VERB
ejpam-1965	224	4	theorem	theorem	NOUN
ejpam-1965	224	5	2	2	NUM
ejpam-1965	224	6	to	to	PART
ejpam-1965	224	7	determine	determine	VERB
ejpam-1965	224	8	the	the	DET
ejpam-1965	224	9	values	value	NOUN
ejpam-1965	224	10	of	of	ADP
ejpam-1965	224	11	the	the	DET
ejpam-1965	224	12	matrix	matrix	NOUN
ejpam-1965	224	13	s.	s.	PROPN
ejpam-1965	224	14	(	(	PUNCT
ejpam-1965	224	15	i	i	NOUN
ejpam-1965	224	16	)	)	PUNCT
ejpam-1965	224	17	by	by	ADP
ejpam-1965	224	18	assumption	assumption	NOUN
ejpam-1965	224	19	gcd(p	gcd(p	PROPN
ejpam-1965	224	20	−	−	PROPN
ejpam-1965	224	21	1	1	NUM
ejpam-1965	224	22	,	,	PUNCT
ejpam-1965	224	23	q	q	NOUN
ejpam-1965	224	24	−	−	PROPN
ejpam-1965	224	25	1	1	NUM
ejpam-1965	224	26	)	)	PUNCT
ejpam-1965	224	27	=	=	SYM
ejpam-1965	224	28	4	4	NUM
ejpam-1965	224	29	,	,	PUNCT
ejpam-1965	224	30	consequently	consequently	ADV
ejpam-1965	224	31	�	�	PROPN
ejpam-1965	224	32	2	2	NUM
ejpam-1965	224	33	q	q	PROPN
ejpam-1965	224	34	�	�	PROPN
ejpam-1965	224	35	2	2	NUM
ejpam-1965	224	36	6=	6=	SYM
ejpam-1965	224	37	1	1	NUM
ejpam-1965	224	38	for	for	ADP
ejpam-1965	224	39	�	�	PROPN
ejpam-1965	224	40	2	2	NUM
ejpam-1965	224	41	p	p	NOUN
ejpam-1965	224	42	�	�	PROPN
ejpam-1965	224	43	4	4	NUM
ejpam-1965	224	44	=	=	SYM
ejpam-1965	224	45	1	1	NUM
ejpam-1965	225	1	[	[	X
ejpam-1965	225	2	12	12	NUM
ejpam-1965	225	3	]	]	PUNCT
ejpam-1965	225	4	.	.	PUNCT
ejpam-1965	226	1	in	in	ADP
ejpam-1965	226	2	this	this	DET
ejpam-1965	226	3	case	case	NOUN
ejpam-1965	226	4	by	by	ADP
ejpam-1965	226	5	lemma	lemma	PROPN
ejpam-1965	226	6	6	6	NUM
ejpam-1965	226	7	we	we	PRON
ejpam-1965	226	8	have	have	VERB
ejpam-1965	226	9	a4(β	a4(β	PROPN
ejpam-1965	226	10	)	)	PUNCT
ejpam-1965	226	11	=	=	SYM
ejpam-1965	226	12	(	(	PUNCT
ejpam-1965	226	13	0,0	0,0	NOUN
ejpam-1965	226	14	,	,	PUNCT
ejpam-1965	226	15	1,1	1,1	NUM
ejpam-1965	226	16	,	,	PUNCT
ejpam-1965	226	17	0	0	NUM
ejpam-1965	226	18	)	)	PUNCT
ejpam-1965	226	19	or	or	CCONJ
ejpam-1965	226	20	a4(β	a4(β	X
ejpam-1965	226	21	)	)	PUNCT
ejpam-1965	226	22	=	=	SYM
ejpam-1965	226	23	(	(	PUNCT
ejpam-1965	226	24	1,1	1,1	NUM
ejpam-1965	226	25	,	,	PUNCT
ejpam-1965	226	26	0,0	0,0	NOUN
ejpam-1965	226	27	,	,	PUNCT
ejpam-1965	226	28	0	0	NUM
ejpam-1965	226	29	)	)	PUNCT
ejpam-1965	226	30	and	and	CCONJ
ejpam-1965	226	31	b4(γ	b4(γ	NOUN
ejpam-1965	226	32	)	)	PUNCT
ejpam-1965	226	33	=	=	SYM
ejpam-1965	226	34	(	(	PUNCT
ejpam-1965	226	35	η	η	PROPN
ejpam-1965	226	36	,	,	PUNCT
ejpam-1965	226	37	η2,η4,η8	η2,η4,η8	PROPN
ejpam-1965	226	38	,	,	PUNCT
ejpam-1965	226	39	0	0	NUM
ejpam-1965	226	40	)	)	PUNCT
ejpam-1965	226	41	or	or	CCONJ
ejpam-1965	226	42	b4(γ	b4(γ	PROPN
ejpam-1965	226	43	)	)	PUNCT
ejpam-1965	226	44	=	=	SYM
ejpam-1965	226	45	(	(	PUNCT
ejpam-1965	226	46	η	η	PROPN
ejpam-1965	226	47	,	,	PUNCT
ejpam-1965	226	48	η8,η4,η2	η8,η4,η2	NOUN
ejpam-1965	226	49	,	,	PUNCT
ejpam-1965	226	50	0	0	NUM
ejpam-1965	226	51	)	)	PUNCT
ejpam-1965	226	52	.	.	PUNCT
ejpam-1965	227	1	now	now	ADV
ejpam-1965	227	2	,	,	PUNCT
ejpam-1965	227	3	if	if	SCONJ
ejpam-1965	227	4	�	�	PROPN
ejpam-1965	227	5	p	p	X
ejpam-1965	227	6	q	q	X
ejpam-1965	227	7	�	�	PROPN
ejpam-1965	227	8	2	2	NUM
ejpam-1965	227	9	=	=	SYM
ejpam-1965	227	10	1	1	NUM
ejpam-1965	227	11	,	,	PUNCT
ejpam-1965	227	12	then	then	ADV
ejpam-1965	227	13	ind(q)g	ind(q)g	ADV
ejpam-1965	227	14	p	p	X
ejpam-1965	227	15	≡	≡	PROPN
ejpam-1965	227	16	0(mod4	0(mod4	NUM
ejpam-1965	227	17	)	)	PUNCT
ejpam-1965	227	18	or	or	CCONJ
ejpam-1965	227	19	ind(q)g	ind(q)g	ADV
ejpam-1965	227	20	p	p	DET
ejpam-1965	227	21	≡	≡	PROPN
ejpam-1965	227	22	2(mod4	2(mod4	NUM
ejpam-1965	227	23	)	)	PUNCT
ejpam-1965	227	24	.	.	PUNCT
ejpam-1965	228	1	in	in	ADP
ejpam-1965	228	2	the	the	DET
ejpam-1965	228	3	first	first	ADJ
ejpam-1965	228	4	case	case	NOUN
ejpam-1965	228	5	bd	bd	PROPN
ejpam-1965	228	6	�	�	PROPN
ejpam-1965	228	7	γg−ind(q)g	γg−ind(q)g	VERB
ejpam-1965	228	8	p	p	PROPN
ejpam-1965	228	9	�	�	PROPN
ejpam-1965	228	10	+	+	NOUN
ejpam-1965	228	11	bd(γ	bd(γ	X
ejpam-1965	228	12	)	)	PUNCT
ejpam-1965	229	1	=	=	SYM
ejpam-1965	229	2	(	(	PUNCT
ejpam-1965	229	3	0,0	0,0	NOUN
ejpam-1965	229	4	,	,	PUNCT
ejpam-1965	229	5	0,0	0,0	NOUN
ejpam-1965	229	6	,	,	PUNCT
ejpam-1965	229	7	0,0	0,0	NOUN
ejpam-1965	229	8	)	)	PUNCT
ejpam-1965	229	9	and	and	CCONJ
ejpam-1965	229	10	in	in	ADP
ejpam-1965	229	11	the	the	DET
ejpam-1965	229	12	second	second	ADJ
ejpam-1965	229	13	case	case	NOUN
ejpam-1965	229	14	bd	bd	PROPN
ejpam-1965	229	15	�	�	PROPN
ejpam-1965	229	16	γg−ind(q)g	γg−ind(q)g	VERB
ejpam-1965	229	17	p	p	PROPN
ejpam-1965	229	18	�	�	PROPN
ejpam-1965	229	19	+	+	CCONJ
ejpam-1965	229	20	bd(γ	bd(γ	X
ejpam-1965	229	21	)	)	PUNCT
ejpam-1965	230	1	=	=	SYM
ejpam-1965	230	2	(	(	PUNCT
ejpam-1965	230	3	1	1	NUM
ejpam-1965	230	4	,	,	PUNCT
ejpam-1965	230	5	1,1	1,1	NUM
ejpam-1965	230	6	,	,	PUNCT
ejpam-1965	230	7	1,0	1,0	NUM
ejpam-1965	230	8	)	)	PUNCT
ejpam-1965	230	9	.	.	PUNCT
ejpam-1965	231	1	thus	thus	ADV
ejpam-1965	231	2	,	,	PUNCT
ejpam-1965	231	3	by	by	ADP
ejpam-1965	231	4	lemma	lemma	PROPN
ejpam-1965	231	5	5	5	NUM
ejpam-1965	231	6	we	we	PRON
ejpam-1965	231	7	can	can	AUX
ejpam-1965	231	8	deduce	deduce	VERB
ejpam-1965	231	9	that	that	SCONJ
ejpam-1965	231	10	the	the	DET
ejpam-1965	231	11	first	first	ADJ
ejpam-1965	231	12	two	two	NUM
ejpam-1965	231	13	rows	row	NOUN
ejpam-1965	231	14	of	of	ADP
ejpam-1965	231	15	the	the	DET
ejpam-1965	231	16	matrix	matrix	NOUN
ejpam-1965	231	17	s	s	VERB
ejpam-1965	231	18	consist	consist	NOUN
ejpam-1965	231	19	of	of	ADP
ejpam-1965	231	20	zeros	zero	NOUN
ejpam-1965	231	21	,	,	PUNCT
ejpam-1965	231	22	also	also	ADV
ejpam-1965	231	23	s44	s44	ADJ
ejpam-1965	231	24	=	=	SYM
ejpam-1965	231	25	0	0	NUM
ejpam-1965	231	26	,	,	PUNCT
ejpam-1965	231	27	and	and	CCONJ
ejpam-1965	231	28	all	all	DET
ejpam-1965	231	29	other	other	ADJ
ejpam-1965	231	30	entries	entry	NOUN
ejpam-1965	231	31	are	be	AUX
ejpam-1965	231	32	non	non	ADJ
ejpam-1965	231	33	-	-	ADJ
ejpam-1965	231	34	zero	zero	NUM
ejpam-1965	231	35	.	.	PUNCT
ejpam-1965	232	1	hence	hence	ADV
ejpam-1965	232	2	,	,	PUNCT
ejpam-1965	232	3	�	�	PROPN
ejpam-1965	232	4	�	�	PROPN
ejpam-1965	232	5	{	{	PUNCT
ejpam-1965	232	6	j	j	PROPN
ejpam-1965	232	7	�	�	PROPN
ejpam-1965	232	8	�	�	PROPN
ejpam-1965	232	9	s(α	s(α	PROPN
ejpam-1965	232	10	j	j	PROPN
ejpam-1965	232	11	)	)	PUNCT
ejpam-1965	232	12	=	=	SYM
ejpam-1965	232	13	0	0	NUM
ejpam-1965	232	14	,	,	PUNCT
ejpam-1965	232	15	j	j	X
ejpam-1965	232	16	=	=	SYM
ejpam-1965	232	17	0,1	0,1	NUM
ejpam-1965	232	18	,	,	PUNCT
ejpam-1965	232	19	.	.	PUNCT
ejpam-1965	232	20	.	.	PUNCT
ejpam-1965	233	1	.	.	PUNCT
ejpam-1965	234	1	,	,	PUNCT
ejpam-1965	234	2	n	n	CCONJ
ejpam-1965	234	3	−	−	PROPN
ejpam-1965	234	4	1	1	NUM
ejpam-1965	234	5	}	}	PUNCT
ejpam-1965	234	6	�	�	PROPN
ejpam-1965	234	7	�	�	PROPN
ejpam-1965	234	8	=	=	SYM
ejpam-1965	234	9	2	2	NUM
ejpam-1965	234	10	�	�	PROPN
ejpam-1965	234	11	�	�	PROPN
ejpam-1965	234	12	di	di	PROPN
ejpam-1965	234	13	�	�	PROPN
ejpam-1965	234	14	�	�	PROPN
ejpam-1965	234	15	+	+	CCONJ
ejpam-1965	234	16	2	2	NUM
ejpam-1965	234	17	�	�	PROPN
ejpam-1965	234	18	�	�	PROPN
ejpam-1965	234	19	q	q	PROPN
ejpam-1965	234	20	i	i	PROPN
ejpam-1965	234	21	�	�	PROPN
ejpam-1965	234	22	�	�	PROPN
ejpam-1965	234	23	+	+	NUM
ejpam-1965	234	24	1=	1=	NUM
ejpam-1965	234	25	q(p−	q(p−	X
ejpam-1965	234	26	1)/2	1)/2	NUM
ejpam-1965	234	27	+	+	SYM
ejpam-1965	234	28	1	1	NUM
ejpam-1965	234	29	and	and	CCONJ
ejpam-1965	234	30	by	by	ADP
ejpam-1965	234	31	(	(	PUNCT
ejpam-1965	234	32	3	3	NUM
ejpam-1965	234	33	)	)	PUNCT
ejpam-1965	234	34	l(s∞	l(s∞	NOUN
ejpam-1965	234	35	)	)	PUNCT
ejpam-1965	234	36	=	=	PUNCT
ejpam-1965	235	1	q(p+	q(p+	VERB
ejpam-1965	235	2	1)/2−	1)/2−	NUM
ejpam-1965	235	3	1	1	NUM
ejpam-1965	235	4	.	.	PUNCT
ejpam-1965	236	1	from	from	ADP
ejpam-1965	236	2	(	(	PUNCT
ejpam-1965	236	3	1	1	X
ejpam-1965	236	4	)	)	PUNCT
ejpam-1965	236	5	we	we	PRON
ejpam-1965	236	6	have	have	AUX
ejpam-1965	236	7	m(x	m(x	NOUN
ejpam-1965	236	8	)	)	PUNCT
ejpam-1965	236	9	=	=	SYM
ejpam-1965	237	1	(	(	PUNCT
ejpam-1965	237	2	x	x	SYM
ejpam-1965	237	3	pq	pq	INTJ
ejpam-1965	237	4	−	−	PROPN
ejpam-1965	237	5	1)/	1)/	PROPN
ejpam-1965	237	6	�	�	PROPN
ejpam-1965	237	7	(	(	PUNCT
ejpam-1965	237	8	x	x	NOUN
ejpam-1965	237	9	−	−	PROPN
ejpam-1965	237	10	1)d0(x)d1(x)q0(x)q1(x	1)d0(x)d1(x)q0(x)q1(x	NUM
ejpam-1965	237	11	)	)	PUNCT
ejpam-1965	237	12	�	�	PROPN
ejpam-1965	237	13	by	by	ADP
ejpam-1965	237	14	the	the	DET
ejpam-1965	237	15	choice	choice	NOUN
ejpam-1965	237	16	of	of	ADP
ejpam-1965	237	17	α	α	PRON
ejpam-1965	237	18	.	.	PUNCT
ejpam-1965	237	19	(	(	PUNCT
ejpam-1965	237	20	ii	ii	NOUN
ejpam-1965	237	21	)	)	PUNCT
ejpam-1965	237	22	in	in	ADP
ejpam-1965	237	23	this	this	DET
ejpam-1965	237	24	case	case	NOUN
ejpam-1965	237	25	the	the	DET
ejpam-1965	237	26	expressions	expression	NOUN
ejpam-1965	237	27	for	for	ADP
ejpam-1965	237	28	a4(β	a4(β	NOUN
ejpam-1965	237	29	)	)	PUNCT
ejpam-1965	237	30	and	and	CCONJ
ejpam-1965	237	31	b4(γ	b4(γ	PROPN
ejpam-1965	237	32	)	)	PUNCT
ejpam-1965	237	33	are	be	AUX
ejpam-1965	237	34	the	the	DET
ejpam-1965	237	35	same	same	ADJ
ejpam-1965	237	36	as	as	ADP
ejpam-1965	237	37	in	in	ADP
ejpam-1965	237	38	(	(	PUNCT
ejpam-1965	237	39	1	1	NUM
ejpam-1965	237	40	)	)	PUNCT
ejpam-1965	237	41	,	,	PUNCT
ejpam-1965	237	42	but	but	CCONJ
ejpam-1965	237	43	when	when	SCONJ
ejpam-1965	237	44	�	�	PROPN
ejpam-1965	237	45	p	p	PROPN
ejpam-1965	237	46	q	q	PROPN
ejpam-1965	237	47	�	�	PROPN
ejpam-1965	237	48	2	2	NUM
ejpam-1965	237	49	6=	6=	SYM
ejpam-1965	237	50	1	1	NUM
ejpam-1965	237	51	we	we	PRON
ejpam-1965	237	52	have	have	VERB
ejpam-1965	237	53	ind(q)g	ind(q)g	ADJ
ejpam-1965	237	54	p	p	PRON
ejpam-1965	237	55	≡	≡	PROPN
ejpam-1965	237	56	1(mod4	1(mod4	NUM
ejpam-1965	237	57	)	)	PUNCT
ejpam-1965	237	58	or	or	CCONJ
ejpam-1965	237	59	ind(q)g	ind(q)g	ADV
ejpam-1965	237	60	p	p	PRON
ejpam-1965	237	61	≡	≡	PROPN
ejpam-1965	237	62	3(mod4	3(mod4	NUM
ejpam-1965	237	63	)	)	PUNCT
ejpam-1965	237	64	.	.	PUNCT
ejpam-1965	238	1	hence	hence	ADV
ejpam-1965	238	2	bd	bd	PROPN
ejpam-1965	238	3	�	�	PROPN
ejpam-1965	238	4	γg−ind(q)g	γg−ind(q)g	ADV
ejpam-1965	238	5	p	p	PROPN
ejpam-1965	238	6	�	�	PROPN
ejpam-1965	238	7	+	+	CCONJ
ejpam-1965	238	8	bd(γ	bd(γ	X
ejpam-1965	238	9	)	)	PUNCT
ejpam-1965	239	1	=	=	SYM
ejpam-1965	239	2	(	(	PUNCT
ejpam-1965	239	3	b0	b0	NOUN
ejpam-1965	239	4	,	,	PUNCT
ejpam-1965	239	5	b1	b1	NOUN
ejpam-1965	239	6	,	,	PUNCT
ejpam-1965	239	7	b2	b2	NOUN
ejpam-1965	239	8	,	,	PUNCT
ejpam-1965	239	9	b3	b3	NOUN
ejpam-1965	239	10	,	,	PUNCT
ejpam-1965	239	11	0	0	NUM
ejpam-1965	239	12	)	)	PUNCT
ejpam-1965	239	13	and	and	CCONJ
ejpam-1965	239	14	b	b	X
ejpam-1965	239	15	j	j	PROPN
ejpam-1965	239	16	6=	6=	PROPN
ejpam-1965	239	17	0	0	NUM
ejpam-1965	239	18	,	,	PUNCT
ejpam-1965	239	19	b	b	PROPN
ejpam-1965	239	20	j	j	PROPN
ejpam-1965	239	21	6=	6=	ADP
ejpam-1965	239	22	1	1	NUM
ejpam-1965	239	23	for	for	ADP
ejpam-1965	239	24	j	j	NOUN
ejpam-1965	239	25	=	=	SYM
ejpam-1965	239	26	1,2	1,2	NUM
ejpam-1965	239	27	,	,	PUNCT
ejpam-1965	239	28	3,4	3,4	NUM
ejpam-1965	239	29	.	.	PUNCT
ejpam-1965	240	1	then	then	ADV
ejpam-1965	240	2	by	by	ADP
ejpam-1965	240	3	lemma	lemma	PROPN
ejpam-1965	240	4	4	4	NUM
ejpam-1965	240	5	we	we	PRON
ejpam-1965	240	6	have	have	VERB
ejpam-1965	240	7	s04	s04	NOUN
ejpam-1965	240	8	=	=	SYM
ejpam-1965	240	9	s14	s14	NOUN
ejpam-1965	240	10	=	=	SYM
ejpam-1965	240	11	s44	s44	NOUN
ejpam-1965	240	12	=	=	SYM
ejpam-1965	240	13	0	0	NUM
ejpam-1965	240	14	,	,	PUNCT
ejpam-1965	240	15	and	and	CCONJ
ejpam-1965	240	16	all	all	DET
ejpam-1965	240	17	other	other	ADJ
ejpam-1965	240	18	entries	entry	NOUN
ejpam-1965	240	19	of	of	ADP
ejpam-1965	240	20	s	s	NOUN
ejpam-1965	240	21	are	be	AUX
ejpam-1965	240	22	non	non	ADJ
ejpam-1965	240	23	-	-	ADJ
ejpam-1965	240	24	zero	zero	NUM
ejpam-1965	240	25	.	.	PUNCT
ejpam-1965	241	1	therefore	therefore	ADV
ejpam-1965	241	2	,	,	PUNCT
ejpam-1965	241	3	�	�	PROPN
ejpam-1965	241	4	�	�	PROPN
ejpam-1965	241	5	{	{	PUNCT
ejpam-1965	241	6	j	j	PROPN
ejpam-1965	241	7	�	�	PROPN
ejpam-1965	241	8	�	�	PROPN
ejpam-1965	241	9	s(α	s(α	PROPN
ejpam-1965	241	10	j	j	PROPN
ejpam-1965	241	11	)	)	PUNCT
ejpam-1965	241	12	=	=	SYM
ejpam-1965	241	13	0	0	NUM
ejpam-1965	241	14	,	,	PUNCT
ejpam-1965	241	15	j	j	X
ejpam-1965	241	16	=	=	SYM
ejpam-1965	241	17	0,1	0,1	NUM
ejpam-1965	241	18	,	,	PUNCT
ejpam-1965	241	19	.	.	PUNCT
ejpam-1965	241	20	.	.	PUNCT
ejpam-1965	241	21	.	.	PUNCT
ejpam-1965	242	1	,	,	PUNCT
ejpam-1965	242	2	n	n	CCONJ
ejpam-1965	242	3	−	−	PROPN
ejpam-1965	242	4	1	1	NUM
ejpam-1965	242	5	}	}	PUNCT
ejpam-1965	242	6	�	�	PROPN
ejpam-1965	242	7	�	�	PROPN
ejpam-1965	242	8	=	=	SYM
ejpam-1965	242	9	2	2	NUM
ejpam-1965	242	10	�	�	PROPN
ejpam-1965	242	11	�	�	PROPN
ejpam-1965	242	12	q	q	PROPN
ejpam-1965	242	13	i	i	PROPN
ejpam-1965	242	14	�	�	PROPN
ejpam-1965	242	15	�	�	PROPN
ejpam-1965	242	16	+1=	+1=	PROPN
ejpam-1965	242	17	(	(	PUNCT
ejpam-1965	242	18	p+1)/2	p+1)/2	NOUN
ejpam-1965	242	19	.	.	PUNCT
ejpam-1965	243	1	from	from	ADP
ejpam-1965	243	2	(	(	PUNCT
ejpam-1965	243	3	1	1	NUM
ejpam-1965	243	4	)	)	PUNCT
ejpam-1965	243	5	and	and	CCONJ
ejpam-1965	243	6	(	(	PUNCT
ejpam-1965	243	7	3	3	NUM
ejpam-1965	243	8	)	)	PUNCT
ejpam-1965	243	9	,	,	PUNCT
ejpam-1965	243	10	it	it	PRON
ejpam-1965	243	11	follows	follow	VERB
ejpam-1965	243	12	that	that	SCONJ
ejpam-1965	243	13	l(s∞	l(s∞	NOUN
ejpam-1965	243	14	)	)	PUNCT
ejpam-1965	243	15	=	=	SYM
ejpam-1965	243	16	pq−	pq−	PROPN
ejpam-1965	243	17	(	(	PUNCT
ejpam-1965	243	18	p+	p+	VERB
ejpam-1965	243	19	1)/2	1)/2	NUM
ejpam-1965	243	20	and	and	CCONJ
ejpam-1965	243	21	m(x	m(x	NOUN
ejpam-1965	243	22	)	)	PUNCT
ejpam-1965	244	1	=	=	PRON
ejpam-1965	244	2	(	(	PUNCT
ejpam-1965	244	3	x	x	SYM
ejpam-1965	244	4	pq	pq	INTJ
ejpam-1965	244	5	−	−	PROPN
ejpam-1965	244	6	1)/	1)/	PROPN
ejpam-1965	244	7	�	�	PROPN
ejpam-1965	244	8	(	(	PUNCT
ejpam-1965	244	9	x	x	NOUN
ejpam-1965	244	10	−	−	PROPN
ejpam-1965	244	11	1)q0(x)q1(x	1)q0(x)q1(x	NOUN
ejpam-1965	244	12	)	)	PUNCT
ejpam-1965	244	13	�	�	PROPN
ejpam-1965	244	14	.	.	PUNCT
ejpam-1965	245	1	statements	statement	NOUN
ejpam-1965	245	2	of	of	ADP
ejpam-1965	245	3	(	(	PUNCT
ejpam-1965	245	4	iii	iii	NOUN
ejpam-1965	245	5	)	)	PUNCT
ejpam-1965	245	6	and	and	CCONJ
ejpam-1965	245	7	(	(	PUNCT
ejpam-1965	245	8	iv	iv	X
ejpam-1965	245	9	)	)	PUNCT
ejpam-1965	245	10	can	can	AUX
ejpam-1965	245	11	be	be	AUX
ejpam-1965	245	12	proved	prove	VERB
ejpam-1965	245	13	in	in	ADP
ejpam-1965	245	14	the	the	DET
ejpam-1965	245	15	same	same	ADJ
ejpam-1965	245	16	way	way	NOUN
ejpam-1965	245	17	.	.	PUNCT
ejpam-1965	246	1	from	from	ADP
ejpam-1965	246	2	theorem	theorem	NOUN
ejpam-1965	246	3	2	2	NUM
ejpam-1965	246	4	we	we	PRON
ejpam-1965	246	5	can	can	AUX
ejpam-1965	246	6	obtain	obtain	VERB
ejpam-1965	246	7	that	that	SCONJ
ejpam-1965	246	8	if	if	SCONJ
ejpam-1965	246	9	�	�	PROPN
ejpam-1965	246	10	2	2	NUM
ejpam-1965	246	11	p	p	NOUN
ejpam-1965	246	12	�	�	PROPN
ejpam-1965	246	13	4	4	NUM
ejpam-1965	246	14	=	=	SYM
ejpam-1965	246	15	1	1	NUM
ejpam-1965	246	16	,	,	PUNCT
ejpam-1965	246	17	then	then	ADV
ejpam-1965	246	18	the	the	DET
ejpam-1965	246	19	linear	linear	ADJ
ejpam-1965	246	20	complexity	complexity	NOUN
ejpam-1965	246	21	of	of	ADP
ejpam-1965	246	22	d	d	PROPN
ejpam-1965	246	23	-	-	PUNCT
ejpam-1965	246	24	gcs4	gcs4	PROPN
ejpam-1965	246	25	depends	depend	VERB
ejpam-1965	246	26	on	on	ADP
ejpam-1965	246	27	value	value	NOUN
ejpam-1965	246	28	�	�	PROPN
ejpam-1965	246	29	p	p	NOUN
ejpam-1965	246	30	q	q	PROPN
ejpam-1965	246	31	�	�	PROPN
ejpam-1965	246	32	2	2	NUM
ejpam-1965	246	33	.	.	PUNCT
ejpam-1965	247	1	for	for	ADP
ejpam-1965	247	2	example	example	NOUN
ejpam-1965	247	3	,	,	PUNCT
ejpam-1965	247	4	if	if	SCONJ
ejpam-1965	247	5	p	p	X
ejpam-1965	247	6	=	=	NOUN
ejpam-1965	247	7	73	73	NUM
ejpam-1965	247	8	,	,	PUNCT
ejpam-1965	247	9	q	q	NOUN
ejpam-1965	247	10	=	=	SYM
ejpam-1965	247	11	5	5	NUM
ejpam-1965	247	12	or	or	CCONJ
ejpam-1965	247	13	p	p	NOUN
ejpam-1965	247	14	=	=	ADJ
ejpam-1965	247	15	73	73	NUM
ejpam-1965	247	16	,	,	PUNCT
ejpam-1965	247	17	q	q	NOUN
ejpam-1965	248	1	=	=	SYM
ejpam-1965	248	2	101	101	NUM
ejpam-1965	248	3	,	,	PUNCT
ejpam-1965	248	4	then	then	ADV
ejpam-1965	248	5	�	�	VERB
ejpam-1965	248	6	73	73	NUM
ejpam-1965	248	7	5	5	NUM
ejpam-1965	248	8	�	�	PROPN
ejpam-1965	248	9	2	2	NUM
ejpam-1965	248	10	6=	6=	SYM
ejpam-1965	248	11	1	1	NUM
ejpam-1965	248	12	and	and	CCONJ
ejpam-1965	248	13	�	�	PROPN
ejpam-1965	248	14	73	73	NUM
ejpam-1965	248	15	101	101	NUM
ejpam-1965	248	16	�	�	PROPN
ejpam-1965	248	17	2	2	NUM
ejpam-1965	248	18	6=	6=	NUM
ejpam-1965	248	19	1	1	NUM
ejpam-1965	248	20	,	,	PUNCT
ejpam-1965	248	21	hence	hence	ADV
ejpam-1965	248	22	l(s∞	l(s∞	NOUN
ejpam-1965	248	23	)	)	PUNCT
ejpam-1965	248	24	=	=	PUNCT
ejpam-1965	249	1	pq	pq	NOUN
ejpam-1965	249	2	−	−	PROPN
ejpam-1965	250	1	(	(	PUNCT
ejpam-1965	250	2	p	p	X
ejpam-1965	250	3	+	+	PROPN
ejpam-1965	250	4	1)/2	1)/2	NUM
ejpam-1965	250	5	=	=	SYM
ejpam-1965	250	6	328	328	NUM
ejpam-1965	250	7	or	or	CCONJ
ejpam-1965	250	8	l(s∞	l(s∞	NOUN
ejpam-1965	250	9	)	)	PUNCT
ejpam-1965	250	10	=	=	SYM
ejpam-1965	250	11	7336	7336	NUM
ejpam-1965	250	12	,	,	PUNCT
ejpam-1965	250	13	respectively	respectively	ADV
ejpam-1965	250	14	.	.	PUNCT
ejpam-1965	251	1	yet	yet	ADV
ejpam-1965	251	2	,	,	PUNCT
ejpam-1965	251	3	if	if	SCONJ
ejpam-1965	251	4	p	p	X
ejpam-1965	251	5	=	=	NOUN
ejpam-1965	251	6	89	89	NUM
ejpam-1965	251	7	,	,	PUNCT
ejpam-1965	251	8	q	q	NOUN
ejpam-1965	252	1	=	=	SYM
ejpam-1965	252	2	5	5	NUM
ejpam-1965	252	3	or	or	CCONJ
ejpam-1965	252	4	p	p	NOUN
ejpam-1965	252	5	=	=	ADJ
ejpam-1965	252	6	73	73	NUM
ejpam-1965	252	7	,	,	PUNCT
ejpam-1965	252	8	q	q	NOUN
ejpam-1965	253	1	=	=	SYM
ejpam-1965	253	2	173	173	NUM
ejpam-1965	253	3	,	,	PUNCT
ejpam-1965	253	4	then	then	ADV
ejpam-1965	253	5	�	�	PROPN
ejpam-1965	253	6	89	89	NUM
ejpam-1965	253	7	5	5	NUM
ejpam-1965	253	8	�	�	PROPN
ejpam-1965	253	9	2	2	NUM
ejpam-1965	253	10	=	=	SYM
ejpam-1965	253	11	1	1	NUM
ejpam-1965	253	12	and	and	CCONJ
ejpam-1965	253	13	�	�	PROPN
ejpam-1965	253	14	73	73	NUM
ejpam-1965	253	15	173	173	NUM
ejpam-1965	253	16	�	�	NOUN
ejpam-1965	253	17	2	2	NUM
ejpam-1965	253	18	=	=	SYM
ejpam-1965	253	19	1	1	NUM
ejpam-1965	253	20	hence	hence	ADV
ejpam-1965	253	21	l(s∞	l(s∞	NOUN
ejpam-1965	253	22	)	)	PUNCT
ejpam-1965	253	23	=	=	PUNCT
ejpam-1965	254	1	q(p	q(p	PROPN
ejpam-1965	255	1	+	+	NUM
ejpam-1965	256	1	1)/2	1)/2	NUM
ejpam-1965	256	2	−	−	NOUN
ejpam-1965	256	3	1	1	NUM
ejpam-1965	256	4	=	=	SYM
ejpam-1965	256	5	224	224	NUM
ejpam-1965	256	6	or	or	CCONJ
ejpam-1965	256	7	l(s∞	l(s∞	PROPN
ejpam-1965	256	8	)	)	PUNCT
ejpam-1965	256	9	=	=	SYM
ejpam-1965	256	10	6400	6400	NUM
ejpam-1965	256	11	respectively	respectively	ADV
ejpam-1965	256	12	.	.	PUNCT
ejpam-1965	257	1	these	these	DET
ejpam-1965	257	2	facts	fact	NOUN
ejpam-1965	257	3	can	can	AUX
ejpam-1965	257	4	be	be	AUX
ejpam-1965	257	5	easily	easily	ADV
ejpam-1965	257	6	obtained	obtain	VERB
ejpam-1965	257	7	by	by	ADP
ejpam-1965	257	8	means	mean	NOUN
ejpam-1965	257	9	of	of	ADP
ejpam-1965	257	10	calculation	calculation	NOUN
ejpam-1965	257	11	of	of	ADP
ejpam-1965	257	12	the	the	DET
ejpam-1965	257	13	linear	linear	ADJ
ejpam-1965	257	14	complexity	complexity	NOUN
ejpam-1965	257	15	of	of	ADP
ejpam-1965	257	16	d	d	PROPN
ejpam-1965	257	17	-	-	PUNCT
ejpam-1965	257	18	gcs4	gcs4	NOUN
ejpam-1965	257	19	using	using	NOUN
ejpam-1965	257	20	,	,	PUNCT
ejpam-1965	257	21	for	for	ADP
ejpam-1965	257	22	example	example	NOUN
ejpam-1965	257	23	,	,	PUNCT
ejpam-1965	257	24	the	the	DET
ejpam-1965	257	25	berlekamp	berlekamp	NOUN
ejpam-1965	257	26	-	-	PUNCT
ejpam-1965	257	27	massey	massey	PROPN
ejpam-1965	257	28	algorithm	algorithm	NOUN
ejpam-1965	258	1	[	[	X
ejpam-1965	258	2	14	14	NUM
ejpam-1965	258	3	]	]	PUNCT
ejpam-1965	258	4	.	.	PUNCT
ejpam-1965	259	1	thus	thus	ADV
ejpam-1965	259	2	,	,	PUNCT
ejpam-1965	259	3	theorem	theorem	VERB
ejpam-1965	259	4	2	2	NUM
ejpam-1965	259	5	from	from	ADP
ejpam-1965	259	6	[	[	X
ejpam-1965	259	7	19	19	NUM
ejpam-1965	259	8	]	]	PUNCT
ejpam-1965	259	9	is	be	AUX
ejpam-1965	259	10	not	not	PART
ejpam-1965	259	11	true	true	ADJ
ejpam-1965	259	12	.	.	PUNCT
ejpam-1965	260	1	4	4	X
ejpam-1965	260	2	.	.	X
ejpam-1965	260	3	the	the	DET
ejpam-1965	260	4	linear	linear	ADJ
ejpam-1965	260	5	complexity	complexity	NOUN
ejpam-1965	260	6	of	of	ADP
ejpam-1965	260	7	d	d	PROPN
ejpam-1965	260	8	-	-	PUNCT
ejpam-1965	260	9	gcs6	gcs6	NOUN
ejpam-1965	260	10	let	let	VERB
ejpam-1965	260	11	d	d	NOUN
ejpam-1965	260	12	=	=	SYM
ejpam-1965	260	13	6	6	NUM
ejpam-1965	260	14	,	,	PUNCT
ejpam-1965	260	15	the	the	DET
ejpam-1965	260	16	values	value	NOUN
ejpam-1965	260	17	of	of	ADP
ejpam-1965	260	18	the	the	DET
ejpam-1965	260	19	polynomial	polynomial	ADJ
ejpam-1965	260	20	s6(β	s6(β	PROPN
ejpam-1965	260	21	)	)	PUNCT
ejpam-1965	260	22	�	�	PROPN
ejpam-1965	260	23	t6(γ	t6(γ	PROPN
ejpam-1965	260	24	)	)	PUNCT
ejpam-1965	260	25	�	�	NOUN
ejpam-1965	260	26	are	be	AUX
ejpam-1965	260	27	computed	compute	VERB
ejpam-1965	260	28	in	in	ADP
ejpam-1965	260	29	[	[	X
ejpam-1965	260	30	9	9	NUM
ejpam-1965	260	31	]	]	PUNCT
ejpam-1965	260	32	.	.	PUNCT
ejpam-1965	261	1	similar	similar	ADJ
ejpam-1965	261	2	to	to	ADP
ejpam-1965	261	3	the	the	DET
ejpam-1965	261	4	proof	proof	NOUN
ejpam-1965	261	5	of	of	ADP
ejpam-1965	261	6	theorem	theorem	NOUN
ejpam-1965	261	7	2	2	NUM
ejpam-1965	261	8	,	,	PUNCT
ejpam-1965	261	9	we	we	PRON
ejpam-1965	261	10	can	can	AUX
ejpam-1965	261	11	prove	prove	VERB
ejpam-1965	261	12	the	the	DET
ejpam-1965	261	13	following	follow	VERB
ejpam-1965	261	14	theorem	theorem	ADJ
ejpam-1965	261	15	3	3	NUM
ejpam-1965	261	16	.	.	PUNCT
ejpam-1965	261	17	references	reference	NOUN
ejpam-1965	261	18	264	264	NUM
ejpam-1965	261	19	theorem	theorem	NOUN
ejpam-1965	261	20	3	3	NUM
ejpam-1965	261	21	.	.	PUNCT
ejpam-1965	262	1	let	let	VERB
ejpam-1965	262	2	the	the	DET
ejpam-1965	262	3	symbols	symbol	NOUN
ejpam-1965	262	4	be	be	AUX
ejpam-1965	262	5	the	the	DET
ejpam-1965	262	6	same	same	ADJ
ejpam-1965	262	7	as	as	ADP
ejpam-1965	262	8	before	before	ADV
ejpam-1965	262	9	.	.	PUNCT
ejpam-1965	263	1	(	(	PUNCT
ejpam-1965	263	2	i	i	NOUN
ejpam-1965	263	3	)	)	PUNCT
ejpam-1965	263	4	if	if	SCONJ
ejpam-1965	263	5	�	�	PROPN
ejpam-1965	263	6	2	2	NUM
ejpam-1965	263	7	p	p	NOUN
ejpam-1965	263	8	�	�	PROPN
ejpam-1965	263	9	6	6	NUM
ejpam-1965	263	10	=	=	SYM
ejpam-1965	263	11	1	1	NUM
ejpam-1965	263	12	and	and	CCONJ
ejpam-1965	263	13	�	�	PROPN
ejpam-1965	263	14	2	2	NUM
ejpam-1965	263	15	q	q	PROPN
ejpam-1965	263	16	�	�	PROPN
ejpam-1965	263	17	6	6	NUM
ejpam-1965	263	18	=	=	SYM
ejpam-1965	263	19	1	1	NUM
ejpam-1965	263	20	,	,	PUNCT
ejpam-1965	263	21	then	then	ADV
ejpam-1965	263	22	l(s∞	l(s∞	PROPN
ejpam-1965	263	23	)	)	PUNCT
ejpam-1965	263	24	=	=	PUNCT
ejpam-1965	263	25	(	(	PUNCT
ejpam-1965	263	26	pq+	pq+	NOUN
ejpam-1965	263	27	1)/2−∆	1)/2−∆	NUM
ejpam-1965	263	28	;	;	PUNCT
ejpam-1965	263	29	(	(	PUNCT
ejpam-1965	263	30	ii	ii	NOUN
ejpam-1965	263	31	)	)	PUNCT
ejpam-1965	263	32	if	if	SCONJ
ejpam-1965	263	33	�	�	PROPN
ejpam-1965	263	34	2	2	NUM
ejpam-1965	263	35	p	p	NOUN
ejpam-1965	263	36	�	�	PROPN
ejpam-1965	263	37	6	6	NUM
ejpam-1965	263	38	=	=	SYM
ejpam-1965	263	39	1	1	NUM
ejpam-1965	263	40	;	;	PUNCT
ejpam-1965	263	41	�	�	PROPN
ejpam-1965	263	42	2	2	NUM
ejpam-1965	263	43	q	q	PROPN
ejpam-1965	263	44	�	�	PROPN
ejpam-1965	263	45	6	6	NUM
ejpam-1965	263	46	6=	6=	SYM
ejpam-1965	263	47	1	1	NUM
ejpam-1965	263	48	and	and	CCONJ
ejpam-1965	263	49	�	�	PROPN
ejpam-1965	263	50	p	p	NOUN
ejpam-1965	263	51	q	q	PROPN
ejpam-1965	263	52	�	�	PROPN
ejpam-1965	263	53	3	3	NUM
ejpam-1965	263	54	=	=	SYM
ejpam-1965	263	55	1	1	NUM
ejpam-1965	263	56	or	or	CCONJ
ejpam-1965	263	57	�	�	PROPN
ejpam-1965	263	58	2	2	NUM
ejpam-1965	263	59	p	p	NOUN
ejpam-1965	263	60	�	�	PROPN
ejpam-1965	263	61	6	6	NUM
ejpam-1965	263	62	=	=	SYM
ejpam-1965	263	63	1	1	NUM
ejpam-1965	263	64	;	;	PUNCT
ejpam-1965	263	65	�	�	PROPN
ejpam-1965	263	66	2	2	NUM
ejpam-1965	263	67	q	q	PROPN
ejpam-1965	263	68	�	�	PROPN
ejpam-1965	263	69	3	3	NUM
ejpam-1965	263	70	=	=	SYM
ejpam-1965	263	71	1	1	NUM
ejpam-1965	263	72	and	and	CCONJ
ejpam-1965	263	73	�	�	PROPN
ejpam-1965	263	74	2	2	NUM
ejpam-1965	263	75	q	q	PROPN
ejpam-1965	263	76	�	�	PROPN
ejpam-1965	263	77	2	2	NUM
ejpam-1965	263	78	6=	6=	SYM
ejpam-1965	263	79	1	1	NUM
ejpam-1965	263	80	;	;	PUNCT
ejpam-1965	263	81	�	�	PROPN
ejpam-1965	263	82	p	p	NOUN
ejpam-1965	263	83	q	q	PROPN
ejpam-1965	263	84	�	�	PROPN
ejpam-1965	263	85	3	3	NUM
ejpam-1965	263	86	6=	6=	NUM
ejpam-1965	263	87	1	1	NUM
ejpam-1965	263	88	,	,	PUNCT
ejpam-1965	263	89	then	then	ADV
ejpam-1965	263	90	l(s∞	l(s∞	PROPN
ejpam-1965	263	91	)	)	PUNCT
ejpam-1965	263	92	=	=	PUNCT
ejpam-1965	263	93	(	(	PUNCT
ejpam-1965	263	94	p+	p+	NOUN
ejpam-1965	263	95	1)q/2−∆	1)q/2−∆	NOUN
ejpam-1965	263	96	,	,	PUNCT
ejpam-1965	263	97	where	where	SCONJ
ejpam-1965	263	98	∆=	∆=	ADJ
ejpam-1965	263	99	¨	¨	NOUN
ejpam-1965	263	100	1	1	NUM
ejpam-1965	263	101	,	,	PUNCT
ejpam-1965	263	102	if	if	SCONJ
ejpam-1965	263	103	s(1	s(1	PROPN
ejpam-1965	263	104	)	)	PUNCT
ejpam-1965	263	105	=	=	SYM
ejpam-1965	263	106	0	0	NUM
ejpam-1965	263	107	,	,	PUNCT
ejpam-1965	263	108	0	0	NUM
ejpam-1965	263	109	,	,	PUNCT
ejpam-1965	263	110	otherwise	otherwise	ADV
ejpam-1965	263	111	;	;	PUNCT
ejpam-1965	263	112	(	(	PUNCT
ejpam-1965	263	113	iii	iii	X
ejpam-1965	263	114	)	)	PUNCT
ejpam-1965	263	115	if	if	SCONJ
ejpam-1965	263	116	�	�	PROPN
ejpam-1965	263	117	2	2	NUM
ejpam-1965	263	118	p	p	NOUN
ejpam-1965	263	119	�	�	PROPN
ejpam-1965	263	120	6	6	NUM
ejpam-1965	263	121	=	=	SYM
ejpam-1965	263	122	1	1	NUM
ejpam-1965	263	123	;	;	PUNCT
ejpam-1965	263	124	�	�	PROPN
ejpam-1965	263	125	2	2	NUM
ejpam-1965	263	126	q	q	PROPN
ejpam-1965	263	127	�	�	PROPN
ejpam-1965	263	128	3	3	NUM
ejpam-1965	263	129	6=	6=	SYM
ejpam-1965	263	130	1	1	NUM
ejpam-1965	263	131	and	and	CCONJ
ejpam-1965	263	132	�	�	PROPN
ejpam-1965	263	133	p	p	PROPN
ejpam-1965	263	134	q	q	PROPN
ejpam-1965	263	135	�	�	PROPN
ejpam-1965	263	136	3	3	NUM
ejpam-1965	263	137	6=	6=	SYM
ejpam-1965	263	138	1	1	NUM
ejpam-1965	263	139	then	then	ADV
ejpam-1965	263	140	l(s∞	l(s∞	NOUN
ejpam-1965	263	141	)	)	PUNCT
ejpam-1965	263	142	=	=	SYM
ejpam-1965	263	143	pq−	pq−	PROPN
ejpam-1965	263	144	(	(	PUNCT
ejpam-1965	263	145	p−	p−	NOUN
ejpam-1965	263	146	1)/2−∆	1)/2−∆	NUM
ejpam-1965	263	147	;	;	PUNCT
ejpam-1965	263	148	(	(	PUNCT
ejpam-1965	263	149	iv	iv	X
ejpam-1965	263	150	)	)	PUNCT
ejpam-1965	263	151	if	if	SCONJ
ejpam-1965	263	152	�	�	PROPN
ejpam-1965	263	153	2	2	NUM
ejpam-1965	263	154	q	q	PROPN
ejpam-1965	263	155	�	�	PROPN
ejpam-1965	263	156	6	6	NUM
ejpam-1965	263	157	=	=	SYM
ejpam-1965	263	158	1	1	NUM
ejpam-1965	263	159	and	and	CCONJ
ejpam-1965	263	160	�	�	PROPN
ejpam-1965	263	161	2	2	NUM
ejpam-1965	263	162	p	p	PROPN
ejpam-1965	263	163	�	�	PROPN
ejpam-1965	263	164	6	6	NUM
ejpam-1965	263	165	6=	6=	SYM
ejpam-1965	263	166	1	1	NUM
ejpam-1965	263	167	then	then	ADV
ejpam-1965	263	168	l(s∞	l(s∞	NOUN
ejpam-1965	263	169	)	)	PUNCT
ejpam-1965	263	170	=	=	SYM
ejpam-1965	263	171	pq−	pq−	PROPN
ejpam-1965	263	172	(	(	PUNCT
ejpam-1965	263	173	q−	q−	PROPN
ejpam-1965	263	174	1)/2−∆	1)/2−∆	NUM
ejpam-1965	263	175	;	;	PUNCT
ejpam-1965	263	176	(	(	PUNCT
ejpam-1965	263	177	v	v	NOUN
ejpam-1965	263	178	)	)	PUNCT
ejpam-1965	263	179	if	if	SCONJ
ejpam-1965	263	180	�	�	PROPN
ejpam-1965	263	181	2	2	NUM
ejpam-1965	263	182	p	p	NOUN
ejpam-1965	263	183	�	�	PROPN
ejpam-1965	263	184	2	2	NUM
ejpam-1965	263	185	=	=	SYM
ejpam-1965	263	186	1	1	NUM
ejpam-1965	263	187	;	;	PUNCT
ejpam-1965	263	188	�	�	PROPN
ejpam-1965	263	189	2	2	NUM
ejpam-1965	263	190	p	p	PROPN
ejpam-1965	263	191	�	�	PROPN
ejpam-1965	263	192	3	3	NUM
ejpam-1965	263	193	6=	6=	PROPN
ejpam-1965	263	194	1	1	NUM
ejpam-1965	263	195	;	;	PUNCT
ejpam-1965	263	196	�	�	PROPN
ejpam-1965	263	197	2	2	NUM
ejpam-1965	263	198	q	q	PROPN
ejpam-1965	263	199	�	�	PROPN
ejpam-1965	263	200	3	3	NUM
ejpam-1965	263	201	6=	6=	SYM
ejpam-1965	263	202	1	1	NUM
ejpam-1965	263	203	and	and	CCONJ
ejpam-1965	263	204	�	�	PROPN
ejpam-1965	263	205	p	p	PROPN
ejpam-1965	263	206	q	q	PROPN
ejpam-1965	263	207	�	�	PROPN
ejpam-1965	263	208	3	3	NUM
ejpam-1965	263	209	6=	6=	NUM
ejpam-1965	263	210	1	1	NUM
ejpam-1965	263	211	,	,	PUNCT
ejpam-1965	263	212	then	then	ADV
ejpam-1965	263	213	l(s∞	l(s∞	NOUN
ejpam-1965	263	214	)	)	PUNCT
ejpam-1965	263	215	=	=	SYM
ejpam-1965	263	216	pq−	pq−	PROPN
ejpam-1965	263	217	(	(	PUNCT
ejpam-1965	263	218	p−	p−	NOUN
ejpam-1965	263	219	1)(q−	1)(q−	NUM
ejpam-1965	263	220	1)/6−∆	1)/6−∆	NUM
ejpam-1965	263	221	;	;	PUNCT
ejpam-1965	263	222	(	(	PUNCT
ejpam-1965	263	223	vi	vi	X
ejpam-1965	263	224	)	)	PUNCT
ejpam-1965	263	225	if	if	SCONJ
ejpam-1965	263	226	conditions	condition	NOUN
ejpam-1965	263	227	(	(	PUNCT
ejpam-1965	263	228	i)-(v	i)-(v	PROPN
ejpam-1965	263	229	)	)	PUNCT
ejpam-1965	263	230	are	be	AUX
ejpam-1965	263	231	not	not	PART
ejpam-1965	263	232	true	true	ADJ
ejpam-1965	263	233	,	,	PUNCT
ejpam-1965	263	234	then	then	ADV
ejpam-1965	263	235	l(s∞	l(s∞	NOUN
ejpam-1965	263	236	)	)	PUNCT
ejpam-1965	263	237	=	=	NOUN
ejpam-1965	263	238	pq−∆.	pq−∆.	NOUN
ejpam-1965	263	239	also	also	ADV
ejpam-1965	263	240	we	we	PRON
ejpam-1965	263	241	can	can	AUX
ejpam-1965	263	242	obtain	obtain	VERB
ejpam-1965	263	243	the	the	DET
ejpam-1965	263	244	minimal	minimal	ADJ
ejpam-1965	263	245	polynomial	polynomial	NOUN
ejpam-1965	263	246	of	of	ADP
ejpam-1965	263	247	dcs6	dcs6	PROPN
ejpam-1965	263	248	.	.	PUNCT
ejpam-1965	264	1	additionally	additionally	ADV
ejpam-1965	264	2	we	we	PRON
ejpam-1965	264	3	can	can	AUX
ejpam-1965	264	4	note	note	VERB
ejpam-1965	264	5	that	that	SCONJ
ejpam-1965	264	6	for	for	SCONJ
ejpam-1965	264	7	the	the	DET
ejpam-1965	264	8	case	case	NOUN
ejpam-1965	264	9	of	of	ADP
ejpam-1965	264	10	(	(	PUNCT
ejpam-1965	264	11	ii	ii	PROPN
ejpam-1965	264	12	)	)	PUNCT
ejpam-1965	264	13	the	the	DET
ejpam-1965	264	14	linear	linear	ADJ
ejpam-1965	264	15	complexity	complexity	NOUN
ejpam-1965	264	16	of	of	ADP
ejpam-1965	264	17	d	d	PROPN
ejpam-1965	264	18	-	-	PUNCT
ejpam-1965	264	19	gcs6	gcs6	NOUN
ejpam-1965	264	20	does	do	AUX
ejpam-1965	264	21	not	not	PART
ejpam-1965	264	22	depend	depend	VERB
ejpam-1965	264	23	on	on	ADP
ejpam-1965	264	24	the	the	DET
ejpam-1965	264	25	value	value	NOUN
ejpam-1965	264	26	�	�	PROPN
ejpam-1965	264	27	p	p	NOUN
ejpam-1965	264	28	q	q	PROPN
ejpam-1965	264	29	�	�	PROPN
ejpam-1965	264	30	3	3	NUM
ejpam-1965	264	31	,	,	PUNCT
ejpam-1965	264	32	but	but	CCONJ
ejpam-1965	264	33	for	for	ADP
ejpam-1965	264	34	the	the	DET
ejpam-1965	264	35	minimal	minimal	ADJ
ejpam-1965	264	36	polynomial	polynomial	NOUN
ejpam-1965	264	37	this	this	PRON
ejpam-1965	264	38	is	be	AUX
ejpam-1965	264	39	not	not	PART
ejpam-1965	264	40	the	the	DET
ejpam-1965	264	41	case	case	NOUN
ejpam-1965	264	42	.	.	PUNCT
ejpam-1965	265	1	our	our	PRON
ejpam-1965	265	2	examples	example	NOUN
ejpam-1965	265	3	p	p	X
ejpam-1965	265	4	=	=	SYM
ejpam-1965	265	5	31	31	NUM
ejpam-1965	265	6	,	,	PUNCT
ejpam-1965	265	7	q	q	NOUN
ejpam-1965	265	8	=	=	SYM
ejpam-1965	265	9	127	127	NUM
ejpam-1965	265	10	;	;	PUNCT
ejpam-1965	265	11	p	p	X
ejpam-1965	265	12	=	=	PROPN
ejpam-1965	265	13	31	31	NUM
ejpam-1965	265	14	,	,	PUNCT
ejpam-1965	265	15	q	q	NOUN
ejpam-1965	265	16	=	=	SYM
ejpam-1965	265	17	19	19	NUM
ejpam-1965	265	18	or	or	CCONJ
ejpam-1965	265	19	p	p	NOUN
ejpam-1965	265	20	=	=	PROPN
ejpam-1965	265	21	31	31	NUM
ejpam-1965	265	22	,	,	PUNCT
ejpam-1965	265	23	q	q	NOUN
ejpam-1965	266	1	=	=	SYM
ejpam-1965	266	2	43	43	NUM
ejpam-1965	266	3	;	;	PUNCT
ejpam-1965	267	1	p	p	NOUN
ejpam-1965	267	2	=	=	PROPN
ejpam-1965	267	3	31	31	NUM
ejpam-1965	267	4	,	,	PUNCT
ejpam-1965	267	5	q	q	NOUN
ejpam-1965	267	6	=	=	NOUN
ejpam-1965	267	7	7	7	NUM
ejpam-1965	267	8	;	;	PUNCT
ejpam-1965	267	9	p	p	NOUN
ejpam-1965	267	10	=	=	SYM
ejpam-1965	267	11	7	7	NUM
ejpam-1965	267	12	,	,	PUNCT
ejpam-1965	267	13	q	q	NOUN
ejpam-1965	267	14	=	=	SYM
ejpam-1965	267	15	31	31	NUM
ejpam-1965	267	16	;	;	PUNCT
ejpam-1965	267	17	p	p	NOUN
ejpam-1965	267	18	=	=	SYM
ejpam-1965	267	19	7	7	NUM
ejpam-1965	267	20	,	,	PUNCT
ejpam-1965	267	21	q	q	NOUN
ejpam-1965	267	22	=	=	SYM
ejpam-1965	267	23	79	79	NUM
ejpam-1965	267	24	;	;	PUNCT
ejpam-1965	267	25	p	p	NOUN
ejpam-1965	267	26	=	=	SYM
ejpam-1965	267	27	13	13	NUM
ejpam-1965	267	28	,	,	PUNCT
ejpam-1965	267	29	q	q	NOUN
ejpam-1965	267	30	=	=	SYM
ejpam-1965	267	31	7	7	NUM
ejpam-1965	267	32	shows	show	VERB
ejpam-1965	267	33	that	that	SCONJ
ejpam-1965	267	34	all	all	DET
ejpam-1965	267	35	the	the	DET
ejpam-1965	267	36	cases	case	NOUN
ejpam-1965	267	37	of	of	ADP
ejpam-1965	267	38	theorem	theorem	ADJ
ejpam-1965	267	39	3	3	NUM
ejpam-1965	267	40	are	be	AUX
ejpam-1965	267	41	possible	possible	ADJ
ejpam-1965	267	42	.	.	PUNCT
ejpam-1965	268	1	5	5	X
ejpam-1965	268	2	.	.	X
ejpam-1965	268	3	conclusion	conclusion	NOUN
ejpam-1965	268	4	for	for	ADP
ejpam-1965	268	5	additive	additive	ADJ
ejpam-1965	268	6	stream	stream	NOUN
ejpam-1965	268	7	ciphering	cipher	VERB
ejpam-1965	268	8	,	,	PUNCT
ejpam-1965	268	9	the	the	DET
ejpam-1965	268	10	linear	linear	ADJ
ejpam-1965	268	11	span	span	NOUN
ejpam-1965	268	12	of	of	ADP
ejpam-1965	268	13	the	the	DET
ejpam-1965	268	14	keystream	keystream	NOUN
ejpam-1965	268	15	sequence	sequence	NOUN
ejpam-1965	268	16	must	must	AUX
ejpam-1965	268	17	be	be	AUX
ejpam-1965	268	18	large	large	ADJ
ejpam-1965	268	19	enough	enough	ADV
ejpam-1965	268	20	.	.	PUNCT
ejpam-1965	269	1	this	this	DET
ejpam-1965	269	2	paper	paper	NOUN
ejpam-1965	269	3	shows	show	VERB
ejpam-1965	269	4	that	that	SCONJ
ejpam-1965	269	5	almost	almost	ADV
ejpam-1965	269	6	all	all	DET
ejpam-1965	269	7	ding	ding	NOUN
ejpam-1965	269	8	-	-	PUNCT
ejpam-1965	269	9	helleseth	helleseth	NOUN
ejpam-1965	269	10	-	-	PUNCT
ejpam-1965	269	11	generalized	generalize	VERB
ejpam-1965	269	12	cyclotomic	cyclotomic	ADJ
ejpam-1965	269	13	sequences	sequence	NOUN
ejpam-1965	269	14	of	of	ADP
ejpam-1965	269	15	order	order	NOUN
ejpam-1965	269	16	four	four	NUM
ejpam-1965	269	17	or	or	CCONJ
ejpam-1965	269	18	six	six	NUM
ejpam-1965	269	19	with	with	ADP
ejpam-1965	269	20	period	period	NOUN
ejpam-1965	269	21	pq	pq	INTJ
ejpam-1965	269	22	have	have	VERB
ejpam-1965	269	23	high	high	ADJ
ejpam-1965	269	24	linear	linear	ADJ
ejpam-1965	269	25	complexity	complexity	NOUN
ejpam-1965	269	26	and	and	CCONJ
ejpam-1965	269	27	almost	almost	ADV
ejpam-1965	269	28	ideal	ideal	ADJ
ejpam-1965	269	29	balance	balance	NOUN
ejpam-1965	269	30	property	property	NOUN
ejpam-1965	269	31	.	.	PUNCT
ejpam-1965	270	1	long	long	ADJ
ejpam-1965	270	2	periods	period	NOUN
ejpam-1965	270	3	can	can	AUX
ejpam-1965	270	4	also	also	ADV
ejpam-1965	270	5	be	be	AUX
ejpam-1965	270	6	obtained	obtain	VERB
ejpam-1965	270	7	easily	easily	ADV
ejpam-1965	270	8	.	.	PUNCT
ejpam-1965	271	1	references	reference	NOUN
ejpam-1965	271	2	[	[	X
ejpam-1965	271	3	1	1	NUM
ejpam-1965	271	4	]	]	PUNCT
ejpam-1965	271	5	e.	e.	PROPN
ejpam-1965	271	6	bai	bai	PROPN
ejpam-1965	271	7	,	,	PUNCT
ejpam-1965	271	8	x.	x.	PROPN
ejpam-1965	271	9	liu	liu	PROPN
ejpam-1965	271	10	,	,	PUNCT
ejpam-1965	271	11	and	and	CCONJ
ejpam-1965	271	12	g.	g.	PROPN
ejpam-1965	271	13	xiao	xiao	PROPN
ejpam-1965	271	14	.	.	PUNCT
ejpam-1965	272	1	linear	linear	PROPN
ejpam-1965	272	2	complexity	complexity	NOUN
ejpam-1965	272	3	of	of	ADP
ejpam-1965	272	4	new	new	ADJ
ejpam-1965	272	5	generalized	generalized	ADJ
ejpam-1965	272	6	cyclotomic	cyclotomic	ADJ
ejpam-1965	272	7	sequences	sequence	NOUN
ejpam-1965	272	8	of	of	ADP
ejpam-1965	272	9	order	order	NOUN
ejpam-1965	272	10	two	two	NUM
ejpam-1965	272	11	of	of	ADP
ejpam-1965	272	12	length	length	PROPN
ejpam-1965	272	13	pq	pq	PROPN
ejpam-1965	272	14	.	.	PUNCT
ejpam-1965	273	1	ieee	ieee	NOUN
ejpam-1965	273	2	transactions	transaction	NOUN
ejpam-1965	273	3	on	on	ADP
ejpam-1965	273	4	information	information	NOUN
ejpam-1965	273	5	theory	theory	NOUN
ejpam-1965	273	6	,	,	PUNCT
ejpam-1965	273	7	51:1849–1853	51:1849–1853	NUM
ejpam-1965	273	8	,	,	PUNCT
ejpam-1965	273	9	2005	2005	NUM
ejpam-1965	273	10	.	.	PUNCT
ejpam-1965	274	1	[	[	X
ejpam-1965	274	2	2	2	X
ejpam-1965	274	3	]	]	PUNCT
ejpam-1965	274	4	z.	z.	PROPN
ejpam-1965	274	5	chen	chen	PROPN
ejpam-1965	274	6	and	and	CCONJ
ejpam-1965	274	7	s.	s.	PROPN
ejpam-1965	274	8	li	li	PROPN
ejpam-1965	274	9	.	.	PUNCT
ejpam-1965	275	1	some	some	DET
ejpam-1965	275	2	notes	note	NOUN
ejpam-1965	275	3	on	on	ADP
ejpam-1965	275	4	generalized	generalized	ADJ
ejpam-1965	275	5	cyclotomic	cyclotomic	ADJ
ejpam-1965	275	6	sequences	sequence	NOUN
ejpam-1965	275	7	of	of	ADP
ejpam-1965	275	8	length	length	PROPN
ejpam-1965	275	9	pq	pq	PROPN
ejpam-1965	275	10	.	.	PROPN
ejpam-1965	275	11	journal	journal	PROPN
ejpam-1965	275	12	of	of	ADP
ejpam-1965	275	13	computer	computer	NOUN
ejpam-1965	275	14	science	science	NOUN
ejpam-1965	275	15	and	and	CCONJ
ejpam-1965	275	16	technology	technology	NOUN
ejpam-1965	275	17	,	,	PUNCT
ejpam-1965	275	18	23(5):843–850	23(5):843–850	NUM
ejpam-1965	275	19	,	,	PUNCT
ejpam-1965	275	20	2008	2008	NUM
ejpam-1965	275	21	.	.	PUNCT
ejpam-1965	276	1	[	[	X
ejpam-1965	276	2	3	3	X
ejpam-1965	276	3	]	]	PUNCT
ejpam-1965	276	4	t.	t.	PROPN
ejpam-1965	276	5	w.	w.	PROPN
ejpam-1965	276	6	cusick	cusick	PROPN
ejpam-1965	276	7	,	,	PUNCT
ejpam-1965	276	8	c.	c.	PROPN
ejpam-1965	276	9	ding	ding	PROPN
ejpam-1965	276	10	,	,	PUNCT
ejpam-1965	276	11	and	and	CCONJ
ejpam-1965	276	12	a.	a.	NOUN
ejpam-1965	276	13	renvall	renvall	PROPN
ejpam-1965	276	14	.	.	PUNCT
ejpam-1965	277	1	stream	stream	VERB
ejpam-1965	277	2	ciphers	cipher	NOUN
ejpam-1965	277	3	and	and	CCONJ
ejpam-1965	277	4	number	number	NOUN
ejpam-1965	277	5	theory	theory	NOUN
ejpam-1965	277	6	.	.	PUNCT
ejpam-1965	278	1	north	north	NOUN
ejpam-1965	278	2	-	-	PUNCT
ejpam-1965	278	3	holland	holland	PROPN
ejpam-1965	278	4	mathematical	mathematical	PROPN
ejpam-1965	278	5	library	library	NOUN
ejpam-1965	278	6	,	,	PUNCT
ejpam-1965	278	7	north	north	NOUN
ejpam-1965	278	8	-	-	PUNCT
ejpam-1965	278	9	holland	holland	PROPN
ejpam-1965	278	10	publishing	publishing	PROPN
ejpam-1965	278	11	co.	co.	PROPN
ejpam-1965	278	12	,	,	PUNCT
ejpam-1965	278	13	amsterdam	amsterdam	PROPN
ejpam-1965	278	14	,	,	PUNCT
ejpam-1965	278	15	1998	1998	NUM
ejpam-1965	278	16	.	.	PUNCT
ejpam-1965	279	1	[	[	X
ejpam-1965	279	2	4	4	NUM
ejpam-1965	279	3	]	]	X
ejpam-1965	279	4	c.	c.	PROPN
ejpam-1965	279	5	ding	ding	PROPN
ejpam-1965	279	6	.	.	PUNCT
ejpam-1965	280	1	linear	linear	ADJ
ejpam-1965	280	2	complexity	complexity	NOUN
ejpam-1965	280	3	of	of	ADP
ejpam-1965	280	4	generalized	generalized	ADJ
ejpam-1965	280	5	cyclotomic	cyclotomic	ADJ
ejpam-1965	280	6	binary	binary	ADJ
ejpam-1965	280	7	sequences	sequence	NOUN
ejpam-1965	280	8	of	of	ADP
ejpam-1965	280	9	order	order	NOUN
ejpam-1965	280	10	2	2	NUM
ejpam-1965	280	11	.	.	NOUN
ejpam-1965	280	12	finite	finite	PROPN
ejpam-1965	280	13	fields	field	NOUN
ejpam-1965	280	14	and	and	CCONJ
ejpam-1965	280	15	their	their	PRON
ejpam-1965	280	16	applications	application	NOUN
ejpam-1965	280	17	,	,	PUNCT
ejpam-1965	280	18	3(2):159–174	3(2):159–174	NUM
ejpam-1965	280	19	,	,	PUNCT
ejpam-1965	280	20	1997	1997	NUM
ejpam-1965	280	21	.	.	PUNCT
ejpam-1965	281	1	[	[	X
ejpam-1965	281	2	5	5	X
ejpam-1965	281	3	]	]	X
ejpam-1965	281	4	c.	c.	PROPN
ejpam-1965	281	5	ding	ding	PROPN
ejpam-1965	281	6	.	.	PUNCT
ejpam-1965	282	1	autocorrelation	autocorrelation	NOUN
ejpam-1965	282	2	values	value	NOUN
ejpam-1965	282	3	of	of	ADP
ejpam-1965	282	4	generalized	generalized	ADJ
ejpam-1965	282	5	cyclotomic	cyclotomic	ADJ
ejpam-1965	282	6	sequences	sequence	NOUN
ejpam-1965	282	7	of	of	ADP
ejpam-1965	282	8	order	order	NOUN
ejpam-1965	282	9	two	two	NUM
ejpam-1965	282	10	.	.	PUNCT
ejpam-1965	283	1	ieee	ieee	NOUN
ejpam-1965	283	2	transactions	transaction	NOUN
ejpam-1965	283	3	on	on	ADP
ejpam-1965	283	4	information	information	NOUN
ejpam-1965	283	5	theory	theory	NOUN
ejpam-1965	283	6	,	,	PUNCT
ejpam-1965	283	7	44(5):1699–1702	44(5):1699–1702	PROPN
ejpam-1965	283	8	,	,	PUNCT
ejpam-1965	283	9	1998	1998	NUM
ejpam-1965	283	10	.	.	PUNCT
ejpam-1965	284	1	references	reference	NOUN
ejpam-1965	284	2	265	265	NUM
ejpam-1965	284	3	[	[	SYM
ejpam-1965	284	4	6	6	NUM
ejpam-1965	284	5	]	]	X
ejpam-1965	284	6	c.	c.	PROPN
ejpam-1965	284	7	ding	ding	PROPN
ejpam-1965	284	8	.	.	PUNCT
ejpam-1965	285	1	new	new	ADJ
ejpam-1965	285	2	generalized	generalize	VERB
ejpam-1965	285	3	cyclotomy	cyclotomy	NOUN
ejpam-1965	285	4	and	and	CCONJ
ejpam-1965	285	5	its	its	PRON
ejpam-1965	285	6	applications	application	NOUN
ejpam-1965	285	7	.	.	PUNCT
ejpam-1965	286	1	finite	finite	PROPN
ejpam-1965	286	2	fields	field	NOUN
ejpam-1965	286	3	and	and	CCONJ
ejpam-1965	286	4	their	their	PRON
ejpam-1965	286	5	applications	application	NOUN
ejpam-1965	286	6	,	,	PUNCT
ejpam-1965	286	7	4(2):140–166	4(2):140–166	NOUN
ejpam-1965	286	8	,	,	PUNCT
ejpam-1965	286	9	1998	1998	NUM
ejpam-1965	286	10	.	.	PUNCT
ejpam-1965	287	1	[	[	X
ejpam-1965	287	2	7	7	X
ejpam-1965	287	3	]	]	X
ejpam-1965	287	4	c.	c.	NOUN
ejpam-1965	287	5	ding	ding	PROPN
ejpam-1965	287	6	and	and	CCONJ
ejpam-1965	287	7	t.	t.	PROPN
ejpam-1965	287	8	helleseth	helleseth	PROPN
ejpam-1965	287	9	.	.	PUNCT
ejpam-1965	288	1	generalized	generalize	VERB
ejpam-1965	288	2	cyclotomic	cyclotomic	ADJ
ejpam-1965	288	3	codes	code	NOUN
ejpam-1965	288	4	of	of	ADP
ejpam-1965	288	5	length	length	NOUN
ejpam-1965	288	6	pe1	pe1	PROPN
ejpam-1965	288	7	1	1	NUM
ejpam-1965	288	8	.	.	PUNCT
ejpam-1965	288	9	.	.	PUNCT
ejpam-1965	288	10	.	.	PUNCT
ejpam-1965	289	1	pet	pet	PROPN
ejpam-1965	289	2	t	t	PROPN
ejpam-1965	289	3	.	.	PUNCT
ejpam-1965	290	1	ieee	ieee	NOUN
ejpam-1965	290	2	transactions	transaction	NOUN
ejpam-1965	290	3	on	on	ADP
ejpam-1965	290	4	information	information	NOUN
ejpam-1965	290	5	theory	theory	NOUN
ejpam-1965	290	6	,	,	PUNCT
ejpam-1965	290	7	45(2):467–474	45(2):467–474	PROPN
ejpam-1965	290	8	,	,	PUNCT
ejpam-1965	290	9	1999	1999	NUM
ejpam-1965	290	10	.	.	PUNCT
ejpam-1965	291	1	[	[	X
ejpam-1965	291	2	8	8	NUM
ejpam-1965	291	3	]	]	X
ejpam-1965	291	4	c.	c.	PROPN
ejpam-1965	291	5	ding	ding	PROPN
ejpam-1965	291	6	,	,	PUNCT
ejpam-1965	291	7	t.	t.	NOUN
ejpam-1965	291	8	helleseth	helleseth	PROPN
ejpam-1965	291	9	,	,	PUNCT
ejpam-1965	291	10	and	and	CCONJ
ejpam-1965	291	11	w.	w.	PROPN
ejpam-1965	291	12	shan	shan	PROPN
ejpam-1965	291	13	.	.	PUNCT
ejpam-1965	292	1	on	on	ADP
ejpam-1965	292	2	the	the	DET
ejpam-1965	292	3	linear	linear	ADJ
ejpam-1965	292	4	complexity	complexity	NOUN
ejpam-1965	292	5	of	of	ADP
ejpam-1965	292	6	legendre	legendre	PROPN
ejpam-1965	292	7	sequences	sequence	NOUN
ejpam-1965	292	8	.	.	PUNCT
ejpam-1965	293	1	ieee	ieee	NOUN
ejpam-1965	293	2	transactions	transaction	NOUN
ejpam-1965	293	3	on	on	ADP
ejpam-1965	293	4	information	information	NOUN
ejpam-1965	293	5	theory	theory	NOUN
ejpam-1965	293	6	,	,	PUNCT
ejpam-1965	293	7	44:1276–1278	44:1276–1278	NUM
ejpam-1965	293	8	,	,	PUNCT
ejpam-1965	293	9	1998	1998	NUM
ejpam-1965	293	10	.	.	PUNCT
ejpam-1965	294	1	[	[	X
ejpam-1965	294	2	9	9	NUM
ejpam-1965	294	3	]	]	X
ejpam-1965	294	4	v.a	v.a	PROPN
ejpam-1965	294	5	.	.	PROPN
ejpam-1965	294	6	edemskii	edemskii	PROPN
ejpam-1965	294	7	.	.	PUNCT
ejpam-1965	295	1	on	on	ADP
ejpam-1965	295	2	the	the	DET
ejpam-1965	295	3	linear	linear	ADJ
ejpam-1965	295	4	complexity	complexity	NOUN
ejpam-1965	295	5	of	of	ADP
ejpam-1965	295	6	binary	binary	ADJ
ejpam-1965	295	7	sequences	sequence	NOUN
ejpam-1965	295	8	on	on	ADP
ejpam-1965	295	9	the	the	DET
ejpam-1965	295	10	basis	basis	NOUN
ejpam-1965	295	11	of	of	ADP
ejpam-1965	295	12	biquadratic	biquadratic	ADJ
ejpam-1965	295	13	and	and	CCONJ
ejpam-1965	295	14	sextic	sextic	ADJ
ejpam-1965	295	15	residue	residue	NOUN
ejpam-1965	295	16	classes	class	NOUN
ejpam-1965	295	17	.	.	PUNCT
ejpam-1965	296	1	discrete	discrete	ADJ
ejpam-1965	296	2	mathematics	mathematic	NOUN
ejpam-1965	296	3	and	and	CCONJ
ejpam-1965	296	4	applications	application	NOUN
ejpam-1965	296	5	,	,	PUNCT
ejpam-1965	296	6	20(1):75–84	20(1):75–84	NUM
ejpam-1965	296	7	,	,	PUNCT
ejpam-1965	296	8	2010	2010	NUM
ejpam-1965	296	9	.	.	PUNCT
ejpam-1965	297	1	[	[	X
ejpam-1965	297	2	10	10	NUM
ejpam-1965	297	3	]	]	X
ejpam-1965	297	4	v.a	v.a	PROPN
ejpam-1965	297	5	.	.	PROPN
ejpam-1965	297	6	edemskiy	edemskiy	PROPN
ejpam-1965	297	7	.	.	PUNCT
ejpam-1965	298	1	linear	linear	ADJ
ejpam-1965	298	2	complexity	complexity	NOUN
ejpam-1965	298	3	of	of	ADP
ejpam-1965	298	4	ternary	ternary	ADJ
ejpam-1965	298	5	sequences	sequence	NOUN
ejpam-1965	298	6	formed	form	VERB
ejpam-1965	298	7	on	on	ADP
ejpam-1965	298	8	the	the	DET
ejpam-1965	298	9	basis	basis	NOUN
ejpam-1965	298	10	of	of	ADP
ejpam-1965	298	11	power	power	NOUN
ejpam-1965	298	12	residue	residue	NOUN
ejpam-1965	298	13	classes	class	NOUN
ejpam-1965	298	14	.	.	PUNCT
ejpam-1965	299	1	problems	problem	NOUN
ejpam-1965	299	2	of	of	ADP
ejpam-1965	299	3	information	information	NOUN
ejpam-1965	299	4	transmission	transmission	NOUN
ejpam-1965	299	5	.	.	PUNCT
ejpam-1965	299	6	,	,	PUNCT
ejpam-1965	299	7	44(4):287–294	44(4):287–294	NOUN
ejpam-1965	299	8	,	,	PUNCT
ejpam-1965	299	9	2008	2008	NUM
ejpam-1965	299	10	.	.	PUNCT
ejpam-1965	300	1	[	[	X
ejpam-1965	300	2	11	11	NUM
ejpam-1965	300	3	]	]	PUNCT
ejpam-1965	300	4	m.	m.	NOUN
ejpam-1965	300	5	hall	hall	PROPN
ejpam-1965	300	6	.	.	PUNCT
ejpam-1965	301	1	a	a	DET
ejpam-1965	301	2	survey	survey	NOUN
ejpam-1965	301	3	of	of	ADP
ejpam-1965	301	4	difference	difference	NOUN
ejpam-1965	301	5	sets	set	NOUN
ejpam-1965	301	6	.	.	PUNCT
ejpam-1965	302	1	proceedings	proceeding	NOUN
ejpam-1965	302	2	of	of	ADP
ejpam-1965	302	3	the	the	DET
ejpam-1965	302	4	american	american	PROPN
ejpam-1965	302	5	mathematical	mathematical	PROPN
ejpam-1965	302	6	society	society	NOUN
ejpam-1965	302	7	,	,	PUNCT
ejpam-1965	302	8	7:975–986	7:975–986	NUM
ejpam-1965	302	9	,	,	PUNCT
ejpam-1965	302	10	1056	1056	NUM
ejpam-1965	302	11	.	.	PUNCT
ejpam-1965	303	1	[	[	X
ejpam-1965	303	2	12	12	NUM
ejpam-1965	303	3	]	]	PUNCT
ejpam-1965	303	4	k.	k.	PROPN
ejpam-1965	303	5	ireland	ireland	PROPN
ejpam-1965	303	6	and	and	CCONJ
ejpam-1965	303	7	m.	m.	PROPN
ejpam-1965	303	8	rosen	rosen	PROPN
ejpam-1965	303	9	.	.	PUNCT
ejpam-1965	304	1	a	a	DET
ejpam-1965	304	2	classical	classical	ADJ
ejpam-1965	304	3	introduction	introduction	NOUN
ejpam-1965	304	4	to	to	ADP
ejpam-1965	304	5	modern	modern	ADJ
ejpam-1965	304	6	number	number	NOUN
ejpam-1965	304	7	theory	theory	NOUN
ejpam-1965	304	8	.	.	PUNCT
ejpam-1965	305	1	springerverlag	springerverlag	PROPN
ejpam-1965	305	2	,	,	PUNCT
ejpam-1965	305	3	north	north	NOUN
ejpam-1965	305	4	-	-	PUNCT
ejpam-1965	305	5	holland	holland	PROPN
ejpam-1965	305	6	publishing	publishing	PROPN
ejpam-1965	305	7	co.	co.	PROPN
ejpam-1965	305	8	,	,	PUNCT
ejpam-1965	305	9	amsterdam	amsterdam	PROPN
ejpam-1965	305	10	,	,	PUNCT
ejpam-1965	305	11	1982	1982	NUM
ejpam-1965	305	12	.	.	PUNCT
ejpam-1965	306	1	[	[	X
ejpam-1965	306	2	13	13	NUM
ejpam-1965	306	3	]	]	X
ejpam-1965	306	4	j.h	j.h	PROPN
ejpam-1965	306	5	.	.	PROPN
ejpam-1965	306	6	kim	kim	PROPN
ejpam-1965	306	7	and	and	CCONJ
ejpam-1965	306	8	h.y	h.y	PROPN
ejpam-1965	306	9	.	.	PROPN
ejpam-1965	306	10	song	song	PROPN
ejpam-1965	306	11	.	.	PUNCT
ejpam-1965	307	1	on	on	ADP
ejpam-1965	307	2	the	the	DET
ejpam-1965	307	3	linear	linear	ADJ
ejpam-1965	307	4	complexity	complexity	NOUN
ejpam-1965	307	5	of	of	ADP
ejpam-1965	307	6	halls	hall	NOUN
ejpam-1965	307	7	sextic	sextic	ADJ
ejpam-1965	307	8	residue	residue	NOUN
ejpam-1965	307	9	sequences	sequence	NOUN
ejpam-1965	307	10	.	.	PUNCT
ejpam-1965	308	1	ieee	ieee	NOUN
ejpam-1965	308	2	transactions	transaction	NOUN
ejpam-1965	308	3	on	on	ADP
ejpam-1965	308	4	information	information	NOUN
ejpam-1965	308	5	theory	theory	NOUN
ejpam-1965	308	6	,	,	PUNCT
ejpam-1965	308	7	47(5):2094–2096	47(5):2094–2096	NUM
ejpam-1965	308	8	,	,	PUNCT
ejpam-1965	308	9	2001	2001	NUM
ejpam-1965	308	10	.	.	PUNCT
ejpam-1965	309	1	[	[	X
ejpam-1965	309	2	14	14	NUM
ejpam-1965	309	3	]	]	X
ejpam-1965	309	4	r.	r.	PROPN
ejpam-1965	309	5	lidl	lidl	PROPN
ejpam-1965	309	6	and	and	CCONJ
ejpam-1965	309	7	h.	h.	PROPN
ejpam-1965	309	8	niederreiter	niederreiter	PROPN
ejpam-1965	309	9	.	.	PUNCT
ejpam-1965	310	1	finite	finite	PROPN
ejpam-1965	310	2	fields	fields	PROPN
ejpam-1965	310	3	.	.	PUNCT
ejpam-1965	311	1	addison	addison	PROPN
ejpam-1965	311	2	-	-	PUNCT
ejpam-1965	311	3	wesley	wesley	PROPN
ejpam-1965	311	4	press	press	PROPN
ejpam-1965	311	5	,	,	PUNCT
ejpam-1965	311	6	massachusetts	massachusetts	PROPN
ejpam-1965	311	7	,	,	PUNCT
ejpam-1965	311	8	1983	1983	NUM
ejpam-1965	311	9	.	.	PUNCT
ejpam-1965	312	1	[	[	X
ejpam-1965	312	2	15	15	NUM
ejpam-1965	312	3	]	]	X
ejpam-1965	312	4	w.	w.	PROPN
ejpam-1965	312	5	meidl	meidl	PROPN
ejpam-1965	312	6	.	.	PUNCT
ejpam-1965	313	1	remarks	remark	NOUN
ejpam-1965	313	2	on	on	ADP
ejpam-1965	313	3	a	a	DET
ejpam-1965	313	4	cyclotomic	cyclotomic	ADJ
ejpam-1965	313	5	sequence	sequence	NOUN
ejpam-1965	313	6	.	.	PUNCT
ejpam-1965	314	1	designs	design	NOUN
ejpam-1965	314	2	,	,	PUNCT
ejpam-1965	314	3	codes	code	NOUN
ejpam-1965	314	4	,	,	PUNCT
ejpam-1965	314	5	and	and	CCONJ
ejpam-1965	314	6	cryptography	cryptography	NOUN
ejpam-1965	314	7	,	,	PUNCT
ejpam-1965	314	8	51(1):33–44	51(1):33–44	NUM
ejpam-1965	314	9	,	,	PUNCT
ejpam-1965	314	10	2009	2009	NUM
ejpam-1965	314	11	.	.	PUNCT
ejpam-1965	315	1	[	[	X
ejpam-1965	315	2	16	16	NUM
ejpam-1965	315	3	]	]	X
ejpam-1965	315	4	w.	w.	PROPN
ejpam-1965	315	5	meidl	meidl	PROPN
ejpam-1965	315	6	and	and	CCONJ
ejpam-1965	315	7	a.	a.	NOUN
ejpam-1965	315	8	winterhof	winterhof	PROPN
ejpam-1965	315	9	.	.	PUNCT
ejpam-1965	316	1	on	on	ADP
ejpam-1965	316	2	the	the	DET
ejpam-1965	316	3	autocorrelation	autocorrelation	NOUN
ejpam-1965	316	4	of	of	ADP
ejpam-1965	316	5	cyclotomic	cyclotomic	ADJ
ejpam-1965	316	6	generators	generator	NOUN
ejpam-1965	316	7	.	.	PUNCT
ejpam-1965	317	1	in	in	ADP
ejpam-1965	317	2	lecture	lecture	NOUN
ejpam-1965	317	3	notes	note	NOUN
ejpam-1965	317	4	in	in	ADP
ejpam-1965	317	5	computer	computer	NOUN
ejpam-1965	317	6	science	science	NOUN
ejpam-1965	317	7	.	.	PUNCT
ejpam-1965	317	8	,	,	PUNCT
ejpam-1965	317	9	volume	volume	NOUN
ejpam-1965	317	10	2948	2948	NUM
ejpam-1965	317	11	.	.	PUNCT
ejpam-1965	318	1	springer	springer	NOUN
ejpam-1965	318	2	,	,	PUNCT
ejpam-1965	318	3	berlin	berlin	PROPN
ejpam-1965	318	4	,	,	PUNCT
ejpam-1965	318	5	2004	2004	NUM
ejpam-1965	318	6	.	.	PUNCT
ejpam-1965	319	1	[	[	X
ejpam-1965	319	2	17	17	NUM
ejpam-1965	319	3	]	]	X
ejpam-1965	319	4	a.l	a.l	PROPN
ejpam-1965	319	5	.	.	PROPN
ejpam-1965	319	6	whiteman	whiteman	PROPN
ejpam-1965	319	7	.	.	PUNCT
ejpam-1965	320	1	a	a	DET
ejpam-1965	320	2	family	family	NOUN
ejpam-1965	320	3	of	of	ADP
ejpam-1965	320	4	difference	difference	NOUN
ejpam-1965	320	5	sets	set	NOUN
ejpam-1965	320	6	.	.	PUNCT
ejpam-1965	321	1	illinois	illinois	PROPN
ejpam-1965	321	2	journal	journal	PROPN
ejpam-1965	321	3	of	of	ADP
ejpam-1965	321	4	mathematics	mathematics	PROPN
ejpam-1965	321	5	,	,	PUNCT
ejpam-1965	321	6	6:107–121	6:107–121	NUM
ejpam-1965	321	7	,	,	PUNCT
ejpam-1965	321	8	1962	1962	NUM
ejpam-1965	321	9	.	.	PUNCT
ejpam-1965	322	1	[	[	X
ejpam-1965	322	2	18	18	NUM
ejpam-1965	322	3	]	]	X
ejpam-1965	322	4	t	t	PROPN
ejpam-1965	322	5	yan	yan	PROPN
ejpam-1965	322	6	.	.	PUNCT
ejpam-1965	323	1	linear	linear	PROPN
ejpam-1965	323	2	complexity	complexity	NOUN
ejpam-1965	323	3	of	of	ADP
ejpam-1965	323	4	ding	ding	NOUN
ejpam-1965	323	5	-	-	PUNCT
ejpam-1965	323	6	helleseth	helleseth	NOUN
ejpam-1965	323	7	generalized	generalized	ADJ
ejpam-1965	323	8	cyclotomic	cyclotomic	ADJ
ejpam-1965	323	9	binary	binary	ADJ
ejpam-1965	323	10	sequences	sequence	NOUN
ejpam-1965	323	11	of	of	ADP
ejpam-1965	323	12	any	any	DET
ejpam-1965	323	13	order	order	NOUN
ejpam-1965	323	14	.	.	PUNCT
ejpam-1965	324	1	eprint	eprint	NOUN
ejpam-1965	324	2	arxiv	arxiv	PROPN
ejpam-1965	324	3	1108.4450	1108.4450	NUM
ejpam-1965	324	4	,	,	PUNCT
ejpam-1965	324	5	2011	2011	NUM
ejpam-1965	324	6	.	.	PUNCT
ejpam-1965	325	1	[	[	X
ejpam-1965	325	2	19	19	NUM
ejpam-1965	325	3	]	]	X
ejpam-1965	325	4	t.	t.	PROPN
ejpam-1965	325	5	yan	yan	PROPN
ejpam-1965	325	6	,	,	PUNCT
ejpam-1965	325	7	l.	l.	PROPN
ejpam-1965	325	8	hong	hong	PROPN
ejpam-1965	325	9	,	,	PUNCT
ejpam-1965	325	10	and	and	CCONJ
ejpam-1965	325	11	g.	g.	PROPN
ejpam-1965	325	12	xiao	xiao	PROPN
ejpam-1965	325	13	.	.	PUNCT
ejpam-1965	326	1	the	the	DET
ejpam-1965	326	2	linear	linear	ADJ
ejpam-1965	326	3	complexity	complexity	NOUN
ejpam-1965	326	4	of	of	ADP
ejpam-1965	326	5	new	new	ADJ
ejpam-1965	326	6	generalized	generalized	ADJ
ejpam-1965	326	7	cyclotomic	cyclotomic	ADJ
ejpam-1965	326	8	binary	binary	ADJ
ejpam-1965	326	9	sequences	sequence	NOUN
ejpam-1965	326	10	of	of	ADP
ejpam-1965	326	11	order	order	NOUN
ejpam-1965	326	12	four	four	NUM
ejpam-1965	326	13	.	.	PUNCT
ejpam-1965	327	1	information	information	NOUN
ejpam-1965	327	2	sciences	sciences	PROPN
ejpam-1965	327	3	,	,	PUNCT
ejpam-1965	327	4	178(3):2094–2096	178(3):2094–2096	NUM
ejpam-1965	327	5	,	,	PUNCT
ejpam-1965	327	6	2008	2008	NUM
ejpam-1965	327	7	.	.	PUNCT
ejpam-1965	328	1	appendix	appendix	NOUN
ejpam-1965	328	2	let	let	VERB
ejpam-1965	328	3	as	as	ADP
ejpam-1965	328	4	in	in	ADP
ejpam-1965	328	5	[	[	X
ejpam-1965	328	6	19	19	NUM
ejpam-1965	328	7	]	]	X
ejpam-1965	328	8	sq	sq	PROPN
ejpam-1965	328	9	j	j	PROPN
ejpam-1965	328	10	(	(	PUNCT
ejpam-1965	328	11	j+1	j+1	PROPN
ejpam-1965	328	12	)	)	PUNCT
ejpam-1965	328	13	=	=	PUNCT
ejpam-1965	329	1	∑	∑	PUNCT
ejpam-1965	329	2	i∈q	i∈q	PROPN
ejpam-1965	329	3	j	j	PROPN
ejpam-1965	329	4	⋃	⋃	NOUN
ejpam-1965	329	5	q	q	PUNCT
ejpam-1965	329	6	j+1	j+1	ADJ
ejpam-1965	329	7	αi	αi	NOUN
ejpam-1965	329	8	and	and	CCONJ
ejpam-1965	329	9	spd	spd	PROPN
ejpam-1965	329	10	j	j	PROPN
ejpam-1965	329	11	(	(	PUNCT
ejpam-1965	329	12	j+1	j+1	PROPN
ejpam-1965	329	13	)	)	PUNCT
ejpam-1965	329	14	=	=	PUNCT
ejpam-1965	330	1	∑	∑	PUNCT
ejpam-1965	330	2	i∈pj	i∈pj	ADV
ejpam-1965	330	3	⋃	⋃	NOUN
ejpam-1965	330	4	pj+1	pj+1	NOUN
ejpam-1965	330	5	⋃	⋃	NOUN
ejpam-1965	330	6	dj	dj	NOUN
ejpam-1965	330	7	⋃	⋃	NOUN
ejpam-1965	330	8	dj+1	dj+1	NOUN
ejpam-1965	330	9	αi	αi	NOUN
ejpam-1965	330	10	then	then	ADV
ejpam-1965	330	11	s(α	s(α	VERB
ejpam-1965	330	12	)	)	PUNCT
ejpam-1965	330	13	=	=	PUNCT
ejpam-1965	331	1	sq	sq	INTJ
ejpam-1965	331	2	23+spd	23+spd	NUM
ejpam-1965	331	3	23	23	NUM
ejpam-1965	331	4	and	and	CCONJ
ejpam-1965	331	5	the	the	DET
ejpam-1965	331	6	values	value	NOUN
ejpam-1965	331	7	of	of	ADP
ejpam-1965	331	8	s(αk	s(αk	PROPN
ejpam-1965	331	9	)	)	PUNCT
ejpam-1965	331	10	are	be	AUX
ejpam-1965	331	11	given	give	VERB
ejpam-1965	331	12	in	in	ADP
ejpam-1965	331	13	table	table	NOUN
ejpam-1965	331	14	1	1	NUM
ejpam-1965	331	15	[	[	X
ejpam-1965	331	16	19	19	NUM
ejpam-1965	331	17	]	]	PUNCT
ejpam-1965	331	18	.	.	PUNCT
ejpam-1965	332	1	in	in	ADP
ejpam-1965	332	2	particular	particular	ADJ
ejpam-1965	332	3	,	,	PUNCT
ejpam-1965	332	4	authors	author	NOUN
ejpam-1965	332	5	argue	argue	VERB
ejpam-1965	332	6	that	that	SCONJ
ejpam-1965	332	7	s(αk	s(αk	NOUN
ejpam-1965	332	8	)	)	PUNCT
ejpam-1965	332	9	=	=	SYM
ejpam-1965	333	1	sq	sq	NOUN
ejpam-1965	333	2	23	23	NUM
ejpam-1965	333	3	+	+	NUM
ejpam-1965	333	4	spd	spd	NOUN
ejpam-1965	333	5	23	23	NUM
ejpam-1965	334	1	+	+	CCONJ
ejpam-1965	334	2	1	1	NUM
ejpam-1965	334	3	,	,	PUNCT
ejpam-1965	334	4	if	if	SCONJ
ejpam-1965	334	5	k	k	PROPN
ejpam-1965	334	6	∈	∈	PROPN
ejpam-1965	334	7	d2	d2	PROPN
ejpam-1965	334	8	and	and	CCONJ
ejpam-1965	334	9	k(mod	k(mod	PROPN
ejpam-1965	334	10	p	p	X
ejpam-1965	334	11	)	)	PUNCT
ejpam-1965	334	12	∈	∈	PROPN
ejpam-1965	334	13	d(p)0	d(p)0	PROPN
ejpam-1965	334	14	.	.	PUNCT
ejpam-1965	335	1	we	we	PRON
ejpam-1965	335	2	argue	argue	VERB
ejpam-1965	335	3	that	that	SCONJ
ejpam-1965	335	4	this	this	PRON
ejpam-1965	335	5	is	be	AUX
ejpam-1965	335	6	not	not	PART
ejpam-1965	335	7	true	true	ADJ
ejpam-1965	335	8	.	.	PUNCT
ejpam-1965	336	1	references	reference	NOUN
ejpam-1965	336	2	266	266	NUM
ejpam-1965	336	3	by	by	ADP
ejpam-1965	336	4	definition	definition	NOUN
ejpam-1965	336	5	we	we	PRON
ejpam-1965	336	6	have	have	VERB
ejpam-1965	336	7	s(αk	s(αk	PROPN
ejpam-1965	336	8	)	)	PUNCT
ejpam-1965	336	9	=	=	PUNCT
ejpam-1965	336	10	∑	∑	ADP
ejpam-1965	336	11	i∈q2	i∈q2	ADJ
ejpam-1965	336	12	+	+	CCONJ
ejpam-1965	336	13	∑	∑	ADV
ejpam-1965	336	14	i∈q3	i∈q3	PROPN
ejpam-1965	336	15	+	+	CCONJ
ejpam-1965	336	16	∑	∑	ADJ
ejpam-1965	336	17	i∈p2	i∈p2	NOUN
ejpam-1965	336	18	+	+	CCONJ
ejpam-1965	336	19	∑	∑	PUNCT
ejpam-1965	336	20	i∈p3	i∈p3	NOUN
ejpam-1965	336	21	+	+	CCONJ
ejpam-1965	336	22	∑	∑	ADV
ejpam-1965	336	23	i∈d2	i∈d2	ADJ
ejpam-1965	336	24	+	+	CCONJ
ejpam-1965	336	25	∑	∑	ADV
ejpam-1965	336	26	i∈d3	i∈d3	NOUN
ejpam-1965	336	27	!	!	PUNCT
ejpam-1965	337	1	αki	αki	PROPN
ejpam-1965	337	2	or	or	CCONJ
ejpam-1965	337	3	s(αk	s(αk	PROPN
ejpam-1965	337	4	)	)	PUNCT
ejpam-1965	338	1	=	=	PUNCT
ejpam-1965	338	2	∑	∑	PUNCT
ejpam-1965	338	3	j∈kq2	j∈kq2	PROPN
ejpam-1965	338	4	+	+	CCONJ
ejpam-1965	338	5	∑	∑	PUNCT
ejpam-1965	338	6	j∈kq3	j∈kq3	NOUN
ejpam-1965	338	7	+	+	CCONJ
ejpam-1965	338	8	∑	∑	PUNCT
ejpam-1965	338	9	j∈kp2	j∈kp2	VERB
ejpam-1965	338	10	+	+	CCONJ
ejpam-1965	338	11	∑	∑	PUNCT
ejpam-1965	338	12	j∈kp3	j∈kp3	ADV
ejpam-1965	338	13	+	+	CCONJ
ejpam-1965	338	14	∑	∑	PUNCT
ejpam-1965	338	15	j∈kd2	j∈kd2	ADJ
ejpam-1965	338	16	+	+	CCONJ
ejpam-1965	338	17	∑	∑	PUNCT
ejpam-1965	338	18	j∈kd3	j∈kd3	X
ejpam-1965	338	19	!	!	PUNCT
ejpam-1965	339	1	α	α	X
ejpam-1965	340	1	j	j	PROPN
ejpam-1965	340	2	.	.	PUNCT
ejpam-1965	341	1	if	if	SCONJ
ejpam-1965	341	2	k	k	PROPN
ejpam-1965	341	3	∈	∈	PROPN
ejpam-1965	341	4	d2	d2	PROPN
ejpam-1965	341	5	and	and	CCONJ
ejpam-1965	341	6	k(mod	k(mod	PROPN
ejpam-1965	341	7	p	p	X
ejpam-1965	341	8	)	)	PUNCT
ejpam-1965	341	9	∈	∈	PROPN
ejpam-1965	341	10	d(p)0	d(p)0	PROPN
ejpam-1965	341	11	,	,	PUNCT
ejpam-1965	341	12	then	then	ADV
ejpam-1965	341	13	by	by	ADP
ejpam-1965	341	14	lemma	lemma	PROPN
ejpam-1965	341	15	2	2	NUM
ejpam-1965	342	1	[	[	X
ejpam-1965	342	2	19	19	NUM
ejpam-1965	342	3	]	]	X
ejpam-1965	342	4	we	we	PRON
ejpam-1965	342	5	have	have	VERB
ejpam-1965	342	6	kq2	kq2	NOUN
ejpam-1965	342	7	=	=	SYM
ejpam-1965	342	8	q2	q2	NOUN
ejpam-1965	342	9	;	;	PUNCT
ejpam-1965	342	10	kq3	kq3	PROPN
ejpam-1965	342	11	=	=	SYM
ejpam-1965	342	12	q3	q3	PROPN
ejpam-1965	342	13	;	;	PUNCT
ejpam-1965	342	14	kp2	kp2	PROPN
ejpam-1965	342	15	=	=	SYM
ejpam-1965	342	16	p0	p0	NOUN
ejpam-1965	342	17	;	;	PUNCT
ejpam-1965	342	18	kp3	kp3	PROPN
ejpam-1965	342	19	=	=	SYM
ejpam-1965	342	20	p1	p1	PROPN
ejpam-1965	342	21	;	;	PUNCT
ejpam-1965	342	22	kd2	kd2	NOUN
ejpam-1965	342	23	=	=	SYM
ejpam-1965	342	24	d0	d0	NOUN
ejpam-1965	342	25	;	;	PUNCT
ejpam-1965	342	26	kd3	kd3	NOUN
ejpam-1965	342	27	=	=	SYM
ejpam-1965	342	28	d1	d1	PROPN
ejpam-1965	342	29	,	,	PUNCT
ejpam-1965	342	30	hence	hence	ADV
ejpam-1965	342	31	s(αk	s(αk	PROPN
ejpam-1965	342	32	)	)	PUNCT
ejpam-1965	342	33	=	=	SYM
ejpam-1965	343	1	sq	sq	NOUN
ejpam-1965	343	2	23	23	NUM
ejpam-1965	343	3	+	+	CCONJ
ejpam-1965	343	4	spd	spd	NOUN
ejpam-1965	343	5	01	01	NUM
ejpam-1965	343	6	.	.	PUNCT
ejpam-1965	344	1	by	by	ADP
ejpam-1965	344	2	lemma	lemma	PROPN
ejpam-1965	344	3	3	3	NUM
ejpam-1965	344	4	[	[	NOUN
ejpam-1965	344	5	19	19	NUM
ejpam-1965	344	6	]	]	X
ejpam-1965	344	7	we	we	PRON
ejpam-1965	344	8	note	note	VERB
ejpam-1965	344	9	that	that	SCONJ
ejpam-1965	344	10	∑	∑	PUNCT
ejpam-1965	344	11	i∈p0	i∈p0	ADJ
ejpam-1965	344	12	⋃	⋃	PROPN
ejpam-1965	344	13	p1	p1	NOUN
ejpam-1965	344	14	αi	αi	PART
ejpam-1965	344	15	=	=	PUNCT
ejpam-1965	344	16	∑	∑	PROPN
ejpam-1965	344	17	i∈p2	i∈p2	NOUN
ejpam-1965	344	18	⋃	⋃	PROPN
ejpam-1965	344	19	p3	p3	PROPN
ejpam-1965	344	20	αi	αi	VERB
ejpam-1965	344	21	+1	+1	PROPN
ejpam-1965	344	22	and	and	CCONJ
ejpam-1965	344	23	∑	∑	ADV
ejpam-1965	344	24	i∈d0	i∈d0	NOUN
ejpam-1965	344	25	⋃	⋃	PROPN
ejpam-1965	344	26	d1	d1	NOUN
ejpam-1965	344	27	αi	αi	ADV
ejpam-1965	344	28	=	=	PUNCT
ejpam-1965	344	29	∑	∑	AUX
ejpam-1965	344	30	i∈d2	i∈d2	VERB
ejpam-1965	344	31	⋃	⋃	PUNCT
ejpam-1965	344	32	d3	d3	PROPN
ejpam-1965	344	33	αi	αi	VERB
ejpam-1965	344	34	+1	+1	PROPN
ejpam-1965	344	35	,	,	PUNCT
ejpam-1965	344	36	then	then	ADV
ejpam-1965	344	37	s(αk	s(αk	PROPN
ejpam-1965	344	38	)	)	PUNCT
ejpam-1965	344	39	=	=	SYM
ejpam-1965	345	1	sq	sq	NOUN
ejpam-1965	345	2	23	23	NUM
ejpam-1965	345	3	+	+	NUM
ejpam-1965	345	4	spd	spd	NOUN
ejpam-1965	345	5	23	23	NUM
ejpam-1965	345	6	.	.	PUNCT
ejpam-1965	346	1	the	the	DET
ejpam-1965	346	2	other	other	ADJ
ejpam-1965	346	3	errors	error	NOUN
ejpam-1965	346	4	in	in	ADP
ejpam-1965	346	5	the	the	DET
ejpam-1965	346	6	table	table	NOUN
ejpam-1965	346	7	can	can	AUX
ejpam-1965	346	8	be	be	AUX
ejpam-1965	346	9	shown	show	VERB
ejpam-1965	346	10	in	in	ADP
ejpam-1965	346	11	the	the	DET
ejpam-1965	346	12	same	same	ADJ
ejpam-1965	346	13	way	way	NOUN
ejpam-1965	346	14	.	.	PUNCT
ejpam-1965	347	1	it	it	PRON
ejpam-1965	347	2	is	be	AUX
ejpam-1965	347	3	easy	easy	ADJ
ejpam-1965	347	4	to	to	PART
ejpam-1965	347	5	test	test	VERB
ejpam-1965	347	6	for	for	ADP
ejpam-1965	347	7	p	p	NOUN
ejpam-1965	347	8	=	=	SYM
ejpam-1965	347	9	5	5	NUM
ejpam-1965	347	10	,	,	PUNCT
ejpam-1965	347	11	q	q	NOUN
ejpam-1965	347	12	=	=	NOUN
ejpam-1965	347	13	13	13	NUM
ejpam-1965	347	14	.	.	PUNCT
ejpam-1965	348	1	the	the	DET
ejpam-1965	348	2	technical	technical	ADJ
ejpam-1965	348	3	errors	error	NOUN
ejpam-1965	348	4	in	in	ADP
ejpam-1965	348	5	lemma	lemma	PROPN
ejpam-1965	348	6	4	4	NUM
ejpam-1965	348	7	led	lead	VERB
ejpam-1965	348	8	to	to	ADP
ejpam-1965	348	9	wrong	wrong	ADJ
ejpam-1965	348	10	results	result	NOUN
ejpam-1965	348	11	in	in	ADP
ejpam-1965	348	12	lemma	lemma	PROPN
ejpam-1965	348	13	7	7	NUM
ejpam-1965	348	14	.	.	PUNCT
ejpam-1965	349	1	if	if	SCONJ
ejpam-1965	349	2	2	2	NUM
ejpam-1965	349	3	∈	∈	NOUN
ejpam-1965	349	4	d1	d1	NOUN
ejpam-1965	349	5	and	and	CCONJ
ejpam-1965	349	6	2(modp	2(modp	NUM
ejpam-1965	349	7	)	)	PUNCT
ejpam-1965	349	8	∈	∈	PROPN
ejpam-1965	349	9	d(p)0	d(p)0	PROPN
ejpam-1965	349	10	,	,	PUNCT
ejpam-1965	349	11	then	then	ADV
ejpam-1965	349	12	4	4	NUM
ejpam-1965	349	13	∈	∈	PROPN
ejpam-1965	349	14	d2	d2	PROPN
ejpam-1965	349	15	,	,	PUNCT
ejpam-1965	349	16	4(modp	4(modp	PROPN
ejpam-1965	349	17	)	)	PUNCT
ejpam-1965	349	18	∈	∈	PROPN
ejpam-1965	349	19	d(p)0	d(p)0	PROPN
ejpam-1965	349	20	and	and	CCONJ
ejpam-1965	349	21	s(α4	s(α4	NOUN
ejpam-1965	349	22	)	)	PUNCT
ejpam-1965	349	23	=	=	PUNCT
ejpam-1965	349	24	s4(α	s4(α	PROPN
ejpam-1965	349	25	)	)	PUNCT
ejpam-1965	349	26	=	=	SYM
ejpam-1965	349	27	s(α	s(α	NOUN
ejpam-1965	349	28	)	)	PUNCT
ejpam-1965	349	29	.	.	PUNCT
ejpam-1965	350	1	in	in	ADP
ejpam-1965	350	2	[	[	X
ejpam-1965	350	3	19	19	NUM
ejpam-1965	350	4	]	]	SYM
ejpam-1965	350	5	s(α4	s(α4	NOUN
ejpam-1965	350	6	)	)	PUNCT
ejpam-1965	350	7	=	=	SYM
ejpam-1965	350	8	s4(α	s4(α	PROPN
ejpam-1965	350	9	)	)	PUNCT
ejpam-1965	350	10	=	=	SYM
ejpam-1965	350	11	s(α	s(α	NOUN
ejpam-1965	350	12	)	)	PUNCT
ejpam-1965	350	13	+	+	CCONJ
ejpam-1965	350	14	1	1	NUM
ejpam-1965	350	15	and	and	CCONJ
ejpam-1965	350	16	authors	author	NOUN
ejpam-1965	350	17	draw	draw	VERB
ejpam-1965	350	18	a	a	DET
ejpam-1965	350	19	conclusion	conclusion	NOUN
ejpam-1965	350	20	that	that	SCONJ
ejpam-1965	350	21	s(α	s(α	NOUN
ejpam-1965	350	22	)	)	PUNCT
ejpam-1965	350	23	/∈	/∈	PUNCT
ejpam-1965	351	1	{	{	PUNCT
ejpam-1965	351	2	0	0	NUM
ejpam-1965	351	3	,	,	PUNCT
ejpam-1965	351	4	1	1	NUM
ejpam-1965	351	5	}	}	PUNCT
ejpam-1965	351	6	.	.	PUNCT
ejpam-1965	352	1	this	this	PRON
ejpam-1965	352	2	is	be	AUX
ejpam-1965	352	3	not	not	PART
ejpam-1965	352	4	true	true	ADJ
ejpam-1965	352	5	.	.	PUNCT
ejpam-1965	353	1	thus	thus	ADV
ejpam-1965	353	2	,	,	PUNCT
ejpam-1965	353	3	proof	proof	NOUN
ejpam-1965	353	4	of	of	ADP
ejpam-1965	353	5	the	the	DET
ejpam-1965	353	6	main	main	ADJ
ejpam-1965	353	7	theorems	theorem	NOUN
ejpam-1965	353	8	in	in	ADP
ejpam-1965	353	9	[	[	X
ejpam-1965	353	10	19	19	NUM
ejpam-1965	353	11	]	]	PUNCT
ejpam-1965	353	12	is	be	AUX
ejpam-1965	353	13	not	not	PART
ejpam-1965	353	14	complete	complete	ADJ
ejpam-1965	353	15	.	.	PUNCT