id	sid	tid	token	lemma	pos
ejpam-2221	1	1	european	european	PROPN
ejpam-2221	1	2	journal	journal	PROPN
ejpam-2221	1	3	of	of	ADP
ejpam-2221	1	4	pure	pure	ADJ
ejpam-2221	1	5	and	and	CCONJ
ejpam-2221	1	6	applied	apply	VERB
ejpam-2221	1	7	mathematics	mathematic	NOUN
ejpam-2221	1	8	vol	vol	NOUN
ejpam-2221	1	9	.	.	PUNCT
ejpam-2221	2	1	7	7	NUM
ejpam-2221	2	2	,	,	PUNCT
ejpam-2221	2	3	no	no	INTJ
ejpam-2221	2	4	.	.	NOUN
ejpam-2221	2	5	3	3	NUM
ejpam-2221	2	6	,	,	PUNCT
ejpam-2221	2	7	2014	2014	NUM
ejpam-2221	2	8	,	,	PUNCT
ejpam-2221	2	9	304	304	NUM
ejpam-2221	2	10	-	-	SYM
ejpam-2221	2	11	311	311	NUM
ejpam-2221	2	12	issn	issn	PROPN
ejpam-2221	2	13	1307	1307	NUM
ejpam-2221	2	14	-	-	SYM
ejpam-2221	2	15	5543	5543	NUM
ejpam-2221	2	16	–	–	PUNCT
ejpam-2221	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2221	2	18	representation	representation	NOUN
ejpam-2221	2	19	number	number	NOUN
ejpam-2221	2	20	formulae	formulae	NOUN
ejpam-2221	2	21	for	for	ADP
ejpam-2221	2	22	some	some	DET
ejpam-2221	2	23	mixed	mixed	ADJ
ejpam-2221	2	24	quadratic	quadratic	ADJ
ejpam-2221	2	25	forms	form	NOUN
ejpam-2221	2	26	bülent	bülent	NOUN
ejpam-2221	2	27	köklüce	köklüce	PROPN
ejpam-2221	2	28	faculty	faculty	NOUN
ejpam-2221	2	29	of	of	ADP
ejpam-2221	2	30	education	education	NOUN
ejpam-2221	2	31	,	,	PUNCT
ejpam-2221	2	32	fatih	fatih	PROPN
ejpam-2221	2	33	university	university	PROPN
ejpam-2221	2	34	,	,	PUNCT
ejpam-2221	2	35	istanbul	istanbul	PROPN
ejpam-2221	2	36	,	,	PUNCT
ejpam-2221	2	37	turkey	turkey	PROPN
ejpam-2221	2	38	abstract	abstract	NOUN
ejpam-2221	2	39	.	.	PUNCT
ejpam-2221	3	1	we	we	PRON
ejpam-2221	3	2	find	find	VERB
ejpam-2221	3	3	formulae	formulae	ADJ
ejpam-2221	3	4	for	for	ADP
ejpam-2221	3	5	the	the	DET
ejpam-2221	3	6	number	number	NOUN
ejpam-2221	3	7	of	of	ADP
ejpam-2221	3	8	representations	representation	NOUN
ejpam-2221	3	9	of	of	ADP
ejpam-2221	3	10	a	a	DET
ejpam-2221	3	11	positive	positive	ADJ
ejpam-2221	3	12	integer	integer	NOUN
ejpam-2221	3	13	by	by	ADP
ejpam-2221	3	14	some	some	DET
ejpam-2221	3	15	quadratic	quadratic	ADJ
ejpam-2221	3	16	forms	form	NOUN
ejpam-2221	3	17	which	which	PRON
ejpam-2221	3	18	are	be	AUX
ejpam-2221	3	19	sums	sum	NOUN
ejpam-2221	3	20	of	of	ADP
ejpam-2221	3	21	squares	square	NOUN
ejpam-2221	3	22	and	and	CCONJ
ejpam-2221	3	23	the	the	DET
ejpam-2221	3	24	form	form	NOUN
ejpam-2221	3	25	x2	x2	NOUN
ejpam-2221	3	26	1	1	NUM
ejpam-2221	4	1	+	+	NUM
ejpam-2221	4	2	x1	x1	NUM
ejpam-2221	5	1	x2	x2	PROPN
ejpam-2221	6	1	+	+	CCONJ
ejpam-2221	6	2	x2	x2	PROPN
ejpam-2221	6	3	2	2	NUM
ejpam-2221	6	4	.	.	PUNCT
ejpam-2221	7	1	2010	2010	NUM
ejpam-2221	7	2	mathematics	mathematic	NOUN
ejpam-2221	7	3	subject	subject	NOUN
ejpam-2221	7	4	classifications	classification	NOUN
ejpam-2221	7	5	:	:	PUNCT
ejpam-2221	7	6	11a25,11e25	11a25,11e25	NUM
ejpam-2221	7	7	key	key	ADJ
ejpam-2221	7	8	words	word	NOUN
ejpam-2221	7	9	and	and	CCONJ
ejpam-2221	7	10	phrases	phrase	NOUN
ejpam-2221	7	11	:	:	PUNCT
ejpam-2221	7	12	quadratic	quadratic	ADJ
ejpam-2221	7	13	forms	form	NOUN
ejpam-2221	7	14	,	,	PUNCT
ejpam-2221	7	15	representation	representation	NOUN
ejpam-2221	7	16	numbers	number	NOUN
ejpam-2221	7	17	1	1	NUM
ejpam-2221	7	18	.	.	PUNCT
ejpam-2221	8	1	introduction	introduction	NOUN
ejpam-2221	8	2	let	let	VERB
ejpam-2221	8	3	n	n	PRON
ejpam-2221	8	4	,	,	PUNCT
ejpam-2221	8	5	n0	n0	PROPN
ejpam-2221	8	6	,	,	PUNCT
ejpam-2221	8	7	z	z	PROPN
ejpam-2221	8	8	and	and	CCONJ
ejpam-2221	8	9	c	c	PROPN
ejpam-2221	8	10	denote	denote	VERB
ejpam-2221	8	11	the	the	DET
ejpam-2221	8	12	set	set	NOUN
ejpam-2221	8	13	of	of	ADP
ejpam-2221	8	14	natural	natural	ADJ
ejpam-2221	8	15	numbers	number	NOUN
ejpam-2221	8	16	,	,	PUNCT
ejpam-2221	8	17	non	non	ADJ
ejpam-2221	8	18	-	-	ADJ
ejpam-2221	8	19	negative	negative	ADJ
ejpam-2221	8	20	integers	integer	NOUN
ejpam-2221	8	21	,	,	PUNCT
ejpam-2221	8	22	integers	integer	NOUN
ejpam-2221	8	23	and	and	CCONJ
ejpam-2221	8	24	complex	complex	ADJ
ejpam-2221	8	25	numbers	number	NOUN
ejpam-2221	8	26	so	so	SCONJ
ejpam-2221	8	27	that	that	SCONJ
ejpam-2221	8	28	n0	n0	ADJ
ejpam-2221	8	29	=	=	SYM
ejpam-2221	8	30	n∪	n∪	PROPN
ejpam-2221	8	31	{	{	PUNCT
ejpam-2221	8	32	0	0	NUM
ejpam-2221	8	33	}	}	PUNCT
ejpam-2221	8	34	.	.	PUNCT
ejpam-2221	9	1	for	for	ADP
ejpam-2221	9	2	k	k	PROPN
ejpam-2221	9	3	,	,	PUNCT
ejpam-2221	9	4	n	n	PROPN
ejpam-2221	9	5	∈	∈	PROPN
ejpam-2221	9	6	n	n	CCONJ
ejpam-2221	9	7	we	we	PRON
ejpam-2221	9	8	define	define	VERB
ejpam-2221	9	9	σk(n	σk(n	NOUN
ejpam-2221	9	10	)	)	PUNCT
ejpam-2221	9	11	:	:	PUNCT
ejpam-2221	9	12	=	=	PUNCT
ejpam-2221	9	13	∑	∑	PUNCT
ejpam-2221	9	14	d∈n	d∈n	VERB
ejpam-2221	9	15	d|n	d|n	NOUN
ejpam-2221	10	1	dk	dk	INTJ
ejpam-2221	10	2	(	(	PUNCT
ejpam-2221	10	3	1	1	NUM
ejpam-2221	10	4	)	)	PUNCT
ejpam-2221	10	5	where	where	SCONJ
ejpam-2221	10	6	d	d	NOUN
ejpam-2221	10	7	runs	run	VERB
ejpam-2221	10	8	through	through	ADP
ejpam-2221	10	9	the	the	DET
ejpam-2221	10	10	positive	positive	ADJ
ejpam-2221	10	11	integers	integer	NOUN
ejpam-2221	10	12	dividing	divide	VERB
ejpam-2221	10	13	n.	n.	NOUN
ejpam-2221	10	14	we	we	PRON
ejpam-2221	10	15	write	write	VERB
ejpam-2221	10	16	σ(n	σ(n	PROPN
ejpam-2221	10	17	)	)	PUNCT
ejpam-2221	10	18	for	for	ADP
ejpam-2221	10	19	σ1(n	σ1(n	NOUN
ejpam-2221	10	20	)	)	PUNCT
ejpam-2221	10	21	=	=	SYM
ejpam-2221	10	22	∑	∑	PUNCT
ejpam-2221	10	23	d∈n	d∈n	VERB
ejpam-2221	10	24	d|n	d|n	PROPN
ejpam-2221	10	25	d.	d.	PROPN
ejpam-2221	10	26	if	if	SCONJ
ejpam-2221	10	27	n	n	PROPN
ejpam-2221	10	28	/∈	/∈	PUNCT
ejpam-2221	11	1	n	n	CCONJ
ejpam-2221	11	2	,	,	PUNCT
ejpam-2221	11	3	we	we	PRON
ejpam-2221	11	4	set	set	VERB
ejpam-2221	11	5	σk(n	σk(n	PUNCT
ejpam-2221	11	6	)	)	PUNCT
ejpam-2221	11	7	=	=	SYM
ejpam-2221	11	8	0	0	X
ejpam-2221	11	9	.	.	X
ejpam-2221	11	10	for	for	ADP
ejpam-2221	11	11	a1	a1	NOUN
ejpam-2221	11	12	,	,	PUNCT
ejpam-2221	11	13	.	.	PUNCT
ejpam-2221	11	14	.	.	PUNCT
ejpam-2221	12	1	.	.	PUNCT
ejpam-2221	13	1	,	,	PUNCT
ejpam-2221	13	2	a6	a6	NOUN
ejpam-2221	13	3	∈	∈	PROPN
ejpam-2221	13	4	n	n	CCONJ
ejpam-2221	13	5	and	and	CCONJ
ejpam-2221	13	6	n	n	CCONJ
ejpam-2221	13	7	∈	∈	PROPN
ejpam-2221	13	8	n0	n0	NOUN
ejpam-2221	13	9	we	we	PRON
ejpam-2221	13	10	define	define	VERB
ejpam-2221	13	11	m(a1	m(a1	NOUN
ejpam-2221	13	12	,	,	PUNCT
ejpam-2221	13	13	a2	a2	PROPN
ejpam-2221	13	14	,	,	PUNCT
ejpam-2221	13	15	a3	a3	NOUN
ejpam-2221	13	16	,	,	PUNCT
ejpam-2221	13	17	a4	a4	PROPN
ejpam-2221	13	18	,	,	PUNCT
ejpam-2221	13	19	a5	a5	NOUN
ejpam-2221	13	20	,	,	PUNCT
ejpam-2221	13	21	a6	a6	NOUN
ejpam-2221	13	22	;	;	PUNCT
ejpam-2221	13	23	n	n	CCONJ
ejpam-2221	13	24	)	)	PUNCT
ejpam-2221	13	25	:	:	PUNCT
ejpam-2221	13	26	=	=	VERB
ejpam-2221	13	27	card	card	NOUN
ejpam-2221	13	28			PROPN
ejpam-2221	13	29			ADP
ejpam-2221	13	30			ADJ
ejpam-2221	13	31	�	�	PROPN
ejpam-2221	13	32	x1	x1	PROPN
ejpam-2221	13	33	,	,	PUNCT
ejpam-2221	13	34	.	.	PUNCT
ejpam-2221	13	35	.	.	PUNCT
ejpam-2221	13	36	.	.	PUNCT
ejpam-2221	14	1	,	,	PUNCT
ejpam-2221	14	2	x8	x8	PROPN
ejpam-2221	14	3	�	�	PROPN
ejpam-2221	14	4	∈	∈	PROPN
ejpam-2221	14	5	z8	z8	PROPN
ejpam-2221	14	6	:	:	PUNCT
ejpam-2221	14	7	n=	n=	ADJ
ejpam-2221	14	8	a1	a1	NOUN
ejpam-2221	14	9	x2	x2	PROPN
ejpam-2221	14	10	1	1	NUM
ejpam-2221	14	11	+	+	NUM
ejpam-2221	14	12	a2	a2	PROPN
ejpam-2221	14	13	x2	x2	NOUN
ejpam-2221	14	14	2	2	NUM
ejpam-2221	14	15	+	+	NUM
ejpam-2221	14	16	a3	a3	NOUN
ejpam-2221	14	17	x2	x2	NOUN
ejpam-2221	14	18	3	3	NUM
ejpam-2221	14	19	+	+	NUM
ejpam-2221	14	20	a4	a4	NOUN
ejpam-2221	14	21	x2	x2	NOUN
ejpam-2221	14	22	4	4	NUM
ejpam-2221	14	23	+	+	NOUN
ejpam-2221	14	24	a5(x2	a5(x2	NOUN
ejpam-2221	14	25	5	5	NUM
ejpam-2221	14	26	+	+	NUM
ejpam-2221	14	27	x5	x5	PROPN
ejpam-2221	14	28	x6	x6	PROPN
ejpam-2221	14	29	+	+	CCONJ
ejpam-2221	14	30	x2	x2	PROPN
ejpam-2221	14	31	6	6	NUM
ejpam-2221	14	32	)	)	PUNCT
ejpam-2221	14	33	+	+	CCONJ
ejpam-2221	14	34	a6(x2	a6(x2	VERB
ejpam-2221	14	35	7	7	NUM
ejpam-2221	14	36	+	+	CCONJ
ejpam-2221	14	37	x7	x7	NOUN
ejpam-2221	14	38	x8	x8	NOUN
ejpam-2221	14	39	+	+	CCONJ
ejpam-2221	14	40	x2	x2	PROPN
ejpam-2221	14	41	8)	8)	NUM
ejpam-2221	14	42			PROPN
ejpam-2221	14	43			PROPN
ejpam-2221	14	44			NOUN
ejpam-2221	14	45	.	.	PUNCT
ejpam-2221	15	1	(	(	PUNCT
ejpam-2221	15	2	2	2	X
ejpam-2221	15	3	)	)	PUNCT
ejpam-2221	15	4	with	with	ADP
ejpam-2221	15	5	our	our	PRON
ejpam-2221	15	6	notation	notation	NOUN
ejpam-2221	15	7	,	,	PUNCT
ejpam-2221	15	8	the	the	DET
ejpam-2221	15	9	representation	representation	NOUN
ejpam-2221	15	10	number	number	NOUN
ejpam-2221	15	11	formulae	formulae	NOUN
ejpam-2221	15	12	for	for	ADP
ejpam-2221	15	13	m(1,1	m(1,1	NOUN
ejpam-2221	15	14	,	,	PUNCT
ejpam-2221	15	15	1,1	1,1	NUM
ejpam-2221	15	16	,	,	PUNCT
ejpam-2221	15	17	2,2	2,2	NUM
ejpam-2221	15	18	;	;	PUNCT
ejpam-2221	15	19	n	n	CCONJ
ejpam-2221	15	20	)	)	PUNCT
ejpam-2221	15	21	,	,	PUNCT
ejpam-2221	15	22	m(3	m(3	PROPN
ejpam-2221	15	23	,	,	PUNCT
ejpam-2221	15	24	3,3,3	3,3,3	PROPN
ejpam-2221	15	25	,	,	PUNCT
ejpam-2221	15	26	2,2	2,2	NUM
ejpam-2221	15	27	;	;	PUNCT
ejpam-2221	15	28	n	n	CCONJ
ejpam-2221	15	29	)	)	PUNCT
ejpam-2221	15	30	,	,	PUNCT
ejpam-2221	15	31	m(1,1	m(1,1	PROPN
ejpam-2221	15	32	,	,	PUNCT
ejpam-2221	15	33	1,1	1,1	NUM
ejpam-2221	15	34	,	,	PUNCT
ejpam-2221	15	35	1,1	1,1	NUM
ejpam-2221	15	36	;	;	PUNCT
ejpam-2221	15	37	n	n	CCONJ
ejpam-2221	15	38	)	)	PUNCT
ejpam-2221	15	39	,	,	PUNCT
ejpam-2221	15	40	m(3	m(3	PROPN
ejpam-2221	15	41	,	,	PUNCT
ejpam-2221	15	42	3,3,3	3,3,3	NOUN
ejpam-2221	15	43	,	,	PUNCT
ejpam-2221	15	44	1,1	1,1	NUM
ejpam-2221	15	45	;	;	PUNCT
ejpam-2221	15	46	n	n	CCONJ
ejpam-2221	15	47	)	)	PUNCT
ejpam-2221	15	48	,	,	PUNCT
ejpam-2221	15	49	m(1,1	m(1,1	PROPN
ejpam-2221	15	50	,	,	PUNCT
ejpam-2221	15	51	3,3	3,3	NUM
ejpam-2221	15	52	,	,	PUNCT
ejpam-2221	15	53	1,1	1,1	NUM
ejpam-2221	15	54	;	;	PUNCT
ejpam-2221	15	55	n	n	CCONJ
ejpam-2221	15	56	)	)	PUNCT
ejpam-2221	15	57	,	,	PUNCT
ejpam-2221	15	58	m(1	m(1	PROPN
ejpam-2221	15	59	,	,	PUNCT
ejpam-2221	15	60	1,3,3	1,3,3	NUM
ejpam-2221	15	61	,	,	PUNCT
ejpam-2221	15	62	2,2	2,2	NUM
ejpam-2221	15	63	;	;	PUNCT
ejpam-2221	15	64	n	n	CCONJ
ejpam-2221	15	65	)	)	PUNCT
ejpam-2221	15	66	,	,	PUNCT
ejpam-2221	15	67	m(1,1	m(1,1	PROPN
ejpam-2221	15	68	,	,	PUNCT
ejpam-2221	15	69	3,3	3,3	NUM
ejpam-2221	15	70	,	,	PUNCT
ejpam-2221	15	71	4,4	4,4	NUM
ejpam-2221	15	72	;	;	PUNCT
ejpam-2221	15	73	n	n	CCONJ
ejpam-2221	15	74	)	)	PUNCT
ejpam-2221	15	75	,	,	PUNCT
ejpam-2221	15	76	m(1	m(1	PROPN
ejpam-2221	15	77	,	,	PUNCT
ejpam-2221	15	78	1,3,3	1,3,3	NUM
ejpam-2221	15	79	,	,	PUNCT
ejpam-2221	15	80	1,2	1,2	NUM
ejpam-2221	15	81	;	;	PUNCT
ejpam-2221	15	82	n	n	CCONJ
ejpam-2221	15	83	)	)	PUNCT
ejpam-2221	15	84	,	,	PUNCT
ejpam-2221	15	85	m(1,1	m(1,1	PROPN
ejpam-2221	15	86	,	,	PUNCT
ejpam-2221	15	87	3,3	3,3	NUM
ejpam-2221	15	88	,	,	PUNCT
ejpam-2221	15	89	1,4	1,4	NUM
ejpam-2221	15	90	;	;	PUNCT
ejpam-2221	15	91	n	n	CCONJ
ejpam-2221	15	92	)	)	PUNCT
ejpam-2221	15	93	,	,	PUNCT
ejpam-2221	15	94	m(1	m(1	PROPN
ejpam-2221	15	95	,	,	PUNCT
ejpam-2221	15	96	1,3,3	1,3,3	NUM
ejpam-2221	15	97	,	,	PUNCT
ejpam-2221	15	98	2,4	2,4	NUM
ejpam-2221	15	99	;	;	PUNCT
ejpam-2221	15	100	n	n	CCONJ
ejpam-2221	15	101	)	)	PUNCT
ejpam-2221	15	102	,	,	PUNCT
ejpam-2221	15	103	m(1,1	m(1,1	PROPN
ejpam-2221	15	104	,	,	PUNCT
ejpam-2221	15	105	1,1	1,1	NUM
ejpam-2221	15	106	,	,	PUNCT
ejpam-2221	15	107	1,2	1,2	NUM
ejpam-2221	15	108	;	;	PUNCT
ejpam-2221	15	109	n	n	CCONJ
ejpam-2221	15	110	)	)	PUNCT
ejpam-2221	15	111	,	,	PUNCT
ejpam-2221	15	112	m(3	m(3	PROPN
ejpam-2221	15	113	,	,	PUNCT
ejpam-2221	15	114	3,3,3	3,3,3	NOUN
ejpam-2221	15	115	,	,	PUNCT
ejpam-2221	15	116	1,2	1,2	NUM
ejpam-2221	15	117	;	;	PUNCT
ejpam-2221	15	118	n	n	CCONJ
ejpam-2221	15	119	)	)	PUNCT
ejpam-2221	15	120	,	,	PUNCT
ejpam-2221	15	121	m(1,1	m(1,1	PROPN
ejpam-2221	15	122	,	,	PUNCT
ejpam-2221	15	123	1,1	1,1	NUM
ejpam-2221	15	124	,	,	PUNCT
ejpam-2221	15	125	1,4	1,4	NUM
ejpam-2221	15	126	;	;	PUNCT
ejpam-2221	15	127	n	n	CCONJ
ejpam-2221	15	128	)	)	PUNCT
ejpam-2221	15	129	,	,	PUNCT
ejpam-2221	15	130	m(3	m(3	PROPN
ejpam-2221	15	131	,	,	PUNCT
ejpam-2221	15	132	3,3,3	3,3,3	PROPN
ejpam-2221	15	133	,	,	PUNCT
ejpam-2221	15	134	1,4	1,4	NUM
ejpam-2221	15	135	;	;	PUNCT
ejpam-2221	15	136	n	n	CCONJ
ejpam-2221	15	137	)	)	PUNCT
ejpam-2221	15	138	,	,	PUNCT
ejpam-2221	15	139	m(1,1	m(1,1	PROPN
ejpam-2221	15	140	,	,	PUNCT
ejpam-2221	15	141	1,1	1,1	NUM
ejpam-2221	15	142	,	,	PUNCT
ejpam-2221	15	143	2,4	2,4	NUM
ejpam-2221	15	144	;	;	PUNCT
ejpam-2221	15	145	n	n	CCONJ
ejpam-2221	15	146	)	)	PUNCT
ejpam-2221	15	147	,	,	PUNCT
ejpam-2221	15	148	m(3,3	m(3,3	PROPN
ejpam-2221	15	149	,	,	PUNCT
ejpam-2221	15	150	3,3	3,3	NUM
ejpam-2221	15	151	,	,	PUNCT
ejpam-2221	15	152	2,4	2,4	NUM
ejpam-2221	15	153	;	;	PUNCT
ejpam-2221	15	154	n	n	CCONJ
ejpam-2221	15	155	)	)	PUNCT
ejpam-2221	15	156	email	email	NOUN
ejpam-2221	15	157	address	address	NOUN
ejpam-2221	15	158	:	:	PUNCT
ejpam-2221	15	159	bkokluce@fatih.edu.tr	bkokluce@fatih.edu.tr	ADJ
ejpam-2221	15	160	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2221	16	1	304	304	NUM
ejpam-2221	17	1	c	c	X
ejpam-2221	17	2	©	©	PROPN
ejpam-2221	17	3	2014	2014	NUM
ejpam-2221	17	4	ejpam	ejpam	NOUN
ejpam-2221	17	5	all	all	DET
ejpam-2221	17	6	rights	right	NOUN
ejpam-2221	17	7	reserved	reserve	VERB
ejpam-2221	17	8	.	.	PUNCT
ejpam-2221	18	1	b.	b.	PROPN
ejpam-2221	18	2	köklüce	köklüce	PROPN
ejpam-2221	18	3	/	/	SYM
ejpam-2221	18	4	eur	eur	PROPN
ejpam-2221	18	5	.	.	PUNCT
ejpam-2221	19	1	j.	j.	PROPN
ejpam-2221	19	2	pure	pure	PROPN
ejpam-2221	19	3	appl	appl	PROPN
ejpam-2221	19	4	.	.	PROPN
ejpam-2221	19	5	math	math	PROPN
ejpam-2221	19	6	,	,	PUNCT
ejpam-2221	19	7	7	7	NUM
ejpam-2221	19	8	(	(	PUNCT
ejpam-2221	19	9	2014	2014	NUM
ejpam-2221	19	10	)	)	PUNCT
ejpam-2221	19	11	,	,	PUNCT
ejpam-2221	19	12	304	304	NUM
ejpam-2221	19	13	-	-	SYM
ejpam-2221	19	14	311	311	NUM
ejpam-2221	19	15	305	305	NUM
ejpam-2221	19	16	are	be	AUX
ejpam-2221	19	17	given	give	VERB
ejpam-2221	19	18	in	in	ADP
ejpam-2221	19	19	[	[	X
ejpam-2221	19	20	5	5	NUM
ejpam-2221	19	21	]	]	PUNCT
ejpam-2221	19	22	respectively	respectively	ADV
ejpam-2221	19	23	by	by	ADP
ejpam-2221	19	24	the	the	DET
ejpam-2221	19	25	equations	equation	NOUN
ejpam-2221	19	26	from	from	ADP
ejpam-2221	19	27	(	(	PUNCT
ejpam-2221	19	28	2.10	2.10	NUM
ejpam-2221	19	29	)	)	PUNCT
ejpam-2221	19	30	to	to	ADP
ejpam-2221	19	31	(	(	PUNCT
ejpam-2221	19	32	2.25	2.25	NUM
ejpam-2221	19	33	)	)	PUNCT
ejpam-2221	19	34	.	.	PUNCT
ejpam-2221	20	1	in	in	ADP
ejpam-2221	20	2	that	that	DET
ejpam-2221	20	3	study	study	NOUN
ejpam-2221	20	4	the	the	DET
ejpam-2221	20	5	authors	author	NOUN
ejpam-2221	20	6	firstly	firstly	ADV
ejpam-2221	20	7	uses	use	VERB
ejpam-2221	20	8	the	the	DET
ejpam-2221	20	9	(	(	PUNCT
ejpam-2221	20	10	p	p	X
ejpam-2221	20	11	−	−	PROPN
ejpam-2221	20	12	k	k	NOUN
ejpam-2221	20	13	)	)	PUNCT
ejpam-2221	20	14	parametrization	parametrization	NOUN
ejpam-2221	20	15	of	of	ADP
ejpam-2221	20	16	theta	theta	NOUN
ejpam-2221	20	17	functions	function	NOUN
ejpam-2221	20	18	given	give	VERB
ejpam-2221	20	19	by	by	ADP
ejpam-2221	20	20	alaca	alaca	PROPN
ejpam-2221	20	21	,	,	PUNCT
ejpam-2221	20	22	alaca	alaca	PROPN
ejpam-2221	20	23	and	and	CCONJ
ejpam-2221	20	24	williams	williams	PROPN
ejpam-2221	20	25	to	to	PART
ejpam-2221	20	26	establish	establish	VERB
ejpam-2221	20	27	some	some	DET
ejpam-2221	20	28	new	new	ADJ
ejpam-2221	20	29	theta	theta	NOUN
ejpam-2221	20	30	function	function	NOUN
ejpam-2221	20	31	identities	identity	NOUN
ejpam-2221	20	32	and	and	CCONJ
ejpam-2221	20	33	then	then	ADV
ejpam-2221	20	34	uses	use	VERB
ejpam-2221	20	35	them	they	PRON
ejpam-2221	20	36	to	to	PART
ejpam-2221	20	37	determine	determine	VERB
ejpam-2221	20	38	formulae	formulae	NOUN
ejpam-2221	20	39	for	for	ADP
ejpam-2221	20	40	the	the	DET
ejpam-2221	20	41	number	number	NOUN
ejpam-2221	20	42	of	of	ADP
ejpam-2221	20	43	representations	representation	NOUN
ejpam-2221	20	44	of	of	ADP
ejpam-2221	20	45	positive	positive	ADJ
ejpam-2221	20	46	integers	integer	NOUN
ejpam-2221	20	47	by	by	ADP
ejpam-2221	20	48	certain	certain	ADJ
ejpam-2221	20	49	quadratic	quadratic	ADJ
ejpam-2221	20	50	forms	form	NOUN
ejpam-2221	20	51	.	.	PUNCT
ejpam-2221	21	1	the	the	DET
ejpam-2221	21	2	aim	aim	NOUN
ejpam-2221	21	3	of	of	ADP
ejpam-2221	21	4	this	this	DET
ejpam-2221	21	5	paper	paper	NOUN
ejpam-2221	21	6	is	be	AUX
ejpam-2221	21	7	to	to	PART
ejpam-2221	21	8	determine	determine	VERB
ejpam-2221	21	9	explicit	explicit	ADJ
ejpam-2221	21	10	formulae	formulae	NOUN
ejpam-2221	21	11	for	for	ADP
ejpam-2221	21	12	m(1	m(1	NOUN
ejpam-2221	21	13	,	,	PUNCT
ejpam-2221	21	14	1,2	1,2	NUM
ejpam-2221	21	15	,	,	PUNCT
ejpam-2221	21	16	2,2	2,2	NUM
ejpam-2221	21	17	,	,	PUNCT
ejpam-2221	21	18	2	2	NUM
ejpam-2221	21	19	;	;	PUNCT
ejpam-2221	21	20	n	n	CCONJ
ejpam-2221	21	21	)	)	PUNCT
ejpam-2221	21	22	,	,	PUNCT
ejpam-2221	21	23	m(2,2	m(2,2	PROPN
ejpam-2221	21	24	,	,	PUNCT
ejpam-2221	21	25	2,2	2,2	NUM
ejpam-2221	21	26	,	,	PUNCT
ejpam-2221	21	27	1,1	1,1	NUM
ejpam-2221	21	28	;	;	PUNCT
ejpam-2221	21	29	n	n	CCONJ
ejpam-2221	21	30	)	)	PUNCT
ejpam-2221	21	31	,	,	PUNCT
ejpam-2221	21	32	m(3	m(3	PROPN
ejpam-2221	21	33	,	,	PUNCT
ejpam-2221	21	34	3,6	3,6	NUM
ejpam-2221	21	35	,	,	PUNCT
ejpam-2221	21	36	6,4	6,4	NUM
ejpam-2221	21	37	,	,	PUNCT
ejpam-2221	21	38	4	4	NUM
ejpam-2221	21	39	;	;	PUNCT
ejpam-2221	21	40	n	n	CCONJ
ejpam-2221	21	41	)	)	PUNCT
ejpam-2221	21	42	,	,	PUNCT
ejpam-2221	21	43	m(1,1	m(1,1	PROPN
ejpam-2221	21	44	,	,	PUNCT
ejpam-2221	21	45	1,1	1,1	NUM
ejpam-2221	21	46	,	,	PUNCT
ejpam-2221	21	47	6,6	6,6	NUM
ejpam-2221	21	48	;	;	PUNCT
ejpam-2221	21	49	n	n	CCONJ
ejpam-2221	21	50	)	)	PUNCT
ejpam-2221	21	51	,	,	PUNCT
ejpam-2221	21	52	m(3	m(3	PROPN
ejpam-2221	21	53	,	,	PUNCT
ejpam-2221	21	54	3,6	3,6	NUM
ejpam-2221	21	55	,	,	PUNCT
ejpam-2221	21	56	6,2	6,2	NUM
ejpam-2221	21	57	,	,	PUNCT
ejpam-2221	21	58	2	2	NUM
ejpam-2221	21	59	;	;	PUNCT
ejpam-2221	21	60	n	n	CCONJ
ejpam-2221	21	61	)	)	PUNCT
ejpam-2221	21	62	,	,	PUNCT
ejpam-2221	21	63	m(1,1	m(1,1	PROPN
ejpam-2221	21	64	,	,	PUNCT
ejpam-2221	21	65	2,2	2,2	NUM
ejpam-2221	21	66	,	,	PUNCT
ejpam-2221	21	67	1,1	1,1	NUM
ejpam-2221	21	68	;	;	PUNCT
ejpam-2221	21	69	n	n	CCONJ
ejpam-2221	21	70	)	)	PUNCT
ejpam-2221	21	71	,	,	PUNCT
ejpam-2221	21	72	m(1	m(1	NOUN
ejpam-2221	21	73	,	,	PUNCT
ejpam-2221	21	74	1,2	1,2	NUM
ejpam-2221	21	75	,	,	PUNCT
ejpam-2221	21	76	2,4	2,4	NUM
ejpam-2221	21	77	,	,	PUNCT
ejpam-2221	21	78	4	4	NUM
ejpam-2221	21	79	;	;	PUNCT
ejpam-2221	21	80	n	n	CCONJ
ejpam-2221	21	81	)	)	PUNCT
ejpam-2221	21	82	,	,	PUNCT
ejpam-2221	21	83	m(3,3	m(3,3	PROPN
ejpam-2221	21	84	,	,	PUNCT
ejpam-2221	21	85	6,6	6,6	NUM
ejpam-2221	21	86	,	,	PUNCT
ejpam-2221	21	87	1,1	1,1	NUM
ejpam-2221	21	88	;	;	PUNCT
ejpam-2221	21	89	n	n	CCONJ
ejpam-2221	21	90	)	)	PUNCT
ejpam-2221	21	91	,	,	PUNCT
ejpam-2221	21	92	m(1	m(1	PROPN
ejpam-2221	21	93	,	,	PUNCT
ejpam-2221	21	94	1,3	1,3	NUM
ejpam-2221	21	95	,	,	PUNCT
ejpam-2221	21	96	3,6	3,6	NUM
ejpam-2221	21	97	,	,	PUNCT
ejpam-2221	21	98	6	6	NUM
ejpam-2221	21	99	;	;	PUNCT
ejpam-2221	21	100	n	n	CCONJ
ejpam-2221	21	101	)	)	PUNCT
ejpam-2221	21	102	,	,	PUNCT
ejpam-2221	21	103	m(1,2	m(1,2	PROPN
ejpam-2221	21	104	,	,	PUNCT
ejpam-2221	21	105	2,4	2,4	NUM
ejpam-2221	21	106	,	,	PUNCT
ejpam-2221	21	107	2,2	2,2	NUM
ejpam-2221	21	108	;	;	PUNCT
ejpam-2221	21	109	n	n	CCONJ
ejpam-2221	21	110	)	)	PUNCT
ejpam-2221	21	111	,	,	PUNCT
ejpam-2221	21	112	m(1	m(1	PROPN
ejpam-2221	21	113	,	,	PUNCT
ejpam-2221	21	114	2,2	2,2	NUM
ejpam-2221	21	115	,	,	PUNCT
ejpam-2221	21	116	4,4,4	4,4,4	NUM
ejpam-2221	21	117	;	;	PUNCT
ejpam-2221	21	118	n	n	CCONJ
ejpam-2221	21	119	)	)	PUNCT
ejpam-2221	21	120	.	.	PUNCT
ejpam-2221	22	1	we	we	PRON
ejpam-2221	22	2	use	use	VERB
ejpam-2221	22	3	some	some	DET
ejpam-2221	22	4	known	know	VERB
ejpam-2221	22	5	representation	representation	NOUN
ejpam-2221	22	6	number	number	NOUN
ejpam-2221	22	7	formulae	formulae	NOUN
ejpam-2221	22	8	for	for	ADP
ejpam-2221	22	9	quaternary	quaternary	ADJ
ejpam-2221	22	10	quadratic	quadratic	ADJ
ejpam-2221	22	11	forms	form	NOUN
ejpam-2221	22	12	and	and	CCONJ
ejpam-2221	22	13	convolutions	convolution	NOUN
ejpam-2221	22	14	sums	sum	NOUN
ejpam-2221	22	15	of	of	ADP
ejpam-2221	22	16	divisors	divisor	NOUN
ejpam-2221	22	17	.	.	PUNCT
ejpam-2221	23	1	the	the	DET
ejpam-2221	23	2	method	method	NOUN
ejpam-2221	23	3	firstly	firstly	ADV
ejpam-2221	23	4	have	have	AUX
ejpam-2221	23	5	been	be	AUX
ejpam-2221	23	6	used	use	VERB
ejpam-2221	23	7	by	by	ADP
ejpam-2221	23	8	alaca	alaca	PROPN
ejpam-2221	23	9	,	,	PUNCT
ejpam-2221	23	10	alaca	alaca	PROPN
ejpam-2221	23	11	and	and	CCONJ
ejpam-2221	23	12	williams	williams	PROPN
ejpam-2221	23	13	.	.	PUNCT
ejpam-2221	24	1	the	the	DET
ejpam-2221	24	2	quadratic	quadratic	ADJ
ejpam-2221	24	3	forms	form	NOUN
ejpam-2221	24	4	considered	consider	VERB
ejpam-2221	24	5	here	here	ADV
ejpam-2221	24	6	have	have	AUX
ejpam-2221	24	7	not	not	PART
ejpam-2221	24	8	been	be	AUX
ejpam-2221	24	9	considered	consider	VERB
ejpam-2221	24	10	before	before	ADV
ejpam-2221	24	11	.	.	PUNCT
ejpam-2221	25	1	as	as	ADP
ejpam-2221	25	2	in	in	ADP
ejpam-2221	25	3	[	[	X
ejpam-2221	25	4	5	5	NUM
ejpam-2221	25	5	]	]	PUNCT
ejpam-2221	25	6	the	the	DET
ejpam-2221	25	7	formulae	formulae	NOUN
ejpam-2221	25	8	are	be	AUX
ejpam-2221	25	9	given	give	VERB
ejpam-2221	25	10	in	in	ADP
ejpam-2221	25	11	terms	term	NOUN
ejpam-2221	25	12	of	of	ADP
ejpam-2221	25	13	σ3(n	σ3(n	NOUN
ejpam-2221	25	14	)	)	PUNCT
ejpam-2221	25	15	and	and	CCONJ
ejpam-2221	25	16	the	the	DET
ejpam-2221	25	17	numbers	number	NOUN
ejpam-2221	25	18	c1,6(n	c1,6(n	PROPN
ejpam-2221	25	19	)	)	PUNCT
ejpam-2221	25	20	,	,	PUNCT
ejpam-2221	25	21	c1,8(n	c1,8(n	NOUN
ejpam-2221	25	22	)	)	PUNCT
ejpam-2221	25	23	,	,	PUNCT
ejpam-2221	25	24	c1,12(n	c1,12(n	PROPN
ejpam-2221	25	25	)	)	PUNCT
ejpam-2221	25	26	,	,	PUNCT
ejpam-2221	25	27	c3,4(n	c3,4(n	PROPN
ejpam-2221	25	28	)	)	PUNCT
ejpam-2221	25	29	,	,	PUNCT
ejpam-2221	25	30	c1,18(n	c1,18(n	X
ejpam-2221	25	31	)	)	PUNCT
ejpam-2221	25	32	,	,	PUNCT
ejpam-2221	25	33	c2,9(n	c2,9(n	NOUN
ejpam-2221	25	34	)	)	PUNCT
ejpam-2221	25	35	,	,	PUNCT
ejpam-2221	25	36	c1,24(n	c1,24(n	PROPN
ejpam-2221	25	37	)	)	PUNCT
ejpam-2221	25	38	,	,	PUNCT
ejpam-2221	25	39	c3,8(n	c3,8(n	NOUN
ejpam-2221	25	40	)	)	PUNCT
ejpam-2221	25	41	.	.	PUNCT
ejpam-2221	26	1	the	the	DET
ejpam-2221	26	2	representation	representation	NOUN
ejpam-2221	26	3	numbers	number	NOUN
ejpam-2221	26	4	for	for	ADP
ejpam-2221	26	5	the	the	DET
ejpam-2221	26	6	quaternary	quaternary	ADJ
ejpam-2221	26	7	quadratic	quadratic	ADJ
ejpam-2221	26	8	forms	form	NOUN
ejpam-2221	26	9	f1	f1	NOUN
ejpam-2221	26	10	:	:	PUNCT
ejpam-2221	26	11	=	=	SYM
ejpam-2221	26	12	x2	x2	NOUN
ejpam-2221	26	13	1	1	NUM
ejpam-2221	26	14	+	+	NUM
ejpam-2221	26	15	x2	x2	PROPN
ejpam-2221	26	16	2	2	NUM
ejpam-2221	26	17	+	+	NUM
ejpam-2221	26	18	x2	x2	PROPN
ejpam-2221	26	19	3	3	NUM
ejpam-2221	26	20	+	+	NUM
ejpam-2221	26	21	x2	x2	PROPN
ejpam-2221	26	22	4	4	NUM
ejpam-2221	26	23	,	,	PUNCT
ejpam-2221	26	24	(	(	PUNCT
ejpam-2221	26	25	3	3	X
ejpam-2221	26	26	)	)	PUNCT
ejpam-2221	26	27	f2	f2	NOUN
ejpam-2221	26	28	:	:	PUNCT
ejpam-2221	26	29	=	=	SYM
ejpam-2221	26	30	x2	x2	NOUN
ejpam-2221	26	31	1	1	NUM
ejpam-2221	26	32	+	+	NUM
ejpam-2221	26	33	x2	x2	PROPN
ejpam-2221	26	34	2	2	NUM
ejpam-2221	26	35	+	+	NUM
ejpam-2221	26	36	2x2	2x2	NUM
ejpam-2221	26	37	3	3	NUM
ejpam-2221	26	38	+	+	CCONJ
ejpam-2221	26	39	2x2	2x2	NUM
ejpam-2221	26	40	4	4	NUM
ejpam-2221	26	41	,	,	PUNCT
ejpam-2221	26	42	(	(	PUNCT
ejpam-2221	26	43	4	4	X
ejpam-2221	26	44	)	)	PUNCT
ejpam-2221	26	45	f3	f3	NOUN
ejpam-2221	26	46	:	:	PUNCT
ejpam-2221	27	1	=	=	SYM
ejpam-2221	27	2	x2	x2	NOUN
ejpam-2221	27	3	1	1	NUM
ejpam-2221	27	4	+	+	NUM
ejpam-2221	27	5	x2	x2	PROPN
ejpam-2221	27	6	2	2	NUM
ejpam-2221	27	7	+	+	NUM
ejpam-2221	27	8	3x2	3x2	NUM
ejpam-2221	27	9	3	3	NUM
ejpam-2221	27	10	+	+	SYM
ejpam-2221	27	11	3x2	3x2	NUM
ejpam-2221	27	12	4	4	NUM
ejpam-2221	27	13	,	,	PUNCT
ejpam-2221	27	14	(	(	PUNCT
ejpam-2221	27	15	5	5	NUM
ejpam-2221	27	16	)	)	PUNCT
ejpam-2221	27	17	f4	f4	NOUN
ejpam-2221	27	18	:	:	PUNCT
ejpam-2221	27	19	=	=	SYM
ejpam-2221	27	20	x2	x2	ADJ
ejpam-2221	27	21	1	1	NUM
ejpam-2221	27	22	+	+	NUM
ejpam-2221	27	23	2x2	2x2	NUM
ejpam-2221	27	24	2	2	NUM
ejpam-2221	27	25	+	+	CCONJ
ejpam-2221	27	26	2x2	2x2	NUM
ejpam-2221	27	27	3	3	NUM
ejpam-2221	27	28	+	+	CCONJ
ejpam-2221	27	29	4x2	4x2	NUM
ejpam-2221	27	30	4	4	NUM
ejpam-2221	27	31	,	,	PUNCT
ejpam-2221	27	32	(	(	PUNCT
ejpam-2221	27	33	6	6	X
ejpam-2221	27	34	)	)	PUNCT
ejpam-2221	27	35	f5	f5	NOUN
ejpam-2221	27	36	:	:	PUNCT
ejpam-2221	27	37	=	=	SYM
ejpam-2221	27	38	x2	x2	NOUN
ejpam-2221	27	39	1	1	NUM
ejpam-2221	27	40	+	+	NUM
ejpam-2221	27	41	x1	x1	NUM
ejpam-2221	28	1	x2	x2	NOUN
ejpam-2221	29	1	+	+	CCONJ
ejpam-2221	29	2	x2	x2	PROPN
ejpam-2221	29	3	2	2	NUM
ejpam-2221	30	1	+	+	NUM
ejpam-2221	30	2	x2	x2	PROPN
ejpam-2221	30	3	3	3	NUM
ejpam-2221	30	4	+	+	CCONJ
ejpam-2221	30	5	x3	x3	PROPN
ejpam-2221	30	6	x4	x4	PROPN
ejpam-2221	31	1	+	+	CCONJ
ejpam-2221	31	2	x2	x2	PROPN
ejpam-2221	31	3	4	4	NUM
ejpam-2221	31	4	,	,	PUNCT
ejpam-2221	31	5	(	(	PUNCT
ejpam-2221	31	6	7	7	X
ejpam-2221	31	7	)	)	PUNCT
ejpam-2221	31	8	have	have	AUX
ejpam-2221	31	9	been	be	AUX
ejpam-2221	31	10	determined	determine	VERB
ejpam-2221	31	11	before	before	ADV
ejpam-2221	31	12	.	.	PUNCT
ejpam-2221	32	1	for	for	ADP
ejpam-2221	32	2	l	l	PROPN
ejpam-2221	32	3	∈	∈	PROPN
ejpam-2221	32	4	n0	n0	NOUN
ejpam-2221	32	5	,	,	PUNCT
ejpam-2221	32	6	if	if	SCONJ
ejpam-2221	32	7	we	we	PRON
ejpam-2221	32	8	set	set	VERB
ejpam-2221	32	9	ri(l	ri(l	NOUN
ejpam-2221	32	10	)	)	PUNCT
ejpam-2221	32	11	=	=	VERB
ejpam-2221	32	12	card	card	NOUN
ejpam-2221	32	13	�	�	PROPN
ejpam-2221	32	14	�	�	PROPN
ejpam-2221	32	15	x1	x1	PROPN
ejpam-2221	32	16	,	,	PUNCT
ejpam-2221	32	17	.	.	PUNCT
ejpam-2221	32	18	.	.	PUNCT
ejpam-2221	32	19	.	.	PUNCT
ejpam-2221	33	1	,	,	PUNCT
ejpam-2221	33	2	x4	x4	PROPN
ejpam-2221	33	3	�	�	PROPN
ejpam-2221	33	4	∈	∈	PROPN
ejpam-2221	33	5	z4	z4	X
ejpam-2221	33	6	:	:	PUNCT
ejpam-2221	33	7	l	l	X
ejpam-2221	33	8	=	=	SYM
ejpam-2221	33	9	fi(x1	fi(x1	ADJ
ejpam-2221	33	10	,	,	PUNCT
ejpam-2221	33	11	x2	x2	PROPN
ejpam-2221	33	12	,	,	PUNCT
ejpam-2221	33	13	x3	x3	ADJ
ejpam-2221	33	14	,	,	PUNCT
ejpam-2221	33	15	x4	x4	PROPN
ejpam-2221	33	16	)	)	PUNCT
ejpam-2221	33	17	then	then	ADV
ejpam-2221	33	18	clearly	clearly	ADV
ejpam-2221	33	19	ri(0	ri(0	X
ejpam-2221	33	20	)	)	PUNCT
ejpam-2221	33	21	=	=	SYM
ejpam-2221	33	22	1	1	NUM
ejpam-2221	33	23	for	for	ADP
ejpam-2221	33	24	each	each	DET
ejpam-2221	33	25	i	i	PRON
ejpam-2221	33	26	∈	∈	PROPN
ejpam-2221	33	27	{	{	PUNCT
ejpam-2221	33	28	1,2	1,2	NUM
ejpam-2221	33	29	,	,	PUNCT
ejpam-2221	33	30	3,4	3,4	NUM
ejpam-2221	33	31	,	,	PUNCT
ejpam-2221	33	32	5	5	NUM
ejpam-2221	33	33	}	}	PUNCT
ejpam-2221	33	34	.	.	PUNCT
ejpam-2221	34	1	it	it	PRON
ejpam-2221	34	2	is	be	AUX
ejpam-2221	34	3	known	know	VERB
ejpam-2221	34	4	(	(	PUNCT
ejpam-2221	34	5	see	see	VERB
ejpam-2221	34	6	for	for	ADP
ejpam-2221	34	7	example	example	NOUN
ejpam-2221	34	8	[	[	X
ejpam-2221	34	9	4	4	X
ejpam-2221	34	10	]	]	PUNCT
ejpam-2221	34	11	for	for	ADP
ejpam-2221	34	12	the	the	DET
ejpam-2221	34	13	first	first	ADJ
ejpam-2221	34	14	four	four	NUM
ejpam-2221	34	15	and	and	CCONJ
ejpam-2221	34	16	[	[	X
ejpam-2221	34	17	7	7	X
ejpam-2221	34	18	]	]	PUNCT
ejpam-2221	34	19	for	for	ADP
ejpam-2221	34	20	the	the	DET
ejpam-2221	34	21	last	last	ADJ
ejpam-2221	34	22	one	one	NUM
ejpam-2221	34	23	)	)	PUNCT
ejpam-2221	35	1	that	that	SCONJ
ejpam-2221	35	2	for	for	ADP
ejpam-2221	35	3	l	l	PROPN
ejpam-2221	35	4	∈	∈	PROPN
ejpam-2221	35	5	n	n	CCONJ
ejpam-2221	35	6	,	,	PUNCT
ejpam-2221	35	7	r1(l	r1(l	PRON
ejpam-2221	35	8	)	)	PUNCT
ejpam-2221	35	9	=	=	NOUN
ejpam-2221	35	10	8σ(l)−	8σ(l)−	NUM
ejpam-2221	35	11	32σ	32σ	NOUN
ejpam-2221	35	12	(	(	PUNCT
ejpam-2221	35	13	l	l	NOUN
ejpam-2221	35	14	4	4	NUM
ejpam-2221	35	15	)	)	PUNCT
ejpam-2221	35	16	,	,	PUNCT
ejpam-2221	35	17	(	(	PUNCT
ejpam-2221	35	18	8)	8)	NUM
ejpam-2221	35	19	r2(l	r2(l	NOUN
ejpam-2221	35	20	)	)	PUNCT
ejpam-2221	35	21	=	=	NOUN
ejpam-2221	35	22	4σ(l)−	4σ(l)−	NUM
ejpam-2221	35	23	4σ	4σ	NUM
ejpam-2221	35	24	(	(	PUNCT
ejpam-2221	35	25	l	l	NOUN
ejpam-2221	35	26	2	2	NUM
ejpam-2221	35	27	)	)	PUNCT
ejpam-2221	35	28	+	+	NUM
ejpam-2221	35	29	8σ	8σ	NOUN
ejpam-2221	35	30	(	(	PUNCT
ejpam-2221	35	31	l	l	NOUN
ejpam-2221	35	32	4	4	NUM
ejpam-2221	35	33	)	)	PUNCT
ejpam-2221	35	34	−	−	PROPN
ejpam-2221	35	35	32σ	32σ	NOUN
ejpam-2221	35	36	(	(	PUNCT
ejpam-2221	35	37	l	l	NOUN
ejpam-2221	35	38	8	8	NUM
ejpam-2221	35	39	)	)	PUNCT
ejpam-2221	35	40	,	,	PUNCT
ejpam-2221	35	41	(	(	PUNCT
ejpam-2221	35	42	9	9	X
ejpam-2221	35	43	)	)	PUNCT
ejpam-2221	35	44	r3(l	r3(l	NOUN
ejpam-2221	35	45	)	)	PUNCT
ejpam-2221	35	46	=	=	NOUN
ejpam-2221	35	47	4σ(l)−	4σ(l)−	NUM
ejpam-2221	35	48	8σ	8σ	NOUN
ejpam-2221	35	49	(	(	PUNCT
ejpam-2221	35	50	l	l	NOUN
ejpam-2221	35	51	2	2	NUM
ejpam-2221	35	52	)	)	PUNCT
ejpam-2221	35	53	−	−	NOUN
ejpam-2221	35	54	12σ	12σ	NOUN
ejpam-2221	35	55	(	(	PUNCT
ejpam-2221	35	56	l	l	NOUN
ejpam-2221	35	57	3	3	NUM
ejpam-2221	35	58	)	)	PUNCT
ejpam-2221	35	59	+	+	NUM
ejpam-2221	35	60	16σ	16σ	NUM
ejpam-2221	35	61	(	(	PUNCT
ejpam-2221	35	62	l	l	NOUN
ejpam-2221	35	63	4	4	NUM
ejpam-2221	35	64	)	)	PUNCT
ejpam-2221	35	65	+	+	NUM
ejpam-2221	35	66	24σ	24σ	NUM
ejpam-2221	35	67	(	(	PUNCT
ejpam-2221	35	68	l	l	PROPN
ejpam-2221	35	69	6	6	NUM
ejpam-2221	35	70	)	)	PUNCT
ejpam-2221	35	71	−	−	PROPN
ejpam-2221	35	72	48σ	48σ	NOUN
ejpam-2221	35	73	(	(	PUNCT
ejpam-2221	35	74	l	l	NOUN
ejpam-2221	35	75	12	12	NUM
ejpam-2221	35	76	)	)	PUNCT
ejpam-2221	35	77	,	,	PUNCT
ejpam-2221	35	78	(	(	PUNCT
ejpam-2221	35	79	10	10	NUM
ejpam-2221	35	80	)	)	PUNCT
ejpam-2221	35	81	r4(l	r4(l	NOUN
ejpam-2221	35	82	)	)	PUNCT
ejpam-2221	35	83	=	=	NOUN
ejpam-2221	35	84	2σ(l)−	2σ(l)−	NUM
ejpam-2221	35	85	2σ	2σ	NOUN
ejpam-2221	35	86	(	(	PUNCT
ejpam-2221	35	87	l	l	NOUN
ejpam-2221	35	88	2	2	NUM
ejpam-2221	35	89	)	)	PUNCT
ejpam-2221	35	90	+	+	NUM
ejpam-2221	35	91	8σ	8σ	NOUN
ejpam-2221	35	92	(	(	PUNCT
ejpam-2221	35	93	l	l	NOUN
ejpam-2221	35	94	8	8	NUM
ejpam-2221	35	95	)	)	PUNCT
ejpam-2221	35	96	−	−	PROPN
ejpam-2221	35	97	32σ	32σ	NOUN
ejpam-2221	35	98	(	(	PUNCT
ejpam-2221	35	99	l	l	PROPN
ejpam-2221	35	100	16	16	NUM
ejpam-2221	35	101	)	)	PUNCT
ejpam-2221	35	102	,	,	PUNCT
ejpam-2221	35	103	(	(	PUNCT
ejpam-2221	35	104	11	11	NUM
ejpam-2221	35	105	)	)	PUNCT
ejpam-2221	35	106	r5(l	r5(l	NOUN
ejpam-2221	35	107	)	)	PUNCT
ejpam-2221	35	108	=	=	NOUN
ejpam-2221	35	109	12σ(l)−	12σ(l)−	NUM
ejpam-2221	35	110	36σ	36σ	NUM
ejpam-2221	35	111	(	(	PUNCT
ejpam-2221	35	112	l	l	NOUN
ejpam-2221	35	113	3	3	NUM
ejpam-2221	35	114	)	)	PUNCT
ejpam-2221	35	115	.	.	PUNCT
ejpam-2221	36	1	(	(	PUNCT
ejpam-2221	36	2	12	12	NUM
ejpam-2221	36	3	)	)	PUNCT
ejpam-2221	36	4	for	for	ADP
ejpam-2221	36	5	r	r	NOUN
ejpam-2221	36	6	,	,	PUNCT
ejpam-2221	36	7	s	s	X
ejpam-2221	36	8	,	,	PUNCT
ejpam-2221	36	9	n	n	PRON
ejpam-2221	36	10	∈	∈	PROPN
ejpam-2221	36	11	n	n	NOUN
ejpam-2221	36	12	with	with	ADP
ejpam-2221	36	13	r	r	NOUN
ejpam-2221	36	14	≤	≤	NUM
ejpam-2221	36	15	s	s	VERB
ejpam-2221	36	16	the	the	DET
ejpam-2221	36	17	convolution	convolution	NOUN
ejpam-2221	36	18	sum	sum	NOUN
ejpam-2221	36	19	wr	wr	PROPN
ejpam-2221	36	20	,	,	PUNCT
ejpam-2221	36	21	s(n	s(n	PROPN
ejpam-2221	36	22	)	)	PUNCT
ejpam-2221	36	23	is	be	AUX
ejpam-2221	36	24	defined	define	VERB
ejpam-2221	36	25	by	by	ADP
ejpam-2221	36	26	wr	wr	PROPN
ejpam-2221	36	27	,	,	PUNCT
ejpam-2221	36	28	s(n	s(n	PROPN
ejpam-2221	36	29	)	)	PUNCT
ejpam-2221	36	30	:	:	PUNCT
ejpam-2221	37	1	=	=	PUNCT
ejpam-2221	37	2	∑	∑	PUNCT
ejpam-2221	37	3	(	(	PUNCT
ejpam-2221	37	4	l	l	NOUN
ejpam-2221	37	5	,	,	PUNCT
ejpam-2221	37	6	m)∈n2	m)∈n2	ADJ
ejpam-2221	37	7	0	0	NUM
ejpam-2221	37	8	r	r	NOUN
ejpam-2221	37	9	l+sm	l+sm	NOUN
ejpam-2221	37	10	=	=	NOUN
ejpam-2221	37	11	n	n	NOUN
ejpam-2221	37	12	σ(l)σ(m	σ(l)σ(m	NUM
ejpam-2221	37	13	)	)	PUNCT
ejpam-2221	37	14	.	.	PUNCT
ejpam-2221	38	1	b.	b.	PROPN
ejpam-2221	38	2	köklüce	köklüce	PROPN
ejpam-2221	38	3	/	/	SYM
ejpam-2221	38	4	eur	eur	PROPN
ejpam-2221	38	5	.	.	PUNCT
ejpam-2221	39	1	j.	j.	PROPN
ejpam-2221	39	2	pure	pure	PROPN
ejpam-2221	39	3	appl	appl	PROPN
ejpam-2221	39	4	.	.	PROPN
ejpam-2221	39	5	math	math	PROPN
ejpam-2221	39	6	,	,	PUNCT
ejpam-2221	39	7	7	7	NUM
ejpam-2221	39	8	(	(	PUNCT
ejpam-2221	39	9	2014	2014	NUM
ejpam-2221	39	10	)	)	PUNCT
ejpam-2221	39	11	,	,	PUNCT
ejpam-2221	39	12	304	304	NUM
ejpam-2221	39	13	-	-	SYM
ejpam-2221	39	14	311	311	NUM
ejpam-2221	39	15	306	306	NUM
ejpam-2221	39	16	the	the	DET
ejpam-2221	39	17	sum	sum	NOUN
ejpam-2221	39	18	wr	wr	PROPN
ejpam-2221	39	19	,	,	PUNCT
ejpam-2221	39	20	s(n	s(n	PROPN
ejpam-2221	39	21	)	)	PUNCT
ejpam-2221	39	22	has	have	AUX
ejpam-2221	39	23	been	be	AUX
ejpam-2221	39	24	evaluated	evaluate	VERB
ejpam-2221	39	25	for	for	ADP
ejpam-2221	39	26	certain	certain	ADJ
ejpam-2221	39	27	values	value	NOUN
ejpam-2221	39	28	,	,	PUNCT
ejpam-2221	39	29	see	see	VERB
ejpam-2221	39	30	[	[	X
ejpam-2221	39	31	6	6	NUM
ejpam-2221	39	32	,	,	PUNCT
ejpam-2221	39	33	7	7	NUM
ejpam-2221	39	34	,	,	PUNCT
ejpam-2221	39	35	10	10	NUM
ejpam-2221	39	36	]	]	PUNCT
ejpam-2221	39	37	for	for	ADP
ejpam-2221	39	38	w1,1(n	w1,1(n	NOUN
ejpam-2221	39	39	)	)	PUNCT
ejpam-2221	39	40	,	,	PUNCT
ejpam-2221	40	1	[	[	X
ejpam-2221	40	2	7	7	X
ejpam-2221	40	3	]	]	PUNCT
ejpam-2221	40	4	for	for	ADP
ejpam-2221	40	5	w1,2(n	w1,2(n	PROPN
ejpam-2221	40	6	)	)	PUNCT
ejpam-2221	40	7	and	and	CCONJ
ejpam-2221	40	8	w1,4(n	w1,4(n	PROPN
ejpam-2221	40	9	)	)	PUNCT
ejpam-2221	40	10	,	,	PUNCT
ejpam-2221	41	1	[	[	X
ejpam-2221	41	2	7–9	7–9	NUM
ejpam-2221	41	3	,	,	PUNCT
ejpam-2221	41	4	11	11	NUM
ejpam-2221	41	5	]	]	PUNCT
ejpam-2221	41	6	for	for	ADP
ejpam-2221	41	7	w1,3(n	w1,3(n	NOUN
ejpam-2221	41	8	)	)	PUNCT
ejpam-2221	41	9	,	,	PUNCT
ejpam-2221	42	1	[	[	X
ejpam-2221	42	2	3	3	X
ejpam-2221	42	3	]	]	PUNCT
ejpam-2221	42	4	for	for	ADP
ejpam-2221	42	5	w1,6(n	w1,6(n	PROPN
ejpam-2221	42	6	)	)	PUNCT
ejpam-2221	42	7	and	and	CCONJ
ejpam-2221	42	8	w2,3(n	w2,3(n	NOUN
ejpam-2221	42	9	)	)	PUNCT
ejpam-2221	42	10	,	,	PUNCT
ejpam-2221	43	1	[	[	X
ejpam-2221	43	2	12	12	NUM
ejpam-2221	43	3	]	]	PUNCT
ejpam-2221	43	4	for	for	ADP
ejpam-2221	43	5	w1,8(n	w1,8(n	NOUN
ejpam-2221	43	6	)	)	PUNCT
ejpam-2221	43	7	,	,	PUNCT
ejpam-2221	44	1	[	[	X
ejpam-2221	44	2	1	1	X
ejpam-2221	44	3	]	]	PUNCT
ejpam-2221	44	4	for	for	ADP
ejpam-2221	44	5	w1,12(n	w1,12(n	NOUN
ejpam-2221	44	6	)	)	PUNCT
ejpam-2221	44	7	and	and	CCONJ
ejpam-2221	44	8	w3,4(n	w3,4(n	PROPN
ejpam-2221	44	9	)	)	PUNCT
ejpam-2221	44	10	,	,	PUNCT
ejpam-2221	44	11	and	and	CCONJ
ejpam-2221	44	12	[	[	X
ejpam-2221	44	13	2	2	NUM
ejpam-2221	44	14	]	]	PUNCT
ejpam-2221	44	15	for	for	ADP
ejpam-2221	44	16	w1,24(n	w1,24(n	PROPN
ejpam-2221	44	17	)	)	PUNCT
ejpam-2221	44	18	and	and	CCONJ
ejpam-2221	44	19	w3,8(n	w3,8(n	NOUN
ejpam-2221	44	20	)	)	PUNCT
ejpam-2221	44	21	.	.	PUNCT
ejpam-2221	45	1	theorem	theorem	NOUN
ejpam-2221	45	2	1	1	NUM
ejpam-2221	45	3	.	.	PUNCT
ejpam-2221	46	1	let	let	VERB
ejpam-2221	46	2	n	n	PRON
ejpam-2221	46	3	∈	∈	VERB
ejpam-2221	47	1	n	n	CCONJ
ejpam-2221	47	2	then	then	ADV
ejpam-2221	47	3	,	,	PUNCT
ejpam-2221	47	4	(	(	PUNCT
ejpam-2221	47	5	i	i	NOUN
ejpam-2221	47	6	)	)	PUNCT
ejpam-2221	47	7	m(1,1	m(1,1	PROPN
ejpam-2221	47	8	,	,	PUNCT
ejpam-2221	47	9	2,2	2,2	NUM
ejpam-2221	47	10	,	,	PUNCT
ejpam-2221	47	11	2,2	2,2	NUM
ejpam-2221	47	12	;	;	PUNCT
ejpam-2221	47	13	n	n	CCONJ
ejpam-2221	47	14	)	)	PUNCT
ejpam-2221	47	15	=	=	SYM
ejpam-2221	47	16	14	14	NUM
ejpam-2221	47	17	5	5	NUM
ejpam-2221	47	18	σ3(n)−	σ3(n)−	SYM
ejpam-2221	47	19	14	14	NUM
ejpam-2221	47	20	5	5	NUM
ejpam-2221	47	21	σ3	σ3	PROPN
ejpam-2221	47	22	(	(	PUNCT
ejpam-2221	47	23	n	n	NOUN
ejpam-2221	47	24	2	2	NUM
ejpam-2221	47	25	)	)	PUNCT
ejpam-2221	47	26	−	−	PROPN
ejpam-2221	47	27	54	54	NUM
ejpam-2221	47	28	5	5	NUM
ejpam-2221	47	29	σ3	σ3	PROPN
ejpam-2221	47	30	(	(	PUNCT
ejpam-2221	47	31	n	n	NOUN
ejpam-2221	47	32	3	3	NUM
ejpam-2221	47	33	)	)	PUNCT
ejpam-2221	48	1	+	+	CCONJ
ejpam-2221	48	2	28	28	NUM
ejpam-2221	48	3	5	5	NUM
ejpam-2221	48	4	σ3	σ3	PROPN
ejpam-2221	48	5	(	(	PUNCT
ejpam-2221	48	6	n	n	ADV
ejpam-2221	48	7	4	4	NUM
ejpam-2221	48	8	)	)	PUNCT
ejpam-2221	48	9	+	+	CCONJ
ejpam-2221	48	10	54	54	NUM
ejpam-2221	48	11	5	5	NUM
ejpam-2221	48	12	σ3	σ3	PROPN
ejpam-2221	48	13	(	(	PUNCT
ejpam-2221	48	14	n	n	PROPN
ejpam-2221	48	15	6	6	NUM
ejpam-2221	48	16	)	)	PUNCT
ejpam-2221	48	17	−	−	PROPN
ejpam-2221	48	18	448	448	NUM
ejpam-2221	48	19	5	5	NUM
ejpam-2221	48	20	σ3	σ3	PROPN
ejpam-2221	48	21	(	(	PUNCT
ejpam-2221	48	22	n	n	NOUN
ejpam-2221	48	23	8	8	NUM
ejpam-2221	48	24	)	)	PUNCT
ejpam-2221	48	25	−	−	PROPN
ejpam-2221	48	26	108	108	NUM
ejpam-2221	48	27	5	5	NUM
ejpam-2221	48	28	σ3	σ3	PROPN
ejpam-2221	48	29	(	(	PUNCT
ejpam-2221	48	30	n	n	PROPN
ejpam-2221	48	31	12	12	NUM
ejpam-2221	48	32	)	)	PUNCT
ejpam-2221	49	1	+	+	CCONJ
ejpam-2221	49	2	1728	1728	NUM
ejpam-2221	49	3	5	5	NUM
ejpam-2221	49	4	σ3	σ3	PROPN
ejpam-2221	49	5	(	(	PUNCT
ejpam-2221	49	6	n	n	NOUN
ejpam-2221	49	7	24	24	NUM
ejpam-2221	49	8	)	)	PUNCT
ejpam-2221	50	1	+	+	CCONJ
ejpam-2221	50	2	6	6	NUM
ejpam-2221	50	3	5	5	NUM
ejpam-2221	50	4	c1,6(n	c1,6(n	PROPN
ejpam-2221	50	5	)	)	PUNCT
ejpam-2221	51	1	+	+	CCONJ
ejpam-2221	51	2	12	12	NUM
ejpam-2221	51	3	5	5	NUM
ejpam-2221	51	4	c1,6	c1,6	PROPN
ejpam-2221	51	5	(	(	PUNCT
ejpam-2221	51	6	n	n	NOUN
ejpam-2221	51	7	2	2	NUM
ejpam-2221	51	8	)	)	PUNCT
ejpam-2221	51	9	−	−	NOUN
ejpam-2221	51	10	12	12	NUM
ejpam-2221	51	11	5	5	NUM
ejpam-2221	51	12	c3,4	c3,4	ADJ
ejpam-2221	51	13	(	(	PUNCT
ejpam-2221	51	14	n	n	ADV
ejpam-2221	51	15	2	2	NUM
ejpam-2221	51	16	)	)	PUNCT
ejpam-2221	51	17	,	,	PUNCT
ejpam-2221	51	18	(	(	PUNCT
ejpam-2221	51	19	ii	ii	NOUN
ejpam-2221	51	20	)	)	PUNCT
ejpam-2221	51	21	m(2	m(2	PROPN
ejpam-2221	51	22	,	,	PUNCT
ejpam-2221	51	23	2,2,2	2,2,2	NUM
ejpam-2221	51	24	,	,	PUNCT
ejpam-2221	51	25	1,1	1,1	NUM
ejpam-2221	51	26	;	;	PUNCT
ejpam-2221	51	27	n	n	CCONJ
ejpam-2221	51	28	)	)	PUNCT
ejpam-2221	51	29	=	=	SYM
ejpam-2221	51	30	21	21	NUM
ejpam-2221	51	31	5	5	NUM
ejpam-2221	51	32	σ3(n	σ3(n	NOUN
ejpam-2221	51	33	)	)	PUNCT
ejpam-2221	51	34	+	+	CCONJ
ejpam-2221	51	35	91	91	NUM
ejpam-2221	51	36	5	5	NUM
ejpam-2221	51	37	σ3	σ3	PROPN
ejpam-2221	51	38	(	(	PUNCT
ejpam-2221	51	39	n	n	NOUN
ejpam-2221	51	40	2	2	NUM
ejpam-2221	51	41	)	)	PUNCT
ejpam-2221	51	42	−	−	PROPN
ejpam-2221	51	43	81	81	NUM
ejpam-2221	51	44	5	5	NUM
ejpam-2221	51	45	σ3	σ3	PROPN
ejpam-2221	51	46	(	(	PUNCT
ejpam-2221	51	47	n	n	NOUN
ejpam-2221	51	48	3	3	NUM
ejpam-2221	51	49	)	)	PUNCT
ejpam-2221	51	50	−	−	PROPN
ejpam-2221	51	51	84	84	NUM
ejpam-2221	51	52	5	5	NUM
ejpam-2221	51	53	σ3	σ3	PROPN
ejpam-2221	51	54	(	(	PUNCT
ejpam-2221	51	55	n	n	ADV
ejpam-2221	51	56	4	4	NUM
ejpam-2221	51	57	)	)	PUNCT
ejpam-2221	51	58	−	−	PROPN
ejpam-2221	51	59	351	351	NUM
ejpam-2221	51	60	5	5	NUM
ejpam-2221	51	61	σ3	σ3	PROPN
ejpam-2221	51	62	(	(	PUNCT
ejpam-2221	51	63	n	n	PROPN
ejpam-2221	51	64	6	6	NUM
ejpam-2221	51	65	)	)	PUNCT
ejpam-2221	51	66	−	−	PROPN
ejpam-2221	51	67	448	448	NUM
ejpam-2221	51	68	5	5	NUM
ejpam-2221	51	69	σ3	σ3	PROPN
ejpam-2221	51	70	(	(	PUNCT
ejpam-2221	51	71	n	n	NOUN
ejpam-2221	51	72	8	8	NUM
ejpam-2221	51	73	)	)	PUNCT
ejpam-2221	51	74	+	+	CCONJ
ejpam-2221	51	75	324	324	NUM
ejpam-2221	51	76	5	5	NUM
ejpam-2221	51	77	σ3	σ3	PROPN
ejpam-2221	51	78	(	(	PUNCT
ejpam-2221	51	79	n	n	PROPN
ejpam-2221	51	80	12	12	NUM
ejpam-2221	51	81	)	)	PUNCT
ejpam-2221	52	1	+	+	CCONJ
ejpam-2221	52	2	1728	1728	NUM
ejpam-2221	52	3	5	5	NUM
ejpam-2221	52	4	σ3	σ3	PROPN
ejpam-2221	52	5	(	(	PUNCT
ejpam-2221	52	6	n	n	NOUN
ejpam-2221	52	7	24	24	NUM
ejpam-2221	52	8	)	)	PUNCT
ejpam-2221	53	1	+	+	CCONJ
ejpam-2221	53	2	12	12	NUM
ejpam-2221	53	3	5	5	NUM
ejpam-2221	53	4	c1,6(n	c1,6(n	PROPN
ejpam-2221	53	5	)	)	PUNCT
ejpam-2221	54	1	+	+	CCONJ
ejpam-2221	54	2	6c1,8(n)−	6c1,8(n)−	NUM
ejpam-2221	54	3	3	3	NUM
ejpam-2221	54	4	5	5	NUM
ejpam-2221	54	5	c3,8(n	c3,8(n	NOUN
ejpam-2221	54	6	)	)	PUNCT
ejpam-2221	54	7	,	,	PUNCT
ejpam-2221	54	8	(	(	PUNCT
ejpam-2221	54	9	iii	iii	X
ejpam-2221	54	10	)	)	PUNCT
ejpam-2221	54	11	m(3,3	m(3,3	PROPN
ejpam-2221	54	12	,	,	PUNCT
ejpam-2221	54	13	6,6	6,6	NUM
ejpam-2221	54	14	,	,	PUNCT
ejpam-2221	54	15	4,4	4,4	NUM
ejpam-2221	54	16	;	;	PUNCT
ejpam-2221	54	17	n	n	CCONJ
ejpam-2221	54	18	)	)	PUNCT
ejpam-2221	54	19	=	=	SYM
ejpam-2221	54	20	1	1	NUM
ejpam-2221	54	21	10	10	NUM
ejpam-2221	54	22	σ3(n)−	σ3(n)−	NOUN
ejpam-2221	54	23	1	1	NUM
ejpam-2221	54	24	10	10	NUM
ejpam-2221	54	25	σ3	σ3	PROPN
ejpam-2221	54	26	(	(	PUNCT
ejpam-2221	54	27	n	n	NOUN
ejpam-2221	54	28	2	2	NUM
ejpam-2221	54	29	)	)	PUNCT
ejpam-2221	54	30	−	−	PROPN
ejpam-2221	54	31	21	21	NUM
ejpam-2221	54	32	10	10	NUM
ejpam-2221	54	33	σ3	σ3	PROPN
ejpam-2221	54	34	(	(	PUNCT
ejpam-2221	54	35	n	n	NOUN
ejpam-2221	54	36	3	3	NUM
ejpam-2221	54	37	)	)	PUNCT
ejpam-2221	55	1	+	+	CCONJ
ejpam-2221	55	2	4	4	NUM
ejpam-2221	55	3	5	5	NUM
ejpam-2221	55	4	σ3	σ3	PROPN
ejpam-2221	55	5	(	(	PUNCT
ejpam-2221	55	6	n	n	ADV
ejpam-2221	55	7	4	4	NUM
ejpam-2221	55	8	)	)	PUNCT
ejpam-2221	55	9	+	+	CCONJ
ejpam-2221	55	10	21	21	NUM
ejpam-2221	55	11	10	10	NUM
ejpam-2221	55	12	σ3	σ3	PROPN
ejpam-2221	55	13	(	(	PUNCT
ejpam-2221	55	14	n	n	PROPN
ejpam-2221	55	15	6	6	NUM
ejpam-2221	55	16	)	)	PUNCT
ejpam-2221	55	17	−	−	ADP
ejpam-2221	55	18	64	64	NUM
ejpam-2221	55	19	5	5	NUM
ejpam-2221	55	20	σ3	σ3	PROPN
ejpam-2221	55	21	(	(	PUNCT
ejpam-2221	55	22	n	n	NOUN
ejpam-2221	55	23	8	8	NUM
ejpam-2221	55	24	)	)	PUNCT
ejpam-2221	55	25	−	−	PROPN
ejpam-2221	55	26	84	84	NUM
ejpam-2221	55	27	5	5	NUM
ejpam-2221	55	28	σ3	σ3	PROPN
ejpam-2221	55	29	(	(	PUNCT
ejpam-2221	55	30	n	n	PROPN
ejpam-2221	55	31	12	12	NUM
ejpam-2221	55	32	)	)	PUNCT
ejpam-2221	56	1	+	+	CCONJ
ejpam-2221	56	2	1344	1344	NUM
ejpam-2221	56	3	5	5	NUM
ejpam-2221	56	4	σ3	σ3	PROPN
ejpam-2221	56	5	(	(	PUNCT
ejpam-2221	56	6	n	n	NOUN
ejpam-2221	56	7	24	24	NUM
ejpam-2221	56	8	)	)	PUNCT
ejpam-2221	57	1	+	+	CCONJ
ejpam-2221	57	2	2	2	NUM
ejpam-2221	57	3	5	5	NUM
ejpam-2221	57	4	c1,6	c1,6	PROPN
ejpam-2221	57	5	(	(	PUNCT
ejpam-2221	57	6	n	n	NOUN
ejpam-2221	57	7	2	2	NUM
ejpam-2221	57	8	)	)	PUNCT
ejpam-2221	58	1	+	+	CCONJ
ejpam-2221	58	2	16	16	NUM
ejpam-2221	58	3	5	5	NUM
ejpam-2221	58	4	c1,6	c1,6	PROPN
ejpam-2221	58	5	(	(	PUNCT
ejpam-2221	58	6	n	n	PROPN
ejpam-2221	58	7	4	4	NUM
ejpam-2221	58	8	)	)	PUNCT
ejpam-2221	58	9	−	−	PROPN
ejpam-2221	58	10	1	1	NUM
ejpam-2221	58	11	10	10	NUM
ejpam-2221	58	12	c3,4(n	c3,4(n	NOUN
ejpam-2221	58	13	)	)	PUNCT
ejpam-2221	58	14	,	,	PUNCT
ejpam-2221	58	15	(	(	PUNCT
ejpam-2221	58	16	iv	iv	X
ejpam-2221	58	17	)	)	PUNCT
ejpam-2221	58	18	m(1	m(1	NOUN
ejpam-2221	58	19	,	,	PUNCT
ejpam-2221	58	20	1,1	1,1	NUM
ejpam-2221	58	21	,	,	PUNCT
ejpam-2221	58	22	1,6	1,6	NUM
ejpam-2221	58	23	,	,	PUNCT
ejpam-2221	58	24	6	6	NUM
ejpam-2221	58	25	;	;	PUNCT
ejpam-2221	58	26	n	n	CCONJ
ejpam-2221	58	27	)	)	PUNCT
ejpam-2221	58	28	=	=	SYM
ejpam-2221	58	29	8	8	NUM
ejpam-2221	58	30	15	15	NUM
ejpam-2221	58	31	σ3(n	σ3(n	NOUN
ejpam-2221	58	32	)	)	PUNCT
ejpam-2221	58	33	+	+	CCONJ
ejpam-2221	58	34	76	76	NUM
ejpam-2221	58	35	15	15	NUM
ejpam-2221	58	36	σ3	σ3	PROPN
ejpam-2221	58	37	(	(	PUNCT
ejpam-2221	58	38	n	n	NOUN
ejpam-2221	58	39	3	3	NUM
ejpam-2221	58	40	)	)	PUNCT
ejpam-2221	58	41	−	−	PROPN
ejpam-2221	58	42	128	128	NUM
ejpam-2221	58	43	15	15	NUM
ejpam-2221	58	44	σ3	σ3	PROPN
ejpam-2221	58	45	(	(	PUNCT
ejpam-2221	58	46	n	n	ADV
ejpam-2221	58	47	4	4	NUM
ejpam-2221	58	48	)	)	PUNCT
ejpam-2221	58	49	−	−	PROPN
ejpam-2221	58	50	108	108	NUM
ejpam-2221	58	51	5	5	NUM
ejpam-2221	58	52	σ3	σ3	PROPN
ejpam-2221	58	53	(	(	PUNCT
ejpam-2221	58	54	n	n	NOUN
ejpam-2221	58	55	9	9	NUM
ejpam-2221	58	56	)	)	PUNCT
ejpam-2221	58	57	−	−	NOUN
ejpam-2221	58	58	1216	1216	NUM
ejpam-2221	58	59	15	15	NUM
ejpam-2221	58	60	σ3	σ3	PROPN
ejpam-2221	58	61	(	(	PUNCT
ejpam-2221	58	62	n	n	PROPN
ejpam-2221	58	63	12	12	NUM
ejpam-2221	58	64	)	)	PUNCT
ejpam-2221	59	1	+	+	CCONJ
ejpam-2221	59	2	1728	1728	NUM
ejpam-2221	59	3	5	5	NUM
ejpam-2221	59	4	σ3	σ3	PROPN
ejpam-2221	59	5	(	(	PUNCT
ejpam-2221	59	6	n	n	PROPN
ejpam-2221	59	7	36	36	NUM
ejpam-2221	59	8	)	)	PUNCT
ejpam-2221	59	9	−	−	PROPN
ejpam-2221	59	10	4	4	NUM
ejpam-2221	59	11	5	5	NUM
ejpam-2221	59	12	c1,6(n	c1,6(n	PROPN
ejpam-2221	59	13	)	)	PUNCT
ejpam-2221	60	1	+	+	CCONJ
ejpam-2221	60	2	16	16	NUM
ejpam-2221	60	3	5	5	NUM
ejpam-2221	60	4	c1,6	c1,6	PROPN
ejpam-2221	60	5	(	(	PUNCT
ejpam-2221	60	6	n	n	NOUN
ejpam-2221	60	7	2	2	NUM
ejpam-2221	60	8	)	)	PUNCT
ejpam-2221	61	1	+	+	CCONJ
ejpam-2221	61	2	124	124	NUM
ejpam-2221	61	3	5	5	NUM
ejpam-2221	61	4	c1,18(n)−	c1,18(n)−	NOUN
ejpam-2221	61	5	16	16	NUM
ejpam-2221	61	6	15	15	NUM
ejpam-2221	62	1	c2,9	c2,9	NOUN
ejpam-2221	62	2	(	(	PUNCT
ejpam-2221	62	3	n	n	PROPN
ejpam-2221	62	4	2	2	NUM
ejpam-2221	62	5	)	)	PUNCT
ejpam-2221	62	6	,	,	PUNCT
ejpam-2221	62	7	(	(	PUNCT
ejpam-2221	62	8	v	v	NOUN
ejpam-2221	62	9	)	)	PUNCT
ejpam-2221	62	10	m(3,3	m(3,3	PROPN
ejpam-2221	62	11	,	,	PUNCT
ejpam-2221	62	12	6,6	6,6	NUM
ejpam-2221	62	13	,	,	PUNCT
ejpam-2221	62	14	2,2	2,2	NUM
ejpam-2221	62	15	;	;	PUNCT
ejpam-2221	62	16	n	n	CCONJ
ejpam-2221	62	17	)	)	PUNCT
ejpam-2221	62	18	=	=	SYM
ejpam-2221	62	19	2	2	NUM
ejpam-2221	62	20	5	5	NUM
ejpam-2221	62	21	σ3(n)−	σ3(n)−	SYM
ejpam-2221	62	22	2	2	NUM
ejpam-2221	62	23	5	5	NUM
ejpam-2221	62	24	σ3	σ3	PROPN
ejpam-2221	62	25	(	(	PUNCT
ejpam-2221	62	26	n	n	NOUN
ejpam-2221	62	27	2	2	NUM
ejpam-2221	62	28	)	)	PUNCT
ejpam-2221	62	29	−	−	PROPN
ejpam-2221	62	30	42	42	NUM
ejpam-2221	62	31	5	5	NUM
ejpam-2221	62	32	σ3	σ3	PROPN
ejpam-2221	62	33	(	(	PUNCT
ejpam-2221	62	34	n	n	NOUN
ejpam-2221	62	35	3	3	NUM
ejpam-2221	62	36	)	)	PUNCT
ejpam-2221	62	37	+	+	CCONJ
ejpam-2221	62	38	4	4	NUM
ejpam-2221	62	39	5	5	NUM
ejpam-2221	62	40	σ3	σ3	PROPN
ejpam-2221	62	41	(	(	PUNCT
ejpam-2221	62	42	n	n	ADV
ejpam-2221	62	43	4	4	NUM
ejpam-2221	62	44	)	)	PUNCT
ejpam-2221	62	45	+	+	CCONJ
ejpam-2221	62	46	42	42	NUM
ejpam-2221	62	47	5	5	NUM
ejpam-2221	62	48	σ3	σ3	PROPN
ejpam-2221	62	49	(	(	PUNCT
ejpam-2221	62	50	n	n	PROPN
ejpam-2221	62	51	6	6	NUM
ejpam-2221	62	52	)	)	PUNCT
ejpam-2221	62	53	−	−	ADP
ejpam-2221	62	54	64	64	NUM
ejpam-2221	62	55	5	5	NUM
ejpam-2221	62	56	σ3	σ3	PROPN
ejpam-2221	62	57	(	(	PUNCT
ejpam-2221	62	58	n	n	NOUN
ejpam-2221	62	59	8	8	NUM
ejpam-2221	62	60	)	)	PUNCT
ejpam-2221	62	61	−	−	PROPN
ejpam-2221	62	62	84	84	NUM
ejpam-2221	62	63	5	5	NUM
ejpam-2221	62	64	σ3	σ3	PROPN
ejpam-2221	62	65	(	(	PUNCT
ejpam-2221	62	66	n	n	PROPN
ejpam-2221	62	67	12	12	NUM
ejpam-2221	62	68	)	)	PUNCT
ejpam-2221	63	1	+	+	CCONJ
ejpam-2221	63	2	1344	1344	NUM
ejpam-2221	63	3	5	5	NUM
ejpam-2221	63	4	σ3	σ3	PROPN
ejpam-2221	63	5	(	(	PUNCT
ejpam-2221	63	6	n	n	PROPN
ejpam-2221	63	7	24	24	NUM
ejpam-2221	63	8	)	)	PUNCT
ejpam-2221	63	9	−	−	PROPN
ejpam-2221	63	10	2	2	NUM
ejpam-2221	63	11	5	5	NUM
ejpam-2221	63	12	c1,6(n	c1,6(n	PROPN
ejpam-2221	63	13	)	)	PUNCT
ejpam-2221	63	14	−	−	NOUN
ejpam-2221	63	15	4	4	NUM
ejpam-2221	63	16	5	5	NUM
ejpam-2221	63	17	c1,6	c1,6	PROPN
ejpam-2221	63	18	(	(	PUNCT
ejpam-2221	63	19	n	n	NOUN
ejpam-2221	63	20	2	2	NUM
ejpam-2221	63	21	)	)	PUNCT
ejpam-2221	63	22	+	+	CCONJ
ejpam-2221	63	23	44	44	NUM
ejpam-2221	63	24	5	5	NUM
ejpam-2221	63	25	c1,12	c1,12	PROPN
ejpam-2221	63	26	(	(	PUNCT
ejpam-2221	63	27	n	n	NOUN
ejpam-2221	63	28	2	2	NUM
ejpam-2221	63	29	)	)	PUNCT
ejpam-2221	63	30	,	,	PUNCT
ejpam-2221	63	31	b.	b.	PROPN
ejpam-2221	63	32	köklüce	köklüce	PROPN
ejpam-2221	63	33	/	/	SYM
ejpam-2221	63	34	eur	eur	PROPN
ejpam-2221	63	35	.	.	PUNCT
ejpam-2221	64	1	j.	j.	PROPN
ejpam-2221	64	2	pure	pure	PROPN
ejpam-2221	64	3	appl	appl	PROPN
ejpam-2221	64	4	.	.	PROPN
ejpam-2221	64	5	math	math	PROPN
ejpam-2221	64	6	,	,	PUNCT
ejpam-2221	64	7	7	7	NUM
ejpam-2221	64	8	(	(	PUNCT
ejpam-2221	64	9	2014	2014	NUM
ejpam-2221	64	10	)	)	PUNCT
ejpam-2221	64	11	,	,	PUNCT
ejpam-2221	64	12	304	304	NUM
ejpam-2221	64	13	-	-	SYM
ejpam-2221	64	14	311	311	NUM
ejpam-2221	64	15	307	307	NUM
ejpam-2221	64	16	(	(	PUNCT
ejpam-2221	64	17	vi	vi	NOUN
ejpam-2221	64	18	)	)	PUNCT
ejpam-2221	64	19	m(1,1	m(1,1	NOUN
ejpam-2221	64	20	,	,	PUNCT
ejpam-2221	64	21	2,2	2,2	NUM
ejpam-2221	64	22	,	,	PUNCT
ejpam-2221	64	23	1,1	1,1	NUM
ejpam-2221	64	24	;	;	PUNCT
ejpam-2221	64	25	n	n	CCONJ
ejpam-2221	64	26	)	)	PUNCT
ejpam-2221	64	27	=	=	SYM
ejpam-2221	65	1	56	56	NUM
ejpam-2221	65	2	5	5	NUM
ejpam-2221	65	3	σ3(n)−	σ3(n)−	SYM
ejpam-2221	65	4	56	56	NUM
ejpam-2221	65	5	5	5	NUM
ejpam-2221	65	6	σ3	σ3	PROPN
ejpam-2221	65	7	(	(	PUNCT
ejpam-2221	65	8	n	n	NOUN
ejpam-2221	65	9	2	2	NUM
ejpam-2221	65	10	)	)	PUNCT
ejpam-2221	65	11	−	−	NOUN
ejpam-2221	65	12	216	216	NUM
ejpam-2221	65	13	5	5	NUM
ejpam-2221	65	14	σ3	σ3	PROPN
ejpam-2221	65	15	(	(	PUNCT
ejpam-2221	65	16	n	n	NOUN
ejpam-2221	65	17	3	3	NUM
ejpam-2221	65	18	)	)	PUNCT
ejpam-2221	65	19	+	+	CCONJ
ejpam-2221	65	20	28	28	NUM
ejpam-2221	65	21	5	5	NUM
ejpam-2221	65	22	σ3	σ3	PROPN
ejpam-2221	65	23	(	(	PUNCT
ejpam-2221	65	24	n	n	ADV
ejpam-2221	65	25	4	4	NUM
ejpam-2221	65	26	)	)	PUNCT
ejpam-2221	65	27	+	+	CCONJ
ejpam-2221	65	28	216	216	NUM
ejpam-2221	65	29	5	5	NUM
ejpam-2221	65	30	σ3	σ3	PROPN
ejpam-2221	65	31	(	(	PUNCT
ejpam-2221	65	32	n	n	PROPN
ejpam-2221	65	33	6	6	NUM
ejpam-2221	65	34	)	)	PUNCT
ejpam-2221	65	35	−	−	PROPN
ejpam-2221	65	36	448	448	NUM
ejpam-2221	65	37	5	5	NUM
ejpam-2221	65	38	σ3	σ3	PROPN
ejpam-2221	65	39	(	(	PUNCT
ejpam-2221	65	40	n	n	NOUN
ejpam-2221	65	41	8	8	NUM
ejpam-2221	65	42	)	)	PUNCT
ejpam-2221	65	43	−	−	PROPN
ejpam-2221	65	44	108	108	NUM
ejpam-2221	65	45	5	5	NUM
ejpam-2221	65	46	σ3	σ3	PROPN
ejpam-2221	65	47	(	(	PUNCT
ejpam-2221	65	48	n	n	PROPN
ejpam-2221	65	49	12	12	NUM
ejpam-2221	65	50	)	)	PUNCT
ejpam-2221	65	51	+	+	CCONJ
ejpam-2221	65	52	1728	1728	NUM
ejpam-2221	65	53	5	5	NUM
ejpam-2221	65	54	σ3	σ3	PROPN
ejpam-2221	65	55	(	(	PUNCT
ejpam-2221	65	56	n	n	PROPN
ejpam-2221	65	57	24	24	NUM
ejpam-2221	65	58	)	)	PUNCT
ejpam-2221	65	59	−	−	PROPN
ejpam-2221	66	1	6	6	NUM
ejpam-2221	66	2	5	5	NUM
ejpam-2221	66	3	c1,6(n	c1,6(n	PROPN
ejpam-2221	66	4	)	)	PUNCT
ejpam-2221	67	1	+	+	CCONJ
ejpam-2221	68	1	6c1,8(n	6c1,8(n	X
ejpam-2221	68	2	)	)	PUNCT
ejpam-2221	68	3	+	+	CCONJ
ejpam-2221	68	4	3	3	NUM
ejpam-2221	68	5	5	5	NUM
ejpam-2221	68	6	c3,4(n)−	c3,4(n)−	PROPN
ejpam-2221	68	7	3	3	NUM
ejpam-2221	68	8	5	5	NUM
ejpam-2221	68	9	c3,8(n	c3,8(n	NOUN
ejpam-2221	68	10	)	)	PUNCT
ejpam-2221	68	11	,	,	PUNCT
ejpam-2221	68	12	(	(	PUNCT
ejpam-2221	68	13	vii	vii	PROPN
ejpam-2221	68	14	)	)	PUNCT
ejpam-2221	68	15	m(1	m(1	PROPN
ejpam-2221	68	16	,	,	PUNCT
ejpam-2221	68	17	1,2	1,2	NUM
ejpam-2221	68	18	,	,	PUNCT
ejpam-2221	68	19	2,4	2,4	NUM
ejpam-2221	68	20	,	,	PUNCT
ejpam-2221	68	21	4	4	NUM
ejpam-2221	68	22	;	;	PUNCT
ejpam-2221	68	23	n	n	CCONJ
ejpam-2221	68	24	)	)	PUNCT
ejpam-2221	68	25	=	=	SYM
ejpam-2221	68	26	7	7	NUM
ejpam-2221	68	27	10	10	NUM
ejpam-2221	68	28	σ3(n)−	σ3(n)−	NOUN
ejpam-2221	68	29	7	7	NUM
ejpam-2221	68	30	10	10	NUM
ejpam-2221	68	31	σ3	σ3	PROPN
ejpam-2221	68	32	(	(	PUNCT
ejpam-2221	68	33	n	n	NOUN
ejpam-2221	68	34	2	2	NUM
ejpam-2221	68	35	)	)	PUNCT
ejpam-2221	68	36	−	−	PROPN
ejpam-2221	68	37	27	27	NUM
ejpam-2221	68	38	10	10	NUM
ejpam-2221	68	39	σ3	σ3	PROPN
ejpam-2221	68	40	(	(	PUNCT
ejpam-2221	68	41	n	n	NOUN
ejpam-2221	68	42	3	3	NUM
ejpam-2221	68	43	)	)	PUNCT
ejpam-2221	68	44	+	+	CCONJ
ejpam-2221	68	45	28	28	NUM
ejpam-2221	68	46	5	5	NUM
ejpam-2221	68	47	σ3	σ3	PROPN
ejpam-2221	68	48	(	(	PUNCT
ejpam-2221	68	49	n	n	ADV
ejpam-2221	68	50	4	4	NUM
ejpam-2221	68	51	)	)	PUNCT
ejpam-2221	68	52	+	+	CCONJ
ejpam-2221	68	53	27	27	NUM
ejpam-2221	68	54	10	10	NUM
ejpam-2221	68	55	σ3	σ3	PROPN
ejpam-2221	68	56	(	(	PUNCT
ejpam-2221	68	57	n	n	PROPN
ejpam-2221	68	58	6	6	NUM
ejpam-2221	68	59	)	)	PUNCT
ejpam-2221	68	60	−	−	PROPN
ejpam-2221	68	61	448	448	NUM
ejpam-2221	68	62	5	5	NUM
ejpam-2221	68	63	σ3	σ3	PROPN
ejpam-2221	68	64	(	(	PUNCT
ejpam-2221	68	65	n	n	NOUN
ejpam-2221	68	66	8	8	NUM
ejpam-2221	68	67	)	)	PUNCT
ejpam-2221	68	68	−	−	PROPN
ejpam-2221	68	69	108	108	NUM
ejpam-2221	68	70	5	5	NUM
ejpam-2221	68	71	σ3	σ3	PROPN
ejpam-2221	68	72	(	(	PUNCT
ejpam-2221	68	73	n	n	PROPN
ejpam-2221	68	74	12	12	NUM
ejpam-2221	68	75	)	)	PUNCT
ejpam-2221	68	76	+	+	CCONJ
ejpam-2221	68	77	1728	1728	NUM
ejpam-2221	68	78	5	5	NUM
ejpam-2221	68	79	σ3	σ3	PROPN
ejpam-2221	68	80	(	(	PUNCT
ejpam-2221	68	81	n	n	PROPN
ejpam-2221	68	82	24	24	NUM
ejpam-2221	68	83	)	)	PUNCT
ejpam-2221	68	84	−	−	PROPN
ejpam-2221	69	1	6	6	NUM
ejpam-2221	69	2	5	5	NUM
ejpam-2221	69	3	c1,6	c1,6	PROPN
ejpam-2221	69	4	(	(	PUNCT
ejpam-2221	69	5	n	n	NOUN
ejpam-2221	69	6	2	2	NUM
ejpam-2221	69	7	)	)	PUNCT
ejpam-2221	69	8	−	−	NOUN
ejpam-2221	69	9	48	48	NUM
ejpam-2221	69	10	5	5	NUM
ejpam-2221	69	11	c1,6	c1,6	PROPN
ejpam-2221	69	12	(	(	PUNCT
ejpam-2221	69	13	n	n	NOUN
ejpam-2221	69	14	4	4	NUM
ejpam-2221	69	15	)	)	PUNCT
ejpam-2221	69	16	+	+	CCONJ
ejpam-2221	69	17	33	33	NUM
ejpam-2221	69	18	10	10	NUM
ejpam-2221	69	19	c1,12(n	c1,12(n	NOUN
ejpam-2221	69	20	)	)	PUNCT
ejpam-2221	69	21	,	,	PUNCT
ejpam-2221	69	22	(	(	PUNCT
ejpam-2221	69	23	viii	viii	NOUN
ejpam-2221	69	24	)	)	PUNCT
ejpam-2221	69	25	m(3,3	m(3,3	PROPN
ejpam-2221	69	26	,	,	PUNCT
ejpam-2221	69	27	6,6	6,6	NUM
ejpam-2221	69	28	,	,	PUNCT
ejpam-2221	69	29	1,1	1,1	NUM
ejpam-2221	69	30	;	;	PUNCT
ejpam-2221	69	31	n	n	CCONJ
ejpam-2221	69	32	)	)	PUNCT
ejpam-2221	69	33	=	=	SYM
ejpam-2221	69	34	8	8	NUM
ejpam-2221	69	35	5	5	NUM
ejpam-2221	69	36	σ3(n)−	σ3(n)−	SYM
ejpam-2221	69	37	8	8	NUM
ejpam-2221	69	38	5	5	NUM
ejpam-2221	69	39	σ3	σ3	PROPN
ejpam-2221	69	40	(	(	PUNCT
ejpam-2221	69	41	n	n	NOUN
ejpam-2221	69	42	2	2	NUM
ejpam-2221	69	43	)	)	PUNCT
ejpam-2221	69	44	−	−	NOUN
ejpam-2221	69	45	168	168	NUM
ejpam-2221	69	46	5	5	NUM
ejpam-2221	69	47	σ3	σ3	PROPN
ejpam-2221	69	48	(	(	PUNCT
ejpam-2221	69	49	n	n	NOUN
ejpam-2221	69	50	3	3	NUM
ejpam-2221	69	51	)	)	PUNCT
ejpam-2221	69	52	+	+	CCONJ
ejpam-2221	69	53	4	4	NUM
ejpam-2221	69	54	5	5	NUM
ejpam-2221	69	55	σ3	σ3	PROPN
ejpam-2221	69	56	(	(	PUNCT
ejpam-2221	69	57	n	n	ADV
ejpam-2221	69	58	4	4	NUM
ejpam-2221	69	59	)	)	PUNCT
ejpam-2221	69	60	+	+	CCONJ
ejpam-2221	69	61	168	168	NUM
ejpam-2221	69	62	5	5	NUM
ejpam-2221	69	63	σ3	σ3	PROPN
ejpam-2221	69	64	(	(	PUNCT
ejpam-2221	69	65	n	n	PROPN
ejpam-2221	69	66	6	6	NUM
ejpam-2221	69	67	)	)	PUNCT
ejpam-2221	69	68	−	−	ADP
ejpam-2221	69	69	64	64	NUM
ejpam-2221	69	70	5	5	NUM
ejpam-2221	69	71	σ3	σ3	PROPN
ejpam-2221	69	72	(	(	PUNCT
ejpam-2221	69	73	n	n	NOUN
ejpam-2221	69	74	8	8	NUM
ejpam-2221	69	75	)	)	PUNCT
ejpam-2221	69	76	−	−	PROPN
ejpam-2221	69	77	84	84	NUM
ejpam-2221	69	78	5	5	NUM
ejpam-2221	69	79	σ3	σ3	PROPN
ejpam-2221	69	80	(	(	PUNCT
ejpam-2221	69	81	n	n	PROPN
ejpam-2221	69	82	12	12	NUM
ejpam-2221	69	83	)	)	PUNCT
ejpam-2221	69	84	+	+	CCONJ
ejpam-2221	69	85	1344	1344	NUM
ejpam-2221	69	86	5	5	NUM
ejpam-2221	69	87	σ3	σ3	PROPN
ejpam-2221	69	88	(	(	PUNCT
ejpam-2221	69	89	n	n	NOUN
ejpam-2221	69	90	24	24	NUM
ejpam-2221	69	91	)	)	PUNCT
ejpam-2221	69	92	+	+	CCONJ
ejpam-2221	69	93	2	2	NUM
ejpam-2221	69	94	5	5	NUM
ejpam-2221	69	95	c1,6(n	c1,6(n	PROPN
ejpam-2221	69	96	)	)	PUNCT
ejpam-2221	70	1	−	−	PROPN
ejpam-2221	70	2	18c1,8	18c1,8	NUM
ejpam-2221	70	3	(	(	PUNCT
ejpam-2221	70	4	n	n	PROPN
ejpam-2221	70	5	3	3	NUM
ejpam-2221	70	6	)	)	PUNCT
ejpam-2221	70	7	−	−	PROPN
ejpam-2221	70	8	11	11	NUM
ejpam-2221	70	9	5	5	NUM
ejpam-2221	70	10	c1,12(n	c1,12(n	NOUN
ejpam-2221	70	11	)	)	PUNCT
ejpam-2221	70	12	+	+	CCONJ
ejpam-2221	70	13	61	61	NUM
ejpam-2221	70	14	5	5	NUM
ejpam-2221	70	15	c1,24(n	c1,24(n	NOUN
ejpam-2221	70	16	)	)	PUNCT
ejpam-2221	70	17	,	,	PUNCT
ejpam-2221	70	18	(	(	PUNCT
ejpam-2221	70	19	ix	ix	X
ejpam-2221	70	20	)	)	PUNCT
ejpam-2221	70	21	m(1,1	m(1,1	PROPN
ejpam-2221	70	22	,	,	PUNCT
ejpam-2221	70	23	3,3	3,3	NUM
ejpam-2221	70	24	,	,	PUNCT
ejpam-2221	70	25	6,6	6,6	NUM
ejpam-2221	70	26	;	;	PUNCT
ejpam-2221	70	27	n	n	CCONJ
ejpam-2221	70	28	)	)	PUNCT
ejpam-2221	70	29	=	=	SYM
ejpam-2221	70	30	4	4	NUM
ejpam-2221	70	31	15	15	NUM
ejpam-2221	70	32	σ3(n)−	σ3(n)−	NOUN
ejpam-2221	70	33	8	8	NUM
ejpam-2221	70	34	15	15	NUM
ejpam-2221	70	35	σ3	σ3	PROPN
ejpam-2221	70	36	(	(	PUNCT
ejpam-2221	70	37	n	n	NOUN
ejpam-2221	70	38	2	2	NUM
ejpam-2221	70	39	)	)	PUNCT
ejpam-2221	70	40	−	−	PROPN
ejpam-2221	70	41	88	88	NUM
ejpam-2221	70	42	15	15	NUM
ejpam-2221	70	43	σ3	σ3	PROPN
ejpam-2221	70	44	(	(	PUNCT
ejpam-2221	70	45	n	n	NOUN
ejpam-2221	70	46	3	3	NUM
ejpam-2221	70	47	)	)	PUNCT
ejpam-2221	70	48	+	+	CCONJ
ejpam-2221	70	49	64	64	NUM
ejpam-2221	70	50	15	15	NUM
ejpam-2221	70	51	σ3	σ3	NOUN
ejpam-2221	70	52	(	(	PUNCT
ejpam-2221	70	53	n	n	ADV
ejpam-2221	70	54	4	4	NUM
ejpam-2221	70	55	)	)	PUNCT
ejpam-2221	70	56	+	+	CCONJ
ejpam-2221	70	57	176	176	NUM
ejpam-2221	70	58	15	15	NUM
ejpam-2221	70	59	σ3	σ3	PROPN
ejpam-2221	70	60	(	(	PUNCT
ejpam-2221	70	61	n	n	PROPN
ejpam-2221	70	62	6	6	NUM
ejpam-2221	70	63	)	)	PUNCT
ejpam-2221	70	64	+	+	CCONJ
ejpam-2221	70	65	108	108	NUM
ejpam-2221	70	66	5	5	NUM
ejpam-2221	70	67	σ3	σ3	PROPN
ejpam-2221	70	68	(	(	PUNCT
ejpam-2221	70	69	n	n	NOUN
ejpam-2221	70	70	9	9	NUM
ejpam-2221	70	71	)	)	PUNCT
ejpam-2221	70	72	−	−	PROPN
ejpam-2221	70	73	1408	1408	NUM
ejpam-2221	70	74	15	15	NUM
ejpam-2221	70	75	σ3	σ3	PROPN
ejpam-2221	70	76	(	(	PUNCT
ejpam-2221	70	77	n	n	PROPN
ejpam-2221	70	78	12	12	NUM
ejpam-2221	70	79	)	)	PUNCT
ejpam-2221	70	80	−	−	ADP
ejpam-2221	70	81	216	216	NUM
ejpam-2221	70	82	5	5	NUM
ejpam-2221	70	83	σ3	σ3	PROPN
ejpam-2221	70	84	(	(	PUNCT
ejpam-2221	70	85	n	n	PROPN
ejpam-2221	70	86	18	18	NUM
ejpam-2221	70	87	)	)	PUNCT
ejpam-2221	70	88	−	−	PROPN
ejpam-2221	70	89	2	2	NUM
ejpam-2221	70	90	5	5	NUM
ejpam-2221	70	91	c1,6(n	c1,6(n	PROPN
ejpam-2221	70	92	)	)	PUNCT
ejpam-2221	70	93	−	−	NOUN
ejpam-2221	71	1	8	8	NUM
ejpam-2221	71	2	5	5	NUM
ejpam-2221	71	3	c1,6	c1,6	PROPN
ejpam-2221	71	4	(	(	PUNCT
ejpam-2221	71	5	n	n	NOUN
ejpam-2221	71	6	2	2	NUM
ejpam-2221	71	7	)	)	PUNCT
ejpam-2221	71	8	−	−	PROPN
ejpam-2221	71	9	18	18	NUM
ejpam-2221	71	10	5	5	NUM
ejpam-2221	71	11	c1,6	c1,6	PROPN
ejpam-2221	71	12	(	(	PUNCT
ejpam-2221	71	13	n	n	NOUN
ejpam-2221	71	14	3	3	NUM
ejpam-2221	71	15	)	)	PUNCT
ejpam-2221	71	16	+	+	CCONJ
ejpam-2221	71	17	1728	1728	NUM
ejpam-2221	71	18	5	5	NUM
ejpam-2221	71	19	σ3	σ3	PROPN
ejpam-2221	71	20	(	(	PUNCT
ejpam-2221	71	21	n	n	PROPN
ejpam-2221	71	22	36	36	NUM
ejpam-2221	71	23	)	)	PUNCT
ejpam-2221	71	24	−	−	PROPN
ejpam-2221	71	25	72	72	NUM
ejpam-2221	71	26	5	5	NUM
ejpam-2221	71	27	c1,6	c1,6	PROPN
ejpam-2221	71	28	(	(	PUNCT
ejpam-2221	71	29	n	n	PROPN
ejpam-2221	71	30	6	6	NUM
ejpam-2221	71	31	)	)	PUNCT
ejpam-2221	71	32	−	−	PROPN
ejpam-2221	71	33	16	16	NUM
ejpam-2221	71	34	3	3	NUM
ejpam-2221	71	35	c1,9	c1,9	PROPN
ejpam-2221	71	36	(	(	PUNCT
ejpam-2221	71	37	n	n	NOUN
ejpam-2221	71	38	2	2	NUM
ejpam-2221	71	39	)	)	PUNCT
ejpam-2221	71	40	+	+	CCONJ
ejpam-2221	71	41	62	62	NUM
ejpam-2221	71	42	15	15	NUM
ejpam-2221	71	43	c1,18(n	c1,18(n	NOUN
ejpam-2221	71	44	)	)	PUNCT
ejpam-2221	71	45	+	+	CCONJ
ejpam-2221	71	46	8	8	NUM
ejpam-2221	71	47	15	15	NUM
ejpam-2221	71	48	c2,9	c2,9	NOUN
ejpam-2221	71	49	(	(	PUNCT
ejpam-2221	71	50	n	n	PROPN
ejpam-2221	71	51	2	2	NUM
ejpam-2221	71	52	)	)	PUNCT
ejpam-2221	71	53	,	,	PUNCT
ejpam-2221	71	54	(	(	PUNCT
ejpam-2221	71	55	x	x	X
ejpam-2221	71	56	)	)	PUNCT
ejpam-2221	71	57	m(1	m(1	NOUN
ejpam-2221	71	58	,	,	PUNCT
ejpam-2221	71	59	2,2	2,2	NUM
ejpam-2221	71	60	,	,	PUNCT
ejpam-2221	71	61	4,2	4,2	NUM
ejpam-2221	71	62	,	,	PUNCT
ejpam-2221	71	63	2	2	NUM
ejpam-2221	71	64	;	;	PUNCT
ejpam-2221	71	65	n	n	CCONJ
ejpam-2221	71	66	)	)	PUNCT
ejpam-2221	71	67	=	=	SYM
ejpam-2221	71	68	7	7	NUM
ejpam-2221	71	69	5	5	NUM
ejpam-2221	71	70	σ3(n)−	σ3(n)−	NOUN
ejpam-2221	71	71	7	7	NUM
ejpam-2221	71	72	5	5	NUM
ejpam-2221	71	73	σ3	σ3	PROPN
ejpam-2221	71	74	(	(	PUNCT
ejpam-2221	71	75	n	n	NOUN
ejpam-2221	71	76	2	2	NUM
ejpam-2221	71	77	)	)	PUNCT
ejpam-2221	71	78	−	−	PROPN
ejpam-2221	71	79	27	27	NUM
ejpam-2221	71	80	5	5	NUM
ejpam-2221	71	81	σ3	σ3	PROPN
ejpam-2221	71	82	(	(	PUNCT
ejpam-2221	71	83	n	n	NOUN
ejpam-2221	71	84	3	3	NUM
ejpam-2221	71	85	)	)	PUNCT
ejpam-2221	71	86	+	+	CCONJ
ejpam-2221	71	87	27	27	NUM
ejpam-2221	71	88	5	5	NUM
ejpam-2221	71	89	σ3	σ3	PROPN
ejpam-2221	71	90	(	(	PUNCT
ejpam-2221	71	91	n	n	PROPN
ejpam-2221	71	92	6	6	NUM
ejpam-2221	71	93	)	)	PUNCT
ejpam-2221	71	94	+	+	CCONJ
ejpam-2221	71	95	28	28	NUM
ejpam-2221	71	96	5	5	NUM
ejpam-2221	71	97	σ3	σ3	PROPN
ejpam-2221	71	98	(	(	PUNCT
ejpam-2221	71	99	n	n	NOUN
ejpam-2221	71	100	8	8	NUM
ejpam-2221	71	101	)	)	PUNCT
ejpam-2221	71	102	−	−	PROPN
ejpam-2221	71	103	448	448	NUM
ejpam-2221	71	104	5	5	NUM
ejpam-2221	71	105	σ3	σ3	PROPN
ejpam-2221	71	106	(	(	PUNCT
ejpam-2221	71	107	n	n	PROPN
ejpam-2221	71	108	16	16	NUM
ejpam-2221	71	109	)	)	PUNCT
ejpam-2221	71	110	−	−	PROPN
ejpam-2221	71	111	108	108	NUM
ejpam-2221	71	112	5	5	NUM
ejpam-2221	71	113	σ3	σ3	PROPN
ejpam-2221	71	114	(	(	PUNCT
ejpam-2221	71	115	n	n	NOUN
ejpam-2221	71	116	24	24	NUM
ejpam-2221	71	117	)	)	PUNCT
ejpam-2221	71	118	+	+	CCONJ
ejpam-2221	71	119	1728	1728	NUM
ejpam-2221	71	120	5	5	NUM
ejpam-2221	71	121	σ3	σ3	PROPN
ejpam-2221	71	122	(	(	PUNCT
ejpam-2221	71	123	n	n	PROPN
ejpam-2221	71	124	48	48	NUM
ejpam-2221	71	125	)	)	PUNCT
ejpam-2221	71	126	+	+	CCONJ
ejpam-2221	71	127	3	3	NUM
ejpam-2221	71	128	5	5	NUM
ejpam-2221	71	129	c1,6(n	c1,6(n	PROPN
ejpam-2221	71	130	)	)	PUNCT
ejpam-2221	71	131	+	+	CCONJ
ejpam-2221	72	1	6c1,8	6c1,8	NUM
ejpam-2221	72	2	(	(	PUNCT
ejpam-2221	72	3	n	n	NOUN
ejpam-2221	72	4	2	2	NUM
ejpam-2221	72	5	)	)	PUNCT
ejpam-2221	72	6	+	+	CCONJ
ejpam-2221	72	7	3	3	NUM
ejpam-2221	72	8	5	5	NUM
ejpam-2221	72	9	c3,4	c3,4	ADJ
ejpam-2221	72	10	(	(	PUNCT
ejpam-2221	72	11	n	n	ADV
ejpam-2221	72	12	2	2	NUM
ejpam-2221	72	13	)	)	PUNCT
ejpam-2221	72	14	−	−	NOUN
ejpam-2221	72	15	3	3	NUM
ejpam-2221	72	16	5	5	NUM
ejpam-2221	72	17	c3,8	c3,8	PROPN
ejpam-2221	72	18	(	(	PUNCT
ejpam-2221	72	19	n	n	ADV
ejpam-2221	72	20	2	2	NUM
ejpam-2221	72	21	)	)	PUNCT
ejpam-2221	72	22	,	,	PUNCT
ejpam-2221	72	23	b.	b.	PROPN
ejpam-2221	72	24	köklüce	köklüce	PROPN
ejpam-2221	72	25	/	/	SYM
ejpam-2221	72	26	eur	eur	PROPN
ejpam-2221	72	27	.	.	PUNCT
ejpam-2221	73	1	j.	j.	PROPN
ejpam-2221	73	2	pure	pure	PROPN
ejpam-2221	73	3	appl	appl	PROPN
ejpam-2221	73	4	.	.	PROPN
ejpam-2221	73	5	math	math	PROPN
ejpam-2221	73	6	,	,	PUNCT
ejpam-2221	73	7	7	7	NUM
ejpam-2221	73	8	(	(	PUNCT
ejpam-2221	73	9	2014	2014	NUM
ejpam-2221	73	10	)	)	PUNCT
ejpam-2221	73	11	,	,	PUNCT
ejpam-2221	73	12	304	304	NUM
ejpam-2221	73	13	-	-	SYM
ejpam-2221	73	14	311	311	NUM
ejpam-2221	73	15	308	308	NUM
ejpam-2221	73	16	(	(	PUNCT
ejpam-2221	73	17	xi	xi	NOUN
ejpam-2221	73	18	)	)	PUNCT
ejpam-2221	73	19	m(1,2	m(1,2	PROPN
ejpam-2221	73	20	,	,	PUNCT
ejpam-2221	73	21	2,4	2,4	NUM
ejpam-2221	73	22	,	,	PUNCT
ejpam-2221	73	23	4,4	4,4	NUM
ejpam-2221	73	24	;	;	PUNCT
ejpam-2221	73	25	n	n	CCONJ
ejpam-2221	73	26	)	)	PUNCT
ejpam-2221	73	27	=	=	SYM
ejpam-2221	73	28	7	7	NUM
ejpam-2221	73	29	20	20	NUM
ejpam-2221	73	30	σ3(n)−	σ3(n)−	NOUN
ejpam-2221	73	31	7	7	NUM
ejpam-2221	73	32	20	20	NUM
ejpam-2221	73	33	σ3	σ3	PROPN
ejpam-2221	73	34	(	(	PUNCT
ejpam-2221	73	35	n	n	NOUN
ejpam-2221	73	36	2	2	NUM
ejpam-2221	73	37	)	)	PUNCT
ejpam-2221	73	38	−	−	PROPN
ejpam-2221	73	39	27	27	NUM
ejpam-2221	73	40	20	20	NUM
ejpam-2221	73	41	σ3	σ3	PROPN
ejpam-2221	73	42	(	(	PUNCT
ejpam-2221	73	43	n	n	NOUN
ejpam-2221	73	44	3	3	NUM
ejpam-2221	73	45	)	)	PUNCT
ejpam-2221	73	46	+	+	CCONJ
ejpam-2221	73	47	27	27	NUM
ejpam-2221	73	48	20	20	NUM
ejpam-2221	73	49	σ3	σ3	PROPN
ejpam-2221	73	50	(	(	PUNCT
ejpam-2221	73	51	n	n	PROPN
ejpam-2221	73	52	6	6	NUM
ejpam-2221	73	53	)	)	PUNCT
ejpam-2221	73	54	+	+	CCONJ
ejpam-2221	73	55	28	28	NUM
ejpam-2221	73	56	5	5	NUM
ejpam-2221	73	57	σ3	σ3	PROPN
ejpam-2221	73	58	(	(	PUNCT
ejpam-2221	73	59	n	n	NOUN
ejpam-2221	73	60	8	8	NUM
ejpam-2221	73	61	)	)	PUNCT
ejpam-2221	73	62	−	−	PROPN
ejpam-2221	73	63	448	448	NUM
ejpam-2221	73	64	5	5	NUM
ejpam-2221	73	65	σ3	σ3	PROPN
ejpam-2221	73	66	(	(	PUNCT
ejpam-2221	73	67	n	n	PROPN
ejpam-2221	73	68	16	16	NUM
ejpam-2221	73	69	)	)	PUNCT
ejpam-2221	73	70	−	−	PROPN
ejpam-2221	73	71	108	108	NUM
ejpam-2221	73	72	5	5	NUM
ejpam-2221	73	73	σ3	σ3	PROPN
ejpam-2221	73	74	(	(	PUNCT
ejpam-2221	73	75	n	n	NOUN
ejpam-2221	73	76	24	24	NUM
ejpam-2221	73	77	)	)	PUNCT
ejpam-2221	74	1	+	+	CCONJ
ejpam-2221	74	2	1728	1728	NUM
ejpam-2221	74	3	5	5	NUM
ejpam-2221	74	4	σ3	σ3	PROPN
ejpam-2221	74	5	(	(	PUNCT
ejpam-2221	74	6	n	n	PROPN
ejpam-2221	74	7	48	48	NUM
ejpam-2221	74	8	)	)	PUNCT
ejpam-2221	74	9	−	−	PROPN
ejpam-2221	74	10	3	3	NUM
ejpam-2221	74	11	5	5	NUM
ejpam-2221	74	12	c1,6	c1,6	PROPN
ejpam-2221	74	13	(	(	PUNCT
ejpam-2221	74	14	n	n	NOUN
ejpam-2221	74	15	2	2	NUM
ejpam-2221	74	16	)	)	PUNCT
ejpam-2221	74	17	+	+	CCONJ
ejpam-2221	74	18	12	12	NUM
ejpam-2221	74	19	5	5	NUM
ejpam-2221	74	20	c1,6	c1,6	PROPN
ejpam-2221	74	21	(	(	PUNCT
ejpam-2221	74	22	n	n	NOUN
ejpam-2221	74	23	4	4	NUM
ejpam-2221	74	24	)	)	PUNCT
ejpam-2221	74	25	+	+	CCONJ
ejpam-2221	74	26	33	33	NUM
ejpam-2221	74	27	20	20	NUM
ejpam-2221	74	28	c1,12(n)−	c1,12(n)−	NOUN
ejpam-2221	74	29	12	12	NUM
ejpam-2221	74	30	5	5	NUM
ejpam-2221	74	31	c3,4	c3,4	ADJ
ejpam-2221	74	32	(	(	PUNCT
ejpam-2221	74	33	n	n	ADV
ejpam-2221	74	34	4	4	NUM
ejpam-2221	74	35	)	)	PUNCT
ejpam-2221	74	36	,	,	PUNCT
ejpam-2221	74	37	2	2	X
ejpam-2221	74	38	.	.	X
ejpam-2221	74	39	proof	proof	NOUN
ejpam-2221	74	40	of	of	ADP
ejpam-2221	74	41	theorem	theorem	NOUN
ejpam-2221	74	42	1	1	NUM
ejpam-2221	74	43	in	in	ADP
ejpam-2221	74	44	this	this	DET
ejpam-2221	74	45	section	section	NOUN
ejpam-2221	74	46	we	we	PRON
ejpam-2221	74	47	give	give	VERB
ejpam-2221	74	48	the	the	DET
ejpam-2221	74	49	proof	proof	NOUN
ejpam-2221	74	50	of	of	ADP
ejpam-2221	74	51	theorem	theorem	NOUN
ejpam-2221	74	52	1	1	NUM
ejpam-2221	74	53	.	.	PUNCT
ejpam-2221	74	54	(	(	PUNCT
ejpam-2221	74	55	i	i	NOUN
ejpam-2221	74	56	)	)	PUNCT
ejpam-2221	74	57	.	.	PUNCT
ejpam-2221	75	1	the	the	DET
ejpam-2221	75	2	remaining	remain	VERB
ejpam-2221	75	3	parts	part	NOUN
ejpam-2221	75	4	can	can	AUX
ejpam-2221	75	5	be	be	AUX
ejpam-2221	75	6	proved	prove	VERB
ejpam-2221	75	7	by	by	ADP
ejpam-2221	75	8	a	a	DET
ejpam-2221	75	9	similar	similar	ADJ
ejpam-2221	75	10	way	way	NOUN
ejpam-2221	75	11	.	.	PUNCT
ejpam-2221	76	1	proof	proof	NOUN
ejpam-2221	76	2	.	.	PUNCT
ejpam-2221	77	1	[	[	X
ejpam-2221	77	2	(	(	PUNCT
ejpam-2221	77	3	i	i	NOUN
ejpam-2221	77	4	)	)	PUNCT
ejpam-2221	77	5	]	]	PUNCT
ejpam-2221	77	6	the	the	DET
ejpam-2221	77	7	form	form	NOUN
ejpam-2221	77	8	f	f	X
ejpam-2221	77	9	:	:	PUNCT
ejpam-2221	77	10	=	=	SYM
ejpam-2221	78	1	x2	x2	NUM
ejpam-2221	78	2	1+x2	1+x2	NUM
ejpam-2221	78	3	2	2	NUM
ejpam-2221	78	4	+	+	NOUN
ejpam-2221	78	5	2x2	2x2	NUM
ejpam-2221	78	6	3	3	NUM
ejpam-2221	78	7	+	+	NOUN
ejpam-2221	78	8	2x2	2x2	NUM
ejpam-2221	78	9	4	4	NUM
ejpam-2221	78	10	+	+	NOUN
ejpam-2221	78	11	2x2	2x2	NUM
ejpam-2221	78	12	5	5	NUM
ejpam-2221	78	13	+	+	SYM
ejpam-2221	78	14	2x5	2x5	NUM
ejpam-2221	78	15	x6	x6	NOUN
ejpam-2221	78	16	+	+	NOUN
ejpam-2221	78	17	2x2	2x2	NUM
ejpam-2221	78	18	6	6	NUM
ejpam-2221	78	19	+	+	NOUN
ejpam-2221	78	20	2x2	2x2	NUM
ejpam-2221	78	21	7	7	NUM
ejpam-2221	78	22	+	+	NUM
ejpam-2221	78	23	2x7	2x7	NUM
ejpam-2221	78	24	x8	x8	NOUN
ejpam-2221	78	25	+	+	NOUN
ejpam-2221	78	26	2x2	2x2	NUM
ejpam-2221	78	27	8	8	NUM
ejpam-2221	78	28	clearly	clearly	ADV
ejpam-2221	78	29	can	can	AUX
ejpam-2221	78	30	be	be	AUX
ejpam-2221	78	31	obtained	obtain	VERB
ejpam-2221	78	32	from	from	ADP
ejpam-2221	78	33	the	the	DET
ejpam-2221	78	34	sum	sum	NOUN
ejpam-2221	78	35	of	of	ADP
ejpam-2221	78	36	the	the	DET
ejpam-2221	78	37	quaternary	quaternary	ADJ
ejpam-2221	78	38	quadratic	quadratic	ADJ
ejpam-2221	78	39	forms	form	NOUN
ejpam-2221	78	40	f2	f2	PRON
ejpam-2221	78	41	:	:	PUNCT
ejpam-2221	79	1	=	=	SYM
ejpam-2221	79	2	x2	x2	NOUN
ejpam-2221	79	3	1	1	NUM
ejpam-2221	79	4	+	+	CCONJ
ejpam-2221	79	5	x2	x2	PROPN
ejpam-2221	79	6	2	2	NUM
ejpam-2221	79	7	+	+	NUM
ejpam-2221	79	8	2x2	2x2	NUM
ejpam-2221	79	9	3	3	NUM
ejpam-2221	79	10	+	+	CCONJ
ejpam-2221	79	11	2x2	2x2	NUM
ejpam-2221	79	12	4	4	NUM
ejpam-2221	79	13	and	and	CCONJ
ejpam-2221	79	14	f5	f5	NOUN
ejpam-2221	79	15	:	:	PUNCT
ejpam-2221	80	1	=	=	SYM
ejpam-2221	80	2	x2	x2	NOUN
ejpam-2221	80	3	1	1	NUM
ejpam-2221	80	4	+	+	NUM
ejpam-2221	80	5	x1	x1	NUM
ejpam-2221	80	6	x2	x2	NOUN
ejpam-2221	81	1	+	+	CCONJ
ejpam-2221	81	2	x2	x2	PROPN
ejpam-2221	81	3	2	2	NUM
ejpam-2221	82	1	+	+	NUM
ejpam-2221	82	2	x2	x2	PROPN
ejpam-2221	82	3	3	3	NUM
ejpam-2221	82	4	+	+	CCONJ
ejpam-2221	82	5	x3	x3	PROPN
ejpam-2221	82	6	x4	x4	PROPN
ejpam-2221	83	1	+	+	CCONJ
ejpam-2221	83	2	x2	x2	PROPN
ejpam-2221	83	3	4	4	NUM
ejpam-2221	83	4	.	.	PUNCT
ejpam-2221	84	1	it	it	PRON
ejpam-2221	84	2	is	be	AUX
ejpam-2221	84	3	obvious	obvious	ADJ
ejpam-2221	84	4	that	that	SCONJ
ejpam-2221	84	5	m(1,1	m(1,1	NOUN
ejpam-2221	84	6	,	,	PUNCT
ejpam-2221	84	7	2,2	2,2	NUM
ejpam-2221	84	8	,	,	PUNCT
ejpam-2221	84	9	2,2	2,2	NUM
ejpam-2221	84	10	;	;	PUNCT
ejpam-2221	84	11	n	n	CCONJ
ejpam-2221	84	12	)	)	PUNCT
ejpam-2221	84	13	=	=	SYM
ejpam-2221	84	14	∑	∑	PUNCT
ejpam-2221	84	15	l	l	NOUN
ejpam-2221	84	16	,	,	PUNCT
ejpam-2221	84	17	m∈n0	m∈n0	NOUN
ejpam-2221	84	18	l+2m	l+2m	PROPN
ejpam-2221	84	19	=	=	SYM
ejpam-2221	84	20	n	n	PRON
ejpam-2221	84	21	r2(l)r5(m	r2(l)r5(m	PROPN
ejpam-2221	84	22	)	)	PUNCT
ejpam-2221	84	23	=	=	X
ejpam-2221	84	24	r1(0)r5	r1(0)r5	PROPN
ejpam-2221	84	25	(	(	PUNCT
ejpam-2221	84	26	n	n	NOUN
ejpam-2221	84	27	2	2	NUM
ejpam-2221	84	28	)	)	PUNCT
ejpam-2221	84	29	+	+	CCONJ
ejpam-2221	84	30	r1(n)r5(0	r1(n)r5(0	VERB
ejpam-2221	84	31	)	)	PUNCT
ejpam-2221	84	32	+	+	NUM
ejpam-2221	84	33	∑	∑	PROPN
ejpam-2221	84	34	l	l	NOUN
ejpam-2221	84	35	,	,	PUNCT
ejpam-2221	84	36	m∈n	m∈n	NOUN
ejpam-2221	84	37	l+2m	l+2m	PROPN
ejpam-2221	84	38	=	=	SYM
ejpam-2221	84	39	n	n	PRON
ejpam-2221	84	40	r2(l)r5(m	r2(l)r5(m	NOUN
ejpam-2221	84	41	)	)	PUNCT
ejpam-2221	84	42	.	.	PUNCT
ejpam-2221	85	1	thus	thus	ADV
ejpam-2221	85	2	by	by	ADP
ejpam-2221	85	3	using	use	VERB
ejpam-2221	85	4	the	the	DET
ejpam-2221	85	5	equations	equation	NOUN
ejpam-2221	85	6	(	(	PUNCT
ejpam-2221	85	7	9	9	NUM
ejpam-2221	85	8	)	)	PUNCT
ejpam-2221	85	9	and	and	CCONJ
ejpam-2221	85	10	(	(	PUNCT
ejpam-2221	85	11	12	12	NUM
ejpam-2221	85	12	)	)	PUNCT
ejpam-2221	85	13	we	we	PRON
ejpam-2221	85	14	have	have	VERB
ejpam-2221	85	15	m(1,1	m(1,1	NOUN
ejpam-2221	85	16	,	,	PUNCT
ejpam-2221	85	17	2,2	2,2	NUM
ejpam-2221	85	18	,	,	PUNCT
ejpam-2221	85	19	2,2	2,2	NUM
ejpam-2221	85	20	;	;	PUNCT
ejpam-2221	85	21	n)−(4σ(n)−	n)−(4σ(n)−	NOUN
ejpam-2221	85	22	4σ	4σ	NUM
ejpam-2221	85	23	(	(	PUNCT
ejpam-2221	85	24	n	n	NOUN
ejpam-2221	85	25	2	2	NUM
ejpam-2221	85	26	)	)	PUNCT
ejpam-2221	86	1	+	+	NUM
ejpam-2221	86	2	8σ	8σ	NOUN
ejpam-2221	86	3	(	(	PUNCT
ejpam-2221	86	4	n	n	ADV
ejpam-2221	86	5	4	4	NUM
ejpam-2221	86	6	)	)	PUNCT
ejpam-2221	86	7	−	−	PROPN
ejpam-2221	86	8	32σ	32σ	NUM
ejpam-2221	86	9	(	(	PUNCT
ejpam-2221	86	10	n	n	PRON
ejpam-2221	86	11	8	8	NUM
ejpam-2221	86	12	)	)	PUNCT
ejpam-2221	87	1	+	+	NUM
ejpam-2221	87	2	12σ(n)−	12σ(n)−	NUM
ejpam-2221	87	3	36σ	36σ	NOUN
ejpam-2221	87	4	(	(	PUNCT
ejpam-2221	87	5	n	n	PRON
ejpam-2221	87	6	3	3	NUM
ejpam-2221	87	7	)	)	PUNCT
ejpam-2221	87	8	)	)	PUNCT
ejpam-2221	88	1	=	=	PUNCT
ejpam-2221	88	2	∑	∑	PUNCT
ejpam-2221	88	3	l	l	NOUN
ejpam-2221	88	4	,	,	PUNCT
ejpam-2221	88	5	m∈n	m∈n	NOUN
ejpam-2221	88	6	l+2m	l+2m	PROPN
ejpam-2221	88	7	=	=	SYM
ejpam-2221	88	8	n	n	X
ejpam-2221	88	9	(	(	PUNCT
ejpam-2221	88	10	4σ(l)−	4σ(l)−	NUM
ejpam-2221	88	11	4σ	4σ	NUM
ejpam-2221	88	12	(	(	PUNCT
ejpam-2221	88	13	l	l	NOUN
ejpam-2221	88	14	2	2	NUM
ejpam-2221	88	15	)	)	PUNCT
ejpam-2221	88	16	+	+	NUM
ejpam-2221	88	17	8σ	8σ	NOUN
ejpam-2221	88	18	(	(	PUNCT
ejpam-2221	88	19	l	l	NOUN
ejpam-2221	88	20	4	4	NUM
ejpam-2221	88	21	)	)	PUNCT
ejpam-2221	88	22	−	−	PROPN
ejpam-2221	88	23	32σ	32σ	NOUN
ejpam-2221	88	24	(	(	PUNCT
ejpam-2221	88	25	l	l	NOUN
ejpam-2221	88	26	8	8	NUM
ejpam-2221	88	27	)	)	PUNCT
ejpam-2221	88	28	)	)	PUNCT
ejpam-2221	88	29	(	(	PUNCT
ejpam-2221	88	30	12σ(m)−	12σ(m)−	NUM
ejpam-2221	88	31	36σ	36σ	NUM
ejpam-2221	88	32	(	(	PUNCT
ejpam-2221	88	33	m	m	PROPN
ejpam-2221	88	34	3	3	NUM
ejpam-2221	88	35	)	)	PUNCT
ejpam-2221	88	36	)	)	PUNCT
ejpam-2221	89	1	=	=	SYM
ejpam-2221	89	2	48	48	NUM
ejpam-2221	89	3	∑	∑	PROPN
ejpam-2221	89	4	l	l	PROPN
ejpam-2221	89	5	,	,	PUNCT
ejpam-2221	89	6	m∈n	m∈n	NOUN
ejpam-2221	89	7	l+2m	l+2m	PROPN
ejpam-2221	89	8	=	=	SYM
ejpam-2221	89	9	n	n	X
ejpam-2221	89	10	σ(l)σ(m)−	σ(l)σ(m)−	NOUN
ejpam-2221	89	11	144	144	NUM
ejpam-2221	89	12	∑	∑	PROPN
ejpam-2221	89	13	l	l	PROPN
ejpam-2221	89	14	,	,	PUNCT
ejpam-2221	89	15	m∈n	m∈n	NOUN
ejpam-2221	89	16	l+2m	l+2m	PROPN
ejpam-2221	89	17	=	=	PROPN
ejpam-2221	89	18	n	n	PRON
ejpam-2221	89	19	σ(l)σ	σ(l)σ	PROPN
ejpam-2221	89	20	(	(	PUNCT
ejpam-2221	89	21	m	m	NOUN
ejpam-2221	89	22	3	3	NUM
ejpam-2221	89	23	)	)	PUNCT
ejpam-2221	89	24	−	−	PROPN
ejpam-2221	89	25	48	48	NUM
ejpam-2221	89	26	∑	∑	PROPN
ejpam-2221	89	27	l	l	PROPN
ejpam-2221	89	28	,	,	PUNCT
ejpam-2221	89	29	m∈n	m∈n	NOUN
ejpam-2221	89	30	l+2m	l+2m	PROPN
ejpam-2221	89	31	=	=	PROPN
ejpam-2221	89	32	n	n	PROPN
ejpam-2221	89	33	σ	σ	PROPN
ejpam-2221	89	34	(	(	PUNCT
ejpam-2221	89	35	l	l	PROPN
ejpam-2221	89	36	2	2	X
ejpam-2221	89	37	)	)	PUNCT
ejpam-2221	89	38	σ(m	σ(m	NOUN
ejpam-2221	89	39	)	)	PUNCT
ejpam-2221	90	1	+	+	CCONJ
ejpam-2221	90	2	144	144	NUM
ejpam-2221	90	3	∑	∑	PUNCT
ejpam-2221	90	4	l	l	NOUN
ejpam-2221	90	5	,	,	PUNCT
ejpam-2221	90	6	m∈n	m∈n	NOUN
ejpam-2221	90	7	l+2m	l+2m	PROPN
ejpam-2221	90	8	=	=	PROPN
ejpam-2221	90	9	n	n	PROPN
ejpam-2221	90	10	σ	σ	PROPN
ejpam-2221	90	11	(	(	PUNCT
ejpam-2221	90	12	l	l	PROPN
ejpam-2221	90	13	2	2	NUM
ejpam-2221	90	14	)	)	PUNCT
ejpam-2221	90	15	σ	σ	PROPN
ejpam-2221	90	16	(	(	PUNCT
ejpam-2221	90	17	m	m	PROPN
ejpam-2221	90	18	3	3	NUM
ejpam-2221	90	19	)	)	PUNCT
ejpam-2221	91	1	+	+	CCONJ
ejpam-2221	91	2	96	96	NUM
ejpam-2221	91	3	∑	∑	SYM
ejpam-2221	91	4	l	l	NOUN
ejpam-2221	91	5	,	,	PUNCT
ejpam-2221	91	6	m∈n	m∈n	NOUN
ejpam-2221	91	7	l+2m	l+2m	PROPN
ejpam-2221	91	8	=	=	PROPN
ejpam-2221	91	9	n	n	PROPN
ejpam-2221	91	10	σ	σ	PROPN
ejpam-2221	91	11	(	(	PUNCT
ejpam-2221	91	12	l	l	NOUN
ejpam-2221	91	13	4	4	NUM
ejpam-2221	91	14	)	)	PUNCT
ejpam-2221	91	15	σ(m)−	σ(m)−	NOUN
ejpam-2221	91	16	288	288	NUM
ejpam-2221	91	17	∑	∑	PROPN
ejpam-2221	91	18	l	l	PROPN
ejpam-2221	91	19	,	,	PUNCT
ejpam-2221	91	20	m∈n	m∈n	NOUN
ejpam-2221	91	21	l+2m	l+2m	PROPN
ejpam-2221	91	22	=	=	PROPN
ejpam-2221	91	23	n	n	PROPN
ejpam-2221	91	24	σ	σ	PROPN
ejpam-2221	91	25	(	(	PUNCT
ejpam-2221	91	26	l	l	PROPN
ejpam-2221	91	27	4	4	NUM
ejpam-2221	91	28	)	)	PUNCT
ejpam-2221	91	29	σ	σ	PROPN
ejpam-2221	91	30	(	(	PUNCT
ejpam-2221	91	31	m	m	PROPN
ejpam-2221	91	32	3	3	NUM
ejpam-2221	91	33	)	)	PUNCT
ejpam-2221	91	34	−	−	ADP
ejpam-2221	91	35	384	384	NUM
ejpam-2221	91	36	∑	∑	PROPN
ejpam-2221	91	37	l	l	NOUN
ejpam-2221	91	38	,	,	PUNCT
ejpam-2221	91	39	m∈n	m∈n	NOUN
ejpam-2221	91	40	l+2m	l+2m	PROPN
ejpam-2221	91	41	=	=	PROPN
ejpam-2221	91	42	n	n	PROPN
ejpam-2221	91	43	σ	σ	PROPN
ejpam-2221	91	44	(	(	PUNCT
ejpam-2221	91	45	l	l	NOUN
ejpam-2221	91	46	8	8	NUM
ejpam-2221	91	47	)	)	PUNCT
ejpam-2221	91	48	σ(m	σ(m	NOUN
ejpam-2221	91	49	)	)	PUNCT
ejpam-2221	92	1	+	+	CCONJ
ejpam-2221	92	2	1156	1156	NUM
ejpam-2221	92	3	∑	∑	SYM
ejpam-2221	92	4	l	l	NOUN
ejpam-2221	92	5	,	,	PUNCT
ejpam-2221	92	6	m∈n	m∈n	NOUN
ejpam-2221	92	7	l+2m	l+2m	PROPN
ejpam-2221	92	8	=	=	PROPN
ejpam-2221	92	9	n	n	PROPN
ejpam-2221	92	10	σ	σ	PROPN
ejpam-2221	92	11	(	(	PUNCT
ejpam-2221	92	12	l	l	NOUN
ejpam-2221	92	13	8	8	NUM
ejpam-2221	92	14	)	)	PUNCT
ejpam-2221	92	15	σ	σ	PROPN
ejpam-2221	92	16	(	(	PUNCT
ejpam-2221	92	17	m	m	PROPN
ejpam-2221	92	18	3	3	NUM
ejpam-2221	92	19	)	)	PUNCT
ejpam-2221	92	20	.	.	PUNCT
ejpam-2221	93	1	so	so	ADV
ejpam-2221	93	2	,	,	PUNCT
ejpam-2221	93	3	m(1	m(1	NOUN
ejpam-2221	93	4	,	,	PUNCT
ejpam-2221	93	5	1,2	1,2	NUM
ejpam-2221	93	6	,	,	PUNCT
ejpam-2221	93	7	2,2	2,2	NUM
ejpam-2221	93	8	,	,	PUNCT
ejpam-2221	93	9	2	2	NUM
ejpam-2221	93	10	;	;	PUNCT
ejpam-2221	93	11	n	n	CCONJ
ejpam-2221	93	12	)	)	PUNCT
ejpam-2221	94	1	=	=	NOUN
ejpam-2221	94	2	4σ(n)−	4σ(n)−	NUM
ejpam-2221	94	3	4σ	4σ	NUM
ejpam-2221	94	4	(	(	PUNCT
ejpam-2221	94	5	n	n	NOUN
ejpam-2221	94	6	2	2	NUM
ejpam-2221	94	7	)	)	PUNCT
ejpam-2221	94	8	+	+	NUM
ejpam-2221	94	9	8σ	8σ	NOUN
ejpam-2221	94	10	(	(	PUNCT
ejpam-2221	94	11	n	n	ADV
ejpam-2221	94	12	4	4	NUM
ejpam-2221	94	13	)	)	PUNCT
ejpam-2221	94	14	−	−	PROPN
ejpam-2221	94	15	32σ	32σ	NUM
ejpam-2221	94	16	(	(	PUNCT
ejpam-2221	94	17	n	n	PRON
ejpam-2221	94	18	8	8	NUM
ejpam-2221	94	19	)	)	PUNCT
ejpam-2221	94	20	+	+	CCONJ
ejpam-2221	94	21	12σ(n	12σ(n	NUM
ejpam-2221	94	22	)	)	PUNCT
ejpam-2221	94	23	b.	b.	NOUN
ejpam-2221	95	1	köklüce	köklüce	PROPN
ejpam-2221	95	2	/	/	SYM
ejpam-2221	95	3	eur	eur	PROPN
ejpam-2221	95	4	.	.	PUNCT
ejpam-2221	96	1	j.	j.	PROPN
ejpam-2221	96	2	pure	pure	PROPN
ejpam-2221	96	3	appl	appl	PROPN
ejpam-2221	96	4	.	.	PROPN
ejpam-2221	96	5	math	math	PROPN
ejpam-2221	96	6	,	,	PUNCT
ejpam-2221	96	7	7	7	NUM
ejpam-2221	96	8	(	(	PUNCT
ejpam-2221	96	9	2014	2014	NUM
ejpam-2221	96	10	)	)	PUNCT
ejpam-2221	96	11	,	,	PUNCT
ejpam-2221	96	12	304	304	NUM
ejpam-2221	96	13	-	-	SYM
ejpam-2221	96	14	311	311	NUM
ejpam-2221	96	15	309	309	NUM
ejpam-2221	96	16	−	−	NOUN
ejpam-2221	96	17	36σ	36σ	NUM
ejpam-2221	96	18	(	(	PUNCT
ejpam-2221	96	19	n	n	PRON
ejpam-2221	96	20	3	3	NUM
ejpam-2221	96	21	)	)	PUNCT
ejpam-2221	97	1	+	+	CCONJ
ejpam-2221	97	2	48w1,2(n)−	48w1,2(n)−	NUM
ejpam-2221	97	3	144w1,6(n)−	144w1,6(n)−	NUM
ejpam-2221	97	4	48w1,1	48w1,1	NUM
ejpam-2221	97	5	(	(	PUNCT
ejpam-2221	97	6	n	n	NOUN
ejpam-2221	97	7	2	2	NUM
ejpam-2221	97	8	)	)	PUNCT
ejpam-2221	97	9	+	+	CCONJ
ejpam-2221	98	1	144w1,3	144w1,3	NUM
ejpam-2221	98	2	(	(	PUNCT
ejpam-2221	98	3	n	n	NOUN
ejpam-2221	98	4	2	2	NUM
ejpam-2221	98	5	)	)	PUNCT
ejpam-2221	99	1	+	+	CCONJ
ejpam-2221	100	1	96w1,2	96w1,2	NUM
ejpam-2221	100	2	(	(	PUNCT
ejpam-2221	100	3	n	n	ADV
ejpam-2221	100	4	2	2	NUM
ejpam-2221	100	5	)	)	PUNCT
ejpam-2221	100	6	−	−	PROPN
ejpam-2221	101	1	288w2,3	288w2,3	NUM
ejpam-2221	101	2	(	(	PUNCT
ejpam-2221	101	3	n	n	NOUN
ejpam-2221	101	4	2	2	NUM
ejpam-2221	101	5	)	)	PUNCT
ejpam-2221	101	6	−	−	PROPN
ejpam-2221	102	1	384w1,4	384w1,4	PROPN
ejpam-2221	102	2	(	(	PUNCT
ejpam-2221	102	3	n	n	NOUN
ejpam-2221	102	4	2	2	NUM
ejpam-2221	102	5	)	)	PUNCT
ejpam-2221	103	1	+	+	CCONJ
ejpam-2221	103	2	1156w3,4	1156w3,4	NUM
ejpam-2221	103	3	(	(	PUNCT
ejpam-2221	103	4	n	n	PROPN
ejpam-2221	103	5	2	2	NUM
ejpam-2221	103	6	)	)	PUNCT
ejpam-2221	103	7	(	(	PUNCT
ejpam-2221	103	8	13	13	NUM
ejpam-2221	103	9	)	)	PUNCT
ejpam-2221	103	10	where	where	SCONJ
ejpam-2221	103	11	w1,1(n	w1,1(n	NOUN
ejpam-2221	103	12	)	)	PUNCT
ejpam-2221	103	13	=	=	SYM
ejpam-2221	103	14	5	5	NUM
ejpam-2221	103	15	12	12	NUM
ejpam-2221	103	16	σ3(n)−	σ3(n)−	NOUN
ejpam-2221	103	17	n	n	CCONJ
ejpam-2221	103	18	2	2	NUM
ejpam-2221	103	19	σ(n	σ(n	NOUN
ejpam-2221	103	20	)	)	PUNCT
ejpam-2221	103	21	+	+	CCONJ
ejpam-2221	103	22	1	1	NUM
ejpam-2221	103	23	12	12	NUM
ejpam-2221	103	24	σ(n	σ(n	NOUN
ejpam-2221	103	25	)	)	PUNCT
ejpam-2221	103	26	,	,	PUNCT
ejpam-2221	103	27	(	(	PUNCT
ejpam-2221	103	28	14	14	X
ejpam-2221	103	29	)	)	PUNCT
ejpam-2221	103	30	w1,2(n	w1,2(n	PROPN
ejpam-2221	103	31	)	)	PUNCT
ejpam-2221	103	32	=	=	SYM
ejpam-2221	103	33	1	1	NUM
ejpam-2221	103	34	12	12	NUM
ejpam-2221	103	35	σ3(n	σ3(n	NOUN
ejpam-2221	103	36	)	)	PUNCT
ejpam-2221	103	37	+	+	CCONJ
ejpam-2221	103	38	1	1	NUM
ejpam-2221	103	39	3	3	NUM
ejpam-2221	103	40	σ3	σ3	PROPN
ejpam-2221	103	41	(	(	PUNCT
ejpam-2221	103	42	n	n	NOUN
ejpam-2221	103	43	2	2	NUM
ejpam-2221	103	44	)	)	PUNCT
ejpam-2221	103	45	−	−	PROPN
ejpam-2221	103	46	n	n	SYM
ejpam-2221	103	47	8	8	NUM
ejpam-2221	103	48	σ(n)−	σ(n)−	NOUN
ejpam-2221	103	49	n	n	ADP
ejpam-2221	103	50	4	4	NUM
ejpam-2221	103	51	σ	σ	NOUN
ejpam-2221	103	52	(	(	PUNCT
ejpam-2221	103	53	n	n	NOUN
ejpam-2221	103	54	2	2	NUM
ejpam-2221	103	55	)	)	PUNCT
ejpam-2221	104	1	+	+	CCONJ
ejpam-2221	104	2	1	1	NUM
ejpam-2221	104	3	24	24	NUM
ejpam-2221	104	4	σ(n	σ(n	NOUN
ejpam-2221	104	5	)	)	PUNCT
ejpam-2221	105	1	+	+	CCONJ
ejpam-2221	105	2	1	1	NUM
ejpam-2221	105	3	24	24	NUM
ejpam-2221	105	4	σ	σ	NOUN
ejpam-2221	105	5	(	(	PUNCT
ejpam-2221	105	6	n	n	PROPN
ejpam-2221	105	7	2	2	NUM
ejpam-2221	105	8	)	)	PUNCT
ejpam-2221	105	9	,	,	PUNCT
ejpam-2221	105	10	(	(	PUNCT
ejpam-2221	105	11	15	15	X
ejpam-2221	105	12	)	)	PUNCT
ejpam-2221	105	13	w1,3(n	w1,3(n	NOUN
ejpam-2221	105	14	)	)	PUNCT
ejpam-2221	105	15	=	=	SYM
ejpam-2221	105	16	1	1	NUM
ejpam-2221	105	17	24	24	NUM
ejpam-2221	105	18	σ3(n	σ3(n	NOUN
ejpam-2221	105	19	)	)	PUNCT
ejpam-2221	105	20	+	+	CCONJ
ejpam-2221	105	21	3	3	NUM
ejpam-2221	105	22	8	8	NUM
ejpam-2221	105	23	σ3	σ3	PROPN
ejpam-2221	105	24	(	(	PUNCT
ejpam-2221	105	25	n	n	NOUN
ejpam-2221	105	26	3	3	NUM
ejpam-2221	105	27	)	)	PUNCT
ejpam-2221	105	28	−	−	PROPN
ejpam-2221	105	29	1	1	NUM
ejpam-2221	105	30	12	12	NUM
ejpam-2221	105	31	nσ(n)−	nσ(n)−	NOUN
ejpam-2221	105	32	1	1	NUM
ejpam-2221	105	33	4	4	NUM
ejpam-2221	105	34	nσ	nσ	PROPN
ejpam-2221	105	35	(	(	PUNCT
ejpam-2221	105	36	n	n	NOUN
ejpam-2221	105	37	3	3	NUM
ejpam-2221	105	38	)	)	PUNCT
ejpam-2221	106	1	+	+	CCONJ
ejpam-2221	106	2	1	1	NUM
ejpam-2221	106	3	24	24	NUM
ejpam-2221	106	4	σ(n	σ(n	NOUN
ejpam-2221	106	5	)	)	PUNCT
ejpam-2221	107	1	+	+	CCONJ
ejpam-2221	107	2	1	1	NUM
ejpam-2221	107	3	24	24	NUM
ejpam-2221	107	4	σ	σ	NOUN
ejpam-2221	107	5	(	(	PUNCT
ejpam-2221	107	6	n	n	PROPN
ejpam-2221	107	7	3	3	NUM
ejpam-2221	107	8	)	)	PUNCT
ejpam-2221	107	9	,	,	PUNCT
ejpam-2221	107	10	(	(	PUNCT
ejpam-2221	107	11	16	16	X
ejpam-2221	107	12	)	)	PUNCT
ejpam-2221	107	13	w1,4(n	w1,4(n	PROPN
ejpam-2221	107	14	)	)	PUNCT
ejpam-2221	107	15	=	=	SYM
ejpam-2221	108	1	1	1	NUM
ejpam-2221	108	2	48	48	NUM
ejpam-2221	108	3	σ3(n	σ3(n	NOUN
ejpam-2221	108	4	)	)	PUNCT
ejpam-2221	108	5	+	+	CCONJ
ejpam-2221	108	6	1	1	NUM
ejpam-2221	108	7	16	16	NUM
ejpam-2221	108	8	σ3	σ3	PROPN
ejpam-2221	108	9	(	(	PUNCT
ejpam-2221	108	10	n	n	NOUN
ejpam-2221	108	11	2	2	NUM
ejpam-2221	108	12	)	)	PUNCT
ejpam-2221	108	13	+	+	CCONJ
ejpam-2221	108	14	1	1	NUM
ejpam-2221	108	15	3	3	NUM
ejpam-2221	108	16	σ	σ	NOUN
ejpam-2221	108	17	(	(	PUNCT
ejpam-2221	108	18	n	n	PROPN
ejpam-2221	108	19	4	4	NUM
ejpam-2221	108	20	)	)	PUNCT
ejpam-2221	108	21	−	−	PROPN
ejpam-2221	108	22	n	n	NUM
ejpam-2221	108	23	16	16	NUM
ejpam-2221	108	24	σ(n)−	σ(n)−	NOUN
ejpam-2221	108	25	n	n	ADP
ejpam-2221	108	26	4	4	NUM
ejpam-2221	108	27	σ	σ	NOUN
ejpam-2221	108	28	(	(	PUNCT
ejpam-2221	108	29	n	n	ADV
ejpam-2221	108	30	4	4	NUM
ejpam-2221	108	31	)	)	PUNCT
ejpam-2221	108	32	+	+	CCONJ
ejpam-2221	108	33	1	1	NUM
ejpam-2221	108	34	24	24	NUM
ejpam-2221	108	35	σ(n	σ(n	NOUN
ejpam-2221	108	36	)	)	PUNCT
ejpam-2221	109	1	+	+	CCONJ
ejpam-2221	109	2	1	1	NUM
ejpam-2221	109	3	24	24	NUM
ejpam-2221	109	4	σ	σ	NOUN
ejpam-2221	109	5	(	(	PUNCT
ejpam-2221	109	6	n	n	PROPN
ejpam-2221	109	7	4	4	NUM
ejpam-2221	109	8	)	)	PUNCT
ejpam-2221	109	9	,	,	PUNCT
ejpam-2221	109	10	(	(	PUNCT
ejpam-2221	109	11	17	17	NUM
ejpam-2221	109	12	)	)	PUNCT
ejpam-2221	109	13	w1,6(n	w1,6(n	NOUN
ejpam-2221	109	14	)	)	PUNCT
ejpam-2221	109	15	=	=	SYM
ejpam-2221	109	16	1	1	NUM
ejpam-2221	109	17	120	120	NUM
ejpam-2221	109	18	σ3(n	σ3(n	NOUN
ejpam-2221	109	19	)	)	PUNCT
ejpam-2221	109	20	+	+	CCONJ
ejpam-2221	109	21	1	1	NUM
ejpam-2221	109	22	30	30	NUM
ejpam-2221	109	23	σ3	σ3	NOUN
ejpam-2221	109	24	(	(	PUNCT
ejpam-2221	109	25	n	n	NOUN
ejpam-2221	109	26	2	2	NUM
ejpam-2221	109	27	)	)	PUNCT
ejpam-2221	109	28	+	+	CCONJ
ejpam-2221	109	29	3	3	NUM
ejpam-2221	109	30	40	40	NUM
ejpam-2221	109	31	σ3	σ3	PROPN
ejpam-2221	109	32	(	(	PUNCT
ejpam-2221	109	33	n	n	NOUN
ejpam-2221	109	34	3	3	NUM
ejpam-2221	109	35	)	)	PUNCT
ejpam-2221	110	1	+	+	CCONJ
ejpam-2221	110	2	3	3	NUM
ejpam-2221	110	3	10	10	NUM
ejpam-2221	110	4	σ3	σ3	PROPN
ejpam-2221	110	5	(	(	PUNCT
ejpam-2221	110	6	n	n	PROPN
ejpam-2221	110	7	6	6	NUM
ejpam-2221	110	8	)	)	PUNCT
ejpam-2221	110	9	+	+	CCONJ
ejpam-2221	110	10	(	(	PUNCT
ejpam-2221	110	11	1	1	NUM
ejpam-2221	110	12	24	24	NUM
ejpam-2221	110	13	−	−	NOUN
ejpam-2221	110	14	n	n	PRON
ejpam-2221	110	15	24	24	NUM
ejpam-2221	110	16	)	)	PUNCT
ejpam-2221	110	17	σ(n	σ(n	PROPN
ejpam-2221	110	18	)	)	PUNCT
ejpam-2221	111	1	+	+	CCONJ
ejpam-2221	111	2	(	(	PUNCT
ejpam-2221	111	3	1	1	NUM
ejpam-2221	111	4	24	24	NUM
ejpam-2221	111	5	−	−	NOUN
ejpam-2221	111	6	n	n	PRON
ejpam-2221	111	7	4	4	NUM
ejpam-2221	111	8	)	)	PUNCT
ejpam-2221	111	9	σ	σ	PROPN
ejpam-2221	111	10	(	(	PUNCT
ejpam-2221	111	11	n	n	PROPN
ejpam-2221	111	12	6	6	NUM
ejpam-2221	111	13	)	)	PUNCT
ejpam-2221	111	14	−	−	PROPN
ejpam-2221	111	15	1	1	NUM
ejpam-2221	111	16	120	120	NUM
ejpam-2221	111	17	c1,6(n	c1,6(n	PROPN
ejpam-2221	111	18	)	)	PUNCT
ejpam-2221	111	19	(	(	PUNCT
ejpam-2221	111	20	18	18	NUM
ejpam-2221	111	21	)	)	PUNCT
ejpam-2221	111	22	w2,3(n	w2,3(n	NOUN
ejpam-2221	111	23	)	)	PUNCT
ejpam-2221	111	24	=	=	SYM
ejpam-2221	111	25	1	1	NUM
ejpam-2221	111	26	120	120	NUM
ejpam-2221	111	27	σ3(n	σ3(n	NOUN
ejpam-2221	111	28	)	)	PUNCT
ejpam-2221	111	29	+	+	CCONJ
ejpam-2221	111	30	1	1	NUM
ejpam-2221	111	31	30	30	NUM
ejpam-2221	111	32	σ3	σ3	NOUN
ejpam-2221	111	33	(	(	PUNCT
ejpam-2221	111	34	n	n	NOUN
ejpam-2221	111	35	2	2	NUM
ejpam-2221	111	36	)	)	PUNCT
ejpam-2221	111	37	+	+	CCONJ
ejpam-2221	111	38	3	3	NUM
ejpam-2221	111	39	40	40	NUM
ejpam-2221	111	40	σ3	σ3	PROPN
ejpam-2221	111	41	(	(	PUNCT
ejpam-2221	111	42	n	n	NOUN
ejpam-2221	111	43	3	3	NUM
ejpam-2221	111	44	)	)	PUNCT
ejpam-2221	111	45	+	+	CCONJ
ejpam-2221	111	46	3	3	NUM
ejpam-2221	111	47	10	10	NUM
ejpam-2221	111	48	σ3	σ3	PROPN
ejpam-2221	111	49	(	(	PUNCT
ejpam-2221	111	50	n	n	PROPN
ejpam-2221	111	51	6	6	NUM
ejpam-2221	111	52	)	)	PUNCT
ejpam-2221	111	53	+	+	CCONJ
ejpam-2221	111	54	(	(	PUNCT
ejpam-2221	111	55	1	1	NUM
ejpam-2221	111	56	24	24	NUM
ejpam-2221	111	57	−	−	NOUN
ejpam-2221	111	58	n	n	PRON
ejpam-2221	111	59	12	12	NUM
ejpam-2221	111	60	)	)	PUNCT
ejpam-2221	111	61	σ	σ	PROPN
ejpam-2221	111	62	(	(	PUNCT
ejpam-2221	111	63	n	n	PROPN
ejpam-2221	111	64	2	2	NUM
ejpam-2221	111	65	)	)	PUNCT
ejpam-2221	112	1	+	+	CCONJ
ejpam-2221	112	2	(	(	PUNCT
ejpam-2221	112	3	1	1	NUM
ejpam-2221	112	4	24	24	NUM
ejpam-2221	112	5	−	−	NOUN
ejpam-2221	112	6	n	n	PRON
ejpam-2221	112	7	8	8	NUM
ejpam-2221	112	8	)	)	PUNCT
ejpam-2221	112	9	σ	σ	PROPN
ejpam-2221	112	10	(	(	PUNCT
ejpam-2221	112	11	n	n	PROPN
ejpam-2221	112	12	3	3	NUM
ejpam-2221	112	13	)	)	PUNCT
ejpam-2221	112	14	−	−	PROPN
ejpam-2221	112	15	1	1	NUM
ejpam-2221	112	16	120	120	NUM
ejpam-2221	112	17	c1,6(n	c1,6(n	PROPN
ejpam-2221	112	18	)	)	PUNCT
ejpam-2221	112	19	,	,	PUNCT
ejpam-2221	112	20	(	(	PUNCT
ejpam-2221	112	21	19	19	NUM
ejpam-2221	112	22	)	)	PUNCT
ejpam-2221	112	23	where	where	SCONJ
ejpam-2221	112	24	∞	∞	PROPN
ejpam-2221	112	25	∑	∑	SYM
ejpam-2221	112	26	n=1	n=1	PROPN
ejpam-2221	112	27	c1,6(n)q	c1,6(n)q	VERB
ejpam-2221	112	28	n	n	NOUN
ejpam-2221	112	29	=	=	SYM
ejpam-2221	112	30	q	q	PROPN
ejpam-2221	112	31	∞	∞	PROPN
ejpam-2221	112	32	∏	∏	NUM
ejpam-2221	112	33	n=1	n=1	PROPN
ejpam-2221	112	34	(	(	PUNCT
ejpam-2221	112	35	1−	1−	NUM
ejpam-2221	112	36	qn)2(1−	qn)2(1−	ADV
ejpam-2221	112	37	q2n)2(1−	q2n)2(1−	PROPN
ejpam-2221	112	38	q3n)2(1−	q3n)2(1−	PROPN
ejpam-2221	112	39	q6n)2	q6n)2	PROPN
ejpam-2221	112	40	,	,	PUNCT
ejpam-2221	112	41	(	(	PUNCT
ejpam-2221	112	42	20	20	NUM
ejpam-2221	112	43	)	)	PUNCT
ejpam-2221	112	44	and	and	CCONJ
ejpam-2221	112	45	w3,4(n	w3,4(n	ADJ
ejpam-2221	112	46	)	)	PUNCT
ejpam-2221	112	47	=	=	SYM
ejpam-2221	112	48	1	1	NUM
ejpam-2221	112	49	480	480	NUM
ejpam-2221	112	50	σ3(n	σ3(n	NOUN
ejpam-2221	112	51	)	)	PUNCT
ejpam-2221	112	52	+	+	CCONJ
ejpam-2221	112	53	1	1	NUM
ejpam-2221	112	54	160	160	NUM
ejpam-2221	112	55	σ3	σ3	NOUN
ejpam-2221	112	56	(	(	PUNCT
ejpam-2221	112	57	n	n	NOUN
ejpam-2221	112	58	2	2	NUM
ejpam-2221	112	59	)	)	PUNCT
ejpam-2221	112	60	+	+	CCONJ
ejpam-2221	112	61	3	3	NUM
ejpam-2221	112	62	160	160	NUM
ejpam-2221	112	63	σ3	σ3	PROPN
ejpam-2221	112	64	(	(	PUNCT
ejpam-2221	112	65	n	n	NOUN
ejpam-2221	112	66	3	3	NUM
ejpam-2221	112	67	)	)	PUNCT
ejpam-2221	112	68	+	+	CCONJ
ejpam-2221	112	69	1	1	NUM
ejpam-2221	112	70	30	30	NUM
ejpam-2221	112	71	σ3	σ3	NOUN
ejpam-2221	112	72	(	(	PUNCT
ejpam-2221	112	73	n	n	ADV
ejpam-2221	112	74	4	4	NUM
ejpam-2221	112	75	)	)	PUNCT
ejpam-2221	112	76	+	+	CCONJ
ejpam-2221	112	77	9	9	NUM
ejpam-2221	112	78	160	160	NUM
ejpam-2221	112	79	σ3	σ3	NOUN
ejpam-2221	112	80	(	(	PUNCT
ejpam-2221	112	81	n	n	PROPN
ejpam-2221	112	82	6	6	NUM
ejpam-2221	112	83	)	)	PUNCT
ejpam-2221	112	84	+	+	CCONJ
ejpam-2221	112	85	3	3	NUM
ejpam-2221	112	86	10	10	NUM
ejpam-2221	112	87	σ3	σ3	PROPN
ejpam-2221	112	88	(	(	PUNCT
ejpam-2221	112	89	n	n	PROPN
ejpam-2221	112	90	12	12	NUM
ejpam-2221	112	91	)	)	PUNCT
ejpam-2221	112	92	+	+	CCONJ
ejpam-2221	112	93	(	(	PUNCT
ejpam-2221	112	94	1	1	NUM
ejpam-2221	112	95	24	24	NUM
ejpam-2221	112	96	−	−	NOUN
ejpam-2221	112	97	n	n	PRON
ejpam-2221	112	98	16	16	NUM
ejpam-2221	112	99	)	)	PUNCT
ejpam-2221	112	100	σ	σ	PROPN
ejpam-2221	112	101	(	(	PUNCT
ejpam-2221	112	102	n	n	PROPN
ejpam-2221	112	103	3	3	NUM
ejpam-2221	112	104	)	)	PUNCT
ejpam-2221	113	1	+	+	CCONJ
ejpam-2221	113	2	(	(	PUNCT
ejpam-2221	113	3	1	1	NUM
ejpam-2221	113	4	24	24	NUM
ejpam-2221	113	5	−	−	NOUN
ejpam-2221	113	6	n	n	DET
ejpam-2221	113	7	12	12	NUM
ejpam-2221	113	8	)	)	PUNCT
ejpam-2221	113	9	σ	σ	PROPN
ejpam-2221	113	10	(	(	PUNCT
ejpam-2221	113	11	n	n	PROPN
ejpam-2221	113	12	4	4	NUM
ejpam-2221	113	13	)	)	PUNCT
ejpam-2221	113	14	−	−	PROPN
ejpam-2221	113	15	1	1	NUM
ejpam-2221	113	16	480	480	NUM
ejpam-2221	113	17	c3,4(n	c3,4(n	PROPN
ejpam-2221	113	18	)	)	PUNCT
ejpam-2221	113	19	,	,	PUNCT
ejpam-2221	113	20	(	(	PUNCT
ejpam-2221	113	21	21	21	NUM
ejpam-2221	113	22	)	)	PUNCT
ejpam-2221	113	23	where	where	SCONJ
ejpam-2221	113	24	∞	∞	PROPN
ejpam-2221	113	25	∑	∑	PROPN
ejpam-2221	113	26	n=1	n=1	PROPN
ejpam-2221	113	27	c3,4(n)q	c3,4(n)q	NOUN
ejpam-2221	113	28	n	n	PROPN
ejpam-2221	113	29	=	=	PROPN
ejpam-2221	113	30	10q2	10q2	NUM
ejpam-2221	113	31	∞	∞	NUM
ejpam-2221	113	32	∏	∏	PROPN
ejpam-2221	113	33	n=1	n=1	PROPN
ejpam-2221	113	34	(	(	PUNCT
ejpam-2221	113	35	1−	1−	NUM
ejpam-2221	113	36	qn)3(1−	qn)3(1−	NOUN
ejpam-2221	113	37	q2n)2(1−	q2n)2(1−	VERB
ejpam-2221	113	38	q3n)−1(1−	q3n)−1(1−	PROPN
ejpam-2221	113	39	q4n)−1(1−	q4n)−1(1−	VERB
ejpam-2221	113	40	q6n)2(1−	q6n)2(1−	NOUN
ejpam-2221	113	41	q12n)3	q12n)3	PROPN
ejpam-2221	113	42	references	reference	NOUN
ejpam-2221	113	43	310	310	NUM
ejpam-2221	113	44	+	+	NOUN
ejpam-2221	113	45	q	q	PROPN
ejpam-2221	113	46	∞	∞	PROPN
ejpam-2221	113	47	∏	∏	NUM
ejpam-2221	113	48	n=1	n=1	PROPN
ejpam-2221	113	49	(	(	PUNCT
ejpam-2221	113	50	1−	1−	NUM
ejpam-2221	113	51	qn)−2(1−	qn)−2(1−	ADJ
ejpam-2221	113	52	q2n)8(1−	q2n)8(1−	PROPN
ejpam-2221	113	53	q3n)−2(1−	q3n)−2(1−	NOUN
ejpam-2221	113	54	q4n)−2(1−	q4n)−2(1−	NOUN
ejpam-2221	113	55	q6n)8(1−	q6n)8(1−	PROPN
ejpam-2221	113	56	q12n)−2	q12n)−2	NOUN
ejpam-2221	113	57	.	.	PUNCT
ejpam-2221	114	1	(	(	PUNCT
ejpam-2221	114	2	22	22	NUM
ejpam-2221	114	3	)	)	PUNCT
ejpam-2221	114	4	in	in	ADP
ejpam-2221	114	5	any	any	DET
ejpam-2221	114	6	formula	formula	NOUN
ejpam-2221	114	7	n	n	PRON
ejpam-2221	114	8	∈	∈	NOUN
ejpam-2221	114	9	n	n	NOUN
ejpam-2221	114	10	and	and	CCONJ
ejpam-2221	114	11	q	q	PROPN
ejpam-2221	114	12	∈	∈	PROPN
ejpam-2221	114	13	c.	c.	NOUN
ejpam-2221	114	14	substituting	substituting	NOUN
ejpam-2221	114	15	(	(	PUNCT
ejpam-2221	114	16	14)-(22	14)-(22	NUM
ejpam-2221	114	17	)	)	PUNCT
ejpam-2221	114	18	in	in	ADP
ejpam-2221	114	19	(	(	PUNCT
ejpam-2221	114	20	13	13	NUM
ejpam-2221	114	21	)	)	PUNCT
ejpam-2221	114	22	gives	give	VERB
ejpam-2221	114	23	m(1	m(1	PROPN
ejpam-2221	114	24	,	,	PUNCT
ejpam-2221	114	25	1,2,2	1,2,2	NUM
ejpam-2221	114	26	,	,	PUNCT
ejpam-2221	114	27	2,2	2,2	NUM
ejpam-2221	114	28	;	;	PUNCT
ejpam-2221	114	29	n	n	CCONJ
ejpam-2221	114	30	)	)	PUNCT
ejpam-2221	114	31	=	=	SYM
ejpam-2221	114	32	14	14	NUM
ejpam-2221	114	33	5	5	NUM
ejpam-2221	114	34	σ3(n)−	σ3(n)−	SYM
ejpam-2221	114	35	14	14	NUM
ejpam-2221	114	36	5	5	NUM
ejpam-2221	114	37	σ3	σ3	PROPN
ejpam-2221	114	38	(	(	PUNCT
ejpam-2221	114	39	n	n	NOUN
ejpam-2221	114	40	2	2	NUM
ejpam-2221	114	41	)	)	PUNCT
ejpam-2221	114	42	−	−	PROPN
ejpam-2221	114	43	54	54	NUM
ejpam-2221	114	44	5	5	NUM
ejpam-2221	114	45	σ3	σ3	PROPN
ejpam-2221	114	46	(	(	PUNCT
ejpam-2221	114	47	n	n	NOUN
ejpam-2221	114	48	3	3	NUM
ejpam-2221	114	49	)	)	PUNCT
ejpam-2221	115	1	+	+	CCONJ
ejpam-2221	115	2	28	28	NUM
ejpam-2221	115	3	5	5	NUM
ejpam-2221	115	4	σ3	σ3	PROPN
ejpam-2221	115	5	(	(	PUNCT
ejpam-2221	115	6	n	n	ADV
ejpam-2221	115	7	4	4	NUM
ejpam-2221	115	8	)	)	PUNCT
ejpam-2221	115	9	+	+	CCONJ
ejpam-2221	115	10	54	54	NUM
ejpam-2221	115	11	5	5	NUM
ejpam-2221	115	12	σ3	σ3	PROPN
ejpam-2221	115	13	(	(	PUNCT
ejpam-2221	115	14	n	n	PROPN
ejpam-2221	115	15	6	6	NUM
ejpam-2221	115	16	)	)	PUNCT
ejpam-2221	115	17	−	−	PROPN
ejpam-2221	115	18	448	448	NUM
ejpam-2221	115	19	5	5	NUM
ejpam-2221	115	20	σ3	σ3	PROPN
ejpam-2221	115	21	(	(	PUNCT
ejpam-2221	115	22	n	n	NOUN
ejpam-2221	115	23	8	8	NUM
ejpam-2221	115	24	)	)	PUNCT
ejpam-2221	115	25	−	−	PROPN
ejpam-2221	115	26	108	108	NUM
ejpam-2221	115	27	5	5	NUM
ejpam-2221	115	28	σ3	σ3	PROPN
ejpam-2221	115	29	(	(	PUNCT
ejpam-2221	115	30	n	n	PROPN
ejpam-2221	115	31	12	12	NUM
ejpam-2221	115	32	)	)	PUNCT
ejpam-2221	116	1	+	+	CCONJ
ejpam-2221	116	2	1728	1728	NUM
ejpam-2221	116	3	5	5	NUM
ejpam-2221	116	4	σ3	σ3	PROPN
ejpam-2221	116	5	(	(	PUNCT
ejpam-2221	116	6	n	n	NOUN
ejpam-2221	116	7	24	24	NUM
ejpam-2221	116	8	)	)	PUNCT
ejpam-2221	117	1	+	+	CCONJ
ejpam-2221	117	2	6	6	NUM
ejpam-2221	117	3	5	5	NUM
ejpam-2221	117	4	c1,6(n	c1,6(n	PROPN
ejpam-2221	117	5	)	)	PUNCT
ejpam-2221	118	1	+	+	CCONJ
ejpam-2221	119	1	12	12	NUM
ejpam-2221	119	2	5	5	NUM
ejpam-2221	119	3	c1,6	c1,6	PROPN
ejpam-2221	119	4	(	(	PUNCT
ejpam-2221	119	5	n	n	NOUN
ejpam-2221	119	6	2	2	NUM
ejpam-2221	119	7	)	)	PUNCT
ejpam-2221	119	8	−	−	NOUN
ejpam-2221	119	9	12	12	NUM
ejpam-2221	119	10	5	5	NUM
ejpam-2221	119	11	c3,4	c3,4	ADJ
ejpam-2221	119	12	(	(	PUNCT
ejpam-2221	119	13	n	n	ADV
ejpam-2221	119	14	2	2	NUM
ejpam-2221	119	15	)	)	PUNCT
ejpam-2221	119	16	,	,	PUNCT
ejpam-2221	119	17	(	(	PUNCT
ejpam-2221	119	18	23	23	NUM
ejpam-2221	119	19	)	)	PUNCT
ejpam-2221	119	20	which	which	PRON
ejpam-2221	119	21	is	be	AUX
ejpam-2221	119	22	the	the	DET
ejpam-2221	119	23	asserted	assert	VERB
ejpam-2221	119	24	formula	formula	NOUN
ejpam-2221	119	25	.	.	PUNCT
ejpam-2221	120	1	denoting	denote	VERB
ejpam-2221	120	2	the	the	DET
ejpam-2221	120	3	right	right	ADJ
ejpam-2221	120	4	hand	hand	NOUN
ejpam-2221	120	5	side	side	NOUN
ejpam-2221	120	6	of	of	ADP
ejpam-2221	120	7	(	(	PUNCT
ejpam-2221	120	8	23	23	NUM
ejpam-2221	120	9	)	)	PUNCT
ejpam-2221	120	10	by	by	ADP
ejpam-2221	120	11	f(n	f(n	PROPN
ejpam-2221	120	12	)	)	PUNCT
ejpam-2221	120	13	,	,	PUNCT
ejpam-2221	120	14	we	we	PRON
ejpam-2221	120	15	give	give	VERB
ejpam-2221	120	16	a	a	DET
ejpam-2221	120	17	list	list	NOUN
ejpam-2221	120	18	of	of	ADP
ejpam-2221	120	19	values	value	NOUN
ejpam-2221	120	20	of	of	ADP
ejpam-2221	120	21	m(1,1	m(1,1	NOUN
ejpam-2221	120	22	,	,	PUNCT
ejpam-2221	120	23	1,1	1,1	NUM
ejpam-2221	120	24	,	,	PUNCT
ejpam-2221	120	25	2,2	2,2	NUM
ejpam-2221	120	26	;	;	PUNCT
ejpam-2221	120	27	n	n	CCONJ
ejpam-2221	120	28	)	)	PUNCT
ejpam-2221	120	29	and	and	CCONJ
ejpam-2221	120	30	f(n	f(n	PROPN
ejpam-2221	120	31	)	)	PUNCT
ejpam-2221	120	32	in	in	ADP
ejpam-2221	120	33	table	table	NOUN
ejpam-2221	120	34	1	1	NUM
ejpam-2221	120	35	to	to	PART
ejpam-2221	120	36	illustrate	illustrate	VERB
ejpam-2221	120	37	the	the	DET
ejpam-2221	120	38	equations	equation	NOUN
ejpam-2221	120	39	.	.	PUNCT
ejpam-2221	121	1	table	table	NOUN
ejpam-2221	121	2	1	1	NUM
ejpam-2221	121	3	:	:	PUNCT
ejpam-2221	121	4	the	the	DET
ejpam-2221	121	5	first	first	ADJ
ejpam-2221	121	6	ten	ten	NUM
ejpam-2221	121	7	values	value	NOUN
ejpam-2221	121	8	of	of	ADP
ejpam-2221	121	9	m(1	m(1	NOUN
ejpam-2221	121	10	,	,	PUNCT
ejpam-2221	121	11	1,1	1,1	NUM
ejpam-2221	121	12	,	,	PUNCT
ejpam-2221	121	13	1,2	1,2	NUM
ejpam-2221	121	14	,	,	PUNCT
ejpam-2221	121	15	2	2	NUM
ejpam-2221	121	16	;	;	PUNCT
ejpam-2221	121	17	n	n	CCONJ
ejpam-2221	121	18	)	)	PUNCT
ejpam-2221	121	19	and	and	CCONJ
ejpam-2221	121	20	f(n	f(n	PROPN
ejpam-2221	121	21	)	)	PUNCT
ejpam-2221	121	22	n	n	PRON
ejpam-2221	121	23	m(1	m(1	PROPN
ejpam-2221	121	24	,	,	PUNCT
ejpam-2221	121	25	1,2,2	1,2,2	NUM
ejpam-2221	121	26	,	,	PUNCT
ejpam-2221	121	27	2,2	2,2	NUM
ejpam-2221	121	28	;	;	PUNCT
ejpam-2221	121	29	n	n	CCONJ
ejpam-2221	121	30	)	)	PUNCT
ejpam-2221	122	1	σ3(n	σ3(n	NOUN
ejpam-2221	122	2	)	)	PUNCT
ejpam-2221	122	3	c1,6(n	c1,6(n	PROPN
ejpam-2221	122	4	)	)	PUNCT
ejpam-2221	122	5	c1,6	c1,6	PROPN
ejpam-2221	122	6	(	(	PUNCT
ejpam-2221	122	7	n	n	NOUN
ejpam-2221	122	8	2	2	NUM
ejpam-2221	122	9	)	)	PUNCT
ejpam-2221	122	10	c3,4	c3,4	PROPN
ejpam-2221	122	11	(	(	PUNCT
ejpam-2221	122	12	n	n	ADV
ejpam-2221	122	13	2	2	NUM
ejpam-2221	122	14	)	)	PUNCT
ejpam-2221	122	15	f(n	f(n	PROPN
ejpam-2221	122	16	)	)	PUNCT
ejpam-2221	122	17	1	1	NUM
ejpam-2221	122	18	4	4	NUM
ejpam-2221	122	19	1	1	NUM
ejpam-2221	122	20	1	1	NUM
ejpam-2221	122	21	0	0	NUM
ejpam-2221	122	22	0	0	NUM
ejpam-2221	122	23	4	4	NUM
ejpam-2221	122	24	2	2	NUM
ejpam-2221	122	25	20	20	NUM
ejpam-2221	122	26	9	9	NUM
ejpam-2221	122	27	−2	−2	NOUN
ejpam-2221	122	28	1	1	NUM
ejpam-2221	122	29	1	1	NUM
ejpam-2221	122	30	20	20	NUM
ejpam-2221	122	31	3	3	NUM
ejpam-2221	122	32	64	64	NUM
ejpam-2221	122	33	28	28	NUM
ejpam-2221	122	34	−3	−3	NOUN
ejpam-2221	122	35	0	0	NUM
ejpam-2221	122	36	0	0	NUM
ejpam-2221	122	37	64	64	NUM
ejpam-2221	122	38	4	4	NUM
ejpam-2221	122	39	156	156	NUM
ejpam-2221	122	40	73	73	NUM
ejpam-2221	122	41	4	4	NUM
ejpam-2221	122	42	−2	−2	NOUN
ejpam-2221	122	43	12	12	NUM
ejpam-2221	122	44	156	156	NUM
ejpam-2221	122	45	5	5	NUM
ejpam-2221	122	46	360	360	NUM
ejpam-2221	122	47	126	126	NUM
ejpam-2221	122	48	6	6	NUM
ejpam-2221	122	49	0	0	NUM
ejpam-2221	122	50	0	0	NUM
ejpam-2221	122	51	360	360	NUM
ejpam-2221	122	52	6	6	NUM
ejpam-2221	122	53	620	620	NUM
ejpam-2221	122	54	252	252	NUM
ejpam-2221	122	55	6	6	NUM
ejpam-2221	122	56	−3	−3	NOUN
ejpam-2221	122	57	−33	−33	NOUN
ejpam-2221	122	58	620	620	NUM
ejpam-2221	122	59	7	7	NUM
ejpam-2221	122	60	944	944	NUM
ejpam-2221	122	61	344	344	NUM
ejpam-2221	122	62	−16	−16	PROPN
ejpam-2221	122	63	0	0	NUM
ejpam-2221	122	64	0	0	NUM
ejpam-2221	122	65	944	944	NUM
ejpam-2221	122	66	8	8	NUM
ejpam-2221	122	67	1452	1452	NUM
ejpam-2221	122	68	585	585	NUM
ejpam-2221	122	69	−8	−8	ADP
ejpam-2221	122	70	4	4	NUM
ejpam-2221	122	71	−24	−24	SYM
ejpam-2221	122	72	1452	1452	NUM
ejpam-2221	122	73	9	9	NUM
ejpam-2221	122	74	1828	1828	NUM
ejpam-2221	122	75	757	757	NUM
ejpam-2221	122	76	9	9	NUM
ejpam-2221	122	77	0	0	NUM
ejpam-2221	122	78	0	0	NUM
ejpam-2221	122	79	1828	1828	NUM
ejpam-2221	122	80	10	10	NUM
ejpam-2221	122	81	2520	2520	NUM
ejpam-2221	122	82	1134	1134	NUM
ejpam-2221	122	83	−12	−12	NUM
ejpam-2221	122	84	6	6	NUM
ejpam-2221	122	85	126	126	NUM
ejpam-2221	122	86	2520	2520	NUM
ejpam-2221	122	87	references	reference	NOUN
ejpam-2221	122	88	[	[	X
ejpam-2221	122	89	1	1	NUM
ejpam-2221	122	90	]	]	PUNCT
ejpam-2221	122	91	a.	a.	NOUN
ejpam-2221	122	92	alaca	alaca	PROPN
ejpam-2221	122	93	,	,	PUNCT
ejpam-2221	122	94	ş.	ş.	PROPN
ejpam-2221	122	95	alaca	alaca	PROPN
ejpam-2221	122	96	,	,	PUNCT
ejpam-2221	122	97	and	and	CCONJ
ejpam-2221	122	98	k.	k.	PROPN
ejpam-2221	122	99	s.	s.	PROPN
ejpam-2221	122	100	williams	williams	PROPN
ejpam-2221	122	101	.	.	PUNCT
ejpam-2221	123	1	evaluation	evaluation	NOUN
ejpam-2221	123	2	of	of	ADP
ejpam-2221	123	3	the	the	DET
ejpam-2221	123	4	convolution	convolution	NOUN
ejpam-2221	123	5	sums	sum	NOUN
ejpam-2221	123	6	∑	∑	ADV
ejpam-2221	123	7	l+12m	l+12m	VERB
ejpam-2221	123	8	=	=	NOUN
ejpam-2221	123	9	n	n	PART
ejpam-2221	123	10	σ(l)σ(m	σ(l)σ(m	NUM
ejpam-2221	123	11	)	)	PUNCT
ejpam-2221	123	12	and	and	CCONJ
ejpam-2221	123	13	∑	∑	ADP
ejpam-2221	123	14	3l+4m	3l+4m	NUM
ejpam-2221	123	15	=	=	NOUN
ejpam-2221	123	16	n	n	PART
ejpam-2221	123	17	σ(l)σ(m	σ(l)σ(m	NUM
ejpam-2221	123	18	)	)	PUNCT
ejpam-2221	123	19	,	,	PUNCT
ejpam-2221	123	20	advances	advance	NOUN
ejpam-2221	123	21	in	in	ADP
ejpam-2221	123	22	theoretical	theoretical	ADJ
ejpam-2221	123	23	and	and	CCONJ
ejpam-2221	123	24	applied	applied	ADJ
ejpam-2221	123	25	mathematics	mathematic	NOUN
ejpam-2221	123	26	,	,	PUNCT
ejpam-2221	123	27	1	1	NUM
ejpam-2221	123	28	,	,	PUNCT
ejpam-2221	123	29	1	1	NUM
ejpam-2221	123	30	,	,	PUNCT
ejpam-2221	123	31	27–48	27–48	NUM
ejpam-2221	123	32	.	.	PUNCT
ejpam-2221	124	1	2006	2006	NUM
ejpam-2221	124	2	.	.	PUNCT
ejpam-2221	125	1	[	[	X
ejpam-2221	125	2	2	2	NUM
ejpam-2221	125	3	]	]	PUNCT
ejpam-2221	125	4	a.	a.	NOUN
ejpam-2221	125	5	alaca	alaca	PROPN
ejpam-2221	125	6	,	,	PUNCT
ejpam-2221	125	7	ş.	ş.	PROPN
ejpam-2221	125	8	alaca	alaca	PROPN
ejpam-2221	125	9	,	,	PUNCT
ejpam-2221	125	10	and	and	CCONJ
ejpam-2221	125	11	k.	k.	PROPN
ejpam-2221	125	12	s.	s.	PROPN
ejpam-2221	125	13	williams	williams	PROPN
ejpam-2221	125	14	.	.	PUNCT
ejpam-2221	126	1	evaluation	evaluation	NOUN
ejpam-2221	126	2	of	of	ADP
ejpam-2221	126	3	the	the	DET
ejpam-2221	126	4	convolution	convolution	NOUN
ejpam-2221	126	5	sums	sum	VERB
ejpam-2221	126	6	∑	∑	PROPN
ejpam-2221	126	7	l+24m	l+24m	NOUN
ejpam-2221	126	8	=	=	NOUN
ejpam-2221	126	9	n	n	PART
ejpam-2221	126	10	σ(l)σ(m	σ(l)σ(m	NUM
ejpam-2221	126	11	)	)	PUNCT
ejpam-2221	126	12	and	and	CCONJ
ejpam-2221	126	13	∑	∑	ADV
ejpam-2221	126	14	3l+8m	3l+8m	X
ejpam-2221	126	15	=	=	NOUN
ejpam-2221	126	16	n	n	PART
ejpam-2221	126	17	σ(l)σ(m	σ(l)σ(m	NUM
ejpam-2221	126	18	)	)	PUNCT
ejpam-2221	126	19	,	,	PUNCT
ejpam-2221	126	20	mathematical	mathematical	ADJ
ejpam-2221	126	21	journal	journal	NOUN
ejpam-2221	126	22	of	of	ADP
ejpam-2221	126	23	okayama	okayama	PROPN
ejpam-2221	126	24	university	university	PROPN
ejpam-2221	126	25	,	,	PUNCT
ejpam-2221	126	26	49	49	NUM
ejpam-2221	126	27	,	,	PUNCT
ejpam-2221	126	28	93–111	93–111	PROPN
ejpam-2221	126	29	.	.	PUNCT
ejpam-2221	126	30	2007	2007	NUM
ejpam-2221	126	31	.	.	PUNCT
ejpam-2221	127	1	[	[	X
ejpam-2221	127	2	3	3	X
ejpam-2221	127	3	]	]	PUNCT
ejpam-2221	127	4	ş.	ş.	PROPN
ejpam-2221	127	5	alaca	alaca	PROPN
ejpam-2221	127	6	and	and	CCONJ
ejpam-2221	127	7	k.	k.	PROPN
ejpam-2221	127	8	s.	s.	PROPN
ejpam-2221	127	9	williams	williams	PROPN
ejpam-2221	127	10	.	.	PUNCT
ejpam-2221	128	1	evaluation	evaluation	NOUN
ejpam-2221	128	2	of	of	ADP
ejpam-2221	128	3	the	the	DET
ejpam-2221	128	4	convolution	convolution	NOUN
ejpam-2221	128	5	sums	sum	VERB
ejpam-2221	128	6	∑	∑	PUNCT
ejpam-2221	128	7	l+6m	l+6m	PROPN
ejpam-2221	128	8	=	=	NOUN
ejpam-2221	128	9	n	n	PART
ejpam-2221	128	10	σ(l)σ(m	σ(l)σ(m	NUM
ejpam-2221	128	11	)	)	PUNCT
ejpam-2221	128	12	and	and	CCONJ
ejpam-2221	128	13	∑	∑	ADP
ejpam-2221	128	14	2l+3m	2l+3m	NUM
ejpam-2221	128	15	=	=	NOUN
ejpam-2221	128	16	n	n	PART
ejpam-2221	128	17	σ(l)σ(m	σ(l)σ(m	NUM
ejpam-2221	128	18	)	)	PUNCT
ejpam-2221	128	19	,	,	PUNCT
ejpam-2221	128	20	journal	journal	NOUN
ejpam-2221	128	21	of	of	ADP
ejpam-2221	128	22	number	number	NOUN
ejpam-2221	128	23	theory	theory	NOUN
ejpam-2221	128	24	.	.	PUNCT
ejpam-2221	129	1	124	124	NUM
ejpam-2221	129	2	,	,	PUNCT
ejpam-2221	129	3	491–510	491–510	NUM
ejpam-2221	129	4	.	.	PUNCT
ejpam-2221	129	5	2007	2007	NUM
ejpam-2221	129	6	.	.	PUNCT
ejpam-2221	130	1	references	reference	NOUN
ejpam-2221	130	2	311	311	NUM
ejpam-2221	130	3	[	[	X
ejpam-2221	130	4	4	4	NUM
ejpam-2221	130	5	]	]	PUNCT
ejpam-2221	130	6	a.	a.	NOUN
ejpam-2221	130	7	alaca	alaca	PROPN
ejpam-2221	130	8	,	,	PUNCT
ejpam-2221	130	9	ş.	ş.	PROPN
ejpam-2221	130	10	alaca	alaca	PROPN
ejpam-2221	130	11	,	,	PUNCT
ejpam-2221	130	12	m.	m.	PROPN
ejpam-2221	130	13	f.	f.	PROPN
ejpam-2221	130	14	lemire	lemire	PROPN
ejpam-2221	130	15	,	,	PUNCT
ejpam-2221	130	16	and	and	CCONJ
ejpam-2221	130	17	k.	k.	PROPN
ejpam-2221	130	18	s.	s.	PROPN
ejpam-2221	130	19	williams	williams	PROPN
ejpam-2221	130	20	.	.	PUNCT
ejpam-2221	131	1	nineteen	nineteen	NUM
ejpam-2221	131	2	quaternary	quaternary	ADJ
ejpam-2221	131	3	quadratic	quadratic	ADJ
ejpam-2221	131	4	forms	form	NOUN
ejpam-2221	131	5	,	,	PUNCT
ejpam-2221	131	6	acta	acta	PROPN
ejpam-2221	131	7	arithmetica	arithmetica	PROPN
ejpam-2221	131	8	,	,	PUNCT
ejpam-2221	131	9	130	130	NUM
ejpam-2221	131	10	,	,	PUNCT
ejpam-2221	131	11	277–310	277–310	NUM
ejpam-2221	131	12	.	.	PUNCT
ejpam-2221	131	13	2007	2007	NUM
ejpam-2221	131	14	.	.	PUNCT
ejpam-2221	132	1	[	[	X
ejpam-2221	132	2	5	5	NUM
ejpam-2221	132	3	]	]	PUNCT
ejpam-2221	132	4	x.	x.	PROPN
ejpam-2221	132	5	w.	w.	PROPN
ejpam-2221	132	6	x.	x.	PROPN
ejpam-2221	132	7	ernest	ernest	PROPN
ejpam-2221	132	8	and	and	CCONJ
ejpam-2221	132	9	x.	x.	PROPN
ejpam-2221	132	10	m.	m.	PROPN
ejpam-2221	132	11	y.	y.	PROPN
ejpam-2221	132	12	olivia	olivia	PROPN
ejpam-2221	132	13	.	.	PUNCT
ejpam-2221	133	1	on	on	ADP
ejpam-2221	133	2	the	the	DET
ejpam-2221	133	3	representations	representation	NOUN
ejpam-2221	133	4	of	of	ADP
ejpam-2221	133	5	integers	integer	NOUN
ejpam-2221	133	6	by	by	ADP
ejpam-2221	133	7	certain	certain	ADJ
ejpam-2221	133	8	quadratic	quadratic	ADJ
ejpam-2221	133	9	forms	form	NOUN
ejpam-2221	133	10	,	,	PUNCT
ejpam-2221	133	11	international	international	ADJ
ejpam-2221	133	12	journal	journal	NOUN
ejpam-2221	133	13	of	of	ADP
ejpam-2221	133	14	number	number	NOUN
ejpam-2221	133	15	theory	theory	NOUN
ejpam-2221	133	16	,	,	PUNCT
ejpam-2221	133	17	9	9	NUM
ejpam-2221	133	18	,	,	PUNCT
ejpam-2221	133	19	189–204	189–204	NUM
ejpam-2221	133	20	.	.	PUNCT
ejpam-2221	133	21	2013	2013	NUM
ejpam-2221	133	22	.	.	PUNCT
ejpam-2221	134	1	[	[	X
ejpam-2221	134	2	6	6	NUM
ejpam-2221	134	3	]	]	PUNCT
ejpam-2221	134	4	j.	j.	PROPN
ejpam-2221	134	5	w.	w.	PROPN
ejpam-2221	134	6	l.	l.	PROPN
ejpam-2221	134	7	glaisher	glaisher	PROPN
ejpam-2221	134	8	.	.	PUNCT
ejpam-2221	135	1	on	on	ADP
ejpam-2221	135	2	the	the	DET
ejpam-2221	135	3	square	square	NOUN
ejpam-2221	135	4	of	of	ADP
ejpam-2221	135	5	the	the	DET
ejpam-2221	135	6	series	series	NOUN
ejpam-2221	135	7	in	in	ADP
ejpam-2221	135	8	which	which	PRON
ejpam-2221	135	9	the	the	DET
ejpam-2221	135	10	coefficients	coefficient	NOUN
ejpam-2221	135	11	are	be	AUX
ejpam-2221	135	12	the	the	DET
ejpam-2221	135	13	sums	sum	NOUN
ejpam-2221	135	14	of	of	ADP
ejpam-2221	135	15	the	the	DET
ejpam-2221	135	16	divisors	divisor	NOUN
ejpam-2221	135	17	of	of	ADP
ejpam-2221	135	18	the	the	DET
ejpam-2221	135	19	exponents	exponent	NOUN
ejpam-2221	135	20	,	,	PUNCT
ejpam-2221	135	21	messenger	messenger	NOUN
ejpam-2221	135	22	of	of	ADP
ejpam-2221	135	23	mathematics	mathematic	NOUN
ejpam-2221	135	24	,	,	PUNCT
ejpam-2221	135	25	14	14	NUM
ejpam-2221	135	26	,	,	PUNCT
ejpam-2221	135	27	156–163	156–163	NUM
ejpam-2221	135	28	.	.	PUNCT
ejpam-2221	135	29	1885	1885	NUM
ejpam-2221	135	30	.	.	PUNCT
ejpam-2221	136	1	[	[	X
ejpam-2221	136	2	7	7	X
ejpam-2221	136	3	]	]	X
ejpam-2221	136	4	j.	j.	PROPN
ejpam-2221	136	5	g.	g.	PROPN
ejpam-2221	136	6	huard	huard	PROPN
ejpam-2221	136	7	,	,	PUNCT
ejpam-2221	136	8	z.	z.	PROPN
ejpam-2221	136	9	m.	m.	PROPN
ejpam-2221	136	10	ou	ou	PROPN
ejpam-2221	136	11	,	,	PUNCT
ejpam-2221	136	12	b.	b.	PROPN
ejpam-2221	136	13	k.	k.	PROPN
ejpam-2221	136	14	spearman	spearman	PROPN
ejpam-2221	136	15	,	,	PUNCT
ejpam-2221	136	16	and	and	CCONJ
ejpam-2221	136	17	k.	k.	PROPN
ejpam-2221	136	18	s.	s.	PROPN
ejpam-2221	136	19	williams	williams	PROPN
ejpam-2221	136	20	.	.	PUNCT
ejpam-2221	137	1	“	"	PUNCT
ejpam-2221	137	2	elementary	elementary	ADJ
ejpam-2221	137	3	theory	theory	NOUN
ejpam-2221	137	4	for	for	ADP
ejpam-2221	137	5	the	the	DET
ejpam-2221	137	6	millenium	millenium	PROPN
ejpam-2221	137	7	ii	ii	PROPN
ejpam-2221	137	8	”	"	PUNCT
ejpam-2221	137	9	edited	edit	VERB
ejpam-2221	137	10	by	by	ADP
ejpam-2221	137	11	m.a	m.a	PROPN
ejpam-2221	137	12	.	.	PROPN
ejpam-2221	137	13	bennet	bennet	PROPN
ejpam-2221	137	14	,	,	PUNCT
ejpam-2221	137	15	b.	b.	PROPN
ejpam-2221	137	16	c.	c.	PROPN
ejpam-2221	137	17	berndt	berndt	PROPN
ejpam-2221	137	18	,	,	PUNCT
ejpam-2221	137	19	n.	n.	PROPN
ejpam-2221	137	20	boston	boston	PROPN
ejpam-2221	137	21	,	,	PUNCT
ejpam-2221	137	22	h.	h.	PROPN
ejpam-2221	137	23	g.	g.	PROPN
ejpam-2221	137	24	diamond	diamond	PROPN
ejpam-2221	137	25	,	,	PUNCT
ejpam-2221	137	26	a.	a.	PROPN
ejpam-2221	137	27	j.	j.	PROPN
ejpam-2221	137	28	h.	h.	PROPN
ejpam-2221	137	29	hildebrand	hildebrand	PROPN
ejpam-2221	137	30	,	,	PUNCT
ejpam-2221	137	31	and	and	CCONJ
ejpam-2221	137	32	w.	w.	PROPN
ejpam-2221	137	33	philipp	philipp	PROPN
ejpam-2221	137	34	,	,	PUNCT
ejpam-2221	137	35	a.	a.	PROPN
ejpam-2221	137	36	k.	k.	PROPN
ejpam-2221	137	37	peters	peters	PROPN
ejpam-2221	137	38	,	,	PUNCT
ejpam-2221	137	39	natick	natick	PROPN
ejpam-2221	137	40	,	,	PUNCT
ejpam-2221	137	41	massachusetts	massachusetts	PROPN
ejpam-2221	137	42	,	,	PUNCT
ejpam-2221	137	43	pp	pp	X
ejpam-2221	137	44	.	.	PUNCT
ejpam-2221	138	1	229–274	229–274	NUM
ejpam-2221	138	2	.	.	NOUN
ejpam-2221	138	3	2002	2002	NUM
ejpam-2221	138	4	.	.	PUNCT
ejpam-2221	139	1	[	[	X
ejpam-2221	139	2	8	8	NUM
ejpam-2221	139	3	]	]	X
ejpam-2221	139	4	g.	g.	PROPN
ejpam-2221	139	5	melfi	melfi	PROPN
ejpam-2221	139	6	.	.	PUNCT
ejpam-2221	140	1	“	"	PUNCT
ejpam-2221	140	2	on	on	ADP
ejpam-2221	140	3	some	some	DET
ejpam-2221	140	4	modular	modular	ADJ
ejpam-2221	140	5	identities	identity	NOUN
ejpam-2221	140	6	”	"	PUNCT
ejpam-2221	140	7	number	number	NOUN
ejpam-2221	140	8	theory	theory	NOUN
ejpam-2221	140	9	(	(	PUNCT
ejpam-2221	140	10	k.	k.	NOUN
ejpam-2221	140	11	györy	györy	NOUN
ejpam-2221	140	12	,	,	PUNCT
ejpam-2221	140	13	a.pethö	a.pethö	NOUN
ejpam-2221	140	14	,	,	PUNCT
ejpam-2221	140	15	and	and	CCONJ
ejpam-2221	140	16	v.	v.	ADP
ejpam-2221	140	17	sos	sos	PROPN
ejpam-2221	140	18	,	,	PUNCT
ejpam-2221	140	19	eds	ed	NOUN
ejpam-2221	140	20	)	)	PUNCT
ejpam-2221	140	21	,	,	PUNCT
ejpam-2221	140	22	de	de	NOUN
ejpam-2221	140	23	gruyter	gruyter	NOUN
ejpam-2221	140	24	,	,	PUNCT
ejpam-2221	140	25	berlin	berlin	PROPN
ejpam-2221	140	26	,	,	PUNCT
ejpam-2221	140	27	pp	pp	ADV
ejpam-2221	140	28	.	.	PUNCT
ejpam-2221	141	1	371–382	371–382	NUM
ejpam-2221	141	2	.	.	NOUN
ejpam-2221	141	3	1998	1998	NUM
ejpam-2221	141	4	.	.	PUNCT
ejpam-2221	142	1	[	[	X
ejpam-2221	142	2	9	9	NUM
ejpam-2221	142	3	]	]	X
ejpam-2221	142	4	g.	g.	NOUN
ejpam-2221	142	5	melfi	melfi	PROPN
ejpam-2221	142	6	.	.	PUNCT
ejpam-2221	143	1	“	"	PUNCT
ejpam-2221	143	2	some	some	DET
ejpam-2221	143	3	problems	problem	NOUN
ejpam-2221	143	4	in	in	ADP
ejpam-2221	143	5	elementary	elementary	ADJ
ejpam-2221	143	6	number	number	NOUN
ejpam-2221	143	7	theory	theory	NOUN
ejpam-2221	143	8	and	and	CCONJ
ejpam-2221	143	9	modular	modular	ADJ
ejpam-2221	143	10	forms	form	NOUN
ejpam-2221	143	11	,	,	PUNCT
ejpam-2221	143	12	”	"	PUNCT
ejpam-2221	143	13	ph.d	ph.d	PROPN
ejpam-2221	143	14	.	.	PUNCT
ejpam-2221	144	1	thesis	thesis	NOUN
ejpam-2221	144	2	,	,	PUNCT
ejpam-2221	144	3	university	university	NOUN
ejpam-2221	144	4	of	of	ADP
ejpam-2221	144	5	pisa	pisa	PROPN
ejpam-2221	144	6	.	.	PROPN
ejpam-2221	144	7	1998	1998	NUM
ejpam-2221	144	8	.	.	PUNCT
ejpam-2221	145	1	[	[	X
ejpam-2221	145	2	10	10	NUM
ejpam-2221	145	3	]	]	X
ejpam-2221	145	4	k.s	k.s	PROPN
ejpam-2221	145	5	.	.	PROPN
ejpam-2221	145	6	ramanujan	ramanujan	PROPN
ejpam-2221	145	7	.	.	PUNCT
ejpam-2221	146	1	on	on	ADP
ejpam-2221	146	2	certain	certain	ADJ
ejpam-2221	146	3	arithmetical	arithmetical	ADJ
ejpam-2221	146	4	functions	function	NOUN
ejpam-2221	146	5	,	,	PUNCT
ejpam-2221	146	6	transactions	transaction	NOUN
ejpam-2221	146	7	of	of	ADP
ejpam-2221	146	8	the	the	DET
ejpam-2221	146	9	cambridge	cambridge	PROPN
ejpam-2221	146	10	philosophical	philosophical	ADJ
ejpam-2221	146	11	society	society	NOUN
ejpam-2221	146	12	,	,	PUNCT
ejpam-2221	146	13	22	22	NUM
ejpam-2221	146	14	,	,	PUNCT
ejpam-2221	146	15	159–184	159–184	NUM
ejpam-2221	146	16	.	.	PUNCT
ejpam-2221	146	17	1916	1916	NUM
ejpam-2221	146	18	.	.	PUNCT
ejpam-2221	147	1	[	[	X
ejpam-2221	147	2	11	11	NUM
ejpam-2221	147	3	]	]	PUNCT
ejpam-2221	147	4	k.	k.	PROPN
ejpam-2221	147	5	s.	s.	PROPN
ejpam-2221	147	6	williams	williams	PROPN
ejpam-2221	147	7	.	.	PUNCT
ejpam-2221	148	1	a	a	DET
ejpam-2221	148	2	cubic	cubic	ADJ
ejpam-2221	148	3	transformation	transformation	NOUN
ejpam-2221	148	4	formula	formula	NOUN
ejpam-2221	148	5	for	for	ADP
ejpam-2221	148	6	2f(1	2f(1	NUM
ejpam-2221	148	7	2	2	NUM
ejpam-2221	148	8	,	,	PUNCT
ejpam-2221	148	9	2	2	NUM
ejpam-2221	148	10	3	3	NUM
ejpam-2221	148	11	;	;	PUNCT
ejpam-2221	148	12	1	1	NUM
ejpam-2221	148	13	,	,	PUNCT
ejpam-2221	148	14	z	z	NOUN
ejpam-2221	148	15	)	)	PUNCT
ejpam-2221	148	16	and	and	CCONJ
ejpam-2221	148	17	some	some	DET
ejpam-2221	148	18	arithmetic	arithmetic	ADJ
ejpam-2221	148	19	convolution	convolution	NOUN
ejpam-2221	148	20	formulae	formulae	NOUN
ejpam-2221	148	21	,	,	PUNCT
ejpam-2221	148	22	mathematical	mathematical	ADJ
ejpam-2221	148	23	proceedings	proceeding	NOUN
ejpam-2221	148	24	of	of	ADP
ejpam-2221	148	25	the	the	DET
ejpam-2221	148	26	cambridge	cambridge	PROPN
ejpam-2221	148	27	philosophical	philosophical	ADJ
ejpam-2221	148	28	society	society	NOUN
ejpam-2221	148	29	,	,	PUNCT
ejpam-2221	148	30	137	137	NUM
ejpam-2221	148	31	,	,	PUNCT
ejpam-2221	148	32	pp	pp	ADP
ejpam-2221	148	33	519–539	519–539	NUM
ejpam-2221	148	34	.	.	PUNCT
ejpam-2221	148	35	2004	2004	NUM
ejpam-2221	148	36	.	.	PUNCT
ejpam-2221	149	1	[	[	X
ejpam-2221	149	2	12	12	NUM
ejpam-2221	149	3	]	]	PUNCT
ejpam-2221	149	4	k.	k.	PROPN
ejpam-2221	149	5	s.	s.	PROPN
ejpam-2221	149	6	williams	williams	PROPN
ejpam-2221	149	7	.	.	PUNCT
ejpam-2221	150	1	the	the	DET
ejpam-2221	150	2	convolution	convolution	NOUN
ejpam-2221	150	3	sum	sum	NOUN
ejpam-2221	150	4	∑	∑	PROPN
ejpam-2221	150	5	m	m	VERB
ejpam-2221	150	6	<	<	X
ejpam-2221	150	7	n	n	PRON
ejpam-2221	150	8	8	8	NUM
ejpam-2221	150	9	σ(m)σ(n−8	σ(m)σ(n−8	NOUN
ejpam-2221	150	10	m	m	PROPN
ejpam-2221	150	11	)	)	PUNCT
ejpam-2221	150	12	,	,	PUNCT
ejpam-2221	150	13	pacific	pacific	PROPN
ejpam-2221	150	14	journal	journal	PROPN
ejpam-2221	150	15	of	of	ADP
ejpam-2221	150	16	mathematics	mathematic	NOUN
ejpam-2221	150	17	,	,	PUNCT
ejpam-2221	150	18	228	228	NUM
ejpam-2221	150	19	,	,	PUNCT
ejpam-2221	150	20	387–396	387–396	NUM
ejpam-2221	150	21	.	.	PUNCT
ejpam-2221	150	22	2006	2006	NUM
ejpam-2221	150	23	.	.	PUNCT