id	sid	tid	token	lemma	pos
ejpam-1623	1	1	3_kokluce.dvi	3_kokluce.dvi	NUM
ejpam-1623	1	2	european	european	ADJ
ejpam-1623	1	3	journal	journal	NOUN
ejpam-1623	1	4	of	of	ADP
ejpam-1623	1	5	pure	pure	ADJ
ejpam-1623	1	6	and	and	CCONJ
ejpam-1623	1	7	applied	apply	VERB
ejpam-1623	1	8	mathematics	mathematic	NOUN
ejpam-1623	1	9	vol	vol	NOUN
ejpam-1623	1	10	.	.	PROPN
ejpam-1623	1	11	5	5	NUM
ejpam-1623	1	12	,	,	PUNCT
ejpam-1623	1	13	no	no	INTJ
ejpam-1623	1	14	.	.	NOUN
ejpam-1623	1	15	4	4	NUM
ejpam-1623	1	16	,	,	PUNCT
ejpam-1623	1	17	2012	2012	NUM
ejpam-1623	1	18	,	,	PUNCT
ejpam-1623	1	19	451	451	NUM
ejpam-1623	1	20	-	-	SYM
ejpam-1623	1	21	468	468	NUM
ejpam-1623	1	22	issn	issn	PROPN
ejpam-1623	1	23	1307	1307	NUM
ejpam-1623	1	24	-	-	SYM
ejpam-1623	1	25	5543	5543	NUM
ejpam-1623	1	26	–	–	PUNCT
ejpam-1623	1	27	www.ejpam.com	www.ejpam.com	X
ejpam-1623	1	28	on	on	ADP
ejpam-1623	1	29	the	the	DET
ejpam-1623	1	30	number	number	NOUN
ejpam-1623	1	31	of	of	ADP
ejpam-1623	1	32	representation	representation	NOUN
ejpam-1623	1	33	of	of	ADP
ejpam-1623	1	34	integers	integer	NOUN
ejpam-1623	1	35	by	by	ADP
ejpam-1623	1	36	the	the	DET
ejpam-1623	1	37	direct	direct	ADJ
ejpam-1623	1	38	sum	sum	NOUN
ejpam-1623	1	39	of	of	ADP
ejpam-1623	1	40	bqfs	bqfs	NOUN
ejpam-1623	1	41	with	with	ADP
ejpam-1623	1	42	discriminant	discriminant	ADJ
ejpam-1623	1	43	−191	−191	PROPN
ejpam-1623	1	44	bülent	bülent	PROPN
ejpam-1623	1	45	köklüce	köklüce	PROPN
ejpam-1623	1	46	department	department	PROPN
ejpam-1623	1	47	of	of	ADP
ejpam-1623	1	48	mathematics	mathematic	NOUN
ejpam-1623	1	49	,	,	PUNCT
ejpam-1623	1	50	faculty	faculty	NOUN
ejpam-1623	1	51	of	of	ADP
ejpam-1623	1	52	art	art	NOUN
ejpam-1623	1	53	and	and	CCONJ
ejpam-1623	1	54	sciences	science	NOUN
ejpam-1623	1	55	,	,	PUNCT
ejpam-1623	1	56	fatih	fatih	PROPN
ejpam-1623	1	57	university	university	PROPN
ejpam-1623	1	58	,	,	PUNCT
ejpam-1623	1	59	istanbul	istanbul	PROPN
ejpam-1623	1	60	,	,	PUNCT
ejpam-1623	1	61	turkey	turkey	PROPN
ejpam-1623	1	62	abstract	abstract	NOUN
ejpam-1623	1	63	.	.	PUNCT
ejpam-1623	2	1	in	in	ADP
ejpam-1623	2	2	this	this	DET
ejpam-1623	2	3	study	study	NOUN
ejpam-1623	2	4	we	we	PRON
ejpam-1623	2	5	find	find	VERB
ejpam-1623	2	6	a	a	DET
ejpam-1623	2	7	basis	basis	NOUN
ejpam-1623	2	8	of	of	ADP
ejpam-1623	2	9	the	the	DET
ejpam-1623	2	10	space	space	NOUN
ejpam-1623	2	11	s4(γ0(191	s4(γ0(191	PROPN
ejpam-1623	2	12	)	)	PUNCT
ejpam-1623	2	13	)	)	PUNCT
ejpam-1623	2	14	and	and	CCONJ
ejpam-1623	2	15	derive	derive	VERB
ejpam-1623	2	16	explicit	explicit	ADJ
ejpam-1623	2	17	formulae	formulae	NOUN
ejpam-1623	2	18	for	for	ADP
ejpam-1623	2	19	the	the	DET
ejpam-1623	2	20	number	number	NOUN
ejpam-1623	2	21	of	of	ADP
ejpam-1623	2	22	representation	representation	NOUN
ejpam-1623	2	23	of	of	ADP
ejpam-1623	2	24	positive	positive	ADJ
ejpam-1623	2	25	integers	integer	NOUN
ejpam-1623	2	26	by	by	ADP
ejpam-1623	2	27	all	all	DET
ejpam-1623	2	28	possible	possible	ADJ
ejpam-1623	2	29	direct	direct	ADJ
ejpam-1623	2	30	sum	sum	NOUN
ejpam-1623	2	31	of	of	ADP
ejpam-1623	2	32	13	13	NUM
ejpam-1623	2	33	quadratic	quadratic	ADJ
ejpam-1623	2	34	forms	form	NOUN
ejpam-1623	2	35	from	from	ADP
ejpam-1623	2	36	the	the	DET
ejpam-1623	2	37	representatives	representative	NOUN
ejpam-1623	2	38	x2	x2	NOUN
ejpam-1623	3	1	1	1	NUM
ejpam-1623	4	1	+	+	NUM
ejpam-1623	4	2	x1	x1	NUM
ejpam-1623	5	1	x2	x2	PROPN
ejpam-1623	6	1	+	+	CCONJ
ejpam-1623	7	1	48x2	48x2	NUM
ejpam-1623	7	2	2	2	NUM
ejpam-1623	7	3	,	,	PUNCT
ejpam-1623	7	4	2x2	2x2	NUM
ejpam-1623	7	5	1	1	NUM
ejpam-1623	7	6	+	+	CCONJ
ejpam-1623	7	7	x1	x1	NUM
ejpam-1623	7	8	x2	x2	PROPN
ejpam-1623	8	1	+	+	CCONJ
ejpam-1623	8	2	24x2	24x2	NUM
ejpam-1623	8	3	2	2	NUM
ejpam-1623	8	4	,	,	PUNCT
ejpam-1623	8	5	3x2	3x2	NUM
ejpam-1623	8	6	1	1	NUM
ejpam-1623	9	1	+	+	NUM
ejpam-1623	9	2	x1	x1	NUM
ejpam-1623	10	1	x2	x2	PROPN
ejpam-1623	11	1	+	+	CCONJ
ejpam-1623	11	2	16x2	16x2	NUM
ejpam-1623	11	3	2	2	NUM
ejpam-1623	11	4	,	,	PUNCT
ejpam-1623	11	5	4x2	4x2	NUM
ejpam-1623	11	6	1	1	NUM
ejpam-1623	12	1	+	+	NUM
ejpam-1623	12	2	x1	x1	NUM
ejpam-1623	13	1	x2	x2	PROPN
ejpam-1623	14	1	+	+	CCONJ
ejpam-1623	14	2	12x2	12x2	NUM
ejpam-1623	14	3	2	2	NUM
ejpam-1623	14	4	,	,	PUNCT
ejpam-1623	14	5	5x2	5x2	NUM
ejpam-1623	14	6	1	1	NUM
ejpam-1623	14	7	+	+	SYM
ejpam-1623	14	8	3x1	3x1	NUM
ejpam-1623	14	9	x2	x2	NOUN
ejpam-1623	14	10	+	+	CCONJ
ejpam-1623	14	11	10x2	10x2	NUM
ejpam-1623	14	12	2	2	NUM
ejpam-1623	14	13	,	,	PUNCT
ejpam-1623	14	14	6x2	6x2	NUM
ejpam-1623	14	15	1	1	NUM
ejpam-1623	15	1	+	+	CCONJ
ejpam-1623	15	2	x1	x1	NUM
ejpam-1623	15	3	x2	x2	PROPN
ejpam-1623	15	4	+	+	PROPN
ejpam-1623	15	5	8x2	8x2	NUM
ejpam-1623	15	6	2	2	NUM
ejpam-1623	15	7	,	,	PUNCT
ejpam-1623	15	8	6x2	6x2	NUM
ejpam-1623	15	9	1	1	NUM
ejpam-1623	15	10	+	+	CCONJ
ejpam-1623	15	11	5x1	5x1	NUM
ejpam-1623	15	12	x2	x2	NOUN
ejpam-1623	15	13	+	+	CCONJ
ejpam-1623	15	14	9x2	9x2	NUM
ejpam-1623	15	15	2	2	NUM
ejpam-1623	15	16	of	of	ADP
ejpam-1623	15	17	the	the	DET
ejpam-1623	15	18	class	class	NOUN
ejpam-1623	15	19	group	group	NOUN
ejpam-1623	15	20	of	of	ADP
ejpam-1623	15	21	equivalence	equivalence	NOUN
ejpam-1623	15	22	classes	class	NOUN
ejpam-1623	15	23	of	of	ADP
ejpam-1623	15	24	quadratic	quadratic	ADJ
ejpam-1623	15	25	forms	form	NOUN
ejpam-1623	15	26	with	with	ADP
ejpam-1623	15	27	discriminant	discriminant	PROPN
ejpam-1623	15	28	−191	−191	PROPN
ejpam-1623	15	29	.	.	PUNCT
ejpam-1623	16	1	2010	2010	NUM
ejpam-1623	16	2	mathematics	mathematic	NOUN
ejpam-1623	16	3	subject	subject	NOUN
ejpam-1623	16	4	classifications	classification	NOUN
ejpam-1623	16	5	:	:	PUNCT
ejpam-1623	16	6	11e20,11e25	11e20,11e25	NUM
ejpam-1623	16	7	key	key	ADJ
ejpam-1623	16	8	words	word	NOUN
ejpam-1623	16	9	and	and	CCONJ
ejpam-1623	16	10	phrases	phrase	NOUN
ejpam-1623	16	11	:	:	PUNCT
ejpam-1623	16	12	quadratic	quadratic	ADJ
ejpam-1623	16	13	forms	form	NOUN
ejpam-1623	16	14	,	,	PUNCT
ejpam-1623	16	15	representation	representation	NOUN
ejpam-1623	16	16	numbers	number	NOUN
ejpam-1623	16	17	,	,	PUNCT
ejpam-1623	16	18	theta	theta	NOUN
ejpam-1623	16	19	series	series	NOUN
ejpam-1623	16	20	,	,	PUNCT
ejpam-1623	16	21	cusp	cusp	NOUN
ejpam-1623	16	22	forms	form	VERB
ejpam-1623	16	23	1	1	NUM
ejpam-1623	16	24	.	.	PUNCT
ejpam-1623	17	1	introduction	introduction	NOUN
ejpam-1623	17	2	the	the	DET
ejpam-1623	17	3	problem	problem	NOUN
ejpam-1623	17	4	of	of	ADP
ejpam-1623	17	5	determining	determine	VERB
ejpam-1623	17	6	which	which	PRON
ejpam-1623	17	7	positive	positive	ADJ
ejpam-1623	17	8	integers	integer	NOUN
ejpam-1623	17	9	are	be	AUX
ejpam-1623	17	10	represented	represent	VERB
ejpam-1623	17	11	by	by	ADP
ejpam-1623	17	12	quadratic	quadratic	ADJ
ejpam-1623	17	13	forms	form	NOUN
ejpam-1623	17	14	has	have	AUX
ejpam-1623	17	15	been	be	AUX
ejpam-1623	17	16	studied	study	VERB
ejpam-1623	17	17	extensively	extensively	ADV
ejpam-1623	17	18	since	since	SCONJ
ejpam-1623	17	19	earlier	early	ADJ
ejpam-1623	17	20	mathematicians	mathematician	NOUN
ejpam-1623	17	21	.	.	PUNCT
ejpam-1623	18	1	fermat	fermat	PROPN
ejpam-1623	18	2	’s	’s	PART
ejpam-1623	18	3	assertion	assertion	NOUN
ejpam-1623	18	4	of	of	ADP
ejpam-1623	18	5	1640	1640	NUM
ejpam-1623	18	6	about	about	ADP
ejpam-1623	18	7	representation	representation	NOUN
ejpam-1623	18	8	of	of	ADP
ejpam-1623	18	9	integers	integer	NOUN
ejpam-1623	18	10	by	by	ADP
ejpam-1623	18	11	the	the	DET
ejpam-1623	18	12	binary	binary	ADJ
ejpam-1623	18	13	quadratic	quadratic	ADJ
ejpam-1623	18	14	form	form	NOUN
ejpam-1623	18	15	x2	x2	NOUN
ejpam-1623	18	16	1	1	NUM
ejpam-1623	18	17	+	+	NUM
ejpam-1623	18	18	x2	x2	NOUN
ejpam-1623	18	19	2	2	NUM
ejpam-1623	18	20	was	be	AUX
ejpam-1623	18	21	proved	prove	VERB
ejpam-1623	18	22	by	by	ADP
ejpam-1623	18	23	euler	euler	PROPN
ejpam-1623	18	24	.	.	PROPN
ejpam-1623	19	1	with	with	ADP
ejpam-1623	19	2	lagrange	lagrange	PROPN
ejpam-1623	19	3	’s	’s	PART
ejpam-1623	19	4	four	four	NUM
ejpam-1623	19	5	square	square	ADJ
ejpam-1623	19	6	theorem	theorem	NOUN
ejpam-1623	19	7	which	which	PRON
ejpam-1623	19	8	states	state	VERB
ejpam-1623	19	9	that	that	SCONJ
ejpam-1623	19	10	,	,	PUNCT
ejpam-1623	19	11	the	the	DET
ejpam-1623	19	12	quadratic	quadratic	ADJ
ejpam-1623	19	13	form	form	NOUN
ejpam-1623	19	14	x2	x2	NOUN
ejpam-1623	20	1	1	1	NUM
ejpam-1623	20	2	+	+	NUM
ejpam-1623	20	3	x2	x2	PROPN
ejpam-1623	21	1	2	2	NUM
ejpam-1623	21	2	+	+	NUM
ejpam-1623	21	3	x2	x2	PROPN
ejpam-1623	21	4	3	3	NUM
ejpam-1623	21	5	+	+	NUM
ejpam-1623	21	6	x2	x2	SYM
ejpam-1623	21	7	4	4	NUM
ejpam-1623	21	8	represent	represent	VERB
ejpam-1623	21	9	all	all	DET
ejpam-1623	21	10	positive	positive	ADJ
ejpam-1623	21	11	integers	integer	NOUN
ejpam-1623	21	12	,	,	PUNCT
ejpam-1623	21	13	the	the	DET
ejpam-1623	21	14	theory	theory	NOUN
ejpam-1623	21	15	of	of	ADP
ejpam-1623	21	16	universal	universal	ADJ
ejpam-1623	21	17	quadratic	quadratic	ADJ
ejpam-1623	21	18	forms	form	NOUN
ejpam-1623	21	19	has	have	AUX
ejpam-1623	21	20	been	be	AUX
ejpam-1623	21	21	started	start	VERB
ejpam-1623	21	22	in	in	ADP
ejpam-1623	21	23	1770	1770	NUM
ejpam-1623	21	24	.	.	PUNCT
ejpam-1623	22	1	it	it	PRON
ejpam-1623	22	2	has	have	AUX
ejpam-1623	22	3	been	be	AUX
ejpam-1623	22	4	proved	prove	VERB
ejpam-1623	22	5	by	by	ADP
ejpam-1623	22	6	legendre	legendre	PROPN
ejpam-1623	22	7	in	in	ADP
ejpam-1623	22	8	1798	1798	NUM
ejpam-1623	22	9	that	that	SCONJ
ejpam-1623	22	10	the	the	DET
ejpam-1623	22	11	quadratic	quadratic	ADJ
ejpam-1623	22	12	form	form	NOUN
ejpam-1623	22	13	x2	x2	NOUN
ejpam-1623	22	14	1	1	NUM
ejpam-1623	23	1	+	+	NUM
ejpam-1623	23	2	x2	x2	PROPN
ejpam-1623	23	3	2	2	NUM
ejpam-1623	24	1	+	+	CCONJ
ejpam-1623	24	2	x2	x2	PROPN
ejpam-1623	24	3	3	3	NUM
ejpam-1623	24	4	represent	represent	VERB
ejpam-1623	24	5	all	all	DET
ejpam-1623	24	6	positive	positive	ADJ
ejpam-1623	24	7	integers	integer	NOUN
ejpam-1623	24	8	except	except	SCONJ
ejpam-1623	24	9	precisely	precisely	ADV
ejpam-1623	24	10	the	the	DET
ejpam-1623	24	11	numbers	number	NOUN
ejpam-1623	24	12	of	of	ADP
ejpam-1623	24	13	the	the	DET
ejpam-1623	24	14	form	form	NOUN
ejpam-1623	24	15	4a(8k+	4a(8k+	NUM
ejpam-1623	24	16	7	7	NUM
ejpam-1623	24	17	)	)	PUNCT
ejpam-1623	24	18	.	.	PUNCT
ejpam-1623	25	1	legendre	legendre	PROPN
ejpam-1623	25	2	also	also	ADV
ejpam-1623	25	3	gives	give	VERB
ejpam-1623	25	4	a	a	DET
ejpam-1623	25	5	general	general	ADJ
ejpam-1623	25	6	theory	theory	NOUN
ejpam-1623	25	7	of	of	ADP
ejpam-1623	25	8	binary	binary	ADJ
ejpam-1623	25	9	quadratic	quadratic	ADJ
ejpam-1623	25	10	forms	form	NOUN
ejpam-1623	25	11	in	in	ADP
ejpam-1623	25	12	his	his	PRON
ejpam-1623	25	13	study	study	NOUN
ejpam-1623	25	14	theorie	theorie	PROPN
ejpam-1623	25	15	des	des	PROPN
ejpam-1623	25	16	nombres	nombres	PROPN
ejpam-1623	25	17	in	in	ADP
ejpam-1623	25	18	1830	1830	NUM
ejpam-1623	25	19	.	.	PUNCT
ejpam-1623	26	1	in	in	ADP
ejpam-1623	26	2	1930	1930	NUM
ejpam-1623	26	3	,	,	PUNCT
ejpam-1623	26	4	mordell	mordell	NOUN
ejpam-1623	26	5	[	[	X
ejpam-1623	26	6	7	7	NUM
ejpam-1623	26	7	]	]	PUNCT
ejpam-1623	26	8	proved	prove	VERB
ejpam-1623	26	9	the	the	DET
ejpam-1623	26	10	five	five	NUM
ejpam-1623	26	11	squares	square	NOUN
ejpam-1623	26	12	theorem	theorem	VERB
ejpam-1623	26	13	,	,	PUNCT
ejpam-1623	26	14	which	which	PRON
ejpam-1623	26	15	states	state	VERB
ejpam-1623	26	16	that	that	SCONJ
ejpam-1623	26	17	the	the	DET
ejpam-1623	26	18	quadratic	quadratic	ADJ
ejpam-1623	26	19	form	form	NOUN
ejpam-1623	26	20	x2	x2	NOUN
ejpam-1623	27	1	1+x2	1+x2	NUM
ejpam-1623	27	2	2+x2	2+x2	NUM
ejpam-1623	27	3	3+x2	3+x2	NUM
ejpam-1623	27	4	4+x2	4+x2	NOUN
ejpam-1623	27	5	5	5	NUM
ejpam-1623	27	6	represent	represent	VERB
ejpam-1623	27	7	all	all	DET
ejpam-1623	27	8	positive	positive	ADJ
ejpam-1623	27	9	definite	definite	ADJ
ejpam-1623	27	10	binary	binary	ADJ
ejpam-1623	27	11	quadratic	quadratic	ADJ
ejpam-1623	27	12	forms	form	NOUN
ejpam-1623	27	13	.	.	PUNCT
ejpam-1623	28	1	in	in	ADP
ejpam-1623	28	2	1997	1997	NUM
ejpam-1623	28	3	,	,	PUNCT
ejpam-1623	28	4	conway	conway	NOUN
ejpam-1623	28	5	and	and	CCONJ
ejpam-1623	28	6	schneeberger	schneeberger	NOUN
ejpam-1623	28	7	proved	prove	VERB
ejpam-1623	28	8	that	that	SCONJ
ejpam-1623	28	9	a	a	DET
ejpam-1623	28	10	positive	positive	ADJ
ejpam-1623	28	11	definite	definite	ADJ
ejpam-1623	28	12	integral	integral	ADJ
ejpam-1623	28	13	quadratic	quadratic	ADJ
ejpam-1623	28	14	form	form	NOUN
ejpam-1623	28	15	represents	represent	VERB
ejpam-1623	28	16	every	every	DET
ejpam-1623	28	17	positive	positive	ADJ
ejpam-1623	28	18	integer	integer	NOUN
ejpam-1623	28	19	if	if	SCONJ
ejpam-1623	28	20	and	and	CCONJ
ejpam-1623	28	21	only	only	ADV
ejpam-1623	28	22	if	if	SCONJ
ejpam-1623	28	23	it	it	PRON
ejpam-1623	28	24	represents	represent	VERB
ejpam-1623	28	25	the	the	DET
ejpam-1623	28	26	integers	integer	NOUN
ejpam-1623	28	27	1,2,3,5,6,7,10,14	1,2,3,5,6,7,10,14	ADV
ejpam-1623	28	28	,	,	PUNCT
ejpam-1623	28	29	and	and	CCONJ
ejpam-1623	28	30	15	15	NUM
ejpam-1623	28	31	.	.	PUNCT
ejpam-1623	29	1	it	it	PRON
ejpam-1623	29	2	is	be	AUX
ejpam-1623	29	3	known	know	VERB
ejpam-1623	29	4	as	as	ADP
ejpam-1623	29	5	the	the	DET
ejpam-1623	29	6	15	15	NUM
ejpam-1623	29	7	theorem	theorem	NOUN
ejpam-1623	29	8	and	and	CCONJ
ejpam-1623	29	9	later	later	ADV
ejpam-1623	29	10	has	have	AUX
ejpam-1623	29	11	been	be	AUX
ejpam-1623	29	12	proved	prove	VERB
ejpam-1623	29	13	by	by	ADP
ejpam-1623	29	14	bhargava	bhargava	PROPN
ejpam-1623	30	1	[	[	X
ejpam-1623	30	2	1	1	X
ejpam-1623	30	3	]	]	PUNCT
ejpam-1623	30	4	by	by	ADP
ejpam-1623	30	5	a	a	DET
ejpam-1623	30	6	simpler	simple	ADJ
ejpam-1623	30	7	method	method	NOUN
ejpam-1623	30	8	.	.	PUNCT
ejpam-1623	31	1	bhargava	bhargava	PROPN
ejpam-1623	31	2	and	and	CCONJ
ejpam-1623	31	3	hanke	hanke	PROPN
ejpam-1623	31	4	[	[	X
ejpam-1623	31	5	2	2	NUM
ejpam-1623	31	6	]	]	PUNCT
ejpam-1623	31	7	have	have	AUX
ejpam-1623	31	8	shown	show	VERB
ejpam-1623	31	9	in	in	ADP
ejpam-1623	31	10	their	their	PRON
ejpam-1623	31	11	studies	study	NOUN
ejpam-1623	31	12	that	that	SCONJ
ejpam-1623	31	13	every	every	DET
ejpam-1623	31	14	integer	integer	NOUN
ejpam-1623	31	15	valued	value	VERB
ejpam-1623	31	16	quadratic	quadratic	ADJ
ejpam-1623	31	17	form	form	NOUN
ejpam-1623	31	18	is	be	AUX
ejpam-1623	31	19	universal	universal	ADJ
ejpam-1623	31	20	if	if	SCONJ
ejpam-1623	31	21	and	and	CCONJ
ejpam-1623	31	22	only	only	ADV
ejpam-1623	31	23	if	if	SCONJ
ejpam-1623	31	24	it	it	PRON
ejpam-1623	31	25	represent	represent	VERB
ejpam-1623	31	26	every	every	DET
ejpam-1623	31	27	integer	integer	NOUN
ejpam-1623	31	28	less	less	ADJ
ejpam-1623	31	29	than	than	ADP
ejpam-1623	31	30	290	290	NUM
ejpam-1623	31	31	.	.	PUNCT
ejpam-1623	32	1	for	for	ADP
ejpam-1623	32	2	a	a	DET
ejpam-1623	32	3	general	general	ADJ
ejpam-1623	32	4	information	information	NOUN
ejpam-1623	32	5	about	about	ADP
ejpam-1623	32	6	the	the	DET
ejpam-1623	32	7	theory	theory	NOUN
ejpam-1623	32	8	of	of	ADP
ejpam-1623	32	9	quadratic	quadratic	ADJ
ejpam-1623	32	10	forms	form	NOUN
ejpam-1623	32	11	one	one	PRON
ejpam-1623	32	12	can	can	AUX
ejpam-1623	32	13	see	see	VERB
ejpam-1623	32	14	[	[	X
ejpam-1623	32	15	6	6	NUM
ejpam-1623	32	16	]	]	PUNCT
ejpam-1623	32	17	.	.	PUNCT
ejpam-1623	33	1	email	email	NOUN
ejpam-1623	33	2	address	address	NOUN
ejpam-1623	33	3	:	:	PUNCT
ejpam-1623	33	4	bkokluce@fatih.edu.tr	bkokluce@fatih.edu.tr	ADJ
ejpam-1623	33	5	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1623	34	1	451	451	NUM
ejpam-1623	35	1	c	c	X
ejpam-1623	35	2	©	©	VERB
ejpam-1623	35	3	2012	2012	NUM
ejpam-1623	35	4	ejpam	ejpam	VERB
ejpam-1623	35	5	all	all	DET
ejpam-1623	35	6	rights	right	NOUN
ejpam-1623	35	7	reserved	reserve	VERB
ejpam-1623	35	8	.	.	PUNCT
ejpam-1623	36	1	b.	b.	PROPN
ejpam-1623	36	2	köklüce	köklüce	PROPN
ejpam-1623	36	3	/	/	SYM
ejpam-1623	36	4	eur	eur	PROPN
ejpam-1623	36	5	.	.	PUNCT
ejpam-1623	37	1	j.	j.	PROPN
ejpam-1623	37	2	pure	pure	PROPN
ejpam-1623	37	3	appl	appl	PROPN
ejpam-1623	37	4	.	.	PROPN
ejpam-1623	37	5	math	math	PROPN
ejpam-1623	37	6	,	,	PUNCT
ejpam-1623	37	7	5	5	NUM
ejpam-1623	37	8	(	(	PUNCT
ejpam-1623	37	9	2012	2012	NUM
ejpam-1623	37	10	)	)	PUNCT
ejpam-1623	37	11	,	,	PUNCT
ejpam-1623	37	12	451	451	NUM
ejpam-1623	37	13	-	-	SYM
ejpam-1623	37	14	468	468	NUM
ejpam-1623	37	15	452	452	NUM
ejpam-1623	37	16	determination	determination	NOUN
ejpam-1623	37	17	of	of	ADP
ejpam-1623	37	18	positive	positive	ADJ
ejpam-1623	37	19	integers	integer	NOUN
ejpam-1623	37	20	represented	represent	VERB
ejpam-1623	37	21	by	by	ADP
ejpam-1623	37	22	a	a	DET
ejpam-1623	37	23	given	give	VERB
ejpam-1623	37	24	quadratic	quadratic	ADJ
ejpam-1623	37	25	form	form	NOUN
ejpam-1623	37	26	q	q	NOUN
ejpam-1623	37	27	is	be	AUX
ejpam-1623	37	28	an	an	DET
ejpam-1623	37	29	interesting	interesting	ADJ
ejpam-1623	37	30	problem	problem	NOUN
ejpam-1623	37	31	,	,	PUNCT
ejpam-1623	37	32	but	but	CCONJ
ejpam-1623	37	33	it	it	PRON
ejpam-1623	37	34	is	be	AUX
ejpam-1623	37	35	also	also	ADV
ejpam-1623	37	36	interesting	interesting	ADJ
ejpam-1623	37	37	to	to	PART
ejpam-1623	37	38	ask	ask	VERB
ejpam-1623	37	39	in	in	ADP
ejpam-1623	37	40	how	how	SCONJ
ejpam-1623	37	41	many	many	ADJ
ejpam-1623	37	42	different	different	ADJ
ejpam-1623	37	43	ways	way	NOUN
ejpam-1623	37	44	is	be	AUX
ejpam-1623	37	45	the	the	DET
ejpam-1623	37	46	integer	integer	NOUN
ejpam-1623	37	47	n	n	AUX
ejpam-1623	37	48	represented	represent	VERB
ejpam-1623	37	49	by	by	ADP
ejpam-1623	37	50	q	q	PROPN
ejpam-1623	37	51	?	?	PUNCT
ejpam-1623	38	1	if	if	SCONJ
ejpam-1623	38	2	we	we	PRON
ejpam-1623	38	3	let	let	VERB
ejpam-1623	38	4	r(n	r(n	PROPN
ejpam-1623	38	5	,	,	PUNCT
ejpam-1623	38	6	q	q	NOUN
ejpam-1623	38	7	)	)	PUNCT
ejpam-1623	38	8	count	count	VERB
ejpam-1623	38	9	the	the	DET
ejpam-1623	38	10	number	number	NOUN
ejpam-1623	38	11	of	of	ADP
ejpam-1623	38	12	ways	way	NOUN
ejpam-1623	38	13	of	of	ADP
ejpam-1623	38	14	representing	represent	VERB
ejpam-1623	38	15	n	n	NOUN
ejpam-1623	38	16	by	by	ADP
ejpam-1623	38	17	q	q	NOUN
ejpam-1623	38	18	,	,	PUNCT
ejpam-1623	38	19	then	then	ADV
ejpam-1623	38	20	we	we	PRON
ejpam-1623	38	21	are	be	AUX
ejpam-1623	38	22	asking	ask	VERB
ejpam-1623	38	23	for	for	ADP
ejpam-1623	38	24	a	a	DET
ejpam-1623	38	25	description	description	NOUN
ejpam-1623	38	26	of	of	ADP
ejpam-1623	38	27	the	the	DET
ejpam-1623	38	28	function	function	NOUN
ejpam-1623	38	29	r(n	r(n	PROPN
ejpam-1623	38	30	,	,	PUNCT
ejpam-1623	38	31	q	q	NOUN
ejpam-1623	38	32	)	)	PUNCT
ejpam-1623	38	33	.	.	PUNCT
ejpam-1623	39	1	in	in	ADP
ejpam-1623	39	2	these	these	DET
ejpam-1623	39	3	terms	term	NOUN
ejpam-1623	39	4	,	,	PUNCT
ejpam-1623	39	5	the	the	DET
ejpam-1623	39	6	question	question	NOUN
ejpam-1623	39	7	of	of	ADP
ejpam-1623	39	8	which	which	PRON
ejpam-1623	39	9	integers	integer	NOUN
ejpam-1623	39	10	n	n	PRON
ejpam-1623	39	11	can	can	AUX
ejpam-1623	39	12	be	be	AUX
ejpam-1623	39	13	represented	represent	VERB
ejpam-1623	39	14	by	by	ADP
ejpam-1623	39	15	q	q	NOUN
ejpam-1623	39	16	means	mean	NOUN
ejpam-1623	39	17	,	,	PUNCT
ejpam-1623	39	18	for	for	ADP
ejpam-1623	39	19	which	which	PRON
ejpam-1623	39	20	n	n	CCONJ
ejpam-1623	39	21	,	,	PUNCT
ejpam-1623	39	22	r(n	r(n	PROPN
ejpam-1623	39	23	,	,	PUNCT
ejpam-1623	39	24	q	q	NOUN
ejpam-1623	39	25	)	)	PUNCT
ejpam-1623	39	26	is	be	AUX
ejpam-1623	39	27	>	>	X
ejpam-1623	39	28	0	0	X
ejpam-1623	39	29	?	?	X
ejpam-1623	39	30	finding	find	VERB
ejpam-1623	39	31	exact	exact	ADJ
ejpam-1623	39	32	formulas	formula	NOUN
ejpam-1623	39	33	for	for	ADP
ejpam-1623	39	34	r(n	r(n	PROPN
ejpam-1623	39	35	,	,	PUNCT
ejpam-1623	39	36	q	q	NOUN
ejpam-1623	39	37	)	)	PUNCT
ejpam-1623	39	38	is	be	AUX
ejpam-1623	39	39	a	a	DET
ejpam-1623	39	40	classical	classical	ADJ
ejpam-1623	39	41	problem	problem	NOUN
ejpam-1623	39	42	in	in	ADP
ejpam-1623	39	43	number	number	NOUN
ejpam-1623	39	44	theory	theory	NOUN
ejpam-1623	39	45	.	.	PUNCT
ejpam-1623	40	1	in	in	ADP
ejpam-1623	40	2	some	some	DET
ejpam-1623	40	3	cases	case	NOUN
ejpam-1623	40	4	formulas	formula	NOUN
ejpam-1623	40	5	can	can	AUX
ejpam-1623	40	6	be	be	AUX
ejpam-1623	40	7	obtained	obtain	VERB
ejpam-1623	40	8	for	for	ADP
ejpam-1623	40	9	r(n	r(n	PROPN
ejpam-1623	40	10	,	,	PUNCT
ejpam-1623	40	11	q	q	NOUN
ejpam-1623	40	12	)	)	PUNCT
ejpam-1623	40	13	,	,	PUNCT
ejpam-1623	40	14	but	but	CCONJ
ejpam-1623	40	15	such	such	ADJ
ejpam-1623	40	16	formulas	formula	NOUN
ejpam-1623	40	17	are	be	AUX
ejpam-1623	40	18	quite	quite	ADV
ejpam-1623	40	19	rare	rare	ADJ
ejpam-1623	40	20	[	[	X
ejpam-1623	40	21	3	3	NUM
ejpam-1623	40	22	]	]	PUNCT
ejpam-1623	40	23	.	.	PUNCT
ejpam-1623	41	1	for	for	ADP
ejpam-1623	41	2	instance	instance	NOUN
ejpam-1623	41	3	,	,	PUNCT
ejpam-1623	41	4	if	if	SCONJ
ejpam-1623	41	5	we	we	PRON
ejpam-1623	41	6	consider	consider	VERB
ejpam-1623	41	7	the	the	DET
ejpam-1623	41	8	quadratic	quadratic	ADJ
ejpam-1623	41	9	form	form	NOUN
ejpam-1623	41	10	q	q	NOUN
ejpam-1623	41	11	=	=	SYM
ejpam-1623	41	12	x2	x2	NOUN
ejpam-1623	41	13	1	1	NUM
ejpam-1623	42	1	+	+	NUM
ejpam-1623	42	2	x2	x2	PROPN
ejpam-1623	42	3	2	2	NUM
ejpam-1623	43	1	+	+	NUM
ejpam-1623	43	2	x2	x2	PROPN
ejpam-1623	43	3	3	3	NUM
ejpam-1623	44	1	+	+	NUM
ejpam-1623	44	2	x2	x2	PROPN
ejpam-1623	44	3	4	4	NUM
ejpam-1623	44	4	and	and	CCONJ
ejpam-1623	44	5	n	n	CCONJ
ejpam-1623	44	6	>	>	X
ejpam-1623	44	7	0	0	NUM
ejpam-1623	44	8	,	,	PUNCT
ejpam-1623	44	9	then	then	ADV
ejpam-1623	44	10	we	we	PRON
ejpam-1623	44	11	have	have	VERB
ejpam-1623	44	12	the	the	DET
ejpam-1623	44	13	following	follow	VERB
ejpam-1623	44	14	jacobi	jacobi	PROPN
ejpam-1623	44	15	’s	’s	PART
ejpam-1623	44	16	result	result	NOUN
ejpam-1623	45	1	[	[	X
ejpam-1623	45	2	3	3	NUM
ejpam-1623	45	3	]	]	X
ejpam-1623	45	4	:	:	PUNCT
ejpam-1623	46	1	r(n	r(n	PROPN
ejpam-1623	46	2	,	,	PUNCT
ejpam-1623	46	3	q	q	NOUN
ejpam-1623	46	4	)	)	PUNCT
ejpam-1623	46	5	=	=	SYM
ejpam-1623	46	6	8	8	NUM
ejpam-1623	46	7	∑	∑	PUNCT
ejpam-1623	46	8	d\n	d\n	PROPN
ejpam-1623	46	9	4∤d>0	4∤d>0	NUM
ejpam-1623	47	1	d	d	NOUN
ejpam-1623	47	2	.	.	PUNCT
ejpam-1623	48	1	peterson	peterson	PROPN
ejpam-1623	49	1	[	[	X
ejpam-1623	49	2	8	8	NUM
ejpam-1623	49	3	]	]	PUNCT
ejpam-1623	49	4	,	,	PUNCT
ejpam-1623	49	5	for	for	ADP
ejpam-1623	49	6	the	the	DET
ejpam-1623	49	7	first	first	ADJ
ejpam-1623	49	8	time	time	NOUN
ejpam-1623	49	9	,	,	PUNCT
ejpam-1623	49	10	considered	consider	VERB
ejpam-1623	49	11	the	the	DET
ejpam-1623	49	12	problem	problem	NOUN
ejpam-1623	49	13	of	of	ADP
ejpam-1623	49	14	representation	representation	NOUN
ejpam-1623	49	15	of	of	ADP
ejpam-1623	49	16	numbers	number	NOUN
ejpam-1623	49	17	by	by	ADP
ejpam-1623	49	18	the	the	DET
ejpam-1623	49	19	direct	direct	ADJ
ejpam-1623	49	20	sum	sum	NOUN
ejpam-1623	49	21	of	of	ADP
ejpam-1623	49	22	some	some	DET
ejpam-1623	49	23	binary	binary	ADJ
ejpam-1623	49	24	quadratic	quadratic	ADJ
ejpam-1623	49	25	forms	form	NOUN
ejpam-1623	49	26	.	.	PUNCT
ejpam-1623	50	1	kendirli	kendirli	NOUN
ejpam-1623	51	1	[	[	X
ejpam-1623	51	2	4	4	NUM
ejpam-1623	51	3	]	]	PUNCT
ejpam-1623	51	4	has	have	AUX
ejpam-1623	51	5	given	give	VERB
ejpam-1623	51	6	the	the	DET
ejpam-1623	51	7	number	number	NOUN
ejpam-1623	51	8	of	of	ADP
ejpam-1623	51	9	representations	representation	NOUN
ejpam-1623	51	10	of	of	ADP
ejpam-1623	51	11	positive	positive	ADJ
ejpam-1623	51	12	integers	integer	NOUN
ejpam-1623	51	13	by	by	ADP
ejpam-1623	51	14	some	some	DET
ejpam-1623	51	15	direct	direct	ADJ
ejpam-1623	51	16	sum	sum	NOUN
ejpam-1623	51	17	of	of	ADP
ejpam-1623	51	18	binary	binary	ADJ
ejpam-1623	51	19	quadratic	quadratic	ADJ
ejpam-1623	51	20	forms	form	NOUN
ejpam-1623	51	21	with	with	ADP
ejpam-1623	51	22	discriminant	discriminant	ADJ
ejpam-1623	51	23	−79	−79	NOUN
ejpam-1623	51	24	.	.	PUNCT
ejpam-1623	52	1	in	in	ADP
ejpam-1623	52	2	this	this	DET
ejpam-1623	52	3	study	study	NOUN
ejpam-1623	52	4	we	we	PRON
ejpam-1623	52	5	obtain	obtain	VERB
ejpam-1623	52	6	a	a	DET
ejpam-1623	52	7	basis	basis	NOUN
ejpam-1623	52	8	of	of	ADP
ejpam-1623	52	9	the	the	DET
ejpam-1623	52	10	space	space	NOUN
ejpam-1623	52	11	s4(γ0(191	s4(γ0(191	PROPN
ejpam-1623	52	12	)	)	PUNCT
ejpam-1623	52	13	)	)	PUNCT
ejpam-1623	52	14	and	and	CCONJ
ejpam-1623	52	15	formulae	formulae	VERB
ejpam-1623	52	16	for	for	ADP
ejpam-1623	52	17	the	the	DET
ejpam-1623	52	18	number	number	NOUN
ejpam-1623	52	19	of	of	ADP
ejpam-1623	52	20	representations	representation	NOUN
ejpam-1623	52	21	of	of	ADP
ejpam-1623	52	22	positive	positive	ADJ
ejpam-1623	52	23	integers	integer	NOUN
ejpam-1623	52	24	by	by	ADP
ejpam-1623	52	25	some	some	DET
ejpam-1623	52	26	direct	direct	ADJ
ejpam-1623	52	27	sums	sum	NOUN
ejpam-1623	52	28	of	of	ADP
ejpam-1623	52	29	binary	binary	ADJ
ejpam-1623	52	30	quadratic	quadratic	ADJ
ejpam-1623	52	31	forms	form	NOUN
ejpam-1623	52	32	with	with	ADP
ejpam-1623	52	33	discriminant	discriminant	ADJ
ejpam-1623	52	34	−191	−191	PROPN
ejpam-1623	52	35	which	which	PRON
ejpam-1623	52	36	are	be	AUX
ejpam-1623	52	37	all	all	PRON
ejpam-1623	52	38	quadratic	quadratic	ADJ
ejpam-1623	52	39	forms	form	NOUN
ejpam-1623	52	40	8	8	NUM
ejpam-1623	52	41	variables	variable	NOUN
ejpam-1623	52	42	.	.	PUNCT
ejpam-1623	53	1	there	there	PRON
ejpam-1623	53	2	exist	exist	VERB
ejpam-1623	53	3	13	13	NUM
ejpam-1623	53	4	inequivalent	inequivalent	NOUN
ejpam-1623	53	5	classes	class	NOUN
ejpam-1623	53	6	of	of	ADP
ejpam-1623	53	7	binary	binary	ADJ
ejpam-1623	53	8	quadratic	quadratic	ADJ
ejpam-1623	53	9	forms	form	NOUN
ejpam-1623	53	10	with	with	ADP
ejpam-1623	53	11	discriminant	discriminant	PROPN
ejpam-1623	53	12	−191	−191	PROPN
ejpam-1623	53	13	.	.	PUNCT
ejpam-1623	54	1	these	these	PRON
ejpam-1623	54	2	are	be	AUX
ejpam-1623	54	3	:	:	PUNCT
ejpam-1623	54	4	f1	f1	PROPN
ejpam-1623	54	5	=	=	SYM
ejpam-1623	54	6	x2	x2	NOUN
ejpam-1623	54	7	1	1	NUM
ejpam-1623	55	1	+	+	NUM
ejpam-1623	55	2	x1	x1	NUM
ejpam-1623	55	3	x2	x2	PROPN
ejpam-1623	55	4	+	+	CCONJ
ejpam-1623	55	5	48x2	48x2	NUM
ejpam-1623	55	6	2	2	NUM
ejpam-1623	55	7	φ1	φ1	NOUN
ejpam-1623	55	8	=	=	SYM
ejpam-1623	56	1	2x2	2x2	NUM
ejpam-1623	56	2	1	1	NUM
ejpam-1623	56	3	+	+	CCONJ
ejpam-1623	56	4	x1	x1	NUM
ejpam-1623	56	5	x2	x2	PROPN
ejpam-1623	57	1	+	+	NUM
ejpam-1623	58	1	24x2	24x2	NUM
ejpam-1623	59	1	2,φ′1	2,φ′1	NUM
ejpam-1623	59	2	=	=	SYM
ejpam-1623	59	3	2x2	2x2	NUM
ejpam-1623	59	4	1	1	NUM
ejpam-1623	59	5	−	−	NUM
ejpam-1623	59	6	x1	x1	PROPN
ejpam-1623	59	7	x2	x2	PROPN
ejpam-1623	59	8	+	+	CCONJ
ejpam-1623	59	9	24x2	24x2	NUM
ejpam-1623	59	10	2	2	NUM
ejpam-1623	59	11	ψ1	ψ1	NOUN
ejpam-1623	59	12	=	=	SYM
ejpam-1623	59	13	3x2	3x2	NUM
ejpam-1623	59	14	1	1	NUM
ejpam-1623	59	15	+	+	NUM
ejpam-1623	59	16	x1	x1	NUM
ejpam-1623	59	17	x2	x2	PROPN
ejpam-1623	60	1	+	+	CCONJ
ejpam-1623	60	2	16x2	16x2	NUM
ejpam-1623	60	3	2,ψ′1	2,ψ′1	NUM
ejpam-1623	60	4	=	=	SYM
ejpam-1623	60	5	3x2	3x2	NUM
ejpam-1623	60	6	1	1	NUM
ejpam-1623	60	7	−	−	NUM
ejpam-1623	61	1	x1	x1	PROPN
ejpam-1623	61	2	x2	x2	PROPN
ejpam-1623	61	3	+	+	CCONJ
ejpam-1623	61	4	16x2	16x2	NUM
ejpam-1623	61	5	2	2	NUM
ejpam-1623	61	6	λ1	λ1	NOUN
ejpam-1623	61	7	=	=	SYM
ejpam-1623	61	8	4x2	4x2	NUM
ejpam-1623	61	9	1	1	NUM
ejpam-1623	62	1	+	+	NUM
ejpam-1623	62	2	x1	x1	NUM
ejpam-1623	63	1	x2	x2	NOUN
ejpam-1623	64	1	+	+	CCONJ
ejpam-1623	64	2	12x2	12x2	NUM
ejpam-1623	64	3	2,λ′1	2,λ′1	NUM
ejpam-1623	64	4	=	=	SYM
ejpam-1623	64	5	4x2	4x2	NUM
ejpam-1623	64	6	1	1	NUM
ejpam-1623	64	7	−	−	NUM
ejpam-1623	65	1	x1	x1	PROPN
ejpam-1623	65	2	x2	x2	PROPN
ejpam-1623	65	3	+	+	CCONJ
ejpam-1623	65	4	12x2	12x2	NUM
ejpam-1623	65	5	2	2	NUM
ejpam-1623	65	6	,	,	PUNCT
ejpam-1623	65	7	υ1	υ1	NOUN
ejpam-1623	65	8	=	=	SYM
ejpam-1623	65	9	5x2	5x2	NUM
ejpam-1623	65	10	1	1	NUM
ejpam-1623	65	11	+	+	SYM
ejpam-1623	65	12	3x1	3x1	NUM
ejpam-1623	65	13	x2	x2	NOUN
ejpam-1623	65	14	+	+	CCONJ
ejpam-1623	65	15	10x2	10x2	NUM
ejpam-1623	65	16	2,υ′1	2,υ′1	NUM
ejpam-1623	65	17	=	=	SYM
ejpam-1623	65	18	5x2	5x2	NUM
ejpam-1623	65	19	1	1	NUM
ejpam-1623	65	20	−	−	PROPN
ejpam-1623	65	21	3x1	3x1	NUM
ejpam-1623	65	22	x2	x2	PROPN
ejpam-1623	65	23	+	+	CCONJ
ejpam-1623	65	24	10x2	10x2	NUM
ejpam-1623	65	25	2	2	NUM
ejpam-1623	65	26	,	,	PUNCT
ejpam-1623	65	27	ω1	ω1	X
ejpam-1623	65	28	=	=	SYM
ejpam-1623	65	29	6x2	6x2	NUM
ejpam-1623	65	30	1	1	NUM
ejpam-1623	66	1	+	+	CCONJ
ejpam-1623	67	1	x1	x1	NUM
ejpam-1623	68	1	x2	x2	PROPN
ejpam-1623	69	1	+	+	NOUN
ejpam-1623	69	2	8x2	8x2	NUM
ejpam-1623	69	3	2,ω′1	2,ω′1	NUM
ejpam-1623	69	4	=	=	SYM
ejpam-1623	69	5	6x2	6x2	NUM
ejpam-1623	69	6	1	1	NUM
ejpam-1623	69	7	−	−	NUM
ejpam-1623	70	1	x1	x1	PROPN
ejpam-1623	70	2	x2	x2	PROPN
ejpam-1623	70	3	+	+	PROPN
ejpam-1623	70	4	8x2	8x2	NUM
ejpam-1623	70	5	2	2	NUM
ejpam-1623	70	6	,	,	PUNCT
ejpam-1623	70	7	π1	π1	NOUN
ejpam-1623	70	8	=	=	SYM
ejpam-1623	70	9	6x2	6x2	NUM
ejpam-1623	70	10	1	1	NUM
ejpam-1623	70	11	+	+	CCONJ
ejpam-1623	70	12	5x1	5x1	NUM
ejpam-1623	70	13	x2	x2	NOUN
ejpam-1623	70	14	+	+	CCONJ
ejpam-1623	70	15	9x2	9x2	NUM
ejpam-1623	70	16	2,π′1	2,π′1	NUM
ejpam-1623	70	17	=	=	SYM
ejpam-1623	70	18	6x2	6x2	NUM
ejpam-1623	70	19	1	1	NUM
ejpam-1623	70	20	−	−	NUM
ejpam-1623	70	21	5x1	5x1	NUM
ejpam-1623	70	22	x2	x2	PROPN
ejpam-1623	70	23	+	+	CCONJ
ejpam-1623	70	24	9x2	9x2	NUM
ejpam-1623	70	25	2	2	NUM
ejpam-1623	70	26	,	,	PUNCT
ejpam-1623	70	27	here	here	ADV
ejpam-1623	70	28	φ′1	φ′1	ADJ
ejpam-1623	70	29	,	,	PUNCT
ejpam-1623	70	30	ψ′1	ψ′1	NOUN
ejpam-1623	70	31	,	,	PUNCT
ejpam-1623	70	32	λ′1	λ′1	NOUN
ejpam-1623	70	33	,	,	PUNCT
ejpam-1623	70	34	υ′1	υ′1	NOUN
ejpam-1623	70	35	,	,	PUNCT
ejpam-1623	70	36	ω′1	ω′1	NOUN
ejpam-1623	70	37	,	,	PUNCT
ejpam-1623	70	38	and	and	CCONJ
ejpam-1623	70	39	π′1	π′1	VERB
ejpam-1623	70	40	are	be	AUX
ejpam-1623	70	41	respectively	respectively	ADV
ejpam-1623	70	42	the	the	DET
ejpam-1623	70	43	inverses	inverse	NOUN
ejpam-1623	70	44	of	of	ADP
ejpam-1623	70	45	φ1	φ1	PROPN
ejpam-1623	70	46	,	,	PUNCT
ejpam-1623	70	47	ψ1	ψ1	NOUN
ejpam-1623	70	48	,	,	PUNCT
ejpam-1623	70	49	λ1	λ1	ADJ
ejpam-1623	70	50	,	,	PUNCT
ejpam-1623	70	51	υ1	υ1	PROPN
ejpam-1623	70	52	,	,	PUNCT
ejpam-1623	70	53	ω1	ω1	PROPN
ejpam-1623	70	54	,	,	PUNCT
ejpam-1623	70	55	and	and	CCONJ
ejpam-1623	70	56	π1	π1	NOUN
ejpam-1623	70	57	.	.	PUNCT
ejpam-1623	71	1	therefore	therefore	ADV
ejpam-1623	71	2	the	the	DET
ejpam-1623	71	3	theta	theta	PROPN
ejpam-1623	71	4	series	series	NOUN
ejpam-1623	71	5	of	of	ADP
ejpam-1623	71	6	φ′1	φ′1	NOUN
ejpam-1623	71	7	,	,	PUNCT
ejpam-1623	71	8	ψ′1	ψ′1	NOUN
ejpam-1623	71	9	,	,	PUNCT
ejpam-1623	71	10	λ′1	λ′1	NOUN
ejpam-1623	71	11	,	,	PUNCT
ejpam-1623	71	12	υ′1	υ′1	NOUN
ejpam-1623	71	13	,	,	PUNCT
ejpam-1623	71	14	ω′1	ω′1	NOUN
ejpam-1623	71	15	,	,	PUNCT
ejpam-1623	71	16	and	and	CCONJ
ejpam-1623	71	17	π′1	π′1	VERB
ejpam-1623	71	18	are	be	AUX
ejpam-1623	71	19	respectively	respectively	ADV
ejpam-1623	71	20	same	same	ADJ
ejpam-1623	71	21	with	with	ADP
ejpam-1623	71	22	the	the	DET
ejpam-1623	71	23	theta	theta	PROPN
ejpam-1623	71	24	series	series	NOUN
ejpam-1623	71	25	of	of	ADP
ejpam-1623	71	26	φ1	φ1	PROPN
ejpam-1623	71	27	,	,	PUNCT
ejpam-1623	71	28	ψ1	ψ1	NOUN
ejpam-1623	71	29	,	,	PUNCT
ejpam-1623	71	30	λ1	λ1	ADJ
ejpam-1623	71	31	,	,	PUNCT
ejpam-1623	71	32	υ1	υ1	PROPN
ejpam-1623	71	33	,	,	PUNCT
ejpam-1623	71	34	ω1	ω1	PROPN
ejpam-1623	71	35	,	,	PUNCT
ejpam-1623	71	36	and	and	CCONJ
ejpam-1623	71	37	π1	π1	NOUN
ejpam-1623	71	38	.	.	PUNCT
ejpam-1623	72	1	here	here	ADV
ejpam-1623	72	2	f1	f1	PROPN
ejpam-1623	72	3	is	be	AUX
ejpam-1623	72	4	the	the	DET
ejpam-1623	72	5	identity	identity	NOUN
ejpam-1623	72	6	element	element	NOUN
ejpam-1623	72	7	and	and	CCONJ
ejpam-1623	72	8	these	these	DET
ejpam-1623	72	9	quadratic	quadratic	ADJ
ejpam-1623	72	10	forms	form	NOUN
ejpam-1623	72	11	form	form	VERB
ejpam-1623	72	12	a	a	DET
ejpam-1623	72	13	group	group	NOUN
ejpam-1623	72	14	of	of	ADP
ejpam-1623	72	15	order	order	NOUN
ejpam-1623	72	16	13	13	NUM
ejpam-1623	72	17	which	which	PRON
ejpam-1623	72	18	can	can	AUX
ejpam-1623	72	19	be	be	AUX
ejpam-1623	72	20	described	describe	VERB
ejpam-1623	72	21	as	as	ADP
ejpam-1623	72	22	:	:	PUNCT
ejpam-1623	72	23	φ1,φ2	φ1,φ2	PROPN
ejpam-1623	72	24	1	1	NUM
ejpam-1623	72	25	=	=	PUNCT
ejpam-1623	72	26	λ1,φ3	λ1,φ3	PROPN
ejpam-1623	72	27	1	1	NUM
ejpam-1623	72	28	=	=	SYM
ejpam-1623	72	29	ω	ω	NUM
ejpam-1623	73	1	′	′	NUM
ejpam-1623	74	1	1,φ4	1,φ4	NUM
ejpam-1623	74	2	1	1	NUM
ejpam-1623	74	3	=	=	SYM
ejpam-1623	74	4	ψ	ψ	NOUN
ejpam-1623	74	5	′	′	NUM
ejpam-1623	75	1	1,φ5	1,φ5	NUM
ejpam-1623	75	2	1	1	NUM
ejpam-1623	75	3	=	=	SYM
ejpam-1623	75	4	π1,φ6	π1,φ6	PROPN
ejpam-1623	75	5	1	1	NUM
ejpam-1623	75	6	=	=	SYM
ejpam-1623	75	7	υ	υ	NOUN
ejpam-1623	75	8	′	′	NUM
ejpam-1623	75	9	1,φ7	1,φ7	NUM
ejpam-1623	75	10	1	1	NUM
ejpam-1623	75	11	=	=	SYM
ejpam-1623	75	12	υ1,φ8	υ1,φ8	PROPN
ejpam-1623	75	13	1	1	NUM
ejpam-1623	75	14	=	=	SYM
ejpam-1623	75	15	π	π	NOUN
ejpam-1623	75	16	′	′	NUM
ejpam-1623	75	17	1,φ9	1,φ9	NUM
ejpam-1623	75	18	1	1	NUM
ejpam-1623	75	19	=	=	SYM
ejpam-1623	75	20	ψ1	ψ1	NOUN
ejpam-1623	75	21	,	,	PUNCT
ejpam-1623	75	22	φ10	φ10	NOUN
ejpam-1623	75	23	1	1	NUM
ejpam-1623	75	24	=	=	SYM
ejpam-1623	75	25	ω1,φ11	ω1,φ11	ADJ
ejpam-1623	75	26	1	1	NUM
ejpam-1623	75	27	=	=	SYM
ejpam-1623	75	28	λ	λ	NOUN
ejpam-1623	75	29	′	′	NOUN
ejpam-1623	75	30	1,φ12	1,φ12	NUM
ejpam-1623	75	31	1	1	NUM
ejpam-1623	75	32	=	=	SYM
ejpam-1623	75	33	φ	φ	NUM
ejpam-1623	75	34	′	′	NUM
ejpam-1623	75	35	1,φ13	1,φ13	NUM
ejpam-1623	75	36	1	1	NUM
ejpam-1623	75	37	=	=	SYM
ejpam-1623	75	38	f1	f1	NOUN
ejpam-1623	75	39	.	.	PUNCT
ejpam-1623	76	1	since	since	SCONJ
ejpam-1623	76	2	191	191	NUM
ejpam-1623	76	3	is	be	AUX
ejpam-1623	76	4	prime	prime	ADJ
ejpam-1623	76	5	number	number	NOUN
ejpam-1623	76	6	then	then	ADV
ejpam-1623	76	7	there	there	PRON
ejpam-1623	76	8	is	be	VERB
ejpam-1623	76	9	only	only	ADV
ejpam-1623	76	10	one	one	NUM
ejpam-1623	76	11	genus	genus	NOUN
ejpam-1623	76	12	,	,	PUNCT
ejpam-1623	76	13	i.e.	i.e.	X
ejpam-1623	76	14	,	,	PUNCT
ejpam-1623	76	15	the	the	DET
ejpam-1623	76	16	principal	principal	ADJ
ejpam-1623	76	17	genus	genus	NOUN
ejpam-1623	76	18	.	.	PUNCT
ejpam-1623	77	1	for	for	ADP
ejpam-1623	77	2	any	any	DET
ejpam-1623	77	3	quadratic	quadratic	ADJ
ejpam-1623	77	4	form	form	NOUN
ejpam-1623	77	5	q1	q1	NOUN
ejpam-1623	77	6	let	let	VERB
ejpam-1623	77	7	qk	qk	NOUN
ejpam-1623	77	8	=	=	PROPN
ejpam-1623	77	9	q1	q1	PROPN
ejpam-1623	77	10	+	+	X
ejpam-1623	77	11	.	.	PUNCT
ejpam-1623	77	12	.	.	PUNCT
ejpam-1623	77	13	.	.	PUNCT
ejpam-1623	78	1	+	+	NUM
ejpam-1623	78	2	q1	q1	PROPN
ejpam-1623	78	3	(	(	PUNCT
ejpam-1623	78	4	k	k	PROPN
ejpam-1623	78	5	times	time	NOUN
ejpam-1623	78	6	)	)	PUNCT
ejpam-1623	78	7	be	be	AUX
ejpam-1623	78	8	kth	kth	PROPN
ejpam-1623	78	9	direct	direct	ADJ
ejpam-1623	78	10	sum	sum	NOUN
ejpam-1623	78	11	of	of	ADP
ejpam-1623	78	12	this	this	DET
ejpam-1623	78	13	quadratic	quadratic	ADJ
ejpam-1623	78	14	form	form	NOUN
ejpam-1623	78	15	.	.	PUNCT
ejpam-1623	79	1	in	in	ADP
ejpam-1623	79	2	the	the	DET
ejpam-1623	79	3	present	present	ADJ
ejpam-1623	79	4	paper	paper	NOUN
ejpam-1623	79	5	we	we	PRON
ejpam-1623	79	6	obtain	obtain	VERB
ejpam-1623	79	7	formulas	formula	NOUN
ejpam-1623	79	8	r(n	r(n	PROPN
ejpam-1623	79	9	,	,	PUNCT
ejpam-1623	79	10	q	q	NOUN
ejpam-1623	79	11	)	)	PUNCT
ejpam-1623	79	12	for	for	ADP
ejpam-1623	79	13	any	any	PRON
ejpam-1623	79	14	of	of	ADP
ejpam-1623	79	15	the	the	DET
ejpam-1623	79	16	quadratic	quadratic	PROPN
ejpam-1623	79	17	b.	b.	PROPN
ejpam-1623	79	18	köklüce	köklüce	PROPN
ejpam-1623	79	19	/	/	SYM
ejpam-1623	79	20	eur	eur	PROPN
ejpam-1623	79	21	.	.	PUNCT
ejpam-1623	80	1	j.	j.	PROPN
ejpam-1623	80	2	pure	pure	PROPN
ejpam-1623	80	3	appl	appl	PROPN
ejpam-1623	80	4	.	.	PROPN
ejpam-1623	80	5	math	math	PROPN
ejpam-1623	80	6	,	,	PUNCT
ejpam-1623	80	7	5	5	NUM
ejpam-1623	80	8	(	(	PUNCT
ejpam-1623	80	9	2012	2012	NUM
ejpam-1623	80	10	)	)	PUNCT
ejpam-1623	80	11	,	,	PUNCT
ejpam-1623	80	12	451	451	NUM
ejpam-1623	80	13	-	-	SYM
ejpam-1623	80	14	468	468	NUM
ejpam-1623	80	15	453	453	NUM
ejpam-1623	80	16	forms	form	NOUN
ejpam-1623	80	17	q	q	NOUN
ejpam-1623	80	18	=	=	PUNCT
ejpam-1623	80	19	f4,φ4,ψ4,λ4,υ4,ω4,π4	f4,φ4,ψ4,λ4,υ4,ω4,π4	PROPN
ejpam-1623	80	20	,	,	PUNCT
ejpam-1623	80	21	fi	fi	NOUN
ejpam-1623	80	22	⊕φ	⊕φ	PROPN
ejpam-1623	80	23	j	j	PROPN
ejpam-1623	80	24	,	,	PUNCT
ejpam-1623	80	25	fi	fi	NOUN
ejpam-1623	80	26	⊕ψ	⊕ψ	PROPN
ejpam-1623	80	27	j	j	PROPN
ejpam-1623	80	28	,	,	PUNCT
ejpam-1623	80	29	fi	fi	PROPN
ejpam-1623	80	30	⊕λ	⊕λ	PROPN
ejpam-1623	80	31	j	j	PROPN
ejpam-1623	80	32	,	,	PUNCT
ejpam-1623	80	33	fi	fi	NOUN
ejpam-1623	80	34	⊕υ	⊕υ	PROPN
ejpam-1623	80	35	j	j	PROPN
ejpam-1623	80	36	,	,	PUNCT
ejpam-1623	80	37	fi	fi	INTJ
ejpam-1623	80	38	⊕ω	⊕ω	PROPN
ejpam-1623	80	39	j	j	PROPN
ejpam-1623	80	40	,	,	PUNCT
ejpam-1623	80	41	fi	fi	NOUN
ejpam-1623	80	42	⊕π	⊕π	PROPN
ejpam-1623	80	43	j	j	PROPN
ejpam-1623	80	44	,	,	PUNCT
ejpam-1623	80	45	φi	φi	ADP
ejpam-1623	80	46	⊕ψ	⊕ψ	PROPN
ejpam-1623	80	47	j	j	PROPN
ejpam-1623	80	48	,	,	PUNCT
ejpam-1623	80	49	φi	φi	PROPN
ejpam-1623	80	50	⊕λ	⊕λ	PROPN
ejpam-1623	80	51	j	j	PROPN
ejpam-1623	80	52	,	,	PUNCT
ejpam-1623	80	53	φi	φi	ADP
ejpam-1623	80	54	⊕υ	⊕υ	PROPN
ejpam-1623	80	55	j	j	PROPN
ejpam-1623	80	56	,	,	PUNCT
ejpam-1623	80	57	φi	φi	ADP
ejpam-1623	80	58	⊕ω	⊕ω	PROPN
ejpam-1623	80	59	j	j	PROPN
ejpam-1623	80	60	,	,	PUNCT
ejpam-1623	80	61	φi	φi	ADP
ejpam-1623	80	62	⊕π	⊕π	PROPN
ejpam-1623	80	63	j	j	PROPN
ejpam-1623	80	64	,	,	PUNCT
ejpam-1623	80	65	ψi	ψi	PROPN
ejpam-1623	80	66	⊕λ	⊕λ	PROPN
ejpam-1623	80	67	j	j	PROPN
ejpam-1623	80	68	,	,	PUNCT
ejpam-1623	80	69	ψi	ψi	ADP
ejpam-1623	80	70	⊕υ	⊕υ	PROPN
ejpam-1623	80	71	j	j	PROPN
ejpam-1623	80	72	,	,	PUNCT
ejpam-1623	80	73	ψi	ψi	ADP
ejpam-1623	80	74	⊕ω	⊕ω	PROPN
ejpam-1623	80	75	j	j	PROPN
ejpam-1623	80	76	,	,	PUNCT
ejpam-1623	80	77	ψi	ψi	ADP
ejpam-1623	80	78	⊕π	⊕π	PROPN
ejpam-1623	80	79	j	j	PROPN
ejpam-1623	80	80	,	,	PUNCT
ejpam-1623	80	81	λi	λi	PROPN
ejpam-1623	80	82	⊕υ	⊕υ	PROPN
ejpam-1623	80	83	j	j	PROPN
ejpam-1623	80	84	,	,	PUNCT
ejpam-1623	80	85	λi	λi	PROPN
ejpam-1623	80	86	⊕ω	⊕ω	PROPN
ejpam-1623	80	87	j	j	PROPN
ejpam-1623	80	88	,	,	PUNCT
ejpam-1623	80	89	λi	λi	PROPN
ejpam-1623	80	90	⊕π	⊕π	PROPN
ejpam-1623	80	91	j	j	PROPN
ejpam-1623	80	92	,	,	PUNCT
ejpam-1623	80	93	υi	υi	INTJ
ejpam-1623	81	1	⊕ω	⊕ω	PROPN
ejpam-1623	81	2	j	j	PROPN
ejpam-1623	81	3	,	,	PUNCT
ejpam-1623	81	4	υi	υi	PROPN
ejpam-1623	81	5	⊕π	⊕π	PROPN
ejpam-1623	81	6	j	j	PROPN
ejpam-1623	81	7	,	,	PUNCT
ejpam-1623	81	8	ωi	ωi	PROPN
ejpam-1623	81	9	⊕π	⊕π	PROPN
ejpam-1623	81	10	j	j	PROPN
ejpam-1623	81	11	,	,	PUNCT
ejpam-1623	81	12	fi	fi	PROPN
ejpam-1623	81	13	⊕φ	⊕φ	PROPN
ejpam-1623	81	14	j	j	PROPN
ejpam-1623	81	15	⊕ψl	⊕ψl	PROPN
ejpam-1623	81	16	,	,	PUNCT
ejpam-1623	81	17	fi	fi	NOUN
ejpam-1623	81	18	⊕φ	⊕φ	PROPN
ejpam-1623	81	19	j	j	PROPN
ejpam-1623	81	20	⊕λl	⊕λl	PROPN
ejpam-1623	81	21	,	,	PUNCT
ejpam-1623	81	22	fi	fi	NOUN
ejpam-1623	81	23	⊕φ	⊕φ	PROPN
ejpam-1623	81	24	j	j	PROPN
ejpam-1623	81	25	⊕υl	⊕υl	PROPN
ejpam-1623	81	26	,	,	PUNCT
ejpam-1623	81	27	fi	fi	NOUN
ejpam-1623	81	28	⊕φ	⊕φ	PROPN
ejpam-1623	81	29	j	j	PROPN
ejpam-1623	81	30	⊕ωl	⊕ωl	NUM
ejpam-1623	81	31	,	,	PUNCT
ejpam-1623	81	32	fi	fi	NOUN
ejpam-1623	81	33	⊕φ	⊕φ	PROPN
ejpam-1623	81	34	j	j	PROPN
ejpam-1623	81	35	⊕πl	⊕πl	PROPN
ejpam-1623	81	36	,	,	PUNCT
ejpam-1623	81	37	φi	φi	ADP
ejpam-1623	81	38	⊕ψ	⊕ψ	PROPN
ejpam-1623	81	39	j	j	PROPN
ejpam-1623	81	40	⊕λl	⊕λl	PROPN
ejpam-1623	81	41	,	,	PUNCT
ejpam-1623	81	42	φi	φi	ADP
ejpam-1623	81	43	⊕ψ	⊕ψ	PROPN
ejpam-1623	81	44	j	j	PROPN
ejpam-1623	81	45	⊕υl	⊕υl	PROPN
ejpam-1623	81	46	,	,	PUNCT
ejpam-1623	81	47	φi	φi	ADP
ejpam-1623	81	48	⊕ψ	⊕ψ	PROPN
ejpam-1623	81	49	j	j	PROPN
ejpam-1623	81	50	⊕ωl	⊕ωl	NUM
ejpam-1623	81	51	,	,	PUNCT
ejpam-1623	81	52	φi	φi	ADP
ejpam-1623	81	53	⊕ψ	⊕ψ	PROPN
ejpam-1623	81	54	j	j	PROPN
ejpam-1623	81	55	⊕πl	⊕πl	PROPN
ejpam-1623	81	56	,	,	PUNCT
ejpam-1623	81	57	ψi	ψi	PROPN
ejpam-1623	81	58	⊕λ	⊕λ	PROPN
ejpam-1623	81	59	j	j	PROPN
ejpam-1623	81	60	⊕υl	⊕υl	PROPN
ejpam-1623	81	61	,	,	PUNCT
ejpam-1623	81	62	ψi	ψi	ADP
ejpam-1623	81	63	⊕λ	⊕λ	PROPN
ejpam-1623	81	64	j	j	PROPN
ejpam-1623	82	1	⊕ωl	⊕ωl	PROPN
ejpam-1623	82	2	,	,	PUNCT
ejpam-1623	82	3	ψi	ψi	PROPN
ejpam-1623	82	4	⊕λ	⊕λ	PROPN
ejpam-1623	83	1	j	j	PROPN
ejpam-1623	83	2	⊕ωl	⊕ωl	PROPN
ejpam-1623	83	3	,	,	PUNCT
ejpam-1623	83	4	ψi	ψi	PROPN
ejpam-1623	83	5	⊕λ	⊕λ	PROPN
ejpam-1623	83	6	j	j	PROPN
ejpam-1623	83	7	⊕πl	⊕πl	PROPN
ejpam-1623	83	8	,	,	PUNCT
ejpam-1623	83	9	λi	λi	PROPN
ejpam-1623	83	10	⊕υ	⊕υ	PROPN
ejpam-1623	83	11	j	j	PROPN
ejpam-1623	83	12	⊕ωl	⊕ωl	PROPN
ejpam-1623	83	13	,	,	PUNCT
ejpam-1623	83	14	λi	λi	INTJ
ejpam-1623	83	15	⊕υ	⊕υ	PROPN
ejpam-1623	83	16	j	j	PROPN
ejpam-1623	83	17	⊕πl	⊕πl	PROPN
ejpam-1623	83	18	,	,	PUNCT
ejpam-1623	84	1	υi	υi	INTJ
ejpam-1623	84	2	⊕ω	⊕ω	PROPN
ejpam-1623	84	3	j	j	PROPN
ejpam-1623	84	4	⊕πl	⊕πl	PROPN
ejpam-1623	84	5	,	,	PUNCT
ejpam-1623	84	6	f1	f1	PROPN
ejpam-1623	84	7	⊕φ1	⊕φ1	PROPN
ejpam-1623	84	8	⊕ψ1	⊕ψ1	NOUN
ejpam-1623	84	9	⊕λ1	⊕λ1	NOUN
ejpam-1623	84	10	,	,	PUNCT
ejpam-1623	84	11	f1	f1	NOUN
ejpam-1623	84	12	⊕φ1	⊕φ1	NUM
ejpam-1623	84	13	⊕ψ1⊕υ1	⊕ψ1⊕υ1	NOUN
ejpam-1623	84	14	,	,	PUNCT
ejpam-1623	84	15	f1	f1	NOUN
ejpam-1623	84	16	⊕φ1	⊕φ1	NOUN
ejpam-1623	84	17	⊕ψ1	⊕ψ1	PRON
ejpam-1623	84	18	⊕ω1	⊕ω1	NOUN
ejpam-1623	84	19	,	,	PUNCT
ejpam-1623	84	20	f1	f1	NOUN
ejpam-1623	84	21	⊕φ1	⊕φ1	NUM
ejpam-1623	84	22	⊕ψ1	⊕ψ1	NOUN
ejpam-1623	84	23	⊕π1,φ1	⊕π1,φ1	NOUN
ejpam-1623	84	24	⊕ψ1	⊕ψ1	PROPN
ejpam-1623	84	25	⊕λ1	⊕λ1	NOUN
ejpam-1623	84	26	⊕υ1,φ1	⊕υ1,φ1	NOUN
ejpam-1623	84	27	⊕ψ1	⊕ψ1	NUM
ejpam-1623	84	28	⊕λ1	⊕λ1	PRON
ejpam-1623	84	29	⊕ω1,φ1	⊕ω1,φ1	PUNCT
ejpam-1623	84	30	⊕ψ1⊕λ1	⊕ψ1⊕λ1	VERB
ejpam-1623	85	1	⊕π1	⊕π1	PROPN
ejpam-1623	85	2	,	,	PUNCT
ejpam-1623	85	3	ψ1⊕λ1	ψ1⊕λ1	ADJ
ejpam-1623	85	4	⊕υ1	⊕υ1	NOUN
ejpam-1623	85	5	⊕ω1,ψ1	⊕ω1,ψ1	X
ejpam-1623	85	6	⊕λ1	⊕λ1	X
ejpam-1623	85	7	⊕υ1	⊕υ1	NOUN
ejpam-1623	85	8	⊕π1	⊕π1	NOUN
ejpam-1623	85	9	,	,	PUNCT
ejpam-1623	85	10	and	and	CCONJ
ejpam-1623	85	11	λ1	λ1	PROPN
ejpam-1623	85	12	⊕υ1	⊕υ1	NOUN
ejpam-1623	85	13	⊕ω1⊕π1	⊕ω1⊕π1	NOUN
ejpam-1623	85	14	(	(	PUNCT
ejpam-1623	85	15	1	1	NUM
ejpam-1623	85	16	)	)	PUNCT
ejpam-1623	85	17	(	(	PUNCT
ejpam-1623	85	18	where	where	SCONJ
ejpam-1623	85	19	i	i	PRON
ejpam-1623	85	20	,	,	PUNCT
ejpam-1623	85	21	j	j	PROPN
ejpam-1623	85	22	,	,	PUNCT
ejpam-1623	85	23	l	l	PROPN
ejpam-1623	85	24	,	,	PUNCT
ejpam-1623	85	25	m	m	VERB
ejpam-1623	85	26	≥	≥	NOUN
ejpam-1623	85	27	1	1	NUM
ejpam-1623	85	28	and	and	CCONJ
ejpam-1623	85	29	in	in	ADP
ejpam-1623	85	30	any	any	DET
ejpam-1623	85	31	direct	direct	ADJ
ejpam-1623	85	32	sum	sum	NOUN
ejpam-1623	85	33	the	the	DET
ejpam-1623	85	34	sum	sum	NOUN
ejpam-1623	85	35	of	of	ADP
ejpam-1623	85	36	the	the	DET
ejpam-1623	85	37	indices	index	NOUN
ejpam-1623	85	38	is	be	AUX
ejpam-1623	85	39	4	4	NUM
ejpam-1623	85	40	)	)	PUNCT
ejpam-1623	85	41	.	.	PUNCT
ejpam-1623	86	1	in	in	ADP
ejpam-1623	86	2	these	these	DET
ejpam-1623	86	3	direct	direct	ADJ
ejpam-1623	86	4	sums	sum	NOUN
ejpam-1623	86	5	one	one	PRON
ejpam-1623	86	6	can	can	AUX
ejpam-1623	86	7	replace	replace	VERB
ejpam-1623	86	8	the	the	DET
ejpam-1623	86	9	quadratic	quadratic	ADJ
ejpam-1623	86	10	forms	form	NOUN
ejpam-1623	86	11	φ1	φ1	NOUN
ejpam-1623	86	12	,	,	PUNCT
ejpam-1623	86	13	ψ1	ψ1	NOUN
ejpam-1623	86	14	,	,	PUNCT
ejpam-1623	86	15	λ1	λ1	ADJ
ejpam-1623	86	16	,	,	PUNCT
ejpam-1623	86	17	υ1	υ1	PROPN
ejpam-1623	86	18	,	,	PUNCT
ejpam-1623	86	19	ω1	ω1	PROPN
ejpam-1623	86	20	,	,	PUNCT
ejpam-1623	86	21	and	and	CCONJ
ejpam-1623	86	22	π1	π1	NOUN
ejpam-1623	86	23	by	by	ADP
ejpam-1623	86	24	their	their	PRON
ejpam-1623	86	25	inverses	inverse	NOUN
ejpam-1623	86	26	.	.	PUNCT
ejpam-1623	87	1	2	2	X
ejpam-1623	87	2	.	.	X
ejpam-1623	87	3	the	the	DET
ejpam-1623	87	4	positive	positive	ADJ
ejpam-1623	87	5	definite	definite	ADJ
ejpam-1623	87	6	quadratic	quadratic	ADJ
ejpam-1623	87	7	forms	form	NOUN
ejpam-1623	87	8	in	in	ADP
ejpam-1623	87	9	this	this	DET
ejpam-1623	87	10	section	section	NOUN
ejpam-1623	87	11	we	we	PRON
ejpam-1623	87	12	give	give	VERB
ejpam-1623	87	13	some	some	DET
ejpam-1623	87	14	definitions	definition	NOUN
ejpam-1623	87	15	,	,	PUNCT
ejpam-1623	87	16	an	an	DET
ejpam-1623	87	17	important	important	ADJ
ejpam-1623	87	18	theorem	theorem	NOUN
ejpam-1623	87	19	and	and	CCONJ
ejpam-1623	87	20	evaluation	evaluation	NOUN
ejpam-1623	87	21	of	of	ADP
ejpam-1623	87	22	the	the	DET
ejpam-1623	87	23	quadratic	quadratic	ADJ
ejpam-1623	87	24	forms	form	NOUN
ejpam-1623	87	25	.	.	PUNCT
ejpam-1623	88	1	definition	definition	NOUN
ejpam-1623	88	2	1	1	NUM
ejpam-1623	88	3	.	.	PUNCT
ejpam-1623	89	1	let	let	VERB
ejpam-1623	89	2	q	q	NOUN
ejpam-1623	89	3	:	:	PUNCT
ejpam-1623	89	4	z2k→	z2k→	NUM
ejpam-1623	89	5	z	z	AUX
ejpam-1623	89	6	be	be	AUX
ejpam-1623	89	7	a	a	DET
ejpam-1623	89	8	positive	positive	ADJ
ejpam-1623	89	9	definite	definite	ADJ
ejpam-1623	89	10	integer	integer	NOUN
ejpam-1623	89	11	-	-	PUNCT
ejpam-1623	89	12	valued	value	VERB
ejpam-1623	89	13	form	form	NOUN
ejpam-1623	89	14	of	of	ADP
ejpam-1623	89	15	2k	2k	PROPN
ejpam-1623	89	16	variables	variable	NOUN
ejpam-1623	89	17	,	,	PUNCT
ejpam-1623	89	18	q	q	NOUN
ejpam-1623	89	19	=	=	PUNCT
ejpam-1623	89	20	2k	2k	NUM
ejpam-1623	89	21	∑	∑	PUNCT
ejpam-1623	89	22	1≤i≤	1≤i≤	PROPN
ejpam-1623	89	23	j≤2k	j≤2k	PROPN
ejpam-1623	90	1	bi	bi	ADJ
ejpam-1623	90	2	j	j	PROPN
ejpam-1623	90	3	x	x	VERB
ejpam-1623	91	1	i	i	NOUN
ejpam-1623	91	2	x	x	SYM
ejpam-1623	91	3	j	j	PROPN
ejpam-1623	91	4	,	,	PUNCT
ejpam-1623	91	5	bi	bi	PROPN
ejpam-1623	91	6	j	j	PROPN
ejpam-1623	91	7	∈	∈	PROPN
ejpam-1623	91	8	z	z	PROPN
ejpam-1623	91	9	and	and	CCONJ
ejpam-1623	91	10	the	the	DET
ejpam-1623	91	11	matrix	matrix	NOUN
ejpam-1623	91	12	a	a	PRON
ejpam-1623	91	13	is	be	AUX
ejpam-1623	91	14	defined	define	VERB
ejpam-1623	91	15	by	by	ADP
ejpam-1623	91	16	aii	aii	NOUN
ejpam-1623	91	17	=	=	SYM
ejpam-1623	91	18	2bii	2bii	PROPN
ejpam-1623	91	19	,	,	PUNCT
ejpam-1623	91	20	a	a	DET
ejpam-1623	91	21	ji	ji	NOUN
ejpam-1623	91	22	=	=	NOUN
ejpam-1623	91	23	ai	ai	VERB
ejpam-1623	91	24	j	j	PROPN
ejpam-1623	91	25	=	=	PUNCT
ejpam-1623	91	26	bi	bi	PROPN
ejpam-1623	91	27	j	j	PROPN
ejpam-1623	91	28	for	for	ADP
ejpam-1623	91	29	i	i	PRON
ejpam-1623	91	30	<	<	X
ejpam-1623	91	31	j.	j.	PROPN
ejpam-1623	91	32	let	let	VERB
ejpam-1623	91	33	d	d	PRON
ejpam-1623	91	34	be	be	AUX
ejpam-1623	91	35	the	the	DET
ejpam-1623	91	36	discriminant	discriminant	NOUN
ejpam-1623	91	37	of	of	ADP
ejpam-1623	91	38	the	the	DET
ejpam-1623	91	39	quadratic	quadratic	ADJ
ejpam-1623	91	40	form	form	NOUN
ejpam-1623	91	41	2q	2q	NUM
ejpam-1623	91	42	=	=	SYM
ejpam-1623	91	43	2k	2k	NUM
ejpam-1623	91	44	∑	∑	PUNCT
ejpam-1623	91	45	i	i	PROPN
ejpam-1623	91	46	,	,	PUNCT
ejpam-1623	91	47	j=1	j=1	PROPN
ejpam-1623	91	48	ai	ai	VERB
ejpam-1623	91	49	j	j	PROPN
ejpam-1623	91	50	x	x	VERB
ejpam-1623	92	1	i	i	NOUN
ejpam-1623	92	2	x	x	PROPN
ejpam-1623	92	3	j	j	PROPN
ejpam-1623	92	4	i.e.	i.e.	X
ejpam-1623	92	5	,	,	PUNCT
ejpam-1623	92	6	the	the	DET
ejpam-1623	92	7	determinant	determinant	NOUN
ejpam-1623	92	8	of	of	ADP
ejpam-1623	92	9	the	the	DET
ejpam-1623	92	10	matrix	matrix	NOUN
ejpam-1623	92	11	a.	a.	NOUN
ejpam-1623	92	12	let	let	VERB
ejpam-1623	92	13	ai	ai	AUX
ejpam-1623	92	14	j	j	PROPN
ejpam-1623	92	15	be	be	AUX
ejpam-1623	92	16	the	the	DET
ejpam-1623	92	17	cofactors	cofactor	NOUN
ejpam-1623	92	18	of	of	ADP
ejpam-1623	92	19	ai	ai	VERB
ejpam-1623	92	20	j	j	PROPN
ejpam-1623	92	21	for	for	ADP
ejpam-1623	92	22	1	1	NUM
ejpam-1623	92	23	≤	≤	NUM
ejpam-1623	93	1	i	i	PRON
ejpam-1623	93	2	≤	≤	NUM
ejpam-1623	93	3	j	j	PROPN
ejpam-1623	93	4	≤	≤	ADJ
ejpam-1623	93	5	2k	2k	NUM
ejpam-1623	93	6	.	.	PUNCT
ejpam-1623	94	1	if	if	SCONJ
ejpam-1623	94	2	δ	δ	PROPN
ejpam-1623	94	3	=	=	PUNCT
ejpam-1623	94	4	gcd(aii	gcd(aii	X
ejpam-1623	94	5	2	2	NUM
ejpam-1623	94	6	,	,	PUNCT
ejpam-1623	94	7	ai	ai	VERB
ejpam-1623	94	8	j	j	PROPN
ejpam-1623	94	9	,	,	PUNCT
ejpam-1623	94	10	for	for	ADP
ejpam-1623	94	11	1≤	1≤	NUM
ejpam-1623	95	1	i	i	NOUN
ejpam-1623	95	2	≤	≤	PROPN
ejpam-1623	95	3	j	j	PROPN
ejpam-1623	95	4	≤	≤	PROPN
ejpam-1623	95	5	2k	2k	NUM
ejpam-1623	95	6	)	)	PUNCT
ejpam-1623	95	7	,	,	PUNCT
ejpam-1623	95	8	then	then	ADV
ejpam-1623	95	9	n	n	CCONJ
ejpam-1623	95	10	:	:	PUNCT
ejpam-1623	95	11	=	=	SYM
ejpam-1623	95	12	d	d	X
ejpam-1623	95	13	δ	δ	PROPN
ejpam-1623	95	14	is	be	AUX
ejpam-1623	95	15	the	the	DET
ejpam-1623	95	16	smallest	small	ADJ
ejpam-1623	95	17	positive	positive	ADJ
ejpam-1623	95	18	integer	integer	NOUN
ejpam-1623	95	19	,	,	PUNCT
ejpam-1623	95	20	called	call	VERB
ejpam-1623	95	21	the	the	DET
ejpam-1623	95	22	level	level	NOUN
ejpam-1623	95	23	of	of	ADP
ejpam-1623	95	24	q	q	NOUN
ejpam-1623	95	25	,	,	PUNCT
ejpam-1623	95	26	for	for	ADP
ejpam-1623	95	27	which	which	PRON
ejpam-1623	95	28	na−1	na−1	PROPN
ejpam-1623	95	29	is	be	AUX
ejpam-1623	95	30	again	again	ADV
ejpam-1623	95	31	an	an	DET
ejpam-1623	95	32	even	even	ADV
ejpam-1623	95	33	integral	integral	ADJ
ejpam-1623	95	34	matrix	matrix	NOUN
ejpam-1623	95	35	like	like	ADP
ejpam-1623	95	36	a.	a.	NOUN
ejpam-1623	95	37	∆=	∆=	NOUN
ejpam-1623	95	38	(	(	PUNCT
ejpam-1623	95	39	−1)kd	−1)kd	PROPN
ejpam-1623	95	40	is	be	AUX
ejpam-1623	95	41	called	call	VERB
ejpam-1623	95	42	the	the	DET
ejpam-1623	95	43	discriminant	discriminant	NOUN
ejpam-1623	95	44	of	of	ADP
ejpam-1623	95	45	the	the	DET
ejpam-1623	95	46	form	form	NOUN
ejpam-1623	95	47	q.	q.	PROPN
ejpam-1623	95	48	theorem	theorem	VERB
ejpam-1623	95	49	1	1	X
ejpam-1623	95	50	.	.	PUNCT
ejpam-1623	96	1	let	let	VERB
ejpam-1623	96	2	q	q	NOUN
ejpam-1623	96	3	:	:	PUNCT
ejpam-1623	96	4	z2k	z2k	NOUN
ejpam-1623	96	5	→	→	SYM
ejpam-1623	96	6	z	z	X
ejpam-1623	96	7	be	be	AUX
ejpam-1623	96	8	positive	positive	ADJ
ejpam-1623	96	9	definite	definite	ADJ
ejpam-1623	96	10	integer	integer	NOUN
ejpam-1623	96	11	-	-	PUNCT
ejpam-1623	96	12	valued	value	VERB
ejpam-1623	96	13	form	form	NOUN
ejpam-1623	96	14	of	of	ADP
ejpam-1623	96	15	2k	2k	NOUN
ejpam-1623	96	16	variables	variable	NOUN
ejpam-1623	96	17	of	of	ADP
ejpam-1623	96	18	level	level	NOUN
ejpam-1623	96	19	n	n	NOUN
ejpam-1623	96	20	and	and	CCONJ
ejpam-1623	96	21	discriminant	discriminant	NOUN
ejpam-1623	96	22	∆.	∆.	X
ejpam-1623	96	23	then	then	ADV
ejpam-1623	96	24	b.	b.	PROPN
ejpam-1623	96	25	köklüce	köklüce	PROPN
ejpam-1623	96	26	/	/	SYM
ejpam-1623	96	27	eur	eur	PROPN
ejpam-1623	96	28	.	.	PUNCT
ejpam-1623	97	1	j.	j.	PROPN
ejpam-1623	97	2	pure	pure	PROPN
ejpam-1623	97	3	appl	appl	PROPN
ejpam-1623	97	4	.	.	PROPN
ejpam-1623	97	5	math	math	PROPN
ejpam-1623	97	6	,	,	PUNCT
ejpam-1623	97	7	5	5	NUM
ejpam-1623	97	8	(	(	PUNCT
ejpam-1623	97	9	2012	2012	NUM
ejpam-1623	97	10	)	)	PUNCT
ejpam-1623	97	11	,	,	PUNCT
ejpam-1623	97	12	451	451	NUM
ejpam-1623	97	13	-	-	SYM
ejpam-1623	97	14	468	468	NUM
ejpam-1623	97	15	454	454	NUM
ejpam-1623	97	16	1	1	NUM
ejpam-1623	97	17	the	the	DET
ejpam-1623	97	18	theta	theta	NOUN
ejpam-1623	97	19	function	function	NOUN
ejpam-1623	97	20	θq(q	θq(q	NOUN
ejpam-1623	97	21	)	)	PUNCT
ejpam-1623	97	22	=	=	PUNCT
ejpam-1623	97	23	∑	∑	PUNCT
ejpam-1623	97	24	(	(	PUNCT
ejpam-1623	97	25	n	n	NOUN
ejpam-1623	97	26	1	1	NUM
ejpam-1623	97	27	,	,	PUNCT
ejpam-1623	97	28	n	n	PRON
ejpam-1623	97	29	2	2	NUM
ejpam-1623	97	30	,	,	PUNCT
ejpam-1623	97	31	...	...	PUNCT
ejpam-1623	97	32	,	,	PUNCT
ejpam-1623	97	33	nk)∈z×z×	nk)∈z×z×	ADJ
ejpam-1623	97	34	...	...	PUNCT
ejpam-1623	97	35	×z	×z	ADV
ejpam-1623	97	36	qq(n1	qq(n1	NOUN
ejpam-1623	97	37	,	,	PUNCT
ejpam-1623	97	38	n2,	n2,	ADV
ejpam-1623	97	39	...	...	NOUN
ejpam-1623	97	40	,nk	,nk	PUNCT
ejpam-1623	97	41	)	)	PUNCT
ejpam-1623	97	42	=	=	PUNCT
ejpam-1623	98	1	1	1	NUM
ejpam-1623	98	2	+	+	NUM
ejpam-1623	98	3	∞	∞	NUM
ejpam-1623	98	4	∑	∑	PROPN
ejpam-1623	98	5	n=1	n=1	PROPN
ejpam-1623	98	6	r(n;q)qn	r(n;q)qn	NOUN
ejpam-1623	98	7	,	,	PUNCT
ejpam-1623	98	8	q	q	NOUN
ejpam-1623	98	9	=	=	PUNCT
ejpam-1623	98	10	e2πiz	e2πiz	NOUN
ejpam-1623	98	11	is	be	AUX
ejpam-1623	98	12	a	a	DET
ejpam-1623	98	13	modular	modular	ADJ
ejpam-1623	98	14	form	form	NOUN
ejpam-1623	98	15	on	on	ADP
ejpam-1623	98	16	γ0(n	γ0(n	PROPN
ejpam-1623	98	17	)	)	PUNCT
ejpam-1623	98	18	of	of	ADP
ejpam-1623	98	19	weight	weight	NOUN
ejpam-1623	98	20	k	k	PROPN
ejpam-1623	98	21	and	and	CCONJ
ejpam-1623	98	22	character	character	NOUN
ejpam-1623	98	23	χd	χd	PROPN
ejpam-1623	98	24	,	,	PUNCT
ejpam-1623	98	25	i.e.	i.e.	X
ejpam-1623	98	26	,	,	PUNCT
ejpam-1623	98	27	θq	θq	DET
ejpam-1623	98	28	∈	∈	PROPN
ejpam-1623	98	29	mk(γ0(n),χd	mk(γ0(n),χd	PROPN
ejpam-1623	98	30	)	)	PUNCT
ejpam-1623	98	31	,	,	PUNCT
ejpam-1623	98	32	where	where	SCONJ
ejpam-1623	98	33	χ∆(d	χ∆(d	VERB
ejpam-1623	98	34	)	)	PUNCT
ejpam-1623	98	35	:	:	PUNCT
ejpam-1623	98	36	=	=	PUNCT
ejpam-1623	98	37	�	�	PROPN
ejpam-1623	98	38	∆	∆	PROPN
ejpam-1623	98	39	d	d	X
ejpam-1623	98	40	�	�	PROPN
ejpam-1623	98	41	,	,	PUNCT
ejpam-1623	98	42	d	d	PROPN
ejpam-1623	98	43	∈	∈	PROPN
ejpam-1623	98	44	(	(	PUNCT
ejpam-1623	98	45	z	z	NOUN
ejpam-1623	98	46	/	/	SYM
ejpam-1623	98	47	nz)×	nz)×	PROPN
ejpam-1623	98	48	,	,	PUNCT
ejpam-1623	98	49	�	�	PROPN
ejpam-1623	98	50	∆	∆	PROPN
ejpam-1623	99	1	d	d	X
ejpam-1623	99	2	�	�	PROPN
ejpam-1623	99	3	is	be	AUX
ejpam-1623	99	4	the	the	DET
ejpam-1623	99	5	kronecker	kronecker	NOUN
ejpam-1623	99	6	character	character	NOUN
ejpam-1623	99	7	.	.	PUNCT
ejpam-1623	100	1	2	2	NUM
ejpam-1623	101	1	the	the	DET
ejpam-1623	101	2	homogeneous	homogeneous	ADJ
ejpam-1623	101	3	quadratic	quadratic	ADJ
ejpam-1623	101	4	polynomials	polynomial	NOUN
ejpam-1623	101	5	in	in	ADP
ejpam-1623	101	6	2k	2k	NOUN
ejpam-1623	101	7	variables	variable	NOUN
ejpam-1623	101	8	ϕi	ϕi	ADP
ejpam-1623	101	9	j	j	PROPN
ejpam-1623	101	10	=	=	PUNCT
ejpam-1623	101	11	x	x	PUNCT
ejpam-1623	101	12	i	i	NOUN
ejpam-1623	101	13	x	x	PROPN
ejpam-1623	101	14	j	j	NOUN
ejpam-1623	101	15	−	−	NUM
ejpam-1623	101	16	1	1	NUM
ejpam-1623	101	17	2k	2k	NUM
ejpam-1623	101	18	ai	ai	VERB
ejpam-1623	101	19	j	j	PROPN
ejpam-1623	101	20	d	d	PROPN
ejpam-1623	101	21	2q	2q	NUM
ejpam-1623	101	22	,	,	PUNCT
ejpam-1623	101	23	1≤	1≤	NUM
ejpam-1623	102	1	i	i	ADV
ejpam-1623	102	2	≤	≤	X
ejpam-1623	102	3	j	j	PROPN
ejpam-1623	102	4	≤	≤	PROPN
ejpam-1623	102	5	2k	2k	NOUN
ejpam-1623	102	6	(	(	PUNCT
ejpam-1623	102	7	2	2	NUM
ejpam-1623	102	8	)	)	PUNCT
ejpam-1623	102	9	are	be	AUX
ejpam-1623	102	10	spherical	spherical	ADJ
ejpam-1623	102	11	functions	function	NOUN
ejpam-1623	102	12	of	of	ADP
ejpam-1623	102	13	second	second	ADJ
ejpam-1623	102	14	order	order	NOUN
ejpam-1623	102	15	with	with	ADP
ejpam-1623	102	16	respect	respect	NOUN
ejpam-1623	102	17	to	to	ADP
ejpam-1623	102	18	q.	q.	PROPN
ejpam-1623	102	19	3	3	NUM
ejpam-1623	102	20	the	the	DET
ejpam-1623	102	21	theta	theta	PROPN
ejpam-1623	102	22	series	series	PROPN
ejpam-1623	102	23	θq,ϕi	θq,ϕi	VERB
ejpam-1623	102	24	j	j	PROPN
ejpam-1623	102	25	(	(	PUNCT
ejpam-1623	102	26	q	q	X
ejpam-1623	102	27	)	)	PUNCT
ejpam-1623	103	1	=	=	SYM
ejpam-1623	103	2	∞	∞	NUM
ejpam-1623	103	3	∑	∑	PUNCT
ejpam-1623	103	4	n=1	n=1	PROPN
ejpam-1623	103	5	∑	∑	ADP
ejpam-1623	103	6	q	q	X
ejpam-1623	103	7	=	=	PRON
ejpam-1623	103	8	n	n	PROPN
ejpam-1623	103	9	ϕi	ϕi	ADP
ejpam-1623	103	10	j	j	PROPN
ejpam-1623	103	11	!	!	PUNCT
ejpam-1623	104	1	qn	qn	INTJ
ejpam-1623	104	2	(	(	PUNCT
ejpam-1623	104	3	3	3	NUM
ejpam-1623	104	4	)	)	PUNCT
ejpam-1623	104	5	is	be	AUX
ejpam-1623	104	6	a	a	DET
ejpam-1623	104	7	cusp	cusp	NOUN
ejpam-1623	104	8	form	form	NOUN
ejpam-1623	104	9	in	in	ADP
ejpam-1623	104	10	sk+2(γ0(n),χd	sk+2(γ0(n),χd	PROPN
ejpam-1623	104	11	)	)	PUNCT
ejpam-1623	104	12	.	.	PUNCT
ejpam-1623	105	1	4	4	NUM
ejpam-1623	106	1	if	if	SCONJ
ejpam-1623	106	2	two	two	NUM
ejpam-1623	106	3	quadratic	quadratic	ADJ
ejpam-1623	106	4	forms	form	NOUN
ejpam-1623	106	5	q1,q2	q1,q2	PROPN
ejpam-1623	106	6	have	have	VERB
ejpam-1623	106	7	the	the	DET
ejpam-1623	106	8	same	same	ADJ
ejpam-1623	106	9	level	level	NOUN
ejpam-1623	106	10	n	n	NOUN
ejpam-1623	106	11	and	and	CCONJ
ejpam-1623	106	12	the	the	DET
ejpam-1623	106	13	characteristic	characteristic	NOUN
ejpam-1623	106	14	are	be	AUX
ejpam-1623	106	15	χ1(d	χ1(d	NOUN
ejpam-1623	106	16	)	)	PUNCT
ejpam-1623	106	17	,	,	PUNCT
ejpam-1623	106	18	χ2(d	χ2(d	NUM
ejpam-1623	106	19	)	)	PUNCT
ejpam-1623	106	20	respectively	respectively	ADV
ejpam-1623	106	21	,	,	PUNCT
ejpam-1623	106	22	then	then	ADV
ejpam-1623	106	23	the	the	DET
ejpam-1623	106	24	direct	direct	ADJ
ejpam-1623	106	25	sum	sum	NOUN
ejpam-1623	106	26	q1	q1	PROPN
ejpam-1623	106	27	⊕q2	⊕q2	PROPN
ejpam-1623	106	28	of	of	ADP
ejpam-1623	106	29	the	the	DET
ejpam-1623	106	30	quadratic	quadratic	ADJ
ejpam-1623	106	31	forms	form	NOUN
ejpam-1623	106	32	has	have	VERB
ejpam-1623	106	33	the	the	DET
ejpam-1623	106	34	same	same	ADJ
ejpam-1623	106	35	level	level	NOUN
ejpam-1623	106	36	n	n	NOUN
ejpam-1623	106	37	and	and	CCONJ
ejpam-1623	106	38	the	the	DET
ejpam-1623	106	39	character	character	NOUN
ejpam-1623	106	40	χ1(d	χ1(d	NOUN
ejpam-1623	106	41	)	)	PUNCT
ejpam-1623	106	42	,	,	PUNCT
ejpam-1623	106	43	χ2(d	χ2(d	NOUN
ejpam-1623	106	44	)	)	PUNCT
ejpam-1623	106	45	.	.	PUNCT
ejpam-1623	107	1	proof	proof	NOUN
ejpam-1623	107	2	.	.	PUNCT
ejpam-1623	108	1	see	see	VERB
ejpam-1623	108	2	[	[	X
ejpam-1623	108	3	7	7	NUM
ejpam-1623	108	4	]	]	PUNCT
ejpam-1623	108	5	.	.	PUNCT
ejpam-1623	109	1	now	now	ADV
ejpam-1623	109	2	let	let	VERB
ejpam-1623	109	3	’s	’s	NOUN
ejpam-1623	109	4	look	look	VERB
ejpam-1623	109	5	at	at	ADP
ejpam-1623	109	6	the	the	DET
ejpam-1623	109	7	positive	positive	ADJ
ejpam-1623	109	8	definite	definite	ADJ
ejpam-1623	109	9	quadratic	quadratic	ADJ
ejpam-1623	109	10	forms	form	NOUN
ejpam-1623	109	11	of	of	ADP
ejpam-1623	109	12	discriminant	discriminant	ADJ
ejpam-1623	109	13	−191	−191	PROPN
ejpam-1623	109	14	.	.	PUNCT
ejpam-1623	110	1	for	for	ADP
ejpam-1623	110	2	the	the	DET
ejpam-1623	110	3	quadratic	quadratic	ADJ
ejpam-1623	110	4	form	form	NOUN
ejpam-1623	110	5	f1	f1	NOUN
ejpam-1623	110	6	=	=	SYM
ejpam-1623	110	7	x2	x2	NOUN
ejpam-1623	110	8	1	1	NUM
ejpam-1623	110	9	+	+	NUM
ejpam-1623	110	10	x1	x1	NUM
ejpam-1623	110	11	x2	x2	PROPN
ejpam-1623	110	12	+	+	CCONJ
ejpam-1623	110	13	48x2	48x2	NUM
ejpam-1623	110	14	2	2	NUM
ejpam-1623	110	15	,	,	PUNCT
ejpam-1623	110	16	2f1	2f1	NUM
ejpam-1623	110	17	=	=	SYM
ejpam-1623	110	18	2x2	2x2	NUM
ejpam-1623	110	19	1	1	NUM
ejpam-1623	110	20	+	+	NUM
ejpam-1623	110	21	2x1x2	2x1x2	NUM
ejpam-1623	110	22	+	+	CCONJ
ejpam-1623	110	23	96x2	96x2	NUM
ejpam-1623	110	24	2	2	NUM
ejpam-1623	110	25	=	=	SYM
ejpam-1623	110	26	�	�	PROPN
ejpam-1623	110	27	x1	x1	PROPN
ejpam-1623	110	28	,	,	PUNCT
ejpam-1623	110	29	x2	x2	PROPN
ejpam-1623	110	30	�	�	PROPN
ejpam-1623	110	31	�	�	PROPN
ejpam-1623	110	32	2	2	NUM
ejpam-1623	110	33	1	1	NUM
ejpam-1623	110	34	1	1	NUM
ejpam-1623	110	35	96	96	NUM
ejpam-1623	110	36	�	�	PROPN
ejpam-1623	110	37	�	�	PROPN
ejpam-1623	110	38	x1	x1	PROPN
ejpam-1623	110	39	x2	x2	PROPN
ejpam-1623	110	40	�	�	PROPN
ejpam-1623	110	41	the	the	DET
ejpam-1623	110	42	determinant	determinant	ADJ
ejpam-1623	110	43	d	d	NOUN
ejpam-1623	110	44	=	=	SYM
ejpam-1623	110	45	191,a22	191,a22	NUM
ejpam-1623	110	46	=	=	SYM
ejpam-1623	110	47	2	2	NUM
ejpam-1623	110	48	,	,	PUNCT
ejpam-1623	110	49	so	so	ADV
ejpam-1623	110	50	δ	δ	NOUN
ejpam-1623	110	51	=	=	SYM
ejpam-1623	110	52	1	1	NUM
ejpam-1623	110	53	,	,	PUNCT
ejpam-1623	110	54	n	n	NOUN
ejpam-1623	110	55	=	=	SYM
ejpam-1623	110	56	d	d	NOUN
ejpam-1623	110	57	=	=	SYM
ejpam-1623	110	58	191	191	NUM
ejpam-1623	110	59	and	and	CCONJ
ejpam-1623	110	60	the	the	DET
ejpam-1623	110	61	discriminant	discriminant	NOUN
ejpam-1623	110	62	is	be	AUX
ejpam-1623	110	63	∆	∆	PROPN
ejpam-1623	110	64	=	=	SYM
ejpam-1623	110	65	(	(	PUNCT
ejpam-1623	110	66	−1)2/2191	−1)2/2191	X
ejpam-1623	110	67	=	=	SYM
ejpam-1623	110	68	−191	−191	PROPN
ejpam-1623	110	69	.	.	PUNCT
ejpam-1623	111	1	similarly	similarly	ADV
ejpam-1623	111	2	,	,	PUNCT
ejpam-1623	111	3	it	it	PRON
ejpam-1623	111	4	can	can	AUX
ejpam-1623	111	5	be	be	AUX
ejpam-1623	111	6	easily	easily	ADV
ejpam-1623	111	7	seen	see	VERB
ejpam-1623	111	8	that	that	SCONJ
ejpam-1623	111	9	for	for	ADP
ejpam-1623	111	10	any	any	PRON
ejpam-1623	111	11	of	of	ADP
ejpam-1623	111	12	the	the	DET
ejpam-1623	111	13	quadratic	quadratic	ADJ
ejpam-1623	111	14	forms	form	NOUN
ejpam-1623	111	15	φ1	φ1	NOUN
ejpam-1623	111	16	,	,	PUNCT
ejpam-1623	111	17	ψ1	ψ1	NOUN
ejpam-1623	111	18	,	,	PUNCT
ejpam-1623	111	19	λ1	λ1	ADJ
ejpam-1623	111	20	,	,	PUNCT
ejpam-1623	111	21	υ1	υ1	PROPN
ejpam-1623	111	22	,	,	PUNCT
ejpam-1623	111	23	ω1	ω1	NOUN
ejpam-1623	111	24	and	and	CCONJ
ejpam-1623	111	25	π1	π1	ADJ
ejpam-1623	111	26	the	the	DET
ejpam-1623	111	27	determinant	determinant	ADJ
ejpam-1623	111	28	,	,	PUNCT
ejpam-1623	111	29	the	the	DET
ejpam-1623	111	30	discriminant	discriminant	NOUN
ejpam-1623	111	31	and	and	CCONJ
ejpam-1623	111	32	the	the	DET
ejpam-1623	111	33	character	character	NOUN
ejpam-1623	111	34	respectively	respectively	ADV
ejpam-1623	111	35	are	be	AUX
ejpam-1623	111	36	d	d	NOUN
ejpam-1623	111	37	=	=	SYM
ejpam-1623	111	38	191,∆=	191,∆=	NUM
ejpam-1623	111	39	−191,χ(d	−191,χ(d	NOUN
ejpam-1623	111	40	)	)	PUNCT
ejpam-1623	112	1	=	=	PUNCT
ejpam-1623	112	2	�	�	PROPN
ejpam-1623	112	3	−191	−191	PROPN
ejpam-1623	112	4	d	d	X
ejpam-1623	112	5	�	�	PROPN
ejpam-1623	112	6	.	.	PUNCT
ejpam-1623	113	1	consequently	consequently	ADV
ejpam-1623	113	2	f1	f1	NOUN
ejpam-1623	113	3	,	,	PUNCT
ejpam-1623	113	4	φ1	φ1	PROPN
ejpam-1623	113	5	,	,	PUNCT
ejpam-1623	113	6	ψ1	ψ1	NOUN
ejpam-1623	113	7	,	,	PUNCT
ejpam-1623	113	8	λ1	λ1	ADJ
ejpam-1623	113	9	,	,	PUNCT
ejpam-1623	113	10	υ1	υ1	PROPN
ejpam-1623	113	11	,	,	PUNCT
ejpam-1623	113	12	ω1	ω1	NOUN
ejpam-1623	113	13	and	and	CCONJ
ejpam-1623	113	14	π1	π1	NOUN
ejpam-1623	113	15	are	be	AUX
ejpam-1623	113	16	quadratic	quadratic	ADJ
ejpam-1623	113	17	forms	form	NOUN
ejpam-1623	113	18	whose	whose	DET
ejpam-1623	113	19	theta	theta	NOUN
ejpam-1623	113	20	series	serie	NOUN
ejpam-1623	113	21	are	be	AUX
ejpam-1623	113	22	in	in	ADP
ejpam-1623	113	23	m1(γ0(191	m1(γ0(191	PROPN
ejpam-1623	113	24	)	)	PUNCT
ejpam-1623	113	25	,	,	PUNCT
ejpam-1623	113	26	�	�	PROPN
ejpam-1623	113	27	−191	−191	PROPN
ejpam-1623	113	28	d	d	X
ejpam-1623	113	29	�	�	PROPN
ejpam-1623	113	30	)	)	PUNCT
ejpam-1623	113	31	.	.	PUNCT
ejpam-1623	114	1	hence	hence	ADV
ejpam-1623	114	2	by	by	ADP
ejpam-1623	114	3	theorem	theorem	NOUN
ejpam-1623	114	4	1	1	NUM
ejpam-1623	114	5	f2	f2	PROPN
ejpam-1623	114	6	,	,	PUNCT
ejpam-1623	114	7	φ2	φ2	PROPN
ejpam-1623	114	8	,	,	PUNCT
ejpam-1623	114	9	ψ2	ψ2	NOUN
ejpam-1623	114	10	,	,	PUNCT
ejpam-1623	114	11	λ2	λ2	NOUN
ejpam-1623	114	12	,	,	PUNCT
ejpam-1623	114	13	υ2	υ2	NOUN
ejpam-1623	114	14	,	,	PUNCT
ejpam-1623	114	15	ω2	ω2	ADJ
ejpam-1623	114	16	,	,	PUNCT
ejpam-1623	114	17	π2	π2	PROPN
ejpam-1623	114	18	,	,	PUNCT
ejpam-1623	114	19	f1	f1	PROPN
ejpam-1623	114	20	⊕	⊕	PROPN
ejpam-1623	114	21	φ1	φ1	PROPN
ejpam-1623	114	22	,	,	PUNCT
ejpam-1623	114	23	f1	f1	PROPN
ejpam-1623	114	24	⊕	⊕	PROPN
ejpam-1623	114	25	ψ1	ψ1	NOUN
ejpam-1623	114	26	,	,	PUNCT
ejpam-1623	114	27	f1	f1	PROPN
ejpam-1623	114	28	⊕	⊕	PROPN
ejpam-1623	114	29	λ1	λ1	PROPN
ejpam-1623	114	30	,	,	PUNCT
ejpam-1623	114	31	f1	f1	PROPN
ejpam-1623	114	32	⊕	⊕	PROPN
ejpam-1623	114	33	υ1	υ1	PROPN
ejpam-1623	114	34	,	,	PUNCT
ejpam-1623	114	35	f1	f1	NOUN
ejpam-1623	114	36	⊕ω1	⊕ω1	NOUN
ejpam-1623	114	37	,	,	PUNCT
ejpam-1623	114	38	f1	f1	NOUN
ejpam-1623	114	39	⊕π1	⊕π1	PROPN
ejpam-1623	114	40	,	,	PUNCT
ejpam-1623	114	41	φ1	φ1	PROPN
ejpam-1623	114	42	⊕ψ1	⊕ψ1	PROPN
ejpam-1623	114	43	,	,	PUNCT
ejpam-1623	114	44	φ1	φ1	PROPN
ejpam-1623	114	45	⊕λ1	⊕λ1	PROPN
ejpam-1623	114	46	,	,	PUNCT
ejpam-1623	114	47	φ1	φ1	PROPN
ejpam-1623	114	48	⊕υ1	⊕υ1	NOUN
ejpam-1623	114	49	,	,	PUNCT
ejpam-1623	114	50	φ1	φ1	PROPN
ejpam-1623	114	51	⊕ω1	⊕ω1	PROPN
ejpam-1623	114	52	,	,	PUNCT
ejpam-1623	114	53	φ1	φ1	PROPN
ejpam-1623	114	54	⊕π1	⊕π1	PROPN
ejpam-1623	114	55	,	,	PUNCT
ejpam-1623	114	56	ψ1	ψ1	NOUN
ejpam-1623	114	57	⊕λ1	⊕λ1	ADP
ejpam-1623	114	58	,	,	PUNCT
ejpam-1623	114	59	ψ1	ψ1	ADJ
ejpam-1623	114	60	⊕υ1	⊕υ1	NOUN
ejpam-1623	114	61	,	,	PUNCT
ejpam-1623	114	62	ψ1	ψ1	ADJ
ejpam-1623	114	63	⊕ω1	⊕ω1	NOUN
ejpam-1623	114	64	,	,	PUNCT
ejpam-1623	114	65	b.	b.	PROPN
ejpam-1623	114	66	köklüce	köklüce	PROPN
ejpam-1623	114	67	/	/	SYM
ejpam-1623	114	68	eur	eur	PROPN
ejpam-1623	114	69	.	.	PUNCT
ejpam-1623	115	1	j.	j.	PROPN
ejpam-1623	115	2	pure	pure	PROPN
ejpam-1623	115	3	appl	appl	PROPN
ejpam-1623	115	4	.	.	PROPN
ejpam-1623	115	5	math	math	PROPN
ejpam-1623	115	6	,	,	PUNCT
ejpam-1623	115	7	5	5	NUM
ejpam-1623	115	8	(	(	PUNCT
ejpam-1623	115	9	2012	2012	NUM
ejpam-1623	115	10	)	)	PUNCT
ejpam-1623	115	11	,	,	PUNCT
ejpam-1623	115	12	451	451	NUM
ejpam-1623	115	13	-	-	SYM
ejpam-1623	115	14	468	468	NUM
ejpam-1623	115	15	455	455	NUM
ejpam-1623	115	16	ψ1	ψ1	NOUN
ejpam-1623	115	17	⊕π1	⊕π1	PROPN
ejpam-1623	115	18	,	,	PUNCT
ejpam-1623	115	19	λ1	λ1	PROPN
ejpam-1623	115	20	⊕υ1	⊕υ1	NOUN
ejpam-1623	115	21	,	,	PUNCT
ejpam-1623	115	22	λ1	λ1	PROPN
ejpam-1623	115	23	⊕ω1	⊕ω1	NOUN
ejpam-1623	115	24	,	,	PUNCT
ejpam-1623	115	25	λ1	λ1	PROPN
ejpam-1623	115	26	⊕π1	⊕π1	PROPN
ejpam-1623	115	27	,	,	PUNCT
ejpam-1623	115	28	υ1	υ1	PROPN
ejpam-1623	115	29	⊕ω1	⊕ω1	NOUN
ejpam-1623	115	30	,	,	PUNCT
ejpam-1623	115	31	υ1	υ1	PROPN
ejpam-1623	115	32	⊕π1	⊕π1	PROPN
ejpam-1623	115	33	,	,	PUNCT
ejpam-1623	115	34	ω1	ω1	PROPN
ejpam-1623	115	35	⊕π1	⊕π1	PROPN
ejpam-1623	115	36	are	be	AUX
ejpam-1623	115	37	quadratic	quadratic	ADJ
ejpam-1623	115	38	forms	form	NOUN
ejpam-1623	115	39	whose	whose	DET
ejpam-1623	115	40	theta	theta	NOUN
ejpam-1623	115	41	series	serie	NOUN
ejpam-1623	115	42	are	be	AUX
ejpam-1623	115	43	in	in	ADP
ejpam-1623	115	44	m2(γ0(191	m2(γ0(191	PROPN
ejpam-1623	115	45	)	)	PUNCT
ejpam-1623	115	46	)	)	PUNCT
ejpam-1623	115	47	.	.	PUNCT
ejpam-1623	116	1	theorem	theorem	NOUN
ejpam-1623	116	2	2	2	NUM
ejpam-1623	116	3	.	.	PUNCT
ejpam-1623	117	1	let	let	VERB
ejpam-1623	117	2	q	q	PART
ejpam-1623	117	3	be	be	AUX
ejpam-1623	117	4	a	a	DET
ejpam-1623	117	5	positive	positive	ADJ
ejpam-1623	117	6	definite	definite	ADJ
ejpam-1623	117	7	quadratic	quadratic	ADJ
ejpam-1623	117	8	form	form	NOUN
ejpam-1623	117	9	of	of	ADP
ejpam-1623	117	10	2k	2k	PROPN
ejpam-1623	117	11	variables	variable	NOUN
ejpam-1623	117	12	,	,	PUNCT
ejpam-1623	117	13	k	k	PROPN
ejpam-1623	117	14	=	=	SYM
ejpam-1623	117	15	4,6,8	4,6,8	PROPN
ejpam-1623	117	16	,	,	PUNCT
ejpam-1623	117	17	.	.	PUNCT
ejpam-1623	117	18	.	.	PUNCT
ejpam-1623	118	1	.	.	PUNCT
ejpam-1623	119	1	whose	whose	DET
ejpam-1623	119	2	theta	theta	NOUN
ejpam-1623	119	3	series	serie	NOUN
ejpam-1623	119	4	θq	θq	ADJ
ejpam-1623	119	5	is	be	AUX
ejpam-1623	119	6	in	in	ADP
ejpam-1623	119	7	mk(γ0(p	mk(γ0(p	NOUN
ejpam-1623	119	8	)	)	PUNCT
ejpam-1623	119	9	)	)	PUNCT
ejpam-1623	119	10	,	,	PUNCT
ejpam-1623	119	11	p	p	NOUN
ejpam-1623	119	12	prime	prime	NOUN
ejpam-1623	119	13	,	,	PUNCT
ejpam-1623	119	14	then	then	ADV
ejpam-1623	119	15	the	the	DET
ejpam-1623	119	16	eisenstein	eisenstein	PROPN
ejpam-1623	119	17	part	part	NOUN
ejpam-1623	119	18	of	of	ADP
ejpam-1623	119	19	θq	θq	PROPN
ejpam-1623	119	20	is	be	AUX
ejpam-1623	119	21	e(q	e(q	NOUN
ejpam-1623	119	22	:	:	PUNCT
ejpam-1623	119	23	q	q	X
ejpam-1623	119	24	)	)	PUNCT
ejpam-1623	119	25	=	=	SYM
ejpam-1623	120	1	1	1	NUM
ejpam-1623	120	2	+	+	NUM
ejpam-1623	120	3	∞	∞	NUM
ejpam-1623	120	4	∑	∑	PUNCT
ejpam-1623	120	5	n=1	n=1	PROPN
ejpam-1623	120	6	(	(	PUNCT
ejpam-1623	120	7	ασk−1(n)q	ασk−1(n)q	PROPN
ejpam-1623	120	8	n+βσk−1(n)q	n+βσk−1(n)q	NUM
ejpam-1623	120	9	pn	pn	PROPN
ejpam-1623	120	10	)	)	PUNCT
ejpam-1623	120	11	,	,	PUNCT
ejpam-1623	120	12	where	where	SCONJ
ejpam-1623	120	13	α=	α=	NOUN
ejpam-1623	120	14	ik	ik	PROPN
ejpam-1623	120	15	ρk	ρk	PROPN
ejpam-1623	120	16	pk/2−	pk/2−	PROPN
ejpam-1623	120	17	ik	ik	PROPN
ejpam-1623	120	18	pk	pk	NOUN
ejpam-1623	120	19	−	−	PROPN
ejpam-1623	120	20	1	1	NUM
ejpam-1623	120	21	,	,	PUNCT
ejpam-1623	120	22	β	β	NOUN
ejpam-1623	120	23	=	=	SYM
ejpam-1623	120	24	1	1	NUM
ejpam-1623	120	25	ρk	ρk	ADP
ejpam-1623	120	26	pk	pk	NOUN
ejpam-1623	120	27	−	−	PROPN
ejpam-1623	120	28	ikpk/2	ikpk/2	PROPN
ejpam-1623	120	29	pk	pk	NOUN
ejpam-1623	120	30	−	−	NOUN
ejpam-1623	120	31	1	1	NUM
ejpam-1623	120	32	,	,	PUNCT
ejpam-1623	120	33	ρk	ρk	ADP
ejpam-1623	120	34	=	=	PUNCT
ejpam-1623	120	35	(	(	PUNCT
ejpam-1623	120	36	−1)k/2	−1)k/2	X
ejpam-1623	120	37	(	(	PUNCT
ejpam-1623	120	38	k−	k−	NOUN
ejpam-1623	120	39	1	1	NUM
ejpam-1623	120	40	)	)	PUNCT
ejpam-1623	120	41	!	!	PUNCT
ejpam-1623	121	1	(	(	PUNCT
ejpam-1623	121	2	2π)k	2π)k	NUM
ejpam-1623	121	3	ζ(k	ζ(k	PROPN
ejpam-1623	121	4	)	)	PUNCT
ejpam-1623	121	5	.	.	PUNCT
ejpam-1623	122	1	proof	proof	NOUN
ejpam-1623	122	2	.	.	PUNCT
ejpam-1623	123	1	see	see	VERB
ejpam-1623	123	2	[	[	X
ejpam-1623	123	3	7	7	NUM
ejpam-1623	123	4	]	]	PUNCT
ejpam-1623	123	5	.	.	PUNCT
ejpam-1623	124	1	we	we	PRON
ejpam-1623	124	2	immediately	immediately	ADV
ejpam-1623	124	3	obtain	obtain	VERB
ejpam-1623	124	4	the	the	DET
ejpam-1623	124	5	following	follow	VERB
ejpam-1623	124	6	corollary	corollary	NOUN
ejpam-1623	124	7	.	.	PUNCT
ejpam-1623	125	1	corollary	corollary	ADJ
ejpam-1623	125	2	1	1	NUM
ejpam-1623	125	3	.	.	PUNCT
ejpam-1623	126	1	let	let	VERB
ejpam-1623	126	2	q	q	PART
ejpam-1623	126	3	be	be	AUX
ejpam-1623	126	4	a	a	DET
ejpam-1623	126	5	positive	positive	ADJ
ejpam-1623	126	6	definite	definite	ADJ
ejpam-1623	126	7	quadratic	quadratic	ADJ
ejpam-1623	126	8	form	form	NOUN
ejpam-1623	126	9	of	of	ADP
ejpam-1623	126	10	8	8	NUM
ejpam-1623	126	11	variables	variable	NOUN
ejpam-1623	126	12	whose	whose	DET
ejpam-1623	126	13	theta	theta	NOUN
ejpam-1623	126	14	series	serie	NOUN
ejpam-1623	126	15	θq	θq	ADJ
ejpam-1623	126	16	is	be	AUX
ejpam-1623	126	17	in	in	ADP
ejpam-1623	126	18	m4(γ0(191	m4(γ0(191	PROPN
ejpam-1623	126	19	)	)	PUNCT
ejpam-1623	126	20	)	)	PUNCT
ejpam-1623	127	1	then	then	ADV
ejpam-1623	127	2	the	the	DET
ejpam-1623	127	3	eisenstein	eisenstein	PROPN
ejpam-1623	127	4	part	part	NOUN
ejpam-1623	127	5	of	of	ADP
ejpam-1623	127	6	θq	θq	PROPN
ejpam-1623	127	7	is	be	AUX
ejpam-1623	127	8	e(q	e(q	NOUN
ejpam-1623	127	9	:	:	PUNCT
ejpam-1623	127	10	q	q	X
ejpam-1623	127	11	)	)	PUNCT
ejpam-1623	127	12	=	=	SYM
ejpam-1623	128	1	1	1	NUM
ejpam-1623	128	2	+	+	NUM
ejpam-1623	128	3	∞	∞	NUM
ejpam-1623	128	4	∑	∑	PUNCT
ejpam-1623	128	5	n=1	n=1	PROPN
ejpam-1623	128	6	(	(	PUNCT
ejpam-1623	128	7	ασ3(n)q	ασ3(n)q	PROPN
ejpam-1623	128	8	n+	n+	NUM
ejpam-1623	128	9	βσ3(n)q	βσ3(n)q	PROPN
ejpam-1623	128	10	191n	191n	PROPN
ejpam-1623	128	11	)	)	PUNCT
ejpam-1623	128	12	,	,	PUNCT
ejpam-1623	128	13	where	where	SCONJ
ejpam-1623	128	14	ρ4	ρ4	ADV
ejpam-1623	128	15	=	=	SYM
ejpam-1623	128	16	3	3	X
ejpam-1623	128	17	!	!	PUNCT
ejpam-1623	128	18	(	(	PUNCT
ejpam-1623	128	19	2π)4	2π)4	NUM
ejpam-1623	128	20	ζ(4	ζ(4	NOUN
ejpam-1623	128	21	)	)	PUNCT
ejpam-1623	128	22	=	=	PUNCT
ejpam-1623	129	1	3	3	X
ejpam-1623	129	2	!	!	PUNCT
ejpam-1623	129	3	(	(	PUNCT
ejpam-1623	129	4	2π)4	2π)4	NUM
ejpam-1623	129	5	.	.	PUNCT
ejpam-1623	130	1	π4	π4	NOUN
ejpam-1623	130	2	90	90	NUM
ejpam-1623	130	3	=	=	SYM
ejpam-1623	130	4	1	1	NUM
ejpam-1623	130	5	240	240	NUM
ejpam-1623	130	6	,	,	PUNCT
ejpam-1623	130	7	α=	α=	NOUN
ejpam-1623	130	8	240	240	NUM
ejpam-1623	130	9	1912−	1912−	NUM
ejpam-1623	130	10	1	1	NUM
ejpam-1623	130	11	1914−	1914−	NUM
ejpam-1623	130	12	1	1	NUM
ejpam-1623	130	13	=	=	SYM
ejpam-1623	130	14	240	240	NUM
ejpam-1623	130	15	1	1	NUM
ejpam-1623	130	16	1912	1912	NUM
ejpam-1623	130	17	+	+	SYM
ejpam-1623	130	18	1	1	NUM
ejpam-1623	130	19	=	=	SYM
ejpam-1623	130	20	120	120	NUM
ejpam-1623	130	21	18241	18241	NUM
ejpam-1623	130	22	β	β	X
ejpam-1623	130	23	=	=	NOUN
ejpam-1623	130	24	240	240	NUM
ejpam-1623	130	25	1914−	1914−	NUM
ejpam-1623	130	26	1912	1912	NUM
ejpam-1623	130	27	1914−	1914−	NUM
ejpam-1623	130	28	1	1	NUM
ejpam-1623	130	29	=	=	SYM
ejpam-1623	130	30	240	240	NUM
ejpam-1623	130	31	1912	1912	NUM
ejpam-1623	130	32	1912	1912	NUM
ejpam-1623	131	1	+	+	SYM
ejpam-1623	131	2	1	1	NUM
ejpam-1623	131	3	=	=	SYM
ejpam-1623	131	4	1912	1912	NUM
ejpam-1623	131	5	120	120	NUM
ejpam-1623	131	6	18241	18241	NUM
ejpam-1623	131	7	and	and	CCONJ
ejpam-1623	131	8	for	for	ADP
ejpam-1623	131	9	any	any	DET
ejpam-1623	131	10	q	q	NOUN
ejpam-1623	131	11	in	in	ADP
ejpam-1623	131	12	(	(	PUNCT
ejpam-1623	131	13	1	1	X
ejpam-1623	131	14	)	)	PUNCT
ejpam-1623	131	15	e(q	e(q	NOUN
ejpam-1623	131	16	:	:	PUNCT
ejpam-1623	131	17	q	q	X
ejpam-1623	131	18	)	)	PUNCT
ejpam-1623	131	19	=	=	SYM
ejpam-1623	132	1	1	1	NUM
ejpam-1623	132	2	+	+	NUM
ejpam-1623	132	3	120	120	NUM
ejpam-1623	132	4	18241	18241	NUM
ejpam-1623	132	5	∞	∞	NUM
ejpam-1623	132	6	∑	∑	PUNCT
ejpam-1623	132	7	n=1	n=1	PROPN
ejpam-1623	132	8	(	(	PUNCT
ejpam-1623	132	9	qn+	qn+	PROPN
ejpam-1623	132	10	1912q191n)σ3(n	1912q191n)σ3(n	PROPN
ejpam-1623	132	11	)	)	PUNCT
ejpam-1623	132	12	=	=	SYM
ejpam-1623	133	1	120	120	NUM
ejpam-1623	133	2	18241	18241	NUM
ejpam-1623	133	3	∞	∞	NUM
ejpam-1623	133	4	∑	∑	PUNCT
ejpam-1623	133	5	n=1	n=1	PROPN
ejpam-1623	133	6	σ∗3(n)q	σ∗3(n)q	NOUN
ejpam-1623	133	7	n	n	PRON
ejpam-1623	133	8	where	where	SCONJ
ejpam-1623	133	9	σ∗3(n	σ∗3(n	NOUN
ejpam-1623	133	10	)	)	PUNCT
ejpam-1623	133	11	=	=	PUNCT
ejpam-1623	133	12	(	(	PUNCT
ejpam-1623	133	13	σ3(n	σ3(n	ADP
ejpam-1623	133	14	)	)	PUNCT
ejpam-1623	133	15	if	if	SCONJ
ejpam-1623	133	16	n≥	n≥	PROPN
ejpam-1623	133	17	1	1	NUM
ejpam-1623	133	18	and	and	CCONJ
ejpam-1623	133	19	191	191	NUM
ejpam-1623	133	20	∤	∤	NUM
ejpam-1623	133	21	n	n	PRON
ejpam-1623	133	22	σ3(n	σ3(n	NOUN
ejpam-1623	133	23	)	)	PUNCT
ejpam-1623	133	24	+	+	NUM
ejpam-1623	133	25	1912σ3(n/191	1912σ3(n/191	X
ejpam-1623	133	26	)	)	PUNCT
ejpam-1623	133	27	if	if	SCONJ
ejpam-1623	133	28	191	191	NUM
ejpam-1623	133	29	|	|	ADV
ejpam-1623	133	30	n	n	PROPN
ejpam-1623	133	31	b.	b.	PROPN
ejpam-1623	133	32	köklüce	köklüce	PROPN
ejpam-1623	133	33	/	/	SYM
ejpam-1623	133	34	eur	eur	PROPN
ejpam-1623	133	35	.	.	PUNCT
ejpam-1623	134	1	j.	j.	PROPN
ejpam-1623	134	2	pure	pure	PROPN
ejpam-1623	134	3	appl	appl	PROPN
ejpam-1623	134	4	.	.	PROPN
ejpam-1623	134	5	math	math	PROPN
ejpam-1623	134	6	,	,	PUNCT
ejpam-1623	134	7	5	5	NUM
ejpam-1623	134	8	(	(	PUNCT
ejpam-1623	134	9	2012	2012	NUM
ejpam-1623	134	10	)	)	PUNCT
ejpam-1623	134	11	,	,	PUNCT
ejpam-1623	134	12	451	451	NUM
ejpam-1623	134	13	-	-	SYM
ejpam-1623	134	14	468	468	NUM
ejpam-1623	134	15	456	456	NUM
ejpam-1623	134	16	3	3	NUM
ejpam-1623	134	17	.	.	PUNCT
ejpam-1623	135	1	the	the	DET
ejpam-1623	135	2	selection	selection	NOUN
ejpam-1623	135	3	of	of	ADP
ejpam-1623	135	4	spherical	spherical	ADJ
ejpam-1623	135	5	functions	function	NOUN
ejpam-1623	135	6	here	here	ADV
ejpam-1623	135	7	we	we	PRON
ejpam-1623	135	8	will	will	AUX
ejpam-1623	135	9	select	select	VERB
ejpam-1623	135	10	47	47	NUM
ejpam-1623	135	11	spherical	spherical	ADJ
ejpam-1623	135	12	functions	function	NOUN
ejpam-1623	135	13	such	such	ADJ
ejpam-1623	135	14	that	that	SCONJ
ejpam-1623	135	15	the	the	DET
ejpam-1623	135	16	corresponding	corresponding	ADJ
ejpam-1623	135	17	generalized	generalize	VERB
ejpam-1623	135	18	theta	theta	NOUN
ejpam-1623	135	19	series	series	NOUN
ejpam-1623	135	20	span	span	VERB
ejpam-1623	135	21	all	all	DET
ejpam-1623	135	22	the	the	DET
ejpam-1623	135	23	generalized	generalize	VERB
ejpam-1623	135	24	theta	theta	NOUN
ejpam-1623	135	25	series	series	NOUN
ejpam-1623	135	26	of	of	ADP
ejpam-1623	135	27	(	(	PUNCT
ejpam-1623	135	28	3	3	NUM
ejpam-1623	135	29	)	)	PUNCT
ejpam-1623	135	30	induced	induce	VERB
ejpam-1623	135	31	by	by	ADP
ejpam-1623	135	32	spherical	spherical	ADJ
ejpam-1623	135	33	functions	function	NOUN
ejpam-1623	135	34	of	of	ADP
ejpam-1623	135	35	the	the	DET
ejpam-1623	135	36	form	form	NOUN
ejpam-1623	135	37	(	(	PUNCT
ejpam-1623	135	38	2	2	NUM
ejpam-1623	135	39	)	)	PUNCT
ejpam-1623	135	40	.	.	PUNCT
ejpam-1623	136	1	1	1	NUM
ejpam-1623	136	2	for	for	ADP
ejpam-1623	136	3	2f2	2f2	NUM
ejpam-1623	136	4	=	=	NOUN
ejpam-1623	136	5	2x2	2x2	NUM
ejpam-1623	136	6	1	1	NUM
ejpam-1623	136	7	+	+	SYM
ejpam-1623	136	8	2x1	2x1	NUM
ejpam-1623	136	9	x2	x2	NOUN
ejpam-1623	136	10	+	+	X
ejpam-1623	136	11	96x2	96x2	NUM
ejpam-1623	136	12	2	2	NUM
ejpam-1623	136	13	+	+	NUM
ejpam-1623	136	14	2x2	2x2	NUM
ejpam-1623	136	15	3	3	NUM
ejpam-1623	136	16	+	+	SYM
ejpam-1623	136	17	2x3x4	2x3x4	NUM
ejpam-1623	136	18	+	+	CCONJ
ejpam-1623	137	1	96x2	96x2	NUM
ejpam-1623	137	2	4	4	NUM
ejpam-1623	137	3	=	=	SYM
ejpam-1623	137	4	�	�	PROPN
ejpam-1623	137	5	x1	x1	PROPN
ejpam-1623	137	6	,	,	PUNCT
ejpam-1623	137	7	x2	x2	PROPN
ejpam-1623	137	8	,	,	PUNCT
ejpam-1623	137	9	x3	x3	ADJ
ejpam-1623	137	10	,	,	PUNCT
ejpam-1623	137	11	x4	x4	PROPN
ejpam-1623	137	12	�	�	PROPN
ejpam-1623	137	13			PROPN
ejpam-1623	137	14			NOUN
ejpam-1623	137	15			NOUN
ejpam-1623	137	16			NOUN
ejpam-1623	137	17			NOUN
ejpam-1623	137	18	2	2	NUM
ejpam-1623	137	19	1	1	NUM
ejpam-1623	137	20	0	0	NUM
ejpam-1623	137	21	0	0	NUM
ejpam-1623	137	22	1	1	NUM
ejpam-1623	137	23	96	96	NUM
ejpam-1623	137	24	0	0	NUM
ejpam-1623	137	25	0	0	NUM
ejpam-1623	137	26	0	0	NUM
ejpam-1623	137	27	0	0	NUM
ejpam-1623	137	28	2	2	NUM
ejpam-1623	137	29	1	1	NUM
ejpam-1623	137	30	0	0	NUM
ejpam-1623	137	31	0	0	NUM
ejpam-1623	137	32	1	1	NUM
ejpam-1623	137	33	96	96	NUM
ejpam-1623	137	34			NOUN
ejpam-1623	137	35			NOUN
ejpam-1623	137	36			VERB
ejpam-1623	137	37			NOUN
ejpam-1623	137	38			PUNCT
ejpam-1623	138	1			PROPN
ejpam-1623	138	2			NOUN
ejpam-1623	138	3			NOUN
ejpam-1623	138	4			NOUN
ejpam-1623	138	5			NOUN
ejpam-1623	139	1	x1	x1	PROPN
ejpam-1623	139	2	x2	x2	PROPN
ejpam-1623	139	3	x3	x3	PROPN
ejpam-1623	139	4	x4	x4	PROPN
ejpam-1623	139	5			PROPN
ejpam-1623	139	6			NOUN
ejpam-1623	139	7			VERB
ejpam-1623	139	8			NOUN
ejpam-1623	139	9			PUNCT
ejpam-1623	140	1	the	the	DET
ejpam-1623	140	2	determinant	determinant	ADJ
ejpam-1623	140	3	d	d	NOUN
ejpam-1623	140	4	=	=	SYM
ejpam-1623	140	5	1912,a11	1912,a11	NUM
ejpam-1623	140	6	=	=	SYM
ejpam-1623	140	7	76.191	76.191	NUM
ejpam-1623	140	8	.	.	PUNCT
ejpam-1623	141	1	by	by	ADP
ejpam-1623	141	2	putting	put	VERB
ejpam-1623	141	3	2k	2k	NUM
ejpam-1623	141	4	=	=	SYM
ejpam-1623	141	5	4	4	NUM
ejpam-1623	141	6	,	,	PUNCT
ejpam-1623	141	7	q	q	NOUN
ejpam-1623	141	8	=	=	SYM
ejpam-1623	141	9	f2	f2	PROPN
ejpam-1623	141	10	,	,	PUNCT
ejpam-1623	141	11	and	and	CCONJ
ejpam-1623	141	12	appropriate	appropriate	ADJ
ejpam-1623	141	13	i	i	PROPN
ejpam-1623	141	14	,	,	PUNCT
ejpam-1623	141	15	j	j	PROPN
ejpam-1623	141	16	in	in	ADP
ejpam-1623	141	17	theorem	theorem	NOUN
ejpam-1623	141	18	1	1	NUM
ejpam-1623	141	19	,	,	PUNCT
ejpam-1623	141	20	we	we	PRON
ejpam-1623	141	21	get	get	VERB
ejpam-1623	141	22	the	the	DET
ejpam-1623	141	23	spherical	spherical	ADJ
ejpam-1623	141	24	function	function	NOUN
ejpam-1623	141	25	of	of	ADP
ejpam-1623	141	26	second	second	ADJ
ejpam-1623	141	27	order	order	NOUN
ejpam-1623	141	28	with	with	ADP
ejpam-1623	141	29	respect	respect	NOUN
ejpam-1623	141	30	to	to	ADP
ejpam-1623	141	31	f2	f2	PROPN
ejpam-1623	141	32	as	as	ADP
ejpam-1623	141	33	:	:	PUNCT
ejpam-1623	141	34	ϕ12	ϕ12	NOUN
ejpam-1623	141	35	=	=	SYM
ejpam-1623	141	36	x2	x2	PROPN
ejpam-1623	142	1	1	1	NUM
ejpam-1623	142	2	−	−	NUM
ejpam-1623	142	3	1	1	NUM
ejpam-1623	142	4	4	4	NUM
ejpam-1623	142	5	96.191	96.191	NUM
ejpam-1623	142	6	1912	1912	NUM
ejpam-1623	142	7	2f2	2f2	NUM
ejpam-1623	143	1	=	=	SYM
ejpam-1623	143	2	x2	x2	PROPN
ejpam-1623	143	3	1	1	NUM
ejpam-1623	143	4	−	−	PROPN
ejpam-1623	143	5	48	48	NUM
ejpam-1623	143	6	191	191	NUM
ejpam-1623	143	7	f2	f2	NOUN
ejpam-1623	143	8	,	,	PUNCT
ejpam-1623	143	9	2	2	NUM
ejpam-1623	143	10	for	for	ADP
ejpam-1623	143	11	2φ2	2φ2	NUM
ejpam-1623	143	12	=	=	SYM
ejpam-1623	143	13	4x2	4x2	NUM
ejpam-1623	143	14	1	1	NUM
ejpam-1623	143	15	+	+	SYM
ejpam-1623	143	16	2x1	2x1	NUM
ejpam-1623	143	17	x2	x2	NUM
ejpam-1623	143	18	+	+	PROPN
ejpam-1623	143	19	48x2	48x2	PROPN
ejpam-1623	143	20	2	2	NUM
ejpam-1623	143	21	+	+	NOUN
ejpam-1623	143	22	4x2	4x2	NUM
ejpam-1623	143	23	3	3	NUM
ejpam-1623	143	24	+	+	SYM
ejpam-1623	143	25	2x3	2x3	NUM
ejpam-1623	143	26	x4	x4	PROPN
ejpam-1623	143	27	+	+	PROPN
ejpam-1623	143	28	48x2	48x2	NUM
ejpam-1623	143	29	4	4	NUM
ejpam-1623	143	30	,	,	PUNCT
ejpam-1623	143	31	by	by	ADP
ejpam-1623	143	32	taking	take	VERB
ejpam-1623	143	33	a11	a11	PROPN
ejpam-1623	143	34	=	=	SYM
ejpam-1623	143	35	48.191	48.191	NUM
ejpam-1623	143	36	,	,	PUNCT
ejpam-1623	143	37	a12	a12	NOUN
ejpam-1623	143	38	=	=	SYM
ejpam-1623	143	39	−191	−191	NOUN
ejpam-1623	143	40	we	we	PRON
ejpam-1623	143	41	get	get	VERB
ejpam-1623	143	42	ϕ11	ϕ11	NOUN
ejpam-1623	143	43	=	=	SYM
ejpam-1623	143	44	x2	x2	ADJ
ejpam-1623	143	45	11	11	NUM
ejpam-1623	143	46	−	−	NOUN
ejpam-1623	143	47	1	1	NUM
ejpam-1623	143	48	4	4	NUM
ejpam-1623	143	49	48.191	48.191	NUM
ejpam-1623	143	50	1912	1912	NUM
ejpam-1623	143	51	2φ2	2φ2	NUM
ejpam-1623	143	52	=	=	SYM
ejpam-1623	143	53	x2	x2	PROPN
ejpam-1623	143	54	11−	11−	NUM
ejpam-1623	143	55	24	24	NUM
ejpam-1623	143	56	191	191	NUM
ejpam-1623	143	57	φ2	φ2	NOUN
ejpam-1623	143	58	,	,	PUNCT
ejpam-1623	143	59	ϕ12	ϕ12	NOUN
ejpam-1623	143	60	=	=	NOUN
ejpam-1623	143	61	x1	x1	PROPN
ejpam-1623	144	1	x2	x2	PROPN
ejpam-1623	144	2	+	+	CCONJ
ejpam-1623	144	3	1	1	NUM
ejpam-1623	144	4	4	4	NUM
ejpam-1623	144	5	191	191	NUM
ejpam-1623	144	6	1912	1912	NUM
ejpam-1623	144	7	2φ2	2φ2	NUM
ejpam-1623	144	8	=	=	SYM
ejpam-1623	145	1	x1	x1	PROPN
ejpam-1623	146	1	x2	x2	PROPN
ejpam-1623	147	1	+	+	CCONJ
ejpam-1623	147	2	1	1	NUM
ejpam-1623	147	3	2.191	2.191	NUM
ejpam-1623	147	4	φ2	φ2	PROPN
ejpam-1623	147	5	,	,	PUNCT
ejpam-1623	147	6	which	which	PRON
ejpam-1623	147	7	will	will	AUX
ejpam-1623	147	8	be	be	AUX
ejpam-1623	147	9	spherical	spherical	ADJ
ejpam-1623	147	10	functions	function	NOUN
ejpam-1623	147	11	of	of	ADP
ejpam-1623	147	12	second	second	ADJ
ejpam-1623	147	13	order	order	NOUN
ejpam-1623	147	14	with	with	ADP
ejpam-1623	147	15	respect	respect	NOUN
ejpam-1623	147	16	to	to	ADP
ejpam-1623	147	17	φ2	φ2	PROPN
ejpam-1623	147	18	.	.	PUNCT
ejpam-1623	148	1	3	3	NUM
ejpam-1623	148	2	for	for	ADP
ejpam-1623	148	3	2ψ2	2ψ2	NUM
ejpam-1623	148	4	=	=	SYM
ejpam-1623	148	5	6x2	6x2	NUM
ejpam-1623	148	6	1	1	NUM
ejpam-1623	149	1	+	+	SYM
ejpam-1623	149	2	2x1	2x1	NUM
ejpam-1623	149	3	x2	x2	NUM
ejpam-1623	149	4	+	+	PROPN
ejpam-1623	149	5	32x2	32x2	NUM
ejpam-1623	149	6	2	2	NUM
ejpam-1623	149	7	+	+	NOUN
ejpam-1623	149	8	6x2	6x2	NUM
ejpam-1623	149	9	3	3	NUM
ejpam-1623	149	10	+	+	SYM
ejpam-1623	149	11	2x3	2x3	NUM
ejpam-1623	149	12	x4	x4	ADV
ejpam-1623	149	13	+	+	PROPN
ejpam-1623	149	14	32x2	32x2	NUM
ejpam-1623	149	15	4	4	NUM
ejpam-1623	149	16	,	,	PUNCT
ejpam-1623	149	17	by	by	ADP
ejpam-1623	149	18	taking	take	VERB
ejpam-1623	149	19	a22	a22	PROPN
ejpam-1623	149	20	=	=	PUNCT
ejpam-1623	149	21	6.191	6.191	NUM
ejpam-1623	149	22	,	,	PUNCT
ejpam-1623	149	23	a33	a33	NOUN
ejpam-1623	149	24	=	=	SYM
ejpam-1623	149	25	32.191	32.191	NUM
ejpam-1623	149	26	we	we	PRON
ejpam-1623	149	27	get	get	VERB
ejpam-1623	149	28	;	;	PUNCT
ejpam-1623	150	1	ϕ22	ϕ22	NOUN
ejpam-1623	150	2	=	=	SYM
ejpam-1623	150	3	x2	x2	PROPN
ejpam-1623	150	4	2	2	NUM
ejpam-1623	150	5	−	−	NOUN
ejpam-1623	150	6	3	3	NUM
ejpam-1623	150	7	191	191	NUM
ejpam-1623	150	8	ψ2,ϕ33	ψ2,ϕ33	NOUN
ejpam-1623	151	1	=	=	SYM
ejpam-1623	151	2	x2	x2	PROPN
ejpam-1623	151	3	3	3	NUM
ejpam-1623	151	4	−	−	NOUN
ejpam-1623	151	5	16	16	NUM
ejpam-1623	151	6	191	191	NUM
ejpam-1623	151	7	ψ2	ψ2	NOUN
ejpam-1623	151	8	,	,	PUNCT
ejpam-1623	151	9	which	which	PRON
ejpam-1623	151	10	will	will	AUX
ejpam-1623	151	11	be	be	AUX
ejpam-1623	151	12	spherical	spherical	ADJ
ejpam-1623	151	13	functions	function	NOUN
ejpam-1623	151	14	of	of	ADP
ejpam-1623	151	15	second	second	ADJ
ejpam-1623	151	16	order	order	NOUN
ejpam-1623	151	17	with	with	ADP
ejpam-1623	151	18	respect	respect	NOUN
ejpam-1623	151	19	to	to	ADP
ejpam-1623	151	20	ψ2	ψ2	NOUN
ejpam-1623	151	21	.	.	PUNCT
ejpam-1623	151	22	4	4	NUM
ejpam-1623	151	23	for	for	ADP
ejpam-1623	151	24	2λ2	2λ2	NUM
ejpam-1623	151	25	=	=	SYM
ejpam-1623	151	26	8x2	8x2	NUM
ejpam-1623	151	27	1	1	NUM
ejpam-1623	151	28	+	+	SYM
ejpam-1623	151	29	2x1	2x1	NUM
ejpam-1623	151	30	x2	x2	NUM
ejpam-1623	151	31	+	+	PROPN
ejpam-1623	151	32	24x2	24x2	PROPN
ejpam-1623	151	33	2	2	NUM
ejpam-1623	151	34	+	+	NOUN
ejpam-1623	151	35	8x2	8x2	NUM
ejpam-1623	151	36	3	3	NUM
ejpam-1623	151	37	+	+	SYM
ejpam-1623	151	38	2x3	2x3	NUM
ejpam-1623	151	39	x4	x4	PROPN
ejpam-1623	151	40	+	+	PROPN
ejpam-1623	151	41	24x2	24x2	NUM
ejpam-1623	151	42	4	4	NUM
ejpam-1623	151	43	,	,	PUNCT
ejpam-1623	151	44	by	by	ADP
ejpam-1623	151	45	taking	take	VERB
ejpam-1623	151	46	a11	a11	PROPN
ejpam-1623	151	47	=	=	SYM
ejpam-1623	151	48	24.191	24.191	NUM
ejpam-1623	151	49	,	,	PUNCT
ejpam-1623	151	50	a12	a12	NOUN
ejpam-1623	151	51	=	=	SYM
ejpam-1623	151	52	−191	−191	NOUN
ejpam-1623	151	53	we	we	PRON
ejpam-1623	151	54	get	get	VERB
ejpam-1623	151	55	;	;	PUNCT
ejpam-1623	151	56	ϕ11	ϕ11	PROPN
ejpam-1623	151	57	=	=	SYM
ejpam-1623	151	58	x2	x2	PROPN
ejpam-1623	152	1	1	1	NUM
ejpam-1623	152	2	−	−	NOUN
ejpam-1623	152	3	12	12	NUM
ejpam-1623	152	4	191	191	NUM
ejpam-1623	152	5	λ2,ϕ12	λ2,ϕ12	NOUN
ejpam-1623	152	6	=	=	SYM
ejpam-1623	153	1	x1	x1	PROPN
ejpam-1623	154	1	x2	x2	PROPN
ejpam-1623	155	1	+	+	CCONJ
ejpam-1623	155	2	1	1	NUM
ejpam-1623	155	3	2.191	2.191	NUM
ejpam-1623	155	4	λ2	λ2	NOUN
ejpam-1623	155	5	,	,	PUNCT
ejpam-1623	155	6	which	which	PRON
ejpam-1623	155	7	will	will	AUX
ejpam-1623	155	8	be	be	AUX
ejpam-1623	155	9	spherical	spherical	ADJ
ejpam-1623	155	10	functions	function	NOUN
ejpam-1623	155	11	of	of	ADP
ejpam-1623	155	12	second	second	ADJ
ejpam-1623	155	13	order	order	NOUN
ejpam-1623	155	14	with	with	ADP
ejpam-1623	155	15	respect	respect	NOUN
ejpam-1623	155	16	to	to	ADP
ejpam-1623	155	17	λ2	λ2	NUM
ejpam-1623	155	18	.	.	PUNCT
ejpam-1623	155	19	5	5	NUM
ejpam-1623	155	20	for	for	ADP
ejpam-1623	155	21	2υ2	2υ2	NUM
ejpam-1623	155	22	=	=	SYM
ejpam-1623	155	23	10x2	10x2	NUM
ejpam-1623	155	24	1	1	NUM
ejpam-1623	155	25	+	+	CCONJ
ejpam-1623	155	26	6x1	6x1	NUM
ejpam-1623	155	27	x2	x2	NOUN
ejpam-1623	155	28	+	+	CCONJ
ejpam-1623	155	29	20x2	20x2	NUM
ejpam-1623	155	30	2	2	NUM
ejpam-1623	155	31	+	+	CCONJ
ejpam-1623	155	32	10x2	10x2	NUM
ejpam-1623	155	33	3	3	NUM
ejpam-1623	155	34	+	+	CCONJ
ejpam-1623	155	35	6x3	6x3	NUM
ejpam-1623	155	36	x4	x4	NOUN
ejpam-1623	155	37	+	+	X
ejpam-1623	155	38	20x2	20x2	NUM
ejpam-1623	155	39	4	4	NUM
ejpam-1623	155	40	by	by	ADP
ejpam-1623	155	41	taking	take	VERB
ejpam-1623	155	42	a11	a11	PROPN
ejpam-1623	155	43	=	=	SYM
ejpam-1623	155	44	20.191	20.191	NUM
ejpam-1623	155	45	,	,	PUNCT
ejpam-1623	155	46	a22	a22	PROPN
ejpam-1623	155	47	=	=	SYM
ejpam-1623	155	48	10.191	10.191	NUM
ejpam-1623	155	49	we	we	PRON
ejpam-1623	155	50	have	have	AUX
ejpam-1623	155	51	;	;	PUNCT
ejpam-1623	155	52	ϕ11	ϕ11	NUM
ejpam-1623	155	53	=	=	SYM
ejpam-1623	155	54	x2	x2	PROPN
ejpam-1623	155	55	1	1	NUM
ejpam-1623	155	56	−	−	NUM
ejpam-1623	155	57	10	10	NUM
ejpam-1623	155	58	191	191	NUM
ejpam-1623	155	59	υ2,ϕ22	υ2,ϕ22	VERB
ejpam-1623	155	60	=	=	PUNCT
ejpam-1623	155	61	x2	x2	ADJ
ejpam-1623	155	62	2	2	NUM
ejpam-1623	155	63	−	−	NUM
ejpam-1623	155	64	5	5	NUM
ejpam-1623	155	65	191	191	NUM
ejpam-1623	155	66	υ2	υ2	NOUN
ejpam-1623	155	67	,	,	PUNCT
ejpam-1623	155	68	which	which	PRON
ejpam-1623	155	69	will	will	AUX
ejpam-1623	155	70	be	be	AUX
ejpam-1623	155	71	spherical	spherical	ADJ
ejpam-1623	155	72	functions	function	NOUN
ejpam-1623	155	73	of	of	ADP
ejpam-1623	155	74	second	second	ADJ
ejpam-1623	155	75	order	order	NOUN
ejpam-1623	155	76	with	with	ADP
ejpam-1623	155	77	respect	respect	NOUN
ejpam-1623	155	78	to	to	ADP
ejpam-1623	155	79	λ2	λ2	PROPN
ejpam-1623	155	80	.	.	PUNCT
ejpam-1623	156	1	b.	b.	PROPN
ejpam-1623	156	2	köklüce	köklüce	PROPN
ejpam-1623	156	3	/	/	SYM
ejpam-1623	156	4	eur	eur	PROPN
ejpam-1623	156	5	.	.	PUNCT
ejpam-1623	157	1	j.	j.	PROPN
ejpam-1623	157	2	pure	pure	PROPN
ejpam-1623	157	3	appl	appl	PROPN
ejpam-1623	157	4	.	.	PROPN
ejpam-1623	157	5	math	math	PROPN
ejpam-1623	157	6	,	,	PUNCT
ejpam-1623	157	7	5	5	NUM
ejpam-1623	157	8	(	(	PUNCT
ejpam-1623	157	9	2012	2012	NUM
ejpam-1623	157	10	)	)	PUNCT
ejpam-1623	157	11	,	,	PUNCT
ejpam-1623	157	12	451	451	NUM
ejpam-1623	157	13	-	-	SYM
ejpam-1623	157	14	468	468	NUM
ejpam-1623	157	15	457	457	NUM
ejpam-1623	157	16	6	6	NUM
ejpam-1623	157	17	for	for	ADP
ejpam-1623	157	18	2ω2	2ω2	NUM
ejpam-1623	157	19	=	=	SYM
ejpam-1623	157	20	12x2	12x2	NUM
ejpam-1623	157	21	1	1	NUM
ejpam-1623	157	22	+	+	NUM
ejpam-1623	157	23	2x1	2x1	NUM
ejpam-1623	157	24	x2	x2	NOUN
ejpam-1623	157	25	+	+	CCONJ
ejpam-1623	157	26	16x2	16x2	NUM
ejpam-1623	157	27	2	2	NUM
ejpam-1623	157	28	+	+	CCONJ
ejpam-1623	157	29	12x2	12x2	NUM
ejpam-1623	157	30	3	3	NUM
ejpam-1623	157	31	+	+	SYM
ejpam-1623	157	32	2x3	2x3	NUM
ejpam-1623	157	33	x4	x4	ADV
ejpam-1623	157	34	+	+	NOUN
ejpam-1623	157	35	16x2	16x2	NUM
ejpam-1623	157	36	4	4	NUM
ejpam-1623	157	37	,	,	PUNCT
ejpam-1623	157	38	by	by	ADP
ejpam-1623	157	39	taking	take	VERB
ejpam-1623	157	40	a12	a12	NOUN
ejpam-1623	157	41	=	=	SYM
ejpam-1623	157	42	−191	−191	PROPN
ejpam-1623	157	43	,	,	PUNCT
ejpam-1623	157	44	a22	a22	X
ejpam-1623	157	45	=	=	SYM
ejpam-1623	157	46	12.191	12.191	NUM
ejpam-1623	157	47	we	we	PRON
ejpam-1623	157	48	get	get	VERB
ejpam-1623	157	49	;	;	PUNCT
ejpam-1623	157	50	ϕ12	ϕ12	NOUN
ejpam-1623	157	51	=	=	NOUN
ejpam-1623	157	52	x1	x1	PROPN
ejpam-1623	158	1	x2	x2	PROPN
ejpam-1623	158	2	+	+	CCONJ
ejpam-1623	158	3	1	1	NUM
ejpam-1623	158	4	2.191	2.191	NUM
ejpam-1623	158	5	ω2,ϕ22	ω2,ϕ22	ADP
ejpam-1623	158	6	=	=	SYM
ejpam-1623	158	7	x2	x2	PROPN
ejpam-1623	158	8	2	2	NUM
ejpam-1623	158	9	−	−	NOUN
ejpam-1623	158	10	6	6	NUM
ejpam-1623	158	11	191	191	NUM
ejpam-1623	158	12	ω2	ω2	NUM
ejpam-1623	158	13	,	,	PUNCT
ejpam-1623	158	14	which	which	PRON
ejpam-1623	158	15	will	will	AUX
ejpam-1623	158	16	be	be	AUX
ejpam-1623	158	17	spherical	spherical	ADJ
ejpam-1623	158	18	functions	function	NOUN
ejpam-1623	158	19	of	of	ADP
ejpam-1623	158	20	second	second	ADJ
ejpam-1623	158	21	order	order	NOUN
ejpam-1623	158	22	with	with	ADP
ejpam-1623	158	23	respect	respect	NOUN
ejpam-1623	158	24	to	to	ADP
ejpam-1623	158	25	ω2	ω2	NUM
ejpam-1623	158	26	.	.	NOUN
ejpam-1623	158	27	7	7	NUM
ejpam-1623	158	28	for	for	ADP
ejpam-1623	158	29	2π2	2π2	NUM
ejpam-1623	158	30	=	=	SYM
ejpam-1623	158	31	12x2	12x2	NUM
ejpam-1623	158	32	1	1	NUM
ejpam-1623	158	33	+	+	NUM
ejpam-1623	158	34	10x1x2	10x1x2	NOUN
ejpam-1623	158	35	+	+	CCONJ
ejpam-1623	158	36	18x2	18x2	NUM
ejpam-1623	158	37	2	2	NUM
ejpam-1623	158	38	+	+	CCONJ
ejpam-1623	158	39	12x2	12x2	NUM
ejpam-1623	158	40	3	3	NUM
ejpam-1623	158	41	+	+	NUM
ejpam-1623	158	42	10x3x4	10x3x4	NUM
ejpam-1623	158	43	+	+	CCONJ
ejpam-1623	158	44	18x2	18x2	NUM
ejpam-1623	158	45	4	4	NUM
ejpam-1623	158	46	,	,	PUNCT
ejpam-1623	158	47	by	by	ADP
ejpam-1623	158	48	taking	take	VERB
ejpam-1623	158	49	a11	a11	PROPN
ejpam-1623	158	50	=	=	SYM
ejpam-1623	158	51	18.191	18.191	NUM
ejpam-1623	158	52	,	,	PUNCT
ejpam-1623	158	53	a22	a22	PROPN
ejpam-1623	158	54	=	=	SYM
ejpam-1623	159	1	12.191	12.191	NUM
ejpam-1623	159	2	we	we	PRON
ejpam-1623	159	3	get	get	VERB
ejpam-1623	159	4	,	,	PUNCT
ejpam-1623	159	5	ϕ11	ϕ11	PROPN
ejpam-1623	160	1	=	=	SYM
ejpam-1623	160	2	x2	x2	PROPN
ejpam-1623	160	3	1	1	NUM
ejpam-1623	160	4	−	−	NOUN
ejpam-1623	160	5	9	9	NUM
ejpam-1623	160	6	191	191	NUM
ejpam-1623	160	7	π2,ϕ22	π2,ϕ22	X
ejpam-1623	160	8	=	=	SYM
ejpam-1623	160	9	x2	x2	ADJ
ejpam-1623	160	10	2	2	NUM
ejpam-1623	160	11	−	−	NOUN
ejpam-1623	160	12	6	6	NUM
ejpam-1623	160	13	191	191	NUM
ejpam-1623	160	14	π2	π2	NOUN
ejpam-1623	160	15	,	,	PUNCT
ejpam-1623	160	16	which	which	PRON
ejpam-1623	160	17	will	will	AUX
ejpam-1623	160	18	be	be	AUX
ejpam-1623	160	19	spherical	spherical	ADJ
ejpam-1623	160	20	functions	function	NOUN
ejpam-1623	160	21	of	of	ADP
ejpam-1623	160	22	second	second	ADJ
ejpam-1623	160	23	order	order	NOUN
ejpam-1623	160	24	with	with	ADP
ejpam-1623	160	25	respect	respect	NOUN
ejpam-1623	160	26	to	to	ADP
ejpam-1623	160	27	π2	π2	ADJ
ejpam-1623	160	28	.	.	NOUN
ejpam-1623	160	29	8	8	NUM
ejpam-1623	160	30	for	for	ADP
ejpam-1623	160	31	2(f1⊕φ1	2(f1⊕φ1	NUM
ejpam-1623	160	32	)	)	PUNCT
ejpam-1623	160	33	=	=	SYM
ejpam-1623	161	1	2x2	2x2	NUM
ejpam-1623	161	2	1	1	NUM
ejpam-1623	161	3	+2x1x2	+2x1x2	NOUN
ejpam-1623	161	4	+	+	PROPN
ejpam-1623	161	5	96x2	96x2	PROPN
ejpam-1623	161	6	2	2	NUM
ejpam-1623	161	7	+	+	NOUN
ejpam-1623	161	8	4x2	4x2	NUM
ejpam-1623	161	9	3	3	NUM
ejpam-1623	161	10	+	+	SYM
ejpam-1623	161	11	2x3	2x3	NUM
ejpam-1623	161	12	x4	x4	PROPN
ejpam-1623	161	13	+	+	PROPN
ejpam-1623	161	14	48x2	48x2	NUM
ejpam-1623	161	15	4	4	NUM
ejpam-1623	161	16	the	the	DET
ejpam-1623	161	17	determinant	determinant	ADJ
ejpam-1623	161	18	d	d	NOUN
ejpam-1623	161	19	=	=	SYM
ejpam-1623	161	20	1912	1912	NUM
ejpam-1623	161	21	,	,	PUNCT
ejpam-1623	161	22	a12	a12	NOUN
ejpam-1623	161	23	=	=	SYM
ejpam-1623	161	24	−191	−191	PROPN
ejpam-1623	161	25	,	,	PUNCT
ejpam-1623	161	26	a33	a33	NOUN
ejpam-1623	161	27	=	=	SYM
ejpam-1623	161	28	48.191	48.191	NUM
ejpam-1623	161	29	,	,	PUNCT
ejpam-1623	161	30	the	the	DET
ejpam-1623	161	31	spherical	spherical	ADJ
ejpam-1623	161	32	functions	function	NOUN
ejpam-1623	161	33	of	of	ADP
ejpam-1623	161	34	second	second	ADJ
ejpam-1623	161	35	order	order	NOUN
ejpam-1623	161	36	with	with	ADP
ejpam-1623	161	37	respect	respect	NOUN
ejpam-1623	161	38	to	to	ADP
ejpam-1623	161	39	f1	f1	PROPN
ejpam-1623	161	40	⊕φ1	⊕φ1	NOUN
ejpam-1623	161	41	are	be	AUX
ejpam-1623	161	42	;	;	PUNCT
ejpam-1623	161	43	ϕ12	ϕ12	NOUN
ejpam-1623	161	44	=	=	NOUN
ejpam-1623	161	45	x1	x1	PROPN
ejpam-1623	162	1	x2	x2	PROPN
ejpam-1623	162	2	+	+	CCONJ
ejpam-1623	162	3	1	1	NUM
ejpam-1623	162	4	2.191	2.191	NUM
ejpam-1623	162	5	(	(	PUNCT
ejpam-1623	163	1	f1	f1	NOUN
ejpam-1623	163	2	⊕φ1),ϕ33	⊕φ1),ϕ33	NOUN
ejpam-1623	163	3	=	=	SYM
ejpam-1623	163	4	x2	x2	NOUN
ejpam-1623	163	5	3	3	NUM
ejpam-1623	163	6	−	−	NOUN
ejpam-1623	163	7	24	24	NUM
ejpam-1623	163	8	191	191	NUM
ejpam-1623	163	9	(	(	PUNCT
ejpam-1623	163	10	f1	f1	NOUN
ejpam-1623	163	11	⊕φ1	⊕φ1	NOUN
ejpam-1623	163	12	)	)	PUNCT
ejpam-1623	163	13	,	,	PUNCT
ejpam-1623	163	14	9	9	NUM
ejpam-1623	163	15	for	for	ADP
ejpam-1623	163	16	2(f1⊕ψ1	2(f1⊕ψ1	NUM
ejpam-1623	163	17	)	)	PUNCT
ejpam-1623	163	18	=	=	NOUN
ejpam-1623	163	19	2x2	2x2	NUM
ejpam-1623	163	20	1	1	NUM
ejpam-1623	163	21	+	+	NUM
ejpam-1623	163	22	2x1x2	2x1x2	NUM
ejpam-1623	163	23	+	+	ADJ
ejpam-1623	163	24	96x2	96x2	PROPN
ejpam-1623	163	25	2	2	NUM
ejpam-1623	163	26	+	+	NOUN
ejpam-1623	163	27	6x2	6x2	NUM
ejpam-1623	163	28	3	3	NUM
ejpam-1623	163	29	+	+	NUM
ejpam-1623	163	30	2x3x4	2x3x4	NUM
ejpam-1623	163	31	+	+	NOUN
ejpam-1623	163	32	32x2	32x2	NUM
ejpam-1623	163	33	4	4	NUM
ejpam-1623	163	34	the	the	DET
ejpam-1623	163	35	determinant	determinant	ADJ
ejpam-1623	163	36	d	d	NOUN
ejpam-1623	163	37	=	=	SYM
ejpam-1623	163	38	1912	1912	NUM
ejpam-1623	163	39	,	,	PUNCT
ejpam-1623	163	40	a22	a22	X
ejpam-1623	163	41	=	=	SYM
ejpam-1623	163	42	2.191	2.191	NUM
ejpam-1623	163	43	,	,	PUNCT
ejpam-1623	163	44	a34	a34	NOUN
ejpam-1623	163	45	=	=	SYM
ejpam-1623	163	46	−191	−191	PROPN
ejpam-1623	163	47	,	,	PUNCT
ejpam-1623	163	48	the	the	DET
ejpam-1623	163	49	spherical	spherical	ADJ
ejpam-1623	163	50	functions	function	NOUN
ejpam-1623	163	51	of	of	ADP
ejpam-1623	163	52	second	second	ADJ
ejpam-1623	163	53	order	order	NOUN
ejpam-1623	163	54	with	with	ADP
ejpam-1623	163	55	respect	respect	NOUN
ejpam-1623	163	56	to	to	ADP
ejpam-1623	163	57	f1⊕ψ1	f1⊕ψ1	NOUN
ejpam-1623	163	58	are	be	AUX
ejpam-1623	163	59	;	;	PUNCT
ejpam-1623	163	60	ϕ22	ϕ22	PROPN
ejpam-1623	163	61	=	=	SYM
ejpam-1623	163	62	x2	x2	PROPN
ejpam-1623	163	63	2	2	NUM
ejpam-1623	163	64	−	−	NOUN
ejpam-1623	163	65	1	1	NUM
ejpam-1623	163	66	191	191	NUM
ejpam-1623	163	67	(	(	PUNCT
ejpam-1623	163	68	f1	f1	NOUN
ejpam-1623	163	69	⊕ψ1),ϕ34	⊕ψ1),ϕ34	NOUN
ejpam-1623	164	1	=	=	SYM
ejpam-1623	164	2	x3	x3	PROPN
ejpam-1623	164	3	x4	x4	PROPN
ejpam-1623	164	4	+	+	CCONJ
ejpam-1623	164	5	1	1	NUM
ejpam-1623	164	6	2.191	2.191	NUM
ejpam-1623	164	7	(	(	PUNCT
ejpam-1623	164	8	f1	f1	PROPN
ejpam-1623	164	9	⊕ψ1	⊕ψ1	NOUN
ejpam-1623	164	10	)	)	PUNCT
ejpam-1623	164	11	,	,	PUNCT
ejpam-1623	164	12	10	10	NUM
ejpam-1623	164	13	for	for	ADP
ejpam-1623	164	14	2(f1⊕λ1	2(f1⊕λ1	NUM
ejpam-1623	164	15	)	)	PUNCT
ejpam-1623	164	16	=	=	PUNCT
ejpam-1623	165	1	2x2	2x2	NUM
ejpam-1623	165	2	1	1	NUM
ejpam-1623	165	3	+2x1x2	+2x1x2	NOUN
ejpam-1623	165	4	+	+	PROPN
ejpam-1623	165	5	96x2	96x2	PROPN
ejpam-1623	165	6	2	2	NUM
ejpam-1623	165	7	+	+	NOUN
ejpam-1623	165	8	8x2	8x2	NUM
ejpam-1623	165	9	3	3	NUM
ejpam-1623	165	10	+	+	SYM
ejpam-1623	165	11	2x3	2x3	NUM
ejpam-1623	165	12	x4	x4	PROPN
ejpam-1623	165	13	+	+	PROPN
ejpam-1623	165	14	24x2	24x2	NUM
ejpam-1623	165	15	4	4	NUM
ejpam-1623	165	16	the	the	DET
ejpam-1623	165	17	determinant	determinant	ADJ
ejpam-1623	165	18	d	d	NOUN
ejpam-1623	165	19	=	=	SYM
ejpam-1623	165	20	1912	1912	NUM
ejpam-1623	165	21	,	,	PUNCT
ejpam-1623	165	22	a12	a12	PROPN
ejpam-1623	165	23	=	=	SYM
ejpam-1623	165	24	−191	−191	PROPN
ejpam-1623	165	25	,	,	PUNCT
ejpam-1623	165	26	a44	a44	PROPN
ejpam-1623	165	27	=	=	SYM
ejpam-1623	165	28	8.191	8.191	NUM
ejpam-1623	165	29	,	,	PUNCT
ejpam-1623	165	30	the	the	DET
ejpam-1623	165	31	spherical	spherical	ADJ
ejpam-1623	165	32	functions	function	NOUN
ejpam-1623	165	33	of	of	ADP
ejpam-1623	165	34	second	second	ADJ
ejpam-1623	165	35	order	order	NOUN
ejpam-1623	165	36	with	with	ADP
ejpam-1623	165	37	respect	respect	NOUN
ejpam-1623	165	38	to	to	ADP
ejpam-1623	165	39	f1⊕λ1	f1⊕λ1	PROPN
ejpam-1623	165	40	are	be	AUX
ejpam-1623	165	41	;	;	PUNCT
ejpam-1623	165	42	ϕ12	ϕ12	NOUN
ejpam-1623	165	43	=	=	NOUN
ejpam-1623	165	44	x1	x1	PROPN
ejpam-1623	166	1	x2	x2	PROPN
ejpam-1623	166	2	+	+	CCONJ
ejpam-1623	166	3	1	1	NUM
ejpam-1623	166	4	2.191	2.191	NUM
ejpam-1623	166	5	(	(	PUNCT
ejpam-1623	166	6	f1	f1	NOUN
ejpam-1623	166	7	⊕λ1),ϕ44	⊕λ1),ϕ44	ADJ
ejpam-1623	166	8	=	=	PUNCT
ejpam-1623	166	9	x2	x2	PROPN
ejpam-1623	166	10	4	4	NUM
ejpam-1623	166	11	−	−	NOUN
ejpam-1623	166	12	4	4	NUM
ejpam-1623	166	13	191	191	NUM
ejpam-1623	166	14	(	(	PUNCT
ejpam-1623	166	15	f1	f1	PROPN
ejpam-1623	166	16	⊕λ1	⊕λ1	PROPN
ejpam-1623	166	17	)	)	PUNCT
ejpam-1623	166	18	,	,	PUNCT
ejpam-1623	166	19	11	11	NUM
ejpam-1623	166	20	for	for	ADP
ejpam-1623	166	21	2(f1⊕υ1	2(f1⊕υ1	NUM
ejpam-1623	166	22	)	)	PUNCT
ejpam-1623	166	23	=	=	NOUN
ejpam-1623	167	1	2x2	2x2	NUM
ejpam-1623	167	2	1	1	NUM
ejpam-1623	167	3	+	+	NUM
ejpam-1623	167	4	2x1x2	2x1x2	NUM
ejpam-1623	167	5	+	+	ADJ
ejpam-1623	167	6	96x2	96x2	PROPN
ejpam-1623	167	7	2	2	NUM
ejpam-1623	167	8	+	+	NOUN
ejpam-1623	167	9	10x2	10x2	NUM
ejpam-1623	167	10	3	3	NUM
ejpam-1623	167	11	+	+	SYM
ejpam-1623	167	12	6x3	6x3	NUM
ejpam-1623	167	13	x4	x4	NOUN
ejpam-1623	167	14	+	+	PROPN
ejpam-1623	167	15	20x2	20x2	NUM
ejpam-1623	167	16	4	4	NUM
ejpam-1623	167	17	the	the	DET
ejpam-1623	167	18	determinant	determinant	ADJ
ejpam-1623	167	19	d	d	NOUN
ejpam-1623	167	20	=	=	SYM
ejpam-1623	167	21	1912	1912	NUM
ejpam-1623	167	22	,	,	PUNCT
ejpam-1623	167	23	a11	a11	PROPN
ejpam-1623	167	24	=	=	SYM
ejpam-1623	167	25	96.191	96.191	NUM
ejpam-1623	167	26	,	,	PUNCT
ejpam-1623	167	27	a34	a34	NOUN
ejpam-1623	167	28	=	=	SYM
ejpam-1623	167	29	−3.191	−3.191	PROPN
ejpam-1623	167	30	,	,	PUNCT
ejpam-1623	167	31	the	the	DET
ejpam-1623	167	32	spherical	spherical	ADJ
ejpam-1623	167	33	functions	function	NOUN
ejpam-1623	167	34	of	of	ADP
ejpam-1623	167	35	second	second	ADJ
ejpam-1623	167	36	order	order	NOUN
ejpam-1623	167	37	with	with	ADP
ejpam-1623	167	38	respect	respect	NOUN
ejpam-1623	167	39	to	to	ADP
ejpam-1623	167	40	f1	f1	PROPN
ejpam-1623	167	41	⊕υ1	⊕υ1	NOUN
ejpam-1623	167	42	are	be	AUX
ejpam-1623	167	43	;	;	PUNCT
ejpam-1623	167	44	ϕ11	ϕ11	PROPN
ejpam-1623	167	45	=	=	SYM
ejpam-1623	167	46	x2	x2	PROPN
ejpam-1623	167	47	1	1	NUM
ejpam-1623	167	48	−	−	PROPN
ejpam-1623	167	49	48	48	NUM
ejpam-1623	167	50	191	191	NUM
ejpam-1623	167	51	(	(	PUNCT
ejpam-1623	167	52	f1	f1	NOUN
ejpam-1623	167	53	⊕υ1),ϕ34	⊕υ1),ϕ34	NOUN
ejpam-1623	167	54	=	=	PUNCT
ejpam-1623	167	55	x3	x3	PROPN
ejpam-1623	167	56	x4	x4	PROPN
ejpam-1623	168	1	+	+	CCONJ
ejpam-1623	168	2	3	3	NUM
ejpam-1623	168	3	2.191	2.191	NUM
ejpam-1623	168	4	(	(	PUNCT
ejpam-1623	168	5	f1	f1	PROPN
ejpam-1623	168	6	⊕υ1	⊕υ1	NOUN
ejpam-1623	168	7	)	)	PUNCT
ejpam-1623	168	8	,	,	PUNCT
ejpam-1623	168	9	12	12	NUM
ejpam-1623	168	10	for	for	ADP
ejpam-1623	168	11	2(f1⊕ω1	2(f1⊕ω1	NUM
ejpam-1623	168	12	)	)	PUNCT
ejpam-1623	168	13	=	=	SYM
ejpam-1623	168	14	2x2	2x2	NUM
ejpam-1623	168	15	1	1	NUM
ejpam-1623	168	16	+	+	NUM
ejpam-1623	168	17	2x1x2	2x1x2	NUM
ejpam-1623	168	18	+	+	ADJ
ejpam-1623	168	19	96x2	96x2	PROPN
ejpam-1623	168	20	2	2	NUM
ejpam-1623	168	21	+	+	NOUN
ejpam-1623	168	22	12x2	12x2	NUM
ejpam-1623	168	23	3	3	NUM
ejpam-1623	168	24	+	+	NOUN
ejpam-1623	168	25	2x3x4	2x3x4	NUM
ejpam-1623	168	26	+	+	ADJ
ejpam-1623	168	27	16x2	16x2	NUM
ejpam-1623	168	28	4	4	NUM
ejpam-1623	169	1	the	the	DET
ejpam-1623	169	2	determinant	determinant	ADJ
ejpam-1623	169	3	d	d	NOUN
ejpam-1623	169	4	=	=	SYM
ejpam-1623	169	5	1912	1912	NUM
ejpam-1623	169	6	,	,	PUNCT
ejpam-1623	169	7	a12	a12	NOUN
ejpam-1623	169	8	=	=	SYM
ejpam-1623	169	9	−191	−191	PROPN
ejpam-1623	169	10	,	,	PUNCT
ejpam-1623	169	11	a33	a33	NOUN
ejpam-1623	169	12	=	=	SYM
ejpam-1623	169	13	20.191	20.191	NUM
ejpam-1623	169	14	,	,	PUNCT
ejpam-1623	169	15	the	the	DET
ejpam-1623	169	16	spherical	spherical	ADJ
ejpam-1623	169	17	functions	function	NOUN
ejpam-1623	169	18	of	of	ADP
ejpam-1623	169	19	second	second	ADJ
ejpam-1623	169	20	order	order	NOUN
ejpam-1623	169	21	with	with	ADP
ejpam-1623	169	22	respect	respect	NOUN
ejpam-1623	169	23	to	to	ADP
ejpam-1623	169	24	f1	f1	NOUN
ejpam-1623	169	25	⊕ω1	⊕ω1	NOUN
ejpam-1623	169	26	are	be	AUX
ejpam-1623	169	27	;	;	PUNCT
ejpam-1623	169	28	ϕ12	ϕ12	NOUN
ejpam-1623	169	29	=	=	NOUN
ejpam-1623	169	30	x1	x1	PROPN
ejpam-1623	170	1	x2	x2	PROPN
ejpam-1623	170	2	+	+	CCONJ
ejpam-1623	170	3	1	1	NUM
ejpam-1623	170	4	2.191	2.191	NUM
ejpam-1623	170	5	(	(	PUNCT
ejpam-1623	170	6	f1	f1	NOUN
ejpam-1623	170	7	⊕ω1),ϕ33	⊕ω1),ϕ33	NOUN
ejpam-1623	170	8	=	=	SYM
ejpam-1623	170	9	x2	x2	NOUN
ejpam-1623	171	1	3	3	NUM
ejpam-1623	171	2	−	−	PROPN
ejpam-1623	171	3	10	10	NUM
ejpam-1623	171	4	191	191	NUM
ejpam-1623	171	5	(	(	PUNCT
ejpam-1623	171	6	f1	f1	PROPN
ejpam-1623	171	7	⊕ω1	⊕ω1	NOUN
ejpam-1623	171	8	)	)	PUNCT
ejpam-1623	171	9	,	,	PUNCT
ejpam-1623	171	10	b.	b.	PROPN
ejpam-1623	171	11	köklüce	köklüce	PROPN
ejpam-1623	171	12	/	/	SYM
ejpam-1623	171	13	eur	eur	PROPN
ejpam-1623	171	14	.	.	PUNCT
ejpam-1623	172	1	j.	j.	PROPN
ejpam-1623	172	2	pure	pure	PROPN
ejpam-1623	172	3	appl	appl	PROPN
ejpam-1623	172	4	.	.	PROPN
ejpam-1623	172	5	math	math	PROPN
ejpam-1623	172	6	,	,	PUNCT
ejpam-1623	172	7	5	5	NUM
ejpam-1623	172	8	(	(	PUNCT
ejpam-1623	172	9	2012	2012	NUM
ejpam-1623	172	10	)	)	PUNCT
ejpam-1623	172	11	,	,	PUNCT
ejpam-1623	172	12	451	451	NUM
ejpam-1623	172	13	-	-	SYM
ejpam-1623	172	14	468	468	NUM
ejpam-1623	172	15	458	458	NUM
ejpam-1623	172	16	13	13	NUM
ejpam-1623	172	17	for	for	ADP
ejpam-1623	172	18	2(f1⊕π1	2(f1⊕π1	NUM
ejpam-1623	172	19	)	)	PUNCT
ejpam-1623	172	20	=	=	SYM
ejpam-1623	173	1	2x2	2x2	NUM
ejpam-1623	173	2	1	1	NUM
ejpam-1623	173	3	+	+	NUM
ejpam-1623	173	4	2x1x2	2x1x2	NUM
ejpam-1623	173	5	+	+	ADJ
ejpam-1623	173	6	96x2	96x2	PROPN
ejpam-1623	173	7	2	2	NUM
ejpam-1623	173	8	+	+	NOUN
ejpam-1623	173	9	12x2	12x2	NUM
ejpam-1623	173	10	3	3	NUM
ejpam-1623	173	11	+	+	NOUN
ejpam-1623	173	12	10x3x4	10x3x4	NUM
ejpam-1623	173	13	+	+	ADJ
ejpam-1623	173	14	18x2	18x2	NUM
ejpam-1623	173	15	4	4	NUM
ejpam-1623	173	16	the	the	DET
ejpam-1623	173	17	determinant	determinant	ADJ
ejpam-1623	173	18	d	d	NOUN
ejpam-1623	173	19	=	=	SYM
ejpam-1623	173	20	1912	1912	NUM
ejpam-1623	173	21	,	,	PUNCT
ejpam-1623	173	22	a22	a22	X
ejpam-1623	173	23	=	=	SYM
ejpam-1623	173	24	2.191	2.191	NUM
ejpam-1623	173	25	,	,	PUNCT
ejpam-1623	173	26	a34	a34	NOUN
ejpam-1623	173	27	=	=	SYM
ejpam-1623	173	28	−5.191	−5.191	PROPN
ejpam-1623	173	29	,	,	PUNCT
ejpam-1623	173	30	the	the	DET
ejpam-1623	173	31	spherical	spherical	ADJ
ejpam-1623	173	32	functions	function	NOUN
ejpam-1623	173	33	of	of	ADP
ejpam-1623	173	34	second	second	ADJ
ejpam-1623	173	35	order	order	NOUN
ejpam-1623	173	36	with	with	ADP
ejpam-1623	173	37	respect	respect	NOUN
ejpam-1623	173	38	to	to	ADP
ejpam-1623	173	39	f1	f1	NOUN
ejpam-1623	173	40	⊕π1	⊕π1	PROPN
ejpam-1623	173	41	are	be	AUX
ejpam-1623	173	42	;	;	PUNCT
ejpam-1623	173	43	ϕ22	ϕ22	PROPN
ejpam-1623	173	44	=	=	SYM
ejpam-1623	173	45	x2	x2	PROPN
ejpam-1623	173	46	2	2	NUM
ejpam-1623	173	47	−	−	NOUN
ejpam-1623	173	48	1	1	NUM
ejpam-1623	173	49	191	191	NUM
ejpam-1623	173	50	(	(	PUNCT
ejpam-1623	173	51	f1	f1	NOUN
ejpam-1623	173	52	⊕π1),ϕ34	⊕π1),ϕ34	PROPN
ejpam-1623	173	53	=	=	SYM
ejpam-1623	173	54	x3	x3	PROPN
ejpam-1623	173	55	x4	x4	PROPN
ejpam-1623	174	1	+	+	CCONJ
ejpam-1623	174	2	5	5	NUM
ejpam-1623	174	3	2.191	2.191	NUM
ejpam-1623	174	4	(	(	PUNCT
ejpam-1623	174	5	f1	f1	PROPN
ejpam-1623	174	6	⊕π1	⊕π1	PROPN
ejpam-1623	174	7	)	)	PUNCT
ejpam-1623	174	8	,	,	PUNCT
ejpam-1623	174	9	14	14	NUM
ejpam-1623	174	10	for	for	ADP
ejpam-1623	174	11	2(φ1⊕ψ1	2(φ1⊕ψ1	NUM
ejpam-1623	174	12	)	)	PUNCT
ejpam-1623	174	13	=	=	SYM
ejpam-1623	175	1	4x2	4x2	NUM
ejpam-1623	175	2	1	1	NUM
ejpam-1623	175	3	+	+	SYM
ejpam-1623	175	4	2x1	2x1	NUM
ejpam-1623	175	5	x2	x2	NUM
ejpam-1623	176	1	+	+	PROPN
ejpam-1623	176	2	48x2	48x2	PROPN
ejpam-1623	176	3	2	2	NUM
ejpam-1623	176	4	+	+	NOUN
ejpam-1623	176	5	6x2	6x2	NUM
ejpam-1623	176	6	3	3	NUM
ejpam-1623	176	7	+	+	SYM
ejpam-1623	176	8	2x3	2x3	NUM
ejpam-1623	176	9	x4	x4	ADV
ejpam-1623	176	10	+	+	PROPN
ejpam-1623	176	11	32x2	32x2	NUM
ejpam-1623	176	12	4	4	NUM
ejpam-1623	176	13	the	the	DET
ejpam-1623	176	14	determinant	determinant	ADJ
ejpam-1623	176	15	d	d	NOUN
ejpam-1623	176	16	=	=	SYM
ejpam-1623	176	17	1912	1912	NUM
ejpam-1623	176	18	,	,	PUNCT
ejpam-1623	176	19	a11	a11	PROPN
ejpam-1623	176	20	=	=	SYM
ejpam-1623	176	21	48.191	48.191	NUM
ejpam-1623	176	22	,	,	PUNCT
ejpam-1623	176	23	a22	a22	PROPN
ejpam-1623	176	24	=	=	SYM
ejpam-1623	176	25	4.191	4.191	NUM
ejpam-1623	176	26	,	,	PUNCT
ejpam-1623	176	27	the	the	DET
ejpam-1623	176	28	spherical	spherical	ADJ
ejpam-1623	176	29	functions	function	NOUN
ejpam-1623	176	30	of	of	ADP
ejpam-1623	176	31	second	second	ADJ
ejpam-1623	176	32	order	order	NOUN
ejpam-1623	176	33	with	with	ADP
ejpam-1623	176	34	respect	respect	NOUN
ejpam-1623	176	35	to	to	ADP
ejpam-1623	176	36	φ1	φ1	PROPN
ejpam-1623	176	37	⊕ψ1	⊕ψ1	NOUN
ejpam-1623	176	38	are	be	AUX
ejpam-1623	176	39	;	;	PUNCT
ejpam-1623	177	1	ϕ11	ϕ11	PROPN
ejpam-1623	177	2	=	=	SYM
ejpam-1623	177	3	x2	x2	PROPN
ejpam-1623	177	4	1	1	NUM
ejpam-1623	177	5	−	−	NUM
ejpam-1623	177	6	24	24	NUM
ejpam-1623	177	7	191	191	NUM
ejpam-1623	177	8	(	(	PUNCT
ejpam-1623	177	9	φ1	φ1	NOUN
ejpam-1623	177	10	⊕ψ1),ϕ22	⊕ψ1),ϕ22	NOUN
ejpam-1623	177	11	=	=	SYM
ejpam-1623	177	12	x2	x2	PROPN
ejpam-1623	177	13	2	2	NUM
ejpam-1623	177	14	−	−	NOUN
ejpam-1623	177	15	2	2	NUM
ejpam-1623	177	16	191	191	NUM
ejpam-1623	177	17	(	(	PUNCT
ejpam-1623	177	18	φ1	φ1	PROPN
ejpam-1623	177	19	⊕ψ1	⊕ψ1	PROPN
ejpam-1623	177	20	)	)	PUNCT
ejpam-1623	177	21	,	,	PUNCT
ejpam-1623	177	22	15	15	NUM
ejpam-1623	177	23	for	for	ADP
ejpam-1623	177	24	2(φ1	2(φ1	PROPN
ejpam-1623	177	25	⊕	⊕	PROPN
ejpam-1623	177	26	λ1	λ1	PROPN
ejpam-1623	177	27	)	)	PUNCT
ejpam-1623	177	28	=	=	SYM
ejpam-1623	177	29	4x2	4x2	NUM
ejpam-1623	177	30	1	1	NUM
ejpam-1623	177	31	+	+	NUM
ejpam-1623	177	32	2x1	2x1	NUM
ejpam-1623	177	33	x2	x2	NOUN
ejpam-1623	177	34	+	+	CCONJ
ejpam-1623	177	35	48x2	48x2	NUM
ejpam-1623	177	36	2	2	NUM
ejpam-1623	177	37	+	+	NUM
ejpam-1623	177	38	8x2	8x2	NUM
ejpam-1623	177	39	3	3	NUM
ejpam-1623	177	40	+	+	SYM
ejpam-1623	177	41	2x3	2x3	NUM
ejpam-1623	177	42	x4	x4	PROPN
ejpam-1623	177	43	+	+	PROPN
ejpam-1623	178	1	24x2	24x2	NUM
ejpam-1623	178	2	4	4	NUM
ejpam-1623	178	3	,	,	PUNCT
ejpam-1623	178	4	d	d	NOUN
ejpam-1623	178	5	=	=	SYM
ejpam-1623	178	6	1912	1912	NUM
ejpam-1623	178	7	,	,	PUNCT
ejpam-1623	178	8	a12	a12	NOUN
ejpam-1623	178	9	=	=	SYM
ejpam-1623	178	10	−191	−191	PROPN
ejpam-1623	178	11	,	,	PUNCT
ejpam-1623	178	12	a33	a33	NOUN
ejpam-1623	178	13	=	=	SYM
ejpam-1623	178	14	24.191	24.191	NUM
ejpam-1623	178	15	,	,	PUNCT
ejpam-1623	178	16	the	the	DET
ejpam-1623	178	17	spherical	spherical	ADJ
ejpam-1623	178	18	functions	function	NOUN
ejpam-1623	178	19	of	of	ADP
ejpam-1623	178	20	second	second	ADJ
ejpam-1623	178	21	order	order	NOUN
ejpam-1623	178	22	with	with	ADP
ejpam-1623	178	23	respect	respect	NOUN
ejpam-1623	178	24	to	to	ADP
ejpam-1623	178	25	φ1	φ1	PROPN
ejpam-1623	179	1	+	+	CCONJ
ejpam-1623	179	2	λ1	λ1	ADJ
ejpam-1623	179	3	are	be	AUX
ejpam-1623	179	4	;	;	PUNCT
ejpam-1623	179	5	ϕ12	ϕ12	NOUN
ejpam-1623	179	6	=	=	NOUN
ejpam-1623	179	7	x1	x1	PROPN
ejpam-1623	180	1	x2	x2	PROPN
ejpam-1623	180	2	+	+	CCONJ
ejpam-1623	180	3	1	1	NUM
ejpam-1623	180	4	2.191	2.191	NUM
ejpam-1623	180	5	(	(	PUNCT
ejpam-1623	180	6	φ1	φ1	PROPN
ejpam-1623	180	7	⊕λ1),ϕ33	⊕λ1),ϕ33	PROPN
ejpam-1623	181	1	=	=	SYM
ejpam-1623	181	2	x2	x2	PROPN
ejpam-1623	181	3	3	3	NUM
ejpam-1623	181	4	−	−	NOUN
ejpam-1623	181	5	12	12	NUM
ejpam-1623	181	6	191	191	NUM
ejpam-1623	181	7	(	(	PUNCT
ejpam-1623	181	8	φ1	φ1	PROPN
ejpam-1623	181	9	⊕λ1	⊕λ1	PROPN
ejpam-1623	181	10	)	)	PUNCT
ejpam-1623	181	11	,	,	PUNCT
ejpam-1623	181	12	16	16	NUM
ejpam-1623	181	13	for	for	ADP
ejpam-1623	181	14	2(φ1⊕υ1	2(φ1⊕υ1	NUM
ejpam-1623	181	15	)	)	PUNCT
ejpam-1623	181	16	=	=	SYM
ejpam-1623	182	1	4x2	4x2	NUM
ejpam-1623	182	2	1	1	NUM
ejpam-1623	183	1	+	+	NUM
ejpam-1623	183	2	2x1	2x1	NUM
ejpam-1623	183	3	x2	x2	NOUN
ejpam-1623	183	4	+	+	CCONJ
ejpam-1623	183	5	48x2	48x2	NUM
ejpam-1623	183	6	2	2	NUM
ejpam-1623	183	7	+	+	CCONJ
ejpam-1623	183	8	10x2	10x2	NUM
ejpam-1623	183	9	3	3	NUM
ejpam-1623	183	10	+	+	CCONJ
ejpam-1623	183	11	6x3	6x3	NUM
ejpam-1623	183	12	x4	x4	NOUN
ejpam-1623	183	13	+	+	X
ejpam-1623	183	14	20x2	20x2	NUM
ejpam-1623	183	15	4	4	NUM
ejpam-1623	183	16	,	,	PUNCT
ejpam-1623	183	17	d	d	NOUN
ejpam-1623	183	18	=	=	SYM
ejpam-1623	183	19	1912	1912	NUM
ejpam-1623	183	20	,	,	PUNCT
ejpam-1623	183	21	a12	a12	NOUN
ejpam-1623	183	22	=	=	SYM
ejpam-1623	183	23	−191	−191	PROPN
ejpam-1623	183	24	,	,	PUNCT
ejpam-1623	183	25	a22	a22	X
ejpam-1623	183	26	=	=	SYM
ejpam-1623	183	27	4.191	4.191	NUM
ejpam-1623	183	28	,	,	PUNCT
ejpam-1623	183	29	the	the	DET
ejpam-1623	183	30	spherical	spherical	ADJ
ejpam-1623	183	31	functions	function	NOUN
ejpam-1623	183	32	of	of	ADP
ejpam-1623	183	33	second	second	ADJ
ejpam-1623	183	34	order	order	NOUN
ejpam-1623	183	35	with	with	ADP
ejpam-1623	183	36	respect	respect	NOUN
ejpam-1623	183	37	to	to	ADP
ejpam-1623	183	38	φ1	φ1	PROPN
ejpam-1623	184	1	+	+	PROPN
ejpam-1623	184	2	υ1	υ1	PROPN
ejpam-1623	184	3	are	be	AUX
ejpam-1623	184	4	;	;	PUNCT
ejpam-1623	184	5	ϕ12	ϕ12	NOUN
ejpam-1623	184	6	=	=	NOUN
ejpam-1623	184	7	x1	x1	PROPN
ejpam-1623	185	1	x2	x2	PROPN
ejpam-1623	186	1	+	+	CCONJ
ejpam-1623	186	2	1	1	NUM
ejpam-1623	186	3	2.191	2.191	NUM
ejpam-1623	186	4	(	(	PUNCT
ejpam-1623	186	5	φ1	φ1	NOUN
ejpam-1623	186	6	⊕υ1),ϕ22	⊕υ1),ϕ22	PROPN
ejpam-1623	187	1	=	=	SYM
ejpam-1623	187	2	x2	x2	PROPN
ejpam-1623	187	3	2	2	NUM
ejpam-1623	187	4	−	−	NOUN
ejpam-1623	187	5	2	2	NUM
ejpam-1623	187	6	191	191	NUM
ejpam-1623	187	7	(	(	PUNCT
ejpam-1623	187	8	φ1	φ1	PROPN
ejpam-1623	187	9	⊕υ1	⊕υ1	NUM
ejpam-1623	187	10	)	)	PUNCT
ejpam-1623	187	11	.	.	PUNCT
ejpam-1623	188	1	17	17	NUM
ejpam-1623	188	2	for	for	ADP
ejpam-1623	188	3	2(φ1⊕ω1	2(φ1⊕ω1	NUM
ejpam-1623	188	4	)	)	PUNCT
ejpam-1623	188	5	=	=	SYM
ejpam-1623	189	1	4x2	4x2	NUM
ejpam-1623	189	2	1	1	NUM
ejpam-1623	189	3	+2x1x2	+2x1x2	NOUN
ejpam-1623	189	4	+	+	PROPN
ejpam-1623	189	5	48x2	48x2	PROPN
ejpam-1623	189	6	2	2	NUM
ejpam-1623	189	7	+	+	NOUN
ejpam-1623	189	8	12x2	12x2	NUM
ejpam-1623	189	9	3	3	NUM
ejpam-1623	189	10	+	+	NOUN
ejpam-1623	189	11	2x3x4	2x3x4	NUM
ejpam-1623	189	12	+	+	ADJ
ejpam-1623	189	13	16x2	16x2	NUM
ejpam-1623	189	14	4	4	NUM
ejpam-1623	189	15	,	,	PUNCT
ejpam-1623	189	16	d	d	NOUN
ejpam-1623	189	17	=	=	SYM
ejpam-1623	189	18	1912	1912	NUM
ejpam-1623	189	19	,	,	PUNCT
ejpam-1623	189	20	a33	a33	NOUN
ejpam-1623	189	21	=	=	SYM
ejpam-1623	189	22	16.191	16.191	NUM
ejpam-1623	189	23	,	,	PUNCT
ejpam-1623	189	24	a34	a34	NOUN
ejpam-1623	189	25	=	=	SYM
ejpam-1623	189	26	−191	−191	PROPN
ejpam-1623	189	27	,	,	PUNCT
ejpam-1623	189	28	the	the	DET
ejpam-1623	189	29	spherical	spherical	ADJ
ejpam-1623	189	30	functions	function	NOUN
ejpam-1623	189	31	of	of	ADP
ejpam-1623	189	32	second	second	ADJ
ejpam-1623	189	33	order	order	NOUN
ejpam-1623	189	34	with	with	ADP
ejpam-1623	189	35	respect	respect	NOUN
ejpam-1623	189	36	to	to	ADP
ejpam-1623	189	37	φ1	φ1	PROPN
ejpam-1623	189	38	⊕ω1	⊕ω1	NOUN
ejpam-1623	189	39	are	be	AUX
ejpam-1623	189	40	;	;	PUNCT
ejpam-1623	189	41	ϕ33	ϕ33	NOUN
ejpam-1623	189	42	=	=	SYM
ejpam-1623	190	1	x2	x2	PROPN
ejpam-1623	190	2	3	3	NUM
ejpam-1623	190	3	−	−	NOUN
ejpam-1623	190	4	8	8	NUM
ejpam-1623	190	5	191	191	NUM
ejpam-1623	190	6	(	(	PUNCT
ejpam-1623	190	7	φ1	φ1	NOUN
ejpam-1623	190	8	⊕ω1),ϕ34	⊕ω1),ϕ34	NOUN
ejpam-1623	190	9	=	=	PUNCT
ejpam-1623	190	10	x3	x3	PROPN
ejpam-1623	190	11	x4	x4	PROPN
ejpam-1623	191	1	+	+	CCONJ
ejpam-1623	191	2	1	1	NUM
ejpam-1623	191	3	2.191	2.191	NUM
ejpam-1623	191	4	(	(	PUNCT
ejpam-1623	191	5	φ1	φ1	PROPN
ejpam-1623	191	6	⊕ω1	⊕ω1	PROPN
ejpam-1623	191	7	)	)	PUNCT
ejpam-1623	191	8	.	.	PUNCT
ejpam-1623	192	1	18	18	NUM
ejpam-1623	192	2	for	for	ADP
ejpam-1623	192	3	2(φ1⊕π1	2(φ1⊕π1	NUM
ejpam-1623	192	4	)	)	PUNCT
ejpam-1623	192	5	=	=	SYM
ejpam-1623	193	1	4x2	4x2	NUM
ejpam-1623	193	2	1	1	NUM
ejpam-1623	193	3	+	+	NUM
ejpam-1623	193	4	2x1x2	2x1x2	NUM
ejpam-1623	193	5	+	+	ADJ
ejpam-1623	193	6	48x2	48x2	PROPN
ejpam-1623	193	7	2	2	NUM
ejpam-1623	193	8	+	+	NOUN
ejpam-1623	193	9	12x2	12x2	NUM
ejpam-1623	193	10	3	3	NUM
ejpam-1623	193	11	+	+	NOUN
ejpam-1623	193	12	10x3x4	10x3x4	NUM
ejpam-1623	193	13	+	+	ADJ
ejpam-1623	193	14	18x2	18x2	NUM
ejpam-1623	193	15	4	4	NUM
ejpam-1623	193	16	,	,	PUNCT
ejpam-1623	193	17	d	d	NOUN
ejpam-1623	193	18	=	=	SYM
ejpam-1623	193	19	1912	1912	NUM
ejpam-1623	193	20	,	,	PUNCT
ejpam-1623	193	21	a11	a11	PROPN
ejpam-1623	193	22	=	=	SYM
ejpam-1623	193	23	48.191	48.191	NUM
ejpam-1623	193	24	,	,	PUNCT
ejpam-1623	193	25	a33	a33	NOUN
ejpam-1623	193	26	=	=	SYM
ejpam-1623	193	27	18.191	18.191	NUM
ejpam-1623	193	28	,	,	PUNCT
ejpam-1623	193	29	the	the	DET
ejpam-1623	193	30	spherical	spherical	ADJ
ejpam-1623	193	31	functions	function	NOUN
ejpam-1623	193	32	of	of	ADP
ejpam-1623	193	33	second	second	ADJ
ejpam-1623	193	34	order	order	NOUN
ejpam-1623	193	35	with	with	ADP
ejpam-1623	193	36	respect	respect	NOUN
ejpam-1623	193	37	to	to	ADP
ejpam-1623	193	38	φ1	φ1	PROPN
ejpam-1623	193	39	⊕π1	⊕π1	PROPN
ejpam-1623	193	40	are	be	AUX
ejpam-1623	193	41	;	;	PUNCT
ejpam-1623	193	42	ϕ11	ϕ11	PROPN
ejpam-1623	193	43	=	=	SYM
ejpam-1623	193	44	x2	x2	PROPN
ejpam-1623	193	45	1	1	NUM
ejpam-1623	193	46	−	−	NUM
ejpam-1623	193	47	24	24	NUM
ejpam-1623	193	48	191	191	NUM
ejpam-1623	193	49	(	(	PUNCT
ejpam-1623	193	50	φ1⊕π1),ϕ33	φ1⊕π1),ϕ33	PROPN
ejpam-1623	193	51	=	=	SYM
ejpam-1623	193	52	x2	x2	PROPN
ejpam-1623	193	53	3	3	NUM
ejpam-1623	193	54	−	−	NOUN
ejpam-1623	193	55	9	9	NUM
ejpam-1623	193	56	191	191	NUM
ejpam-1623	193	57	(	(	PUNCT
ejpam-1623	193	58	φ1	φ1	PROPN
ejpam-1623	193	59	⊕π1	⊕π1	PROPN
ejpam-1623	193	60	)	)	PUNCT
ejpam-1623	193	61	.	.	PUNCT
ejpam-1623	194	1	19	19	NUM
ejpam-1623	194	2	for	for	ADP
ejpam-1623	194	3	2(ψ1	2(ψ1	NUM
ejpam-1623	194	4	⊕λ1	⊕λ1	NOUN
ejpam-1623	194	5	)	)	PUNCT
ejpam-1623	194	6	=	=	PUNCT
ejpam-1623	195	1	6x2	6x2	NUM
ejpam-1623	195	2	1	1	NUM
ejpam-1623	195	3	+	+	NUM
ejpam-1623	195	4	2x1	2x1	NUM
ejpam-1623	195	5	x2	x2	NOUN
ejpam-1623	196	1	+	+	CCONJ
ejpam-1623	196	2	32x2	32x2	NUM
ejpam-1623	196	3	2	2	NUM
ejpam-1623	196	4	+	+	NUM
ejpam-1623	196	5	8x2	8x2	NUM
ejpam-1623	196	6	3	3	NUM
ejpam-1623	196	7	+	+	SYM
ejpam-1623	196	8	2x3	2x3	NUM
ejpam-1623	196	9	x4	x4	PROPN
ejpam-1623	196	10	+	+	PROPN
ejpam-1623	197	1	24x2	24x2	NUM
ejpam-1623	197	2	4	4	NUM
ejpam-1623	197	3	,	,	PUNCT
ejpam-1623	197	4	d	d	NOUN
ejpam-1623	197	5	=	=	SYM
ejpam-1623	197	6	1912	1912	NUM
ejpam-1623	197	7	,	,	PUNCT
ejpam-1623	197	8	a12	a12	NOUN
ejpam-1623	197	9	=	=	SYM
ejpam-1623	197	10	−191	−191	PROPN
ejpam-1623	197	11	,	,	PUNCT
ejpam-1623	197	12	a22	a22	X
ejpam-1623	197	13	=	=	SYM
ejpam-1623	197	14	6.191	6.191	NUM
ejpam-1623	197	15	,	,	PUNCT
ejpam-1623	197	16	the	the	DET
ejpam-1623	197	17	spherical	spherical	ADJ
ejpam-1623	197	18	functions	function	NOUN
ejpam-1623	197	19	of	of	ADP
ejpam-1623	197	20	second	second	ADJ
ejpam-1623	197	21	order	order	NOUN
ejpam-1623	197	22	with	with	ADP
ejpam-1623	197	23	respect	respect	NOUN
ejpam-1623	197	24	to	to	ADP
ejpam-1623	197	25	ψ1⊕λ1	ψ1⊕λ1	NOUN
ejpam-1623	197	26	are	be	AUX
ejpam-1623	197	27	;	;	PUNCT
ejpam-1623	197	28	ϕ12	ϕ12	NOUN
ejpam-1623	197	29	=	=	NOUN
ejpam-1623	198	1	x1	x1	PROPN
ejpam-1623	199	1	x2	x2	PROPN
ejpam-1623	200	1	+	+	CCONJ
ejpam-1623	200	2	1	1	NUM
ejpam-1623	200	3	2.191	2.191	NUM
ejpam-1623	200	4	(	(	PUNCT
ejpam-1623	200	5	ψ1⊕λ1),ϕ22	ψ1⊕λ1),ϕ22	NOUN
ejpam-1623	200	6	=	=	SYM
ejpam-1623	200	7	x2	x2	PROPN
ejpam-1623	200	8	2	2	NUM
ejpam-1623	200	9	−	−	NOUN
ejpam-1623	200	10	3	3	NUM
ejpam-1623	200	11	191	191	NUM
ejpam-1623	200	12	(	(	PUNCT
ejpam-1623	200	13	ψ1⊕λ1	ψ1⊕λ1	NOUN
ejpam-1623	200	14	)	)	PUNCT
ejpam-1623	200	15	,	,	PUNCT
ejpam-1623	200	16	20	20	NUM
ejpam-1623	200	17	for	for	ADP
ejpam-1623	200	18	2(ψ1⊕υ1	2(ψ1⊕υ1	NUM
ejpam-1623	200	19	)	)	PUNCT
ejpam-1623	200	20	=	=	SYM
ejpam-1623	201	1	6x2	6x2	NUM
ejpam-1623	201	2	1	1	NUM
ejpam-1623	201	3	+	+	NUM
ejpam-1623	201	4	2x1x2	2x1x2	NUM
ejpam-1623	201	5	+	+	ADJ
ejpam-1623	201	6	32x2	32x2	NUM
ejpam-1623	201	7	2	2	NUM
ejpam-1623	201	8	+	+	NOUN
ejpam-1623	201	9	10x2	10x2	NUM
ejpam-1623	201	10	3	3	NUM
ejpam-1623	201	11	+	+	SYM
ejpam-1623	201	12	6x3	6x3	NUM
ejpam-1623	201	13	x4	x4	NOUN
ejpam-1623	201	14	+	+	PROPN
ejpam-1623	201	15	20x2	20x2	NUM
ejpam-1623	201	16	4	4	NUM
ejpam-1623	201	17	,	,	PUNCT
ejpam-1623	201	18	d	d	NOUN
ejpam-1623	201	19	=	=	SYM
ejpam-1623	201	20	1912	1912	NUM
ejpam-1623	201	21	,	,	PUNCT
ejpam-1623	201	22	a33	a33	X
ejpam-1623	201	23	=	=	SYM
ejpam-1623	201	24	20.191	20.191	NUM
ejpam-1623	201	25	,	,	PUNCT
ejpam-1623	201	26	a44	a44	PROPN
ejpam-1623	201	27	=	=	SYM
ejpam-1623	201	28	10.191	10.191	NUM
ejpam-1623	201	29	,	,	PUNCT
ejpam-1623	201	30	the	the	DET
ejpam-1623	201	31	spherical	spherical	ADJ
ejpam-1623	201	32	functions	function	NOUN
ejpam-1623	201	33	of	of	ADP
ejpam-1623	201	34	second	second	ADJ
ejpam-1623	201	35	order	order	NOUN
ejpam-1623	201	36	with	with	ADP
ejpam-1623	201	37	respect	respect	NOUN
ejpam-1623	201	38	to	to	ADP
ejpam-1623	201	39	ψ1	ψ1	VERB
ejpam-1623	201	40	⊕υ1	⊕υ1	NOUN
ejpam-1623	201	41	are	be	AUX
ejpam-1623	201	42	;	;	PUNCT
ejpam-1623	201	43	ϕ33	ϕ33	NOUN
ejpam-1623	201	44	=	=	SYM
ejpam-1623	201	45	x2	x2	PROPN
ejpam-1623	201	46	3	3	NUM
ejpam-1623	202	1	−	−	PROPN
ejpam-1623	202	2	10	10	NUM
ejpam-1623	202	3	191	191	NUM
ejpam-1623	202	4	(	(	PUNCT
ejpam-1623	202	5	ψ1⊕υ1),ϕ44	ψ1⊕υ1),ϕ44	PROPN
ejpam-1623	202	6	=	=	SYM
ejpam-1623	202	7	x2	x2	PROPN
ejpam-1623	202	8	4	4	NUM
ejpam-1623	202	9	−	−	NOUN
ejpam-1623	202	10	5	5	NUM
ejpam-1623	202	11	191	191	NUM
ejpam-1623	202	12	(	(	PUNCT
ejpam-1623	202	13	ψ1⊕υ1	ψ1⊕υ1	NOUN
ejpam-1623	202	14	)	)	PUNCT
ejpam-1623	202	15	.	.	PUNCT
ejpam-1623	203	1	b.	b.	PROPN
ejpam-1623	203	2	köklüce	köklüce	PROPN
ejpam-1623	203	3	/	/	SYM
ejpam-1623	203	4	eur	eur	PROPN
ejpam-1623	203	5	.	.	PUNCT
ejpam-1623	204	1	j.	j.	PROPN
ejpam-1623	204	2	pure	pure	PROPN
ejpam-1623	204	3	appl	appl	PROPN
ejpam-1623	204	4	.	.	PROPN
ejpam-1623	204	5	math	math	PROPN
ejpam-1623	204	6	,	,	PUNCT
ejpam-1623	204	7	5	5	NUM
ejpam-1623	204	8	(	(	PUNCT
ejpam-1623	204	9	2012	2012	NUM
ejpam-1623	204	10	)	)	PUNCT
ejpam-1623	204	11	,	,	PUNCT
ejpam-1623	204	12	451	451	NUM
ejpam-1623	204	13	-	-	SYM
ejpam-1623	204	14	468	468	NUM
ejpam-1623	204	15	459	459	NUM
ejpam-1623	204	16	21	21	NUM
ejpam-1623	204	17	for	for	ADP
ejpam-1623	204	18	2(ψ1⊕ω1	2(ψ1⊕ω1	NUM
ejpam-1623	204	19	)	)	PUNCT
ejpam-1623	204	20	=	=	SYM
ejpam-1623	205	1	6x2	6x2	NUM
ejpam-1623	205	2	1	1	NUM
ejpam-1623	205	3	+	+	NUM
ejpam-1623	205	4	2x1x2	2x1x2	NUM
ejpam-1623	205	5	+	+	CCONJ
ejpam-1623	205	6	32x2	32x2	NUM
ejpam-1623	205	7	2	2	NUM
ejpam-1623	205	8	+	+	NUM
ejpam-1623	205	9	12x2	12x2	NUM
ejpam-1623	205	10	3	3	NUM
ejpam-1623	205	11	+	+	SYM
ejpam-1623	205	12	2x3	2x3	NUM
ejpam-1623	205	13	x4	x4	ADV
ejpam-1623	205	14	+	+	CCONJ
ejpam-1623	205	15	16x2	16x2	NUM
ejpam-1623	205	16	4	4	NUM
ejpam-1623	205	17	,	,	PUNCT
ejpam-1623	205	18	d	d	NOUN
ejpam-1623	205	19	=	=	SYM
ejpam-1623	205	20	1912	1912	NUM
ejpam-1623	205	21	,	,	PUNCT
ejpam-1623	205	22	a12	a12	NOUN
ejpam-1623	205	23	=	=	SYM
ejpam-1623	205	24	−191	−191	PROPN
ejpam-1623	205	25	,	,	PUNCT
ejpam-1623	205	26	a33	a33	NOUN
ejpam-1623	205	27	=	=	SYM
ejpam-1623	205	28	16.191	16.191	NUM
ejpam-1623	205	29	,	,	PUNCT
ejpam-1623	205	30	the	the	DET
ejpam-1623	205	31	spherical	spherical	ADJ
ejpam-1623	205	32	functions	function	NOUN
ejpam-1623	205	33	of	of	ADP
ejpam-1623	205	34	second	second	ADJ
ejpam-1623	205	35	order	order	NOUN
ejpam-1623	205	36	with	with	ADP
ejpam-1623	205	37	respect	respect	NOUN
ejpam-1623	205	38	to	to	ADP
ejpam-1623	205	39	ψ1	ψ1	ADJ
ejpam-1623	205	40	⊕ω1	⊕ω1	NOUN
ejpam-1623	205	41	are	be	AUX
ejpam-1623	205	42	;	;	PUNCT
ejpam-1623	205	43	ϕ12	ϕ12	NOUN
ejpam-1623	205	44	=	=	NOUN
ejpam-1623	205	45	x1	x1	PROPN
ejpam-1623	206	1	x2	x2	PROPN
ejpam-1623	206	2	+	+	CCONJ
ejpam-1623	206	3	1	1	NUM
ejpam-1623	206	4	2.191	2.191	NUM
ejpam-1623	206	5	(	(	PUNCT
ejpam-1623	206	6	ψ1	ψ1	ADJ
ejpam-1623	206	7	⊕ω1),ϕ33	⊕ω1),ϕ33	NOUN
ejpam-1623	206	8	=	=	SYM
ejpam-1623	207	1	x2	x2	NOUN
ejpam-1623	207	2	3	3	NUM
ejpam-1623	207	3	−	−	NOUN
ejpam-1623	207	4	8	8	NUM
ejpam-1623	207	5	191	191	NUM
ejpam-1623	207	6	(	(	PUNCT
ejpam-1623	207	7	ψ1⊕ω1	ψ1⊕ω1	NOUN
ejpam-1623	207	8	)	)	PUNCT
ejpam-1623	207	9	.	.	PUNCT
ejpam-1623	208	1	22	22	NUM
ejpam-1623	208	2	for	for	ADP
ejpam-1623	208	3	2(ψ1⊕π1	2(ψ1⊕π1	NUM
ejpam-1623	208	4	)	)	PUNCT
ejpam-1623	208	5	=	=	PUNCT
ejpam-1623	209	1	6x2	6x2	NUM
ejpam-1623	209	2	1	1	NUM
ejpam-1623	209	3	+	+	SYM
ejpam-1623	209	4	2x1	2x1	NUM
ejpam-1623	209	5	x2	x2	NUM
ejpam-1623	209	6	+	+	PROPN
ejpam-1623	209	7	32x2	32x2	NUM
ejpam-1623	209	8	2	2	NUM
ejpam-1623	209	9	+	+	NOUN
ejpam-1623	209	10	12x2	12x2	NUM
ejpam-1623	209	11	3	3	NUM
ejpam-1623	209	12	+	+	NOUN
ejpam-1623	209	13	10x3x4	10x3x4	NUM
ejpam-1623	209	14	+	+	ADJ
ejpam-1623	209	15	18x2	18x2	NUM
ejpam-1623	209	16	4	4	NUM
ejpam-1623	209	17	,	,	PUNCT
ejpam-1623	209	18	d	d	NOUN
ejpam-1623	209	19	=	=	SYM
ejpam-1623	209	20	1912	1912	NUM
ejpam-1623	209	21	,	,	PUNCT
ejpam-1623	209	22	a11	a11	PROPN
ejpam-1623	209	23	=	=	SYM
ejpam-1623	209	24	32.191	32.191	NUM
ejpam-1623	209	25	,	,	PUNCT
ejpam-1623	209	26	a34	a34	NOUN
ejpam-1623	209	27	=	=	SYM
ejpam-1623	209	28	−5.191	−5.191	PROPN
ejpam-1623	209	29	,	,	PUNCT
ejpam-1623	209	30	the	the	DET
ejpam-1623	209	31	spherical	spherical	ADJ
ejpam-1623	209	32	functions	function	NOUN
ejpam-1623	209	33	of	of	ADP
ejpam-1623	209	34	second	second	ADJ
ejpam-1623	209	35	order	order	NOUN
ejpam-1623	209	36	with	with	ADP
ejpam-1623	209	37	respect	respect	NOUN
ejpam-1623	209	38	to	to	ADP
ejpam-1623	209	39	ψ1	ψ1	VERB
ejpam-1623	209	40	⊕π1	⊕π1	PRON
ejpam-1623	209	41	are	be	AUX
ejpam-1623	209	42	;	;	PUNCT
ejpam-1623	209	43	ϕ11	ϕ11	PROPN
ejpam-1623	209	44	=	=	SYM
ejpam-1623	209	45	x2	x2	PROPN
ejpam-1623	209	46	1	1	NUM
ejpam-1623	209	47	−	−	NUM
ejpam-1623	209	48	16	16	NUM
ejpam-1623	209	49	191	191	NUM
ejpam-1623	209	50	(	(	PUNCT
ejpam-1623	209	51	ψ1⊕π1),ϕ34	ψ1⊕π1),ϕ34	NOUN
ejpam-1623	209	52	=	=	PUNCT
ejpam-1623	209	53	x3	x3	PROPN
ejpam-1623	209	54	x4	x4	PROPN
ejpam-1623	210	1	+	+	CCONJ
ejpam-1623	210	2	5	5	NUM
ejpam-1623	210	3	2.191	2.191	NUM
ejpam-1623	210	4	(	(	PUNCT
ejpam-1623	210	5	ψ1⊕π1	ψ1⊕π1	PROPN
ejpam-1623	210	6	)	)	PUNCT
ejpam-1623	210	7	.	.	PUNCT
ejpam-1623	211	1	23	23	NUM
ejpam-1623	211	2	for	for	ADP
ejpam-1623	211	3	2(λ1⊕υ1	2(λ1⊕υ1	NUM
ejpam-1623	211	4	)	)	PUNCT
ejpam-1623	211	5	=	=	PUNCT
ejpam-1623	212	1	8x2	8x2	NUM
ejpam-1623	212	2	1	1	NUM
ejpam-1623	212	3	+	+	NUM
ejpam-1623	212	4	2x1x2	2x1x2	NUM
ejpam-1623	212	5	+	+	ADJ
ejpam-1623	212	6	24x2	24x2	PROPN
ejpam-1623	212	7	2	2	NUM
ejpam-1623	212	8	+	+	NOUN
ejpam-1623	212	9	10x2	10x2	NUM
ejpam-1623	212	10	3	3	NUM
ejpam-1623	212	11	+	+	NOUN
ejpam-1623	212	12	6x3x4	6x3x4	NOUN
ejpam-1623	212	13	+	+	NOUN
ejpam-1623	212	14	20x2	20x2	NUM
ejpam-1623	212	15	4	4	NUM
ejpam-1623	212	16	,	,	PUNCT
ejpam-1623	212	17	d	d	NOUN
ejpam-1623	212	18	=	=	SYM
ejpam-1623	212	19	1912	1912	NUM
ejpam-1623	212	20	,	,	PUNCT
ejpam-1623	212	21	a11	a11	PROPN
ejpam-1623	212	22	=	=	SYM
ejpam-1623	212	23	24.191	24.191	NUM
ejpam-1623	212	24	,	,	PUNCT
ejpam-1623	212	25	a22	a22	PROPN
ejpam-1623	212	26	=	=	SYM
ejpam-1623	212	27	8.191	8.191	NUM
ejpam-1623	212	28	,	,	PUNCT
ejpam-1623	212	29	the	the	DET
ejpam-1623	212	30	spherical	spherical	ADJ
ejpam-1623	212	31	functions	function	NOUN
ejpam-1623	212	32	of	of	ADP
ejpam-1623	212	33	second	second	ADJ
ejpam-1623	212	34	order	order	NOUN
ejpam-1623	212	35	with	with	ADP
ejpam-1623	212	36	respect	respect	NOUN
ejpam-1623	212	37	to	to	ADP
ejpam-1623	212	38	λ1	λ1	PROPN
ejpam-1623	212	39	⊕υ1	⊕υ1	NOUN
ejpam-1623	212	40	are	be	AUX
ejpam-1623	212	41	;	;	PUNCT
ejpam-1623	212	42	ϕ11	ϕ11	PROPN
ejpam-1623	212	43	=	=	SYM
ejpam-1623	212	44	x2	x2	PROPN
ejpam-1623	212	45	1	1	NUM
ejpam-1623	212	46	−	−	NOUN
ejpam-1623	212	47	12	12	NUM
ejpam-1623	212	48	191	191	NUM
ejpam-1623	212	49	(	(	PUNCT
ejpam-1623	212	50	λ1	λ1	PROPN
ejpam-1623	212	51	⊕υ1),ϕ22	⊕υ1),ϕ22	NOUN
ejpam-1623	213	1	=	=	SYM
ejpam-1623	213	2	x2	x2	PROPN
ejpam-1623	213	3	2	2	NUM
ejpam-1623	213	4	−	−	NOUN
ejpam-1623	213	5	4	4	NUM
ejpam-1623	213	6	191	191	NUM
ejpam-1623	213	7	(	(	PUNCT
ejpam-1623	213	8	λ1	λ1	PROPN
ejpam-1623	213	9	⊕υ1	⊕υ1	NOUN
ejpam-1623	213	10	)	)	PUNCT
ejpam-1623	213	11	.	.	PUNCT
ejpam-1623	214	1	24	24	NUM
ejpam-1623	214	2	for	for	ADP
ejpam-1623	214	3	2(λ1+ω1	2(λ1+ω1	NUM
ejpam-1623	214	4	)	)	PUNCT
ejpam-1623	214	5	=	=	PUNCT
ejpam-1623	215	1	8x2	8x2	NUM
ejpam-1623	215	2	1	1	NUM
ejpam-1623	215	3	+2x1x2	+2x1x2	NOUN
ejpam-1623	215	4	+	+	PROPN
ejpam-1623	215	5	24x2	24x2	NUM
ejpam-1623	215	6	2	2	NUM
ejpam-1623	215	7	+	+	NOUN
ejpam-1623	215	8	12x2	12x2	NUM
ejpam-1623	215	9	3	3	NUM
ejpam-1623	215	10	+	+	NOUN
ejpam-1623	215	11	2x3x4	2x3x4	NUM
ejpam-1623	215	12	+	+	ADJ
ejpam-1623	215	13	16x2	16x2	NUM
ejpam-1623	215	14	4	4	NUM
ejpam-1623	215	15	,	,	PUNCT
ejpam-1623	215	16	d	d	NOUN
ejpam-1623	215	17	=	=	SYM
ejpam-1623	215	18	1912	1912	NUM
ejpam-1623	215	19	,	,	PUNCT
ejpam-1623	215	20	a33	a33	NOUN
ejpam-1623	215	21	=	=	SYM
ejpam-1623	215	22	16.191	16.191	NUM
ejpam-1623	215	23	,	,	PUNCT
ejpam-1623	215	24	a44	a44	PROPN
ejpam-1623	215	25	=	=	SYM
ejpam-1623	215	26	12.191	12.191	NUM
ejpam-1623	215	27	,	,	PUNCT
ejpam-1623	215	28	the	the	DET
ejpam-1623	215	29	spherical	spherical	ADJ
ejpam-1623	215	30	functions	function	NOUN
ejpam-1623	215	31	of	of	ADP
ejpam-1623	215	32	second	second	ADJ
ejpam-1623	215	33	order	order	NOUN
ejpam-1623	215	34	with	with	ADP
ejpam-1623	215	35	respect	respect	NOUN
ejpam-1623	215	36	to	to	ADP
ejpam-1623	215	37	λ1	λ1	PROPN
ejpam-1623	215	38	⊕ω1	⊕ω1	NOUN
ejpam-1623	215	39	are	be	AUX
ejpam-1623	215	40	;	;	PUNCT
ejpam-1623	215	41	ϕ33	ϕ33	NOUN
ejpam-1623	215	42	=	=	SYM
ejpam-1623	216	1	x2	x2	PROPN
ejpam-1623	216	2	3	3	NUM
ejpam-1623	216	3	−	−	NOUN
ejpam-1623	216	4	8	8	NUM
ejpam-1623	216	5	191	191	NUM
ejpam-1623	216	6	(	(	PUNCT
ejpam-1623	216	7	λ1	λ1	PROPN
ejpam-1623	216	8	⊕ω1),ϕ44	⊕ω1),ϕ44	NOUN
ejpam-1623	216	9	=	=	SYM
ejpam-1623	216	10	x2	x2	ADJ
ejpam-1623	216	11	4	4	NUM
ejpam-1623	216	12	−	−	NOUN
ejpam-1623	216	13	6	6	NUM
ejpam-1623	216	14	191	191	NUM
ejpam-1623	216	15	(	(	PUNCT
ejpam-1623	216	16	λ1	λ1	PROPN
ejpam-1623	216	17	⊕ω1	⊕ω1	NOUN
ejpam-1623	216	18	)	)	PUNCT
ejpam-1623	216	19	.	.	PUNCT
ejpam-1623	217	1	4	4	X
ejpam-1623	217	2	.	.	X
ejpam-1623	218	1	the	the	DET
ejpam-1623	218	2	solutions	solution	NOUN
ejpam-1623	218	3	of	of	ADP
ejpam-1623	218	4	q	q	NOUN
ejpam-1623	218	5	=	=	PUNCT
ejpam-1623	218	6	n	n	PROPN
ejpam-1623	218	7	and	and	CCONJ
ejpam-1623	218	8	the	the	DET
ejpam-1623	218	9	theta	theta	PROPN
ejpam-1623	218	10	series	series	NOUN
ejpam-1623	218	11	associated	associate	VERB
ejpam-1623	218	12	to	to	ADP
ejpam-1623	218	13	the	the	DET
ejpam-1623	218	14	quadratic	quadratic	ADJ
ejpam-1623	218	15	forms	form	NOUN
ejpam-1623	218	16	the	the	DET
ejpam-1623	218	17	equation	equation	NOUN
ejpam-1623	218	18	f1	f1	NOUN
ejpam-1623	218	19	=	=	SYM
ejpam-1623	218	20	x2	x2	NOUN
ejpam-1623	218	21	1	1	NUM
ejpam-1623	219	1	+	+	NUM
ejpam-1623	219	2	x1	x1	NUM
ejpam-1623	219	3	x2	x2	PROPN
ejpam-1623	219	4	+	+	CCONJ
ejpam-1623	219	5	48x2	48x2	NUM
ejpam-1623	219	6	2	2	NUM
ejpam-1623	219	7	=	=	SYM
ejpam-1623	219	8	n	n	NOUN
ejpam-1623	219	9	have	have	VERB
ejpam-1623	219	10	the	the	DET
ejpam-1623	219	11	following	follow	VERB
ejpam-1623	219	12	solutions	solution	NOUN
ejpam-1623	219	13	:	:	PUNCT
ejpam-1623	219	14	n	n	PROPN
ejpam-1623	219	15	=	=	SYM
ejpam-1623	219	16	1⇒	1⇒	PROPN
ejpam-1623	220	1	x1	x1	PROPN
ejpam-1623	220	2	=	=	SYM
ejpam-1623	220	3	±1	±1	PROPN
ejpam-1623	220	4	,	,	PUNCT
ejpam-1623	220	5	x2	x2	PROPN
ejpam-1623	220	6	=	=	SYM
ejpam-1623	220	7	0	0	NUM
ejpam-1623	221	1	n	n	NOUN
ejpam-1623	221	2	=	=	SYM
ejpam-1623	221	3	4⇒	4⇒	NUM
ejpam-1623	221	4	x1	x1	NOUN
ejpam-1623	221	5	=	=	PUNCT
ejpam-1623	221	6	±4	±4	NUM
ejpam-1623	221	7	,	,	PUNCT
ejpam-1623	221	8	x2	x2	PROPN
ejpam-1623	221	9	=	=	SYM
ejpam-1623	221	10	0	0	NUM
ejpam-1623	221	11	n	n	NOUN
ejpam-1623	221	12	=	=	SYM
ejpam-1623	221	13	9⇒	9⇒	NUM
ejpam-1623	221	14	x1	x1	NOUN
ejpam-1623	221	15	=	=	SYM
ejpam-1623	221	16	±3	±3	PROPN
ejpam-1623	221	17	,	,	PUNCT
ejpam-1623	221	18	x2	x2	PROPN
ejpam-1623	221	19	=	=	SYM
ejpam-1623	221	20	0	0	NUM
ejpam-1623	221	21	n	n	PROPN
ejpam-1623	221	22	=	=	SYM
ejpam-1623	221	23	16⇒	16⇒	NUM
ejpam-1623	221	24	x1	x1	PROPN
ejpam-1623	221	25	=	=	PUNCT
ejpam-1623	221	26	±4	±4	NUM
ejpam-1623	221	27	,	,	PUNCT
ejpam-1623	221	28	x2	x2	PROPN
ejpam-1623	221	29	=	=	SYM
ejpam-1623	221	30	0	0	NUM
ejpam-1623	221	31	n	n	PROPN
ejpam-1623	221	32	=	=	SYM
ejpam-1623	221	33	25⇒	25⇒	NUM
ejpam-1623	221	34	x1	x1	NOUN
ejpam-1623	221	35	=	=	SYM
ejpam-1623	221	36	±5	±5	NOUN
ejpam-1623	221	37	,	,	PUNCT
ejpam-1623	221	38	x2	x2	PROPN
ejpam-1623	221	39	=	=	SYM
ejpam-1623	221	40	0	0	NUM
ejpam-1623	221	41	n	n	PROPN
ejpam-1623	221	42	=	=	SYM
ejpam-1623	221	43	36⇒	36⇒	NUM
ejpam-1623	221	44	x1	x1	PROPN
ejpam-1623	221	45	=	=	SYM
ejpam-1623	221	46	±6	±6	PROPN
ejpam-1623	221	47	,	,	PUNCT
ejpam-1623	221	48	x2	x2	NOUN
ejpam-1623	221	49	=	=	NOUN
ejpam-1623	221	50	0	0	PUNCT
ejpam-1623	222	1	and	and	CCONJ
ejpam-1623	222	2	there	there	PRON
ejpam-1623	222	3	is	be	VERB
ejpam-1623	222	4	no	no	DET
ejpam-1623	222	5	integral	integral	ADJ
ejpam-1623	222	6	solutions	solution	NOUN
ejpam-1623	222	7	for	for	ADP
ejpam-1623	222	8	:	:	PUNCT
ejpam-1623	222	9	n	n	PROPN
ejpam-1623	222	10	=	=	SYM
ejpam-1623	222	11	2	2	NUM
ejpam-1623	222	12	,	,	PUNCT
ejpam-1623	222	13	3	3	NUM
ejpam-1623	222	14	,	,	PUNCT
ejpam-1623	222	15	5	5	NUM
ejpam-1623	222	16	,	,	PUNCT
ejpam-1623	222	17	6	6	NUM
ejpam-1623	222	18	,	,	PUNCT
ejpam-1623	222	19	7	7	NUM
ejpam-1623	222	20	,	,	PUNCT
ejpam-1623	222	21	8	8	NUM
ejpam-1623	222	22	,	,	PUNCT
ejpam-1623	222	23	10	10	NUM
ejpam-1623	222	24	,	,	PUNCT
ejpam-1623	222	25	11	11	NUM
ejpam-1623	222	26	,	,	PUNCT
ejpam-1623	222	27	12	12	NUM
ejpam-1623	222	28	,	,	PUNCT
ejpam-1623	222	29	13	13	NUM
ejpam-1623	222	30	,	,	PUNCT
ejpam-1623	222	31	14	14	NUM
ejpam-1623	222	32	,	,	PUNCT
ejpam-1623	222	33	15	15	NUM
ejpam-1623	222	34	,	,	PUNCT
ejpam-1623	222	35	17	17	NUM
ejpam-1623	222	36	,	,	PUNCT
ejpam-1623	222	37	18	18	NUM
ejpam-1623	222	38	,	,	PUNCT
ejpam-1623	222	39	19	19	NUM
ejpam-1623	222	40	,	,	PUNCT
ejpam-1623	222	41	20	20	NUM
ejpam-1623	222	42	,	,	PUNCT
ejpam-1623	222	43	21	21	NUM
ejpam-1623	222	44	,	,	PUNCT
ejpam-1623	222	45	22	22	NUM
ejpam-1623	222	46	,	,	PUNCT
ejpam-1623	222	47	23	23	NUM
ejpam-1623	222	48	,	,	PUNCT
ejpam-1623	222	49	24	24	NUM
ejpam-1623	222	50	,	,	PUNCT
ejpam-1623	222	51	26	26	NUM
ejpam-1623	222	52	,	,	PUNCT
ejpam-1623	222	53	27	27	NUM
ejpam-1623	222	54	,	,	PUNCT
ejpam-1623	222	55	28	28	NUM
ejpam-1623	222	56	,	,	PUNCT
ejpam-1623	222	57	29	29	NUM
ejpam-1623	222	58	,	,	PUNCT
ejpam-1623	222	59	30	30	NUM
ejpam-1623	222	60	,	,	PUNCT
ejpam-1623	222	61	31	31	NUM
ejpam-1623	222	62	,	,	PUNCT
ejpam-1623	222	63	32	32	NUM
ejpam-1623	222	64	,	,	PUNCT
ejpam-1623	222	65	33	33	NUM
ejpam-1623	222	66	,	,	PUNCT
ejpam-1623	222	67	34	34	NUM
ejpam-1623	222	68	,	,	PUNCT
ejpam-1623	222	69	35	35	NUM
ejpam-1623	222	70	,	,	PUNCT
ejpam-1623	222	71	37	37	NUM
ejpam-1623	222	72	,	,	PUNCT
ejpam-1623	222	73	38	38	NUM
ejpam-1623	222	74	,	,	PUNCT
ejpam-1623	222	75	39	39	NUM
ejpam-1623	222	76	,	,	PUNCT
ejpam-1623	222	77	40	40	NUM
ejpam-1623	222	78	,	,	PUNCT
ejpam-1623	222	79	41	41	NUM
ejpam-1623	222	80	,	,	PUNCT
ejpam-1623	222	81	42	42	NUM
ejpam-1623	222	82	,	,	PUNCT
ejpam-1623	222	83	43	43	NUM
ejpam-1623	222	84	,	,	PUNCT
ejpam-1623	222	85	44	44	NUM
ejpam-1623	222	86	,	,	PUNCT
ejpam-1623	222	87	45	45	NUM
ejpam-1623	222	88	,	,	PUNCT
ejpam-1623	222	89	46	46	NUM
ejpam-1623	222	90	,	,	PUNCT
ejpam-1623	222	91	47	47	NUM
ejpam-1623	222	92	.	.	PUNCT
ejpam-1623	223	1	thus	thus	ADV
ejpam-1623	223	2	the	the	DET
ejpam-1623	223	3	theta	theta	PROPN
ejpam-1623	223	4	series	series	NOUN
ejpam-1623	223	5	of	of	ADP
ejpam-1623	223	6	f1	f1	PROPN
ejpam-1623	223	7	is	be	AUX
ejpam-1623	223	8	given	give	VERB
ejpam-1623	223	9	by	by	ADP
ejpam-1623	223	10	θf1	θf1	PROPN
ejpam-1623	223	11	(	(	PUNCT
ejpam-1623	223	12	q	q	NOUN
ejpam-1623	223	13	)	)	PUNCT
ejpam-1623	223	14	=	=	SYM
ejpam-1623	224	1	1	1	NUM
ejpam-1623	224	2	+	+	NUM
ejpam-1623	224	3	2q+	2q+	NUM
ejpam-1623	224	4	2q4	2q4	NUM
ejpam-1623	224	5	+	+	NUM
ejpam-1623	225	1	2q9	2q9	NUM
ejpam-1623	225	2	+	+	NUM
ejpam-1623	225	3	2q16	2q16	NUM
ejpam-1623	225	4	+	+	CCONJ
ejpam-1623	225	5	2q25	2q25	NOUN
ejpam-1623	225	6	+	+	CCONJ
ejpam-1623	225	7	2q36	2q36	NUM
ejpam-1623	225	8	+	+	NUM
ejpam-1623	225	9	.	.	PUNCT
ejpam-1623	225	10	.	.	PUNCT
ejpam-1623	225	11	.	.	PUNCT
ejpam-1623	226	1	by	by	ADP
ejpam-1623	226	2	a	a	DET
ejpam-1623	226	3	similar	similar	ADJ
ejpam-1623	226	4	way	way	NOUN
ejpam-1623	226	5	theta	theta	PROPN
ejpam-1623	226	6	series	series	NOUN
ejpam-1623	226	7	of	of	ADP
ejpam-1623	226	8	φ1	φ1	PROPN
ejpam-1623	226	9	,	,	PUNCT
ejpam-1623	226	10	ψ1	ψ1	NOUN
ejpam-1623	226	11	,	,	PUNCT
ejpam-1623	226	12	λ1	λ1	ADJ
ejpam-1623	226	13	,	,	PUNCT
ejpam-1623	226	14	υ1	υ1	PROPN
ejpam-1623	226	15	,	,	PUNCT
ejpam-1623	226	16	ω1	ω1	PROPN
ejpam-1623	226	17	,	,	PUNCT
ejpam-1623	226	18	and	and	CCONJ
ejpam-1623	226	19	π1	π1	NOUN
ejpam-1623	226	20	are	be	AUX
ejpam-1623	226	21	obtained	obtain	VERB
ejpam-1623	226	22	as	as	ADP
ejpam-1623	226	23	follows	follow	VERB
ejpam-1623	226	24	:	:	PUNCT
ejpam-1623	226	25	θφ1	θφ1	X
ejpam-1623	226	26	(	(	PUNCT
ejpam-1623	226	27	q	q	NOUN
ejpam-1623	226	28	)	)	PUNCT
ejpam-1623	226	29	=	=	SYM
ejpam-1623	226	30	1	1	NUM
ejpam-1623	226	31	+	+	NUM
ejpam-1623	226	32	2q2	2q2	NUM
ejpam-1623	226	33	+	+	SYM
ejpam-1623	226	34	2q8	2q8	NUM
ejpam-1623	226	35	+	+	NUM
ejpam-1623	226	36	2q18	2q18	NUM
ejpam-1623	226	37	+	+	CCONJ
ejpam-1623	226	38	2q24	2q24	NOUN
ejpam-1623	226	39	+	+	CCONJ
ejpam-1623	226	40	2q25	2q25	NOUN
ejpam-1623	226	41	+	+	CCONJ
ejpam-1623	226	42	2q27	2q27	NOUN
ejpam-1623	226	43	+	+	NUM
ejpam-1623	226	44	2q30	2q30	NUM
ejpam-1623	226	45	+	+	CCONJ
ejpam-1623	226	46	2q32	2q32	NOUN
ejpam-1623	226	47	+	+	CCONJ
ejpam-1623	226	48	2q34	2q34	NOUN
ejpam-1623	227	1	+	+	CCONJ
ejpam-1623	227	2	2q39	2q39	NUM
ejpam-1623	228	1	+	+	CCONJ
ejpam-1623	228	2	2q45	2q45	NUM
ejpam-1623	229	1	+	+	NUM
ejpam-1623	229	2	.	.	PUNCT
ejpam-1623	230	1	.	.	PUNCT
ejpam-1623	230	2	.	.	PUNCT
ejpam-1623	231	1	b.	b.	PROPN
ejpam-1623	231	2	köklüce	köklüce	PROPN
ejpam-1623	231	3	/	/	SYM
ejpam-1623	231	4	eur	eur	PROPN
ejpam-1623	231	5	.	.	PUNCT
ejpam-1623	232	1	j.	j.	PROPN
ejpam-1623	232	2	pure	pure	PROPN
ejpam-1623	232	3	appl	appl	PROPN
ejpam-1623	232	4	.	.	PROPN
ejpam-1623	232	5	math	math	PROPN
ejpam-1623	232	6	,	,	PUNCT
ejpam-1623	232	7	5	5	NUM
ejpam-1623	232	8	(	(	PUNCT
ejpam-1623	232	9	2012	2012	NUM
ejpam-1623	232	10	)	)	PUNCT
ejpam-1623	232	11	,	,	PUNCT
ejpam-1623	232	12	451	451	NUM
ejpam-1623	232	13	-	-	SYM
ejpam-1623	232	14	468	468	NUM
ejpam-1623	232	15	460	460	NUM
ejpam-1623	232	16	θψ1	θψ1	NOUN
ejpam-1623	232	17	(	(	PUNCT
ejpam-1623	232	18	q	q	X
ejpam-1623	232	19	)	)	PUNCT
ejpam-1623	232	20	=	=	SYM
ejpam-1623	233	1	1	1	NUM
ejpam-1623	233	2	+	+	NUM
ejpam-1623	233	3	2q3	2q3	NUM
ejpam-1623	233	4	+	+	CCONJ
ejpam-1623	233	5	2q12	2q12	NUM
ejpam-1623	233	6	+	+	CCONJ
ejpam-1623	233	7	2q16	2q16	NUM
ejpam-1623	233	8	+	+	CCONJ
ejpam-1623	233	9	2q18	2q18	NUM
ejpam-1623	233	10	+	+	X
ejpam-1623	233	11	2q20	2q20	NUM
ejpam-1623	233	12	+	+	CCONJ
ejpam-1623	233	13	2q26	2q26	NUM
ejpam-1623	233	14	+	+	NUM
ejpam-1623	233	15	2q27	2q27	NOUN
ejpam-1623	233	16	+	+	NUM
ejpam-1623	233	17	2q30	2q30	NUM
ejpam-1623	233	18	+	+	CCONJ
ejpam-1623	233	19	2q40	2q40	NUM
ejpam-1623	233	20	+	+	NUM
ejpam-1623	233	21	2q46	2q46	NUM
ejpam-1623	233	22	+	+	PUNCT
ejpam-1623	233	23	.	.	PUNCT
ejpam-1623	233	24	.	.	PUNCT
ejpam-1623	234	1	.	.	PUNCT
ejpam-1623	235	1	θλ1	θλ1	NOUN
ejpam-1623	235	2	(	(	PUNCT
ejpam-1623	235	3	q	q	X
ejpam-1623	235	4	)	)	PUNCT
ejpam-1623	235	5	=	=	SYM
ejpam-1623	235	6	1	1	NUM
ejpam-1623	235	7	+	+	NUM
ejpam-1623	235	8	2q4	2q4	NUM
ejpam-1623	235	9	+	+	CCONJ
ejpam-1623	235	10	2q12	2q12	NUM
ejpam-1623	235	11	+	+	X
ejpam-1623	235	12	2q15	2q15	NUM
ejpam-1623	235	13	+	+	CCONJ
ejpam-1623	235	14	2q16	2q16	NUM
ejpam-1623	235	15	+	+	SYM
ejpam-1623	235	16	2q17	2q17	NOUN
ejpam-1623	235	17	+	+	CCONJ
ejpam-1623	235	18	2q26	2q26	NUM
ejpam-1623	235	19	+	+	NUM
ejpam-1623	235	20	2q30	2q30	NUM
ejpam-1623	235	21	+	+	NUM
ejpam-1623	235	22	2q36	2q36	NUM
ejpam-1623	235	23	+	+	CCONJ
ejpam-1623	235	24	2q45	2q45	NUM
ejpam-1623	235	25	+	+	NUM
ejpam-1623	235	26	.	.	PUNCT
ejpam-1623	235	27	.	.	PUNCT
ejpam-1623	235	28	.	.	PUNCT
ejpam-1623	236	1	θυ1	θυ1	NOUN
ejpam-1623	236	2	(	(	PUNCT
ejpam-1623	236	3	q	q	X
ejpam-1623	236	4	)	)	PUNCT
ejpam-1623	236	5	=	=	SYM
ejpam-1623	237	1	1	1	NUM
ejpam-1623	237	2	+	+	NUM
ejpam-1623	237	3	2q5	2q5	NUM
ejpam-1623	237	4	+	+	NUM
ejpam-1623	237	5	2q10	2q10	ADJ
ejpam-1623	237	6	+	+	CCONJ
ejpam-1623	237	7	2q12	2q12	NUM
ejpam-1623	237	8	+	+	X
ejpam-1623	237	9	2q18	2q18	NUM
ejpam-1623	237	10	+	+	CCONJ
ejpam-1623	237	11	2q20	2q20	NUM
ejpam-1623	237	12	+	+	CCONJ
ejpam-1623	237	13	2q24	2q24	NUM
ejpam-1623	237	14	+	+	CCONJ
ejpam-1623	237	15	2q36	2q36	NUM
ejpam-1623	238	1	+	+	CCONJ
ejpam-1623	238	2	2q39	2q39	NUM
ejpam-1623	238	3	+	+	CCONJ
ejpam-1623	238	4	2q40	2q40	NUM
ejpam-1623	238	5	+	+	NUM
ejpam-1623	238	6	2q45	2q45	NUM
ejpam-1623	238	7	+	+	NUM
ejpam-1623	238	8	2q46	2q46	NUM
ejpam-1623	239	1	+	+	CCONJ
ejpam-1623	239	2	.	.	PUNCT
ejpam-1623	239	3	.	.	PUNCT
ejpam-1623	240	1	.	.	PUNCT
ejpam-1623	241	1	θω1	θω1	NOUN
ejpam-1623	241	2	(	(	PUNCT
ejpam-1623	241	3	q	q	X
ejpam-1623	241	4	)	)	PUNCT
ejpam-1623	241	5	=	=	SYM
ejpam-1623	242	1	1	1	NUM
ejpam-1623	242	2	+	+	NUM
ejpam-1623	242	3	2q6	2q6	NUM
ejpam-1623	242	4	+	+	CCONJ
ejpam-1623	242	5	2q8	2q8	NUM
ejpam-1623	242	6	+	+	NOUN
ejpam-1623	242	7	2q13	2q13	NUM
ejpam-1623	242	8	+	+	NOUN
ejpam-1623	242	9	2q15	2q15	NUM
ejpam-1623	242	10	+	+	CCONJ
ejpam-1623	242	11	2q24	2q24	NUM
ejpam-1623	242	12	+	+	NUM
ejpam-1623	242	13	2q30	2q30	NUM
ejpam-1623	242	14	+	+	CCONJ
ejpam-1623	242	15	2q32	2q32	NOUN
ejpam-1623	242	16	+	+	CCONJ
ejpam-1623	242	17	2q34	2q34	NOUN
ejpam-1623	242	18	+	+	CCONJ
ejpam-1623	242	19	2q36	2q36	NUM
ejpam-1623	243	1	+	+	CCONJ
ejpam-1623	243	2	2q40	2q40	NUM
ejpam-1623	243	3	+	+	NUM
ejpam-1623	243	4	.	.	PUNCT
ejpam-1623	243	5	.	.	PUNCT
ejpam-1623	244	1	.	.	PUNCT
ejpam-1623	245	1	θπ1	θπ1	NOUN
ejpam-1623	245	2	(	(	PUNCT
ejpam-1623	245	3	q	q	X
ejpam-1623	245	4	)	)	PUNCT
ejpam-1623	245	5	=	=	SYM
ejpam-1623	246	1	1	1	NUM
ejpam-1623	246	2	+	+	NUM
ejpam-1623	246	3	2q6	2q6	NUM
ejpam-1623	246	4	+	+	SYM
ejpam-1623	246	5	2q9	2q9	NUM
ejpam-1623	246	6	+	+	CCONJ
ejpam-1623	246	7	2q10	2q10	NUM
ejpam-1623	247	1	+	+	CCONJ
ejpam-1623	247	2	2q20	2q20	NUM
ejpam-1623	247	3	+	+	CCONJ
ejpam-1623	247	4	2q23	2q23	NUM
ejpam-1623	247	5	+	+	NOUN
ejpam-1623	247	6	2q24	2q24	NUM
ejpam-1623	247	7	+	+	CCONJ
ejpam-1623	247	8	2q32	2q32	NOUN
ejpam-1623	247	9	+	+	CCONJ
ejpam-1623	247	10	2q36	2q36	NUM
ejpam-1623	248	1	+	+	CCONJ
ejpam-1623	248	2	2q40	2q40	NUM
ejpam-1623	248	3	+	+	NUM
ejpam-1623	248	4	2q43	2q43	NUM
ejpam-1623	248	5	+	+	PUNCT
ejpam-1623	248	6	.	.	PUNCT
ejpam-1623	248	7	.	.	PUNCT
ejpam-1623	248	8	.	.	PUNCT
ejpam-1623	249	1	here	here	ADV
ejpam-1623	249	2	as	as	ADP
ejpam-1623	249	3	an	an	DET
ejpam-1623	249	4	example	example	NOUN
ejpam-1623	249	5	we	we	PRON
ejpam-1623	249	6	will	will	AUX
ejpam-1623	249	7	compute	compute	VERB
ejpam-1623	249	8	the	the	DET
ejpam-1623	249	9	theta	theta	NOUN
ejpam-1623	249	10	series	series	NOUN
ejpam-1623	249	11	of	of	ADP
ejpam-1623	249	12	f4	f4	PROPN
ejpam-1623	249	13	.	.	PUNCT
ejpam-1623	250	1	theta	theta	PROPN
ejpam-1623	250	2	series	series	PROPN
ejpam-1623	250	3	θq(q	θq(q	PROPN
ejpam-1623	250	4	)	)	PUNCT
ejpam-1623	250	5	for	for	ADP
ejpam-1623	250	6	any	any	DET
ejpam-1623	250	7	quadratic	quadratic	ADJ
ejpam-1623	250	8	form	form	NOUN
ejpam-1623	250	9	in	in	ADP
ejpam-1623	250	10	(	(	PUNCT
ejpam-1623	250	11	1	1	X
ejpam-1623	250	12	)	)	PUNCT
ejpam-1623	250	13	are	be	AUX
ejpam-1623	250	14	obtained	obtain	VERB
ejpam-1623	250	15	in	in	ADP
ejpam-1623	250	16	a	a	DET
ejpam-1623	250	17	similar	similar	ADJ
ejpam-1623	250	18	way	way	NOUN
ejpam-1623	250	19	.	.	PUNCT
ejpam-1623	251	1	θf4	θf4	NOUN
ejpam-1623	251	2	(	(	PUNCT
ejpam-1623	251	3	q	q	X
ejpam-1623	251	4	)	)	PUNCT
ejpam-1623	251	5	=	=	SYM
ejpam-1623	251	6	θf1	θf1	X
ejpam-1623	251	7	(	(	PUNCT
ejpam-1623	251	8	q).θf1	q).θf1	PROPN
ejpam-1623	251	9	(	(	PUNCT
ejpam-1623	251	10	q).θf1	q).θf1	PROPN
ejpam-1623	251	11	(	(	PUNCT
ejpam-1623	251	12	q	q	NOUN
ejpam-1623	251	13	)	)	PUNCT
ejpam-1623	251	14	·	·	PUNCT
ejpam-1623	251	15	θf1	θf1	X
ejpam-1623	251	16	(	(	PUNCT
ejpam-1623	251	17	q	q	NOUN
ejpam-1623	251	18	)	)	PUNCT
ejpam-1623	251	19	=	=	SYM
ejpam-1623	251	20	1	1	NUM
ejpam-1623	251	21	+	+	NUM
ejpam-1623	251	22	8q+	8q+	NUM
ejpam-1623	251	23	24q2	24q2	NUM
ejpam-1623	251	24	+	+	SYM
ejpam-1623	251	25	32q3	32q3	NUM
ejpam-1623	251	26	+	+	SYM
ejpam-1623	251	27	24q4	24q4	NUM
ejpam-1623	251	28	+	+	NUM
ejpam-1623	251	29	48q5	48q5	NUM
ejpam-1623	251	30	+	+	SYM
ejpam-1623	251	31	96q6	96q6	NUM
ejpam-1623	251	32	+	+	SYM
ejpam-1623	251	33	64q7	64q7	NUM
ejpam-1623	251	34	+	+	NUM
ejpam-1623	251	35	24q8	24q8	NUM
ejpam-1623	251	36	+	+	NUM
ejpam-1623	251	37	104q9	104q9	NUM
ejpam-1623	251	38	+	+	NOUN
ejpam-1623	251	39	144q10	144q10	NUM
ejpam-1623	251	40	+	+	NUM
ejpam-1623	251	41	96q11	96q11	NUM
ejpam-1623	251	42	+	+	NUM
ejpam-1623	251	43	96q12	96q12	NUM
ejpam-1623	251	44	+	+	SYM
ejpam-1623	251	45	112q13	112q13	NUM
ejpam-1623	251	46	+	+	NUM
ejpam-1623	251	47	192q14	192q14	NUM
ejpam-1623	251	48	+	+	NUM
ejpam-1623	251	49	192q15	192q15	NUM
ejpam-1623	251	50	+	+	NUM
ejpam-1623	251	51	24q16	24q16	NUM
ejpam-1623	251	52	+	+	SYM
ejpam-1623	251	53	144q17	144q17	NUM
ejpam-1623	251	54	+	+	SYM
ejpam-1623	251	55	312q18	312q18	NUM
ejpam-1623	251	56	+	+	NUM
ejpam-1623	251	57	160q19	160q19	NUM
ejpam-1623	251	58	+	+	NUM
ejpam-1623	251	59	144q20	144q20	NUM
ejpam-1623	251	60	+	+	NUM
ejpam-1623	251	61	256q21	256q21	NUM
ejpam-1623	251	62	+	+	NOUN
ejpam-1623	251	63	288q22	288q22	NUM
ejpam-1623	251	64	+	+	NUM
ejpam-1623	251	65	192q23	192q23	NUM
ejpam-1623	252	1	+	+	NUM
ejpam-1623	252	2	96q24	96q24	NUM
ejpam-1623	252	3	+	+	CCONJ
ejpam-1623	252	4	248q25	248q25	NUM
ejpam-1623	252	5	+	+	SYM
ejpam-1623	252	6	336q26	336q26	NUM
ejpam-1623	252	7	+	+	NUM
ejpam-1623	252	8	320q27	320q27	NUM
ejpam-1623	252	9	+	+	NUM
ejpam-1623	252	10	192q28	192q28	NUM
ejpam-1623	252	11	+	+	NUM
ejpam-1623	252	12	240q29	240q29	NUM
ejpam-1623	252	13	+	+	NOUN
ejpam-1623	252	14	576q30	576q30	NUM
ejpam-1623	252	15	+	+	NUM
ejpam-1623	252	16	256q31	256q31	NUM
ejpam-1623	252	17	+	+	NUM
ejpam-1623	252	18	24q32	24q32	NUM
ejpam-1623	252	19	+	+	SYM
ejpam-1623	252	20	384q33	384q33	NUM
ejpam-1623	252	21	+	+	SYM
ejpam-1623	252	22	432q34	432q34	NUM
ejpam-1623	252	23	+	+	NOUN
ejpam-1623	252	24	384q35	384q35	NUM
ejpam-1623	252	25	+	+	NUM
ejpam-1623	252	26	312q36	312q36	NUM
ejpam-1623	252	27	+	+	NUM
ejpam-1623	252	28	304q37	304q37	NUM
ejpam-1623	252	29	+	+	NUM
ejpam-1623	252	30	480q38	480q38	NUM
ejpam-1623	252	31	+	+	NUM
ejpam-1623	252	32	448q39	448q39	NUM
ejpam-1623	253	1	+	+	CCONJ
ejpam-1623	254	1	144q40	144q40	NUM
ejpam-1623	254	2	+	+	NOUN
ejpam-1623	254	3	336q41	336q41	NUM
ejpam-1623	254	4	+	+	NUM
ejpam-1623	254	5	768q42	768q42	NUM
ejpam-1623	254	6	+	+	NUM
ejpam-1623	254	7	352q43	352q43	NUM
ejpam-1623	254	8	+	+	NUM
ejpam-1623	254	9	288q44	288q44	NUM
ejpam-1623	254	10	+	+	NUM
ejpam-1623	254	11	624q45	624q45	NUM
ejpam-1623	254	12	+	+	SYM
ejpam-1623	254	13	576q46	576q46	NUM
ejpam-1623	254	14	+	+	NOUN
ejpam-1623	254	15	384q47	384q47	NUM
ejpam-1623	254	16	+	+	NUM
ejpam-1623	254	17	.	.	PUNCT
ejpam-1623	254	18	.	.	PUNCT
ejpam-1623	254	19	.	.	PUNCT
ejpam-1623	255	1	theorem	theorem	VERB
ejpam-1623	255	2	3	3	NUM
ejpam-1623	255	3	.	.	PUNCT
ejpam-1623	256	1	the	the	DET
ejpam-1623	256	2	following	follow	VERB
ejpam-1623	256	3	system	system	NOUN
ejpam-1623	256	4	of	of	ADP
ejpam-1623	256	5	generalized	generalized	ADJ
ejpam-1623	256	6	fourfold	fourfold	ADJ
ejpam-1623	256	7	theta	theta	NOUN
ejpam-1623	256	8	-	-	PUNCT
ejpam-1623	256	9	series	series	NOUN
ejpam-1623	256	10	is	be	AUX
ejpam-1623	256	11	a	a	DET
ejpam-1623	256	12	basis	basis	NOUN
ejpam-1623	256	13	of	of	ADP
ejpam-1623	256	14	s4(γ0(191	s4(γ0(191	PROPN
ejpam-1623	256	15	)	)	PUNCT
ejpam-1623	256	16	)	)	PUNCT
ejpam-1623	256	17	,	,	PUNCT
ejpam-1623	256	18	θf2,ϕ11	θf2,ϕ11	PROPN
ejpam-1623	256	19	(	(	PUNCT
ejpam-1623	256	20	q	q	NOUN
ejpam-1623	256	21	)	)	PUNCT
ejpam-1623	256	22	=	=	SYM
ejpam-1623	256	23	1	1	NUM
ejpam-1623	256	24	191	191	NUM
ejpam-1623	256	25	∞	∞	NUM
ejpam-1623	256	26	∑	∑	PUNCT
ejpam-1623	256	27	n=1	n=1	PROPN
ejpam-1623	256	28	∑	∑	ADV
ejpam-1623	256	29	f2	f2	PROPN
ejpam-1623	256	30	=	=	SYM
ejpam-1623	256	31	n	n	X
ejpam-1623	256	32	(	(	PUNCT
ejpam-1623	256	33	191x2	191x2	NUM
ejpam-1623	256	34	1	1	NUM
ejpam-1623	256	35	−	−	NUM
ejpam-1623	256	36	48f2)q	48f2)q	NUM
ejpam-1623	256	37	n	n	CCONJ
ejpam-1623	256	38	,	,	PUNCT
ejpam-1623	256	39	θφ2,ϕ11	θφ2,ϕ11	NOUN
ejpam-1623	256	40	(	(	PUNCT
ejpam-1623	256	41	q	q	X
ejpam-1623	256	42	)	)	PUNCT
ejpam-1623	256	43	=	=	SYM
ejpam-1623	256	44	1	1	NUM
ejpam-1623	256	45	191	191	NUM
ejpam-1623	256	46	∞	∞	NUM
ejpam-1623	256	47	∑	∑	PUNCT
ejpam-1623	256	48	n=1	n=1	PROPN
ejpam-1623	256	49	∑	∑	PART
ejpam-1623	256	50	φ2	φ2	PROPN
ejpam-1623	256	51	=	=	SYM
ejpam-1623	256	52	n	n	X
ejpam-1623	256	53	(	(	PUNCT
ejpam-1623	256	54	191x2	191x2	NUM
ejpam-1623	256	55	1	1	NUM
ejpam-1623	256	56	−	−	NUM
ejpam-1623	256	57	24φ2)q	24φ2)q	NUM
ejpam-1623	256	58	n	n	CCONJ
ejpam-1623	256	59	,	,	PUNCT
ejpam-1623	256	60	θφ2,ϕ12	θφ2,ϕ12	NOUN
ejpam-1623	256	61	(	(	PUNCT
ejpam-1623	256	62	q	q	X
ejpam-1623	256	63	)	)	PUNCT
ejpam-1623	256	64	=	=	SYM
ejpam-1623	256	65	1	1	NUM
ejpam-1623	256	66	191	191	NUM
ejpam-1623	256	67	∞	∞	NUM
ejpam-1623	256	68	∑	∑	PUNCT
ejpam-1623	256	69	n=1	n=1	PROPN
ejpam-1623	256	70	∑	∑	PART
ejpam-1623	256	71	φ2	φ2	PROPN
ejpam-1623	256	72	=	=	SYM
ejpam-1623	256	73	n	n	X
ejpam-1623	256	74	(	(	PUNCT
ejpam-1623	256	75	191x1x2	191x1x2	NUM
ejpam-1623	256	76	+	+	CCONJ
ejpam-1623	256	77	1	1	NUM
ejpam-1623	256	78	2	2	NUM
ejpam-1623	256	79	φ2)q	φ2)q	NOUN
ejpam-1623	256	80	n	n	CCONJ
ejpam-1623	256	81	,	,	PUNCT
ejpam-1623	256	82	θψ2,ϕ22	θψ2,ϕ22	X
ejpam-1623	256	83	(	(	PUNCT
ejpam-1623	256	84	q	q	X
ejpam-1623	256	85	)	)	PUNCT
ejpam-1623	256	86	=	=	SYM
ejpam-1623	256	87	1	1	NUM
ejpam-1623	256	88	191	191	NUM
ejpam-1623	256	89	∞	∞	NUM
ejpam-1623	256	90	∑	∑	PUNCT
ejpam-1623	256	91	n=1	n=1	PROPN
ejpam-1623	256	92	∑	∑	ADV
ejpam-1623	256	93	ψ2	ψ2	NOUN
ejpam-1623	256	94	=	=	SYM
ejpam-1623	256	95	n	n	X
ejpam-1623	256	96	(	(	PUNCT
ejpam-1623	256	97	191x2	191x2	NUM
ejpam-1623	256	98	2	2	NUM
ejpam-1623	256	99	−	−	NUM
ejpam-1623	256	100	3ψ2)q	3ψ2)q	NUM
ejpam-1623	256	101	n	n	CCONJ
ejpam-1623	256	102	,	,	PUNCT
ejpam-1623	256	103	θψ2,ϕ33	θψ2,ϕ33	CCONJ
ejpam-1623	256	104	(	(	PUNCT
ejpam-1623	256	105	q	q	X
ejpam-1623	256	106	)	)	PUNCT
ejpam-1623	256	107	=	=	SYM
ejpam-1623	256	108	1	1	NUM
ejpam-1623	256	109	191	191	NUM
ejpam-1623	256	110	∞	∞	NUM
ejpam-1623	256	111	∑	∑	PUNCT
ejpam-1623	256	112	n=1	n=1	PROPN
ejpam-1623	256	113	∑	∑	ADV
ejpam-1623	256	114	ψ2	ψ2	NOUN
ejpam-1623	256	115	=	=	SYM
ejpam-1623	256	116	n	n	X
ejpam-1623	256	117	(	(	PUNCT
ejpam-1623	256	118	191x2	191x2	NUM
ejpam-1623	256	119	3	3	NUM
ejpam-1623	256	120	−	−	PROPN
ejpam-1623	256	121	16ψ2)q	16ψ2)q	NUM
ejpam-1623	256	122	n	n	CCONJ
ejpam-1623	256	123	,	,	PUNCT
ejpam-1623	256	124	θλ2,ϕ11	θλ2,ϕ11	X
ejpam-1623	256	125	(	(	PUNCT
ejpam-1623	256	126	q	q	NOUN
ejpam-1623	256	127	)	)	PUNCT
ejpam-1623	256	128	=	=	SYM
ejpam-1623	256	129	1	1	NUM
ejpam-1623	256	130	191	191	NUM
ejpam-1623	256	131	∞	∞	NUM
ejpam-1623	256	132	∑	∑	PUNCT
ejpam-1623	256	133	n=1	n=1	PROPN
ejpam-1623	256	134	∑	∑	ADV
ejpam-1623	256	135	λ2	λ2	PROPN
ejpam-1623	256	136	=	=	NOUN
ejpam-1623	256	137	n	n	X
ejpam-1623	256	138	(	(	PUNCT
ejpam-1623	256	139	191x2	191x2	NUM
ejpam-1623	256	140	1	1	NUM
ejpam-1623	256	141	−	−	NUM
ejpam-1623	256	142	12λ2)q	12λ2)q	NUM
ejpam-1623	256	143	n	n	CCONJ
ejpam-1623	256	144	,	,	PUNCT
ejpam-1623	256	145	θλ2,ϕ12	θλ2,ϕ12	NOUN
ejpam-1623	256	146	(	(	PUNCT
ejpam-1623	256	147	q	q	X
ejpam-1623	256	148	)	)	PUNCT
ejpam-1623	256	149	=	=	SYM
ejpam-1623	256	150	1	1	NUM
ejpam-1623	256	151	191	191	NUM
ejpam-1623	256	152	∞	∞	NUM
ejpam-1623	256	153	∑	∑	PUNCT
ejpam-1623	256	154	n=1	n=1	PROPN
ejpam-1623	256	155	∑	∑	ADV
ejpam-1623	256	156	λ2	λ2	PROPN
ejpam-1623	256	157	=	=	NOUN
ejpam-1623	256	158	n	n	X
ejpam-1623	256	159	(	(	PUNCT
ejpam-1623	256	160	191x1x2	191x1x2	NUM
ejpam-1623	256	161	+	+	CCONJ
ejpam-1623	256	162	1	1	NUM
ejpam-1623	256	163	2	2	NUM
ejpam-1623	256	164	λ2)q	λ2)q	NOUN
ejpam-1623	256	165	n	n	CCONJ
ejpam-1623	256	166	,	,	PUNCT
ejpam-1623	256	167	θυ2,ϕ11	θυ2,ϕ11	PROPN
ejpam-1623	256	168	(	(	PUNCT
ejpam-1623	256	169	q	q	X
ejpam-1623	256	170	)	)	PUNCT
ejpam-1623	256	171	=	=	SYM
ejpam-1623	256	172	1	1	NUM
ejpam-1623	256	173	191	191	NUM
ejpam-1623	256	174	∞	∞	NUM
ejpam-1623	256	175	∑	∑	PUNCT
ejpam-1623	256	176	n=1	n=1	PROPN
ejpam-1623	256	177	∑	∑	ADV
ejpam-1623	256	178	υ2	υ2	NOUN
ejpam-1623	256	179	=	=	SYM
ejpam-1623	256	180	n	n	X
ejpam-1623	256	181	(	(	PUNCT
ejpam-1623	256	182	191x2	191x2	NUM
ejpam-1623	256	183	1	1	NUM
ejpam-1623	256	184	−	−	NUM
ejpam-1623	256	185	10υ2)q	10υ2)q	NUM
ejpam-1623	256	186	n	n	CCONJ
ejpam-1623	256	187	,	,	PUNCT
ejpam-1623	256	188	θυ2,ϕ22	θυ2,ϕ22	X
ejpam-1623	256	189	(	(	PUNCT
ejpam-1623	256	190	q	q	NOUN
ejpam-1623	256	191	)	)	PUNCT
ejpam-1623	256	192	=	=	SYM
ejpam-1623	256	193	1	1	NUM
ejpam-1623	256	194	191	191	NUM
ejpam-1623	256	195	∞	∞	NUM
ejpam-1623	256	196	∑	∑	PUNCT
ejpam-1623	256	197	n=1	n=1	PROPN
ejpam-1623	256	198	∑	∑	ADV
ejpam-1623	256	199	υ2	υ2	NOUN
ejpam-1623	256	200	=	=	SYM
ejpam-1623	256	201	n	n	X
ejpam-1623	256	202	(	(	PUNCT
ejpam-1623	256	203	191x2	191x2	NUM
ejpam-1623	256	204	2	2	NUM
ejpam-1623	256	205	−	−	NUM
ejpam-1623	256	206	5υ2)q	5υ2)q	NUM
ejpam-1623	256	207	n	n	CCONJ
ejpam-1623	256	208	,	,	PUNCT
ejpam-1623	256	209	b.	b.	PROPN
ejpam-1623	256	210	köklüce	köklüce	PROPN
ejpam-1623	256	211	/	/	SYM
ejpam-1623	256	212	eur	eur	PROPN
ejpam-1623	256	213	.	.	PUNCT
ejpam-1623	257	1	j.	j.	PROPN
ejpam-1623	257	2	pure	pure	PROPN
ejpam-1623	257	3	appl	appl	PROPN
ejpam-1623	257	4	.	.	PROPN
ejpam-1623	257	5	math	math	PROPN
ejpam-1623	257	6	,	,	PUNCT
ejpam-1623	257	7	5	5	NUM
ejpam-1623	257	8	(	(	PUNCT
ejpam-1623	257	9	2012	2012	NUM
ejpam-1623	257	10	)	)	PUNCT
ejpam-1623	257	11	,	,	PUNCT
ejpam-1623	257	12	451	451	NUM
ejpam-1623	257	13	-	-	SYM
ejpam-1623	257	14	468	468	NUM
ejpam-1623	257	15	461	461	NUM
ejpam-1623	257	16	θω2,ϕ12	θω2,ϕ12	NOUN
ejpam-1623	257	17	(	(	PUNCT
ejpam-1623	257	18	q	q	X
ejpam-1623	257	19	)	)	PUNCT
ejpam-1623	257	20	=	=	SYM
ejpam-1623	257	21	1	1	NUM
ejpam-1623	257	22	191	191	NUM
ejpam-1623	257	23	∞	∞	NUM
ejpam-1623	257	24	∑	∑	PUNCT
ejpam-1623	257	25	n=1	n=1	PROPN
ejpam-1623	257	26	∑	∑	PROPN
ejpam-1623	257	27	ω2	ω2	PROPN
ejpam-1623	257	28	=	=	NOUN
ejpam-1623	257	29	n	n	X
ejpam-1623	257	30	(	(	PUNCT
ejpam-1623	257	31	191x1x2	191x1x2	NUM
ejpam-1623	257	32	+	+	SYM
ejpam-1623	257	33	1	1	NUM
ejpam-1623	257	34	2	2	NUM
ejpam-1623	257	35	ω2)q	ω2)q	NOUN
ejpam-1623	257	36	n	n	CCONJ
ejpam-1623	257	37	,	,	PUNCT
ejpam-1623	257	38	θω2,ϕ22	θω2,ϕ22	PUNCT
ejpam-1623	257	39	(	(	PUNCT
ejpam-1623	257	40	q	q	X
ejpam-1623	257	41	)	)	PUNCT
ejpam-1623	257	42	=	=	SYM
ejpam-1623	257	43	1	1	NUM
ejpam-1623	257	44	191	191	NUM
ejpam-1623	257	45	∞	∞	NUM
ejpam-1623	257	46	∑	∑	PUNCT
ejpam-1623	257	47	n=1	n=1	PROPN
ejpam-1623	257	48	∑	∑	PROPN
ejpam-1623	257	49	ω2	ω2	PROPN
ejpam-1623	257	50	=	=	NOUN
ejpam-1623	257	51	n	n	X
ejpam-1623	257	52	(	(	PUNCT
ejpam-1623	257	53	191x2	191x2	NUM
ejpam-1623	257	54	2	2	NUM
ejpam-1623	257	55	−	−	NUM
ejpam-1623	257	56	6ω2)q	6ω2)q	NUM
ejpam-1623	257	57	n	n	CCONJ
ejpam-1623	257	58	,	,	PUNCT
ejpam-1623	257	59	θπ2,ϕ11	θπ2,ϕ11	PROPN
ejpam-1623	257	60	(	(	PUNCT
ejpam-1623	257	61	q	q	X
ejpam-1623	257	62	)	)	PUNCT
ejpam-1623	257	63	=	=	SYM
ejpam-1623	257	64	1	1	NUM
ejpam-1623	257	65	191	191	NUM
ejpam-1623	257	66	∞	∞	NUM
ejpam-1623	257	67	∑	∑	PUNCT
ejpam-1623	257	68	n=1	n=1	PROPN
ejpam-1623	257	69	∑	∑	ADV
ejpam-1623	257	70	π2	π2	X
ejpam-1623	257	71	=	=	SYM
ejpam-1623	257	72	n	n	X
ejpam-1623	257	73	(	(	PUNCT
ejpam-1623	257	74	191x2	191x2	NUM
ejpam-1623	257	75	1	1	NUM
ejpam-1623	257	76	−	−	NUM
ejpam-1623	257	77	9π2)q	9π2)q	NUM
ejpam-1623	257	78	n	n	CCONJ
ejpam-1623	257	79	,	,	PUNCT
ejpam-1623	257	80	θπ2,ϕ22	θπ2,ϕ22	X
ejpam-1623	257	81	(	(	PUNCT
ejpam-1623	257	82	q	q	X
ejpam-1623	257	83	)	)	PUNCT
ejpam-1623	257	84	=	=	SYM
ejpam-1623	257	85	1	1	NUM
ejpam-1623	257	86	191	191	NUM
ejpam-1623	257	87	∞	∞	NUM
ejpam-1623	257	88	∑	∑	PUNCT
ejpam-1623	257	89	n=1	n=1	PROPN
ejpam-1623	257	90	∑	∑	ADV
ejpam-1623	257	91	π2	π2	X
ejpam-1623	257	92	=	=	SYM
ejpam-1623	257	93	n	n	X
ejpam-1623	257	94	(	(	PUNCT
ejpam-1623	257	95	191x2	191x2	NUM
ejpam-1623	257	96	2	2	NUM
ejpam-1623	257	97	−	−	NUM
ejpam-1623	257	98	6π2)q	6π2)q	NUM
ejpam-1623	257	99	n	n	CCONJ
ejpam-1623	257	100	,	,	PUNCT
ejpam-1623	257	101	θf1⊕φ1,ϕ12	θf1⊕φ1,ϕ12	NOUN
ejpam-1623	257	102	(	(	PUNCT
ejpam-1623	257	103	q	q	X
ejpam-1623	257	104	)	)	PUNCT
ejpam-1623	257	105	=	=	SYM
ejpam-1623	257	106	1	1	NUM
ejpam-1623	257	107	191	191	NUM
ejpam-1623	257	108	∞	∞	NUM
ejpam-1623	257	109	∑	∑	PUNCT
ejpam-1623	257	110	n=1	n=1	PROPN
ejpam-1623	257	111	∑	∑	PUNCT
ejpam-1623	257	112	f1⊕φ1	f1⊕φ1	X
ejpam-1623	257	113	=	=	NOUN
ejpam-1623	257	114	n	n	X
ejpam-1623	257	115	(	(	PUNCT
ejpam-1623	257	116	191x1x2	191x1x2	NUM
ejpam-1623	257	117	+	+	CCONJ
ejpam-1623	257	118	1	1	NUM
ejpam-1623	257	119	2	2	NUM
ejpam-1623	257	120	(	(	PUNCT
ejpam-1623	257	121	f1	f1	NOUN
ejpam-1623	257	122	⊕φ1))q	⊕φ1))q	NOUN
ejpam-1623	257	123	n	n	CCONJ
ejpam-1623	257	124	,	,	PUNCT
ejpam-1623	257	125	θf1⊕φ1,ϕ33	θf1⊕φ1,ϕ33	NOUN
ejpam-1623	257	126	(	(	PUNCT
ejpam-1623	257	127	q	q	X
ejpam-1623	257	128	)	)	PUNCT
ejpam-1623	257	129	=	=	SYM
ejpam-1623	257	130	1	1	NUM
ejpam-1623	257	131	191	191	NUM
ejpam-1623	257	132	∞	∞	NUM
ejpam-1623	257	133	∑	∑	PUNCT
ejpam-1623	257	134	n=1	n=1	PROPN
ejpam-1623	257	135	∑	∑	PUNCT
ejpam-1623	257	136	f1⊕φ1	f1⊕φ1	X
ejpam-1623	257	137	=	=	NOUN
ejpam-1623	257	138	n	n	X
ejpam-1623	257	139	(	(	PUNCT
ejpam-1623	257	140	191x2	191x2	NUM
ejpam-1623	257	141	3	3	NUM
ejpam-1623	257	142	−	−	PROPN
ejpam-1623	257	143	24(f1⊕φ1))q	24(f1⊕φ1))q	NUM
ejpam-1623	257	144	n	n	CCONJ
ejpam-1623	257	145	,	,	PUNCT
ejpam-1623	257	146	θf1⊕ψ1,ϕ22	θf1⊕ψ1,ϕ22	X
ejpam-1623	257	147	(	(	PUNCT
ejpam-1623	257	148	q	q	NOUN
ejpam-1623	257	149	)	)	PUNCT
ejpam-1623	257	150	=	=	SYM
ejpam-1623	257	151	1	1	NUM
ejpam-1623	257	152	191	191	NUM
ejpam-1623	257	153	∞	∞	NUM
ejpam-1623	257	154	∑	∑	PUNCT
ejpam-1623	257	155	n=1	n=1	PROPN
ejpam-1623	257	156	∑	∑	PROPN
ejpam-1623	257	157	f1⊕ψ1	f1⊕ψ1	NOUN
ejpam-1623	257	158	=	=	NOUN
ejpam-1623	257	159	n	n	X
ejpam-1623	257	160	(	(	PUNCT
ejpam-1623	257	161	191x2	191x2	NUM
ejpam-1623	257	162	2	2	NUM
ejpam-1623	257	163	−	−	NOUN
ejpam-1623	257	164	(	(	PUNCT
ejpam-1623	257	165	f1	f1	PROPN
ejpam-1623	257	166	⊕ψ1))q	⊕ψ1))q	NOUN
ejpam-1623	257	167	n	n	CCONJ
ejpam-1623	257	168	,	,	PUNCT
ejpam-1623	257	169	θf1⊕ψ1,ϕ34	θf1⊕ψ1,ϕ34	PROPN
ejpam-1623	257	170	(	(	PUNCT
ejpam-1623	257	171	q	q	X
ejpam-1623	257	172	)	)	PUNCT
ejpam-1623	257	173	=	=	SYM
ejpam-1623	257	174	1	1	NUM
ejpam-1623	257	175	191	191	NUM
ejpam-1623	257	176	∞	∞	NUM
ejpam-1623	257	177	∑	∑	PUNCT
ejpam-1623	257	178	n=1	n=1	PROPN
ejpam-1623	257	179	∑	∑	PROPN
ejpam-1623	257	180	f1⊕ψ1	f1⊕ψ1	NOUN
ejpam-1623	257	181	=	=	NOUN
ejpam-1623	257	182	n	n	X
ejpam-1623	257	183	(	(	PUNCT
ejpam-1623	257	184	191x3x4	191x3x4	NUM
ejpam-1623	257	185	+	+	NOUN
ejpam-1623	257	186	1	1	NUM
ejpam-1623	257	187	2	2	NUM
ejpam-1623	257	188	(	(	PUNCT
ejpam-1623	257	189	f1	f1	PROPN
ejpam-1623	257	190	⊕ψ1))q	⊕ψ1))q	PROPN
ejpam-1623	257	191	n	n	CCONJ
ejpam-1623	257	192	,	,	PUNCT
ejpam-1623	257	193	θf1⊕λ1,ϕ12	θf1⊕λ1,ϕ12	NOUN
ejpam-1623	257	194	(	(	PUNCT
ejpam-1623	257	195	q	q	X
ejpam-1623	257	196	)	)	PUNCT
ejpam-1623	257	197	=	=	SYM
ejpam-1623	257	198	1	1	NUM
ejpam-1623	257	199	191	191	NUM
ejpam-1623	257	200	∞	∞	NUM
ejpam-1623	257	201	∑	∑	PUNCT
ejpam-1623	257	202	n=1	n=1	PROPN
ejpam-1623	257	203	∑	∑	ADP
ejpam-1623	257	204	f1⊕λ1	f1⊕λ1	X
ejpam-1623	257	205	=	=	NOUN
ejpam-1623	257	206	n	n	PRON
ejpam-1623	257	207	(	(	PUNCT
ejpam-1623	257	208	191x1x2	191x1x2	NUM
ejpam-1623	257	209	+	+	CCONJ
ejpam-1623	257	210	1	1	NUM
ejpam-1623	257	211	2	2	NUM
ejpam-1623	257	212	(	(	PUNCT
ejpam-1623	257	213	f1	f1	NOUN
ejpam-1623	257	214	⊕λ1))q	⊕λ1))q	NOUN
ejpam-1623	257	215	n	n	CCONJ
ejpam-1623	257	216	,	,	PUNCT
ejpam-1623	257	217	θf1⊕λ1,ϕ44	θf1⊕λ1,ϕ44	PROPN
ejpam-1623	257	218	(	(	PUNCT
ejpam-1623	257	219	q	q	NOUN
ejpam-1623	257	220	)	)	PUNCT
ejpam-1623	257	221	=	=	SYM
ejpam-1623	257	222	1	1	NUM
ejpam-1623	257	223	191	191	NUM
ejpam-1623	257	224	∞	∞	NUM
ejpam-1623	257	225	∑	∑	PUNCT
ejpam-1623	257	226	n=1	n=1	PROPN
ejpam-1623	257	227	∑	∑	ADP
ejpam-1623	257	228	f1⊕λ1	f1⊕λ1	X
ejpam-1623	257	229	=	=	NOUN
ejpam-1623	257	230	n	n	PRON
ejpam-1623	257	231	(	(	PUNCT
ejpam-1623	257	232	191x2	191x2	NUM
ejpam-1623	257	233	4	4	NUM
ejpam-1623	257	234	−	−	PROPN
ejpam-1623	257	235	4(f1	4(f1	NUM
ejpam-1623	257	236	⊕λ1))q	⊕λ1))q	NOUN
ejpam-1623	257	237	n	n	CCONJ
ejpam-1623	257	238	,	,	PUNCT
ejpam-1623	257	239	θf1⊕υ1,ϕ11	θf1⊕υ1,ϕ11	PROPN
ejpam-1623	257	240	(	(	PUNCT
ejpam-1623	257	241	q	q	NOUN
ejpam-1623	257	242	)	)	PUNCT
ejpam-1623	257	243	=	=	SYM
ejpam-1623	257	244	1	1	NUM
ejpam-1623	257	245	191	191	NUM
ejpam-1623	257	246	∞	∞	NUM
ejpam-1623	257	247	∑	∑	PUNCT
ejpam-1623	257	248	n=1	n=1	PROPN
ejpam-1623	257	249	∑	∑	PART
ejpam-1623	257	250	f1⊕υ1	f1⊕υ1	X
ejpam-1623	257	251	=	=	NOUN
ejpam-1623	257	252	n	n	X
ejpam-1623	257	253	(	(	PUNCT
ejpam-1623	257	254	191x2	191x2	NUM
ejpam-1623	257	255	1	1	NUM
ejpam-1623	257	256	−	−	NUM
ejpam-1623	257	257	48(f1⊕υ1))q	48(f1⊕υ1))q	NUM
ejpam-1623	257	258	n	n	CCONJ
ejpam-1623	257	259	,	,	PUNCT
ejpam-1623	257	260	θf1⊕υ1,ϕ34	θf1⊕υ1,ϕ34	NOUN
ejpam-1623	257	261	(	(	PUNCT
ejpam-1623	257	262	q	q	X
ejpam-1623	257	263	)	)	PUNCT
ejpam-1623	257	264	=	=	SYM
ejpam-1623	257	265	1	1	NUM
ejpam-1623	257	266	191	191	NUM
ejpam-1623	257	267	∞	∞	NUM
ejpam-1623	257	268	∑	∑	PUNCT
ejpam-1623	257	269	n=1	n=1	PROPN
ejpam-1623	257	270	∑	∑	PART
ejpam-1623	257	271	f1⊕υ1	f1⊕υ1	X
ejpam-1623	257	272	=	=	NOUN
ejpam-1623	257	273	n	n	X
ejpam-1623	257	274	(	(	PUNCT
ejpam-1623	257	275	191x3x4	191x3x4	NUM
ejpam-1623	257	276	+	+	NOUN
ejpam-1623	257	277	3	3	NUM
ejpam-1623	257	278	2	2	NUM
ejpam-1623	257	279	(	(	PUNCT
ejpam-1623	257	280	f1	f1	NOUN
ejpam-1623	257	281	⊕υ1))q	⊕υ1))q	NOUN
ejpam-1623	257	282	n	n	CCONJ
ejpam-1623	257	283	,	,	PUNCT
ejpam-1623	257	284	θf1⊕ω1,ϕ12	θf1⊕ω1,ϕ12	NOUN
ejpam-1623	257	285	(	(	PUNCT
ejpam-1623	257	286	q	q	X
ejpam-1623	257	287	)	)	PUNCT
ejpam-1623	257	288	=	=	SYM
ejpam-1623	257	289	1	1	NUM
ejpam-1623	257	290	191	191	NUM
ejpam-1623	257	291	∞	∞	NUM
ejpam-1623	257	292	∑	∑	PUNCT
ejpam-1623	257	293	n=1	n=1	PROPN
ejpam-1623	257	294	∑	∑	ADV
ejpam-1623	257	295	f1⊕ω1	f1⊕ω1	PROPN
ejpam-1623	257	296	=	=	NOUN
ejpam-1623	257	297	n	n	X
ejpam-1623	257	298	(	(	PUNCT
ejpam-1623	257	299	191x1x2	191x1x2	NUM
ejpam-1623	257	300	+	+	SYM
ejpam-1623	257	301	1	1	NUM
ejpam-1623	257	302	2	2	NUM
ejpam-1623	257	303	(	(	PUNCT
ejpam-1623	257	304	f1	f1	PROPN
ejpam-1623	257	305	⊕ω1))q	⊕ω1))q	PROPN
ejpam-1623	257	306	n	n	CCONJ
ejpam-1623	257	307	,	,	PUNCT
ejpam-1623	257	308	θf1⊕ω1,ϕ33	θf1⊕ω1,ϕ33	NOUN
ejpam-1623	257	309	(	(	PUNCT
ejpam-1623	257	310	q	q	X
ejpam-1623	257	311	)	)	PUNCT
ejpam-1623	257	312	=	=	SYM
ejpam-1623	257	313	1	1	NUM
ejpam-1623	257	314	191	191	NUM
ejpam-1623	257	315	∞	∞	NUM
ejpam-1623	257	316	∑	∑	PUNCT
ejpam-1623	257	317	n=1	n=1	PROPN
ejpam-1623	257	318	∑	∑	ADV
ejpam-1623	257	319	f1⊕ω1	f1⊕ω1	PROPN
ejpam-1623	257	320	=	=	NOUN
ejpam-1623	257	321	n	n	X
ejpam-1623	257	322	(	(	PUNCT
ejpam-1623	257	323	191x2	191x2	NUM
ejpam-1623	257	324	3	3	NUM
ejpam-1623	257	325	−	−	PROPN
ejpam-1623	257	326	10(f1⊕ω1))q	10(f1⊕ω1))q	NUM
ejpam-1623	257	327	n	n	CCONJ
ejpam-1623	257	328	,	,	PUNCT
ejpam-1623	257	329	θf1⊕π1,ϕ22	θf1⊕π1,ϕ22	X
ejpam-1623	257	330	(	(	PUNCT
ejpam-1623	257	331	q	q	X
ejpam-1623	257	332	)	)	PUNCT
ejpam-1623	257	333	=	=	SYM
ejpam-1623	257	334	1	1	NUM
ejpam-1623	257	335	191	191	NUM
ejpam-1623	257	336	∞	∞	NUM
ejpam-1623	257	337	∑	∑	PUNCT
ejpam-1623	257	338	n=1	n=1	PROPN
ejpam-1623	257	339	∑	∑	ADV
ejpam-1623	257	340	f1⊕π1	f1⊕π1	PROPN
ejpam-1623	257	341	=	=	SYM
ejpam-1623	257	342	n	n	X
ejpam-1623	257	343	(	(	PUNCT
ejpam-1623	257	344	191x2	191x2	NUM
ejpam-1623	257	345	2	2	NUM
ejpam-1623	257	346	−	−	NOUN
ejpam-1623	257	347	(	(	PUNCT
ejpam-1623	257	348	f1	f1	PROPN
ejpam-1623	257	349	⊕π1))q	⊕π1))q	PROPN
ejpam-1623	257	350	n	n	CCONJ
ejpam-1623	257	351	,	,	PUNCT
ejpam-1623	257	352	b.	b.	PROPN
ejpam-1623	257	353	köklüce	köklüce	PROPN
ejpam-1623	257	354	/	/	SYM
ejpam-1623	257	355	eur	eur	PROPN
ejpam-1623	257	356	.	.	PUNCT
ejpam-1623	258	1	j.	j.	PROPN
ejpam-1623	258	2	pure	pure	PROPN
ejpam-1623	258	3	appl	appl	PROPN
ejpam-1623	258	4	.	.	PROPN
ejpam-1623	258	5	math	math	PROPN
ejpam-1623	258	6	,	,	PUNCT
ejpam-1623	258	7	5	5	NUM
ejpam-1623	258	8	(	(	PUNCT
ejpam-1623	258	9	2012	2012	NUM
ejpam-1623	258	10	)	)	PUNCT
ejpam-1623	258	11	,	,	PUNCT
ejpam-1623	258	12	451	451	NUM
ejpam-1623	258	13	-	-	SYM
ejpam-1623	258	14	468	468	NUM
ejpam-1623	258	15	462	462	NUM
ejpam-1623	258	16	θf1⊕π1	θf1⊕π1	PROPN
ejpam-1623	258	17	,	,	PUNCT
ejpam-1623	258	18	ϕ34	ϕ34	NOUN
ejpam-1623	258	19	(	(	PUNCT
ejpam-1623	258	20	q	q	X
ejpam-1623	258	21	)	)	PUNCT
ejpam-1623	258	22	=	=	SYM
ejpam-1623	258	23	1	1	NUM
ejpam-1623	258	24	191	191	NUM
ejpam-1623	258	25	∞	∞	NUM
ejpam-1623	258	26	∑	∑	PUNCT
ejpam-1623	258	27	n=1	n=1	PROPN
ejpam-1623	258	28	∑	∑	ADV
ejpam-1623	258	29	f1⊕π1	f1⊕π1	PROPN
ejpam-1623	258	30	=	=	SYM
ejpam-1623	258	31	n	n	X
ejpam-1623	258	32	(	(	PUNCT
ejpam-1623	258	33	191x3x4	191x3x4	NUM
ejpam-1623	259	1	+	+	CCONJ
ejpam-1623	259	2	5	5	NUM
ejpam-1623	259	3	2	2	NUM
ejpam-1623	259	4	(	(	PUNCT
ejpam-1623	259	5	f1	f1	PROPN
ejpam-1623	259	6	⊕π1))q	⊕π1))q	PROPN
ejpam-1623	259	7	n	n	CCONJ
ejpam-1623	259	8	,	,	PUNCT
ejpam-1623	259	9	θφ1⊕ψ1,ϕ11	θφ1⊕ψ1,ϕ11	X
ejpam-1623	259	10	(	(	PUNCT
ejpam-1623	259	11	q	q	X
ejpam-1623	259	12	)	)	PUNCT
ejpam-1623	259	13	=	=	SYM
ejpam-1623	259	14	1	1	NUM
ejpam-1623	259	15	191	191	NUM
ejpam-1623	259	16	∞	∞	NUM
ejpam-1623	259	17	∑	∑	PUNCT
ejpam-1623	259	18	n=1	n=1	PROPN
ejpam-1623	259	19	∑	∑	ADV
ejpam-1623	259	20	φ1⊕ψ1	φ1⊕ψ1	NOUN
ejpam-1623	259	21	=	=	SYM
ejpam-1623	259	22	n	n	X
ejpam-1623	259	23	(	(	PUNCT
ejpam-1623	259	24	191x2	191x2	NUM
ejpam-1623	259	25	1	1	NUM
ejpam-1623	259	26	−	−	PROPN
ejpam-1623	259	27	24(φ1⊕ψ1))q	24(φ1⊕ψ1))q	NUM
ejpam-1623	259	28	n	n	CCONJ
ejpam-1623	259	29	,	,	PUNCT
ejpam-1623	259	30	θφ1⊕ψ1,ϕ22	θφ1⊕ψ1,ϕ22	X
ejpam-1623	259	31	(	(	PUNCT
ejpam-1623	259	32	q	q	X
ejpam-1623	259	33	)	)	PUNCT
ejpam-1623	259	34	=	=	SYM
ejpam-1623	259	35	1	1	NUM
ejpam-1623	259	36	191	191	NUM
ejpam-1623	259	37	∞	∞	NUM
ejpam-1623	259	38	∑	∑	PUNCT
ejpam-1623	259	39	n=1	n=1	PROPN
ejpam-1623	259	40	∑	∑	ADV
ejpam-1623	259	41	φ1⊕ψ1	φ1⊕ψ1	NOUN
ejpam-1623	259	42	=	=	SYM
ejpam-1623	259	43	n	n	X
ejpam-1623	259	44	(	(	PUNCT
ejpam-1623	259	45	191x2	191x2	NUM
ejpam-1623	259	46	2	2	NUM
ejpam-1623	259	47	−	−	PROPN
ejpam-1623	259	48	2(φ1⊕ψ1))q	2(φ1⊕ψ1))q	NUM
ejpam-1623	259	49	n	n	NOUN
ejpam-1623	259	50	,	,	PUNCT
ejpam-1623	259	51	θφ1⊕λ1,ϕ12	θφ1⊕λ1,ϕ12	NOUN
ejpam-1623	259	52	(	(	PUNCT
ejpam-1623	259	53	q	q	X
ejpam-1623	259	54	)	)	PUNCT
ejpam-1623	259	55	=	=	SYM
ejpam-1623	259	56	1	1	NUM
ejpam-1623	259	57	191	191	NUM
ejpam-1623	259	58	∞	∞	NUM
ejpam-1623	259	59	∑	∑	PUNCT
ejpam-1623	259	60	n=1	n=1	PROPN
ejpam-1623	259	61	∑	∑	PROPN
ejpam-1623	259	62	φ1⊕λ1	φ1⊕λ1	PROPN
ejpam-1623	259	63	=	=	NOUN
ejpam-1623	259	64	n	n	X
ejpam-1623	259	65	(	(	PUNCT
ejpam-1623	259	66	191x1x2	191x1x2	NUM
ejpam-1623	259	67	+	+	CCONJ
ejpam-1623	259	68	1	1	NUM
ejpam-1623	259	69	2	2	NUM
ejpam-1623	259	70	(	(	PUNCT
ejpam-1623	259	71	φ1	φ1	NOUN
ejpam-1623	259	72	⊕λ1))q	⊕λ1))q	NOUN
ejpam-1623	259	73	n	n	CCONJ
ejpam-1623	259	74	,	,	PUNCT
ejpam-1623	259	75	θφ1⊕λ1,ϕ33	θφ1⊕λ1,ϕ33	PROPN
ejpam-1623	259	76	(	(	PUNCT
ejpam-1623	259	77	q	q	X
ejpam-1623	259	78	)	)	PUNCT
ejpam-1623	259	79	=	=	SYM
ejpam-1623	259	80	1	1	NUM
ejpam-1623	259	81	191	191	NUM
ejpam-1623	259	82	∞	∞	NUM
ejpam-1623	259	83	∑	∑	PUNCT
ejpam-1623	259	84	n=1	n=1	PROPN
ejpam-1623	259	85	∑	∑	PROPN
ejpam-1623	259	86	φ1⊕λ1	φ1⊕λ1	PROPN
ejpam-1623	259	87	=	=	NOUN
ejpam-1623	259	88	n	n	X
ejpam-1623	259	89	(	(	PUNCT
ejpam-1623	259	90	191x2	191x2	NUM
ejpam-1623	259	91	3	3	NUM
ejpam-1623	259	92	−	−	PROPN
ejpam-1623	259	93	12(φ1⊕λ1))q	12(φ1⊕λ1))q	NUM
ejpam-1623	259	94	n	n	NOUN
ejpam-1623	259	95	,	,	PUNCT
ejpam-1623	259	96	θφ1⊕υ1,ϕ12	θφ1⊕υ1,ϕ12	NOUN
ejpam-1623	259	97	(	(	PUNCT
ejpam-1623	259	98	q	q	X
ejpam-1623	259	99	)	)	PUNCT
ejpam-1623	259	100	=	=	SYM
ejpam-1623	259	101	1	1	NUM
ejpam-1623	259	102	191	191	NUM
ejpam-1623	259	103	∞	∞	NUM
ejpam-1623	259	104	∑	∑	PUNCT
ejpam-1623	259	105	n=1	n=1	PROPN
ejpam-1623	259	106	∑	∑	PART
ejpam-1623	259	107	φ1⊕υ1	φ1⊕υ1	PROPN
ejpam-1623	259	108	=	=	SYM
ejpam-1623	259	109	n	n	X
ejpam-1623	259	110	(	(	PUNCT
ejpam-1623	259	111	191x1x2	191x1x2	NUM
ejpam-1623	259	112	+	+	SYM
ejpam-1623	259	113	1	1	NUM
ejpam-1623	259	114	2	2	NUM
ejpam-1623	259	115	(	(	PUNCT
ejpam-1623	259	116	φ1⊕υ1))q	φ1⊕υ1))q	NUM
ejpam-1623	259	117	n	n	CCONJ
ejpam-1623	259	118	,	,	PUNCT
ejpam-1623	259	119	θφ1⊕υ1,ϕ22	θφ1⊕υ1,ϕ22	PROPN
ejpam-1623	259	120	(	(	PUNCT
ejpam-1623	259	121	q	q	X
ejpam-1623	259	122	)	)	PUNCT
ejpam-1623	259	123	=	=	SYM
ejpam-1623	259	124	1	1	NUM
ejpam-1623	259	125	191	191	NUM
ejpam-1623	259	126	∞	∞	NUM
ejpam-1623	259	127	∑	∑	PUNCT
ejpam-1623	259	128	n=1	n=1	PROPN
ejpam-1623	259	129	∑	∑	PART
ejpam-1623	259	130	φ1⊕υ1	φ1⊕υ1	PROPN
ejpam-1623	259	131	=	=	SYM
ejpam-1623	259	132	n	n	X
ejpam-1623	259	133	(	(	PUNCT
ejpam-1623	259	134	191x2	191x2	NUM
ejpam-1623	259	135	2	2	NUM
ejpam-1623	259	136	−	−	PROPN
ejpam-1623	259	137	2(φ1⊕υ1))q	2(φ1⊕υ1))q	NUM
ejpam-1623	259	138	n	n	CCONJ
ejpam-1623	259	139	,	,	PUNCT
ejpam-1623	259	140	θφ1⊕ω1,ϕ33	θφ1⊕ω1,ϕ33	X
ejpam-1623	259	141	(	(	PUNCT
ejpam-1623	259	142	q	q	X
ejpam-1623	259	143	)	)	PUNCT
ejpam-1623	259	144	=	=	SYM
ejpam-1623	259	145	1	1	NUM
ejpam-1623	259	146	191	191	NUM
ejpam-1623	259	147	∞	∞	NUM
ejpam-1623	259	148	∑	∑	PUNCT
ejpam-1623	259	149	n=1	n=1	PROPN
ejpam-1623	259	150	∑	∑	ADP
ejpam-1623	259	151	φ1⊕ω1	φ1⊕ω1	PROPN
ejpam-1623	259	152	=	=	SYM
ejpam-1623	259	153	n	n	X
ejpam-1623	259	154	(	(	PUNCT
ejpam-1623	259	155	191x2	191x2	NUM
ejpam-1623	259	156	3	3	NUM
ejpam-1623	259	157	−	−	PROPN
ejpam-1623	259	158	8(φ1⊕ω1))q	8(φ1⊕ω1))q	NUM
ejpam-1623	259	159	n	n	CCONJ
ejpam-1623	259	160	,	,	PUNCT
ejpam-1623	259	161	θφ1⊕ω1,ϕ34	θφ1⊕ω1,ϕ34	NOUN
ejpam-1623	259	162	(	(	PUNCT
ejpam-1623	259	163	q	q	X
ejpam-1623	259	164	)	)	PUNCT
ejpam-1623	259	165	=	=	SYM
ejpam-1623	259	166	1	1	NUM
ejpam-1623	259	167	191	191	NUM
ejpam-1623	259	168	∞	∞	NUM
ejpam-1623	259	169	∑	∑	PUNCT
ejpam-1623	259	170	n=1	n=1	PROPN
ejpam-1623	259	171	∑	∑	ADP
ejpam-1623	259	172	φ1⊕ω1	φ1⊕ω1	PROPN
ejpam-1623	259	173	=	=	SYM
ejpam-1623	259	174	n	n	X
ejpam-1623	259	175	(	(	PUNCT
ejpam-1623	259	176	191x3x4	191x3x4	NUM
ejpam-1623	259	177	+	+	NOUN
ejpam-1623	259	178	1	1	NUM
ejpam-1623	259	179	2	2	NUM
ejpam-1623	259	180	(	(	PUNCT
ejpam-1623	259	181	φ1	φ1	PROPN
ejpam-1623	259	182	⊕ω1))q	⊕ω1))q	PROPN
ejpam-1623	259	183	n	n	CCONJ
ejpam-1623	259	184	,	,	PUNCT
ejpam-1623	259	185	θφ1⊕π1,ϕ11	θφ1⊕π1,ϕ11	PROPN
ejpam-1623	259	186	(	(	PUNCT
ejpam-1623	259	187	q	q	X
ejpam-1623	259	188	)	)	PUNCT
ejpam-1623	259	189	=	=	SYM
ejpam-1623	259	190	1	1	NUM
ejpam-1623	259	191	191	191	NUM
ejpam-1623	259	192	∞	∞	NUM
ejpam-1623	259	193	∑	∑	PUNCT
ejpam-1623	259	194	n=1	n=1	PROPN
ejpam-1623	259	195	∑	∑	ADV
ejpam-1623	259	196	φ1⊕π1	φ1⊕π1	X
ejpam-1623	259	197	=	=	SYM
ejpam-1623	259	198	n	n	X
ejpam-1623	259	199	(	(	PUNCT
ejpam-1623	259	200	191x2	191x2	NUM
ejpam-1623	259	201	1	1	NUM
ejpam-1623	259	202	−	−	PROPN
ejpam-1623	259	203	24(φ1⊕π1))q	24(φ1⊕π1))q	NUM
ejpam-1623	259	204	n	n	CCONJ
ejpam-1623	259	205	,	,	PUNCT
ejpam-1623	259	206	θφ1⊕π1	θφ1⊕π1	PROPN
ejpam-1623	259	207	,	,	PUNCT
ejpam-1623	259	208	ϕ33	ϕ33	NOUN
ejpam-1623	259	209	(	(	PUNCT
ejpam-1623	259	210	q	q	NOUN
ejpam-1623	259	211	)	)	PUNCT
ejpam-1623	259	212	=	=	SYM
ejpam-1623	259	213	1	1	NUM
ejpam-1623	259	214	191	191	NUM
ejpam-1623	259	215	∞	∞	NUM
ejpam-1623	259	216	∑	∑	PUNCT
ejpam-1623	259	217	n=1	n=1	PROPN
ejpam-1623	259	218	∑	∑	ADV
ejpam-1623	259	219	φ1⊕π1	φ1⊕π1	X
ejpam-1623	259	220	=	=	SYM
ejpam-1623	259	221	n	n	X
ejpam-1623	259	222	(	(	PUNCT
ejpam-1623	259	223	191x2	191x2	NUM
ejpam-1623	259	224	3	3	NUM
ejpam-1623	259	225	−	−	PROPN
ejpam-1623	259	226	9(φ1	9(φ1	PROPN
ejpam-1623	259	227	⊕π1))q	⊕π1))q	PROPN
ejpam-1623	259	228	n	n	CCONJ
ejpam-1623	259	229	,	,	PUNCT
ejpam-1623	259	230	θψ1⊕λ1,ϕ12	θψ1⊕λ1,ϕ12	NOUN
ejpam-1623	259	231	(	(	PUNCT
ejpam-1623	259	232	q	q	X
ejpam-1623	259	233	)	)	PUNCT
ejpam-1623	259	234	=	=	SYM
ejpam-1623	259	235	1	1	NUM
ejpam-1623	259	236	191	191	NUM
ejpam-1623	259	237	∞	∞	NUM
ejpam-1623	259	238	∑	∑	PUNCT
ejpam-1623	259	239	n=1	n=1	PROPN
ejpam-1623	259	240	∑	∑	PUNCT
ejpam-1623	259	241	ψ1⊕λ1	ψ1⊕λ1	NOUN
ejpam-1623	259	242	=	=	NOUN
ejpam-1623	259	243	n	n	X
ejpam-1623	259	244	(	(	PUNCT
ejpam-1623	259	245	191x1x2	191x1x2	NUM
ejpam-1623	259	246	+	+	SYM
ejpam-1623	259	247	1	1	NUM
ejpam-1623	259	248	2	2	NUM
ejpam-1623	259	249	(	(	PUNCT
ejpam-1623	259	250	ψ1⊕λ1))q	ψ1⊕λ1))q	NOUN
ejpam-1623	259	251	n	n	CCONJ
ejpam-1623	259	252	,	,	PUNCT
ejpam-1623	259	253	θψ1⊕λ1,ϕ22	θψ1⊕λ1,ϕ22	PROPN
ejpam-1623	259	254	(	(	PUNCT
ejpam-1623	259	255	q	q	X
ejpam-1623	259	256	)	)	PUNCT
ejpam-1623	259	257	=	=	SYM
ejpam-1623	259	258	1	1	NUM
ejpam-1623	259	259	191	191	NUM
ejpam-1623	259	260	∞	∞	NUM
ejpam-1623	259	261	∑	∑	PUNCT
ejpam-1623	259	262	n=1	n=1	PROPN
ejpam-1623	259	263	∑	∑	PUNCT
ejpam-1623	259	264	ψ1⊕λ1	ψ1⊕λ1	NOUN
ejpam-1623	259	265	=	=	NOUN
ejpam-1623	259	266	n	n	X
ejpam-1623	259	267	(	(	PUNCT
ejpam-1623	259	268	191x2	191x2	NUM
ejpam-1623	259	269	2	2	NUM
ejpam-1623	259	270	−	−	PROPN
ejpam-1623	259	271	3(ψ1⊕λ1))q	3(ψ1⊕λ1))q	NUM
ejpam-1623	259	272	n	n	CCONJ
ejpam-1623	259	273	,	,	PUNCT
ejpam-1623	259	274	θψ1⊕υ1,ϕ33	θψ1⊕υ1,ϕ33	PROPN
ejpam-1623	259	275	(	(	PUNCT
ejpam-1623	259	276	q	q	X
ejpam-1623	259	277	)	)	PUNCT
ejpam-1623	259	278	=	=	SYM
ejpam-1623	259	279	1	1	NUM
ejpam-1623	259	280	191	191	NUM
ejpam-1623	259	281	∞	∞	NUM
ejpam-1623	259	282	∑	∑	PUNCT
ejpam-1623	259	283	n=1	n=1	PROPN
ejpam-1623	259	284	∑	∑	PART
ejpam-1623	259	285	ψ1⊕υ1	ψ1⊕υ1	NOUN
ejpam-1623	259	286	=	=	SYM
ejpam-1623	259	287	n	n	X
ejpam-1623	259	288	(	(	PUNCT
ejpam-1623	259	289	191x2	191x2	NUM
ejpam-1623	259	290	3	3	NUM
ejpam-1623	259	291	−	−	PROPN
ejpam-1623	259	292	10(ψ1⊕υ1))q	10(ψ1⊕υ1))q	NUM
ejpam-1623	259	293	n	n	CCONJ
ejpam-1623	259	294	,	,	PUNCT
ejpam-1623	259	295	θψ1⊕υ1,ϕ44	θψ1⊕υ1,ϕ44	VERB
ejpam-1623	259	296	(	(	PUNCT
ejpam-1623	259	297	q	q	X
ejpam-1623	259	298	)	)	PUNCT
ejpam-1623	259	299	=	=	SYM
ejpam-1623	259	300	1	1	NUM
ejpam-1623	259	301	191	191	NUM
ejpam-1623	259	302	∞	∞	NUM
ejpam-1623	259	303	∑	∑	PUNCT
ejpam-1623	259	304	n=1	n=1	PROPN
ejpam-1623	259	305	∑	∑	PART
ejpam-1623	259	306	ψ1⊕υ1	ψ1⊕υ1	NOUN
ejpam-1623	259	307	=	=	SYM
ejpam-1623	259	308	n	n	X
ejpam-1623	259	309	(	(	PUNCT
ejpam-1623	259	310	191x2	191x2	NUM
ejpam-1623	259	311	4	4	NUM
ejpam-1623	259	312	−	−	NUM
ejpam-1623	259	313	5(ψ1⊕υ1))q	5(ψ1⊕υ1))q	NUM
ejpam-1623	259	314	n	n	NOUN
ejpam-1623	259	315	,	,	PUNCT
ejpam-1623	259	316	b.	b.	PROPN
ejpam-1623	259	317	köklüce	köklüce	PROPN
ejpam-1623	259	318	/	/	SYM
ejpam-1623	259	319	eur	eur	PROPN
ejpam-1623	259	320	.	.	PUNCT
ejpam-1623	260	1	j.	j.	PROPN
ejpam-1623	260	2	pure	pure	PROPN
ejpam-1623	260	3	appl	appl	PROPN
ejpam-1623	260	4	.	.	PROPN
ejpam-1623	260	5	math	math	PROPN
ejpam-1623	260	6	,	,	PUNCT
ejpam-1623	260	7	5	5	NUM
ejpam-1623	260	8	(	(	PUNCT
ejpam-1623	260	9	2012	2012	NUM
ejpam-1623	260	10	)	)	PUNCT
ejpam-1623	260	11	,	,	PUNCT
ejpam-1623	260	12	451	451	NUM
ejpam-1623	260	13	-	-	SYM
ejpam-1623	260	14	468	468	NUM
ejpam-1623	260	15	463	463	NUM
ejpam-1623	260	16	θψ1⊕ω1,ϕ12	θψ1⊕ω1,ϕ12	NOUN
ejpam-1623	260	17	(	(	PUNCT
ejpam-1623	260	18	q	q	NOUN
ejpam-1623	260	19	)	)	PUNCT
ejpam-1623	260	20	=	=	SYM
ejpam-1623	260	21	1	1	NUM
ejpam-1623	260	22	191	191	NUM
ejpam-1623	260	23	∞	∞	NUM
ejpam-1623	260	24	∑	∑	PUNCT
ejpam-1623	260	25	n=1	n=1	PROPN
ejpam-1623	260	26	∑	∑	ADV
ejpam-1623	260	27	ψ1⊕ω1	ψ1⊕ω1	X
ejpam-1623	260	28	=	=	NOUN
ejpam-1623	260	29	n	n	X
ejpam-1623	260	30	(	(	PUNCT
ejpam-1623	260	31	191x1x2	191x1x2	NUM
ejpam-1623	260	32	+	+	CCONJ
ejpam-1623	260	33	1	1	NUM
ejpam-1623	260	34	2	2	NUM
ejpam-1623	260	35	(	(	PUNCT
ejpam-1623	260	36	ψ1⊕ω1))q	ψ1⊕ω1))q	PROPN
ejpam-1623	260	37	n	n	CCONJ
ejpam-1623	260	38	,	,	PUNCT
ejpam-1623	260	39	θψ1⊕ω1,ϕ33	θψ1⊕ω1,ϕ33	PROPN
ejpam-1623	260	40	(	(	PUNCT
ejpam-1623	260	41	q	q	X
ejpam-1623	260	42	)	)	PUNCT
ejpam-1623	260	43	=	=	SYM
ejpam-1623	260	44	1	1	NUM
ejpam-1623	260	45	191	191	NUM
ejpam-1623	260	46	∞	∞	NUM
ejpam-1623	260	47	∑	∑	PUNCT
ejpam-1623	260	48	n=1	n=1	PROPN
ejpam-1623	260	49	∑	∑	ADV
ejpam-1623	260	50	ψ1⊕ω1	ψ1⊕ω1	X
ejpam-1623	260	51	=	=	SYM
ejpam-1623	260	52	n	n	X
ejpam-1623	260	53	(	(	PUNCT
ejpam-1623	260	54	191x2	191x2	NUM
ejpam-1623	260	55	3	3	NUM
ejpam-1623	260	56	−	−	PROPN
ejpam-1623	260	57	8(ψ1⊕ω1))q	8(ψ1⊕ω1))q	NUM
ejpam-1623	260	58	n	n	CCONJ
ejpam-1623	260	59	,	,	PUNCT
ejpam-1623	260	60	θψ1⊕π1	θψ1⊕π1	PROPN
ejpam-1623	260	61	,	,	PUNCT
ejpam-1623	260	62	ϕ11	ϕ11	PROPN
ejpam-1623	260	63	(	(	PUNCT
ejpam-1623	260	64	q	q	NOUN
ejpam-1623	260	65	)	)	PUNCT
ejpam-1623	260	66	=	=	SYM
ejpam-1623	260	67	1	1	NUM
ejpam-1623	260	68	191	191	NUM
ejpam-1623	260	69	∞	∞	NUM
ejpam-1623	260	70	∑	∑	PUNCT
ejpam-1623	260	71	n=1	n=1	PROPN
ejpam-1623	260	72	∑	∑	ADV
ejpam-1623	260	73	ψ1⊕π1	ψ1⊕π1	PROPN
ejpam-1623	260	74	=	=	PROPN
ejpam-1623	260	75	n	n	X
ejpam-1623	260	76	(	(	PUNCT
ejpam-1623	260	77	191x2	191x2	NUM
ejpam-1623	260	78	1	1	NUM
ejpam-1623	260	79	−	−	PROPN
ejpam-1623	260	80	16(ψ1⊕π1))q	16(ψ1⊕π1))q	NUM
ejpam-1623	260	81	n	n	CCONJ
ejpam-1623	260	82	,	,	PUNCT
ejpam-1623	260	83	θψ1⊕π1	θψ1⊕π1	PROPN
ejpam-1623	260	84	,	,	PUNCT
ejpam-1623	260	85	ϕ34	ϕ34	NOUN
ejpam-1623	260	86	(	(	PUNCT
ejpam-1623	260	87	q	q	X
ejpam-1623	260	88	)	)	PUNCT
ejpam-1623	260	89	=	=	SYM
ejpam-1623	260	90	1	1	NUM
ejpam-1623	260	91	191	191	NUM
ejpam-1623	260	92	∞	∞	NUM
ejpam-1623	260	93	∑	∑	PUNCT
ejpam-1623	260	94	n=1	n=1	PROPN
ejpam-1623	260	95	∑	∑	ADV
ejpam-1623	260	96	ψ1⊕π1	ψ1⊕π1	PROPN
ejpam-1623	260	97	=	=	PROPN
ejpam-1623	260	98	n	n	X
ejpam-1623	260	99	(	(	PUNCT
ejpam-1623	260	100	191x3x4	191x3x4	NUM
ejpam-1623	260	101	+	+	SYM
ejpam-1623	260	102	5	5	NUM
ejpam-1623	260	103	2	2	NUM
ejpam-1623	260	104	(	(	PUNCT
ejpam-1623	260	105	ψ1⊕π1))q	ψ1⊕π1))q	NOUN
ejpam-1623	260	106	n	n	CCONJ
ejpam-1623	260	107	,	,	PUNCT
ejpam-1623	260	108	θλ1⊕υ1,ϕ11	θλ1⊕υ1,ϕ11	PROPN
ejpam-1623	260	109	(	(	PUNCT
ejpam-1623	260	110	q	q	X
ejpam-1623	260	111	)	)	PUNCT
ejpam-1623	260	112	=	=	SYM
ejpam-1623	260	113	1	1	NUM
ejpam-1623	260	114	191	191	NUM
ejpam-1623	260	115	∞	∞	NUM
ejpam-1623	260	116	∑	∑	PUNCT
ejpam-1623	260	117	n=1	n=1	X
ejpam-1623	260	118	∑	∑	PUNCT
ejpam-1623	260	119	λ1⊕υ1	λ1⊕υ1	X
ejpam-1623	260	120	=	=	SYM
ejpam-1623	260	121	n	n	X
ejpam-1623	260	122	(	(	PUNCT
ejpam-1623	260	123	191x2	191x2	NUM
ejpam-1623	260	124	1	1	NUM
ejpam-1623	260	125	−	−	PROPN
ejpam-1623	260	126	12(λ1⊕υ1))q	12(λ1⊕υ1))q	NUM
ejpam-1623	260	127	n	n	CCONJ
ejpam-1623	260	128	,	,	PUNCT
ejpam-1623	260	129	θλ1⊕υ1,ϕ22	θλ1⊕υ1,ϕ22	X
ejpam-1623	260	130	(	(	PUNCT
ejpam-1623	260	131	q	q	X
ejpam-1623	260	132	)	)	PUNCT
ejpam-1623	260	133	=	=	SYM
ejpam-1623	260	134	1	1	NUM
ejpam-1623	260	135	191	191	NUM
ejpam-1623	260	136	∞	∞	NUM
ejpam-1623	260	137	∑	∑	PUNCT
ejpam-1623	260	138	n=1	n=1	X
ejpam-1623	260	139	∑	∑	PUNCT
ejpam-1623	260	140	λ1⊕υ1	λ1⊕υ1	X
ejpam-1623	260	141	=	=	SYM
ejpam-1623	260	142	n	n	X
ejpam-1623	260	143	(	(	PUNCT
ejpam-1623	260	144	191x2	191x2	NUM
ejpam-1623	260	145	2	2	NUM
ejpam-1623	260	146	−	−	PROPN
ejpam-1623	260	147	4(λ1⊕υ1))q	4(λ1⊕υ1))q	NUM
ejpam-1623	260	148	n	n	CCONJ
ejpam-1623	260	149	,	,	PUNCT
ejpam-1623	260	150	θλ1⊕ω1,ϕ33	θλ1⊕ω1,ϕ33	PROPN
ejpam-1623	260	151	(	(	PUNCT
ejpam-1623	260	152	q	q	X
ejpam-1623	260	153	)	)	PUNCT
ejpam-1623	260	154	=	=	SYM
ejpam-1623	260	155	1	1	NUM
ejpam-1623	260	156	191	191	NUM
ejpam-1623	260	157	∞	∞	NUM
ejpam-1623	260	158	∑	∑	PUNCT
ejpam-1623	260	159	n=1	n=1	PROPN
ejpam-1623	260	160	∑	∑	NOUN
ejpam-1623	260	161	λ1⊕ω1	λ1⊕ω1	X
ejpam-1623	260	162	=	=	SYM
ejpam-1623	260	163	n	n	X
ejpam-1623	260	164	(	(	PUNCT
ejpam-1623	260	165	191x2	191x2	NUM
ejpam-1623	260	166	3	3	NUM
ejpam-1623	260	167	−	−	PROPN
ejpam-1623	260	168	8(λ1⊕ω1))q	8(λ1⊕ω1))q	NUM
ejpam-1623	260	169	n	n	CCONJ
ejpam-1623	260	170	,	,	PUNCT
ejpam-1623	260	171	θλ1⊕ω1,ϕ44	θλ1⊕ω1,ϕ44	VERB
ejpam-1623	260	172	(	(	PUNCT
ejpam-1623	260	173	q	q	X
ejpam-1623	260	174	)	)	PUNCT
ejpam-1623	260	175	=	=	SYM
ejpam-1623	260	176	1	1	NUM
ejpam-1623	260	177	191	191	NUM
ejpam-1623	260	178	∞	∞	NUM
ejpam-1623	260	179	∑	∑	PUNCT
ejpam-1623	260	180	n=1	n=1	PROPN
ejpam-1623	260	181	∑	∑	NOUN
ejpam-1623	260	182	λ1⊕ω1	λ1⊕ω1	X
ejpam-1623	260	183	=	=	SYM
ejpam-1623	260	184	n	n	X
ejpam-1623	260	185	(	(	PUNCT
ejpam-1623	260	186	191x2	191x2	NUM
ejpam-1623	260	187	4	4	NUM
ejpam-1623	260	188	−	−	NOUN
ejpam-1623	260	189	6(λ1⊕ω1))q	6(λ1⊕ω1))q	NUM
ejpam-1623	260	190	n.	n.	NOUN
ejpam-1623	260	191	proof	proof	NOUN
ejpam-1623	260	192	.	.	PUNCT
ejpam-1623	261	1	f2	f2	PROPN
ejpam-1623	261	2	=	=	SYM
ejpam-1623	261	3	x2	x2	NOUN
ejpam-1623	261	4	1	1	NUM
ejpam-1623	262	1	+	+	NUM
ejpam-1623	262	2	x1	x1	NUM
ejpam-1623	263	1	x2	x2	PROPN
ejpam-1623	264	1	+	+	CCONJ
ejpam-1623	264	2	48x2	48x2	NUM
ejpam-1623	264	3	2	2	NUM
ejpam-1623	265	1	+	+	NUM
ejpam-1623	265	2	x2	x2	PROPN
ejpam-1623	265	3	3	3	NUM
ejpam-1623	265	4	+	+	CCONJ
ejpam-1623	265	5	x3	x3	PROPN
ejpam-1623	265	6	x4	x4	PROPN
ejpam-1623	265	7	+	+	PROPN
ejpam-1623	266	1	48x2	48x2	NUM
ejpam-1623	266	2	4	4	NUM
ejpam-1623	266	3	=	=	SYM
ejpam-1623	266	4	n	n	PRON
ejpam-1623	266	5	has	have	VERB
ejpam-1623	266	6	the	the	DET
ejpam-1623	266	7	following	follow	VERB
ejpam-1623	266	8	solutions	solution	NOUN
ejpam-1623	266	9	;	;	PUNCT
ejpam-1623	266	10	n=	n=	ADJ
ejpam-1623	266	11	1⇒	1⇒	PROPN
ejpam-1623	266	12	the	the	DET
ejpam-1623	266	13	solutions	solution	NOUN
ejpam-1623	266	14	are	be	AUX
ejpam-1623	266	15	;	;	PUNCT
ejpam-1623	266	16	(	(	PUNCT
ejpam-1623	266	17	±1,0,0,0	±1,0,0,0	NOUN
ejpam-1623	266	18	)	)	PUNCT
ejpam-1623	266	19	,	,	PUNCT
ejpam-1623	266	20	(	(	PUNCT
ejpam-1623	266	21	0,0,±1,0	0,0,±1,0	NUM
ejpam-1623	266	22	)	)	PUNCT
ejpam-1623	266	23	,	,	PUNCT
ejpam-1623	266	24	n=	n=	ADJ
ejpam-1623	266	25	2⇒	2⇒	PROPN
ejpam-1623	266	26	the	the	DET
ejpam-1623	266	27	solutions	solution	NOUN
ejpam-1623	266	28	are;(±1,0,±1,0	are;(±1,0,±1,0	PROPN
ejpam-1623	266	29	)	)	PUNCT
ejpam-1623	266	30	,	,	PUNCT
ejpam-1623	266	31	n=	n=	ADJ
ejpam-1623	266	32	4⇒	4⇒	NOUN
ejpam-1623	266	33	the	the	DET
ejpam-1623	266	34	solutions	solution	NOUN
ejpam-1623	266	35	are	be	AUX
ejpam-1623	266	36	;	;	PUNCT
ejpam-1623	266	37	(	(	PUNCT
ejpam-1623	266	38	±2,0,0,0	±2,0,0,0	NOUN
ejpam-1623	266	39	)	)	PUNCT
ejpam-1623	266	40	,	,	PUNCT
ejpam-1623	266	41	(	(	PUNCT
ejpam-1623	266	42	0,0,±2,0	0,0,±2,0	NUM
ejpam-1623	266	43	)	)	PUNCT
ejpam-1623	266	44	,	,	PUNCT
ejpam-1623	266	45	n=	n=	ADJ
ejpam-1623	266	46	5⇒	5⇒	VERB
ejpam-1623	266	47	the	the	DET
ejpam-1623	266	48	solutions	solution	NOUN
ejpam-1623	266	49	are;(±2,0,±1,0	are;(±2,0,±1,0	PROPN
ejpam-1623	266	50	)	)	PUNCT
ejpam-1623	266	51	,	,	PUNCT
ejpam-1623	266	52	(	(	PUNCT
ejpam-1623	266	53	±1,0,±2,0	±1,0,±2,0	NOUN
ejpam-1623	266	54	)	)	PUNCT
ejpam-1623	266	55	,	,	PUNCT
ejpam-1623	266	56	n=	n=	PROPN
ejpam-1623	266	57	8⇒	8⇒	VERB
ejpam-1623	266	58	the	the	DET
ejpam-1623	266	59	solutions	solution	NOUN
ejpam-1623	266	60	are;(±2,0,±2,0	are;(±2,0,±2,0	PROPN
ejpam-1623	266	61	)	)	PUNCT
ejpam-1623	266	62	,	,	PUNCT
ejpam-1623	266	63	n=	n=	ADJ
ejpam-1623	266	64	9⇒	9⇒	NUM
ejpam-1623	266	65	the	the	DET
ejpam-1623	266	66	solutions	solution	NOUN
ejpam-1623	266	67	are;(±3,0,0,0	are;(±3,0,0,0	NOUN
ejpam-1623	266	68	)	)	PUNCT
ejpam-1623	266	69	,	,	PUNCT
ejpam-1623	266	70	(	(	PUNCT
ejpam-1623	266	71	0,0,±3,0	0,0,±3,0	NUM
ejpam-1623	266	72	)	)	PUNCT
ejpam-1623	266	73	,	,	PUNCT
ejpam-1623	266	74	n=	n=	ADJ
ejpam-1623	266	75	10⇒	10⇒	NUM
ejpam-1623	266	76	the	the	DET
ejpam-1623	266	77	solutions	solution	NOUN
ejpam-1623	266	78	are;(±3,0,±1,0	are;(±3,0,±1,0	PROPN
ejpam-1623	266	79	)	)	PUNCT
ejpam-1623	266	80	,	,	PUNCT
ejpam-1623	266	81	(	(	PUNCT
ejpam-1623	266	82	±1,0,±3,0	±1,0,±3,0	CCONJ
ejpam-1623	266	83	)	)	PUNCT
ejpam-1623	266	84	,	,	PUNCT
ejpam-1623	266	85	n=	n=	ADJ
ejpam-1623	266	86	13⇒	13⇒	NUM
ejpam-1623	266	87	the	the	DET
ejpam-1623	266	88	solutions	solution	NOUN
ejpam-1623	266	89	are;(±3,0,±2,0	are;(±3,0,±2,0	PROPN
ejpam-1623	266	90	)	)	PUNCT
ejpam-1623	266	91	,	,	PUNCT
ejpam-1623	266	92	(	(	PUNCT
ejpam-1623	266	93	±2,0,±3,0	±2,0,±3,0	NOUN
ejpam-1623	266	94	)	)	PUNCT
ejpam-1623	266	95	,	,	PUNCT
ejpam-1623	266	96	n=	n=	ADJ
ejpam-1623	266	97	16⇒	16⇒	NUM
ejpam-1623	266	98	the	the	DET
ejpam-1623	266	99	solutions	solution	NOUN
ejpam-1623	266	100	are;(±4,0,0,0	are;(±4,0,0,0	NOUN
ejpam-1623	266	101	)	)	PUNCT
ejpam-1623	266	102	,	,	PUNCT
ejpam-1623	266	103	(	(	PUNCT
ejpam-1623	266	104	0,0,±4,0	0,0,±4,0	NUM
ejpam-1623	266	105	)	)	PUNCT
ejpam-1623	266	106	,	,	PUNCT
ejpam-1623	266	107	n=	n=	ADJ
ejpam-1623	266	108	17⇒	17⇒	NUM
ejpam-1623	266	109	the	the	DET
ejpam-1623	266	110	solutions	solution	NOUN
ejpam-1623	266	111	are;(±4,0,±1,0	are;(±4,0,±1,0	PROPN
ejpam-1623	266	112	)	)	PUNCT
ejpam-1623	266	113	,	,	PUNCT
ejpam-1623	266	114	(	(	PUNCT
ejpam-1623	266	115	±1,0,±4,0	±1,0,±4,0	NUM
ejpam-1623	266	116	)	)	PUNCT
ejpam-1623	266	117	,	,	PUNCT
ejpam-1623	266	118	n=	n=	ADJ
ejpam-1623	266	119	18⇒	18⇒	NUM
ejpam-1623	266	120	the	the	DET
ejpam-1623	266	121	solutions	solution	NOUN
ejpam-1623	266	122	are;(±3,0,±3,0	are;(±3,0,±3,0	PROPN
ejpam-1623	266	123	)	)	PUNCT
ejpam-1623	266	124	,	,	PUNCT
ejpam-1623	266	125	n=	n=	ADJ
ejpam-1623	266	126	20⇒	20⇒	NUM
ejpam-1623	266	127	the	the	DET
ejpam-1623	266	128	solutions	solution	NOUN
ejpam-1623	266	129	are;(±4,0,±2,0	are;(±4,0,±2,0	PROPN
ejpam-1623	266	130	)	)	PUNCT
ejpam-1623	266	131	,	,	PUNCT
ejpam-1623	266	132	(	(	PUNCT
ejpam-1623	266	133	±2,0,±4,0	±2,0,±4,0	ADV
ejpam-1623	266	134	)	)	PUNCT
ejpam-1623	266	135	,	,	PUNCT
ejpam-1623	266	136	n=	n=	ADJ
ejpam-1623	266	137	25⇒	25⇒	NUM
ejpam-1623	266	138	the	the	DET
ejpam-1623	266	139	solutions	solution	NOUN
ejpam-1623	266	140	are;(±5,0,0,0	are;(±5,0,0,0	NOUN
ejpam-1623	266	141	)	)	PUNCT
ejpam-1623	266	142	,	,	PUNCT
ejpam-1623	266	143	(	(	PUNCT
ejpam-1623	266	144	0,0,±5,0	0,0,±5,0	NUM
ejpam-1623	266	145	)	)	PUNCT
ejpam-1623	266	146	,	,	PUNCT
ejpam-1623	266	147	(	(	PUNCT
ejpam-1623	266	148	±4,0,±3,0	±4,0,±3,0	ADJ
ejpam-1623	266	149	)	)	PUNCT
ejpam-1623	266	150	,	,	PUNCT
ejpam-1623	266	151	(	(	PUNCT
ejpam-1623	266	152	±3,0,±4,0	±3,0,±4,0	NOUN
ejpam-1623	266	153	)	)	PUNCT
ejpam-1623	266	154	,	,	PUNCT
ejpam-1623	266	155	n=	n=	ADJ
ejpam-1623	266	156	26⇒	26⇒	NUM
ejpam-1623	266	157	the	the	DET
ejpam-1623	266	158	solutions	solution	NOUN
ejpam-1623	266	159	are;(±5,0,±1,0	are;(±5,0,±1,0	PROPN
ejpam-1623	266	160	)	)	PUNCT
ejpam-1623	266	161	,	,	PUNCT
ejpam-1623	266	162	(	(	PUNCT
ejpam-1623	266	163	±1,0,±5,0	±1,0,±5,0	NOUN
ejpam-1623	266	164	)	)	PUNCT
ejpam-1623	266	165	,	,	PUNCT
ejpam-1623	266	166	n=	n=	ADJ
ejpam-1623	266	167	29⇒	29⇒	NUM
ejpam-1623	266	168	the	the	DET
ejpam-1623	266	169	solutions	solution	NOUN
ejpam-1623	266	170	are;(±5,0,±2,0	are;(±5,0,±2,0	PROPN
ejpam-1623	266	171	)	)	PUNCT
ejpam-1623	266	172	,	,	PUNCT
ejpam-1623	266	173	(	(	PUNCT
ejpam-1623	266	174	±2,0,±5,0	±2,0,±5,0	PROPN
ejpam-1623	266	175	)	)	PUNCT
ejpam-1623	266	176	,	,	PUNCT
ejpam-1623	266	177	n=	n=	ADJ
ejpam-1623	266	178	32⇒	32⇒	NUM
ejpam-1623	266	179	the	the	DET
ejpam-1623	266	180	solutions	solution	NOUN
ejpam-1623	266	181	are;(±4,0,±4,0	are;(±4,0,±4,0	PROPN
ejpam-1623	266	182	)	)	PUNCT
ejpam-1623	266	183	,	,	PUNCT
ejpam-1623	266	184	n=	n=	ADJ
ejpam-1623	266	185	34⇒	34⇒	NUM
ejpam-1623	266	186	the	the	DET
ejpam-1623	266	187	solutions	solution	NOUN
ejpam-1623	266	188	are;(±5,0,±3,0	are;(±5,0,±3,0	NUM
ejpam-1623	266	189	)	)	PUNCT
ejpam-1623	266	190	,	,	PUNCT
ejpam-1623	266	191	(	(	PUNCT
ejpam-1623	266	192	±3,0,±5,0	±3,0,±5,0	NOUN
ejpam-1623	266	193	)	)	PUNCT
ejpam-1623	266	194	,	,	PUNCT
ejpam-1623	266	195	n=	n=	ADJ
ejpam-1623	266	196	36⇒	36⇒	NUM
ejpam-1623	266	197	the	the	DET
ejpam-1623	266	198	solutions	solution	NOUN
ejpam-1623	266	199	are;(±6,0,0,0	are;(±6,0,0,0	NOUN
ejpam-1623	266	200	)	)	PUNCT
ejpam-1623	266	201	,	,	PUNCT
ejpam-1623	266	202	(	(	PUNCT
ejpam-1623	266	203	0,0,±6,0	0,0,±6,0	NOUN
ejpam-1623	266	204	)	)	PUNCT
ejpam-1623	266	205	,	,	PUNCT
ejpam-1623	266	206	n=	n=	ADJ
ejpam-1623	266	207	37⇒	37⇒	NUM
ejpam-1623	266	208	the	the	DET
ejpam-1623	266	209	solutions	solution	NOUN
ejpam-1623	266	210	are;(±6,0,±1,0	are;(±6,0,±1,0	PROPN
ejpam-1623	266	211	)	)	PUNCT
ejpam-1623	266	212	,	,	PUNCT
ejpam-1623	266	213	(	(	PUNCT
ejpam-1623	266	214	±1,0,±6,0	±1,0,±6,0	NOUN
ejpam-1623	266	215	)	)	PUNCT
ejpam-1623	266	216	,	,	PUNCT
ejpam-1623	266	217	b.	b.	PROPN
ejpam-1623	266	218	köklüce	köklüce	PROPN
ejpam-1623	266	219	/	/	SYM
ejpam-1623	266	220	eur	eur	PROPN
ejpam-1623	266	221	.	.	PUNCT
ejpam-1623	267	1	j.	j.	PROPN
ejpam-1623	267	2	pure	pure	PROPN
ejpam-1623	267	3	appl	appl	PROPN
ejpam-1623	267	4	.	.	PROPN
ejpam-1623	267	5	math	math	PROPN
ejpam-1623	267	6	,	,	PUNCT
ejpam-1623	267	7	5	5	NUM
ejpam-1623	267	8	(	(	PUNCT
ejpam-1623	267	9	2012	2012	NUM
ejpam-1623	267	10	)	)	PUNCT
ejpam-1623	267	11	,	,	PUNCT
ejpam-1623	267	12	451	451	NUM
ejpam-1623	267	13	-	-	SYM
ejpam-1623	267	14	468	468	NUM
ejpam-1623	267	15	464	464	NUM
ejpam-1623	267	16	n=	n=	ADJ
ejpam-1623	267	17	40⇒	40⇒	NOUN
ejpam-1623	268	1	the	the	DET
ejpam-1623	268	2	solutions	solution	NOUN
ejpam-1623	268	3	are;(±6,0,±2,0	are;(±6,0,±2,0	NOUN
ejpam-1623	268	4	)	)	PUNCT
ejpam-1623	268	5	,	,	PUNCT
ejpam-1623	268	6	(	(	PUNCT
ejpam-1623	268	7	±2,0,±6,0	±2,0,±6,0	INTJ
ejpam-1623	268	8	)	)	PUNCT
ejpam-1623	268	9	,	,	PUNCT
ejpam-1623	268	10	n=	n=	ADJ
ejpam-1623	268	11	41⇒	41⇒	NUM
ejpam-1623	268	12	the	the	DET
ejpam-1623	268	13	solutions	solution	NOUN
ejpam-1623	268	14	are;(±5,0,±4,0	are;(±5,0,±4,0	PROPN
ejpam-1623	268	15	)	)	PUNCT
ejpam-1623	268	16	,	,	PUNCT
ejpam-1623	268	17	(	(	PUNCT
ejpam-1623	268	18	±4,0,±5,0	±4,0,±5,0	NOUN
ejpam-1623	268	19	)	)	PUNCT
ejpam-1623	268	20	,	,	PUNCT
ejpam-1623	268	21	n=	n=	ADJ
ejpam-1623	268	22	45⇒	45⇒	NUM
ejpam-1623	268	23	the	the	DET
ejpam-1623	268	24	solutions	solution	NOUN
ejpam-1623	268	25	are;(±6,0,±3,0	are;(±6,0,±3,0	PROPN
ejpam-1623	268	26	)	)	PUNCT
ejpam-1623	268	27	,	,	PUNCT
ejpam-1623	268	28	(	(	PUNCT
ejpam-1623	268	29	±3,0,±6,0	±3,0,±6,0	NOUN
ejpam-1623	268	30	)	)	PUNCT
ejpam-1623	268	31	,	,	PUNCT
ejpam-1623	268	32	and	and	CCONJ
ejpam-1623	268	33	for	for	ADP
ejpam-1623	268	34	n	n	PRON
ejpam-1623	268	35	=3	=3	VERB
ejpam-1623	268	36	,	,	PUNCT
ejpam-1623	268	37	6	6	NUM
ejpam-1623	268	38	,	,	PUNCT
ejpam-1623	268	39	7	7	NUM
ejpam-1623	268	40	,	,	PUNCT
ejpam-1623	268	41	11	11	NUM
ejpam-1623	268	42	,	,	PUNCT
ejpam-1623	268	43	12	12	NUM
ejpam-1623	268	44	,	,	PUNCT
ejpam-1623	268	45	14	14	NUM
ejpam-1623	268	46	,	,	PUNCT
ejpam-1623	268	47	15	15	NUM
ejpam-1623	268	48	,	,	PUNCT
ejpam-1623	268	49	19	19	NUM
ejpam-1623	268	50	,	,	PUNCT
ejpam-1623	268	51	21	21	NUM
ejpam-1623	268	52	,	,	PUNCT
ejpam-1623	268	53	22	22	NUM
ejpam-1623	268	54	,	,	PUNCT
ejpam-1623	268	55	23	23	NUM
ejpam-1623	268	56	,	,	PUNCT
ejpam-1623	268	57	24	24	NUM
ejpam-1623	268	58	,	,	PUNCT
ejpam-1623	268	59	27	27	NUM
ejpam-1623	268	60	,	,	PUNCT
ejpam-1623	268	61	28	28	NUM
ejpam-1623	268	62	,	,	PUNCT
ejpam-1623	268	63	30	30	NUM
ejpam-1623	268	64	,	,	PUNCT
ejpam-1623	268	65	31	31	NUM
ejpam-1623	268	66	,	,	PUNCT
ejpam-1623	268	67	33	33	NUM
ejpam-1623	268	68	,	,	PUNCT
ejpam-1623	268	69	35	35	NUM
ejpam-1623	268	70	,	,	PUNCT
ejpam-1623	268	71	38	38	NUM
ejpam-1623	268	72	,	,	PUNCT
ejpam-1623	268	73	39	39	NUM
ejpam-1623	268	74	,	,	PUNCT
ejpam-1623	268	75	42	42	NUM
ejpam-1623	268	76	,	,	PUNCT
ejpam-1623	268	77	43	43	NUM
ejpam-1623	268	78	,	,	PUNCT
ejpam-1623	268	79	44	44	NUM
ejpam-1623	268	80	,	,	PUNCT
ejpam-1623	268	81	46	46	NUM
ejpam-1623	268	82	there	there	PRON
ejpam-1623	268	83	is	be	VERB
ejpam-1623	268	84	no	no	DET
ejpam-1623	268	85	integral	integral	ADJ
ejpam-1623	268	86	solution	solution	NOUN
ejpam-1623	268	87	.	.	PUNCT
ejpam-1623	269	1	hence	hence	ADV
ejpam-1623	269	2	;	;	PUNCT
ejpam-1623	269	3	θf2,ϕ11	θf2,ϕ11	X
ejpam-1623	269	4	(	(	PUNCT
ejpam-1623	269	5	q	q	NOUN
ejpam-1623	269	6	)	)	PUNCT
ejpam-1623	269	7	=	=	SYM
ejpam-1623	269	8	1	1	NUM
ejpam-1623	269	9	191	191	NUM
ejpam-1623	269	10	∞	∞	NUM
ejpam-1623	269	11	∑	∑	PUNCT
ejpam-1623	269	12	n=1	n=1	PROPN
ejpam-1623	269	13	∑	∑	ADV
ejpam-1623	269	14	f2	f2	PROPN
ejpam-1623	269	15	=	=	SYM
ejpam-1623	269	16	n	n	X
ejpam-1623	269	17	(	(	PUNCT
ejpam-1623	269	18	191x2	191x2	NUM
ejpam-1623	269	19	1	1	NUM
ejpam-1623	269	20	−	−	NOUN
ejpam-1623	269	21	48f2)q	48f2)q	NUM
ejpam-1623	269	22	n	n	NOUN
ejpam-1623	269	23	=	=	SYM
ejpam-1623	269	24	1	1	NUM
ejpam-1623	269	25	191	191	NUM
ejpam-1623	269	26	(	(	PUNCT
ejpam-1623	269	27	(	(	PUNCT
ejpam-1623	269	28	191.2−	191.2−	NUM
ejpam-1623	269	29	48.4)q+	48.4)q+	NUM
ejpam-1623	269	30	(	(	PUNCT
ejpam-1623	269	31	191.1.4−	191.1.4−	NUM
ejpam-1623	269	32	48.4.2)q2	48.4.2)q2	NUM
ejpam-1623	269	33	+	+	CCONJ
ejpam-1623	269	34	(	(	PUNCT
ejpam-1623	269	35	191.4.2−	191.4.2−	NUM
ejpam-1623	269	36	48.4.4)q4	48.4.4)q4	NUM
ejpam-1623	269	37	+	+	CCONJ
ejpam-1623	269	38	(	(	PUNCT
ejpam-1623	269	39	191.4.4	191.4.4	NUM
ejpam-1623	269	40	+	+	NUM
ejpam-1623	269	41	191.1.4−	191.1.4−	NUM
ejpam-1623	269	42	48.8.5)q5	48.8.5)q5	NOUN
ejpam-1623	269	43	+	+	CCONJ
ejpam-1623	269	44	(	(	PUNCT
ejpam-1623	269	45	191.4.4−	191.4.4−	NUM
ejpam-1623	269	46	48.4.8)q8	48.4.8)q8	NUM
ejpam-1623	269	47	+	+	CCONJ
ejpam-1623	269	48	(	(	PUNCT
ejpam-1623	269	49	191.9.2−	191.9.2−	NUM
ejpam-1623	269	50	48.4.9)q9	48.4.9)q9	NOUN
ejpam-1623	269	51	+	+	CCONJ
ejpam-1623	269	52	(	(	PUNCT
ejpam-1623	269	53	191.9.4	191.9.4	NUM
ejpam-1623	269	54	+	+	CCONJ
ejpam-1623	269	55	191.1.4−	191.1.4−	NUM
ejpam-1623	269	56	48.8.10)q10	48.8.10)q10	NUM
ejpam-1623	269	57	+	+	SYM
ejpam-1623	269	58	(	(	PUNCT
ejpam-1623	269	59	191.9.4	191.9.4	NUM
ejpam-1623	269	60	+	+	NUM
ejpam-1623	269	61	191.4.4−	191.4.4−	NUM
ejpam-1623	269	62	48.8.13)q13	48.8.13)q13	NUM
ejpam-1623	269	63	+	+	CCONJ
ejpam-1623	269	64	(	(	PUNCT
ejpam-1623	269	65	191.16.2−	191.16.2−	NUM
ejpam-1623	269	66	48.4.16)q16	48.4.16)q16	NUM
ejpam-1623	269	67	+	+	SYM
ejpam-1623	269	68	(	(	PUNCT
ejpam-1623	269	69	191.16.4	191.16.4	NUM
ejpam-1623	269	70	+	+	SYM
ejpam-1623	269	71	191.1.4−	191.1.4−	NUM
ejpam-1623	269	72	48.8.17)q17	48.8.17)q17	NOUN
ejpam-1623	269	73	+	+	CCONJ
ejpam-1623	269	74	(	(	PUNCT
ejpam-1623	269	75	191.9.4−	191.9.4−	NUM
ejpam-1623	269	76	48.4.18)q18	48.4.18)q18	NUM
ejpam-1623	269	77	+	+	CCONJ
ejpam-1623	269	78	(	(	PUNCT
ejpam-1623	269	79	191.16.4	191.16.4	NUM
ejpam-1623	269	80	+	+	SYM
ejpam-1623	269	81	191.4.4−	191.4.4−	NUM
ejpam-1623	269	82	48.8.20)q20	48.8.20)q20	NUM
ejpam-1623	269	83	+	+	CCONJ
ejpam-1623	269	84	(	(	PUNCT
ejpam-1623	269	85	191.25.2	191.25.2	NUM
ejpam-1623	269	86	+	+	NUM
ejpam-1623	269	87	191.16.4	191.16.4	NUM
ejpam-1623	269	88	+	+	SYM
ejpam-1623	269	89	191.9.4−	191.9.4−	NUM
ejpam-1623	269	90	48.12.25)q25	48.12.25)q25	NOUN
ejpam-1623	269	91	+	+	CCONJ
ejpam-1623	269	92	(	(	PUNCT
ejpam-1623	269	93	191.25.4	191.25.4	NUM
ejpam-1623	269	94	+	+	NOUN
ejpam-1623	269	95	191.1.4−	191.1.4−	NUM
ejpam-1623	269	96	48.8.26)q26	48.8.26)q26	NUM
ejpam-1623	269	97	+	+	CCONJ
ejpam-1623	269	98	(	(	PUNCT
ejpam-1623	269	99	191.25.4	191.25.4	NUM
ejpam-1623	269	100	+	+	SYM
ejpam-1623	269	101	191.4.4−	191.4.4−	NUM
ejpam-1623	269	102	48.8.29)q29	48.8.29)q29	NUM
ejpam-1623	269	103	+	+	CCONJ
ejpam-1623	269	104	(	(	PUNCT
ejpam-1623	269	105	191.16.4−	191.16.4−	NUM
ejpam-1623	269	106	48.4.32)q32	48.4.32)q32	NOUN
ejpam-1623	269	107	+	+	CCONJ
ejpam-1623	269	108	(	(	PUNCT
ejpam-1623	269	109	191.25.4	191.25.4	NUM
ejpam-1623	269	110	+	+	SYM
ejpam-1623	269	111	191.9.4−	191.9.4−	NUM
ejpam-1623	269	112	48.8.34)q34	48.8.34)q34	NOUN
ejpam-1623	269	113	+	+	CCONJ
ejpam-1623	269	114	(	(	PUNCT
ejpam-1623	269	115	191.36.2−	191.36.2−	NUM
ejpam-1623	269	116	48.4.36)q36	48.4.36)q36	NUM
ejpam-1623	269	117	+	+	CCONJ
ejpam-1623	269	118	(	(	PUNCT
ejpam-1623	269	119	191.36.4	191.36.4	NUM
ejpam-1623	269	120	+	+	SYM
ejpam-1623	269	121	191.1.4−	191.1.4−	NUM
ejpam-1623	269	122	48.8.37)q37	48.8.37)q37	NUM
ejpam-1623	269	123	+	+	CCONJ
ejpam-1623	269	124	(	(	PUNCT
ejpam-1623	269	125	191.36.4	191.36.4	NUM
ejpam-1623	269	126	+	+	SYM
ejpam-1623	269	127	191.4.4−	191.4.4−	NUM
ejpam-1623	269	128	48.8.40)q40	48.8.40)q40	NOUN
ejpam-1623	269	129	+	+	CCONJ
ejpam-1623	269	130	(	(	PUNCT
ejpam-1623	269	131	191.25.4	191.25.4	NUM
ejpam-1623	269	132	+	+	SYM
ejpam-1623	269	133	191.16.4−	191.16.4−	NUM
ejpam-1623	269	134	48.8.41)q41	48.8.41)q41	NUM
ejpam-1623	269	135	+	+	CCONJ
ejpam-1623	269	136	(	(	PUNCT
ejpam-1623	269	137	191.36.4	191.36.4	NUM
ejpam-1623	269	138	+	+	SYM
ejpam-1623	269	139	191.9.4−	191.9.4−	NUM
ejpam-1623	269	140	48.8.45)q45	48.8.45)q45	NUM
ejpam-1623	269	141	+	+	NUM
ejpam-1623	269	142	.	.	PUNCT
ejpam-1623	269	143	.	.	PUNCT
ejpam-1623	269	144	.	.	PUNCT
ejpam-1623	269	145	)	)	PUNCT
ejpam-1623	270	1	therefore	therefore	ADV
ejpam-1623	270	2	,	,	PUNCT
ejpam-1623	270	3	θf2,ϕ11	θf2,ϕ11	X
ejpam-1623	270	4	(	(	PUNCT
ejpam-1623	270	5	q	q	NOUN
ejpam-1623	270	6	)	)	PUNCT
ejpam-1623	270	7	=	=	SYM
ejpam-1623	270	8	1	1	NUM
ejpam-1623	270	9	191	191	NUM
ejpam-1623	270	10	(	(	PUNCT
ejpam-1623	270	11	190q+	190q+	NUM
ejpam-1623	270	12	380q2	380q2	NUM
ejpam-1623	270	13	+	+	NOUN
ejpam-1623	271	1	760q4	760q4	NUM
ejpam-1623	271	2	+	+	NUM
ejpam-1623	271	3	1900q5	1900q5	NUM
ejpam-1623	271	4	+	+	X
ejpam-1623	271	5	1520q8	1520q8	NUM
ejpam-1623	271	6	+	+	SYM
ejpam-1623	271	7	1710q9	1710q9	NUM
ejpam-1623	271	8	+	+	CCONJ
ejpam-1623	271	9	3800q10	3800q10	NUM
ejpam-1623	271	10	+	+	NUM
ejpam-1623	271	11	4940q13	4940q13	ADJ
ejpam-1623	271	12	+	+	CCONJ
ejpam-1623	271	13	3040q16	3040q16	PROPN
ejpam-1623	271	14	+	+	NUM
ejpam-1623	271	15	6460q17	6460q17	NOUN
ejpam-1623	271	16	+	+	CCONJ
ejpam-1623	271	17	3420q18	3420q18	PROPN
ejpam-1623	271	18	+	+	ADJ
ejpam-1623	271	19	7600q20	7600q20	NUM
ejpam-1623	271	20	+	+	NOUN
ejpam-1623	271	21	14250q25	14250q25	NOUN
ejpam-1623	271	22	+	+	SYM
ejpam-1623	271	23	9880q26	9880q26	NUM
ejpam-1623	271	24	+	+	SYM
ejpam-1623	271	25	11020q29	11020q29	NUM
ejpam-1623	271	26	+	+	NUM
ejpam-1623	271	27	6080q32	6080q32	NOUN
ejpam-1623	271	28	+	+	NOUN
ejpam-1623	271	29	12920q34	12920q34	NUM
ejpam-1623	271	30	+	+	NUM
ejpam-1623	271	31	6840q36	6840q36	NOUN
ejpam-1623	271	32	+	+	CCONJ
ejpam-1623	271	33	14060q37	14060q37	NUM
ejpam-1623	272	1	+	+	CCONJ
ejpam-1623	272	2	15200q40	15200q40	PROPN
ejpam-1623	272	3	+	+	NOUN
ejpam-1623	272	4	15580q41	15580q41	NUM
ejpam-1623	272	5	+	+	NOUN
ejpam-1623	272	6	17100q45	17100q45	NUM
ejpam-1623	272	7	+	+	NUM
ejpam-1623	272	8	.	.	PUNCT
ejpam-1623	272	9	.	.	PUNCT
ejpam-1623	272	10	.	.	PUNCT
ejpam-1623	272	11	)	)	PUNCT
ejpam-1623	272	12	is	be	AUX
ejpam-1623	272	13	obtained	obtain	VERB
ejpam-1623	272	14	.	.	PUNCT
ejpam-1623	273	1	we	we	PRON
ejpam-1623	273	2	obtained	obtain	VERB
ejpam-1623	273	3	the	the	DET
ejpam-1623	273	4	remaining	remain	VERB
ejpam-1623	273	5	theta	theta	NOUN
ejpam-1623	273	6	series	series	NOUN
ejpam-1623	273	7	by	by	ADP
ejpam-1623	273	8	similar	similar	ADJ
ejpam-1623	273	9	calculations	calculation	NOUN
ejpam-1623	273	10	.	.	PUNCT
ejpam-1623	274	1	for	for	ADP
ejpam-1623	274	2	a	a	DET
ejpam-1623	274	3	complete	complete	ADJ
ejpam-1623	274	4	list	list	NOUN
ejpam-1623	274	5	of	of	ADP
ejpam-1623	274	6	theta	theta	PROPN
ejpam-1623	274	7	series	series	PROPN
ejpam-1623	274	8	see	see	VERB
ejpam-1623	274	9	table	table	NOUN
ejpam-1623	274	10	1	1	NUM
ejpam-1623	274	11	in	in	ADP
ejpam-1623	274	12	[	[	X
ejpam-1623	274	13	5	5	NUM
ejpam-1623	274	14	]	]	PUNCT
ejpam-1623	274	15	.	.	PUNCT
ejpam-1623	275	1	the	the	DET
ejpam-1623	275	2	calculations	calculation	NOUN
ejpam-1623	275	3	in	in	ADP
ejpam-1623	275	4	this	this	DET
ejpam-1623	275	5	article	article	NOUN
ejpam-1623	275	6	are	be	AUX
ejpam-1623	275	7	done	do	VERB
ejpam-1623	275	8	by	by	ADP
ejpam-1623	275	9	using	use	VERB
ejpam-1623	275	10	the	the	DET
ejpam-1623	275	11	software	software	NOUN
ejpam-1623	275	12	packages	package	NOUN
ejpam-1623	275	13	pari	pari	ADJ
ejpam-1623	275	14	gp	gp	NOUN
ejpam-1623	275	15	and	and	CCONJ
ejpam-1623	275	16	maple	maple	NOUN
ejpam-1623	275	17	.	.	PUNCT
ejpam-1623	276	1	the	the	DET
ejpam-1623	276	2	47−th	47−th	NOUN
ejpam-1623	276	3	determinant	determinant	ADJ
ejpam-1623	276	4	of	of	ADP
ejpam-1623	276	5	the	the	DET
ejpam-1623	276	6	coefficients	coefficient	NOUN
ejpam-1623	276	7	of	of	ADP
ejpam-1623	276	8	theta	theta	NOUN
ejpam-1623	276	9	series	series	NOUN
ejpam-1623	276	10	is	be	AUX
ejpam-1623	276	11	−54152562377765212169769805340948504021762461314755516203054592423781	−54152562377765212169769805340948504021762461314755516203054592423781	NUM
ejpam-1623	276	12	22484013765646204060917570748490727120039404251791740314128696213504	22484013765646204060917570748490727120039404251791740314128696213504	NUM
ejpam-1623	276	13	00000000	00000000	NUM
ejpam-1623	276	14	1	1	NUM
ejpam-1623	276	15	19147	19147	NUM
ejpam-1623	276	16	6=	6=	ADP
ejpam-1623	276	17	0	0	NUM
ejpam-1623	276	18	.	.	PUNCT
ejpam-1623	277	1	so	so	ADV
ejpam-1623	277	2	,	,	PUNCT
ejpam-1623	277	3	the	the	DET
ejpam-1623	277	4	theta	theta	NOUN
ejpam-1623	277	5	series	series	NOUN
ejpam-1623	277	6	in	in	ADP
ejpam-1623	277	7	theorem	theorem	PROPN
ejpam-1623	277	8	3	3	NUM
ejpam-1623	277	9	is	be	AUX
ejpam-1623	277	10	a	a	DET
ejpam-1623	277	11	basis	basis	NOUN
ejpam-1623	277	12	of	of	ADP
ejpam-1623	277	13	s4(γ0(191	s4(γ0(191	PROPN
ejpam-1623	277	14	)	)	PUNCT
ejpam-1623	277	15	)	)	PUNCT
ejpam-1623	277	16	.	.	PUNCT
ejpam-1623	278	1	b.	b.	PROPN
ejpam-1623	278	2	köklüce	köklüce	PROPN
ejpam-1623	278	3	/	/	SYM
ejpam-1623	278	4	eur	eur	PROPN
ejpam-1623	278	5	.	.	PUNCT
ejpam-1623	279	1	j.	j.	PROPN
ejpam-1623	279	2	pure	pure	PROPN
ejpam-1623	279	3	appl	appl	PROPN
ejpam-1623	279	4	.	.	PROPN
ejpam-1623	279	5	math	math	PROPN
ejpam-1623	279	6	,	,	PUNCT
ejpam-1623	279	7	5	5	NUM
ejpam-1623	279	8	(	(	PUNCT
ejpam-1623	279	9	2012	2012	NUM
ejpam-1623	279	10	)	)	PUNCT
ejpam-1623	279	11	,	,	PUNCT
ejpam-1623	279	12	451	451	NUM
ejpam-1623	279	13	-	-	SYM
ejpam-1623	279	14	468	468	NUM
ejpam-1623	279	15	465	465	NUM
ejpam-1623	279	16	5	5	NUM
ejpam-1623	279	17	.	.	PUNCT
ejpam-1623	279	18	representation	representation	NOUN
ejpam-1623	279	19	numbers	number	NOUN
ejpam-1623	279	20	of	of	ADP
ejpam-1623	279	21	n	n	PRON
ejpam-1623	279	22	proposition	proposition	NOUN
ejpam-1623	279	23	1	1	NUM
ejpam-1623	279	24	.	.	PUNCT
ejpam-1623	280	1	the	the	DET
ejpam-1623	280	2	differences	difference	NOUN
ejpam-1623	280	3	between	between	ADP
ejpam-1623	280	4	the	the	DET
ejpam-1623	280	5	theta	theta	NOUN
ejpam-1623	280	6	series	series	NOUN
ejpam-1623	280	7	of	of	ADP
ejpam-1623	280	8	the	the	DET
ejpam-1623	280	9	quadratic	quadratic	ADJ
ejpam-1623	280	10	forms	form	NOUN
ejpam-1623	280	11	in	in	ADP
ejpam-1623	280	12	(	(	PUNCT
ejpam-1623	280	13	1	1	NUM
ejpam-1623	280	14	)	)	PUNCT
ejpam-1623	280	15	(	(	PUNCT
ejpam-1623	280	16	in	in	ADP
ejpam-1623	280	17	these	these	DET
ejpam-1623	280	18	direct	direct	ADJ
ejpam-1623	280	19	sums	sum	NOUN
ejpam-1623	280	20	any	any	DET
ejpam-1623	280	21	form	form	NOUN
ejpam-1623	280	22	can	can	AUX
ejpam-1623	280	23	be	be	AUX
ejpam-1623	280	24	replaced	replace	VERB
ejpam-1623	280	25	by	by	ADP
ejpam-1623	280	26	its	its	PRON
ejpam-1623	280	27	inverse	inverse	NOUN
ejpam-1623	280	28	)	)	PUNCT
ejpam-1623	280	29	and	and	CCONJ
ejpam-1623	280	30	the	the	DET
ejpam-1623	280	31	eisenstein	eisenstein	PROPN
ejpam-1623	280	32	series	series	PROPN
ejpam-1623	280	33	e(q	e(q	NOUN
ejpam-1623	280	34	:	:	PUNCT
ejpam-1623	280	35	q	q	X
ejpam-1623	280	36	)	)	PUNCT
ejpam-1623	280	37	=	=	SYM
ejpam-1623	281	1	1	1	NUM
ejpam-1623	281	2	+	+	NUM
ejpam-1623	281	3	120	120	NUM
ejpam-1623	281	4	18241	18241	NUM
ejpam-1623	281	5	∞	∞	NUM
ejpam-1623	281	6	∑	∑	PUNCT
ejpam-1623	281	7	n=1	n=1	PROPN
ejpam-1623	281	8	(	(	PUNCT
ejpam-1623	281	9	qn+	qn+	PROPN
ejpam-1623	281	10	1912q191n)σ3(n	1912q191n)σ3(n	PROPN
ejpam-1623	281	11	)	)	PUNCT
ejpam-1623	281	12	=	=	SYM
ejpam-1623	282	1	120	120	NUM
ejpam-1623	282	2	18241	18241	NUM
ejpam-1623	282	3	∞	∞	NUM
ejpam-1623	282	4	∑	∑	PUNCT
ejpam-1623	282	5	n=1	n=1	PROPN
ejpam-1623	282	6	σ∗3(n)q	σ∗3(n)q	PART
ejpam-1623	282	7	n	n	NOUN
ejpam-1623	282	8	=	=	SYM
ejpam-1623	282	9	1	1	NUM
ejpam-1623	282	10	+	+	NUM
ejpam-1623	282	11	120	120	NUM
ejpam-1623	282	12	18241	18241	NUM
ejpam-1623	282	13	q+	q+	ADP
ejpam-1623	282	14	120.9	120.9	NUM
ejpam-1623	282	15	18241	18241	NUM
ejpam-1623	282	16	q2	q2	NOUN
ejpam-1623	282	17	+	+	CCONJ
ejpam-1623	282	18	120.28	120.28	NUM
ejpam-1623	282	19	18241	18241	NUM
ejpam-1623	282	20	q3	q3	NOUN
ejpam-1623	282	21	+	+	CCONJ
ejpam-1623	282	22	120.73	120.73	NUM
ejpam-1623	282	23	18241	18241	NUM
ejpam-1623	282	24	q4	q4	PROPN
ejpam-1623	282	25	+	+	CCONJ
ejpam-1623	282	26	120.126	120.126	NUM
ejpam-1623	282	27	18241	18241	NUM
ejpam-1623	282	28	q5	q5	PROPN
ejpam-1623	282	29	+	+	CCONJ
ejpam-1623	282	30	120.252	120.252	NUM
ejpam-1623	282	31	18241	18241	NUM
ejpam-1623	282	32	q6	q6	NOUN
ejpam-1623	282	33	+	+	CCONJ
ejpam-1623	282	34	120.344	120.344	NUM
ejpam-1623	282	35	18241	18241	NUM
ejpam-1623	282	36	q7	q7	PROPN
ejpam-1623	282	37	+120.585	+120.585	PROPN
ejpam-1623	282	38	18241	18241	NUM
ejpam-1623	282	39	q8	q8	PROPN
ejpam-1623	282	40	+	+	CCONJ
ejpam-1623	282	41	120.757	120.757	NUM
ejpam-1623	282	42	18241	18241	NUM
ejpam-1623	282	43	q9	q9	PROPN
ejpam-1623	282	44	+	+	CCONJ
ejpam-1623	282	45	120.1134	120.1134	NUM
ejpam-1623	282	46	18241	18241	NUM
ejpam-1623	282	47	q10	q10	NOUN
ejpam-1623	282	48	+	+	CCONJ
ejpam-1623	282	49	120.1332	120.1332	NUM
ejpam-1623	282	50	18241	18241	NUM
ejpam-1623	282	51	q11	q11	NOUN
ejpam-1623	282	52	+	+	CCONJ
ejpam-1623	282	53	120.2044	120.2044	NUM
ejpam-1623	282	54	18241	18241	NUM
ejpam-1623	282	55	q12	q12	NOUN
ejpam-1623	282	56	+	+	PROPN
ejpam-1623	282	57	120.2198	120.2198	NUM
ejpam-1623	282	58	18241	18241	NUM
ejpam-1623	282	59	q13	q13	NOUN
ejpam-1623	282	60	+	+	CCONJ
ejpam-1623	282	61	+120.3096	+120.3096	PROPN
ejpam-1623	282	62	18241	18241	NUM
ejpam-1623	282	63	q14	q14	NOUN
ejpam-1623	282	64	+	+	NOUN
ejpam-1623	282	65	120.3528	120.3528	NUM
ejpam-1623	282	66	18241	18241	NUM
ejpam-1623	282	67	q15	q15	NOUN
ejpam-1623	282	68	+	+	CCONJ
ejpam-1623	282	69	120.4681	120.4681	NUM
ejpam-1623	282	70	18241	18241	NUM
ejpam-1623	282	71	q16	q16	NOUN
ejpam-1623	282	72	+	+	CCONJ
ejpam-1623	282	73	120.4914	120.4914	NUM
ejpam-1623	282	74	18241	18241	NUM
ejpam-1623	282	75	q17	q17	NOUN
ejpam-1623	282	76	+	+	CCONJ
ejpam-1623	282	77	120.6813	120.6813	NUM
ejpam-1623	282	78	18241	18241	NUM
ejpam-1623	282	79	q18	q18	NOUN
ejpam-1623	282	80	+	+	CCONJ
ejpam-1623	282	81	120.6860	120.6860	NUM
ejpam-1623	282	82	18241	18241	NUM
ejpam-1623	282	83	q19	q19	NOUN
ejpam-1623	282	84	+120.9198	+120.9198	PROPN
ejpam-1623	282	85	18241	18241	NUM
ejpam-1623	282	86	q20	q20	NOUN
ejpam-1623	282	87	+	+	CCONJ
ejpam-1623	282	88	120.9632	120.9632	NUM
ejpam-1623	282	89	18241	18241	NUM
ejpam-1623	282	90	q21	q21	PROPN
ejpam-1623	282	91	+	+	CCONJ
ejpam-1623	282	92	120.11988	120.11988	NUM
ejpam-1623	282	93	18241	18241	NUM
ejpam-1623	282	94	q22	q22	NOUN
ejpam-1623	282	95	+	+	CCONJ
ejpam-1623	282	96	120.12168	120.12168	NUM
ejpam-1623	282	97	18241	18241	NUM
ejpam-1623	282	98	q23	q23	NOUN
ejpam-1623	282	99	+	+	PROPN
ejpam-1623	282	100	120.16380	120.16380	NUM
ejpam-1623	282	101	18241	18241	NUM
ejpam-1623	282	102	q24	q24	NOUN
ejpam-1623	282	103	+120.15751	+120.15751	PROPN
ejpam-1623	282	104	18241	18241	NUM
ejpam-1623	282	105	q25	q25	NOUN
ejpam-1623	282	106	+	+	NOUN
ejpam-1623	282	107	120.19782	120.19782	NUM
ejpam-1623	282	108	18241	18241	NUM
ejpam-1623	282	109	q26	q26	NOUN
ejpam-1623	282	110	+	+	CCONJ
ejpam-1623	282	111	120.20440	120.20440	NUM
ejpam-1623	282	112	18241	18241	NUM
ejpam-1623	282	113	q27	q27	NOUN
ejpam-1623	282	114	+	+	CCONJ
ejpam-1623	282	115	120.25112	120.25112	NUM
ejpam-1623	282	116	18241	18241	NUM
ejpam-1623	282	117	q28	q28	NOUN
ejpam-1623	282	118	+	+	CCONJ
ejpam-1623	282	119	120.24390	120.24390	NUM
ejpam-1623	282	120	18241	18241	NUM
ejpam-1623	282	121	q29	q29	NOUN
ejpam-1623	282	122	+120.31752	+120.31752	PROPN
ejpam-1623	282	123	18241	18241	NUM
ejpam-1623	282	124	q30	q30	NOUN
ejpam-1623	282	125	+	+	CCONJ
ejpam-1623	282	126	120.29792	120.29792	NUM
ejpam-1623	282	127	18241	18241	NUM
ejpam-1623	282	128	q31	q31	PROPN
ejpam-1623	282	129	+	+	NUM
ejpam-1623	282	130	120.37449	120.37449	NUM
ejpam-1623	282	131	18241	18241	NUM
ejpam-1623	282	132	q32	q32	NOUN
ejpam-1623	282	133	+	+	CCONJ
ejpam-1623	282	134	120.37296	120.37296	NUM
ejpam-1623	282	135	18241	18241	NUM
ejpam-1623	282	136	q33	q33	NOUN
ejpam-1623	282	137	+	+	CCONJ
ejpam-1623	282	138	120.44226	120.44226	NUM
ejpam-1623	282	139	18241	18241	NUM
ejpam-1623	282	140	q34	q34	NOUN
ejpam-1623	282	141	+120.43344	+120.43344	PROPN
ejpam-1623	282	142	18241	18241	NUM
ejpam-1623	282	143	q35	q35	NOUN
ejpam-1623	282	144	+	+	CCONJ
ejpam-1623	282	145	120.55261	120.55261	NUM
ejpam-1623	282	146	18241	18241	NUM
ejpam-1623	282	147	q36	q36	NOUN
ejpam-1623	282	148	+	+	CCONJ
ejpam-1623	282	149	120.50654	120.50654	NUM
ejpam-1623	282	150	18241	18241	NUM
ejpam-1623	282	151	q37	q37	NOUN
ejpam-1623	282	152	+	+	CCONJ
ejpam-1623	282	153	120.61740	120.61740	NUM
ejpam-1623	282	154	18241	18241	NUM
ejpam-1623	282	155	q38	q38	NOUN
ejpam-1623	282	156	+	+	CCONJ
ejpam-1623	282	157	120.61544	120.61544	NUM
ejpam-1623	282	158	18241	18241	NUM
ejpam-1623	282	159	q39	q39	NOUN
ejpam-1623	282	160	+120.73710	+120.73710	PROPN
ejpam-1623	282	161	18241	18241	NUM
ejpam-1623	282	162	q40	q40	NOUN
ejpam-1623	282	163	+	+	CCONJ
ejpam-1623	282	164	120.68922	120.68922	NUM
ejpam-1623	282	165	18241	18241	NUM
ejpam-1623	282	166	q41	q41	NOUN
ejpam-1623	282	167	+	+	CCONJ
ejpam-1623	282	168	120.86688	120.86688	NUM
ejpam-1623	282	169	18241	18241	NUM
ejpam-1623	282	170	q42	q42	NOUN
ejpam-1623	282	171	+	+	CCONJ
ejpam-1623	282	172	120.79508	120.79508	NUM
ejpam-1623	282	173	18241	18241	NUM
ejpam-1623	282	174	q43	q43	NOUN
ejpam-1623	282	175	+	+	CCONJ
ejpam-1623	282	176	120.97236	120.97236	NUM
ejpam-1623	282	177	18241	18241	NUM
ejpam-1623	282	178	q44	q44	NOUN
ejpam-1623	282	179	+120.95382	+120.95382	PROPN
ejpam-1623	282	180	18241	18241	NUM
ejpam-1623	282	181	q45	q45	NOUN
ejpam-1623	282	182	+	+	CCONJ
ejpam-1623	282	183	120.109512	120.109512	NUM
ejpam-1623	282	184	18241	18241	NUM
ejpam-1623	282	185	q46	q46	NOUN
ejpam-1623	282	186	+	+	CCONJ
ejpam-1623	282	187	120.103824	120.103824	NUM
ejpam-1623	282	188	18241	18241	NUM
ejpam-1623	282	189	q47	q47	NOUN
ejpam-1623	282	190	+	+	X
ejpam-1623	282	191	.	.	PUNCT
ejpam-1623	282	192	.	.	PUNCT
ejpam-1623	282	193	.	.	PUNCT
ejpam-1623	283	1	are	be	AUX
ejpam-1623	283	2	linear	linear	ADJ
ejpam-1623	283	3	combination	combination	NOUN
ejpam-1623	283	4	of	of	ADP
ejpam-1623	283	5	the	the	DET
ejpam-1623	283	6	theta	theta	NOUN
ejpam-1623	283	7	series	series	NOUN
ejpam-1623	283	8	in	in	ADP
ejpam-1623	283	9	the	the	DET
ejpam-1623	283	10	preceding	precede	VERB
ejpam-1623	283	11	theorem	theorem	NOUN
ejpam-1623	283	12	.	.	PUNCT
ejpam-1623	284	1	proof	proof	NOUN
ejpam-1623	284	2	.	.	PUNCT
ejpam-1623	285	1	now	now	ADV
ejpam-1623	285	2	we	we	PRON
ejpam-1623	285	3	will	will	AUX
ejpam-1623	285	4	consider	consider	VERB
ejpam-1623	285	5	the	the	DET
ejpam-1623	285	6	case	case	NOUN
ejpam-1623	285	7	;	;	PUNCT
ejpam-1623	285	8	θf4	θf4	PRON
ejpam-1623	285	9	−	−	PROPN
ejpam-1623	285	10	e(q	e(q	NOUN
ejpam-1623	285	11	:	:	PUNCT
ejpam-1623	285	12	f4	f4	NUM
ejpam-1623	285	13	)	)	PUNCT
ejpam-1623	286	1	=	=	NOUN
ejpam-1623	286	2	c1θf2,ϕ11	c1θf2,ϕ11	NOUN
ejpam-1623	286	3	(	(	PUNCT
ejpam-1623	286	4	q	q	NOUN
ejpam-1623	286	5	)	)	PUNCT
ejpam-1623	286	6	+	+	CCONJ
ejpam-1623	286	7	c2θφ2,ϕ11	c2θφ2,ϕ11	PROPN
ejpam-1623	286	8	(	(	PUNCT
ejpam-1623	286	9	q	q	NOUN
ejpam-1623	286	10	)	)	PUNCT
ejpam-1623	286	11	+	+	NUM
ejpam-1623	286	12	c3θφ2,ϕ12	c3θφ2,ϕ12	NOUN
ejpam-1623	286	13	(	(	PUNCT
ejpam-1623	286	14	q	q	X
ejpam-1623	286	15	)	)	PUNCT
ejpam-1623	286	16	+	+	CCONJ
ejpam-1623	286	17	c4θψ2,ϕ22	c4θψ2,ϕ22	X
ejpam-1623	286	18	(	(	PUNCT
ejpam-1623	286	19	q	q	NOUN
ejpam-1623	286	20	)	)	PUNCT
ejpam-1623	286	21	+	+	NUM
ejpam-1623	286	22	c5θψ2,ϕ33	c5θψ2,ϕ33	NOUN
ejpam-1623	286	23	(	(	PUNCT
ejpam-1623	286	24	q)+	q)+	PROPN
ejpam-1623	286	25	c6θλ2,ϕ11	c6θλ2,ϕ11	NOUN
ejpam-1623	286	26	(	(	PUNCT
ejpam-1623	286	27	q)+	q)+	NOUN
ejpam-1623	286	28	c7θλ2,ϕ12	c7θλ2,ϕ12	NOUN
ejpam-1623	286	29	(	(	PUNCT
ejpam-1623	286	30	q)+	q)+	PROPN
ejpam-1623	286	31	c8θυ2,ϕ11	c8θυ2,ϕ11	PROPN
ejpam-1623	286	32	(	(	PUNCT
ejpam-1623	286	33	q	q	NOUN
ejpam-1623	286	34	)	)	PUNCT
ejpam-1623	287	1	+	+	CCONJ
ejpam-1623	287	2	c9θυ2,ϕ22	c9θυ2,ϕ22	VERB
ejpam-1623	287	3	(	(	PUNCT
ejpam-1623	287	4	q	q	NOUN
ejpam-1623	287	5	)	)	PUNCT
ejpam-1623	287	6	+	+	NUM
ejpam-1623	287	7	c10θω2,ϕ12	c10θω2,ϕ12	NOUN
ejpam-1623	287	8	(	(	PUNCT
ejpam-1623	287	9	q)+	q)+	PROPN
ejpam-1623	287	10	c11θω2,ϕ22	c11θω2,ϕ22	NOUN
ejpam-1623	287	11	(	(	PUNCT
ejpam-1623	287	12	q)+	q)+	PROPN
ejpam-1623	287	13	c12θπ2,ϕ11	c12θπ2,ϕ11	PROPN
ejpam-1623	287	14	(	(	PUNCT
ejpam-1623	287	15	q	q	X
ejpam-1623	287	16	)	)	PUNCT
ejpam-1623	287	17	+	+	NUM
ejpam-1623	287	18	c13θπ2,ϕ22	c13θπ2,ϕ22	X
ejpam-1623	287	19	(	(	PUNCT
ejpam-1623	287	20	q	q	NOUN
ejpam-1623	287	21	)	)	PUNCT
ejpam-1623	287	22	+	+	CCONJ
ejpam-1623	287	23	c14θf1⊕φ1,ϕ12	c14θf1⊕φ1,ϕ12	NOUN
ejpam-1623	287	24	(	(	PUNCT
ejpam-1623	287	25	q	q	NOUN
ejpam-1623	287	26	)	)	PUNCT
ejpam-1623	287	27	+	+	CCONJ
ejpam-1623	287	28	c15θf1⊕ψ1	c15θf1⊕ψ1	PROPN
ejpam-1623	287	29	,	,	PUNCT
ejpam-1623	287	30	ϕ34	ϕ34	NOUN
ejpam-1623	287	31	(	(	PUNCT
ejpam-1623	287	32	q)+	q)+	PROPN
ejpam-1623	287	33	c16θf1⊕ψ1,ϕ22	c16θf1⊕ψ1,ϕ22	PROPN
ejpam-1623	287	34	(	(	PUNCT
ejpam-1623	287	35	q	q	NOUN
ejpam-1623	287	36	)	)	PUNCT
ejpam-1623	287	37	+	+	CCONJ
ejpam-1623	287	38	c17θf1⊕ψ1	c17θf1⊕ψ1	NOUN
ejpam-1623	287	39	,	,	PUNCT
ejpam-1623	287	40	ϕ34	ϕ34	NOUN
ejpam-1623	287	41	(	(	PUNCT
ejpam-1623	287	42	q	q	X
ejpam-1623	287	43	)	)	PUNCT
ejpam-1623	287	44	+	+	CCONJ
ejpam-1623	287	45	c18θf1⊕λ1,ϕ12	c18θf1⊕λ1,ϕ12	NOUN
ejpam-1623	287	46	(	(	PUNCT
ejpam-1623	287	47	q	q	NOUN
ejpam-1623	287	48	)	)	PUNCT
ejpam-1623	288	1	+	+	CCONJ
ejpam-1623	288	2	c19θf1⊕λ1,ϕ44	c19θf1⊕λ1,ϕ44	PROPN
ejpam-1623	288	3	(	(	PUNCT
ejpam-1623	288	4	q	q	X
ejpam-1623	288	5	)	)	PUNCT
ejpam-1623	288	6	+	+	CCONJ
ejpam-1623	288	7	c20θf1⊕υ1,ϕ11	c20θf1⊕υ1,ϕ11	X
ejpam-1623	288	8	(	(	PUNCT
ejpam-1623	288	9	q	q	NOUN
ejpam-1623	288	10	)	)	PUNCT
ejpam-1623	288	11	+	+	CCONJ
ejpam-1623	288	12	c21θf1⊕υ1,ϕ34	c21θf1⊕υ1,ϕ34	NOUN
ejpam-1623	288	13	(	(	PUNCT
ejpam-1623	288	14	q	q	NOUN
ejpam-1623	288	15	)	)	PUNCT
ejpam-1623	288	16	+	+	CCONJ
ejpam-1623	288	17	c22θf1⊕ω1,ϕ12	c22θf1⊕ω1,ϕ12	NOUN
ejpam-1623	288	18	(	(	PUNCT
ejpam-1623	288	19	q	q	NOUN
ejpam-1623	288	20	)	)	PUNCT
ejpam-1623	288	21	+	+	CCONJ
ejpam-1623	288	22	c23θf1⊕ω1,ϕ33	c23θf1⊕ω1,ϕ33	PROPN
ejpam-1623	288	23	(	(	PUNCT
ejpam-1623	288	24	q	q	NOUN
ejpam-1623	288	25	)	)	PUNCT
ejpam-1623	288	26	+	+	CCONJ
ejpam-1623	288	27	c24θf1⊕π1	c24θf1⊕π1	PROPN
ejpam-1623	288	28	,	,	PUNCT
ejpam-1623	288	29	ϕ22	ϕ22	PROPN
ejpam-1623	288	30	(	(	PUNCT
ejpam-1623	288	31	q)+	q)+	NOUN
ejpam-1623	288	32	c25θf1⊕π1,ϕ34	c25θf1⊕π1,ϕ34	PROPN
ejpam-1623	288	33	(	(	PUNCT
ejpam-1623	288	34	q	q	NOUN
ejpam-1623	288	35	)	)	PUNCT
ejpam-1623	288	36	+	+	CCONJ
ejpam-1623	288	37	c26θφ1⊕ψ1	c26θφ1⊕ψ1	NOUN
ejpam-1623	288	38	,	,	PUNCT
ejpam-1623	288	39	ϕ11	ϕ11	PROPN
ejpam-1623	288	40	(	(	PUNCT
ejpam-1623	288	41	q)+	q)+	PROPN
ejpam-1623	288	42	c27θφ1⊕ψ1,ϕ22	c27θφ1⊕ψ1,ϕ22	PROPN
ejpam-1623	288	43	(	(	PUNCT
ejpam-1623	288	44	q	q	NOUN
ejpam-1623	288	45	)	)	PUNCT
ejpam-1623	288	46	+	+	NUM
ejpam-1623	288	47	c28θφ1⊕λ1,ϕ12	c28θφ1⊕λ1,ϕ12	NOUN
ejpam-1623	288	48	(	(	PUNCT
ejpam-1623	288	49	q)+	q)+	PROPN
ejpam-1623	288	50	c29θφ1⊕λ1,ϕ33	c29θφ1⊕λ1,ϕ33	PROPN
ejpam-1623	288	51	(	(	PUNCT
ejpam-1623	288	52	q	q	NOUN
ejpam-1623	288	53	)	)	PUNCT
ejpam-1623	288	54	+	+	CCONJ
ejpam-1623	288	55	c30θφ1⊕υ1	c30θφ1⊕υ1	PROPN
ejpam-1623	288	56	,	,	PUNCT
ejpam-1623	288	57	ϕ12	ϕ12	NOUN
ejpam-1623	288	58	(	(	PUNCT
ejpam-1623	288	59	q)+	q)+	PROPN
ejpam-1623	288	60	c31θφ1⊕υ1,ϕ22	c31θφ1⊕υ1,ϕ22	PROPN
ejpam-1623	288	61	(	(	PUNCT
ejpam-1623	288	62	q	q	X
ejpam-1623	288	63	)	)	PUNCT
ejpam-1623	288	64	+	+	CCONJ
ejpam-1623	288	65	c32θφ1⊕ω1,ϕ33	c32θφ1⊕ω1,ϕ33	PROPN
ejpam-1623	288	66	(	(	PUNCT
ejpam-1623	288	67	q	q	NOUN
ejpam-1623	288	68	)	)	PUNCT
ejpam-1623	288	69	+	+	NUM
ejpam-1623	288	70	c33θφ1⊕ω1,ϕ34	c33θφ1⊕ω1,ϕ34	NOUN
ejpam-1623	288	71	(	(	PUNCT
ejpam-1623	288	72	q	q	X
ejpam-1623	288	73	)	)	PUNCT
ejpam-1623	288	74	+	+	CCONJ
ejpam-1623	288	75	c34θφ1⊕π1	c34θφ1⊕π1	NOUN
ejpam-1623	288	76	,	,	PUNCT
ejpam-1623	288	77	ϕ11	ϕ11	PROPN
ejpam-1623	288	78	(	(	PUNCT
ejpam-1623	288	79	q	q	NOUN
ejpam-1623	288	80	)	)	PUNCT
ejpam-1623	288	81	+	+	CCONJ
ejpam-1623	288	82	c35θφ1⊕π1	c35θφ1⊕π1	PROPN
ejpam-1623	288	83	,	,	PUNCT
ejpam-1623	288	84	ϕ33	ϕ33	PROPN
ejpam-1623	288	85	(	(	PUNCT
ejpam-1623	288	86	q)+	q)+	PROPN
ejpam-1623	288	87	c36θψ1⊕λ1,ϕ12	c36θψ1⊕λ1,ϕ12	PROPN
ejpam-1623	288	88	(	(	PUNCT
ejpam-1623	288	89	q)+	q)+	PROPN
ejpam-1623	288	90	c37θψ1⊕λ1,ϕ22	c37θψ1⊕λ1,ϕ22	PROPN
ejpam-1623	288	91	(	(	PUNCT
ejpam-1623	288	92	q	q	X
ejpam-1623	288	93	)	)	PUNCT
ejpam-1623	288	94	+	+	CCONJ
ejpam-1623	288	95	c38θψ1⊕υ1,ϕ33	c38θψ1⊕υ1,ϕ33	ADJ
ejpam-1623	288	96	(	(	PUNCT
ejpam-1623	288	97	q	q	X
ejpam-1623	288	98	)	)	PUNCT
ejpam-1623	288	99	+	+	NUM
ejpam-1623	288	100	c39θψ1⊕υ1,ϕ44	c39θψ1⊕υ1,ϕ44	X
ejpam-1623	288	101	(	(	PUNCT
ejpam-1623	288	102	q	q	NOUN
ejpam-1623	288	103	)	)	PUNCT
ejpam-1623	288	104	+	+	NUM
ejpam-1623	288	105	c40θψ1⊕ω1,ϕ12	c40θψ1⊕ω1,ϕ12	NOUN
ejpam-1623	288	106	(	(	PUNCT
ejpam-1623	288	107	q)+	q)+	PROPN
ejpam-1623	288	108	c41θψ1⊕ω1,ϕ33	c41θψ1⊕ω1,ϕ33	PROPN
ejpam-1623	288	109	(	(	PUNCT
ejpam-1623	288	110	q	q	NOUN
ejpam-1623	288	111	)	)	PUNCT
ejpam-1623	288	112	+	+	CCONJ
ejpam-1623	288	113	c42θψ1⊕π1,ϕ11	c42θψ1⊕π1,ϕ11	NOUN
ejpam-1623	288	114	(	(	PUNCT
ejpam-1623	288	115	q	q	NOUN
ejpam-1623	288	116	)	)	PUNCT
ejpam-1623	288	117	+	+	CCONJ
ejpam-1623	288	118	c43θψ1⊕π1,ϕ34	c43θψ1⊕π1,ϕ34	PROPN
ejpam-1623	288	119	(	(	PUNCT
ejpam-1623	288	120	q)+	q)+	PROPN
ejpam-1623	288	121	c44θλ1⊕υ1,ϕ11	c44θλ1⊕υ1,ϕ11	PROPN
ejpam-1623	288	122	(	(	PUNCT
ejpam-1623	288	123	q	q	NOUN
ejpam-1623	288	124	)	)	PUNCT
ejpam-1623	288	125	+	+	NUM
ejpam-1623	288	126	c45θλ1⊕υ1,ϕ22	c45θλ1⊕υ1,ϕ22	NOUN
ejpam-1623	288	127	(	(	PUNCT
ejpam-1623	288	128	q	q	X
ejpam-1623	288	129	)	)	PUNCT
ejpam-1623	288	130	+	+	CCONJ
ejpam-1623	288	131	c46θλ1⊕ω1,ϕ33	c46θλ1⊕ω1,ϕ33	PROPN
ejpam-1623	288	132	(	(	PUNCT
ejpam-1623	288	133	q	q	NOUN
ejpam-1623	288	134	)	)	PUNCT
ejpam-1623	288	135	+	+	NUM
ejpam-1623	288	136	c47θλ1⊕ω1,ϕ44	c47θλ1⊕ω1,ϕ44	PROPN
ejpam-1623	288	137	(	(	PUNCT
ejpam-1623	288	138	q	q	NOUN
ejpam-1623	288	139	)	)	PUNCT
ejpam-1623	288	140	=(	=(	NOUN
ejpam-1623	288	141	145808/18241)q+	145808/18241)q+	NUM
ejpam-1623	288	142	(	(	PUNCT
ejpam-1623	288	143	436704/18241)q2	436704/18241)q2	NOUN
ejpam-1623	288	144	+	+	CCONJ
ejpam-1623	288	145	(	(	PUNCT
ejpam-1623	288	146	580352/18241)q3	580352/18241)q3	NUM
ejpam-1623	288	147	+	+	CCONJ
ejpam-1623	288	148	(	(	PUNCT
ejpam-1623	288	149	429024/18241)q4	429024/18241)q4	NUM
ejpam-1623	288	150	+	+	CCONJ
ejpam-1623	288	151	(	(	PUNCT
ejpam-1623	288	152	860448/18241)q5	860448/18241)q5	NUM
ejpam-1623	288	153	+	+	X
ejpam-1623	288	154	(	(	PUNCT
ejpam-1623	288	155	1720896/18241)q6	1720896/18241)q6	NUM
ejpam-1623	288	156	+	+	CCONJ
ejpam-1623	288	157	(	(	PUNCT
ejpam-1623	288	158	1126144/18241)q7	1126144/18241)q7	NUM
ejpam-1623	288	159	+	+	X
ejpam-1623	288	160	(	(	PUNCT
ejpam-1623	288	161	367584/18241)q8	367584/18241)q8	NUM
ejpam-1623	288	162	+	+	CCONJ
ejpam-1623	288	163	(	(	PUNCT
ejpam-1623	288	164	1806224/18241)q9	1806224/18241)q9	PROPN
ejpam-1623	288	165	b.	b.	PROPN
ejpam-1623	288	166	köklüce	köklüce	PROPN
ejpam-1623	288	167	/	/	SYM
ejpam-1623	288	168	eur	eur	PROPN
ejpam-1623	288	169	.	.	PUNCT
ejpam-1623	289	1	j.	j.	PROPN
ejpam-1623	289	2	pure	pure	PROPN
ejpam-1623	289	3	appl	appl	PROPN
ejpam-1623	289	4	.	.	PROPN
ejpam-1623	289	5	math	math	PROPN
ejpam-1623	289	6	,	,	PUNCT
ejpam-1623	289	7	5	5	NUM
ejpam-1623	289	8	(	(	PUNCT
ejpam-1623	289	9	2012	2012	NUM
ejpam-1623	289	10	)	)	PUNCT
ejpam-1623	289	11	,	,	PUNCT
ejpam-1623	289	12	451	451	NUM
ejpam-1623	289	13	-	-	SYM
ejpam-1623	289	14	468	468	NUM
ejpam-1623	289	15	466	466	NUM
ejpam-1623	289	16	+	+	CCONJ
ejpam-1623	289	17	(	(	PUNCT
ejpam-1623	289	18	2490624/18241)q10	2490624/18241)q10	NUM
ejpam-1623	289	19	+	+	CCONJ
ejpam-1623	289	20	(	(	PUNCT
ejpam-1623	289	21	43008/493)q11	43008/493)q11	NOUN
ejpam-1623	289	22	+	+	CCONJ
ejpam-1623	289	23	(	(	PUNCT
ejpam-1623	289	24	1505856/18241)q12	1505856/18241)q12	NUM
ejpam-1623	289	25	+	+	CCONJ
ejpam-1623	289	26	(	(	PUNCT
ejpam-1623	289	27	1779232/18241)q13	1779232/18241)q13	NUM
ejpam-1623	289	28	+	+	CCONJ
ejpam-1623	289	29	(	(	PUNCT
ejpam-1623	289	30	3130752/18241)q14	3130752/18241)q14	NUM
ejpam-1623	289	31	+	+	NUM
ejpam-1623	289	32	(	(	PUNCT
ejpam-1623	289	33	3078912/18241)q15	3078912/18241)q15	NUM
ejpam-1623	289	34	−	−	NUM
ejpam-1623	289	35	(	(	PUNCT
ejpam-1623	289	36	123936/18241)q16	123936/18241)q16	NUM
ejpam-1623	289	37	+	+	NUM
ejpam-1623	289	38	(	(	PUNCT
ejpam-1623	289	39	2037024/18241)q17	2037024/18241)q17	NUM
ejpam-1623	289	40	+	+	CCONJ
ejpam-1623	289	41	(	(	PUNCT
ejpam-1623	289	42	4873632/18241)q18	4873632/18241)q18	NUM
ejpam-1623	289	43	+	+	CCONJ
ejpam-1623	289	44	(	(	PUNCT
ejpam-1623	289	45	2095360/18241)q19	2095360/18241)q19	NUM
ejpam-1623	289	46	+	+	X
ejpam-1623	289	47	(	(	PUNCT
ejpam-1623	289	48	1522944/18241)q20	1522944/18241)q20	NUM
ejpam-1623	289	49	+	+	CCONJ
ejpam-1623	289	50	(	(	PUNCT
ejpam-1623	289	51	3513856/18241)q21	3513856/18241)q21	PROPN
ejpam-1623	289	52	+	+	CCONJ
ejpam-1623	289	53	(	(	PUNCT
ejpam-1623	289	54	103104/493)q22	103104/493)q22	ADJ
ejpam-1623	289	55	+	+	CCONJ
ejpam-1623	289	56	(	(	PUNCT
ejpam-1623	289	57	2042112/18241)q23−	2042112/18241)q23−	NUM
ejpam-1623	289	58	(	(	PUNCT
ejpam-1623	289	59	214464/18241)q24	214464/18241)q24	PROPN
ejpam-1623	289	60	+	+	CCONJ
ejpam-1623	289	61	(	(	PUNCT
ejpam-1623	289	62	2633648/18241)q25	2633648/18241)q25	NUM
ejpam-1623	289	63	+	+	CCONJ
ejpam-1623	289	64	(	(	PUNCT
ejpam-1623	289	65	3755136/18241)q26	3755136/18241)q26	NUM
ejpam-1623	289	66	+	+	NUM
ejpam-1623	289	67	(	(	PUNCT
ejpam-1623	289	68	3384320/18241)q27	3384320/18241)q27	NUM
ejpam-1623	289	69	+	+	CCONJ
ejpam-1623	289	70	(	(	PUNCT
ejpam-1623	289	71	488832/18241)q28	488832/18241)q28	NOUN
ejpam-1623	289	72	+	+	X
ejpam-1623	289	73	(	(	PUNCT
ejpam-1623	289	74	1451040/18241)q29	1451040/18241)q29	NUM
ejpam-1623	289	75	+	+	CCONJ
ejpam-1623	289	76	(	(	PUNCT
ejpam-1623	289	77	6696576/18241)q30	6696576/18241)q30	NUM
ejpam-1623	289	78	+	+	CCONJ
ejpam-1623	289	79	(	(	PUNCT
ejpam-1623	289	80	1094656/18241)q31−	1094656/18241)q31−	NUM
ejpam-1623	289	81	(	(	PUNCT
ejpam-1623	289	82	4056096/18241)q32	4056096/18241)q32	NUM
ejpam-1623	289	83	+	+	CCONJ
ejpam-1623	289	84	(	(	PUNCT
ejpam-1623	289	85	68352/493)q33	68352/493)q33	NUM
ejpam-1623	289	86	+	+	CCONJ
ejpam-1623	289	87	(	(	PUNCT
ejpam-1623	289	88	2572992/18241)q34	2572992/18241)q34	PROPN
ejpam-1623	289	89	+	+	NUM
ejpam-1623	289	90	(	(	PUNCT
ejpam-1623	289	91	1803264/18241)q35−	1803264/18241)q35−	NUM
ejpam-1623	289	92	(	(	PUNCT
ejpam-1623	289	93	940128/18241)q36	940128/18241)q36	NUM
ejpam-1623	289	94	−	−	PROPN
ejpam-1623	289	95	(	(	PUNCT
ejpam-1623	289	96	533216/18241)q37	533216/18241)q37	NUM
ejpam-1623	289	97	+	+	CCONJ
ejpam-1623	289	98	(	(	PUNCT
ejpam-1623	289	99	1346880/18241)q38	1346880/18241)q38	NUM
ejpam-1623	289	100	+	+	CCONJ
ejpam-1623	289	101	(	(	PUNCT
ejpam-1623	289	102	786688/18241)q39	786688/18241)q39	NUM
ejpam-1623	289	103	−	−	PROPN
ejpam-1623	290	1	(	(	PUNCT
ejpam-1623	290	2	6218496/18241)q40−	6218496/18241)q40−	NUM
ejpam-1623	290	3	(	(	PUNCT
ejpam-1623	290	4	2141664/18241)q41	2141664/18241)q41	NOUN
ejpam-1623	290	5	+	+	SYM
ejpam-1623	290	6	(	(	PUNCT
ejpam-1623	290	7	3606528/18241)q42	3606528/18241)q42	NUM
ejpam-1623	290	8	−	−	PROPN
ejpam-1623	290	9	(	(	PUNCT
ejpam-1623	290	10	3120128/18241)q43−	3120128/18241)q43−	NUM
ejpam-1623	290	11	(	(	PUNCT
ejpam-1623	290	12	173376/493)q44−	173376/493)q44−	NUM
ejpam-1623	290	13	(	(	PUNCT
ejpam-1623	290	14	63456/18241)q45	63456/18241)q45	NUM
ejpam-1623	290	15	−	−	X
ejpam-1623	290	16	(	(	PUNCT
ejpam-1623	290	17	2634624/18241)q46−	2634624/18241)q46−	NUM
ejpam-1623	290	18	(	(	PUNCT
ejpam-1623	290	19	5454336/18241)q47	5454336/18241)q47	NUM
ejpam-1623	290	20	+	+	NUM
ejpam-1623	290	21	.	.	PUNCT
ejpam-1623	290	22	.	.	PUNCT
ejpam-1623	290	23	.	.	PUNCT
ejpam-1623	290	24	.	.	PUNCT
ejpam-1623	291	1	by	by	ADP
ejpam-1623	291	2	equating	equate	VERB
ejpam-1623	291	3	the	the	DET
ejpam-1623	291	4	coefficients	coefficient	NOUN
ejpam-1623	291	5	of	of	ADP
ejpam-1623	291	6	qn	qn	NOUN
ejpam-1623	291	7	in	in	ADP
ejpam-1623	291	8	both	both	DET
ejpam-1623	291	9	sides	side	NOUN
ejpam-1623	291	10	for	for	ADP
ejpam-1623	291	11	n	n	NOUN
ejpam-1623	291	12	=	=	SYM
ejpam-1623	291	13	1,2,3	1,2,3	NUM
ejpam-1623	291	14	,	,	PUNCT
ejpam-1623	291	15	.	.	PUNCT
ejpam-1623	291	16	.	.	PUNCT
ejpam-1623	291	17	.	.	PUNCT
ejpam-1623	292	1	,	,	PUNCT
ejpam-1623	292	2	47	47	NUM
ejpam-1623	292	3	,	,	PUNCT
ejpam-1623	292	4	we	we	PRON
ejpam-1623	292	5	get	get	VERB
ejpam-1623	292	6	an	an	DET
ejpam-1623	292	7	equation	equation	NOUN
ejpam-1623	292	8	in	in	ADP
ejpam-1623	292	9	coefficients	coefficient	NOUN
ejpam-1623	292	10	ci	ci	PROPN
ejpam-1623	292	11	for	for	ADP
ejpam-1623	292	12	i	i	PROPN
ejpam-1623	292	13	=	=	NOUN
ejpam-1623	292	14	1	1	NUM
ejpam-1623	292	15	,	,	PUNCT
ejpam-1623	292	16	.	.	PUNCT
ejpam-1623	292	17	.	.	PUNCT
ejpam-1623	292	18	.	.	PUNCT
ejpam-1623	293	1	47	47	NUM
ejpam-1623	293	2	.	.	PUNCT
ejpam-1623	294	1	for	for	ADP
ejpam-1623	294	2	the	the	DET
ejpam-1623	294	3	list	list	NOUN
ejpam-1623	294	4	of	of	ADP
ejpam-1623	294	5	coefficients	coefficient	NOUN
ejpam-1623	294	6	of	of	ADP
ejpam-1623	294	7	any	any	DET
ejpam-1623	294	8	form	form	NOUN
ejpam-1623	294	9	in	in	ADP
ejpam-1623	294	10	(	(	PUNCT
ejpam-1623	294	11	1	1	X
ejpam-1623	294	12	)	)	PUNCT
ejpam-1623	294	13	see	see	VERB
ejpam-1623	294	14	table	table	NOUN
ejpam-1623	294	15	2	2	NUM
ejpam-1623	294	16	in	in	ADP
ejpam-1623	294	17	[	[	X
ejpam-1623	294	18	5	5	NUM
ejpam-1623	294	19	]	]	PUNCT
ejpam-1623	294	20	.	.	PUNCT
ejpam-1623	295	1	corollary	corollary	ADJ
ejpam-1623	295	2	2	2	NUM
ejpam-1623	295	3	.	.	PUNCT
ejpam-1623	296	1	the	the	DET
ejpam-1623	296	2	representation	representation	NOUN
ejpam-1623	296	3	numbers	number	NOUN
ejpam-1623	296	4	r(n	r(n	PROPN
ejpam-1623	296	5	,	,	PUNCT
ejpam-1623	296	6	f4	f4	NOUN
ejpam-1623	296	7	)	)	PUNCT
ejpam-1623	296	8	are	be	AUX
ejpam-1623	296	9	θf4	θf4	ADJ
ejpam-1623	296	10	−	−	PUNCT
ejpam-1623	297	1	e(q	e(q	NOUN
ejpam-1623	297	2	:	:	PUNCT
ejpam-1623	297	3	f4	f4	NUM
ejpam-1623	297	4	)	)	PUNCT
ejpam-1623	297	5	=	=	SYM
ejpam-1623	297	6	120	120	NUM
ejpam-1623	297	7	18241	18241	NUM
ejpam-1623	297	8	σ∗3(n)+	σ∗3(n)+	NUM
ejpam-1623	297	9	1	1	NUM
ejpam-1623	297	10	191	191	NUM
ejpam-1623	297	11	(	(	PUNCT
ejpam-1623	297	12	c1	c1	PROPN
ejpam-1623	297	13	∑	∑	PROPN
ejpam-1623	297	14	f2	f2	PROPN
ejpam-1623	297	15	=	=	SYM
ejpam-1623	297	16	n	n	X
ejpam-1623	297	17	(	(	PUNCT
ejpam-1623	297	18	191x2	191x2	NUM
ejpam-1623	297	19	1	1	NUM
ejpam-1623	297	20	−	−	NOUN
ejpam-1623	297	21	48f2	48f2	NUM
ejpam-1623	297	22	)	)	PUNCT
ejpam-1623	298	1	+	+	CCONJ
ejpam-1623	298	2	c2	c2	PROPN
ejpam-1623	298	3	∑	∑	PROPN
ejpam-1623	298	4	φ2	φ2	PROPN
ejpam-1623	298	5	=	=	SYM
ejpam-1623	298	6	n	n	X
ejpam-1623	298	7	(	(	PUNCT
ejpam-1623	298	8	191x2	191x2	NUM
ejpam-1623	298	9	1	1	NUM
ejpam-1623	298	10	−	−	PROPN
ejpam-1623	298	11	24φ2	24φ2	NUM
ejpam-1623	298	12	)	)	PUNCT
ejpam-1623	298	13	+	+	CCONJ
ejpam-1623	298	14	c3	c3	PROPN
ejpam-1623	298	15	∑	∑	PROPN
ejpam-1623	298	16	φ2	φ2	PROPN
ejpam-1623	298	17	=	=	SYM
ejpam-1623	298	18	n	n	X
ejpam-1623	298	19	(	(	PUNCT
ejpam-1623	298	20	191x1x2	191x1x2	NUM
ejpam-1623	298	21	+	+	CCONJ
ejpam-1623	298	22	1	1	NUM
ejpam-1623	298	23	2	2	NUM
ejpam-1623	298	24	φ2	φ2	NOUN
ejpam-1623	298	25	)	)	PUNCT
ejpam-1623	298	26	+	+	CCONJ
ejpam-1623	298	27	c4	c4	VERB
ejpam-1623	298	28	∑	∑	PROPN
ejpam-1623	298	29	ψ2	ψ2	NOUN
ejpam-1623	298	30	=	=	SYM
ejpam-1623	298	31	n	n	X
ejpam-1623	298	32	(	(	PUNCT
ejpam-1623	298	33	191x2	191x2	NUM
ejpam-1623	298	34	2	2	NUM
ejpam-1623	298	35	−	−	NUM
ejpam-1623	298	36	3ψ2	3ψ2	NUM
ejpam-1623	298	37	)	)	PUNCT
ejpam-1623	299	1	+	+	CCONJ
ejpam-1623	299	2	c5	c5	PROPN
ejpam-1623	299	3	∑	∑	PUNCT
ejpam-1623	299	4	ψ2	ψ2	NOUN
ejpam-1623	299	5	=	=	SYM
ejpam-1623	299	6	n	n	X
ejpam-1623	299	7	(	(	PUNCT
ejpam-1623	299	8	191x2	191x2	NUM
ejpam-1623	299	9	3	3	NUM
ejpam-1623	299	10	−	−	PROPN
ejpam-1623	299	11	16ψ2	16ψ2	NUM
ejpam-1623	299	12	)	)	PUNCT
ejpam-1623	299	13	+	+	CCONJ
ejpam-1623	299	14	c6	c6	PROPN
ejpam-1623	299	15	∑	∑	PROPN
ejpam-1623	299	16	λ2	λ2	PROPN
ejpam-1623	299	17	=	=	NOUN
ejpam-1623	299	18	n	n	X
ejpam-1623	299	19	(	(	PUNCT
ejpam-1623	299	20	191x2	191x2	NUM
ejpam-1623	299	21	1	1	NUM
ejpam-1623	299	22	−	−	PROPN
ejpam-1623	299	23	12λ2	12λ2	NUM
ejpam-1623	299	24	)	)	PUNCT
ejpam-1623	299	25	+	+	CCONJ
ejpam-1623	299	26	c7	c7	PROPN
ejpam-1623	299	27	∑	∑	PROPN
ejpam-1623	299	28	λ2	λ2	PROPN
ejpam-1623	299	29	=	=	NOUN
ejpam-1623	299	30	n	n	X
ejpam-1623	299	31	(	(	PUNCT
ejpam-1623	299	32	191x1x2	191x1x2	NUM
ejpam-1623	299	33	+	+	CCONJ
ejpam-1623	299	34	1	1	NUM
ejpam-1623	299	35	2	2	NUM
ejpam-1623	299	36	λ2	λ2	NOUN
ejpam-1623	299	37	)	)	PUNCT
ejpam-1623	299	38	+	+	CCONJ
ejpam-1623	299	39	c8	c8	PROPN
ejpam-1623	299	40	∑	∑	PUNCT
ejpam-1623	299	41	υ2	υ2	PROPN
ejpam-1623	299	42	=	=	SYM
ejpam-1623	299	43	n	n	X
ejpam-1623	299	44	(	(	PUNCT
ejpam-1623	299	45	191x2	191x2	NUM
ejpam-1623	299	46	1	1	NUM
ejpam-1623	299	47	−	−	NUM
ejpam-1623	299	48	10υ2	10υ2	NUM
ejpam-1623	299	49	)	)	PUNCT
ejpam-1623	299	50	+	+	CCONJ
ejpam-1623	299	51	c9	c9	NOUN
ejpam-1623	299	52	∑	∑	PUNCT
ejpam-1623	299	53	υ2	υ2	PROPN
ejpam-1623	299	54	=	=	SYM
ejpam-1623	299	55	n	n	X
ejpam-1623	299	56	(	(	PUNCT
ejpam-1623	299	57	191x2	191x2	NUM
ejpam-1623	299	58	2	2	NUM
ejpam-1623	299	59	−	−	NUM
ejpam-1623	299	60	5υ2	5υ2	NUM
ejpam-1623	299	61	)	)	PUNCT
ejpam-1623	299	62	+	+	CCONJ
ejpam-1623	299	63	c10	c10	VERB
ejpam-1623	299	64	∑	∑	PROPN
ejpam-1623	299	65	ω2	ω2	PROPN
ejpam-1623	299	66	=	=	NOUN
ejpam-1623	299	67	n	n	X
ejpam-1623	299	68	(	(	PUNCT
ejpam-1623	299	69	191x1x2	191x1x2	NUM
ejpam-1623	299	70	+	+	SYM
ejpam-1623	299	71	1	1	NUM
ejpam-1623	299	72	2	2	NUM
ejpam-1623	299	73	ω2	ω2	NUM
ejpam-1623	299	74	)	)	PUNCT
ejpam-1623	299	75	+	+	CCONJ
ejpam-1623	299	76	c11	c11	NOUN
ejpam-1623	299	77	∑	∑	PROPN
ejpam-1623	299	78	ω2	ω2	PROPN
ejpam-1623	299	79	=	=	NOUN
ejpam-1623	299	80	n	n	X
ejpam-1623	299	81	(	(	PUNCT
ejpam-1623	299	82	191x2	191x2	NUM
ejpam-1623	299	83	2	2	NUM
ejpam-1623	299	84	−	−	NUM
ejpam-1623	299	85	6ω2	6ω2	NUM
ejpam-1623	299	86	)	)	PUNCT
ejpam-1623	300	1	+	+	CCONJ
ejpam-1623	300	2	c12	c12	PROPN
ejpam-1623	300	3	∑	∑	ADV
ejpam-1623	300	4	π2	π2	X
ejpam-1623	300	5	=	=	SYM
ejpam-1623	300	6	n	n	X
ejpam-1623	300	7	(	(	PUNCT
ejpam-1623	300	8	191x2	191x2	NUM
ejpam-1623	300	9	1	1	NUM
ejpam-1623	300	10	−	−	NOUN
ejpam-1623	300	11	9π2	9π2	NUM
ejpam-1623	300	12	)	)	PUNCT
ejpam-1623	301	1	+	+	CCONJ
ejpam-1623	301	2	c13	c13	PROPN
ejpam-1623	301	3	∑	∑	PROPN
ejpam-1623	301	4	π2	π2	X
ejpam-1623	301	5	=	=	SYM
ejpam-1623	301	6	n	n	X
ejpam-1623	301	7	(	(	PUNCT
ejpam-1623	301	8	191x2	191x2	NUM
ejpam-1623	301	9	2	2	NUM
ejpam-1623	301	10	−	−	NUM
ejpam-1623	301	11	6π2	6π2	NUM
ejpam-1623	301	12	)	)	PUNCT
ejpam-1623	302	1	+	+	CCONJ
ejpam-1623	302	2	c14	c14	NOUN
ejpam-1623	302	3	∑	∑	PUNCT
ejpam-1623	302	4	f1⊕φ1	f1⊕φ1	PROPN
ejpam-1623	302	5	=	=	NOUN
ejpam-1623	302	6	n	n	X
ejpam-1623	302	7	(	(	PUNCT
ejpam-1623	302	8	191x1x2	191x1x2	NUM
ejpam-1623	302	9	+	+	CCONJ
ejpam-1623	302	10	1	1	NUM
ejpam-1623	302	11	2	2	NUM
ejpam-1623	302	12	(	(	PUNCT
ejpam-1623	302	13	f1	f1	NOUN
ejpam-1623	302	14	⊕φ1	⊕φ1	NOUN
ejpam-1623	302	15	)	)	PUNCT
ejpam-1623	302	16	)	)	PUNCT
ejpam-1623	303	1	+	+	CCONJ
ejpam-1623	303	2	c15	c15	VERB
ejpam-1623	303	3	∑	∑	PUNCT
ejpam-1623	303	4	f1⊕φ1	f1⊕φ1	PROPN
ejpam-1623	303	5	=	=	NOUN
ejpam-1623	303	6	n	n	X
ejpam-1623	303	7	(	(	PUNCT
ejpam-1623	303	8	191x2	191x2	NUM
ejpam-1623	303	9	3	3	NUM
ejpam-1623	303	10	−	−	PROPN
ejpam-1623	303	11	24(f1⊕φ1	24(f1⊕φ1	NUM
ejpam-1623	303	12	)	)	PUNCT
ejpam-1623	303	13	)	)	PUNCT
ejpam-1623	304	1	+	+	CCONJ
ejpam-1623	304	2	c16	c16	PROPN
ejpam-1623	304	3	∑	∑	SYM
ejpam-1623	304	4	f1⊕ψ1	f1⊕ψ1	PROPN
ejpam-1623	304	5	=	=	NOUN
ejpam-1623	304	6	n	n	X
ejpam-1623	304	7	(	(	PUNCT
ejpam-1623	304	8	191x2	191x2	NUM
ejpam-1623	304	9	2	2	NUM
ejpam-1623	304	10	−	−	NOUN
ejpam-1623	304	11	(	(	PUNCT
ejpam-1623	304	12	f1	f1	PROPN
ejpam-1623	304	13	⊕ψ1	⊕ψ1	NOUN
ejpam-1623	304	14	)	)	PUNCT
ejpam-1623	304	15	)	)	PUNCT
ejpam-1623	305	1	+	+	CCONJ
ejpam-1623	305	2	c17	c17	NOUN
ejpam-1623	305	3	∑	∑	SYM
ejpam-1623	305	4	f1⊕ψ1	f1⊕ψ1	PROPN
ejpam-1623	305	5	=	=	NOUN
ejpam-1623	305	6	n	n	X
ejpam-1623	305	7	(	(	PUNCT
ejpam-1623	305	8	191x3x4	191x3x4	NUM
ejpam-1623	305	9	+	+	NOUN
ejpam-1623	305	10	1	1	NUM
ejpam-1623	305	11	2	2	NUM
ejpam-1623	305	12	(	(	PUNCT
ejpam-1623	305	13	f1	f1	NOUN
ejpam-1623	305	14	⊕ψ1	⊕ψ1	NOUN
ejpam-1623	305	15	)	)	PUNCT
ejpam-1623	305	16	)	)	PUNCT
ejpam-1623	306	1	+	+	CCONJ
ejpam-1623	306	2	c18	c18	NOUN
ejpam-1623	306	3	∑	∑	PUNCT
ejpam-1623	306	4	f1⊕λ1	f1⊕λ1	X
ejpam-1623	306	5	=	=	NOUN
ejpam-1623	306	6	n	n	X
ejpam-1623	306	7	(	(	PUNCT
ejpam-1623	306	8	191x1x2	191x1x2	NUM
ejpam-1623	306	9	+	+	CCONJ
ejpam-1623	306	10	1	1	NUM
ejpam-1623	306	11	2	2	NUM
ejpam-1623	306	12	(	(	PUNCT
ejpam-1623	306	13	f1	f1	NOUN
ejpam-1623	306	14	⊕λ1	⊕λ1	NOUN
ejpam-1623	306	15	)	)	PUNCT
ejpam-1623	306	16	)	)	PUNCT
ejpam-1623	307	1	+	+	CCONJ
ejpam-1623	307	2	c19	c19	NOUN
ejpam-1623	307	3	∑	∑	NOUN
ejpam-1623	307	4	f1⊕λ1	f1⊕λ1	X
ejpam-1623	307	5	=	=	NOUN
ejpam-1623	307	6	n	n	PRON
ejpam-1623	307	7	(	(	PUNCT
ejpam-1623	307	8	191x2	191x2	NUM
ejpam-1623	307	9	4	4	NUM
ejpam-1623	307	10	−	−	PROPN
ejpam-1623	307	11	4(f1	4(f1	NOUN
ejpam-1623	307	12	⊕λ1	⊕λ1	NOUN
ejpam-1623	307	13	)	)	PUNCT
ejpam-1623	307	14	)	)	PUNCT
ejpam-1623	307	15	references	reference	VERB
ejpam-1623	307	16	467	467	NUM
ejpam-1623	307	17	+	+	SYM
ejpam-1623	307	18	c20	c20	NOUN
ejpam-1623	307	19	∑	∑	PROPN
ejpam-1623	307	20	f1⊕υ1	f1⊕υ1	PROPN
ejpam-1623	307	21	=	=	NOUN
ejpam-1623	307	22	n	n	X
ejpam-1623	307	23	(	(	PUNCT
ejpam-1623	307	24	191x2	191x2	NUM
ejpam-1623	307	25	1	1	NUM
ejpam-1623	307	26	−	−	NOUN
ejpam-1623	307	27	48(f1	48(f1	NUM
ejpam-1623	307	28	⊕υ1	⊕υ1	NOUN
ejpam-1623	307	29	)	)	PUNCT
ejpam-1623	307	30	)	)	PUNCT
ejpam-1623	308	1	+	+	CCONJ
ejpam-1623	308	2	c21	c21	NOUN
ejpam-1623	308	3	∑	∑	PUNCT
ejpam-1623	308	4	f1⊕υ1	f1⊕υ1	PROPN
ejpam-1623	308	5	=	=	NOUN
ejpam-1623	308	6	n	n	PRON
ejpam-1623	308	7	(	(	PUNCT
ejpam-1623	308	8	191x3x4	191x3x4	NUM
ejpam-1623	308	9	+	+	NOUN
ejpam-1623	308	10	3	3	NUM
ejpam-1623	308	11	2	2	NUM
ejpam-1623	308	12	(	(	PUNCT
ejpam-1623	308	13	f1	f1	PROPN
ejpam-1623	308	14	⊕υ1	⊕υ1	NOUN
ejpam-1623	308	15	)	)	PUNCT
ejpam-1623	308	16	)	)	PUNCT
ejpam-1623	309	1	+	+	CCONJ
ejpam-1623	309	2	c22	c22	NOUN
ejpam-1623	309	3	∑	∑	PUNCT
ejpam-1623	309	4	f1⊕ω1	f1⊕ω1	PROPN
ejpam-1623	309	5	=	=	NOUN
ejpam-1623	309	6	n	n	X
ejpam-1623	309	7	(	(	PUNCT
ejpam-1623	309	8	191x1x2	191x1x2	NUM
ejpam-1623	309	9	+	+	SYM
ejpam-1623	309	10	1	1	NUM
ejpam-1623	309	11	2	2	NUM
ejpam-1623	309	12	(	(	PUNCT
ejpam-1623	309	13	f1	f1	NOUN
ejpam-1623	309	14	⊕ω1	⊕ω1	NOUN
ejpam-1623	309	15	)	)	PUNCT
ejpam-1623	309	16	)	)	PUNCT
ejpam-1623	310	1	+	+	CCONJ
ejpam-1623	310	2	c23	c23	PROPN
ejpam-1623	310	3	∑	∑	SYM
ejpam-1623	310	4	f1⊕ω1	f1⊕ω1	PROPN
ejpam-1623	310	5	=	=	NOUN
ejpam-1623	310	6	n	n	X
ejpam-1623	310	7	(	(	PUNCT
ejpam-1623	310	8	191x2	191x2	NUM
ejpam-1623	310	9	3	3	NUM
ejpam-1623	310	10	−	−	PROPN
ejpam-1623	310	11	10(f1	10(f1	NUM
ejpam-1623	310	12	⊕ω1	⊕ω1	NOUN
ejpam-1623	310	13	)	)	PUNCT
ejpam-1623	310	14	)	)	PUNCT
ejpam-1623	311	1	+	+	CCONJ
ejpam-1623	311	2	c24	c24	PROPN
ejpam-1623	311	3	∑	∑	PROPN
ejpam-1623	311	4	f1⊕π1	f1⊕π1	PROPN
ejpam-1623	311	5	=	=	NOUN
ejpam-1623	311	6	n	n	X
ejpam-1623	311	7	(	(	PUNCT
ejpam-1623	311	8	191x2	191x2	NUM
ejpam-1623	311	9	2	2	NUM
ejpam-1623	311	10	−	−	NOUN
ejpam-1623	311	11	(	(	PUNCT
ejpam-1623	311	12	f1	f1	PROPN
ejpam-1623	311	13	⊕π1))+	⊕π1))+	PROPN
ejpam-1623	311	14	c25	c25	PROPN
ejpam-1623	311	15	∑	∑	PROPN
ejpam-1623	311	16	f1⊕π1	f1⊕π1	PROPN
ejpam-1623	311	17	=	=	PROPN
ejpam-1623	311	18	n	n	X
ejpam-1623	311	19	(	(	PUNCT
ejpam-1623	311	20	191x3x4	191x3x4	NUM
ejpam-1623	311	21	+	+	CCONJ
ejpam-1623	311	22	5	5	NUM
ejpam-1623	311	23	2	2	NUM
ejpam-1623	311	24	(	(	PUNCT
ejpam-1623	311	25	f1	f1	NOUN
ejpam-1623	311	26	⊕π1	⊕π1	PROPN
ejpam-1623	311	27	)	)	PUNCT
ejpam-1623	311	28	)	)	PUNCT
ejpam-1623	312	1	+	+	CCONJ
ejpam-1623	312	2	c26	c26	NOUN
ejpam-1623	312	3	∑	∑	PUNCT
ejpam-1623	312	4	φ1⊕ψ1	φ1⊕ψ1	NOUN
ejpam-1623	312	5	=	=	SYM
ejpam-1623	312	6	n	n	X
ejpam-1623	312	7	(	(	PUNCT
ejpam-1623	312	8	191x2	191x2	NUM
ejpam-1623	312	9	1	1	NUM
ejpam-1623	312	10	−	−	PROPN
ejpam-1623	312	11	24(φ1⊕ψ1))+	24(φ1⊕ψ1))+	NUM
ejpam-1623	312	12	c27	c27	NOUN
ejpam-1623	312	13	∑	∑	PUNCT
ejpam-1623	312	14	φ1⊕ψ1	φ1⊕ψ1	PROPN
ejpam-1623	312	15	=	=	SYM
ejpam-1623	312	16	n	n	X
ejpam-1623	312	17	(	(	PUNCT
ejpam-1623	312	18	191x2	191x2	NUM
ejpam-1623	312	19	2	2	NUM
ejpam-1623	312	20	−	−	NUM
ejpam-1623	312	21	2(φ1⊕ψ1	2(φ1⊕ψ1	NUM
ejpam-1623	312	22	)	)	PUNCT
ejpam-1623	312	23	)	)	PUNCT
ejpam-1623	313	1	+	+	CCONJ
ejpam-1623	313	2	c28	c28	NOUN
ejpam-1623	313	3	∑	∑	PUNCT
ejpam-1623	313	4	φ1⊕λ1	φ1⊕λ1	PROPN
ejpam-1623	313	5	=	=	NOUN
ejpam-1623	313	6	n	n	X
ejpam-1623	313	7	(	(	PUNCT
ejpam-1623	313	8	191x1x2	191x1x2	NUM
ejpam-1623	313	9	+	+	CCONJ
ejpam-1623	313	10	1	1	NUM
ejpam-1623	313	11	2	2	NUM
ejpam-1623	313	12	(	(	PUNCT
ejpam-1623	313	13	φ1	φ1	PROPN
ejpam-1623	313	14	⊕λ1))+	⊕λ1))+	PROPN
ejpam-1623	313	15	c29	c29	VERB
ejpam-1623	313	16	∑	∑	PROPN
ejpam-1623	313	17	φ1⊕λ1	φ1⊕λ1	PROPN
ejpam-1623	313	18	=	=	NOUN
ejpam-1623	313	19	n	n	X
ejpam-1623	313	20	(	(	PUNCT
ejpam-1623	313	21	191x2	191x2	NUM
ejpam-1623	313	22	3	3	NUM
ejpam-1623	313	23	−	−	PROPN
ejpam-1623	313	24	12(φ1⊕λ1	12(φ1⊕λ1	NUM
ejpam-1623	313	25	)	)	PUNCT
ejpam-1623	313	26	)	)	PUNCT
ejpam-1623	314	1	+	+	CCONJ
ejpam-1623	314	2	c30	c30	NOUN
ejpam-1623	314	3	∑	∑	PUNCT
ejpam-1623	314	4	φ1⊕υ1	φ1⊕υ1	PROPN
ejpam-1623	314	5	=	=	SYM
ejpam-1623	314	6	n	n	X
ejpam-1623	314	7	(	(	PUNCT
ejpam-1623	314	8	191x1x2	191x1x2	NUM
ejpam-1623	314	9	+	+	SYM
ejpam-1623	314	10	1	1	NUM
ejpam-1623	314	11	2	2	NUM
ejpam-1623	314	12	(	(	PUNCT
ejpam-1623	314	13	φ1	φ1	NOUN
ejpam-1623	314	14	⊕υ1	⊕υ1	NUM
ejpam-1623	314	15	)	)	PUNCT
ejpam-1623	314	16	)	)	PUNCT
ejpam-1623	315	1	+	+	CCONJ
ejpam-1623	315	2	c31	c31	ADJ
ejpam-1623	315	3	∑	∑	PUNCT
ejpam-1623	315	4	φ1⊕υ1	φ1⊕υ1	PROPN
ejpam-1623	315	5	=	=	SYM
ejpam-1623	315	6	n	n	X
ejpam-1623	315	7	(	(	PUNCT
ejpam-1623	315	8	191x2	191x2	NUM
ejpam-1623	315	9	2	2	NUM
ejpam-1623	315	10	−	−	NUM
ejpam-1623	315	11	2(φ1⊕υ1	2(φ1⊕υ1	NUM
ejpam-1623	315	12	)	)	PUNCT
ejpam-1623	315	13	)	)	PUNCT
ejpam-1623	316	1	+	+	CCONJ
ejpam-1623	316	2	c32	c32	NOUN
ejpam-1623	316	3	∑	∑	CCONJ
ejpam-1623	316	4	φ1⊕ω1	φ1⊕ω1	PROPN
ejpam-1623	316	5	=	=	SYM
ejpam-1623	316	6	n	n	X
ejpam-1623	316	7	(	(	PUNCT
ejpam-1623	316	8	191x2	191x2	NUM
ejpam-1623	316	9	3	3	NUM
ejpam-1623	316	10	−	−	PROPN
ejpam-1623	316	11	8(φ1⊕ω1)))+	8(φ1⊕ω1)))+	NOUN
ejpam-1623	316	12	c33	c33	VERB
ejpam-1623	316	13	∑	∑	PUNCT
ejpam-1623	316	14	φ1⊕ω1	φ1⊕ω1	PROPN
ejpam-1623	316	15	=	=	SYM
ejpam-1623	316	16	n	n	X
ejpam-1623	316	17	(	(	PUNCT
ejpam-1623	316	18	191x3x4	191x3x4	NUM
ejpam-1623	316	19	+	+	CCONJ
ejpam-1623	316	20	1	1	NUM
ejpam-1623	316	21	2	2	NUM
ejpam-1623	316	22	(	(	PUNCT
ejpam-1623	316	23	φ1	φ1	NOUN
ejpam-1623	316	24	⊕ω1	⊕ω1	PROPN
ejpam-1623	316	25	)	)	PUNCT
ejpam-1623	316	26	+	+	CCONJ
ejpam-1623	316	27	c34	c34	PRON
ejpam-1623	316	28	∑	∑	PUNCT
ejpam-1623	316	29	φ1⊕π1	φ1⊕π1	X
ejpam-1623	316	30	=	=	NOUN
ejpam-1623	316	31	n	n	X
ejpam-1623	316	32	(	(	PUNCT
ejpam-1623	316	33	191x2	191x2	NUM
ejpam-1623	316	34	1	1	NUM
ejpam-1623	316	35	−	−	PROPN
ejpam-1623	316	36	24(φ1⊕π1	24(φ1⊕π1	NUM
ejpam-1623	316	37	)	)	PUNCT
ejpam-1623	316	38	)	)	PUNCT
ejpam-1623	317	1	+	+	CCONJ
ejpam-1623	317	2	c35	c35	NOUN
ejpam-1623	317	3	∑	∑	PROPN
ejpam-1623	317	4	φ1⊕π1	φ1⊕π1	X
ejpam-1623	317	5	=	=	SYM
ejpam-1623	317	6	n	n	X
ejpam-1623	317	7	(	(	PUNCT
ejpam-1623	317	8	191x2	191x2	NUM
ejpam-1623	317	9	3	3	NUM
ejpam-1623	317	10	−	−	NOUN
ejpam-1623	317	11	9(φ1⊕π1	9(φ1⊕π1	NUM
ejpam-1623	317	12	)	)	PUNCT
ejpam-1623	317	13	)	)	PUNCT
ejpam-1623	318	1	+	+	CCONJ
ejpam-1623	318	2	c36	c36	PROPN
ejpam-1623	318	3	∑	∑	PUNCT
ejpam-1623	318	4	ψ1⊕λ1	ψ1⊕λ1	NOUN
ejpam-1623	318	5	=	=	NOUN
ejpam-1623	318	6	n	n	X
ejpam-1623	318	7	(	(	PUNCT
ejpam-1623	318	8	191x1x2	191x1x2	NUM
ejpam-1623	318	9	+	+	SYM
ejpam-1623	318	10	1	1	NUM
ejpam-1623	318	11	2	2	NUM
ejpam-1623	318	12	(	(	PUNCT
ejpam-1623	318	13	ψ1	ψ1	NOUN
ejpam-1623	318	14	⊕λ1))+	⊕λ1))+	PROPN
ejpam-1623	318	15	c37	c37	NOUN
ejpam-1623	318	16	∑	∑	PUNCT
ejpam-1623	318	17	ψ1⊕λ1	ψ1⊕λ1	VERB
ejpam-1623	318	18	=	=	NOUN
ejpam-1623	318	19	n	n	X
ejpam-1623	318	20	(	(	PUNCT
ejpam-1623	318	21	191x2	191x2	NUM
ejpam-1623	318	22	2	2	NUM
ejpam-1623	318	23	−	−	NOUN
ejpam-1623	318	24	3(ψ1⊕λ1	3(ψ1⊕λ1	NUM
ejpam-1623	318	25	)	)	PUNCT
ejpam-1623	318	26	)	)	PUNCT
ejpam-1623	319	1	+	+	CCONJ
ejpam-1623	319	2	c38	c38	NOUN
ejpam-1623	319	3	∑	∑	PUNCT
ejpam-1623	319	4	ψ1⊕υ1	ψ1⊕υ1	NOUN
ejpam-1623	319	5	=	=	SYM
ejpam-1623	319	6	n	n	X
ejpam-1623	319	7	(	(	PUNCT
ejpam-1623	319	8	191x2	191x2	NUM
ejpam-1623	319	9	3	3	NUM
ejpam-1623	319	10	−	−	PROPN
ejpam-1623	319	11	10(ψ1⊕υ1	10(ψ1⊕υ1	NUM
ejpam-1623	319	12	)	)	PUNCT
ejpam-1623	319	13	)	)	PUNCT
ejpam-1623	320	1	+	+	CCONJ
ejpam-1623	320	2	c39	c39	NOUN
ejpam-1623	320	3	∑	∑	CCONJ
ejpam-1623	320	4	ψ1⊕υ1	ψ1⊕υ1	NOUN
ejpam-1623	320	5	=	=	NOUN
ejpam-1623	320	6	n	n	X
ejpam-1623	320	7	(	(	PUNCT
ejpam-1623	320	8	191x2	191x2	NUM
ejpam-1623	320	9	4	4	NUM
ejpam-1623	320	10	−	−	NOUN
ejpam-1623	320	11	5(ψ1⊕υ1	5(ψ1⊕υ1	NUM
ejpam-1623	320	12	)	)	PUNCT
ejpam-1623	320	13	)	)	PUNCT
ejpam-1623	321	1	+	+	CCONJ
ejpam-1623	321	2	c40	c40	NOUN
ejpam-1623	321	3	∑	∑	PART
ejpam-1623	321	4	ψ1⊕ω1	ψ1⊕ω1	NOUN
ejpam-1623	321	5	=	=	NOUN
ejpam-1623	321	6	n	n	X
ejpam-1623	321	7	(	(	PUNCT
ejpam-1623	321	8	191x1x2	191x1x2	NUM
ejpam-1623	321	9	+	+	SYM
ejpam-1623	321	10	1	1	NUM
ejpam-1623	321	11	2	2	NUM
ejpam-1623	321	12	(	(	PUNCT
ejpam-1623	321	13	ψ1	ψ1	ADJ
ejpam-1623	321	14	⊕ω1	⊕ω1	NOUN
ejpam-1623	321	15	)	)	PUNCT
ejpam-1623	321	16	)	)	PUNCT
ejpam-1623	322	1	+	+	CCONJ
ejpam-1623	322	2	c41	c41	NOUN
ejpam-1623	322	3	∑	∑	PUNCT
ejpam-1623	322	4	ψ1⊕ω1	ψ1⊕ω1	NOUN
ejpam-1623	322	5	=	=	SYM
ejpam-1623	322	6	n	n	X
ejpam-1623	322	7	(	(	PUNCT
ejpam-1623	322	8	191x2	191x2	NUM
ejpam-1623	322	9	3	3	NUM
ejpam-1623	322	10	−	−	NOUN
ejpam-1623	322	11	8(ψ1⊕ω1	8(ψ1⊕ω1	NUM
ejpam-1623	322	12	)	)	PUNCT
ejpam-1623	322	13	)	)	PUNCT
ejpam-1623	323	1	+	+	CCONJ
ejpam-1623	323	2	c42	c42	VERB
ejpam-1623	323	3	∑	∑	PUNCT
ejpam-1623	323	4	ψ1⊕π1	ψ1⊕π1	PROPN
ejpam-1623	323	5	=	=	PROPN
ejpam-1623	323	6	n	n	X
ejpam-1623	323	7	(	(	PUNCT
ejpam-1623	323	8	191x2	191x2	NUM
ejpam-1623	323	9	1	1	NUM
ejpam-1623	323	10	−	−	PROPN
ejpam-1623	323	11	16(ψ1⊕π1	16(ψ1⊕π1	NUM
ejpam-1623	323	12	)	)	PUNCT
ejpam-1623	323	13	)	)	PUNCT
ejpam-1623	324	1	+	+	CCONJ
ejpam-1623	324	2	c43	c43	PROPN
ejpam-1623	324	3	∑	∑	PUNCT
ejpam-1623	324	4	ψ1⊕π1	ψ1⊕π1	PROPN
ejpam-1623	324	5	=	=	PROPN
ejpam-1623	324	6	n	n	X
ejpam-1623	324	7	(	(	PUNCT
ejpam-1623	324	8	191x3x4	191x3x4	NUM
ejpam-1623	324	9	+	+	SYM
ejpam-1623	324	10	5	5	NUM
ejpam-1623	324	11	2	2	NUM
ejpam-1623	324	12	(	(	PUNCT
ejpam-1623	324	13	ψ1	ψ1	NOUN
ejpam-1623	324	14	⊕π1	⊕π1	PROPN
ejpam-1623	324	15	)	)	PUNCT
ejpam-1623	324	16	)	)	PUNCT
ejpam-1623	325	1	+	+	CCONJ
ejpam-1623	325	2	c44	c44	VERB
ejpam-1623	325	3	∑	∑	PUNCT
ejpam-1623	325	4	λ1⊕υ1	λ1⊕υ1	PRON
ejpam-1623	325	5	=	=	SYM
ejpam-1623	325	6	n	n	X
ejpam-1623	325	7	(	(	PUNCT
ejpam-1623	325	8	191x2	191x2	NUM
ejpam-1623	325	9	1	1	NUM
ejpam-1623	325	10	−	−	PROPN
ejpam-1623	325	11	12(λ1⊕υ1))+	12(λ1⊕υ1))+	NUM
ejpam-1623	325	12	c45	c45	PROPN
ejpam-1623	325	13	∑	∑	PUNCT
ejpam-1623	325	14	λ1⊕ω1	λ1⊕ω1	X
ejpam-1623	325	15	=	=	SYM
ejpam-1623	325	16	n	n	X
ejpam-1623	325	17	(	(	PUNCT
ejpam-1623	325	18	191x2	191x2	NUM
ejpam-1623	325	19	2	2	NUM
ejpam-1623	325	20	−	−	NOUN
ejpam-1623	325	21	4(λ1⊕υ1	4(λ1⊕υ1	NUM
ejpam-1623	325	22	)	)	PUNCT
ejpam-1623	325	23	)	)	PUNCT
ejpam-1623	326	1	+	+	CCONJ
ejpam-1623	326	2	c46	c46	NOUN
ejpam-1623	326	3	∑	∑	PUNCT
ejpam-1623	326	4	λ1⊕ω1	λ1⊕ω1	NOUN
ejpam-1623	326	5	=	=	SYM
ejpam-1623	326	6	n	n	X
ejpam-1623	326	7	(	(	PUNCT
ejpam-1623	326	8	191x2	191x2	NUM
ejpam-1623	326	9	3	3	NUM
ejpam-1623	326	10	−	−	NUM
ejpam-1623	326	11	8(λ1⊕ω1))+	8(λ1⊕ω1))+	NUM
ejpam-1623	326	12	c47	c47	NOUN
ejpam-1623	326	13	∑	∑	PUNCT
ejpam-1623	326	14	λ1⊕ω1	λ1⊕ω1	NOUN
ejpam-1623	326	15	=	=	SYM
ejpam-1623	326	16	n	n	X
ejpam-1623	326	17	(	(	PUNCT
ejpam-1623	326	18	191x2	191x2	NUM
ejpam-1623	326	19	4	4	NUM
ejpam-1623	326	20	−	−	NOUN
ejpam-1623	326	21	6(λ1⊕ω1	6(λ1⊕ω1	NUM
ejpam-1623	326	22	)	)	PUNCT
ejpam-1623	326	23	)	)	PUNCT
ejpam-1623	326	24	)	)	PUNCT
ejpam-1623	326	25	.	.	PUNCT
ejpam-1623	327	1	the	the	DET
ejpam-1623	327	2	coefficients	coefficient	NOUN
ejpam-1623	327	3	are	be	AUX
ejpam-1623	327	4	the	the	DET
ejpam-1623	327	5	same	same	ADJ
ejpam-1623	327	6	coefficients	coefficient	NOUN
ejpam-1623	327	7	with	with	ADP
ejpam-1623	327	8	preceding	precede	VERB
ejpam-1623	327	9	theorem	theorem	NOUN
ejpam-1623	327	10	,	,	PUNCT
ejpam-1623	327	11	see	see	VERB
ejpam-1623	327	12	table	table	NOUN
ejpam-1623	327	13	2	2	NUM
ejpam-1623	327	14	in	in	ADP
ejpam-1623	327	15	[	[	X
ejpam-1623	327	16	5	5	NUM
ejpam-1623	327	17	]	]	PUNCT
ejpam-1623	327	18	.	.	PUNCT
ejpam-1623	328	1	proof	proof	NOUN
ejpam-1623	328	2	.	.	PUNCT
ejpam-1623	329	1	it	it	PRON
ejpam-1623	329	2	follows	follow	VERB
ejpam-1623	329	3	from	from	ADP
ejpam-1623	329	4	the	the	DET
ejpam-1623	329	5	preceding	precede	VERB
ejpam-1623	329	6	theorem	theorem	NOUN
ejpam-1623	329	7	.	.	PUNCT
ejpam-1623	330	1	references	reference	NOUN
ejpam-1623	330	2	[	[	X
ejpam-1623	330	3	1	1	NUM
ejpam-1623	330	4	]	]	PUNCT
ejpam-1623	330	5	m.	m.	NOUN
ejpam-1623	330	6	bhargava	bhargava	PROPN
ejpam-1623	330	7	.	.	PUNCT
ejpam-1623	331	1	on	on	ADP
ejpam-1623	331	2	the	the	DET
ejpam-1623	331	3	conway	conway	NOUN
ejpam-1623	331	4	-	-	PUNCT
ejpam-1623	331	5	schneeberger	schneeberger	NOUN
ejpam-1623	331	6	fifteen	fifteen	NUM
ejpam-1623	331	7	theorem	theorem	VERB
ejpam-1623	331	8	.	.	PUNCT
ejpam-1623	332	1	contemporary	contemporary	ADJ
ejpam-1623	332	2	mathematics	mathematics	PROPN
ejpam-1623	332	3	272	272	NUM
ejpam-1623	332	4	,	,	PUNCT
ejpam-1623	332	5	27–37	27–37	NUM
ejpam-1623	332	6	.	.	PUNCT
ejpam-1623	332	7	2000	2000	NUM
ejpam-1623	332	8	.	.	PUNCT
ejpam-1623	333	1	references	reference	NOUN
ejpam-1623	333	2	468	468	NUM
ejpam-1623	334	1	[	[	X
ejpam-1623	334	2	2	2	NUM
ejpam-1623	334	3	]	]	PUNCT
ejpam-1623	334	4	m.	m.	NOUN
ejpam-1623	334	5	bhargava	bhargava	PROPN
ejpam-1623	334	6	and	and	CCONJ
ejpam-1623	334	7	j.	j.	PROPN
ejpam-1623	334	8	hanke	hanke	PROPN
ejpam-1623	334	9	.	.	PUNCT
ejpam-1623	335	1	universal	universal	ADJ
ejpam-1623	335	2	quadratic	quadratic	ADJ
ejpam-1623	335	3	forms	form	NOUN
ejpam-1623	335	4	and	and	CCONJ
ejpam-1623	335	5	the	the	DET
ejpam-1623	335	6	290	290	NUM
ejpam-1623	335	7	-	-	PUNCT
ejpam-1623	335	8	theorem	theorem	ADJ
ejpam-1623	335	9	,	,	PUNCT
ejpam-1623	335	10	inventiones	inventione	NOUN
ejpam-1623	335	11	mathematicae	mathematicae	PROPN
ejpam-1623	335	12	,	,	PUNCT
ejpam-1623	335	13	to	to	PART
ejpam-1623	335	14	appear	appear	VERB
ejpam-1623	335	15	.	.	PUNCT
ejpam-1623	336	1	[	[	X
ejpam-1623	336	2	3	3	X
ejpam-1623	336	3	]	]	X
ejpam-1623	336	4	j.	j.	PROPN
ejpam-1623	336	5	hanke	hanke	PROPN
ejpam-1623	336	6	.	.	PUNCT
ejpam-1623	337	1	some	some	DET
ejpam-1623	337	2	recent	recent	ADJ
ejpam-1623	337	3	results	result	NOUN
ejpam-1623	337	4	about	about	ADP
ejpam-1623	337	5	ternary	ternary	ADJ
ejpam-1623	337	6	quadratic	quadratic	ADJ
ejpam-1623	337	7	forms	form	NOUN
ejpam-1623	337	8	,	,	PUNCT
ejpam-1623	337	9	crm	crm	NOUN
ejpam-1623	337	10	proceedings	proceeding	NOUN
ejpam-1623	337	11	and	and	CCONJ
ejpam-1623	337	12	lecture	lecture	NOUN
ejpam-1623	337	13	notes	note	NOUN
ejpam-1623	337	14	,	,	PUNCT
ejpam-1623	337	15	number	number	NOUN
ejpam-1623	337	16	theory	theory	NOUN
ejpam-1623	337	17	,	,	PUNCT
ejpam-1623	337	18	american	american	PROPN
ejpam-1623	337	19	mathematical	mathematical	ADJ
ejpam-1623	337	20	society	society	NOUN
ejpam-1623	337	21	,	,	PUNCT
ejpam-1623	337	22	147	147	NUM
ejpam-1623	337	23	-	-	SYM
ejpam-1623	337	24	165	165	NUM
ejpam-1623	337	25	.	.	PUNCT
ejpam-1623	337	26	2002	2002	NUM
ejpam-1623	337	27	.	.	PUNCT
ejpam-1623	338	1	[	[	X
ejpam-1623	338	2	4	4	X
ejpam-1623	338	3	]	]	PUNCT
ejpam-1623	338	4	b.	b.	PROPN
ejpam-1623	338	5	kendirli	kendirli	PROPN
ejpam-1623	338	6	.	.	PUNCT
ejpam-1623	339	1	cusp	cusp	NOUN
ejpam-1623	339	2	forms	form	NOUN
ejpam-1623	339	3	in	in	ADP
ejpam-1623	339	4	s4(γ0(79	s4(γ0(79	NOUN
ejpam-1623	339	5	)	)	PUNCT
ejpam-1623	339	6	)	)	PUNCT
ejpam-1623	339	7	and	and	CCONJ
ejpam-1623	339	8	the	the	DET
ejpam-1623	339	9	number	number	NOUN
ejpam-1623	339	10	of	of	ADP
ejpam-1623	339	11	representations	representation	NOUN
ejpam-1623	339	12	of	of	ADP
ejpam-1623	339	13	positive	positive	ADJ
ejpam-1623	339	14	integers	integer	NOUN
ejpam-1623	339	15	by	by	ADP
ejpam-1623	339	16	some	some	DET
ejpam-1623	339	17	direct	direct	ADJ
ejpam-1623	339	18	sum	sum	NOUN
ejpam-1623	339	19	of	of	ADP
ejpam-1623	339	20	binary	binary	ADJ
ejpam-1623	339	21	quadratic	quadratic	ADJ
ejpam-1623	339	22	forms	form	NOUN
ejpam-1623	339	23	with	with	ADP
ejpam-1623	339	24	discriminant	discriminant	ADJ
ejpam-1623	339	25	−79	−79	NOUN
ejpam-1623	339	26	,	,	PUNCT
ejpam-1623	339	27	bulletin	bulletin	NOUN
ejpam-1623	339	28	of	of	ADP
ejpam-1623	339	29	korean	korean	PROPN
ejpam-1623	339	30	mathematical	mathematical	ADJ
ejpam-1623	339	31	society	society	NOUN
ejpam-1623	339	32	,	,	PUNCT
ejpam-1623	339	33	49	49	NUM
ejpam-1623	339	34	,	,	PUNCT
ejpam-1623	339	35	3	3	NUM
ejpam-1623	339	36	,	,	PUNCT
ejpam-1623	339	37	529	529	NUM
ejpam-1623	339	38	-	-	SYM
ejpam-1623	339	39	572	572	NUM
ejpam-1623	339	40	.	.	NOUN
ejpam-1623	339	41	2012	2012	NUM
ejpam-1623	339	42	.	.	PUNCT
ejpam-1623	340	1	[	[	X
ejpam-1623	340	2	5	5	X
ejpam-1623	340	3	]	]	PUNCT
ejpam-1623	340	4	b.	b.	PROPN
ejpam-1623	340	5	köklüce	köklüce	PROPN
ejpam-1623	340	6	.	.	PUNCT
ejpam-1623	341	1	theta	theta	PROPN
ejpam-1623	341	2	series	serie	NOUN
ejpam-1623	341	3	and	and	CCONJ
ejpam-1623	341	4	coefficients	coefficient	NOUN
ejpam-1623	341	5	.	.	PUNCT
ejpam-1623	342	1	www.fatih.edu.tr/~bkoklu	www.fatih.edu.tr/~bkoklu	PROPN
ejpam-1623	342	2	e	e	PROPN
ejpam-1623	342	3	/	/	SYM
ejpam-1623	342	4	ct191	ct191	PROPN
ejpam-1623	342	5	.	.	PUNCT
ejpam-1623	343	1	htm	htm	PROPN
ejpam-1623	343	2	.	.	PUNCT
ejpam-1623	344	1	[	[	X
ejpam-1623	344	2	6	6	NUM
ejpam-1623	344	3	]	]	PUNCT
ejpam-1623	344	4	t.	t.	PROPN
ejpam-1623	344	5	lam	lam	PROPN
ejpam-1623	344	6	.	.	PUNCT
ejpam-1623	345	1	the	the	DET
ejpam-1623	345	2	algebraic	algebraic	ADJ
ejpam-1623	345	3	theory	theory	NOUN
ejpam-1623	345	4	of	of	ADP
ejpam-1623	345	5	quadratic	quadratic	ADJ
ejpam-1623	345	6	forms	form	NOUN
ejpam-1623	345	7	.	.	PUNCT
ejpam-1623	346	1	mathematics	mathematic	NOUN
ejpam-1623	346	2	lecture	lecture	NOUN
ejpam-1623	346	3	note	note	NOUN
ejpam-1623	346	4	series	series	NOUN
ejpam-1623	346	5	,	,	PUNCT
ejpam-1623	346	6	w.	w.	PROPN
ejpam-1623	346	7	a.	a.	PROPN
ejpam-1623	346	8	benjamin	benjamin	PROPN
ejpam-1623	346	9	,	,	PUNCT
ejpam-1623	346	10	inc	inc	PROPN
ejpam-1623	346	11	.	.	PROPN
ejpam-1623	346	12	,	,	PUNCT
ejpam-1623	346	13	reading	reading	NOUN
ejpam-1623	346	14	,	,	PUNCT
ejpam-1623	346	15	mass	mass	PROPN
ejpam-1623	346	16	.	.	PROPN
ejpam-1623	346	17	,	,	PUNCT
ejpam-1623	346	18	1973	1973	NUM
ejpam-1623	346	19	.	.	PUNCT
ejpam-1623	347	1	[	[	X
ejpam-1623	347	2	7	7	X
ejpam-1623	347	3	]	]	PUNCT
ejpam-1623	347	4	l.	l.	PROPN
ejpam-1623	347	5	j.	j.	PROPN
ejpam-1623	347	6	mordell	mordell	PROPN
ejpam-1623	347	7	.	.	PUNCT
ejpam-1623	348	1	a	a	DET
ejpam-1623	348	2	new	new	ADJ
ejpam-1623	348	3	waring	waring	NOUN
ejpam-1623	348	4	’s	’s	PART
ejpam-1623	348	5	problem	problem	NOUN
ejpam-1623	348	6	with	with	ADP
ejpam-1623	348	7	squares	square	NOUN
ejpam-1623	348	8	of	of	ADP
ejpam-1623	348	9	linear	linear	PROPN
ejpam-1623	348	10	forms	form	NOUN
ejpam-1623	348	11	,	,	PUNCT
ejpam-1623	348	12	the	the	DET
ejpam-1623	348	13	quarterly	quarterly	ADJ
ejpam-1623	348	14	journal	journal	NOUN
ejpam-1623	348	15	of	of	ADP
ejpam-1623	348	16	mathematics	mathematic	NOUN
ejpam-1623	348	17	oxford	oxford	PROPN
ejpam-1623	348	18	1	1	NUM
ejpam-1623	348	19	,	,	PUNCT
ejpam-1623	348	20	276–288	276–288	NUM
ejpam-1623	348	21	.	.	PUNCT
ejpam-1623	348	22	1930	1930	NUM
ejpam-1623	348	23	.	.	PUNCT
ejpam-1623	349	1	[	[	X
ejpam-1623	349	2	8	8	NUM
ejpam-1623	349	3	]	]	X
ejpam-1623	349	4	h.	h.	PROPN
ejpam-1623	349	5	petersson	petersson	PROPN
ejpam-1623	349	6	.	.	PUNCT
ejpam-1623	350	1	modulfunktionen	modulfunktionen	PROPN
ejpam-1623	350	2	und	und	VERB
ejpam-1623	350	3	quadratische	quadratische	PROPN
ejpam-1623	350	4	formen	formen	PROPN
ejpam-1623	350	5	,	,	PUNCT
ejpam-1623	350	6	springer	springer	NOUN
ejpam-1623	350	7	-	-	PUNCT
ejpam-1623	350	8	verlag	verlag	PROPN
ejpam-1623	350	9	,	,	PUNCT
ejpam-1623	350	10	berlinheidelberg	berlinheidelberg	PROPN
ejpam-1623	350	11	-	-	PUNCT
ejpam-1623	350	12	new	new	PROPN
ejpam-1623	350	13	york	york	PROPN
ejpam-1623	350	14	,	,	PUNCT
ejpam-1623	350	15	1982	1982	NUM
ejpam-1623	350	16	.	.	PUNCT