id	sid	tid	token	lemma	pos
iajs-450	1	1	q=29	q=29	ADJ
iajs-450	1	2	groups	group	NOUN
iajs-450	1	3	effect	effect	NOUN
iajs-450	1	4	of	of	ADP
iajs-450	1	5	types	type	NOUN
iajs-450	1	6	5d	5d	NUM
iajs-450	1	7	and	and	CCONJ
iajs-450	1	8	5α	5α	NOUN
iajs-450	1	9	on	on	ADP
iajs-450	1	10	the	the	DET
iajs-450	1	11	points	point	NOUN
iajs-450	1	12	of	of	ADP
iajs-450	1	13	projective	projective	ADJ
iajs-450	1	14	plane	plane	NOUN
iajs-450	1	15	over	over	ADP
iajs-450	1	16	31,29,f	31,29,f	NOUN
iajs-450	1	17	=	=	SYM
iajs-450	1	18	qq	qq	PROPN
iajs-450	1	19	emad	emad	PROPN
iajs-450	1	20	b.	b.	PROPN
iajs-450	1	21	a.	a.	PROPN
iajs-450	1	22	k.	k.	PROPN
iajs-450	2	1	al	al	PROPN
iajs-450	2	2	-	-	PUNCT
iajs-450	2	3	zangana	zangana	PROPN
iajs-450	2	4	department	department	PROPN
iajs-450	2	5	of	of	ADP
iajs-450	2	6	mathematics	mathematics	PROPN
iajs-450	2	7	/	/	SYM
iajs-450	2	8	college	college	NOUN
iajs-450	2	9	of	of	ADP
iajs-450	2	10	science	science	PROPN
iajs-450	2	11	/	/	SYM
iajs-450	2	12	al	al	PROPN
iajs-450	2	13	-	-	PUNCT
iajs-450	2	14	mustansiriyah	mustansiriyah	NOUN
iajs-450	2	15	university	university	NOUN
iajs-450	2	16	e	e	NOUN
iajs-450	2	17	-	-	NOUN
iajs-450	2	18	mail	mail	NOUN
iajs-450	2	19	:	:	PUNCT
iajs-450	2	20	emad77_kaka@yahoo.com	emad77_kaka@yahoo.com	X
iajs-450	2	21	abstract	abstract	VERB
iajs-450	2	22	the	the	DET
iajs-450	2	23	purpose	purpose	NOUN
iajs-450	2	24	of	of	ADP
iajs-450	2	25	this	this	DET
iajs-450	2	26	paper	paper	NOUN
iajs-450	2	27	is	be	AUX
iajs-450	2	28	to	to	PART
iajs-450	2	29	find	find	VERB
iajs-450	2	30	an	an	DET
iajs-450	2	31	arc	arc	NOUN
iajs-450	2	32	of	of	ADP
iajs-450	2	33	degree	degree	NOUN
iajs-450	2	34	five	five	NUM
iajs-450	2	35	in	in	ADP
iajs-450	2	36	31,29),(2	31,29),(2	NUM
iajs-450	2	37	,	,	PUNCT
iajs-450	2	38	=	=	NOUN
iajs-450	2	39	qqpg	qqpg	NOUN
iajs-450	2	40	,	,	PUNCT
iajs-450	2	41	with	with	ADP
iajs-450	2	42	stabilizer	stabilizer	NOUN
iajs-450	2	43	group	group	NOUN
iajs-450	2	44	of	of	ADP
iajs-450	2	45	type	type	NOUN
iajs-450	2	46	dihedral	dihedral	ADJ
iajs-450	2	47	group	group	NOUN
iajs-450	2	48	of	of	ADP
iajs-450	2	49	degree	degree	NOUN
iajs-450	2	50	five	five	NUM
iajs-450	2	51	5d	5d	NUM
iajs-450	2	52	and	and	CCONJ
iajs-450	2	53	arcs	arc	NOUN
iajs-450	2	54	of	of	ADP
iajs-450	2	55	degree	degree	NOUN
iajs-450	2	56	six	six	NUM
iajs-450	2	57	and	and	CCONJ
iajs-450	2	58	ten	ten	NUM
iajs-450	2	59	with	with	ADP
iajs-450	2	60	stabilizer	stabilizer	NOUN
iajs-450	2	61	groups	group	NOUN
iajs-450	2	62	of	of	ADP
iajs-450	2	63	type	type	NOUN
iajs-450	2	64	alternating	alternate	VERB
iajs-450	2	65	group	group	NOUN
iajs-450	2	66	of	of	ADP
iajs-450	2	67	degree	degree	NOUN
iajs-450	2	68	five	five	NUM
iajs-450	2	69	5a	5a	NUM
iajs-450	2	70	,	,	PUNCT
iajs-450	2	71	then	then	ADV
iajs-450	2	72	study	study	VERB
iajs-450	2	73	the	the	DET
iajs-450	2	74	effect	effect	NOUN
iajs-450	2	75	of	of	ADP
iajs-450	2	76	5d	5d	NUM
iajs-450	2	77	and	and	CCONJ
iajs-450	2	78	5a	5a	NUM
iajs-450	2	79	on	on	ADP
iajs-450	2	80	the	the	DET
iajs-450	2	81	points	point	NOUN
iajs-450	2	82	of	of	ADP
iajs-450	2	83	projective	projective	ADJ
iajs-450	2	84	plane	plane	NOUN
iajs-450	2	85	.	.	PUNCT
iajs-450	3	1	also	also	ADV
iajs-450	3	2	,	,	PUNCT
iajs-450	3	3	find	find	VERB
iajs-450	3	4	a	a	DET
iajs-450	3	5	pentastigm	pentastigm	NOUN
iajs-450	3	6	which	which	PRON
iajs-450	3	7	has	have	AUX
iajs-450	3	8	collinear	collinear	VERB
iajs-450	3	9	diagonal	diagonal	ADJ
iajs-450	3	10	points	point	NOUN
iajs-450	3	11	.	.	PUNCT
iajs-450	4	1	key	key	ADJ
iajs-450	4	2	words	word	NOUN
iajs-450	4	3	:	:	PUNCT
iajs-450	4	4	projective	projective	ADJ
iajs-450	4	5	plane	plane	NOUN
iajs-450	4	6	,	,	PUNCT
iajs-450	4	7	arc	arc	NOUN
iajs-450	4	8	.	.	PUNCT
iajs-450	5	1	410	410	NUM
iajs-450	5	2	|	|	ADV
iajs-450	5	3	mathematics	mathematic	NOUN
iajs-450	5	4	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	PROPN
iajs-450	5	5	�	�	PROPN
iajs-450	5	6	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	NUM
iajs-450	5	7	:	:	PUNCT
iajs-450	5	8	a@âig@ú‹	a@âig@ú‹	PROPN
iajs-450	6	1	©	©	PROPN
iajs-450	6	2	@ü‹1a26@@öü»€a@i3@‚b«@h2013	@ü‹1a26@@öü»€a@i3@‚b«@h2013	PROPN
iajs-450	6	3	ibn	ibn	PROPN
iajs-450	6	4	al	al	PROPN
iajs-450	6	5	-	-	PUNCT
iajs-450	6	6	haitham	haitham	PROPN
iajs-450	6	7	jour	jour	X
iajs-450	6	8	.	.	PROPN
iajs-450	7	1	for	for	ADP
iajs-450	7	2	pure	pure	ADJ
iajs-450	7	3	&	&	CCONJ
iajs-450	7	4	appl	appl	PROPN
iajs-450	7	5	.	.	PUNCT
iajs-450	8	1	sci	sci	PROPN
iajs-450	8	2	.	.	PUNCT
iajs-450	8	3	vol	vol	NOUN
iajs-450	8	4	.	.	PROPN
iajs-450	9	1	26	26	NUM
iajs-450	9	2	(	(	PUNCT
iajs-450	9	3	3	3	NUM
iajs-450	9	4	)	)	PUNCT
iajs-450	9	5	2013	2013	NUM
iajs-450	9	6	mailto:emad77_kaka@yahoo.com	mailto:emad77_kaka@yahoo.com	NOUN
iajs-450	9	7	introduction	introduction	NOUN
iajs-450	9	8	let	let	VERB
iajs-450	9	9	qf	qf	PROPN
iajs-450	9	10	denotes	denote	VERB
iajs-450	9	11	the	the	DET
iajs-450	9	12	galois	galois	PROPN
iajs-450	9	13	field	field	NOUN
iajs-450	9	14	of	of	ADP
iajs-450	9	15	q	q	NOUN
iajs-450	9	16	elements	element	NOUN
iajs-450	9	17	and	and	CCONJ
iajs-450	9	18	)	)	PUNCT
iajs-450	9	19	,	,	PUNCT
iajs-450	9	20	3	3	NUM
iajs-450	9	21	(	(	PUNCT
iajs-450	9	22	qv	qv	INTJ
iajs-450	9	23	be	be	AUX
iajs-450	9	24	the	the	DET
iajs-450	9	25	vector	vector	NOUN
iajs-450	9	26	space	space	NOUN
iajs-450	9	27	of	of	ADP
iajs-450	9	28	row	row	NOUN
iajs-450	9	29	vectors	vector	NOUN
iajs-450	9	30	of	of	ADP
iajs-450	9	31	length	length	NOUN
iajs-450	9	32	three	three	NUM
iajs-450	9	33	with	with	ADP
iajs-450	9	34	entries	entry	NOUN
iajs-450	9	35	in	in	ADP
iajs-450	9	36	qf	qf	PROPN
iajs-450	9	37	.	.	PUNCT
iajs-450	10	1	let	let	VERB
iajs-450	10	2	)	)	PUNCT
iajs-450	10	3	(	(	PUNCT
iajs-450	10	4	2,qpg	2,qpg	NUM
iajs-450	10	5	be	be	AUX
iajs-450	10	6	the	the	DET
iajs-450	10	7	corresponding	corresponding	ADJ
iajs-450	10	8	projective	projective	ADJ
iajs-450	10	9	plane	plane	NOUN
iajs-450	10	10	.	.	PUNCT
iajs-450	11	1	the	the	DET
iajs-450	11	2	points	point	NOUN
iajs-450	11	3	]	]	X
iajs-450	11	4	,	,	PUNCT
iajs-450	11	5	,	,	PUNCT
iajs-450	11	6	[	[	PUNCT
iajs-450	11	7	210	210	NUM
iajs-450	11	8	xxx	xxx	NOUN
iajs-450	11	9	of	of	ADP
iajs-450	11	10	)	)	PUNCT
iajs-450	11	11	(	(	PUNCT
iajs-450	11	12	2,qpg	2,qpg	NUM
iajs-450	11	13	are	be	AUX
iajs-450	11	14	the	the	DET
iajs-450	11	15	1	1	NUM
iajs-450	11	16	-	-	PUNCT
iajs-450	11	17	dimensional	dimensional	ADJ
iajs-450	11	18	subspaces	subspace	NOUN
iajs-450	11	19	of	of	ADP
iajs-450	11	20	)	)	PUNCT
iajs-450	11	21	,	,	PUNCT
iajs-450	11	22	3	3	NUM
iajs-450	11	23	(	(	PUNCT
iajs-450	11	24	qv	qv	X
iajs-450	11	25	.	.	PUNCT
iajs-450	12	1	subspaces	subspace	NOUN
iajs-450	12	2	of	of	ADP
iajs-450	12	3	dimension	dimension	NOUN
iajs-450	12	4	two	two	NUM
iajs-450	12	5	of	of	ADP
iajs-450	12	6	the	the	DET
iajs-450	12	7	form	form	NOUN
iajs-450	12	8	)	)	PUNCT
iajs-450	12	9	(	(	PUNCT
iajs-450	12	10	v	v	NUM
iajs-450	12	11	210	210	NUM
iajs-450	12	12	cxbxax	cxbxax	NOUN
iajs-450	12	13	+	+	NOUN
iajs-450	12	14	+	+	CCONJ
iajs-450	12	15	are	be	AUX
iajs-450	12	16	called	call	VERB
iajs-450	12	17	lines	line	NOUN
iajs-450	12	18	.	.	PUNCT
iajs-450	13	1	the	the	DET
iajs-450	13	2	number	number	NOUN
iajs-450	13	3	of	of	ADP
iajs-450	13	4	points	point	NOUN
iajs-450	13	5	and	and	CCONJ
iajs-450	13	6	the	the	DET
iajs-450	13	7	number	number	NOUN
iajs-450	13	8	of	of	ADP
iajs-450	13	9	lines	line	NOUN
iajs-450	13	10	in	in	ADP
iajs-450	13	11	)	)	PUNCT
iajs-450	13	12	(	(	PUNCT
iajs-450	13	13	2,qpg	2,qpg	NUM
iajs-450	13	14	is	be	AUX
iajs-450	13	15	12	12	NUM
iajs-450	13	16	+	+	NOUN
iajs-450	13	17	+	+	X
iajs-450	13	18	qq	qq	X
iajs-450	13	19	.	.	PUNCT
iajs-450	14	1	there	there	PRON
iajs-450	14	2	are	be	VERB
iajs-450	14	3	1+q	1+q	NUM
iajs-450	14	4	points	point	NOUN
iajs-450	14	5	on	on	ADP
iajs-450	14	6	every	every	DET
iajs-450	14	7	line	line	NOUN
iajs-450	14	8	and	and	CCONJ
iajs-450	14	9	1+q	1+q	NUM
iajs-450	14	10	lines	line	NOUN
iajs-450	14	11	through	through	ADP
iajs-450	14	12	every	every	DET
iajs-450	14	13	point	point	NOUN
iajs-450	14	14	.	.	PUNCT
iajs-450	15	1	the	the	DET
iajs-450	15	2	lines	line	NOUN
iajs-450	15	3	of	of	ADP
iajs-450	15	4	)	)	PUNCT
iajs-450	15	5	(	(	PUNCT
iajs-450	15	6	2,qpg	2,qpg	NUM
iajs-450	15	7	are	be	AUX
iajs-450	15	8	constructed	construct	VERB
iajs-450	15	9	by	by	ADP
iajs-450	15	10	the	the	DET
iajs-450	15	11	following	following	ADJ
iajs-450	15	12	way	way	NOUN
iajs-450	15	13	:	:	PUNCT
iajs-450	15	14	1221	1221	NUM
iajs-450	15	15	,	,	PUNCT
iajs-450	15	16	,	,	PUNCT
iajs-450	15	17	,	,	PUNCT
iajs-450	16	1	+	+	PROPN
iajs-450	16	2	+	+	ADJ
iajs-450	16	3	qq	qq	ADJ
iajs-450	16	4	iii	iii	NOUN
iajs-450	16	5	ppp	ppp	NOUN
iajs-450	16	6			NUM
iajs-450	16	7	be	be	VERB
iajs-450	16	8	the	the	DET
iajs-450	16	9	points	point	NOUN
iajs-450	16	10	lie	lie	VERB
iajs-450	16	11	on	on	ADP
iajs-450	16	12	the	the	DET
iajs-450	16	13	line	line	NOUN
iajs-450	16	14	)	)	PUNCT
iajs-450	16	15	v	v	NOUN
iajs-450	16	16	(	(	PUNCT
iajs-450	16	17	21	21	NUM
iajs-450	16	18	x=	x=	NOUN
iajs-450	16	19	where	where	SCONJ
iajs-450	16	20	the	the	DET
iajs-450	16	21	index	index	NOUN
iajs-450	16	22	ji	ji	PROPN
iajs-450	16	23	refers	refer	VERB
iajs-450	16	24	to	to	ADP
iajs-450	16	25	the	the	DET
iajs-450	16	26	position	position	NOUN
iajs-450	16	27	of	of	ADP
iajs-450	16	28	the	the	DET
iajs-450	16	29	point	point	NOUN
iajs-450	16	30	jip	jip	VERB
iajs-450	16	31	in	in	ADP
iajs-450	16	32	the	the	DET
iajs-450	16	33	plane	plane	NOUN
iajs-450	16	34	.	.	PUNCT
iajs-450	17	1	fixed	fix	VERB
iajs-450	17	2	the	the	DET
iajs-450	17	3	line	line	NOUN
iajs-450	17	4	)	)	PUNCT
iajs-450	18	1	v	v	NOUN
iajs-450	18	2	(	(	PUNCT
iajs-450	18	3	21	21	NUM
iajs-450	18	4	x=	x=	PROPN
iajs-450	18	5	as	as	ADP
iajs-450	18	6	a	a	DET
iajs-450	18	7	first	first	ADJ
iajs-450	18	8	line	line	NOUN
iajs-450	18	9	.	.	PUNCT
iajs-450	19	1	the	the	DET
iajs-450	19	2	second	second	ADJ
iajs-450	19	3	line	line	NOUN
iajs-450	19	4	is	be	AUX
iajs-450	19	5	constructed	construct	VERB
iajs-450	19	6	by	by	ADP
iajs-450	19	7	adding	add	VERB
iajs-450	19	8	1	1	NUM
iajs-450	19	9	to	to	ADP
iajs-450	19	10	the	the	DET
iajs-450	19	11	index	index	NOUN
iajs-450	19	12	ji	ji	PROPN
iajs-450	19	13	and	and	CCONJ
iajs-450	19	14	so	so	ADV
iajs-450	19	15	on	on	ADV
iajs-450	19	16	.	.	PUNCT
iajs-450	20	1	definition	definition	NOUN
iajs-450	20	2	1.1[1	1.1[1	NUM
iajs-450	20	3	]	]	NOUN
iajs-450	20	4	:	:	PUNCT
iajs-450	20	5	an	an	X
iajs-450	20	6	)	)	PUNCT
iajs-450	20	7	;	;	PUNCT
iajs-450	20	8	(	(	PUNCT
iajs-450	20	9	rn	rn	PROPN
iajs-450	20	10	arc	arc	PROPN
iajs-450	20	11	k	k	PROPN
iajs-450	20	12	or	or	CCONJ
iajs-450	20	13	arc	arc	NOUN
iajs-450	20	14	of	of	ADP
iajs-450	20	15	degree	degree	NOUN
iajs-450	20	16	r	r	NOUN
iajs-450	20	17	in	in	ADP
iajs-450	20	18	)	)	PUNCT
iajs-450	20	19	,	,	PUNCT
iajs-450	20	20	(	(	PUNCT
iajs-450	20	21	qkpg	qkpg	NOUN
iajs-450	20	22	with	with	ADP
iajs-450	20	23	1+≥	1+≥	NUM
iajs-450	20	24	rn	rn	PROPN
iajs-450	20	25	is	be	AUX
iajs-450	20	26	a	a	DET
iajs-450	20	27	set	set	NOUN
iajs-450	20	28	of	of	ADP
iajs-450	20	29	n	n	NUM
iajs-450	20	30	points	point	NOUN
iajs-450	20	31	with	with	ADP
iajs-450	20	32	property	property	NOUN
iajs-450	20	33	that	that	PRON
iajs-450	20	34	every	every	DET
iajs-450	20	35	hyperplane	hyperplane	NOUN
iajs-450	20	36	meets	meet	VERB
iajs-450	20	37	k	k	NOUN
iajs-450	20	38	in	in	ADV
iajs-450	20	39	at	at	ADP
iajs-450	20	40	most	most	ADJ
iajs-450	20	41	r	r	NOUN
iajs-450	20	42	points	point	NOUN
iajs-450	20	43	of	of	ADP
iajs-450	20	44	k	k	PROPN
iajs-450	20	45	and	and	CCONJ
iajs-450	20	46	there	there	PRON
iajs-450	20	47	is	be	VERB
iajs-450	20	48	some	some	DET
iajs-450	20	49	hyperplane	hyperplane	NOUN
iajs-450	20	50	meeting	meeting	NOUN
iajs-450	20	51	k	k	NOUN
iajs-450	20	52	in	in	ADP
iajs-450	20	53	exactly	exactly	ADV
iajs-450	20	54	r	r	NOUN
iajs-450	20	55	points	point	NOUN
iajs-450	20	56	.	.	PUNCT
iajs-450	21	1	an	an	DET
iajs-450	21	2	)	)	PUNCT
iajs-450	21	3	2;(n	2;(n	PROPN
iajs-450	21	4	-arc	-arc	PUNCT
iajs-450	21	5	is	be	AUX
iajs-450	21	6	also	also	ADV
iajs-450	21	7	called	call	VERB
iajs-450	21	8	an	an	DET
iajs-450	21	9	n	n	NOUN
iajs-450	21	10	-arc	-arc	PUNCT
iajs-450	21	11	.	.	PUNCT
iajs-450	22	1	definition	definition	NOUN
iajs-450	22	2	1.2[1	1.2[1	NUM
iajs-450	22	3	]	]	X
iajs-450	22	4	:	:	PUNCT
iajs-450	22	5	an	an	X
iajs-450	22	6	)	)	PUNCT
iajs-450	22	7	;	;	PUNCT
iajs-450	22	8	(	(	PUNCT
iajs-450	22	9	rn	rn	NOUN
iajs-450	22	10	-arc	-arc	PUNCT
iajs-450	22	11	is	be	AUX
iajs-450	22	12	complete	complete	ADJ
iajs-450	22	13	if	if	SCONJ
iajs-450	22	14	it	it	PRON
iajs-450	22	15	is	be	AUX
iajs-450	22	16	maximal	maximal	ADJ
iajs-450	22	17	with	with	ADP
iajs-450	22	18	respect	respect	NOUN
iajs-450	22	19	to	to	ADP
iajs-450	22	20	inclusion	inclusion	NOUN
iajs-450	22	21	;	;	PUNCT
iajs-450	22	22	that	that	ADV
iajs-450	22	23	is	is	ADV
iajs-450	22	24	,	,	PUNCT
iajs-450	22	25	it	it	PRON
iajs-450	22	26	is	be	AUX
iajs-450	22	27	not	not	PART
iajs-450	22	28	contained	contain	VERB
iajs-450	22	29	in	in	ADP
iajs-450	22	30	an	an	PRON
iajs-450	22	31	)	)	PUNCT
iajs-450	22	32	;	;	PUNCT
iajs-450	22	33	1	1	NUM
iajs-450	22	34	(	(	PUNCT
iajs-450	22	35	rn	rn	NOUN
iajs-450	22	36	+	+	NOUN
iajs-450	22	37	-arc	-arc	PUNCT
iajs-450	22	38	.	.	PUNCT
iajs-450	23	1	definition	definition	NOUN
iajs-450	23	2	1.3[1	1.3[1	NUM
iajs-450	23	3	]	]	X
iajs-450	23	4	:	:	PUNCT
iajs-450	23	5	a	a	DET
iajs-450	23	6	line	line	NOUN
iajs-450	23	7	of	of	ADP
iajs-450	23	8	)	)	PUNCT
iajs-450	23	9	,	,	PUNCT
iajs-450	23	10	(	(	PUNCT
iajs-450	23	11	qkpg	qkpg	NOUN
iajs-450	23	12	,	,	PUNCT
iajs-450	23	13	1	1	X
iajs-450	23	14	>	>	X
iajs-450	23	15	k	k	X
iajs-450	23	16	is	be	AUX
iajs-450	23	17	an	an	DET
iajs-450	23	18	i	i	NOUN
iajs-450	23	19	-secant	-secant	NOUN
iajs-450	23	20	of	of	ADP
iajs-450	23	21	an	an	PRON
iajs-450	23	22	)	)	PUNCT
iajs-450	23	23	;	;	PUNCT
iajs-450	23	24	(	(	PUNCT
iajs-450	23	25	rn	rn	PROPN
iajs-450	23	26	arc	arc	PROPN
iajs-450	23	27	k	k	PROPN
iajs-450	23	28	if	if	SCONJ
iajs-450	23	29	ik	ik	PROPN
iajs-450	23	30	=	=	PROPN
iajs-450	23	31			X
iajs-450	23	32	.	.	PUNCT
iajs-450	24	1	a	a	DET
iajs-450	24	2	2	2	NUM
iajs-450	24	3	-secant	-secant	NOUN
iajs-450	24	4	is	be	AUX
iajs-450	24	5	called	call	VERB
iajs-450	24	6	a	a	DET
iajs-450	24	7	bisecant	bisecant	ADJ
iajs-450	24	8	,	,	PUNCT
iajs-450	24	9	a	a	DET
iajs-450	24	10	1	1	NUM
iajs-450	24	11	-	-	PUNCT
iajs-450	24	12	secant	secant	NOUN
iajs-450	24	13	a	a	DET
iajs-450	24	14	unisecant	unisecant	ADJ
iajs-450	24	15	(	(	PUNCT
iajs-450	24	16	tangent	tangent	NOUN
iajs-450	24	17	)	)	PUNCT
iajs-450	24	18	and	and	CCONJ
iajs-450	24	19	a	a	DET
iajs-450	24	20	0	0	NUM
iajs-450	24	21	secant	secant	NOUN
iajs-450	24	22	is	be	AUX
iajs-450	24	23	an	an	DET
iajs-450	24	24	external	external	ADJ
iajs-450	24	25	line	line	NOUN
iajs-450	24	26	.	.	PUNCT
iajs-450	25	1	let	let	VERB
iajs-450	25	2	ic	ic	PRON
iajs-450	25	3	be	be	AUX
iajs-450	25	4	the	the	DET
iajs-450	25	5	number	number	NOUN
iajs-450	25	6	of	of	ADP
iajs-450	25	7	points	point	NOUN
iajs-450	25	8	of	of	ADP
iajs-450	25	9	kqpg	kqpg	NOUN
iajs-450	25	10	\),2	\),2	PROPN
iajs-450	25	11	(	(	PUNCT
iajs-450	25	12	with	with	ADP
iajs-450	25	13	index	index	NOUN
iajs-450	25	14	exactly	exactly	ADV
iajs-450	25	15	i	i	PRON
iajs-450	25	16	.	.	PUNCT
iajs-450	26	1	so	so	ADV
iajs-450	26	2	,	,	PUNCT
iajs-450	26	3	the	the	DET
iajs-450	26	4	parameters	parameter	NOUN
iajs-450	26	5	0c	0c	VERB
iajs-450	26	6	is	be	AUX
iajs-450	26	7	the	the	DET
iajs-450	26	8	number	number	NOUN
iajs-450	26	9	of	of	ADP
iajs-450	26	10	points	point	NOUN
iajs-450	26	11	through	through	ADP
iajs-450	26	12	which	which	PRON
iajs-450	26	13	no	no	DET
iajs-450	26	14	bisecant	bisecant	NOUN
iajs-450	26	15	of	of	ADP
iajs-450	26	16	k	k	PROPN
iajs-450	26	17	passes	pass	NOUN
iajs-450	26	18	and	and	CCONJ
iajs-450	26	19	3c	3c	NUM
iajs-450	26	20	is	be	AUX
iajs-450	26	21	the	the	DET
iajs-450	26	22	number	number	NOUN
iajs-450	26	23	of	of	ADP
iajs-450	26	24	points	point	NOUN
iajs-450	26	25	where	where	SCONJ
iajs-450	26	26	three	three	NUM
iajs-450	26	27	bisecants	bisecant	NOUN
iajs-450	26	28	meet	meet	VERB
iajs-450	26	29	.	.	PUNCT
iajs-450	27	1	theorem	theorem	VERB
iajs-450	27	2	1.4[1	1.4[1	NUM
iajs-450	27	3	]	]	PUNCT
iajs-450	27	4	:	:	PUNCT
iajs-450	27	5	(	(	PUNCT
iajs-450	27	6	the	the	DET
iajs-450	27	7	fundamental	fundamental	ADJ
iajs-450	27	8	theorem	theorem	NOUN
iajs-450	27	9	of	of	ADP
iajs-450	27	10	projective	projective	PROPN
iajs-450	27	11	geometry	geometry	NOUN
iajs-450	27	12	)	)	PUNCT
iajs-450	27	13	if	if	SCONJ
iajs-450	27	14	}	}	PUNCT
iajs-450	27	15	,	,	PUNCT
iajs-450	27	16	,	,	PUNCT
iajs-450	27	17	{	{	PUNCT
iajs-450	27	18	10	10	NUM
iajs-450	27	19	+	+	NOUN
iajs-450	27	20	npp	npp	NOUN
iajs-450	27	21			NUM
iajs-450	27	22	and	and	CCONJ
iajs-450	27	23	}	}	PUNCT
iajs-450	27	24	,	,	PUNCT
iajs-450	27	25	,	,	PUNCT
iajs-450	27	26	{	{	PUNCT
iajs-450	27	27	10	10	NUM
iajs-450	27	28	+	+	ADJ
iajs-450	27	29	′′	′′	PROPN
iajs-450	27	30	npp	npp	NOUN
iajs-450	27	31			NUM
iajs-450	27	32	are	be	AUX
iajs-450	27	33	both	both	PRON
iajs-450	27	34	subsets	subset	NOUN
iajs-450	27	35	of	of	ADP
iajs-450	27	36	)	)	PUNCT
iajs-450	27	37	,	,	PUNCT
iajs-450	27	38	(	(	PUNCT
iajs-450	27	39	qnpg	qnpg	NOUN
iajs-450	27	40	of	of	ADP
iajs-450	27	41	cardinality	cardinality	NOUN
iajs-450	27	42	2+n	2+n	NUM
iajs-450	27	43	such	such	ADJ
iajs-450	27	44	that	that	SCONJ
iajs-450	27	45	no	no	DET
iajs-450	27	46	1+n	1+n	NUM
iajs-450	27	47	points	point	NOUN
iajs-450	27	48	chosen	choose	VERB
iajs-450	27	49	from	from	ADP
iajs-450	27	50	the	the	DET
iajs-450	27	51	same	same	ADJ
iajs-450	27	52	set	set	NOUN
iajs-450	27	53	lie	lie	NOUN
iajs-450	27	54	in	in	ADP
iajs-450	27	55	a	a	DET
iajs-450	27	56	hyperplane	hyperplane	NOUN
iajs-450	27	57	,	,	PUNCT
iajs-450	27	58	then	then	ADV
iajs-450	27	59	there	there	PRON
iajs-450	27	60	exists	exist	VERB
iajs-450	27	61	a	a	DET
iajs-450	27	62	unique	unique	ADJ
iajs-450	27	63	projectivity	projectivity	NOUN
iajs-450	27	64	ℑ	ℑ	PROPN
iajs-450	27	65	such	such	ADJ
iajs-450	27	66	that	that	SCONJ
iajs-450	27	67	ℑ=′	ℑ=′	PROPN
iajs-450	27	68	ii	ii	PROPN
iajs-450	27	69	pp	pp	ADV
iajs-450	27	70	for	for	ADP
iajs-450	27	71	.1,,1,0	.1,,1,0	PUNCT
iajs-450	28	1	+	+	PROPN
iajs-450	28	2	=	=	NOUN
iajs-450	28	3	ni	ni	ADJ
iajs-450	28	4			NUM
iajs-450	28	5	definition	definition	NOUN
iajs-450	28	6	1.5[1	1.5[1	NUM
iajs-450	28	7	]	]	X
iajs-450	28	8	:	:	PUNCT
iajs-450	28	9	let	let	VERB
iajs-450	28	10	]	]	PUNCT
iajs-450	28	11	.1,1,1[u],1,0,0[u],0,1,0[u],0,0,1[u	.1,1,1[u],1,0,0[u],0,1,0[u],0,0,1[u	X
iajs-450	28	12	210	210	NUM
iajs-450	29	1	=	=	X
iajs-450	29	2	=	=	SYM
iajs-450	29	3	=	=	NOUN
iajs-450	29	4	=	=	X
iajs-450	29	5	the	the	DET
iajs-450	29	6	set	set	NOUN
iajs-450	29	7	}	}	PUNCT
iajs-450	29	8	u	u	NOUN
iajs-450	29	9	,	,	PUNCT
iajs-450	29	10	u	u	NOUN
iajs-450	29	11	,	,	PUNCT
iajs-450	29	12	u	u	NOUN
iajs-450	29	13	,	,	PUNCT
iajs-450	29	14	u	u	NOUN
iajs-450	29	15	{	{	PUNCT
iajs-450	29	16	210	210	NUM
iajs-450	29	17	=	=	NOUN
iajs-450	29	18	γq	γq	NOUN
iajs-450	29	19	is	be	AUX
iajs-450	29	20	called	call	VERB
iajs-450	29	21	the	the	DET
iajs-450	29	22	standard	standard	ADJ
iajs-450	29	23	frame	frame	NOUN
iajs-450	29	24	.	.	PUNCT
iajs-450	30	1	definition	definition	NOUN
iajs-450	30	2	1.6[3	1.6[3	NUM
iajs-450	30	3	]	]	X
iajs-450	30	4	:	:	PUNCT
iajs-450	30	5	let	let	VERB
iajs-450	30	6	1χ	1χ	NOUN
iajs-450	30	7	and	and	CCONJ
iajs-450	30	8	2χ	2χ	NOUN
iajs-450	30	9	be	be	AUX
iajs-450	30	10	two	two	NUM
iajs-450	30	11	projective	projective	ADJ
iajs-450	30	12	spaces	space	NOUN
iajs-450	30	13	of	of	ADP
iajs-450	30	14	dimension	dimension	NOUN
iajs-450	30	15	n	n	NOUN
iajs-450	30	16	.	.	PUNCT
iajs-450	31	1	a	a	DET
iajs-450	31	2	projectivity	projectivity	NOUN
iajs-450	31	3	21	21	NUM
iajs-450	31	4	:	:	PUNCT
iajs-450	31	5	χχ	χχ	NOUN
iajs-450	31	6	→ℑ	→ℑ	NOUN
iajs-450	31	7	is	be	AUX
iajs-450	31	8	a	a	DET
iajs-450	31	9	bijection	bijection	NOUN
iajs-450	31	10	given	give	VERB
iajs-450	31	11	by	by	ADP
iajs-450	31	12	a	a	DET
iajs-450	31	13	non	non	ADJ
iajs-450	31	14	-	-	ADJ
iajs-450	31	15	singular	singular	ADJ
iajs-450	31	16	1)(1	1)(1	NUM
iajs-450	31	17	)	)	PUNCT
iajs-450	31	18	(	(	PUNCT
iajs-450	31	19	+	+	NOUN
iajs-450	31	20	×+	×+	PROPN
iajs-450	31	21	nn	nn	X
iajs-450	31	22	matrix	matrix	NOUN
iajs-450	32	1	a	a	DET
iajs-450	32	2	such	such	ADJ
iajs-450	32	3	that	that	DET
iajs-450	32	4	ℑ=′	ℑ=′	PROPN
iajs-450	32	5	)	)	PUNCT
iajs-450	32	6	p	p	NOUN
iajs-450	32	7	(	(	PUNCT
iajs-450	32	8	)	)	PUNCT
iajs-450	32	9	p	p	NOUN
iajs-450	32	10	(	(	PUNCT
iajs-450	32	11	xx	xx	PRON
iajs-450	32	12	if	if	SCONJ
iajs-450	32	13	and	and	CCONJ
iajs-450	32	14	only	only	ADV
iajs-450	32	15	if	if	SCONJ
iajs-450	32	16	xa	xa	PROPN
iajs-450	32	17	.	.	PUNCT
iajs-450	32	18	xt	xt	PUNCT
iajs-450	33	1	=	=	NOUN
iajs-450	33	2	′	′	NUM
iajs-450	33	3	,	,	PUNCT
iajs-450	33	4	where	where	SCONJ
iajs-450	33	5	{	{	PUNCT
iajs-450	33	6	0}.\f	0}.\f	NUM
iajs-450	33	7	qt∈	qt∈	NOUN
iajs-450	33	8	two	two	NUM
iajs-450	33	9	projective	projective	ADJ
iajs-450	33	10	spaces	space	VERB
iajs-450	33	11	1χ	1χ	NOUN
iajs-450	33	12	and	and	CCONJ
iajs-450	33	13	2χ	2χ	NOUN
iajs-450	33	14	are	be	AUX
iajs-450	33	15	projectively	projectively	ADV
iajs-450	33	16	equivalent	equivalent	ADJ
iajs-450	33	17	if	if	SCONJ
iajs-450	33	18	there	there	PRON
iajs-450	33	19	is	be	VERB
iajs-450	33	20	a	a	DET
iajs-450	33	21	projectivity	projectivity	NOUN
iajs-450	33	22	between	between	ADP
iajs-450	33	23	them	they	PRON
iajs-450	33	24	.	.	PUNCT
iajs-450	34	1	definition	definition	NOUN
iajs-450	34	2	1.7[1	1.7[1	NUM
iajs-450	34	3	]	]	X
iajs-450	34	4	:	:	PUNCT
iajs-450	34	5	a	a	DET
iajs-450	34	6	point	point	NOUN
iajs-450	34	7	of	of	ADP
iajs-450	34	8	index	index	NOUN
iajs-450	34	9	three	three	NUM
iajs-450	34	10	is	be	AUX
iajs-450	34	11	called	call	VERB
iajs-450	34	12	a	a	DET
iajs-450	34	13	brianchon	brianchon	NOUN
iajs-450	34	14	point	point	NOUN
iajs-450	34	15	or	or	CCONJ
iajs-450	34	16	b	b	NOUN
iajs-450	34	17	-point	-point	NOUN
iajs-450	34	18	for	for	ADP
iajs-450	34	19	short	short	ADJ
iajs-450	34	20	.	.	PUNCT
iajs-450	35	1	write	write	VERB
iajs-450	35	2	nmlkji	nmlkji	NOUN
iajs-450	35	3	ppppppmnklj	ppppppmnklj	NOUN
iajs-450	35	4	=⋅⋅	=⋅⋅	NOUN
iajs-450	35	5	for	for	ADP
iajs-450	35	6	b	b	PROPN
iajs-450	35	7	-point	-point	PROPN
iajs-450	35	8	.	.	PUNCT
iajs-450	36	1	411	411	NUM
iajs-450	37	1	|	|	ADV
iajs-450	37	2	mathematics	mathematic	NOUN
iajs-450	37	3	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	PROPN
iajs-450	37	4	�	�	PROPN
iajs-450	37	5	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	NUM
iajs-450	37	6	:	:	PUNCT
iajs-450	37	7	a@âig@ú‹	a@âig@ú‹	PROPN
iajs-450	38	1	©	©	PROPN
iajs-450	38	2	@ü‹1a26@@öü»€a@i3@‚b«@h2013	@ü‹1a26@@öü»€a@i3@‚b«@h2013	PROPN
iajs-450	38	3	ibn	ibn	PROPN
iajs-450	38	4	al	al	PROPN
iajs-450	38	5	-	-	PUNCT
iajs-450	38	6	haitham	haitham	PROPN
iajs-450	38	7	jour	jour	X
iajs-450	38	8	.	.	PROPN
iajs-450	39	1	for	for	ADP
iajs-450	39	2	pure	pure	ADJ
iajs-450	39	3	&	&	CCONJ
iajs-450	39	4	appl	appl	PROPN
iajs-450	39	5	.	.	PUNCT
iajs-450	40	1	sci	sci	PROPN
iajs-450	40	2	.	.	PUNCT
iajs-450	40	3	vol	vol	NOUN
iajs-450	40	4	.	.	PROPN
iajs-450	41	1	26	26	NUM
iajs-450	41	2	(	(	PUNCT
iajs-450	41	3	3	3	NUM
iajs-450	41	4	)	)	PUNCT
iajs-450	41	5	2013	2013	NUM
iajs-450	41	6	remark	remark	NOUN
iajs-450	41	7	1.8[1	1.8[1	NUM
iajs-450	41	8	]	]	PUNCT
iajs-450	41	9	:	:	PUNCT
iajs-450	41	10	(	(	PUNCT
iajs-450	41	11	i	i	NOUN
iajs-450	41	12	)	)	PUNCT
iajs-450	41	13	an	an	PRON
iajs-450	41	14	)	)	PUNCT
iajs-450	41	15	;	;	PUNCT
iajs-450	41	16	1	1	NUM
iajs-450	41	17	(	(	PUNCT
iajs-450	41	18	rn	rn	NOUN
iajs-450	41	19	+	+	NOUN
iajs-450	41	20	arc	arc	NOUN
iajs-450	41	21	is	be	AUX
iajs-450	41	22	constructing	construct	VERB
iajs-450	41	23	from	from	ADP
iajs-450	41	24	an	an	PRON
iajs-450	41	25	)	)	PUNCT
iajs-450	41	26	;	;	PUNCT
iajs-450	41	27	(	(	PUNCT
iajs-450	41	28	rn	rn	NOUN
iajs-450	41	29	-arc	-arc	PUNCT
iajs-450	41	30	,	,	PUNCT
iajs-450	41	31	k	k	X
iajs-450	41	32	by	by	ADP
iajs-450	41	33	adding	add	VERB
iajs-450	41	34	one	one	NUM
iajs-450	41	35	point	point	NOUN
iajs-450	41	36	of	of	ADP
iajs-450	41	37	index	index	NOUN
iajs-450	41	38	zero	zero	NUM
iajs-450	41	39	to	to	ADP
iajs-450	41	40	k	k	PROPN
iajs-450	41	41	.	.	PUNCT
iajs-450	42	1	(	(	PUNCT
iajs-450	42	2	ii	ii	NOUN
iajs-450	42	3	)	)	PUNCT
iajs-450	42	4	two	two	NUM
iajs-450	42	5	arcs	arc	NOUN
iajs-450	43	1	k	k	X
iajs-450	43	2	and	and	CCONJ
iajs-450	43	3	k	k	PROPN
iajs-450	43	4	′	′	NOUN
iajs-450	43	5	are	be	AUX
iajs-450	43	6	projectively	projectively	ADV
iajs-450	43	7	equivalent	equivalent	ADJ
iajs-450	43	8	if	if	SCONJ
iajs-450	43	9	there	there	PRON
iajs-450	43	10	is	be	VERB
iajs-450	43	11	a	a	DET
iajs-450	43	12	projectivity	projectivity	NOUN
iajs-450	43	13	between	between	ADP
iajs-450	43	14	them	they	PRON
iajs-450	43	15	.	.	PUNCT
iajs-450	44	1	(	(	PUNCT
iajs-450	44	2	ii	ii	NOUN
iajs-450	44	3	)	)	PUNCT
iajs-450	44	4	with	with	ADP
iajs-450	44	5	parameters	parameter	NOUN
iajs-450	44	6	0c	0c	VERB
iajs-450	44	7	,	,	PUNCT
iajs-450	44	8	k	k	PROPN
iajs-450	44	9	is	be	AUX
iajs-450	44	10	complete	complete	ADJ
iajs-450	44	11	if	if	SCONJ
iajs-450	44	12	and	and	CCONJ
iajs-450	44	13	only	only	ADV
iajs-450	44	14	if	if	SCONJ
iajs-450	44	15	00	00	NUM
iajs-450	44	16	=	=	SYM
iajs-450	44	17	c	c	NOUN
iajs-450	44	18	.	.	PUNCT
iajs-450	45	1	some	some	DET
iajs-450	45	2	groups	group	NOUN
iajs-450	45	3	that	that	PRON
iajs-450	45	4	occur	occur	VERB
iajs-450	45	5	in	in	ADP
iajs-450	45	6	this	this	DET
iajs-450	45	7	paper	paper	NOUN
iajs-450	45	8	are	be	AUX
iajs-450	45	9	listed	list	VERB
iajs-450	45	10	below	below	ADV
iajs-450	45	11	.	.	PUNCT
iajs-450	46	1	for	for	SCONJ
iajs-450	46	2	more	more	ADJ
iajs-450	46	3	details	detail	NOUN
iajs-450	46	4	see	see	VERB
iajs-450	46	5	[	[	X
iajs-450	46	6	2	2	NUM
iajs-450	46	7	]	]	PUNCT
iajs-450	46	8	.	.	PUNCT
iajs-450	47	1	nc	nc	PROPN
iajs-450	47	2	=	=	PROPN
iajs-450	47	3	cyclic	cyclic	PROPN
iajs-450	47	4	group	group	NOUN
iajs-450	47	5	of	of	ADP
iajs-450	47	6	order	order	NOUN
iajs-450	47	7	n	n	NOUN
iajs-450	47	8	;	;	PUNCT
iajs-450	47	9	ns	ns	NUM
iajs-450	47	10	=	=	PUNCT
iajs-450	47	11	symmetric	symmetric	ADJ
iajs-450	47	12	group	group	NOUN
iajs-450	47	13	of	of	ADP
iajs-450	47	14	degree	degree	NOUN
iajs-450	47	15	n	n	NOUN
iajs-450	47	16	;	;	PUNCT
iajs-450	47	17	nα	nα	PROPN
iajs-450	47	18	=	=	VERB
iajs-450	47	19	alternating	alternate	VERB
iajs-450	47	20	group	group	NOUN
iajs-450	47	21	of	of	ADP
iajs-450	47	22	degree	degree	NOUN
iajs-450	47	23	n	n	NOUN
iajs-450	47	24	;	;	PUNCT
iajs-450	47	25	nd	nd	NOUN
iajs-450	47	26	=	=	SYM
iajs-450	47	27	dihedral	dihedral	ADJ
iajs-450	47	28	group	group	NOUN
iajs-450	47	29	of	of	ADP
iajs-450	47	30	order	order	NOUN
iajs-450	47	31	n2	n2	NOUN
iajs-450	47	32	1	1	NUM
iajs-450	47	33	)	)	PUNCT
iajs-450	47	34	(	(	PUNCT
iajs-450	47	35	,	,	PUNCT
iajs-450	47	36	22	22	NUM
iajs-450	48	1	=	=	SYM
iajs-450	48	2	=	=	SYM
iajs-450	48	3	=	=	SYM
iajs-450	48	4	=	=	NOUN
iajs-450	48	5	rssrsr	rssrsr	VERB
iajs-450	48	6	n	n	ADV
iajs-450	48	7	.	.	PUNCT
iajs-450	49	1	during	during	ADP
iajs-450	49	2	this	this	DET
iajs-450	49	3	research	research	NOUN
iajs-450	49	4	the	the	DET
iajs-450	49	5	primitive	primitive	ADJ
iajs-450	49	6	element	element	NOUN
iajs-450	49	7	2	2	NUM
iajs-450	49	8	=	=	SYM
iajs-450	49	9	υ	υ	NOUN
iajs-450	49	10	in	in	ADP
iajs-450	49	11	29f	29f	NOUN
iajs-450	49	12	and	and	CCONJ
iajs-450	49	13	3	3	NUM
iajs-450	49	14	=	=	SYM
iajs-450	49	15	ω	ω	PROPN
iajs-450	49	16	in	in	ADP
iajs-450	49	17	31f	31f	PROPN
iajs-450	49	18	are	be	AUX
iajs-450	49	19	used	use	VERB
iajs-450	49	20	.	.	PUNCT
iajs-450	50	1	hirschfeld	hirschfeld	PROPN
iajs-450	50	2	stated	state	VERB
iajs-450	50	3	in	in	ADP
iajs-450	50	4	[	[	X
iajs-450	50	5	1	1	X
iajs-450	50	6	]	]	PUNCT
iajs-450	50	7	that	that	SCONJ
iajs-450	50	8	in	in	ADP
iajs-450	50	9	)	)	PUNCT
iajs-450	50	10	9(2,pg	9(2,pg	X
iajs-450	50	11	there	there	PRON
iajs-450	50	12	is	be	VERB
iajs-450	50	13	a	a	DET
iajs-450	50	14	unique	unique	ADJ
iajs-450	50	15	arc	arc	NOUN
iajs-450	50	16	of	of	ADP
iajs-450	50	17	degree	degree	NOUN
iajs-450	50	18	five	five	NUM
iajs-450	50	19	with	with	ADP
iajs-450	50	20	stabilizer	stabilizer	NOUN
iajs-450	50	21	group	group	NOUN
iajs-450	50	22	isomorphic	isomorphic	ADJ
iajs-450	50	23	to	to	ADP
iajs-450	50	24	a	a	DET
iajs-450	50	25	dihedral	dihedral	ADJ
iajs-450	50	26	group	group	NOUN
iajs-450	50	27	of	of	ADP
iajs-450	50	28	degree	degree	NOUN
iajs-450	50	29	five	five	NUM
iajs-450	50	30	5d	5d	NUM
iajs-450	50	31	.	.	PUNCT
iajs-450	51	1	also	also	ADV
iajs-450	51	2	,	,	PUNCT
iajs-450	51	3	there	there	PRON
iajs-450	51	4	is	be	VERB
iajs-450	51	5	a	a	DET
iajs-450	51	6	unique	unique	ADJ
iajs-450	51	7	arc	arc	NOUN
iajs-450	51	8	of	of	ADP
iajs-450	51	9	degree	degree	NOUN
iajs-450	51	10	six	six	NUM
iajs-450	51	11	with	with	ADP
iajs-450	51	12	stabilizer	stabilizer	NOUN
iajs-450	51	13	group	group	NOUN
iajs-450	51	14	isomorphic	isomorphic	ADJ
iajs-450	51	15	to	to	ADP
iajs-450	51	16	alternating	alternate	VERB
iajs-450	51	17	group	group	NOUN
iajs-450	51	18	of	of	ADP
iajs-450	51	19	degree	degree	NOUN
iajs-450	51	20	five	five	NUM
iajs-450	51	21	5a	5a	NUM
iajs-450	51	22	.	.	PUNCT
iajs-450	52	1	in	in	ADP
iajs-450	52	2	1984	1984	NUM
iajs-450	52	3	,	,	PUNCT
iajs-450	52	4	sadeh	sadeh	VERB
iajs-450	52	5	[	[	X
iajs-450	52	6	3	3	NUM
iajs-450	52	7	]	]	PUNCT
iajs-450	52	8	and	and	CCONJ
iajs-450	52	9	in	in	ADP
iajs-450	52	10	2011	2011	NUM
iajs-450	52	11	al	al	PROPN
iajs-450	52	12	-	-	PUNCT
iajs-450	52	13	zangana	zangana	PROPN
iajs-450	53	1	[	[	X
iajs-450	53	2	4	4	X
iajs-450	53	3	]	]	PUNCT
iajs-450	53	4	proved	prove	VERB
iajs-450	53	5	the	the	DET
iajs-450	53	6	same	same	ADJ
iajs-450	53	7	results	result	NOUN
iajs-450	53	8	in	in	ADP
iajs-450	53	9	)	)	PUNCT
iajs-450	53	10	11,(2pg	11,(2pg	PROPN
iajs-450	53	11	and	and	CCONJ
iajs-450	53	12	)	)	PUNCT
iajs-450	53	13	19,(2pg	19,(2pg	NUM
iajs-450	53	14	also	also	ADV
iajs-450	53	15	they	they	PRON
iajs-450	53	16	proved	prove	VERB
iajs-450	53	17	that	that	SCONJ
iajs-450	53	18	the	the	DET
iajs-450	53	19	same	same	ADJ
iajs-450	53	20	arc	arc	NOUN
iajs-450	53	21	of	of	ADP
iajs-450	53	22	degree	degree	NOUN
iajs-450	53	23	six	six	NUM
iajs-450	53	24	has	have	VERB
iajs-450	53	25	ten	ten	NUM
iajs-450	53	26	b	b	NUM
iajs-450	53	27	-points	-point	NOUN
iajs-450	53	28	which	which	PRON
iajs-450	53	29	is	be	AUX
iajs-450	53	30	an	an	DET
iajs-450	53	31	arc	arc	NOUN
iajs-450	53	32	of	of	ADP
iajs-450	53	33	degree	degree	NOUN
iajs-450	53	34	ten	ten	NUM
iajs-450	53	35	with	with	ADP
iajs-450	53	36	stabilizer	stabilizer	NOUN
iajs-450	53	37	group	group	NOUN
iajs-450	53	38	of	of	ADP
iajs-450	53	39	type	type	NOUN
iajs-450	53	40	5a	5a	NUM
iajs-450	53	41	.	.	PUNCT
iajs-450	54	1	in	in	ADP
iajs-450	54	2	1995	1995	NUM
iajs-450	54	3	,	,	PUNCT
iajs-450	54	4	storm	storm	NOUN
iajs-450	54	5	and	and	CCONJ
iajs-450	54	6	maldeghem	maldeghem	PRON
iajs-450	55	1	[	[	X
iajs-450	55	2	5	5	NUM
iajs-450	55	3	]	]	PUNCT
iajs-450	55	4	proved	prove	VERB
iajs-450	55	5	in	in	ADP
iajs-450	55	6	)	)	PUNCT
iajs-450	55	7	(	(	PUNCT
iajs-450	55	8	2,qpg	2,qpg	NUM
iajs-450	55	9	when	when	SCONJ
iajs-450	55	10	1±≡q	1±≡q	NUM
iajs-450	55	11	)	)	PUNCT
iajs-450	55	12	10mod	10mod	NOUN
iajs-450	55	13	(	(	PUNCT
iajs-450	55	14	they	they	PRON
iajs-450	55	15	proved	prove	VERB
iajs-450	55	16	theoretically	theoretically	ADV
iajs-450	55	17	these	these	DET
iajs-450	55	18	results	result	NOUN
iajs-450	55	19	.	.	PUNCT
iajs-450	56	1	according	accord	VERB
iajs-450	56	2	to	to	ADP
iajs-450	56	3	these	these	DET
iajs-450	56	4	previous	previous	ADJ
iajs-450	56	5	results	result	NOUN
iajs-450	56	6	,	,	PUNCT
iajs-450	56	7	the	the	DET
iajs-450	56	8	following	follow	VERB
iajs-450	56	9	question	question	NOUN
iajs-450	56	10	arises	arise	VERB
iajs-450	56	11	:	:	PUNCT
iajs-450	56	12	1what	1what	PRON
iajs-450	56	13	is	be	AUX
iajs-450	56	14	the	the	DET
iajs-450	56	15	arc	arc	NOUN
iajs-450	56	16	of	of	ADP
iajs-450	56	17	degree	degree	NOUN
iajs-450	56	18	five	five	NUM
iajs-450	56	19	which	which	PRON
iajs-450	56	20	has	have	VERB
iajs-450	56	21	stabilizer	stabilizer	NOUN
iajs-450	56	22	group	group	NOUN
iajs-450	56	23	of	of	ADP
iajs-450	56	24	type	type	NOUN
iajs-450	56	25	dihedral	dihedral	ADJ
iajs-450	56	26	group	group	NOUN
iajs-450	56	27	of	of	ADP
iajs-450	56	28	degree	degree	NOUN
iajs-450	56	29	five	five	NUM
iajs-450	56	30	5d	5d	NUM
iajs-450	56	31	and	and	CCONJ
iajs-450	56	32	what	what	PRON
iajs-450	56	33	is	be	AUX
iajs-450	56	34	the	the	DET
iajs-450	56	35	effect	effect	NOUN
iajs-450	56	36	of	of	ADP
iajs-450	56	37	5d	5d	NUM
iajs-450	56	38	on	on	ADP
iajs-450	56	39	the	the	DET
iajs-450	56	40	points	point	NOUN
iajs-450	56	41	of	of	ADP
iajs-450	56	42	projective	projective	ADJ
iajs-450	56	43	plane	plane	NOUN
iajs-450	56	44	.	.	PUNCT
iajs-450	57	1	2what	2what	NUM
iajs-450	57	2	is	be	AUX
iajs-450	57	3	the	the	DET
iajs-450	57	4	pentastigm	pentastigm	NOUN
iajs-450	57	5	which	which	PRON
iajs-450	57	6	has	have	AUX
iajs-450	57	7	collinear	collinear	VERB
iajs-450	57	8	diagonal	diagonal	ADJ
iajs-450	57	9	points	point	NOUN
iajs-450	57	10	.	.	PUNCT
iajs-450	58	1	3what	3what	NUM
iajs-450	58	2	is	be	AUX
iajs-450	58	3	the	the	DET
iajs-450	58	4	arcs	arc	NOUN
iajs-450	58	5	of	of	ADP
iajs-450	58	6	degree	degree	NOUN
iajs-450	58	7	six	six	NUM
iajs-450	58	8	and	and	CCONJ
iajs-450	58	9	ten	ten	NUM
iajs-450	58	10	which	which	PRON
iajs-450	58	11	have	have	VERB
iajs-450	58	12	stabilizer	stabilizer	NOUN
iajs-450	58	13	groups	group	NOUN
iajs-450	58	14	of	of	ADP
iajs-450	58	15	type	type	NOUN
iajs-450	58	16	alternating	alternate	VERB
iajs-450	58	17	group	group	NOUN
iajs-450	58	18	of	of	ADP
iajs-450	58	19	degree	degree	NOUN
iajs-450	58	20	five	five	NUM
iajs-450	58	21	5a	5a	NUM
iajs-450	58	22	and	and	CCONJ
iajs-450	58	23	what	what	PRON
iajs-450	58	24	is	be	AUX
iajs-450	58	25	the	the	DET
iajs-450	58	26	effect	effect	NOUN
iajs-450	58	27	of	of	ADP
iajs-450	58	28	5a	5a	NUM
iajs-450	58	29	on	on	ADP
iajs-450	58	30	the	the	DET
iajs-450	58	31	points	point	NOUN
iajs-450	58	32	of	of	ADP
iajs-450	58	33	projective	projective	ADJ
iajs-450	58	34	plane	plane	NOUN
iajs-450	58	35	.	.	PUNCT
iajs-450	59	1	1inequivalent	1inequivalent	NUM
iajs-450	59	2	arcs	arc	NOUN
iajs-450	59	3	of	of	ADP
iajs-450	59	4	degree	degree	NOUN
iajs-450	59	5	five	five	NUM
iajs-450	59	6	from	from	ADP
iajs-450	59	7	the	the	DET
iajs-450	59	8	fundamental	fundamental	ADJ
iajs-450	59	9	theorem	theorem	NOUN
iajs-450	59	10	of	of	ADP
iajs-450	59	11	projective	projective	PROPN
iajs-450	59	12	geometry	geometry	NOUN
iajs-450	59	13	,	,	PUNCT
iajs-450	59	14	there	there	PRON
iajs-450	59	15	is	be	VERB
iajs-450	59	16	a	a	DET
iajs-450	59	17	unique	unique	ADJ
iajs-450	59	18	inequivalent	inequivalent	NOUN
iajs-450	59	19	arc	arc	NOUN
iajs-450	59	20	of	of	ADP
iajs-450	59	21	degree	degree	NOUN
iajs-450	59	22	four	four	NUM
iajs-450	59	23	in	in	ADP
iajs-450	59	24	the	the	DET
iajs-450	59	25	projective	projective	ADJ
iajs-450	59	26	plane	plane	NOUN
iajs-450	59	27	with	with	ADP
iajs-450	59	28	stabilizer	stabilizer	NOUN
iajs-450	59	29	group	group	NOUN
iajs-450	59	30	isomorphic	isomorphic	ADJ
iajs-450	59	31	to	to	ADP
iajs-450	59	32	4s	4s	NUM
iajs-450	59	33	.	.	PUNCT
iajs-450	60	1	so	so	ADV
iajs-450	60	2	,	,	PUNCT
iajs-450	60	3	the	the	DET
iajs-450	60	4	standard	standard	ADJ
iajs-450	60	5	frame	frame	NOUN
iajs-450	60	6	}	}	PUNCT
iajs-450	60	7	u	u	NOUN
iajs-450	60	8	,	,	PUNCT
iajs-450	60	9	u	u	NOUN
iajs-450	60	10	,	,	PUNCT
iajs-450	60	11	u	u	NOUN
iajs-450	60	12	,	,	PUNCT
iajs-450	60	13	u	u	NOUN
iajs-450	60	14	{	{	PUNCT
iajs-450	60	15	210	210	NUM
iajs-450	60	16	=	=	NOUN
iajs-450	60	17	γq	γq	AUX
iajs-450	60	18	formed	form	VERB
iajs-450	60	19	a	a	DET
iajs-450	60	20	projectively	projectively	ADV
iajs-450	60	21	unique	unique	ADJ
iajs-450	60	22	4	4	NUM
iajs-450	60	23	-arc	-arc	PUNCT
iajs-450	60	24	in	in	ADP
iajs-450	60	25	the	the	DET
iajs-450	60	26	projective	projective	ADJ
iajs-450	60	27	plane	plane	NOUN
iajs-450	60	28	.	.	PUNCT
iajs-450	61	1	an	an	DET
iajs-450	61	2	arc	arc	NOUN
iajs-450	61	3	of	of	ADP
iajs-450	61	4	degree	degree	NOUN
iajs-450	61	5	five	five	NUM
iajs-450	61	6	is	be	AUX
iajs-450	61	7	constructed	construct	VERB
iajs-450	61	8	by	by	ADP
iajs-450	61	9	adding	add	VERB
iajs-450	61	10	one	one	NUM
iajs-450	61	11	point	point	NOUN
iajs-450	61	12	of	of	ADP
iajs-450	61	13	index	index	NOUN
iajs-450	61	14	zero	zero	NUM
iajs-450	61	15	to	to	ADP
iajs-450	61	16	qγ	qγ	PROPN
iajs-450	61	17	.	.	PUNCT
iajs-450	62	1	and	and	CCONJ
iajs-450	62	2	to	to	PART
iajs-450	62	3	find	find	VERB
iajs-450	62	4	equivalents	equivalent	NOUN
iajs-450	62	5	arcs	arc	NOUN
iajs-450	62	6	,	,	PUNCT
iajs-450	62	7	a	a	DET
iajs-450	62	8	mathematical	mathematical	ADJ
iajs-450	62	9	programming	programming	NOUN
iajs-450	62	10	language	language	NOUN
iajs-450	62	11	gap	gap	NOUN
iajs-450	62	12	has	have	AUX
iajs-450	62	13	been	be	AUX
iajs-450	62	14	used	use	VERB
iajs-450	62	15	[	[	PUNCT
iajs-450	62	16	6	6	NUM
iajs-450	62	17	]	]	PUNCT
iajs-450	62	18	.	.	PUNCT
iajs-450	63	1	theorem	theorem	VERB
iajs-450	63	2	2.1	2.1	NUM
iajs-450	63	3	:	:	PUNCT
iajs-450	63	4	(	(	PUNCT
iajs-450	63	5	i	i	NOUN
iajs-450	63	6	)	)	PUNCT
iajs-450	63	7	there	there	PRON
iajs-450	63	8	are	be	VERB
iajs-450	63	9	ten	ten	NUM
iajs-450	63	10	inequivalent	inequivalent	ADJ
iajs-450	63	11	5	5	NUM
iajs-450	63	12	-	-	PUNCT
iajs-450	63	13	arcs	arcs	NOUN
iajs-450	63	14	through	through	ADP
iajs-450	63	15	the	the	DET
iajs-450	63	16	frame	frame	NOUN
iajs-450	63	17	29γ	29γ	NUM
iajs-450	63	18	in	in	ADP
iajs-450	63	19	)	)	PUNCT
iajs-450	63	20	29,2(pg	29,2(pg	NUM
iajs-450	63	21	with	with	ADP
iajs-450	63	22	parameters	parameter	NOUN
iajs-450	63	23	]	]	PUNCT
iajs-450	63	24	15,250,601	15,250,601	NUM
iajs-450	63	25	[	[	X
iajs-450	63	26	]	]	X
iajs-450	63	27	,	,	PUNCT
iajs-450	63	28	,	,	PUNCT
iajs-450	63	29	[	[	PUNCT
iajs-450	63	30	210	210	NUM
iajs-450	63	31	=	=	NOUN
iajs-450	63	32	ccc	ccc	PROPN
iajs-450	63	33	as	as	SCONJ
iajs-450	63	34	summarized	summarize	VERB
iajs-450	63	35	in	in	ADP
iajs-450	63	36	table	table	NOUN
iajs-450	63	37	1	1	NUM
iajs-450	63	38	.	.	PUNCT
iajs-450	64	1	(	(	PUNCT
iajs-450	64	2	ii	ii	NOUN
iajs-450	64	3	)	)	PUNCT
iajs-450	64	4	there	there	PRON
iajs-450	64	5	are	be	VERB
iajs-450	64	6	eleven	eleven	NUM
iajs-450	64	7	inequivalent	inequivalent	PROPN
iajs-450	64	8	5	5	NUM
iajs-450	64	9	-	-	PUNCT
iajs-450	64	10	arcs	arcs	NOUN
iajs-450	64	11	through	through	ADP
iajs-450	64	12	the	the	DET
iajs-450	64	13	frame	frame	NOUN
iajs-450	64	14	31γ	31γ	NOUN
iajs-450	64	15	in	in	ADP
iajs-450	64	16	)	)	PUNCT
iajs-450	64	17	31,2(pg	31,2(pg	NUM
iajs-450	64	18	with	with	ADP
iajs-450	64	19	parameters	parameter	NOUN
iajs-450	64	20	]	]	PUNCT
iajs-450	64	21	15,270,703	15,270,703	NUM
iajs-450	64	22	[	[	X
iajs-450	64	23	]	]	X
iajs-450	64	24	,	,	PUNCT
iajs-450	64	25	,	,	PUNCT
iajs-450	64	26	[	[	PUNCT
iajs-450	64	27	210	210	NUM
iajs-450	64	28	=	=	NOUN
iajs-450	64	29	ccc	ccc	PROPN
iajs-450	64	30	as	as	SCONJ
iajs-450	64	31	summarized	summarize	VERB
iajs-450	64	32	in	in	ADP
iajs-450	64	33	table	table	NOUN
iajs-450	64	34	2	2	NUM
iajs-450	64	35	.	.	PUNCT
iajs-450	64	36	table	table	NOUN
iajs-450	64	37	1	1	NUM
iajs-450	64	38	:	:	PUNCT
iajs-450	64	39	inequivalent	inequivalent	NOUN
iajs-450	64	40	5	5	NUM
iajs-450	64	41	-	-	PUNCT
iajs-450	64	42	arc	arc	NOUN
iajs-450	64	43	and	and	CCONJ
iajs-450	64	44	their	their	PRON
iajs-450	64	45	stabilizer	stabilizer	NOUN
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iajs-450	80	11	of	of	ADP
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iajs-450	81	17	�	�	PROPN
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iajs-450	87	3			VERB
iajs-450	87	4			NOUN
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iajs-450	91	3	,	,	PUNCT
iajs-450	91	4	,	,	PUNCT
iajs-450	91	5	p(,u	p(,u	NOUN
iajs-450	91	6	,	,	PUNCT
iajs-450	91	7	u	u	NOUN
iajs-450	91	8	,	,	PUNCT
iajs-450	91	9	u	u	NOUN
iajs-450	91	10	,	,	PUNCT
iajs-450	91	11	u	u	PROPN
iajs-450	91	12	21043221100	21043221100	NUM
iajs-450	91	13	aaappppp	aaappppp	NOUN
iajs-450	91	14	=	=	PROPN
iajs-450	92	1	=	=	SYM
iajs-450	92	2	=	=	SYM
iajs-450	92	3	=	=	NOUN
iajs-450	92	4	=	=	PUNCT
iajs-450	92	5	be	be	VERB
iajs-450	92	6	the	the	DET
iajs-450	92	7	vertices	vertex	NOUN
iajs-450	92	8	of	of	ADP
iajs-450	92	9	a	a	DET
iajs-450	92	10	pentastigm	pentastigm	NOUN
iajs-450	92	11	ρ	ρ	NOUN
iajs-450	92	12	.	.	PUNCT
iajs-450	93	1	so	so	ADV
iajs-450	93	2	,	,	PUNCT
iajs-450	93	3	the	the	DET
iajs-450	93	4	following	follow	VERB
iajs-450	93	5	equation	equation	NOUN
iajs-450	93	6	is	be	AUX
iajs-450	93	7	satisfied	satisfied	ADJ
iajs-450	93	8	:	:	PUNCT
iajs-450	93	9	.0	.0	NUM
iajs-450	93	10	)	)	PUNCT
iajs-450	93	11	)	)	PUNCT
iajs-450	93	12	(	(	PUNCT
iajs-450	93	13	)	)	PUNCT
iajs-450	93	14	(	(	PUNCT
iajs-450	93	15	(	(	PUNCT
iajs-450	93	16	212010210	212010210	NUM
iajs-450	93	17	≠−−−	≠−−−	NUM
iajs-450	93	18	aaaaaaaaa	aaaaaaaaa	NOUN
iajs-450	93	19	in	in	ADP
iajs-450	93	20	this	this	DET
iajs-450	93	21	section	section	NOUN
iajs-450	93	22	,	,	PUNCT
iajs-450	93	23	the	the	DET
iajs-450	93	24	inequivalent	inequivalent	ADJ
iajs-450	93	25	5	5	NUM
iajs-450	93	26	-	-	PUNCT
iajs-450	93	27	arc	arc	NOUN
iajs-450	93	28	that	that	PRON
iajs-450	93	29	has	have	VERB
iajs-450	93	30	a	a	DET
iajs-450	93	31	five	five	NUM
iajs-450	93	32	diagonal	diagonal	ADJ
iajs-450	93	33	points	point	NOUN
iajs-450	93	34	is	be	AUX
iajs-450	93	35	found	find	VERB
iajs-450	93	36	in	in	ADP
iajs-450	93	37	)	)	PUNCT
iajs-450	93	38	,	,	PUNCT
iajs-450	93	39	2	2	NUM
iajs-450	93	40	(	(	PUNCT
iajs-450	93	41	qpg	qpg	NOUN
iajs-450	93	42	,	,	PUNCT
iajs-450	93	43	.31,29	.31,29	PUNCT
iajs-450	94	1	=	=	SYM
iajs-450	94	2	q	q	X
iajs-450	94	3	lemma	lemma	PROPN
iajs-450	94	4	3.2[1	3.2[1	NUM
iajs-450	94	5	]	]	X
iajs-450	94	6	:	:	PUNCT
iajs-450	94	7	the	the	DET
iajs-450	94	8	condition	condition	NOUN
iajs-450	94	9	that	that	SCONJ
iajs-450	94	10	five	five	NUM
iajs-450	94	11	diagonal	diagonal	ADJ
iajs-450	94	12	points	point	NOUN
iajs-450	94	13	of	of	ADP
iajs-450	94	14	a	a	DET
iajs-450	94	15	pentastigm	pentastigm	NOUN
iajs-450	94	16	ρ	ρ	NOUN
iajs-450	94	17	are	be	AUX
iajs-450	94	18	collinear	collinear	ADJ
iajs-450	94	19	in	in	ADP
iajs-450	94	20	)	)	PUNCT
iajs-450	94	21	,	,	PUNCT
iajs-450	94	22	2	2	NUM
iajs-450	94	23	(	(	PUNCT
iajs-450	94	24	qpg	qpg	NOUN
iajs-450	94	25	is	be	AUX
iajs-450	94	26	that	that	SCONJ
iajs-450	94	27	012	012	NUM
iajs-450	95	1	=	=	NOUN
iajs-450	95	2	−−	−−	NOUN
iajs-450	95	3	xx	xx	NUM
iajs-450	95	4	has	have	VERB
iajs-450	95	5	solution	solution	NOUN
iajs-450	95	6	in	in	ADP
iajs-450	95	7	qf	qf	PROPN
iajs-450	95	8	.	.	PUNCT
iajs-450	96	1	corollary	corollary	ADJ
iajs-450	96	2	3.3	3.3	NUM
iajs-450	96	3	:	:	PUNCT
iajs-450	96	4	(	(	PUNCT
iajs-450	96	5	i	i	NOUN
iajs-450	96	6	)	)	PUNCT
iajs-450	96	7	if	if	SCONJ
iajs-450	96	8	,	,	PUNCT
iajs-450	96	9	29	29	NUM
iajs-450	96	10	=	=	NOUN
iajs-450	96	11	q	q	NOUN
iajs-450	96	12	the	the	DET
iajs-450	96	13	equation	equation	NOUN
iajs-450	96	14	012	012	NUM
iajs-450	97	1	=	=	ADJ
iajs-450	97	2	−−	−−	NOUN
iajs-450	97	3	xx	xx	NUM
iajs-450	97	4	has	have	VERB
iajs-450	97	5	two	two	NUM
iajs-450	97	6	solutions	solution	NOUN
iajs-450	97	7	5,6	5,6	NUM
iajs-450	97	8	−	−	NOUN
iajs-450	97	9	.	.	PUNCT
iajs-450	98	1	(	(	PUNCT
iajs-450	98	2	ii	ii	NOUN
iajs-450	98	3	)	)	PUNCT
iajs-450	98	4	if	if	SCONJ
iajs-450	98	5	,	,	PUNCT
iajs-450	98	6	31	31	NUM
iajs-450	98	7	=	=	NUM
iajs-450	98	8	q	q	NOUN
iajs-450	98	9	the	the	DET
iajs-450	98	10	equation	equation	NOUN
iajs-450	98	11	012	012	NUM
iajs-450	99	1	=	=	ADJ
iajs-450	99	2	−−	−−	NOUN
iajs-450	99	3	xx	xx	NUM
iajs-450	99	4	has	have	VERB
iajs-450	99	5	two	two	NUM
iajs-450	99	6	solutions	solution	NOUN
iajs-450	99	7	12,13	12,13	NUM
iajs-450	99	8	−	−	NOUN
iajs-450	99	9	.	.	PUNCT
iajs-450	100	1	so	so	ADV
iajs-450	100	2	,	,	PUNCT
iajs-450	100	3	there	there	PRON
iajs-450	100	4	is	be	VERB
iajs-450	100	5	a	a	DET
iajs-450	100	6	pentastigm	pentastigm	NOUN
iajs-450	100	7	with	with	ADP
iajs-450	100	8	five	five	NUM
iajs-450	100	9	collinear	collinear	ADJ
iajs-450	100	10	points	point	NOUN
iajs-450	100	11	in	in	ADP
iajs-450	100	12	)	)	PUNCT
iajs-450	100	13	29,2(pg	29,2(pg	NUM
iajs-450	100	14	and	and	CCONJ
iajs-450	100	15	)	)	PUNCT
iajs-450	100	16	31,2(pg	31,2(pg	NUM
iajs-450	100	17	.	.	PUNCT
iajs-450	101	1	theorem	theorem	VERB
iajs-450	101	2	3.4	3.4	NUM
iajs-450	101	3	:	:	PUNCT
iajs-450	101	4	(	(	PUNCT
iajs-450	101	5	i	i	NOUN
iajs-450	101	6	)	)	PUNCT
iajs-450	101	7	in	in	ADP
iajs-450	101	8	)	)	PUNCT
iajs-450	101	9	29,2(pg	29,2(pg	NUM
iajs-450	101	10	,	,	PUNCT
iajs-450	101	11	the	the	DET
iajs-450	101	12	pentastigm	pentastigm	NOUN
iajs-450	101	13	which	which	PRON
iajs-450	101	14	has	have	VERB
iajs-450	101	15	the	the	DET
iajs-450	101	16	5	5	NUM
iajs-450	101	17	-	-	PUNCT
iajs-450	101	18	arc	arc	NOUN
iajs-450	101	19	10a	10a	NOUN
iajs-450	101	20	as	as	ADP
iajs-450	101	21	vertices	vertex	NOUN
iajs-450	101	22	has	have	VERB
iajs-450	101	23	five	five	NUM
iajs-450	101	24	diagonal	diagonal	ADJ
iajs-450	101	25	points	point	NOUN
iajs-450	101	26	which	which	PRON
iajs-450	101	27	are	be	AUX
iajs-450	101	28	collinear	collinear	VERB
iajs-450	101	29	on	on	ADP
iajs-450	101	30	the	the	DET
iajs-450	101	31	line	line	NOUN
iajs-450	101	32	)	)	PUNCT
iajs-450	101	33	5v	5v	NOUN
iajs-450	101	34	(	(	PUNCT
iajs-450	101	35	210627	210627	NUM
iajs-450	101	36	xxx	xxx	NOUN
iajs-450	101	37	−−=	−−=	PROPN
iajs-450	101	38	as	as	SCONJ
iajs-450	101	39	shown	show	VERB
iajs-450	101	40	below	below	ADP
iajs-450	101	41	.	.	PUNCT
iajs-450	101	42	)	)	PUNCT
iajs-450	102	1	.1,,(p2314)15(),1,,0(p1204)10(),1,0,(p1402)5	.1,,(p2314)15(),1,,0(p1204)10(),1,0,(p1402)5	PROPN
iajs-450	102	2	(	(	PUNCT
iajs-450	102	3	)	)	PUNCT
iajs-450	102	4	,	,	PUNCT
iajs-450	102	5	1,,1(p2413)14(),1,1,(p2403)9(),1,0,1(p1302)4	1,,1(p2413)14(),1,1,(p2403)9(),1,0,1(p1302)4	PROPN
iajs-450	102	6	(	(	PUNCT
iajs-450	102	7	)	)	PUNCT
iajs-450	102	8	,	,	PUNCT
iajs-450	102	9	1,,0(p3412)13(),1,1,(p1403)8(),0,1,(p3401)3	1,,0(p3412)13(),1,1,(p1403)8(),0,1,(p3401)3	NUM
iajs-450	102	10	(	(	PUNCT
iajs-450	102	11	)	)	PUNCT
iajs-450	102	12	,	,	PUNCT
iajs-450	102	13	1,,(p2304)12(),1,1,0(p1203)7(),0,1,(p2401)2	1,,(p2304)12(),1,1,0(p1203)7(),0,1,(p2401)2	NUM
iajs-450	102	14	(	(	PUNCT
iajs-450	102	15	)	)	PUNCT
iajs-450	102	16	,	,	PUNCT
iajs-450	102	17	1,,1(p1304)11(),1,0,(p3402)6(),0,1,1(p2301)1	1,,1(p1304)11(),1,0,(p3402)6(),0,1,1(p2301)1	NUM
iajs-450	102	18	(	(	PUNCT
iajs-450	102	19	22221622	22221622	NUM
iajs-450	102	20	226	226	NUM
iajs-450	102	21	82222	82222	NUM
iajs-450	102	22	16166	16166	NUM
iajs-450	102	23	1616	1616	NUM
iajs-450	102	24	vvvv	vvvv	NOUN
iajs-450	102	25	vv	vv	ADP
iajs-450	102	26	vvv	vvv	PROPN
iajs-450	102	27	vvv	vvv	VERB
iajs-450	102	28	vv	vv	ADP
iajs-450	102	29	=	=	NOUN
iajs-450	102	30	⋅=⋅=⋅	⋅=⋅=⋅	NOUN
iajs-450	102	31	=	=	NOUN
iajs-450	102	32	⋅=⋅=⋅	⋅=⋅=⋅	NOUN
iajs-450	102	33	=	=	NOUN
iajs-450	102	34	⋅=⋅=⋅	⋅=⋅=⋅	NOUN
iajs-450	102	35	=	=	NOUN
iajs-450	102	36	⋅=⋅=⋅	⋅=⋅=⋅	NOUN
iajs-450	102	37	=	=	NOUN
iajs-450	102	38	⋅=⋅=⋅	⋅=⋅=⋅	NOUN
iajs-450	102	39	amongst	amongst	ADP
iajs-450	102	40	these	these	DET
iajs-450	102	41	diagonal	diagonal	ADJ
iajs-450	102	42	points	point	NOUN
iajs-450	102	43	,	,	PUNCT
iajs-450	102	44	the	the	DET
iajs-450	102	45	five	five	NUM
iajs-450	102	46	diagonal	diagonal	ADJ
iajs-450	102	47	points	point	NOUN
iajs-450	102	48	)	)	PUNCT
iajs-450	102	49	,	,	PUNCT
iajs-450	102	50	1,,0(p3412	1,,0(p3412	NUM
iajs-450	102	51	)	)	PUNCT
iajs-450	102	52	,	,	PUNCT
iajs-450	102	53	1,,1(p1304	1,,1(p1304	NUM
iajs-450	102	54	)	)	PUNCT
iajs-450	102	55	,	,	PUNCT
iajs-450	102	56	1,1,(p2403	1,1,(p2403	NUM
iajs-450	102	57	)	)	PUNCT
iajs-450	102	58	,	,	PUNCT
iajs-450	102	59	1,0,(p1402	1,0,(p1402	NUM
iajs-450	102	60	)	)	PUNCT
iajs-450	102	61	,	,	PUNCT
iajs-450	102	62	0,1,1(p2301	0,1,1(p2301	PROPN
iajs-450	102	63	8	8	NUM
iajs-450	102	64	16	16	NUM
iajs-450	102	65	6	6	NUM
iajs-450	102	66	22	22	NUM
iajs-450	102	67	v	v	NUM
iajs-450	102	68	v	v	NOUN
iajs-450	102	69	v	v	NOUN
iajs-450	102	70	v	v	NOUN
iajs-450	102	71	=	=	NOUN
iajs-450	102	72	⋅	⋅	X
iajs-450	102	73	=	=	ADJ
iajs-450	102	74	⋅	⋅	PROPN
iajs-450	102	75	=	=	ADJ
iajs-450	102	76	⋅	⋅	PROPN
iajs-450	102	77	=	=	ADJ
iajs-450	102	78	⋅	⋅	PROPN
iajs-450	102	79	=	=	NOUN
iajs-450	102	80	⋅	⋅	X
iajs-450	102	81	414	414	NUM
iajs-450	102	82	|	|	NOUN
iajs-450	102	83	mathematics	mathematic	NOUN
iajs-450	102	84	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	PROPN
iajs-450	102	85	�	�	PROPN
iajs-450	102	86	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	NUM
iajs-450	102	87	:	:	PUNCT
iajs-450	102	88	a@âig@ú‹	a@âig@ú‹	PROPN
iajs-450	103	1	©	©	PROPN
iajs-450	103	2	@ü‹1a26@@öü»€a@i3@‚b«@h2013	@ü‹1a26@@öü»€a@i3@‚b«@h2013	PROPN
iajs-450	103	3	ibn	ibn	PROPN
iajs-450	103	4	al	al	PROPN
iajs-450	103	5	-	-	PUNCT
iajs-450	103	6	haitham	haitham	PROPN
iajs-450	103	7	jour	jour	X
iajs-450	103	8	.	.	PROPN
iajs-450	104	1	for	for	ADP
iajs-450	104	2	pure	pure	ADJ
iajs-450	104	3	&	&	CCONJ
iajs-450	104	4	appl	appl	PROPN
iajs-450	104	5	.	.	PUNCT
iajs-450	105	1	sci	sci	PROPN
iajs-450	105	2	.	.	PUNCT
iajs-450	105	3	vol	vol	NOUN
iajs-450	105	4	.	.	PROPN
iajs-450	106	1	26	26	NUM
iajs-450	106	2	(	(	PUNCT
iajs-450	106	3	3	3	NUM
iajs-450	106	4	)	)	PUNCT
iajs-450	106	5	2013	2013	NUM
iajs-450	106	6	lie	lie	NOUN
iajs-450	106	7	on	on	ADP
iajs-450	106	8	the	the	DET
iajs-450	106	9	line	line	NOUN
iajs-450	106	10	)	)	PUNCT
iajs-450	106	11	5v	5v	NOUN
iajs-450	106	12	(	(	PUNCT
iajs-450	106	13	210627	210627	NUM
iajs-450	106	14	xxx	xxx	NOUN
iajs-450	106	15	−−=	−−=	PROPN
iajs-450	106	16	.	.	PUNCT
iajs-450	107	1	(	(	PUNCT
iajs-450	107	2	ii	ii	NOUN
iajs-450	107	3	)	)	PUNCT
iajs-450	107	4	in	in	ADP
iajs-450	107	5	)	)	PUNCT
iajs-450	107	6	31,2(pg	31,2(pg	NUM
iajs-450	107	7	,	,	PUNCT
iajs-450	107	8	the	the	DET
iajs-450	107	9	pentastigm	pentastigm	NOUN
iajs-450	107	10	which	which	PRON
iajs-450	107	11	has	have	VERB
iajs-450	107	12	the	the	DET
iajs-450	107	13	5	5	NUM
iajs-450	107	14	-	-	PUNCT
iajs-450	107	15	arc	arc	NOUN
iajs-450	107	16	11a′	11a′	NUM
iajs-450	107	17	as	as	ADP
iajs-450	107	18	vertices	vertex	NOUN
iajs-450	107	19	has	have	VERB
iajs-450	107	20	five	five	NUM
iajs-450	107	21	diagonal	diagonal	ADJ
iajs-450	107	22	points	point	NOUN
iajs-450	107	23	which	which	PRON
iajs-450	107	24	are	be	AUX
iajs-450	107	25	collinear	collinear	VERB
iajs-450	107	26	on	on	ADP
iajs-450	107	27	the	the	DET
iajs-450	107	28	line	line	NOUN
iajs-450	107	29	)	)	PUNCT
iajs-450	107	30	1219v	1219v	NUM
iajs-450	107	31	(	(	PUNCT
iajs-450	107	32	210379	210379	NUM
iajs-450	107	33	xxx	xxx	X
iajs-450	108	1	+	+	ADJ
iajs-450	108	2	+	+	ADJ
iajs-450	108	3	=	=	ADJ
iajs-450	108	4			ADJ
iajs-450	108	5	as	as	SCONJ
iajs-450	108	6	shown	show	VERB
iajs-450	108	7	below	below	ADP
iajs-450	108	8	.	.	PUNCT
iajs-450	108	9	)	)	PUNCT
iajs-450	109	1	.1,,(p2314)15(),1,,0(p1204)10(),1,0,(p1402)5	.1,,(p2314)15(),1,,0(p1204)10(),1,0,(p1402)5	PROPN
iajs-450	109	2	(	(	PUNCT
iajs-450	109	3	)	)	PUNCT
iajs-450	109	4	,	,	PUNCT
iajs-450	109	5	1,,1(p2413)14(),1,1,(p2403)9(),1,0,1(p1302)4	1,,1(p2413)14(),1,1,(p2403)9(),1,0,1(p1302)4	PROPN
iajs-450	109	6	(	(	PUNCT
iajs-450	109	7	)	)	PUNCT
iajs-450	109	8	,	,	PUNCT
iajs-450	109	9	1,,0(p3412)13(),1,1,(p1403)8(),0,1,(p3401)3	1,,0(p3412)13(),1,1,(p1403)8(),0,1,(p3401)3	NUM
iajs-450	109	10	(	(	PUNCT
iajs-450	109	11	)	)	PUNCT
iajs-450	109	12	,	,	PUNCT
iajs-450	109	13	1,,(p2304)12(),1,1,0(p1203)7(),0,1,(p2401)2	1,,(p2304)12(),1,1,0(p1203)7(),0,1,(p2401)2	NUM
iajs-450	109	14	(	(	PUNCT
iajs-450	109	15	)	)	PUNCT
iajs-450	109	16	,	,	PUNCT
iajs-450	109	17	1,,1(p1304)11(),1,0,(p3402)6(),0,1,1(p2301)1	1,,1(p1304)11(),1,0,(p3402)6(),0,1,1(p2301)1	NUM
iajs-450	109	18	(	(	PUNCT
iajs-450	109	19	44264	44264	NUM
iajs-450	109	20	228	228	NUM
iajs-450	109	21	4419	4419	NUM
iajs-450	109	22	26268	26268	NUM
iajs-450	109	23	2625	2625	NUM
iajs-450	109	24	ωωωω	ωωωω	NOUN
iajs-450	109	25	ωω	ωω	ADP
iajs-450	109	26	ωωω	ωωω	NOUN
iajs-450	109	27	ωωω	ωωω	NOUN
iajs-450	109	28	ωω	ωω	ADP
iajs-450	109	29	=	=	PRON
iajs-450	109	30	⋅=⋅=⋅	⋅=⋅=⋅	NOUN
iajs-450	109	31	=	=	NOUN
iajs-450	109	32	⋅=⋅=⋅	⋅=⋅=⋅	NOUN
iajs-450	109	33	=	=	NOUN
iajs-450	109	34	⋅=⋅=⋅	⋅=⋅=⋅	NOUN
iajs-450	109	35	=	=	NOUN
iajs-450	109	36	⋅=⋅=⋅	⋅=⋅=⋅	NOUN
iajs-450	109	37	=	=	NOUN
iajs-450	109	38	⋅=⋅=⋅	⋅=⋅=⋅	NOUN
iajs-450	109	39	amongst	amongst	ADP
iajs-450	109	40	these	these	DET
iajs-450	109	41	diagonal	diagonal	ADJ
iajs-450	109	42	points	point	NOUN
iajs-450	109	43	,	,	PUNCT
iajs-450	109	44	the	the	DET
iajs-450	109	45	five	five	NUM
iajs-450	109	46	diagonal	diagonal	ADJ
iajs-450	109	47	points	point	NOUN
iajs-450	109	48	)	)	PUNCT
iajs-450	109	49	,	,	PUNCT
iajs-450	109	50	1,,1(p2413	1,,1(p2413	NUM
iajs-450	109	51	)	)	PUNCT
iajs-450	109	52	,	,	PUNCT
iajs-450	109	53	1,,(p2304	1,,(p2304	NUM
iajs-450	109	54	)	)	PUNCT
iajs-450	109	55	,	,	PUNCT
iajs-450	109	56	1,0,0(p1203	1,0,0(p1203	PROPN
iajs-450	109	57	)	)	PUNCT
iajs-450	109	58	,	,	PUNCT
iajs-450	109	59	1,0,(p1402	1,0,(p1402	NUM
iajs-450	109	60	)	)	PUNCT
iajs-450	109	61	,	,	PUNCT
iajs-450	109	62	0,1,(p3401	0,1,(p3401	NOUN
iajs-450	109	63	22	22	NUM
iajs-450	109	64	2626	2626	NUM
iajs-450	109	65	4	4	NUM
iajs-450	109	66	19	19	NUM
iajs-450	109	67	ω	ω	NUM
iajs-450	109	68	ωω	ωω	PROPN
iajs-450	109	69	ω	ω	PROPN
iajs-450	109	70	ω	ω	PROPN
iajs-450	110	1	=	=	NOUN
iajs-450	110	2	⋅	⋅	PROPN
iajs-450	110	3	=	=	ADJ
iajs-450	110	4	⋅	⋅	PROPN
iajs-450	110	5	=	=	ADJ
iajs-450	110	6	⋅	⋅	PROPN
iajs-450	110	7	=	=	ADJ
iajs-450	110	8	⋅	⋅	PROPN
iajs-450	110	9	=	=	ADJ
iajs-450	110	10	⋅	⋅	PROPN
iajs-450	110	11	lie	lie	NOUN
iajs-450	110	12	on	on	ADP
iajs-450	110	13	the	the	DET
iajs-450	110	14	line	line	NOUN
iajs-450	110	15	)	)	PUNCT
iajs-450	110	16	1219v	1219v	NUM
iajs-450	110	17	(	(	PUNCT
iajs-450	110	18	210379	210379	NUM
iajs-450	110	19	xxx	xxx	X
iajs-450	111	1	+	+	ADJ
iajs-450	111	2	+	+	ADJ
iajs-450	111	3	=	=	ADJ
iajs-450	111	4			X
iajs-450	111	5	.	.	PUNCT
iajs-450	112	1	the	the	DET
iajs-450	112	2	group	group	NOUN
iajs-450	112	3	action	action	NOUN
iajs-450	112	4	of	of	ADP
iajs-450	112	5	5d	5d	NUM
iajs-450	112	6	on	on	ADP
iajs-450	112	7	the	the	DET
iajs-450	112	8	5	5	NUM
iajs-450	112	9	-	-	PUNCT
iajs-450	112	10	arc	arc	NOUN
iajs-450	112	11	in	in	ADP
iajs-450	112	12	this	this	DET
iajs-450	112	13	section	section	NOUN
iajs-450	112	14	,	,	PUNCT
iajs-450	112	15	the	the	DET
iajs-450	112	16	group	group	NOUN
iajs-450	112	17	action	action	NOUN
iajs-450	112	18	of	of	ADP
iajs-450	112	19	5d	5d	NUM
iajs-450	112	20	on	on	ADP
iajs-450	112	21	the	the	DET
iajs-450	112	22	5	5	NUM
iajs-450	112	23	-	-	PUNCT
iajs-450	112	24	arc	arc	NOUN
iajs-450	112	25	10a	10a	NOUN
iajs-450	112	26	in	in	ADP
iajs-450	112	27	)	)	PUNCT
iajs-450	112	28	29,2(pg	29,2(pg	NUM
iajs-450	112	29	and	and	CCONJ
iajs-450	112	30	on	on	ADP
iajs-450	112	31	the	the	DET
iajs-450	112	32	5	5	NUM
iajs-450	112	33	-	-	PUNCT
iajs-450	112	34	arc	arc	NOUN
iajs-450	112	35	11a′	11a′	NUM
iajs-450	112	36	in	in	ADP
iajs-450	112	37	)	)	PUNCT
iajs-450	112	38	31,2(pg	31,2(pg	NUM
iajs-450	112	39	has	have	AUX
iajs-450	112	40	been	be	AUX
iajs-450	112	41	studied	study	VERB
iajs-450	112	42	.	.	PUNCT
iajs-450	113	1	(	(	PUNCT
iajs-450	113	2	i	i	NOUN
iajs-450	113	3	)	)	PUNCT
iajs-450	114	1	when	when	SCONJ
iajs-450	114	2	29	29	NUM
iajs-450	114	3	=	=	NOUN
iajs-450	114	4	q	q	NOUN
iajs-450	114	5	.	.	PUNCT
iajs-450	114	6	from	from	ADP
iajs-450	114	7	table	table	NOUN
iajs-450	114	8	1	1	NUM
iajs-450	114	9	,	,	PUNCT
iajs-450	114	10	the	the	DET
iajs-450	114	11	dihedral	dihedral	ADJ
iajs-450	114	12	group	group	NOUN
iajs-450	114	13	5d	5d	PROPN
iajs-450	114	14	generated	generate	VERB
iajs-450	114	15	by	by	ADP
iajs-450	114	16			PROPN
iajs-450	114	17			PROPN
iajs-450	114	18			PROPN
iajs-450	114	19			PROPN
iajs-450	114	20			PROPN
iajs-450	114	21			ADJ
iajs-450	114	22			ADJ
iajs-450	114	23			ADJ
iajs-450	114	24			NUM
iajs-450	114	25			NOUN
iajs-450	114	26	=	=	PUNCT
iajs-450	114	27			PROPN
iajs-450	114	28			PROPN
iajs-450	114	29			PROPN
iajs-450	114	30			PROPN
iajs-450	114	31			PROPN
iajs-450	114	32			ADJ
iajs-450	114	33			ADJ
iajs-450	114	34			ADJ
iajs-450	114	35			NUM
iajs-450	114	36			NOUN
iajs-450	114	37	=	=	SYM
iajs-450	114	38	00	00	NUM
iajs-450	114	39	111	111	NUM
iajs-450	114	40	00	00	NUM
iajs-450	114	41	,	,	PUNCT
iajs-450	114	42	00	00	NUM
iajs-450	114	43	00	00	NUM
iajs-450	114	44	00	00	NUM
iajs-450	115	1	2	2	NUM
iajs-450	115	2	8	8	NUM
iajs-450	115	3	2	2	NUM
iajs-450	115	4	14	14	NUM
iajs-450	115	5	8	8	NUM
iajs-450	115	6	v	v	NUM
iajs-450	115	7	v	v	NOUN
iajs-450	115	8	s	s	NOUN
iajs-450	115	9	v	v	NOUN
iajs-450	115	10	v	v	NOUN
iajs-450	115	11	v	v	NOUN
iajs-450	115	12	r	r	NOUN
iajs-450	115	13	is	be	AUX
iajs-450	115	14	the	the	DET
iajs-450	115	15	stabilizer	stabilizer	NOUN
iajs-450	115	16	group	group	NOUN
iajs-450	115	17	of	of	ADP
iajs-450	115	18	the	the	DET
iajs-450	115	19	5	5	NUM
iajs-450	115	20	-arc	-arc	PUNCT
iajs-450	115	21	10a	10a	NOUN
iajs-450	115	22	.	.	PUNCT
iajs-450	116	1	the	the	DET
iajs-450	116	2	effects	effect	NOUN
iajs-450	116	3	of	of	ADP
iajs-450	116	4	the	the	DET
iajs-450	116	5	group	group	NOUN
iajs-450	116	6	5d	5d	PROPN
iajs-450	116	7	on	on	ADP
iajs-450	116	8	the	the	DET
iajs-450	116	9	projective	projective	ADJ
iajs-450	116	10	plane	plane	NOUN
iajs-450	116	11	)	)	PUNCT
iajs-450	116	12	29,2(pg	29,2(pg	NUM
iajs-450	116	13	are	be	AUX
iajs-450	116	14	given	give	VERB
iajs-450	116	15	below	below	ADV
iajs-450	116	16	.	.	PUNCT
iajs-450	117	1	1	1	X
iajs-450	117	2	.	.	X
iajs-450	117	3	the	the	DET
iajs-450	117	4	group	group	NOUN
iajs-450	117	5	5d	5d	PROPN
iajs-450	117	6	fixes	fix	VERB
iajs-450	117	7	the	the	DET
iajs-450	117	8	conic	conic	ADJ
iajs-450	117	9	10ac	10ac	NOUN
iajs-450	117	10	.	.	PUNCT
iajs-450	118	1	2	2	X
iajs-450	118	2	.	.	X
iajs-450	118	3	the	the	DET
iajs-450	118	4	group	group	NOUN
iajs-450	118	5	5d	5d	PROPN
iajs-450	118	6	acts	act	VERB
iajs-450	118	7	transitively	transitively	PROPN
iajs-450	118	8	on	on	ADP
iajs-450	118	9	10a	10a	PROPN
iajs-450	118	10	since	since	SCONJ
iajs-450	118	11	10	10	NUM
iajs-450	118	12	u),u	u),u	PROPN
iajs-450	118	13	(	(	PUNCT
iajs-450	118	14	rs	rs	PROPN
iajs-450	118	15	,	,	PUNCT
iajs-450	118	16	2	2	NUM
iajs-450	118	17	4	4	NUM
iajs-450	118	18	0	0	NUM
iajs-450	118	19	u),u	u),u	PROPN
iajs-450	118	20	(	(	PUNCT
iajs-450	118	21	rs	rs	PUNCT
iajs-450	118	22	,	,	PUNCT
iajs-450	118	23	415	415	NUM
iajs-450	118	24	|	|	ADV
iajs-450	118	25	mathematics	mathematic	NOUN
iajs-450	118	26	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	PROPN
iajs-450	118	27	�	�	PROPN
iajs-450	118	28	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	NUM
iajs-450	118	29	:	:	PUNCT
iajs-450	118	30	a@âig@ú‹	a@âig@ú‹	PROPN
iajs-450	119	1	©	©	PROPN
iajs-450	119	2	@ü‹1a26@@öü»€a@i3@‚b«@h2013	@ü‹1a26@@öü»€a@i3@‚b«@h2013	PROPN
iajs-450	119	3	ibn	ibn	PROPN
iajs-450	119	4	al	al	PROPN
iajs-450	119	5	-	-	PUNCT
iajs-450	119	6	haitham	haitham	PROPN
iajs-450	119	7	jour	jour	X
iajs-450	119	8	.	.	PROPN
iajs-450	120	1	for	for	ADP
iajs-450	120	2	pure	pure	ADJ
iajs-450	120	3	&	&	CCONJ
iajs-450	120	4	appl	appl	PROPN
iajs-450	120	5	.	.	PUNCT
iajs-450	121	1	sci	sci	PROPN
iajs-450	121	2	.	.	PUNCT
iajs-450	121	3	vol	vol	NOUN
iajs-450	121	4	.	.	PROPN
iajs-450	122	1	26	26	NUM
iajs-450	122	2	(	(	PUNCT
iajs-450	122	3	3	3	NUM
iajs-450	122	4	)	)	PUNCT
iajs-450	122	5	2013	2013	NUM
iajs-450	122	6	u),u	u),u	PROPN
iajs-450	122	7	(	(	PUNCT
iajs-450	122	8	2	2	NUM
iajs-450	122	9	0	0	NUM
iajs-450	122	10	rs	rs	PUNCT
iajs-450	122	11	,	,	PUNCT
iajs-450	122	12	,	,	PUNCT
iajs-450	122	13	1),p(),u	1),p(),u	NUM
iajs-450	122	14	(	(	PUNCT
iajs-450	122	15	16223	16223	NUM
iajs-450	122	16	0	0	NUM
iajs-450	122	17	vvrs	vvrs	ADJ
iajs-450	122	18			NOUN
iajs-450	122	19	.	.	PUNCT
iajs-450	123	1	3	3	X
iajs-450	123	2	.	.	X
iajs-450	123	3	each	each	PRON
iajs-450	123	4	of	of	ADP
iajs-450	123	5	the	the	DET
iajs-450	123	6	five	five	NUM
iajs-450	123	7	projectivities	projectivitie	NOUN
iajs-450	123	8	432	432	NUM
iajs-450	123	9	,	,	PUNCT
iajs-450	123	10	,	,	PUNCT
iajs-450	123	11	,	,	PUNCT
iajs-450	123	12	,	,	PUNCT
iajs-450	123	13	rsrsrsrsr	rsrsrsrsr	ADJ
iajs-450	123	14	fixes	fix	NOUN
iajs-450	123	15	25	25	NUM
iajs-450	123	16	points	point	NOUN
iajs-450	123	17	amongst	amongst	ADP
iajs-450	123	18	the	the	DET
iajs-450	123	19	601	601	NUM
iajs-450	123	20	points	point	NOUN
iajs-450	123	21	of	of	ADP
iajs-450	123	22	index	index	NOUN
iajs-450	123	23	zero	zero	NUM
iajs-450	123	24	by	by	ADP
iajs-450	123	25	transforming	transform	VERB
iajs-450	123	26	each	each	DET
iajs-450	123	27	point	point	NOUN
iajs-450	123	28	to	to	ADP
iajs-450	123	29	itself	itself	PRON
iajs-450	123	30	.	.	PUNCT
iajs-450	124	1	4	4	X
iajs-450	124	2	.	.	X
iajs-450	124	3	each	each	PRON
iajs-450	124	4	of	of	ADP
iajs-450	124	5	these	these	DET
iajs-450	124	6	25	25	NUM
iajs-450	124	7	points	point	NOUN
iajs-450	124	8	lies	lie	VERB
iajs-450	124	9	on	on	ADP
iajs-450	124	10	a	a	DET
iajs-450	124	11	line	line	NOUN
iajs-450	124	12	which	which	PRON
iajs-450	124	13	is	be	AUX
iajs-450	124	14	a	a	DET
iajs-450	124	15	unisecant	unisecant	ADJ
iajs-450	124	16	to	to	ADP
iajs-450	124	17	10a	10a	PROPN
iajs-450	124	18	and	and	CCONJ
iajs-450	124	19	a	a	DET
iajs-450	124	20	bisecant	bisecant	NOUN
iajs-450	124	21	of	of	ADP
iajs-450	124	22	the	the	DET
iajs-450	124	23	conic	conic	ADJ
iajs-450	124	24	212010	212010	NUM
iajs-450	124	25	65	65	NUM
iajs-450	124	26	10	10	NUM
iajs-450	124	27	xxxxxxca	xxxxxxca	PROPN
iajs-450	124	28	−+=	−+=	NOUN
iajs-450	124	29	.	.	PUNCT
iajs-450	125	1	these	these	DET
iajs-450	125	2	lines	line	NOUN
iajs-450	125	3	are	be	AUX
iajs-450	125	4	)	)	PUNCT
iajs-450	125	5	;	;	PUNCT
iajs-450	125	6	v(5	v(5	PROPN
iajs-450	125	7	12244	12244	NUM
iajs-450	125	8	xx	xx	NUM
iajs-450	125	9	−=	−=	PROPN
iajs-450	125	10	)	)	PUNCT
iajs-450	125	11	;	;	PUNCT
iajs-450	125	12	v	v	X
iajs-450	125	13	(	(	PUNCT
iajs-450	125	14	210790	210790	NUM
iajs-450	125	15	xxx	xxx	NOUN
iajs-450	125	16	−+=	−+=	PROPN
iajs-450	125	17	)	)	PUNCT
iajs-450	125	18	;	;	PUNCT
iajs-450	125	19	4v	4v	NOUN
iajs-450	125	20	(	(	PUNCT
iajs-450	125	21	20659	20659	NUM
iajs-450	125	22	xx	xx	NUM
iajs-450	126	1	+	+	PUNCT
iajs-450	126	2	=	=	NOUN
iajs-450	126	3			X
iajs-450	126	4	)	)	PUNCT
iajs-450	126	5	;	;	PUNCT
iajs-450	127	1	5v	5v	NUM
iajs-450	127	2	(	(	PUNCT
iajs-450	127	3	1072	1072	NUM
iajs-450	127	4	xx	xx	NUM
iajs-450	127	5	−=	−=	PROPN
iajs-450	127	6	)	)	PUNCT
iajs-450	127	7	.56v	.56v	PROPN
iajs-450	127	8	(	(	PUNCT
iajs-450	127	9	210422	210422	NUM
iajs-450	127	10	xxx	xxx	X
iajs-450	128	1	+	+	ADJ
iajs-450	128	2	−=	−=	NOUN
iajs-450	128	3	5	5	NUM
iajs-450	128	4	.	.	PUNCT
iajs-450	129	1	each	each	PRON
iajs-450	129	2	of	of	ADP
iajs-450	129	3	the	the	DET
iajs-450	129	4	five	five	NUM
iajs-450	129	5	projectivities	projectivitie	NOUN
iajs-450	129	6	432	432	NUM
iajs-450	129	7	,	,	PUNCT
iajs-450	129	8	,	,	PUNCT
iajs-450	129	9	,	,	PUNCT
iajs-450	129	10	,	,	PUNCT
iajs-450	129	11	rsrsrsrsr	rsrsrsrsr	ADJ
iajs-450	129	12	fixes	fix	NOUN
iajs-450	129	13	31	31	NUM
iajs-450	129	14	points	point	NOUN
iajs-450	129	15	of	of	ADP
iajs-450	129	16	)	)	PUNCT
iajs-450	129	17	29,2(pg	29,2(pg	NUM
iajs-450	129	18	by	by	ADP
iajs-450	129	19	transforming	transform	VERB
iajs-450	129	20	each	each	DET
iajs-450	129	21	point	point	NOUN
iajs-450	129	22	to	to	ADP
iajs-450	129	23	itself	itself	PRON
iajs-450	129	24	.	.	PUNCT
iajs-450	130	1	these	these	DET
iajs-450	130	2	points	point	NOUN
iajs-450	130	3	are	be	AUX
iajs-450	130	4	exactly	exactly	ADV
iajs-450	130	5	the	the	DET
iajs-450	130	6	following	follow	VERB
iajs-450	130	7	:	:	PUNCT
iajs-450	130	8	,	,	PUNCT
iajs-450	130	9	1)};p(0	1)};p(0	NUM
iajs-450	130	10	,	,	PUNCT
iajs-450	130	11	{	{	PUNCT
iajs-450	130	12	8	8	NUM
iajs-450	130	13	244	244	NUM
iajs-450	130	14	v	v	NOUN
iajs-450	130	15	,	,	PUNCT
iajs-450	130	16	0)};1	0)};1	PRON
iajs-450	130	17	p(1,{790	p(1,{790	NOUN
iajs-450	130	18			NOUN
iajs-450	130	19	,	,	PUNCT
iajs-450	130	20	1,1)};p	1,1)};p	NUM
iajs-450	130	21	(	(	PUNCT
iajs-450	130	22	{	{	PUNCT
iajs-450	130	23	6	6	NUM
iajs-450	130	24	659	659	NUM
iajs-450	130	25	v	v	NOUN
iajs-450	130	26	,	,	PUNCT
iajs-450	130	27	1)};p(1	1)};p(1	NUM
iajs-450	130	28	,	,	PUNCT
iajs-450	130	29	{	{	PUNCT
iajs-450	130	30	16	16	NUM
iajs-450	130	31	72	72	NUM
iajs-450	130	32	v	v	NOUN
iajs-450	130	33	table	table	NOUN
iajs-450	130	34	3	3	NUM
iajs-450	130	35	:	:	PUNCT
iajs-450	130	36	points	point	NOUN
iajs-450	130	37	of	of	ADP
iajs-450	130	38	index	index	NOUN
iajs-450	130	39	zero	zero	NUM
iajs-450	130	40	fixed	fix	VERB
iajs-450	130	41	by	by	ADP
iajs-450	130	42	elements	element	NOUN
iajs-450	130	43	of	of	ADP
iajs-450	130	44	5d	5d	NUM
iajs-450	130	45	in	in	ADP
iajs-450	130	46	)	)	PUNCT
iajs-450	130	47	29,2(pg	29,2(pg	NUM
iajs-450	130	48	}	}	PUNCT
iajs-450	130	49	,	,	PUNCT
iajs-450	130	50	,	,	PUNCT
iajs-450	130	51	,	,	PUNCT
iajs-450	130	52	,	,	PUNCT
iajs-450	130	53	{	{	PUNCT
iajs-450	130	54	\	\	PROPN
iajs-450	130	55	54321	54321	NUM
iajs-450	130	56	pppppi	pppppi	NOUN
iajs-450	130	57	}	}	PUNCT
iajs-450	130	58	,	,	PUNCT
iajs-450	130	59	1),p(,1),,0p(,1),,p(,,1)p(0,,p(1,0,0){\	1),p(,1),,0p(,1),,p(,,1)p(0,,p(1,0,0){\	PROPN
iajs-450	130	60	222222221722	222222221722	NUM
iajs-450	130	61	244	244	NUM
iajs-450	130	62	νννννν	νννννν	NOUN
iajs-450	130	63	r	r	NOUN
iajs-450	130	64	1	1	NUM
iajs-450	130	65	}	}	PUNCT
iajs-450	130	66	,	,	PUNCT
iajs-450	130	67	1,1)0p(,1),,p(,0,1),1p(,,1),p(,,1,0)p({\	1,1)0p(,1),,p(,0,1),1p(,,1),p(,,1,0)p({\	NUM
iajs-450	130	68	2727162214	2727162214	NUM
iajs-450	130	69	790	790	NUM
iajs-450	130	70	ννωων	ννωων	NOUN
iajs-450	130	71	rs	rs	NOUN
iajs-450	130	72	2	2	NUM
iajs-450	130	73	}	}	PUNCT
iajs-450	130	74	,	,	PUNCT
iajs-450	130	75	1),p(,1),1,p(,1),,p(,,1)0,p(,p(0,1,0){\	1),p(,1),1,p(,1),,p(,,1)0,p(,p(0,1,0){\	NUM
iajs-450	130	76	101616161616	101616161616	NUM
iajs-450	130	77	659	659	NUM
iajs-450	130	78	νννννν	νννννν	NOUN
iajs-450	130	79	2rs	2rs	ADJ
iajs-450	130	80	3	3	NUM
iajs-450	130	81	}	}	PUNCT
iajs-450	130	82	,	,	PUNCT
iajs-450	130	83	1,1)p(,1,0),p(,1),,1p(,,1),p(,,0,1)0p({\	1,1)p(,1,0),p(,1),,1p(,,1),p(,,0,1)0p({\	NUM
iajs-450	130	84	222261610	222261610	NUM
iajs-450	130	85	72	72	NUM
iajs-450	130	86	ννννν	ννννν	NOUN
iajs-450	130	87	3rs	3rs	NOUN
iajs-450	130	88	4	4	NUM
iajs-450	130	89	}	}	PUNCT
iajs-450	130	90	,	,	PUNCT
iajs-450	130	91	0,1)p(,1),,p(,1,0),p(,,1),0p(,,1)1,1p({\	0,1)p(,1),,p(,1,0),p(,,1),0p(,,1)1,1p({\	NUM
iajs-450	130	92	81722616	81722616	NUM
iajs-450	130	93	422	422	NUM
iajs-450	130	94	ννννν	ννννν	NOUN
iajs-450	130	95	4rs	4rs	NOUN
iajs-450	130	96	5	5	NUM
iajs-450	130	97	6	6	NUM
iajs-450	130	98	.	.	PUNCT
iajs-450	131	1	these	these	DET
iajs-450	131	2	additional	additional	ADJ
iajs-450	131	3	points	point	NOUN
iajs-450	131	4	to	to	ADP
iajs-450	131	5	the	the	DET
iajs-450	131	6	lines	line	NOUN
iajs-450	131	7	are	be	AUX
iajs-450	131	8	exactly	exactly	ADV
iajs-450	131	9	the	the	DET
iajs-450	131	10	diagonal	diagonal	ADJ
iajs-450	131	11	points	point	NOUN
iajs-450	131	12	of	of	ADP
iajs-450	131	13	5	5	NUM
iajs-450	131	14	-	-	PUNCT
iajs-450	131	15	arc	arc	NOUN
iajs-450	131	16	10a	10a	NOUN
iajs-450	131	17	.	.	PUNCT
iajs-450	132	1	7	7	X
iajs-450	132	2	.	.	X
iajs-450	132	3	the	the	DET
iajs-450	132	4	other	other	ADJ
iajs-450	132	5	four	four	NUM
iajs-450	132	6	projectivities	projectivitie	NOUN
iajs-450	132	7	fix	fix	VERB
iajs-450	132	8	only	only	ADV
iajs-450	132	9	one	one	NUM
iajs-450	132	10	point	point	NOUN
iajs-450	132	11	)	)	PUNCT
iajs-450	133	1	1,,(p	1,,(p	NUM
iajs-450	133	2	2216	2216	NUM
iajs-450	133	3	vv	vv	NOUN
iajs-450	133	4	which	which	PRON
iajs-450	133	5	is	be	AUX
iajs-450	133	6	the	the	DET
iajs-450	133	7	point	point	NOUN
iajs-450	133	8	intersection	intersection	NOUN
iajs-450	133	9	of	of	ADP
iajs-450	133	10	the	the	DET
iajs-450	133	11	five	five	NUM
iajs-450	133	12	lines	line	NOUN
iajs-450	133	13	244	244	NUM
iajs-450	133	14	,	,	PUNCT
iajs-450	133	15	790	790	NUM
iajs-450	133	16	,	,	PUNCT
iajs-450	133	17	659	659	NUM
iajs-450	133	18	,	,	PUNCT
iajs-450	133	19	72	72	NUM
iajs-450	133	20	,	,	PUNCT
iajs-450	133	21	422	422	NUM
iajs-450	133	22	.	.	PUNCT
iajs-450	134	1	(	(	PUNCT
iajs-450	134	2	ii	ii	NOUN
iajs-450	134	3	)	)	PUNCT
iajs-450	134	4	when	when	SCONJ
iajs-450	134	5	31	31	NUM
iajs-450	134	6	=	=	NOUN
iajs-450	134	7	q	q	NOUN
iajs-450	134	8	.	.	PUNCT
iajs-450	135	1	from	from	ADP
iajs-450	135	2	table	table	NOUN
iajs-450	135	3	2	2	NUM
iajs-450	135	4	,	,	PUNCT
iajs-450	135	5	the	the	DET
iajs-450	135	6	dihedral	dihedral	ADJ
iajs-450	135	7	group	group	NOUN
iajs-450	135	8	5d	5d	PROPN
iajs-450	135	9	generated	generate	VERB
iajs-450	135	10	by	by	ADP
iajs-450	135	11			PROPN
iajs-450	135	12			PROPN
iajs-450	135	13			PROPN
iajs-450	135	14			PROPN
iajs-450	135	15			PROPN
iajs-450	135	16			ADJ
iajs-450	135	17			ADJ
iajs-450	135	18			ADJ
iajs-450	135	19			NUM
iajs-450	135	20			NOUN
iajs-450	135	21	=	=	NOUN
iajs-450	135	22	′	′	NOUN
iajs-450	136	1			PROPN
iajs-450	136	2			PROPN
iajs-450	136	3			PROPN
iajs-450	136	4			PROPN
iajs-450	136	5			PROPN
iajs-450	136	6			ADJ
iajs-450	136	7			ADJ
iajs-450	136	8			ADJ
iajs-450	136	9			NUM
iajs-450	136	10			NOUN
iajs-450	136	11	=	=	NOUN
iajs-450	136	12	′	′	NOUN
iajs-450	136	13	111	111	NUM
iajs-450	136	14	00	00	NUM
iajs-450	136	15	,	,	PUNCT
iajs-450	136	16	111	111	NUM
iajs-450	136	17	00	00	NUM
iajs-450	136	18	151119	151119	NUM
iajs-450	136	19	7	7	NUM
iajs-450	136	20	151119	151119	NUM
iajs-450	136	21	26	26	NUM
iajs-450	136	22	ωωω	ωωω	NOUN
iajs-450	136	23	ω	ω	PROPN
iajs-450	136	24	ωωω	ωωω	PROPN
iajs-450	136	25	ω	ω	PROPN
iajs-450	136	26	sr	sr	PROPN
iajs-450	136	27	,	,	PUNCT
iajs-450	136	28	0,1)}.p	0,1)}.p	PROPN
iajs-450	136	29	(	(	PUNCT
iajs-450	136	30	{	{	PUNCT
iajs-450	136	31	22	22	NUM
iajs-450	136	32	422	422	NUM
iajs-450	136	33	v	v	NOUN
iajs-450	136	34	416	416	NUM
iajs-450	136	35	|	|	ADV
iajs-450	136	36	mathematics	mathematic	NOUN
iajs-450	136	37	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	PROPN
iajs-450	136	38	�	�	PROPN
iajs-450	136	39	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	NUM
iajs-450	136	40	:	:	PUNCT
iajs-450	136	41	a@âig@ú‹	a@âig@ú‹	PROPN
iajs-450	137	1	©	©	PROPN
iajs-450	137	2	@ü‹1a26@@öü»€a@i3@‚b«@h2013	@ü‹1a26@@öü»€a@i3@‚b«@h2013	PROPN
iajs-450	137	3	ibn	ibn	PROPN
iajs-450	137	4	al	al	PROPN
iajs-450	137	5	-	-	PUNCT
iajs-450	137	6	haitham	haitham	PROPN
iajs-450	137	7	jour	jour	X
iajs-450	137	8	.	.	PROPN
iajs-450	138	1	for	for	ADP
iajs-450	138	2	pure	pure	ADJ
iajs-450	138	3	&	&	CCONJ
iajs-450	138	4	appl	appl	PROPN
iajs-450	138	5	.	.	PUNCT
iajs-450	139	1	sci	sci	PROPN
iajs-450	139	2	.	.	PUNCT
iajs-450	139	3	vol	vol	NOUN
iajs-450	139	4	.	.	PROPN
iajs-450	140	1	26	26	NUM
iajs-450	140	2	(	(	PUNCT
iajs-450	140	3	3	3	NUM
iajs-450	140	4	)	)	PUNCT
iajs-450	140	5	2013	2013	NUM
iajs-450	140	6	is	be	AUX
iajs-450	140	7	the	the	DET
iajs-450	140	8	stabilizer	stabilizer	NOUN
iajs-450	140	9	group	group	NOUN
iajs-450	140	10	of	of	ADP
iajs-450	140	11	the	the	DET
iajs-450	140	12	5	5	NUM
iajs-450	140	13	-arc	-arc	PUNCT
iajs-450	140	14	11a′	11a′	NUM
iajs-450	140	15	.	.	PUNCT
iajs-450	141	1	the	the	DET
iajs-450	141	2	effects	effect	NOUN
iajs-450	141	3	of	of	ADP
iajs-450	141	4	the	the	DET
iajs-450	141	5	group	group	NOUN
iajs-450	141	6	5d	5d	PROPN
iajs-450	141	7	on	on	ADP
iajs-450	141	8	the	the	DET
iajs-450	141	9	projective	projective	ADJ
iajs-450	141	10	plane	plane	NOUN
iajs-450	141	11	)	)	PUNCT
iajs-450	141	12	31,2(pg	31,2(pg	NUM
iajs-450	141	13	are	be	AUX
iajs-450	141	14	given	give	VERB
iajs-450	141	15	below	below	ADV
iajs-450	141	16	.	.	PUNCT
iajs-450	142	1	1	1	X
iajs-450	142	2	.	.	X
iajs-450	142	3	the	the	DET
iajs-450	142	4	group	group	NOUN
iajs-450	142	5	5d	5d	PROPN
iajs-450	142	6	fixes	fix	VERB
iajs-450	142	7	the	the	DET
iajs-450	142	8	conic	conic	ADJ
iajs-450	142	9	11ac	11ac	NOUN
iajs-450	142	10	′	′	NUM
iajs-450	142	11	.	.	PUNCT
iajs-450	143	1	2	2	X
iajs-450	143	2	.	.	X
iajs-450	143	3	the	the	DET
iajs-450	143	4	group	group	NOUN
iajs-450	143	5	5d	5d	PROPN
iajs-450	143	6	acts	act	VERB
iajs-450	143	7	transitively	transitively	NOUN
iajs-450	143	8	on	on	ADP
iajs-450	143	9	11a′	11a′	NUM
iajs-450	143	10	since	since	SCONJ
iajs-450	143	11	10	10	NUM
iajs-450	143	12	u),u	u),u	PROPN
iajs-450	143	13	(	(	PUNCT
iajs-450	143	14	sr	sr	PUNCT
iajs-450	144	1	′′	′′	PROPN
iajs-450	144	2	,	,	PUNCT
iajs-450	144	3	2	2	NUM
iajs-450	144	4	3	3	NUM
iajs-450	144	5	0	0	NUM
iajs-450	144	6	u),u	u),u	PROPN
iajs-450	144	7	(	(	PUNCT
iajs-450	144	8	sr	sr	PUNCT
iajs-450	144	9	′′	′′	PROPN
iajs-450	144	10	,	,	PUNCT
iajs-450	144	11	u),u	u),u	PROPN
iajs-450	144	12	(	(	PUNCT
iajs-450	144	13	4	4	NUM
iajs-450	144	14	0	0	NUM
iajs-450	144	15	sr	sr	PUNCT
iajs-450	145	1	′′	′′	PROPN
iajs-450	145	2	,	,	PUNCT
iajs-450	145	3	,	,	PUNCT
iajs-450	145	4	1),p(),u	1),p(),u	NUM
iajs-450	145	5	(	(	PUNCT
iajs-450	145	6	2742	2742	NUM
iajs-450	145	7	0	0	NUM
iajs-450	145	8	ωωs′	ωωs′	PROPN
iajs-450	145	9	.	.	PUNCT
iajs-450	146	1	3	3	X
iajs-450	146	2	.	.	X
iajs-450	146	3	each	each	PRON
iajs-450	146	4	of	of	ADP
iajs-450	146	5	the	the	DET
iajs-450	146	6	five	five	NUM
iajs-450	146	7	projectivities	projectivitie	NOUN
iajs-450	146	8	432	432	NUM
iajs-450	146	9	,	,	PUNCT
iajs-450	146	10	,	,	PUNCT
iajs-450	146	11	,	,	PUNCT
iajs-450	146	12	,	,	PUNCT
iajs-450	146	13	srsrsrsrr	srsrsrsrr	VERB
iajs-450	146	14	′′′′′′′′′	′′′′′′′′′	PROPN
iajs-450	146	15	fixes	fix	VERB
iajs-450	146	16	27	27	NUM
iajs-450	146	17	points	point	NOUN
iajs-450	146	18	amongst	amongst	ADP
iajs-450	146	19	the	the	DET
iajs-450	146	20	703	703	NUM
iajs-450	146	21	points	point	NOUN
iajs-450	146	22	of	of	ADP
iajs-450	146	23	index	index	NOUN
iajs-450	146	24	zero	zero	NUM
iajs-450	146	25	by	by	ADP
iajs-450	146	26	transforming	transform	VERB
iajs-450	146	27	each	each	DET
iajs-450	146	28	point	point	NOUN
iajs-450	146	29	to	to	ADP
iajs-450	146	30	itself	itself	PRON
iajs-450	146	31	.	.	PUNCT
iajs-450	147	1	4	4	X
iajs-450	147	2	.	.	X
iajs-450	147	3	each	each	PRON
iajs-450	147	4	of	of	ADP
iajs-450	147	5	these	these	DET
iajs-450	147	6	27	27	NUM
iajs-450	147	7	points	point	NOUN
iajs-450	147	8	lies	lie	VERB
iajs-450	147	9	on	on	ADP
iajs-450	147	10	a	a	DET
iajs-450	147	11	line	line	NOUN
iajs-450	147	12	which	which	PRON
iajs-450	147	13	is	be	AUX
iajs-450	147	14	a	a	DET
iajs-450	147	15	unisecant	unisecant	ADJ
iajs-450	147	16	to	to	ADP
iajs-450	147	17	11a′	11a′	NUM
iajs-450	147	18	and	and	CCONJ
iajs-450	147	19	a	a	DET
iajs-450	147	20	bisecant	bisecant	NOUN
iajs-450	147	21	of	of	ADP
iajs-450	147	22	the	the	DET
iajs-450	147	23	conic	conic	ADJ
iajs-450	147	24	}	}	PUNCT
iajs-450	147	25	f	f	PROPN
iajs-450	147	26	|t)),9(15),77(p({1817	|t)),9(15),77(p({1817	NOUN
iajs-450	147	27	*	*	PUNCT
iajs-450	147	28	31	31	NUM
iajs-450	147	29	2	2	NUM
iajs-450	147	30	21201011	21201011	NUM
iajs-450	147	31	∈−−−−=−+=′	∈−−−−=−+=′	ADP
iajs-450	147	32	ttttxxxxxxca	ttttxxxxxxca	PROPN
iajs-450	147	33	.	.	PUNCT
iajs-450	148	1	these	these	DET
iajs-450	148	2	lines	line	NOUN
iajs-450	148	3	are	be	AUX
iajs-450	148	4	)	)	PUNCT
iajs-450	148	5	;	;	PUNCT
iajs-450	148	6	v(19	v(19	NOUN
iajs-450	148	7	12643	12643	NUM
iajs-450	148	8	xx	xx	NUM
iajs-450	148	9	−=′	−=′	PROPN
iajs-450	148	10	)	)	PUNCT
iajs-450	148	11	;	;	PUNCT
iajs-450	148	12	2v(5	2v(5	NUM
iajs-450	148	13	10927	10927	NUM
iajs-450	148	14	xx	xx	NUM
iajs-450	148	15	−=′	−=′	PROPN
iajs-450	148	16	)	)	PUNCT
iajs-450	148	17	;	;	PUNCT
iajs-450	148	18	11v	11v	NUM
iajs-450	148	19	(	(	PUNCT
iajs-450	148	20	2029	2029	NUM
iajs-450	148	21	xx	xx	NUM
iajs-450	149	1	+	+	ADJ
iajs-450	149	2	=	=	ADJ
iajs-450	149	3	′	′	ADJ
iajs-450	149	4	)	)	PUNCT
iajs-450	149	5	;	;	PUNCT
iajs-450	149	6	1911v	1911v	NUM
iajs-450	149	7	(	(	PUNCT
iajs-450	149	8	210900	210900	NUM
iajs-450	149	9	xxx	xxx	X
iajs-450	150	1	+	+	ADJ
iajs-450	150	2	+	+	ADJ
iajs-450	150	3	=	=	ADJ
iajs-450	150	4	′	′	ADJ
iajs-450	150	5	)	)	PUNCT
iajs-450	150	6	.v	.v	PROPN
iajs-450	150	7	(	(	PUNCT
iajs-450	150	8	210757	210757	NUM
iajs-450	150	9	xxx	xxx	NOUN
iajs-450	150	10	−−=′	−−=′	VERB
iajs-450	150	11	table	table	NOUN
iajs-450	150	12	4	4	NUM
iajs-450	150	13	:	:	PUNCT
iajs-450	150	14	points	point	NOUN
iajs-450	150	15	of	of	ADP
iajs-450	150	16	index	index	NOUN
iajs-450	150	17	zero	zero	NUM
iajs-450	150	18	fixed	fix	VERB
iajs-450	150	19	by	by	ADP
iajs-450	150	20	elements	element	NOUN
iajs-450	150	21	of	of	ADP
iajs-450	150	22	5d	5d	NUM
iajs-450	150	23	in	in	ADP
iajs-450	150	24	)	)	PUNCT
iajs-450	150	25	31,2(pg	31,2(pg	NUM
iajs-450	150	26	}	}	PUNCT
iajs-450	150	27	,	,	PUNCT
iajs-450	150	28	,	,	PUNCT
iajs-450	150	29	,	,	PUNCT
iajs-450	150	30	,	,	PUNCT
iajs-450	150	31	{	{	PUNCT
iajs-450	150	32	\	\	PROPN
iajs-450	150	33	54321	54321	NUM
iajs-450	150	34	pppppi′	pppppi′	PROPN
iajs-450	150	35	}	}	PUNCT
iajs-450	150	36	,	,	PUNCT
iajs-450	150	37	1)p(1,,1),,p(,1),,p(,,1)p(0,,p(1,0,0){\	1)p(1,,1),,p(,1),,p(,,1)p(0,,p(1,0,0){\	NUM
iajs-450	150	38	4412444	4412444	NUM
iajs-450	150	39	643	643	NUM
iajs-450	150	40	ωωωωωω′	ωωωωωω′	NOUN
iajs-450	150	41	r	r	NOUN
iajs-450	150	42	′	′	NOUN
iajs-450	150	43	1	1	NUM
iajs-450	150	44	}	}	PUNCT
iajs-450	150	45	,	,	PUNCT
iajs-450	150	46	1,1)p(,1),,1p(,0),1,p(,,1),p(,p(0,0,1){\	1,1)p(,1),,1p(,0),1,p(,,1),p(,p(0,0,1){\	NUM
iajs-450	150	47	42641014	42641014	NUM
iajs-450	150	48	927	927	NUM
iajs-450	150	49	ωωωωω′	ωωωωω′	PROPN
iajs-450	150	50	sr	sr	PROPN
iajs-450	151	1	′′	′′	PROPN
iajs-450	151	2	2	2	NUM
iajs-450	151	3	}	}	PUNCT
iajs-450	151	4	,	,	PUNCT
iajs-450	151	5	0,1)p(,1),,p(,1),1,p(,,1),p(,p(0,1,0){\	0,1)p(,1),,p(,1),1,p(,,1),p(,p(0,1,0){\	PROPN
iajs-450	151	6	8268888	8268888	NUM
iajs-450	151	7	29	29	NUM
iajs-450	151	8	ωωωωωω′	ωωωωωω′	NOUN
iajs-450	151	9	2sr	2sr	NOUN
iajs-450	152	1	′′	′′	NOUN
iajs-450	152	2	3	3	NUM
iajs-450	152	3	}	}	PUNCT
iajs-450	152	4	,	,	PUNCT
iajs-450	152	5	1)p(0,,0,1),p(,1),,p(,,1)1,1p(,,1,0)p({\	1)p(0,,0,1),p(,1),,p(,,1)1,1p(,,1,0)p({\	NUM
iajs-450	152	6	26192048	26192048	NUM
iajs-450	152	7	900	900	NUM
iajs-450	152	8	ωωωωω′	ωωωωω′	PROPN
iajs-450	152	9	3sr	3sr	NOUN
iajs-450	152	10	′′	′′	NOUN
iajs-450	152	11	4	4	NUM
iajs-450	152	12	}	}	PUNCT
iajs-450	152	13	,	,	PUNCT
iajs-450	152	14	1,1)p(,1,0),1p(,0,1),1p(,,1),0p(,,1),p({\	1,1)p(,1,0),1p(,0,1),1p(,,1),0p(,,1),p({\	NUM
iajs-450	152	15	2415264	2415264	NUM
iajs-450	152	16	757	757	NUM
iajs-450	152	17	ωωωω′	ωωωω′	NOUN
iajs-450	152	18	4sr	4sr	NOUN
iajs-450	152	19	′′	′′	PROPN
iajs-450	152	20	5	5	NUM
iajs-450	152	21	5	5	NUM
iajs-450	152	22	.	.	PUNCT
iajs-450	153	1	each	each	PRON
iajs-450	153	2	of	of	ADP
iajs-450	153	3	the	the	DET
iajs-450	153	4	five	five	NUM
iajs-450	153	5	projectivities	projectivitie	NOUN
iajs-450	153	6	432	432	NUM
iajs-450	153	7	,	,	PUNCT
iajs-450	153	8	,	,	PUNCT
iajs-450	153	9	,	,	PUNCT
iajs-450	153	10	,	,	PUNCT
iajs-450	153	11	srsrsrsrr	srsrsrsrr	VERB
iajs-450	153	12	′′′′′′′′′	′′′′′′′′′	PROPN
iajs-450	153	13	fixes	fix	VERB
iajs-450	153	14	33	33	NUM
iajs-450	153	15	points	point	NOUN
iajs-450	153	16	of	of	ADP
iajs-450	153	17	)	)	PUNCT
iajs-450	153	18	31,2(pg	31,2(pg	NUM
iajs-450	153	19	by	by	ADP
iajs-450	153	20	transforming	transform	VERB
iajs-450	153	21	each	each	DET
iajs-450	153	22	point	point	NOUN
iajs-450	153	23	to	to	ADP
iajs-450	153	24	itself	itself	PRON
iajs-450	153	25	.	.	PUNCT
iajs-450	154	1	these	these	DET
iajs-450	154	2	points	point	NOUN
iajs-450	154	3	are	be	AUX
iajs-450	154	4	exactly	exactly	ADV
iajs-450	154	5	the	the	DET
iajs-450	154	6	following	follow	VERB
iajs-450	154	7	:	:	PUNCT
iajs-450	154	8	,	,	PUNCT
iajs-450	154	9	1)};p(1	1)};p(1	NUM
iajs-450	154	10	,	,	PUNCT
iajs-450	154	11	{	{	PUNCT
iajs-450	154	12	22	22	NUM
iajs-450	154	13	643	643	NUM
iajs-450	154	14	ω′	ω′	NUM
iajs-450	154	15	,	,	PUNCT
iajs-450	154	16	0)};1	0)};1	NUM
iajs-450	154	17	,	,	PUNCT
iajs-450	154	18	p	p	X
iajs-450	154	19	(	(	PUNCT
iajs-450	154	20	{	{	PUNCT
iajs-450	154	21	19	19	NUM
iajs-450	154	22	927	927	NUM
iajs-450	154	23	ω′	ω′	NUM
iajs-450	154	24	,	,	PUNCT
iajs-450	154	25	1)};,p	1)};,p	NUM
iajs-450	154	26	(	(	PUNCT
iajs-450	154	27	{	{	PUNCT
iajs-450	154	28	2626	2626	NUM
iajs-450	154	29	29	29	NUM
iajs-450	154	30	ωω′	ωω′	NUM
iajs-450	154	31	,	,	PUNCT
iajs-450	154	32	0,1)};p	0,1)};p	NUM
iajs-450	154	33	(	(	PUNCT
iajs-450	154	34	{	{	PUNCT
iajs-450	154	35	4	4	NUM
iajs-450	154	36	900	900	NUM
iajs-450	154	37	ω′	ω′	NUM
iajs-450	154	38	,	,	PUNCT
iajs-450	154	39	1,1)}.0p({757	1,1)}.0p({757	PROPN
iajs-450	154	40	′	′	ADP
iajs-450	154	41	417	417	NUM
iajs-450	154	42	|	|	ADV
iajs-450	154	43	mathematics	mathematic	NOUN
iajs-450	154	44	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	PROPN
iajs-450	154	45	�	�	PROPN
iajs-450	154	46	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	NUM
iajs-450	154	47	:	:	PUNCT
iajs-450	154	48	a@âig@ú‹	a@âig@ú‹	PROPN
iajs-450	154	49	©	©	PROPN
iajs-450	154	50	@ü‹1a26@@öü»€a@i3@‚b«@h2013	@ü‹1a26@@öü»€a@i3@‚b«@h2013	PROPN
iajs-450	154	51	ibn	ibn	PROPN
iajs-450	154	52	al	al	PROPN
iajs-450	154	53	-	-	PUNCT
iajs-450	154	54	haitham	haitham	PROPN
iajs-450	154	55	jour	jour	X
iajs-450	154	56	.	.	PROPN
iajs-450	155	1	for	for	ADP
iajs-450	155	2	pure	pure	ADJ
iajs-450	155	3	&	&	CCONJ
iajs-450	155	4	appl	appl	PROPN
iajs-450	155	5	.	.	PUNCT
iajs-450	156	1	sci	sci	PROPN
iajs-450	156	2	.	.	PUNCT
iajs-450	156	3	vol	vol	NOUN
iajs-450	156	4	.	.	PROPN
iajs-450	157	1	26	26	NUM
iajs-450	157	2	(	(	PUNCT
iajs-450	157	3	3	3	NUM
iajs-450	157	4	)	)	PUNCT
iajs-450	157	5	2013	2013	NUM
iajs-450	157	6	6	6	NUM
iajs-450	157	7	.	.	PUNCT
iajs-450	158	1	these	these	DET
iajs-450	158	2	additional	additional	ADJ
iajs-450	158	3	points	point	NOUN
iajs-450	158	4	to	to	ADP
iajs-450	158	5	the	the	DET
iajs-450	158	6	lines	line	NOUN
iajs-450	158	7	are	be	AUX
iajs-450	158	8	exactly	exactly	ADV
iajs-450	158	9	the	the	DET
iajs-450	158	10	diagonal	diagonal	ADJ
iajs-450	158	11	points	point	NOUN
iajs-450	158	12	of	of	ADP
iajs-450	158	13	5	5	NUM
iajs-450	158	14	-	-	PUNCT
iajs-450	158	15	arc	arc	NOUN
iajs-450	158	16	11a′	11a′	NUM
iajs-450	158	17	.	.	PUNCT
iajs-450	159	1	7	7	X
iajs-450	159	2	.	.	X
iajs-450	159	3	the	the	DET
iajs-450	159	4	other	other	ADJ
iajs-450	159	5	four	four	NUM
iajs-450	159	6	projectivities	projectivitie	NOUN
iajs-450	159	7	fix	fix	VERB
iajs-450	159	8	three	three	NUM
iajs-450	159	9	points	point	NOUN
iajs-450	159	10	,	,	PUNCT
iajs-450	159	11	1),p	1),p	NUM
iajs-450	159	12	(	(	PUNCT
iajs-450	159	13	2927	2927	NUM
iajs-450	159	14	ωω	ωω	ADP
iajs-450	159	15	,	,	PUNCT
iajs-450	159	16	,	,	PUNCT
iajs-450	159	17	1),p	1),p	X
iajs-450	159	18	(	(	PUNCT
iajs-450	159	19	233	233	NUM
iajs-450	159	20	ωω	ωω	ADP
iajs-450	159	21	,	,	PUNCT
iajs-450	159	22	,	,	PUNCT
iajs-450	159	23	1),p	1),p	X
iajs-450	159	24	(	(	PUNCT
iajs-450	159	25	48	48	NUM
iajs-450	159	26	ωω	ωω	PART
iajs-450	159	27	which	which	PRON
iajs-450	159	28	,	,	PUNCT
iajs-450	159	29	1),p	1),p	X
iajs-450	159	30	(	(	PUNCT
iajs-450	159	31	48	48	NUM
iajs-450	159	32	ωω	ωω	VERB
iajs-450	159	33	is	be	AUX
iajs-450	159	34	the	the	DET
iajs-450	159	35	intersection	intersection	NOUN
iajs-450	159	36	point	point	NOUN
iajs-450	159	37	of	of	ADP
iajs-450	159	38	the	the	DET
iajs-450	159	39	five	five	NUM
iajs-450	159	40	lines	line	NOUN
iajs-450	159	41	643′	643′	NUM
iajs-450	159	42	,	,	PUNCT
iajs-450	159	43	927′	927′	NOUN
iajs-450	159	44	,	,	PUNCT
iajs-450	159	45	29′	29′	PROPN
iajs-450	159	46	,	,	PUNCT
iajs-450	159	47	900′	900′	NUM
iajs-450	159	48	,	,	PUNCT
iajs-450	159	49	757′	757′	NOUN
iajs-450	159	50	.	.	PUNCT
iajs-450	160	1	unique	unique	ADJ
iajs-450	160	2	inequivalent	inequivalent	NOUN
iajs-450	160	3	arc	arc	NOUN
iajs-450	160	4	of	of	ADP
iajs-450	160	5	degree	degree	NOUN
iajs-450	160	6	six	six	NUM
iajs-450	160	7	with	with	ADP
iajs-450	160	8	stabilizer	stabilizer	NOUN
iajs-450	160	9	of	of	ADP
iajs-450	160	10	type	type	NOUN
iajs-450	160	11	5a	5a	NUM
iajs-450	160	12	in	in	ADP
iajs-450	160	13	this	this	DET
iajs-450	160	14	section	section	NOUN
iajs-450	160	15	,	,	PUNCT
iajs-450	160	16	the	the	DET
iajs-450	160	17	unique	unique	ADJ
iajs-450	160	18	6	6	NUM
iajs-450	160	19	-	-	PUNCT
iajs-450	160	20	arc	arc	NOUN
iajs-450	160	21	κ	κ	NOUN
iajs-450	160	22	through	through	ADP
iajs-450	160	23	the	the	DET
iajs-450	160	24	frame	frame	NOUN
iajs-450	160	25	which	which	PRON
iajs-450	160	26	has	have	VERB
iajs-450	160	27	a	a	DET
iajs-450	160	28	stabilizer	stabilizer	NOUN
iajs-450	160	29	group	group	NOUN
iajs-450	160	30	)	)	PUNCT
iajs-450	160	31	(	(	PUNCT
iajs-450	160	32	kg	kg	NOUN
iajs-450	160	33	isomorphic	isomorphic	ADJ
iajs-450	160	34	to	to	ADP
iajs-450	160	35	5a	5a	NUM
iajs-450	160	36	is	be	AUX
iajs-450	160	37	found	find	VERB
iajs-450	160	38	.	.	PUNCT
iajs-450	161	1	also	also	ADV
iajs-450	161	2	,	,	PUNCT
iajs-450	161	3	the	the	DET
iajs-450	161	4	effect	effect	NOUN
iajs-450	161	5	of	of	ADP
iajs-450	161	6	5a	5a	NUM
iajs-450	161	7	on	on	ADP
iajs-450	161	8	the	the	DET
iajs-450	161	9	31,29),,2	31,29),,2	PROPN
iajs-450	161	10	(	(	PUNCT
iajs-450	161	11	=	=	NOUN
iajs-450	161	12	qqpg	qqpg	NOUN
iajs-450	161	13	is	be	AUX
iajs-450	161	14	discussed	discuss	VERB
iajs-450	161	15	.	.	PUNCT
iajs-450	162	1	let	let	VERB
iajs-450	162	2	)	)	PUNCT
iajs-450	162	3	}	}	PUNCT
iajs-450	162	4	.1,,(p),1,,(p	.1,,(p),1,,(p	PROPN
iajs-450	162	5	,	,	PUNCT
iajs-450	162	6	u	u	NOUN
iajs-450	162	7	,	,	PUNCT
iajs-450	162	8	u	u	NOUN
iajs-450	162	9	,	,	PUNCT
iajs-450	162	10	u	u	NOUN
iajs-450	162	11	,	,	PUNCT
iajs-450	162	12	u	u	NOUN
iajs-450	162	13	{	{	PUNCT
iajs-450	162	14	654231201	654231201	NUM
iajs-450	162	15	dcpbapppppk	dcpbapppppk	ADJ
iajs-450	162	16	=	=	NOUN
iajs-450	162	17	=	=	SYM
iajs-450	162	18	=	=	SYM
iajs-450	162	19	=	=	SYM
iajs-450	162	20	=	=	SYM
iajs-450	162	21	=	=	NOUN
iajs-450	162	22	=	=	SYM
iajs-450	162	23	there	there	PRON
iajs-450	162	24	are	be	VERB
iajs-450	162	25	fifteen	fifteen	NUM
iajs-450	162	26	ways	way	NOUN
iajs-450	162	27	of	of	ADP
iajs-450	162	28	choosing	choose	VERB
iajs-450	162	29	three	three	NUM
iajs-450	162	30	bisecants	bisecant	NOUN
iajs-450	162	31	no	no	DET
iajs-450	162	32	two	two	NUM
iajs-450	162	33	of	of	ADP
iajs-450	162	34	which	which	PRON
iajs-450	162	35	intersect	intersect	ADJ
iajs-450	162	36	on	on	ADP
iajs-450	162	37	κ	κ	PROPN
iajs-450	162	38	.	.	PUNCT
iajs-450	163	1	these	these	DET
iajs-450	163	2	three	three	NUM
iajs-450	163	3	bisecants	bisecant	NOUN
iajs-450	163	4	form	form	VERB
iajs-450	163	5	either	either	CCONJ
iajs-450	163	6	a	a	DET
iajs-450	163	7	triangle	triangle	NOUN
iajs-450	163	8	or	or	CCONJ
iajs-450	163	9	will	will	AUX
iajs-450	163	10	intersect	intersect	VERB
iajs-450	163	11	at	at	ADP
iajs-450	163	12	a	a	DET
iajs-450	163	13	b	b	PROPN
iajs-450	163	14	-point	-point	NOUN
iajs-450	163	15	.	.	PUNCT
iajs-450	164	1	(	(	PUNCT
iajs-450	164	2	i	i	NOUN
iajs-450	164	3	)	)	PUNCT
iajs-450	165	1	when	when	SCONJ
iajs-450	165	2	29	29	NUM
iajs-450	165	3	=	=	NOUN
iajs-450	165	4	q	q	NOUN
iajs-450	165	5	.	.	PUNCT
iajs-450	166	1	from	from	ADP
iajs-450	166	2	the	the	DET
iajs-450	166	3	5	5	NUM
iajs-450	166	4	-	-	PUNCT
iajs-450	166	5	arc	arc	NOUN
iajs-450	166	6	10a	10a	NOUN
iajs-450	166	7	,	,	PUNCT
iajs-450	166	8	an	an	DET
iajs-450	166	9	arc	arc	NOUN
iajs-450	166	10	of	of	ADP
iajs-450	166	11	degree	degree	NOUN
iajs-450	166	12	six	six	NUM
iajs-450	166	13	29β	29β	NOUN
iajs-450	166	14	is	be	AUX
iajs-450	166	15	constructed	construct	VERB
iajs-450	166	16	by	by	ADP
iajs-450	166	17	adding	add	VERB
iajs-450	166	18	)	)	PUNCT
iajs-450	166	19	1,,(p	1,,(p	NUM
iajs-450	166	20	814	814	NUM
iajs-450	166	21	vv	vv	NOUN
iajs-450	166	22	of	of	ADP
iajs-450	166	23	index	index	NOUN
iajs-450	166	24	zero	zero	NUM
iajs-450	166	25	;	;	PUNCT
iajs-450	166	26	that	that	PRON
iajs-450	166	27	is	be	AUX
iajs-450	166	28	,	,	PUNCT
iajs-450	166	29	)	)	PUNCT
iajs-450	166	30	}	}	PUNCT
iajs-450	166	31	.1,,(p	.1,,(p	PUNCT
iajs-450	166	32	{	{	PUNCT
iajs-450	166	33	814	814	NUM
iajs-450	166	34	1029	1029	NUM
iajs-450	166	35	vva	vva	PROPN
iajs-450	166	36	=β	=β	PROPN
iajs-450	166	37	this	this	DET
iajs-450	166	38	arc	arc	NOUN
iajs-450	166	39	has	have	VERB
iajs-450	166	40	the	the	DET
iajs-450	166	41	following	follow	VERB
iajs-450	166	42	properties	property	NOUN
iajs-450	166	43	:	:	PUNCT
iajs-450	166	44	1this	1this	NUM
iajs-450	166	45	arc	arc	NOUN
iajs-450	166	46	has	have	VERB
iajs-450	166	47	parameters	parameter	NOUN
iajs-450	166	48	10	10	NUM
iajs-450	166	49	]	]	PUNCT
iajs-450	166	50	.	.	PUNCT
iajs-450	167	1	15	15	NUM
iajs-450	167	2	,	,	PUNCT
iajs-450	167	3	360	360	NUM
iajs-450	167	4	,	,	PUNCT
iajs-450	167	5	480	480	NUM
iajs-450	167	6	,	,	PUNCT
iajs-450	167	7	[	[	X
iajs-450	167	8	]	]	X
iajs-450	167	9	,	,	PUNCT
iajs-450	167	10	,	,	PUNCT
iajs-450	167	11	,	,	PUNCT
iajs-450	167	12	[	[	PUNCT
iajs-450	167	13	3210	3210	NUM
iajs-450	167	14	=	=	SYM
iajs-450	167	15	cccc	cccc	NOUN
iajs-450	167	16	since	since	SCONJ
iajs-450	167	17	00	00	NUM
iajs-450	167	18	≠c	≠c	NOUN
iajs-450	167	19	,	,	PUNCT
iajs-450	167	20	so	so	CCONJ
iajs-450	167	21	29β	29β	NOUN
iajs-450	167	22	is	be	AUX
iajs-450	167	23	not	not	PART
iajs-450	167	24	complete	complete	ADJ
iajs-450	167	25	arc	arc	NOUN
iajs-450	167	26	.	.	PUNCT
iajs-450	168	1	2the	2the	NUM
iajs-450	168	2	stabilizer	stabilizer	NOUN
iajs-450	168	3	group	group	NOUN
iajs-450	168	4	of	of	ADP
iajs-450	168	5	29β	29β	NOUN
iajs-450	168	6	is	be	AUX
iajs-450	168	7	of	of	ADP
iajs-450	168	8	type	type	NOUN
iajs-450	168	9	5a	5a	NUM
iajs-450	168	10	as	as	ADP
iajs-450	168	11	given	give	VERB
iajs-450	168	12	below	below	ADP
iajs-450	168	13	1)(|	1)(|	NUM
iajs-450	168	14	,	,	PUNCT
iajs-450	168	15	)	)	PUNCT
iajs-450	168	16	(	(	PUNCT
iajs-450	168	17	532	532	NUM
iajs-450	168	18	29	29	NUM
iajs-450	168	19	=	=	SYM
iajs-450	168	20	=	=	SYM
iajs-450	168	21	=	=	SYM
iajs-450	168	22	=	=	X
iajs-450	168	23	ghhghgg	ghhghgg	NOUN
iajs-450	168	24	β	β	NOUN
iajs-450	168	25	,	,	PUNCT
iajs-450	168	26	where	where	SCONJ
iajs-450	168	27			PROPN
iajs-450	168	28			PROPN
iajs-450	168	29			PROPN
iajs-450	168	30			PROPN
iajs-450	168	31			PROPN
iajs-450	168	32			ADJ
iajs-450	168	33			ADJ
iajs-450	168	34			ADJ
iajs-450	168	35			NUM
iajs-450	168	36			NOUN
iajs-450	168	37	=	=	PUNCT
iajs-450	169	1			PROPN
iajs-450	169	2			PROPN
iajs-450	169	3			PROPN
iajs-450	169	4			PROPN
iajs-450	169	5			PROPN
iajs-450	169	6			ADJ
iajs-450	169	7			ADJ
iajs-450	169	8			ADJ
iajs-450	169	9			NUM
iajs-450	169	10			NOUN
iajs-450	169	11	=	=	SYM
iajs-450	169	12	00	00	NUM
iajs-450	169	13	100	100	NUM
iajs-450	169	14	00	00	NUM
iajs-450	169	15	,	,	PUNCT
iajs-450	169	16	111	111	NUM
iajs-450	169	17	00	00	NUM
iajs-450	169	18	00	00	NUM
iajs-450	169	19	16	16	NUM
iajs-450	169	20	22	22	NUM
iajs-450	169	21	14	14	NUM
iajs-450	169	22	14	14	NUM
iajs-450	169	23	v	v	NUM
iajs-450	169	24	v	v	ADP
iajs-450	169	25	hv	hv	NOUN
iajs-450	169	26	v	v	ADP
iajs-450	169	27	g	g	NOUN
iajs-450	169	28	.	.	PUNCT
iajs-450	170	1	3the	3the	DET
iajs-450	170	2	group	group	NOUN
iajs-450	170	3	)	)	PUNCT
iajs-450	170	4	(	(	PUNCT
iajs-450	170	5	29βg	29βg	NOUN
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iajs-450	170	7	a	a	DET
iajs-450	170	8	subgroup	subgroup	NOUN
iajs-450	170	9	of	of	ADP
iajs-450	170	10	type	type	NOUN
iajs-450	170	11	5d	5d	PROPN
iajs-450	170	12	generated	generate	VERB
iajs-450	170	13	by	by	ADP
iajs-450	170	14	21,αα	21,αα	NUM
iajs-450	170	15	fixes	fix	NOUN
iajs-450	170	16	the	the	DET
iajs-450	170	17	conic	conic	ADJ
iajs-450	170	18	}	}	PUNCT
iajs-450	170	19	f	f	PROPN
iajs-450	170	20	|)9),13(1),p(4({65	|)9),13(1),p(4({65	X
iajs-450	170	21	*	*	PROPN
iajs-450	170	22	29	29	NUM
iajs-450	170	23	2	2	NUM
iajs-450	170	24	21201010	21201010	NUM
iajs-450	170	25	∈−+−+=−+=	∈−+−+=−+=	ADJ
iajs-450	170	26	tttttxxxxxxca	tttttxxxxxxca	NOUN
iajs-450	170	27	,	,	PUNCT
iajs-450	170	28	where	where	SCONJ
iajs-450	170	29	.1	.1	NOUN
iajs-450	170	30	,	,	PUNCT
iajs-450	170	31	00	00	NUM
iajs-450	170	32	111	111	NUM
iajs-450	170	33	00	00	NUM
iajs-450	170	34	,	,	PUNCT
iajs-450	170	35	00	00	NUM
iajs-450	170	36	00	00	NUM
iajs-450	170	37	00	00	NUM
iajs-450	170	38	5	5	NUM
iajs-450	170	39	2	2	NUM
iajs-450	170	40	2	2	NUM
iajs-450	170	41	1	1	NUM
iajs-450	170	42	2	2	NUM
iajs-450	170	43	8	8	NUM
iajs-450	170	44	2	2	NUM
iajs-450	170	45	2	2	NUM
iajs-450	170	46	14	14	NUM
iajs-450	170	47	8	8	NUM
iajs-450	170	48	1	1	NUM
iajs-450	170	49	=	=	NOUN
iajs-450	170	50	=	=	SYM
iajs-450	170	51			PROPN
iajs-450	170	52			PROPN
iajs-450	170	53			PROPN
iajs-450	170	54			PROPN
iajs-450	170	55			PROPN
iajs-450	170	56			ADJ
iajs-450	170	57			ADJ
iajs-450	170	58			ADJ
iajs-450	170	59			NUM
iajs-450	170	60			NOUN
iajs-450	170	61	=	=	PUNCT
iajs-450	170	62			PROPN
iajs-450	170	63			PROPN
iajs-450	170	64			PROPN
iajs-450	170	65			PROPN
iajs-450	170	66			PROPN
iajs-450	170	67			ADJ
iajs-450	170	68			ADJ
iajs-450	170	69			ADJ
iajs-450	170	70			NUM
iajs-450	170	71			NOUN
iajs-450	170	72	=	=	SYM
iajs-450	170	73	αααα	αααα	NOUN
iajs-450	170	74	v	v	ADP
iajs-450	170	75	v	v	NUM
iajs-450	170	76	v	v	NUM
iajs-450	170	77	v	v	NUM
iajs-450	170	78	v	v	PRON
iajs-450	170	79	4	4	NUM
iajs-450	170	80	-	-	NUM
iajs-450	170	81	the	the	DET
iajs-450	170	82	calculation	calculation	NOUN
iajs-450	170	83	shows	show	VERB
iajs-450	170	84	that	that	SCONJ
iajs-450	170	85	the	the	DET
iajs-450	170	86	parameter	parameter	NOUN
iajs-450	170	87	103	103	NUM
iajs-450	170	88	=	=	NOUN
iajs-450	170	89	c	c	NOUN
iajs-450	170	90	,	,	PUNCT
iajs-450	170	91	so	so	CCONJ
iajs-450	170	92	29β	29β	NOUN
iajs-450	170	93	has	have	VERB
iajs-450	170	94	ten	ten	NUM
iajs-450	170	95	b	b	NOUN
iajs-450	170	96	-points	-point	NOUN
iajs-450	170	97	as	as	SCONJ
iajs-450	170	98	given	give	VERB
iajs-450	170	99	below	below	ADV
iajs-450	170	100	.	.	PUNCT
iajs-450	171	1	418	418	NUM
iajs-450	172	1	|	|	ADV
iajs-450	172	2	mathematics	mathematics	PROPN
iajs-450	172	3	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	PROPN
iajs-450	172	4	�	�	PROPN
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iajs-450	172	6	:	:	PUNCT
iajs-450	172	7	a@âig@ú‹	a@âig@ú‹	PROPN
iajs-450	173	1	©	©	PROPN
iajs-450	173	2	@ü‹1a26@@öü»€a@i3@‚b«@h2013	@ü‹1a26@@öü»€a@i3@‚b«@h2013	PROPN
iajs-450	173	3	ibn	ibn	PROPN
iajs-450	173	4	al	al	PROPN
iajs-450	173	5	-	-	PUNCT
iajs-450	173	6	haitham	haitham	PROPN
iajs-450	173	7	jour	jour	X
iajs-450	173	8	.	.	PROPN
iajs-450	174	1	for	for	ADP
iajs-450	174	2	pure	pure	ADJ
iajs-450	174	3	&	&	CCONJ
iajs-450	174	4	appl	appl	PROPN
iajs-450	174	5	.	.	PUNCT
iajs-450	175	1	sci	sci	PROPN
iajs-450	175	2	.	.	PUNCT
iajs-450	175	3	vol	vol	NOUN
iajs-450	175	4	.	.	PROPN
iajs-450	176	1	26	26	NUM
iajs-450	176	2	(	(	PUNCT
iajs-450	176	3	3	3	NUM
iajs-450	176	4	)	)	PUNCT
iajs-450	176	5	2013	2013	NUM
iajs-450	176	6	,	,	PUNCT
iajs-450	176	7	1).,p(342516(10),0,1);0p	1).,p(342516(10),0,1);0p	NUM
iajs-450	176	8	(	(	PUNCT
iajs-450	176	9	5623	5623	NUM
iajs-450	176	10	14(5	14(5	NUM
iajs-450	176	11	)	)	PUNCT
iajs-450	176	12	,	,	PUNCT
iajs-450	177	1	1);,1p(35	1);,1p(35	NUM
iajs-450	177	2	42	42	NUM
iajs-450	177	3	16(9),0,1);p	16(9),0,1);p	NUM
iajs-450	177	4	(	(	PUNCT
iajs-450	177	5	45	45	NUM
iajs-450	177	6	6	6	NUM
iajs-450	177	7	2	2	NUM
iajs-450	177	8	13(4	13(4	NUM
iajs-450	177	9	)	)	PUNCT
iajs-450	177	10	,	,	PUNCT
iajs-450	177	11	1);,p	1);,p	PROPN
iajs-450	177	12	(	(	PUNCT
iajs-450	177	13	342615(8),0,1);1p	342615(8),0,1);1p	NUM
iajs-450	177	14	(	(	PUNCT
iajs-450	177	15	562413(3	562413(3	NUM
iajs-450	177	16	)	)	PUNCT
iajs-450	177	17	,	,	PUNCT
iajs-450	177	18	1);,0p	1);,0p	NUM
iajs-450	177	19	(	(	PUNCT
iajs-450	177	20	462315(7),1,0);p	462315(7),1,0);p	NUM
iajs-450	177	21	(	(	PUNCT
iajs-450	177	22	4536	4536	NUM
iajs-450	177	23	12	12	NUM
iajs-450	177	24	(	(	PUNCT
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iajs-450	177	27	,	,	PUNCT
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iajs-450	177	31	(	(	PUNCT
iajs-450	177	32	6	6	NUM
iajs-450	177	33	4	4	NUM
iajs-450	177	34	35	35	NUM
iajs-450	177	35	2	2	NUM
iajs-450	177	36	1(1	1(1	NUM
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iajs-450	177	38	2222	2222	NUM
iajs-450	177	39	2216	2216	NUM
iajs-450	177	40	1616	1616	NUM
iajs-450	177	41	1622	1622	NUM
iajs-450	177	42	226	226	NUM
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iajs-450	177	44	vv	vv	INTJ
iajs-450	177	45	vv	vv	INTJ
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iajs-450	177	48	=	=	NOUN
iajs-450	177	49	⋅⋅=⋅⋅	⋅⋅=⋅⋅	NOUN
iajs-450	177	50	=	=	NOUN
iajs-450	177	51	⋅⋅=⋅⋅	⋅⋅=⋅⋅	ADP
iajs-450	177	52	=	=	NOUN
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iajs-450	177	54	=	=	NOUN
iajs-450	177	55	⋅⋅=⋅⋅	⋅⋅=⋅⋅	ADP
iajs-450	177	56	=	=	NOUN
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iajs-450	177	58	5	5	NUM
iajs-450	177	59	-	-	NUM
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iajs-450	177	61	set	set	NOUN
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iajs-450	177	64	(	(	PUNCT
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iajs-450	177	66	162216226	162216226	NUM
iajs-450	177	67	vvvvv	vvvvv	NOUN
iajs-450	177	68	=	=	NOUN
iajs-450	177	69	κ	κ	NOUN
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iajs-450	177	71	,	,	PUNCT
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iajs-450	177	73	(	(	PUNCT
iajs-450	177	74	2222221616	2222221616	NUM
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iajs-450	177	79	of	of	ADP
iajs-450	177	80	29β	29β	NOUN
iajs-450	177	81	form	form	VERB
iajs-450	177	82	a	a	DET
iajs-450	177	83	non	non	ADJ
iajs-450	177	84	complete	complete	ADJ
iajs-450	177	85	10	10	NUM
iajs-450	177	86	-	-	PUNCT
iajs-450	177	87	arc	arc	NOUN
iajs-450	177	88	with	with	ADP
iajs-450	177	89	parameters	parameter	NOUN
iajs-450	177	90	]	]	PUNCT
iajs-450	177	91	.6,15,90,210,480,60	.6,15,90,210,480,60	PROPN
iajs-450	178	1	[	[	X
iajs-450	178	2	]	]	X
iajs-450	178	3	,	,	PUNCT
iajs-450	178	4	,	,	PUNCT
iajs-450	178	5	,	,	PUNCT
iajs-450	178	6	,	,	PUNCT
iajs-450	178	7	,	,	PUNCT
iajs-450	178	8	[	[	PUNCT
iajs-450	178	9	543210	543210	NUM
iajs-450	178	10	=	=	PRON
iajs-450	178	11	cccccc	cccccc	VERB
iajs-450	178	12	the	the	DET
iajs-450	178	13	stabilizer	stabilizer	NOUN
iajs-450	178	14	group	group	NOUN
iajs-450	178	15	of	of	ADP
iajs-450	178	16	k	k	PROPN
iajs-450	178	17	is	be	AUX
iajs-450	178	18	isomorphic	isomorphic	ADJ
iajs-450	178	19	to	to	ADP
iajs-450	178	20	5a	5a	NUM
iajs-450	178	21	.	.	PUNCT
iajs-450	179	1	8	8	X
iajs-450	179	2	.	.	X
iajs-450	180	1	the	the	DET
iajs-450	180	2	remaining	remain	VERB
iajs-450	180	3	five	five	NUM
iajs-450	180	4	possibilities	possibility	NOUN
iajs-450	180	5	form	form	NOUN
iajs-450	180	6	triangles	triangle	NOUN
iajs-450	180	7	.	.	PUNCT
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iajs-450	181	2	table	table	NOUN
iajs-450	181	3	5	5	NUM
iajs-450	181	4	,	,	PUNCT
iajs-450	181	5	the	the	DET
iajs-450	181	6	sides	side	NOUN
iajs-450	181	7	of	of	ADP
iajs-450	181	8	these	these	DET
iajs-450	181	9	triangles	triangle	NOUN
iajs-450	181	10	and	and	CCONJ
iajs-450	181	11	their	their	PRON
iajs-450	181	12	vertices	vertex	NOUN
iajs-450	181	13	are	be	AUX
iajs-450	181	14	given	give	VERB
iajs-450	181	15	.	.	PUNCT
iajs-450	181	16	table	table	NOUN
iajs-450	181	17	5	5	NUM
iajs-450	181	18	:	:	SYM
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iajs-450	181	21	fixed	fix	VERB
iajs-450	181	22	by	by	ADP
iajs-450	181	23	5a	5a	NUM
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iajs-450	181	30	(	(	PUNCT
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iajs-450	181	33	(	(	PUNCT
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iajs-450	181	36	(	(	PUNCT
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iajs-450	181	39	(	(	PUNCT
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iajs-450	181	42	)	)	PUNCT
iajs-450	182	1	(	(	PUNCT
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iajs-450	182	4	xpp	xpp	NOUN
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iajs-450	182	10	xxpp	xxpp	NOUN
iajs-450	182	11	−=	−=	PROPN
iajs-450	182	12	)	)	PUNCT
iajs-450	182	13	(	(	PUNCT
iajs-450	182	14	v	v	NUM
iajs-450	182	15	21065	21065	NUM
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iajs-450	182	17	−+=	−+=	X
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iajs-450	182	25	5(v	5(v	NUM
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iajs-450	182	27	xxpp	xxpp	PROPN
iajs-450	182	28	−=	−=	PROPN
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iajs-450	182	30	56(v	56(v	NUM
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iajs-450	182	32	xxxpp	xxxpp	X
iajs-450	183	1	+	+	NOUN
iajs-450	183	2	−=	−=	NOUN
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iajs-450	183	4	(	(	PUNCT
iajs-450	183	5	v	v	ADP
iajs-450	183	6	2141	2141	NUM
iajs-450	183	7	xxpp	xxpp	NOUN
iajs-450	183	8	−=	−=	PROPN
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iajs-450	183	10	4(v	4(v	NUM
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iajs-450	184	7	−=	−=	PROPN
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iajs-450	185	13	−=	−=	PROPN
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iajs-450	185	18	−=	−=	PROPN
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iajs-450	186	1	56(v	56(v	NUM
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iajs-450	186	12	,	,	PUNCT
iajs-450	186	13	1),p	1),p	X
iajs-450	186	14	(	(	PUNCT
iajs-450	186	15	2727	2727	NUM
iajs-450	186	16	vv	vv	NOUN
iajs-450	186	17	,	,	PUNCT
iajs-450	186	18	0,1)p	0,1)p	PROPN
iajs-450	186	19	(	(	PUNCT
iajs-450	186	20	22v	22v	NOUN
iajs-450	186	21	,	,	PUNCT
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iajs-450	186	30	,	,	PUNCT
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iajs-450	186	32	16v	16v	NOUN
iajs-450	186	33	,	,	PUNCT
iajs-450	186	34	1,1)p	1,1)p	NUM
iajs-450	186	35	(	(	PUNCT
iajs-450	186	36	6v	6v	NOUN
iajs-450	186	37	,	,	PUNCT
iajs-450	186	38	1),p	1),p	NUM
iajs-450	186	39	(	(	PUNCT
iajs-450	186	40	1016	1016	NUM
iajs-450	186	41	vv	vv	NOUN
iajs-450	186	42	,	,	PUNCT
iajs-450	186	43	1),1p	1),1p	PROPN
iajs-450	186	44	(	(	PUNCT
iajs-450	186	45	16v	16v	NOUN
iajs-450	186	46	,	,	PUNCT
iajs-450	186	47	1),p	1),p	X
iajs-450	186	48	(	(	PUNCT
iajs-450	186	49	1610	1610	NUM
iajs-450	186	50	vv	vv	NOUN
iajs-450	186	51	,	,	PUNCT
iajs-450	186	52	1),1p	1),1p	PROPN
iajs-450	186	53	(	(	PUNCT
iajs-450	186	54	6v	6v	NOUN
iajs-450	186	55	,	,	PUNCT
iajs-450	186	56	1),0p	1),0p	PROPN
iajs-450	186	57	(	(	PUNCT
iajs-450	186	58	22v	22v	NOUN
iajs-450	186	59	,	,	PUNCT
iajs-450	186	60	1),(p	1),(p	NUM
iajs-450	186	61	2217	2217	NUM
iajs-450	186	62	vv	vv	NOUN
iajs-450	186	63	,	,	PUNCT
iajs-450	186	64	1),0p	1),0p	PROPN
iajs-450	186	65	(	(	PUNCT
iajs-450	186	66	8v	8v	NOUN
iajs-450	186	67	7let	7let	PROPN
iajs-450	186	68	}	}	PUNCT
iajs-450	186	69	viv	viv	PROPN
iajs-450	186	70	,	,	PUNCT
iajs-450	186	71	iii	iii	PROPN
iajs-450	186	72	,	,	PUNCT
iajs-450	186	73	ii	ii	PROPN
iajs-450	186	74	,	,	PUNCT
iajs-450	186	75	i,{=w	i,{=w	VERB
iajs-450	186	76	be	be	AUX
iajs-450	186	77	the	the	DET
iajs-450	186	78	set	set	NOUN
iajs-450	186	79	of	of	ADP
iajs-450	186	80	five	five	NUM
iajs-450	186	81	triangles	triangle	NOUN
iajs-450	186	82	in	in	ADP
iajs-450	186	83	table	table	NOUN
iajs-450	186	84	5	5	NUM
iajs-450	186	85	.	.	PUNCT
iajs-450	187	1	each	each	DET
iajs-450	187	2	elements	element	NOUN
iajs-450	187	3	of	of	ADP
iajs-450	187	4	the	the	DET
iajs-450	187	5	group	group	NOUN
iajs-450	187	6	5a≅	5a≅	NUM
iajs-450	187	7	)	)	PUNCT
iajs-450	187	8	(	(	PUNCT
iajs-450	187	9	29βg	29βg	ADJ
iajs-450	187	10	fixes	fix	VERB
iajs-450	187	11	the	the	DET
iajs-450	187	12	set	set	PROPN
iajs-450	187	13	w	w	PROPN
iajs-450	187	14	.	.	PUNCT
iajs-450	188	1	(	(	PUNCT
iajs-450	188	2	ii	ii	NOUN
iajs-450	188	3	)	)	PUNCT
iajs-450	188	4	when	when	SCONJ
iajs-450	188	5	31	31	NUM
iajs-450	188	6	=	=	NOUN
iajs-450	188	7	q	q	NOUN
iajs-450	188	8	.	.	PUNCT
iajs-450	189	1	from	from	ADP
iajs-450	189	2	the	the	DET
iajs-450	189	3	5	5	NUM
iajs-450	189	4	-	-	PUNCT
iajs-450	189	5	arc	arc	NOUN
iajs-450	189	6	11a′	11a′	NUM
iajs-450	189	7	,	,	PUNCT
iajs-450	189	8	an	an	DET
iajs-450	189	9	arc	arc	NOUN
iajs-450	189	10	of	of	ADP
iajs-450	189	11	degree	degree	NOUN
iajs-450	189	12	six	six	NUM
iajs-450	189	13	31β	31β	PROPN
iajs-450	189	14	is	be	AUX
iajs-450	189	15	constructed	construct	VERB
iajs-450	189	16	by	by	ADP
iajs-450	189	17	adding	add	VERB
iajs-450	189	18	,	,	PUNCT
iajs-450	189	19	1),p	1),p	PROPN
iajs-450	189	20	(	(	PUNCT
iajs-450	189	21	48	48	NUM
iajs-450	189	22	ωω	ωω	NOUN
iajs-450	189	23	of	of	ADP
iajs-450	189	24	index	index	NOUN
iajs-450	189	25	zero	zero	NUM
iajs-450	189	26	;	;	PUNCT
iajs-450	189	27	that	that	PRON
iajs-450	189	28	is	be	AUX
iajs-450	189	29	,	,	PUNCT
iajs-450	189	30	)	)	PUNCT
iajs-450	189	31	}	}	PUNCT
iajs-450	189	32	.1,,(p	.1,,(p	PUNCT
iajs-450	189	33	{	{	PUNCT
iajs-450	189	34	48	48	NUM
iajs-450	189	35	1131	1131	NUM
iajs-450	189	36	ωωβ	ωωβ	NOUN
iajs-450	189	37	a′=	a′=	PROPN
iajs-450	189	38	this	this	DET
iajs-450	189	39	arc	arc	NOUN
iajs-450	189	40	has	have	VERB
iajs-450	189	41	the	the	DET
iajs-450	189	42	following	follow	VERB
iajs-450	189	43	properties	property	NOUN
iajs-450	189	44	:	:	PUNCT
iajs-450	189	45	131β	131β	PROPN
iajs-450	189	46	has	have	VERB
iajs-450	189	47	parameters	parameter	NOUN
iajs-450	189	48	10	10	NUM
iajs-450	189	49	]	]	PUNCT
iajs-450	189	50	.	.	PUNCT
iajs-450	190	1	15	15	NUM
iajs-450	190	2	,	,	PUNCT
iajs-450	190	3	390	390	NUM
iajs-450	190	4	,	,	PUNCT
iajs-450	190	5	572	572	NUM
iajs-450	190	6	,	,	PUNCT
iajs-450	190	7	[	[	X
iajs-450	190	8	]	]	X
iajs-450	190	9	,	,	PUNCT
iajs-450	190	10	,	,	PUNCT
iajs-450	190	11	,	,	PUNCT
iajs-450	190	12	[	[	PUNCT
iajs-450	190	13	3210	3210	NUM
iajs-450	190	14	=	=	SYM
iajs-450	190	15	cccc	cccc	NOUN
iajs-450	190	16	since	since	SCONJ
iajs-450	190	17	00	00	NUM
iajs-450	190	18	≠c	≠c	NOUN
iajs-450	190	19	,	,	PUNCT
iajs-450	190	20	so	so	ADV
iajs-450	190	21	31β	31β	NUM
iajs-450	190	22	is	be	AUX
iajs-450	190	23	not	not	PART
iajs-450	190	24	complete	complete	ADJ
iajs-450	190	25	arc	arc	NOUN
iajs-450	190	26	.	.	PUNCT
iajs-450	191	1	2the	2the	NUM
iajs-450	191	2	stabilizer	stabilizer	NOUN
iajs-450	191	3	group	group	NOUN
iajs-450	191	4	of	of	ADP
iajs-450	191	5	31β	31β	NUM
iajs-450	191	6	is	be	AUX
iajs-450	191	7	of	of	ADP
iajs-450	191	8	type	type	NOUN
iajs-450	191	9	5a	5a	NUM
iajs-450	191	10	as	as	SCONJ
iajs-450	191	11	given	give	VERB
iajs-450	191	12	below	below	ADP
iajs-450	191	13	419	419	NUM
iajs-450	192	1	|	|	NOUN
iajs-450	192	2	mathematics	mathematic	NOUN
iajs-450	192	3	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	PROPN
iajs-450	192	4	�	�	PROPN
iajs-450	192	5	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	NUM
iajs-450	192	6	:	:	PUNCT
iajs-450	192	7	a@âig@ú‹	a@âig@ú‹	PROPN
iajs-450	193	1	©	©	PROPN
iajs-450	193	2	@ü‹1a26@@öü»€a@i3@‚b«@h2013	@ü‹1a26@@öü»€a@i3@‚b«@h2013	PROPN
iajs-450	193	3	ibn	ibn	PROPN
iajs-450	193	4	al	al	PROPN
iajs-450	193	5	-	-	PUNCT
iajs-450	193	6	haitham	haitham	PROPN
iajs-450	193	7	jour	jour	X
iajs-450	193	8	.	.	PROPN
iajs-450	194	1	for	for	ADP
iajs-450	194	2	pure	pure	ADJ
iajs-450	194	3	&	&	CCONJ
iajs-450	194	4	appl	appl	PROPN
iajs-450	194	5	.	.	PUNCT
iajs-450	195	1	sci	sci	PROPN
iajs-450	195	2	.	.	PUNCT
iajs-450	195	3	vol	vol	NOUN
iajs-450	195	4	.	.	PROPN
iajs-450	196	1	26	26	NUM
iajs-450	196	2	(	(	PUNCT
iajs-450	196	3	3	3	NUM
iajs-450	196	4	)	)	PUNCT
iajs-450	196	5	2013	2013	NUM
iajs-450	196	6	1)(|	1)(|	NUM
iajs-450	196	7	,	,	PUNCT
iajs-450	196	8	)	)	PUNCT
iajs-450	196	9	(	(	PUNCT
iajs-450	196	10	532	532	NUM
iajs-450	196	11	31	31	NUM
iajs-450	196	12	=	=	NUM
iajs-450	196	13	′′=′=′′′=	′′=′=′′′=	NOUN
iajs-450	196	14	hghghgg	hghghgg	NOUN
iajs-450	196	15	β	β	NOUN
iajs-450	196	16	,	,	PUNCT
iajs-450	196	17	where	where	SCONJ
iajs-450	196	18			PROPN
iajs-450	196	19			PROPN
iajs-450	196	20			PROPN
iajs-450	196	21			PROPN
iajs-450	196	22			PROPN
iajs-450	196	23			ADJ
iajs-450	196	24			ADJ
iajs-450	196	25			ADJ
iajs-450	196	26			NUM
iajs-450	196	27			NOUN
iajs-450	197	1	=	=	NOUN
iajs-450	197	2	′	′	NOUN
iajs-450	197	3			PROPN
iajs-450	197	4			PROPN
iajs-450	197	5			PROPN
iajs-450	197	6			PROPN
iajs-450	197	7			PROPN
iajs-450	197	8			ADJ
iajs-450	197	9			ADJ
iajs-450	197	10			ADJ
iajs-450	197	11			NUM
iajs-450	197	12			NOUN
iajs-450	197	13	=	=	NOUN
iajs-450	197	14	′	′	NUM
iajs-450	197	15	00	00	NUM
iajs-450	197	16	100	100	NUM
iajs-450	197	17	00	00	NUM
iajs-450	197	18	,	,	PUNCT
iajs-450	197	19	111	111	NUM
iajs-450	197	20	00	00	NUM
iajs-450	197	21	00	00	NUM
iajs-450	197	22	10	10	NUM
iajs-450	197	23	20	20	NUM
iajs-450	197	24	16	16	NUM
iajs-450	197	25	16	16	NUM
iajs-450	197	26	ω	ω	NUM
iajs-450	197	27	ω	ω	PROPN
iajs-450	197	28	ω	ω	PROPN
iajs-450	197	29	ω	ω	NUM
iajs-450	197	30	hg	hg	X
iajs-450	197	31	.	.	PUNCT
iajs-450	198	1	3	3	NUM
iajs-450	198	2	-	-	NUM
iajs-450	198	3	the	the	DET
iajs-450	198	4	identity	identity	NOUN
iajs-450	198	5	subgroup	subgroup	NOUN
iajs-450	198	6	of	of	ADP
iajs-450	198	7	the	the	DET
iajs-450	198	8	group	group	NOUN
iajs-450	198	9	)	)	PUNCT
iajs-450	198	10	(	(	PUNCT
iajs-450	198	11	31βg	31βg	NOUN
iajs-450	198	12	fixes	fix	VERB
iajs-450	198	13	the	the	DET
iajs-450	198	14	conic	conic	ADJ
iajs-450	198	15	212010	212010	NUM
iajs-450	198	16	1817	1817	NUM
iajs-450	198	17	11	11	NUM
iajs-450	198	18	xxxxxxca	xxxxxxca	NOUN
iajs-450	198	19	−+=′	−+=′	NOUN
iajs-450	198	20	.	.	PUNCT
iajs-450	199	1	4	4	NUM
iajs-450	199	2	-	-	NUM
iajs-450	199	3	the	the	DET
iajs-450	199	4	calculation	calculation	NOUN
iajs-450	199	5	show	show	VERB
iajs-450	199	6	that	that	SCONJ
iajs-450	199	7	the	the	DET
iajs-450	199	8	parameter	parameter	NOUN
iajs-450	199	9	103	103	NUM
iajs-450	199	10	=	=	NOUN
iajs-450	199	11	c	c	NOUN
iajs-450	199	12	,	,	PUNCT
iajs-450	199	13	so	so	ADV
iajs-450	199	14	31β	31β	NUM
iajs-450	199	15	has	have	VERB
iajs-450	199	16	ten	ten	NUM
iajs-450	199	17	b	b	NOUN
iajs-450	199	18	-points	-point	NOUN
iajs-450	199	19	as	as	SCONJ
iajs-450	199	20	given	give	VERB
iajs-450	199	21	below	below	ADV
iajs-450	199	22	.	.	PUNCT
iajs-450	200	1	,	,	PUNCT
iajs-450	200	2	1).,p(342516(10),1,1);p	1).,p(342516(10),1,1);p	NUM
iajs-450	200	3	(	(	PUNCT
iajs-450	200	4	3626	3626	NUM
iajs-450	200	5	14(5	14(5	NUM
iajs-450	200	6	)	)	PUNCT
iajs-450	200	7	,	,	PUNCT
iajs-450	200	8	1);,0p(45	1);,0p(45	NUM
iajs-450	200	9	32	32	NUM
iajs-450	200	10	16(9),0,1);p	16(9),0,1);p	NUM
iajs-450	200	11	(	(	PUNCT
iajs-450	200	12	45	45	NUM
iajs-450	200	13	6	6	NUM
iajs-450	200	14	2	2	NUM
iajs-450	200	15	13(4	13(4	NUM
iajs-450	200	16	)	)	PUNCT
iajs-450	200	17	,	,	PUNCT
iajs-450	200	18	1);,1p	1);,1p	NUM
iajs-450	200	19	(	(	PUNCT
iajs-450	200	20	362415(8),0,1);1p	362415(8),0,1);1p	NUM
iajs-450	200	21	(	(	PUNCT
iajs-450	200	22	562413(3	562413(3	NUM
iajs-450	200	23	)	)	PUNCT
iajs-450	200	24	,	,	PUNCT
iajs-450	200	25	1);,0p	1);,0p	NUM
iajs-450	200	26	(	(	PUNCT
iajs-450	200	27	462315(7),1,0);p	462315(7),1,0);p	NUM
iajs-450	200	28	(	(	PUNCT
iajs-450	200	29	4635	4635	NUM
iajs-450	200	30	12	12	NUM
iajs-450	200	31	(	(	PUNCT
iajs-450	200	32	2	2	NUM
iajs-450	200	33	)	)	PUNCT
iajs-450	200	34	,	,	PUNCT
iajs-450	200	35	1,1);p	1,1);p	NUM
iajs-450	200	36	(	(	PUNCT
iajs-450	200	37	352614)6(,1,0);1p	352614)6(,1,0);1p	NOUN
iajs-450	200	38	(	(	PUNCT
iajs-450	200	39	6	6	NUM
iajs-450	200	40	5	5	NUM
iajs-450	200	41	34	34	NUM
iajs-450	200	42	2	2	NUM
iajs-450	200	43	1(1	1(1	NUM
iajs-450	200	44	)	)	PUNCT
iajs-450	200	45	444	444	NUM
iajs-450	200	46	48	48	NUM
iajs-450	200	47	26	26	NUM
iajs-450	200	48	268	268	NUM
iajs-450	200	49	8	8	NUM
iajs-450	200	50	ωωω	ωωω	NOUN
iajs-450	200	51	ωω	ωω	ADP
iajs-450	200	52	ω	ω	PROPN
iajs-450	200	53	ωω	ωω	PROPN
iajs-450	200	54	ω	ω	PROPN
iajs-450	200	55	=	=	NOUN
iajs-450	200	56	⋅⋅=⋅⋅	⋅⋅=⋅⋅	ADP
iajs-450	200	57	=	=	NOUN
iajs-450	200	58	⋅⋅=⋅⋅	⋅⋅=⋅⋅	ADP
iajs-450	200	59	=	=	NOUN
iajs-450	200	60	⋅⋅=⋅⋅	⋅⋅=⋅⋅	ADP
iajs-450	200	61	=	=	NOUN
iajs-450	200	62	⋅⋅=⋅⋅	⋅⋅=⋅⋅	ADP
iajs-450	200	63	=	=	NOUN
iajs-450	200	64	⋅⋅=⋅⋅	⋅⋅=⋅⋅	PRON
iajs-450	200	65	5	5	NUM
iajs-450	200	66	-	-	NUM
iajs-450	200	67	the	the	DET
iajs-450	200	68	set	set	NOUN
iajs-450	200	69	,	,	PUNCT
iajs-450	200	70	1,1),p(,1,1),p(,0,1),p(,0,1),1p(,1,0),p(,1,0),1p	1,1),p(,1,1),p(,0,1),p(,0,1),1p(,1,0),p(,1,0),1p	NUM
iajs-450	200	71	(	(	PUNCT
iajs-450	200	72	{	{	PUNCT
iajs-450	200	73	8488	8488	NUM
iajs-450	200	74	ωωωω	ωωωω	NOUN
iajs-450	200	75	=	=	SYM
iajs-450	200	76	κ′	κ′	NOUN
iajs-450	200	77	}	}	PUNCT
iajs-450	200	78	,	,	PUNCT
iajs-450	200	79	1),p(,1),,0p(,1),,1p(,1),,0p	1),p(,1),,0p(,1),,1p(,1),,0p	NUM
iajs-450	200	80	(	(	PUNCT
iajs-450	200	81	4442626	4442626	NUM
iajs-450	200	82	ωωωωω	ωωωωω	NOUN
iajs-450	200	83	of	of	ADP
iajs-450	200	84	b	b	NOUN
iajs-450	200	85	-points	-point	NOUN
iajs-450	200	86	of	of	ADP
iajs-450	200	87	31β	31β	NUM
iajs-450	200	88	form	form	VERB
iajs-450	200	89	a	a	DET
iajs-450	200	90	non	non	ADJ
iajs-450	200	91	complete	complete	ADJ
iajs-450	200	92	10arc	10arc	NUM
iajs-450	200	93	with	with	ADP
iajs-450	200	94	parameters	parameter	NOUN
iajs-450	200	95	]	]	PUNCT
iajs-450	200	96	.6,15,90,210,480,60	.6,15,90,210,480,60	PROPN
iajs-450	201	1	[	[	X
iajs-450	201	2	]	]	X
iajs-450	201	3	,	,	PUNCT
iajs-450	201	4	,	,	PUNCT
iajs-450	201	5	,	,	PUNCT
iajs-450	201	6	,	,	PUNCT
iajs-450	201	7	,	,	PUNCT
iajs-450	201	8	[	[	PUNCT
iajs-450	201	9	543210	543210	NUM
iajs-450	201	10	=	=	PRON
iajs-450	201	11	cccccc	cccccc	VERB
iajs-450	201	12	the	the	DET
iajs-450	201	13	stabilizer	stabilizer	NOUN
iajs-450	201	14	group	group	NOUN
iajs-450	201	15	of	of	ADP
iajs-450	201	16	k′	k′	PROPN
iajs-450	201	17	is	be	AUX
iajs-450	201	18	isomorphic	isomorphic	ADJ
iajs-450	201	19	to	to	ADP
iajs-450	201	20	5a	5a	NUM
iajs-450	201	21	.	.	PUNCT
iajs-450	202	1	8	8	X
iajs-450	202	2	.	.	X
iajs-450	203	1	the	the	DET
iajs-450	203	2	remaining	remain	VERB
iajs-450	203	3	five	five	NUM
iajs-450	203	4	possibilities	possibility	NOUN
iajs-450	203	5	form	form	NOUN
iajs-450	203	6	triangles	triangle	NOUN
iajs-450	203	7	.	.	PUNCT
iajs-450	204	1	in	in	ADP
iajs-450	204	2	table	table	NOUN
iajs-450	204	3	6	6	NUM
iajs-450	204	4	,	,	PUNCT
iajs-450	204	5	the	the	DET
iajs-450	204	6	sides	side	NOUN
iajs-450	204	7	of	of	ADP
iajs-450	204	8	these	these	DET
iajs-450	204	9	triangles	triangle	NOUN
iajs-450	204	10	and	and	CCONJ
iajs-450	204	11	their	their	PRON
iajs-450	204	12	vertices	vertex	NOUN
iajs-450	204	13	are	be	AUX
iajs-450	204	14	given	give	VERB
iajs-450	204	15	.	.	PUNCT
iajs-450	204	16	table	table	NOUN
iajs-450	204	17	6	6	NUM
iajs-450	204	18	:	:	SYM
iajs-450	204	19	five	five	NUM
iajs-450	204	20	triangles	triangle	NOUN
iajs-450	204	21	fixed	fix	VERB
iajs-450	204	22	by	by	ADP
iajs-450	204	23	5a	5a	NUM
iajs-450	204	24	in	in	ADP
iajs-450	204	25	)	)	PUNCT
iajs-450	204	26	31,2(pg	31,2(pg	NUM
iajs-450	204	27	(	(	PUNCT
iajs-450	204	28	i	i	NOUN
iajs-450	204	29	)	)	PUNCT
iajs-450	204	30	(	(	PUNCT
iajs-450	204	31	ii	ii	NOUN
iajs-450	204	32	)	)	PUNCT
iajs-450	204	33	(	(	PUNCT
iajs-450	204	34	iii	iii	NOUN
iajs-450	204	35	)	)	PUNCT
iajs-450	204	36	(	(	PUNCT
iajs-450	204	37	iv	iv	X
iajs-450	204	38	)	)	PUNCT
iajs-450	204	39	(	(	PUNCT
iajs-450	204	40	v	v	NOUN
iajs-450	204	41	)	)	PUNCT
iajs-450	204	42	)	)	PUNCT
iajs-450	205	1	(	(	PUNCT
iajs-450	205	2	v	v	ADP
iajs-450	205	3	221	221	NUM
iajs-450	205	4	xpp	xpp	NOUN
iajs-450	205	5	=	=	SYM
iajs-450	205	6	)	)	PUNCT
iajs-450	205	7	12(v	12(v	PROPN
iajs-450	205	8	1063	1063	NUM
iajs-450	205	9	xxpp	xxpp	NOUN
iajs-450	205	10	+	+	PROPN
iajs-450	205	11	=	=	NOUN
iajs-450	205	12	)	)	PUNCT
iajs-450	205	13	1112(v	1112(v	NOUN
iajs-450	205	14	21054	21054	NUM
iajs-450	205	15	xxxpp	xxxpp	NOUN
iajs-450	206	1	+	+	NOUN
iajs-450	207	1	−=	−=	NOUN
iajs-450	207	2	)	)	PUNCT
iajs-450	207	3	(	(	PUNCT
iajs-450	207	4	v	v	NUM
iajs-450	207	5	131	131	NUM
iajs-450	207	6	xpp	xpp	NOUN
iajs-450	207	7	=	=	PUNCT
iajs-450	207	8	)	)	PUNCT
iajs-450	207	9	19(v	19(v	NUM
iajs-450	207	10	2052	2052	NUM
iajs-450	207	11	xxpp	xxpp	PROPN
iajs-450	207	12	−=	−=	PROPN
iajs-450	207	13	)	)	PUNCT
iajs-450	207	14	1911(v	1911(v	NOUN
iajs-450	207	15	21064	21064	NUM
iajs-450	207	16	xxxpp	xxxpp	VERB
iajs-450	208	1	+	+	PROPN
iajs-450	208	2	+	+	NOUN
iajs-450	208	3	=	=	SYM
iajs-450	208	4	)	)	PUNCT
iajs-450	208	5	(	(	PUNCT
iajs-450	208	6	v	v	ADP
iajs-450	208	7	2141	2141	NUM
iajs-450	208	8	xxpp	xxpp	NOUN
iajs-450	208	9	−=	−=	PROPN
iajs-450	208	10	)	)	PUNCT
iajs-450	208	11	(	(	PUNCT
iajs-450	208	12	v	v	NUM
iajs-450	208	13	033	033	NUM
iajs-450	208	14	xpp	xpp	PROPN
iajs-450	208	15	=	=	PUNCT
iajs-450	208	16	)	)	PUNCT
iajs-450	208	17	(	(	PUNCT
iajs-450	208	18	v	v	NUM
iajs-450	208	19	21065	21065	NUM
iajs-450	208	20	xxxpp	xxxpp	ADJ
iajs-450	208	21	−−=	−−=	PROPN
iajs-450	208	22	)	)	PUNCT
iajs-450	208	23	18(v	18(v	PROPN
iajs-450	208	24	1251	1251	NUM
iajs-450	208	25	xxpp	xxpp	PROPN
iajs-450	208	26	−=	−=	PROPN
iajs-450	208	27	)	)	PUNCT
iajs-450	208	28	20(v	20(v	PROPN
iajs-450	208	29	2062	2062	NUM
iajs-450	208	30	xxpp	xxpp	NOUN
iajs-450	208	31	−=	−=	PROPN
iajs-450	208	32	)	)	PUNCT
iajs-450	208	33	(	(	PUNCT
iajs-450	208	34	v	v	NOUN
iajs-450	208	35	1043	1043	NUM
iajs-450	208	36	xxpp	xxpp	NOUN
iajs-450	208	37	−=	−=	PROPN
iajs-450	208	38	)	)	PUNCT
iajs-450	208	39	19(v	19(v	NUM
iajs-450	208	40	1261	1261	NUM
iajs-450	208	41	xxpp	xxpp	NOUN
iajs-450	208	42	−=	−=	PROPN
iajs-450	208	43	)	)	PUNCT
iajs-450	208	44	(	(	PUNCT
iajs-450	208	45	v	v	ADP
iajs-450	208	46	2042	2042	NUM
iajs-450	208	47	xxpp	xxpp	NOUN
iajs-450	208	48	−=	−=	PROPN
iajs-450	208	49	)	)	PUNCT
iajs-450	208	50	11(v	11(v	PROPN
iajs-450	209	1	1053	1053	NUM
iajs-450	209	2	xxpp	xxpp	NOUN
iajs-450	210	1	+	+	PUNCT
iajs-450	210	2	=	=	SYM
iajs-450	210	3	420	420	NUM
iajs-450	210	4	|	|	NOUN
iajs-450	210	5	mathematics	mathematic	NOUN
iajs-450	210	6	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	PROPN
iajs-450	210	7	�	�	PROPN
iajs-450	210	8	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	NUM
iajs-450	210	9	:	:	PUNCT
iajs-450	210	10	a@âig@ú‹	a@âig@ú‹	PROPN
iajs-450	211	1	©	©	PROPN
iajs-450	211	2	@ü‹1a26@@öü»€a@i3@‚b«@h2013	@ü‹1a26@@öü»€a@i3@‚b«@h2013	PROPN
iajs-450	211	3	ibn	ibn	PROPN
iajs-450	211	4	al	al	PROPN
iajs-450	211	5	-	-	PUNCT
iajs-450	211	6	haitham	haitham	PROPN
iajs-450	211	7	jour	jour	X
iajs-450	211	8	.	.	PROPN
iajs-450	212	1	for	for	ADP
iajs-450	212	2	pure	pure	ADJ
iajs-450	212	3	&	&	CCONJ
iajs-450	212	4	appl	appl	PROPN
iajs-450	212	5	.	.	PUNCT
iajs-450	213	1	sci	sci	PROPN
iajs-450	213	2	.	.	PUNCT
iajs-450	213	3	vol	vol	NOUN
iajs-450	213	4	.	.	PROPN
iajs-450	214	1	26	26	NUM
iajs-450	214	2	(	(	PUNCT
iajs-450	214	3	3	3	NUM
iajs-450	214	4	)	)	PUNCT
iajs-450	214	5	2013	2013	NUM
iajs-450	214	6	,	,	PUNCT
iajs-450	214	7	1,0)p	1,0)p	NUM
iajs-450	214	8	(	(	PUNCT
iajs-450	214	9	4ω	4ω	NOUN
iajs-450	214	10	,	,	PUNCT
iajs-450	214	11	1)0,p	1)0,p	NUM
iajs-450	214	12	(	(	PUNCT
iajs-450	214	13	19ω	19ω	NOUN
iajs-450	214	14	,	,	PUNCT
iajs-450	214	15	1),p	1),p	X
iajs-450	214	16	(	(	PUNCT
iajs-450	214	17	1014	1014	NUM
iajs-450	214	18	ωω	ωω	ADP
iajs-450	214	19	,	,	PUNCT
iajs-450	214	20	0,1)p	0,1)p	PROPN
iajs-450	214	21	(	(	PUNCT
iajs-450	214	22	4ω	4ω	NOUN
iajs-450	214	23	,	,	PUNCT
iajs-450	214	24	1)0,p	1)0,p	NUM
iajs-450	214	25	(	(	PUNCT
iajs-450	214	26	19ω	19ω	NOUN
iajs-450	214	27	,	,	PUNCT
iajs-450	214	28	1),p	1),p	X
iajs-450	214	29	(	(	PUNCT
iajs-450	214	30	204	204	NUM
iajs-450	214	31	ωω	ωω	ADP
iajs-450	214	32	,	,	PUNCT
iajs-450	214	33	1,1)0(p	1,1)0(p	NUM
iajs-450	214	34	,	,	PUNCT
iajs-450	214	35	1,1)p	1,1)p	NUM
iajs-450	214	36	(	(	PUNCT
iajs-450	214	37	24ω	24ω	NOUN
iajs-450	214	38	,	,	PUNCT
iajs-450	214	39	1),0p	1),0p	PROPN
iajs-450	214	40	(	(	PUNCT
iajs-450	214	41	15ω	15ω	NUM
iajs-450	214	42	,	,	PUNCT
iajs-450	214	43	1),p	1),p	PROPN
iajs-450	214	44	(	(	PUNCT
iajs-450	214	45	268	268	NUM
iajs-450	214	46	ωω	ωω	ADP
iajs-450	214	47	,	,	PUNCT
iajs-450	214	48	1),p	1),p	PROPN
iajs-450	214	49	(	(	PUNCT
iajs-450	214	50	2626	2626	NUM
iajs-450	214	51	ωω	ωω	ADP
iajs-450	214	52	,	,	PUNCT
iajs-450	214	53	1),p	1),p	PROPN
iajs-450	214	54	(	(	PUNCT
iajs-450	214	55	88	88	NUM
iajs-450	214	56	ωω	ωω	ADP
iajs-450	214	57	,	,	PUNCT
iajs-450	214	58	1),1p	1),1p	PROPN
iajs-450	214	59	(	(	PUNCT
iajs-450	214	60	4ω	4ω	NOUN
iajs-450	214	61	,	,	PUNCT
iajs-450	214	62	1),(p	1),(p	NUM
iajs-450	214	63	412	412	NUM
iajs-450	214	64	ωω	ωω	ADP
iajs-450	214	65	,	,	PUNCT
iajs-450	214	66	1),1p	1),1p	PROPN
iajs-450	214	67	(	(	PUNCT
iajs-450	214	68	22ω	22ω	NOUN
iajs-450	214	69	9	9	NUM
iajs-450	214	70	.	.	X
iajs-450	215	1	let	let	VERB
iajs-450	215	2	}	}	PUNCT
iajs-450	215	3	viv	viv	PROPN
iajs-450	215	4	,	,	PUNCT
iajs-450	215	5	iii	iii	PROPN
iajs-450	215	6	,	,	PUNCT
iajs-450	215	7	ii	ii	PROPN
iajs-450	215	8	,	,	PUNCT
iajs-450	215	9	i,{=′w	i,{=′w	PROPN
iajs-450	215	10	be	be	AUX
iajs-450	215	11	the	the	DET
iajs-450	215	12	set	set	NOUN
iajs-450	215	13	of	of	ADP
iajs-450	215	14	five	five	NUM
iajs-450	215	15	triangles	triangle	NOUN
iajs-450	215	16	in	in	ADP
iajs-450	215	17	table	table	NOUN
iajs-450	215	18	6	6	NUM
iajs-450	215	19	.	.	PUNCT
iajs-450	216	1	each	each	DET
iajs-450	216	2	elements	element	NOUN
iajs-450	216	3	of	of	ADP
iajs-450	216	4	the	the	DET
iajs-450	216	5	group	group	NOUN
iajs-450	216	6	5a≅	5a≅	NUM
iajs-450	216	7	)	)	PUNCT
iajs-450	216	8	(	(	PUNCT
iajs-450	216	9	31βg	31βg	NOUN
iajs-450	216	10	fixes	fix	VERB
iajs-450	216	11	the	the	DET
iajs-450	216	12	set	set	NOUN
iajs-450	216	13	w	w	PROPN
iajs-450	216	14	′	′	NOUN
iajs-450	216	15	.	.	PUNCT
iajs-450	217	1	conclusion	conclusion	NOUN
iajs-450	217	2	1there	1there	NUM
iajs-450	217	3	is	be	AUX
iajs-450	217	4	an	an	DET
iajs-450	217	5	arc	arc	NOUN
iajs-450	217	6	of	of	ADP
iajs-450	217	7	degree	degree	NOUN
iajs-450	217	8	five	five	NUM
iajs-450	217	9	}	}	PUNCT
iajs-450	217	10	,	,	PUNCT
iajs-450	217	11	,	,	PUNCT
iajs-450	217	12	,	,	PUNCT
iajs-450	217	13	,	,	PUNCT
iajs-450	217	14	{	{	PUNCT
iajs-450	217	15	54321	54321	NUM
iajs-450	217	16	ppppp	ppppp	NOUN
iajs-450	217	17	=	=	SYM
iajs-450	217	18	ξ	ξ	X
iajs-450	217	19	which	which	PRON
iajs-450	217	20	has	have	VERB
iajs-450	217	21	stabilizer	stabilizer	NOUN
iajs-450	217	22	group	group	NOUN
iajs-450	217	23	)	)	PUNCT
iajs-450	217	24	(	(	PUNCT
iajs-450	217	25	ξg	ξg	NOUN
iajs-450	217	26	of	of	ADP
iajs-450	217	27	type	type	NOUN
iajs-450	217	28	5d	5d	NUM
iajs-450	217	29	.	.	PUNCT
iajs-450	218	1	2the	2the	NUM
iajs-450	218	2	pentastigm	pentastigm	NOUN
iajs-450	218	3	which	which	PRON
iajs-450	218	4	has	have	VERB
iajs-450	218	5	ξ	ξ	PROPN
iajs-450	218	6	as	as	ADP
iajs-450	218	7	a	a	DET
iajs-450	218	8	vertex	vertex	NOUN
iajs-450	218	9	has	have	AUX
iajs-450	218	10	collinear	collinear	VERB
iajs-450	218	11	diagonal	diagonal	ADJ
iajs-450	218	12	points	point	NOUN
iajs-450	218	13	.	.	PUNCT
iajs-450	219	1	3the	3the	DET
iajs-450	219	2	effect	effect	NOUN
iajs-450	219	3	of	of	ADP
iajs-450	219	4	the	the	DET
iajs-450	219	5	group	group	NOUN
iajs-450	219	6	)	)	PUNCT
iajs-450	219	7	(	(	PUNCT
iajs-450	219	8	ξg	ξg	NOUN
iajs-450	219	9	on	on	ADP
iajs-450	219	10	points	point	NOUN
iajs-450	219	11	of	of	ADP
iajs-450	219	12	31,29),,2	31,29),,2	PROPN
iajs-450	219	13	(	(	PUNCT
iajs-450	219	14	=	=	NOUN
iajs-450	219	15	qqpg	qqpg	NOUN
iajs-450	219	16	depends	depend	VERB
iajs-450	219	17	on	on	ADP
iajs-450	219	18	the	the	DET
iajs-450	219	19	order	order	NOUN
iajs-450	219	20	of	of	ADP
iajs-450	219	21	its	its	PRON
iajs-450	219	22	elements	element	NOUN
iajs-450	219	23	.	.	PUNCT
iajs-450	220	1	let	let	VERB
iajs-450	220	2	2	2	NUM
iajs-450	220	3	g	g	NOUN
iajs-450	220	4	be	be	AUX
iajs-450	220	5	the	the	DET
iajs-450	220	6	set	set	NOUN
iajs-450	220	7	of	of	ADP
iajs-450	220	8	five	five	NUM
iajs-450	220	9	elements	element	NOUN
iajs-450	220	10	of	of	ADP
iajs-450	220	11	)	)	PUNCT
iajs-450	220	12	(	(	PUNCT
iajs-450	220	13	ξg	ξg	NOUN
iajs-450	220	14	of	of	ADP
iajs-450	220	15	order	order	NOUN
iajs-450	220	16	two	two	NUM
iajs-450	220	17	and	and	CCONJ
iajs-450	220	18	5	5	NUM
iajs-450	220	19	g	g	NOUN
iajs-450	220	20	be	be	VERB
iajs-450	220	21	the	the	DET
iajs-450	220	22	set	set	NOUN
iajs-450	220	23	of	of	ADP
iajs-450	220	24	four	four	NUM
iajs-450	220	25	elements	element	NOUN
iajs-450	220	26	of	of	ADP
iajs-450	220	27	)	)	PUNCT
iajs-450	220	28	(	(	PUNCT
iajs-450	220	29	ξg	ξg	NOUN
iajs-450	220	30	of	of	ADP
iajs-450	220	31	order	order	NOUN
iajs-450	220	32	five	five	NUM
iajs-450	220	33	.	.	PUNCT
iajs-450	221	1	(	(	PUNCT
iajs-450	221	2	i	i	NOUN
iajs-450	221	3	)	)	PUNCT
iajs-450	221	4	each	each	DET
iajs-450	221	5	element	element	NOUN
iajs-450	221	6	of	of	ADP
iajs-450	221	7	2	2	NUM
iajs-450	221	8	g	g	NOUN
iajs-450	221	9	fixes	fix	NOUN
iajs-450	221	10	five	five	NUM
iajs-450	221	11	a	a	DET
iajs-450	221	12	subset	subset	NOUN
iajs-450	221	13	of	of	ADP
iajs-450	221	14	the	the	DET
iajs-450	221	15	plane	plane	NOUN
iajs-450	221	16	of	of	ADP
iajs-450	221	17	length	length	NOUN
iajs-450	221	18	2+q	2+q	NUM
iajs-450	221	19	by	by	ADP
iajs-450	221	20	sending	send	VERB
iajs-450	221	21	it	it	PRON
iajs-450	221	22	to	to	ADP
iajs-450	221	23	itself	itself	PRON
iajs-450	221	24	.	.	PUNCT
iajs-450	222	1	each	each	PRON
iajs-450	222	2	of	of	ADP
iajs-450	222	3	this	this	DET
iajs-450	222	4	set	set	NOUN
iajs-450	222	5	,	,	PUNCT
iajs-450	222	6	is	be	AUX
iajs-450	222	7	a	a	DET
iajs-450	222	8	line	line	NOUN
iajs-450	222	9	*	*	PUNCT
iajs-450	222	10	i	i	NOUN
iajs-450	222	11	with	with	ADP
iajs-450	222	12	extra	extra	ADJ
iajs-450	222	13	point	point	NOUN
iajs-450	222	14	*	*	PUNCT
iajs-450	222	15	ip	ip	INTJ
iajs-450	222	16	,	,	PUNCT
iajs-450	222	17	5,4,3,2,1	5,4,3,2,1	NUM
iajs-450	222	18	=	=	NOUN
iajs-450	222	19	i	i	NOUN
iajs-450	222	20	.	.	PUNCT
iajs-450	223	1	the	the	DET
iajs-450	223	2	five	five	NUM
iajs-450	223	3	extra	extra	ADJ
iajs-450	223	4	points	point	NOUN
iajs-450	223	5	ip′	ip′	NOUN
iajs-450	223	6	are	be	AUX
iajs-450	223	7	exactly	exactly	ADV
iajs-450	223	8	the	the	DET
iajs-450	223	9	diagonal	diagonal	ADJ
iajs-450	223	10	points	point	NOUN
iajs-450	223	11	of	of	ADP
iajs-450	223	12	ξ	ξ	PROPN
iajs-450	223	13	.	.	PUNCT
iajs-450	224	1	also	also	ADV
iajs-450	224	2	,	,	PUNCT
iajs-450	224	3	these	these	DET
iajs-450	224	4	lines	line	NOUN
iajs-450	224	5	are	be	AUX
iajs-450	224	6	the	the	DET
iajs-450	224	7	bisecant	bisecant	ADJ
iajs-450	224	8	to	to	ADP
iajs-450	224	9	the	the	DET
iajs-450	224	10	conic	conic	ADJ
iajs-450	224	11	ξc	ξc	NOUN
iajs-450	224	12	which	which	PRON
iajs-450	224	13	passes	pass	VERB
iajs-450	224	14	through	through	ADP
iajs-450	224	15	ξ	ξ	PROPN
iajs-450	224	16	and	and	CCONJ
iajs-450	224	17	unisecants	unisecant	NOUN
iajs-450	224	18	to	to	ADP
iajs-450	224	19	ξ	ξ	PROPN
iajs-450	224	20	.	.	PUNCT
iajs-450	225	1	(	(	PUNCT
iajs-450	225	2	ii	ii	NOUN
iajs-450	225	3	)	)	PUNCT
iajs-450	225	4	each	each	DET
iajs-450	225	5	element	element	NOUN
iajs-450	225	6	of	of	ADP
iajs-450	225	7	5	5	NUM
iajs-450	225	8	g	g	NOUN
iajs-450	225	9	fixes	fix	NOUN
iajs-450	225	10	a	a	DET
iajs-450	225	11	point	point	NOUN
iajs-450	225	12	∗p	∗p	NOUN
iajs-450	225	13	which	which	PRON
iajs-450	225	14	is	be	AUX
iajs-450	225	15	the	the	DET
iajs-450	225	16	intersection	intersection	NOUN
iajs-450	225	17	point	point	NOUN
iajs-450	225	18	of	of	ADP
iajs-450	225	19	the	the	DET
iajs-450	225	20	five	five	NUM
iajs-450	225	21	lines	line	NOUN
iajs-450	225	22	.5,4,3,2,1	.5,4,3,2,1	PUNCT
iajs-450	225	23	,	,	PUNCT
iajs-450	225	24	*	*	PUNCT
iajs-450	226	1	=	=	PUNCT
iajs-450	226	2	ii	ii	NOUN
iajs-450	226	3	4the	4the	NUM
iajs-450	226	4	unique	unique	ADJ
iajs-450	226	5	six	six	NUM
iajs-450	226	6	arc	arc	NOUN
iajs-450	226	7	with	with	ADP
iajs-450	226	8	stabilizer	stabilizer	NOUN
iajs-450	226	9	group	group	NOUN
iajs-450	226	10	of	of	ADP
iajs-450	226	11	type	type	NOUN
iajs-450	226	12	5a	5a	NUM
iajs-450	226	13	is	be	AUX
iajs-450	226	14	constructed	construct	VERB
iajs-450	226	15	by	by	ADP
iajs-450	226	16	adding	add	VERB
iajs-450	226	17	the	the	DET
iajs-450	226	18	point	point	NOUN
iajs-450	226	19	∗p	∗p	PROPN
iajs-450	226	20	to	to	ADP
iajs-450	226	21	ξ	ξ	PROPN
iajs-450	226	22	.	.	PUNCT
iajs-450	227	1	so	so	ADV
iajs-450	227	2	,	,	PUNCT
iajs-450	227	3	the	the	DET
iajs-450	227	4	following	follow	VERB
iajs-450	227	5	figure	figure	NOUN
iajs-450	227	6	is	be	AUX
iajs-450	227	7	fixed	fix	VERB
iajs-450	227	8	by	by	ADP
iajs-450	227	9	the	the	DET
iajs-450	227	10	group	group	NOUN
iajs-450	227	11	)	)	PUNCT
iajs-450	227	12	(	(	PUNCT
iajs-450	227	13	ξg	ξg	NOUN
iajs-450	227	14	.	.	PUNCT
iajs-450	228	1	421	421	NUM
iajs-450	229	1	|	|	ADV
iajs-450	229	2	mathematics	mathematics	PROPN
iajs-450	229	3	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	PROPN
iajs-450	229	4	�	�	PROPN
iajs-450	229	5	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	NUM
iajs-450	229	6	:	:	PUNCT
iajs-450	229	7	a@âig@ú‹	a@âig@ú‹	PROPN
iajs-450	230	1	©	©	PROPN
iajs-450	230	2	@ü‹1a26@@öü»€a@i3@‚b«@h2013	@ü‹1a26@@öü»€a@i3@‚b«@h2013	PROPN
iajs-450	230	3	ibn	ibn	PROPN
iajs-450	230	4	al	al	PROPN
iajs-450	230	5	-	-	PUNCT
iajs-450	230	6	haitham	haitham	PROPN
iajs-450	230	7	jour	jour	X
iajs-450	230	8	.	.	PROPN
iajs-450	231	1	for	for	ADP
iajs-450	231	2	pure	pure	ADJ
iajs-450	231	3	&	&	CCONJ
iajs-450	231	4	appl	appl	PROPN
iajs-450	231	5	.	.	PUNCT
iajs-450	232	1	sci	sci	PROPN
iajs-450	232	2	.	.	PUNCT
iajs-450	232	3	vol	vol	NOUN
iajs-450	232	4	.	.	PROPN
iajs-450	233	1	26	26	NUM
iajs-450	233	2	(	(	PUNCT
iajs-450	233	3	3	3	NUM
iajs-450	233	4	)	)	PUNCT
iajs-450	233	5	2013	2013	NUM
iajs-450	233	6	figure	figure	NOUN
iajs-450	233	7	1	1	NUM
iajs-450	233	8	.	.	PUNCT
iajs-450	234	1	according	accord	VERB
iajs-450	234	2	to	to	ADP
iajs-450	234	3	these	these	DET
iajs-450	234	4	results	result	NOUN
iajs-450	234	5	and	and	CCONJ
iajs-450	234	6	storm	storm	NOUN
iajs-450	234	7	and	and	CCONJ
iajs-450	234	8	maldeghem	maldeghem	NOUN
iajs-450	234	9	results	result	VERB
iajs-450	234	10	[	[	X
iajs-450	234	11	4	4	NUM
iajs-450	234	12	,	,	PUNCT
iajs-450	234	13	proposition	proposition	NOUN
iajs-450	234	14	12	12	NUM
iajs-450	234	15	]	]	PUNCT
iajs-450	234	16	the	the	DET
iajs-450	234	17	following	follow	VERB
iajs-450	234	18	conjecture	conjecture	NOUN
iajs-450	234	19	is	be	AUX
iajs-450	234	20	deduced	deduce	VERB
iajs-450	234	21	.	.	PUNCT
iajs-450	235	1	conjecture	conjecture	NOUN
iajs-450	235	2	:	:	PUNCT
iajs-450	235	3	in	in	ADP
iajs-450	235	4	)	)	PUNCT
iajs-450	235	5	(	(	PUNCT
iajs-450	235	6	2,qpg	2,qpg	NUM
iajs-450	235	7	,	,	PUNCT
iajs-450	235	8	when	when	SCONJ
iajs-450	235	9	1±≡q	1±≡q	NUM
iajs-450	235	10	)	)	PUNCT
iajs-450	235	11	10mod	10mod	NOUN
iajs-450	235	12	(	(	PUNCT
iajs-450	235	13	there	there	PRON
iajs-450	235	14	is	be	VERB
iajs-450	235	15	a	a	DET
iajs-450	235	16	unique	unique	ADJ
iajs-450	235	17	arc	arc	NOUN
iajs-450	235	18	of	of	ADP
iajs-450	235	19	degree	degree	NOUN
iajs-450	236	1	five	five	NUM
iajs-450	236	2	ξ	ξ	NOUN
iajs-450	236	3	fixed	fix	VERB
iajs-450	236	4	by	by	ADP
iajs-450	236	5	group	group	NOUN
iajs-450	236	6	)	)	PUNCT
iajs-450	236	7	(	(	PUNCT
iajs-450	236	8	ξg	ξg	NOUN
iajs-450	236	9	of	of	ADP
iajs-450	236	10	type	type	NOUN
iajs-450	236	11	5d	5d	PROPN
iajs-450	237	1	and	and	CCONJ
iajs-450	237	2	there	there	PRON
iajs-450	237	3	is	be	VERB
iajs-450	237	4	a	a	DET
iajs-450	237	5	unique	unique	ADJ
iajs-450	237	6	arc	arc	NOUN
iajs-450	237	7	of	of	ADP
iajs-450	237	8	degree	degree	NOUN
iajs-450	237	9	six	six	NUM
iajs-450	237	10	consists	consist	NOUN
iajs-450	237	11	of	of	ADP
iajs-450	237	12	ξ	ξ	PROPN
iajs-450	237	13	and	and	CCONJ
iajs-450	237	14	a	a	DET
iajs-450	237	15	point	point	NOUN
iajs-450	237	16	∗p	∗p	NOUN
iajs-450	237	17	which	which	PRON
iajs-450	237	18	is	be	AUX
iajs-450	237	19	fixed	fix	VERB
iajs-450	237	20	by	by	ADP
iajs-450	237	21	the	the	DET
iajs-450	237	22	elements	element	NOUN
iajs-450	237	23	of	of	ADP
iajs-450	237	24	)	)	PUNCT
iajs-450	237	25	(	(	PUNCT
iajs-450	237	26	ξg	ξg	NOUN
iajs-450	237	27	of	of	ADP
iajs-450	237	28	degree	degree	NOUN
iajs-450	237	29	five	five	NUM
iajs-450	237	30	.	.	PUNCT
iajs-450	238	1	and	and	CCONJ
iajs-450	238	2	the	the	DET
iajs-450	238	3	group	group	NOUN
iajs-450	238	4	)	)	PUNCT
iajs-450	239	1	(	(	PUNCT
iajs-450	239	2	ξg	ξg	NOUN
iajs-450	239	3	fixed	fix	VERB
iajs-450	239	4	the	the	DET
iajs-450	239	5	figure	figure	NOUN
iajs-450	239	6	1	1	NUM
iajs-450	239	7	.	.	PUNCT
iajs-450	240	1	references	reference	NOUN
iajs-450	240	2	[	[	X
iajs-450	240	3	1	1	X
iajs-450	240	4	]	]	PUNCT
iajs-450	240	5	hirschfeld	hirschfeld	PROPN
iajs-450	240	6	j.	j.	PROPN
iajs-450	240	7	w.	w.	PROPN
iajs-450	240	8	p.	p.	PROPN
iajs-450	240	9	,	,	PUNCT
iajs-450	240	10	(	(	PUNCT
iajs-450	240	11	1998	1998	NUM
iajs-450	240	12	)	)	PUNCT
iajs-450	240	13	,	,	PUNCT
iajs-450	240	14	projective	projective	PROPN
iajs-450	240	15	geometries	geometry	NOUN
iajs-450	240	16	over	over	ADP
iajs-450	240	17	finite	finite	ADJ
iajs-450	240	18	fields	field	NOUN
iajs-450	240	19	,	,	PUNCT
iajs-450	240	20	2nd	2nd	PROPN
iajs-450	240	21	edition	edition	NOUN
iajs-450	240	22	,	,	PUNCT
iajs-450	240	23	oxford	oxford	PROPN
iajs-450	240	24	mathematical	mathematical	ADJ
iajs-450	240	25	monographs	monograph	NOUN
iajs-450	240	26	,	,	PUNCT
iajs-450	240	27	the	the	DET
iajs-450	240	28	clarendon	clarendon	PROPN
iajs-450	240	29	press	press	NOUN
iajs-450	240	30	,	,	PUNCT
iajs-450	240	31	oxford	oxford	PROPN
iajs-450	240	32	university	university	PROPN
iajs-450	240	33	press	press	NOUN
iajs-450	240	34	,	,	PUNCT
iajs-450	240	35	new	new	PROPN
iajs-450	240	36	york	york	PROPN
iajs-450	240	37	.	.	PUNCT
iajs-450	241	1	[	[	X
iajs-450	241	2	2	2	X
iajs-450	241	3	]	]	PUNCT
iajs-450	241	4	thomas	thomas	PROPN
iajs-450	241	5	a.	a.	PROPN
iajs-450	241	6	d.	d.	PROPN
iajs-450	241	7	and	and	CCONJ
iajs-450	241	8	wood	wood	PROPN
iajs-450	241	9	g.	g.	PROPN
iajs-450	241	10	v.	v.	PROPN
iajs-450	241	11	,	,	PUNCT
iajs-450	241	12	(	(	PUNCT
iajs-450	241	13	1980	1980	NUM
iajs-450	241	14	)	)	PUNCT
iajs-450	241	15	,	,	PUNCT
iajs-450	241	16	group	group	NOUN
iajs-450	241	17	tables	table	NOUN
iajs-450	241	18	,	,	PUNCT
iajs-450	241	19	shiva	shiva	NOUN
iajs-450	241	20	mathematics	mathematics	PROPN
iajs-450	241	21	series	series	PROPN
iajs-450	241	22	,	,	PUNCT
iajs-450	241	23	series	series	NOUN
iajs-450	241	24	2	2	NUM
iajs-450	241	25	.	.	PROPN
iajs-450	241	26	,	,	PUNCT
iajs-450	241	27	devon	devon	PROPN
iajs-450	241	28	print	print	PROPN
iajs-450	241	29	group	group	PROPN
iajs-450	241	30	,	,	PUNCT
iajs-450	241	31	exeter	exeter	PROPN
iajs-450	241	32	,	,	PUNCT
iajs-450	241	33	devon	devon	PROPN
iajs-450	241	34	,	,	PUNCT
iajs-450	241	35	uk	uk	PROPN
iajs-450	241	36	.	.	PUNCT
iajs-450	242	1	[	[	X
iajs-450	242	2	3	3	X
iajs-450	242	3	]	]	PUNCT
iajs-450	242	4	sadeh	sadeh	PROPN
iajs-450	242	5	a.	a.	PROPN
iajs-450	242	6	r.	r.	PROPN
iajs-450	242	7	,	,	PUNCT
iajs-450	242	8	(	(	PUNCT
iajs-450	242	9	1984	1984	NUM
iajs-450	242	10	)	)	PUNCT
iajs-450	242	11	,	,	PUNCT
iajs-450	242	12	cubics	cubic	NOUN
iajs-450	242	13	surfaces	surface	NOUN
iajs-450	242	14	with	with	ADP
iajs-450	242	15	twenty	twenty	NUM
iajs-450	242	16	seven	seven	NUM
iajs-450	242	17	lines	line	NOUN
iajs-450	242	18	over	over	ADP
iajs-450	242	19	the	the	DET
iajs-450	242	20	eleven	eleven	NUM
iajs-450	242	21	elements	element	NOUN
iajs-450	242	22	,	,	PUNCT
iajs-450	242	23	phd	phd	NOUN
iajs-450	242	24	thesis	thesis	NOUN
iajs-450	242	25	,	,	PUNCT
iajs-450	242	26	university	university	PROPN
iajs-450	242	27	of	of	ADP
iajs-450	242	28	sussex	sussex	PROPN
iajs-450	242	29	,	,	PUNCT
iajs-450	242	30	united	united	ADJ
iajs-450	242	31	kingdom	kingdom	NOUN
iajs-450	242	32	.	.	PUNCT
iajs-450	243	1	[	[	X
iajs-450	243	2	4	4	NUM
iajs-450	243	3	]	]	X
iajs-450	243	4	al	al	PROPN
iajs-450	243	5	-	-	PUNCT
iajs-450	243	6	zangana	zangana	PROPN
iajs-450	243	7	e.	e.	PROPN
iajs-450	243	8	m.	m.	PROPN
iajs-450	243	9	,	,	PUNCT
iajs-450	243	10	(	(	PUNCT
iajs-450	243	11	2011	2011	NUM
iajs-450	243	12	)	)	PUNCT
iajs-450	243	13	,	,	PUNCT
iajs-450	243	14	the	the	DET
iajs-450	243	15	geometry	geometry	NOUN
iajs-450	243	16	of	of	ADP
iajs-450	243	17	the	the	DET
iajs-450	243	18	plane	plane	NOUN
iajs-450	243	19	of	of	ADP
iajs-450	243	20	order	order	NOUN
iajs-450	243	21	nineteen	nineteen	NUM
iajs-450	243	22	and	and	CCONJ
iajs-450	243	23	its	its	PRON
iajs-450	243	24	application	application	NOUN
iajs-450	243	25	to	to	ADP
iajs-450	243	26	error	error	NOUN
iajs-450	243	27	-	-	PUNCT
iajs-450	243	28	correcting	correct	VERB
iajs-450	243	29	codes	code	NOUN
iajs-450	243	30	,	,	PUNCT
iajs-450	243	31	ph.d	ph.d	PROPN
iajs-450	243	32	.	.	PUNCT
iajs-450	244	1	thesis	thesis	NOUN
iajs-450	244	2	,	,	PUNCT
iajs-450	244	3	university	university	PROPN
iajs-450	244	4	of	of	ADP
iajs-450	244	5	sussex	sussex	PROPN
iajs-450	244	6	,	,	PUNCT
iajs-450	244	7	united	united	ADJ
iajs-450	244	8	kingdom	kingdom	NOUN
iajs-450	244	9	.	.	PUNCT
iajs-450	245	1	[	[	X
iajs-450	245	2	5	5	NUM
iajs-450	245	3	]	]	X
iajs-450	245	4	storme	storme	PROPN
iajs-450	245	5	l.	l.	PROPN
iajs-450	245	6	and	and	CCONJ
iajs-450	245	7	maldeghem	maldeghem	PROPN
iajs-450	245	8	v.	v.	ADV
iajs-450	245	9	,	,	PUNCT
iajs-450	245	10	(	(	PUNCT
iajs-450	245	11	1995	1995	NUM
iajs-450	245	12	)	)	PUNCT
iajs-450	245	13	,	,	PUNCT
iajs-450	245	14	primitive	primitive	ADJ
iajs-450	245	15	arcs	arc	NOUN
iajs-450	245	16	in	in	ADP
iajs-450	245	17	)	)	PUNCT
iajs-450	245	18	,	,	PUNCT
iajs-450	245	19	2	2	NUM
iajs-450	245	20	(	(	PUNCT
iajs-450	245	21	qpg	qpg	NOUN
iajs-450	245	22	,	,	PUNCT
iajs-450	245	23	j.	j.	PROPN
iajs-450	245	24	combin	combin	PROPN
iajs-450	245	25	.	.	PUNCT
iajs-450	246	1	theory	theory	NOUN
iajs-450	246	2	,	,	PUNCT
iajs-450	246	3	ser	ser	PROPN
iajs-450	246	4	.	.	PUNCT
iajs-450	247	1	a	a	DET
iajs-450	247	2	,	,	PUNCT
iajs-450	247	3	69	69	NUM
iajs-450	247	4	,	,	PUNCT
iajs-450	247	5	(	(	PUNCT
iajs-450	247	6	200	200	NUM
iajs-450	247	7	-	-	SYM
iajs-450	247	8	216	216	NUM
iajs-450	247	9	)	)	PUNCT
iajs-450	247	10	.	.	PUNCT
iajs-450	248	1	[	[	X
iajs-450	248	2	6	6	NUM
iajs-450	248	3	]	]	X
iajs-450	248	4	gap	gap	NOUN
iajs-450	248	5	group	group	NOUN
iajs-450	248	6	,	,	PUNCT
iajs-450	248	7	(	(	PUNCT
iajs-450	248	8	2013	2013	NUM
iajs-450	248	9	)	)	PUNCT
iajs-450	248	10	,	,	PUNCT
iajs-450	248	11	gap	gap	NOUN
iajs-450	248	12	.	.	PUNCT
iajs-450	248	13	reference	reference	NOUN
iajs-450	248	14	manual	manual	NOUN
iajs-450	248	15	,	,	PUNCT
iajs-450	248	16	url	url	X
iajs-450	248	17	http://www.gap-system.org	http://www.gap-system.org	NOUN
iajs-450	248	18	.	.	PUNCT
iajs-450	249	1	422	422	NUM
iajs-450	249	2	|	|	ADV
iajs-450	249	3	mathematics	mathematic	NOUN
iajs-450	249	4	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	PROPN
iajs-450	249	5	�	�	PROPN
iajs-450	249	6	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	NUM
iajs-450	249	7	:	:	PUNCT
iajs-450	249	8	a@âig@ú‹	a@âig@ú‹	PROPN
iajs-450	250	1	©	©	PROPN
iajs-450	250	2	@ü‹1a26@@öü»€a@i3@‚b«@h2013	@ü‹1a26@@öü»€a@i3@‚b«@h2013	PROPN
iajs-450	250	3	ibn	ibn	PROPN
iajs-450	250	4	al	al	PROPN
iajs-450	250	5	-	-	PUNCT
iajs-450	250	6	haitham	haitham	PROPN
iajs-450	250	7	jour	jour	X
iajs-450	250	8	.	.	PROPN
iajs-450	251	1	for	for	ADP
iajs-450	251	2	pure	pure	ADJ
iajs-450	251	3	&	&	CCONJ
iajs-450	251	4	appl	appl	PROPN
iajs-450	251	5	.	.	PUNCT
iajs-450	252	1	sci	sci	PROPN
iajs-450	252	2	.	.	PUNCT
iajs-450	252	3	vol	vol	NOUN
iajs-450	252	4	.	.	PROPN
iajs-450	253	1	26	26	NUM
iajs-450	253	2	(	(	PUNCT
iajs-450	253	3	3	3	NUM
iajs-450	253	4	)	)	PUNCT
iajs-450	253	5	2013	2013	NUM
iajs-450	253	6	http://www.gap	http://www.gap	NOUN
iajs-450	253	7	-	-	PUNCT
iajs-450	253	8	system/	system/	NUM
iajs-450	253	9	،	،	NOUN
iajs-450	253	10	qf	qf	PROPN
iajs-450	253	11	فيالمستوي	فيالمستوي	PROPN
iajs-450	253	12	األسقاطي	األسقاطي	PROPN
iajs-450	253	13	نقاط	نقاط	PROPN
iajs-450	253	14	في	في	SCONJ
iajs-450	253	15	5aو	5aو	ADJ
iajs-450	253	16	5dواع	5dواع	NUM
iajs-450	253	17	تاثیر	تاثیر	NOUN
iajs-450	253	18	الزمر	الزمر	VERB
iajs-450	253	19	من	من	PRON
iajs-450	253	20	األن	األن	NOUN
iajs-450	253	21	[	[	PUNCT
iajs-450	253	22	]	]	X
iajs-450	253	23	31,29	31,29	NUM
iajs-450	253	24	=	=	SYM
iajs-450	253	25	q	q	NOUN
iajs-450	253	26	عماد	عماد	NOUN
iajs-450	253	27	بكر	بكر	PROPN
iajs-450	253	28	عبد	عبد	PROPN
iajs-450	253	29	الكریم	الكریم	VERB
iajs-450	253	30	الزنكنة	الزنكنة	PRON
iajs-450	253	31	الجامعة	الجامعة	PROPN
iajs-450	253	32	المستنصریة	المستنصریة	PROPN
iajs-450	253	33	/	/	SYM
iajs-450	253	34	كلیة	كلیة	PROPN
iajs-450	253	35	العلوم	العلوم	NOUN
iajs-450	253	36	/قسم	/قسم	PROPN
iajs-450	253	37	الریاضیات	الریاضیات	PROPN
iajs-450	253	38	الخالصة	الخالصة	PROPN
iajs-450	253	39	31,29,,2),(في	31,29,,2),(في	NUM
iajs-450	253	40	المستوي	المستوي	PROPN
iajs-450	253	41	األسقاطي	األسقاطي	PROPN
iajs-450	253	42	قوس	قوس	VERB
iajs-450	253	43	من	من	DET
iajs-450	253	44	الدرجة	الدرجة	PROPN
iajs-450	253	45	الخامسة	الخامسة	AUX
iajs-450	253	46	یجادأرض	یجادأرض	PROPN
iajs-450	254	1	من	من	ADP
iajs-450	254	2	ھذا	ھذا	NOUN
iajs-450	254	3	البحث	البحث	ADV
iajs-450	254	4	لغا	لغا	ADJ
iajs-450	254	5	qpgq	qpgq	PROPN
iajs-450	254	6	ذات	ذات	NOUN
iajs-450	254	7	،	،	NOUN
iajs-450	254	8	=	=	PUNCT
iajs-450	255	1	و	و	PRON
iajs-450	255	2	اقواس	اقواس	VERB
iajs-450	255	3	من	من	NUM
iajs-450	255	4	الدرجة	الدرجة	PROPN
iajs-450	255	5	السادسة	السادسة	PROPN
iajs-450	255	6	والعاشرة	والعاشرة	PROPN
iajs-450	255	7	ذات	ذات	NOUN
iajs-450	255	8	زمرة	زمرة	X
iajs-450	255	9	مثبتة	مثبتة	PROPN
iajs-450	255	10	5dزمرة	5dزمرة	NUM
iajs-450	255	11	داھیدرل	داھیدرل	NOUN
iajs-450	255	12	من	من	DET
iajs-450	255	13	الدرجة	الدرجة	PROPN
iajs-450	255	14	الخامسة	الخامسة	PROPN
iajs-450	255	15	زمرة	زمرة	PROPN
iajs-450	255	16	مثبتة	مثبتة	PROPN
iajs-450	255	17	من	من	PRON
iajs-450	255	18	النوع	النوع	NOUN
iajs-450	255	19	سقاطي	سقاطي	NOUN
iajs-450	255	20	.	.	PUNCT
iajs-450	256	1	نقاط	نقاط	PROPN
iajs-450	256	2	المستوي	المستوي	PROPN
iajs-450	256	3	األ	األ	PROPN
iajs-450	257	1	في	في	X
iajs-450	257	2	5aو	5aو	ADJ
iajs-450	257	3	5dومن	5dومن	NUM
iajs-450	257	4	ثم	ثم	ADP
iajs-450	257	5	دراسة	دراسة	NOUN
iajs-450	257	6	تأثیر	تأثیر	VERB
iajs-450	257	7	5aنوع	5aنوع	NUM
iajs-450	257	8	الزمرة	الزمرة	NOUN
iajs-450	257	9	المتناوبة	المتناوبة	ADJ
iajs-450	257	10	من	من	PROPN
iajs-450	257	11	الدرجة	الدرجة	PROPN
iajs-450	257	12	الخامسة	الخامسة	PROPN
iajs-450	257	13	من	من	PRON
iajs-450	257	14	قامة	قامة	PROPN
iajs-450	257	15	واحدة.توكذلك	واحدة.توكذلك	PROPN
iajs-450	257	16	،	،	PROPN
iajs-450	257	17	ایجاد	ایجاد	PROPN
iajs-450	257	18	بنتاستام	بنتاستام	PROPN
iajs-450	257	19	ذات	ذات	PROPN
iajs-450	257	20	نقاط	نقاط	PROPN
iajs-450	257	21	قطریة	قطریة	VERB
iajs-450	257	22	على	على	NOUN
iajs-450	257	23	اس	اس	ADP
iajs-450	257	24	الكلمات	الكلمات	ADJ
iajs-450	257	25	المفتاحیة	المفتاحیة	ADV
iajs-450	257	26	:	:	PUNCT
iajs-450	257	27	المستوي	المستوي	PROPN
iajs-450	257	28	االسقاطي	االسقاطي	PROPN
iajs-450	257	29	،	،	PROPN
iajs-450	257	30	القوس	القوس	PROPN
iajs-450	257	31	.	.	PUNCT
iajs-450	258	1	423	423	NUM
iajs-450	258	2	|	|	ADV
iajs-450	258	3	mathematics	mathematic	NOUN
iajs-450	258	4	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@úó‘ój	PROPN
iajs-450	258	5	�	�	PROPN
iajs-450	258	6	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	n€a@î@úœäñ€a@‚ï‹»‹€@·ró	NUM
iajs-450	258	7	:	:	PUNCT
iajs-450	258	8	a@âig@ú‹	a@âig@ú‹	PROPN
iajs-450	259	1	©	©	PROPN
iajs-450	259	2	@ü‹1a26@@öü»€a@i3@‚b«@h2013	@ü‹1a26@@öü»€a@i3@‚b«@h2013	PROPN
iajs-450	259	3	ibn	ibn	PROPN
iajs-450	259	4	al	al	PROPN
iajs-450	259	5	-	-	PUNCT
iajs-450	259	6	haitham	haitham	PROPN
iajs-450	259	7	jour	jour	X
iajs-450	259	8	.	.	PROPN
iajs-450	260	1	for	for	ADP
iajs-450	260	2	pure	pure	ADJ
iajs-450	260	3	&	&	CCONJ
iajs-450	260	4	appl	appl	PROPN
iajs-450	260	5	.	.	PUNCT
iajs-450	261	1	sci	sci	PROPN
iajs-450	261	2	.	.	PUNCT
iajs-450	261	3	vol	vol	NOUN
iajs-450	261	4	.	.	PROPN
iajs-450	262	1	26	26	NUM
iajs-450	262	2	(	(	PUNCT
iajs-450	262	3	3	3	NUM
iajs-450	262	4	)	)	PUNCT
iajs-450	262	5	2013	2013	NUM
