id	sid	tid	token	lemma	pos
ejpam-3199	1	1	european	european	PROPN
ejpam-3199	1	2	journal	journal	PROPN
ejpam-3199	1	3	of	of	ADP
ejpam-3199	1	4	pure	pure	ADJ
ejpam-3199	1	5	and	and	CCONJ
ejpam-3199	1	6	applied	apply	VERB
ejpam-3199	1	7	mathematics	mathematic	NOUN
ejpam-3199	1	8	vol	vol	NOUN
ejpam-3199	1	9	.	.	PUNCT
ejpam-3199	2	1	11	11	NUM
ejpam-3199	2	2	,	,	PUNCT
ejpam-3199	2	3	no	no	INTJ
ejpam-3199	2	4	.	.	NOUN
ejpam-3199	2	5	1	1	NUM
ejpam-3199	2	6	,	,	PUNCT
ejpam-3199	2	7	2018	2018	NUM
ejpam-3199	2	8	,	,	PUNCT
ejpam-3199	2	9	215	215	NUM
ejpam-3199	2	10	-	-	SYM
ejpam-3199	2	11	237	237	NUM
ejpam-3199	2	12	issn	issn	PROPN
ejpam-3199	2	13	1307	1307	NUM
ejpam-3199	2	14	-	-	SYM
ejpam-3199	2	15	5543	5543	NUM
ejpam-3199	2	16	–	–	PUNCT
ejpam-3199	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3199	2	18	published	publish	VERB
ejpam-3199	2	19	by	by	ADP
ejpam-3199	2	20	new	new	PROPN
ejpam-3199	2	21	york	york	PROPN
ejpam-3199	2	22	business	business	PROPN
ejpam-3199	2	23	global	global	PROPN
ejpam-3199	2	24	on	on	ADP
ejpam-3199	2	25	the	the	DET
ejpam-3199	2	26	irreducibility	irreducibility	NOUN
ejpam-3199	2	27	of	of	ADP
ejpam-3199	2	28	perron	perron	PROPN
ejpam-3199	2	29	representations	representation	NOUN
ejpam-3199	2	30	of	of	ADP
ejpam-3199	2	31	degrees	degree	NOUN
ejpam-3199	2	32	4	4	NUM
ejpam-3199	2	33	and	and	CCONJ
ejpam-3199	2	34	5	5	NUM
ejpam-3199	2	35	malak	malak	NOUN
ejpam-3199	2	36	m.	m.	NOUN
ejpam-3199	2	37	dally1	dally1	PROPN
ejpam-3199	2	38	,	,	PUNCT
ejpam-3199	2	39	mohammad	mohammad	PROPN
ejpam-3199	2	40	n.	n.	PROPN
ejpam-3199	2	41	abdulrahim1,∗	abdulrahim1,∗	PROPN
ejpam-3199	2	42	1	1	PROPN
ejpam-3199	2	43	department	department	NOUN
ejpam-3199	2	44	of	of	ADP
ejpam-3199	2	45	mathematics	mathematic	NOUN
ejpam-3199	2	46	,	,	PUNCT
ejpam-3199	2	47	faculty	faculty	NOUN
ejpam-3199	2	48	of	of	ADP
ejpam-3199	2	49	science	science	NOUN
ejpam-3199	2	50	,	,	PUNCT
ejpam-3199	2	51	beirut	beirut	PROPN
ejpam-3199	2	52	arab	arab	PROPN
ejpam-3199	2	53	university	university	PROPN
ejpam-3199	2	54	,	,	PUNCT
ejpam-3199	2	55	p.o	p.o	PROPN
ejpam-3199	2	56	.	.	PROPN
ejpam-3199	2	57	box	box	PROPN
ejpam-3199	2	58	11	11	NUM
ejpam-3199	2	59	-	-	SYM
ejpam-3199	2	60	5020	5020	NUM
ejpam-3199	2	61	,	,	PUNCT
ejpam-3199	2	62	beirut	beirut	PROPN
ejpam-3199	2	63	,	,	PUNCT
ejpam-3199	2	64	lebanon	lebanon	PROPN
ejpam-3199	2	65	abstract	abstract	NOUN
ejpam-3199	2	66	.	.	PUNCT
ejpam-3199	3	1	we	we	PRON
ejpam-3199	3	2	consider	consider	VERB
ejpam-3199	3	3	the	the	DET
ejpam-3199	3	4	graph	graph	NOUN
ejpam-3199	3	5	en+1,1	en+1,1	NOUN
ejpam-3199	3	6	with	with	ADP
ejpam-3199	3	7	(	(	PUNCT
ejpam-3199	3	8	n+1	n+1	NOUN
ejpam-3199	3	9	)	)	PUNCT
ejpam-3199	3	10	generators	generator	NOUN
ejpam-3199	3	11	σ1	σ1	PROPN
ejpam-3199	3	12	,	,	PUNCT
ejpam-3199	3	13	...	...	PUNCT
ejpam-3199	3	14	,	,	PUNCT
ejpam-3199	3	15	σn	σn	PROPN
ejpam-3199	3	16	,	,	PUNCT
ejpam-3199	3	17	and	and	CCONJ
ejpam-3199	3	18	δ	δ	PROPN
ejpam-3199	3	19	,	,	PUNCT
ejpam-3199	3	20	where	where	SCONJ
ejpam-3199	3	21	σi	σi	PRON
ejpam-3199	3	22	has	have	VERB
ejpam-3199	3	23	an	an	DET
ejpam-3199	3	24	edge	edge	NOUN
ejpam-3199	3	25	with	with	ADP
ejpam-3199	3	26	σi+1	σi+1	NOUN
ejpam-3199	3	27	for	for	ADP
ejpam-3199	3	28	i	i	PRON
ejpam-3199	3	29	=	=	NOUN
ejpam-3199	3	30	1	1	NUM
ejpam-3199	3	31	,	,	PUNCT
ejpam-3199	3	32	...	...	PUNCT
ejpam-3199	3	33	,	,	PUNCT
ejpam-3199	3	34	n+1	n+1	PROPN
ejpam-3199	3	35	,	,	PUNCT
ejpam-3199	3	36	and	and	CCONJ
ejpam-3199	3	37	σ1	σ1	PROPN
ejpam-3199	3	38	has	have	VERB
ejpam-3199	3	39	an	an	DET
ejpam-3199	3	40	edge	edge	NOUN
ejpam-3199	3	41	with	with	ADP
ejpam-3199	3	42	δ	δ	PROPN
ejpam-3199	3	43	.	.	PUNCT
ejpam-3199	4	1	we	we	PRON
ejpam-3199	4	2	then	then	ADV
ejpam-3199	4	3	define	define	VERB
ejpam-3199	4	4	the	the	DET
ejpam-3199	4	5	artin	artin	PROPN
ejpam-3199	4	6	group	group	NOUN
ejpam-3199	4	7	of	of	ADP
ejpam-3199	4	8	the	the	DET
ejpam-3199	4	9	graph	graph	NOUN
ejpam-3199	4	10	en+1,1	en+1,1	NOUN
ejpam-3199	4	11	for	for	ADP
ejpam-3199	4	12	n	n	NOUN
ejpam-3199	4	13	=	=	SYM
ejpam-3199	4	14	3	3	NUM
ejpam-3199	4	15	and	and	CCONJ
ejpam-3199	4	16	n	n	NOUN
ejpam-3199	4	17	=	=	SYM
ejpam-3199	4	18	4	4	NUM
ejpam-3199	4	19	and	and	CCONJ
ejpam-3199	4	20	consider	consider	VERB
ejpam-3199	4	21	its	its	PRON
ejpam-3199	4	22	reduced	reduce	VERB
ejpam-3199	4	23	perron	perron	PROPN
ejpam-3199	4	24	’s	’s	PART
ejpam-3199	4	25	representation	representation	NOUN
ejpam-3199	4	26	of	of	ADP
ejpam-3199	4	27	degrees	degree	NOUN
ejpam-3199	4	28	four	four	NUM
ejpam-3199	4	29	and	and	CCONJ
ejpam-3199	4	30	five	five	NUM
ejpam-3199	4	31	respectively	respectively	ADV
ejpam-3199	4	32	.	.	PUNCT
ejpam-3199	5	1	after	after	SCONJ
ejpam-3199	5	2	we	we	PRON
ejpam-3199	5	3	specialize	specialize	VERB
ejpam-3199	5	4	the	the	DET
ejpam-3199	5	5	indeterminates	indeterminate	NOUN
ejpam-3199	5	6	used	use	VERB
ejpam-3199	5	7	in	in	ADP
ejpam-3199	5	8	defining	define	VERB
ejpam-3199	5	9	the	the	DET
ejpam-3199	5	10	representation	representation	NOUN
ejpam-3199	5	11	to	to	ADP
ejpam-3199	5	12	non	non	ADJ
ejpam-3199	5	13	-	-	ADJ
ejpam-3199	5	14	zero	zero	ADJ
ejpam-3199	5	15	complex	complex	ADJ
ejpam-3199	5	16	numbers	number	NOUN
ejpam-3199	5	17	,	,	PUNCT
ejpam-3199	5	18	we	we	PRON
ejpam-3199	5	19	obtain	obtain	VERB
ejpam-3199	5	20	necessary	necessary	ADJ
ejpam-3199	5	21	and	and	CCONJ
ejpam-3199	5	22	sufficient	sufficient	ADJ
ejpam-3199	5	23	conditions	condition	NOUN
ejpam-3199	5	24	that	that	PRON
ejpam-3199	5	25	guarantee	guarantee	VERB
ejpam-3199	5	26	the	the	DET
ejpam-3199	5	27	irreducibility	irreducibility	NOUN
ejpam-3199	5	28	of	of	ADP
ejpam-3199	5	29	the	the	DET
ejpam-3199	5	30	representations	representation	NOUN
ejpam-3199	5	31	for	for	ADP
ejpam-3199	5	32	n	n	NOUN
ejpam-3199	5	33	=	=	SYM
ejpam-3199	5	34	3	3	NUM
ejpam-3199	5	35	and	and	CCONJ
ejpam-3199	5	36	4	4	NUM
ejpam-3199	5	37	.	.	X
ejpam-3199	5	38	2010	2010	NUM
ejpam-3199	5	39	mathematics	mathematic	NOUN
ejpam-3199	5	40	subject	subject	NOUN
ejpam-3199	5	41	classifications	classification	NOUN
ejpam-3199	5	42	:	:	PUNCT
ejpam-3199	5	43	20f36	20f36	NUM
ejpam-3199	5	44	key	key	ADJ
ejpam-3199	5	45	words	word	NOUN
ejpam-3199	5	46	and	and	CCONJ
ejpam-3199	5	47	phrases	phrase	NOUN
ejpam-3199	5	48	:	:	PUNCT
ejpam-3199	5	49	artin	artin	PROPN
ejpam-3199	5	50	representation	representation	NOUN
ejpam-3199	5	51	,	,	PUNCT
ejpam-3199	5	52	braid	braid	NOUN
ejpam-3199	5	53	group	group	NOUN
ejpam-3199	5	54	,	,	PUNCT
ejpam-3199	5	55	burau	burau	ADJ
ejpam-3199	5	56	representation	representation	NOUN
ejpam-3199	5	57	,	,	PUNCT
ejpam-3199	5	58	graph	graph	NOUN
ejpam-3199	5	59	,	,	PUNCT
ejpam-3199	5	60	irreducibility	irreducibility	NOUN
ejpam-3199	5	61	1	1	NUM
ejpam-3199	5	62	.	.	PUNCT
ejpam-3199	6	1	introduction	introduction	NOUN
ejpam-3199	6	2	let	let	VERB
ejpam-3199	6	3	γ	γ	NOUN
ejpam-3199	6	4	be	be	AUX
ejpam-3199	6	5	an	an	DET
ejpam-3199	6	6	undirected	undirected	ADJ
ejpam-3199	6	7	simple	simple	ADJ
ejpam-3199	6	8	graph	graph	NOUN
ejpam-3199	6	9	.	.	PUNCT
ejpam-3199	7	1	the	the	DET
ejpam-3199	7	2	artin	artin	PROPN
ejpam-3199	7	3	group	group	PROPN
ejpam-3199	7	4	a	a	PROPN
ejpam-3199	7	5	is	be	AUX
ejpam-3199	7	6	defined	define	VERB
ejpam-3199	7	7	as	as	ADP
ejpam-3199	7	8	an	an	DET
ejpam-3199	7	9	abstract	abstract	ADJ
ejpam-3199	7	10	group	group	NOUN
ejpam-3199	7	11	whose	whose	DET
ejpam-3199	7	12	generators	generator	NOUN
ejpam-3199	7	13	are	be	AUX
ejpam-3199	7	14	the	the	DET
ejpam-3199	7	15	vertices	vertex	NOUN
ejpam-3199	7	16	of	of	ADP
ejpam-3199	7	17	γ	γ	NOUN
ejpam-3199	7	18	that	that	PRON
ejpam-3199	7	19	satisfy	satisfy	VERB
ejpam-3199	7	20	the	the	DET
ejpam-3199	7	21	two	two	NUM
ejpam-3199	7	22	relations	relation	NOUN
ejpam-3199	7	23	:	:	PUNCT
ejpam-3199	7	24	xy	xy	PROPN
ejpam-3199	7	25	=	=	SYM
ejpam-3199	7	26	yx	yx	PROPN
ejpam-3199	7	27	for	for	ADP
ejpam-3199	7	28	vertices	vertex	NOUN
ejpam-3199	7	29	x	x	PUNCT
ejpam-3199	7	30	and	and	CCONJ
ejpam-3199	7	31	y	y	PROPN
ejpam-3199	7	32	that	that	PRON
ejpam-3199	7	33	have	have	VERB
ejpam-3199	7	34	no	no	DET
ejpam-3199	7	35	edge	edge	NOUN
ejpam-3199	7	36	in	in	ADP
ejpam-3199	7	37	common	common	ADJ
ejpam-3199	7	38	and	and	CCONJ
ejpam-3199	7	39	xyx	xyx	PROPN
ejpam-3199	7	40	=	=	PROPN
ejpam-3199	7	41	yxy	yxy	PROPN
ejpam-3199	7	42	if	if	SCONJ
ejpam-3199	7	43	the	the	DET
ejpam-3199	7	44	vertices	vertex	NOUN
ejpam-3199	7	45	x	x	X
ejpam-3199	7	46	and	and	CCONJ
ejpam-3199	7	47	y	y	PROPN
ejpam-3199	7	48	have	have	VERB
ejpam-3199	7	49	a	a	DET
ejpam-3199	7	50	common	common	ADJ
ejpam-3199	7	51	edge	edge	NOUN
ejpam-3199	7	52	.	.	PUNCT
ejpam-3199	8	1	having	having	AUX
ejpam-3199	8	2	defined	define	VERB
ejpam-3199	8	3	a	a	PRON
ejpam-3199	8	4	,	,	PUNCT
ejpam-3199	8	5	we	we	PRON
ejpam-3199	8	6	consider	consider	VERB
ejpam-3199	8	7	the	the	DET
ejpam-3199	8	8	graph	graph	NOUN
ejpam-3199	8	9	an	an	DET
ejpam-3199	8	10	having	having	NOUN
ejpam-3199	8	11	n	n	PRON
ejpam-3199	8	12	vertices	vertice	VERB
ejpam-3199	8	13	σi	σi	X
ejpam-3199	8	14	’s	’s	X
ejpam-3199	8	15	(	(	PUNCT
ejpam-3199	8	16	1	1	NUM
ejpam-3199	8	17	≤	≤	NUM
ejpam-3199	8	18	i	i	PRON
ejpam-3199	8	19	≤	≤	NOUN
ejpam-3199	8	20	n	n	CCONJ
ejpam-3199	8	21	)	)	PUNCT
ejpam-3199	8	22	in	in	ADP
ejpam-3199	8	23	which	which	PRON
ejpam-3199	8	24	σi	σi	PRON
ejpam-3199	8	25	and	and	CCONJ
ejpam-3199	8	26	σi+1	σi+1	NOUN
ejpam-3199	8	27	share	share	VERB
ejpam-3199	8	28	a	a	DET
ejpam-3199	8	29	comon	comon	PROPN
ejpam-3199	8	30	edge	edge	NOUN
ejpam-3199	8	31	,	,	PUNCT
ejpam-3199	8	32	where	where	SCONJ
ejpam-3199	8	33	i	i	PRON
ejpam-3199	8	34	=	=	NOUN
ejpam-3199	8	35	1	1	NUM
ejpam-3199	8	36	,	,	PUNCT
ejpam-3199	8	37	2	2	NUM
ejpam-3199	8	38	,	,	PUNCT
ejpam-3199	8	39	...	...	PUNCT
ejpam-3199	8	40	,	,	PUNCT
ejpam-3199	8	41	n−1	n−1	PROPN
ejpam-3199	8	42	.	.	PROPN
ejpam-3199	8	43	indeed	indeed	ADV
ejpam-3199	8	44	,	,	PUNCT
ejpam-3199	8	45	the	the	DET
ejpam-3199	8	46	artin	artin	PROPN
ejpam-3199	8	47	group	group	NOUN
ejpam-3199	8	48	of	of	ADP
ejpam-3199	8	49	an	an	PRON
ejpam-3199	8	50	,	,	PUNCT
ejpam-3199	8	51	denoted	denote	VERB
ejpam-3199	8	52	by	by	ADP
ejpam-3199	8	53	a(an	a(an	PROPN
ejpam-3199	8	54	)	)	PUNCT
ejpam-3199	8	55	,	,	PUNCT
ejpam-3199	8	56	is	be	AUX
ejpam-3199	8	57	the	the	DET
ejpam-3199	8	58	braid	braid	NOUN
ejpam-3199	8	59	group	group	NOUN
ejpam-3199	8	60	on	on	ADP
ejpam-3199	8	61	n+1	n+1	PROPN
ejpam-3199	8	62	strands	strand	NOUN
ejpam-3199	8	63	,	,	PUNCT
ejpam-3199	8	64	bn+1	bn+1	NOUN
ejpam-3199	8	65	.	.	PUNCT
ejpam-3199	9	1	that	that	PRON
ejpam-3199	9	2	is	be	AUX
ejpam-3199	9	3	,	,	PUNCT
ejpam-3199	9	4	a(an	a(an	PROPN
ejpam-3199	9	5	)	)	PUNCT
ejpam-3199	10	1	=	=	SYM
ejpam-3199	10	2	bn+1	bn+1	X
ejpam-3199	10	3	.	.	PUNCT
ejpam-3199	11	1	from	from	ADP
ejpam-3199	11	2	the	the	DET
ejpam-3199	11	3	graph	graph	NOUN
ejpam-3199	11	4	an	an	PRON
ejpam-3199	11	5	,	,	PUNCT
ejpam-3199	11	6	we	we	PRON
ejpam-3199	11	7	obtain	obtain	VERB
ejpam-3199	11	8	the	the	DET
ejpam-3199	11	9	graph	graph	NOUN
ejpam-3199	11	10	en+1,p	en+1,p	NOUN
ejpam-3199	11	11	by	by	ADP
ejpam-3199	11	12	adding	add	VERB
ejpam-3199	11	13	a	a	DET
ejpam-3199	11	14	vertex	vertex	NOUN
ejpam-3199	11	15	δ	δ	NOUN
ejpam-3199	11	16	and	and	CCONJ
ejpam-3199	11	17	an	an	DET
ejpam-3199	11	18	edge	edge	NOUN
ejpam-3199	11	19	connecting	connect	VERB
ejpam-3199	11	20	σp	σp	NOUN
ejpam-3199	11	21	and	and	CCONJ
ejpam-3199	11	22	δ	δ	PROPN
ejpam-3199	11	23	.	.	PUNCT
ejpam-3199	12	1	here	here	ADV
ejpam-3199	12	2	1	1	NUM
ejpam-3199	12	3	≤	≤	NOUN
ejpam-3199	12	4	p	p	PROPN
ejpam-3199	12	5	≤	≤	PROPN
ejpam-3199	12	6	n.	n.	NOUN
ejpam-3199	12	7	clearly	clearly	ADV
ejpam-3199	12	8	,	,	PUNCT
ejpam-3199	12	9	the	the	DET
ejpam-3199	12	10	graph	graph	NOUN
ejpam-3199	12	11	an	an	DET
ejpam-3199	12	12	embeds	embed	NOUN
ejpam-3199	12	13	in	in	ADP
ejpam-3199	12	14	the	the	DET
ejpam-3199	12	15	graph	graph	NOUN
ejpam-3199	12	16	en+1,p	en+1,p	PROPN
ejpam-3199	12	17	.	.	PUNCT
ejpam-3199	13	1	consequently	consequently	ADV
ejpam-3199	13	2	,	,	PUNCT
ejpam-3199	13	3	a(an	a(an	PROPN
ejpam-3199	13	4	)	)	PUNCT
ejpam-3199	13	5	⊂	⊂	PROPN
ejpam-3199	13	6	a(en+1,p	a(en+1,p	PROPN
ejpam-3199	13	7	)	)	PUNCT
ejpam-3199	13	8	.	.	PUNCT
ejpam-3199	14	1	as	as	ADP
ejpam-3199	14	2	a	a	DET
ejpam-3199	14	3	result	result	NOUN
ejpam-3199	14	4	,	,	PUNCT
ejpam-3199	14	5	a	a	DET
ejpam-3199	14	6	representation	representation	NOUN
ejpam-3199	14	7	of	of	ADP
ejpam-3199	14	8	a(en+1,p	a(en+1,p	NOUN
ejpam-3199	14	9	)	)	PUNCT
ejpam-3199	14	10	yields	yield	VERB
ejpam-3199	14	11	a	a	DET
ejpam-3199	14	12	representation	representation	NOUN
ejpam-3199	14	13	of	of	ADP
ejpam-3199	14	14	bn+1	bn+1	PROPN
ejpam-3199	14	15	.	.	PUNCT
ejpam-3199	15	1	perron	perron	PROPN
ejpam-3199	15	2	’s	’s	PART
ejpam-3199	15	3	strategy	strategy	NOUN
ejpam-3199	15	4	is	be	AUX
ejpam-3199	15	5	to	to	PART
ejpam-3199	15	6	begin	begin	VERB
ejpam-3199	15	7	with	with	ADP
ejpam-3199	15	8	the	the	DET
ejpam-3199	15	9	reduced	reduce	VERB
ejpam-3199	15	10	burau	burau	ADJ
ejpam-3199	15	11	representation	representation	NOUN
ejpam-3199	15	12	of	of	ADP
ejpam-3199	15	13	bn+1	bn+1	NUM
ejpam-3199	15	14	of	of	ADP
ejpam-3199	15	15	degree	degree	NOUN
ejpam-3199	15	16	n	n	NOUN
ejpam-3199	15	17	and	and	CCONJ
ejpam-3199	15	18	extend	extend	VERB
ejpam-3199	15	19	it	it	PRON
ejpam-3199	15	20	to	to	ADP
ejpam-3199	15	21	a	a	DET
ejpam-3199	15	22	representation	representation	NOUN
ejpam-3199	15	23	of	of	ADP
ejpam-3199	15	24	bn+1	bn+1	NUM
ejpam-3199	15	25	of	of	ADP
ejpam-3199	15	26	degree	degree	NOUN
ejpam-3199	15	27	2n	2n	NUM
ejpam-3199	15	28	.	.	PUNCT
ejpam-3199	16	1	the	the	DET
ejpam-3199	16	2	representation	representation	NOUN
ejpam-3199	16	3	obtained	obtain	VERB
ejpam-3199	16	4	is	be	AUX
ejpam-3199	16	5	referred	refer	VERB
ejpam-3199	16	6	to	to	ADP
ejpam-3199	16	7	as	as	ADP
ejpam-3199	16	8	burau	burau	ADJ
ejpam-3199	16	9	bis	bis	ADJ
ejpam-3199	16	10	representation	representation	NOUN
ejpam-3199	16	11	.	.	PUNCT
ejpam-3199	17	1	next	next	ADV
ejpam-3199	17	2	,	,	PUNCT
ejpam-3199	17	3	perron	perron	PROPN
ejpam-3199	17	4	constructs	construct	VERB
ejpam-3199	17	5	for	for	ADP
ejpam-3199	17	6	each	each	DET
ejpam-3199	17	7	λ	λ	PROPN
ejpam-3199	17	8	=	=	SYM
ejpam-3199	17	9	(	(	PUNCT
ejpam-3199	17	10	λ1	λ1	ADJ
ejpam-3199	17	11	,	,	PUNCT
ejpam-3199	17	12	.	.	PUNCT
ejpam-3199	17	13	.	.	PUNCT
ejpam-3199	18	1	.	.	PUNCT
ejpam-3199	19	1	,	,	PUNCT
ejpam-3199	19	2	λn	λn	AUX
ejpam-3199	19	3	)	)	PUNCT
ejpam-3199	19	4	∗corresponding	∗corresponde	VERB
ejpam-3199	19	5	author	author	NOUN
ejpam-3199	19	6	.	.	PUNCT
ejpam-3199	20	1	email	email	NOUN
ejpam-3199	20	2	addresses	address	NOUN
ejpam-3199	20	3	:	:	PUNCT
ejpam-3199	20	4	malakdally@hotmail.com	malakdally@hotmail.com	X
ejpam-3199	20	5	(	(	PUNCT
ejpam-3199	20	6	m.	m.	NOUN
ejpam-3199	20	7	dally	dally	ADV
ejpam-3199	20	8	)	)	PUNCT
ejpam-3199	20	9	,	,	PUNCT
ejpam-3199	21	1	mna@bau.edu.lb	mna@bau.edu.lb	PROPN
ejpam-3199	21	2	(	(	PUNCT
ejpam-3199	21	3	m.	m.	PROPN
ejpam-3199	21	4	abdulrahim	abdulrahim	PROPN
ejpam-3199	21	5	)	)	PUNCT
ejpam-3199	21	6	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3199	22	1	215	215	NUM
ejpam-3199	22	2	c	c	X
ejpam-3199	22	3	©	©	PROPN
ejpam-3199	22	4	2018	2018	NUM
ejpam-3199	22	5	ejpam	ejpam	VERB
ejpam-3199	22	6	all	all	DET
ejpam-3199	22	7	rights	right	NOUN
ejpam-3199	22	8	reserved	reserve	VERB
ejpam-3199	22	9	.	.	PUNCT
ejpam-3199	23	1	m.	m.	NOUN
ejpam-3199	23	2	dally	dally	ADV
ejpam-3199	23	3	,	,	PUNCT
ejpam-3199	23	4	m.	m.	NOUN
ejpam-3199	23	5	abdulrahim	abdulrahim	PROPN
ejpam-3199	23	6	/	/	SYM
ejpam-3199	23	7	eur	eur	PROPN
ejpam-3199	23	8	.	.	PUNCT
ejpam-3199	24	1	j.	j.	PROPN
ejpam-3199	24	2	pure	pure	PROPN
ejpam-3199	24	3	appl	appl	PROPN
ejpam-3199	24	4	.	.	PROPN
ejpam-3199	24	5	math	math	PROPN
ejpam-3199	24	6	,	,	PUNCT
ejpam-3199	24	7	11	11	NUM
ejpam-3199	24	8	(	(	PUNCT
ejpam-3199	24	9	1	1	NUM
ejpam-3199	24	10	)	)	PUNCT
ejpam-3199	24	11	(	(	PUNCT
ejpam-3199	24	12	2018	2018	NUM
ejpam-3199	24	13	)	)	PUNCT
ejpam-3199	24	14	,	,	PUNCT
ejpam-3199	24	15	215	215	NUM
ejpam-3199	24	16	-	-	SYM
ejpam-3199	24	17	237	237	NUM
ejpam-3199	24	18	216	216	NUM
ejpam-3199	24	19	a	a	DET
ejpam-3199	24	20	representation	representation	NOUN
ejpam-3199	24	21	ψλ	ψλ	ADP
ejpam-3199	24	22	:	:	PUNCT
ejpam-3199	24	23	a(en+1,p	a(en+1,p	X
ejpam-3199	24	24	)	)	PUNCT
ejpam-3199	24	25	→	→	SYM
ejpam-3199	24	26	gl2n(q(t	gl2n(q(t	NOUN
ejpam-3199	24	27	,	,	PUNCT
ejpam-3199	24	28	d1	d1	PROPN
ejpam-3199	24	29	,	,	PUNCT
ejpam-3199	24	30	.	.	PUNCT
ejpam-3199	24	31	.	.	PUNCT
ejpam-3199	25	1	.	.	PUNCT
ejpam-3199	26	1	,	,	PUNCT
ejpam-3199	26	2	dn	dn	PROPN
ejpam-3199	26	3	)	)	PUNCT
ejpam-3199	26	4	)	)	PUNCT
ejpam-3199	26	5	,	,	PUNCT
ejpam-3199	26	6	where	where	SCONJ
ejpam-3199	26	7	t	t	NOUN
ejpam-3199	26	8	,	,	PUNCT
ejpam-3199	26	9	d1	d1	PROPN
ejpam-3199	26	10	,	,	PUNCT
ejpam-3199	26	11	.	.	PUNCT
ejpam-3199	26	12	.	.	PUNCT
ejpam-3199	27	1	.	.	PUNCT
ejpam-3199	28	1	,	,	PUNCT
ejpam-3199	28	2	dn	dn	PROPN
ejpam-3199	28	3	λ1	λ1	PROPN
ejpam-3199	28	4	,	,	PUNCT
ejpam-3199	28	5	.	.	PUNCT
ejpam-3199	28	6	.	.	PUNCT
ejpam-3199	29	1	.	.	PUNCT
ejpam-3199	30	1	,	,	PUNCT
ejpam-3199	30	2	λn	λn	PROPN
ejpam-3199	30	3	are	be	AUX
ejpam-3199	30	4	indeterminates	indeterminate	NOUN
ejpam-3199	30	5	.	.	PUNCT
ejpam-3199	31	1	in	in	ADP
ejpam-3199	31	2	[	[	X
ejpam-3199	31	3	3	3	NUM
ejpam-3199	31	4	]	]	PUNCT
ejpam-3199	31	5	,	,	PUNCT
ejpam-3199	31	6	we	we	PRON
ejpam-3199	31	7	determined	determine	VERB
ejpam-3199	31	8	necessary	necessary	ADJ
ejpam-3199	31	9	and	and	CCONJ
ejpam-3199	31	10	sufficient	sufficient	ADJ
ejpam-3199	31	11	condition	condition	NOUN
ejpam-3199	31	12	that	that	PRON
ejpam-3199	31	13	guarantees	guarantee	VERB
ejpam-3199	31	14	the	the	DET
ejpam-3199	31	15	irreducibility	irreducibility	NOUN
ejpam-3199	31	16	of	of	ADP
ejpam-3199	31	17	the	the	DET
ejpam-3199	31	18	representation	representation	NOUN
ejpam-3199	31	19	ψλ	ψλ	ADP
ejpam-3199	31	20	for	for	ADP
ejpam-3199	31	21	n	n	NOUN
ejpam-3199	31	22	=	=	SYM
ejpam-3199	31	23	2	2	NUM
ejpam-3199	31	24	.	.	PUNCT
ejpam-3199	32	1	in	in	ADP
ejpam-3199	32	2	our	our	PRON
ejpam-3199	32	3	work	work	NOUN
ejpam-3199	32	4	,	,	PUNCT
ejpam-3199	32	5	we	we	PRON
ejpam-3199	32	6	extend	extend	VERB
ejpam-3199	32	7	our	our	PRON
ejpam-3199	32	8	work	work	NOUN
ejpam-3199	32	9	to	to	ADP
ejpam-3199	32	10	n	n	NOUN
ejpam-3199	32	11	=	=	SYM
ejpam-3199	32	12	3	3	NUM
ejpam-3199	32	13	and	and	CCONJ
ejpam-3199	32	14	n	n	NOUN
ejpam-3199	32	15	=	=	NOUN
ejpam-3199	32	16	4	4	X
ejpam-3199	32	17	.	.	PUNCT
ejpam-3199	33	1	we	we	PRON
ejpam-3199	33	2	reduce	reduce	VERB
ejpam-3199	33	3	the	the	DET
ejpam-3199	33	4	complex	complex	ADJ
ejpam-3199	33	5	specialization	specialization	NOUN
ejpam-3199	33	6	of	of	ADP
ejpam-3199	33	7	the	the	DET
ejpam-3199	33	8	representation	representation	NOUN
ejpam-3199	33	9	ψλ	ψλ	ADP
ejpam-3199	33	10	to	to	ADP
ejpam-3199	33	11	representations	representation	NOUN
ejpam-3199	33	12	of	of	ADP
ejpam-3199	33	13	a(e4,1	a(e4,1	NOUN
ejpam-3199	33	14	)	)	PUNCT
ejpam-3199	33	15	and	and	CCONJ
ejpam-3199	33	16	a(e5,1	a(e5,1	NOUN
ejpam-3199	33	17	)	)	PUNCT
ejpam-3199	33	18	of	of	ADP
ejpam-3199	33	19	degrees	degree	NOUN
ejpam-3199	33	20	4	4	NUM
ejpam-3199	33	21	and	and	CCONJ
ejpam-3199	33	22	5	5	NUM
ejpam-3199	33	23	respectively	respectively	ADV
ejpam-3199	33	24	.	.	PUNCT
ejpam-3199	34	1	in	in	ADP
ejpam-3199	34	2	each	each	DET
ejpam-3199	34	3	case	case	NOUN
ejpam-3199	34	4	,	,	PUNCT
ejpam-3199	34	5	a	a	DET
ejpam-3199	34	6	necessary	necessary	ADJ
ejpam-3199	34	7	and	and	CCONJ
ejpam-3199	34	8	sufficient	sufficient	ADJ
ejpam-3199	34	9	condition	condition	NOUN
ejpam-3199	34	10	which	which	PRON
ejpam-3199	34	11	guarantees	guarantee	VERB
ejpam-3199	34	12	the	the	DET
ejpam-3199	34	13	irreducibility	irreducibility	NOUN
ejpam-3199	34	14	of	of	ADP
ejpam-3199	34	15	the	the	DET
ejpam-3199	34	16	considered	consider	VERB
ejpam-3199	34	17	representation	representation	NOUN
ejpam-3199	34	18	is	be	AUX
ejpam-3199	34	19	obtained	obtain	VERB
ejpam-3199	34	20	.	.	PUNCT
ejpam-3199	35	1	the	the	DET
ejpam-3199	35	2	obtained	obtain	VERB
ejpam-3199	35	3	conditions	condition	NOUN
ejpam-3199	35	4	are	be	AUX
ejpam-3199	35	5	similar	similar	ADJ
ejpam-3199	35	6	to	to	ADP
ejpam-3199	35	7	the	the	DET
ejpam-3199	35	8	condition	condition	NOUN
ejpam-3199	35	9	obtained	obtain	VERB
ejpam-3199	35	10	in	in	ADP
ejpam-3199	35	11	the	the	DET
ejpam-3199	35	12	case	case	NOUN
ejpam-3199	35	13	n	n	NOUN
ejpam-3199	35	14	=	=	SYM
ejpam-3199	35	15	2	2	NUM
ejpam-3199	35	16	,	,	PUNCT
ejpam-3199	35	17	which	which	PRON
ejpam-3199	35	18	was	be	AUX
ejpam-3199	35	19	studied	study	VERB
ejpam-3199	35	20	in	in	ADP
ejpam-3199	35	21	[	[	X
ejpam-3199	35	22	3	3	NUM
ejpam-3199	35	23	]	]	PUNCT
ejpam-3199	35	24	.	.	PUNCT
ejpam-3199	36	1	2	2	X
ejpam-3199	36	2	.	.	X
ejpam-3199	36	3	burau	burau	ADJ
ejpam-3199	36	4	bis	bis	ADJ
ejpam-3199	36	5	representation	representation	NOUN
ejpam-3199	36	6	the	the	DET
ejpam-3199	36	7	burau	burau	ADJ
ejpam-3199	36	8	bis	bis	ADJ
ejpam-3199	36	9	representation	representation	NOUN
ejpam-3199	36	10	is	be	AUX
ejpam-3199	36	11	a	a	DET
ejpam-3199	36	12	representation	representation	NOUN
ejpam-3199	36	13	of	of	ADP
ejpam-3199	36	14	bn+1	bn+1	NUM
ejpam-3199	36	15	of	of	ADP
ejpam-3199	36	16	degree	degree	NOUN
ejpam-3199	36	17	2n	2n	NUM
ejpam-3199	36	18	.	.	PUNCT
ejpam-3199	37	1	it	it	PRON
ejpam-3199	37	2	is	be	AUX
ejpam-3199	37	3	defined	define	VERB
ejpam-3199	37	4	as	as	SCONJ
ejpam-3199	37	5	follows	follow	VERB
ejpam-3199	37	6	:	:	PUNCT
ejpam-3199	37	7	ψ	ψ	X
ejpam-3199	37	8	:	:	PUNCT
ejpam-3199	37	9	bn+1	bn+1	NUM
ejpam-3199	37	10	→	→	SYM
ejpam-3199	37	11	gl2n(z[t	gl2n(z[t	PROPN
ejpam-3199	37	12	,	,	PUNCT
ejpam-3199	37	13	t−1	t−1	PROPN
ejpam-3199	37	14	]	]	X
ejpam-3199	37	15	)	)	PUNCT
ejpam-3199	37	16	ψ(σi	ψ(σi	NOUN
ejpam-3199	37	17	)	)	PUNCT
ejpam-3199	37	18	=	=	SYM
ejpam-3199	38	1	(	(	PUNCT
ejpam-3199	38	2	in	in	ADP
ejpam-3199	38	3	0	0	NUM
ejpam-3199	38	4	ri	ri	PROPN
ejpam-3199	38	5	ji	ji	PROPN
ejpam-3199	38	6	)	)	PUNCT
ejpam-3199	38	7	,	,	PUNCT
ejpam-3199	38	8	1	1	NUM
ejpam-3199	38	9	≤	≤	NUM
ejpam-3199	38	10	i	i	PRON
ejpam-3199	38	11	≤	≤	NOUN
ejpam-3199	38	12	n	n	CCONJ
ejpam-3199	38	13	here	here	ADV
ejpam-3199	38	14	,	,	PUNCT
ejpam-3199	38	15	ri	ri	PROPN
ejpam-3199	38	16	denotes	denote	VERB
ejpam-3199	38	17	an	an	DET
ejpam-3199	38	18	n	n	NUM
ejpam-3199	38	19	×	×	NOUN
ejpam-3199	38	20	n	n	PRON
ejpam-3199	38	21	block	block	NOUN
ejpam-3199	38	22	of	of	ADP
ejpam-3199	38	23	zeros	zero	NOUN
ejpam-3199	38	24	with	with	ADP
ejpam-3199	38	25	a	a	DET
ejpam-3199	38	26	t	t	NOUN
ejpam-3199	38	27	placed	place	VERB
ejpam-3199	38	28	in	in	ADP
ejpam-3199	38	29	the	the	DET
ejpam-3199	38	30	(	(	PUNCT
ejpam-3199	38	31	i	i	PROPN
ejpam-3199	38	32	,	,	PUNCT
ejpam-3199	38	33	i	i	PROPN
ejpam-3199	38	34	)	)	PUNCT
ejpam-3199	38	35	th	th	X
ejpam-3199	38	36	position	position	NOUN
ejpam-3199	38	37	and	and	CCONJ
ejpam-3199	38	38	in	in	ADP
ejpam-3199	38	39	denotes	denote	NOUN
ejpam-3199	38	40	the	the	DET
ejpam-3199	38	41	n×	n×	PROPN
ejpam-3199	38	42	n	n	NOUN
ejpam-3199	38	43	identity	identity	NOUN
ejpam-3199	38	44	matrix	matrix	NOUN
ejpam-3199	38	45	.	.	PUNCT
ejpam-3199	39	1	this	this	DET
ejpam-3199	39	2	representation	representation	NOUN
ejpam-3199	39	3	was	be	AUX
ejpam-3199	39	4	constructed	construct	VERB
ejpam-3199	39	5	by	by	ADP
ejpam-3199	39	6	perron	perron	PROPN
ejpam-3199	39	7	by	by	ADP
ejpam-3199	39	8	extending	extend	VERB
ejpam-3199	39	9	the	the	DET
ejpam-3199	39	10	reduced	reduce	VERB
ejpam-3199	39	11	burau	burau	ADJ
ejpam-3199	39	12	representation	representation	NOUN
ejpam-3199	39	13	of	of	ADP
ejpam-3199	39	14	degree	degree	NOUN
ejpam-3199	39	15	n	n	ADP
ejpam-3199	39	16	to	to	ADP
ejpam-3199	39	17	a	a	DET
ejpam-3199	39	18	representation	representation	NOUN
ejpam-3199	39	19	of	of	ADP
ejpam-3199	39	20	bn+1	bn+1	NUM
ejpam-3199	39	21	of	of	ADP
ejpam-3199	39	22	degree	degree	NOUN
ejpam-3199	39	23	2n	2n	NUM
ejpam-3199	39	24	.	.	PUNCT
ejpam-3199	40	1	the	the	DET
ejpam-3199	40	2	reduced	reduce	VERB
ejpam-3199	40	3	barau	barau	NOUN
ejpam-3199	40	4	representation	representation	NOUN
ejpam-3199	40	5	bn+1	bn+1	NUM
ejpam-3199	40	6	→	→	SYM
ejpam-3199	40	7	gln(z[t	gln(z[t	NOUN
ejpam-3199	40	8	,	,	PUNCT
ejpam-3199	40	9	t−1	t−1	PROPN
ejpam-3199	40	10	]	]	PUNCT
ejpam-3199	40	11	)	)	PUNCT
ejpam-3199	40	12	is	be	AUX
ejpam-3199	40	13	defined	define	VERB
ejpam-3199	40	14	as	as	SCONJ
ejpam-3199	40	15	follows	follow	VERB
ejpam-3199	40	16	:	:	PUNCT
ejpam-3199	40	17	σi	σi	X
ejpam-3199	40	18	→	→	SYM
ejpam-3199	40	19	ji	ji	PROPN
ejpam-3199	40	20	=	=	NOUN
ejpam-3199	40	21			NOUN
ejpam-3199	40	22	ii−2	ii−2	VERB
ejpam-3199	40	23	0	0	NUM
ejpam-3199	40	24	0	0	NUM
ejpam-3199	40	25	0	0	NUM
ejpam-3199	40	26	1	1	NUM
ejpam-3199	40	27	0	0	NUM
ejpam-3199	40	28	0	0	NUM
ejpam-3199	40	29	t	t	NOUN
ejpam-3199	40	30	−t	−t	NOUN
ejpam-3199	40	31	1	1	NUM
ejpam-3199	40	32	0	0	NUM
ejpam-3199	40	33	0	0	NUM
ejpam-3199	40	34	1	1	NUM
ejpam-3199	40	35	0	0	NUM
ejpam-3199	40	36	0	0	NUM
ejpam-3199	40	37	0	0	NUM
ejpam-3199	40	38	in−i−1	in−i−1	PROPN
ejpam-3199	40	39			NOUN
ejpam-3199	40	40	,	,	PUNCT
ejpam-3199	40	41	where	where	SCONJ
ejpam-3199	40	42	ik	ik	PROPN
ejpam-3199	40	43	stands	stand	VERB
ejpam-3199	40	44	for	for	ADP
ejpam-3199	40	45	the	the	DET
ejpam-3199	40	46	k	k	PROPN
ejpam-3199	40	47	×	×	PROPN
ejpam-3199	40	48	k	k	PROPN
ejpam-3199	40	49	identity	identity	NOUN
ejpam-3199	40	50	matrix	matrix	NOUN
ejpam-3199	40	51	.	.	PUNCT
ejpam-3199	41	1	here	here	ADV
ejpam-3199	41	2	,	,	PUNCT
ejpam-3199	41	3	i	i	PRON
ejpam-3199	41	4	=	=	NOUN
ejpam-3199	41	5	2	2	NUM
ejpam-3199	41	6	,	,	PUNCT
ejpam-3199	41	7	.	.	PUNCT
ejpam-3199	41	8	.	.	PUNCT
ejpam-3199	41	9	.	.	PUNCT
ejpam-3199	42	1	,	,	PUNCT
ejpam-3199	42	2	n−	n−	NOUN
ejpam-3199	42	3	1	1	NUM
ejpam-3199	42	4	.	.	PUNCT
ejpam-3199	43	1	σ1	σ1	PROPN
ejpam-3199	43	2	→	→	SYM
ejpam-3199	43	3	j1	j1	PROPN
ejpam-3199	43	4	=	=	PUNCT
ejpam-3199	44	1			PROPN
ejpam-3199	44	2	−t	−t	NOUN
ejpam-3199	44	3	1	1	NUM
ejpam-3199	44	4	0	0	NUM
ejpam-3199	44	5	1	1	NUM
ejpam-3199	44	6	0	0	NUM
ejpam-3199	44	7	0	0	NUM
ejpam-3199	44	8	in−2	in−2	PROPN
ejpam-3199	44	9			PROPN
ejpam-3199	44	10	σn	σn	NOUN
ejpam-3199	44	11	→	→	SYM
ejpam-3199	44	12	jn	jn	PROPN
ejpam-3199	45	1	=	=	SYM
ejpam-3199	46	1			PROPN
ejpam-3199	46	2	in−2	in−2	PROPN
ejpam-3199	46	3	0	0	NUM
ejpam-3199	46	4	0	0	NUM
ejpam-3199	46	5	1	1	NUM
ejpam-3199	46	6	0	0	NUM
ejpam-3199	46	7	t	t	NOUN
ejpam-3199	46	8	−t	−t	NOUN
ejpam-3199	46	9			PROPN
ejpam-3199	46	10	m.	m.	NOUN
ejpam-3199	46	11	dally	dally	ADV
ejpam-3199	46	12	,	,	PUNCT
ejpam-3199	46	13	m.	m.	NOUN
ejpam-3199	46	14	abdulrahim	abdulrahim	PROPN
ejpam-3199	46	15	/	/	SYM
ejpam-3199	46	16	eur	eur	PROPN
ejpam-3199	46	17	.	.	PUNCT
ejpam-3199	47	1	j.	j.	PROPN
ejpam-3199	47	2	pure	pure	PROPN
ejpam-3199	47	3	appl	appl	PROPN
ejpam-3199	47	4	.	.	PROPN
ejpam-3199	47	5	math	math	PROPN
ejpam-3199	47	6	,	,	PUNCT
ejpam-3199	47	7	11	11	NUM
ejpam-3199	47	8	(	(	PUNCT
ejpam-3199	47	9	1	1	NUM
ejpam-3199	47	10	)	)	PUNCT
ejpam-3199	47	11	(	(	PUNCT
ejpam-3199	47	12	2018	2018	NUM
ejpam-3199	47	13	)	)	PUNCT
ejpam-3199	47	14	,	,	PUNCT
ejpam-3199	47	15	215	215	NUM
ejpam-3199	47	16	-	-	SYM
ejpam-3199	47	17	237	237	NUM
ejpam-3199	47	18	217	217	NUM
ejpam-3199	47	19	for	for	ADP
ejpam-3199	47	20	more	more	ADJ
ejpam-3199	47	21	details	detail	NOUN
ejpam-3199	47	22	,	,	PUNCT
ejpam-3199	47	23	see	see	VERB
ejpam-3199	47	24	[	[	X
ejpam-3199	47	25	2	2	X
ejpam-3199	47	26	]	]	PUNCT
ejpam-3199	47	27	and	and	CCONJ
ejpam-3199	47	28	[	[	X
ejpam-3199	47	29	5	5	NUM
ejpam-3199	47	30	]	]	PUNCT
ejpam-3199	47	31	.	.	PUNCT
ejpam-3199	48	1	3	3	X
ejpam-3199	48	2	.	.	X
ejpam-3199	48	3	perron	perron	PROPN
ejpam-3199	48	4	representation	representation	NOUN
ejpam-3199	48	5	the	the	DET
ejpam-3199	48	6	burau	burau	ADJ
ejpam-3199	48	7	bis	bis	ADJ
ejpam-3199	48	8	representation	representation	NOUN
ejpam-3199	48	9	extends	extend	VERB
ejpam-3199	48	10	to	to	ADP
ejpam-3199	48	11	a(en+1,p	a(en+1,p	NOUN
ejpam-3199	48	12	)	)	PUNCT
ejpam-3199	48	13	for	for	ADP
ejpam-3199	48	14	all	all	DET
ejpam-3199	48	15	possible	possible	ADJ
ejpam-3199	48	16	values	value	NOUN
ejpam-3199	48	17	of	of	ADP
ejpam-3199	48	18	n	n	PRON
ejpam-3199	48	19	and	and	CCONJ
ejpam-3199	48	20	p	p	NOUN
ejpam-3199	48	21	in	in	ADP
ejpam-3199	48	22	the	the	DET
ejpam-3199	48	23	following	following	ADJ
ejpam-3199	48	24	way	way	NOUN
ejpam-3199	48	25	.	.	PUNCT
ejpam-3199	49	1	we	we	PRON
ejpam-3199	49	2	define	define	VERB
ejpam-3199	49	3	the	the	DET
ejpam-3199	49	4	following	follow	VERB
ejpam-3199	49	5	n×	n×	PROPN
ejpam-3199	49	6	n	n	DET
ejpam-3199	49	7	matrices	matrix	NOUN
ejpam-3199	49	8	:	:	PUNCT
ejpam-3199	49	9	a	a	PRON
ejpam-3199	49	10	=	=	X
ejpam-3199	49	11	(	(	PUNCT
ejpam-3199	49	12	λ1b	λ1b	PROPN
ejpam-3199	49	13	,	,	PUNCT
ejpam-3199	49	14	λ2b	λ2b	PROPN
ejpam-3199	49	15	,	,	PUNCT
ejpam-3199	49	16	.	.	PUNCT
ejpam-3199	49	17	.	.	PUNCT
ejpam-3199	49	18	.	.	PUNCT
ejpam-3199	50	1	,	,	PUNCT
ejpam-3199	50	2	λnb	λnb	PROPN
ejpam-3199	50	3	)	)	PUNCT
ejpam-3199	50	4	b	b	NOUN
ejpam-3199	50	5	=	=	SYM
ejpam-3199	50	6	(	(	PUNCT
ejpam-3199	50	7	0	0	NUM
ejpam-3199	50	8	,	,	PUNCT
ejpam-3199	50	9	.	.	PUNCT
ejpam-3199	50	10	.	.	PUNCT
ejpam-3199	51	1	.	.	PUNCT
ejpam-3199	52	1	,	,	PUNCT
ejpam-3199	52	2	0	0	NUM
ejpam-3199	52	3	,	,	PUNCT
ejpam-3199	52	4	b	b	NOUN
ejpam-3199	52	5	,	,	PUNCT
ejpam-3199	52	6	0	0	NUM
ejpam-3199	52	7	,	,	PUNCT
ejpam-3199	52	8	.	.	PUNCT
ejpam-3199	52	9	.	.	PUNCT
ejpam-3199	53	1	.	.	PUNCT
ejpam-3199	54	1	,	,	PUNCT
ejpam-3199	54	2	0	0	X
ejpam-3199	54	3	)	)	PUNCT
ejpam-3199	54	4	c	c	NOUN
ejpam-3199	54	5	=	=	SYM
ejpam-3199	54	6	(	(	PUNCT
ejpam-3199	54	7	λ1d	λ1d	X
ejpam-3199	54	8	,	,	PUNCT
ejpam-3199	54	9	λ2d	λ2d	ADP
ejpam-3199	54	10	,	,	PUNCT
ejpam-3199	54	11	.	.	PUNCT
ejpam-3199	54	12	.	.	PUNCT
ejpam-3199	55	1	.	.	PUNCT
ejpam-3199	56	1	,	,	PUNCT
ejpam-3199	56	2	λnd	λnd	PROPN
ejpam-3199	56	3	)	)	PUNCT
ejpam-3199	56	4	d	d	NOUN
ejpam-3199	56	5	=	=	SYM
ejpam-3199	56	6	(	(	PUNCT
ejpam-3199	56	7	0	0	NUM
ejpam-3199	56	8	,	,	PUNCT
ejpam-3199	56	9	.	.	PUNCT
ejpam-3199	56	10	.	.	PUNCT
ejpam-3199	56	11	.	.	PUNCT
ejpam-3199	57	1	,	,	PUNCT
ejpam-3199	57	2	0	0	NUM
ejpam-3199	57	3	,	,	PUNCT
ejpam-3199	57	4	d	d	NOUN
ejpam-3199	57	5	,	,	PUNCT
ejpam-3199	57	6	0	0	NUM
ejpam-3199	57	7	,	,	PUNCT
ejpam-3199	57	8	.	.	PUNCT
ejpam-3199	57	9	.	.	PUNCT
ejpam-3199	58	1	.	.	PUNCT
ejpam-3199	59	1	,	,	PUNCT
ejpam-3199	59	2	0	0	NUM
ejpam-3199	59	3	)	)	PUNCT
ejpam-3199	59	4	,	,	PUNCT
ejpam-3199	59	5	where	where	SCONJ
ejpam-3199	59	6	0	0	NUM
ejpam-3199	59	7	denotes	denote	VERB
ejpam-3199	59	8	a	a	DET
ejpam-3199	59	9	column	column	NOUN
ejpam-3199	59	10	of	of	ADP
ejpam-3199	59	11	n	n	PROPN
ejpam-3199	59	12	zeros	zero	NOUN
ejpam-3199	59	13	,	,	PUNCT
ejpam-3199	59	14	b	b	X
ejpam-3199	59	15	=	=	SYM
ejpam-3199	59	16	b1	b1	NOUN
ejpam-3199	59	17	...	...	PUNCT
ejpam-3199	60	1	bn	bn	ADP
ejpam-3199	60	2			NOUN
ejpam-3199	60	3	,	,	PUNCT
ejpam-3199	60	4	d	d	X
ejpam-3199	60	5	=	=	PUNCT
ejpam-3199	60	6	d1	d1	ADJ
ejpam-3199	60	7	...	...	PUNCT
ejpam-3199	60	8	dn	dn	PROPN
ejpam-3199	60	9			PROPN
ejpam-3199	60	10	,	,	PUNCT
ejpam-3199	60	11	and	and	CCONJ
ejpam-3199	60	12	λ	λ	X
ejpam-3199	60	13	=	=	SYM
ejpam-3199	60	14	(	(	PUNCT
ejpam-3199	60	15	λ1	λ1	ADJ
ejpam-3199	60	16	,	,	PUNCT
ejpam-3199	60	17	.	.	PUNCT
ejpam-3199	60	18	.	.	PUNCT
ejpam-3199	60	19	.	.	PUNCT
ejpam-3199	61	1	,	,	PUNCT
ejpam-3199	61	2	λn	λn	NOUN
ejpam-3199	61	3	)	)	PUNCT
ejpam-3199	61	4	.	.	PUNCT
ejpam-3199	62	1	for	for	ADP
ejpam-3199	62	2	each	each	DET
ejpam-3199	62	3	i	i	NOUN
ejpam-3199	62	4	=	=	NOUN
ejpam-3199	62	5	1	1	NUM
ejpam-3199	62	6	,	,	PUNCT
ejpam-3199	62	7	.	.	PUNCT
ejpam-3199	62	8	.	.	PUNCT
ejpam-3199	62	9	.	.	PUNCT
ejpam-3199	63	1	,	,	PUNCT
ejpam-3199	63	2	n	n	CCONJ
ejpam-3199	63	3	,	,	PUNCT
ejpam-3199	63	4	we	we	PRON
ejpam-3199	63	5	have	have	VERB
ejpam-3199	63	6	that	that	SCONJ
ejpam-3199	63	7	bi	bi	NOUN
ejpam-3199	63	8	satisfies	satisfie	NOUN
ejpam-3199	63	9	the	the	DET
ejpam-3199	63	10	following	follow	VERB
ejpam-3199	63	11	conditions	condition	NOUN
ejpam-3199	64	1	tbi	tbi	NOUN
ejpam-3199	64	2	=	=	PUNCT
ejpam-3199	64	3	−tdi−1	−tdi−1	NOUN
ejpam-3199	64	4	+	+	CCONJ
ejpam-3199	64	5	(	(	PUNCT
ejpam-3199	64	6	1	1	NUM
ejpam-3199	64	7	+	+	NUM
ejpam-3199	64	8	t)di	t)di	PROPN
ejpam-3199	64	9	−	−	NOUN
ejpam-3199	64	10	di+1	di+1	NOUN
ejpam-3199	64	11	,	,	PUNCT
ejpam-3199	64	12	i	i	PRON
ejpam-3199	64	13	6=	6=	PROPN
ejpam-3199	64	14	p	p	X
ejpam-3199	64	15	,	,	PUNCT
ejpam-3199	64	16	tbp	tbp	NOUN
ejpam-3199	64	17	=	=	NOUN
ejpam-3199	64	18	−tdp−1	−tdp−1	VERB
ejpam-3199	64	19	+	+	CCONJ
ejpam-3199	64	20	(	(	PUNCT
ejpam-3199	64	21	1	1	NUM
ejpam-3199	64	22	+	+	NUM
ejpam-3199	64	23	t)dp	t)dp	PROPN
ejpam-3199	64	24	−	−	PROPN
ejpam-3199	64	25	dp+1	dp+1	PROPN
ejpam-3199	64	26	+	+	CCONJ
ejpam-3199	64	27	t	t	PROPN
ejpam-3199	64	28	,	,	PUNCT
ejpam-3199	64	29	n∑	n∑	NOUN
ejpam-3199	64	30	i=1	i=1	PROPN
ejpam-3199	64	31	λibi	λibi	NOUN
ejpam-3199	64	32	=	=	PUNCT
ejpam-3199	65	1	−(1	−(1	NOUN
ejpam-3199	65	2	+	+	CCONJ
ejpam-3199	65	3	dp	dp	PROPN
ejpam-3199	65	4	+	+	X
ejpam-3199	65	5	t	t	PROPN
ejpam-3199	65	6	)	)	PUNCT
ejpam-3199	65	7	,	,	PUNCT
ejpam-3199	65	8	setting	set	VERB
ejpam-3199	65	9	any	any	DET
ejpam-3199	65	10	undefined	undefined	ADJ
ejpam-3199	65	11	dj	dj	NOUN
ejpam-3199	65	12	equal	equal	ADJ
ejpam-3199	65	13	zero	zero	NUM
ejpam-3199	65	14	.	.	PUNCT
ejpam-3199	66	1	for	for	ADP
ejpam-3199	66	2	any	any	DET
ejpam-3199	66	3	choice	choice	NOUN
ejpam-3199	66	4	λ	λ	X
ejpam-3199	66	5	=	=	SYM
ejpam-3199	66	6	(	(	PUNCT
ejpam-3199	66	7	λ1	λ1	ADJ
ejpam-3199	66	8	,	,	PUNCT
ejpam-3199	66	9	.	.	PUNCT
ejpam-3199	66	10	.	.	PUNCT
ejpam-3199	66	11	.	.	PUNCT
ejpam-3199	67	1	,	,	PUNCT
ejpam-3199	67	2	λn	λn	NOUN
ejpam-3199	67	3	)	)	PUNCT
ejpam-3199	67	4	,	,	PUNCT
ejpam-3199	67	5	we	we	PRON
ejpam-3199	67	6	get	get	VERB
ejpam-3199	67	7	a	a	DET
ejpam-3199	67	8	linear	linear	ADJ
ejpam-3199	67	9	representation	representation	NOUN
ejpam-3199	67	10	ψλ	ψλ	ADP
ejpam-3199	67	11	:	:	PUNCT
ejpam-3199	67	12	a(en+1,p)→	a(en+1,p)→	PROPN
ejpam-3199	67	13	gl2n(r	gl2n(r	PROPN
ejpam-3199	67	14	)	)	PUNCT
ejpam-3199	67	15	,	,	PUNCT
ejpam-3199	67	16	where	where	SCONJ
ejpam-3199	67	17	r	r	NOUN
ejpam-3199	67	18	is	be	AUX
ejpam-3199	67	19	the	the	DET
ejpam-3199	67	20	field	field	NOUN
ejpam-3199	67	21	of	of	ADP
ejpam-3199	67	22	rational	rational	ADJ
ejpam-3199	67	23	fractions	fraction	NOUN
ejpam-3199	67	24	in	in	ADP
ejpam-3199	67	25	n+1	n+1	PROPN
ejpam-3199	67	26	indeterminates	indeterminate	VERB
ejpam-3199	67	27	q(t	q(t	PROPN
ejpam-3199	67	28	,	,	PUNCT
ejpam-3199	67	29	d1	d1	NOUN
ejpam-3199	67	30	,	,	PUNCT
ejpam-3199	67	31	...	...	PUNCT
ejpam-3199	67	32	,	,	PUNCT
ejpam-3199	67	33	dn	dn	PROPN
ejpam-3199	67	34	)	)	PUNCT
ejpam-3199	67	35	.	.	PUNCT
ejpam-3199	68	1	ψλ(σi)→	ψλ(σi)→	PROPN
ejpam-3199	69	1	(	(	PUNCT
ejpam-3199	69	2	in	in	ADP
ejpam-3199	69	3	0	0	NUM
ejpam-3199	69	4	ri	ri	PROPN
ejpam-3199	69	5	ji	ji	PROPN
ejpam-3199	69	6	)	)	PUNCT
ejpam-3199	69	7	,	,	PUNCT
ejpam-3199	69	8	ψλ(δ)→	ψλ(δ)→	PROPN
ejpam-3199	69	9	(	(	PUNCT
ejpam-3199	69	10	in	in	ADP
ejpam-3199	69	11	+	+	PROPN
ejpam-3199	69	12	a	a	DET
ejpam-3199	69	13	b	b	NOUN
ejpam-3199	69	14	c	c	NOUN
ejpam-3199	69	15	in	in	ADP
ejpam-3199	69	16	+	+	NOUN
ejpam-3199	69	17	d	d	NOUN
ejpam-3199	69	18	)	)	PUNCT
ejpam-3199	69	19	.	.	PUNCT
ejpam-3199	70	1	for	for	ADP
ejpam-3199	70	2	more	more	ADJ
ejpam-3199	70	3	details	detail	NOUN
ejpam-3199	70	4	,	,	PUNCT
ejpam-3199	70	5	see	see	VERB
ejpam-3199	70	6	[	[	X
ejpam-3199	70	7	2	2	NUM
ejpam-3199	70	8	]	]	PUNCT
ejpam-3199	70	9	.	.	PUNCT
ejpam-3199	71	1	m.	m.	PROPN
ejpam-3199	71	2	dally	dally	ADV
ejpam-3199	71	3	,	,	PUNCT
ejpam-3199	71	4	m.	m.	NOUN
ejpam-3199	71	5	abdulrahim	abdulrahim	PROPN
ejpam-3199	71	6	/	/	SYM
ejpam-3199	71	7	eur	eur	PROPN
ejpam-3199	71	8	.	.	PUNCT
ejpam-3199	72	1	j.	j.	PROPN
ejpam-3199	72	2	pure	pure	PROPN
ejpam-3199	72	3	appl	appl	PROPN
ejpam-3199	72	4	.	.	PROPN
ejpam-3199	72	5	math	math	PROPN
ejpam-3199	72	6	,	,	PUNCT
ejpam-3199	72	7	11	11	NUM
ejpam-3199	72	8	(	(	PUNCT
ejpam-3199	72	9	1	1	NUM
ejpam-3199	72	10	)	)	PUNCT
ejpam-3199	72	11	(	(	PUNCT
ejpam-3199	72	12	2018	2018	NUM
ejpam-3199	72	13	)	)	PUNCT
ejpam-3199	72	14	,	,	PUNCT
ejpam-3199	72	15	215	215	NUM
ejpam-3199	72	16	-	-	SYM
ejpam-3199	72	17	237	237	NUM
ejpam-3199	72	18	218	218	NUM
ejpam-3199	72	19	4	4	NUM
ejpam-3199	72	20	.	.	PUNCT
ejpam-3199	73	1	reducibility	reducibility	NOUN
ejpam-3199	73	2	of	of	ADP
ejpam-3199	73	3	ψλ	ψλ	ADP
ejpam-3199	73	4	:	:	PUNCT
ejpam-3199	73	5	a(e4,1	a(e4,1	NOUN
ejpam-3199	73	6	)	)	PUNCT
ejpam-3199	73	7	→	→	SYM
ejpam-3199	73	8	gl6(c	gl6(c	PROPN
ejpam-3199	73	9	)	)	PUNCT
ejpam-3199	73	10	having	having	AUX
ejpam-3199	73	11	defined	define	VERB
ejpam-3199	73	12	perron	perron	PROPN
ejpam-3199	73	13	’s	’s	PART
ejpam-3199	73	14	representation	representation	NOUN
ejpam-3199	73	15	,	,	PUNCT
ejpam-3199	73	16	we	we	PRON
ejpam-3199	73	17	set	set	VERB
ejpam-3199	73	18	n	n	NOUN
ejpam-3199	73	19	=	=	SYM
ejpam-3199	73	20	3	3	NUM
ejpam-3199	73	21	and	and	CCONJ
ejpam-3199	73	22	p	p	NOUN
ejpam-3199	73	23	=	=	NOUN
ejpam-3199	73	24	1	1	NUM
ejpam-3199	73	25	to	to	PART
ejpam-3199	73	26	get	get	VERB
ejpam-3199	73	27	the	the	DET
ejpam-3199	73	28	following	follow	VERB
ejpam-3199	73	29	vectors	vector	NOUN
ejpam-3199	73	30	.	.	PUNCT
ejpam-3199	74	1	b	b	X
ejpam-3199	74	2	=	=	SYM
ejpam-3199	74	3	b1b2	b1b2	PROPN
ejpam-3199	74	4	b3	b3	PROPN
ejpam-3199	74	5			PROPN
ejpam-3199	74	6	,	,	PUNCT
ejpam-3199	74	7	d	d	X
ejpam-3199	74	8	=	=	PUNCT
ejpam-3199	74	9	d1d2	d1d2	PRON
ejpam-3199	74	10	d3	d3	VERB
ejpam-3199	74	11			PROPN
ejpam-3199	74	12	,	,	PUNCT
ejpam-3199	74	13	and	and	CCONJ
ejpam-3199	74	14	λ	λ	X
ejpam-3199	74	15	=	=	SYM
ejpam-3199	74	16	(	(	PUNCT
ejpam-3199	74	17	λ1	λ1	ADJ
ejpam-3199	74	18	,	,	PUNCT
ejpam-3199	74	19	λ2	λ2	PROPN
ejpam-3199	74	20	,	,	PUNCT
ejpam-3199	74	21	λ3	λ3	PROPN
ejpam-3199	74	22	)	)	PUNCT
ejpam-3199	74	23	.	.	PUNCT
ejpam-3199	75	1	after	after	SCONJ
ejpam-3199	75	2	we	we	PRON
ejpam-3199	75	3	specialize	specialize	VERB
ejpam-3199	75	4	the	the	DET
ejpam-3199	75	5	indeterminate	indeterminate	ADJ
ejpam-3199	75	6	d3	d3	PROPN
ejpam-3199	75	7	to	to	ADP
ejpam-3199	75	8	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	75	9	)	)	PUNCT
ejpam-3199	75	10	1+t	1+t	NUM
ejpam-3199	75	11	,	,	PUNCT
ejpam-3199	75	12	we	we	PRON
ejpam-3199	75	13	get	get	VERB
ejpam-3199	75	14	the	the	DET
ejpam-3199	75	15	following	follow	VERB
ejpam-3199	75	16	3	3	NUM
ejpam-3199	75	17	×	×	NOUN
ejpam-3199	75	18	3	3	NUM
ejpam-3199	75	19	matrices	matrix	NOUN
ejpam-3199	75	20	:	:	PUNCT
ejpam-3199	75	21	a	a	DET
ejpam-3199	75	22	=	=	X
ejpam-3199	75	23	λ1b1	λ1b1	PROPN
ejpam-3199	75	24	λ2b1	λ2b1	PUNCT
ejpam-3199	75	25	λ3b1	λ3b1	X
ejpam-3199	75	26	λ1b2	λ1b2	X
ejpam-3199	76	1	λ2b2	λ2b2	X
ejpam-3199	76	2	λ3b2	λ3b2	X
ejpam-3199	76	3	λ1b3	λ1b3	ADP
ejpam-3199	76	4	λ2b3	λ2b3	X
ejpam-3199	76	5	λ3b3	λ3b3	X
ejpam-3199	76	6			PROPN
ejpam-3199	76	7	,	,	PUNCT
ejpam-3199	76	8	b	b	X
ejpam-3199	76	9	=	=	PUNCT
ejpam-3199	76	10	b1	b1	ADJ
ejpam-3199	76	11	0	0	NUM
ejpam-3199	76	12	0	0	NUM
ejpam-3199	76	13	b2	b2	NOUN
ejpam-3199	76	14	0	0	NUM
ejpam-3199	76	15	0	0	NUM
ejpam-3199	76	16	b3	b3	PROPN
ejpam-3199	76	17	0	0	NUM
ejpam-3199	76	18	0	0	NUM
ejpam-3199	77	1			PROPN
ejpam-3199	77	2	,	,	PUNCT
ejpam-3199	77	3	c	c	NOUN
ejpam-3199	77	4	=	=	SYM
ejpam-3199	77	5			X
ejpam-3199	77	6	λ1d1	λ1d1	X
ejpam-3199	77	7	λ2d1	λ2d1	X
ejpam-3199	77	8	λ3d1	λ3d1	X
ejpam-3199	77	9	λ1d2	λ1d2	X
ejpam-3199	77	10	λ2d2	λ2d2	X
ejpam-3199	77	11	λ3d2	λ3d2	ADP
ejpam-3199	77	12	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	77	13	)	)	PUNCT
ejpam-3199	77	14	1+t	1+t	NUM
ejpam-3199	77	15	λ1	λ1	ADJ
ejpam-3199	77	16	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	77	17	)	)	PUNCT
ejpam-3199	77	18	1+t	1+t	NUM
ejpam-3199	77	19	λ2	λ2	NOUN
ejpam-3199	77	20	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	77	21	)	)	PUNCT
ejpam-3199	77	22	1+t	1+t	NUM
ejpam-3199	78	1	λ3	λ3	PROPN
ejpam-3199	78	2			PROPN
ejpam-3199	78	3	,	,	PUNCT
ejpam-3199	78	4	and	and	CCONJ
ejpam-3199	78	5	d	d	NOUN
ejpam-3199	78	6	=	=	PRON
ejpam-3199	78	7			X
ejpam-3199	78	8	d1	d1	PROPN
ejpam-3199	78	9	0	0	NUM
ejpam-3199	78	10	0	0	NUM
ejpam-3199	78	11	d2	d2	NOUN
ejpam-3199	78	12	0	0	NUM
ejpam-3199	78	13	0	0	NUM
ejpam-3199	78	14	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	78	15	)	)	PUNCT
ejpam-3199	78	16	1+t	1+t	NUM
ejpam-3199	78	17	0	0	NUM
ejpam-3199	78	18	0	0	NUM
ejpam-3199	78	19			PROPN
ejpam-3199	78	20	.	.	PUNCT
ejpam-3199	79	1	simple	simple	ADJ
ejpam-3199	79	2	computations	computation	NOUN
ejpam-3199	79	3	show	show	VERB
ejpam-3199	79	4	that	that	SCONJ
ejpam-3199	79	5	the	the	DET
ejpam-3199	79	6	parameters	parameter	NOUN
ejpam-3199	79	7	satisfy	satisfy	VERB
ejpam-3199	79	8	the	the	DET
ejpam-3199	79	9	following	follow	VERB
ejpam-3199	79	10	equations	equation	NOUN
ejpam-3199	79	11	:	:	PUNCT
ejpam-3199	79	12	•	•	NUM
ejpam-3199	79	13	tb2	tb2	PROPN
ejpam-3199	79	14	=	=	PUNCT
ejpam-3199	80	1	−td1	−td1	PRON
ejpam-3199	80	2	+	+	CCONJ
ejpam-3199	80	3	(	(	PUNCT
ejpam-3199	80	4	1	1	NUM
ejpam-3199	80	5	+	+	NUM
ejpam-3199	80	6	t)d2	t)d2	PROPN
ejpam-3199	80	7	+	+	NUM
ejpam-3199	80	8	t(1+t+t2	t(1+t+t2	PROPN
ejpam-3199	80	9	)	)	PUNCT
ejpam-3199	80	10	1+t	1+t	NUM
ejpam-3199	80	11	•	•	NOUN
ejpam-3199	80	12	tb3	tb3	NOUN
ejpam-3199	80	13	=	=	SYM
ejpam-3199	80	14	−td2	−td2	X
ejpam-3199	80	15	−	−	PROPN
ejpam-3199	80	16	t(1	t(1	NOUN
ejpam-3199	80	17	+	+	CCONJ
ejpam-3199	80	18	t+	t+	NOUN
ejpam-3199	80	19	t2	t2	NOUN
ejpam-3199	80	20	)	)	PUNCT
ejpam-3199	80	21	•	•	NOUN
ejpam-3199	80	22	tb1	tb1	NOUN
ejpam-3199	80	23	=	=	SYM
ejpam-3199	80	24	(	(	PUNCT
ejpam-3199	80	25	1	1	NUM
ejpam-3199	80	26	+	+	NUM
ejpam-3199	80	27	t)d1	t)d1	PROPN
ejpam-3199	80	28	−	−	PROPN
ejpam-3199	80	29	d2	d2	PROPN
ejpam-3199	80	30	+	+	PROPN
ejpam-3199	80	31	t	t	PROPN
ejpam-3199	80	32	•	•	NUM
ejpam-3199	80	33	λ1b1	λ1b1	PUNCT
ejpam-3199	81	1	+	+	PUNCT
ejpam-3199	81	2	λ2b2	λ2b2	X
ejpam-3199	81	3	+	+	CCONJ
ejpam-3199	81	4	λ3b3	λ3b3	X
ejpam-3199	81	5	=	=	SYM
ejpam-3199	81	6	−(1	−(1	NOUN
ejpam-3199	81	7	+	+	CCONJ
ejpam-3199	81	8	t+	t+	NOUN
ejpam-3199	81	9	d1	d1	NOUN
ejpam-3199	81	10	)	)	PUNCT
ejpam-3199	81	11	having	having	AUX
ejpam-3199	81	12	defined	define	VERB
ejpam-3199	81	13	the	the	DET
ejpam-3199	81	14	3	3	NUM
ejpam-3199	81	15	×	×	NOUN
ejpam-3199	81	16	3	3	NUM
ejpam-3199	81	17	matrices	matrix	NOUN
ejpam-3199	81	18	a	a	DET
ejpam-3199	81	19	,	,	PUNCT
ejpam-3199	81	20	b	b	NOUN
ejpam-3199	81	21	,	,	PUNCT
ejpam-3199	81	22	c	c	PROPN
ejpam-3199	81	23	and	and	CCONJ
ejpam-3199	81	24	d	d	X
ejpam-3199	81	25	,	,	PUNCT
ejpam-3199	81	26	we	we	PRON
ejpam-3199	81	27	obtain	obtain	VERB
ejpam-3199	81	28	the	the	DET
ejpam-3199	81	29	multiparameter	multiparameter	NOUN
ejpam-3199	81	30	representation	representation	NOUN
ejpam-3199	81	31	a(e4,1	a(e4,1	NOUN
ejpam-3199	81	32	)	)	PUNCT
ejpam-3199	81	33	.	.	PUNCT
ejpam-3199	82	1	this	this	DET
ejpam-3199	82	2	representation	representation	NOUN
ejpam-3199	82	3	is	be	AUX
ejpam-3199	82	4	of	of	ADP
ejpam-3199	82	5	degree	degree	NOUN
ejpam-3199	82	6	6	6	NUM
ejpam-3199	82	7	.	.	PUNCT
ejpam-3199	83	1	we	we	PRON
ejpam-3199	83	2	specialize	specialize	VERB
ejpam-3199	83	3	the	the	DET
ejpam-3199	83	4	parameters	parameter	NOUN
ejpam-3199	83	5	λ1	λ1	ADJ
ejpam-3199	83	6	,	,	PUNCT
ejpam-3199	83	7	λ2	λ2	PROPN
ejpam-3199	83	8	,	,	PUNCT
ejpam-3199	83	9	λ3	λ3	PROPN
ejpam-3199	83	10	,	,	PUNCT
ejpam-3199	83	11	b1	b1	NOUN
ejpam-3199	83	12	,	,	PUNCT
ejpam-3199	83	13	b2	b2	NOUN
ejpam-3199	83	14	,	,	PUNCT
ejpam-3199	83	15	b3	b3	NOUN
ejpam-3199	83	16	,	,	PUNCT
ejpam-3199	83	17	d1	d1	PROPN
ejpam-3199	83	18	,	,	PUNCT
ejpam-3199	83	19	d2	d2	PROPN
ejpam-3199	83	20	,	,	PUNCT
ejpam-3199	83	21	t	t	NOUN
ejpam-3199	83	22	to	to	ADP
ejpam-3199	83	23	values	value	NOUN
ejpam-3199	83	24	in	in	ADP
ejpam-3199	83	25	c	c	PROPN
ejpam-3199	83	26	−	−	PROPN
ejpam-3199	83	27	{	{	PUNCT
ejpam-3199	83	28	0	0	NUM
ejpam-3199	83	29	}	}	PUNCT
ejpam-3199	83	30	.	.	PUNCT
ejpam-3199	84	1	we	we	PRON
ejpam-3199	84	2	further	far	ADV
ejpam-3199	84	3	assume	assume	VERB
ejpam-3199	84	4	that	that	SCONJ
ejpam-3199	84	5	t	t	PROPN
ejpam-3199	84	6	6=	6=	ADP
ejpam-3199	84	7	−1	−1	NOUN
ejpam-3199	84	8	.	.	PUNCT
ejpam-3199	85	1	the	the	DET
ejpam-3199	85	2	representation	representation	NOUN
ejpam-3199	85	3	ψλ	ψλ	ADP
ejpam-3199	85	4	:	:	PUNCT
ejpam-3199	85	5	a(e4,1)→	a(e4,1)→	NOUN
ejpam-3199	85	6	gl6(c	gl6(c	NOUN
ejpam-3199	85	7	)	)	PUNCT
ejpam-3199	85	8	is	be	AUX
ejpam-3199	85	9	defined	define	VERB
ejpam-3199	85	10	as	as	SCONJ
ejpam-3199	85	11	follows	follow	VERB
ejpam-3199	85	12	:	:	PUNCT
ejpam-3199	85	13	m.	m.	NOUN
ejpam-3199	85	14	dally	dally	ADV
ejpam-3199	85	15	,	,	PUNCT
ejpam-3199	85	16	m.	m.	NOUN
ejpam-3199	85	17	abdulrahim	abdulrahim	PROPN
ejpam-3199	85	18	/	/	SYM
ejpam-3199	85	19	eur	eur	PROPN
ejpam-3199	85	20	.	.	PUNCT
ejpam-3199	86	1	j.	j.	PROPN
ejpam-3199	86	2	pure	pure	PROPN
ejpam-3199	86	3	appl	appl	PROPN
ejpam-3199	86	4	.	.	PROPN
ejpam-3199	86	5	math	math	PROPN
ejpam-3199	86	6	,	,	PUNCT
ejpam-3199	86	7	11	11	NUM
ejpam-3199	86	8	(	(	PUNCT
ejpam-3199	86	9	1	1	NUM
ejpam-3199	86	10	)	)	PUNCT
ejpam-3199	86	11	(	(	PUNCT
ejpam-3199	86	12	2018	2018	NUM
ejpam-3199	86	13	)	)	PUNCT
ejpam-3199	86	14	,	,	PUNCT
ejpam-3199	86	15	215	215	NUM
ejpam-3199	86	16	-	-	SYM
ejpam-3199	86	17	237	237	NUM
ejpam-3199	86	18	219	219	NUM
ejpam-3199	86	19	ψλ(σ1	ψλ(σ1	NUM
ejpam-3199	86	20	)	)	PUNCT
ejpam-3199	87	1	=	=	PRON
ejpam-3199	87	2			VERB
ejpam-3199	87	3	1	1	NUM
ejpam-3199	87	4	0	0	NUM
ejpam-3199	87	5	0	0	NUM
ejpam-3199	87	6	0	0	NUM
ejpam-3199	87	7	0	0	NUM
ejpam-3199	87	8	0	0	NUM
ejpam-3199	87	9	0	0	NUM
ejpam-3199	87	10	1	1	NUM
ejpam-3199	87	11	0	0	NUM
ejpam-3199	87	12	0	0	NUM
ejpam-3199	87	13	0	0	NUM
ejpam-3199	87	14	0	0	NUM
ejpam-3199	87	15	0	0	NUM
ejpam-3199	87	16	0	0	NUM
ejpam-3199	87	17	1	1	NUM
ejpam-3199	87	18	0	0	NUM
ejpam-3199	87	19	0	0	NUM
ejpam-3199	87	20	0	0	NUM
ejpam-3199	87	21	t	t	NOUN
ejpam-3199	87	22	0	0	NUM
ejpam-3199	87	23	0	0	NUM
ejpam-3199	87	24	−t	−t	NOUN
ejpam-3199	87	25	1	1	NUM
ejpam-3199	87	26	0	0	NUM
ejpam-3199	87	27	0	0	NUM
ejpam-3199	87	28	0	0	NUM
ejpam-3199	87	29	0	0	NUM
ejpam-3199	87	30	0	0	NUM
ejpam-3199	87	31	1	1	NUM
ejpam-3199	87	32	0	0	NUM
ejpam-3199	87	33	0	0	NUM
ejpam-3199	87	34	0	0	NUM
ejpam-3199	87	35	0	0	NUM
ejpam-3199	87	36	0	0	NUM
ejpam-3199	87	37	0	0	NUM
ejpam-3199	87	38	1	1	NUM
ejpam-3199	87	39			PROPN
ejpam-3199	87	40	,	,	PUNCT
ejpam-3199	87	41	ψλ(σ2	ψλ(σ2	NUM
ejpam-3199	87	42	)	)	PUNCT
ejpam-3199	87	43	=	=	PRON
ejpam-3199	87	44			VERB
ejpam-3199	88	1	1	1	NUM
ejpam-3199	88	2	0	0	NUM
ejpam-3199	88	3	0	0	NUM
ejpam-3199	88	4	0	0	NUM
ejpam-3199	88	5	0	0	NUM
ejpam-3199	88	6	0	0	NUM
ejpam-3199	88	7	0	0	NUM
ejpam-3199	88	8	1	1	NUM
ejpam-3199	88	9	0	0	NUM
ejpam-3199	88	10	0	0	NUM
ejpam-3199	88	11	0	0	NUM
ejpam-3199	88	12	0	0	NUM
ejpam-3199	88	13	0	0	NUM
ejpam-3199	88	14	0	0	NUM
ejpam-3199	88	15	1	1	NUM
ejpam-3199	88	16	0	0	NUM
ejpam-3199	88	17	0	0	NUM
ejpam-3199	88	18	0	0	NUM
ejpam-3199	88	19	0	0	NUM
ejpam-3199	88	20	0	0	NUM
ejpam-3199	88	21	0	0	NUM
ejpam-3199	88	22	1	1	NUM
ejpam-3199	88	23	0	0	NUM
ejpam-3199	88	24	0	0	NUM
ejpam-3199	88	25	0	0	NUM
ejpam-3199	89	1	t	t	NOUN
ejpam-3199	89	2	0	0	NUM
ejpam-3199	89	3	t	t	PROPN
ejpam-3199	89	4	−t	−t	NOUN
ejpam-3199	89	5	1	1	NUM
ejpam-3199	89	6	0	0	NUM
ejpam-3199	89	7	0	0	NUM
ejpam-3199	89	8	0	0	NUM
ejpam-3199	89	9	0	0	NUM
ejpam-3199	89	10	0	0	NUM
ejpam-3199	89	11	1	1	NUM
ejpam-3199	89	12			PROPN
ejpam-3199	89	13	,	,	PUNCT
ejpam-3199	89	14	ψλ(σ3	ψλ(σ3	NOUN
ejpam-3199	89	15	)	)	PUNCT
ejpam-3199	89	16	=	=	PRON
ejpam-3199	89	17			VERB
ejpam-3199	89	18	1	1	NUM
ejpam-3199	89	19	0	0	NUM
ejpam-3199	89	20	0	0	NUM
ejpam-3199	89	21	0	0	NUM
ejpam-3199	89	22	0	0	NUM
ejpam-3199	89	23	0	0	NUM
ejpam-3199	89	24	0	0	NUM
ejpam-3199	89	25	1	1	NUM
ejpam-3199	89	26	0	0	NUM
ejpam-3199	89	27	0	0	NUM
ejpam-3199	89	28	0	0	NUM
ejpam-3199	89	29	0	0	NUM
ejpam-3199	89	30	0	0	NUM
ejpam-3199	89	31	0	0	NUM
ejpam-3199	89	32	1	1	NUM
ejpam-3199	89	33	0	0	NUM
ejpam-3199	89	34	0	0	NUM
ejpam-3199	89	35	0	0	NUM
ejpam-3199	89	36	0	0	NUM
ejpam-3199	89	37	0	0	NUM
ejpam-3199	89	38	0	0	NUM
ejpam-3199	89	39	1	1	NUM
ejpam-3199	89	40	0	0	NUM
ejpam-3199	89	41	0	0	NUM
ejpam-3199	89	42	0	0	NUM
ejpam-3199	89	43	0	0	NUM
ejpam-3199	89	44	0	0	NUM
ejpam-3199	89	45	0	0	NUM
ejpam-3199	89	46	1	1	NUM
ejpam-3199	89	47	0	0	NUM
ejpam-3199	89	48	0	0	NUM
ejpam-3199	89	49	0	0	NUM
ejpam-3199	89	50	t	t	NOUN
ejpam-3199	89	51	0	0	NUM
ejpam-3199	89	52	t	t	PROPN
ejpam-3199	89	53	−t	−t	NOUN
ejpam-3199	89	54			PUNCT
ejpam-3199	89	55	,	,	PUNCT
ejpam-3199	89	56	and	and	CCONJ
ejpam-3199	89	57	ψλ(δ	ψλ(δ	PUNCT
ejpam-3199	89	58	)	)	PUNCT
ejpam-3199	90	1	=	=	PUNCT
ejpam-3199	90	2			NOUN
ejpam-3199	90	3	1	1	NUM
ejpam-3199	90	4	+	+	CCONJ
ejpam-3199	90	5	λ1b1	λ1b1	PUNCT
ejpam-3199	90	6	λ2b1	λ2b1	ADP
ejpam-3199	90	7	λ3b1	λ3b1	X
ejpam-3199	90	8	b1	b1	NOUN
ejpam-3199	90	9	0	0	NUM
ejpam-3199	90	10	0	0	NUM
ejpam-3199	91	1	λ1b2	λ1b2	ADP
ejpam-3199	91	2	1	1	NUM
ejpam-3199	91	3	+	+	CCONJ
ejpam-3199	91	4	λ2b2	λ2b2	X
ejpam-3199	91	5	λ3b2	λ3b2	X
ejpam-3199	91	6	b2	b2	NOUN
ejpam-3199	91	7	0	0	NUM
ejpam-3199	91	8	0	0	NUM
ejpam-3199	92	1	λ1b3	λ1b3	NOUN
ejpam-3199	92	2	λ2b3	λ2b3	SYM
ejpam-3199	92	3	1	1	NUM
ejpam-3199	92	4	+	+	NOUN
ejpam-3199	92	5	λ3b3	λ3b3	PART
ejpam-3199	92	6	b3	b3	PROPN
ejpam-3199	92	7	0	0	NUM
ejpam-3199	92	8	0	0	NUM
ejpam-3199	93	1	λ1d1	λ1d1	DET
ejpam-3199	93	2	λ2d1	λ2d1	X
ejpam-3199	93	3	λ3d1	λ3d1	PROPN
ejpam-3199	93	4	1	1	NUM
ejpam-3199	93	5	+	+	CCONJ
ejpam-3199	93	6	d1	d1	PROPN
ejpam-3199	93	7	0	0	NUM
ejpam-3199	93	8	0	0	NUM
ejpam-3199	93	9	λ1d2	λ1d2	X
ejpam-3199	93	10	λ2d2	λ2d2	X
ejpam-3199	93	11	λ3d2	λ3d2	PART
ejpam-3199	93	12	d2	d2	PROPN
ejpam-3199	93	13	1	1	NUM
ejpam-3199	93	14	0	0	NUM
ejpam-3199	93	15	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	93	16	)	)	PUNCT
ejpam-3199	93	17	1+t	1+t	NUM
ejpam-3199	93	18	λ1	λ1	ADJ
ejpam-3199	93	19	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	93	20	)	)	PUNCT
ejpam-3199	93	21	1+t	1+t	NUM
ejpam-3199	93	22	λ2	λ2	NOUN
ejpam-3199	93	23	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	93	24	)	)	PUNCT
ejpam-3199	93	25	1+t	1+t	NUM
ejpam-3199	93	26	λ3	λ3	PROPN
ejpam-3199	93	27	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	93	28	)	)	PUNCT
ejpam-3199	93	29	1+t	1+t	NUM
ejpam-3199	93	30	0	0	NUM
ejpam-3199	93	31	1	1	NUM
ejpam-3199	93	32			PROPN
ejpam-3199	93	33	.	.	PUNCT
ejpam-3199	94	1	the	the	DET
ejpam-3199	94	2	graph	graph	NOUN
ejpam-3199	94	3	e4,1	e4,1	PROPN
ejpam-3199	94	4	has	have	VERB
ejpam-3199	94	5	4	4	NUM
ejpam-3199	94	6	vertices	vertex	NOUN
ejpam-3199	94	7	σ1	σ1	PROPN
ejpam-3199	94	8	,	,	PUNCT
ejpam-3199	94	9	σ2	σ2	PROPN
ejpam-3199	94	10	,	,	PUNCT
ejpam-3199	94	11	σ3	σ3	PROPN
ejpam-3199	94	12	and	and	CCONJ
ejpam-3199	94	13	δ	δ	PROPN
ejpam-3199	94	14	.	.	PUNCT
ejpam-3199	95	1	since	since	SCONJ
ejpam-3199	95	2	p	p	NOUN
ejpam-3199	95	3	=	=	NOUN
ejpam-3199	95	4	1	1	NUM
ejpam-3199	95	5	,	,	PUNCT
ejpam-3199	95	6	it	it	PRON
ejpam-3199	95	7	follows	follow	VERB
ejpam-3199	95	8	that	that	SCONJ
ejpam-3199	95	9	the	the	DET
ejpam-3199	95	10	vertex	vertex	NOUN
ejpam-3199	95	11	δ	δ	PROPN
ejpam-3199	95	12	has	have	VERB
ejpam-3199	95	13	a	a	DET
ejpam-3199	95	14	common	common	ADJ
ejpam-3199	95	15	edge	edge	NOUN
ejpam-3199	95	16	with	with	ADP
ejpam-3199	95	17	σp	σp	PROPN
ejpam-3199	95	18	=	=	SYM
ejpam-3199	95	19	σ1	σ1	PROPN
ejpam-3199	95	20	.	.	PUNCT
ejpam-3199	96	1	therefore	therefore	ADV
ejpam-3199	96	2	,	,	PUNCT
ejpam-3199	96	3	the	the	DET
ejpam-3199	96	4	following	follow	VERB
ejpam-3199	96	5	relations	relation	NOUN
ejpam-3199	96	6	are	be	AUX
ejpam-3199	96	7	satisfied	satisfied	ADJ
ejpam-3199	96	8	.	.	PUNCT
ejpam-3199	97	1	σ1σ2σ1	σ1σ2σ1	PROPN
ejpam-3199	97	2	=	=	PUNCT
ejpam-3199	97	3	σ2σ1σ2	σ2σ1σ2	PROPN
ejpam-3199	97	4	(	(	PUNCT
ejpam-3199	97	5	4.1	4.1	NUM
ejpam-3199	97	6	)	)	PUNCT
ejpam-3199	97	7	σ2σ3σ2	σ2σ3σ2	NOUN
ejpam-3199	97	8	=	=	SYM
ejpam-3199	97	9	σ3σ2σ3	σ3σ2σ3	PROPN
ejpam-3199	97	10	(	(	PUNCT
ejpam-3199	97	11	4.2	4.2	NUM
ejpam-3199	97	12	)	)	PUNCT
ejpam-3199	97	13	σ1σ3	σ1σ3	NOUN
ejpam-3199	97	14	=	=	SYM
ejpam-3199	97	15	σ3σ1	σ3σ1	X
ejpam-3199	97	16	(	(	PUNCT
ejpam-3199	97	17	4.3	4.3	NUM
ejpam-3199	97	18	)	)	PUNCT
ejpam-3199	98	1	σ2δ	σ2δ	PROPN
ejpam-3199	98	2	=	=	PUNCT
ejpam-3199	98	3	δσ2	δσ2	PROPN
ejpam-3199	98	4	(	(	PUNCT
ejpam-3199	98	5	4.4	4.4	NUM
ejpam-3199	98	6	)	)	PUNCT
ejpam-3199	98	7	m.	m.	NOUN
ejpam-3199	98	8	dally	dally	ADV
ejpam-3199	98	9	,	,	PUNCT
ejpam-3199	98	10	m.	m.	NOUN
ejpam-3199	98	11	abdulrahim	abdulrahim	PROPN
ejpam-3199	98	12	/	/	SYM
ejpam-3199	98	13	eur	eur	PROPN
ejpam-3199	98	14	.	.	PUNCT
ejpam-3199	99	1	j.	j.	PROPN
ejpam-3199	99	2	pure	pure	PROPN
ejpam-3199	99	3	appl	appl	PROPN
ejpam-3199	99	4	.	.	PROPN
ejpam-3199	99	5	math	math	PROPN
ejpam-3199	99	6	,	,	PUNCT
ejpam-3199	99	7	11	11	NUM
ejpam-3199	99	8	(	(	PUNCT
ejpam-3199	99	9	1	1	NUM
ejpam-3199	99	10	)	)	PUNCT
ejpam-3199	99	11	(	(	PUNCT
ejpam-3199	99	12	2018	2018	NUM
ejpam-3199	99	13	)	)	PUNCT
ejpam-3199	99	14	,	,	PUNCT
ejpam-3199	99	15	215	215	NUM
ejpam-3199	99	16	-	-	SYM
ejpam-3199	99	17	237	237	NUM
ejpam-3199	99	18	220	220	NUM
ejpam-3199	99	19	σ3δ	σ3δ	NOUN
ejpam-3199	99	20	=	=	SYM
ejpam-3199	99	21	δσ3	δσ3	X
ejpam-3199	99	22	(	(	PUNCT
ejpam-3199	99	23	4.5	4.5	NUM
ejpam-3199	99	24	)	)	PUNCT
ejpam-3199	99	25	σ1δσ1	σ1δσ1	NOUN
ejpam-3199	99	26	=	=	PUNCT
ejpam-3199	99	27	δσ1δ	δσ1δ	PROPN
ejpam-3199	99	28	(	(	PUNCT
ejpam-3199	99	29	4.6	4.6	NUM
ejpam-3199	99	30	)	)	PUNCT
ejpam-3199	100	1	we	we	PRON
ejpam-3199	100	2	note	note	VERB
ejpam-3199	100	3	that	that	SCONJ
ejpam-3199	100	4	relations	relation	NOUN
ejpam-3199	100	5	(	(	PUNCT
ejpam-3199	100	6	4.1),(4.2	4.1),(4.2	NUM
ejpam-3199	100	7	)	)	PUNCT
ejpam-3199	100	8	,	,	PUNCT
ejpam-3199	100	9	and	and	CCONJ
ejpam-3199	100	10	(	(	PUNCT
ejpam-3199	100	11	4.3	4.3	NUM
ejpam-3199	100	12	)	)	PUNCT
ejpam-3199	100	13	are	be	AUX
ejpam-3199	100	14	actually	actually	ADV
ejpam-3199	100	15	artin	artin	PROPN
ejpam-3199	100	16	’s	’s	PART
ejpam-3199	100	17	braid	braid	PROPN
ejpam-3199	100	18	relation	relation	NOUN
ejpam-3199	100	19	of	of	ADP
ejpam-3199	100	20	the	the	DET
ejpam-3199	100	21	classical	classical	ADJ
ejpam-3199	100	22	braid	braid	NOUN
ejpam-3199	100	23	group	group	NOUN
ejpam-3199	100	24	,	,	PUNCT
ejpam-3199	100	25	b4	b4	NOUN
ejpam-3199	100	26	having	have	VERB
ejpam-3199	100	27	σ1	σ1	PROPN
ejpam-3199	100	28	,	,	PUNCT
ejpam-3199	100	29	σ2	σ2	NOUN
ejpam-3199	100	30	,	,	PUNCT
ejpam-3199	100	31	and	and	CCONJ
ejpam-3199	100	32	σ3	σ3	PROPN
ejpam-3199	100	33	as	as	ADP
ejpam-3199	100	34	standard	standard	ADJ
ejpam-3199	100	35	generators	generator	NOUN
ejpam-3199	100	36	.	.	PUNCT
ejpam-3199	101	1	this	this	PRON
ejpam-3199	101	2	assures	assure	VERB
ejpam-3199	101	3	that	that	SCONJ
ejpam-3199	101	4	a	a	DET
ejpam-3199	101	5	representation	representation	NOUN
ejpam-3199	101	6	of	of	ADP
ejpam-3199	101	7	a(e4,1	a(e4,1	NOUN
ejpam-3199	101	8	)	)	PUNCT
ejpam-3199	101	9	yields	yield	VERB
ejpam-3199	101	10	a	a	DET
ejpam-3199	101	11	representation	representation	NOUN
ejpam-3199	101	12	of	of	ADP
ejpam-3199	101	13	b4	b4	NOUN
ejpam-3199	101	14	.	.	PUNCT
ejpam-3199	102	1	for	for	ADP
ejpam-3199	102	2	more	more	ADJ
ejpam-3199	102	3	details	detail	NOUN
ejpam-3199	102	4	,	,	PUNCT
ejpam-3199	102	5	see	see	VERB
ejpam-3199	102	6	[	[	X
ejpam-3199	102	7	1	1	X
ejpam-3199	102	8	]	]	PUNCT
ejpam-3199	102	9	and	and	CCONJ
ejpam-3199	102	10	[	[	X
ejpam-3199	102	11	4	4	NUM
ejpam-3199	102	12	]	]	PUNCT
ejpam-3199	102	13	.	.	PUNCT
ejpam-3199	103	1	lemma	lemma	PROPN
ejpam-3199	103	2	1	1	NUM
ejpam-3199	103	3	.	.	PUNCT
ejpam-3199	104	1	the	the	DET
ejpam-3199	104	2	representation	representation	NOUN
ejpam-3199	104	3	ψλ	ψλ	ADP
ejpam-3199	104	4	:	:	PUNCT
ejpam-3199	104	5	a(e4,1)→	a(e4,1)→	NOUN
ejpam-3199	104	6	gl6(c	gl6(c	NOUN
ejpam-3199	104	7	)	)	PUNCT
ejpam-3199	104	8	is	be	AUX
ejpam-3199	104	9	reducible	reducible	ADJ
ejpam-3199	104	10	.	.	PUNCT
ejpam-3199	105	1	proof	proof	NOUN
ejpam-3199	105	2	.	.	PUNCT
ejpam-3199	106	1	for	for	ADP
ejpam-3199	106	2	simplicity	simplicity	NOUN
ejpam-3199	106	3	,	,	PUNCT
ejpam-3199	106	4	we	we	PRON
ejpam-3199	106	5	write	write	VERB
ejpam-3199	106	6	σi	σi	PRON
ejpam-3199	106	7	instead	instead	ADV
ejpam-3199	106	8	of	of	ADP
ejpam-3199	106	9	ψλ(σi	ψλ(σi	PROPN
ejpam-3199	106	10	)	)	PUNCT
ejpam-3199	107	1	.the	.the	PRON
ejpam-3199	107	2	subspace	subspace	NOUN
ejpam-3199	107	3	s	s	PART
ejpam-3199	107	4	=	=	VERB
ejpam-3199	107	5	〈	〈	PROPN
ejpam-3199	107	6	e1	e1	NOUN
ejpam-3199	107	7	+	+	CCONJ
ejpam-3199	107	8	b2	b2	NOUN
ejpam-3199	107	9	b1	b1	NOUN
ejpam-3199	107	10	e2	e2	PROPN
ejpam-3199	107	11	+	+	CCONJ
ejpam-3199	107	12	b3	b3	PROPN
ejpam-3199	107	13	b1	b1	NOUN
ejpam-3199	107	14	e3	e3	NOUN
ejpam-3199	107	15	,	,	PUNCT
ejpam-3199	107	16	e4	e4	PROPN
ejpam-3199	107	17	,	,	PUNCT
ejpam-3199	107	18	e5	e5	PROPN
ejpam-3199	107	19	,	,	PUNCT
ejpam-3199	107	20	e6	e6	PROPN
ejpam-3199	107	21	〉	〉	NOUN
ejpam-3199	107	22	is	be	AUX
ejpam-3199	107	23	an	an	DET
ejpam-3199	107	24	invariant	invariant	ADJ
ejpam-3199	107	25	subspace	subspace	NOUN
ejpam-3199	107	26	of	of	ADP
ejpam-3199	107	27	dimension	dimension	NOUN
ejpam-3199	107	28	4	4	NUM
ejpam-3199	107	29	.	.	PUNCT
ejpam-3199	107	30	to	to	PART
ejpam-3199	107	31	see	see	VERB
ejpam-3199	107	32	this	this	PRON
ejpam-3199	107	33	:	:	PUNCT
ejpam-3199	107	34	(	(	PUNCT
ejpam-3199	107	35	i	i	NOUN
ejpam-3199	107	36	)	)	PUNCT
ejpam-3199	108	1	σ1(e1	σ1(e1	PROPN
ejpam-3199	108	2	+	+	SYM
ejpam-3199	108	3	b2	b2	NOUN
ejpam-3199	108	4	b1	b1	NOUN
ejpam-3199	108	5	e2	e2	PROPN
ejpam-3199	108	6	+	+	CCONJ
ejpam-3199	108	7	b3	b3	PROPN
ejpam-3199	108	8	b1	b1	NOUN
ejpam-3199	108	9	e3	e3	NOUN
ejpam-3199	108	10	)	)	PUNCT
ejpam-3199	108	11	=	=	SYM
ejpam-3199	108	12	e1	e1	PROPN
ejpam-3199	108	13	+	+	CCONJ
ejpam-3199	108	14	b2	b2	NOUN
ejpam-3199	108	15	b1	b1	NOUN
ejpam-3199	108	16	e2	e2	PROPN
ejpam-3199	108	17	+	+	CCONJ
ejpam-3199	108	18	b3	b3	PROPN
ejpam-3199	108	19	b1	b1	NOUN
ejpam-3199	108	20	e3	e3	NOUN
ejpam-3199	108	21	+	+	CCONJ
ejpam-3199	108	22	te4	te4	NOUN
ejpam-3199	108	23	∈	∈	PROPN
ejpam-3199	108	24	s	s	X
ejpam-3199	108	25	(	(	PUNCT
ejpam-3199	108	26	ii	ii	NOUN
ejpam-3199	108	27	)	)	PUNCT
ejpam-3199	108	28	σ2(e1	σ2(e1	NOUN
ejpam-3199	108	29	+	+	NUM
ejpam-3199	108	30	b2	b2	NOUN
ejpam-3199	108	31	b1	b1	NOUN
ejpam-3199	108	32	e2	e2	PROPN
ejpam-3199	108	33	+	+	CCONJ
ejpam-3199	108	34	b3	b3	PROPN
ejpam-3199	108	35	b1	b1	NOUN
ejpam-3199	108	36	e3	e3	NOUN
ejpam-3199	108	37	)	)	PUNCT
ejpam-3199	108	38	=	=	SYM
ejpam-3199	108	39	e1	e1	PROPN
ejpam-3199	108	40	+	+	CCONJ
ejpam-3199	108	41	b2	b2	NOUN
ejpam-3199	108	42	b1	b1	NOUN
ejpam-3199	108	43	e2	e2	PROPN
ejpam-3199	108	44	+	+	CCONJ
ejpam-3199	108	45	b3	b3	PROPN
ejpam-3199	108	46	b1	b1	NOUN
ejpam-3199	108	47	e3	e3	NOUN
ejpam-3199	108	48	+	+	X
ejpam-3199	108	49	t	t	X
ejpam-3199	108	50	b2b1	b2b1	X
ejpam-3199	108	51	e5	e5	PROPN
ejpam-3199	108	52	∈	∈	PROPN
ejpam-3199	108	53	s	s	PART
ejpam-3199	108	54	(	(	PUNCT
ejpam-3199	108	55	iii	iii	NOUN
ejpam-3199	108	56	)	)	PUNCT
ejpam-3199	108	57	σ3(e1	σ3(e1	NOUN
ejpam-3199	108	58	+	+	NUM
ejpam-3199	108	59	b2	b2	NOUN
ejpam-3199	108	60	b1	b1	NOUN
ejpam-3199	108	61	e2	e2	PROPN
ejpam-3199	108	62	+	+	CCONJ
ejpam-3199	108	63	b3	b3	PROPN
ejpam-3199	108	64	b1	b1	NOUN
ejpam-3199	108	65	e3	e3	NOUN
ejpam-3199	108	66	)	)	PUNCT
ejpam-3199	108	67	=	=	SYM
ejpam-3199	108	68	e1	e1	PROPN
ejpam-3199	108	69	+	+	CCONJ
ejpam-3199	108	70	b2	b2	NOUN
ejpam-3199	108	71	b1	b1	NOUN
ejpam-3199	108	72	e2	e2	PROPN
ejpam-3199	108	73	+	+	CCONJ
ejpam-3199	108	74	b3	b3	PROPN
ejpam-3199	108	75	b1	b1	NOUN
ejpam-3199	108	76	e3	e3	NOUN
ejpam-3199	108	77	+	+	X
ejpam-3199	108	78	t	t	NOUN
ejpam-3199	108	79	b3b1	b3b1	PUNCT
ejpam-3199	108	80	e6	e6	PROPN
ejpam-3199	108	81	∈	∈	PROPN
ejpam-3199	108	82	s	s	PART
ejpam-3199	108	83	(	(	PUNCT
ejpam-3199	108	84	iv	iv	NOUN
ejpam-3199	108	85	)	)	PUNCT
ejpam-3199	108	86	δ(e1	δ(e1	NOUN
ejpam-3199	108	87	+	+	CCONJ
ejpam-3199	108	88	b2	b2	NOUN
ejpam-3199	108	89	b1	b1	NOUN
ejpam-3199	108	90	e2	e2	PROPN
ejpam-3199	108	91	+	+	CCONJ
ejpam-3199	108	92	b3	b3	PROPN
ejpam-3199	108	93	b1	b1	NOUN
ejpam-3199	108	94	e3	e3	NOUN
ejpam-3199	108	95	)	)	PUNCT
ejpam-3199	108	96	=	=	PUNCT
ejpam-3199	108	97	(	(	PUNCT
ejpam-3199	108	98	1	1	NUM
ejpam-3199	108	99	+	+	CCONJ
ejpam-3199	108	100	λ1b1	λ1b1	X
ejpam-3199	108	101	+	+	NUM
ejpam-3199	108	102	λ2b2	λ2b2	ADJ
ejpam-3199	108	103	+	+	CCONJ
ejpam-3199	108	104	λ3b3)(e1	λ3b3)(e1	NOUN
ejpam-3199	108	105	+	+	CCONJ
ejpam-3199	108	106	b2	b2	NOUN
ejpam-3199	108	107	b1	b1	NOUN
ejpam-3199	108	108	e2	e2	PROPN
ejpam-3199	108	109	+	+	CCONJ
ejpam-3199	108	110	b3	b3	PROPN
ejpam-3199	108	111	b1	b1	NOUN
ejpam-3199	108	112	e3	e3	NOUN
ejpam-3199	108	113	)	)	PUNCT
ejpam-3199	108	114	+	+	CCONJ
ejpam-3199	108	115	d1	d1	PROPN
ejpam-3199	108	116	b1	b1	NOUN
ejpam-3199	108	117	(	(	PUNCT
ejpam-3199	108	118	λ1b1	λ1b1	X
ejpam-3199	109	1	+	+	NUM
ejpam-3199	109	2	λ2b2	λ2b2	X
ejpam-3199	109	3	+	+	CCONJ
ejpam-3199	109	4	λ3b3)e4	λ3b3)e4	NUM
ejpam-3199	109	5	+	+	CCONJ
ejpam-3199	109	6	d2	d2	NOUN
ejpam-3199	109	7	b1	b1	NOUN
ejpam-3199	109	8	(	(	PUNCT
ejpam-3199	109	9	λ1b1	λ1b1	X
ejpam-3199	109	10	+	+	NUM
ejpam-3199	109	11	λ2b2	λ2b2	X
ejpam-3199	109	12	+	+	X
ejpam-3199	109	13	λ3b3)e5	λ3b3)e5	NOUN
ejpam-3199	109	14	+	+	NUM
ejpam-3199	109	15	−(1+t+t2	−(1+t+t2	NOUN
ejpam-3199	109	16	)	)	PUNCT
ejpam-3199	109	17	b1(1+t	b1(1+t	NOUN
ejpam-3199	109	18	)	)	PUNCT
ejpam-3199	109	19	(	(	PUNCT
ejpam-3199	109	20	λ1b1	λ1b1	X
ejpam-3199	109	21	+	+	PUNCT
ejpam-3199	109	22	λ2b2	λ2b2	X
ejpam-3199	109	23	+	+	NUM
ejpam-3199	109	24	λ3b3)e6	λ3b3)e6	NUM
ejpam-3199	109	25	∈	∈	NOUN
ejpam-3199	109	26	s	s	X
ejpam-3199	109	27	(	(	PUNCT
ejpam-3199	109	28	v	v	NOUN
ejpam-3199	109	29	)	)	PUNCT
ejpam-3199	109	30	σ1e4	σ1e4	NOUN
ejpam-3199	109	31	=	=	PUNCT
ejpam-3199	109	32	−te4	−te4	PROPN
ejpam-3199	109	33	∈	∈	PROPN
ejpam-3199	109	34	s	s	X
ejpam-3199	109	35	(	(	PUNCT
ejpam-3199	109	36	vi	vi	NOUN
ejpam-3199	109	37	)	)	PUNCT
ejpam-3199	109	38	σ2e4	σ2e4	NOUN
ejpam-3199	109	39	=	=	SYM
ejpam-3199	109	40	e4	e4	PROPN
ejpam-3199	109	41	+	+	CCONJ
ejpam-3199	109	42	te5	te5	PROPN
ejpam-3199	109	43	∈	∈	PROPN
ejpam-3199	109	44	s	s	PART
ejpam-3199	109	45	(	(	PUNCT
ejpam-3199	109	46	vii	vii	PROPN
ejpam-3199	109	47	)	)	PUNCT
ejpam-3199	109	48	σ3e4	σ3e4	NOUN
ejpam-3199	109	49	=	=	PUNCT
ejpam-3199	109	50	e4	e4	PROPN
ejpam-3199	109	51	∈	∈	PROPN
ejpam-3199	109	52	s	s	PART
ejpam-3199	109	53	(	(	PUNCT
ejpam-3199	109	54	viii	viii	NOUN
ejpam-3199	109	55	)	)	PUNCT
ejpam-3199	109	56	δe4	δe4	NOUN
ejpam-3199	109	57	=	=	SYM
ejpam-3199	109	58	b1(e1	b1(e1	NOUN
ejpam-3199	109	59	+	+	NOUN
ejpam-3199	109	60	b2	b2	NOUN
ejpam-3199	109	61	b1	b1	NOUN
ejpam-3199	109	62	e2	e2	PROPN
ejpam-3199	109	63	+	+	CCONJ
ejpam-3199	109	64	b3	b3	PROPN
ejpam-3199	109	65	b1	b1	NOUN
ejpam-3199	109	66	e3	e3	NOUN
ejpam-3199	109	67	)	)	PUNCT
ejpam-3199	110	1	+	+	CCONJ
ejpam-3199	110	2	(	(	PUNCT
ejpam-3199	110	3	1	1	NUM
ejpam-3199	110	4	+	+	NUM
ejpam-3199	110	5	d1)e4	d1)e4	VERB
ejpam-3199	110	6	+	+	CCONJ
ejpam-3199	110	7	d2e5	d2e5	X
ejpam-3199	110	8	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	110	9	)	)	PUNCT
ejpam-3199	110	10	1+t	1+t	NUM
ejpam-3199	110	11	e6	e6	NOUN
ejpam-3199	110	12	∈	∈	PROPN
ejpam-3199	110	13	s	s	PART
ejpam-3199	110	14	(	(	PUNCT
ejpam-3199	110	15	ix	ix	ADJ
ejpam-3199	110	16	)	)	PUNCT
ejpam-3199	110	17	σ1e5	σ1e5	PROPN
ejpam-3199	110	18	=	=	PROPN
ejpam-3199	110	19	e4	e4	PROPN
ejpam-3199	110	20	+	+	CCONJ
ejpam-3199	110	21	e5	e5	PROPN
ejpam-3199	110	22	∈	∈	PROPN
ejpam-3199	110	23	s	s	X
ejpam-3199	110	24	(	(	PUNCT
ejpam-3199	110	25	x	x	X
ejpam-3199	110	26	)	)	PUNCT
ejpam-3199	110	27	σ2e5	σ2e5	X
ejpam-3199	111	1	=	=	PUNCT
ejpam-3199	111	2	−te5	−te5	PROPN
ejpam-3199	111	3	∈	∈	NOUN
ejpam-3199	111	4	s	s	X
ejpam-3199	111	5	(	(	PUNCT
ejpam-3199	111	6	xi	xi	PROPN
ejpam-3199	111	7	)	)	PUNCT
ejpam-3199	111	8	σ3e5	σ3e5	PROPN
ejpam-3199	111	9	=	=	PROPN
ejpam-3199	111	10	e5	e5	PROPN
ejpam-3199	111	11	+	+	CCONJ
ejpam-3199	111	12	te6	te6	PUNCT
ejpam-3199	111	13	∈	∈	NOUN
ejpam-3199	111	14	s	s	X
ejpam-3199	111	15	(	(	PUNCT
ejpam-3199	111	16	xii	xii	NOUN
ejpam-3199	111	17	)	)	PUNCT
ejpam-3199	111	18	δe5	δe5	NOUN
ejpam-3199	111	19	=	=	SYM
ejpam-3199	111	20	e5	e5	PROPN
ejpam-3199	111	21	∈	∈	PROPN
ejpam-3199	111	22	s	s	X
ejpam-3199	111	23	(	(	PUNCT
ejpam-3199	111	24	xiii	xiii	PROPN
ejpam-3199	111	25	)	)	PUNCT
ejpam-3199	111	26	σ1e6	σ1e6	NOUN
ejpam-3199	111	27	=	=	VERB
ejpam-3199	111	28	e6	e6	PROPN
ejpam-3199	111	29	∈	∈	PROPN
ejpam-3199	111	30	s	s	PART
ejpam-3199	111	31	(	(	PUNCT
ejpam-3199	111	32	xiv	xiv	PROPN
ejpam-3199	111	33	)	)	PUNCT
ejpam-3199	112	1	σ2e6	σ2e6	PROPN
ejpam-3199	112	2	=	=	PUNCT
ejpam-3199	112	3	e5	e5	PROPN
ejpam-3199	112	4	+	+	CCONJ
ejpam-3199	112	5	e6	e6	PROPN
ejpam-3199	112	6	∈	∈	PROPN
ejpam-3199	112	7	s	s	PART
ejpam-3199	112	8	(	(	PUNCT
ejpam-3199	112	9	xv	xv	PROPN
ejpam-3199	112	10	)	)	PUNCT
ejpam-3199	112	11	σ3e6	σ3e6	PROPN
ejpam-3199	112	12	=	=	SYM
ejpam-3199	112	13	−te6	−te6	SYM
ejpam-3199	112	14	∈	∈	PROPN
ejpam-3199	112	15	s	s	PART
ejpam-3199	112	16	m.	m.	NOUN
ejpam-3199	112	17	dally	dally	ADV
ejpam-3199	112	18	,	,	PUNCT
ejpam-3199	112	19	m.	m.	NOUN
ejpam-3199	112	20	abdulrahim	abdulrahim	PROPN
ejpam-3199	112	21	/	/	SYM
ejpam-3199	112	22	eur	eur	PROPN
ejpam-3199	112	23	.	.	PUNCT
ejpam-3199	113	1	j.	j.	PROPN
ejpam-3199	113	2	pure	pure	PROPN
ejpam-3199	113	3	appl	appl	PROPN
ejpam-3199	113	4	.	.	PROPN
ejpam-3199	113	5	math	math	PROPN
ejpam-3199	113	6	,	,	PUNCT
ejpam-3199	113	7	11	11	NUM
ejpam-3199	113	8	(	(	PUNCT
ejpam-3199	113	9	1	1	NUM
ejpam-3199	113	10	)	)	PUNCT
ejpam-3199	113	11	(	(	PUNCT
ejpam-3199	113	12	2018	2018	NUM
ejpam-3199	113	13	)	)	PUNCT
ejpam-3199	113	14	,	,	PUNCT
ejpam-3199	113	15	215	215	NUM
ejpam-3199	113	16	-	-	SYM
ejpam-3199	113	17	237	237	NUM
ejpam-3199	113	18	221	221	NUM
ejpam-3199	113	19	(	(	PUNCT
ejpam-3199	113	20	xvi	xvi	NOUN
ejpam-3199	113	21	)	)	PUNCT
ejpam-3199	113	22	δe6	δe6	ADV
ejpam-3199	113	23	=	=	PUNCT
ejpam-3199	113	24	e6	e6	PROPN
ejpam-3199	113	25	∈	∈	PROPN
ejpam-3199	113	26	s	s	PART
ejpam-3199	113	27	5	5	NUM
ejpam-3199	113	28	.	.	PUNCT
ejpam-3199	114	1	on	on	ADP
ejpam-3199	114	2	the	the	DET
ejpam-3199	114	3	irreducibility	irreducibility	NOUN
ejpam-3199	114	4	of	of	ADP
ejpam-3199	114	5	ψ′	ψ′	PUNCT
ejpam-3199	114	6	λ	λ	NOUN
ejpam-3199	114	7	:	:	PUNCT
ejpam-3199	114	8	a(e4,1	a(e4,1	VERB
ejpam-3199	114	9	)	)	PUNCT
ejpam-3199	114	10	→	→	SYM
ejpam-3199	114	11	gl4(c	gl4(c	NOUN
ejpam-3199	114	12	)	)	PUNCT
ejpam-3199	114	13	we	we	PRON
ejpam-3199	114	14	consider	consider	VERB
ejpam-3199	114	15	the	the	DET
ejpam-3199	114	16	representation	representation	NOUN
ejpam-3199	114	17	ψλ	ψλ	ADP
ejpam-3199	114	18	:	:	PUNCT
ejpam-3199	114	19	a(e4,1)→	a(e4,1)→	NOUN
ejpam-3199	114	20	gl6(c	gl6(c	NOUN
ejpam-3199	114	21	)	)	PUNCT
ejpam-3199	114	22	restricted	restrict	VERB
ejpam-3199	114	23	to	to	ADP
ejpam-3199	114	24	the	the	DET
ejpam-3199	114	25	basis	basis	NOUN
ejpam-3199	114	26	e1	e1	NOUN
ejpam-3199	114	27	,	,	PUNCT
ejpam-3199	114	28	e2	e2	NOUN
ejpam-3199	114	29	,	,	PUNCT
ejpam-3199	114	30	e1	e1	PROPN
ejpam-3199	114	31	+	+	CCONJ
ejpam-3199	114	32	b2	b2	NOUN
ejpam-3199	114	33	b1	b1	NOUN
ejpam-3199	114	34	e2	e2	PROPN
ejpam-3199	114	35	+	+	CCONJ
ejpam-3199	114	36	b3	b3	PROPN
ejpam-3199	114	37	b1	b1	NOUN
ejpam-3199	114	38	e3	e3	NOUN
ejpam-3199	114	39	,	,	PUNCT
ejpam-3199	114	40	e4	e4	PROPN
ejpam-3199	114	41	,	,	PUNCT
ejpam-3199	114	42	e5	e5	PROPN
ejpam-3199	114	43	,	,	PUNCT
ejpam-3199	114	44	and	and	CCONJ
ejpam-3199	114	45	e6	e6	PROPN
ejpam-3199	114	46	.	.	PUNCT
ejpam-3199	115	1	the	the	DET
ejpam-3199	115	2	matrix	matrix	NOUN
ejpam-3199	115	3	of	of	ADP
ejpam-3199	115	4	σ1	σ1	PROPN
ejpam-3199	115	5	becomes	become	VERB
ejpam-3199	115	6	ψλ(σ1	ψλ(σ1	NUM
ejpam-3199	115	7	)	)	PUNCT
ejpam-3199	115	8	=	=	PRON
ejpam-3199	115	9			VERB
ejpam-3199	115	10	1	1	NUM
ejpam-3199	115	11	0	0	NUM
ejpam-3199	115	12	0	0	NUM
ejpam-3199	115	13	t	t	NOUN
ejpam-3199	115	14	0	0	NUM
ejpam-3199	115	15	0	0	SYM
ejpam-3199	115	16	0	0	NUM
ejpam-3199	115	17	1	1	NUM
ejpam-3199	115	18	0	0	NUM
ejpam-3199	115	19	0	0	NUM
ejpam-3199	115	20	0	0	NUM
ejpam-3199	115	21	0	0	NUM
ejpam-3199	115	22	0	0	NUM
ejpam-3199	115	23	0	0	NUM
ejpam-3199	115	24	1	1	NUM
ejpam-3199	115	25	t	t	NOUN
ejpam-3199	115	26	0	0	NUM
ejpam-3199	115	27	0	0	NUM
ejpam-3199	115	28	0	0	NUM
ejpam-3199	115	29	0	0	NUM
ejpam-3199	115	30	0	0	NUM
ejpam-3199	115	31	−t	−t	NOUN
ejpam-3199	115	32	0	0	NUM
ejpam-3199	115	33	0	0	NUM
ejpam-3199	115	34	0	0	NUM
ejpam-3199	115	35	0	0	NUM
ejpam-3199	115	36	0	0	NUM
ejpam-3199	115	37	1	1	NUM
ejpam-3199	115	38	1	1	NUM
ejpam-3199	115	39	0	0	NUM
ejpam-3199	115	40	0	0	NUM
ejpam-3199	115	41	0	0	NUM
ejpam-3199	115	42	0	0	NUM
ejpam-3199	115	43	0	0	NUM
ejpam-3199	115	44	0	0	NUM
ejpam-3199	115	45	1	1	NUM
ejpam-3199	115	46			NOUN
ejpam-3199	115	47	.	.	PUNCT
ejpam-3199	116	1	we	we	PRON
ejpam-3199	116	2	reduce	reduce	VERB
ejpam-3199	116	3	our	our	PRON
ejpam-3199	116	4	representation	representation	NOUN
ejpam-3199	116	5	to	to	ADP
ejpam-3199	116	6	a	a	DET
ejpam-3199	116	7	4	4	NUM
ejpam-3199	116	8	-	-	PUNCT
ejpam-3199	116	9	dimensional	dimensional	ADJ
ejpam-3199	116	10	one	one	NUM
ejpam-3199	116	11	by	by	ADP
ejpam-3199	116	12	considering	consider	VERB
ejpam-3199	116	13	the	the	DET
ejpam-3199	116	14	sub	sub	ADJ
ejpam-3199	116	15	-	-	ADJ
ejpam-3199	116	16	basis	basis	NOUN
ejpam-3199	116	17	e1	e1	NOUN
ejpam-3199	116	18	+	+	CCONJ
ejpam-3199	116	19	b2	b2	NOUN
ejpam-3199	116	20	b1	b1	NOUN
ejpam-3199	116	21	e2	e2	PROPN
ejpam-3199	116	22	+	+	CCONJ
ejpam-3199	116	23	b3	b3	PROPN
ejpam-3199	116	24	b1	b1	NOUN
ejpam-3199	116	25	e3	e3	NOUN
ejpam-3199	116	26	,	,	PUNCT
ejpam-3199	116	27	e4	e4	PROPN
ejpam-3199	116	28	,	,	PUNCT
ejpam-3199	116	29	e5	e5	PROPN
ejpam-3199	116	30	,	,	PUNCT
ejpam-3199	116	31	and	and	CCONJ
ejpam-3199	116	32	e6	e6	NOUN
ejpam-3199	116	33	to	to	PART
ejpam-3199	116	34	get	get	VERB
ejpam-3199	116	35	ψ′λ	ψ′λ	PROPN
ejpam-3199	116	36	:	:	PUNCT
ejpam-3199	116	37	a(e4,1	a(e4,1	VERB
ejpam-3199	116	38	)	)	PUNCT
ejpam-3199	116	39	→	→	SYM
ejpam-3199	116	40	gl4(c	gl4(c	NOUN
ejpam-3199	116	41	)	)	PUNCT
ejpam-3199	116	42	.	.	PUNCT
ejpam-3199	117	1	the	the	DET
ejpam-3199	117	2	representation	representation	NOUN
ejpam-3199	117	3	is	be	AUX
ejpam-3199	117	4	defined	define	VERB
ejpam-3199	117	5	as	as	ADP
ejpam-3199	117	6	follows	follow	VERB
ejpam-3199	117	7	:	:	PUNCT
ejpam-3199	117	8	ψ′λ(σ1	ψ′λ(σ1	NOUN
ejpam-3199	117	9	)	)	PUNCT
ejpam-3199	117	10	=	=	SYM
ejpam-3199	118	1			ADJ
ejpam-3199	118	2	1	1	NUM
ejpam-3199	118	3	t	t	NOUN
ejpam-3199	118	4	0	0	NUM
ejpam-3199	118	5	0	0	SYM
ejpam-3199	118	6	0	0	NUM
ejpam-3199	118	7	−t	−t	NOUN
ejpam-3199	118	8	0	0	NUM
ejpam-3199	118	9	0	0	NUM
ejpam-3199	118	10	0	0	NUM
ejpam-3199	118	11	1	1	NUM
ejpam-3199	118	12	1	1	NUM
ejpam-3199	118	13	0	0	NUM
ejpam-3199	118	14	0	0	NUM
ejpam-3199	118	15	0	0	NUM
ejpam-3199	118	16	0	0	NUM
ejpam-3199	118	17	1	1	NUM
ejpam-3199	118	18			NOUN
ejpam-3199	118	19	,	,	PUNCT
ejpam-3199	118	20	ψ′λ(σ2	ψ′λ(σ2	PROPN
ejpam-3199	118	21	)	)	PUNCT
ejpam-3199	118	22	=	=	SYM
ejpam-3199	118	23			ADJ
ejpam-3199	118	24	1	1	NUM
ejpam-3199	118	25	0	0	NUM
ejpam-3199	118	26	tb2	tb2	PROPN
ejpam-3199	118	27	b1	b1	NOUN
ejpam-3199	118	28	0	0	NUM
ejpam-3199	118	29	0	0	NUM
ejpam-3199	118	30	1	1	NUM
ejpam-3199	118	31	t	t	NOUN
ejpam-3199	118	32	0	0	NUM
ejpam-3199	118	33	0	0	SYM
ejpam-3199	118	34	0	0	NUM
ejpam-3199	118	35	−t	−t	NOUN
ejpam-3199	118	36	0	0	NUM
ejpam-3199	118	37	0	0	NUM
ejpam-3199	118	38	0	0	NUM
ejpam-3199	118	39	1	1	NUM
ejpam-3199	118	40	1	1	NUM
ejpam-3199	118	41			NOUN
ejpam-3199	118	42	,	,	PUNCT
ejpam-3199	118	43	ψ′λ(σ3	ψ′λ(σ3	NOUN
ejpam-3199	118	44	)	)	PUNCT
ejpam-3199	118	45	=	=	PUNCT
ejpam-3199	118	46			ADJ
ejpam-3199	118	47	1	1	NUM
ejpam-3199	118	48	0	0	SYM
ejpam-3199	118	49	0	0	NUM
ejpam-3199	118	50	tb3	tb3	NOUN
ejpam-3199	118	51	b1	b1	NOUN
ejpam-3199	118	52	0	0	NUM
ejpam-3199	118	53	1	1	NUM
ejpam-3199	118	54	0	0	NUM
ejpam-3199	118	55	0	0	NUM
ejpam-3199	118	56	0	0	NUM
ejpam-3199	118	57	0	0	NUM
ejpam-3199	118	58	1	1	NUM
ejpam-3199	118	59	t	t	NOUN
ejpam-3199	118	60	0	0	NUM
ejpam-3199	118	61	0	0	SYM
ejpam-3199	118	62	0	0	NUM
ejpam-3199	118	63	−t	−t	NOUN
ejpam-3199	118	64			NOUN
ejpam-3199	118	65	,	,	PUNCT
ejpam-3199	118	66	and	and	CCONJ
ejpam-3199	118	67	ψ′λ(δ	ψ′λ(δ	ADJ
ejpam-3199	118	68	)	)	PUNCT
ejpam-3199	119	1	=	=	SYM
ejpam-3199	119	2	m.	m.	NOUN
ejpam-3199	119	3	dally	dally	ADV
ejpam-3199	119	4	,	,	PUNCT
ejpam-3199	119	5	m.	m.	NOUN
ejpam-3199	119	6	abdulrahim	abdulrahim	PROPN
ejpam-3199	119	7	/	/	SYM
ejpam-3199	119	8	eur	eur	PROPN
ejpam-3199	119	9	.	.	PUNCT
ejpam-3199	120	1	j.	j.	PROPN
ejpam-3199	120	2	pure	pure	PROPN
ejpam-3199	120	3	appl	appl	PROPN
ejpam-3199	120	4	.	.	PROPN
ejpam-3199	120	5	math	math	PROPN
ejpam-3199	120	6	,	,	PUNCT
ejpam-3199	120	7	11	11	NUM
ejpam-3199	120	8	(	(	PUNCT
ejpam-3199	120	9	1	1	NUM
ejpam-3199	120	10	)	)	PUNCT
ejpam-3199	120	11	(	(	PUNCT
ejpam-3199	120	12	2018	2018	NUM
ejpam-3199	120	13	)	)	PUNCT
ejpam-3199	120	14	,	,	PUNCT
ejpam-3199	120	15	215	215	NUM
ejpam-3199	120	16	-	-	SYM
ejpam-3199	120	17	237	237	NUM
ejpam-3199	120	18	222	222	NUM
ejpam-3199	120	19			NOUN
ejpam-3199	120	20	1	1	NUM
ejpam-3199	120	21	+	+	CCONJ
ejpam-3199	120	22	∑3	∑3	PROPN
ejpam-3199	120	23	i=1	i=1	PROPN
ejpam-3199	120	24	λibi	λibi	NOUN
ejpam-3199	120	25	d1	d1	PROPN
ejpam-3199	120	26	b1	b1	NOUN
ejpam-3199	120	27	(	(	PUNCT
ejpam-3199	120	28	∑3	∑3	PROPN
ejpam-3199	120	29	i=1	i=1	PROPN
ejpam-3199	120	30	λibi	λibi	NOUN
ejpam-3199	120	31	)	)	PUNCT
ejpam-3199	120	32	d2	d2	PROPN
ejpam-3199	120	33	b1	b1	NOUN
ejpam-3199	120	34	(	(	PUNCT
ejpam-3199	120	35	∑3	∑3	PROPN
ejpam-3199	120	36	i=1	i=1	PROPN
ejpam-3199	120	37	λibi	λibi	NOUN
ejpam-3199	120	38	)	)	PUNCT
ejpam-3199	120	39	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	120	40	)	)	PUNCT
ejpam-3199	120	41	b1(1+t	b1(1+t	NOUN
ejpam-3199	120	42	)	)	PUNCT
ejpam-3199	120	43	(	(	PUNCT
ejpam-3199	120	44	∑3	∑3	PROPN
ejpam-3199	120	45	i=1	i=1	PROPN
ejpam-3199	120	46	λibi	λibi	NOUN
ejpam-3199	120	47	)	)	PUNCT
ejpam-3199	120	48	b1	b1	VERB
ejpam-3199	120	49	1	1	NUM
ejpam-3199	120	50	+	+	CCONJ
ejpam-3199	120	51	d1	d1	PROPN
ejpam-3199	120	52	d2	d2	NOUN
ejpam-3199	120	53	−t(1	−t(1	PROPN
ejpam-3199	120	54	+	+	CCONJ
ejpam-3199	120	55	t+	t+	PUNCT
ejpam-3199	120	56	t2	t2	NOUN
ejpam-3199	120	57	)	)	PUNCT
ejpam-3199	120	58	0	0	NUM
ejpam-3199	120	59	0	0	NUM
ejpam-3199	120	60	1	1	NUM
ejpam-3199	120	61	0	0	NUM
ejpam-3199	120	62	0	0	NUM
ejpam-3199	120	63	0	0	NUM
ejpam-3199	120	64	0	0	NUM
ejpam-3199	120	65	1	1	NUM
ejpam-3199	120	66			NOUN
ejpam-3199	120	67	.	.	PUNCT
ejpam-3199	121	1	we	we	PRON
ejpam-3199	121	2	then	then	ADV
ejpam-3199	121	3	diagonalize	diagonalize	VERB
ejpam-3199	121	4	the	the	DET
ejpam-3199	121	5	matrix	matrix	NOUN
ejpam-3199	121	6	corresponding	correspond	VERB
ejpam-3199	121	7	to	to	PART
ejpam-3199	121	8	ψ′λ(σ1	ψ′λ(σ1	VERB
ejpam-3199	121	9	)	)	PUNCT
ejpam-3199	121	10	by	by	ADP
ejpam-3199	121	11	an	an	DET
ejpam-3199	121	12	invertible	invertible	ADJ
ejpam-3199	121	13	matrix	matrix	NOUN
ejpam-3199	121	14	,	,	PUNCT
ejpam-3199	121	15	say	say	VERB
ejpam-3199	121	16	t	t	NOUN
ejpam-3199	121	17	,	,	PUNCT
ejpam-3199	121	18	and	and	CCONJ
ejpam-3199	121	19	conjugate	conjugate	VERB
ejpam-3199	121	20	the	the	DET
ejpam-3199	121	21	matrices	matrix	NOUN
ejpam-3199	121	22	of	of	ADP
ejpam-3199	121	23	ψ′λ(σ2	ψ′λ(σ2	PROPN
ejpam-3199	121	24	)	)	PUNCT
ejpam-3199	121	25	,	,	PUNCT
ejpam-3199	121	26	ψ	ψ	VERB
ejpam-3199	121	27	′	′	NUM
ejpam-3199	121	28	λ(σ3	λ(σ3	NOUN
ejpam-3199	121	29	)	)	PUNCT
ejpam-3199	121	30	,	,	PUNCT
ejpam-3199	121	31	and	and	CCONJ
ejpam-3199	121	32	ψ′λ(δ	ψ′λ(δ	ADJ
ejpam-3199	121	33	)	)	PUNCT
ejpam-3199	121	34	by	by	ADP
ejpam-3199	121	35	the	the	DET
ejpam-3199	121	36	same	same	ADJ
ejpam-3199	121	37	matrix	matrix	NOUN
ejpam-3199	121	38	t	t	NOUN
ejpam-3199	121	39	.	.	PUNCT
ejpam-3199	122	1	the	the	DET
ejpam-3199	122	2	invertible	invertible	ADJ
ejpam-3199	122	3	matrix	matrix	NOUN
ejpam-3199	122	4	t	t	NOUN
ejpam-3199	122	5	is	be	AUX
ejpam-3199	122	6	given	give	VERB
ejpam-3199	122	7	by	by	ADP
ejpam-3199	122	8	t	t	NOUN
ejpam-3199	122	9	=	=	PUNCT
ejpam-3199	122	10			ADJ
ejpam-3199	122	11	0	0	NUM
ejpam-3199	122	12	0	0	NUM
ejpam-3199	122	13	1	1	NUM
ejpam-3199	122	14	t	t	NOUN
ejpam-3199	122	15	0	0	NUM
ejpam-3199	122	16	0	0	NUM
ejpam-3199	122	17	0	0	NUM
ejpam-3199	123	1	−1−	−1−	PROPN
ejpam-3199	123	2	t	t	NOUN
ejpam-3199	123	3	0	0	NUM
ejpam-3199	123	4	1	1	NUM
ejpam-3199	123	5	0	0	NUM
ejpam-3199	123	6	1	1	NUM
ejpam-3199	123	7	1	1	NUM
ejpam-3199	123	8	0	0	NUM
ejpam-3199	123	9	0	0	NUM
ejpam-3199	123	10	0	0	NUM
ejpam-3199	123	11			NOUN
ejpam-3199	123	12	.	.	PUNCT
ejpam-3199	124	1	in	in	ADP
ejpam-3199	124	2	fact	fact	NOUN
ejpam-3199	124	3	,	,	PUNCT
ejpam-3199	124	4	a	a	DET
ejpam-3199	124	5	computation	computation	NOUN
ejpam-3199	124	6	shows	show	VERB
ejpam-3199	124	7	that	that	SCONJ
ejpam-3199	124	8	t−1ψ′λ(σ1)t	t−1ψ′λ(σ1)t	PUNCT
ejpam-3199	124	9	=	=	PUNCT
ejpam-3199	124	10			ADJ
ejpam-3199	124	11	1	1	NUM
ejpam-3199	124	12	0	0	NUM
ejpam-3199	124	13	0	0	NUM
ejpam-3199	124	14	0	0	NUM
ejpam-3199	124	15	0	0	NUM
ejpam-3199	124	16	1	1	NUM
ejpam-3199	124	17	0	0	NUM
ejpam-3199	124	18	0	0	NUM
ejpam-3199	124	19	0	0	NUM
ejpam-3199	124	20	0	0	NUM
ejpam-3199	124	21	1	1	NUM
ejpam-3199	124	22	0	0	NUM
ejpam-3199	124	23	0	0	NUM
ejpam-3199	124	24	0	0	NUM
ejpam-3199	124	25	0	0	NUM
ejpam-3199	124	26	−t	−t	NOUN
ejpam-3199	124	27			NOUN
ejpam-3199	124	28	.	.	PUNCT
ejpam-3199	125	1	after	after	ADP
ejpam-3199	125	2	conjugation	conjugation	NOUN
ejpam-3199	125	3	,	,	PUNCT
ejpam-3199	125	4	we	we	PRON
ejpam-3199	125	5	get	get	VERB
ejpam-3199	125	6	t−1ψ′λ(σ2)t	t−1ψ′λ(σ2)t	NOUN
ejpam-3199	125	7	=	=	SYM
ejpam-3199	125	8			ADJ
ejpam-3199	125	9	1	1	NUM
ejpam-3199	125	10	1	1	NUM
ejpam-3199	125	11	0	0	NUM
ejpam-3199	125	12	1	1	NUM
ejpam-3199	125	13	0	0	NUM
ejpam-3199	125	14	−t2	−t2	PROPN
ejpam-3199	125	15	1+t	1+t	NUM
ejpam-3199	125	16	0	0	NUM
ejpam-3199	125	17	−(1+t+t2	−(1+t+t2	NOUN
ejpam-3199	125	18	)	)	PUNCT
ejpam-3199	125	19	1+t	1+t	NUM
ejpam-3199	125	20	0	0	NUM
ejpam-3199	125	21	t(b2+b1t+b2	t(b2+b1t+b2	NUM
ejpam-3199	125	22	t	t	PROPN
ejpam-3199	125	23	)	)	PUNCT
ejpam-3199	125	24	b1(1+t	b1(1+t	PROPN
ejpam-3199	125	25	)	)	PUNCT
ejpam-3199	125	26	1	1	NUM
ejpam-3199	125	27	t(b2+b1t+b2	t(b2+b1t+b2	NUM
ejpam-3199	125	28	t	t	NOUN
ejpam-3199	125	29	)	)	PUNCT
ejpam-3199	125	30	b1(1+t	b1(1+t	PROPN
ejpam-3199	125	31	)	)	PUNCT
ejpam-3199	125	32	0	0	NUM
ejpam-3199	126	1	−t	−t	NOUN
ejpam-3199	126	2	1+t	1+t	NUM
ejpam-3199	126	3	0	0	NUM
ejpam-3199	126	4	1	1	NUM
ejpam-3199	126	5	1+t	1+t	NUM
ejpam-3199	126	6			PROPN
ejpam-3199	126	7	,	,	PUNCT
ejpam-3199	126	8	t−1ψ′λ(σ3)t	t−1ψ′λ(σ3)t	PRON
ejpam-3199	126	9	=	=	SYM
ejpam-3199	126	10			PROPN
ejpam-3199	126	11	−t	−t	NOUN
ejpam-3199	126	12	0	0	NUM
ejpam-3199	126	13	0	0	NUM
ejpam-3199	126	14	0	0	NUM
ejpam-3199	126	15	t	t	PROPN
ejpam-3199	126	16	1	1	NUM
ejpam-3199	126	17	0	0	NUM
ejpam-3199	126	18	0	0	NUM
ejpam-3199	126	19	tb3	tb3	NOUN
ejpam-3199	126	20	b1	b1	NOUN
ejpam-3199	126	21	0	0	NUM
ejpam-3199	126	22	1	1	NUM
ejpam-3199	126	23	0	0	NUM
ejpam-3199	126	24	0	0	NUM
ejpam-3199	126	25	0	0	NUM
ejpam-3199	126	26	0	0	NUM
ejpam-3199	126	27	1	1	NUM
ejpam-3199	126	28			NOUN
ejpam-3199	126	29	,	,	PUNCT
ejpam-3199	126	30	and	and	CCONJ
ejpam-3199	126	31	m.	m.	NOUN
ejpam-3199	126	32	dally	dally	ADV
ejpam-3199	126	33	,	,	PUNCT
ejpam-3199	126	34	m.	m.	NOUN
ejpam-3199	126	35	abdulrahim	abdulrahim	PROPN
ejpam-3199	126	36	/	/	SYM
ejpam-3199	126	37	eur	eur	PROPN
ejpam-3199	126	38	.	.	PUNCT
ejpam-3199	127	1	j.	j.	PROPN
ejpam-3199	127	2	pure	pure	PROPN
ejpam-3199	127	3	appl	appl	PROPN
ejpam-3199	127	4	.	.	PROPN
ejpam-3199	127	5	math	math	PROPN
ejpam-3199	127	6	,	,	PUNCT
ejpam-3199	127	7	11	11	NUM
ejpam-3199	127	8	(	(	PUNCT
ejpam-3199	127	9	1	1	NUM
ejpam-3199	127	10	)	)	PUNCT
ejpam-3199	127	11	(	(	PUNCT
ejpam-3199	127	12	2018	2018	NUM
ejpam-3199	127	13	)	)	PUNCT
ejpam-3199	127	14	,	,	PUNCT
ejpam-3199	127	15	215	215	NUM
ejpam-3199	127	16	-	-	SYM
ejpam-3199	127	17	237	237	NUM
ejpam-3199	127	18	223	223	NUM
ejpam-3199	127	19	t−1ψ′λ(δ)t	t−1ψ′λ(δ)t	NOUN
ejpam-3199	127	20	=	=	NOUN
ejpam-3199	127	21			ADJ
ejpam-3199	127	22	1	1	NUM
ejpam-3199	127	23	0	0	NUM
ejpam-3199	127	24	0	0	NUM
ejpam-3199	127	25	0	0	NUM
ejpam-3199	127	26	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	127	27	)	)	PUNCT
ejpam-3199	127	28	(	(	PUNCT
ejpam-3199	127	29	1+t)2	1+t)2	NOUN
ejpam-3199	127	30	1	1	NUM
ejpam-3199	127	31	+	+	NUM
ejpam-3199	127	32	d2	d2	PROPN
ejpam-3199	127	33	1+t	1+t	NUM
ejpam-3199	127	34	b1	b1	NOUN
ejpam-3199	127	35	1+t	1+t	NUM
ejpam-3199	127	36	t	t	PROPN
ejpam-3199	127	37	1+t	1+t	NUM
ejpam-3199	127	38	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	127	39	)	)	PUNCT
ejpam-3199	127	40	b1(1+t	b1(1+t	NOUN
ejpam-3199	127	41	)	)	PUNCT
ejpam-3199	127	42	k	k	PROPN
ejpam-3199	127	43	d2	d2	PROPN
ejpam-3199	127	44	b1	b1	PROPN
ejpam-3199	127	45	k	k	PROPN
ejpam-3199	127	46	1	1	PROPN
ejpam-3199	127	47	+	+	NUM
ejpam-3199	127	48	k	k	PROPN
ejpam-3199	127	49	(	(	PUNCT
ejpam-3199	127	50	−d1(1+t)+d2+b1	−d1(1+t)+d2+b1	PROPN
ejpam-3199	127	51	t	t	PROPN
ejpam-3199	127	52	)	)	PUNCT
ejpam-3199	127	53	(	(	PUNCT
ejpam-3199	127	54	(	(	PUNCT
ejpam-3199	127	55	∑3	∑3	PROPN
ejpam-3199	127	56	i=1	i=1	PROPN
ejpam-3199	127	57	λibi)(1+t)+b1	λibi)(1+t)+b1	PROPN
ejpam-3199	127	58	t	t	PROPN
ejpam-3199	127	59	)	)	PUNCT
ejpam-3199	127	60	b1(1+t	b1(1+t	PROPN
ejpam-3199	127	61	)	)	PUNCT
ejpam-3199	127	62	t(1+t+t2	t(1+t+t2	PROPN
ejpam-3199	127	63	)	)	PUNCT
ejpam-3199	127	64	1+t	1+t	NUM
ejpam-3199	128	1	−d2	−d2	PROPN
ejpam-3199	128	2	1+t	1+t	NUM
ejpam-3199	128	3	−b1	−b1	PROPN
ejpam-3199	128	4	1+t	1+t	NUM
ejpam-3199	128	5	1	1	NUM
ejpam-3199	128	6	1+t	1+t	NUM
ejpam-3199	128	7			PROPN
ejpam-3199	128	8	.	.	PUNCT
ejpam-3199	129	1	where	where	SCONJ
ejpam-3199	129	2	k	k	PROPN
ejpam-3199	129	3	=	=	SYM
ejpam-3199	129	4	b1	b1	PROPN
ejpam-3199	129	5	t	t	PROPN
ejpam-3199	129	6	1+t	1+t	NUM
ejpam-3199	129	7	+	+	CCONJ
ejpam-3199	129	8	∑3	∑3	PROPN
ejpam-3199	129	9	i=1	i=1	PRON
ejpam-3199	129	10	λibi	λibi	NOUN
ejpam-3199	129	11	.	.	PUNCT
ejpam-3199	130	1	the	the	DET
ejpam-3199	130	2	entries	entry	NOUN
ejpam-3199	130	3	of	of	ADP
ejpam-3199	130	4	the	the	DET
ejpam-3199	130	5	matrices	matrix	NOUN
ejpam-3199	130	6	t−1ψ′λ(σ2)t	t−1ψ′λ(σ2)t	NOUN
ejpam-3199	130	7	and	and	CCONJ
ejpam-3199	130	8	t−1ψ′λ(δ)t	t−1ψ′λ(δ)t	NOUN
ejpam-3199	130	9	are	be	AUX
ejpam-3199	130	10	well	well	ADV
ejpam-3199	130	11	-	-	PUNCT
ejpam-3199	130	12	defined	define	VERB
ejpam-3199	130	13	since	since	SCONJ
ejpam-3199	130	14	we	we	PRON
ejpam-3199	130	15	assume	assume	VERB
ejpam-3199	130	16	in	in	ADP
ejpam-3199	130	17	our	our	PRON
ejpam-3199	130	18	work	work	NOUN
ejpam-3199	130	19	that	that	PRON
ejpam-3199	130	20	t	t	PROPN
ejpam-3199	130	21	6=	6=	ADP
ejpam-3199	130	22	−1	−1	NOUN
ejpam-3199	130	23	.	.	PUNCT
ejpam-3199	131	1	for	for	ADP
ejpam-3199	131	2	simplicity	simplicity	NOUN
ejpam-3199	131	3	,	,	PUNCT
ejpam-3199	131	4	we	we	PRON
ejpam-3199	131	5	denote	denote	VERB
ejpam-3199	131	6	t−1ψ′λ(σ1)t	t−1ψ′λ(σ1)t	ADP
ejpam-3199	131	7	by	by	ADP
ejpam-3199	131	8	ψ′λ(σ1	ψ′λ(σ1	NOUN
ejpam-3199	131	9	)	)	PUNCT
ejpam-3199	131	10	,	,	PUNCT
ejpam-3199	131	11	t	t	PROPN
ejpam-3199	131	12	−1ψ′λ(σ2)t	−1ψ′λ(σ2)t	ADV
ejpam-3199	131	13	by	by	ADP
ejpam-3199	131	14	ψ′λ(σ2	ψ′λ(σ2	NOUN
ejpam-3199	131	15	)	)	PUNCT
ejpam-3199	131	16	,	,	PUNCT
ejpam-3199	131	17	t	t	PROPN
ejpam-3199	131	18	−1ψ′λ(σ3)t	−1ψ′λ(σ3)t	NUM
ejpam-3199	131	19	by	by	ADP
ejpam-3199	131	20	ψ′λ(σ3	ψ′λ(σ3	NOUN
ejpam-3199	131	21	)	)	PUNCT
ejpam-3199	131	22	,	,	PUNCT
ejpam-3199	131	23	and	and	CCONJ
ejpam-3199	131	24	t−1ψ′λ(δ)t	t−1ψ′λ(δ)t	NOUN
ejpam-3199	131	25	by	by	ADP
ejpam-3199	131	26	ψ′λ(δ	ψ′λ(δ	NOUN
ejpam-3199	131	27	)	)	PUNCT
ejpam-3199	131	28	.	.	PUNCT
ejpam-3199	132	1	we	we	PRON
ejpam-3199	132	2	now	now	ADV
ejpam-3199	132	3	prove	prove	VERB
ejpam-3199	132	4	some	some	DET
ejpam-3199	132	5	lemmas	lemma	NOUN
ejpam-3199	132	6	and	and	CCONJ
ejpam-3199	132	7	propositions	proposition	NOUN
ejpam-3199	132	8	to	to	PART
ejpam-3199	132	9	determine	determine	VERB
ejpam-3199	132	10	a	a	DET
ejpam-3199	132	11	sufficient	sufficient	ADJ
ejpam-3199	132	12	and	and	CCONJ
ejpam-3199	132	13	necessary	necessary	ADJ
ejpam-3199	132	14	condition	condition	NOUN
ejpam-3199	132	15	for	for	ADP
ejpam-3199	132	16	irreducibility	irreducibility	NOUN
ejpam-3199	132	17	of	of	ADP
ejpam-3199	132	18	ψ′λ	ψ′λ	PROPN
ejpam-3199	132	19	:	:	PUNCT
ejpam-3199	132	20	a(e4,1)→	a(e4,1)→	X
ejpam-3199	132	21	gl4(c	gl4(c	NOUN
ejpam-3199	132	22	)	)	PUNCT
ejpam-3199	132	23	.	.	PUNCT
ejpam-3199	133	1	lemma	lemma	PROPN
ejpam-3199	133	2	2	2	X
ejpam-3199	133	3	.	.	PUNCT
ejpam-3199	134	1	the	the	DET
ejpam-3199	134	2	proper	proper	ADJ
ejpam-3199	134	3	subspace	subspace	NOUN
ejpam-3199	134	4	s	s	PART
ejpam-3199	134	5	=	=	X
ejpam-3199	134	6	〈	〈	PROPN
ejpam-3199	134	7	e1	e1	PROPN
ejpam-3199	134	8	,	,	PUNCT
ejpam-3199	134	9	e4	e4	PROPN
ejpam-3199	134	10	,	,	PUNCT
ejpam-3199	134	11	e2	e2	PROPN
ejpam-3199	134	12	+	+	CCONJ
ejpam-3199	134	13	b3	b3	PROPN
ejpam-3199	134	14	b1	b1	NOUN
ejpam-3199	134	15	e3	e3	NOUN
ejpam-3199	134	16	〉	〉	NOUN
ejpam-3199	134	17	is	be	AUX
ejpam-3199	134	18	not	not	PART
ejpam-3199	134	19	invariant	invariant	ADJ
ejpam-3199	134	20	if	if	SCONJ
ejpam-3199	134	21	and	and	CCONJ
ejpam-3199	134	22	only	only	ADV
ejpam-3199	134	23	if	if	SCONJ
ejpam-3199	134	24	t4	t4	PROPN
ejpam-3199	134	25	+	+	PROPN
ejpam-3199	134	26	t3	t3	PROPN
ejpam-3199	134	27	+	+	CCONJ
ejpam-3199	134	28	t2	t2	NOUN
ejpam-3199	134	29	+	+	CCONJ
ejpam-3199	134	30	t+	t+	NOUN
ejpam-3199	134	31	1	1	NUM
ejpam-3199	134	32	6=	6=	SYM
ejpam-3199	134	33	0	0	NUM
ejpam-3199	134	34	.	.	PUNCT
ejpam-3199	135	1	proof	proof	NOUN
ejpam-3199	135	2	.	.	PUNCT
ejpam-3199	136	1	first	first	ADV
ejpam-3199	136	2	,	,	PUNCT
ejpam-3199	136	3	we	we	PRON
ejpam-3199	136	4	prove	prove	VERB
ejpam-3199	136	5	that	that	SCONJ
ejpam-3199	136	6	proper	proper	ADJ
ejpam-3199	136	7	subspace	subspace	NOUN
ejpam-3199	136	8	s	s	PART
ejpam-3199	136	9	=	=	X
ejpam-3199	136	10	〈	〈	PROPN
ejpam-3199	136	11	e1	e1	PROPN
ejpam-3199	136	12	,	,	PUNCT
ejpam-3199	136	13	e4	e4	PROPN
ejpam-3199	136	14	,	,	PUNCT
ejpam-3199	136	15	e2	e2	PROPN
ejpam-3199	136	16	+	+	CCONJ
ejpam-3199	136	17	b3	b3	PROPN
ejpam-3199	136	18	b1	b1	NOUN
ejpam-3199	136	19	e3	e3	NOUN
ejpam-3199	136	20	〉	〉	NOUN
ejpam-3199	136	21	is	be	AUX
ejpam-3199	136	22	not	not	PART
ejpam-3199	136	23	invariant	invariant	ADJ
ejpam-3199	136	24	if	if	SCONJ
ejpam-3199	136	25	t4	t4	PROPN
ejpam-3199	136	26	+	+	PROPN
ejpam-3199	136	27	t3	t3	PROPN
ejpam-3199	136	28	+	+	CCONJ
ejpam-3199	136	29	t2	t2	NOUN
ejpam-3199	136	30	+	+	CCONJ
ejpam-3199	136	31	t+	t+	NOUN
ejpam-3199	136	32	1	1	NUM
ejpam-3199	136	33	6=	6=	SYM
ejpam-3199	136	34	0	0	NUM
ejpam-3199	136	35	.	.	PUNCT
ejpam-3199	137	1	assume	assume	VERB
ejpam-3199	137	2	,	,	PUNCT
ejpam-3199	137	3	for	for	ADP
ejpam-3199	137	4	contradiction	contradiction	NOUN
ejpam-3199	137	5	,	,	PUNCT
ejpam-3199	137	6	that	that	PRON
ejpam-3199	137	7	s	s	VERB
ejpam-3199	137	8	is	be	AUX
ejpam-3199	137	9	invariant	invariant	ADJ
ejpam-3199	137	10	.	.	PUNCT
ejpam-3199	138	1	we	we	PRON
ejpam-3199	138	2	have	have	VERB
ejpam-3199	138	3	ψ′λ(σ2)(e4	ψ′λ(σ2)(e4	NOUN
ejpam-3199	138	4	)	)	PUNCT
ejpam-3199	138	5	=	=	SYM
ejpam-3199	138	6			NOUN
ejpam-3199	138	7	1	1	NUM
ejpam-3199	138	8	−(1+t+t2	−(1+t+t2	NOUN
ejpam-3199	138	9	)	)	PUNCT
ejpam-3199	138	10	1+t	1+t	NUM
ejpam-3199	138	11	t(b2+b2t+b1	t(b2+b2t+b1	PROPN
ejpam-3199	138	12	t	t	PROPN
ejpam-3199	138	13	)	)	PUNCT
ejpam-3199	138	14	b1(1+t	b1(1+t	PROPN
ejpam-3199	138	15	)	)	PUNCT
ejpam-3199	138	16	1	1	NUM
ejpam-3199	138	17	1+t	1+t	NUM
ejpam-3199	138	18			PROPN
ejpam-3199	138	19	∈	∈	PROPN
ejpam-3199	138	20	s.	s.	PROPN
ejpam-3199	138	21	this	this	PRON
ejpam-3199	138	22	implies	imply	VERB
ejpam-3199	138	23	that	that	SCONJ
ejpam-3199	138	24	(	(	PUNCT
ejpam-3199	138	25	1	1	NUM
ejpam-3199	138	26	+	+	NUM
ejpam-3199	138	27	t+	t+	NOUN
ejpam-3199	138	28	t2)b3	t2)b3	PRON
ejpam-3199	138	29	=	=	SYM
ejpam-3199	138	30	−t(b2	−t(b2	PROPN
ejpam-3199	138	31	+	+	CCONJ
ejpam-3199	138	32	tb2	tb2	PROPN
ejpam-3199	138	33	+	+	CCONJ
ejpam-3199	138	34	tb1	tb1	PROPN
ejpam-3199	138	35	)	)	PUNCT
ejpam-3199	138	36	.	.	PUNCT
ejpam-3199	139	1	by	by	ADP
ejpam-3199	139	2	using	use	VERB
ejpam-3199	139	3	the	the	DET
ejpam-3199	139	4	equations	equation	NOUN
ejpam-3199	139	5	:	:	PUNCT
ejpam-3199	139	6	tb2	tb2	PROPN
ejpam-3199	139	7	=	=	PUNCT
ejpam-3199	139	8	−td1+(1+t)d2	−td1+(1+t)d2	PROPN
ejpam-3199	139	9	+	+	PROPN
ejpam-3199	139	10	t(1+t+t2	t(1+t+t2	NOUN
ejpam-3199	139	11	)	)	PUNCT
ejpam-3199	139	12	1+t	1+t	NUM
ejpam-3199	139	13	,	,	PUNCT
ejpam-3199	139	14	tb3	tb3	NOUN
ejpam-3199	139	15	=	=	SYM
ejpam-3199	139	16	−td2−t(1+t+t2	−td2−t(1+t+t2	NOUN
ejpam-3199	139	17	)	)	PUNCT
ejpam-3199	139	18	,	,	PUNCT
ejpam-3199	139	19	and	and	CCONJ
ejpam-3199	139	20	tb1	tb1	PROPN
ejpam-3199	139	21	=	=	SYM
ejpam-3199	139	22	(	(	PUNCT
ejpam-3199	139	23	1	1	NUM
ejpam-3199	139	24	+	+	NUM
ejpam-3199	139	25	t)d1−	t)d1−	NOUN
ejpam-3199	139	26	d2	d2	PROPN
ejpam-3199	139	27	+	+	PROPN
ejpam-3199	139	28	t	t	PROPN
ejpam-3199	139	29	,	,	PUNCT
ejpam-3199	139	30	simple	simple	ADJ
ejpam-3199	139	31	computations	computation	NOUN
ejpam-3199	139	32	give	give	VERB
ejpam-3199	139	33	t4	t4	PROPN
ejpam-3199	139	34	+	+	CCONJ
ejpam-3199	139	35	t3	t3	PROPN
ejpam-3199	139	36	+	+	CCONJ
ejpam-3199	140	1	t2	t2	NOUN
ejpam-3199	141	1	+	+	CCONJ
ejpam-3199	141	2	t+	t+	NOUN
ejpam-3199	141	3	1	1	NUM
ejpam-3199	141	4	=	=	SYM
ejpam-3199	141	5	0	0	NUM
ejpam-3199	141	6	,	,	PUNCT
ejpam-3199	141	7	a	a	DET
ejpam-3199	141	8	contradiction	contradiction	NOUN
ejpam-3199	141	9	.	.	PUNCT
ejpam-3199	142	1	on	on	ADP
ejpam-3199	142	2	the	the	DET
ejpam-3199	142	3	other	other	ADJ
ejpam-3199	142	4	hand	hand	NOUN
ejpam-3199	142	5	,	,	PUNCT
ejpam-3199	142	6	we	we	PRON
ejpam-3199	142	7	assume	assume	VERB
ejpam-3199	142	8	that	that	SCONJ
ejpam-3199	142	9	t4	t4	PROPN
ejpam-3199	142	10	+	+	PROPN
ejpam-3199	142	11	t3	t3	PROPN
ejpam-3199	142	12	+	+	CCONJ
ejpam-3199	142	13	t2	t2	NOUN
ejpam-3199	142	14	+	+	CCONJ
ejpam-3199	142	15	t+	t+	NOUN
ejpam-3199	142	16	1	1	NUM
ejpam-3199	142	17	=	=	SYM
ejpam-3199	142	18	0	0	NUM
ejpam-3199	142	19	.	.	PUNCT
ejpam-3199	143	1	we	we	PRON
ejpam-3199	143	2	prove	prove	VERB
ejpam-3199	143	3	that	that	SCONJ
ejpam-3199	143	4	the	the	DET
ejpam-3199	143	5	proper	proper	ADJ
ejpam-3199	143	6	subspace	subspace	NOUN
ejpam-3199	143	7	s	s	PART
ejpam-3199	143	8	=	=	X
ejpam-3199	143	9	〈	〈	PROPN
ejpam-3199	143	10	e1	e1	PROPN
ejpam-3199	143	11	,	,	PUNCT
ejpam-3199	143	12	e4	e4	PROPN
ejpam-3199	143	13	,	,	PUNCT
ejpam-3199	143	14	e2	e2	PROPN
ejpam-3199	143	15	+	+	CCONJ
ejpam-3199	143	16	b3	b3	PROPN
ejpam-3199	143	17	b1	b1	NOUN
ejpam-3199	143	18	e3	e3	NOUN
ejpam-3199	143	19	〉	〉	NOUN
ejpam-3199	143	20	is	be	AUX
ejpam-3199	143	21	invariant	invariant	ADJ
ejpam-3199	143	22	as	as	SCONJ
ejpam-3199	143	23	follows	follow	VERB
ejpam-3199	143	24	:	:	PUNCT
ejpam-3199	143	25	m.	m.	NOUN
ejpam-3199	143	26	dally	dally	ADV
ejpam-3199	143	27	,	,	PUNCT
ejpam-3199	143	28	m.	m.	NOUN
ejpam-3199	143	29	abdulrahim	abdulrahim	PROPN
ejpam-3199	143	30	/	/	SYM
ejpam-3199	143	31	eur	eur	PROPN
ejpam-3199	143	32	.	.	PUNCT
ejpam-3199	144	1	j.	j.	PROPN
ejpam-3199	144	2	pure	pure	PROPN
ejpam-3199	144	3	appl	appl	PROPN
ejpam-3199	144	4	.	.	PROPN
ejpam-3199	144	5	math	math	PROPN
ejpam-3199	144	6	,	,	PUNCT
ejpam-3199	144	7	11	11	NUM
ejpam-3199	144	8	(	(	PUNCT
ejpam-3199	144	9	1	1	NUM
ejpam-3199	144	10	)	)	PUNCT
ejpam-3199	144	11	(	(	PUNCT
ejpam-3199	144	12	2018	2018	NUM
ejpam-3199	144	13	)	)	PUNCT
ejpam-3199	144	14	,	,	PUNCT
ejpam-3199	144	15	215	215	NUM
ejpam-3199	144	16	-	-	SYM
ejpam-3199	144	17	237	237	NUM
ejpam-3199	144	18	224	224	NUM
ejpam-3199	144	19	(	(	PUNCT
ejpam-3199	144	20	i	i	NOUN
ejpam-3199	144	21	)	)	PUNCT
ejpam-3199	144	22	ψ′λσ1(e1	ψ′λσ1(e1	PROPN
ejpam-3199	144	23	)	)	PUNCT
ejpam-3199	145	1	=	=	SYM
ejpam-3199	145	2	e1	e1	PROPN
ejpam-3199	145	3	∈	∈	PROPN
ejpam-3199	145	4	s.	s.	PROPN
ejpam-3199	145	5	(	(	PUNCT
ejpam-3199	145	6	ii	ii	NOUN
ejpam-3199	145	7	)	)	PUNCT
ejpam-3199	145	8	ψ′λσ2(e1	ψ′λσ2(e1	PROPN
ejpam-3199	145	9	)	)	PUNCT
ejpam-3199	146	1	=	=	SYM
ejpam-3199	146	2	e1	e1	PROPN
ejpam-3199	146	3	∈	∈	PROPN
ejpam-3199	146	4	s.	s.	PROPN
ejpam-3199	146	5	(	(	PUNCT
ejpam-3199	146	6	iii	iii	NOUN
ejpam-3199	146	7	)	)	PUNCT
ejpam-3199	146	8	ψ′λσ3(e1	ψ′λσ3(e1	NOUN
ejpam-3199	146	9	)	)	PUNCT
ejpam-3199	147	1	=	=	NOUN
ejpam-3199	147	2			NOUN
ejpam-3199	147	3	−t	−t	PROPN
ejpam-3199	147	4	t	t	PROPN
ejpam-3199	147	5	tb3	tb3	PROPN
ejpam-3199	147	6	b1	b1	NOUN
ejpam-3199	147	7	0	0	NUM
ejpam-3199	147	8			NOUN
ejpam-3199	147	9	∈	∈	PROPN
ejpam-3199	147	10	s.	s.	PROPN
ejpam-3199	147	11	(	(	PUNCT
ejpam-3199	147	12	iv	iv	X
ejpam-3199	147	13	)	)	PUNCT
ejpam-3199	147	14	ψ′λδ(e1	ψ′λδ(e1	NOUN
ejpam-3199	147	15	)	)	PUNCT
ejpam-3199	148	1	=	=	PUNCT
ejpam-3199	148	2			ADJ
ejpam-3199	148	3	1	1	NUM
ejpam-3199	148	4	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	148	5	)	)	PUNCT
ejpam-3199	148	6	(	(	PUNCT
ejpam-3199	148	7	1+t)2	1+t)2	NOUN
ejpam-3199	148	8	−t2(1+t+t2	−t2(1+t+t2	NOUN
ejpam-3199	148	9	)	)	PUNCT
ejpam-3199	148	10	(	(	PUNCT
ejpam-3199	148	11	1+t)2	1+t)2	NOUN
ejpam-3199	148	12	+	+	CCONJ
ejpam-3199	148	13	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	148	14	)	)	PUNCT
ejpam-3199	148	15	b1(1+t	b1(1+t	NOUN
ejpam-3199	148	16	)	)	PUNCT
ejpam-3199	148	17	(	(	PUNCT
ejpam-3199	148	18	λ1b1	λ1b1	X
ejpam-3199	148	19	+	+	PUNCT
ejpam-3199	148	20	λ2b2	λ2b2	ADJ
ejpam-3199	148	21	+	+	ADJ
ejpam-3199	148	22	λ3b3	λ3b3	NOUN
ejpam-3199	148	23	)	)	PUNCT
ejpam-3199	148	24	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	148	25	)	)	PUNCT
ejpam-3199	148	26	(	(	PUNCT
ejpam-3199	148	27	1+t)2	1+t)2	NOUN
ejpam-3199	148	28			NOUN
ejpam-3199	148	29	=	=	SYM
ejpam-3199	148	30	ae1+be4+c(e2	ae1+be4+c(e2	PROPN
ejpam-3199	148	31	+	+	SYM
ejpam-3199	148	32	b3	b3	PROPN
ejpam-3199	148	33	b1	b1	NOUN
ejpam-3199	148	34	e3	e3	NOUN
ejpam-3199	148	35	)	)	PUNCT
ejpam-3199	148	36	.	.	PUNCT
ejpam-3199	149	1	here	here	ADV
ejpam-3199	149	2	,	,	PUNCT
ejpam-3199	149	3	we	we	PRON
ejpam-3199	149	4	have	have	VERB
ejpam-3199	149	5	a	a	DET
ejpam-3199	149	6	=	=	SYM
ejpam-3199	149	7	1	1	NUM
ejpam-3199	149	8	,	,	PUNCT
ejpam-3199	149	9	b	b	NOUN
ejpam-3199	149	10	=	=	SYM
ejpam-3199	149	11	−d3	−d3	PROPN
ejpam-3199	149	12	1+t	1+t	NUM
ejpam-3199	149	13	,	,	PUNCT
ejpam-3199	149	14	c	c	X
ejpam-3199	149	15	=	=	SYM
ejpam-3199	149	16	d3	d3	PROPN
ejpam-3199	149	17	1+t	1+t	NUM
ejpam-3199	149	18	,	,	PUNCT
ejpam-3199	149	19	and	and	CCONJ
ejpam-3199	149	20	cb3	cb3	PROPN
ejpam-3199	149	21	b1	b1	NOUN
ejpam-3199	149	22	=	=	SYM
ejpam-3199	149	23	−t2(1+t+t2	−t2(1+t+t2	PROPN
ejpam-3199	149	24	)	)	PUNCT
ejpam-3199	149	25	(	(	PUNCT
ejpam-3199	149	26	1+t)2	1+t)2	NOUN
ejpam-3199	149	27	+	+	CCONJ
ejpam-3199	149	28	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	149	29	)	)	PUNCT
ejpam-3199	149	30	b1(1+t	b1(1+t	NOUN
ejpam-3199	149	31	)	)	PUNCT
ejpam-3199	149	32	(	(	PUNCT
ejpam-3199	149	33	λ1b1	λ1b1	X
ejpam-3199	149	34	+	+	PUNCT
ejpam-3199	149	35	λ2b2	λ2b2	X
ejpam-3199	149	36	+	+	NUM
ejpam-3199	149	37	λ3b3	λ3b3	NOUN
ejpam-3199	149	38	)	)	PUNCT
ejpam-3199	149	39	.	.	PUNCT
ejpam-3199	150	1	thus	thus	ADV
ejpam-3199	150	2	,	,	PUNCT
ejpam-3199	150	3	b3	b3	PROPN
ejpam-3199	150	4	b1	b1	NOUN
ejpam-3199	150	5	=	=	SYM
ejpam-3199	150	6	b1t+(1+t)(λ1b1+λ2b2+λ3b3	b1t+(1+t)(λ1b1+λ2b2+λ3b3	NOUN
ejpam-3199	150	7	)	)	PUNCT
ejpam-3199	150	8	b1	b1	NOUN
ejpam-3199	150	9	.	.	PUNCT
ejpam-3199	151	1	(	(	PUNCT
ejpam-3199	151	2	5.1	5.1	NUM
ejpam-3199	151	3	)	)	PUNCT
ejpam-3199	151	4	(	(	PUNCT
ejpam-3199	151	5	v	v	NOUN
ejpam-3199	151	6	)	)	PUNCT
ejpam-3199	151	7	ψ′λσ1(e4	ψ′λσ1(e4	NOUN
ejpam-3199	151	8	)	)	PUNCT
ejpam-3199	152	1	=	=	PUNCT
ejpam-3199	152	2	−te4	−te4	PROPN
ejpam-3199	152	3	∈	∈	PROPN
ejpam-3199	152	4	s.	s.	PROPN
ejpam-3199	152	5	(	(	PUNCT
ejpam-3199	152	6	vi	vi	NOUN
ejpam-3199	152	7	)	)	PUNCT
ejpam-3199	152	8	ψ′λσ2(e4	ψ′λσ2(e4	PROPN
ejpam-3199	152	9	)	)	PUNCT
ejpam-3199	153	1	=	=	SYM
ejpam-3199	153	2			NOUN
ejpam-3199	153	3	1	1	NUM
ejpam-3199	153	4	−(1+t+t2	−(1+t+t2	NOUN
ejpam-3199	153	5	)	)	PUNCT
ejpam-3199	153	6	1+t	1+t	NUM
ejpam-3199	153	7	t(b2+b2t+b1	t(b2+b2t+b1	PROPN
ejpam-3199	153	8	t	t	PROPN
ejpam-3199	153	9	)	)	PUNCT
ejpam-3199	153	10	b1(1+t	b1(1+t	PROPN
ejpam-3199	153	11	)	)	PUNCT
ejpam-3199	153	12	1	1	NUM
ejpam-3199	153	13	1+t	1+t	NUM
ejpam-3199	153	14			NOUN
ejpam-3199	153	15	=	=	SYM
ejpam-3199	153	16	ae1	ae1	PROPN
ejpam-3199	153	17	+	+	NUM
ejpam-3199	153	18	be4	be4	NOUN
ejpam-3199	153	19	+	+	CCONJ
ejpam-3199	153	20	c(e2	c(e2	NOUN
ejpam-3199	153	21	+	+	CCONJ
ejpam-3199	153	22	b3	b3	PROPN
ejpam-3199	153	23	b1	b1	NOUN
ejpam-3199	153	24	e3	e3	NOUN
ejpam-3199	153	25	)	)	PUNCT
ejpam-3199	153	26	.	.	PUNCT
ejpam-3199	154	1	here	here	ADV
ejpam-3199	154	2	,	,	PUNCT
ejpam-3199	154	3	we	we	PRON
ejpam-3199	154	4	have	have	VERB
ejpam-3199	154	5	a	a	DET
ejpam-3199	154	6	=	=	SYM
ejpam-3199	154	7	1	1	NUM
ejpam-3199	154	8	,	,	PUNCT
ejpam-3199	154	9	b	b	X
ejpam-3199	154	10	=	=	SYM
ejpam-3199	154	11	1	1	NUM
ejpam-3199	154	12	1+t	1+t	NUM
ejpam-3199	154	13	,	,	PUNCT
ejpam-3199	154	14	c	c	NOUN
ejpam-3199	154	15	=	=	SYM
ejpam-3199	154	16	−(1+t+t2	−(1+t+t2	PROPN
ejpam-3199	154	17	)	)	PUNCT
ejpam-3199	154	18	1+t	1+t	NUM
ejpam-3199	154	19	,	,	PUNCT
ejpam-3199	154	20	and	and	CCONJ
ejpam-3199	154	21	cb3	cb3	PROPN
ejpam-3199	154	22	b1	b1	PROPN
ejpam-3199	154	23	=	=	SYM
ejpam-3199	154	24	t(b2+b2t+b1	t(b2+b2t+b1	PROPN
ejpam-3199	154	25	t	t	PROPN
ejpam-3199	154	26	)	)	PUNCT
ejpam-3199	154	27	b1(1+t	b1(1+t	PROPN
ejpam-3199	154	28	)	)	PUNCT
ejpam-3199	154	29	.	.	PUNCT
ejpam-3199	155	1	thus	thus	ADV
ejpam-3199	155	2	,	,	PUNCT
ejpam-3199	155	3	−(1	−(1	ADJ
ejpam-3199	155	4	+	+	CCONJ
ejpam-3199	155	5	t+	t+	PUNCT
ejpam-3199	155	6	t2	t2	NOUN
ejpam-3199	155	7	)	)	PUNCT
ejpam-3199	155	8	b3b1	b3b1	ADP
ejpam-3199	155	9	=	=	PROPN
ejpam-3199	155	10	t(b2+b2t+b1	t(b2+b2t+b1	PROPN
ejpam-3199	155	11	t	t	PROPN
ejpam-3199	155	12	)	)	PUNCT
ejpam-3199	155	13	b1	b1	NOUN
ejpam-3199	155	14	.	.	PUNCT
ejpam-3199	156	1	(	(	PUNCT
ejpam-3199	156	2	5.2	5.2	NUM
ejpam-3199	156	3	)	)	PUNCT
ejpam-3199	156	4	(	(	PUNCT
ejpam-3199	156	5	vii	vii	PROPN
ejpam-3199	156	6	)	)	PUNCT
ejpam-3199	156	7	ψ′λσ3(e4	ψ′λσ3(e4	PROPN
ejpam-3199	156	8	)	)	PUNCT
ejpam-3199	157	1	=	=	PROPN
ejpam-3199	157	2	e4	e4	PROPN
ejpam-3199	157	3	∈	∈	PROPN
ejpam-3199	157	4	s.	s.	PROPN
ejpam-3199	157	5	m.	m.	PROPN
ejpam-3199	157	6	dally	dally	PROPN
ejpam-3199	157	7	,	,	PUNCT
ejpam-3199	157	8	m.	m.	NOUN
ejpam-3199	157	9	abdulrahim	abdulrahim	PROPN
ejpam-3199	157	10	/	/	SYM
ejpam-3199	157	11	eur	eur	PROPN
ejpam-3199	157	12	.	.	PUNCT
ejpam-3199	158	1	j.	j.	PROPN
ejpam-3199	158	2	pure	pure	PROPN
ejpam-3199	158	3	appl	appl	PROPN
ejpam-3199	158	4	.	.	PROPN
ejpam-3199	158	5	math	math	PROPN
ejpam-3199	158	6	,	,	PUNCT
ejpam-3199	158	7	11	11	NUM
ejpam-3199	158	8	(	(	PUNCT
ejpam-3199	158	9	1	1	NUM
ejpam-3199	158	10	)	)	PUNCT
ejpam-3199	158	11	(	(	PUNCT
ejpam-3199	158	12	2018	2018	NUM
ejpam-3199	158	13	)	)	PUNCT
ejpam-3199	158	14	,	,	PUNCT
ejpam-3199	158	15	215	215	NUM
ejpam-3199	158	16	-	-	SYM
ejpam-3199	158	17	237	237	NUM
ejpam-3199	158	18	225	225	NUM
ejpam-3199	158	19	(	(	PUNCT
ejpam-3199	158	20	viii	viii	NOUN
ejpam-3199	158	21	)	)	PUNCT
ejpam-3199	158	22	ψ′λδ(e4	ψ′λδ(e4	NOUN
ejpam-3199	158	23	)	)	PUNCT
ejpam-3199	158	24	=	=	SYM
ejpam-3199	159	1			NOUN
ejpam-3199	159	2	0	0	NUM
ejpam-3199	160	1	t	t	PROPN
ejpam-3199	160	2	1+t	1+t	NUM
ejpam-3199	160	3	(	(	PUNCT
ejpam-3199	160	4	−d1(1+t)+d2+b1t)((λ1b1+λ2b2+λ3b3)(1+t)+b1	−d1(1+t)+d2+b1t)((λ1b1+λ2b2+λ3b3)(1+t)+b1	PROPN
ejpam-3199	160	5	t	t	PROPN
ejpam-3199	160	6	)	)	PUNCT
ejpam-3199	160	7	b1(1+t	b1(1+t	PROPN
ejpam-3199	160	8	)	)	PUNCT
ejpam-3199	160	9	1	1	NUM
ejpam-3199	160	10	1+t	1+t	NUM
ejpam-3199	160	11			NOUN
ejpam-3199	160	12	=	=	SYM
ejpam-3199	160	13	ae1	ae1	PROPN
ejpam-3199	160	14	+	+	NUM
ejpam-3199	160	15	be4	be4	NOUN
ejpam-3199	160	16	+	+	CCONJ
ejpam-3199	160	17	c(e2	c(e2	NOUN
ejpam-3199	160	18	+	+	CCONJ
ejpam-3199	160	19	b3	b3	PROPN
ejpam-3199	160	20	b1	b1	NOUN
ejpam-3199	160	21	e3	e3	NOUN
ejpam-3199	160	22	)	)	PUNCT
ejpam-3199	160	23	.	.	PUNCT
ejpam-3199	161	1	here	here	ADV
ejpam-3199	161	2	,	,	PUNCT
ejpam-3199	161	3	we	we	PRON
ejpam-3199	161	4	have	have	VERB
ejpam-3199	161	5	a	a	DET
ejpam-3199	161	6	=	=	SYM
ejpam-3199	161	7	0	0	NUM
ejpam-3199	161	8	,	,	PUNCT
ejpam-3199	161	9	b	b	X
ejpam-3199	161	10	=	=	SYM
ejpam-3199	161	11	1	1	NUM
ejpam-3199	161	12	1+t	1+t	NUM
ejpam-3199	161	13	,	,	PUNCT
ejpam-3199	161	14	c	c	PROPN
ejpam-3199	161	15	=	=	SYM
ejpam-3199	161	16	t	t	PROPN
ejpam-3199	161	17	1+t	1+t	NUM
ejpam-3199	161	18	,	,	PUNCT
ejpam-3199	161	19	and	and	CCONJ
ejpam-3199	161	20	cb3	cb3	PROPN
ejpam-3199	161	21	b1	b1	NOUN
ejpam-3199	161	22	=	=	SYM
ejpam-3199	161	23	(	(	PUNCT
ejpam-3199	161	24	−d1(1+t)+d2+b1t)((λ1b1+λ2b2+λ3b3)(1+t)+b1	−d1(1+t)+d2+b1t)((λ1b1+λ2b2+λ3b3)(1+t)+b1	PROPN
ejpam-3199	161	25	t	t	PROPN
ejpam-3199	161	26	)	)	PUNCT
ejpam-3199	161	27	b1(1+t	b1(1+t	PROPN
ejpam-3199	161	28	)	)	PUNCT
ejpam-3199	161	29	.	.	PUNCT
ejpam-3199	162	1	thus	thus	ADV
ejpam-3199	162	2	,	,	PUNCT
ejpam-3199	162	3	b3	b3	PROPN
ejpam-3199	162	4	b1	b1	NOUN
ejpam-3199	162	5	=	=	SYM
ejpam-3199	162	6	(	(	PUNCT
ejpam-3199	162	7	−d1(1+t)+d2+b1t)((λ1b1+λ2b2+λ3b3)(1+t)+b1	−d1(1+t)+d2+b1t)((λ1b1+λ2b2+λ3b3)(1+t)+b1	PROPN
ejpam-3199	162	8	t	t	PROPN
ejpam-3199	162	9	)	)	PUNCT
ejpam-3199	162	10	b1	b1	PROPN
ejpam-3199	162	11	t	t	PROPN
ejpam-3199	162	12	.	.	PUNCT
ejpam-3199	163	1	(	(	PUNCT
ejpam-3199	163	2	5.3	5.3	NUM
ejpam-3199	163	3	)	)	PUNCT
ejpam-3199	163	4	(	(	PUNCT
ejpam-3199	163	5	ix	ix	PROPN
ejpam-3199	163	6	)	)	PUNCT
ejpam-3199	163	7	ψ′λσ1(e2	ψ′λσ1(e2	PROPN
ejpam-3199	163	8	+	+	CCONJ
ejpam-3199	163	9	b3	b3	PROPN
ejpam-3199	163	10	b1	b1	NOUN
ejpam-3199	163	11	e3	e3	NOUN
ejpam-3199	163	12	)	)	PUNCT
ejpam-3199	163	13	=	=	SYM
ejpam-3199	163	14	e2	e2	PROPN
ejpam-3199	163	15	+	+	CCONJ
ejpam-3199	163	16	b3	b3	PROPN
ejpam-3199	163	17	b1	b1	NOUN
ejpam-3199	163	18	e3	e3	NOUN
ejpam-3199	163	19	∈	∈	PROPN
ejpam-3199	163	20	s.	s.	PROPN
ejpam-3199	163	21	(	(	PUNCT
ejpam-3199	163	22	x	x	X
ejpam-3199	163	23	)	)	PUNCT
ejpam-3199	163	24	ψ′λσ2(e2	ψ′λσ2(e2	PROPN
ejpam-3199	163	25	+	+	CCONJ
ejpam-3199	163	26	b3	b3	PROPN
ejpam-3199	163	27	b1	b1	NOUN
ejpam-3199	163	28	e3	e3	NOUN
ejpam-3199	163	29	)	)	PUNCT
ejpam-3199	163	30	=	=	SYM
ejpam-3199	163	31			NOUN
ejpam-3199	163	32	0	0	NUM
ejpam-3199	163	33	−t2	−t2	PROPN
ejpam-3199	163	34	1+t	1+t	NUM
ejpam-3199	163	35	t(b2+b2t+b1	t(b2+b2t+b1	PROPN
ejpam-3199	163	36	t	t	PROPN
ejpam-3199	163	37	)	)	PUNCT
ejpam-3199	163	38	b1(1+t	b1(1+t	PROPN
ejpam-3199	163	39	)	)	PUNCT
ejpam-3199	163	40	+	+	NUM
ejpam-3199	163	41	b3	b3	PROPN
ejpam-3199	163	42	b1	b1	NOUN
ejpam-3199	163	43	−t	−t	NOUN
ejpam-3199	163	44	1+t	1+t	NUM
ejpam-3199	163	45			PUNCT
ejpam-3199	163	46	=	=	SYM
ejpam-3199	163	47	ae1	ae1	PROPN
ejpam-3199	163	48	+	+	NUM
ejpam-3199	163	49	be4	be4	NOUN
ejpam-3199	163	50	+	+	CCONJ
ejpam-3199	163	51	c(e2	c(e2	NOUN
ejpam-3199	163	52	+	+	CCONJ
ejpam-3199	163	53	b3	b3	PROPN
ejpam-3199	163	54	b1	b1	NOUN
ejpam-3199	163	55	e3	e3	NOUN
ejpam-3199	163	56	)	)	PUNCT
ejpam-3199	163	57	.	.	PUNCT
ejpam-3199	164	1	here	here	ADV
ejpam-3199	164	2	,	,	PUNCT
ejpam-3199	164	3	we	we	PRON
ejpam-3199	164	4	have	have	VERB
ejpam-3199	164	5	a	a	DET
ejpam-3199	164	6	=	=	SYM
ejpam-3199	164	7	1	1	NUM
ejpam-3199	164	8	,	,	PUNCT
ejpam-3199	164	9	b	b	X
ejpam-3199	164	10	=	=	SYM
ejpam-3199	164	11	−t	−t	PROPN
ejpam-3199	164	12	1+t	1+t	NUM
ejpam-3199	164	13	,	,	PUNCT
ejpam-3199	165	1	c	c	X
ejpam-3199	165	2	=	=	SYM
ejpam-3199	165	3	−t2	−t2	PROPN
ejpam-3199	165	4	1+t	1+t	NUM
ejpam-3199	165	5	,	,	PUNCT
ejpam-3199	165	6	and	and	CCONJ
ejpam-3199	165	7	cb3	cb3	PROPN
ejpam-3199	165	8	b1	b1	PROPN
ejpam-3199	165	9	=	=	SYM
ejpam-3199	165	10	t(b2+b2t+b1	t(b2+b2t+b1	PROPN
ejpam-3199	165	11	t	t	PROPN
ejpam-3199	165	12	)	)	PUNCT
ejpam-3199	165	13	b1(1+t	b1(1+t	PROPN
ejpam-3199	165	14	)	)	PUNCT
ejpam-3199	166	1	+	+	NUM
ejpam-3199	166	2	b3	b3	NOUN
ejpam-3199	166	3	b1	b1	NOUN
ejpam-3199	166	4	.	.	PUNCT
ejpam-3199	167	1	thus	thus	ADV
ejpam-3199	167	2	,	,	PUNCT
ejpam-3199	167	3	−(1	−(1	NOUN
ejpam-3199	167	4	+	+	CCONJ
ejpam-3199	167	5	t+	t+	PUNCT
ejpam-3199	167	6	t2	t2	NOUN
ejpam-3199	167	7	)	)	PUNCT
ejpam-3199	167	8	b3b1	b3b1	ADP
ejpam-3199	167	9	=	=	PROPN
ejpam-3199	167	10	t(b2+b2t+b1	t(b2+b2t+b1	PROPN
ejpam-3199	167	11	t	t	PROPN
ejpam-3199	167	12	)	)	PUNCT
ejpam-3199	167	13	b1	b1	NOUN
ejpam-3199	167	14	.	.	PUNCT
ejpam-3199	168	1	(	(	PUNCT
ejpam-3199	168	2	5.4	5.4	NUM
ejpam-3199	168	3	)	)	PUNCT
ejpam-3199	168	4	(	(	PUNCT
ejpam-3199	168	5	xi	xi	NOUN
ejpam-3199	168	6	)	)	PUNCT
ejpam-3199	168	7	ψ′λσ3(e2	ψ′λσ3(e2	PROPN
ejpam-3199	168	8	+	+	CCONJ
ejpam-3199	168	9	b3	b3	PROPN
ejpam-3199	168	10	b1	b1	NOUN
ejpam-3199	168	11	e3	e3	NOUN
ejpam-3199	168	12	)	)	PUNCT
ejpam-3199	168	13	=	=	SYM
ejpam-3199	168	14	e2	e2	PROPN
ejpam-3199	168	15	+	+	CCONJ
ejpam-3199	168	16	b3	b3	PROPN
ejpam-3199	168	17	b1	b1	NOUN
ejpam-3199	168	18	e3	e3	NOUN
ejpam-3199	168	19	∈	∈	PROPN
ejpam-3199	168	20	s.	s.	PROPN
ejpam-3199	168	21	(	(	PUNCT
ejpam-3199	168	22	xii	xii	PROPN
ejpam-3199	168	23	)	)	PUNCT
ejpam-3199	168	24	ψ′λδ(e2	ψ′λδ(e2	PROPN
ejpam-3199	169	1	+	+	NUM
ejpam-3199	169	2	b3	b3	PROPN
ejpam-3199	169	3	b1	b1	NOUN
ejpam-3199	169	4	e3	e3	NOUN
ejpam-3199	169	5	)	)	PUNCT
ejpam-3199	170	1	=	=	SYM
ejpam-3199	170	2			NOUN
ejpam-3199	170	3	0	0	NUM
ejpam-3199	170	4	1	1	NUM
ejpam-3199	170	5	+	+	NUM
ejpam-3199	170	6	d2	d2	PROPN
ejpam-3199	170	7	1+t	1+t	NUM
ejpam-3199	170	8	+	+	NUM
ejpam-3199	170	9	b3	b3	PROPN
ejpam-3199	170	10	1+t	1+t	NUM
ejpam-3199	170	11	d2	d2	PROPN
ejpam-3199	170	12	b1	b1	NOUN
ejpam-3199	170	13	(	(	PUNCT
ejpam-3199	170	14	λ1b1	λ1b1	X
ejpam-3199	170	15	+	+	PUNCT
ejpam-3199	170	16	λ2b2	λ2b2	X
ejpam-3199	170	17	+	+	CCONJ
ejpam-3199	170	18	λ3b3	λ3b3	X
ejpam-3199	170	19	+	+	X
ejpam-3199	170	20	b1	b1	PROPN
ejpam-3199	170	21	t	t	NOUN
ejpam-3199	170	22	1+t	1+t	NUM
ejpam-3199	170	23	)	)	PUNCT
ejpam-3199	170	24	+	+	NUM
ejpam-3199	170	25	b3	b3	PROPN
ejpam-3199	170	26	b1	b1	NOUN
ejpam-3199	170	27	(	(	PUNCT
ejpam-3199	170	28	1	1	NUM
ejpam-3199	170	29	+	+	CCONJ
ejpam-3199	170	30	λ1b1	λ1b1	X
ejpam-3199	171	1	+	+	CCONJ
ejpam-3199	171	2	λ2b2	λ2b2	X
ejpam-3199	171	3	+	+	CCONJ
ejpam-3199	171	4	λ3b3	λ3b3	X
ejpam-3199	171	5	+	+	X
ejpam-3199	171	6	b1	b1	PROPN
ejpam-3199	171	7	t	t	PROPN
ejpam-3199	171	8	1+t	1+t	NUM
ejpam-3199	171	9	)	)	PUNCT
ejpam-3199	171	10	−d2	−d2	PROPN
ejpam-3199	171	11	1+t	1+t	NUM
ejpam-3199	171	12	−	−	PROPN
ejpam-3199	171	13	b3	b3	PROPN
ejpam-3199	171	14	1+t	1+t	NUM
ejpam-3199	171	15			NOUN
ejpam-3199	171	16	=	=	SYM
ejpam-3199	171	17	ae1	ae1	PROPN
ejpam-3199	171	18	+	+	NUM
ejpam-3199	171	19	be4	be4	NOUN
ejpam-3199	171	20	+	+	CCONJ
ejpam-3199	171	21	c(e2	c(e2	NOUN
ejpam-3199	171	22	+	+	CCONJ
ejpam-3199	171	23	b3	b3	PROPN
ejpam-3199	171	24	b1	b1	NOUN
ejpam-3199	171	25	e3	e3	NOUN
ejpam-3199	171	26	)	)	PUNCT
ejpam-3199	171	27	.	.	PUNCT
ejpam-3199	172	1	m.	m.	PROPN
ejpam-3199	172	2	dally	dally	ADV
ejpam-3199	172	3	,	,	PUNCT
ejpam-3199	172	4	m.	m.	NOUN
ejpam-3199	172	5	abdulrahim	abdulrahim	PROPN
ejpam-3199	172	6	/	/	SYM
ejpam-3199	172	7	eur	eur	PROPN
ejpam-3199	172	8	.	.	PUNCT
ejpam-3199	173	1	j.	j.	PROPN
ejpam-3199	173	2	pure	pure	PROPN
ejpam-3199	173	3	appl	appl	PROPN
ejpam-3199	173	4	.	.	PROPN
ejpam-3199	173	5	math	math	PROPN
ejpam-3199	173	6	,	,	PUNCT
ejpam-3199	173	7	11	11	NUM
ejpam-3199	173	8	(	(	PUNCT
ejpam-3199	173	9	1	1	NUM
ejpam-3199	173	10	)	)	PUNCT
ejpam-3199	173	11	(	(	PUNCT
ejpam-3199	173	12	2018	2018	NUM
ejpam-3199	173	13	)	)	PUNCT
ejpam-3199	173	14	,	,	PUNCT
ejpam-3199	173	15	215	215	NUM
ejpam-3199	173	16	-	-	SYM
ejpam-3199	173	17	237	237	NUM
ejpam-3199	173	18	226	226	NUM
ejpam-3199	173	19	here	here	ADV
ejpam-3199	173	20	,	,	PUNCT
ejpam-3199	173	21	we	we	PRON
ejpam-3199	173	22	have	have	VERB
ejpam-3199	173	23	a	a	DET
ejpam-3199	173	24	=	=	SYM
ejpam-3199	173	25	0	0	NUM
ejpam-3199	173	26	,	,	PUNCT
ejpam-3199	173	27	b	b	X
ejpam-3199	174	1	=	=	SYM
ejpam-3199	174	2	−d2	−d2	NOUN
ejpam-3199	174	3	1+t	1+t	NUM
ejpam-3199	174	4	−	−	PROPN
ejpam-3199	174	5	b3	b3	PROPN
ejpam-3199	174	6	1+t	1+t	NUM
ejpam-3199	174	7	,	,	PUNCT
ejpam-3199	174	8	c	c	NOUN
ejpam-3199	174	9	=	=	SYM
ejpam-3199	174	10	1	1	NUM
ejpam-3199	174	11	+	+	NUM
ejpam-3199	174	12	d2	d2	PROPN
ejpam-3199	174	13	1+t	1+t	NUM
ejpam-3199	174	14	+	+	NUM
ejpam-3199	174	15	b3	b3	PROPN
ejpam-3199	174	16	1+t	1+t	NUM
ejpam-3199	174	17	,	,	PUNCT
ejpam-3199	174	18	and	and	CCONJ
ejpam-3199	174	19	c	c	NOUN
ejpam-3199	174	20	b3b1	b3b1	X
ejpam-3199	174	21	=	=	SYM
ejpam-3199	174	22	d2	d2	PROPN
ejpam-3199	174	23	b1	b1	NOUN
ejpam-3199	174	24	(	(	PUNCT
ejpam-3199	174	25	λ1b1	λ1b1	X
ejpam-3199	174	26	+	+	PUNCT
ejpam-3199	174	27	λ2b2	λ2b2	X
ejpam-3199	174	28	+	+	CCONJ
ejpam-3199	174	29	λ3b3	λ3b3	X
ejpam-3199	174	30	+	+	X
ejpam-3199	174	31	b1	b1	PROPN
ejpam-3199	174	32	t	t	NOUN
ejpam-3199	174	33	1+t	1+t	NUM
ejpam-3199	174	34	)	)	PUNCT
ejpam-3199	174	35	+	+	NUM
ejpam-3199	174	36	b3	b3	PROPN
ejpam-3199	174	37	b1	b1	NOUN
ejpam-3199	174	38	(	(	PUNCT
ejpam-3199	174	39	1	1	NUM
ejpam-3199	174	40	+	+	CCONJ
ejpam-3199	174	41	λ1b1	λ1b1	X
ejpam-3199	175	1	+	+	CCONJ
ejpam-3199	175	2	λ2b2	λ2b2	X
ejpam-3199	175	3	+	+	CCONJ
ejpam-3199	175	4	λ3b3	λ3b3	X
ejpam-3199	175	5	+	+	X
ejpam-3199	175	6	b1	b1	PROPN
ejpam-3199	175	7	t	t	NOUN
ejpam-3199	175	8	1+t	1+t	NUM
ejpam-3199	175	9	)	)	PUNCT
ejpam-3199	175	10	.	.	PUNCT
ejpam-3199	176	1	thus	thus	ADV
ejpam-3199	176	2	,	,	PUNCT
ejpam-3199	176	3	(	(	PUNCT
ejpam-3199	176	4	1	1	NUM
ejpam-3199	176	5	+	+	NUM
ejpam-3199	176	6	d2	d2	PROPN
ejpam-3199	176	7	1+t+	1+t+	NUM
ejpam-3199	176	8	b3	b3	PROPN
ejpam-3199	176	9	1+t	1+t	NUM
ejpam-3199	176	10	)	)	PUNCT
ejpam-3199	176	11	b3	b3	PROPN
ejpam-3199	176	12	b1	b1	NOUN
ejpam-3199	176	13	=	=	SYM
ejpam-3199	176	14	d2	d2	PROPN
ejpam-3199	176	15	b1	b1	NOUN
ejpam-3199	176	16	(	(	PUNCT
ejpam-3199	176	17	λ1b1+λ2b2+λ3b3	λ1b1+λ2b2+λ3b3	X
ejpam-3199	176	18	+	+	X
ejpam-3199	176	19	b1	b1	NOUN
ejpam-3199	176	20	t	t	PROPN
ejpam-3199	176	21	1+t)+	1+t)+	NUM
ejpam-3199	176	22	b3	b3	PROPN
ejpam-3199	176	23	b1	b1	NOUN
ejpam-3199	176	24	(	(	PUNCT
ejpam-3199	176	25	1+λ1b1+λ2b2+λ3b3	1+λ1b1+λ2b2+λ3b3	NUM
ejpam-3199	176	26	+	+	SYM
ejpam-3199	176	27	b1	b1	PROPN
ejpam-3199	176	28	t	t	NOUN
ejpam-3199	176	29	1+t	1+t	NUM
ejpam-3199	176	30	)	)	PUNCT
ejpam-3199	176	31	.	.	PUNCT
ejpam-3199	177	1	(	(	PUNCT
ejpam-3199	177	2	5.5	5.5	NUM
ejpam-3199	177	3	)	)	PUNCT
ejpam-3199	177	4	by	by	ADP
ejpam-3199	177	5	simple	simple	ADJ
ejpam-3199	177	6	computations	computation	NOUN
ejpam-3199	177	7	,	,	PUNCT
ejpam-3199	177	8	we	we	PRON
ejpam-3199	177	9	can	can	AUX
ejpam-3199	177	10	verify	verify	VERB
ejpam-3199	177	11	that	that	DET
ejpam-3199	177	12	equations	equation	NOUN
ejpam-3199	177	13	(	(	PUNCT
ejpam-3199	177	14	5.1	5.1	NUM
ejpam-3199	177	15	)	)	PUNCT
ejpam-3199	177	16	,	,	PUNCT
ejpam-3199	177	17	(	(	PUNCT
ejpam-3199	177	18	5.2	5.2	NUM
ejpam-3199	177	19	)	)	PUNCT
ejpam-3199	177	20	,	,	PUNCT
ejpam-3199	177	21	(	(	PUNCT
ejpam-3199	177	22	5.3	5.3	NUM
ejpam-3199	177	23	)	)	PUNCT
ejpam-3199	177	24	,	,	PUNCT
ejpam-3199	177	25	and	and	CCONJ
ejpam-3199	177	26	(	(	PUNCT
ejpam-3199	177	27	5.5	5.5	NUM
ejpam-3199	177	28	)	)	PUNCT
ejpam-3199	177	29	are	be	AUX
ejpam-3199	177	30	clearly	clearly	ADV
ejpam-3199	177	31	satisfied	satisfied	ADJ
ejpam-3199	177	32	without	without	ADP
ejpam-3199	177	33	any	any	DET
ejpam-3199	177	34	assumption	assumption	NOUN
ejpam-3199	177	35	of	of	ADP
ejpam-3199	177	36	the	the	DET
ejpam-3199	177	37	indeterminates	indeterminate	NOUN
ejpam-3199	177	38	whereas	whereas	SCONJ
ejpam-3199	177	39	equation	equation	NOUN
ejpam-3199	177	40	(	(	PUNCT
ejpam-3199	177	41	5.4	5.4	NUM
ejpam-3199	177	42	)	)	PUNCT
ejpam-3199	177	43	is	be	AUX
ejpam-3199	177	44	satisfied	satisfied	ADJ
ejpam-3199	177	45	only	only	ADV
ejpam-3199	177	46	if	if	SCONJ
ejpam-3199	177	47	t4	t4	PROPN
ejpam-3199	177	48	+	+	PROPN
ejpam-3199	177	49	t3	t3	PROPN
ejpam-3199	177	50	+	+	CCONJ
ejpam-3199	177	51	t2	t2	NOUN
ejpam-3199	177	52	+	+	CCONJ
ejpam-3199	177	53	t+	t+	NOUN
ejpam-3199	177	54	1	1	NUM
ejpam-3199	177	55	=	=	SYM
ejpam-3199	177	56	0	0	NUM
ejpam-3199	177	57	.	.	PUNCT
ejpam-3199	178	1	lemma	lemma	PROPN
ejpam-3199	178	2	3	3	X
ejpam-3199	178	3	.	.	PUNCT
ejpam-3199	179	1	any	any	DET
ejpam-3199	179	2	proper	proper	ADJ
ejpam-3199	179	3	subspace	subspace	NOUN
ejpam-3199	179	4	s	s	AUX
ejpam-3199	179	5	containing	contain	VERB
ejpam-3199	179	6	the	the	DET
ejpam-3199	179	7	vector	vector	NOUN
ejpam-3199	179	8	ei	ei	X
ejpam-3199	179	9	+	+	CCONJ
ejpam-3199	179	10	uej	uej	ADJ
ejpam-3199	179	11	+	+	CCONJ
ejpam-3199	179	12	vek	vek	PROPN
ejpam-3199	179	13	,	,	PUNCT
ejpam-3199	179	14	where	where	SCONJ
ejpam-3199	179	15	i	i	PROPN
ejpam-3199	179	16	,	,	PUNCT
ejpam-3199	179	17	j	j	PROPN
ejpam-3199	179	18	,	,	PUNCT
ejpam-3199	179	19	k	k	PROPN
ejpam-3199	179	20	∈	∈	PROPN
ejpam-3199	179	21	{	{	PUNCT
ejpam-3199	179	22	1	1	NUM
ejpam-3199	179	23	,	,	PUNCT
ejpam-3199	179	24	2	2	NUM
ejpam-3199	179	25	,	,	PUNCT
ejpam-3199	179	26	3	3	NUM
ejpam-3199	179	27	,	,	PUNCT
ejpam-3199	179	28	4	4	NUM
ejpam-3199	179	29	}	}	PUNCT
ejpam-3199	179	30	,	,	PUNCT
ejpam-3199	179	31	except	except	SCONJ
ejpam-3199	179	32	possibly	possibly	ADV
ejpam-3199	179	33	the	the	DET
ejpam-3199	179	34	subspace	subspace	NOUN
ejpam-3199	179	35	having	have	VERB
ejpam-3199	179	36	the	the	DET
ejpam-3199	179	37	form	form	NOUN
ejpam-3199	179	38	〈	〈	PROPN
ejpam-3199	179	39	e1	e1	PROPN
ejpam-3199	179	40	,	,	PUNCT
ejpam-3199	179	41	e4	e4	PROPN
ejpam-3199	179	42	,	,	PUNCT
ejpam-3199	179	43	e2	e2	PROPN
ejpam-3199	179	44	+	+	CCONJ
ejpam-3199	179	45	b3	b3	PROPN
ejpam-3199	179	46	b1	b1	NOUN
ejpam-3199	179	47	e3	e3	NOUN
ejpam-3199	179	48	〉	〉	NOUN
ejpam-3199	179	49	,	,	PUNCT
ejpam-3199	179	50	is	be	AUX
ejpam-3199	179	51	not	not	PART
ejpam-3199	179	52	invariant	invariant	ADJ
ejpam-3199	179	53	.	.	PUNCT
ejpam-3199	180	1	proof	proof	NOUN
ejpam-3199	180	2	.	.	PUNCT
ejpam-3199	181	1	we	we	PRON
ejpam-3199	181	2	consider	consider	VERB
ejpam-3199	181	3	all	all	DET
ejpam-3199	181	4	the	the	DET
ejpam-3199	181	5	subspaces	subspace	NOUN
ejpam-3199	181	6	containing	contain	VERB
ejpam-3199	181	7	the	the	DET
ejpam-3199	181	8	vector	vector	NOUN
ejpam-3199	181	9	ei	ei	X
ejpam-3199	181	10	+	+	CCONJ
ejpam-3199	181	11	uej	uej	ADJ
ejpam-3199	181	12	+	+	CCONJ
ejpam-3199	181	13	vek	vek	PROPN
ejpam-3199	181	14	,	,	PUNCT
ejpam-3199	181	15	where	where	SCONJ
ejpam-3199	181	16	i	i	PROPN
ejpam-3199	181	17	,	,	PUNCT
ejpam-3199	181	18	j	j	PROPN
ejpam-3199	181	19	,	,	PUNCT
ejpam-3199	181	20	k	k	PROPN
ejpam-3199	181	21	∈	∈	PROPN
ejpam-3199	181	22	{	{	PUNCT
ejpam-3199	181	23	1	1	NUM
ejpam-3199	181	24	,	,	PUNCT
ejpam-3199	181	25	2	2	NUM
ejpam-3199	181	26	,	,	PUNCT
ejpam-3199	181	27	3	3	NUM
ejpam-3199	181	28	,	,	PUNCT
ejpam-3199	181	29	4	4	NUM
ejpam-3199	181	30	}	}	PUNCT
ejpam-3199	181	31	except	except	SCONJ
ejpam-3199	181	32	possibly	possibly	ADV
ejpam-3199	181	33	the	the	DET
ejpam-3199	181	34	subspace	subspace	NOUN
ejpam-3199	181	35	of	of	ADP
ejpam-3199	181	36	the	the	DET
ejpam-3199	181	37	form	form	NOUN
ejpam-3199	181	38	〈	〈	PROPN
ejpam-3199	181	39	e1	e1	PROPN
ejpam-3199	181	40	,	,	PUNCT
ejpam-3199	181	41	e4	e4	PROPN
ejpam-3199	181	42	,	,	PUNCT
ejpam-3199	181	43	e2	e2	PROPN
ejpam-3199	181	44	+	+	CCONJ
ejpam-3199	181	45	b3	b3	PROPN
ejpam-3199	181	46	b1	b1	NOUN
ejpam-3199	181	47	e3	e3	NOUN
ejpam-3199	181	48	〉	〉	NOUN
ejpam-3199	181	49	.	.	PUNCT
ejpam-3199	182	1	we	we	PRON
ejpam-3199	182	2	then	then	ADV
ejpam-3199	182	3	assume	assume	VERB
ejpam-3199	182	4	,	,	PUNCT
ejpam-3199	182	5	for	for	ADP
ejpam-3199	182	6	contradiction	contradiction	NOUN
ejpam-3199	182	7	,	,	PUNCT
ejpam-3199	182	8	that	that	SCONJ
ejpam-3199	182	9	each	each	DET
ejpam-3199	182	10	considered	consider	VERB
ejpam-3199	182	11	subspace	subspace	NOUN
ejpam-3199	182	12	is	be	AUX
ejpam-3199	182	13	invariant	invariant	ADJ
ejpam-3199	182	14	.	.	PUNCT
ejpam-3199	183	1	in	in	ADP
ejpam-3199	183	2	each	each	DET
ejpam-3199	183	3	case	case	NOUN
ejpam-3199	183	4	,	,	PUNCT
ejpam-3199	183	5	simple	simple	ADJ
ejpam-3199	183	6	computations	computation	NOUN
ejpam-3199	183	7	give	give	VERB
ejpam-3199	183	8	a	a	DET
ejpam-3199	183	9	contradiction	contradiction	NOUN
ejpam-3199	183	10	.	.	PUNCT
ejpam-3199	184	1	thus	thus	ADV
ejpam-3199	184	2	,	,	PUNCT
ejpam-3199	184	3	we	we	PRON
ejpam-3199	184	4	have	have	AUX
ejpam-3199	184	5	determined	determine	VERB
ejpam-3199	184	6	a	a	DET
ejpam-3199	184	7	necessary	necessary	ADJ
ejpam-3199	184	8	and	and	CCONJ
ejpam-3199	184	9	sufficient	sufficient	ADJ
ejpam-3199	184	10	condition	condition	NOUN
ejpam-3199	184	11	for	for	ADP
ejpam-3199	184	12	irreducibility	irreducibility	NOUN
ejpam-3199	184	13	.	.	PUNCT
ejpam-3199	185	1	theorem	theorem	NOUN
ejpam-3199	185	2	1	1	NUM
ejpam-3199	185	3	.	.	PUNCT
ejpam-3199	186	1	assume	assume	VERB
ejpam-3199	186	2	all	all	DET
ejpam-3199	186	3	the	the	DET
ejpam-3199	186	4	indeterminates	indeterminate	NOUN
ejpam-3199	186	5	used	use	VERB
ejpam-3199	186	6	in	in	ADP
ejpam-3199	186	7	defining	define	VERB
ejpam-3199	186	8	perron	perron	PROPN
ejpam-3199	186	9	representation	representation	NOUN
ejpam-3199	186	10	of	of	ADP
ejpam-3199	186	11	degree	degree	NOUN
ejpam-3199	186	12	4	4	NUM
ejpam-3199	186	13	are	be	AUX
ejpam-3199	186	14	non	non	ADJ
ejpam-3199	186	15	zero	zero	NUM
ejpam-3199	186	16	complex	complex	ADJ
ejpam-3199	186	17	numbers	number	NOUN
ejpam-3199	186	18	.	.	PUNCT
ejpam-3199	187	1	let	let	VERB
ejpam-3199	187	2	d3	d3	PROPN
ejpam-3199	187	3	=	=	PUNCT
ejpam-3199	187	4	−t(1+t+t2	−t(1+t+t2	NOUN
ejpam-3199	187	5	)	)	PUNCT
ejpam-3199	187	6	1+t	1+t	NUM
ejpam-3199	187	7	and	and	CCONJ
ejpam-3199	187	8	t	t	PROPN
ejpam-3199	187	9	6=	6=	SYM
ejpam-3199	187	10	−1	−1	NOUN
ejpam-3199	187	11	.	.	PUNCT
ejpam-3199	188	1	the	the	DET
ejpam-3199	188	2	representation	representation	NOUN
ejpam-3199	188	3	ψ′λ	ψ′λ	PROPN
ejpam-3199	188	4	:	:	PUNCT
ejpam-3199	188	5	a(e4,1)→	a(e4,1)→	NOUN
ejpam-3199	188	6	gl4(c	gl4(c	NOUN
ejpam-3199	188	7	)	)	PUNCT
ejpam-3199	188	8	is	be	AUX
ejpam-3199	188	9	irreducible	irreducible	ADJ
ejpam-3199	188	10	if	if	SCONJ
ejpam-3199	188	11	and	and	CCONJ
ejpam-3199	188	12	only	only	ADV
ejpam-3199	188	13	if	if	SCONJ
ejpam-3199	188	14	t4	t4	PROPN
ejpam-3199	188	15	+	+	PROPN
ejpam-3199	188	16	t3	t3	PROPN
ejpam-3199	188	17	+	+	CCONJ
ejpam-3199	188	18	t2	t2	NOUN
ejpam-3199	188	19	+	+	CCONJ
ejpam-3199	188	20	t+	t+	NOUN
ejpam-3199	188	21	1	1	NUM
ejpam-3199	188	22	6=	6=	ADP
ejpam-3199	188	23	0	0	NUM
ejpam-3199	188	24	.	.	PUNCT
ejpam-3199	189	1	in	in	ADP
ejpam-3199	189	2	the	the	DET
ejpam-3199	189	3	following	follow	VERB
ejpam-3199	189	4	sections	section	NOUN
ejpam-3199	189	5	,	,	PUNCT
ejpam-3199	189	6	we	we	PRON
ejpam-3199	189	7	set	set	VERB
ejpam-3199	189	8	n	n	NOUN
ejpam-3199	189	9	=	=	SYM
ejpam-3199	189	10	4	4	NUM
ejpam-3199	189	11	and	and	CCONJ
ejpam-3199	189	12	p	p	NOUN
ejpam-3199	189	13	=	=	NOUN
ejpam-3199	189	14	1	1	NUM
ejpam-3199	190	1	and	and	CCONJ
ejpam-3199	190	2	we	we	PRON
ejpam-3199	190	3	study	study	VERB
ejpam-3199	190	4	the	the	DET
ejpam-3199	190	5	irreducibility	irreducibility	NOUN
ejpam-3199	190	6	of	of	ADP
ejpam-3199	190	7	the	the	DET
ejpam-3199	190	8	reduced	reduce	VERB
ejpam-3199	190	9	representation	representation	NOUN
ejpam-3199	190	10	of	of	ADP
ejpam-3199	190	11	ψλ	ψλ	ADP
ejpam-3199	190	12	:	:	PUNCT
ejpam-3199	190	13	a(e5,1)→	a(e5,1)→	NUM
ejpam-3199	190	14	gl8(c	gl8(c	NOUN
ejpam-3199	190	15	)	)	PUNCT
ejpam-3199	190	16	.	.	PUNCT
ejpam-3199	191	1	indeed	indeed	ADV
ejpam-3199	191	2	,	,	PUNCT
ejpam-3199	191	3	we	we	PRON
ejpam-3199	191	4	obtain	obtain	VERB
ejpam-3199	191	5	a	a	DET
ejpam-3199	191	6	sufficient	sufficient	ADJ
ejpam-3199	191	7	and	and	CCONJ
ejpam-3199	191	8	necessary	necessary	ADJ
ejpam-3199	191	9	condition	condition	NOUN
ejpam-3199	191	10	that	that	PRON
ejpam-3199	191	11	gauarantees	gauarantee	VERB
ejpam-3199	191	12	the	the	DET
ejpam-3199	191	13	irreducibility	irreducibility	NOUN
ejpam-3199	191	14	of	of	ADP
ejpam-3199	191	15	ψ′λ	ψ′λ	PROPN
ejpam-3199	191	16	:	:	PUNCT
ejpam-3199	191	17	a(e5,1)→	a(e5,1)→	NOUN
ejpam-3199	191	18	gl5(c	gl5(c	PROPN
ejpam-3199	191	19	)	)	PUNCT
ejpam-3199	191	20	.	.	PUNCT
ejpam-3199	192	1	6	6	X
ejpam-3199	192	2	.	.	X
ejpam-3199	192	3	reducibility	reducibility	NOUN
ejpam-3199	192	4	of	of	ADP
ejpam-3199	192	5	ψλ	ψλ	ADP
ejpam-3199	192	6	:	:	PUNCT
ejpam-3199	192	7	a(e5,1	a(e5,1	X
ejpam-3199	192	8	)	)	PUNCT
ejpam-3199	192	9	→	→	SYM
ejpam-3199	192	10	gl8(c	gl8(c	NOUN
ejpam-3199	192	11	)	)	PUNCT
ejpam-3199	192	12	having	having	AUX
ejpam-3199	192	13	defined	define	VERB
ejpam-3199	192	14	perron	perron	PROPN
ejpam-3199	192	15	’s	’s	PART
ejpam-3199	192	16	representation	representation	NOUN
ejpam-3199	192	17	,	,	PUNCT
ejpam-3199	192	18	we	we	PRON
ejpam-3199	192	19	set	set	VERB
ejpam-3199	192	20	n	n	NOUN
ejpam-3199	192	21	=	=	SYM
ejpam-3199	192	22	4	4	NUM
ejpam-3199	192	23	and	and	CCONJ
ejpam-3199	192	24	p	p	NOUN
ejpam-3199	192	25	=	=	NOUN
ejpam-3199	192	26	1	1	NUM
ejpam-3199	192	27	to	to	PART
ejpam-3199	192	28	get	get	VERB
ejpam-3199	192	29	the	the	DET
ejpam-3199	192	30	following	follow	VERB
ejpam-3199	192	31	vectors	vector	NOUN
ejpam-3199	192	32	.	.	PUNCT
ejpam-3199	193	1	b	b	X
ejpam-3199	193	2	=	=	SYM
ejpam-3199	193	3			PROPN
ejpam-3199	193	4	b1	b1	NOUN
ejpam-3199	193	5	b2	b2	NOUN
ejpam-3199	193	6	b3	b3	PROPN
ejpam-3199	193	7	b4	b4	NOUN
ejpam-3199	193	8			NOUN
ejpam-3199	193	9	,	,	PUNCT
ejpam-3199	193	10	d	d	X
ejpam-3199	193	11	=	=	SYM
ejpam-3199	193	12			PROPN
ejpam-3199	193	13	d1	d1	PROPN
ejpam-3199	193	14	d2	d2	PROPN
ejpam-3199	193	15	d3	d3	PROPN
ejpam-3199	193	16	d4	d4	PROPN
ejpam-3199	193	17			NOUN
ejpam-3199	193	18	,	,	PUNCT
ejpam-3199	193	19	and	and	CCONJ
ejpam-3199	193	20	λ	λ	X
ejpam-3199	193	21	=	=	SYM
ejpam-3199	193	22	(	(	PUNCT
ejpam-3199	193	23	λ1	λ1	ADJ
ejpam-3199	193	24	,	,	PUNCT
ejpam-3199	193	25	λ2	λ2	PROPN
ejpam-3199	193	26	,	,	PUNCT
ejpam-3199	193	27	λ3	λ3	PROPN
ejpam-3199	193	28	,	,	PUNCT
ejpam-3199	193	29	λ4	λ4	PROPN
ejpam-3199	193	30	)	)	PUNCT
ejpam-3199	193	31	.	.	PUNCT
ejpam-3199	194	1	m.	m.	PROPN
ejpam-3199	194	2	dally	dally	ADV
ejpam-3199	194	3	,	,	PUNCT
ejpam-3199	194	4	m.	m.	NOUN
ejpam-3199	194	5	abdulrahim	abdulrahim	PROPN
ejpam-3199	194	6	/	/	SYM
ejpam-3199	194	7	eur	eur	PROPN
ejpam-3199	194	8	.	.	PUNCT
ejpam-3199	195	1	j.	j.	PROPN
ejpam-3199	195	2	pure	pure	PROPN
ejpam-3199	195	3	appl	appl	PROPN
ejpam-3199	195	4	.	.	PROPN
ejpam-3199	195	5	math	math	PROPN
ejpam-3199	195	6	,	,	PUNCT
ejpam-3199	195	7	11	11	NUM
ejpam-3199	195	8	(	(	PUNCT
ejpam-3199	195	9	1	1	NUM
ejpam-3199	195	10	)	)	PUNCT
ejpam-3199	195	11	(	(	PUNCT
ejpam-3199	195	12	2018	2018	NUM
ejpam-3199	195	13	)	)	PUNCT
ejpam-3199	195	14	,	,	PUNCT
ejpam-3199	195	15	215	215	NUM
ejpam-3199	195	16	-	-	SYM
ejpam-3199	195	17	237	237	NUM
ejpam-3199	195	18	227	227	NUM
ejpam-3199	195	19	after	after	SCONJ
ejpam-3199	195	20	we	we	PRON
ejpam-3199	195	21	specialize	specialize	VERB
ejpam-3199	195	22	the	the	DET
ejpam-3199	195	23	indeterminates	indeterminate	NOUN
ejpam-3199	195	24	d2	d2	PROPN
ejpam-3199	195	25	and	and	CCONJ
ejpam-3199	195	26	d3	d3	PROPN
ejpam-3199	195	27	to	to	ADP
ejpam-3199	195	28	−(1	−(1	NOUN
ejpam-3199	195	29	+	+	CCONJ
ejpam-3199	195	30	t+	t+	PUNCT
ejpam-3199	195	31	t2	t2	NOUN
ejpam-3199	195	32	)	)	PUNCT
ejpam-3199	195	33	and	and	CCONJ
ejpam-3199	195	34	−t(1	−t(1	NOUN
ejpam-3199	195	35	+	+	CCONJ
ejpam-3199	195	36	t	t	NOUN
ejpam-3199	195	37	)	)	PUNCT
ejpam-3199	195	38	respectively	respectively	ADV
ejpam-3199	195	39	,	,	PUNCT
ejpam-3199	195	40	we	we	PRON
ejpam-3199	195	41	get	get	VERB
ejpam-3199	195	42	the	the	DET
ejpam-3199	195	43	following	follow	VERB
ejpam-3199	195	44	4×	4×	NOUN
ejpam-3199	195	45	4	4	NUM
ejpam-3199	195	46	matrices	matrix	NOUN
ejpam-3199	195	47	:	:	PUNCT
ejpam-3199	195	48	a	a	DET
ejpam-3199	195	49	=	=	X
ejpam-3199	195	50			ADJ
ejpam-3199	195	51	λ1b1	λ1b1	PUNCT
ejpam-3199	195	52	λ2b1	λ2b1	PUNCT
ejpam-3199	195	53	λ3b1	λ3b1	X
ejpam-3199	195	54	λ4b1	λ4b1	X
ejpam-3199	195	55	λ1b2	λ1b2	X
ejpam-3199	195	56	λ2b2	λ2b2	X
ejpam-3199	195	57	λ3b2	λ3b2	X
ejpam-3199	195	58	λ4b2	λ4b2	X
ejpam-3199	195	59	λ1b3	λ1b3	X
ejpam-3199	195	60	λ2b3	λ2b3	X
ejpam-3199	195	61	λ3b3	λ3b3	X
ejpam-3199	195	62	λ4b3	λ4b3	X
ejpam-3199	195	63	λ1b4	λ1b4	X
ejpam-3199	195	64	λ2b4	λ2b4	X
ejpam-3199	195	65	λ3b4	λ3b4	PUNCT
ejpam-3199	195	66	λ4b4	λ4b4	NOUN
ejpam-3199	195	67			NOUN
ejpam-3199	195	68	,	,	PUNCT
ejpam-3199	195	69	b	b	X
ejpam-3199	195	70	=	=	SYM
ejpam-3199	195	71			PROPN
ejpam-3199	195	72	b1	b1	NOUN
ejpam-3199	195	73	0	0	NUM
ejpam-3199	195	74	0	0	NUM
ejpam-3199	195	75	0	0	NUM
ejpam-3199	196	1	b2	b2	NOUN
ejpam-3199	196	2	0	0	NUM
ejpam-3199	196	3	0	0	SYM
ejpam-3199	196	4	0	0	NUM
ejpam-3199	196	5	b3	b3	PROPN
ejpam-3199	196	6	0	0	NUM
ejpam-3199	196	7	0	0	SYM
ejpam-3199	196	8	0	0	NUM
ejpam-3199	196	9	b4	b4	NOUN
ejpam-3199	196	10	0	0	NUM
ejpam-3199	196	11	0	0	NUM
ejpam-3199	196	12	0	0	NUM
ejpam-3199	196	13			NOUN
ejpam-3199	196	14	,	,	PUNCT
ejpam-3199	196	15	c	c	X
ejpam-3199	196	16	=	=	SYM
ejpam-3199	196	17			PROPN
ejpam-3199	197	1	λ1d1	λ1d1	X
ejpam-3199	197	2	λ2d1	λ2d1	X
ejpam-3199	197	3	λ3d1	λ3d1	PROPN
ejpam-3199	197	4	λ4d1	λ4d1	X
ejpam-3199	197	5	−(1	−(1	NOUN
ejpam-3199	197	6	+	+	CCONJ
ejpam-3199	197	7	t+	t+	NOUN
ejpam-3199	197	8	t2)λ1	t2)λ1	VERB
ejpam-3199	197	9	−(1	−(1	NOUN
ejpam-3199	197	10	+	+	CCONJ
ejpam-3199	197	11	t+	t+	PUNCT
ejpam-3199	197	12	t2)λ2	t2)λ2	ADJ
ejpam-3199	197	13	−(1	−(1	NOUN
ejpam-3199	197	14	+	+	CCONJ
ejpam-3199	197	15	t+	t+	PUNCT
ejpam-3199	197	16	t2)λ3	t2)λ3	NOUN
ejpam-3199	197	17	−(1	−(1	PROPN
ejpam-3199	197	18	+	+	CCONJ
ejpam-3199	197	19	t+	t+	NOUN
ejpam-3199	197	20	t2)λ4	t2)λ4	VERB
ejpam-3199	197	21	−t(1	−t(1	NOUN
ejpam-3199	198	1	+	+	CCONJ
ejpam-3199	198	2	t)λ1	t)λ1	ADJ
ejpam-3199	198	3	−t(1	−t(1	PROPN
ejpam-3199	198	4	+	+	CCONJ
ejpam-3199	198	5	t)λ2	t)λ2	PROPN
ejpam-3199	198	6	−t(1	−t(1	NOUN
ejpam-3199	199	1	+	+	CCONJ
ejpam-3199	199	2	t)λ3	t)λ3	PROPN
ejpam-3199	199	3	−t(1	−t(1	PROPN
ejpam-3199	200	1	+	+	CCONJ
ejpam-3199	200	2	t)λ4	t)λ4	NOUN
ejpam-3199	200	3	λ1d4	λ1d4	X
ejpam-3199	200	4	λ2d4	λ2d4	NOUN
ejpam-3199	200	5	λ3d4	λ3d4	X
ejpam-3199	200	6	λ4d4	λ4d4	X
ejpam-3199	200	7			NOUN
ejpam-3199	200	8	,	,	PUNCT
ejpam-3199	200	9	and	and	CCONJ
ejpam-3199	200	10	d	d	X
ejpam-3199	200	11	=	=	SYM
ejpam-3199	200	12			PROPN
ejpam-3199	200	13	d1	d1	NOUN
ejpam-3199	200	14	0	0	NUM
ejpam-3199	200	15	0	0	NUM
ejpam-3199	200	16	0	0	NUM
ejpam-3199	200	17	−(1	−(1	NOUN
ejpam-3199	200	18	+	+	CCONJ
ejpam-3199	200	19	t+	t+	NOUN
ejpam-3199	200	20	t2	t2	NOUN
ejpam-3199	200	21	)	)	PUNCT
ejpam-3199	200	22	0	0	NUM
ejpam-3199	200	23	0	0	NUM
ejpam-3199	200	24	0	0	NUM
ejpam-3199	201	1	−t(1	−t(1	NOUN
ejpam-3199	201	2	+	+	CCONJ
ejpam-3199	201	3	t	t	X
ejpam-3199	201	4	)	)	PUNCT
ejpam-3199	201	5	0	0	NUM
ejpam-3199	201	6	0	0	SYM
ejpam-3199	201	7	0	0	NUM
ejpam-3199	201	8	d4	d4	PROPN
ejpam-3199	201	9	0	0	NUM
ejpam-3199	201	10	0	0	NUM
ejpam-3199	201	11	0	0	NUM
ejpam-3199	201	12			NOUN
ejpam-3199	201	13	.	.	PUNCT
ejpam-3199	202	1	simple	simple	ADJ
ejpam-3199	202	2	computations	computation	NOUN
ejpam-3199	202	3	show	show	VERB
ejpam-3199	202	4	that	that	SCONJ
ejpam-3199	202	5	the	the	DET
ejpam-3199	202	6	parameters	parameter	NOUN
ejpam-3199	202	7	satisfy	satisfy	VERB
ejpam-3199	202	8	the	the	DET
ejpam-3199	202	9	following	follow	VERB
ejpam-3199	202	10	equations	equation	NOUN
ejpam-3199	202	11	:	:	PUNCT
ejpam-3199	202	12	•	•	NUM
ejpam-3199	202	13	tb2	tb2	PROPN
ejpam-3199	202	14	=	=	NOUN
ejpam-3199	203	1	−td1	−td1	PRON
ejpam-3199	203	2	−	−	PROPN
ejpam-3199	204	1	(	(	PUNCT
ejpam-3199	204	2	1	1	NUM
ejpam-3199	204	3	+	+	NUM
ejpam-3199	204	4	t)(1	t)(1	X
ejpam-3199	205	1	+	+	CCONJ
ejpam-3199	205	2	t+	t+	PUNCT
ejpam-3199	205	3	t2	t2	NOUN
ejpam-3199	205	4	)	)	PUNCT
ejpam-3199	206	1	+	+	CCONJ
ejpam-3199	207	1	t(1	t(1	PROPN
ejpam-3199	207	2	+	+	CCONJ
ejpam-3199	207	3	t	t	PROPN
ejpam-3199	207	4	)	)	PUNCT
ejpam-3199	208	1	=	=	SYM
ejpam-3199	209	1	−td1	−td1	DET
ejpam-3199	209	2	−	−	PROPN
ejpam-3199	209	3	(	(	PUNCT
ejpam-3199	209	4	1	1	NUM
ejpam-3199	209	5	+	+	NUM
ejpam-3199	209	6	t)(1	t)(1	X
ejpam-3199	209	7	+	+	ADJ
ejpam-3199	209	8	t2	t2	NOUN
ejpam-3199	209	9	)	)	PUNCT
ejpam-3199	209	10	•	•	NUM
ejpam-3199	209	11	tb3	tb3	NOUN
ejpam-3199	209	12	=	=	PUNCT
ejpam-3199	209	13	t(1	t(1	NOUN
ejpam-3199	209	14	+	+	CCONJ
ejpam-3199	209	15	t+	t+	NUM
ejpam-3199	209	16	t2)−	t2)−	VERB
ejpam-3199	209	17	t(1	t(1	NOUN
ejpam-3199	209	18	+	+	CCONJ
ejpam-3199	209	19	t)2	t)2	NOUN
ejpam-3199	209	20	−	−	PROPN
ejpam-3199	209	21	d4	d4	PROPN
ejpam-3199	209	22	=	=	PUNCT
ejpam-3199	209	23	−t(2t2	−t(2t2	PROPN
ejpam-3199	209	24	+	+	CCONJ
ejpam-3199	209	25	3t+	3t+	NUM
ejpam-3199	209	26	2)−	2)−	NUM
ejpam-3199	209	27	d4	d4	PROPN
ejpam-3199	209	28	•	•	NOUN
ejpam-3199	209	29	tb4	tb4	PROPN
ejpam-3199	209	30	=	=	PUNCT
ejpam-3199	209	31	t2(1	t2(1	PROPN
ejpam-3199	209	32	+	+	NUM
ejpam-3199	209	33	t	t	NOUN
ejpam-3199	209	34	)	)	PUNCT
ejpam-3199	209	35	+	+	CCONJ
ejpam-3199	209	36	(	(	PUNCT
ejpam-3199	209	37	1	1	NUM
ejpam-3199	209	38	+	+	CCONJ
ejpam-3199	209	39	t)d4	t)d4	PROPN
ejpam-3199	209	40	•	•	NOUN
ejpam-3199	209	41	tb1	tb1	NOUN
ejpam-3199	209	42	=	=	SYM
ejpam-3199	209	43	(	(	PUNCT
ejpam-3199	209	44	1	1	NUM
ejpam-3199	209	45	+	+	X
ejpam-3199	209	46	t)d1	t)d1	NOUN
ejpam-3199	209	47	+	+	CCONJ
ejpam-3199	209	48	1	1	NUM
ejpam-3199	209	49	+	+	SYM
ejpam-3199	209	50	2t+	2t+	NUM
ejpam-3199	209	51	t2	t2	PROPN
ejpam-3199	209	52	•	•	NUM
ejpam-3199	209	53	λ1b1	λ1b1	PUNCT
ejpam-3199	210	1	+	+	PUNCT
ejpam-3199	210	2	λ2b2	λ2b2	X
ejpam-3199	210	3	+	+	CCONJ
ejpam-3199	210	4	λ3b3	λ3b3	PUNCT
ejpam-3199	210	5	+	+	NOUN
ejpam-3199	210	6	λ4b4	λ4b4	NOUN
ejpam-3199	210	7	=	=	SYM
ejpam-3199	210	8	−(1	−(1	NOUN
ejpam-3199	210	9	+	+	CCONJ
ejpam-3199	210	10	t+	t+	NOUN
ejpam-3199	210	11	d1	d1	NOUN
ejpam-3199	210	12	)	)	PUNCT
ejpam-3199	210	13	having	having	AUX
ejpam-3199	210	14	defined	define	VERB
ejpam-3199	210	15	the	the	DET
ejpam-3199	210	16	4	4	NUM
ejpam-3199	210	17	×	×	NOUN
ejpam-3199	210	18	4	4	NUM
ejpam-3199	210	19	matrices	matrix	NOUN
ejpam-3199	210	20	a	a	DET
ejpam-3199	210	21	,	,	PUNCT
ejpam-3199	210	22	b	b	NOUN
ejpam-3199	210	23	,	,	PUNCT
ejpam-3199	210	24	c	c	PROPN
ejpam-3199	210	25	and	and	CCONJ
ejpam-3199	210	26	d	d	X
ejpam-3199	210	27	,	,	PUNCT
ejpam-3199	210	28	we	we	PRON
ejpam-3199	210	29	obtain	obtain	VERB
ejpam-3199	210	30	the	the	DET
ejpam-3199	210	31	multiparameter	multiparameter	NOUN
ejpam-3199	210	32	representation	representation	NOUN
ejpam-3199	210	33	a(e5,1	a(e5,1	NOUN
ejpam-3199	210	34	)	)	PUNCT
ejpam-3199	210	35	.	.	PUNCT
ejpam-3199	211	1	this	this	DET
ejpam-3199	211	2	representation	representation	NOUN
ejpam-3199	211	3	is	be	AUX
ejpam-3199	211	4	of	of	ADP
ejpam-3199	211	5	degree	degree	NOUN
ejpam-3199	211	6	8	8	NUM
ejpam-3199	211	7	.	.	PUNCT
ejpam-3199	212	1	we	we	PRON
ejpam-3199	212	2	specialize	specialize	VERB
ejpam-3199	212	3	the	the	DET
ejpam-3199	212	4	parameters	parameter	NOUN
ejpam-3199	212	5	λ1	λ1	ADJ
ejpam-3199	212	6	,	,	PUNCT
ejpam-3199	212	7	λ2	λ2	PROPN
ejpam-3199	212	8	,	,	PUNCT
ejpam-3199	212	9	λ3	λ3	PROPN
ejpam-3199	212	10	,	,	PUNCT
ejpam-3199	212	11	λ4	λ4	PROPN
ejpam-3199	212	12	,	,	PUNCT
ejpam-3199	212	13	b1	b1	NOUN
ejpam-3199	212	14	,	,	PUNCT
ejpam-3199	212	15	b2	b2	NOUN
ejpam-3199	212	16	,	,	PUNCT
ejpam-3199	212	17	b3	b3	PROPN
ejpam-3199	212	18	,	,	PUNCT
ejpam-3199	212	19	b4	b4	NOUN
ejpam-3199	212	20	,	,	PUNCT
ejpam-3199	212	21	d1	d1	PROPN
ejpam-3199	212	22	,	,	PUNCT
ejpam-3199	212	23	d4	d4	PROPN
ejpam-3199	212	24	,	,	PUNCT
ejpam-3199	212	25	t	t	NOUN
ejpam-3199	212	26	to	to	ADP
ejpam-3199	212	27	values	value	NOUN
ejpam-3199	212	28	in	in	ADP
ejpam-3199	212	29	c	c	PROPN
ejpam-3199	212	30	−	−	PROPN
ejpam-3199	212	31	{	{	PUNCT
ejpam-3199	212	32	0	0	NUM
ejpam-3199	212	33	}	}	PUNCT
ejpam-3199	212	34	.	.	PUNCT
ejpam-3199	213	1	we	we	PRON
ejpam-3199	213	2	further	far	ADV
ejpam-3199	213	3	assume	assume	VERB
ejpam-3199	213	4	that	that	SCONJ
ejpam-3199	213	5	t	t	PROPN
ejpam-3199	213	6	6=	6=	ADP
ejpam-3199	213	7	−1	−1	NOUN
ejpam-3199	213	8	.	.	PUNCT
ejpam-3199	214	1	the	the	DET
ejpam-3199	214	2	representation	representation	NOUN
ejpam-3199	214	3	ψλ	ψλ	ADP
ejpam-3199	214	4	:	:	PUNCT
ejpam-3199	214	5	a(e5,1)→	a(e5,1)→	NUM
ejpam-3199	214	6	gl8(c	gl8(c	NOUN
ejpam-3199	214	7	)	)	PUNCT
ejpam-3199	214	8	is	be	AUX
ejpam-3199	214	9	defined	define	VERB
ejpam-3199	214	10	as	as	SCONJ
ejpam-3199	214	11	follows	follow	VERB
ejpam-3199	214	12	:	:	PUNCT
ejpam-3199	214	13	m.	m.	NOUN
ejpam-3199	214	14	dally	dally	ADV
ejpam-3199	214	15	,	,	PUNCT
ejpam-3199	214	16	m.	m.	NOUN
ejpam-3199	214	17	abdulrahim	abdulrahim	PROPN
ejpam-3199	214	18	/	/	SYM
ejpam-3199	214	19	eur	eur	PROPN
ejpam-3199	214	20	.	.	PUNCT
ejpam-3199	215	1	j.	j.	PROPN
ejpam-3199	215	2	pure	pure	PROPN
ejpam-3199	215	3	appl	appl	PROPN
ejpam-3199	215	4	.	.	PROPN
ejpam-3199	215	5	math	math	PROPN
ejpam-3199	215	6	,	,	PUNCT
ejpam-3199	215	7	11	11	NUM
ejpam-3199	215	8	(	(	PUNCT
ejpam-3199	215	9	1	1	NUM
ejpam-3199	215	10	)	)	PUNCT
ejpam-3199	215	11	(	(	PUNCT
ejpam-3199	215	12	2018	2018	NUM
ejpam-3199	215	13	)	)	PUNCT
ejpam-3199	215	14	,	,	PUNCT
ejpam-3199	215	15	215	215	NUM
ejpam-3199	215	16	-	-	SYM
ejpam-3199	215	17	237	237	NUM
ejpam-3199	215	18	228	228	NUM
ejpam-3199	215	19	ψλ(σ1	ψλ(σ1	NUM
ejpam-3199	215	20	)	)	PUNCT
ejpam-3199	216	1	=	=	PUNCT
ejpam-3199	216	2			NOUN
ejpam-3199	216	3	1	1	NUM
ejpam-3199	216	4	0	0	NUM
ejpam-3199	216	5	0	0	NUM
ejpam-3199	216	6	0	0	NUM
ejpam-3199	216	7	0	0	NUM
ejpam-3199	216	8	0	0	NUM
ejpam-3199	216	9	0	0	NUM
ejpam-3199	216	10	0	0	NUM
ejpam-3199	216	11	0	0	NUM
ejpam-3199	216	12	1	1	NUM
ejpam-3199	216	13	0	0	NUM
ejpam-3199	216	14	0	0	NUM
ejpam-3199	216	15	0	0	NUM
ejpam-3199	216	16	0	0	NUM
ejpam-3199	216	17	0	0	NUM
ejpam-3199	216	18	0	0	NUM
ejpam-3199	216	19	0	0	NUM
ejpam-3199	216	20	0	0	NUM
ejpam-3199	216	21	1	1	NUM
ejpam-3199	216	22	0	0	NUM
ejpam-3199	216	23	0	0	NUM
ejpam-3199	216	24	0	0	NUM
ejpam-3199	216	25	0	0	NUM
ejpam-3199	216	26	0	0	NUM
ejpam-3199	216	27	0	0	NUM
ejpam-3199	216	28	0	0	NUM
ejpam-3199	216	29	0	0	NUM
ejpam-3199	216	30	1	1	NUM
ejpam-3199	216	31	0	0	NUM
ejpam-3199	216	32	0	0	NUM
ejpam-3199	216	33	0	0	NUM
ejpam-3199	216	34	0	0	NUM
ejpam-3199	216	35	t	t	NOUN
ejpam-3199	216	36	0	0	NUM
ejpam-3199	216	37	0	0	SYM
ejpam-3199	216	38	0	0	NUM
ejpam-3199	216	39	−t	−t	NOUN
ejpam-3199	216	40	1	1	NUM
ejpam-3199	216	41	0	0	NUM
ejpam-3199	216	42	0	0	NUM
ejpam-3199	216	43	0	0	NUM
ejpam-3199	216	44	0	0	NUM
ejpam-3199	216	45	0	0	NUM
ejpam-3199	216	46	0	0	NUM
ejpam-3199	216	47	0	0	NUM
ejpam-3199	216	48	1	1	NUM
ejpam-3199	216	49	0	0	NUM
ejpam-3199	216	50	0	0	NUM
ejpam-3199	216	51	0	0	NUM
ejpam-3199	216	52	0	0	NUM
ejpam-3199	216	53	0	0	NUM
ejpam-3199	216	54	0	0	NUM
ejpam-3199	216	55	0	0	NUM
ejpam-3199	216	56	0	0	NUM
ejpam-3199	216	57	1	1	NUM
ejpam-3199	216	58	0	0	NUM
ejpam-3199	216	59	0	0	NUM
ejpam-3199	216	60	0	0	NUM
ejpam-3199	216	61	0	0	NUM
ejpam-3199	216	62	0	0	NUM
ejpam-3199	216	63	0	0	NUM
ejpam-3199	216	64	0	0	NUM
ejpam-3199	216	65	0	0	NUM
ejpam-3199	216	66	1	1	NUM
ejpam-3199	216	67			NOUN
ejpam-3199	216	68	,	,	PUNCT
ejpam-3199	216	69	ψλ(σ2	ψλ(σ2	X
ejpam-3199	216	70	)	)	PUNCT
ejpam-3199	216	71	=	=	PUNCT
ejpam-3199	216	72			NOUN
ejpam-3199	216	73	1	1	NUM
ejpam-3199	216	74	0	0	NUM
ejpam-3199	216	75	0	0	NUM
ejpam-3199	216	76	0	0	NUM
ejpam-3199	216	77	0	0	NUM
ejpam-3199	216	78	0	0	NUM
ejpam-3199	216	79	0	0	NUM
ejpam-3199	216	80	0	0	NUM
ejpam-3199	216	81	0	0	NUM
ejpam-3199	216	82	1	1	NUM
ejpam-3199	216	83	0	0	NUM
ejpam-3199	216	84	0	0	NUM
ejpam-3199	216	85	0	0	NUM
ejpam-3199	216	86	0	0	NUM
ejpam-3199	216	87	0	0	NUM
ejpam-3199	216	88	0	0	NUM
ejpam-3199	216	89	0	0	NUM
ejpam-3199	216	90	0	0	NUM
ejpam-3199	216	91	1	1	NUM
ejpam-3199	216	92	0	0	NUM
ejpam-3199	216	93	0	0	NUM
ejpam-3199	216	94	0	0	NUM
ejpam-3199	216	95	0	0	NUM
ejpam-3199	216	96	0	0	NUM
ejpam-3199	216	97	0	0	NUM
ejpam-3199	216	98	0	0	NUM
ejpam-3199	216	99	0	0	NUM
ejpam-3199	216	100	1	1	NUM
ejpam-3199	216	101	0	0	NUM
ejpam-3199	216	102	0	0	NUM
ejpam-3199	216	103	0	0	NUM
ejpam-3199	216	104	0	0	NUM
ejpam-3199	216	105	0	0	NUM
ejpam-3199	216	106	0	0	NUM
ejpam-3199	216	107	0	0	NUM
ejpam-3199	216	108	0	0	NUM
ejpam-3199	216	109	1	1	NUM
ejpam-3199	216	110	0	0	NUM
ejpam-3199	216	111	0	0	NUM
ejpam-3199	216	112	0	0	NUM
ejpam-3199	216	113	0	0	NUM
ejpam-3199	216	114	t	t	NOUN
ejpam-3199	216	115	0	0	NUM
ejpam-3199	216	116	0	0	NUM
ejpam-3199	216	117	t	t	PROPN
ejpam-3199	216	118	−t	−t	NOUN
ejpam-3199	216	119	1	1	NUM
ejpam-3199	216	120	0	0	NUM
ejpam-3199	216	121	0	0	NUM
ejpam-3199	216	122	0	0	NUM
ejpam-3199	216	123	0	0	NUM
ejpam-3199	216	124	0	0	NUM
ejpam-3199	216	125	0	0	NUM
ejpam-3199	216	126	0	0	NUM
ejpam-3199	216	127	1	1	NUM
ejpam-3199	216	128	0	0	NUM
ejpam-3199	216	129	0	0	NUM
ejpam-3199	216	130	0	0	NUM
ejpam-3199	216	131	0	0	NUM
ejpam-3199	216	132	0	0	NUM
ejpam-3199	216	133	0	0	NUM
ejpam-3199	216	134	0	0	NUM
ejpam-3199	216	135	0	0	NUM
ejpam-3199	216	136	1	1	NUM
ejpam-3199	216	137			NOUN
ejpam-3199	216	138	,	,	PUNCT
ejpam-3199	216	139	ψλ(σ3	ψλ(σ3	NOUN
ejpam-3199	216	140	)	)	PUNCT
ejpam-3199	216	141	=	=	PUNCT
ejpam-3199	216	142			NOUN
ejpam-3199	216	143	1	1	NUM
ejpam-3199	216	144	0	0	NUM
ejpam-3199	216	145	0	0	NUM
ejpam-3199	216	146	0	0	NUM
ejpam-3199	216	147	0	0	NUM
ejpam-3199	216	148	0	0	NUM
ejpam-3199	216	149	0	0	NUM
ejpam-3199	216	150	0	0	NUM
ejpam-3199	216	151	0	0	NUM
ejpam-3199	216	152	1	1	NUM
ejpam-3199	216	153	0	0	NUM
ejpam-3199	216	154	0	0	NUM
ejpam-3199	216	155	0	0	NUM
ejpam-3199	216	156	0	0	NUM
ejpam-3199	216	157	0	0	NUM
ejpam-3199	216	158	0	0	NUM
ejpam-3199	216	159	0	0	NUM
ejpam-3199	216	160	0	0	NUM
ejpam-3199	216	161	1	1	NUM
ejpam-3199	216	162	0	0	NUM
ejpam-3199	216	163	0	0	NUM
ejpam-3199	216	164	0	0	NUM
ejpam-3199	216	165	0	0	NUM
ejpam-3199	216	166	0	0	NUM
ejpam-3199	216	167	0	0	NUM
ejpam-3199	216	168	0	0	NUM
ejpam-3199	216	169	0	0	NUM
ejpam-3199	216	170	1	1	NUM
ejpam-3199	216	171	0	0	NUM
ejpam-3199	216	172	0	0	NUM
ejpam-3199	216	173	0	0	NUM
ejpam-3199	216	174	0	0	NUM
ejpam-3199	216	175	0	0	NUM
ejpam-3199	216	176	0	0	NUM
ejpam-3199	216	177	0	0	NUM
ejpam-3199	216	178	0	0	NUM
ejpam-3199	216	179	1	1	NUM
ejpam-3199	216	180	0	0	NUM
ejpam-3199	216	181	0	0	NUM
ejpam-3199	216	182	0	0	NUM
ejpam-3199	216	183	0	0	NUM
ejpam-3199	216	184	0	0	NUM
ejpam-3199	216	185	0	0	NUM
ejpam-3199	216	186	0	0	NUM
ejpam-3199	216	187	0	0	NUM
ejpam-3199	216	188	1	1	NUM
ejpam-3199	216	189	0	0	NUM
ejpam-3199	216	190	0	0	NUM
ejpam-3199	216	191	0	0	NUM
ejpam-3199	216	192	0	0	NUM
ejpam-3199	216	193	t	t	NOUN
ejpam-3199	216	194	0	0	NUM
ejpam-3199	216	195	0	0	NUM
ejpam-3199	216	196	t	t	PROPN
ejpam-3199	216	197	−t	−t	NOUN
ejpam-3199	216	198	1	1	NUM
ejpam-3199	216	199	0	0	NUM
ejpam-3199	216	200	0	0	NUM
ejpam-3199	216	201	0	0	NUM
ejpam-3199	216	202	0	0	NUM
ejpam-3199	216	203	0	0	NUM
ejpam-3199	216	204	0	0	NUM
ejpam-3199	216	205	0	0	NUM
ejpam-3199	216	206	1	1	NUM
ejpam-3199	216	207			PROPN
ejpam-3199	216	208	,	,	PUNCT
ejpam-3199	216	209	ψλ(σ4	ψλ(σ4	NOUN
ejpam-3199	216	210	)	)	PUNCT
ejpam-3199	216	211	=	=	PUNCT
ejpam-3199	217	1			NOUN
ejpam-3199	217	2	1	1	NUM
ejpam-3199	217	3	0	0	NUM
ejpam-3199	217	4	0	0	NUM
ejpam-3199	217	5	0	0	NUM
ejpam-3199	217	6	0	0	NUM
ejpam-3199	217	7	0	0	NUM
ejpam-3199	217	8	0	0	NUM
ejpam-3199	217	9	0	0	NUM
ejpam-3199	217	10	0	0	NUM
ejpam-3199	217	11	1	1	NUM
ejpam-3199	217	12	0	0	NUM
ejpam-3199	217	13	0	0	NUM
ejpam-3199	217	14	0	0	NUM
ejpam-3199	217	15	0	0	NUM
ejpam-3199	217	16	0	0	NUM
ejpam-3199	217	17	0	0	NUM
ejpam-3199	217	18	0	0	NUM
ejpam-3199	217	19	0	0	NUM
ejpam-3199	217	20	1	1	NUM
ejpam-3199	217	21	0	0	NUM
ejpam-3199	217	22	0	0	NUM
ejpam-3199	217	23	0	0	NUM
ejpam-3199	217	24	0	0	NUM
ejpam-3199	217	25	0	0	NUM
ejpam-3199	217	26	0	0	NUM
ejpam-3199	217	27	0	0	NUM
ejpam-3199	217	28	0	0	NUM
ejpam-3199	217	29	1	1	NUM
ejpam-3199	217	30	0	0	NUM
ejpam-3199	217	31	0	0	NUM
ejpam-3199	217	32	0	0	NUM
ejpam-3199	217	33	0	0	NUM
ejpam-3199	217	34	0	0	NUM
ejpam-3199	217	35	0	0	NUM
ejpam-3199	217	36	0	0	NUM
ejpam-3199	217	37	0	0	NUM
ejpam-3199	217	38	1	1	NUM
ejpam-3199	217	39	0	0	NUM
ejpam-3199	217	40	0	0	NUM
ejpam-3199	217	41	0	0	NUM
ejpam-3199	217	42	0	0	NUM
ejpam-3199	217	43	0	0	NUM
ejpam-3199	217	44	0	0	NUM
ejpam-3199	217	45	0	0	NUM
ejpam-3199	217	46	0	0	NUM
ejpam-3199	217	47	1	1	NUM
ejpam-3199	217	48	0	0	NUM
ejpam-3199	217	49	0	0	NUM
ejpam-3199	217	50	0	0	NUM
ejpam-3199	217	51	0	0	NUM
ejpam-3199	217	52	0	0	NUM
ejpam-3199	217	53	0	0	NUM
ejpam-3199	217	54	0	0	NUM
ejpam-3199	217	55	0	0	NUM
ejpam-3199	217	56	1	1	NUM
ejpam-3199	217	57	0	0	NUM
ejpam-3199	217	58	0	0	NUM
ejpam-3199	217	59	0	0	NUM
ejpam-3199	217	60	0	0	NUM
ejpam-3199	217	61	1	1	NUM
ejpam-3199	217	62	0	0	NUM
ejpam-3199	217	63	0	0	NUM
ejpam-3199	217	64	t	t	NOUN
ejpam-3199	217	65	−t	−t	NOUN
ejpam-3199	217	66			PROPN
ejpam-3199	217	67	,	,	PUNCT
ejpam-3199	217	68	and	and	CCONJ
ejpam-3199	217	69	m.	m.	NOUN
ejpam-3199	217	70	dally	dally	ADV
ejpam-3199	217	71	,	,	PUNCT
ejpam-3199	217	72	m.	m.	NOUN
ejpam-3199	217	73	abdulrahim	abdulrahim	PROPN
ejpam-3199	217	74	/	/	SYM
ejpam-3199	217	75	eur	eur	PROPN
ejpam-3199	217	76	.	.	PUNCT
ejpam-3199	218	1	j.	j.	PROPN
ejpam-3199	218	2	pure	pure	PROPN
ejpam-3199	218	3	appl	appl	PROPN
ejpam-3199	218	4	.	.	PROPN
ejpam-3199	218	5	math	math	PROPN
ejpam-3199	218	6	,	,	PUNCT
ejpam-3199	218	7	11	11	NUM
ejpam-3199	218	8	(	(	PUNCT
ejpam-3199	218	9	1	1	NUM
ejpam-3199	218	10	)	)	PUNCT
ejpam-3199	218	11	(	(	PUNCT
ejpam-3199	218	12	2018	2018	NUM
ejpam-3199	218	13	)	)	PUNCT
ejpam-3199	218	14	,	,	PUNCT
ejpam-3199	218	15	215	215	NUM
ejpam-3199	218	16	-	-	SYM
ejpam-3199	218	17	237	237	NUM
ejpam-3199	218	18	229	229	NUM
ejpam-3199	218	19	ψλ(δ)=	ψλ(δ)=	SYM
ejpam-3199	218	20	1	1	NUM
ejpam-3199	218	21	+	+	CCONJ
ejpam-3199	218	22	λ1b1	λ1b1	PUNCT
ejpam-3199	218	23	λ2b1	λ2b1	SYM
ejpam-3199	218	24	λ3b1	λ3b1	X
ejpam-3199	218	25	λ4b1	λ4b1	X
ejpam-3199	218	26	b1	b1	VERB
ejpam-3199	218	27	0	0	NUM
ejpam-3199	218	28	0	0	NUM
ejpam-3199	218	29	0	0	NUM
ejpam-3199	219	1	λ1b2	λ1b2	ADP
ejpam-3199	219	2	1	1	NUM
ejpam-3199	220	1	+	+	CCONJ
ejpam-3199	220	2	λ2b2	λ2b2	X
ejpam-3199	220	3	λ3b2	λ3b2	X
ejpam-3199	220	4	λ4b2	λ4b2	SYM
ejpam-3199	220	5	b2	b2	NOUN
ejpam-3199	220	6	0	0	NUM
ejpam-3199	220	7	0	0	NUM
ejpam-3199	220	8	0	0	NUM
ejpam-3199	221	1	λ1b3	λ1b3	NOUN
ejpam-3199	221	2	λ2b3	λ2b3	SYM
ejpam-3199	221	3	1	1	NUM
ejpam-3199	221	4	+	+	NOUN
ejpam-3199	221	5	λ3b3	λ3b3	ADJ
ejpam-3199	221	6	λ4b3	λ4b3	X
ejpam-3199	221	7	b3	b3	NOUN
ejpam-3199	221	8	0	0	NUM
ejpam-3199	221	9	0	0	NUM
ejpam-3199	221	10	0	0	NUM
ejpam-3199	222	1	λ1b4	λ1b4	X
ejpam-3199	222	2	λ2b4	λ2b4	X
ejpam-3199	222	3	λ3b4	λ3b4	X
ejpam-3199	222	4	1	1	NUM
ejpam-3199	222	5	+	+	CCONJ
ejpam-3199	222	6	λ4b4	λ4b4	X
ejpam-3199	222	7	b4	b4	NOUN
ejpam-3199	222	8	0	0	NUM
ejpam-3199	222	9	0	0	NUM
ejpam-3199	222	10	0	0	NUM
ejpam-3199	223	1	λ1d1	λ1d1	PRON
ejpam-3199	223	2	λ2d1	λ2d1	X
ejpam-3199	223	3	λ3d1	λ3d1	PROPN
ejpam-3199	223	4	λ4d1	λ4d1	X
ejpam-3199	223	5	1	1	NUM
ejpam-3199	223	6	+	+	CCONJ
ejpam-3199	223	7	d1	d1	PROPN
ejpam-3199	223	8	0	0	NUM
ejpam-3199	223	9	0	0	NUM
ejpam-3199	223	10	0	0	NUM
ejpam-3199	224	1	kλ1	kλ1	NOUN
ejpam-3199	224	2	kλ2	kλ2	PROPN
ejpam-3199	224	3	kλ3	kλ3	PROPN
ejpam-3199	224	4	kλ4	kλ4	VERB
ejpam-3199	224	5	k	k	PROPN
ejpam-3199	224	6	1	1	NUM
ejpam-3199	224	7	0	0	NUM
ejpam-3199	224	8	0	0	NUM
ejpam-3199	224	9	−t(1	−t(1	NOUN
ejpam-3199	225	1	+	+	CCONJ
ejpam-3199	225	2	t)λ1	t)λ1	ADJ
ejpam-3199	225	3	−t(1	−t(1	PROPN
ejpam-3199	225	4	+	+	CCONJ
ejpam-3199	225	5	t)λ2	t)λ2	PROPN
ejpam-3199	225	6	−t(1	−t(1	NOUN
ejpam-3199	226	1	+	+	CCONJ
ejpam-3199	226	2	t)λ3	t)λ3	PROPN
ejpam-3199	226	3	−t(1	−t(1	PROPN
ejpam-3199	226	4	+	+	CCONJ
ejpam-3199	226	5	t)λ4	t)λ4	PROPN
ejpam-3199	226	6	−t(1	−t(1	PROPN
ejpam-3199	226	7	+	+	CCONJ
ejpam-3199	226	8	t	t	X
ejpam-3199	226	9	)	)	PUNCT
ejpam-3199	226	10	0	0	NUM
ejpam-3199	227	1	1	1	NUM
ejpam-3199	227	2	0	0	NUM
ejpam-3199	228	1	λ1d4	λ1d4	PRON
ejpam-3199	228	2	λ2d4	λ2d4	NOUN
ejpam-3199	228	3	λ3d4	λ3d4	X
ejpam-3199	228	4	λ4d4	λ4d4	X
ejpam-3199	228	5	d4	d4	PROPN
ejpam-3199	228	6	0	0	NUM
ejpam-3199	228	7	0	0	NUM
ejpam-3199	228	8	1	1	NUM
ejpam-3199	228	9			NOUN
ejpam-3199	228	10	,	,	PUNCT
ejpam-3199	228	11	where	where	SCONJ
ejpam-3199	228	12	k	k	NOUN
ejpam-3199	228	13	=	=	PUNCT
ejpam-3199	228	14	−(1	−(1	NOUN
ejpam-3199	228	15	+	+	CCONJ
ejpam-3199	228	16	t+	t+	NOUN
ejpam-3199	228	17	t2	t2	NOUN
ejpam-3199	228	18	)	)	PUNCT
ejpam-3199	228	19	.	.	PUNCT
ejpam-3199	229	1	the	the	DET
ejpam-3199	229	2	graph	graph	NOUN
ejpam-3199	229	3	e5,1	e5,1	PROPN
ejpam-3199	229	4	has	have	VERB
ejpam-3199	229	5	5	5	NUM
ejpam-3199	229	6	vertices	vertex	NOUN
ejpam-3199	229	7	σ1	σ1	PROPN
ejpam-3199	229	8	,	,	PUNCT
ejpam-3199	229	9	σ2	σ2	PROPN
ejpam-3199	229	10	,	,	PUNCT
ejpam-3199	229	11	σ3	σ3	PROPN
ejpam-3199	229	12	,	,	PUNCT
ejpam-3199	229	13	σ4	σ4	NOUN
ejpam-3199	229	14	and	and	CCONJ
ejpam-3199	229	15	δ	δ	PROPN
ejpam-3199	229	16	.	.	PUNCT
ejpam-3199	230	1	since	since	SCONJ
ejpam-3199	230	2	p	p	NOUN
ejpam-3199	230	3	=	=	NOUN
ejpam-3199	230	4	1	1	NUM
ejpam-3199	230	5	,	,	PUNCT
ejpam-3199	230	6	it	it	PRON
ejpam-3199	230	7	follows	follow	VERB
ejpam-3199	230	8	that	that	SCONJ
ejpam-3199	230	9	the	the	DET
ejpam-3199	230	10	vertex	vertex	NOUN
ejpam-3199	230	11	δ	δ	PROPN
ejpam-3199	230	12	has	have	VERB
ejpam-3199	230	13	a	a	DET
ejpam-3199	230	14	common	common	ADJ
ejpam-3199	230	15	edge	edge	NOUN
ejpam-3199	230	16	with	with	ADP
ejpam-3199	230	17	σp	σp	PROPN
ejpam-3199	230	18	=	=	SYM
ejpam-3199	230	19	σ1	σ1	PROPN
ejpam-3199	230	20	.	.	PUNCT
ejpam-3199	231	1	therefore	therefore	ADV
ejpam-3199	231	2	,	,	PUNCT
ejpam-3199	231	3	the	the	DET
ejpam-3199	231	4	following	follow	VERB
ejpam-3199	231	5	relations	relation	NOUN
ejpam-3199	231	6	are	be	AUX
ejpam-3199	231	7	satisfied	satisfied	ADJ
ejpam-3199	231	8	.	.	PUNCT
ejpam-3199	232	1	σ1σ2σ1	σ1σ2σ1	PROPN
ejpam-3199	232	2	=	=	PUNCT
ejpam-3199	232	3	σ2σ1σ2	σ2σ1σ2	PROPN
ejpam-3199	232	4	(	(	PUNCT
ejpam-3199	232	5	6.1	6.1	NUM
ejpam-3199	232	6	)	)	PUNCT
ejpam-3199	232	7	σ2σ3σ2	σ2σ3σ2	NOUN
ejpam-3199	232	8	=	=	SYM
ejpam-3199	232	9	σ3σ2σ3	σ3σ2σ3	PROPN
ejpam-3199	232	10	(	(	PUNCT
ejpam-3199	232	11	6.2	6.2	NUM
ejpam-3199	232	12	)	)	PUNCT
ejpam-3199	232	13	σ3σ4σ3	σ3σ4σ3	NOUN
ejpam-3199	232	14	=	=	SYM
ejpam-3199	232	15	σ4σ3σ4	σ4σ3σ4	PROPN
ejpam-3199	232	16	(	(	PUNCT
ejpam-3199	232	17	6.3	6.3	NUM
ejpam-3199	232	18	)	)	PUNCT
ejpam-3199	232	19	σ1σ3	σ1σ3	NOUN
ejpam-3199	232	20	=	=	SYM
ejpam-3199	232	21	σ3σ1	σ3σ1	X
ejpam-3199	232	22	(	(	PUNCT
ejpam-3199	232	23	6.4	6.4	NUM
ejpam-3199	232	24	)	)	PUNCT
ejpam-3199	232	25	σ1σ4	σ1σ4	PUNCT
ejpam-3199	233	1	=	=	SYM
ejpam-3199	233	2	σ4σ1	σ4σ1	PROPN
ejpam-3199	233	3	(	(	PUNCT
ejpam-3199	233	4	6.5	6.5	NUM
ejpam-3199	233	5	)	)	PUNCT
ejpam-3199	233	6	σ2σ4	σ2σ4	NOUN
ejpam-3199	234	1	=	=	PUNCT
ejpam-3199	234	2	σ4σ2	σ4σ2	PROPN
ejpam-3199	234	3	(	(	PUNCT
ejpam-3199	234	4	6.6	6.6	NUM
ejpam-3199	234	5	)	)	PUNCT
ejpam-3199	234	6	σ2δ	σ2δ	PROPN
ejpam-3199	234	7	=	=	PUNCT
ejpam-3199	234	8	δσ2	δσ2	PROPN
ejpam-3199	234	9	(	(	PUNCT
ejpam-3199	234	10	6.7	6.7	NUM
ejpam-3199	234	11	)	)	PUNCT
ejpam-3199	234	12	σ3δ	σ3δ	NOUN
ejpam-3199	235	1	=	=	SYM
ejpam-3199	235	2	δσ3	δσ3	X
ejpam-3199	235	3	(	(	PUNCT
ejpam-3199	235	4	6.8	6.8	NUM
ejpam-3199	235	5	)	)	PUNCT
ejpam-3199	235	6	σ4δ	σ4δ	NOUN
ejpam-3199	235	7	=	=	SYM
ejpam-3199	235	8	δσ4	δσ4	NOUN
ejpam-3199	235	9	(	(	PUNCT
ejpam-3199	235	10	6.9	6.9	NUM
ejpam-3199	235	11	)	)	PUNCT
ejpam-3199	235	12	σ1δσ1	σ1δσ1	NOUN
ejpam-3199	235	13	=	=	SYM
ejpam-3199	235	14	δσ1δ	δσ1δ	PROPN
ejpam-3199	235	15	(	(	PUNCT
ejpam-3199	235	16	6.10	6.10	NUM
ejpam-3199	235	17	)	)	PUNCT
ejpam-3199	235	18	we	we	PRON
ejpam-3199	235	19	note	note	VERB
ejpam-3199	235	20	that	that	SCONJ
ejpam-3199	235	21	relations	relation	NOUN
ejpam-3199	235	22	(	(	PUNCT
ejpam-3199	235	23	6.1),(6.2	6.1),(6.2	NUM
ejpam-3199	235	24	)	)	PUNCT
ejpam-3199	235	25	,	,	PUNCT
ejpam-3199	235	26	(	(	PUNCT
ejpam-3199	235	27	6.3	6.3	NUM
ejpam-3199	235	28	)	)	PUNCT
ejpam-3199	235	29	,	,	PUNCT
ejpam-3199	235	30	(	(	PUNCT
ejpam-3199	235	31	6.4	6.4	NUM
ejpam-3199	235	32	)	)	PUNCT
ejpam-3199	235	33	,	,	PUNCT
ejpam-3199	235	34	(	(	PUNCT
ejpam-3199	235	35	6.5	6.5	NUM
ejpam-3199	235	36	)	)	PUNCT
ejpam-3199	235	37	and	and	CCONJ
ejpam-3199	235	38	(	(	PUNCT
ejpam-3199	235	39	6.6	6.6	NUM
ejpam-3199	235	40	)	)	PUNCT
ejpam-3199	235	41	are	be	AUX
ejpam-3199	235	42	actually	actually	ADV
ejpam-3199	235	43	artin	artin	PROPN
ejpam-3199	235	44	’s	’s	PART
ejpam-3199	235	45	braid	braid	PROPN
ejpam-3199	235	46	relation	relation	NOUN
ejpam-3199	235	47	of	of	ADP
ejpam-3199	235	48	the	the	DET
ejpam-3199	235	49	classical	classical	ADJ
ejpam-3199	235	50	braid	braid	NOUN
ejpam-3199	235	51	group	group	NOUN
ejpam-3199	235	52	,	,	PUNCT
ejpam-3199	235	53	b5	b5	PROPN
ejpam-3199	235	54	having	have	VERB
ejpam-3199	235	55	σ1	σ1	PROPN
ejpam-3199	235	56	,	,	PUNCT
ejpam-3199	235	57	σ2	σ2	PROPN
ejpam-3199	235	58	,	,	PUNCT
ejpam-3199	235	59	σ3	σ3	PROPN
ejpam-3199	235	60	,	,	PUNCT
ejpam-3199	235	61	and	and	CCONJ
ejpam-3199	235	62	σ4	σ4	NOUN
ejpam-3199	235	63	as	as	ADP
ejpam-3199	235	64	standard	standard	ADJ
ejpam-3199	235	65	generators	generator	NOUN
ejpam-3199	235	66	.	.	PUNCT
ejpam-3199	236	1	this	this	PRON
ejpam-3199	236	2	assures	assure	VERB
ejpam-3199	236	3	that	that	SCONJ
ejpam-3199	236	4	a	a	DET
ejpam-3199	236	5	representation	representation	NOUN
ejpam-3199	236	6	of	of	ADP
ejpam-3199	236	7	a(e5,1	a(e5,1	NOUN
ejpam-3199	236	8	)	)	PUNCT
ejpam-3199	236	9	yields	yield	VERB
ejpam-3199	236	10	a	a	DET
ejpam-3199	236	11	representation	representation	NOUN
ejpam-3199	236	12	of	of	ADP
ejpam-3199	236	13	b5	b5	PROPN
ejpam-3199	236	14	.	.	PUNCT
ejpam-3199	237	1	for	for	ADP
ejpam-3199	237	2	more	more	ADJ
ejpam-3199	237	3	details	detail	NOUN
ejpam-3199	237	4	,	,	PUNCT
ejpam-3199	237	5	see	see	VERB
ejpam-3199	237	6	[	[	X
ejpam-3199	237	7	1	1	X
ejpam-3199	237	8	]	]	PUNCT
ejpam-3199	237	9	and	and	CCONJ
ejpam-3199	237	10	[	[	X
ejpam-3199	237	11	4	4	NUM
ejpam-3199	237	12	]	]	PUNCT
ejpam-3199	237	13	.	.	PUNCT
ejpam-3199	238	1	lemma	lemma	PROPN
ejpam-3199	238	2	4	4	NUM
ejpam-3199	238	3	.	.	PUNCT
ejpam-3199	239	1	the	the	DET
ejpam-3199	239	2	representation	representation	NOUN
ejpam-3199	239	3	ψλ	ψλ	ADP
ejpam-3199	239	4	:	:	PUNCT
ejpam-3199	239	5	a(e5,1)→	a(e5,1)→	NUM
ejpam-3199	239	6	gl8(c	gl8(c	NOUN
ejpam-3199	239	7	)	)	PUNCT
ejpam-3199	239	8	is	be	AUX
ejpam-3199	239	9	reducible	reducible	ADJ
ejpam-3199	239	10	.	.	PUNCT
ejpam-3199	240	1	proof	proof	NOUN
ejpam-3199	240	2	.	.	PUNCT
ejpam-3199	241	1	for	for	ADP
ejpam-3199	241	2	simplicity	simplicity	NOUN
ejpam-3199	241	3	,	,	PUNCT
ejpam-3199	241	4	we	we	PRON
ejpam-3199	241	5	write	write	VERB
ejpam-3199	241	6	σi	σi	PRON
ejpam-3199	241	7	instead	instead	ADV
ejpam-3199	241	8	of	of	ADP
ejpam-3199	241	9	ψλ(σi	ψλ(σi	PROPN
ejpam-3199	241	10	)	)	PUNCT
ejpam-3199	242	1	.the	.the	PRON
ejpam-3199	242	2	subspace	subspace	NOUN
ejpam-3199	242	3	s	s	PART
ejpam-3199	242	4	=	=	VERB
ejpam-3199	242	5	〈	〈	PROPN
ejpam-3199	242	6	e1	e1	NOUN
ejpam-3199	242	7	+	+	CCONJ
ejpam-3199	242	8	b2	b2	NOUN
ejpam-3199	242	9	b1	b1	NOUN
ejpam-3199	242	10	e2	e2	PROPN
ejpam-3199	242	11	+	+	CCONJ
ejpam-3199	242	12	b3	b3	PROPN
ejpam-3199	242	13	b1	b1	NOUN
ejpam-3199	242	14	e3	e3	NOUN
ejpam-3199	242	15	+	+	CCONJ
ejpam-3199	242	16	b4	b4	PROPN
ejpam-3199	242	17	b1	b1	PROPN
ejpam-3199	242	18	e4	e4	PROPN
ejpam-3199	242	19	,	,	PUNCT
ejpam-3199	242	20	e5	e5	PROPN
ejpam-3199	242	21	,	,	PUNCT
ejpam-3199	242	22	e6	e6	PROPN
ejpam-3199	242	23	,	,	PUNCT
ejpam-3199	242	24	e7	e7	PROPN
ejpam-3199	242	25	,	,	PUNCT
ejpam-3199	242	26	e8	e8	PROPN
ejpam-3199	242	27	〉	〉	PROPN
ejpam-3199	242	28	is	be	AUX
ejpam-3199	242	29	an	an	DET
ejpam-3199	242	30	invariant	invariant	ADJ
ejpam-3199	242	31	subspace	subspace	NOUN
ejpam-3199	242	32	of	of	ADP
ejpam-3199	242	33	dimension	dimension	NOUN
ejpam-3199	242	34	5	5	NUM
ejpam-3199	242	35	.	.	PUNCT
ejpam-3199	242	36	m.	m.	NOUN
ejpam-3199	242	37	dally	dally	ADV
ejpam-3199	242	38	,	,	PUNCT
ejpam-3199	242	39	m.	m.	NOUN
ejpam-3199	242	40	abdulrahim	abdulrahim	PROPN
ejpam-3199	242	41	/	/	SYM
ejpam-3199	242	42	eur	eur	PROPN
ejpam-3199	242	43	.	.	PUNCT
ejpam-3199	243	1	j.	j.	PROPN
ejpam-3199	243	2	pure	pure	PROPN
ejpam-3199	243	3	appl	appl	PROPN
ejpam-3199	243	4	.	.	PROPN
ejpam-3199	243	5	math	math	PROPN
ejpam-3199	243	6	,	,	PUNCT
ejpam-3199	243	7	11	11	NUM
ejpam-3199	243	8	(	(	PUNCT
ejpam-3199	243	9	1	1	NUM
ejpam-3199	243	10	)	)	PUNCT
ejpam-3199	243	11	(	(	PUNCT
ejpam-3199	243	12	2018	2018	NUM
ejpam-3199	243	13	)	)	PUNCT
ejpam-3199	243	14	,	,	PUNCT
ejpam-3199	243	15	215	215	NUM
ejpam-3199	243	16	-	-	SYM
ejpam-3199	243	17	237	237	NUM
ejpam-3199	243	18	230	230	NUM
ejpam-3199	243	19	7	7	NUM
ejpam-3199	243	20	.	.	PUNCT
ejpam-3199	244	1	on	on	ADP
ejpam-3199	244	2	the	the	DET
ejpam-3199	244	3	irreducibility	irreducibility	NOUN
ejpam-3199	244	4	of	of	ADP
ejpam-3199	244	5	ψ′	ψ′	PUNCT
ejpam-3199	244	6	λ	λ	NOUN
ejpam-3199	244	7	:	:	PUNCT
ejpam-3199	244	8	a(e5,1	a(e5,1	X
ejpam-3199	244	9	)	)	PUNCT
ejpam-3199	244	10	→	→	SYM
ejpam-3199	244	11	gl5(c	gl5(c	PROPN
ejpam-3199	244	12	)	)	PUNCT
ejpam-3199	244	13	we	we	PRON
ejpam-3199	244	14	consider	consider	VERB
ejpam-3199	244	15	the	the	DET
ejpam-3199	244	16	representation	representation	NOUN
ejpam-3199	244	17	ψλ	ψλ	ADP
ejpam-3199	244	18	:	:	PUNCT
ejpam-3199	244	19	a(e5,1)→	a(e5,1)→	NUM
ejpam-3199	244	20	gl8(c	gl8(c	NOUN
ejpam-3199	244	21	)	)	PUNCT
ejpam-3199	244	22	restricted	restrict	VERB
ejpam-3199	244	23	to	to	ADP
ejpam-3199	244	24	the	the	DET
ejpam-3199	244	25	basis	basis	NOUN
ejpam-3199	244	26	e1	e1	NOUN
ejpam-3199	244	27	,	,	PUNCT
ejpam-3199	244	28	e2	e2	PROPN
ejpam-3199	244	29	,	,	PUNCT
ejpam-3199	244	30	e3	e3	NOUN
ejpam-3199	244	31	,	,	PUNCT
ejpam-3199	244	32	e1	e1	PROPN
ejpam-3199	244	33	+	+	CCONJ
ejpam-3199	244	34	b2	b2	NOUN
ejpam-3199	244	35	b1	b1	NOUN
ejpam-3199	244	36	e2	e2	PROPN
ejpam-3199	244	37	+	+	CCONJ
ejpam-3199	244	38	b3	b3	PROPN
ejpam-3199	244	39	b1	b1	NOUN
ejpam-3199	244	40	e3	e3	NOUN
ejpam-3199	244	41	+	+	CCONJ
ejpam-3199	244	42	b4	b4	PROPN
ejpam-3199	244	43	b1	b1	PROPN
ejpam-3199	244	44	e4	e4	PROPN
ejpam-3199	244	45	,	,	PUNCT
ejpam-3199	244	46	e5	e5	PROPN
ejpam-3199	244	47	,	,	PUNCT
ejpam-3199	244	48	e6	e6	PROPN
ejpam-3199	244	49	,	,	PUNCT
ejpam-3199	244	50	e7	e7	PROPN
ejpam-3199	244	51	,	,	PUNCT
ejpam-3199	244	52	and	and	CCONJ
ejpam-3199	244	53	e8	e8	PROPN
ejpam-3199	244	54	to	to	PART
ejpam-3199	244	55	get	get	VERB
ejpam-3199	244	56	the	the	DET
ejpam-3199	244	57	subrepresentation	subrepresentation	NOUN
ejpam-3199	244	58	ψ′λ	ψ′λ	PROPN
ejpam-3199	244	59	:	:	PUNCT
ejpam-3199	244	60	a(e5,1)→	a(e5,1)→	NOUN
ejpam-3199	244	61	gl5(c	gl5(c	PROPN
ejpam-3199	244	62	)	)	PUNCT
ejpam-3199	244	63	which	which	PRON
ejpam-3199	244	64	is	be	AUX
ejpam-3199	244	65	the	the	DET
ejpam-3199	244	66	representation	representation	NOUN
ejpam-3199	244	67	restricted	restrict	VERB
ejpam-3199	244	68	to	to	ADP
ejpam-3199	244	69	the	the	DET
ejpam-3199	244	70	sub	sub	ADJ
ejpam-3199	244	71	-	-	ADJ
ejpam-3199	244	72	basis	basis	NOUN
ejpam-3199	244	73	e1	e1	NOUN
ejpam-3199	244	74	+	+	CCONJ
ejpam-3199	244	75	b2	b2	NOUN
ejpam-3199	244	76	b1	b1	NOUN
ejpam-3199	244	77	e2	e2	PROPN
ejpam-3199	244	78	+	+	CCONJ
ejpam-3199	244	79	b3	b3	PROPN
ejpam-3199	244	80	b1	b1	NOUN
ejpam-3199	244	81	e3	e3	NOUN
ejpam-3199	244	82	+	+	CCONJ
ejpam-3199	244	83	b4	b4	PROPN
ejpam-3199	244	84	b1	b1	PROPN
ejpam-3199	244	85	e4	e4	PROPN
ejpam-3199	244	86	,	,	PUNCT
ejpam-3199	244	87	e5	e5	PROPN
ejpam-3199	244	88	,	,	PUNCT
ejpam-3199	244	89	e6	e6	PROPN
ejpam-3199	244	90	,	,	PUNCT
ejpam-3199	244	91	e7	e7	PROPN
ejpam-3199	244	92	.	.	PUNCT
ejpam-3199	245	1	this	this	DET
ejpam-3199	245	2	representation	representation	NOUN
ejpam-3199	245	3	is	be	AUX
ejpam-3199	245	4	defined	define	VERB
ejpam-3199	245	5	as	as	ADP
ejpam-3199	245	6	follows	follow	VERB
ejpam-3199	245	7	:	:	PUNCT
ejpam-3199	245	8	ψ′λ(σ1	ψ′λ(σ1	NOUN
ejpam-3199	245	9	)	)	PUNCT
ejpam-3199	245	10	=	=	NOUN
ejpam-3199	245	11			NOUN
ejpam-3199	245	12	1	1	NUM
ejpam-3199	245	13	t	t	NOUN
ejpam-3199	245	14	0	0	NUM
ejpam-3199	245	15	0	0	NUM
ejpam-3199	245	16	0	0	NUM
ejpam-3199	245	17	0	0	NUM
ejpam-3199	245	18	−t	−t	NOUN
ejpam-3199	245	19	0	0	NUM
ejpam-3199	245	20	0	0	NUM
ejpam-3199	245	21	0	0	NUM
ejpam-3199	245	22	0	0	NUM
ejpam-3199	245	23	1	1	NUM
ejpam-3199	245	24	1	1	NUM
ejpam-3199	245	25	0	0	NUM
ejpam-3199	245	26	0	0	NUM
ejpam-3199	245	27	0	0	NUM
ejpam-3199	245	28	0	0	NUM
ejpam-3199	245	29	0	0	NUM
ejpam-3199	245	30	1	1	NUM
ejpam-3199	245	31	0	0	NUM
ejpam-3199	245	32	0	0	NUM
ejpam-3199	245	33	0	0	NUM
ejpam-3199	245	34	0	0	NUM
ejpam-3199	245	35	0	0	NUM
ejpam-3199	245	36	1	1	NUM
ejpam-3199	245	37			NOUN
ejpam-3199	245	38	,	,	PUNCT
ejpam-3199	245	39	ψ′λ(σ2	ψ′λ(σ2	ADJ
ejpam-3199	245	40	)	)	PUNCT
ejpam-3199	245	41	=	=	NOUN
ejpam-3199	245	42			NOUN
ejpam-3199	245	43	1	1	NUM
ejpam-3199	245	44	0	0	NUM
ejpam-3199	245	45	tb2	tb2	PROPN
ejpam-3199	245	46	b1	b1	NOUN
ejpam-3199	245	47	0	0	NUM
ejpam-3199	245	48	0	0	NUM
ejpam-3199	245	49	0	0	NUM
ejpam-3199	245	50	1	1	NUM
ejpam-3199	245	51	t	t	NOUN
ejpam-3199	245	52	0	0	NUM
ejpam-3199	245	53	0	0	NUM
ejpam-3199	245	54	0	0	NUM
ejpam-3199	245	55	0	0	NUM
ejpam-3199	246	1	−t	−t	NOUN
ejpam-3199	246	2	0	0	NUM
ejpam-3199	246	3	0	0	NUM
ejpam-3199	246	4	0	0	NUM
ejpam-3199	246	5	0	0	NUM
ejpam-3199	246	6	1	1	NUM
ejpam-3199	246	7	1	1	NUM
ejpam-3199	246	8	0	0	NUM
ejpam-3199	246	9	0	0	NUM
ejpam-3199	246	10	0	0	NUM
ejpam-3199	246	11	0	0	NUM
ejpam-3199	246	12	0	0	NUM
ejpam-3199	246	13	1	1	NUM
ejpam-3199	246	14			NOUN
ejpam-3199	246	15	,	,	PUNCT
ejpam-3199	246	16	ψ′λ(σ3	ψ′λ(σ3	NOUN
ejpam-3199	246	17	)	)	PUNCT
ejpam-3199	246	18	=	=	NOUN
ejpam-3199	246	19			NOUN
ejpam-3199	246	20	1	1	NUM
ejpam-3199	246	21	0	0	NUM
ejpam-3199	246	22	0	0	NUM
ejpam-3199	246	23	tb3	tb3	NOUN
ejpam-3199	246	24	b1	b1	NOUN
ejpam-3199	246	25	0	0	NUM
ejpam-3199	246	26	0	0	NUM
ejpam-3199	246	27	1	1	NUM
ejpam-3199	246	28	0	0	NUM
ejpam-3199	246	29	0	0	NUM
ejpam-3199	246	30	0	0	NUM
ejpam-3199	246	31	0	0	NUM
ejpam-3199	246	32	0	0	NUM
ejpam-3199	246	33	1	1	NUM
ejpam-3199	246	34	t	t	NOUN
ejpam-3199	246	35	0	0	NUM
ejpam-3199	246	36	0	0	NUM
ejpam-3199	246	37	0	0	NUM
ejpam-3199	246	38	0	0	NUM
ejpam-3199	247	1	−t	−t	NOUN
ejpam-3199	247	2	0	0	NUM
ejpam-3199	247	3	0	0	NUM
ejpam-3199	247	4	0	0	NUM
ejpam-3199	247	5	0	0	NUM
ejpam-3199	247	6	1	1	NUM
ejpam-3199	247	7	1	1	NUM
ejpam-3199	247	8			NOUN
ejpam-3199	247	9	,	,	PUNCT
ejpam-3199	247	10	ψ′λ(σ4	ψ′λ(σ4	NOUN
ejpam-3199	247	11	)	)	PUNCT
ejpam-3199	247	12	=	=	NOUN
ejpam-3199	247	13			NOUN
ejpam-3199	247	14	1	1	NUM
ejpam-3199	247	15	0	0	NUM
ejpam-3199	247	16	0	0	NUM
ejpam-3199	247	17	0	0	NUM
ejpam-3199	247	18	tb4	tb4	VERB
ejpam-3199	247	19	b1	b1	NOUN
ejpam-3199	247	20	0	0	NUM
ejpam-3199	247	21	1	1	NUM
ejpam-3199	247	22	0	0	NUM
ejpam-3199	247	23	0	0	NUM
ejpam-3199	247	24	0	0	NUM
ejpam-3199	247	25	0	0	NUM
ejpam-3199	247	26	0	0	NUM
ejpam-3199	247	27	1	1	NUM
ejpam-3199	247	28	0	0	NUM
ejpam-3199	247	29	0	0	NUM
ejpam-3199	247	30	0	0	NUM
ejpam-3199	247	31	0	0	NUM
ejpam-3199	247	32	0	0	NUM
ejpam-3199	247	33	1	1	NUM
ejpam-3199	247	34	t	t	NOUN
ejpam-3199	247	35	0	0	NUM
ejpam-3199	247	36	0	0	NUM
ejpam-3199	247	37	0	0	NUM
ejpam-3199	247	38	0	0	NUM
ejpam-3199	247	39	−t	−t	NOUN
ejpam-3199	247	40			NOUN
ejpam-3199	247	41	,	,	PUNCT
ejpam-3199	247	42	and	and	CCONJ
ejpam-3199	247	43	ψ′λ(δ	ψ′λ(δ	ADJ
ejpam-3199	247	44	)	)	PUNCT
ejpam-3199	248	1	=	=	SYM
ejpam-3199	248	2	m.	m.	NOUN
ejpam-3199	248	3	dally	dally	ADV
ejpam-3199	248	4	,	,	PUNCT
ejpam-3199	248	5	m.	m.	NOUN
ejpam-3199	248	6	abdulrahim	abdulrahim	PROPN
ejpam-3199	248	7	/	/	SYM
ejpam-3199	248	8	eur	eur	PROPN
ejpam-3199	248	9	.	.	PUNCT
ejpam-3199	249	1	j.	j.	PROPN
ejpam-3199	249	2	pure	pure	PROPN
ejpam-3199	249	3	appl	appl	PROPN
ejpam-3199	249	4	.	.	PROPN
ejpam-3199	249	5	math	math	PROPN
ejpam-3199	249	6	,	,	PUNCT
ejpam-3199	249	7	11	11	NUM
ejpam-3199	249	8	(	(	PUNCT
ejpam-3199	249	9	1	1	NUM
ejpam-3199	249	10	)	)	PUNCT
ejpam-3199	249	11	(	(	PUNCT
ejpam-3199	249	12	2018	2018	NUM
ejpam-3199	249	13	)	)	PUNCT
ejpam-3199	249	14	,	,	PUNCT
ejpam-3199	249	15	215	215	NUM
ejpam-3199	249	16	-	-	SYM
ejpam-3199	249	17	237	237	NUM
ejpam-3199	249	18	231	231	NUM
ejpam-3199	249	19			NOUN
ejpam-3199	249	20	1	1	NUM
ejpam-3199	249	21	+	+	NUM
ejpam-3199	249	22	r	r	NOUN
ejpam-3199	249	23	d1	d1	NOUN
ejpam-3199	249	24	b1	b1	NOUN
ejpam-3199	249	25	r	r	NOUN
ejpam-3199	249	26	−(1+t+t2	−(1+t+t2	PROPN
ejpam-3199	249	27	)	)	PUNCT
ejpam-3199	249	28	b1	b1	NOUN
ejpam-3199	249	29	r	r	NOUN
ejpam-3199	249	30	−t(1+t	−t(1+t	PROPN
ejpam-3199	249	31	)	)	PUNCT
ejpam-3199	249	32	b1	b1	NOUN
ejpam-3199	249	33	r	r	NOUN
ejpam-3199	249	34	d4	d4	PROPN
ejpam-3199	249	35	b1	b1	NOUN
ejpam-3199	249	36	r	r	NOUN
ejpam-3199	249	37	b1	b1	NOUN
ejpam-3199	249	38	1	1	NUM
ejpam-3199	249	39	+	+	CCONJ
ejpam-3199	249	40	d1	d1	NOUN
ejpam-3199	249	41	−(1	−(1	NOUN
ejpam-3199	249	42	+	+	CCONJ
ejpam-3199	249	43	t+	t+	PUNCT
ejpam-3199	249	44	t2	t2	NOUN
ejpam-3199	249	45	)	)	PUNCT
ejpam-3199	249	46	−t(1	−t(1	NOUN
ejpam-3199	250	1	+	+	CCONJ
ejpam-3199	250	2	t	t	X
ejpam-3199	250	3	)	)	PUNCT
ejpam-3199	250	4	d4	d4	PROPN
ejpam-3199	250	5	0	0	NUM
ejpam-3199	250	6	0	0	NUM
ejpam-3199	250	7	1	1	NUM
ejpam-3199	250	8	0	0	NUM
ejpam-3199	250	9	0	0	NUM
ejpam-3199	250	10	0	0	NUM
ejpam-3199	250	11	0	0	NUM
ejpam-3199	250	12	0	0	NUM
ejpam-3199	250	13	1	1	NUM
ejpam-3199	250	14	0	0	NUM
ejpam-3199	250	15	0	0	NUM
ejpam-3199	250	16	0	0	NUM
ejpam-3199	250	17	0	0	NUM
ejpam-3199	250	18	0	0	NUM
ejpam-3199	250	19	1	1	NUM
ejpam-3199	250	20			PROPN
ejpam-3199	250	21	,	,	PUNCT
ejpam-3199	250	22	where	where	SCONJ
ejpam-3199	250	23	r	r	NOUN
ejpam-3199	250	24	=	=	PUNCT
ejpam-3199	250	25	∑4	∑4	PROPN
ejpam-3199	250	26	i=1	i=1	PROPN
ejpam-3199	250	27	λibi	λibi	NOUN
ejpam-3199	250	28	.	.	PUNCT
ejpam-3199	251	1	we	we	PRON
ejpam-3199	251	2	then	then	ADV
ejpam-3199	251	3	diagonalize	diagonalize	VERB
ejpam-3199	251	4	the	the	DET
ejpam-3199	251	5	matrix	matrix	NOUN
ejpam-3199	251	6	corresponding	correspond	VERB
ejpam-3199	251	7	to	to	PART
ejpam-3199	251	8	ψ′λ(σ1	ψ′λ(σ1	VERB
ejpam-3199	251	9	)	)	PUNCT
ejpam-3199	251	10	by	by	ADP
ejpam-3199	251	11	an	an	DET
ejpam-3199	251	12	invertible	invertible	ADJ
ejpam-3199	251	13	matrix	matrix	NOUN
ejpam-3199	251	14	,	,	PUNCT
ejpam-3199	251	15	say	say	VERB
ejpam-3199	251	16	t	t	NOUN
ejpam-3199	251	17	,	,	PUNCT
ejpam-3199	251	18	and	and	CCONJ
ejpam-3199	251	19	conjugate	conjugate	VERB
ejpam-3199	251	20	the	the	DET
ejpam-3199	251	21	matrices	matrix	NOUN
ejpam-3199	251	22	of	of	ADP
ejpam-3199	251	23	ψ′λ(σ2	ψ′λ(σ2	PROPN
ejpam-3199	251	24	)	)	PUNCT
ejpam-3199	251	25	,	,	PUNCT
ejpam-3199	251	26	ψ	ψ	ADP
ejpam-3199	251	27	′	′	NUM
ejpam-3199	251	28	λ(σ3),ψ	λ(σ3),ψ	ADJ
ejpam-3199	251	29	′	′	NUM
ejpam-3199	251	30	λ(σ4	λ(σ4	NOUN
ejpam-3199	251	31	)	)	PUNCT
ejpam-3199	251	32	and	and	CCONJ
ejpam-3199	251	33	ψ′λ(δ	ψ′λ(δ	VERB
ejpam-3199	251	34	)	)	PUNCT
ejpam-3199	251	35	by	by	ADP
ejpam-3199	251	36	the	the	DET
ejpam-3199	251	37	same	same	ADJ
ejpam-3199	251	38	matrix	matrix	NOUN
ejpam-3199	251	39	t	t	NOUN
ejpam-3199	251	40	.	.	PUNCT
ejpam-3199	252	1	the	the	DET
ejpam-3199	252	2	invertible	invertible	ADJ
ejpam-3199	252	3	matrix	matrix	NOUN
ejpam-3199	252	4	t	t	NOUN
ejpam-3199	252	5	is	be	AUX
ejpam-3199	252	6	given	give	VERB
ejpam-3199	252	7	by	by	ADP
ejpam-3199	252	8	t	t	NOUN
ejpam-3199	252	9	=	=	PUNCT
ejpam-3199	252	10			NOUN
ejpam-3199	252	11	0	0	NUM
ejpam-3199	252	12	0	0	SYM
ejpam-3199	252	13	0	0	NUM
ejpam-3199	252	14	1	1	NUM
ejpam-3199	252	15	t	t	NOUN
ejpam-3199	252	16	0	0	NUM
ejpam-3199	252	17	0	0	NUM
ejpam-3199	252	18	0	0	NUM
ejpam-3199	252	19	0	0	NUM
ejpam-3199	252	20	−1−	−1−	PROPN
ejpam-3199	252	21	t	t	PROPN
ejpam-3199	252	22	0	0	NUM
ejpam-3199	252	23	0	0	NUM
ejpam-3199	252	24	1	1	NUM
ejpam-3199	252	25	0	0	NUM
ejpam-3199	252	26	1	1	NUM
ejpam-3199	252	27	0	0	NUM
ejpam-3199	252	28	1	1	NUM
ejpam-3199	252	29	0	0	NUM
ejpam-3199	252	30	0	0	NUM
ejpam-3199	252	31	0	0	NUM
ejpam-3199	252	32	1	1	NUM
ejpam-3199	252	33	0	0	NUM
ejpam-3199	252	34	0	0	NUM
ejpam-3199	252	35	0	0	NUM
ejpam-3199	252	36	0	0	NUM
ejpam-3199	252	37			NOUN
ejpam-3199	252	38	.	.	PUNCT
ejpam-3199	253	1	in	in	ADP
ejpam-3199	253	2	fact	fact	NOUN
ejpam-3199	253	3	,	,	PUNCT
ejpam-3199	253	4	a	a	DET
ejpam-3199	253	5	computation	computation	NOUN
ejpam-3199	253	6	shows	show	VERB
ejpam-3199	253	7	that	that	SCONJ
ejpam-3199	253	8	t−1ψ′λ(σ1)t	t−1ψ′λ(σ1)t	PRON
ejpam-3199	253	9	=	=	PUNCT
ejpam-3199	253	10			NOUN
ejpam-3199	253	11	1	1	NUM
ejpam-3199	253	12	0	0	NUM
ejpam-3199	253	13	0	0	NUM
ejpam-3199	253	14	0	0	NUM
ejpam-3199	253	15	0	0	NUM
ejpam-3199	253	16	0	0	NUM
ejpam-3199	253	17	1	1	NUM
ejpam-3199	253	18	0	0	NUM
ejpam-3199	253	19	0	0	NUM
ejpam-3199	253	20	0	0	NUM
ejpam-3199	253	21	0	0	NUM
ejpam-3199	253	22	0	0	NUM
ejpam-3199	253	23	1	1	NUM
ejpam-3199	253	24	0	0	NUM
ejpam-3199	253	25	0	0	NUM
ejpam-3199	253	26	0	0	NUM
ejpam-3199	253	27	0	0	NUM
ejpam-3199	253	28	0	0	NUM
ejpam-3199	253	29	1	1	NUM
ejpam-3199	253	30	0	0	NUM
ejpam-3199	253	31	0	0	NUM
ejpam-3199	253	32	0	0	NUM
ejpam-3199	253	33	0	0	NUM
ejpam-3199	253	34	0	0	NUM
ejpam-3199	253	35	−t	−t	NOUN
ejpam-3199	253	36			NOUN
ejpam-3199	253	37	.	.	PUNCT
ejpam-3199	254	1	after	after	ADP
ejpam-3199	254	2	conjugation	conjugation	NOUN
ejpam-3199	254	3	,	,	PUNCT
ejpam-3199	254	4	we	we	PRON
ejpam-3199	254	5	get	get	VERB
ejpam-3199	254	6	t−1ψ′λ(σ2)t	t−1ψ′λ(σ2)t	NOUN
ejpam-3199	254	7	=	=	PUNCT
ejpam-3199	254	8			NOUN
ejpam-3199	254	9	1	1	NUM
ejpam-3199	254	10	0	0	NUM
ejpam-3199	254	11	0	0	NUM
ejpam-3199	254	12	0	0	NUM
ejpam-3199	254	13	0	0	NUM
ejpam-3199	254	14	0	0	NUM
ejpam-3199	254	15	1	1	NUM
ejpam-3199	254	16	1	1	NUM
ejpam-3199	254	17	0	0	NUM
ejpam-3199	254	18	1	1	NUM
ejpam-3199	254	19	0	0	NUM
ejpam-3199	254	20	0	0	NUM
ejpam-3199	255	1	−t2	−t2	PROPN
ejpam-3199	255	2	1+t	1+t	NUM
ejpam-3199	255	3	0	0	NUM
ejpam-3199	255	4	−(1+t+t2	−(1+t+t2	NOUN
ejpam-3199	255	5	)	)	PUNCT
ejpam-3199	255	6	1+t	1+t	NUM
ejpam-3199	255	7	0	0	NUM
ejpam-3199	255	8	0	0	NUM
ejpam-3199	255	9	t(b2+b1t+b2	t(b2+b1t+b2	NUM
ejpam-3199	255	10	t	t	PROPN
ejpam-3199	255	11	)	)	PUNCT
ejpam-3199	255	12	b1(1+t	b1(1+t	PROPN
ejpam-3199	255	13	)	)	PUNCT
ejpam-3199	255	14	1	1	NUM
ejpam-3199	255	15	t(b2+b1t+b2	t(b2+b1t+b2	NUM
ejpam-3199	255	16	t	t	NOUN
ejpam-3199	255	17	)	)	PUNCT
ejpam-3199	255	18	b1(1+t	b1(1+t	PROPN
ejpam-3199	255	19	)	)	PUNCT
ejpam-3199	255	20	0	0	NUM
ejpam-3199	255	21	0	0	NUM
ejpam-3199	256	1	−t	−t	NOUN
ejpam-3199	256	2	1+t	1+t	NUM
ejpam-3199	256	3	0	0	NUM
ejpam-3199	256	4	1	1	NUM
ejpam-3199	256	5	1+t	1+t	NUM
ejpam-3199	256	6			NOUN
ejpam-3199	256	7	,	,	PUNCT
ejpam-3199	256	8	m.	m.	NOUN
ejpam-3199	256	9	dally	dally	ADV
ejpam-3199	256	10	,	,	PUNCT
ejpam-3199	256	11	m.	m.	NOUN
ejpam-3199	256	12	abdulrahim	abdulrahim	PROPN
ejpam-3199	256	13	/	/	SYM
ejpam-3199	256	14	eur	eur	PROPN
ejpam-3199	256	15	.	.	PUNCT
ejpam-3199	257	1	j.	j.	PROPN
ejpam-3199	257	2	pure	pure	PROPN
ejpam-3199	257	3	appl	appl	PROPN
ejpam-3199	257	4	.	.	PROPN
ejpam-3199	257	5	math	math	PROPN
ejpam-3199	257	6	,	,	PUNCT
ejpam-3199	257	7	11	11	NUM
ejpam-3199	257	8	(	(	PUNCT
ejpam-3199	257	9	1	1	NUM
ejpam-3199	257	10	)	)	PUNCT
ejpam-3199	257	11	(	(	PUNCT
ejpam-3199	257	12	2018	2018	NUM
ejpam-3199	257	13	)	)	PUNCT
ejpam-3199	257	14	,	,	PUNCT
ejpam-3199	257	15	215	215	NUM
ejpam-3199	257	16	-	-	SYM
ejpam-3199	257	17	237	237	NUM
ejpam-3199	257	18	232	232	NUM
ejpam-3199	258	1	t−1ψ′λ(σ3)t	t−1ψ′λ(σ3)t	PRON
ejpam-3199	258	2	=	=	PUNCT
ejpam-3199	258	3			NOUN
ejpam-3199	258	4	1	1	NUM
ejpam-3199	258	5	1	1	NUM
ejpam-3199	258	6	0	0	NUM
ejpam-3199	258	7	0	0	NUM
ejpam-3199	258	8	0	0	NUM
ejpam-3199	258	9	0	0	NUM
ejpam-3199	258	10	−t	−t	NOUN
ejpam-3199	258	11	0	0	NUM
ejpam-3199	258	12	0	0	NUM
ejpam-3199	258	13	0	0	NUM
ejpam-3199	258	14	0	0	NUM
ejpam-3199	258	15	t	t	PROPN
ejpam-3199	258	16	1	1	NUM
ejpam-3199	258	17	0	0	NUM
ejpam-3199	258	18	0	0	NUM
ejpam-3199	258	19	0	0	NUM
ejpam-3199	258	20	tb3	tb3	NOUN
ejpam-3199	258	21	b1	b1	NOUN
ejpam-3199	258	22	0	0	NUM
ejpam-3199	258	23	1	1	NUM
ejpam-3199	258	24	0	0	NUM
ejpam-3199	258	25	0	0	NUM
ejpam-3199	258	26	0	0	NUM
ejpam-3199	258	27	0	0	NUM
ejpam-3199	258	28	0	0	NUM
ejpam-3199	258	29	1	1	NUM
ejpam-3199	258	30			NOUN
ejpam-3199	258	31	,	,	PUNCT
ejpam-3199	258	32	t−1ψ′λ(σ4)t	t−1ψ′λ(σ4)t	NOUN
ejpam-3199	258	33	=	=	NOUN
ejpam-3199	258	34			NOUN
ejpam-3199	258	35	−t	−t	NOUN
ejpam-3199	258	36	0	0	NUM
ejpam-3199	258	37	0	0	NUM
ejpam-3199	258	38	0	0	NUM
ejpam-3199	258	39	0	0	NUM
ejpam-3199	258	40	t	t	PROPN
ejpam-3199	258	41	1	1	NUM
ejpam-3199	258	42	0	0	NUM
ejpam-3199	258	43	0	0	NUM
ejpam-3199	258	44	0	0	NUM
ejpam-3199	258	45	0	0	NUM
ejpam-3199	258	46	0	0	NUM
ejpam-3199	258	47	1	1	NUM
ejpam-3199	258	48	0	0	NUM
ejpam-3199	258	49	0	0	NUM
ejpam-3199	258	50	tb4	tb4	VERB
ejpam-3199	258	51	b1	b1	NOUN
ejpam-3199	258	52	0	0	NUM
ejpam-3199	258	53	0	0	NUM
ejpam-3199	258	54	1	1	NUM
ejpam-3199	258	55	0	0	NUM
ejpam-3199	258	56	0	0	NUM
ejpam-3199	258	57	0	0	NUM
ejpam-3199	258	58	0	0	NUM
ejpam-3199	258	59	0	0	NUM
ejpam-3199	258	60	1	1	NUM
ejpam-3199	258	61			NOUN
ejpam-3199	258	62	,	,	PUNCT
ejpam-3199	258	63	and	and	CCONJ
ejpam-3199	258	64	t−1ψ′λ(δ)t	t−1ψ′λ(δ)t	NOUN
ejpam-3199	259	1	=	=	NOUN
ejpam-3199	259	2			ADJ
ejpam-3199	259	3	1	1	NUM
ejpam-3199	259	4	0	0	NUM
ejpam-3199	259	5	0	0	NUM
ejpam-3199	259	6	0	0	NUM
ejpam-3199	259	7	0	0	NUM
ejpam-3199	259	8	0	0	NUM
ejpam-3199	259	9	1	1	NUM
ejpam-3199	259	10	0	0	NUM
ejpam-3199	259	11	0	0	NUM
ejpam-3199	259	12	0	0	NUM
ejpam-3199	259	13	d4	d4	PROPN
ejpam-3199	259	14	1+t	1+t	NUM
ejpam-3199	259	15	−t	−t	NOUN
ejpam-3199	259	16	1	1	NUM
ejpam-3199	259	17	+	+	NUM
ejpam-3199	259	18	−(1+t+t2	−(1+t+t2	NOUN
ejpam-3199	259	19	)	)	PUNCT
ejpam-3199	259	20	1+t	1+t	NUM
ejpam-3199	259	21	b1	b1	NOUN
ejpam-3199	259	22	1+t	1+t	NUM
ejpam-3199	259	23	t	t	PROPN
ejpam-3199	259	24	1+t	1+t	NUM
ejpam-3199	259	25	d4	d4	PROPN
ejpam-3199	259	26	b1	b1	PROPN
ejpam-3199	259	27	w	w	PROPN
ejpam-3199	259	28	−t(1+t	−t(1+t	PROPN
ejpam-3199	259	29	)	)	PUNCT
ejpam-3199	259	30	b1	b1	NOUN
ejpam-3199	259	31	w	w	PROPN
ejpam-3199	259	32	−(1+t+t2	−(1+t+t2	PROPN
ejpam-3199	259	33	)	)	PUNCT
ejpam-3199	259	34	b1	b1	NOUN
ejpam-3199	259	35	w	w	ADP
ejpam-3199	259	36	1	1	NUM
ejpam-3199	259	37	+	+	NUM
ejpam-3199	259	38	w	w	PROPN
ejpam-3199	259	39	(	(	PUNCT
ejpam-3199	259	40	−d1(1+t)−(1+t+t2)+b1	−d1(1+t)−(1+t+t2)+b1	PROPN
ejpam-3199	259	41	t	t	PROPN
ejpam-3199	259	42	)	)	PUNCT
ejpam-3199	259	43	b1	b1	NOUN
ejpam-3199	259	44	w	w	PROPN
ejpam-3199	259	45	−d4	−d4	PROPN
ejpam-3199	259	46	1+t	1+t	NUM
ejpam-3199	259	47	t	t	PROPN
ejpam-3199	259	48	1+t+t2	1+t+t2	NUM
ejpam-3199	259	49	1+t	1+t	NUM
ejpam-3199	259	50	−b1	−b1	PROPN
ejpam-3199	259	51	1+t	1+t	NUM
ejpam-3199	259	52	1	1	NUM
ejpam-3199	259	53	1+t	1+t	NUM
ejpam-3199	259	54			NOUN
ejpam-3199	259	55	,	,	PUNCT
ejpam-3199	259	56	where	where	SCONJ
ejpam-3199	259	57	w	w	ADP
ejpam-3199	259	58	=	=	SYM
ejpam-3199	260	1	∑4	∑4	PROPN
ejpam-3199	260	2	i=1	i=1	PROPN
ejpam-3199	261	1	λibi	λibi	NOUN
ejpam-3199	261	2	+	+	CCONJ
ejpam-3199	261	3	b1	b1	PROPN
ejpam-3199	261	4	t	t	PROPN
ejpam-3199	261	5	1+t	1+t	NUM
ejpam-3199	261	6	.	.	PUNCT
ejpam-3199	262	1	the	the	DET
ejpam-3199	262	2	entries	entry	NOUN
ejpam-3199	262	3	of	of	ADP
ejpam-3199	262	4	the	the	DET
ejpam-3199	262	5	matrices	matrix	NOUN
ejpam-3199	262	6	t−1ψ′λ(σ2)t	t−1ψ′λ(σ2)t	PRON
ejpam-3199	262	7	,	,	PUNCT
ejpam-3199	262	8	t−1ψ′λ(σ3)t	t−1ψ′λ(σ3)t	PRON
ejpam-3199	262	9	,	,	PUNCT
ejpam-3199	262	10	t−1ψ′λ(σ4)t	t−1ψ′λ(σ4)t	NOUN
ejpam-3199	262	11	and	and	CCONJ
ejpam-3199	262	12	t−1ψ′λ(δ)t	t−1ψ′λ(δ)t	NOUN
ejpam-3199	262	13	are	be	AUX
ejpam-3199	262	14	well	well	ADV
ejpam-3199	262	15	-	-	PUNCT
ejpam-3199	262	16	defined	define	VERB
ejpam-3199	262	17	since	since	SCONJ
ejpam-3199	262	18	we	we	PRON
ejpam-3199	262	19	assume	assume	VERB
ejpam-3199	262	20	in	in	ADP
ejpam-3199	262	21	our	our	PRON
ejpam-3199	262	22	work	work	NOUN
ejpam-3199	262	23	that	that	PRON
ejpam-3199	262	24	t	t	PROPN
ejpam-3199	262	25	6=	6=	ADP
ejpam-3199	262	26	−1	−1	NOUN
ejpam-3199	262	27	.	.	PUNCT
ejpam-3199	263	1	for	for	ADP
ejpam-3199	263	2	simplicity	simplicity	NOUN
ejpam-3199	263	3	,	,	PUNCT
ejpam-3199	263	4	we	we	PRON
ejpam-3199	263	5	denote	denote	VERB
ejpam-3199	263	6	t−1ψ′λ(σ1)t	t−1ψ′λ(σ1)t	ADP
ejpam-3199	263	7	by	by	ADP
ejpam-3199	263	8	ψ′λ(σ1	ψ′λ(σ1	NOUN
ejpam-3199	263	9	)	)	PUNCT
ejpam-3199	263	10	,	,	PUNCT
ejpam-3199	263	11	t	t	PROPN
ejpam-3199	263	12	−1ψ′λ(σ2)t	−1ψ′λ(σ2)t	ADV
ejpam-3199	263	13	by	by	ADP
ejpam-3199	263	14	ψ′λ(σ2	ψ′λ(σ2	NOUN
ejpam-3199	263	15	)	)	PUNCT
ejpam-3199	263	16	,	,	PUNCT
ejpam-3199	263	17	t	t	PROPN
ejpam-3199	263	18	−1ψ′λ(σ3)t	−1ψ′λ(σ3)t	NUM
ejpam-3199	263	19	by	by	ADP
ejpam-3199	263	20	ψ′λ(σ3	ψ′λ(σ3	NOUN
ejpam-3199	263	21	)	)	PUNCT
ejpam-3199	263	22	,	,	PUNCT
ejpam-3199	263	23	t−1ψ′λ(σ4)t	t−1ψ′λ(σ4)t	NOUN
ejpam-3199	263	24	by	by	ADP
ejpam-3199	263	25	ψ′λ(σ4	ψ′λ(σ4	NOUN
ejpam-3199	263	26	)	)	PUNCT
ejpam-3199	263	27	,	,	PUNCT
ejpam-3199	263	28	and	and	CCONJ
ejpam-3199	263	29	t−1ψ′λ(δ)t	t−1ψ′λ(δ)t	NOUN
ejpam-3199	263	30	by	by	ADP
ejpam-3199	263	31	ψ′λ(δ	ψ′λ(δ	NOUN
ejpam-3199	263	32	)	)	PUNCT
ejpam-3199	263	33	.	.	PUNCT
ejpam-3199	264	1	we	we	PRON
ejpam-3199	264	2	now	now	ADV
ejpam-3199	264	3	prove	prove	VERB
ejpam-3199	264	4	some	some	DET
ejpam-3199	264	5	lemmas	lemma	NOUN
ejpam-3199	264	6	and	and	CCONJ
ejpam-3199	264	7	propositions	proposition	NOUN
ejpam-3199	264	8	to	to	PART
ejpam-3199	264	9	determine	determine	VERB
ejpam-3199	264	10	a	a	DET
ejpam-3199	264	11	sufficient	sufficient	ADJ
ejpam-3199	264	12	and	and	CCONJ
ejpam-3199	264	13	necessary	necessary	ADJ
ejpam-3199	264	14	condition	condition	NOUN
ejpam-3199	264	15	for	for	ADP
ejpam-3199	264	16	irreducibility	irreducibility	NOUN
ejpam-3199	264	17	of	of	ADP
ejpam-3199	264	18	ψ′λ	ψ′λ	PROPN
ejpam-3199	264	19	:	:	PUNCT
ejpam-3199	264	20	a(e5,1)→	a(e5,1)→	NOUN
ejpam-3199	264	21	gl5(c	gl5(c	PROPN
ejpam-3199	264	22	)	)	PUNCT
ejpam-3199	264	23	.	.	PUNCT
ejpam-3199	265	1	lemma	lemma	PROPN
ejpam-3199	265	2	5	5	NUM
ejpam-3199	265	3	.	.	PUNCT
ejpam-3199	265	4	except	except	SCONJ
ejpam-3199	265	5	possibly	possibly	ADV
ejpam-3199	265	6	the	the	DET
ejpam-3199	265	7	subspaces	subspace	NOUN
ejpam-3199	265	8	having	have	VERB
ejpam-3199	265	9	the	the	DET
ejpam-3199	265	10	forms	form	NOUN
ejpam-3199	265	11	〈	〈	NOUN
ejpam-3199	265	12	e1	e1	NOUN
ejpam-3199	265	13	,	,	PUNCT
ejpam-3199	265	14	e3	e3	NOUN
ejpam-3199	265	15	,	,	PUNCT
ejpam-3199	265	16	e5	e5	PROPN
ejpam-3199	265	17	,	,	PUNCT
ejpam-3199	265	18	e2	e2	PROPN
ejpam-3199	265	19	+	+	CCONJ
ejpam-3199	265	20	ue4	ue4	PROPN
ejpam-3199	265	21	〉	〉	PROPN
ejpam-3199	265	22	and	and	CCONJ
ejpam-3199	265	23	〈	〈	PROPN
ejpam-3199	265	24	e2	e2	PROPN
ejpam-3199	265	25	,	,	PUNCT
ejpam-3199	265	26	e3	e3	NOUN
ejpam-3199	265	27	,	,	PUNCT
ejpam-3199	265	28	e5	e5	NOUN
ejpam-3199	265	29	,	,	PUNCT
ejpam-3199	265	30	e1	e1	PROPN
ejpam-3199	265	31	+	+	CCONJ
ejpam-3199	265	32	ue4	ue4	PROPN
ejpam-3199	265	33	〉	〉	NUM
ejpam-3199	265	34	,	,	PUNCT
ejpam-3199	265	35	where	where	SCONJ
ejpam-3199	265	36	u	u	PROPN
ejpam-3199	265	37	∈	∈	PROPN
ejpam-3199	265	38	c∗	c∗	NOUN
ejpam-3199	265	39	,	,	PUNCT
ejpam-3199	265	40	every	every	DET
ejpam-3199	265	41	proper	proper	ADJ
ejpam-3199	265	42	subspace	subspace	NOUN
ejpam-3199	265	43	is	be	AUX
ejpam-3199	265	44	not	not	PART
ejpam-3199	265	45	invariant	invariant	ADJ
ejpam-3199	265	46	.	.	PUNCT
ejpam-3199	265	47	m.	m.	PROPN
ejpam-3199	265	48	dally	dally	ADV
ejpam-3199	265	49	,	,	PUNCT
ejpam-3199	265	50	m.	m.	NOUN
ejpam-3199	265	51	abdulrahim	abdulrahim	PROPN
ejpam-3199	265	52	/	/	SYM
ejpam-3199	265	53	eur	eur	PROPN
ejpam-3199	265	54	.	.	PUNCT
ejpam-3199	266	1	j.	j.	PROPN
ejpam-3199	266	2	pure	pure	PROPN
ejpam-3199	266	3	appl	appl	PROPN
ejpam-3199	266	4	.	.	PROPN
ejpam-3199	266	5	math	math	PROPN
ejpam-3199	266	6	,	,	PUNCT
ejpam-3199	266	7	11	11	NUM
ejpam-3199	266	8	(	(	PUNCT
ejpam-3199	266	9	1	1	NUM
ejpam-3199	266	10	)	)	PUNCT
ejpam-3199	266	11	(	(	PUNCT
ejpam-3199	266	12	2018	2018	NUM
ejpam-3199	266	13	)	)	PUNCT
ejpam-3199	266	14	,	,	PUNCT
ejpam-3199	266	15	215	215	NUM
ejpam-3199	266	16	-	-	SYM
ejpam-3199	266	17	237	237	NUM
ejpam-3199	266	18	233	233	NUM
ejpam-3199	266	19	proof	proof	NOUN
ejpam-3199	266	20	.	.	PUNCT
ejpam-3199	267	1	we	we	PRON
ejpam-3199	267	2	assume	assume	VERB
ejpam-3199	267	3	,	,	PUNCT
ejpam-3199	267	4	for	for	ADP
ejpam-3199	267	5	contradiction	contradiction	NOUN
ejpam-3199	267	6	,	,	PUNCT
ejpam-3199	267	7	that	that	SCONJ
ejpam-3199	267	8	every	every	DET
ejpam-3199	267	9	subspace	subspace	NOUN
ejpam-3199	267	10	,	,	PUNCT
ejpam-3199	267	11	except	except	SCONJ
ejpam-3199	267	12	those	those	PRON
ejpam-3199	267	13	having	have	VERB
ejpam-3199	267	14	the	the	DET
ejpam-3199	267	15	forms	form	NOUN
ejpam-3199	267	16	〈	〈	NOUN
ejpam-3199	267	17	e1	e1	NOUN
ejpam-3199	267	18	,	,	PUNCT
ejpam-3199	267	19	e3	e3	NOUN
ejpam-3199	267	20	,	,	PUNCT
ejpam-3199	267	21	e5	e5	PROPN
ejpam-3199	267	22	,	,	PUNCT
ejpam-3199	267	23	e2	e2	PROPN
ejpam-3199	267	24	+	+	CCONJ
ejpam-3199	267	25	ue4	ue4	PROPN
ejpam-3199	267	26	〉	〉	PROPN
ejpam-3199	267	27	and	and	CCONJ
ejpam-3199	267	28	〈	〈	PROPN
ejpam-3199	267	29	e2	e2	PROPN
ejpam-3199	267	30	,	,	PUNCT
ejpam-3199	267	31	e3	e3	NOUN
ejpam-3199	267	32	,	,	PUNCT
ejpam-3199	267	33	e5	e5	NOUN
ejpam-3199	267	34	,	,	PUNCT
ejpam-3199	267	35	e1	e1	PROPN
ejpam-3199	267	36	+	+	CCONJ
ejpam-3199	267	37	ue4	ue4	PROPN
ejpam-3199	267	38	〉	〉	NUM
ejpam-3199	267	39	,	,	PUNCT
ejpam-3199	267	40	is	be	AUX
ejpam-3199	267	41	invariant	invariant	ADJ
ejpam-3199	267	42	.	.	PUNCT
ejpam-3199	268	1	we	we	PRON
ejpam-3199	268	2	then	then	ADV
ejpam-3199	268	3	study	study	VERB
ejpam-3199	268	4	each	each	DET
ejpam-3199	268	5	possible	possible	ADJ
ejpam-3199	268	6	form	form	NOUN
ejpam-3199	268	7	.	.	PUNCT
ejpam-3199	269	1	in	in	ADP
ejpam-3199	269	2	each	each	DET
ejpam-3199	269	3	case	case	NOUN
ejpam-3199	269	4	,	,	PUNCT
ejpam-3199	269	5	simple	simple	ADJ
ejpam-3199	269	6	computations	computation	NOUN
ejpam-3199	269	7	give	give	VERB
ejpam-3199	269	8	a	a	DET
ejpam-3199	269	9	contradiction	contradiction	NOUN
ejpam-3199	269	10	.	.	PUNCT
ejpam-3199	270	1	lemma	lemma	PROPN
ejpam-3199	270	2	6	6	NUM
ejpam-3199	270	3	.	.	PUNCT
ejpam-3199	271	1	if	if	SCONJ
ejpam-3199	271	2	t3	t3	PROPN
ejpam-3199	271	3	6=	6=	SYM
ejpam-3199	271	4	−1	−1	NOUN
ejpam-3199	271	5	,	,	PUNCT
ejpam-3199	271	6	then	then	ADV
ejpam-3199	271	7	the	the	DET
ejpam-3199	271	8	subspaces	subspace	NOUN
ejpam-3199	271	9	〈	〈	PROPN
ejpam-3199	271	10	e1	e1	NOUN
ejpam-3199	271	11	,	,	PUNCT
ejpam-3199	271	12	e3	e3	NOUN
ejpam-3199	271	13	,	,	PUNCT
ejpam-3199	271	14	e5	e5	PROPN
ejpam-3199	271	15	,	,	PUNCT
ejpam-3199	271	16	e2	e2	PROPN
ejpam-3199	271	17	+	+	CCONJ
ejpam-3199	271	18	ue4	ue4	PROPN
ejpam-3199	271	19	〉	〉	PROPN
ejpam-3199	271	20	and	and	CCONJ
ejpam-3199	271	21	〈	〈	PROPN
ejpam-3199	271	22	e2	e2	PROPN
ejpam-3199	271	23	,	,	PUNCT
ejpam-3199	271	24	e3	e3	NOUN
ejpam-3199	271	25	,	,	PUNCT
ejpam-3199	271	26	e5	e5	NOUN
ejpam-3199	271	27	,	,	PUNCT
ejpam-3199	271	28	e1	e1	PROPN
ejpam-3199	271	29	+	+	CCONJ
ejpam-3199	271	30	ue4	ue4	NOUN
ejpam-3199	271	31	〉	〉	NOUN
ejpam-3199	271	32	are	be	AUX
ejpam-3199	271	33	not	not	PART
ejpam-3199	271	34	invariant	invariant	ADJ
ejpam-3199	271	35	.	.	PUNCT
ejpam-3199	272	1	proof	proof	NOUN
ejpam-3199	272	2	.	.	PUNCT
ejpam-3199	273	1	first	first	ADV
ejpam-3199	273	2	,	,	PUNCT
ejpam-3199	273	3	we	we	PRON
ejpam-3199	273	4	assume	assume	VERB
ejpam-3199	273	5	,	,	PUNCT
ejpam-3199	273	6	for	for	ADP
ejpam-3199	273	7	contradiction	contradiction	NOUN
ejpam-3199	273	8	,	,	PUNCT
ejpam-3199	273	9	that	that	PRON
ejpam-3199	273	10	s	s	VERB
ejpam-3199	273	11	=	=	SYM
ejpam-3199	273	12	〈	〈	PROPN
ejpam-3199	273	13	e1	e1	PROPN
ejpam-3199	273	14	,	,	PUNCT
ejpam-3199	273	15	e3	e3	NOUN
ejpam-3199	273	16	,	,	PUNCT
ejpam-3199	273	17	e5	e5	PROPN
ejpam-3199	273	18	,	,	PUNCT
ejpam-3199	273	19	e2	e2	PROPN
ejpam-3199	273	20	+	+	CCONJ
ejpam-3199	273	21	ue4	ue4	PROPN
ejpam-3199	273	22	〉	〉	NOUN
ejpam-3199	273	23	is	be	AUX
ejpam-3199	273	24	invariant	invariant	ADJ
ejpam-3199	273	25	.	.	PUNCT
ejpam-3199	273	26	•	•	NUM
ejpam-3199	273	27	ψ′λσ4(e1	ψ′λσ4(e1	PROPN
ejpam-3199	273	28	)	)	PUNCT
ejpam-3199	274	1	=	=	PUNCT
ejpam-3199	274	2			NOUN
ejpam-3199	274	3	−t	−t	PROPN
ejpam-3199	274	4	t	t	PROPN
ejpam-3199	274	5	0	0	NUM
ejpam-3199	274	6	tb4	tb4	VERB
ejpam-3199	274	7	b1	b1	NOUN
ejpam-3199	274	8	0	0	NUM
ejpam-3199	274	9			PUNCT
ejpam-3199	275	1	=	=	SYM
ejpam-3199	275	2	ae1	ae1	PROPN
ejpam-3199	275	3	+	+	NUM
ejpam-3199	275	4	be3	be3	PROPN
ejpam-3199	275	5	+	+	CCONJ
ejpam-3199	275	6	ce5	ce5	PROPN
ejpam-3199	275	7	+	+	CCONJ
ejpam-3199	275	8	d(e2	d(e2	X
ejpam-3199	275	9	+	+	CCONJ
ejpam-3199	275	10	ue4	ue4	NOUN
ejpam-3199	275	11	)	)	PUNCT
ejpam-3199	275	12	which	which	PRON
ejpam-3199	275	13	implies	imply	VERB
ejpam-3199	275	14	that	that	SCONJ
ejpam-3199	275	15	u	u	PROPN
ejpam-3199	275	16	=	=	PROPN
ejpam-3199	275	17	b4	b4	PROPN
ejpam-3199	275	18	b1	b1	NOUN
ejpam-3199	275	19	.	.	PUNCT
ejpam-3199	276	1	(	(	PUNCT
ejpam-3199	276	2	7.1	7.1	NUM
ejpam-3199	276	3	)	)	PUNCT
ejpam-3199	276	4	•	•	NOUN
ejpam-3199	276	5	ψ′λσ2(e3	ψ′λσ2(e3	PROPN
ejpam-3199	276	6	)	)	PUNCT
ejpam-3199	277	1	=	=	PUNCT
ejpam-3199	277	2			NOUN
ejpam-3199	277	3	0	0	NUM
ejpam-3199	277	4	1	1	NUM
ejpam-3199	277	5	−t2	−t2	PROPN
ejpam-3199	277	6	1+t	1+t	NUM
ejpam-3199	277	7	t(b1t+b2+b2	t(b1t+b2+b2	NOUN
ejpam-3199	277	8	t	t	NOUN
ejpam-3199	277	9	)	)	PUNCT
ejpam-3199	277	10	b1(1+t	b1(1+t	PROPN
ejpam-3199	277	11	)	)	PUNCT
ejpam-3199	277	12	−t	−t	NOUN
ejpam-3199	277	13	1+t	1+t	NUM
ejpam-3199	277	14			PUNCT
ejpam-3199	277	15	=	=	SYM
ejpam-3199	277	16	ae1	ae1	PROPN
ejpam-3199	278	1	+	+	NUM
ejpam-3199	278	2	be3	be3	PROPN
ejpam-3199	278	3	+	+	CCONJ
ejpam-3199	278	4	ce5	ce5	PROPN
ejpam-3199	279	1	+	+	CCONJ
ejpam-3199	279	2	d(e2	d(e2	X
ejpam-3199	280	1	+	+	CCONJ
ejpam-3199	280	2	ue4	ue4	NOUN
ejpam-3199	280	3	)	)	PUNCT
ejpam-3199	280	4	which	which	PRON
ejpam-3199	280	5	implies	imply	VERB
ejpam-3199	280	6	that	that	SCONJ
ejpam-3199	280	7	u	u	NOUN
ejpam-3199	280	8	=	=	PROPN
ejpam-3199	280	9	t(b1t+b2+b2	t(b1t+b2+b2	PROPN
ejpam-3199	280	10	t	t	PROPN
ejpam-3199	280	11	)	)	PUNCT
ejpam-3199	280	12	b1(1+t	b1(1+t	PROPN
ejpam-3199	280	13	)	)	PUNCT
ejpam-3199	280	14	.	.	PUNCT
ejpam-3199	281	1	(	(	PUNCT
ejpam-3199	281	2	7.2	7.2	NUM
ejpam-3199	281	3	)	)	PUNCT
ejpam-3199	281	4	•	•	NUM
ejpam-3199	281	5	ψ′λσ3(e2	ψ′λσ3(e2	PROPN
ejpam-3199	281	6	+	+	CCONJ
ejpam-3199	281	7	ue4	ue4	NOUN
ejpam-3199	281	8	)	)	PUNCT
ejpam-3199	282	1	=	=	PRON
ejpam-3199	282	2			VERB
ejpam-3199	282	3	1	1	NUM
ejpam-3199	282	4	−t	−t	PROPN
ejpam-3199	282	5	t	t	PROPN
ejpam-3199	282	6	u+	u+	NOUN
ejpam-3199	282	7	tb3	tb3	PROPN
ejpam-3199	282	8	b1	b1	NOUN
ejpam-3199	282	9	0	0	NUM
ejpam-3199	282	10			PUNCT
ejpam-3199	282	11	=	=	SYM
ejpam-3199	282	12	ae1	ae1	PROPN
ejpam-3199	282	13	+	+	NUM
ejpam-3199	282	14	be3	be3	PROPN
ejpam-3199	283	1	+	+	CCONJ
ejpam-3199	283	2	ce5	ce5	PROPN
ejpam-3199	283	3	+	+	CCONJ
ejpam-3199	283	4	d(e2	d(e2	X
ejpam-3199	284	1	+	+	CCONJ
ejpam-3199	284	2	ue4	ue4	NOUN
ejpam-3199	284	3	)	)	PUNCT
ejpam-3199	284	4	which	which	PRON
ejpam-3199	284	5	implies	imply	VERB
ejpam-3199	284	6	that	that	SCONJ
ejpam-3199	284	7	u	u	NOUN
ejpam-3199	284	8	=	=	SYM
ejpam-3199	284	9	−tb3	−tb3	NOUN
ejpam-3199	284	10	b1(1+t	b1(1+t	PROPN
ejpam-3199	284	11	)	)	PUNCT
ejpam-3199	284	12	.	.	PUNCT
ejpam-3199	285	1	(	(	PUNCT
ejpam-3199	285	2	7.3	7.3	NUM
ejpam-3199	285	3	)	)	PUNCT
ejpam-3199	285	4	since	since	SCONJ
ejpam-3199	285	5	equations	equation	NOUN
ejpam-3199	285	6	(	(	PUNCT
ejpam-3199	285	7	7.1	7.1	NUM
ejpam-3199	285	8	)	)	PUNCT
ejpam-3199	285	9	and	and	CCONJ
ejpam-3199	285	10	(	(	PUNCT
ejpam-3199	285	11	7.3	7.3	NUM
ejpam-3199	285	12	)	)	PUNCT
ejpam-3199	285	13	are	be	AUX
ejpam-3199	285	14	equal	equal	ADJ
ejpam-3199	285	15	,	,	PUNCT
ejpam-3199	285	16	we	we	PRON
ejpam-3199	285	17	have	have	VERB
ejpam-3199	285	18	(	(	PUNCT
ejpam-3199	285	19	1	1	NUM
ejpam-3199	285	20	+	+	NUM
ejpam-3199	285	21	t	t	NOUN
ejpam-3199	285	22	+	+	CCONJ
ejpam-3199	285	23	t2)d4	t2)d4	NUM
ejpam-3199	285	24	=	=	SYM
ejpam-3199	285	25	−t2(1	−t2(1	PROPN
ejpam-3199	285	26	+	+	NUM
ejpam-3199	285	27	t	t	NOUN
ejpam-3199	285	28	+	+	CCONJ
ejpam-3199	285	29	t2	t2	NOUN
ejpam-3199	285	30	)	)	PUNCT
ejpam-3199	285	31	.	.	PUNCT
ejpam-3199	286	1	thus	thus	ADV
ejpam-3199	286	2	,	,	PUNCT
ejpam-3199	286	3	d4	d4	PROPN
ejpam-3199	286	4	=	=	SYM
ejpam-3199	286	5	−t2	−t2	PROPN
ejpam-3199	286	6	.	.	PUNCT
ejpam-3199	287	1	moreover	moreover	ADV
ejpam-3199	287	2	,	,	PUNCT
ejpam-3199	287	3	equations	equation	NOUN
ejpam-3199	287	4	(	(	PUNCT
ejpam-3199	287	5	7.2	7.2	NUM
ejpam-3199	287	6	)	)	PUNCT
ejpam-3199	287	7	and	and	CCONJ
ejpam-3199	287	8	(	(	PUNCT
ejpam-3199	287	9	7.3	7.3	NUM
ejpam-3199	287	10	)	)	PUNCT
ejpam-3199	287	11	are	be	AUX
ejpam-3199	287	12	equal	equal	ADJ
ejpam-3199	287	13	.	.	PUNCT
ejpam-3199	288	1	this	this	PRON
ejpam-3199	288	2	implies	imply	VERB
ejpam-3199	288	3	that	that	SCONJ
ejpam-3199	288	4	d4	d4	PROPN
ejpam-3199	288	5	=	=	PROPN
ejpam-3199	288	6	−(1+t2)2+t2	−(1+t2)2+t2	PROPN
ejpam-3199	288	7	.	.	PUNCT
ejpam-3199	289	1	by	by	ADP
ejpam-3199	289	2	substituting	substitute	VERB
ejpam-3199	289	3	d4	d4	PROPN
ejpam-3199	289	4	=	=	SYM
ejpam-3199	289	5	−t2	−t2	PROPN
ejpam-3199	289	6	,	,	PUNCT
ejpam-3199	289	7	we	we	PRON
ejpam-3199	289	8	get	get	VERB
ejpam-3199	289	9	t4	t4	PROPN
ejpam-3199	289	10	+	+	CCONJ
ejpam-3199	289	11	t3	t3	PROPN
ejpam-3199	289	12	+	+	CCONJ
ejpam-3199	289	13	t+1	t+1	PROPN
ejpam-3199	289	14	=	=	SYM
ejpam-3199	289	15	(	(	PUNCT
ejpam-3199	289	16	t+1)(t3	t+1)(t3	VERB
ejpam-3199	289	17	+1	+1	PROPN
ejpam-3199	289	18	)	)	PUNCT
ejpam-3199	289	19	=	=	SYM
ejpam-3199	289	20	0	0	NUM
ejpam-3199	289	21	,	,	PUNCT
ejpam-3199	289	22	a	a	DET
ejpam-3199	289	23	contradiction	contradiction	NOUN
ejpam-3199	289	24	.	.	PUNCT
ejpam-3199	290	1	now	now	ADV
ejpam-3199	290	2	,	,	PUNCT
ejpam-3199	290	3	we	we	PRON
ejpam-3199	290	4	assume	assume	VERB
ejpam-3199	290	5	,	,	PUNCT
ejpam-3199	290	6	for	for	ADP
ejpam-3199	290	7	contradiction	contradiction	NOUN
ejpam-3199	290	8	,	,	PUNCT
ejpam-3199	290	9	that	that	PRON
ejpam-3199	290	10	s	s	VERB
ejpam-3199	290	11	=	=	SYM
ejpam-3199	290	12	〈	〈	PROPN
ejpam-3199	290	13	e2	e2	PROPN
ejpam-3199	290	14	,	,	PUNCT
ejpam-3199	290	15	e3	e3	NOUN
ejpam-3199	290	16	,	,	PUNCT
ejpam-3199	290	17	e5	e5	NOUN
ejpam-3199	290	18	,	,	PUNCT
ejpam-3199	290	19	e1	e1	PROPN
ejpam-3199	290	20	+	+	CCONJ
ejpam-3199	290	21	ue4	ue4	PROPN
ejpam-3199	290	22	〉	〉	NOUN
ejpam-3199	290	23	is	be	AUX
ejpam-3199	290	24	invariant	invariant	ADJ
ejpam-3199	290	25	.	.	PUNCT
ejpam-3199	290	26	m.	m.	PROPN
ejpam-3199	290	27	dally	dally	ADV
ejpam-3199	290	28	,	,	PUNCT
ejpam-3199	290	29	m.	m.	NOUN
ejpam-3199	290	30	abdulrahim	abdulrahim	PROPN
ejpam-3199	290	31	/	/	SYM
ejpam-3199	290	32	eur	eur	PROPN
ejpam-3199	290	33	.	.	PUNCT
ejpam-3199	291	1	j.	j.	PROPN
ejpam-3199	291	2	pure	pure	PROPN
ejpam-3199	291	3	appl	appl	PROPN
ejpam-3199	291	4	.	.	PROPN
ejpam-3199	291	5	math	math	PROPN
ejpam-3199	291	6	,	,	PUNCT
ejpam-3199	291	7	11	11	NUM
ejpam-3199	291	8	(	(	PUNCT
ejpam-3199	291	9	1	1	NUM
ejpam-3199	291	10	)	)	PUNCT
ejpam-3199	291	11	(	(	PUNCT
ejpam-3199	291	12	2018	2018	NUM
ejpam-3199	291	13	)	)	PUNCT
ejpam-3199	291	14	,	,	PUNCT
ejpam-3199	291	15	215	215	NUM
ejpam-3199	291	16	-	-	SYM
ejpam-3199	291	17	237	237	NUM
ejpam-3199	291	18	234	234	NUM
ejpam-3199	291	19	•	•	NOUN
ejpam-3199	291	20	ψ′λσ2(e3	ψ′λσ2(e3	PROPN
ejpam-3199	291	21	)	)	PUNCT
ejpam-3199	292	1	=	=	PUNCT
ejpam-3199	292	2			NOUN
ejpam-3199	292	3	0	0	NUM
ejpam-3199	292	4	1	1	NUM
ejpam-3199	292	5	−t2	−t2	PROPN
ejpam-3199	292	6	1+t	1+t	NUM
ejpam-3199	292	7	t(b1t+b2+b2	t(b1t+b2+b2	NOUN
ejpam-3199	292	8	t	t	NOUN
ejpam-3199	292	9	)	)	PUNCT
ejpam-3199	292	10	b1(1+t	b1(1+t	PROPN
ejpam-3199	292	11	)	)	PUNCT
ejpam-3199	292	12	−t	−t	NOUN
ejpam-3199	292	13	1+t	1+t	NUM
ejpam-3199	292	14			NOUN
ejpam-3199	292	15	=	=	SYM
ejpam-3199	293	1	ae2	ae2	PROPN
ejpam-3199	293	2	+	+	NUM
ejpam-3199	293	3	be3	be3	PROPN
ejpam-3199	294	1	+	+	CCONJ
ejpam-3199	294	2	ce5	ce5	NOUN
ejpam-3199	294	3	+	+	CCONJ
ejpam-3199	294	4	d(e1	d(e1	NOUN
ejpam-3199	294	5	+	+	CCONJ
ejpam-3199	294	6	ue4	ue4	NOUN
ejpam-3199	294	7	)	)	PUNCT
ejpam-3199	294	8	.	.	PUNCT
ejpam-3199	295	1	this	this	PRON
ejpam-3199	295	2	implies	imply	VERB
ejpam-3199	295	3	that	that	SCONJ
ejpam-3199	295	4	t(b1t+	t(b1t+	NOUN
ejpam-3199	295	5	b2	b2	NOUN
ejpam-3199	295	6	+	+	CCONJ
ejpam-3199	295	7	b2	b2	NOUN
ejpam-3199	295	8	t	t	NOUN
ejpam-3199	295	9	)	)	PUNCT
ejpam-3199	295	10	=	=	SYM
ejpam-3199	296	1	0	0	X
ejpam-3199	296	2	.	.	PUNCT
ejpam-3199	296	3	simple	simple	ADJ
ejpam-3199	296	4	computations	computation	NOUN
ejpam-3199	296	5	give	give	VERB
ejpam-3199	296	6	−(1	−(1	NOUN
ejpam-3199	296	7	+	+	NOUN
ejpam-3199	296	8	t+	t+	NOUN
ejpam-3199	296	9	t2)2	t2)2	ADP
ejpam-3199	296	10	+	+	PUNCT
ejpam-3199	296	11	t(1	t(1	NOUN
ejpam-3199	296	12	+	+	CCONJ
ejpam-3199	296	13	t)2	t)2	NOUN
ejpam-3199	296	14	+	+	CCONJ
ejpam-3199	296	15	t2	t2	NOUN
ejpam-3199	296	16	=	=	SYM
ejpam-3199	296	17	0	0	NUM
ejpam-3199	296	18	.	.	PUNCT
ejpam-3199	297	1	thus	thus	ADV
ejpam-3199	297	2	,	,	PUNCT
ejpam-3199	297	3	t4	t4	PROPN
ejpam-3199	297	4	+	+	PROPN
ejpam-3199	297	5	t3	t3	PROPN
ejpam-3199	297	6	+	+	CCONJ
ejpam-3199	297	7	t+1	t+1	PROPN
ejpam-3199	297	8	=	=	SYM
ejpam-3199	297	9	0	0	PROPN
ejpam-3199	297	10	,	,	PUNCT
ejpam-3199	297	11	a	a	DET
ejpam-3199	297	12	contradiction	contradiction	NOUN
ejpam-3199	297	13	.	.	PUNCT
ejpam-3199	298	1	we	we	PRON
ejpam-3199	298	2	now	now	ADV
ejpam-3199	298	3	determine	determine	VERB
ejpam-3199	298	4	conditions	condition	NOUN
ejpam-3199	298	5	under	under	ADP
ejpam-3199	298	6	which	which	PRON
ejpam-3199	298	7	one	one	NUM
ejpam-3199	298	8	of	of	ADP
ejpam-3199	298	9	the	the	DET
ejpam-3199	298	10	subspaces	subspace	NOUN
ejpam-3199	298	11	mentioned	mention	VERB
ejpam-3199	298	12	in	in	ADP
ejpam-3199	298	13	lemma	lemma	PROPN
ejpam-3199	298	14	7	7	NUM
ejpam-3199	298	15	is	be	AUX
ejpam-3199	298	16	invariant	invariant	ADJ
ejpam-3199	298	17	.	.	PUNCT
ejpam-3199	299	1	but	but	CCONJ
ejpam-3199	299	2	first	first	ADV
ejpam-3199	299	3	we	we	PRON
ejpam-3199	299	4	write	write	VERB
ejpam-3199	299	5	down	down	ADP
ejpam-3199	299	6	the	the	DET
ejpam-3199	299	7	following	follow	VERB
ejpam-3199	299	8	lemma	lemma	PROPN
ejpam-3199	299	9	.	.	PUNCT
ejpam-3199	300	1	lemma	lemma	PROPN
ejpam-3199	300	2	7	7	NUM
ejpam-3199	300	3	.	.	PUNCT
ejpam-3199	301	1	the	the	DET
ejpam-3199	301	2	proper	proper	ADJ
ejpam-3199	301	3	subspaces	subspace	NOUN
ejpam-3199	301	4	s1	s1	NOUN
ejpam-3199	301	5	=	=	SYM
ejpam-3199	301	6	〈	〈	PROPN
ejpam-3199	301	7	e1	e1	PROPN
ejpam-3199	301	8	,	,	PUNCT
ejpam-3199	301	9	e3	e3	NOUN
ejpam-3199	301	10	,	,	PUNCT
ejpam-3199	301	11	e5	e5	PROPN
ejpam-3199	301	12	,	,	PUNCT
ejpam-3199	301	13	e2	e2	PROPN
ejpam-3199	301	14	+	+	CCONJ
ejpam-3199	301	15	ue4	ue4	PROPN
ejpam-3199	301	16	〉	〉	PROPN
ejpam-3199	301	17	and	and	CCONJ
ejpam-3199	301	18	s2	s2	PROPN
ejpam-3199	301	19	=	=	SYM
ejpam-3199	301	20	〈	〈	PROPN
ejpam-3199	301	21	e2	e2	PROPN
ejpam-3199	301	22	,	,	PUNCT
ejpam-3199	301	23	e3	e3	NOUN
ejpam-3199	301	24	,	,	PUNCT
ejpam-3199	301	25	e5	e5	NOUN
ejpam-3199	301	26	,	,	PUNCT
ejpam-3199	301	27	e1	e1	PROPN
ejpam-3199	301	28	+	+	CCONJ
ejpam-3199	301	29	ue4	ue4	NOUN
ejpam-3199	301	30	〉	〉	NOUN
ejpam-3199	301	31	can	can	AUX
ejpam-3199	301	32	not	not	PART
ejpam-3199	301	33	be	be	AUX
ejpam-3199	301	34	both	both	PRON
ejpam-3199	301	35	invariant	invariant	ADJ
ejpam-3199	301	36	.	.	PUNCT
ejpam-3199	302	1	proof	proof	NOUN
ejpam-3199	302	2	.	.	PUNCT
ejpam-3199	303	1	assume	assume	VERB
ejpam-3199	303	2	that	that	SCONJ
ejpam-3199	303	3	s1	s1	NOUN
ejpam-3199	303	4	is	be	AUX
ejpam-3199	303	5	invariant	invariant	ADJ
ejpam-3199	303	6	.	.	PUNCT
ejpam-3199	304	1	this	this	PRON
ejpam-3199	304	2	implies	imply	VERB
ejpam-3199	304	3	that	that	SCONJ
ejpam-3199	304	4	ψ′λσ2(e3	ψ′λσ2(e3	PROPN
ejpam-3199	304	5	)	)	PUNCT
ejpam-3199	304	6	and	and	CCONJ
ejpam-3199	304	7	ψ′λσ3(e2	ψ′λσ3(e2	PROPN
ejpam-3199	304	8	+	+	CCONJ
ejpam-3199	304	9	ue4	ue4	NOUN
ejpam-3199	304	10	)	)	PUNCT
ejpam-3199	304	11	∈	∈	PROPN
ejpam-3199	304	12	s1	s1	NOUN
ejpam-3199	304	13	.	.	PUNCT
ejpam-3199	305	1	simple	simple	ADJ
ejpam-3199	305	2	computations	computation	NOUN
ejpam-3199	305	3	give	give	VERB
ejpam-3199	305	4	b1t+	b1t+	NOUN
ejpam-3199	305	5	b2	b2	NOUN
ejpam-3199	305	6	+	+	CCONJ
ejpam-3199	305	7	b2	b2	NOUN
ejpam-3199	305	8	t	t	NOUN
ejpam-3199	305	9	=	=	SYM
ejpam-3199	305	10	−b3	−b3	PROPN
ejpam-3199	305	11	6=	6=	ADP
ejpam-3199	305	12	0	0	X
ejpam-3199	305	13	.	.	PUNCT
ejpam-3199	306	1	assume	assume	VERB
ejpam-3199	306	2	,	,	PUNCT
ejpam-3199	306	3	for	for	ADP
ejpam-3199	306	4	contradiction	contradiction	NOUN
ejpam-3199	306	5	,	,	PUNCT
ejpam-3199	306	6	that	that	SCONJ
ejpam-3199	306	7	s2	s2	NOUN
ejpam-3199	306	8	is	be	AUX
ejpam-3199	306	9	invariant	invariant	ADJ
ejpam-3199	306	10	.	.	PUNCT
ejpam-3199	307	1	this	this	PRON
ejpam-3199	307	2	implies	imply	VERB
ejpam-3199	307	3	that	that	SCONJ
ejpam-3199	307	4	ψ′λσ2(e3	ψ′λσ2(e3	PROPN
ejpam-3199	307	5	)	)	PUNCT
ejpam-3199	307	6	∈	∈	PROPN
ejpam-3199	307	7	s2	s2	PROPN
ejpam-3199	307	8	.	.	PUNCT
ejpam-3199	308	1	simple	simple	ADJ
ejpam-3199	308	2	computations	computation	NOUN
ejpam-3199	308	3	give	give	VERB
ejpam-3199	308	4	b1t+	b1t+	NOUN
ejpam-3199	308	5	b2	b2	NOUN
ejpam-3199	308	6	+	+	CCONJ
ejpam-3199	308	7	b2	b2	NOUN
ejpam-3199	308	8	t	t	NOUN
ejpam-3199	308	9	=	=	SYM
ejpam-3199	308	10	0	0	NUM
ejpam-3199	308	11	,	,	PUNCT
ejpam-3199	308	12	a	a	DET
ejpam-3199	308	13	contradiction	contradiction	NOUN
ejpam-3199	308	14	.	.	PUNCT
ejpam-3199	309	1	lemma	lemma	PROPN
ejpam-3199	309	2	8	8	NUM
ejpam-3199	309	3	.	.	PUNCT
ejpam-3199	310	1	if	if	SCONJ
ejpam-3199	310	2	t3	t3	PROPN
ejpam-3199	310	3	=	=	SYM
ejpam-3199	310	4	−1	−1	NOUN
ejpam-3199	310	5	,	,	PUNCT
ejpam-3199	310	6	then	then	ADV
ejpam-3199	310	7	the	the	DET
ejpam-3199	310	8	subspace	subspace	NOUN
ejpam-3199	310	9	s	s	PART
ejpam-3199	310	10	=	=	PUNCT
ejpam-3199	310	11	〈	〈	PROPN
ejpam-3199	310	12	e2	e2	PROPN
ejpam-3199	310	13	,	,	PUNCT
ejpam-3199	310	14	e3	e3	NOUN
ejpam-3199	310	15	,	,	PUNCT
ejpam-3199	310	16	e5	e5	NOUN
ejpam-3199	310	17	,	,	PUNCT
ejpam-3199	310	18	e1	e1	PROPN
ejpam-3199	310	19	+	+	CCONJ
ejpam-3199	310	20	ue4	ue4	PROPN
ejpam-3199	310	21	〉	〉	NOUN
ejpam-3199	310	22	is	be	AUX
ejpam-3199	310	23	invariant	invariant	ADJ
ejpam-3199	310	24	.	.	PUNCT
ejpam-3199	311	1	proof	proof	NOUN
ejpam-3199	311	2	.	.	PUNCT
ejpam-3199	312	1	•	•	NUM
ejpam-3199	312	2	ψ′λσ1(e2)=ψ′λσ2(e2)=ψ′λσ4(e2)=e2	ψ′λσ1(e2)=ψ′λσ2(e2)=ψ′λσ4(e2)=e2	PROPN
ejpam-3199	312	3	∈	∈	PROPN
ejpam-3199	312	4	s.	s.	PROPN
ejpam-3199	312	5	•	•	PROPN
ejpam-3199	312	6	ψ′λσ3(e2	ψ′λσ3(e2	PROPN
ejpam-3199	312	7	)	)	PUNCT
ejpam-3199	312	8	=	=	PRON
ejpam-3199	312	9			VERB
ejpam-3199	312	10	1	1	NUM
ejpam-3199	312	11	−t	−t	PROPN
ejpam-3199	312	12	t	t	PROPN
ejpam-3199	312	13	tb3	tb3	NOUN
ejpam-3199	312	14	b1	b1	NOUN
ejpam-3199	312	15	0	0	PUNCT
ejpam-3199	312	16			PUNCT
ejpam-3199	312	17	=	=	SYM
ejpam-3199	313	1	ae2	ae2	PROPN
ejpam-3199	313	2	+	+	NUM
ejpam-3199	313	3	be3	be3	PROPN
ejpam-3199	314	1	+	+	CCONJ
ejpam-3199	314	2	ce5	ce5	NOUN
ejpam-3199	314	3	+	+	CCONJ
ejpam-3199	314	4	d(e1	d(e1	NOUN
ejpam-3199	314	5	+	+	CCONJ
ejpam-3199	314	6	ue4	ue4	NOUN
ejpam-3199	314	7	)	)	PUNCT
ejpam-3199	314	8	,	,	PUNCT
ejpam-3199	314	9	if	if	SCONJ
ejpam-3199	314	10	u	u	PRON
ejpam-3199	314	11	=	=	NOUN
ejpam-3199	314	12	tb3	tb3	NOUN
ejpam-3199	314	13	b1	b1	NOUN
ejpam-3199	314	14	.	.	PUNCT
ejpam-3199	315	1	(	(	PUNCT
ejpam-3199	315	2	7.4	7.4	NUM
ejpam-3199	315	3	)	)	PUNCT
ejpam-3199	315	4	m.	m.	NOUN
ejpam-3199	315	5	dally	dally	ADV
ejpam-3199	315	6	,	,	PUNCT
ejpam-3199	315	7	m.	m.	NOUN
ejpam-3199	315	8	abdulrahim	abdulrahim	PROPN
ejpam-3199	315	9	/	/	SYM
ejpam-3199	315	10	eur	eur	PROPN
ejpam-3199	315	11	.	.	PUNCT
ejpam-3199	316	1	j.	j.	PROPN
ejpam-3199	316	2	pure	pure	PROPN
ejpam-3199	316	3	appl	appl	PROPN
ejpam-3199	316	4	.	.	PROPN
ejpam-3199	316	5	math	math	PROPN
ejpam-3199	316	6	,	,	PUNCT
ejpam-3199	316	7	11	11	NUM
ejpam-3199	316	8	(	(	PUNCT
ejpam-3199	316	9	1	1	NUM
ejpam-3199	316	10	)	)	PUNCT
ejpam-3199	316	11	(	(	PUNCT
ejpam-3199	316	12	2018	2018	NUM
ejpam-3199	316	13	)	)	PUNCT
ejpam-3199	316	14	,	,	PUNCT
ejpam-3199	316	15	215	215	NUM
ejpam-3199	316	16	-	-	SYM
ejpam-3199	316	17	237	237	NUM
ejpam-3199	316	18	235	235	NUM
ejpam-3199	316	19	•	•	NUM
ejpam-3199	316	20	ψ′λδ(e2	ψ′λδ(e2	PROPN
ejpam-3199	316	21	)	)	PUNCT
ejpam-3199	317	1	=	=	SYM
ejpam-3199	317	2			NOUN
ejpam-3199	317	3	0	0	NUM
ejpam-3199	317	4	1	1	NUM
ejpam-3199	317	5	d3	d3	PROPN
ejpam-3199	317	6	1+t	1+t	NUM
ejpam-3199	317	7	d3	d3	PROPN
ejpam-3199	317	8	t	t	PROPN
ejpam-3199	317	9	1+t	1+t	NUM
ejpam-3199	317	10	+	+	CCONJ
ejpam-3199	317	11	d3	d3	PROPN
ejpam-3199	317	12	b1	b1	PROPN
ejpam-3199	317	13	(	(	PUNCT
ejpam-3199	317	14	∑4	∑4	PROPN
ejpam-3199	317	15	i=1	i=1	PROPN
ejpam-3199	317	16	λibi	λibi	NOUN
ejpam-3199	317	17	)	)	PUNCT
ejpam-3199	317	18	−d3	−d3	NOUN
ejpam-3199	317	19	1+t	1+t	NUM
ejpam-3199	317	20			NOUN
ejpam-3199	317	21	=	=	SYM
ejpam-3199	317	22	ae2	ae2	PROPN
ejpam-3199	317	23	+	+	NUM
ejpam-3199	317	24	be3	be3	PROPN
ejpam-3199	317	25	+	+	CCONJ
ejpam-3199	317	26	ce5	ce5	NOUN
ejpam-3199	317	27	+	+	CCONJ
ejpam-3199	317	28	d(e1	d(e1	NOUN
ejpam-3199	317	29	+	+	CCONJ
ejpam-3199	317	30	ue4	ue4	NOUN
ejpam-3199	317	31	)	)	PUNCT
ejpam-3199	317	32	,	,	PUNCT
ejpam-3199	317	33	if	if	SCONJ
ejpam-3199	317	34	t	t	PROPN
ejpam-3199	317	35	1+t	1+t	NUM
ejpam-3199	317	36	=	=	SYM
ejpam-3199	317	37	−	−	PROPN
ejpam-3199	318	1	∑4	∑4	INTJ
ejpam-3199	318	2	i=1	i=1	PROPN
ejpam-3199	318	3	λibi	λibi	NOUN
ejpam-3199	318	4	b1	b1	PROPN
ejpam-3199	318	5	.	.	PUNCT
ejpam-3199	319	1	(	(	PUNCT
ejpam-3199	319	2	7.5	7.5	NUM
ejpam-3199	319	3	)	)	PUNCT
ejpam-3199	319	4	•	•	NUM
ejpam-3199	319	5	ψ′λσ1(e3)=ψ′λσ3(e3)=ψ′λσ4(e3)=e3	ψ′λσ1(e3)=ψ′λσ3(e3)=ψ′λσ4(e3)=e3	PROPN
ejpam-3199	319	6	∈	∈	PROPN
ejpam-3199	319	7	s.	s.	PROPN
ejpam-3199	319	8	•	•	PROPN
ejpam-3199	319	9	ψ′λσ2(e3	ψ′λσ2(e3	PROPN
ejpam-3199	319	10	)	)	PUNCT
ejpam-3199	320	1	=	=	PUNCT
ejpam-3199	320	2			NOUN
ejpam-3199	320	3	0	0	NUM
ejpam-3199	320	4	1	1	NUM
ejpam-3199	320	5	−t2	−t2	PROPN
ejpam-3199	320	6	1+t	1+t	NUM
ejpam-3199	320	7	t(b1t+b2+b2	t(b1t+b2+b2	NOUN
ejpam-3199	320	8	t	t	NOUN
ejpam-3199	320	9	)	)	PUNCT
ejpam-3199	320	10	b1(1+t	b1(1+t	PROPN
ejpam-3199	320	11	)	)	PUNCT
ejpam-3199	320	12	−t	−t	NOUN
ejpam-3199	320	13	1+t	1+t	NUM
ejpam-3199	320	14			NOUN
ejpam-3199	320	15	=	=	SYM
ejpam-3199	321	1	ae2	ae2	PROPN
ejpam-3199	321	2	+	+	NUM
ejpam-3199	321	3	be3	be3	PROPN
ejpam-3199	322	1	+	+	CCONJ
ejpam-3199	322	2	ce5	ce5	NOUN
ejpam-3199	322	3	+	+	CCONJ
ejpam-3199	322	4	d(e1	d(e1	NOUN
ejpam-3199	322	5	+	+	CCONJ
ejpam-3199	322	6	ue4	ue4	NOUN
ejpam-3199	322	7	)	)	PUNCT
ejpam-3199	322	8	,	,	PUNCT
ejpam-3199	322	9	if	if	SCONJ
ejpam-3199	322	10	t(b1t+	t(b1t+	NOUN
ejpam-3199	322	11	b2	b2	NOUN
ejpam-3199	322	12	+	+	CCONJ
ejpam-3199	322	13	b2	b2	NOUN
ejpam-3199	322	14	t	t	NOUN
ejpam-3199	322	15	)	)	PUNCT
ejpam-3199	322	16	=	=	SYM
ejpam-3199	323	1	0	0	X
ejpam-3199	323	2	.	.	PUNCT
ejpam-3199	324	1	(	(	PUNCT
ejpam-3199	324	2	7.6	7.6	NUM
ejpam-3199	324	3	)	)	PUNCT
ejpam-3199	324	4	•	•	NOUN
ejpam-3199	324	5	ψ′λδ(e3	ψ′λδ(e3	PROPN
ejpam-3199	324	6	)	)	PUNCT
ejpam-3199	324	7	=	=	PUNCT
ejpam-3199	325	1			NOUN
ejpam-3199	325	2	0	0	NUM
ejpam-3199	325	3	0	0	NUM
ejpam-3199	325	4	1	1	NUM
ejpam-3199	325	5	+	+	NUM
ejpam-3199	325	6	−(1+t+t2	−(1+t+t2	NOUN
ejpam-3199	325	7	)	)	PUNCT
ejpam-3199	325	8	1+t	1+t	NUM
ejpam-3199	325	9	−t2(1+t+t2	−t2(1+t+t2	NOUN
ejpam-3199	325	10	)	)	PUNCT
ejpam-3199	325	11	1+t	1+t	NUM
ejpam-3199	325	12	+	+	NUM
ejpam-3199	325	13	−(1+t+t2	−(1+t+t2	NOUN
ejpam-3199	325	14	)	)	PUNCT
ejpam-3199	325	15	b1	b1	NOUN
ejpam-3199	325	16	(	(	PUNCT
ejpam-3199	325	17	∑4	∑4	PROPN
ejpam-3199	325	18	i=1	i=1	PROPN
ejpam-3199	325	19	λibi	λibi	NOUN
ejpam-3199	325	20	)	)	PUNCT
ejpam-3199	325	21	1+t+t2	1+t+t2	NUM
ejpam-3199	325	22	1+t	1+t	NUM
ejpam-3199	325	23			NOUN
ejpam-3199	325	24	=	=	SYM
ejpam-3199	326	1	ae2	ae2	PROPN
ejpam-3199	326	2	+	+	NUM
ejpam-3199	326	3	be3	be3	PROPN
ejpam-3199	327	1	+	+	CCONJ
ejpam-3199	327	2	ce5	ce5	NOUN
ejpam-3199	327	3	+	+	CCONJ
ejpam-3199	327	4	d(e1	d(e1	NOUN
ejpam-3199	327	5	+	+	CCONJ
ejpam-3199	327	6	ue4	ue4	NOUN
ejpam-3199	327	7	)	)	PUNCT
ejpam-3199	327	8	,	,	PUNCT
ejpam-3199	327	9	if	if	SCONJ
ejpam-3199	327	10	∑4	∑4	PROPN
ejpam-3199	327	11	i=1	i=1	PROPN
ejpam-3199	327	12	λibi	λibi	NOUN
ejpam-3199	328	1	+	+	CCONJ
ejpam-3199	328	2	b1	b1	PROPN
ejpam-3199	328	3	t	t	NOUN
ejpam-3199	328	4	1+t	1+t	NUM
ejpam-3199	328	5	=	=	SYM
ejpam-3199	328	6	0	0	NUM
ejpam-3199	328	7	.	.	PUNCT
ejpam-3199	329	1	(	(	PUNCT
ejpam-3199	329	2	7.7	7.7	NUM
ejpam-3199	329	3	)	)	PUNCT
ejpam-3199	329	4	•	•	NUM
ejpam-3199	329	5	ψ′λσ1(e5	ψ′λσ1(e5	PROPN
ejpam-3199	329	6	)	)	PUNCT
ejpam-3199	329	7	=	=	PUNCT
ejpam-3199	330	1	−te5	−te5	PROPN
ejpam-3199	330	2	∈	∈	PROPN
ejpam-3199	330	3	s.	s.	PROPN
ejpam-3199	330	4	•	•	NOUN
ejpam-3199	330	5	ψ′λσ3(e5)=ψ′λσ4(e5)=e5	ψ′λσ3(e5)=ψ′λσ4(e5)=e5	NUM
ejpam-3199	330	6	∈	∈	PROPN
ejpam-3199	330	7	s.	s.	PROPN
ejpam-3199	330	8	m.	m.	PROPN
ejpam-3199	330	9	dally	dally	PROPN
ejpam-3199	330	10	,	,	PUNCT
ejpam-3199	330	11	m.	m.	NOUN
ejpam-3199	330	12	abdulrahim	abdulrahim	PROPN
ejpam-3199	330	13	/	/	SYM
ejpam-3199	330	14	eur	eur	PROPN
ejpam-3199	330	15	.	.	PUNCT
ejpam-3199	331	1	j.	j.	PROPN
ejpam-3199	331	2	pure	pure	PROPN
ejpam-3199	331	3	appl	appl	PROPN
ejpam-3199	331	4	.	.	PROPN
ejpam-3199	331	5	math	math	PROPN
ejpam-3199	331	6	,	,	PUNCT
ejpam-3199	331	7	11	11	NUM
ejpam-3199	331	8	(	(	PUNCT
ejpam-3199	331	9	1	1	NUM
ejpam-3199	331	10	)	)	PUNCT
ejpam-3199	331	11	(	(	PUNCT
ejpam-3199	331	12	2018	2018	NUM
ejpam-3199	331	13	)	)	PUNCT
ejpam-3199	331	14	,	,	PUNCT
ejpam-3199	331	15	215	215	NUM
ejpam-3199	331	16	-	-	SYM
ejpam-3199	331	17	237	237	NUM
ejpam-3199	331	18	236	236	NUM
ejpam-3199	331	19	•	•	NUM
ejpam-3199	331	20	ψ′λσ2(e5	ψ′λσ2(e5	PROPN
ejpam-3199	331	21	)	)	PUNCT
ejpam-3199	332	1	=	=	X
ejpam-3199	332	2			NOUN
ejpam-3199	332	3	0	0	NUM
ejpam-3199	332	4	1	1	NUM
ejpam-3199	332	5	−(1+t+t2	−(1+t+t2	NOUN
ejpam-3199	332	6	)	)	PUNCT
ejpam-3199	332	7	1+t	1+t	NUM
ejpam-3199	332	8	t(b1t+b2+b2	t(b1t+b2+b2	NUM
ejpam-3199	332	9	t	t	NOUN
ejpam-3199	332	10	)	)	PUNCT
ejpam-3199	332	11	b1(1+t	b1(1+t	PROPN
ejpam-3199	332	12	)	)	PUNCT
ejpam-3199	332	13	1	1	NUM
ejpam-3199	332	14	1+t	1+t	NUM
ejpam-3199	332	15			NOUN
ejpam-3199	332	16	=	=	SYM
ejpam-3199	333	1	ae2	ae2	PROPN
ejpam-3199	333	2	+	+	NUM
ejpam-3199	333	3	be3	be3	PROPN
ejpam-3199	334	1	+	+	CCONJ
ejpam-3199	334	2	ce5	ce5	NOUN
ejpam-3199	334	3	+	+	CCONJ
ejpam-3199	334	4	d(e1	d(e1	NOUN
ejpam-3199	334	5	+	+	CCONJ
ejpam-3199	334	6	ue4	ue4	NOUN
ejpam-3199	334	7	)	)	PUNCT
ejpam-3199	334	8	,	,	PUNCT
ejpam-3199	334	9	if	if	SCONJ
ejpam-3199	334	10	t(b1t+	t(b1t+	NOUN
ejpam-3199	334	11	b2	b2	NOUN
ejpam-3199	334	12	+	+	CCONJ
ejpam-3199	334	13	b2	b2	NOUN
ejpam-3199	334	14	t	t	NOUN
ejpam-3199	334	15	)	)	PUNCT
ejpam-3199	334	16	=	=	SYM
ejpam-3199	335	1	0	0	X
ejpam-3199	335	2	.	.	PUNCT
ejpam-3199	336	1	(	(	PUNCT
ejpam-3199	336	2	7.8	7.8	NUM
ejpam-3199	336	3	)	)	PUNCT
ejpam-3199	336	4	•	•	NUM
ejpam-3199	336	5	ψ′λδ(e5	ψ′λδ(e5	PROPN
ejpam-3199	336	6	)	)	PUNCT
ejpam-3199	337	1	=	=	PUNCT
ejpam-3199	338	1			NOUN
ejpam-3199	338	2	0	0	NUM
ejpam-3199	338	3	0	0	NUM
ejpam-3199	338	4	t	t	NOUN
ejpam-3199	338	5	1+t	1+t	NUM
ejpam-3199	338	6	(	(	PUNCT
ejpam-3199	338	7	−d1(1+t)−t(1+t+t2)+b2	−d1(1+t)−t(1+t+t2)+b2	PROPN
ejpam-3199	338	8	t	t	PROPN
ejpam-3199	338	9	)	)	PUNCT
ejpam-3199	338	10	(	(	PUNCT
ejpam-3199	338	11	∑4	∑4	PROPN
ejpam-3199	338	12	i=1	i=1	PROPN
ejpam-3199	338	13	λibi(1+t)+b1	λibi(1+t)+b1	PROPN
ejpam-3199	338	14	t	t	NOUN
ejpam-3199	338	15	)	)	PUNCT
ejpam-3199	338	16	b1(1+t	b1(1+t	NOUN
ejpam-3199	338	17	)	)	PUNCT
ejpam-3199	338	18	1	1	NUM
ejpam-3199	338	19	1+t	1+t	NUM
ejpam-3199	338	20			PUNCT
ejpam-3199	338	21	=	=	SYM
ejpam-3199	339	1	ae2+be3+ce5+d(e1+ue4	ae2+be3+ce5+d(e1+ue4	PROPN
ejpam-3199	339	2	)	)	PUNCT
ejpam-3199	339	3	,	,	PUNCT
ejpam-3199	339	4	if	if	SCONJ
ejpam-3199	339	5	(	(	PUNCT
ejpam-3199	339	6	−d1(1	−d1(1	SYM
ejpam-3199	339	7	+	+	NUM
ejpam-3199	339	8	t	t	NOUN
ejpam-3199	339	9	)	)	PUNCT
ejpam-3199	339	10	+	+	CCONJ
ejpam-3199	339	11	d2	d2	PROPN
ejpam-3199	339	12	+	+	CCONJ
ejpam-3199	339	13	b2	b2	NOUN
ejpam-3199	339	14	t	t	PROPN
ejpam-3199	339	15	)	)	PUNCT
ejpam-3199	339	16	(	(	PUNCT
ejpam-3199	339	17	∑4	∑4	NOUN
ejpam-3199	339	18	i=1	i=1	PROPN
ejpam-3199	340	1	λibi(1	λibi(1	PROPN
ejpam-3199	340	2	+	+	PROPN
ejpam-3199	340	3	t	t	PROPN
ejpam-3199	340	4	)	)	PUNCT
ejpam-3199	341	1	+	+	CCONJ
ejpam-3199	341	2	b1	b1	PROPN
ejpam-3199	341	3	t	t	PROPN
ejpam-3199	341	4	)	)	PUNCT
ejpam-3199	341	5	=	=	SYM
ejpam-3199	342	1	0	0	X
ejpam-3199	342	2	.	.	PUNCT
ejpam-3199	343	1	(	(	PUNCT
ejpam-3199	343	2	7.9	7.9	NUM
ejpam-3199	343	3	)	)	PUNCT
ejpam-3199	343	4	•	•	NUM
ejpam-3199	343	5	ψ′λσ1(e1	ψ′λσ1(e1	PROPN
ejpam-3199	343	6	+	+	CCONJ
ejpam-3199	343	7	ue4)=ψ	ue4)=ψ	VERB
ejpam-3199	343	8	′	′	NUM
ejpam-3199	343	9	λσ2(e1	λσ2(e1	X
ejpam-3199	343	10	+	+	CCONJ
ejpam-3199	343	11	ue4)=ψ	ue4)=ψ	NOUN
ejpam-3199	343	12	′	′	NOUN
ejpam-3199	343	13	λσ3(e1	λσ3(e1	ADP
ejpam-3199	343	14	+	+	CCONJ
ejpam-3199	343	15	ue4)=e1	ue4)=e1	NOUN
ejpam-3199	343	16	+	+	CCONJ
ejpam-3199	343	17	ue4	ue4	PROPN
ejpam-3199	343	18	∈	∈	PROPN
ejpam-3199	343	19	s.	s.	PROPN
ejpam-3199	343	20	•	•	PROPN
ejpam-3199	343	21	ψ′λσ4(e1	ψ′λσ4(e1	PROPN
ejpam-3199	343	22	+	+	CCONJ
ejpam-3199	343	23	ue4	ue4	NOUN
ejpam-3199	343	24	)	)	PUNCT
ejpam-3199	344	1	=	=	NOUN
ejpam-3199	344	2			NOUN
ejpam-3199	344	3	−t	−t	PROPN
ejpam-3199	344	4	t	t	PROPN
ejpam-3199	344	5	0	0	NUM
ejpam-3199	344	6	u+	u+	NUM
ejpam-3199	344	7	tb4	tb4	VERB
ejpam-3199	344	8	b1	b1	NOUN
ejpam-3199	344	9	0	0	NUM
ejpam-3199	344	10			NOUN
ejpam-3199	344	11	=	=	SYM
ejpam-3199	345	1	ae2	ae2	PROPN
ejpam-3199	345	2	+	+	NUM
ejpam-3199	345	3	be3	be3	PROPN
ejpam-3199	346	1	+	+	CCONJ
ejpam-3199	346	2	ce5	ce5	NOUN
ejpam-3199	346	3	+	+	CCONJ
ejpam-3199	346	4	d(e1	d(e1	NOUN
ejpam-3199	346	5	+	+	CCONJ
ejpam-3199	346	6	ue4	ue4	NOUN
ejpam-3199	346	7	)	)	PUNCT
ejpam-3199	346	8	,	,	PUNCT
ejpam-3199	346	9	if	if	SCONJ
ejpam-3199	346	10	u	u	PRON
ejpam-3199	346	11	=	=	PROPN
ejpam-3199	346	12	−tb4	−tb4	VERB
ejpam-3199	346	13	b1(1+t	b1(1+t	NOUN
ejpam-3199	346	14	)	)	PUNCT
ejpam-3199	346	15	.	.	PUNCT
ejpam-3199	347	1	(	(	PUNCT
ejpam-3199	347	2	7.10	7.10	NUM
ejpam-3199	347	3	)	)	PUNCT
ejpam-3199	347	4	•	•	NUM
ejpam-3199	348	1	ψ′λδ(e1	ψ′λδ(e1	NOUN
ejpam-3199	348	2	+	+	CCONJ
ejpam-3199	348	3	ue4	ue4	NOUN
ejpam-3199	348	4	)	)	PUNCT
ejpam-3199	348	5	=	=	PUNCT
ejpam-3199	349	1			NOUN
ejpam-3199	349	2	1	1	NUM
ejpam-3199	349	3	0	0	NUM
ejpam-3199	349	4	d4	d4	PROPN
ejpam-3199	349	5	1+t	1+t	NUM
ejpam-3199	349	6	+	+	CCONJ
ejpam-3199	349	7	b1u	b1u	PROPN
ejpam-3199	349	8	1+t	1+t	NUM
ejpam-3199	349	9	d4	d4	PROPN
ejpam-3199	349	10	b1	b1	NOUN
ejpam-3199	349	11	(	(	PUNCT
ejpam-3199	349	12	∑4	∑4	PROPN
ejpam-3199	349	13	i=1	i=1	PROPN
ejpam-3199	349	14	λibi	λibi	NOUN
ejpam-3199	349	15	+	+	CCONJ
ejpam-3199	349	16	b1	b1	PROPN
ejpam-3199	349	17	t	t	NOUN
ejpam-3199	349	18	1+t	1+t	NUM
ejpam-3199	349	19	)	)	PUNCT
ejpam-3199	349	20	+	+	CCONJ
ejpam-3199	350	1	u(1	u(1	PROPN
ejpam-3199	350	2	+	+	PROPN
ejpam-3199	350	3	∑4	∑4	PROPN
ejpam-3199	350	4	i=1	i=1	PROPN
ejpam-3199	350	5	λibi	λibi	NOUN
ejpam-3199	350	6	+	+	CCONJ
ejpam-3199	350	7	b1	b1	PROPN
ejpam-3199	350	8	t	t	PROPN
ejpam-3199	350	9	1+t	1+t	NUM
ejpam-3199	350	10	)	)	PUNCT
ejpam-3199	350	11	−d4	−d4	PROPN
ejpam-3199	350	12	1+t	1+t	NUM
ejpam-3199	350	13	−	−	NOUN
ejpam-3199	350	14	b1u	b1u	ADP
ejpam-3199	350	15	1+t	1+t	NUM
ejpam-3199	350	16			PUNCT
ejpam-3199	350	17	=	=	SYM
ejpam-3199	351	1	ae2	ae2	PROPN
ejpam-3199	351	2	+	+	NUM
ejpam-3199	351	3	be3	be3	PROPN
ejpam-3199	352	1	+	+	CCONJ
ejpam-3199	352	2	ce5	ce5	NOUN
ejpam-3199	352	3	+	+	CCONJ
ejpam-3199	352	4	d(e1	d(e1	NOUN
ejpam-3199	352	5	+	+	CCONJ
ejpam-3199	352	6	ue4	ue4	NOUN
ejpam-3199	352	7	)	)	PUNCT
ejpam-3199	352	8	,	,	PUNCT
ejpam-3199	352	9	if	if	SCONJ
ejpam-3199	352	10	(	(	PUNCT
ejpam-3199	352	11	∑4	∑4	NOUN
ejpam-3199	352	12	i=1	i=1	PROPN
ejpam-3199	352	13	λibi	λibi	NOUN
ejpam-3199	353	1	+	+	CCONJ
ejpam-3199	353	2	b1	b1	PROPN
ejpam-3199	353	3	t	t	PROPN
ejpam-3199	353	4	1+t	1+t	NUM
ejpam-3199	353	5	)	)	PUNCT
ejpam-3199	353	6	(	(	PUNCT
ejpam-3199	353	7	d4	d4	PROPN
ejpam-3199	353	8	b1	b1	PROPN
ejpam-3199	353	9	+	+	CCONJ
ejpam-3199	353	10	u	u	NOUN
ejpam-3199	353	11	)	)	PUNCT
ejpam-3199	353	12	=	=	SYM
ejpam-3199	354	1	0	0	X
ejpam-3199	354	2	.	.	PUNCT
ejpam-3199	355	1	(	(	PUNCT
ejpam-3199	355	2	7.11	7.11	NUM
ejpam-3199	355	3	)	)	PUNCT
ejpam-3199	355	4	references	reference	NOUN
ejpam-3199	355	5	237	237	NUM
ejpam-3199	355	6	using	use	VERB
ejpam-3199	355	7	the	the	DET
ejpam-3199	355	8	relations	relation	NOUN
ejpam-3199	355	9	,	,	PUNCT
ejpam-3199	355	10	we	we	PRON
ejpam-3199	355	11	prove	prove	VERB
ejpam-3199	355	12	that	that	SCONJ
ejpam-3199	355	13	equations	equation	NOUN
ejpam-3199	355	14	(	(	PUNCT
ejpam-3199	355	15	7.5	7.5	NUM
ejpam-3199	355	16	)	)	PUNCT
ejpam-3199	355	17	,	,	PUNCT
ejpam-3199	355	18	(	(	PUNCT
ejpam-3199	355	19	7.7	7.7	NUM
ejpam-3199	355	20	)	)	PUNCT
ejpam-3199	355	21	,	,	PUNCT
ejpam-3199	355	22	(	(	PUNCT
ejpam-3199	355	23	7.9	7.9	NUM
ejpam-3199	355	24	)	)	PUNCT
ejpam-3199	355	25	,	,	PUNCT
ejpam-3199	355	26	and	and	CCONJ
ejpam-3199	355	27	(	(	PUNCT
ejpam-3199	355	28	7.11	7.11	NUM
ejpam-3199	355	29	)	)	PUNCT
ejpam-3199	355	30	are	be	AUX
ejpam-3199	355	31	clearly	clearly	ADV
ejpam-3199	355	32	satisfied	satisfied	ADJ
ejpam-3199	355	33	.	.	PUNCT
ejpam-3199	356	1	also	also	ADV
ejpam-3199	356	2	,	,	PUNCT
ejpam-3199	356	3	we	we	PRON
ejpam-3199	356	4	verify	verify	VERB
ejpam-3199	356	5	that	that	SCONJ
ejpam-3199	356	6	equations	equation	NOUN
ejpam-3199	356	7	(	(	PUNCT
ejpam-3199	356	8	7.4	7.4	NUM
ejpam-3199	356	9	)	)	PUNCT
ejpam-3199	356	10	,	,	PUNCT
ejpam-3199	356	11	(	(	PUNCT
ejpam-3199	356	12	7.6	7.6	NUM
ejpam-3199	356	13	)	)	PUNCT
ejpam-3199	356	14	,	,	PUNCT
ejpam-3199	356	15	(	(	PUNCT
ejpam-3199	356	16	7.8	7.8	NUM
ejpam-3199	356	17	)	)	PUNCT
ejpam-3199	356	18	and	and	CCONJ
ejpam-3199	356	19	(	(	PUNCT
ejpam-3199	356	20	7.10	7.10	NUM
ejpam-3199	356	21	)	)	PUNCT
ejpam-3199	356	22	are	be	AUX
ejpam-3199	356	23	satisfied	satisfied	ADJ
ejpam-3199	356	24	if	if	SCONJ
ejpam-3199	356	25	−t(1	−t(1	NOUN
ejpam-3199	356	26	+	+	NUM
ejpam-3199	356	27	t)2	t)2	NOUN
ejpam-3199	356	28	=	=	SYM
ejpam-3199	356	29	−(1	−(1	NOUN
ejpam-3199	356	30	+	+	CCONJ
ejpam-3199	356	31	t+	t+	PUNCT
ejpam-3199	356	32	t2)(1	t2)(1	NOUN
ejpam-3199	356	33	+	+	CCONJ
ejpam-3199	356	34	t2	t2	NOUN
ejpam-3199	356	35	)	)	PUNCT
ejpam-3199	357	1	+	+	NUM
ejpam-3199	357	2	t2	t2	NOUN
ejpam-3199	357	3	which	which	PRON
ejpam-3199	357	4	implies	imply	VERB
ejpam-3199	357	5	that	that	SCONJ
ejpam-3199	357	6	t3	t3	NOUN
ejpam-3199	357	7	=	=	SYM
ejpam-3199	357	8	−1	−1	NOUN
ejpam-3199	357	9	.	.	PUNCT
ejpam-3199	358	1	thus	thus	ADV
ejpam-3199	358	2	,	,	PUNCT
ejpam-3199	358	3	we	we	PRON
ejpam-3199	358	4	have	have	AUX
ejpam-3199	358	5	determined	determine	VERB
ejpam-3199	358	6	a	a	DET
ejpam-3199	358	7	necessary	necessary	ADJ
ejpam-3199	358	8	and	and	CCONJ
ejpam-3199	358	9	sufficient	sufficient	ADJ
ejpam-3199	358	10	condition	condition	NOUN
ejpam-3199	358	11	for	for	ADP
ejpam-3199	358	12	irreducibility	irreducibility	NOUN
ejpam-3199	358	13	.	.	PUNCT
ejpam-3199	359	1	theorem	theorem	NOUN
ejpam-3199	359	2	2	2	NUM
ejpam-3199	360	1	.	.	X
ejpam-3199	360	2	assume	assume	VERB
ejpam-3199	360	3	all	all	DET
ejpam-3199	360	4	the	the	DET
ejpam-3199	360	5	indeterminates	indeterminate	NOUN
ejpam-3199	360	6	used	use	VERB
ejpam-3199	360	7	in	in	ADP
ejpam-3199	360	8	defining	define	VERB
ejpam-3199	360	9	perron	perron	PROPN
ejpam-3199	360	10	representation	representation	NOUN
ejpam-3199	360	11	of	of	ADP
ejpam-3199	360	12	degree	degree	NOUN
ejpam-3199	360	13	5	5	NUM
ejpam-3199	360	14	are	be	AUX
ejpam-3199	360	15	non	non	ADJ
ejpam-3199	360	16	zero	zero	NUM
ejpam-3199	360	17	complex	complex	ADJ
ejpam-3199	360	18	numbers	number	NOUN
ejpam-3199	360	19	.	.	PUNCT
ejpam-3199	361	1	let	let	VERB
ejpam-3199	361	2	d2	d2	PROPN
ejpam-3199	361	3	=	=	PUNCT
ejpam-3199	362	1	−(1	−(1	PROPN
ejpam-3199	362	2	+	+	NUM
ejpam-3199	362	3	t	t	NOUN
ejpam-3199	362	4	+	+	CCONJ
ejpam-3199	362	5	t2	t2	NOUN
ejpam-3199	362	6	)	)	PUNCT
ejpam-3199	362	7	,	,	PUNCT
ejpam-3199	362	8	d3	d3	PROPN
ejpam-3199	362	9	=	=	PUNCT
ejpam-3199	363	1	−t(1	−t(1	PROPN
ejpam-3199	363	2	+	+	CCONJ
ejpam-3199	363	3	t	t	NOUN
ejpam-3199	363	4	)	)	PUNCT
ejpam-3199	363	5	,	,	PUNCT
ejpam-3199	363	6	and	and	CCONJ
ejpam-3199	363	7	t	t	PROPN
ejpam-3199	363	8	6=	6=	SYM
ejpam-3199	363	9	−1	−1	NOUN
ejpam-3199	363	10	.	.	PUNCT
ejpam-3199	364	1	the	the	DET
ejpam-3199	364	2	representation	representation	NOUN
ejpam-3199	364	3	ψ′λ	ψ′λ	PROPN
ejpam-3199	364	4	:	:	PUNCT
ejpam-3199	364	5	a(e5,1)→	a(e5,1)→	NOUN
ejpam-3199	364	6	gl5(c	gl5(c	NOUN
ejpam-3199	364	7	)	)	PUNCT
ejpam-3199	364	8	is	be	AUX
ejpam-3199	364	9	irreducible	irreducible	ADJ
ejpam-3199	364	10	if	if	SCONJ
ejpam-3199	364	11	and	and	CCONJ
ejpam-3199	364	12	only	only	ADV
ejpam-3199	364	13	if	if	SCONJ
ejpam-3199	364	14	t3	t3	PROPN
ejpam-3199	364	15	6=	6=	SYM
ejpam-3199	364	16	−1	−1	NOUN
ejpam-3199	364	17	.	.	PUNCT
ejpam-3199	365	1	remark	remark	PROPN
ejpam-3199	365	2	1	1	NUM
ejpam-3199	365	3	.	.	NOUN
ejpam-3199	365	4	•	•	NOUN
ejpam-3199	365	5	for	for	ADP
ejpam-3199	365	6	n=2	n=2	PRON
ejpam-3199	365	7	and	and	CCONJ
ejpam-3199	365	8	for	for	ADP
ejpam-3199	365	9	t	t	PROPN
ejpam-3199	365	10	6=	6=	SYM
ejpam-3199	365	11	−1	−1	NOUN
ejpam-3199	365	12	,	,	PUNCT
ejpam-3199	365	13	we	we	PRON
ejpam-3199	365	14	proved	prove	VERB
ejpam-3199	365	15	that	that	SCONJ
ejpam-3199	365	16	a	a	DET
ejpam-3199	365	17	complex	complex	ADJ
ejpam-3199	365	18	specialization	specialization	NOUN
ejpam-3199	365	19	of	of	ADP
ejpam-3199	365	20	the	the	DET
ejpam-3199	365	21	representation	representation	NOUN
ejpam-3199	365	22	ψ′λ	ψ′λ	PROPN
ejpam-3199	365	23	:	:	PUNCT
ejpam-3199	365	24	a(e3,1	a(e3,1	NUM
ejpam-3199	365	25	)	)	PUNCT
ejpam-3199	365	26	→	→	SYM
ejpam-3199	365	27	gl3(c	gl3(c	PROPN
ejpam-3199	365	28	)	)	PUNCT
ejpam-3199	365	29	is	be	AUX
ejpam-3199	365	30	irreducible	irreducible	ADJ
ejpam-3199	365	31	if	if	SCONJ
ejpam-3199	365	32	and	and	CCONJ
ejpam-3199	365	33	only	only	ADV
ejpam-3199	365	34	if	if	SCONJ
ejpam-3199	365	35	t2	t2	PROPN
ejpam-3199	365	36	6=	6=	SYM
ejpam-3199	365	37	−1	−1	NOUN
ejpam-3199	365	38	which	which	PRON
ejpam-3199	365	39	is	be	AUX
ejpam-3199	365	40	equivalent	equivalent	ADJ
ejpam-3199	365	41	to	to	ADP
ejpam-3199	365	42	t3	t3	NOUN
ejpam-3199	365	43	+	+	CCONJ
ejpam-3199	365	44	t2	t2	PROPN
ejpam-3199	365	45	+	+	CCONJ
ejpam-3199	365	46	t+	t+	NOUN
ejpam-3199	365	47	1	1	NUM
ejpam-3199	365	48	6=	6=	SYM
ejpam-3199	365	49	0	0	NUM
ejpam-3199	365	50	.	.	NOUN
ejpam-3199	365	51	•	•	NOUN
ejpam-3199	365	52	for	for	ADP
ejpam-3199	365	53	n=3	n=3	PUNCT
ejpam-3199	365	54	and	and	CCONJ
ejpam-3199	365	55	for	for	ADP
ejpam-3199	365	56	t	t	PROPN
ejpam-3199	365	57	6=	6=	SYM
ejpam-3199	365	58	−1	−1	NOUN
ejpam-3199	365	59	,	,	PUNCT
ejpam-3199	365	60	we	we	PRON
ejpam-3199	365	61	have	have	AUX
ejpam-3199	365	62	proved	prove	VERB
ejpam-3199	365	63	that	that	SCONJ
ejpam-3199	365	64	a	a	DET
ejpam-3199	365	65	complex	complex	ADJ
ejpam-3199	365	66	specialization	specialization	NOUN
ejpam-3199	365	67	of	of	ADP
ejpam-3199	365	68	the	the	DET
ejpam-3199	365	69	representation	representation	NOUN
ejpam-3199	365	70	ψ′λ	ψ′λ	PROPN
ejpam-3199	365	71	:	:	PUNCT
ejpam-3199	365	72	a(e4,1)→	a(e4,1)→	NOUN
ejpam-3199	365	73	gl4(c	gl4(c	NOUN
ejpam-3199	365	74	)	)	PUNCT
ejpam-3199	365	75	is	be	AUX
ejpam-3199	365	76	irreducible	irreducible	ADJ
ejpam-3199	365	77	if	if	SCONJ
ejpam-3199	365	78	and	and	CCONJ
ejpam-3199	365	79	only	only	ADV
ejpam-3199	365	80	if	if	SCONJ
ejpam-3199	365	81	t4	t4	PROPN
ejpam-3199	365	82	+	+	PROPN
ejpam-3199	365	83	t3	t3	PROPN
ejpam-3199	365	84	+	+	CCONJ
ejpam-3199	365	85	t2	t2	NOUN
ejpam-3199	365	86	+	+	CCONJ
ejpam-3199	365	87	t+	t+	NOUN
ejpam-3199	365	88	1	1	NUM
ejpam-3199	365	89	6=	6=	SYM
ejpam-3199	365	90	0	0	NUM
ejpam-3199	365	91	.	.	NOUN
ejpam-3199	365	92	•	•	NUM
ejpam-3199	365	93	for	for	ADP
ejpam-3199	365	94	n=4	n=4	PROPN
ejpam-3199	365	95	and	and	CCONJ
ejpam-3199	365	96	for	for	ADP
ejpam-3199	365	97	t	t	PROPN
ejpam-3199	365	98	6=	6=	ADP
ejpam-3199	365	99	−1	−1	NOUN
ejpam-3199	365	100	,	,	PUNCT
ejpam-3199	365	101	we	we	PRON
ejpam-3199	365	102	have	have	AUX
ejpam-3199	365	103	proved	prove	VERB
ejpam-3199	365	104	that	that	SCONJ
ejpam-3199	365	105	a	a	DET
ejpam-3199	365	106	complex	complex	ADJ
ejpam-3199	365	107	specialization	specialization	NOUN
ejpam-3199	365	108	of	of	ADP
ejpam-3199	365	109	the	the	DET
ejpam-3199	365	110	representation	representation	NOUN
ejpam-3199	365	111	ψ′λ	ψ′λ	PROPN
ejpam-3199	365	112	:	:	PUNCT
ejpam-3199	365	113	a(e5,1	a(e5,1	X
ejpam-3199	365	114	)	)	PUNCT
ejpam-3199	365	115	→	→	SYM
ejpam-3199	365	116	gl5(c	gl5(c	NOUN
ejpam-3199	365	117	)	)	PUNCT
ejpam-3199	365	118	is	be	AUX
ejpam-3199	365	119	irreducible	irreducible	ADJ
ejpam-3199	365	120	if	if	SCONJ
ejpam-3199	365	121	and	and	CCONJ
ejpam-3199	365	122	only	only	ADV
ejpam-3199	365	123	if	if	SCONJ
ejpam-3199	365	124	t3	t3	PROPN
ejpam-3199	365	125	6=	6=	NUM
ejpam-3199	365	126	−1	−1	NOUN
ejpam-3199	365	127	which	which	PRON
ejpam-3199	365	128	is	be	AUX
ejpam-3199	365	129	equivalent	equivalent	ADJ
ejpam-3199	365	130	to	to	ADP
ejpam-3199	365	131	t5	t5	PROPN
ejpam-3199	365	132	+	+	PROPN
ejpam-3199	365	133	t4	t4	PROPN
ejpam-3199	365	134	+	+	CCONJ
ejpam-3199	365	135	t3	t3	PROPN
ejpam-3199	365	136	+	+	CCONJ
ejpam-3199	365	137	t2	t2	NOUN
ejpam-3199	365	138	+	+	CCONJ
ejpam-3199	365	139	t+	t+	NOUN
ejpam-3199	365	140	1	1	NUM
ejpam-3199	365	141	6=	6=	SYM
ejpam-3199	365	142	0	0	NUM
ejpam-3199	365	143	.	.	PUNCT
ejpam-3199	366	1	references	reference	NOUN
ejpam-3199	366	2	[	[	X
ejpam-3199	366	3	1	1	X
ejpam-3199	366	4	]	]	PUNCT
ejpam-3199	366	5	j.	j.	PROPN
ejpam-3199	366	6	s.	s.	PROPN
ejpam-3199	366	7	birman	birman	PROPN
ejpam-3199	366	8	,	,	PUNCT
ejpam-3199	366	9	braids	braid	NOUN
ejpam-3199	366	10	,	,	PUNCT
ejpam-3199	366	11	links	link	NOUN
ejpam-3199	366	12	and	and	CCONJ
ejpam-3199	366	13	mapping	mapping	NOUN
ejpam-3199	366	14	class	class	NOUN
ejpam-3199	366	15	groups	group	NOUN
ejpam-3199	366	16	.	.	PUNCT
ejpam-3199	367	1	annals	annal	NOUN
ejpam-3199	367	2	of	of	ADP
ejpam-3199	367	3	mathematical	mathematical	ADJ
ejpam-3199	367	4	studies	study	NOUN
ejpam-3199	367	5	.	.	PUNCT
ejpam-3199	368	1	princeton	princeton	PROPN
ejpam-3199	368	2	university	university	PROPN
ejpam-3199	368	3	press	press	NOUN
ejpam-3199	368	4	,	,	PUNCT
ejpam-3199	368	5	volume	volume	NOUN
ejpam-3199	368	6	82	82	NUM
ejpam-3199	368	7	,	,	PUNCT
ejpam-3199	368	8	new	new	PROPN
ejpam-3199	368	9	jersey	jersey	PROPN
ejpam-3199	368	10	,	,	PUNCT
ejpam-3199	368	11	1975	1975	NUM
ejpam-3199	368	12	.	.	PUNCT
ejpam-3199	369	1	[	[	X
ejpam-3199	369	2	2	2	X
ejpam-3199	369	3	]	]	X
ejpam-3199	369	4	t.e	t.e	PROPN
ejpam-3199	369	5	.	.	PROPN
ejpam-3199	369	6	brendle	brendle	PROPN
ejpam-3199	369	7	,	,	PUNCT
ejpam-3199	369	8	the	the	DET
ejpam-3199	369	9	torelli	torelli	PROPN
ejpam-3199	369	10	group	group	NOUN
ejpam-3199	369	11	and	and	CCONJ
ejpam-3199	369	12	representations	representation	NOUN
ejpam-3199	369	13	of	of	ADP
ejpam-3199	369	14	mapping	mapping	NOUN
ejpam-3199	369	15	class	class	NOUN
ejpam-3199	369	16	groups	group	NOUN
ejpam-3199	369	17	.	.	PUNCT
ejpam-3199	370	1	doctoral	doctoral	ADJ
ejpam-3199	370	2	thesis	thesis	NOUN
ejpam-3199	370	3	,	,	PUNCT
ejpam-3199	370	4	columbia	columbia	PROPN
ejpam-3199	370	5	university	university	PROPN
ejpam-3199	370	6	,	,	PUNCT
ejpam-3199	370	7	2002	2002	NUM
ejpam-3199	370	8	.	.	PUNCT
ejpam-3199	371	1	[	[	X
ejpam-3199	371	2	3	3	X
ejpam-3199	371	3	]	]	X
ejpam-3199	371	4	m.	m.	NOUN
ejpam-3199	371	5	dally	dally	ADV
ejpam-3199	371	6	and	and	CCONJ
ejpam-3199	371	7	m.	m.	PROPN
ejpam-3199	371	8	abdulrahim	abdulrahim	PROPN
ejpam-3199	371	9	,	,	PUNCT
ejpam-3199	371	10	on	on	ADP
ejpam-3199	371	11	the	the	DET
ejpam-3199	371	12	irreducibility	irreducibility	NOUN
ejpam-3199	371	13	of	of	ADP
ejpam-3199	371	14	artin	artin	PROPN
ejpam-3199	371	15	’s	’s	PART
ejpam-3199	371	16	group	group	NOUN
ejpam-3199	371	17	of	of	ADP
ejpam-3199	371	18	graphs	graph	NOUN
ejpam-3199	371	19	.	.	PUNCT
ejpam-3199	372	1	journal	journal	NOUN
ejpam-3199	372	2	of	of	ADP
ejpam-3199	372	3	mathematics	mathematics	PROPN
ejpam-3199	372	4	research	research	NOUN
ejpam-3199	372	5	,	,	PUNCT
ejpam-3199	372	6	volume	volume	NOUN
ejpam-3199	372	7	7	7	NUM
ejpam-3199	372	8	,	,	PUNCT
ejpam-3199	372	9	number	number	NOUN
ejpam-3199	372	10	2	2	NUM
ejpam-3199	372	11	,	,	PUNCT
ejpam-3199	372	12	2015	2015	NUM
ejpam-3199	372	13	.	.	PUNCT
ejpam-3199	373	1	[	[	X
ejpam-3199	373	2	4	4	X
ejpam-3199	373	3	]	]	X
ejpam-3199	373	4	v.l	v.l	PROPN
ejpam-3199	373	5	.	.	PROPN
ejpam-3199	373	6	hansen	hansen	PROPN
ejpam-3199	373	7	,	,	PUNCT
ejpam-3199	373	8	braids	braid	NOUN
ejpam-3199	373	9	and	and	CCONJ
ejpam-3199	373	10	coverings	covering	NOUN
ejpam-3199	373	11	.	.	PUNCT
ejpam-3199	374	1	london	london	PROPN
ejpam-3199	374	2	mathematical	mathematical	ADJ
ejpam-3199	374	3	society	society	PROPN
ejpam-3199	374	4	,	,	PUNCT
ejpam-3199	374	5	cambridge	cambridge	PROPN
ejpam-3199	374	6	university	university	PROPN
ejpam-3199	374	7	press	press	NOUN
ejpam-3199	374	8	,	,	PUNCT
ejpam-3199	374	9	1989	1989	NUM
ejpam-3199	374	10	.	.	PUNCT
ejpam-3199	375	1	[	[	X
ejpam-3199	375	2	5	5	X
ejpam-3199	375	3	]	]	PUNCT
ejpam-3199	375	4	b.	b.	PROPN
ejpam-3199	375	5	perron	perron	PROPN
ejpam-3199	375	6	,	,	PUNCT
ejpam-3199	375	7	a	a	DET
ejpam-3199	375	8	linear	linear	ADJ
ejpam-3199	375	9	representaton	representaton	NOUN
ejpam-3199	375	10	of	of	ADP
ejpam-3199	375	11	a	a	DET
ejpam-3199	375	12	finite	finite	ADJ
ejpam-3199	375	13	rank	rank	NOUN
ejpam-3199	375	14	of	of	ADP
ejpam-3199	375	15	the	the	DET
ejpam-3199	375	16	mapping	mapping	NOUN
ejpam-3199	375	17	class	class	NOUN
ejpam-3199	375	18	group	group	NOUN
ejpam-3199	375	19	of	of	ADP
ejpam-3199	375	20	surfaces	surface	NOUN
ejpam-3199	375	21	(	(	PUNCT
ejpam-3199	375	22	preprint	preprint	NOUN
ejpam-3199	375	23	)	)	PUNCT
ejpam-3199	375	24	.	.	PUNCT
ejpam-3199	376	1	laboratoire	laboratoire	PROPN
ejpam-3199	376	2	de	de	PROPN
ejpam-3199	376	3	topologie	topologie	PROPN
ejpam-3199	376	4	,	,	PUNCT
ejpam-3199	376	5	volume	volume	NOUN
ejpam-3199	376	6	99	99	NUM
ejpam-3199	376	7	,	,	PUNCT
ejpam-3199	376	8	number	number	NOUN
ejpam-3199	376	9	204	204	NUM
ejpam-3199	376	10	,	,	PUNCT
ejpam-3199	376	11	1999	1999	NUM
ejpam-3199	376	12	.	.	PUNCT