id	sid	tid	token	lemma	pos
ejpam-4586	1	1	european	european	PROPN
ejpam-4586	1	2	journal	journal	PROPN
ejpam-4586	1	3	of	of	ADP
ejpam-4586	1	4	pure	pure	ADJ
ejpam-4586	1	5	and	and	CCONJ
ejpam-4586	1	6	applied	apply	VERB
ejpam-4586	1	7	mathematics	mathematic	NOUN
ejpam-4586	1	8	vol	vol	NOUN
ejpam-4586	1	9	.	.	PROPN
ejpam-4586	2	1	15	15	NUM
ejpam-4586	2	2	,	,	PUNCT
ejpam-4586	2	3	no	no	INTJ
ejpam-4586	2	4	.	.	NOUN
ejpam-4586	2	5	4	4	NUM
ejpam-4586	2	6	,	,	PUNCT
ejpam-4586	2	7	2022	2022	NUM
ejpam-4586	2	8	,	,	PUNCT
ejpam-4586	2	9	1887	1887	NUM
ejpam-4586	2	10	-	-	SYM
ejpam-4586	2	11	1907	1907	NUM
ejpam-4586	2	12	issn	issn	PROPN
ejpam-4586	2	13	1307	1307	NUM
ejpam-4586	2	14	-	-	SYM
ejpam-4586	2	15	5543	5543	NUM
ejpam-4586	2	16	–	–	PUNCT
ejpam-4586	2	17	ejpam.com	ejpam.com	X
ejpam-4586	2	18	published	publish	VERB
ejpam-4586	2	19	by	by	ADP
ejpam-4586	2	20	new	new	PROPN
ejpam-4586	2	21	york	york	PROPN
ejpam-4586	2	22	business	business	PROPN
ejpam-4586	2	23	global	global	ADJ
ejpam-4586	2	24	classification	classification	NOUN
ejpam-4586	2	25	of	of	ADP
ejpam-4586	2	26	four	four	NUM
ejpam-4586	2	27	dimensional	dimensional	ADJ
ejpam-4586	2	28	train	train	NOUN
ejpam-4586	2	29	algebras	algebra	NOUN
ejpam-4586	2	30	of	of	ADP
ejpam-4586	2	31	degree	degree	NOUN
ejpam-4586	2	32	2	2	NUM
ejpam-4586	2	33	and	and	CCONJ
ejpam-4586	2	34	exponent	exponent	NOUN
ejpam-4586	2	35	4	4	NUM
ejpam-4586	2	36	w.	w.	PROPN
ejpam-4586	2	37	achile	achile	PROPN
ejpam-4586	2	38	zangre1	zangre1	PROPN
ejpam-4586	2	39	,	,	PUNCT
ejpam-4586	2	40	andré	andré	VERB
ejpam-4586	2	41	conseibo1,∗	conseibo1,∗	NOUN
ejpam-4586	2	42	1	1	NUM
ejpam-4586	2	43	département	département	X
ejpam-4586	2	44	de	de	X
ejpam-4586	2	45	mathématiques	mathématiques	X
ejpam-4586	2	46	et	et	PROPN
ejpam-4586	2	47	informatique	informatique	PROPN
ejpam-4586	2	48	,	,	PUNCT
ejpam-4586	2	49	université	université	PROPN
ejpam-4586	2	50	norbert	norbert	PROPN
ejpam-4586	2	51	zongo	zongo	PROPN
ejpam-4586	2	52	,	,	PUNCT
ejpam-4586	2	53	bp	bp	PROPN
ejpam-4586	2	54	376	376	NUM
ejpam-4586	2	55	koudougou	koudougou	PROPN
ejpam-4586	2	56	,	,	PUNCT
ejpam-4586	2	57	burkina	burkina	PROPN
ejpam-4586	2	58	faso	faso	PROPN
ejpam-4586	2	59	abstract	abstract	PROPN
ejpam-4586	2	60	.	.	PUNCT
ejpam-4586	3	1	this	this	DET
ejpam-4586	3	2	paper	paper	NOUN
ejpam-4586	3	3	is	be	AUX
ejpam-4586	3	4	devoted	devote	VERB
ejpam-4586	3	5	to	to	ADP
ejpam-4586	3	6	the	the	DET
ejpam-4586	3	7	classification	classification	NOUN
ejpam-4586	3	8	of	of	ADP
ejpam-4586	3	9	train	train	NOUN
ejpam-4586	3	10	algebras	algebra	NOUN
ejpam-4586	3	11	of	of	ADP
ejpam-4586	3	12	degree	degree	NOUN
ejpam-4586	3	13	2	2	NUM
ejpam-4586	3	14	and	and	CCONJ
ejpam-4586	3	15	exponent	exponent	NOUN
ejpam-4586	3	16	4	4	NUM
ejpam-4586	3	17	.	.	PUNCT
ejpam-4586	4	1	this	this	DET
ejpam-4586	4	2	classification	classification	NOUN
ejpam-4586	4	3	is	be	AUX
ejpam-4586	4	4	made	make	VERB
ejpam-4586	4	5	in	in	ADP
ejpam-4586	4	6	dimension	dimension	NOUN
ejpam-4586	4	7	at	at	ADP
ejpam-4586	4	8	most	most	ADV
ejpam-4586	4	9	four	four	NUM
ejpam-4586	4	10	and	and	CCONJ
ejpam-4586	4	11	according	accord	VERB
ejpam-4586	4	12	to	to	ADP
ejpam-4586	4	13	the	the	DET
ejpam-4586	4	14	type	type	NOUN
ejpam-4586	4	15	of	of	ADP
ejpam-4586	4	16	the	the	DET
ejpam-4586	4	17	algebra	algebra	NOUN
ejpam-4586	4	18	.	.	PUNCT
ejpam-4586	5	1	we	we	PRON
ejpam-4586	5	2	first	first	ADV
ejpam-4586	5	3	show	show	VERB
ejpam-4586	5	4	that	that	SCONJ
ejpam-4586	5	5	in	in	ADP
ejpam-4586	5	6	four	four	NUM
ejpam-4586	5	7	dimension	dimension	NOUN
ejpam-4586	5	8	,	,	PUNCT
ejpam-4586	5	9	the	the	DET
ejpam-4586	5	10	type	type	NOUN
ejpam-4586	5	11	of	of	ADP
ejpam-4586	5	12	algebra	algebra	NOUN
ejpam-4586	5	13	can	can	AUX
ejpam-4586	5	14	only	only	ADV
ejpam-4586	5	15	be	be	AUX
ejpam-4586	5	16	of	of	ADP
ejpam-4586	5	17	(	(	PUNCT
ejpam-4586	5	18	2	2	NUM
ejpam-4586	5	19	,	,	PUNCT
ejpam-4586	5	20	0	0	NUM
ejpam-4586	5	21	,	,	PUNCT
ejpam-4586	5	22	1	1	NUM
ejpam-4586	5	23	,	,	PUNCT
ejpam-4586	5	24	1	1	NUM
ejpam-4586	5	25	)	)	PUNCT
ejpam-4586	5	26	,	,	PUNCT
ejpam-4586	5	27	(	(	PUNCT
ejpam-4586	5	28	2	2	NUM
ejpam-4586	5	29	,	,	PUNCT
ejpam-4586	5	30	1	1	NUM
ejpam-4586	5	31	,	,	PUNCT
ejpam-4586	5	32	0	0	NUM
ejpam-4586	5	33	,	,	PUNCT
ejpam-4586	5	34	1	1	NUM
ejpam-4586	5	35	)	)	PUNCT
ejpam-4586	5	36	or	or	CCONJ
ejpam-4586	5	37	(	(	PUNCT
ejpam-4586	5	38	2	2	NUM
ejpam-4586	5	39	,	,	PUNCT
ejpam-4586	5	40	1	1	NUM
ejpam-4586	5	41	,	,	PUNCT
ejpam-4586	5	42	1	1	NUM
ejpam-4586	5	43	,	,	PUNCT
ejpam-4586	5	44	0	0	NUM
ejpam-4586	5	45	)	)	PUNCT
ejpam-4586	5	46	.	.	PUNCT
ejpam-4586	6	1	2020	2020	NUM
ejpam-4586	6	2	mathematics	mathematic	NOUN
ejpam-4586	6	3	subject	subject	NOUN
ejpam-4586	6	4	classifications	classification	NOUN
ejpam-4586	6	5	:	:	PUNCT
ejpam-4586	6	6	17d92,17a05	17d92,17a05	NUM
ejpam-4586	6	7	key	key	ADJ
ejpam-4586	6	8	words	word	NOUN
ejpam-4586	6	9	and	and	CCONJ
ejpam-4586	6	10	phrases	phrase	NOUN
ejpam-4586	6	11	:	:	PUNCT
ejpam-4586	6	12	peirce	peirce	NOUN
ejpam-4586	6	13	decomposition	decomposition	NOUN
ejpam-4586	6	14	,	,	PUNCT
ejpam-4586	6	15	train	train	NOUN
ejpam-4586	6	16	algebra	algebra	NOUN
ejpam-4586	6	17	of	of	ADP
ejpam-4586	6	18	degree	degree	NOUN
ejpam-4586	6	19	2	2	NUM
ejpam-4586	6	20	and	and	CCONJ
ejpam-4586	6	21	exponent	exponent	NOUN
ejpam-4586	6	22	4	4	NUM
ejpam-4586	6	23	,	,	PUNCT
ejpam-4586	6	24	bernstein	bernstein	PROPN
ejpam-4586	6	25	algebra	algebra	PROPN
ejpam-4586	6	26	,	,	PUNCT
ejpam-4586	6	27	idempotent	idempotent	ADJ
ejpam-4586	6	28	1	1	NUM
ejpam-4586	6	29	.	.	PUNCT
ejpam-4586	6	30	introduction	introduction	NOUN
ejpam-4586	6	31	several	several	ADJ
ejpam-4586	6	32	nonassociative	nonassociative	ADJ
ejpam-4586	6	33	algebras	algebra	NOUN
ejpam-4586	6	34	verifying	verify	VERB
ejpam-4586	6	35	polynomial	polynomial	ADJ
ejpam-4586	6	36	identities	identity	NOUN
ejpam-4586	6	37	are	be	AUX
ejpam-4586	6	38	used	use	VERB
ejpam-4586	6	39	in	in	ADP
ejpam-4586	6	40	algebra	algebra	NOUN
ejpam-4586	6	41	modeling	modeling	NOUN
ejpam-4586	6	42	of	of	ADP
ejpam-4586	6	43	population	population	NOUN
ejpam-4586	6	44	genetics	genetic	NOUN
ejpam-4586	6	45	.	.	PUNCT
ejpam-4586	7	1	we	we	PRON
ejpam-4586	7	2	can	can	AUX
ejpam-4586	7	3	cite	cite	VERB
ejpam-4586	7	4	among	among	ADP
ejpam-4586	7	5	others	other	NOUN
ejpam-4586	7	6	,	,	PUNCT
ejpam-4586	7	7	bernstein	bernstein	PROPN
ejpam-4586	7	8	algebras	algebras	PROPN
ejpam-4586	7	9	(	(	PUNCT
ejpam-4586	7	10	cf	cf	X
ejpam-4586	7	11	[	[	X
ejpam-4586	7	12	2],[6],[8	2],[6],[8	NUM
ejpam-4586	7	13	]	]	X
ejpam-4586	7	14	)	)	PUNCT
ejpam-4586	7	15	,	,	PUNCT
ejpam-4586	7	16	jordan	jordan	PROPN
ejpam-4586	7	17	algebras	algebras	PROPN
ejpam-4586	7	18	(	(	PUNCT
ejpam-4586	7	19	see	see	VERB
ejpam-4586	7	20	[	[	X
ejpam-4586	7	21	10],[7	10],[7	NOUN
ejpam-4586	7	22	]	]	PUNCT
ejpam-4586	7	23	)	)	PUNCT
ejpam-4586	7	24	,	,	PUNCT
ejpam-4586	7	25	power	power	NOUN
ejpam-4586	7	26	-	-	PUNCT
ejpam-4586	7	27	associative	associative	NOUN
ejpam-4586	7	28	train	train	NOUN
ejpam-4586	7	29	algebras	algebra	NOUN
ejpam-4586	7	30	(	(	PUNCT
ejpam-4586	7	31	[	[	X
ejpam-4586	7	32	5	5	NUM
ejpam-4586	7	33	]	]	PUNCT
ejpam-4586	7	34	)	)	PUNCT
ejpam-4586	7	35	train	train	NOUN
ejpam-4586	7	36	algebras	algebra	NOUN
ejpam-4586	7	37	of	of	ADP
ejpam-4586	7	38	degree	degree	NOUN
ejpam-4586	7	39	2	2	NUM
ejpam-4586	7	40	and	and	CCONJ
ejpam-4586	7	41	exponent	exponent	NOUN
ejpam-4586	7	42	n	n	CCONJ
ejpam-4586	7	43	(	(	PUNCT
ejpam-4586	7	44	[	[	X
ejpam-4586	7	45	9],[4	9],[4	NUM
ejpam-4586	7	46	]	]	PUNCT
ejpam-4586	7	47	)	)	PUNCT
ejpam-4586	7	48	.	.	PUNCT
ejpam-4586	8	1	in	in	ADP
ejpam-4586	8	2	[	[	X
ejpam-4586	8	3	1	1	X
ejpam-4586	8	4	]	]	PUNCT
ejpam-4586	8	5	the	the	DET
ejpam-4586	8	6	authors	author	NOUN
ejpam-4586	8	7	defined	define	VERB
ejpam-4586	8	8	an	an	DET
ejpam-4586	8	9	algebra	algebra	NOUN
ejpam-4586	8	10	satisfying	satisfy	VERB
ejpam-4586	8	11	a	a	DET
ejpam-4586	8	12	train	train	NOUN
ejpam-4586	8	13	identity	identity	NOUN
ejpam-4586	8	14	of	of	ADP
ejpam-4586	8	15	degree	degree	NOUN
ejpam-4586	8	16	2	2	NUM
ejpam-4586	8	17	and	and	CCONJ
ejpam-4586	8	18	exponent	exponent	NOUN
ejpam-4586	8	19	4	4	NUM
ejpam-4586	8	20	as	as	ADP
ejpam-4586	8	21	an	an	DET
ejpam-4586	8	22	algebra	algebra	NOUN
ejpam-4586	8	23	a	a	DET
ejpam-4586	8	24	such	such	ADJ
ejpam-4586	8	25	that	that	PRON
ejpam-4586	8	26	for	for	ADP
ejpam-4586	8	27	any	any	DET
ejpam-4586	8	28	x	x	NOUN
ejpam-4586	8	29	in	in	ADP
ejpam-4586	8	30	a	a	PRON
ejpam-4586	8	31	,	,	PUNCT
ejpam-4586	8	32	we	we	PRON
ejpam-4586	8	33	have	have	VERB
ejpam-4586	8	34	:	:	PUNCT
ejpam-4586	8	35	(	(	PUNCT
ejpam-4586	8	36	x4)2	x4)2	PUNCT
ejpam-4586	8	37	=	=	SYM
ejpam-4586	8	38	ω(x)4x4	ω(x)4x4	PROPN
ejpam-4586	8	39	,	,	PUNCT
ejpam-4586	8	40	where	where	SCONJ
ejpam-4586	8	41	k	k	PROPN
ejpam-4586	8	42	is	be	AUX
ejpam-4586	8	43	an	an	DET
ejpam-4586	8	44	infinite	infinite	ADJ
ejpam-4586	8	45	and	and	CCONJ
ejpam-4586	8	46	algebrically	algebrically	ADV
ejpam-4586	8	47	closed	close	VERB
ejpam-4586	8	48	commutative	commutative	ADJ
ejpam-4586	8	49	field	field	NOUN
ejpam-4586	8	50	of	of	ADP
ejpam-4586	8	51	characteristic	characteristic	ADJ
ejpam-4586	8	52	different	different	ADV
ejpam-4586	8	53	from	from	ADP
ejpam-4586	8	54	2	2	NUM
ejpam-4586	8	55	and	and	CCONJ
ejpam-4586	8	56	3	3	NUM
ejpam-4586	8	57	.	.	X
ejpam-4586	9	1	if	if	SCONJ
ejpam-4586	9	2	such	such	DET
ejpam-4586	9	3	an	an	DET
ejpam-4586	9	4	algebra	algebra	NOUN
ejpam-4586	9	5	does	do	AUX
ejpam-4586	9	6	not	not	PART
ejpam-4586	9	7	verify	verify	VERB
ejpam-4586	9	8	a	a	DET
ejpam-4586	9	9	polynomial	polynomial	ADJ
ejpam-4586	9	10	identity	identity	NOUN
ejpam-4586	9	11	of	of	ADP
ejpam-4586	9	12	degree	degree	NOUN
ejpam-4586	9	13	less	less	ADJ
ejpam-4586	9	14	than	than	ADP
ejpam-4586	9	15	or	or	CCONJ
ejpam-4586	9	16	equal	equal	ADJ
ejpam-4586	9	17	to	to	ADP
ejpam-4586	9	18	7	7	NUM
ejpam-4586	9	19	,	,	PUNCT
ejpam-4586	9	20	we	we	PRON
ejpam-4586	9	21	say	say	VERB
ejpam-4586	9	22	that	that	SCONJ
ejpam-4586	9	23	it	it	PRON
ejpam-4586	9	24	is	be	AUX
ejpam-4586	9	25	a	a	DET
ejpam-4586	9	26	train	train	NOUN
ejpam-4586	9	27	algebras	algebra	NOUN
ejpam-4586	9	28	of	of	ADP
ejpam-4586	9	29	degree	degree	NOUN
ejpam-4586	9	30	2	2	NUM
ejpam-4586	9	31	and	and	CCONJ
ejpam-4586	9	32	exponent	exponent	NOUN
ejpam-4586	9	33	4	4	NUM
ejpam-4586	9	34	.	.	PUNCT
ejpam-4586	10	1	this	this	DET
ejpam-4586	10	2	class	class	NOUN
ejpam-4586	10	3	of	of	ADP
ejpam-4586	10	4	algebras	algebras	PROPN
ejpam-4586	10	5	models	model	NOUN
ejpam-4586	10	6	populations	population	NOUN
ejpam-4586	10	7	whose	whose	DET
ejpam-4586	10	8	genetic	genetic	ADJ
ejpam-4586	10	9	potential	potential	NOUN
ejpam-4586	10	10	becomes	become	VERB
ejpam-4586	10	11	stable	stable	ADJ
ejpam-4586	10	12	in	in	ADP
ejpam-4586	10	13	the	the	DET
ejpam-4586	10	14	fourth	fourth	ADJ
ejpam-4586	10	15	generation	generation	NOUN
ejpam-4586	10	16	.	.	PUNCT
ejpam-4586	11	1	in	in	ADP
ejpam-4586	11	2	particular	particular	ADJ
ejpam-4586	11	3	,	,	PUNCT
ejpam-4586	11	4	this	this	DET
ejpam-4586	11	5	class	class	NOUN
ejpam-4586	11	6	contains	contain	VERB
ejpam-4586	11	7	bernstein	bernstein	PROPN
ejpam-4586	11	8	algebras([3	algebras([3	PROPN
ejpam-4586	11	9	]	]	PUNCT
ejpam-4586	11	10	)	)	PUNCT
ejpam-4586	11	11	.	.	PUNCT
ejpam-4586	12	1	in	in	ADP
ejpam-4586	12	2	this	this	DET
ejpam-4586	12	3	paper	paper	NOUN
ejpam-4586	12	4	we	we	PRON
ejpam-4586	12	5	are	be	AUX
ejpam-4586	12	6	interested	interested	ADJ
ejpam-4586	12	7	in	in	ADP
ejpam-4586	12	8	the	the	DET
ejpam-4586	12	9	classification	classification	NOUN
ejpam-4586	12	10	of	of	ADP
ejpam-4586	12	11	these	these	DET
ejpam-4586	12	12	algebras	algebra	NOUN
ejpam-4586	12	13	in	in	ADP
ejpam-4586	12	14	dimension	dimension	NOUN
ejpam-4586	12	15	4	4	NUM
ejpam-4586	12	16	;	;	PUNCT
ejpam-4586	12	17	it	it	PRON
ejpam-4586	12	18	is	be	AUX
ejpam-4586	12	19	made	make	VERB
ejpam-4586	12	20	according	accord	VERB
ejpam-4586	12	21	to	to	ADP
ejpam-4586	12	22	the	the	DET
ejpam-4586	12	23	type	type	NOUN
ejpam-4586	12	24	of	of	ADP
ejpam-4586	12	25	the	the	DET
ejpam-4586	12	26	algebra	algebra	NOUN
ejpam-4586	12	27	a	a	PRON
ejpam-4586	12	28	;	;	PUNCT
ejpam-4586	12	29	this	this	DET
ejpam-4586	12	30	one	one	NOUN
ejpam-4586	12	31	can	can	AUX
ejpam-4586	12	32	not	not	PART
ejpam-4586	12	33	be	be	AUX
ejpam-4586	12	34	of	of	ADP
ejpam-4586	12	35	lower	low	ADJ
ejpam-4586	12	36	dimension	dimension	NOUN
ejpam-4586	12	37	.	.	PUNCT
ejpam-4586	13	1	∗corresponding	∗corresponde	VERB
ejpam-4586	13	2	author	author	NOUN
ejpam-4586	13	3	.	.	PUNCT
ejpam-4586	14	1	doi	doi	NOUN
ejpam-4586	14	2	:	:	PUNCT
ejpam-4586	14	3	https://doi.org/10.29020/nybg.ejpam.v15i4.4586	https://doi.org/10.29020/nybg.ejpam.v15i4.4586	NOUN
ejpam-4586	14	4	email	email	NOUN
ejpam-4586	14	5	addresses	address	NOUN
ejpam-4586	14	6	:	:	PUNCT
ejpam-4586	14	7	achilzangre@gmail.com	achilzangre@gmail.com	X
ejpam-4586	14	8	(	(	PUNCT
ejpam-4586	14	9	w.a	w.a	PROPN
ejpam-4586	14	10	.	.	PROPN
ejpam-4586	14	11	zangre	zangre	PROPN
ejpam-4586	14	12	)	)	PUNCT
ejpam-4586	14	13	,	,	PUNCT
ejpam-4586	14	14	andreconsebo@yahoo.fr	andreconsebo@yahoo.fr	PROPN
ejpam-4586	14	15	(	(	PUNCT
ejpam-4586	14	16	a.	a.	NOUN
ejpam-4586	14	17	conseibo	conseibo	PROPN
ejpam-4586	14	18	)	)	PUNCT
ejpam-4586	14	19	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4586	14	20	1887	1887	NUM
ejpam-4586	15	1	©	©	ADP
ejpam-4586	15	2	2022	2022	NUM
ejpam-4586	15	3	ejpam	ejpam	VERB
ejpam-4586	15	4	all	all	DET
ejpam-4586	15	5	rights	right	NOUN
ejpam-4586	15	6	reserved	reserve	VERB
ejpam-4586	15	7	.	.	PUNCT
ejpam-4586	16	1	w.	w.	PROPN
ejpam-4586	16	2	a.	a.	PROPN
ejpam-4586	16	3	zangre	zangre	PROPN
ejpam-4586	16	4	,	,	PUNCT
ejpam-4586	16	5	a.	a.	NOUN
ejpam-4586	16	6	conseibo	conseibo	PROPN
ejpam-4586	16	7	/	/	SYM
ejpam-4586	16	8	eur	eur	PROPN
ejpam-4586	16	9	.	.	PUNCT
ejpam-4586	17	1	j.	j.	PROPN
ejpam-4586	17	2	pure	pure	PROPN
ejpam-4586	17	3	appl	appl	PROPN
ejpam-4586	17	4	.	.	PROPN
ejpam-4586	17	5	math	math	PROPN
ejpam-4586	17	6	,	,	PUNCT
ejpam-4586	17	7	15	15	NUM
ejpam-4586	17	8	(	(	PUNCT
ejpam-4586	17	9	4	4	NUM
ejpam-4586	17	10	)	)	PUNCT
ejpam-4586	17	11	(	(	PUNCT
ejpam-4586	17	12	2022	2022	NUM
ejpam-4586	17	13	)	)	PUNCT
ejpam-4586	17	14	,	,	PUNCT
ejpam-4586	17	15	1887	1887	NUM
ejpam-4586	17	16	-	-	SYM
ejpam-4586	17	17	1907	1907	NUM
ejpam-4586	17	18	1888	1888	NUM
ejpam-4586	17	19	2	2	NUM
ejpam-4586	17	20	.	.	PUNCT
ejpam-4586	17	21	preliminaries	preliminary	NOUN
ejpam-4586	17	22	let	let	VERB
ejpam-4586	17	23	k	k	PRON
ejpam-4586	17	24	be	be	AUX
ejpam-4586	17	25	a	a	DET
ejpam-4586	17	26	commutative	commutative	ADJ
ejpam-4586	17	27	field	field	NOUN
ejpam-4586	17	28	and	and	CCONJ
ejpam-4586	17	29	a	a	DET
ejpam-4586	17	30	a	a	DET
ejpam-4586	17	31	commutative	commutative	ADJ
ejpam-4586	17	32	k	k	NOUN
ejpam-4586	17	33	-	-	NOUN
ejpam-4586	17	34	algebra	algebra	PROPN
ejpam-4586	17	35	,	,	PUNCT
ejpam-4586	17	36	not	not	PART
ejpam-4586	17	37	necessarily	necessarily	ADV
ejpam-4586	17	38	associative	associative	ADJ
ejpam-4586	17	39	.	.	PUNCT
ejpam-4586	18	1	for	for	ADP
ejpam-4586	18	2	any	any	DET
ejpam-4586	18	3	element	element	NOUN
ejpam-4586	18	4	x	x	PUNCT
ejpam-4586	18	5	of	of	ADP
ejpam-4586	18	6	a	a	PRON
ejpam-4586	18	7	we	we	PRON
ejpam-4586	18	8	define	define	VERB
ejpam-4586	18	9	the	the	DET
ejpam-4586	18	10	principal	principal	ADJ
ejpam-4586	18	11	powers	power	NOUN
ejpam-4586	18	12	of	of	ADP
ejpam-4586	18	13	x	x	PUNCT
ejpam-4586	18	14	by	by	ADP
ejpam-4586	18	15	:	:	PUNCT
ejpam-4586	18	16	x1	x1	PROPN
ejpam-4586	18	17	=	=	SYM
ejpam-4586	18	18	x	x	NOUN
ejpam-4586	18	19	,	,	PUNCT
ejpam-4586	18	20	xk+1	xk+1	PROPN
ejpam-4586	19	1	=	=	SYM
ejpam-4586	19	2	xxk	xxk	PROPN
ejpam-4586	19	3	for	for	ADP
ejpam-4586	19	4	any	any	DET
ejpam-4586	19	5	integer	integer	NOUN
ejpam-4586	19	6	k	k	PROPN
ejpam-4586	19	7	≥	≥	NUM
ejpam-4586	19	8	1	1	NUM
ejpam-4586	19	9	.	.	PUNCT
ejpam-4586	20	1	we	we	PRON
ejpam-4586	20	2	will	will	AUX
ejpam-4586	20	3	say	say	VERB
ejpam-4586	20	4	that	that	SCONJ
ejpam-4586	20	5	the	the	DET
ejpam-4586	20	6	algebra	algebra	NOUN
ejpam-4586	20	7	a	a	PRON
ejpam-4586	20	8	is	be	AUX
ejpam-4586	20	9	a	a	DET
ejpam-4586	20	10	baric	baric	ADJ
ejpam-4586	20	11	algebra	algebra	NOUN
ejpam-4586	20	12	if	if	SCONJ
ejpam-4586	20	13	there	there	PRON
ejpam-4586	20	14	exists	exist	VERB
ejpam-4586	20	15	a	a	DET
ejpam-4586	20	16	non	non	ADJ
ejpam-4586	20	17	-	-	ADJ
ejpam-4586	20	18	zero	zero	ADJ
ejpam-4586	20	19	homomorphism	homomorphism	NOUN
ejpam-4586	20	20	of	of	ADP
ejpam-4586	20	21	algebras	algebras	PROPN
ejpam-4586	20	22	ω	ω	PROPN
ejpam-4586	20	23	:	:	PUNCT
ejpam-4586	20	24	a	a	PRON
ejpam-4586	20	25	→	→	X
ejpam-4586	20	26	k	k	NOUN
ejpam-4586	20	27	called	call	VERB
ejpam-4586	20	28	the	the	DET
ejpam-4586	20	29	weight	weight	NOUN
ejpam-4586	20	30	function	function	NOUN
ejpam-4586	20	31	of	of	ADP
ejpam-4586	20	32	the	the	DET
ejpam-4586	20	33	algebra	algebra	NOUN
ejpam-4586	20	34	a.	a.	NOUN
ejpam-4586	20	35	the	the	DET
ejpam-4586	20	36	weight	weight	NOUN
ejpam-4586	20	37	of	of	ADP
ejpam-4586	20	38	an	an	DET
ejpam-4586	20	39	element	element	NOUN
ejpam-4586	20	40	x	x	X
ejpam-4586	20	41	of	of	ADP
ejpam-4586	20	42	a	a	PRON
ejpam-4586	20	43	is	be	AUX
ejpam-4586	20	44	the	the	DET
ejpam-4586	20	45	scalar	scalar	ADJ
ejpam-4586	20	46	ω(x	ω(x	NOUN
ejpam-4586	20	47	)	)	PUNCT
ejpam-4586	20	48	.	.	PUNCT
ejpam-4586	21	1	a	a	DET
ejpam-4586	21	2	baric	baric	ADJ
ejpam-4586	21	3	k	k	NOUN
ejpam-4586	21	4	-	-	NOUN
ejpam-4586	21	5	algebra	algebra	NOUN
ejpam-4586	21	6	(	(	PUNCT
ejpam-4586	21	7	a	a	DET
ejpam-4586	21	8	,	,	PUNCT
ejpam-4586	21	9	ω	ω	NOUN
ejpam-4586	21	10	)	)	PUNCT
ejpam-4586	21	11	is	be	AUX
ejpam-4586	21	12	a	a	DET
ejpam-4586	21	13	bernstein	bernstein	PROPN
ejpam-4586	21	14	algebra	algebra	PROPN
ejpam-4586	21	15	if	if	SCONJ
ejpam-4586	21	16	(	(	PUNCT
ejpam-4586	21	17	x2)2	x2)2	PRON
ejpam-4586	21	18	=	=	PUNCT
ejpam-4586	21	19	ω(x)2x2	ω(x)2x2	NOUN
ejpam-4586	21	20	for	for	ADP
ejpam-4586	21	21	any	any	DET
ejpam-4586	21	22	x	x	NOUN
ejpam-4586	21	23	in	in	ADP
ejpam-4586	21	24	a.	a.	NOUN
ejpam-4586	21	25	in	in	ADP
ejpam-4586	21	26	the	the	DET
ejpam-4586	21	27	following	following	NOUN
ejpam-4586	21	28	k	k	PROPN
ejpam-4586	21	29	is	be	AUX
ejpam-4586	21	30	a	a	DET
ejpam-4586	21	31	commutative	commutative	ADJ
ejpam-4586	21	32	algebraically	algebraically	ADV
ejpam-4586	21	33	closed	close	VERB
ejpam-4586	21	34	field	field	NOUN
ejpam-4586	21	35	of	of	ADP
ejpam-4586	21	36	characteristic	characteristic	ADJ
ejpam-4586	21	37	distinct	distinct	NOUN
ejpam-4586	21	38	from	from	ADP
ejpam-4586	21	39	2	2	NUM
ejpam-4586	21	40	and	and	CCONJ
ejpam-4586	21	41	3	3	NUM
ejpam-4586	21	42	,	,	PUNCT
ejpam-4586	21	43	and	and	CCONJ
ejpam-4586	21	44	a	a	PRON
ejpam-4586	21	45	is	be	AUX
ejpam-4586	21	46	a	a	DET
ejpam-4586	21	47	commutative	commutative	ADJ
ejpam-4586	21	48	nonassociative	nonassociative	ADJ
ejpam-4586	21	49	algebra	algebra	NOUN
ejpam-4586	21	50	.	.	PUNCT
ejpam-4586	22	1	a	a	DET
ejpam-4586	22	2	baric	baric	ADJ
ejpam-4586	22	3	algebra	algebra	NOUN
ejpam-4586	22	4	(	(	PUNCT
ejpam-4586	22	5	a	a	DET
ejpam-4586	22	6	,	,	PUNCT
ejpam-4586	22	7	ω	ω	NOUN
ejpam-4586	22	8	)	)	PUNCT
ejpam-4586	22	9	satisfies	satisfy	VERB
ejpam-4586	22	10	a	a	DET
ejpam-4586	22	11	train	train	NOUN
ejpam-4586	22	12	identity	identity	NOUN
ejpam-4586	22	13	of	of	ADP
ejpam-4586	22	14	degree	degree	NOUN
ejpam-4586	22	15	2	2	NUM
ejpam-4586	22	16	and	and	CCONJ
ejpam-4586	22	17	exponent	exponent	NOUN
ejpam-4586	22	18	4	4	NUM
ejpam-4586	22	19	if	if	SCONJ
ejpam-4586	22	20	for	for	ADP
ejpam-4586	22	21	any	any	DET
ejpam-4586	22	22	x	x	NOUN
ejpam-4586	22	23	in	in	ADP
ejpam-4586	22	24	a	a	PRON
ejpam-4586	22	25	,	,	PUNCT
ejpam-4586	22	26	we	we	PRON
ejpam-4586	22	27	have	have	VERB
ejpam-4586	22	28	:	:	PUNCT
ejpam-4586	22	29	(	(	PUNCT
ejpam-4586	22	30	x4)2	x4)2	PUNCT
ejpam-4586	22	31	=	=	SYM
ejpam-4586	22	32	ω(x)4x4	ω(x)4x4	PROPN
ejpam-4586	22	33	.	.	PUNCT
ejpam-4586	23	1	(	(	PUNCT
ejpam-4586	23	2	1	1	X
ejpam-4586	23	3	)	)	PUNCT
ejpam-4586	23	4	an	an	DET
ejpam-4586	23	5	algebra	algebra	NOUN
ejpam-4586	23	6	a	a	PRON
ejpam-4586	23	7	is	be	AUX
ejpam-4586	23	8	called	call	VERB
ejpam-4586	23	9	a	a	DET
ejpam-4586	23	10	train	train	NOUN
ejpam-4586	23	11	algebra	algebra	NOUN
ejpam-4586	23	12	of	of	ADP
ejpam-4586	23	13	degree	degree	NOUN
ejpam-4586	23	14	2	2	NUM
ejpam-4586	23	15	and	and	CCONJ
ejpam-4586	23	16	exponent	exponent	NOUN
ejpam-4586	23	17	4	4	NUM
ejpam-4586	23	18	if	if	SCONJ
ejpam-4586	23	19	it	it	PRON
ejpam-4586	23	20	satisfies	satisfy	VERB
ejpam-4586	23	21	a	a	DET
ejpam-4586	23	22	train	train	NOUN
ejpam-4586	23	23	identity	identity	NOUN
ejpam-4586	23	24	of	of	ADP
ejpam-4586	23	25	degree	degree	NOUN
ejpam-4586	23	26	2	2	NUM
ejpam-4586	23	27	and	and	CCONJ
ejpam-4586	23	28	exponent	exponent	NOUN
ejpam-4586	23	29	4	4	NUM
ejpam-4586	23	30	and	and	CCONJ
ejpam-4586	23	31	does	do	AUX
ejpam-4586	23	32	not	not	PART
ejpam-4586	23	33	verify	verify	VERB
ejpam-4586	23	34	a	a	DET
ejpam-4586	23	35	polynomial	polynomial	ADJ
ejpam-4586	23	36	identity	identity	NOUN
ejpam-4586	23	37	of	of	ADP
ejpam-4586	23	38	degree	degree	NOUN
ejpam-4586	23	39	less	less	ADJ
ejpam-4586	23	40	than	than	ADP
ejpam-4586	23	41	8	8	NUM
ejpam-4586	23	42	.	.	PUNCT
ejpam-4586	24	1	for	for	ADP
ejpam-4586	24	2	an	an	DET
ejpam-4586	24	3	element	element	NOUN
ejpam-4586	24	4	x	x	PUNCT
ejpam-4586	24	5	of	of	ADP
ejpam-4586	24	6	weight	weight	NOUN
ejpam-4586	24	7	1	1	NUM
ejpam-4586	24	8	in	in	ADP
ejpam-4586	24	9	a	a	DET
ejpam-4586	24	10	(	(	PUNCT
ejpam-4586	24	11	i.e.	i.e.	X
ejpam-4586	24	12	ω(x	ω(x	NOUN
ejpam-4586	24	13	)	)	PUNCT
ejpam-4586	24	14	=	=	SYM
ejpam-4586	24	15	1	1	NUM
ejpam-4586	24	16	)	)	PUNCT
ejpam-4586	24	17	,	,	PUNCT
ejpam-4586	24	18	the	the	DET
ejpam-4586	24	19	identity	identity	NOUN
ejpam-4586	24	20	(	(	PUNCT
ejpam-4586	24	21	1	1	X
ejpam-4586	24	22	)	)	PUNCT
ejpam-4586	24	23	gives	give	VERB
ejpam-4586	24	24	(	(	PUNCT
ejpam-4586	24	25	x4)2	x4)2	PUNCT
ejpam-4586	24	26	=	=	SYM
ejpam-4586	24	27	x4	x4	PROPN
ejpam-4586	24	28	and	and	CCONJ
ejpam-4586	24	29	thus	thus	ADV
ejpam-4586	24	30	x4	x4	PROPN
ejpam-4586	24	31	is	be	AUX
ejpam-4586	24	32	an	an	DET
ejpam-4586	24	33	non	non	ADJ
ejpam-4586	24	34	zero	zero	NUM
ejpam-4586	24	35	idempotent	idempotent	NOUN
ejpam-4586	24	36	of	of	ADP
ejpam-4586	24	37	a.	a.	NOUN
ejpam-4586	24	38	in	in	ADP
ejpam-4586	24	39	[	[	X
ejpam-4586	24	40	1	1	NUM
ejpam-4586	24	41	]	]	PUNCT
ejpam-4586	24	42	,	,	PUNCT
ejpam-4586	24	43	the	the	DET
ejpam-4586	24	44	authors	author	NOUN
ejpam-4586	24	45	have	have	AUX
ejpam-4586	24	46	established	establish	VERB
ejpam-4586	24	47	the	the	DET
ejpam-4586	24	48	following	follow	VERB
ejpam-4586	24	49	two	two	NUM
ejpam-4586	24	50	theorems	theorem	NOUN
ejpam-4586	24	51	:	:	PUNCT
ejpam-4586	24	52	theorem	theorem	NOUN
ejpam-4586	24	53	1	1	X
ejpam-4586	24	54	.	.	PUNCT
ejpam-4586	25	1	let	let	VERB
ejpam-4586	25	2	a	a	DET
ejpam-4586	25	3	be	be	AUX
ejpam-4586	25	4	an	an	DET
ejpam-4586	25	5	algebra	algebra	NOUN
ejpam-4586	25	6	satisfying	satisfy	VERB
ejpam-4586	25	7	a	a	DET
ejpam-4586	25	8	train	train	NOUN
ejpam-4586	25	9	identity	identity	NOUN
ejpam-4586	25	10	of	of	ADP
ejpam-4586	25	11	degree	degree	NOUN
ejpam-4586	25	12	2	2	NUM
ejpam-4586	25	13	and	and	CCONJ
ejpam-4586	25	14	exponent	exponent	NOUN
ejpam-4586	25	15	4	4	NUM
ejpam-4586	25	16	.	.	PUNCT
ejpam-4586	26	1	then	then	ADV
ejpam-4586	26	2	a	a	PRON
ejpam-4586	26	3	has	have	VERB
ejpam-4586	26	4	a	a	DET
ejpam-4586	26	5	peirce	peirce	NOUN
ejpam-4586	26	6	decomposition	decomposition	NOUN
ejpam-4586	26	7	a	a	DET
ejpam-4586	26	8	=	=	SYM
ejpam-4586	26	9	ke⊕a1/2⊕a0⊕aλ⊕aλ	ke⊕a1/2⊕a0⊕aλ⊕aλ	NOUN
ejpam-4586	26	10	,	,	PUNCT
ejpam-4586	26	11	where	where	SCONJ
ejpam-4586	26	12	e2	e2	PROPN
ejpam-4586	26	13	=	=	SYM
ejpam-4586	26	14	e	e	PROPN
ejpam-4586	26	15	̸=	̸=	PROPN
ejpam-4586	26	16	0	0	NUM
ejpam-4586	26	17	and	and	CCONJ
ejpam-4586	26	18	aα	aα	NOUN
ejpam-4586	26	19	=	=	PRON
ejpam-4586	26	20	{	{	PUNCT
ejpam-4586	26	21	y	y	PROPN
ejpam-4586	26	22	∈	∈	PROPN
ejpam-4586	26	23	ker(ω	ker(ω	PROPN
ejpam-4586	26	24	)	)	PUNCT
ejpam-4586	27	1	|	|	ADV
ejpam-4586	27	2	ey	ey	INTJ
ejpam-4586	27	3	=	=	ADJ
ejpam-4586	27	4	αy	αy	NOUN
ejpam-4586	27	5	}	}	PUNCT
ejpam-4586	27	6	for	for	ADP
ejpam-4586	27	7	α	α	PRON
ejpam-4586	27	8	∈	∈	PROPN
ejpam-4586	27	9	{	{	PUNCT
ejpam-4586	27	10	0	0	NUM
ejpam-4586	27	11	;	;	PUNCT
ejpam-4586	27	12	1/2;λ	1/2;λ	NUM
ejpam-4586	27	13	=	=	SYM
ejpam-4586	27	14	−1	−1	NOUN
ejpam-4586	28	1	+	+	CCONJ
ejpam-4586	28	2	i	i	PRON
ejpam-4586	28	3	√	√	VERB
ejpam-4586	28	4	7	7	NUM
ejpam-4586	28	5	4	4	NUM
ejpam-4586	28	6	;	;	PUNCT
ejpam-4586	28	7	λ	λ	X
ejpam-4586	28	8	=	=	VERB
ejpam-4586	28	9	−1	−1	NOUN
ejpam-4586	29	1	+	+	CCONJ
ejpam-4586	29	2	i	i	PRON
ejpam-4586	29	3	√	√	VERB
ejpam-4586	29	4	7	7	NUM
ejpam-4586	29	5	4	4	NUM
ejpam-4586	29	6	}	}	PUNCT
ejpam-4586	29	7	.	.	PUNCT
ejpam-4586	30	1	theorem	theorem	NOUN
ejpam-4586	30	2	2	2	NUM
ejpam-4586	30	3	.	.	PUNCT
ejpam-4586	31	1	let	let	VERB
ejpam-4586	31	2	a	a	DET
ejpam-4586	31	3	=	=	SYM
ejpam-4586	31	4	ke⊕a1/2	ke⊕a1/2	PROPN
ejpam-4586	31	5	⊕a0	⊕a0	PROPN
ejpam-4586	31	6	⊕aλ	⊕aλ	NOUN
ejpam-4586	31	7	⊕aλ	⊕aλ	NOUN
ejpam-4586	31	8	be	be	VERB
ejpam-4586	31	9	a	a	DET
ejpam-4586	31	10	peirce	peirce	NOUN
ejpam-4586	31	11	decomposition	decomposition	NOUN
ejpam-4586	31	12	relative	relative	ADJ
ejpam-4586	31	13	to	to	ADP
ejpam-4586	31	14	a	a	DET
ejpam-4586	31	15	non	non	ADJ
ejpam-4586	31	16	-	-	ADJ
ejpam-4586	31	17	zero	zero	ADJ
ejpam-4586	31	18	idempotent	idempotent	ADJ
ejpam-4586	31	19	e	e	NOUN
ejpam-4586	31	20	of	of	ADP
ejpam-4586	31	21	an	an	DET
ejpam-4586	31	22	algebra	algebra	NOUN
ejpam-4586	31	23	satisfying	satisfy	VERB
ejpam-4586	31	24	a	a	DET
ejpam-4586	31	25	train	train	NOUN
ejpam-4586	31	26	identity	identity	NOUN
ejpam-4586	31	27	of	of	ADP
ejpam-4586	31	28	degree	degree	NOUN
ejpam-4586	31	29	2	2	NUM
ejpam-4586	31	30	and	and	CCONJ
ejpam-4586	31	31	exponent	exponent	NOUN
ejpam-4586	31	32	4	4	NUM
ejpam-4586	31	33	.	.	PUNCT
ejpam-4586	32	1	then	then	ADV
ejpam-4586	32	2	:	:	PUNCT
ejpam-4586	32	3	(	(	PUNCT
ejpam-4586	32	4	i	i	NOUN
ejpam-4586	32	5	)	)	PUNCT
ejpam-4586	32	6	a2	a2	PROPN
ejpam-4586	32	7	0	0	PROPN
ejpam-4586	33	1	⊂	⊂	PROPN
ejpam-4586	33	2	a0	a0	PROPN
ejpam-4586	33	3	⊕a1/2	⊕a1/2	PROPN
ejpam-4586	33	4	;	;	PUNCT
ejpam-4586	33	5	(	(	PUNCT
ejpam-4586	33	6	ii	ii	NOUN
ejpam-4586	33	7	)	)	PUNCT
ejpam-4586	33	8	a2	a2	PROPN
ejpam-4586	33	9	1/2	1/2	NUM
ejpam-4586	33	10	⊂	⊂	PROPN
ejpam-4586	33	11	a0	a0	PROPN
ejpam-4586	33	12	⊕aλ	⊕aλ	PROPN
ejpam-4586	33	13	⊕aλ	⊕aλ	PROPN
ejpam-4586	33	14	;	;	PUNCT
ejpam-4586	33	15	(	(	PUNCT
ejpam-4586	33	16	iii	iii	X
ejpam-4586	33	17	)	)	PUNCT
ejpam-4586	33	18	a2	a2	PROPN
ejpam-4586	33	19	λ	λ	PROPN
ejpam-4586	33	20	⊂	⊂	PROPN
ejpam-4586	33	21	a1/2	a1/2	PROPN
ejpam-4586	33	22	;	;	PUNCT
ejpam-4586	33	23	(	(	PUNCT
ejpam-4586	33	24	iv	iv	X
ejpam-4586	33	25	)	)	PUNCT
ejpam-4586	33	26	a2	a2	PROPN
ejpam-4586	33	27	λ	λ	PROPN
ejpam-4586	33	28	⊂	⊂	PROPN
ejpam-4586	33	29	a1/2	a1/2	PROPN
ejpam-4586	33	30	;	;	PUNCT
ejpam-4586	33	31	(	(	PUNCT
ejpam-4586	33	32	v	v	NOUN
ejpam-4586	33	33	)	)	PUNCT
ejpam-4586	33	34	a1/2a0	a1/2a0	NOUN
ejpam-4586	33	35	⊂	⊂	PROPN
ejpam-4586	33	36	a1/2	a1/2	VERB
ejpam-4586	33	37	⊕aλ	⊕aλ	NOUN
ejpam-4586	33	38	⊕aλ	⊕aλ	NOUN
ejpam-4586	33	39	;	;	PUNCT
ejpam-4586	33	40	(	(	PUNCT
ejpam-4586	33	41	vi	vi	NOUN
ejpam-4586	33	42	)	)	PUNCT
ejpam-4586	33	43	a0aλ	a0aλ	PUNCT
ejpam-4586	34	1	⊂	⊂	PROPN
ejpam-4586	34	2	a1/2	a1/2	PROPN
ejpam-4586	34	3	;	;	PUNCT
ejpam-4586	34	4	(	(	PUNCT
ejpam-4586	34	5	vii	vii	PROPN
ejpam-4586	34	6	)	)	PUNCT
ejpam-4586	34	7	a0aλ	a0aλ	PUNCT
ejpam-4586	35	1	⊂	⊂	PROPN
ejpam-4586	35	2	a1/2	a1/2	PROPN
ejpam-4586	35	3	;	;	PUNCT
ejpam-4586	35	4	(	(	PUNCT
ejpam-4586	35	5	viii	viii	NOUN
ejpam-4586	35	6	)	)	PUNCT
ejpam-4586	35	7	a1/2aλ	a1/2aλ	PROPN
ejpam-4586	36	1	⊂	⊂	PROPN
ejpam-4586	36	2	a1/2	a1/2	PROPN
ejpam-4586	36	3	⊕a0	⊕a0	NUM
ejpam-4586	36	4	⊕aλ	⊕aλ	NOUN
ejpam-4586	36	5	;	;	PUNCT
ejpam-4586	36	6	(	(	PUNCT
ejpam-4586	36	7	ix	ix	X
ejpam-4586	36	8	)	)	PUNCT
ejpam-4586	36	9	a1/2aλ	a1/2aλ	PROPN
ejpam-4586	37	1	⊂	⊂	PROPN
ejpam-4586	37	2	a1/2	a1/2	PROPN
ejpam-4586	37	3	⊕a0	⊕a0	NUM
ejpam-4586	37	4	⊕aλ	⊕aλ	PROPN
ejpam-4586	37	5	;	;	PUNCT
ejpam-4586	37	6	w.	w.	PROPN
ejpam-4586	37	7	a.	a.	PROPN
ejpam-4586	37	8	zangre	zangre	PROPN
ejpam-4586	37	9	,	,	PUNCT
ejpam-4586	37	10	a.	a.	NOUN
ejpam-4586	37	11	conseibo	conseibo	PROPN
ejpam-4586	37	12	/	/	SYM
ejpam-4586	37	13	eur	eur	PROPN
ejpam-4586	37	14	.	.	PUNCT
ejpam-4586	38	1	j.	j.	PROPN
ejpam-4586	38	2	pure	pure	PROPN
ejpam-4586	38	3	appl	appl	PROPN
ejpam-4586	38	4	.	.	PROPN
ejpam-4586	38	5	math	math	PROPN
ejpam-4586	38	6	,	,	PUNCT
ejpam-4586	38	7	15	15	NUM
ejpam-4586	38	8	(	(	PUNCT
ejpam-4586	38	9	4	4	NUM
ejpam-4586	38	10	)	)	PUNCT
ejpam-4586	38	11	(	(	PUNCT
ejpam-4586	38	12	2022	2022	NUM
ejpam-4586	38	13	)	)	PUNCT
ejpam-4586	38	14	,	,	PUNCT
ejpam-4586	38	15	1887	1887	NUM
ejpam-4586	38	16	-	-	SYM
ejpam-4586	38	17	1907	1907	NUM
ejpam-4586	38	18	1889	1889	NUM
ejpam-4586	38	19	(	(	PUNCT
ejpam-4586	38	20	x	x	X
ejpam-4586	38	21	)	)	PUNCT
ejpam-4586	38	22	aλaλ	aλaλ	PROPN
ejpam-4586	38	23	⊂	⊂	PROPN
ejpam-4586	38	24	a1/2	a1/2	VERB
ejpam-4586	38	25	.	.	PUNCT
ejpam-4586	39	1	lemma	lemma	PROPN
ejpam-4586	39	2	1	1	X
ejpam-4586	39	3	.	.	PUNCT
ejpam-4586	40	1	let	let	VERB
ejpam-4586	40	2	a	a	DET
ejpam-4586	40	3	=	=	SYM
ejpam-4586	40	4	ke	ke	PROPN
ejpam-4586	40	5	⊕	⊕	PROPN
ejpam-4586	40	6	a1/2	a1/2	PROPN
ejpam-4586	40	7	⊕	⊕	PROPN
ejpam-4586	40	8	a0	a0	PROPN
ejpam-4586	40	9	⊕	⊕	PROPN
ejpam-4586	40	10	aλ	aλ	PROPN
ejpam-4586	40	11	⊕	⊕	PROPN
ejpam-4586	40	12	aλ	aλ	AUX
ejpam-4586	40	13	be	be	AUX
ejpam-4586	40	14	a	a	DET
ejpam-4586	40	15	peirce	peirce	NOUN
ejpam-4586	40	16	decomposition	decomposition	NOUN
ejpam-4586	40	17	relative	relative	ADJ
ejpam-4586	40	18	to	to	ADP
ejpam-4586	40	19	a	a	DET
ejpam-4586	40	20	non	non	ADJ
ejpam-4586	40	21	-	-	ADJ
ejpam-4586	40	22	zero	zero	ADJ
ejpam-4586	40	23	idempotent	idempotent	ADJ
ejpam-4586	40	24	e	e	NOUN
ejpam-4586	40	25	of	of	ADP
ejpam-4586	40	26	an	an	DET
ejpam-4586	40	27	algebra	algebra	NOUN
ejpam-4586	40	28	satisfying	satisfy	VERB
ejpam-4586	40	29	a	a	DET
ejpam-4586	40	30	train	train	NOUN
ejpam-4586	40	31	identity	identity	NOUN
ejpam-4586	40	32	of	of	ADP
ejpam-4586	40	33	degree	degree	NOUN
ejpam-4586	40	34	2	2	NUM
ejpam-4586	40	35	and	and	CCONJ
ejpam-4586	40	36	exponent	exponent	NOUN
ejpam-4586	40	37	4	4	NUM
ejpam-4586	40	38	,	,	PUNCT
ejpam-4586	40	39	then	then	ADV
ejpam-4586	40	40	for	for	ADP
ejpam-4586	40	41	all	all	DET
ejpam-4586	40	42	x1/2	x1/2	PROPN
ejpam-4586	40	43	,	,	PUNCT
ejpam-4586	40	44	x0	x0	PROPN
ejpam-4586	40	45	,	,	PUNCT
ejpam-4586	40	46	xλ	xλ	PROPN
ejpam-4586	40	47	and	and	CCONJ
ejpam-4586	40	48	xλ	xλ	NOUN
ejpam-4586	40	49	respectively	respectively	ADV
ejpam-4586	40	50	in	in	ADP
ejpam-4586	40	51	a1/2	a1/2	PROPN
ejpam-4586	40	52	,	,	PUNCT
ejpam-4586	40	53	a0	a0	PROPN
ejpam-4586	40	54	,	,	PUNCT
ejpam-4586	40	55	aλ	aλ	PROPN
ejpam-4586	40	56	,	,	PUNCT
ejpam-4586	40	57	aλ	aλ	ADP
ejpam-4586	40	58	,	,	PUNCT
ejpam-4586	40	59	the	the	DET
ejpam-4586	40	60	following	follow	VERB
ejpam-4586	40	61	assertions	assertion	NOUN
ejpam-4586	40	62	are	be	AUX
ejpam-4586	40	63	verified	verify	VERB
ejpam-4586	40	64	:	:	PUNCT
ejpam-4586	40	65	(	(	PUNCT
ejpam-4586	40	66	i	i	NOUN
ejpam-4586	40	67	)	)	PUNCT
ejpam-4586	40	68	2x1/2(e(ex	2x1/2(e(ex	NUM
ejpam-4586	40	69	2	2	NUM
ejpam-4586	40	70	1/2	1/2	NUM
ejpam-4586	40	71	)	)	PUNCT
ejpam-4586	40	72	)	)	PUNCT
ejpam-4586	41	1	+	+	PUNCT
ejpam-4586	41	2	2e(x1/2(ex	2e(x1/2(ex	NUM
ejpam-4586	41	3	2	2	NUM
ejpam-4586	41	4	1/2	1/2	NUM
ejpam-4586	41	5	)	)	PUNCT
ejpam-4586	41	6	)	)	PUNCT
ejpam-4586	42	1	+	+	CCONJ
ejpam-4586	42	2	x1/2(ex	x1/2(ex	NUM
ejpam-4586	42	3	2	2	NUM
ejpam-4586	42	4	1/2	1/2	NUM
ejpam-4586	42	5	)	)	PUNCT
ejpam-4586	42	6	+	+	CCONJ
ejpam-4586	42	7	2e(ex31/2	2e(ex31/2	NUM
ejpam-4586	42	8	)	)	PUNCT
ejpam-4586	42	9	+	+	CCONJ
ejpam-4586	42	10	ex31/2	ex31/2	PROPN
ejpam-4586	42	11	+	+	CCONJ
ejpam-4586	42	12	x31/2	x31/2	NUM
ejpam-4586	43	1	=	=	NOUN
ejpam-4586	43	2	0	0	NUM
ejpam-4586	43	3	;	;	PUNCT
ejpam-4586	43	4	(	(	PUNCT
ejpam-4586	43	5	ii	ii	NOUN
ejpam-4586	43	6	)	)	PUNCT
ejpam-4586	43	7	2x1/2(x1/2(ex	2x1/2(x1/2(ex	NUM
ejpam-4586	43	8	2	2	NUM
ejpam-4586	43	9	1/2	1/2	NUM
ejpam-4586	43	10	)	)	PUNCT
ejpam-4586	43	11	)	)	PUNCT
ejpam-4586	44	1	+	+	CCONJ
ejpam-4586	44	2	2x1/2(ex	2x1/2(ex	NUM
ejpam-4586	44	3	3	3	NUM
ejpam-4586	44	4	1/2	1/2	NUM
ejpam-4586	44	5	)	)	PUNCT
ejpam-4586	44	6	+	+	CCONJ
ejpam-4586	45	1	2ex41/2	2ex41/2	NUM
ejpam-4586	46	1	+	+	CCONJ
ejpam-4586	46	2	x41/2	x41/2	X
ejpam-4586	47	1	+	+	CCONJ
ejpam-4586	47	2	(	(	PUNCT
ejpam-4586	47	3	e(ex21/2	e(ex21/2	PROPN
ejpam-4586	47	4	)	)	PUNCT
ejpam-4586	47	5	+	+	CCONJ
ejpam-4586	48	1	ex21/2	ex21/2	PROPN
ejpam-4586	48	2	+	+	CCONJ
ejpam-4586	48	3	x21/2	x21/2	PROPN
ejpam-4586	48	4	)	)	PUNCT
ejpam-4586	48	5	2	2	NUM
ejpam-4586	48	6	=	=	SYM
ejpam-4586	48	7	0	0	NUM
ejpam-4586	48	8	;	;	PUNCT
ejpam-4586	48	9	(	(	PUNCT
ejpam-4586	48	10	iii	iii	NOUN
ejpam-4586	48	11	)	)	PUNCT
ejpam-4586	48	12	2e(x0(ex	2e(x0(ex	NUM
ejpam-4586	48	13	2	2	NUM
ejpam-4586	48	14	0	0	NUM
ejpam-4586	48	15	)	)	PUNCT
ejpam-4586	48	16	)	)	PUNCT
ejpam-4586	49	1	+	+	CCONJ
ejpam-4586	49	2	2e(ex30)−	2e(ex30)−	NUM
ejpam-4586	49	3	x0(ex	x0(ex	NUM
ejpam-4586	49	4	2	2	NUM
ejpam-4586	49	5	0)−	0)−	PUNCT
ejpam-4586	50	1	ex30	ex30	PROPN
ejpam-4586	50	2	=	=	PUNCT
ejpam-4586	50	3	0	0	NUM
ejpam-4586	50	4	;	;	PUNCT
ejpam-4586	50	5	(	(	PUNCT
ejpam-4586	50	6	iv	iv	X
ejpam-4586	50	7	)	)	PUNCT
ejpam-4586	50	8	8ex40	8ex40	NUM
ejpam-4586	50	9	+	+	CCONJ
ejpam-4586	50	10	(	(	PUNCT
ejpam-4586	50	11	ex20	ex20	PROPN
ejpam-4586	50	12	)	)	PUNCT
ejpam-4586	50	13	2	2	NUM
ejpam-4586	50	14	−	−	NOUN
ejpam-4586	50	15	4x40	4x40	NOUN
ejpam-4586	50	16	=	=	SYM
ejpam-4586	50	17	0	0	NUM
ejpam-4586	50	18	;	;	PUNCT
ejpam-4586	50	19	(	(	PUNCT
ejpam-4586	50	20	v	v	NOUN
ejpam-4586	50	21	)	)	PUNCT
ejpam-4586	50	22	4e(ex3λ	4e(ex3λ	NUM
ejpam-4586	50	23	)	)	PUNCT
ejpam-4586	50	24	+	+	CCONJ
ejpam-4586	50	25	8λex3λ	8λex3λ	NUM
ejpam-4586	50	26	−	−	PROPN
ejpam-4586	50	27	(	(	PUNCT
ejpam-4586	50	28	4λ+	4λ+	NUM
ejpam-4586	50	29	1)x3λ	1)x3λ	NUM
ejpam-4586	50	30	=	=	SYM
ejpam-4586	50	31	0	0	NUM
ejpam-4586	50	32	;	;	PUNCT
ejpam-4586	50	33	(	(	PUNCT
ejpam-4586	50	34	vi	vi	NOUN
ejpam-4586	50	35	)	)	PUNCT
ejpam-4586	50	36	32ex4λ	32ex4λ	NUM
ejpam-4586	50	37	+	+	CCONJ
ejpam-4586	50	38	(	(	PUNCT
ejpam-4586	50	39	1−	1−	NUM
ejpam-4586	50	40	32λ)(x2λ	32λ)(x2λ	NUM
ejpam-4586	50	41	)	)	PUNCT
ejpam-4586	50	42	2	2	NUM
ejpam-4586	50	43	−	−	PROPN
ejpam-4586	50	44	16x4λ	16x4λ	NUM
ejpam-4586	50	45	=	=	SYM
ejpam-4586	50	46	0	0	NUM
ejpam-4586	50	47	;	;	PUNCT
ejpam-4586	50	48	(	(	PUNCT
ejpam-4586	50	49	vii	vii	PROPN
ejpam-4586	50	50	)	)	PUNCT
ejpam-4586	50	51	4e(ex3	4e(ex3	NUM
ejpam-4586	50	52	λ	λ	NOUN
ejpam-4586	50	53	)	)	PUNCT
ejpam-4586	51	1	+	+	PUNCT
ejpam-4586	51	2	8λex3	8λex3	NUM
ejpam-4586	51	3	λ	λ	X
ejpam-4586	51	4	−	−	PROPN
ejpam-4586	51	5	(	(	PUNCT
ejpam-4586	51	6	4λ+	4λ+	NUM
ejpam-4586	51	7	1)x3	1)x3	NUM
ejpam-4586	51	8	λ	λ	NOUN
ejpam-4586	51	9	=	=	SYM
ejpam-4586	51	10	0	0	NUM
ejpam-4586	51	11	;	;	PUNCT
ejpam-4586	51	12	(	(	PUNCT
ejpam-4586	51	13	viii	viii	NOUN
ejpam-4586	51	14	)	)	PUNCT
ejpam-4586	51	15	32ex4	32ex4	NUM
ejpam-4586	52	1	λ	λ	NOUN
ejpam-4586	52	2	+	+	CCONJ
ejpam-4586	52	3	(	(	PUNCT
ejpam-4586	52	4	1−	1−	NUM
ejpam-4586	52	5	32λ)(x2	32λ)(x2	NUM
ejpam-4586	52	6	λ	λ	NOUN
ejpam-4586	52	7	)	)	PUNCT
ejpam-4586	52	8	2	2	NUM
ejpam-4586	52	9	−	−	PROPN
ejpam-4586	52	10	16x4	16x4	NUM
ejpam-4586	52	11	λ	λ	NOUN
ejpam-4586	52	12	=	=	SYM
ejpam-4586	52	13	0	0	NUM
ejpam-4586	52	14	.	.	PUNCT
ejpam-4586	53	1	proof	proof	NOUN
ejpam-4586	53	2	.	.	PUNCT
ejpam-4586	54	1	it	it	PRON
ejpam-4586	54	2	suffices	suffice	VERB
ejpam-4586	54	3	to	to	PART
ejpam-4586	54	4	set	set	VERB
ejpam-4586	54	5	x	x	PUNCT
ejpam-4586	54	6	=	=	PRON
ejpam-4586	54	7	e+	e+	PUNCT
ejpam-4586	54	8	αx1/2	αx1/2	NOUN
ejpam-4586	54	9	+	+	NUM
ejpam-4586	54	10	βx0	βx0	NOUN
ejpam-4586	54	11	+	+	CCONJ
ejpam-4586	54	12	γxλ	γxλ	NOUN
ejpam-4586	54	13	+	+	CCONJ
ejpam-4586	54	14	µxλ	µxλ	ADV
ejpam-4586	54	15	and	and	CCONJ
ejpam-4586	54	16	identify	identify	VERB
ejpam-4586	54	17	the	the	DET
ejpam-4586	54	18	coefficients	coefficient	NOUN
ejpam-4586	54	19	of	of	ADP
ejpam-4586	54	20	αiβjγkµℓ	αiβjγkµℓ	PROPN
ejpam-4586	54	21	(	(	PUNCT
ejpam-4586	54	22	1	1	NUM
ejpam-4586	54	23	≤	≤	NOUN
ejpam-4586	54	24	i+	i+	NUM
ejpam-4586	54	25	j+	j+	NUM
ejpam-4586	54	26	k+	k+	PROPN
ejpam-4586	54	27	ℓ	ℓ	PROPN
ejpam-4586	54	28	≤	≤	NOUN
ejpam-4586	54	29	8)	8)	NUM
ejpam-4586	54	30	,	,	PUNCT
ejpam-4586	54	31	equality	equality	NOUN
ejpam-4586	54	32	x4	x4	PROPN
ejpam-4586	54	33	=	=	PRON
ejpam-4586	54	34	(	(	PUNCT
ejpam-4586	54	35	x4)2	x4)2	PUNCT
ejpam-4586	54	36	allowing	allow	VERB
ejpam-4586	54	37	to	to	PART
ejpam-4586	54	38	obtain	obtain	VERB
ejpam-4586	54	39	respectively	respectively	ADV
ejpam-4586	54	40	(	(	PUNCT
ejpam-4586	54	41	i	i	NOUN
ejpam-4586	54	42	)	)	PUNCT
ejpam-4586	54	43	,	,	PUNCT
ejpam-4586	54	44	(	(	PUNCT
ejpam-4586	54	45	ii	ii	NOUN
ejpam-4586	54	46	)	)	PUNCT
ejpam-4586	54	47	,	,	PUNCT
ejpam-4586	54	48	(	(	PUNCT
ejpam-4586	54	49	iii	iii	NOUN
ejpam-4586	54	50	)	)	PUNCT
ejpam-4586	54	51	,	,	PUNCT
ejpam-4586	54	52	(	(	PUNCT
ejpam-4586	54	53	iv	iv	X
ejpam-4586	54	54	)	)	PUNCT
ejpam-4586	54	55	,	,	PUNCT
ejpam-4586	54	56	(	(	PUNCT
ejpam-4586	54	57	v	v	NOUN
ejpam-4586	54	58	)	)	PUNCT
ejpam-4586	54	59	,	,	PUNCT
ejpam-4586	54	60	(	(	PUNCT
ejpam-4586	54	61	vi	vi	NOUN
ejpam-4586	54	62	)	)	PUNCT
ejpam-4586	54	63	,	,	PUNCT
ejpam-4586	54	64	(	(	PUNCT
ejpam-4586	54	65	vii	vii	PROPN
ejpam-4586	54	66	)	)	PUNCT
ejpam-4586	54	67	and	and	CCONJ
ejpam-4586	54	68	(	(	PUNCT
ejpam-4586	54	69	viii	viii	NOUN
ejpam-4586	54	70	)	)	PUNCT
ejpam-4586	54	71	.	.	PUNCT
ejpam-4586	55	1	lemma	lemma	PROPN
ejpam-4586	55	2	2	2	X
ejpam-4586	55	3	.	.	PUNCT
ejpam-4586	55	4	let	let	VERB
ejpam-4586	55	5	a	a	DET
ejpam-4586	55	6	=	=	SYM
ejpam-4586	55	7	ke	ke	PROPN
ejpam-4586	55	8	⊕	⊕	PROPN
ejpam-4586	55	9	a1/2	a1/2	PROPN
ejpam-4586	55	10	⊕	⊕	PROPN
ejpam-4586	55	11	a0	a0	PROPN
ejpam-4586	55	12	⊕	⊕	PROPN
ejpam-4586	55	13	aλ	aλ	PROPN
ejpam-4586	55	14	⊕	⊕	PROPN
ejpam-4586	55	15	aλ	aλ	AUX
ejpam-4586	55	16	be	be	AUX
ejpam-4586	55	17	a	a	DET
ejpam-4586	55	18	peirce	peirce	NOUN
ejpam-4586	55	19	decomposition	decomposition	NOUN
ejpam-4586	55	20	relative	relative	ADJ
ejpam-4586	55	21	to	to	ADP
ejpam-4586	55	22	a	a	DET
ejpam-4586	55	23	non	non	ADJ
ejpam-4586	55	24	-	-	ADJ
ejpam-4586	55	25	zero	zero	ADJ
ejpam-4586	55	26	idempotent	idempotent	ADJ
ejpam-4586	55	27	e	e	NOUN
ejpam-4586	55	28	of	of	ADP
ejpam-4586	55	29	an	an	DET
ejpam-4586	55	30	algebra	algebra	NOUN
ejpam-4586	55	31	satisfying	satisfy	VERB
ejpam-4586	55	32	a	a	DET
ejpam-4586	55	33	train	train	NOUN
ejpam-4586	55	34	identity	identity	NOUN
ejpam-4586	55	35	of	of	ADP
ejpam-4586	55	36	degree	degree	NOUN
ejpam-4586	55	37	2	2	NUM
ejpam-4586	55	38	and	and	CCONJ
ejpam-4586	55	39	exponent	exponent	NOUN
ejpam-4586	55	40	4	4	NUM
ejpam-4586	55	41	.	.	PUNCT
ejpam-4586	56	1	if	if	SCONJ
ejpam-4586	56	2	aλ	aλ	ADV
ejpam-4586	56	3	=	=	X
ejpam-4586	56	4	aλ	aλ	ADP
ejpam-4586	56	5	=	=	SYM
ejpam-4586	56	6	0	0	PUNCT
ejpam-4586	56	7	then	then	ADV
ejpam-4586	56	8	,	,	PUNCT
ejpam-4586	56	9	for	for	ADP
ejpam-4586	56	10	all	all	DET
ejpam-4586	56	11	x0	x0	PROPN
ejpam-4586	56	12	∈	∈	PROPN
ejpam-4586	56	13	a0	a0	NOUN
ejpam-4586	56	14	and	and	CCONJ
ejpam-4586	56	15	x1/2	x1/2	PROPN
ejpam-4586	56	16	∈	∈	PROPN
ejpam-4586	56	17	a1/2	a1/2	NOUN
ejpam-4586	56	18	,	,	PUNCT
ejpam-4586	56	19	we	we	PRON
ejpam-4586	56	20	have	have	VERB
ejpam-4586	56	21	the	the	DET
ejpam-4586	56	22	following	follow	VERB
ejpam-4586	56	23	identities	identity	NOUN
ejpam-4586	56	24	:	:	PUNCT
ejpam-4586	56	25	(	(	PUNCT
ejpam-4586	56	26	i	i	NOUN
ejpam-4586	56	27	)	)	PUNCT
ejpam-4586	56	28	2e(x0x	2e(x0x	NUM
ejpam-4586	56	29	2	2	NUM
ejpam-4586	56	30	1/2	1/2	NUM
ejpam-4586	56	31	)	)	PUNCT
ejpam-4586	57	1	+	+	CCONJ
ejpam-4586	57	2	2x1/2(x0x1/2)−	2x1/2(x0x1/2)−	NUM
ejpam-4586	57	3	x0x	x0x	NOUN
ejpam-4586	57	4	2	2	NUM
ejpam-4586	57	5	1/2	1/2	NUM
ejpam-4586	57	6	=	=	SYM
ejpam-4586	57	7	0	0	NUM
ejpam-4586	57	8	;	;	PUNCT
ejpam-4586	57	9	(	(	PUNCT
ejpam-4586	57	10	ii	ii	NOUN
ejpam-4586	57	11	)	)	PUNCT
ejpam-4586	57	12	x31/2	x31/2	PUNCT
ejpam-4586	58	1	=	=	PUNCT
ejpam-4586	58	2	0	0	NUM
ejpam-4586	58	3	;	;	PUNCT
ejpam-4586	58	4	(	(	PUNCT
ejpam-4586	58	5	iii	iii	X
ejpam-4586	58	6	)	)	PUNCT
ejpam-4586	58	7	(	(	PUNCT
ejpam-4586	58	8	x21/2	x21/2	PROPN
ejpam-4586	58	9	)	)	PUNCT
ejpam-4586	58	10	2	2	NUM
ejpam-4586	58	11	=	=	SYM
ejpam-4586	58	12	0	0	NUM
ejpam-4586	58	13	;	;	PUNCT
ejpam-4586	58	14	(	(	PUNCT
ejpam-4586	58	15	iv	iv	X
ejpam-4586	58	16	)	)	PUNCT
ejpam-4586	58	17	(	(	PUNCT
ejpam-4586	58	18	ex20	ex20	PROPN
ejpam-4586	58	19	)	)	PUNCT
ejpam-4586	58	20	2	2	NUM
ejpam-4586	58	21	+	+	NUM
ejpam-4586	58	22	8ex40	8ex40	NUM
ejpam-4586	58	23	−	−	NOUN
ejpam-4586	58	24	4x40	4x40	NOUN
ejpam-4586	58	25	=	=	SYM
ejpam-4586	58	26	0	0	PROPN
ejpam-4586	58	27	.	.	PUNCT
ejpam-4586	59	1	(	(	PUNCT
ejpam-4586	59	2	v	v	NOUN
ejpam-4586	59	3	)	)	PUNCT
ejpam-4586	59	4	x1/2(ex	x1/2(ex	X
ejpam-4586	60	1	2	2	NUM
ejpam-4586	60	2	0)−	0)−	PUNCT
ejpam-4586	60	3	x1/2x	x1/2x	PROPN
ejpam-4586	60	4	2	2	NUM
ejpam-4586	60	5	0	0	NUM
ejpam-4586	60	6	=	=	SYM
ejpam-4586	60	7	0	0	NUM
ejpam-4586	60	8	;	;	PUNCT
ejpam-4586	60	9	(	(	PUNCT
ejpam-4586	60	10	vi	vi	NOUN
ejpam-4586	60	11	)	)	PUNCT
ejpam-4586	60	12	2e(x0(x1/2(x0x1/2)))+2e(x1/2(x1/2x	2e(x0(x1/2(x0x1/2)))+2e(x1/2(x1/2x	NUM
ejpam-4586	60	13	2	2	NUM
ejpam-4586	60	14	0))+x21/2(ex	0))+x21/2(ex	NUM
ejpam-4586	60	15	2	2	NUM
ejpam-4586	60	16	0)−x0(x1/2(x0x1/2))−x1/2(x1/2x	0)−x0(x1/2(x0x1/2))−x1/2(x1/2x	NUM
ejpam-4586	60	17	2	2	NUM
ejpam-4586	60	18	0)+	0)+	NOUN
ejpam-4586	60	19	4(x0x1/2	4(x0x1/2	NUM
ejpam-4586	60	20	)	)	PUNCT
ejpam-4586	60	21	2	2	NUM
ejpam-4586	60	22	=	=	SYM
ejpam-4586	60	23	0	0	NUM
ejpam-4586	60	24	;	;	PUNCT
ejpam-4586	60	25	(	(	PUNCT
ejpam-4586	60	26	vii	vii	PROPN
ejpam-4586	60	27	)	)	PUNCT
ejpam-4586	60	28	4x1/2(x1/2(x1/2x0))+2e(x1/2(x0x	4x1/2(x1/2(x1/2x0))+2e(x1/2(x0x	PROPN
ejpam-4586	60	29	2	2	NUM
ejpam-4586	60	30	1/2))+2x1/2(e(x0x	1/2))+2x1/2(e(x0x	NUM
ejpam-4586	60	31	2	2	NUM
ejpam-4586	60	32	1/2))+x1/2(x0x	1/2))+x1/2(x0x	NUM
ejpam-4586	60	33	2	2	NUM
ejpam-4586	60	34	1/2)+4x21/2(x0x1/2	1/2)+4x21/2(x0x1/2	NUM
ejpam-4586	60	35	)	)	PUNCT
ejpam-4586	60	36	=	=	SYM
ejpam-4586	60	37	0	0	NUM
ejpam-4586	60	38	;	;	PUNCT
ejpam-4586	60	39	w.	w.	PROPN
ejpam-4586	60	40	a.	a.	PROPN
ejpam-4586	60	41	zangre	zangre	PROPN
ejpam-4586	60	42	,	,	PUNCT
ejpam-4586	60	43	a.	a.	NOUN
ejpam-4586	60	44	conseibo	conseibo	PROPN
ejpam-4586	60	45	/	/	SYM
ejpam-4586	60	46	eur	eur	PROPN
ejpam-4586	60	47	.	.	PUNCT
ejpam-4586	61	1	j.	j.	PROPN
ejpam-4586	61	2	pure	pure	PROPN
ejpam-4586	61	3	appl	appl	PROPN
ejpam-4586	61	4	.	.	PROPN
ejpam-4586	61	5	math	math	PROPN
ejpam-4586	61	6	,	,	PUNCT
ejpam-4586	61	7	15	15	NUM
ejpam-4586	61	8	(	(	PUNCT
ejpam-4586	61	9	4	4	NUM
ejpam-4586	61	10	)	)	PUNCT
ejpam-4586	61	11	(	(	PUNCT
ejpam-4586	61	12	2022	2022	NUM
ejpam-4586	61	13	)	)	PUNCT
ejpam-4586	61	14	,	,	PUNCT
ejpam-4586	61	15	1887	1887	NUM
ejpam-4586	61	16	-	-	SYM
ejpam-4586	61	17	1907	1907	NUM
ejpam-4586	61	18	1890	1890	NUM
ejpam-4586	61	19	(	(	PUNCT
ejpam-4586	61	20	viii	viii	NOUN
ejpam-4586	61	21	)	)	PUNCT
ejpam-4586	61	22	(	(	PUNCT
ejpam-4586	61	23	ex20)(x0x1/2)+4x1/2(ex	ex20)(x0x1/2)+4x1/2(ex	PROPN
ejpam-4586	61	24	3	3	NUM
ejpam-4586	61	25	0)+4x1/2(x0(ex	0)+4x1/2(x0(ex	NUM
ejpam-4586	61	26	2	2	NUM
ejpam-4586	61	27	0))+4e(x0(x	0))+4e(x0(x	NOUN
ejpam-4586	61	28	2	2	NUM
ejpam-4586	61	29	0x1/2))+4e(x1/2x	0x1/2))+4e(x1/2x	NUM
ejpam-4586	61	30	3	3	NUM
ejpam-4586	61	31	0)−2x0(x1/2x	0)−2x0(x1/2x	PROPN
ejpam-4586	61	32	2	2	NUM
ejpam-4586	61	33	0)−	0)−	PUNCT
ejpam-4586	61	34	2x1/2x	2x1/2x	PROPN
ejpam-4586	61	35	3	3	NUM
ejpam-4586	61	36	0	0	NUM
ejpam-4586	62	1	=	=	SYM
ejpam-4586	62	2	0	0	X
ejpam-4586	62	3	.	.	PUNCT
ejpam-4586	63	1	proof	proof	NOUN
ejpam-4586	63	2	.	.	PUNCT
ejpam-4586	64	1	the	the	DET
ejpam-4586	64	2	proof	proof	NOUN
ejpam-4586	64	3	is	be	AUX
ejpam-4586	64	4	similar	similar	ADJ
ejpam-4586	64	5	to	to	ADP
ejpam-4586	64	6	that	that	PRON
ejpam-4586	64	7	of	of	ADP
ejpam-4586	64	8	the	the	DET
ejpam-4586	64	9	lemma	lemma	PROPN
ejpam-4586	64	10	1	1	NUM
ejpam-4586	64	11	.	.	PUNCT
ejpam-4586	65	1	according	accord	VERB
ejpam-4586	65	2	to	to	ADP
ejpam-4586	65	3	propositions	proposition	NOUN
ejpam-4586	65	4	3.1	3.1	NUM
ejpam-4586	65	5	and	and	CCONJ
ejpam-4586	65	6	3.2	3.2	NUM
ejpam-4586	65	7	of	of	ADP
ejpam-4586	65	8	[	[	X
ejpam-4586	65	9	1	1	NUM
ejpam-4586	65	10	]	]	PUNCT
ejpam-4586	65	11	,	,	PUNCT
ejpam-4586	65	12	the	the	DET
ejpam-4586	65	13	possible	possible	ADJ
ejpam-4586	65	14	types	type	NOUN
ejpam-4586	65	15	of	of	ADP
ejpam-4586	65	16	a	a	PRON
ejpam-4586	65	17	in	in	ADP
ejpam-4586	65	18	dimension	dimension	NOUN
ejpam-4586	65	19	4	4	NUM
ejpam-4586	65	20	are	be	AUX
ejpam-4586	65	21	:	:	PUNCT
ejpam-4586	65	22	(	(	PUNCT
ejpam-4586	65	23	2	2	NUM
ejpam-4586	65	24	,	,	PUNCT
ejpam-4586	65	25	2	2	NUM
ejpam-4586	65	26	,	,	PUNCT
ejpam-4586	65	27	0	0	NUM
ejpam-4586	65	28	,	,	PUNCT
ejpam-4586	65	29	0	0	NUM
ejpam-4586	65	30	)	)	PUNCT
ejpam-4586	65	31	,	,	PUNCT
ejpam-4586	65	32	(	(	PUNCT
ejpam-4586	65	33	2	2	NUM
ejpam-4586	65	34	,	,	PUNCT
ejpam-4586	65	35	1	1	NUM
ejpam-4586	65	36	,	,	PUNCT
ejpam-4586	65	37	0	0	NUM
ejpam-4586	65	38	,	,	PUNCT
ejpam-4586	65	39	1	1	NUM
ejpam-4586	65	40	)	)	PUNCT
ejpam-4586	65	41	,	,	PUNCT
ejpam-4586	65	42	(	(	PUNCT
ejpam-4586	65	43	2	2	NUM
ejpam-4586	65	44	,	,	PUNCT
ejpam-4586	65	45	1	1	NUM
ejpam-4586	65	46	,	,	PUNCT
ejpam-4586	65	47	1	1	NUM
ejpam-4586	65	48	,	,	PUNCT
ejpam-4586	65	49	0	0	NUM
ejpam-4586	65	50	)	)	PUNCT
ejpam-4586	65	51	and	and	CCONJ
ejpam-4586	65	52	(	(	PUNCT
ejpam-4586	65	53	2	2	NUM
ejpam-4586	65	54	,	,	PUNCT
ejpam-4586	65	55	0	0	NUM
ejpam-4586	65	56	,	,	PUNCT
ejpam-4586	65	57	1	1	NUM
ejpam-4586	65	58	,	,	PUNCT
ejpam-4586	65	59	1	1	NUM
ejpam-4586	65	60	)	)	PUNCT
ejpam-4586	65	61	.	.	PUNCT
ejpam-4586	66	1	theorem	theorem	NOUN
ejpam-4586	66	2	3	3	X
ejpam-4586	66	3	.	.	PUNCT
ejpam-4586	67	1	let	let	VERB
ejpam-4586	67	2	a	a	DET
ejpam-4586	67	3	=	=	SYM
ejpam-4586	67	4	ke	ke	PROPN
ejpam-4586	67	5	⊕	⊕	PROPN
ejpam-4586	67	6	a1/2	a1/2	PROPN
ejpam-4586	67	7	⊕	⊕	PROPN
ejpam-4586	67	8	a0	a0	PROPN
ejpam-4586	67	9	⊕	⊕	PROPN
ejpam-4586	67	10	aλ	aλ	PROPN
ejpam-4586	67	11	⊕	⊕	PROPN
ejpam-4586	67	12	aλ	aλ	AUX
ejpam-4586	67	13	be	be	AUX
ejpam-4586	67	14	a	a	DET
ejpam-4586	67	15	peirce	peirce	NOUN
ejpam-4586	67	16	decomposition	decomposition	NOUN
ejpam-4586	67	17	relative	relative	ADJ
ejpam-4586	67	18	to	to	ADP
ejpam-4586	67	19	a	a	DET
ejpam-4586	67	20	non	non	ADJ
ejpam-4586	67	21	-	-	ADJ
ejpam-4586	67	22	zero	zero	ADJ
ejpam-4586	67	23	idempotent	idempotent	ADJ
ejpam-4586	67	24	e	e	NOUN
ejpam-4586	67	25	of	of	ADP
ejpam-4586	67	26	an	an	DET
ejpam-4586	67	27	algebra	algebra	NOUN
ejpam-4586	67	28	satisfying	satisfy	VERB
ejpam-4586	67	29	a	a	DET
ejpam-4586	67	30	train	train	NOUN
ejpam-4586	67	31	identity	identity	NOUN
ejpam-4586	67	32	of	of	ADP
ejpam-4586	67	33	degree	degree	NOUN
ejpam-4586	67	34	2	2	NUM
ejpam-4586	67	35	and	and	CCONJ
ejpam-4586	67	36	exponent	exponent	NOUN
ejpam-4586	67	37	4	4	NUM
ejpam-4586	67	38	.	.	PUNCT
ejpam-4586	68	1	if	if	SCONJ
ejpam-4586	68	2	aλ	aλ	ADV
ejpam-4586	68	3	=	=	SYM
ejpam-4586	68	4	aλ	aλ	ADP
ejpam-4586	68	5	=	=	SYM
ejpam-4586	68	6	0	0	PROPN
ejpam-4586	68	7	,	,	PUNCT
ejpam-4586	68	8	then	then	ADV
ejpam-4586	68	9	a	a	DET
ejpam-4586	68	10	verifies	verifie	NOUN
ejpam-4586	68	11	a	a	DET
ejpam-4586	68	12	polynomial	polynomial	ADJ
ejpam-4586	68	13	equation	equation	NOUN
ejpam-4586	68	14	of	of	ADP
ejpam-4586	68	15	degree	degree	NOUN
ejpam-4586	68	16	less	less	ADJ
ejpam-4586	68	17	than	than	ADP
ejpam-4586	68	18	eight	eight	NUM
ejpam-4586	68	19	and	and	CCONJ
ejpam-4586	68	20	therefore	therefore	ADV
ejpam-4586	68	21	,	,	PUNCT
ejpam-4586	68	22	a	a	PRON
ejpam-4586	68	23	is	be	AUX
ejpam-4586	68	24	not	not	PART
ejpam-4586	68	25	train	train	NOUN
ejpam-4586	68	26	of	of	ADP
ejpam-4586	68	27	degree	degree	NOUN
ejpam-4586	68	28	2	2	NUM
ejpam-4586	68	29	and	and	CCONJ
ejpam-4586	68	30	exponent	exponent	NOUN
ejpam-4586	68	31	4	4	NUM
ejpam-4586	68	32	.	.	PUNCT
ejpam-4586	69	1	proof	proof	NOUN
ejpam-4586	69	2	.	.	PUNCT
ejpam-4586	70	1	the	the	DET
ejpam-4586	70	2	type	type	NOUN
ejpam-4586	70	3	of	of	ADP
ejpam-4586	70	4	a	a	DET
ejpam-4586	70	5	being	being	NOUN
ejpam-4586	70	6	(	(	PUNCT
ejpam-4586	70	7	2	2	NUM
ejpam-4586	70	8	,	,	PUNCT
ejpam-4586	70	9	2	2	NUM
ejpam-4586	70	10	,	,	PUNCT
ejpam-4586	70	11	0	0	NUM
ejpam-4586	70	12	,	,	PUNCT
ejpam-4586	70	13	0	0	NUM
ejpam-4586	70	14	)	)	PUNCT
ejpam-4586	70	15	,	,	PUNCT
ejpam-4586	70	16	then	then	ADV
ejpam-4586	70	17	aλ	aλ	ADP
ejpam-4586	70	18	=	=	SYM
ejpam-4586	70	19	aλ	aλ	ADP
ejpam-4586	70	20	=	=	SYM
ejpam-4586	70	21	0	0	PROPN
ejpam-4586	70	22	,	,	PUNCT
ejpam-4586	70	23	a2	a2	PROPN
ejpam-4586	70	24	1/2	1/2	NUM
ejpam-4586	70	25	⊂	⊂	PROPN
ejpam-4586	70	26	a0	a0	PROPN
ejpam-4586	70	27	,	,	PUNCT
ejpam-4586	70	28	a2	a2	PROPN
ejpam-4586	70	29	0	0	PROPN
ejpam-4586	71	1	⊂	⊂	PROPN
ejpam-4586	71	2	a1/2	a1/2	VERB
ejpam-4586	71	3	⊕a0	⊕a0	PROPN
ejpam-4586	71	4	and	and	CCONJ
ejpam-4586	71	5	a1/2a0	a1/2a0	PROPN
ejpam-4586	71	6	⊂	⊂	ADJ
ejpam-4586	71	7	a1/2	a1/2	NUM
ejpam-4586	71	8	;	;	PUNCT
ejpam-4586	71	9	we	we	PRON
ejpam-4586	71	10	can	can	AUX
ejpam-4586	71	11	then	then	ADV
ejpam-4586	71	12	set	set	VERB
ejpam-4586	71	13	a1/2	a1/2	PROPN
ejpam-4586	72	1	=	=	NOUN
ejpam-4586	72	2	<	<	X
ejpam-4586	72	3	e0	e0	PROPN
ejpam-4586	72	4	>	>	X
ejpam-4586	72	5	,	,	PUNCT
ejpam-4586	72	6	a0	a0	PROPN
ejpam-4586	72	7	=	=	PROPN
ejpam-4586	72	8	<	<	X
ejpam-4586	72	9	e1	e1	PROPN
ejpam-4586	72	10	,	,	PUNCT
ejpam-4586	72	11	e2	e2	PROPN
ejpam-4586	72	12	>	>	PUNCT
ejpam-4586	72	13	,	,	PUNCT
ejpam-4586	72	14	so	so	SCONJ
ejpam-4586	72	15	a	a	DET
ejpam-4586	72	16	=	=	NOUN
ejpam-4586	72	17	<	<	X
ejpam-4586	72	18	e	e	NOUN
ejpam-4586	72	19	,	,	PUNCT
ejpam-4586	72	20	e0	e0	PROPN
ejpam-4586	72	21	,	,	PUNCT
ejpam-4586	72	22	e1	e1	PROPN
ejpam-4586	72	23	,	,	PUNCT
ejpam-4586	72	24	e2	e2	PROPN
ejpam-4586	72	25	>	>	X
ejpam-4586	72	26	such	such	ADJ
ejpam-4586	72	27	that	that	SCONJ
ejpam-4586	72	28	:	:	PUNCT
ejpam-4586	72	29	e2	e2	PROPN
ejpam-4586	72	30	=	=	SYM
ejpam-4586	72	31	e	e	PROPN
ejpam-4586	72	32	,	,	PUNCT
ejpam-4586	72	33	ee0	ee0	X
ejpam-4586	72	34	=	=	PUNCT
ejpam-4586	72	35	1	1	NUM
ejpam-4586	72	36	2e0	2e0	NUM
ejpam-4586	72	37	,	,	PUNCT
ejpam-4586	72	38	ee1	ee1	X
ejpam-4586	72	39	=	=	PUNCT
ejpam-4586	72	40	ee2	ee2	NOUN
ejpam-4586	72	41	=	=	SYM
ejpam-4586	72	42	0	0	NUM
ejpam-4586	72	43	,	,	PUNCT
ejpam-4586	72	44	e20	e20	NOUN
ejpam-4586	72	45	=	=	SYM
ejpam-4586	72	46	α0e1	α0e1	PROPN
ejpam-4586	72	47	+	+	NUM
ejpam-4586	72	48	α1e2	α1e2	NOUN
ejpam-4586	72	49	,	,	PUNCT
ejpam-4586	72	50	e1e2	e1e2	X
ejpam-4586	72	51	=	=	SYM
ejpam-4586	72	52	β0e0	β0e0	PUNCT
ejpam-4586	72	53	+	+	PUNCT
ejpam-4586	72	54	β1e1	β1e1	X
ejpam-4586	73	1	+	+	SYM
ejpam-4586	73	2	β2e2	β2e2	PROPN
ejpam-4586	73	3	,	,	PUNCT
ejpam-4586	73	4	e21	e21	PROPN
ejpam-4586	73	5	=	=	SYM
ejpam-4586	73	6	γ0e0	γ0e0	X
ejpam-4586	73	7	+	+	X
ejpam-4586	73	8	γ1e1	γ1e1	ADJ
ejpam-4586	73	9	+	+	ADJ
ejpam-4586	73	10	γ2e2	γ2e2	PROPN
ejpam-4586	73	11	,	,	PUNCT
ejpam-4586	73	12	e22	e22	PROPN
ejpam-4586	73	13	=	=	SYM
ejpam-4586	73	14	µ0e0+µ1e1+µ2e2	µ0e0+µ1e1+µ2e2	PROPN
ejpam-4586	73	15	,	,	PUNCT
ejpam-4586	73	16	e0e1	e0e1	NOUN
ejpam-4586	73	17	=	=	SYM
ejpam-4586	73	18	µe0	µe0	ADJ
ejpam-4586	73	19	,	,	PUNCT
ejpam-4586	73	20	e0e2	e0e2	PROPN
ejpam-4586	73	21	=	=	SYM
ejpam-4586	73	22	γe0	γe0	PROPN
ejpam-4586	73	23	;	;	PUNCT
ejpam-4586	73	24	according	accord	VERB
ejpam-4586	73	25	to	to	ADP
ejpam-4586	73	26	the	the	DET
ejpam-4586	73	27	lemma	lemma	PROPN
ejpam-4586	73	28	(	(	PUNCT
ejpam-4586	73	29	2	2	NUM
ejpam-4586	73	30	)	)	PUNCT
ejpam-4586	73	31	we	we	PRON
ejpam-4586	73	32	have	have	VERB
ejpam-4586	73	33	x31/2	x31/2	PROPN
ejpam-4586	74	1	=	=	SYM
ejpam-4586	74	2	(	(	PUNCT
ejpam-4586	74	3	x21/2	x21/2	PROPN
ejpam-4586	74	4	)	)	PUNCT
ejpam-4586	74	5	2	2	NUM
ejpam-4586	74	6	=	=	SYM
ejpam-4586	74	7	0	0	NUM
ejpam-4586	74	8	which	which	PRON
ejpam-4586	74	9	allows	allow	VERB
ejpam-4586	74	10	us	we	PRON
ejpam-4586	74	11	to	to	PART
ejpam-4586	74	12	obtain	obtain	VERB
ejpam-4586	74	13	the	the	DET
ejpam-4586	74	14	following	follow	VERB
ejpam-4586	74	15	relations	relation	NOUN
ejpam-4586	74	16	:	:	PUNCT
ejpam-4586	74	17	x31/2	x31/2	PUNCT
ejpam-4586	75	1	=	=	SYM
ejpam-4586	75	2	0	0	NUM
ejpam-4586	75	3	⇒	⇒	PROPN
ejpam-4586	75	4	e30	e30	NOUN
ejpam-4586	75	5	=	=	SYM
ejpam-4586	75	6	(	(	PUNCT
ejpam-4586	75	7	α0µ	α0µ	NUM
ejpam-4586	75	8	+	+	NOUN
ejpam-4586	75	9	α1γ)e0	α1γ)e0	NOUN
ejpam-4586	75	10	=	=	SYM
ejpam-4586	75	11	0	0	PUNCT
ejpam-4586	76	1	so	so	ADV
ejpam-4586	76	2	:	:	PUNCT
ejpam-4586	76	3	α0µ	α0µ	NUM
ejpam-4586	76	4	+	+	SYM
ejpam-4586	76	5	α1γ	α1γ	NUM
ejpam-4586	76	6	=	=	SYM
ejpam-4586	76	7	0	0	X
ejpam-4586	76	8	.	.	PUNCT
ejpam-4586	77	1	moreover	moreover	ADV
ejpam-4586	77	2	,	,	PUNCT
ejpam-4586	77	3	(	(	PUNCT
ejpam-4586	77	4	x21/2	x21/2	X
ejpam-4586	77	5	)	)	PUNCT
ejpam-4586	77	6	2	2	NUM
ejpam-4586	77	7	=	=	SYM
ejpam-4586	77	8	0	0	NUM
ejpam-4586	77	9	⇒	⇒	NOUN
ejpam-4586	77	10	(	(	PUNCT
ejpam-4586	77	11	α2	α2	ADV
ejpam-4586	77	12	0γ0+α2	0γ0+α2	NUM
ejpam-4586	77	13	1µ0	1µ0	NUM
ejpam-4586	77	14	+	+	NOUN
ejpam-4586	77	15	2α0α1β0)e0+(α2	2α0α1β0)e0+(α2	NUM
ejpam-4586	77	16	0γ1+α2	0γ1+α2	NUM
ejpam-4586	77	17	1µ1	1µ1	NUM
ejpam-4586	78	1	+	+	NOUN
ejpam-4586	78	2	2α0α1β1)e1+(α2	2α0α1β1)e1+(α2	NOUN
ejpam-4586	78	3	0γ2+α2	0γ2+α2	NUM
ejpam-4586	79	1	1µ2	1µ2	NUM
ejpam-4586	79	2	+	+	NOUN
ejpam-4586	79	3	2α0α1β2)e2	2α0α1β2)e2	NOUN
ejpam-4586	79	4	=	=	SYM
ejpam-4586	79	5	0	0	PUNCT
ejpam-4586	80	1	so	so	ADV
ejpam-4586	80	2	:	:	PUNCT
ejpam-4586	80	3	α2	α2	PROPN
ejpam-4586	80	4	0γ0+α2	0γ0+α2	NUM
ejpam-4586	81	1	1µ0	1µ0	NUM
ejpam-4586	81	2	+	+	NOUN
ejpam-4586	81	3	2α0α1β0	2α0α1β0	NUM
ejpam-4586	81	4	=	=	SYM
ejpam-4586	81	5	0	0	NUM
ejpam-4586	81	6	;	;	PUNCT
ejpam-4586	81	7	α2	α2	ADJ
ejpam-4586	81	8	0γ1+α2	0γ1+α2	NOUN
ejpam-4586	81	9	1µ1	1µ1	NUM
ejpam-4586	81	10	+	+	NOUN
ejpam-4586	81	11	2α0α1β1	2α0α1β1	NUM
ejpam-4586	81	12	=	=	SYM
ejpam-4586	81	13	0	0	NUM
ejpam-4586	81	14	;	;	PUNCT
ejpam-4586	81	15	and	and	CCONJ
ejpam-4586	81	16	α2	α2	ADJ
ejpam-4586	81	17	0γ2+α2	0γ2+α2	NOUN
ejpam-4586	82	1	1µ2	1µ2	NUM
ejpam-4586	82	2	+	+	ADJ
ejpam-4586	82	3	2α0α1β2	2α0α1β2	NUM
ejpam-4586	82	4	=	=	SYM
ejpam-4586	82	5	0	0	NUM
ejpam-4586	82	6	.	.	PUNCT
ejpam-4586	83	1	thus	thus	ADV
ejpam-4586	83	2	we	we	PRON
ejpam-4586	83	3	have	have	VERB
ejpam-4586	83	4	the	the	DET
ejpam-4586	83	5	following	follow	VERB
ejpam-4586	83	6	cases	case	NOUN
ejpam-4586	83	7	,	,	PUNCT
ejpam-4586	83	8	the	the	DET
ejpam-4586	83	9	products	product	NOUN
ejpam-4586	83	10	not	not	PART
ejpam-4586	83	11	mentioned	mention	VERB
ejpam-4586	83	12	in	in	ADP
ejpam-4586	83	13	the	the	DET
ejpam-4586	83	14	multiplication	multiplication	NOUN
ejpam-4586	83	15	table	table	NOUN
ejpam-4586	83	16	of	of	ADP
ejpam-4586	83	17	a	a	PRON
ejpam-4586	83	18	are	be	AUX
ejpam-4586	83	19	zero	zero	NUM
ejpam-4586	83	20	.	.	PUNCT
ejpam-4586	84	1	1st	1st	ADJ
ejpam-4586	84	2	case	case	NOUN
ejpam-4586	84	3	:	:	PUNCT
ejpam-4586	84	4	a2	a2	PROPN
ejpam-4586	84	5	1/2	1/2	NUM
ejpam-4586	84	6	̸=	̸=	PROPN
ejpam-4586	84	7	0	0	NUM
ejpam-4586	84	8	.	.	PUNCT
ejpam-4586	85	1	we	we	PRON
ejpam-4586	85	2	can	can	AUX
ejpam-4586	85	3	set	set	VERB
ejpam-4586	85	4	e1	e1	NOUN
ejpam-4586	85	5	=	=	SYM
ejpam-4586	85	6	e20	e20	NOUN
ejpam-4586	85	7	and	and	CCONJ
ejpam-4586	85	8	therefore	therefore	ADV
ejpam-4586	85	9	α0	α0	ADJ
ejpam-4586	85	10	=	=	SYM
ejpam-4586	85	11	1	1	NUM
ejpam-4586	85	12	,	,	PUNCT
ejpam-4586	85	13	α1	α1	PROPN
ejpam-4586	85	14	=	=	SYM
ejpam-4586	85	15	0	0	NUM
ejpam-4586	85	16	.	.	PUNCT
ejpam-4586	86	1	thus	thus	ADV
ejpam-4586	86	2	,	,	PUNCT
ejpam-4586	86	3	we	we	PRON
ejpam-4586	86	4	have	have	VERB
ejpam-4586	86	5	µ	µ	NOUN
ejpam-4586	86	6	=	=	SYM
ejpam-4586	86	7	γ0	γ0	NOUN
ejpam-4586	86	8	=	=	SYM
ejpam-4586	86	9	γ1	γ1	NOUN
ejpam-4586	86	10	=	=	SYM
ejpam-4586	86	11	γ2	γ2	PROPN
ejpam-4586	86	12	=	=	PUNCT
ejpam-4586	86	13	0	0	PUNCT
ejpam-4586	86	14	and	and	CCONJ
ejpam-4586	86	15	using	use	VERB
ejpam-4586	86	16	the	the	DET
ejpam-4586	86	17	others	other	NOUN
ejpam-4586	86	18	identities	identity	NOUN
ejpam-4586	86	19	of	of	ADP
ejpam-4586	86	20	the	the	DET
ejpam-4586	86	21	lemma	lemma	PROPN
ejpam-4586	86	22	2	2	NUM
ejpam-4586	86	23	;	;	PUNCT
ejpam-4586	86	24	µ0	µ0	NOUN
ejpam-4586	86	25	=	=	SYM
ejpam-4586	86	26	β2	β2	NOUN
ejpam-4586	86	27	=	=	SYM
ejpam-4586	86	28	β1	β1	PROPN
ejpam-4586	86	29	=	=	PUNCT
ejpam-4586	86	30	γ	γ	X
ejpam-4586	86	31	=	=	SYM
ejpam-4586	86	32	µ2	µ2	PROPN
ejpam-4586	86	33	=	=	NOUN
ejpam-4586	86	34	0	0	PROPN
ejpam-4586	86	35	.	.	PUNCT
ejpam-4586	87	1	therefore	therefore	ADV
ejpam-4586	87	2	,	,	PUNCT
ejpam-4586	87	3	the	the	DET
ejpam-4586	87	4	multiplication	multiplication	NOUN
ejpam-4586	87	5	table	table	NOUN
ejpam-4586	87	6	of	of	ADP
ejpam-4586	87	7	a	a	DET
ejpam-4586	87	8	becomes	become	NOUN
ejpam-4586	87	9	e2	e2	NOUN
ejpam-4586	87	10	=	=	SYM
ejpam-4586	87	11	e	e	PROPN
ejpam-4586	87	12	,	,	PUNCT
ejpam-4586	87	13	ee0	ee0	X
ejpam-4586	87	14	=	=	PUNCT
ejpam-4586	87	15	1	1	NUM
ejpam-4586	87	16	2e0	2e0	NUM
ejpam-4586	87	17	,	,	PUNCT
ejpam-4586	87	18	e	e	NOUN
ejpam-4586	87	19	2	2	NUM
ejpam-4586	87	20	0	0	NUM
ejpam-4586	87	21	=	=	SYM
ejpam-4586	87	22	e1	e1	PROPN
ejpam-4586	87	23	,	,	PUNCT
ejpam-4586	87	24	e1e2	e1e2	X
ejpam-4586	87	25	=	=	SYM
ejpam-4586	87	26	β0e0	β0e0	X
ejpam-4586	87	27	,	,	PUNCT
ejpam-4586	87	28	e22	e22	NOUN
ejpam-4586	87	29	=	=	SYM
ejpam-4586	87	30	µ1e1	µ1e1	NOUN
ejpam-4586	87	31	.	.	PUNCT
ejpam-4586	88	1	let	let	VERB
ejpam-4586	88	2	x	x	PUNCT
ejpam-4586	88	3	=	=	PRON
ejpam-4586	88	4	e+	e+	PUNCT
ejpam-4586	88	5	ae0	ae0	NOUN
ejpam-4586	88	6	+	+	CCONJ
ejpam-4586	88	7	be1	be1	PROPN
ejpam-4586	88	8	+	+	X
ejpam-4586	88	9	ce2	ce2	PROPN
ejpam-4586	88	10	an	an	DET
ejpam-4586	88	11	element	element	NOUN
ejpam-4586	88	12	in	in	ADP
ejpam-4586	88	13	a	a	PRON
ejpam-4586	88	14	of	of	ADP
ejpam-4586	88	15	weight	weight	NOUN
ejpam-4586	88	16	1	1	NUM
ejpam-4586	88	17	.	.	PUNCT
ejpam-4586	89	1	we	we	PRON
ejpam-4586	89	2	have	have	VERB
ejpam-4586	89	3	(	(	PUNCT
ejpam-4586	89	4	x2)3	x2)3	NUM
ejpam-4586	89	5	−	−	PROPN
ejpam-4586	89	6	(	(	PUNCT
ejpam-4586	89	7	x2)2	x2)2	X
ejpam-4586	89	8	=	=	SYM
ejpam-4586	89	9	0	0	NUM
ejpam-4586	89	10	,	,	PUNCT
ejpam-4586	89	11	so	so	ADV
ejpam-4586	89	12	for	for	ADP
ejpam-4586	89	13	any	any	DET
ejpam-4586	89	14	x	x	NOUN
ejpam-4586	89	15	in	in	ADP
ejpam-4586	89	16	a	a	PRON
ejpam-4586	89	17	,	,	PUNCT
ejpam-4586	89	18	(	(	PUNCT
ejpam-4586	89	19	x2)3	x2)3	NUM
ejpam-4586	89	20	−	−	PROPN
ejpam-4586	89	21	ω(x)2(x2)2	ω(x)2(x2)2	NUM
ejpam-4586	89	22	=	=	SYM
ejpam-4586	89	23	0	0	NUM
ejpam-4586	89	24	.	.	PUNCT
ejpam-4586	90	1	2nd	2nd	ADJ
ejpam-4586	90	2	case	case	NOUN
ejpam-4586	90	3	:	:	PUNCT
ejpam-4586	90	4	a2	a2	PROPN
ejpam-4586	90	5	1/2	1/2	NUM
ejpam-4586	90	6	=	=	SYM
ejpam-4586	90	7	0	0	X
ejpam-4586	90	8	.	.	PUNCT
ejpam-4586	91	1	we	we	PRON
ejpam-4586	91	2	have	have	VERB
ejpam-4586	91	3	e2	e2	NOUN
ejpam-4586	91	4	=	=	SYM
ejpam-4586	91	5	e	e	PROPN
ejpam-4586	91	6	,	,	PUNCT
ejpam-4586	91	7	ee0	ee0	X
ejpam-4586	91	8	=	=	PUNCT
ejpam-4586	91	9	1	1	NUM
ejpam-4586	91	10	2e0	2e0	NUM
ejpam-4586	91	11	,	,	PUNCT
ejpam-4586	91	12	ee1	ee1	X
ejpam-4586	92	1	=	=	PUNCT
ejpam-4586	92	2	ee2	ee2	NOUN
ejpam-4586	92	3	=	=	SYM
ejpam-4586	92	4	0	0	NUM
ejpam-4586	92	5	,	,	PUNCT
ejpam-4586	92	6	e1e2	e1e2	X
ejpam-4586	92	7	=	=	SYM
ejpam-4586	92	8	β0e0+β1e1+β2e2	β0e0+β1e1+β2e2	PROPN
ejpam-4586	92	9	,	,	PUNCT
ejpam-4586	92	10	e21	e21	PROPN
ejpam-4586	92	11	=	=	SYM
ejpam-4586	92	12	γ0e0+γ1e1+γ2e2	γ0e0+γ1e1+γ2e2	PROPN
ejpam-4586	92	13	,	,	PUNCT
ejpam-4586	92	14	e22	e22	NOUN
ejpam-4586	92	15	=	=	PUNCT
ejpam-4586	92	16	µ0e0	µ0e0	PUNCT
ejpam-4586	92	17	+	+	NOUN
ejpam-4586	92	18	µ1e1	µ1e1	NOUN
ejpam-4586	92	19	+	+	CCONJ
ejpam-4586	92	20	µ2e2	µ2e2	PROPN
ejpam-4586	92	21	,	,	PUNCT
ejpam-4586	92	22	e0e1	e0e1	NOUN
ejpam-4586	92	23	=	=	SYM
ejpam-4586	92	24	µe0	µe0	ADJ
ejpam-4586	92	25	,	,	PUNCT
ejpam-4586	92	26	e0e2	e0e2	PROPN
ejpam-4586	92	27	=	=	SYM
ejpam-4586	92	28	γe0	γe0	PROPN
ejpam-4586	92	29	.	.	PUNCT
ejpam-4586	93	1	determine	determine	VERB
ejpam-4586	93	2	the	the	DET
ejpam-4586	93	3	identity	identity	NOUN
ejpam-4586	93	4	verified	verify	VERB
ejpam-4586	93	5	by	by	ADP
ejpam-4586	93	6	a	a	DET
ejpam-4586	93	7	according	accord	VERB
ejpam-4586	93	8	to	to	ADP
ejpam-4586	93	9	its	its	PRON
ejpam-4586	93	10	multiplication	multiplication	NOUN
ejpam-4586	93	11	table	table	NOUN
ejpam-4586	93	12	.	.	PUNCT
ejpam-4586	94	1	using	use	VERB
ejpam-4586	94	2	the	the	DET
ejpam-4586	94	3	identities	identity	NOUN
ejpam-4586	94	4	of	of	ADP
ejpam-4586	94	5	the	the	DET
ejpam-4586	94	6	lemma	lemma	PROPN
ejpam-4586	94	7	2	2	NUM
ejpam-4586	94	8	we	we	PRON
ejpam-4586	94	9	have	have	VERB
ejpam-4586	94	10	γ1µ+γ2γ	γ1µ+γ2γ	PROPN
ejpam-4586	94	11	=	=	SYM
ejpam-4586	94	12	0	0	NUM
ejpam-4586	94	13	,	,	PUNCT
ejpam-4586	94	14	µ1µ+µ2γ	µ1µ+µ2γ	PROPN
ejpam-4586	94	15	=	=	SYM
ejpam-4586	94	16	0	0	NUM
ejpam-4586	94	17	,	,	PUNCT
ejpam-4586	94	18	γ1(γ21	γ1(γ21	NOUN
ejpam-4586	94	19	+	+	NOUN
ejpam-4586	94	20	γ2β1)+β1γ2(γ1	γ2β1)+β1γ2(γ1	NOUN
ejpam-4586	94	21	+	+	CCONJ
ejpam-4586	94	22	β2	β2	NOUN
ejpam-4586	94	23	)	)	PUNCT
ejpam-4586	94	24	=	=	SYM
ejpam-4586	95	1	0	0	NUM
ejpam-4586	95	2	,	,	PUNCT
ejpam-4586	95	3	γ2(γ	γ2(γ	NUM
ejpam-4586	95	4	2	2	NUM
ejpam-4586	95	5	1	1	NUM
ejpam-4586	95	6	+	+	CCONJ
ejpam-4586	95	7	γ2β1	γ2β1	NOUN
ejpam-4586	95	8	)	)	PUNCT
ejpam-4586	96	1	+	+	NUM
ejpam-4586	96	2	β2γ2(γ1	β2γ2(γ1	NOUN
ejpam-4586	96	3	+	+	CCONJ
ejpam-4586	96	4	β2	β2	VERB
ejpam-4586	96	5	)	)	PUNCT
ejpam-4586	96	6	=	=	SYM
ejpam-4586	96	7	0	0	NUM
ejpam-4586	96	8	,	,	PUNCT
ejpam-4586	96	9	µ1β1(β1	µ1β1(β1	ADV
ejpam-4586	96	10	+	+	CCONJ
ejpam-4586	96	11	µ2	µ2	PROPN
ejpam-4586	96	12	2	2	NUM
ejpam-4586	96	13	)	)	PUNCT
ejpam-4586	96	14	+	+	CCONJ
ejpam-4586	96	15	µ1(µ1β2	µ1(µ1β2	PROPN
ejpam-4586	96	16	+	+	CCONJ
ejpam-4586	96	17	µ3	µ3	NUM
ejpam-4586	96	18	2	2	NUM
ejpam-4586	96	19	)	)	PUNCT
ejpam-4586	96	20	=	=	SYM
ejpam-4586	96	21	0	0	NUM
ejpam-4586	96	22	and	and	CCONJ
ejpam-4586	96	23	µ1β2(β1	µ1β2(β1	NOUN
ejpam-4586	96	24	+	+	CCONJ
ejpam-4586	96	25	µ2	µ2	PROPN
ejpam-4586	96	26	2	2	NUM
ejpam-4586	96	27	)	)	PUNCT
ejpam-4586	96	28	+	+	CCONJ
ejpam-4586	96	29	µ2(µ1β2	µ2(µ1β2	NOUN
ejpam-4586	96	30	+	+	CCONJ
ejpam-4586	96	31	µ3	µ3	NOUN
ejpam-4586	96	32	2	2	NUM
ejpam-4586	96	33	)	)	PUNCT
ejpam-4586	96	34	=	=	SYM
ejpam-4586	96	35	0	0	X
ejpam-4586	96	36	.	.	PUNCT
ejpam-4586	97	1	i	i	PRON
ejpam-4586	97	2	)	)	PUNCT
ejpam-4586	97	3	γ	γ	X
ejpam-4586	97	4	=	=	SYM
ejpam-4586	97	5	0	0	NUM
ejpam-4586	97	6	and	and	CCONJ
ejpam-4586	97	7	µ	µ	PRON
ejpam-4586	97	8	̸=	̸=	PROPN
ejpam-4586	97	9	0	0	NUM
ejpam-4586	97	10	.	.	PUNCT
ejpam-4586	98	1	we	we	PRON
ejpam-4586	98	2	can	can	AUX
ejpam-4586	98	3	set	set	VERB
ejpam-4586	98	4	µ	µ	NOUN
ejpam-4586	98	5	=	=	SYM
ejpam-4586	98	6	1	1	NUM
ejpam-4586	98	7	and	and	CCONJ
ejpam-4586	98	8	then	then	ADV
ejpam-4586	98	9	γ1	γ1	PROPN
ejpam-4586	98	10	=	=	SYM
ejpam-4586	98	11	µ1	µ1	PROPN
ejpam-4586	98	12	=	=	NOUN
ejpam-4586	98	13	µ2	µ2	PROPN
ejpam-4586	98	14	=	=	PUNCT
ejpam-4586	98	15	γ2β1	γ2β1	PROPN
ejpam-4586	98	16	=	=	PUNCT
ejpam-4586	98	17	γ2β2	γ2β2	PROPN
ejpam-4586	98	18	=	=	NOUN
ejpam-4586	98	19	0	0	NUM
ejpam-4586	98	20	.	.	PUNCT
ejpam-4586	99	1	the	the	DET
ejpam-4586	99	2	multiplication	multiplication	NOUN
ejpam-4586	99	3	table	table	NOUN
ejpam-4586	99	4	of	of	ADP
ejpam-4586	99	5	a	a	DET
ejpam-4586	99	6	becomes	become	NOUN
ejpam-4586	99	7	e2	e2	NOUN
ejpam-4586	99	8	=	=	SYM
ejpam-4586	99	9	e	e	PROPN
ejpam-4586	99	10	,	,	PUNCT
ejpam-4586	99	11	ee0	ee0	X
ejpam-4586	99	12	=	=	PUNCT
ejpam-4586	99	13	1	1	NUM
ejpam-4586	99	14	2e0	2e0	NUM
ejpam-4586	99	15	,	,	PUNCT
ejpam-4586	99	16	e1e2	e1e2	X
ejpam-4586	99	17	=	=	SYM
ejpam-4586	99	18	β0e0	β0e0	PUNCT
ejpam-4586	99	19	+	+	PUNCT
ejpam-4586	99	20	β1e1	β1e1	X
ejpam-4586	100	1	+	+	SYM
ejpam-4586	100	2	β2e2	β2e2	PROPN
ejpam-4586	100	3	,	,	PUNCT
ejpam-4586	100	4	e21	e21	PROPN
ejpam-4586	100	5	=	=	SYM
ejpam-4586	100	6	γ0e0	γ0e0	X
ejpam-4586	100	7	+	+	NUM
ejpam-4586	100	8	γ2e2	γ2e2	PROPN
ejpam-4586	100	9	,	,	PUNCT
ejpam-4586	100	10	e22	e22	PROPN
ejpam-4586	100	11	=	=	SYM
ejpam-4586	100	12	µ0e0	µ0e0	X
ejpam-4586	100	13	,	,	PUNCT
ejpam-4586	100	14	e0e1	e0e1	NOUN
ejpam-4586	100	15	=	=	PROPN
ejpam-4586	100	16	e0	e0	PROPN
ejpam-4586	100	17	.	.	PUNCT
ejpam-4586	101	1	w.	w.	PROPN
ejpam-4586	101	2	a.	a.	PROPN
ejpam-4586	101	3	zangre	zangre	PROPN
ejpam-4586	101	4	,	,	PUNCT
ejpam-4586	101	5	a.	a.	NOUN
ejpam-4586	101	6	conseibo	conseibo	PROPN
ejpam-4586	101	7	/	/	SYM
ejpam-4586	101	8	eur	eur	PROPN
ejpam-4586	101	9	.	.	PUNCT
ejpam-4586	102	1	j.	j.	PROPN
ejpam-4586	102	2	pure	pure	PROPN
ejpam-4586	102	3	appl	appl	PROPN
ejpam-4586	102	4	.	.	PROPN
ejpam-4586	102	5	math	math	PROPN
ejpam-4586	102	6	,	,	PUNCT
ejpam-4586	102	7	15	15	NUM
ejpam-4586	102	8	(	(	PUNCT
ejpam-4586	102	9	4	4	NUM
ejpam-4586	102	10	)	)	PUNCT
ejpam-4586	102	11	(	(	PUNCT
ejpam-4586	102	12	2022	2022	NUM
ejpam-4586	102	13	)	)	PUNCT
ejpam-4586	102	14	,	,	PUNCT
ejpam-4586	102	15	1887	1887	NUM
ejpam-4586	102	16	-	-	SYM
ejpam-4586	102	17	1907	1907	NUM
ejpam-4586	102	18	1891	1891	NUM
ejpam-4586	102	19	i.1	i.1	NUM
ejpam-4586	102	20	)	)	PUNCT
ejpam-4586	102	21	suppose	suppose	VERB
ejpam-4586	102	22	γ2	γ2	PROPN
ejpam-4586	102	23	̸=	̸=	PROPN
ejpam-4586	102	24	0	0	NUM
ejpam-4586	102	25	.	.	PUNCT
ejpam-4586	103	1	then	then	ADV
ejpam-4586	103	2	β1	β1	PROPN
ejpam-4586	103	3	=	=	SYM
ejpam-4586	103	4	β2	β2	NOUN
ejpam-4586	103	5	=	=	NOUN
ejpam-4586	103	6	0	0	NUM
ejpam-4586	103	7	,	,	PUNCT
ejpam-4586	103	8	so	so	ADV
ejpam-4586	103	9	e2	e2	PROPN
ejpam-4586	103	10	=	=	SYM
ejpam-4586	103	11	e	e	PROPN
ejpam-4586	103	12	,	,	PUNCT
ejpam-4586	103	13	ee0	ee0	X
ejpam-4586	104	1	=	=	PUNCT
ejpam-4586	104	2	1	1	NUM
ejpam-4586	104	3	2e0	2e0	NUM
ejpam-4586	104	4	,	,	PUNCT
ejpam-4586	104	5	e1e2	e1e2	X
ejpam-4586	104	6	=	=	SYM
ejpam-4586	104	7	β0e0	β0e0	X
ejpam-4586	104	8	,	,	PUNCT
ejpam-4586	104	9	e21	e21	PROPN
ejpam-4586	104	10	=	=	SYM
ejpam-4586	104	11	γ0e0	γ0e0	X
ejpam-4586	104	12	+	+	NUM
ejpam-4586	104	13	e2	e2	PROPN
ejpam-4586	104	14	,	,	PUNCT
ejpam-4586	104	15	e22	e22	NOUN
ejpam-4586	104	16	=	=	SYM
ejpam-4586	104	17	µ0e0	µ0e0	X
ejpam-4586	104	18	,	,	PUNCT
ejpam-4586	104	19	e0e1	e0e1	NOUN
ejpam-4586	104	20	=	=	PROPN
ejpam-4586	104	21	e0	e0	PROPN
ejpam-4586	104	22	and	and	CCONJ
ejpam-4586	104	23	for	for	ADP
ejpam-4586	104	24	any	any	DET
ejpam-4586	104	25	x	x	NOUN
ejpam-4586	104	26	in	in	ADP
ejpam-4586	104	27	a	a	PRON
ejpam-4586	104	28	,	,	PUNCT
ejpam-4586	104	29	(	(	PUNCT
ejpam-4586	104	30	x3)2	x3)2	PUNCT
ejpam-4586	104	31	=	=	SYM
ejpam-4586	104	32	ω(x)3x3	ω(x)3x3	ADJ
ejpam-4586	104	33	.	.	PUNCT
ejpam-4586	104	34	i.2	i.2	X
ejpam-4586	104	35	)	)	PUNCT
ejpam-4586	104	36	γ2	γ2	NOUN
ejpam-4586	104	37	=	=	NOUN
ejpam-4586	104	38	0	0	X
ejpam-4586	104	39	.	.	PUNCT
ejpam-4586	105	1	then	then	ADV
ejpam-4586	105	2	e2	e2	PROPN
ejpam-4586	105	3	=	=	SYM
ejpam-4586	105	4	e	e	PROPN
ejpam-4586	105	5	,	,	PUNCT
ejpam-4586	105	6	ee0	ee0	X
ejpam-4586	105	7	=	=	PUNCT
ejpam-4586	105	8	1	1	NUM
ejpam-4586	105	9	2e0	2e0	NUM
ejpam-4586	105	10	,	,	PUNCT
ejpam-4586	105	11	e1e2	e1e2	X
ejpam-4586	105	12	=	=	SYM
ejpam-4586	105	13	β0e0	β0e0	PUNCT
ejpam-4586	105	14	+	+	PUNCT
ejpam-4586	105	15	β1e1	β1e1	X
ejpam-4586	105	16	+	+	SYM
ejpam-4586	105	17	β2e2	β2e2	PROPN
ejpam-4586	105	18	,	,	PUNCT
ejpam-4586	105	19	e21	e21	PROPN
ejpam-4586	105	20	=	=	SYM
ejpam-4586	105	21	γ0e0	γ0e0	X
ejpam-4586	105	22	,	,	PUNCT
ejpam-4586	105	23	e22	e22	NOUN
ejpam-4586	105	24	=	=	SYM
ejpam-4586	105	25	µ0e0	µ0e0	X
ejpam-4586	105	26	,	,	PUNCT
ejpam-4586	105	27	e0e1	e0e1	NOUN
ejpam-4586	105	28	=	=	PROPN
ejpam-4586	105	29	e0	e0	PROPN
ejpam-4586	105	30	.	.	PUNCT
ejpam-4586	106	1	using	use	VERB
ejpam-4586	106	2	the	the	DET
ejpam-4586	106	3	identities	identity	NOUN
ejpam-4586	106	4	of	of	ADP
ejpam-4586	106	5	the	the	DET
ejpam-4586	106	6	lemma	lemma	PROPN
ejpam-4586	106	7	2	2	NUM
ejpam-4586	106	8	we	we	PRON
ejpam-4586	106	9	have	have	VERB
ejpam-4586	106	10	β1	β1	NOUN
ejpam-4586	106	11	=	=	SYM
ejpam-4586	106	12	β2	β2	NOUN
ejpam-4586	106	13	=	=	NOUN
ejpam-4586	106	14	0	0	NUM
ejpam-4586	106	15	.	.	PUNCT
ejpam-4586	107	1	therefore	therefore	ADV
ejpam-4586	107	2	,	,	PUNCT
ejpam-4586	107	3	e2	e2	PROPN
ejpam-4586	107	4	=	=	SYM
ejpam-4586	107	5	e	e	PROPN
ejpam-4586	107	6	,	,	PUNCT
ejpam-4586	107	7	ee0	ee0	X
ejpam-4586	107	8	=	=	PUNCT
ejpam-4586	107	9	1	1	NUM
ejpam-4586	107	10	2e0	2e0	NUM
ejpam-4586	107	11	,	,	PUNCT
ejpam-4586	107	12	e1e2	e1e2	X
ejpam-4586	107	13	=	=	SYM
ejpam-4586	107	14	β0e0	β0e0	X
ejpam-4586	107	15	,	,	PUNCT
ejpam-4586	107	16	e21	e21	PROPN
ejpam-4586	107	17	=	=	SYM
ejpam-4586	107	18	γ0e0	γ0e0	X
ejpam-4586	107	19	,	,	PUNCT
ejpam-4586	107	20	e22	e22	NOUN
ejpam-4586	107	21	=	=	SYM
ejpam-4586	107	22	µ0e0	µ0e0	X
ejpam-4586	107	23	,	,	PUNCT
ejpam-4586	107	24	e0e1	e0e1	NOUN
ejpam-4586	107	25	=	=	PROPN
ejpam-4586	107	26	e0	e0	PROPN
ejpam-4586	107	27	.	.	PUNCT
ejpam-4586	108	1	for	for	ADP
ejpam-4586	108	2	any	any	DET
ejpam-4586	108	3	x	x	NOUN
ejpam-4586	108	4	in	in	ADP
ejpam-4586	108	5	a	a	PRON
ejpam-4586	108	6	,	,	PUNCT
ejpam-4586	108	7	(	(	PUNCT
ejpam-4586	108	8	x2)2	x2)2	CCONJ
ejpam-4586	108	9	=	=	PUNCT
ejpam-4586	108	10	ω(x)2x2	ω(x)2x2	PROPN
ejpam-4586	108	11	.	.	PUNCT
ejpam-4586	108	12	ii	ii	PROPN
ejpam-4586	108	13	)	)	PUNCT
ejpam-4586	108	14	µ	µ	X
ejpam-4586	108	15	=	=	SYM
ejpam-4586	108	16	0	0	NUM
ejpam-4586	108	17	and	and	CCONJ
ejpam-4586	108	18	γ	γ	PROPN
ejpam-4586	108	19	̸=	̸=	PROPN
ejpam-4586	108	20	0	0	NUM
ejpam-4586	108	21	.	.	PUNCT
ejpam-4586	109	1	then	then	ADV
ejpam-4586	109	2	γ1	γ1	PROPN
ejpam-4586	109	3	=	=	SYM
ejpam-4586	109	4	γ2	γ2	PROPN
ejpam-4586	109	5	=	=	SYM
ejpam-4586	109	6	µ2	µ2	PROPN
ejpam-4586	109	7	=	=	PUNCT
ejpam-4586	109	8	µ1β1	µ1β1	PROPN
ejpam-4586	109	9	=	=	PUNCT
ejpam-4586	109	10	µ1β2	µ1β2	NOUN
ejpam-4586	109	11	=	=	SYM
ejpam-4586	109	12	0	0	NUM
ejpam-4586	109	13	and	and	CCONJ
ejpam-4586	109	14	e2	e2	PROPN
ejpam-4586	109	15	=	=	SYM
ejpam-4586	109	16	e	e	PROPN
ejpam-4586	109	17	,	,	PUNCT
ejpam-4586	109	18	ee0	ee0	X
ejpam-4586	109	19	=	=	PUNCT
ejpam-4586	109	20	1	1	NUM
ejpam-4586	109	21	2e0	2e0	NUM
ejpam-4586	109	22	,	,	PUNCT
ejpam-4586	109	23	e1e2	e1e2	X
ejpam-4586	109	24	=	=	SYM
ejpam-4586	109	25	β0e0	β0e0	PUNCT
ejpam-4586	109	26	+	+	PUNCT
ejpam-4586	109	27	β1e1	β1e1	X
ejpam-4586	110	1	+	+	SYM
ejpam-4586	110	2	β2e2	β2e2	PROPN
ejpam-4586	110	3	,	,	PUNCT
ejpam-4586	110	4	e21	e21	PROPN
ejpam-4586	110	5	=	=	SYM
ejpam-4586	110	6	γ0e0	γ0e0	X
ejpam-4586	110	7	,	,	PUNCT
ejpam-4586	110	8	e22	e22	NOUN
ejpam-4586	110	9	=	=	SYM
ejpam-4586	110	10	µ0e0	µ0e0	PUNCT
ejpam-4586	110	11	+	+	NOUN
ejpam-4586	110	12	µ1e1	µ1e1	NOUN
ejpam-4586	110	13	,	,	PUNCT
ejpam-4586	110	14	e0e1	e0e1	NOUN
ejpam-4586	110	15	=	=	SYM
ejpam-4586	110	16	µe0	µe0	ADJ
ejpam-4586	110	17	,	,	PUNCT
ejpam-4586	110	18	e0e2	e0e2	PROPN
ejpam-4586	110	19	=	=	SYM
ejpam-4586	110	20	γe0	γe0	PROPN
ejpam-4586	110	21	.	.	PUNCT
ejpam-4586	111	1	ii.1	ii.1	X
ejpam-4586	111	2	)	)	PUNCT
ejpam-4586	111	3	µ1	µ1	PROPN
ejpam-4586	111	4	̸=	̸=	PROPN
ejpam-4586	111	5	0	0	NUM
ejpam-4586	111	6	,	,	PUNCT
ejpam-4586	111	7	then	then	ADV
ejpam-4586	111	8	β1	β1	PROPN
ejpam-4586	111	9	=	=	SYM
ejpam-4586	111	10	β2	β2	NOUN
ejpam-4586	111	11	=	=	NOUN
ejpam-4586	111	12	0	0	NUM
ejpam-4586	111	13	,	,	PUNCT
ejpam-4586	111	14	so	so	ADV
ejpam-4586	111	15	e2	e2	PROPN
ejpam-4586	111	16	=	=	SYM
ejpam-4586	111	17	e	e	PROPN
ejpam-4586	111	18	,	,	PUNCT
ejpam-4586	111	19	ee0	ee0	X
ejpam-4586	112	1	=	=	PUNCT
ejpam-4586	112	2	1	1	NUM
ejpam-4586	112	3	2e0	2e0	NUM
ejpam-4586	112	4	,	,	PUNCT
ejpam-4586	112	5	e1e2	e1e2	X
ejpam-4586	112	6	=	=	SYM
ejpam-4586	112	7	β0e0	β0e0	X
ejpam-4586	112	8	,	,	PUNCT
ejpam-4586	112	9	e21	e21	PROPN
ejpam-4586	112	10	=	=	SYM
ejpam-4586	112	11	γ0e0	γ0e0	X
ejpam-4586	112	12	,	,	PUNCT
ejpam-4586	112	13	e22	e22	NOUN
ejpam-4586	112	14	=	=	PUNCT
ejpam-4586	112	15	µ0e0+e1	µ0e0+e1	X
ejpam-4586	112	16	(	(	PUNCT
ejpam-4586	112	17	we	we	PRON
ejpam-4586	112	18	can	can	AUX
ejpam-4586	112	19	set	set	VERB
ejpam-4586	112	20	µ1	µ1	PROPN
ejpam-4586	112	21	=	=	SYM
ejpam-4586	112	22	1	1	NUM
ejpam-4586	112	23	)	)	PUNCT
ejpam-4586	112	24	,	,	PUNCT
ejpam-4586	112	25	e0e1	e0e1	NOUN
ejpam-4586	112	26	=	=	SYM
ejpam-4586	112	27	µe0	µe0	ADJ
ejpam-4586	112	28	,	,	PUNCT
ejpam-4586	112	29	e0e2	e0e2	NOUN
ejpam-4586	112	30	=	=	SYM
ejpam-4586	112	31	γe0	γe0	NOUN
ejpam-4586	112	32	and	and	CCONJ
ejpam-4586	112	33	for	for	ADP
ejpam-4586	112	34	any	any	DET
ejpam-4586	112	35	x	x	NOUN
ejpam-4586	112	36	in	in	ADP
ejpam-4586	112	37	a	a	DET
ejpam-4586	112	38	,	,	PUNCT
ejpam-4586	112	39	(	(	PUNCT
ejpam-4586	112	40	x2)2	x2)2	CCONJ
ejpam-4586	112	41	=	=	PUNCT
ejpam-4586	112	42	ω(x)2x2	ω(x)2x2	NOUN
ejpam-4586	112	43	.	.	PUNCT
ejpam-4586	113	1	ii.2	ii.2	NOUN
ejpam-4586	113	2	)	)	PUNCT
ejpam-4586	113	3	µ1	µ1	NOUN
ejpam-4586	113	4	=	=	SYM
ejpam-4586	113	5	0	0	NUM
ejpam-4586	113	6	,	,	PUNCT
ejpam-4586	113	7	then	then	ADV
ejpam-4586	113	8	e2	e2	PROPN
ejpam-4586	113	9	=	=	SYM
ejpam-4586	113	10	e	e	PROPN
ejpam-4586	113	11	,	,	PUNCT
ejpam-4586	113	12	ee0	ee0	X
ejpam-4586	114	1	=	=	PUNCT
ejpam-4586	114	2	1	1	NUM
ejpam-4586	114	3	2e0	2e0	NUM
ejpam-4586	114	4	,	,	PUNCT
ejpam-4586	114	5	e1e2	e1e2	X
ejpam-4586	114	6	=	=	SYM
ejpam-4586	114	7	β0e0	β0e0	PUNCT
ejpam-4586	114	8	+	+	PUNCT
ejpam-4586	114	9	β1e1	β1e1	X
ejpam-4586	115	1	+	+	SYM
ejpam-4586	115	2	β2e2	β2e2	PROPN
ejpam-4586	115	3	,	,	PUNCT
ejpam-4586	115	4	e21	e21	PROPN
ejpam-4586	115	5	=	=	SYM
ejpam-4586	115	6	γ0e0	γ0e0	X
ejpam-4586	115	7	,	,	PUNCT
ejpam-4586	115	8	e22	e22	NOUN
ejpam-4586	115	9	=	=	SYM
ejpam-4586	115	10	µ0e0	µ0e0	X
ejpam-4586	115	11	,	,	PUNCT
ejpam-4586	115	12	e0e1	e0e1	NOUN
ejpam-4586	115	13	=	=	SYM
ejpam-4586	115	14	µe0	µe0	ADJ
ejpam-4586	115	15	,	,	PUNCT
ejpam-4586	115	16	e0e2	e0e2	PROPN
ejpam-4586	115	17	=	=	SYM
ejpam-4586	115	18	γe0	γe0	PROPN
ejpam-4586	115	19	.	.	PUNCT
ejpam-4586	116	1	using	use	VERB
ejpam-4586	116	2	the	the	DET
ejpam-4586	116	3	identities	identity	NOUN
ejpam-4586	116	4	of	of	ADP
ejpam-4586	116	5	the	the	DET
ejpam-4586	116	6	lemma	lemma	PROPN
ejpam-4586	116	7	2	2	NUM
ejpam-4586	116	8	we	we	PRON
ejpam-4586	116	9	have	have	VERB
ejpam-4586	116	10	β1	β1	NOUN
ejpam-4586	116	11	=	=	SYM
ejpam-4586	116	12	β2	β2	NOUN
ejpam-4586	116	13	=	=	NOUN
ejpam-4586	116	14	0	0	NUM
ejpam-4586	116	15	.	.	PUNCT
ejpam-4586	117	1	therefore	therefore	ADV
ejpam-4586	117	2	,	,	PUNCT
ejpam-4586	117	3	e2	e2	PROPN
ejpam-4586	117	4	=	=	SYM
ejpam-4586	117	5	e	e	PROPN
ejpam-4586	117	6	,	,	PUNCT
ejpam-4586	117	7	ee0	ee0	X
ejpam-4586	117	8	=	=	PUNCT
ejpam-4586	117	9	1	1	NUM
ejpam-4586	117	10	2e0	2e0	NUM
ejpam-4586	117	11	,	,	PUNCT
ejpam-4586	117	12	e1e2	e1e2	X
ejpam-4586	117	13	=	=	SYM
ejpam-4586	117	14	β0e0	β0e0	X
ejpam-4586	117	15	,	,	PUNCT
ejpam-4586	117	16	e21	e21	PROPN
ejpam-4586	117	17	=	=	SYM
ejpam-4586	117	18	γ0e0	γ0e0	X
ejpam-4586	117	19	,	,	PUNCT
ejpam-4586	117	20	e22	e22	NOUN
ejpam-4586	117	21	=	=	SYM
ejpam-4586	117	22	µ0e0	µ0e0	X
ejpam-4586	117	23	,	,	PUNCT
ejpam-4586	117	24	e0e1	e0e1	NOUN
ejpam-4586	117	25	=	=	SYM
ejpam-4586	117	26	µe0	µe0	ADJ
ejpam-4586	117	27	,	,	PUNCT
ejpam-4586	117	28	e0e2	e0e2	PROPN
ejpam-4586	117	29	=	=	SYM
ejpam-4586	117	30	γe0	γe0	PROPN
ejpam-4586	117	31	.	.	PUNCT
ejpam-4586	118	1	for	for	ADP
ejpam-4586	118	2	any	any	DET
ejpam-4586	118	3	x	x	NOUN
ejpam-4586	118	4	in	in	ADP
ejpam-4586	118	5	a	a	PRON
ejpam-4586	118	6	,	,	PUNCT
ejpam-4586	118	7	(	(	PUNCT
ejpam-4586	118	8	x2)2	x2)2	CCONJ
ejpam-4586	118	9	=	=	PUNCT
ejpam-4586	118	10	ω(x)2x2	ω(x)2x2	NOUN
ejpam-4586	118	11	.	.	PUNCT
ejpam-4586	118	12	iii	iii	X
ejpam-4586	118	13	)	)	PUNCT
ejpam-4586	118	14	γ	γ	PROPN
ejpam-4586	118	15	=	=	SYM
ejpam-4586	118	16	µ	µ	X
ejpam-4586	118	17	=	=	SYM
ejpam-4586	118	18	0	0	NUM
ejpam-4586	118	19	e2	e2	PROPN
ejpam-4586	118	20	=	=	SYM
ejpam-4586	118	21	e	e	PROPN
ejpam-4586	118	22	,	,	PUNCT
ejpam-4586	118	23	ee0	ee0	X
ejpam-4586	118	24	=	=	PUNCT
ejpam-4586	118	25	1	1	NUM
ejpam-4586	118	26	2e0	2e0	NUM
ejpam-4586	118	27	,	,	PUNCT
ejpam-4586	118	28	e1e2	e1e2	X
ejpam-4586	118	29	=	=	SYM
ejpam-4586	118	30	β0e0+β1e1+β2e2	β0e0+β1e1+β2e2	PROPN
ejpam-4586	118	31	,	,	PUNCT
ejpam-4586	118	32	e21	e21	PROPN
ejpam-4586	118	33	=	=	SYM
ejpam-4586	118	34	γ0e0+γ1e1+γ2e2	γ0e0+γ1e1+γ2e2	PROPN
ejpam-4586	118	35	,	,	PUNCT
ejpam-4586	118	36	e22	e22	PROPN
ejpam-4586	118	37	=	=	SYM
ejpam-4586	118	38	µ0e0+µ1e1+µ2e2	µ0e0+µ1e1+µ2e2	PROPN
ejpam-4586	118	39	.	.	PUNCT
ejpam-4586	119	1	iii.1	iii.1	VERB
ejpam-4586	119	2	)	)	PUNCT
ejpam-4586	119	3	γ1	γ1	NOUN
ejpam-4586	119	4	=	=	SYM
ejpam-4586	119	5	0	0	NUM
ejpam-4586	119	6	and	and	CCONJ
ejpam-4586	119	7	γ2	γ2	PROPN
ejpam-4586	119	8	̸=	̸=	PROPN
ejpam-4586	119	9	0	0	NUM
ejpam-4586	119	10	,	,	PUNCT
ejpam-4586	119	11	then	then	ADV
ejpam-4586	119	12	β1	β1	PROPN
ejpam-4586	119	13	=	=	SYM
ejpam-4586	119	14	β2	β2	NOUN
ejpam-4586	119	15	=	=	PROPN
ejpam-4586	119	16	µ2	µ2	PROPN
ejpam-4586	119	17	=	=	SYM
ejpam-4586	119	18	0	0	NUM
ejpam-4586	119	19	,	,	PUNCT
ejpam-4586	119	20	so	so	ADV
ejpam-4586	119	21	e2	e2	PROPN
ejpam-4586	119	22	=	=	SYM
ejpam-4586	119	23	e	e	PROPN
ejpam-4586	119	24	,	,	PUNCT
ejpam-4586	119	25	ee0	ee0	X
ejpam-4586	119	26	=	=	PUNCT
ejpam-4586	119	27	1	1	NUM
ejpam-4586	119	28	2e0	2e0	NUM
ejpam-4586	119	29	,	,	PUNCT
ejpam-4586	119	30	e1e2	e1e2	X
ejpam-4586	119	31	=	=	SYM
ejpam-4586	119	32	β0e0	β0e0	X
ejpam-4586	119	33	,	,	PUNCT
ejpam-4586	119	34	e21	e21	PROPN
ejpam-4586	119	35	=	=	SYM
ejpam-4586	119	36	γ0e0	γ0e0	X
ejpam-4586	119	37	+	+	NUM
ejpam-4586	119	38	e2	e2	PROPN
ejpam-4586	119	39	,	,	PUNCT
ejpam-4586	119	40	e22	e22	NOUN
ejpam-4586	119	41	=	=	SYM
ejpam-4586	119	42	µ0e0	µ0e0	PUNCT
ejpam-4586	119	43	+	+	NOUN
ejpam-4586	119	44	µ1e1	µ1e1	NOUN
ejpam-4586	119	45	.	.	PUNCT
ejpam-4586	120	1	the	the	DET
ejpam-4586	120	2	identity	identity	NOUN
ejpam-4586	120	3	(	(	PUNCT
ejpam-4586	120	4	x4)2	x4)2	NUM
ejpam-4586	120	5	=	=	PRON
ejpam-4586	120	6	ω(x)4x4	ω(x)4x4	NOUN
ejpam-4586	120	7	implies	imply	VERB
ejpam-4586	120	8	that	that	DET
ejpam-4586	120	9	µ1	µ1	PROPN
ejpam-4586	120	10	=	=	SYM
ejpam-4586	120	11	0	0	NUM
ejpam-4586	120	12	and	and	CCONJ
ejpam-4586	120	13	for	for	ADP
ejpam-4586	120	14	any	any	DET
ejpam-4586	120	15	x	x	NOUN
ejpam-4586	120	16	in	in	ADP
ejpam-4586	120	17	a	a	PRON
ejpam-4586	120	18	,	,	PUNCT
ejpam-4586	120	19	we	we	PRON
ejpam-4586	120	20	have	have	VERB
ejpam-4586	120	21	(	(	PUNCT
ejpam-4586	120	22	x3)2	x3)2	PROPN
ejpam-4586	120	23	=	=	PUNCT
ejpam-4586	120	24	ω(x)3x3	ω(x)3x3	NOUN
ejpam-4586	120	25	.	.	PUNCT
ejpam-4586	121	1	iii.2	iii.2	NOUN
ejpam-4586	121	2	)	)	PUNCT
ejpam-4586	121	3	γ2	γ2	NOUN
ejpam-4586	121	4	=	=	SYM
ejpam-4586	121	5	0	0	NUM
ejpam-4586	121	6	and	and	CCONJ
ejpam-4586	121	7	γ1	γ1	PROPN
ejpam-4586	121	8	̸=	̸=	PROPN
ejpam-4586	121	9	0	0	NUM
ejpam-4586	122	1	,	,	PUNCT
ejpam-4586	122	2	this	this	DET
ejpam-4586	122	3	case	case	NOUN
ejpam-4586	122	4	is	be	AUX
ejpam-4586	122	5	impossible	impossible	ADJ
ejpam-4586	122	6	.	.	PUNCT
ejpam-4586	123	1	iii.3	iii.3	NOUN
ejpam-4586	123	2	)	)	PUNCT
ejpam-4586	123	3	γ2	γ2	NOUN
ejpam-4586	123	4	=	=	SYM
ejpam-4586	123	5	γ1	γ1	PROPN
ejpam-4586	123	6	=	=	SYM
ejpam-4586	123	7	0	0	NUM
ejpam-4586	123	8	,	,	PUNCT
ejpam-4586	123	9	then	then	ADV
ejpam-4586	123	10	e2	e2	PROPN
ejpam-4586	123	11	=	=	SYM
ejpam-4586	123	12	e	e	PROPN
ejpam-4586	123	13	,	,	PUNCT
ejpam-4586	123	14	ee0	ee0	X
ejpam-4586	123	15	=	=	PUNCT
ejpam-4586	123	16	1	1	NUM
ejpam-4586	123	17	2e0	2e0	NUM
ejpam-4586	123	18	,	,	PUNCT
ejpam-4586	123	19	e1e2	e1e2	X
ejpam-4586	123	20	=	=	SYM
ejpam-4586	123	21	β0e0	β0e0	PUNCT
ejpam-4586	123	22	+	+	PUNCT
ejpam-4586	123	23	β1e1	β1e1	X
ejpam-4586	123	24	+	+	SYM
ejpam-4586	123	25	β2e2	β2e2	PROPN
ejpam-4586	123	26	,	,	PUNCT
ejpam-4586	123	27	e21	e21	PROPN
ejpam-4586	123	28	=	=	SYM
ejpam-4586	123	29	γ0e0	γ0e0	X
ejpam-4586	123	30	,	,	PUNCT
ejpam-4586	123	31	e22	e22	NOUN
ejpam-4586	123	32	=	=	SYM
ejpam-4586	123	33	µ0e0	µ0e0	PUNCT
ejpam-4586	123	34	+	+	NOUN
ejpam-4586	123	35	µ1e1	µ1e1	NOUN
ejpam-4586	123	36	+	+	CCONJ
ejpam-4586	123	37	µ2e2	µ2e2	PROPN
ejpam-4586	123	38	.	.	PROPN
ejpam-4586	123	39	iii.3.1	iii.3.1	PROPN
ejpam-4586	123	40	)	)	PUNCT
ejpam-4586	123	41	µ1	µ1	PROPN
ejpam-4586	123	42	=	=	SYM
ejpam-4586	123	43	0	0	PROPN
ejpam-4586	123	44	,	,	PUNCT
ejpam-4586	123	45	then	then	ADV
ejpam-4586	123	46	µ2	µ2	PROPN
ejpam-4586	123	47	=	=	PUNCT
ejpam-4586	123	48	0	0	PUNCT
ejpam-4586	123	49	and	and	CCONJ
ejpam-4586	123	50	β1	β1	PROPN
ejpam-4586	123	51	=	=	SYM
ejpam-4586	123	52	β2	β2	NOUN
ejpam-4586	123	53	=	=	NOUN
ejpam-4586	123	54	0	0	X
ejpam-4586	123	55	.	.	PUNCT
ejpam-4586	124	1	therefore	therefore	ADV
ejpam-4586	124	2	for	for	ADP
ejpam-4586	124	3	any	any	DET
ejpam-4586	124	4	x	x	NOUN
ejpam-4586	124	5	in	in	ADP
ejpam-4586	124	6	a	a	PRON
ejpam-4586	124	7	,	,	PUNCT
ejpam-4586	124	8	we	we	PRON
ejpam-4586	124	9	have	have	VERB
ejpam-4586	124	10	(	(	PUNCT
ejpam-4586	124	11	x2)2	x2)2	PRON
ejpam-4586	124	12	=	=	PUNCT
ejpam-4586	124	13	ω(x)2x2	ω(x)2x2	NOUN
ejpam-4586	124	14	.	.	PUNCT
ejpam-4586	125	1	iii.3.2	iii.3.2	X
ejpam-4586	125	2	)	)	PUNCT
ejpam-4586	125	3	µ1	µ1	PROPN
ejpam-4586	125	4	̸=	̸=	PROPN
ejpam-4586	125	5	0	0	NUM
ejpam-4586	125	6	,	,	PUNCT
ejpam-4586	125	7	then	then	ADV
ejpam-4586	125	8	e2	e2	PROPN
ejpam-4586	125	9	=	=	SYM
ejpam-4586	125	10	e	e	PROPN
ejpam-4586	125	11	,	,	PUNCT
ejpam-4586	125	12	ee0	ee0	X
ejpam-4586	126	1	=	=	PUNCT
ejpam-4586	126	2	1	1	NUM
ejpam-4586	126	3	2e0	2e0	NUM
ejpam-4586	126	4	,	,	PUNCT
ejpam-4586	126	5	e1e2	e1e2	X
ejpam-4586	126	6	=	=	SYM
ejpam-4586	126	7	β0e0	β0e0	PUNCT
ejpam-4586	126	8	+	+	PUNCT
ejpam-4586	126	9	β1e1	β1e1	X
ejpam-4586	127	1	+	+	SYM
ejpam-4586	127	2	β2e2	β2e2	PROPN
ejpam-4586	127	3	,	,	PUNCT
ejpam-4586	127	4	e21	e21	PROPN
ejpam-4586	127	5	=	=	SYM
ejpam-4586	127	6	γ0e0	γ0e0	X
ejpam-4586	127	7	,	,	PUNCT
ejpam-4586	127	8	e22	e22	NOUN
ejpam-4586	127	9	=	=	SYM
ejpam-4586	127	10	µ0e0	µ0e0	PUNCT
ejpam-4586	127	11	+	+	NOUN
ejpam-4586	127	12	µ1e1	µ1e1	NOUN
ejpam-4586	127	13	+	+	X
ejpam-4586	127	14	µ2e2	µ2e2	PROPN
ejpam-4586	127	15	.	.	PUNCT
ejpam-4586	128	1	if	if	SCONJ
ejpam-4586	128	2	µ2	µ2	PROPN
ejpam-4586	128	3	=	=	PROPN
ejpam-4586	128	4	0	0	PROPN
ejpam-4586	128	5	,	,	PUNCT
ejpam-4586	128	6	then	then	ADV
ejpam-4586	128	7	β1	β1	PROPN
ejpam-4586	128	8	=	=	SYM
ejpam-4586	128	9	β2	β2	NOUN
ejpam-4586	128	10	=	=	NOUN
ejpam-4586	128	11	0	0	NUM
ejpam-4586	128	12	and	and	CCONJ
ejpam-4586	128	13	for	for	ADP
ejpam-4586	128	14	any	any	DET
ejpam-4586	128	15	x	x	NOUN
ejpam-4586	128	16	in	in	ADP
ejpam-4586	128	17	a	a	PRON
ejpam-4586	128	18	,	,	PUNCT
ejpam-4586	128	19	we	we	PRON
ejpam-4586	128	20	have	have	VERB
ejpam-4586	128	21	(	(	PUNCT
ejpam-4586	128	22	x2)2	x2)2	DET
ejpam-4586	128	23	=	=	PUNCT
ejpam-4586	128	24	ω(x)2x2	ω(x)2x2	NOUN
ejpam-4586	128	25	.	.	PUNCT
ejpam-4586	129	1	if	if	SCONJ
ejpam-4586	129	2	µ2	µ2	PROPN
ejpam-4586	129	3	̸=	̸=	PROPN
ejpam-4586	129	4	0	0	NUM
ejpam-4586	129	5	,	,	PUNCT
ejpam-4586	129	6	then	then	ADV
ejpam-4586	129	7	µ1β2	µ1β2	PROPN
ejpam-4586	129	8	=	=	SYM
ejpam-4586	129	9	µ2β1	µ2β1	PROPN
ejpam-4586	129	10	.	.	PUNCT
ejpam-4586	130	1	for	for	ADP
ejpam-4586	130	2	x	x	X
ejpam-4586	130	3	=	=	SYM
ejpam-4586	130	4	e0	e0	PROPN
ejpam-4586	130	5	,	,	PUNCT
ejpam-4586	130	6	the	the	DET
ejpam-4586	130	7	identity	identity	NOUN
ejpam-4586	130	8	(	(	PUNCT
ejpam-4586	130	9	x4)2	x4)2	NUM
ejpam-4586	130	10	=	=	SYM
ejpam-4586	130	11	0	0	NUM
ejpam-4586	130	12	implies	imply	VERB
ejpam-4586	130	13	that	that	SCONJ
ejpam-4586	130	14	β1	β1	PROPN
ejpam-4586	130	15	=	=	PUNCT
ejpam-4586	130	16	−µ2	−µ2	PROPN
ejpam-4586	130	17	or	or	CCONJ
ejpam-4586	130	18	β1	β1	PROPN
ejpam-4586	130	19	=	=	PUNCT
ejpam-4586	130	20	−µ2	−µ2	PROPN
ejpam-4586	130	21	2	2	NUM
ejpam-4586	130	22	.	.	PUNCT
ejpam-4586	131	1	we	we	PRON
ejpam-4586	131	2	show	show	VERB
ejpam-4586	131	3	that	that	SCONJ
ejpam-4586	131	4	this	this	PRON
ejpam-4586	131	5	is	be	AUX
ejpam-4586	131	6	impossible	impossible	ADJ
ejpam-4586	131	7	.	.	PUNCT
ejpam-4586	132	1	iii.4	iii.4	PROPN
ejpam-4586	132	2	)	)	PUNCT
ejpam-4586	132	3	γ2γ1	γ2γ1	VERB
ejpam-4586	132	4	̸=	̸=	PROPN
ejpam-4586	132	5	0	0	NUM
ejpam-4586	132	6	,	,	PUNCT
ejpam-4586	132	7	then	then	ADV
ejpam-4586	132	8	e2	e2	PROPN
ejpam-4586	132	9	=	=	SYM
ejpam-4586	132	10	e	e	PROPN
ejpam-4586	132	11	,	,	PUNCT
ejpam-4586	132	12	ee0	ee0	X
ejpam-4586	132	13	=	=	PUNCT
ejpam-4586	132	14	1	1	NUM
ejpam-4586	132	15	2e0	2e0	NUM
ejpam-4586	132	16	,	,	PUNCT
ejpam-4586	132	17	e1e2	e1e2	X
ejpam-4586	132	18	=	=	SYM
ejpam-4586	132	19	β0e0+β1e1+β2e2	β0e0+β1e1+β2e2	PROPN
ejpam-4586	132	20	,	,	PUNCT
ejpam-4586	132	21	e21	e21	PROPN
ejpam-4586	132	22	=	=	SYM
ejpam-4586	132	23	γ0e0+γ1e1+γ2e2	γ0e0+γ1e1+γ2e2	PROPN
ejpam-4586	132	24	,	,	PUNCT
ejpam-4586	132	25	e22	e22	NOUN
ejpam-4586	132	26	=	=	PUNCT
ejpam-4586	132	27	µ0e0	µ0e0	PUNCT
ejpam-4586	132	28	+	+	NOUN
ejpam-4586	132	29	µ1e1	µ1e1	NOUN
ejpam-4586	132	30	+	+	CCONJ
ejpam-4586	132	31	µ2e2	µ2e2	PROPN
ejpam-4586	132	32	.	.	PROPN
ejpam-4586	132	33	iii.4.1	iii.4.1	PROPN
ejpam-4586	132	34	)	)	PUNCT
ejpam-4586	132	35	µ2	µ2	NOUN
ejpam-4586	132	36	=	=	NOUN
ejpam-4586	132	37	0	0	PROPN
ejpam-4586	132	38	.	.	PUNCT
ejpam-4586	133	1	then	then	ADV
ejpam-4586	133	2	µ1	µ1	VERB
ejpam-4586	133	3	=	=	SYM
ejpam-4586	133	4	0	0	NUM
ejpam-4586	134	1	and	and	CCONJ
ejpam-4586	134	2	β1β2	β1β2	ADP
ejpam-4586	134	3	̸=	̸=	PROPN
ejpam-4586	134	4	0	0	NUM
ejpam-4586	134	5	.	.	PUNCT
ejpam-4586	135	1	without	without	ADP
ejpam-4586	135	2	loss	loss	NOUN
ejpam-4586	135	3	of	of	ADP
ejpam-4586	135	4	generality	generality	NOUN
ejpam-4586	135	5	.	.	PUNCT
ejpam-4586	136	1	it	it	PRON
ejpam-4586	136	2	suffices	suffice	VERB
ejpam-4586	136	3	to	to	PART
ejpam-4586	136	4	make	make	VERB
ejpam-4586	136	5	some	some	DET
ejpam-4586	136	6	basis	basis	NOUN
ejpam-4586	136	7	transformations	transformation	NOUN
ejpam-4586	136	8	to	to	PART
ejpam-4586	136	9	prove	prove	VERB
ejpam-4586	136	10	that	that	SCONJ
ejpam-4586	136	11	we	we	PRON
ejpam-4586	136	12	can	can	AUX
ejpam-4586	136	13	set	set	VERB
ejpam-4586	136	14	γ2	γ2	NOUN
ejpam-4586	136	15	=	=	SYM
ejpam-4586	136	16	1	1	NUM
ejpam-4586	136	17	and	and	CCONJ
ejpam-4586	136	18	therefore	therefore	ADV
ejpam-4586	136	19	β1	β1	PROPN
ejpam-4586	136	20	=	=	SYM
ejpam-4586	137	1	γ1β2	γ1β2	PROPN
ejpam-4586	137	2	.	.	PUNCT
ejpam-4586	138	1	we	we	PRON
ejpam-4586	138	2	show	show	VERB
ejpam-4586	138	3	this	this	PRON
ejpam-4586	138	4	is	be	AUX
ejpam-4586	138	5	impossible	impossible	ADJ
ejpam-4586	138	6	.	.	PUNCT
ejpam-4586	139	1	iii.4.2	iii.4.2	NOUN
ejpam-4586	139	2	)	)	PUNCT
ejpam-4586	139	3	µ2	µ2	PROPN
ejpam-4586	139	4	̸=	̸=	PROPN
ejpam-4586	139	5	0	0	NUM
ejpam-4586	139	6	.	.	PUNCT
ejpam-4586	140	1	then	then	ADV
ejpam-4586	140	2	µ1	µ1	VERB
ejpam-4586	140	3	̸=	̸=	PROPN
ejpam-4586	140	4	0	0	NUM
ejpam-4586	141	1	and	and	CCONJ
ejpam-4586	141	2	β1β2	β1β2	ADP
ejpam-4586	141	3	̸=	̸=	PROPN
ejpam-4586	141	4	0	0	NUM
ejpam-4586	141	5	,	,	PUNCT
ejpam-4586	141	6	so	so	ADV
ejpam-4586	141	7	µ1β2	µ1β2	PROPN
ejpam-4586	141	8	=	=	SYM
ejpam-4586	141	9	µ2β1	µ2β1	PROPN
ejpam-4586	141	10	.	.	PUNCT
ejpam-4586	142	1	we	we	PRON
ejpam-4586	142	2	show	show	VERB
ejpam-4586	142	3	that	that	SCONJ
ejpam-4586	142	4	β1	β1	PROPN
ejpam-4586	142	5	=	=	PUNCT
ejpam-4586	142	6	−µ2	−µ2	PROPN
ejpam-4586	142	7	w.	w.	PROPN
ejpam-4586	142	8	a.	a.	PROPN
ejpam-4586	142	9	zangre	zangre	PROPN
ejpam-4586	142	10	,	,	PUNCT
ejpam-4586	142	11	a.	a.	NOUN
ejpam-4586	142	12	conseibo	conseibo	PROPN
ejpam-4586	142	13	/	/	SYM
ejpam-4586	142	14	eur	eur	PROPN
ejpam-4586	142	15	.	.	PUNCT
ejpam-4586	143	1	j.	j.	PROPN
ejpam-4586	143	2	pure	pure	PROPN
ejpam-4586	143	3	appl	appl	PROPN
ejpam-4586	143	4	.	.	PROPN
ejpam-4586	143	5	math	math	PROPN
ejpam-4586	143	6	,	,	PUNCT
ejpam-4586	143	7	15	15	NUM
ejpam-4586	143	8	(	(	PUNCT
ejpam-4586	143	9	4	4	NUM
ejpam-4586	143	10	)	)	PUNCT
ejpam-4586	143	11	(	(	PUNCT
ejpam-4586	143	12	2022	2022	NUM
ejpam-4586	143	13	)	)	PUNCT
ejpam-4586	143	14	,	,	PUNCT
ejpam-4586	143	15	1887	1887	NUM
ejpam-4586	143	16	-	-	SYM
ejpam-4586	143	17	1907	1907	NUM
ejpam-4586	143	18	1892	1892	NUM
ejpam-4586	143	19	or	or	CCONJ
ejpam-4586	144	1	β1	β1	PROPN
ejpam-4586	144	2	=	=	PUNCT
ejpam-4586	144	3	−µ2	−µ2	PROPN
ejpam-4586	144	4	2	2	NUM
ejpam-4586	144	5	this	this	PRON
ejpam-4586	144	6	is	be	AUX
ejpam-4586	144	7	impossible	impossible	ADJ
ejpam-4586	144	8	.	.	PUNCT
ejpam-4586	145	1	we	we	PRON
ejpam-4586	145	2	conclude	conclude	VERB
ejpam-4586	145	3	that	that	SCONJ
ejpam-4586	145	4	the	the	DET
ejpam-4586	145	5	type	type	NOUN
ejpam-4586	145	6	of	of	ADP
ejpam-4586	145	7	a	a	PRON
ejpam-4586	145	8	can	can	AUX
ejpam-4586	145	9	not	not	PART
ejpam-4586	145	10	be	be	AUX
ejpam-4586	145	11	(	(	PUNCT
ejpam-4586	145	12	2	2	NUM
ejpam-4586	145	13	,	,	PUNCT
ejpam-4586	145	14	2	2	NUM
ejpam-4586	145	15	,	,	PUNCT
ejpam-4586	145	16	0	0	NUM
ejpam-4586	145	17	,	,	PUNCT
ejpam-4586	145	18	0	0	NUM
ejpam-4586	145	19	)	)	PUNCT
ejpam-4586	145	20	.	.	PUNCT
ejpam-4586	146	1	the	the	DET
ejpam-4586	146	2	above	above	ADJ
ejpam-4586	146	3	result	result	NOUN
ejpam-4586	146	4	allows	allow	VERB
ejpam-4586	146	5	us	we	PRON
ejpam-4586	146	6	to	to	PART
ejpam-4586	146	7	discard	discard	VERB
ejpam-4586	146	8	the	the	DET
ejpam-4586	146	9	type	type	NOUN
ejpam-4586	146	10	(	(	PUNCT
ejpam-4586	146	11	2	2	NUM
ejpam-4586	146	12	,	,	PUNCT
ejpam-4586	146	13	2	2	NUM
ejpam-4586	146	14	,	,	PUNCT
ejpam-4586	146	15	0	0	NUM
ejpam-4586	146	16	,	,	PUNCT
ejpam-4586	146	17	0	0	NUM
ejpam-4586	146	18	)	)	PUNCT
ejpam-4586	146	19	in	in	ADP
ejpam-4586	146	20	the	the	DET
ejpam-4586	146	21	classification	classification	NOUN
ejpam-4586	146	22	.	.	PUNCT
ejpam-4586	147	1	3	3	X
ejpam-4586	147	2	.	.	X
ejpam-4586	147	3	classification	classification	NOUN
ejpam-4586	147	4	of	of	ADP
ejpam-4586	147	5	algebras	algebra	NOUN
ejpam-4586	147	6	of	of	ADP
ejpam-4586	147	7	type	type	NOUN
ejpam-4586	147	8	(	(	PUNCT
ejpam-4586	147	9	2	2	NUM
ejpam-4586	147	10	,	,	PUNCT
ejpam-4586	147	11	1	1	NUM
ejpam-4586	147	12	,	,	PUNCT
ejpam-4586	147	13	1	1	NUM
ejpam-4586	147	14	,	,	PUNCT
ejpam-4586	147	15	0	0	NUM
ejpam-4586	147	16	)	)	PUNCT
ejpam-4586	147	17	in	in	ADP
ejpam-4586	147	18	this	this	DET
ejpam-4586	147	19	section	section	NOUN
ejpam-4586	147	20	we	we	PRON
ejpam-4586	147	21	will	will	AUX
ejpam-4586	147	22	set	set	VERB
ejpam-4586	147	23	x	x	X
ejpam-4586	147	24	=	=	PUNCT
ejpam-4586	147	25	e	e	NOUN
ejpam-4586	147	26	+	+	NOUN
ejpam-4586	147	27	αe0	αe0	NOUN
ejpam-4586	147	28	+	+	CCONJ
ejpam-4586	147	29	βe1	βe1	NOUN
ejpam-4586	147	30	+	+	CCONJ
ejpam-4586	147	31	θe2	θe2	X
ejpam-4586	147	32	an	an	DET
ejpam-4586	147	33	element	element	NOUN
ejpam-4586	147	34	of	of	ADP
ejpam-4586	147	35	weight	weight	NOUN
ejpam-4586	147	36	1	1	NUM
ejpam-4586	147	37	in	in	ADP
ejpam-4586	147	38	a.	a.	NOUN
ejpam-4586	147	39	also	also	ADV
ejpam-4586	147	40	we	we	PRON
ejpam-4586	147	41	will	will	AUX
ejpam-4586	147	42	use	use	VERB
ejpam-4586	147	43	essentially	essentially	ADV
ejpam-4586	147	44	the	the	DET
ejpam-4586	147	45	assertion	assertion	NOUN
ejpam-4586	147	46	of	of	ADP
ejpam-4586	147	47	the	the	DET
ejpam-4586	147	48	lemma	lemma	PROPN
ejpam-4586	147	49	1	1	NUM
ejpam-4586	147	50	.	.	PUNCT
ejpam-4586	148	1	if	if	SCONJ
ejpam-4586	148	2	type	type	VERB
ejpam-4586	148	3	a	a	PRON
ejpam-4586	148	4	=	=	X
ejpam-4586	148	5	(	(	PUNCT
ejpam-4586	148	6	2	2	NUM
ejpam-4586	148	7	,	,	PUNCT
ejpam-4586	148	8	1	1	NUM
ejpam-4586	148	9	,	,	PUNCT
ejpam-4586	148	10	1	1	NUM
ejpam-4586	148	11	,	,	PUNCT
ejpam-4586	148	12	0	0	NUM
ejpam-4586	148	13	)	)	PUNCT
ejpam-4586	148	14	then	then	ADV
ejpam-4586	148	15	aλ	aλ	ADP
ejpam-4586	148	16	=	=	SYM
ejpam-4586	148	17	0	0	NUM
ejpam-4586	148	18	and	and	CCONJ
ejpam-4586	148	19	a2	a2	PROPN
ejpam-4586	148	20	1/2	1/2	NUM
ejpam-4586	148	21	⊂	⊂	PROPN
ejpam-4586	148	22	a0	a0	PROPN
ejpam-4586	148	23	⊕aλ	⊕aλ	PROPN
ejpam-4586	148	24	,	,	PUNCT
ejpam-4586	148	25	a2	a2	PROPN
ejpam-4586	148	26	0	0	PROPN
ejpam-4586	149	1	⊂	⊂	PROPN
ejpam-4586	149	2	a1/2	a1/2	PROPN
ejpam-4586	149	3	⊕a0	⊕a0	PROPN
ejpam-4586	149	4	,	,	PUNCT
ejpam-4586	149	5	a2	a2	PROPN
ejpam-4586	149	6	λ	λ	PROPN
ejpam-4586	149	7	⊂	⊂	PROPN
ejpam-4586	149	8	a1/2	a1/2	PROPN
ejpam-4586	149	9	,	,	PUNCT
ejpam-4586	149	10	a1/2a0	a1/2a0	PROPN
ejpam-4586	149	11	⊂	⊂	PROPN
ejpam-4586	149	12	a1/2	a1/2	PROPN
ejpam-4586	149	13	⊕	⊕	PROPN
ejpam-4586	149	14	aλ	aλ	PROPN
ejpam-4586	149	15	,	,	PUNCT
ejpam-4586	149	16	a1/2aλ	a1/2aλ	PROPN
ejpam-4586	149	17	⊂	⊂	PROPN
ejpam-4586	149	18	a1/2	a1/2	PROPN
ejpam-4586	149	19	⊕	⊕	PROPN
ejpam-4586	149	20	a0	a0	PROPN
ejpam-4586	149	21	,	,	PUNCT
ejpam-4586	149	22	a0aλ	a0aλ	PUNCT
ejpam-4586	149	23	⊂	⊂	PROPN
ejpam-4586	149	24	a1/2	a1/2	PROPN
ejpam-4586	149	25	;	;	PUNCT
ejpam-4586	149	26	we	we	PRON
ejpam-4586	149	27	can	can	AUX
ejpam-4586	149	28	thus	thus	ADV
ejpam-4586	149	29	set	set	VERB
ejpam-4586	149	30	a1/2	a1/2	NOUN
ejpam-4586	150	1	=	=	NOUN
ejpam-4586	150	2	<	<	X
ejpam-4586	150	3	e0	e0	PROPN
ejpam-4586	150	4	>	>	X
ejpam-4586	150	5	,	,	PUNCT
ejpam-4586	150	6	a0	a0	PROPN
ejpam-4586	150	7	=	=	PROPN
ejpam-4586	150	8	<	<	X
ejpam-4586	150	9	e1	e1	PROPN
ejpam-4586	150	10	>	>	PUNCT
ejpam-4586	150	11	,	,	PUNCT
ejpam-4586	150	12	aλ	aλ	ADP
ejpam-4586	150	13	=	=	X
ejpam-4586	150	14	<	<	X
ejpam-4586	150	15	e2	e2	PROPN
ejpam-4586	150	16	>	>	PUNCT
ejpam-4586	150	17	.	.	PUNCT
ejpam-4586	151	1	the	the	DET
ejpam-4586	151	2	multiplication	multiplication	NOUN
ejpam-4586	151	3	table	table	NOUN
ejpam-4586	151	4	of	of	ADP
ejpam-4586	151	5	a	a	PRON
ejpam-4586	151	6	is	be	AUX
ejpam-4586	151	7	given	give	VERB
ejpam-4586	151	8	by	by	ADP
ejpam-4586	151	9	:	:	PUNCT
ejpam-4586	151	10	e2	e2	PROPN
ejpam-4586	151	11	=	=	SYM
ejpam-4586	151	12	e	e	PROPN
ejpam-4586	151	13	,	,	PUNCT
ejpam-4586	151	14	ee0	ee0	X
ejpam-4586	151	15	=	=	PUNCT
ejpam-4586	151	16	1	1	NUM
ejpam-4586	151	17	2e0	2e0	NUM
ejpam-4586	151	18	,	,	PUNCT
ejpam-4586	151	19	ee1	ee1	X
ejpam-4586	152	1	=	=	SYM
ejpam-4586	152	2	0	0	PROPN
ejpam-4586	152	3	,	,	PUNCT
ejpam-4586	152	4	ee2	ee2	NOUN
ejpam-4586	153	1	=	=	SYM
ejpam-4586	153	2	λe2	λe2	PROPN
ejpam-4586	153	3	,	,	PUNCT
ejpam-4586	153	4	e20	e20	NOUN
ejpam-4586	153	5	=	=	SYM
ejpam-4586	153	6	α0e1	α0e1	PROPN
ejpam-4586	153	7	+	+	NUM
ejpam-4586	153	8	α1e2	α1e2	PROPN
ejpam-4586	153	9	,	,	PUNCT
ejpam-4586	153	10	e21	e21	NUM
ejpam-4586	153	11	=	=	SYM
ejpam-4586	153	12	β0e0	β0e0	PUNCT
ejpam-4586	153	13	+	+	SYM
ejpam-4586	153	14	β1e1	β1e1	NOUN
ejpam-4586	153	15	,	,	PUNCT
ejpam-4586	153	16	e22	e22	PROPN
ejpam-4586	153	17	=	=	SYM
ejpam-4586	153	18	γe0	γe0	PROPN
ejpam-4586	153	19	,	,	PUNCT
ejpam-4586	153	20	e0e1	e0e1	NOUN
ejpam-4586	153	21	=	=	PUNCT
ejpam-4586	153	22	µ0e0	µ0e0	PUNCT
ejpam-4586	153	23	+	+	ADJ
ejpam-4586	153	24	µ1e2	µ1e2	SYM
ejpam-4586	153	25	,	,	PUNCT
ejpam-4586	153	26	e0e2	e0e2	NOUN
ejpam-4586	153	27	=	=	SYM
ejpam-4586	153	28	γ0e0	γ0e0	X
ejpam-4586	153	29	+	+	X
ejpam-4586	153	30	γ1e1	γ1e1	NOUN
ejpam-4586	153	31	,	,	PUNCT
ejpam-4586	153	32	e1e2	e1e2	X
ejpam-4586	153	33	=	=	SYM
ejpam-4586	153	34	µe0	µe0	ADJ
ejpam-4586	153	35	.	.	PUNCT
ejpam-4586	154	1	the	the	DET
ejpam-4586	154	2	assertion	assertion	NOUN
ejpam-4586	154	3	(	(	PUNCT
ejpam-4586	154	4	i	i	NOUN
ejpam-4586	154	5	)	)	PUNCT
ejpam-4586	154	6	of	of	ADP
ejpam-4586	154	7	the	the	DET
ejpam-4586	154	8	lemma	lemma	PROPN
ejpam-4586	154	9	1	1	NUM
ejpam-4586	154	10	allows	allow	VERB
ejpam-4586	154	11	to	to	PART
ejpam-4586	154	12	obtain	obtain	VERB
ejpam-4586	154	13	the	the	DET
ejpam-4586	154	14	equality	equality	NOUN
ejpam-4586	154	15	:	:	PUNCT
ejpam-4586	154	16	2(α0µ0	2(α0µ0	NUM
ejpam-4586	154	17	−	−	PROPN
ejpam-4586	155	1	λ2α1γ0)e0	λ2α1γ0)e0	NOUN
ejpam-4586	155	2	=	=	SYM
ejpam-4586	155	3	0	0	PROPN
ejpam-4586	156	1	so	so	CCONJ
ejpam-4586	156	2	:	:	PUNCT
ejpam-4586	156	3	α0µ0	α0µ0	X
ejpam-4586	156	4	=	=	SYM
ejpam-4586	156	5	λ2α1γ0	λ2α1γ0	PROPN
ejpam-4586	156	6	(	(	PUNCT
ejpam-4586	156	7	2	2	NUM
ejpam-4586	156	8	)	)	PUNCT
ejpam-4586	156	9	as	as	ADP
ejpam-4586	156	10	for	for	ADP
ejpam-4586	156	11	(	(	PUNCT
ejpam-4586	156	12	ii	ii	NOUN
ejpam-4586	156	13	)	)	PUNCT
ejpam-4586	156	14	,	,	PUNCT
ejpam-4586	156	15	it	it	PRON
ejpam-4586	156	16	leads	lead	VERB
ejpam-4586	156	17	to	to	ADP
ejpam-4586	156	18	:	:	PUNCT
ejpam-4586	157	1	[	[	X
ejpam-4586	157	2	2(1	2(1	NUM
ejpam-4586	157	3	+	+	CCONJ
ejpam-4586	157	4	λ)(α1γ1µ0	λ)(α1γ1µ0	PROPN
ejpam-4586	157	5	+	+	CCONJ
ejpam-4586	157	6	α0γ0µ1	α0γ0µ1	ADJ
ejpam-4586	157	7	)	)	PUNCT
ejpam-4586	157	8	+	+	CCONJ
ejpam-4586	157	9	α2	α2	ADJ
ejpam-4586	157	10	0β0	0β0	X
ejpam-4586	158	1	+	+	CCONJ
ejpam-4586	158	2	α0α1µ(1	α0α1µ(1	PROPN
ejpam-4586	158	3	+	+	NUM
ejpam-4586	158	4	λ	λ	NOUN
ejpam-4586	158	5	)	)	PUNCT
ejpam-4586	159	1	+	+	CCONJ
ejpam-4586	159	2	1	1	NUM
ejpam-4586	159	3	8(1	8(1	NOUN
ejpam-4586	159	4	+	+	CCONJ
ejpam-4586	159	5	3λ)α2	3λ)α2	NUM
ejpam-4586	159	6	1γ]e0	1γ]e0	NUM
ejpam-4586	159	7	+	+	CCONJ
ejpam-4586	160	1	[	[	X
ejpam-4586	160	2	α2	α2	ADJ
ejpam-4586	160	3	0β1	0β1	NUM
ejpam-4586	161	1	+	+	CCONJ
ejpam-4586	161	2	(	(	PUNCT
ejpam-4586	161	3	1	1	NUM
ejpam-4586	161	4	+	+	NUM
ejpam-4586	161	5	2λ)α0µ1γ1	2λ)α0µ1γ1	NUM
ejpam-4586	161	6	−	−	NOUN
ejpam-4586	161	7	2α2	2α2	NUM
ejpam-4586	161	8	0µ0]e1	0µ0]e1	NOUN
ejpam-4586	161	9	+	+	CCONJ
ejpam-4586	162	1	[	[	X
ejpam-4586	162	2	(	(	PUNCT
ejpam-4586	162	3	2	2	NUM
ejpam-4586	162	4	+	+	NUM
ejpam-4586	162	5	4λ)α2	4λ)α2	NUM
ejpam-4586	162	6	1γ	1γ	NOUN
ejpam-4586	162	7	+	+	CCONJ
ejpam-4586	162	8	(	(	PUNCT
ejpam-4586	162	9	1	1	NUM
ejpam-4586	162	10	+	+	NUM
ejpam-4586	162	11	4λ)α1γ1µ1	4λ)α1γ1µ1	NUM
ejpam-4586	162	12	−	−	NOUN
ejpam-4586	162	13	(	(	PUNCT
ejpam-4586	162	14	1	1	NUM
ejpam-4586	162	15	+	+	X
ejpam-4586	162	16	λ)2α2	λ)2α2	PROPN
ejpam-4586	162	17	1γ0]e2	1γ0]e2	PROPN
ejpam-4586	162	18	=	=	SYM
ejpam-4586	162	19	0	0	PUNCT
ejpam-4586	162	20	then	then	ADV
ejpam-4586	162	21	:	:	PUNCT
ejpam-4586	162	22	2(1	2(1	NUM
ejpam-4586	163	1	+	+	CCONJ
ejpam-4586	163	2	λ)(α1γ1µ0	λ)(α1γ1µ0	PROPN
ejpam-4586	163	3	+	+	CCONJ
ejpam-4586	163	4	α0γ0µ1	α0γ0µ1	ADJ
ejpam-4586	163	5	)	)	PUNCT
ejpam-4586	163	6	+	+	CCONJ
ejpam-4586	163	7	α2	α2	ADJ
ejpam-4586	163	8	0β0	0β0	X
ejpam-4586	164	1	+	+	CCONJ
ejpam-4586	164	2	α0α1µ(1	α0α1µ(1	PROPN
ejpam-4586	164	3	+	+	NUM
ejpam-4586	164	4	λ	λ	NOUN
ejpam-4586	164	5	)	)	PUNCT
ejpam-4586	165	1	+	+	CCONJ
ejpam-4586	165	2	1	1	NUM
ejpam-4586	165	3	8	8	NUM
ejpam-4586	165	4	(	(	PUNCT
ejpam-4586	165	5	1	1	NUM
ejpam-4586	165	6	+	+	NUM
ejpam-4586	165	7	3λ)α2	3λ)α2	NUM
ejpam-4586	165	8	1γ	1γ	NUM
ejpam-4586	165	9	=	=	SYM
ejpam-4586	165	10	0	0	X
ejpam-4586	165	11	.	.	PUNCT
ejpam-4586	166	1	(	(	PUNCT
ejpam-4586	166	2	3	3	X
ejpam-4586	166	3	)	)	PUNCT
ejpam-4586	166	4	α2	α2	NOUN
ejpam-4586	166	5	0β1	0β1	NUM
ejpam-4586	167	1	+	+	CCONJ
ejpam-4586	167	2	(	(	PUNCT
ejpam-4586	167	3	1	1	NUM
ejpam-4586	167	4	+	+	NUM
ejpam-4586	167	5	2λ)α0µ1γ1	2λ)α0µ1γ1	NUM
ejpam-4586	167	6	−	−	NOUN
ejpam-4586	167	7	2α2	2α2	NUM
ejpam-4586	167	8	0µ0	0µ0	NUM
ejpam-4586	168	1	=	=	NOUN
ejpam-4586	168	2	0	0	X
ejpam-4586	168	3	.	.	PUNCT
ejpam-4586	169	1	(	(	PUNCT
ejpam-4586	169	2	4	4	NUM
ejpam-4586	169	3	)	)	PUNCT
ejpam-4586	169	4	(	(	PUNCT
ejpam-4586	169	5	2	2	NUM
ejpam-4586	169	6	+	+	NUM
ejpam-4586	169	7	4λ)α2	4λ)α2	NUM
ejpam-4586	169	8	1γ	1γ	NOUN
ejpam-4586	169	9	+	+	CCONJ
ejpam-4586	169	10	(	(	PUNCT
ejpam-4586	169	11	1	1	NUM
ejpam-4586	169	12	+	+	NUM
ejpam-4586	169	13	4λ)α1γ1µ1	4λ)α1γ1µ1	NUM
ejpam-4586	169	14	−	−	NOUN
ejpam-4586	169	15	(	(	PUNCT
ejpam-4586	169	16	1	1	NUM
ejpam-4586	169	17	+	+	NUM
ejpam-4586	169	18	λ)2α2	λ)2α2	PROPN
ejpam-4586	169	19	1γ0	1γ0	NUM
ejpam-4586	169	20	=	=	SYM
ejpam-4586	169	21	0	0	PROPN
ejpam-4586	169	22	.	.	PUNCT
ejpam-4586	170	1	(	(	PUNCT
ejpam-4586	170	2	5	5	X
ejpam-4586	170	3	)	)	PUNCT
ejpam-4586	170	4	the	the	DET
ejpam-4586	170	5	assertion	assertion	NOUN
ejpam-4586	170	6	(	(	PUNCT
ejpam-4586	170	7	iii	iii	NOUN
ejpam-4586	170	8	)	)	PUNCT
ejpam-4586	170	9	of	of	ADP
ejpam-4586	170	10	the	the	DET
ejpam-4586	170	11	lemma	lemma	PROPN
ejpam-4586	170	12	1	1	NUM
ejpam-4586	170	13	leads	lead	VERB
ejpam-4586	170	14	to	to	ADP
ejpam-4586	170	15	the	the	DET
ejpam-4586	170	16	equality	equality	NOUN
ejpam-4586	170	17	:	:	PUNCT
ejpam-4586	170	18	−1	−1	NOUN
ejpam-4586	170	19	2(3	2(3	NUM
ejpam-4586	170	20	+	+	PUNCT
ejpam-4586	170	21	λ)β0µ1e2	λ)β0µ1e2	PROPN
ejpam-4586	170	22	=	=	SYM
ejpam-4586	170	23	0	0	NUM
ejpam-4586	170	24	or	or	CCONJ
ejpam-4586	170	25	:	:	PUNCT
ejpam-4586	170	26	β0µ1	β0µ1	PROPN
ejpam-4586	170	27	=	=	NOUN
ejpam-4586	170	28	0	0	PROPN
ejpam-4586	170	29	.	.	PUNCT
ejpam-4586	171	1	(	(	PUNCT
ejpam-4586	171	2	6	6	NUM
ejpam-4586	171	3	)	)	PUNCT
ejpam-4586	171	4	the	the	DET
ejpam-4586	171	5	assertion	assertion	NOUN
ejpam-4586	171	6	(	(	PUNCT
ejpam-4586	171	7	iv	iv	X
ejpam-4586	171	8	)	)	PUNCT
ejpam-4586	171	9	of	of	ADP
ejpam-4586	171	10	the	the	DET
ejpam-4586	171	11	lemma	lemma	PROPN
ejpam-4586	171	12	1	1	NUM
ejpam-4586	171	13	allows	allow	VERB
ejpam-4586	171	14	to	to	PART
ejpam-4586	171	15	obtain	obtain	VERB
ejpam-4586	171	16	:	:	PUNCT
ejpam-4586	171	17	(	(	PUNCT
ejpam-4586	171	18	1	1	NUM
ejpam-4586	171	19	16α0β	16α0β	NUM
ejpam-4586	171	20	2	2	NUM
ejpam-4586	171	21	0	0	NUM
ejpam-4586	171	22	−	−	NOUN
ejpam-4586	171	23	β3	β3	VERB
ejpam-4586	171	24	1)e1	1)e1	PRON
ejpam-4586	172	1	+	+	CCONJ
ejpam-4586	172	2	1	1	NUM
ejpam-4586	172	3	16α1β	16α1β	NUM
ejpam-4586	172	4	2	2	NUM
ejpam-4586	172	5	0e2	0e2	NOUN
ejpam-4586	173	1	=	=	NOUN
ejpam-4586	173	2	0	0	NUM
ejpam-4586	173	3	which	which	PRON
ejpam-4586	173	4	gives	give	VERB
ejpam-4586	173	5	us	we	PRON
ejpam-4586	173	6	:	:	PUNCT
ejpam-4586	173	7	α0β	α0β	NUM
ejpam-4586	173	8	2	2	NUM
ejpam-4586	173	9	0	0	NUM
ejpam-4586	173	10	=	=	SYM
ejpam-4586	173	11	16β3	16β3	NUM
ejpam-4586	173	12	1	1	NUM
ejpam-4586	173	13	.	.	PUNCT
ejpam-4586	174	1	(	(	PUNCT
ejpam-4586	174	2	7	7	X
ejpam-4586	174	3	)	)	PUNCT
ejpam-4586	174	4	α1β0	α1β0	NOUN
ejpam-4586	174	5	=	=	SYM
ejpam-4586	174	6	0	0	NUM
ejpam-4586	174	7	.	.	PUNCT
ejpam-4586	175	1	(	(	PUNCT
ejpam-4586	175	2	8)	8)	NUM
ejpam-4586	175	3	using	use	VERB
ejpam-4586	175	4	the	the	DET
ejpam-4586	175	5	assertion	assertion	NOUN
ejpam-4586	175	6	(	(	PUNCT
ejpam-4586	175	7	v	v	NOUN
ejpam-4586	175	8	)	)	PUNCT
ejpam-4586	175	9	of	of	ADP
ejpam-4586	175	10	the	the	DET
ejpam-4586	175	11	lemma	lemma	PROPN
ejpam-4586	175	12	1	1	NUM
ejpam-4586	175	13	we	we	PRON
ejpam-4586	175	14	have	have	VERB
ejpam-4586	175	15	:	:	PUNCT
ejpam-4586	175	16	w.	w.	PROPN
ejpam-4586	175	17	a.	a.	PROPN
ejpam-4586	175	18	zangre	zangre	PROPN
ejpam-4586	175	19	,	,	PUNCT
ejpam-4586	175	20	a.	a.	NOUN
ejpam-4586	175	21	conseibo	conseibo	PROPN
ejpam-4586	175	22	/	/	SYM
ejpam-4586	175	23	eur	eur	PROPN
ejpam-4586	175	24	.	.	PUNCT
ejpam-4586	176	1	j.	j.	PROPN
ejpam-4586	176	2	pure	pure	PROPN
ejpam-4586	176	3	appl	appl	PROPN
ejpam-4586	176	4	.	.	PROPN
ejpam-4586	176	5	math	math	PROPN
ejpam-4586	176	6	,	,	PUNCT
ejpam-4586	176	7	15	15	NUM
ejpam-4586	176	8	(	(	PUNCT
ejpam-4586	176	9	4	4	NUM
ejpam-4586	176	10	)	)	PUNCT
ejpam-4586	176	11	(	(	PUNCT
ejpam-4586	176	12	2022	2022	NUM
ejpam-4586	176	13	)	)	PUNCT
ejpam-4586	176	14	,	,	PUNCT
ejpam-4586	176	15	1887	1887	NUM
ejpam-4586	176	16	-	-	SYM
ejpam-4586	176	17	1907	1907	NUM
ejpam-4586	176	18	1893	1893	NUM
ejpam-4586	176	19	(	(	PUNCT
ejpam-4586	176	20	2λ+	2λ+	NUM
ejpam-4586	176	21	1	1	NUM
ejpam-4586	176	22	2)γγ1e1	2)γγ1e1	NUM
ejpam-4586	176	23	=	=	SYM
ejpam-4586	176	24	0	0	PUNCT
ejpam-4586	177	1	thus	thus	ADV
ejpam-4586	177	2	:	:	PUNCT
ejpam-4586	177	3	γγ1	γγ1	X
ejpam-4586	177	4	=	=	SYM
ejpam-4586	177	5	0	0	X
ejpam-4586	177	6	.	.	PUNCT
ejpam-4586	178	1	(	(	PUNCT
ejpam-4586	178	2	9	9	X
ejpam-4586	178	3	)	)	PUNCT
ejpam-4586	178	4	the	the	DET
ejpam-4586	178	5	assertion	assertion	NOUN
ejpam-4586	178	6	(	(	PUNCT
ejpam-4586	178	7	vi	vi	NOUN
ejpam-4586	178	8	)	)	PUNCT
ejpam-4586	178	9	of	of	ADP
ejpam-4586	178	10	the	the	DET
ejpam-4586	178	11	lemma	lemma	PROPN
ejpam-4586	178	12	1	1	NUM
ejpam-4586	178	13	makes	make	VERB
ejpam-4586	178	14	it	it	PRON
ejpam-4586	178	15	possible	possible	ADJ
ejpam-4586	178	16	to	to	PART
ejpam-4586	178	17	obtain	obtain	VERB
ejpam-4586	178	18	the	the	DET
ejpam-4586	178	19	equality	equality	NOUN
ejpam-4586	178	20	:	:	PUNCT
ejpam-4586	178	21	(	(	PUNCT
ejpam-4586	178	22	1−	1−	NUM
ejpam-4586	178	23	32λ)α0γ	32λ)α0γ	NUM
ejpam-4586	178	24	2e1	2e1	NUM
ejpam-4586	178	25	+	+	CCONJ
ejpam-4586	178	26	(	(	PUNCT
ejpam-4586	178	27	1−	1−	NUM
ejpam-4586	178	28	32λ)α1γe2	32λ)α1γe2	NUM
ejpam-4586	178	29	=	=	SYM
ejpam-4586	178	30	0	0	NUM
ejpam-4586	178	31	,	,	PUNCT
ejpam-4586	178	32	so	so	ADV
ejpam-4586	178	33	:	:	PUNCT
ejpam-4586	178	34	α0γ	α0γ	NOUN
ejpam-4586	178	35	=	=	SYM
ejpam-4586	178	36	0	0	X
ejpam-4586	178	37	.	.	PUNCT
ejpam-4586	179	1	(	(	PUNCT
ejpam-4586	179	2	10	10	NUM
ejpam-4586	179	3	)	)	PUNCT
ejpam-4586	179	4	α1γ	α1γ	PUNCT
ejpam-4586	180	1	=	=	SYM
ejpam-4586	180	2	0	0	X
ejpam-4586	180	3	.	.	PUNCT
ejpam-4586	181	1	(	(	PUNCT
ejpam-4586	181	2	11	11	NUM
ejpam-4586	181	3	)	)	PUNCT
ejpam-4586	181	4	by	by	ADP
ejpam-4586	181	5	multiplying	multiply	VERB
ejpam-4586	181	6	(	(	PUNCT
ejpam-4586	181	7	7	7	NUM
ejpam-4586	181	8	)	)	PUNCT
ejpam-4586	181	9	by	by	ADP
ejpam-4586	181	10	γ	γ	NOUN
ejpam-4586	181	11	we	we	PRON
ejpam-4586	181	12	obtain	obtain	VERB
ejpam-4586	181	13	γβ1	γβ1	NOUN
ejpam-4586	182	1	=	=	NOUN
ejpam-4586	182	2	0	0	PUNCT
ejpam-4586	183	1	since	since	SCONJ
ejpam-4586	183	2	α0γ	α0γ	NOUN
ejpam-4586	183	3	=	=	SYM
ejpam-4586	183	4	0	0	NUM
ejpam-4586	183	5	.	.	PUNCT
ejpam-4586	183	6	and	and	CCONJ
ejpam-4586	183	7	by	by	ADP
ejpam-4586	183	8	reasoning	reasoning	NOUN
ejpam-4586	183	9	in	in	ADP
ejpam-4586	183	10	the	the	DET
ejpam-4586	183	11	same	same	ADJ
ejpam-4586	183	12	way	way	NOUN
ejpam-4586	183	13	but	but	CCONJ
ejpam-4586	183	14	with	with	ADP
ejpam-4586	183	15	µ1	µ1	PROPN
ejpam-4586	183	16	we	we	PRON
ejpam-4586	183	17	obtain	obtain	VERB
ejpam-4586	183	18	µ1β1	µ1β1	NOUN
ejpam-4586	183	19	=	=	SYM
ejpam-4586	183	20	0	0	NUM
ejpam-4586	183	21	;	;	PUNCT
ejpam-4586	183	22	and	and	CCONJ
ejpam-4586	183	23	we	we	PRON
ejpam-4586	183	24	get	get	VERB
ejpam-4586	183	25	α1β1	α1β1	NOUN
ejpam-4586	183	26	=	=	NOUN
ejpam-4586	183	27	0	0	NUM
ejpam-4586	183	28	with	with	ADP
ejpam-4586	183	29	α1	α1	PROPN
ejpam-4586	183	30	.	.	PUNCT
ejpam-4586	184	1	finally	finally	ADV
ejpam-4586	184	2	the	the	DET
ejpam-4586	184	3	product	product	NOUN
ejpam-4586	184	4	of	of	ADP
ejpam-4586	184	5	(	(	PUNCT
ejpam-4586	184	6	7	7	NUM
ejpam-4586	184	7	)	)	PUNCT
ejpam-4586	184	8	with	with	ADP
ejpam-4586	184	9	µ0	µ0	NOUN
ejpam-4586	184	10	gives	give	VERB
ejpam-4586	184	11	µ0β1	µ0β1	NOUN
ejpam-4586	184	12	=	=	SYM
ejpam-4586	184	13	0	0	X
ejpam-4586	184	14	.	.	PUNCT
ejpam-4586	185	1	these	these	DET
ejpam-4586	185	2	equalities	equality	NOUN
ejpam-4586	185	3	clearly	clearly	ADV
ejpam-4586	185	4	show	show	VERB
ejpam-4586	185	5	that	that	SCONJ
ejpam-4586	185	6	some	some	DET
ejpam-4586	185	7	scalars	scalar	NOUN
ejpam-4586	185	8	can	can	AUX
ejpam-4586	185	9	not	not	PART
ejpam-4586	185	10	be	be	AUX
ejpam-4586	185	11	non	non	ADJ
ejpam-4586	185	12	-	-	ADJ
ejpam-4586	185	13	zero	zero	NUM
ejpam-4586	185	14	simultaneously	simultaneously	ADV
ejpam-4586	185	15	;	;	PUNCT
ejpam-4586	185	16	this	this	PRON
ejpam-4586	185	17	is	be	AUX
ejpam-4586	185	18	the	the	DET
ejpam-4586	185	19	case	case	NOUN
ejpam-4586	185	20	of	of	ADP
ejpam-4586	185	21	γ	γ	PROPN
ejpam-4586	185	22	and	and	CCONJ
ejpam-4586	185	23	γ1	γ1	PROPN
ejpam-4586	185	24	,	,	PUNCT
ejpam-4586	185	25	β0	β0	NOUN
ejpam-4586	185	26	and	and	CCONJ
ejpam-4586	185	27	µ1	µ1	PROPN
ejpam-4586	185	28	for	for	ADP
ejpam-4586	185	29	examples	example	NOUN
ejpam-4586	185	30	and	and	CCONJ
ejpam-4586	185	31	among	among	ADP
ejpam-4586	185	32	many	many	ADJ
ejpam-4586	185	33	others	other	NOUN
ejpam-4586	185	34	.	.	PUNCT
ejpam-4586	186	1	suppose	suppose	VERB
ejpam-4586	186	2	that	that	SCONJ
ejpam-4586	186	3	β1	β1	PROPN
ejpam-4586	186	4	̸=	̸=	PROPN
ejpam-4586	186	5	0	0	NUM
ejpam-4586	186	6	.	.	PUNCT
ejpam-4586	187	1	then	then	ADV
ejpam-4586	187	2	α1	α1	PROPN
ejpam-4586	187	3	=	=	SYM
ejpam-4586	187	4	µ1	µ1	PROPN
ejpam-4586	187	5	=	=	SYM
ejpam-4586	187	6	0	0	NUM
ejpam-4586	187	7	and	and	CCONJ
ejpam-4586	187	8	the	the	DET
ejpam-4586	187	9	equalities	equality	NOUN
ejpam-4586	187	10	(	(	PUNCT
ejpam-4586	187	11	3	3	NUM
ejpam-4586	187	12	)	)	PUNCT
ejpam-4586	187	13	and	and	CCONJ
ejpam-4586	187	14	(	(	PUNCT
ejpam-4586	187	15	7	7	X
ejpam-4586	187	16	)	)	PUNCT
ejpam-4586	187	17	implies	imply	VERB
ejpam-4586	187	18	that	that	SCONJ
ejpam-4586	187	19	0	0	X
ejpam-4586	187	20	=	=	SYM
ejpam-4586	187	21	α2	α2	ADJ
ejpam-4586	187	22	0β0	0β0	NUM
ejpam-4586	188	1	=	=	PUNCT
ejpam-4586	188	2	16β3	16β3	NUM
ejpam-4586	188	3	1	1	NUM
ejpam-4586	188	4	,	,	PUNCT
ejpam-4586	188	5	which	which	PRON
ejpam-4586	188	6	is	be	AUX
ejpam-4586	188	7	absurd	absurd	ADJ
ejpam-4586	188	8	.	.	PUNCT
ejpam-4586	189	1	thus	thus	ADV
ejpam-4586	189	2	β1	β1	PROPN
ejpam-4586	189	3	=	=	SYM
ejpam-4586	189	4	0	0	NUM
ejpam-4586	189	5	.	.	PUNCT
ejpam-4586	190	1	thus	thus	ADV
ejpam-4586	190	2	we	we	PRON
ejpam-4586	190	3	have	have	VERB
ejpam-4586	190	4	β0α0	β0α0	PUNCT
ejpam-4586	190	5	=	=	SYM
ejpam-4586	190	6	β0α1	β0α1	PUNCT
ejpam-4586	191	1	=	=	SYM
ejpam-4586	191	2	β0µ1	β0µ1	PROPN
ejpam-4586	191	3	=	=	SYM
ejpam-4586	191	4	0	0	PROPN
ejpam-4586	191	5	,	,	PUNCT
ejpam-4586	191	6	γγ1	γγ1	NOUN
ejpam-4586	191	7	=	=	PUNCT
ejpam-4586	192	1	γα0	γα0	NOUN
ejpam-4586	192	2	=	=	PUNCT
ejpam-4586	193	1	γα1	γα1	PROPN
ejpam-4586	193	2	=	=	SYM
ejpam-4586	193	3	0	0	NUM
ejpam-4586	193	4	,	,	PUNCT
ejpam-4586	193	5	α0µ0	α0µ0	X
ejpam-4586	193	6	=	=	SYM
ejpam-4586	193	7	λ2α1γ0	λ2α1γ0	PROPN
ejpam-4586	193	8	,	,	PUNCT
ejpam-4586	193	9	(	(	PUNCT
ejpam-4586	193	10	1	1	NUM
ejpam-4586	193	11	+	+	NUM
ejpam-4586	193	12	4λ)α1γ1µ1	4λ)α1γ1µ1	NUM
ejpam-4586	193	13	−	−	NOUN
ejpam-4586	193	14	(	(	PUNCT
ejpam-4586	193	15	1	1	NUM
ejpam-4586	193	16	+	+	NUM
ejpam-4586	193	17	λ)2α2	λ)2α2	PROPN
ejpam-4586	193	18	1γ0	1γ0	NUM
ejpam-4586	193	19	=	=	SYM
ejpam-4586	193	20	0	0	NUM
ejpam-4586	193	21	,	,	PUNCT
ejpam-4586	193	22	(	(	PUNCT
ejpam-4586	193	23	1	1	NUM
ejpam-4586	193	24	+	+	NUM
ejpam-4586	193	25	2λ)α0γ1µ1	2λ)α0γ1µ1	NUM
ejpam-4586	193	26	−	−	NOUN
ejpam-4586	193	27	2α2	2α2	NUM
ejpam-4586	193	28	0µ0	0µ0	NUM
ejpam-4586	194	1	=	=	SYM
ejpam-4586	194	2	0	0	PROPN
ejpam-4586	194	3	,	,	PUNCT
ejpam-4586	194	4	2α1γ1µ0	2α1γ1µ0	NUM
ejpam-4586	195	1	+	+	CCONJ
ejpam-4586	195	2	2α0γ0µ1	2α0γ0µ1	NUM
ejpam-4586	195	3	+	+	NUM
ejpam-4586	195	4	α0α1µ	α0α1µ	NUM
ejpam-4586	195	5	=	=	SYM
ejpam-4586	195	6	0	0	X
ejpam-4586	195	7	.	.	PUNCT
ejpam-4586	196	1	let	let	VERB
ejpam-4586	196	2	us	we	PRON
ejpam-4586	196	3	then	then	ADV
ejpam-4586	196	4	distinguish	distinguish	VERB
ejpam-4586	196	5	the	the	DET
ejpam-4586	196	6	following	follow	VERB
ejpam-4586	196	7	cases	case	NOUN
ejpam-4586	196	8	which	which	PRON
ejpam-4586	196	9	satisfy	satisfy	VERB
ejpam-4586	196	10	these	these	DET
ejpam-4586	196	11	equalities	equality	NOUN
ejpam-4586	196	12	:	:	PUNCT
ejpam-4586	197	1	3.1	3.1	NUM
ejpam-4586	197	2	.	.	PUNCT
ejpam-4586	197	3	1st	1st	ADJ
ejpam-4586	197	4	case	case	NOUN
ejpam-4586	197	5	:	:	PUNCT
ejpam-4586	198	1	α0	α0	ADJ
ejpam-4586	198	2	̸=	̸=	PROPN
ejpam-4586	198	3	0	0	NUM
ejpam-4586	198	4	and	and	CCONJ
ejpam-4586	198	5	α1	α1	PROPN
ejpam-4586	198	6	=	=	SYM
ejpam-4586	198	7	0	0	PUNCT
ejpam-4586	198	8	then	then	ADV
ejpam-4586	198	9	β0	β0	PROPN
ejpam-4586	198	10	=	=	PUNCT
ejpam-4586	198	11	γ	γ	X
ejpam-4586	198	12	=	=	SYM
ejpam-4586	198	13	µ0	µ0	PROPN
ejpam-4586	198	14	=	=	SYM
ejpam-4586	198	15	γ0µ1	γ0µ1	PROPN
ejpam-4586	198	16	=	=	PUNCT
ejpam-4586	198	17	γ1µ1	γ1µ1	NOUN
ejpam-4586	198	18	=	=	NOUN
ejpam-4586	198	19	0	0	PROPN
ejpam-4586	198	20	.	.	PUNCT
ejpam-4586	199	1	i	i	PRON
ejpam-4586	199	2	)	)	PUNCT
ejpam-4586	199	3	µ1	µ1	PROPN
ejpam-4586	199	4	̸=	̸=	PROPN
ejpam-4586	199	5	0	0	NUM
ejpam-4586	199	6	,	,	PUNCT
ejpam-4586	199	7	then	then	ADV
ejpam-4586	199	8	γ0	γ0	PROPN
ejpam-4586	199	9	=	=	SYM
ejpam-4586	199	10	γ1	γ1	PROPN
ejpam-4586	199	11	=	=	SYM
ejpam-4586	199	12	0	0	PUNCT
ejpam-4586	199	13	and	and	CCONJ
ejpam-4586	199	14	e2	e2	PROPN
ejpam-4586	199	15	=	=	SYM
ejpam-4586	199	16	e	e	PROPN
ejpam-4586	199	17	,	,	PUNCT
ejpam-4586	199	18	ee0	ee0	X
ejpam-4586	199	19	=	=	PUNCT
ejpam-4586	199	20	1	1	NUM
ejpam-4586	199	21	2e0	2e0	NUM
ejpam-4586	199	22	,	,	PUNCT
ejpam-4586	199	23	ee1	ee1	X
ejpam-4586	200	1	=	=	SYM
ejpam-4586	200	2	0	0	PROPN
ejpam-4586	200	3	,	,	PUNCT
ejpam-4586	200	4	ee2	ee2	NOUN
ejpam-4586	201	1	=	=	SYM
ejpam-4586	201	2	λe2	λe2	PROPN
ejpam-4586	201	3	,	,	PUNCT
ejpam-4586	201	4	e20	e20	NOUN
ejpam-4586	201	5	=	=	SYM
ejpam-4586	201	6	e1	e1	PROPN
ejpam-4586	201	7	,	,	PUNCT
ejpam-4586	201	8	e21	e21	PROPN
ejpam-4586	201	9	=	=	SYM
ejpam-4586	201	10	0	0	NUM
ejpam-4586	201	11	,	,	PUNCT
ejpam-4586	201	12	e22	e22	X
ejpam-4586	201	13	=	=	SYM
ejpam-4586	201	14	0	0	NUM
ejpam-4586	201	15	,	,	PUNCT
ejpam-4586	201	16	e0e1	e0e1	NOUN
ejpam-4586	202	1	=	=	PROPN
ejpam-4586	202	2	e2	e2	PROPN
ejpam-4586	202	3	,	,	PUNCT
ejpam-4586	202	4	e0e2	e0e2	NOUN
ejpam-4586	202	5	=	=	SYM
ejpam-4586	202	6	0	0	NUM
ejpam-4586	202	7	,	,	PUNCT
ejpam-4586	202	8	e1e2	e1e2	X
ejpam-4586	202	9	=	=	SYM
ejpam-4586	202	10	µe0	µe0	ADJ
ejpam-4586	202	11	.	.	PUNCT
ejpam-4586	203	1	this	this	DET
ejpam-4586	203	2	case	case	NOUN
ejpam-4586	203	3	is	be	AUX
ejpam-4586	203	4	impossible	impossible	ADJ
ejpam-4586	203	5	because	because	SCONJ
ejpam-4586	203	6	a	a	DET
ejpam-4586	203	7	not	not	PART
ejpam-4586	203	8	satisfy	satisfy	VERB
ejpam-4586	203	9	identity	identity	NOUN
ejpam-4586	203	10	(	(	PUNCT
ejpam-4586	203	11	x4)2	x4)2	NUM
ejpam-4586	203	12	−	−	NOUN
ejpam-4586	203	13	ω(x)4x4	ω(x)4x4	NOUN
ejpam-4586	203	14	=	=	SYM
ejpam-4586	203	15	0	0	NUM
ejpam-4586	203	16	.	.	X
ejpam-4586	203	17	ii	ii	PROPN
ejpam-4586	203	18	)	)	PUNCT
ejpam-4586	203	19	µ1	µ1	PROPN
ejpam-4586	203	20	=	=	SYM
ejpam-4586	203	21	µ	µ	X
ejpam-4586	203	22	=	=	SYM
ejpam-4586	203	23	γ1	γ1	NOUN
ejpam-4586	203	24	=	=	SYM
ejpam-4586	203	25	0	0	NUM
ejpam-4586	203	26	,	,	PUNCT
ejpam-4586	203	27	then	then	ADV
ejpam-4586	203	28	e2	e2	PROPN
ejpam-4586	203	29	=	=	SYM
ejpam-4586	203	30	e	e	PROPN
ejpam-4586	203	31	,	,	PUNCT
ejpam-4586	203	32	ee0	ee0	X
ejpam-4586	203	33	=	=	PUNCT
ejpam-4586	203	34	1	1	NUM
ejpam-4586	203	35	2e0	2e0	NUM
ejpam-4586	203	36	,	,	PUNCT
ejpam-4586	203	37	ee1	ee1	X
ejpam-4586	203	38	=	=	SYM
ejpam-4586	203	39	0	0	PROPN
ejpam-4586	203	40	,	,	PUNCT
ejpam-4586	203	41	ee2	ee2	NOUN
ejpam-4586	203	42	=	=	SYM
ejpam-4586	203	43	λe2	λe2	PROPN
ejpam-4586	203	44	,	,	PUNCT
ejpam-4586	203	45	e20	e20	NOUN
ejpam-4586	203	46	=	=	SYM
ejpam-4586	203	47	e1	e1	PROPN
ejpam-4586	203	48	,	,	PUNCT
ejpam-4586	203	49	e21	e21	PROPN
ejpam-4586	203	50	=	=	SYM
ejpam-4586	203	51	0	0	NUM
ejpam-4586	203	52	,	,	PUNCT
ejpam-4586	203	53	e22	e22	X
ejpam-4586	203	54	=	=	SYM
ejpam-4586	203	55	0	0	NUM
ejpam-4586	203	56	,	,	PUNCT
ejpam-4586	203	57	e0e1	e0e1	NOUN
ejpam-4586	203	58	=	=	NOUN
ejpam-4586	203	59	0	0	NUM
ejpam-4586	203	60	,	,	PUNCT
ejpam-4586	203	61	e0e2	e0e2	NOUN
ejpam-4586	203	62	=	=	SYM
ejpam-4586	203	63	γ0e0	γ0e0	X
ejpam-4586	203	64	,	,	PUNCT
ejpam-4586	203	65	e1e2	e1e2	X
ejpam-4586	203	66	=	=	SYM
ejpam-4586	203	67	0	0	NUM
ejpam-4586	203	68	.	.	PUNCT
ejpam-4586	204	1	a	a	DET
ejpam-4586	204	2	verifies	verifie	NOUN
ejpam-4586	204	3	the	the	DET
ejpam-4586	204	4	identity	identity	NOUN
ejpam-4586	204	5	x(x2)2	x(x2)2	PROPN
ejpam-4586	204	6	−	−	PROPN
ejpam-4586	204	7	4λω(x)x4	4λω(x)x4	NUM
ejpam-4586	204	8	+	+	CCONJ
ejpam-4586	204	9	(	(	PUNCT
ejpam-4586	204	10	4λ2	4λ2	NUM
ejpam-4586	204	11	+	+	PUNCT
ejpam-4586	205	1	2λ−	2λ−	NUM
ejpam-4586	205	2	1)ω(x)2x3	1)ω(x)2x3	NUM
ejpam-4586	205	3	+	+	CCONJ
ejpam-4586	205	4	(	(	PUNCT
ejpam-4586	205	5	2λ−	2λ−	NUM
ejpam-4586	205	6	4λ2)ω(x)3x2	4λ2)ω(x)3x2	NUM
ejpam-4586	205	7	=	=	SYM
ejpam-4586	205	8	0	0	NUM
ejpam-4586	205	9	.	.	X
ejpam-4586	205	10	iii	iii	X
ejpam-4586	205	11	)	)	PUNCT
ejpam-4586	205	12	µ1	µ1	PROPN
ejpam-4586	205	13	=	=	SYM
ejpam-4586	205	14	µ	µ	X
ejpam-4586	205	15	=	=	SYM
ejpam-4586	205	16	0	0	NUM
ejpam-4586	205	17	,	,	PUNCT
ejpam-4586	205	18	γ1	γ1	NOUN
ejpam-4586	205	19	̸=	̸=	PROPN
ejpam-4586	205	20	0	0	NUM
ejpam-4586	205	21	then	then	ADV
ejpam-4586	205	22	e2	e2	PROPN
ejpam-4586	205	23	=	=	SYM
ejpam-4586	205	24	e	e	PROPN
ejpam-4586	205	25	,	,	PUNCT
ejpam-4586	205	26	ee0	ee0	X
ejpam-4586	205	27	=	=	PUNCT
ejpam-4586	205	28	1	1	NUM
ejpam-4586	205	29	2e0	2e0	NUM
ejpam-4586	205	30	,	,	PUNCT
ejpam-4586	205	31	ee1	ee1	X
ejpam-4586	205	32	=	=	SYM
ejpam-4586	205	33	0	0	PROPN
ejpam-4586	205	34	,	,	PUNCT
ejpam-4586	205	35	ee2	ee2	NOUN
ejpam-4586	205	36	=	=	SYM
ejpam-4586	205	37	λe2	λe2	PROPN
ejpam-4586	205	38	,	,	PUNCT
ejpam-4586	205	39	e20	e20	NOUN
ejpam-4586	205	40	=	=	SYM
ejpam-4586	205	41	e1	e1	PROPN
ejpam-4586	205	42	,	,	PUNCT
ejpam-4586	205	43	e21	e21	PROPN
ejpam-4586	205	44	=	=	SYM
ejpam-4586	205	45	0	0	NUM
ejpam-4586	205	46	,	,	PUNCT
ejpam-4586	205	47	e22	e22	X
ejpam-4586	205	48	=	=	SYM
ejpam-4586	205	49	0	0	NUM
ejpam-4586	205	50	,	,	PUNCT
ejpam-4586	205	51	e0e1	e0e1	NOUN
ejpam-4586	205	52	=	=	NOUN
ejpam-4586	205	53	0	0	NUM
ejpam-4586	205	54	,	,	PUNCT
ejpam-4586	205	55	e0e2	e0e2	NOUN
ejpam-4586	205	56	=	=	SYM
ejpam-4586	205	57	γ0e0	γ0e0	X
ejpam-4586	205	58	+	+	NUM
ejpam-4586	205	59	e1	e1	NOUN
ejpam-4586	205	60	,	,	PUNCT
ejpam-4586	205	61	e1e2	e1e2	X
ejpam-4586	205	62	=	=	SYM
ejpam-4586	205	63	0	0	NUM
ejpam-4586	205	64	.	.	PUNCT
ejpam-4586	206	1	a	a	DET
ejpam-4586	206	2	verifies	verifie	NOUN
ejpam-4586	206	3	the	the	DET
ejpam-4586	206	4	identity	identity	NOUN
ejpam-4586	206	5	x(x2)2	x(x2)2	PROPN
ejpam-4586	206	6	−	−	PROPN
ejpam-4586	206	7	4λω(x)x4	4λω(x)x4	NUM
ejpam-4586	206	8	+	+	CCONJ
ejpam-4586	206	9	(	(	PUNCT
ejpam-4586	206	10	4λ2	4λ2	NUM
ejpam-4586	206	11	+	+	PUNCT
ejpam-4586	207	1	2λ−	2λ−	NUM
ejpam-4586	207	2	1)ω(x)2x3	1)ω(x)2x3	NUM
ejpam-4586	207	3	+	+	CCONJ
ejpam-4586	207	4	(	(	PUNCT
ejpam-4586	207	5	2λ−	2λ−	NUM
ejpam-4586	207	6	4λ2)ω(x)3x2	4λ2)ω(x)3x2	NUM
ejpam-4586	207	7	=	=	SYM
ejpam-4586	207	8	0	0	NUM
ejpam-4586	207	9	.	.	NOUN
ejpam-4586	207	10	iv	iv	X
ejpam-4586	207	11	)	)	PUNCT
ejpam-4586	207	12	µ1	µ1	PROPN
ejpam-4586	207	13	=	=	SYM
ejpam-4586	207	14	0	0	NUM
ejpam-4586	207	15	,	,	PUNCT
ejpam-4586	207	16	γ1γ0µ	γ1γ0µ	PUNCT
ejpam-4586	207	17	̸=	̸=	NOUN
ejpam-4586	207	18	0	0	NUM
ejpam-4586	207	19	then	then	ADV
ejpam-4586	207	20	e2	e2	PROPN
ejpam-4586	207	21	=	=	SYM
ejpam-4586	207	22	e	e	PROPN
ejpam-4586	207	23	,	,	PUNCT
ejpam-4586	207	24	ee0	ee0	X
ejpam-4586	207	25	=	=	PUNCT
ejpam-4586	207	26	1	1	NUM
ejpam-4586	207	27	2e0	2e0	NUM
ejpam-4586	207	28	,	,	PUNCT
ejpam-4586	207	29	ee1	ee1	X
ejpam-4586	207	30	=	=	SYM
ejpam-4586	207	31	0	0	PROPN
ejpam-4586	207	32	,	,	PUNCT
ejpam-4586	207	33	ee2	ee2	NOUN
ejpam-4586	207	34	=	=	SYM
ejpam-4586	207	35	λe2	λe2	PROPN
ejpam-4586	207	36	,	,	PUNCT
ejpam-4586	207	37	e20	e20	NOUN
ejpam-4586	207	38	=	=	SYM
ejpam-4586	207	39	e1	e1	PROPN
ejpam-4586	207	40	,	,	PUNCT
ejpam-4586	207	41	e21	e21	PROPN
ejpam-4586	207	42	=	=	SYM
ejpam-4586	207	43	0	0	NUM
ejpam-4586	207	44	,	,	PUNCT
ejpam-4586	207	45	e22	e22	X
ejpam-4586	207	46	=	=	SYM
ejpam-4586	207	47	0	0	NUM
ejpam-4586	207	48	,	,	PUNCT
ejpam-4586	207	49	e0e1	e0e1	NOUN
ejpam-4586	207	50	=	=	NOUN
ejpam-4586	207	51	0	0	NUM
ejpam-4586	207	52	,	,	PUNCT
ejpam-4586	207	53	e0e2	e0e2	NOUN
ejpam-4586	207	54	=	=	SYM
ejpam-4586	207	55	γ0e0	γ0e0	X
ejpam-4586	207	56	+	+	X
ejpam-4586	207	57	γ1e1	γ1e1	NOUN
ejpam-4586	207	58	,	,	PUNCT
ejpam-4586	207	59	e1e2	e1e2	NOUN
ejpam-4586	207	60	=	=	SYM
ejpam-4586	207	61	e0	e0	PROPN
ejpam-4586	207	62	.	.	PUNCT
ejpam-4586	208	1	a	a	DET
ejpam-4586	208	2	verifies	verifie	NOUN
ejpam-4586	208	3	the	the	DET
ejpam-4586	208	4	identity	identity	NOUN
ejpam-4586	208	5	x(x2)2	x(x2)2	PROPN
ejpam-4586	208	6	−	−	PROPN
ejpam-4586	208	7	4λω(x)x4	4λω(x)x4	NUM
ejpam-4586	208	8	+	+	CCONJ
ejpam-4586	208	9	(	(	PUNCT
ejpam-4586	208	10	4λ2	4λ2	NUM
ejpam-4586	208	11	+	+	PUNCT
ejpam-4586	208	12	2λ−	2λ−	NUM
ejpam-4586	208	13	1)ω(x)2x3	1)ω(x)2x3	NUM
ejpam-4586	208	14	+	+	CCONJ
ejpam-4586	208	15	(	(	PUNCT
ejpam-4586	208	16	2λ−	2λ−	NUM
ejpam-4586	208	17	4λ2)ω(x)3x2	4λ2)ω(x)3x2	NUM
ejpam-4586	208	18	=	=	SYM
ejpam-4586	208	19	0	0	NUM
ejpam-4586	208	20	.	.	NOUN
ejpam-4586	208	21	3.2	3.2	NUM
ejpam-4586	208	22	.	.	PUNCT
ejpam-4586	209	1	2nd	2nd	ADJ
ejpam-4586	209	2	case	case	NOUN
ejpam-4586	209	3	:	:	PUNCT
ejpam-4586	209	4	α0α1	α0α1	PROPN
ejpam-4586	209	5	̸=	̸=	PROPN
ejpam-4586	209	6	0	0	NUM
ejpam-4586	209	7	,	,	PUNCT
ejpam-4586	209	8	then	then	ADV
ejpam-4586	209	9	β0	β0	PROPN
ejpam-4586	209	10	=	=	PUNCT
ejpam-4586	209	11	β1	β1	PROPN
ejpam-4586	209	12	=	=	PUNCT
ejpam-4586	209	13	γ	γ	PROPN
ejpam-4586	209	14	=	=	SYM
ejpam-4586	209	15	µ0	µ0	PROPN
ejpam-4586	209	16	=	=	SYM
ejpam-4586	209	17	γ0	γ0	NOUN
ejpam-4586	209	18	=	=	PUNCT
ejpam-4586	209	19	µ1γ1	µ1γ1	NOUN
ejpam-4586	209	20	=	=	NOUN
ejpam-4586	209	21	0	0	PROPN
ejpam-4586	209	22	.	.	PUNCT
ejpam-4586	210	1	the	the	DET
ejpam-4586	210	2	multiplication	multiplication	NOUN
ejpam-4586	210	3	table	table	NOUN
ejpam-4586	210	4	of	of	ADP
ejpam-4586	210	5	a	a	DET
ejpam-4586	210	6	becomes	become	NOUN
ejpam-4586	210	7	:	:	PUNCT
ejpam-4586	210	8	e2	e2	PROPN
ejpam-4586	210	9	=	=	SYM
ejpam-4586	210	10	e	e	PROPN
ejpam-4586	210	11	,	,	PUNCT
ejpam-4586	210	12	ee0	ee0	X
ejpam-4586	210	13	=	=	PUNCT
ejpam-4586	210	14	1	1	NUM
ejpam-4586	210	15	2e0	2e0	NUM
ejpam-4586	210	16	,	,	PUNCT
ejpam-4586	210	17	ee1	ee1	X
ejpam-4586	210	18	=	=	SYM
ejpam-4586	210	19	0	0	PROPN
ejpam-4586	210	20	,	,	PUNCT
ejpam-4586	210	21	ee2	ee2	NOUN
ejpam-4586	210	22	=	=	SYM
ejpam-4586	210	23	λe2	λe2	PROPN
ejpam-4586	210	24	,	,	PUNCT
ejpam-4586	210	25	e20	e20	NOUN
ejpam-4586	210	26	=	=	SYM
ejpam-4586	210	27	α0e1	α0e1	PROPN
ejpam-4586	211	1	+	+	NUM
ejpam-4586	211	2	α1e2	α1e2	PROPN
ejpam-4586	211	3	,	,	PUNCT
ejpam-4586	211	4	e21	e21	PROPN
ejpam-4586	211	5	=	=	SYM
ejpam-4586	211	6	0	0	NUM
ejpam-4586	211	7	,	,	PUNCT
ejpam-4586	211	8	e22	e22	X
ejpam-4586	211	9	=	=	SYM
ejpam-4586	211	10	0	0	NUM
ejpam-4586	211	11	,	,	PUNCT
ejpam-4586	211	12	e0e1	e0e1	NOUN
ejpam-4586	211	13	=	=	SYM
ejpam-4586	211	14	µ1e2	µ1e2	NOUN
ejpam-4586	211	15	,	,	PUNCT
ejpam-4586	211	16	e0e2	e0e2	NOUN
ejpam-4586	211	17	=	=	SYM
ejpam-4586	211	18	γ1e1,e1e2	γ1e1,e1e2	NOUN
ejpam-4586	211	19	=	=	SYM
ejpam-4586	211	20	0	0	X
ejpam-4586	211	21	.	.	PUNCT
ejpam-4586	212	1	w.	w.	PROPN
ejpam-4586	212	2	a.	a.	PROPN
ejpam-4586	212	3	zangre	zangre	PROPN
ejpam-4586	212	4	,	,	PUNCT
ejpam-4586	212	5	a.	a.	NOUN
ejpam-4586	212	6	conseibo	conseibo	PROPN
ejpam-4586	212	7	/	/	SYM
ejpam-4586	212	8	eur	eur	PROPN
ejpam-4586	212	9	.	.	PUNCT
ejpam-4586	213	1	j.	j.	PROPN
ejpam-4586	213	2	pure	pure	PROPN
ejpam-4586	213	3	appl	appl	PROPN
ejpam-4586	213	4	.	.	PROPN
ejpam-4586	213	5	math	math	PROPN
ejpam-4586	213	6	,	,	PUNCT
ejpam-4586	213	7	15	15	NUM
ejpam-4586	213	8	(	(	PUNCT
ejpam-4586	213	9	4	4	NUM
ejpam-4586	213	10	)	)	PUNCT
ejpam-4586	213	11	(	(	PUNCT
ejpam-4586	213	12	2022	2022	NUM
ejpam-4586	213	13	)	)	PUNCT
ejpam-4586	213	14	,	,	PUNCT
ejpam-4586	213	15	1887	1887	NUM
ejpam-4586	213	16	-	-	SYM
ejpam-4586	213	17	1907	1907	NUM
ejpam-4586	213	18	1894	1894	NUM
ejpam-4586	213	19	i	i	NOUN
ejpam-4586	213	20	)	)	PUNCT
ejpam-4586	213	21	µ1	µ1	PROPN
ejpam-4586	213	22	=	=	SYM
ejpam-4586	213	23	0	0	NUM
ejpam-4586	213	24	.	.	PUNCT
ejpam-4586	214	1	the	the	DET
ejpam-4586	214	2	multiplication	multiplication	NOUN
ejpam-4586	214	3	table	table	NOUN
ejpam-4586	214	4	for	for	ADP
ejpam-4586	214	5	a	a	PRON
ejpam-4586	214	6	is	be	AUX
ejpam-4586	214	7	given	give	VERB
ejpam-4586	214	8	as	as	SCONJ
ejpam-4586	214	9	follows	follow	VERB
ejpam-4586	214	10	:	:	PUNCT
ejpam-4586	214	11	e2	e2	PROPN
ejpam-4586	214	12	=	=	SYM
ejpam-4586	214	13	e	e	PROPN
ejpam-4586	214	14	,	,	PUNCT
ejpam-4586	214	15	ee0	ee0	X
ejpam-4586	214	16	=	=	PUNCT
ejpam-4586	214	17	1	1	NUM
ejpam-4586	214	18	2e0	2e0	NUM
ejpam-4586	214	19	,	,	PUNCT
ejpam-4586	214	20	ee1	ee1	X
ejpam-4586	215	1	=	=	SYM
ejpam-4586	215	2	0	0	PROPN
ejpam-4586	215	3	,	,	PUNCT
ejpam-4586	215	4	ee2	ee2	NOUN
ejpam-4586	216	1	=	=	SYM
ejpam-4586	216	2	λe2	λe2	PROPN
ejpam-4586	216	3	,	,	PUNCT
ejpam-4586	216	4	e20	e20	NOUN
ejpam-4586	216	5	=	=	SYM
ejpam-4586	216	6	e1	e1	PROPN
ejpam-4586	216	7	+	+	CCONJ
ejpam-4586	216	8	e2	e2	PROPN
ejpam-4586	216	9	,	,	PUNCT
ejpam-4586	216	10	e21	e21	PROPN
ejpam-4586	216	11	=	=	SYM
ejpam-4586	216	12	0	0	NUM
ejpam-4586	216	13	,	,	PUNCT
ejpam-4586	216	14	e22	e22	X
ejpam-4586	216	15	=	=	SYM
ejpam-4586	216	16	0	0	NUM
ejpam-4586	216	17	,	,	PUNCT
ejpam-4586	216	18	e0e1	e0e1	NOUN
ejpam-4586	216	19	=	=	NOUN
ejpam-4586	216	20	0	0	NUM
ejpam-4586	216	21	,	,	PUNCT
ejpam-4586	216	22	e0e2	e0e2	NOUN
ejpam-4586	216	23	=	=	SYM
ejpam-4586	216	24	γ1e1,e1e2	γ1e1,e1e2	NOUN
ejpam-4586	216	25	=	=	SYM
ejpam-4586	216	26	0	0	X
ejpam-4586	216	27	.	.	PUNCT
ejpam-4586	216	28	where	where	SCONJ
ejpam-4586	216	29	e1	e1	NOUN
ejpam-4586	216	30	is	be	AUX
ejpam-4586	216	31	replaced	replace	VERB
ejpam-4586	216	32	by	by	ADP
ejpam-4586	216	33	α−1	α−1	PROPN
ejpam-4586	216	34	0	0	NUM
ejpam-4586	216	35	e1	e1	PROPN
ejpam-4586	216	36	and	and	CCONJ
ejpam-4586	216	37	e2	e2	PROPN
ejpam-4586	216	38	by	by	ADP
ejpam-4586	216	39	α−1	α−1	PROPN
ejpam-4586	216	40	1	1	NUM
ejpam-4586	216	41	e2	e2	PROPN
ejpam-4586	216	42	.	.	PUNCT
ejpam-4586	217	1	a	a	DET
ejpam-4586	217	2	verifies	verifie	NOUN
ejpam-4586	217	3	polynomial	polynomial	ADJ
ejpam-4586	217	4	identity	identity	NOUN
ejpam-4586	217	5	(	(	PUNCT
ejpam-4586	217	6	x2)3	x2)3	NOUN
ejpam-4586	217	7	−	−	PROPN
ejpam-4586	217	8	ω(x)x(x2)2	ω(x)x(x2)2	SYM
ejpam-4586	217	9	−	−	NUM
ejpam-4586	217	10	ω(x)2(x2)2	ω(x)2(x2)2	NUM
ejpam-4586	217	11	+	+	CCONJ
ejpam-4586	217	12	ω(x)3x3	ω(x)3x3	ADV
ejpam-4586	217	13	=	=	ADJ
ejpam-4586	217	14	0	0	NUM
ejpam-4586	217	15	.	.	X
ejpam-4586	217	16	ii	ii	PROPN
ejpam-4586	217	17	)	)	PUNCT
ejpam-4586	217	18	µ1	µ1	PROPN
ejpam-4586	217	19	̸=	̸=	PROPN
ejpam-4586	217	20	0	0	NUM
ejpam-4586	217	21	,	,	PUNCT
ejpam-4586	217	22	then	then	ADV
ejpam-4586	217	23	γ1	γ1	PROPN
ejpam-4586	217	24	=	=	SYM
ejpam-4586	217	25	0	0	X
ejpam-4586	217	26	.	.	PUNCT
ejpam-4586	218	1	in	in	ADP
ejpam-4586	218	2	this	this	DET
ejpam-4586	218	3	case	case	NOUN
ejpam-4586	218	4	,	,	PUNCT
ejpam-4586	218	5	the	the	DET
ejpam-4586	218	6	multiplication	multiplication	NOUN
ejpam-4586	218	7	table	table	NOUN
ejpam-4586	218	8	for	for	ADP
ejpam-4586	218	9	a	a	PRON
ejpam-4586	218	10	is	be	AUX
ejpam-4586	218	11	given	give	VERB
ejpam-4586	218	12	as	as	SCONJ
ejpam-4586	218	13	follows	follow	VERB
ejpam-4586	218	14	:	:	PUNCT
ejpam-4586	218	15	e2	e2	PROPN
ejpam-4586	218	16	=	=	SYM
ejpam-4586	218	17	e	e	PROPN
ejpam-4586	218	18	,	,	PUNCT
ejpam-4586	218	19	ee0	ee0	X
ejpam-4586	218	20	=	=	PUNCT
ejpam-4586	218	21	1	1	NUM
ejpam-4586	218	22	2e0	2e0	NUM
ejpam-4586	218	23	,	,	PUNCT
ejpam-4586	218	24	ee1	ee1	X
ejpam-4586	219	1	=	=	SYM
ejpam-4586	219	2	0	0	PROPN
ejpam-4586	219	3	,	,	PUNCT
ejpam-4586	219	4	ee2	ee2	NOUN
ejpam-4586	220	1	=	=	SYM
ejpam-4586	220	2	λe2	λe2	PROPN
ejpam-4586	220	3	,	,	PUNCT
ejpam-4586	220	4	e20	e20	NOUN
ejpam-4586	220	5	=	=	SYM
ejpam-4586	220	6	e1	e1	PROPN
ejpam-4586	220	7	+	+	CCONJ
ejpam-4586	220	8	e2	e2	PROPN
ejpam-4586	220	9	,	,	PUNCT
ejpam-4586	220	10	e21	e21	PROPN
ejpam-4586	220	11	=	=	SYM
ejpam-4586	220	12	0	0	NUM
ejpam-4586	220	13	,	,	PUNCT
ejpam-4586	220	14	e22	e22	X
ejpam-4586	220	15	=	=	SYM
ejpam-4586	220	16	0	0	NUM
ejpam-4586	220	17	,	,	PUNCT
ejpam-4586	220	18	e0e1	e0e1	NOUN
ejpam-4586	220	19	=	=	SYM
ejpam-4586	220	20	µ1e2	µ1e2	NOUN
ejpam-4586	220	21	,	,	PUNCT
ejpam-4586	220	22	e0e2	e0e2	NOUN
ejpam-4586	220	23	=	=	NOUN
ejpam-4586	220	24	0,e1e2	0,e1e2	NOUN
ejpam-4586	220	25	=	=	SYM
ejpam-4586	220	26	0	0	PROPN
ejpam-4586	220	27	,	,	PUNCT
ejpam-4586	220	28	where	where	SCONJ
ejpam-4586	220	29	e1	e1	NOUN
ejpam-4586	220	30	is	be	AUX
ejpam-4586	220	31	replaced	replace	VERB
ejpam-4586	220	32	by	by	ADP
ejpam-4586	220	33	α−1	α−1	PROPN
ejpam-4586	220	34	0	0	NUM
ejpam-4586	220	35	e1	e1	PROPN
ejpam-4586	220	36	and	and	CCONJ
ejpam-4586	220	37	e2	e2	PROPN
ejpam-4586	220	38	by	by	ADP
ejpam-4586	220	39	α−1	α−1	PROPN
ejpam-4586	220	40	1	1	NUM
ejpam-4586	220	41	e2	e2	PROPN
ejpam-4586	220	42	.	.	PUNCT
ejpam-4586	221	1	we	we	PRON
ejpam-4586	221	2	prove	prove	VERB
ejpam-4586	221	3	that	that	SCONJ
ejpam-4586	221	4	a	a	DET
ejpam-4586	221	5	checks	check	NOUN
ejpam-4586	221	6	the	the	DET
ejpam-4586	221	7	polynomial	polynomial	ADJ
ejpam-4586	221	8	identity	identity	NOUN
ejpam-4586	221	9	x(x2)2	x(x2)2	PROPN
ejpam-4586	221	10	−	−	PROPN
ejpam-4586	221	11	λω(x)(x2)2	λω(x)(x2)2	NOUN
ejpam-4586	221	12	−	−	NOUN
ejpam-4586	221	13	ω(x)2x3	ω(x)2x3	NOUN
ejpam-4586	221	14	+	+	X
ejpam-4586	221	15	λω(x)3x2	λω(x)3x2	X
ejpam-4586	221	16	=	=	NOUN
ejpam-4586	221	17	0	0	NUM
ejpam-4586	221	18	.	.	NOUN
ejpam-4586	221	19	3.3	3.3	NUM
ejpam-4586	221	20	.	.	PUNCT
ejpam-4586	222	1	3rd	3rd	ADJ
ejpam-4586	222	2	case	case	NOUN
ejpam-4586	222	3	:	:	PUNCT
ejpam-4586	222	4	α0	α0	ADJ
ejpam-4586	222	5	=	=	SYM
ejpam-4586	222	6	α1	α1	PROPN
ejpam-4586	222	7	=	=	SYM
ejpam-4586	222	8	0	0	PUNCT
ejpam-4586	223	1	then	then	ADV
ejpam-4586	223	2	β0µ1	β0µ1	VERB
ejpam-4586	223	3	=	=	PUNCT
ejpam-4586	223	4	γγ1	γγ1	X
ejpam-4586	223	5	=	=	PUNCT
ejpam-4586	224	1	0	0	X
ejpam-4586	224	2	.	.	PUNCT
ejpam-4586	225	1	i	i	X
ejpam-4586	225	2	)	)	PUNCT
ejpam-4586	225	3	β0γ	β0γ	VERB
ejpam-4586	226	1	̸=	̸=	PROPN
ejpam-4586	226	2	0	0	NUM
ejpam-4586	226	3	and	and	CCONJ
ejpam-4586	226	4	µ1	µ1	PROPN
ejpam-4586	226	5	̸=	̸=	PROPN
ejpam-4586	226	6	0	0	NUM
ejpam-4586	226	7	,	,	PUNCT
ejpam-4586	226	8	then	then	ADV
ejpam-4586	226	9	γ1	γ1	PROPN
ejpam-4586	226	10	=	=	SYM
ejpam-4586	226	11	0	0	X
ejpam-4586	226	12	.	.	PUNCT
ejpam-4586	227	1	e2	e2	PROPN
ejpam-4586	227	2	=	=	PUNCT
ejpam-4586	227	3	e	e	PROPN
ejpam-4586	227	4	,	,	PUNCT
ejpam-4586	227	5	ee0	ee0	X
ejpam-4586	227	6	=	=	PUNCT
ejpam-4586	227	7	1	1	NUM
ejpam-4586	227	8	2e0	2e0	NUM
ejpam-4586	227	9	,	,	PUNCT
ejpam-4586	227	10	ee1	ee1	X
ejpam-4586	227	11	=	=	SYM
ejpam-4586	227	12	0	0	PROPN
ejpam-4586	227	13	,	,	PUNCT
ejpam-4586	227	14	ee2	ee2	NOUN
ejpam-4586	227	15	=	=	SYM
ejpam-4586	227	16	λe2	λe2	PROPN
ejpam-4586	227	17	,	,	PUNCT
ejpam-4586	227	18	e20	e20	NOUN
ejpam-4586	227	19	=	=	SYM
ejpam-4586	227	20	0	0	NUM
ejpam-4586	227	21	,	,	PUNCT
ejpam-4586	227	22	e21	e21	PROPN
ejpam-4586	227	23	=	=	SYM
ejpam-4586	227	24	β0e0	β0e0	X
ejpam-4586	227	25	,	,	PUNCT
ejpam-4586	227	26	e22	e22	PROPN
ejpam-4586	227	27	=	=	SYM
ejpam-4586	227	28	γe0	γe0	PROPN
ejpam-4586	227	29	,	,	PUNCT
ejpam-4586	227	30	e0e1	e0e1	NOUN
ejpam-4586	227	31	=	=	SYM
ejpam-4586	227	32	µ0e0	µ0e0	X
ejpam-4586	227	33	,	,	PUNCT
ejpam-4586	227	34	e0e2	e0e2	NOUN
ejpam-4586	227	35	=	=	SYM
ejpam-4586	227	36	γ0e0	γ0e0	X
ejpam-4586	227	37	,	,	PUNCT
ejpam-4586	227	38	e1e2	e1e2	X
ejpam-4586	227	39	=	=	SYM
ejpam-4586	227	40	µe0	µe0	PROPN
ejpam-4586	227	41	.	.	PUNCT
ejpam-4586	228	1	then	then	ADV
ejpam-4586	228	2	algebra	algebra	VERB
ejpam-4586	228	3	a	a	DET
ejpam-4586	228	4	verifies	verifie	NOUN
ejpam-4586	228	5	polynomial	polynomial	ADJ
ejpam-4586	228	6	identity	identity	NOUN
ejpam-4586	228	7	(	(	PUNCT
ejpam-4586	228	8	x2)2	x2)2	CCONJ
ejpam-4586	228	9	−	−	PROPN
ejpam-4586	228	10	ω(x)2x2	ω(x)2x2	NOUN
ejpam-4586	228	11	=	=	NOUN
ejpam-4586	228	12	0	0	X
ejpam-4586	228	13	.	.	X
ejpam-4586	228	14	ii	ii	PROPN
ejpam-4586	228	15	)	)	PUNCT
ejpam-4586	228	16	β0	β0	PROPN
ejpam-4586	228	17	̸=	̸=	PROPN
ejpam-4586	228	18	0	0	NUM
ejpam-4586	228	19	and	and	CCONJ
ejpam-4586	228	20	γ	γ	X
ejpam-4586	228	21	=	=	SYM
ejpam-4586	228	22	0	0	NUM
ejpam-4586	228	23	,	,	PUNCT
ejpam-4586	228	24	then	then	ADV
ejpam-4586	228	25	µ1	µ1	PROPN
ejpam-4586	228	26	=	=	SYM
ejpam-4586	228	27	0	0	PROPN
ejpam-4586	228	28	.	.	PUNCT
ejpam-4586	229	1	e2	e2	PROPN
ejpam-4586	229	2	=	=	PUNCT
ejpam-4586	229	3	e	e	PROPN
ejpam-4586	229	4	,	,	PUNCT
ejpam-4586	229	5	ee0	ee0	X
ejpam-4586	229	6	=	=	PUNCT
ejpam-4586	229	7	1	1	NUM
ejpam-4586	229	8	2e0	2e0	NUM
ejpam-4586	229	9	,	,	PUNCT
ejpam-4586	229	10	ee1	ee1	X
ejpam-4586	229	11	=	=	SYM
ejpam-4586	229	12	0	0	PROPN
ejpam-4586	229	13	,	,	PUNCT
ejpam-4586	229	14	ee2	ee2	NOUN
ejpam-4586	229	15	=	=	SYM
ejpam-4586	229	16	λe2	λe2	PROPN
ejpam-4586	229	17	,	,	PUNCT
ejpam-4586	229	18	e20	e20	NOUN
ejpam-4586	229	19	=	=	SYM
ejpam-4586	229	20	0	0	NUM
ejpam-4586	229	21	,	,	PUNCT
ejpam-4586	229	22	e21	e21	PROPN
ejpam-4586	229	23	=	=	SYM
ejpam-4586	229	24	β0e0	β0e0	X
ejpam-4586	229	25	,	,	PUNCT
ejpam-4586	229	26	e22	e22	X
ejpam-4586	229	27	=	=	SYM
ejpam-4586	229	28	0	0	NUM
ejpam-4586	229	29	,	,	PUNCT
ejpam-4586	229	30	e0e1	e0e1	NOUN
ejpam-4586	229	31	=	=	SYM
ejpam-4586	229	32	µ0e0	µ0e0	X
ejpam-4586	229	33	,	,	PUNCT
ejpam-4586	229	34	e0e2	e0e2	NOUN
ejpam-4586	229	35	=	=	SYM
ejpam-4586	229	36	γ0e0	γ0e0	X
ejpam-4586	229	37	+	+	X
ejpam-4586	229	38	γ1e1	γ1e1	NOUN
ejpam-4586	229	39	,	,	PUNCT
ejpam-4586	229	40	e1e2	e1e2	X
ejpam-4586	229	41	=	=	SYM
ejpam-4586	229	42	µe0	µe0	ADJ
ejpam-4586	229	43	.	.	PUNCT
ejpam-4586	230	1	this	this	DET
ejpam-4586	230	2	case	case	NOUN
ejpam-4586	230	3	is	be	AUX
ejpam-4586	230	4	impossible	impossible	ADJ
ejpam-4586	230	5	because	because	SCONJ
ejpam-4586	230	6	a	a	DET
ejpam-4586	230	7	not	not	PART
ejpam-4586	230	8	satisfy	satisfy	VERB
ejpam-4586	230	9	identity	identity	NOUN
ejpam-4586	230	10	(	(	PUNCT
ejpam-4586	230	11	x4)2	x4)2	NUM
ejpam-4586	230	12	−	−	NOUN
ejpam-4586	230	13	ω(x)4x4	ω(x)4x4	NOUN
ejpam-4586	230	14	=	=	SYM
ejpam-4586	230	15	0	0	NUM
ejpam-4586	230	16	.	.	X
ejpam-4586	230	17	iii	iii	X
ejpam-4586	230	18	)	)	PUNCT
ejpam-4586	230	19	β0	β0	NOUN
ejpam-4586	230	20	=	=	SYM
ejpam-4586	230	21	γ	γ	X
ejpam-4586	230	22	=	=	SYM
ejpam-4586	230	23	0	0	NUM
ejpam-4586	230	24	,	,	PUNCT
ejpam-4586	230	25	then	then	ADV
ejpam-4586	230	26	e2	e2	PROPN
ejpam-4586	230	27	=	=	SYM
ejpam-4586	230	28	e	e	PROPN
ejpam-4586	230	29	,	,	PUNCT
ejpam-4586	230	30	ee0	ee0	X
ejpam-4586	230	31	=	=	PUNCT
ejpam-4586	230	32	1	1	NUM
ejpam-4586	230	33	2e0	2e0	NUM
ejpam-4586	230	34	,	,	PUNCT
ejpam-4586	230	35	ee1	ee1	X
ejpam-4586	230	36	=	=	SYM
ejpam-4586	230	37	0	0	PROPN
ejpam-4586	230	38	,	,	PUNCT
ejpam-4586	230	39	ee2	ee2	NOUN
ejpam-4586	230	40	=	=	SYM
ejpam-4586	230	41	λe2	λe2	PROPN
ejpam-4586	230	42	,	,	PUNCT
ejpam-4586	230	43	e20	e20	NOUN
ejpam-4586	230	44	=	=	SYM
ejpam-4586	230	45	0	0	NUM
ejpam-4586	230	46	,	,	PUNCT
ejpam-4586	230	47	e21	e21	NUM
ejpam-4586	230	48	=	=	SYM
ejpam-4586	230	49	0	0	NUM
ejpam-4586	230	50	,	,	PUNCT
ejpam-4586	230	51	e22	e22	X
ejpam-4586	230	52	=	=	SYM
ejpam-4586	230	53	0	0	NUM
ejpam-4586	230	54	,	,	PUNCT
ejpam-4586	230	55	e0e1	e0e1	NOUN
ejpam-4586	230	56	=	=	PUNCT
ejpam-4586	230	57	µ0e0	µ0e0	PUNCT
ejpam-4586	230	58	+	+	ADJ
ejpam-4586	230	59	µ1e2	µ1e2	SYM
ejpam-4586	230	60	,	,	PUNCT
ejpam-4586	230	61	e0e2	e0e2	NOUN
ejpam-4586	230	62	=	=	SYM
ejpam-4586	230	63	γ0e0	γ0e0	X
ejpam-4586	230	64	+	+	X
ejpam-4586	230	65	γ1e1	γ1e1	NOUN
ejpam-4586	230	66	,	,	PUNCT
ejpam-4586	230	67	e1e2	e1e2	X
ejpam-4586	230	68	=	=	SYM
ejpam-4586	230	69	µe0	µe0	ADJ
ejpam-4586	230	70	.	.	PUNCT
ejpam-4586	231	1	if	if	SCONJ
ejpam-4586	231	2	µ1	µ1	PROPN
ejpam-4586	231	3	=	=	SYM
ejpam-4586	231	4	0	0	PROPN
ejpam-4586	231	5	,	,	PUNCT
ejpam-4586	231	6	the	the	DET
ejpam-4586	231	7	algebra	algebra	NOUN
ejpam-4586	231	8	a	a	DET
ejpam-4586	231	9	verifies	verifie	NOUN
ejpam-4586	231	10	the	the	DET
ejpam-4586	231	11	identity	identity	NOUN
ejpam-4586	231	12	(	(	PUNCT
ejpam-4586	231	13	x2	x2	NOUN
ejpam-4586	231	14	−	−	PROPN
ejpam-4586	231	15	2λω(x))3(x2	2λω(x))3(x2	NUM
ejpam-4586	231	16	−	−	PROPN
ejpam-4586	231	17	2λω(x))2	2λω(x))2	NUM
ejpam-4586	231	18	−	−	PROPN
ejpam-4586	231	19	(	(	PUNCT
ejpam-4586	231	20	1	1	NUM
ejpam-4586	231	21	−	−	PROPN
ejpam-4586	231	22	2λ)ω(x)2((x2	2λ)ω(x)2((x2	NOUN
ejpam-4586	232	1	−	−	NOUN
ejpam-4586	232	2	2λω(x))2)2	2λω(x))2)2	NUM
ejpam-4586	232	3	−	−	NOUN
ejpam-4586	232	4	(	(	PUNCT
ejpam-4586	232	5	1−2λ)2	1−2λ)2	NUM
ejpam-4586	232	6	2	2	NUM
ejpam-4586	232	7	ω(x)4(x2	ω(x)4(x2	NOUN
ejpam-4586	232	8	−	−	PROPN
ejpam-4586	232	9	2λω(x))3	2λω(x))3	NUM
ejpam-4586	232	10	+	+	NUM
ejpam-4586	232	11	(	(	PUNCT
ejpam-4586	232	12	1−2λ)3	1−2λ)3	NUM
ejpam-4586	232	13	2	2	NUM
ejpam-4586	232	14	ω(x)6(x2	ω(x)6(x2	NOUN
ejpam-4586	232	15	−	−	PROPN
ejpam-4586	232	16	2λω(x))2	2λω(x))2	NUM
ejpam-4586	232	17	=	=	SYM
ejpam-4586	232	18	0	0	X
ejpam-4586	232	19	.	.	PUNCT
ejpam-4586	232	20	suppose	suppose	VERB
ejpam-4586	232	21	now	now	ADV
ejpam-4586	232	22	,	,	PUNCT
ejpam-4586	232	23	µ1	µ1	PROPN
ejpam-4586	232	24	̸=	̸=	PROPN
ejpam-4586	232	25	0	0	NUM
ejpam-4586	232	26	.	.	PUNCT
ejpam-4586	233	1	then	then	ADV
ejpam-4586	233	2	γ1	γ1	PROPN
ejpam-4586	233	3	=	=	SYM
ejpam-4586	233	4	0	0	PUNCT
ejpam-4586	233	5	and	and	CCONJ
ejpam-4586	233	6	we	we	PRON
ejpam-4586	233	7	can	can	AUX
ejpam-4586	233	8	set	set	VERB
ejpam-4586	233	9	µ1	µ1	PROPN
ejpam-4586	233	10	=	=	SYM
ejpam-4586	233	11	1	1	NUM
ejpam-4586	233	12	and	and	CCONJ
ejpam-4586	233	13	the	the	DET
ejpam-4586	233	14	multiplication	multiplication	NOUN
ejpam-4586	233	15	table	table	NOUN
ejpam-4586	233	16	of	of	ADP
ejpam-4586	233	17	a	a	PRON
ejpam-4586	233	18	is	be	AUX
ejpam-4586	233	19	one	one	NUM
ejpam-4586	233	20	of	of	ADP
ejpam-4586	233	21	:	:	PUNCT
ejpam-4586	233	22	iii.1	iii.1	PROPN
ejpam-4586	233	23	)	)	PUNCT
ejpam-4586	233	24	e2	e2	NOUN
ejpam-4586	233	25	=	=	SYM
ejpam-4586	233	26	e	e	PROPN
ejpam-4586	233	27	,	,	PUNCT
ejpam-4586	233	28	ee0	ee0	X
ejpam-4586	234	1	=	=	PUNCT
ejpam-4586	234	2	1	1	NUM
ejpam-4586	234	3	2e0	2e0	NUM
ejpam-4586	234	4	,	,	PUNCT
ejpam-4586	234	5	ee1	ee1	X
ejpam-4586	234	6	=	=	SYM
ejpam-4586	234	7	0	0	PROPN
ejpam-4586	234	8	,	,	PUNCT
ejpam-4586	234	9	ee2	ee2	NOUN
ejpam-4586	235	1	=	=	SYM
ejpam-4586	235	2	λe2	λe2	PROPN
ejpam-4586	235	3	,	,	PUNCT
ejpam-4586	235	4	e20	e20	NOUN
ejpam-4586	235	5	=	=	SYM
ejpam-4586	235	6	0	0	NUM
ejpam-4586	235	7	,	,	PUNCT
ejpam-4586	235	8	e21	e21	NUM
ejpam-4586	235	9	=	=	SYM
ejpam-4586	235	10	0	0	NUM
ejpam-4586	235	11	,	,	PUNCT
ejpam-4586	235	12	e22	e22	X
ejpam-4586	235	13	=	=	SYM
ejpam-4586	235	14	0	0	NUM
ejpam-4586	235	15	,	,	PUNCT
ejpam-4586	235	16	e0e1	e0e1	NOUN
ejpam-4586	236	1	=	=	PROPN
ejpam-4586	236	2	e2	e2	PROPN
ejpam-4586	236	3	,	,	PUNCT
ejpam-4586	236	4	e0e2	e0e2	NOUN
ejpam-4586	236	5	=	=	SYM
ejpam-4586	236	6	e0	e0	PROPN
ejpam-4586	236	7	,	,	PUNCT
ejpam-4586	236	8	e1e2	e1e2	X
ejpam-4586	236	9	=	=	SYM
ejpam-4586	236	10	0	0	NUM
ejpam-4586	236	11	.	.	PUNCT
ejpam-4586	237	1	iii.2	iii.2	NOUN
ejpam-4586	237	2	)	)	PUNCT
ejpam-4586	237	3	e2	e2	NOUN
ejpam-4586	237	4	=	=	SYM
ejpam-4586	237	5	e	e	PROPN
ejpam-4586	237	6	,	,	PUNCT
ejpam-4586	237	7	ee0	ee0	X
ejpam-4586	237	8	=	=	PUNCT
ejpam-4586	237	9	1	1	NUM
ejpam-4586	237	10	2e0	2e0	NUM
ejpam-4586	237	11	,	,	PUNCT
ejpam-4586	237	12	ee1	ee1	X
ejpam-4586	237	13	=	=	SYM
ejpam-4586	237	14	0	0	PROPN
ejpam-4586	237	15	,	,	PUNCT
ejpam-4586	237	16	ee2	ee2	NOUN
ejpam-4586	238	1	=	=	SYM
ejpam-4586	238	2	λe2	λe2	PROPN
ejpam-4586	238	3	,	,	PUNCT
ejpam-4586	238	4	e20	e20	NOUN
ejpam-4586	238	5	=	=	SYM
ejpam-4586	238	6	0	0	NUM
ejpam-4586	238	7	,	,	PUNCT
ejpam-4586	238	8	e21	e21	NUM
ejpam-4586	238	9	=	=	SYM
ejpam-4586	238	10	0	0	NUM
ejpam-4586	238	11	,	,	PUNCT
ejpam-4586	238	12	e22	e22	X
ejpam-4586	238	13	=	=	SYM
ejpam-4586	238	14	0	0	NUM
ejpam-4586	238	15	,	,	PUNCT
ejpam-4586	238	16	e0e1	e0e1	NOUN
ejpam-4586	238	17	=	=	SYM
ejpam-4586	238	18	µ0e0	µ0e0	PUNCT
ejpam-4586	238	19	+	+	NUM
ejpam-4586	238	20	e2	e2	NOUN
ejpam-4586	238	21	,	,	PUNCT
ejpam-4586	238	22	e0e2	e0e2	NOUN
ejpam-4586	238	23	=	=	SYM
ejpam-4586	238	24	e0	e0	PROPN
ejpam-4586	238	25	,	,	PUNCT
ejpam-4586	238	26	e1e2	e1e2	X
ejpam-4586	238	27	=	=	SYM
ejpam-4586	238	28	0	0	NUM
ejpam-4586	238	29	.	.	PUNCT
ejpam-4586	239	1	iii.3	iii.3	PROPN
ejpam-4586	239	2	)	)	PUNCT
ejpam-4586	239	3	e2	e2	PROPN
ejpam-4586	239	4	=	=	SYM
ejpam-4586	239	5	e	e	PROPN
ejpam-4586	239	6	,	,	PUNCT
ejpam-4586	239	7	ee0	ee0	X
ejpam-4586	239	8	=	=	PUNCT
ejpam-4586	239	9	1	1	NUM
ejpam-4586	239	10	2e0	2e0	NUM
ejpam-4586	239	11	,	,	PUNCT
ejpam-4586	239	12	ee1	ee1	X
ejpam-4586	239	13	=	=	SYM
ejpam-4586	239	14	0	0	PROPN
ejpam-4586	239	15	,	,	PUNCT
ejpam-4586	239	16	ee2	ee2	NOUN
ejpam-4586	239	17	=	=	SYM
ejpam-4586	239	18	λe2	λe2	PROPN
ejpam-4586	239	19	,	,	PUNCT
ejpam-4586	239	20	e20	e20	NOUN
ejpam-4586	239	21	=	=	SYM
ejpam-4586	239	22	0	0	NUM
ejpam-4586	239	23	,	,	PUNCT
ejpam-4586	239	24	e21	e21	NUM
ejpam-4586	239	25	=	=	SYM
ejpam-4586	239	26	0	0	NUM
ejpam-4586	239	27	,	,	PUNCT
ejpam-4586	239	28	e22	e22	X
ejpam-4586	239	29	=	=	SYM
ejpam-4586	239	30	0	0	NUM
ejpam-4586	239	31	,	,	PUNCT
ejpam-4586	239	32	e0e1	e0e1	NOUN
ejpam-4586	239	33	=	=	PROPN
ejpam-4586	239	34	e2	e2	PROPN
ejpam-4586	239	35	,	,	PUNCT
ejpam-4586	239	36	e0e2	e0e2	NOUN
ejpam-4586	239	37	=	=	SYM
ejpam-4586	239	38	e0	e0	PROPN
ejpam-4586	239	39	,	,	PUNCT
ejpam-4586	239	40	e1e2	e1e2	X
ejpam-4586	239	41	=	=	SYM
ejpam-4586	239	42	µe0	µe0	X
ejpam-4586	239	43	.	.	PUNCT
ejpam-4586	240	1	iii.4	iii.4	PROPN
ejpam-4586	240	2	)	)	PUNCT
ejpam-4586	240	3	e2	e2	PROPN
ejpam-4586	240	4	=	=	SYM
ejpam-4586	240	5	e	e	PROPN
ejpam-4586	240	6	,	,	PUNCT
ejpam-4586	240	7	ee0	ee0	X
ejpam-4586	241	1	=	=	PUNCT
ejpam-4586	241	2	1	1	NUM
ejpam-4586	241	3	2e0	2e0	NUM
ejpam-4586	241	4	,	,	PUNCT
ejpam-4586	241	5	ee1	ee1	X
ejpam-4586	241	6	=	=	SYM
ejpam-4586	241	7	0	0	PROPN
ejpam-4586	241	8	,	,	PUNCT
ejpam-4586	241	9	ee2	ee2	NOUN
ejpam-4586	242	1	=	=	SYM
ejpam-4586	242	2	λe2	λe2	PROPN
ejpam-4586	242	3	,	,	PUNCT
ejpam-4586	242	4	e20	e20	NOUN
ejpam-4586	242	5	=	=	SYM
ejpam-4586	242	6	0	0	NUM
ejpam-4586	242	7	,	,	PUNCT
ejpam-4586	242	8	e21	e21	NUM
ejpam-4586	242	9	=	=	SYM
ejpam-4586	242	10	0	0	NUM
ejpam-4586	242	11	,	,	PUNCT
ejpam-4586	242	12	e22	e22	X
ejpam-4586	242	13	=	=	SYM
ejpam-4586	242	14	0	0	NUM
ejpam-4586	242	15	,	,	PUNCT
ejpam-4586	242	16	e0e1	e0e1	NOUN
ejpam-4586	242	17	=	=	SYM
ejpam-4586	242	18	µ0e0	µ0e0	PUNCT
ejpam-4586	242	19	+	+	NUM
ejpam-4586	242	20	e2	e2	NOUN
ejpam-4586	242	21	,	,	PUNCT
ejpam-4586	242	22	e0e2	e0e2	NOUN
ejpam-4586	242	23	=	=	SYM
ejpam-4586	242	24	e0	e0	PROPN
ejpam-4586	242	25	,	,	PUNCT
ejpam-4586	242	26	e1e2	e1e2	X
ejpam-4586	242	27	=	=	SYM
ejpam-4586	242	28	µe0	µe0	X
ejpam-4586	242	29	.	.	PUNCT
ejpam-4586	243	1	w.	w.	PROPN
ejpam-4586	243	2	a.	a.	PROPN
ejpam-4586	243	3	zangre	zangre	PROPN
ejpam-4586	243	4	,	,	PUNCT
ejpam-4586	243	5	a.	a.	NOUN
ejpam-4586	243	6	conseibo	conseibo	PROPN
ejpam-4586	243	7	/	/	SYM
ejpam-4586	243	8	eur	eur	PROPN
ejpam-4586	243	9	.	.	PUNCT
ejpam-4586	244	1	j.	j.	PROPN
ejpam-4586	244	2	pure	pure	PROPN
ejpam-4586	244	3	appl	appl	PROPN
ejpam-4586	244	4	.	.	PROPN
ejpam-4586	244	5	math	math	PROPN
ejpam-4586	244	6	,	,	PUNCT
ejpam-4586	244	7	15	15	NUM
ejpam-4586	244	8	(	(	PUNCT
ejpam-4586	244	9	4	4	NUM
ejpam-4586	244	10	)	)	PUNCT
ejpam-4586	244	11	(	(	PUNCT
ejpam-4586	244	12	2022	2022	NUM
ejpam-4586	244	13	)	)	PUNCT
ejpam-4586	244	14	,	,	PUNCT
ejpam-4586	244	15	1887	1887	NUM
ejpam-4586	244	16	-	-	SYM
ejpam-4586	244	17	1907	1907	NUM
ejpam-4586	244	18	1895	1895	NUM
ejpam-4586	244	19	iii.5	iii.5	PROPN
ejpam-4586	244	20	)	)	PUNCT
ejpam-4586	244	21	e2	e2	NOUN
ejpam-4586	244	22	=	=	SYM
ejpam-4586	244	23	e	e	PROPN
ejpam-4586	244	24	,	,	PUNCT
ejpam-4586	244	25	ee0	ee0	X
ejpam-4586	245	1	=	=	PUNCT
ejpam-4586	245	2	1	1	NUM
ejpam-4586	245	3	2e0	2e0	NUM
ejpam-4586	245	4	,	,	PUNCT
ejpam-4586	245	5	ee1	ee1	X
ejpam-4586	245	6	=	=	SYM
ejpam-4586	245	7	0	0	PROPN
ejpam-4586	245	8	,	,	PUNCT
ejpam-4586	245	9	ee2	ee2	NOUN
ejpam-4586	246	1	=	=	SYM
ejpam-4586	246	2	λe2	λe2	PROPN
ejpam-4586	246	3	,	,	PUNCT
ejpam-4586	246	4	e20	e20	NOUN
ejpam-4586	246	5	=	=	SYM
ejpam-4586	246	6	0	0	NUM
ejpam-4586	246	7	,	,	PUNCT
ejpam-4586	246	8	e21	e21	NUM
ejpam-4586	246	9	=	=	SYM
ejpam-4586	246	10	0	0	NUM
ejpam-4586	246	11	,	,	PUNCT
ejpam-4586	246	12	e22	e22	X
ejpam-4586	246	13	=	=	SYM
ejpam-4586	246	14	0	0	NUM
ejpam-4586	246	15	,	,	PUNCT
ejpam-4586	246	16	e0e1	e0e1	NOUN
ejpam-4586	246	17	=	=	SYM
ejpam-4586	246	18	µ0e0	µ0e0	PUNCT
ejpam-4586	246	19	+	+	NUM
ejpam-4586	246	20	e2	e2	NOUN
ejpam-4586	246	21	,	,	PUNCT
ejpam-4586	246	22	e0e2	e0e2	NOUN
ejpam-4586	246	23	=	=	SYM
ejpam-4586	246	24	0	0	NUM
ejpam-4586	246	25	,	,	PUNCT
ejpam-4586	246	26	e1e2	e1e2	X
ejpam-4586	246	27	=	=	SYM
ejpam-4586	246	28	µe0	µe0	PROPN
ejpam-4586	246	29	.	.	PUNCT
ejpam-4586	247	1	then	then	ADV
ejpam-4586	247	2	the	the	DET
ejpam-4586	247	3	algebra	algebra	NOUN
ejpam-4586	247	4	a	a	DET
ejpam-4586	247	5	verifies	verifie	NOUN
ejpam-4586	247	6	polynomial	polynomial	ADJ
ejpam-4586	247	7	identity	identity	NOUN
ejpam-4586	247	8	(	(	PUNCT
ejpam-4586	247	9	x2)3	x2)3	NUM
ejpam-4586	247	10	−	−	PROPN
ejpam-4586	248	1	(	(	PUNCT
ejpam-4586	248	2	1	1	NUM
ejpam-4586	248	3	+	+	NUM
ejpam-4586	248	4	λ)ω(x)2(x2)2	λ)ω(x)2(x2)2	NOUN
ejpam-4586	248	5	+	+	CCONJ
ejpam-4586	248	6	λω(x)4x2	λω(x)4x2	NOUN
ejpam-4586	248	7	=	=	SYM
ejpam-4586	248	8	0	0	X
ejpam-4586	248	9	.	.	NOUN
ejpam-4586	248	10	iv	iv	X
ejpam-4586	248	11	)	)	PUNCT
ejpam-4586	248	12	β0	β0	NOUN
ejpam-4586	248	13	=	=	SYM
ejpam-4586	248	14	0	0	PROPN
ejpam-4586	248	15	,	,	PUNCT
ejpam-4586	248	16	γ	γ	X
ejpam-4586	248	17	̸=	̸=	PROPN
ejpam-4586	248	18	0	0	NUM
ejpam-4586	248	19	,	,	PUNCT
ejpam-4586	248	20	then	then	ADV
ejpam-4586	248	21	γ1	γ1	PROPN
ejpam-4586	248	22	=	=	SYM
ejpam-4586	248	23	0	0	X
ejpam-4586	248	24	.	.	PUNCT
ejpam-4586	249	1	e2	e2	PROPN
ejpam-4586	249	2	=	=	PUNCT
ejpam-4586	249	3	e	e	PROPN
ejpam-4586	249	4	,	,	PUNCT
ejpam-4586	249	5	ee0	ee0	X
ejpam-4586	249	6	=	=	PUNCT
ejpam-4586	249	7	1	1	NUM
ejpam-4586	249	8	2e0	2e0	NUM
ejpam-4586	249	9	,	,	PUNCT
ejpam-4586	249	10	ee1	ee1	X
ejpam-4586	249	11	=	=	SYM
ejpam-4586	249	12	0	0	PROPN
ejpam-4586	249	13	,	,	PUNCT
ejpam-4586	249	14	ee2	ee2	NOUN
ejpam-4586	249	15	=	=	SYM
ejpam-4586	249	16	λe2	λe2	PROPN
ejpam-4586	249	17	,	,	PUNCT
ejpam-4586	249	18	e20	e20	NOUN
ejpam-4586	249	19	=	=	SYM
ejpam-4586	249	20	0	0	NUM
ejpam-4586	249	21	,	,	PUNCT
ejpam-4586	249	22	e21	e21	NUM
ejpam-4586	249	23	=	=	SYM
ejpam-4586	249	24	0	0	NUM
ejpam-4586	249	25	,	,	PUNCT
ejpam-4586	249	26	e22	e22	PROPN
ejpam-4586	249	27	=	=	SYM
ejpam-4586	249	28	γe0	γe0	PROPN
ejpam-4586	249	29	,	,	PUNCT
ejpam-4586	249	30	e0e1	e0e1	NOUN
ejpam-4586	249	31	=	=	PUNCT
ejpam-4586	249	32	µ0e0	µ0e0	PUNCT
ejpam-4586	249	33	+	+	ADJ
ejpam-4586	249	34	µ1e2	µ1e2	SYM
ejpam-4586	249	35	,	,	PUNCT
ejpam-4586	249	36	e0e2	e0e2	NOUN
ejpam-4586	249	37	=	=	SYM
ejpam-4586	249	38	γ0e0	γ0e0	X
ejpam-4586	249	39	,	,	PUNCT
ejpam-4586	249	40	e1e2	e1e2	X
ejpam-4586	249	41	=	=	SYM
ejpam-4586	249	42	µe0	µe0	ADJ
ejpam-4586	249	43	.	.	PUNCT
ejpam-4586	250	1	if	if	SCONJ
ejpam-4586	250	2	µ1	µ1	PROPN
ejpam-4586	250	3	=	=	SYM
ejpam-4586	250	4	0	0	NUM
ejpam-4586	250	5	,	,	PUNCT
ejpam-4586	250	6	then	then	ADV
ejpam-4586	250	7	the	the	DET
ejpam-4586	250	8	algebra	algebra	NOUN
ejpam-4586	250	9	a	a	DET
ejpam-4586	250	10	verifies	verifie	NOUN
ejpam-4586	250	11	polynomial	polynomial	ADJ
ejpam-4586	250	12	identity	identity	NOUN
ejpam-4586	250	13	4λ2(x3)2	4λ2(x3)2	PROPN
ejpam-4586	250	14	+	+	CCONJ
ejpam-4586	250	15	4λω(x)2x3x2	4λω(x)2x3x2	NUM
ejpam-4586	250	16	+	+	CCONJ
ejpam-4586	250	17	ω(x)2(x2)2	ω(x)2(x2)2	NUM
ejpam-4586	250	18	+	+	CCONJ
ejpam-4586	250	19	2ω(x)3x3	2ω(x)3x3	NUM
ejpam-4586	250	20	−	−	NOUN
ejpam-4586	250	21	(	(	PUNCT
ejpam-4586	250	22	2λ	2λ	NOUN
ejpam-4586	250	23	+	+	CCONJ
ejpam-4586	250	24	1)ω(x)4x2	1)ω(x)4x2	NUM
ejpam-4586	250	25	=	=	SYM
ejpam-4586	250	26	0	0	X
ejpam-4586	250	27	.	.	PUNCT
ejpam-4586	251	1	if	if	SCONJ
ejpam-4586	251	2	µ1	µ1	PROPN
ejpam-4586	251	3	̸=	̸=	PROPN
ejpam-4586	251	4	0	0	NUM
ejpam-4586	251	5	,	,	PUNCT
ejpam-4586	251	6	then	then	ADV
ejpam-4586	251	7	this	this	PRON
ejpam-4586	251	8	is	be	AUX
ejpam-4586	251	9	impossible	impossible	ADJ
ejpam-4586	251	10	because	because	SCONJ
ejpam-4586	251	11	a	a	DET
ejpam-4586	251	12	not	not	PART
ejpam-4586	251	13	satisfy	satisfy	VERB
ejpam-4586	251	14	identity	identity	NOUN
ejpam-4586	251	15	(	(	PUNCT
ejpam-4586	251	16	x4)2	x4)2	NUM
ejpam-4586	251	17	−	−	NOUN
ejpam-4586	251	18	ω(x)4x4	ω(x)4x4	NOUN
ejpam-4586	251	19	=	=	SYM
ejpam-4586	251	20	0	0	NUM
ejpam-4586	251	21	.	.	X
ejpam-4586	251	22	3.4	3.4	NUM
ejpam-4586	251	23	.	.	PUNCT
ejpam-4586	251	24	4th	4th	ADJ
ejpam-4586	251	25	case	case	NOUN
ejpam-4586	251	26	:	:	PUNCT
ejpam-4586	251	27	α0	α0	ADJ
ejpam-4586	251	28	=	=	SYM
ejpam-4586	251	29	0	0	NUM
ejpam-4586	251	30	and	and	CCONJ
ejpam-4586	251	31	α1	α1	PROPN
ejpam-4586	251	32	̸=	̸=	PROPN
ejpam-4586	251	33	0	0	PUNCT
ejpam-4586	251	34	then	then	ADV
ejpam-4586	251	35	β0	β0	PROPN
ejpam-4586	251	36	=	=	PUNCT
ejpam-4586	251	37	γ	γ	X
ejpam-4586	251	38	=	=	SYM
ejpam-4586	251	39	γ0	γ0	NOUN
ejpam-4586	251	40	=	=	PUNCT
ejpam-4586	252	1	γ1µ0	γ1µ0	PUNCT
ejpam-4586	252	2	=	=	PUNCT
ejpam-4586	252	3	γ1µ1	γ1µ1	NOUN
ejpam-4586	252	4	=	=	SYM
ejpam-4586	252	5	0	0	X
ejpam-4586	252	6	.	.	PUNCT
ejpam-4586	253	1	e2	e2	PROPN
ejpam-4586	253	2	=	=	PUNCT
ejpam-4586	253	3	e	e	PROPN
ejpam-4586	253	4	,	,	PUNCT
ejpam-4586	253	5	ee0	ee0	X
ejpam-4586	253	6	=	=	PUNCT
ejpam-4586	253	7	1	1	NUM
ejpam-4586	253	8	2e0	2e0	NUM
ejpam-4586	253	9	,	,	PUNCT
ejpam-4586	253	10	ee1	ee1	X
ejpam-4586	253	11	=	=	SYM
ejpam-4586	253	12	0	0	PROPN
ejpam-4586	253	13	,	,	PUNCT
ejpam-4586	253	14	ee2	ee2	NOUN
ejpam-4586	253	15	=	=	SYM
ejpam-4586	253	16	λe2	λe2	PROPN
ejpam-4586	253	17	,	,	PUNCT
ejpam-4586	253	18	e20	e20	NOUN
ejpam-4586	253	19	=	=	SYM
ejpam-4586	253	20	α1e2	α1e2	NOUN
ejpam-4586	253	21	,	,	PUNCT
ejpam-4586	253	22	e21	e21	PROPN
ejpam-4586	253	23	=	=	SYM
ejpam-4586	253	24	0	0	NUM
ejpam-4586	253	25	,	,	PUNCT
ejpam-4586	253	26	e22	e22	X
ejpam-4586	253	27	=	=	SYM
ejpam-4586	253	28	0	0	NUM
ejpam-4586	253	29	,	,	PUNCT
ejpam-4586	253	30	e0e1	e0e1	NOUN
ejpam-4586	253	31	=	=	PUNCT
ejpam-4586	253	32	µ0e0	µ0e0	PUNCT
ejpam-4586	253	33	+	+	ADJ
ejpam-4586	253	34	µ1e2	µ1e2	SYM
ejpam-4586	253	35	,	,	PUNCT
ejpam-4586	253	36	e0e2	e0e2	NOUN
ejpam-4586	253	37	=	=	SYM
ejpam-4586	253	38	γ1e1	γ1e1	NOUN
ejpam-4586	253	39	,	,	PUNCT
ejpam-4586	253	40	e1e2	e1e2	X
ejpam-4586	253	41	=	=	SYM
ejpam-4586	253	42	µe0	µe0	ADJ
ejpam-4586	253	43	.	.	PUNCT
ejpam-4586	254	1	i	i	PRON
ejpam-4586	254	2	)	)	PUNCT
ejpam-4586	255	1	α0	α0	ADJ
ejpam-4586	255	2	=	=	SYM
ejpam-4586	255	3	γ	γ	X
ejpam-4586	255	4	=	=	SYM
ejpam-4586	255	5	γ0	γ0	PROPN
ejpam-4586	255	6	=	=	SYM
ejpam-4586	255	7	µ1	µ1	PROPN
ejpam-4586	255	8	=	=	SYM
ejpam-4586	255	9	µ0	µ0	NOUN
ejpam-4586	255	10	=	=	SYM
ejpam-4586	255	11	0	0	NUM
ejpam-4586	255	12	and	and	CCONJ
ejpam-4586	255	13	γ1	γ1	PROPN
ejpam-4586	255	14	̸=	̸=	PROPN
ejpam-4586	255	15	0	0	NUM
ejpam-4586	255	16	e2	e2	PROPN
ejpam-4586	255	17	=	=	SYM
ejpam-4586	255	18	e	e	PROPN
ejpam-4586	255	19	,	,	PUNCT
ejpam-4586	255	20	ee0	ee0	X
ejpam-4586	255	21	=	=	PUNCT
ejpam-4586	255	22	1	1	NUM
ejpam-4586	255	23	2e0	2e0	NUM
ejpam-4586	255	24	,	,	PUNCT
ejpam-4586	255	25	ee1	ee1	X
ejpam-4586	255	26	=	=	SYM
ejpam-4586	255	27	0	0	PROPN
ejpam-4586	255	28	,	,	PUNCT
ejpam-4586	255	29	ee2	ee2	NOUN
ejpam-4586	255	30	=	=	SYM
ejpam-4586	255	31	λe2	λe2	PROPN
ejpam-4586	255	32	,	,	PUNCT
ejpam-4586	255	33	e20	e20	NOUN
ejpam-4586	255	34	=	=	SYM
ejpam-4586	255	35	α1e2	α1e2	NOUN
ejpam-4586	255	36	,	,	PUNCT
ejpam-4586	255	37	e21	e21	PROPN
ejpam-4586	255	38	=	=	SYM
ejpam-4586	255	39	0	0	NUM
ejpam-4586	255	40	,	,	PUNCT
ejpam-4586	255	41	e22	e22	X
ejpam-4586	255	42	=	=	SYM
ejpam-4586	255	43	0	0	NUM
ejpam-4586	255	44	,	,	PUNCT
ejpam-4586	255	45	e0e1	e0e1	NOUN
ejpam-4586	255	46	=	=	NOUN
ejpam-4586	255	47	0	0	NUM
ejpam-4586	255	48	,	,	PUNCT
ejpam-4586	255	49	e0e2	e0e2	NOUN
ejpam-4586	255	50	=	=	SYM
ejpam-4586	255	51	γ1e1	γ1e1	NOUN
ejpam-4586	255	52	,	,	PUNCT
ejpam-4586	255	53	e1e2	e1e2	X
ejpam-4586	255	54	=	=	SYM
ejpam-4586	255	55	µe0	µe0	ADJ
ejpam-4586	255	56	.	.	PUNCT
ejpam-4586	256	1	we	we	PRON
ejpam-4586	256	2	can	can	AUX
ejpam-4586	256	3	suppose	suppose	VERB
ejpam-4586	256	4	α1	α1	PROPN
ejpam-4586	256	5	=	=	SYM
ejpam-4586	256	6	γ1	γ1	NOUN
ejpam-4586	256	7	=	=	NOUN
ejpam-4586	256	8	1	1	X
ejpam-4586	256	9	.	.	X
ejpam-4586	257	1	if	if	SCONJ
ejpam-4586	257	2	µ	µ	X
ejpam-4586	257	3	=	=	SYM
ejpam-4586	257	4	0	0	NUM
ejpam-4586	257	5	,	,	PUNCT
ejpam-4586	257	6	the	the	DET
ejpam-4586	257	7	algebra	algebra	NOUN
ejpam-4586	257	8	a	a	DET
ejpam-4586	257	9	verifies	verifie	NOUN
ejpam-4586	257	10	polynomial	polynomial	ADJ
ejpam-4586	257	11	identity	identity	NOUN
ejpam-4586	257	12	(	(	PUNCT
ejpam-4586	257	13	x2)2	x2)2	ADP
ejpam-4586	257	14	−	−	NUM
ejpam-4586	258	1	2ω(x)x3	2ω(x)x3	NUM
ejpam-4586	258	2	+	+	NOUN
ejpam-4586	258	3	ω(x)2x2	ω(x)2x2	NOUN
ejpam-4586	258	4	=	=	NOUN
ejpam-4586	258	5	0	0	X
ejpam-4586	258	6	.	.	PUNCT
ejpam-4586	259	1	if	if	SCONJ
ejpam-4586	259	2	µ	µ	DET
ejpam-4586	259	3	̸=	̸=	PROPN
ejpam-4586	259	4	0	0	NUM
ejpam-4586	259	5	,	,	PUNCT
ejpam-4586	259	6	it	it	PRON
ejpam-4586	259	7	is	be	AUX
ejpam-4586	259	8	impossible	impossible	ADJ
ejpam-4586	259	9	because	because	SCONJ
ejpam-4586	259	10	a	a	DET
ejpam-4586	259	11	not	not	PART
ejpam-4586	259	12	satisfy	satisfy	VERB
ejpam-4586	259	13	identity	identity	NOUN
ejpam-4586	259	14	(	(	PUNCT
ejpam-4586	259	15	x4)2	x4)2	NUM
ejpam-4586	259	16	−	−	NOUN
ejpam-4586	259	17	ω(x)4x4	ω(x)4x4	NOUN
ejpam-4586	259	18	=	=	SYM
ejpam-4586	259	19	0	0	NUM
ejpam-4586	259	20	.	.	X
ejpam-4586	259	21	ii	ii	NOUN
ejpam-4586	259	22	)	)	PUNCT
ejpam-4586	259	23	α0	α0	ADJ
ejpam-4586	259	24	=	=	SYM
ejpam-4586	259	25	γ	γ	X
ejpam-4586	259	26	=	=	SYM
ejpam-4586	259	27	γ0	γ0	PROPN
ejpam-4586	259	28	=	=	SYM
ejpam-4586	259	29	γ1	γ1	PROPN
ejpam-4586	259	30	=	=	SYM
ejpam-4586	259	31	µ0	µ0	PROPN
ejpam-4586	259	32	=	=	SYM
ejpam-4586	259	33	µ1	µ1	PROPN
ejpam-4586	259	34	=	=	SYM
ejpam-4586	259	35	0	0	NUM
ejpam-4586	259	36	.	.	PUNCT
ejpam-4586	260	1	e2	e2	PROPN
ejpam-4586	260	2	=	=	PUNCT
ejpam-4586	260	3	e	e	PROPN
ejpam-4586	260	4	,	,	PUNCT
ejpam-4586	260	5	ee0	ee0	X
ejpam-4586	260	6	=	=	PUNCT
ejpam-4586	260	7	1	1	NUM
ejpam-4586	260	8	2e0	2e0	NUM
ejpam-4586	260	9	,	,	PUNCT
ejpam-4586	260	10	ee1	ee1	X
ejpam-4586	260	11	=	=	SYM
ejpam-4586	260	12	0	0	PROPN
ejpam-4586	260	13	,	,	PUNCT
ejpam-4586	260	14	ee2	ee2	NOUN
ejpam-4586	260	15	=	=	SYM
ejpam-4586	260	16	λe2	λe2	PROPN
ejpam-4586	260	17	,	,	PUNCT
ejpam-4586	260	18	e20	e20	NOUN
ejpam-4586	260	19	=	=	SYM
ejpam-4586	260	20	α1e2	α1e2	NOUN
ejpam-4586	260	21	,	,	PUNCT
ejpam-4586	260	22	e21	e21	PROPN
ejpam-4586	260	23	=	=	SYM
ejpam-4586	260	24	0	0	NUM
ejpam-4586	260	25	,	,	PUNCT
ejpam-4586	260	26	e22	e22	X
ejpam-4586	260	27	=	=	SYM
ejpam-4586	260	28	0	0	NUM
ejpam-4586	260	29	,	,	PUNCT
ejpam-4586	260	30	e0e1	e0e1	NOUN
ejpam-4586	260	31	=	=	NOUN
ejpam-4586	260	32	0	0	NUM
ejpam-4586	260	33	,	,	PUNCT
ejpam-4586	260	34	e0e2	e0e2	NOUN
ejpam-4586	260	35	=	=	SYM
ejpam-4586	260	36	0	0	NUM
ejpam-4586	260	37	,	,	PUNCT
ejpam-4586	260	38	e1e2	e1e2	X
ejpam-4586	260	39	=	=	SYM
ejpam-4586	260	40	µe0	µe0	ADJ
ejpam-4586	260	41	.	.	PUNCT
ejpam-4586	261	1	if	if	SCONJ
ejpam-4586	261	2	µ	µ	X
ejpam-4586	261	3	=	=	SYM
ejpam-4586	261	4	0	0	NUM
ejpam-4586	261	5	,	,	PUNCT
ejpam-4586	261	6	the	the	DET
ejpam-4586	261	7	algebra	algebra	NOUN
ejpam-4586	261	8	a	a	DET
ejpam-4586	261	9	verifies	verifie	NOUN
ejpam-4586	261	10	polynomial	polynomial	ADJ
ejpam-4586	261	11	identity	identity	NOUN
ejpam-4586	261	12	(	(	PUNCT
ejpam-4586	261	13	x2)3−ω(x)2(x2)2	x2)3−ω(x)2(x2)2	PROPN
ejpam-4586	261	14	=	=	SYM
ejpam-4586	261	15	0	0	PROPN
ejpam-4586	261	16	.	.	PUNCT
ejpam-4586	262	1	if	if	SCONJ
ejpam-4586	262	2	µ	µ	DET
ejpam-4586	262	3	̸=	̸=	PROPN
ejpam-4586	262	4	0	0	NUM
ejpam-4586	262	5	,	,	PUNCT
ejpam-4586	262	6	we	we	PRON
ejpam-4586	262	7	can	can	AUX
ejpam-4586	262	8	set	set	VERB
ejpam-4586	262	9	α1	α1	PROPN
ejpam-4586	262	10	=	=	SYM
ejpam-4586	262	11	µ	µ	X
ejpam-4586	262	12	=	=	SYM
ejpam-4586	262	13	1	1	NUM
ejpam-4586	262	14	and	and	CCONJ
ejpam-4586	262	15	the	the	DET
ejpam-4586	262	16	algebra	algebra	NOUN
ejpam-4586	262	17	a	a	DET
ejpam-4586	262	18	verifies	verifie	NOUN
ejpam-4586	262	19	polynomial	polynomial	ADJ
ejpam-4586	262	20	identity	identity	NOUN
ejpam-4586	262	21	(	(	PUNCT
ejpam-4586	262	22	x2)3	x2)3	NUM
ejpam-4586	262	23	−	−	PROPN
ejpam-4586	263	1	(	(	PUNCT
ejpam-4586	263	2	1	1	NUM
ejpam-4586	263	3	+	+	NUM
ejpam-4586	263	4	λ)ω(x)2(x2)2	λ)ω(x)2(x2)2	NOUN
ejpam-4586	263	5	+	+	CCONJ
ejpam-4586	263	6	λω(x)4x2	λω(x)4x2	NOUN
ejpam-4586	263	7	=	=	SYM
ejpam-4586	263	8	0	0	X
ejpam-4586	263	9	.	.	X
ejpam-4586	263	10	iii	iii	X
ejpam-4586	263	11	)	)	PUNCT
ejpam-4586	263	12	α0	α0	ADJ
ejpam-4586	263	13	=	=	SYM
ejpam-4586	263	14	γ	γ	X
ejpam-4586	263	15	=	=	SYM
ejpam-4586	263	16	γ0	γ0	PROPN
ejpam-4586	263	17	=	=	SYM
ejpam-4586	263	18	γ1	γ1	PROPN
ejpam-4586	263	19	=	=	SYM
ejpam-4586	263	20	µ1	µ1	PROPN
ejpam-4586	263	21	=	=	SYM
ejpam-4586	263	22	0	0	NUM
ejpam-4586	263	23	,	,	PUNCT
ejpam-4586	263	24	µ0	µ0	NOUN
ejpam-4586	263	25	̸=	̸=	PROPN
ejpam-4586	263	26	0	0	NUM
ejpam-4586	263	27	.	.	PUNCT
ejpam-4586	264	1	e2	e2	PROPN
ejpam-4586	264	2	=	=	PUNCT
ejpam-4586	264	3	e	e	PROPN
ejpam-4586	264	4	,	,	PUNCT
ejpam-4586	264	5	ee0	ee0	X
ejpam-4586	264	6	=	=	PUNCT
ejpam-4586	264	7	1	1	NUM
ejpam-4586	264	8	2e0	2e0	NUM
ejpam-4586	264	9	,	,	PUNCT
ejpam-4586	264	10	ee1	ee1	X
ejpam-4586	264	11	=	=	SYM
ejpam-4586	264	12	0	0	PROPN
ejpam-4586	264	13	,	,	PUNCT
ejpam-4586	264	14	ee2	ee2	NOUN
ejpam-4586	264	15	=	=	SYM
ejpam-4586	264	16	λe2	λe2	PROPN
ejpam-4586	264	17	,	,	PUNCT
ejpam-4586	264	18	e20	e20	NOUN
ejpam-4586	264	19	=	=	SYM
ejpam-4586	264	20	α1e2	α1e2	NOUN
ejpam-4586	264	21	,	,	PUNCT
ejpam-4586	264	22	e21	e21	PROPN
ejpam-4586	264	23	=	=	SYM
ejpam-4586	264	24	0	0	NUM
ejpam-4586	264	25	,	,	PUNCT
ejpam-4586	264	26	e22	e22	X
ejpam-4586	264	27	=	=	SYM
ejpam-4586	264	28	0	0	NUM
ejpam-4586	264	29	,	,	PUNCT
ejpam-4586	264	30	e0e1	e0e1	NOUN
ejpam-4586	264	31	=	=	SYM
ejpam-4586	264	32	µ0e0	µ0e0	X
ejpam-4586	264	33	,	,	PUNCT
ejpam-4586	264	34	e0e2	e0e2	NOUN
ejpam-4586	264	35	=	=	SYM
ejpam-4586	264	36	0	0	NUM
ejpam-4586	264	37	,	,	PUNCT
ejpam-4586	264	38	e1e2	e1e2	X
ejpam-4586	264	39	=	=	SYM
ejpam-4586	264	40	µe0	µe0	ADJ
ejpam-4586	264	41	.	.	PUNCT
ejpam-4586	265	1	if	if	SCONJ
ejpam-4586	265	2	µ	µ	X
ejpam-4586	265	3	=	=	SYM
ejpam-4586	265	4	0	0	NUM
ejpam-4586	265	5	,	,	PUNCT
ejpam-4586	265	6	the	the	DET
ejpam-4586	265	7	algebra	algebra	NOUN
ejpam-4586	265	8	a	a	DET
ejpam-4586	265	9	verifies	verifie	NOUN
ejpam-4586	265	10	polynomial	polynomial	ADJ
ejpam-4586	265	11	identity	identity	NOUN
ejpam-4586	265	12	(	(	PUNCT
ejpam-4586	265	13	x2)3	x2)3	NUM
ejpam-4586	265	14	−	−	PROPN
ejpam-4586	265	15	(	(	PUNCT
ejpam-4586	265	16	1	1	NUM
ejpam-4586	265	17	+	+	NUM
ejpam-4586	265	18	λ)ω(x)2(x2)2	λ)ω(x)2(x2)2	NOUN
ejpam-4586	266	1	+	+	CCONJ
ejpam-4586	266	2	λω(x)4x2	λω(x)4x2	PROPN
ejpam-4586	266	3	=	=	SYM
ejpam-4586	266	4	0.if	0.if	NUM
ejpam-4586	266	5	µ	µ	X
ejpam-4586	266	6	̸=	̸=	PROPN
ejpam-4586	266	7	0	0	NUM
ejpam-4586	266	8	,	,	PUNCT
ejpam-4586	266	9	we	we	PRON
ejpam-4586	266	10	can	can	AUX
ejpam-4586	266	11	set	set	VERB
ejpam-4586	266	12	α1	α1	PROPN
ejpam-4586	266	13	=	=	SYM
ejpam-4586	266	14	µ	µ	X
ejpam-4586	266	15	=	=	SYM
ejpam-4586	266	16	1	1	NUM
ejpam-4586	266	17	and	and	CCONJ
ejpam-4586	266	18	a	a	DET
ejpam-4586	266	19	verifies	verifie	NOUN
ejpam-4586	266	20	the	the	DET
ejpam-4586	266	21	same	same	ADJ
ejpam-4586	266	22	identity	identity	NOUN
ejpam-4586	266	23	.	.	PUNCT
ejpam-4586	267	1	iv	iv	X
ejpam-4586	267	2	)	)	PUNCT
ejpam-4586	267	3	α0	α0	ADJ
ejpam-4586	267	4	=	=	SYM
ejpam-4586	267	5	γ	γ	X
ejpam-4586	267	6	=	=	SYM
ejpam-4586	267	7	γ0	γ0	PROPN
ejpam-4586	267	8	=	=	SYM
ejpam-4586	267	9	γ1	γ1	PROPN
ejpam-4586	267	10	=	=	SYM
ejpam-4586	267	11	µ0	µ0	PROPN
ejpam-4586	267	12	=	=	SYM
ejpam-4586	267	13	0	0	NUM
ejpam-4586	267	14	,	,	PUNCT
ejpam-4586	267	15	µ1	µ1	PROPN
ejpam-4586	267	16	̸=	̸=	PROPN
ejpam-4586	267	17	0	0	NUM
ejpam-4586	267	18	.	.	PUNCT
ejpam-4586	268	1	e2	e2	PROPN
ejpam-4586	268	2	=	=	PUNCT
ejpam-4586	268	3	e	e	PROPN
ejpam-4586	268	4	,	,	PUNCT
ejpam-4586	268	5	ee0	ee0	X
ejpam-4586	268	6	=	=	PUNCT
ejpam-4586	268	7	1	1	NUM
ejpam-4586	268	8	2e0	2e0	NUM
ejpam-4586	268	9	,	,	PUNCT
ejpam-4586	268	10	ee1	ee1	X
ejpam-4586	268	11	=	=	SYM
ejpam-4586	268	12	0	0	PROPN
ejpam-4586	268	13	,	,	PUNCT
ejpam-4586	268	14	ee2	ee2	NOUN
ejpam-4586	268	15	=	=	SYM
ejpam-4586	268	16	λe2	λe2	PROPN
ejpam-4586	268	17	,	,	PUNCT
ejpam-4586	268	18	e20	e20	NOUN
ejpam-4586	268	19	=	=	SYM
ejpam-4586	268	20	α1e2	α1e2	NOUN
ejpam-4586	268	21	,	,	PUNCT
ejpam-4586	268	22	e21	e21	PROPN
ejpam-4586	268	23	=	=	SYM
ejpam-4586	268	24	0	0	NUM
ejpam-4586	268	25	,	,	PUNCT
ejpam-4586	268	26	e22	e22	X
ejpam-4586	268	27	=	=	SYM
ejpam-4586	268	28	0	0	NUM
ejpam-4586	268	29	,	,	PUNCT
ejpam-4586	268	30	e0e1	e0e1	NOUN
ejpam-4586	268	31	=	=	SYM
ejpam-4586	268	32	µ1e2	µ1e2	NOUN
ejpam-4586	268	33	,	,	PUNCT
ejpam-4586	268	34	e0e2	e0e2	NOUN
ejpam-4586	268	35	=	=	SYM
ejpam-4586	268	36	0	0	NUM
ejpam-4586	268	37	,	,	PUNCT
ejpam-4586	268	38	e1e2	e1e2	X
ejpam-4586	268	39	=	=	SYM
ejpam-4586	268	40	µe0	µe0	ADJ
ejpam-4586	268	41	.	.	PUNCT
ejpam-4586	269	1	if	if	SCONJ
ejpam-4586	269	2	µ	µ	X
ejpam-4586	269	3	=	=	SYM
ejpam-4586	269	4	0	0	NUM
ejpam-4586	269	5	,	,	PUNCT
ejpam-4586	269	6	the	the	DET
ejpam-4586	269	7	algebra	algebra	NOUN
ejpam-4586	269	8	a	a	DET
ejpam-4586	269	9	verifies	verifie	NOUN
ejpam-4586	269	10	polynomial	polynomial	ADJ
ejpam-4586	269	11	identity	identity	NOUN
ejpam-4586	269	12	(	(	PUNCT
ejpam-4586	269	13	x2)3	x2)3	NUM
ejpam-4586	269	14	−	−	PROPN
ejpam-4586	269	15	ω(x)2(x2)2	ω(x)2(x2)2	NUM
ejpam-4586	269	16	=	=	SYM
ejpam-4586	269	17	0	0	X
ejpam-4586	269	18	.	.	PUNCT
ejpam-4586	270	1	if	if	SCONJ
ejpam-4586	270	2	µ	µ	DET
ejpam-4586	270	3	̸=	̸=	PROPN
ejpam-4586	270	4	0	0	NUM
ejpam-4586	270	5	,	,	PUNCT
ejpam-4586	270	6	we	we	PRON
ejpam-4586	270	7	can	can	AUX
ejpam-4586	270	8	set	set	VERB
ejpam-4586	270	9	α1	α1	PROPN
ejpam-4586	270	10	=	=	SYM
ejpam-4586	270	11	µ	µ	X
ejpam-4586	270	12	=	=	SYM
ejpam-4586	270	13	1	1	NUM
ejpam-4586	270	14	and	and	CCONJ
ejpam-4586	270	15	the	the	DET
ejpam-4586	270	16	algebra	algebra	NOUN
ejpam-4586	270	17	a	a	DET
ejpam-4586	270	18	verifies	verifie	NOUN
ejpam-4586	270	19	polynomial	polynomial	ADJ
ejpam-4586	270	20	identity	identity	NOUN
ejpam-4586	270	21	(	(	PUNCT
ejpam-4586	270	22	x2)3	x2)3	NUM
ejpam-4586	270	23	−	−	PROPN
ejpam-4586	271	1	(	(	PUNCT
ejpam-4586	271	2	1	1	NUM
ejpam-4586	271	3	+	+	NUM
ejpam-4586	271	4	λ)ω(x)2(x2)2	λ)ω(x)2(x2)2	NOUN
ejpam-4586	271	5	+	+	CCONJ
ejpam-4586	271	6	λω(x)4x2	λω(x)4x2	NOUN
ejpam-4586	271	7	=	=	SYM
ejpam-4586	271	8	0	0	NUM
ejpam-4586	271	9	.	.	PUNCT
ejpam-4586	271	10	v	v	NOUN
ejpam-4586	271	11	)	)	PUNCT
ejpam-4586	271	12	α0	α0	ADJ
ejpam-4586	271	13	=	=	SYM
ejpam-4586	271	14	γ	γ	X
ejpam-4586	271	15	=	=	SYM
ejpam-4586	271	16	γ0	γ0	PROPN
ejpam-4586	271	17	=	=	SYM
ejpam-4586	271	18	γ1	γ1	PROPN
ejpam-4586	271	19	=	=	SYM
ejpam-4586	271	20	0	0	NUM
ejpam-4586	271	21	,	,	PUNCT
ejpam-4586	271	22	µ0µ1	µ0µ1	PROPN
ejpam-4586	271	23	̸=	̸=	PROPN
ejpam-4586	271	24	0	0	NUM
ejpam-4586	271	25	.	.	PUNCT
ejpam-4586	272	1	e2	e2	PROPN
ejpam-4586	272	2	=	=	PUNCT
ejpam-4586	272	3	e	e	PROPN
ejpam-4586	272	4	,	,	PUNCT
ejpam-4586	272	5	ee0	ee0	X
ejpam-4586	272	6	=	=	PUNCT
ejpam-4586	272	7	1	1	NUM
ejpam-4586	272	8	2e0	2e0	NUM
ejpam-4586	272	9	,	,	PUNCT
ejpam-4586	272	10	ee1	ee1	X
ejpam-4586	272	11	=	=	SYM
ejpam-4586	272	12	0	0	PROPN
ejpam-4586	272	13	,	,	PUNCT
ejpam-4586	272	14	ee2	ee2	NOUN
ejpam-4586	272	15	=	=	SYM
ejpam-4586	272	16	λe2	λe2	PROPN
ejpam-4586	272	17	,	,	PUNCT
ejpam-4586	272	18	e20	e20	NOUN
ejpam-4586	272	19	=	=	SYM
ejpam-4586	272	20	α1e2	α1e2	NOUN
ejpam-4586	272	21	,	,	PUNCT
ejpam-4586	272	22	e21	e21	PROPN
ejpam-4586	272	23	=	=	SYM
ejpam-4586	272	24	0	0	NUM
ejpam-4586	272	25	,	,	PUNCT
ejpam-4586	272	26	e22	e22	X
ejpam-4586	272	27	=	=	SYM
ejpam-4586	272	28	0	0	NUM
ejpam-4586	272	29	,	,	PUNCT
ejpam-4586	272	30	e0e1	e0e1	NOUN
ejpam-4586	272	31	=	=	PUNCT
ejpam-4586	272	32	µ0e0	µ0e0	PUNCT
ejpam-4586	272	33	+	+	ADJ
ejpam-4586	272	34	µ1e2	µ1e2	SYM
ejpam-4586	272	35	,	,	PUNCT
ejpam-4586	272	36	e0e2	e0e2	NOUN
ejpam-4586	272	37	=	=	SYM
ejpam-4586	272	38	0	0	NUM
ejpam-4586	272	39	,	,	PUNCT
ejpam-4586	272	40	e1e2	e1e2	X
ejpam-4586	272	41	=	=	SYM
ejpam-4586	272	42	µe0	µe0	ADJ
ejpam-4586	272	43	.	.	PUNCT
ejpam-4586	273	1	we	we	PRON
ejpam-4586	273	2	can	can	AUX
ejpam-4586	273	3	set	set	VERB
ejpam-4586	273	4	α1	α1	PROPN
ejpam-4586	273	5	=	=	SYM
ejpam-4586	273	6	µ1	µ1	NOUN
ejpam-4586	273	7	=	=	SYM
ejpam-4586	273	8	1	1	X
ejpam-4586	273	9	.	.	PUNCT
ejpam-4586	274	1	if	if	SCONJ
ejpam-4586	274	2	µ	µ	X
ejpam-4586	274	3	=	=	SYM
ejpam-4586	274	4	0	0	NUM
ejpam-4586	274	5	,	,	PUNCT
ejpam-4586	274	6	the	the	DET
ejpam-4586	274	7	algebra	algebra	NOUN
ejpam-4586	274	8	a	a	DET
ejpam-4586	274	9	verifies	verifie	NOUN
ejpam-4586	274	10	polynomial	polynomial	ADJ
ejpam-4586	274	11	identity	identity	NOUN
ejpam-4586	274	12	(	(	PUNCT
ejpam-4586	274	13	x2)3	x2)3	NUM
ejpam-4586	274	14	−	−	PROPN
ejpam-4586	274	15	ω(x)2(x2)2	ω(x)2(x2)2	NUM
ejpam-4586	274	16	=	=	SYM
ejpam-4586	274	17	0	0	X
ejpam-4586	274	18	.	.	PUNCT
ejpam-4586	275	1	if	if	SCONJ
ejpam-4586	275	2	µ	µ	DET
ejpam-4586	275	3	̸=	̸=	PROPN
ejpam-4586	275	4	0	0	NUM
ejpam-4586	275	5	,	,	PUNCT
ejpam-4586	275	6	the	the	DET
ejpam-4586	275	7	algebra	algebra	NOUN
ejpam-4586	275	8	a	a	DET
ejpam-4586	275	9	verifies	verifie	NOUN
ejpam-4586	275	10	polynomial	polynomial	ADJ
ejpam-4586	275	11	identity	identity	NOUN
ejpam-4586	275	12	(	(	PUNCT
ejpam-4586	275	13	x2)3	x2)3	NUM
ejpam-4586	275	14	−	−	PROPN
ejpam-4586	275	15	(	(	PUNCT
ejpam-4586	275	16	1	1	NUM
ejpam-4586	275	17	+	+	NUM
ejpam-4586	275	18	λ)ω(x)2(x2)2	λ)ω(x)2(x2)2	NOUN
ejpam-4586	275	19	+	+	CCONJ
ejpam-4586	275	20	λω(x)4x2	λω(x)4x2	NOUN
ejpam-4586	275	21	=	=	SYM
ejpam-4586	275	22	0	0	X
ejpam-4586	275	23	.	.	PUNCT
ejpam-4586	275	24	w.	w.	PROPN
ejpam-4586	275	25	a.	a.	PROPN
ejpam-4586	275	26	zangre	zangre	PROPN
ejpam-4586	275	27	,	,	PUNCT
ejpam-4586	275	28	a.	a.	NOUN
ejpam-4586	275	29	conseibo	conseibo	PROPN
ejpam-4586	275	30	/	/	SYM
ejpam-4586	275	31	eur	eur	PROPN
ejpam-4586	275	32	.	.	PUNCT
ejpam-4586	276	1	j.	j.	PROPN
ejpam-4586	276	2	pure	pure	PROPN
ejpam-4586	276	3	appl	appl	PROPN
ejpam-4586	276	4	.	.	PROPN
ejpam-4586	276	5	math	math	PROPN
ejpam-4586	276	6	,	,	PUNCT
ejpam-4586	276	7	15	15	NUM
ejpam-4586	276	8	(	(	PUNCT
ejpam-4586	276	9	4	4	NUM
ejpam-4586	276	10	)	)	PUNCT
ejpam-4586	276	11	(	(	PUNCT
ejpam-4586	276	12	2022	2022	NUM
ejpam-4586	276	13	)	)	PUNCT
ejpam-4586	276	14	,	,	PUNCT
ejpam-4586	276	15	1887	1887	NUM
ejpam-4586	276	16	-	-	SYM
ejpam-4586	276	17	1907	1907	NUM
ejpam-4586	276	18	1896	1896	NUM
ejpam-4586	276	19	thus	thus	ADV
ejpam-4586	276	20	we	we	PRON
ejpam-4586	276	21	have	have	VERB
ejpam-4586	276	22	the	the	DET
ejpam-4586	276	23	following	follow	VERB
ejpam-4586	276	24	theorem	theorem	NOUN
ejpam-4586	276	25	:	:	PUNCT
ejpam-4586	276	26	theorem	theorem	NOUN
ejpam-4586	276	27	4	4	NUM
ejpam-4586	276	28	.	.	PUNCT
ejpam-4586	276	29	let	let	VERB
ejpam-4586	276	30	a	a	PRON
ejpam-4586	276	31	be	be	AUX
ejpam-4586	276	32	a	a	DET
ejpam-4586	276	33	train	train	NOUN
ejpam-4586	276	34	algebra	algebra	NOUN
ejpam-4586	276	35	of	of	ADP
ejpam-4586	276	36	degree	degree	NOUN
ejpam-4586	276	37	2	2	NUM
ejpam-4586	276	38	and	and	CCONJ
ejpam-4586	276	39	exponent	exponent	NOUN
ejpam-4586	276	40	4	4	NUM
ejpam-4586	276	41	.	.	PUNCT
ejpam-4586	277	1	if	if	SCONJ
ejpam-4586	277	2	the	the	DET
ejpam-4586	277	3	type	type	NOUN
ejpam-4586	277	4	of	of	ADP
ejpam-4586	277	5	a	a	PRON
ejpam-4586	277	6	is	be	AUX
ejpam-4586	277	7	(	(	PUNCT
ejpam-4586	277	8	2	2	NUM
ejpam-4586	277	9	,	,	PUNCT
ejpam-4586	277	10	1	1	NUM
ejpam-4586	277	11	,	,	PUNCT
ejpam-4586	277	12	1	1	NUM
ejpam-4586	277	13	,	,	PUNCT
ejpam-4586	277	14	0	0	NUM
ejpam-4586	277	15	)	)	PUNCT
ejpam-4586	277	16	then	then	ADV
ejpam-4586	277	17	we	we	PRON
ejpam-4586	277	18	have	have	VERB
ejpam-4586	277	19	the	the	DET
ejpam-4586	277	20	algebras	algebra	NOUN
ejpam-4586	277	21	whose	whose	DET
ejpam-4586	277	22	multiplication	multiplication	NOUN
ejpam-4586	277	23	tables	table	NOUN
ejpam-4586	277	24	are	be	AUX
ejpam-4586	277	25	given	give	VERB
ejpam-4586	277	26	as	as	ADP
ejpam-4586	277	27	follows	follow	VERB
ejpam-4586	277	28	,	,	PUNCT
ejpam-4586	277	29	the	the	DET
ejpam-4586	277	30	products	product	NOUN
ejpam-4586	277	31	not	not	PART
ejpam-4586	277	32	mentioned	mention	VERB
ejpam-4586	277	33	are	be	AUX
ejpam-4586	277	34	zero	zero	NUM
ejpam-4586	277	35	.	.	PUNCT
ejpam-4586	278	1	if	if	SCONJ
ejpam-4586	278	2	one	one	NUM
ejpam-4586	278	3	or	or	CCONJ
ejpam-4586	278	4	both	both	DET
ejpam-4586	278	5	parameters	parameter	NOUN
ejpam-4586	278	6	α	α	X
ejpam-4586	278	7	and	and	CCONJ
ejpam-4586	278	8	β	β	PROPN
ejpam-4586	278	9	appear	appear	VERB
ejpam-4586	278	10	in	in	ADP
ejpam-4586	278	11	the	the	DET
ejpam-4586	278	12	multiplication	multiplication	NOUN
ejpam-4586	278	13	table	table	NOUN
ejpam-4586	278	14	,	,	PUNCT
ejpam-4586	278	15	the	the	DET
ejpam-4586	278	16	algebra	algebra	NOUN
ejpam-4586	278	17	will	will	AUX
ejpam-4586	278	18	be	be	AUX
ejpam-4586	278	19	denoted	denote	VERB
ejpam-4586	278	20	a(α	a(α	NOUN
ejpam-4586	278	21	)	)	PUNCT
ejpam-4586	278	22	or	or	CCONJ
ejpam-4586	278	23	a(α	a(α	NOUN
ejpam-4586	278	24	,	,	PUNCT
ejpam-4586	278	25	β	β	NOUN
ejpam-4586	278	26	)	)	PUNCT
ejpam-4586	278	27	.	.	PUNCT
ejpam-4586	279	1	1	1	NUM
ejpam-4586	279	2	◦	◦	NOUN
ejpam-4586	279	3	)	)	PUNCT
ejpam-4586	279	4	e2	e2	NOUN
ejpam-4586	279	5	=	=	SYM
ejpam-4586	279	6	e	e	PROPN
ejpam-4586	279	7	,	,	PUNCT
ejpam-4586	279	8	ee0	ee0	X
ejpam-4586	279	9	=	=	PUNCT
ejpam-4586	279	10	1	1	NUM
ejpam-4586	279	11	2e0	2e0	NUM
ejpam-4586	279	12	,	,	PUNCT
ejpam-4586	279	13	ee2	ee2	NOUN
ejpam-4586	279	14	=	=	SYM
ejpam-4586	279	15	λe2	λe2	PROPN
ejpam-4586	279	16	,	,	PUNCT
ejpam-4586	279	17	e0e1	e0e1	NOUN
ejpam-4586	279	18	=	=	PROPN
ejpam-4586	279	19	e2	e2	PROPN
ejpam-4586	279	20	,	,	PUNCT
ejpam-4586	279	21	e0e2	e0e2	NOUN
ejpam-4586	279	22	=	=	SYM
ejpam-4586	279	23	e0	e0	PROPN
ejpam-4586	279	24	.	.	PUNCT
ejpam-4586	280	1	2	2	NUM
ejpam-4586	280	2	◦	◦	NOUN
ejpam-4586	280	3	)	)	PUNCT
ejpam-4586	280	4	e2	e2	NOUN
ejpam-4586	280	5	=	=	SYM
ejpam-4586	280	6	e	e	PROPN
ejpam-4586	280	7	,	,	PUNCT
ejpam-4586	280	8	ee0	ee0	X
ejpam-4586	280	9	=	=	PUNCT
ejpam-4586	280	10	1	1	NUM
ejpam-4586	280	11	2e0	2e0	NUM
ejpam-4586	280	12	,	,	PUNCT
ejpam-4586	280	13	ee2	ee2	NOUN
ejpam-4586	280	14	=	=	SYM
ejpam-4586	280	15	λe2	λe2	PROPN
ejpam-4586	280	16	,	,	PUNCT
ejpam-4586	280	17	e0e1	e0e1	NOUN
ejpam-4586	280	18	=	=	SYM
ejpam-4586	280	19	αe0	αe0	NOUN
ejpam-4586	280	20	+	+	CCONJ
ejpam-4586	280	21	e2	e2	PROPN
ejpam-4586	280	22	,	,	PUNCT
ejpam-4586	280	23	e0e2	e0e2	NOUN
ejpam-4586	280	24	=	=	SYM
ejpam-4586	280	25	e0	e0	PROPN
ejpam-4586	280	26	.	.	PUNCT
ejpam-4586	281	1	3	3	NUM
ejpam-4586	281	2	◦	◦	NOUN
ejpam-4586	281	3	)	)	PUNCT
ejpam-4586	281	4	e2	e2	NOUN
ejpam-4586	281	5	=	=	SYM
ejpam-4586	281	6	e	e	PROPN
ejpam-4586	281	7	,	,	PUNCT
ejpam-4586	281	8	ee0	ee0	X
ejpam-4586	281	9	=	=	PUNCT
ejpam-4586	281	10	1	1	NUM
ejpam-4586	281	11	2e0	2e0	NUM
ejpam-4586	281	12	,	,	PUNCT
ejpam-4586	281	13	ee2	ee2	NOUN
ejpam-4586	281	14	=	=	SYM
ejpam-4586	281	15	λe2	λe2	PROPN
ejpam-4586	281	16	,	,	PUNCT
ejpam-4586	281	17	e0e1	e0e1	NOUN
ejpam-4586	281	18	=	=	PROPN
ejpam-4586	281	19	e2	e2	PROPN
ejpam-4586	281	20	,	,	PUNCT
ejpam-4586	281	21	e0e2	e0e2	NOUN
ejpam-4586	281	22	=	=	SYM
ejpam-4586	281	23	e0	e0	PROPN
ejpam-4586	281	24	,	,	PUNCT
ejpam-4586	281	25	e1e2	e1e2	X
ejpam-4586	281	26	=	=	SYM
ejpam-4586	281	27	αe0	αe0	PROPN
ejpam-4586	281	28	.	.	PUNCT
ejpam-4586	282	1	for	for	ADP
ejpam-4586	282	2	α	α	NOUN
ejpam-4586	282	3	and	and	CCONJ
ejpam-4586	282	4	α′	α′	PROPN
ejpam-4586	282	5	in	in	ADP
ejpam-4586	282	6	k⋆	k⋆	PROPN
ejpam-4586	282	7	,	,	PUNCT
ejpam-4586	282	8	a(α	a(α	ADV
ejpam-4586	282	9	)	)	PUNCT
ejpam-4586	282	10	and	and	CCONJ
ejpam-4586	282	11	a(α′	a(α′	PROPN
ejpam-4586	282	12	)	)	PUNCT
ejpam-4586	282	13	are	be	AUX
ejpam-4586	282	14	isomorph	isomorph	NOUN
ejpam-4586	282	15	if	if	SCONJ
ejpam-4586	283	1	and	and	CCONJ
ejpam-4586	283	2	only	only	ADV
ejpam-4586	283	3	if	if	SCONJ
ejpam-4586	283	4	it	it	PRON
ejpam-4586	283	5	exist	exist	VERB
ejpam-4586	283	6	k	k	PROPN
ejpam-4586	283	7	∈	∈	PROPN
ejpam-4586	283	8	k⋆	k⋆	NOUN
ejpam-4586	284	1	such	such	ADJ
ejpam-4586	284	2	that	that	SCONJ
ejpam-4586	284	3	α′	α′	NUM
ejpam-4586	284	4	=	=	SYM
ejpam-4586	284	5	k2α	k2α	NOUN
ejpam-4586	284	6	,	,	PUNCT
ejpam-4586	284	7	so	so	SCONJ
ejpam-4586	284	8	α′α−1	α′α−1	PROPN
ejpam-4586	284	9	∈	∈	PROPN
ejpam-4586	284	10	(	(	PUNCT
ejpam-4586	284	11	k⋆)2	k⋆)2	PROPN
ejpam-4586	284	12	.	.	NOUN
ejpam-4586	284	13	4	4	NUM
ejpam-4586	284	14	◦	◦	NOUN
ejpam-4586	284	15	)	)	PUNCT
ejpam-4586	284	16	e2	e2	NOUN
ejpam-4586	284	17	=	=	SYM
ejpam-4586	284	18	e	e	PROPN
ejpam-4586	284	19	,	,	PUNCT
ejpam-4586	284	20	ee0	ee0	X
ejpam-4586	284	21	=	=	PUNCT
ejpam-4586	284	22	1	1	NUM
ejpam-4586	284	23	2e0	2e0	NUM
ejpam-4586	284	24	,	,	PUNCT
ejpam-4586	284	25	ee2	ee2	NOUN
ejpam-4586	285	1	=	=	SYM
ejpam-4586	285	2	λe2	λe2	PROPN
ejpam-4586	285	3	e0e1	e0e1	NOUN
ejpam-4586	286	1	=	=	SYM
ejpam-4586	286	2	αe0	αe0	NOUN
ejpam-4586	286	3	+	+	CCONJ
ejpam-4586	286	4	e2	e2	PROPN
ejpam-4586	286	5	,	,	PUNCT
ejpam-4586	286	6	e0e2	e0e2	NOUN
ejpam-4586	286	7	=	=	SYM
ejpam-4586	286	8	e0	e0	PROPN
ejpam-4586	286	9	,	,	PUNCT
ejpam-4586	286	10	e1e2	e1e2	X
ejpam-4586	286	11	=	=	SYM
ejpam-4586	286	12	βe0	βe0	PROPN
ejpam-4586	286	13	.	.	PUNCT
ejpam-4586	287	1	for	for	ADP
ejpam-4586	287	2	α	α	NOUN
ejpam-4586	287	3	,	,	PUNCT
ejpam-4586	287	4	α′	α′	NUM
ejpam-4586	287	5	,	,	PUNCT
ejpam-4586	287	6	β	β	X
ejpam-4586	287	7	,	,	PUNCT
ejpam-4586	287	8	β′	β′	NUM
ejpam-4586	287	9	in	in	ADP
ejpam-4586	287	10	k⋆	k⋆	PROPN
ejpam-4586	287	11	,	,	PUNCT
ejpam-4586	287	12	a(α	a(α	VERB
ejpam-4586	287	13	,	,	PUNCT
ejpam-4586	287	14	β	β	NOUN
ejpam-4586	287	15	)	)	PUNCT
ejpam-4586	287	16	and	and	CCONJ
ejpam-4586	287	17	a(α′	a(α′	PROPN
ejpam-4586	287	18	,	,	PUNCT
ejpam-4586	287	19	β′	β′	NUM
ejpam-4586	287	20	)	)	PUNCT
ejpam-4586	287	21	are	be	AUX
ejpam-4586	287	22	isomorph	isomorph	NOUN
ejpam-4586	287	23	if	if	SCONJ
ejpam-4586	288	1	and	and	CCONJ
ejpam-4586	288	2	only	only	ADV
ejpam-4586	288	3	if	if	SCONJ
ejpam-4586	288	4	it	it	PRON
ejpam-4586	288	5	exist	exist	VERB
ejpam-4586	288	6	k	k	PROPN
ejpam-4586	288	7	∈	∈	PROPN
ejpam-4586	288	8	k⋆	k⋆	NOUN
ejpam-4586	289	1	such	such	ADJ
ejpam-4586	289	2	that	that	SCONJ
ejpam-4586	289	3	β′	β′	NUM
ejpam-4586	289	4	=	=	SYM
ejpam-4586	289	5	k2β	k2β	PROPN
ejpam-4586	289	6	,	,	PUNCT
ejpam-4586	289	7	so	so	ADV
ejpam-4586	289	8	β′β−1	β′β−1	SYM
ejpam-4586	289	9	∈	∈	PROPN
ejpam-4586	289	10	(	(	PUNCT
ejpam-4586	289	11	k⋆)2	k⋆)2	PROPN
ejpam-4586	289	12	.	.	NOUN
ejpam-4586	289	13	4	4	X
ejpam-4586	289	14	.	.	X
ejpam-4586	289	15	classification	classification	NOUN
ejpam-4586	289	16	of	of	ADP
ejpam-4586	289	17	algebras	algebra	NOUN
ejpam-4586	289	18	of	of	ADP
ejpam-4586	289	19	type	type	NOUN
ejpam-4586	289	20	(	(	PUNCT
ejpam-4586	289	21	2	2	NUM
ejpam-4586	289	22	,	,	PUNCT
ejpam-4586	289	23	0	0	NUM
ejpam-4586	289	24	,	,	PUNCT
ejpam-4586	289	25	1	1	NUM
ejpam-4586	289	26	,	,	PUNCT
ejpam-4586	289	27	1	1	NUM
ejpam-4586	289	28	)	)	PUNCT
ejpam-4586	289	29	the	the	DET
ejpam-4586	289	30	type	type	NOUN
ejpam-4586	289	31	of	of	ADP
ejpam-4586	289	32	a	a	DET
ejpam-4586	289	33	being	being	NOUN
ejpam-4586	289	34	(	(	PUNCT
ejpam-4586	289	35	2	2	NUM
ejpam-4586	289	36	,	,	PUNCT
ejpam-4586	289	37	0	0	NUM
ejpam-4586	289	38	,	,	PUNCT
ejpam-4586	289	39	1	1	NUM
ejpam-4586	289	40	,	,	PUNCT
ejpam-4586	289	41	1	1	NUM
ejpam-4586	289	42	)	)	PUNCT
ejpam-4586	289	43	then	then	ADV
ejpam-4586	289	44	a0	a0	PROPN
ejpam-4586	289	45	=	=	PUNCT
ejpam-4586	289	46	0	0	PUNCT
ejpam-4586	289	47	and	and	CCONJ
ejpam-4586	289	48	we	we	PRON
ejpam-4586	289	49	have	have	VERB
ejpam-4586	289	50	:	:	PUNCT
ejpam-4586	289	51	a2	a2	PROPN
ejpam-4586	289	52	1/2	1/2	NUM
ejpam-4586	289	53	⊂	⊂	PROPN
ejpam-4586	289	54	aλ⊕aλ	aλ⊕aλ	PROPN
ejpam-4586	289	55	,	,	PUNCT
ejpam-4586	289	56	a	a	DET
ejpam-4586	289	57	2	2	NUM
ejpam-4586	289	58	λ	λ	NOUN
ejpam-4586	289	59	⊂	⊂	PROPN
ejpam-4586	289	60	a1/2	a1/2	PROPN
ejpam-4586	289	61	,	,	PUNCT
ejpam-4586	289	62	a2	a2	PROPN
ejpam-4586	289	63	λ	λ	PROPN
ejpam-4586	289	64	⊂	⊂	PROPN
ejpam-4586	289	65	a1/2	a1/2	PROPN
ejpam-4586	289	66	,	,	PUNCT
ejpam-4586	289	67	a1/2aλ	a1/2aλ	PROPN
ejpam-4586	289	68	⊂	⊂	PROPN
ejpam-4586	289	69	a1/2	a1/2	PROPN
ejpam-4586	289	70	⊕aλ	⊕aλ	PROPN
ejpam-4586	289	71	,	,	PUNCT
ejpam-4586	289	72	a1/2aλ	a1/2aλ	PROPN
ejpam-4586	290	1	⊂	⊂	PROPN
ejpam-4586	290	2	a1/2	a1/2	PROPN
ejpam-4586	290	3	⊕aλ	⊕aλ	PROPN
ejpam-4586	290	4	,	,	PUNCT
ejpam-4586	290	5	aλaλ	aλaλ	PROPN
ejpam-4586	290	6	⊂	⊂	PROPN
ejpam-4586	290	7	a1/2	a1/2	VERB
ejpam-4586	290	8	.	.	PUNCT
ejpam-4586	291	1	we	we	PRON
ejpam-4586	291	2	can	can	AUX
ejpam-4586	291	3	set	set	VERB
ejpam-4586	291	4	:	:	PUNCT
ejpam-4586	291	5	a1/2	a1/2	NOUN
ejpam-4586	291	6	=	=	PROPN
ejpam-4586	291	7	<	<	X
ejpam-4586	291	8	e0	e0	PROPN
ejpam-4586	291	9	>	>	X
ejpam-4586	291	10	,	,	PUNCT
ejpam-4586	291	11	aλ	aλ	ADP
ejpam-4586	291	12	=	=	NOUN
ejpam-4586	291	13	<	<	X
ejpam-4586	291	14	e1	e1	PROPN
ejpam-4586	291	15	>	>	PUNCT
ejpam-4586	291	16	,	,	PUNCT
ejpam-4586	291	17	aλ	aλ	ADP
ejpam-4586	291	18	=	=	NOUN
ejpam-4586	291	19	<	<	X
ejpam-4586	291	20	e2	e2	PROPN
ejpam-4586	291	21	>	>	X
ejpam-4586	291	22	,	,	PUNCT
ejpam-4586	291	23	such	such	ADJ
ejpam-4586	291	24	that	that	SCONJ
ejpam-4586	291	25	e2	e2	PROPN
ejpam-4586	291	26	=	=	SYM
ejpam-4586	291	27	e	e	PROPN
ejpam-4586	291	28	,	,	PUNCT
ejpam-4586	291	29	ee0	ee0	X
ejpam-4586	292	1	=	=	PUNCT
ejpam-4586	292	2	1	1	NUM
ejpam-4586	292	3	2e0	2e0	NUM
ejpam-4586	292	4	,	,	PUNCT
ejpam-4586	292	5	ee1	ee1	NOUN
ejpam-4586	293	1	=	=	SYM
ejpam-4586	293	2	λe1	λe1	NOUN
ejpam-4586	293	3	,	,	PUNCT
ejpam-4586	293	4	ee2	ee2	NOUN
ejpam-4586	293	5	=	=	SYM
ejpam-4586	293	6	λe2	λe2	PROPN
ejpam-4586	293	7	,	,	PUNCT
ejpam-4586	293	8	e20	e20	NOUN
ejpam-4586	293	9	=	=	SYM
ejpam-4586	293	10	α0e1	α0e1	PROPN
ejpam-4586	293	11	+	+	NUM
ejpam-4586	293	12	α1e2	α1e2	PROPN
ejpam-4586	293	13	,	,	PUNCT
ejpam-4586	293	14	e21	e21	PROPN
ejpam-4586	293	15	=	=	SYM
ejpam-4586	293	16	γe0	γe0	PROPN
ejpam-4586	293	17	,	,	PUNCT
ejpam-4586	293	18	e22	e22	NOUN
ejpam-4586	293	19	=	=	SYM
ejpam-4586	293	20	µe0	µe0	X
ejpam-4586	293	21	,	,	PUNCT
ejpam-4586	293	22	e1e2	e1e2	X
ejpam-4586	293	23	=	=	SYM
ejpam-4586	293	24	ρe0	ρe0	NOUN
ejpam-4586	293	25	,	,	PUNCT
ejpam-4586	293	26	e0e1	e0e1	NOUN
ejpam-4586	293	27	=	=	NOUN
ejpam-4586	293	28	β0e0	β0e0	PUNCT
ejpam-4586	293	29	+	+	CCONJ
ejpam-4586	293	30	β1e2	β1e2	NOUN
ejpam-4586	293	31	,	,	PUNCT
ejpam-4586	293	32	e0e2	e0e2	NOUN
ejpam-4586	293	33	=	=	SYM
ejpam-4586	293	34	γ0e0	γ0e0	X
ejpam-4586	293	35	+	+	X
ejpam-4586	293	36	γ1e1	γ1e1	X
ejpam-4586	293	37	.	.	NOUN
ejpam-4586	293	38	according	accord	VERB
ejpam-4586	293	39	the	the	DET
ejpam-4586	293	40	type	type	NOUN
ejpam-4586	293	41	,	,	PUNCT
ejpam-4586	293	42	we	we	PRON
ejpam-4586	293	43	use	use	VERB
ejpam-4586	293	44	here	here	ADV
ejpam-4586	293	45	identities	identity	NOUN
ejpam-4586	293	46	of	of	ADP
ejpam-4586	293	47	lemma	lemma	PROPN
ejpam-4586	293	48	(	(	PUNCT
ejpam-4586	293	49	1	1	X
ejpam-4586	293	50	)	)	PUNCT
ejpam-4586	293	51	the	the	DET
ejpam-4586	293	52	assertion	assertion	NOUN
ejpam-4586	293	53	(	(	PUNCT
ejpam-4586	293	54	i	i	NOUN
ejpam-4586	293	55	)	)	PUNCT
ejpam-4586	293	56	leads	lead	VERB
ejpam-4586	293	57	to	to	ADP
ejpam-4586	293	58	equality	equality	NOUN
ejpam-4586	293	59	:	:	PUNCT
ejpam-4586	293	60	(	(	PUNCT
ejpam-4586	293	61	α0β0(1	α0β0(1	PROPN
ejpam-4586	293	62	+	+	CCONJ
ejpam-4586	293	63	λ	λ	PROPN
ejpam-4586	293	64	)	)	PUNCT
ejpam-4586	294	1	+	+	NUM
ejpam-4586	294	2	α1γ0(1	α1γ0(1	NOUN
ejpam-4586	294	3	+	+	CCONJ
ejpam-4586	294	4	λ))e0	λ))e0	NOUN
ejpam-4586	295	1	=	=	SYM
ejpam-4586	295	2	0	0	PUNCT
ejpam-4586	296	1	so	so	ADV
ejpam-4586	296	2	:	:	PUNCT
ejpam-4586	296	3	α0β0(1	α0β0(1	PROPN
ejpam-4586	296	4	+	+	CCONJ
ejpam-4586	296	5	λ	λ	PROPN
ejpam-4586	296	6	)	)	PUNCT
ejpam-4586	296	7	+	+	NOUN
ejpam-4586	296	8	α1γ0(1	α1γ0(1	NOUN
ejpam-4586	296	9	+	+	CCONJ
ejpam-4586	296	10	λ	λ	NOUN
ejpam-4586	296	11	)	)	PUNCT
ejpam-4586	296	12	=	=	SYM
ejpam-4586	296	13	0	0	X
ejpam-4586	296	14	.	.	PUNCT
ejpam-4586	297	1	(	(	PUNCT
ejpam-4586	297	2	12	12	NUM
ejpam-4586	297	3	)	)	PUNCT
ejpam-4586	297	4	the	the	DET
ejpam-4586	297	5	assertion	assertion	NOUN
ejpam-4586	297	6	(	(	PUNCT
ejpam-4586	297	7	ii	ii	NOUN
ejpam-4586	297	8	)	)	PUNCT
ejpam-4586	297	9	leads	lead	VERB
ejpam-4586	297	10	to	to	ADP
ejpam-4586	297	11	equality	equality	NOUN
ejpam-4586	297	12	:	:	PUNCT
ejpam-4586	298	1	[	[	X
ejpam-4586	298	2	α0β1γ0	α0β1γ0	ADJ
ejpam-4586	298	3	+	+	NOUN
ejpam-4586	298	4	α1β0γ1	α1β0γ1	ADJ
ejpam-4586	298	5	+	+	CCONJ
ejpam-4586	298	6	1	1	NUM
ejpam-4586	298	7	8(γα	8(γα	NUM
ejpam-4586	298	8	2	2	NUM
ejpam-4586	298	9	0(1	0(1	NOUN
ejpam-4586	298	10	+	+	CCONJ
ejpam-4586	298	11	3λ	3λ	NUM
ejpam-4586	298	12	)	)	PUNCT
ejpam-4586	299	1	+	+	CCONJ
ejpam-4586	299	2	4α0α1ρ	4α0α1ρ	NUM
ejpam-4586	299	3	+	+	CCONJ
ejpam-4586	299	4	µα1(1	µα1(1	X
ejpam-4586	299	5	+	+	NOUN
ejpam-4586	299	6	3λ))]e0+(4α0β0λ+2α2	3λ))]e0+(4α0β0λ+2α2	NOUN
ejpam-4586	299	7	0β0	0β0	NUM
ejpam-4586	299	8	+	+	ADJ
ejpam-4586	299	9	2α0β1γ1λ+α1γ0α0)e1+(4α2	2α0β1γ1λ+α1γ0α0)e1+(4α2	ADJ
ejpam-4586	299	10	1γ0λ+2α2	1γ0λ+2α2	NOUN
ejpam-4586	300	1	1γ0	1γ0	NUM
ejpam-4586	300	2	+	+	PROPN
ejpam-4586	300	3	2α1β1γ1λ+	2α1β1γ1λ+	NOUN
ejpam-4586	300	4	α0α1β0)e2	α0α1β0)e2	NUM
ejpam-4586	300	5	=	=	SYM
ejpam-4586	300	6	0	0	NUM
ejpam-4586	300	7	or	or	CCONJ
ejpam-4586	300	8	:	:	PUNCT
ejpam-4586	300	9	α0β1γ0	α0β1γ0	ADJ
ejpam-4586	300	10	+	+	CCONJ
ejpam-4586	300	11	α1β0γ1	α1β0γ1	ADJ
ejpam-4586	300	12	+	+	CCONJ
ejpam-4586	300	13	1	1	NUM
ejpam-4586	300	14	8	8	NUM
ejpam-4586	300	15	(	(	PUNCT
ejpam-4586	300	16	γα2	γα2	NOUN
ejpam-4586	300	17	0(1	0(1	NUM
ejpam-4586	300	18	+	+	CCONJ
ejpam-4586	300	19	3λ	3λ	NUM
ejpam-4586	300	20	)	)	PUNCT
ejpam-4586	301	1	+	+	CCONJ
ejpam-4586	301	2	4α0α1ρ+	4α0α1ρ+	NOUN
ejpam-4586	301	3	µα2	µα2	PROPN
ejpam-4586	301	4	1(1	1(1	NUM
ejpam-4586	301	5	+	+	NUM
ejpam-4586	301	6	3λ	3λ	NUM
ejpam-4586	301	7	)	)	PUNCT
ejpam-4586	301	8	)	)	PUNCT
ejpam-4586	302	1	=	=	PUNCT
ejpam-4586	302	2	0	0	X
ejpam-4586	302	3	.	.	PUNCT
ejpam-4586	303	1	(	(	PUNCT
ejpam-4586	303	2	13	13	NUM
ejpam-4586	303	3	)	)	PUNCT
ejpam-4586	303	4	4α2	4α2	NOUN
ejpam-4586	303	5	0β0λ+	0β0λ+	NUM
ejpam-4586	303	6	2α2	2α2	NUM
ejpam-4586	303	7	0β0	0β0	NUM
ejpam-4586	304	1	+	+	CCONJ
ejpam-4586	304	2	2α0β1γ1λ+	2α0β1γ1λ+	NUM
ejpam-4586	304	3	α1γ0α0	α1γ0α0	NOUN
ejpam-4586	304	4	=	=	NOUN
ejpam-4586	304	5	0	0	NUM
ejpam-4586	304	6	.	.	PUNCT
ejpam-4586	305	1	(	(	PUNCT
ejpam-4586	305	2	14	14	NUM
ejpam-4586	305	3	)	)	PUNCT
ejpam-4586	305	4	4α2	4α2	NOUN
ejpam-4586	305	5	1γ0λ+	1γ0λ+	NUM
ejpam-4586	306	1	2α2	2α2	NUM
ejpam-4586	306	2	1γ0	1γ0	NUM
ejpam-4586	306	3	+	+	NUM
ejpam-4586	306	4	2α1β1γ1λ+	2α1β1γ1λ+	NUM
ejpam-4586	306	5	α0α1β0	α0α1β0	NOUN
ejpam-4586	306	6	=	=	NOUN
ejpam-4586	306	7	0	0	NUM
ejpam-4586	306	8	.	.	PUNCT
ejpam-4586	307	1	(	(	PUNCT
ejpam-4586	307	2	15	15	NUM
ejpam-4586	307	3	)	)	PUNCT
ejpam-4586	307	4	the	the	DET
ejpam-4586	307	5	assertion	assertion	NOUN
ejpam-4586	307	6	(	(	PUNCT
ejpam-4586	307	7	v	v	NOUN
ejpam-4586	307	8	)	)	PUNCT
ejpam-4586	307	9	leads	lead	VERB
ejpam-4586	307	10	to	to	ADP
ejpam-4586	307	11	:	:	PUNCT
ejpam-4586	307	12	2(1−	2(1−	NUM
ejpam-4586	307	13	λ)γβ1e2	λ)γβ1e2	SYM
ejpam-4586	308	1	=	=	SYM
ejpam-4586	308	2	0	0	PUNCT
ejpam-4586	309	1	so	so	ADV
ejpam-4586	309	2	:	:	PUNCT
ejpam-4586	309	3	w.	w.	PROPN
ejpam-4586	309	4	a.	a.	PROPN
ejpam-4586	309	5	zangre	zangre	PROPN
ejpam-4586	309	6	,	,	PUNCT
ejpam-4586	309	7	a.	a.	NOUN
ejpam-4586	309	8	conseibo	conseibo	PROPN
ejpam-4586	309	9	/	/	SYM
ejpam-4586	309	10	eur	eur	PROPN
ejpam-4586	309	11	.	.	PUNCT
ejpam-4586	310	1	j.	j.	PROPN
ejpam-4586	310	2	pure	pure	PROPN
ejpam-4586	310	3	appl	appl	PROPN
ejpam-4586	310	4	.	.	PROPN
ejpam-4586	310	5	math	math	PROPN
ejpam-4586	310	6	,	,	PUNCT
ejpam-4586	310	7	15	15	NUM
ejpam-4586	310	8	(	(	PUNCT
ejpam-4586	310	9	4	4	NUM
ejpam-4586	310	10	)	)	PUNCT
ejpam-4586	310	11	(	(	PUNCT
ejpam-4586	310	12	2022	2022	NUM
ejpam-4586	310	13	)	)	PUNCT
ejpam-4586	310	14	,	,	PUNCT
ejpam-4586	310	15	1887	1887	NUM
ejpam-4586	310	16	-	-	SYM
ejpam-4586	310	17	1907	1907	NUM
ejpam-4586	310	18	1897	1897	NUM
ejpam-4586	310	19	γβ1	γβ1	NOUN
ejpam-4586	310	20	=	=	SYM
ejpam-4586	310	21	0	0	PROPN
ejpam-4586	310	22	.	.	PUNCT
ejpam-4586	311	1	(	(	PUNCT
ejpam-4586	311	2	16	16	NUM
ejpam-4586	311	3	)	)	PUNCT
ejpam-4586	311	4	the	the	DET
ejpam-4586	311	5	assertion	assertion	NOUN
ejpam-4586	311	6	(	(	PUNCT
ejpam-4586	311	7	vi	vi	NOUN
ejpam-4586	311	8	)	)	PUNCT
ejpam-4586	311	9	leads	lead	VERB
ejpam-4586	311	10	to	to	ADP
ejpam-4586	311	11	:	:	PUNCT
ejpam-4586	311	12	(	(	PUNCT
ejpam-4586	311	13	1−	1−	NUM
ejpam-4586	311	14	32λ)α0γ	32λ)α0γ	NUM
ejpam-4586	311	15	2e1	2e1	NUM
ejpam-4586	311	16	+	+	CCONJ
ejpam-4586	311	17	(	(	PUNCT
ejpam-4586	311	18	1−	1−	NUM
ejpam-4586	311	19	32λ)α1α1γ	32λ)α1α1γ	NUM
ejpam-4586	311	20	2e2	2e2	NUM
ejpam-4586	311	21	=	=	SYM
ejpam-4586	311	22	0	0	PROPN
ejpam-4586	311	23	,	,	PUNCT
ejpam-4586	311	24	so	so	ADV
ejpam-4586	311	25	:	:	PUNCT
ejpam-4586	311	26	α0γ	α0γ	NOUN
ejpam-4586	311	27	=	=	SYM
ejpam-4586	311	28	0	0	X
ejpam-4586	311	29	.	.	PUNCT
ejpam-4586	312	1	(	(	PUNCT
ejpam-4586	312	2	17	17	NUM
ejpam-4586	312	3	)	)	PUNCT
ejpam-4586	312	4	α1γ	α1γ	PUNCT
ejpam-4586	313	1	=	=	SYM
ejpam-4586	313	2	0	0	X
ejpam-4586	313	3	.	.	PUNCT
ejpam-4586	314	1	(	(	PUNCT
ejpam-4586	314	2	18	18	NUM
ejpam-4586	314	3	)	)	PUNCT
ejpam-4586	314	4	the	the	DET
ejpam-4586	314	5	assertion	assertion	NOUN
ejpam-4586	314	6	(	(	PUNCT
ejpam-4586	314	7	vii	vii	PROPN
ejpam-4586	314	8	)	)	PUNCT
ejpam-4586	314	9	leads	lead	VERB
ejpam-4586	314	10	to	to	ADP
ejpam-4586	314	11	:	:	PUNCT
ejpam-4586	314	12	2(1−	2(1−	NUM
ejpam-4586	314	13	λ)µγ1e1	λ)µγ1e1	SYM
ejpam-4586	314	14	=	=	SYM
ejpam-4586	314	15	0	0	PUNCT
ejpam-4586	314	16	thus	thus	ADV
ejpam-4586	314	17	:	:	PUNCT
ejpam-4586	314	18	µγ1	µγ1	NOUN
ejpam-4586	314	19	=	=	SYM
ejpam-4586	314	20	0	0	X
ejpam-4586	314	21	.	.	PUNCT
ejpam-4586	315	1	(	(	PUNCT
ejpam-4586	315	2	19	19	NUM
ejpam-4586	315	3	)	)	PUNCT
ejpam-4586	315	4	finally	finally	ADV
ejpam-4586	315	5	the	the	DET
ejpam-4586	315	6	assertion	assertion	NOUN
ejpam-4586	315	7	(	(	PUNCT
ejpam-4586	315	8	vii	vii	PROPN
ejpam-4586	315	9	)	)	PUNCT
ejpam-4586	315	10	allows	allow	VERB
ejpam-4586	315	11	to	to	PART
ejpam-4586	315	12	obtain	obtain	VERB
ejpam-4586	315	13	(	(	PUNCT
ejpam-4586	315	14	1−	1−	NUM
ejpam-4586	315	15	32λ)α0µ	32λ)α0µ	NUM
ejpam-4586	315	16	2e1	2e1	NUM
ejpam-4586	315	17	+	+	CCONJ
ejpam-4586	315	18	(	(	PUNCT
ejpam-4586	315	19	1−	1−	NUM
ejpam-4586	315	20	32λ)α1µ	32λ)α1µ	NUM
ejpam-4586	315	21	2e2	2e2	NUM
ejpam-4586	315	22	=	=	SYM
ejpam-4586	315	23	0	0	PROPN
ejpam-4586	316	1	so	so	ADV
ejpam-4586	316	2	:	:	PUNCT
ejpam-4586	316	3	α0µ	α0µ	NUM
ejpam-4586	316	4	=	=	SYM
ejpam-4586	316	5	0	0	X
ejpam-4586	316	6	.	.	PUNCT
ejpam-4586	317	1	(	(	PUNCT
ejpam-4586	317	2	20	20	NUM
ejpam-4586	317	3	)	)	PUNCT
ejpam-4586	317	4	α1µ	α1µ	PROPN
ejpam-4586	317	5	=	=	SYM
ejpam-4586	317	6	0	0	X
ejpam-4586	317	7	.	.	PUNCT
ejpam-4586	318	1	(	(	PUNCT
ejpam-4586	318	2	21	21	NUM
ejpam-4586	318	3	)	)	PUNCT
ejpam-4586	318	4	let	let	VERB
ejpam-4586	318	5	us	we	PRON
ejpam-4586	318	6	distinguish	distinguish	VERB
ejpam-4586	318	7	the	the	DET
ejpam-4586	318	8	following	follow	VERB
ejpam-4586	318	9	cases	case	NOUN
ejpam-4586	318	10	satisfying	satisfy	VERB
ejpam-4586	318	11	the	the	DET
ejpam-4586	318	12	preceding	precede	VERB
ejpam-4586	318	13	equalities	equality	NOUN
ejpam-4586	318	14	:	:	PUNCT
ejpam-4586	318	15	4.1	4.1	NUM
ejpam-4586	318	16	.	.	PUNCT
ejpam-4586	319	1	1st	1st	ADJ
ejpam-4586	319	2	case	case	NOUN
ejpam-4586	319	3	:	:	PUNCT
ejpam-4586	319	4	α0	α0	ADJ
ejpam-4586	319	5	̸=	̸=	PROPN
ejpam-4586	319	6	0	0	NUM
ejpam-4586	319	7	and	and	CCONJ
ejpam-4586	319	8	α1	α1	PROPN
ejpam-4586	319	9	=	=	SYM
ejpam-4586	319	10	0	0	PUNCT
ejpam-4586	319	11	then	then	ADV
ejpam-4586	319	12	γ	γ	PROPN
ejpam-4586	319	13	=	=	SYM
ejpam-4586	319	14	µ	µ	X
ejpam-4586	319	15	=	=	SYM
ejpam-4586	319	16	β0	β0	NOUN
ejpam-4586	319	17	=	=	NOUN
ejpam-4586	319	18	β1γ1	β1γ1	PUNCT
ejpam-4586	319	19	=	=	PUNCT
ejpam-4586	319	20	β1γ0	β1γ0	PUNCT
ejpam-4586	319	21	=	=	SYM
ejpam-4586	319	22	0	0	NUM
ejpam-4586	319	23	and	and	CCONJ
ejpam-4586	319	24	the	the	DET
ejpam-4586	319	25	multiplication	multiplication	NOUN
ejpam-4586	319	26	table	table	NOUN
ejpam-4586	319	27	of	of	ADP
ejpam-4586	319	28	a	a	PRON
ejpam-4586	319	29	is	be	AUX
ejpam-4586	319	30	:	:	PUNCT
ejpam-4586	319	31	e2	e2	PROPN
ejpam-4586	319	32	=	=	SYM
ejpam-4586	319	33	e	e	PROPN
ejpam-4586	319	34	,	,	PUNCT
ejpam-4586	319	35	ee0	ee0	X
ejpam-4586	319	36	=	=	PUNCT
ejpam-4586	319	37	1	1	NUM
ejpam-4586	319	38	2e0	2e0	NUM
ejpam-4586	319	39	,	,	PUNCT
ejpam-4586	319	40	ee1	ee1	NOUN
ejpam-4586	320	1	=	=	SYM
ejpam-4586	320	2	λe1	λe1	NOUN
ejpam-4586	320	3	,	,	PUNCT
ejpam-4586	320	4	ee2	ee2	NOUN
ejpam-4586	320	5	=	=	SYM
ejpam-4586	320	6	λe2	λe2	PROPN
ejpam-4586	320	7	,	,	PUNCT
ejpam-4586	320	8	e20	e20	NOUN
ejpam-4586	320	9	=	=	SYM
ejpam-4586	320	10	α0e1	α0e1	NOUN
ejpam-4586	320	11	,	,	PUNCT
ejpam-4586	320	12	e1e2	e1e2	X
ejpam-4586	320	13	=	=	SYM
ejpam-4586	320	14	ρe0	ρe0	NOUN
ejpam-4586	320	15	,	,	PUNCT
ejpam-4586	320	16	e0e1	e0e1	NOUN
ejpam-4586	320	17	=	=	SYM
ejpam-4586	320	18	β1e2	β1e2	PROPN
ejpam-4586	320	19	,	,	PUNCT
ejpam-4586	320	20	e0e2	e0e2	NOUN
ejpam-4586	320	21	=	=	SYM
ejpam-4586	320	22	γ0e0	γ0e0	X
ejpam-4586	320	23	+	+	X
ejpam-4586	320	24	γ1e1	γ1e1	X
ejpam-4586	320	25	.	.	PUNCT
ejpam-4586	320	26	i	i	PRON
ejpam-4586	320	27	)	)	PUNCT
ejpam-4586	321	1	β1	β1	PROPN
ejpam-4586	321	2	̸=	̸=	PROPN
ejpam-4586	321	3	0,γ1	0,γ1	NOUN
ejpam-4586	321	4	=	=	PUNCT
ejpam-4586	321	5	γ0	γ0	NOUN
ejpam-4586	321	6	=	=	SYM
ejpam-4586	321	7	0	0	NUM
ejpam-4586	321	8	,	,	PUNCT
ejpam-4586	321	9	ρ	ρ	NUM
ejpam-4586	321	10	̸=	̸=	PROPN
ejpam-4586	321	11	0	0	NUM
ejpam-4586	321	12	.	.	PUNCT
ejpam-4586	322	1	e2	e2	PROPN
ejpam-4586	322	2	=	=	PUNCT
ejpam-4586	322	3	e	e	PROPN
ejpam-4586	322	4	,	,	PUNCT
ejpam-4586	322	5	ee0	ee0	X
ejpam-4586	322	6	=	=	PUNCT
ejpam-4586	322	7	1	1	NUM
ejpam-4586	322	8	2e0	2e0	NUM
ejpam-4586	322	9	,	,	PUNCT
ejpam-4586	322	10	ee1	ee1	NOUN
ejpam-4586	322	11	=	=	SYM
ejpam-4586	322	12	λe1	λe1	NOUN
ejpam-4586	322	13	,	,	PUNCT
ejpam-4586	322	14	ee2	ee2	NOUN
ejpam-4586	322	15	=	=	SYM
ejpam-4586	322	16	λe2	λe2	PROPN
ejpam-4586	322	17	,	,	PUNCT
ejpam-4586	322	18	e20	e20	NOUN
ejpam-4586	322	19	=	=	SYM
ejpam-4586	322	20	e1	e1	PROPN
ejpam-4586	322	21	,	,	PUNCT
ejpam-4586	322	22	e1e2	e1e2	X
ejpam-4586	322	23	=	=	SYM
ejpam-4586	322	24	ρe0	ρe0	NOUN
ejpam-4586	322	25	where	where	SCONJ
ejpam-4586	322	26	e1	e1	NOUN
ejpam-4586	322	27	is	be	AUX
ejpam-4586	322	28	replaced	replace	VERB
ejpam-4586	322	29	by	by	ADP
ejpam-4586	322	30	α−1	α−1	PROPN
ejpam-4586	322	31	0	0	NUM
ejpam-4586	322	32	e1	e1	PROPN
ejpam-4586	322	33	and	and	CCONJ
ejpam-4586	322	34	e2	e2	PROPN
ejpam-4586	322	35	is	be	AUX
ejpam-4586	322	36	replaced	replace	VERB
ejpam-4586	322	37	by	by	ADP
ejpam-4586	322	38	α−1	α−1	PROPN
ejpam-4586	322	39	0	0	NUM
ejpam-4586	322	40	β−1	β−1	SYM
ejpam-4586	322	41	1	1	NUM
ejpam-4586	322	42	e2	e2	PROPN
ejpam-4586	322	43	.	.	PUNCT
ejpam-4586	323	1	a	a	DET
ejpam-4586	323	2	verifies	verifie	NOUN
ejpam-4586	323	3	the	the	DET
ejpam-4586	323	4	polynomial	polynomial	ADJ
ejpam-4586	323	5	identity	identity	NOUN
ejpam-4586	323	6	:	:	PUNCT
ejpam-4586	323	7	(	(	PUNCT
ejpam-4586	323	8	x2−2λ̄ω(x)x)3−(λ−2λ̄)ω(x)2(x2−2λ̄ω(x)x)2+(λ+2λ̄−2)ω(x)4(x2−2λ̄ω(x	x2−2λ̄ω(x)x)3−(λ−2λ̄)ω(x)2(x2−2λ̄ω(x)x)2+(λ+2λ̄−2)ω(x)4(x2−2λ̄ω(x	X
ejpam-4586	323	9	)	)	PUNCT
ejpam-4586	323	10	)	)	PUNCT
ejpam-4586	324	1	=	=	PUNCT
ejpam-4586	324	2	0	0	X
ejpam-4586	324	3	.	.	X
ejpam-4586	324	4	ii	ii	NOUN
ejpam-4586	324	5	)	)	PUNCT
ejpam-4586	324	6	β1	β1	PROPN
ejpam-4586	324	7	̸=	̸=	PROPN
ejpam-4586	324	8	0,γ1	0,γ1	NOUN
ejpam-4586	324	9	=	=	PUNCT
ejpam-4586	324	10	γ0	γ0	NOUN
ejpam-4586	324	11	=	=	SYM
ejpam-4586	324	12	ρ	ρ	PROPN
ejpam-4586	324	13	=	=	SYM
ejpam-4586	324	14	0	0	NUM
ejpam-4586	324	15	e2	e2	PROPN
ejpam-4586	324	16	=	=	SYM
ejpam-4586	324	17	e	e	PROPN
ejpam-4586	324	18	,	,	PUNCT
ejpam-4586	324	19	ee0	ee0	X
ejpam-4586	324	20	=	=	PUNCT
ejpam-4586	324	21	1	1	NUM
ejpam-4586	324	22	2e0	2e0	NUM
ejpam-4586	324	23	,	,	PUNCT
ejpam-4586	324	24	ee1	ee1	NOUN
ejpam-4586	324	25	=	=	SYM
ejpam-4586	324	26	λe1	λe1	NOUN
ejpam-4586	324	27	,	,	PUNCT
ejpam-4586	324	28	ee2	ee2	NOUN
ejpam-4586	324	29	=	=	SYM
ejpam-4586	324	30	λe2	λe2	PROPN
ejpam-4586	324	31	,	,	PUNCT
ejpam-4586	324	32	e20	e20	PROPN
ejpam-4586	324	33	=	=	SYM
ejpam-4586	324	34	e1	e1	PROPN
ejpam-4586	324	35	,	,	PUNCT
ejpam-4586	324	36	e1e2	e1e2	X
ejpam-4586	324	37	=	=	SYM
ejpam-4586	324	38	0	0	NUM
ejpam-4586	324	39	and	and	CCONJ
ejpam-4586	324	40	e0e1	e0e1	NOUN
ejpam-4586	324	41	=	=	PROPN
ejpam-4586	324	42	e2	e2	PROPN
ejpam-4586	324	43	,	,	PUNCT
ejpam-4586	324	44	where	where	SCONJ
ejpam-4586	324	45	e1	e1	NOUN
ejpam-4586	324	46	is	be	AUX
ejpam-4586	324	47	replaced	replace	VERB
ejpam-4586	324	48	by	by	ADP
ejpam-4586	324	49	α−1	α−1	PROPN
ejpam-4586	324	50	0	0	NUM
ejpam-4586	324	51	e1	e1	PROPN
ejpam-4586	324	52	and	and	CCONJ
ejpam-4586	324	53	e2	e2	NOUN
ejpam-4586	324	54	by	by	ADP
ejpam-4586	324	55	α−1	α−1	PROPN
ejpam-4586	324	56	0	0	NUM
ejpam-4586	324	57	β−1	β−1	SYM
ejpam-4586	324	58	1	1	NUM
ejpam-4586	324	59	e2	e2	PROPN
ejpam-4586	324	60	.	.	PUNCT
ejpam-4586	325	1	a	a	DET
ejpam-4586	325	2	verifies	verifie	NOUN
ejpam-4586	325	3	the	the	DET
ejpam-4586	325	4	identity	identity	NOUN
ejpam-4586	325	5	(	(	PUNCT
ejpam-4586	325	6	x2)2	x2)2	ADP
ejpam-4586	325	7	−	−	NUM
ejpam-4586	325	8	2ω(x)x3	2ω(x)x3	NUM
ejpam-4586	325	9	+	+	CCONJ
ejpam-4586	325	10	ω(x)2x2	ω(x)2x2	NOUN
ejpam-4586	325	11	=	=	SYM
ejpam-4586	325	12	0	0	X
ejpam-4586	325	13	.	.	X
ejpam-4586	325	14	iii	iii	X
ejpam-4586	325	15	)	)	PUNCT
ejpam-4586	325	16	β1	β1	NOUN
ejpam-4586	325	17	=	=	SYM
ejpam-4586	325	18	0	0	NUM
ejpam-4586	325	19	e2	e2	PROPN
ejpam-4586	325	20	=	=	SYM
ejpam-4586	325	21	e	e	PROPN
ejpam-4586	325	22	,	,	PUNCT
ejpam-4586	325	23	ee0	ee0	X
ejpam-4586	325	24	=	=	PUNCT
ejpam-4586	325	25	1	1	NUM
ejpam-4586	325	26	2e0	2e0	NUM
ejpam-4586	325	27	,	,	PUNCT
ejpam-4586	325	28	ee1	ee1	NOUN
ejpam-4586	326	1	=	=	SYM
ejpam-4586	326	2	λe1	λe1	NOUN
ejpam-4586	326	3	,	,	PUNCT
ejpam-4586	326	4	ee2	ee2	NOUN
ejpam-4586	326	5	=	=	SYM
ejpam-4586	326	6	λe2	λe2	PROPN
ejpam-4586	326	7	,	,	PUNCT
ejpam-4586	326	8	e20	e20	NOUN
ejpam-4586	326	9	=	=	SYM
ejpam-4586	326	10	e1	e1	PROPN
ejpam-4586	326	11	and	and	CCONJ
ejpam-4586	326	12	e1e2	e1e2	NOUN
ejpam-4586	326	13	=	=	SYM
ejpam-4586	326	14	ρe0	ρe0	NOUN
ejpam-4586	326	15	,	,	PUNCT
ejpam-4586	326	16	e0e1	e0e1	NOUN
ejpam-4586	326	17	=	=	NOUN
ejpam-4586	326	18	0	0	NUM
ejpam-4586	326	19	,	,	PUNCT
ejpam-4586	326	20	e0e2	e0e2	NOUN
ejpam-4586	326	21	=	=	SYM
ejpam-4586	326	22	γ0e0	γ0e0	X
ejpam-4586	326	23	+	+	X
ejpam-4586	326	24	γ1e1	γ1e1	NOUN
ejpam-4586	326	25	,	,	PUNCT
ejpam-4586	326	26	where	where	SCONJ
ejpam-4586	326	27	e1	e1	NOUN
ejpam-4586	326	28	is	be	AUX
ejpam-4586	326	29	replaced	replace	VERB
ejpam-4586	326	30	by	by	ADP
ejpam-4586	326	31	α−1	α−1	PROPN
ejpam-4586	326	32	0	0	NUM
ejpam-4586	326	33	e1	e1	PROPN
ejpam-4586	326	34	.	.	PUNCT
ejpam-4586	327	1	a	a	DET
ejpam-4586	327	2	verifies	verifie	NOUN
ejpam-4586	327	3	the	the	DET
ejpam-4586	327	4	identity	identity	NOUN
ejpam-4586	327	5	(	(	PUNCT
ejpam-4586	327	6	x2)2	x2)2	ADP
ejpam-4586	327	7	−	−	NUM
ejpam-4586	327	8	2ω(x)x3	2ω(x)x3	NUM
ejpam-4586	327	9	+	+	CCONJ
ejpam-4586	327	10	ω(x)2x2	ω(x)2x2	NOUN
ejpam-4586	327	11	=	=	SYM
ejpam-4586	327	12	0	0	X
ejpam-4586	327	13	.	.	PUNCT
ejpam-4586	327	14	w.	w.	PROPN
ejpam-4586	327	15	a.	a.	PROPN
ejpam-4586	327	16	zangre	zangre	PROPN
ejpam-4586	327	17	,	,	PUNCT
ejpam-4586	327	18	a.	a.	NOUN
ejpam-4586	327	19	conseibo	conseibo	PROPN
ejpam-4586	327	20	/	/	SYM
ejpam-4586	327	21	eur	eur	PROPN
ejpam-4586	327	22	.	.	PUNCT
ejpam-4586	328	1	j.	j.	PROPN
ejpam-4586	328	2	pure	pure	PROPN
ejpam-4586	328	3	appl	appl	PROPN
ejpam-4586	328	4	.	.	PROPN
ejpam-4586	328	5	math	math	PROPN
ejpam-4586	328	6	,	,	PUNCT
ejpam-4586	328	7	15	15	NUM
ejpam-4586	328	8	(	(	PUNCT
ejpam-4586	328	9	4	4	NUM
ejpam-4586	328	10	)	)	PUNCT
ejpam-4586	328	11	(	(	PUNCT
ejpam-4586	328	12	2022	2022	NUM
ejpam-4586	328	13	)	)	PUNCT
ejpam-4586	328	14	,	,	PUNCT
ejpam-4586	328	15	1887	1887	NUM
ejpam-4586	328	16	-	-	SYM
ejpam-4586	328	17	1907	1907	NUM
ejpam-4586	328	18	1898	1898	NUM
ejpam-4586	328	19	4.2	4.2	NUM
ejpam-4586	328	20	.	.	PUNCT
ejpam-4586	329	1	2nd	2nd	ADJ
ejpam-4586	329	2	case	case	NOUN
ejpam-4586	329	3	:	:	PUNCT
ejpam-4586	329	4	α0	α0	ADJ
ejpam-4586	329	5	̸=	̸=	PROPN
ejpam-4586	329	6	0	0	NUM
ejpam-4586	329	7	and	and	CCONJ
ejpam-4586	329	8	α1	α1	PROPN
ejpam-4586	329	9	̸=	̸=	PROPN
ejpam-4586	329	10	0	0	NUM
ejpam-4586	329	11	,	,	PUNCT
ejpam-4586	329	12	then	then	ADV
ejpam-4586	329	13	0	0	NUM
ejpam-4586	329	14	=	=	SYM
ejpam-4586	329	15	γ	γ	X
ejpam-4586	329	16	=	=	SYM
ejpam-4586	329	17	ρ	ρ	PROPN
ejpam-4586	329	18	=	=	SYM
ejpam-4586	329	19	µ	µ	X
ejpam-4586	329	20	=	=	PUNCT
ejpam-4586	329	21	β1γ1	β1γ1	NOUN
ejpam-4586	329	22	.	.	PUNCT
ejpam-4586	330	1	i	i	PROPN
ejpam-4586	330	2	)	)	PUNCT
ejpam-4586	330	3	β0	β0	PROPN
ejpam-4586	330	4	=	=	SYM
ejpam-4586	330	5	β1	β1	PROPN
ejpam-4586	330	6	=	=	SYM
ejpam-4586	330	7	γ0	γ0	PROPN
ejpam-4586	330	8	=	=	SYM
ejpam-4586	330	9	γ1	γ1	PROPN
ejpam-4586	330	10	=	=	SYM
ejpam-4586	330	11	0	0	NUM
ejpam-4586	330	12	.	.	PUNCT
ejpam-4586	331	1	the	the	DET
ejpam-4586	331	2	multiplication	multiplication	NOUN
ejpam-4586	331	3	table	table	NOUN
ejpam-4586	331	4	of	of	ADP
ejpam-4586	331	5	a	a	PRON
ejpam-4586	331	6	is	be	AUX
ejpam-4586	331	7	:	:	PUNCT
ejpam-4586	331	8	e2	e2	PROPN
ejpam-4586	331	9	=	=	SYM
ejpam-4586	331	10	e	e	PROPN
ejpam-4586	331	11	,	,	PUNCT
ejpam-4586	331	12	ee0	ee0	X
ejpam-4586	331	13	=	=	PUNCT
ejpam-4586	331	14	1	1	NUM
ejpam-4586	331	15	2e0	2e0	NUM
ejpam-4586	331	16	,	,	PUNCT
ejpam-4586	331	17	ee1	ee1	NOUN
ejpam-4586	332	1	=	=	SYM
ejpam-4586	332	2	λe1	λe1	NOUN
ejpam-4586	332	3	,	,	PUNCT
ejpam-4586	332	4	ee2	ee2	NOUN
ejpam-4586	332	5	=	=	SYM
ejpam-4586	332	6	λe2	λe2	PROPN
ejpam-4586	332	7	,	,	PUNCT
ejpam-4586	332	8	e20	e20	NOUN
ejpam-4586	332	9	=	=	SYM
ejpam-4586	332	10	e1	e1	PROPN
ejpam-4586	332	11	+	+	CCONJ
ejpam-4586	332	12	e2	e2	PROPN
ejpam-4586	332	13	.	.	PUNCT
ejpam-4586	333	1	where	where	SCONJ
ejpam-4586	333	2	e1	e1	NOUN
ejpam-4586	333	3	is	be	AUX
ejpam-4586	333	4	replaced	replace	VERB
ejpam-4586	333	5	by	by	ADP
ejpam-4586	333	6	α−1	α−1	PROPN
ejpam-4586	333	7	0	0	NUM
ejpam-4586	333	8	e1	e1	PROPN
ejpam-4586	333	9	et	et	PROPN
ejpam-4586	333	10	e2	e2	PROPN
ejpam-4586	333	11	par	par	PROPN
ejpam-4586	333	12	α−1	α−1	PROPN
ejpam-4586	333	13	1	1	NUM
ejpam-4586	333	14	e2	e2	PROPN
ejpam-4586	333	15	.	.	PUNCT
ejpam-4586	334	1	a	a	DET
ejpam-4586	334	2	verifies	verifie	NOUN
ejpam-4586	334	3	the	the	DET
ejpam-4586	334	4	polynomial	polynomial	ADJ
ejpam-4586	334	5	identity	identity	NOUN
ejpam-4586	334	6	:	:	PUNCT
ejpam-4586	334	7	x4	x4	PROPN
ejpam-4586	334	8	−	−	NOUN
ejpam-4586	334	9	1	1	NUM
ejpam-4586	334	10	2ω(x)x	2ω(x)x	NUM
ejpam-4586	334	11	3	3	NUM
ejpam-4586	334	12	−	−	NOUN
ejpam-4586	334	13	1	1	NUM
ejpam-4586	334	14	2ω(x	2ω(x	NUM
ejpam-4586	334	15	)	)	PUNCT
ejpam-4586	334	16	3x	3x	NOUN
ejpam-4586	335	1	=	=	SYM
ejpam-4586	335	2	0	0	X
ejpam-4586	335	3	.	.	X
ejpam-4586	335	4	ii	ii	PROPN
ejpam-4586	335	5	)	)	PUNCT
ejpam-4586	335	6	β0	β0	NOUN
ejpam-4586	335	7	=	=	SYM
ejpam-4586	335	8	γ0	γ0	PROPN
ejpam-4586	335	9	=	=	SYM
ejpam-4586	335	10	γ1	γ1	PROPN
ejpam-4586	335	11	=	=	SYM
ejpam-4586	335	12	0	0	PUNCT
ejpam-4586	335	13	and	and	CCONJ
ejpam-4586	335	14	β1	β1	PROPN
ejpam-4586	335	15	̸=	̸=	PROPN
ejpam-4586	335	16	0	0	NUM
ejpam-4586	335	17	.	.	PUNCT
ejpam-4586	336	1	the	the	DET
ejpam-4586	336	2	multiplication	multiplication	NOUN
ejpam-4586	336	3	table	table	NOUN
ejpam-4586	336	4	of	of	ADP
ejpam-4586	336	5	a	a	PRON
ejpam-4586	336	6	is	be	AUX
ejpam-4586	336	7	:	:	PUNCT
ejpam-4586	336	8	e2	e2	PROPN
ejpam-4586	336	9	=	=	SYM
ejpam-4586	336	10	e	e	PROPN
ejpam-4586	336	11	,	,	PUNCT
ejpam-4586	336	12	ee0	ee0	X
ejpam-4586	336	13	=	=	PUNCT
ejpam-4586	336	14	1	1	NUM
ejpam-4586	336	15	2e0	2e0	NUM
ejpam-4586	336	16	,	,	PUNCT
ejpam-4586	336	17	ee1	ee1	NOUN
ejpam-4586	337	1	=	=	SYM
ejpam-4586	337	2	λe1	λe1	NOUN
ejpam-4586	337	3	,	,	PUNCT
ejpam-4586	337	4	ee2	ee2	NOUN
ejpam-4586	337	5	=	=	SYM
ejpam-4586	337	6	λe2	λe2	PROPN
ejpam-4586	337	7	,	,	PUNCT
ejpam-4586	337	8	e20	e20	NOUN
ejpam-4586	337	9	=	=	SYM
ejpam-4586	337	10	e1	e1	PROPN
ejpam-4586	337	11	+	+	CCONJ
ejpam-4586	337	12	e2	e2	PROPN
ejpam-4586	337	13	,	,	PUNCT
ejpam-4586	337	14	e0e1	e0e1	NOUN
ejpam-4586	337	15	=	=	PROPN
ejpam-4586	337	16	e2	e2	PROPN
ejpam-4586	337	17	.	.	PUNCT
ejpam-4586	338	1	where	where	SCONJ
ejpam-4586	338	2	e1	e1	NOUN
ejpam-4586	338	3	is	be	AUX
ejpam-4586	338	4	replaced	replace	VERB
ejpam-4586	338	5	by	by	ADP
ejpam-4586	338	6	α−1	α−1	PROPN
ejpam-4586	338	7	0	0	NUM
ejpam-4586	338	8	e1	e1	PROPN
ejpam-4586	338	9	and	and	CCONJ
ejpam-4586	338	10	e2	e2	PROPN
ejpam-4586	338	11	by	by	ADP
ejpam-4586	338	12	α−1	α−1	PROPN
ejpam-4586	338	13	1	1	NUM
ejpam-4586	338	14	e2	e2	PROPN
ejpam-4586	338	15	.	.	PUNCT
ejpam-4586	339	1	a	a	DET
ejpam-4586	339	2	verifies	verifie	NOUN
ejpam-4586	339	3	the	the	DET
ejpam-4586	339	4	polynomial	polynomial	ADJ
ejpam-4586	339	5	identity	identity	NOUN
ejpam-4586	339	6	:	:	PUNCT
ejpam-4586	339	7	x4	x4	PROPN
ejpam-4586	339	8	−	−	NOUN
ejpam-4586	339	9	1	1	NUM
ejpam-4586	339	10	2ω(x)x	2ω(x)x	NUM
ejpam-4586	339	11	3	3	NUM
ejpam-4586	339	12	−	−	NOUN
ejpam-4586	339	13	1	1	NUM
ejpam-4586	339	14	2ω(x	2ω(x	NUM
ejpam-4586	339	15	)	)	PUNCT
ejpam-4586	339	16	3x	3x	NOUN
ejpam-4586	340	1	=	=	SYM
ejpam-4586	340	2	0	0	NUM
ejpam-4586	340	3	iii	iii	NOUN
ejpam-4586	340	4	)	)	PUNCT
ejpam-4586	340	5	β0	β0	NOUN
ejpam-4586	340	6	=	=	SYM
ejpam-4586	340	7	γ0	γ0	PROPN
ejpam-4586	340	8	=	=	SYM
ejpam-4586	340	9	β1	β1	PROPN
ejpam-4586	340	10	=	=	SYM
ejpam-4586	340	11	0	0	NUM
ejpam-4586	340	12	and	and	CCONJ
ejpam-4586	340	13	γ1	γ1	PROPN
ejpam-4586	340	14	̸=	̸=	PROPN
ejpam-4586	340	15	0	0	NUM
ejpam-4586	340	16	.	.	PUNCT
ejpam-4586	341	1	the	the	DET
ejpam-4586	341	2	multiplication	multiplication	NOUN
ejpam-4586	341	3	table	table	NOUN
ejpam-4586	341	4	of	of	ADP
ejpam-4586	341	5	a	a	PRON
ejpam-4586	341	6	is	be	AUX
ejpam-4586	341	7	:	:	PUNCT
ejpam-4586	341	8	e2	e2	PROPN
ejpam-4586	341	9	=	=	SYM
ejpam-4586	341	10	e	e	PROPN
ejpam-4586	341	11	,	,	PUNCT
ejpam-4586	341	12	ee0	ee0	X
ejpam-4586	341	13	=	=	PUNCT
ejpam-4586	341	14	1	1	NUM
ejpam-4586	341	15	2e0	2e0	NUM
ejpam-4586	341	16	,	,	PUNCT
ejpam-4586	341	17	ee1	ee1	NOUN
ejpam-4586	342	1	=	=	SYM
ejpam-4586	342	2	λe1	λe1	NOUN
ejpam-4586	342	3	,	,	PUNCT
ejpam-4586	342	4	ee2	ee2	NOUN
ejpam-4586	342	5	=	=	SYM
ejpam-4586	342	6	λe2	λe2	PROPN
ejpam-4586	342	7	,	,	PUNCT
ejpam-4586	342	8	e20	e20	NOUN
ejpam-4586	342	9	=	=	SYM
ejpam-4586	342	10	e1	e1	PROPN
ejpam-4586	342	11	+	+	CCONJ
ejpam-4586	342	12	e2	e2	PROPN
ejpam-4586	342	13	,	,	PUNCT
ejpam-4586	342	14	e0e2	e0e2	NOUN
ejpam-4586	342	15	=	=	SYM
ejpam-4586	342	16	e1	e1	NOUN
ejpam-4586	342	17	.	.	PUNCT
ejpam-4586	343	1	where	where	SCONJ
ejpam-4586	343	2	e1	e1	NOUN
ejpam-4586	343	3	is	be	AUX
ejpam-4586	343	4	replaced	replace	VERB
ejpam-4586	343	5	by	by	ADP
ejpam-4586	343	6	α−1	α−1	PROPN
ejpam-4586	343	7	0	0	NUM
ejpam-4586	343	8	e1	e1	PROPN
ejpam-4586	343	9	and	and	CCONJ
ejpam-4586	343	10	e2	e2	PROPN
ejpam-4586	343	11	by	by	ADP
ejpam-4586	343	12	α−1	α−1	PROPN
ejpam-4586	343	13	1	1	NUM
ejpam-4586	343	14	e2	e2	PROPN
ejpam-4586	343	15	,	,	PUNCT
ejpam-4586	343	16	so	so	SCONJ
ejpam-4586	343	17	a	a	DET
ejpam-4586	343	18	verifies	verifie	NOUN
ejpam-4586	343	19	the	the	DET
ejpam-4586	343	20	polynomial	polynomial	ADJ
ejpam-4586	343	21	identity	identity	NOUN
ejpam-4586	343	22	:	:	PUNCT
ejpam-4586	343	23	(	(	PUNCT
ejpam-4586	343	24	x2−2λ̄ω(x)x)3−	x2−2λ̄ω(x)x)3−	PUNCT
ejpam-4586	343	25	(	(	PUNCT
ejpam-4586	343	26	1+λ)ω(x)2(x2−	1+λ)ω(x)2(x2−	NOUN
ejpam-4586	343	27	2λ̄ω(x)x)2	2λ̄ω(x)x)2	NUM
ejpam-4586	344	1	+	+	CCONJ
ejpam-4586	344	2	λω(x)4(x2	λω(x)4(x2	ADP
ejpam-4586	344	3	−	−	NOUN
ejpam-4586	344	4	2λ̄ω(x	2λ̄ω(x	NUM
ejpam-4586	344	5	)	)	PUNCT
ejpam-4586	344	6	)	)	PUNCT
ejpam-4586	345	1	=	=	PUNCT
ejpam-4586	345	2	0	0	X
ejpam-4586	345	3	.	.	X
ejpam-4586	346	1	4.3	4.3	NUM
ejpam-4586	346	2	.	.	PUNCT
ejpam-4586	347	1	3rd	3rd	ADJ
ejpam-4586	347	2	case	case	NOUN
ejpam-4586	347	3	:	:	PUNCT
ejpam-4586	347	4	α0	α0	ADJ
ejpam-4586	347	5	=	=	SYM
ejpam-4586	347	6	0	0	NUM
ejpam-4586	347	7	and	and	CCONJ
ejpam-4586	347	8	α1	α1	PROPN
ejpam-4586	347	9	̸=	̸=	PROPN
ejpam-4586	347	10	0	0	NUM
ejpam-4586	347	11	.	.	PUNCT
ejpam-4586	348	1	then	then	ADV
ejpam-4586	348	2	µ	µ	X
ejpam-4586	348	3	=	=	SYM
ejpam-4586	348	4	γ	γ	X
ejpam-4586	348	5	=	=	SYM
ejpam-4586	348	6	γ0	γ0	PROPN
ejpam-4586	348	7	=	=	PUNCT
ejpam-4586	348	8	β1γ1	β1γ1	PUNCT
ejpam-4586	349	1	=	=	PUNCT
ejpam-4586	349	2	β0γ1	β0γ1	PUNCT
ejpam-4586	349	3	=	=	SYM
ejpam-4586	349	4	0	0	NUM
ejpam-4586	349	5	,	,	PUNCT
ejpam-4586	349	6	so	so	CCONJ
ejpam-4586	349	7	the	the	DET
ejpam-4586	349	8	multiplication	multiplication	NOUN
ejpam-4586	349	9	table	table	NOUN
ejpam-4586	349	10	of	of	ADP
ejpam-4586	349	11	a	a	PRON
ejpam-4586	349	12	is	be	AUX
ejpam-4586	349	13	:	:	PUNCT
ejpam-4586	349	14	e2	e2	PROPN
ejpam-4586	349	15	=	=	SYM
ejpam-4586	349	16	e	e	PROPN
ejpam-4586	349	17	,	,	PUNCT
ejpam-4586	349	18	ee0	ee0	X
ejpam-4586	349	19	=	=	PUNCT
ejpam-4586	349	20	1	1	NUM
ejpam-4586	349	21	2e0	2e0	NUM
ejpam-4586	349	22	,	,	PUNCT
ejpam-4586	349	23	ee1	ee1	NOUN
ejpam-4586	350	1	=	=	SYM
ejpam-4586	350	2	λe1	λe1	NOUN
ejpam-4586	350	3	,	,	PUNCT
ejpam-4586	350	4	ee2	ee2	NOUN
ejpam-4586	350	5	=	=	SYM
ejpam-4586	350	6	λe2	λe2	PROPN
ejpam-4586	350	7	,	,	PUNCT
ejpam-4586	350	8	e20	e20	NOUN
ejpam-4586	350	9	=	=	SYM
ejpam-4586	350	10	α1e2	α1e2	NOUN
ejpam-4586	350	11	,	,	PUNCT
ejpam-4586	350	12	e21	e21	PROPN
ejpam-4586	350	13	=	=	SYM
ejpam-4586	350	14	0	0	NUM
ejpam-4586	350	15	,	,	PUNCT
ejpam-4586	350	16	e22	e22	X
ejpam-4586	350	17	=	=	SYM
ejpam-4586	350	18	0	0	NUM
ejpam-4586	350	19	,	,	PUNCT
ejpam-4586	350	20	e1e2	e1e2	X
ejpam-4586	350	21	=	=	SYM
ejpam-4586	350	22	ρe0	ρe0	NOUN
ejpam-4586	350	23	,	,	PUNCT
ejpam-4586	350	24	e0e1	e0e1	NOUN
ejpam-4586	350	25	=	=	SYM
ejpam-4586	350	26	β0e0+β1e2	β0e0+β1e2	PROPN
ejpam-4586	350	27	,	,	PUNCT
ejpam-4586	350	28	e0e2	e0e2	NOUN
ejpam-4586	350	29	=	=	SYM
ejpam-4586	350	30	γ1e1	γ1e1	NOUN
ejpam-4586	350	31	.	.	NOUN
ejpam-4586	351	1	we	we	PRON
ejpam-4586	351	2	distinguish	distinguish	VERB
ejpam-4586	351	3	the	the	DET
ejpam-4586	351	4	algebras	algebra	NOUN
ejpam-4586	351	5	whose	whose	DET
ejpam-4586	351	6	multiplication	multiplication	NOUN
ejpam-4586	351	7	tables	table	NOUN
ejpam-4586	351	8	are	be	AUX
ejpam-4586	351	9	:	:	PUNCT
ejpam-4586	351	10	i	i	NOUN
ejpam-4586	351	11	)	)	PUNCT
ejpam-4586	351	12	γ1	γ1	NOUN
ejpam-4586	351	13	̸=	̸=	PROPN
ejpam-4586	351	14	0	0	NUM
ejpam-4586	351	15	,	,	PUNCT
ejpam-4586	351	16	then	then	ADV
ejpam-4586	351	17	β0	β0	PROPN
ejpam-4586	351	18	=	=	SYM
ejpam-4586	351	19	β1	β1	PROPN
ejpam-4586	351	20	=	=	PUNCT
ejpam-4586	351	21	0	0	PUNCT
ejpam-4586	351	22	and	and	CCONJ
ejpam-4586	351	23	e2	e2	PROPN
ejpam-4586	351	24	=	=	SYM
ejpam-4586	351	25	e	e	PROPN
ejpam-4586	351	26	,	,	PUNCT
ejpam-4586	351	27	ee0	ee0	X
ejpam-4586	351	28	=	=	PUNCT
ejpam-4586	351	29	1	1	NUM
ejpam-4586	351	30	2e0	2e0	NUM
ejpam-4586	351	31	,	,	PUNCT
ejpam-4586	351	32	ee1	ee1	NOUN
ejpam-4586	352	1	=	=	SYM
ejpam-4586	352	2	λe1	λe1	NOUN
ejpam-4586	352	3	,	,	PUNCT
ejpam-4586	352	4	ee2	ee2	NOUN
ejpam-4586	352	5	=	=	SYM
ejpam-4586	352	6	λe2	λe2	PROPN
ejpam-4586	352	7	,	,	PUNCT
ejpam-4586	352	8	e20	e20	NOUN
ejpam-4586	352	9	=	=	SYM
ejpam-4586	352	10	α1e2	α1e2	NOUN
ejpam-4586	352	11	,	,	PUNCT
ejpam-4586	352	12	e21	e21	PROPN
ejpam-4586	352	13	=	=	SYM
ejpam-4586	352	14	0	0	NUM
ejpam-4586	352	15	,	,	PUNCT
ejpam-4586	352	16	e22	e22	X
ejpam-4586	352	17	=	=	SYM
ejpam-4586	352	18	0	0	NUM
ejpam-4586	352	19	,	,	PUNCT
ejpam-4586	352	20	e1e2	e1e2	X
ejpam-4586	352	21	=	=	SYM
ejpam-4586	352	22	ρe0	ρe0	NOUN
ejpam-4586	352	23	,	,	PUNCT
ejpam-4586	352	24	e0e1	e0e1	NOUN
ejpam-4586	352	25	=	=	NOUN
ejpam-4586	352	26	0	0	NUM
ejpam-4586	352	27	,	,	PUNCT
ejpam-4586	352	28	e0e2	e0e2	NOUN
ejpam-4586	352	29	=	=	SYM
ejpam-4586	352	30	γ1e1	γ1e1	NOUN
ejpam-4586	352	31	.	.	NOUN
ejpam-4586	353	1	we	we	PRON
ejpam-4586	353	2	can	can	AUX
ejpam-4586	353	3	set	set	VERB
ejpam-4586	353	4	α1	α1	PROPN
ejpam-4586	353	5	=	=	SYM
ejpam-4586	353	6	γ1	γ1	NOUN
ejpam-4586	353	7	=	=	NOUN
ejpam-4586	353	8	1	1	X
ejpam-4586	353	9	.	.	PUNCT
ejpam-4586	354	1	if	if	SCONJ
ejpam-4586	354	2	ρ	ρ	PROPN
ejpam-4586	354	3	=	=	SYM
ejpam-4586	354	4	0	0	PROPN
ejpam-4586	354	5	,	,	PUNCT
ejpam-4586	354	6	a	a	DET
ejpam-4586	354	7	verifies	verifie	NOUN
ejpam-4586	354	8	the	the	DET
ejpam-4586	354	9	polynomial	polynomial	ADJ
ejpam-4586	354	10	identity	identity	NOUN
ejpam-4586	354	11	(	(	PUNCT
ejpam-4586	354	12	x2)2	x2)2	ADP
ejpam-4586	354	13	−	−	NUM
ejpam-4586	354	14	2ω(x)x3	2ω(x)x3	NUM
ejpam-4586	354	15	+	+	CCONJ
ejpam-4586	354	16	ω(x)2x2	ω(x)2x2	NOUN
ejpam-4586	354	17	=	=	SYM
ejpam-4586	354	18	0	0	NUM
ejpam-4586	354	19	ii	ii	NOUN
ejpam-4586	354	20	)	)	PUNCT
ejpam-4586	354	21	γ1	γ1	NOUN
ejpam-4586	354	22	=	=	SYM
ejpam-4586	354	23	β1	β1	PROPN
ejpam-4586	354	24	=	=	PUNCT
ejpam-4586	354	25	β0	β0	PROPN
ejpam-4586	354	26	=	=	SYM
ejpam-4586	354	27	0	0	PROPN
ejpam-4586	354	28	,	,	PUNCT
ejpam-4586	354	29	then	then	ADV
ejpam-4586	354	30	e2	e2	PROPN
ejpam-4586	354	31	=	=	SYM
ejpam-4586	354	32	e	e	PROPN
ejpam-4586	354	33	,	,	PUNCT
ejpam-4586	354	34	ee0	ee0	X
ejpam-4586	354	35	=	=	PUNCT
ejpam-4586	354	36	1	1	NUM
ejpam-4586	354	37	2e0	2e0	NUM
ejpam-4586	354	38	,	,	PUNCT
ejpam-4586	354	39	ee1	ee1	NOUN
ejpam-4586	354	40	=	=	SYM
ejpam-4586	354	41	λe1	λe1	NOUN
ejpam-4586	354	42	,	,	PUNCT
ejpam-4586	354	43	ee2	ee2	NOUN
ejpam-4586	354	44	=	=	SYM
ejpam-4586	354	45	λe2	λe2	PROPN
ejpam-4586	354	46	,	,	PUNCT
ejpam-4586	354	47	e20	e20	NOUN
ejpam-4586	354	48	=	=	SYM
ejpam-4586	354	49	α1e2	α1e2	NOUN
ejpam-4586	354	50	,	,	PUNCT
ejpam-4586	354	51	e21	e21	PROPN
ejpam-4586	354	52	=	=	SYM
ejpam-4586	354	53	0	0	NUM
ejpam-4586	354	54	,	,	PUNCT
ejpam-4586	354	55	e22	e22	X
ejpam-4586	354	56	=	=	SYM
ejpam-4586	354	57	0	0	NUM
ejpam-4586	354	58	,	,	PUNCT
ejpam-4586	354	59	e1e2	e1e2	X
ejpam-4586	354	60	=	=	SYM
ejpam-4586	354	61	ρe0	ρe0	NOUN
ejpam-4586	354	62	,	,	PUNCT
ejpam-4586	354	63	e0e1	e0e1	NOUN
ejpam-4586	354	64	=	=	NOUN
ejpam-4586	354	65	0	0	NUM
ejpam-4586	354	66	,	,	PUNCT
ejpam-4586	354	67	e0e2	e0e2	NOUN
ejpam-4586	354	68	=	=	SYM
ejpam-4586	354	69	0	0	NUM
ejpam-4586	354	70	.	.	PUNCT
ejpam-4586	355	1	we	we	PRON
ejpam-4586	355	2	can	can	AUX
ejpam-4586	355	3	set	set	VERB
ejpam-4586	355	4	α1	α1	PROPN
ejpam-4586	355	5	=	=	SYM
ejpam-4586	355	6	1	1	NUM
ejpam-4586	355	7	and	and	CCONJ
ejpam-4586	355	8	a	a	DET
ejpam-4586	355	9	verifies	verifie	NOUN
ejpam-4586	355	10	the	the	DET
ejpam-4586	355	11	polynomial	polynomial	ADJ
ejpam-4586	355	12	identity	identity	NOUN
ejpam-4586	355	13	:	:	PUNCT
ejpam-4586	355	14	(	(	PUNCT
ejpam-4586	355	15	x2	x2	INTJ
ejpam-4586	355	16	−	−	PROPN
ejpam-4586	355	17	2λω(x)x)3	2λω(x)x)3	NUM
ejpam-4586	355	18	−	−	PROPN
ejpam-4586	355	19	(	(	PUNCT
ejpam-4586	355	20	λ̄−	λ̄−	PROPN
ejpam-4586	355	21	2λ)ω(x)2(x2	2λ)ω(x)2(x2	NOUN
ejpam-4586	355	22	−	−	NOUN
ejpam-4586	355	23	2λω(x)x)2	2λω(x)x)2	NOUN
ejpam-4586	355	24	+	+	CCONJ
ejpam-4586	355	25	(	(	PUNCT
ejpam-4586	355	26	λ̄+	λ̄+	NUM
ejpam-4586	355	27	2λ−	2λ−	NUM
ejpam-4586	355	28	2)ω(x)4(x2	2)ω(x)4(x2	NOUN
ejpam-4586	355	29	−	−	PROPN
ejpam-4586	355	30	2λω(x	2λω(x	NUM
ejpam-4586	355	31	)	)	PUNCT
ejpam-4586	355	32	)	)	PUNCT
ejpam-4586	356	1	=	=	PUNCT
ejpam-4586	356	2	0	0	X
ejpam-4586	356	3	.	.	X
ejpam-4586	356	4	iii	iii	X
ejpam-4586	356	5	)	)	PUNCT
ejpam-4586	356	6	γ1	γ1	NOUN
ejpam-4586	356	7	=	=	SYM
ejpam-4586	356	8	0	0	NUM
ejpam-4586	356	9	,	,	PUNCT
ejpam-4586	356	10	β1β0	β1β0	VERB
ejpam-4586	356	11	̸=	̸=	PROPN
ejpam-4586	356	12	0	0	NUM
ejpam-4586	356	13	,	,	PUNCT
ejpam-4586	356	14	e2	e2	PROPN
ejpam-4586	356	15	=	=	SYM
ejpam-4586	356	16	e	e	PROPN
ejpam-4586	356	17	,	,	PUNCT
ejpam-4586	356	18	ee0	ee0	X
ejpam-4586	356	19	=	=	PUNCT
ejpam-4586	356	20	1	1	NUM
ejpam-4586	356	21	2e0	2e0	NUM
ejpam-4586	356	22	,	,	PUNCT
ejpam-4586	356	23	ee1	ee1	NOUN
ejpam-4586	357	1	=	=	SYM
ejpam-4586	357	2	λe1	λe1	NOUN
ejpam-4586	357	3	,	,	PUNCT
ejpam-4586	357	4	ee2	ee2	NOUN
ejpam-4586	357	5	=	=	SYM
ejpam-4586	357	6	λe2	λe2	PROPN
ejpam-4586	357	7	,	,	PUNCT
ejpam-4586	357	8	e20	e20	NOUN
ejpam-4586	357	9	=	=	SYM
ejpam-4586	357	10	α1e2	α1e2	NOUN
ejpam-4586	357	11	,	,	PUNCT
ejpam-4586	357	12	e21	e21	PROPN
ejpam-4586	357	13	=	=	SYM
ejpam-4586	357	14	0	0	NUM
ejpam-4586	357	15	,	,	PUNCT
ejpam-4586	357	16	e22	e22	X
ejpam-4586	357	17	=	=	SYM
ejpam-4586	357	18	0	0	NUM
ejpam-4586	357	19	,	,	PUNCT
ejpam-4586	357	20	e1e2	e1e2	X
ejpam-4586	357	21	=	=	SYM
ejpam-4586	357	22	ρe0	ρe0	NOUN
ejpam-4586	357	23	,	,	PUNCT
ejpam-4586	357	24	e0e1	e0e1	NOUN
ejpam-4586	357	25	=	=	NOUN
ejpam-4586	357	26	β0e0	β0e0	PUNCT
ejpam-4586	357	27	+	+	CCONJ
ejpam-4586	357	28	β1e2	β1e2	NOUN
ejpam-4586	357	29	,	,	PUNCT
ejpam-4586	357	30	e0e2	e0e2	NOUN
ejpam-4586	357	31	=	=	SYM
ejpam-4586	357	32	0	0	NUM
ejpam-4586	357	33	.	.	PUNCT
ejpam-4586	358	1	we	we	PRON
ejpam-4586	358	2	can	can	AUX
ejpam-4586	358	3	set	set	VERB
ejpam-4586	358	4	α1	α1	PROPN
ejpam-4586	358	5	=	=	SYM
ejpam-4586	358	6	1	1	NUM
ejpam-4586	358	7	and	and	CCONJ
ejpam-4586	358	8	a	a	DET
ejpam-4586	358	9	verifies	verifie	NOUN
ejpam-4586	358	10	the	the	DET
ejpam-4586	358	11	polynomial	polynomial	ADJ
ejpam-4586	358	12	identity	identity	NOUN
ejpam-4586	358	13	:	:	PUNCT
ejpam-4586	358	14	(	(	PUNCT
ejpam-4586	358	15	x2	x2	INTJ
ejpam-4586	358	16	−	−	PROPN
ejpam-4586	358	17	2λω(x)x)3	2λω(x)x)3	NUM
ejpam-4586	358	18	−	−	PROPN
ejpam-4586	358	19	(	(	PUNCT
ejpam-4586	358	20	λ̄	λ̄	ADP
ejpam-4586	358	21	−	−	NUM
ejpam-4586	358	22	2λ)ω(x)2(x2	2λ)ω(x)2(x2	NOUN
ejpam-4586	358	23	−	−	NOUN
ejpam-4586	358	24	2λω(x)x)2	2λω(x)x)2	NOUN
ejpam-4586	358	25	+	+	CCONJ
ejpam-4586	358	26	(	(	PUNCT
ejpam-4586	358	27	λ̄	λ̄	X
ejpam-4586	358	28	+	+	NUM
ejpam-4586	358	29	2λ	2λ	NUM
ejpam-4586	358	30	−	−	NOUN
ejpam-4586	358	31	2)ω(x)4(x2	2)ω(x)4(x2	NOUN
ejpam-4586	358	32	−	−	PROPN
ejpam-4586	358	33	2λω(x	2λω(x	NUM
ejpam-4586	358	34	)	)	PUNCT
ejpam-4586	358	35	)	)	PUNCT
ejpam-4586	359	1	=	=	PUNCT
ejpam-4586	359	2	0	0	X
ejpam-4586	359	3	.	.	NOUN
ejpam-4586	359	4	iv	iv	X
ejpam-4586	359	5	)	)	PUNCT
ejpam-4586	359	6	γ1	γ1	NOUN
ejpam-4586	359	7	=	=	SYM
ejpam-4586	359	8	β1	β1	PROPN
ejpam-4586	359	9	=	=	SYM
ejpam-4586	359	10	0	0	NUM
ejpam-4586	359	11	,	,	PUNCT
ejpam-4586	359	12	β0	β0	NOUN
ejpam-4586	359	13	̸=	̸=	PROPN
ejpam-4586	359	14	0,e2	0,e2	NUM
ejpam-4586	360	1	=	=	SYM
ejpam-4586	360	2	e	e	PROPN
ejpam-4586	360	3	,	,	PUNCT
ejpam-4586	360	4	ee0	ee0	X
ejpam-4586	360	5	=	=	PUNCT
ejpam-4586	360	6	1	1	NUM
ejpam-4586	360	7	2e0	2e0	NUM
ejpam-4586	360	8	,	,	PUNCT
ejpam-4586	360	9	ee1	ee1	NOUN
ejpam-4586	360	10	=	=	SYM
ejpam-4586	360	11	λe1	λe1	NOUN
ejpam-4586	360	12	,	,	PUNCT
ejpam-4586	360	13	ee2	ee2	NOUN
ejpam-4586	360	14	=	=	SYM
ejpam-4586	360	15	λe2	λe2	PROPN
ejpam-4586	360	16	,	,	PUNCT
ejpam-4586	360	17	e20	e20	NOUN
ejpam-4586	360	18	=	=	SYM
ejpam-4586	360	19	α1e2	α1e2	NOUN
ejpam-4586	360	20	,	,	PUNCT
ejpam-4586	360	21	e21	e21	PROPN
ejpam-4586	360	22	=	=	SYM
ejpam-4586	360	23	0	0	NUM
ejpam-4586	360	24	,	,	PUNCT
ejpam-4586	360	25	e22	e22	X
ejpam-4586	360	26	=	=	SYM
ejpam-4586	360	27	0	0	NUM
ejpam-4586	360	28	,	,	PUNCT
ejpam-4586	360	29	e1e2	e1e2	X
ejpam-4586	360	30	=	=	SYM
ejpam-4586	360	31	ρe0	ρe0	NOUN
ejpam-4586	360	32	,	,	PUNCT
ejpam-4586	360	33	e0e1	e0e1	NOUN
ejpam-4586	360	34	=	=	SYM
ejpam-4586	360	35	β0e0	β0e0	X
ejpam-4586	360	36	,	,	PUNCT
ejpam-4586	360	37	e0e2	e0e2	NOUN
ejpam-4586	360	38	=	=	SYM
ejpam-4586	360	39	0	0	NUM
ejpam-4586	360	40	.	.	PUNCT
ejpam-4586	361	1	we	we	PRON
ejpam-4586	361	2	can	can	AUX
ejpam-4586	361	3	set	set	VERB
ejpam-4586	361	4	α1	α1	PROPN
ejpam-4586	361	5	=	=	SYM
ejpam-4586	361	6	β0	β0	NOUN
ejpam-4586	361	7	=	=	SYM
ejpam-4586	361	8	1	1	NUM
ejpam-4586	361	9	and	and	CCONJ
ejpam-4586	361	10	a	a	DET
ejpam-4586	361	11	verifies	verifie	NOUN
ejpam-4586	361	12	the	the	DET
ejpam-4586	361	13	polynomial	polynomial	ADJ
ejpam-4586	361	14	identity	identity	NOUN
ejpam-4586	361	15	:	:	PUNCT
ejpam-4586	361	16	(	(	PUNCT
ejpam-4586	361	17	x2	x2	INTJ
ejpam-4586	361	18	−	−	PROPN
ejpam-4586	361	19	2λω(x)x)3	2λω(x)x)3	NUM
ejpam-4586	361	20	−	−	PROPN
ejpam-4586	361	21	(	(	PUNCT
ejpam-4586	361	22	λ̄	λ̄	ADP
ejpam-4586	361	23	−	−	NUM
ejpam-4586	361	24	2λ)ω(x)2(x2	2λ)ω(x)2(x2	NOUN
ejpam-4586	361	25	−	−	NOUN
ejpam-4586	361	26	2λω(x)x)2	2λω(x)x)2	NOUN
ejpam-4586	361	27	+	+	CCONJ
ejpam-4586	361	28	(	(	PUNCT
ejpam-4586	361	29	λ̄	λ̄	X
ejpam-4586	361	30	+	+	NUM
ejpam-4586	361	31	2λ	2λ	NUM
ejpam-4586	361	32	−	−	NOUN
ejpam-4586	361	33	2)ω(x)4(x2	2)ω(x)4(x2	NOUN
ejpam-4586	361	34	−	−	PROPN
ejpam-4586	361	35	2λω(x	2λω(x	NUM
ejpam-4586	361	36	)	)	PUNCT
ejpam-4586	361	37	)	)	PUNCT
ejpam-4586	362	1	=	=	PUNCT
ejpam-4586	362	2	0	0	X
ejpam-4586	362	3	.	.	PUNCT
ejpam-4586	362	4	v	v	NOUN
ejpam-4586	362	5	)	)	PUNCT
ejpam-4586	362	6	γ1	γ1	NOUN
ejpam-4586	362	7	=	=	SYM
ejpam-4586	362	8	β0	β0	PROPN
ejpam-4586	362	9	=	=	SYM
ejpam-4586	362	10	0	0	NUM
ejpam-4586	362	11	,	,	PUNCT
ejpam-4586	362	12	β1	β1	PROPN
ejpam-4586	362	13	̸=	̸=	PROPN
ejpam-4586	362	14	0	0	NUM
ejpam-4586	362	15	,	,	PUNCT
ejpam-4586	362	16	e2	e2	PROPN
ejpam-4586	362	17	=	=	SYM
ejpam-4586	362	18	e	e	PROPN
ejpam-4586	362	19	,	,	PUNCT
ejpam-4586	362	20	ee0	ee0	X
ejpam-4586	362	21	=	=	PUNCT
ejpam-4586	362	22	1	1	NUM
ejpam-4586	362	23	2e0	2e0	NUM
ejpam-4586	362	24	,	,	PUNCT
ejpam-4586	362	25	ee1	ee1	NOUN
ejpam-4586	363	1	=	=	SYM
ejpam-4586	363	2	λe1	λe1	NOUN
ejpam-4586	363	3	,	,	PUNCT
ejpam-4586	363	4	ee2	ee2	NOUN
ejpam-4586	363	5	=	=	SYM
ejpam-4586	363	6	λe2	λe2	PROPN
ejpam-4586	363	7	,	,	PUNCT
ejpam-4586	363	8	e20	e20	NOUN
ejpam-4586	363	9	=	=	SYM
ejpam-4586	363	10	α1e2	α1e2	NOUN
ejpam-4586	363	11	,	,	PUNCT
ejpam-4586	363	12	e21	e21	PROPN
ejpam-4586	363	13	=	=	SYM
ejpam-4586	363	14	0	0	NUM
ejpam-4586	363	15	,	,	PUNCT
ejpam-4586	363	16	e22	e22	X
ejpam-4586	363	17	=	=	SYM
ejpam-4586	363	18	0	0	NUM
ejpam-4586	363	19	,	,	PUNCT
ejpam-4586	363	20	e1e2	e1e2	X
ejpam-4586	363	21	=	=	SYM
ejpam-4586	363	22	ρe0	ρe0	NOUN
ejpam-4586	363	23	,	,	PUNCT
ejpam-4586	363	24	e0e1	e0e1	NOUN
ejpam-4586	363	25	=	=	SYM
ejpam-4586	363	26	β1e2	β1e2	PROPN
ejpam-4586	363	27	,	,	PUNCT
ejpam-4586	363	28	e0e2	e0e2	NOUN
ejpam-4586	363	29	=	=	NOUN
ejpam-4586	363	30	0.we	0.we	NOUN
ejpam-4586	363	31	can	can	AUX
ejpam-4586	363	32	set	set	VERB
ejpam-4586	363	33	α1	α1	PROPN
ejpam-4586	363	34	=	=	SYM
ejpam-4586	363	35	β1	β1	NOUN
ejpam-4586	363	36	=	=	PUNCT
ejpam-4586	363	37	1	1	NUM
ejpam-4586	363	38	and	and	CCONJ
ejpam-4586	363	39	a	a	DET
ejpam-4586	363	40	verifies	verifie	NOUN
ejpam-4586	363	41	the	the	DET
ejpam-4586	363	42	polynomial	polynomial	ADJ
ejpam-4586	363	43	identity	identity	NOUN
ejpam-4586	363	44	:	:	PUNCT
ejpam-4586	363	45	(	(	PUNCT
ejpam-4586	363	46	x2	x2	INTJ
ejpam-4586	363	47	−	−	PROPN
ejpam-4586	363	48	2λω(x)x)3	2λω(x)x)3	NUM
ejpam-4586	363	49	−	−	PROPN
ejpam-4586	363	50	(	(	PUNCT
ejpam-4586	363	51	λ̄	λ̄	ADP
ejpam-4586	363	52	−	−	NUM
ejpam-4586	363	53	2λ)ω(x)2(x2	2λ)ω(x)2(x2	NOUN
ejpam-4586	363	54	−	−	NOUN
ejpam-4586	363	55	2λω(x)x)2	2λω(x)x)2	NOUN
ejpam-4586	363	56	+	+	CCONJ
ejpam-4586	363	57	(	(	PUNCT
ejpam-4586	363	58	λ̄	λ̄	X
ejpam-4586	363	59	+	+	NUM
ejpam-4586	363	60	2λ	2λ	NUM
ejpam-4586	363	61	−	−	NOUN
ejpam-4586	363	62	2)ω(x)4(x2	2)ω(x)4(x2	NOUN
ejpam-4586	363	63	−	−	PROPN
ejpam-4586	363	64	2λω(x	2λω(x	NUM
ejpam-4586	363	65	)	)	PUNCT
ejpam-4586	363	66	)	)	PUNCT
ejpam-4586	364	1	=	=	PUNCT
ejpam-4586	364	2	0	0	X
ejpam-4586	364	3	.	.	PUNCT
ejpam-4586	364	4	w.	w.	PROPN
ejpam-4586	364	5	a.	a.	PROPN
ejpam-4586	364	6	zangre	zangre	PROPN
ejpam-4586	364	7	,	,	PUNCT
ejpam-4586	364	8	a.	a.	NOUN
ejpam-4586	364	9	conseibo	conseibo	PROPN
ejpam-4586	364	10	/	/	SYM
ejpam-4586	364	11	eur	eur	PROPN
ejpam-4586	364	12	.	.	PUNCT
ejpam-4586	365	1	j.	j.	PROPN
ejpam-4586	365	2	pure	pure	PROPN
ejpam-4586	365	3	appl	appl	PROPN
ejpam-4586	365	4	.	.	PROPN
ejpam-4586	365	5	math	math	PROPN
ejpam-4586	365	6	,	,	PUNCT
ejpam-4586	365	7	15	15	NUM
ejpam-4586	365	8	(	(	PUNCT
ejpam-4586	365	9	4	4	NUM
ejpam-4586	365	10	)	)	PUNCT
ejpam-4586	365	11	(	(	PUNCT
ejpam-4586	365	12	2022	2022	NUM
ejpam-4586	365	13	)	)	PUNCT
ejpam-4586	365	14	,	,	PUNCT
ejpam-4586	365	15	1887	1887	NUM
ejpam-4586	365	16	-	-	SYM
ejpam-4586	365	17	1907	1907	NUM
ejpam-4586	365	18	1899	1899	NUM
ejpam-4586	365	19	4.4	4.4	NUM
ejpam-4586	365	20	.	.	PUNCT
ejpam-4586	366	1	4th	4th	ADJ
ejpam-4586	366	2	case	case	NOUN
ejpam-4586	366	3	:	:	PUNCT
ejpam-4586	366	4	α0	α0	ADJ
ejpam-4586	366	5	=	=	SYM
ejpam-4586	366	6	α1	α1	PROPN
ejpam-4586	366	7	=	=	SYM
ejpam-4586	366	8	0	0	PUNCT
ejpam-4586	366	9	i	i	NOUN
ejpam-4586	366	10	)	)	PUNCT
ejpam-4586	366	11	α0	α0	ADJ
ejpam-4586	366	12	=	=	SYM
ejpam-4586	366	13	α1	α1	PROPN
ejpam-4586	366	14	=	=	SYM
ejpam-4586	366	15	γ1	γ1	NOUN
ejpam-4586	366	16	=	=	SYM
ejpam-4586	366	17	γ0	γ0	PROPN
ejpam-4586	366	18	=	=	SYM
ejpam-4586	366	19	β1	β1	PROPN
ejpam-4586	366	20	=	=	PUNCT
ejpam-4586	366	21	0	0	X
ejpam-4586	366	22	.	.	PUNCT
ejpam-4586	367	1	then	then	ADV
ejpam-4586	367	2	the	the	DET
ejpam-4586	367	3	multiplication	multiplication	NOUN
ejpam-4586	367	4	table	table	NOUN
ejpam-4586	367	5	of	of	ADP
ejpam-4586	367	6	a	a	PRON
ejpam-4586	367	7	is	be	AUX
ejpam-4586	367	8	:	:	PUNCT
ejpam-4586	367	9	e2	e2	PROPN
ejpam-4586	367	10	=	=	SYM
ejpam-4586	367	11	e	e	PROPN
ejpam-4586	367	12	,	,	PUNCT
ejpam-4586	367	13	ee0	ee0	X
ejpam-4586	367	14	=	=	PUNCT
ejpam-4586	367	15	1	1	NUM
ejpam-4586	367	16	2e0	2e0	NUM
ejpam-4586	367	17	,	,	PUNCT
ejpam-4586	367	18	ee1	ee1	NOUN
ejpam-4586	368	1	=	=	SYM
ejpam-4586	368	2	λe1	λe1	NOUN
ejpam-4586	368	3	,	,	PUNCT
ejpam-4586	368	4	ee2	ee2	NOUN
ejpam-4586	368	5	=	=	SYM
ejpam-4586	368	6	λe2	λe2	PROPN
ejpam-4586	368	7	,	,	PUNCT
ejpam-4586	368	8	e20	e20	NOUN
ejpam-4586	368	9	=	=	SYM
ejpam-4586	368	10	0	0	NUM
ejpam-4586	368	11	,	,	PUNCT
ejpam-4586	368	12	e21	e21	PROPN
ejpam-4586	368	13	=	=	SYM
ejpam-4586	368	14	γe0	γe0	PROPN
ejpam-4586	368	15	,	,	PUNCT
ejpam-4586	368	16	e22	e22	NOUN
ejpam-4586	368	17	=	=	SYM
ejpam-4586	368	18	µe0	µe0	ADJ
ejpam-4586	368	19	,	,	PUNCT
ejpam-4586	368	20	e0e1	e0e1	NOUN
ejpam-4586	368	21	=	=	SYM
ejpam-4586	368	22	β0e0	β0e0	X
ejpam-4586	368	23	,	,	PUNCT
ejpam-4586	368	24	e0e2	e0e2	NOUN
ejpam-4586	368	25	=	=	SYM
ejpam-4586	368	26	0	0	NUM
ejpam-4586	368	27	,	,	PUNCT
ejpam-4586	368	28	e1e2	e1e2	X
ejpam-4586	368	29	=	=	SYM
ejpam-4586	368	30	ρe0	ρe0	NOUN
ejpam-4586	368	31	.	.	PUNCT
ejpam-4586	369	1	the	the	DET
ejpam-4586	369	2	classification	classification	NOUN
ejpam-4586	369	3	of	of	ADP
ejpam-4586	369	4	algebras	algebra	NOUN
ejpam-4586	369	5	in	in	ADP
ejpam-4586	369	6	this	this	DET
ejpam-4586	369	7	case	case	NOUN
ejpam-4586	369	8	amounts	amount	VERB
ejpam-4586	369	9	to	to	ADP
ejpam-4586	369	10	the	the	DET
ejpam-4586	369	11	classification	classification	NOUN
ejpam-4586	369	12	of	of	ADP
ejpam-4586	369	13	the	the	DET
ejpam-4586	369	14	quadratic	quadratic	ADJ
ejpam-4586	369	15	form	form	NOUN
ejpam-4586	369	16	q	q	NOUN
ejpam-4586	369	17	of	of	ADP
ejpam-4586	369	18	polar	polar	ADJ
ejpam-4586	369	19	forms	form	NOUN
ejpam-4586	369	20	φ	φ	PROPN
ejpam-4586	369	21	defined	define	VERB
ejpam-4586	369	22	from	from	ADP
ejpam-4586	369	23	a1/2	a1/2	PROPN
ejpam-4586	369	24	⊕	⊕	PROPN
ejpam-4586	369	25	aλ	aλ	PROPN
ejpam-4586	369	26	⊕	⊕	PROPN
ejpam-4586	369	27	aλ	aλ	VERB
ejpam-4586	369	28	to	to	ADP
ejpam-4586	369	29	k	k	PROPN
ejpam-4586	369	30	by	by	ADP
ejpam-4586	369	31	:	:	PUNCT
ejpam-4586	369	32	φ(e0	φ(e0	NOUN
ejpam-4586	369	33	,	,	PUNCT
ejpam-4586	369	34	e0	e0	PROPN
ejpam-4586	369	35	)	)	PUNCT
ejpam-4586	370	1	=	=	SYM
ejpam-4586	370	2	q(e0	q(e0	NOUN
ejpam-4586	370	3	)	)	PUNCT
ejpam-4586	370	4	=	=	SYM
ejpam-4586	370	5	0	0	NUM
ejpam-4586	370	6	,	,	PUNCT
ejpam-4586	370	7	φ(e1	φ(e1	NOUN
ejpam-4586	370	8	,	,	PUNCT
ejpam-4586	370	9	e1	e1	PROPN
ejpam-4586	370	10	)	)	PUNCT
ejpam-4586	370	11	=	=	SYM
ejpam-4586	370	12	q(e1	q(e1	NOUN
ejpam-4586	370	13	)	)	PUNCT
ejpam-4586	370	14	=	=	SYM
ejpam-4586	371	1	γ	γ	X
ejpam-4586	371	2	,	,	PUNCT
ejpam-4586	371	3	φ(e2	φ(e2	NOUN
ejpam-4586	371	4	,	,	PUNCT
ejpam-4586	371	5	e2	e2	PROPN
ejpam-4586	371	6	)	)	PUNCT
ejpam-4586	371	7	=	=	SYM
ejpam-4586	371	8	q(e2	q(e2	NOUN
ejpam-4586	371	9	)	)	PUNCT
ejpam-4586	371	10	=	=	SYM
ejpam-4586	371	11	µ	µ	NOUN
ejpam-4586	371	12	,	,	PUNCT
ejpam-4586	371	13	φ(e0	φ(e0	NOUN
ejpam-4586	371	14	,	,	PUNCT
ejpam-4586	371	15	e1	e1	NOUN
ejpam-4586	371	16	)	)	PUNCT
ejpam-4586	371	17	=	=	SYM
ejpam-4586	371	18	β0	β0	NOUN
ejpam-4586	371	19	,	,	PUNCT
ejpam-4586	371	20	φ(e0	φ(e0	NOUN
ejpam-4586	371	21	,	,	PUNCT
ejpam-4586	371	22	e2	e2	NOUN
ejpam-4586	371	23	)	)	PUNCT
ejpam-4586	371	24	=	=	SYM
ejpam-4586	371	25	0	0	NUM
ejpam-4586	371	26	,	,	PUNCT
ejpam-4586	371	27	φ(e1	φ(e1	NOUN
ejpam-4586	371	28	,	,	PUNCT
ejpam-4586	371	29	e2	e2	PROPN
ejpam-4586	371	30	)	)	PUNCT
ejpam-4586	371	31	=	=	SYM
ejpam-4586	371	32	ρ	ρ	PROPN
ejpam-4586	371	33	.	.	PUNCT
ejpam-4586	372	1	the	the	DET
ejpam-4586	372	2	matrix	matrix	NOUN
ejpam-4586	372	3	of	of	ADP
ejpam-4586	372	4	q	q	NOUN
ejpam-4586	372	5	in	in	ADP
ejpam-4586	372	6	the	the	DET
ejpam-4586	372	7	basis	basis	NOUN
ejpam-4586	372	8	(	(	PUNCT
ejpam-4586	372	9	e0	e0	PROPN
ejpam-4586	372	10	,	,	PUNCT
ejpam-4586	372	11	e1	e1	PROPN
ejpam-4586	372	12	,	,	PUNCT
ejpam-4586	372	13	e2	e2	PROPN
ejpam-4586	372	14	)	)	PUNCT
ejpam-4586	372	15	is	be	AUX
ejpam-4586	372	16	given	give	VERB
ejpam-4586	372	17	by	by	ADP
ejpam-4586	372	18	:	:	PUNCT
ejpam-4586	372	19	m	m	PROPN
ejpam-4586	372	20	=	=	SYM
ejpam-4586	373	1			PROPN
ejpam-4586	373	2	0	0	NUM
ejpam-4586	373	3	β0	β0	NOUN
ejpam-4586	373	4	0	0	NUM
ejpam-4586	373	5	β0	β0	PROPN
ejpam-4586	373	6	γ	γ	X
ejpam-4586	373	7	ρ	ρ	PROPN
ejpam-4586	373	8	0	0	NUM
ejpam-4586	373	9	ρ	ρ	PROPN
ejpam-4586	373	10	µ	µ	DET
ejpam-4586	373	11			PROPN
ejpam-4586	373	12	,	,	PUNCT
ejpam-4586	373	13	so	so	ADV
ejpam-4586	373	14	det(m	det(m	PROPN
ejpam-4586	373	15	)	)	PUNCT
ejpam-4586	373	16	=	=	X
ejpam-4586	373	17	−β2	−β2	PROPN
ejpam-4586	373	18	0µ.	0µ.	PROPN
ejpam-4586	374	1	if	if	SCONJ
ejpam-4586	374	2	q	q	NOUN
ejpam-4586	374	3	is	be	AUX
ejpam-4586	374	4	degenerate	degenerate	ADJ
ejpam-4586	374	5	,	,	PUNCT
ejpam-4586	374	6	then	then	ADV
ejpam-4586	374	7	det(m	det(m	PROPN
ejpam-4586	374	8	)	)	PUNCT
ejpam-4586	374	9	=	=	SYM
ejpam-4586	375	1	0	0	NUM
ejpam-4586	375	2	,	,	PUNCT
ejpam-4586	375	3	so	so	ADV
ejpam-4586	375	4	µβ0	µβ0	ADV
ejpam-4586	375	5	=	=	SYM
ejpam-4586	375	6	0	0	X
ejpam-4586	375	7	.	.	PUNCT
ejpam-4586	375	8	suppose	suppose	VERB
ejpam-4586	375	9	β0	β0	PROPN
ejpam-4586	375	10	̸=	̸=	PROPN
ejpam-4586	375	11	0	0	NUM
ejpam-4586	375	12	,	,	PUNCT
ejpam-4586	375	13	then	then	ADV
ejpam-4586	375	14	µ	µ	X
ejpam-4586	375	15	=	=	SYM
ejpam-4586	375	16	0	0	PUNCT
ejpam-4586	375	17	and	and	CCONJ
ejpam-4586	375	18	we	we	PRON
ejpam-4586	375	19	have	have	VERB
ejpam-4586	375	20	the	the	DET
ejpam-4586	375	21	cases	case	NOUN
ejpam-4586	375	22	:	:	PUNCT
ejpam-4586	375	23	i.1	i.1	X
ejpam-4586	375	24	)	)	PUNCT
ejpam-4586	375	25	γ	γ	X
ejpam-4586	375	26	=	=	SYM
ejpam-4586	375	27	ρ	ρ	PROPN
ejpam-4586	375	28	=	=	SYM
ejpam-4586	375	29	0	0	PROPN
ejpam-4586	375	30	.	.	PUNCT
ejpam-4586	376	1	the	the	DET
ejpam-4586	376	2	multiplication	multiplication	NOUN
ejpam-4586	376	3	table	table	NOUN
ejpam-4586	376	4	of	of	ADP
ejpam-4586	376	5	a	a	PRON
ejpam-4586	376	6	is	be	AUX
ejpam-4586	376	7	given	give	VERB
ejpam-4586	376	8	by	by	ADP
ejpam-4586	376	9	:	:	PUNCT
ejpam-4586	376	10	e2	e2	PROPN
ejpam-4586	376	11	=	=	SYM
ejpam-4586	376	12	e	e	PROPN
ejpam-4586	376	13	,	,	PUNCT
ejpam-4586	376	14	ee0	ee0	X
ejpam-4586	376	15	=	=	PUNCT
ejpam-4586	376	16	1	1	NUM
ejpam-4586	376	17	2e0	2e0	NUM
ejpam-4586	376	18	,	,	PUNCT
ejpam-4586	376	19	ee1	ee1	NOUN
ejpam-4586	377	1	=	=	SYM
ejpam-4586	377	2	λe1	λe1	NOUN
ejpam-4586	377	3	,	,	PUNCT
ejpam-4586	377	4	ee2	ee2	NOUN
ejpam-4586	377	5	=	=	SYM
ejpam-4586	377	6	λe2	λe2	PROPN
ejpam-4586	377	7	,	,	PUNCT
ejpam-4586	377	8	e0e1	e0e1	NOUN
ejpam-4586	377	9	=	=	PROPN
ejpam-4586	377	10	e0	e0	PROPN
ejpam-4586	377	11	.	.	PUNCT
ejpam-4586	378	1	where	where	SCONJ
ejpam-4586	378	2	e1	e1	NOUN
ejpam-4586	378	3	is	be	AUX
ejpam-4586	378	4	replaced	replace	VERB
ejpam-4586	378	5	by	by	ADP
ejpam-4586	378	6	β−1	β−1	SYM
ejpam-4586	378	7	0	0	NUM
ejpam-4586	378	8	e1.a	e1.a	ADJ
ejpam-4586	378	9	verifies	verifie	NOUN
ejpam-4586	378	10	the	the	DET
ejpam-4586	378	11	polynomial	polynomial	ADJ
ejpam-4586	378	12	identity	identity	NOUN
ejpam-4586	378	13	:	:	PUNCT
ejpam-4586	378	14	(	(	PUNCT
ejpam-4586	378	15	x2	x2	INTJ
ejpam-4586	378	16	−	−	PROPN
ejpam-4586	378	17	2λω(x)x)3	2λω(x)x)3	NUM
ejpam-4586	378	18	−	−	PROPN
ejpam-4586	379	1	(	(	PUNCT
ejpam-4586	379	2	λ̄−	λ̄−	PROPN
ejpam-4586	379	3	2λ)ω(x)2(x2	2λ)ω(x)2(x2	NOUN
ejpam-4586	379	4	−	−	NOUN
ejpam-4586	379	5	2λω(x)x)2	2λω(x)x)2	NOUN
ejpam-4586	379	6	+	+	CCONJ
ejpam-4586	379	7	(	(	PUNCT
ejpam-4586	379	8	λ̄+	λ̄+	NUM
ejpam-4586	379	9	2λ−	2λ−	NUM
ejpam-4586	379	10	2)ω(x)4(x2	2)ω(x)4(x2	NOUN
ejpam-4586	379	11	−	−	PROPN
ejpam-4586	379	12	2λω(x	2λω(x	NUM
ejpam-4586	379	13	)	)	PUNCT
ejpam-4586	379	14	)	)	PUNCT
ejpam-4586	380	1	=	=	PUNCT
ejpam-4586	380	2	0	0	X
ejpam-4586	380	3	.	.	PUNCT
ejpam-4586	380	4	i.2	i.2	X
ejpam-4586	380	5	)	)	PUNCT
ejpam-4586	380	6	γ	γ	NOUN
ejpam-4586	380	7	=	=	SYM
ejpam-4586	380	8	0	0	NUM
ejpam-4586	380	9	and	and	CCONJ
ejpam-4586	380	10	ρ	ρ	NUM
ejpam-4586	380	11	̸=	̸=	PROPN
ejpam-4586	380	12	0	0	NUM
ejpam-4586	380	13	.	.	PUNCT
ejpam-4586	381	1	the	the	DET
ejpam-4586	381	2	multiplication	multiplication	NOUN
ejpam-4586	381	3	table	table	NOUN
ejpam-4586	381	4	of	of	ADP
ejpam-4586	381	5	a	a	PRON
ejpam-4586	381	6	is	be	AUX
ejpam-4586	381	7	given	give	VERB
ejpam-4586	381	8	by	by	ADP
ejpam-4586	381	9	:	:	PUNCT
ejpam-4586	381	10	e2	e2	PROPN
ejpam-4586	381	11	=	=	SYM
ejpam-4586	381	12	e	e	PROPN
ejpam-4586	381	13	,	,	PUNCT
ejpam-4586	381	14	ee0	ee0	X
ejpam-4586	381	15	=	=	PUNCT
ejpam-4586	381	16	1	1	NUM
ejpam-4586	381	17	2e0	2e0	NUM
ejpam-4586	381	18	,	,	PUNCT
ejpam-4586	381	19	ee1	ee1	NOUN
ejpam-4586	382	1	=	=	SYM
ejpam-4586	382	2	λe1	λe1	NOUN
ejpam-4586	382	3	,	,	PUNCT
ejpam-4586	382	4	ee2	ee2	NOUN
ejpam-4586	382	5	=	=	SYM
ejpam-4586	382	6	λe2	λe2	PROPN
ejpam-4586	382	7	,	,	PUNCT
ejpam-4586	382	8	e0e1	e0e1	NOUN
ejpam-4586	382	9	=	=	PROPN
ejpam-4586	382	10	e0	e0	PROPN
ejpam-4586	382	11	,	,	PUNCT
ejpam-4586	382	12	e1e2	e1e2	X
ejpam-4586	382	13	=	=	SYM
ejpam-4586	382	14	e0	e0	PROPN
ejpam-4586	382	15	.	.	PUNCT
ejpam-4586	383	1	where	where	SCONJ
ejpam-4586	383	2	e1	e1	NOUN
ejpam-4586	383	3	is	be	AUX
ejpam-4586	383	4	replaced	replace	VERB
ejpam-4586	383	5	by	by	ADP
ejpam-4586	383	6	β−1	β−1	SYM
ejpam-4586	383	7	0	0	NUM
ejpam-4586	383	8	e1	e1	PROPN
ejpam-4586	383	9	et	et	PROPN
ejpam-4586	383	10	e2	e2	PROPN
ejpam-4586	383	11	par	par	PROPN
ejpam-4586	383	12	β0ρ	β0ρ	PUNCT
ejpam-4586	383	13	−1e2.a	−1e2.a	PROPN
ejpam-4586	383	14	verifies	verify	VERB
ejpam-4586	383	15	the	the	DET
ejpam-4586	383	16	polynomial	polynomial	ADJ
ejpam-4586	383	17	identity	identity	NOUN
ejpam-4586	383	18	:	:	PUNCT
ejpam-4586	383	19	(	(	PUNCT
ejpam-4586	383	20	x2	x2	INTJ
ejpam-4586	383	21	−	−	PROPN
ejpam-4586	383	22	2λω(x)x)3	2λω(x)x)3	NUM
ejpam-4586	383	23	−	−	PROPN
ejpam-4586	383	24	(	(	PUNCT
ejpam-4586	383	25	λ̄	λ̄	ADP
ejpam-4586	383	26	−	−	NUM
ejpam-4586	383	27	2λ)ω(x)2(x2	2λ)ω(x)2(x2	NOUN
ejpam-4586	383	28	−	−	NOUN
ejpam-4586	383	29	2λω(x)x)2	2λω(x)x)2	NOUN
ejpam-4586	383	30	+	+	CCONJ
ejpam-4586	383	31	(	(	PUNCT
ejpam-4586	383	32	λ̄+	λ̄+	NUM
ejpam-4586	383	33	2λ−	2λ−	NUM
ejpam-4586	383	34	2)ω(x)4(x2	2)ω(x)4(x2	NOUN
ejpam-4586	383	35	−	−	PROPN
ejpam-4586	383	36	2λω(x	2λω(x	NUM
ejpam-4586	383	37	)	)	PUNCT
ejpam-4586	383	38	)	)	PUNCT
ejpam-4586	384	1	=	=	PUNCT
ejpam-4586	384	2	0	0	X
ejpam-4586	384	3	.	.	PUNCT
ejpam-4586	384	4	i.3	i.3	X
ejpam-4586	384	5	)	)	PUNCT
ejpam-4586	384	6	ρ	ρ	PROPN
ejpam-4586	384	7	=	=	SYM
ejpam-4586	384	8	0	0	NUM
ejpam-4586	384	9	and	and	CCONJ
ejpam-4586	384	10	γ	γ	PROPN
ejpam-4586	384	11	̸=	̸=	PROPN
ejpam-4586	384	12	0	0	NUM
ejpam-4586	384	13	.	.	PUNCT
ejpam-4586	385	1	the	the	DET
ejpam-4586	385	2	multiplication	multiplication	NOUN
ejpam-4586	385	3	table	table	NOUN
ejpam-4586	385	4	of	of	ADP
ejpam-4586	385	5	a	a	PRON
ejpam-4586	385	6	is	be	AUX
ejpam-4586	385	7	given	give	VERB
ejpam-4586	385	8	by	by	ADP
ejpam-4586	385	9	:	:	PUNCT
ejpam-4586	385	10	e2	e2	PROPN
ejpam-4586	385	11	=	=	SYM
ejpam-4586	385	12	e	e	PROPN
ejpam-4586	385	13	,	,	PUNCT
ejpam-4586	385	14	ee0	ee0	X
ejpam-4586	385	15	=	=	PUNCT
ejpam-4586	385	16	1	1	NUM
ejpam-4586	385	17	2e0	2e0	NUM
ejpam-4586	385	18	,	,	PUNCT
ejpam-4586	385	19	ee1	ee1	NOUN
ejpam-4586	386	1	=	=	SYM
ejpam-4586	386	2	λe1	λe1	NOUN
ejpam-4586	386	3	,	,	PUNCT
ejpam-4586	386	4	ee2	ee2	NOUN
ejpam-4586	386	5	=	=	SYM
ejpam-4586	386	6	λe2	λe2	PROPN
ejpam-4586	386	7	,	,	PUNCT
ejpam-4586	386	8	e0e1	e0e1	NOUN
ejpam-4586	386	9	=	=	PROPN
ejpam-4586	386	10	e0	e0	PROPN
ejpam-4586	386	11	and	and	CCONJ
ejpam-4586	386	12	e21	e21	PROPN
ejpam-4586	386	13	=	=	SYM
ejpam-4586	386	14	e0	e0	PROPN
ejpam-4586	386	15	.	.	PUNCT
ejpam-4586	387	1	where	where	SCONJ
ejpam-4586	387	2	e1	e1	NOUN
ejpam-4586	387	3	is	be	AUX
ejpam-4586	387	4	replaced	replace	VERB
ejpam-4586	387	5	byβ−1	byβ−1	NOUN
ejpam-4586	387	6	0	0	NUM
ejpam-4586	387	7	e1	e1	PROPN
ejpam-4586	387	8	et	et	NOUN
ejpam-4586	387	9	e0	e0	PROPN
ejpam-4586	387	10	par	par	PROPN
ejpam-4586	387	11	β2	β2	PROPN
ejpam-4586	387	12	0γ	0γ	PROPN
ejpam-4586	387	13	−1e0	−1e0	NUM
ejpam-4586	387	14	.	.	PUNCT
ejpam-4586	388	1	a	a	DET
ejpam-4586	388	2	verifies	verifie	NOUN
ejpam-4586	388	3	the	the	DET
ejpam-4586	388	4	polynomial	polynomial	ADJ
ejpam-4586	388	5	identity	identity	NOUN
ejpam-4586	388	6	:	:	PUNCT
ejpam-4586	388	7	(	(	PUNCT
ejpam-4586	388	8	x2	x2	INTJ
ejpam-4586	388	9	−	−	PROPN
ejpam-4586	388	10	2λω(x)x)3	2λω(x)x)3	NUM
ejpam-4586	388	11	−	−	PROPN
ejpam-4586	388	12	(	(	PUNCT
ejpam-4586	388	13	λ̄−	λ̄−	PROPN
ejpam-4586	388	14	2λ)ω(x)2(x2	2λ)ω(x)2(x2	NOUN
ejpam-4586	388	15	−	−	NOUN
ejpam-4586	388	16	2λω(x)x)2	2λω(x)x)2	NOUN
ejpam-4586	388	17	+	+	CCONJ
ejpam-4586	388	18	(	(	PUNCT
ejpam-4586	388	19	λ̄+	λ̄+	NUM
ejpam-4586	388	20	2λ−	2λ−	NUM
ejpam-4586	388	21	2)ω(x)4(x2	2)ω(x)4(x2	NOUN
ejpam-4586	388	22	−	−	PROPN
ejpam-4586	388	23	2λω(x	2λω(x	NUM
ejpam-4586	388	24	)	)	PUNCT
ejpam-4586	388	25	)	)	PUNCT
ejpam-4586	389	1	=	=	PUNCT
ejpam-4586	389	2	0	0	X
ejpam-4586	389	3	.	.	NUM
ejpam-4586	389	4	i.4	i.4	NOUN
ejpam-4586	389	5	)	)	PUNCT
ejpam-4586	389	6	ρ	ρ	PROPN
ejpam-4586	389	7	̸=	̸=	PROPN
ejpam-4586	389	8	0	0	NUM
ejpam-4586	389	9	and	and	CCONJ
ejpam-4586	389	10	γ	γ	PROPN
ejpam-4586	389	11	̸=	̸=	PROPN
ejpam-4586	389	12	0	0	NUM
ejpam-4586	389	13	.	.	PUNCT
ejpam-4586	390	1	the	the	DET
ejpam-4586	390	2	multiplication	multiplication	NOUN
ejpam-4586	390	3	table	table	NOUN
ejpam-4586	390	4	of	of	ADP
ejpam-4586	390	5	a	a	PRON
ejpam-4586	390	6	is	be	AUX
ejpam-4586	390	7	given	give	VERB
ejpam-4586	390	8	by	by	ADP
ejpam-4586	390	9	:	:	PUNCT
ejpam-4586	390	10	e2	e2	PROPN
ejpam-4586	390	11	=	=	SYM
ejpam-4586	390	12	e	e	PROPN
ejpam-4586	390	13	,	,	PUNCT
ejpam-4586	390	14	ee0	ee0	X
ejpam-4586	390	15	=	=	PUNCT
ejpam-4586	390	16	1	1	NUM
ejpam-4586	390	17	2e0	2e0	NUM
ejpam-4586	390	18	,	,	PUNCT
ejpam-4586	390	19	ee1	ee1	NOUN
ejpam-4586	391	1	=	=	SYM
ejpam-4586	391	2	λe1	λe1	NOUN
ejpam-4586	391	3	,	,	PUNCT
ejpam-4586	391	4	ee2	ee2	NOUN
ejpam-4586	391	5	=	=	SYM
ejpam-4586	391	6	λe2	λe2	PROPN
ejpam-4586	391	7	,	,	PUNCT
ejpam-4586	391	8	e0e1	e0e1	NOUN
ejpam-4586	391	9	=	=	PROPN
ejpam-4586	391	10	e0	e0	PROPN
ejpam-4586	391	11	,	,	PUNCT
ejpam-4586	391	12	e21	e21	PROPN
ejpam-4586	391	13	=	=	SYM
ejpam-4586	391	14	e0	e0	PROPN
ejpam-4586	391	15	et	et	NOUN
ejpam-4586	391	16	e1e2	e1e2	NOUN
ejpam-4586	391	17	=	=	SYM
ejpam-4586	391	18	ρe0	ρe0	NOUN
ejpam-4586	391	19	,	,	PUNCT
ejpam-4586	391	20	where	where	SCONJ
ejpam-4586	391	21	e1	e1	NOUN
ejpam-4586	391	22	is	be	AUX
ejpam-4586	391	23	replaced	replace	VERB
ejpam-4586	391	24	by	by	ADP
ejpam-4586	391	25	β−1	β−1	SYM
ejpam-4586	391	26	0	0	NUM
ejpam-4586	391	27	e1	e1	PROPN
ejpam-4586	391	28	and	and	CCONJ
ejpam-4586	391	29	e0	e0	PROPN
ejpam-4586	391	30	by	by	ADP
ejpam-4586	391	31	β2	β2	PROPN
ejpam-4586	391	32	0γ	0γ	PROPN
ejpam-4586	391	33	−1e0	−1e0	NUM
ejpam-4586	391	34	.	.	PUNCT
ejpam-4586	392	1	a	a	DET
ejpam-4586	392	2	verifies	verifie	NOUN
ejpam-4586	392	3	the	the	DET
ejpam-4586	392	4	polynomial	polynomial	ADJ
ejpam-4586	392	5	identity	identity	NOUN
ejpam-4586	392	6	:	:	PUNCT
ejpam-4586	392	7	(	(	PUNCT
ejpam-4586	392	8	x2−2λω(x)x)3−	x2−2λω(x)x)3−	X
ejpam-4586	392	9	(	(	PUNCT
ejpam-4586	392	10	λ̄−	λ̄−	PROPN
ejpam-4586	392	11	2λ)ω(x)2(x2	2λ)ω(x)2(x2	NOUN
ejpam-4586	392	12	−	−	NOUN
ejpam-4586	392	13	2λω(x)x)2	2λω(x)x)2	NOUN
ejpam-4586	392	14	+	+	CCONJ
ejpam-4586	392	15	(	(	PUNCT
ejpam-4586	392	16	λ̄+	λ̄+	NUM
ejpam-4586	392	17	2λ−	2λ−	NUM
ejpam-4586	392	18	2)ω(x)4(x2	2)ω(x)4(x2	NOUN
ejpam-4586	392	19	−	−	PROPN
ejpam-4586	392	20	2λω(x	2λω(x	NUM
ejpam-4586	392	21	)	)	PUNCT
ejpam-4586	392	22	)	)	PUNCT
ejpam-4586	393	1	=	=	SYM
ejpam-4586	393	2	0	0	X
ejpam-4586	393	3	.	.	PUNCT
ejpam-4586	393	4	suppose	suppose	VERB
ejpam-4586	393	5	β0	β0	PROPN
ejpam-4586	393	6	=	=	SYM
ejpam-4586	393	7	0	0	PROPN
ejpam-4586	393	8	,	,	PUNCT
ejpam-4586	393	9	then	then	ADV
ejpam-4586	394	1	e2	e2	PROPN
ejpam-4586	394	2	=	=	SYM
ejpam-4586	394	3	e	e	PROPN
ejpam-4586	394	4	,	,	PUNCT
ejpam-4586	394	5	ee0	ee0	X
ejpam-4586	394	6	=	=	PUNCT
ejpam-4586	394	7	1	1	NUM
ejpam-4586	394	8	2e0	2e0	NUM
ejpam-4586	394	9	,	,	PUNCT
ejpam-4586	394	10	ee1	ee1	NOUN
ejpam-4586	394	11	=	=	SYM
ejpam-4586	394	12	λe1	λe1	NOUN
ejpam-4586	394	13	,	,	PUNCT
ejpam-4586	394	14	ee2	ee2	NOUN
ejpam-4586	394	15	=	=	SYM
ejpam-4586	394	16	λe2	λe2	PROPN
ejpam-4586	394	17	,	,	PUNCT
ejpam-4586	394	18	e20	e20	NOUN
ejpam-4586	394	19	=	=	SYM
ejpam-4586	394	20	0	0	NUM
ejpam-4586	394	21	,	,	PUNCT
ejpam-4586	394	22	e21	e21	PROPN
ejpam-4586	394	23	=	=	SYM
ejpam-4586	394	24	γe0	γe0	PROPN
ejpam-4586	394	25	,	,	PUNCT
ejpam-4586	394	26	e22	e22	NOUN
ejpam-4586	394	27	=	=	SYM
ejpam-4586	394	28	µe0	µe0	ADJ
ejpam-4586	394	29	,	,	PUNCT
ejpam-4586	394	30	e0e1	e0e1	NOUN
ejpam-4586	394	31	=	=	NOUN
ejpam-4586	394	32	0	0	NUM
ejpam-4586	394	33	,	,	PUNCT
ejpam-4586	394	34	e0e2	e0e2	NOUN
ejpam-4586	394	35	=	=	SYM
ejpam-4586	394	36	0	0	NUM
ejpam-4586	394	37	,	,	PUNCT
ejpam-4586	394	38	e1e2	e1e2	X
ejpam-4586	394	39	=	=	SYM
ejpam-4586	394	40	ρe0	ρe0	NOUN
ejpam-4586	394	41	.	.	PUNCT
ejpam-4586	394	42	i.5	i.5	NOUN
ejpam-4586	394	43	)	)	PUNCT
ejpam-4586	394	44	µ	µ	X
ejpam-4586	394	45	=	=	SYM
ejpam-4586	394	46	0	0	NUM
ejpam-4586	394	47	.	.	PUNCT
ejpam-4586	395	1	the	the	DET
ejpam-4586	395	2	multiplication	multiplication	NOUN
ejpam-4586	395	3	table	table	NOUN
ejpam-4586	395	4	of	of	ADP
ejpam-4586	395	5	a	a	PRON
ejpam-4586	395	6	is	be	AUX
ejpam-4586	395	7	given	give	VERB
ejpam-4586	395	8	by	by	ADP
ejpam-4586	395	9	:	:	PUNCT
ejpam-4586	395	10	e2	e2	PROPN
ejpam-4586	395	11	=	=	SYM
ejpam-4586	395	12	e	e	PROPN
ejpam-4586	395	13	,	,	PUNCT
ejpam-4586	395	14	ee0	ee0	X
ejpam-4586	395	15	=	=	PUNCT
ejpam-4586	395	16	1	1	NUM
ejpam-4586	395	17	2e0	2e0	NUM
ejpam-4586	395	18	,	,	PUNCT
ejpam-4586	395	19	ee1	ee1	NOUN
ejpam-4586	396	1	=	=	SYM
ejpam-4586	396	2	λe1	λe1	NOUN
ejpam-4586	396	3	,	,	PUNCT
ejpam-4586	396	4	ee2	ee2	NOUN
ejpam-4586	396	5	=	=	SYM
ejpam-4586	396	6	λe2	λe2	PROPN
ejpam-4586	396	7	,	,	PUNCT
ejpam-4586	396	8	e20	e20	NOUN
ejpam-4586	396	9	=	=	SYM
ejpam-4586	396	10	0	0	NUM
ejpam-4586	396	11	,	,	PUNCT
ejpam-4586	396	12	e21	e21	PROPN
ejpam-4586	396	13	=	=	SYM
ejpam-4586	396	14	γe0	γe0	PROPN
ejpam-4586	396	15	,	,	PUNCT
ejpam-4586	396	16	e22	e22	X
ejpam-4586	396	17	=	=	SYM
ejpam-4586	396	18	0	0	NUM
ejpam-4586	396	19	,	,	PUNCT
ejpam-4586	396	20	e0e1	e0e1	NOUN
ejpam-4586	396	21	=	=	NOUN
ejpam-4586	396	22	0	0	NUM
ejpam-4586	396	23	,	,	PUNCT
ejpam-4586	396	24	e0e2	e0e2	NOUN
ejpam-4586	396	25	=	=	SYM
ejpam-4586	396	26	0	0	NUM
ejpam-4586	396	27	,	,	PUNCT
ejpam-4586	396	28	e1e2	e1e2	X
ejpam-4586	396	29	=	=	SYM
ejpam-4586	396	30	ρe0	ρe0	NOUN
ejpam-4586	396	31	.	.	PUNCT
ejpam-4586	397	1	a	a	DET
ejpam-4586	397	2	verifies	verifie	NOUN
ejpam-4586	397	3	the	the	DET
ejpam-4586	397	4	polynomial	polynomial	ADJ
ejpam-4586	397	5	identity	identity	NOUN
ejpam-4586	397	6	:	:	PUNCT
ejpam-4586	397	7	(	(	PUNCT
ejpam-4586	397	8	x2	x2	INTJ
ejpam-4586	397	9	−	−	PROPN
ejpam-4586	397	10	2λω(x)x)3	2λω(x)x)3	NUM
ejpam-4586	397	11	−	−	PROPN
ejpam-4586	397	12	(	(	PUNCT
ejpam-4586	397	13	λ̄	λ̄	ADP
ejpam-4586	397	14	−	−	NUM
ejpam-4586	397	15	2λ)ω(x)2(x2	2λ)ω(x)2(x2	NOUN
ejpam-4586	397	16	−	−	NOUN
ejpam-4586	397	17	2λω(x)x)2	2λω(x)x)2	NOUN
ejpam-4586	397	18	+	+	CCONJ
ejpam-4586	397	19	(	(	PUNCT
ejpam-4586	397	20	λ̄+	λ̄+	NUM
ejpam-4586	397	21	2λ−	2λ−	NUM
ejpam-4586	397	22	2)ω(x)4(x2	2)ω(x)4(x2	NOUN
ejpam-4586	397	23	−	−	PROPN
ejpam-4586	397	24	2λω(x	2λω(x	NUM
ejpam-4586	397	25	)	)	PUNCT
ejpam-4586	397	26	)	)	PUNCT
ejpam-4586	398	1	=	=	PUNCT
ejpam-4586	398	2	0	0	X
ejpam-4586	398	3	.	.	PUNCT
ejpam-4586	398	4	i.6	i.6	X
ejpam-4586	398	5	)	)	PUNCT
ejpam-4586	398	6	µγρ	µγρ	ADV
ejpam-4586	398	7	̸=	̸=	PROPN
ejpam-4586	398	8	0	0	NUM
ejpam-4586	398	9	.	.	PUNCT
ejpam-4586	399	1	we	we	PRON
ejpam-4586	399	2	can	can	AUX
ejpam-4586	399	3	set	set	VERB
ejpam-4586	399	4	ρ	ρ	NOUN
ejpam-4586	399	5	=	=	SYM
ejpam-4586	399	6	γ	γ	X
ejpam-4586	399	7	=	=	SYM
ejpam-4586	399	8	1	1	NUM
ejpam-4586	399	9	and	and	CCONJ
ejpam-4586	399	10	the	the	DET
ejpam-4586	399	11	multiplication	multiplication	NOUN
ejpam-4586	399	12	table	table	NOUN
ejpam-4586	399	13	of	of	ADP
ejpam-4586	399	14	a	a	PRON
ejpam-4586	399	15	is	be	AUX
ejpam-4586	399	16	given	give	VERB
ejpam-4586	399	17	by	by	ADP
ejpam-4586	399	18	:	:	PUNCT
ejpam-4586	399	19	e2	e2	PROPN
ejpam-4586	399	20	=	=	SYM
ejpam-4586	399	21	e	e	PROPN
ejpam-4586	399	22	,	,	PUNCT
ejpam-4586	399	23	ee0	ee0	X
ejpam-4586	399	24	=	=	PUNCT
ejpam-4586	399	25	1	1	NUM
ejpam-4586	399	26	2e0	2e0	NUM
ejpam-4586	399	27	,	,	PUNCT
ejpam-4586	399	28	ee1	ee1	NOUN
ejpam-4586	400	1	=	=	SYM
ejpam-4586	400	2	λe1	λe1	NOUN
ejpam-4586	400	3	,	,	PUNCT
ejpam-4586	400	4	ee2	ee2	NOUN
ejpam-4586	400	5	=	=	SYM
ejpam-4586	400	6	λe2	λe2	PROPN
ejpam-4586	400	7	,	,	PUNCT
ejpam-4586	400	8	e20	e20	NOUN
ejpam-4586	400	9	=	=	SYM
ejpam-4586	400	10	0	0	NUM
ejpam-4586	400	11	,	,	PUNCT
ejpam-4586	400	12	e21	e21	PROPN
ejpam-4586	400	13	=	=	SYM
ejpam-4586	400	14	e0	e0	PROPN
ejpam-4586	400	15	,	,	PUNCT
ejpam-4586	400	16	e22	e22	NOUN
ejpam-4586	400	17	=	=	SYM
ejpam-4586	400	18	µe0	µe0	ADJ
ejpam-4586	400	19	,	,	PUNCT
ejpam-4586	400	20	e0e1	e0e1	NOUN
ejpam-4586	400	21	=	=	NOUN
ejpam-4586	400	22	0	0	NUM
ejpam-4586	400	23	,	,	PUNCT
ejpam-4586	400	24	e0e2	e0e2	NOUN
ejpam-4586	400	25	=	=	SYM
ejpam-4586	400	26	0	0	NUM
ejpam-4586	400	27	,	,	PUNCT
ejpam-4586	400	28	e1e2	e1e2	X
ejpam-4586	400	29	=	=	SYM
ejpam-4586	400	30	e0	e0	PROPN
ejpam-4586	400	31	.	.	PUNCT
ejpam-4586	401	1	w.	w.	PROPN
ejpam-4586	401	2	a.	a.	PROPN
ejpam-4586	401	3	zangre	zangre	PROPN
ejpam-4586	401	4	,	,	PUNCT
ejpam-4586	401	5	a.	a.	NOUN
ejpam-4586	401	6	conseibo	conseibo	PROPN
ejpam-4586	401	7	/	/	SYM
ejpam-4586	401	8	eur	eur	PROPN
ejpam-4586	401	9	.	.	PUNCT
ejpam-4586	402	1	j.	j.	PROPN
ejpam-4586	402	2	pure	pure	PROPN
ejpam-4586	402	3	appl	appl	PROPN
ejpam-4586	402	4	.	.	PROPN
ejpam-4586	402	5	math	math	PROPN
ejpam-4586	402	6	,	,	PUNCT
ejpam-4586	402	7	15	15	NUM
ejpam-4586	402	8	(	(	PUNCT
ejpam-4586	402	9	4	4	NUM
ejpam-4586	402	10	)	)	PUNCT
ejpam-4586	402	11	(	(	PUNCT
ejpam-4586	402	12	2022	2022	NUM
ejpam-4586	402	13	)	)	PUNCT
ejpam-4586	402	14	,	,	PUNCT
ejpam-4586	402	15	1887	1887	NUM
ejpam-4586	402	16	-	-	SYM
ejpam-4586	402	17	1907	1907	NUM
ejpam-4586	402	18	1900	1900	NUM
ejpam-4586	402	19	i.7	i.7	NOUN
ejpam-4586	402	20	)	)	PUNCT
ejpam-4586	402	21	µ	µ	PROPN
ejpam-4586	402	22	̸=	̸=	PROPN
ejpam-4586	402	23	0	0	NUM
ejpam-4586	402	24	,	,	PUNCT
ejpam-4586	402	25	ρ	ρ	NOUN
ejpam-4586	402	26	=	=	SYM
ejpam-4586	402	27	γ	γ	X
ejpam-4586	402	28	=	=	SYM
ejpam-4586	402	29	0	0	NUM
ejpam-4586	402	30	.	.	PUNCT
ejpam-4586	403	1	we	we	PRON
ejpam-4586	403	2	can	can	AUX
ejpam-4586	403	3	set	set	VERB
ejpam-4586	403	4	µ	µ	NOUN
ejpam-4586	403	5	=	=	SYM
ejpam-4586	403	6	1	1	NUM
ejpam-4586	403	7	.	.	PUNCT
ejpam-4586	404	1	the	the	DET
ejpam-4586	404	2	multiplication	multiplication	NOUN
ejpam-4586	404	3	table	table	NOUN
ejpam-4586	404	4	of	of	ADP
ejpam-4586	404	5	a	a	PRON
ejpam-4586	404	6	is	be	AUX
ejpam-4586	404	7	given	give	VERB
ejpam-4586	404	8	by	by	ADP
ejpam-4586	404	9	:	:	PUNCT
ejpam-4586	404	10	e2	e2	PROPN
ejpam-4586	404	11	=	=	SYM
ejpam-4586	404	12	e	e	PROPN
ejpam-4586	404	13	,	,	PUNCT
ejpam-4586	404	14	ee0	ee0	X
ejpam-4586	404	15	=	=	PUNCT
ejpam-4586	404	16	1	1	NUM
ejpam-4586	404	17	2e0	2e0	NUM
ejpam-4586	404	18	,	,	PUNCT
ejpam-4586	404	19	ee1	ee1	NOUN
ejpam-4586	405	1	=	=	SYM
ejpam-4586	405	2	λe1	λe1	NOUN
ejpam-4586	405	3	,	,	PUNCT
ejpam-4586	405	4	ee2	ee2	NOUN
ejpam-4586	405	5	=	=	SYM
ejpam-4586	405	6	λe2	λe2	PROPN
ejpam-4586	405	7	,	,	PUNCT
ejpam-4586	405	8	e20	e20	NOUN
ejpam-4586	405	9	=	=	SYM
ejpam-4586	405	10	0	0	NUM
ejpam-4586	405	11	,	,	PUNCT
ejpam-4586	405	12	e21	e21	NUM
ejpam-4586	405	13	=	=	SYM
ejpam-4586	405	14	0	0	NUM
ejpam-4586	405	15	,	,	PUNCT
ejpam-4586	405	16	e22	e22	X
ejpam-4586	405	17	=	=	SYM
ejpam-4586	405	18	e0	e0	PROPN
ejpam-4586	405	19	,	,	PUNCT
ejpam-4586	405	20	e0e1	e0e1	NOUN
ejpam-4586	405	21	=	=	SYM
ejpam-4586	405	22	0	0	NUM
ejpam-4586	405	23	,	,	PUNCT
ejpam-4586	405	24	e0e2	e0e2	NOUN
ejpam-4586	405	25	=	=	SYM
ejpam-4586	405	26	0	0	NUM
ejpam-4586	405	27	,	,	PUNCT
ejpam-4586	405	28	e1e2	e1e2	X
ejpam-4586	405	29	=	=	SYM
ejpam-4586	405	30	0	0	NUM
ejpam-4586	405	31	.	.	PUNCT
ejpam-4586	406	1	a	a	DET
ejpam-4586	406	2	verifies	verifie	NOUN
ejpam-4586	406	3	the	the	DET
ejpam-4586	406	4	polynomial	polynomial	ADJ
ejpam-4586	406	5	identity	identity	NOUN
ejpam-4586	406	6	:	:	PUNCT
ejpam-4586	406	7	(	(	PUNCT
ejpam-4586	406	8	x2−2λ̄ω(x)x)3−(λ−2λ̄)ω(x)2(x2−2λ̄ω(x)x)2+(λ+2λ̄−2)ω(x)4(x2−2λ̄ω(x	x2−2λ̄ω(x)x)3−(λ−2λ̄)ω(x)2(x2−2λ̄ω(x)x)2+(λ+2λ̄−2)ω(x)4(x2−2λ̄ω(x	X
ejpam-4586	406	9	)	)	PUNCT
ejpam-4586	406	10	)	)	PUNCT
ejpam-4586	407	1	=	=	PUNCT
ejpam-4586	407	2	0	0	X
ejpam-4586	407	3	.	.	X
ejpam-4586	407	4	i.8	i.8	X
ejpam-4586	407	5	)	)	PUNCT
ejpam-4586	407	6	µγ	µγ	PROPN
ejpam-4586	407	7	̸=	̸=	PROPN
ejpam-4586	407	8	0	0	NUM
ejpam-4586	407	9	,	,	PUNCT
ejpam-4586	407	10	ρ	ρ	PROPN
ejpam-4586	407	11	=	=	SYM
ejpam-4586	407	12	0	0	NUM
ejpam-4586	407	13	.	.	PUNCT
ejpam-4586	408	1	we	we	PRON
ejpam-4586	408	2	can	can	AUX
ejpam-4586	408	3	set	set	VERB
ejpam-4586	408	4	γ	γ	X
ejpam-4586	408	5	=	=	SYM
ejpam-4586	408	6	1	1	NUM
ejpam-4586	408	7	.	.	PUNCT
ejpam-4586	409	1	the	the	DET
ejpam-4586	409	2	multiplication	multiplication	NOUN
ejpam-4586	409	3	table	table	NOUN
ejpam-4586	409	4	of	of	ADP
ejpam-4586	409	5	a	a	PRON
ejpam-4586	409	6	is	be	AUX
ejpam-4586	409	7	given	give	VERB
ejpam-4586	409	8	by	by	ADP
ejpam-4586	409	9	:	:	PUNCT
ejpam-4586	409	10	e2	e2	PROPN
ejpam-4586	409	11	=	=	SYM
ejpam-4586	409	12	e	e	PROPN
ejpam-4586	409	13	,	,	PUNCT
ejpam-4586	409	14	ee0	ee0	X
ejpam-4586	409	15	=	=	PUNCT
ejpam-4586	409	16	1	1	NUM
ejpam-4586	409	17	2e0	2e0	NUM
ejpam-4586	409	18	,	,	PUNCT
ejpam-4586	409	19	ee1	ee1	NOUN
ejpam-4586	410	1	=	=	SYM
ejpam-4586	410	2	λe1	λe1	NOUN
ejpam-4586	410	3	,	,	PUNCT
ejpam-4586	410	4	ee2	ee2	NOUN
ejpam-4586	410	5	=	=	SYM
ejpam-4586	410	6	λe2	λe2	PROPN
ejpam-4586	410	7	,	,	PUNCT
ejpam-4586	410	8	e20	e20	NOUN
ejpam-4586	410	9	=	=	SYM
ejpam-4586	410	10	0	0	NUM
ejpam-4586	410	11	,	,	PUNCT
ejpam-4586	410	12	e21	e21	PROPN
ejpam-4586	410	13	=	=	SYM
ejpam-4586	410	14	e0	e0	PROPN
ejpam-4586	410	15	,	,	PUNCT
ejpam-4586	410	16	e22	e22	NOUN
ejpam-4586	410	17	=	=	SYM
ejpam-4586	410	18	µe0	µe0	ADJ
ejpam-4586	410	19	,	,	PUNCT
ejpam-4586	410	20	e0e1	e0e1	NOUN
ejpam-4586	410	21	=	=	NOUN
ejpam-4586	410	22	0	0	NUM
ejpam-4586	410	23	,	,	PUNCT
ejpam-4586	410	24	e0e2	e0e2	NOUN
ejpam-4586	410	25	=	=	SYM
ejpam-4586	410	26	0	0	NUM
ejpam-4586	410	27	,	,	PUNCT
ejpam-4586	410	28	e1e2	e1e2	X
ejpam-4586	410	29	=	=	SYM
ejpam-4586	410	30	0	0	NUM
ejpam-4586	410	31	.	.	PUNCT
ejpam-4586	411	1	a	a	DET
ejpam-4586	411	2	verifies	verifie	NOUN
ejpam-4586	411	3	the	the	DET
ejpam-4586	411	4	polynomial	polynomial	ADJ
ejpam-4586	411	5	identity	identity	NOUN
ejpam-4586	411	6	:	:	PUNCT
ejpam-4586	411	7	(	(	PUNCT
ejpam-4586	411	8	x3)2	x3)2	PUNCT
ejpam-4586	411	9	+	+	NOUN
ejpam-4586	411	10	2ω(x)2x4	2ω(x)2x4	NUM
ejpam-4586	411	11	−	−	NUM
ejpam-4586	411	12	2ω(x)3x3	2ω(x)3x3	NOUN
ejpam-4586	411	13	+	+	CCONJ
ejpam-4586	411	14	ω(x)4x2	ω(x)4x2	NOUN
ejpam-4586	411	15	−	−	PROPN
ejpam-4586	411	16	2ω(x)5x	2ω(x)5x	NUM
ejpam-4586	412	1	=	=	SYM
ejpam-4586	412	2	0	0	PROPN
ejpam-4586	412	3	.	.	NUM
ejpam-4586	412	4	i.9	i.9	PUNCT
ejpam-4586	412	5	)	)	PUNCT
ejpam-4586	413	1	µρ	µρ	ADV
ejpam-4586	413	2	̸=	̸=	PROPN
ejpam-4586	413	3	0	0	NUM
ejpam-4586	413	4	,	,	PUNCT
ejpam-4586	413	5	γ	γ	X
ejpam-4586	413	6	=	=	SYM
ejpam-4586	413	7	0	0	NUM
ejpam-4586	413	8	.	.	PUNCT
ejpam-4586	414	1	we	we	PRON
ejpam-4586	414	2	can	can	AUX
ejpam-4586	414	3	set	set	VERB
ejpam-4586	414	4	ρ	ρ	PROPN
ejpam-4586	414	5	=	=	SYM
ejpam-4586	414	6	ρ	ρ	PROPN
ejpam-4586	414	7	=	=	SYM
ejpam-4586	414	8	1	1	NUM
ejpam-4586	414	9	.	.	PUNCT
ejpam-4586	415	1	the	the	DET
ejpam-4586	415	2	multiplication	multiplication	NOUN
ejpam-4586	415	3	table	table	NOUN
ejpam-4586	415	4	of	of	ADP
ejpam-4586	415	5	a	a	PRON
ejpam-4586	415	6	is	be	AUX
ejpam-4586	415	7	given	give	VERB
ejpam-4586	415	8	by	by	ADP
ejpam-4586	415	9	:	:	PUNCT
ejpam-4586	415	10	e2	e2	PROPN
ejpam-4586	415	11	=	=	SYM
ejpam-4586	415	12	e	e	PROPN
ejpam-4586	415	13	,	,	PUNCT
ejpam-4586	415	14	ee0	ee0	X
ejpam-4586	415	15	=	=	PUNCT
ejpam-4586	415	16	1	1	NUM
ejpam-4586	415	17	2e0	2e0	NUM
ejpam-4586	415	18	,	,	PUNCT
ejpam-4586	415	19	ee1	ee1	NOUN
ejpam-4586	416	1	=	=	SYM
ejpam-4586	416	2	λe1	λe1	NOUN
ejpam-4586	416	3	,	,	PUNCT
ejpam-4586	416	4	ee2	ee2	NOUN
ejpam-4586	416	5	=	=	SYM
ejpam-4586	416	6	λe2	λe2	PROPN
ejpam-4586	416	7	,	,	PUNCT
ejpam-4586	416	8	e20	e20	NOUN
ejpam-4586	416	9	=	=	SYM
ejpam-4586	416	10	0	0	NUM
ejpam-4586	416	11	,	,	PUNCT
ejpam-4586	416	12	e21	e21	NUM
ejpam-4586	416	13	=	=	SYM
ejpam-4586	416	14	0	0	NUM
ejpam-4586	416	15	,	,	PUNCT
ejpam-4586	416	16	e22	e22	X
ejpam-4586	416	17	=	=	SYM
ejpam-4586	416	18	e0	e0	PROPN
ejpam-4586	416	19	,	,	PUNCT
ejpam-4586	416	20	e0e1	e0e1	NOUN
ejpam-4586	416	21	=	=	SYM
ejpam-4586	416	22	0	0	NUM
ejpam-4586	416	23	,	,	PUNCT
ejpam-4586	416	24	e0e2	e0e2	NOUN
ejpam-4586	416	25	=	=	SYM
ejpam-4586	416	26	0	0	NUM
ejpam-4586	416	27	,	,	PUNCT
ejpam-4586	416	28	e1e2	e1e2	X
ejpam-4586	416	29	=	=	SYM
ejpam-4586	416	30	e0	e0	PROPN
ejpam-4586	416	31	.	.	PUNCT
ejpam-4586	417	1	a	a	DET
ejpam-4586	417	2	verifies	verifie	NOUN
ejpam-4586	417	3	the	the	DET
ejpam-4586	417	4	polynomial	polynomial	ADJ
ejpam-4586	417	5	identity	identity	NOUN
ejpam-4586	417	6	:	:	PUNCT
ejpam-4586	417	7	(	(	PUNCT
ejpam-4586	417	8	x2	x2	INTJ
ejpam-4586	417	9	−	−	PROPN
ejpam-4586	418	1	2λ̄ω(x)x)3	2λ̄ω(x)x)3	NUM
ejpam-4586	419	1	−	−	PROPN
ejpam-4586	420	1	(	(	PUNCT
ejpam-4586	420	2	λ−	λ−	PROPN
ejpam-4586	420	3	2λ̄)ω(x)2(x2	2λ̄)ω(x)2(x2	NOUN
ejpam-4586	420	4	−	−	PROPN
ejpam-4586	420	5	2λ̄ω(x)x)2	2λ̄ω(x)x)2	NUM
ejpam-4586	420	6	+	+	CCONJ
ejpam-4586	420	7	(	(	PUNCT
ejpam-4586	420	8	λ+	λ+	NUM
ejpam-4586	420	9	2λ̄−	2λ̄−	NUM
ejpam-4586	420	10	2)ω(x)4(x2	2)ω(x)4(x2	NUM
ejpam-4586	420	11	−	−	NOUN
ejpam-4586	420	12	2λ̄ω(x	2λ̄ω(x	NUM
ejpam-4586	420	13	)	)	PUNCT
ejpam-4586	420	14	)	)	PUNCT
ejpam-4586	421	1	=	=	PUNCT
ejpam-4586	421	2	0	0	X
ejpam-4586	421	3	.	.	PUNCT
ejpam-4586	422	1	if	if	SCONJ
ejpam-4586	422	2	q	q	NOUN
ejpam-4586	422	3	is	be	AUX
ejpam-4586	422	4	regular	regular	ADJ
ejpam-4586	422	5	then	then	ADV
ejpam-4586	422	6	det(m	det(m	PROPN
ejpam-4586	422	7	)	)	PUNCT
ejpam-4586	422	8	̸=	̸=	PROPN
ejpam-4586	422	9	0	0	NUM
ejpam-4586	422	10	therefore	therefore	ADV
ejpam-4586	422	11	β0µ	β0µ	X
ejpam-4586	422	12	̸=	̸=	PROPN
ejpam-4586	422	13	0	0	NUM
ejpam-4586	422	14	and	and	CCONJ
ejpam-4586	422	15	we	we	PRON
ejpam-4586	422	16	have	have	AUX
ejpam-4586	422	17	:	:	PUNCT
ejpam-4586	422	18	i.10	i.10	NOUN
ejpam-4586	422	19	)	)	PUNCT
ejpam-4586	422	20	γ	γ	X
ejpam-4586	422	21	=	=	SYM
ejpam-4586	422	22	ρ	ρ	PROPN
ejpam-4586	422	23	=	=	SYM
ejpam-4586	422	24	0	0	PROPN
ejpam-4586	422	25	.	.	PUNCT
ejpam-4586	423	1	the	the	DET
ejpam-4586	423	2	table	table	NOUN
ejpam-4586	423	3	of	of	ADP
ejpam-4586	423	4	a	a	PRON
ejpam-4586	423	5	is	be	AUX
ejpam-4586	423	6	:	:	PUNCT
ejpam-4586	423	7	e2	e2	PROPN
ejpam-4586	423	8	=	=	SYM
ejpam-4586	423	9	e	e	PROPN
ejpam-4586	423	10	,	,	PUNCT
ejpam-4586	423	11	ee0	ee0	X
ejpam-4586	423	12	=	=	PUNCT
ejpam-4586	423	13	1	1	NUM
ejpam-4586	423	14	2e0	2e0	NUM
ejpam-4586	423	15	,	,	PUNCT
ejpam-4586	423	16	ee1	ee1	NOUN
ejpam-4586	424	1	=	=	SYM
ejpam-4586	424	2	λe1	λe1	NOUN
ejpam-4586	424	3	,	,	PUNCT
ejpam-4586	424	4	ee2	ee2	NOUN
ejpam-4586	424	5	=	=	SYM
ejpam-4586	424	6	λe2	λe2	PROPN
ejpam-4586	424	7	,	,	PUNCT
ejpam-4586	424	8	e0e1	e0e1	NOUN
ejpam-4586	424	9	=	=	PROPN
ejpam-4586	424	10	e0	e0	PROPN
ejpam-4586	424	11	,	,	PUNCT
ejpam-4586	424	12	e22	e22	PROPN
ejpam-4586	424	13	=	=	SYM
ejpam-4586	424	14	e0	e0	PROPN
ejpam-4586	424	15	.	.	PUNCT
ejpam-4586	425	1	where	where	SCONJ
ejpam-4586	425	2	e1	e1	NOUN
ejpam-4586	425	3	is	be	AUX
ejpam-4586	425	4	replaced	replace	VERB
ejpam-4586	425	5	by	by	ADP
ejpam-4586	425	6	β−1	β−1	SYM
ejpam-4586	425	7	0	0	NUM
ejpam-4586	425	8	e1	e1	PROPN
ejpam-4586	425	9	and	and	CCONJ
ejpam-4586	425	10	e0	e0	PROPN
ejpam-4586	425	11	by	by	ADP
ejpam-4586	425	12	µ−1e0	µ−1e0	NOUN
ejpam-4586	425	13	.	.	PUNCT
ejpam-4586	426	1	a	a	DET
ejpam-4586	426	2	verifies	verifie	NOUN
ejpam-4586	426	3	the	the	DET
ejpam-4586	426	4	polynomial	polynomial	ADJ
ejpam-4586	426	5	identity	identity	NOUN
ejpam-4586	426	6	:	:	PUNCT
ejpam-4586	426	7	(	(	PUNCT
ejpam-4586	426	8	x3)2	x3)2	PUNCT
ejpam-4586	426	9	+	+	NOUN
ejpam-4586	426	10	2ω(x)2x4−2ω(x)3x3+ω(x)4x2−2ω(x)5x	2ω(x)2x4−2ω(x)3x3+ω(x)4x2−2ω(x)5x	NUM
ejpam-4586	426	11	=	=	SYM
ejpam-4586	426	12	0	0	NUM
ejpam-4586	426	13	.	.	PUNCT
ejpam-4586	427	1	i.11	i.11	X
ejpam-4586	427	2	)	)	PUNCT
ejpam-4586	427	3	γ	γ	NOUN
ejpam-4586	427	4	=	=	SYM
ejpam-4586	427	5	0	0	NUM
ejpam-4586	427	6	and	and	CCONJ
ejpam-4586	427	7	ρ	ρ	NUM
ejpam-4586	427	8	̸=	̸=	PROPN
ejpam-4586	427	9	0	0	NUM
ejpam-4586	427	10	.	.	PUNCT
ejpam-4586	428	1	the	the	DET
ejpam-4586	428	2	table	table	NOUN
ejpam-4586	428	3	of	of	ADP
ejpam-4586	428	4	a	a	PRON
ejpam-4586	428	5	is	be	AUX
ejpam-4586	428	6	:	:	PUNCT
ejpam-4586	428	7	e2	e2	PROPN
ejpam-4586	428	8	=	=	SYM
ejpam-4586	428	9	e	e	PROPN
ejpam-4586	428	10	,	,	PUNCT
ejpam-4586	428	11	ee0	ee0	X
ejpam-4586	428	12	=	=	PUNCT
ejpam-4586	428	13	1	1	NUM
ejpam-4586	428	14	2e0	2e0	NUM
ejpam-4586	428	15	,	,	PUNCT
ejpam-4586	428	16	ee1	ee1	NOUN
ejpam-4586	429	1	=	=	SYM
ejpam-4586	429	2	λe1	λe1	NOUN
ejpam-4586	429	3	,	,	PUNCT
ejpam-4586	429	4	ee2	ee2	NOUN
ejpam-4586	429	5	=	=	SYM
ejpam-4586	429	6	λe2	λe2	PROPN
ejpam-4586	429	7	,	,	PUNCT
ejpam-4586	429	8	e0e1	e0e1	NOUN
ejpam-4586	429	9	=	=	PROPN
ejpam-4586	429	10	e0	e0	PROPN
ejpam-4586	429	11	,	,	PUNCT
ejpam-4586	429	12	e1e2	e1e2	X
ejpam-4586	429	13	=	=	SYM
ejpam-4586	429	14	ρe0	ρe0	NOUN
ejpam-4586	429	15	,	,	PUNCT
ejpam-4586	429	16	e22	e22	PROPN
ejpam-4586	429	17	=	=	SYM
ejpam-4586	429	18	e0	e0	PROPN
ejpam-4586	429	19	,	,	PUNCT
ejpam-4586	429	20	where	where	SCONJ
ejpam-4586	429	21	e1	e1	NOUN
ejpam-4586	429	22	is	be	AUX
ejpam-4586	429	23	replaced	replace	VERB
ejpam-4586	429	24	by	by	ADP
ejpam-4586	429	25	β−1	β−1	SYM
ejpam-4586	429	26	0	0	NUM
ejpam-4586	429	27	e1	e1	PROPN
ejpam-4586	429	28	and	and	CCONJ
ejpam-4586	429	29	e0	e0	PROPN
ejpam-4586	429	30	by	by	ADP
ejpam-4586	429	31	µ−1e0	µ−1e0	NOUN
ejpam-4586	429	32	.	.	PUNCT
ejpam-4586	430	1	a	a	DET
ejpam-4586	430	2	verifies	verifie	NOUN
ejpam-4586	430	3	the	the	DET
ejpam-4586	430	4	polynomial	polynomial	ADJ
ejpam-4586	430	5	identity	identity	NOUN
ejpam-4586	430	6	:	:	PUNCT
ejpam-4586	430	7	(	(	PUNCT
ejpam-4586	430	8	x3)2	x3)2	PUNCT
ejpam-4586	430	9	+	+	NOUN
ejpam-4586	430	10	2ω(x)2x4	2ω(x)2x4	NUM
ejpam-4586	430	11	−	−	NUM
ejpam-4586	430	12	2ω(x)3x3	2ω(x)3x3	NOUN
ejpam-4586	430	13	+	+	CCONJ
ejpam-4586	430	14	ω(x)4x2	ω(x)4x2	NOUN
ejpam-4586	430	15	−	−	PROPN
ejpam-4586	430	16	2ω(x)5x	2ω(x)5x	NUM
ejpam-4586	430	17	=	=	SYM
ejpam-4586	430	18	0	0	NUM
ejpam-4586	430	19	.	.	PUNCT
ejpam-4586	430	20	i.12	i.12	NOUN
ejpam-4586	430	21	)	)	PUNCT
ejpam-4586	430	22	ρ	ρ	PROPN
ejpam-4586	430	23	=	=	SYM
ejpam-4586	430	24	0	0	NUM
ejpam-4586	430	25	and	and	CCONJ
ejpam-4586	430	26	γ	γ	PROPN
ejpam-4586	430	27	̸=	̸=	PROPN
ejpam-4586	430	28	0	0	NUM
ejpam-4586	430	29	.	.	PUNCT
ejpam-4586	431	1	the	the	DET
ejpam-4586	431	2	table	table	NOUN
ejpam-4586	431	3	of	of	ADP
ejpam-4586	431	4	a	a	PRON
ejpam-4586	431	5	is	be	AUX
ejpam-4586	431	6	:	:	PUNCT
ejpam-4586	431	7	e2	e2	PROPN
ejpam-4586	431	8	=	=	SYM
ejpam-4586	431	9	e	e	PROPN
ejpam-4586	431	10	,	,	PUNCT
ejpam-4586	431	11	ee0	ee0	X
ejpam-4586	431	12	=	=	PUNCT
ejpam-4586	431	13	1	1	NUM
ejpam-4586	431	14	2e0	2e0	NUM
ejpam-4586	431	15	,	,	PUNCT
ejpam-4586	431	16	ee1	ee1	NOUN
ejpam-4586	432	1	=	=	SYM
ejpam-4586	432	2	λe1	λe1	NOUN
ejpam-4586	432	3	,	,	PUNCT
ejpam-4586	432	4	ee2	ee2	NOUN
ejpam-4586	432	5	=	=	SYM
ejpam-4586	432	6	λe2	λe2	PROPN
ejpam-4586	432	7	,	,	PUNCT
ejpam-4586	432	8	e0e1	e0e1	NOUN
ejpam-4586	432	9	=	=	PROPN
ejpam-4586	432	10	e0	e0	PROPN
ejpam-4586	432	11	,	,	PUNCT
ejpam-4586	432	12	e21	e21	PROPN
ejpam-4586	432	13	=	=	SYM
ejpam-4586	432	14	ρe0	ρe0	NOUN
ejpam-4586	432	15	,	,	PUNCT
ejpam-4586	432	16	e22	e22	PROPN
ejpam-4586	432	17	=	=	SYM
ejpam-4586	432	18	e0	e0	PROPN
ejpam-4586	432	19	,	,	PUNCT
ejpam-4586	432	20	where	where	SCONJ
ejpam-4586	432	21	e1	e1	NOUN
ejpam-4586	432	22	is	be	AUX
ejpam-4586	432	23	replaced	replace	VERB
ejpam-4586	432	24	by	by	ADP
ejpam-4586	432	25	β−1	β−1	SYM
ejpam-4586	432	26	0	0	NUM
ejpam-4586	432	27	e1	e1	PROPN
ejpam-4586	432	28	and	and	CCONJ
ejpam-4586	432	29	e0	e0	PROPN
ejpam-4586	432	30	by	by	ADP
ejpam-4586	432	31	µ−1e0	µ−1e0	NOUN
ejpam-4586	432	32	.	.	PUNCT
ejpam-4586	433	1	a	a	DET
ejpam-4586	433	2	verifies	verifie	NOUN
ejpam-4586	433	3	the	the	DET
ejpam-4586	433	4	polynomial	polynomial	ADJ
ejpam-4586	433	5	identity	identity	NOUN
ejpam-4586	433	6	:	:	PUNCT
ejpam-4586	433	7	(	(	PUNCT
ejpam-4586	433	8	x3)2	x3)2	PUNCT
ejpam-4586	433	9	+	+	NOUN
ejpam-4586	433	10	2ω(x)2x4	2ω(x)2x4	NUM
ejpam-4586	433	11	−	−	NUM
ejpam-4586	433	12	2ω(x)3x3	2ω(x)3x3	NOUN
ejpam-4586	433	13	+	+	CCONJ
ejpam-4586	433	14	ω(x)4x2	ω(x)4x2	NOUN
ejpam-4586	433	15	−	−	PROPN
ejpam-4586	433	16	2ω(x)5x	2ω(x)5x	NUM
ejpam-4586	433	17	=	=	SYM
ejpam-4586	433	18	0	0	PROPN
ejpam-4586	433	19	.	.	PUNCT
ejpam-4586	433	20	i.13	i.13	NOUN
ejpam-4586	433	21	)	)	PUNCT
ejpam-4586	433	22	ρ	ρ	PROPN
ejpam-4586	433	23	̸=	̸=	PROPN
ejpam-4586	433	24	0	0	NUM
ejpam-4586	433	25	and	and	CCONJ
ejpam-4586	433	26	γ	γ	PROPN
ejpam-4586	433	27	̸=	̸=	PROPN
ejpam-4586	433	28	0	0	NUM
ejpam-4586	433	29	.	.	PUNCT
ejpam-4586	434	1	the	the	DET
ejpam-4586	434	2	table	table	NOUN
ejpam-4586	434	3	of	of	ADP
ejpam-4586	434	4	a	a	PRON
ejpam-4586	434	5	is	be	AUX
ejpam-4586	434	6	:	:	PUNCT
ejpam-4586	434	7	e2	e2	PROPN
ejpam-4586	434	8	=	=	SYM
ejpam-4586	434	9	e	e	PROPN
ejpam-4586	434	10	,	,	PUNCT
ejpam-4586	434	11	ee0	ee0	X
ejpam-4586	434	12	=	=	PUNCT
ejpam-4586	434	13	1	1	NUM
ejpam-4586	434	14	2e0	2e0	NUM
ejpam-4586	434	15	,	,	PUNCT
ejpam-4586	434	16	ee1	ee1	NOUN
ejpam-4586	435	1	=	=	SYM
ejpam-4586	435	2	λe1	λe1	NOUN
ejpam-4586	435	3	,	,	PUNCT
ejpam-4586	435	4	ee2	ee2	NOUN
ejpam-4586	435	5	=	=	SYM
ejpam-4586	435	6	λe2	λe2	PROPN
ejpam-4586	435	7	,	,	PUNCT
ejpam-4586	435	8	e0e1	e0e1	NOUN
ejpam-4586	435	9	=	=	PROPN
ejpam-4586	435	10	e0	e0	PROPN
ejpam-4586	435	11	,	,	PUNCT
ejpam-4586	435	12	e1e2	e1e2	X
ejpam-4586	435	13	=	=	SYM
ejpam-4586	435	14	e0	e0	PROPN
ejpam-4586	435	15	,	,	PUNCT
ejpam-4586	435	16	e21	e21	PROPN
ejpam-4586	435	17	=	=	SYM
ejpam-4586	435	18	e0	e0	PROPN
ejpam-4586	435	19	,	,	PUNCT
ejpam-4586	435	20	e22	e22	PROPN
ejpam-4586	435	21	=	=	SYM
ejpam-4586	435	22	ρe0	ρe0	NOUN
ejpam-4586	435	23	,	,	PUNCT
ejpam-4586	435	24	where	where	SCONJ
ejpam-4586	435	25	e1	e1	NOUN
ejpam-4586	435	26	is	be	AUX
ejpam-4586	435	27	replaced	replace	VERB
ejpam-4586	435	28	by	by	ADP
ejpam-4586	435	29	β−1	β−1	SYM
ejpam-4586	435	30	0	0	NUM
ejpam-4586	435	31	e1	e1	PROPN
ejpam-4586	435	32	and	and	CCONJ
ejpam-4586	435	33	e2	e2	PROPN
ejpam-4586	435	34	by	by	ADP
ejpam-4586	435	35	β0ρ	β0ρ	SYM
ejpam-4586	435	36	−1e2	−1e2	PUNCT
ejpam-4586	435	37	and	and	CCONJ
ejpam-4586	435	38	e0	e0	PROPN
ejpam-4586	435	39	by	by	ADP
ejpam-4586	435	40	β2	β2	PROPN
ejpam-4586	435	41	0γ	0γ	PROPN
ejpam-4586	435	42	−1e0	−1e0	NUM
ejpam-4586	435	43	.	.	PUNCT
ejpam-4586	436	1	a	a	DET
ejpam-4586	436	2	verifies	verifie	NOUN
ejpam-4586	436	3	the	the	DET
ejpam-4586	436	4	polynomial	polynomial	ADJ
ejpam-4586	436	5	identity	identity	NOUN
ejpam-4586	436	6	:	:	PUNCT
ejpam-4586	436	7	(	(	PUNCT
ejpam-4586	436	8	x3)2	x3)2	PUNCT
ejpam-4586	436	9	+	+	NOUN
ejpam-4586	436	10	2ω(x)2x4	2ω(x)2x4	NUM
ejpam-4586	436	11	−	−	NUM
ejpam-4586	436	12	2ω(x)3x3	2ω(x)3x3	NOUN
ejpam-4586	436	13	+	+	CCONJ
ejpam-4586	436	14	ω(x)4x2	ω(x)4x2	NOUN
ejpam-4586	436	15	−	−	PROPN
ejpam-4586	436	16	2ω(x)5x	2ω(x)5x	NUM
ejpam-4586	436	17	=	=	SYM
ejpam-4586	436	18	0	0	PROPN
ejpam-4586	436	19	.	.	X
ejpam-4586	436	20	ii	ii	NOUN
ejpam-4586	436	21	)	)	PUNCT
ejpam-4586	436	22	α0	α0	ADJ
ejpam-4586	436	23	=	=	SYM
ejpam-4586	436	24	α1	α1	PROPN
ejpam-4586	436	25	=	=	SYM
ejpam-4586	436	26	γ1	γ1	NOUN
ejpam-4586	436	27	=	=	SYM
ejpam-4586	436	28	β1	β1	PROPN
ejpam-4586	436	29	=	=	SYM
ejpam-4586	436	30	0	0	NUM
ejpam-4586	436	31	,	,	PUNCT
ejpam-4586	436	32	γ0	γ0	VERB
ejpam-4586	436	33	̸=	̸=	PROPN
ejpam-4586	436	34	0	0	NUM
ejpam-4586	436	35	.	.	PUNCT
ejpam-4586	437	1	then	then	ADV
ejpam-4586	437	2	the	the	DET
ejpam-4586	437	3	multiplication	multiplication	NOUN
ejpam-4586	437	4	table	table	NOUN
ejpam-4586	437	5	of	of	ADP
ejpam-4586	437	6	a	a	PRON
ejpam-4586	437	7	is	be	AUX
ejpam-4586	437	8	:	:	PUNCT
ejpam-4586	437	9	e2	e2	PROPN
ejpam-4586	437	10	=	=	SYM
ejpam-4586	437	11	e	e	PROPN
ejpam-4586	437	12	,	,	PUNCT
ejpam-4586	437	13	ee0	ee0	X
ejpam-4586	437	14	=	=	PUNCT
ejpam-4586	437	15	1	1	NUM
ejpam-4586	437	16	2e0	2e0	NUM
ejpam-4586	437	17	,	,	PUNCT
ejpam-4586	437	18	ee1	ee1	NOUN
ejpam-4586	438	1	=	=	SYM
ejpam-4586	438	2	λe1	λe1	NOUN
ejpam-4586	438	3	,	,	PUNCT
ejpam-4586	438	4	ee2	ee2	NOUN
ejpam-4586	438	5	=	=	SYM
ejpam-4586	438	6	λe2	λe2	PROPN
ejpam-4586	438	7	,	,	PUNCT
ejpam-4586	438	8	e20	e20	NOUN
ejpam-4586	438	9	=	=	SYM
ejpam-4586	438	10	0	0	NUM
ejpam-4586	438	11	,	,	PUNCT
ejpam-4586	438	12	e21	e21	PROPN
ejpam-4586	438	13	=	=	SYM
ejpam-4586	438	14	γe0	γe0	PROPN
ejpam-4586	438	15	,	,	PUNCT
ejpam-4586	438	16	e22	e22	NOUN
ejpam-4586	438	17	=	=	SYM
ejpam-4586	438	18	µe0	µe0	ADJ
ejpam-4586	438	19	,	,	PUNCT
ejpam-4586	438	20	e0e1	e0e1	NOUN
ejpam-4586	438	21	=	=	SYM
ejpam-4586	438	22	β0e0	β0e0	X
ejpam-4586	438	23	,	,	PUNCT
ejpam-4586	438	24	e0e2	e0e2	NOUN
ejpam-4586	438	25	=	=	SYM
ejpam-4586	438	26	γ0e0	γ0e0	X
ejpam-4586	438	27	,	,	PUNCT
ejpam-4586	438	28	e1e2	e1e2	X
ejpam-4586	438	29	=	=	SYM
ejpam-4586	438	30	ρe0	ρe0	NOUN
ejpam-4586	438	31	.	.	PUNCT
ejpam-4586	439	1	we	we	PRON
ejpam-4586	439	2	can	can	AUX
ejpam-4586	439	3	set	set	VERB
ejpam-4586	439	4	γ0	γ0	NOUN
ejpam-4586	439	5	=	=	SYM
ejpam-4586	439	6	1	1	X
ejpam-4586	439	7	.	.	PUNCT
ejpam-4586	439	8	ii.1	ii.1	NOUN
ejpam-4586	439	9	)	)	PUNCT
ejpam-4586	439	10	suppose	suppose	VERB
ejpam-4586	439	11	β0	β0	PROPN
ejpam-4586	439	12	̸=	̸=	PROPN
ejpam-4586	439	13	0	0	NUM
ejpam-4586	439	14	,	,	PUNCT
ejpam-4586	439	15	then	then	ADV
ejpam-4586	439	16	we	we	PRON
ejpam-4586	439	17	can	can	AUX
ejpam-4586	439	18	set	set	VERB
ejpam-4586	439	19	β0	β0	PROPN
ejpam-4586	439	20	=	=	SYM
ejpam-4586	439	21	1	1	NUM
ejpam-4586	439	22	and	and	CCONJ
ejpam-4586	439	23	e2	e2	PROPN
ejpam-4586	439	24	=	=	SYM
ejpam-4586	439	25	e	e	PROPN
ejpam-4586	439	26	,	,	PUNCT
ejpam-4586	439	27	ee0	ee0	X
ejpam-4586	439	28	=	=	PUNCT
ejpam-4586	439	29	1	1	NUM
ejpam-4586	439	30	2e0	2e0	NUM
ejpam-4586	439	31	,	,	PUNCT
ejpam-4586	439	32	ee1	ee1	NOUN
ejpam-4586	440	1	=	=	SYM
ejpam-4586	440	2	λe1	λe1	NOUN
ejpam-4586	440	3	,	,	PUNCT
ejpam-4586	440	4	ee2	ee2	NOUN
ejpam-4586	440	5	=	=	SYM
ejpam-4586	440	6	λe2	λe2	PROPN
ejpam-4586	440	7	,	,	PUNCT
ejpam-4586	440	8	e20	e20	NOUN
ejpam-4586	440	9	=	=	SYM
ejpam-4586	440	10	0	0	NUM
ejpam-4586	440	11	,	,	PUNCT
ejpam-4586	440	12	e21	e21	PROPN
ejpam-4586	440	13	=	=	SYM
ejpam-4586	440	14	γe0	γe0	PROPN
ejpam-4586	440	15	,	,	PUNCT
ejpam-4586	440	16	e22	e22	NOUN
ejpam-4586	440	17	=	=	SYM
ejpam-4586	440	18	µe0	µe0	ADJ
ejpam-4586	440	19	,	,	PUNCT
ejpam-4586	440	20	e0e1	e0e1	NOUN
ejpam-4586	440	21	=	=	PROPN
ejpam-4586	440	22	e0	e0	PROPN
ejpam-4586	440	23	,	,	PUNCT
ejpam-4586	440	24	e0e2	e0e2	PROPN
ejpam-4586	440	25	=	=	SYM
ejpam-4586	440	26	e0	e0	PROPN
ejpam-4586	440	27	,	,	PUNCT
ejpam-4586	440	28	e1e2	e1e2	X
ejpam-4586	440	29	=	=	SYM
ejpam-4586	440	30	ρe0	ρe0	NOUN
ejpam-4586	440	31	.	.	PUNCT
ejpam-4586	441	1	a	a	DET
ejpam-4586	441	2	verifies	verifie	NOUN
ejpam-4586	441	3	the	the	DET
ejpam-4586	441	4	polynomial	polynomial	ADJ
ejpam-4586	441	5	identity	identity	NOUN
ejpam-4586	441	6	:	:	PUNCT
ejpam-4586	441	7	(	(	PUNCT
ejpam-4586	441	8	x3)2	x3)2	PUNCT
ejpam-4586	441	9	+	+	NOUN
ejpam-4586	441	10	2ω(x)2x4	2ω(x)2x4	NUM
ejpam-4586	441	11	−	−	NUM
ejpam-4586	441	12	2ω(x)3x3	2ω(x)3x3	NOUN
ejpam-4586	441	13	+	+	CCONJ
ejpam-4586	441	14	ω(x)4x2	ω(x)4x2	NOUN
ejpam-4586	441	15	−	−	PROPN
ejpam-4586	441	16	2ω(x)5x	2ω(x)5x	NUM
ejpam-4586	441	17	=	=	SYM
ejpam-4586	441	18	0	0	X
ejpam-4586	441	19	.	.	PUNCT
ejpam-4586	441	20	suppose	suppose	VERB
ejpam-4586	441	21	β0	β0	PROPN
ejpam-4586	441	22	=	=	SYM
ejpam-4586	441	23	0	0	PROPN
ejpam-4586	441	24	,	,	PUNCT
ejpam-4586	441	25	then	then	ADV
ejpam-4586	441	26	detm	detm	NOUN
ejpam-4586	441	27	=	=	SYM
ejpam-4586	441	28	−γ	−γ	NOUN
ejpam-4586	441	29	.	.	PUNCT
ejpam-4586	442	1	let	let	VERB
ejpam-4586	442	2	q	q	PRON
ejpam-4586	442	3	be	be	AUX
ejpam-4586	442	4	the	the	DET
ejpam-4586	442	5	quadratic	quadratic	NOUN
ejpam-4586	442	6	of	of	ADP
ejpam-4586	442	7	polar	polar	ADJ
ejpam-4586	442	8	forms	form	NOUN
ejpam-4586	442	9	φ	φ	PROPN
ejpam-4586	442	10	defined	define	VERB
ejpam-4586	442	11	from	from	ADP
ejpam-4586	442	12	a1/2	a1/2	PROPN
ejpam-4586	442	13	⊕	⊕	PROPN
ejpam-4586	442	14	aλ	aλ	PROPN
ejpam-4586	442	15	⊕	⊕	PROPN
ejpam-4586	442	16	aλ	aλ	VERB
ejpam-4586	442	17	to	to	ADP
ejpam-4586	442	18	k	k	PROPN
ejpam-4586	442	19	by	by	ADP
ejpam-4586	442	20	:	:	PUNCT
ejpam-4586	442	21	w.	w.	PROPN
ejpam-4586	442	22	a.	a.	PROPN
ejpam-4586	442	23	zangre	zangre	PROPN
ejpam-4586	442	24	,	,	PUNCT
ejpam-4586	442	25	a.	a.	NOUN
ejpam-4586	442	26	conseibo	conseibo	PROPN
ejpam-4586	442	27	/	/	SYM
ejpam-4586	442	28	eur	eur	PROPN
ejpam-4586	442	29	.	.	PUNCT
ejpam-4586	443	1	j.	j.	PROPN
ejpam-4586	443	2	pure	pure	PROPN
ejpam-4586	443	3	appl	appl	PROPN
ejpam-4586	443	4	.	.	PROPN
ejpam-4586	443	5	math	math	PROPN
ejpam-4586	443	6	,	,	PUNCT
ejpam-4586	443	7	15	15	NUM
ejpam-4586	443	8	(	(	PUNCT
ejpam-4586	443	9	4	4	NUM
ejpam-4586	443	10	)	)	PUNCT
ejpam-4586	443	11	(	(	PUNCT
ejpam-4586	443	12	2022	2022	NUM
ejpam-4586	443	13	)	)	PUNCT
ejpam-4586	443	14	,	,	PUNCT
ejpam-4586	443	15	1887	1887	NUM
ejpam-4586	443	16	-	-	SYM
ejpam-4586	443	17	1907	1907	NUM
ejpam-4586	443	18	1901	1901	NUM
ejpam-4586	443	19	φ(e0	φ(e0	NOUN
ejpam-4586	443	20	,	,	PUNCT
ejpam-4586	443	21	e0	e0	PROPN
ejpam-4586	443	22	)	)	PUNCT
ejpam-4586	444	1	=	=	SYM
ejpam-4586	444	2	q(e0	q(e0	NOUN
ejpam-4586	444	3	)	)	PUNCT
ejpam-4586	444	4	=	=	SYM
ejpam-4586	444	5	0	0	NUM
ejpam-4586	444	6	,	,	PUNCT
ejpam-4586	444	7	φ(e1	φ(e1	NOUN
ejpam-4586	444	8	,	,	PUNCT
ejpam-4586	444	9	e1	e1	PROPN
ejpam-4586	444	10	)	)	PUNCT
ejpam-4586	444	11	=	=	SYM
ejpam-4586	444	12	q(e1	q(e1	NOUN
ejpam-4586	444	13	)	)	PUNCT
ejpam-4586	444	14	=	=	SYM
ejpam-4586	445	1	γ	γ	X
ejpam-4586	445	2	,	,	PUNCT
ejpam-4586	445	3	φ(e2	φ(e2	NOUN
ejpam-4586	445	4	,	,	PUNCT
ejpam-4586	445	5	e2	e2	PROPN
ejpam-4586	445	6	)	)	PUNCT
ejpam-4586	445	7	=	=	SYM
ejpam-4586	445	8	q(e2	q(e2	NOUN
ejpam-4586	445	9	)	)	PUNCT
ejpam-4586	445	10	=	=	SYM
ejpam-4586	445	11	µ	µ	NOUN
ejpam-4586	445	12	,	,	PUNCT
ejpam-4586	445	13	φ(e0	φ(e0	NOUN
ejpam-4586	445	14	,	,	PUNCT
ejpam-4586	445	15	e1	e1	NOUN
ejpam-4586	445	16	)	)	PUNCT
ejpam-4586	445	17	=	=	SYM
ejpam-4586	445	18	0	0	NUM
ejpam-4586	445	19	,	,	PUNCT
ejpam-4586	445	20	φ(e0	φ(e0	NOUN
ejpam-4586	445	21	,	,	PUNCT
ejpam-4586	445	22	e2	e2	NOUN
ejpam-4586	445	23	)	)	PUNCT
ejpam-4586	445	24	=	=	SYM
ejpam-4586	445	25	1	1	NUM
ejpam-4586	445	26	,	,	PUNCT
ejpam-4586	445	27	φ(e1	φ(e1	NOUN
ejpam-4586	445	28	,	,	PUNCT
ejpam-4586	445	29	e2	e2	PROPN
ejpam-4586	445	30	)	)	PUNCT
ejpam-4586	445	31	=	=	SYM
ejpam-4586	445	32	ρ	ρ	PROPN
ejpam-4586	445	33	.	.	PUNCT
ejpam-4586	446	1	the	the	DET
ejpam-4586	446	2	matrix	matrix	NOUN
ejpam-4586	446	3	of	of	ADP
ejpam-4586	446	4	q	q	NOUN
ejpam-4586	446	5	in	in	ADP
ejpam-4586	446	6	the	the	DET
ejpam-4586	446	7	basis	basis	NOUN
ejpam-4586	446	8	(	(	PUNCT
ejpam-4586	446	9	e0	e0	PROPN
ejpam-4586	446	10	,	,	PUNCT
ejpam-4586	446	11	e1	e1	PROPN
ejpam-4586	446	12	,	,	PUNCT
ejpam-4586	446	13	e2	e2	PROPN
ejpam-4586	446	14	)	)	PUNCT
ejpam-4586	446	15	is	be	AUX
ejpam-4586	446	16	given	give	VERB
ejpam-4586	446	17	by	by	ADP
ejpam-4586	446	18	:	:	PUNCT
ejpam-4586	446	19	m	m	PROPN
ejpam-4586	446	20	=	=	SYM
ejpam-4586	446	21			X
ejpam-4586	446	22	0	0	NUM
ejpam-4586	446	23	0	0	NUM
ejpam-4586	446	24	1	1	NUM
ejpam-4586	446	25	0	0	NUM
ejpam-4586	446	26	γ	γ	X
ejpam-4586	446	27	ρ	ρ	PROPN
ejpam-4586	446	28	1	1	NUM
ejpam-4586	446	29	ρ	ρ	PROPN
ejpam-4586	446	30	µ	µ	DET
ejpam-4586	446	31			PROPN
ejpam-4586	446	32	,	,	PUNCT
ejpam-4586	446	33	so	so	ADV
ejpam-4586	446	34	detm	detm	NOUN
ejpam-4586	446	35	=	=	SYM
ejpam-4586	446	36	−γ	−γ	NOUN
ejpam-4586	446	37	.	.	PUNCT
ejpam-4586	447	1	ii.2	ii.2	PROPN
ejpam-4586	447	2	)	)	PUNCT
ejpam-4586	448	1	if	if	SCONJ
ejpam-4586	448	2	detm	detm	NOUN
ejpam-4586	448	3	=	=	SYM
ejpam-4586	448	4	0	0	NUM
ejpam-4586	448	5	,	,	PUNCT
ejpam-4586	448	6	γ	γ	NOUN
ejpam-4586	448	7	=	=	SYM
ejpam-4586	448	8	0	0	PROPN
ejpam-4586	448	9	and	and	CCONJ
ejpam-4586	448	10	e2	e2	PROPN
ejpam-4586	448	11	=	=	SYM
ejpam-4586	448	12	e	e	PROPN
ejpam-4586	448	13	,	,	PUNCT
ejpam-4586	448	14	ee0	ee0	X
ejpam-4586	448	15	=	=	PUNCT
ejpam-4586	448	16	1	1	NUM
ejpam-4586	448	17	2e0	2e0	NUM
ejpam-4586	448	18	,	,	PUNCT
ejpam-4586	448	19	ee1	ee1	NOUN
ejpam-4586	449	1	=	=	SYM
ejpam-4586	449	2	λe1	λe1	NOUN
ejpam-4586	449	3	,	,	PUNCT
ejpam-4586	449	4	ee2	ee2	NOUN
ejpam-4586	449	5	=	=	SYM
ejpam-4586	449	6	λe2	λe2	PROPN
ejpam-4586	449	7	,	,	PUNCT
ejpam-4586	449	8	e20	e20	NOUN
ejpam-4586	449	9	=	=	SYM
ejpam-4586	449	10	0	0	NUM
ejpam-4586	449	11	,	,	PUNCT
ejpam-4586	449	12	e21	e21	NUM
ejpam-4586	449	13	=	=	SYM
ejpam-4586	449	14	0	0	NUM
ejpam-4586	449	15	,	,	PUNCT
ejpam-4586	449	16	e22	e22	X
ejpam-4586	449	17	=	=	SYM
ejpam-4586	449	18	µe0	µe0	ADJ
ejpam-4586	449	19	,	,	PUNCT
ejpam-4586	449	20	e0e1	e0e1	NOUN
ejpam-4586	449	21	=	=	NOUN
ejpam-4586	449	22	0	0	NUM
ejpam-4586	449	23	,	,	PUNCT
ejpam-4586	449	24	e0e2	e0e2	NOUN
ejpam-4586	449	25	=	=	SYM
ejpam-4586	449	26	e0	e0	PROPN
ejpam-4586	449	27	,	,	PUNCT
ejpam-4586	449	28	e1e2	e1e2	X
ejpam-4586	449	29	=	=	SYM
ejpam-4586	449	30	ρe0	ρe0	NOUN
ejpam-4586	449	31	.	.	PUNCT
ejpam-4586	450	1	a	a	DET
ejpam-4586	450	2	verifies	verifie	NOUN
ejpam-4586	450	3	the	the	DET
ejpam-4586	450	4	polynomial	polynomial	ADJ
ejpam-4586	450	5	identity	identity	NOUN
ejpam-4586	450	6	:	:	PUNCT
ejpam-4586	450	7	(	(	PUNCT
ejpam-4586	450	8	x3)2	x3)2	PUNCT
ejpam-4586	450	9	+	+	NOUN
ejpam-4586	450	10	2ω(x)2x4	2ω(x)2x4	NUM
ejpam-4586	450	11	−	−	NUM
ejpam-4586	450	12	2ω(x)3x3	2ω(x)3x3	NOUN
ejpam-4586	450	13	+	+	CCONJ
ejpam-4586	450	14	ω(x)4x2	ω(x)4x2	NOUN
ejpam-4586	450	15	−	−	PROPN
ejpam-4586	450	16	2ω(x)5x	2ω(x)5x	NUM
ejpam-4586	451	1	=	=	SYM
ejpam-4586	451	2	0	0	NUM
ejpam-4586	451	3	.	.	X
ejpam-4586	452	1	ii.3	ii.3	PROPN
ejpam-4586	452	2	)	)	PUNCT
ejpam-4586	453	1	if	if	SCONJ
ejpam-4586	453	2	detm	detm	VERB
ejpam-4586	453	3	̸=	̸=	PROPN
ejpam-4586	453	4	0	0	NUM
ejpam-4586	453	5	,	,	PUNCT
ejpam-4586	453	6	we	we	PRON
ejpam-4586	453	7	can	can	AUX
ejpam-4586	453	8	set	set	VERB
ejpam-4586	453	9	γ	γ	X
ejpam-4586	453	10	=	=	SYM
ejpam-4586	453	11	1	1	NUM
ejpam-4586	453	12	and	and	CCONJ
ejpam-4586	453	13	e2	e2	PROPN
ejpam-4586	453	14	=	=	SYM
ejpam-4586	453	15	e	e	PROPN
ejpam-4586	453	16	,	,	PUNCT
ejpam-4586	453	17	ee0	ee0	X
ejpam-4586	453	18	=	=	PUNCT
ejpam-4586	453	19	1	1	NUM
ejpam-4586	453	20	2e0	2e0	NUM
ejpam-4586	453	21	,	,	PUNCT
ejpam-4586	453	22	ee1	ee1	NOUN
ejpam-4586	454	1	=	=	SYM
ejpam-4586	454	2	λe1	λe1	NOUN
ejpam-4586	454	3	,	,	PUNCT
ejpam-4586	454	4	ee2	ee2	NOUN
ejpam-4586	454	5	=	=	SYM
ejpam-4586	454	6	λe2	λe2	PROPN
ejpam-4586	454	7	,	,	PUNCT
ejpam-4586	454	8	e20	e20	NOUN
ejpam-4586	454	9	=	=	SYM
ejpam-4586	454	10	0	0	NUM
ejpam-4586	454	11	,	,	PUNCT
ejpam-4586	454	12	e21	e21	PROPN
ejpam-4586	454	13	=	=	SYM
ejpam-4586	454	14	e0	e0	PROPN
ejpam-4586	454	15	,	,	PUNCT
ejpam-4586	454	16	e22	e22	NOUN
ejpam-4586	454	17	=	=	SYM
ejpam-4586	454	18	µe0	µe0	ADJ
ejpam-4586	454	19	,	,	PUNCT
ejpam-4586	454	20	e0e1	e0e1	NOUN
ejpam-4586	454	21	=	=	NOUN
ejpam-4586	454	22	0	0	NUM
ejpam-4586	454	23	,	,	PUNCT
ejpam-4586	454	24	e0e2	e0e2	NOUN
ejpam-4586	454	25	=	=	SYM
ejpam-4586	454	26	e0	e0	PROPN
ejpam-4586	454	27	,	,	PUNCT
ejpam-4586	454	28	e1e2	e1e2	X
ejpam-4586	454	29	=	=	PUNCT
ejpam-4586	454	30	ρe0.a	ρe0.a	VERB
ejpam-4586	454	31	verifies	verifie	NOUN
ejpam-4586	454	32	the	the	DET
ejpam-4586	454	33	polynomial	polynomial	ADJ
ejpam-4586	454	34	identity	identity	NOUN
ejpam-4586	454	35	:	:	PUNCT
ejpam-4586	454	36	(	(	PUNCT
ejpam-4586	454	37	x3)2	x3)2	PUNCT
ejpam-4586	454	38	+	+	NOUN
ejpam-4586	454	39	2ω(x)2x4	2ω(x)2x4	NUM
ejpam-4586	454	40	−	−	NUM
ejpam-4586	454	41	2ω(x)3x3	2ω(x)3x3	NOUN
ejpam-4586	455	1	+	+	CCONJ
ejpam-4586	455	2	ω(x)4x2	ω(x)4x2	NOUN
ejpam-4586	455	3	−	−	PROPN
ejpam-4586	455	4	2ω(x)5x	2ω(x)5x	NUM
ejpam-4586	456	1	=	=	SYM
ejpam-4586	456	2	0	0	PROPN
ejpam-4586	456	3	.	.	X
ejpam-4586	456	4	iii	iii	X
ejpam-4586	456	5	)	)	PUNCT
ejpam-4586	456	6	α1	α1	PROPN
ejpam-4586	456	7	=	=	SYM
ejpam-4586	456	8	α0	α0	PROPN
ejpam-4586	456	9	=	=	SYM
ejpam-4586	456	10	β1	β1	PROPN
ejpam-4586	456	11	=	=	SYM
ejpam-4586	456	12	γ0	γ0	PROPN
ejpam-4586	456	13	=	=	SYM
ejpam-4586	456	14	µ	µ	X
ejpam-4586	456	15	=	=	SYM
ejpam-4586	456	16	0	0	NUM
ejpam-4586	456	17	and	and	CCONJ
ejpam-4586	456	18	γ1	γ1	PROPN
ejpam-4586	456	19	̸=	̸=	PROPN
ejpam-4586	456	20	0	0	NUM
ejpam-4586	456	21	.	.	PUNCT
ejpam-4586	457	1	we	we	PRON
ejpam-4586	457	2	can	can	AUX
ejpam-4586	457	3	set	set	VERB
ejpam-4586	457	4	γ1	γ1	NOUN
ejpam-4586	457	5	=	=	NOUN
ejpam-4586	457	6	1	1	X
ejpam-4586	457	7	.	.	PUNCT
ejpam-4586	458	1	the	the	DET
ejpam-4586	458	2	table	table	NOUN
ejpam-4586	458	3	of	of	ADP
ejpam-4586	458	4	a	a	PRON
ejpam-4586	458	5	is	be	AUX
ejpam-4586	458	6	:	:	PUNCT
ejpam-4586	458	7	e2	e2	PROPN
ejpam-4586	458	8	=	=	SYM
ejpam-4586	458	9	e	e	PROPN
ejpam-4586	458	10	,	,	PUNCT
ejpam-4586	458	11	ee0	ee0	X
ejpam-4586	458	12	=	=	PUNCT
ejpam-4586	458	13	1	1	NUM
ejpam-4586	458	14	2e0	2e0	NUM
ejpam-4586	458	15	,	,	PUNCT
ejpam-4586	458	16	ee1	ee1	NOUN
ejpam-4586	459	1	=	=	SYM
ejpam-4586	459	2	λe1	λe1	NOUN
ejpam-4586	459	3	,	,	PUNCT
ejpam-4586	459	4	ee2	ee2	NOUN
ejpam-4586	459	5	=	=	SYM
ejpam-4586	459	6	λe2	λe2	PROPN
ejpam-4586	459	7	,	,	PUNCT
ejpam-4586	459	8	e20	e20	NOUN
ejpam-4586	459	9	=	=	SYM
ejpam-4586	459	10	0	0	NUM
ejpam-4586	459	11	,	,	PUNCT
ejpam-4586	459	12	e21	e21	PROPN
ejpam-4586	459	13	=	=	SYM
ejpam-4586	459	14	γe0	γe0	PROPN
ejpam-4586	459	15	,	,	PUNCT
ejpam-4586	459	16	e22	e22	X
ejpam-4586	459	17	=	=	SYM
ejpam-4586	459	18	0	0	NUM
ejpam-4586	459	19	,	,	PUNCT
ejpam-4586	459	20	e1e2	e1e2	X
ejpam-4586	459	21	=	=	SYM
ejpam-4586	459	22	ρe0	ρe0	NOUN
ejpam-4586	459	23	,	,	PUNCT
ejpam-4586	459	24	e0e1	e0e1	NOUN
ejpam-4586	459	25	=	=	SYM
ejpam-4586	459	26	β0e0	β0e0	X
ejpam-4586	459	27	,	,	PUNCT
ejpam-4586	459	28	e0e2	e0e2	NOUN
ejpam-4586	459	29	=	=	SYM
ejpam-4586	459	30	e1	e1	NOUN
ejpam-4586	459	31	.	.	PUNCT
ejpam-4586	460	1	iii.1	iii.1	VERB
ejpam-4586	460	2	)	)	PUNCT
ejpam-4586	460	3	suppose	suppose	VERB
ejpam-4586	460	4	β0	β0	PROPN
ejpam-4586	460	5	̸=	̸=	PROPN
ejpam-4586	460	6	0	0	NUM
ejpam-4586	460	7	,	,	PUNCT
ejpam-4586	460	8	then	then	ADV
ejpam-4586	460	9	we	we	PRON
ejpam-4586	460	10	can	can	AUX
ejpam-4586	460	11	set	set	VERB
ejpam-4586	460	12	β0	β0	PROPN
ejpam-4586	460	13	=	=	SYM
ejpam-4586	460	14	1	1	NUM
ejpam-4586	460	15	and	and	CCONJ
ejpam-4586	460	16	e2	e2	PROPN
ejpam-4586	460	17	=	=	SYM
ejpam-4586	460	18	e	e	PROPN
ejpam-4586	460	19	,	,	PUNCT
ejpam-4586	460	20	ee0	ee0	X
ejpam-4586	460	21	=	=	PUNCT
ejpam-4586	460	22	1	1	NUM
ejpam-4586	460	23	2e0	2e0	NUM
ejpam-4586	460	24	,	,	PUNCT
ejpam-4586	460	25	ee1	ee1	NOUN
ejpam-4586	461	1	=	=	SYM
ejpam-4586	461	2	λe1	λe1	NOUN
ejpam-4586	461	3	,	,	PUNCT
ejpam-4586	461	4	ee2	ee2	NOUN
ejpam-4586	461	5	=	=	SYM
ejpam-4586	461	6	λe2	λe2	PROPN
ejpam-4586	461	7	,	,	PUNCT
ejpam-4586	461	8	e20	e20	NOUN
ejpam-4586	461	9	=	=	SYM
ejpam-4586	461	10	0	0	NUM
ejpam-4586	461	11	,	,	PUNCT
ejpam-4586	461	12	e21	e21	PROPN
ejpam-4586	461	13	=	=	SYM
ejpam-4586	461	14	γe0	γe0	PROPN
ejpam-4586	461	15	,	,	PUNCT
ejpam-4586	461	16	e22	e22	X
ejpam-4586	461	17	=	=	SYM
ejpam-4586	461	18	0	0	NUM
ejpam-4586	461	19	,	,	PUNCT
ejpam-4586	461	20	e1e2	e1e2	X
ejpam-4586	461	21	=	=	SYM
ejpam-4586	461	22	ρe0	ρe0	NOUN
ejpam-4586	461	23	,	,	PUNCT
ejpam-4586	461	24	e0e1	e0e1	NOUN
ejpam-4586	461	25	=	=	PROPN
ejpam-4586	461	26	e0	e0	PROPN
ejpam-4586	461	27	,	,	PUNCT
ejpam-4586	461	28	e0e2	e0e2	NOUN
ejpam-4586	461	29	=	=	SYM
ejpam-4586	461	30	e1	e1	NOUN
ejpam-4586	461	31	.	.	PUNCT
ejpam-4586	461	32	suppose	suppose	VERB
ejpam-4586	461	33	β0	β0	PROPN
ejpam-4586	461	34	=	=	SYM
ejpam-4586	461	35	0	0	PROPN
ejpam-4586	461	36	,	,	PUNCT
ejpam-4586	461	37	then	then	ADV
ejpam-4586	461	38	detm	detm	NOUN
ejpam-4586	461	39	=	=	SYM
ejpam-4586	461	40	−γ	−γ	NOUN
ejpam-4586	461	41	.	.	PUNCT
ejpam-4586	462	1	let	let	VERB
ejpam-4586	462	2	q	q	PRON
ejpam-4586	462	3	be	be	AUX
ejpam-4586	462	4	the	the	DET
ejpam-4586	462	5	quadratic	quadratic	NOUN
ejpam-4586	462	6	of	of	ADP
ejpam-4586	462	7	polar	polar	ADJ
ejpam-4586	462	8	forms	form	NOUN
ejpam-4586	462	9	φ	φ	PROPN
ejpam-4586	462	10	defined	define	VERB
ejpam-4586	462	11	from	from	ADP
ejpam-4586	462	12	a1/2	a1/2	PROPN
ejpam-4586	462	13	⊕	⊕	PROPN
ejpam-4586	462	14	aλ	aλ	PROPN
ejpam-4586	462	15	⊕	⊕	PROPN
ejpam-4586	462	16	aλ	aλ	VERB
ejpam-4586	462	17	to	to	ADP
ejpam-4586	462	18	k	k	PROPN
ejpam-4586	462	19	by	by	ADP
ejpam-4586	462	20	:	:	PUNCT
ejpam-4586	462	21	φ(e0	φ(e0	NOUN
ejpam-4586	462	22	,	,	PUNCT
ejpam-4586	462	23	e0	e0	PROPN
ejpam-4586	462	24	)	)	PUNCT
ejpam-4586	463	1	=	=	SYM
ejpam-4586	463	2	q(e0	q(e0	NOUN
ejpam-4586	463	3	)	)	PUNCT
ejpam-4586	463	4	=	=	SYM
ejpam-4586	463	5	0	0	NUM
ejpam-4586	463	6	,	,	PUNCT
ejpam-4586	463	7	φ(e1	φ(e1	NOUN
ejpam-4586	463	8	,	,	PUNCT
ejpam-4586	463	9	e1	e1	PROPN
ejpam-4586	463	10	)	)	PUNCT
ejpam-4586	463	11	=	=	SYM
ejpam-4586	463	12	q(e1	q(e1	NOUN
ejpam-4586	463	13	)	)	PUNCT
ejpam-4586	463	14	=	=	SYM
ejpam-4586	464	1	γ	γ	X
ejpam-4586	464	2	,	,	PUNCT
ejpam-4586	464	3	φ(e2	φ(e2	NOUN
ejpam-4586	464	4	,	,	PUNCT
ejpam-4586	464	5	e2	e2	PROPN
ejpam-4586	464	6	)	)	PUNCT
ejpam-4586	464	7	=	=	SYM
ejpam-4586	464	8	q(e2	q(e2	NOUN
ejpam-4586	464	9	)	)	PUNCT
ejpam-4586	464	10	=	=	SYM
ejpam-4586	464	11	0	0	NUM
ejpam-4586	464	12	,	,	PUNCT
ejpam-4586	464	13	φ(e0	φ(e0	NOUN
ejpam-4586	464	14	,	,	PUNCT
ejpam-4586	464	15	e1	e1	NOUN
ejpam-4586	464	16	)	)	PUNCT
ejpam-4586	464	17	=	=	SYM
ejpam-4586	464	18	0	0	NUM
ejpam-4586	464	19	,	,	PUNCT
ejpam-4586	464	20	φ(e0	φ(e0	NOUN
ejpam-4586	464	21	,	,	PUNCT
ejpam-4586	464	22	e2	e2	NOUN
ejpam-4586	464	23	)	)	PUNCT
ejpam-4586	464	24	=	=	SYM
ejpam-4586	464	25	1	1	NUM
ejpam-4586	464	26	,	,	PUNCT
ejpam-4586	464	27	φ(e1	φ(e1	NOUN
ejpam-4586	464	28	,	,	PUNCT
ejpam-4586	464	29	e2	e2	PROPN
ejpam-4586	464	30	)	)	PUNCT
ejpam-4586	464	31	=	=	SYM
ejpam-4586	464	32	ρ	ρ	PROPN
ejpam-4586	464	33	.	.	PUNCT
ejpam-4586	465	1	the	the	DET
ejpam-4586	465	2	matrix	matrix	NOUN
ejpam-4586	465	3	of	of	ADP
ejpam-4586	465	4	q	q	NOUN
ejpam-4586	465	5	in	in	ADP
ejpam-4586	465	6	the	the	DET
ejpam-4586	465	7	basis	basis	NOUN
ejpam-4586	465	8	(	(	PUNCT
ejpam-4586	465	9	e0	e0	PROPN
ejpam-4586	465	10	,	,	PUNCT
ejpam-4586	465	11	e1	e1	PROPN
ejpam-4586	465	12	,	,	PUNCT
ejpam-4586	465	13	e2	e2	PROPN
ejpam-4586	465	14	)	)	PUNCT
ejpam-4586	465	15	is	be	AUX
ejpam-4586	465	16	given	give	VERB
ejpam-4586	465	17	by	by	ADP
ejpam-4586	465	18	:	:	PUNCT
ejpam-4586	465	19	m	m	PROPN
ejpam-4586	465	20	=	=	SYM
ejpam-4586	466	1			X
ejpam-4586	466	2	0	0	NUM
ejpam-4586	466	3	0	0	NUM
ejpam-4586	466	4	1	1	NUM
ejpam-4586	466	5	0	0	NUM
ejpam-4586	466	6	γ	γ	X
ejpam-4586	466	7	ρ	ρ	PROPN
ejpam-4586	466	8	1	1	NUM
ejpam-4586	466	9	ρ	ρ	NOUN
ejpam-4586	466	10	0	0	NUM
ejpam-4586	467	1			PROPN
ejpam-4586	467	2	,	,	PUNCT
ejpam-4586	467	3	so	so	ADV
ejpam-4586	467	4	detm	detm	NOUN
ejpam-4586	467	5	=	=	SYM
ejpam-4586	467	6	−γ	−γ	NOUN
ejpam-4586	467	7	.	.	PUNCT
ejpam-4586	468	1	iii.2	iii.2	X
ejpam-4586	468	2	)	)	PUNCT
ejpam-4586	468	3	if	if	SCONJ
ejpam-4586	468	4	detm	detm	NOUN
ejpam-4586	468	5	=	=	SYM
ejpam-4586	468	6	0	0	NUM
ejpam-4586	468	7	,	,	PUNCT
ejpam-4586	468	8	γ	γ	NOUN
ejpam-4586	468	9	=	=	SYM
ejpam-4586	468	10	0	0	PROPN
ejpam-4586	468	11	and	and	CCONJ
ejpam-4586	469	1	e2	e2	PROPN
ejpam-4586	469	2	=	=	SYM
ejpam-4586	469	3	e	e	PROPN
ejpam-4586	469	4	,	,	PUNCT
ejpam-4586	469	5	ee0	ee0	X
ejpam-4586	469	6	=	=	PUNCT
ejpam-4586	469	7	1	1	NUM
ejpam-4586	469	8	2e0	2e0	NUM
ejpam-4586	469	9	,	,	PUNCT
ejpam-4586	469	10	ee1	ee1	NOUN
ejpam-4586	470	1	=	=	SYM
ejpam-4586	470	2	λe1	λe1	NOUN
ejpam-4586	470	3	,	,	PUNCT
ejpam-4586	470	4	ee2	ee2	NOUN
ejpam-4586	470	5	=	=	SYM
ejpam-4586	470	6	λe2	λe2	PROPN
ejpam-4586	470	7	,	,	PUNCT
ejpam-4586	470	8	e20	e20	NOUN
ejpam-4586	470	9	=	=	SYM
ejpam-4586	470	10	0	0	NUM
ejpam-4586	470	11	,	,	PUNCT
ejpam-4586	470	12	e21	e21	NUM
ejpam-4586	470	13	=	=	SYM
ejpam-4586	470	14	0	0	NUM
ejpam-4586	470	15	,	,	PUNCT
ejpam-4586	470	16	e22	e22	X
ejpam-4586	470	17	=	=	SYM
ejpam-4586	470	18	0	0	NUM
ejpam-4586	470	19	,	,	PUNCT
ejpam-4586	470	20	e1e2	e1e2	X
ejpam-4586	470	21	=	=	SYM
ejpam-4586	470	22	ρe0	ρe0	NOUN
ejpam-4586	470	23	,	,	PUNCT
ejpam-4586	470	24	e0e1	e0e1	NOUN
ejpam-4586	470	25	=	=	NOUN
ejpam-4586	470	26	0	0	NUM
ejpam-4586	470	27	,	,	PUNCT
ejpam-4586	470	28	e0e2	e0e2	NOUN
ejpam-4586	470	29	=	=	SYM
ejpam-4586	470	30	e1	e1	NOUN
ejpam-4586	470	31	.	.	PUNCT
ejpam-4586	471	1	a	a	DET
ejpam-4586	471	2	verifies	verifie	NOUN
ejpam-4586	471	3	the	the	DET
ejpam-4586	471	4	polynomial	polynomial	ADJ
ejpam-4586	471	5	identity	identity	NOUN
ejpam-4586	471	6	:	:	PUNCT
ejpam-4586	471	7	(	(	PUNCT
ejpam-4586	471	8	x2−2λ̄ω(x)x)3−(λ−2λ̄)ω(x)2(x2−2λ̄ω(x)x)2+(λ+2λ̄−2)ω(x)4(x2−2λ̄ω(x	x2−2λ̄ω(x)x)3−(λ−2λ̄)ω(x)2(x2−2λ̄ω(x)x)2+(λ+2λ̄−2)ω(x)4(x2−2λ̄ω(x	X
ejpam-4586	471	9	)	)	PUNCT
ejpam-4586	471	10	)	)	PUNCT
ejpam-4586	472	1	=	=	PUNCT
ejpam-4586	472	2	0	0	X
ejpam-4586	472	3	.	.	PUNCT
ejpam-4586	473	1	iii.3	iii.3	PROPN
ejpam-4586	473	2	)	)	PUNCT
ejpam-4586	473	3	if	if	SCONJ
ejpam-4586	473	4	detm	detm	VERB
ejpam-4586	473	5	̸=	̸=	PROPN
ejpam-4586	473	6	0	0	NUM
ejpam-4586	473	7	,	,	PUNCT
ejpam-4586	473	8	γ	γ	X
ejpam-4586	473	9	̸=	̸=	PROPN
ejpam-4586	473	10	0	0	NUM
ejpam-4586	473	11	.	.	PUNCT
ejpam-4586	474	1	we	we	PRON
ejpam-4586	474	2	can	can	AUX
ejpam-4586	474	3	set	set	VERB
ejpam-4586	474	4	γ	γ	X
ejpam-4586	474	5	=	=	SYM
ejpam-4586	474	6	1	1	NUM
ejpam-4586	474	7	and	and	CCONJ
ejpam-4586	474	8	e2	e2	PROPN
ejpam-4586	474	9	=	=	SYM
ejpam-4586	474	10	e	e	PROPN
ejpam-4586	474	11	,	,	PUNCT
ejpam-4586	474	12	ee0	ee0	X
ejpam-4586	474	13	=	=	PUNCT
ejpam-4586	474	14	1	1	NUM
ejpam-4586	474	15	2e0	2e0	NUM
ejpam-4586	474	16	,	,	PUNCT
ejpam-4586	474	17	ee1	ee1	NOUN
ejpam-4586	475	1	=	=	SYM
ejpam-4586	475	2	λe1	λe1	NOUN
ejpam-4586	475	3	,	,	PUNCT
ejpam-4586	475	4	ee2	ee2	NOUN
ejpam-4586	475	5	=	=	SYM
ejpam-4586	475	6	λe2	λe2	PROPN
ejpam-4586	475	7	,	,	PUNCT
ejpam-4586	475	8	e20	e20	NOUN
ejpam-4586	475	9	=	=	SYM
ejpam-4586	475	10	0	0	NUM
ejpam-4586	475	11	,	,	PUNCT
ejpam-4586	475	12	e21	e21	PROPN
ejpam-4586	475	13	=	=	SYM
ejpam-4586	475	14	e0	e0	PROPN
ejpam-4586	475	15	,	,	PUNCT
ejpam-4586	475	16	e22	e22	PROPN
ejpam-4586	475	17	=	=	SYM
ejpam-4586	475	18	0	0	NUM
ejpam-4586	475	19	,	,	PUNCT
ejpam-4586	475	20	e1e2	e1e2	X
ejpam-4586	475	21	=	=	SYM
ejpam-4586	475	22	ρe0	ρe0	NOUN
ejpam-4586	475	23	,	,	PUNCT
ejpam-4586	475	24	e0e1	e0e1	NOUN
ejpam-4586	475	25	=	=	NOUN
ejpam-4586	475	26	0	0	NUM
ejpam-4586	475	27	,	,	PUNCT
ejpam-4586	475	28	e0e2	e0e2	NOUN
ejpam-4586	475	29	=	=	SYM
ejpam-4586	475	30	e1	e1	NOUN
ejpam-4586	475	31	.	.	PUNCT
ejpam-4586	476	1	a	a	DET
ejpam-4586	476	2	verifies	verifie	NOUN
ejpam-4586	476	3	the	the	DET
ejpam-4586	476	4	polynomial	polynomial	ADJ
ejpam-4586	476	5	identity	identity	NOUN
ejpam-4586	476	6	:	:	PUNCT
ejpam-4586	476	7	(	(	PUNCT
ejpam-4586	476	8	x2	x2	INTJ
ejpam-4586	476	9	−	−	PROPN
ejpam-4586	477	1	2λ̄ω(x)x)3	2λ̄ω(x)x)3	NUM
ejpam-4586	478	1	−	−	PROPN
ejpam-4586	479	1	(	(	PUNCT
ejpam-4586	479	2	λ	λ	X
ejpam-4586	479	3	−	−	PROPN
ejpam-4586	479	4	2λ̄)ω(x)2(x2	2λ̄)ω(x)2(x2	NUM
ejpam-4586	479	5	−	−	NOUN
ejpam-4586	479	6	2λ̄ω(x)x)2	2λ̄ω(x)x)2	NUM
ejpam-4586	480	1	+	+	CCONJ
ejpam-4586	480	2	(	(	PUNCT
ejpam-4586	480	3	λ	λ	X
ejpam-4586	480	4	+	+	X
ejpam-4586	480	5	2λ̄	2λ̄	NUM
ejpam-4586	480	6	−	−	NOUN
ejpam-4586	480	7	2)ω(x)4(x2	2)ω(x)4(x2	NOUN
ejpam-4586	480	8	−	−	NOUN
ejpam-4586	480	9	2λ̄ω(x	2λ̄ω(x	NUM
ejpam-4586	480	10	)	)	PUNCT
ejpam-4586	480	11	)	)	PUNCT
ejpam-4586	481	1	=	=	PUNCT
ejpam-4586	481	2	0	0	X
ejpam-4586	481	3	.	.	NOUN
ejpam-4586	481	4	iv	iv	X
ejpam-4586	481	5	)	)	PUNCT
ejpam-4586	481	6	α1	α1	PROPN
ejpam-4586	481	7	=	=	SYM
ejpam-4586	481	8	α0	α0	PROPN
ejpam-4586	481	9	=	=	SYM
ejpam-4586	481	10	β1	β1	PROPN
ejpam-4586	481	11	=	=	SYM
ejpam-4586	481	12	µ	µ	X
ejpam-4586	481	13	=	=	SYM
ejpam-4586	481	14	0	0	NUM
ejpam-4586	481	15	and	and	CCONJ
ejpam-4586	481	16	γ0γ1	γ0γ1	PRON
ejpam-4586	481	17	̸=	̸=	PROPN
ejpam-4586	481	18	0	0	NUM
ejpam-4586	481	19	.	.	PUNCT
ejpam-4586	482	1	the	the	DET
ejpam-4586	482	2	table	table	NOUN
ejpam-4586	482	3	of	of	ADP
ejpam-4586	482	4	a	a	PRON
ejpam-4586	482	5	is	be	AUX
ejpam-4586	482	6	:	:	PUNCT
ejpam-4586	482	7	e2	e2	PROPN
ejpam-4586	482	8	=	=	SYM
ejpam-4586	482	9	e	e	PROPN
ejpam-4586	482	10	,	,	PUNCT
ejpam-4586	482	11	ee0	ee0	X
ejpam-4586	482	12	=	=	PUNCT
ejpam-4586	482	13	1	1	NUM
ejpam-4586	482	14	2e0	2e0	NUM
ejpam-4586	482	15	,	,	PUNCT
ejpam-4586	482	16	ee1	ee1	NOUN
ejpam-4586	483	1	=	=	SYM
ejpam-4586	483	2	λe1	λe1	NOUN
ejpam-4586	483	3	,	,	PUNCT
ejpam-4586	483	4	ee2	ee2	NOUN
ejpam-4586	483	5	=	=	SYM
ejpam-4586	483	6	λe2	λe2	PROPN
ejpam-4586	483	7	,	,	PUNCT
ejpam-4586	483	8	e20	e20	NOUN
ejpam-4586	483	9	=	=	SYM
ejpam-4586	483	10	0	0	NUM
ejpam-4586	483	11	,	,	PUNCT
ejpam-4586	483	12	e21	e21	PROPN
ejpam-4586	483	13	=	=	SYM
ejpam-4586	483	14	γe0	γe0	PROPN
ejpam-4586	483	15	,	,	PUNCT
ejpam-4586	483	16	e22	e22	X
ejpam-4586	483	17	=	=	SYM
ejpam-4586	483	18	0	0	NUM
ejpam-4586	483	19	,	,	PUNCT
ejpam-4586	483	20	e1e2	e1e2	X
ejpam-4586	483	21	=	=	SYM
ejpam-4586	483	22	ρe0	ρe0	NOUN
ejpam-4586	483	23	,	,	PUNCT
ejpam-4586	483	24	e0e1	e0e1	NOUN
ejpam-4586	483	25	=	=	SYM
ejpam-4586	483	26	β0e0	β0e0	X
ejpam-4586	483	27	,	,	PUNCT
ejpam-4586	483	28	e0e2	e0e2	NOUN
ejpam-4586	483	29	=	=	SYM
ejpam-4586	483	30	γ0e0	γ0e0	X
ejpam-4586	483	31	+	+	X
ejpam-4586	483	32	γ1e1	γ1e1	X
ejpam-4586	483	33	.	.	PUNCT
ejpam-4586	483	34	w.	w.	PROPN
ejpam-4586	483	35	a.	a.	PROPN
ejpam-4586	483	36	zangre	zangre	PROPN
ejpam-4586	483	37	,	,	PUNCT
ejpam-4586	483	38	a.	a.	NOUN
ejpam-4586	483	39	conseibo	conseibo	PROPN
ejpam-4586	483	40	/	/	SYM
ejpam-4586	483	41	eur	eur	PROPN
ejpam-4586	483	42	.	.	PUNCT
ejpam-4586	484	1	j.	j.	PROPN
ejpam-4586	484	2	pure	pure	PROPN
ejpam-4586	484	3	appl	appl	PROPN
ejpam-4586	484	4	.	.	PROPN
ejpam-4586	484	5	math	math	PROPN
ejpam-4586	484	6	,	,	PUNCT
ejpam-4586	484	7	15	15	NUM
ejpam-4586	484	8	(	(	PUNCT
ejpam-4586	484	9	4	4	NUM
ejpam-4586	484	10	)	)	PUNCT
ejpam-4586	484	11	(	(	PUNCT
ejpam-4586	484	12	2022	2022	NUM
ejpam-4586	484	13	)	)	PUNCT
ejpam-4586	484	14	,	,	PUNCT
ejpam-4586	484	15	1887	1887	NUM
ejpam-4586	484	16	-	-	SYM
ejpam-4586	484	17	1907	1907	NUM
ejpam-4586	484	18	1902	1902	NUM
ejpam-4586	484	19	iv.1	iv.1	NOUN
ejpam-4586	484	20	)	)	PUNCT
ejpam-4586	484	21	β0	β0	NOUN
ejpam-4586	484	22	=	=	SYM
ejpam-4586	484	23	γ	γ	X
ejpam-4586	484	24	=	=	SYM
ejpam-4586	484	25	0	0	NUM
ejpam-4586	484	26	,	,	PUNCT
ejpam-4586	484	27	then	then	ADV
ejpam-4586	484	28	a	a	DET
ejpam-4586	484	29	verifies	verifie	NOUN
ejpam-4586	484	30	the	the	DET
ejpam-4586	484	31	polynomial	polynomial	ADJ
ejpam-4586	484	32	identity	identity	NOUN
ejpam-4586	484	33	:	:	PUNCT
ejpam-4586	484	34	(	(	PUNCT
ejpam-4586	484	35	x2	x2	INTJ
ejpam-4586	484	36	−	−	PROPN
ejpam-4586	484	37	2λ̄ω(x)x)3	2λ̄ω(x)x)3	NUM
ejpam-4586	484	38	−	−	PROPN
ejpam-4586	484	39	(	(	PUNCT
ejpam-4586	484	40	λ	λ	X
ejpam-4586	484	41	−	−	PROPN
ejpam-4586	484	42	2λ̄)ω(x)2(x2	2λ̄)ω(x)2(x2	NUM
ejpam-4586	484	43	−	−	NOUN
ejpam-4586	484	44	2λ̄ω(x)x)2	2λ̄ω(x)x)2	NUM
ejpam-4586	485	1	+	+	CCONJ
ejpam-4586	485	2	(	(	PUNCT
ejpam-4586	485	3	λ+	λ+	NUM
ejpam-4586	485	4	2λ̄−	2λ̄−	NUM
ejpam-4586	485	5	2)ω(x)4(x2	2)ω(x)4(x2	NUM
ejpam-4586	485	6	−	−	NOUN
ejpam-4586	485	7	2λ̄ω(x	2λ̄ω(x	NUM
ejpam-4586	485	8	)	)	PUNCT
ejpam-4586	485	9	)	)	PUNCT
ejpam-4586	486	1	=	=	PUNCT
ejpam-4586	486	2	0	0	X
ejpam-4586	486	3	.	.	X
ejpam-4586	486	4	iv.2	iv.2	PROPN
ejpam-4586	486	5	)	)	PUNCT
ejpam-4586	487	1	β0	β0	NOUN
ejpam-4586	487	2	=	=	SYM
ejpam-4586	487	3	0	0	NUM
ejpam-4586	487	4	,	,	PUNCT
ejpam-4586	487	5	ργ	ργ	ADP
ejpam-4586	487	6	̸=	̸=	PROPN
ejpam-4586	487	7	0	0	NUM
ejpam-4586	487	8	,	,	PUNCT
ejpam-4586	487	9	then	then	ADV
ejpam-4586	487	10	we	we	PRON
ejpam-4586	487	11	can	can	AUX
ejpam-4586	487	12	set	set	VERB
ejpam-4586	487	13	γ	γ	X
ejpam-4586	487	14	=	=	SYM
ejpam-4586	487	15	γ1	γ1	NOUN
ejpam-4586	487	16	=	=	SYM
ejpam-4586	487	17	1	1	NUM
ejpam-4586	487	18	and	and	CCONJ
ejpam-4586	487	19	e2	e2	PROPN
ejpam-4586	487	20	=	=	SYM
ejpam-4586	487	21	e	e	PROPN
ejpam-4586	487	22	,	,	PUNCT
ejpam-4586	487	23	ee0	ee0	X
ejpam-4586	488	1	=	=	PUNCT
ejpam-4586	488	2	1	1	NUM
ejpam-4586	488	3	2e0	2e0	NUM
ejpam-4586	488	4	,	,	PUNCT
ejpam-4586	488	5	ee1	ee1	NOUN
ejpam-4586	489	1	=	=	SYM
ejpam-4586	489	2	λe1	λe1	NOUN
ejpam-4586	489	3	,	,	PUNCT
ejpam-4586	489	4	ee2	ee2	NOUN
ejpam-4586	489	5	=	=	SYM
ejpam-4586	489	6	λe2	λe2	PROPN
ejpam-4586	489	7	,	,	PUNCT
ejpam-4586	489	8	e20	e20	NOUN
ejpam-4586	489	9	=	=	SYM
ejpam-4586	489	10	0	0	NUM
ejpam-4586	489	11	,	,	PUNCT
ejpam-4586	489	12	e21	e21	PROPN
ejpam-4586	489	13	=	=	SYM
ejpam-4586	489	14	e0	e0	PROPN
ejpam-4586	489	15	,	,	PUNCT
ejpam-4586	489	16	e22	e22	PROPN
ejpam-4586	489	17	=	=	SYM
ejpam-4586	489	18	0	0	NUM
ejpam-4586	489	19	,	,	PUNCT
ejpam-4586	489	20	e1e2	e1e2	X
ejpam-4586	489	21	=	=	SYM
ejpam-4586	489	22	ρe0	ρe0	NOUN
ejpam-4586	489	23	,	,	PUNCT
ejpam-4586	489	24	e0e1	e0e1	NOUN
ejpam-4586	489	25	=	=	NOUN
ejpam-4586	489	26	0	0	NUM
ejpam-4586	489	27	,	,	PUNCT
ejpam-4586	489	28	e0e2	e0e2	NOUN
ejpam-4586	489	29	=	=	SYM
ejpam-4586	489	30	γ0e0	γ0e0	X
ejpam-4586	489	31	+	+	NUM
ejpam-4586	489	32	e1	e1	NOUN
ejpam-4586	489	33	.	.	PUNCT
ejpam-4586	490	1	iv.3	iv.3	NUM
ejpam-4586	490	2	)	)	PUNCT
ejpam-4586	490	3	β0	β0	NOUN
ejpam-4586	490	4	=	=	SYM
ejpam-4586	490	5	ρ	ρ	PROPN
ejpam-4586	490	6	=	=	SYM
ejpam-4586	490	7	0	0	NUM
ejpam-4586	490	8	,	,	PUNCT
ejpam-4586	490	9	γ	γ	X
ejpam-4586	490	10	̸=	̸=	PROPN
ejpam-4586	490	11	0	0	NUM
ejpam-4586	490	12	,	,	PUNCT
ejpam-4586	490	13	then	then	ADV
ejpam-4586	490	14	we	we	PRON
ejpam-4586	490	15	can	can	AUX
ejpam-4586	490	16	set	set	VERB
ejpam-4586	490	17	γ	γ	X
ejpam-4586	490	18	=	=	SYM
ejpam-4586	490	19	γ1	γ1	NOUN
ejpam-4586	490	20	=	=	SYM
ejpam-4586	490	21	1	1	NUM
ejpam-4586	490	22	and	and	CCONJ
ejpam-4586	490	23	e2	e2	PROPN
ejpam-4586	490	24	=	=	SYM
ejpam-4586	490	25	e	e	PROPN
ejpam-4586	490	26	,	,	PUNCT
ejpam-4586	490	27	ee0	ee0	X
ejpam-4586	491	1	=	=	PUNCT
ejpam-4586	491	2	1	1	NUM
ejpam-4586	491	3	2e0	2e0	NUM
ejpam-4586	491	4	,	,	PUNCT
ejpam-4586	491	5	ee1	ee1	NOUN
ejpam-4586	492	1	=	=	SYM
ejpam-4586	492	2	λe1	λe1	NOUN
ejpam-4586	492	3	,	,	PUNCT
ejpam-4586	492	4	ee2	ee2	NOUN
ejpam-4586	492	5	=	=	SYM
ejpam-4586	492	6	λe2	λe2	PROPN
ejpam-4586	492	7	,	,	PUNCT
ejpam-4586	492	8	e20	e20	NOUN
ejpam-4586	492	9	=	=	SYM
ejpam-4586	492	10	0	0	NUM
ejpam-4586	492	11	,	,	PUNCT
ejpam-4586	492	12	e21	e21	PROPN
ejpam-4586	492	13	=	=	SYM
ejpam-4586	492	14	e0	e0	PROPN
ejpam-4586	492	15	,	,	PUNCT
ejpam-4586	492	16	e22	e22	PROPN
ejpam-4586	492	17	=	=	SYM
ejpam-4586	492	18	0	0	NUM
ejpam-4586	492	19	,	,	PUNCT
ejpam-4586	492	20	e1e2	e1e2	X
ejpam-4586	492	21	=	=	SYM
ejpam-4586	492	22	0	0	NUM
ejpam-4586	492	23	,	,	PUNCT
ejpam-4586	492	24	e0e1	e0e1	NOUN
ejpam-4586	492	25	=	=	NOUN
ejpam-4586	492	26	0	0	NUM
ejpam-4586	492	27	,	,	PUNCT
ejpam-4586	492	28	e0e2	e0e2	NOUN
ejpam-4586	492	29	=	=	SYM
ejpam-4586	492	30	γ0e0	γ0e0	X
ejpam-4586	492	31	+	+	NUM
ejpam-4586	492	32	e1	e1	NOUN
ejpam-4586	492	33	.	.	PUNCT
ejpam-4586	493	1	iv.4	iv.4	NUM
ejpam-4586	493	2	)	)	PUNCT
ejpam-4586	493	3	β0ρ	β0ρ	PUNCT
ejpam-4586	493	4	̸=	̸=	PROPN
ejpam-4586	493	5	0	0	NUM
ejpam-4586	493	6	,	,	PUNCT
ejpam-4586	493	7	γ	γ	X
ejpam-4586	493	8	=	=	SYM
ejpam-4586	493	9	0	0	NUM
ejpam-4586	493	10	,	,	PUNCT
ejpam-4586	493	11	then	then	ADV
ejpam-4586	493	12	we	we	PRON
ejpam-4586	493	13	can	can	AUX
ejpam-4586	493	14	set	set	VERB
ejpam-4586	493	15	β0	β0	PROPN
ejpam-4586	493	16	=	=	PUNCT
ejpam-4586	493	17	γ1	γ1	NOUN
ejpam-4586	493	18	=	=	SYM
ejpam-4586	493	19	1	1	NUM
ejpam-4586	493	20	and	and	CCONJ
ejpam-4586	493	21	e2	e2	PROPN
ejpam-4586	493	22	=	=	SYM
ejpam-4586	493	23	e	e	PROPN
ejpam-4586	493	24	,	,	PUNCT
ejpam-4586	493	25	ee0	ee0	X
ejpam-4586	493	26	=	=	PUNCT
ejpam-4586	493	27	1	1	NUM
ejpam-4586	493	28	2e0	2e0	NUM
ejpam-4586	493	29	,	,	PUNCT
ejpam-4586	493	30	ee1	ee1	NOUN
ejpam-4586	494	1	=	=	SYM
ejpam-4586	494	2	λe1	λe1	NOUN
ejpam-4586	494	3	,	,	PUNCT
ejpam-4586	494	4	ee2	ee2	NOUN
ejpam-4586	494	5	=	=	SYM
ejpam-4586	494	6	λe2	λe2	PROPN
ejpam-4586	494	7	,	,	PUNCT
ejpam-4586	494	8	e20	e20	NOUN
ejpam-4586	494	9	=	=	SYM
ejpam-4586	494	10	0	0	NUM
ejpam-4586	494	11	,	,	PUNCT
ejpam-4586	494	12	e21	e21	NUM
ejpam-4586	494	13	=	=	SYM
ejpam-4586	494	14	0	0	NUM
ejpam-4586	494	15	,	,	PUNCT
ejpam-4586	494	16	e22	e22	X
ejpam-4586	494	17	=	=	SYM
ejpam-4586	494	18	0	0	NUM
ejpam-4586	494	19	,	,	PUNCT
ejpam-4586	494	20	e1e2	e1e2	X
ejpam-4586	494	21	=	=	SYM
ejpam-4586	494	22	ρe0	ρe0	NOUN
ejpam-4586	494	23	,	,	PUNCT
ejpam-4586	494	24	e0e1	e0e1	NOUN
ejpam-4586	494	25	=	=	PROPN
ejpam-4586	494	26	e0	e0	PROPN
ejpam-4586	494	27	,	,	PUNCT
ejpam-4586	494	28	e0e2	e0e2	NOUN
ejpam-4586	494	29	=	=	SYM
ejpam-4586	494	30	γ0e0	γ0e0	X
ejpam-4586	494	31	+	+	NUM
ejpam-4586	494	32	e1	e1	NOUN
ejpam-4586	494	33	.	.	PUNCT
ejpam-4586	495	1	iv.5	iv.5	NOUN
ejpam-4586	495	2	)	)	PUNCT
ejpam-4586	495	3	β0	β0	NOUN
ejpam-4586	495	4	̸=	̸=	PROPN
ejpam-4586	495	5	0	0	NUM
ejpam-4586	495	6	,	,	PUNCT
ejpam-4586	495	7	ρ	ρ	NOUN
ejpam-4586	495	8	=	=	SYM
ejpam-4586	495	9	γ	γ	X
ejpam-4586	495	10	=	=	SYM
ejpam-4586	495	11	0	0	NUM
ejpam-4586	495	12	,	,	PUNCT
ejpam-4586	495	13	then	then	ADV
ejpam-4586	495	14	we	we	PRON
ejpam-4586	495	15	can	can	AUX
ejpam-4586	495	16	set	set	VERB
ejpam-4586	495	17	β0	β0	PROPN
ejpam-4586	495	18	=	=	PUNCT
ejpam-4586	495	19	γ1	γ1	NOUN
ejpam-4586	495	20	=	=	SYM
ejpam-4586	495	21	1	1	NUM
ejpam-4586	495	22	and	and	CCONJ
ejpam-4586	495	23	e2	e2	PROPN
ejpam-4586	495	24	=	=	SYM
ejpam-4586	495	25	e	e	PROPN
ejpam-4586	495	26	,	,	PUNCT
ejpam-4586	495	27	ee0	ee0	X
ejpam-4586	495	28	=	=	PUNCT
ejpam-4586	495	29	1	1	NUM
ejpam-4586	495	30	2e0	2e0	NUM
ejpam-4586	495	31	,	,	PUNCT
ejpam-4586	495	32	ee1	ee1	NOUN
ejpam-4586	496	1	=	=	SYM
ejpam-4586	496	2	λe1	λe1	NOUN
ejpam-4586	496	3	,	,	PUNCT
ejpam-4586	496	4	ee2	ee2	NOUN
ejpam-4586	496	5	=	=	SYM
ejpam-4586	496	6	λe2	λe2	PROPN
ejpam-4586	496	7	,	,	PUNCT
ejpam-4586	496	8	e20	e20	NOUN
ejpam-4586	496	9	=	=	SYM
ejpam-4586	496	10	0	0	NUM
ejpam-4586	496	11	,	,	PUNCT
ejpam-4586	496	12	e21	e21	NUM
ejpam-4586	496	13	=	=	SYM
ejpam-4586	496	14	0	0	NUM
ejpam-4586	496	15	,	,	PUNCT
ejpam-4586	496	16	e22	e22	X
ejpam-4586	496	17	=	=	SYM
ejpam-4586	496	18	0	0	NUM
ejpam-4586	496	19	,	,	PUNCT
ejpam-4586	496	20	e1e2	e1e2	X
ejpam-4586	496	21	=	=	SYM
ejpam-4586	496	22	0	0	NUM
ejpam-4586	496	23	,	,	PUNCT
ejpam-4586	496	24	e0e1	e0e1	NOUN
ejpam-4586	496	25	=	=	PROPN
ejpam-4586	496	26	e0	e0	PROPN
ejpam-4586	496	27	,	,	PUNCT
ejpam-4586	496	28	e0e2	e0e2	NOUN
ejpam-4586	496	29	=	=	SYM
ejpam-4586	496	30	γ0e0	γ0e0	X
ejpam-4586	496	31	+	+	NUM
ejpam-4586	496	32	e1	e1	NOUN
ejpam-4586	496	33	.	.	PUNCT
ejpam-4586	497	1	iv.6	iv.6	NOUN
ejpam-4586	497	2	)	)	PUNCT
ejpam-4586	497	3	β0γ	β0γ	VERB
ejpam-4586	498	1	̸=	̸=	PROPN
ejpam-4586	498	2	0	0	NUM
ejpam-4586	498	3	,	,	PUNCT
ejpam-4586	498	4	then	then	ADV
ejpam-4586	498	5	we	we	PRON
ejpam-4586	498	6	can	can	AUX
ejpam-4586	498	7	set	set	VERB
ejpam-4586	498	8	β0	β0	PROPN
ejpam-4586	498	9	=	=	SYM
ejpam-4586	498	10	γ	γ	X
ejpam-4586	498	11	=	=	SYM
ejpam-4586	498	12	1	1	NUM
ejpam-4586	498	13	and	and	CCONJ
ejpam-4586	498	14	e2	e2	PROPN
ejpam-4586	498	15	=	=	SYM
ejpam-4586	498	16	e	e	PROPN
ejpam-4586	498	17	,	,	PUNCT
ejpam-4586	498	18	ee0	ee0	X
ejpam-4586	498	19	=	=	PUNCT
ejpam-4586	498	20	1	1	NUM
ejpam-4586	498	21	2e0	2e0	NUM
ejpam-4586	498	22	,	,	PUNCT
ejpam-4586	498	23	ee1	ee1	NOUN
ejpam-4586	499	1	=	=	SYM
ejpam-4586	499	2	λe1	λe1	NOUN
ejpam-4586	499	3	,	,	PUNCT
ejpam-4586	499	4	ee2	ee2	NOUN
ejpam-4586	499	5	=	=	SYM
ejpam-4586	499	6	λe2	λe2	PROPN
ejpam-4586	499	7	,	,	PUNCT
ejpam-4586	499	8	e20	e20	NOUN
ejpam-4586	499	9	=	=	SYM
ejpam-4586	499	10	0	0	NUM
ejpam-4586	499	11	,	,	PUNCT
ejpam-4586	499	12	e21	e21	PROPN
ejpam-4586	499	13	=	=	SYM
ejpam-4586	499	14	e0	e0	PROPN
ejpam-4586	499	15	,	,	PUNCT
ejpam-4586	499	16	e22	e22	PROPN
ejpam-4586	499	17	=	=	SYM
ejpam-4586	499	18	0	0	NUM
ejpam-4586	499	19	,	,	PUNCT
ejpam-4586	499	20	e1e2	e1e2	X
ejpam-4586	499	21	=	=	SYM
ejpam-4586	499	22	ρe0	ρe0	NOUN
ejpam-4586	499	23	,	,	PUNCT
ejpam-4586	499	24	e0e1	e0e1	NOUN
ejpam-4586	499	25	=	=	PROPN
ejpam-4586	499	26	e0	e0	PROPN
ejpam-4586	499	27	,	,	PUNCT
ejpam-4586	499	28	e0e2	e0e2	NOUN
ejpam-4586	499	29	=	=	SYM
ejpam-4586	499	30	γ0e0	γ0e0	X
ejpam-4586	499	31	+	+	NUM
ejpam-4586	499	32	e1	e1	NOUN
ejpam-4586	499	33	.	.	NOUN
ejpam-4586	500	1	v	v	NOUN
ejpam-4586	500	2	)	)	PUNCT
ejpam-4586	500	3	α1	α1	PROPN
ejpam-4586	500	4	=	=	SYM
ejpam-4586	500	5	α0	α0	PROPN
ejpam-4586	500	6	=	=	SYM
ejpam-4586	500	7	γ1	γ1	NOUN
ejpam-4586	500	8	=	=	SYM
ejpam-4586	500	9	γ0	γ0	NOUN
ejpam-4586	500	10	=	=	PUNCT
ejpam-4586	500	11	γ	γ	X
ejpam-4586	500	12	=	=	SYM
ejpam-4586	500	13	0	0	NUM
ejpam-4586	500	14	and	and	CCONJ
ejpam-4586	500	15	β1	β1	PROPN
ejpam-4586	500	16	̸=	̸=	PROPN
ejpam-4586	500	17	0	0	NUM
ejpam-4586	500	18	.	.	PUNCT
ejpam-4586	501	1	the	the	DET
ejpam-4586	501	2	table	table	NOUN
ejpam-4586	501	3	of	of	ADP
ejpam-4586	501	4	a	a	PRON
ejpam-4586	501	5	is	be	AUX
ejpam-4586	501	6	:	:	PUNCT
ejpam-4586	501	7	e2	e2	PROPN
ejpam-4586	501	8	=	=	SYM
ejpam-4586	501	9	e	e	PROPN
ejpam-4586	501	10	,	,	PUNCT
ejpam-4586	501	11	ee0	ee0	X
ejpam-4586	501	12	=	=	PUNCT
ejpam-4586	501	13	1	1	NUM
ejpam-4586	501	14	2e0	2e0	NUM
ejpam-4586	501	15	,	,	PUNCT
ejpam-4586	501	16	ee1	ee1	NOUN
ejpam-4586	502	1	=	=	SYM
ejpam-4586	502	2	λe1	λe1	NOUN
ejpam-4586	502	3	,	,	PUNCT
ejpam-4586	502	4	ee2	ee2	NOUN
ejpam-4586	502	5	=	=	SYM
ejpam-4586	502	6	λe2	λe2	PROPN
ejpam-4586	502	7	,	,	PUNCT
ejpam-4586	502	8	e20	e20	NOUN
ejpam-4586	502	9	=	=	SYM
ejpam-4586	502	10	0	0	NUM
ejpam-4586	502	11	,	,	PUNCT
ejpam-4586	502	12	e21	e21	NUM
ejpam-4586	502	13	=	=	SYM
ejpam-4586	502	14	0	0	NUM
ejpam-4586	502	15	,	,	PUNCT
ejpam-4586	502	16	e22	e22	X
ejpam-4586	502	17	=	=	SYM
ejpam-4586	502	18	µe0	µe0	X
ejpam-4586	502	19	,	,	PUNCT
ejpam-4586	502	20	e1e2	e1e2	X
ejpam-4586	502	21	=	=	SYM
ejpam-4586	502	22	ρe0	ρe0	NOUN
ejpam-4586	502	23	,	,	PUNCT
ejpam-4586	502	24	e0e1	e0e1	NOUN
ejpam-4586	502	25	=	=	NOUN
ejpam-4586	502	26	β0e0	β0e0	PUNCT
ejpam-4586	502	27	+	+	CCONJ
ejpam-4586	502	28	β1e2	β1e2	NOUN
ejpam-4586	502	29	,	,	PUNCT
ejpam-4586	502	30	e0e2	e0e2	NOUN
ejpam-4586	502	31	=	=	SYM
ejpam-4586	502	32	0	0	NUM
ejpam-4586	502	33	.	.	NUM
ejpam-4586	502	34	v.1	v.1	NUM
ejpam-4586	502	35	)	)	PUNCT
ejpam-4586	502	36	µ	µ	X
ejpam-4586	502	37	=	=	SYM
ejpam-4586	502	38	0	0	PROPN
ejpam-4586	502	39	,	,	PUNCT
ejpam-4586	502	40	a	a	DET
ejpam-4586	502	41	verifies	verifie	NOUN
ejpam-4586	502	42	the	the	DET
ejpam-4586	502	43	polynomial	polynomial	ADJ
ejpam-4586	502	44	identity	identity	NOUN
ejpam-4586	502	45	:	:	PUNCT
ejpam-4586	502	46	(	(	PUNCT
ejpam-4586	502	47	x2−	x2−	PROPN
ejpam-4586	502	48	2λω(x)x)3−	2λω(x)x)3−	NUM
ejpam-4586	502	49	(	(	PUNCT
ejpam-4586	502	50	λ̄−	λ̄−	NOUN
ejpam-4586	502	51	2λ)ω(x)2(x2−	2λ)ω(x)2(x2−	NUM
ejpam-4586	502	52	2λω(x)x)2	2λω(x)x)2	NOUN
ejpam-4586	502	53	+	+	CCONJ
ejpam-4586	502	54	(	(	PUNCT
ejpam-4586	502	55	λ̄+	λ̄+	NUM
ejpam-4586	502	56	2λ−	2λ−	NUM
ejpam-4586	502	57	2)ω(x)4(x2	2)ω(x)4(x2	NOUN
ejpam-4586	502	58	−	−	PROPN
ejpam-4586	502	59	2λω(x	2λω(x	NUM
ejpam-4586	502	60	)	)	PUNCT
ejpam-4586	502	61	)	)	PUNCT
ejpam-4586	503	1	=	=	PUNCT
ejpam-4586	503	2	0	0	X
ejpam-4586	503	3	.	.	NOUN
ejpam-4586	503	4	v.2	v.2	NOUN
ejpam-4586	503	5	)	)	PUNCT
ejpam-4586	503	6	ρ	ρ	PROPN
ejpam-4586	503	7	=	=	SYM
ejpam-4586	503	8	β0	β0	PROPN
ejpam-4586	503	9	=	=	SYM
ejpam-4586	503	10	0	0	NUM
ejpam-4586	503	11	,	,	PUNCT
ejpam-4586	503	12	µ	µ	DET
ejpam-4586	503	13	̸=	̸=	PROPN
ejpam-4586	503	14	0	0	NUM
ejpam-4586	503	15	,	,	PUNCT
ejpam-4586	503	16	then	then	ADV
ejpam-4586	503	17	we	we	PRON
ejpam-4586	503	18	can	can	AUX
ejpam-4586	503	19	set	set	VERB
ejpam-4586	503	20	µ	µ	X
ejpam-4586	503	21	=	=	SYM
ejpam-4586	503	22	β1	β1	NOUN
ejpam-4586	503	23	=	=	SYM
ejpam-4586	503	24	1	1	NUM
ejpam-4586	503	25	and	and	CCONJ
ejpam-4586	503	26	e2	e2	PROPN
ejpam-4586	503	27	=	=	SYM
ejpam-4586	503	28	e	e	PROPN
ejpam-4586	503	29	,	,	PUNCT
ejpam-4586	503	30	ee0	ee0	X
ejpam-4586	503	31	=	=	PUNCT
ejpam-4586	503	32	1	1	NUM
ejpam-4586	503	33	2e0	2e0	NUM
ejpam-4586	503	34	,	,	PUNCT
ejpam-4586	503	35	ee1	ee1	NOUN
ejpam-4586	504	1	=	=	SYM
ejpam-4586	504	2	λe1	λe1	NOUN
ejpam-4586	504	3	,	,	PUNCT
ejpam-4586	504	4	ee2	ee2	NOUN
ejpam-4586	504	5	=	=	SYM
ejpam-4586	504	6	λe2	λe2	PROPN
ejpam-4586	504	7	,	,	PUNCT
ejpam-4586	504	8	e20	e20	NOUN
ejpam-4586	504	9	=	=	SYM
ejpam-4586	504	10	0	0	NUM
ejpam-4586	504	11	,	,	PUNCT
ejpam-4586	504	12	e21	e21	NUM
ejpam-4586	504	13	=	=	SYM
ejpam-4586	504	14	0	0	NUM
ejpam-4586	504	15	,	,	PUNCT
ejpam-4586	504	16	e22	e22	X
ejpam-4586	504	17	=	=	SYM
ejpam-4586	504	18	e0	e0	PROPN
ejpam-4586	504	19	,	,	PUNCT
ejpam-4586	504	20	e1e2	e1e2	X
ejpam-4586	504	21	=	=	SYM
ejpam-4586	504	22	0	0	NUM
ejpam-4586	504	23	,	,	PUNCT
ejpam-4586	504	24	e0e1	e0e1	NOUN
ejpam-4586	504	25	=	=	PROPN
ejpam-4586	504	26	e2	e2	PROPN
ejpam-4586	504	27	,	,	PUNCT
ejpam-4586	504	28	e0e2	e0e2	NOUN
ejpam-4586	504	29	=	=	SYM
ejpam-4586	504	30	0	0	NUM
ejpam-4586	504	31	.	.	NUM
ejpam-4586	504	32	v.3	v.3	X
ejpam-4586	504	33	)	)	PUNCT
ejpam-4586	504	34	ρ	ρ	NOUN
ejpam-4586	504	35	=	=	SYM
ejpam-4586	504	36	0	0	NUM
ejpam-4586	504	37	,	,	PUNCT
ejpam-4586	504	38	β0µ	β0µ	X
ejpam-4586	504	39	̸=	̸=	PROPN
ejpam-4586	504	40	0	0	NUM
ejpam-4586	504	41	,	,	PUNCT
ejpam-4586	504	42	then	then	ADV
ejpam-4586	504	43	we	we	PRON
ejpam-4586	504	44	can	can	AUX
ejpam-4586	504	45	set	set	VERB
ejpam-4586	504	46	µ	µ	X
ejpam-4586	504	47	=	=	SYM
ejpam-4586	504	48	β1	β1	NOUN
ejpam-4586	504	49	=	=	SYM
ejpam-4586	504	50	1	1	NUM
ejpam-4586	504	51	and	and	CCONJ
ejpam-4586	504	52	e2	e2	PROPN
ejpam-4586	504	53	=	=	SYM
ejpam-4586	504	54	e	e	PROPN
ejpam-4586	504	55	,	,	PUNCT
ejpam-4586	504	56	ee0	ee0	X
ejpam-4586	504	57	=	=	PUNCT
ejpam-4586	504	58	1	1	NUM
ejpam-4586	504	59	2e0	2e0	NUM
ejpam-4586	504	60	,	,	PUNCT
ejpam-4586	504	61	ee1	ee1	NOUN
ejpam-4586	505	1	=	=	SYM
ejpam-4586	505	2	λe1	λe1	NOUN
ejpam-4586	505	3	,	,	PUNCT
ejpam-4586	505	4	ee2	ee2	NOUN
ejpam-4586	505	5	=	=	SYM
ejpam-4586	505	6	λe2	λe2	PROPN
ejpam-4586	505	7	,	,	PUNCT
ejpam-4586	505	8	e20	e20	NOUN
ejpam-4586	505	9	=	=	SYM
ejpam-4586	505	10	0	0	NUM
ejpam-4586	505	11	,	,	PUNCT
ejpam-4586	505	12	e21	e21	NUM
ejpam-4586	505	13	=	=	SYM
ejpam-4586	505	14	0	0	NUM
ejpam-4586	505	15	,	,	PUNCT
ejpam-4586	505	16	e22	e22	X
ejpam-4586	505	17	=	=	SYM
ejpam-4586	505	18	e0	e0	PROPN
ejpam-4586	505	19	,	,	PUNCT
ejpam-4586	505	20	e1e2	e1e2	X
ejpam-4586	505	21	=	=	SYM
ejpam-4586	505	22	0	0	NUM
ejpam-4586	505	23	,	,	PUNCT
ejpam-4586	505	24	e0e1	e0e1	NOUN
ejpam-4586	505	25	=	=	SYM
ejpam-4586	505	26	β0e0	β0e0	PUNCT
ejpam-4586	505	27	+	+	NUM
ejpam-4586	505	28	e2	e2	PROPN
ejpam-4586	505	29	,	,	PUNCT
ejpam-4586	505	30	e0e2	e0e2	NOUN
ejpam-4586	505	31	=	=	SYM
ejpam-4586	505	32	0	0	NUM
ejpam-4586	505	33	.	.	PUNCT
ejpam-4586	506	1	v.4	v.4	X
ejpam-4586	506	2	)	)	PUNCT
ejpam-4586	506	3	β0	β0	NOUN
ejpam-4586	506	4	=	=	SYM
ejpam-4586	506	5	0	0	NUM
ejpam-4586	506	6	,	,	PUNCT
ejpam-4586	506	7	ρµ	ρµ	PROPN
ejpam-4586	506	8	̸=	̸=	PROPN
ejpam-4586	506	9	0	0	NUM
ejpam-4586	506	10	,	,	PUNCT
ejpam-4586	506	11	then	then	ADV
ejpam-4586	506	12	we	we	PRON
ejpam-4586	506	13	can	can	AUX
ejpam-4586	506	14	set	set	VERB
ejpam-4586	506	15	µ	µ	X
ejpam-4586	506	16	=	=	SYM
ejpam-4586	506	17	β1	β1	NOUN
ejpam-4586	506	18	=	=	SYM
ejpam-4586	506	19	1	1	NUM
ejpam-4586	506	20	and	and	CCONJ
ejpam-4586	506	21	e2	e2	PROPN
ejpam-4586	506	22	=	=	SYM
ejpam-4586	506	23	e	e	PROPN
ejpam-4586	506	24	,	,	PUNCT
ejpam-4586	506	25	ee0	ee0	X
ejpam-4586	506	26	=	=	PUNCT
ejpam-4586	506	27	1	1	NUM
ejpam-4586	506	28	2e0	2e0	NUM
ejpam-4586	506	29	,	,	PUNCT
ejpam-4586	506	30	ee1	ee1	NOUN
ejpam-4586	507	1	=	=	SYM
ejpam-4586	507	2	λe1	λe1	NOUN
ejpam-4586	507	3	,	,	PUNCT
ejpam-4586	507	4	ee2	ee2	NOUN
ejpam-4586	507	5	=	=	SYM
ejpam-4586	507	6	λe2	λe2	PROPN
ejpam-4586	507	7	,	,	PUNCT
ejpam-4586	507	8	e20	e20	NOUN
ejpam-4586	507	9	=	=	SYM
ejpam-4586	507	10	0	0	NUM
ejpam-4586	507	11	,	,	PUNCT
ejpam-4586	507	12	e21	e21	NUM
ejpam-4586	507	13	=	=	SYM
ejpam-4586	507	14	0	0	NUM
ejpam-4586	507	15	,	,	PUNCT
ejpam-4586	507	16	e22	e22	X
ejpam-4586	507	17	=	=	SYM
ejpam-4586	507	18	e0	e0	PROPN
ejpam-4586	507	19	,	,	PUNCT
ejpam-4586	507	20	e1e2	e1e2	X
ejpam-4586	507	21	=	=	SYM
ejpam-4586	507	22	ρe0	ρe0	NOUN
ejpam-4586	507	23	,	,	PUNCT
ejpam-4586	507	24	e0e1	e0e1	PROPN
ejpam-4586	507	25	=	=	PROPN
ejpam-4586	507	26	e2	e2	PROPN
ejpam-4586	507	27	,	,	PUNCT
ejpam-4586	507	28	e0e2	e0e2	NOUN
ejpam-4586	507	29	=	=	SYM
ejpam-4586	507	30	0	0	NUM
ejpam-4586	507	31	.	.	PUNCT
ejpam-4586	507	32	v.5	v.5	NOUN
ejpam-4586	507	33	)	)	PUNCT
ejpam-4586	507	34	β0ρµ	β0ρµ	PUNCT
ejpam-4586	508	1	̸=	̸=	PROPN
ejpam-4586	508	2	0	0	NUM
ejpam-4586	508	3	,	,	PUNCT
ejpam-4586	508	4	then	then	ADV
ejpam-4586	508	5	we	we	PRON
ejpam-4586	508	6	can	can	AUX
ejpam-4586	508	7	set	set	VERB
ejpam-4586	508	8	µ	µ	X
ejpam-4586	508	9	=	=	SYM
ejpam-4586	508	10	β1	β1	NOUN
ejpam-4586	508	11	=	=	SYM
ejpam-4586	508	12	1	1	NUM
ejpam-4586	508	13	and	and	CCONJ
ejpam-4586	508	14	e2	e2	PROPN
ejpam-4586	508	15	=	=	SYM
ejpam-4586	508	16	e	e	PROPN
ejpam-4586	508	17	,	,	PUNCT
ejpam-4586	508	18	ee0	ee0	X
ejpam-4586	508	19	=	=	PUNCT
ejpam-4586	508	20	1	1	NUM
ejpam-4586	508	21	2e0	2e0	NUM
ejpam-4586	508	22	,	,	PUNCT
ejpam-4586	508	23	ee1	ee1	NOUN
ejpam-4586	509	1	=	=	SYM
ejpam-4586	509	2	λe1	λe1	NOUN
ejpam-4586	509	3	,	,	PUNCT
ejpam-4586	509	4	ee2	ee2	NOUN
ejpam-4586	509	5	=	=	SYM
ejpam-4586	509	6	λe2	λe2	PROPN
ejpam-4586	509	7	,	,	PUNCT
ejpam-4586	509	8	e20	e20	NOUN
ejpam-4586	509	9	=	=	SYM
ejpam-4586	509	10	0	0	NUM
ejpam-4586	509	11	,	,	PUNCT
ejpam-4586	509	12	e21	e21	NUM
ejpam-4586	509	13	=	=	SYM
ejpam-4586	509	14	0	0	NUM
ejpam-4586	509	15	,	,	PUNCT
ejpam-4586	509	16	e22	e22	X
ejpam-4586	509	17	=	=	SYM
ejpam-4586	509	18	e0	e0	PROPN
ejpam-4586	509	19	,	,	PUNCT
ejpam-4586	509	20	e1e2	e1e2	X
ejpam-4586	509	21	=	=	SYM
ejpam-4586	509	22	ρe0	ρe0	NOUN
ejpam-4586	509	23	,	,	PUNCT
ejpam-4586	509	24	e0e1	e0e1	NOUN
ejpam-4586	509	25	=	=	SYM
ejpam-4586	509	26	β0e0	β0e0	PUNCT
ejpam-4586	509	27	+	+	NUM
ejpam-4586	509	28	e2	e2	PROPN
ejpam-4586	509	29	,	,	PUNCT
ejpam-4586	509	30	e0e2	e0e2	NOUN
ejpam-4586	509	31	=	=	SYM
ejpam-4586	509	32	0	0	NUM
ejpam-4586	509	33	.	.	NOUN
ejpam-4586	509	34	vi	vi	NOUN
ejpam-4586	509	35	)	)	PUNCT
ejpam-4586	509	36	α1	α1	NOUN
ejpam-4586	509	37	=	=	SYM
ejpam-4586	509	38	α0	α0	PROPN
ejpam-4586	509	39	=	=	SYM
ejpam-4586	509	40	γ1	γ1	NOUN
ejpam-4586	509	41	=	=	SYM
ejpam-4586	509	42	γ	γ	X
ejpam-4586	509	43	=	=	SYM
ejpam-4586	509	44	0	0	PROPN
ejpam-4586	509	45	and	and	CCONJ
ejpam-4586	509	46	γ0β1	γ0β1	ADP
ejpam-4586	509	47	̸=	̸=	PROPN
ejpam-4586	509	48	0	0	NUM
ejpam-4586	509	49	.	.	PUNCT
ejpam-4586	510	1	the	the	DET
ejpam-4586	510	2	table	table	NOUN
ejpam-4586	510	3	of	of	ADP
ejpam-4586	510	4	a	a	PRON
ejpam-4586	510	5	is	be	AUX
ejpam-4586	510	6	:	:	PUNCT
ejpam-4586	510	7	e2	e2	PROPN
ejpam-4586	510	8	=	=	SYM
ejpam-4586	510	9	e	e	PROPN
ejpam-4586	510	10	,	,	PUNCT
ejpam-4586	510	11	ee0	ee0	X
ejpam-4586	510	12	=	=	PUNCT
ejpam-4586	510	13	1	1	NUM
ejpam-4586	510	14	2e0	2e0	NUM
ejpam-4586	510	15	,	,	PUNCT
ejpam-4586	510	16	ee1	ee1	NOUN
ejpam-4586	511	1	=	=	SYM
ejpam-4586	511	2	λe1	λe1	NOUN
ejpam-4586	511	3	,	,	PUNCT
ejpam-4586	511	4	ee2	ee2	NOUN
ejpam-4586	511	5	=	=	SYM
ejpam-4586	511	6	λe2	λe2	PROPN
ejpam-4586	511	7	,	,	PUNCT
ejpam-4586	511	8	e20	e20	NOUN
ejpam-4586	511	9	=	=	SYM
ejpam-4586	511	10	0	0	NUM
ejpam-4586	511	11	,	,	PUNCT
ejpam-4586	511	12	e21	e21	NUM
ejpam-4586	511	13	=	=	SYM
ejpam-4586	511	14	0	0	NUM
ejpam-4586	511	15	,	,	PUNCT
ejpam-4586	511	16	e22	e22	X
ejpam-4586	511	17	=	=	SYM
ejpam-4586	511	18	µe0	µe0	X
ejpam-4586	511	19	,	,	PUNCT
ejpam-4586	511	20	e1e2	e1e2	X
ejpam-4586	511	21	=	=	SYM
ejpam-4586	511	22	ρe0	ρe0	NOUN
ejpam-4586	511	23	,	,	PUNCT
ejpam-4586	511	24	e0e1	e0e1	NOUN
ejpam-4586	511	25	=	=	NOUN
ejpam-4586	511	26	β0e0	β0e0	PUNCT
ejpam-4586	511	27	+	+	CCONJ
ejpam-4586	511	28	β1e2	β1e2	NOUN
ejpam-4586	511	29	,	,	PUNCT
ejpam-4586	511	30	e0e2	e0e2	NOUN
ejpam-4586	511	31	=	=	SYM
ejpam-4586	511	32	γ0e0	γ0e0	X
ejpam-4586	511	33	.	.	PUNCT
ejpam-4586	511	34	w.	w.	PROPN
ejpam-4586	511	35	a.	a.	PROPN
ejpam-4586	511	36	zangre	zangre	PROPN
ejpam-4586	511	37	,	,	PUNCT
ejpam-4586	511	38	a.	a.	NOUN
ejpam-4586	511	39	conseibo	conseibo	PROPN
ejpam-4586	511	40	/	/	SYM
ejpam-4586	511	41	eur	eur	PROPN
ejpam-4586	511	42	.	.	PUNCT
ejpam-4586	512	1	j.	j.	PROPN
ejpam-4586	512	2	pure	pure	PROPN
ejpam-4586	512	3	appl	appl	PROPN
ejpam-4586	512	4	.	.	PROPN
ejpam-4586	512	5	math	math	PROPN
ejpam-4586	512	6	,	,	PUNCT
ejpam-4586	512	7	15	15	NUM
ejpam-4586	512	8	(	(	PUNCT
ejpam-4586	512	9	4	4	NUM
ejpam-4586	512	10	)	)	PUNCT
ejpam-4586	512	11	(	(	PUNCT
ejpam-4586	512	12	2022	2022	NUM
ejpam-4586	512	13	)	)	PUNCT
ejpam-4586	512	14	,	,	PUNCT
ejpam-4586	512	15	1887	1887	NUM
ejpam-4586	512	16	-	-	SYM
ejpam-4586	512	17	1907	1907	NUM
ejpam-4586	512	18	1903	1903	NUM
ejpam-4586	512	19	vi.1	vi.1	NOUN
ejpam-4586	512	20	)	)	PUNCT
ejpam-4586	513	1	β0	β0	PROPN
ejpam-4586	513	2	̸=	̸=	PROPN
ejpam-4586	513	3	0	0	NUM
ejpam-4586	513	4	,	,	PUNCT
ejpam-4586	513	5	ρ	ρ	PROPN
ejpam-4586	513	6	=	=	SYM
ejpam-4586	513	7	µ	µ	X
ejpam-4586	513	8	=	=	SYM
ejpam-4586	513	9	0	0	X
ejpam-4586	513	10	.	.	PUNCT
ejpam-4586	514	1	we	we	PRON
ejpam-4586	514	2	can	can	AUX
ejpam-4586	514	3	set	set	VERB
ejpam-4586	514	4	γ0	γ0	NOUN
ejpam-4586	514	5	=	=	SYM
ejpam-4586	514	6	β1	β1	PROPN
ejpam-4586	514	7	=	=	PUNCT
ejpam-4586	514	8	1	1	NUM
ejpam-4586	514	9	and	and	CCONJ
ejpam-4586	514	10	he	he	PRON
ejpam-4586	514	11	table	table	NOUN
ejpam-4586	514	12	of	of	ADP
ejpam-4586	514	13	a	a	PRON
ejpam-4586	514	14	is	be	AUX
ejpam-4586	514	15	:	:	PUNCT
ejpam-4586	515	1	e2	e2	PROPN
ejpam-4586	515	2	=	=	SYM
ejpam-4586	515	3	e	e	PROPN
ejpam-4586	515	4	,	,	PUNCT
ejpam-4586	515	5	ee0	ee0	X
ejpam-4586	515	6	=	=	PUNCT
ejpam-4586	515	7	1	1	NUM
ejpam-4586	515	8	2e0	2e0	NUM
ejpam-4586	515	9	,	,	PUNCT
ejpam-4586	515	10	ee1	ee1	NOUN
ejpam-4586	515	11	=	=	SYM
ejpam-4586	515	12	λe1	λe1	NOUN
ejpam-4586	515	13	,	,	PUNCT
ejpam-4586	515	14	ee2	ee2	NOUN
ejpam-4586	515	15	=	=	SYM
ejpam-4586	515	16	λe2	λe2	PROPN
ejpam-4586	515	17	,	,	PUNCT
ejpam-4586	515	18	e20	e20	NOUN
ejpam-4586	515	19	=	=	SYM
ejpam-4586	515	20	0	0	NUM
ejpam-4586	515	21	,	,	PUNCT
ejpam-4586	515	22	e21	e21	NUM
ejpam-4586	515	23	=	=	SYM
ejpam-4586	515	24	0	0	NUM
ejpam-4586	515	25	,	,	PUNCT
ejpam-4586	515	26	e22	e22	X
ejpam-4586	515	27	=	=	SYM
ejpam-4586	515	28	0	0	NUM
ejpam-4586	515	29	,	,	PUNCT
ejpam-4586	515	30	e1e2	e1e2	X
ejpam-4586	515	31	=	=	SYM
ejpam-4586	515	32	0	0	NUM
ejpam-4586	515	33	,	,	PUNCT
ejpam-4586	515	34	e0e1	e0e1	NOUN
ejpam-4586	515	35	=	=	SYM
ejpam-4586	515	36	β0e0	β0e0	PUNCT
ejpam-4586	515	37	+	+	NUM
ejpam-4586	515	38	e2	e2	PROPN
ejpam-4586	515	39	,	,	PUNCT
ejpam-4586	515	40	e0e2	e0e2	NOUN
ejpam-4586	515	41	=	=	SYM
ejpam-4586	515	42	e0	e0	PROPN
ejpam-4586	515	43	.	.	PUNCT
ejpam-4586	516	1	vi.2	vi.2	PROPN
ejpam-4586	516	2	)	)	PUNCT
ejpam-4586	516	3	β0	β0	NOUN
ejpam-4586	516	4	̸=	̸=	PROPN
ejpam-4586	516	5	0	0	NUM
ejpam-4586	516	6	,	,	PUNCT
ejpam-4586	516	7	ρ	ρ	PROPN
ejpam-4586	516	8	=	=	SYM
ejpam-4586	516	9	0	0	NUM
ejpam-4586	516	10	,	,	PUNCT
ejpam-4586	516	11	µ	µ	DET
ejpam-4586	516	12	̸=	̸=	PROPN
ejpam-4586	516	13	0	0	NUM
ejpam-4586	516	14	.	.	PUNCT
ejpam-4586	517	1	we	we	PRON
ejpam-4586	517	2	can	can	AUX
ejpam-4586	517	3	set	set	VERB
ejpam-4586	517	4	µ	µ	NOUN
ejpam-4586	517	5	=	=	SYM
ejpam-4586	517	6	γ0	γ0	NOUN
ejpam-4586	517	7	=	=	SYM
ejpam-4586	517	8	β1	β1	PROPN
ejpam-4586	517	9	=	=	SYM
ejpam-4586	517	10	1	1	X
ejpam-4586	517	11	.	.	PUNCT
ejpam-4586	518	1	the	the	DET
ejpam-4586	518	2	table	table	NOUN
ejpam-4586	518	3	of	of	ADP
ejpam-4586	518	4	a	a	PRON
ejpam-4586	518	5	is	be	AUX
ejpam-4586	518	6	:	:	PUNCT
ejpam-4586	518	7	e2	e2	PROPN
ejpam-4586	518	8	=	=	SYM
ejpam-4586	518	9	e	e	PROPN
ejpam-4586	518	10	,	,	PUNCT
ejpam-4586	518	11	ee0	ee0	X
ejpam-4586	518	12	=	=	PUNCT
ejpam-4586	518	13	1	1	NUM
ejpam-4586	518	14	2e0	2e0	NUM
ejpam-4586	518	15	,	,	PUNCT
ejpam-4586	518	16	ee1	ee1	NOUN
ejpam-4586	519	1	=	=	SYM
ejpam-4586	519	2	λe1	λe1	NOUN
ejpam-4586	519	3	,	,	PUNCT
ejpam-4586	519	4	ee2	ee2	NOUN
ejpam-4586	519	5	=	=	SYM
ejpam-4586	519	6	λe2	λe2	PROPN
ejpam-4586	519	7	,	,	PUNCT
ejpam-4586	519	8	e20	e20	NOUN
ejpam-4586	519	9	=	=	SYM
ejpam-4586	519	10	0	0	NUM
ejpam-4586	519	11	,	,	PUNCT
ejpam-4586	519	12	e21	e21	NUM
ejpam-4586	519	13	=	=	SYM
ejpam-4586	519	14	0	0	NUM
ejpam-4586	519	15	,	,	PUNCT
ejpam-4586	519	16	e22	e22	X
ejpam-4586	519	17	=	=	SYM
ejpam-4586	519	18	e0	e0	PROPN
ejpam-4586	519	19	,	,	PUNCT
ejpam-4586	519	20	e1e2	e1e2	X
ejpam-4586	519	21	=	=	SYM
ejpam-4586	519	22	0	0	NUM
ejpam-4586	519	23	,	,	PUNCT
ejpam-4586	519	24	e0e1	e0e1	NOUN
ejpam-4586	519	25	=	=	SYM
ejpam-4586	519	26	β0e0	β0e0	PUNCT
ejpam-4586	519	27	+	+	NUM
ejpam-4586	519	28	e2	e2	PROPN
ejpam-4586	519	29	,	,	PUNCT
ejpam-4586	519	30	e0e2	e0e2	NOUN
ejpam-4586	519	31	=	=	SYM
ejpam-4586	519	32	e0	e0	PROPN
ejpam-4586	519	33	.	.	PUNCT
ejpam-4586	520	1	vi.3	vi.3	NOUN
ejpam-4586	520	2	)	)	PUNCT
ejpam-4586	520	3	ρβ0	ρβ0	NOUN
ejpam-4586	520	4	̸=	̸=	PROPN
ejpam-4586	520	5	0	0	NUM
ejpam-4586	520	6	,	,	PUNCT
ejpam-4586	520	7	µ	µ	X
ejpam-4586	520	8	=	=	SYM
ejpam-4586	520	9	0	0	X
ejpam-4586	520	10	.	.	PUNCT
ejpam-4586	521	1	we	we	PRON
ejpam-4586	521	2	can	can	AUX
ejpam-4586	521	3	set	set	VERB
ejpam-4586	521	4	β1	β1	PROPN
ejpam-4586	521	5	=	=	SYM
ejpam-4586	521	6	ρ	ρ	PROPN
ejpam-4586	521	7	=	=	SYM
ejpam-4586	521	8	γ0	γ0	NOUN
ejpam-4586	521	9	=	=	SYM
ejpam-4586	521	10	1	1	X
ejpam-4586	521	11	.	.	PUNCT
ejpam-4586	522	1	the	the	DET
ejpam-4586	522	2	table	table	NOUN
ejpam-4586	522	3	of	of	ADP
ejpam-4586	522	4	a	a	PRON
ejpam-4586	522	5	is	be	AUX
ejpam-4586	522	6	:	:	PUNCT
ejpam-4586	522	7	e2	e2	PROPN
ejpam-4586	522	8	=	=	SYM
ejpam-4586	522	9	e	e	PROPN
ejpam-4586	522	10	,	,	PUNCT
ejpam-4586	522	11	ee0	ee0	X
ejpam-4586	522	12	=	=	PUNCT
ejpam-4586	522	13	1	1	NUM
ejpam-4586	522	14	2e0	2e0	NUM
ejpam-4586	522	15	,	,	PUNCT
ejpam-4586	522	16	ee1	ee1	NOUN
ejpam-4586	523	1	=	=	SYM
ejpam-4586	523	2	λe1	λe1	NOUN
ejpam-4586	523	3	,	,	PUNCT
ejpam-4586	523	4	ee2	ee2	NOUN
ejpam-4586	523	5	=	=	SYM
ejpam-4586	523	6	λe2	λe2	PROPN
ejpam-4586	523	7	,	,	PUNCT
ejpam-4586	523	8	e20	e20	NOUN
ejpam-4586	523	9	=	=	SYM
ejpam-4586	523	10	0	0	NUM
ejpam-4586	523	11	,	,	PUNCT
ejpam-4586	523	12	e21	e21	NUM
ejpam-4586	523	13	=	=	SYM
ejpam-4586	523	14	0	0	NUM
ejpam-4586	523	15	,	,	PUNCT
ejpam-4586	523	16	e22	e22	X
ejpam-4586	523	17	=	=	SYM
ejpam-4586	523	18	0	0	NUM
ejpam-4586	523	19	,	,	PUNCT
ejpam-4586	523	20	e1e2	e1e2	X
ejpam-4586	523	21	=	=	SYM
ejpam-4586	523	22	e0	e0	PROPN
ejpam-4586	523	23	,	,	PUNCT
ejpam-4586	523	24	e0e1	e0e1	NOUN
ejpam-4586	523	25	=	=	SYM
ejpam-4586	523	26	β0e0	β0e0	PUNCT
ejpam-4586	523	27	+	+	NUM
ejpam-4586	523	28	e2	e2	PROPN
ejpam-4586	523	29	,	,	PUNCT
ejpam-4586	523	30	e0e2	e0e2	NOUN
ejpam-4586	523	31	=	=	SYM
ejpam-4586	523	32	e0	e0	PROPN
ejpam-4586	523	33	.	.	PUNCT
ejpam-4586	524	1	vi.4	vi.4	NOUN
ejpam-4586	524	2	)	)	PUNCT
ejpam-4586	524	3	β0ρµ	β0ρµ	PUNCT
ejpam-4586	525	1	̸=	̸=	NOUN
ejpam-4586	525	2	0	0	NUM
ejpam-4586	525	3	.	.	PUNCT
ejpam-4586	526	1	we	we	PRON
ejpam-4586	526	2	can	can	AUX
ejpam-4586	526	3	set	set	VERB
ejpam-4586	526	4	γ0	γ0	NOUN
ejpam-4586	526	5	=	=	SYM
ejpam-4586	526	6	ρ	ρ	PROPN
ejpam-4586	526	7	=	=	SYM
ejpam-4586	526	8	µ	µ	X
ejpam-4586	526	9	=	=	SYM
ejpam-4586	526	10	1	1	NUM
ejpam-4586	526	11	and	and	CCONJ
ejpam-4586	526	12	he	he	PRON
ejpam-4586	526	13	table	table	NOUN
ejpam-4586	526	14	of	of	ADP
ejpam-4586	526	15	a	a	PRON
ejpam-4586	526	16	is	be	AUX
ejpam-4586	526	17	:	:	PUNCT
ejpam-4586	527	1	e2	e2	PROPN
ejpam-4586	527	2	=	=	SYM
ejpam-4586	527	3	e	e	PROPN
ejpam-4586	527	4	,	,	PUNCT
ejpam-4586	527	5	ee0	ee0	X
ejpam-4586	527	6	=	=	PUNCT
ejpam-4586	527	7	1	1	NUM
ejpam-4586	527	8	2e0	2e0	NUM
ejpam-4586	527	9	,	,	PUNCT
ejpam-4586	527	10	ee1	ee1	NOUN
ejpam-4586	527	11	=	=	SYM
ejpam-4586	527	12	λe1	λe1	NOUN
ejpam-4586	527	13	,	,	PUNCT
ejpam-4586	527	14	ee2	ee2	NOUN
ejpam-4586	527	15	=	=	SYM
ejpam-4586	527	16	λe2	λe2	PROPN
ejpam-4586	527	17	,	,	PUNCT
ejpam-4586	527	18	e20	e20	NOUN
ejpam-4586	527	19	=	=	SYM
ejpam-4586	527	20	0	0	NUM
ejpam-4586	527	21	,	,	PUNCT
ejpam-4586	527	22	e21	e21	NUM
ejpam-4586	527	23	=	=	SYM
ejpam-4586	527	24	0	0	NUM
ejpam-4586	527	25	,	,	PUNCT
ejpam-4586	527	26	e22	e22	X
ejpam-4586	527	27	=	=	SYM
ejpam-4586	527	28	e0	e0	PROPN
ejpam-4586	527	29	,	,	PUNCT
ejpam-4586	527	30	e1e2	e1e2	X
ejpam-4586	527	31	=	=	SYM
ejpam-4586	527	32	e0	e0	PROPN
ejpam-4586	527	33	,	,	PUNCT
ejpam-4586	527	34	e0e1	e0e1	NOUN
ejpam-4586	527	35	=	=	NOUN
ejpam-4586	527	36	β0e0	β0e0	PUNCT
ejpam-4586	527	37	+	+	CCONJ
ejpam-4586	527	38	β1e2	β1e2	NOUN
ejpam-4586	527	39	,	,	PUNCT
ejpam-4586	527	40	e0e2	e0e2	NOUN
ejpam-4586	527	41	=	=	SYM
ejpam-4586	527	42	e0	e0	PROPN
ejpam-4586	527	43	.	.	PUNCT
ejpam-4586	528	1	vi.5	vi.5	PROPN
ejpam-4586	528	2	)	)	PUNCT
ejpam-4586	528	3	β0	β0	NOUN
ejpam-4586	528	4	=	=	NOUN
ejpam-4586	528	5	0	0	PROPN
ejpam-4586	528	6	.	.	PUNCT
ejpam-4586	529	1	the	the	DET
ejpam-4586	529	2	table	table	NOUN
ejpam-4586	529	3	of	of	ADP
ejpam-4586	529	4	a	a	PRON
ejpam-4586	529	5	is	be	AUX
ejpam-4586	529	6	:	:	PUNCT
ejpam-4586	529	7	e2	e2	PROPN
ejpam-4586	529	8	=	=	SYM
ejpam-4586	529	9	e	e	PROPN
ejpam-4586	529	10	,	,	PUNCT
ejpam-4586	529	11	ee0	ee0	X
ejpam-4586	529	12	=	=	PUNCT
ejpam-4586	529	13	1	1	NUM
ejpam-4586	529	14	2e0	2e0	NUM
ejpam-4586	529	15	,	,	PUNCT
ejpam-4586	529	16	ee1	ee1	NOUN
ejpam-4586	530	1	=	=	SYM
ejpam-4586	530	2	λe1	λe1	NOUN
ejpam-4586	530	3	,	,	PUNCT
ejpam-4586	530	4	ee2	ee2	NOUN
ejpam-4586	530	5	=	=	SYM
ejpam-4586	530	6	λe2	λe2	PROPN
ejpam-4586	530	7	,	,	PUNCT
ejpam-4586	530	8	e20	e20	NOUN
ejpam-4586	530	9	=	=	SYM
ejpam-4586	530	10	0	0	NUM
ejpam-4586	530	11	,	,	PUNCT
ejpam-4586	530	12	e21	e21	NUM
ejpam-4586	530	13	=	=	SYM
ejpam-4586	530	14	0	0	NUM
ejpam-4586	530	15	,	,	PUNCT
ejpam-4586	530	16	e22	e22	X
ejpam-4586	530	17	=	=	SYM
ejpam-4586	530	18	µe0	µe0	X
ejpam-4586	530	19	,	,	PUNCT
ejpam-4586	530	20	e1e2	e1e2	X
ejpam-4586	530	21	=	=	SYM
ejpam-4586	530	22	ρe0	ρe0	NOUN
ejpam-4586	530	23	,	,	PUNCT
ejpam-4586	530	24	e0e1	e0e1	NOUN
ejpam-4586	530	25	=	=	SYM
ejpam-4586	530	26	β1e2	β1e2	PROPN
ejpam-4586	530	27	,	,	PUNCT
ejpam-4586	530	28	e0e2	e0e2	NOUN
ejpam-4586	530	29	=	=	SYM
ejpam-4586	530	30	γ0e0	γ0e0	X
ejpam-4586	530	31	.	.	PUNCT
ejpam-4586	531	1	let	let	VERB
ejpam-4586	531	2	q	q	PART
ejpam-4586	531	3	be	be	AUX
ejpam-4586	531	4	the	the	DET
ejpam-4586	531	5	quadratic	quadratic	NOUN
ejpam-4586	531	6	of	of	ADP
ejpam-4586	531	7	polar	polar	ADJ
ejpam-4586	531	8	forms	form	NOUN
ejpam-4586	531	9	φ	φ	PROPN
ejpam-4586	531	10	defined	define	VERB
ejpam-4586	531	11	from	from	ADP
ejpam-4586	531	12	a1/2	a1/2	PROPN
ejpam-4586	531	13	⊕	⊕	PROPN
ejpam-4586	531	14	aλ	aλ	PROPN
ejpam-4586	531	15	⊕	⊕	PROPN
ejpam-4586	531	16	aλ	aλ	VERB
ejpam-4586	531	17	to	to	ADP
ejpam-4586	531	18	k	k	PROPN
ejpam-4586	531	19	by	by	ADP
ejpam-4586	531	20	:	:	PUNCT
ejpam-4586	531	21	φ(e0	φ(e0	NOUN
ejpam-4586	531	22	,	,	PUNCT
ejpam-4586	531	23	e0	e0	PROPN
ejpam-4586	531	24	)	)	PUNCT
ejpam-4586	532	1	=	=	SYM
ejpam-4586	532	2	q(e0	q(e0	NOUN
ejpam-4586	532	3	)	)	PUNCT
ejpam-4586	532	4	=	=	SYM
ejpam-4586	532	5	0	0	NUM
ejpam-4586	532	6	,	,	PUNCT
ejpam-4586	532	7	φ(e1	φ(e1	NOUN
ejpam-4586	532	8	,	,	PUNCT
ejpam-4586	532	9	e1	e1	PROPN
ejpam-4586	532	10	)	)	PUNCT
ejpam-4586	532	11	=	=	SYM
ejpam-4586	532	12	q(e1	q(e1	NOUN
ejpam-4586	532	13	)	)	PUNCT
ejpam-4586	532	14	=	=	SYM
ejpam-4586	532	15	0	0	NUM
ejpam-4586	532	16	,	,	PUNCT
ejpam-4586	532	17	φ(e2	φ(e2	NOUN
ejpam-4586	532	18	,	,	PUNCT
ejpam-4586	532	19	e2	e2	PROPN
ejpam-4586	532	20	)	)	PUNCT
ejpam-4586	532	21	=	=	SYM
ejpam-4586	532	22	q(e2	q(e2	NOUN
ejpam-4586	532	23	)	)	PUNCT
ejpam-4586	532	24	=	=	SYM
ejpam-4586	532	25	µ	µ	NOUN
ejpam-4586	532	26	,	,	PUNCT
ejpam-4586	532	27	φ(e0	φ(e0	NOUN
ejpam-4586	532	28	,	,	PUNCT
ejpam-4586	532	29	e1	e1	NOUN
ejpam-4586	532	30	)	)	PUNCT
ejpam-4586	532	31	=	=	SYM
ejpam-4586	532	32	β1	β1	NOUN
ejpam-4586	532	33	,	,	PUNCT
ejpam-4586	532	34	φ(e0	φ(e0	NOUN
ejpam-4586	532	35	,	,	PUNCT
ejpam-4586	532	36	e2	e2	NOUN
ejpam-4586	532	37	)	)	PUNCT
ejpam-4586	532	38	=	=	SYM
ejpam-4586	532	39	γ1	γ1	NOUN
ejpam-4586	532	40	,	,	PUNCT
ejpam-4586	532	41	φ(e1	φ(e1	PROPN
ejpam-4586	532	42	,	,	PUNCT
ejpam-4586	532	43	e2	e2	PROPN
ejpam-4586	532	44	)	)	PUNCT
ejpam-4586	532	45	=	=	SYM
ejpam-4586	532	46	ρ	ρ	PROPN
ejpam-4586	532	47	.	.	PUNCT
ejpam-4586	533	1	the	the	DET
ejpam-4586	533	2	matrix	matrix	NOUN
ejpam-4586	533	3	of	of	ADP
ejpam-4586	533	4	q	q	NOUN
ejpam-4586	533	5	in	in	ADP
ejpam-4586	533	6	the	the	DET
ejpam-4586	533	7	basis	basis	NOUN
ejpam-4586	533	8	(	(	PUNCT
ejpam-4586	533	9	e0	e0	PROPN
ejpam-4586	533	10	,	,	PUNCT
ejpam-4586	533	11	e1	e1	PROPN
ejpam-4586	533	12	,	,	PUNCT
ejpam-4586	533	13	e2	e2	PROPN
ejpam-4586	533	14	)	)	PUNCT
ejpam-4586	533	15	is	be	AUX
ejpam-4586	533	16	given	give	VERB
ejpam-4586	533	17	by	by	ADP
ejpam-4586	533	18	:	:	PUNCT
ejpam-4586	533	19	m	m	PROPN
ejpam-4586	533	20	=	=	SYM
ejpam-4586	533	21			PROPN
ejpam-4586	533	22	0	0	NUM
ejpam-4586	533	23	β1	β1	PROPN
ejpam-4586	533	24	γ0	γ0	PROPN
ejpam-4586	533	25	β1	β1	PROPN
ejpam-4586	533	26	0	0	NUM
ejpam-4586	533	27	ρ	ρ	PROPN
ejpam-4586	533	28	γ0	γ0	PROPN
ejpam-4586	533	29	ρ	ρ	PROPN
ejpam-4586	533	30	µ	µ	PRON
ejpam-4586	533	31			PROPN
ejpam-4586	533	32	,	,	PUNCT
ejpam-4586	533	33	so	so	ADV
ejpam-4586	533	34	detm	detm	NOUN
ejpam-4586	533	35	=	=	PUNCT
ejpam-4586	533	36	β1(2γ0ρ−	β1(2γ0ρ−	PROPN
ejpam-4586	533	37	β1µ	β1µ	PROPN
ejpam-4586	533	38	)	)	PUNCT
ejpam-4586	533	39	.	.	PUNCT
ejpam-4586	534	1	vi.6	vi.6	PROPN
ejpam-4586	534	2	)	)	PUNCT
ejpam-4586	534	3	ρ	ρ	PROPN
ejpam-4586	534	4	=	=	SYM
ejpam-4586	534	5	µ	µ	X
ejpam-4586	534	6	=	=	SYM
ejpam-4586	534	7	0	0	NUM
ejpam-4586	534	8	,	,	PUNCT
ejpam-4586	534	9	then	then	ADV
ejpam-4586	534	10	we	we	PRON
ejpam-4586	534	11	can	can	AUX
ejpam-4586	534	12	set	set	VERB
ejpam-4586	534	13	β1	β1	NOUN
ejpam-4586	534	14	=	=	SYM
ejpam-4586	534	15	γ0	γ0	NOUN
ejpam-4586	534	16	=	=	SYM
ejpam-4586	534	17	1	1	NUM
ejpam-4586	534	18	and	and	CCONJ
ejpam-4586	534	19	e2	e2	PROPN
ejpam-4586	534	20	=	=	SYM
ejpam-4586	534	21	e	e	PROPN
ejpam-4586	534	22	,	,	PUNCT
ejpam-4586	534	23	ee0	ee0	X
ejpam-4586	534	24	=	=	PUNCT
ejpam-4586	534	25	1	1	NUM
ejpam-4586	534	26	2e0	2e0	NUM
ejpam-4586	534	27	,	,	PUNCT
ejpam-4586	534	28	ee1	ee1	NOUN
ejpam-4586	535	1	=	=	SYM
ejpam-4586	535	2	λe1	λe1	NOUN
ejpam-4586	535	3	,	,	PUNCT
ejpam-4586	535	4	ee2	ee2	NOUN
ejpam-4586	535	5	=	=	SYM
ejpam-4586	535	6	λe2	λe2	PROPN
ejpam-4586	535	7	,	,	PUNCT
ejpam-4586	535	8	e20	e20	NOUN
ejpam-4586	535	9	=	=	SYM
ejpam-4586	535	10	0	0	NUM
ejpam-4586	535	11	,	,	PUNCT
ejpam-4586	535	12	e21	e21	NUM
ejpam-4586	535	13	=	=	SYM
ejpam-4586	535	14	0	0	NUM
ejpam-4586	535	15	,	,	PUNCT
ejpam-4586	535	16	e22	e22	X
ejpam-4586	535	17	=	=	SYM
ejpam-4586	535	18	0	0	NUM
ejpam-4586	535	19	,	,	PUNCT
ejpam-4586	535	20	e1e2	e1e2	X
ejpam-4586	535	21	=	=	SYM
ejpam-4586	535	22	0	0	NUM
ejpam-4586	535	23	,	,	PUNCT
ejpam-4586	535	24	e0e1	e0e1	NOUN
ejpam-4586	535	25	=	=	PROPN
ejpam-4586	535	26	e2	e2	PROPN
ejpam-4586	535	27	,	,	PUNCT
ejpam-4586	535	28	e0e2	e0e2	NOUN
ejpam-4586	535	29	=	=	SYM
ejpam-4586	535	30	e0	e0	PROPN
ejpam-4586	535	31	.	.	PUNCT
ejpam-4586	536	1	vi.7	vi.7	NUM
ejpam-4586	536	2	)	)	PUNCT
ejpam-4586	536	3	ρ	ρ	PROPN
ejpam-4586	536	4	=	=	SYM
ejpam-4586	536	5	0	0	NUM
ejpam-4586	536	6	,	,	PUNCT
ejpam-4586	536	7	µ	µ	DET
ejpam-4586	536	8	̸=	̸=	PROPN
ejpam-4586	536	9	0	0	NUM
ejpam-4586	536	10	,	,	PUNCT
ejpam-4586	536	11	then	then	ADV
ejpam-4586	536	12	we	we	PRON
ejpam-4586	536	13	can	can	AUX
ejpam-4586	536	14	set	set	VERB
ejpam-4586	536	15	β1	β1	PROPN
ejpam-4586	536	16	=	=	SYM
ejpam-4586	536	17	γ0	γ0	NOUN
ejpam-4586	536	18	=	=	SYM
ejpam-4586	536	19	µ	µ	X
ejpam-4586	536	20	=	=	SYM
ejpam-4586	536	21	1	1	NUM
ejpam-4586	536	22	and	and	CCONJ
ejpam-4586	536	23	e2	e2	PROPN
ejpam-4586	536	24	=	=	SYM
ejpam-4586	536	25	e	e	PROPN
ejpam-4586	536	26	,	,	PUNCT
ejpam-4586	536	27	ee0	ee0	X
ejpam-4586	536	28	=	=	PUNCT
ejpam-4586	536	29	1	1	NUM
ejpam-4586	536	30	2e0	2e0	NUM
ejpam-4586	536	31	,	,	PUNCT
ejpam-4586	536	32	ee1	ee1	NOUN
ejpam-4586	537	1	=	=	SYM
ejpam-4586	537	2	λe1	λe1	NOUN
ejpam-4586	537	3	,	,	PUNCT
ejpam-4586	537	4	ee2	ee2	NOUN
ejpam-4586	537	5	=	=	SYM
ejpam-4586	537	6	λe2	λe2	PROPN
ejpam-4586	537	7	,	,	PUNCT
ejpam-4586	537	8	e20	e20	NOUN
ejpam-4586	537	9	=	=	SYM
ejpam-4586	537	10	0	0	NUM
ejpam-4586	537	11	,	,	PUNCT
ejpam-4586	537	12	e21	e21	NUM
ejpam-4586	537	13	=	=	SYM
ejpam-4586	537	14	0	0	NUM
ejpam-4586	537	15	,	,	PUNCT
ejpam-4586	537	16	e22	e22	X
ejpam-4586	537	17	=	=	SYM
ejpam-4586	537	18	e0	e0	PROPN
ejpam-4586	537	19	,	,	PUNCT
ejpam-4586	537	20	e1e2	e1e2	X
ejpam-4586	537	21	=	=	SYM
ejpam-4586	537	22	0	0	NUM
ejpam-4586	537	23	,	,	PUNCT
ejpam-4586	537	24	e0e1	e0e1	NOUN
ejpam-4586	537	25	=	=	PROPN
ejpam-4586	537	26	e2	e2	PROPN
ejpam-4586	537	27	,	,	PUNCT
ejpam-4586	537	28	e0e2	e0e2	NOUN
ejpam-4586	537	29	=	=	SYM
ejpam-4586	537	30	e0	e0	PROPN
ejpam-4586	537	31	.	.	PUNCT
ejpam-4586	538	1	vi.8	vi.8	PROPN
ejpam-4586	538	2	)	)	PUNCT
ejpam-4586	538	3	ρ	ρ	PROPN
ejpam-4586	538	4	̸=	̸=	PROPN
ejpam-4586	538	5	0	0	NUM
ejpam-4586	538	6	,	,	PUNCT
ejpam-4586	538	7	µ	µ	X
ejpam-4586	538	8	=	=	SYM
ejpam-4586	538	9	0	0	NUM
ejpam-4586	538	10	,	,	PUNCT
ejpam-4586	538	11	then	then	ADV
ejpam-4586	538	12	we	we	PRON
ejpam-4586	538	13	can	can	AUX
ejpam-4586	538	14	set	set	VERB
ejpam-4586	538	15	β1	β1	NOUN
ejpam-4586	538	16	=	=	SYM
ejpam-4586	538	17	γ0	γ0	NOUN
ejpam-4586	538	18	=	=	SYM
ejpam-4586	538	19	1	1	NUM
ejpam-4586	538	20	and	and	CCONJ
ejpam-4586	538	21	e2	e2	PROPN
ejpam-4586	538	22	=	=	SYM
ejpam-4586	538	23	e	e	PROPN
ejpam-4586	538	24	,	,	PUNCT
ejpam-4586	538	25	ee0	ee0	X
ejpam-4586	538	26	=	=	PUNCT
ejpam-4586	538	27	1	1	NUM
ejpam-4586	538	28	2e0	2e0	NUM
ejpam-4586	538	29	,	,	PUNCT
ejpam-4586	538	30	ee1	ee1	NOUN
ejpam-4586	539	1	=	=	SYM
ejpam-4586	539	2	λe1	λe1	NOUN
ejpam-4586	539	3	,	,	PUNCT
ejpam-4586	539	4	ee2	ee2	NOUN
ejpam-4586	539	5	=	=	SYM
ejpam-4586	539	6	λe2	λe2	PROPN
ejpam-4586	539	7	,	,	PUNCT
ejpam-4586	539	8	e20	e20	NOUN
ejpam-4586	539	9	=	=	SYM
ejpam-4586	539	10	0	0	NUM
ejpam-4586	539	11	,	,	PUNCT
ejpam-4586	539	12	e21	e21	NUM
ejpam-4586	539	13	=	=	SYM
ejpam-4586	539	14	0	0	NUM
ejpam-4586	539	15	,	,	PUNCT
ejpam-4586	539	16	e22	e22	X
ejpam-4586	539	17	=	=	SYM
ejpam-4586	539	18	0	0	NUM
ejpam-4586	539	19	,	,	PUNCT
ejpam-4586	539	20	e1e2	e1e2	X
ejpam-4586	539	21	=	=	SYM
ejpam-4586	539	22	ρe0	ρe0	NOUN
ejpam-4586	539	23	,	,	PUNCT
ejpam-4586	539	24	e0e1	e0e1	PROPN
ejpam-4586	539	25	=	=	PROPN
ejpam-4586	539	26	e2	e2	PROPN
ejpam-4586	539	27	,	,	PUNCT
ejpam-4586	539	28	e0e2	e0e2	NOUN
ejpam-4586	539	29	=	=	SYM
ejpam-4586	539	30	e0	e0	PROPN
ejpam-4586	539	31	.	.	PUNCT
ejpam-4586	540	1	vi.9	vi.9	X
ejpam-4586	540	2	)	)	PUNCT
ejpam-4586	540	3	ρµ	ρµ	PROPN
ejpam-4586	540	4	̸=	̸=	PROPN
ejpam-4586	540	5	0	0	NUM
ejpam-4586	540	6	,	,	PUNCT
ejpam-4586	540	7	then	then	ADV
ejpam-4586	540	8	we	we	PRON
ejpam-4586	540	9	can	can	AUX
ejpam-4586	540	10	set	set	VERB
ejpam-4586	540	11	β1	β1	PROPN
ejpam-4586	540	12	=	=	SYM
ejpam-4586	540	13	γ0	γ0	PROPN
ejpam-4586	540	14	=	=	SYM
ejpam-4586	540	15	µ	µ	X
ejpam-4586	540	16	=	=	SYM
ejpam-4586	540	17	1	1	NUM
ejpam-4586	540	18	,	,	PUNCT
ejpam-4586	540	19	e2	e2	PROPN
ejpam-4586	540	20	=	=	SYM
ejpam-4586	540	21	e	e	PROPN
ejpam-4586	540	22	,	,	PUNCT
ejpam-4586	540	23	ee0	ee0	X
ejpam-4586	540	24	=	=	PUNCT
ejpam-4586	540	25	1	1	NUM
ejpam-4586	540	26	2e0	2e0	NUM
ejpam-4586	540	27	,	,	PUNCT
ejpam-4586	540	28	ee1	ee1	NOUN
ejpam-4586	541	1	=	=	SYM
ejpam-4586	541	2	λe1	λe1	NOUN
ejpam-4586	541	3	,	,	PUNCT
ejpam-4586	541	4	ee2	ee2	NOUN
ejpam-4586	541	5	=	=	SYM
ejpam-4586	541	6	λe2	λe2	PROPN
ejpam-4586	541	7	,	,	PUNCT
ejpam-4586	541	8	e20	e20	NOUN
ejpam-4586	541	9	=	=	SYM
ejpam-4586	541	10	0	0	NUM
ejpam-4586	541	11	,	,	PUNCT
ejpam-4586	541	12	e21	e21	NUM
ejpam-4586	541	13	=	=	SYM
ejpam-4586	541	14	0	0	NUM
ejpam-4586	541	15	,	,	PUNCT
ejpam-4586	541	16	e22	e22	X
ejpam-4586	541	17	=	=	SYM
ejpam-4586	541	18	e0	e0	PROPN
ejpam-4586	541	19	,	,	PUNCT
ejpam-4586	541	20	e1e2	e1e2	X
ejpam-4586	541	21	=	=	SYM
ejpam-4586	541	22	ρe0	ρe0	NOUN
ejpam-4586	541	23	,	,	PUNCT
ejpam-4586	541	24	e0e1	e0e1	PROPN
ejpam-4586	541	25	=	=	PROPN
ejpam-4586	541	26	e2	e2	PROPN
ejpam-4586	541	27	,	,	PUNCT
ejpam-4586	541	28	e0e2	e0e2	NOUN
ejpam-4586	541	29	=	=	SYM
ejpam-4586	541	30	e0	e0	PROPN
ejpam-4586	541	31	.	.	PUNCT
ejpam-4586	542	1	vii	vii	PROPN
ejpam-4586	542	2	)	)	PUNCT
ejpam-4586	542	3	α1	α1	PROPN
ejpam-4586	542	4	=	=	SYM
ejpam-4586	542	5	α0	α0	PROPN
ejpam-4586	542	6	=	=	SYM
ejpam-4586	542	7	γ0	γ0	PROPN
ejpam-4586	542	8	=	=	SYM
ejpam-4586	542	9	µ	µ	X
ejpam-4586	542	10	=	=	SYM
ejpam-4586	542	11	γ	γ	X
ejpam-4586	542	12	=	=	SYM
ejpam-4586	542	13	0	0	NUM
ejpam-4586	542	14	and	and	CCONJ
ejpam-4586	542	15	γ1	γ1	PROPN
ejpam-4586	542	16	̸=	̸=	PROPN
ejpam-4586	542	17	0	0	NUM
ejpam-4586	542	18	,	,	PUNCT
ejpam-4586	542	19	β1	β1	PROPN
ejpam-4586	542	20	̸=	̸=	PROPN
ejpam-4586	542	21	0	0	NUM
ejpam-4586	542	22	.	.	PUNCT
ejpam-4586	543	1	the	the	DET
ejpam-4586	543	2	table	table	NOUN
ejpam-4586	543	3	of	of	ADP
ejpam-4586	543	4	a	a	PRON
ejpam-4586	543	5	is	be	AUX
ejpam-4586	543	6	:	:	PUNCT
ejpam-4586	543	7	e2	e2	PROPN
ejpam-4586	543	8	=	=	SYM
ejpam-4586	543	9	e	e	PROPN
ejpam-4586	543	10	,	,	PUNCT
ejpam-4586	543	11	ee0	ee0	X
ejpam-4586	543	12	=	=	PUNCT
ejpam-4586	543	13	1	1	NUM
ejpam-4586	543	14	2e0	2e0	NUM
ejpam-4586	543	15	,	,	PUNCT
ejpam-4586	543	16	ee1	ee1	NOUN
ejpam-4586	544	1	=	=	SYM
ejpam-4586	544	2	λe1	λe1	NOUN
ejpam-4586	544	3	,	,	PUNCT
ejpam-4586	544	4	ee2	ee2	NOUN
ejpam-4586	544	5	=	=	SYM
ejpam-4586	544	6	λe2	λe2	PROPN
ejpam-4586	544	7	,	,	PUNCT
ejpam-4586	544	8	e20	e20	NOUN
ejpam-4586	544	9	=	=	SYM
ejpam-4586	544	10	0	0	NUM
ejpam-4586	544	11	,	,	PUNCT
ejpam-4586	544	12	e21	e21	NUM
ejpam-4586	544	13	=	=	SYM
ejpam-4586	544	14	0	0	NUM
ejpam-4586	544	15	,	,	PUNCT
ejpam-4586	544	16	e22	e22	X
ejpam-4586	544	17	=	=	SYM
ejpam-4586	544	18	0	0	NUM
ejpam-4586	544	19	,	,	PUNCT
ejpam-4586	544	20	e1e2	e1e2	X
ejpam-4586	544	21	=	=	SYM
ejpam-4586	544	22	ρe0	ρe0	NOUN
ejpam-4586	544	23	,	,	PUNCT
ejpam-4586	544	24	e0e1	e0e1	NOUN
ejpam-4586	544	25	=	=	NOUN
ejpam-4586	544	26	β0e0	β0e0	PUNCT
ejpam-4586	544	27	+	+	CCONJ
ejpam-4586	544	28	β1e2	β1e2	PROPN
ejpam-4586	544	29	,	,	PUNCT
ejpam-4586	544	30	w.	w.	PROPN
ejpam-4586	544	31	a.	a.	PROPN
ejpam-4586	544	32	zangre	zangre	PROPN
ejpam-4586	544	33	,	,	PUNCT
ejpam-4586	544	34	a.	a.	NOUN
ejpam-4586	544	35	conseibo	conseibo	PROPN
ejpam-4586	544	36	/	/	SYM
ejpam-4586	544	37	eur	eur	PROPN
ejpam-4586	544	38	.	.	PUNCT
ejpam-4586	545	1	j.	j.	PROPN
ejpam-4586	545	2	pure	pure	PROPN
ejpam-4586	545	3	appl	appl	PROPN
ejpam-4586	545	4	.	.	PROPN
ejpam-4586	545	5	math	math	PROPN
ejpam-4586	545	6	,	,	PUNCT
ejpam-4586	545	7	15	15	NUM
ejpam-4586	545	8	(	(	PUNCT
ejpam-4586	545	9	4	4	NUM
ejpam-4586	545	10	)	)	PUNCT
ejpam-4586	545	11	(	(	PUNCT
ejpam-4586	545	12	2022	2022	NUM
ejpam-4586	545	13	)	)	PUNCT
ejpam-4586	545	14	,	,	PUNCT
ejpam-4586	545	15	1887	1887	NUM
ejpam-4586	545	16	-	-	SYM
ejpam-4586	545	17	1907	1907	NUM
ejpam-4586	545	18	1904	1904	NUM
ejpam-4586	545	19	e0e2	e0e2	NOUN
ejpam-4586	545	20	=	=	SYM
ejpam-4586	545	21	γ1e1	γ1e1	PROPN
ejpam-4586	545	22	.	.	PUNCT
ejpam-4586	545	23	vii.1	vii.1	PROPN
ejpam-4586	545	24	)	)	PUNCT
ejpam-4586	545	25	β0	β0	NOUN
ejpam-4586	545	26	=	=	SYM
ejpam-4586	545	27	ρ	ρ	PROPN
ejpam-4586	545	28	=	=	SYM
ejpam-4586	545	29	0	0	NUM
ejpam-4586	545	30	,	,	PUNCT
ejpam-4586	545	31	we	we	PRON
ejpam-4586	545	32	can	can	AUX
ejpam-4586	545	33	set	set	VERB
ejpam-4586	545	34	β1	β1	NOUN
ejpam-4586	545	35	=	=	SYM
ejpam-4586	545	36	γ1	γ1	PROPN
ejpam-4586	545	37	=	=	SYM
ejpam-4586	545	38	1	1	NUM
ejpam-4586	545	39	,	,	PUNCT
ejpam-4586	545	40	the	the	DET
ejpam-4586	545	41	table	table	NOUN
ejpam-4586	545	42	of	of	ADP
ejpam-4586	545	43	a	a	PRON
ejpam-4586	545	44	is	be	AUX
ejpam-4586	545	45	:	:	PUNCT
ejpam-4586	546	1	e2	e2	PROPN
ejpam-4586	546	2	=	=	SYM
ejpam-4586	546	3	e	e	PROPN
ejpam-4586	546	4	,	,	PUNCT
ejpam-4586	546	5	ee0	ee0	X
ejpam-4586	546	6	=	=	PUNCT
ejpam-4586	546	7	1	1	NUM
ejpam-4586	546	8	2e0	2e0	NUM
ejpam-4586	546	9	,	,	PUNCT
ejpam-4586	546	10	ee1	ee1	NOUN
ejpam-4586	546	11	=	=	SYM
ejpam-4586	546	12	λe1	λe1	NOUN
ejpam-4586	546	13	,	,	PUNCT
ejpam-4586	546	14	ee2	ee2	NOUN
ejpam-4586	546	15	=	=	SYM
ejpam-4586	546	16	λe2	λe2	PROPN
ejpam-4586	546	17	,	,	PUNCT
ejpam-4586	546	18	e20	e20	NOUN
ejpam-4586	546	19	=	=	SYM
ejpam-4586	546	20	0	0	NUM
ejpam-4586	546	21	,	,	PUNCT
ejpam-4586	546	22	e21	e21	NUM
ejpam-4586	546	23	=	=	SYM
ejpam-4586	546	24	0	0	NUM
ejpam-4586	546	25	,	,	PUNCT
ejpam-4586	546	26	e22	e22	X
ejpam-4586	546	27	=	=	SYM
ejpam-4586	546	28	0	0	NUM
ejpam-4586	546	29	,	,	PUNCT
ejpam-4586	546	30	e1e2	e1e2	X
ejpam-4586	546	31	=	=	SYM
ejpam-4586	546	32	0	0	NUM
ejpam-4586	546	33	,	,	PUNCT
ejpam-4586	546	34	e0e1	e0e1	NOUN
ejpam-4586	546	35	=	=	PROPN
ejpam-4586	546	36	e2	e2	PROPN
ejpam-4586	546	37	,	,	PUNCT
ejpam-4586	546	38	e0e2	e0e2	NOUN
ejpam-4586	546	39	=	=	SYM
ejpam-4586	546	40	e1	e1	PROPN
ejpam-4586	546	41	.	.	PUNCT
ejpam-4586	547	1	vii.2	vii.2	PROPN
ejpam-4586	547	2	)	)	PUNCT
ejpam-4586	547	3	β0	β0	NOUN
ejpam-4586	547	4	=	=	SYM
ejpam-4586	547	5	0	0	PROPN
ejpam-4586	547	6	,	,	PUNCT
ejpam-4586	547	7	ρ	ρ	NUM
ejpam-4586	547	8	̸=	̸=	PROPN
ejpam-4586	547	9	0	0	NUM
ejpam-4586	547	10	,	,	PUNCT
ejpam-4586	547	11	we	we	PRON
ejpam-4586	547	12	can	can	AUX
ejpam-4586	547	13	set	set	VERB
ejpam-4586	547	14	β1	β1	NOUN
ejpam-4586	547	15	=	=	SYM
ejpam-4586	547	16	γ1	γ1	PROPN
ejpam-4586	547	17	.	.	PUNCT
ejpam-4586	548	1	the	the	DET
ejpam-4586	548	2	table	table	NOUN
ejpam-4586	548	3	of	of	ADP
ejpam-4586	548	4	a	a	PRON
ejpam-4586	548	5	is	be	AUX
ejpam-4586	548	6	:	:	PUNCT
ejpam-4586	548	7	e2	e2	PROPN
ejpam-4586	548	8	=	=	SYM
ejpam-4586	548	9	e	e	PROPN
ejpam-4586	548	10	,	,	PUNCT
ejpam-4586	548	11	ee0	ee0	X
ejpam-4586	548	12	=	=	PUNCT
ejpam-4586	548	13	1	1	NUM
ejpam-4586	548	14	2e0	2e0	NUM
ejpam-4586	548	15	,	,	PUNCT
ejpam-4586	548	16	ee1	ee1	NOUN
ejpam-4586	549	1	=	=	SYM
ejpam-4586	549	2	λe1	λe1	NOUN
ejpam-4586	549	3	,	,	PUNCT
ejpam-4586	549	4	ee2	ee2	NOUN
ejpam-4586	549	5	=	=	SYM
ejpam-4586	549	6	λe2	λe2	PROPN
ejpam-4586	549	7	,	,	PUNCT
ejpam-4586	549	8	e20	e20	NOUN
ejpam-4586	549	9	=	=	SYM
ejpam-4586	549	10	0	0	NUM
ejpam-4586	549	11	,	,	PUNCT
ejpam-4586	549	12	e21	e21	NUM
ejpam-4586	549	13	=	=	SYM
ejpam-4586	549	14	0	0	NUM
ejpam-4586	549	15	,	,	PUNCT
ejpam-4586	549	16	e22	e22	X
ejpam-4586	549	17	=	=	SYM
ejpam-4586	549	18	0	0	NUM
ejpam-4586	549	19	,	,	PUNCT
ejpam-4586	549	20	e1e2	e1e2	X
ejpam-4586	549	21	=	=	SYM
ejpam-4586	549	22	ρe0	ρe0	NOUN
ejpam-4586	549	23	,	,	PUNCT
ejpam-4586	549	24	e0e1	e0e1	PROPN
ejpam-4586	549	25	=	=	PROPN
ejpam-4586	549	26	e2	e2	PROPN
ejpam-4586	549	27	,	,	PUNCT
ejpam-4586	549	28	e0e2	e0e2	NOUN
ejpam-4586	549	29	=	=	SYM
ejpam-4586	549	30	e1	e1	NOUN
ejpam-4586	549	31	.	.	PUNCT
ejpam-4586	550	1	vii.3	vii.3	X
ejpam-4586	550	2	)	)	PUNCT
ejpam-4586	550	3	β0	β0	NOUN
ejpam-4586	550	4	̸=	̸=	PROPN
ejpam-4586	550	5	0	0	NUM
ejpam-4586	550	6	,	,	PUNCT
ejpam-4586	550	7	ρ	ρ	PROPN
ejpam-4586	550	8	=	=	SYM
ejpam-4586	550	9	0	0	NUM
ejpam-4586	550	10	.	.	PUNCT
ejpam-4586	551	1	we	we	PRON
ejpam-4586	551	2	can	can	AUX
ejpam-4586	551	3	set	set	VERB
ejpam-4586	551	4	γ1	γ1	NOUN
ejpam-4586	551	5	and	and	CCONJ
ejpam-4586	551	6	the	the	DET
ejpam-4586	551	7	table	table	NOUN
ejpam-4586	551	8	of	of	ADP
ejpam-4586	551	9	a	a	PRON
ejpam-4586	551	10	is	be	AUX
ejpam-4586	551	11	:	:	PUNCT
ejpam-4586	552	1	e2	e2	PROPN
ejpam-4586	552	2	=	=	SYM
ejpam-4586	552	3	e	e	PROPN
ejpam-4586	552	4	,	,	PUNCT
ejpam-4586	552	5	ee0	ee0	X
ejpam-4586	552	6	=	=	PUNCT
ejpam-4586	552	7	1	1	NUM
ejpam-4586	552	8	2e0	2e0	NUM
ejpam-4586	552	9	,	,	PUNCT
ejpam-4586	552	10	ee1	ee1	NOUN
ejpam-4586	552	11	=	=	SYM
ejpam-4586	552	12	λe1	λe1	NOUN
ejpam-4586	552	13	,	,	PUNCT
ejpam-4586	552	14	ee2	ee2	NOUN
ejpam-4586	552	15	=	=	SYM
ejpam-4586	552	16	λe2	λe2	PROPN
ejpam-4586	552	17	,	,	PUNCT
ejpam-4586	552	18	e20	e20	NOUN
ejpam-4586	552	19	=	=	SYM
ejpam-4586	552	20	0	0	NUM
ejpam-4586	552	21	,	,	PUNCT
ejpam-4586	552	22	e21	e21	NUM
ejpam-4586	552	23	=	=	SYM
ejpam-4586	552	24	0	0	NUM
ejpam-4586	552	25	,	,	PUNCT
ejpam-4586	552	26	e22	e22	X
ejpam-4586	552	27	=	=	SYM
ejpam-4586	552	28	0	0	NUM
ejpam-4586	552	29	,	,	PUNCT
ejpam-4586	552	30	e1e2	e1e2	X
ejpam-4586	552	31	=	=	SYM
ejpam-4586	552	32	0	0	NUM
ejpam-4586	552	33	,	,	PUNCT
ejpam-4586	552	34	e0e1	e0e1	NOUN
ejpam-4586	552	35	=	=	SYM
ejpam-4586	552	36	β0e0+β1e2	β0e0+β1e2	PROPN
ejpam-4586	552	37	,	,	PUNCT
ejpam-4586	552	38	e0e2	e0e2	NOUN
ejpam-4586	552	39	=	=	SYM
ejpam-4586	552	40	e1	e1	NOUN
ejpam-4586	552	41	.	.	PUNCT
ejpam-4586	553	1	vii.4	vii.4	NUM
ejpam-4586	553	2	)	)	PUNCT
ejpam-4586	553	3	β0ρ	β0ρ	PUNCT
ejpam-4586	553	4	̸=	̸=	PROPN
ejpam-4586	553	5	0	0	NUM
ejpam-4586	553	6	.	.	PUNCT
ejpam-4586	554	1	the	the	DET
ejpam-4586	554	2	table	table	NOUN
ejpam-4586	554	3	of	of	ADP
ejpam-4586	554	4	a	a	PRON
ejpam-4586	554	5	is	be	AUX
ejpam-4586	554	6	:	:	PUNCT
ejpam-4586	554	7	e2	e2	PROPN
ejpam-4586	554	8	=	=	SYM
ejpam-4586	554	9	e	e	PROPN
ejpam-4586	554	10	,	,	PUNCT
ejpam-4586	554	11	ee0	ee0	X
ejpam-4586	554	12	=	=	PUNCT
ejpam-4586	554	13	1	1	NUM
ejpam-4586	554	14	2e0	2e0	NUM
ejpam-4586	554	15	,	,	PUNCT
ejpam-4586	554	16	ee1	ee1	NOUN
ejpam-4586	555	1	=	=	SYM
ejpam-4586	555	2	λe1	λe1	NOUN
ejpam-4586	555	3	,	,	PUNCT
ejpam-4586	555	4	ee2	ee2	NOUN
ejpam-4586	555	5	=	=	SYM
ejpam-4586	555	6	λe2	λe2	PROPN
ejpam-4586	555	7	,	,	PUNCT
ejpam-4586	555	8	e20	e20	NOUN
ejpam-4586	555	9	=	=	SYM
ejpam-4586	555	10	0	0	NUM
ejpam-4586	555	11	,	,	PUNCT
ejpam-4586	555	12	e21	e21	NUM
ejpam-4586	555	13	=	=	SYM
ejpam-4586	555	14	0	0	NUM
ejpam-4586	555	15	,	,	PUNCT
ejpam-4586	555	16	e22	e22	X
ejpam-4586	555	17	=	=	SYM
ejpam-4586	555	18	0	0	NUM
ejpam-4586	555	19	,	,	PUNCT
ejpam-4586	555	20	e1e2	e1e2	X
ejpam-4586	555	21	=	=	SYM
ejpam-4586	555	22	ρe0	ρe0	NOUN
ejpam-4586	555	23	,	,	PUNCT
ejpam-4586	555	24	e0e1	e0e1	NOUN
ejpam-4586	555	25	=	=	NOUN
ejpam-4586	555	26	β0e0	β0e0	PUNCT
ejpam-4586	555	27	+	+	CCONJ
ejpam-4586	555	28	β1e2	β1e2	NOUN
ejpam-4586	555	29	,	,	PUNCT
ejpam-4586	555	30	e0e2	e0e2	NOUN
ejpam-4586	555	31	=	=	SYM
ejpam-4586	555	32	γ1e1	γ1e1	PROPN
ejpam-4586	555	33	.	.	PUNCT
ejpam-4586	556	1	this	this	DET
ejpam-4586	556	2	case	case	NOUN
ejpam-4586	556	3	is	be	AUX
ejpam-4586	556	4	impossible	impossible	ADJ
ejpam-4586	556	5	because	because	SCONJ
ejpam-4586	556	6	a	a	DET
ejpam-4586	556	7	not	not	PART
ejpam-4586	556	8	verifies	verifie	NOUN
ejpam-4586	556	9	the	the	DET
ejpam-4586	556	10	identity	identity	NOUN
ejpam-4586	556	11	(	(	PUNCT
ejpam-4586	556	12	x4)2	x4)2	NUM
ejpam-4586	556	13	−	−	NOUN
ejpam-4586	556	14	ω(x)4x4	ω(x)4x4	NOUN
ejpam-4586	557	1	=	=	SYM
ejpam-4586	557	2	0	0	X
ejpam-4586	557	3	.	.	PUNCT
ejpam-4586	557	4	viii	viii	ADJ
ejpam-4586	557	5	)	)	PUNCT
ejpam-4586	557	6	α1	α1	PROPN
ejpam-4586	557	7	=	=	SYM
ejpam-4586	557	8	α0	α0	PROPN
ejpam-4586	557	9	=	=	SYM
ejpam-4586	557	10	µ	µ	X
ejpam-4586	557	11	=	=	SYM
ejpam-4586	557	12	γ	γ	X
ejpam-4586	557	13	=	=	SYM
ejpam-4586	557	14	0	0	NUM
ejpam-4586	557	15	and	and	CCONJ
ejpam-4586	557	16	γ0γ1	γ0γ1	PRON
ejpam-4586	557	17	̸=	̸=	PROPN
ejpam-4586	557	18	0	0	NUM
ejpam-4586	557	19	,	,	PUNCT
ejpam-4586	557	20	β1	β1	PROPN
ejpam-4586	557	21	̸=	̸=	PROPN
ejpam-4586	557	22	0	0	NUM
ejpam-4586	557	23	.	.	PUNCT
ejpam-4586	558	1	the	the	DET
ejpam-4586	558	2	table	table	NOUN
ejpam-4586	558	3	of	of	ADP
ejpam-4586	558	4	a	a	PRON
ejpam-4586	558	5	is	be	AUX
ejpam-4586	558	6	:	:	PUNCT
ejpam-4586	558	7	e2	e2	PROPN
ejpam-4586	558	8	=	=	SYM
ejpam-4586	558	9	e	e	PROPN
ejpam-4586	558	10	,	,	PUNCT
ejpam-4586	558	11	ee0	ee0	X
ejpam-4586	558	12	=	=	PUNCT
ejpam-4586	558	13	1	1	NUM
ejpam-4586	558	14	2e0	2e0	NUM
ejpam-4586	558	15	,	,	PUNCT
ejpam-4586	558	16	ee1	ee1	NOUN
ejpam-4586	559	1	=	=	SYM
ejpam-4586	559	2	λe1	λe1	NOUN
ejpam-4586	559	3	,	,	PUNCT
ejpam-4586	559	4	ee2	ee2	NOUN
ejpam-4586	559	5	=	=	SYM
ejpam-4586	559	6	λe2	λe2	PROPN
ejpam-4586	559	7	,	,	PUNCT
ejpam-4586	559	8	e20	e20	NOUN
ejpam-4586	559	9	=	=	SYM
ejpam-4586	559	10	0	0	NUM
ejpam-4586	559	11	,	,	PUNCT
ejpam-4586	559	12	e21	e21	NUM
ejpam-4586	559	13	=	=	SYM
ejpam-4586	559	14	0	0	NUM
ejpam-4586	559	15	,	,	PUNCT
ejpam-4586	559	16	e22	e22	X
ejpam-4586	559	17	=	=	SYM
ejpam-4586	559	18	0	0	NUM
ejpam-4586	559	19	,	,	PUNCT
ejpam-4586	559	20	e1e2	e1e2	X
ejpam-4586	559	21	=	=	SYM
ejpam-4586	559	22	ρe0	ρe0	NOUN
ejpam-4586	559	23	,	,	PUNCT
ejpam-4586	559	24	e0e1	e0e1	NOUN
ejpam-4586	559	25	=	=	NOUN
ejpam-4586	559	26	β0e0	β0e0	PUNCT
ejpam-4586	559	27	+	+	CCONJ
ejpam-4586	559	28	β1e2	β1e2	NOUN
ejpam-4586	559	29	,	,	PUNCT
ejpam-4586	559	30	e0e2	e0e2	NOUN
ejpam-4586	559	31	=	=	SYM
ejpam-4586	559	32	γ1e1	γ1e1	ADP
ejpam-4586	559	33	+	+	CCONJ
ejpam-4586	559	34	γ0e0	γ0e0	X
ejpam-4586	559	35	.	.	X
ejpam-4586	559	36	viii.1	viii.1	X
ejpam-4586	559	37	)	)	PUNCT
ejpam-4586	559	38	β0	β0	NOUN
ejpam-4586	559	39	=	=	SYM
ejpam-4586	559	40	ρ	ρ	PROPN
ejpam-4586	559	41	=	=	SYM
ejpam-4586	559	42	0	0	NUM
ejpam-4586	559	43	,	,	PUNCT
ejpam-4586	559	44	without	without	ADP
ejpam-4586	559	45	loss	loss	NOUN
ejpam-4586	559	46	of	of	ADP
ejpam-4586	559	47	generality	generality	NOUN
ejpam-4586	559	48	.	.	PUNCT
ejpam-4586	560	1	it	it	PRON
ejpam-4586	560	2	suffices	suffice	VERB
ejpam-4586	560	3	to	to	PART
ejpam-4586	560	4	make	make	VERB
ejpam-4586	560	5	some	some	DET
ejpam-4586	560	6	basis	basis	NOUN
ejpam-4586	560	7	transformations	transformation	NOUN
ejpam-4586	560	8	to	to	PART
ejpam-4586	560	9	prove	prove	VERB
ejpam-4586	560	10	that	that	SCONJ
ejpam-4586	560	11	β1	β1	PROPN
ejpam-4586	560	12	=	=	PUNCT
ejpam-4586	560	13	1	1	NUM
ejpam-4586	560	14	and	and	CCONJ
ejpam-4586	560	15	the	the	DET
ejpam-4586	560	16	table	table	NOUN
ejpam-4586	560	17	of	of	ADP
ejpam-4586	560	18	a	a	PRON
ejpam-4586	560	19	is	be	AUX
ejpam-4586	560	20	:	:	PUNCT
ejpam-4586	560	21	e2	e2	PROPN
ejpam-4586	560	22	=	=	SYM
ejpam-4586	560	23	e	e	PROPN
ejpam-4586	560	24	,	,	PUNCT
ejpam-4586	560	25	ee0	ee0	X
ejpam-4586	560	26	=	=	PUNCT
ejpam-4586	560	27	1	1	NUM
ejpam-4586	560	28	2e0	2e0	NUM
ejpam-4586	560	29	,	,	PUNCT
ejpam-4586	560	30	ee1	ee1	NOUN
ejpam-4586	561	1	=	=	SYM
ejpam-4586	561	2	λe1	λe1	NOUN
ejpam-4586	561	3	,	,	PUNCT
ejpam-4586	561	4	ee2	ee2	NOUN
ejpam-4586	561	5	=	=	SYM
ejpam-4586	561	6	λe2	λe2	PROPN
ejpam-4586	561	7	,	,	PUNCT
ejpam-4586	561	8	e20	e20	NOUN
ejpam-4586	561	9	=	=	SYM
ejpam-4586	561	10	0	0	NUM
ejpam-4586	561	11	,	,	PUNCT
ejpam-4586	561	12	e21	e21	NUM
ejpam-4586	561	13	=	=	SYM
ejpam-4586	561	14	0	0	NUM
ejpam-4586	561	15	,	,	PUNCT
ejpam-4586	561	16	e22	e22	X
ejpam-4586	561	17	=	=	SYM
ejpam-4586	561	18	0	0	NUM
ejpam-4586	561	19	,	,	PUNCT
ejpam-4586	561	20	e1e2	e1e2	X
ejpam-4586	561	21	=	=	SYM
ejpam-4586	561	22	0	0	NUM
ejpam-4586	561	23	,	,	PUNCT
ejpam-4586	561	24	e0e1	e0e1	NOUN
ejpam-4586	561	25	=	=	PROPN
ejpam-4586	561	26	e2	e2	PROPN
ejpam-4586	561	27	,	,	PUNCT
ejpam-4586	561	28	e0e2	e0e2	NOUN
ejpam-4586	561	29	=	=	SYM
ejpam-4586	561	30	γ1e1	γ1e1	ADP
ejpam-4586	561	31	+	+	CCONJ
ejpam-4586	561	32	γ0e0	γ0e0	X
ejpam-4586	561	33	.	.	PUNCT
ejpam-4586	561	34	viii.2	viii.2	PROPN
ejpam-4586	561	35	)	)	PUNCT
ejpam-4586	561	36	β0	β0	NOUN
ejpam-4586	561	37	=	=	SYM
ejpam-4586	561	38	0	0	PROPN
ejpam-4586	561	39	,	,	PUNCT
ejpam-4586	561	40	ρ	ρ	NUM
ejpam-4586	561	41	̸=	̸=	PROPN
ejpam-4586	561	42	0	0	NUM
ejpam-4586	561	43	,	,	PUNCT
ejpam-4586	561	44	without	without	ADP
ejpam-4586	561	45	loss	loss	NOUN
ejpam-4586	561	46	of	of	ADP
ejpam-4586	561	47	generality	generality	NOUN
ejpam-4586	561	48	.	.	PUNCT
ejpam-4586	562	1	it	it	PRON
ejpam-4586	562	2	suffices	suffice	VERB
ejpam-4586	562	3	to	to	PART
ejpam-4586	562	4	make	make	VERB
ejpam-4586	562	5	some	some	DET
ejpam-4586	562	6	basis	basis	NOUN
ejpam-4586	562	7	transformations	transformation	NOUN
ejpam-4586	562	8	to	to	PART
ejpam-4586	562	9	prove	prove	VERB
ejpam-4586	562	10	that	that	SCONJ
ejpam-4586	562	11	β1	β1	PROPN
ejpam-4586	562	12	=	=	PUNCT
ejpam-4586	562	13	1	1	NUM
ejpam-4586	562	14	and	and	CCONJ
ejpam-4586	562	15	the	the	DET
ejpam-4586	562	16	table	table	NOUN
ejpam-4586	562	17	of	of	ADP
ejpam-4586	562	18	a	a	PRON
ejpam-4586	562	19	is	be	AUX
ejpam-4586	562	20	:	:	PUNCT
ejpam-4586	562	21	e2	e2	PROPN
ejpam-4586	562	22	=	=	SYM
ejpam-4586	562	23	e	e	PROPN
ejpam-4586	562	24	,	,	PUNCT
ejpam-4586	562	25	ee0	ee0	X
ejpam-4586	562	26	=	=	PUNCT
ejpam-4586	562	27	1	1	NUM
ejpam-4586	562	28	2e0	2e0	NUM
ejpam-4586	562	29	,	,	PUNCT
ejpam-4586	562	30	ee1	ee1	NOUN
ejpam-4586	563	1	=	=	SYM
ejpam-4586	563	2	λe1	λe1	NOUN
ejpam-4586	563	3	,	,	PUNCT
ejpam-4586	563	4	ee2	ee2	NOUN
ejpam-4586	563	5	=	=	SYM
ejpam-4586	563	6	λe2	λe2	PROPN
ejpam-4586	563	7	,	,	PUNCT
ejpam-4586	563	8	e20	e20	NOUN
ejpam-4586	563	9	=	=	SYM
ejpam-4586	563	10	0	0	NUM
ejpam-4586	563	11	,	,	PUNCT
ejpam-4586	563	12	e21	e21	NUM
ejpam-4586	563	13	=	=	SYM
ejpam-4586	563	14	0	0	NUM
ejpam-4586	563	15	,	,	PUNCT
ejpam-4586	563	16	e22	e22	X
ejpam-4586	563	17	=	=	SYM
ejpam-4586	563	18	0	0	NUM
ejpam-4586	563	19	,	,	PUNCT
ejpam-4586	563	20	e1e2	e1e2	X
ejpam-4586	563	21	=	=	SYM
ejpam-4586	563	22	ρe0	ρe0	NOUN
ejpam-4586	563	23	,	,	PUNCT
ejpam-4586	563	24	e0e1	e0e1	PROPN
ejpam-4586	563	25	=	=	PROPN
ejpam-4586	563	26	e2	e2	PROPN
ejpam-4586	563	27	,	,	PUNCT
ejpam-4586	563	28	e0e2	e0e2	NOUN
ejpam-4586	563	29	=	=	PUNCT
ejpam-4586	563	30	γ1e1+γ0e0	γ1e1+γ0e0	X
ejpam-4586	563	31	.	.	PUNCT
ejpam-4586	564	1	this	this	DET
ejpam-4586	564	2	case	case	NOUN
ejpam-4586	564	3	is	be	AUX
ejpam-4586	564	4	impossible	impossible	ADJ
ejpam-4586	564	5	because	because	SCONJ
ejpam-4586	564	6	a	a	DET
ejpam-4586	564	7	not	not	PART
ejpam-4586	564	8	verifies	verifie	NOUN
ejpam-4586	564	9	the	the	DET
ejpam-4586	564	10	identity	identity	NOUN
ejpam-4586	564	11	(	(	PUNCT
ejpam-4586	564	12	x4)2−ω(x)4x4	x4)2−ω(x)4x4	PROPN
ejpam-4586	564	13	=	=	SYM
ejpam-4586	564	14	0	0	NUM
ejpam-4586	564	15	.	.	PUNCT
ejpam-4586	565	1	(	(	PUNCT
ejpam-4586	565	2	for	for	ADP
ejpam-4586	565	3	x	x	SYM
ejpam-4586	565	4	=	=	SYM
ejpam-4586	565	5	e0+e2	e0+e2	PROPN
ejpam-4586	565	6	)	)	PUNCT
ejpam-4586	565	7	viii.3	viii.3	PROPN
ejpam-4586	565	8	)	)	PUNCT
ejpam-4586	565	9	β0	β0	NOUN
ejpam-4586	565	10	̸=	̸=	PROPN
ejpam-4586	565	11	0	0	NUM
ejpam-4586	565	12	,	,	PUNCT
ejpam-4586	565	13	ρ	ρ	PROPN
ejpam-4586	565	14	=	=	SYM
ejpam-4586	565	15	0	0	NUM
ejpam-4586	565	16	,	,	PUNCT
ejpam-4586	565	17	without	without	ADP
ejpam-4586	565	18	loss	loss	NOUN
ejpam-4586	565	19	of	of	ADP
ejpam-4586	565	20	generality	generality	NOUN
ejpam-4586	565	21	.	.	PUNCT
ejpam-4586	566	1	it	it	PRON
ejpam-4586	566	2	suffices	suffice	VERB
ejpam-4586	566	3	to	to	PART
ejpam-4586	566	4	make	make	VERB
ejpam-4586	566	5	some	some	DET
ejpam-4586	566	6	basis	basis	NOUN
ejpam-4586	566	7	transformations	transformation	NOUN
ejpam-4586	566	8	to	to	PART
ejpam-4586	566	9	prove	prove	VERB
ejpam-4586	566	10	that	that	SCONJ
ejpam-4586	566	11	β1	β1	PROPN
ejpam-4586	566	12	=	=	PUNCT
ejpam-4586	566	13	1	1	NUM
ejpam-4586	566	14	and	and	CCONJ
ejpam-4586	566	15	the	the	DET
ejpam-4586	566	16	table	table	NOUN
ejpam-4586	566	17	of	of	ADP
ejpam-4586	566	18	a	a	PRON
ejpam-4586	566	19	is	be	AUX
ejpam-4586	566	20	:	:	PUNCT
ejpam-4586	566	21	e2	e2	PROPN
ejpam-4586	566	22	=	=	SYM
ejpam-4586	566	23	e	e	PROPN
ejpam-4586	566	24	,	,	PUNCT
ejpam-4586	566	25	ee0	ee0	X
ejpam-4586	566	26	=	=	PUNCT
ejpam-4586	566	27	1	1	NUM
ejpam-4586	566	28	2e0	2e0	NUM
ejpam-4586	566	29	,	,	PUNCT
ejpam-4586	566	30	ee1	ee1	NOUN
ejpam-4586	567	1	=	=	SYM
ejpam-4586	567	2	λe1	λe1	NOUN
ejpam-4586	567	3	,	,	PUNCT
ejpam-4586	567	4	ee2	ee2	NOUN
ejpam-4586	567	5	=	=	SYM
ejpam-4586	567	6	λe2	λe2	PROPN
ejpam-4586	567	7	,	,	PUNCT
ejpam-4586	567	8	e20	e20	NOUN
ejpam-4586	567	9	=	=	SYM
ejpam-4586	567	10	0	0	NUM
ejpam-4586	567	11	,	,	PUNCT
ejpam-4586	567	12	e21	e21	NUM
ejpam-4586	567	13	=	=	SYM
ejpam-4586	567	14	0	0	NUM
ejpam-4586	567	15	,	,	PUNCT
ejpam-4586	567	16	e22	e22	X
ejpam-4586	567	17	=	=	SYM
ejpam-4586	567	18	0	0	NUM
ejpam-4586	567	19	,	,	PUNCT
ejpam-4586	567	20	e1e2	e1e2	X
ejpam-4586	567	21	=	=	SYM
ejpam-4586	567	22	0	0	NUM
ejpam-4586	567	23	,	,	PUNCT
ejpam-4586	567	24	e0e1	e0e1	NOUN
ejpam-4586	567	25	=	=	SYM
ejpam-4586	567	26	β0e0	β0e0	PUNCT
ejpam-4586	567	27	+	+	NUM
ejpam-4586	567	28	e2	e2	PROPN
ejpam-4586	567	29	,	,	PUNCT
ejpam-4586	567	30	e0e2	e0e2	NOUN
ejpam-4586	567	31	=	=	SYM
ejpam-4586	567	32	γ1e1	γ1e1	ADP
ejpam-4586	567	33	+	+	CCONJ
ejpam-4586	567	34	γ0e0	γ0e0	X
ejpam-4586	567	35	.	.	NOUN
ejpam-4586	568	1	this	this	DET
ejpam-4586	568	2	case	case	NOUN
ejpam-4586	568	3	is	be	AUX
ejpam-4586	568	4	impossible	impossible	ADJ
ejpam-4586	568	5	because	because	SCONJ
ejpam-4586	568	6	a	a	DET
ejpam-4586	568	7	not	not	PART
ejpam-4586	568	8	verifies	verifie	NOUN
ejpam-4586	568	9	the	the	DET
ejpam-4586	568	10	identity	identity	NOUN
ejpam-4586	568	11	(	(	PUNCT
ejpam-4586	568	12	x4)2	x4)2	NUM
ejpam-4586	568	13	−	−	NOUN
ejpam-4586	568	14	ω(x)4x4	ω(x)4x4	NOUN
ejpam-4586	568	15	=	=	SYM
ejpam-4586	568	16	0	0	NUM
ejpam-4586	568	17	.	.	PUNCT
ejpam-4586	568	18	viii.4	viii.4	NOUN
ejpam-4586	568	19	)	)	PUNCT
ejpam-4586	568	20	β0ρ	β0ρ	PUNCT
ejpam-4586	568	21	̸=	̸=	PROPN
ejpam-4586	568	22	0	0	NUM
ejpam-4586	568	23	,	,	PUNCT
ejpam-4586	568	24	without	without	ADP
ejpam-4586	568	25	loss	loss	NOUN
ejpam-4586	568	26	of	of	ADP
ejpam-4586	568	27	generality	generality	NOUN
ejpam-4586	568	28	.	.	PUNCT
ejpam-4586	569	1	it	it	PRON
ejpam-4586	569	2	suffices	suffice	VERB
ejpam-4586	569	3	to	to	PART
ejpam-4586	569	4	make	make	VERB
ejpam-4586	569	5	some	some	DET
ejpam-4586	569	6	basis	basis	NOUN
ejpam-4586	569	7	transformations	transformation	NOUN
ejpam-4586	569	8	to	to	PART
ejpam-4586	569	9	prove	prove	VERB
ejpam-4586	569	10	that	that	SCONJ
ejpam-4586	569	11	ρ	ρ	PROPN
ejpam-4586	569	12	=	=	SYM
ejpam-4586	569	13	1	1	NUM
ejpam-4586	569	14	and	and	CCONJ
ejpam-4586	569	15	the	the	DET
ejpam-4586	569	16	table	table	NOUN
ejpam-4586	569	17	of	of	ADP
ejpam-4586	569	18	a	a	PRON
ejpam-4586	569	19	is	be	AUX
ejpam-4586	569	20	:	:	PUNCT
ejpam-4586	569	21	e2	e2	PROPN
ejpam-4586	569	22	=	=	SYM
ejpam-4586	569	23	e	e	PROPN
ejpam-4586	569	24	,	,	PUNCT
ejpam-4586	569	25	ee0	ee0	X
ejpam-4586	569	26	=	=	PUNCT
ejpam-4586	569	27	1	1	NUM
ejpam-4586	569	28	2e0	2e0	NUM
ejpam-4586	569	29	,	,	PUNCT
ejpam-4586	569	30	ee1	ee1	NOUN
ejpam-4586	570	1	=	=	SYM
ejpam-4586	570	2	λe1	λe1	NOUN
ejpam-4586	570	3	,	,	PUNCT
ejpam-4586	570	4	ee2	ee2	NOUN
ejpam-4586	570	5	=	=	SYM
ejpam-4586	570	6	λe2	λe2	PROPN
ejpam-4586	570	7	,	,	PUNCT
ejpam-4586	570	8	e20	e20	NOUN
ejpam-4586	570	9	=	=	SYM
ejpam-4586	570	10	0	0	NUM
ejpam-4586	570	11	,	,	PUNCT
ejpam-4586	570	12	e21	e21	NUM
ejpam-4586	570	13	=	=	SYM
ejpam-4586	570	14	0	0	NUM
ejpam-4586	570	15	,	,	PUNCT
ejpam-4586	570	16	e22	e22	X
ejpam-4586	570	17	=	=	SYM
ejpam-4586	570	18	0	0	NUM
ejpam-4586	570	19	,	,	PUNCT
ejpam-4586	570	20	e1e2	e1e2	X
ejpam-4586	570	21	=	=	SYM
ejpam-4586	570	22	e0	e0	PROPN
ejpam-4586	570	23	,	,	PUNCT
ejpam-4586	570	24	e0e1	e0e1	NOUN
ejpam-4586	570	25	=	=	NOUN
ejpam-4586	570	26	β0e0	β0e0	PUNCT
ejpam-4586	570	27	+	+	CCONJ
ejpam-4586	570	28	β1e2	β1e2	NOUN
ejpam-4586	570	29	,	,	PUNCT
ejpam-4586	570	30	e0e2	e0e2	NOUN
ejpam-4586	570	31	=	=	SYM
ejpam-4586	570	32	γ1e1	γ1e1	ADP
ejpam-4586	570	33	+	+	CCONJ
ejpam-4586	570	34	γ0e0	γ0e0	X
ejpam-4586	570	35	.	.	NOUN
ejpam-4586	571	1	this	this	DET
ejpam-4586	571	2	case	case	NOUN
ejpam-4586	571	3	is	be	AUX
ejpam-4586	571	4	impossible	impossible	ADJ
ejpam-4586	571	5	because	because	SCONJ
ejpam-4586	571	6	a	a	DET
ejpam-4586	571	7	not	not	PART
ejpam-4586	571	8	verifies	verifie	NOUN
ejpam-4586	571	9	the	the	DET
ejpam-4586	571	10	identity	identity	NOUN
ejpam-4586	571	11	(	(	PUNCT
ejpam-4586	571	12	x4)2	x4)2	NUM
ejpam-4586	571	13	−	−	NOUN
ejpam-4586	571	14	ω(x)4x4	ω(x)4x4	NOUN
ejpam-4586	571	15	=	=	SYM
ejpam-4586	571	16	0	0	X
ejpam-4586	571	17	.	.	PUNCT
ejpam-4586	571	18	theorem	theorem	NOUN
ejpam-4586	571	19	5	5	NUM
ejpam-4586	571	20	.	.	PUNCT
ejpam-4586	572	1	let	let	VERB
ejpam-4586	572	2	a	a	PRON
ejpam-4586	572	3	be	be	AUX
ejpam-4586	572	4	a	a	DET
ejpam-4586	572	5	train	train	NOUN
ejpam-4586	572	6	algebra	algebra	NOUN
ejpam-4586	572	7	of	of	ADP
ejpam-4586	572	8	degree	degree	NOUN
ejpam-4586	572	9	2	2	NUM
ejpam-4586	572	10	and	and	CCONJ
ejpam-4586	572	11	exponent	exponent	NOUN
ejpam-4586	572	12	4	4	NUM
ejpam-4586	572	13	.	.	PUNCT
ejpam-4586	573	1	if	if	SCONJ
ejpam-4586	573	2	the	the	DET
ejpam-4586	573	3	type	type	NOUN
ejpam-4586	573	4	of	of	ADP
ejpam-4586	573	5	a	a	PRON
ejpam-4586	573	6	is	be	AUX
ejpam-4586	573	7	(	(	PUNCT
ejpam-4586	573	8	2	2	NUM
ejpam-4586	573	9	,	,	PUNCT
ejpam-4586	573	10	0	0	NUM
ejpam-4586	573	11	,	,	PUNCT
ejpam-4586	573	12	1	1	NUM
ejpam-4586	573	13	,	,	PUNCT
ejpam-4586	573	14	1	1	NUM
ejpam-4586	573	15	)	)	PUNCT
ejpam-4586	573	16	,	,	PUNCT
ejpam-4586	573	17	then	then	ADV
ejpam-4586	573	18	we	we	PRON
ejpam-4586	573	19	have	have	VERB
ejpam-4586	573	20	algebras	algebra	VERB
ejpam-4586	573	21	whose	whose	DET
ejpam-4586	573	22	multiplication	multiplication	NOUN
ejpam-4586	573	23	tables	table	NOUN
ejpam-4586	573	24	are	be	AUX
ejpam-4586	573	25	given	give	VERB
ejpam-4586	573	26	as	as	SCONJ
ejpam-4586	573	27	follows	follow	VERB
ejpam-4586	573	28	,	,	PUNCT
ejpam-4586	573	29	the	the	DET
ejpam-4586	573	30	unmentioned	unmentioned	ADJ
ejpam-4586	573	31	products	product	NOUN
ejpam-4586	573	32	being	be	AUX
ejpam-4586	573	33	zero	zero	NUM
ejpam-4586	573	34	,	,	PUNCT
ejpam-4586	573	35	the	the	DET
ejpam-4586	573	36	algebra	algebra	NOUN
ejpam-4586	573	37	is	be	AUX
ejpam-4586	573	38	denoted	denote	VERB
ejpam-4586	573	39	a(α	a(α	NOUN
ejpam-4586	573	40	)	)	PUNCT
ejpam-4586	573	41	or	or	CCONJ
ejpam-4586	573	42	a(α	a(α	NOUN
ejpam-4586	573	43	,	,	PUNCT
ejpam-4586	573	44	β	β	X
ejpam-4586	573	45	)	)	PUNCT
ejpam-4586	573	46	if	if	SCONJ
ejpam-4586	573	47	α	α	PROPN
ejpam-4586	573	48	and	and	CCONJ
ejpam-4586	573	49	β	β	X
ejpam-4586	573	50	are	be	AUX
ejpam-4586	573	51	the	the	DET
ejpam-4586	573	52	parameters	parameter	NOUN
ejpam-4586	573	53	which	which	PRON
ejpam-4586	573	54	appear	appear	VERB
ejpam-4586	573	55	in	in	ADP
ejpam-4586	573	56	the	the	DET
ejpam-4586	573	57	multiplication	multiplication	NOUN
ejpam-4586	573	58	table	table	NOUN
ejpam-4586	573	59	:	:	PUNCT
ejpam-4586	573	60	w.	w.	PROPN
ejpam-4586	573	61	a.	a.	PROPN
ejpam-4586	573	62	zangre	zangre	PROPN
ejpam-4586	573	63	,	,	PUNCT
ejpam-4586	573	64	a.	a.	NOUN
ejpam-4586	573	65	conseibo	conseibo	PROPN
ejpam-4586	573	66	/	/	SYM
ejpam-4586	573	67	eur	eur	PROPN
ejpam-4586	573	68	.	.	PUNCT
ejpam-4586	574	1	j.	j.	PROPN
ejpam-4586	574	2	pure	pure	PROPN
ejpam-4586	574	3	appl	appl	PROPN
ejpam-4586	574	4	.	.	PROPN
ejpam-4586	574	5	math	math	PROPN
ejpam-4586	574	6	,	,	PUNCT
ejpam-4586	574	7	15	15	NUM
ejpam-4586	574	8	(	(	PUNCT
ejpam-4586	574	9	4	4	NUM
ejpam-4586	574	10	)	)	PUNCT
ejpam-4586	574	11	(	(	PUNCT
ejpam-4586	574	12	2022	2022	NUM
ejpam-4586	574	13	)	)	PUNCT
ejpam-4586	574	14	,	,	PUNCT
ejpam-4586	574	15	1887	1887	NUM
ejpam-4586	574	16	-	-	SYM
ejpam-4586	574	17	1907	1907	NUM
ejpam-4586	574	18	1905	1905	NUM
ejpam-4586	574	19	1	1	NUM
ejpam-4586	574	20	)	)	PUNCT
ejpam-4586	574	21	e2	e2	NOUN
ejpam-4586	574	22	=	=	SYM
ejpam-4586	574	23	e	e	PROPN
ejpam-4586	574	24	,	,	PUNCT
ejpam-4586	574	25	ee0	ee0	X
ejpam-4586	574	26	=	=	PUNCT
ejpam-4586	574	27	1	1	NUM
ejpam-4586	574	28	2e0	2e0	NUM
ejpam-4586	574	29	,	,	PUNCT
ejpam-4586	574	30	ee1	ee1	X
ejpam-4586	575	1	=	=	PUNCT
ejpam-4586	576	1	λe1,ee2	λe1,ee2	PROPN
ejpam-4586	576	2	=	=	SYM
ejpam-4586	576	3	λe2	λe2	PROPN
ejpam-4586	576	4	,	,	PUNCT
ejpam-4586	576	5	e20	e20	PROPN
ejpam-4586	576	6	=	=	SYM
ejpam-4586	576	7	e2	e2	PROPN
ejpam-4586	576	8	,	,	PUNCT
ejpam-4586	576	9	e1e2	e1e2	X
ejpam-4586	576	10	=	=	SYM
ejpam-4586	576	11	αe0	αe0	PROPN
ejpam-4586	576	12	,	,	PUNCT
ejpam-4586	576	13	e0e2	e0e2	NOUN
ejpam-4586	576	14	=	=	SYM
ejpam-4586	576	15	e1	e1	NOUN
ejpam-4586	576	16	.	.	PUNCT
ejpam-4586	577	1	for	for	ADP
ejpam-4586	577	2	α	α	NOUN
ejpam-4586	577	3	and	and	CCONJ
ejpam-4586	577	4	α′	α′	PROPN
ejpam-4586	577	5	in	in	ADP
ejpam-4586	577	6	k⋆	k⋆	PROPN
ejpam-4586	577	7	,	,	PUNCT
ejpam-4586	577	8	a(α	a(α	ADV
ejpam-4586	577	9	)	)	PUNCT
ejpam-4586	577	10	and	and	CCONJ
ejpam-4586	577	11	a(α′	a(α′	PROPN
ejpam-4586	577	12	)	)	PUNCT
ejpam-4586	577	13	are	be	AUX
ejpam-4586	577	14	isomorph	isomorph	NOUN
ejpam-4586	577	15	if	if	SCONJ
ejpam-4586	578	1	and	and	CCONJ
ejpam-4586	578	2	only	only	ADV
ejpam-4586	578	3	if	if	SCONJ
ejpam-4586	578	4	it	it	PRON
ejpam-4586	578	5	exist	exist	VERB
ejpam-4586	578	6	k	k	PROPN
ejpam-4586	578	7	∈	∈	PROPN
ejpam-4586	578	8	k⋆	k⋆	NOUN
ejpam-4586	579	1	such	such	ADJ
ejpam-4586	579	2	that	that	SCONJ
ejpam-4586	579	3	α′	α′	NUM
ejpam-4586	579	4	=	=	SYM
ejpam-4586	579	5	k2α	k2α	NOUN
ejpam-4586	579	6	,	,	PUNCT
ejpam-4586	579	7	so	so	SCONJ
ejpam-4586	579	8	α′α−1	α′α−1	PROPN
ejpam-4586	579	9	∈	∈	PROPN
ejpam-4586	579	10	(	(	PUNCT
ejpam-4586	579	11	k⋆)2	k⋆)2	PROPN
ejpam-4586	579	12	.	.	NOUN
ejpam-4586	579	13	2	2	NUM
ejpam-4586	579	14	)	)	PUNCT
ejpam-4586	579	15	e2	e2	NOUN
ejpam-4586	579	16	=	=	SYM
ejpam-4586	579	17	e	e	PROPN
ejpam-4586	579	18	,	,	PUNCT
ejpam-4586	579	19	ee0	ee0	X
ejpam-4586	579	20	=	=	PUNCT
ejpam-4586	579	21	1	1	NUM
ejpam-4586	579	22	2e0	2e0	NUM
ejpam-4586	579	23	,	,	PUNCT
ejpam-4586	579	24	ee1	ee1	NOUN
ejpam-4586	579	25	=	=	SYM
ejpam-4586	579	26	λe1	λe1	NOUN
ejpam-4586	579	27	,	,	PUNCT
ejpam-4586	579	28	ee2	ee2	NOUN
ejpam-4586	579	29	=	=	SYM
ejpam-4586	579	30	λe2	λe2	PROPN
ejpam-4586	579	31	,	,	PUNCT
ejpam-4586	579	32	e21	e21	PROPN
ejpam-4586	579	33	=	=	SYM
ejpam-4586	579	34	e0	e0	PROPN
ejpam-4586	579	35	,	,	PUNCT
ejpam-4586	579	36	e22	e22	PROPN
ejpam-4586	579	37	=	=	SYM
ejpam-4586	579	38	αe0	αe0	PROPN
ejpam-4586	579	39	,	,	PUNCT
ejpam-4586	579	40	e1e2	e1e2	X
ejpam-4586	579	41	=	=	SYM
ejpam-4586	579	42	e0	e0	PROPN
ejpam-4586	579	43	;	;	PUNCT
ejpam-4586	579	44	for	for	ADP
ejpam-4586	579	45	α	α	NOUN
ejpam-4586	579	46	and	and	CCONJ
ejpam-4586	579	47	α′	α′	PROPN
ejpam-4586	579	48	in	in	ADP
ejpam-4586	579	49	k⋆	k⋆	PROPN
ejpam-4586	579	50	,	,	PUNCT
ejpam-4586	579	51	a(α	a(α	ADV
ejpam-4586	579	52	)	)	PUNCT
ejpam-4586	579	53	and	and	CCONJ
ejpam-4586	579	54	a(α′	a(α′	PROPN
ejpam-4586	579	55	)	)	PUNCT
ejpam-4586	579	56	are	be	AUX
ejpam-4586	579	57	isomorph	isomorph	NOUN
ejpam-4586	579	58	if	if	SCONJ
ejpam-4586	580	1	and	and	CCONJ
ejpam-4586	580	2	only	only	ADV
ejpam-4586	580	3	if	if	SCONJ
ejpam-4586	580	4	α′	α′	NUM
ejpam-4586	581	1	=	=	SYM
ejpam-4586	581	2	α	α	X
ejpam-4586	581	3	.	.	NOUN
ejpam-4586	581	4	3	3	NUM
ejpam-4586	581	5	)	)	PUNCT
ejpam-4586	581	6	e2	e2	NOUN
ejpam-4586	581	7	=	=	SYM
ejpam-4586	581	8	e	e	PROPN
ejpam-4586	581	9	,	,	PUNCT
ejpam-4586	581	10	ee0	ee0	X
ejpam-4586	581	11	=	=	PUNCT
ejpam-4586	581	12	1	1	NUM
ejpam-4586	581	13	2e0	2e0	NUM
ejpam-4586	581	14	,	,	PUNCT
ejpam-4586	581	15	ee1	ee1	NOUN
ejpam-4586	581	16	=	=	SYM
ejpam-4586	581	17	λe1	λe1	NOUN
ejpam-4586	581	18	,	,	PUNCT
ejpam-4586	581	19	ee2	ee2	NOUN
ejpam-4586	581	20	=	=	SYM
ejpam-4586	581	21	λe2	λe2	PROPN
ejpam-4586	581	22	,	,	PUNCT
ejpam-4586	581	23	e21	e21	PROPN
ejpam-4586	581	24	=	=	SYM
ejpam-4586	581	25	αe0	αe0	PROPN
ejpam-4586	581	26	,	,	PUNCT
ejpam-4586	581	27	e1e2	e1e2	X
ejpam-4586	581	28	=	=	SYM
ejpam-4586	581	29	βe0	βe0	PROPN
ejpam-4586	581	30	,	,	PUNCT
ejpam-4586	581	31	e0e1	e0e1	NOUN
ejpam-4586	581	32	=	=	PROPN
ejpam-4586	581	33	e0	e0	PROPN
ejpam-4586	581	34	,	,	PUNCT
ejpam-4586	581	35	e0e2	e0e2	NOUN
ejpam-4586	581	36	=	=	SYM
ejpam-4586	581	37	e1	e1	NOUN
ejpam-4586	581	38	;	;	PUNCT
ejpam-4586	581	39	for	for	ADP
ejpam-4586	581	40	α	α	PRON
ejpam-4586	581	41	,	,	PUNCT
ejpam-4586	581	42	α′	α′	NUM
ejpam-4586	581	43	,	,	PUNCT
ejpam-4586	581	44	β	β	X
ejpam-4586	581	45	and	and	CCONJ
ejpam-4586	581	46	β′	β′	NUM
ejpam-4586	581	47	in	in	ADP
ejpam-4586	581	48	k⋆	k⋆	NOUN
ejpam-4586	581	49	,	,	PUNCT
ejpam-4586	581	50	a(β	a(β	NOUN
ejpam-4586	581	51	)	)	PUNCT
ejpam-4586	581	52	and	and	CCONJ
ejpam-4586	581	53	a(β′	a(β′	PROPN
ejpam-4586	581	54	)	)	PUNCT
ejpam-4586	581	55	are	be	AUX
ejpam-4586	581	56	isomorph	isomorph	NOUN
ejpam-4586	581	57	if	if	SCONJ
ejpam-4586	582	1	and	and	CCONJ
ejpam-4586	582	2	only	only	ADV
ejpam-4586	582	3	if	if	SCONJ
ejpam-4586	582	4	it	it	PRON
ejpam-4586	582	5	exist	exist	VERB
ejpam-4586	582	6	k	k	PROPN
ejpam-4586	582	7	∈	∈	PROPN
ejpam-4586	582	8	k⋆	k⋆	NOUN
ejpam-4586	583	1	such	such	ADJ
ejpam-4586	583	2	that	that	SCONJ
ejpam-4586	583	3	β′	β′	NUM
ejpam-4586	583	4	=	=	SYM
ejpam-4586	583	5	k2β	k2β	PROPN
ejpam-4586	583	6	,	,	PUNCT
ejpam-4586	583	7	so	so	ADV
ejpam-4586	583	8	β′β−1	β′β−1	SYM
ejpam-4586	583	9	∈	∈	PROPN
ejpam-4586	583	10	(	(	PUNCT
ejpam-4586	583	11	k⋆)2	k⋆)2	PROPN
ejpam-4586	583	12	.	.	NOUN
ejpam-4586	583	13	4	4	NUM
ejpam-4586	583	14	)	)	PUNCT
ejpam-4586	583	15	e2	e2	NOUN
ejpam-4586	583	16	=	=	SYM
ejpam-4586	583	17	e	e	PROPN
ejpam-4586	583	18	,	,	PUNCT
ejpam-4586	583	19	ee0	ee0	X
ejpam-4586	583	20	=	=	PUNCT
ejpam-4586	583	21	1	1	NUM
ejpam-4586	583	22	2e0	2e0	NUM
ejpam-4586	583	23	,	,	PUNCT
ejpam-4586	583	24	ee1	ee1	NOUN
ejpam-4586	584	1	=	=	SYM
ejpam-4586	584	2	λe1	λe1	NOUN
ejpam-4586	584	3	,	,	PUNCT
ejpam-4586	584	4	ee2	ee2	NOUN
ejpam-4586	584	5	=	=	SYM
ejpam-4586	584	6	λe2	λe2	PROPN
ejpam-4586	584	7	,	,	PUNCT
ejpam-4586	584	8	e21	e21	PROPN
ejpam-4586	584	9	=	=	SYM
ejpam-4586	584	10	e0	e0	PROPN
ejpam-4586	584	11	,	,	PUNCT
ejpam-4586	584	12	e1e2	e1e2	X
ejpam-4586	584	13	=	=	SYM
ejpam-4586	584	14	αe0	αe0	PROPN
ejpam-4586	584	15	,	,	PUNCT
ejpam-4586	584	16	e0e2	e0e2	NOUN
ejpam-4586	584	17	=	=	SYM
ejpam-4586	584	18	βe0	βe0	PROPN
ejpam-4586	584	19	+	+	NUM
ejpam-4586	584	20	e1	e1	NOUN
ejpam-4586	584	21	.	.	PUNCT
ejpam-4586	585	1	for	for	ADP
ejpam-4586	585	2	α	α	NOUN
ejpam-4586	585	3	and	and	CCONJ
ejpam-4586	585	4	α′	α′	PROPN
ejpam-4586	585	5	in	in	ADP
ejpam-4586	585	6	k⋆	k⋆	PROPN
ejpam-4586	585	7	,	,	PUNCT
ejpam-4586	585	8	a(α	a(α	ADV
ejpam-4586	585	9	)	)	PUNCT
ejpam-4586	585	10	and	and	CCONJ
ejpam-4586	585	11	a(α′	a(α′	PROPN
ejpam-4586	585	12	)	)	PUNCT
ejpam-4586	585	13	are	be	AUX
ejpam-4586	585	14	isomorph	isomorph	NOUN
ejpam-4586	585	15	if	if	SCONJ
ejpam-4586	586	1	and	and	CCONJ
ejpam-4586	586	2	only	only	ADV
ejpam-4586	586	3	if	if	SCONJ
ejpam-4586	586	4	it	it	PRON
ejpam-4586	586	5	exist	exist	VERB
ejpam-4586	586	6	k	k	PROPN
ejpam-4586	586	7	∈	∈	PROPN
ejpam-4586	586	8	k⋆	k⋆	NOUN
ejpam-4586	587	1	such	such	ADJ
ejpam-4586	587	2	that	that	SCONJ
ejpam-4586	587	3	α′	α′	NUM
ejpam-4586	587	4	=	=	SYM
ejpam-4586	587	5	k2α	k2α	NOUN
ejpam-4586	587	6	,	,	PUNCT
ejpam-4586	587	7	so	so	SCONJ
ejpam-4586	587	8	α′α−1	α′α−1	PROPN
ejpam-4586	587	9	∈	∈	PROPN
ejpam-4586	587	10	(	(	PUNCT
ejpam-4586	587	11	k⋆)2	k⋆)2	PROPN
ejpam-4586	587	12	.	.	NOUN
ejpam-4586	587	13	5	5	NUM
ejpam-4586	587	14	)	)	PUNCT
ejpam-4586	587	15	e2	e2	NOUN
ejpam-4586	587	16	=	=	SYM
ejpam-4586	587	17	e	e	PROPN
ejpam-4586	587	18	,	,	PUNCT
ejpam-4586	587	19	ee0	ee0	X
ejpam-4586	587	20	=	=	PUNCT
ejpam-4586	587	21	1	1	NUM
ejpam-4586	587	22	2e0	2e0	NUM
ejpam-4586	587	23	,	,	PUNCT
ejpam-4586	587	24	ee1	ee1	NOUN
ejpam-4586	587	25	=	=	SYM
ejpam-4586	587	26	λe1	λe1	NOUN
ejpam-4586	587	27	,	,	PUNCT
ejpam-4586	587	28	ee2	ee2	NOUN
ejpam-4586	587	29	=	=	SYM
ejpam-4586	587	30	λe2	λe2	PROPN
ejpam-4586	587	31	,	,	PUNCT
ejpam-4586	587	32	e22	e22	PROPN
ejpam-4586	587	33	=	=	SYM
ejpam-4586	587	34	e0	e0	PROPN
ejpam-4586	587	35	,	,	PUNCT
ejpam-4586	587	36	e0e1	e0e1	NOUN
ejpam-4586	587	37	=	=	SYM
ejpam-4586	587	38	αe0	αe0	NOUN
ejpam-4586	587	39	+	+	CCONJ
ejpam-4586	587	40	e2	e2	PROPN
ejpam-4586	587	41	.	.	PUNCT
ejpam-4586	588	1	6	6	NUM
ejpam-4586	588	2	)	)	PUNCT
ejpam-4586	588	3	e2	e2	NOUN
ejpam-4586	588	4	=	=	SYM
ejpam-4586	588	5	e	e	PROPN
ejpam-4586	588	6	,	,	PUNCT
ejpam-4586	588	7	ee0	ee0	X
ejpam-4586	588	8	=	=	PUNCT
ejpam-4586	588	9	1	1	NUM
ejpam-4586	588	10	2e0	2e0	NUM
ejpam-4586	588	11	,	,	PUNCT
ejpam-4586	588	12	ee1	ee1	NOUN
ejpam-4586	588	13	=	=	SYM
ejpam-4586	588	14	λe1	λe1	NOUN
ejpam-4586	588	15	,	,	PUNCT
ejpam-4586	588	16	ee2	ee2	NOUN
ejpam-4586	588	17	=	=	SYM
ejpam-4586	588	18	λe2	λe2	PROPN
ejpam-4586	588	19	,	,	PUNCT
ejpam-4586	588	20	e22	e22	PROPN
ejpam-4586	588	21	=	=	SYM
ejpam-4586	588	22	e0	e0	PROPN
ejpam-4586	588	23	,	,	PUNCT
ejpam-4586	588	24	e1e2	e1e2	X
ejpam-4586	588	25	=	=	SYM
ejpam-4586	588	26	αe0	αe0	PROPN
ejpam-4586	588	27	,	,	PUNCT
ejpam-4586	588	28	e0e1	e0e1	NOUN
ejpam-4586	588	29	=	=	PROPN
ejpam-4586	588	30	e2	e2	PROPN
ejpam-4586	588	31	.	.	PUNCT
ejpam-4586	589	1	for	for	ADP
ejpam-4586	589	2	α	α	NOUN
ejpam-4586	589	3	and	and	CCONJ
ejpam-4586	589	4	α′	α′	PROPN
ejpam-4586	589	5	in	in	ADP
ejpam-4586	589	6	k⋆	k⋆	PROPN
ejpam-4586	589	7	,	,	PUNCT
ejpam-4586	589	8	a(α	a(α	ADV
ejpam-4586	589	9	)	)	PUNCT
ejpam-4586	589	10	and	and	CCONJ
ejpam-4586	589	11	a(α′	a(α′	PROPN
ejpam-4586	589	12	)	)	PUNCT
ejpam-4586	589	13	are	be	AUX
ejpam-4586	589	14	isomorph	isomorph	NOUN
ejpam-4586	589	15	if	if	SCONJ
ejpam-4586	590	1	and	and	CCONJ
ejpam-4586	590	2	only	only	ADV
ejpam-4586	590	3	if	if	SCONJ
ejpam-4586	590	4	it	it	PRON
ejpam-4586	590	5	exist	exist	VERB
ejpam-4586	590	6	k	k	PROPN
ejpam-4586	590	7	∈	∈	PROPN
ejpam-4586	590	8	k⋆	k⋆	NOUN
ejpam-4586	591	1	such	such	ADJ
ejpam-4586	591	2	that	that	SCONJ
ejpam-4586	591	3	α′	α′	NUM
ejpam-4586	591	4	=	=	SYM
ejpam-4586	591	5	k2α	k2α	NOUN
ejpam-4586	591	6	,	,	PUNCT
ejpam-4586	591	7	so	so	SCONJ
ejpam-4586	591	8	α′α−1	α′α−1	PROPN
ejpam-4586	591	9	∈	∈	PROPN
ejpam-4586	591	10	(	(	PUNCT
ejpam-4586	591	11	k⋆)2	k⋆)2	PROPN
ejpam-4586	591	12	.	.	NOUN
ejpam-4586	591	13	7	7	NUM
ejpam-4586	591	14	)	)	PUNCT
ejpam-4586	591	15	e2	e2	NOUN
ejpam-4586	591	16	=	=	SYM
ejpam-4586	591	17	e	e	PROPN
ejpam-4586	591	18	,	,	PUNCT
ejpam-4586	591	19	ee0	ee0	X
ejpam-4586	591	20	=	=	PUNCT
ejpam-4586	591	21	1	1	NUM
ejpam-4586	591	22	2e0	2e0	NUM
ejpam-4586	591	23	,	,	PUNCT
ejpam-4586	591	24	ee1	ee1	NOUN
ejpam-4586	591	25	=	=	SYM
ejpam-4586	591	26	λe1	λe1	NOUN
ejpam-4586	591	27	,	,	PUNCT
ejpam-4586	591	28	ee2	ee2	NOUN
ejpam-4586	591	29	=	=	SYM
ejpam-4586	591	30	λe2	λe2	PROPN
ejpam-4586	591	31	,	,	PUNCT
ejpam-4586	591	32	e22	e22	PROPN
ejpam-4586	591	33	=	=	SYM
ejpam-4586	591	34	e0	e0	PROPN
ejpam-4586	591	35	,	,	PUNCT
ejpam-4586	591	36	e1e2	e1e2	X
ejpam-4586	591	37	=	=	SYM
ejpam-4586	591	38	αe0	αe0	PROPN
ejpam-4586	591	39	,	,	PUNCT
ejpam-4586	591	40	e0e1	e0e1	NOUN
ejpam-4586	591	41	=	=	SYM
ejpam-4586	591	42	βe0	βe0	PROPN
ejpam-4586	591	43	+	+	NUM
ejpam-4586	591	44	e2	e2	PROPN
ejpam-4586	591	45	.	.	PUNCT
ejpam-4586	592	1	for	for	ADP
ejpam-4586	592	2	α	α	NOUN
ejpam-4586	592	3	and	and	CCONJ
ejpam-4586	592	4	α′	α′	PROPN
ejpam-4586	592	5	in	in	ADP
ejpam-4586	592	6	k⋆	k⋆	PROPN
ejpam-4586	592	7	,	,	PUNCT
ejpam-4586	592	8	a(α	a(α	ADV
ejpam-4586	592	9	)	)	PUNCT
ejpam-4586	592	10	and	and	CCONJ
ejpam-4586	592	11	a(α′	a(α′	PROPN
ejpam-4586	592	12	)	)	PUNCT
ejpam-4586	592	13	are	be	AUX
ejpam-4586	592	14	isomorph	isomorph	NOUN
ejpam-4586	592	15	if	if	SCONJ
ejpam-4586	593	1	and	and	CCONJ
ejpam-4586	593	2	only	only	ADV
ejpam-4586	593	3	if	if	SCONJ
ejpam-4586	593	4	it	it	PRON
ejpam-4586	593	5	exist	exist	VERB
ejpam-4586	593	6	k	k	PROPN
ejpam-4586	593	7	∈	∈	PROPN
ejpam-4586	593	8	k⋆	k⋆	NOUN
ejpam-4586	594	1	such	such	ADJ
ejpam-4586	594	2	that	that	SCONJ
ejpam-4586	594	3	α′	α′	NUM
ejpam-4586	594	4	=	=	SYM
ejpam-4586	594	5	k2α	k2α	NOUN
ejpam-4586	594	6	,	,	PUNCT
ejpam-4586	594	7	so	so	SCONJ
ejpam-4586	594	8	α′α−1	α′α−1	PROPN
ejpam-4586	594	9	∈	∈	PROPN
ejpam-4586	594	10	(	(	PUNCT
ejpam-4586	594	11	k⋆)2	k⋆)2	PROPN
ejpam-4586	594	12	.	.	PROPN
ejpam-4586	594	13	8)	8)	NUM
ejpam-4586	594	14	e2	e2	NOUN
ejpam-4586	594	15	=	=	SYM
ejpam-4586	594	16	e	e	PROPN
ejpam-4586	594	17	,	,	PUNCT
ejpam-4586	594	18	ee0	ee0	X
ejpam-4586	594	19	=	=	PUNCT
ejpam-4586	594	20	1	1	NUM
ejpam-4586	594	21	2e0	2e0	NUM
ejpam-4586	594	22	,	,	PUNCT
ejpam-4586	594	23	ee1	ee1	NOUN
ejpam-4586	594	24	=	=	SYM
ejpam-4586	594	25	λe1	λe1	NOUN
ejpam-4586	594	26	,	,	PUNCT
ejpam-4586	594	27	ee2	ee2	NOUN
ejpam-4586	594	28	=	=	SYM
ejpam-4586	594	29	λe2	λe2	PROPN
ejpam-4586	594	30	,	,	PUNCT
ejpam-4586	594	31	e0e1	e0e1	NOUN
ejpam-4586	594	32	=	=	SYM
ejpam-4586	594	33	αe0	αe0	NOUN
ejpam-4586	594	34	+	+	CCONJ
ejpam-4586	594	35	e2	e2	PROPN
ejpam-4586	594	36	,	,	PUNCT
ejpam-4586	594	37	e0e2	e0e2	NOUN
ejpam-4586	594	38	=	=	SYM
ejpam-4586	594	39	e0	e0	PROPN
ejpam-4586	594	40	.	.	PUNCT
ejpam-4586	595	1	9	9	X
ejpam-4586	595	2	)	)	PUNCT
ejpam-4586	595	3	e2	e2	NOUN
ejpam-4586	595	4	=	=	SYM
ejpam-4586	595	5	e	e	PROPN
ejpam-4586	595	6	,	,	PUNCT
ejpam-4586	595	7	ee0	ee0	X
ejpam-4586	595	8	=	=	PUNCT
ejpam-4586	595	9	1	1	NUM
ejpam-4586	595	10	2e0	2e0	NUM
ejpam-4586	595	11	,	,	PUNCT
ejpam-4586	595	12	ee1	ee1	NOUN
ejpam-4586	595	13	=	=	SYM
ejpam-4586	595	14	λe1	λe1	NOUN
ejpam-4586	595	15	,	,	PUNCT
ejpam-4586	595	16	ee2	ee2	NOUN
ejpam-4586	595	17	=	=	SYM
ejpam-4586	595	18	λe2	λe2	PROPN
ejpam-4586	595	19	,	,	PUNCT
ejpam-4586	595	20	e22	e22	PROPN
ejpam-4586	595	21	=	=	SYM
ejpam-4586	595	22	e0	e0	PROPN
ejpam-4586	595	23	,	,	PUNCT
ejpam-4586	595	24	e0e1	e0e1	NOUN
ejpam-4586	595	25	=	=	SYM
ejpam-4586	595	26	αe0	αe0	NOUN
ejpam-4586	595	27	+	+	CCONJ
ejpam-4586	595	28	e2	e2	PROPN
ejpam-4586	595	29	,	,	PUNCT
ejpam-4586	595	30	e0e2	e0e2	NOUN
ejpam-4586	595	31	=	=	SYM
ejpam-4586	595	32	e0	e0	PROPN
ejpam-4586	595	33	.	.	PUNCT
ejpam-4586	596	1	for	for	ADP
ejpam-4586	596	2	α	α	NOUN
ejpam-4586	596	3	and	and	CCONJ
ejpam-4586	596	4	α′	α′	PROPN
ejpam-4586	596	5	in	in	ADP
ejpam-4586	596	6	k⋆	k⋆	PROPN
ejpam-4586	596	7	,	,	PUNCT
ejpam-4586	596	8	a(α	a(α	ADV
ejpam-4586	596	9	)	)	PUNCT
ejpam-4586	596	10	and	and	CCONJ
ejpam-4586	596	11	a(α′	a(α′	PROPN
ejpam-4586	596	12	)	)	PUNCT
ejpam-4586	596	13	are	be	AUX
ejpam-4586	596	14	isomorph	isomorph	NOUN
ejpam-4586	596	15	if	if	SCONJ
ejpam-4586	597	1	and	and	CCONJ
ejpam-4586	597	2	only	only	ADV
ejpam-4586	597	3	if	if	SCONJ
ejpam-4586	597	4	α′	α′	NUM
ejpam-4586	597	5	=	=	SYM
ejpam-4586	598	1	α	α	X
ejpam-4586	598	2	.	.	NOUN
ejpam-4586	598	3	10	10	NUM
ejpam-4586	598	4	)	)	PUNCT
ejpam-4586	598	5	e2	e2	NOUN
ejpam-4586	598	6	=	=	SYM
ejpam-4586	598	7	e	e	PROPN
ejpam-4586	598	8	,	,	PUNCT
ejpam-4586	598	9	ee0	ee0	X
ejpam-4586	598	10	=	=	PUNCT
ejpam-4586	598	11	1	1	NUM
ejpam-4586	598	12	2e0	2e0	NUM
ejpam-4586	598	13	,	,	PUNCT
ejpam-4586	598	14	ee1	ee1	NOUN
ejpam-4586	598	15	=	=	SYM
ejpam-4586	598	16	λe1	λe1	NOUN
ejpam-4586	598	17	,	,	PUNCT
ejpam-4586	598	18	ee2	ee2	NOUN
ejpam-4586	598	19	=	=	SYM
ejpam-4586	598	20	λe2	λe2	PROPN
ejpam-4586	598	21	,	,	PUNCT
ejpam-4586	598	22	e1e2	e1e2	X
ejpam-4586	598	23	=	=	SYM
ejpam-4586	598	24	e0	e0	PROPN
ejpam-4586	598	25	,	,	PUNCT
ejpam-4586	598	26	e0e1	e0e1	NOUN
ejpam-4586	598	27	=	=	SYM
ejpam-4586	598	28	αe0	αe0	NOUN
ejpam-4586	598	29	+	+	CCONJ
ejpam-4586	598	30	e2	e2	PROPN
ejpam-4586	598	31	,	,	PUNCT
ejpam-4586	598	32	e0e2	e0e2	NOUN
ejpam-4586	598	33	=	=	SYM
ejpam-4586	598	34	e0	e0	PROPN
ejpam-4586	598	35	.	.	PUNCT
ejpam-4586	599	1	for	for	ADP
ejpam-4586	599	2	α	α	NOUN
ejpam-4586	599	3	and	and	CCONJ
ejpam-4586	599	4	α′	α′	PROPN
ejpam-4586	599	5	in	in	ADP
ejpam-4586	599	6	k⋆	k⋆	PROPN
ejpam-4586	599	7	,	,	PUNCT
ejpam-4586	599	8	a(α	a(α	ADV
ejpam-4586	599	9	)	)	PUNCT
ejpam-4586	599	10	and	and	CCONJ
ejpam-4586	599	11	a(α′	a(α′	PROPN
ejpam-4586	599	12	)	)	PUNCT
ejpam-4586	599	13	are	be	AUX
ejpam-4586	599	14	isomorph	isomorph	NOUN
ejpam-4586	599	15	if	if	SCONJ
ejpam-4586	600	1	and	and	CCONJ
ejpam-4586	600	2	only	only	ADV
ejpam-4586	600	3	if	if	SCONJ
ejpam-4586	600	4	α′	α′	NUM
ejpam-4586	600	5	=	=	SYM
ejpam-4586	600	6	α	α	NOUN
ejpam-4586	600	7	or	or	CCONJ
ejpam-4586	600	8	α′	α′	NUM
ejpam-4586	600	9	=	=	SYM
ejpam-4586	600	10	−α	−α	NOUN
ejpam-4586	600	11	.	.	PUNCT
ejpam-4586	601	1	11	11	NUM
ejpam-4586	601	2	)	)	PUNCT
ejpam-4586	601	3	e2	e2	NOUN
ejpam-4586	601	4	=	=	SYM
ejpam-4586	601	5	e	e	PROPN
ejpam-4586	601	6	,	,	PUNCT
ejpam-4586	601	7	ee0	ee0	X
ejpam-4586	601	8	=	=	PUNCT
ejpam-4586	601	9	1	1	NUM
ejpam-4586	601	10	2e0	2e0	NUM
ejpam-4586	601	11	,	,	PUNCT
ejpam-4586	601	12	ee1	ee1	NOUN
ejpam-4586	601	13	=	=	SYM
ejpam-4586	601	14	λe1	λe1	NOUN
ejpam-4586	601	15	,	,	PUNCT
ejpam-4586	601	16	ee2	ee2	NOUN
ejpam-4586	601	17	=	=	SYM
ejpam-4586	601	18	λe2	λe2	PROPN
ejpam-4586	601	19	,	,	PUNCT
ejpam-4586	601	20	e22	e22	PROPN
ejpam-4586	601	21	=	=	SYM
ejpam-4586	601	22	e0	e0	PROPN
ejpam-4586	601	23	,	,	PUNCT
ejpam-4586	601	24	e1e2	e1e2	X
ejpam-4586	601	25	=	=	SYM
ejpam-4586	601	26	e0	e0	PROPN
ejpam-4586	601	27	,	,	PUNCT
ejpam-4586	601	28	e0e1	e0e1	NOUN
ejpam-4586	601	29	=	=	SYM
ejpam-4586	601	30	αe0	αe0	NOUN
ejpam-4586	601	31	+	+	CCONJ
ejpam-4586	601	32	βe2	βe2	PROPN
ejpam-4586	601	33	,	,	PUNCT
ejpam-4586	601	34	e0e2	e0e2	NOUN
ejpam-4586	601	35	=	=	SYM
ejpam-4586	601	36	e0	e0	PROPN
ejpam-4586	601	37	.	.	PUNCT
ejpam-4586	602	1	for	for	ADP
ejpam-4586	602	2	α	α	PRON
ejpam-4586	602	3	,	,	PUNCT
ejpam-4586	602	4	α′	α′	NUM
ejpam-4586	602	5	,	,	PUNCT
ejpam-4586	602	6	β	β	X
ejpam-4586	602	7	and	and	CCONJ
ejpam-4586	602	8	β′	β′	NUM
ejpam-4586	602	9	in	in	ADP
ejpam-4586	602	10	k⋆	k⋆	NOUN
ejpam-4586	602	11	,	,	PUNCT
ejpam-4586	602	12	a(β	a(β	NOUN
ejpam-4586	602	13	)	)	PUNCT
ejpam-4586	602	14	and	and	CCONJ
ejpam-4586	602	15	a(β′	a(β′	PROPN
ejpam-4586	602	16	)	)	PUNCT
ejpam-4586	602	17	are	be	AUX
ejpam-4586	602	18	isomorph	isomorph	NOUN
ejpam-4586	602	19	if	if	SCONJ
ejpam-4586	603	1	and	and	CCONJ
ejpam-4586	603	2	only	only	ADV
ejpam-4586	603	3	if	if	SCONJ
ejpam-4586	603	4	it	it	PRON
ejpam-4586	603	5	exist	exist	VERB
ejpam-4586	603	6	k	k	PROPN
ejpam-4586	603	7	∈	∈	PROPN
ejpam-4586	603	8	k⋆	k⋆	NOUN
ejpam-4586	604	1	such	such	ADJ
ejpam-4586	604	2	that	that	SCONJ
ejpam-4586	604	3	β′	β′	NUM
ejpam-4586	604	4	=	=	SYM
ejpam-4586	604	5	k2β	k2β	PROPN
ejpam-4586	604	6	,	,	PUNCT
ejpam-4586	604	7	so	so	ADV
ejpam-4586	604	8	β′β−1	β′β−1	SYM
ejpam-4586	604	9	∈	∈	PROPN
ejpam-4586	604	10	(	(	PUNCT
ejpam-4586	604	11	k⋆)2	k⋆)2	PROPN
ejpam-4586	604	12	.	.	PROPN
ejpam-4586	604	13	12	12	NUM
ejpam-4586	604	14	)	)	PUNCT
ejpam-4586	604	15	e2	e2	NOUN
ejpam-4586	604	16	=	=	SYM
ejpam-4586	604	17	e	e	PROPN
ejpam-4586	604	18	,	,	PUNCT
ejpam-4586	604	19	ee0	ee0	X
ejpam-4586	604	20	=	=	PUNCT
ejpam-4586	604	21	1	1	NUM
ejpam-4586	604	22	2e0	2e0	NUM
ejpam-4586	604	23	,	,	PUNCT
ejpam-4586	604	24	ee1	ee1	NOUN
ejpam-4586	604	25	=	=	SYM
ejpam-4586	604	26	λe1	λe1	NOUN
ejpam-4586	604	27	,	,	PUNCT
ejpam-4586	604	28	ee2	ee2	NOUN
ejpam-4586	604	29	=	=	SYM
ejpam-4586	604	30	λe2	λe2	PROPN
ejpam-4586	604	31	,	,	PUNCT
ejpam-4586	604	32	e0e1	e0e1	NOUN
ejpam-4586	604	33	=	=	PROPN
ejpam-4586	604	34	e2	e2	PROPN
ejpam-4586	604	35	,	,	PUNCT
ejpam-4586	604	36	e0e2	e0e2	NOUN
ejpam-4586	604	37	=	=	SYM
ejpam-4586	604	38	e0	e0	PROPN
ejpam-4586	604	39	.	.	PUNCT
ejpam-4586	604	40	13	13	NUM
ejpam-4586	604	41	)	)	PUNCT
ejpam-4586	604	42	e2	e2	NOUN
ejpam-4586	604	43	=	=	SYM
ejpam-4586	604	44	e	e	PROPN
ejpam-4586	604	45	,	,	PUNCT
ejpam-4586	604	46	ee0	ee0	X
ejpam-4586	604	47	=	=	PUNCT
ejpam-4586	604	48	1	1	NUM
ejpam-4586	604	49	2e0	2e0	NUM
ejpam-4586	604	50	,	,	PUNCT
ejpam-4586	604	51	ee1	ee1	NOUN
ejpam-4586	604	52	=	=	SYM
ejpam-4586	604	53	λe1	λe1	NOUN
ejpam-4586	604	54	,	,	PUNCT
ejpam-4586	604	55	ee2	ee2	NOUN
ejpam-4586	604	56	=	=	SYM
ejpam-4586	604	57	λe2	λe2	PROPN
ejpam-4586	604	58	,	,	PUNCT
ejpam-4586	604	59	e22	e22	PROPN
ejpam-4586	604	60	=	=	SYM
ejpam-4586	604	61	e0	e0	PROPN
ejpam-4586	604	62	,	,	PUNCT
ejpam-4586	604	63	e0e1	e0e1	PROPN
ejpam-4586	604	64	=	=	PROPN
ejpam-4586	604	65	e2	e2	PROPN
ejpam-4586	604	66	,	,	PUNCT
ejpam-4586	604	67	e0e2	e0e2	NOUN
ejpam-4586	604	68	=	=	SYM
ejpam-4586	604	69	e0	e0	PROPN
ejpam-4586	604	70	.	.	PUNCT
ejpam-4586	605	1	14	14	NUM
ejpam-4586	605	2	)	)	PUNCT
ejpam-4586	605	3	e2	e2	NOUN
ejpam-4586	605	4	=	=	SYM
ejpam-4586	605	5	e	e	PROPN
ejpam-4586	605	6	,	,	PUNCT
ejpam-4586	605	7	ee0	ee0	X
ejpam-4586	605	8	=	=	PUNCT
ejpam-4586	605	9	1	1	NUM
ejpam-4586	605	10	2e0	2e0	NUM
ejpam-4586	605	11	,	,	PUNCT
ejpam-4586	605	12	ee1	ee1	NOUN
ejpam-4586	605	13	=	=	SYM
ejpam-4586	605	14	λe1	λe1	NOUN
ejpam-4586	605	15	,	,	PUNCT
ejpam-4586	605	16	ee2	ee2	NOUN
ejpam-4586	605	17	=	=	SYM
ejpam-4586	605	18	λe2	λe2	PROPN
ejpam-4586	605	19	,	,	PUNCT
ejpam-4586	605	20	e1e2	e1e2	X
ejpam-4586	605	21	=	=	SYM
ejpam-4586	605	22	αe0	αe0	PROPN
ejpam-4586	605	23	,	,	PUNCT
ejpam-4586	605	24	e0e1	e0e1	NOUN
ejpam-4586	605	25	=	=	PROPN
ejpam-4586	605	26	e2	e2	PROPN
ejpam-4586	605	27	,	,	PUNCT
ejpam-4586	605	28	e0e2	e0e2	NOUN
ejpam-4586	605	29	=	=	SYM
ejpam-4586	605	30	e0	e0	PROPN
ejpam-4586	605	31	.	.	PUNCT
ejpam-4586	606	1	for	for	ADP
ejpam-4586	606	2	α	α	NOUN
ejpam-4586	606	3	and	and	CCONJ
ejpam-4586	606	4	α′	α′	PROPN
ejpam-4586	606	5	in	in	ADP
ejpam-4586	606	6	k⋆	k⋆	PROPN
ejpam-4586	606	7	,	,	PUNCT
ejpam-4586	606	8	a(α	a(α	ADV
ejpam-4586	606	9	)	)	PUNCT
ejpam-4586	606	10	and	and	CCONJ
ejpam-4586	606	11	a(α′	a(α′	PROPN
ejpam-4586	606	12	)	)	PUNCT
ejpam-4586	606	13	are	be	AUX
ejpam-4586	606	14	isomorph	isomorph	NOUN
ejpam-4586	606	15	if	if	SCONJ
ejpam-4586	607	1	and	and	CCONJ
ejpam-4586	607	2	only	only	ADV
ejpam-4586	607	3	if	if	SCONJ
ejpam-4586	607	4	it	it	PRON
ejpam-4586	607	5	exist	exist	VERB
ejpam-4586	607	6	k	k	PROPN
ejpam-4586	607	7	∈	∈	PROPN
ejpam-4586	607	8	k⋆	k⋆	NOUN
ejpam-4586	608	1	such	such	ADJ
ejpam-4586	608	2	that	that	SCONJ
ejpam-4586	608	3	α′	α′	NUM
ejpam-4586	608	4	=	=	SYM
ejpam-4586	608	5	k2α	k2α	NOUN
ejpam-4586	608	6	,	,	PUNCT
ejpam-4586	608	7	so	so	SCONJ
ejpam-4586	608	8	α′α−1	α′α−1	PROPN
ejpam-4586	608	9	∈	∈	PROPN
ejpam-4586	608	10	(	(	PUNCT
ejpam-4586	608	11	k⋆)2	k⋆)2	PROPN
ejpam-4586	608	12	.	.	NOUN
ejpam-4586	608	13	15	15	NUM
ejpam-4586	608	14	)	)	PUNCT
ejpam-4586	608	15	e2	e2	NOUN
ejpam-4586	608	16	=	=	SYM
ejpam-4586	608	17	e	e	PROPN
ejpam-4586	608	18	,	,	PUNCT
ejpam-4586	608	19	ee0	ee0	X
ejpam-4586	608	20	=	=	PUNCT
ejpam-4586	608	21	1	1	NUM
ejpam-4586	608	22	2e0	2e0	NUM
ejpam-4586	608	23	,	,	PUNCT
ejpam-4586	608	24	ee1	ee1	NOUN
ejpam-4586	609	1	=	=	SYM
ejpam-4586	609	2	λe1	λe1	NOUN
ejpam-4586	609	3	,	,	PUNCT
ejpam-4586	609	4	ee2	ee2	NOUN
ejpam-4586	609	5	=	=	SYM
ejpam-4586	609	6	λe2	λe2	PROPN
ejpam-4586	609	7	,	,	PUNCT
ejpam-4586	609	8	e22	e22	PROPN
ejpam-4586	609	9	=	=	SYM
ejpam-4586	609	10	e0	e0	PROPN
ejpam-4586	609	11	,	,	PUNCT
ejpam-4586	609	12	e1e2	e1e2	X
ejpam-4586	609	13	=	=	SYM
ejpam-4586	609	14	αe0	αe0	PROPN
ejpam-4586	609	15	,	,	PUNCT
ejpam-4586	609	16	e0e1	e0e1	NOUN
ejpam-4586	609	17	=	=	PROPN
ejpam-4586	609	18	e2	e2	PROPN
ejpam-4586	609	19	,	,	PUNCT
ejpam-4586	609	20	e0e2	e0e2	NOUN
ejpam-4586	609	21	=	=	SYM
ejpam-4586	609	22	e0	e0	PROPN
ejpam-4586	609	23	.	.	PUNCT
ejpam-4586	610	1	for	for	ADP
ejpam-4586	610	2	α	α	NOUN
ejpam-4586	610	3	and	and	CCONJ
ejpam-4586	610	4	α′	α′	PROPN
ejpam-4586	610	5	in	in	ADP
ejpam-4586	610	6	k⋆	k⋆	PROPN
ejpam-4586	610	7	,	,	PUNCT
ejpam-4586	610	8	a(α	a(α	ADV
ejpam-4586	610	9	)	)	PUNCT
ejpam-4586	610	10	and	and	CCONJ
ejpam-4586	610	11	a(α′	a(α′	PROPN
ejpam-4586	610	12	)	)	PUNCT
ejpam-4586	610	13	are	be	AUX
ejpam-4586	610	14	isomorph	isomorph	NOUN
ejpam-4586	610	15	if	if	SCONJ
ejpam-4586	611	1	and	and	CCONJ
ejpam-4586	611	2	only	only	ADV
ejpam-4586	611	3	if	if	SCONJ
ejpam-4586	611	4	α′	α′	NUM
ejpam-4586	611	5	=	=	SYM
ejpam-4586	611	6	α	α	X
ejpam-4586	611	7	.	.	PUNCT
ejpam-4586	612	1	references	reference	NOUN
ejpam-4586	612	2	1906	1906	NUM
ejpam-4586	612	3	16	16	NUM
ejpam-4586	612	4	)	)	PUNCT
ejpam-4586	612	5	e2	e2	NOUN
ejpam-4586	612	6	=	=	SYM
ejpam-4586	612	7	e	e	PROPN
ejpam-4586	612	8	,	,	PUNCT
ejpam-4586	612	9	ee0	ee0	X
ejpam-4586	613	1	=	=	PUNCT
ejpam-4586	613	2	1	1	NUM
ejpam-4586	613	3	2e0	2e0	NUM
ejpam-4586	613	4	,	,	PUNCT
ejpam-4586	613	5	ee1	ee1	NOUN
ejpam-4586	614	1	=	=	SYM
ejpam-4586	614	2	λe1	λe1	NOUN
ejpam-4586	614	3	,	,	PUNCT
ejpam-4586	614	4	ee2	ee2	NOUN
ejpam-4586	614	5	=	=	SYM
ejpam-4586	614	6	λe2	λe2	PROPN
ejpam-4586	614	7	,	,	PUNCT
ejpam-4586	614	8	e0e1	e0e1	NOUN
ejpam-4586	614	9	=	=	PROPN
ejpam-4586	614	10	e2	e2	PROPN
ejpam-4586	614	11	,	,	PUNCT
ejpam-4586	614	12	e0e2	e0e2	NOUN
ejpam-4586	614	13	=	=	SYM
ejpam-4586	614	14	e1	e1	NOUN
ejpam-4586	614	15	.	.	NOUN
ejpam-4586	614	16	17	17	NUM
ejpam-4586	614	17	)	)	PUNCT
ejpam-4586	614	18	e2	e2	NOUN
ejpam-4586	614	19	=	=	SYM
ejpam-4586	614	20	e	e	PROPN
ejpam-4586	614	21	,	,	PUNCT
ejpam-4586	614	22	ee0	ee0	X
ejpam-4586	614	23	=	=	PUNCT
ejpam-4586	614	24	1	1	NUM
ejpam-4586	614	25	2e0	2e0	NUM
ejpam-4586	614	26	,	,	PUNCT
ejpam-4586	614	27	ee1	ee1	NOUN
ejpam-4586	615	1	=	=	SYM
ejpam-4586	615	2	λe1	λe1	NOUN
ejpam-4586	615	3	,	,	PUNCT
ejpam-4586	615	4	ee2	ee2	NOUN
ejpam-4586	615	5	=	=	SYM
ejpam-4586	615	6	λe2	λe2	PROPN
ejpam-4586	615	7	,	,	PUNCT
ejpam-4586	615	8	e1e2	e1e2	X
ejpam-4586	615	9	=	=	SYM
ejpam-4586	615	10	αe0	αe0	PROPN
ejpam-4586	615	11	,	,	PUNCT
ejpam-4586	615	12	e0e1	e0e1	NOUN
ejpam-4586	615	13	=	=	PROPN
ejpam-4586	615	14	e2	e2	PROPN
ejpam-4586	615	15	,	,	PUNCT
ejpam-4586	615	16	e0e2	e0e2	NOUN
ejpam-4586	615	17	=	=	SYM
ejpam-4586	615	18	e1	e1	NOUN
ejpam-4586	615	19	.	.	PUNCT
ejpam-4586	616	1	for	for	ADP
ejpam-4586	616	2	α	α	NOUN
ejpam-4586	616	3	and	and	CCONJ
ejpam-4586	616	4	α′	α′	PROPN
ejpam-4586	616	5	in	in	ADP
ejpam-4586	616	6	k⋆	k⋆	PROPN
ejpam-4586	616	7	,	,	PUNCT
ejpam-4586	616	8	a(α	a(α	ADV
ejpam-4586	616	9	)	)	PUNCT
ejpam-4586	616	10	and	and	CCONJ
ejpam-4586	616	11	a(α′	a(α′	PROPN
ejpam-4586	616	12	)	)	PUNCT
ejpam-4586	616	13	are	be	AUX
ejpam-4586	616	14	isomorph	isomorph	NOUN
ejpam-4586	616	15	if	if	SCONJ
ejpam-4586	617	1	and	and	CCONJ
ejpam-4586	617	2	only	only	ADV
ejpam-4586	617	3	if	if	SCONJ
ejpam-4586	617	4	it	it	PRON
ejpam-4586	617	5	exist	exist	VERB
ejpam-4586	617	6	k	k	PROPN
ejpam-4586	617	7	∈	∈	PROPN
ejpam-4586	617	8	k⋆	k⋆	NOUN
ejpam-4586	618	1	such	such	ADJ
ejpam-4586	618	2	that	that	SCONJ
ejpam-4586	618	3	α′	α′	NUM
ejpam-4586	618	4	=	=	SYM
ejpam-4586	618	5	k2α	k2α	NOUN
ejpam-4586	618	6	,	,	PUNCT
ejpam-4586	618	7	so	so	SCONJ
ejpam-4586	618	8	α′α−1	α′α−1	PROPN
ejpam-4586	618	9	∈	∈	PROPN
ejpam-4586	618	10	(	(	PUNCT
ejpam-4586	618	11	k⋆)2	k⋆)2	PROPN
ejpam-4586	618	12	.	.	PROPN
ejpam-4586	618	13	18	18	NUM
ejpam-4586	618	14	)	)	PUNCT
ejpam-4586	618	15	e2	e2	NOUN
ejpam-4586	618	16	=	=	SYM
ejpam-4586	618	17	e	e	PROPN
ejpam-4586	618	18	,	,	PUNCT
ejpam-4586	618	19	ee0	ee0	X
ejpam-4586	618	20	=	=	PUNCT
ejpam-4586	618	21	1	1	NUM
ejpam-4586	618	22	2e0	2e0	NUM
ejpam-4586	618	23	,	,	PUNCT
ejpam-4586	618	24	ee1	ee1	NOUN
ejpam-4586	619	1	=	=	SYM
ejpam-4586	619	2	λe1	λe1	NOUN
ejpam-4586	619	3	,	,	PUNCT
ejpam-4586	619	4	ee2	ee2	NOUN
ejpam-4586	619	5	=	=	SYM
ejpam-4586	619	6	λe2	λe2	PROPN
ejpam-4586	619	7	,	,	PUNCT
ejpam-4586	619	8	e0e1	e0e1	NOUN
ejpam-4586	619	9	=	=	SYM
ejpam-4586	619	10	αe0	αe0	NOUN
ejpam-4586	619	11	+	+	CCONJ
ejpam-4586	619	12	βe2	βe2	PROPN
ejpam-4586	619	13	,	,	PUNCT
ejpam-4586	619	14	e0e2	e0e2	NOUN
ejpam-4586	619	15	=	=	SYM
ejpam-4586	619	16	e1	e1	NOUN
ejpam-4586	619	17	.	.	PUNCT
ejpam-4586	620	1	for	for	ADP
ejpam-4586	620	2	α	α	NOUN
ejpam-4586	620	3	,	,	PUNCT
ejpam-4586	620	4	α′	α′	NUM
ejpam-4586	620	5	,	,	PUNCT
ejpam-4586	620	6	β	β	X
ejpam-4586	620	7	and	and	CCONJ
ejpam-4586	620	8	β′	β′	NUM
ejpam-4586	620	9	in	in	ADP
ejpam-4586	620	10	k⋆	k⋆	NOUN
ejpam-4586	620	11	,	,	PUNCT
ejpam-4586	620	12	a(β	a(β	NOUN
ejpam-4586	620	13	)	)	PUNCT
ejpam-4586	620	14	and	and	CCONJ
ejpam-4586	620	15	a(β′	a(β′	PROPN
ejpam-4586	620	16	)	)	PUNCT
ejpam-4586	620	17	are	be	AUX
ejpam-4586	620	18	isomorph	isomorph	NOUN
ejpam-4586	620	19	if	if	SCONJ
ejpam-4586	621	1	and	and	CCONJ
ejpam-4586	621	2	only	only	ADV
ejpam-4586	621	3	if	if	SCONJ
ejpam-4586	621	4	it	it	PRON
ejpam-4586	621	5	exist	exist	VERB
ejpam-4586	621	6	k	k	PROPN
ejpam-4586	621	7	∈	∈	PROPN
ejpam-4586	621	8	k⋆	k⋆	NOUN
ejpam-4586	622	1	such	such	ADJ
ejpam-4586	622	2	that	that	SCONJ
ejpam-4586	622	3	β′	β′	NUM
ejpam-4586	622	4	=	=	SYM
ejpam-4586	622	5	k2β	k2β	PROPN
ejpam-4586	622	6	,	,	PUNCT
ejpam-4586	622	7	so	so	ADV
ejpam-4586	622	8	β′β−1	β′β−1	SYM
ejpam-4586	622	9	∈	∈	PROPN
ejpam-4586	622	10	(	(	PUNCT
ejpam-4586	622	11	k⋆)2	k⋆)2	PROPN
ejpam-4586	622	12	.	.	PROPN
ejpam-4586	622	13	19	19	NUM
ejpam-4586	622	14	)	)	PUNCT
ejpam-4586	622	15	e2	e2	NOUN
ejpam-4586	622	16	=	=	SYM
ejpam-4586	622	17	e	e	PROPN
ejpam-4586	622	18	,	,	PUNCT
ejpam-4586	622	19	ee0	ee0	X
ejpam-4586	622	20	=	=	PUNCT
ejpam-4586	622	21	1	1	NUM
ejpam-4586	622	22	2e0	2e0	NUM
ejpam-4586	622	23	,	,	PUNCT
ejpam-4586	622	24	ee1	ee1	NOUN
ejpam-4586	623	1	=	=	SYM
ejpam-4586	623	2	λe1	λe1	NOUN
ejpam-4586	623	3	,	,	PUNCT
ejpam-4586	623	4	ee2	ee2	NOUN
ejpam-4586	623	5	=	=	SYM
ejpam-4586	623	6	λe2	λe2	PROPN
ejpam-4586	623	7	,	,	PUNCT
ejpam-4586	623	8	e0e1	e0e1	NOUN
ejpam-4586	623	9	=	=	PROPN
ejpam-4586	623	10	e2	e2	PROPN
ejpam-4586	623	11	,	,	PUNCT
ejpam-4586	623	12	e0e2	e0e2	NOUN
ejpam-4586	623	13	=	=	SYM
ejpam-4586	623	14	αe0	αe0	NOUN
ejpam-4586	623	15	+	+	CCONJ
ejpam-4586	623	16	βe1	βe1	NOUN
ejpam-4586	623	17	.	.	PUNCT
ejpam-4586	624	1	for	for	ADP
ejpam-4586	624	2	α	α	NOUN
ejpam-4586	624	3	,	,	PUNCT
ejpam-4586	624	4	α′	α′	NUM
ejpam-4586	624	5	,	,	PUNCT
ejpam-4586	624	6	β	β	X
ejpam-4586	624	7	and	and	CCONJ
ejpam-4586	624	8	β′	β′	NUM
ejpam-4586	624	9	in	in	ADP
ejpam-4586	624	10	k⋆	k⋆	NOUN
ejpam-4586	624	11	,	,	PUNCT
ejpam-4586	624	12	a(β	a(β	NOUN
ejpam-4586	624	13	)	)	PUNCT
ejpam-4586	624	14	and	and	CCONJ
ejpam-4586	624	15	a(β′	a(β′	PROPN
ejpam-4586	624	16	)	)	PUNCT
ejpam-4586	624	17	are	be	AUX
ejpam-4586	624	18	isomorph	isomorph	NOUN
ejpam-4586	624	19	if	if	SCONJ
ejpam-4586	625	1	and	and	CCONJ
ejpam-4586	625	2	only	only	ADV
ejpam-4586	625	3	if	if	SCONJ
ejpam-4586	625	4	it	it	PRON
ejpam-4586	625	5	exist	exist	VERB
ejpam-4586	625	6	k	k	PROPN
ejpam-4586	625	7	∈	∈	PROPN
ejpam-4586	625	8	k⋆	k⋆	NOUN
ejpam-4586	625	9	such	such	ADJ
ejpam-4586	625	10	that	that	SCONJ
ejpam-4586	625	11	β′	β′	NUM
ejpam-4586	625	12	=	=	SYM
ejpam-4586	625	13	k2β	k2β	PROPN
ejpam-4586	625	14	,	,	PUNCT
ejpam-4586	625	15	so	so	ADV
ejpam-4586	625	16	β′β−1	β′β−1	SYM
ejpam-4586	625	17	∈	∈	PROPN
ejpam-4586	625	18	(	(	PUNCT
ejpam-4586	625	19	k⋆)2	k⋆)2	PROPN
ejpam-4586	625	20	.	.	PROPN
ejpam-4586	625	21	5	5	NUM
ejpam-4586	625	22	.	.	X
ejpam-4586	625	23	classification	classification	NOUN
ejpam-4586	625	24	of	of	ADP
ejpam-4586	625	25	algebras	algebra	NOUN
ejpam-4586	625	26	of	of	ADP
ejpam-4586	625	27	type	type	NOUN
ejpam-4586	625	28	(	(	PUNCT
ejpam-4586	625	29	2	2	NUM
ejpam-4586	625	30	,	,	PUNCT
ejpam-4586	625	31	1	1	NUM
ejpam-4586	625	32	,	,	PUNCT
ejpam-4586	625	33	0	0	NUM
ejpam-4586	625	34	,	,	PUNCT
ejpam-4586	625	35	1	1	NUM
ejpam-4586	625	36	)	)	PUNCT
ejpam-4586	625	37	the	the	DET
ejpam-4586	625	38	type	type	NOUN
ejpam-4586	625	39	of	of	ADP
ejpam-4586	625	40	a	a	DET
ejpam-4586	625	41	being	being	NOUN
ejpam-4586	625	42	(	(	PUNCT
ejpam-4586	625	43	2	2	NUM
ejpam-4586	625	44	,	,	PUNCT
ejpam-4586	625	45	1	1	NUM
ejpam-4586	625	46	,	,	PUNCT
ejpam-4586	625	47	0	0	NUM
ejpam-4586	625	48	,	,	PUNCT
ejpam-4586	625	49	1	1	NUM
ejpam-4586	625	50	)	)	PUNCT
ejpam-4586	625	51	then	then	ADV
ejpam-4586	625	52	aλ	aλ	ADP
ejpam-4586	625	53	=	=	SYM
ejpam-4586	625	54	0	0	PUNCT
ejpam-4586	626	1	and	and	CCONJ
ejpam-4586	626	2	we	we	PRON
ejpam-4586	626	3	have	have	VERB
ejpam-4586	626	4	:	:	PUNCT
ejpam-4586	626	5	a2	a2	PROPN
ejpam-4586	626	6	1/2	1/2	NUM
ejpam-4586	626	7	⊂	⊂	PROPN
ejpam-4586	626	8	a0	a0	PROPN
ejpam-4586	626	9	⊕	⊕	PROPN
ejpam-4586	626	10	aλ	aλ	PROPN
ejpam-4586	626	11	,	,	PUNCT
ejpam-4586	626	12	a2	a2	PROPN
ejpam-4586	626	13	0	0	PROPN
ejpam-4586	627	1	⊂	⊂	PROPN
ejpam-4586	627	2	a1/2	a1/2	PROPN
ejpam-4586	627	3	⊕	⊕	PROPN
ejpam-4586	627	4	a0	a0	PROPN
ejpam-4586	627	5	,	,	PUNCT
ejpam-4586	627	6	a2	a2	PROPN
ejpam-4586	627	7	λ	λ	PROPN
ejpam-4586	627	8	⊂	⊂	PROPN
ejpam-4586	627	9	a1/2	a1/2	PROPN
ejpam-4586	627	10	,	,	PUNCT
ejpam-4586	627	11	a1/2a0	a1/2a0	PROPN
ejpam-4586	627	12	⊂	⊂	PROPN
ejpam-4586	627	13	a0	a0	PROPN
ejpam-4586	627	14	⊕	⊕	PROPN
ejpam-4586	627	15	aλ	aλ	PROPN
ejpam-4586	627	16	,	,	PUNCT
ejpam-4586	627	17	a1/2aλ	a1/2aλ	PROPN
ejpam-4586	627	18	⊂	⊂	PROPN
ejpam-4586	627	19	a1/2	a1/2	PROPN
ejpam-4586	627	20	⊕	⊕	PROPN
ejpam-4586	627	21	a0	a0	PROPN
ejpam-4586	627	22	,	,	PUNCT
ejpam-4586	627	23	a0aλ	a0aλ	PUNCT
ejpam-4586	627	24	⊂	⊂	PROPN
ejpam-4586	627	25	a1/2	a1/2	VERB
ejpam-4586	627	26	.	.	PUNCT
ejpam-4586	628	1	in	in	ADP
ejpam-4586	628	2	this	this	DET
ejpam-4586	628	3	way	way	NOUN
ejpam-4586	628	4	,	,	PUNCT
ejpam-4586	628	5	it	it	PRON
ejpam-4586	628	6	is	be	AUX
ejpam-4586	628	7	possible	possible	ADJ
ejpam-4586	628	8	to	to	PART
ejpam-4586	628	9	set	set	VERB
ejpam-4586	628	10	a1/2	a1/2	PROPN
ejpam-4586	628	11	=	=	NOUN
ejpam-4586	628	12	<	<	X
ejpam-4586	628	13	e0	e0	PROPN
ejpam-4586	628	14	>	>	X
ejpam-4586	628	15	,	,	PUNCT
ejpam-4586	628	16	a0	a0	PROPN
ejpam-4586	628	17	=	=	PROPN
ejpam-4586	628	18	<	<	X
ejpam-4586	628	19	e1	e1	PROPN
ejpam-4586	628	20	>	>	PUNCT
ejpam-4586	628	21	,	,	PUNCT
ejpam-4586	628	22	aλ	aλ	ADP
ejpam-4586	628	23	<	<	X
ejpam-4586	628	24	e2	e2	PROPN
ejpam-4586	628	25	>	>	X
ejpam-4586	628	26	and	and	CCONJ
ejpam-4586	628	27	the	the	DET
ejpam-4586	628	28	multiplication	multiplication	NOUN
ejpam-4586	628	29	table	table	NOUN
ejpam-4586	628	30	of	of	ADP
ejpam-4586	628	31	a	a	PRON
ejpam-4586	628	32	is	be	AUX
ejpam-4586	628	33	:	:	PUNCT
ejpam-4586	629	1	e2	e2	PROPN
ejpam-4586	629	2	=	=	SYM
ejpam-4586	629	3	e	e	PROPN
ejpam-4586	629	4	,	,	PUNCT
ejpam-4586	629	5	ee0	ee0	X
ejpam-4586	629	6	=	=	PUNCT
ejpam-4586	629	7	1	1	NUM
ejpam-4586	629	8	2e0	2e0	NUM
ejpam-4586	629	9	,	,	PUNCT
ejpam-4586	629	10	ee1	ee1	X
ejpam-4586	629	11	=	=	SYM
ejpam-4586	629	12	0	0	PROPN
ejpam-4586	629	13	,	,	PUNCT
ejpam-4586	629	14	ee2	ee2	NOUN
ejpam-4586	629	15	=	=	SYM
ejpam-4586	629	16	λe2	λe2	PROPN
ejpam-4586	629	17	;	;	PUNCT
ejpam-4586	629	18	e20	e20	NOUN
ejpam-4586	629	19	=	=	SYM
ejpam-4586	629	20	α0e1	α0e1	PROPN
ejpam-4586	629	21	+	+	NUM
ejpam-4586	629	22	α1e2	α1e2	PROPN
ejpam-4586	629	23	,	,	PUNCT
ejpam-4586	629	24	e21	e21	NUM
ejpam-4586	629	25	=	=	SYM
ejpam-4586	629	26	β0e0	β0e0	PUNCT
ejpam-4586	629	27	+	+	SYM
ejpam-4586	629	28	β1e1	β1e1	NOUN
ejpam-4586	629	29	,	,	PUNCT
ejpam-4586	629	30	e22	e22	PROPN
ejpam-4586	629	31	=	=	SYM
ejpam-4586	629	32	γe0	γe0	PROPN
ejpam-4586	629	33	,	,	PUNCT
ejpam-4586	629	34	e0e1	e0e1	NOUN
ejpam-4586	629	35	=	=	PUNCT
ejpam-4586	629	36	µ0e0	µ0e0	PUNCT
ejpam-4586	629	37	+	+	ADJ
ejpam-4586	629	38	µ1e2	µ1e2	SYM
ejpam-4586	629	39	,	,	PUNCT
ejpam-4586	629	40	e0e2	e0e2	NOUN
ejpam-4586	629	41	=	=	SYM
ejpam-4586	629	42	γ0e0	γ0e0	X
ejpam-4586	629	43	+	+	X
ejpam-4586	629	44	γ1e1	γ1e1	NOUN
ejpam-4586	629	45	,	,	PUNCT
ejpam-4586	629	46	e1e2	e1e2	X
ejpam-4586	629	47	=	=	SYM
ejpam-4586	629	48	µe0	µe0	ADJ
ejpam-4586	629	49	.	.	PUNCT
ejpam-4586	630	1	the	the	DET
ejpam-4586	630	2	reasoning	reasoning	NOUN
ejpam-4586	630	3	is	be	AUX
ejpam-4586	630	4	similar	similar	ADJ
ejpam-4586	630	5	to	to	ADP
ejpam-4586	630	6	that	that	PRON
ejpam-4586	630	7	of	of	ADP
ejpam-4586	630	8	the	the	DET
ejpam-4586	630	9	type	type	NOUN
ejpam-4586	630	10	(	(	PUNCT
ejpam-4586	630	11	2	2	NUM
ejpam-4586	630	12	,	,	PUNCT
ejpam-4586	630	13	1	1	NUM
ejpam-4586	630	14	,	,	PUNCT
ejpam-4586	630	15	1	1	NUM
ejpam-4586	630	16	,	,	PUNCT
ejpam-4586	630	17	0	0	NUM
ejpam-4586	630	18	)	)	PUNCT
ejpam-4586	630	19	.	.	PUNCT
ejpam-4586	631	1	this	this	PRON
ejpam-4586	631	2	allows	allow	VERB
ejpam-4586	631	3	us	we	PRON
ejpam-4586	631	4	to	to	PART
ejpam-4586	631	5	obtain	obtain	VERB
ejpam-4586	631	6	the	the	DET
ejpam-4586	631	7	algebras	algebra	NOUN
ejpam-4586	631	8	given	give	VERB
ejpam-4586	631	9	in	in	ADP
ejpam-4586	631	10	the	the	DET
ejpam-4586	631	11	proposition	proposition	NOUN
ejpam-4586	631	12	below	below	ADV
ejpam-4586	631	13	.	.	PUNCT
ejpam-4586	632	1	theorem	theorem	VERB
ejpam-4586	632	2	6	6	NUM
ejpam-4586	632	3	.	.	PUNCT
ejpam-4586	633	1	let	let	VERB
ejpam-4586	633	2	a	a	PRON
ejpam-4586	633	3	be	be	AUX
ejpam-4586	633	4	a	a	DET
ejpam-4586	633	5	train	train	NOUN
ejpam-4586	633	6	algebra	algebra	NOUN
ejpam-4586	633	7	of	of	ADP
ejpam-4586	633	8	degree	degree	NOUN
ejpam-4586	633	9	2	2	NUM
ejpam-4586	633	10	and	and	CCONJ
ejpam-4586	633	11	exponent	exponent	NOUN
ejpam-4586	633	12	4	4	NUM
ejpam-4586	633	13	.	.	PUNCT
ejpam-4586	634	1	if	if	SCONJ
ejpam-4586	634	2	the	the	DET
ejpam-4586	634	3	type	type	NOUN
ejpam-4586	634	4	of	of	ADP
ejpam-4586	634	5	a	a	PRON
ejpam-4586	634	6	is	be	AUX
ejpam-4586	634	7	(	(	PUNCT
ejpam-4586	634	8	2	2	NUM
ejpam-4586	634	9	,	,	PUNCT
ejpam-4586	634	10	1	1	NUM
ejpam-4586	634	11	,	,	PUNCT
ejpam-4586	634	12	0	0	NUM
ejpam-4586	634	13	,	,	PUNCT
ejpam-4586	634	14	1	1	NUM
ejpam-4586	634	15	)	)	PUNCT
ejpam-4586	634	16	then	then	ADV
ejpam-4586	634	17	we	we	PRON
ejpam-4586	634	18	have	have	VERB
ejpam-4586	634	19	the	the	DET
ejpam-4586	634	20	algebras	algebra	NOUN
ejpam-4586	634	21	whose	whose	DET
ejpam-4586	634	22	multiplication	multiplication	NOUN
ejpam-4586	634	23	table	table	NOUN
ejpam-4586	634	24	are	be	AUX
ejpam-4586	634	25	given	give	VERB
ejpam-4586	634	26	as	as	ADP
ejpam-4586	634	27	follows	follow	VERB
ejpam-4586	634	28	,	,	PUNCT
ejpam-4586	634	29	the	the	DET
ejpam-4586	634	30	products	product	NOUN
ejpam-4586	634	31	not	not	PART
ejpam-4586	634	32	mentioned	mention	VERB
ejpam-4586	634	33	being	be	AUX
ejpam-4586	634	34	zero	zero	NUM
ejpam-4586	634	35	.	.	PUNCT
ejpam-4586	635	1	if	if	SCONJ
ejpam-4586	635	2	one	one	NUM
ejpam-4586	635	3	or	or	CCONJ
ejpam-4586	635	4	both	both	DET
ejpam-4586	635	5	parameters	parameter	NOUN
ejpam-4586	635	6	α	α	X
ejpam-4586	635	7	and	and	CCONJ
ejpam-4586	635	8	β	β	PROPN
ejpam-4586	635	9	appear	appear	VERB
ejpam-4586	635	10	in	in	ADP
ejpam-4586	635	11	the	the	DET
ejpam-4586	635	12	multiplication	multiplication	NOUN
ejpam-4586	635	13	table	table	NOUN
ejpam-4586	635	14	,	,	PUNCT
ejpam-4586	635	15	the	the	DET
ejpam-4586	635	16	algebra	algebra	NOUN
ejpam-4586	635	17	will	will	AUX
ejpam-4586	635	18	be	be	AUX
ejpam-4586	635	19	denoted	denote	VERB
ejpam-4586	635	20	a(α	a(α	NOUN
ejpam-4586	635	21	)	)	PUNCT
ejpam-4586	635	22	or	or	CCONJ
ejpam-4586	635	23	a(α	a(α	NOUN
ejpam-4586	635	24	,	,	PUNCT
ejpam-4586	635	25	β	β	NOUN
ejpam-4586	635	26	)	)	PUNCT
ejpam-4586	635	27	.	.	PUNCT
ejpam-4586	636	1	1	1	NUM
ejpam-4586	636	2	◦	◦	NOUN
ejpam-4586	636	3	)	)	PUNCT
ejpam-4586	636	4	e2	e2	NOUN
ejpam-4586	636	5	=	=	SYM
ejpam-4586	636	6	e	e	PROPN
ejpam-4586	636	7	,	,	PUNCT
ejpam-4586	636	8	ee0	ee0	X
ejpam-4586	636	9	=	=	PUNCT
ejpam-4586	636	10	1	1	NUM
ejpam-4586	636	11	2e0	2e0	NUM
ejpam-4586	636	12	,	,	PUNCT
ejpam-4586	636	13	ee2	ee2	NOUN
ejpam-4586	636	14	=	=	SYM
ejpam-4586	636	15	λ̄e2	λ̄e2	NOUN
ejpam-4586	636	16	,	,	PUNCT
ejpam-4586	636	17	e0e1	e0e1	NOUN
ejpam-4586	636	18	=	=	PROPN
ejpam-4586	636	19	e2	e2	PROPN
ejpam-4586	636	20	,	,	PUNCT
ejpam-4586	636	21	e0e2	e0e2	NOUN
ejpam-4586	636	22	=	=	SYM
ejpam-4586	636	23	e0	e0	PROPN
ejpam-4586	636	24	.	.	PUNCT
ejpam-4586	637	1	2	2	NUM
ejpam-4586	637	2	◦	◦	NOUN
ejpam-4586	637	3	)	)	PUNCT
ejpam-4586	637	4	e2	e2	NOUN
ejpam-4586	637	5	=	=	SYM
ejpam-4586	637	6	e	e	PROPN
ejpam-4586	637	7	,	,	PUNCT
ejpam-4586	637	8	ee0	ee0	X
ejpam-4586	637	9	=	=	PUNCT
ejpam-4586	637	10	1	1	NUM
ejpam-4586	637	11	2e0	2e0	NUM
ejpam-4586	637	12	,	,	PUNCT
ejpam-4586	637	13	ee2	ee2	NOUN
ejpam-4586	637	14	=	=	SYM
ejpam-4586	637	15	λ̄e2	λ̄e2	NOUN
ejpam-4586	637	16	,	,	PUNCT
ejpam-4586	637	17	e0e1	e0e1	NOUN
ejpam-4586	637	18	=	=	SYM
ejpam-4586	637	19	αe0	αe0	NOUN
ejpam-4586	637	20	+	+	CCONJ
ejpam-4586	637	21	e2	e2	PROPN
ejpam-4586	637	22	,	,	PUNCT
ejpam-4586	637	23	e0e2	e0e2	NOUN
ejpam-4586	637	24	=	=	SYM
ejpam-4586	637	25	e0	e0	PROPN
ejpam-4586	637	26	.	.	PUNCT
ejpam-4586	638	1	3	3	NUM
ejpam-4586	638	2	◦	◦	NOUN
ejpam-4586	638	3	)	)	PUNCT
ejpam-4586	638	4	e2	e2	NOUN
ejpam-4586	638	5	=	=	SYM
ejpam-4586	638	6	e	e	PROPN
ejpam-4586	638	7	,	,	PUNCT
ejpam-4586	638	8	ee0	ee0	X
ejpam-4586	638	9	=	=	PUNCT
ejpam-4586	638	10	1	1	NUM
ejpam-4586	638	11	2e0	2e0	NUM
ejpam-4586	638	12	,	,	PUNCT
ejpam-4586	638	13	ee2	ee2	NOUN
ejpam-4586	638	14	=	=	SYM
ejpam-4586	638	15	λ̄e2	λ̄e2	NOUN
ejpam-4586	638	16	,	,	PUNCT
ejpam-4586	638	17	e0e1	e0e1	NOUN
ejpam-4586	638	18	=	=	PROPN
ejpam-4586	638	19	e2	e2	PROPN
ejpam-4586	638	20	,	,	PUNCT
ejpam-4586	638	21	e0e2	e0e2	NOUN
ejpam-4586	638	22	=	=	SYM
ejpam-4586	638	23	e0	e0	PROPN
ejpam-4586	638	24	,	,	PUNCT
ejpam-4586	638	25	e1e2	e1e2	X
ejpam-4586	638	26	=	=	SYM
ejpam-4586	638	27	αe0	αe0	PROPN
ejpam-4586	638	28	.	.	PUNCT
ejpam-4586	639	1	for	for	ADP
ejpam-4586	639	2	α	α	NOUN
ejpam-4586	639	3	and	and	CCONJ
ejpam-4586	639	4	α′	α′	PROPN
ejpam-4586	639	5	in	in	ADP
ejpam-4586	639	6	k⋆	k⋆	PROPN
ejpam-4586	639	7	,	,	PUNCT
ejpam-4586	639	8	a(α	a(α	ADV
ejpam-4586	639	9	)	)	PUNCT
ejpam-4586	639	10	and	and	CCONJ
ejpam-4586	639	11	a(α′	a(α′	PROPN
ejpam-4586	639	12	)	)	PUNCT
ejpam-4586	639	13	are	be	AUX
ejpam-4586	639	14	isomorph	isomorph	NOUN
ejpam-4586	639	15	if	if	SCONJ
ejpam-4586	640	1	and	and	CCONJ
ejpam-4586	640	2	only	only	ADV
ejpam-4586	640	3	if	if	SCONJ
ejpam-4586	640	4	it	it	PRON
ejpam-4586	640	5	exist	exist	VERB
ejpam-4586	640	6	k	k	PROPN
ejpam-4586	640	7	∈	∈	PROPN
ejpam-4586	640	8	k⋆	k⋆	NOUN
ejpam-4586	641	1	such	such	ADJ
ejpam-4586	641	2	that	that	SCONJ
ejpam-4586	641	3	α′	α′	NUM
ejpam-4586	641	4	=	=	SYM
ejpam-4586	641	5	k2α	k2α	NOUN
ejpam-4586	641	6	,	,	PUNCT
ejpam-4586	641	7	so	so	SCONJ
ejpam-4586	641	8	α′α−1	α′α−1	PROPN
ejpam-4586	641	9	∈	∈	PROPN
ejpam-4586	641	10	(	(	PUNCT
ejpam-4586	641	11	k⋆)2	k⋆)2	PROPN
ejpam-4586	641	12	.	.	NOUN
ejpam-4586	641	13	4	4	NUM
ejpam-4586	641	14	◦	◦	NOUN
ejpam-4586	641	15	)	)	PUNCT
ejpam-4586	641	16	e2	e2	NOUN
ejpam-4586	641	17	=	=	SYM
ejpam-4586	641	18	e	e	PROPN
ejpam-4586	641	19	,	,	PUNCT
ejpam-4586	641	20	ee0	ee0	X
ejpam-4586	641	21	=	=	PUNCT
ejpam-4586	641	22	1	1	NUM
ejpam-4586	641	23	2e0	2e0	NUM
ejpam-4586	641	24	,	,	PUNCT
ejpam-4586	641	25	ee2	ee2	NOUN
ejpam-4586	642	1	=	=	PUNCT
ejpam-4586	642	2	λ̄e2	λ̄e2	X
ejpam-4586	642	3	e0e1	e0e1	X
ejpam-4586	643	1	=	=	SYM
ejpam-4586	643	2	αe0	αe0	NOUN
ejpam-4586	643	3	+	+	CCONJ
ejpam-4586	643	4	e2	e2	PROPN
ejpam-4586	643	5	,	,	PUNCT
ejpam-4586	643	6	e0e2	e0e2	NOUN
ejpam-4586	643	7	=	=	SYM
ejpam-4586	643	8	e0	e0	PROPN
ejpam-4586	643	9	,	,	PUNCT
ejpam-4586	643	10	e1e2	e1e2	X
ejpam-4586	643	11	=	=	SYM
ejpam-4586	643	12	βe0	βe0	PROPN
ejpam-4586	643	13	.	.	PUNCT
ejpam-4586	644	1	for	for	ADP
ejpam-4586	644	2	α	α	NOUN
ejpam-4586	644	3	,	,	PUNCT
ejpam-4586	644	4	α′	α′	NUM
ejpam-4586	644	5	,	,	PUNCT
ejpam-4586	644	6	β	β	X
ejpam-4586	644	7	,	,	PUNCT
ejpam-4586	644	8	β′	β′	NUM
ejpam-4586	644	9	in	in	ADP
ejpam-4586	644	10	k⋆	k⋆	PROPN
ejpam-4586	644	11	,	,	PUNCT
ejpam-4586	644	12	a(α	a(α	VERB
ejpam-4586	644	13	,	,	PUNCT
ejpam-4586	644	14	β	β	NOUN
ejpam-4586	644	15	)	)	PUNCT
ejpam-4586	644	16	and	and	CCONJ
ejpam-4586	644	17	a(α′	a(α′	PROPN
ejpam-4586	644	18	,	,	PUNCT
ejpam-4586	644	19	β′	β′	NUM
ejpam-4586	644	20	)	)	PUNCT
ejpam-4586	644	21	are	be	AUX
ejpam-4586	644	22	isomorph	isomorph	NOUN
ejpam-4586	644	23	if	if	SCONJ
ejpam-4586	645	1	and	and	CCONJ
ejpam-4586	645	2	only	only	ADV
ejpam-4586	645	3	if	if	SCONJ
ejpam-4586	645	4	it	it	PRON
ejpam-4586	645	5	exist	exist	VERB
ejpam-4586	645	6	k	k	PROPN
ejpam-4586	645	7	∈	∈	PROPN
ejpam-4586	645	8	k⋆	k⋆	NOUN
ejpam-4586	646	1	such	such	ADJ
ejpam-4586	646	2	that	that	SCONJ
ejpam-4586	646	3	β′	β′	NUM
ejpam-4586	646	4	=	=	SYM
ejpam-4586	646	5	k2β	k2β	PROPN
ejpam-4586	646	6	,	,	PUNCT
ejpam-4586	646	7	so	so	ADV
ejpam-4586	646	8	β′β−1	β′β−1	SYM
ejpam-4586	646	9	∈	∈	PROPN
ejpam-4586	646	10	(	(	PUNCT
ejpam-4586	646	11	k⋆)2	k⋆)2	PROPN
ejpam-4586	646	12	.	.	PUNCT
ejpam-4586	647	1	references	reference	NOUN
ejpam-4586	647	2	[	[	X
ejpam-4586	647	3	1	1	NUM
ejpam-4586	647	4	]	]	PUNCT
ejpam-4586	647	5	zangré	zangré	PROPN
ejpam-4586	647	6	w.	w.	PROPN
ejpam-4586	647	7	achile	achile	PROPN
ejpam-4586	647	8	and	and	CCONJ
ejpam-4586	647	9	conseibo	conseibo	PROPN
ejpam-4586	647	10	andré	andré	VERB
ejpam-4586	647	11	.	.	PUNCT
ejpam-4586	648	1	on	on	ADP
ejpam-4586	648	2	train	train	NOUN
ejpam-4586	648	3	algebras	algebra	NOUN
ejpam-4586	648	4	of	of	ADP
ejpam-4586	648	5	degree	degree	NOUN
ejpam-4586	648	6	2	2	NUM
ejpam-4586	648	7	and	and	CCONJ
ejpam-4586	648	8	exponent	exponent	NOUN
ejpam-4586	648	9	4	4	NUM
ejpam-4586	648	10	.	.	PUNCT
ejpam-4586	648	11	gulf	gulf	PROPN
ejpam-4586	648	12	journal	journal	PROPN
ejpam-4586	648	13	of	of	ADP
ejpam-4586	648	14	mathematics	mathematic	NOUN
ejpam-4586	648	15	,	,	PUNCT
ejpam-4586	648	16	13(1):41–53	13(1):41–53	NUM
ejpam-4586	648	17	,	,	PUNCT
ejpam-4586	648	18	july	july	PROPN
ejpam-4586	648	19	2022	2022	NUM
ejpam-4586	648	20	.	.	PUNCT
ejpam-4586	649	1	references	reference	NOUN
ejpam-4586	649	2	1907	1907	NUM
ejpam-4586	650	1	[	[	X
ejpam-4586	650	2	2	2	NUM
ejpam-4586	650	3	]	]	PUNCT
ejpam-4586	650	4	m.	m.	NOUN
ejpam-4586	650	5	t.	t.	NOUN
ejpam-4586	650	6	alcalde	alcalde	NOUN
ejpam-4586	650	7	,	,	PUNCT
ejpam-4586	650	8	burgueno	burgueno	PROPN
ejpam-4586	650	9	c.	c.	PROPN
ejpam-4586	650	10	,	,	PUNCT
ejpam-4586	650	11	labra	labra	PROPN
ejpam-4586	650	12	a.	a.	NOUN
ejpam-4586	650	13	,	,	PUNCT
ejpam-4586	650	14	and	and	CCONJ
ejpam-4586	650	15	micali	micali	PROPN
ejpam-4586	650	16	a.	a.	PROPN
ejpam-4586	650	17	sur	sur	PROPN
ejpam-4586	650	18	les	les	PROPN
ejpam-4586	650	19	algebres	algebres	PROPN
ejpam-4586	650	20	de	de	PROPN
ejpam-4586	650	21	bernstein	bernstein	PROPN
ejpam-4586	650	22	.	.	PUNCT
ejpam-4586	651	1	proceedings	proceeding	NOUN
ejpam-4586	651	2	of	of	ADP
ejpam-4586	651	3	the	the	DET
ejpam-4586	651	4	london	london	PROPN
ejpam-4586	651	5	mathematical	mathematical	ADJ
ejpam-4586	651	6	society	society	NOUN
ejpam-4586	651	7	,	,	PUNCT
ejpam-4586	651	8	s3	s3	PROPN
ejpam-4586	651	9	-	-	PUNCT
ejpam-4586	651	10	58(1):51–68	58(1):51–68	NUM
ejpam-4586	651	11	,	,	PUNCT
ejpam-4586	651	12	1989	1989	NUM
ejpam-4586	651	13	.	.	PUNCT
ejpam-4586	652	1	[	[	X
ejpam-4586	652	2	3	3	NUM
ejpam-4586	652	3	]	]	X
ejpam-4586	652	4	worz	worz	NOUN
ejpam-4586	652	5	-	-	PUNCT
ejpam-4586	652	6	busekros	busekro	NOUN
ejpam-4586	652	7	angelika	angelika	PROPN
ejpam-4586	652	8	.	.	PUNCT
ejpam-4586	653	1	algebras	algebras	PROPN
ejpam-4586	653	2	in	in	ADP
ejpam-4586	653	3	genetics	genetic	NOUN
ejpam-4586	653	4	,	,	PUNCT
ejpam-4586	653	5	volume	volume	NOUN
ejpam-4586	653	6	36	36	NUM
ejpam-4586	653	7	of	of	ADP
ejpam-4586	653	8	lecture	lecture	NOUN
ejpam-4586	653	9	notes	note	NOUN
ejpam-4586	653	10	in	in	ADP
ejpam-4586	653	11	biomathematics	biomathematic	NOUN
ejpam-4586	653	12	.	.	PUNCT
ejpam-4586	654	1	springer	springer	PROPN
ejpam-4586	654	2	berlin	berlin	PROPN
ejpam-4586	654	3	heidelberg	heidelberg	PROPN
ejpam-4586	654	4	,	,	PUNCT
ejpam-4586	654	5	berlin	berlin	PROPN
ejpam-4586	654	6	,	,	PUNCT
ejpam-4586	654	7	heidelberg	heidelberg	PROPN
ejpam-4586	654	8	,	,	PUNCT
ejpam-4586	654	9	1980	1980	NUM
ejpam-4586	654	10	.	.	PUNCT
ejpam-4586	655	1	[	[	X
ejpam-4586	655	2	4	4	NUM
ejpam-4586	655	3	]	]	PUNCT
ejpam-4586	655	4	i.	i.	NOUN
ejpam-4586	655	5	basso	basso	PROPN
ejpam-4586	655	6	,	,	PUNCT
ejpam-4586	655	7	r.	r.	PROPN
ejpam-4586	655	8	costa	costa	PROPN
ejpam-4586	655	9	,	,	PUNCT
ejpam-4586	655	10	j.	j.	PROPN
ejpam-4586	655	11	carlos	carlos	PROPN
ejpam-4586	655	12	gutiérrez	gutiérrez	PROPN
ejpam-4586	655	13	,	,	PUNCT
ejpam-4586	655	14	and	and	CCONJ
ejpam-4586	655	15	h.	h.	PROPN
ejpam-4586	655	16	guzzo	guzzo	PROPN
ejpam-4586	655	17	jr	jr	PROPN
ejpam-4586	655	18	.	.	PROPN
ejpam-4586	655	19	cubic	cubic	ADJ
ejpam-4586	655	20	algebra	algebra	PROPN
ejpam-4586	655	21	of	of	ADP
ejpam-4586	655	22	exponent	exponent	NOUN
ejpam-4586	655	23	2	2	NUM
ejpam-4586	655	24	:	:	PUNCT
ejpam-4586	655	25	basic	basic	ADJ
ejpam-4586	655	26	properties	property	NOUN
ejpam-4586	655	27	.	.	PUNCT
ejpam-4586	656	1	pages	page	NOUN
ejpam-4586	656	2	245–258	245–258	NUM
ejpam-4586	656	3	,	,	PUNCT
ejpam-4586	656	4	1999	1999	NUM
ejpam-4586	656	5	.	.	PUNCT
ejpam-4586	657	1	[	[	X
ejpam-4586	657	2	5	5	X
ejpam-4586	657	3	]	]	X
ejpam-4586	657	4	joseph	joseph	PROPN
ejpam-4586	657	5	bayara	bayara	PROPN
ejpam-4586	657	6	,	,	PUNCT
ejpam-4586	657	7	andré	andré	VERB
ejpam-4586	657	8	conseibo	conseibo	PROPN
ejpam-4586	657	9	,	,	PUNCT
ejpam-4586	657	10	moussa	moussa	PROPN
ejpam-4586	657	11	ouattara	ouattara	PROPN
ejpam-4586	657	12	,	,	PUNCT
ejpam-4586	657	13	and	and	CCONJ
ejpam-4586	657	14	fouad	fouad	PROPN
ejpam-4586	657	15	zitan	zitan	PROPN
ejpam-4586	657	16	.	.	PUNCT
ejpam-4586	658	1	powerassociative	powerassociative	ADJ
ejpam-4586	658	2	algebras	algebra	NOUN
ejpam-4586	658	3	that	that	PRON
ejpam-4586	658	4	are	be	AUX
ejpam-4586	658	5	train	train	NOUN
ejpam-4586	658	6	algebras	algebra	NOUN
ejpam-4586	658	7	.	.	PUNCT
ejpam-4586	659	1	journal	journal	PROPN
ejpam-4586	659	2	of	of	ADP
ejpam-4586	659	3	algebra	algebra	PROPN
ejpam-4586	659	4	,	,	PUNCT
ejpam-4586	659	5	324(6):1159–1176	324(6):1159–1176	PROPN
ejpam-4586	659	6	,	,	PUNCT
ejpam-4586	659	7	september	september	PROPN
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ejpam-4586	659	9	.	.	PUNCT
ejpam-4586	660	1	[	[	X
ejpam-4586	660	2	6	6	NUM
ejpam-4586	660	3	]	]	PUNCT
ejpam-4586	660	4	serge	serge	PROPN
ejpam-4586	660	5	bernstein	bernstein	PROPN
ejpam-4586	660	6	.	.	PUNCT
ejpam-4586	660	7	démonstration	démonstration	PROPN
ejpam-4586	660	8	mathématique	mathématique	PROPN
ejpam-4586	660	9	de	de	X
ejpam-4586	660	10	la	la	PROPN
ejpam-4586	660	11	loi	loi	PROPN
ejpam-4586	660	12	de	de	X
ejpam-4586	660	13	l’hérédité	l’hérédité	PROPN
ejpam-4586	660	14	de	de	X
ejpam-4586	660	15	mendel	mendel	PROPN
ejpam-4586	660	16	.	.	PUNCT
ejpam-4586	661	1	comptes	compte	VERB
ejpam-4586	661	2	rendus	rendus	PROPN
ejpam-4586	661	3	hebdomadaires	hebdomadaires	PROPN
ejpam-4586	661	4	des	des	PROPN
ejpam-4586	661	5	sé	sé	PROPN
ejpam-4586	661	6	,	,	PUNCT
ejpam-4586	661	7	pages	page	NOUN
ejpam-4586	661	8	=	=	NOUN
ejpam-4586	661	9	528	528	NUM
ejpam-4586	661	10	-	-	SYM
ejpam-4586	661	11	531	531	NUM
ejpam-4586	661	12	,	,	PUNCT
ejpam-4586	661	13	year	year	NOUN
ejpam-4586	661	14	=	=	SYM
ejpam-4586	661	15	1923	1923	NUM
ejpam-4586	661	16	,	,	PUNCT
ejpam-4586	661	17	note	note	NOUN
ejpam-4586	661	18	=	=	SYM
ejpam-4586	661	19	paris	paris	PROPN
ejpam-4586	661	20	,	,	PUNCT
ejpam-4586	661	21	tome	tome	NOUN
ejpam-4586	661	22	177	177	NUM
ejpam-4586	661	23	,	,	PUNCT
ejpam-4586	661	24	.	.	PUNCT
ejpam-4586	662	1	[	[	X
ejpam-4586	662	2	7	7	X
ejpam-4586	662	3	]	]	X
ejpam-4586	662	4	schafer	schafer	PROPN
ejpam-4586	662	5	r.	r.	PROPN
ejpam-4586	662	6	d.	d.	PROPN
ejpam-4586	662	7	structure	structure	PROPN
ejpam-4586	662	8	of	of	ADP
ejpam-4586	662	9	genetic	genetic	ADJ
ejpam-4586	662	10	algebras	algebra	NOUN
ejpam-4586	662	11	.	.	PUNCT
ejpam-4586	663	1	amer	amer	PROPN
ejpam-4586	663	2	.	.	PROPN
ejpam-4586	664	1	1	1	NUM
ejpam-4586	664	2	.	.	X
ejpam-4586	664	3	math	math	NOUN
ejpam-4586	664	4	.	.	PUNCT
ejpam-4586	665	1	vol	vol	NOUN
ejpam-4586	665	2	71	71	NUM
ejpam-4586	665	3	,	,	PUNCT
ejpam-4586	665	4	pages	page	NOUN
ejpam-4586	665	5	121–135	121–135	NUM
ejpam-4586	665	6	,	,	PUNCT
ejpam-4586	665	7	1949	1949	NUM
ejpam-4586	665	8	.	.	PUNCT
ejpam-4586	666	1	[	[	X
ejpam-4586	666	2	8	8	NUM
ejpam-4586	666	3	]	]	X
ejpam-4586	666	4	p.	p.	PROPN
ejpam-4586	666	5	holgate	holgate	PROPN
ejpam-4586	666	6	.	.	PUNCT
ejpam-4586	667	1	selfing	selfe	VERB
ejpam-4586	667	2	in	in	ADP
ejpam-4586	667	3	genetic	genetic	ADJ
ejpam-4586	667	4	algebras	algebra	NOUN
ejpam-4586	667	5	.	.	PUNCT
ejpam-4586	668	1	journal	journal	PROPN
ejpam-4586	668	2	of	of	ADP
ejpam-4586	668	3	the	the	DET
ejpam-4586	668	4	london	london	PROPN
ejpam-4586	668	5	mathematical	mathematical	ADJ
ejpam-4586	668	6	society	society	NOUN
ejpam-4586	668	7	,	,	PUNCT
ejpam-4586	668	8	s2	s2	PROPN
ejpam-4586	668	9	-	-	PUNCT
ejpam-4586	668	10	9(4):613–623	9(4):613–623	NUM
ejpam-4586	668	11	,	,	PUNCT
ejpam-4586	668	12	april	april	PROPN
ejpam-4586	668	13	1975	1975	NUM
ejpam-4586	668	14	.	.	PUNCT
ejpam-4586	669	1	[	[	X
ejpam-4586	669	2	9	9	NUM
ejpam-4586	669	3	]	]	PUNCT
ejpam-4586	669	4	bayara	bayara	PROPN
ejpam-4586	669	5	joseph	joseph	PROPN
ejpam-4586	669	6	,	,	PUNCT
ejpam-4586	669	7	conseibo	conseibo	PROPN
ejpam-4586	669	8	andré	andré	PROPN
ejpam-4586	669	9	,	,	PUNCT
ejpam-4586	669	10	moussa	moussa	PROPN
ejpam-4586	669	11	ouattara	ouattara	NOUN
ejpam-4586	669	12	,	,	PUNCT
ejpam-4586	669	13	and	and	CCONJ
ejpam-4586	669	14	micali	micali	PROPN
ejpam-4586	669	15	artibano	artibano	PROPN
ejpam-4586	669	16	.	.	PUNCT
ejpam-4586	670	1	train	train	NOUN
ejpam-4586	670	2	algebras	algebra	NOUN
ejpam-4586	670	3	of	of	ADP
ejpam-4586	670	4	degree	degree	NOUN
ejpam-4586	670	5	2	2	NUM
ejpam-4586	670	6	and	and	CCONJ
ejpam-4586	670	7	exponent	exponent	NOUN
ejpam-4586	670	8	3	3	NUM
ejpam-4586	670	9	.	.	NOUN
ejpam-4586	670	10	discrete	discrete	ADJ
ejpam-4586	670	11	&	&	CCONJ
ejpam-4586	670	12	continuous	continuous	ADJ
ejpam-4586	670	13	dynamical	dynamical	ADJ
ejpam-4586	670	14	systems	system	NOUN
ejpam-4586	670	15	s	s	PROPN
ejpam-4586	670	16	,	,	PUNCT
ejpam-4586	670	17	4(6):1371–1386	4(6):1371–1386	NUM
ejpam-4586	670	18	,	,	PUNCT
ejpam-4586	670	19	2011	2011	NUM
ejpam-4586	670	20	.	.	PUNCT
ejpam-4586	671	1	[	[	X
ejpam-4586	671	2	10	10	NUM
ejpam-4586	671	3	]	]	X
ejpam-4586	671	4	holgate	holgate	PROPN
ejpam-4586	671	5	p.	p.	PROPN
ejpam-4586	671	6	jordan	jordan	PROPN
ejpam-4586	671	7	algebras	algebras	PROPN
ejpam-4586	671	8	arising	arise	VERB
ejpam-4586	671	9	in	in	ADP
ejpam-4586	671	10	population	population	NOUN
ejpam-4586	671	11	genetics	genetic	NOUN
ejpam-4586	671	12	.	.	PUNCT
ejpam-4586	672	1	proc	proc	PROPN
ejpam-4586	672	2	.	.	PUNCT
ejpam-4586	673	1	edinburgh	edinburgh	PROPN
ejpam-4586	673	2	math	math	PROPN
ejpam-4586	673	3	.	.	PUNCT
ejpam-4586	674	1	soc	soc	PROPN
ejpam-4586	674	2	.	.	PUNCT
ejpam-4586	674	3	,	,	PUNCT
ejpam-4586	674	4	15:291–294	15:291–294	NUM
ejpam-4586	674	5	,	,	PUNCT
ejpam-4586	674	6	1967	1967	NUM
ejpam-4586	674	7	.	.	PUNCT