id	sid	tid	token	lemma	pos
mg74qj74z7p	1	1	in	in	ADP
mg74qj74z7p	1	2	this	this	DET
mg74qj74z7p	1	3	dissertation	dissertation	NOUN
mg74qj74z7p	1	4	,	,	PUNCT
mg74qj74z7p	1	5	we	we	PRON
mg74qj74z7p	1	6	describe	describe	VERB
mg74qj74z7p	1	7	the	the	DET
mg74qj74z7p	1	8	cores	core	NOUN
mg74qj74z7p	1	9	of	of	ADP
mg74qj74z7p	1	10	several	several	ADJ
mg74qj74z7p	1	11	classes	class	NOUN
mg74qj74z7p	1	12	of	of	ADP
mg74qj74z7p	1	13	monomial	monomial	ADJ
mg74qj74z7p	1	14	ideals	ideal	NOUN
mg74qj74z7p	1	15	.	.	PUNCT
mg74qj74z7p	2	1	we	we	PRON
mg74qj74z7p	2	2	also	also	ADV
mg74qj74z7p	2	3	find	find	VERB
mg74qj74z7p	2	4	bounds	bound	NOUN
mg74qj74z7p	2	5	on	on	ADP
mg74qj74z7p	2	6	the	the	DET
mg74qj74z7p	2	7	reduction	reduction	NOUN
mg74qj74z7p	2	8	numbers	number	NOUN
mg74qj74z7p	2	9	of	of	ADP
mg74qj74z7p	2	10	these	these	DET
mg74qj74z7p	2	11	ideals	ideal	NOUN
mg74qj74z7p	2	12	.	.	PUNCT
mg74qj74z7p	3	1	the	the	DET
mg74qj74z7p	3	2	first	first	ADJ
mg74qj74z7p	3	3	class	class	NOUN
mg74qj74z7p	3	4	of	of	ADP
mg74qj74z7p	3	5	ideals	ideal	NOUN
mg74qj74z7p	3	6	which	which	PRON
mg74qj74z7p	3	7	we	we	PRON
mg74qj74z7p	3	8	consider	consider	VERB
mg74qj74z7p	3	9	is	be	AUX
mg74qj74z7p	3	10	one	one	NUM
mg74qj74z7p	3	11	coming	come	VERB
mg74qj74z7p	3	12	from	from	ADP
mg74qj74z7p	3	13	graph	graph	NOUN
mg74qj74z7p	3	14	theory	theory	NOUN
mg74qj74z7p	3	15	,	,	PUNCT
mg74qj74z7p	3	16	the	the	DET
mg74qj74z7p	3	17	strongly	strongly	ADV
mg74qj74z7p	3	18	stable	stable	ADJ
mg74qj74z7p	3	19	ideals	ideal	NOUN
mg74qj74z7p	3	20	of	of	ADP
mg74qj74z7p	3	21	degree	degree	NOUN
mg74qj74z7p	3	22	two	two	NUM
mg74qj74z7p	3	23	.	.	PUNCT
mg74qj74z7p	4	1	we	we	PRON
mg74qj74z7p	4	2	prove	prove	VERB
mg74qj74z7p	4	3	that	that	SCONJ
mg74qj74z7p	4	4	a	a	DET
mg74qj74z7p	4	5	strongly	strongly	ADV
mg74qj74z7p	4	6	stable	stable	ADJ
mg74qj74z7p	4	7	ideal	ideal	NOUN
mg74qj74z7p	4	8	i	i	PRON
mg74qj74z7p	4	9	of	of	ADP
mg74qj74z7p	4	10	degree	degree	NOUN
mg74qj74z7p	4	11	two	two	NUM
mg74qj74z7p	4	12	in	in	ADP
mg74qj74z7p	4	13	k[x_1,	k[x_1,	SPACE
mg74qj74z7p	4	14	...	...	PUNCT
mg74qj74z7p	4	15	,x_d	,x_d	PUNCT
mg74qj74z7p	4	16	]	]	PUNCT
mg74qj74z7p	4	17	has	have	VERB
mg74qj74z7p	4	18	the	the	DET
mg74qj74z7p	4	19	g_d	g_d	PROPN
mg74qj74z7p	4	20	property	property	NOUN
mg74qj74z7p	4	21	if	if	SCONJ
mg74qj74z7p	4	22	and	and	CCONJ
mg74qj74z7p	4	23	only	only	ADV
mg74qj74z7p	4	24	if	if	SCONJ
mg74qj74z7p	4	25	x_{g-1}x_d	x_{g-1}x_d	PROPN
mg74qj74z7p	4	26	is	be	AUX
mg74qj74z7p	4	27	in	in	ADP
mg74qj74z7p	4	28	i	i	PRON
mg74qj74z7p	4	29	,	,	PUNCT
mg74qj74z7p	4	30	where	where	SCONJ
mg74qj74z7p	4	31	g	g	PROPN
mg74qj74z7p	4	32	is	be	AUX
mg74qj74z7p	4	33	the	the	DET
mg74qj74z7p	4	34	height	height	NOUN
mg74qj74z7p	4	35	of	of	ADP
mg74qj74z7p	4	36	i.	i.	NOUN
mg74qj74z7p	4	37	we	we	PRON
mg74qj74z7p	4	38	also	also	ADV
mg74qj74z7p	4	39	prove	prove	VERB
mg74qj74z7p	4	40	that	that	SCONJ
mg74qj74z7p	4	41	any	any	DET
mg74qj74z7p	4	42	strongly	strongly	ADV
mg74qj74z7p	4	43	stable	stable	ADJ
mg74qj74z7p	4	44	ideal	ideal	NOUN
mg74qj74z7p	4	45	of	of	ADP
mg74qj74z7p	4	46	degree	degree	NOUN
mg74qj74z7p	4	47	two	two	NUM
mg74qj74z7p	4	48	in	in	ADP
mg74qj74z7p	4	49	k[x_1,	k[x_1,	SPACE
mg74qj74z7p	4	50	...	...	PUNCT
mg74qj74z7p	4	51	,x_d	,x_d	PUNCT
mg74qj74z7p	4	52	]	]	X
mg74qj74z7p	4	53	which	which	PRON
mg74qj74z7p	4	54	has	have	VERB
mg74qj74z7p	4	55	the	the	DET
mg74qj74z7p	4	56	g_d	g_d	PROPN
mg74qj74z7p	4	57	property	property	NOUN
mg74qj74z7p	4	58	satisfies	satisfie	NOUN
mg74qj74z7p	4	59	the	the	DET
mg74qj74z7p	4	60	artin	artin	ADJ
mg74qj74z7p	4	61	-	-	PUNCT
mg74qj74z7p	4	62	nagata	nagata	NOUN
mg74qj74z7p	4	63	property	property	NOUN
mg74qj74z7p	4	64	an_{d-1	an_{d-1	NOUN
mg74qj74z7p	4	65	}	}	PUNCT
mg74qj74z7p	4	66	.	.	PUNCT
mg74qj74z7p	5	1	we	we	PRON
mg74qj74z7p	5	2	then	then	ADV
mg74qj74z7p	5	3	show	show	VERB
mg74qj74z7p	5	4	that	that	SCONJ
mg74qj74z7p	5	5	the	the	DET
mg74qj74z7p	5	6	core	core	NOUN
mg74qj74z7p	5	7	of	of	ADP
mg74qj74z7p	5	8	such	such	DET
mg74qj74z7p	5	9	an	an	DET
mg74qj74z7p	5	10	ideal	ideal	NOUN
mg74qj74z7p	5	11	i	i	PRON
mg74qj74z7p	5	12	is	be	AUX
mg74qj74z7p	5	13	given	give	VERB
mg74qj74z7p	5	14	by	by	ADP
mg74qj74z7p	5	15	core(i)=i	core(i)=i	ADJ
mg74qj74z7p	5	16	m^{g-1	m^{g-1	NOUN
mg74qj74z7p	5	17	}	}	PUNCT
mg74qj74z7p	5	18	,	,	PUNCT
mg74qj74z7p	5	19	where	where	SCONJ
mg74qj74z7p	5	20	g	g	PROPN
mg74qj74z7p	5	21	is	be	AUX
mg74qj74z7p	5	22	the	the	DET
mg74qj74z7p	5	23	height	height	NOUN
mg74qj74z7p	5	24	of	of	ADP
mg74qj74z7p	5	25	i	i	PRON
mg74qj74z7p	5	26	,	,	PUNCT
mg74qj74z7p	5	27	and	and	CCONJ
mg74qj74z7p	5	28	m	m	VERB
mg74qj74z7p	5	29	is	be	AUX
mg74qj74z7p	5	30	the	the	DET
mg74qj74z7p	5	31	homogeneous	homogeneous	ADJ
mg74qj74z7p	5	32	maximal	maximal	ADJ
mg74qj74z7p	5	33	ideal	ideal	NOUN
mg74qj74z7p	5	34	(	(	PUNCT
mg74qj74z7p	5	35	x_1,	x_1,	PROPN
mg74qj74z7p	5	36	...	...	PUNCT
mg74qj74z7p	5	37	,x_d	,x_d	PUNCT
mg74qj74z7p	5	38	)	)	PUNCT
mg74qj74z7p	5	39	.	.	PUNCT
mg74qj74z7p	6	1	we	we	PRON
mg74qj74z7p	6	2	also	also	ADV
mg74qj74z7p	6	3	show	show	VERB
mg74qj74z7p	6	4	that	that	SCONJ
mg74qj74z7p	6	5	the	the	DET
mg74qj74z7p	6	6	reduction	reduction	NOUN
mg74qj74z7p	6	7	number	number	NOUN
mg74qj74z7p	6	8	r(i	r(i	SPACE
mg74qj74z7p	6	9	)	)	PUNCT
mg74qj74z7p	6	10	is	be	AUX
mg74qj74z7p	6	11	at	at	ADP
mg74qj74z7p	6	12	most	most	ADJ
mg74qj74z7p	6	13	g-1	g-1	NOUN
mg74qj74z7p	6	14	.	.	PUNCT
mg74qj74z7p	7	1	specifically	specifically	ADV
mg74qj74z7p	7	2	,	,	PUNCT
mg74qj74z7p	7	3	we	we	PRON
mg74qj74z7p	7	4	prove	prove	VERB
mg74qj74z7p	7	5	that	that	SCONJ
mg74qj74z7p	7	6	an	an	DET
mg74qj74z7p	7	7	ideal	ideal	ADJ
mg74qj74z7p	7	8	j	j	NOUN
mg74qj74z7p	7	9	=	=	NOUN
mg74qj74z7p	7	10	j_i	j_i	X
mg74qj74z7p	7	11	whose	whose	DET
mg74qj74z7p	7	12	elements	element	NOUN
mg74qj74z7p	7	13	correspond	correspond	VERB
mg74qj74z7p	7	14	to	to	ADP
mg74qj74z7p	7	15	diagonals	diagonal	NOUN
mg74qj74z7p	7	16	in	in	ADP
mg74qj74z7p	7	17	the	the	DET
mg74qj74z7p	7	18	tableau	tableau	NOUN
mg74qj74z7p	7	19	associated	associate	VERB
mg74qj74z7p	7	20	to	to	ADP
mg74qj74z7p	7	21	i	i	PRON
mg74qj74z7p	7	22	is	be	AUX
mg74qj74z7p	7	23	a	a	DET
mg74qj74z7p	7	24	minimal	minimal	ADJ
mg74qj74z7p	7	25	reduction	reduction	NOUN
mg74qj74z7p	7	26	of	of	ADP
mg74qj74z7p	7	27	i	i	PRON
mg74qj74z7p	7	28	,	,	PUNCT
mg74qj74z7p	7	29	and	and	CCONJ
mg74qj74z7p	7	30	that	that	SCONJ
mg74qj74z7p	7	31	r_j(i	r_j(i	SPACE
mg74qj74z7p	7	32	)	)	PUNCT
mg74qj74z7p	7	33	<	<	X
mg74qj74z7p	7	34	g.	g.	PROPN
mg74qj74z7p	7	35	the	the	DET
mg74qj74z7p	7	36	other	other	ADJ
mg74qj74z7p	7	37	classes	class	NOUN
mg74qj74z7p	7	38	of	of	ADP
mg74qj74z7p	7	39	ideals	ideal	NOUN
mg74qj74z7p	7	40	which	which	PRON
mg74qj74z7p	7	41	we	we	PRON
mg74qj74z7p	7	42	consider	consider	VERB
mg74qj74z7p	7	43	are	be	AUX
mg74qj74z7p	7	44	zero	zero	NUM
mg74qj74z7p	7	45	-	-	PUNCT
mg74qj74z7p	7	46	dimensional	dimensional	ADJ
mg74qj74z7p	7	47	monomial	monomial	ADJ
mg74qj74z7p	7	48	ideals	ideal	NOUN
mg74qj74z7p	7	49	in	in	ADP
mg74qj74z7p	7	50	the	the	DET
mg74qj74z7p	7	51	polynomial	polynomial	ADJ
mg74qj74z7p	7	52	ring	ring	NOUN
mg74qj74z7p	7	53	r	r	NOUN
mg74qj74z7p	7	54	=	=	NOUN
mg74qj74z7p	7	55	k[x_1,	k[x_1,	SPACE
mg74qj74z7p	7	56	...	...	PUNCT
mg74qj74z7p	7	57	,x_d	,x_d	PUNCT
mg74qj74z7p	7	58	]	]	PUNCT
mg74qj74z7p	7	59	.	.	PUNCT
mg74qj74z7p	8	1	we	we	PRON
mg74qj74z7p	8	2	show	show	VERB
mg74qj74z7p	8	3	that	that	SCONJ
mg74qj74z7p	8	4	,	,	PUNCT
mg74qj74z7p	8	5	if	if	SCONJ
mg74qj74z7p	8	6	such	such	DET
mg74qj74z7p	8	7	an	an	DET
mg74qj74z7p	8	8	ideal	ideal	NOUN
mg74qj74z7p	8	9	i	i	PRON
mg74qj74z7p	8	10	is	be	AUX
mg74qj74z7p	8	11	an	an	DET
mg74qj74z7p	8	12	almost	almost	ADV
mg74qj74z7p	8	13	complete	complete	ADJ
mg74qj74z7p	8	14	intersection	intersection	NOUN
mg74qj74z7p	8	15	,	,	PUNCT
mg74qj74z7p	8	16	then	then	ADV
mg74qj74z7p	8	17	the	the	DET
mg74qj74z7p	8	18	core	core	NOUN
mg74qj74z7p	8	19	of	of	ADP
mg74qj74z7p	8	20	i	i	PRON
mg74qj74z7p	8	21	satisfies	satisfy	VERB
mg74qj74z7p	8	22	a	a	DET
mg74qj74z7p	8	23	(	(	PUNCT
mg74qj74z7p	8	24	d+1)-fold	d+1)-fold	ADJ
mg74qj74z7p	8	25	symmetry	symmetry	NOUN
mg74qj74z7p	8	26	property	property	NOUN
mg74qj74z7p	8	27	coming	come	VERB
mg74qj74z7p	8	28	from	from	ADP
mg74qj74z7p	8	29	the	the	DET
mg74qj74z7p	8	30	generators	generator	NOUN
mg74qj74z7p	8	31	of	of	ADP
mg74qj74z7p	8	32	i	i	PRON
mg74qj74z7p	8	33	,	,	PUNCT
mg74qj74z7p	8	34	and	and	CCONJ
mg74qj74z7p	8	35	hence	hence	ADV
mg74qj74z7p	8	36	that	that	SCONJ
mg74qj74z7p	8	37	the	the	DET
mg74qj74z7p	8	38	shape	shape	NOUN
mg74qj74z7p	8	39	of	of	ADP
mg74qj74z7p	8	40	core(i	core(i	PROPN
mg74qj74z7p	8	41	)	)	PUNCT
mg74qj74z7p	8	42	is	be	AUX
mg74qj74z7p	8	43	closely	closely	ADV
mg74qj74z7p	8	44	related	related	ADJ
mg74qj74z7p	8	45	to	to	ADP
mg74qj74z7p	8	46	the	the	DET
mg74qj74z7p	8	47	shape	shape	NOUN
mg74qj74z7p	8	48	of	of	ADP
mg74qj74z7p	8	49	i.	i.	PROPN
mg74qj74z7p	8	50	using	use	VERB
mg74qj74z7p	8	51	this	this	DET
mg74qj74z7p	8	52	symmetry	symmetry	NOUN
mg74qj74z7p	8	53	property	property	NOUN
mg74qj74z7p	8	54	,	,	PUNCT
mg74qj74z7p	8	55	we	we	PRON
mg74qj74z7p	8	56	completely	completely	ADV
mg74qj74z7p	8	57	describe	describe	VERB
mg74qj74z7p	8	58	the	the	DET
mg74qj74z7p	8	59	shape	shape	NOUN
mg74qj74z7p	8	60	of	of	ADP
mg74qj74z7p	8	61	core(i	core(i	PROPN
mg74qj74z7p	8	62	)	)	PUNCT
mg74qj74z7p	8	63	in	in	ADP
mg74qj74z7p	8	64	the	the	DET
mg74qj74z7p	8	65	case	case	NOUN
mg74qj74z7p	8	66	where	where	SCONJ
mg74qj74z7p	8	67	i	i	PRON
mg74qj74z7p	8	68	has	have	VERB
mg74qj74z7p	8	69	a	a	DET
mg74qj74z7p	8	70	monomial	monomial	ADJ
mg74qj74z7p	8	71	minimal	minimal	ADJ
mg74qj74z7p	8	72	reduction	reduction	NOUN
mg74qj74z7p	8	73	.	.	PUNCT
mg74qj74z7p	9	1	then	then	ADV
mg74qj74z7p	9	2	,	,	PUNCT
mg74qj74z7p	9	3	in	in	ADP
mg74qj74z7p	9	4	the	the	DET
mg74qj74z7p	9	5	two	two	NUM
mg74qj74z7p	9	6	-	-	PUNCT
mg74qj74z7p	9	7	dimensional	dimensional	ADJ
mg74qj74z7p	9	8	case	case	NOUN
mg74qj74z7p	9	9	,	,	PUNCT
mg74qj74z7p	9	10	we	we	PRON
mg74qj74z7p	9	11	give	give	VERB
mg74qj74z7p	9	12	an	an	DET
mg74qj74z7p	9	13	algorithm	algorithm	NOUN
mg74qj74z7p	9	14	for	for	ADP
mg74qj74z7p	9	15	computing	compute	VERB
mg74qj74z7p	9	16	the	the	DET
mg74qj74z7p	9	17	core	core	NOUN
mg74qj74z7p	9	18	of	of	ADP
mg74qj74z7p	9	19	i	i	PRON
mg74qj74z7p	9	20	which	which	PRON
mg74qj74z7p	9	21	allows	allow	VERB
mg74qj74z7p	9	22	us	we	PRON
mg74qj74z7p	9	23	to	to	PART
mg74qj74z7p	9	24	prove	prove	VERB
mg74qj74z7p	9	25	that	that	SCONJ
mg74qj74z7p	9	26	the	the	DET
mg74qj74z7p	9	27	minimal	minimal	ADJ
mg74qj74z7p	9	28	number	number	NOUN
mg74qj74z7p	9	29	of	of	ADP
mg74qj74z7p	9	30	generators	generator	NOUN
mg74qj74z7p	9	31	of	of	ADP
mg74qj74z7p	9	32	core(i	core(i	PROPN
mg74qj74z7p	9	33	)	)	PUNCT
mg74qj74z7p	9	34	is	be	AUX
mg74qj74z7p	9	35	2r+2	2r+2	PROPN
mg74qj74z7p	9	36	,	,	PUNCT
mg74qj74z7p	9	37	where	where	SCONJ
mg74qj74z7p	9	38	r	r	NOUN
mg74qj74z7p	9	39	is	be	AUX
mg74qj74z7p	9	40	the	the	DET
mg74qj74z7p	9	41	reduction	reduction	NOUN
mg74qj74z7p	9	42	number	number	NOUN
mg74qj74z7p	9	43	of	of	ADP
mg74qj74z7p	9	44	i.	i.	PROPN
mg74qj74z7p	9	45	we	we	PRON
mg74qj74z7p	9	46	prove	prove	VERB
mg74qj74z7p	9	47	that	that	SCONJ
mg74qj74z7p	9	48	this	this	DET
mg74qj74z7p	9	49	result	result	NOUN
mg74qj74z7p	9	50	holds	hold	VERB
mg74qj74z7p	9	51	even	even	ADV
mg74qj74z7p	9	52	for	for	ADP
mg74qj74z7p	9	53	ideals	ideal	NOUN
mg74qj74z7p	9	54	which	which	PRON
mg74qj74z7p	9	55	do	do	AUX
mg74qj74z7p	9	56	not	not	PART
mg74qj74z7p	9	57	have	have	VERB
mg74qj74z7p	9	58	a	a	DET
mg74qj74z7p	9	59	minimal	minimal	ADJ
mg74qj74z7p	9	60	reduction	reduction	NOUN
mg74qj74z7p	9	61	which	which	PRON
mg74qj74z7p	9	62	is	be	AUX
mg74qj74z7p	9	63	monomial	monomial	ADJ
mg74qj74z7p	9	64	.	.	PUNCT
mg74qj74z7p	10	1	we	we	PRON
mg74qj74z7p	10	2	also	also	ADV
mg74qj74z7p	10	3	describe	describe	VERB
mg74qj74z7p	10	4	the	the	DET
mg74qj74z7p	10	5	core	core	NOUN
mg74qj74z7p	10	6	of	of	ADP
mg74qj74z7p	10	7	an	an	DET
mg74qj74z7p	10	8	ideal	ideal	NOUN
mg74qj74z7p	10	9	i	i	PRON
mg74qj74z7p	10	10	in	in	ADP
mg74qj74z7p	10	11	k[x	k[x	PROPN
mg74qj74z7p	10	12	,	,	PUNCT
mg74qj74z7p	10	13	y	y	PROPN
mg74qj74z7p	10	14	]	]	PUNCT
mg74qj74z7p	10	15	having	have	VERB
mg74qj74z7p	10	16	more	more	ADJ
mg74qj74z7p	10	17	generators	generator	NOUN
mg74qj74z7p	10	18	,	,	PUNCT
mg74qj74z7p	10	19	in	in	ADP
mg74qj74z7p	10	20	the	the	DET
mg74qj74z7p	10	21	case	case	NOUN
mg74qj74z7p	10	22	where	where	SCONJ
mg74qj74z7p	10	23	i	i	PRON
mg74qj74z7p	10	24	has	have	VERB
mg74qj74z7p	10	25	a	a	DET
mg74qj74z7p	10	26	monomial	monomial	ADJ
mg74qj74z7p	10	27	minimal	minimal	ADJ
mg74qj74z7p	10	28	reduction	reduction	NOUN
mg74qj74z7p	10	29	.	.	PUNCT
mg74qj74z7p	11	1	finally	finally	ADV
mg74qj74z7p	11	2	,	,	PUNCT
mg74qj74z7p	11	3	we	we	PRON
mg74qj74z7p	11	4	consider	consider	VERB
mg74qj74z7p	11	5	a	a	DET
mg74qj74z7p	11	6	strongly	strongly	ADV
mg74qj74z7p	11	7	stable	stable	ADJ
mg74qj74z7p	11	8	ideal	ideal	NOUN
mg74qj74z7p	11	9	i	i	PRON
mg74qj74z7p	11	10	in	in	ADP
mg74qj74z7p	11	11	k[x	k[x	PROPN
mg74qj74z7p	11	12	,	,	PUNCT
mg74qj74z7p	11	13	y	y	PROPN
mg74qj74z7p	11	14	]	]	PUNCT
mg74qj74z7p	11	15	having	have	VERB
mg74qj74z7p	11	16	a	a	DET
mg74qj74z7p	11	17	monomial	monomial	ADJ
mg74qj74z7p	11	18	minimal	minimal	ADJ
mg74qj74z7p	11	19	reduction	reduction	NOUN
mg74qj74z7p	11	20	j.	j.	PROPN
mg74qj74z7p	11	21	we	we	PRON
mg74qj74z7p	11	22	prove	prove	VERB
mg74qj74z7p	11	23	that	that	SCONJ
mg74qj74z7p	11	24	r_j(i	r_j(i	SPACE
mg74qj74z7p	11	25	)	)	PUNCT
mg74qj74z7p	11	26	leq	leq	PROPN
mg74qj74z7p	11	27	mu(i)-2	mu(i)-2	PROPN
mg74qj74z7p	11	28	,	,	PUNCT
mg74qj74z7p	11	29	and	and	CCONJ
mg74qj74z7p	11	30	we	we	PRON
mg74qj74z7p	11	31	give	give	VERB
mg74qj74z7p	11	32	an	an	DET
mg74qj74z7p	11	33	algorithm	algorithm	NOUN
mg74qj74z7p	11	34	for	for	ADP
mg74qj74z7p	11	35	obtaining	obtain	VERB
mg74qj74z7p	11	36	the	the	DET
mg74qj74z7p	11	37	core	core	NOUN
mg74qj74z7p	11	38	of	of	ADP
mg74qj74z7p	11	39	i	i	PRON
mg74qj74z7p	11	40	via	via	ADP
mg74qj74z7p	11	41	its	its	PRON
mg74qj74z7p	11	42	first	first	ADJ
mg74qj74z7p	11	43	coefficient	coefficient	NOUN
mg74qj74z7p	11	44	ideal	ideal	NOUN
mg74qj74z7p	11	45	.	.	PUNCT