id	sid	tid	token	lemma	pos
5d86nz82f80	1	1	in	in	ADP
5d86nz82f80	1	2	this	this	DET
5d86nz82f80	1	3	thesis	thesis	NOUN
5d86nz82f80	1	4	,	,	PUNCT
5d86nz82f80	1	5	we	we	PRON
5d86nz82f80	1	6	calculate	calculate	VERB
5d86nz82f80	1	7	the	the	DET
5d86nz82f80	1	8	cooperations	cooperation	NOUN
5d86nz82f80	1	9	algebra	algebra	NOUN
5d86nz82f80	1	10	for	for	ADP
5d86nz82f80	1	11	the	the	DET
5d86nz82f80	1	12	second	second	ADJ
5d86nz82f80	1	13	truncated	truncate	VERB
5d86nz82f80	1	14	brown	brown	ADJ
5d86nz82f80	1	15	-	-	PUNCT
5d86nz82f80	1	16	peterson	peterson	NOUN
5d86nz82f80	1	17	spectrum	spectrum	NOUN
5d86nz82f80	1	18	at	at	ADP
5d86nz82f80	1	19	the	the	DET
5d86nz82f80	1	20	prime	prime	ADJ
5d86nz82f80	1	21	2	2	NUM
5d86nz82f80	1	22	.	.	PUNCT
5d86nz82f80	2	1	we	we	PRON
5d86nz82f80	2	2	accomplish	accomplish	VERB
5d86nz82f80	2	3	this	this	PRON
5d86nz82f80	2	4	through	through	ADP
5d86nz82f80	2	5	the	the	DET
5d86nz82f80	2	6	adams	adams	PROPN
5d86nz82f80	2	7	spectral	spectral	ADJ
5d86nz82f80	2	8	sequence	sequence	NOUN
5d86nz82f80	2	9	.	.	PUNCT
5d86nz82f80	3	1	we	we	PRON
5d86nz82f80	3	2	begin	begin	VERB
5d86nz82f80	3	3	by	by	ADP
5d86nz82f80	3	4	introducing	introduce	VERB
5d86nz82f80	3	5	a	a	DET
5d86nz82f80	3	6	filtration	filtration	NOUN
5d86nz82f80	3	7	and	and	CCONJ
5d86nz82f80	3	8	a	a	DET
5d86nz82f80	3	9	splitting	splitting	NOUN
5d86nz82f80	3	10	of	of	ADP
5d86nz82f80	3	11	the	the	DET
5d86nz82f80	3	12	mod	mod	PROPN
5d86nz82f80	3	13	2	2	NUM
5d86nz82f80	3	14	homology	homology	PROPN
5d86nz82f80	3	15	for	for	ADP
5d86nz82f80	3	16	the	the	DET
5d86nz82f80	3	17	second	second	ADJ
5d86nz82f80	3	18	brown	brown	ADJ
5d86nz82f80	3	19	-	-	PUNCT
5d86nz82f80	3	20	peterson	peterson	NOUN
5d86nz82f80	3	21	spectrum	spectrum	NOUN
5d86nz82f80	3	22	.	.	PUNCT
5d86nz82f80	4	1	from	from	ADP
5d86nz82f80	4	2	this	this	DET
5d86nz82f80	4	3	splitting	splitting	NOUN
5d86nz82f80	4	4	we	we	PRON
5d86nz82f80	4	5	derive	derive	VERB
5d86nz82f80	4	6	a	a	DET
5d86nz82f80	4	7	splitting	splitting	NOUN
5d86nz82f80	4	8	on	on	ADP
5d86nz82f80	4	9	the	the	DET
5d86nz82f80	4	10	second	second	ADJ
5d86nz82f80	4	11	page	page	NOUN
5d86nz82f80	4	12	of	of	ADP
5d86nz82f80	4	13	the	the	DET
5d86nz82f80	4	14	adams	adams	PROPN
5d86nz82f80	4	15	spectral	spectral	ADJ
5d86nz82f80	4	16	sequence	sequence	NOUN
5d86nz82f80	4	17	.	.	PUNCT
5d86nz82f80	5	1	this	this	PRON
5d86nz82f80	5	2	is	be	AUX
5d86nz82f80	5	3	a	a	DET
5d86nz82f80	5	4	splitting	splitting	NOUN
5d86nz82f80	5	5	into	into	ADP
5d86nz82f80	5	6	torsion	torsion	NOUN
5d86nz82f80	5	7	concentrated	concentrate	VERB
5d86nz82f80	5	8	in	in	ADP
5d86nz82f80	5	9	adams	adams	PROPN
5d86nz82f80	5	10	filtration	filtration	NOUN
5d86nz82f80	5	11	0	0	NUM
5d86nz82f80	5	12	and	and	CCONJ
5d86nz82f80	5	13	a	a	DET
5d86nz82f80	5	14	torsion	torsion	NOUN
5d86nz82f80	5	15	free	free	ADJ
5d86nz82f80	5	16	component	component	NOUN
5d86nz82f80	5	17	.	.	PUNCT
5d86nz82f80	6	1	we	we	PRON
5d86nz82f80	6	2	then	then	ADV
5d86nz82f80	6	3	show	show	VERB
5d86nz82f80	6	4	that	that	SCONJ
5d86nz82f80	6	5	this	this	DET
5d86nz82f80	6	6	algebraic	algebraic	ADJ
5d86nz82f80	6	7	splitting	splitting	NOUN
5d86nz82f80	6	8	lifts	lift	VERB
5d86nz82f80	6	9	the	the	DET
5d86nz82f80	6	10	stable	stable	ADJ
5d86nz82f80	6	11	homotopy	homotopy	NOUN
5d86nz82f80	6	12	category	category	NOUN
5d86nz82f80	6	13	.	.	PUNCT
5d86nz82f80	7	1	after	after	ADP
5d86nz82f80	7	2	establishing	establish	VERB
5d86nz82f80	7	3	our	our	PRON
5d86nz82f80	7	4	general	general	ADJ
5d86nz82f80	7	5	structural	structural	ADJ
5d86nz82f80	7	6	results	result	NOUN
5d86nz82f80	7	7	,	,	PUNCT
5d86nz82f80	7	8	we	we	PRON
5d86nz82f80	7	9	turn	turn	VERB
5d86nz82f80	7	10	to	to	ADP
5d86nz82f80	7	11	developing	develop	VERB
5d86nz82f80	7	12	an	an	DET
5d86nz82f80	7	13	inductive	inductive	ADJ
5d86nz82f80	7	14	procedure	procedure	NOUN
5d86nz82f80	7	15	for	for	ADP
5d86nz82f80	7	16	determining	determine	VERB
5d86nz82f80	7	17	a	a	DET
5d86nz82f80	7	18	basis	basis	NOUN
5d86nz82f80	7	19	for	for	ADP
5d86nz82f80	7	20	the	the	DET
5d86nz82f80	7	21	ext	ext	ADJ
5d86nz82f80	7	22	groups	group	NOUN
5d86nz82f80	7	23	after	after	ADP
5d86nz82f80	7	24	inverting	invert	VERB
5d86nz82f80	7	25	the	the	DET
5d86nz82f80	7	26	element	element	NOUN
5d86nz82f80	7	27	detecting	detect	VERB
5d86nz82f80	7	28	2	2	NUM
5d86nz82f80	7	29	.	.	PUNCT
5d86nz82f80	8	1	from	from	ADP
5d86nz82f80	8	2	this	this	PRON
5d86nz82f80	8	3	we	we	PRON
5d86nz82f80	8	4	determine	determine	VERB
5d86nz82f80	8	5	a	a	DET
5d86nz82f80	8	6	basis	basis	NOUN
5d86nz82f80	8	7	for	for	ADP
5d86nz82f80	8	8	the	the	DET
5d86nz82f80	8	9	second	second	ADJ
5d86nz82f80	8	10	page	page	NOUN
5d86nz82f80	8	11	of	of	ADP
5d86nz82f80	8	12	the	the	DET
5d86nz82f80	8	13	adams	adams	PROPN
5d86nz82f80	8	14	spectral	spectral	ADJ
5d86nz82f80	8	15	sequence	sequence	NOUN
5d86nz82f80	8	16	modulo	modulo	NOUN
5d86nz82f80	8	17	torsion	torsion	NOUN
5d86nz82f80	8	18	.	.	PUNCT