id	sid	tid	token	lemma	pos
ejpam-5377	1	1	european	european	PROPN
ejpam-5377	1	2	journal	journal	PROPN
ejpam-5377	1	3	of	of	ADP
ejpam-5377	1	4	pure	pure	ADJ
ejpam-5377	1	5	and	and	CCONJ
ejpam-5377	1	6	applied	apply	VERB
ejpam-5377	1	7	mathematics	mathematic	NOUN
ejpam-5377	1	8	vol	vol	NOUN
ejpam-5377	1	9	.	.	PROPN
ejpam-5377	2	1	17	17	NUM
ejpam-5377	2	2	,	,	PUNCT
ejpam-5377	2	3	no	no	INTJ
ejpam-5377	2	4	.	.	NOUN
ejpam-5377	2	5	4	4	NUM
ejpam-5377	2	6	,	,	PUNCT
ejpam-5377	2	7	2024	2024	NUM
ejpam-5377	2	8	,	,	PUNCT
ejpam-5377	2	9	2720	2720	NUM
ejpam-5377	2	10	-	-	SYM
ejpam-5377	2	11	2725	2725	NUM
ejpam-5377	2	12	issn	issn	PROPN
ejpam-5377	2	13	1307	1307	NUM
ejpam-5377	2	14	-	-	SYM
ejpam-5377	2	15	5543	5543	NUM
ejpam-5377	2	16	–	–	PUNCT
ejpam-5377	2	17	ejpam.com	ejpam.com	X
ejpam-5377	2	18	published	publish	VERB
ejpam-5377	2	19	by	by	ADP
ejpam-5377	2	20	new	new	PROPN
ejpam-5377	2	21	york	york	PROPN
ejpam-5377	2	22	business	business	PROPN
ejpam-5377	2	23	global	global	PROPN
ejpam-5377	2	24	on	on	ADP
ejpam-5377	2	25	the	the	DET
ejpam-5377	2	26	symmetric	symmetric	ADJ
ejpam-5377	2	27	block	block	NOUN
ejpam-5377	2	28	design	design	NOUN
ejpam-5377	2	29	with	with	ADP
ejpam-5377	2	30	parameters	parameter	NOUN
ejpam-5377	2	31	(	(	PUNCT
ejpam-5377	2	32	220	220	NUM
ejpam-5377	2	33	,	,	PUNCT
ejpam-5377	2	34	73	73	NUM
ejpam-5377	2	35	,	,	PUNCT
ejpam-5377	2	36	24	24	NUM
ejpam-5377	2	37	)	)	PUNCT
ejpam-5377	2	38	admitting	admit	VERB
ejpam-5377	2	39	a	a	DET
ejpam-5377	2	40	group	group	NOUN
ejpam-5377	2	41	of	of	ADP
ejpam-5377	2	42	order	order	NOUN
ejpam-5377	2	43	73	73	NUM
ejpam-5377	2	44	menderes	mendere	NOUN
ejpam-5377	2	45	gashi	gashi	PROPN
ejpam-5377	2	46	department	department	PROPN
ejpam-5377	2	47	of	of	ADP
ejpam-5377	2	48	mathematics	mathematic	NOUN
ejpam-5377	2	49	,	,	PUNCT
ejpam-5377	2	50	faculty	faculty	NOUN
ejpam-5377	2	51	of	of	ADP
ejpam-5377	2	52	mathematics	mathematic	NOUN
ejpam-5377	2	53	and	and	CCONJ
ejpam-5377	2	54	natural	natural	ADJ
ejpam-5377	2	55	sciences	science	NOUN
ejpam-5377	2	56	,	,	PUNCT
ejpam-5377	2	57	university	university	NOUN
ejpam-5377	2	58	of	of	ADP
ejpam-5377	2	59	prishtina	prishtina	PROPN
ejpam-5377	2	60	,	,	PUNCT
ejpam-5377	2	61	avenue	avenue	PROPN
ejpam-5377	2	62	”	"	PUNCT
ejpam-5377	2	63	mother	mother	NOUN
ejpam-5377	2	64	teresa	teresa	PROPN
ejpam-5377	2	65	”	"	PUNCT
ejpam-5377	2	66	5	5	NUM
ejpam-5377	2	67	,	,	PUNCT
ejpam-5377	2	68	10000	10000	NUM
ejpam-5377	2	69	prishtina	prishtina	PROPN
ejpam-5377	2	70	,	,	PUNCT
ejpam-5377	2	71	kosovo	kosovo	PROPN
ejpam-5377	2	72	abstract	abstract	PROPN
ejpam-5377	2	73	.	.	PUNCT
ejpam-5377	3	1	in	in	ADP
ejpam-5377	3	2	this	this	DET
ejpam-5377	3	3	paper	paper	NOUN
ejpam-5377	3	4	,	,	PUNCT
ejpam-5377	3	5	we	we	PRON
ejpam-5377	3	6	have	have	AUX
ejpam-5377	3	7	demonstrated	demonstrate	VERB
ejpam-5377	3	8	that	that	SCONJ
ejpam-5377	3	9	for	for	ADP
ejpam-5377	3	10	a	a	DET
ejpam-5377	3	11	putative	putative	ADJ
ejpam-5377	3	12	symmetric	symmetric	ADJ
ejpam-5377	3	13	block	block	NOUN
ejpam-5377	3	14	design	design	NOUN
ejpam-5377	3	15	d	d	NOUN
ejpam-5377	3	16	with	with	ADP
ejpam-5377	3	17	parameters	parameter	NOUN
ejpam-5377	3	18	(	(	PUNCT
ejpam-5377	3	19	220,73,24	220,73,24	NUM
ejpam-5377	3	20	)	)	PUNCT
ejpam-5377	3	21	constructed	construct	VERB
ejpam-5377	3	22	by	by	ADP
ejpam-5377	3	23	group	group	NOUN
ejpam-5377	3	24	g	g	PROPN
ejpam-5377	3	25	of	of	ADP
ejpam-5377	3	26	order	order	NOUN
ejpam-5377	3	27	73	73	NUM
ejpam-5377	3	28	,	,	PUNCT
ejpam-5377	3	29	there	there	PRON
ejpam-5377	3	30	exists	exist	VERB
ejpam-5377	3	31	only	only	ADV
ejpam-5377	3	32	one	one	NUM
ejpam-5377	3	33	orbit	orbit	NOUN
ejpam-5377	3	34	structure	structure	NOUN
ejpam-5377	3	35	up	up	ADP
ejpam-5377	3	36	to	to	ADP
ejpam-5377	3	37	isomorphism	isomorphism	NOUN
ejpam-5377	3	38	.	.	PUNCT
ejpam-5377	4	1	the	the	DET
ejpam-5377	4	2	full	full	ADJ
ejpam-5377	4	3	automorphism	automorphism	NOUN
ejpam-5377	4	4	group	group	NOUN
ejpam-5377	4	5	for	for	ADP
ejpam-5377	4	6	this	this	DET
ejpam-5377	4	7	orbit	orbit	NOUN
ejpam-5377	4	8	structure	structure	NOUN
ejpam-5377	4	9	is	be	AUX
ejpam-5377	4	10	provided	provide	VERB
ejpam-5377	4	11	.	.	PUNCT
ejpam-5377	5	1	2020	2020	NUM
ejpam-5377	5	2	mathematics	mathematic	NOUN
ejpam-5377	5	3	subject	subject	NOUN
ejpam-5377	5	4	classifications	classification	NOUN
ejpam-5377	5	5	:	:	PUNCT
ejpam-5377	5	6	05b05	05b05	NUM
ejpam-5377	5	7	key	key	ADJ
ejpam-5377	5	8	words	word	NOUN
ejpam-5377	5	9	and	and	CCONJ
ejpam-5377	5	10	phrases	phrase	NOUN
ejpam-5377	5	11	:	:	PUNCT
ejpam-5377	5	12	symmetric	symmetric	ADJ
ejpam-5377	5	13	block	block	NOUN
ejpam-5377	5	14	design	design	NOUN
ejpam-5377	5	15	,	,	PUNCT
ejpam-5377	5	16	orbit	orbit	NOUN
ejpam-5377	5	17	structure	structure	NOUN
ejpam-5377	5	18	,	,	PUNCT
ejpam-5377	5	19	automorphism	automorphism	NOUN
ejpam-5377	5	20	group	group	NOUN
ejpam-5377	5	21	1	1	NUM
ejpam-5377	5	22	.	.	PUNCT
ejpam-5377	5	23	introduction	introduction	NOUN
ejpam-5377	5	24	and	and	CCONJ
ejpam-5377	5	25	preliminaries	preliminary	NOUN
ejpam-5377	5	26	a	a	DET
ejpam-5377	5	27	2−(v	2−(v	NUM
ejpam-5377	5	28	,	,	PUNCT
ejpam-5377	5	29	k	k	NOUN
ejpam-5377	5	30	,	,	PUNCT
ejpam-5377	5	31	λ	λ	NOUN
ejpam-5377	5	32	)	)	PUNCT
ejpam-5377	5	33	block	block	NOUN
ejpam-5377	5	34	design	design	NOUN
ejpam-5377	5	35	(	(	PUNCT
ejpam-5377	5	36	p	p	X
ejpam-5377	5	37	,	,	PUNCT
ejpam-5377	5	38	b	b	PROPN
ejpam-5377	5	39	,	,	PUNCT
ejpam-5377	5	40	i	i	NOUN
ejpam-5377	5	41	)	)	PUNCT
ejpam-5377	5	42	is	be	AUX
ejpam-5377	5	43	said	say	VERB
ejpam-5377	5	44	to	to	PART
ejpam-5377	5	45	be	be	AUX
ejpam-5377	5	46	symmetric	symmetric	ADJ
ejpam-5377	5	47	if	if	SCONJ
ejpam-5377	5	48	the	the	DET
ejpam-5377	5	49	relation	relation	NOUN
ejpam-5377	5	50	|p|	|p|	PRON
ejpam-5377	5	51	=	=	PUNCT
ejpam-5377	5	52	|b|	|b|	PROPN
ejpam-5377	5	53	=	=	PUNCT
ejpam-5377	5	54	v	v	NUM
ejpam-5377	5	55	holds	hold	VERB
ejpam-5377	5	56	and	and	CCONJ
ejpam-5377	5	57	in	in	ADP
ejpam-5377	5	58	that	that	DET
ejpam-5377	5	59	case	case	NOUN
ejpam-5377	5	60	we	we	PRON
ejpam-5377	5	61	often	often	ADV
ejpam-5377	5	62	speak	speak	VERB
ejpam-5377	5	63	of	of	ADP
ejpam-5377	5	64	a	a	DET
ejpam-5377	5	65	symmetric	symmetric	ADJ
ejpam-5377	5	66	design	design	NOUN
ejpam-5377	5	67	with	with	ADP
ejpam-5377	5	68	parameters	parameter	NOUN
ejpam-5377	5	69	(	(	PUNCT
ejpam-5377	5	70	v	v	NOUN
ejpam-5377	5	71	,	,	PUNCT
ejpam-5377	5	72	k	k	NOUN
ejpam-5377	5	73	,	,	PUNCT
ejpam-5377	5	74	λ	λ	PROPN
ejpam-5377	5	75	)	)	PUNCT
ejpam-5377	5	76	.	.	PUNCT
ejpam-5377	6	1	the	the	DET
ejpam-5377	6	2	integer	integer	NOUN
ejpam-5377	6	3	n	n	PROPN
ejpam-5377	6	4	=	=	SYM
ejpam-5377	6	5	k	k	PROPN
ejpam-5377	6	6	−	−	PROPN
ejpam-5377	6	7	λ	λ	PROPN
ejpam-5377	6	8	is	be	AUX
ejpam-5377	6	9	called	call	VERB
ejpam-5377	6	10	the	the	DET
ejpam-5377	6	11	order	order	NOUN
ejpam-5377	6	12	of	of	ADP
ejpam-5377	6	13	the	the	DET
ejpam-5377	6	14	symmetric	symmetric	ADJ
ejpam-5377	6	15	block	block	NOUN
ejpam-5377	6	16	design	design	NOUN
ejpam-5377	6	17	.	.	PUNCT
ejpam-5377	7	1	the	the	DET
ejpam-5377	7	2	collection	collection	NOUN
ejpam-5377	7	3	of	of	ADP
ejpam-5377	7	4	the	the	DET
ejpam-5377	7	5	parameter	parameter	NOUN
ejpam-5377	7	6	sets	set	NOUN
ejpam-5377	7	7	(	(	PUNCT
ejpam-5377	7	8	v	v	NOUN
ejpam-5377	7	9	,	,	PUNCT
ejpam-5377	7	10	k	k	NOUN
ejpam-5377	7	11	,	,	PUNCT
ejpam-5377	7	12	λ	λ	NOUN
ejpam-5377	7	13	)	)	PUNCT
ejpam-5377	7	14	for	for	ADP
ejpam-5377	7	15	which	which	PRON
ejpam-5377	7	16	a	a	DET
ejpam-5377	7	17	symmetric	symmetric	ADJ
ejpam-5377	7	18	2	2	NUM
ejpam-5377	7	19	−	−	NOUN
ejpam-5377	7	20	(	(	PUNCT
ejpam-5377	7	21	v	v	NOUN
ejpam-5377	7	22	,	,	PUNCT
ejpam-5377	7	23	k	k	NOUN
ejpam-5377	7	24	,	,	PUNCT
ejpam-5377	7	25	λ	λ	NOUN
ejpam-5377	7	26	)	)	PUNCT
ejpam-5377	7	27	block	block	NOUN
ejpam-5377	7	28	design	design	NOUN
ejpam-5377	7	29	exists	exist	VERB
ejpam-5377	7	30	is	be	AUX
ejpam-5377	7	31	often	often	ADV
ejpam-5377	7	32	called	call	VERB
ejpam-5377	7	33	the	the	DET
ejpam-5377	7	34	”	"	PUNCT
ejpam-5377	7	35	spectrum	spectrum	NOUN
ejpam-5377	7	36	”	"	PUNCT
ejpam-5377	7	37	.	.	PUNCT
ejpam-5377	8	1	the	the	DET
ejpam-5377	8	2	determination	determination	NOUN
ejpam-5377	8	3	of	of	ADP
ejpam-5377	8	4	the	the	DET
ejpam-5377	8	5	spectrum	spectrum	NOUN
ejpam-5377	8	6	for	for	ADP
ejpam-5377	8	7	symmetric	symmetric	ADJ
ejpam-5377	8	8	block	block	NOUN
ejpam-5377	8	9	designs	design	NOUN
ejpam-5377	8	10	is	be	AUX
ejpam-5377	8	11	a	a	DET
ejpam-5377	8	12	widely	widely	ADV
ejpam-5377	8	13	open	open	ADJ
ejpam-5377	8	14	problem	problem	NOUN
ejpam-5377	8	15	.	.	PUNCT
ejpam-5377	9	1	for	for	ADP
ejpam-5377	9	2	example	example	NOUN
ejpam-5377	9	3	,	,	PUNCT
ejpam-5377	9	4	a	a	DET
ejpam-5377	9	5	finite	finite	ADJ
ejpam-5377	9	6	projective	projective	ADJ
ejpam-5377	9	7	plane	plane	NOUN
ejpam-5377	9	8	of	of	ADP
ejpam-5377	9	9	order	order	NOUN
ejpam-5377	9	10	n	n	X
ejpam-5377	9	11	is	be	AUX
ejpam-5377	9	12	a	a	DET
ejpam-5377	9	13	symmetric	symmetric	ADJ
ejpam-5377	9	14	design	design	NOUN
ejpam-5377	9	15	with	with	ADP
ejpam-5377	9	16	parameters	parameter	NOUN
ejpam-5377	9	17	(	(	PUNCT
ejpam-5377	9	18	n2+n+1	n2+n+1	NUM
ejpam-5377	9	19	,	,	PUNCT
ejpam-5377	9	20	n+1	n+1	PROPN
ejpam-5377	9	21	,	,	PUNCT
ejpam-5377	9	22	1	1	NUM
ejpam-5377	9	23	)	)	PUNCT
ejpam-5377	9	24	and	and	CCONJ
ejpam-5377	9	25	it	it	PRON
ejpam-5377	9	26	is	be	AUX
ejpam-5377	9	27	still	still	ADV
ejpam-5377	9	28	unknown	unknown	ADJ
ejpam-5377	9	29	whether	whether	SCONJ
ejpam-5377	9	30	finite	finite	PROPN
ejpam-5377	9	31	projective	projective	ADJ
ejpam-5377	9	32	planes	plane	NOUN
ejpam-5377	9	33	of	of	ADP
ejpam-5377	9	34	non	non	ADJ
ejpam-5377	9	35	–	–	NOUN
ejpam-5377	9	36	prime	prime	ADJ
ejpam-5377	9	37	–	–	PUNCT
ejpam-5377	9	38	power	power	NOUN
ejpam-5377	9	39	order	order	NOUN
ejpam-5377	9	40	may	may	AUX
ejpam-5377	9	41	exist	exist	VERB
ejpam-5377	9	42	at	at	ADV
ejpam-5377	9	43	all	all	ADV
ejpam-5377	9	44	.	.	PUNCT
ejpam-5377	10	1	the	the	DET
ejpam-5377	10	2	existence	existence	NOUN
ejpam-5377	10	3	/	/	SYM
ejpam-5377	10	4	non	non	NOUN
ejpam-5377	10	5	-	-	NOUN
ejpam-5377	10	6	existence	existence	NOUN
ejpam-5377	10	7	of	of	ADP
ejpam-5377	10	8	a	a	DET
ejpam-5377	10	9	symmetric	symmetric	ADJ
ejpam-5377	10	10	block	block	NOUN
ejpam-5377	10	11	design	design	NOUN
ejpam-5377	10	12	has	have	AUX
ejpam-5377	10	13	often	often	ADV
ejpam-5377	10	14	required	require	VERB
ejpam-5377	10	15	”	"	PUNCT
ejpam-5377	10	16	ad	ad	X
ejpam-5377	10	17	hoc	hoc	X
ejpam-5377	10	18	”	"	PUNCT
ejpam-5377	10	19	treatments	treatment	NOUN
ejpam-5377	10	20	even	even	ADV
ejpam-5377	10	21	for	for	ADP
ejpam-5377	10	22	a	a	DET
ejpam-5377	10	23	single	single	ADJ
ejpam-5377	10	24	parameter	parameter	NOUN
ejpam-5377	10	25	set	set	NOUN
ejpam-5377	10	26	(	(	PUNCT
ejpam-5377	10	27	v	v	NOUN
ejpam-5377	10	28	,	,	PUNCT
ejpam-5377	10	29	k	k	NOUN
ejpam-5377	10	30	,	,	PUNCT
ejpam-5377	10	31	λ	λ	PROPN
ejpam-5377	10	32	)	)	PUNCT
ejpam-5377	10	33	.	.	PUNCT
ejpam-5377	11	1	the	the	DET
ejpam-5377	11	2	most	most	ADV
ejpam-5377	11	3	famous	famous	ADJ
ejpam-5377	11	4	instance	instance	NOUN
ejpam-5377	11	5	of	of	ADP
ejpam-5377	11	6	this	this	DET
ejpam-5377	11	7	circumstance	circumstance	NOUN
ejpam-5377	11	8	is	be	AUX
ejpam-5377	11	9	perhaps	perhaps	ADV
ejpam-5377	11	10	the	the	DET
ejpam-5377	11	11	non	non	NOUN
ejpam-5377	11	12	-	-	NOUN
ejpam-5377	11	13	existence	existence	NOUN
ejpam-5377	11	14	of	of	ADP
ejpam-5377	11	15	the	the	DET
ejpam-5377	11	16	projective	projective	ADJ
ejpam-5377	11	17	plane	plane	NOUN
ejpam-5377	11	18	of	of	ADP
ejpam-5377	11	19	order	order	NOUN
ejpam-5377	11	20	10	10	NUM
ejpam-5377	11	21	,	,	PUNCT
ejpam-5377	11	22	see	see	VERB
ejpam-5377	11	23	[	[	X
ejpam-5377	11	24	9	9	NUM
ejpam-5377	11	25	]	]	PUNCT
ejpam-5377	11	26	.	.	PUNCT
ejpam-5377	12	1	it	it	PRON
ejpam-5377	12	2	is	be	AUX
ejpam-5377	12	3	worthwhile	worthwhile	ADJ
ejpam-5377	12	4	to	to	PART
ejpam-5377	12	5	investigate	investigate	VERB
ejpam-5377	12	6	symmetric	symmetric	ADJ
ejpam-5377	12	7	block	block	NOUN
ejpam-5377	12	8	designs	design	NOUN
ejpam-5377	12	9	with	with	ADP
ejpam-5377	12	10	supplementary	supplementary	ADJ
ejpam-5377	12	11	characteristics	characteristic	NOUN
ejpam-5377	12	12	,	,	PUNCT
ejpam-5377	12	13	frequently	frequently	ADV
ejpam-5377	12	14	entailing	entail	VERB
ejpam-5377	12	15	the	the	DET
ejpam-5377	12	16	premise	premise	NOUN
ejpam-5377	12	17	that	that	SCONJ
ejpam-5377	12	18	a	a	DET
ejpam-5377	12	19	non	non	ADJ
ejpam-5377	12	20	-	-	ADJ
ejpam-5377	12	21	trivial	trivial	ADJ
ejpam-5377	12	22	automorphism	automorphism	NOUN
ejpam-5377	12	23	group	group	NOUN
ejpam-5377	12	24	acts	act	VERB
ejpam-5377	12	25	on	on	ADP
ejpam-5377	12	26	the	the	DET
ejpam-5377	12	27	design	design	NOUN
ejpam-5377	12	28	under	under	ADP
ejpam-5377	12	29	scrutiny	scrutiny	NOUN
ejpam-5377	12	30	.	.	PUNCT
ejpam-5377	13	1	see	see	VERB
ejpam-5377	13	2	for	for	ADP
ejpam-5377	13	3	instance	instance	NOUN
ejpam-5377	13	4	[	[	X
ejpam-5377	13	5	5	5	NUM
ejpam-5377	13	6	]	]	PUNCT
ejpam-5377	13	7	.	.	PUNCT
ejpam-5377	14	1	investigating	investigate	VERB
ejpam-5377	14	2	symmetric	symmetric	ADJ
ejpam-5377	14	3	block	block	NOUN
ejpam-5377	14	4	designs	design	NOUN
ejpam-5377	14	5	of	of	ADP
ejpam-5377	14	6	order	order	NOUN
ejpam-5377	14	7	49	49	NUM
ejpam-5377	14	8	within	within	ADP
ejpam-5377	14	9	the	the	DET
ejpam-5377	14	10	realm	realm	NOUN
ejpam-5377	14	11	of	of	ADP
ejpam-5377	14	12	symmetric	symmetric	ADJ
ejpam-5377	14	13	block	block	NOUN
ejpam-5377	14	14	designs	design	NOUN
ejpam-5377	14	15	of	of	ADP
ejpam-5377	14	16	square	square	ADJ
ejpam-5377	14	17	order	order	NOUN
ejpam-5377	14	18	holds	hold	VERB
ejpam-5377	14	19	notable	notable	ADJ
ejpam-5377	14	20	significance	significance	NOUN
ejpam-5377	14	21	.	.	PUNCT
ejpam-5377	15	1	despite	despite	SCONJ
ejpam-5377	15	2	the	the	DET
ejpam-5377	15	3	existence	existence	NOUN
ejpam-5377	15	4	of	of	ADP
ejpam-5377	15	5	15	15	NUM
ejpam-5377	15	6	potential	potential	ADJ
ejpam-5377	15	7	parameters	parameter	NOUN
ejpam-5377	15	8	(	(	PUNCT
ejpam-5377	15	9	v	v	NOUN
ejpam-5377	15	10	,	,	PUNCT
ejpam-5377	15	11	k	k	NOUN
ejpam-5377	15	12	,	,	PUNCT
ejpam-5377	15	13	λ	λ	NOUN
ejpam-5377	15	14	)	)	PUNCT
ejpam-5377	15	15	for	for	ADP
ejpam-5377	15	16	symmetric	symmetric	ADJ
ejpam-5377	15	17	block	block	NOUN
ejpam-5377	15	18	designs	design	NOUN
ejpam-5377	15	19	of	of	ADP
ejpam-5377	15	20	order	order	NOUN
ejpam-5377	15	21	49	49	NUM
ejpam-5377	15	22	,	,	PUNCT
ejpam-5377	15	23	only	only	ADV
ejpam-5377	15	24	limited	limited	ADJ
ejpam-5377	15	25	results	result	NOUN
ejpam-5377	15	26	have	have	AUX
ejpam-5377	15	27	been	be	AUX
ejpam-5377	15	28	established	establish	VERB
ejpam-5377	15	29	thus	thus	ADV
ejpam-5377	15	30	far	far	ADV
ejpam-5377	15	31	(	(	PUNCT
ejpam-5377	15	32	see	see	VERB
ejpam-5377	15	33	[	[	X
ejpam-5377	15	34	4	4	NUM
ejpam-5377	15	35	]	]	PUNCT
ejpam-5377	15	36	,	,	PUNCT
ejpam-5377	15	37	[	[	X
ejpam-5377	15	38	6	6	NUM
ejpam-5377	15	39	]	]	PUNCT
ejpam-5377	15	40	)	)	PUNCT
ejpam-5377	15	41	.	.	PUNCT
ejpam-5377	16	1	given	give	VERB
ejpam-5377	16	2	the	the	DET
ejpam-5377	16	3	large	large	ADJ
ejpam-5377	16	4	number	number	NOUN
ejpam-5377	16	5	of	of	ADP
ejpam-5377	16	6	points	point	NOUN
ejpam-5377	16	7	(	(	PUNCT
ejpam-5377	16	8	blocks	block	NOUN
ejpam-5377	16	9	)	)	PUNCT
ejpam-5377	16	10	in	in	ADP
ejpam-5377	16	11	symmetric	symmetric	ADJ
ejpam-5377	16	12	doi	doi	NOUN
ejpam-5377	16	13	:	:	PUNCT
ejpam-5377	16	14	https://doi.org/10.29020/nybg.ejpam.v17i4.5377	https://doi.org/10.29020/nybg.ejpam.v17i4.5377	NOUN
ejpam-5377	16	15	email	email	NOUN
ejpam-5377	16	16	address	address	NOUN
ejpam-5377	16	17	:	:	PUNCT
ejpam-5377	16	18	menderes.gashi@uni-pr.edu	menderes.gashi@uni-pr.edu	PROPN
ejpam-5377	16	19	(	(	PUNCT
ejpam-5377	16	20	m.	m.	NOUN
ejpam-5377	16	21	gashi	gashi	PROPN
ejpam-5377	16	22	)	)	PUNCT
ejpam-5377	16	23	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5377	17	1	2720	2720	NUM
ejpam-5377	17	2	copyright	copyright	NOUN
ejpam-5377	17	3	:	:	PUNCT
ejpam-5377	17	4	©	©	PROPN
ejpam-5377	17	5	2024	2024	NUM
ejpam-5377	17	6	the	the	DET
ejpam-5377	17	7	author(s	author(s	NOUN
ejpam-5377	17	8	)	)	PUNCT
ejpam-5377	17	9	.	.	PUNCT
ejpam-5377	18	1	(	(	PUNCT
ejpam-5377	18	2	cc	cc	NOUN
ejpam-5377	18	3	by	by	ADP
ejpam-5377	18	4	-	-	PUNCT
ejpam-5377	18	5	nc	nc	PROPN
ejpam-5377	18	6	4.0	4.0	NUM
ejpam-5377	18	7	)	)	PUNCT
ejpam-5377	18	8	m.	m.	NOUN
ejpam-5377	18	9	gashi	gashi	PROPN
ejpam-5377	18	10	/	/	SYM
ejpam-5377	18	11	eur	eur	PROPN
ejpam-5377	18	12	.	.	PUNCT
ejpam-5377	19	1	j.	j.	PROPN
ejpam-5377	19	2	pure	pure	PROPN
ejpam-5377	19	3	appl	appl	PROPN
ejpam-5377	19	4	.	.	PROPN
ejpam-5377	19	5	math	math	PROPN
ejpam-5377	19	6	,	,	PUNCT
ejpam-5377	19	7	17	17	NUM
ejpam-5377	19	8	(	(	PUNCT
ejpam-5377	19	9	4	4	NUM
ejpam-5377	19	10	)	)	PUNCT
ejpam-5377	19	11	(	(	PUNCT
ejpam-5377	19	12	2024	2024	NUM
ejpam-5377	19	13	)	)	PUNCT
ejpam-5377	19	14	,	,	PUNCT
ejpam-5377	19	15	2720	2720	NUM
ejpam-5377	19	16	-	-	SYM
ejpam-5377	19	17	2725	2725	NUM
ejpam-5377	19	18	2721	2721	NUM
ejpam-5377	19	19	block	block	NOUN
ejpam-5377	19	20	designs	design	NOUN
ejpam-5377	19	21	of	of	ADP
ejpam-5377	19	22	order	order	NOUN
ejpam-5377	19	23	49	49	NUM
ejpam-5377	19	24	,	,	PUNCT
ejpam-5377	19	25	investigating	investigate	VERB
ejpam-5377	19	26	sporadic	sporadic	ADJ
ejpam-5377	19	27	cases	case	NOUN
ejpam-5377	19	28	can	can	AUX
ejpam-5377	19	29	be	be	AUX
ejpam-5377	19	30	highly	highly	ADV
ejpam-5377	19	31	challenging	challenging	ADJ
ejpam-5377	19	32	,	,	PUNCT
ejpam-5377	19	33	unless	unless	SCONJ
ejpam-5377	19	34	one	one	NUM
ejpam-5377	19	35	assumes	assume	VERB
ejpam-5377	19	36	the	the	DET
ejpam-5377	19	37	existence	existence	NOUN
ejpam-5377	19	38	of	of	ADP
ejpam-5377	19	39	a	a	DET
ejpam-5377	19	40	collineation	collineation	NOUN
ejpam-5377	19	41	group	group	NOUN
ejpam-5377	19	42	.	.	PUNCT
ejpam-5377	20	1	several	several	ADJ
ejpam-5377	20	2	techniques	technique	NOUN
ejpam-5377	20	3	exist	exist	VERB
ejpam-5377	20	4	for	for	ADP
ejpam-5377	20	5	constructing	construct	VERB
ejpam-5377	20	6	symmetric	symmetric	ADJ
ejpam-5377	20	7	block	block	NOUN
ejpam-5377	20	8	designs	design	NOUN
ejpam-5377	20	9	,	,	PUNCT
ejpam-5377	20	10	each	each	DET
ejpam-5377	20	11	demonstrating	demonstrate	VERB
ejpam-5377	20	12	effectiveness	effectiveness	NOUN
ejpam-5377	20	13	in	in	ADP
ejpam-5377	20	14	specific	specific	ADJ
ejpam-5377	20	15	situations	situation	NOUN
ejpam-5377	20	16	.	.	PUNCT
ejpam-5377	21	1	in	in	ADP
ejpam-5377	21	2	this	this	DET
ejpam-5377	21	3	instance	instance	NOUN
ejpam-5377	21	4	,	,	PUNCT
ejpam-5377	21	5	we	we	PRON
ejpam-5377	21	6	opt	opt	VERB
ejpam-5377	21	7	for	for	ADP
ejpam-5377	21	8	the	the	DET
ejpam-5377	21	9	tactical	tactical	ADJ
ejpam-5377	21	10	decompositions	decomposition	NOUN
ejpam-5377	21	11	method	method	NOUN
ejpam-5377	21	12	,	,	PUNCT
ejpam-5377	21	13	as	as	SCONJ
ejpam-5377	21	14	employed	employ	VERB
ejpam-5377	21	15	by	by	ADP
ejpam-5377	21	16	z.	z.	PROPN
ejpam-5377	21	17	janko	janko	PROPN
ejpam-5377	21	18	in	in	ADP
ejpam-5377	21	19	[	[	X
ejpam-5377	21	20	7	7	NUM
ejpam-5377	21	21	]	]	PUNCT
ejpam-5377	21	22	,	,	PUNCT
ejpam-5377	21	23	also	also	ADV
ejpam-5377	21	24	referenced	reference	VERB
ejpam-5377	21	25	in	in	ADP
ejpam-5377	21	26	[	[	X
ejpam-5377	21	27	8	8	NUM
ejpam-5377	21	28	]	]	PUNCT
ejpam-5377	21	29	,	,	PUNCT
ejpam-5377	21	30	assuming	assume	VERB
ejpam-5377	21	31	the	the	DET
ejpam-5377	21	32	action	action	NOUN
ejpam-5377	21	33	of	of	ADP
ejpam-5377	21	34	a	a	DET
ejpam-5377	21	35	particular	particular	ADJ
ejpam-5377	21	36	automorphism	automorphism	NOUN
ejpam-5377	21	37	group	group	NOUN
ejpam-5377	21	38	on	on	ADP
ejpam-5377	21	39	the	the	DET
ejpam-5377	21	40	design	design	NOUN
ejpam-5377	21	41	under	under	ADP
ejpam-5377	21	42	construction	construction	NOUN
ejpam-5377	21	43	.	.	PUNCT
ejpam-5377	22	1	this	this	DET
ejpam-5377	22	2	paper	paper	NOUN
ejpam-5377	22	3	focuses	focus	VERB
ejpam-5377	22	4	on	on	ADP
ejpam-5377	22	5	analyzing	analyze	VERB
ejpam-5377	22	6	a	a	DET
ejpam-5377	22	7	symmetric	symmetric	ADJ
ejpam-5377	22	8	block	block	NOUN
ejpam-5377	22	9	design	design	NOUN
ejpam-5377	22	10	denoted	denote	VERB
ejpam-5377	22	11	as	as	ADP
ejpam-5377	22	12	d	d	PROPN
ejpam-5377	22	13	=	=	PUNCT
ejpam-5377	22	14	(	(	PUNCT
ejpam-5377	22	15	p	p	X
ejpam-5377	22	16	,	,	PUNCT
ejpam-5377	22	17	b	b	PROPN
ejpam-5377	22	18	,	,	PUNCT
ejpam-5377	22	19	i	i	NOUN
ejpam-5377	22	20	)	)	PUNCT
ejpam-5377	22	21	with	with	ADP
ejpam-5377	22	22	parameters	parameter	NOUN
ejpam-5377	22	23	(	(	PUNCT
ejpam-5377	22	24	220	220	NUM
ejpam-5377	22	25	,	,	PUNCT
ejpam-5377	22	26	73	73	NUM
ejpam-5377	22	27	,	,	PUNCT
ejpam-5377	22	28	24	24	NUM
ejpam-5377	22	29	)	)	PUNCT
ejpam-5377	22	30	.	.	PUNCT
ejpam-5377	23	1	at	at	ADP
ejpam-5377	23	2	present	present	ADJ
ejpam-5377	23	3	,	,	PUNCT
ejpam-5377	23	4	the	the	DET
ejpam-5377	23	5	existence	existence	NOUN
ejpam-5377	23	6	or	or	CCONJ
ejpam-5377	23	7	non	non	NOUN
ejpam-5377	23	8	-	-	NOUN
ejpam-5377	23	9	existence	existence	NOUN
ejpam-5377	23	10	of	of	ADP
ejpam-5377	23	11	such	such	DET
ejpam-5377	23	12	a	a	DET
ejpam-5377	23	13	design	design	NOUN
ejpam-5377	23	14	remains	remain	VERB
ejpam-5377	23	15	uncertain	uncertain	ADJ
ejpam-5377	23	16	to	to	ADP
ejpam-5377	23	17	the	the	DET
ejpam-5377	23	18	best	good	ADJ
ejpam-5377	23	19	of	of	ADP
ejpam-5377	23	20	our	our	PRON
ejpam-5377	23	21	knowledge	knowledge	NOUN
ejpam-5377	23	22	.	.	PUNCT
ejpam-5377	24	1	additionally	additionally	ADV
ejpam-5377	24	2	,	,	PUNCT
ejpam-5377	24	3	we	we	PRON
ejpam-5377	24	4	posit	posit	VERB
ejpam-5377	24	5	that	that	SCONJ
ejpam-5377	24	6	the	the	DET
ejpam-5377	24	7	specified	specify	VERB
ejpam-5377	24	8	design	design	NOUN
ejpam-5377	24	9	admits	admit	VERB
ejpam-5377	24	10	a	a	DET
ejpam-5377	24	11	particular	particular	ADJ
ejpam-5377	24	12	automorphism	automorphism	NOUN
ejpam-5377	24	13	group	group	NOUN
ejpam-5377	24	14	of	of	ADP
ejpam-5377	24	15	order	order	NOUN
ejpam-5377	24	16	73	73	NUM
ejpam-5377	24	17	.	.	PUNCT
ejpam-5377	25	1	we	we	PRON
ejpam-5377	25	2	expect	expect	VERB
ejpam-5377	25	3	that	that	SCONJ
ejpam-5377	25	4	the	the	DET
ejpam-5377	25	5	reader	reader	NOUN
ejpam-5377	25	6	has	have	VERB
ejpam-5377	25	7	a	a	DET
ejpam-5377	25	8	grasp	grasp	NOUN
ejpam-5377	25	9	of	of	ADP
ejpam-5377	25	10	fundamental	fundamental	ADJ
ejpam-5377	25	11	concepts	concept	NOUN
ejpam-5377	25	12	in	in	ADP
ejpam-5377	25	13	design	design	NOUN
ejpam-5377	25	14	theory	theory	NOUN
ejpam-5377	25	15	,	,	PUNCT
ejpam-5377	25	16	as	as	SCONJ
ejpam-5377	25	17	outlined	outline	VERB
ejpam-5377	25	18	in	in	ADP
ejpam-5377	25	19	references	reference	NOUN
ejpam-5377	25	20	such	such	ADJ
ejpam-5377	25	21	as	as	ADP
ejpam-5377	25	22	[	[	X
ejpam-5377	25	23	2	2	NUM
ejpam-5377	25	24	]	]	PUNCT
ejpam-5377	25	25	,	,	PUNCT
ejpam-5377	25	26	[	[	X
ejpam-5377	25	27	3	3	NUM
ejpam-5377	25	28	]	]	PUNCT
ejpam-5377	25	29	and	and	CCONJ
ejpam-5377	25	30	[	[	X
ejpam-5377	25	31	10	10	NUM
ejpam-5377	25	32	]	]	PUNCT
ejpam-5377	25	33	.	.	PUNCT
ejpam-5377	26	1	if	if	SCONJ
ejpam-5377	26	2	g	g	PROPN
ejpam-5377	26	3	denotes	denote	VERB
ejpam-5377	26	4	an	an	DET
ejpam-5377	26	5	automorphism	automorphism	NOUN
ejpam-5377	26	6	of	of	ADP
ejpam-5377	26	7	a	a	DET
ejpam-5377	26	8	symmetric	symmetric	ADJ
ejpam-5377	26	9	design	design	NOUN
ejpam-5377	26	10	d	d	NOUN
ejpam-5377	26	11	characterized	characterize	VERB
ejpam-5377	26	12	by	by	ADP
ejpam-5377	26	13	parameters	parameter	NOUN
ejpam-5377	26	14	(	(	PUNCT
ejpam-5377	26	15	v	v	NOUN
ejpam-5377	26	16	,	,	PUNCT
ejpam-5377	26	17	k	k	NOUN
ejpam-5377	26	18	,	,	PUNCT
ejpam-5377	26	19	λ	λ	PROPN
ejpam-5377	26	20	)	)	PUNCT
ejpam-5377	26	21	,	,	PUNCT
ejpam-5377	26	22	it	it	PRON
ejpam-5377	26	23	is	be	AUX
ejpam-5377	26	24	observed	observe	VERB
ejpam-5377	26	25	that	that	SCONJ
ejpam-5377	26	26	g	g	PROPN
ejpam-5377	26	27	fixes	fix	VERB
ejpam-5377	26	28	an	an	DET
ejpam-5377	26	29	equal	equal	ADJ
ejpam-5377	26	30	number	number	NOUN
ejpam-5377	26	31	of	of	ADP
ejpam-5377	26	32	points	point	NOUN
ejpam-5377	26	33	and	and	CCONJ
ejpam-5377	26	34	blocks	block	NOUN
ejpam-5377	26	35	,	,	PUNCT
ejpam-5377	26	36	as	as	SCONJ
ejpam-5377	26	37	detailed	detailed	ADJ
ejpam-5377	26	38	in	in	ADP
ejpam-5377	26	39	[	[	X
ejpam-5377	26	40	10	10	NUM
ejpam-5377	26	41	,	,	PUNCT
ejpam-5377	26	42	theorem	theorem	VERB
ejpam-5377	26	43	3.1	3.1	NUM
ejpam-5377	26	44	,	,	PUNCT
ejpam-5377	26	45	p.78	p.78	PROPN
ejpam-5377	26	46	]	]	PUNCT
ejpam-5377	26	47	.	.	PUNCT
ejpam-5377	27	1	the	the	DET
ejpam-5377	27	2	sets	set	NOUN
ejpam-5377	27	3	of	of	ADP
ejpam-5377	27	4	these	these	DET
ejpam-5377	27	5	fixed	fix	VERB
ejpam-5377	27	6	elements	element	NOUN
ejpam-5377	27	7	we	we	PRON
ejpam-5377	27	8	denote	denote	VERB
ejpam-5377	27	9	by	by	ADP
ejpam-5377	27	10	fp(g	fp(g	NOUN
ejpam-5377	27	11	)	)	PUNCT
ejpam-5377	27	12	and	and	CCONJ
ejpam-5377	27	13	fb(g	fb(g	NOUN
ejpam-5377	27	14	)	)	PUNCT
ejpam-5377	27	15	each	each	PRON
ejpam-5377	27	16	,	,	PUNCT
ejpam-5377	27	17	and	and	CCONJ
ejpam-5377	27	18	their	their	PRON
ejpam-5377	27	19	number	number	NOUN
ejpam-5377	27	20	simply	simply	ADV
ejpam-5377	27	21	by	by	ADP
ejpam-5377	27	22	|f	|f	PROPN
ejpam-5377	27	23	(	(	PUNCT
ejpam-5377	27	24	g)|	g)|	PROPN
ejpam-5377	27	25	.	.	PUNCT
ejpam-5377	28	1	for	for	ADP
ejpam-5377	28	2	number	number	NOUN
ejpam-5377	28	3	of	of	ADP
ejpam-5377	28	4	fixed	fix	VERB
ejpam-5377	28	5	points	point	NOUN
ejpam-5377	28	6	shall	shall	AUX
ejpam-5377	28	7	we	we	PRON
ejpam-5377	28	8	use	use	VERB
ejpam-5377	28	9	the	the	DET
ejpam-5377	28	10	following	follow	VERB
ejpam-5377	28	11	upper	upper	ADJ
ejpam-5377	28	12	bound	bind	VERB
ejpam-5377	28	13	,	,	PUNCT
ejpam-5377	28	14	as	as	ADV
ejpam-5377	28	15	delineated	delineated	ADJ
ejpam-5377	28	16	in	in	ADP
ejpam-5377	28	17	[	[	X
ejpam-5377	28	18	10	10	NUM
ejpam-5377	28	19	,	,	PUNCT
ejpam-5377	28	20	corollary	corollary	ADJ
ejpam-5377	28	21	3.7	3.7	NUM
ejpam-5377	28	22	,	,	PUNCT
ejpam-5377	28	23	p.	p.	NOUN
ejpam-5377	28	24	82	82	NUM
ejpam-5377	29	1	]	]	X
ejpam-5377	29	2	:	:	PUNCT
ejpam-5377	29	3	|f	|f	PROPN
ejpam-5377	29	4	(	(	PUNCT
ejpam-5377	29	5	g)|	g)|	VERB
ejpam-5377	29	6	≤	≤	NUM
ejpam-5377	29	7	k	k	PROPN
ejpam-5377	30	1	+	+	CCONJ
ejpam-5377	30	2	√	√	PROPN
ejpam-5377	30	3	k	k	NOUN
ejpam-5377	31	1	−	−	PROPN
ejpam-5377	31	2	λ	λ	PROPN
ejpam-5377	31	3	.	.	PUNCT
ejpam-5377	31	4	(	(	PUNCT
ejpam-5377	31	5	1	1	X
ejpam-5377	31	6	)	)	PUNCT
ejpam-5377	31	7	it	it	PRON
ejpam-5377	31	8	’s	’s	AUX
ejpam-5377	31	9	established	establish	VERB
ejpam-5377	31	10	that	that	SCONJ
ejpam-5377	31	11	an	an	DET
ejpam-5377	31	12	automorphism	automorphism	NOUN
ejpam-5377	31	13	group	group	NOUN
ejpam-5377	31	14	g	g	NOUN
ejpam-5377	31	15	of	of	ADP
ejpam-5377	31	16	a	a	DET
ejpam-5377	31	17	symmetric	symmetric	ADJ
ejpam-5377	31	18	block	block	NOUN
ejpam-5377	31	19	design	design	NOUN
ejpam-5377	31	20	exhibits	exhibit	VERB
ejpam-5377	31	21	an	an	DET
ejpam-5377	31	22	equal	equal	ADJ
ejpam-5377	31	23	number	number	NOUN
ejpam-5377	31	24	of	of	ADP
ejpam-5377	31	25	orbits	orbit	NOUN
ejpam-5377	31	26	on	on	ADP
ejpam-5377	31	27	both	both	CCONJ
ejpam-5377	31	28	the	the	DET
ejpam-5377	31	29	set	set	NOUN
ejpam-5377	31	30	of	of	ADP
ejpam-5377	31	31	points	point	NOUN
ejpam-5377	31	32	p	p	NOUN
ejpam-5377	31	33	and	and	CCONJ
ejpam-5377	31	34	the	the	DET
ejpam-5377	31	35	set	set	NOUN
ejpam-5377	31	36	of	of	ADP
ejpam-5377	31	37	blocks	block	NOUN
ejpam-5377	31	38	b	b	NOUN
ejpam-5377	31	39	,	,	PUNCT
ejpam-5377	31	40	as	as	SCONJ
ejpam-5377	31	41	outlined	outline	VERB
ejpam-5377	31	42	in	in	ADP
ejpam-5377	31	43	[	[	X
ejpam-5377	31	44	10	10	NUM
ejpam-5377	31	45	,	,	PUNCT
ejpam-5377	31	46	theorem	theorem	VERB
ejpam-5377	31	47	3.3	3.3	NUM
ejpam-5377	31	48	,	,	PUNCT
ejpam-5377	31	49	p.79	p.79	ADP
ejpam-5377	31	50	]	]	PUNCT
ejpam-5377	31	51	.	.	PUNCT
ejpam-5377	32	1	this	this	DET
ejpam-5377	32	2	number	number	NOUN
ejpam-5377	32	3	is	be	AUX
ejpam-5377	32	4	denoted	denote	VERB
ejpam-5377	32	5	by	by	ADP
ejpam-5377	32	6	t.	t.	NOUN
ejpam-5377	32	7	we	we	PRON
ejpam-5377	32	8	utilize	utilize	VERB
ejpam-5377	32	9	the	the	DET
ejpam-5377	32	10	notation	notation	NOUN
ejpam-5377	32	11	and	and	CCONJ
ejpam-5377	32	12	terminology	terminology	NOUN
ejpam-5377	32	13	introduced	introduce	VERB
ejpam-5377	32	14	in	in	ADP
ejpam-5377	32	15	section	section	NOUN
ejpam-5377	32	16	1	1	NUM
ejpam-5377	32	17	of	of	ADP
ejpam-5377	32	18	[	[	X
ejpam-5377	32	19	5	5	NUM
ejpam-5377	32	20	]	]	PUNCT
ejpam-5377	32	21	,	,	PUNCT
ejpam-5377	32	22	recapitulating	recapitulate	VERB
ejpam-5377	32	23	certain	certain	ADJ
ejpam-5377	32	24	essential	essential	ADJ
ejpam-5377	32	25	relations	relation	NOUN
ejpam-5377	32	26	for	for	ADP
ejpam-5377	32	27	the	the	DET
ejpam-5377	32	28	reader	reader	NOUN
ejpam-5377	32	29	’s	’s	PART
ejpam-5377	32	30	convenience	convenience	NOUN
ejpam-5377	32	31	.	.	PUNCT
ejpam-5377	33	1	consider	consider	VERB
ejpam-5377	33	2	d	d	NOUN
ejpam-5377	33	3	as	as	ADP
ejpam-5377	33	4	a	a	DET
ejpam-5377	33	5	symmetric	symmetric	ADJ
ejpam-5377	33	6	block	block	NOUN
ejpam-5377	33	7	design	design	NOUN
ejpam-5377	33	8	characterized	characterize	VERB
ejpam-5377	33	9	by	by	ADP
ejpam-5377	33	10	parameters	parameter	NOUN
ejpam-5377	33	11	(	(	PUNCT
ejpam-5377	33	12	v	v	NOUN
ejpam-5377	33	13	,	,	PUNCT
ejpam-5377	33	14	k	k	NOUN
ejpam-5377	33	15	,	,	PUNCT
ejpam-5377	33	16	λ	λ	PROPN
ejpam-5377	33	17	)	)	PUNCT
ejpam-5377	33	18	,	,	PUNCT
ejpam-5377	33	19	with	with	ADP
ejpam-5377	33	20	g	g	NOUN
ejpam-5377	33	21	representing	represent	VERB
ejpam-5377	33	22	a	a	DET
ejpam-5377	33	23	subgroup	subgroup	NOUN
ejpam-5377	33	24	of	of	ADP
ejpam-5377	33	25	the	the	DET
ejpam-5377	33	26	automorphism	automorphism	NOUN
ejpam-5377	33	27	group	group	NOUN
ejpam-5377	33	28	aut(d	aut(d	PROPN
ejpam-5377	33	29	)	)	PUNCT
ejpam-5377	33	30	.	.	PUNCT
ejpam-5377	34	1	the	the	DET
ejpam-5377	34	2	point	point	NOUN
ejpam-5377	34	3	orbits	orbit	NOUN
ejpam-5377	34	4	of	of	ADP
ejpam-5377	34	5	g	g	PROPN
ejpam-5377	34	6	on	on	ADP
ejpam-5377	34	7	p	p	NOUN
ejpam-5377	34	8	are	be	AUX
ejpam-5377	34	9	denoted	denote	VERB
ejpam-5377	34	10	as	as	ADP
ejpam-5377	34	11	p1,p2	p1,p2	PROPN
ejpam-5377	34	12	,	,	PUNCT
ejpam-5377	34	13	.	.	PUNCT
ejpam-5377	34	14	.	.	PUNCT
ejpam-5377	35	1	.pt	.pt	PROPN
ejpam-5377	35	2	,	,	PUNCT
ejpam-5377	35	3	and	and	CCONJ
ejpam-5377	35	4	the	the	DET
ejpam-5377	35	5	line	line	NOUN
ejpam-5377	35	6	orbits	orbit	NOUN
ejpam-5377	35	7	of	of	ADP
ejpam-5377	35	8	g	g	PROPN
ejpam-5377	35	9	on	on	ADP
ejpam-5377	35	10	b	b	NOUN
ejpam-5377	35	11	as	as	ADP
ejpam-5377	35	12	b1,b2	b1,b2	PROPN
ejpam-5377	35	13	,	,	PUNCT
ejpam-5377	35	14	.	.	PUNCT
ejpam-5377	35	15	.	.	PUNCT
ejpam-5377	36	1	.bt	.bt	PROPN
ejpam-5377	36	2	.	.	PUNCT
ejpam-5377	37	1	let	let	VERB
ejpam-5377	37	2	|pr|	|pr|	PROPN
ejpam-5377	37	3	=	=	PUNCT
ejpam-5377	37	4	ωr	ωr	ADJ
ejpam-5377	37	5	and	and	CCONJ
ejpam-5377	37	6	|bi|	|bi|	NUM
ejpam-5377	37	7	=	=	SYM
ejpam-5377	37	8	ωi	ωi	PROPN
ejpam-5377	37	9	.	.	PUNCT
ejpam-5377	37	10	clearly	clearly	ADV
ejpam-5377	37	11	,	,	PUNCT
ejpam-5377	37	12	t∑	t∑	ADJ
ejpam-5377	37	13	r=1	r=1	NOUN
ejpam-5377	37	14	ωr	ωr	X
ejpam-5377	37	15	=	=	SYM
ejpam-5377	37	16	t∑	t∑	PROPN
ejpam-5377	37	17	i=1	i=1	X
ejpam-5377	37	18	ωi	ωi	X
ejpam-5377	37	19	=	=	PUNCT
ejpam-5377	37	20	v.	v.	PROPN
ejpam-5377	37	21	(	(	PUNCT
ejpam-5377	37	22	2	2	X
ejpam-5377	37	23	)	)	PUNCT
ejpam-5377	37	24	consider	consider	VERB
ejpam-5377	37	25	γir	γir	CCONJ
ejpam-5377	37	26	as	as	ADP
ejpam-5377	37	27	the	the	DET
ejpam-5377	37	28	number	number	NOUN
ejpam-5377	37	29	of	of	ADP
ejpam-5377	37	30	points	point	NOUN
ejpam-5377	37	31	from	from	ADP
ejpam-5377	37	32	pr	pr	NOUN
ejpam-5377	37	33	situated	situate	VERB
ejpam-5377	37	34	on	on	ADP
ejpam-5377	37	35	a	a	DET
ejpam-5377	37	36	block	block	NOUN
ejpam-5377	37	37	from	from	ADP
ejpam-5377	37	38	bi	bi	NOUN
ejpam-5377	37	39	;	;	PUNCT
ejpam-5377	37	40	evidently	evidently	ADV
ejpam-5377	37	41	,	,	PUNCT
ejpam-5377	37	42	this	this	DET
ejpam-5377	37	43	number	number	NOUN
ejpam-5377	37	44	remains	remain	VERB
ejpam-5377	37	45	invariant	invariant	ADJ
ejpam-5377	37	46	regardless	regardless	ADV
ejpam-5377	37	47	of	of	ADP
ejpam-5377	37	48	the	the	DET
ejpam-5377	37	49	chosen	choose	VERB
ejpam-5377	37	50	block	block	NOUN
ejpam-5377	37	51	.	.	PUNCT
ejpam-5377	38	1	similarly	similarly	ADV
ejpam-5377	38	2	,	,	PUNCT
ejpam-5377	38	3	let	let	VERB
ejpam-5377	38	4	γjs	γjs	NOUN
ejpam-5377	38	5	be	be	AUX
ejpam-5377	38	6	the	the	DET
ejpam-5377	38	7	number	number	NOUN
ejpam-5377	38	8	of	of	ADP
ejpam-5377	38	9	blocks	block	NOUN
ejpam-5377	38	10	from	from	ADP
ejpam-5377	38	11	bj	bj	NOUN
ejpam-5377	38	12	intersecting	intersect	VERB
ejpam-5377	38	13	a	a	DET
ejpam-5377	38	14	point	point	NOUN
ejpam-5377	38	15	from	from	ADP
ejpam-5377	38	16	ps	ps	PROPN
ejpam-5377	38	17	.	.	PUNCT
ejpam-5377	39	1	it	it	PRON
ejpam-5377	39	2	is	be	AUX
ejpam-5377	39	3	evident	evident	ADJ
ejpam-5377	39	4	that	that	SCONJ
ejpam-5377	39	5	,	,	PUNCT
ejpam-5377	39	6	t∑	t∑	ADV
ejpam-5377	39	7	r=1	r=1	VERB
ejpam-5377	39	8	γir	γir	ADP
ejpam-5377	39	9	=	=	SYM
ejpam-5377	39	10	k	k	PROPN
ejpam-5377	39	11	and	and	CCONJ
ejpam-5377	39	12	t∑	t∑	PROPN
ejpam-5377	39	13	j=1	j=1	ADJ
ejpam-5377	39	14	γjs	γjs	PROPN
ejpam-5377	39	15	=	=	PROPN
ejpam-5377	39	16	k.	k.	PROPN
ejpam-5377	39	17	(	(	PUNCT
ejpam-5377	39	18	3	3	NUM
ejpam-5377	39	19	)	)	PUNCT
ejpam-5377	39	20	by	by	ADP
ejpam-5377	39	21	[	[	X
ejpam-5377	39	22	3	3	NUM
ejpam-5377	39	23	,	,	PUNCT
ejpam-5377	39	24	lemma	lemma	PROPN
ejpam-5377	39	25	5.3.1	5.3.1	PROPN
ejpam-5377	39	26	.	.	PUNCT
ejpam-5377	39	27	p.221	p.221	PROPN
ejpam-5377	39	28	]	]	PUNCT
ejpam-5377	39	29	,	,	PUNCT
ejpam-5377	39	30	the	the	DET
ejpam-5377	39	31	division	division	NOUN
ejpam-5377	39	32	of	of	ADP
ejpam-5377	39	33	both	both	CCONJ
ejpam-5377	39	34	the	the	DET
ejpam-5377	39	35	point	point	NOUN
ejpam-5377	39	36	set	set	VERB
ejpam-5377	39	37	p	p	NOUN
ejpam-5377	39	38	and	and	CCONJ
ejpam-5377	39	39	the	the	DET
ejpam-5377	39	40	block	block	NOUN
ejpam-5377	39	41	set	set	VERB
ejpam-5377	39	42	b	b	PROPN
ejpam-5377	39	43	constitutes	constitute	VERB
ejpam-5377	39	44	a	a	DET
ejpam-5377	39	45	tactical	tactical	ADJ
ejpam-5377	39	46	decomposition	decomposition	NOUN
ejpam-5377	39	47	of	of	ADP
ejpam-5377	39	48	design	design	NOUN
ejpam-5377	39	49	d	d	PROPN
ejpam-5377	39	50	as	as	SCONJ
ejpam-5377	39	51	defined	define	VERB
ejpam-5377	39	52	in	in	ADP
ejpam-5377	39	53	[	[	X
ejpam-5377	39	54	3	3	NUM
ejpam-5377	39	55	,	,	PUNCT
ejpam-5377	39	56	p.210	p.210	NOUN
ejpam-5377	39	57	]	]	PUNCT
ejpam-5377	39	58	.	.	PUNCT
ejpam-5377	40	1	consequently	consequently	ADV
ejpam-5377	40	2	,	,	PUNCT
ejpam-5377	40	3	the	the	DET
ejpam-5377	40	4	ensuing	ensue	VERB
ejpam-5377	40	5	equations	equation	NOUN
ejpam-5377	40	6	are	be	AUX
ejpam-5377	40	7	valid	valid	ADJ
ejpam-5377	40	8	:	:	PUNCT
ejpam-5377	40	9	ωi	ωi	PUNCT
ejpam-5377	40	10	·	·	PUNCT
ejpam-5377	40	11	γir	γir	CCONJ
ejpam-5377	40	12	=	=	SYM
ejpam-5377	40	13	ωr	ωr	X
ejpam-5377	40	14	·	·	PUNCT
ejpam-5377	40	15	γir	γir	CCONJ
ejpam-5377	40	16	,	,	PUNCT
ejpam-5377	40	17	(	(	PUNCT
ejpam-5377	40	18	4	4	X
ejpam-5377	40	19	)	)	PUNCT
ejpam-5377	40	20	m.	m.	NOUN
ejpam-5377	40	21	gashi	gashi	PROPN
ejpam-5377	40	22	/	/	SYM
ejpam-5377	40	23	eur	eur	PROPN
ejpam-5377	40	24	.	.	PUNCT
ejpam-5377	41	1	j.	j.	PROPN
ejpam-5377	41	2	pure	pure	PROPN
ejpam-5377	41	3	appl	appl	PROPN
ejpam-5377	41	4	.	.	PROPN
ejpam-5377	41	5	math	math	PROPN
ejpam-5377	41	6	,	,	PUNCT
ejpam-5377	41	7	17	17	NUM
ejpam-5377	41	8	(	(	PUNCT
ejpam-5377	41	9	4	4	NUM
ejpam-5377	41	10	)	)	PUNCT
ejpam-5377	41	11	(	(	PUNCT
ejpam-5377	41	12	2024	2024	NUM
ejpam-5377	41	13	)	)	PUNCT
ejpam-5377	41	14	,	,	PUNCT
ejpam-5377	41	15	2720	2720	NUM
ejpam-5377	41	16	-	-	SYM
ejpam-5377	41	17	2725	2725	NUM
ejpam-5377	41	18	2722	2722	NUM
ejpam-5377	41	19	t∑	t∑	NOUN
ejpam-5377	41	20	r=1	r=1	NOUN
ejpam-5377	41	21	γirγjr	γirγjr	NOUN
ejpam-5377	41	22	=	=	SYM
ejpam-5377	41	23	λωj	λωj	PROPN
ejpam-5377	42	1	+	+	PUNCT
ejpam-5377	42	2	δij(k	δij(k	PROPN
ejpam-5377	42	3	−	−	PROPN
ejpam-5377	42	4	λ	λ	NOUN
ejpam-5377	42	5	)	)	PUNCT
ejpam-5377	42	6	,	,	PUNCT
ejpam-5377	42	7	(	(	PUNCT
ejpam-5377	42	8	5	5	NUM
ejpam-5377	42	9	)	)	PUNCT
ejpam-5377	42	10	t∑	t∑	PROPN
ejpam-5377	43	1	i=1	i=1	PROPN
ejpam-5377	43	2	γirγis	γirγis	PROPN
ejpam-5377	44	1	=	=	PUNCT
ejpam-5377	44	2	λωs	λωs	PROPN
ejpam-5377	44	3	+	+	NUM
ejpam-5377	44	4	δrs(k	δrs(k	PROPN
ejpam-5377	44	5	−	−	PROPN
ejpam-5377	44	6	λ	λ	NOUN
ejpam-5377	44	7	)	)	PUNCT
ejpam-5377	44	8	,	,	PUNCT
ejpam-5377	44	9	(	(	PUNCT
ejpam-5377	44	10	6	6	X
ejpam-5377	44	11	)	)	PUNCT
ejpam-5377	44	12	where	where	SCONJ
ejpam-5377	44	13	δij	δij	NOUN
ejpam-5377	44	14	,	,	PUNCT
ejpam-5377	44	15	δrs	δr	VERB
ejpam-5377	44	16	are	be	AUX
ejpam-5377	44	17	the	the	DET
ejpam-5377	44	18	kronecker	kronecker	NOUN
ejpam-5377	44	19	symbols	symbol	NOUN
ejpam-5377	44	20	.	.	PUNCT
ejpam-5377	45	1	for	for	ADP
ejpam-5377	45	2	verification	verification	NOUN
ejpam-5377	45	3	of	of	ADP
ejpam-5377	45	4	these	these	DET
ejpam-5377	45	5	equations	equation	NOUN
ejpam-5377	45	6	,	,	PUNCT
ejpam-5377	45	7	readers	reader	NOUN
ejpam-5377	45	8	are	be	AUX
ejpam-5377	45	9	encouraged	encourage	VERB
ejpam-5377	45	10	to	to	PART
ejpam-5377	45	11	consult	consult	VERB
ejpam-5377	45	12	[	[	X
ejpam-5377	45	13	3	3	X
ejpam-5377	45	14	]	]	PUNCT
ejpam-5377	45	15	and	and	CCONJ
ejpam-5377	45	16	[	[	X
ejpam-5377	45	17	5	5	NUM
ejpam-5377	45	18	]	]	PUNCT
ejpam-5377	45	19	.	.	PUNCT
ejpam-5377	46	1	combining	combine	VERB
ejpam-5377	46	2	equation	equation	NOUN
ejpam-5377	46	3	(	(	PUNCT
ejpam-5377	46	4	5	5	NUM
ejpam-5377	46	5	)	)	PUNCT
ejpam-5377	46	6	with	with	ADP
ejpam-5377	46	7	(	(	PUNCT
ejpam-5377	46	8	4	4	X
ejpam-5377	46	9	)	)	PUNCT
ejpam-5377	46	10	results	result	NOUN
ejpam-5377	46	11	in	in	ADP
ejpam-5377	46	12	t∑	t∑	ADJ
ejpam-5377	46	13	r=1	r=1	NOUN
ejpam-5377	46	14	ωj	ωj	ADP
ejpam-5377	46	15	ωr	ωr	NUM
ejpam-5377	46	16	γirγjr	γirγjr	NOUN
ejpam-5377	46	17	=	=	PUNCT
ejpam-5377	47	1	λωj	λωj	PROPN
ejpam-5377	47	2	+	+	PUNCT
ejpam-5377	47	3	δij(k	δij(k	PROPN
ejpam-5377	47	4	−	−	PROPN
ejpam-5377	47	5	λ	λ	NOUN
ejpam-5377	47	6	)	)	PUNCT
ejpam-5377	47	7	.	.	PUNCT
ejpam-5377	48	1	(	(	PUNCT
ejpam-5377	48	2	7	7	X
ejpam-5377	48	3	)	)	PUNCT
ejpam-5377	48	4	definition	definition	NOUN
ejpam-5377	48	5	1	1	NUM
ejpam-5377	48	6	.	.	PUNCT
ejpam-5377	49	1	we	we	PRON
ejpam-5377	49	2	denote	denote	VERB
ejpam-5377	49	3	[	[	X
ejpam-5377	49	4	li	li	X
ejpam-5377	49	5	,	,	PUNCT
ejpam-5377	49	6	lj	lj	PROPN
ejpam-5377	49	7	]	]	PUNCT
ejpam-5377	50	1	=	=	PUNCT
ejpam-5377	50	2	t∑	t∑	PUNCT
ejpam-5377	50	3	r=1	r=1	NOUN
ejpam-5377	50	4	ωj	ωj	ADP
ejpam-5377	50	5	ωr	ωr	ADP
ejpam-5377	50	6	γirγjr	γirγjr	NOUN
ejpam-5377	50	7	,	,	PUNCT
ejpam-5377	50	8	1	1	NUM
ejpam-5377	50	9	≤	≤	PUNCT
ejpam-5377	50	10	i	i	PRON
ejpam-5377	50	11	,	,	PUNCT
ejpam-5377	50	12	j	j	PROPN
ejpam-5377	50	13	≤	≤	PROPN
ejpam-5377	50	14	t	t	PROPN
ejpam-5377	50	15	and	and	CCONJ
ejpam-5377	50	16	term	term	VERB
ejpam-5377	50	17	these	these	DET
ejpam-5377	50	18	expressions	expression	NOUN
ejpam-5377	50	19	as	as	ADP
ejpam-5377	50	20	the	the	DET
ejpam-5377	50	21	orbit	orbit	NOUN
ejpam-5377	50	22	products	product	NOUN
ejpam-5377	50	23	.	.	PUNCT
ejpam-5377	51	1	the	the	DET
ejpam-5377	51	2	(	(	PUNCT
ejpam-5377	51	3	t×	t×	NOUN
ejpam-5377	51	4	t)-matrix	t)-matrix	NOUN
ejpam-5377	51	5	(	(	PUNCT
ejpam-5377	51	6	γir	γir	ADV
ejpam-5377	51	7	)	)	PUNCT
ejpam-5377	51	8	is	be	AUX
ejpam-5377	51	9	called	call	VERB
ejpam-5377	51	10	the	the	DET
ejpam-5377	51	11	orbit	orbit	NOUN
ejpam-5377	51	12	structure	structure	NOUN
ejpam-5377	51	13	of	of	ADP
ejpam-5377	51	14	the	the	DET
ejpam-5377	51	15	block	block	NOUN
ejpam-5377	51	16	design	design	PROPN
ejpam-5377	51	17	d.	d.	PROPN
ejpam-5377	51	18	an	an	DET
ejpam-5377	51	19	automorphism	automorphism	NOUN
ejpam-5377	51	20	of	of	ADP
ejpam-5377	51	21	an	an	DET
ejpam-5377	51	22	orbit	orbit	NOUN
ejpam-5377	51	23	structure	structure	NOUN
ejpam-5377	51	24	entails	entail	VERB
ejpam-5377	51	25	a	a	DET
ejpam-5377	51	26	permutation	permutation	NOUN
ejpam-5377	51	27	of	of	ADP
ejpam-5377	51	28	rows	row	NOUN
ejpam-5377	51	29	followed	follow	VERB
ejpam-5377	51	30	by	by	ADP
ejpam-5377	51	31	a	a	DET
ejpam-5377	51	32	permutation	permutation	NOUN
ejpam-5377	51	33	of	of	ADP
ejpam-5377	51	34	columns	column	NOUN
ejpam-5377	51	35	,	,	PUNCT
ejpam-5377	51	36	maintaining	maintain	VERB
ejpam-5377	51	37	the	the	DET
ejpam-5377	51	38	matrix	matrix	NOUN
ejpam-5377	51	39	unchanged	unchanged	ADJ
ejpam-5377	51	40	.	.	PUNCT
ejpam-5377	52	1	it	it	PRON
ejpam-5377	52	2	’s	’	VERB
ejpam-5377	52	3	evident	evident	ADJ
ejpam-5377	52	4	that	that	SCONJ
ejpam-5377	52	5	the	the	DET
ejpam-5377	52	6	collection	collection	NOUN
ejpam-5377	52	7	of	of	ADP
ejpam-5377	52	8	all	all	DET
ejpam-5377	52	9	such	such	ADJ
ejpam-5377	52	10	automorphisms	automorphism	NOUN
ejpam-5377	52	11	forms	form	VERB
ejpam-5377	52	12	a	a	DET
ejpam-5377	52	13	group	group	NOUN
ejpam-5377	52	14	,	,	PUNCT
ejpam-5377	52	15	referred	refer	VERB
ejpam-5377	52	16	to	to	ADP
ejpam-5377	52	17	as	as	ADP
ejpam-5377	52	18	the	the	DET
ejpam-5377	52	19	automorphism	automorphism	NOUN
ejpam-5377	52	20	group	group	NOUN
ejpam-5377	52	21	of	of	ADP
ejpam-5377	52	22	that	that	DET
ejpam-5377	52	23	orbit	orbit	NOUN
ejpam-5377	52	24	structure	structure	NOUN
ejpam-5377	52	25	.	.	PUNCT
ejpam-5377	53	1	the	the	DET
ejpam-5377	53	2	initial	initial	ADJ
ejpam-5377	53	3	step	step	NOUN
ejpam-5377	53	4	in	in	ADP
ejpam-5377	53	5	constructing	construct	VERB
ejpam-5377	53	6	a	a	DET
ejpam-5377	53	7	design	design	NOUN
ejpam-5377	53	8	is	be	AUX
ejpam-5377	53	9	to	to	PART
ejpam-5377	53	10	identify	identify	VERB
ejpam-5377	53	11	all	all	DET
ejpam-5377	53	12	potential	potential	ADJ
ejpam-5377	53	13	orbit	orbit	NOUN
ejpam-5377	53	14	structures	structure	NOUN
ejpam-5377	53	15	.	.	PUNCT
ejpam-5377	54	1	the	the	DET
ejpam-5377	54	2	subsequent	subsequent	ADJ
ejpam-5377	54	3	step	step	NOUN
ejpam-5377	54	4	,	,	PUNCT
ejpam-5377	54	5	typically	typically	ADV
ejpam-5377	54	6	referred	refer	VERB
ejpam-5377	54	7	to	to	ADP
ejpam-5377	54	8	as	as	ADP
ejpam-5377	54	9	indexing	indexing	NOUN
ejpam-5377	54	10	,	,	PUNCT
ejpam-5377	54	11	involves	involve	VERB
ejpam-5377	54	12	specifying	specify	VERB
ejpam-5377	54	13	which	which	PRON
ejpam-5377	54	14	γir	γir	ADP
ejpam-5377	54	15	points	point	NOUN
ejpam-5377	54	16	of	of	ADP
ejpam-5377	54	17	the	the	DET
ejpam-5377	54	18	orbit	orbit	NOUN
ejpam-5377	54	19	pr	pr	NOUN
ejpam-5377	54	20	lie	lie	VERB
ejpam-5377	54	21	on	on	ADP
ejpam-5377	54	22	the	the	DET
ejpam-5377	54	23	blocks	block	NOUN
ejpam-5377	54	24	of	of	ADP
ejpam-5377	54	25	the	the	DET
ejpam-5377	54	26	block	block	NOUN
ejpam-5377	54	27	orbit	orbit	NOUN
ejpam-5377	54	28	bi	bi	NOUN
ejpam-5377	54	29	for	for	ADP
ejpam-5377	54	30	each	each	DET
ejpam-5377	54	31	coefficient	coefficient	NOUN
ejpam-5377	54	32	γir	γir	ADP
ejpam-5377	54	33	of	of	ADP
ejpam-5377	54	34	the	the	DET
ejpam-5377	54	35	orbit	orbit	NOUN
ejpam-5377	54	36	matrix	matrix	NOUN
ejpam-5377	54	37	.	.	PUNCT
ejpam-5377	55	1	naturally	naturally	ADV
ejpam-5377	55	2	,	,	PUNCT
ejpam-5377	55	3	this	this	DET
ejpam-5377	55	4	process	process	NOUN
ejpam-5377	55	5	only	only	ADV
ejpam-5377	55	6	needs	need	VERB
ejpam-5377	55	7	to	to	PART
ejpam-5377	55	8	be	be	AUX
ejpam-5377	55	9	performed	perform	VERB
ejpam-5377	55	10	for	for	ADP
ejpam-5377	55	11	a	a	DET
ejpam-5377	55	12	representative	representative	NOUN
ejpam-5377	55	13	of	of	ADP
ejpam-5377	55	14	each	each	DET
ejpam-5377	55	15	block	block	NOUN
ejpam-5377	55	16	orbit	orbit	NOUN
ejpam-5377	55	17	,	,	PUNCT
ejpam-5377	55	18	since	since	SCONJ
ejpam-5377	55	19	the	the	DET
ejpam-5377	55	20	other	other	ADJ
ejpam-5377	55	21	blocks	block	NOUN
ejpam-5377	55	22	in	in	ADP
ejpam-5377	55	23	that	that	DET
ejpam-5377	55	24	orbit	orbit	NOUN
ejpam-5377	55	25	can	can	AUX
ejpam-5377	55	26	be	be	AUX
ejpam-5377	55	27	generated	generate	VERB
ejpam-5377	55	28	by	by	ADP
ejpam-5377	55	29	producing	produce	VERB
ejpam-5377	55	30	all	all	DET
ejpam-5377	55	31	g	g	NOUN
ejpam-5377	55	32	-	-	PUNCT
ejpam-5377	55	33	images	image	NOUN
ejpam-5377	55	34	of	of	ADP
ejpam-5377	55	35	the	the	DET
ejpam-5377	55	36	selected	select	VERB
ejpam-5377	55	37	representative	representative	NOUN
ejpam-5377	55	38	.	.	PUNCT
ejpam-5377	56	1	2	2	X
ejpam-5377	56	2	.	.	X
ejpam-5377	56	3	main	main	ADJ
ejpam-5377	56	4	results	result	NOUN
ejpam-5377	56	5	let	let	VERB
ejpam-5377	56	6	d	d	PART
ejpam-5377	56	7	represent	represent	VERB
ejpam-5377	56	8	the	the	DET
ejpam-5377	56	9	symmetric	symmetric	ADJ
ejpam-5377	56	10	block	block	NOUN
ejpam-5377	56	11	design	design	NOUN
ejpam-5377	56	12	with	with	ADP
ejpam-5377	56	13	parameters	parameter	NOUN
ejpam-5377	56	14	(	(	PUNCT
ejpam-5377	56	15	220	220	NUM
ejpam-5377	56	16	,	,	PUNCT
ejpam-5377	56	17	73	73	NUM
ejpam-5377	56	18	,	,	PUNCT
ejpam-5377	56	19	24	24	NUM
ejpam-5377	56	20	)	)	PUNCT
ejpam-5377	56	21	.	.	PUNCT
ejpam-5377	57	1	given	give	VERB
ejpam-5377	57	2	that	that	PRON
ejpam-5377	57	3	v	v	NOUN
ejpam-5377	57	4	=	=	SYM
ejpam-5377	57	5	1	1	NUM
ejpam-5377	57	6	+	+	NUM
ejpam-5377	57	7	3	3	NUM
ejpam-5377	57	8	·	·	SYM
ejpam-5377	57	9	73	73	NUM
ejpam-5377	57	10	,	,	PUNCT
ejpam-5377	57	11	to	to	PART
ejpam-5377	57	12	construct	construct	VERB
ejpam-5377	57	13	the	the	DET
ejpam-5377	57	14	symmetric	symmetric	ADJ
ejpam-5377	57	15	block	block	NOUN
ejpam-5377	57	16	design	design	NOUN
ejpam-5377	57	17	d	d	NOUN
ejpam-5377	57	18	,	,	PUNCT
ejpam-5377	57	19	we	we	PRON
ejpam-5377	57	20	employ	employ	VERB
ejpam-5377	57	21	the	the	DET
ejpam-5377	57	22	cyclic	cyclic	ADJ
ejpam-5377	57	23	group	group	NOUN
ejpam-5377	57	24	g	g	PROPN
ejpam-5377	57	25	=	=	SYM
ejpam-5377	57	26	⟨ρ|ρ73	⟨ρ|ρ73	X
ejpam-5377	57	27	=	=	NOUN
ejpam-5377	57	28	1⟩	1⟩	NUM
ejpam-5377	57	29	of	of	ADP
ejpam-5377	57	30	order	order	NOUN
ejpam-5377	57	31	73	73	NUM
ejpam-5377	57	32	as	as	ADP
ejpam-5377	57	33	a	a	DET
ejpam-5377	57	34	collineation	collineation	NOUN
ejpam-5377	57	35	group	group	NOUN
ejpam-5377	57	36	.	.	PUNCT
ejpam-5377	58	1	lemma	lemma	PROPN
ejpam-5377	58	2	1	1	X
ejpam-5377	58	3	.	.	PUNCT
ejpam-5377	59	1	let	let	VERB
ejpam-5377	59	2	ρ	ρ	NOUN
ejpam-5377	59	3	be	be	AUX
ejpam-5377	59	4	an	an	DET
ejpam-5377	59	5	element	element	NOUN
ejpam-5377	59	6	of	of	ADP
ejpam-5377	59	7	g	g	NOUN
ejpam-5377	59	8	with	with	ADP
ejpam-5377	59	9	o(ρ	o(ρ	PROPN
ejpam-5377	59	10	)	)	PUNCT
ejpam-5377	59	11	=	=	PUNCT
ejpam-5377	60	1	73	73	NUM
ejpam-5377	60	2	.	.	PUNCT
ejpam-5377	61	1	then	then	ADV
ejpam-5377	61	2	⟨ρ⟩	⟨ρ⟩	NOUN
ejpam-5377	61	3	fixes	fix	VERB
ejpam-5377	61	4	exactly	exactly	ADV
ejpam-5377	61	5	one	one	NUM
ejpam-5377	61	6	point	point	NOUN
ejpam-5377	61	7	and	and	CCONJ
ejpam-5377	61	8	one	one	NUM
ejpam-5377	61	9	block	block	NOUN
ejpam-5377	61	10	.	.	PUNCT
ejpam-5377	62	1	proof	proof	NOUN
ejpam-5377	62	2	.	.	PUNCT
ejpam-5377	63	1	according	accord	VERB
ejpam-5377	63	2	to	to	ADP
ejpam-5377	63	3	[	[	X
ejpam-5377	63	4	10	10	NUM
ejpam-5377	63	5	,	,	PUNCT
ejpam-5377	63	6	theorem	theorem	VERB
ejpam-5377	63	7	3.1	3.1	NUM
ejpam-5377	63	8	]	]	PUNCT
ejpam-5377	63	9	,	,	PUNCT
ejpam-5377	63	10	the	the	DET
ejpam-5377	63	11	group	group	NOUN
ejpam-5377	63	12	⟨ρ⟩	⟨ρ⟩	PROPN
ejpam-5377	63	13	fixes	fix	NOUN
ejpam-5377	63	14	the	the	DET
ejpam-5377	63	15	same	same	ADJ
ejpam-5377	63	16	number	number	NOUN
ejpam-5377	63	17	of	of	ADP
ejpam-5377	63	18	points	point	NOUN
ejpam-5377	63	19	and	and	CCONJ
ejpam-5377	63	20	blocks	block	NOUN
ejpam-5377	63	21	.	.	PUNCT
ejpam-5377	64	1	let	let	VERB
ejpam-5377	64	2	this	this	DET
ejpam-5377	64	3	number	number	NOUN
ejpam-5377	64	4	be	be	AUX
ejpam-5377	64	5	denoted	denote	VERB
ejpam-5377	64	6	by	by	ADP
ejpam-5377	64	7	f	f	PROPN
ejpam-5377	64	8	.	.	PUNCT
ejpam-5377	65	1	clearly	clearly	ADV
ejpam-5377	65	2	,	,	PUNCT
ejpam-5377	65	3	f	f	PROPN
ejpam-5377	65	4	≡	≡	PROPN
ejpam-5377	65	5	220(mod	220(mod	NUM
ejpam-5377	65	6	73	73	NUM
ejpam-5377	65	7	)	)	PUNCT
ejpam-5377	65	8	,	,	PUNCT
ejpam-5377	65	9	which	which	PRON
ejpam-5377	65	10	means	mean	VERB
ejpam-5377	65	11	f	f	PROPN
ejpam-5377	65	12	≡	≡	PROPN
ejpam-5377	65	13	1(mod	1(mod	NUM
ejpam-5377	65	14	73	73	NUM
ejpam-5377	65	15	)	)	PUNCT
ejpam-5377	65	16	.	.	PUNCT
ejpam-5377	66	1	the	the	DET
ejpam-5377	66	2	upper	upper	ADJ
ejpam-5377	66	3	bound	bound	ADJ
ejpam-5377	66	4	(	(	PUNCT
ejpam-5377	66	5	1	1	NUM
ejpam-5377	66	6	)	)	PUNCT
ejpam-5377	66	7	for	for	ADP
ejpam-5377	66	8	the	the	DET
ejpam-5377	66	9	number	number	NOUN
ejpam-5377	66	10	of	of	ADP
ejpam-5377	66	11	fixed	fix	VERB
ejpam-5377	66	12	points	point	NOUN
ejpam-5377	66	13	gives	give	VERB
ejpam-5377	66	14	f	f	PROPN
ejpam-5377	66	15	∈	∈	PROPN
ejpam-5377	66	16	{	{	PUNCT
ejpam-5377	66	17	1	1	NUM
ejpam-5377	66	18	,	,	PUNCT
ejpam-5377	66	19	74	74	NUM
ejpam-5377	66	20	}	}	PUNCT
ejpam-5377	66	21	.	.	PUNCT
ejpam-5377	67	1	m.	m.	PROPN
ejpam-5377	67	2	gashi	gashi	PROPN
ejpam-5377	67	3	/	/	SYM
ejpam-5377	67	4	eur	eur	PROPN
ejpam-5377	67	5	.	.	PUNCT
ejpam-5377	68	1	j.	j.	PROPN
ejpam-5377	68	2	pure	pure	PROPN
ejpam-5377	68	3	appl	appl	PROPN
ejpam-5377	68	4	.	.	PROPN
ejpam-5377	68	5	math	math	PROPN
ejpam-5377	68	6	,	,	PUNCT
ejpam-5377	68	7	17	17	NUM
ejpam-5377	68	8	(	(	PUNCT
ejpam-5377	68	9	4	4	NUM
ejpam-5377	68	10	)	)	PUNCT
ejpam-5377	68	11	(	(	PUNCT
ejpam-5377	68	12	2024	2024	NUM
ejpam-5377	68	13	)	)	PUNCT
ejpam-5377	68	14	,	,	PUNCT
ejpam-5377	68	15	2720	2720	NUM
ejpam-5377	68	16	-	-	SYM
ejpam-5377	68	17	2725	2725	NUM
ejpam-5377	68	18	2723	2723	NUM
ejpam-5377	68	19	since	since	SCONJ
ejpam-5377	68	20	o(ρ	o(ρ	PROPN
ejpam-5377	68	21	)	)	PUNCT
ejpam-5377	68	22	>	>	X
ejpam-5377	69	1	λ	λ	PROPN
ejpam-5377	69	2	,	,	PUNCT
ejpam-5377	69	3	applying	apply	VERB
ejpam-5377	69	4	a	a	DET
ejpam-5377	69	5	result	result	NOUN
ejpam-5377	69	6	from	from	ADP
ejpam-5377	69	7	m.	m.	NOUN
ejpam-5377	69	8	aschbacher	aschbacher	NOUN
ejpam-5377	69	9	[	[	X
ejpam-5377	69	10	1	1	NUM
ejpam-5377	69	11	,	,	PUNCT
ejpam-5377	69	12	lemma	lemma	PROPN
ejpam-5377	69	13	2.6	2.6	NUM
ejpam-5377	69	14	,	,	PUNCT
ejpam-5377	69	15	p.274	p.274	NUM
ejpam-5377	69	16	]	]	PUNCT
ejpam-5377	69	17	necessitates	necessitate	VERB
ejpam-5377	69	18	the	the	DET
ejpam-5377	69	19	fixed	fix	VERB
ejpam-5377	69	20	structure	structure	NOUN
ejpam-5377	69	21	being	be	AUX
ejpam-5377	69	22	a	a	DET
ejpam-5377	69	23	subdesign	subdesign	NOUN
ejpam-5377	69	24	of	of	ADP
ejpam-5377	69	25	d.	d.	PROPN
ejpam-5377	69	26	however	however	ADV
ejpam-5377	69	27	,	,	PUNCT
ejpam-5377	69	28	there	there	PRON
ejpam-5377	69	29	is	be	VERB
ejpam-5377	69	30	no	no	DET
ejpam-5377	69	31	symmetric	symmetric	ADJ
ejpam-5377	69	32	block	block	NOUN
ejpam-5377	69	33	design	design	NOUN
ejpam-5377	69	34	with	with	ADP
ejpam-5377	69	35	v	v	NOUN
ejpam-5377	69	36	=	=	SYM
ejpam-5377	69	37	74	74	NUM
ejpam-5377	69	38	and	and	CCONJ
ejpam-5377	69	39	λ	λ	X
ejpam-5377	69	40	=	=	NOUN
ejpam-5377	69	41	24	24	NUM
ejpam-5377	69	42	(	(	PUNCT
ejpam-5377	69	43	no	no	DET
ejpam-5377	69	44	k	k	PROPN
ejpam-5377	69	45	∈	∈	PROPN
ejpam-5377	69	46	in	in	ADP
ejpam-5377	69	47	satisfies	satisfie	NOUN
ejpam-5377	69	48	24	24	NUM
ejpam-5377	69	49	·	·	PUNCT
ejpam-5377	69	50	(	(	PUNCT
ejpam-5377	69	51	v	v	NOUN
ejpam-5377	69	52	−	−	NOUN
ejpam-5377	69	53	1	1	NUM
ejpam-5377	69	54	)	)	PUNCT
ejpam-5377	69	55	=	=	SYM
ejpam-5377	70	1	k	k	X
ejpam-5377	70	2	·	·	PUNCT
ejpam-5377	70	3	(	(	PUNCT
ejpam-5377	70	4	k	k	X
ejpam-5377	70	5	−	−	PROPN
ejpam-5377	70	6	1	1	NUM
ejpam-5377	70	7	)	)	PUNCT
ejpam-5377	70	8	)	)	PUNCT
ejpam-5377	70	9	.	.	PUNCT
ejpam-5377	71	1	therefore	therefore	ADV
ejpam-5377	71	2	,	,	PUNCT
ejpam-5377	71	3	f	f	PROPN
ejpam-5377	71	4	must	must	AUX
ejpam-5377	71	5	be	be	AUX
ejpam-5377	71	6	equal	equal	ADJ
ejpam-5377	71	7	to	to	ADP
ejpam-5377	71	8	1	1	NUM
ejpam-5377	71	9	.	.	PUNCT
ejpam-5377	72	1	we	we	PRON
ejpam-5377	72	2	set	set	VERB
ejpam-5377	72	3	pi	pi	NOUN
ejpam-5377	72	4	=	=	SYM
ejpam-5377	72	5	{	{	PUNCT
ejpam-5377	72	6	i0	i0	PROPN
ejpam-5377	72	7	,	,	PUNCT
ejpam-5377	72	8	i1	i1	PROPN
ejpam-5377	72	9	,	,	PUNCT
ejpam-5377	72	10	·	·	PUNCT
ejpam-5377	72	11	·	·	PUNCT
ejpam-5377	72	12	·	·	PUNCT
ejpam-5377	72	13	,	,	PUNCT
ejpam-5377	72	14	i72	i72	PROPN
ejpam-5377	72	15	}	}	PUNCT
ejpam-5377	72	16	,	,	PUNCT
ejpam-5377	72	17	i	i	PRON
ejpam-5377	72	18	=	=	NOUN
ejpam-5377	72	19	1	1	NUM
ejpam-5377	72	20	,	,	PUNCT
ejpam-5377	72	21	2	2	NUM
ejpam-5377	72	22	,	,	PUNCT
ejpam-5377	72	23	3	3	NUM
ejpam-5377	72	24	,	,	PUNCT
ejpam-5377	72	25	for	for	ADP
ejpam-5377	72	26	the	the	DET
ejpam-5377	72	27	non	non	ADJ
ejpam-5377	72	28	-	-	ADJ
ejpam-5377	72	29	trivial	trivial	ADJ
ejpam-5377	72	30	point	point	NOUN
ejpam-5377	72	31	orbits	orbit	NOUN
ejpam-5377	72	32	of	of	ADP
ejpam-5377	72	33	the	the	DET
ejpam-5377	72	34	group	group	NOUN
ejpam-5377	72	35	g.	g.	PROPN
ejpam-5377	72	36	consecuently	consecuently	ADV
ejpam-5377	72	37	,	,	PUNCT
ejpam-5377	72	38	g	g	PROPN
ejpam-5377	72	39	uniquely	uniquely	ADV
ejpam-5377	72	40	acts	act	VERB
ejpam-5377	72	41	as	as	ADP
ejpam-5377	72	42	a	a	DET
ejpam-5377	72	43	permutation	permutation	NOUN
ejpam-5377	72	44	group	group	NOUN
ejpam-5377	72	45	on	on	ADP
ejpam-5377	72	46	these	these	DET
ejpam-5377	72	47	point	point	NOUN
ejpam-5377	72	48	orbits	orbit	NOUN
ejpam-5377	72	49	.	.	PUNCT
ejpam-5377	73	1	therefore	therefore	ADV
ejpam-5377	73	2	,	,	PUNCT
ejpam-5377	73	3	the	the	DET
ejpam-5377	73	4	generator	generator	NOUN
ejpam-5377	73	5	of	of	ADP
ejpam-5377	73	6	g	g	PROPN
ejpam-5377	73	7	can	can	AUX
ejpam-5377	73	8	be	be	AUX
ejpam-5377	73	9	defined	define	VERB
ejpam-5377	73	10	as	as	SCONJ
ejpam-5377	73	11	follows	follow	VERB
ejpam-5377	73	12	.	.	PUNCT
ejpam-5377	74	1	ρ	ρ	PROPN
ejpam-5377	74	2	=	=	SYM
ejpam-5377	74	3	(	(	PUNCT
ejpam-5377	74	4	∞)(i0	∞)(i0	PROPN
ejpam-5377	74	5	,	,	PUNCT
ejpam-5377	74	6	i1	i1	PROPN
ejpam-5377	74	7	,	,	PUNCT
ejpam-5377	74	8	·	·	PUNCT
ejpam-5377	74	9	·	·	PUNCT
ejpam-5377	74	10	·	·	PUNCT
ejpam-5377	74	11	,	,	PUNCT
ejpam-5377	74	12	i72	i72	PROPN
ejpam-5377	74	13	)	)	PUNCT
ejpam-5377	74	14	,	,	PUNCT
ejpam-5377	74	15	i	i	PRON
ejpam-5377	74	16	=	=	NOUN
ejpam-5377	74	17	1	1	NUM
ejpam-5377	74	18	,	,	PUNCT
ejpam-5377	74	19	2	2	NUM
ejpam-5377	74	20	,	,	PUNCT
ejpam-5377	74	21	3	3	NUM
ejpam-5377	74	22	,	,	PUNCT
ejpam-5377	74	23	where	where	SCONJ
ejpam-5377	74	24	∞	∞	PROPN
ejpam-5377	74	25	is	be	AUX
ejpam-5377	74	26	the	the	DET
ejpam-5377	74	27	fixed	fixed	ADJ
ejpam-5377	74	28	point	point	NOUN
ejpam-5377	74	29	of	of	ADP
ejpam-5377	74	30	the	the	DET
ejpam-5377	74	31	collineation	collineation	NOUN
ejpam-5377	74	32	,	,	PUNCT
ejpam-5377	74	33	the	the	DET
ejpam-5377	74	34	non	non	ADJ
ejpam-5377	74	35	-	-	ADJ
ejpam-5377	74	36	trivial	trivial	ADJ
ejpam-5377	74	37	⟨ρ⟩-orbits	⟨ρ⟩-orbit	NOUN
ejpam-5377	74	38	are	be	AUX
ejpam-5377	74	39	the	the	DET
ejpam-5377	74	40	numbers	number	NOUN
ejpam-5377	74	41	1	1	NUM
ejpam-5377	74	42	,	,	PUNCT
ejpam-5377	74	43	2	2	NUM
ejpam-5377	74	44	,	,	PUNCT
ejpam-5377	74	45	3	3	NUM
ejpam-5377	74	46	,	,	PUNCT
ejpam-5377	74	47	and	and	CCONJ
ejpam-5377	74	48	∞	∞	PROPN
ejpam-5377	74	49	,	,	PUNCT
ejpam-5377	74	50	10	10	NUM
ejpam-5377	74	51	,	,	PUNCT
ejpam-5377	74	52	11	11	NUM
ejpam-5377	74	53	,	,	PUNCT
ejpam-5377	74	54	·	·	PUNCT
ejpam-5377	74	55	·	·	PUNCT
ejpam-5377	74	56	·	·	PUNCT
ejpam-5377	74	57	,	,	PUNCT
ejpam-5377	74	58	372	372	NUM
ejpam-5377	74	59	represent	represent	VERB
ejpam-5377	74	60	all	all	DET
ejpam-5377	74	61	points	point	NOUN
ejpam-5377	74	62	of	of	ADP
ejpam-5377	74	63	the	the	DET
ejpam-5377	74	64	symmetric	symmetric	ADJ
ejpam-5377	74	65	block	block	NOUN
ejpam-5377	74	66	design	design	PROPN
ejpam-5377	74	67	d.	d.	PROPN
ejpam-5377	74	68	in	in	ADP
ejpam-5377	74	69	the	the	DET
ejpam-5377	74	70	following	follow	VERB
ejpam-5377	74	71	steps	step	NOUN
ejpam-5377	74	72	,	,	PUNCT
ejpam-5377	74	73	we	we	PRON
ejpam-5377	74	74	will	will	AUX
ejpam-5377	74	75	construct	construct	VERB
ejpam-5377	74	76	a	a	DET
ejpam-5377	74	77	representative	representative	ADJ
ejpam-5377	74	78	block	block	NOUN
ejpam-5377	74	79	for	for	ADP
ejpam-5377	74	80	each	each	DET
ejpam-5377	74	81	block	block	NOUN
ejpam-5377	74	82	orbit	orbit	NOUN
ejpam-5377	74	83	.	.	PUNCT
ejpam-5377	75	1	the	the	DET
ejpam-5377	75	2	⟨ρ⟩−fixed	⟨ρ⟩−fixe	VERB
ejpam-5377	75	3	block	block	NOUN
ejpam-5377	75	4	can	can	AUX
ejpam-5377	75	5	be	be	AUX
ejpam-5377	75	6	expressed	express	VERB
ejpam-5377	75	7	as	as	ADP
ejpam-5377	75	8	:	:	PUNCT
ejpam-5377	75	9	l1	l1	PROPN
ejpam-5377	75	10	=	=	SYM
ejpam-5377	75	11	(	(	PUNCT
ejpam-5377	75	12	1011	1011	NUM
ejpam-5377	75	13	·	·	PUNCT
ejpam-5377	75	14	·	·	PUNCT
ejpam-5377	75	15	·	·	PUNCT
ejpam-5377	76	1	172	172	X
ejpam-5377	76	2	)	)	PUNCT
ejpam-5377	76	3	or	or	CCONJ
ejpam-5377	76	4	l1	l1	PROPN
ejpam-5377	76	5	=	=	PROPN
ejpam-5377	76	6	173	173	NUM
ejpam-5377	76	7	.	.	PUNCT
ejpam-5377	76	8	let	let	VERB
ejpam-5377	76	9	l2	l2	NOUN
ejpam-5377	76	10	,	,	PUNCT
ejpam-5377	76	11	l3	l3	NOUN
ejpam-5377	76	12	,	,	PUNCT
ejpam-5377	76	13	and	and	CCONJ
ejpam-5377	76	14	l4	l4	PROPN
ejpam-5377	76	15	be	be	AUX
ejpam-5377	76	16	the	the	DET
ejpam-5377	76	17	representative	representative	ADJ
ejpam-5377	76	18	blocks	block	NOUN
ejpam-5377	76	19	for	for	ADP
ejpam-5377	76	20	the	the	DET
ejpam-5377	76	21	three	three	NUM
ejpam-5377	76	22	non	non	ADJ
ejpam-5377	76	23	-	-	ADJ
ejpam-5377	76	24	trivial	trivial	ADJ
ejpam-5377	76	25	block	block	NOUN
ejpam-5377	76	26	orbits	orbit	NOUN
ejpam-5377	76	27	.	.	PUNCT
ejpam-5377	77	1	the	the	DET
ejpam-5377	77	2	second	second	ADJ
ejpam-5377	77	3	ρ	ρ	PROPN
ejpam-5377	77	4	–	–	PUNCT
ejpam-5377	77	5	orbit	orbit	NOUN
ejpam-5377	77	6	block	block	NOUN
ejpam-5377	77	7	,	,	PUNCT
ejpam-5377	77	8	l2	l2	NOUN
ejpam-5377	77	9	,	,	PUNCT
ejpam-5377	77	10	of	of	ADP
ejpam-5377	77	11	block	block	NOUN
ejpam-5377	77	12	design	design	NOUN
ejpam-5377	77	13	d	d	PROPN
ejpam-5377	77	14	,	,	PUNCT
ejpam-5377	77	15	constructed	construct	VERB
ejpam-5377	77	16	by	by	ADP
ejpam-5377	77	17	the	the	DET
ejpam-5377	77	18	collineation	collineation	PROPN
ejpam-5377	77	19	ρ	ρ	PROPN
ejpam-5377	77	20	,	,	PUNCT
ejpam-5377	77	21	can	can	AUX
ejpam-5377	77	22	be	be	AUX
ejpam-5377	77	23	expressed	express	VERB
ejpam-5377	77	24	as	as	ADP
ejpam-5377	77	25	l2	l2	NOUN
ejpam-5377	77	26	=	=	SYM
ejpam-5377	77	27	∞1a12a23a3	∞1a12a23a3	PROPN
ejpam-5377	77	28	,	,	PUNCT
ejpam-5377	77	29	where	where	SCONJ
ejpam-5377	77	30	ai	ai	VERB
ejpam-5377	77	31	,	,	PUNCT
ejpam-5377	77	32	i	i	NOUN
ejpam-5377	77	33	=	=	NOUN
ejpam-5377	77	34	1	1	NUM
ejpam-5377	77	35	,	,	PUNCT
ejpam-5377	77	36	2	2	NUM
ejpam-5377	77	37	,	,	PUNCT
ejpam-5377	77	38	3	3	NUM
ejpam-5377	77	39	,	,	PUNCT
ejpam-5377	77	40	represent	represent	VERB
ejpam-5377	77	41	the	the	DET
ejpam-5377	77	42	multiplicities	multiplicity	NOUN
ejpam-5377	77	43	of	of	ADP
ejpam-5377	77	44	the	the	DET
ejpam-5377	77	45	occurrence	occurrence	NOUN
ejpam-5377	77	46	of	of	ADP
ejpam-5377	77	47	orbit	orbit	NOUN
ejpam-5377	77	48	numbers	number	NOUN
ejpam-5377	77	49	1	1	NUM
ejpam-5377	77	50	,	,	PUNCT
ejpam-5377	77	51	2	2	NUM
ejpam-5377	77	52	,	,	PUNCT
ejpam-5377	77	53	and	and	CCONJ
ejpam-5377	77	54	3	3	NUM
ejpam-5377	77	55	in	in	ADP
ejpam-5377	77	56	the	the	DET
ejpam-5377	77	57	orbit	orbit	NOUN
ejpam-5377	77	58	block	block	NOUN
ejpam-5377	77	59	l2	l2	NOUN
ejpam-5377	77	60	.	.	PUNCT
ejpam-5377	78	1	the	the	DET
ejpam-5377	78	2	multiplicities	multiplicity	NOUN
ejpam-5377	78	3	of	of	ADP
ejpam-5377	78	4	these	these	DET
ejpam-5377	78	5	orbit	orbit	NOUN
ejpam-5377	78	6	numbers	number	NOUN
ejpam-5377	78	7	must	must	AUX
ejpam-5377	78	8	satisfy	satisfy	VERB
ejpam-5377	78	9	the	the	DET
ejpam-5377	78	10	following	follow	VERB
ejpam-5377	78	11	conditions	condition	NOUN
ejpam-5377	78	12	:	:	PUNCT
ejpam-5377	78	13	a1	a1	NOUN
ejpam-5377	78	14	+	+	CCONJ
ejpam-5377	78	15	a2	a2	PROPN
ejpam-5377	78	16	+	+	CCONJ
ejpam-5377	78	17	a3	a3	NOUN
ejpam-5377	78	18	=	=	SYM
ejpam-5377	78	19	72	72	NUM
ejpam-5377	78	20	.	.	PUNCT
ejpam-5377	79	1	because	because	SCONJ
ejpam-5377	79	2	|l1	|l1	NOUN
ejpam-5377	79	3	∩	∩	NOUN
ejpam-5377	79	4	l2|	l2|	NOUN
ejpam-5377	79	5	=	=	SYM
ejpam-5377	79	6	24	24	NUM
ejpam-5377	79	7	,	,	PUNCT
ejpam-5377	79	8	we	we	PRON
ejpam-5377	79	9	have	have	VERB
ejpam-5377	79	10	a1	a1	NOUN
ejpam-5377	79	11	=	=	SYM
ejpam-5377	79	12	24	24	NUM
ejpam-5377	79	13	.	.	PUNCT
ejpam-5377	80	1	from	from	ADP
ejpam-5377	80	2	(	(	PUNCT
ejpam-5377	80	3	7	7	X
ejpam-5377	80	4	)	)	PUNCT
ejpam-5377	80	5	we	we	PRON
ejpam-5377	80	6	have	have	AUX
ejpam-5377	80	7	[	[	X
ejpam-5377	80	8	l2	l2	NOUN
ejpam-5377	80	9	,	,	PUNCT
ejpam-5377	80	10	l2	l2	NOUN
ejpam-5377	80	11	]	]	PUNCT
ejpam-5377	80	12	=	=	PUNCT
ejpam-5377	80	13	73/1	73/1	NUM
ejpam-5377	80	14	·	·	PUNCT
ejpam-5377	80	15	1	1	NUM
ejpam-5377	80	16	·	·	PUNCT
ejpam-5377	80	17	1	1	NUM
ejpam-5377	80	18	+	+	NUM
ejpam-5377	80	19	73/73	73/73	NUM
ejpam-5377	80	20	·	·	SYM
ejpam-5377	80	21	a21	a21	NOUN
ejpam-5377	80	22	+	+	PROPN
ejpam-5377	80	23	73/73	73/73	NUM
ejpam-5377	80	24	·	·	SYM
ejpam-5377	80	25	a22	a22	PROPN
ejpam-5377	80	26	+	+	PROPN
ejpam-5377	80	27	73/73	73/73	NUM
ejpam-5377	80	28	·	·	SYM
ejpam-5377	80	29	a23	a23	PROPN
ejpam-5377	80	30	=	=	SYM
ejpam-5377	80	31	24	24	NUM
ejpam-5377	80	32	·	·	PUNCT
ejpam-5377	80	33	73	73	NUM
ejpam-5377	80	34	+	+	NUM
ejpam-5377	80	35	73−	73−	ADJ
ejpam-5377	80	36	24	24	NUM
ejpam-5377	80	37	=	=	SYM
ejpam-5377	80	38	1801	1801	NUM
ejpam-5377	80	39	,	,	PUNCT
ejpam-5377	80	40	i.e.	i.e.	X
ejpam-5377	80	41	a21	a21	X
ejpam-5377	80	42	+	+	CCONJ
ejpam-5377	80	43	a22	a22	PROPN
ejpam-5377	80	44	+	+	CCONJ
ejpam-5377	80	45	a23	a23	NOUN
ejpam-5377	80	46	=	=	SYM
ejpam-5377	80	47	1728	1728	NUM
ejpam-5377	80	48	or	or	CCONJ
ejpam-5377	80	49	a22	a22	PROPN
ejpam-5377	80	50	+	+	CCONJ
ejpam-5377	80	51	a23	a23	PROPN
ejpam-5377	80	52	=	=	SYM
ejpam-5377	80	53	1152	1152	NUM
ejpam-5377	80	54	,	,	PUNCT
ejpam-5377	80	55	whence	whence	SCONJ
ejpam-5377	80	56	it	it	PRON
ejpam-5377	80	57	follows	follow	VERB
ejpam-5377	80	58	that	that	SCONJ
ejpam-5377	80	59	the	the	DET
ejpam-5377	80	60	multiplicities	multiplicity	NOUN
ejpam-5377	80	61	of	of	ADP
ejpam-5377	80	62	appearances	appearance	NOUN
ejpam-5377	80	63	in	in	ADP
ejpam-5377	80	64	block	block	NOUN
ejpam-5377	80	65	l2	l2	NOUN
ejpam-5377	80	66	yield	yield	VERB
ejpam-5377	80	67	the	the	DET
ejpam-5377	80	68	constraints	constraint	NOUN
ejpam-5377	80	69	0	0	NUM
ejpam-5377	80	70	≤	≤	NUM
ejpam-5377	80	71	ai	ai	VERB
ejpam-5377	80	72	≤	≤	NUM
ejpam-5377	80	73	33	33	NUM
ejpam-5377	80	74	,	,	PUNCT
ejpam-5377	80	75	i	i	PRON
ejpam-5377	80	76	=	=	NOUN
ejpam-5377	80	77	2	2	NUM
ejpam-5377	80	78	,	,	PUNCT
ejpam-5377	80	79	3	3	NUM
ejpam-5377	80	80	.	.	PUNCT
ejpam-5377	80	81	to	to	PART
ejpam-5377	80	82	minimize	minimize	VERB
ejpam-5377	80	83	isomorphic	isomorphic	ADJ
ejpam-5377	80	84	cases	case	NOUN
ejpam-5377	80	85	in	in	ADP
ejpam-5377	80	86	the	the	DET
ejpam-5377	80	87	orbit	orbit	NOUN
ejpam-5377	80	88	structures	structure	NOUN
ejpam-5377	80	89	at	at	ADP
ejpam-5377	80	90	the	the	DET
ejpam-5377	80	91	final	final	ADJ
ejpam-5377	80	92	stage	stage	NOUN
ejpam-5377	80	93	,	,	PUNCT
ejpam-5377	80	94	we	we	PRON
ejpam-5377	80	95	can	can	AUX
ejpam-5377	80	96	assume	assume	VERB
ejpam-5377	80	97	without	without	ADP
ejpam-5377	80	98	loss	loss	NOUN
ejpam-5377	80	99	of	of	ADP
ejpam-5377	80	100	generality	generality	NOUN
ejpam-5377	80	101	that	that	PRON
ejpam-5377	80	102	a2	a2	PROPN
ejpam-5377	80	103	≥	≥	PROPN
ejpam-5377	80	104	a3	a3	PROPN
ejpam-5377	80	105	for	for	ADP
ejpam-5377	80	106	block	block	NOUN
ejpam-5377	80	107	l2	l2	NOUN
ejpam-5377	80	108	.	.	PUNCT
ejpam-5377	81	1	using	use	VERB
ejpam-5377	81	2	computational	computational	ADJ
ejpam-5377	81	3	methods	method	NOUN
ejpam-5377	81	4	,	,	PUNCT
ejpam-5377	81	5	we	we	PRON
ejpam-5377	81	6	have	have	AUX
ejpam-5377	81	7	demonstrated	demonstrate	VERB
ejpam-5377	81	8	that	that	SCONJ
ejpam-5377	81	9	there	there	PRON
ejpam-5377	81	10	exists	exist	VERB
ejpam-5377	81	11	exactly	exactly	ADV
ejpam-5377	81	12	one	one	NUM
ejpam-5377	81	13	orbit	orbit	NOUN
ejpam-5377	81	14	type	type	NOUN
ejpam-5377	81	15	for	for	ADP
ejpam-5377	81	16	block	block	NOUN
ejpam-5377	81	17	l2	l2	NOUN
ejpam-5377	81	18	that	that	PRON
ejpam-5377	81	19	meets	meet	VERB
ejpam-5377	81	20	the	the	DET
ejpam-5377	81	21	aforementioned	aforementioned	ADJ
ejpam-5377	81	22	conditions	condition	NOUN
ejpam-5377	81	23	:	:	PUNCT
ejpam-5377	81	24	a1	a1	NOUN
ejpam-5377	81	25	a2	a2	PROPN
ejpam-5377	81	26	a3	a3	NOUN
ejpam-5377	81	27	1	1	NUM
ejpam-5377	81	28	.	.	NUM
ejpam-5377	81	29	24	24	NUM
ejpam-5377	81	30	24	24	NUM
ejpam-5377	81	31	24	24	NUM
ejpam-5377	81	32	m.	m.	NOUN
ejpam-5377	81	33	gashi	gashi	PROPN
ejpam-5377	81	34	/	/	SYM
ejpam-5377	81	35	eur	eur	PROPN
ejpam-5377	81	36	.	.	PUNCT
ejpam-5377	82	1	j.	j.	PROPN
ejpam-5377	82	2	pure	pure	PROPN
ejpam-5377	82	3	appl	appl	PROPN
ejpam-5377	82	4	.	.	PROPN
ejpam-5377	82	5	math	math	PROPN
ejpam-5377	82	6	,	,	PUNCT
ejpam-5377	82	7	17	17	NUM
ejpam-5377	82	8	(	(	PUNCT
ejpam-5377	82	9	4	4	NUM
ejpam-5377	82	10	)	)	PUNCT
ejpam-5377	82	11	(	(	PUNCT
ejpam-5377	82	12	2024	2024	NUM
ejpam-5377	82	13	)	)	PUNCT
ejpam-5377	82	14	,	,	PUNCT
ejpam-5377	82	15	2720	2720	NUM
ejpam-5377	82	16	-	-	SYM
ejpam-5377	82	17	2725	2725	NUM
ejpam-5377	82	18	2724	2724	NUM
ejpam-5377	82	19	the	the	DET
ejpam-5377	82	20	form	form	NOUN
ejpam-5377	82	21	of	of	ADP
ejpam-5377	82	22	the	the	DET
ejpam-5377	82	23	third	third	ADJ
ejpam-5377	82	24	orbit	orbit	NOUN
ejpam-5377	82	25	block	block	NOUN
ejpam-5377	82	26	l3	l3	PROPN
ejpam-5377	82	27	,	,	PUNCT
ejpam-5377	82	28	created	create	VERB
ejpam-5377	82	29	using	use	VERB
ejpam-5377	82	30	the	the	DET
ejpam-5377	82	31	collineation	collineation	NOUN
ejpam-5377	82	32	ρ	ρ	PROPN
ejpam-5377	82	33	,	,	PUNCT
ejpam-5377	82	34	is	be	AUX
ejpam-5377	82	35	as	as	SCONJ
ejpam-5377	82	36	follows	follow	VERB
ejpam-5377	82	37	:	:	PUNCT
ejpam-5377	82	38	l3	l3	PROPN
ejpam-5377	82	39	=	=	PROPN
ejpam-5377	82	40	1b12b23b3	1b12b23b3	PROPN
ejpam-5377	82	41	.	.	PUNCT
ejpam-5377	83	1	here	here	ADV
ejpam-5377	83	2	,	,	PUNCT
ejpam-5377	83	3	bi	bi	NOUN
ejpam-5377	83	4	,	,	PUNCT
ejpam-5377	83	5	where	where	SCONJ
ejpam-5377	83	6	i	i	PRON
ejpam-5377	83	7	=	=	NOUN
ejpam-5377	83	8	1	1	NUM
ejpam-5377	83	9	,	,	PUNCT
ejpam-5377	83	10	2	2	NUM
ejpam-5377	83	11	,	,	PUNCT
ejpam-5377	83	12	3	3	NUM
ejpam-5377	83	13	represent	represent	VERB
ejpam-5377	83	14	the	the	DET
ejpam-5377	83	15	frequencies	frequency	NOUN
ejpam-5377	83	16	of	of	ADP
ejpam-5377	83	17	orbit	orbit	NOUN
ejpam-5377	83	18	numbers	number	NOUN
ejpam-5377	83	19	1	1	NUM
ejpam-5377	83	20	,	,	PUNCT
ejpam-5377	83	21	2	2	NUM
ejpam-5377	83	22	,	,	PUNCT
ejpam-5377	83	23	and	and	CCONJ
ejpam-5377	83	24	3	3	NUM
ejpam-5377	83	25	appearing	appear	VERB
ejpam-5377	83	26	in	in	ADP
ejpam-5377	83	27	orbit	orbit	NOUN
ejpam-5377	83	28	block	block	NOUN
ejpam-5377	83	29	l3	l3	PROPN
ejpam-5377	83	30	.	.	PUNCT
ejpam-5377	84	1	the	the	DET
ejpam-5377	84	2	occurrences	occurrence	NOUN
ejpam-5377	84	3	of	of	ADP
ejpam-5377	84	4	orbit	orbit	NOUN
ejpam-5377	84	5	numbers	number	NOUN
ejpam-5377	84	6	must	must	AUX
ejpam-5377	84	7	adhere	adhere	VERB
ejpam-5377	84	8	to	to	ADP
ejpam-5377	84	9	the	the	DET
ejpam-5377	84	10	following	follow	VERB
ejpam-5377	84	11	criteria	criterion	NOUN
ejpam-5377	84	12	:	:	PUNCT
ejpam-5377	84	13	b1	b1	NOUN
ejpam-5377	84	14	+	+	CCONJ
ejpam-5377	84	15	b2	b2	NOUN
ejpam-5377	84	16	+	+	CCONJ
ejpam-5377	84	17	b3	b3	NOUN
ejpam-5377	84	18	=	=	SYM
ejpam-5377	84	19	73	73	NUM
ejpam-5377	84	20	.	.	PUNCT
ejpam-5377	85	1	[	[	X
ejpam-5377	85	2	l1	l1	PROPN
ejpam-5377	85	3	∩	∩	PROPN
ejpam-5377	85	4	l3	l3	PROPN
ejpam-5377	85	5	]	]	PUNCT
ejpam-5377	85	6	=	=	SYM
ejpam-5377	85	7	24	24	NUM
ejpam-5377	85	8	implies	imply	VERB
ejpam-5377	85	9	b1	b1	NOUN
ejpam-5377	85	10	=	=	SYM
ejpam-5377	85	11	24	24	NUM
ejpam-5377	85	12	.	.	PUNCT
ejpam-5377	86	1	from	from	ADP
ejpam-5377	86	2	(	(	PUNCT
ejpam-5377	86	3	7	7	X
ejpam-5377	86	4	)	)	PUNCT
ejpam-5377	86	5	we	we	PRON
ejpam-5377	86	6	have	have	AUX
ejpam-5377	86	7	[	[	X
ejpam-5377	86	8	l3	l3	NOUN
ejpam-5377	86	9	,	,	PUNCT
ejpam-5377	86	10	l3	l3	X
ejpam-5377	86	11	]	]	PUNCT
ejpam-5377	86	12	=	=	SYM
ejpam-5377	86	13	b21	b21	PROPN
ejpam-5377	86	14	+	+	CCONJ
ejpam-5377	86	15	b22	b22	PROPN
ejpam-5377	86	16	+	+	CCONJ
ejpam-5377	86	17	b23	b23	PROPN
ejpam-5377	86	18	=	=	SYM
ejpam-5377	86	19	24	24	NUM
ejpam-5377	86	20	·	·	SYM
ejpam-5377	86	21	73	73	NUM
ejpam-5377	87	1	+	+	NUM
ejpam-5377	87	2	73−	73−	NUM
ejpam-5377	87	3	24	24	NUM
ejpam-5377	87	4	=	=	SYM
ejpam-5377	87	5	1801	1801	NUM
ejpam-5377	87	6	or	or	CCONJ
ejpam-5377	87	7	b22	b22	PROPN
ejpam-5377	87	8	+	+	CCONJ
ejpam-5377	87	9	b23	b23	PROPN
ejpam-5377	87	10	=	=	SYM
ejpam-5377	87	11	1225	1225	NUM
ejpam-5377	87	12	.	.	PUNCT
ejpam-5377	88	1	based	base	VERB
ejpam-5377	88	2	on	on	ADP
ejpam-5377	88	3	the	the	DET
ejpam-5377	88	4	previous	previous	ADJ
ejpam-5377	88	5	relation	relation	NOUN
ejpam-5377	88	6	,	,	PUNCT
ejpam-5377	88	7	we	we	PRON
ejpam-5377	88	8	deduce	deduce	VERB
ejpam-5377	88	9	the	the	DET
ejpam-5377	88	10	constraints	constraint	NOUN
ejpam-5377	88	11	0	0	NUM
ejpam-5377	88	12	≤	≤	ADJ
ejpam-5377	88	13	bi	bi	NOUN
ejpam-5377	88	14	≤	≤	PROPN
ejpam-5377	88	15	35	35	NUM
ejpam-5377	88	16	,	,	PUNCT
ejpam-5377	88	17	where	where	SCONJ
ejpam-5377	88	18	i	i	PRON
ejpam-5377	88	19	=	=	NOUN
ejpam-5377	88	20	2	2	NUM
ejpam-5377	88	21	,	,	PUNCT
ejpam-5377	88	22	3	3	NUM
ejpam-5377	88	23	.	.	PUNCT
ejpam-5377	89	1	[	[	X
ejpam-5377	89	2	l2	l2	NOUN
ejpam-5377	89	3	,	,	PUNCT
ejpam-5377	89	4	l3	l3	X
ejpam-5377	89	5	]	]	PUNCT
ejpam-5377	89	6	=	=	PUNCT
ejpam-5377	89	7	a1b1	a1b1	PROPN
ejpam-5377	90	1	+	+	CCONJ
ejpam-5377	90	2	a2b2	a2b2	CCONJ
ejpam-5377	90	3	+	+	NUM
ejpam-5377	90	4	a3b3	a3b3	NOUN
ejpam-5377	90	5	=	=	NOUN
ejpam-5377	90	6	24	24	NUM
ejpam-5377	90	7	·	·	SYM
ejpam-5377	90	8	73	73	NUM
ejpam-5377	90	9	=	=	SYM
ejpam-5377	90	10	1752	1752	NUM
ejpam-5377	90	11	.	.	PUNCT
ejpam-5377	91	1	through	through	ADP
ejpam-5377	91	2	computational	computational	ADJ
ejpam-5377	91	3	analysis	analysis	NOUN
ejpam-5377	91	4	,	,	PUNCT
ejpam-5377	91	5	we	we	PRON
ejpam-5377	91	6	have	have	AUX
ejpam-5377	91	7	confirmed	confirm	VERB
ejpam-5377	91	8	the	the	DET
ejpam-5377	91	9	existence	existence	NOUN
ejpam-5377	91	10	of	of	ADP
ejpam-5377	91	11	precisely	precisely	ADV
ejpam-5377	91	12	two	two	NUM
ejpam-5377	91	13	orbit	orbit	NOUN
ejpam-5377	91	14	types	type	NOUN
ejpam-5377	91	15	for	for	ADP
ejpam-5377	91	16	block	block	NOUN
ejpam-5377	91	17	l3	l3	NOUN
ejpam-5377	91	18	that	that	PRON
ejpam-5377	91	19	meet	meet	VERB
ejpam-5377	91	20	the	the	DET
ejpam-5377	91	21	aforementioned	aforementioned	ADJ
ejpam-5377	91	22	criteria	criterion	NOUN
ejpam-5377	91	23	:	:	PUNCT
ejpam-5377	91	24	b1	b1	NOUN
ejpam-5377	91	25	b2	b2	NOUN
ejpam-5377	91	26	b3	b3	PROPN
ejpam-5377	91	27	1	1	NUM
ejpam-5377	91	28	.	.	NUM
ejpam-5377	91	29	24	24	NUM
ejpam-5377	91	30	28	28	NUM
ejpam-5377	91	31	21	21	NUM
ejpam-5377	91	32	2	2	NUM
ejpam-5377	91	33	.	.	NUM
ejpam-5377	91	34	24	24	NUM
ejpam-5377	91	35	21	21	NUM
ejpam-5377	91	36	28	28	NUM
ejpam-5377	92	1	it	it	PRON
ejpam-5377	92	2	is	be	AUX
ejpam-5377	92	3	evident	evident	ADJ
ejpam-5377	92	4	that	that	SCONJ
ejpam-5377	92	5	among	among	ADP
ejpam-5377	92	6	the	the	DET
ejpam-5377	92	7	contenders	contender	NOUN
ejpam-5377	92	8	for	for	ADP
ejpam-5377	92	9	block	block	NOUN
ejpam-5377	92	10	l3	l3	PROPN
ejpam-5377	92	11	are	be	AUX
ejpam-5377	92	12	also	also	ADV
ejpam-5377	92	13	blocks	blocks	ADP
ejpam-5377	92	14	l4	l4	PROPN
ejpam-5377	92	15	.	.	PUNCT
ejpam-5377	93	1	consequently	consequently	ADV
ejpam-5377	93	2	,	,	PUNCT
ejpam-5377	93	3	we	we	PRON
ejpam-5377	93	4	examine	examine	VERB
ejpam-5377	93	5	pairs	pair	NOUN
ejpam-5377	93	6	of	of	ADP
ejpam-5377	93	7	blocks	block	NOUN
ejpam-5377	93	8	{	{	PUNCT
ejpam-5377	93	9	l3	l3	PROPN
ejpam-5377	93	10	,	,	PUNCT
ejpam-5377	93	11	l4	l4	PROPN
ejpam-5377	93	12	}	}	PUNCT
ejpam-5377	93	13	that	that	PRON
ejpam-5377	93	14	are	be	AUX
ejpam-5377	93	15	mutually	mutually	ADV
ejpam-5377	93	16	compatible	compatible	ADJ
ejpam-5377	93	17	.	.	PUNCT
ejpam-5377	94	1	through	through	ADP
ejpam-5377	94	2	this	this	DET
ejpam-5377	94	3	approach	approach	NOUN
ejpam-5377	94	4	,	,	PUNCT
ejpam-5377	94	5	we	we	PRON
ejpam-5377	94	6	have	have	AUX
ejpam-5377	94	7	determined	determine	VERB
ejpam-5377	94	8	that	that	SCONJ
ejpam-5377	94	9	,	,	PUNCT
ejpam-5377	94	10	up	up	ADP
ejpam-5377	94	11	to	to	ADP
ejpam-5377	94	12	isomorphism	isomorphism	NOUN
ejpam-5377	94	13	,	,	PUNCT
ejpam-5377	94	14	there	there	PRON
ejpam-5377	94	15	exists	exist	VERB
ejpam-5377	94	16	precisely	precisely	ADV
ejpam-5377	94	17	one	one	NUM
ejpam-5377	94	18	orbit	orbit	NOUN
ejpam-5377	94	19	structure	structure	NOUN
ejpam-5377	94	20	for	for	ADP
ejpam-5377	94	21	the	the	DET
ejpam-5377	94	22	symmetric	symmetric	ADJ
ejpam-5377	94	23	block	block	NOUN
ejpam-5377	94	24	design	design	NOUN
ejpam-5377	94	25	with	with	ADP
ejpam-5377	94	26	parameters	parameter	NOUN
ejpam-5377	94	27	(	(	PUNCT
ejpam-5377	94	28	220	220	NUM
ejpam-5377	94	29	,	,	PUNCT
ejpam-5377	94	30	73	73	NUM
ejpam-5377	94	31	,	,	PUNCT
ejpam-5377	94	32	24	24	NUM
ejpam-5377	94	33	)	)	PUNCT
ejpam-5377	94	34	under	under	ADP
ejpam-5377	94	35	the	the	DET
ejpam-5377	94	36	action	action	NOUN
ejpam-5377	94	37	of	of	ADP
ejpam-5377	94	38	the	the	DET
ejpam-5377	94	39	collineation	collineation	NOUN
ejpam-5377	94	40	ρ	ρ	NOUN
ejpam-5377	94	41	of	of	ADP
ejpam-5377	94	42	order	order	NOUN
ejpam-5377	94	43	73	73	NUM
ejpam-5377	94	44	:	:	PUNCT
ejpam-5377	94	45	orbit	orbit	NOUN
ejpam-5377	94	46	structure	structure	NOUN
ejpam-5377	94	47	:	:	PUNCT
ejpam-5377	95	1	so	so	SCONJ
ejpam-5377	95	2	1	1	NUM
ejpam-5377	95	3	73	73	NUM
ejpam-5377	95	4	73	73	NUM
ejpam-5377	95	5	73	73	NUM
ejpam-5377	95	6	0	0	NUM
ejpam-5377	95	7	73	73	NUM
ejpam-5377	95	8	0	0	NUM
ejpam-5377	95	9	0	0	NUM
ejpam-5377	95	10	1	1	NUM
ejpam-5377	95	11	24	24	NUM
ejpam-5377	95	12	24	24	NUM
ejpam-5377	95	13	24	24	NUM
ejpam-5377	95	14	0	0	NUM
ejpam-5377	95	15	24	24	NUM
ejpam-5377	95	16	28	28	NUM
ejpam-5377	95	17	21	21	NUM
ejpam-5377	95	18	0	0	NUM
ejpam-5377	95	19	24	24	NUM
ejpam-5377	95	20	21	21	NUM
ejpam-5377	95	21	28	28	NUM
ejpam-5377	95	22	full	full	ADJ
ejpam-5377	95	23	automporphism	automporphism	NOUN
ejpam-5377	95	24	group	group	NOUN
ejpam-5377	95	25	of	of	ADP
ejpam-5377	95	26	the	the	DET
ejpam-5377	95	27	orbit	orbit	NOUN
ejpam-5377	95	28	stucture	stucture	NOUN
ejpam-5377	95	29	is	be	AUX
ejpam-5377	95	30	:	:	PUNCT
ejpam-5377	95	31	aut(so	aut(so	X
ejpam-5377	95	32	)	)	PUNCT
ejpam-5377	95	33	=	=	SYM
ejpam-5377	95	34	{	{	PUNCT
ejpam-5377	95	35	1	1	NUM
ejpam-5377	95	36	,	,	PUNCT
ejpam-5377	95	37	(	(	PUNCT
ejpam-5377	95	38	3	3	NUM
ejpam-5377	95	39	4)(3̄	4)(3̄	NUM
ejpam-5377	95	40	4̄	4̄	PROPN
ejpam-5377	95	41	)	)	PUNCT
ejpam-5377	95	42	}	}	PUNCT
ejpam-5377	95	43	thus	thus	ADV
ejpam-5377	95	44	we	we	PRON
ejpam-5377	95	45	have	have	AUX
ejpam-5377	95	46	theorem	theorem	VERB
ejpam-5377	95	47	1	1	X
ejpam-5377	95	48	.	.	PUNCT
ejpam-5377	96	1	there	there	PRON
ejpam-5377	96	2	exists	exist	VERB
ejpam-5377	96	3	precisely	precisely	ADV
ejpam-5377	96	4	one	one	NUM
ejpam-5377	96	5	orbit	orbit	NOUN
ejpam-5377	96	6	structure	structure	NOUN
ejpam-5377	96	7	,	,	PUNCT
ejpam-5377	96	8	up	up	ADP
ejpam-5377	96	9	to	to	ADP
ejpam-5377	96	10	isomorphism	isomorphism	NOUN
ejpam-5377	96	11	,	,	PUNCT
ejpam-5377	96	12	for	for	ADP
ejpam-5377	96	13	the	the	DET
ejpam-5377	96	14	symmetric	symmetric	ADJ
ejpam-5377	96	15	block	block	NOUN
ejpam-5377	96	16	design	design	NOUN
ejpam-5377	96	17	d	d	NOUN
ejpam-5377	96	18	characterized	characterize	VERB
ejpam-5377	96	19	by	by	ADP
ejpam-5377	96	20	parameters	parameter	NOUN
ejpam-5377	96	21	(	(	PUNCT
ejpam-5377	96	22	220	220	NUM
ejpam-5377	96	23	,	,	PUNCT
ejpam-5377	96	24	73	73	NUM
ejpam-5377	96	25	,	,	PUNCT
ejpam-5377	96	26	24	24	NUM
ejpam-5377	96	27	)	)	PUNCT
ejpam-5377	96	28	and	and	CCONJ
ejpam-5377	96	29	accommodating	accommodate	VERB
ejpam-5377	96	30	the	the	DET
ejpam-5377	96	31	group	group	NOUN
ejpam-5377	96	32	g	g	NOUN
ejpam-5377	96	33	of	of	ADP
ejpam-5377	96	34	order	order	NOUN
ejpam-5377	96	35	73	73	NUM
ejpam-5377	96	36	.	.	PUNCT
ejpam-5377	97	1	remark	remark	PROPN
ejpam-5377	97	2	1	1	NUM
ejpam-5377	97	3	.	.	PUNCT
ejpam-5377	98	1	the	the	DET
ejpam-5377	98	2	specific	specific	ADJ
ejpam-5377	98	3	indexing	indexing	NOUN
ejpam-5377	98	4	of	of	ADP
ejpam-5377	98	5	this	this	DET
ejpam-5377	98	6	orbit	orbit	NOUN
ejpam-5377	98	7	structure	structure	NOUN
ejpam-5377	98	8	to	to	PART
ejpam-5377	98	9	generate	generate	VERB
ejpam-5377	98	10	an	an	DET
ejpam-5377	98	11	example	example	NOUN
ejpam-5377	98	12	remains	remain	VERB
ejpam-5377	98	13	an	an	DET
ejpam-5377	98	14	unresolved	unresolved	ADJ
ejpam-5377	98	15	issue	issue	NOUN
ejpam-5377	98	16	.	.	PUNCT
ejpam-5377	99	1	references	reference	NOUN
ejpam-5377	99	2	2725	2725	NUM
ejpam-5377	99	3	acknowledgements	acknowledgement	NOUN
ejpam-5377	99	4	i	i	PRON
ejpam-5377	99	5	would	would	AUX
ejpam-5377	99	6	like	like	VERB
ejpam-5377	99	7	to	to	PART
ejpam-5377	99	8	express	express	VERB
ejpam-5377	99	9	my	my	PRON
ejpam-5377	99	10	gratitude	gratitude	NOUN
ejpam-5377	99	11	to	to	ADP
ejpam-5377	99	12	the	the	DET
ejpam-5377	99	13	anonymous	anonymous	ADJ
ejpam-5377	99	14	referees	referee	NOUN
ejpam-5377	99	15	for	for	ADP
ejpam-5377	99	16	their	their	PRON
ejpam-5377	99	17	helpful	helpful	ADJ
ejpam-5377	99	18	comments	comment	NOUN
ejpam-5377	99	19	and	and	CCONJ
ejpam-5377	99	20	suggestions	suggestion	NOUN
ejpam-5377	99	21	that	that	PRON
ejpam-5377	99	22	have	have	AUX
ejpam-5377	99	23	improved	improve	VERB
ejpam-5377	99	24	the	the	DET
ejpam-5377	99	25	quality	quality	NOUN
ejpam-5377	99	26	of	of	ADP
ejpam-5377	99	27	the	the	DET
ejpam-5377	99	28	paper	paper	NOUN
ejpam-5377	99	29	.	.	PUNCT
ejpam-5377	100	1	references	reference	NOUN
ejpam-5377	100	2	[	[	X
ejpam-5377	100	3	1	1	NUM
ejpam-5377	100	4	]	]	PUNCT
ejpam-5377	100	5	m.	m.	NOUN
ejpam-5377	100	6	aschbacher	aschbacher	NOUN
ejpam-5377	100	7	.	.	PUNCT
ejpam-5377	101	1	on	on	ADP
ejpam-5377	101	2	collineation	collineation	NOUN
ejpam-5377	101	3	groups	group	NOUN
ejpam-5377	101	4	of	of	ADP
ejpam-5377	101	5	symmetric	symmetric	ADJ
ejpam-5377	101	6	block	block	NOUN
ejpam-5377	101	7	designs	design	NOUN
ejpam-5377	101	8	.	.	PUNCT
ejpam-5377	102	1	j.	j.	PROPN
ejpam-5377	102	2	comb	comb	PROPN
ejpam-5377	102	3	.	.	PUNCT
ejpam-5377	103	1	theory	theory	NOUN
ejpam-5377	103	2	ser	ser	PROPN
ejpam-5377	103	3	.	.	PUNCT
ejpam-5377	104	1	a	a	DET
ejpam-5377	104	2	,	,	PUNCT
ejpam-5377	104	3	11:272–281	11:272–281	NUM
ejpam-5377	104	4	,	,	PUNCT
ejpam-5377	104	5	1971	1971	NUM
ejpam-5377	104	6	.	.	PUNCT
ejpam-5377	105	1	[	[	X
ejpam-5377	105	2	2	2	X
ejpam-5377	105	3	]	]	PUNCT
ejpam-5377	105	4	t.	t.	PROPN
ejpam-5377	105	5	beth	beth	PROPN
ejpam-5377	105	6	,	,	PUNCT
ejpam-5377	105	7	d	d	X
ejpam-5377	105	8	jungnickel	jungnickel	NOUN
ejpam-5377	105	9	,	,	PUNCT
ejpam-5377	105	10	and	and	CCONJ
ejpam-5377	105	11	h.	h.	PROPN
ejpam-5377	105	12	lenz	lenz	PROPN
ejpam-5377	105	13	.	.	PUNCT
ejpam-5377	106	1	design	design	NOUN
ejpam-5377	106	2	theory	theory	NOUN
ejpam-5377	106	3	.	.	PUNCT
ejpam-5377	107	1	bibliographisches	bibliographisches	PROPN
ejpam-5377	107	2	institut	institut	PROPN
ejpam-5377	107	3	,	,	PUNCT
ejpam-5377	107	4	mannheim	mannheim	NOUN
ejpam-5377	107	5	-	-	PUNCT
ejpam-5377	107	6	wien	wien	NOUN
ejpam-5377	107	7	-	-	PUNCT
ejpam-5377	107	8	zürich	zürich	NOUN
ejpam-5377	107	9	,	,	PUNCT
ejpam-5377	107	10	1999	1999	NUM
ejpam-5377	107	11	.	.	PUNCT
ejpam-5377	108	1	[	[	X
ejpam-5377	108	2	3	3	NUM
ejpam-5377	108	3	]	]	PUNCT
ejpam-5377	108	4	a.	a.	NOUN
ejpam-5377	108	5	beutelspacher	beutelspacher	NOUN
ejpam-5377	108	6	.	.	PUNCT
ejpam-5377	109	1	einführung	einführung	VERB
ejpam-5377	109	2	in	in	ADP
ejpam-5377	109	3	die	die	PROPN
ejpam-5377	109	4	endliche	endliche	PROPN
ejpam-5377	109	5	geometrie	geometrie	PROPN
ejpam-5377	109	6	i.	i.	PROPN
ejpam-5377	109	7	bibliographisches	bibliographisches	PROPN
ejpam-5377	109	8	institut	institut	PROPN
ejpam-5377	109	9	,	,	PUNCT
ejpam-5377	109	10	mannheim	mannheim	NOUN
ejpam-5377	109	11	-	-	PUNCT
ejpam-5377	109	12	wien	wien	NOUN
ejpam-5377	109	13	-	-	PUNCT
ejpam-5377	109	14	zürich	zürich	NOUN
ejpam-5377	109	15	,	,	PUNCT
ejpam-5377	109	16	1985	1985	NUM
ejpam-5377	109	17	.	.	PUNCT
ejpam-5377	110	1	[	[	X
ejpam-5377	110	2	4	4	X
ejpam-5377	110	3	]	]	X
ejpam-5377	110	4	d.	d.	NOUN
ejpam-5377	110	5	crnković.	crnković.	PROPN
ejpam-5377	110	6	some	some	DET
ejpam-5377	110	7	new	new	ADJ
ejpam-5377	110	8	menon	menon	PROPN
ejpam-5377	110	9	designs	design	NOUN
ejpam-5377	110	10	with	with	ADP
ejpam-5377	110	11	parameters	parameter	NOUN
ejpam-5377	110	12	(	(	PUNCT
ejpam-5377	110	13	196,91,42	196,91,42	NUM
ejpam-5377	110	14	)	)	PUNCT
ejpam-5377	110	15	.	.	PUNCT
ejpam-5377	111	1	mathematical	mathematical	ADJ
ejpam-5377	111	2	communications	communication	NOUN
ejpam-5377	111	3	,	,	PUNCT
ejpam-5377	111	4	10(2):169–175	10(2):169–175	PROPN
ejpam-5377	111	5	,	,	PUNCT
ejpam-5377	111	6	2005	2005	NUM
ejpam-5377	111	7	.	.	PUNCT
ejpam-5377	112	1	[	[	X
ejpam-5377	112	2	5	5	X
ejpam-5377	112	3	]	]	PUNCT
ejpam-5377	112	4	v.	v.	CCONJ
ejpam-5377	112	5	ćepulić.	ćepulić.	PROPN
ejpam-5377	112	6	on	on	ADP
ejpam-5377	112	7	symmetric	symmetric	ADJ
ejpam-5377	112	8	block	block	NOUN
ejpam-5377	112	9	designs	design	NOUN
ejpam-5377	112	10	(	(	PUNCT
ejpam-5377	112	11	40	40	NUM
ejpam-5377	112	12	,	,	PUNCT
ejpam-5377	112	13	13	13	NUM
ejpam-5377	112	14	,	,	PUNCT
ejpam-5377	112	15	4	4	NUM
ejpam-5377	112	16	)	)	PUNCT
ejpam-5377	112	17	with	with	ADP
ejpam-5377	112	18	automorphisms	automorphism	NOUN
ejpam-5377	112	19	of	of	ADP
ejpam-5377	112	20	order	order	NOUN
ejpam-5377	112	21	5	5	NUM
ejpam-5377	112	22	.	.	PUNCT
ejpam-5377	112	23	discrete	discrete	ADJ
ejpam-5377	112	24	math	math	NOUN
ejpam-5377	112	25	.	.	PUNCT
ejpam-5377	112	26	,	,	PUNCT
ejpam-5377	113	1	28:45–60	28:45–60	NUM
ejpam-5377	113	2	,	,	PUNCT
ejpam-5377	113	3	1994	1994	NUM
ejpam-5377	113	4	.	.	PUNCT
ejpam-5377	114	1	[	[	X
ejpam-5377	114	2	6	6	NUM
ejpam-5377	114	3	]	]	PUNCT
ejpam-5377	114	4	m.	m.	NOUN
ejpam-5377	114	5	gashi	gashi	PROPN
ejpam-5377	114	6	.	.	PUNCT
ejpam-5377	115	1	a	a	DET
ejpam-5377	115	2	construction	construction	NOUN
ejpam-5377	115	3	of	of	ADP
ejpam-5377	115	4	a	a	DET
ejpam-5377	115	5	symmetric	symmetric	ADJ
ejpam-5377	115	6	design	design	NOUN
ejpam-5377	115	7	with	with	ADP
ejpam-5377	115	8	parameters	parameter	NOUN
ejpam-5377	115	9	(	(	PUNCT
ejpam-5377	115	10	195,97,48	195,97,48	NUM
ejpam-5377	115	11	)	)	PUNCT
ejpam-5377	115	12	with	with	ADP
ejpam-5377	115	13	help	help	NOUN
ejpam-5377	115	14	of	of	ADP
ejpam-5377	115	15	frobenius	frobenius	ADJ
ejpam-5377	115	16	group	group	NOUN
ejpam-5377	115	17	of	of	ADP
ejpam-5377	115	18	order	order	NOUN
ejpam-5377	115	19	4656	4656	NUM
ejpam-5377	115	20	.	.	PUNCT
ejpam-5377	116	1	international	international	ADJ
ejpam-5377	116	2	mathematical	mathematical	PROPN
ejpam-5377	116	3	forum	forum	PROPN
ejpam-5377	116	4	,	,	PUNCT
ejpam-5377	116	5	5(8):383	5(8):383	NUM
ejpam-5377	116	6	–	–	PUNCT
ejpam-5377	116	7	388	388	NUM
ejpam-5377	116	8	,	,	PUNCT
ejpam-5377	116	9	2009	2009	NUM
ejpam-5377	116	10	.	.	PUNCT
ejpam-5377	117	1	[	[	X
ejpam-5377	117	2	7	7	X
ejpam-5377	117	3	]	]	PUNCT
ejpam-5377	117	4	z.	z.	PROPN
ejpam-5377	117	5	janko	janko	PROPN
ejpam-5377	117	6	.	.	PUNCT
ejpam-5377	118	1	coset	coset	NOUN
ejpam-5377	118	2	enumeration	enumeration	NOUN
ejpam-5377	118	3	in	in	ADP
ejpam-5377	118	4	groups	group	NOUN
ejpam-5377	118	5	and	and	CCONJ
ejpam-5377	118	6	constructions	construction	NOUN
ejpam-5377	118	7	of	of	ADP
ejpam-5377	118	8	symmetric	symmetric	ADJ
ejpam-5377	118	9	designs	design	NOUN
ejpam-5377	118	10	.	.	PUNCT
ejpam-5377	119	1	combinatorics	combinatoric	NOUN
ejpam-5377	119	2	,	,	PUNCT
ejpam-5377	119	3	’	'	PUNCT
ejpam-5377	119	4	90:275–277	90:275–277	NUM
ejpam-5377	119	5	,	,	PUNCT
ejpam-5377	119	6	1992	1992	NUM
ejpam-5377	119	7	.	.	PUNCT
ejpam-5377	120	1	[	[	X
ejpam-5377	120	2	8	8	NUM
ejpam-5377	120	3	]	]	PUNCT
ejpam-5377	120	4	z.	z.	PROPN
ejpam-5377	120	5	janko	janko	PROPN
ejpam-5377	120	6	and	and	CCONJ
ejpam-5377	120	7	tran	tran	PROPN
ejpam-5377	120	8	van	van	PROPN
ejpam-5377	120	9	trung	trung	PROPN
ejpam-5377	120	10	.	.	PUNCT
ejpam-5377	121	1	construction	construction	NOUN
ejpam-5377	121	2	of	of	ADP
ejpam-5377	121	3	a	a	DET
ejpam-5377	121	4	new	new	ADJ
ejpam-5377	121	5	symmetric	symmetric	ADJ
ejpam-5377	121	6	block	block	NOUN
ejpam-5377	121	7	design	design	NOUN
ejpam-5377	121	8	for	for	ADP
ejpam-5377	121	9	(	(	PUNCT
ejpam-5377	121	10	78	78	NUM
ejpam-5377	121	11	,	,	PUNCT
ejpam-5377	121	12	22	22	NUM
ejpam-5377	121	13	,	,	PUNCT
ejpam-5377	121	14	6	6	NUM
ejpam-5377	121	15	)	)	PUNCT
ejpam-5377	121	16	with	with	ADP
ejpam-5377	121	17	help	help	NOUN
ejpam-5377	121	18	of	of	ADP
ejpam-5377	121	19	tactical	tactical	ADJ
ejpam-5377	121	20	decompositions	decomposition	NOUN
ejpam-5377	121	21	.	.	PUNCT
ejpam-5377	122	1	j.	j.	PROPN
ejpam-5377	122	2	comb	comb	PROPN
ejpam-5377	122	3	.	.	PUNCT
ejpam-5377	123	1	theory	theory	NOUN
ejpam-5377	123	2	,	,	PUNCT
ejpam-5377	123	3	ser	ser	PROPN
ejpam-5377	123	4	.	.	PUNCT
ejpam-5377	124	1	a	a	DET
ejpam-5377	124	2	,	,	PUNCT
ejpam-5377	124	3	40:451	40:451	NUM
ejpam-5377	124	4	–	–	PUNCT
ejpam-5377	124	5	455	455	NUM
ejpam-5377	124	6	,	,	PUNCT
ejpam-5377	124	7	1995	1995	NUM
ejpam-5377	124	8	.	.	PUNCT
ejpam-5377	125	1	[	[	X
ejpam-5377	125	2	9	9	NUM
ejpam-5377	125	3	]	]	PUNCT
ejpam-5377	125	4	c.	c.	PROPN
ejpam-5377	125	5	w.	w.	PROPN
ejpam-5377	125	6	h.	h.	PROPN
ejpam-5377	125	7	lam	lam	PROPN
ejpam-5377	125	8	.	.	PUNCT
ejpam-5377	126	1	the	the	DET
ejpam-5377	126	2	search	search	NOUN
ejpam-5377	126	3	for	for	ADP
ejpam-5377	126	4	a	a	DET
ejpam-5377	126	5	finite	finite	ADJ
ejpam-5377	126	6	projective	projective	ADJ
ejpam-5377	126	7	plane	plane	NOUN
ejpam-5377	126	8	of	of	ADP
ejpam-5377	126	9	order	order	NOUN
ejpam-5377	126	10	10	10	NUM
ejpam-5377	126	11	.	.	PUNCT
ejpam-5377	127	1	amer	amer	PROPN
ejpam-5377	127	2	.	.	PUNCT
ejpam-5377	127	3	math	math	PROPN
ejpam-5377	127	4	.	.	PUNCT
ejpam-5377	128	1	monthly	monthly	ADJ
ejpam-5377	128	2	,	,	PUNCT
ejpam-5377	128	3	98:305–318	98:305–318	PROPN
ejpam-5377	128	4	,	,	PUNCT
ejpam-5377	128	5	1992	1992	NUM
ejpam-5377	128	6	.	.	PUNCT
ejpam-5377	129	1	[	[	X
ejpam-5377	129	2	10	10	NUM
ejpam-5377	129	3	]	]	X
ejpam-5377	129	4	e.	e.	PROPN
ejpam-5377	129	5	lander	lander	PROPN
ejpam-5377	129	6	.	.	PUNCT
ejpam-5377	130	1	symmetric	symmetric	ADJ
ejpam-5377	130	2	designs	design	NOUN
ejpam-5377	130	3	:	:	PUNCT
ejpam-5377	130	4	an	an	DET
ejpam-5377	130	5	algebraic	algebraic	ADJ
ejpam-5377	130	6	approach	approach	NOUN
ejpam-5377	130	7	.	.	PUNCT
ejpam-5377	131	1	cambridge	cambridge	PROPN
ejpam-5377	131	2	university	university	PROPN
ejpam-5377	131	3	press	press	NOUN
ejpam-5377	131	4	,	,	PUNCT
ejpam-5377	131	5	1983	1983	NUM
ejpam-5377	131	6	.	.	PUNCT