id	sid	eid	entity	type
ap-768	1	1	1	CARDINAL
ap-768	2	1	1	CARDINAL
ap-768	2	2	2	CARDINAL
ap-768	3	1	2×2	CARDINAL
ap-768	3	2	pauli	GPE
ap-768	6	1	pauli	GPE
ap-768	6	2	3	CARDINAL
ap-768	7	1	3×3	CARDINAL
ap-768	7	2	pauli	GPE
ap-768	7	3	one	CARDINAL
ap-768	7	4	four	CARDINAL
ap-768	8	1	4	CARDINAL
ap-768	8	2	5	CARDINAL
ap-768	9	1	pauli	GPE
ap-768	9	2	6	CARDINAL
ap-768	10	1	zn	ORG
ap-768	10	2	pauli	GPE
ap-768	12	1	pauli	GPE
ap-768	13	1	symmetries	ORG
ap-768	14	1	cartesian	NORP
ap-768	15	1	8	CARDINAL
ap-768	16	1	zp	ORG
ap-768	16	2	2	CARDINAL
ap-768	16	3	9	CARDINAL
ap-768	16	4	16.3	CARDINAL
ap-768	18	1	2	CARDINAL
ap-768	18	2	2	CARDINAL
ap-768	18	3	3	DATE
ap-768	18	4	3	CARDINAL
ap-768	18	5	5	DATE
ap-768	19	1	0	CARDINAL
ap-768	19	2	1	DATE
ap-768	20	1	zn	ORG
ap-768	25	1	zero	CARDINAL
ap-768	26	1	zero	CARDINAL
ap-768	26	2	0	CARDINAL
ap-768	26	3	zero	CARDINAL
ap-768	26	4	0	CARDINAL
ap-768	28	1	k �n	PERSON
ap-768	28	2	a)mod k	PERSON
ap-768	28	3	modulo k	PERSON
ap-768	30	1	2.1	CARDINAL
ap-768	32	1	modulo n	PRODUCT
ap-768	33	1	2.1	CARDINAL
ap-768	33	2	nn n	PERSON
ap-768	34	1	2.1	CARDINAL
ap-768	35	1	sl(m	PERSON
ap-768	38	1	2.2	CARDINAL
ap-768	42	1	the j-th row and	ORG
ap-768	43	1	2.2	CARDINAL
ap-768	46	1	czech technical university publishing house	ORG
ap-768	46	2	39	CARDINAL
ap-768	46	3	czech	NORP
ap-768	47	1	45	CARDINAL
ap-768	48	1	5/2005	CARDINAL
ap-768	48	2	zn	ORG
ap-768	48	3	j. hrivnák	PERSON
ap-768	48	4	zn	ORG
ap-768	49	1	a. a. kirillov	PERSON
ap-768	49	2	2	CARDINAL
ap-768	51	1	hong	GPE
ap-768	51	2	gao	PERSON
ap-768	51	3	10	CARDINAL
ap-768	51	4	11	CARDINAL
ap-768	51	5	86	CARDINAL
ap-768	55	1	10	CARDINAL
ap-768	55	2	n p	ORG
ap-768	59	1	2.3	CARDINAL
ap-768	60	1	1	CARDINAL
ap-768	63	1	2	CARDINAL
ap-768	63	2	2.4	CARDINAL
ap-768	64	1	2.2	CARDINAL
ap-768	64	2	zn	ORG
ap-768	65	1	3	CARDINAL
ap-768	65	2	zp	ORG
ap-768	66	1	zp	ORG
ap-768	66	2	1	CARDINAL
ap-768	68	1	zero	CARDINAL
ap-768	68	2	zp	ORG
ap-768	68	3	one	CARDINAL
ap-768	68	4	zp	ORG
ap-768	69	1	0	CARDINAL
ap-768	70	1	zp	ORG
ap-768	70	2	0	CARDINAL
ap-768	71	1	2 1 2	QUANTITY
ap-768	71	2	0	CARDINAL
ap-768	71	3	zp	ORG
ap-768	72	1	zero	CARDINAL
ap-768	72	2	1 2	CARDINAL
ap-768	72	3	1 2	CARDINAL
ap-768	72	4	1	CARDINAL
ap-768	73	1	j � 1	PERSON
ap-768	73	2	1	CARDINAL
ap-768	74	1	am,1	ORG
ap-768	75	1	only two	CARDINAL
ap-768	75	2	1.	CARDINAL
ap-768	75	3	one	CARDINAL
ap-768	75	4	zero	CARDINAL
ap-768	75	5	0	CARDINAL
ap-768	75	6	0	CARDINAL
ap-768	75	7	0	CARDINAL
ap-768	75	8	2	CARDINAL
ap-768	76	1	0	CARDINAL
ap-768	76	2	0	CARDINAL
ap-768	76	3	1	CARDINAL
ap-768	76	4	4	CARDINAL
ap-768	79	1	zn	ORG
ap-768	79	2	2.2	CARDINAL
ap-768	79	3	2.4	CARDINAL
ap-768	80	1	1 2	CARDINAL
ap-768	80	2	1 2	CARDINAL
ap-768	84	1	4.1	CARDINAL
ap-768	84	2	4.1	CARDINAL
ap-768	84	3	4.1	CARDINAL
ap-768	85	1	0	CARDINAL
ap-768	85	2	0	DATE
ap-768	85	3	zm n n	FAC
ap-768	87	1	4.2	CARDINAL
ap-768	87	2	n(n	ORG
ap-768	87	3	zero	CARDINAL
ap-768	87	4	zero	CARDINAL
ap-768	88	1	4.2	CARDINAL
ap-768	89	1	4.2	CARDINAL
ap-768	89	2	1 2	CARDINAL
ap-768	89	3	integers z.	PERSON
ap-768	90	1	4.3	CARDINAL
ap-768	90	2	4.3	CARDINAL
ap-768	90	3	zn	ORG
ap-768	90	4	40	CARDINAL
ap-768	90	5	czech technical university publishing	ORG
ap-768	90	6	acta polytechnica vol.	PERSON
ap-768	91	1	45	CARDINAL
ap-768	92	1	5/2005	CARDINAL
ap-768	92	2	czech	NORP
ap-768	92	3	prague	GPE
ap-768	95	1	11 1	CARDINAL
ap-768	98	1	1 2	CARDINAL
ap-768	98	2	|gcd	PERSON
ap-768	99	1	|gcd	PERSON
ap-768	99	2	first	ORDINAL
ap-768	100	1	qed	ORG
ap-768	100	2	4.4	CARDINAL
ap-768	101	1	1	CARDINAL
ap-768	102	1	4.4	CARDINAL
ap-768	103	1	first	ORDINAL
ap-768	104	1	0	CARDINAL
ap-768	104	2	0	CARDINAL
ap-768	104	3	1	CARDINAL
ap-768	105	1	0	CARDINAL
ap-768	105	2	0 1	DATE
ap-768	106	1	1 1	CARDINAL
ap-768	106	2	det	PERSON
ap-768	106	3	det	PERSON
ap-768	107	1	0	CARDINAL
ap-768	107	2	0	CARDINAL
ap-768	107	3	1	CARDINAL
ap-768	108	1	1 2	CARDINAL
ap-768	112	1	4.4	CARDINAL
ap-768	112	2	lagrange	GPE
ap-768	113	1	zn	ORG
ap-768	113	2	sn	ORG
ap-768	113	3	1	CARDINAL
ap-768	113	4	zn)/s	PERSON
ap-768	115	1	one	CARDINAL
ap-768	115	2	0	CARDINAL
ap-768	115	3	0	CARDINAL
ap-768	115	4	1	CARDINAL
ap-768	119	1	4.5	CARDINAL
ap-768	120	1	2.3	CARDINAL
ap-768	120	2	4.4	CARDINAL
ap-768	122	1	1 1 1	QUANTITY
ap-768	123	1	4.5	CARDINAL
ap-768	124	1	jordan	GPE
ap-768	125	1	4.6	CARDINAL
ap-768	125	2	n mn	GPE
ap-768	125	3	4.6	CARDINAL
ap-768	125	4	jordan	GPE
ap-768	125	5	jordan	GPE
ap-768	125	6	12	CARDINAL
ap-768	126	1	4.7	CARDINAL
ap-768	126	2	jordan	GPE
ap-768	126	3	1	CARDINAL
ap-768	127	1	1	CARDINAL
ap-768	127	2	4.7	CARDINAL
ap-768	127	3	2	CARDINAL
ap-768	127	4	4.8	CARDINAL
ap-768	127	5	3	CARDINAL
ap-768	128	1	4.9	CARDINAL
ap-768	128	2	first	ORDINAL
ap-768	128	3	jordan	GPE
ap-768	128	4	4.7	CARDINAL
ap-768	129	1	4.8	CARDINAL
ap-768	129	2	2	CARDINAL
ap-768	129	3	zm n n ma a n	ORG
ap-768	129	4	1 1	CARDINAL
ap-768	129	5	4.1	CARDINAL
ap-768	129	6	k �n	PERSON
ap-768	130	1	4.1.1	CARDINAL
ap-768	130	2	j k� �	PERSON
ap-768	130	3	zj	ORG
ap-768	132	1	k k	PERSON
ap-768	133	1	f j j p a p a k	ORG
ap-768	134	1	4.1.2	CARDINAL
ap-768	134	2	two	CARDINAL
ap-768	136	1	f j a(	PRODUCT
ap-768	137	1	p k	PERSON
ap-768	139	1	fj	NORP
ap-768	142	1	czech	NORP
ap-768	142	2	41	CARDINAL
ap-768	142	3	czech	NORP
ap-768	143	1	45	CARDINAL
ap-768	144	1	5/2005	CARDINAL
ap-768	144	2	fj	NORP
ap-768	146	1	qed	ORG
ap-768	146	2	4.1.3	CARDINAL
ap-768	148	1	k j k kp	PERSON
ap-768	148	2	j k	PERSON
ap-768	149	1	k j	PERSON
ap-768	151	1	lemma 4.1.2	ORG
ap-768	151	2	1	CARDINAL
ap-768	151	3	j k p	PERSON
ap-768	151	4	4.4	CARDINAL
ap-768	151	5	k j k k k	PERSON
ap-768	155	1	k j k k j	PERSON
ap-768	155	2	1	CARDINAL
ap-768	156	1	mod	PERSON
ap-768	157	1	k j m pk k kz f or1 1	PERSON
ap-768	157	2	zj	ORG
ap-768	158	1	k j k k kp	PERSON
ap-768	158	2	1	CARDINAL
ap-768	159	1	1	CARDINAL
ap-768	159	2	pq �n	PERSON
ap-768	160	1	chinese	NORP
ap-768	160	2	13	CARDINAL
ap-768	161	1	chinese	NORP
ap-768	161	2	2	CARDINAL
ap-768	162	1	2	CARDINAL
ap-768	163	1	1 2	CARDINAL
ap-768	164	1	1 2	CARDINAL
ap-768	165	1	4.2.2	CARDINAL
ap-768	165	2	1	CARDINAL
ap-768	166	1	pq	PERSON
ap-768	166	2	mod moda	PERSON
ap-768	167	1	sl mpq	PERSON
ap-768	168	1	pq	PERSON
ap-768	169	1	chinese	NORP
ap-768	169	2	one	CARDINAL
ap-768	169	3	one	CARDINAL
ap-768	172	1	cartesian	NORP
ap-768	173	1	cartesian	NORP
ap-768	174	1	sl mp	PERSON
ap-768	175	1	1 2	CARDINAL
ap-768	175	2	1 2	CARDINAL
ap-768	175	3	sl mp	PERSON
ap-768	176	1	zq m. proposition	PERSON
ap-768	176	2	4.2.4	CARDINAL
ap-768	177	1	one	CARDINAL
ap-768	177	2	zq m. moreover	PERSON
ap-768	178	1	|gcd 1 1 1	DATE
ap-768	181	1	1 1	CARDINAL
ap-768	181	2	first	ORDINAL
ap-768	181	3	1	CARDINAL
ap-768	184	1	mod mod mod mod mod	PERSON
ap-768	185	1	one	CARDINAL
ap-768	185	2	one	CARDINAL
ap-768	186	1	1	CARDINAL
ap-768	186	2	one	CARDINAL
ap-768	187	1	zq m.	PERSON
ap-768	187	2	1 1	CARDINAL
ap-768	187	3	1 1	CARDINAL
ap-768	188	1	chinese	NORP
ap-768	188	2	|gcd	PERSON
ap-768	189	1	1 2 1 1 2 1	TIME
ap-768	189	2	1 1	CARDINAL
ap-768	190	1	4.4	CARDINAL
ap-768	190	2	zm pq pq mp	PERSON
ap-768	190	3	1 1 1 1	QUANTITY
ap-768	191	1	qed	ORG
ap-768	191	2	4.1.3	CARDINAL
ap-768	191	3	4.2.4	CARDINAL
ap-768	192	1	4.9	CARDINAL
ap-768	192	2	2	CARDINAL
ap-768	193	1	42	CARDINAL
ap-768	193	2	czech technical university publishing	ORG
ap-768	193	3	acta polytechnica vol.	PERSON
ap-768	194	1	45	CARDINAL
ap-768	195	1	5/2005	CARDINAL
ap-768	195	2	czech	NORP
ap-768	195	3	zm n n	ORG
ap-768	195	4	jordan	GPE
ap-768	196	1	5	CARDINAL
ap-768	196	2	zn	ORG
ap-768	197	1	first	ORDINAL
ap-768	197	2	9	CARDINAL
ap-768	198	1	only two	CARDINAL
ap-768	198	2	first	ORDINAL
ap-768	198	3	one	CARDINAL
ap-768	198	4	zero	CARDINAL
ap-768	198	5	second	ORDINAL
ap-768	200	1	1	CARDINAL
ap-768	201	1	4.9	CARDINAL
ap-768	201	2	6	CARDINAL
ap-768	202	1	jiří tolar	PERSON
ap-768	203	1	doc	ORG
ap-768	203	2	edita pelantová	PERSON
ap-768	204	1	tolar	PERSON
ap-768	204	2	j.	PERSON
ap-768	207	1	20 (1984	DATE
ap-768	208	1	157–170	CARDINAL
ap-768	209	1	2	CARDINAL
ap-768	213	1	67	CARDINAL
ap-768	213	2	2004	DATE
ap-768	214	1	267–320	CARDINAL
ap-768	215	1	3	CARDINAL
ap-768	215	2	j.	GPE
ap-768	215	3	zassenhaus	GPE
ap-768	215	4	pauli	GPE
ap-768	216	1	j. math	PERSON
ap-768	218	1	29	CARDINAL
ap-768	218	2	1988	DATE
ap-768	218	3	665–673	CARDINAL
ap-768	219	1	4	CARDINAL
ap-768	219	2	m.	PERSON
ap-768	220	1	vol	PERSON
ap-768	221	1	125	CARDINAL
ap-768	221	2	1962	DATE
ap-768	222	1	1067	CARDINAL
ap-768	223	1	5	CARDINAL
ap-768	223	2	m.	PERSON
ap-768	223	3	j., pelantová	ORG
ap-768	223	4	tolar	PERSON
ap-768	223	5	j.	PERSON
ap-768	225	1	a. n. sissakian	PERSON
ap-768	225	2	g. s. pogosyan	PERSON
ap-768	225	3	l. g. mardoyan	PERSON
ap-768	225	4	dubna	GPE
ap-768	225	5	1 (2002	DATE
ap-768	225	6	57–61	CARDINAL
ap-768	226	1	6	CARDINAL
ap-768	226	2	m.	PERSON
ap-768	226	3	j., pelantová	ORG
ap-768	226	4	tolar	PERSON
ap-768	226	5	j.:	PERSON
ap-768	226	6	pauli	GPE
ap-768	227	1	j. math	PERSON
ap-768	230	1	43, 2002	DATE
ap-768	230	2	1083–1094	CARDINAL
ap-768	231	1	7	CARDINAL
ap-768	231	2	de montigny	PERSON
ap-768	231	3	m.	PERSON
ap-768	231	4	j.	PERSON
ap-768	231	5	algebras	ORG
ap-768	232	1	j. phys	PERSON
ap-768	234	1	gen.	PERSON
ap-768	234	2	24 (1991	DATE
ap-768	235	1	525–547	CARDINAL
ap-768	236	1	8	CARDINAL
ap-768	236	2	j.	PERSON
ap-768	236	3	pauli	GPE
ap-768	237	1	czech technical university	ORG
ap-768	237	2	2003	DATE
ap-768	238	1	9	CARDINAL
ap-768	238	2	a. a.:	PERSON
ap-768	238	3	new york	GPE
ap-768	238	4	1976	DATE
ap-768	239	1	10	CARDINAL
ap-768	239	2	hong	GPE
ap-768	239	3	gao	PERSON
ap-768	240	1	chinese	NORP
ap-768	240	2	39	CARDINAL
ap-768	240	3	1994	DATE
ap-768	240	4	14	CARDINAL
ap-768	240	5	1150–1154	CARDINAL
ap-768	241	1	11	CARDINAL
ap-768	241	2	a.:	PERSON
ap-768	241	3	czech	NORP
ap-768	241	4	2000	DATE
ap-768	242	1	12	CARDINAL
ap-768	242	2	j.	PERSON
ap-768	242	3	jordanische verallgemeinerung der eulerschen funktion	ORG
ap-768	243	1	resultate der mathematik	PERSON
ap-768	243	2	36 (1999	DATE
ap-768	243	3	354–364	CARDINAL
ap-768	244	1	13	CARDINAL
ap-768	244	2	r. l.	PERSON
ap-768	244	3	kmoth	PERSON
ap-768	244	4	d. e.	PERSON
ap-768	244	5	addison-wesley	ORG
ap-768	244	6	ma, 1994	ORG
ap-768	246	1	petr novotný	PERSON
ap-768	247	1	jiří hrivnák	PERSON
ap-768	247	2	department of physics czech technical university	ORG
ap-768	247	3	prague	GPE
ap-768	247	4	7 115	CARDINAL
ap-768	247	5	19	CARDINAL
ap-768	247	6	1	CARDINAL
ap-768	247	7	czech	NORP
ap-768	247	8	czech technical university publishing	ORG
ap-768	247	9	43	CARDINAL
ap-768	247	10	czech	NORP
ap-768	248	1	45	CARDINAL
ap-768	249	1	5/2005	CARDINAL