id	sid	eid	entity	type
ejpam-702	1	1	5_702_ozen.dvi	CARDINAL
ejpam-702	1	2	european	NORP
ejpam-702	2	1	3	CARDINAL
ejpam-702	2	2	4, 2010	DATE
ejpam-702	2	3	670	CARDINAL
ejpam-702	2	4	1307-5543	DATE
ejpam-702	2	5	mehmet özen∗	PERSON
ejpam-702	2	6	murat güzeltepe department	ORG
ejpam-702	2	7	tr54187	CARDINAL
ejpam-702	2	8	turkey	GPE
ejpam-702	5	1	2000	CARDINAL
ejpam-702	5	2	94b05	CARDINAL
ejpam-702	5	3	94b35	CARDINAL
ejpam-702	5	4	94b60	CARDINAL
ejpam-702	5	5	1	CARDINAL
ejpam-702	7	1	qam)-type	ORG
ejpam-702	7	2	1	CARDINAL
ejpam-702	7	3	2	CARDINAL
ejpam-702	8	1	manhattan	GPE
ejpam-702	8	2	two	CARDINAL
ejpam-702	8	3	2-d	QUANTITY
ejpam-702	9	1	two	CARDINAL
ejpam-702	10	1	1	CARDINAL
ejpam-702	10	2	one	CARDINAL
ejpam-702	10	3	3	CARDINAL
ejpam-702	11	1	2	CARDINAL
ejpam-702	12	1	3	CARDINAL
ejpam-702	12	2	eisenstein-jacobi	PERSON
ejpam-702	14	1	section 2	LAW
ejpam-702	16	1	section 3	LAW
ejpam-702	16	2	quaternion mannheim	ORG
ejpam-702	17	1	section 4	LAW
ejpam-702	17	2	four	CARDINAL
ejpam-702	19	1	m. özen	PERSON
ejpam-702	19	2	mguzeltepe�sakarya.edu.tr	ORG
ejpam-702	20	1	2010	DATE
ejpam-702	21	1	m. özen	PERSON
ejpam-702	21	2	m. güzeltepe	PERSON
ejpam-702	22	1	j. pure	PERSON
ejpam-702	22	2	3	CARDINAL
ejpam-702	22	3	2010	DATE
ejpam-702	22	4	670	CARDINAL
ejpam-702	23	1	1	CARDINAL
ejpam-702	24	1	hamilton	PERSON
ejpam-702	24	2	h(r	PERSON
ejpam-702	24	3	1	CARDINAL
ejpam-702	24	4	k	PERSON
ejpam-702	24	5	h(r	PERSON
ejpam-702	24	6	a0 + a1i+	MONEY
ejpam-702	25	1	∈	ORG
ejpam-702	25	2	1	DATE
ejpam-702	25	3	multiplicative	NORP
ejpam-702	25	4	−1	DATE
ejpam-702	27	1	= k	PERSON
ejpam-702	28	1	4	CARDINAL
ejpam-702	29	1	h(r	ORG
ejpam-702	30	1	4	CARDINAL
ejpam-702	31	1	57	CARDINAL
ejpam-702	35	1	3	CARDINAL
ejpam-702	36	1	two	CARDINAL
ejpam-702	44	1	r.	NORP
ejpam-702	44	2	m+ nv	GPE
ejpam-702	45	1	1	CARDINAL
ejpam-702	46	1	n(π	PERSON
ejpam-702	49	1	4	CARDINAL
ejpam-702	49	2	66	CARDINAL
ejpam-702	50	1	1	CARDINAL
ejpam-702	52	1	n(π	PERSON
ejpam-702	52	2	4	CARDINAL
ejpam-702	52	3	66	CARDINAL
ejpam-702	53	1	2	CARDINAL
ejpam-702	55	1	q−	DATE
ejpam-702	55	2	1	CARDINAL
ejpam-702	55	3	∈	ORG
ejpam-702	56	1	1	CARDINAL
ejpam-702	58	1	m. özen	PERSON
ejpam-702	58	2	m. güzeltepe	PERSON
ejpam-702	59	1	j. pure	PERSON
ejpam-702	59	2	3	CARDINAL
ejpam-702	59	3	2010	DATE
ejpam-702	59	4	670	CARDINAL
ejpam-702	59	5	677 672	CARDINAL
ejpam-702	60	1	1	CARDINAL
ejpam-702	61	1	µ(r +	LOC
ejpam-702	64	1	zp	ORG
ejpam-702	64	2	= kπ+ z	PERSON
ejpam-702	64	3	− kπ)(vπ	PERSON
ejpam-702	66	1	z = µ(q	ORG
ejpam-702	66	2	4	CARDINAL
ejpam-702	66	3	61	CARDINAL
ejpam-702	68	1	∈	ORG
ejpam-702	69	1	mod π	ORG
ejpam-702	71	1	dqm	ORG
ejpam-702	71	2	dqm	ORG
ejpam-702	72	1	dqm	ORG
ejpam-702	73	1	three	CARDINAL
ejpam-702	75	1	∈	ORG
ejpam-702	75	2	dqm	PERSON
ejpam-702	75	3	γ≡ δ2 (	ORG
ejpam-702	75	4	γ−	ORG
ejpam-702	75	5	n(δ3	NORP
ejpam-702	78	1	dqm	ORG
ejpam-702	80	1	m. özen	PERSON
ejpam-702	80	2	m. güzeltepe	PERSON
ejpam-702	81	1	j. pure	PERSON
ejpam-702	81	2	3	CARDINAL
ejpam-702	81	3	2010	DATE
ejpam-702	81	4	670	CARDINAL
ejpam-702	81	5	one	CARDINAL
ejpam-702	82	1	αp−1	PERSON
ejpam-702	82	2	1	CARDINAL
ejpam-702	83	1		ORG
ejpam-702	83	2		ORG
ejpam-702	83	3	0	CARDINAL
ejpam-702	85	1	0	CARDINAL
ejpam-702	85	2		PERSON
ejpam-702	86	1	one	CARDINAL
ejpam-702	86	2	1	CARDINAL
ejpam-702	86	3	2	CARDINAL
ejpam-702	88	1	one	CARDINAL
ejpam-702	88	2	1	CARDINAL
ejpam-702	88	3	-1	ORG
ejpam-702	90	1	1	CARDINAL
ejpam-702	91	1	s(r	GPE
ejpam-702	92	1	r.	PERSON
ejpam-702	92	2	1	CARDINAL
ejpam-702	92	3	2	CARDINAL
ejpam-702	93	1	one	CARDINAL
ejpam-702	95	1	1	CARDINAL
ejpam-702	96	1	2+	CARDINAL
ejpam-702	96	2	1− i−	TIME
ejpam-702	97	1		ORG
ejpam-702	97	2	 −α1	PRODUCT
ejpam-702	97	3	1	CARDINAL
ejpam-702	97	4	0	DATE
ejpam-702	97	5	0	CARDINAL
ejpam-702	97	6	1	CARDINAL
ejpam-702	99	1	0	CARDINAL
ejpam-702	99	2	0	CARDINAL
ejpam-702	99	3		PERSON
ejpam-702	101	1	0	DATE
ejpam-702	102	1	s(r	GPE
ejpam-702	103	1	4	CARDINAL
ejpam-702	106	1	2	CARDINAL
ejpam-702	106	2	4	CARDINAL
ejpam-702	107	1	−1	DATE
ejpam-702	109	1	1	DATE
ejpam-702	111	1	1	CARDINAL
ejpam-702	111	2	2	CARDINAL
ejpam-702	112	1	α(p r−1)/2−1 �	PERSON
ejpam-702	113	1	2	CARDINAL
ejpam-702	113	2	2	CARDINAL
ejpam-702	115	1	m. özen	PERSON
ejpam-702	115	2	m. güzeltepe	PERSON
ejpam-702	116	1	j. pure	PERSON
ejpam-702	116	2	3	CARDINAL
ejpam-702	116	3	2010	DATE
ejpam-702	116	4	670-677	CARDINAL
ejpam-702	117	1	2n	CARDINAL
ejpam-702	118	1	−1	DATE
ejpam-702	118	2	0	CARDINAL
ejpam-702	119	1		ORG
ejpam-702	119	2		LAW
ejpam-702	119	3	βn−1	PERSON
ejpam-702	120	1	β2t+1	DATE
ejpam-702	120	2	β2(2t+1	GPE
ejpam-702	120	3	n−1)(2t+1	GPE
ejpam-702	120	4		PERSON
ejpam-702	120	5	3	CARDINAL
ejpam-702	121	1	cn−1	NORP
ejpam-702	123	1	ci	PERSON
ejpam-702	124	1	0	CARDINAL
ejpam-702	126	1	β2t+1	DATE
ejpam-702	127	1	1	CARDINAL
ejpam-702	130	1	−1	DATE
ejpam-702	131	1	c(x	ORG
ejpam-702	133	1	one	CARDINAL
ejpam-702	133	2	cn−1	ORG
ejpam-702	133	3	first	ORDINAL
ejpam-702	134	1	2	CARDINAL
ejpam-702	135	1	3	CARDINAL
ejpam-702	139	1	j x j	PERSON
ejpam-702	139	2	0≤ wqm	GPE
ejpam-702	140	1	two	CARDINAL
ejpam-702	141	1	0 ≤	MONEY
ejpam-702	142	1	first	ORDINAL
ejpam-702	144	1	4	CARDINAL
ejpam-702	147	1	5	CARDINAL
ejpam-702	147	2	m. özen	PERSON
ejpam-702	147	3	m. güzeltepe	PERSON
ejpam-702	148	1	j. pure	PERSON
ejpam-702	148	2	3	CARDINAL
ejpam-702	148	3	2010	DATE
ejpam-702	148	4	670-677 675	CARDINAL
ejpam-702	149	1	1	CARDINAL
ejpam-702	149	2	3ǫβ	ORDINAL
ejpam-702	149	3	+ 3ǫβ l2 +	DATE
ejpam-702	149	4	6	CARDINAL
ejpam-702	149	5	1	CARDINAL
ejpam-702	149	6	3ǫ(β l1 +	WORK_OF_ART
ejpam-702	149	7	3(β	CARDINAL
ejpam-702	151	1	7	CARDINAL
ejpam-702	152	1	1	CARDINAL
ejpam-702	152	2	2	CARDINAL
ejpam-702	153	1	three	CARDINAL
ejpam-702	153	2	two	CARDINAL
ejpam-702	154	1	0	CARDINAL
ejpam-702	155	1	one	CARDINAL
ejpam-702	155	2	s3 1	CARDINAL
ejpam-702	155	3	two	CARDINAL
ejpam-702	155	4	1 6=	CARDINAL
ejpam-702	155	5	0	CARDINAL
ejpam-702	158	1	2	CARDINAL
ejpam-702	158	2	1+ 2i	CARDINAL
ejpam-702	158	3	j + 2k	LAW
ejpam-702	158	4	2	CARDINAL
ejpam-702	159	1	1	CARDINAL
ejpam-702	159	2	2	DATE
ejpam-702	161	1	3	DATE
ejpam-702	162	1	−1	DATE
ejpam-702	162	2	1	DATE
ejpam-702	163	1	3, 3	DATE
ejpam-702	163	2	1	DATE
ejpam-702	163	3	0	DATE
ejpam-702	163	4	−1	DATE
ejpam-702	163	5	1	CARDINAL
ejpam-702	164	1	2	CARDINAL
ejpam-702	164	2	1	CARDINAL
ejpam-702	164	3	3	CARDINAL
ejpam-702	166	1	6=	CARDINAL
ejpam-702	166	2	two	CARDINAL
ejpam-702	167	1	2	CARDINAL
ejpam-702	167	2	6	CARDINAL
ejpam-702	167	3	7	CARDINAL
ejpam-702	167	4	1− i−	TIME
ejpam-702	167	5	3	CARDINAL
ejpam-702	169	1	5≡ 5	DATE
ejpam-702	169	2	1	CARDINAL
ejpam-702	169	3	10≡ 4	DATE
ejpam-702	169	4	−1	DATE
ejpam-702	170	1	one	CARDINAL
ejpam-702	170	2	6	CARDINAL
ejpam-702	170	3	1	CARDINAL
ejpam-702	170	4	one	CARDINAL
ejpam-702	170	5	-1	ORG
ejpam-702	171	1	3	CARDINAL
ejpam-702	172	1	3	CARDINAL
ejpam-702	172	2	4	CARDINAL
ejpam-702	172	3	13	CARDINAL
ejpam-702	172	4	676	CARDINAL
ejpam-702	175	1	s3 1	CARDINAL
ejpam-702	175	2	0	CARDINAL
ejpam-702	177	1	5	CARDINAL
ejpam-702	177	2	±	CARDINAL
ejpam-702	177	3	2	CARDINAL
ejpam-702	178	1	2	CARDINAL
ejpam-702	179	1	5	CARDINAL
ejpam-702	180	1	one	CARDINAL
ejpam-702	183	1	k huber.	ORG
ejpam-702	185	1	40	DATE
ejpam-702	186	1	207-216	CARDINAL
ejpam-702	186	2	jan. 1994	DATE
ejpam-702	187	1	2	CARDINAL
ejpam-702	188	1	algebraic	PERSON
ejpam-702	188	2	laguna hills	GPE
ejpam-702	188	3	1984	DATE
ejpam-702	189	1	3	CARDINAL
ejpam-702	189	2	k huber.	ORG
ejpam-702	190	1	eisenstein-jacobi	PERSON
ejpam-702	194	1	158	CARDINAL
ejpam-702	195	1	165179, 1994	DATE
ejpam-702	196	1	4	CARDINAL
ejpam-702	199	1	ramanujan	GPE
ejpam-702	199	2	cambridge university	ORG
ejpam-702	199	3	pres	GPE
ejpam-702	199	4	2003	DATE
ejpam-702	200	1	677table 1	CARDINAL
ejpam-702	200	2	23	CARDINAL
ejpam-702	201	1	7	CARDINAL
ejpam-702	207	1	2	CARDINAL
ejpam-702	209	1	22	CARDINAL
ejpam-702	210	1	2 3i+ 3	CARDINAL
ejpam-702	210	2	3k	CARDINAL
ejpam-702	212	1	2	CARDINAL
ejpam-702	212	2	2k	CARDINAL
ejpam-702	212	3	2	CARDINAL
ejpam-702	212	4	1−	LANGUAGE
ejpam-702	213	1	x3 + 1	DATE
ejpam-702	216	1	2	CARDINAL
ejpam-702	216	2	− j− k	PERSON
ejpam-702	216	3	7 1−	TIME
ejpam-702	217	1	3	CARDINAL
ejpam-702	217	2	2	CARDINAL
ejpam-702	217	3	+ 1	DATE
ejpam-702	221	1	10	CARDINAL
ejpam-702	221	2	3 1−	TIME
ejpam-702	223	1	13	CARDINAL
ejpam-702	223	2	14	CARDINAL