1	All	all	_	DT	_	7	subj	_	_	_	_	_	_
2	that	that	_	WDT	_	1	relmod	_	_	_	_	_	_
3	is	be	_	VBZ	_	2	whcmp	_	_	_	_	_	_
4	left	leave	_	VBN	_	3	vch	_	_	_	_	_	_
5	to	to	_	TO	_	6	infmark	_	_	_	_	_	_
6	determine	determine	_	VB	_	4	purpcl	_	_	_	_	_	_
7	is	be	_	VBZ	_	0	ROOT	_	_	_	_	_	_
8	the	the	_	DT	_	9	det	_	_	_	_	_	_
9	case	case	_	NN	_	7	arg1	_	_	_	_	_	_
10	of	of	_	IN	_	9	prep	_	_	_	_	_	_
11	linking	link	_	VBG	_	10	pcomp	_	_	_	_	_	_
12	numbers	numbers	_	NNS	_	11	dobj	_	_	_	_	_	_
13	congruent	congruent	_	JJ	_	12	amod	_	_	_	_	_	_
14	to	to	_	TO	_	13	prep	_	_	_	_	_	_
15	0	0	_	CD	_	14	pcomp	_	_	_	_	_	_
16	modulo	modulo	_	IN	_	11	prep	_	_	_	_	_	_
17	4.	4.	_	CD	_	16	pcomp	_	_	_	_	_	_

1	I	i	_	PRP	_	3	subj	_	_	_	_	_	_
2	mathematically	mathematically	_	RB	_	3	advmod	_	_	_	_	_	_
3	proved	prove	_	VBD	_	0	ROOT	_	_	_	_	_	_
4	that	that	_	IN	_	3	dobj	_	_	_	_	_	_
5	the	the	_	DT	_	8	det	_	_	_	_	_	_
6	repeated	repeat	_	VBN	_	8	amod	_	_	_	_	_	_
7	addition	addition	_	NN	_	8	nn	_	_	_	_	_	_
8	process	process	_	NN	_	9	subj	_	_	_	_	_	_
9	is	be	_	VBZ	_	4	ccomp	_	_	_	_	_	_
10	the	the	_	DT	_	11	det	_	_	_	_	_	_
11	same	same	_	JJ	_	9	arg1	_	_	_	_	_	_
12	as	as	_	IN	_	11	prep	_	_	_	_	_	_
13	looking	look	_	VBG	_	12	pcomp	_	_	_	_	_	_
14	at	at	_	IN	_	13	prep	_	_	_	_	_	_
15	the	the	_	DT	_	16	det	_	_	_	_	_	_
16	number	number	_	NN	_	14	pcomp	_	_	_	_	_	_
17	modulo	modulo	_	IN	_	9	prep	_	_	_	_	_	_
18	9	9	_	CD	_	17	pcomp	_	_	_	_	_	_
19	,	,	_	,	_	18	punct	_	_	_	_	_	_
20	i.e.	e	_	NN	_	21	nn	_	_	_	_	_	_
21	divide	divide	_	NN	_	18	conj	_	_	_	_	_	_
22	by	by	_	IN	_	21	prep	_	_	_	_	_	_
23	9	9	_	CD	_	22	pcomp	_	_	_	_	_	_
24	and	and	_	CC	_	21	cc	_	_	_	_	_	_
25	look	look	_	VB	_	24	conj	_	_	_	_	_	_
26	at	at	_	IN	_	25	prep	_	_	_	_	_	_
27	the	the	_	DT	_	28	det	_	_	_	_	_	_
28	remainder	remainder	_	NN	_	26	pcomp	_	_	_	_	_	_
29	.	.	_	.	_	3	punct	_	_	_	_	_	_

1	In	in	_	IN	_	4	prep	_	_	_	_	_	_
2	particular	particular	_	JJ	_	1	pcomp	_	_	_	_	_	_
3	he	he	_	PRP	_	4	subj	_	_	_	_	_	_
4	examined	examine	_	VBD	_	0	ROOT	_	_	_	_	_	_
5	the	the	_	DT	_	6	det	_	_	_	_	_	_
6	remainders	remainder	_	NNS	_	4	dobj	_	_	_	_	_	_
7	of	of	_	IN	_	6	prep	_	_	_	_	_	_
8	powers	power	_	NNS	_	7	pcomp	_	_	_	_	_	_
9	of	of	_	IN	_	8	prep	_	_	_	_	_	_
10	a	a	_	DT	_	11	det	_	_	_	_	_	_
11	number	number	_	NN	_	9	pcomp	_	_	_	_	_	_
12	modulo	modulo	_	IN	_	4	prep	_	_	_	_	_	_
13	n.	n.	_	NN	_	12	pcomp	_	_	_	_	_	_

1	He	he	_	PRP	_	3	subj	_	_	_	_	_	_
2	also	also	_	RB	_	3	advmod	_	_	_	_	_	_
3	made	make	_	VBD	_	0	ROOT	_	_	_	_	_	_
4	contributions	contribution	_	NNS	_	3	dobj	_	_	_	_	_	_
5	on	on	_	IN	_	3	prep	_	_	_	_	_	_
6	the	the	_	DT	_	8	det	_	_	_	_	_	_
7	uniform	uniform	_	JJ	_	8	amod	_	_	_	_	_	_
8	distribution	distribution	_	NN	_	5	pcomp	_	_	_	_	_	_
9	of	of	_	IN	_	8	prep	_	_	_	_	_	_
10	numbers	numbers	_	NNS	_	9	pcomp	_	_	_	_	_	_
11	modulo	modulo	_	IN	_	3	prep	_	_	_	_	_	_
12	1	1	_	CD	_	11	pcomp	_	_	_	_	_	_
13	which	which	_	WDT	_	12	relmod	_	_	_	_	_	_
14	are	be	_	VBP	_	13	whcmp	_	_	_	_	_	_
15	fundamental	fundamental	_	JJ	_	14	arg1	_	_	_	_	_	_
16	in	in	_	IN	_	14	prep	_	_	_	_	_	_
17	analytic	analytic	_	JJ	_	18	amod	_	_	_	_	_	_
18	number	number	_	NN	_	19	nn	_	_	_	_	_	_
19	theory	theory	_	NN	_	16	pcomp	_	_	_	_	_	_
20	.	.	_	.	_	3	punct	_	_	_	_	_	_

1	Each	each	_	DT	_	2	det	_	_	_	_	_	_
2	time	time	_	NN	_	12	tmod	_	_	_	_	_	_
3	you	you	_	PRP	_	4	subj	_	_	_	_	_	_
4	are	be	_	VBP	_	2	rcmod	_	_	_	_	_	_
5	ready	ready	_	JJ	_	4	arg1	_	_	_	_	_	_
6	to	to	_	TO	_	7	infmark	_	_	_	_	_	_
7	make	make	_	VB	_	5	infmod	_	_	_	_	_	_
8	a	a	_	DT	_	9	det	_	_	_	_	_	_
9	flip	flip	_	NN	_	7	dobj	_	_	_	_	_	_
10	,	,	_	,	_	12	punct	_	_	_	_	_	_
11	you	you	_	PRP	_	12	subj	_	_	_	_	_	_
12	note	note	_	VBP	_	0	ROOT	_	_	_	_	_	_
13	the	the	_	DT	_	14	det	_	_	_	_	_	_
14	number	number	_	NN	_	12	dobj	_	_	_	_	_	_
15	that	that	_	WDT	_	14	relmod	_	_	_	_	_	_
16	appears	appear	_	VBZ	_	15	whcmp	_	_	_	_	_	_
17	in	in	_	IN	_	16	prep	_	_	_	_	_	_
18	the	the	_	DT	_	21	det	_	_	_	_	_	_
19	upper	upper	_	JJ	_	21	amod	_	_	_	_	_	_
20	righthand	righthand	_	JJ	_	21	amod	_	_	_	_	_	_
21	corner	corner	_	NN	_	17	pcomp	_	_	_	_	_	_
22	,	,	_	,	_	12	punct	_	_	_	_	_	_
23	and	and	_	CC	_	12	cc	_	_	_	_	_	_
24	calculate	calculate	_	VB	_	23	conj	_	_	_	_	_	_
25	the	the	_	DT	_	26	det	_	_	_	_	_	_
26	successor	successor	_	NN	_	24	dobj	_	_	_	_	_	_
27	of	of	_	IN	_	26	prep	_	_	_	_	_	_
28	that	that	_	DT	_	29	det	_	_	_	_	_	_
29	number	number	_	NN	_	27	pcomp	_	_	_	_	_	_
30	modulo	modulo	_	IN	_	29	prep	_	_	_	_	_	_
31	4.	4.	_	CD	_	30	pcomp	_	_	_	_	_	_