id	sid	tid	token	lemma	pos
ddj-177	1	1	microsoft	microsoft	PROPN
ddj-177	1	2	word	word	PROPN
ddj-177	1	3	richardamoroso_v11n1	richardamoroso_v11n1	PROPN
ddj-177	1	4	dna	dna	PROPN
ddj-177	1	5	decipher	decipher	PROPN
ddj-177	1	6	journal	journal	PROPN
ddj-177	1	7	|	|	ADV
ddj-177	1	8	october	october	PROPN
ddj-177	1	9	2021	2021	NUM
ddj-177	1	10	|	|	ADV
ddj-177	1	11	volume	volume	NOUN
ddj-177	1	12	11	11	NUM
ddj-177	1	13	|	|	NOUN
ddj-177	1	14	issue	issue	VERB
ddj-177	1	15	1	1	NUM
ddj-177	1	16	|	|	ADV
ddj-177	1	17	pp	pp	ADV
ddj-177	1	18	01	01	NUM
ddj-177	1	19	-	-	SYM
ddj-177	1	20	10	10	NUM
ddj-177	1	21	amoroso	amoroso	PROPN
ddj-177	1	22	,	,	PUNCT
ddj-177	1	23	r.	r.	PROPN
ddj-177	1	24	l.	l.	PROPN
ddj-177	1	25	&	&	CCONJ
ddj-177	1	26	rowlands	rowlands	PROPN
ddj-177	1	27	,	,	PUNCT
ddj-177	1	28	p.	p.	NOUN
ddj-177	1	29	,	,	PUNCT
ddj-177	1	30	algebraic	algebraic	ADJ
ddj-177	1	31	and	and	CCONJ
ddj-177	1	32	geometric	geometric	ADJ
ddj-177	1	33	representations	representation	NOUN
ddj-177	1	34	of	of	ADP
ddj-177	1	35	the	the	DET
ddj-177	1	36	genetic	genetic	ADJ
ddj-177	1	37	code	code	NOUN
ddj-177	1	38	issn	issn	NOUN
ddj-177	1	39	:	:	PUNCT
ddj-177	1	40	2159	2159	NUM
ddj-177	1	41	-	-	PUNCT
ddj-177	1	42	046x	046x	NOUN
ddj-177	1	43	dna	dna	NOUN
ddj-177	1	44	decipher	decipher	PROPN
ddj-177	1	45	journal	journal	NOUN
ddj-177	1	46	published	publish	VERB
ddj-177	1	47	by	by	ADP
ddj-177	1	48	quantumdream	quantumdream	PROPN
ddj-177	1	49	,	,	PUNCT
ddj-177	1	50	inc	inc	PROPN
ddj-177	1	51	.	.	PROPN
ddj-177	1	52	www.dnadecipher.com	www.dnadecipher.com	X
ddj-177	2	1	1	1	NUM
ddj-177	2	2	article	article	NOUN
ddj-177	2	3	algebraic	algebraic	ADJ
ddj-177	2	4	and	and	CCONJ
ddj-177	2	5	geometric	geometric	ADJ
ddj-177	2	6	representations	representation	NOUN
ddj-177	2	7	of	of	ADP
ddj-177	2	8	the	the	DET
ddj-177	2	9	genetic	genetic	PROPN
ddj-177	2	10	code	code	PROPN
ddj-177	2	11	richard	richard	PROPN
ddj-177	2	12	l	l	PROPN
ddj-177	2	13	amoroso	amoroso	PROPN
ddj-177	2	14	,1	,1	PROPN
ddj-177	2	15	,	,	PUNCT
ddj-177	2	16	peter	peter	PROPN
ddj-177	2	17	rowlands	rowland	VERB
ddj-177	2	18	2	2	NUM
ddj-177	2	19	1noetic	1noetic	NUM
ddj-177	2	20	advanced	advanced	ADJ
ddj-177	2	21	studies	study	NOUN
ddj-177	2	22	institute	institute	PROPN
ddj-177	2	23	,	,	PUNCT
ddj-177	2	24	usa	usa	PROPN
ddj-177	2	25	2university	2university	PROPN
ddj-177	2	26	of	of	ADP
ddj-177	2	27	liverpool	liverpool	PROPN
ddj-177	2	28	,	,	PUNCT
ddj-177	2	29	uk	uk	PROPN
ddj-177	2	30	abstract	abstract	ADV
ddj-177	2	31	algebraic	algebraic	ADJ
ddj-177	2	32	and	and	CCONJ
ddj-177	2	33	geometric	geometric	ADJ
ddj-177	2	34	representations	representation	NOUN
ddj-177	2	35	of	of	ADP
ddj-177	2	36	the	the	DET
ddj-177	2	37	genetic	genetic	ADJ
ddj-177	2	38	code	code	NOUN
ddj-177	2	39	are	be	AUX
ddj-177	2	40	used	use	VERB
ddj-177	2	41	to	to	PART
ddj-177	2	42	show	show	VERB
ddj-177	2	43	their	their	PRON
ddj-177	2	44	functions	function	NOUN
ddj-177	2	45	for	for	ADP
ddj-177	2	46	coding	code	VERB
ddj-177	2	47	amino	amino	ADJ
ddj-177	2	48	acids	acid	NOUN
ddj-177	2	49	.	.	PUNCT
ddj-177	3	1	the	the	DET
ddj-177	3	2	algebra	algebra	NOUN
ddj-177	3	3	is	be	AUX
ddj-177	3	4	a	a	DET
ddj-177	3	5	64	64	NUM
ddj-177	3	6	-	-	PUNCT
ddj-177	3	7	part	part	NOUN
ddj-177	3	8	vector	vector	NOUN
ddj-177	3	9	quaternion	quaternion	NOUN
ddj-177	3	10	combination	combination	NOUN
ddj-177	3	11	,	,	PUNCT
ddj-177	3	12	and	and	CCONJ
ddj-177	3	13	the	the	DET
ddj-177	3	14	related	related	ADJ
ddj-177	3	15	geometry	geometry	NOUN
ddj-177	3	16	is	be	AUX
ddj-177	3	17	based	base	VERB
ddj-177	3	18	on	on	ADP
ddj-177	3	19	the	the	DET
ddj-177	3	20	structure	structure	NOUN
ddj-177	3	21	of	of	ADP
ddj-177	3	22	the	the	DET
ddj-177	3	23	regular	regular	ADJ
ddj-177	3	24	icosidodecahedron	icosidodecahedron	NOUN
ddj-177	3	25	.	.	PUNCT
ddj-177	4	1	an	an	DET
ddj-177	4	2	almost	almost	ADV
ddj-177	4	3	perfect	perfect	ADJ
ddj-177	4	4	pattern	pattern	NOUN
ddj-177	4	5	suggesting	suggest	VERB
ddj-177	4	6	that	that	SCONJ
ddj-177	4	7	this	this	PRON
ddj-177	4	8	is	be	AUX
ddj-177	4	9	a	a	DET
ddj-177	4	10	biologically	biologically	ADV
ddj-177	4	11	significant	significant	ADJ
ddj-177	4	12	way	way	NOUN
ddj-177	4	13	of	of	ADP
ddj-177	4	14	representing	represent	VERB
ddj-177	4	15	the	the	DET
ddj-177	4	16	genetic	genetic	ADJ
ddj-177	4	17	code	code	NOUN
ddj-177	4	18	that	that	PRON
ddj-177	4	19	may	may	AUX
ddj-177	4	20	lead	lead	VERB
ddj-177	4	21	to	to	ADP
ddj-177	4	22	a	a	DET
ddj-177	4	23	deeper	deep	ADJ
ddj-177	4	24	understanding	understanding	NOUN
ddj-177	4	25	of	of	ADP
ddj-177	4	26	a	a	DET
ddj-177	4	27	relationship	relationship	NOUN
ddj-177	4	28	between	between	ADP
ddj-177	4	29	geometry	geometry	NOUN
ddj-177	4	30	and	and	CCONJ
ddj-177	4	31	teleological	teleological	ADJ
ddj-177	4	32	life	life	NOUN
ddj-177	4	33	principles	principle	NOUN
ddj-177	4	34	of	of	ADP
ddj-177	4	35	complex	complex	ADJ
ddj-177	4	36	self	self	NOUN
ddj-177	4	37	-	-	PUNCT
ddj-177	4	38	organization	organization	NOUN
ddj-177	4	39	.	.	PUNCT
ddj-177	5	1	keywords	keyword	NOUN
ddj-177	5	2	:	:	PUNCT
ddj-177	5	3	genetic	genetic	ADJ
ddj-177	5	4	code	code	NOUN
ddj-177	5	5	,	,	PUNCT
ddj-177	5	6	triplet	triplet	NOUN
ddj-177	5	7	codons	codon	NOUN
ddj-177	5	8	,	,	PUNCT
ddj-177	5	9	amino	amino	NOUN
ddj-177	5	10	acids	acid	NOUN
ddj-177	5	11	,	,	PUNCT
ddj-177	5	12	vector	vector	NOUN
ddj-177	5	13	-	-	PUNCT
ddj-177	5	14	quaternion	quaternion	NOUN
ddj-177	5	15	algebra	algebra	NOUN
ddj-177	5	16	,	,	PUNCT
ddj-177	5	17	teleology	teleology	NOUN
ddj-177	5	18	,	,	PUNCT
ddj-177	5	19	icosidodecahedron	icosidodecahedron	PROPN
ddj-177	5	20	.	.	PUNCT
ddj-177	6	1	1	1	X
ddj-177	6	2	.	.	X
ddj-177	6	3	introduction	introduction	NOUN
ddj-177	6	4	we	we	PRON
ddj-177	6	5	explore	explore	VERB
ddj-177	6	6	an	an	DET
ddj-177	6	7	interesting	interesting	ADJ
ddj-177	6	8	way	way	NOUN
ddj-177	6	9	to	to	PART
ddj-177	6	10	represent	represent	VERB
ddj-177	6	11	the	the	DET
ddj-177	6	12	genetic	genetic	ADJ
ddj-177	6	13	code	code	NOUN
ddj-177	6	14	using	use	VERB
ddj-177	6	15	a	a	DET
ddj-177	6	16	correspondence	correspondence	NOUN
ddj-177	6	17	between	between	ADP
ddj-177	6	18	algebra	algebra	NOUN
ddj-177	6	19	and	and	CCONJ
ddj-177	6	20	geometry	geometry	NOUN
ddj-177	6	21	.	.	PUNCT
ddj-177	7	1	the	the	DET
ddj-177	7	2	algebraic	algebraic	ADJ
ddj-177	7	3	component	component	NOUN
ddj-177	7	4	is	be	AUX
ddj-177	7	5	based	base	VERB
ddj-177	7	6	on	on	ADP
ddj-177	7	7	an	an	DET
ddj-177	7	8	icosian	icosian	ADJ
ddj-177	7	9	calculus	calculus	NOUN
ddj-177	7	10	with	with	ADP
ddj-177	7	11	a	a	DET
ddj-177	7	12	noncommutative	noncommutative	ADJ
ddj-177	7	13	algebraic	algebraic	ADJ
ddj-177	7	14	structure	structure	NOUN
ddj-177	7	15	discovered	discover	VERB
ddj-177	7	16	by	by	ADP
ddj-177	7	17	william	william	PROPN
ddj-177	7	18	rowan	rowan	PROPN
ddj-177	7	19	hamilton	hamilton	PROPN
ddj-177	7	20	in	in	ADP
ddj-177	7	21	1856	1856	NUM
ddj-177	7	22	,	,	PUNCT
ddj-177	7	23	which	which	PRON
ddj-177	7	24	he	he	PRON
ddj-177	7	25	called	call	VERB
ddj-177	7	26	quaternions	quaternion	NOUN
ddj-177	7	27	.	.	PUNCT
ddj-177	8	1	in	in	ADP
ddj-177	8	2	modern	modern	ADJ
ddj-177	8	3	terms	term	NOUN
ddj-177	8	4	,	,	PUNCT
ddj-177	8	5	hamilton	hamilton	PROPN
ddj-177	8	6	produced	produce	VERB
ddj-177	8	7	a	a	DET
ddj-177	8	8	group	group	NOUN
ddj-177	8	9	presentation	presentation	NOUN
ddj-177	8	10	of	of	ADP
ddj-177	8	11	the	the	DET
ddj-177	8	12	icosahedral	icosahedral	ADJ
ddj-177	8	13	rotation	rotation	NOUN
ddj-177	8	14	group	group	NOUN
ddj-177	8	15	by	by	ADP
ddj-177	8	16	generators	generator	NOUN
ddj-177	8	17	and	and	CCONJ
ddj-177	8	18	relations	relation	NOUN
ddj-177	8	19	.	.	PUNCT
ddj-177	9	1	hamilton	hamilton	PROPN
ddj-177	9	2	’s	’s	PART
ddj-177	9	3	discovery	discovery	PROPN
ddj-177	9	4	was	be	AUX
ddj-177	9	5	derived	derive	VERB
ddj-177	9	6	from	from	ADP
ddj-177	9	7	his	his	PRON
ddj-177	9	8	attempts	attempt	NOUN
ddj-177	9	9	to	to	PART
ddj-177	9	10	find	find	VERB
ddj-177	9	11	an	an	DET
ddj-177	9	12	algebra	algebra	NOUN
ddj-177	9	13	of	of	ADP
ddj-177	9	14	‘	'	PUNCT
ddj-177	9	15	triplets	triplet	NOUN
ddj-177	9	16	’	'	PUNCT
ddj-177	9	17	that	that	PRON
ddj-177	9	18	he	he	PRON
ddj-177	9	19	believed	believe	VERB
ddj-177	9	20	would	would	AUX
ddj-177	9	21	reflect	reflect	VERB
ddj-177	9	22	the	the	DET
ddj-177	9	23	three	three	NUM
ddj-177	9	24	cartesian	cartesian	ADJ
ddj-177	9	25	axes	axis	NOUN
ddj-177	9	26	in	in	ADP
ddj-177	9	27	a	a	DET
ddj-177	9	28	manner	manner	NOUN
ddj-177	9	29	extending	extend	VERB
ddj-177	9	30	the	the	DET
ddj-177	9	31	complex	complex	ADJ
ddj-177	9	32	numbers	number	NOUN
ddj-177	9	33	,	,	PUNCT
ddj-177	9	34	which	which	PRON
ddj-177	9	35	took	take	VERB
ddj-177	9	36	the	the	DET
ddj-177	9	37	form	form	NOUN
ddj-177	9	38	,	,	PUNCT
ddj-177	9	39	2	2	NUM
ddj-177	9	40	2	2	NUM
ddj-177	9	41	2	2	NUM
ddj-177	9	42	1i	1i	NOUN
ddj-177	9	43	j	j	PROPN
ddj-177	9	44	k	k	PROPN
ddj-177	9	45	ijk	ijk	PROPN
ddj-177	10	1			PROPN
ddj-177	10	2			NUM
ddj-177	10	3			PROPN
ddj-177	10	4			NOUN
ddj-177	10	5	.	.	PUNCT
ddj-177	11	1	the	the	DET
ddj-177	11	2	symbols	symbol	NOUN
ddj-177	11	3	of	of	ADP
ddj-177	11	4	the	the	DET
ddj-177	11	5	icosian	icosian	ADJ
ddj-177	11	6	calculus	calculus	NOUN
ddj-177	11	7	can	can	AUX
ddj-177	11	8	be	be	AUX
ddj-177	11	9	equated	equate	VERB
ddj-177	11	10	to	to	ADP
ddj-177	11	11	moves	move	NOUN
ddj-177	11	12	between	between	ADP
ddj-177	11	13	vertices	vertex	NOUN
ddj-177	11	14	on	on	ADP
ddj-177	11	15	a	a	DET
ddj-177	11	16	dodecahedron	dodecahedron	NOUN
ddj-177	11	17	.	.	PUNCT
ddj-177	12	1	2	2	X
ddj-177	12	2	.	.	X
ddj-177	12	3	the	the	DET
ddj-177	12	4	algebraic	algebraic	ADJ
ddj-177	12	5	representation	representation	NOUN
ddj-177	12	6	in	in	ADP
ddj-177	12	7	previous	previous	ADJ
ddj-177	12	8	work	work	NOUN
ddj-177	12	9	[	[	X
ddj-177	12	10	1	1	NUM
ddj-177	12	11	-	-	SYM
ddj-177	12	12	3	3	NUM
ddj-177	12	13	]	]	PUNCT
ddj-177	12	14	we	we	PRON
ddj-177	12	15	have	have	AUX
ddj-177	12	16	used	use	VERB
ddj-177	12	17	various	various	ADJ
ddj-177	12	18	mathematical	mathematical	ADJ
ddj-177	12	19	structures	structure	NOUN
ddj-177	12	20	to	to	PART
ddj-177	12	21	represent	represent	VERB
ddj-177	12	22	the	the	DET
ddj-177	12	23	genetic	genetic	ADJ
ddj-177	12	24	code	code	NOUN
ddj-177	12	25	,	,	PUNCT
ddj-177	12	26	including	include	VERB
ddj-177	12	27	a	a	DET
ddj-177	12	28	64	64	NUM
ddj-177	12	29	-	-	PUNCT
ddj-177	12	30	part	part	NOUN
ddj-177	12	31	vector	vector	NOUN
ddj-177	12	32	quaternion	quaternion	NOUN
ddj-177	12	33	algebra	algebra	NOUN
ddj-177	12	34	,	,	PUNCT
ddj-177	12	35	which	which	PRON
ddj-177	12	36	is	be	AUX
ddj-177	12	37	isomorphic	isomorphic	ADJ
ddj-177	12	38	to	to	ADP
ddj-177	12	39	the	the	DET
ddj-177	12	40	algebra	algebra	NOUN
ddj-177	12	41	of	of	ADP
ddj-177	12	42	the	the	DET
ddj-177	12	43	quantum	quantum	ADJ
ddj-177	12	44	mechanical	mechanical	ADJ
ddj-177	12	45	dirac	dirac	NOUN
ddj-177	12	46	equation	equation	NOUN
ddj-177	12	47	,	,	PUNCT
ddj-177	12	48	and	and	CCONJ
ddj-177	12	49	a	a	DET
ddj-177	12	50	combination	combination	NOUN
ddj-177	12	51	of	of	ADP
ddj-177	12	52	the	the	DET
ddj-177	12	53	faces	face	NOUN
ddj-177	12	54	and	and	CCONJ
ddj-177	12	55	vertices	vertex	NOUN
ddj-177	12	56	of	of	ADP
ddj-177	12	57	a	a	DET
ddj-177	12	58	regular	regular	ADJ
ddj-177	12	59	icosidodecahedron	icosidodecahedron	NOUN
ddj-177	12	60	.	.	PUNCT
ddj-177	13	1	here	here	ADV
ddj-177	13	2	,	,	PUNCT
ddj-177	13	3	we	we	PRON
ddj-177	13	4	aim	aim	VERB
ddj-177	13	5	to	to	PART
ddj-177	13	6	show	show	VERB
ddj-177	13	7	that	that	SCONJ
ddj-177	13	8	it	it	PRON
ddj-177	13	9	is	be	AUX
ddj-177	13	10	possible	possible	ADJ
ddj-177	13	11	to	to	PART
ddj-177	13	12	represent	represent	VERB
ddj-177	13	13	the	the	DET
ddj-177	13	14	codon	codon	NOUN
ddj-177	13	15	structures	structure	NOUN
ddj-177	13	16	both	both	CCONJ
ddj-177	13	17	algebraically	algebraically	ADV
ddj-177	13	18	and	and	CCONJ
ddj-177	13	19	geometrically	geometrically	ADV
ddj-177	13	20	in	in	ADP
ddj-177	13	21	a	a	DET
ddj-177	13	22	way	way	NOUN
ddj-177	13	23	that	that	PRON
ddj-177	13	24	relates	relate	VERB
ddj-177	13	25	to	to	ADP
ddj-177	13	26	their	their	PRON
ddj-177	13	27	function	function	NOUN
ddj-177	13	28	in	in	ADP
ddj-177	13	29	coding	code	VERB
ddj-177	13	30	for	for	ADP
ddj-177	13	31	amino	amino	NOUN
ddj-177	13	32	acids	acid	NOUN
ddj-177	13	33	.	.	PUNCT
ddj-177	14	1	correspondence	correspondence	NOUN
ddj-177	14	2	:	:	PUNCT
ddj-177	14	3	prof	prof	PROPN
ddj-177	14	4	.	.	PUNCT
ddj-177	15	1	richard	richard	PROPN
ddj-177	15	2	l.	l.	PROPN
ddj-177	15	3	amoroso	amoroso	PROPN
ddj-177	15	4	,	,	PUNCT
ddj-177	15	5	director	director	NOUN
ddj-177	15	6	of	of	ADP
ddj-177	15	7	physics	physics	NOUN
ddj-177	15	8	lab	lab	PROPN
ddj-177	15	9	.	.	PUNCT
ddj-177	15	10	,	,	PUNCT
ddj-177	15	11	noetic	noetic	ADJ
ddj-177	15	12	advanced	advanced	ADJ
ddj-177	15	13	studies	study	NOUN
ddj-177	15	14	institute	institute	PROPN
ddj-177	15	15	,	,	PUNCT
ddj-177	15	16	utah	utah	PROPN
ddj-177	15	17	,	,	PUNCT
ddj-177	15	18	usa	usa	PROPN
ddj-177	15	19	.	.	PROPN
ddj-177	15	20	https://orcid.org/0000-0003-2405-9034	https://orcid.org/0000-0003-2405-9034	PROPN
ddj-177	15	21	;	;	PUNCT
ddj-177	15	22	http://www.noeticadvancedstudies.us	http://www.noeticadvancedstudies.us	NUM
ddj-177	15	23	e	e	NOUN
ddj-177	15	24	-	-	NOUN
ddj-177	15	25	mail	mail	NOUN
ddj-177	15	26	:	:	PUNCT
ddj-177	15	27	amoroso@noeticadvancestudies.us	amoroso@noeticadvancestudies.us	PROPN
ddj-177	15	28	dna	dna	PROPN
ddj-177	15	29	decipher	decipher	PROPN
ddj-177	15	30	journal	journal	PROPN
ddj-177	15	31	|	|	ADV
ddj-177	15	32	october	october	PROPN
ddj-177	15	33	2021	2021	NUM
ddj-177	15	34	|	|	ADV
ddj-177	15	35	volume	volume	NOUN
ddj-177	15	36	11	11	NUM
ddj-177	15	37	|	|	NOUN
ddj-177	15	38	issue	issue	VERB
ddj-177	15	39	1	1	NUM
ddj-177	16	1	|	|	ADV
ddj-177	16	2	pp	pp	ADV
ddj-177	16	3	01	01	NUM
ddj-177	16	4	-	-	SYM
ddj-177	16	5	10	10	NUM
ddj-177	16	6	amoroso	amoroso	PROPN
ddj-177	16	7	,	,	PUNCT
ddj-177	16	8	r.	r.	PROPN
ddj-177	16	9	l.	l.	PROPN
ddj-177	16	10	&	&	CCONJ
ddj-177	16	11	rowlands	rowlands	PROPN
ddj-177	16	12	,	,	PUNCT
ddj-177	16	13	p.	p.	NOUN
ddj-177	16	14	,	,	PUNCT
ddj-177	16	15	algebraic	algebraic	ADJ
ddj-177	16	16	and	and	CCONJ
ddj-177	16	17	geometric	geometric	ADJ
ddj-177	16	18	representations	representation	NOUN
ddj-177	16	19	of	of	ADP
ddj-177	16	20	the	the	DET
ddj-177	16	21	genetic	genetic	ADJ
ddj-177	16	22	code	code	NOUN
ddj-177	16	23	issn	issn	NOUN
ddj-177	16	24	:	:	PUNCT
ddj-177	16	25	2159	2159	NUM
ddj-177	16	26	-	-	PUNCT
ddj-177	16	27	046x	046x	NOUN
ddj-177	16	28	dna	dna	NOUN
ddj-177	16	29	decipher	decipher	PROPN
ddj-177	16	30	journal	journal	NOUN
ddj-177	16	31	published	publish	VERB
ddj-177	16	32	by	by	ADP
ddj-177	16	33	quantumdream	quantumdream	PROPN
ddj-177	16	34	,	,	PUNCT
ddj-177	16	35	inc	inc	PROPN
ddj-177	16	36	.	.	PROPN
ddj-177	16	37	www.dnadecipher.com	www.dnadecipher.com	X
ddj-177	16	38	2	2	X
ddj-177	16	39	it	it	PRON
ddj-177	16	40	is	be	AUX
ddj-177	16	41	based	base	VERB
ddj-177	16	42	on	on	ADP
ddj-177	16	43	a	a	DET
ddj-177	16	44	vector	vector	NOUN
ddj-177	16	45	-	-	PUNCT
ddj-177	16	46	quaternion	quaternion	NOUN
ddj-177	16	47	algebra	algebra	NOUN
ddj-177	16	48	whose	whose	DET
ddj-177	16	49	units	unit	NOUN
ddj-177	16	50	can	can	AUX
ddj-177	16	51	be	be	AUX
ddj-177	16	52	represented	represent	VERB
ddj-177	16	53	as	as	SCONJ
ddj-177	16	54	follows	follow	VERB
ddj-177	16	55	[	[	X
ddj-177	16	56	4	4	NUM
ddj-177	16	57	-	-	SYM
ddj-177	16	58	6	6	NUM
ddj-177	16	59	]	]	PUNCT
ddj-177	16	60	:	:	PUNCT
ddj-177	17	1	i	i	PRON
ddj-177	17	2	j	j	PROPN
ddj-177	18	1	k	k	PROPN
ddj-177	18	2	vector	vector	NOUN
ddj-177	18	3	i	i	PRON
ddj-177	18	4	pseudoscalar	pseudoscalar	ADV
ddj-177	19	1	i	i	PRON
ddj-177	19	2	j	j	PROPN
ddj-177	20	1	k	k	PROPN
ddj-177	20	2	quaternion	quaternion	VERB
ddj-177	20	3	1	1	NUM
ddj-177	20	4	scalar	scalar	NOUN
ddj-177	20	5	they	they	PRON
ddj-177	20	6	can	can	AUX
ddj-177	20	7	be	be	AUX
ddj-177	20	8	considered	consider	VERB
ddj-177	20	9	as	as	SCONJ
ddj-177	20	10	the	the	DET
ddj-177	20	11	units	unit	NOUN
ddj-177	20	12	of	of	ADP
ddj-177	20	13	two	two	NUM
ddj-177	20	14	spaces	space	NOUN
ddj-177	20	15	:	:	PUNCT
ddj-177	20	16	(	(	PUNCT
ddj-177	20	17	‘	'	PUNCT
ddj-177	20	18	real	real	ADJ
ddj-177	20	19	’	'	PUNCT
ddj-177	20	20	,	,	PUNCT
ddj-177	20	21	constructed	construct	VERB
ddj-177	20	22	from	from	ADP
ddj-177	20	23	i	i	PROPN
ddj-177	20	24	,	,	PUNCT
ddj-177	20	25	j	j	PROPN
ddj-177	20	26	,	,	PUNCT
ddj-177	20	27	k	k	PROPN
ddj-177	20	28	)	)	PUNCT
ddj-177	20	29	and	and	CCONJ
ddj-177	20	30	(	(	PUNCT
ddj-177	20	31	‘	'	PUNCT
ddj-177	20	32	vacuum	vacuum	NOUN
ddj-177	20	33	’	'	PUNCT
ddj-177	20	34	,	,	PUNCT
ddj-177	20	35	constructed	construct	VERB
ddj-177	20	36	from	from	ADP
ddj-177	20	37	i	i	PRON
ddj-177	20	38	,	,	PUNCT
ddj-177	20	39	i	i	PROPN
ddj-177	20	40	,	,	PUNCT
ddj-177	20	41	j	j	PROPN
ddj-177	20	42	,	,	PUNCT
ddj-177	20	43	k	k	PROPN
ddj-177	20	44	,	,	PUNCT
ddj-177	20	45	1	1	NUM
ddj-177	20	46	)	)	PUNCT
ddj-177	20	47	.	.	PUNCT
ddj-177	21	1	in	in	ADP
ddj-177	21	2	principle	principle	NOUN
ddj-177	21	3	,	,	PUNCT
ddj-177	21	4	any	any	DET
ddj-177	21	5	self	self	NOUN
ddj-177	21	6	-	-	PUNCT
ddj-177	21	7	organizing	organize	VERB
ddj-177	21	8	system	system	NOUN
ddj-177	21	9	,	,	PUNCT
ddj-177	21	10	whether	whether	SCONJ
ddj-177	21	11	physical	physical	ADJ
ddj-177	21	12	,	,	PUNCT
ddj-177	21	13	chemical	chemical	NOUN
ddj-177	21	14	or	or	CCONJ
ddj-177	21	15	biological	biological	ADJ
ddj-177	21	16	,	,	PUNCT
ddj-177	21	17	forms	form	VERB
ddj-177	21	18	a	a	DET
ddj-177	21	19	space	space	NOUN
ddj-177	21	20	,	,	PUNCT
ddj-177	21	21	which	which	PRON
ddj-177	21	22	has	have	VERB
ddj-177	21	23	a	a	DET
ddj-177	21	24	kind	kind	NOUN
ddj-177	21	25	of	of	ADP
ddj-177	21	26	distorted	distorted	ADJ
ddj-177	21	27	mirror	mirror	NOUN
ddj-177	21	28	image	image	NOUN
ddj-177	21	29	in	in	ADP
ddj-177	21	30	another	another	DET
ddj-177	21	31	‘	'	PUNCT
ddj-177	21	32	space	space	NOUN
ddj-177	21	33	’	'	PUNCT
ddj-177	21	34	representing	represent	VERB
ddj-177	21	35	the	the	DET
ddj-177	21	36	rest	rest	NOUN
ddj-177	21	37	of	of	ADP
ddj-177	21	38	the	the	DET
ddj-177	21	39	universe	universe	NOUN
ddj-177	21	40	.	.	PUNCT
ddj-177	22	1	the	the	DET
ddj-177	22	2	double	double	ADJ
ddj-177	22	3	space	space	NOUN
ddj-177	22	4	creates	create	VERB
ddj-177	22	5	the	the	DET
ddj-177	22	6	entire	entire	ADJ
ddj-177	22	7	combination	combination	NOUN
ddj-177	22	8	of	of	ADP
ddj-177	22	9	system	system	NOUN
ddj-177	22	10	and	and	CCONJ
ddj-177	22	11	‘	'	PUNCT
ddj-177	22	12	vacuum	vacuum	NOUN
ddj-177	22	13	’	'	PUNCT
ddj-177	22	14	as	as	ADP
ddj-177	22	15	a	a	DET
ddj-177	22	16	zero	zero	NUM
ddj-177	22	17	totality	totality	NOUN
ddj-177	22	18	.	.	PUNCT
ddj-177	23	1	in	in	ADP
ddj-177	23	2	principle	principle	NOUN
ddj-177	23	3	,	,	PUNCT
ddj-177	23	4	any	any	DET
ddj-177	23	5	self	self	NOUN
ddj-177	23	6	-	-	PUNCT
ddj-177	23	7	organizing	organize	VERB
ddj-177	23	8	system	system	NOUN
ddj-177	23	9	,	,	PUNCT
ddj-177	23	10	whether	whether	SCONJ
ddj-177	23	11	physical	physical	ADJ
ddj-177	23	12	,	,	PUNCT
ddj-177	23	13	chemical	chemical	NOUN
ddj-177	23	14	or	or	CCONJ
ddj-177	23	15	biological	biological	ADJ
ddj-177	23	16	,	,	PUNCT
ddj-177	23	17	forms	form	VERB
ddj-177	23	18	a	a	DET
ddj-177	23	19	space	space	NOUN
ddj-177	23	20	,	,	PUNCT
ddj-177	23	21	which	which	PRON
ddj-177	23	22	has	have	VERB
ddj-177	23	23	a	a	DET
ddj-177	23	24	kind	kind	NOUN
ddj-177	23	25	of	of	ADP
ddj-177	23	26	distorted	distorted	ADJ
ddj-177	23	27	mirror	mirror	NOUN
ddj-177	23	28	image	image	NOUN
ddj-177	23	29	in	in	ADP
ddj-177	23	30	another	another	DET
ddj-177	23	31	‘	'	PUNCT
ddj-177	23	32	space	space	NOUN
ddj-177	23	33	’	'	PUNCT
ddj-177	23	34	representing	represent	VERB
ddj-177	23	35	the	the	DET
ddj-177	23	36	rest	rest	NOUN
ddj-177	23	37	of	of	ADP
ddj-177	23	38	the	the	DET
ddj-177	23	39	universe	universe	NOUN
ddj-177	23	40	.	.	PUNCT
ddj-177	24	1	the	the	DET
ddj-177	24	2	double	double	ADJ
ddj-177	24	3	space	space	NOUN
ddj-177	24	4	creates	create	VERB
ddj-177	24	5	the	the	DET
ddj-177	24	6	entire	entire	ADJ
ddj-177	24	7	combination	combination	NOUN
ddj-177	24	8	of	of	ADP
ddj-177	24	9	system	system	NOUN
ddj-177	24	10	and	and	CCONJ
ddj-177	24	11	‘	'	PUNCT
ddj-177	24	12	vacuum	vacuum	NOUN
ddj-177	24	13	’	'	PUNCT
ddj-177	24	14	as	as	ADP
ddj-177	24	15	a	a	DET
ddj-177	24	16	zero	zero	NUM
ddj-177	24	17	totality	totality	NOUN
ddj-177	24	18	.	.	PUNCT
ddj-177	25	1	the	the	DET
ddj-177	25	2	algebraic	algebraic	ADJ
ddj-177	25	3	structure	structure	NOUN
ddj-177	25	4	has	have	VERB
ddj-177	25	5	an	an	DET
ddj-177	25	6	exact	exact	ADJ
ddj-177	25	7	parallel	parallel	NOUN
ddj-177	25	8	with	with	ADP
ddj-177	25	9	a	a	DET
ddj-177	25	10	geometric	geometric	ADJ
ddj-177	25	11	one	one	NOUN
ddj-177	25	12	which	which	PRON
ddj-177	25	13	can	can	AUX
ddj-177	25	14	be	be	AUX
ddj-177	25	15	represented	represent	VERB
ddj-177	25	16	using	use	VERB
ddj-177	25	17	platonic	platonic	ADJ
ddj-177	25	18	or	or	CCONJ
ddj-177	25	19	archimedean	archimedean	ADJ
ddj-177	25	20	solids	solid	NOUN
ddj-177	25	21	in	in	ADP
ddj-177	25	22	which	which	PRON
ddj-177	25	23	each	each	DET
ddj-177	25	24	structure	structure	NOUN
ddj-177	25	25	has	have	VERB
ddj-177	25	26	a	a	DET
ddj-177	25	27	dual	dual	ADJ
ddj-177	25	28	which	which	PRON
ddj-177	25	29	could	could	AUX
ddj-177	25	30	be	be	AUX
ddj-177	25	31	imagined	imagine	VERB
ddj-177	25	32	as	as	SCONJ
ddj-177	25	33	constructed	construct	VERB
ddj-177	25	34	in	in	ADP
ddj-177	25	35	another	another	DET
ddj-177	25	36	space	space	NOUN
ddj-177	25	37	.	.	PUNCT
ddj-177	26	1	the	the	DET
ddj-177	26	2	units	unit	NOUN
ddj-177	26	3	of	of	ADP
ddj-177	26	4	the	the	DET
ddj-177	26	5	vector	vector	NOUN
ddj-177	26	6	-	-	PUNCT
ddj-177	26	7	quaternion	quaternion	NOUN
ddj-177	26	8	algebra	algebra	NOUN
ddj-177	26	9	constructing	construct	VERB
ddj-177	26	10	the	the	DET
ddj-177	26	11	double	double	ADJ
ddj-177	26	12	space	space	NOUN
ddj-177	26	13	can	can	AUX
ddj-177	26	14	be	be	AUX
ddj-177	26	15	represented	represent	VERB
ddj-177	26	16	as	as	SCONJ
ddj-177	26	17	follows	follow	VERB
ddj-177	26	18	:	:	PUNCT
ddj-177	27	1	i	i	PRON
ddj-177	27	2	j	j	PROPN
ddj-177	27	3	k	k	PROPN
ddj-177	27	4	ii	ii	PROPN
ddj-177	27	5	ij	ij	INTJ
ddj-177	27	6	ik	ik	PROPN
ddj-177	27	7	i	i	PROPN
ddj-177	27	8	1	1	NUM
ddj-177	27	9	–	–	PUNCT
ddj-177	27	10	i	i	PRON
ddj-177	27	11	–	–	PUNCT
ddj-177	27	12	j	j	PROPN
ddj-177	27	13	–	–	PUNCT
ddj-177	27	14	k	k	PROPN
ddj-177	27	15	–	–	PUNCT
ddj-177	27	16	ii	ii	PROPN
ddj-177	27	17	–	–	PUNCT
ddj-177	27	18	ij	ij	INTJ
ddj-177	27	19	–	–	PUNCT
ddj-177	27	20	ik	ik	X
ddj-177	27	21	–	–	PUNCT
ddj-177	27	22	i	i	NUM
ddj-177	27	23	–	–	PUNCT
ddj-177	27	24	1	1	NUM
ddj-177	28	1	i	i	PRON
ddj-177	28	2	j	j	PROPN
ddj-177	28	3	k	k	PROPN
ddj-177	28	4	ii	ii	PROPN
ddj-177	28	5	ii	ii	PROPN
ddj-177	28	6	ik	ik	PROPN
ddj-177	28	7	–	–	PUNCT
ddj-177	28	8	i	i	PRON
ddj-177	28	9	–	–	PUNCT
ddj-177	28	10	j	j	PROPN
ddj-177	28	11	–	–	PUNCT
ddj-177	28	12	k	k	PROPN
ddj-177	28	13	–	–	PUNCT
ddj-177	28	14	ii	ii	PROPN
ddj-177	28	15	–	–	PUNCT
ddj-177	28	16	ii	ii	PROPN
ddj-177	28	17	–	–	PUNCT
ddj-177	28	18	ik	ik	PROPN
ddj-177	28	19	ii	ii	PROPN
ddj-177	28	20	ij	ij	PROPN
ddj-177	28	21	ik	ik	PROPN
ddj-177	28	22	iii	iii	PROPN
ddj-177	28	23	iii	iii	PROPN
ddj-177	28	24	iik	iik	PROPN
ddj-177	28	25	–	–	PUNCT
ddj-177	28	26	ii	ii	PROPN
ddj-177	28	27	–	–	PUNCT
ddj-177	28	28	ij	ij	INTJ
ddj-177	28	29	–	–	PUNCT
ddj-177	28	30	ik	ik	X
ddj-177	28	31	–	–	PUNCT
ddj-177	28	32	iii	iii	X
ddj-177	28	33	–	–	PUNCT
ddj-177	28	34	iii	iii	NUM
ddj-177	28	35	–	–	PUNCT
ddj-177	28	36	iik	iik	PROPN
ddj-177	28	37	ji	ji	PROPN
ddj-177	28	38	jj	jj	PROPN
ddj-177	28	39	jk	jk	PROPN
ddj-177	28	40	iji	iji	PROPN
ddj-177	28	41	iji	iji	PROPN
ddj-177	28	42	ijk	ijk	PROPN
ddj-177	28	43	–	–	PUNCT
ddj-177	28	44	ji	ji	PROPN
ddj-177	28	45	–	–	PUNCT
ddj-177	28	46	jj	jj	PROPN
ddj-177	28	47	–	–	PUNCT
ddj-177	28	48	jk	jk	PROPN
ddj-177	28	49	–	–	PUNCT
ddj-177	28	50	iji	iji	PROPN
ddj-177	28	51	–	–	PUNCT
ddj-177	28	52	iji	iji	PROPN
ddj-177	28	53	–	–	PUNCT
ddj-177	28	54	ijk	ijk	PROPN
ddj-177	28	55	ki	ki	PROPN
ddj-177	28	56	kj	kj	PROPN
ddj-177	28	57	kk	kk	PROPN
ddj-177	28	58	iki	iki	PROPN
ddj-177	28	59	iki	iki	PROPN
ddj-177	28	60	ikk	ikk	PROPN
ddj-177	28	61	–	–	PUNCT
ddj-177	28	62	ki	ki	PROPN
ddj-177	28	63	–	–	PUNCT
ddj-177	28	64	kj	kj	PROPN
ddj-177	28	65	–	–	PUNCT
ddj-177	28	66	kk	kk	PROPN
ddj-177	28	67	–	–	PUNCT
ddj-177	28	68	iki	iki	PROPN
ddj-177	28	69	–	–	PUNCT
ddj-177	28	70	iki	iki	PROPN
ddj-177	28	71	–	–	PUNCT
ddj-177	28	72	ikk	ikk	PROPN
ddj-177	28	73	an	an	DET
ddj-177	28	74	alternative	alternative	NOUN
ddj-177	28	75	ordering	ordering	NOUN
ddj-177	28	76	would	would	AUX
ddj-177	28	77	separate	separate	VERB
ddj-177	28	78	the	the	DET
ddj-177	28	79	four	four	NUM
ddj-177	28	80	complex	complex	ADJ
ddj-177	28	81	numbers	number	NOUN
ddj-177	28	82	from	from	ADP
ddj-177	28	83	12	12	NUM
ddj-177	28	84	nilpotent	nilpotent	ADJ
ddj-177	28	85	structures	structure	NOUN
ddj-177	28	86	,	,	PUNCT
ddj-177	28	87	each	each	PRON
ddj-177	28	88	formed	form	VERB
ddj-177	28	89	from	from	ADP
ddj-177	28	90	5	5	NUM
ddj-177	28	91	units	unit	NOUN
ddj-177	28	92	.	.	PUNCT
ddj-177	29	1	here	here	ADV
ddj-177	29	2	,	,	PUNCT
ddj-177	29	3	we	we	PRON
ddj-177	29	4	create	create	VERB
ddj-177	29	5	a	a	DET
ddj-177	29	6	subset	subset	NOUN
ddj-177	29	7	of	of	ADP
ddj-177	29	8	60	60	NUM
ddj-177	29	9	units	unit	NOUN
ddj-177	29	10	,	,	PUNCT
ddj-177	29	11	which	which	PRON
ddj-177	29	12	has	have	VERB
ddj-177	29	13	significance	significance	NOUN
ddj-177	29	14	in	in	ADP
ddj-177	29	15	the	the	DET
ddj-177	29	16	dodecahedral	dodecahedral	ADJ
ddj-177	29	17	and	and	CCONJ
ddj-177	29	18	icosahedral	icosahedral	ADJ
ddj-177	29	19	representations	representation	NOUN
ddj-177	29	20	and	and	CCONJ
ddj-177	29	21	in	in	ADP
ddj-177	29	22	hamilton	hamilton	PROPN
ddj-177	29	23	’s	’s	PART
ddj-177	29	24	icosian	icosian	PROPN
ddj-177	29	25	calculus	calculus	PROPN
ddj-177	29	26	:	:	PUNCT
ddj-177	29	27	1	1	NUM
ddj-177	29	28	–	–	SYM
ddj-177	29	29	1	1	NUM
ddj-177	29	30	ii	ii	NOUN
ddj-177	29	31	ij	ij	INTJ
ddj-177	29	32	ik	ik	PROPN
ddj-177	29	33	ik	ik	PROPN
ddj-177	29	34	j	j	PROPN
ddj-177	29	35	–	–	PUNCT
ddj-177	29	36	ii	ii	PROPN
ddj-177	29	37	–	–	PUNCT
ddj-177	29	38	ij	ij	INTJ
ddj-177	29	39	–	–	PUNCT
ddj-177	29	40	ik	ik	X
ddj-177	29	41	–	–	PUNCT
ddj-177	29	42	ik	ik	PROPN
ddj-177	29	43	–	–	PUNCT
ddj-177	30	1	j	j	PROPN
ddj-177	30	2	ji	ji	PROPN
ddj-177	30	3	jj	jj	PROPN
ddj-177	30	4	jk	jk	PROPN
ddj-177	30	5	ii	ii	PROPN
ddj-177	30	6	k	k	PROPN
ddj-177	30	7	–	–	PUNCT
ddj-177	30	8	ji	ji	PROPN
ddj-177	30	9	–	–	PUNCT
ddj-177	30	10	jj	jj	PROPN
ddj-177	30	11	–	–	PUNCT
ddj-177	30	12	jk	jk	PROPN
ddj-177	30	13	–	–	PUNCT
ddj-177	30	14	ii	ii	PROPN
ddj-177	30	15	–	–	PUNCT
ddj-177	30	16	k	k	PROPN
ddj-177	30	17	ki	ki	PROPN
ddj-177	30	18	kj	kj	PROPN
ddj-177	30	19	kk	kk	PROPN
ddj-177	31	1	ij	ij	INTJ
ddj-177	31	2	i	i	PROPN
ddj-177	31	3	–	–	PUNCT
ddj-177	31	4	ki	ki	PROPN
ddj-177	31	5	–	–	PUNCT
ddj-177	31	6	kj	kj	PROPN
ddj-177	31	7	–	–	PUNCT
ddj-177	31	8	kk	kk	PROPN
ddj-177	31	9	–	–	PUNCT
ddj-177	31	10	ij	ij	INTJ
ddj-177	31	11	–	–	PUNCT
ddj-177	31	12	i	i	PRON
ddj-177	31	13	i	i	PRON
ddj-177	31	14	–	–	PUNCT
ddj-177	32	1	i	i	NOUN
ddj-177	32	2	iii	iii	NUM
ddj-177	32	3	iij	iij	PROPN
ddj-177	32	4	iik	iik	PROPN
ddj-177	32	5	ik	ik	PROPN
ddj-177	32	6	j	j	PROPN
ddj-177	32	7	–	–	PUNCT
ddj-177	32	8	iii	iii	PROPN
ddj-177	32	9	–	–	PUNCT
ddj-177	32	10	iij	iij	NOUN
ddj-177	32	11	–	–	PUNCT
ddj-177	32	12	iik	iik	PROPN
ddj-177	32	13	–	–	PUNCT
ddj-177	32	14	ik	ik	PROPN
ddj-177	32	15	–	–	PUNCT
ddj-177	32	16	j	j	PROPN
ddj-177	32	17	iji	iji	PROPN
ddj-177	32	18	ijj	ijj	PROPN
ddj-177	32	19	ijk	ijk	PROPN
ddj-177	32	20	ii	ii	PROPN
ddj-177	32	21	k	k	PROPN
ddj-177	32	22	–	–	PUNCT
ddj-177	32	23	iji	iji	PROPN
ddj-177	32	24	–	–	PUNCT
ddj-177	32	25	ijj	ijj	PROPN
ddj-177	32	26	–	–	PUNCT
ddj-177	32	27	ijk	ijk	PROPN
ddj-177	32	28	–	–	PUNCT
ddj-177	32	29	ii	ii	PROPN
ddj-177	32	30	–	–	PUNCT
ddj-177	32	31	k	k	PROPN
ddj-177	32	32	iki	iki	PROPN
ddj-177	32	33	ikj	ikj	PROPN
ddj-177	33	1	ikk	ikk	PROPN
ddj-177	33	2	ij	ij	INTJ
ddj-177	34	1	i	i	PROPN
ddj-177	34	2	–	–	PUNCT
ddj-177	34	3	iki	iki	PROPN
ddj-177	34	4	–	–	PUNCT
ddj-177	34	5	ikj	ikj	PROPN
ddj-177	34	6	–	–	PUNCT
ddj-177	34	7	ikk	ikk	PROPN
ddj-177	34	8	–	–	PUNCT
ddj-177	34	9	ij	ij	INTJ
ddj-177	34	10	–	–	PUNCT
ddj-177	34	11	i	i	PRON
ddj-177	34	12	one	one	NUM
ddj-177	34	13	way	way	NOUN
ddj-177	34	14	of	of	ADP
ddj-177	34	15	generating	generate	VERB
ddj-177	34	16	the	the	DET
ddj-177	34	17	64	64	NUM
ddj-177	34	18	units	unit	NOUN
ddj-177	34	19	is	be	AUX
ddj-177	34	20	by	by	ADP
ddj-177	34	21	taking	take	VERB
ddj-177	34	22	the	the	DET
ddj-177	34	23	product	product	NOUN
ddj-177	34	24	of	of	ADP
ddj-177	34	25	4	4	NUM
ddj-177	34	26	options	option	NOUN
ddj-177	34	27	×	×	NOUN
ddj-177	34	28	4	4	NUM
ddj-177	34	29	options	option	NOUN
ddj-177	34	30	×	×	NOUN
ddj-177	34	31	4	4	NUM
ddj-177	34	32	options	option	NOUN
ddj-177	34	33	,	,	PUNCT
ddj-177	34	34	as	as	SCONJ
ddj-177	34	35	is	be	AUX
ddj-177	34	36	done	do	VERB
ddj-177	34	37	in	in	ADP
ddj-177	34	38	the	the	DET
ddj-177	34	39	case	case	NOUN
ddj-177	34	40	of	of	ADP
ddj-177	34	41	the	the	DET
ddj-177	34	42	genetic	genetic	ADJ
ddj-177	34	43	code	code	NOUN
ddj-177	34	44	,	,	PUNCT
ddj-177	34	45	where	where	SCONJ
ddj-177	34	46	each	each	PRON
ddj-177	34	47	of	of	ADP
ddj-177	34	48	three	three	NUM
ddj-177	34	49	bases	basis	NOUN
ddj-177	34	50	may	may	AUX
ddj-177	34	51	be	be	AUX
ddj-177	34	52	u	u	NOUN
ddj-177	34	53	(	(	PUNCT
ddj-177	34	54	or	or	CCONJ
ddj-177	34	55	t	t	PROPN
ddj-177	34	56	)	)	PUNCT
ddj-177	34	57	,	,	PUNCT
ddj-177	34	58	g	g	PROPN
ddj-177	34	59	,	,	PUNCT
ddj-177	34	60	a	a	PRON
ddj-177	34	61	or	or	CCONJ
ddj-177	34	62	c.	c.	NOUN
ddj-177	34	63	to	to	PART
ddj-177	34	64	represent	represent	VERB
ddj-177	34	65	this	this	PRON
ddj-177	34	66	algebraically	algebraically	ADV
ddj-177	34	67	,	,	PUNCT
ddj-177	34	68	we	we	PRON
ddj-177	34	69	may	may	AUX
ddj-177	34	70	use	use	VERB
ddj-177	34	71	the	the	DET
ddj-177	34	72	vector	vector	NOUN
ddj-177	34	73	units	unit	NOUN
ddj-177	34	74	i	i	PRON
ddj-177	34	75	,	,	PUNCT
ddj-177	34	76	j	j	PROPN
ddj-177	34	77	,	,	PUNCT
ddj-177	34	78	k	k	PROPN
ddj-177	34	79	and	and	CCONJ
ddj-177	34	80	1	1	NUM
ddj-177	34	81	for	for	ADP
ddj-177	34	82	the	the	DET
ddj-177	34	83	options	option	NOUN
ddj-177	34	84	u	u	NOUN
ddj-177	34	85	,	,	PUNCT
ddj-177	34	86	g	g	PROPN
ddj-177	34	87	,	,	PUNCT
ddj-177	34	88	a	a	DET
ddj-177	34	89	dna	dna	PROPN
ddj-177	34	90	decipher	decipher	PROPN
ddj-177	34	91	journal	journal	NOUN
ddj-177	34	92	|	|	ADV
ddj-177	34	93	october	october	PROPN
ddj-177	34	94	2021	2021	NUM
ddj-177	34	95	|	|	ADV
ddj-177	34	96	volume	volume	NOUN
ddj-177	34	97	11	11	NUM
ddj-177	34	98	|	|	NOUN
ddj-177	34	99	issue	issue	VERB
ddj-177	34	100	1	1	NUM
ddj-177	35	1	|	|	ADV
ddj-177	35	2	pp	pp	ADV
ddj-177	35	3	01	01	NUM
ddj-177	35	4	-	-	PUNCT
ddj-177	35	5	xx	xx	NUM
ddj-177	35	6	amoroso	amoroso	PROPN
ddj-177	35	7	,	,	PUNCT
ddj-177	35	8	r.	r.	PROPN
ddj-177	35	9	l.	l.	PROPN
ddj-177	35	10	&	&	CCONJ
ddj-177	35	11	rowlands	rowlands	PROPN
ddj-177	35	12	,	,	PUNCT
ddj-177	35	13	p.	p.	NOUN
ddj-177	35	14	,	,	PUNCT
ddj-177	35	15	algebraic	algebraic	ADJ
ddj-177	35	16	and	and	CCONJ
ddj-177	35	17	geometric	geometric	ADJ
ddj-177	35	18	representations	representation	NOUN
ddj-177	35	19	of	of	ADP
ddj-177	35	20	the	the	DET
ddj-177	35	21	genetic	genetic	ADJ
ddj-177	35	22	code	code	NOUN
ddj-177	35	23	issn	issn	NOUN
ddj-177	35	24	:	:	PUNCT
ddj-177	35	25	2159	2159	NUM
ddj-177	35	26	-	-	PUNCT
ddj-177	35	27	046x	046x	NOUN
ddj-177	35	28	dna	dna	NOUN
ddj-177	35	29	decipher	decipher	PROPN
ddj-177	35	30	journal	journal	NOUN
ddj-177	35	31	published	publish	VERB
ddj-177	35	32	by	by	ADP
ddj-177	35	33	quantumdream	quantumdream	PROPN
ddj-177	35	34	,	,	PUNCT
ddj-177	35	35	inc	inc	PROPN
ddj-177	35	36	.	.	PROPN
ddj-177	35	37	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-177	35	38	3	3	NUM
ddj-177	35	39	and	and	CCONJ
ddj-177	35	40	c	c	PROPN
ddj-177	35	41	for	for	ADP
ddj-177	35	42	the	the	DET
ddj-177	35	43	first	first	ADJ
ddj-177	35	44	base	base	NOUN
ddj-177	35	45	.	.	PUNCT
ddj-177	36	1	then	then	ADV
ddj-177	36	2	,	,	PUNCT
ddj-177	36	3	for	for	ADP
ddj-177	36	4	the	the	DET
ddj-177	36	5	second	second	ADJ
ddj-177	36	6	base	base	NOUN
ddj-177	36	7	,	,	PUNCT
ddj-177	36	8	we	we	PRON
ddj-177	36	9	may	may	AUX
ddj-177	36	10	represent	represent	VERB
ddj-177	36	11	u	u	NOUN
ddj-177	36	12	,	,	PUNCT
ddj-177	36	13	g	g	PROPN
ddj-177	36	14	,	,	PUNCT
ddj-177	36	15	a	a	PRON
ddj-177	36	16	and	and	CCONJ
ddj-177	36	17	c	c	NOUN
ddj-177	36	18	by	by	ADP
ddj-177	36	19	the	the	DET
ddj-177	36	20	quaternion	quaternion	NOUN
ddj-177	36	21	units	unit	NOUN
ddj-177	36	22	i	i	PRON
ddj-177	36	23	,	,	PUNCT
ddj-177	36	24	j	j	PROPN
ddj-177	36	25	,	,	PUNCT
ddj-177	36	26	k	k	PROPN
ddj-177	36	27	and	and	CCONJ
ddj-177	36	28	1	1	NUM
ddj-177	36	29	.	.	X
ddj-177	37	1	then	then	ADV
ddj-177	37	2	u	u	NOUN
ddj-177	37	3	,	,	PUNCT
ddj-177	37	4	g	g	PROPN
ddj-177	37	5	,	,	PUNCT
ddj-177	37	6	a	a	PRON
ddj-177	37	7	and	and	CCONJ
ddj-177	37	8	c	c	NOUN
ddj-177	37	9	on	on	ADP
ddj-177	37	10	the	the	DET
ddj-177	37	11	third	third	ADJ
ddj-177	37	12	base	base	NOUN
ddj-177	37	13	may	may	AUX
ddj-177	37	14	be	be	AUX
ddj-177	37	15	represented	represent	VERB
ddj-177	37	16	by	by	ADP
ddj-177	37	17	the	the	DET
ddj-177	37	18	units	unit	NOUN
ddj-177	37	19	of	of	ADP
ddj-177	37	20	complex	complex	ADJ
ddj-177	37	21	algebra	algebra	NOUN
ddj-177	37	22	1	1	NUM
ddj-177	37	23	,	,	PUNCT
ddj-177	37	24	i	i	PRON
ddj-177	37	25	,	,	PUNCT
ddj-177	37	26	–	–	PUNCT
ddj-177	37	27	1	1	NUM
ddj-177	37	28	,	,	PUNCT
ddj-177	37	29	–	–	PUNCT
ddj-177	37	30	i.	i.	NOUN
ddj-177	37	31	using	use	VERB
ddj-177	37	32	three	three	NUM
ddj-177	37	33	different	different	ADJ
ddj-177	37	34	algebras	algebra	NOUN
ddj-177	37	35	(	(	PUNCT
ddj-177	37	36	vectors	vector	NOUN
ddj-177	37	37	,	,	PUNCT
ddj-177	37	38	quaternions	quaternion	NOUN
ddj-177	37	39	and	and	CCONJ
ddj-177	37	40	complex	complex	ADJ
ddj-177	37	41	numbers	number	NOUN
ddj-177	37	42	)	)	PUNCT
ddj-177	37	43	allows	allow	VERB
ddj-177	37	44	us	we	PRON
ddj-177	37	45	to	to	PART
ddj-177	37	46	track	track	VERB
ddj-177	37	47	the	the	DET
ddj-177	37	48	three	three	NUM
ddj-177	37	49	bases	basis	NOUN
ddj-177	37	50	individually	individually	ADV
ddj-177	37	51	according	accord	VERB
ddj-177	37	52	to	to	ADP
ddj-177	37	53	their	their	PRON
ddj-177	37	54	positions	position	NOUN
ddj-177	37	55	in	in	ADP
ddj-177	37	56	the	the	DET
ddj-177	37	57	codon	codon	NOUN
ddj-177	37	58	.	.	PUNCT
ddj-177	38	1	we	we	PRON
ddj-177	38	2	have	have	AUX
ddj-177	38	3	previously	previously	ADV
ddj-177	38	4	grouped	group	VERB
ddj-177	38	5	the	the	DET
ddj-177	38	6	amino	amino	NOUN
ddj-177	38	7	acids	acid	NOUN
ddj-177	38	8	produced	produce	VERB
ddj-177	38	9	by	by	ADP
ddj-177	38	10	the	the	DET
ddj-177	38	11	genetic	genetic	ADJ
ddj-177	38	12	code	code	NOUN
ddj-177	38	13	mechanism	mechanism	NOUN
ddj-177	38	14	according	accord	VERB
ddj-177	38	15	to	to	ADP
ddj-177	38	16	the	the	DET
ddj-177	38	17	second	second	ADJ
ddj-177	38	18	base	base	NOUN
ddj-177	38	19	in	in	ADP
ddj-177	38	20	the	the	DET
ddj-177	38	21	codon	codon	NOUN
ddj-177	38	22	which	which	PRON
ddj-177	38	23	produced	produce	VERB
ddj-177	38	24	it	it	PRON
ddj-177	38	25	.	.	PUNCT
ddj-177	39	1	the	the	DET
ddj-177	39	2	second	second	ADJ
ddj-177	39	3	base	base	NOUN
ddj-177	39	4	seems	seem	VERB
ddj-177	39	5	,	,	PUNCT
ddj-177	39	6	in	in	ADP
ddj-177	39	7	this	this	DET
ddj-177	39	8	respect	respect	NOUN
ddj-177	39	9	,	,	PUNCT
ddj-177	39	10	the	the	DET
ddj-177	39	11	most	most	ADV
ddj-177	39	12	important	important	ADJ
ddj-177	39	13	,	,	PUNCT
ddj-177	39	14	and	and	CCONJ
ddj-177	39	15	the	the	DET
ddj-177	39	16	third	third	ADJ
ddj-177	39	17	base	base	NOUN
ddj-177	39	18	the	the	DET
ddj-177	39	19	least	least	ADJ
ddj-177	39	20	,	,	PUNCT
ddj-177	39	21	becoming	become	VERB
ddj-177	39	22	in	in	ADP
ddj-177	39	23	some	some	DET
ddj-177	39	24	sense	sense	NOUN
ddj-177	39	25	almost	almost	ADV
ddj-177	39	26	redundant	redundant	ADJ
ddj-177	39	27	.	.	PUNCT
ddj-177	40	1	using	use	VERB
ddj-177	40	2	this	this	DET
ddj-177	40	3	division	division	NOUN
ddj-177	40	4	,	,	PUNCT
ddj-177	40	5	the	the	DET
ddj-177	40	6	64	64	NUM
ddj-177	40	7	codons	codon	NOUN
ddj-177	40	8	fall	fall	VERB
ddj-177	40	9	naturally	naturally	ADV
ddj-177	40	10	into	into	ADP
ddj-177	40	11	4	4	NUM
ddj-177	40	12	groups	group	NOUN
ddj-177	40	13	of	of	ADP
ddj-177	40	14	16	16	NUM
ddj-177	40	15	:	:	PUNCT
ddj-177	40	16	amino	amino	PROPN
ddj-177	40	17	codon	codon	PROPN
ddj-177	40	18	first	first	ADJ
ddj-177	40	19	second	second	ADJ
ddj-177	40	20	third	third	ADJ
ddj-177	40	21	acid	acid	NOUN
ddj-177	40	22	base	base	NOUN
ddj-177	40	23	base	base	NOUN
ddj-177	40	24	base	base	NOUN
ddj-177	40	25	the	the	DET
ddj-177	40	26	group	group	NOUN
ddj-177	40	27	ii	ii	PROPN
ddj-177	41	1	cys	cys	PROPN
ddj-177	41	2	ugu	ugu	PROPN
ddj-177	42	1	i	i	PRON
ddj-177	42	2	j	j	PROPN
ddj-177	42	3	1	1	NUM
ddj-177	42	4	ugc	ugc	PROPN
ddj-177	43	1	i	i	PRON
ddj-177	43	2	j	j	PROPN
ddj-177	44	1	i	i	PRON
ddj-177	44	2	trp	trp	PROPN
ddj-177	44	3	ugg	ugg	PROPN
ddj-177	45	1	i	i	PRON
ddj-177	45	2	j	j	PROPN
ddj-177	45	3	–	–	PUNCT
ddj-177	45	4	i	i	PRON
ddj-177	45	5	stop	stop	VERB
ddj-177	45	6	uga	uga	PROPN
ddj-177	46	1	i	i	PRON
ddj-177	46	2	j	j	PROPN
ddj-177	46	3	–	–	PUNCT
ddj-177	46	4	1	1	NUM
ddj-177	46	5	gly	gly	NOUN
ddj-177	46	6	ggu	ggu	PROPN
ddj-177	46	7	j	j	PROPN
ddj-177	46	8	j	j	PROPN
ddj-177	46	9	1	1	NUM
ddj-177	46	10	ggc	ggc	PROPN
ddj-177	46	11	j	j	PROPN
ddj-177	47	1	j	j	PROPN
ddj-177	48	1	i	i	PRON
ddj-177	48	2	gga	gga	PROPN
ddj-177	48	3	j	j	PROPN
ddj-177	48	4	j	j	PROPN
ddj-177	48	5	–	–	PUNCT
ddj-177	48	6	1	1	NUM
ddj-177	48	7	ggg	ggg	NOUN
ddj-177	48	8	j	j	PROPN
ddj-177	48	9	j	j	PROPN
ddj-177	48	10	–	–	PUNCT
ddj-177	48	11	i	i	PRON
ddj-177	48	12	ser	ser	NOUN
ddj-177	48	13	agu	agu	PROPN
ddj-177	49	1	k	k	PROPN
ddj-177	49	2	j	j	PROPN
ddj-177	49	3	1	1	NUM
ddj-177	49	4	agc	agc	PROPN
ddj-177	49	5	k	k	PROPN
ddj-177	49	6	j	j	PROPN
ddj-177	50	1	i	i	PRON
ddj-177	50	2	arg	arg	VERB
ddj-177	50	3	cgu	cgu	PROPN
ddj-177	50	4	1	1	NUM
ddj-177	50	5	j	j	PROPN
ddj-177	50	6	1	1	NUM
ddj-177	50	7	cgc	cgc	PROPN
ddj-177	51	1	1	1	NUM
ddj-177	51	2	j	j	NOUN
ddj-177	52	1	i	i	PRON
ddj-177	52	2	cga	cga	VERB
ddj-177	52	3	1	1	NUM
ddj-177	52	4	j	j	PROPN
ddj-177	52	5	–	–	PUNCT
ddj-177	52	6	1	1	NUM
ddj-177	52	7	cgg	cgg	NOUN
ddj-177	52	8	1	1	NUM
ddj-177	52	9	j	j	PROPN
ddj-177	52	10	–	–	PUNCT
ddj-177	52	11	i	i	PRON
ddj-177	52	12	aga	aga	PROPN
ddj-177	52	13	k	k	PROPN
ddj-177	52	14	j	j	PROPN
ddj-177	52	15	–	–	PUNCT
ddj-177	52	16	1	1	NUM
ddj-177	52	17	agg	agg	PROPN
ddj-177	53	1	k	k	PROPN
ddj-177	53	2	j	j	PROPN
ddj-177	53	3	–	–	PUNCT
ddj-177	53	4	i	i	PRON
ddj-177	53	5	group	group	NOUN
ddj-177	54	1	i	i	PRON
ddj-177	54	2	phe	phe	PROPN
ddj-177	54	3	uuu	uuu	PROPN
ddj-177	55	1	i	i	PRON
ddj-177	55	2	i	i	PRON
ddj-177	55	3	1	1	NUM
ddj-177	55	4	uuc	uuc	INTJ
ddj-177	56	1	i	i	PRON
ddj-177	56	2	i	i	PRON
ddj-177	57	1	i	i	PROPN
ddj-177	57	2	leu	leu	PROPN
ddj-177	57	3	uua	uua	NOUN
ddj-177	57	4	i	i	PRON
ddj-177	57	5	i	i	PRON
ddj-177	57	6	–	–	PUNCT
ddj-177	57	7	1	1	NUM
ddj-177	57	8	uug	uug	NOUN
ddj-177	57	9	*	*	PUNCT
ddj-177	58	1	i	i	PRON
ddj-177	58	2	i	i	PRON
ddj-177	58	3	–	–	PUNCT
ddj-177	58	4	i	i	PRON
ddj-177	58	5	cuu	cuu	VERB
ddj-177	58	6	1	1	NUM
ddj-177	58	7	i	i	NOUN
ddj-177	58	8	1	1	NUM
ddj-177	58	9	cuc	cuc	NOUN
ddj-177	58	10	1	1	NUM
ddj-177	59	1	i	i	PRON
ddj-177	59	2	i	i	PRON
ddj-177	59	3	cua	cua	VERB
ddj-177	59	4	1	1	NUM
ddj-177	59	5	i	i	NOUN
ddj-177	59	6	–	–	PUNCT
ddj-177	59	7	1	1	NUM
ddj-177	59	8	cug	cug	NOUN
ddj-177	59	9	*	*	PROPN
ddj-177	59	10	1	1	NUM
ddj-177	59	11	i	i	INTJ
ddj-177	59	12	–	–	PUNCT
ddj-177	59	13	i	i	PRON
ddj-177	59	14	val	val	NOUN
ddj-177	60	1	guu	guu	PROPN
ddj-177	60	2	j	j	PROPN
ddj-177	60	3	i	i	PRON
ddj-177	60	4	1	1	NUM
ddj-177	60	5	guc	guc	NOUN
ddj-177	60	6	j	j	PROPN
ddj-177	61	1	i	i	PRON
ddj-177	61	2	i	i	PRON
ddj-177	62	1	gua	gua	VERB
ddj-177	62	2	j	j	PROPN
ddj-177	63	1	i	i	PRON
ddj-177	63	2	–	–	PUNCT
ddj-177	63	3	1	1	NUM
ddj-177	63	4	gug	gug	PROPN
ddj-177	63	5	j	j	PROPN
ddj-177	63	6	i	i	PRON
ddj-177	63	7	–	–	PUNCT
ddj-177	63	8	i	i	PRON
ddj-177	64	1	ile	ile	PROPN
ddj-177	64	2	auu	auu	PROPN
ddj-177	65	1	k	k	NOUN
ddj-177	65	2	i	i	PRON
ddj-177	65	3	1	1	X
ddj-177	65	4	auc	auc	VERB
ddj-177	65	5	k	k	X
ddj-177	66	1	i	i	PRON
ddj-177	66	2	i	i	PROPN
ddj-177	66	3	aua	aua	VERB
ddj-177	66	4	*	*	PUNCT
ddj-177	67	1	k	k	PROPN
ddj-177	67	2	i	i	PRON
ddj-177	67	3	–	–	PUNCT
ddj-177	67	4	1	1	NUM
ddj-177	67	5	met	meet	VERB
ddj-177	67	6	aug	aug	PROPN
ddj-177	67	7	*	*	PROPN
ddj-177	67	8	k	k	PROPN
ddj-177	67	9	i	i	PRON
ddj-177	67	10	–	–	PUNCT
ddj-177	67	11	i	i	PRON
ddj-177	67	12	group	group	NOUN
ddj-177	67	13	iii	iii	NUM
ddj-177	67	14	stop	stop	PROPN
ddj-177	68	1	uaa	uaa	PROPN
ddj-177	69	1	i	i	PRON
ddj-177	69	2	k	k	PROPN
ddj-177	69	3	–	–	PUNCT
ddj-177	69	4	1	1	NUM
ddj-177	69	5	uag	uag	PROPN
ddj-177	69	6	i	i	PROPN
ddj-177	69	7	k	k	PROPN
ddj-177	69	8	–	–	PUNCT
ddj-177	69	9	i	i	PROPN
ddj-177	69	10	tyr	tyr	PROPN
ddj-177	69	11	uau	uau	PROPN
ddj-177	69	12	i	i	PROPN
ddj-177	69	13	k	k	NOUN
ddj-177	69	14	1	1	NUM
ddj-177	69	15	uac	uac	NOUN
ddj-177	70	1	i	i	PRON
ddj-177	70	2	k	k	PROPN
ddj-177	71	1	i	i	PRON
ddj-177	71	2	asp	asp	PROPN
ddj-177	71	3	gau	gau	INTJ
ddj-177	71	4	j	j	PROPN
ddj-177	71	5	k	k	PROPN
ddj-177	71	6	1	1	NUM
ddj-177	71	7	gac	gac	PROPN
ddj-177	72	1	j	j	PROPN
ddj-177	72	2	k	k	PROPN
ddj-177	72	3	i	i	PRON
ddj-177	72	4	glu	glu	VERB
ddj-177	73	1	gaa	gaa	PROPN
ddj-177	73	2	j	j	PROPN
ddj-177	74	1	k	k	PROPN
ddj-177	74	2	–	–	PUNCT
ddj-177	74	3	1	1	NUM
ddj-177	74	4	gag	gag	NOUN
ddj-177	74	5	j	j	PROPN
ddj-177	74	6	k	k	PROPN
ddj-177	75	1	–	–	PUNCT
ddj-177	75	2	i	i	PRON
ddj-177	75	3	lys	lys	VERB
ddj-177	75	4	aaa	aaa	NOUN
ddj-177	76	1	k	k	PROPN
ddj-177	76	2	k	k	PROPN
ddj-177	76	3	–	–	PUNCT
ddj-177	76	4	1	1	NUM
ddj-177	76	5	aag	aag	PROPN
ddj-177	76	6	k	k	PROPN
ddj-177	76	7	k	k	PROPN
ddj-177	76	8	–	–	PUNCT
ddj-177	77	1	i	i	PROPN
ddj-177	77	2	asn	asn	PROPN
ddj-177	77	3	aau	aau	PROPN
ddj-177	78	1	k	k	PROPN
ddj-177	78	2	k	k	PROPN
ddj-177	78	3	1	1	NUM
ddj-177	78	4	aac	aac	NOUN
ddj-177	78	5	k	k	PROPN
ddj-177	78	6	k	k	PROPN
ddj-177	78	7	–	–	PUNCT
ddj-177	78	8	i	i	PRON
ddj-177	78	9	his	his	PRON
ddj-177	78	10	cau	cau	NOUN
ddj-177	78	11	1	1	NUM
ddj-177	78	12	k	k	PROPN
ddj-177	78	13	1	1	NUM
ddj-177	78	14	cac	cac	PROPN
ddj-177	78	15	1	1	NUM
ddj-177	78	16	k	k	NOUN
ddj-177	78	17	i	i	PRON
ddj-177	78	18	gln	gln	PROPN
ddj-177	78	19	caa	caa	NOUN
ddj-177	78	20	1	1	NUM
ddj-177	78	21	k	k	X
ddj-177	78	22	–	–	PUNCT
ddj-177	78	23	1	1	NUM
ddj-177	78	24	cag	cag	PROPN
ddj-177	78	25	1	1	NUM
ddj-177	78	26	k	k	NOUN
ddj-177	78	27	–	–	PUNCT
ddj-177	78	28	i	i	PRON
ddj-177	78	29	group	group	NOUN
ddj-177	78	30	iv	iv	NUM
ddj-177	79	1	ser	ser	PROPN
ddj-177	79	2	ucu	ucu	PROPN
ddj-177	79	3	i	i	PROPN
ddj-177	79	4	1	1	NUM
ddj-177	79	5	1	1	NUM
ddj-177	79	6	ucc	ucc	PROPN
ddj-177	79	7	i	i	NOUN
ddj-177	79	8	1	1	NUM
ddj-177	79	9	i	i	PRON
ddj-177	79	10	uca	uca	VERB
ddj-177	79	11	i	i	PRON
ddj-177	79	12	1	1	NUM
ddj-177	79	13	–	–	SYM
ddj-177	79	14	1	1	NUM
ddj-177	79	15	ucg	ucg	NOUN
ddj-177	79	16	i	i	PRON
ddj-177	79	17	1	1	NUM
ddj-177	79	18	–	–	PUNCT
ddj-177	79	19	i	i	PRON
ddj-177	79	20	ala	ala	NOUN
ddj-177	79	21	gcu	gcu	NOUN
ddj-177	79	22	j	j	PROPN
ddj-177	79	23	1	1	NUM
ddj-177	79	24	1	1	NUM
ddj-177	79	25	gcc	gcc	NOUN
ddj-177	79	26	j	j	NOUN
ddj-177	79	27	1	1	NUM
ddj-177	79	28	i	i	PRON
ddj-177	79	29	gca	gca	VERB
ddj-177	79	30	j	j	PROPN
ddj-177	79	31	1	1	NUM
ddj-177	79	32	–	–	SYM
ddj-177	79	33	1	1	NUM
ddj-177	79	34	gcg	gcg	NOUN
ddj-177	79	35	j	j	PROPN
ddj-177	79	36	1	1	NUM
ddj-177	79	37	–	–	PUNCT
ddj-177	79	38	i	i	PRON
ddj-177	79	39	thr	thr	INTJ
ddj-177	80	1	acu	acu	PROPN
ddj-177	81	1	k	k	NOUN
ddj-177	81	2	1	1	NUM
ddj-177	81	3	1	1	NUM
ddj-177	81	4	acc	acc	NOUN
ddj-177	81	5	k	k	PROPN
ddj-177	81	6	1	1	NUM
ddj-177	82	1	i	i	PRON
ddj-177	82	2	aca	aca	PROPN
ddj-177	82	3	k	k	PROPN
ddj-177	82	4	1	1	NUM
ddj-177	82	5	–	–	SYM
ddj-177	82	6	1	1	NUM
ddj-177	82	7	acg	acg	NOUN
ddj-177	82	8	k	k	PROPN
ddj-177	82	9	1	1	X
ddj-177	82	10	–	–	PUNCT
ddj-177	82	11	i	i	PRON
ddj-177	82	12	pro	pro	X
ddj-177	82	13	ccu	ccu	PROPN
ddj-177	82	14	1	1	NUM
ddj-177	82	15	1	1	NUM
ddj-177	82	16	1	1	NUM
ddj-177	82	17	ccc	ccc	NOUN
ddj-177	82	18	1	1	NUM
ddj-177	82	19	1	1	NUM
ddj-177	82	20	i	i	PRON
ddj-177	82	21	cca	cca	VERB
ddj-177	82	22	1	1	NUM
ddj-177	82	23	1	1	NUM
ddj-177	82	24	–	–	SYM
ddj-177	82	25	1	1	NUM
ddj-177	82	26	ccg	ccg	NOUN
ddj-177	82	27	1	1	NUM
ddj-177	82	28	1	1	NUM
ddj-177	82	29	–	–	PUNCT
ddj-177	82	30	i	i	PRON
ddj-177	82	31	dna	dna	VERB
ddj-177	82	32	decipher	decipher	PROPN
ddj-177	82	33	journal	journal	PROPN
ddj-177	82	34	|	|	ADV
ddj-177	82	35	october	october	PROPN
ddj-177	82	36	2021	2021	NUM
ddj-177	82	37	|	|	ADV
ddj-177	82	38	volume	volume	NOUN
ddj-177	82	39	11	11	NUM
ddj-177	82	40	|	|	NOUN
ddj-177	82	41	issue	issue	VERB
ddj-177	82	42	1	1	NUM
ddj-177	83	1	|	|	ADV
ddj-177	83	2	pp	pp	ADV
ddj-177	83	3	01	01	NUM
ddj-177	83	4	-	-	SYM
ddj-177	83	5	10	10	NUM
ddj-177	83	6	amoroso	amoroso	PROPN
ddj-177	83	7	,	,	PUNCT
ddj-177	83	8	r.	r.	PROPN
ddj-177	83	9	l.	l.	PROPN
ddj-177	83	10	&	&	CCONJ
ddj-177	83	11	rowlands	rowlands	PROPN
ddj-177	83	12	,	,	PUNCT
ddj-177	83	13	p.	p.	NOUN
ddj-177	83	14	,	,	PUNCT
ddj-177	83	15	algebraic	algebraic	ADJ
ddj-177	83	16	and	and	CCONJ
ddj-177	83	17	geometric	geometric	ADJ
ddj-177	83	18	representations	representation	NOUN
ddj-177	83	19	of	of	ADP
ddj-177	83	20	the	the	DET
ddj-177	83	21	genetic	genetic	ADJ
ddj-177	83	22	code	code	NOUN
ddj-177	83	23	issn	issn	NOUN
ddj-177	83	24	:	:	PUNCT
ddj-177	83	25	2159	2159	NUM
ddj-177	83	26	-	-	PUNCT
ddj-177	83	27	046x	046x	NOUN
ddj-177	83	28	dna	dna	NOUN
ddj-177	83	29	decipher	decipher	PROPN
ddj-177	83	30	journal	journal	NOUN
ddj-177	83	31	published	publish	VERB
ddj-177	83	32	by	by	ADP
ddj-177	83	33	quantumdream	quantumdream	PROPN
ddj-177	83	34	,	,	PUNCT
ddj-177	83	35	inc	inc	PROPN
ddj-177	83	36	.	.	PROPN
ddj-177	83	37	www.dnadecipher.com	www.dnadecipher.com	X
ddj-177	83	38	4	4	NUM
ddj-177	83	39	asterisks	asterisk	NOUN
ddj-177	83	40	represent	represent	VERB
ddj-177	83	41	codons	codon	NOUN
ddj-177	83	42	that	that	PRON
ddj-177	83	43	can	can	AUX
ddj-177	83	44	act	act	VERB
ddj-177	83	45	as	as	ADP
ddj-177	83	46	a	a	DET
ddj-177	83	47	start	start	NOUN
ddj-177	83	48	.	.	PUNCT
ddj-177	84	1	notably	notably	ADV
ddj-177	84	2	they	they	PRON
ddj-177	84	3	are	be	AUX
ddj-177	84	4	all	all	ADV
ddj-177	84	5	in	in	ADP
ddj-177	84	6	the	the	DET
ddj-177	84	7	same	same	ADJ
ddj-177	84	8	group	group	NOUN
ddj-177	84	9	.	.	PUNCT
ddj-177	85	1	conveniently	conveniently	ADV
ddj-177	85	2	also	also	ADV
ddj-177	85	3	(	(	PUNCT
ddj-177	85	4	though	though	SCONJ
ddj-177	85	5	this	this	PRON
ddj-177	85	6	is	be	AUX
ddj-177	85	7	mainly	mainly	ADV
ddj-177	85	8	an	an	DET
ddj-177	85	9	artefact	artefact	NOUN
ddj-177	85	10	of	of	ADP
ddj-177	85	11	our	our	PRON
ddj-177	85	12	representation	representation	NOUN
ddj-177	85	13	)	)	PUNCT
ddj-177	85	14	all	all	DET
ddj-177	85	15	the	the	DET
ddj-177	85	16	start	start	NOUN
ddj-177	85	17	and	and	CCONJ
ddj-177	85	18	stop	stop	VERB
ddj-177	85	19	codons	codon	NOUN
ddj-177	85	20	are	be	AUX
ddj-177	85	21	represented	represent	VERB
ddj-177	85	22	by	by	ADP
ddj-177	85	23	negative	negative	ADJ
ddj-177	85	24	units	unit	NOUN
ddj-177	85	25	.	.	PUNCT
ddj-177	86	1	the	the	DET
ddj-177	86	2	way	way	NOUN
ddj-177	86	3	that	that	PRON
ddj-177	86	4	the	the	DET
ddj-177	86	5	various	various	ADJ
ddj-177	86	6	structures	structure	NOUN
ddj-177	86	7	are	be	AUX
ddj-177	86	8	relevant	relevant	ADJ
ddj-177	86	9	to	to	ADP
ddj-177	86	10	the	the	DET
ddj-177	86	11	formation	formation	NOUN
ddj-177	86	12	of	of	ADP
ddj-177	86	13	amino	amino	ADJ
ddj-177	86	14	acids	acid	NOUN
ddj-177	86	15	will	will	AUX
ddj-177	86	16	become	become	VERB
ddj-177	86	17	clearer	clear	ADJ
ddj-177	86	18	in	in	ADP
ddj-177	86	19	the	the	DET
ddj-177	86	20	following	follow	VERB
ddj-177	86	21	table	table	NOUN
ddj-177	86	22	:	:	PUNCT
ddj-177	86	23	group	group	NOUN
ddj-177	86	24	i	i	PRON
ddj-177	86	25	phenylalanine	phenylalanine	VERB
ddj-177	86	26	uuu	uuu	PROPN
ddj-177	86	27	uuc	uuc	PROPN
ddj-177	86	28	ii	ii	PROPN
ddj-177	86	29	iii	iii	PROPN
ddj-177	86	30	leucine	leucine	NOUN
ddj-177	86	31	uua	uua	NOUN
ddj-177	86	32	uug	uug	PROPN
ddj-177	86	33	*	*	SYM
ddj-177	86	34	cuu	cuu	PROPN
ddj-177	86	35	cuc	cuc	PROPN
ddj-177	86	36	cua	cua	VERB
ddj-177	86	37	cug	cug	PROPN
ddj-177	86	38	*	*	PROPN
ddj-177	86	39	–	–	PUNCT
ddj-177	86	40	ii	ii	PROPN
ddj-177	86	41	–	–	PUNCT
ddj-177	86	42	iii	iii	X
ddj-177	86	43	i	i	PRON
ddj-177	86	44	ii	ii	PROPN
ddj-177	86	45	–	–	PUNCT
ddj-177	86	46	i	i	PRON
ddj-177	86	47	–	–	PUNCT
ddj-177	86	48	ii	ii	PROPN
ddj-177	86	49	valine	valine	NOUN
ddj-177	86	50	guu	guu	PROPN
ddj-177	86	51	guc	guc	PROPN
ddj-177	86	52	gua	gua	PROPN
ddj-177	86	53	gug	gug	PROPN
ddj-177	86	54	ij	ij	INTJ
ddj-177	86	55	iij	iij	PROPN
ddj-177	86	56	–	–	PUNCT
ddj-177	86	57	ij	ij	INTJ
ddj-177	86	58	–	–	PUNCT
ddj-177	86	59	iij	iij	PROPN
ddj-177	86	60	isoleucine	isoleucine	NOUN
ddj-177	86	61	auu	auu	PROPN
ddj-177	86	62	auc	auc	PROPN
ddj-177	86	63	aua	aua	PROPN
ddj-177	86	64	*	*	PROPN
ddj-177	86	65	ik	ik	PROPN
ddj-177	86	66	iik	iik	PROPN
ddj-177	86	67	–	–	PUNCT
ddj-177	86	68	ik	ik	PROPN
ddj-177	86	69	methionine	methionine	PROPN
ddj-177	86	70	aug	aug	PROPN
ddj-177	86	71	*	*	PROPN
ddj-177	86	72	–	–	PUNCT
ddj-177	86	73	iik	iik	PROPN
ddj-177	86	74	group	group	PROPN
ddj-177	86	75	ii	ii	PROPN
ddj-177	86	76	cysteine	cysteine	PROPN
ddj-177	86	77	ugu	ugu	PROPN
ddj-177	86	78	ugc	ugc	PROPN
ddj-177	86	79	ji	ji	PROPN
ddj-177	86	80	iji	iji	PROPN
ddj-177	86	81	tryptophan	tryptophan	PROPN
ddj-177	86	82	ugg	ugg	PROPN
ddj-177	86	83	–	–	PUNCT
ddj-177	86	84	iji	iji	PROPN
ddj-177	86	85	stop	stop	VERB
ddj-177	86	86	uga	uga	PROPN
ddj-177	86	87	–	–	PUNCT
ddj-177	86	88	ji	ji	PROPN
ddj-177	86	89	glycine	glycine	PROPN
ddj-177	86	90	ggu	ggu	PROPN
ddj-177	86	91	ggc	ggc	PROPN
ddj-177	86	92	gga	gga	PROPN
ddj-177	86	93	ggg	ggg	PROPN
ddj-177	86	94	–	–	PUNCT
ddj-177	86	95	jj	jj	PROPN
ddj-177	86	96	–	–	PUNCT
ddj-177	86	97	ijj	ijj	PROPN
ddj-177	86	98	jj	jj	PROPN
ddj-177	86	99	ijj	ijj	PROPN
ddj-177	86	100	serine	serine	NOUN
ddj-177	86	101	agu	agu	NOUN
ddj-177	86	102	agc	agc	PROPN
ddj-177	86	103	jk	jk	PROPN
ddj-177	86	104	ijk	ijk	PROPN
ddj-177	86	105	arginine	arginine	PROPN
ddj-177	86	106	cgu	cgu	PROPN
ddj-177	86	107	cgc	cgc	PROPN
ddj-177	86	108	cga	cga	PROPN
ddj-177	86	109	cgg	cgg	PROPN
ddj-177	86	110	aga	aga	PROPN
ddj-177	86	111	agg	agg	PROPN
ddj-177	87	1	j	j	PROPN
ddj-177	87	2	ij	ij	INTJ
ddj-177	87	3	–	–	PUNCT
ddj-177	87	4	j	j	NOUN
ddj-177	87	5	–	–	PUNCT
ddj-177	87	6	ij	ij	INTJ
ddj-177	87	7	–	–	PUNCT
ddj-177	87	8	jk	jk	PROPN
ddj-177	87	9	–	–	PUNCT
ddj-177	87	10	ijk	ijk	PROPN
ddj-177	87	11	dna	dna	PROPN
ddj-177	87	12	decipher	decipher	PROPN
ddj-177	87	13	journal	journal	PROPN
ddj-177	87	14	|	|	ADV
ddj-177	87	15	october	october	PROPN
ddj-177	87	16	2021	2021	NUM
ddj-177	87	17	|	|	ADV
ddj-177	87	18	volume	volume	NOUN
ddj-177	87	19	11	11	NUM
ddj-177	87	20	|	|	NOUN
ddj-177	87	21	issue	issue	VERB
ddj-177	87	22	1	1	NUM
ddj-177	88	1	|	|	ADV
ddj-177	88	2	pp	pp	ADV
ddj-177	88	3	01	01	NUM
ddj-177	88	4	-	-	PUNCT
ddj-177	88	5	xx	xx	NUM
ddj-177	88	6	amoroso	amoroso	PROPN
ddj-177	88	7	,	,	PUNCT
ddj-177	88	8	r.	r.	PROPN
ddj-177	88	9	l.	l.	PROPN
ddj-177	88	10	&	&	CCONJ
ddj-177	88	11	rowlands	rowlands	PROPN
ddj-177	88	12	,	,	PUNCT
ddj-177	88	13	p.	p.	NOUN
ddj-177	88	14	,	,	PUNCT
ddj-177	88	15	algebraic	algebraic	ADJ
ddj-177	88	16	and	and	CCONJ
ddj-177	88	17	geometric	geometric	ADJ
ddj-177	88	18	representations	representation	NOUN
ddj-177	88	19	of	of	ADP
ddj-177	88	20	the	the	DET
ddj-177	88	21	genetic	genetic	ADJ
ddj-177	88	22	code	code	NOUN
ddj-177	88	23	issn	issn	NOUN
ddj-177	88	24	:	:	PUNCT
ddj-177	88	25	2159	2159	NUM
ddj-177	88	26	-	-	PUNCT
ddj-177	88	27	046x	046x	NOUN
ddj-177	88	28	dna	dna	NOUN
ddj-177	88	29	decipher	decipher	PROPN
ddj-177	88	30	journal	journal	NOUN
ddj-177	88	31	published	publish	VERB
ddj-177	88	32	by	by	ADP
ddj-177	88	33	quantumdream	quantumdream	PROPN
ddj-177	88	34	,	,	PUNCT
ddj-177	88	35	inc	inc	PROPN
ddj-177	88	36	.	.	PROPN
ddj-177	88	37	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-177	88	38	5	5	NUM
ddj-177	88	39	group	group	NOUN
ddj-177	88	40	iii	iii	NUM
ddj-177	88	41	stop	stop	PROPN
ddj-177	88	42	uaa	uaa	PROPN
ddj-177	88	43	uag	uag	PROPN
ddj-177	88	44	–	–	PUNCT
ddj-177	88	45	ki	ki	PROPN
ddj-177	88	46	–	–	PUNCT
ddj-177	88	47	iki	iki	PROPN
ddj-177	88	48	tyrosine	tyrosine	NOUN
ddj-177	88	49	uau	uau	PROPN
ddj-177	88	50	uac	uac	NOUN
ddj-177	88	51	ki	ki	PROPN
ddj-177	88	52	iki	iki	PROPN
ddj-177	88	53	aspartate	aspartate	PROPN
ddj-177	88	54	gau	gau	NOUN
ddj-177	88	55	gac	gac	PROPN
ddj-177	88	56	kj	kj	PROPN
ddj-177	88	57	ikj	ikj	PROPN
ddj-177	88	58	glutamate	glutamate	VERB
ddj-177	88	59	gaa	gaa	PROPN
ddj-177	88	60	gau	gau	NOUN
ddj-177	88	61	–	–	PUNCT
ddj-177	88	62	kj	kj	PROPN
ddj-177	88	63	–	–	PUNCT
ddj-177	88	64	ikj	ikj	PROPN
ddj-177	88	65	lysine	lysine	NOUN
ddj-177	88	66	aaa	aaa	NOUN
ddj-177	88	67	aag	aag	PROPN
ddj-177	88	68	–	–	PUNCT
ddj-177	88	69	kk	kk	PROPN
ddj-177	88	70	–	–	PUNCT
ddj-177	88	71	ikk	ikk	PROPN
ddj-177	89	1	asparagine	asparagine	PROPN
ddj-177	89	2	aau	aau	PROPN
ddj-177	89	3	aac	aac	PROPN
ddj-177	89	4	kk	kk	PROPN
ddj-177	89	5	ikk	ikk	PROPN
ddj-177	89	6	histidine	histidine	PROPN
ddj-177	89	7	cau	cau	PROPN
ddj-177	89	8	cac	cac	PROPN
ddj-177	89	9	k	k	PROPN
ddj-177	89	10	ik	ik	PROPN
ddj-177	89	11	glutamine	glutamine	PROPN
ddj-177	89	12	caa	caa	PROPN
ddj-177	89	13	cag	cag	PROPN
ddj-177	89	14	–	–	PUNCT
ddj-177	89	15	k	k	X
ddj-177	89	16	–	–	PUNCT
ddj-177	89	17	ik	ik	PROPN
ddj-177	89	18	group	group	NOUN
ddj-177	89	19	iv	iv	NUM
ddj-177	89	20	serine	serine	PROPN
ddj-177	89	21	ucu	ucu	PROPN
ddj-177	89	22	ucc	ucc	PROPN
ddj-177	89	23	uca	uca	PROPN
ddj-177	89	24	ucg	ucg	PROPN
ddj-177	89	25	i	i	PRON
ddj-177	89	26	ii	ii	PROPN
ddj-177	89	27	–	–	PUNCT
ddj-177	89	28	i	i	PROPN
ddj-177	89	29	ii	ii	PROPN
ddj-177	89	30	alanine	alanine	NOUN
ddj-177	89	31	gcu	gcu	PROPN
ddj-177	89	32	gcc	gcc	NOUN
ddj-177	89	33	gca	gca	PROPN
ddj-177	89	34	gcg	gcg	PROPN
ddj-177	89	35	j	j	PROPN
ddj-177	89	36	ij	ij	INTJ
ddj-177	89	37	–	–	PUNCT
ddj-177	89	38	j	j	NOUN
ddj-177	89	39	–	–	PUNCT
ddj-177	89	40	ij	ij	PROPN
ddj-177	89	41	threonine	threonine	ADJ
ddj-177	89	42	acu	acu	PROPN
ddj-177	89	43	acc	acc	PROPN
ddj-177	89	44	aca	aca	PROPN
ddj-177	89	45	acg	acg	PROPN
ddj-177	89	46	k	k	PROPN
ddj-177	89	47	ik	ik	PROPN
ddj-177	89	48	–	–	PUNCT
ddj-177	89	49	k	k	X
ddj-177	89	50	–	–	PUNCT
ddj-177	89	51	ik	ik	X
ddj-177	89	52	proline	proline	NOUN
ddj-177	89	53	ccu	ccu	PROPN
ddj-177	89	54	ccc	ccc	PROPN
ddj-177	89	55	cca	cca	PROPN
ddj-177	89	56	ccg	ccg	PROPN
ddj-177	89	57	1	1	NUM
ddj-177	89	58	i	i	NOUN
ddj-177	89	59	–	–	PUNCT
ddj-177	89	60	1	1	NUM
ddj-177	89	61	–	–	PUNCT
ddj-177	89	62	i	i	PRON
ddj-177	89	63	we	we	PRON
ddj-177	89	64	can	can	AUX
ddj-177	89	65	see	see	VERB
ddj-177	89	66	the	the	DET
ddj-177	89	67	pattern	pattern	NOUN
ddj-177	89	68	is	be	AUX
ddj-177	89	69	nearly	nearly	ADV
ddj-177	89	70	perfect	perfect	ADJ
ddj-177	89	71	;	;	PUNCT
ddj-177	89	72	illustrated	illustrate	VERB
ddj-177	89	73	,	,	PUNCT
ddj-177	89	74	particularly	particularly	ADV
ddj-177	89	75	by	by	ADP
ddj-177	89	76	the	the	DET
ddj-177	89	77	complete	complete	ADJ
ddj-177	89	78	regularity	regularity	NOUN
ddj-177	89	79	of	of	ADP
ddj-177	89	80	groups	group	NOUN
ddj-177	89	81	ii	ii	PROPN
ddj-177	89	82	and	and	CCONJ
ddj-177	89	83	iv	iv	NUM
ddj-177	89	84	.	.	PUNCT
ddj-177	90	1	only	only	ADV
ddj-177	90	2	the	the	DET
ddj-177	90	3	two	two	NUM
ddj-177	90	4	serine	serine	NOUN
ddj-177	90	5	codons	codon	NOUN
ddj-177	90	6	in	in	ADP
ddj-177	90	7	group	group	PROPN
ddj-177	90	8	ii	ii	PROPN
ddj-177	90	9	are	be	AUX
ddj-177	90	10	anomalous	anomalous	ADJ
ddj-177	90	11	(	(	PUNCT
ddj-177	90	12	not	not	PART
ddj-177	90	13	in	in	ADP
ddj-177	90	14	their	their	PRON
ddj-177	90	15	biological	biological	ADJ
ddj-177	90	16	group	group	NOUN
ddj-177	90	17	)	)	PUNCT
ddj-177	90	18	,	,	PUNCT
ddj-177	90	19	and	and	CCONJ
ddj-177	90	20	they	they	PRON
ddj-177	90	21	will	will	AUX
ddj-177	90	22	be	be	AUX
ddj-177	90	23	in	in	ADP
ddj-177	90	24	any	any	DET
ddj-177	90	25	arrangement	arrangement	NOUN
ddj-177	90	26	.	.	PUNCT
ddj-177	91	1	arginine	arginine	NOUN
ddj-177	91	2	and	and	CCONJ
ddj-177	91	3	serine	serine	NOUN
ddj-177	91	4	in	in	ADP
ddj-177	91	5	this	this	DET
ddj-177	91	6	group	group	NOUN
ddj-177	91	7	seem	seem	VERB
ddj-177	91	8	to	to	PART
ddj-177	91	9	each	each	PRON
ddj-177	91	10	have	have	VERB
ddj-177	91	11	two	two	NUM
ddj-177	91	12	codons	codon	NOUN
ddj-177	91	13	that	that	PRON
ddj-177	91	14	could	could	AUX
ddj-177	91	15	,	,	PUNCT
ddj-177	91	16	originally	originally	ADV
ddj-177	91	17	,	,	PUNCT
ddj-177	91	18	have	have	AUX
ddj-177	91	19	coded	code	VERB
ddj-177	91	20	a	a	DET
ddj-177	91	21	different	different	ADJ
ddj-177	91	22	amino	amino	NOUN
ddj-177	91	23	acid	acid	NOUN
ddj-177	91	24	.	.	PUNCT
ddj-177	92	1	almost	almost	ADV
ddj-177	92	2	certainly	certainly	ADV
ddj-177	92	3	,	,	PUNCT
ddj-177	92	4	the	the	DET
ddj-177	92	5	codons	codon	NOUN
ddj-177	92	6	for	for	ADP
ddj-177	92	7	arginine	arginine	NOUN
ddj-177	92	8	and	and	CCONJ
ddj-177	92	9	serine	serine	NOUN
ddj-177	92	10	have	have	AUX
ddj-177	92	11	become	become	VERB
ddj-177	92	12	mixed	mixed	ADJ
ddj-177	92	13	at	at	ADP
ddj-177	92	14	some	some	DET
ddj-177	92	15	stage	stage	NOUN
ddj-177	92	16	in	in	ADP
ddj-177	92	17	biological	biological	ADJ
ddj-177	92	18	evolution	evolution	NOUN
ddj-177	92	19	.	.	PUNCT
ddj-177	93	1	(	(	PUNCT
ddj-177	93	2	we	we	PRON
ddj-177	93	3	may	may	AUX
ddj-177	93	4	note	note	VERB
ddj-177	93	5	also	also	ADV
ddj-177	93	6	that	that	DET
ddj-177	93	7	arginine	arginine	NOUN
ddj-177	93	8	seems	seem	VERB
ddj-177	93	9	to	to	PART
ddj-177	93	10	be	be	AUX
ddj-177	93	11	an	an	DET
ddj-177	93	12	exception	exception	NOUN
ddj-177	93	13	to	to	ADP
ddj-177	93	14	the	the	DET
ddj-177	93	15	general	general	ADJ
ddj-177	93	16	tendency	tendency	NOUN
ddj-177	93	17	for	for	ADP
ddj-177	93	18	the	the	DET
ddj-177	93	19	more	more	ADJ
ddj-177	93	20	dna	dna	PROPN
ddj-177	93	21	decipher	decipher	ADJ
ddj-177	93	22	journal	journal	NOUN
ddj-177	93	23	|	|	ADV
ddj-177	93	24	october	october	PROPN
ddj-177	93	25	2021	2021	NUM
ddj-177	93	26	|	|	ADV
ddj-177	93	27	volume	volume	NOUN
ddj-177	93	28	11	11	NUM
ddj-177	93	29	|	|	NOUN
ddj-177	93	30	issue	issue	VERB
ddj-177	93	31	1	1	NUM
ddj-177	94	1	|	|	ADV
ddj-177	94	2	pp	pp	ADV
ddj-177	94	3	01	01	NUM
ddj-177	94	4	-	-	SYM
ddj-177	94	5	10	10	NUM
ddj-177	94	6	amoroso	amoroso	PROPN
ddj-177	94	7	,	,	PUNCT
ddj-177	94	8	r.	r.	PROPN
ddj-177	94	9	l.	l.	PROPN
ddj-177	94	10	&	&	CCONJ
ddj-177	94	11	rowlands	rowlands	PROPN
ddj-177	94	12	,	,	PUNCT
ddj-177	94	13	p.	p.	NOUN
ddj-177	94	14	,	,	PUNCT
ddj-177	94	15	algebraic	algebraic	ADJ
ddj-177	94	16	and	and	CCONJ
ddj-177	94	17	geometric	geometric	ADJ
ddj-177	94	18	representations	representation	NOUN
ddj-177	94	19	of	of	ADP
ddj-177	94	20	the	the	DET
ddj-177	94	21	genetic	genetic	ADJ
ddj-177	94	22	code	code	NOUN
ddj-177	94	23	issn	issn	NOUN
ddj-177	94	24	:	:	PUNCT
ddj-177	94	25	2159	2159	NUM
ddj-177	94	26	-	-	PUNCT
ddj-177	94	27	046x	046x	NOUN
ddj-177	94	28	dna	dna	NOUN
ddj-177	94	29	decipher	decipher	PROPN
ddj-177	94	30	journal	journal	NOUN
ddj-177	94	31	published	publish	VERB
ddj-177	94	32	by	by	ADP
ddj-177	94	33	quantumdream	quantumdream	PROPN
ddj-177	94	34	,	,	PUNCT
ddj-177	94	35	inc	inc	PROPN
ddj-177	94	36	.	.	PROPN
ddj-177	94	37	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-177	94	38	6	6	NUM
ddj-177	94	39	complicated	complicate	VERB
ddj-177	94	40	amino	amino	NOUN
ddj-177	94	41	acid	acid	NOUN
ddj-177	94	42	molecules	molecule	NOUN
ddj-177	94	43	to	to	PART
ddj-177	94	44	be	be	AUX
ddj-177	94	45	coded	code	VERB
ddj-177	94	46	using	use	VERB
ddj-177	94	47	fewer	few	ADJ
ddj-177	94	48	codon	codon	ADJ
ddj-177	94	49	pathways	pathway	NOUN
ddj-177	94	50	.	.	PUNCT
ddj-177	94	51	)	)	PUNCT
ddj-177	95	1	the	the	DET
ddj-177	95	2	table	table	NOUN
ddj-177	95	3	we	we	PRON
ddj-177	95	4	have	have	AUX
ddj-177	95	5	given	give	VERB
ddj-177	95	6	is	be	AUX
ddj-177	95	7	only	only	ADV
ddj-177	95	8	for	for	ADP
ddj-177	95	9	one	one	NUM
ddj-177	95	10	species	specie	NOUN
ddj-177	95	11	,	,	PUNCT
ddj-177	95	12	and	and	CCONJ
ddj-177	95	13	it	it	PRON
ddj-177	95	14	may	may	AUX
ddj-177	95	15	be	be	AUX
ddj-177	95	16	that	that	SCONJ
ddj-177	95	17	evolutionary	evolutionary	ADJ
ddj-177	95	18	drift	drift	NOUN
ddj-177	95	19	may	may	AUX
ddj-177	95	20	be	be	AUX
ddj-177	95	21	determined	determine	VERB
ddj-177	95	22	to	to	ADP
ddj-177	95	23	some	some	DET
ddj-177	95	24	extent	extent	NOUN
ddj-177	95	25	by	by	ADP
ddj-177	95	26	the	the	DET
ddj-177	95	27	variations	variation	NOUN
ddj-177	95	28	in	in	ADP
ddj-177	95	29	the	the	DET
ddj-177	95	30	patterns	pattern	NOUN
ddj-177	95	31	from	from	ADP
ddj-177	95	32	the	the	DET
ddj-177	95	33	assumed	assumed	ADJ
ddj-177	95	34	perfect	perfect	ADJ
ddj-177	95	35	norm	norm	NOUN
ddj-177	95	36	.	.	PUNCT
ddj-177	96	1	the	the	DET
ddj-177	96	2	codon	codon	NOUN
ddj-177	96	3	for	for	ADP
ddj-177	96	4	tryptophan	tryptophan	NOUN
ddj-177	96	5	,	,	PUNCT
ddj-177	96	6	notably	notably	ADV
ddj-177	96	7	,	,	PUNCT
ddj-177	96	8	can	can	AUX
ddj-177	96	9	become	become	VERB
ddj-177	96	10	the	the	DET
ddj-177	96	11	stop	stop	NOUN
ddj-177	96	12	codon	codon	ADJ
ddj-177	96	13	in	in	ADP
ddj-177	96	14	some	some	DET
ddj-177	96	15	species	specie	NOUN
ddj-177	96	16	,	,	PUNCT
ddj-177	96	17	and	and	CCONJ
ddj-177	96	18	vice	vice	ADV
ddj-177	96	19	versa	versa	ADV
ddj-177	96	20	.	.	PUNCT
ddj-177	97	1	3	3	X
ddj-177	97	2	.	.	X
ddj-177	97	3	the	the	DET
ddj-177	97	4	geometrical	geometrical	ADJ
ddj-177	97	5	representation	representation	NOUN
ddj-177	97	6	algebraic	algebraic	ADJ
ddj-177	97	7	and	and	CCONJ
ddj-177	97	8	geometrical	geometrical	ADJ
ddj-177	97	9	structures	structure	NOUN
ddj-177	97	10	are	be	AUX
ddj-177	97	11	fundamentally	fundamentally	ADV
ddj-177	97	12	dual	dual	ADJ
ddj-177	97	13	.	.	PUNCT
ddj-177	98	1	where	where	SCONJ
ddj-177	98	2	there	there	PRON
ddj-177	98	3	is	be	VERB
ddj-177	98	4	an	an	DET
ddj-177	98	5	algebra	algebra	NOUN
ddj-177	98	6	,	,	PUNCT
ddj-177	98	7	there	there	PRON
ddj-177	98	8	is	be	VERB
ddj-177	98	9	also	also	ADV
ddj-177	98	10	a	a	DET
ddj-177	98	11	geometry	geometry	NOUN
ddj-177	98	12	,	,	PUNCT
ddj-177	98	13	and	and	CCONJ
ddj-177	98	14	vice	vice	ADV
ddj-177	98	15	versa	versa	ADV
ddj-177	98	16	.	.	PUNCT
ddj-177	99	1	it	it	PRON
ddj-177	99	2	is	be	AUX
ddj-177	99	3	easy	easy	ADJ
ddj-177	99	4	to	to	PART
ddj-177	99	5	show	show	VERB
ddj-177	99	6	that	that	SCONJ
ddj-177	99	7	this	this	PRON
ddj-177	99	8	is	be	AUX
ddj-177	99	9	the	the	DET
ddj-177	99	10	case	case	NOUN
ddj-177	99	11	here	here	ADV
ddj-177	99	12	.	.	PUNCT
ddj-177	100	1	the	the	DET
ddj-177	100	2	four	four	NUM
ddj-177	100	3	groups	group	NOUN
ddj-177	100	4	of	of	ADP
ddj-177	100	5	codons	codon	NOUN
ddj-177	100	6	can	can	AUX
ddj-177	100	7	now	now	ADV
ddj-177	100	8	be	be	AUX
ddj-177	100	9	represented	represent	VERB
ddj-177	100	10	on	on	ADP
ddj-177	100	11	the	the	DET
ddj-177	100	12	faces	face	NOUN
ddj-177	100	13	of	of	ADP
ddj-177	100	14	a	a	DET
ddj-177	100	15	regular	regular	ADJ
ddj-177	100	16	icosidodecahedron	icosidodecahedron	NOUN
ddj-177	100	17	,	,	PUNCT
ddj-177	100	18	divided	divide	VERB
ddj-177	100	19	into	into	ADP
ddj-177	100	20	four	four	NUM
ddj-177	100	21	equal	equal	ADJ
ddj-177	100	22	sections	section	NOUN
ddj-177	100	23	.	.	PUNCT
ddj-177	101	1	(	(	PUNCT
ddj-177	101	2	we	we	PRON
ddj-177	101	3	could	could	AUX
ddj-177	101	4	use	use	VERB
ddj-177	101	5	the	the	DET
ddj-177	101	6	combined	combine	VERB
ddj-177	101	7	faces	face	NOUN
ddj-177	101	8	plus	plus	CCONJ
ddj-177	101	9	vertices	vertex	NOUN
ddj-177	101	10	of	of	ADP
ddj-177	101	11	a	a	DET
ddj-177	101	12	dodecahedron	dodecahedron	NOUN
ddj-177	101	13	or	or	CCONJ
ddj-177	101	14	icosahedron	icosahedron	NOUN
ddj-177	101	15	.	.	PUNCT
ddj-177	101	16	)	)	PUNCT
ddj-177	102	1	the	the	DET
ddj-177	102	2	negative	negative	ADJ
ddj-177	102	3	units	unit	NOUN
ddj-177	102	4	are	be	AUX
ddj-177	102	5	not	not	PART
ddj-177	102	6	shown	show	VERB
ddj-177	102	7	in	in	ADP
ddj-177	102	8	the	the	DET
ddj-177	102	9	figures	figure	NOUN
ddj-177	102	10	,	,	PUNCT
ddj-177	102	11	but	but	CCONJ
ddj-177	102	12	can	can	AUX
ddj-177	102	13	be	be	AUX
ddj-177	102	14	assumed	assume	VERB
ddj-177	102	15	either	either	CCONJ
ddj-177	102	16	to	to	PART
ddj-177	102	17	be	be	AUX
ddj-177	102	18	represented	represent	VERB
ddj-177	102	19	on	on	ADP
ddj-177	102	20	the	the	DET
ddj-177	102	21	corresponding	corresponding	ADJ
ddj-177	102	22	vertices	vertex	NOUN
ddj-177	102	23	of	of	ADP
ddj-177	102	24	the	the	DET
ddj-177	102	25	dual	dual	ADJ
ddj-177	102	26	rhombic	rhombic	ADJ
ddj-177	102	27	triacontahedron	triacontahedron	NOUN
ddj-177	102	28	,	,	PUNCT
ddj-177	102	29	or	or	CCONJ
ddj-177	102	30	on	on	ADP
ddj-177	102	31	the	the	DET
ddj-177	102	32	inner	inner	ADJ
ddj-177	102	33	,	,	PUNCT
ddj-177	102	34	rather	rather	ADV
ddj-177	102	35	than	than	ADP
ddj-177	102	36	outer	outer	ADJ
ddj-177	102	37	,	,	PUNCT
ddj-177	102	38	surface	surface	NOUN
ddj-177	102	39	of	of	ADP
ddj-177	102	40	the	the	DET
ddj-177	102	41	icosidodecahedron	icosidodecahedron	PROPN
ddj-177	102	42	.	.	PUNCT
ddj-177	103	1	figure	figure	NOUN
ddj-177	103	2	1	1	NUM
ddj-177	103	3	.	.	PUNCT
ddj-177	104	1	algebraic	algebraic	ADJ
ddj-177	104	2	geometry	geometry	NOUN
ddj-177	104	3	for	for	ADP
ddj-177	104	4	representing	represent	VERB
ddj-177	104	5	codons	codon	NOUN
ddj-177	104	6	on	on	ADP
ddj-177	104	7	the	the	DET
ddj-177	104	8	icosidodecahedron	icosidodecahedron	PROPN
ddj-177	104	9	.	.	PUNCT
ddj-177	105	1	dna	dna	PROPN
ddj-177	105	2	decipher	decipher	PROPN
ddj-177	105	3	journal	journal	PROPN
ddj-177	105	4	|	|	ADV
ddj-177	105	5	october	october	PROPN
ddj-177	105	6	2021	2021	NUM
ddj-177	105	7	|	|	ADV
ddj-177	105	8	volume	volume	NOUN
ddj-177	105	9	11	11	NUM
ddj-177	105	10	|	|	NOUN
ddj-177	105	11	issue	issue	VERB
ddj-177	105	12	1	1	NUM
ddj-177	105	13	|	|	ADV
ddj-177	105	14	pp	pp	ADV
ddj-177	105	15	01	01	NUM
ddj-177	105	16	-	-	PUNCT
ddj-177	105	17	xx	xx	NUM
ddj-177	105	18	amoroso	amoroso	PROPN
ddj-177	105	19	,	,	PUNCT
ddj-177	105	20	r.	r.	PROPN
ddj-177	105	21	l.	l.	PROPN
ddj-177	105	22	&	&	CCONJ
ddj-177	105	23	rowlands	rowlands	PROPN
ddj-177	105	24	,	,	PUNCT
ddj-177	105	25	p.	p.	NOUN
ddj-177	105	26	,	,	PUNCT
ddj-177	105	27	algebraic	algebraic	ADJ
ddj-177	105	28	and	and	CCONJ
ddj-177	105	29	geometric	geometric	ADJ
ddj-177	105	30	representations	representation	NOUN
ddj-177	105	31	of	of	ADP
ddj-177	105	32	the	the	DET
ddj-177	105	33	genetic	genetic	ADJ
ddj-177	105	34	code	code	NOUN
ddj-177	105	35	issn	issn	NOUN
ddj-177	105	36	:	:	PUNCT
ddj-177	105	37	2159	2159	NUM
ddj-177	105	38	-	-	PUNCT
ddj-177	105	39	046x	046x	NOUN
ddj-177	105	40	dna	dna	NOUN
ddj-177	105	41	decipher	decipher	PROPN
ddj-177	105	42	journal	journal	NOUN
ddj-177	105	43	published	publish	VERB
ddj-177	105	44	by	by	ADP
ddj-177	105	45	quantumdream	quantumdream	PROPN
ddj-177	105	46	,	,	PUNCT
ddj-177	105	47	inc	inc	PROPN
ddj-177	105	48	.	.	PROPN
ddj-177	105	49	www.dnadecipher.com	www.dnadecipher.com	X
ddj-177	106	1	7	7	NUM
ddj-177	107	1	the	the	DET
ddj-177	107	2	codons	codon	NOUN
ddj-177	107	3	can	can	AUX
ddj-177	107	4	be	be	AUX
ddj-177	107	5	represented	represent	VERB
ddj-177	107	6	on	on	ADP
ddj-177	107	7	these	these	DET
ddj-177	107	8	diagrams	diagram	NOUN
ddj-177	107	9	in	in	ADP
ddj-177	107	10	the	the	DET
ddj-177	107	11	form	form	NOUN
ddj-177	107	12	:	:	PUNCT
ddj-177	107	13	figure	figure	NOUN
ddj-177	107	14	2	2	NUM
ddj-177	107	15	.	.	PUNCT
ddj-177	108	1	codons	codon	NOUN
ddj-177	108	2	representations	representation	VERB
ddj-177	108	3	the	the	DET
ddj-177	108	4	amino	amino	NOUN
ddj-177	108	5	acids	acid	NOUN
ddj-177	108	6	coded	code	VERB
ddj-177	108	7	can	can	AUX
ddj-177	108	8	be	be	AUX
ddj-177	108	9	represented	represent	VERB
ddj-177	108	10	as	as	SCONJ
ddj-177	108	11	follows	follow	VERB
ddj-177	108	12	:	:	PUNCT
ddj-177	108	13	dna	dna	PROPN
ddj-177	108	14	decipher	decipher	PROPN
ddj-177	108	15	journal	journal	PROPN
ddj-177	108	16	|	|	ADV
ddj-177	108	17	october	october	PROPN
ddj-177	108	18	2021	2021	NUM
ddj-177	108	19	|	|	ADV
ddj-177	108	20	volume	volume	NOUN
ddj-177	108	21	11	11	NUM
ddj-177	108	22	|	|	NOUN
ddj-177	108	23	issue	issue	VERB
ddj-177	108	24	1	1	NUM
ddj-177	109	1	|	|	ADV
ddj-177	109	2	pp	pp	ADV
ddj-177	109	3	01	01	NUM
ddj-177	109	4	-	-	SYM
ddj-177	109	5	10	10	NUM
ddj-177	109	6	amoroso	amoroso	PROPN
ddj-177	109	7	,	,	PUNCT
ddj-177	109	8	r.	r.	PROPN
ddj-177	109	9	l.	l.	PROPN
ddj-177	109	10	&	&	CCONJ
ddj-177	109	11	rowlands	rowlands	PROPN
ddj-177	109	12	,	,	PUNCT
ddj-177	109	13	p.	p.	NOUN
ddj-177	109	14	,	,	PUNCT
ddj-177	109	15	algebraic	algebraic	ADJ
ddj-177	109	16	and	and	CCONJ
ddj-177	109	17	geometric	geometric	ADJ
ddj-177	109	18	representations	representation	NOUN
ddj-177	109	19	of	of	ADP
ddj-177	109	20	the	the	DET
ddj-177	109	21	genetic	genetic	ADJ
ddj-177	109	22	code	code	NOUN
ddj-177	109	23	issn	issn	NOUN
ddj-177	109	24	:	:	PUNCT
ddj-177	109	25	2159	2159	NUM
ddj-177	109	26	-	-	PUNCT
ddj-177	109	27	046x	046x	NOUN
ddj-177	109	28	dna	dna	NOUN
ddj-177	109	29	decipher	decipher	PROPN
ddj-177	109	30	journal	journal	NOUN
ddj-177	109	31	published	publish	VERB
ddj-177	109	32	by	by	ADP
ddj-177	109	33	quantumdream	quantumdream	PROPN
ddj-177	109	34	,	,	PUNCT
ddj-177	109	35	inc	inc	PROPN
ddj-177	109	36	.	.	PROPN
ddj-177	109	37	www.dnadecipher.com	www.dnadecipher.com	X
ddj-177	109	38	8	8	NUM
ddj-177	109	39	figure	figure	NOUN
ddj-177	109	40	3	3	NUM
ddj-177	109	41	.	.	PUNCT
ddj-177	110	1	amino	amino	ADJ
ddj-177	110	2	acids	acid	NOUN
ddj-177	110	3	on	on	ADP
ddj-177	110	4	the	the	DET
ddj-177	110	5	icosidodecahedron	icosidodecahedron	NOUN
ddj-177	110	6	.	.	PUNCT
ddj-177	111	1	here	here	ADV
ddj-177	111	2	,	,	PUNCT
ddj-177	111	3	the	the	DET
ddj-177	111	4	position	position	NOUN
ddj-177	111	5	of	of	ADP
ddj-177	111	6	serine	serine	NOUN
ddj-177	111	7	in	in	ADP
ddj-177	111	8	two	two	NUM
ddj-177	111	9	separate	separate	ADJ
ddj-177	111	10	groups	group	NOUN
ddj-177	111	11	gives	give	VERB
ddj-177	111	12	an	an	DET
ddj-177	111	13	idea	idea	NOUN
ddj-177	111	14	of	of	ADP
ddj-177	111	15	how	how	SCONJ
ddj-177	111	16	the	the	DET
ddj-177	111	17	four	four	NUM
ddj-177	111	18	sections	section	NOUN
ddj-177	111	19	might	might	AUX
ddj-177	111	20	be	be	AUX
ddj-177	111	21	connected	connect	VERB
ddj-177	111	22	.	.	PUNCT
ddj-177	112	1	one	one	NUM
ddj-177	112	2	of	of	ADP
ddj-177	112	3	the	the	DET
ddj-177	112	4	significant	significant	ADJ
ddj-177	112	5	aspects	aspect	NOUN
ddj-177	112	6	of	of	ADP
ddj-177	112	7	the	the	DET
ddj-177	112	8	first	first	ADJ
ddj-177	112	9	three	three	NUM
ddj-177	112	10	sections	section	NOUN
ddj-177	112	11	in	in	ADP
ddj-177	112	12	alternative	alternative	ADJ
ddj-177	112	13	arrangement	arrangement	NOUN
ddj-177	112	14	(	(	PUNCT
ddj-177	112	15	below	below	ADV
ddj-177	112	16	)	)	PUNCT
ddj-177	112	17	is	be	AUX
ddj-177	112	18	that	that	SCONJ
ddj-177	112	19	the	the	DET
ddj-177	112	20	algebraic	algebraic	ADJ
ddj-177	112	21	units	unit	NOUN
ddj-177	112	22	of	of	ADP
ddj-177	112	23	the	the	DET
ddj-177	112	24	three	three	NUM
ddj-177	112	25	pentagons	pentagon	NOUN
ddj-177	112	26	in	in	ADP
ddj-177	112	27	each	each	PRON
ddj-177	112	28	,	,	PUNCT
ddj-177	112	29	combined	combine	VERB
ddj-177	112	30	with	with	ADP
ddj-177	112	31	those	those	PRON
ddj-177	112	32	of	of	ADP
ddj-177	112	33	the	the	DET
ddj-177	112	34	two	two	NUM
ddj-177	112	35	outer	outer	ADJ
ddj-177	112	36	triangles	triangle	NOUN
ddj-177	112	37	on	on	ADP
ddj-177	112	38	the	the	DET
ddj-177	112	39	lowest	low	ADJ
ddj-177	112	40	pentagon	pentagon	NOUN
ddj-177	112	41	form	form	VERB
ddj-177	112	42	the	the	DET
ddj-177	112	43	basis	basis	NOUN
ddj-177	112	44	of	of	ADP
ddj-177	112	45	a	a	DET
ddj-177	112	46	nilpotent	nilpotent	ADJ
ddj-177	112	47	structure	structure	NOUN
ddj-177	112	48	,	,	PUNCT
ddj-177	112	49	such	such	ADJ
ddj-177	112	50	as	as	SCONJ
ddj-177	112	51	we	we	PRON
ddj-177	112	52	find	find	VERB
ddj-177	112	53	in	in	ADP
ddj-177	112	54	the	the	DET
ddj-177	112	55	amplitude	amplitude	NOUN
ddj-177	112	56	term	term	NOUN
ddj-177	112	57	in	in	ADP
ddj-177	112	58	the	the	DET
ddj-177	112	59	nilpotent	nilpotent	ADJ
ddj-177	112	60	dirac	dirac	NOUN
ddj-177	112	61	equation	equation	NOUN
ddj-177	112	62	(	(	PUNCT
ddj-177	112	63	ike	ike	NOUN
ddj-177	112	64	+	+	NUM
ddj-177	112	65	iipx	iipx	VERB
ddj-177	112	66	+	+	CCONJ
ddj-177	112	67	ijpy	ijpy	ADJ
ddj-177	112	68	+	+	CCONJ
ddj-177	112	69	ikpz	ikpz	NOUN
ddj-177	112	70	+	+	CCONJ
ddj-177	112	71	jm	jm	NOUN
ddj-177	112	72	)	)	PUNCT
ddj-177	112	73	.	.	PUNCT
ddj-177	113	1	at	at	ADP
ddj-177	113	2	the	the	DET
ddj-177	113	3	same	same	ADJ
ddj-177	113	4	time	time	NOUN
ddj-177	113	5	,	,	PUNCT
ddj-177	113	6	the	the	DET
ddj-177	113	7	five	five	NUM
ddj-177	113	8	triangles	triangle	NOUN
ddj-177	113	9	taken	take	VERB
ddj-177	113	10	together	together	ADV
ddj-177	113	11	form	form	VERB
ddj-177	113	12	the	the	DET
ddj-177	113	13	basis	basis	NOUN
ddj-177	113	14	of	of	ADP
ddj-177	113	15	another	another	DET
ddj-177	113	16	nilpotent	nilpotent	ADJ
ddj-177	113	17	structure	structure	NOUN
ddj-177	113	18	.	.	PUNCT
ddj-177	114	1	so	so	ADV
ddj-177	114	2	,	,	PUNCT
ddj-177	114	3	the	the	DET
ddj-177	114	4	three	three	NUM
ddj-177	114	5	inner	inner	ADJ
ddj-177	114	6	triangles	triangle	NOUN
ddj-177	114	7	and	and	CCONJ
ddj-177	114	8	the	the	DET
ddj-177	114	9	three	three	NUM
ddj-177	114	10	pentagons	pentagon	NOUN
ddj-177	114	11	display	display	VERB
ddj-177	114	12	a	a	DET
ddj-177	114	13	duality	duality	NOUN
ddj-177	114	14	in	in	ADP
ddj-177	114	15	that	that	SCONJ
ddj-177	114	16	either	either	DET
ddj-177	114	17	group	group	NOUN
ddj-177	114	18	can	can	AUX
ddj-177	114	19	be	be	AUX
ddj-177	114	20	used	use	VERB
ddj-177	114	21	with	with	ADP
ddj-177	114	22	the	the	DET
ddj-177	114	23	two	two	NUM
ddj-177	114	24	outer	outer	ADJ
ddj-177	114	25	triangles	triangle	NOUN
ddj-177	114	26	to	to	PART
ddj-177	114	27	generate	generate	VERB
ddj-177	114	28	a	a	DET
ddj-177	114	29	set	set	NOUN
ddj-177	114	30	of	of	ADP
ddj-177	114	31	nilpotent	nilpotent	ADJ
ddj-177	114	32	units	unit	NOUN
ddj-177	114	33	(	(	PUNCT
ddj-177	114	34	though	though	SCONJ
ddj-177	114	35	with	with	SCONJ
ddj-177	114	36	their	their	PRON
ddj-177	114	37	roles	role	NOUN
ddj-177	114	38	switched	switch	VERB
ddj-177	114	39	in	in	ADP
ddj-177	114	40	the	the	DET
ddj-177	114	41	two	two	NUM
ddj-177	114	42	cases	case	NOUN
ddj-177	114	43	)	)	PUNCT
ddj-177	114	44	.	.	PUNCT
ddj-177	115	1	this	this	PRON
ddj-177	115	2	provides	provide	VERB
ddj-177	115	3	another	another	DET
ddj-177	115	4	way	way	NOUN
ddj-177	115	5	of	of	ADP
ddj-177	115	6	generating	generate	VERB
ddj-177	115	7	12	12	NUM
ddj-177	115	8	nilpotent	nilpotent	ADJ
ddj-177	115	9	structures	structure	NOUN
ddj-177	115	10	from	from	ADP
ddj-177	115	11	the	the	DET
ddj-177	115	12	algebra	algebra	NOUN
ddj-177	115	13	.	.	PUNCT
ddj-177	116	1	even	even	ADV
ddj-177	116	2	using	use	VERB
ddj-177	116	3	the	the	DET
ddj-177	116	4	first	first	ADJ
ddj-177	116	5	version	version	NOUN
ddj-177	116	6	of	of	ADP
ddj-177	116	7	the	the	DET
ddj-177	116	8	icosidodecahedral	icosidodecahedral	ADJ
ddj-177	116	9	sections	section	NOUN
ddj-177	116	10	,	,	PUNCT
ddj-177	116	11	we	we	PRON
ddj-177	116	12	can	can	AUX
ddj-177	116	13	connect	connect	VERB
ddj-177	116	14	these	these	DET
ddj-177	116	15	triangles	triangle	NOUN
ddj-177	116	16	making	make	VERB
ddj-177	116	17	up	up	ADP
ddj-177	116	18	the	the	DET
ddj-177	116	19	nilpotent	nilpotent	ADJ
ddj-177	116	20	units	unit	NOUN
ddj-177	116	21	with	with	ADP
ddj-177	116	22	the	the	DET
ddj-177	116	23	upper	upper	ADJ
ddj-177	116	24	pentagons	pentagon	NOUN
ddj-177	116	25	,	,	PUNCT
ddj-177	116	26	and	and	CCONJ
ddj-177	116	27	so	so	ADV
ddj-177	116	28	maintain	maintain	VERB
ddj-177	116	29	the	the	DET
ddj-177	116	30	nilpotent	nilpotent	ADJ
ddj-177	116	31	structure	structure	NOUN
ddj-177	116	32	.	.	PUNCT
ddj-177	117	1	nilpotency	nilpotency	NOUN
ddj-177	117	2	is	be	AUX
ddj-177	117	3	one	one	NUM
ddj-177	117	4	of	of	ADP
ddj-177	117	5	the	the	DET
ddj-177	117	6	assumed	assume	VERB
ddj-177	117	7	bases	basis	NOUN
ddj-177	117	8	of	of	ADP
ddj-177	117	9	the	the	DET
ddj-177	117	10	overall	overall	ADJ
ddj-177	117	11	pattern	pattern	NOUN
ddj-177	117	12	that	that	PRON
ddj-177	117	13	we	we	PRON
ddj-177	117	14	have	have	AUX
ddj-177	117	15	described	describe	VERB
ddj-177	117	16	as	as	ADP
ddj-177	117	17	nature	nature	NOUN
ddj-177	117	18	’s	’s	PART
ddj-177	117	19	code	code	NOUN
ddj-177	117	20	,	,	PUNCT
ddj-177	117	21	and	and	CCONJ
ddj-177	117	22	it	it	PRON
ddj-177	117	23	appears	appear	VERB
ddj-177	117	24	to	to	PART
ddj-177	117	25	be	be	AUX
ddj-177	117	26	the	the	DET
ddj-177	117	27	means	mean	NOUN
ddj-177	117	28	by	by	ADP
ddj-177	117	29	which	which	PRON
ddj-177	117	30	a	a	DET
ddj-177	117	31	self	self	NOUN
ddj-177	117	32	-	-	PUNCT
ddj-177	117	33	organizing	organize	VERB
ddj-177	117	34	system	system	NOUN
ddj-177	117	35	connects	connect	VERB
ddj-177	117	36	with	with	ADP
ddj-177	117	37	its	its	PRON
ddj-177	117	38	external	external	ADJ
ddj-177	117	39	dna	dna	NOUN
ddj-177	117	40	decipher	decipher	PROPN
ddj-177	117	41	journal	journal	NOUN
ddj-177	117	42	|	|	ADV
ddj-177	117	43	october	october	PROPN
ddj-177	117	44	2021	2021	NUM
ddj-177	117	45	|	|	ADV
ddj-177	117	46	volume	volume	NOUN
ddj-177	117	47	11	11	NUM
ddj-177	117	48	|	|	NOUN
ddj-177	117	49	issue	issue	VERB
ddj-177	117	50	1	1	NUM
ddj-177	118	1	|	|	ADV
ddj-177	118	2	pp	pp	ADV
ddj-177	118	3	01	01	NUM
ddj-177	118	4	-	-	PUNCT
ddj-177	118	5	xx	xx	NUM
ddj-177	118	6	amoroso	amoroso	PROPN
ddj-177	118	7	,	,	PUNCT
ddj-177	118	8	r.	r.	PROPN
ddj-177	118	9	l.	l.	PROPN
ddj-177	118	10	&	&	CCONJ
ddj-177	118	11	rowlands	rowlands	PROPN
ddj-177	118	12	,	,	PUNCT
ddj-177	118	13	p.	p.	NOUN
ddj-177	118	14	,	,	PUNCT
ddj-177	118	15	algebraic	algebraic	ADJ
ddj-177	118	16	and	and	CCONJ
ddj-177	118	17	geometric	geometric	ADJ
ddj-177	118	18	representations	representation	NOUN
ddj-177	118	19	of	of	ADP
ddj-177	118	20	the	the	DET
ddj-177	118	21	genetic	genetic	ADJ
ddj-177	118	22	code	code	NOUN
ddj-177	118	23	issn	issn	NOUN
ddj-177	118	24	:	:	PUNCT
ddj-177	118	25	2159	2159	NUM
ddj-177	118	26	-	-	PUNCT
ddj-177	118	27	046x	046x	NOUN
ddj-177	118	28	dna	dna	NOUN
ddj-177	118	29	decipher	decipher	PROPN
ddj-177	118	30	journal	journal	NOUN
ddj-177	118	31	published	publish	VERB
ddj-177	118	32	by	by	ADP
ddj-177	118	33	quantumdream	quantumdream	PROPN
ddj-177	118	34	,	,	PUNCT
ddj-177	118	35	inc	inc	PROPN
ddj-177	118	36	.	.	PROPN
ddj-177	118	37	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-177	118	38	9	9	NUM
ddj-177	118	39	environment	environment	NOUN
ddj-177	118	40	.	.	PUNCT
ddj-177	119	1	its	its	PRON
ddj-177	119	2	presence	presence	NOUN
ddj-177	119	3	in	in	ADP
ddj-177	119	4	these	these	DET
ddj-177	119	5	geometric	geometric	ADJ
ddj-177	119	6	structures	structure	NOUN
ddj-177	119	7	indicates	indicate	VERB
ddj-177	119	8	the	the	DET
ddj-177	119	9	real	real	ADJ
ddj-177	119	10	importance	importance	NOUN
ddj-177	119	11	of	of	ADP
ddj-177	119	12	geometry	geometry	NOUN
ddj-177	119	13	in	in	ADP
ddj-177	119	14	the	the	DET
ddj-177	119	15	genetic	genetic	ADJ
ddj-177	119	16	code	code	NOUN
ddj-177	119	17	as	as	ADP
ddj-177	119	18	a	a	DET
ddj-177	119	19	route	route	NOUN
ddj-177	119	20	towards	towards	ADP
ddj-177	119	21	self	self	NOUN
ddj-177	119	22	-	-	PUNCT
ddj-177	119	23	organization	organization	NOUN
ddj-177	119	24	.	.	PUNCT
ddj-177	120	1	figure	figure	VERB
ddj-177	120	2	4	4	NUM
ddj-177	120	3	.	.	PUNCT
ddj-177	121	1	quaternion	quaternion	VERB
ddj-177	121	2	algebraic	algebraic	ADJ
ddj-177	121	3	representation	representation	NOUN
ddj-177	121	4	.	.	PUNCT
ddj-177	122	1	appendix	appendix	NOUN
ddj-177	122	2	:	:	PUNCT
ddj-177	122	3	note	note	NOUN
ddj-177	122	4	on	on	ADP
ddj-177	122	5	the	the	DET
ddj-177	122	6	regular	regular	ADJ
ddj-177	122	7	icosidodecahedron	icosidodecahedron	NOUN
ddj-177	122	8	geometrically	geometrically	ADV
ddj-177	122	9	,	,	PUNCT
ddj-177	122	10	an	an	DET
ddj-177	122	11	icosidodecahedron	icosidodecahedron	NOUN
ddj-177	122	12	is	be	AUX
ddj-177	122	13	a	a	DET
ddj-177	122	14	polyhedron	polyhedron	NOUN
ddj-177	122	15	with	with	ADP
ddj-177	122	16	twenty	twenty	NUM
ddj-177	122	17	(	(	PUNCT
ddj-177	122	18	icosi	icosi	NOUN
ddj-177	122	19	)	)	PUNCT
ddj-177	122	20	triangular	triangular	NOUN
ddj-177	122	21	faces	face	NOUN
ddj-177	122	22	and	and	CCONJ
ddj-177	122	23	twelve	twelve	NUM
ddj-177	122	24	(	(	PUNCT
ddj-177	122	25	dodeca	dodeca	NOUN
ddj-177	122	26	)	)	PUNCT
ddj-177	122	27	pentagonal	pentagonal	ADJ
ddj-177	122	28	faces	face	NOUN
ddj-177	122	29	.	.	PUNCT
ddj-177	123	1	an	an	DET
ddj-177	123	2	icosidodecahedron	icosidodecahedron	PROPN
ddj-177	123	3	has	have	VERB
ddj-177	123	4	30	30	NUM
ddj-177	123	5	identical	identical	ADJ
ddj-177	123	6	vertices	vertex	NOUN
ddj-177	123	7	,	,	PUNCT
ddj-177	123	8	with	with	ADP
ddj-177	123	9	two	two	NUM
ddj-177	123	10	triangles	triangle	NOUN
ddj-177	123	11	and	and	CCONJ
ddj-177	123	12	two	two	NUM
ddj-177	123	13	pentagons	pentagon	NOUN
ddj-177	123	14	meeting	meet	VERB
ddj-177	123	15	at	at	ADP
ddj-177	123	16	each	each	DET
ddj-177	123	17	vertex	vertex	NOUN
ddj-177	123	18	.	.	PUNCT
ddj-177	124	1	it	it	PRON
ddj-177	124	2	also	also	ADV
ddj-177	124	3	has	have	VERB
ddj-177	124	4	60	60	NUM
ddj-177	124	5	identical	identical	ADJ
ddj-177	124	6	edges	edge	NOUN
ddj-177	124	7	,	,	PUNCT
ddj-177	124	8	each	each	PRON
ddj-177	124	9	separating	separate	VERB
ddj-177	124	10	a	a	DET
ddj-177	124	11	triangle	triangle	NOUN
ddj-177	124	12	from	from	ADP
ddj-177	124	13	a	a	DET
ddj-177	124	14	pentagon	pentagon	PROPN
ddj-177	124	15	.	.	PUNCT
ddj-177	125	1	because	because	SCONJ
ddj-177	125	2	of	of	ADP
ddj-177	125	3	this	this	PRON
ddj-177	125	4	,	,	PUNCT
ddj-177	125	5	it	it	PRON
ddj-177	125	6	is	be	AUX
ddj-177	125	7	one	one	NUM
ddj-177	125	8	of	of	ADP
ddj-177	125	9	the	the	DET
ddj-177	125	10	archimedean	archimedean	ADJ
ddj-177	125	11	solids	solid	NOUN
ddj-177	125	12	dna	dna	PROPN
ddj-177	125	13	decipher	decipher	PROPN
ddj-177	125	14	journal	journal	PROPN
ddj-177	125	15	|	|	ADV
ddj-177	125	16	october	october	PROPN
ddj-177	125	17	2021	2021	NUM
ddj-177	125	18	|	|	ADV
ddj-177	125	19	volume	volume	NOUN
ddj-177	125	20	11	11	NUM
ddj-177	125	21	|	|	NOUN
ddj-177	125	22	issue	issue	VERB
ddj-177	125	23	1	1	NUM
ddj-177	126	1	|	|	ADV
ddj-177	126	2	pp	pp	ADV
ddj-177	126	3	01	01	NUM
ddj-177	126	4	-	-	SYM
ddj-177	126	5	10	10	NUM
ddj-177	126	6	amoroso	amoroso	PROPN
ddj-177	126	7	,	,	PUNCT
ddj-177	126	8	r.	r.	PROPN
ddj-177	126	9	l.	l.	PROPN
ddj-177	126	10	&	&	CCONJ
ddj-177	126	11	rowlands	rowlands	PROPN
ddj-177	126	12	,	,	PUNCT
ddj-177	126	13	p.	p.	NOUN
ddj-177	126	14	,	,	PUNCT
ddj-177	126	15	algebraic	algebraic	ADJ
ddj-177	126	16	and	and	CCONJ
ddj-177	126	17	geometric	geometric	ADJ
ddj-177	126	18	representations	representation	NOUN
ddj-177	126	19	of	of	ADP
ddj-177	126	20	the	the	DET
ddj-177	126	21	genetic	genetic	ADJ
ddj-177	126	22	code	code	NOUN
ddj-177	126	23	issn	issn	NOUN
ddj-177	126	24	:	:	PUNCT
ddj-177	126	25	2159	2159	NUM
ddj-177	126	26	-	-	PUNCT
ddj-177	126	27	046x	046x	NOUN
ddj-177	126	28	dna	dna	NOUN
ddj-177	126	29	decipher	decipher	PROPN
ddj-177	126	30	journal	journal	NOUN
ddj-177	126	31	published	publish	VERB
ddj-177	126	32	by	by	ADP
ddj-177	126	33	quantumdream	quantumdream	PROPN
ddj-177	126	34	,	,	PUNCT
ddj-177	126	35	inc	inc	PROPN
ddj-177	126	36	.	.	PROPN
ddj-177	126	37	www.dnadecipher.com	www.dnadecipher.com	PROPN
ddj-177	127	1	10	10	NUM
ddj-177	127	2	figure	figure	NOUN
ddj-177	127	3	5	5	NUM
ddj-177	127	4	.	.	PUNCT
ddj-177	127	5	two	two	NUM
ddj-177	127	6	views	view	NOUN
ddj-177	127	7	of	of	ADP
ddj-177	127	8	the	the	DET
ddj-177	127	9	icosidodecahedron	icosidodecahedron	NOUN
ddj-177	127	10	.	.	PUNCT
ddj-177	128	1	all	all	DET
ddj-177	128	2	archimedean	archimedean	ADJ
ddj-177	128	3	solids	solid	NOUN
ddj-177	128	4	can	can	AUX
ddj-177	128	5	be	be	AUX
ddj-177	128	6	produced	produce	VERB
ddj-177	128	7	from	from	ADP
ddj-177	128	8	platonic	platonic	ADJ
ddj-177	128	9	solids	solid	NOUN
ddj-177	128	10	,	,	PUNCT
ddj-177	128	11	by	by	ADP
ddj-177	128	12	‘	'	PUNCT
ddj-177	128	13	cutting	cut	VERB
ddj-177	128	14	the	the	DET
ddj-177	128	15	edges	edge	NOUN
ddj-177	128	16	’	'	PUNCT
ddj-177	128	17	of	of	ADP
ddj-177	128	18	the	the	DET
ddj-177	128	19	platonic	platonic	ADJ
ddj-177	128	20	solid	solid	NOUN
ddj-177	128	21	.	.	PUNCT
ddj-177	129	1	likewise	likewise	ADV
ddj-177	129	2	,	,	PUNCT
ddj-177	129	3	platonic	platonic	ADJ
ddj-177	129	4	solids	solid	NOUN
ddj-177	129	5	can	can	AUX
ddj-177	129	6	be	be	AUX
ddj-177	129	7	turned	turn	VERB
ddj-177	129	8	into	into	ADP
ddj-177	129	9	archimedean	archimedean	ADJ
ddj-177	129	10	solids	solid	NOUN
ddj-177	129	11	by	by	ADP
ddj-177	129	12	following	follow	VERB
ddj-177	129	13	a	a	DET
ddj-177	129	14	series	series	NOUN
ddj-177	129	15	of	of	ADP
ddj-177	129	16	rules	rule	NOUN
ddj-177	129	17	for	for	ADP
ddj-177	129	18	their	their	PRON
ddj-177	129	19	construction	construction	NOUN
ddj-177	129	20	.	.	PUNCT
ddj-177	130	1	interestingly	interestingly	ADV
ddj-177	130	2	,	,	PUNCT
ddj-177	130	3	in	in	ADP
ddj-177	130	4	cartesian	cartesian	ADJ
ddj-177	130	5	coordinates	coordinate	NOUN
ddj-177	130	6	,	,	PUNCT
ddj-177	130	7	the	the	DET
ddj-177	130	8	vertices	vertex	NOUN
ddj-177	130	9	of	of	ADP
ddj-177	130	10	an	an	DET
ddj-177	130	11	icosidodecahedron	icosidodecahedron	NOUN
ddj-177	130	12	with	with	ADP
ddj-177	130	13	unit	unit	NOUN
ddj-177	130	14	edges	edge	NOUN
ddj-177	130	15	are	be	AUX
ddj-177	130	16	given	give	VERB
ddj-177	130	17	by	by	ADP
ddj-177	130	18	the	the	DET
ddj-177	130	19	even	even	ADJ
ddj-177	130	20	permutations	permutation	NOUN
ddj-177	130	21	of	of	ADP
ddj-177	130	22			NOUN
ddj-177	130	23			PROPN
ddj-177	130	24	2	2	NUM
ddj-177	130	25	0,0	0,0	NUM
ddj-177	130	26	1	1	NUM
ddj-177	130	27	,	,	PUNCT
ddj-177	130	28	,	,	PUNCT
ddj-177	130	29	2	2	NUM
ddj-177	130	30	2	2	NUM
ddj-177	130	31	2	2	NUM
ddj-177	130	32			ADJ
ddj-177	130	33			PROPN
ddj-177	130	34			PROPN
ddj-177	130	35			PROPN
ddj-177	130	36			NOUN
ddj-177	130	37			NOUN
ddj-177	130	38			PROPN
ddj-177	130	39			PUNCT
ddj-177	130	40			CCONJ
ddj-177	131	1			ADJ
ddj-177	131	2			NOUN
ddj-177	131	3	,	,	PUNCT
ddj-177	131	4	where	where	SCONJ
ddj-177	131	5			PROPN
ddj-177	131	6	is	be	AUX
ddj-177	131	7	the	the	DET
ddj-177	131	8	golden	golden	ADJ
ddj-177	131	9	ratio	ratio	NOUN
ddj-177	131	10	,	,	PUNCT
ddj-177	131	11	1	1	NUM
ddj-177	131	12	5	5	NUM
ddj-177	131	13	2	2	NUM
ddj-177	131	14			X
ddj-177	131	15	[	[	X
ddj-177	131	16	7	7	NUM
ddj-177	131	17	]	]	PUNCT
ddj-177	131	18	.	.	PUNCT
ddj-177	132	1	received	receive	VERB
ddj-177	132	2	june	june	PROPN
ddj-177	132	3	8	8	NUM
ddj-177	132	4	,	,	PUNCT
ddj-177	132	5	2021	2021	NUM
ddj-177	132	6	;	;	PUNCT
ddj-177	132	7	accepted	accept	VERB
ddj-177	132	8	june	june	PROPN
ddj-177	132	9	26	26	NUM
ddj-177	132	10	,	,	PUNCT
ddj-177	132	11	2021	2021	NUM
ddj-177	132	12	references	reference	NOUN
ddj-177	132	13	[	[	X
ddj-177	132	14	1	1	NUM
ddj-177	132	15	]	]	PUNCT
ddj-177	132	16	hill	hill	PROPN
ddj-177	132	17	,	,	PUNCT
ddj-177	132	18	v.j	v.j	PROPN
ddj-177	132	19	.	.	PROPN
ddj-177	132	20	and	and	CCONJ
ddj-177	132	21	rowlands	rowland	NOUN
ddj-177	132	22	,	,	PUNCT
ddj-177	132	23	p.	p.	NOUN
ddj-177	132	24	(	(	PUNCT
ddj-177	132	25	2008	2008	NUM
ddj-177	132	26	)	)	PUNCT
ddj-177	132	27	nature	nature	PROPN
ddj-177	132	28	’s	’s	PART
ddj-177	132	29	code	code	PROPN
ddj-177	132	30	,	,	PUNCT
ddj-177	132	31	aip	aip	PROPN
ddj-177	132	32	conference	conference	NOUN
ddj-177	132	33	proceedings	proceeding	NOUN
ddj-177	132	34	,	,	PUNCT
ddj-177	132	35	1051	1051	NUM
ddj-177	132	36	,	,	PUNCT
ddj-177	132	37	117	117	NUM
ddj-177	132	38	-	-	SYM
ddj-177	132	39	126	126	NUM
ddj-177	132	40	.	.	PUNCT
ddj-177	133	1	[	[	X
ddj-177	133	2	2	2	NUM
ddj-177	133	3	]	]	PUNCT
ddj-177	133	4	hill	hill	PROPN
ddj-177	133	5	,	,	PUNCT
ddj-177	133	6	v.j	v.j	PROPN
ddj-177	133	7	.	.	PROPN
ddj-177	133	8	and	and	CCONJ
ddj-177	133	9	rowlands	rowland	NOUN
ddj-177	133	10	,	,	PUNCT
ddj-177	133	11	p.	p.	NOUN
ddj-177	133	12	(	(	PUNCT
ddj-177	133	13	2010	2010	NUM
ddj-177	133	14	)	)	PUNCT
ddj-177	133	15	nature	nature	NOUN
ddj-177	133	16	’s	’s	PART
ddj-177	133	17	fundamental	fundamental	ADJ
ddj-177	133	18	symmetry	symmetry	NOUN
ddj-177	133	19	breaking	breaking	NOUN
ddj-177	133	20	,	,	PUNCT
ddj-177	133	21	international	international	ADJ
ddj-177	133	22	journal	journal	NOUN
ddj-177	133	23	of	of	ADP
ddj-177	133	24	computing	compute	VERB
ddj-177	133	25	anticipatory	anticipatory	ADJ
ddj-177	133	26	systems	system	NOUN
ddj-177	133	27	,	,	PUNCT
ddj-177	133	28	25	25	NUM
ddj-177	133	29	,	,	PUNCT
ddj-177	133	30	144	144	NUM
ddj-177	133	31	-	-	SYM
ddj-177	133	32	159	159	NUM
ddj-177	133	33	.	.	PUNCT
ddj-177	134	1	[	[	X
ddj-177	134	2	3	3	X
ddj-177	134	3	]	]	X
ddj-177	134	4	hill	hill	PROPN
ddj-177	134	5	,	,	PUNCT
ddj-177	134	6	v.j	v.j	PROPN
ddj-177	134	7	.	.	PROPN
ddj-177	134	8	and	and	CCONJ
ddj-177	134	9	rowlands	rowland	NOUN
ddj-177	134	10	,	,	PUNCT
ddj-177	134	11	p.	p.	NOUN
ddj-177	134	12	(	(	PUNCT
ddj-177	134	13	2010	2010	NUM
ddj-177	134	14	)	)	PUNCT
ddj-177	134	15	the	the	DET
ddj-177	134	16	numbers	number	NOUN
ddj-177	134	17	of	of	ADP
ddj-177	134	18	nature	nature	NOUN
ddj-177	134	19	’s	’s	PART
ddj-177	134	20	code	code	PROPN
ddj-177	134	21	,	,	PUNCT
ddj-177	134	22	international	international	ADJ
ddj-177	134	23	journal	journal	NOUN
ddj-177	134	24	of	of	ADP
ddj-177	134	25	computing	compute	VERB
ddj-177	134	26	anticipatory	anticipatory	ADJ
ddj-177	134	27	systems	system	NOUN
ddj-177	134	28	,	,	PUNCT
ddj-177	134	29	25	25	NUM
ddj-177	134	30	,	,	PUNCT
ddj-177	134	31	160	160	NUM
ddj-177	134	32	-	-	SYM
ddj-177	134	33	175	175	NUM
ddj-177	134	34	.	.	PUNCT
ddj-177	135	1	[	[	X
ddj-177	135	2	4	4	NUM
ddj-177	135	3	]	]	X
ddj-177	135	4	rowlands	rowland	NOUN
ddj-177	135	5	,	,	PUNCT
ddj-177	135	6	p.	p.	NOUN
ddj-177	135	7	(	(	PUNCT
ddj-177	135	8	2007	2007	NUM
ddj-177	135	9	)	)	PUNCT
ddj-177	135	10	zero	zero	NUM
ddj-177	135	11	to	to	ADP
ddj-177	135	12	infinity	infinity	NOUN
ddj-177	135	13	:	:	PUNCT
ddj-177	135	14	the	the	DET
ddj-177	135	15	foundations	foundation	NOUN
ddj-177	135	16	of	of	ADP
ddj-177	135	17	physics	physics	PROPN
ddj-177	135	18	,	,	PUNCT
ddj-177	135	19	singapore	singapore	PROPN
ddj-177	135	20	and	and	CCONJ
ddj-177	135	21	hackensack	hackensack	PROPN
ddj-177	135	22	,	,	PUNCT
ddj-177	135	23	n.j	n.j	PROPN
ddj-177	135	24	.	.	PROPN
ddj-177	135	25	,	,	PUNCT
ddj-177	135	26	world	world	NOUN
ddj-177	135	27	scientific	scientific	ADJ
ddj-177	135	28	.	.	PUNCT
ddj-177	136	1	[	[	X
ddj-177	136	2	5	5	NUM
ddj-177	136	3	]	]	X
ddj-177	136	4	rowlands	rowland	NOUN
ddj-177	136	5	,	,	PUNCT
ddj-177	136	6	p.	p.	NOUN
ddj-177	136	7	(	(	PUNCT
ddj-177	136	8	2010	2010	NUM
ddj-177	136	9	)	)	PUNCT
ddj-177	136	10	dual	dual	ADJ
ddj-177	136	11	vector	vector	NOUN
ddj-177	136	12	spaces	space	NOUN
ddj-177	136	13	and	and	CCONJ
ddj-177	136	14	physical	physical	ADJ
ddj-177	136	15	singularities	singularity	NOUN
ddj-177	136	16	,	,	PUNCT
ddj-177	136	17	aip	aip	PROPN
ddj-177	136	18	conference	conference	NOUN
ddj-177	136	19	proceedings	proceeding	NOUN
ddj-177	136	20	,	,	PUNCT
ddj-177	136	21	1316	1316	NUM
ddj-177	136	22	,	,	PUNCT
ddj-177	136	23	102	102	NUM
ddj-177	136	24	-	-	SYM
ddj-177	136	25	111	111	NUM
ddj-177	136	26	.	.	PUNCT
ddj-177	137	1	[	[	X
ddj-177	137	2	6	6	NUM
ddj-177	137	3	]	]	X
ddj-177	137	4	amoroso	amoroso	PROPN
ddj-177	137	5	,	,	PUNCT
ddj-177	137	6	r.l	r.l	PROPN
ddj-177	137	7	.	.	PROPN
ddj-177	137	8	,	,	PUNCT
ddj-177	137	9	rowlands	rowlands	PROPN
ddj-177	137	10	p.	p.	PROPN
ddj-177	137	11	,	,	PUNCT
ddj-177	137	12	kauffman	kauffman	PROPN
ddj-177	137	13	,	,	PUNCT
ddj-177	137	14	l.h	l.h	PROPN
ddj-177	137	15	.	.	PROPN
ddj-177	137	16	(	(	PUNCT
ddj-177	137	17	2013	2013	NUM
ddj-177	137	18	)	)	PUNCT
ddj-177	137	19	exploring	explore	VERB
ddj-177	137	20	novel	novel	ADJ
ddj-177	137	21	cyclic	cyclic	ADJ
ddj-177	137	22	extensions	extension	NOUN
ddj-177	137	23	of	of	ADP
ddj-177	137	24	hamilton	hamilton	PROPN
ddj-177	137	25	’s	’s	PART
ddj-177	137	26	dual	dual	ADJ
ddj-177	137	27	-	-	PUNCT
ddj-177	137	28	quaternion	quaternion	NOUN
ddj-177	137	29	algebra	algebra	NOUN
ddj-177	137	30	,	,	PUNCT
ddj-177	137	31	in	in	ADP
ddj-177	137	32	r.l	r.l	PROPN
ddj-177	137	33	.	.	PROPN
ddj-177	137	34	amoroso	amoroso	PROPN
ddj-177	137	35	,	,	PUNCT
ddj-177	137	36	l.h	l.h	PROPN
ddj-177	137	37	.	.	PROPN
ddj-177	137	38	kauffman	kauffman	PROPN
ddj-177	137	39	,	,	PUNCT
ddj-177	137	40	p.	p.	PROPN
ddj-177	137	41	rowlands	rowlands	PROPN
ddj-177	137	42	(	(	PUNCT
ddj-177	137	43	eds	ed	NOUN
ddj-177	137	44	.	.	PUNCT
ddj-177	137	45	)	)	PUNCT
ddj-177	138	1	the	the	DET
ddj-177	138	2	physics	physics	NOUN
ddj-177	138	3	of	of	ADP
ddj-177	138	4	reality	reality	NOUN
ddj-177	138	5	space	space	NOUN
ddj-177	138	6	,	,	PUNCT
ddj-177	138	7	time	time	NOUN
ddj-177	138	8	,	,	PUNCT
ddj-177	138	9	matter	matter	NOUN
ddj-177	138	10	,	,	PUNCT
ddj-177	138	11	cosmos	cosmos	PROPN
ddj-177	138	12	,	,	PUNCT
ddj-177	138	13	proceedings	proceeding	NOUN
ddj-177	138	14	of	of	ADP
ddj-177	138	15	the	the	DET
ddj-177	138	16	8th	8th	ADJ
ddj-177	138	17	symposium	symposium	NOUN
ddj-177	138	18	honoring	honor	VERB
ddj-177	138	19	mathematical	mathematical	ADJ
ddj-177	138	20	physicist	physicist	NOUN
ddj-177	138	21	jean	jean	PROPN
ddj-177	138	22	-	-	PUNCT
ddj-177	138	23	pierre	pierre	PROPN
ddj-177	138	24	vigier	vigier	NOUN
ddj-177	138	25	,	,	PUNCT
ddj-177	138	26	pp	pp	PROPN
ddj-177	138	27	.	.	PUNCT
ddj-177	139	1	81	81	NUM
ddj-177	139	2	-	-	SYM
ddj-177	139	3	92	92	NUM
ddj-177	139	4	,	,	PUNCT
ddj-177	139	5	singapore	singapore	PROPN
ddj-177	139	6	:	:	PUNCT
ddj-177	139	7	world	world	NOUN
ddj-177	139	8	scientific	scientific	ADJ
ddj-177	139	9	;	;	PUNCT
ddj-177	139	10	https://vixra.org/pdf/1711.0468v1.pdf	https://vixra.org/pdf/1711.0468v1.pdf	PROPN
ddj-177	139	11	.	.	PUNCT
ddj-177	140	1	[	[	X
ddj-177	140	2	7	7	NUM
ddj-177	140	3	]	]	PUNCT
ddj-177	140	4	weisstein	weisstein	ADV
ddj-177	140	5	,	,	PUNCT
ddj-177	140	6	e.	e.	PROPN
ddj-177	140	7	w.	w.	PROPN
ddj-177	140	8	(	(	PUNCT
ddj-177	140	9	2010	2010	NUM
ddj-177	140	10	)	)	PUNCT
ddj-177	140	11	icosahedral	icosahedral	ADJ
ddj-177	140	12	group	group	NOUN
ddj-177	140	13	,	,	PUNCT
ddj-177	140	14	mathworld	mathworld	NOUN
ddj-177	140	15	,	,	PUNCT
ddj-177	140	16	a	a	DET
ddj-177	140	17	wolfram	wolfram	PROPN
ddj-177	140	18	web	web	NOUN
ddj-177	140	19	resource	resource	NOUN
ddj-177	140	20	;	;	PUNCT
ddj-177	140	21	https://mathworld.wolfram.com/icosahedralgroup.html	https://mathworld.wolfram.com/icosahedralgroup.html	NOUN
ddj-177	140	22	.	.	PUNCT
