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4 i*‚i|hL? TL_i €U@h ti @*|ih?@?_L i?|hi it|it U@?@t #it|@ uLh4@ TL_i4Lt @h}4i?|@h
^i ^@?|L 4@Lh uLh @ hi}@Lc 4@t ttUi|‚>i* L i*‚i|hL? it|@h‚@ @ @h@U@L _@ ?|ih@U@L
tT?‚LhM|@ N4@ 4@?ih@ @*|ih?@|@ _i 3@*t@h it|i ThLUittL tih@ 4 4L_i*L i4
9
Se
Fdswxor 71 Ihqarphqrv Whpsrudlv
1.0
'
0.8
t =0.45
spin p/cima
T ( t so )
0.6
spin p/baixo
0.4
0.2
0.0
0.0
0.2
0.4
0.6
0.8
1.0
Iljxud 714;= Frhflhqwh gh wudqvplvvdr gd fdujd hp ixqfdr gd lqwhudfdr vslq0ruelwd vhqgr txh r hihlwr
vslq0ruelwd hvwd oljdgr hqwuh r ST h vhxv sulphlurv yl}lqkrv h | ' feD/ lvwr h/ r sdfrwh hvwd hp uhvvrqadqfld1
0.28
0.26
0.24
0.22
'
0.20
t =0.1
0.18
T ( t so )
PUC-Rio - Certificação Digital Nº 0014233/CA
tso
0.16
0.14
spin p/baixo
0.12
0.10
0.08
0.06
spin p/cima
0.04
0.02
0.00
0.0
0.2
0.4
0.6
0.8
1.0
tso
Iljxud 714<= Frhflhqwh gh wudqvplvvdr gd fdujd hp ixqfdr gd lqwhudfdr vslq0ruelwd vhqgr txh r hihlwr
vslq0ruelwd hvwd oljdgr hqwuh r ST h vhxv sulphlurv yl}lqkrv h | ' f
SD
7151 Uhvxowdgrv
spin p/cima
spin p/baixo
1.0
0.8
0.6
tso entre os
sitios 175-225
0.4
dt=10
nc=500
-4
T ( t so )
PUC-Rio - Certificação Digital Nº 0014233/CA
Iljxud 7153= Prghor gh vwlrv frp lqwhudfdr vslq0ruelwd hqwuh rv vwlrv 4:8 h 5581
'
t =1.0
0.2
0.0
0.00
0.05
0.10
0.15
0.20
0.25
tso
Iljxud 7154= Frhflhqwh gh wudqvplvvdr gd fdujd hp ixqfdr gd lqwhudfdr vslq0ruelwd vhqgr txh r hihlwr
vslq0ruelwd hvwd oljdgr hqwuh rv vwlrv 4:8 h 558 h | ' f
SS
Fdswxor 71 Ihqarphqrv Whpsrudlv
spin p/cima
spin p/baixo
1.0
0.6
tso entre os
sitios 150-250
0.4
dt=10
nc=500
-4
T ( t so )
0.8
'
t =1.0
0.2
0.0
0.00
0.05
0.10
0.15
0.20
0.25
PUC-Rio - Certificação Digital Nº 0014233/CA
tso
Iljxud 7155= Frhflhqwh gh wudqvplvvdr gd fdujd hp ixqfdr gd lqwhudfdr vslq0ruelwd vhqgr txh r hihlwr
vslq0ruelwd hvwd oljdgr hqwuh rv vwlrv 483 h 583 h | ' f
^i @ TL*@h3@U@L _L T@UL|i _i L?_@ ?U@*4i?|i TL*@h3@_Lc ^@?_L @|h@itt@ @ hi}@L
_i ?|ih@U@L tT?‚LhM|@c @@?U@ i4 uLh4@ _i itTh@*c }h@?_L _i uLh4@ @ |ih _uihi?|it
TL*@h3@ULit T@h@ U@_@ @*Lh _i |rJ
@h@ |it|@h it|i @h}4i?|Lc @ hi}@L uL it|i?__@ i?|hi Lt t‚>|Lt Df i 2Df hit*|@_L ‚i @Thiti?|@_L ?@ €} Ee22 L_i4Lt ?L|@h ^i hi@*4i?|i @ ttUiT|M*_@_i
_L i*‚i|hL? @
?|ih@U@L tT?‚LhM|@ @4i?|@ @ 4i__@ ^i @ hi}@L _i ?|ih@U@L €U@ 4@Lhc
|i?_L UL4L UL?ti^i?U@ 4 4@Lh ?‚4ihL _i LtU*@ULit ?L ULi€Ui?|i _i |h@?t4tt@L
"@?|L 4@Lh @ hi}@L L?_i |rJ ' fc 4i?Lh tih‚@ @ ?|ih@U@L ?iUitt‚@h@ T@h@ h@h L tT?
_L i*‚i|hL?
it|i 4L4i?|Lc u@hi4Lt L 4it4L U‚@*U*L _L ULi€Ui?|i _i |h@?t4tt@Lc 4@t _it|@
i3 UL4 4 " *LU@*3@_L ?L Ui?|hL _L tt|i4@c L ti@c ?L t‚>|L 2ff Lt|h@4Lt ?@
€} Ee2 @ _iTi?_i?U@ _L ULi€Ui?|i _i |h@?t4tt@L _iTi?_i?|i _L tT? i4 u?U@L
_@ ?|ih@U@L tT?‚LhM|@c |rJc ^@?_L it|@ @}i i?|hi Lt t‚>|Lt .D i 22D T@h@ 4 i*i4i?|L
_i 4@|h3 ?L " }@* @ | ' feDc }@h@?|?_L _it|@ uLh4@ ^i LULhh@ |?i*@4i?|L
"@?_L UL4T@h@4Lt @t €}t Ee2 i Ee2c ?L|@4Lt ^i @ _uihi?U@ i?|hi i*@t ‚i 4|L
Ti^i?@c TLt L T@UL|i _i L?_@ it|‚@ i4 hittL?@?U@ i TLh|@?|L @ _T*@ M@hhih@ ‚i ^@ti
|h@?tT@hi?|i L4L _i4L?t|h@_L @?|ihLh4i?|ic @ TL*@h3@U@L _@ U@h}@ |h@?t4|_@ ?it|i
U@tL E4it4L T@h@ |rJ ' f ?@L ‚i |L|@*c _i_L @L u@|L _L " hii|h 4@ Ti^i?@ T@h|i _@
9
S.
7151 Uhvxowdgrv
spin p/cima
spin p/baixo
1.0
0.6
tso entre os
sitios 175-225
0.4
dt=10
nc=500
-4
T ( t so )
0.8
'
t =0.45
0.2
0.0
0.00
0.05
0.10
0.15
0.20
0.25
PUC-Rio - Certificação Digital Nº 0014233/CA
tso
Iljxud 7156= Frhflhqwh gh wudqvplvvdr gd fdujd hp ixqfdr gd lqwhudfdr vslq0ruelwd vhqgr txh r hihlwr
vslq0ruelwd hvwd oljdgr hqwuh rv vwlrv .D h 22D h | ' feD
U@h}@c UL?uLh4i @Thiti?|@_L ?@ €} Ee @t @_@?|i ?|hL_3hi4Lt 4 4iU@?t4L
^i @4i?|@h‚@ itt@ hii @L
#i 4@?ih@ @?‚@*L}@ @ @?|ihLhc @}Lh@ ?@ Thiti?U@ _i 4 "c @4i?|@4Lt @ hi}@L
i4 ^i @ ?|ih@U@L tT?‚LhM|@ @|@ ti}hc 4Lt|h@4Lt itti U@tL ?@ €} Ee2Dc L?_i
@ ?|ih@U@L tT?‚LhM|@ @}i i?|hi Lt t‚>|Lt Df i 2Dfc i @?@*t@4Lt @ _iTi?_i?U@ _L
ULi€Ui?|i _i |h@?t4tt@L _@ U@h}@ i4 u?U@L _i |rJ T@h@ L 4it4L i*i4i?|L _i 4@|h3
?L "c L ti@c | ' feD 6U@ i_i?|i ^i @ uhi^i?U@ UL4 ^i L ULi€Ui?|i _i
|h@?t4tt@L ‚i @*|ih@_L it|‚@ ?|4@4i?|i *}@_@ @L |@4@?L _@ hi}@L i4 ^i |rJ ?@L
‚i ?*Lc UL?uLh4i hit*|@_Lt ?@ @ti?U@ _L " "@?|L 4@t *}@ULit i t|hi4 i?|hi
Lt U@?@t _i tT? T@h@ U4@ i T@h@ M@ Lc 4@Lh tih‚@ @ |hLU@ _i U@h}@ i?|hi it|it L
i?|@?|Lc ti UL4T@h@h4Lt Lt _Lt U@tLtc UL4 i ti4 L "c ?L|@4Lt ^i ?@ Thiti?U@ _L "
L ULi€Ui?|i _i |h@?t4tt@L _iTi?_i?|i _L tT? ??U@ |ih‚@ @*Lh ?|‚@hL
#ii4Lt i?|@L @?@*t@h L|hL @tTiU|L _L ?LttL tt|i4@ _i UL?|hL*i _i |h@?t4tt@L
_iTi?_i?|i _L tT? L4L L tt|i4@ ti UL4TLh|@ ^@?_L @4i?|@4Lt @ ?|i?t_@_i
_L Ui?|hL itT@*@_Lhq @h@ hitTL?_ih it|@ ^it|@Lc UL?t_ih@hi4Lt ^i Lt i*i4i?|Lt _i
4@|h3 ^i *}@4 L " @Lt UL?|@|Lt t@L Ti^i?Ltc ^@?_L UL4T@h@_Lt @
^i*it i4 ^i
LULhhi L 4i*Lh |?i*@4i?|L AL4@4Lt UL4L i i4T*L L U@tL i4 ^i | ' f2 L4 ttLc
4@ T@h|i 4@Lh _@ U@h}@ ‚i hii|_@ ?L " ,‚ ?|ihitt@?|i ?L|@h ^i ?it|i U@tLc UL4L
SH
Fdswxor 71 Ihqarphqrv Whpsrudlv
spin p/cima
spin p/baixo
1.0
0.8
tso entre os
sitios 150-250
0.6
-4
dt=10
nc=500
T ( t so )
PUC-Rio - Certificação Digital Nº 0014233/CA
Iljxud 7157= Prghor gh vwlrv frp lqwhudfdr vslq0ruelwd hqwuh rv vwlrv 483 h 5831
0.4
'
t =0.45
0.2
0.0
0.00
0.05
0.10
0.15
0.20
0.25
tso
Iljxud 7158= Frhflhqwh gh wudqvplvvdr gd fdujd hp ixqfdr gd lqwhudfdr vslq0ruelwd vhqgr txh r hihlwr
vslq0ruelwd hvwd oljdgr hqwuh rv vwlrv Df h 2Df h | ' feD
Sb
7151 Uhvxowdgrv
spin p/cima
spin p/baixo
1.0
T ( t so )
0.8
0.6
tso entre os
sitios 175-225
0.4
dt=10
nc=500
-4
'
t =0.2
0.2
0.0
0.00
0.05
0.10
0.15
0.20
0.25
PUC-Rio - Certificação Digital Nº 0014233/CA
tso
Iljxud 7159= Frhflhqwh gh wudqvplvvdr gd fdujd hp ixqfdr gd lqwhudfdr vslq0ruelwd vhqgr txh r hihlwr
vslq0ruelwd hvwd oljdgr hqwuh rv vwlrv .D h 22D h | ' f2
TL_i tih t|L ?@ €} Ee2Sc @ 4i__@ i4 ^i @ ?|ih@U@L tT?‚LhM|@ @4i?|@c LULhhi
|@4M‚i4 4 @4i?|L ?@t @*|h@t _Lt TULt _@t TL*@h3@ULit Wt|L ti _ii @L u@|L _i ^ic
T@h@ |rJ 4@t @*|Ltc LULhhi 4@ hi_U@L ?@ hii @L ThL_3_@ Ti*L "c L ti@c L i*‚i|hL?
|i4 4@t u@U*_@_i T@h@ 4_@h _i U@?@* _L ^i Tih4@?iUih ?L 4it4L U@?@* i i?Uih @
M@hhih@ U@t@_@ Ti*L "
#i 4@?ih@ @?‚@*L}@ @t @?|ihLhitc @Thiti?|@4Lt L ULi€Ui?|i _i |h@?t4tt@L ^@?_L
|rJ ' f2 i?|hi Lt t‚>|Lt Df i 2Df _@ U@_i@c €} Ee2. L4L ih@ _i ti itTih@hc @
uhi^i?U@ _@t LtU*@ULit _L ULi€Ui?|i _i |h@?t4tt@L _iTi?_i?|i _L tT? @4i?|@4c
UL4L ?Lt U@tLt @?@*t@_Lt @U4@
L?uLh4i UL4i?|@_L @?|ihLh4i?|ic L UL?€?@4i?|L u@3 UL4 ^i L i*‚i|hL?
Tih4@?iU@ 4@t |i4TL ?L " @h@ UL4ThL@h itti ui?L4i?Lc €3i4Lt 4 it|_L _@
U@h}@ _L " i4 u?U@L _L |i4TLc 4Lt|h@_L ?@ €} Ee2Hc UL?t_ih@?_L @ ?|ih@U@L
tT?‚LhM|@ ?*@ 4i__@ ^i L UL?€?@4i?|L @4i?|@c L ti@c | _4?c €U@ U*@hL
L @4i?|L _L |i4TL _i Tih4@?i?U@ _@ U@h}@ ?L " *‚i4 _ttLc TL_i4Lt ?L|@h ^i @
_i?t_@_i _i U@h}@ €U@ 4i?Lhc _i_L @L u@|L _i @ih 4@t hii @Lc TLt @ 4@Lh T@h|i
_L T@UL|i it|‚@ uLh@ _i hittL?@?U@
.f
Fdswxor 71 Ihqarphqrv Whpsrudlv
spin p/cima
spin p/baixo
1.0
0.8
tso entre os
sitios 150-250
T ( t so )
0.6
-4
dt=10
nc=500
0.4
'
t =0.2
0.2
0.0
0.00
0.05
0.10
0.15
0.20
0.25
Iljxud 715:= Frhflhqwh gh wudqvplvvdr gd fdujd hp ixqfdr gd lqwhudfdr vslq0ruelwd vhqgr txh r hihlwr
vslq0ruelwd hvwd oljdgr hqwuh rv vwlrv Df h 2Df h | ' f2
0.40
'
0.35
Carga no PQ
inicialmente
descarregado
0=0
t =0.2
0.30
0.25
carga
PUC-Rio - Certificação Digital Nº 0014233/CA
tso
0.20
'
t =0.1
0.15
'
t =0.05
0.10
0.05
0.00
0.00
0.02
0.04
tempo (ps)
Iljxud 715;= Hyroxfdr whpsrudo gd fdujd qr srqwr txadqwlfr1
0.06
0.08
.
PUC-Rio - Certificação Digital Nº 0014233/CA
7151 Uhvxowdgrv
Iljxud 715<= Uhsuhvhqwdfdr gh xp sdfrwh gh rqgd hplwlgr shor odgr hvtxhugr gr vlvwhpd h gh xpd gxsod
eduuhlud frp grlv hvwdgrv orfdol}dgrv jhudgrv shod lqwhudfdr Frxorpeldqd1
e22 hLUittL _i *i|h@ UL4 L
'f
9
L4 L ?||L _i Uh@h 4 4iU@?t4L _i *i|h@ ?L "c hi4Lt @}Lh@ TLT*‚@*Lc
?U@*4i?|ic UL4 4@ U@h}@ _i tT? T@h@ U4@ ?L it|@_L *LU@*3@_L UL4 i?ih}@ 0fc
UL?uLh4i €} Ee2bc ^i 4Lt|h@ @ t|@U@L ?L ?t|@?|i ?U@* ?@*t@4Lt @ iL*U@L
|i4TLh@* _i T@UL|it ?i|@_Lt ?L tt|i4@ Ti*@ it^ih_@ UL4 i?ih}@ 0f n L c t|L ‚ic
i4 hittL?@?U@ E€} Eefc UL4 _uihi?|it TL*@h3@ULit _i tT? ,tTih@4Lt UL4 ttL
ti*iUL?@h @ TL*@h3@U@L _@ L?_@ |h@t4|_@
L4L L " it|@h‚@ U@hhi}@_L UL4 tT? T@h@ U4@c @ U@h}@ UL4 tT? T@h@ M@ L ?@L
_iih‚@ tih hii|_@ TLh i*i Ei Ui|L 4@ Ti^i?@ T@h|ic UL?uLh4i 4Lt|h@_L ?@ €} Eec
t|L ^i ?@L ‚@ 4L|Lt T@h@ ttL LULhhihc ‚@ ^i |L_Lt Lt hi^t|Lt T@h@ L |?i*@4i?|L
it|@L Thii?U_Lt @tc i4 ti |h@|@?_L _@ U@h}@ UL4 tT? T@h@ U4@c ‚i itTih@_L ^i it|@
?@L UL?t}@ |?i*@h _i_L @L Th?U‚>TL _i i U*t@L _i @* E,
Nt@?_L it|i 4L_i*Lc TL_ihi4Lt _i|ih4?@h ^@* U@h}@ it|‚@ LUT@?_L L " Lc
@?@*t@?_L _i L|h@ uLh4@c TL*@h3@h @ ULhhi?|i _iti@_@ ?L tt|i4@c UL4 @ t4T*it
TLT*@U@L _i 4@ U@h}@ UL4 tT? _i€?_L ?L "c Uh@?_L _it|@ uLh4@ 4 Tihui|L tt|i4@
_i *i|h@ _i ?uLh4@U@L UL4 L tL _i @Ti?@t 4 "
h4ih@4i?|i it|_@4Lt 4 T@UL|i _i L?_@ TL*@h3@_L UL4 tT? T@h@ M@ L
.2
Fdswxor 71 Ihqarphqrv Whpsrudlv
PUC-Rio - Certificação Digital Nº 0014233/CA
Iljxud 7163= Gldjudpd gh uhvvrqadqfld hqwuh r sdfrwh gh rqgd h r ST txdqgr h dsolfdgr xp srwhqfldo gh
sruwd Yj1
?i|@_L ?U@*4i?|i UL4 i?ih}@ 0f n L i4 _hiU@L @L " L*LU@4Lt 0f @M@ L _@
M@?_@ _i UL?_U@L T@h@ ^i ?@L Litti Tih_@ _i U@h}@ Lt }h‚@€ULt ^i ti ti}i4c
@Thiti?|@4Lt Lt hit*|@_Lt @T‚Lt ef |ih@ULit ?L |i4TLc UL4 ?|ih@*L _i f3eRr T@h@
U@_@ |ih@U@L L Th4ihL U@tLc €} Eec |i4Lt L |?i*@4i?|L _@ U@h}@ UL4 tT? T@h@
M@ L @|h@‚it _L " T@h|h _it|i TL?|Lc @t *?@t |h@Ui@_@t hiThiti?|@4 @ u?U@L _i
L?_@ ?L ?t|@?|i ?U@* i @ UL?|‚>?@ ?L €?@*c L ti@c Lt }h‚@€ULt ^i ti}i4 t@L hiuihi?|it
@ 4 _i|ih4?@_L tT?c T@h@ U4@ L T@h@ M@ Lc i4 |i4TLt _uihi?|it
4 ti}?_L U@tLc 4@?_@4Lt @ U@h}@ UL4 tT? T@h@ U4@c UL4 i?ih}@ 0f n L c
^i ‚i hii|_@ _i_L @L ,c 4Lt|h@_L ?@ €} Ee2c UL?uLh4i itTih‚@@4Lt T@h@ ?LttL
4iU@?t4L _i *i|h@
*}?t UL4i?|‚@hLt t@L Tih|?i?|it i4 hi*@U@L @ €} Ee2 @*|h@ _L T@UL|i _i
L?_@ i4|_L Ti*L *@_L it^ih_L ?L ?t|@?|i ?U@* Tih4@?iUi @ 4it4@ @h@ UL4ThL@h
ttLc €3i4Lt 4@ @4T*@U@L i?|hi Lt t‚|Lt 2f i bf E €} Ee *‚i4 _ttLc ?L|@ti ^i
?L ?t|@?|i ?U@* hiThiti?|@_L Ti*@ *?@ |h@Ui@_@ ‚@ i t|i 4@ U@h}@ UL4 tT? T@h@
U4@ ?L "c UL4L TL_i tih t|L ?L t‚|L 2ff L4 L T@tt@h _L |i4TL it|@ U@h}@ itUL@
T@h@ @ U@_i@ @|h@‚it _Lt UL?|@|Lt itti ThLUittL _i *i|h@ i t|i4 _@t U@h}@t ?L
tt|i4@c 4@ ‚i L Th‚LThL T@UL|i i4|_L i @ L|h@ ‚i @ U@h}@ UL4 tT? T@h@ U4@ UL*LU@_@
Th‚i@4i?|i ?L "
ti}h @Thiti?|@4Lt 4@ t@L |h_4i?tL?@* _L tt|i4@ @U4@ @ €} Eee ‚i
4Lt|h@_@ @ iL*U@L |i4TLh@* _@ U@h}@ UL4 tT? T@h@ U4@c ti?_L 4 _Lt i Lt L |i4TL
L @*U@?U@h L " it|@ U@h}@ h‚@ tLuhih hii @L |L|@* _i_L @L ,c _it_i ^i 4@ U@h}@
UL4 4it4L tT? ‚@ i t|i ?L "
Lh L|hL *@_Lc ^@?_L @ U@h}@ ?U_i?|i ‚i _i tT? UL?|h‚@hL @L Thi@4i?|i i t|i?|i
.
7151 Uhvxowdgrv
0.030
U = 1.5
0= -2.5
Carga (spin p/baixo)
0.025
-4
dt = 10
nc =410
0.020
'
t =0.45
tso=0.0
0.015
0.010
0.005
0.000
0
100
200
300
400
Iljxud 7164= Hyroxfdr whpsrudo gd fdujd frp vslq sdud edl{r txdqgr r ST hvwd fduuhjdgr frp xpd fdujd
frp vslq sdud flpd1
1.0
Carga (spin p/cima)
PUC-Rio - Certificação Digital Nº 0014233/CA
x (sítios)
U = 1.5
0= -2.5
0.8
-4
dt = 10
nc =410
0.6
'
t =0.45
tso=0.0
0.4
0.2
0.0
0
100
200
300
400
x (sítios)
Iljxud 7165= Hyroxfdr whpsrudo gd fdujd frp vslq sdud flpd txdqgr r ST hvwd fduuhjdgr frp xpd fdujd
frp vslq sdud flpd1
.e
Fdswxor 71 Ihqarphqrv Whpsrudlv
0.030
U = 1.5
0= -2.5
Carga (spin p/cima)
0.025
-4
0.020
dt = 10
nc =410
0.015
t =0.45
tso=0.0
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0.010
0.005
0.000
20
40
60
80
100
120
140
160
180
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PUC-Rio - Certificação Digital Nº 0014233/CA
x (sítios)
0.08
0.06
0.04
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PUC-Rio - Certificação Digital Nº 0014233/CA
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Fdswxor 71 Ihqarphqrv Whpsrudlv
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U = 1.5
PQ carregado
com
spin p/cima
-4
dt = 10
nc =500
'
t =0.45
0.0030
spin p/baixo
0.0025
0.0020
0.0015
spin p/cima
0.0010
0.0005
0.0000
-3.0
-2.5
-2.0
-1.5
PUC-Rio - Certificação Digital Nº 0014233/CA
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7151 Uhvxowdgrv
-0.50
U=1.5
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PQ carregado com spin
p/cima
-0.55
Polarização
-5
-0.60
dt=10
nc=5000
-0.65
t =0.45
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-0.70
-0.75
-0.80
-0.85
-0.90
0.0
0.1
0.2
0.3
0.4
PUC-Rio - Certificação Digital Nº 0014233/CA
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PUC-Rio - Certificação Digital Nº 0014233/CA
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