|
|
φ |
|
dziesietne |
φ[rad] |
g[m/s2] |
∆h |
H |
|
licznik |
mianownik |
γ0 |
|
(sinφ)^2 |
Hn/a |
(Hn/a)^2 |
2*f*(sin(fi)^2 |
γ~ |
|
|
|
|
|
|
Lisy |
47 |
21 |
46 |
47,3627777777778 |
0,826636415112625 |
9,80622691 |
|
859,1712 |
|
62445482,778531 |
6366572,70714654 |
9,8083357641 |
|
0,541191514614916 |
0,000134705667188 |
1,81456167725022E-08 |
0,003629025381532 |
9,8070105107 |
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534,194 |
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|
A |
47 |
32 |
2 |
47,5338888888889 |
0,82962286738826 |
9,80493322 |
|
1393,3652 |
|
62445841,3603782 |
6366509,06695242 |
9,8084901323 |
|
0,544167062704644 |
0,000218459590943 |
4,77245928750916E-08 |
0,003648978280367 |
9,8063410842 |
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|
-544,2178 |
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B |
47 |
37 |
14 |
47,6205555555556 |
0,831135486073322 |
9,80635693 |
|
849,1474 |
|
62446022,9081142 |
6366476,84607946 |
9,8085682895 |
|
0,545673564005017 |
0,000133134079748 |
1,77246831902771E-08 |
0,00365908030767 |
9,8072585036 |
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|
-210,6284 |
|
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|
C |
47 |
39 |
40 |
47,6611111111111 |
0,831843314047742 |
9,80692754 |
|
638,519 |
|
62446107,8459442 |
6366461,77135997 |
9,8086048560 |
|
0,54637838662717 |
0,00010011058088 |
1,00221284040613E-08 |
0,003663806581301 |
9,8076199270 |
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|
-146,4818 |
|
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|
D |
47 |
42 |
31 |
47,7086111111111 |
0,832672345442439 |
9,80738875 |
|
492,0372 |
|
62446207,3136688 |
6366444,11783737 |
9,8086476780 |
|
0,547203779770166 |
7,71443448141675E-05 |
5,95124993680718E-09 |
0,003669341355194 |
9,8078886838 |
|
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|
-87,9564 |
|
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E |
47 |
46 |
16 |
47,7711111111111 |
0,833763176224936 |
9,80773676 |
|
404,0808 |
|
62446338,1683837 |
6366420,89368007 |
9,8087040130 |
|
0,548289625303016 |
6,33540483686694E-05 |
4,0137354446997E-09 |
0,003676622624195 |
9,8080806887 |
|
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-54,6358 |
|
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F |
47 |
54 |
7 |
47,9019444444444 |
0,836046648662962 |
9,80804397 |
|
349,445 |
|
62446612,0005077 |
6366372,29354976 |
9,8088219038 |
|
0,550561911699569 |
5,47879419962287E-05 |
3,00171858818212E-09 |
0,003691859716397 |
9,8082828563 |
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10,707 |
|
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|
Raj |
47 |
56 |
19 |
47,9386111111111 |
0,836686602722026 |
9,80803228 |
|
360,152 |
|
62446688,7207153 |
6366358,67706732 |
9,8088549339 |
|
0,551198543668306 |
5,64666453542782E-05 |
3,18848203756583E-09 |
0,003696128729326 |
9,8082993715 |
|
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|
569,1712 |
|
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|
G |
48 |
19 |
0 |
48,3166666666667 |
0,843284916921927 |
9,80674919 |
|
929,3232 |
|
62447479,1404644 |
6366218,38982019 |
9,8091952422 |
|
0,55775752592894 |
0,000145704490198 |
2,12297984639504E-08 |
0,003740110780889 |
9,8077618297 |
|
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|
-601,5261 |
|
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H |
48 |
34 |
48 |
48,58 |
0,847880950618845 |
9,8087188 |
|
327,7971 |
|
62448028,9967147 |
6366120,79703999 |
9,8094319897 |
|
0,562320288176902 |
5,13938631296255E-05 |
2,64132916738667E-09 |
0,00377070693689 |
9,8089263425 |
|
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|
-32,7951 |
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|
Ruta |
48 |
32 |
4 |
48,5344444444444 |
0,847085856181825 |
9,80871293 |
|
295,002 |
|
62447933,9179976 |
6366137,67246 |
9,8093910517 |
|
0,561531315457008 |
4,62520638863668E-05 |
2,13925341374856E-09 |
0,003765416384565 |
9,8089359901 |
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Dodatkowe dane |
|
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|
a) liczba geopotencjalna stacji Lisy |
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|
Hn |
859,1712 |
|
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|
C=Hn*γ~ |
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a |
6378137 |
a^2 |
40680631590769 |
|
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C= |
8425,90098886089 |
|
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b |
6356752,3141 |
b^2 |
40408299982815,7 |
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f |
0,003352810681182 |
m |
0,003449786003056 |
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GM |
398600500000000 |
2*f |
0,006705621362365 |
|
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|
b) wysokość dynamiczna Hdyn oraz wysokość ortometryczna Hort (w 3 iteracjach) |
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omega |
7,292115E-05 |
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Gamma e |
9,7803267715 |
|
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Hdyn=C/γ0(45) |
|
|
|
45[rad]= |
0,785398163397448 |
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Gamma p |
9,8321863865 |
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Hdyn= |
859,242282065468 |
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γ0(45) |
licznik |
mianownik |
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|
9,8061992115 |
62440518,8092205 |
6367453,63444386 |
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Hotr=C/g~ |
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g~=g+0,0424*H*10^-5 |
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1 itercja |
|
g0= |
9,80622691 |
|
Hort1 |
859,20793396363 |
|
ocena |
-0,034348101837964 |
|
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H0=(Hdyn) |
859,242282065468 |
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g~= |
9,8065912287276 |
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2 itercja |
|
g0= |
9,80622691 |
|
Hort2 |
859,207935239624 |
|
ocena |
-0,034346825843272 |
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H0=(Hort1) |
859,20793396363 |
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g~= |
9,806591214164 |
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3 itercja |
|
g0= |
9,80622691 |
|
Hort3 |
859,207935239577 |
|
ocena |
-0,034346825890793 |
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H0=(Hort2) |
859,207935239624 |
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g~= |
9,80659121416454 |
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c) przybliżone wysokości ortometryczne Hort oraz dynamiczne Hdyn oraz normalne Hn dla wszystkich stacji linii niwelacyjnej |
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Hn |
|
C |
Hdyn |
|
g~ |
Hort1 |
g~ |
Hort2 |
g~ |
Hort |
|
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|
Lisy |
859,1712 |
|
8425,90098886089 |
859,242282065468 |
|
9,8065912287276 |
859,20793396363 |
9,806591214164 |
859,207935239624 |
9,80659121416454 |
859,207935239577 |
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A |
1393,3652 |
|
13663,8144060784 |
1393,38535873123 |
|
9,8055240153921 |
1393,48130549981 |
9,80552405607353 |
1393,4812997185 |
9,80552405607108 |
1393,48129971885 |
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0 |
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B |
849,1474 |
|
8327,80805949163 |
849,239127198451 |
|
9,80671700738993 |
849,194287264142 |
9,8067169883778 |
849,194288910462 |
9,8067169883785 |
849,194288910402 |
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0 |
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C |
638,519 |
|
6262,35166818679 |
638,61150820344 |
|
9,80719831127948 |
638,546450211405 |
9,80719828369489 |
638,546452007437 |
9,80719828369565 |
638,546452007387 |
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0 |
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D |
492,0372 |
|
4825,84608589749 |
492,121971196322 |
|
9,80759740971579 |
492,051812925846 |
9,80759737996868 |
492,051814418273 |
9,80759737996931 |
492,051814418241 |
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0 |
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E |
404,0808 |
|
3963,25709116658 |
404,158329409292 |
|
9,80790812313167 |
404,087909614422 |
9,80790809327368 |
404,087910844577 |
9,8079080932742 |
404,087910844556 |
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0 |
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F |
349,445 |
|
3427,45540272636 |
349,519250915665 |
|
9,80819216616239 |
349,448231097149 |
9,80819213604999 |
349,44823217 |
9,80819213605044 |
349,448232169984 |
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0 |
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|
Raj |
360,152 |
|
3532,47863523821 |
360,229132516774 |
|
9,80818501715219 |
360,15619903792 |
9,80818498622839 |
360,156200173441 |
9,80818498622888 |
360,156200173423 |
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0 |
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G |
929,3232 |
|
9114,580608371 |
929,471287683043 |
|
9,80714328582598 |
929,381813105972 |
9,80714324788876 |
929,381816701123 |
9,80714324789028 |
929,381816700978 |
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0 |
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H |
327,7971 |
|
3215,33760917986 |
327,888261276155 |
|
9,80885782462278 |
327,799389762642 |
9,80885778694126 |
327,79939102191 |
9,80885778694179 |
327,799391021892 |
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0 |
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|
Ruta |
295,002 |
|
2893,65573495189 |
295,084331099887 |
|
9,80883804575639 |
295,004945688117 |
9,80883801209697 |
295,004946700438 |
9,8088380120974 |
295,004946700425 |
|
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|
|
d) poprawki |
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|
dynamiczna |
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|
|
normalna |
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|
ortometryczna |
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|
gAB |
DC |
|
I |
II |
III |
NC |
|
I |
II |
III |
OC |
|
|
|
|
|
|
|
|
|
|
|
|
Lisy |
|
|
|
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|
|
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|
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|
|
|
|
|
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|
|
|
9,805580065 |
-0,033728086462937 |
|
-0,033728086462937 |
0,071082065467653 |
0,020158731232066 |
0,017195247772651 |
|
-0,033728086462937 |
0,002426912551742 |
-0,17990002194581 |
0,148598848034615 |
|
|
|
|
|
|
|
|
|
|
|
|
A |
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
9,805645075 |
0,030753090946319 |
|
0,030753090946319 |
0,020158731232066 |
0,091727198450723 |
-0,040815376272339 |
|
0,030753090946319 |
-0,17990002194581 |
0,013658060919089 |
-0,162804991918581 |
|
|
|
|
|
|
|
|
|
|
|
|
B |
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
9,806642235 |
-0,009515749487849 |
|
-0,009515749487849 |
0,091727198450723 |
0,092508203439918 |
-0,010296754477044 |
|
-0,009515749487849 |
0,013658060919089 |
0,047426284347659 |
-0,043283972916418 |
|
|
|
|
|
|
|
|
|
|
|
|
C |
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
9,807158145 |
-0,014324235620941 |
|
-0,014324235620941 |
0,092508203439918 |
0,084771196321922 |
-0,006587228502945 |
|
-0,014324235620941 |
0,047426284347659 |
0,059688221127615 |
-0,026586172400898 |
|
|
|
|
|
|
|
|
|
|
|
|
D |
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
9,807562755 |
-0,012230261353334 |
|
-0,012230261353334 |
0,084771196321922 |
0,077529409292078 |
-0,00498847432349 |
|
-0,012230261353334 |
0,059688221127615 |
0,063358367065867 |
-0,015900407291585 |
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
9,807890365 |
-0,009422358599992 |
|
-0,009422358599992 |
0,077529409292078 |
0,074250915664643 |
-0,006143864972557 |
|
-0,009422358599992 |
0,063358367065867 |
0,065738783151335 |
-0,01180277468546 |
|
|
|
|
|
|
|
|
|
|
|
|
F |
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
9,808038125 |
0,002007836739923 |
|
0,002007836739923 |
0,074250915664643 |
0,077132516774139 |
-0,000873764369573 |
|
0,002007836739923 |
0,065738783151335 |
0,067323840612283 |
0,000422779278975 |
|
|
|
|
|
|
|
|
|
|
|
|
Raj |
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
9,807390735 |
0,069158382053123 |
|
0,069158382053123 |
0,077132516774139 |
0,148087683043207 |
-0,001796784215946 |
|
0,069158382053123 |
0,067323840612283 |
0,052124174187711 |
0,084358048477695 |
|
|
|
|
|
|
|
|
|
|
|
|
G |
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
9,807733995 |
-0,094145787278119 |
|
-0,094145787278119 |
0,148087683043207 |
0,091161276154835 |
-0,037219380389747 |
|
-0,094145787278119 |
0,052124174187711 |
0,084224230467208 |
-0,126245843557616 |
|
|
|
|
|
|
|
|
|
|
|
|
H |
|
|
|
|
|
|
|
|
|
|
|
0 |
|
|
|
|
|
|
|
|
|
|
|
|
|
9,808715865 |
-0,008416502873863 |
|
-0,008416502873863 |
0,091161276154835 |
0,082331099887179 |
0,000413673393793 |
|
-0,008416502873863 |
0,084224230467208 |
0,075621490237176 |
0,000186237356168 |
|
|
|
|
|
|
|
|
|
|
|
|
Ruta |
|
|
|
|
|
|
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|
|
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|
|
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|
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|
|
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|
|
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|
|
|
|
|
|
|
|
|
|
|
|
[(g(AB)-γ0(45))/γ0(45)]*∆h |
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
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|
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|
|
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|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
STACJA |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Lisy |
|
859,1712 |
|
859,242282065468 |
|
859,207935239577 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
534,211195247773 |
|
534,160271913537 |
|
534,342598848035 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
A |
|
1393,38239524777 |
|
1393,402553979 |
|
1393,55053408761 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-544,258615376272 |
|
-544,187046909054 |
|
-544,380604991919 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
B |
|
849,1237798715 |
|
849,215507069951 |
|
849,169929095693 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-210,638696754477 |
|
-210,637915749488 |
|
-210,671683972916 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
C |
|
638,485083117023 |
|
638,577591320463 |
|
638,498245122776 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-146,488387228503 |
|
-146,496124235621 |
|
-146,508386172401 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
D |
|
491,99669588852 |
|
492,081467084842 |
|
491,989858950375 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-87,9613884743235 |
|
-87,9686302613533 |
|
-87,9723004072916 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
E |
|
404,035307414197 |
|
404,112836823489 |
|
404,017558543084 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-54,6419438649726 |
|
-54,6452223586 |
|
-54,6476027746855 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
F |
|
349,393363549224 |
|
349,467614464889 |
|
349,369955768398 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
10,7061262356304 |
|
10,7090078367399 |
|
10,707422779279 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Raj |
|
360,099489784855 |
|
360,176622301629 |
|
360,077378547677 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
569,169403215784 |
|
569,240358382053 |
|
569,255558048478 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
G |
|
929,268893000639 |
|
929,416980683682 |
|
929,332936596155 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-601,56331938039 |
|
-601,620245787278 |
|
-601,652345843558 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
H |
|
327,705573620249 |
|
327,796734896404 |
|
327,680590752597 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
-32,7946863266062 |
|
-32,8035165028739 |
|
-32,7949137626438 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ruty |
|
294,910887293643 |
|
294,99321839353 |
|
294,885676989954 |
|
|
|
|