Partially Full Flow Pipe and Sewer Solver

Data EntrySolve For Sewer SizeFlow (m3/s) 2

Sewer Slope (%) 1.3Partial Full % 80%

4000.01325

No. of num digits 4Slope Increment(%) 0.005

Selection of Pipe Diameter4.4286

253.74011.21680.85761.13980.97752.046

D (mm) 897.0369D_commercial 900

Af (m2) 0.6362Vf (m/s)So_req (%) 1.3

So_adopted (%) 1.3Qfull (m3/s) 2.0642Vf (m/s) 3.2446

Adj. Manning n 0.013

Manning n (nfull)DD

q (rad)q (degree)

Rp/Rf

Ap/Af

Vp/Vf

Qp/Qf

Qfull (m3/s)

n/nfull Constant

n/nfull Varied

D

x/r-1

-0.99-0.98-0.97-0.96-0.95-0.94-0.93-0.92-0.91-0.9-0.89-0.88-0.87-0.86-0.85-0.84-0.83-0.82-0.81-0.8

-0.79-0.78-0.77-0.76-0.75-0.74-0.73-0.72-0.71-0.7-0.69-0.68-0.67-0.66-0.65-0.64-0.63-0.62-0.61-0.6-0.59-0.58-0.57-0.56-0.55-0.54-0.53-0.52-0.51-0.5-0.49-0.48-0.47-0.46-0.45-0.44-0.43-0.42-0.41-0.4-0.39-0.38-0.37-0.36-0.35-0.34-0.33-0.32

-0.31-0.3-0.29-0.28-0.27-0.26-0.25-0.24-0.23-0.22-0.21-0.2-0.19-0.18-0.17-0.16-0.15-0.14-0.13-0.12-0.11-0.1-0.09-0.08-0.07-0.06-0.05-0.04-0.03-0.02-0.01

7.52869988574E-160.0100000000000010.0200000000000010.0300000000000010.0400000000000010.0500000000000010.0600000000000010.0700000000000010.0800000000000010.0900000000000010.1000000000000010.1100000000000010.1200000000000010.1300000000000010.1400000000000010.1500000000000010.160000000000001

0.1700000000000010.1800000000000010.1900000000000010.2000000000000010.2100000000000010.2200000000000010.2300000000000010.2400000000000010.2500000000000010.2600000000000010.2700000000000010.2800000000000010.2900000000000010.3000000000000010.3100000000000010.3200000000000010.3300000000000010.3400000000000010.3500000000000010.3600000000000010.3700000000000010.3800000000000010.3900000000000010.4000000000000010.4100000000000010.4200000000000010.4300000000000010.4400000000000010.4500000000000010.4600000000000010.4700000000000010.4800000000000010.4900000000000010.5000000000000010.5100000000000010.5200000000000010.5300000000000010.5400000000000010.5500000000000010.5600000000000010.5700000000000010.5800000000000010.5900000000000010.6000000000000010.6100000000000010.6200000000000010.6300000000000010.640000000000001

0.6500000000000010.6600000000000010.6700000000000010.6800000000000010.6900000000000010.7000000000000010.7100000000000010.7200000000000010.7300000000000010.7400000000000010.7500000000000010.7600000000000010.7700000000000010.7800000000000010.7900000000000010.8000000000000010.8100000000000010.8200000000000010.8300000000000010.8400000000000010.8500000000000010.8600000000000010.8700000000000010.8800000000000010.8900000000000010.9000000000000010.9100000000000010.9200000000000010.9300000000000010.9400000000000010.9500000000000010.9600000000000010.9700000000000010.9800000000000010.990000000000001

1

Solve forSewer SizeWater DepthSewer Slope

1 22 Flow (m3/s) Flow (m3/s)3 Sewer Slope (%) Sewer Slope (%)4 Partial Full %5 Sewer Size (mm)

1 2-0.6

4.4286253.74011.21680.85761.13980.97752.046

D (mm) 897.0369D_commercial 900 400

Af (m2) 0.6362 0.1257Vf (m/s)

So_req (%) 1.3 1.3So_adopted (%) 1.3 1.3Qfull (m3/s) 2.0642 0.2375

Vf (m/s) 3.2446 1.8894n 0.013 #DIV/0!

Qp/Qf 0.9689 8.4211

cos(q/2)q (rad)

q (degree)Rp/Rf

Ap/Af

Vp/Vf

Qp/Qf

Qfull (m3/s)

d/D 0.793 #DIV/0!Vp/Vf 1.139 #DIV/0!

4.3936 #DIV/0!251.7357 #DIV/0!

y (mm) 713.7 #DIV/0!Vp (m/s) 3.6956 #DIV/0!

1.2161 #DIV/0!Rp (mm) 1094.49 #DIV/0!

Rn 4.04E+06 #DIV/0!Turbulence Turbulent Flow #DIV/0!

Perimeter (mm) 1977.12 #DIV/0!T (mm) 729.3379 #DIV/0!Ap (m2) 0.541 #DIV/0!

741.7687 #DIV/0!Froude No. 1.37 #DIV/0!Flow Type super-critical #DIV/0!

n Indicatorn/nfull = Constant 0n/nfull = Varied 1

Q/Qfull

q (rad)q (degree)

Rp/Rf

Dhyd (mm)

Data Entry Graphs

900

mm

Temprature 301.00E-06

mm 0.025Selection of Pipe Diameter

Qp/Qf 0.9689y/D 0.793Vp/Vf 1.139

4.3936251.7357 Resultsy (mm) 713.7

Vp (m/s) 3.6956 Sewer Diameter (mm)1.2161 Flow Depth (mm)

Rp (mm) 1094.49 y/DRn 4044797.244 Flow Velocity (m/s)

Turbulence Turbulent Flow Sewer Long. Slope (%)Perimeter (mm) 1977.12

T (mm) 729.3379 Manning n (Adjusted)Ap (m2) 0.541

741.7687Froude No. 1.37Flow Type super-critical

Partially Full Flow Sewer Solver

n (m2/s)

q (rad)q (degree)

Rp/Rf

Flow Area (m2)

Dhyd (mm)

n/nfull Constant

n/nfull Varied

Manning n

-0.810375464682750.810375464682753

0.01 y/D 0.793y/r 0.586

y/r y/r0 0 #N/A

0.141067359796659 -0.14106735979666 #N/A0.198997487421324 -0.19899748742133 #N/A0.243104915622864 -0.24310491562287 #N/A

0.28 -0.28 #N/A0.31224989991992 -0.31224989991992 #N/A0.34117444218464 -0.34117444218464 #N/A0.367559518989782 -0.36755951898978 #N/A0.391918358845309 -0.39191835884531 #N/A0.414608248832558 -0.41460824883256 #N/A0.435889894354068 -0.43588989435407 #N/A0.45596052460712 -0.45596052460712 #N/A0.474973683481517 -0.47497368348152 #N/A0.493051721424842 -0.49305172142484 #N/A0.510294032886923 -0.51029403288692 #N/A0.526782687642637 -0.52678268764264 #N/A0.542586398650022 -0.54258639865002 #N/A0.557763390695374 -0.55776339069537 #N/A0.572363520850168 -0.57236352085017 #N/A0.58642987645583 -0.58642987645583 0.586

0.6 -0.6 0.586

0.613106842238774 -0.61310684223877 0.5860.625779513886481 -0.62577951388648 0.5860.638043885637971 -0.63804388563797 0.5860.649923072370877 -0.64992307237088 0.5860.661437827766148 -0.66143782776615 0.5860.67260686883201 -0.67260686883201 0.5860.683447144993671 -0.68344714499367 0.5860.693974062915899 -0.6939740629159 0.5860.70420167565833 -0.70420167565833 0.5860.714142842854285 -0.71414284285429 0.5860.723809367167903 -0.7238093671679 0.5860.733212111192935 -0.73321211119294 0.5860.742361098118699 -0.7423610981187 0.5860.751265598839718 -0.75126559883972 0.5860.759934207678533 -0.75993420767853 0.5860.768374908491942 -0.76837490849194 0.5860.776595132614157 -0.77659513261416 0.5860.784601809837322 -0.78460180983732 0.5860.792401413426301 -0.7924014134263 0.586

0.8 -0.8 0.5860.807403244977378 -0.80740324497738 0.5860.814616474176652 -0.81461647417665 0.5860.821644692065859 -0.82164469206586 0.5860.828492607088319 -0.82849260708832 0.5860.835164654424504 -0.8351646544245 0.5860.841665016500033 -0.84166501650003 0.5860.847997641506155 -0.84799764150616 0.5860.854166260162505 -0.85416626016251 0.5860.860174400921116 -0.86017440092112 0.5860.866025403784439 -0.86602540378444 0.5860.871722432887901 -0.8717224328879 0.5860.877268487978453 -0.87726848797845 0.5860.882666414904295 -0.8826664149043 0.5860.887918915216925 -0.88791891521693 0.5860.893028554974588 -0.89302855497459 0.5860.897997772825746 -0.89799777282575 0.5860.902828887442133 -0.90282888744213 0.5860.907524104363074 -0.90752410436308 0.5860.912085522305886 -0.91208552230589 0.5860.916515138991168 -0.91651513899117 0.5860.920814856526544 -0.92081485652655 0.5860.924986486387774 -0.92498648638778 0.5860.929031754032122 -0.92903175403212 0.5860.932952303175248 -0.93295230317525 0.5860.93674969975976 -0.93674969975976 0.5860.9404254356407 -0.9404254356407 0.5860.943980932010811 -0.94398093201081 0.5860.947417542586161 -0.94741754258616 0.586

0.950736556570747 -0.95073655657075 0.5860.953939201416946 -0.95393920141695 0.5860.957026645397086 -0.95702664539709 0.586

0.96 -0.96 0.5860.962860322165162 -0.96286032216516 0.5860.965608616365865 -0.96560861636587 0.5860.968245836551854 -0.96824583655186 0.5860.970772887960928 -0.97077288796093 0.5860.973190628808149 -0.97319062880815 0.5860.975499871860576 -0.97549987186058 0.5860.977701385904715 -0.97770138590472 0.5860.979795897113271 -0.97979589711327 0.5860.981784090317214 -0.98178409031722 0.5860.983666610188635 -0.98366661018864 0.5860.985444062339411 -0.98544406233941 0.5860.987117014340245 -0.98711701434025 0.5860.98868599666426 -0.98868599666426 0.5860.990151503558925 -0.99015150355893 0.5860.99151399384981 -0.99151399384981 0.5860.992773891679268 -0.99277389167927 0.5860.993931587182941 -0.99393158718294 0.5860.99498743710662 -0.99498743710662 0.5860.995941765365827 -0.99594176536583 0.5860.996794863550169 -0.99679486355017 0.5860.997546991374341 -0.99754699137434 0.5860.998198377077422 -0.99819837707742 0.5860.998749217771909 -0.99874921777191 0.5860.999199679743744 -0.99919967974374 0.5860.999549898704412 -0.99954989870441 0.5860.999799979995999 -0.999799979996 0.5860.999949998749938 -0.99994999874994 0.586

1 -1 0.5860.999949998749938 -0.99994999874994 0.5860.999799979995999 -0.999799979996 0.5860.999549898704412 -0.99954989870441 0.5860.999199679743744 -0.99919967974374 0.5860.998749217771909 -0.99874921777191 0.5860.998198377077422 -0.99819837707742 0.5860.997546991374341 -0.99754699137434 0.5860.996794863550169 -0.99679486355017 0.5860.995941765365827 -0.99594176536583 0.5860.99498743710662 -0.99498743710662 0.5860.993931587182941 -0.99393158718294 0.5860.992773891679268 -0.99277389167927 0.5860.991513993849809 -0.99151399384981 0.5860.990151503558925 -0.99015150355893 0.5860.988685996664259 -0.98868599666426 0.5860.987117014340245 -0.98711701434025 0.586

0.98544406233941 -0.98544406233941 0.5860.983666610188635 -0.98366661018864 0.5860.981784090317214 -0.98178409031721 0.5860.979795897113271 -0.97979589711327 0.5860.977701385904715 -0.97770138590472 0.5860.975499871860576 -0.97549987186058 0.5860.973190628808148 -0.97319062880815 0.5860.970772887960928 -0.97077288796093 0.5860.968245836551854 -0.96824583655185 0.5860.965608616365865 -0.96560861636587 0.5860.962860322165162 -0.96286032216516 0.586

0.96 -0.96 0.5860.957026645397086 -0.95702664539709 0.5860.953939201416945 -0.95393920141695 0.5860.950736556570746 -0.95073655657075 0.5860.947417542586161 -0.94741754258616 0.5860.943980932010811 -0.94398093201081 0.5860.940425435640699 -0.9404254356407 0.5860.936749699759759 -0.93674969975976 0.5860.932952303175248 -0.93295230317525 0.5860.929031754032121 -0.92903175403212 0.5860.924986486387774 -0.92498648638777 0.5860.920814856526544 -0.92081485652654 0.5860.916515138991167 -0.91651513899117 0.5860.912085522305885 -0.91208552230589 0.5860.907524104363074 -0.90752410436307 0.5860.902828887442133 -0.90282888744213 0.5860.897997772825745 -0.89799777282575 0.5860.893028554974587 -0.89302855497459 0.5860.887918915216924 -0.88791891521692 0.5860.882666414904294 -0.88266641490429 0.5860.877268487978452 -0.87726848797845 0.5860.8717224328879 -0.8717224328879 0.5860.866025403784438 -0.86602540378444 0.5860.860174400921115 -0.86017440092112 0.5860.854166260162504 -0.85416626016251 0.5860.847997641506153 -0.84799764150615 0.5860.841665016500032 -0.84166501650003 0.5860.835164654424503 -0.8351646544245 0.5860.828492607088318 -0.82849260708832 0.5860.821644692065858 -0.82164469206586 0.5860.814616474176651 -0.81461647417665 0.5860.807403244977377 -0.80740324497738 0.5860.799999999999999 -0.8 0.5860.7924014134263 -0.7924014134263 0.5860.78460180983732 -0.78460180983732 0.5860.776595132614156 -0.77659513261416 0.5860.768374908491941 -0.76837490849194 0.586

0.759934207678532 -0.75993420767853 0.5860.751265598839717 -0.75126559883972 0.5860.742361098118698 -0.7423610981187 0.5860.733212111192933 -0.73321211119293 0.5860.723809367167902 -0.7238093671679 0.5860.714142842854284 -0.71414284285428 0.5860.704201675658329 -0.70420167565833 0.5860.693974062915898 -0.6939740629159 0.5860.68344714499367 -0.68344714499367 0.5860.672606868832008 -0.67260686883201 0.5860.661437827766146 -0.66143782776615 0.5860.649923072370875 -0.64992307237088 0.5860.638043885637969 -0.63804388563797 0.5860.625779513886479 -0.62577951388648 0.5860.613106842238772 -0.61310684223877 0.5860.599999999999998 -0.6 0.5860.586429876455828 -0.58642987645583 0.5860.572363520850166 -0.57236352085017 #N/A0.557763390695372 -0.55776339069537 #N/A0.542586398650019 -0.54258639865002 #N/A0.526782687642635 -0.52678268764264 #N/A0.510294032886921 -0.51029403288692 #N/A0.49305172142484 -0.49305172142484 #N/A0.474973683481514 -0.47497368348152 #N/A0.455960524607117 -0.45596052460712 #N/A0.435889894354065 -0.43588989435407 #N/A0.414608248832555 -0.41460824883256 #N/A0.391918358845305 -0.39191835884531 #N/A0.367559518989779 -0.36755951898978 #N/A0.341174442184636 -0.34117444218464 #N/A0.312249899919916 -0.31224989991992 #N/A0.279999999999995 -0.28 #N/A0.243104915622859 -0.24310491562286 #N/A0.198997487421317 -0.19899748742132 #N/A0.141067359796649 -0.14106735979665 #N/A

0 0 #N/A

12313 1

Flow (m3/s) Flow (m3/s)Sewer Slope (%)

Partial Full % Partial Full %Sewer Size (mm)

Flow (m3/s)Sewer Slope (%)Partial Full %

3 1 1-0.6 -0.6 2 -0.6

4.4286 4.4286 3 4.4286253.7401 253.7401 4 253.74011.2168 1.2168 5 1.21680.8576 0.8576 6 0.85761.1398 1.1398 7 1.13980.9775 0.9775 8 0.97752.046 2.046 9 2.046400 897.0369 10 897.0369400 900 11 900

0.1257 0.6362 12 0.636216.2768 1396.4624 1.3 14 1.396.465 1.3 15 1.3#N/A 2.0642 16 2.0642#N/A 3.2446 17 3.2446#N/A 0.013 18 0.013#N/A 0.9689 19 0.9689

#N/A 0.793 20 0.793#N/A 1.139 21 1.139#N/A 4.3936 22 4.3936#N/A 251.7357 23 251.7357#N/A 713.7 24 713.7#N/A 3.6956 25 3.6956#N/A 1.2161 26 1.2161#N/A 1094.49 27 1094.49#N/A 4044797.244 28 4044797.244#N/A Turbulent Flow 29 Turbulent Flow#N/A 1977.12 30 1977.12#N/A 729.3379 31 729.3379#N/A 0.541 32 0.541#N/A 741.7687 33 741.7687#N/A 1.37 34 1.37#N/A super-critical 35 super-critical

02468101214161820222426283032343638404244464850

Graphs

Results

ResultsSewer Diameter (mm) 900 Ryenold's No. 4044797.244

Flow Depth (mm) 713.7 Froude's No. 1.37y/D 0.793 Viscous Flow Type Turbulent Flow

Flow Velocity (m/s) 3.6956 Gravity Flow Type super-criticalSewer Long. Slope (%) 1.3

0.541Manning n (Adjusted) 0.013

Partially Full Flow Sewer Solver (Version 1.1)

Flow Area (m2)

0 0.2 0.4 0.6 0.8 1 1.20

0.10.20.30.40.50.60.70.80.91

Q/QfullV/VfullCurrent V/Vfull

Q/Qfull V/Vfull

y/D

v/vf y/D1.139 0.793

q/qf y/D0.9689 0.793

Graphs

Results

Results4044797.244

1.37Turbulent Flowsuper-critical

0 0.2 0.4 0.6 0.8 1 1.20

0.10.20.30.40.50.60.70.80.9

1Q/QfullV/VfullCurrent V/Vfull

Q/Qfull V/Vfull

y/D

900 mm

Dq 0.00628318531 nf 0.013 n_indicator 0y/D V/Vfull Q/Qfull y/D

0.006283 1.4516411E-11 2.4674E-06 0.000351 2.310359E-12 2.4674E-060.012566 2.9262962E-10 9.86957E-06 0.000885 4.657345E-11 9.8696E-060.01885 1.6957946E-09 2.22064E-05 0.001519 2.698941E-10 2.2206E-050.025133 5.8988105E-09 3.94779E-05 0.00223 9.388249E-10 3.9478E-050.031416 1.5512971E-08 6.16838E-05 0.003002 2.468966E-09 6.1684E-050.037699 3.4182041E-08 8.88238E-05 0.003828 5.440241E-09 8.8824E-050.043982 6.6662589E-08 0.000120898 0.004702 1.060968E-08 0.00012090.050265 1.1889379E-07 0.000157905 0.005618 1.892253E-08 0.000157910.056549 1.9805957E-07 0.000199846 0.006573 3.152216E-08 0.000199850.062832 3.1264475E-07 0.00024672 0.007564 4.975896E-08 0.000246720.069115 4.7248653E-07 0.000298526 0.008589 7.519857E-08 0.000298530.075398 6.8882199E-07 0.000355264 0.009645 1.096294E-07 0.000355260.081681 9.7433224E-07 0.000416933 0.010731 1.550698E-07 0.000416930.087965 1.3431838E-06 0.000483533 0.011845 2.137743E-07 0.000483530.094248 1.8110676E-06 0.000555063 0.012986 2.882404E-07 0.000555060.100531 2.3952352E-06 0.000631522 0.014152 3.812135E-07 0.000631520.106814 3.1145341E-06 0.000712909 0.015343 4.956935E-07 0.000712910.113097 3.98944E-06 0.000799225 0.016557 6.349391E-07 0.000799220.119381 5.0420888E-06 0.000890467 0.017794 8.024734E-07 0.000890470.125664 6.2963057E-06 0.000986636 0.019052 1.002088E-06 0.000986640.131947 7.7776343E-06 0.001087729 0.020332 1.237849E-06 0.001087730.13823 9.5133634E-06 0.001193747 0.021632 1.514099E-06 0.001193750.144513 1.1532553E-05 0.001304687 0.022951 1.835463E-06 0.001304690.150796 1.386606E-05 0.00142055 0.02429 2.206852E-06 0.001420550.15708 1.654656E-05 0.001541333 0.025647 2.633467E-06 0.001541330.163363 1.9608572E-05 0.001667036 0.027022 3.120801E-06 0.001667040.169646 2.3088482E-05 0.001797657 0.028415 3.674646E-06 0.001797660.175929 2.7024559E-05 0.001933195 0.029824 4.301092E-06 0.00193320.182212 3.145698E-05 0.002073649 0.03125 5.006534E-06 0.002073650.188496 3.6427847E-05 0.002219018 0.032693 5.797672E-06 0.002219020.194779 4.1981206E-05 0.002369299 0.034151 6.681516E-06 0.00236930.201062 4.8163065E-05 0.002524492 0.035625 7.66539E-06 0.002524490.207345 5.5021413E-05 0.002684594 0.037114 8.75693E-06 0.002684590.213628 6.2606233E-05 0.002849605 0.038617 9.964091E-06 0.00284960.219911 7.0969518E-05 0.003019522 0.040136 1.129515E-05 0.003019520.226195 8.0165293E-05 0.003194345 0.041668 1.27587E-05 0.003194340.232478 9.0249617E-05 0.00337407 0.043214 1.436367E-05 0.003374070.238761 0.00010128061 0.003558698 0.044774 1.611931E-05 0.00355870.245044 0.00011331846 0.003748225 0.046347 1.803519E-05 0.003748220.251327 0.00012642543 0.003942649 0.047933 2.012123E-05 0.003942650.257611 0.00014066588 0.00414197 0.049532 2.238767E-05 0.004141970.263894 0.00015610628 0.004346184 0.051144 2.484509E-05 0.00434618

q (degree)q (rad) [q-sin q)5/3]/q2/3

0.270177 0.00017281521 0.004555291 0.052768 2.750439E-05 0.004555290.27646 0.00019086337 0.004769287 0.054405 3.037685E-05 0.004769290.282743 0.00021032361 0.004988171 0.056053 3.347404E-05 0.004988170.289027 0.00023127092 0.005211941 0.057713 3.680791E-05 0.005211940.29531 0.00025378245 0.005440594 0.059385 4.039073E-05 0.005440590.301593 0.00027793749 0.005674128 0.061068 4.423513E-05 0.005674130.307876 0.00030381753 0.00591254 0.062762 4.835406E-05 0.005912540.314159 0.00033150622 0.00615583 0.064467 5.276085E-05 0.006155830.320442 0.00036108941 0.006403993 0.066183 5.746916E-05 0.006403990.326726 0.00039265513 0.006657028 0.06791 6.249301E-05 0.006657030.333009 0.00042629362 0.006914932 0.069647 6.784674E-05 0.006914930.339292 0.00046209731 0.007177702 0.071394 7.354507E-05 0.00717770.345575 0.00050016084 0.007445337 0.073152 7.960307E-05 0.007445340.351858 0.00054058108 0.007717833 0.07492 8.603615E-05 0.007717830.358142 0.00058345711 0.007995187 0.076698 9.286008E-05 0.007995190.364425 0.00062889022 0.008277398 0.078485 0.000100091 0.00827740.370708 0.00067698394 0.008564461 0.080282 0.0001077453 0.008564460.376991 0.00072784402 0.008856375 0.082089 0.00011584 0.008856370.383274 0.00078157845 0.009153136 0.083904 0.0001243921 0.009153140.389557 0.00083829745 0.009454741 0.08573 0.0001334192 0.009454740.395841 0.00089811347 0.009761188 0.087564 0.0001429392 0.009761190.402124 0.0009611412 0.010072474 0.089407 0.0001529704 0.010072470.408407 0.00102749757 0.010388595 0.091259 0.0001635313 0.010388590.41469 0.00109730174 0.010709548 0.09312 0.000174641 0.010709550.420973 0.00117067512 0.01103533 0.094989 0.0001863187 0.011035330.427257 0.00124774134 0.011365938 0.096867 0.0001985842 0.011365940.43354 0.00132862629 0.011701369 0.098753 0.0002114574 0.011701370.439823 0.00141345808 0.012041619 0.100647 0.0002249588 0.012041620.446106 0.00150236706 0.012386685 0.10255 0.0002391091 0.012386690.452389 0.00159548582 0.012736564 0.104461 0.0002539295 0.012736560.458673 0.00169294917 0.013091251 0.106379 0.0002694412 0.013091250.464956 0.00179489414 0.013450745 0.108306 0.0002856663 0.013450740.471239 0.00190146002 0.01381504 0.11024 0.0003026268 0.013815040.477522 0.0020127883 0.014184134 0.112182 0.0003203452 0.014184130.483805 0.00212902267 0.014558022 0.114131 0.0003388445 0.014558020.490088 0.00225030908 0.014936702 0.116088 0.0003581478 0.01493670.496372 0.00237679565 0.015320169 0.118052 0.0003782788 0.015320170.502655 0.00250863272 0.015708419 0.120024 0.0003992613 0.015708420.508938 0.00264597285 0.01610145 0.122002 0.0004211197 0.016101450.515221 0.00278897076 0.016499256 0.123988 0.0004438785 0.016499260.521504 0.00293778339 0.016901834 0.125981 0.0004675627 0.016901830.527788 0.00309256985 0.017309181 0.127981 0.0004921978 0.017309180.534071 0.00325349142 0.017721291 0.129987 0.0005178092 0.017721290.540354 0.00342071158 0.018138161 0.132 0.0005444232 0.018138160.546637 0.00359439593 0.018559787 0.13402 0.0005720659 0.01855979

0.55292 0.00377471226 0.018986164 0.136047 0.0006007641 0.018986160.559203 0.0039618305 0.019417289 0.13808 0.0006305449 0.019417290.565487 0.00415592271 0.019853157 0.140119 0.0006614356 0.019853160.57177 0.0043571631 0.020293764 0.142165 0.000693464 0.020293760.578053 0.00456572798 0.020739105 0.144217 0.0007266582 0.020739110.584336 0.0047817958 0.021189177 0.146275 0.0007610464 0.021189180.590619 0.00500554708 0.021643974 0.14834 0.0007966576 0.021643970.596903 0.00523716447 0.022103493 0.15041 0.0008335206 0.022103490.603186 0.00547683268 0.022567728 0.152486 0.000871665 0.022567730.609469 0.00572473851 0.023036675 0.154569 0.0009111204 0.023036670.615752 0.0059810708 0.023510329 0.156657 0.000951917 0.023510330.622035 0.00624602048 0.023988687 0.158751 0.000994085 0.023988690.628319 0.00651978049 0.024471742 0.16085 0.0010376553 0.024471740.634602 0.00680254581 0.02495949 0.162955 0.0010826588 0.024959490.640885 0.00709451344 0.025451928 0.165066 0.0011291269 0.025451930.647168 0.00739588237 0.025949048 0.167182 0.0011770912 0.025949050.653451 0.00770685359 0.026450848 0.169303 0.0012265838 0.026450850.659734 0.0080276301 0.026957321 0.17143 0.001277637 0.026957320.666018 0.00835841681 0.027468462 0.173562 0.0013302834 0.027468460.672301 0.00869942064 0.027984268 0.1757 0.0013845558 0.027984270.678584 0.0090508504 0.028504732 0.177842 0.0014404876 0.028504730.684867 0.00941291686 0.02902985 0.179989 0.0014981122 0.029029850.69115 0.00978583268 0.029559616 0.182142 0.0015574636 0.029559620.697434 0.01016981244 0.030094024 0.184299 0.0016185759 0.030094020.703717 0.01056507257 0.030633071 0.186462 0.0016814835 0.03063307

0.71 0.0109718314 0.03117675 0.188629 0.0017462212 0.031176750.716283 0.01139030907 0.031725057 0.190801 0.001812824 0.031725060.722566 0.01182072761 0.032277985 0.192977 0.0018813272 0.032277980.728849 0.01226331081 0.032835529 0.195159 0.0019517665 0.032835530.735133 0.0127182843 0.033397684 0.197345 0.0020241778 0.033397680.741416 0.01318587549 0.033964444 0.199535 0.0020985973 0.033964440.747699 0.01366631356 0.034535803 0.20173 0.0021750614 0.03453580.753982 0.01415982943 0.035111757 0.203929 0.0022536068 0.035111760.760265 0.01466665576 0.035692299 0.206132 0.0023342708 0.03569230.766549 0.01518702694 0.036277423 0.20834 0.0024170904 0.036277420.772832 0.01572117904 0.036867124 0.210552 0.0025021034 0.036867120.779115 0.01626934983 0.037461397 0.212769 0.0025893474 0.03746140.785398 0.01683177873 0.038060234 0.214989 0.0026788608 0.038060230.791681 0.0174087068 0.03866363 0.217213 0.0027706817 0.038663630.797965 0.01800037675 0.03927158 0.219442 0.0028648489 0.039271580.804248 0.01860703286 0.039884076 0.221674 0.0029614013 0.039884080.810531 0.01922892103 0.040501114 0.22391 0.0030603778 0.040501110.816814 0.0198662887 0.041122687 0.22615 0.003161818 0.041122690.823097 0.02051938488 0.041748789 0.228394 0.0032657615 0.041748790.82938 0.0211884601 0.042379414 0.230642 0.0033722482 0.04237941

0.835664 0.02187376637 0.043014555 0.232893 0.003481318 0.043014550.841947 0.02257555723 0.043654206 0.235148 0.0035930115 0.043654210.84823 0.02329408766 0.044298362 0.237407 0.0037073692 0.044298360.854513 0.02402961409 0.044947015 0.239669 0.0038244319 0.044947010.860796 0.02478239436 0.045600159 0.241934 0.0039442406 0.045600160.86708 0.02555268773 0.046257788 0.244203 0.0040668366 0.046257790.873363 0.02634075483 0.046919895 0.246475 0.0041922613 0.046919890.879646 0.02714685764 0.047586474 0.248751 0.0043205566 0.047586470.885929 0.0279712595 0.048257518 0.25103 0.0044517642 0.048257520.892212 0.02881422504 0.04893302 0.253312 0.0045859263 0.048933020.898495 0.02967602019 0.049612975 0.255597 0.0047230853 0.049612970.904779 0.03055691214 0.050297374 0.257885 0.0048632836 0.050297370.911062 0.03145716933 0.050986212 0.260177 0.005006564 0.050986210.917345 0.03237706143 0.051679482 0.262471 0.0051529694 0.051679480.923628 0.03331685929 0.052377176 0.264769 0.0053025428 0.052377180.929911 0.03427683494 0.053079288 0.267069 0.0054553277 0.053079290.936195 0.03525726157 0.053785811 0.269372 0.0056113675 0.053785810.942478 0.03625841349 0.054496738 0.271678 0.0057707057 0.054496740.948761 0.0372805661 0.055212062 0.273987 0.0059333864 0.055212060.955044 0.03832399591 0.055931776 0.276299 0.0060994534 0.055931780.961327 0.03938898045 0.056655872 0.278613 0.0062689509 0.056655870.967611 0.04047579829 0.057384344 0.28093 0.0064419234 0.057384340.973894 0.041584729 0.058117185 0.283249 0.0066184152 0.058117180.980177 0.04271605315 0.058854387 0.285571 0.006798471 0.058854390.98646 0.04387005224 0.059595943 0.287896 0.0069821357 0.059595940.992743 0.0450470087 0.060341845 0.290223 0.0071694541 0.060341840.999026 0.04624720586 0.061092087 0.292552 0.0073604714 0.061092091.00531 0.04747092794 0.06184666 0.294884 0.0075552328 0.061846661.011593 0.04871846 0.062605558 0.297218 0.0077537837 0.062605561.017876 0.04999008793 0.063368773 0.299554 0.0079561696 0.063368771.024159 0.0512860984 0.064136297 0.301893 0.0081624361 0.06413631.030442 0.05260677888 0.064908123 0.304234 0.0083726289 0.064908121.036726 0.05395241756 0.065684243 0.306576 0.0085867939 0.065684241.043009 0.05532330337 0.066464649 0.308921 0.0088049772 0.066464651.049292 0.0567197259 0.067249335 0.311268 0.0090272247 0.067249331.055575 0.05814197544 0.068038291 0.313617 0.0092535828 0.068038291.061858 0.05959034289 0.068831511 0.315968 0.0094840976 0.068831511.068142 0.06106511977 0.069628986 0.318321 0.0097188157 0.069628991.074425 0.06256659818 0.070430709 0.320676 0.0099577834 0.070430711.080708 0.06409507078 0.071236672 0.323033 0.0102010473 0.071236671.086991 0.06565083075 0.072046866 0.325391 0.0104486542 0.072046871.093274 0.06723417177 0.072861284 0.327751 0.0107006508 0.072861281.099557 0.06884538799 0.073679918 0.330113 0.0109570838 0.073679921.105841 0.070484774 0.074502759 0.332477 0.0112180002 0.074502761.112124 0.07215262482 0.0753298 0.334842 0.0114834469 0.0753298

1.118407 0.07384923584 0.076161032 0.337208 0.0117534709 0.076161031.12469 0.07557490281 0.076996447 0.339577 0.0120281194 0.076996451.130973 0.07732992182 0.077836037 0.341946 0.0123074393 0.077836041.137257 0.07911458924 0.078679794 0.344318 0.0125914779 0.078679791.14354 0.08092920174 0.079527709 0.34669 0.0128802825 0.079527711.149823 0.08277405621 0.080379774 0.349064 0.0131739002 0.080379771.156106 0.08464944976 0.08123598 0.35144 0.0134723784 0.081235981.162389 0.08655567969 0.082096319 0.353816 0.0137757643 0.082096321.168672 0.08849304345 0.082960783 0.356194 0.0140841053 0.082960781.174956 0.09046183862 0.083829363 0.358573 0.0143974488 0.083829361.181239 0.09246236287 0.08470205 0.360953 0.0147158421 0.084702051.187522 0.09449491396 0.085578837 0.363335 0.0150393327 0.085578841.193805 0.09655978966 0.086459713 0.365717 0.0153679678 0.086459711.200088 0.09865728776 0.087344671 0.3681 0.015701795 0.087344671.206372 0.10078770603 0.088233701 0.370485 0.0160408616 0.08823371.212655 0.1029513422 0.089126796 0.37287 0.016385215 0.08912681.218938 0.1051484939 0.090023945 0.375257 0.0167349026 0.090023951.225221 0.10737945867 0.090925141 0.377644 0.0170899716 0.090925141.231504 0.10964453388 0.091830375 0.380032 0.0174504696 0.091830371.237788 0.11194401676 0.092739636 0.382421 0.0178164436 0.092739641.244071 0.11427820433 0.093652918 0.384811 0.0181879411 0.093652921.250354 0.11664739338 0.09457021 0.387201 0.0185650093 0.094570211.256637 0.11905188044 0.095491503 0.389592 0.0189476953 0.09549151.26292 0.12149196173 0.096416788 0.391984 0.0193360463 0.096416791.269203 0.12396793319 0.097346057 0.394377 0.0197301094 0.097346061.275487 0.12648009038 0.0982793 0.39677 0.0201299316 0.09827931.28177 0.12902872848 0.099216508 0.399163 0.0205355599 0.099216511.288053 0.13161414227 0.100157671 0.401557 0.0209470413 0.100157671.294336 0.13423662608 0.10110278 0.403952 0.0213644226 0.101102781.300619 0.13689647377 0.102051827 0.406347 0.0217877505 0.102051831.306903 0.13959397869 0.103004801 0.408742 0.0222170717 0.10300481.313186 0.14232943368 0.103961693 0.411138 0.0226524329 0.103961691.319469 0.14510313099 0.104922494 0.413534 0.0230938806 0.104922491.325752 0.14791536229 0.105887194 0.41593 0.0235414611 0.105887191.332035 0.15076641862 0.106855784 0.418327 0.0239952208 0.106855781.338318 0.15365659037 0.107828254 0.420723 0.0244552059 0.107828251.344602 0.15658616724 0.108804595 0.42312 0.0249214625 0.108804591.350885 0.15955543822 0.109784796 0.425517 0.0253940367 0.10978481.357168 0.16256469155 0.110768849 0.427915 0.0258729742 0.110768851.363451 0.1656142147 0.111756744 0.430312 0.0263583209 0.111756741.369734 0.16870429431 0.11274847 0.432709 0.0268501224 0.112748471.376018 0.1718352162 0.113744018 0.435106 0.0273484241 0.113744021.382301 0.17500726534 0.114743379 0.437503 0.0278532714 0.114743381.388584 0.17822072576 0.115746541 0.4399 0.0283647095 0.115746541.394867 0.18147588058 0.116753497 0.442297 0.0288827834 0.1167535

1.40115 0.18477301198 0.117764234 0.444694 0.0294075382 0.117764231.407434 0.18811240113 0.118778744 0.447091 0.0299390185 0.118778741.413717 0.19149432817 0.119797017 0.449487 0.0304772689 0.11979702

1.42 0.19491907221 0.120819042 0.451883 0.0310223338 0.120819041.426283 0.19838691127 0.12184481 0.454279 0.0315742576 0.121844811.432566 0.20189812226 0.12287431 0.456675 0.0321330842 0.122874311.438849 0.20545298094 0.123907531 0.45907 0.0326988575 0.123907531.445133 0.20905176192 0.124944465 0.461465 0.0332716213 0.124944471.451416 0.21269473859 0.125985101 0.463859 0.033851419 0.12598511.457699 0.21638218311 0.127029427 0.466253 0.034438294 0.127029431.463982 0.22011436638 0.128077435 0.468646 0.0350322895 0.128077441.470265 0.22389155802 0.129129114 0.471039 0.0356334482 0.129129111.476549 0.2277140263 0.130184453 0.473431 0.0362418129 0.130184451.482832 0.23158203818 0.131243441 0.475823 0.0368574261 0.131243441.489115 0.23549585919 0.13230607 0.478214 0.0374803301 0.132306071.495398 0.2394557535 0.133372327 0.480604 0.0381105668 0.133372331.501681 0.24346198379 0.134442203 0.482994 0.0387481782 0.13444221.507964 0.2475148113 0.135515686 0.485382 0.0393932057 0.135515691.514248 0.25161449577 0.136592767 0.48777 0.0400456908 0.136592771.520531 0.2557612954 0.137673435 0.490158 0.0407056744 0.137673431.526814 0.25995546684 0.138757679 0.492544 0.0413731975 0.138757681.533097 0.26419726514 0.139845488 0.49493 0.0420483007 0.139845491.53938 0.26848694374 0.140936851 0.497314 0.0427310243 0.140936851.545664 0.27282475444 0.142031758 0.499698 0.0434214083 0.142031761.551947 0.27721094735 0.143130199 0.502081 0.0441194925 0.14313021.55823 0.2816457709 0.144232161 0.504462 0.0448253166 0.144232161.564513 0.28612947176 0.145337635 0.506843 0.0455389198 0.145337641.570796 0.29066229485 0.146446609 0.509222 0.046260341 0.146446611.57708 0.29524448331 0.147559073 0.511601 0.0469896189 0.147559071.583363 0.29987627845 0.148675015 0.513978 0.047726792 0.148675021.589646 0.30455791973 0.149794425 0.516354 0.0484718984 0.149794421.595929 0.30928964474 0.150917291 0.518729 0.0492249758 0.150917291.602212 0.31407168917 0.152043602 0.521103 0.0499860618 0.15204361.608495 0.31890428678 0.153173347 0.523475 0.0507551936 0.153173351.614779 0.32378766935 0.154306516 0.525846 0.0515324081 0.154306521.621062 0.3287220667 0.155443096 0.528216 0.0523177418 0.15544311.627345 0.33370770663 0.156583077 0.530585 0.0531112311 0.156583081.633628 0.33874481488 0.157726447 0.532952 0.0539129117 0.157726451.639911 0.34383361513 0.158873195 0.535317 0.0547228194 0.15887321.646195 0.34897432897 0.160023311 0.537681 0.0555409895 0.160023311.652478 0.35416717587 0.161176781 0.540044 0.0563674567 0.161176781.658761 0.35941237313 0.162333596 0.542405 0.0572022558 0.16233361.665044 0.36471013588 0.163493743 0.544765 0.0580454209 0.163493741.671327 0.37006067705 0.164657212 0.547122 0.058896986 0.164657211.67761 0.37546420734 0.16582399 0.549479 0.0597569846 0.16582399

1.683894 0.38092093518 0.166994066 0.551834 0.0606254498 0.166994071.690177 0.38643106674 0.168167429 0.554187 0.0615024144 0.168167431.69646 0.39199480586 0.169344067 0.556538 0.062387911 0.169344071.702743 0.39761235404 0.170523969 0.558887 0.0632819716 0.170523971.709026 0.40328391043 0.171707122 0.561235 0.0641846278 0.171707121.71531 0.4090096718 0.172893516 0.563581 0.065095911 0.172893521.721593 0.4147898325 0.174083137 0.565925 0.0660158522 0.174083141.727876 0.42062458444 0.175275976 0.568268 0.0669444818 0.175275981.734159 0.42651411705 0.176472019 0.570608 0.06788183 0.176472021.740442 0.43245861732 0.177671256 0.572946 0.0688279266 0.177671261.746726 0.43845826968 0.178873673 0.575283 0.069782801 0.178873671.753009 0.44451325604 0.180079261 0.577617 0.070746482 0.180079261.759292 0.45062375576 0.181288005 0.57995 0.0717189982 0.181288011.765575 0.45678994559 0.182499895 0.58228 0.0727003778 0.18249991.771858 0.46301199971 0.183714919 0.584609 0.0736906485 0.183714921.778141 0.46929008961 0.184933064 0.586935 0.0746898375 0.184933061.784425 0.47562438418 0.186154319 0.589259 0.0756979718 0.186154321.790708 0.4820150496 0.187378672 0.591581 0.0767150778 0.187378671.796991 0.48846224934 0.18860611 0.593901 0.0777411815 0.188606111.803274 0.49496614416 0.189836621 0.596219 0.0787763085 0.189836621.809557 0.50152689207 0.191070193 0.598534 0.079820484 0.191070191.815841 0.50814464829 0.192306815 0.600847 0.0808737326 0.192306811.822124 0.51481956528 0.193546473 0.603158 0.0819360786 0.193546471.828407 0.52155179264 0.194789156 0.605466 0.0830075459 0.194789161.83469 0.52834147717 0.196034851 0.607772 0.0840881577 0.196034851.840973 0.53518876278 0.197283546 0.610076 0.0851779371 0.197283551.847256 0.54209379052 0.198535229 0.612377 0.0862769064 0.198535231.85354 0.54905669853 0.199789887 0.614676 0.0873850876 0.199789891.859823 0.55607762201 0.201047508 0.616972 0.0885025023 0.201047511.866106 0.56315669324 0.20230808 0.619266 0.0896291715 0.202308081.872389 0.57029404153 0.20357159 0.621557 0.0907651157 0.203571591.878672 0.57748979318 0.204838025 0.623846 0.0919103552 0.204838031.884956 0.5847440715 0.206107374 0.626132 0.0930649094 0.206107371.891239 0.59205699679 0.207379623 0.628415 0.0942287976 0.207379621.897522 0.59942868627 0.20865476 0.630696 0.0954020385 0.208654761.903805 0.60685925411 0.209932773 0.632974 0.0965846501 0.209932771.910088 0.61434881141 0.211213648 0.63525 0.0977766501 0.211213651.916372 0.62189746613 0.212497374 0.637523 0.0989780558 0.212497371.922655 0.62950532315 0.213783937 0.639793 0.1001888839 0.213783941.928938 0.63717248418 0.215073325 0.64206 0.1014091505 0.215073331.935221 0.64489904776 0.216365525 0.644324 0.1026388712 0.216365531.941504 0.65268510929 0.217660525 0.646586 0.1038780614 0.217660521.947787 0.66053076095 0.218958311 0.648844 0.1051267357 0.218958311.954071 0.66843609169 0.220258871 0.6511 0.1063849081 0.220258871.960354 0.67640118727 0.221562192 0.653353 0.1076525925 0.22156219

1.966637 0.68442613018 0.222868261 0.655603 0.1089298018 0.222868261.97292 0.69251099963 0.224177065 0.65785 0.1102165487 0.224177061.979203 0.70065587157 0.225488591 0.660094 0.1115128454 0.225488591.985487 0.70886081865 0.226802827 0.662335 0.1128187033 0.226802831.99177 0.71712591021 0.228119759 0.664573 0.1141341334 0.228119761.998053 0.72545121225 0.229439374 0.666808 0.1154591464 0.229439372.004336 0.73383678742 0.23076166 0.669039 0.1167937521 0.230761662.010619 0.74228269503 0.232086603 0.671268 0.1181379601 0.23208662.016902 0.750788991 0.23341419 0.673493 0.1194917791 0.233414192.023186 0.75935572786 0.234744408 0.675715 0.1208552177 0.234744412.029469 0.76798295475 0.236077244 0.677934 0.1222282835 0.236077242.035752 0.77667071737 0.237412685 0.68015 0.1236109838 0.237412692.042035 0.785419058 0.238750718 0.682363 0.1250033255 0.238750722.048318 0.79422801548 0.240091329 0.684572 0.1264053146 0.240091332.054602 0.80309762518 0.241434505 0.686778 0.1278169568 0.24143452.060885 0.812027919 0.242780233 0.68898 0.1292382572 0.242780232.067168 0.82101892535 0.2441285 0.69118 0.1306692203 0.24412852.073451 0.83007066915 0.245479292 0.693376 0.1321098501 0.245479292.079734 0.83918317182 0.246832596 0.695568 0.13356015 0.24683262.086018 0.84835645123 0.248188399 0.697757 0.1350201227 0.24818842.092301 0.85759052173 0.249546687 0.699942 0.1364897707 0.249546692.098584 0.86688539414 0.250907447 0.702125 0.1379690956 0.250907452.104867 0.8762410757 0.252270666 0.704303 0.1394580985 0.252270672.11115 0.88565757009 0.253636329 0.706478 0.1409567802 0.253636332.117433 0.89513487743 0.255004424 0.708649 0.1424651405 0.255004422.123717 0.90467299422 0.256374937 0.710817 0.1439831789 0.25637494

2.13 0.91427191339 0.257747855 0.712982 0.1455108943 0.257747852.136283 0.92393162425 0.259123163 0.715142 0.1470482851 0.259123162.142566 0.9336521125 0.260500849 0.717299 0.1485953488 0.260500852.148849 0.9434333602 0.261880898 0.719452 0.1501520828 0.26188092.155133 0.9532753458 0.263263298 0.721602 0.1517184834 0.26326332.161416 0.96317804407 0.264648034 0.723748 0.1532945468 0.264648032.167699 0.97314142617 0.266035093 0.72589 0.1548802683 0.266035092.173982 0.98316545957 0.267424461 0.728028 0.1564756428 0.267424462.180265 0.99325010808 0.268816124 0.730163 0.1580806644 0.268816122.186548 1.00339533185 0.27021007 0.732294 0.1596953269 0.270210072.192832 1.01360108734 0.271606283 0.73442 0.1613196234 0.271606282.199115 1.02386732732 0.27300475 0.736543 0.1629535462 0.273004752.205398 1.03419400086 0.274405458 0.738662 0.1645970874 0.274405462.211681 1.04458105334 0.275808392 0.740778 0.1662502381 0.275808392.217964 1.05502842644 0.277213539 0.742889 0.1679129892 0.277213542.224248 1.0655360581 0.278620884 0.744996 0.1695853307 0.278620882.230531 1.07610388258 0.280030415 0.747099 0.1712672522 0.280030422.236814 1.08673183039 0.281442117 0.749199 0.1729587426 0.281442122.243097 1.09741982833 0.282855975 0.751294 0.1746597903 0.28285598

2.24938 1.10816779946 0.284271977 0.753385 0.1763703831 0.284271982.255664 1.11897566312 0.285690108 0.755472 0.178090508 0.285690112.261947 1.1298433349 0.287110354 0.757555 0.1798201517 0.287110352.26823 1.14077072664 0.288532701 0.759634 0.1815593001 0.28853272.274513 1.15175774645 0.289957136 0.761709 0.1833079386 0.289957142.280796 1.1628042987 0.291383643 0.76378 0.185066052 0.291383642.287079 1.17391028398 0.29281221 0.765846 0.1868336244 0.292812212.293363 1.18507559918 0.294242821 0.767908 0.1886106395 0.294242822.299646 1.19630013737 0.295675463 0.769966 0.1903970803 0.295675462.305929 1.20758378793 0.297110121 0.77202 0.192192929 0.297110122.312212 1.21892643644 0.298546782 0.774069 0.1939981676 0.298546782.318495 1.23032796474 0.299985431 0.776115 0.1958127772 0.299985432.324779 1.24178825091 0.301426055 0.778155 0.1976367384 0.301426052.331062 1.25330716927 0.302868638 0.780192 0.1994700312 0.302868642.337345 1.2648845904 0.304313167 0.782224 0.201312635 0.304313172.343628 1.2765203811 0.305759627 0.784252 0.2031645286 0.305759632.349911 1.28821440441 0.307208004 0.786275 0.2050256902 0.3072082.356194 1.29996651965 0.308658284 0.788294 0.2068960975 0.308658282.362478 1.31177658235 0.310110452 0.790309 0.2087757273 0.310110452.368761 1.32364444431 0.311564495 0.792319 0.2106645562 0.311564492.375044 1.33556995356 0.313020397 0.794325 0.21256256 0.31302042.381327 1.3475529544 0.314478145 0.796326 0.2144697138 0.314478142.38761 1.35959328737 0.315937724 0.798322 0.2163859923 0.315937722.393894 1.37169078929 0.317399119 0.800314 0.2183113695 0.317399122.400177 1.38384529321 0.318862317 0.802302 0.2202458189 0.318862322.40646 1.39605662847 0.320327302 0.804285 0.2221893133 0.32032732.412743 1.40832462066 0.321794061 0.806263 0.2241418249 0.321794062.419026 1.42064909166 0.323262578 0.808237 0.2261033253 0.323262582.42531 1.4330298596 0.32473284 0.810206 0.2280737858 0.324732842.431593 1.44546673893 0.326204832 0.81217 0.2300531766 0.326204832.437876 1.45795954035 0.327678538 0.81413 0.2320414677 0.327678542.444159 1.47050807087 0.329153946 0.816085 0.2340386283 0.329153952.450442 1.4831121338 0.33063104 0.818035 0.2360446273 0.330631042.456725 1.49577152874 0.332109805 0.81998 0.2380594325 0.332109812.463009 1.50848605161 0.333590228 0.821921 0.2400830117 0.333590232.469292 1.52125549465 0.335072293 0.823857 0.2421153317 0.335072292.475575 1.53407964641 0.336555985 0.825788 0.2441563588 0.336555992.481858 1.54695829179 0.338041291 0.827715 0.2462060589 0.338041292.488141 1.55989121201 0.339528195 0.829636 0.2482643971 0.33952822.494425 1.57287818464 0.341016683 0.831553 0.250331338 0.341016682.500708 1.58591898362 0.34250674 0.833465 0.2524068456 0.342506742.506991 1.59901337923 0.343998352 0.835372 0.2544908834 0.343998352.513274 1.61216113813 0.345491503 0.837274 0.2565834142 0.34549152.519557 1.62536202338 0.346986179 0.839171 0.2586844003 0.346986182.52584 1.63861579441 0.348482365 0.841063 0.2607938035 0.34848237

2.532124 1.65192220704 0.349980047 0.84295 0.2629115849 0.349980052.538407 1.66528101352 0.351479209 0.844832 0.2650377049 0.351479212.54469 1.67869196253 0.352979837 0.84671 0.2671721238 0.352979842.550973 1.69215479914 0.354481917 0.848582 0.2693148008 0.354481922.557256 1.7056692649 0.355985432 0.850449 0.2714656948 0.355985432.56354 1.7192350978 0.357490369 0.852311 0.2736247642 0.357490372.569823 1.73285203229 0.358996712 0.854168 0.2757919666 0.358996712.576106 1.7465197993 0.360504447 0.85602 0.2779672593 0.360504452.582389 1.76023812626 0.362013559 0.857867 0.2801505988 0.362013562.588672 1.77400673707 0.363524032 0.859709 0.2823419413 0.363524032.594956 1.78782535218 0.365035853 0.861545 0.2845412422 0.365035852.601239 1.80169368854 0.366549005 0.863377 0.2867484565 0.366549012.607522 1.81561145965 0.368063475 0.865203 0.2889635385 0.368063482.613805 1.82957837556 0.369579247 0.867024 0.2911864422 0.369579252.620088 1.8435941429 0.371096306 0.86884 0.2934171209 0.371096312.626371 1.85765846487 0.372614637 0.870651 0.2956555273 0.372614642.632655 1.87177104126 0.374134226 0.872456 0.2979016136 0.374134232.638938 1.88593156847 0.375655056 0.874256 0.3001553315 0.375655062.645221 1.90013973955 0.377177114 0.876051 0.3024166321 0.377177112.651504 1.91439524417 0.378700385 0.877841 0.3046854661 0.378700382.657787 1.92869776865 0.380224852 0.879625 0.3069617836 0.380224852.664071 1.943046996 0.381750501 0.881404 0.3092455341 0.38175052.670354 1.95744260591 0.383277318 0.883178 0.3115366665 0.383277322.676637 1.97188427477 0.384805287 0.884946 0.3138351295 0.384805292.68292 1.98637167571 0.386334392 0.886709 0.316140871 0.386334392.689203 2.00090447858 0.38786462 0.888467 0.3184538384 0.387864622.695486 2.01548234999 0.389395954 0.890219 0.3207739787 0.389395952.70177 2.03010495333 0.390928379 0.891966 0.3231012383 0.390928382.708053 2.04477194877 0.392461881 0.893707 0.3254355631 0.392461882.714336 2.0594829933 0.393996445 0.895443 0.3277768986 0.393996452.720619 2.07423774073 0.395532055 0.897173 0.3301251896 0.395532052.726902 2.08903584172 0.397068696 0.898898 0.3324803805 0.39706872.733186 2.10387694381 0.398606352 0.900618 0.3348424153 0.398606352.739469 2.11876069138 0.40014501 0.902332 0.3372112373 0.400145012.745752 2.13368672577 0.401684653 0.90404 0.3395867894 0.401684652.752035 2.14865468521 0.403225266 0.905743 0.3419690141 0.403225272.758318 2.16366420487 0.404766834 0.907441 0.3443578534 0.404766832.764602 2.17871491689 0.406309343 0.909132 0.3467532486 0.406309342.770885 2.19380645042 0.407852776 0.910819 0.3491551408 0.407852782.777168 2.20893843158 0.409397118 0.912499 0.3515634704 0.409397122.783451 2.22411048352 0.410942355 0.914175 0.3539781774 0.410942352.789734 2.23932222645 0.412488471 0.915844 0.3563992015 0.412488472.796017 2.25457327765 0.41403545 0.917508 0.3588264817 0.414035452.802301 2.26986325148 0.415583278 0.919166 0.3612599566 0.415583282.808584 2.28519175941 0.417131939 0.920819 0.3636995644 0.41713194

2.814867 2.30055841005 0.418681417 0.922466 0.3661452428 0.418681422.82115 2.31596280918 0.420231699 0.924107 0.3685969291 0.42023172.827433 2.33140455973 0.421782767 0.925742 0.37105456 0.421782772.833717 2.34688326185 0.423334608 0.927372 0.373518072 0.42333461

2.84 2.36239851293 0.424887205 0.928996 0.3759874009 0.424887212.846283 2.37794990757 0.426440544 0.930615 0.3784624822 0.426440542.852566 2.39353703769 0.427994609 0.932227 0.380943251 0.427994612.858849 2.40915949246 0.429549384 0.933834 0.3834296419 0.429549382.865133 2.42481685841 0.431104855 0.935435 0.3859215891 0.431104852.871416 2.44050871938 0.432661005 0.93703 0.3884190263 0.432661012.877699 2.45623465662 0.43421782 0.93862 0.390921887 0.434217822.883982 2.47199424873 0.435775285 0.940204 0.393430104 0.435775282.890265 2.48778707177 0.437333383 0.941782 0.3959436098 0.437333382.896548 2.50361269921 0.4388921 0.943354 0.3984623367 0.43889212.902832 2.51947070201 0.44045142 0.94492 0.4009862162 0.440451422.909115 2.53536064862 0.442011328 0.94648 0.4035151797 0.442011332.915398 2.55128210502 0.443571808 0.948035 0.4060491582 0.443571812.921681 2.56723463473 0.445132844 0.949583 0.4085880822 0.445132842.927964 2.58321779883 0.446694423 0.951126 0.4111318818 0.446694422.934248 2.59923115602 0.448256527 0.952663 0.4136804867 0.448256532.940531 2.61527426263 0.449819143 0.954194 0.4162338264 0.449819142.946814 2.63134667263 0.451382253 0.955719 0.4187918299 0.451382252.953097 2.64744793768 0.452945843 0.957238 0.4213544259 0.452945842.95938 2.66357760713 0.454509898 0.958751 0.4239215425 0.45450992.965663 2.6797352281 0.456074402 0.960258 0.4264931077 0.45607442.971947 2.69592034544 0.457639339 0.961759 0.4290690492 0.457639342.97823 2.71213250182 0.459204694 0.963255 0.431649294 0.459204692.984513 2.72837123769 0.460770452 0.964744 0.4342337691 0.460770452.990796 2.7446360914 0.462336597 0.966227 0.4368224009 0.46233662.997079 2.76092659913 0.463903114 0.967704 0.4394151158 0.463903113.003363 2.777242295 0.465469987 0.969175 0.4420118394 0.465469993.009646 2.79358271103 0.467037201 0.970641 0.4446124974 0.46703723.015929 2.80994737722 0.46860474 0.9721 0.4472170149 0.468604743.022212 2.82633582158 0.470172589 0.973553 0.4498253168 0.470172593.028495 2.8427475701 0.471740733 0.975 0.4524373277 0.471740733.034779 2.85918214685 0.473309155 0.976441 0.4550529719 0.473309163.041062 2.87563907398 0.474877841 0.977876 0.4576721732 0.474877843.047345 2.89211787174 0.476446775 0.979305 0.4602948553 0.476446773.053628 2.90861805851 0.478015941 0.980727 0.4629209416 0.478015943.059911 2.92513915086 0.479585324 0.982144 0.4655503551 0.479585323.066194 2.94168066356 0.481154909 0.983554 0.4681830186 0.481154913.072478 2.95824210959 0.482724679 0.984959 0.4708188546 0.482724683.078761 2.97482300021 0.48429462 0.986357 0.4734577853 0.484294623.085044 2.99142284497 0.485864717 0.987749 0.4760997327 0.485864723.091327 3.00804115174 0.487434952 0.989135 0.4787446183 0.48743495

3.09761 3.02467742673 0.489005312 0.990515 0.4813923637 0.489005313.103894 3.04133117456 0.49057578 0.991888 0.48404289 0.490575783.110177 3.05800189825 0.492146341 0.993256 0.4866961181 0.492146343.11646 3.07468909927 0.49371698 0.994617 0.4893519686 0.493716983.122743 3.09139227758 0.495287681 0.995972 0.492010362 0.495287683.129026 3.10811093164 0.496858428 0.997321 0.4946712184 0.496858433.135309 3.12484455845 0.498429206 0.998664 0.4973344579 0.498429213.141593 3.14159265359 0.5 1 0.5 0.53.147876 3.15835471125 0.501570794 1.00133 0.5026677643 0.501570793.154159 3.17513022426 0.503141572 1.002654 0.5053376702 0.503141573.160442 3.19191868412 0.504712319 1.003972 0.5080096365 0.504712323.166725 3.20871958102 0.50628302 1.005283 0.5106835823 0.506283023.173009 3.2255324039 0.507853659 1.006589 0.5133594262 0.507853663.179292 3.24235664048 0.50942422 1.007888 0.5160370866 0.509424223.185575 3.25919177725 0.510994688 1.00918 0.5187164818 0.510994693.191858 3.27603729957 0.512565048 1.010467 0.52139753 0.512565053.198141 3.29289269165 0.514135283 1.011747 0.5240801489 0.514135283.204425 3.30975743658 0.51570538 1.013021 0.5267642565 0.515705383.210708 3.32663101643 0.517275321 1.014289 0.5294497701 0.517275323.216991 3.3435129122 0.518845091 1.01555 0.5321366073 0.518845093.223274 3.3604026039 0.520414676 1.016805 0.5348246852 0.520414683.229557 3.37729957059 0.521984059 1.018054 0.537513921 0.521984063.23584 3.39420329036 0.523553225 1.019296 0.5402042315 0.523553233.242124 3.41111324044 0.525122159 1.020532 0.5428955337 0.525122163.248407 3.42802889718 0.526690845 1.021762 0.545587744 0.526690843.25469 3.44494973608 0.528259267 1.022985 0.5482807792 0.528259273.260973 3.46187523188 0.529827411 1.024202 0.5509745555 0.529827413.267256 3.47880485851 0.53139526 1.025413 0.5536689893 0.531395263.27354 3.49573808921 0.532962799 1.026617 0.5563639967 0.53296283.279823 3.5126743965 0.534530013 1.027815 0.5590594937 0.534530013.286106 3.52961325224 0.536096886 1.029007 0.5617553963 0.536096893.292389 3.54655412768 0.537663403 1.030192 0.5644516204 0.53766343.298672 3.56349649345 0.539229548 1.031371 0.5671480816 0.539229553.304955 3.58043981963 0.540795306 1.032543 0.5698446957 0.540795313.311239 3.59738357579 0.542360661 1.033709 0.5725413783 0.542360663.317522 3.61432723098 0.543925598 1.034869 0.5752380448 0.54392563.323805 3.63127025382 0.545490102 1.036023 0.5779346106 0.54549013.330088 3.64821211249 0.547054157 1.03717 0.5806309912 0.547054163.336371 3.66515227479 0.548617747 1.03831 0.5833271017 0.548617753.342655 3.68209020815 0.550180857 1.039444 0.5860228575 0.550180863.348938 3.69902537972 0.551743473 1.040572 0.5887181738 0.551743473.355221 3.71595725632 0.553305577 1.041693 0.5914129657 0.553305583.361504 3.73288530454 0.554867156 1.042808 0.5941071482 0.554867163.367787 3.74980899076 0.556428192 1.043917 0.5968006365 0.556428193.374071 3.76672778118 0.557988672 1.045019 0.5994933457 0.55798867

3.380354 3.78364114184 0.55954858 1.046114 0.6021851906 0.559548583.386637 3.80054853866 0.5611079 1.047203 0.6048760864 0.56110793.39292 3.81744943752 0.562666617 1.048286 0.607565948 0.562666623.399203 3.83434330423 0.564224715 1.049363 0.6102546904 0.564224723.405486 3.85122960459 0.56578218 1.050432 0.6129422286 0.565782183.41177 3.86810780444 0.567338995 1.051496 0.6156284775 0.567338993.418053 3.88497736967 0.568895145 1.052553 0.6183133522 0.568895153.424336 3.90183776627 0.570450616 1.053603 0.6209967676 0.570450623.430619 3.91868846037 0.572005391 1.054647 0.6236786389 0.572005393.436902 3.93552891826 0.573559456 1.055685 0.626358881 0.573559463.443186 3.95235860642 0.575112795 1.056716 0.6290374091 0.575112793.449469 3.96917699157 0.576665392 1.057741 0.6317141382 0.576665393.455752 3.9859835407 0.578217233 1.058759 0.6343889836 0.578217233.462035 4.00277772112 0.579768301 1.059771 0.6370618604 0.57976833.468318 4.01955900045 0.581318583 1.060776 0.639732684 0.581318583.474601 4.0363268467 0.582868061 1.061775 0.6424013696 0.582868063.480885 4.05308072828 0.584416722 1.062767 0.6450678327 0.584416723.487168 4.06982011405 0.58596455 1.063753 0.6477319886 0.585964553.493451 4.08654447334 0.587511529 1.064733 0.6503937531 0.587511533.499734 4.10325327599 0.589057645 1.065706 0.6530530416 0.589057653.506017 4.11994599239 0.590602882 1.066672 0.65570977 0.590602883.512301 4.13662209349 0.592147224 1.067632 0.6583638539 0.592147223.518584 4.15328105089 0.593690657 1.068586 0.6610152093 0.593690663.524867 4.1699223368 0.595233166 1.069533 0.6636637522 0.595233173.53115 4.18654542414 0.596774734 1.070473 0.6663093987 0.596774733.537433 4.20314978653 0.598315347 1.071407 0.6689520651 0.598315353.543717 4.21973489835 0.59985499 1.072335 0.6715916676 0.59985499

3.55 4.23630023474 0.601393648 1.073256 0.6742281228 0.601393653.556283 4.2528452717 0.602931304 1.074171 0.6768613472 0.60293133.562566 4.26936948603 0.604467945 1.075079 0.6794912576 0.604467953.568849 4.28587235547 0.606003555 1.075981 0.6821177708 0.606003553.575132 4.30235335864 0.607538119 1.076876 0.684740804 0.607538123.581416 4.31881197512 0.609071621 1.077764 0.6873602741 0.609071623.587699 4.33524768549 0.610604046 1.078647 0.6899760987 0.610604053.593982 4.35165997134 0.61213538 1.079522 0.6925881951 0.612135383.600265 4.36804831531 0.613665608 1.080392 0.695196481 0.613665613.606548 4.38441220114 0.615194713 1.081254 0.6978008744 0.615194713.612832 4.40075111367 0.616722682 1.082111 0.7004012931 0.616722683.619115 4.4170645389 0.618249499 1.08296 0.7029976553 0.61824953.625398 4.43335196404 0.619775148 1.083804 0.7055898795 0.619775153.631681 4.44961287749 0.621299615 1.08464 0.7081778843 0.621299623.637964 4.4658467689 0.622822886 1.085471 0.7107615884 0.622822893.644247 4.48205312923 0.624344944 1.086295 0.7133409107 0.624344943.650531 4.49823145073 0.625865774 1.087112 0.7159157706 0.625865773.656814 4.51438122703 0.627385363 1.087923 0.7184860873 0.62738536

3.663097 4.53050195311 0.628903694 1.088727 0.7210517805 0.628903693.66938 4.54659312538 0.630420753 1.089525 0.7236127701 0.630420753.675663 4.5626542417 0.631936525 1.090317 0.7261689762 0.631936523.681947 4.57868480141 0.633450995 1.091102 0.728720319 0.633450993.68823 4.59468430535 0.634964147 1.09188 0.7312667191 0.634964153.694513 4.61065225591 0.636475968 1.092653 0.7338080974 0.636475973.700796 4.62658815706 0.637986441 1.093418 0.7363443748 0.637986443.707079 4.64249151436 0.639495553 1.094177 0.7388754728 0.639495553.713363 4.65836183501 0.641003288 1.09493 0.7414013128 0.641003293.719646 4.67419862791 0.642509631 1.095676 0.7439218166 0.642509633.725929 4.69000140362 0.644014568 1.096416 0.7464369065 0.644014573.732212 4.70576967445 0.645518083 1.097149 0.7489465047 0.645518083.738495 4.72150295447 0.647020163 1.097876 0.751450534 0.647020163.744778 4.73720075954 0.648520791 1.098597 0.7539489173 0.648520793.751062 4.75286260735 0.650019953 1.099311 0.7564415778 0.650019953.757345 4.76848801745 0.651517635 1.100018 0.7589284391 0.651517633.763628 4.78407651124 0.653013821 1.100719 0.7614094249 0.653013823.769911 4.79962761209 0.654508497 1.101414 0.7638844595 0.65450853.776194 4.81514084526 0.656001648 1.102102 0.7663534672 0.656001653.782478 4.83061573802 0.65749326 1.102784 0.7688163729 0.657493263.788761 4.84605181963 0.658983317 1.103459 0.7712731016 0.658983323.795044 4.8614486214 0.660471805 1.104128 0.7737235787 0.66047183.801327 4.87680567667 0.661958709 1.104791 0.7761677299 0.661958713.80761 4.89212252092 0.663444015 1.105447 0.7786054814 0.663444013.813893 4.9073986917 0.664927707 1.106097 0.7810367595 0.664927713.820177 4.92263372875 0.666409772 1.10674 0.783461491 0.666409773.82646 4.93782717398 0.667890195 1.107377 0.7858796029 0.667890193.832743 4.9529785715 0.66936896 1.108007 0.7882910227 0.669368963.839026 4.96808746766 0.670846054 1.108632 0.7906956782 0.670846053.845309 4.98315341108 0.672321462 1.109249 0.7930934976 0.672321463.851593 4.99817595266 0.673795168 1.109861 0.7954844093 0.673795173.857876 5.01315464563 0.67526716 1.110466 0.7978683423 0.675267163.864159 5.02808904557 0.676737422 1.111064 0.8002452259 0.676737423.870442 5.04297871044 0.678205939 1.111657 0.8026149897 0.678205943.876725 5.05782320059 0.679672698 1.112242 0.8049775637 0.67967273.883009 5.07262207881 0.681137683 1.112822 0.8073328783 0.681137683.889292 5.08737491033 0.682600881 1.113395 0.8096808643 0.682600883.895575 5.1020812629 0.684062276 1.113962 0.812021453 0.684062283.901858 5.11674070674 0.685521855 1.114522 0.814354576 0.685521863.908141 5.13135281463 0.686979603 1.115076 0.8166801652 0.68697963.914424 5.14591716192 0.688435505 1.115624 0.8189981531 0.688435513.920708 5.16043332651 0.689889548 1.116166 0.8213084724 0.689889553.926991 5.17490088897 0.691341716 1.116701 0.8236110565 0.691341723.933274 5.18931943246 0.692791996 1.11723 0.825905839 0.6927923.939557 5.20368854284 0.694240373 1.117752 0.8281927539 0.69424037

3.94584 5.21800780863 0.695686833 1.118268 0.8304717358 0.695686833.952124 5.2322768211 0.697131362 1.118778 0.8327427197 0.697131363.958407 5.24649517424 0.698573945 1.119282 0.8350056409 0.698573953.96469 5.2606624648 0.700014569 1.119779 0.8372604352 0.700014573.970973 5.27477829233 0.701453218 1.120271 0.8395070389 0.701453223.977256 5.28884225919 0.702889879 1.120755 0.8417453888 0.702889883.983539 5.30285397057 0.704324537 1.121234 0.8439754219 0.704324543.989823 5.31681303452 0.705757179 1.121706 0.8461970759 0.705757183.996106 5.330719062 0.70718779 1.122172 0.848410289 0.707187794.002389 5.34457166683 0.708616357 1.122632 0.8506149995 0.708616364.008672 5.3583704658 0.710042864 1.123086 0.8528111465 0.710042864.014955 5.37211507863 0.711467299 1.123533 0.8549986696 0.71146734.021239 5.38580512803 0.712889646 1.123974 0.8571775087 0.712889654.027522 5.39944023969 0.714309892 1.124409 0.8593476041 0.714309894.033805 5.41302004234 0.715728023 1.124838 0.8615088968 0.715728024.040088 5.42654416772 0.717144025 1.12526 0.8636613282 0.717144024.046371 5.44001225066 0.718557883 1.125677 0.8658048402 0.718557884.052655 5.45342392907 0.719969585 1.126087 0.8679393751 0.719969584.058938 5.46677884395 0.721379116 1.126491 0.8700648758 0.721379124.065221 5.48007663943 0.722786461 1.126889 0.8721812857 0.722786464.071504 5.4933169628 0.724191608 1.12728 0.8742885486 0.724191614.077787 5.50649946449 0.725594542 1.127666 0.8763866089 0.725594544.08407 5.51962379814 0.72699525 1.128045 0.8784754115 0.726995254.090354 5.53268962059 0.728393717 1.128418 0.8805549017 0.728393724.096637 5.5456965919 0.72978993 1.128786 0.8826250255 0.729789934.10292 5.55864437537 0.731183876 1.129147 0.8846857292 0.731183884.109203 5.57153263758 0.732575539 1.129502 0.8867369599 0.732575544.115486 5.58436104838 0.733964907 1.12985 0.8887786649 0.733964914.12177 5.59712928093 0.735351966 1.130193 0.8908107922 0.735351974.128053 5.60983701169 0.736736702 1.13053 0.8928332904 0.73673674.134336 5.62248392048 0.738119102 1.13086 0.8948461084 0.73811914.140619 5.63506969047 0.739499151 1.131185 0.8968491959 0.739499154.146902 5.6475940082 0.740876837 1.131503 0.898842503 0.740876844.153185 5.6600565636 0.742252145 1.131816 0.9008259803 0.742252154.159469 5.67245705 0.743625063 1.132122 0.902799579 0.743625064.165752 5.68479516417 0.744995576 1.132423 0.9047632508 0.744995584.172035 5.6970706063 0.746363671 1.132717 0.9067169481 0.746363674.178318 5.70928308006 0.747729334 1.133006 0.9086606237 0.747729334.184601 5.72143229257 0.749092553 1.133288 0.9105942309 0.749092554.190885 5.73351795445 0.750453313 1.133564 0.9125177238 0.750453314.197168 5.74553977984 0.751811601 1.133835 0.9144310567 0.75181164.203451 5.75749748636 0.753167404 1.134099 0.9163341848 0.75316744.209734 5.76939079519 0.754520708 1.134358 0.9182270637 0.754520714.216017 5.78121943106 0.7558715 1.134611 0.9201096496 0.75587154.222301 5.79298312225 0.757219767 1.134857 0.9219818992 0.75721977

4.228584 5.80468160062 0.758565495 1.135098 0.9238437698 0.75856554.234867 5.81631460163 0.759908671 1.135333 0.9256952194 0.759908674.24115 5.82788186434 0.761249282 1.135562 0.9275362065 0.761249284.247433 5.83938313142 0.762587315 1.135785 0.92936669 0.762587314.253716 5.85081814918 0.763922756 1.136002 0.9311866296 0.76392276

4.26 5.86218666756 0.765255592 1.136214 0.9329959855 0.765255594.266283 5.87348844017 0.76658581 1.136419 0.9347947184 0.766585814.272566 5.88472322429 0.767913397 1.136619 0.9365827899 0.76791344.278849 5.89589078086 0.76923834 1.136813 0.9383601617 0.769238344.285132 5.90699087453 0.770560626 1.137001 0.9401267965 0.770560634.291416 5.91802327364 0.771880241 1.137183 0.9418826573 0.771880244.297699 5.92898775025 0.773197173 1.13736 0.943627708 0.773197174.303982 5.93988408016 0.774511409 1.13753 0.9453619127 0.774511414.310265 5.95071204287 0.775822935 1.137695 0.9470852365 0.775822944.316548 5.96147142165 0.777131739 1.137855 0.9487976449 0.777131744.322831 5.97216200353 0.778437808 1.138008 0.9504991038 0.778437814.329115 5.98278357929 0.779741129 1.138156 0.9521895801 0.779741134.335398 5.99333594348 0.781041689 1.138298 0.953869041 0.781041694.341681 6.00381889445 0.782339475 1.138434 0.9555374545 0.782339484.347964 6.01423223435 0.783634475 1.138565 0.957194789 0.783634474.354247 6.02457576909 0.784926675 1.13869 0.9588410137 0.784926674.360531 6.03484930843 0.786216063 1.138809 0.9604760983 0.786216064.366814 6.04505266593 0.787502626 1.138922 0.962100013 0.787502634.373097 6.05518565898 0.788786352 1.13903 0.963712729 0.788786354.37938 6.0652481088 0.790067227 1.139133 0.9653142176 0.790067234.385663 6.07523984045 0.79134524 1.13923 0.9669044511 0.791345244.391947 6.08516068283 0.792620377 1.139321 0.9684834022 0.792620384.39823 6.09501046871 0.793892626 1.139406 0.9700510443 0.793892634.404513 6.10478903469 0.795161975 1.139486 0.9716073514 0.795161974.410796 6.11449622128 0.79642841 1.139561 0.9731522981 0.796428414.417079 6.12413187281 0.79769192 1.13963 0.9746858597 0.797691924.423362 6.13369583752 0.798952492 1.139693 0.976208012 0.798952494.429646 6.14318796752 0.800210113 1.139751 0.9777187314 0.800210114.435929 6.15260811882 0.801464771 1.139803 0.979217995 0.801464774.442212 6.1619561513 0.802716454 1.13985 0.9807057806 0.802716454.448495 6.17123192876 0.803965149 1.139891 0.9821820664 0.803965154.454778 6.18043531886 0.805210844 1.139927 0.9836468315 0.805210844.461062 6.18956619322 0.806453527 1.139958 0.9851000552 0.806453534.467345 6.19862442732 0.807693185 1.139983 0.986541718 0.807693194.473628 6.20760990056 0.808929807 1.140003 0.9879718005 0.808929814.479911 6.21652249628 0.810163379 1.140017 0.9893902841 0.810163384.486194 6.2253621017 0.81139389 1.140026 0.990797151 0.811393894.492477 6.23412860797 0.812621328 1.140029 0.9921923838 0.812621334.498761 6.24282191018 0.813845681 1.140027 0.9935759658 0.813845684.505044 6.25144190732 0.815066936 1.14002 0.994947881 0.81506694

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4.79407 6.56780190403 0.86769393 1.134191 1.0452981383 0.867693934.800354 6.57293466361 0.868756559 1.133951 1.0461150423 0.868756564.806637 6.57799384959 0.869815547 1.133707 1.0469202368 0.869815554.81292 6.58297954971 0.870870886 1.133458 1.0477137356 0.870870894.819203 6.5878918554 0.871922565 1.133205 1.0484955533 0.871922564.825486 6.59273086175 0.872970573 1.132947 1.0492657051 0.872970574.83177 6.59749666749 0.874014899 1.132685 1.0500242067 0.87401494.838053 6.602189375 0.875055535 1.132418 1.0507710743 0.875055534.844336 6.60680909027 0.876092469 1.132147 1.0515063248 0.876092474.850619 6.61135592291 0.87712569 1.131872 1.0522299757 0.877125694.856902 6.61582998612 0.87815519 1.131592 1.0529420449 0.878155194.863185 6.62023139672 0.879180958 1.131308 1.0536425512 0.879180964.869469 6.62456027506 0.880202983 1.13102 1.0543315136 0.880202984.875752 6.62881674508 0.881221256 1.130727 1.0550089518 0.881221264.882035 6.63300093427 0.882235766 1.13043 1.0556748862 0.882235774.888318 6.63711297362 0.883246503 1.130129 1.0563293376 0.88324654.894601 6.64115299769 0.884253459 1.129823 1.0569723274 0.884253464.900885 6.64512114451 0.885256621 1.129513 1.0576038776 0.885256624.907168 6.64901755561 0.886255982 1.129199 1.0582240107 0.886255984.913451 6.652842376 0.88725153 1.128881 1.0588327498 0.887251534.919734 6.65659575416 0.888243256 1.128559 1.0594301184 0.888243264.926017 6.66027784201 0.889231151 1.128232 1.0600161409 0.889231154.9323 6.6638887949 0.890215204 1.127902 1.0605908419 0.8902152

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4.97 6.68406980671 0.896038307 1.125833 1.0638027497 0.896038314.976283 6.68718744996 0.896995199 1.125474 1.064298938 0.89699524.982566 6.69023532281 0.897948173 1.125111 1.0647840221 0.897948174.988849 6.6932136108 0.89889722 1.124744 1.0652580313 0.898897224.995132 6.69612250274 0.899842329 1.124373 1.0657209959 0.899842335.001416 6.69896219071 0.900783492 1.123999 1.0661729462 0.900783495.007699 6.70173287 0.9017207 1.12362 1.0666139135 0.90172075.013982 6.70443473914 0.902653943 1.123238 1.0670439294 0.902653945.020265 6.70706799987 0.903583212 1.122852 1.0674630258 0.903583215.026548 6.70963285709 0.904508497 1.122462 1.0678712355 0.90450855.032831 6.71212951887 0.90542979 1.122068 1.0682685916 0.905429795.039115 6.71455819645 0.906347082 1.12167 1.0686551276 0.906347085.045398 6.71691910418 0.907260364 1.121269 1.0690308778 0.907260365.051681 6.71921245953 0.908169625 1.120864 1.0693958766 0.908169635.057964 6.72143848305 0.909074859 1.120455 1.0697501593 0.909074865.064247 6.72359739838 0.909976055 1.120043 1.0700937613 0.909976055.070531 6.72568943219 0.910873204 1.119627 1.0704267188 0.9108732

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5.6423 6.67360764973 0.974548072 1.069453 1.0621376457 0.974548075.648584 6.67085766343 0.97504051 1.068801 1.0616999718 0.975040515.654867 6.6680722089 0.975528258 1.068147 1.0612566529 0.975528265.66115 6.66525169995 0.976011313 1.067492 1.060807755 0.976011315.667433 6.66239655122 0.976489671 1.066836 1.060353344 0.976489675.673716 6.65950717821 0.976963325 1.066178 1.059893486 0.97696333

5.68 6.65658399719 0.977432272 1.065519 1.0594282473 0.977432275.686283 6.65362742522 0.977896507 1.064859 1.0589576942 0.977896515.692566 6.65063788012 0.978356026 1.064197 1.0584818933 0.978356035.698849 6.64761578044 0.978810823 1.063534 1.0580009112 0.978810825.705132 6.64456154543 0.979260895 1.06287 1.0575148146 0.979260895.711415 6.64147559502 0.979706236 1.062205 1.0570236704 0.979706245.717699 6.63835834982 0.980146843 1.061539 1.0565275454 0.980146845.723982 6.63521023105 0.980582711 1.060871 1.0560265067 0.980582715.730265 6.63203166056 0.981013836 1.060202 1.0555206215 0.981013845.736548 6.62882306079 0.981440213 1.059533 1.055009957 0.981440215.742831 6.62558485474 0.981861839 1.058862 1.0544945805 0.981861845.749115 6.62231746595 0.982278709 1.05819 1.0539745594 0.982278715.755398 6.61902131849 0.982690819 1.057517 1.0534499613 0.982690825.761681 6.61569683692 0.983098166 1.056843 1.0529208536 0.983098175.767964 6.61234444629 0.983500744 1.056168 1.0523873041 0.983500745.774247 6.60896457207 0.98389855 1.055493 1.0518493804 0.983898555.78053 6.6055576402 0.984291581 1.054816 1.0513071503 0.984291585.786814 6.60212407699 0.984679831 1.054138 1.0507606818 0.984679835.793097 6.59866430915 0.985063298 1.05346 1.0502100426 0.98506335.79938 6.59517876375 0.985441978 1.052781 1.0496553008 0.985441985.805663 6.5916678682 0.985815866 1.052101 1.0490965244 0.985815875.811946 6.58813205022 0.98618496 1.05142 1.0485337815 0.986184965.81823 6.58457173783 0.986549255 1.050739 1.0479671402 0.986549265.824513 6.58098735933 0.986908749 1.050056 1.0473966687 0.986908755.830796 6.57737934324 0.987263436 1.049373 1.0468224351 0.987263445.837079 6.57374811835 0.987613315 1.04869 1.0462445077 0.987613315.843362 6.57009411361 0.987958381 1.048005 1.0456629548 0.987958385.849646 6.5664177582 0.988298631 1.04732 1.0450778446 0.988298635.855929 6.56271948144 0.988634062 1.046635 1.0444892456 0.988634065.862212 6.55899971278 0.98896467 1.045949 1.043897226 0.988964675.868495 6.55525888182 0.989290452 1.045262 1.0433018543 0.989290455.874778 6.55149741822 0.989611405 1.044575 1.0427031988 0.989611415.881061 6.54771575176 0.989927526 1.043887 1.0421013279 0.989927535.887345 6.54391431224 0.990238812 1.043199 1.04149631 0.990238815.893628 6.54009352952 0.990545259 1.042511 1.0408882135 0.990545265.899911 6.53625383346 0.990846864 1.041822 1.0402771069 0.990846865.906194 6.53239565392 0.991143625 1.041132 1.0396630586 0.991143635.912477 6.52851942073 0.991435539 1.040442 1.0390461369 0.991435545.918761 6.52462556367 0.991722602 1.039752 1.0384264103 0.9917226

5.925044 6.52071451246 0.992004813 1.039062 1.0378039471 0.992004815.931327 6.51678669673 0.992282167 1.038371 1.0371788159 0.992282175.93761 6.51284254599 0.992554663 1.03768 1.0365510848 0.992554665.943893 6.50888248963 0.992822298 1.036989 1.0359208222 0.99282235.950176 6.5049069569 0.993085068 1.036298 1.0352880965 0.993085075.95646 6.50091637686 0.993342972 1.035606 1.034652976 0.993342975.962743 6.49691117841 0.993596007 1.034914 1.0340155289 0.993596015.969026 6.49289179021 0.99384417 1.034222 1.0333758234 0.993844175.975309 6.48885864072 0.99408746 1.03353 1.0327339277 0.994087465.981592 6.48481215815 0.994325872 1.032838 1.03208991 0.994325875.987876 6.48075277042 0.994559406 1.032146 1.0314438384 0.994559415.994159 6.4766809052 0.994788059 1.031454 1.0307957809 0.994788066.000442 6.47259698982 0.995011829 1.030761 1.0301458056 0.995011836.006725 6.46850145133 0.995230713 1.030069 1.0294939804 0.995230716.013008 6.46439471639 0.995444709 1.029377 1.0288403732 0.995444716.019292 6.46027721134 0.995653816 1.028685 1.0281850519 0.995653826.025575 6.45614936213 0.99585803 1.027993 1.0275280843 0.995858036.031858 6.45201159431 0.996057351 1.027301 1.0268695381 0.996057356.038141 6.447864333 0.996251775 1.026609 1.026209481 0.996251786.044424 6.44370800293 0.996441302 1.025917 1.0255479805 0.99644136.050707 6.43954302833 0.99662593 1.025226 1.0248851042 0.996625936.056991 6.435369833 0.996805655 1.024535 1.0242209195 0.996805666.063274 6.43118884024 0.996980478 1.023844 1.0235554939 0.996980486.069557 6.42700047283 0.997150395 1.023153 1.0228888945 0.99715046.07584 6.42280515306 0.997315406 1.022462 1.0222211886 0.997315416.082123 6.41860330267 0.997475508 1.021772 1.0215524434 0.997475516.088407 6.41439534283 0.997630701 1.021082 1.0208827258 0.99763076.09469 6.41018169417 0.997780982 1.020393 1.0202121027 0.997780986.100973 6.40596277669 0.997926351 1.019704 1.0195406412 0.997926356.107256 6.40173900983 0.998066805 1.019015 1.0188684078 0.99806686.113539 6.39751081237 0.998202343 1.018327 1.0181954693 0.998202346.119822 6.39327860249 0.998332964 1.017639 1.0175218921 0.998332966.126106 6.38904279767 0.998458667 1.016952 1.0168477429 0.998458676.132389 6.38480381476 0.99857945 1.016265 1.0161730878 0.998579456.138672 6.38056206991 0.998695313 1.015579 1.0154979931 0.998695316.144955 6.37631797857 0.998806253 1.014894 1.014822525 0.998806256.151238 6.37207195546 0.998912271 1.014208 1.0141467494 0.998912276.157522 6.36782441458 0.999013364 1.013524 1.0134707323 0.999013366.163805 6.36357576919 0.999109533 1.01284 1.0127945394 0.999109536.170088 6.35932643177 0.999200775 1.012157 1.0121182364 0.999200786.176371 6.35507681403 0.999287091 1.011475 1.0114418887 0.999287096.182654 6.35082732689 0.999368478 1.010793 1.0107655618 0.999368486.188938 6.34657838046 0.999444937 1.010112 1.010089321 0.999444946.195221 6.34233038402 0.999516467 1.009431 1.0094132313 0.999516476.201504 6.33808374603 0.999583067 1.008752 1.0087373579 0.99958307

6.207787 6.33383887408 0.999644736 1.008073 1.0080617656 0.999644746.21407 6.32959617492 0.999701474 1.007395 1.007386519 0.999701476.220353 6.32535605439 0.99975328 1.006718 1.0067116829 0.999753286.226637 6.32111891746 0.999800154 1.006042 1.0060373216 0.999800156.23292 6.31688516819 0.999842095 1.005367 1.0053634995 0.999842096.239203 6.31265520972 0.999879102 1.004693 1.0046902807 0.99987916.245486 6.30842944425 0.999911176 1.004019 1.0040177292 0.999911186.251769 6.30420827305 0.999938316 1.003347 1.0033459089 0.999938326.258053 6.29999209641 0.999960522 1.002675 1.0026748836 0.999960526.264336 6.29578131365 0.999977794 1.002005 1.0020047167 0.999977796.270619 6.29157632314 0.99999013 1.001336 1.0013354717 0.999990136.276902 6.2873775222 0.999997533 1.000667 1.0006672117 0.999997536.283185 6.28318530718 1 1 1 1

Q/Qfull 0.9689 8.4211 #N/An/nf y/D 0.792958 #DIV/0! #N/A

0.006283 V/Vfull 1.139343 #DIV/0! #N/A0.012566 q 4.393616 #DIV/0! #N/A0.01885 n/nf 1.132169 #DIV/0! #N/A

0.025133 n 0.013 #DIV/0! #N/A0.0314160.0376990.0439820.0502650.0565490.0628320.0691150.0753980.0816810.0879650.0942480.1005310.1068140.1130970.1193810.1256640.1319470.13823 y/D n/nf

0.144513 0 10.150796 0.033 1.0993980.15708 0.067 1.152108

0.163363 0.1 1.219880.169646 0.15 1.265060.175929 0.2 1.2876510.182212 0.25 1.2951810.188496 0.3 1.2951810.194779 0.4 1.280120.201062 0.5 1.257530.207345 0.6 1.219880.213628 0.7 1.1792170.219911 0.74 1.1521080.226195 0.8 1.1295180.232478 0.85 1.1069280.238761 0.9 1.0768070.245044 0.94 1.0391570.251327 1 10.2576110.263894

q (rad)

0 0.2 0.4 0.6 0.8 1 1.20

0.2

0.4

0.6

0.8

1

1.2Q/QfullV/Vfull

Q/Qfull V/Vfull

y/D

0.2701770.27646

0.2827430.2890270.29531

0.3015930.3078760.3141590.3204420.3267260.3330090.3392920.3455750.3518580.3581420.3644250.3707080.3769910.3832740.3895570.3958410.4021240.4084070.41469

0.4209730.4272570.43354

0.4398230.4461060.4523890.4586730.4649560.4712390.4775220.4838050.4900880.4963720.5026550.5089380.5152210.5215040.5277880.5340710.5403540.546637

0.552920.5592030.5654870.57177

0.5780530.5843360.5906190.5969030.6031860.6094690.6157520.6220350.6283190.6346020.6408850.6471680.6534510.6597340.6660180.6723010.6785840.6848670.69115

0.6974340.703717

0.710.7162830.7225660.7288490.7351330.7414160.7476990.7539820.7602650.7665490.7728320.7791150.7853980.7916810.7979650.8042480.8105310.8168140.8230970.82938

0.8356640.8419470.84823

0.8545130.8607960.86708

0.8733630.8796460.8859290.8922120.8984950.9047790.9110620.9173450.9236280.9299110.9361950.9424780.9487610.9550440.9613270.9676110.9738940.9801770.98646

0.9927430.9990261.00531

1.0115931.0178761.0241591.0304421.0367261.0430091.0492921.0555751.0618581.0681421.0744251.0807081.0869911.0932741.0995571.1058411.112124

1.1184071.12469

1.1309731.1372571.14354

1.1498231.1561061.1623891.1686721.1749561.1812391.1875221.1938051.2000881.2063721.2126551.2189381.2252211.2315041.2377881.2440711.2503541.2566371.26292

1.2692031.2754871.28177

1.2880531.2943361.3006191.3069031.3131861.3194691.3257521.3320351.3383181.3446021.3508851.3571681.3634511.3697341.3760181.3823011.3885841.394867

1.401151.4074341.413717

1.421.4262831.4325661.4388491.4451331.4514161.4576991.4639821.4702651.4765491.4828321.4891151.4953981.5016811.5079641.5142481.5205311.5268141.5330971.53938

1.5456641.5519471.55823

1.5645131.5707961.57708

1.5833631.5896461.5959291.6022121.6084951.6147791.6210621.6273451.6336281.6399111.6461951.6524781.6587611.6650441.6713271.67761

1.6838941.6901771.69646

1.7027431.7090261.71531

1.7215931.7278761.7341591.7404421.7467261.7530091.7592921.7655751.7718581.7781411.7844251.7907081.7969911.8032741.8095571.8158411.8221241.8284071.83469

1.8409731.8472561.85354

1.8598231.8661061.8723891.8786721.8849561.8912391.8975221.9038051.9100881.9163721.9226551.9289381.9352211.9415041.9477871.9540711.960354

1.9666371.97292

1.9792031.9854871.99177

1.9980532.0043362.0106192.0169022.0231862.0294692.0357522.0420352.0483182.0546022.0608852.0671682.0734512.0797342.0860182.0923012.0985842.1048672.11115

2.1174332.123717

2.132.1362832.1425662.1488492.1551332.1614162.1676992.1739822.1802652.1865482.1928322.1991152.2053982.2116812.2179642.2242482.2305312.2368142.243097

2.249382.2556642.2619472.26823

2.2745132.2807962.2870792.2933632.2996462.3059292.3122122.3184952.3247792.3310622.3373452.3436282.3499112.3561942.3624782.3687612.3750442.3813272.38761

2.3938942.4001772.40646

2.4127432.4190262.42531

2.4315932.4378762.4441592.4504422.4567252.4630092.4692922.4755752.4818582.4881412.4944252.5007082.5069912.5132742.5195572.52584

2.5321242.5384072.54469

2.5509732.5572562.56354

2.5698232.5761062.5823892.5886722.5949562.6012392.6075222.6138052.6200882.6263712.6326552.6389382.6452212.6515042.6577872.6640712.6703542.6766372.68292

2.6892032.6954862.70177

2.7080532.7143362.7206192.7269022.7331862.7394692.7457522.7520352.7583182.7646022.7708852.7771682.7834512.7897342.7960172.8023012.808584

2.8148672.82115

2.8274332.833717

2.842.8462832.8525662.8588492.8651332.8714162.8776992.8839822.8902652.8965482.9028322.9091152.9153982.9216812.9279642.9342482.9405312.9468142.9530972.95938

2.9656632.9719472.97823

2.9845132.9907962.9970793.0033633.0096463.0159293.0222123.0284953.0347793.0410623.0473453.0536283.0599113.0661943.0724783.0787613.0850443.091327

3.097613.1038943.1101773.11646

3.1227433.1290263.1353093.1415933.1478763.1541593.1604423.1667253.1730093.1792923.1855753.1918583.1981413.2044253.2107083.2169913.2232743.2295573.23584

3.2421243.2484073.25469

3.2609733.2672563.27354

3.2798233.2861063.2923893.2986723.3049553.3112393.3175223.3238053.3300883.3363713.3426553.3489383.3552213.3615043.3677873.374071

3.3803543.3866373.39292

3.3992033.4054863.41177

3.4180533.4243363.4306193.4369023.4431863.4494693.4557523.4620353.4683183.4746013.4808853.4871683.4934513.4997343.5060173.5123013.5185843.5248673.53115

3.5374333.543717

3.553.5562833.5625663.5688493.5751323.5814163.5876993.5939823.6002653.6065483.6128323.6191153.6253983.6316813.6379643.6442473.6505313.656814

3.6630973.66938

3.6756633.6819473.68823

3.6945133.7007963.7070793.7133633.7196463.7259293.7322123.7384953.7447783.7510623.7573453.7636283.7699113.7761943.7824783.7887613.7950443.8013273.80761

3.8138933.8201773.82646

3.8327433.8390263.8453093.8515933.8578763.8641593.8704423.8767253.8830093.8892923.8955753.9018583.9081413.9144243.9207083.9269913.9332743.939557

3.945843.9521243.9584073.96469

3.9709733.9772563.9835393.9898233.9961064.0023894.0086724.0149554.0212394.0275224.0338054.0400884.0463714.0526554.0589384.0652214.0715044.0777874.08407

4.0903544.0966374.10292

4.1092034.1154864.12177

4.1280534.1343364.1406194.1469024.1531854.1594694.1657524.1720354.1783184.1846014.1908854.1971684.2034514.2097344.2160174.222301

4.2285844.2348674.24115

4.2474334.253716

4.264.2662834.2725664.2788494.2851324.2914164.2976994.3039824.3102654.3165484.3228314.3291154.3353984.3416814.3479644.3542474.3605314.3668144.3730974.37938

4.3856634.3919474.39823

4.4045134.4107964.4170794.4233624.4296464.4359294.4422124.4484954.4547784.4610624.4673454.4736284.4799114.4861944.4924774.4987614.505044

4.5113274.51761

4.5238934.5301774.53646

4.5427434.5490264.5553094.5615934.5678764.5741594.5804424.5867254.5930084.5992924.6055754.6118584.6181414.6244244.6307084.6369914.6432744.6495574.65584

4.6621234.6684074.67469

4.6809734.6872564.6935394.6998234.7061064.7123894.7186724.7249554.7312394.7375224.7438054.7500884.7563714.7626544.7689384.7752214.7815044.787787

4.794074.8003544.8066374.81292

4.8192034.8254864.83177

4.8380534.8443364.8506194.8569024.8631854.8694694.8757524.8820354.8883184.8946014.9008854.9071684.9134514.9197344.926017

4.93234.9385844.9448674.95115

4.9574334.963716

4.974.9762834.9825664.9888494.9951325.0014165.0076995.0139825.0202655.0265485.0328315.0391155.0453985.0516815.0579645.0642475.070531

5.0768145.0830975.08938

5.0956635.1019465.10823

5.1145135.1207965.1270795.1333625.1396465.1459295.1522125.1584955.1647785.1710625.1773455.1836285.1899115.1961945.2024775.2087615.2150445.2213275.22761

5.2338935.2401775.24646

5.2527435.2590265.2653095.2715925.2778765.2841595.2904425.2967255.3030085.3092925.3155755.3218585.3281415.3344245.3407085.3469915.353274

5.3595575.36584

5.3721235.3784075.38469

5.3909735.3972565.4035395.4098235.4161065.4223895.4286725.4349555.4412385.4475225.4538055.4600885.4663715.4726545.4789385.4852215.4915045.4977875.50407

5.5103545.5166375.52292

5.5292035.5354865.5417695.5480535.5543365.5606195.5669025.5731855.5794695.5857525.5920355.5983185.6046015.6108845.6171685.6234515.6297345.636017

5.64235.6485845.6548675.66115

5.6674335.673716

5.685.6862835.6925665.6988495.7051325.7114155.7176995.7239825.7302655.7365485.7428315.7491155.7553985.7616815.7679645.7742475.78053

5.7868145.7930975.79938

5.8056635.8119465.81823

5.8245135.8307965.8370795.8433625.8496465.8559295.8622125.8684955.8747785.8810615.8873455.8936285.8999115.9061945.9124775.918761

5.9250445.9313275.93761

5.9438935.9501765.95646

5.9627435.9690265.9753095.9815925.9878765.9941596.0004426.0067256.0130086.0192926.0255756.0318586.0381416.0444246.0507076.0569916.0632746.0695576.07584

6.0821236.0884076.09469

6.1009736.1072566.1135396.1198226.1261066.1323896.1386726.1449556.1512386.1575226.1638056.1700886.1763716.1826546.1889386.1952216.201504

6.2077876.21407

6.2203536.2266376.23292

6.2392036.2454866.2517696.2580536.2643366.2706196.2769026.283185

0 0.2 0.4 0.6 0.8 1 1.20

0.2

0.4

0.6

0.8

1

1.2Q/QfullV/Vfull

Q/Qfull V/Vfull

y/D

Source:ASCE, Design and Construction of Sanitary and Storm Sewer , 1969

y/D n/nf0 1 6.64

0.033 1.099 7.30.067 1.152 7.650.1 1.220 8.10.15 1.265 8.40.2 1.288 8.550.25 1.295 8.60.3 1.295 8.60.4 1.280 8.50.5 1.258 8.350.6 1.220 8.10.7 1.179 7.830.74 1.152 7.650.8 1.130 7.50.85 1.107 7.350.9 1.077 7.150.94 1.039 6.91 1 6.64