ship lube oil calculation

LO

Cover (2)DESIGN IV MACHINERY AND ELECTRIC SYSTEMDEPARTMENT OF MARINE ENGINEERINGFTK-ITS

TECHNICAL SPECIFICATION OF ENGINE LUBRICATING SYSTEM

DOC NO: 16 - 42 09 036 - LO

Rev.DateAnnotationDone byApproved byNameSignedNameSignedGamma HalimIr. Indrajaya Gerianto, M.Sc.

Doc 16TECHNICAL SPECIFICATION OF LUBE OIL SYSTEMDesign IVDoc 4211 100 043 - LOMuhammad Habib Chusnul Fikri

1.LIST OF CODE/REFERENCE

a.Marine Engineering , Roy L Harringtonb.Project guide Wartsila 46

2.CALCULATION ALGORITHMa.Calculation of lubricating oil storage tankb.Calculation of lubricating oil service tankc.Calculation of Separatord.Calculation of separator pre-heatere.Calculation of separation feed pumpfCalculation of lubricating oil, stand-by pump

3.INPUT OF PARAMETER DESIGNa.Calculation of lubricating oil storage tankP= Power Main Engine dan generatorSLOC= Specific Lubricating Oil ConsumptionS= Sail RadiusVs= Ship VelocityWLO= Weight LO LO= Density LO

b.Calculation of lubricating system oil tank - Based on Project Guide Wartsilla W32

c.Calculation of Main Lubricating Oil Pump capacity - Based on Project Guide Wartsilla W32

d.Calculation of SeparatorP= Power Main Engine dan generatorn= number of through flows of tank volume per dayt= Time operatione.Calculation of separator pre-heaterQ = separator capacityT = temperature risesf.Calculation of separation feed pumpQ = separator capacityv= flow velocity- Calculation of installation in engine roomhs= head static pumphp= head pressurehv= head velocity

TECHNICAL SPECIFICATION OF LUBE OIL SYSTEMDesign IVDoc 4211 100 043 - LOMuhammad Habib Chusnul Fikri

- Calculation of head in suction pipe= viscosityRe= Reynold numberf= losses frictionmayor losses = head because the length suction side pipeminor losses = head because suction pipe's accessories- Calculation of head in discharge pipe= viscosityRe= Reynold numberf= losses frictionmayor losses = head because the length suction side pipeminor losses = head because suction pipe's accessories- Calculation of total head losses (Hl)hs= head static pumphp= head pressurehv= head velocityhl1= head in suction pipehl2= head in discharge pipe- Calculation of pump power (Pw) and motor power (Pm)Hl= total head losses= fuel densityQ= pump capacityPw= pump powerLubricating oil, stand-by pumpg.- Capacity & Head pump from Project Guide

4OUTPUT OF PARAMETER DESIGNa.Volume of lubricating oil storage tankb.Volume of system oil tankc.Debit Separatord.Capacity of main lubricating oil pumpe.Power of separator pre-heaterf.Capacity and head separation feed pumpg.Capacity and head lubricating oil, stand-by pump


5.DETAIL CALCULATIONa.Calculation of lubricating oil sump tankWhere :PB =10395kW=13940HP

SLOC=Specific Lubricating Oil Consumption=0.5gr / Kwh(Project Guide Wartsila)S =Endurance=166Hoursassumed for two times trip, t = 166x2 = 332 Hours

VS=Ship velocity=18.0Knot

W LO=PB x SLOC x T x 10-6 x 1.3 x n=10390 kW x 0.5 gr/kWh x 332 h x 10-6 =1.50Ton

Based on Project Guide Wartsilla 9L46, the volume of system oil tank is:Vsystemoiltank =14m3Project Guide Wartsila 9L46=11.9ton

So, the sump tank need to be refilled within 55days

b.Calculation of Stanby Lubricating Oil Pump capacityMain engine that used in this design using engine driven main LO pump, with capacity that already determined by project guide Wartsilla 9L46

pump capacity :160m3/h0.04m3/sflow velocity :1.5m/s

so pipe diameter of Main Lubricating Oil Pump can be calculatedQ =A x v = ( x D2/4) x vD =(4 x Q/ x v)D =0.194m =7.65inch

Selected types of carbon steel pipe, standard ANSI

Inside diameter :202.72mm7.981inchthickness :8.18mm0.322inchOutside diameter :219.08mm8.625inchNominal pipe size :8Schedule :40TECHNICAL SPECIFICATION OF LUBE OIL SYSTEMDesign IVDoc 4211 100 043 - LOMuhammad Habib Chusnul Fikri

- Calculation of pump installation in engine roomhead static pump (ha)5mhead pressure (hp) 0mhead velocity (hv) hv = (1.52-1.52) x 1/2g=0m

- Calculation of Losses in Pipe Suction Headhead due to friction in the suction pipeReynold number (Rn) :viskositas n =500cSt@ 50oC = 0.0005m2/s Rn =(Vs x ds)/ nRn =608.1522then the flow is =laminerso can be seen friction losses (l) =64/Rn =0.1052

mayor losses (hf) = I x L x v2 / (D x 2g)pipe length (L) suction side is =4mmayor losses (hf1) = 0.24m

minor losses (correction due to the existing accessories on the pipe)nofittingsNkn x k1Gatevalve20.512Elbow 90o10.50.53NRV01.504T Joint00.50total1.5head losses = k total x v2 / (2g)hl1 = 1.5x 1.52 / 2 x 9.8 =0.17m

- Calculation of head losses in pipe dischargehead due to losses in the discharge pipe Reynold Number (Rn) :viskositas n =500cSt 50oC = 0.0005m2/sRn =(Vs x ds)/ nRn =608.1522then the flow is =laminerso can be seen friction losses (l) =64/Rn =0.1052

mayor losses (hf) = l x L x v2 / (D x 2g)pipe length (L) discharge side is =9mmayor losses (hf1) = 0.54m


minor losses (correction due to the existing accessories on the pipe)noFittingsNkn x k1Cross joint10.50.52filter10.50.53Elbow 90o30.51.54NRV11.51.55T Joint20.51head losses = k total x v2 / (2g)total5hl1 = 5 x 1.52 / 2 x 9.8 =0.57m

H = hs + hp + hv + hf1 + hl1 + hf2 + hl2Total head (H) = 6.52m

c.Calculation of SeparatorP =10395kWn =number of through flows of tank volume per day=5; for HFO(Project Guide Wartsila 9L46)(project guide)t =time operation=24 ; for continuous operationQ =(1.35 x P x n)/ t=(1.35 x 10395 x 5) / 24=2923.59375l/ h=2.924m3/ h

So, chosen type of separator with specification :brandAlfalavalSupply Voltage=220 VtypeS 936Frequency=50 Hzcapacity3250l/hPower=12kW3.25m3/h

d.Calculation of separator pre-heaterQ =separator capacity =3.25m3/ h=3250l/ h=0.00090m3/ swith normal temperatur in sump tank 75C and temperatur after heated is 95oC (recommended value from project guide) :

P =(Q x T) / 1700=3250 x (95-75) /1700=38.24kW

Lube oil heating requirement is loaded into boiler


TypeAALBORG tipe 25 (lub oil)Frekuensi=50 HzkW23kWVoltage=380 VElement length :850mmNumber of Element :30

e.Calculation of lubricating oil separator feed pumpPump planned to circulate lubricating oil for separator.Q =separator capacity=0.0009m3/s =3250l/hr(v) flow velocity =1.5m/s =3.25m3/hQ =v x AQ =( x D2 / 4) x vDiameter (D) of the pipe: D =

D =0.028m =27.7mm1.09inchSelected types of carbon steel pipe, standard ANSIThickness:3.556mm=0.140inchso selected type of pipe is steel Galvanized Pipe (SGP), with ANSI Standard :Inside diameter :35.05mm =1.38inchThickness :3.56mm =0.14inchOutside diameter :42.16mm =1.66inchNominal pipe size :1.25- Calculation of pump installation in engine roomhead static pump (hs) =5.26mhead pressure ( hp) =0mhead velocity (hv) =0m

- Calculation of Losses in Pipe Suction Headhead due to friction in the suction pipeReynold number(Rn) :kinematic viscosity LO at temperatute 40oC =500cst(project guide Wartsila 9L46 p. 67)0.0005m2/s1 cst = 10-6 m2/sRe =(V x D) / Re =105.156then the flow is laminer =64/Re =0.609

use formula 64/Reso can be seen friction losses (l) ==0.609mayor losses (hf) = l x L x v2 / (D x 2g)=f x L x v2 / ( d x 2g)pipe length (L) suction side is ==2mmayor losses (hf1) = =3.99m


minor losses (correction due to the existing accessories on the pipe)nofittingsnkn x k1Elbow 90o10.50.52filter10.50.53Gatevalve10.50.54T Joint00.505NRV01.50total1.5head losses ( hl1 ) =K total x v2 / (2g)=0.17m

- Calculation of head losses in pipe dischargehead due to losses in the discharge pipeReynold number (Rn) :kinematic viscosity LO at temperatute 40oC =500cst(project guide)0.0005m2/s1 cst = 10-6 m2/sRe =(V x D) / Re =105.156then the flow is laminer =64/Re =0.609

use formula 64/Reso can be seen friction losses (l) ==0.609mayor losses (hf) = l x L x v2 / (D x 2g)=f x L x v2 / ( d x 2g)pipe length (L) suction side is ==2mmayor losses (hf1) = =3.99m

minor losses (correction due to the existing accessories on the pipe)nofittingsNkn x k1Elbow 90o30.51.52filter00.503NRV11.51.54T Joint10.50.55GateValve30.51.5total5

head losses ( hl1 ) =K total x v2 / (2g)=0.574- Calculation of total head losses (Hl)tot.head losses (Hl) =hs + hv + hp + hf1 + hl1 + hf2 + hl2=13.98m


So, chosen the Stanby Lubricating oil pump, adjusted with project guide requirements :TypeAllweiler Trilub TRQ (Screw pump)Capacity160m3/hHead8barRPM1500RPM

f.Pre Lubricating oil pump based on Project Guide Wartsila 9L46Separator Capacity :160 m3/hDesign Pressure:3,5 BarDesign Temperature:100oCViscosity for electric motor:500 mm2/s (cSt)

so we can choose Standby Oil Pump with specification :TypeSHINKO SA150-2Capacity160m3/hPower37.00kWHead3.5barRPM1500RPM

scheduleOutside Diameter, Identification, Wall Thickness, Inside DiameterPipe SizeOutside DiameterIdentificationWall Thickness Inside Diameter For all pipe sizes the outside diameter (O.D.) remains relatively constant. The variations in wall thickness affects only the inside diameter (I.D.).(inches)(inches)SteelStainless Steel Schedule No.- t -- d -Iron Pipe SizeSchedule No.(inches)(inches)Welded and Seamless Wrought Steel Pipe1/80.405..10S.049.307To distinguish different weights of pipe, it is common to use the Schedule terminology from ANSI/ASME B36.10 Welded and Seamless Wrought Steel Pipe:STD4040S.068.269XS8080S.095.2151/40.540..10S.065.410STD4040S.088.364-Light Wall XS8080S.119.302-Schedule 10 (Sch/10, S/10) 3/80.675..10S.065.545-Schedule 20 (Sch/20, S/20) STD4040S.091.493-Schedule 30 (Sch/30, S/30) XS8080S.126.423-Schedule 40 (Sch/40, S/40) 1/20.840..5S.065.710-Standard Weight (ST, Std) ..10S.083.674-Schedule 60 (Sch/60, S/60) STD4040S.109.622-Extra Strong (Extra Heavy, EH, XH, XS) XS8080S.147.546-Schedule 80 (Sch/80, S/80) .160..187.466-Schedule 100 (Sch/100, S/100) XXS...294.252-Schedule 120 (Sch/120, S/120) 3/41,050..5S.065.920-Schedule 140 (Sch/140, S/140) ..10S.083.884-Schedule 160 (Sch/160, S/160) STD4040S.113.824-Double Extra Strong (Double extra heavy, XXH, XXS)XS8080S.154.742.160..219.612Stainless Steel PipeXXS...308.434For stainless steel pipes thru 12-inch, schedule numbers from Schedule 5S to schedule 80S are used as published in ANSI/ASME 36.19M Stainless Steel Pipe.11,315..5S.0651,185..10S.1091,097STD4040S.1331,049XS8080S.179.957-Schedule 5S (Sch/5S, S/5S) .160..250.815-Schedule 10S (Sch/10S, S/10S) XXS...358.599-Schedule 40S (Sch/40S, S/40S) 1 1/41,660..5S.0651,530-Schedule 80S (Sch/80S, S/80S) ..10S.1091,442STD4040S.1401,380STD, XS and XXSXS8080S.1911,278To distinguish different weights of pipe, three long standing traditional designations are used:.160..2501,160XXS...382.896-standard wall - STD 1 1/21,900..5S.0651,770-extra strong wall - XS ..10S.1091,682-double extra strong wall - XXS STD4040S.1451,610XS8080S.2001,500The last two designations are sometimes referred to as extra heavy wall (XH), and double extra heavy wall (XXH)..160..2811,338XXS...4001,10022,375..5S.0652,245..10S.1092,1576.2.1. The bilge pumping units, or pumps, required by 6.1 may also be used for ballast, fire or general service duties of an intermittent nature, but they are to be immediately available for bilge duty when required, see also SOLAS 1974 as amended Reg. IISTD4040S.1542,067XS8080S.2181,939.160..3441,687XXS...4361,5032 1/22,875..5S.0832,709..10S.1202,635STD4040S.2032,469XS8080S.2762,323.160..3752,125XXS...5521,77133,500..5S.0833,334..10S.1203,260STD4040S.2163,068XS8080S.3002,900.160..4382,624XXS...6002,3003 1/24,000..5S.0833,834..10S.1203,760STD4040S.2263,548XS8080S.3183,36444,500..5S.0834,334..10S.1204,260STD4040S.2374,026XS8080S.3373,826.120..4383,624.160..5313,438XXS...6743,15255,563..5S.1095,345..10S.1345,295STD4040S.2585,047XS8080S.3754,813.120..5004,563.160..6254,313XXS...7504,06366,625..5S.1096,407..10S.1346,357STD4040S.2806,065XS8080S.4325,761.120..5625,501.160..7185,187XXS...8644,89788,625..5S.1098,407..10S.1488,329.20..2508,125.30..2778,071STD4040S.3227,981.60..4067,813XS8080S.5007,625.100..5947,437.120..7197,187.140..8127,001XXS...8756,875.160..9066,8131010,750..5S.13410,482..10S.16510,420.20..25010,250.30..30710,136STD4040S.36510,020XS6080S.5009,750.80..5949,562.100..7199,312.120..8449,062.140.1,0008,750.160.1,1258,5001212.75..5S.15612,438..10S.18012,390.20..25012,250.30..33012,090STD.40S.37512,000.40..40611,938XS.80S.50011,750.60..56211,626.80..68811,374.100..84411,062.120.1,00010,750.140.1,12510,500.160.1,31210,1261414.00..5S15613,688..10S.18813,624.10..25013,500.20..31213,376STD30..37513,250.40..43813,124XS...50013,000.60..59412,812.80..75012,500.100..93812,124.120.1,09411,812.140.1,25011,500..160.1,40611,1881616.00..5S.16515,670..10S.18815,624.10..25015,500.20..31215,376STD30..37515,250XS40..50015,000.60..65614,688.80..84414,312.100.1,03113,938.120.1,21913,562.140.1,43813,124.160.1,59412,8121818.00..5S.16517,670..10S.18817,624.10..25017,500.20..31217,376STD...37517,250.30..43817,124XS...50017,000.40..56216,876.60..75016,500.80..93816,124.100.1,15615,688.120.1,37515,250.140.1,56214,876.160.1,78114,4382020.00..5S.18819,624..10S.21819,564.10..25019,500STD20..37519,250XS30..50019,000.40..59418,812.60..81218,376.80.1,03117,938.100.1,28117,438.120.1,50017,000.140.1,75016,500.160.1,96916,0622222.00..5S.18821,624..10S.21821,564.10..25021,500STD20..37521,250XS30..50021,000.60..87520,250.80.1,12519.75.100.1,37519.25.120.1,62518.75.140.1,87518.25.160.2,12517.752424.00..5S.21823,564.1010S.25023,500STD20..37523,250XS...50023,000.30..56222,876.40..68822,624.60..96922,062.80.1,21921,562.100.1,53120,938.120.1,81220,376.140.2,06219,876.160.2,34419,3122626.00.10..31225,376STD...37525,250XS20..50025,0002828.00.10..31227,376STD...37527,250XS20..50027,000.30..62526,7503030.00..5S.25029,500.1010S.31229,376STD...37529,250XS20..50029,000.30..62528,7503232.00.10..31231,376STD...37531,250XS20..50031,000.30..62530,750.40..68830,6243434.00.10..34433,312STD...37533,250XS20..50033,000.30..62532,750.40..68832,6243636.00.10..31235,376STD...37535,250XS20..50035,000.30..62534,750.40..75034,5004242.00STD...37541,250XS20..50041,000.30..62540,720.40..75040,500

Area of Metal, Transverse Internal Area, Moment of Inertia, Weight Pipe, Weight Water, External Surface, Elastic Section ModulusPipe SizeArea of MetalTransverse Internal AreaMoment of Inertia Weight PipeWeightExternal SurfaceElastic Section Modulus(inches)(square inches)- l -(pounds per foot)Water(square feet per foot of pipe)(in3)- a -- A -(inches4)(pounds per foot)(square inches)(square feet)1/8.0548.0740.00051.00088.19.032.106.00437.0720.0568.00040.00106.24.025.106.00523.0925.0364.00025.00122.31.016.106.006021/4.0970.1320.00091.00279.33.057.141.01032.1250.1041.00072.00331.42.045.141.01227.1574.0716.00050.00377.54.031.141.013953/8.1246.2333.00162.00586.42.101.178.01736.1670.1910.00133.00729.57.083.178.02160.2173.1405.00098.00862.74.061.178.025541/2.1583.3959.00275.01197.54.172.220.02849.1974.3568.00248.01431.67.155.220.03407.2503.3040.00211.01709.85.132220.04069.3200.2340.00163.020081.09.102.220.04780.3836.1706.00118.022121.31.074220.05267.5043.050.00035.024241.71.022.220.057723/4.2011.6648.00462.02450.69.288.275.04667.2521.6138.00426.02969.86.266.275.05655.3326.5330.00371.037041.13.231.275.07055.4335.4330.00300.044791.47.188.275.08531.5698.2961.00206.052691.94.128.275.10036.7180.148.00103.057922.44.064.275.110321.255311,029.00766.04999.87.478.344.07603.4130.9452.00656.075691.40.409.344.11512.4939.8640.00600.087341.68.375.344.1328.6388.7190.00499.10562.17.312.344.1606.8365.5217.00362.12512.84.230.344.190310,760.282.00196.14053.66.122.344.21361 1/4.32571,839.01277.10381.11.797.435.1250.47171,633.01134.16051.81.708.435.1934.66851,495.01040.19472.27.649.435.2346.88151,283.00891.24183.00.555.435.291311,0701,057.00734.28393.76.458.435.34211,534.630.00438.34115.21.273.435.41101 1/2.37472,461.01709.15791.281,066.497.1662.61332,222.01543.24682.09.963.497.2598.79952,036.01414.30992.72.882.497.32621,0681,767.01225.39123.63.765.497.41181,4291,406.00976.48244.86.608.497.50781,885.950.00660.56786.41.42.497.59772.47173,958.02749.31491.611.72.622.2652.77603,654.02538.49922.641.58.622.42041,0753,355.02330.66573.651.45.622.56061,4772,953.02050.86795.021.28.622.73092,1902,241.015561,1627.46.97.622.9792,6561,774.012321,3119.03.77.6221,1042 1/2.72805,764.04002.71002.482.50.753.49391,0395,453.03787.98733.532.36.753.68681,7044,788.033221,5305.792.07.7531,0642,2544,238.029421,9247.661.87.7531,3392,9453,546.024632,35310.011.54.7531,6384,0282,464.017102,87113.691.07.7531,9973.89108,730.060631,3013.033.78.916.74351,2748,347.057961,8224.333.62.9161,0412,2287,393.051303,0177.583.20.9161,7243,0166,605.045873,89410.252.6.9162,2254,2055,408.037555,03214.322.35.9162,8765,4664,155.028855,99318.581.80.9163,4243 1/21,02111,545.080171,9603.485.001,047.97991,46311,104.077112,7554.974.811,0471,3782,6809,886.068704,7889.114.291,0472,3943,6788,888.061706,28012.503.841,0473,14041,15214.75.102452,8103.926.391,1781,2491,65114.25.098983,9635.616.181,1781,7613,17412.73.088407,23310.795.501,1783,2144,40711.50.079869,61014.984.981,1784,2715,59510.31.071611.6519.04.471,1785,1786,6219.28.064513.2722.514.021,1785,8988,1017.80.054215.2827.543.381,1786,79151,86822.44.15586,9476.369.721,4562,4982,28522.02.15298,4257.779.541,4563,0294,30020.01.139015.1614.628.671,4565,4516,11218.19.126320.6720.787.881,4567,4317,95316.35.113625.7327.047.091,4569,2509,69614.61.101530.0332.966.331,45610,79611,34012.97.090133.6338.555.611,45612,09062,23132.24.223911.857.6013.971,7343,5762,73331.74.220414.409.2913.751,7344,3465,58128.89.200628.1418.9712.511,7348,4968,40526.07.181040.4928.5711.291,73412.2210.7023.77.165049.6136.3910.301,73414.9813.3221.15.146958.9745.359.161,73417.8115.6418.84.130866.3353.168.161,73420.0282,91655.51.385526.449.9324.062,2586,1313,94154.48.378435.4113.4023.612,2588,2126.5751.85.360157.7222.3622.472,25813.397.2651.16.355363.3524.7022.172,25814.698.4050.03.347472.4928.5521.702,25816.8110.4847.94.332988.7335.6420.772,25820.5812.7645.66.3171105.743.3919.782,25824.5114.9643.46.3018121.350.9518.832,25828.1417.8440.59.2819140.560.7117.592,25832.5819.9338.50.2673153.767.7616.682,25835.6521.3037.12.2578162.072.4216.102,25837.5621.9736.46.2532165.974.6915.802,25838.48104.3686.29.599263.015.1937.392,81411.715.4985.28.592276.918.6536.952,81414.308.2482.52.5731113.728.0435.762,81421.1510.0780.69.5603137.434.2434.962,81425.5711.9078.86.5475160.740.4834.202,81429.9016.1074.66.5185212.054.7432.352,81439.4318.9271.84.4989244.864.4331.132,81445.5422.6368.13.4732286.177.0329.532,81453.2226.2464.53.4481324.289.2927.962,81460.3230.6360.13.4176367.8104.1326.062,81468.4334.0256.75.3941399.3115.6424.592,81474.29126.17121.50.8438122.420.9852.653,33819.27.11120.57.8373140.424.1752.253,33822.09.82117.86.8185191.833.3851.073,33830.212.87114.80.7972248.443.7749.743,33839.014.58113.10.7854279.349.5649.003,33843.815.77111.93.7773300.353.5248.503,33847.119.24108.43.7528361.565.4246.923,33856.721.52106.16.7372400.473.1546.003,33862.826.03101.64.7058475.188.6344.043,33874.631.5396.14.6677561.6107.3241.663,33888.136.9190.76.6303641.6125.4939.333,338100.741.0886.59.6013700.5139.6737.523,338109.947.1480.53.5592781.1160.2734.893,338122.6146.78147.1510,219162.623.0763.773,66523.28.16145.7810,124194.627.7363.173,66527.810.80143.14.9940255.336.7162.033,66536.613.42140.52.9758314.445.6160.893,66545.016.05137.88.9575372.854.5759.753,66553.218.66135.28.9394429.163.4458.643,66561.321.21132.73.9217483.872.0957.463,66569.124.98128.96.8956562.385.0555.863,66580.331.22122.72.8522678.3106.1353.183,66598.238.45115.49.8020824.4130.8550.043,665117.844.32109.62.7612929.6150.7947.453,665132.850.07103.87.72131027.0170.2845.013,665146.855.6398.31.68271117.0189.1142.603,665159.6168.21192.8513,393257.327.9083.574,18932.29.34191.7213,314291.931.7583.084,18936.512.37188.6913,103383.742.0581.744,18948.015.38185.6912,895473.252.2780.504,18959.218.41182.6512,684562.162.5879.124,18970.324.35176.7212,272731.982.7776.584,18991.531.62169.4411,766932.4107.5073.424,189116.640.14160.921,1751155.8136.6169.734,189144.548.48152.5810,5961364.5164.8266.124,189170.556.56144.5010,0351555.8192.4362.624,189194.565.78135.28.93941760.3223.6458.644,189220.072.10128.96.89561893.5245.2555.834,189236.7189.25245.2217,029367.631.43106.264,71240.810.52243.9516,941417.335.76105.714,71246.413.94240.5316,703549.147.39104.214,71261.117.34237.1316,467678.258.94102.774,71275.520.76233.7116,230806.770.59101.184,71289.624.17230.3015,990930.382.1599.844,712103.427.49226.9815,7631053.293.4598.274,712117.030.79223.6815,5331171.5104.6796.934,712130.140.64213.8314,8491514.7138.1792.574,712168.350.23204.2414,1831833.0170.9288.504,712203.861.17193.3013,4232180.0207.9683.764,712242.371.81182.6612,6842498.1244.1479.074,712277.680.66173.8012,0702749.0274.2275.324,712305.590.75163.7211,3693020.0308.5070.884,712335.62011.70302.4621,004574.239.78131.065,23657.413.55300.6120,876662.846.06130.275,23666.315.51298.6520,740765.452.73129.425,23675.623.12290.0420,1421113.078.60125.675,236111.330.63283.5319,6901457.0104.13122.875,236145.736.15278.0019,3051703.0123.11120.465,236170.448.95265.2118,4172257.0166.40114.925,236225.761.44252.7217,5502772.0208.87109.515,236277.175.33238.8316,5853315.2256.10103.395,236331.587.18226.9815,7623754.0296.3798.355,236375.5100.33213.8214,8494216.0341.0992.665,236421.7111.49202.6714,0744585.5379.1787.745,236458.52212.88367.2525,503766.243.80159.145,76069.714.92365.2125,362884.850.71158.265,76080.417.08363.0525,2121010.358.07157.325,76091.825.48354.6624,6291489.786.61153.685,760135.433.77346.3624,0531952.5114.81150.095,760117.558.07322.0622,3653244.9197.41139.565,760295.073.78306.3521,2754030.4250.81132.765,760366.489.09291.0420,2114758.5302.88126.125,760432.6104.02276.1219,1755432.0353.61119.655,760493.8118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