MEASURE TODAY. ENSURE 602VFM MULTIVARIABLE VORTEX MASS FLOWMETER.… · VORTEX MASS FLOWMETER FOR GAS AND STEAM FEATURES & BENEFITS • Reliable and accurate multivariable measurement

DS602VM

F-QT-1214-Rev.3

MEASURE TODAY. ENSURE TOMORROW

Spire Metering Technology LLC, 249 Cedar Hill Street, Marlborough, MA 01752, USA

Tel +1 978 263-7100 / 888 738-0188 (toll-free) Fax +1 978 418-9170 [email protected] www.SpireMT.com

APPLICATIONSSteam, compressed air and gas for building facilities, hospitals, steam plants, power plants, steel plants, chemical industry, mining industry and other sectors where mass flow measurement is needed.

602VFM MULTIVARIABLEVORTEX MASS FLOWMETERFOR GAS AND STEAM

FEATURES & BENEFITS• Reliable and accurate multivariable measurement for mass

flow, volume flow, temperature, pressure and frequency.• Integrated pressure and temperature sensors in a

single assembly. Save installation cost by up to 30% while offering a high level of safety.

• Robust construction. Complete stainless steel build. Temperature and pressure sensors protected by the shedder bar. Leak-free.

• Low power consumption design. Able to be powered by 2-wire 4~20mA or HART loop.

• Quad pressure sensors and vibration cancellation algorithm for improved anti-vibration performance.

• Advanced spectrum signal process and unique ground design for guaranteed high sensitivity and excellent low flow performance.

• Easy installation, with flange or wafer process connections.• Temperature and pressure compensated for improved accuracy. • Energy management through accurate temperature

and mass flow measurement.• No need for external output temperature display unit

or a square root extractor.• Various output options: 4~20mA, HART, BACnet,

LonWorks, MODBUS and more.• Designed for steam and gas applications.

MEASURE TODAY. ENSURE TOMORROW2

602VFM MULTIVARIABLE VORTEX MASS FLOWMETERFOR GAS AND STEAM

The 602VFM series vortex mass flow meter utilizes robust piezoelectric elements to detect Karman vortex frequency behind a shedder bar. It is able to provide real-time data for mass flow, volume flow, temperature, pressure and frequency with one instrument and one process connection of either wafer- or flange-type. The parameters can be viewed at the local LCD or can be output through various interface options, such as frequency, 4~20mA, RS485/Modbus, 2-wire HART, BACnet or LonWorks.

Due to the advanced spectrum signal processing technology and quad-pressure sensors technology, the 602VFM is able to provide excellent vibration immunity for stable and accurate flow measurements, even at low flows without any need for start-up tuning.

The 602VFM mass flow meter has integrated a flow convertor, a mass calculator, a PT100 temperature sensor, two pair of pressure sensors and a flow sensor into one unit. The temperature and pressure sensors are installed inside of the shedder bar with full protection. The whole system is robust and reliable. There is no risk of leakage, no need to install external temperature and pressure

sensors, and no need to invest in an external output temperature display unit or a square root extractor.

The 602VFM was designed to have very low power consumption. It can be powered by the 2-wire 4~20mA loop or by the HART loop, which makes this product an ideal choice for process monitoring and field applications. In addition, the 602VFM can also be powered by an external 24VDC power supply to provide other communication capabilities such as RS485.

The whole 602VFM system is wet-calibrated in factory in order to guarantee high accuracy. There is no need to recalibrate when the system is used for air, gas or steam.

DESCRIPTIONS

• -20°C ~ +250°C / -4°F ~ +482°F

MEASURE TODAY. ENSURE TOMORROW 3


Nominal Size DN25 ~ DN300 (1” ~ 12”)

Accuracy

• Volume Flow Rate : ±1% of reading

• Mass Flow Rate : ±1.5% of reading

• Temperature : ±1°C (2°F)

• Pressure : ±1% of Full Scale

Repeatability• Volume Flow Rate : ±0.35%

• Mass Flow Rate : ±0.5%

Measurement Range in Velocity 4m/s ~ 70m/s (13 ~ 230ft/s)

Measurement Range in Flowrate Refer to Table 1

Pressure Rating

• DN25~DN80 / 1”~3”: 2.5MPa for DIN flange, 150lbs for ANSI RF flange



Medium Temperature

(default)

• -20°C ~ +350°C / -4°F ~ +662°F (high temperature version , available upon request)If high temperature version is selected, remote type must be selected. Integral type is not available for high temperature applications.

Medium Type

• Gas – air, compressed air, natural gas, LPG (Liquefied Petroleum Gas), BFG (Blast Furnace Gas), mixed gas and other single-component or multi-component gas

• Steam – saturated or superheated

• Avoid multiphase flow and viscous fluids

Vibration acceleration LUGB ≤ 0.2g

Display and Keys• Large LCD, two lines, for displaying instantaneous mass flow, volume flow,

flow total, temperature, pressure and frequency.• 3 keys to program the display content set up the meter parameters.

Totalizer Mass flow totalizer and volume flow total with 8 digits

Output Signals

• Frequency – 2~3,000Hz. Opto-isolated interface. Voltage level: Low ≤1V; High ≥6V

• 4~20mA – 2-wire current loop. Accuracy: ±0.1%. Load: ≤500 Ohm at 24VDC. Distance ≤1000m

CommunicationRS485/Modbus, HART, BACnet or LonWorks available. Please refer to the model number section

Sensor Body Material• Shedder bar: 316 SS (1Cr18Ni9Ti)

• Flow-cell body: 304 SS

Pipe Connection

• Wafer (default)

• DIN flange

• ASME 150# ANSI RF flange

Environment

• Temperature -20ºC ~ +55ºC / -4ºF ~ +131ºF

• Humidity ≤85%

• Pressure 86~106 kPa

Power Supply• 2-wire loop powered: for 4~20mA or HART output only. Loop power supply 24VDC.

• External Power supply, 24VDC/50mA

Protection Class IP65

SPECIFICATIONS



DRAWING – WAFER TYPE

Caliber L D K H Weightmm in mm in mm in mm in mm in kg lbs

25 1” 66 2.6” 85 3.3” 115 4.5” 443 17.4” 12 27

40 1½” 80 3.1” 110 4.3” 145 5.7” 458 18” 13 29

50 2” 80 3.1” 125 4.9” 160 6.3” 470 18.5” 14 31

65 2½” 92 3.6” 145 5.7” 180 7” 488 19.2” 20 44

80 3” 100 4” 160 6.3” 195 7.7” 504 20” 22 49

100 4” 125 5” 180 7” 215 8.5” 533 21” 23 51

125 5” 158 6.2” 210 8.3” 245 9.6” 558 22” 26 57

150 6” 165 6.5” 240 9.4” 280 11” 585 23” 28 62

200 8” 197 7.8” 295 11.6” 335 13” 643 25.3” 62 137

250 10” 115 4.5” 355 14” 405 16” 708 28” 75 165

300 12” 127 5” 410 16” 460 18” 765 30” 86 190

The wafer-type vortex flow meter, 602VFM-W, does not have flanges on both ends of the flow sensor. It is designed to be easily connected to a pipe line by using the existing flanges of the pipe line with bolts and nuts (refer to the figure below). If there is no flange on the pipe line, a pair of dedicated flanges can be welded on to the pipe line before the installation. Spire Metering can supply the dedicated flanges upon request.

Table 1: Dimension of Wafer-type Vortex Flowmeter

Ø104

125

H

LDK



Size L1(mm)

L2(mm)

D1(mm)

D2(mm)

H(mm)

D3(mm) N Weight

(kg)Pressure

(MPa)

25 66 94 100 75 443 12 4 12

2.5

40 80 112 130 100 458 14 4 13

50 80 112 140 110 470 14 4 14

65 92 128 160 130 488 14 4 20

80 100 140 185 150 504 18 4 22

100 125 165 215 180 533 18 8 23

1.6125 158 202 245 210 558 18 8 26

150 165 213 280 240 585 23 8 28

200 197 249 335 295 643 23 12 62

250 115 175 390 350 708 23 12 751.0

300 127 187 440 400 765 23 12 86

Size L1(in)

L2(in)

D1(in)

D2(in)

H(in)

D3(in) N Weight

(lbs)

1” 2.6 3.8 4.3 3.1 17.3 0.6 4 30.8

1½” 3.1 4.6 5.0 3.9 17.7 0.6 4 33.0

2” 3.1 4.7 6.0 4.8 18.3 0.7 4 35.2

2½” 3.6 5.4 7.0 5.5 19.1 0.7 4 50.7

3” 3.9 5.8 7.5 6.0 19.7 0.7 4 55.1

4” 4.9 6.8 9.0 7.5 21.3 0.7 8 61.7

5” 6.2 8.1 10.0 8.5 22.1 0.9 8 68.3

6” 6.5 8.5 11.0 9.5 23.0 0.9 8 70.5

8” 7.8 10.0 13.5 11.8 25.4 0.9 8 154.2

10” 4.5 6.9 16.0 14.3 27.9 1.0 12 180.6

12” 5.0 7.5 19.0 17.0 30.6 1.0 12 198.2

Table 2: Dimension of Wafer-type Vortex Flowmeter with Companion DIN Flange

Table 3: Dimension of Wafer-type Vortex Flowmeter with Companion ANSI RF#150 Flange

Ø104

125

H

L1

D1 D2

D3

NBolts No.

L2

Connecting

Detector

Joint Lever

Sensor Housing

Special Flange



DRAWING – FLANGE TYPE

This type of flowmeter has flanges built on both ends of the spool-piece. The flanges could be made according to DIN or ANSI standard.

Size D1(mm)

L(mm)

D3(mm)

B(mm)

C(mm)

d(mm) n Weight

(kg)Pressure

(MPa)

25 25 170 100 75 18 12 4 15

2.5

40 40 190 130 100 20 14 4 20

50 50 190 140 110 22 14 4 21

65 65 220 160 130 24 14 4 27

80 80 220 185 150 24 18 4 30

100 100 240 215 180 26 18 8 32

1.6125 125 260 245 210 28 18 8 35

150 150 280 280 240 28 23 8 38

200 200 300 335 295 30 23 12 70

250 250 360 390 350 32 23 12 861.0

300 300 400 440 400 32 23 12 95

Table 4: Dimension of Flange-type Vortex Flowmeter with DIN Flange

Size D1(in)

L(in)

D3(in)

B(in)

C(in)

d(in) n Weight

(lbs)

1” 1.0 6.7 4.3 3.1 0.6 0.6 4 44.1

1½” 1.6 7.5 5.0 3.9 0.7 0.6 4 55.1

2” 2.0 7.5 6.0 4.8 0.8 0.7 4 61.7

2½” 2.6 8.7 7.0 5.5 0.9 0.7 4 70.5

3” 3.1 8.7 7.5 6.0 0.9 0.7 4 77.1

4” 3.9 9.4 9.0 7.5 0.9 0.7 8 85.9

5” 4.9 10.2 10.0 8.5 0.9 0.9 8 99.1

6” 5.9 11.0 11.0 9.5 1.0 0.9 8 105.7

8” 7.9 11.8 13.5 11.8 1.1 0.9 8 176.2

10” 9.8 14.2 16.0 14.3 1.2 1.0 12 202.6

12” 11.8 15.7 19.0 17.0 1.3 1.0 12 226.9

Table 5: Dimension of Flange-type Vortex Flowmeter with ANSI RF#150 Flange

nx Ø d

B

D1

D3

CL

High Temperature, -20°C~350°C / -40°F~662°F

50°C / -40°F~482°F (Default)Standard Temperature, -20°C~



HOW TO ORDER

Connection Type

Flange Type F

Wafer Type W

Unit System

Metric Unit System DN

English Unit System IN

Pressure Rating

2.5MPa (for DIN and size <DN100) A

1.6MPa / ANSI 150lb B

1.0MPa (for DIN and size >DN200) C

Other, please specifiy D

Temperature Rating

2 1

2

Flange

No flange (for Wafer type only) 0

DIN flange 1

ANSI RF#150 flange 2

Other, please specify 3

Medium PressurePlease specify the acutal

pressure range in psi if Unit System is IN or MPa if Unit

System is DN

Medium TemperaturePlease specify the acutal

temperature range in degF if Unit System is IN or degC if Unit

System is DN

Medium Type

A Air and compressed air

B Gas. Please specify which kind

C Saturated Steam

D Superheated Steam

Enclosure

1 IP65, integral (default)

2 Other, please specify

Output

A 4~20mA, 2-wire (Default)

B Pulse and 4~20mA

C Pulse and RS485 / Modbus

D HART, 2-wire

602VFM- - - - - - - - - -

Accessories

External Adapter Model No.

485-USB (to connect to a PC) WA-485USB

485-Ethernet (to connect to an Ethernet network) WA-485Ether

485-BACnet / IP (to connect to a BACnet network) WA-BACIP

485-LonWorks (to connect to a LonWorks network) WA-LONW

Calibre

DN15 (½”) 0015 (0050)

DN20 (¾”) 0020 (0075)

DN25 (1”) 0025 (0100)

...... ......

DN300 (12”) 0300 (1200)



Other Ordering Information Required

Application Example:

(1) Fluid Information What type of fluid (air, N2, or steam or superheated steam)? What are the viscosity and density of the fluid? What are the process pressure and temperature ranges?

(2) Flow Information The calibrated velocity range of our vortex flowmeter is 4m/s~70m/s (13~230ft/s).

However, detailed information on the actual flowrate range, the size of the process pipe and straight pipe run will be beneficial.

(3) Pipe Joint Information For wafer type, we may provide companion flanges, upon request, which will be welded to

the pipe during installation. Therefore, please advise the material of your process pipe. We will make the companion flanges to match your pipe material.

Regarding bolts and screws, for wafer type, we will provide those with the companion flanges if ordered. But for flange type, as all bolts and screws are standard parts, we will not provide them. You may buy them locally to save cost.

In order for us to recommend the right product for your specific application, please provide the following information

Saturated steam, process pressure 0.8MPa. Flow rate: 800~4000kg/hr. 4” wafer process connection. RS485 / Modbus and PULSE outputs, 24VDC power supply

Check velocity range:In 0.8MPa (116psig), the density of saturated steam is about 4.162kg/m3 (170°C or 338°F)800kg/hr ≥ 192m3/hr = 6.8m/s4000kg/hr ≥ 961m3/hr = 34m/sThe velocity is within our standard measurement range of 4~70m/s

Model#: 602VFM-W-IN004-B-2-0-C-1-C-338F-116psi



Appendix I: How to Determine Operational Flowrate Range for Gas Flow

The flowrate range listed in the above table is for air at standard temperature and pressure (20°C and 101325Pa). If the working medium is not in such condition, the flowrate range will be different because it is dependent on the medium’s density and viscosity.

In general, the maximum flowrate of a vortex flow meter does not depend on the temperature and pressure of the medium- only dose the minimum flowrate. The following formula can be used to calculate the working condition minimum flowrate.

Here:Qp : The minimum flowrate at working conditionQ0 : The minimum flowrate at reference condition (such as 20°C and 101325Pa), m3/hρo : Reference medium (air) density at reference condition, ρo =1.205kg/m³ ρ : Medium density under working condition

The minimum flowrate at working condition should also be calculated according to its kinematic viscosity,

Here:Qv : The minimum flowrate at working condition Qo : The minimum flowrate at reference condition (such as 20°C and 101325Pa), m3/hVo : Reference medium (air) viscosity at reference condition, 15kgm/S²V : Medium viscosity under working condition (kgm/S²)

Finally, the minimum flowrate at working condition can be determined by choosing the larger one between Qo and Qv.

Qp = Q0 √ρo / ρ (m3/h)

Qv = Qo × v / vo (m3/h)

Table A1: Flow Rate Range and Pressure Rating for Gas

SizeNormal Flow Rate Range* Extended Flow Rate Range*

(m3/h) (scfm) (m3/h) (scfm)

DN 25 (1”) 8-80 4.7-47 8-120 4.7-71

DN 40 (1½”) 20-200 11.7-117 18-300 10.6-177

DN 50 (2”) 30-300 13-177 30-500 17.7-294

DN 65 (2½”) 50-500 29-294 50-900 29.3-530

DN 80 (3”) 80-1000 47-588 60-1200 35.3-706

DN 100 (4”) 100-1000 58-588 100-2000 58.6-1177

DN 125 (5”) 150-1600 88-941 150-3000 88-1766

DN 150 (6”) 250-2500 147-1471 200-4000 118-2354

DN 200 (8”) 400-4000 235-2354 350-8000 206-4709

DN 250 (10”) 600-6000 353-3531 500-12000 294-7063

DN 300 (12”) 1000-10000 588-5885 600-18000 353-10594

*Note: Normal / Extended Flow Rate Rang is based on air at t=20°C with pressure of 101325Pa



Appendix II: How to Determine Operational Flowrate Range for Steam Flow

Before selecting the right vortex flowmeter, you may need to find out the operational flowrate range of your application first.

For superheated steam flow, find the pressure, temperature and corresponding density from Table A2 or Table A3. For saturated steam, find the maximum and minimum flowrate from Table A4-1 or A4-2.

Table A2: Density (kg/m3) for Superheated Steam

Table A3: Specific Volume (ft3/lb) for Superheated Steam

Absolute Pressure(MPa)

Temperature (Celsius)150 200 250 300 350 400

0.1 0.52 0.46 0.42 0.380.15 0.78 0.70 0.62 0.57 0.52 0.490.2 1.04 0.93 0.83 0.76 0.69 0.65

0.25 1.31 1.16 1.04 0.95 0.87 0.810.33 1.58 1.39 1.25 1.14 1.05 0.970.35 1.85 1.63 1.46 1.33 1.22 1.130.4 2.12 1.87 1.68 1.52 1.40 1.290.5 2.35 2.11 1.91 1.75 1.620.6 2.84 2.54 2.30 2.11 1.950.7 3.33 2.97 2.69 2.46 2.270.8 3.83 3.41 3.08 2.82 2.601.0 4.86 4.30 3.88 3.54 3.261.2 5.91 5.20 4.67 4.26 3.921.5 7.55 6.58 5.89 5.36 4.932.0 8.968 7.97 7.21 6.622.5 11.5 10.1 9.11 8.333.0 14.2 12.3 11.1 10.13.5 17.0 14.6 13.0 11.84.0 17.0 15.1 13.6

Absolute Pressure(psig)

Temperature (Fahrenheit)302 392 482 572 662 752

14.5 30.805 34.823 38.139 42.15421.8 20.536 22.884 25.836 28.103 30.805 32.69129.0 15.402 17.224 19.299 21.077 23.215 24.64436.3 12.228 13.809 15.402 16.862 18.412 19.77647.9 10.138 11.524 12.815 14.051 15.256 16.51450.8 8.659 9.827 10.972 12.044 13.130 14.17658.0 7.556 8.566 9.535 10.538 11.442 12.41772.5 6.816 7.592 8.387 9.153 9.88887.0 5.640 6.306 6.965 7.592 8.215

101.5 4.810 5.393 5.955 6.512 7.057116.0 4.182 4.697 5.201 5.680 6.161145.0 3.296 3.725 4.128 4.525 4.914174.0 2.710 3.080 3.430 3.760 4.086217.6 2.122 2.434 2.720 2.989 3.249290.1 1.786 2.010 2.222 2.420362.6 1.393 1.586 1.758 1.923435.1 1.128 1.302 1.443 1.586507.6 0.942 1.097 1.232 1.357580.2 0.942 1.061 1.178



Table A4-1: Saturated steam mass flow range table (kg/h)

Abs Pressure (MPa)Temperature (Celsius)Density (kg/m³)

0.2120.21.129

0.3133.51.651

0.4143.622.163

0.5151.842.669

0.6158.943.170

0.7158.942.669

0.8170.414.162

0.9175.364.665

1.0179.685.147

1.2187.966.127

1.4195.047.106

1.6201.378.085

1.8207.119.065

2.0212.3710.05

DN25 Qmin QMaxMeasurable Up LimitMeasurable Low Limit

149313614

1713319817

1917326019

2121532021

2325438023

2529344025

2733349927

2837255928

3041261830

3349073533

3556885335

3764797037

39725108839

42804120642


3523340032

4233249838

4843364944

5453480148

5963495153

63733110057

67832124960

71931139764

751029154467

821225183873

881421213279

941617242684

991813272089

1042010301594


5240066752

6449882664

73649108073

81801133581

88951158588

951100183495

10012492081100

10713972328107

11215442574112

12218383054122

13221323553132

14024264043140

14927204533149

15730155025157


8866793388

1068261320106

12110801730121

13513352135135

14715852536147

15818342934158

16820813330168

17823283724178

18725744118187

20430544902204

22035535685220

23440436468234

24845337252248

26150258040261


14011661400105

17016501980127

19421602596145

21527003240161

23531704015176

25236604644189

26941605270201

28446555896213

29951506520224

32661307760345

35071009000263

375908010240280

397906011480298

4181000012730313

DN100 Qmin QMax Measurable Up LimitMeasurable Low Limit

17511662332175

21216503300212

24221604320242

26927005400269

29331706430293

31536607320315

33641608320336

35546559310355

374515010300374

408613012260408

439710014200439

468808016160468

496906019120496

5221005020100522


26218663500262

31726404950317

36334606490363

40442708000404

44050709510440

473587011000473

504666012500504

533745014000533

560824015440560

611980018400611

6581137021300658

7021294024260702

7441450027200744

7831608030200783


43726924666350

52941306600423

60554088650484

673667010680538

73379301268586

788917014670631

8401040016650672

8881164018620711

9341287020590747

10911532024500815

10971777028420878

11712021032340936

12392266036260990

130525120402001044


70046669330610

847660013200740

969865017300848

10761068021360942

117312680253601026

126114670293401104

134416650333001176

142118620372401243

149420590411801308

163024500470001427

175628420568501536

187332240646801638

198336260725201735

208840200804001827


1050699813997875

12709906198101056

161412980259601210

175916010320301345

189219020380401466

201622000440001577

213224970499401680

224127930558601776

144630880617601868

263436760735202038

280842640852702195

145348500970002340

2975543901087802480

3132603001206002610


175011664209951050

211616510297201270

242221630389301453

269026690480401614

293231700570501759

315336670660001892

335941620749002016

355046550838002132

373651470926502241

4076612701103002446

4389710101279002634

4682808501455302808

4958906501632002975

52201005001809003132



Spire Metering is a global leader in flow and energy management solutions. Through continuous innovation, we transform complex technology into affordable, reliable solutions for accurate flow and energy measurement. Spire Metering offers water, heat, electricity and gas meters as well as AMR/AMI solutions. To find out how we can help today, please tell us about your application.

About Spire Metering Technology

Table A4-2: Saturated steam mass flow range table (lb/h)

Abs Pressure (psig)Temperature (Fahrenheit)Specific Volume (ft3/lb)

29.0248.414.188

43.5272.39.702

58.0290.57.406

72.5305.36.002

87.0318.15.053

101.5318.16.002

116.0338.73.849

130.5347.63.434

145.0355.43.112

174.0370.32.614

203.1383.12.254

232.1394.51.981

261.1404.81.767

290.1414.31.594


30.9205.0299.830.9

37.5293.2436.537.5

41.9381.4573.241.9

46.3474.0705.546.3

50.7560.0837.850.7

55.1646.0970.055.1

59.5734.11100.159.5

61.7820.11232.461.7

66.1908.31362.566.1

72.81080.31620.472.8

77.21252.21880.577.2

81.61426.42138.581.6

86.01598.32398.686.0

92.61772.52658.892.6


77.2513.7881.870.5

92.6731.91097.983.8

105.8954.61430.897.0

119.01177.31765.9105.8

130.11397.72096.6116.8

138.91616.02425.1125.7

147.71834.22753.6132.3

156.52052.53079.9141.1

165.32268.63403.9147.7

180.82700.74052.1160.9

194.03132.84700.2174.2

207.23564.95348.4185.2

218.33997.05996.6196.2

229.34431.36646.9207.2


114.6881.81470.5114.6

141.11097.91821.0141.1

160.91430.82381.0160.9

178.61765.92943.2178.6

194.02096.63494.3194.0

209.42425.14043.3209.4

220.52753.64587.8220.5

235.93079.95132.4235.9

246.93403.95674.7246.9

269.04052.16732.9269.0

291.04700.27833.0291.0

308.65348.48913.3308.6

328.55996.69993.5328.5

346.16646.911078.2346.1


194.01470.52056.9194.0

233.71821.02910.1233.7

266.82381.03814.0266.8

297.62943.24706.9297.6

324.13494.35590.9324.1

348.34043.36468.4348.3

370.44587.57341.4370.4

392.45132.48210.0392.4

412.35674.79078.6412.3

449.76732.910807.0449.7

485.07833.012533.3485.0

515.98913.314259.5515.9

546.79993.515987.9546.7

575.411078.217725.1575.4


308.62570.63086.5231.5

374.83637.64365.1280.0

427.74762.05723.2319.7

474.05952.57143.0354.9

518.16988.68851.5388.0

555.68068.910238.3416.7

593.09171.211618.3443.1

626.110262.512998.4469.6

659.211353.814374.1493.8

718.713514.317107.9760.6

771.615652.819841.6579.8

826.720017.922575.3617.3

875.219973.925309.0657.0

921.522046.228064.8690.0


385.82570.65141.2385.8

467.43637.67275.2467.4

533.54762.09524.0533.5

593.05952.511904.9593.0

646.06988.614175.7646.0

694.58068.916137.8694.5

740.89171.218342.4740.8

782.610262.520525.0782.6

824.511353.822707.6824.5

899.513514.327028.6899.5

967.815652.831305.6967.8

1031.817813.335626.71031.8

1093.519973.942152.31093.5

1150.822156.444312.91150.8


577.64133.87716.2577.6

698.95820.210912.9698.9

800.37628.014308.0800.3

890.79413.717637.0890.7

970.011177.420965.9970.0

1042.812941.124250.81042.8

1111.114682.827557.81111.1

1175.116424.430864.71175.1

1234.618166.134039.31234.6

1347.021605.340565.01347.0

1450.625066.546958.41450.6

1547.628527.853484.11547.6

1640.231967.059965.71640.2

1726.235450.366579.51726.2


963.45934.810286.8771.6

1166.29105.114550.5932.6

1333.811922.619070.01067.0

1483.714704.823545.31186.1

1616.017482.62795.51291.9

1737.220216.432341.81391.1

1851.922928.036706.91481.5

1957.725661.841050.01567.5

2059.128373.545393.11646.9

2405.233774.854013.21796.8

2418.539176.162655.31935.7

2581.644555.471297.42063.5

2731.545547.579939.52182.6

2877.055380.188625.72301.6


1543.210286.820569.11344.8

1867.314550.529101.01631.4

2136.319070.038139.91869.5

2372.223545.347090.72076.8

2586.027954.655909.22261.9

2780.032341.864683.62433.9

2963.036706.973413.82592.6

3132.841050.082100.02740.3

3293.745393.90786.32883.6

3593.554013.2103617.13146.0

3871.362655.3125332.63386.3

4129.371076.9142594.83611.2

4371.879939.5159879.03825.0

4603.288625.7177251.44027.8


2314.915427.930858.11929.0

2799.921839.043673.52328.1

3558.328616.057231.92667.6

3877.935296.057231.92667.6

4171.141931.983863.73232.0

4444.548501.697003.33476.7

4700.255049.4110098.73703.8

4940.661575.0123150.13915.4

3187.968078.7136157.34118.2

5807.081041.8162083.74493.0

6190.694005.018987.94839.1

3203.3106924.1213848.15158.8

6558.7119909.3239818.65467.5

6904.9132938.6265877.25754.1


3858.125714.746286.02314.9

4665.036398.365521.32799.9

5339.647685.985825.93203.3

5930.458841.3105909.93558.3

6463.969886.5125773.63877.9

6951.280843.4145504.94171.1

7405.391756.3165126.04444.5

7826.4102625.1184747.24700.2

8236.5113471.8204258.04940.6

8986.0135077.1243169.65392.5

9676.1156550.1281970.95807.0

10322.0178243.5320838.36190.6

10930.5199848.8359794.46558.7

11508.1221564.6398815.86904.9

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