Stud Bolts Weight Chart

Stud Bolts Weight Chart – Complete Technical Guide for Engineers & Buyers

Introduction: Why Stud Bolt Weight Matters in Engineering Projects

In industrial fastening, stud bolts are not just fasteners—they are load-carrying structural components. From oil & gas pipelines and pressure vessels to refineries, power plants, and offshore platforms, stud bolts are critical to joint integrity. One of the most overlooked yet extremely important aspects of stud bolt selection is stud bolt weight.

Understanding a stud bolts weight chart is essential for:

  • Accurate project cost estimation
  • Logistics and shipment planning
  • Structural load calculations
  • Inventory management
  • Compliance with engineering drawings and international standards

At Super Industries India, we manufacture and export high-precision stud bolts in accordance with ASTM, ASME, DIN, ISO, and customer-specific standards. This guide explains how stud bolt weight is calculated, provides standard weight charts, and helps engineers select the correct stud bolt for their application.


What Is a Stud Bolt?

A stud bolt is a fully threaded or partially threaded rod designed to be used with two nuts, typically for flange connections. Unlike standard bolts, stud bolts do not have a head, which allows:

  • Uniform stress distribution
  • Better performance under high pressure and temperature
  • Easier installation and removal in confined spaces

Stud bolts are widely used in:

  • Flange joints
  • Heat exchangers
  • Pressure vessels
  • Pumps and valves
  • Offshore and marine structures

Why Stud Bolt Weight Is Important

1. Structural Load Calculations

In large projects, thousands of stud bolts may be used. The total fastener weight contributes to:

  • Pipe rack load
  • Equipment dead load
  • Offshore platform weight calculations

2. Logistics & Export Planning

For international shipments, stud bolt weight affects:

  • Freight cost
  • Container planning
  • Packing list accuracy

3. Cost Estimation & Procurement

Stud bolts are often priced per kilogram. Knowing the exact weight avoids:

  • Over-ordering
  • Budget overruns
  • Inventory mismatch

Factors That Affect Stud Bolt Weight

Stud bolt weight is not arbitrary. It depends on multiple engineering parameters:

1. Nominal Diameter

Larger diameters mean:

  • More material
  • Higher tensile capacity
  • Increased weight

2. Length

Stud bolt length varies based on:

  • Flange thickness
  • Gasket thickness
  • Nut height
  • Washer allowance

Even a small increase in length significantly affects weight in larger diameters.

3. Material Density

Different materials have different densities:

MaterialApprox. Density (g/cm³)
Carbon Steel7.85
Alloy Steel7.85
Stainless Steel 304/3167.9–8.0
Duplex Steel~7.8
Inconel / Nickel Alloys8.2–8.9

Standard Formula for Stud Bolt Weight Calculation

Theoretical weight is calculated using the formula:

Weight (kg) = Volume × Density

For stud bolts, the simplified industry formula is:

Weight (kg) = (π / 4) × D² × L × Density

Where:

  • D = Nominal diameter (mm)
  • L = Length (mm)
  • Density = Material density (kg/mm³)

In practice, standardized stud bolt weight charts are used for speed and accuracy.


Stud Bolts Weight Chart – Metric Sizes (Carbon Steel)

Approximate Weight Per Piece

Diameter (mm)Length (mm)Weight (kg)
M161000.16
M161500.24
M201000.25
M201500.38
M241000.45
M241500.68
M271500.95
M301501.25
M331801.85
M362002.60
M422504.20
M483006.50

Note: Weights are indicative and vary based on thread tolerance, material grade, and standard.


Stud Bolts Weight Chart – Inch Sizes (ASTM / ASME)

Approximate Weight Per Piece

Size (Inch)Length (Inch)Weight (kg)
½″4″0.14
¾″5″0.38
1″6″0.82
1¼″7″1.45
1½″8″2.30
1¾″9″3.40
2″10″4.90
2¼″12″7.10
2½″14″10.20
3″16″17.80

These sizes are commonly used in:

  • ASME B16.5 flanges
  • Oil & gas pipelines
  • Refinery equipment

Stud Bolt Weight per Meter (Reference)

For quick estimation, engineers often use weight per meter.

DiameterApprox. Weight (kg/m)
M161.58
M202.47
M243.55
M305.55
M367.99
M4210.80
M4814.20

This method is useful for:

  • Bulk orders
  • Long stud rods
  • Custom cut-to-length studs

Weight Difference by Material

Example: M24 × 150 mm Stud Bolt

MaterialApprox. Weight
Carbon Steel0.68 kg
Stainless Steel 3040.70 kg
Stainless Steel 3160.71 kg
Duplex Steel0.67 kg
Inconel 6250.77 kg

Material selection affects not only corrosion resistance but also overall system weight.


Stud Bolt Weight with Nuts Included

In real applications, stud bolts are supplied with two heavy hex nuts. Below is a practical reference:

Stud SizeStud Weight (kg)2 Nuts Weight (kg)Total Set Weight (kg)
M200.380.200.58
M240.680.341.02
M301.250.701.95
M362.601.103.70
M424.201.906.10

This is critical for:

  • Packing lists
  • Shipping calculations
  • EPC documentation

Standards Covered by Stud Bolt Weight Charts

At Super Industries India, we manufacture stud bolts according to:

  • ASTM A193 / A194
  • ASTM A320 (low temperature)
  • DIN 976
  • ISO 898 / ISO 4032
  • ASME B16.5 / B16.47 flange requirements

Each standard may have minor dimensional differences, affecting weight slightly.


How Engineers Use Stud Bolt Weight Charts

1. Flange Joint Design

Weight charts help engineers ensure:

  • Correct bolt preload
  • Uniform flange loading

2. Project BOQ Preparation

Accurate stud bolt weight prevents:

  • Underestimation of steel quantity
  • Cost escalation

3. Export Documentation

Customs and logistics require:

  • Exact net and gross weights

Common Mistakes to Avoid

❌ Assuming all stud bolts of same diameter weigh the same
❌ Ignoring material density differences
❌ Forgetting nut weight
❌ Using approximate lengths instead of actual grip length


Customized Stud Bolt Weight Calculation – Super Industries India

Every project is unique. We provide:

  • Custom stud bolt weight calculations
  • Project-specific weight charts
  • Excel & PDF weight sheets
  • Packing-wise weight breakup

Our engineering team supports:

  • EPC contractors
  • Refineries
  • Power projects
  • Offshore platforms
  • Export buyers

Why Choose Super Industries India

✔ Precision manufacturing
✔ International standards compliance
✔ Export-ready documentation
✔ Customized stud bolts & weight charts
✔ Bulk & project supply capability


Conclusion

A stud bolts weight chart is not just a reference table—it is a critical engineering and commercial tool. Accurate weight data ensures:

  • Safe structural design
  • Optimized logistics
  • Controlled project costs

At Super Industries India, we don’t just manufacture stud bolts—we provide engineering confidence, data accuracy, and global supply reliability.

For custom stud bolt weight charts, project requirements, or export inquiries, contact Super Industries India.

d/lWEIGHT (Kg) PER 1 PIECE Stud Bolt
mm(L)inch(L)3/87/161/29/165/83/47/811.1/81.1/41.3/81.1/21.5/81.3/4
5020.0540.0730.1080.1350.1720.2790.4000.5540.7470.9601.2291.5431.9502.333
552.1/40.0560.0760.1130.1400.1780.2890.4130.5710.7680.9881.2631.5831.9972.389
602.3/80.0580.0790.1170.1450.1840.2980.4250.5870.7901.0151.2961.6232.0452.444
652.1/20.0610.0820.1210.1500.1910.3070.4380.6040.8121.0421.3291.6632.0922.500
702.3/40.0630.0850.1250.1550.1970.3170.4510.6210.8331.0691.3621.7032.1392.555
7530.0650.0870.1290.1600.2030.3260.4640.6380.8551.0961.3961.7432.1872.611
803.1/80.0670.0900.1330.1650.2100.3350.4770.6550.8761.1231.4291.7832.2342.666
853.1/40.0690.0930.1370.1700.2160.3450.4890.6710.8981.1511.4621.8232.2822.722
903.1/20.0710.0960.1410.1740.2220.3540.5020.6880.9201.1781.4951.8632.3292.777
953.3/40.0740.0990.1450.1790.2290.3630.5150.7050.9411.2051.5291.9032.3762.833
10040.0760.1020.1490.1840.2350.3730.5280.7220.9631.2321.5621.9432.4242.888
1054.1/80.0780.1050.1530.1890.2420.3820.5410.7390.9851.2591.5951.9832.4712.944
1104.1/40.0800.1080.1570.1940.2480.3910.5530.7551.0061.2861.6282.0232.5192.999
1154.1/20.0820.1110.1610.1990.2540.4010.5660.7721.0281.3131.6622.0632.5663.055
1204.3/40.0840.1140.1650.2040.2610.4100.5790.7891.0501.3411.6952.1032.6133.110
12550.0860.1170.1690.2090.2670.4200.5920.8061.0711.3681.7282.1432.6613.166
1305.1/80.0890.1200.1730.2140.2730.4290.6050.8231.0931.3951.7612.1832.7083.221
1355.1/40.0910.1230.1770.2190.2800.4380.6170.8391.1151.4221.7952.2232.7563.277
1405.1/20.0930.1260.1810.2240.2860.4480.6300.8561.1361.4491.8282.2632.8033.33
1455.3/40.0950.1280.1850.2290.2920.4570.6430.8731.1581.4761.8612.3042.8503.388
15060.0970.1310.1890.2340.2990.4660.6560.8901.1801.5031.8942.3442.8983.443
1556.1/80.0990.1340.1930.2390.3050.4760.6690.9071.2011.5311.9282.3842.9453.499
1606.1/40.1020.1370.1970.2440.3110.4850.6810.9231.2231.5581.9612.4242.9933.554
1656.1/20.1040.1400.2010.2490.3180.4940.6940.9401.2451.5851.9942.4643.0403.610
1706.3/40.1060.1430.2050.2540.3240.5040.7070.9571.2661.6122.0272.5043.0873.665
1756.7/80.1080.1460.2090.2590.3300.5130.7200.9741.2881.6392.0612.5443.1353.721
18070.1100.1490.2130.2640.3370.5220.7330.9911.3091.6662.0942.5843.1823.776
1857.1/40.1120.1520.2170.2690.3430.5320.7451.0071.3311.6942.1272.6243.2303.832
1907.1/20.1140.1550.2210.2740.3490.5410.7581.0241.3531.7212.1602.6643.2773.887
1957.3/40.1170.1580.2250.2790.3560.5500.7711.0411.3741.7482.1942.7043.3243.943
2007.7/80.1190.1610.2290.2840.3620.5600.7841.0581.3961.7752.2272.7443.3723.998
20580.1210.1640.2330.2890.3690.5690.7971.0751.4181.8022.2602.7843.4194.054
2108.1/40.1230.1670.2370.2940.3750.5780.8091.0911.4391.8292.2932.8243.4674.109
2158.1/20.1250.1690.2410.2990.3810.5880.8221.1081.4611.8562.3272.8643.5144.165
2208.3/40.1270.1720.2450.3040.3880.5970.8351.1251.4831.8842.3602.9043.5614.220
2258.7/80.1300.1750.2490.3090.3940.6070.8481.1421.5041.9112.3932.9443.6094.276
23090.1320.1780.2530.3140.4000.6160.8611.1591.5261.9382.4262.9843.6564.331
2359.1/40.1340.1810.2570.3190.4070.6250.8731.1751.5481.9652.4603.0243.7044.387
2409.1/20.1360.1840.2610.3240.4130.6350.8861.1921.5691.9922.4933.0643.7514.442
2459.5/80.1380.1870.2650.3290.4190.6440.8991.2091.5912.0192.5263.1053.7984.498
2509.3/40.1400.1900.2690.3340.4260.6530.9121.2261.6132.0462.5593.1453.8464.553
255100.1420.1930.2740.3390.4320.6630.9251.2431.6342.0742.5933.1853.8934.609
26010.1/40.1450.1960.2780.3440.4380.6720.9371.2591.6562.1012.6263.2253.9414.664
26510.1/20.1470.1990.2820.3490.4450.6810.9501.2761.6782.1282.6593.2653.9884.720
27010.5/80.1490.2020.2860.3540.4510.6910.9631.2931.6992.1552.6923.3054.0354.775
27510.3/40.1510.2050.2900.3590.4570.7000.9761.3101.7212.1822.7263.3454.0834.831
d/l 3/87/161/29/165/83/47/811.1/81.1/41.3/81.1/21.5/81.3/4
280110.1530.2080.2940.3640.4640.7090.9891.3271.7422.2092.7593.3854.1304.886
28511.1/40.1550.2100.2980.3690.4700.7191.0011.3431.7642.2372.7923.4254.1784.942
29011.1/20.1580.2130.3020.3740.4760.7281.0141.3601.7862.2642.8253.4654.2254.997
29511.5/80.1600.2160.3060.3790.4830.7371.0271.3771.8072.2912.8593.5054.2725.053
30011.3/40.1620.2190.3100.3840.4890.7471.0401.3941.8292.3182.8923.5454.3205.108
305120.1640.2220.3140.3890.4960.7561.0531.4111.8512.3452.9253.5854.3675.164
31012.1/40.1660.2250.3180.3940.5020.7651.0651.4271.8722.3722.9583.6254.4155.219
31512.1/20.1680.2280.3220.3990.5080.7751.0781.4441.8942.3992.9923.6654.4625.275
32012.5/80.1700.2310.3260.4040.5150.7841.0911.4611.9162.4273.0253.7054.5095.330
32512.3/40.1730.2340.3300.4090.5210.7941.1041.4781.9372.4543.0583.7454.5575.386
330130.1750.2370.3340.4140.5270.8031.1171.4951.9592.4813.0913.7854.6045.441
33513.1/40.1770.2400.3380.4190.5340.8121.1291.5111.9812.5083.1253.8254.6525.497
34013.3/80.1790.2430.3420.4240.5400.8221.1421.5282.0022.5353.1583.8654.6995.552
34513.1/20.1810.2460.3460.4290.5460.8311.1551.5452.0242.5623.1913.9064.7465.608
35013.3/40.1830.2490.3500.4340.5530.8401.1681.5622.0462.5893.2243.9464.7945.663
355140.1860.2510.3540.4390.5590.8501.1811.5792.0672.6173.2583.9864.8415.719
36014.1/40.1880.2540.3580.4440.5650.8591.1931.5952.0892.6443.2914.0264.8895.774
36514.3/80.1900.2570.3620.4490.5720.8681.2061.6122.1112.6713.3244.0664.9365.830
37014.1/20.1920.2600.3660.4540.5780.8781.2191.6292.1322.6983.3574.1064.9835.885
37514.3/40.1940.2630.3700.4590.5840.8871.2321.6462.1542.7253.3914.1465.0315.941
380150.1960.2660.3740.4640.5910.8961.2451.6632.1752.7523.4244.1865.0785.996
38515.1/40.1990.2690.3780.4690.5970.9061.2571.6792.1972.7803.4574.2265.1266.052
39015.3/80.2010.2720.3820.4740.6030.9151.2701.6962.2192.8073.4904.2665.1736.107
39515.1/20.2030.2750.3860.4790.6100.9241.2831.7132.2402.8343.5244.3065.2206.163
40015.3/40.2050.2780.3900.4830.6160.9341.2961.7302.2622.8613.5574.3465.2686.218
405160.2070.2810.3940.4880.6230.9431.3091.7472.2842.8883.5904.3865.3156.274
41016.1/40.2090.2840.3980.4930.6290.9521.3211.7632.3052.9153.6234.4265.3636.329
41516.3/80.2110.2870.4020.4980.6350.9621.3341.7802.3272.9423.6574.4665.4106.385
42016.1/20.2140.2900.4060.5030.6420.9711.3471.7972.3492.9703.6904.5065.4576.440
42516.3/40.2160.2920.4100.5080.6480.9811.3601.8142.3702.9973.7234.5465.5056.496
430170.2180.2950.4140.5130.6540.9901.3731.8312.3923.0243.7564.5865.5526.551
43517.1/80.2200.2980.4180.5180.6610.9991.3851.8472.4143.0513.7904.6265.6006.607
44017.1/40.2220.3010.4220.5230.6671.0091.3981.8642.4353.0783.8234.6665.6476.662
44517.1/20.2240.3040.4260.5280.6731.0181.4111.8812.4573.1053.8564.7075.6946.718
45017.3/40.2270.3070.4300.5330.6801.0271.4241.8982.4793.1323.8894.7475.7426.773
455180.2290.3100.4350.5380.6861.0371.4371.9152.5003.1603.9234.7875.7896.829
46018.1/80.2310.3130.4390.5430.6921.0461.4491.9312.5223.1873.9564.8275.8376.884
46518.1/40.2330.3160.4430.5480.6991.0551.4621.9482.5443.2143.9894.8675.8846.940
47018.1/20.2350.3190.4470.5530.7051.0651.4751.9652.5653.2414.0224.9075.9316.995
47518.3/40.2370.3220.4510.5580.7111.0741.4881.9822.5873.2684.0564.9475.9797.051
48018.7/80.2390.3250.4550.5630.7181.0831.5011.9992.6083.2954.0894.9876.0267.106
485190.2420.3280.4590.5680.7241.0931.5132.0152.6303.3234.1225.0276.0747.162
49019.1/40.2440.3310.4630.5730.7301.1021.5262.0322.6523.3504.1555.0676.1217.217
49519.1/20.2460.3330.4670.5780.7371.1111.5392.0492.6733.3774.1895.1076.1687.273
50019.3/40.2480.3360.4710.5830.7431.1211.5522.0662.6953.4044.2225.1476.2167.328
d/l 1.7/822.1/42.1/22.3/433.1/43.1/23.3/44    
5022.8303.3944.6676.2827.9539.76911.97015.49918.57922.948    
552.1/42.8943.4674.7616.3988.0949.93812.17315.73518.84423.253    
602.3/82.9583.5404.8546.5158.23610.10812.37515.97119.10923.557    
652.1/23.0223.6134.9486.6318.37710.27712.57816.20719.37423.862    
702.3/43.0863.6865.0416.7488.51910.44712.78016.44319.63924.166    
7533.1503.7595.1356.8648.66010.61612.98316.67919.90424.470    
803.1/83.2143.8325.2286.9818.80210.78613.18516.91520.16924.775    
853.1/43.2783.9055.3227.0978.94310.95513.38817.15120.43425.079    
903.1/23.3423.9785.4157.2149.08511.12513.59017.38720.69925.384    
953.3/43.4064.0515.5097.3309.22611.29413.79317.62320.96425.688    
10043.4704.1245.6027.4479.36811.46413.99517.85921.22925.992    
1054.1/83.5344.1975.6967.5639.50911.63314.19818.09521.49426.297    
1104.1/43.5984.2705.7897.6809.65111.80314.40018.33121.75926.601    
1154.1/23.6624.3435.8837.7969.79211.97214.60318.56722.02426.906    
1204.3/43.7264.4165.9767.9139.93412.14214.80518.80322.28927.210    
12553.7904.4896.0708.02910.07512.31115.00819.03922.55427.514    
1305.1/83.8544.5626.1638.14610.21712.48115.21019.27522.81927.819    
1355.1/43.9184.6356.2578.26210.35812.65015.41319.51123.08428.123    
1405.1/23.9824.7086.3508.37910.50012.82015.61519.74723.34928.428    
1455.3/44.0464.7816.4448.49510.64112.98915.81819.98323.61428.732    
15064.1104.8546.5378.61210.78313.15916.02020.21923.87929.036    
1556.1/84.1744.9276.6318.72810.92413.32816.22320.45524.14429.341    
1606.1/44.2385.0006.7248.84511.06613.49816.42520.69124.40929.645    
1656.1/24.3025.0736.8188.96111.20713.66716.62820.92724.67429.950    
1706.3/44.3665.1466.9119.07811.34913.83716.83021.16324.93930.254    
1756.7/84.4305.2197.0059.19411.49014.00617.03321.39925.20430.558    
18074.4945.2927.0989.31111.63214.17617.23521.63525.46930.863    
1857.1/44.5585.3657.1929.42711.77314.34517.43821.87125.73431.167    
1907.1/24.6225.4387.2859.54411.91514.51517.64022.10725.99931.472    
1957.3/44.6865.5117.3799.66012.05614.68417.84322.34326.26431.776    
2007.7/84.7505.5847.4729.77712.19814.85418.04522.57926.52932.080    
20584.8145.6577.5669.89312.33915.02318.24822.81526.79432.385    
2108.1/44.8785.7307.65910.01012.48115.19318.45023.05127.05932.689    
2158.1/24.9425.8037.75310.12612.62215.36218.65323.28727.32432.994    
2208.3/45.0065.8767.84610.24312.76415.53218.85523.52327.58933.298    
2258.7/85.0705.9497.94010.35912.90515.70119.05823.75927.85433.602    
23095.1346.0228.03310.47613.04715.87119.26023.99528.11933.907    
2359.1/45.1986.0958.12710.59213.18816.04019.46324.23128.38434.211    
2409.1/25.2626.1688.22010.70913.33016.21019.66524.46728.64934.516    
2459.5/85.3266.2418.31410.82513.47116.37919.86824.70328.91434.820    
2509.3/45.3906.3148.40710.94213.61316.54920.07024.93929.17935.124    
255105.4546.3878.50111.05813.75416.71820.27325.17529.44435.429    
26010.1/45.5186.4608.59411.17513.89616.88820.47525.41129.70935.733    
26510.1/25.5826.5338.68811.29114.03717.05720.67825.64729.97436.038    
27010.5/85.6466.6068.78111.40814.17917.22720.88025.88330.23936.342    
27510.3/45.7106.6798.87511.52414.32017.39621.08326.11930.50436.646    
d/l 1.7/822.1/42.1/22.3/433.1/43.1/23.3/44    
280115.7746.7528.96811.64114.46217.56621.28526.35530.76936.951    
28511.1/45.8386.8259.06211.75714.60317.73521.48826.59131.03437.255    
29011.1/25.9026.8989.15511.87414.74517.90521.69026.82731.29937.560    
29511.5/85.9666.9719.24911.99014.88618.07421.89327.06331.56437.864    
30011.3/46.0307.0449.34212.10715.02818.24422.09527.29931.82938.168    
305126.0947.1179.43612.22315.16918.41322.29827.53532.09438.473    
31012.1/46.1587.1909.52912.34015.31118.58322.50027.77132.35938.777    
31512.1/26.2227.2639.62312.45615.45218.75222.70328.00732.62439.082    
32012.5/86.2867.3369.71612.57315.59418.92222.90528.24332.88939.386    
32512.3/46.3507.4099.81012.68915.73519.09123.10828.47933.15439.690    
330136.4147.4829.90312.80615.87719.26123.31028.71533.41939.995    
33513.1/46.4787.5559.99712.92216.01819.43023.51328.95133.68440.299    
34013.3/86.5427.62810.09013.03916.16019.60023.71529.18733.94940.604    
34513.1/26.6067.70110.18413.15516.30119.76923.91829.42334.21440.908    
35013.3/46.6707.77410.27713.27216.44319.93924.12029.65934.47941.212    
355146.7347.84710.37113.38816.58420.10824.32329.89534.74441.517    
36014.1/46.7987.92010.46413.50516.72620.27824.52530.13135.00941.821    
36514.3/86.8627.99310.55813.62116.86720.44724.72830.36735.27442.126    
37014.1/26.9268.06610.65113.73817.00920.61724.93030.60335.53942.430    
37514.3/46.9908.13910.74513.85417.15020.78625.13330.83935.80442.734    
380157.0548.21210.83813.97117.29220.95625.33531.07536.06943.039    
38515.1/47.1188.28510.93214.08717.43321.12525.53831.31136.33443.343    
39015.3/87.1828.35811.02514.20417.57521.29525.74031.54736.59943.648    
39515.1/27.2468.43111.11914.32017.71621.46425.94331.78336.86443.952    
40015.3/47.3108.50411.21214.43717.85821.63426.14532.01937.12944.256    
405167.3748.57711.30614.55317.99921.80326.34832.25537.39444.561    
41016.1/47.4388.65011.39914.67018.14121.97326.55032.49137.65944.865    
41516.3/87.5028.72311.49314.78618.28222.14226.75332.72737.92445.170    
42016.1/27.5668.79611.58614.90318.42422.31226.95532.96338.18945.474    
42516.3/47.6308.86911.68015.01918.56522.48127.15833.19938.45445.778    
430177.6948.94211.77315.13618.70722.65127.36033.43538.71946.083    
43517.1/87.7589.01511.86715.25218.84822.82027.56333.67138.98446.387    
44017.1/47.8229.08811.96015.36918.99022.99027.76533.90739.24946.692    
44517.1/27.8869.16112.05415.48519.13123.15927.96834.14339.51446.996    
45017.3/47.9509.23412.14715.60219.27323.32928.17034.37939.77947.300    
455188.0149.30712.24115.71819.41423.49828.37334.61540.04447.605    
46018.1/88.0789.38012.33415.83519.55623.66828.57534.85140.30947.909    
46518.1/48.1429.45312.42815.95119.69723.83728.77835.08740.57448.214    
47018.1/28.2069.52612.52116.06819.83924.00728.98035.32340.83948.518    
47518.3/48.2709.59912.61516.18419.98024.17629.18335.55941.10448.822    
48018.7/88.3349.67212.70816.30120.12224.34629.38535.79541.36949.127    
485198.3989.74512.80216.41720.26324.51529.58836.03141.63449.431    
49019.1/48.4629.81812.89516.53420.40524.68529.79036.26741.89949.736    
49519.1/28.5269.89112.98916.65020.54624.85429.99336.50342.16450.040    
50019.3/48.5909.96413.08216.76720.68825.02430.19536.73942.42950.344   

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