DICHTOMATIK - Flupec · d1 d 2 Dimensions and tolerances Basic tolerances for O-rings DIN ISO 3601...

DICHTOMATIK

O-Rings

DICHTOMATIK

O-Rings

Albert-Schweitzer-Ring1 D-22045 HamburgP.O. Box 70 04 80 D-22004 HamburgPhone 040/66 98 90Fax 040/66 98 91 [email protected]

DIN EN ISO 9001:2000

Contents

Dichtomatik 5

Dichtomatik in the Internet 6

O-rings 9

Quality assurance information(measuring aids, procedures) 11

Materials 12

Standard elastomers 13

Special elastomers 16

Surface treatmentsand antifriction 18

Material approval 18

Terms from the materials data sheet 20

Installation housings and design recommendations:Static sealing 24Dynamic sealing 34

Design guidelines 38

Layout guidelines 40

General installation instructions 41

Back-up rings 42

Standard dimensions: 44

British Standard BS 1806American Standard AS 568 A 44

British Standard metric BS 4518 46

French Standard R 48

Swedish Standard SMS 1586 49

Japanese Standard JIS 240 P+G 50

DIN 3771 52

ISO 3601-1 Series G 54

ISO 3601-1 Series A 56

Dichtomatik dimensions 58

Subsidiaries 109

5

Dichtomatik Dichtomatik is a company thatspecialises in technical seals for everyapplication and is renowned forkeeping stocks of every kind ofstandard design, material and size. Ahighly developed sales organisationguarantees the fastest deliveries,anywhere in the world.

Their collective experience together with Dichtomatik’s capabilities ensures that customers have the best possible technical support. This serviceis provided throughout Dichtomatik’sworld-wide network with subsidiariescurrently in England, Austria, Holland,Sweden, Italy, France, Hungary, the USA and Canada and several offices in Asia.

Special orders, such as those designedand specified by Dichtomatik engineersin conjunction with the customer’sdesigners on the one hand and thesupplier’s production engineers on theother, are the order of the day.

As a leading customer of its suppliers,our requirements for a fully functioningquality assurance system, materials andproduct design set the standard.

The product specification is the basis forevery order for Dichtomatik seals. Itcontains the main quality features, therelevant standards, and any specificproduct requirements. It also containsdetails of the type and scope of anychecks and other information, such asidentification and packaging.

For safety reasons, Dichtomatik carriesout random in-house checks on allreceived goods, the frequency anddepth of which is determined by theclassification of the relevant supplier.This ensures that every Dichtomatikproduct is of the same unchangingreliability.

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Dichtomatik in the Internet

www.dichtomatik.de

The information in this catalogue and thetechnical data for every single standardDichtomatik item is also accessiblethrough the Internet. Anyone can find outanything they want to know about us,contact us, send an enquiry, look at ourwarehouse and check the availability ofindividual items. And send an order, of course.

In order to gain maximum benefit fromDichtomatik’s service when ordering, theprices listed in the Internet are protectedagainst abuse. We issue a secretpassword to every interested Dichtomatikcustomer, which can then be used inconjunction with the customer number toaccess our prices. For example, the validnet prices are automatically displayedwhen a warehouse enquiry is given. Andthe next step is the order!

You can reach Dichtomatik fromanywhere in the world. At any time.

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O-rings are closed circular sealingelements. The way they work is basedon deformation of the cross section.They are made through vulcanisationfrom form tools as a complete ring.

The simplicity of the shape of an O-ring and the reliability of its functionis ingenious, and that is why they arethe most frequently used type of seal.They are also economical to manu-facture and easy to fit, which makesthem unbeatable.

The O-ring designation is given fromthe dimension of its inner diameter andthe cross section thickness in mm, thename of the material and its hardness(elasticity)

e.g. 25 x 1.5 NBR 70

Mode of operation The sealing function of the installed O-ring is achieved by compressionbetween two or more elements in thesealing gland groove.

When ready to operate, the mediumpressure promotes the deformation andincreases the sealing effectivity. If thepressure drops to "zero”, the deformation reverts almost to the fitted state.

ApplicationsWe differentiate between the staticsealing of non-moving or dynamicsealing in moving machine elements.You will find further details in thechapter entitled "Installation spacesand structural recommendations” onpage 24.

O-rings

d1

d 2

d1d 2

Dimensions and tolerances

Basic tolerances for O-rings DIN ISO 3601 and DIN 3771

d 1 Tol

≤ 2.5 ± 0.134.5 ± 0.146.3 ± 0.158.5 ± 0.16

10.0 ± 0.17

11.2 ± 0.1814 ± 0.1916 ± 0.218 ± 0.2120 ± 0.22

21.2 ± 0.2323.6 ± 0.2425 ± 0.2526.5 ± 0.2628 ± 0.28

30 ± 0.2931.5 ± 0.3133.5 ± 0.3234.5 ± 0.3335.5 ± 0.34

36.5 ± 0.3537.5 ± 0.3638.7 ± 0.3740 ± 0.3841.2 ± 0.39

42.5 ± 0.443.7 ± 0.4145 ± 0.4246.2 ± 0.4347.5 ± 0.44

48.7 ± 0.4550 ± 0.4651.5 ± 0.4753 ± 0.4854.5 ± 0.5

56 ± 0.5158 ± 0.5260 ± 0.5461.5 ± 0.5563 ± 0.56

65 ± 0.5867 ± 0.5969 ± 0.6171 ± 0.6373 ± 0.64

d 1 Tol

75 ± 0.6677.5 ± 0.6780 ± 0.6982.5 ± 0.7185 ± 0.73

87.5 ± 0.7590 ± 0.7792.5 ± 0.7995 ± 0.8197.5 ± 0.83

100 ± 0.84103 ± 0.87106 ± 0.89109 ± 0.91112 ± 0.93

115 ± 0.95118 ± 0.97122 ± 1125 ± 1.03128 ± 1.05

132 ± 1.08136 ± 1.1140 ± 1.13145 ± 1.17150 ± 1.2

155 ± 1.24160 ± 1.27165 ± 1.31170 ± 1.34175 ± 1.38

180 ± 1.41185 ± 1.44190 ± 1.48195 ± 1.51200 ± 1.55

206 ± 1.59212 ± 1.63218 ± 1.67224 ± 1.71230 ± 1.75

236 ± 1.79243 ± 1.83250 ± 1.88258 ± 1.93265 ± 1.98

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d 1 Tol

272 ± 2.02280 ± 2.08290 ± 2.14300 ± 2.21307 ± 2.25

315 ± 2.3325 ± 2.37335 ± 2.43345 ± 2.49355 ± 2.56

365 ± 2.62375 ± 2.68387 ± 2.76400 ± 2.84412 ± 2.91

425 ± 2.99437 ± 3.07450 ± 3.15462 ± 3.22475 ± 3.3

487 ± 3.37500 ± 3.45515 ± 3.54530 ± 3.63545 ± 3.72

560 ± 3.81580 ± 3.93600 ± 4.05615 ± 4.13630 ± 4.22

650 ± 4.34670 ± 4.46

>670 ± 0.7%

d 2 Tol

≤ 1.8 ± 0.08≤ 2.65 ± 0.09≤ 3.55 ± 0.1≤ 5.3 ± 0.13≤ 7 ± 0.15

≤ 8 ± 0.16≤10 ± 0.18

For intermediate sizes, the nexttolerance up is chosen.

The dimensional tolerances of thefinished O-ring are achieved by usingappropriately designed form tools andallowing for the shrinkage factor of theelastomer. It is often possible to usemoulds and elastomers with similarshrinkage; in these cases the tolerancesin the above chart do not apply.

The quoted tolerances can be reducedeven further by modifying the elastomerand using special manufacturingprocedures.

11

Ideally, the inner diameter (Ø d1) ismeasured by using conical with stepbarrel gauges. The individual barrelgauges are designed to suit eachparticular measuring range. Acircumferential measuring tape issufficient for O-rings with an innerdiameter of more than 250 mm. Non-contact optical measuring isadvised for very small O-rings (less than 1 mm inner diameter).

The cross section of the O-ring (Ø d2)is measured with a dial gauge. Thecontact force between the measuringsurfaces should be 1 N.

Quality assuranceinformation (measuring aids,procedures)

Shape and surface deviations Acting in close cooperation withcustomers and adapting productiontechniques, Dichtomatik works activelyto achieve a product quality with zerofaults. However, this is highly labour-and cost-intensive.

DIN 3771 is therefore an attempt tofind a balance between economicproduction and acceptable types oferror. Part 4 contains descriptions ofthese types of error and differentiatesbetween permissible form and surfacedeviations according to type features Nand S given in the following tabel. Thesize of the permissible error is the diffe-rence between the two types.

Dichtomatik’s quality standards for O-rings are the same as those in DIN 3771-4 type feature N. The special quality according to typefeatures S and other, more specificrequirements can also be offered as thebasis for the delivery.

Flowmarks

Non-fills and indentation

Type features N Type features S Cross section (d2) Cross section (d2)Di. 1.8 2.65 3.55 5.3 7 1.8 2.65 3.55 5.3 7

v 0.08 0.1 0.13 0.15 0.15 0.08 0.08 0.1 0.12 0.13

g 0.1 0.12 0.14 0.16 0.18 0.1 0.1 0.13 0.15 0.15

e 0.18 0.27 0.36 0.53 0.7 0.1 0.15 0.2 0.2 0.3t 0.08 0.08 0.1 0.1 0.13 0.08 0.08 0.1 0.1 0.13

Deviation from the circular cross section surface is smoothly blended and is is permitted provided that the resultant within the size tolerance limits for d2.

l 0.05 · d1 or 1) 0.03 · d1 or 1)

1.5 1.5 6.5 6.5 6.5 1.5 1.5 1 5 5t 0.08 0.05 (radial orientation of flow marks is not permitted)

a 0.6 0.8 1 1.3 1.7 0.15 0.25 0.4 0.63 1t 0.08 0.08 0.1 0.1 0.13 0.08 0.08 0.1 0.1 0.13

1) the higher value is decisive.

Offset/mismatch

Flash offset and narting line projection

Backrind

Excessive trimming

vvv

g

g

e

l

t

a

a

t

t

Form and surface deviations

Types of deviation

Materials Dichtomatik offers O-rings in fourstandard and a wide range of specialmaterials, most of which areelastomers. The starting material forelastomer is caoutchouc, which can beobtained in the form of natural rubberbut is nowadays usually used in asynthetic form manufactured by thechemical industry.

Elastomers differ in the basic polymerfrom which they are made. Thefollowing table contains the nomenclature used for elastomersaccording to DIN ISO 1629 and ASTM D 1418.

The finished material is created bymixing the basic polymer with theappropriate fillers, softeners,processing aids, curing agents,accelerators and other additives. Thisprocess enables us to achieve the specified material properties and offer standard compounds for a widerange of applications as well asspecial mixtures for highly specialisedapplications.

The O-ring ultimately achieves its stableshape by the vulcanisation process, inwhich the plastic rubber mixturechanges into a rubber-elastic state and the O-ring acquires its final mechanical properties (hardness, tensile strength, ultimate elongation,compression set etc.).

Nomenclature for basic polymers

Chemical description AbbreviationDIN ISO 1629 ASTM D 1418

acrylonitrile-butadiene rubber NBR NBRhydrogenated acrylonitrile-butadiene rubber (HNBR) HNBRfluoro rubber FPM FKMperfluoro rubber (FFPM) FFKMethylene propylene diene rubber EPDM EPDMsilicone rubber VMQ VMQfluorosilicone rubber FVMQ FVMQchloroprene rubber CR CRpolyester urethane AU AUpolyether urethane EU EUnatural rubber NR NRacrylate rubber ACM ACMstyrene-butadiene rubber SBR SBRethylene oxide epichlorhydrine rubber ECO ECOchlorosulfonated polyethylene CSM CSMbutadiene rubber BR BRisoprene rubber IR IRbutyl rubber IIR IIR

( ) = not listed in the standard

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Dichtomatik standard compounds

Basic elastomer Abbreviation Hardness Colour Temp. range [°C]DIN ISO 1629 [Shore A] low high

acrylonitrile- NBR 70 black –30 100 120*butadiene-rubber 80 + 90 –25 100 120*

*short term

fluororubber FPM 80 black –15 200

ethylene propylene- EPDM 70 black –45 130diene rubber

silicone rubber VMQ 70 red-brown –55 200(methyl vinyl polysiloxane)

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Standard elastomers Dichtomatik has a wide range of O-ring sizes in four standard materialsin stock:

Temperature range and mediaresistance are primary criteria whenchoosing a material. Nevertheless,sufficient consideration must be givento the mechanical-technological valuesof an elastomer mixture as these aredecisive for a seal's service life. Dichtomatik's resistance guide providesdetails of the different elastomer compounds’ media resistance.

NBR – acrylonitrile-butadienerubber / trade name e.g. Perbunan®-(Bayer)NBR is the most common standardmaterial for O-rings because of itsgood mechanical properties andresistance to mineral oil-basedlubricants and greases. Theseproperties are usually determined bythe acrylonitrile content (ACN between18% and 50%). A low ACN contentensures good flexibility at lowtemperatures, but offers limitedresistance to oils and fuels; as the ACNcontent increases, the low temperatureflexibility reduces and the resistance tooils and fuels improves.

The Dichtomatik standard NBR materialfor O-rings offers an average ACNcontent to suit a wide range of applications with balanced properties.It has good mechanical-technologicalvalues such as high abrasion resistance, as well as low gas permeability and good resistance to mineral oil-based lubricants and greases, hydraulic oils H, H-L, H-LP, non-inflammable pressure liquids HFA,HFB, HFC, aliphatic hydrocarbons,silicone oil and greases, and water toapprox. 80°C.

NBR is generally not resistant toaromatic and chlorinatedhydrocarbons, fuels with a higharomatic content, polar solvents, glycol-based brake fluids and non-inflammable hydraulic fluids HFD. Italso has a low resistance to ozone, weathering and ageing, but in most applications this has no negative effect.

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FPM – fluoro rubber / trade name e.g Viton®

(Du Pont-Dow Elastomers)FPM materials are noted for their veryhigh resistance to temperatures andchemicals. Other key benefits are itsexcellent resistance to ageing andozone, very low gas permeability(excellent for vacuum application) andthe fact that it is self-extinguishing.

The standard FPM material for O-ringshas excellent resistance to mineral oilsand greases, aliphatic, aromatic andchlorinated hydrocarbons, fuels, non-inflammable hydraulic pressure fluidsHFD and many organic solvents and chemicals.

In addition to the standard FPMmaterials, a number of specialcompounds with different compositionsof polymer chains and varying fluoro-contents (65% to 71%) are developedfor special applications.

FPM is generally not resistant to hotwater, steam, polar solvents, glycol-based brake fluids and low-molecularorganic acids.

EPDM – ethylene propylenediene rubber /trade name e.g. Nordel®‚ (Du Pont-Dow Elastomers)EPDM materials generally have a highresistance to hot water, steam, ageingand chemicals, and are suitable for awide range of temperature applica-tions. They are divided into sulphur-and peroxide-cured types. Peroxide-cured compounds are suitable forhigher temperature ranges and have amuch lower compression set.

EPDM has a good resistance to hotwater and steam, detergents, causticpotash solutions, sodium hydroxide solutions, silicone oil and greases,many polar solvents, many dilutedacids and chemicals. Special qualitiesare recommended for glycol-based brake fluids. EPDM materials are totallyunsuitable for use with all mineral oilproducts (lubricants, fuels). They can be used between –45°C and +130°C(peroxide-cured –50°C to +150°C).

VMQ – silicone rubber / trade name e.g. Silopren®

(Bayer)Silicone rubbers are noted for its widethermal range and excellent resistanceto ozone, weathering and ageing.Compared with other elastomers,silicone’s mechanical properties are onthe low side. Generally, siliconematerials are physiologically harmless;they are also used by the food andmedical industries.

The standard silicone material can beapplied at temperatures from –55°C to+200°C and is resistant to water (up to 100°C), alphatic engine andtransmission oils, animal and plant oils and fats.

Silicone is generally not resistant tofuels, aromatic mineral oils, steam(short term up to 120°C possible),silicone oils and greases, acids andalkalis.

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Comparison of several elastomer properties

Properties Materials

NBR FPM EPDM EPDM VMQ HNBR FFPM FVMQ CR AU / EUsulphur peroxide

Compression set 1 1 3 1 2 1 3 2 2 3

Tear strength 2 2 3 2 4 1 2 3 2 1

Abrasion resistance 2 2–3 2 2 4 2 3 3 2 1

Ageing resistance 4 1 2 2 1 2 1 1 2 1

Ozone resistance 4 1 2 2 1 2 1 1 2 1

Resistance to oil and grease 2 1 5 5 3 2 1 2 3 2

Fuel resistance 4** 2** 5 5 4 3 1 2 3 3

Resistance to hot water [°C] 80** 80** 130 150 100 100** *** 100 80 50

Resistance to steam [°C] – – 130 175 120* – *** 120* – –

Heat resistancestandard materials [°C] 100 200 130 150 200 150 260 175 100 100

Heat resistancespecial materials [°C] 120 – – – 250 – 330 – – –

Low temperature resistancestandard materials [°C] –30 –15 –45 –50 –55 –30 –15 –55 –40 –40

Low temperature resistancespecial materials [°C] –50 –35 – – – –40 –35 – –50 –

1 = very good / 2 = good / 3 = average / 4 = low / 5 = weak* =short term / ** = better result only with special compound / *** = depends on compound

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Special elastomers HNBR – hydrogenated acryloni-trile-butadiene rubber / trade name e.g. Therban®

(Bayer)HNBR is obtained by fully or partlyhydrogenating NBR. It leads toconsiderable improvement of theresistance to heat, ozone and ageing,and gives it very good mechanicalproperties. The media resistance com-pares to that of NBR.

FFPM – perfluoro rubber / trade name Kalrez®

(Du Pont-DowElastomers)The chemical and heat resistance ofperfluoro elastomers are similar tothose of PTFE. They combine thepositive properties of PTFE with theelastic behaviour of FPM. Because thismaterial group is considerably moreexpensive, perfluoro elastomers areonly used if other materials cannotmeet the specifications and if safetyrequirements justify the higherexpenditure.

Typical applications for perfluoroelastomers include the chemical, oiland semi-conductor industries, high-vacuum technology, and the aerospaceindustry.

FVMQ – fluorosilicone rubber / trade name e.g. Silastic LS®

(Dow Corning)Although fluorosilicone elastomers havethe same mechanical properties assilicone, they are far more resistant to oils and fuels. The temperature range of applications is somewhat more restricted than that of silicone.

CR – chloroprene rubber / trade name e.g. Neoprene®

(Du Pont-Dow Elastomers)Chloroprenes have excellent resistanceto ozone, ageing and weathering andalso good mechanical properties. Theyhave average resistance to mineraloils, and are suitable for use with many refrigerants.

AU – polyester urethaneEU – polyether urethanePolyurethane / trade name e.g Desmopan®

(Bayer)Polyurethanes differ from classicelastomers in that they have muchhigher mechanical properties forexample a high resistance to abrasion,wear and extrusion, a high tensilestrength and tear resistance. Thematerial is resistant to ageing andozone, and can be used with mineraloils and greases, silicone oils andgreases, non-inflammeble fluids HFAand HFB and water up to of 50°C, aswell as pure aliphatic hydrocarbons.

SBR – styrene-butadiene rubber / trade name e.g. Buna Hüls® (Hüls)SBR is used in glycol-based brakefluids, water, alcohols, glycols, silicone oils and greases. Thetemperature application range is from–50°C to +100°C.

17

TFE/P – tetrafluoroethylene-propylene rubber / trade name e.g. Aflas® (3M)TFE/P is a relatively new addition tothe group of fluoroelastomers and isnoted for its excellent thermal (0°C to +200°C) and chemical resistance. It is particularly suitable for use in hotwater, steam, acids, alkaline solutions,ammonia, amines, alloyed engine andtransmission oils, brake fluids (basedon glycol, mineral oil and silicone oil),crude oil, sour gas.

ACM – acrylate rubber ACM is used mainly by the automotiveindustry as it is resistant to engine,transmission and ATF oils even at hightemperatures. The temperatureapplication range is from –20°C to+150°C.

NR – natural rubberNatural rubber is still obtained from the latex of certain plants. Vulcanisednatural rubber has good low-temperature and mechanical propertiesand a high elasticity. NR vulcanisedmaterials are resistant to water, glycols,alcohols, glycol-based brake fluids,silicone oils and greases and dilutedacids and bases. The temperatureapplication range is from approx.–50°C to +80°C.

PTFE O-rings, PTFE-encapsulated O-rings PTFE – polytetrafluoroethylene PTFE is a fluorinated plastic material.It is noted for its almost universal resistance to chemicals, wide temperature range (–100°C to+250°C), extremely low coefficient offriction, physiological suitability and almost unlimited resistance to ozone,weathering and ageing.

Solid PTFE O-rings are far less elastic than elastomer O-rings, whichmeans they are difficult to install (the installation space usually has to be split), and they tend to "flow”,especially at high temperatures. This is why slotted PTFE O-rings andPTFE-encapsulated elastomer O-ringsare used. The position of the gap (pure PTFE O-rings) or of the joint oroverlap (PTFE-encapsulated O-rings) is determined here, depending on theparticular application.

FEP-encapsulated O-rings FEP – fluorinated ethylene-propylene FEP is a thermoplastic material withsimilar properties to PTFE. SeamlessFEP-encapsulated O-rings have anelastic core in FPM or VMQ. They areused at very high thermal and chemicalloads. The extremely high chemicalresistance of the cover protects the elastic core material against the chosenmedium. Another advantage of thecover is its very low coefficient of friction.

This results in a combination of veryhigh chemical and thermal load-bearing ability and the elasticproperties of standard commercialelastomers. The core material is chosen to suit the temperature rangeand medium.

Because of its limited flexibility, greatcare is required during installation.Warming the material in water or oil tobetween approx. 80°C and 100°C in-creases flexibility and supports theinstallation.

Depending on the core material, thetemperature application range is from–55°C to +200°C.

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Surface treatments,and antifriction

The typical properties of elastomermaterials include the ”good gripping”and ”sticky” surface. The friction thatoccurs in certain applications andduring the fitting of O-rings(particularly with automatic supply)may be a disadvantage. Friction canbe reduced by different antifriction treatments as an aid to installation andto increase the service life. Possibilitiesinclude:

Short-term antifriction treatment, e.g. to aid installation, by surface treatment with:

– silicone oil– graphite– molybdenum disulfide (MoS2)– talcum powder.

Long-term antifriction treatment isachieved by

– halogenating (fluorinating)– PTFE coating– applying dry lubricants to

the surface

Long-term friction reduction is achievedby incorporating a slide-intensifyingadditive in the elastomer mix, such as molybdenum disulphide (MoS2) or PTFE.

Dichtomatik’s application engineers are pleased to assist with choosing the suitable process.

”Labs-free” O-rings”Labs-free” means that the O-rings arefree from substances which interfere thelacquering process. The requirement ”labs-free” includes ”silicone-free” andgoes beyond that. ”Labs-free” O-ringsare used primarily in automotiveindustry lacquering plants. Particlesthat disturb the lacquering process such as silicones, greases, wax etc.cause crater-shaped pitting on wetpaint. Customer test requirementsapply. Please contact us if you have ademand for ”labs-free” O-rings.

Material approval is issued byrecognised laboratories, authorisedscientific-technical associations andstate bodies. Sadly, most of theapprovals are based on national rules,and even within Europe are rarelyrecognised by other member states.This means that even a material that is being used in similar or identicalapplications may need to be approveda number of times.

In addition to the usual requirementsthat apply for O-ring materials, special verification or approval may be required to confirm that a materialis suitable for a specific application.Control and monitoring are veryimportant if the seals are to be used in safety-technical, food or medicalapplications. Approval is required foruse in the following applications:

– gas installation, gas equipment,gas supply

– drinking water fittings and supply – food industry – oxygen applications – fire protection

Material approval

19

Summary of a number of material approvals:

Approval Country Application Standard

DVGW D gas DIN EN 549 Deutscher Verein des Gas (DIN 3535 T1+2)und Wasserfaches e.V. DIN 3535 T3

KTW D drinking KTW guidelines(DVGW) water

BAM D oxygen BAM guidelinesBundesanstalt für Material-forschung und -prüfung

BGA D food BGA-guidelinesBundesgesundheitsamt

acc. to EN 681-1 EU water EN 681-1supply anddisposal

WRC GB drinking BS 6920Water Research Council water

FDA USA food Title 21 item 177.2600Food and Drug Administration

NSF USA drinking Standard 61National Sanitary Foundation water

UL USA fire UL 94Underwriter Laboratories protection

KIWA NL drinking BRL 2013water

ACS F drinking AFNOR XP 41-210/1/1/3water

Dichtomatik carries O-rings made from materials with almost everycurrent approval. Because of thevariety and constantly changingnumber of approvals, we have decidedagainst listing them individually, but doplease ask for specific information. If we do not happen to have theapproval that you require, we willimmediately establish whether it ispossible to apply for it.

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Terms from thematerials data sheet

Elastomer materials are subject to strict quality controls throughout themanufacturing process. Theappropriate tests are carried out on the caoutchouc or raw materials, andon the vulcanised rubber to monitor the manufacturing process. Thecharacteristic properties of thevulcanised material are listed in the material data sheet.

The results given in the data sheet wereobtained on standard test specimensfollowing standard test procedures. Comparisons with results obtained onfinished products, e.g. O-rings, willproduce other results due to the different geometry, but these results willnot necessarily contravene the contentsof the data sheet. The following is anexplanation of the main terms:

HardnessThe hardness of elastomer materialscan be tested to Shore A or D (DIN53505) or by indentation hardness to IRHD (DIN 53519 sheets 1 and 2).Shore A is the most frequently used testmethod, and IRHD micro hardnesstesting for smaller cross sections.

In both cases the hardness is theresistance of the elastomer test piece tothe penetration of an indentor (atruncated cone for Shore A, and asphere for micro IRHD) applied under a defined test load. The hardness isdetemined by the appropriate testequipment on standard test pieces anddocumented in data sheets. Because of the different geometry, the hardnesstest results obtained on a finished O-ring may differ from those of astandard test piece.

Tensile strength, ultimate elongation The tensile test is described in DIN 53504. A standard test piece isstretched to rupture. The tensile strengthis the maximum tensile stress instretching a specimen to rupture.

The ultimate elongation is theelongation at which rupture occurs in the application of continued tensilestress.

Because of the different geometry of afinished O-ring compared with a testspecimen, the values for tensile strengthand breaking elongation on a finishedO-ring may be less. This factor is to betaken into account when assessing thesuitability of small O-rings for assemblyover large diameters.

Tear resistanceTear resistance is a measure of stressneeded to continue rupturing a testspecimen after a defined initiating cut.The tear resistance test is described fortwo different test pieces in DIN 53507and DIN 53515. The value therebyobtained can be used to estimate anelastomer’s sensitivity to further growthof damage in the case of a cut.

Low temperature The mechanical properties ofelastomers change as the temperaturedrops. Thus, for example, hardness and tear resistance increase whereasultimate elongation reduces. From aparticular temperature onwards, thematerial then becomes so hard andbrittle that under load, it will crack likeglass. If no mechanical load is appliedto the frozen material (e.g. in storage), it will regain its original properties once warmed.

Various tests are available forassessing cold flexibility. Frequentlyused values are the brittleness pointacc. to DIN 53546 and the TR10temperature acc. to ASTM D 1329.These figures can be interpreted todraw conclusions regarding thepractical low-temperature limit.

Compression setDepending on the compound, time,temperature and initial deformation,elastomers show a certain ”flow”, aproportion of plastic deformation, inaddition to their elastic behaviour. An item that has been installed in ahousing for a certain period of time willnot return completely to its originalshape after removal, but will retain acertain amount of permanentdeformation.

Compression set is tested to DIN53517 or ASTM D 395 B, and will besomewhere between 0% and 100%;0% is the ideal, and 100% the worstpossible result. Compression set iscalculated thus:

d0 - d2d0 - d1

d0 = the original thickness of the test specimen

d1 = the thickness of the test specimen once deformed

d2 = the thickness of the test specimen after relaxation

When assessing the value for thecompression set it is important toobserve the test parameters precisely.The same material can, for example,achieve better or worse results due to a change in temperature in the test. Thesame applies to the duration of the test.

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Changes in properties after ageing In order to assess the ageing behaviourand the materials’ suitability for use inspecific media, the changes in theirproperties are established after storagein these media.

DIN 53508 describes accelerated ageing in air. The determination of the resistance to liquids, vapours andgases is described in DIN 53521. Theproperties that are assessed are, forexample, the absolute change inhardness and percentage change oftensile strength, ultimate elongationand volume in relation to the values of the unaged test specimen.

Storage of Elastomer products Elastomers are generally easy to store.They retain almost exactly their originalproperties for several years, providingcertain minimum storage criteria areobserved. Those are described instandards DIN 7716 and ISO 2230.

It is important that seals are stored stress-free, without any tension,compression or deformation.

The elastomer seals should beprotected from any intensive circulationof air. Storing the seals in the originalpackaging (e.g. polyethylene bags) orstoring the seals in air-tight containersis recommended.

The storing room should be cool, dry,dust-free and ventilation should bemoderate.

A constant storage temperature isrecommended. It should not be lowerthan –10°C and not higher than+20°C. Radiators in storage areasshould be covered and kept a minimumof 1m from the stored goods.

The relative humidity should not exceed 65%. Strong light influence,especially uv-radiation as well as directsun light should be avoided.

Electrical equipment that creates ozoneshould not be placed in areas whereelastomers are stored.

DVR = x 100

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Installation housingsand designrecommendations

Static sealing

Static sealing, internal sealing,rectangular groove byradial deformation

The installation housings(grooves) for O-rings should if possiblebe produced with right angles. Thedimensions for the required depth andwidth depend on the particularapplication and cross-section. Thedimensions are recommendations forthe particular type of installation, andrefer to the nominal sizes. They shouldbe observed because the sealingfunction depends on the preciseexecution of the grooves.

O-rings are ideal for sealing restingmachine elements. We speak of a staticor resting seal when the machineelements that are to be sealed do notmove in relation to each other. If thegroove is executed correctly, the itemsused as intended and the right materialchosen, O-rings can seal pressures ofup to 1000 bar. (Back-rings may also be required.)

Rectangular groove byradial deformation This type of sealing is the preferredchoice for sealing pins, bolts, tubeconnections or cylindrical tubes. The O-ring section is deformed radially oninstallation, i.e. in the direction of thecentre of the bolt/pipe. The position ofthe groove, whether on the inside orthe outside, does not play a functionalpart on solid components, but dependson the processing and installationpossibilities. On thin walled partswhere elastic deformation could occursuch as with a cylindrical pipe, thegroove should be on the fixed outerpart (cylinder bottom) so that thegroove on the side that is not subject to pressure does not increase as theitem opens out.

b+0.25

t+0.

05

rounded

C

r1

20°

r2

Ra≤6

.3

Ra≤3.2

ø d5

f7

ø d1

0H8

ø d6

H9

Ra≤1.6

25

d2 Groove Groove Lead-in depth width chamfer t +0.05 b+0.25 C

1 0.75 1.3 1.21.2 0.9 1.6 1.21.25 0.9 1.7 1.21.3 1 1.7 1.21.5 1.1 2 1.5

1.6 1.2 2.1 1.51.78 1.3 2.4 1.51.8 1.3 2.4 1.51.9 1.4 2.5 1.52 1.5 2.6 2

2.2 1.7 3 22.4 1.8 3.2 22.5 1.9 3.3 22.6 2 3.4 22.62 2 3.5 2

2.65 2 3.6 22.7 2.1 3.6 22.8 2.2 3.7 23 2.3 3.9 2.53.1 2.4 4 2.5

3.5 2.7 4.6 2.53.53 2.7 4.7 2.53.55 2.8 4.7 2.53.6 2.8 4.8 2.53.7 2.9 4.9 2.5

Static sealing, external sealing, rectangular groove byradial deformation

Groove dimensions d2 Groove Groove Lead-indepth width chamfert +0.05 b+0.25 C

4 3.2 5.2 34.3 3.4 5.6 34.5 3.6 5.8 35 4 6.5 35.3 4.3 7 3

5.33 4.3 7.1 3.55.5 4.5 7.2 3.55.7 4.6 7.6 3.56 4.9 7.9 3.56.5 5.4 8.4 4

6.99 5.8 9.2 47 5.8 9.3 47.5 6.3 9.8 48 6.7 10.5 48.4 7.1 10.9 4.5

8.5 7.2 11 4.59 7.7 11.7 4.59.5 8.2 12.3 4.510 8.6 13 510.5 9 13.8 5

11 9.5 14.3 512 10.5 15.6 515 13.2 19.2 5

b+0.25

t+0.

05

rounded

C

r120°

r2

Ra≤6

.3

Ra≤3.2

ø d3

h9

ø d9

f7

ø d4

H8

Ra≤1.6

26

Static sealing, pressure from inside, rectangular groove by axial deformation

Rectangular groove by axial deformationThis type of installation is usedprimarily for flange and cover sealing.The O-ring cross section is deformedaxially.

Note that the O-ring should be placedagainst the non-pressure side of thegroove on installation in order toprevent it from moving in the groovewhen pressure is applied or increases.

If the O-ring moves in the groove, it will be stretched and compressed,which causes material fatigue and premature wear. Observing the pressure direction will prevent the surface of the O-ring from possibly rolling, and thus being destroyed.

� If pressure is applied from theinside, the outer diameter of the O-ring should be placed against the outer diameter of the groove, or else be up to max. 3% bigger (the O-ring will be compressed).

� If pressure is applied from theoutside, the inner diameter of the O-ring should be placed against theinner diameter of the groove or else be up to max. 6% smaller (the O-ring will be stretched).

When the item is intended for axialinstallation, the cover screwing shouldbe very strongly designed to ensurethat the gap between the sealedsurfaces never exceeds the permittedsize. The pressure could otherwisesqueeze out the O-ring.

b+0.

25

t+0.05

pressure from inside

r1r2

Ra≤6.3

Ra≤3.2

ø d8

ø d7

H11

Ra≤1

.6

27

d2 Groove Groove depth width t +0.05 b+0.25

1 0.7 1.41.2 0.9 1.61.25 0.9 1.71.3 1 1.71.5 1.1 2.1

1.6 1.2 2.21.78 1.3 2.51.8 1.3 2.61.9 1.4 2.72 1.5 2.8

2.2 1.6 3.12.4 1.8 3.32.5 1.9 3.52.6 2 3.62.62 2 3.7

2.65 2 3.82.7 2.1 3.82.8 2.1 43 2.3 4.13.1 2.4 4.2

3.5 2.7 4.83.53 2.7 4.93.55 2.7 53.6 2.8 5.13.7 2.9 5.2

Static sealing, pressure from outside, rectangular groove by axial deformation

Groove dimensions d2 Groove Groove depth width t +0.05 b+0.25

4 3.1 5.54.3 3.3 5.94.5 3.5 6.15 4 6.75.3 4.2 7.2

5.33 4.2 7.35.5 4.5 7.45.7 4.6 7.66 4.8 8.16.5 5.3 8.6

6.99 5.7 9.77 5.7 9.77.5 6.2 10.18 6.6 10.78.4 7.1 11.1

8.5 7.2 11.39 7.6 129.5 8.1 12.510 8.5 13.610.5 8.9 14

11 9.4 14.712 10.4 15.715 13.2 19.4

b+0.

25

t+0.05

pressure from outside

r1r2

Ra≤6.3

Ra≤3.2

ø d8

h11

ø d7

Ra≤1

.6

28

Static sealing, trapezoidal groove

Trapezoidal groove Trapezoidal grooves are difficult andexpensive to manufacture. This groovegeometry is only worthwhile if the O-ring needs to be held in the grooveduring assembly, for the applicationand removal of compression mouldingtools, or for overhead installations.

A trapezoidal groove is really onlyadvisable for cross sections of 2 mmand more. The average groove diame-ter equates to the inner diameter plusthe cord thickness of the O-ring.

t±0.

05

b±0.05

Ra≤3.225°

Ra≤3

.2

r1

r2

Ra≤1.6

ød = d1 + d2

29

Groove dimensions d2 Groove Groove r2 r1depth widtht ±0.05 b±0.05

2 1.5 1.6 0.4 0.252.2 1.6 1.7 0.4 0.252.4 1.8 1.9 0.4 0.252.5 2 2 0.4 0.252.6 2.1 2.1 0.4 0.25

2.62 2.1 2.1 0.4 0.252.65 2.1 2.1 0.4 0.252.7 2.2 2.1 0.4 0.252.8 2.3 2.2 0.4 0.253 2.4 2.4 0.4 0.25

3.1 2.5 2.5 0.4 0.253.5 2.8 2.9 0.8 0.253.53 2.8 2.9 0.8 0.253.55 2.8 2.9 0.8 0.253.6 2.9 3 0.8 0.25

3.7 3 3.1 0.8 0.254 3.2 3.3 0.8 0.254.3 3.3 3.6 0.8 0.254.5 3.7 3.7 0.8 0.255 4.2 4 0.8 0.25

5.3 4.6 4.2 0.8 0.45.33 4.6 4.2 0.8 0.45.5 4.7 4.4 0.8 0.45.7 4.9 4.5 0.8 0.46 5.1 4.7 0.8 0.4

6.5 5.6 5.1 0.8 0.46.99 6 5.6 1.6 0.47 6 5.6 1.6 0.47.5 6.4 6.1 1.6 0.48 6.9 6.3 1.6 0.4

8.4 7.3 6.7 1.6 0.58.5 7.4 6.8 1.6 0.59 7.8 7.2 1.6 0.59.5 8.2 7.7 1.6 0.5

10 8.7 8 1.6 0.5

30

Static sealing, conical groove

Conical groove In individual cases involving screwedflange and cover sealing design,requirements may call for a conicalgroove. However, with this particulargroove geometry it can be difficult toensure a defined deformation of the O-ring. Furthermore, the restrictedspace of a conical groove can bedisadvantageous if the surroundingmedia then cause the O-ring to swell.

Ra≤3

.2

45°

r1

Ra≤1

.6

Ra≤1.6

ø d

f7/D

H8

b

31

Groove dimensions d2 Side length b Tolerance (+) r1

1 1.45 0.1 0.251.2 1.7 0.1 0.251.25 1.75 0.1 0.251.3 1.8 0.1 0.31.5 2.1 0.1 0.3

1.6 2.15 0.1 0.31.78 2.4 0.1 0.31.8 2.45 0.1 0.31.9 2.6 0.1 0.42 2.75 0.1 0.4

2.2 3 0.1 0.42.4 3.25 0.15 0.42.5 3.4 0.15 0.52.6 3.55 0.15 0.52.62 3.6 0.15 0.5

2.65 3.6 0.15 0.52.7 3.7 0.15 0.62.8 3.8 0.15 0.63 4.1 0.2 0.63.1 4.25 0.2 0.6

3.5 4.8 0.2 0.83.53 4.8 0.2 0.83.55 4.85 0.2 0.83.6 4.9 0.2 0.93.7 5.05 0.2 0.9

4 5.5 0.2 1.24.3 5.9 0.2 1.24.5 6.15 0.2 1.25 6.85 0.25 1.25.3 7.25 0.25 1.4

5.33 7.3 0.25 1.45.5 7.55 0.25 1.55.7 7.8 0.25 1.56 8.2 0.3 1.56.5 8.9 0.3 1.7

6.99 9.6 0.3 27 9.6 0.3 27.5 10.3 0.3 28 11 0.4 28.4 11.55 0.4 2

8.5 11.7 0.4 29 12.4 0.4 2.59.5 13.05 0.4 2.510 13.7 0.4 2.510.5 14.4 0.4 2.5

10 15.1 0.4 2.512 16.5 0.5 315 20.6 0.5 3

32

Static sealing, vacuum sealing

Vacuum sealingVacuum sealing is a special kind ofstatic O-ring sealing. In this type, thesystem pressure that is to be sealed isless than the atmospheric pressure(patm= 1.01325 bar).

Contrary to the general installationguidelines for static O-ring sealing, thefollowing recommendations apply forvacuum sealing:

� The groove should be almost 100% filled by the deformed O-ring.This creates greater contact surfacesand increases the diffusion timethrough the elastomer material.

� The deformation of the O-ring section should be about 30%.

� A vacuum grease should be used(reduces leakage).

� The surface quality (roughnessdepth) of the groove and sealedsurfaces should be considerably betterthan of standard static sealing, and thepercentage contact area should be tp > 50%.

� The chosen elastomer should be gas compatible, have lowpermeability and a low compression set. We recommend fluoro rubber forstandard applications.

b±0.

05

t-0.05

ø d8

h11

ø d7

H11

Ra≤0.8

Ra≤0

.8

r2

r1

Ra≤1.6

vacuum

atmosphere

33

Groove dimensions d2 Groove Groove r1 r2depth widtht -0.05 b±0.05

1.5 1.05 1.8 0.1 0.21.78 1.25 2.1 0.1 0.21.8 1.25 2.1 0.1 0.22 1.4 2.3 0.1 0.32.5 1.75 2.9 0.1 0.3

2.6 1.8 3 0.1 0.42.62 1.85 3.1 0.1 0.42.65 1.85 3.1 0.1 0.42.7 1.9 3.15 0.1 0.42.8 1.95 3.2 0.1 0.4

3 2.1 3.5 0.1 0.63.1 2.2 3.6 0.1 0.63.5 2.45 4.1 0.2 0.63.53 2.5 4.1 0.2 0.63.55 2.5 4.15 0.2 0.6

3.6 2.5 4.2 0.2 0.63.7 2.6 4.3 0.2 0.64 2.8 4.7 0.2 0.64.5 3.15 5.3 0.2 0.85 3.5 5.9 0.2 0.8

5.3 3.7 6.3 0.2 15.33 3.7 6.3 0.2 15.5 3.8 6.6 0.2 15.7 4 6.7 0.2 16 4.2 7.1 0.2 1

6.5 4.6 7.6 0.2 16.99 4.9 8.2 0.3 17 4.9 8.2 0.3 17.5 5.3 8.7 0.3 18 5.6 9.4 0.3 1

8.4 5.9 9.9 0.3 18.5 6 10 0.3 19 6.4 10.5 0.3 19.5 6.7 11.2 0.3 1

10 7.1 11.7 0.3 1

34

Dynamic sealing

Dynamic sealing, internal sealing, rectangular groove byradial deformation

O-rings are used successfully assealing elements in dynamicapplications. However, their use islimited to lower pressures and speeds,or to use in small installation housings.

Because of the friction resistance in movement, e.g. in hydraulic orpneumatic components, a smaller O-ring deformation is chosen than for static sealing. The item shouldalways be well lubricated in order to prevent a loss of power due to friction and premature wear of the O-ring if it runs dry.

The installation housings are the same for the reciprocating movement, andfor the movement with simultaneousrotating (helical) movement. There aredifferences between the housings ofhydraulic and pneumatic applications,because of the differences in pressureand lubrication.

HydraulicsO-rings should only be used to sealhydraulic pistons and rods if there islittle space for the installation, or if therod stroke is relatively short with a lowfrequency, and the seal does not haveto be completely leak-proof. In fact, atiny amount of leakage is desirable asit provides a lubricant film that reducesfriction and wear.

rounded

b+0.05

b+0.

05

ø d5

f7

ø d1

0H8

ø d6

H9

Ra≤3

.2

r2

r1

Ra≤1.6Ra≤0.4

C 20°

35

Groove dimensions

Dynamic sealing, external sealing,rectangular groove byradial deformation

d2 Groove Groove Lead-indepth width chamfer t +0.05 b+0.25 C

1 0.9 1.3 11.2 1 1.6 11.25 1.1 1.6 11.3 1.1 1.7 1.21.5 1.3 1.9 1.2

1.6 1.4 2 1.21.78 1.5 2.3 1.31.8 1.5 2.4 1.31.9 1.6 2.5 1.32 1.7 2.6 1.3

2.2 1.9 2.8 1.32.4 2.1 3 1.42.5 2.2 3.1 1.42.6 2.2 3.3 1.52.62 2.2 3.4 1.5

2.65 2.3 3.4 1.52.7 2.4 3.4 1.52.8 2.4 3.6 1.63 2.6 3.8 1.8

3.1 2.7 3.9 1.83.5 3.1 4.4 23.53 3.1 4.5 23.55 3.1 4.5 23.6 3.1 4.6 2

d2 Groove Groove Lead-indepth width chamfer t +0.05 b+0.25 C

3.7 3.2 4.8 24 3.5 5.1 24.3 3.8 5.5 2.54.5 4 5.7 2.55 4.4 6.4 2.7

5.3 4.7 6.8 2.95.33 4.7 6.9 2.95.5 4.9 7.1 35.7 5.1 7.2 36 5.4 7.5 3.6

6.5 5.8 8.1 3.66.99 6.2 8.8 3.67 6.2 8.9 3.67.5 6.7 9.4 3.88 7.1 10.2 4

8.4 7.5 10.6 4.28.5 7.6 10.8 4.29 8.1 11.4 4.59.5 8.5 12 4.5

10 9 12.6 4.5

10.5 9.5 13.2 511 9.9 13.9 512 10.9 15.1 515 13.7 18.8 5

t+0.

05

b+0.25

ø d3

h9

ø d9

f7

ø d4

H8

Ra≤0.4

Ra≤3

.2

r2

r1

Ra≤1.6

rounded

C

20°

36

Dynamic sealing, internal sealing, rectangular groove by radial deformation

PneumaticsIn pneumatics, O-rings are usedprimarily to seal reciprocatingmovements. The deformation of the O-ring should be less than in hydraulicapplications in order to keep the loss of power due to friction down, evenwith inadequate lubrication, in order to achieve the maximum possiblelifetimes.

rounded

b+0.05

b+0.

05

ø d5

f7

ø d1

0H8

ø d6

H9

Ra≤3

.2

r2

r1

Ra≤1.6Ra≤0.4

C 20°

37

Groove dimensions

Dynamic sealing, external sealing, rectangular groove by radial deformation

d2 Groove Groove Lead-indepth width chamfert +0.05 b+0.25 C

1 0.95 1.2 0.91.2 1.05 1.5 11.25 1.15 1.5 11.3 1.15 1.6 1.11.5 1.35 1.8 1.1

1.6 1.45 1.9 1.21.78 1.55 2.2 1.21.8 1.55 2.3 1.21.9 1.7 2.3 1.22 1.8 2.4 1.2

2.2 2 2.6 1.42.4 2.15 2.9 1.42.5 2.25 3 1.42.6 2.35 3.1 1.42.62 2.35 3.1 1.5

2.65 2.35 3.2 1.52.7 2.45 3.3 1.52.8 2.55 3.4 1.53 2.7 3.6 1.53.1 2.8 3.7 1.5

3.5 3.15 4.2 1.83.53 3.2 4.3 1.83.55 3.2 4.3 1.83.6 3.3 4.3 1.83.7 3.4 4.4 1.8

d2 Groove Groove Lead-indepth width chamfert +0.05 b+0.25 C

4 3.7 4.8 24.3 4 5.1 24.5 4.2 5.4 2.35 4.65 5.9 2.35.3 4.95 6.4 2.7

5.33 4.95 6.4 2.75.5 5.15 6.5 2.85.7 5.35 6.8 36 5.6 7.2 3.16.5 6.1 7.8 3.3

6.99 6.55 8.4 3.67 6.6 8.4 3.67.5 7.1 8.9 3.88 7.6 9.5 48.4 7.9 10.1 4.2

8.5 8 10.2 4.29 8.5 10.8 4.39.5 9 11.4 4.3

10 9.5 12 4.5

t+0.

05

b+0.25

ø d3

h9ø

d9f7

ø d4

H8

Ra≤0.4

Ra≤3

.2

r2

r1

Ra≤1.6

rounded

C

20°

38

Design guidelines Once the dimensions and geometricshape of the installation housing havebeen determined, the following details must be observed for a correctfunction.

� Any component edges andtransition points that come into contactwith the O-ring should be burr-free,rounded and polished if necessary.

� The transition point between thegroove flank and groove base r2, andthe transition between the groove flank and component surface r1, must beslightly rounded.

The radii relating to the cross sectionare given in the following table:

d2 r1 r2

1 – 2 0.1 0.32 – 3 0.2 0.33 – 4 0.2 0.54 – 5 0.2 0.65 – 6 0.2 0.6

6 – 8 0.2 0.88 – 10 0.2 1

10 – 12 0.2 112 – 15 0.2 1.2

� The surface quality is to bedesigned for the particular application.For dynamic applications, the surfacemust be finer than for a static one; the same also applies for pulsatingpressures.

� Avoid marks, holes and scratches on the surface.

� Roughness values are classified toDIN 4768 with various parameters. Inmany cases, simply stating the averageroughness value Ra is not sufficient forclassifying the surface quality, and sothe average roughness depth Rz,maximum roughness depth Rmax andthe contact area percentage tp are alsoquoted. The contact area percentageshould be more than 50% if at allpossible.

b+0.25

0° up to 5°a r1

r2b

c

Surface qualities

Type of sealing Surface Pressure Ra [µm] Rz [µm] Rmax [µm]application

dynamic counter surface a ≤ 0.4 ≤ 1.2 ≤ 1.6radial groove base b ≤ 1.6 ≤ 3.2 ≤ 6.3

groove flanks c ≤ 3.2 ≤ 6.3 ≤ 10

static sealing surface a not ≤ 1.6 ≤ 6.3 ≤ 10radial / axial groove base b pulsating ≤ 3.2 ≤ 10 ≤ 12.5

groove flanks c ≤ 6.3 ≤ 12.5 ≤ 16

sealed surface a pulsating ≤ 0.8 ≤ 1.6 ≤ 3.2groove base b ≤ 1.6 ≤ 3.2 ≤ 6.3groove flanks c ≤ 3.2 ≤ 6.3 ≤ 10

39

Lead-in chamfers Lead-in chamfers should be used toprevent damage to the O-ring andensure correct installation.

The angles between the lead-inchamfers and the level should bebetween 15° and 20°. Chamfer lengths C are given in the groovedimension tables.

Sealing gap The gap that is to be sealed should beas small as possible, so the fits andtolerances shown on installation tablesand drawings should be observed.

However, do not forget that workingloads, such as those exerted on acylindrical tube under high pressure,will cause the gap to expand. If thegap is too big, there is a strong risk ofgap extrusion. This means that the O-ring migrates into the gap aspressure is applied, where it will soonbe destroyed.

In cases of dynamic sealing, the O-ringis destroyed by ripping and peeling.We recommend the use of back-uprings to protect the O-ring against gapextrusion.

Maximum permitted values for radial sealing gap g [mm]The permitted values for the sealing gap are determined by the pressure, material hardness and diameter.

Type of sealing Pressure [bar] Material hardness [Shore A]application 70 80 90

static ≤ 60 0.2 0.25 0.3> 60 – 100 0.1 0.2 0.25> 100 – 160 0.05 0.1 0.2> 160 – 250 – 0.05 0.1> 250 – 350 – – 0.05

dynamic ≤ 30 0.2 0.25 0.3> 30 – 60 0.1 0.17 0.2> 60 – 80 – 0.1 0.15> 80 – 100 – – 0.1

The gap dimensions given in the chart apply for all elastomer materials with the exception of silicone.

Back-up rings are to be used with bigger gap dimensions.

rounded burr-free

c

15°-

20°

15°-20°

c

g

ø d9

f7ø

d4H

8rounded burr-free

(d3-d1)d1

(da-d6)da

40

Layout guidelines In order to achieve the best possiblesealing effect, the chosen O-ringsshould have the biggest possible crosssection.

The hardness of the material destinedfor the O-ring depends on thepressures, gap widths (tolerances), typeof sealing application (static, dynamic),and surface quality of the items beingsealed. For standard applications werecommend a material hardness of 70 Shore A. For applications with, forexample, pulsating pressures, andespecially those under high pressure,we recommend materials of up to 90 Shore A.

DeformationThe sealing effect of the O-ring is provided by radial or axial deformation in the installation housing.

In a static application, the averagedeformation should be 15 – 30%,in relation to the cross section, in a dynamic (hydraulic) application 10 – 18%,and in a dynamic (pneumatic) application 4 – 12%

Stretching and compression O-rings can be stretched orcompressed to certain limits whilebeing installed without this affecting thesealing function. The installed O-ringshould not be stretched by more than6% (in relation to the inside diameter)as this could lead to an unacceptablylarge reduction of the cross-sectionalarea, and also level off the innersleeve. According to the rules ofGuldinus, a 1% expansion of the insidediameter leads to a 0.5% reduction incross section.

The compression of the O-ring shouldnot exceed 3%, as otherwise the O-ringcould distort in the groove.

Calculating the stretching andcompression of the O-ring is easy with the following formula:

Stretching = x100%

Compression = x100%

da = (d1 + 2 x d2)d1 = O-ring inside diameter d2 = O-ring cross section diameter d3 = groove base diameter / insided6 = groove base diameter / outside

Groove fillingThe rectangular cross section surface ofthe installation groove (except vacuum)should be about 25% bigger than thecircular cross section of the O-ring. This means the O-ring has enoughspace for a possible increase in volume if it comes into contact with anaggressive medium. Also, the mediumpressure may affect a large part of theO-ring surface in order to enhance thecontact pressure required to achievethe sealing effect. The groove fillinglevel should be 70% to 85%, and iseasy to calculate with the followingformula:

Groove filling level = x100%

AOR = d22 x

Agroove = t x b

π4

AORANut

41

General installationinstructions

Avoid damaging the O-ring duringinstallation as this will cause leakage.Observe the following:

� The O-ring must not be expandedto its elongation limit.

� Edges must be burr-free; radii andangles applied smoothly.

� Dust, dirt, metal chips and otherparticles are to be removed.

� Tips of screws and installationhousings for other sealing and guidingelements should be covered by anassembly sleeve.

� A suitable grease is to be appliedto the assembly surfaces and O-rings.

� Elastomer materials are madesmoother if they are heated in oil or hotwater to approx. 80°C. This makes iteasier to stretch the O-ring forassembly.

� Any assembly tools used, such asexpansion mandrels or sleeves, shouldbe made of a soft material (e.g. POM)and not have any sharp edges.

� The O-ring should not be rolledover assembly surfaces. Ensure the O-ring is not twisted as it slots into thegroove.

*radius’ edged, burnished


C

C

20°

20°

*

*


radius’ edged, burnished

*

42

Back-up rings Back-up rings are used to prevent O-rings from gap extrusion. In the caseof the combination of rising pressuresand large sealing gaps there is the risk,that the O-ring material will be pressedinto the sealing gap on the low pressure side. If this is repeated severaltimes and the pressure continues rising,the O-ring can be damaged irreversibleand finally get completely destroyed.

Back-up rings do not provide anysealing function. Through reduction ofthe sealing gap on the low pressureside they take care, that the O-ring canfulfill it’s sealing function without beingdamaged.

MaterialsThe selection of materials for back-uprings is primarily based upon thepressure and the appropriate extrusionresistance resp. hardness. Additionallyparameters like hight of the extrusiongap, media resistance and temperaturerange have to be taken intoconsideration. In practice there arevarious plastics and elastomers like forexample PTFE, PA, POM, polyurethane,polyesterelastomer as well as NBR,FPM und EPDM available.

Installation housingsBack-up rings are normally installed inwider designed housings on the lowpressure side. Because of the pluralityof O-ring housings which are commonin the market, the back-up ring dimen-sions normally have to be adapted tothe existing housing geometry.To layout back-up rings the followingparameters are required:

– housing dimensions, including tolerances

– type of application:static / dynamic sealinginternal / external sealing

– O-ring dimensionspressure, medium, temperature

If back-up rings from existing dimensionranges are used e.g. like NBR 90 theinstallation housing has to be designed according to theproducers guidelines.

Please contact us for any furtherassistance.

Standard-dimensions:

Internationalstandard

Dichtomatikdimensions

Dichtomatik dimensions

58

0.7 1.50.73 1.020.75 10.75 1.020.78 1.02

0.8 0.50.8 1.250.8 20.9 1.520.9 1.6

1 11 1.51 21.02 1.781.06 1.25

1.07 1.211.07 1.251.07 1.271.1 21.15 1

1.2 11.2 1.11.2 1.251.2 21.22 1.07

1.24 2.621.25 11.25 1.51.27 1.021.3 1

1.3 1.11.35 1.631.4 1.251.4 1.271.4 1.65

1.42 1.521.42 1.781.44 1.011.5 0.851.5 1

1.5 1.021.5 1.071.5 1.21.5 1.251.5 1.3

1.5 1.51.5 1.751.5 21.6 11.6 1.1

1.6 1.21.6 1.31.6 1.351.6 1.41.6 1.6

1.6 1.781.65 1.61.7 1.51.7 2.41.75 0.8

1.77 1.011.78 0.911.78 1.021.78 1.191.78 1.78

1.8 0.81.8 11.8 1.021.8 1.21.8 1.4

1.8 1.51.8 1.81.85 1.51.9 1.351.9 1.78

1.9 2.62 0.52 0.652 0.72 1

2 1.12 1.252 1.32 1.52 1.6

2 1.72 1.752 1.82 22 2.25

2 2.52 32.01 1.62.06 2.622.13 1.7

2.13 3.22.15 1.42.2 0.52.2 12.2 1.3

2.2 1.62.2 1.82.2 2.22.24 1.782.24 1.8

2.3 0.652.3 0.82.3 1.22.3 1.32.3 1.5

2.3 2.42.31 1.52.35 12.37 2.622.4 1.05

2.4 1.92.4 2.82.49 0.662.5 0.652.5 1

2.5 1.22.5 1.32.5 1.52.5 1.62.5 1.75

2.5 1.782.5 1.82.5 22.5 2.252.5 3

2.54 1.022.57 1.782.59 0.992.6 12.6 1.2

2.6 1.252.6 1.32.6 1.42.6 1.72.6 1.8

2.6 1.92.6 22.6 2.252.66 1.972.68 1.78

2.69 0.632.69 1.372.7 12.7 1.22.7 1.5

2.7 1.62.7 1.82.7 1.92.73 1.72.75 1.25

2.75 1.62.79 1.022.79 1.242.8 0.82.8 1

2.8 1.12.8 1.32.8 1.52.8 1.62.8 1.8

2.8 1.92.8 3.12.82 1.522.84 1.782.84 2.62

2.85 2.322.87 1.092.9 0.52.9 0.852.9 1

2.9 1.052.9 1.752.9 1.782.9 2.622.95 0.79

2.95 0.973 0.93 13 1.13 1.2

3 1.253 1.53 1.63 1.753 1.8

3 1.853 23 2.43 2.73 3

3 3.53 3.93 43 4.53.05 1.27

3.1 1.253.1 1.63.15 1.253.15 1.83.17 1.78

3.2 13.2 1.053.2 1.13.2 1.23.2 1.5

3.2 1.63.2 1.783.2 1.83.2 2.53.2 3

3.25 0.633.3 0.63.3 13.3 1.33.3 1.5

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

3.3 1.73.3 2.43.3 2.53.34 0.53.35 1.78

3.4 0.53.4 0.93.4 13.4 1.33.4 1.7

3.4 1.83.4 1.93.4 2.83.45 2.023.5 0.9

3.5 13.5 1.13.5 1.23.5 1.33.5 1.5

3.5 1.63.5 1.83.5 23.5 2.53.5 2.6

3.5 33.5 3.93.53 1.023.55 1.63.55 1.8

3.56 1.273.6 1.33.6 23.6 2.43.6 2.7

3.62 1.643.63 2.623.65 1.783.66 1.193.66 1.9

3.68 1.253.68 1.783.7 13.7 1.23.7 1.6

3.7 1.83.7 1.93.7 2.83.72 1.023.75 1.8

3.8 13.8 1.13.8 1.253.8 1.273.8 1.35

3.8 1.53.8 1.73.8 1.753.8 1.93.8 2.4

3.8 2.83.81 0.613.89 1.553.9 1.83.95 1.78

3.96 1.64 14 1.24 1.34 1.5

4 1.64 1.754 1.84 1.94 2

4 2.24 2.54 2.64 2.624 3

4 3.54 44 4.54 54 5.5

4.1 1.64.2 0.54.2 1.44.2 1.54.2 1.6

4.2 1.84.2 1.94.25 24.25 2.254.3 1

4.3 1.34.3 1.44.3 1.54.3 1.84.3 2.4

4.34 3.534.4 1.14.4 1.64.4 1.84.42 2.62

4.47 1.024.47 1.274.47 1.874.48 1.784.5 0.75

4.5 0.84.5 14.5 1.24.5 1.324.5 1.5

4.5 1.74.5 1.754.5 1.84.5 1.94.5 2

4.5 2.254.5 2.44.5 2.54.5 2.654.5 3

4.5 3.54.5 54.57 1.024.6 1.24.6 1.8

4.6 1.854.6 24.6 2.34.6 2.44.6 2.5

4.6 3.24.7 0.794.7 0.94.7 14.7 1.2

4.7 1.424.7 1.54.7 1.64.7 1.784.7 1.9

4.7 2.74.7 34.75 14.75 1.244.75 1.27

4.75 1.54.75 2.624.76 1.784.8 0.814.8 1.3

4.8 1.354.8 1.54.8 1.84.8 1.94.87 1.78

4.87 1.84.87 3.534.9 1.34.9 1.54.9 1.9

4.9 1.954.9 2.624.93 1.54.95 1.285 0.8

5 15 1.25 1.255 1.355 1.4

5 1.55 1.65 1.755 1.85 1.9

5 25 2.25 2.35 2.55 2.65

5 35 3.55 45 55 5.5

5 65 85.1 15.1 1.15.1 1.6

5.1 1.85.15 1.85.2 0.65.2 1.75.23 2.62

5.28 1.785.3 1.275.3 1.55.3 1.75.3 1.75

5.3 1.85.3 25.3 2.25.3 2.45.3 2.5

5.3 2.655.3 4.35.3 55.37 1.75.37 1.78

5.41 1.025.49 1.355.5 15.5 1.255.5 1.3

5.5 1.55.5 1.65.5 1.85.5 25.5 2.3

5.5 2.45.5 2.55.5 35.5 3.55.51 1.24

5.56 1.595.59 3.055.6 15.6 1.25.6 1.7

5.6 1.85.6 25.6 2.35.6 2.45.6 2.5

5.64 2.625.67 1.785.69 2.185.7 15.7 1.2

5.7 1.45.7 1.785.7 1.95.7 2.155.74 1.02

5.75 15.75 2.155.79 1.025.8 1.55.8 1.6

5.8 1.785.8 1.95.8 2.65.82 1.25.88 2.62

5.9 0.95.9 1.85.9 2.055.9 2.555.94 3.53

6 0.756 16 1.16 1.26 1.3

6 1.46 1.56 1.66 1.76 1.75

6 1.86 1.96 26 2.16 2.2

6 2.36 2.46 2.56 2.66 2.65

6 2.76 2.756 2.86 36 3.2

6 3.56 3.756 46 4.56 5

6 5.26 5.56 66 6.56 7

6.02 2.626.03 1.886.07 0.766.07 1.026.07 1.3

6.07 1.636.07 1.786.07 1.886.1 1.66.1 1.8

6.14 1.786.15 16.17 1.726.2 16.2 1.74

6.2 1.86.2 1.836.2 1.96.2 26.2 3

6.2 4.16.3 0.66.3 1.56.3 1.66.3 1.8

6.3 26.3 2.396.3 2.46.3 2.66.3 4.8

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

59


60

6.35 0.816.35 0.896.35 16.35 1.66.35 1.78

6.35 2.036.35 3.286.36 1.586.4 1.36.4 1.8

6.4 1.96.4 2.56.5 16.5 1.16.5 1.25

6.5 1.56.5 1.556.5 1.66.5 1.96.5 2

6.5 2.086.5 2.26.5 2.56.5 36.5 3.2

6.5 3.56.5 46.5 4.756.5 56.55 1

6.55 1.16.55 1.556.55 3.76.6 2.46.7 1.4

6.7 1.56.7 1.86.7 1.96.7 26.71 2.01

6.75 1.786.8 1.36.8 1.66.8 1.856.8 1.9

6.8 26.8 2.26.8 2.46.8 2.626.85 1.1

6.86 1.786.9 1.86.9 2.656.9 3.56.97 3.53

6.97 3.577 0.67 17 1.27 1.3

7 1.357 1.47 1.57 1.587 1.6

7 1.77 1.87 27 2.27 2.3

7 2.57 2.77 37 3.57 4

7 4.57 57 5.57 67 12

7.01 1.197.06 1.177.1 1.57.1 1.67.1 1.8

7.14 3.577.2 17.2 1.37.2 1.787.2 1.9

7.2 2.27.2 2.47.2 4.97.24 2.447.28 1.78

7.3 1.27.3 1.787.3 2.27.3 2.47.3 2.7

7.3 3.27.37 1.147.4 27.4 37.44 0.99

7.5 0.87.5 17.5 1.27.5 1.277.5 1.3

7.5 1.57.5 1.67.5 1.77.5 1.787.5 1.8

7.5 1.857.5 1.97.5 27.5 2.27.5 2.3

7.5 2.47.5 2.57.5 2.87.5 37.5 3.5

7.5 57.52 3.537.59 2.627.6 1.27.6 1.3

7.6 1.57.6 1.67.6 1.87.6 1.97.6 2

7.6 2.47.6 2.627.6 37.6 47.62 1.27

7.64 1.637.65 1.637.65 1.687.65 2.627.65 2.65

7.66 1.787.66 2.47.7 0.87.7 1.57.7 1.9

7.7 27.75 2.627.8 1.257.8 1.67.8 1.75

7.8 1.87.8 1.97.8 27.8 2.57.8 5

7.87 1.377.9 0.517.9 0.797.9 0.87.9 1.25

7.9 1.67.9 1.87.9 2.17.9 2.37.9 2.5

7.9 4.77.92 2.627.94 1.787.94 4.768 0.6

8 18 1.18 1.28 1.258 1.5

8 1.68 1.648 1.78 1.758 1.8

8 1.98 28 2.028 2.18 2.2

8 2.48 2.58 2.68 2.628 2.8

8 38 3.38 3.58 3.78 4

8 4.28 4.58 58 68 8

8.04 18.1 1.68.1 2.18.13 1.788.2 1.65

8.2 1.98.2 28.28 1.38.3 18.3 2.4

8.32 1.788.38 1.278.4 1.88.4 2.58.43 0.79

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

8.45 2.158.48 1.788.5 18.5 1.278.5 1.35

8.5 1.58.5 1.68.5 1.88.5 1.98.5 2

8.5 2.58.5 38.5 3.58.5 48.51 0.9

8.51 1.788.55 2.18.56 2.628.6 1.68.6 2.4

8.6 38.6 3.38.64 2.038.65 1.788.66 1.05

8.7 1.658.7 28.7 2.98.73 1.788.76 1.8

8.8 1.48.8 1.98.8 2.48.8 2.78.8 3.2

8.9 1.58.9 1.68.9 1.88.9 1.98.9 2.6

8.9 2.78.92 1.839 0.89 19 1.2

9 1.49 1.59 1.69 1.659 1.8

9 1.859 29 2.29 2.259 2.3

9 2.59 2.69 2.659 2.759 2.9

9 39 3.29 3.59 49 4.5

9 59 5.59 69 109.02 1.78

9.1 1.69.1 1.659.12 1.79.12 3.539.13 2.62

9.19 1.789.19 2.629.2 19.2 1.19.2 1.6

9.2 1.99.2 29.2 2.659.2 3.59.24 1.52

9.25 1.789.25 1.839.25 1.869.25 2.629.3 1.5

9.3 29.3 2.29.3 2.49.3 39.4 1

9.4 1.029.4 1.99.4 2.19.4 2.39.5 0.8

9.5 19.5 1.39.5 1.49.5 1.59.5 1.6

9.5 1.79.5 1.89.5 1.99.5 29.5 2.1

9.5 2.29.5 2.49.5 2.59.5 2.629.5 2.75

9.5 2.89.5 2.99.5 39.5 3.29.5 3.5

9.5 4.59.5 59.5 69.5 6.79.52 1.78

9.52 2.619.53 1.149.6 1.69.6 29.6 2.3

9.6 2.49.6 2.59.6 2.959.6 4.89.65 0.66

9.66 1.789.7 19.7 1.279.7 1.39.75 1.78

9.75 2.359.75 2.59.8 0.569.8 19.8 1.5

9.8 1.69.8 1.79.8 1.99.8 2.49.8 2.7

9.8 2.89.8 39.83 1.859.88 0.569.9 1.8

9.9 1.99.9 2.49.9 2.69.92 1.839.92 1.9

9.92 2.6210 0.610 110 1.2510 1.3

10 1.410 1.510 1.610 1.7810 1.8

10 1.910 210 2.110 2.210 2.4

10 2.510 2.610 2.6510 2.710 2.8

10 310 3.110 3.310 3.510 4

10 4.510 510 610 6.510 7

10 810 1010.1 110.1 1.610.1 1.7

10.1 1.7510.1 1.810.15 2.3410.16 1.5710.2 2.4

10.2 2.510.28 2.6610.3 1.210.3 1.710.3 2.05

10.3 2.410.3 310.32 1.7810.35 1.9210.4 1

10.4 2.210.4 2.510.4 2.810.4 410.45 2

10.46 5.3310.5 110.5 1.510.5 1.7510.5 1.8

10.5 1.8310.5 1.910.5 210.5 2.2510.5 2.3

10.5 2.410.5 2.510.5 2.610.5 2.710.5 3

10.5 3.2510.5 3.510.5 4.510.5 5.910.52 1.83

10.57 1.510.6 110.6 1.310.6 1.810.6 2

10.6 2.310.6 2.410.6 2.610.6 2.6510.6 4.5

10.6 6.710.64 1.1210.69 3.5310.7 1.110.77 2.95

10.78 2.6210.8 1.210.8 1.310.8 1.510.8 1.6

10.8 1.710.8 1.7510.8 1.810.8 1.910.8 2

10.8 2.210.8 2.410.8 2.610.8 2.6510.8 2.75

10.8 2.810.8 310.82 1.2810.82 1.7810.85 2.75

10.9 1.2510.9 2.0311 0.711 111 1.2

11 1.2511 1.311 1.511 1.611 1.75

11 1.811 1.8511 1.911 211 2.2

11 2.2511 2.311 2.411 2.511 2.75

11 2.811 311 3.211 3.511 4

11 4.511 511 5.211 5.311 5.5

11 611 711 811.08 1.811.1 1.2

11.1 1.611.1 2.311.1 5.511.11 1.5911.11 1.78

11.11 2.3811.18 1.2711.2 1.311.2 1.811.2 1.9

11.2 2.211.2 2.311.2 2.511.2 2.7511.2 4.3

11.2 7.611.3 1.211.3 1.311.3 1.611.3 1.75

11.3 211.3 2.211.3 2.411.3 2.511.3 2.7

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

61


62

11.4 1.711.4 2.111.4 4.411.5 111.5 1.25

11.5 1.311.5 1.511.5 1.611.5 1.7811.5 1.9

11.5 211.5 2.111.5 2.211.5 2.411.5 2.5

11.5 2.711.5 2.811.5 311.5 3.511.5 4

11.6 1.211.6 1.611.6 1.711.6 1.7811.6 2.3

11.6 2.411.6 2.511.6 2.811.6 2.911.6 2.95

11.6 6.3511.64 1.7811.7 2.311.7 2.6211.7 2.7

11.7 3.511.7 5.811.77 3.1511.8 1.511.8 1.8

11.8 1.911.8 2.111.8 2.311.8 2.411.8 2.5

11.8 2.6511.8 2.811.8 311.8 3.5311.8 10

11.84 2.411.89 1.9811.9 1.7811.9 2.6311.91 2.62

11.99 0.8112 112 1.212 1.512 1.6

12 1.712 1.7512 1.812 1.8512 1.9

12 212 2.2512 2.412 2.512 2.7

12 2.7512 2.812 312 3.0512 3.2

12 3.2512 3.312 3.512 3.812 4

12 4.512 512 5.512 612 7

12 812 912 1012.07 5.3312.1 1.3

12.1 1.612.1 1.712.1 1.812.1 1.912.1 2.1

12.1 2.212.1 2.3512.1 2.412.1 2.712.17 1.27

12.2 1.312.2 1.712.2 1.912.2 2.512.2 2.8

12.2 3.212.2 4.412.25 2.812.29 3.5312.3 1

12.3 2.412.3 2.512.37 2.6212.37 2.7612.4 1

12.4 1.912.4 212.4 2.1812.4 2.612.4 2.7

12.42 1.7812.45 1.0212.47 1.7812.5 112.5 1.1

12.5 1.512.5 1.712.5 1.7512.5 1.812.5 2

12.5 2.212.5 2.2512.5 2.512.5 2.612.5 2.65

12.5 2.7512.5 312.5 3.212.5 3.512.5 4.2

12.5 812.6 2.412.6 2.512.6 2.712.6 3.25

12.6 3.512.6 3.612.64 1.7812.65 2.7712.7 1.6

12.7 1.712.7 1.812.7 212.7 2.6212.7 2.8

12.7 3.1812.7 3.212.7 4.9612.72 2.6212.73 1.57

12.73 1.6312.78 6.0512.8 1.612.8 1.812.8 2.4

12.8 2.812.8 3.212.8 4.512.9 1.2412.9 9.9

12.95 0.8613 113 1.213 1.2513 1.3

13 1.413 1.513 1.613 1.713 2

13 2.1513 2.3513 2.413 2.513 2.6

13 2.713 2.7513 2.813 313 3.2

13 3.2813 3.513 3.613 3.813 4

13 4.513 513 5.513 613 8

13.1 1.613.1 2.6213.1 3.1813.2 1.613.2 1.78

13.2 1.813.2 1.913.2 2.513.2 2.6513.23 1.78

13.3 1.813.3 2.213.3 2.413.3 3.813.34 1.32

13.34 1.3413.34 1.813.4 1.913.4 2.113.4 2.7

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

13.4 2.813.44 2.113.44 2.513.44 2.6213.46 2.08

13.5 113.5 1.313.5 1.513.5 1.613.5 1.87

13.5 213.5 2.113.5 2.413.5 2.513.5 2.6

13.5 2.713.5 2.7513.5 313.5 3.513.5 4.25

13.5 513.54 3.613.6 1.613.6 213.6 2.2

13.6 2.313.6 2.413.6 2.513.6 2.713.6 2.75

13.6 2.813.6 313.6 3.613.64 5.3313.65 2.62

13.7 2.913.7 4.1513.8 1.913.8 213.8 2.4

13.8 2.5413.8 313.8 613.85 1.5213.87 1.7

13.87 3.5313.9 2.313.9 2.413.94 3.613.95 2.62

13.95 2.6513.95 2.7214 0.4114 0.5514 1

14 1.114 1.214 1.2514 1.314 1.4

14 1.514 1.614 1.7814 1.814 1.9

14 214 2.0814 2.114 2.214 2.3

14 2.414 2.514 2.614 2.6514 2.7

14 2.7514 2.814 2.914 314 3.15

14 3.214 3.514 3.5514 3.914 4

14 4.514 514 5.314 614 6.5

14 714 7.514 814 1014.01 2.62

14.1 114.1 1.614.1 2.214.1 2.514.12 2.62

14.2 1.214.2 1.914.2 2.814.2 314.2 5.5

14.27 1.5914.27 6.3514.3 0.7614.3 1.7514.3 2

14.3 2.414.3 3.514.3 414.4 114.4 1.8

14.4 214.43 1.7814.5 114.5 1.514.5 1.6

14.5 1.6514.5 1.814.5 214.5 2.414.5 2.5

14.5 314.5 3.514.5 414.5 4.514.5 5

14.5 5.714.5 5.814.6 2.414.6 2.4814.6 2.6

14.6 2.9514.6 3.214.61 2.5214.61 3.2814.63 3.53

14.65 214.68 1.0214.7 1.414.7 1.5714.8 1.5

14.8 2.414.81 1.0214.82 1.7814.85 1.514.87 3.53

14.9 2.4514.94 2.9215 115 1.215 1.25

15 1.315 1.515 1.615 1.7815 1.8

15 1.8215 215 2.1515 2.2515 2.4

15 2.515 2.615 2.6515 2.715 2.9

15 315 3.215 3.515 3.5515 3.8

15 415 4.2515 4.515 515 5.5

15 5.615 615 715 815 9

15 1015 12.515.08 1.7815.08 2.6215.1 1.6

15.1 2.615.1 2.715.2 1.7815.2 1.815.2 2.8

15.2 415.22 2.6215.24 1.3315.24 5.3315.3 1.78

15.3 215.3 2.315.3 2.415.3 4.315.39 0.76

15.4 115.4 1.515.4 2.115.4 315.47 3.53

15.5 115.5 1.2515.5 1.515.5 1.5515.5 1.75

15.5 1.915.5 215.5 2.315.5 2.415.5 2.5

15.5 315.5 3.115.5 3.2515.5 3.515.5 3.8

15.5 415.5 4.215.5 4.315.5 4.515.5 5.3

15.54 2.6215.54 2.8215.55 2.6515.6 1.7815.6 1.96

15.6 215.6 2.315.6 2.415.6 2.515.6 2.6

15.6 2.9515.6 315.6 3.2515.6 3.415.7 1.3

15.7 2.715.7 2.915.8 1.815.8 2.415.8 4.1

15.85 2.415.88 1.7815.88 2.3615.88 2.6215.88 3.96

15.9 2.315.9 2.415.9 2.5515.9 2.716 0.9

16 116 1.216 1.2516 1.516 1.6

16 1.716 1.7816 1.816 1.916 2

16 2.116 2.216 2.2516 2.316 2.4

16 2.516 2.616 2.6516 2.716 2.8

16 316 3.1516 3.516 3.5516 4

16 4.2516 4.516 4.7516 516 5.5

16 5.616 616 716 816 10

16 1216.03 1.5716.1 1.616.1 1.816.1 2.25

16.1 2.316.1 2.6216.1 316.1 3.516.2 1.15

16.2 2.2516.3 2.416.3 2.516.3 2.616.33 0.79

16.36 2.216.36 2.2116.4 1.316.4 1.7816.4 2.2

16.5 116.5 1.516.5 216.5 2.2516.5 2.5

16.5 316.5 3.516.5 916.55 2.1316.56 1.78

16.6 116.6 1.7816.6 2.416.66 3.5316.7 1.45

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

63


64

16.7 2.516.75 1.7816.79 116.8 2.216.8 2.4

16.8 2.816.81 5.3316.9 2.716.9 2.7517 1

17 1.117 1.217 1.317 1.517 1.6

17 1.7817 1.817 217 2.217 2.4

17 2.517 2.6517 2.717 2.817 2.9

17 317 3.217 3.2517 3.3517 3.5

17 3.5517 3.817 417 4.217 4.5

17 517 5.3317 5.517 617 6.5

17 717 817 1017 1217.04 3.53

17.1 1.317.1 1.5817.1 1.617.12 1.1417.12 2.62

17.13 2.6217.13 2.7917.16 1.7817.2 117.2 1.5

17.2 1.617.2 1.917.2 2.6217.2 317.2 5.7

17.25 1.217.25 317.27 4.0117.3 117.3 1.75

17.3 2.217.3 2.417.3 417.35 1.517.37 4.34

17.4 1.617.4 2.117.4 2.517.4 2.5517.4 2.8

17.4 3.5317.46 1.5917.46 2.6217.5 117.5 1.3

17.5 1.517.5 1.617.5 1.817.5 217.5 2.4

17.5 2.517.5 2.617.5 2.717.5 317.5 3.15

17.5 3.2517.5 3.517.5 417.5 4.217.5 6.25

17.5 917.6 117.6 1.8317.6 2.417.61 2.62

17.69 2.6217.7 117.7 1.317.74 1.7817.8 1.5

17.8 1.817.8 2.417.8 2.617.8 317.8 10

17.86 2.6217.86 2.7617.86 3.617.9 1.317.9 2.6

17.9 2.817.93 1.7817.93 1.817.93 2.4617.96 2.62

18 118 1.1518 1.318 1.518 1.65

18 1.818 218 2.218 2.318 2.5

18 2.6518 2.7518 2.818 318 3.15

18 3.518 3.5518 3.718 418 4.2

18 4.518 518 5.218 5.7518 6

18 6.518 718 818 8.518 9

18 9.518 1118.1 1.618.2 1.618.2 1.7

18.2 1.918.2 2.618.2 2.718.2 318.2 3.5

18.2 3.818.27 2.618.3 1.0218.3 2.418.3 2.6

18.3 318.3 3.618.4 1.7818.4 2.718.4 2.8

18.42 1.0218.42 5.3318.45 4.4518.5 118.5 1.2

18.5 1.518.5 1.618.5 1.718.5 1.818.5 2

18.5 2.218.5 2.518.5 318.5 3.518.5 3.7

18.5 4.518.5 5.318.52 3.7518.6 1.318.6 1.8

18.6 2.318.6 2.418.6 2.718.64 3.5318.7 1.3

18.7 1.918.7 318.72 2.6218.72 2.8218.72 3.15

18.77 1.7818.77 1.8518.8 1.8518.8 218.8 2.4

18.8 318.9 1.718.9 319 119 1.3

19 1.519 1.619 1.719 1.7519 1.78

19 1.819 219 2.219 2.319 2.4

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

19 2.519 2.619 2.6519 2.719 2.75

19 319 3.1519 3.219 3.3519 3.4

19 3.519 3.5519 3.619 419 4.5

19 519 5.519 619 6.519 6.8

19 719 819 919 1019.05 0.89

19.05 1.7819.05 2.6219.05 2.6919.05 6.3519.1 1.6

19.1 1.7819.1 2.419.17 1.7819.18 2.4619.2 2

19.2 2.319.2 2.419.2 2.519.2 2.6219.2 3

19.2 3.419.2 419.25 1.7819.3 1.519.3 1.78

19.3 2.219.3 2.419.3 3.519.3 4.519.3 4.6

19.4 1.319.4 2.119.4 2.419.4 2.619.4 4.65

19.4 1419.45 819.46 2.0319.5 119.5 1.5

19.5 1.7819.5 1.819.5 219.5 2.419.5 2.5

19.5 2.819.5 319.5 3.2519.5 3.519.5 4

19.5 5.319.5 619.5 819.5 8.419.51 2.03

19.6 2.319.6 2.419.6 319.6 3.5319.6 4

19.6 4.819.7 1.519.7 1.719.7 219.7 2.55

19.7 3.519.7 3.619.75 819.8 1.319.8 1.78

19.8 1.9819.8 2.319.8 2.419.8 3.219.8 3.6

19.84 2.3919.9 2.619.99 5.3320 120 1.2

20 1.320 1.420 1.520 1.620 1.7

20 1.7820 1.820 220 2.220 2.4

20 2.4220 2.520 2.6220 2.6520 2.7

20 2.820 320 3.1520 3.2520 3.3

20 3.520 3.5520 3.620 420 4.15

20 4.320 4.420 4.520 520 5.25

20 5.3320 5.520 5.720 620 6.5

20 720 7.520 820 1020 12

20.07 0.920.1 1.620.12 220.15 2.4520.2 1.78

20.2 2.520.2 2.720.2 320.2 5.320.2 6

20.22 3.5320.22 4.0420.24 1.7820.29 2.6220.3 2.4

20.3 320.35 1.7820.4 2.520.5 120.5 1.5

20.5 1.820.5 220.5 2.420.5 2.520.5 2.6

20.5 320.5 3.220.5 420.5 520.5 5.75

20.5 7.520.6 1.520.6 1.920.6 2.320.6 2.4

20.63 2.6220.65 5.3320.72 2.6220.75 3.5320.8 1.5

20.8 1.7820.8 1.920.8 2.420.8 2.720.8 2.8

20.8 420.9 1.520.9 5.720.96 3.2821 1

21 1.521 1.7521 221 2.221 2.4

21 2.521 2.7521 321 3.1721 3.5

21 421 4.521 521 621 6.5

21 721 821 8.521 1021 12

21.1 1.8521.1 1.921.1 2.521.2 1.421.2 1.78

21.2 1.821.2 1.921.2 2.221.2 2.421.2 2.5

21.2 2.6521.2 321.2 3.221.2 3.321.2 3.55

21.2 3.621.2 421.2 4.921.25 2.0521.3 1

21.3 1.621.3 1.821.3 2.421.3 3.521.3 3.53

21.3 3.621.3 3.9521.35 321.4 1.621.4 2.4

21.49 2.0121.5 121.5 1.221.5 1.521.5 1.7

21.5 221.5 2.221.5 2.421.5 2.521.5 2.75

21.5 321.5 3.521.5 3.921.5 421.5 4.5

21.5 521.5 7.221.59 5.3321.6 1.7821.6 2

21.6 2.421.65 3.6521.7 121.7 3.521.75 3.9

21.8 1.521.8 2.421.8 321.8 3.521.82 3.15

21.82 3.5321.82 3.7121.82 4.221.89 2.6221.92 2.95

21.95 1.7821.95 222 122 1.122 1.2

22 1.322 1.422 1.522 1.722 1.78

22 1.822 222 2.1522 2.222 2.3

22 2.422 2.522 2.6222 2.722 3

22 3.222 3.522 3.622 3.722 4

22 4.522 522 5.522 622 6.5

22 6.7522 722 7.522 7.822 8

22 922 1022 1122 11.522.05 1.5

22.05 1.622.08 0.822.1 1.622.1 222.1 3.5

22.16 5.3522.2 1.822.2 222.2 322.2 3.1

22.2 3.222.2 3.622.2 4.722.22 2.6222.22 3.5

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

65


66

22.22 4.3222.23 3.9622.23 6.3522.26 6.3322.3 2.4

22.3 2.4822.3 2.522.3 322.33 1.0222.4 1.5

22.4 1.822.4 2.522.4 2.6522.4 3.1522.4 3.2

22.4 3.5522.4 522.42 1.7822.5 122.5 1.4

22.5 1.522.5 222.5 2.422.5 2.522.5 2.75

22.5 2.822.5 322.5 3.122.5 3.2522.5 3.5

22.5 3.722.5 422.5 4.522.5 522.5 7

22.53 3.2822.6 1.122.6 1.822.6 3.222.67 1.78

22.7 1.522.7 1.7822.7 2.322.7 2.622.7 2.8

22.8 0.822.8 1.522.8 3.1522.8 5.322.89 1

23 123 1.223 1.523 1.7523 2

23 2.323 2.423 2.523 2.723 2.9

23 323 3.223 3.2323 3.523 3.6

23 423 4.3323 4.523 523 5.3

23 5.523 623 6.523 723 8

23 923 1023 1123 12.523 13

23 1623.17 5.3323.2 3.5323.3 223.3 2.4

23.3 2.923.3 323.3 5.323.35 1.7823.4 1.6

23.4 2.323.4 2.723.4 3.5323.4 4.2723.4 5.8

23.4 5.9923.47 2.6223.47 2.9523.47 2.9623.5 1

23.5 1.523.5 1.7823.5 223.5 2.323.5 2.4

23.5 2.523.5 2.5523.5 2.723.5 323.5 3.5

23.5 3.7223.5 423.5 523.5 5.2523.5 6

23.5 6.523.5 7.2523.5 8.423.52 1.8323.53 1.78

23.55 0.7123.59 123.6 1.0223.6 1.723.6 1.8

23.6 223.6 2.523.6 2.6523.6 3.1523.6 3.2

23.6 3.523.6 3.5523.7 1.5823.7 1.7823.7 1.9

23.7 2.3823.7 3.523.74 0.6123.75 3.5323.75 5

23.79 6.3523.8 1.323.8 1.623.8 3.523.81 1.78

23.81 2.6223.9 523.95 3.5323.99 2.6224 1

24 1.124 1.224 1.324 1.524 1.6

24 1.724 1.7824 224 2.124 2.2

24 2.2524 2.324 2.424 2.524 2.7

24 2.824 324 3.1524 3.524 3.6

24 3.824 424 4.524 4.824 5

24 5.524 624 6.524 724 8

24 924 1024 12.524 1324.1 1.624.18 1.724.2 1.7824.2 2.424.2 2.524.2 324.2 3.3

24.2 3.524.2 4.124.2 5.724.28 1.8524.3 2.4

24.4 324.4 3.124.4 3.224.4 3.524.45 1.2

24.5 124.5 1.524.5 1.824.5 224.5 2.4

24.5 2.524.5 2.724.5 2.824.5 324.5 3.6

24.5 3.6524.5 424.5 4.524.5 5.2524.5 5.5

24.5 624.6 1.824.6 2.424.6 2.924.6 3

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

24.6 3.1524.6 3.424.6 3.524.6 3.624.64 2.62

24.66 1.7824.7 1.724.7 2.6724.7 324.7 3.5

24.76 2.6224.77 524.77 5.3324.8 124.8 1.5

24.8 1.924.8 2.224.8 3.424.8 5.524.8 6

24.8 724.9 3.624.9 3.824.99 1.2724.99 3.53

25 125 1.225 1.325 1.525 1.6

25 1.725 1.7625 1.825 225 2.2

25 2.325 2.425 2.525 2.625 2.65

25 325 3.1525 3.225 3.325 3.5

25 3.5525 3.625 3.725 425 4.15

25 4.325 4.525 525 5.3325 5.5

25 5.725 625 6.525 725 7.5

25 825 925 1025 1225 13

25 1425 1525 15.525.04 2.9525.07 2.62

25.1 1.625.12 1.7825.12 225.12 2.0325.2 1.2

25.2 1.725.2 1.825.2 2.325.2 2.525.2 2.9

25.2 325.2 3.225.2 3.525.25 2.825.3 1.6

25.3 2.425.3 2.625.3 325.4 1.525.4 1.58

25.4 2.525.4 3.1725.4 3.1825.4 3.525.4 3.53

25.4 425.4 6.3525.5 125.5 1.225.5 1.6

25.5 1.7825.5 1.825.5 225.5 2.525.5 3

25.5 3.225.5 3.525.5 3.725.5 4.525.5 5

25.5 5.525.6 1.7825.6 5.4925.67 1.7825.7 1.5

25.7 1.925.7 3.525.8 1.825.8 2.6525.8 3.2

25.8 3.5325.8 3.5525.8 6.925.9 4.826 1

26 1.226 1.326 1.3726 1.526 1.6

26 1.7826 226 2.126 2.1526 2.2

26 2.326 2.426 2.526 2.626 3

26 3.226 3.526 3.626 3.6726 3.7

26 426 4.526 526 5.526 6

26 6.526 726 826 8.7526 9

26 1026 1226.07 2.6226.2 2.326.2 3

26.2 3.626.25 2.3526.3 226.3 2.426.33 2

26.34 5.3326.4 5.226.5 126.5 1.226.5 1.5

26.5 1.726.5 1.826.5 226.5 2.326.5 2.5

26.5 2.6526.5 326.5 3.1526.5 3.2526.5 3.5

26.5 3.5526.5 426.5 826.57 326.58 3.53

26.59 2.9526.6 2.226.6 2.426.6 3.526.64 2.62

26.7 1.7826.7 2.526.77 2.126.8 1.626.8 2.5

26.8 326.8 426.9 1.526.9 227 1

27 1.1527 1.327 1.527 1.7827 2

27 2.227 2.527 2.727 327 3.2

27 3.527 427 4.527 527 5.25

27 5.3327 5.527 627 6.527 7

27 827 1227 1327 1627.1 1

27.1 1.627.2 5.727.28 3.5327.3 2.427.3 2.5

27.3 2.727.3 3.227.31 3.2827.38 0.7627.4 2.5

27.4 2.727.4 327.4 3.5327.4 427.43 4.57

27.5 127.5 1.127.5 1.2527.5 1.527.5 2

27.5 2.327.5 2.427.5 2.527.5 2.727.5 3

27.5 3.227.5 427.5 4.527.5 627.5 6.8

27.5 7.527.56 3.1727.58 1.727.6 1.7827.6 2.2

27.6 2.427.6 627.7 2.427.7 2.727.7 3.4

27.7 3.527.8 1.527.8 1.7827.8 227.8 2.62

27.8 327.8 3.227.8 3.527.8 3.5327.8 3.6

27.8 527.8 827.93 5.3328 128 1.3

28 1.528 1.628 1.728 1.828 1.9

28 228 2.228 2.328 2.528 2.62

28 2.6528 2.828 328 3.1528 3.2

28 3.2528 3.428 3.528 3.5528 3.65

28 3.728 428 4.128 4.328 4.4

28 4.528 4.7528 528 5.328 5.5

28 628 6.528 728 828 8.5

28 8.7528 1028 1128 1228.1 2.62

28.1 4.328.15 3.228.17 3.5328.17 3.7328.2 1

28.2 328.2 5.328.25 2.6228.3 128.3 1.6

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

67


68

28.3 1.7828.3 1.828.3 228.3 2.428.3 2.7

28.3 3.128.3 3.5528.4 328.42 2.6228.45 3.18

28.5 128.5 1.528.5 1.828.5 228.5 2.5

28.5 328.5 3.328.5 3.528.5 428.5 4.25

28.5 4.528.56 2.3828.6 1.628.6 2.228.6 3.5

28.7 3.528.75 3.5328.8 2.528.8 3.228.8 3.53

28.87 1.7828.88 3.2828.9 328.9 3.128.9 3.6

29 129 1.529 1.7829 1.829 2

29 2.529 329 3.1529 3.329 3.5

29 429 4.529 529 629 8

29 8.329 8.529 1029 1629.1 1.6

29.1 2.5529.1 329.2 2.6229.2 329.2 3.3

29.2 3.529.2 4.729.25 1.629.28 2.829.3 1

29.3 1.7829.3 2.6229.3 3.629.4 129.4 3

29.4 3.129.45 4.3929.5 129.5 1.229.5 1.5

29.5 229.5 2.329.5 2.529.5 2.729.5 3

29.5 3.1529.5 3.529.5 3.629.5 4.529.5 5

29.5 5.729.5 8.529.51 5.3329.6 2.429.69 1.14

29.7 129.7 2.729.7 2.829.7 329.7 3.5

29.74 2.9529.75 129.75 3.5329.8 129.8 3.2

29.8 4.529.82 2.6229.87 1.5229.87 1.7829.9 1

29.9 3.5329.92 2.6230 130 1.230 1.5

30 1.830 1.8230 230 2.230 2.3

30 2.430 2.530 2.6530 2.730 2.8

30 330 3.130 3.1530 3.230 3.5

30 3.5530 3.630 3.730 430 4.3

30 4.430 4.530 4.830 530 5.33

30 5.530 5.730 5.830 630 6.5

30 730 7.530 830 930 10

30 1130 1230 1330 17.530.1 2.62

30.16 2.3830.2 130.2 330.2 3.630.23 1.27

30.3 2.430.3 5.730.35 3.630.43 1.7830.5 1

30.5 1.530.5 230.5 2.530.5 330.5 5

30.5 730.5 1530.6 130.7 3.530.75 1

30.8 1.7830.8 2.530.8 3.5330.8 3.630.8 3.7

30.8 4.530.81 3.7830.95 2.6431 1.531 1.7

31 231 2.131 2.231 2.531 3

31 3.531 3.731 3.831 431 4.5

31 4.731 531 5.331 5.531 6

31 6.431 6.531 831 931 9.5

31 1031 1231 1431 1531 18.5

31.1 0.831.1 1.431.12 5.3331.14 0.7931.2 2.4

31.2 331.2 3.531.2 4.731.3 231.3 3.5

31.34 1.9831.34 3.5331.4 531.42 1.531.42 1.78

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

31.42 2.631.42 2.6231.42 2.831.47 1.7831.5 1.2

31.5 1.531.5 1.7531.5 1.831.5 1.9531.5 2

31.5 2.531.5 2.6531.5 331.5 3.1531.5 3.3

31.5 3.531.5 3.5531.5 3.6531.5 431.5 4.5

31.5 531.5 5.331.5 631.5 6.531.6 1.32

31.6 1.631.6 2.431.63 231.7 3.231.7 3.5

31.74 1.7831.75 1.5731.75 1.631.75 2.0331.75 3.17

31.75 6.3531.8 131.8 1.431.8 1.531.8 1.6

31.8 3.231.8 3.532 132 1.132 1.25

32 1.332 1.532 1.632 1.7832 1.8

32 232 2.232 2.332 2.432 2.5

32 2.632 2.732 2.832 332 3.2

32 3.532 3.5332 3.632 432 4.2

32 4.532 532 5.532 5.732 6

32 6.232 6.532 732 832 9

32 1032 1232 13.532 1432 16

32.05 1.5532.1 1.632.11 3.4532.15 3.5332.2 1.4

32.2 2.532.2 332.2 432.21 1.7832.3 2

32.3 5.732.4 2.132.4 332.5 1.532.5 1.7

32.5 1.832.5 232.5 2.232.5 2.432.5 2.5

32.5 2.632.5 2.6532.5 2.8532.5 332.5 3.5

32.5 3.5532.5 3.632.5 432.5 532.5 5.7

32.6 1.232.6 1.832.6 2.432.69 5.3332.7 1.3

32.7 1.532.7 332.7 5.3332.7 6.532.9 5.3

32.92 3.5332.92 5.3332.92 5.5333 133 1.2

33 1.533 1.7833 233 2.533 2.62

33 2.833 333 3.533 433 4.5

33 533 5.233 5.733 633 6.5

33 733 7.533 833 933 10

33 1233 1433.05 1.7833.12 1.5233.12 3.53

33.2 1.333.2 2.433.2 3.533.21 3.5333.27 1.58

33.27 1.7833.3 1.333.3 233.3 2.433.3 2.6

33.3 433.32 3.5333.34 2.3833.4 233.4 3

33.5 133.5 1.533.5 1.633.5 1.833.5 2

33.5 2.533.5 2.6533.5 2.833.5 333.5 3.15

33.5 3.533.5 3.5533.5 433.5 4.633.5 5

33.5 5.233.5 633.5 733.5 1333.55 3.71

33.6 1.7833.6 2.733.6 433.6 633.7 2

33.7 2.233.7 333.7 3.533.7 3.733.71 3.53

33.77 2.6533.99 2.3434 134 1.134 1.2

34 1.434 1.534 1.634 1.734 1.75

34 1.934 234 2.134 2.1634 2.3

34 2.434 2.534 2.634 334 3.2

34 3.2534 3.534 3.634 3.7534 3.8

34 434 4.134 4.534 4.734 5

34 5.534 5.7534 634 734 7.5

34 834 1034 1134 1234.1 3

34.1 3.634.2 234.2 2.334.2 2.834.2 3

34.2 3.334.29 1.1934.29 5.3334.3 2.534.3 4.6

34.3 534.4 3.134.42 2.9534.5 134.5 1.5

34.5 1.734.5 1.834.5 234.5 2.3534.5 2.4

34.5 2.534.5 2.6534.5 334.5 3.534.5 3.55

34.5 3.6534.5 3.734.5 434.5 4.534.5 5

34.5 5.534.5 734.52 3.5334.57 1.2534.59 2.62

34.6 1.7834.6 2.434.6 2.634.6 434.62 2

34.65 1.7834.7 2.834.7 3.534.7 4.334.8 3

35 135 1.235 1.2535 1.535 1.9

35 235 2.135 2.1535 2.235 2.5

35 2.635 2.835 335 3.135 3.2

35 3.335 3.535 3.635 435 4.25

35 4.535 535 5.335 5.3335 6

35 735 835 935 1035 12

35 1535 2135.1 135.1 1.635.2 1

35.2 2.435.2 2.535.2 2.6235.2 335.2 3.5

35.2 435.2 535.2 5.735.3 2.435.3 2.5

35.3 4.535.3 4.935.31 2.6235.4 2.235.4 3

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

69


70

35.4 3.135.4 3.235.4 3.2535.5 135.5 1.5

35.5 1.7835.5 1.835.5 235.5 2.535.5 2.65

35.5 335.5 3.1535.5 3.5535.5 435.5 4.5

35.5 6.435.5 11.535.5 16.535.52 2.5335.6 3.6

35.7 2.6235.7 3.535.76 1.0235.8 135.97 1.78

36 136 1.336 1.536 1.7836 1.8

36 236 2.236 2.336 2.536 2.7

36 336 3.236 3.536 3.5336 3.8

36 436 4.536 4.636 536 5.37

36 5.536 5.736 636 6.536 7

36 836 936 1036 1136.07 1.78

36.1 3.5336.17 1.0236.17 1.7836.17 2.3836.17 2.62

36.2 1.5236.2 1.5736.2 1.836.2 236.2 2.4

36.2 2.636.2 2.6536.2 336.2 3.736.2 5.7

36.25 1.1436.27 1.7836.36 2.6236.4 3.836.5 1

36.5 1.536.5 1.836.5 236.5 2.536.5 2.65

36.5 336.5 3.536.5 3.5536.5 3.7536.5 6

36.51 6.9936.6 1.636.6 2.236.6 2.536.6 3

36.7 236.8 136.8 1.236.8 336.83 3.28

36.9 1.236.9 5.336.91 1.1937 137 1.2

37 1.537 1.837 237 2.437 2.5

37 2.637 337 3.537 3.637 4

37 4.537 537 5.337 5.537 6

37 837 1037.1 137.1 1.637.1 1.8

37.1 2.137.1 2.6237.2 2.537.2 337.2 3.53

37.2 3.637.2 4.137.2 5.737.21 2.6237.3 1.5

37.3 3.537.3 3.637.4 4.537.42 337.46 3

37.47 337.47 5.3337.5 1.2537.5 1.537.5 2

37.5 2.537.5 2.6537.5 337.5 3.1537.5 3.5

37.5 3.5537.5 437.5 4.537.5 5.337.6 1.2

37.6 2.437.6 4.537.69 3.5337.7 337.7 3.5

37.7 437.7 5.337.7 5.5337.77 2.6237.8 2

37.8 2.3837.82 1.637.82 1.7837.82 237.9 3.51

38 138 1.238 1.538 1.738 1.8

38 238 2.438 2.538 2.638 2.7

38 338 3.538 3.638 438 4.5

38 538 5.238 5.338 5.538 6

38 6.538 738 7.138 838 9

38 1038 1238 2038.1 1.3538.1 1.59

38.1 3.1838.1 6.3538.1 11.138.12 2.3938.2 2

38.2 3.638.2 4.738.2 538.35 1.2738.4 1.6

38.4 238.5 1.538.5 1.9338.5 238.5 2.3

38.5 2.538.5 338.5 3.538.5 6.338.5 8.5

38.7 2.6538.7 2.838.7 3.538.7 3.5538.7 5.3

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

38.86 1.1938.9 1.4539 139 1.239 1.5

39 1.639 1.7839 239 2.239 2.5

39 339 3.239 3.539 439 4.3

39 4.539 539 5.339 5.539 6

39 6.239 6.339 6.539 7.239 8

39 1039.1 1.339.2 1.939.2 239.2 2.5

39.2 339.2 3.739.2 3.939.2 539.2 5.7

39.2 639.34 2.6239.37 2.3439.4 1.639.4 3.1

39.4 6.639.4 1039.45 1.7839.49 3.5339.5 1.2

39.5 1.539.5 239.5 2.439.5 2.539.5 3

39.5 3.239.5 3.2539.5 3.539.5 5.539.5 6

39.5 8.539.5 1039.6 2.439.6 3.739.69 2.38

39.69 3.5339.7 3.539.7 3.639.7 4.3539.76 3

39.8 2.239.9 3.5340 140 1.240 1.25

40 1.540 1.640 1.840 240 2.2

40 2.440 2.540 2.6540 2.840 3

40 3.1540 3.240 3.340 3.540 3.55

40 3.7540 3.940 440 4.540 5

40 5.240 5.2540 5.340 5.3540 5.5

40 5.7240 5.940 640 6.440 6.5

40 740 7.540 840 940 10

40 1140 1240 1340 1540 16

40 1840.04 2.6240.06 2.740.2 1.7540.2 3

40.2 5.340.3 2.440.5 240.5 2.440.5 2.5

40.5 340.5 3.440.5 3.540.5 4.540.5 5

40.5 5.540.5 640.59 2.6240.6 3.240.6 3.53

40.65 5.3340.7 340.7 3.540.8 3.540.8 3.8

40.8 4.740.87 3.5340.95 2.6240.99 5.3341 1

41 1.241 1.441 1.541 1.641 1.75

41 1.7841 1.841 241 2.541 3

41 3.541 441 4.541 4.641 5

41 5.541 641 6.541 741 7.5

41 841 1541 2141.1 5.841.2 1.6

41.2 1.841.2 2.6541.2 341.2 3.5541.2 4.7

41.2 5.341.2 5.741.28 1.5941.28 3.5341.3 1.6

41.3 1.841.3 2.6241.3 2.741.3 3.1741.3 3.2

41.3 441.37 1.7841.4 5.341.5 1.541.5 1.6

41.5 2.941.5 341.5 3.1541.5 3.541.5 4

41.5 4.541.5 641.6 1.641.6 1.7841.6 2.4

41.7 3.541.7 4.0541.7 4.1341.8 2.641.82 3.53

41.83 2.7941.9 341.91 6.3542 142 1.2

42 1.542 1.642 1.7842 242 2.25

42 2.342 2.542 2.642 2.742 3

42 3.1542 3.242 3.542 3.842 4

42 4.242 4.542 542 5.242 5.4

42 5.542 5.642 642 6.442 7

42 7.542 842 942 1042 11

42 11.742 1242 1342 1442 16

42 2042.2 1.542.2 1.842.2 342.2 5.7

42.4 1.242.4 4.1342.4 5.3342.42 1.7842.5 1.78

42.5 1.842.5 2.6542.5 342.5 3.1542.5 3.2

42.5 3.542.5 3.5542.5 442.5 4.342.5 5.3

42.5 842.5 8.342.52 2.6242.57 3.5342.6 4

42.8 3.5342.8 3.742.8 5.3342.86 3.5342.86 4.36

42.86 6.3542.9 4.8242.96 3.5343 143 1.3

43 1.543 1.643 1.843 243 2.2

43 2.543 2.843 343 3.243 3.5

43 443 4.543 543 5.243 5.5

43 643 6.543 843 943 10

43 1143 1243 1643 2043.2 2

43.2 343.4 1.843.4 3.643.5 343.5 4

43.5 5.343.5 5.443.55 3.5543.69 2.6243.69 3

43.69 3.543.7 1.843.7 2.843.7 343.7 3.5

43.7 3.5543.7 5.343.8 1.7843.8 4.143.82 5.33

43.92 2.943.99 1.543.99 2.0144 144 1.3

44 1.544 244 2.544 2.644 2.8

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

71


72

44 344 3.1544 3.1744 3.544 3.65

44 3.744 444 4.244 4.544 5

44 5.2544 5.3444 5.544 644 6.5

44 744 844 944 1144 12

44.04 3.5344.1 1.644.1 2.644.12 2.544.12 2.62

44.17 1.7844.2 244.2 2.544.2 344.2 3.3

44.2 3.744.2 5.144.2 5.744.2 6.744.2 7.5

44.3 5.744.4 3.144.4 3.1744.4 4.844.4 5.33

44.45 2.6244.45 3.5344.5 1.644.5 244.5 2.15

44.5 2.444.5 2.544.5 344.5 3.1844.5 3.5

44.5 4.844.5 5.544.5 644.5 6.2544.5 8.5

44.6 2.444.7 2.944.7 344.7 3.544.8 3.5

44.99 1.7845 145 1.245 1.545 1.6

45 245 2.545 2.6245 2.7545 2.8

45 345 3.1545 3.545 3.5545 3.75

45 445 4.545 4.845 545 5.3

45 5.545 645 6.445 6.545 7

45 7.545 845 8.545 945 10

45 1245 1545 2545.2 2.445.2 2.8

45.2 345.2 5.745.3 5.745.36 3.5345.4 6.5

45.5 1.245.5 1.545.5 5.545.5 6.845.6 1.2

45.6 1.545.62 3.5345.69 2.6245.69 3.5345.7 1.5

45.7 3.545.72 1.7845.84 1.7846 146 1.1

46 1.246 1.546 246 2.246 2.4

46 2.546 2.646 346 3.246 3.5

46 446 4.546 546 5.3446 5.5

46 646 746 846 1046 11

46 2246.04 3.5346.1 2.446.2 246.2 3

46.2 3.546.2 3.5546.2 5.346.2 5.3346.4 4.6

46.4 5.346.4 5.446.5 1.846.5 2.546.5 3.5

46.5 446.5 546.5 5.3346.5 5.746.5 6

46.5 7.246.69 2.6246.7 1.7846.7 2.546.8 4.1

46.99 1.1446.99 3.6746.99 5.3346.99 5.9747 1

47 1.547 1.647 247 2.1347 2.5

47 2.647 2.747 347 3.247 3.5

47 3.747 447 4.547 547 5.33

47 5.547 647 6.547 6.747 7

47 7.547 847 947 1047 12

47 16.547.11 147.2 1.547.2 2.447.2 3.3

47.2 3.547.2 5.747.22 3.5347.22 5.5347.24 4.27

47.29 2.6247.35 1.2747.37 1.7847.4 447.4 4.8

47.5 1.547.5 1.847.5 2.547.5 2.6547.5 2.7

47.5 347.5 3.1547.5 3.1847.5 3.247.5 3.55

47.5 447.5 4.547.5 5.347.5 5.3347.5 5.5

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

47.5 5.7547.5 647.5 6.547.55 1.7847.55 3.55

47.6 2.447.6 3.5347.6 3.647.6 447.6 5.7

47.6 9.547.63 3.1847.63 3.5347.63 6.9947.65 1.57

47.7 1.547.7 2.6247.7 3.547.7 4.7547.8 3

47.96 2.3648 148 1.248 1.548 1.55

48 1.748 1.7848 1.848 248 2.5

48 2.648 2.6248 2.7548 348 3.5

48 3.6548 448 4.248 4.548 5

48 5.348 5.548 648 6.148 6.5

48 748 848 948 1048 11

48 1248 1348 1648 2248.1 1.2

48.2 1.248.25 448.3 3.248.32 5.3348.38 2.62

48.4 3.548.5 1.548.5 3.548.5 448.5 5.8

48.5 748.7 2.6548.7 3.548.7 3.5348.7 3.55

48.7 5.348.8 448.9 2.6249 149 1.5

49 1.649 1.749 249 2.549 3

49 3.549 449 4.549 549 5.3

49 5.549 649 6.2549 749 9

49 1249.1 5.849.15 1.7849.2 1.849.2 2.4

49.2 349.2 449.2 4.549.2 5.749.2 6.3

49.21 3.5349.22 3.9649.3 5.749.4 2.849.4 3.1

49.44 3.5349.5 2.549.5 349.5 3.549.5 4.5

49.5 549.5 5.549.5 6.2549.6 2.449.6 3.5

49.6 5.749.65 1.7849.7 3.549.7 5.349.7 5.7

49.8 1.850 150 1.250 1.550 2

50 2.3550 2.450 2.550 2.750 2.8

50 350 3.2550 3.550 3.5550 3.6

50 3.8550 450 4.550 4.750 4.8

50 550 5.250 5.350 5.3350 5.5

50 5.750 650 6.550 750 7.5

50 850 8.550 950 1050 11

50 1250 13.550 1550 1650.1 3.2

50.1 3.350.16 5.3350.17 1.7850.17 6.9950.2 2.5

50.2 350.3 2.450.4 2.6250.4 3.5350.47 2.62

50.5 2.450.5 350.5 6.350.52 1.7850.8 1.6

50.8 1.7850.8 3.1850.8 3.250.8 3.5350.8 5.1

50.8 6.3550.9 2.451 1.551 251 2.5

51 351 3.251 3.551 3.651 3.8

51 451 4.351 4.551 551 5.2

51 5.551 651 951 9.551 10

51 1251 12.551.05 1.7851.1 1.651.2 3.6

51.2 5.351.2 5.751.5 1.551.5 251.5 2.1

51.5 3.5551.5 4.551.5 5.351.6 2.451.6 4.6

51.6 5.751.7 5.351.8 351.94 3.5351.99 2.77

52 152 1.552 252 2.452 2.5

52 2.752 2.852 352 3.352 3.5

52 3.952 452 4.552 552 5.33

52 5.552 652 6.552 7.552 8

52 952 1052 1252.07 2.6252.1 1

52.2 352.2 5.752.3 1.752.3 5.752.39 3.53

52.4 5.352.5 1.7852.5 1.852.5 2.252.5 3

52.5 3.552.5 4.552.5 5.252.5 5.752.5 6.9

52.54 5.3352.6 1.7552.6 2.452.6 2.852.6 3.5

52.6 5.752.75 1.7852.9 5.3353 153 1.2

53 1.553 253 2.553 353 3.5

53 3.5553 3.653 453 4.553 5

53 5.353 5.553 5.753 5.853 6

53 753 1053 1253 1453 16

53.09 353.1 353.19 3.5353.25 453.28 0.99

53.3 3.5353.3 5.353.34 2.4453.34 5.3353.4 3.5

53.5 1.253.5 1.553.5 353.5 3.5353.5 4

53.5 5.853.5 953.52 2.6253.57 3.5353.6 2.6

53.6 3.1753.6 3.5353.6 5.6453.64 2.6553.65 2.62

53.67 1.7853.8 453.97 4.7653.98 3.5353.98 6.35

54 154 1.554 254 2.354 2.5

54 2.6554 354 3.1754 3.254 3.5

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

73


74

54 454 4.554 4.7554 554 5.5

54654 6.354 6.554 754 8

54 9.554 1254 2054.1 3.1854.1 3.7

54.2 1.6554.2 2.354.2 354.2 5.354.2 5.7

54.3 354.3 5.754.4 3.154.4 4.1354.5 2.5

54.5 2.754.5 354.5 3.5554.5 5.554.5 7

54.6 2.454.6 5.754.7 1.454.75 255 1

55 1.255 1.555 1.7855 1.855 2

55 2.555 2.655 355 3.255 3.5

55 3.755 455 4.555 4.755 4.8

55 555 5.255 5.3355 5.555 6

55 6.555 755 7.555 855 10

55 1355 13.555.2 255.2 355.2 5.7

55.25 1.7855.25 2.6255.3 5.755.35 2.6255.5 1.78

55.5 355.52 2.6255.56 3.5355.6 5.755.7 2.5

55.7 3.7555.7 455.8 2.155.88 2.0355.9 2.4

56 156 1.456 1.556 1.7856 1.8

56 256 2.356 2.456 2.556 3

56 3.1556 3.256 3.556 3.5556 4

56 4.356 4.556 556 5.256 5.3

56 5.556 656 6.356 6.556 6.8

56 756 7.556 856 1056 12

56.16 5.3356.16 5.3456.2 356.2 3.456.4 2.5

56.5 1.756.5 2.456.5 2.4556.5 3.156.5 3.5

56.5 456.5 5.3356.5 756.5 1556.52 5.33

56.6 2.456.7 2.856.74 3.5356.74 5.5356.79 2.92

56.8 656.82 2.6256.87 1.7857 157 1.3

57 1.557 257 2.557 2.657 3

57 3.557 3.5357 457 4.557 5

57 5.557 5.757 657 6.557 7

57 857 957 9.557 1057 15

57 1757.1 1.7857.1 3.257.14 3.2857.15 2.03

57.15 2.2457.15 3.5357.2 1.657.2 357.2 5.7

57.3 1.557.3 5.257.5 557.5 1057.53 2.08

57.53 3.3557.6 1.457.6 2.457.6 3.357.6 5.7

57.61 2.1657.65 3.5357.75 457.8 2.657.84 6.35

58 158 1.558 258 2.558 2.67

58 358 3.258 3.558 3.5558 4

58 4.258 4.558 558 5.358 5.5

58 5.858 658 6.558 758 7.5

58 858 958 1058 2058 23

58.2 3.158.39 1.7858.4 1.358.42 2.6258.44 1.78

58.5 1.2558.5 358.5 3.558.5 558.5 5.33

58.5 5.758.5 6.258.5 6.558.6 358.6 7

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

58.7 5.558.72 6.3558.74 3.5358.75 6.3658.8 4.2

58.8 658.8 6.258.88 2.6259 159 1.5

59 259 2.459 2.559 2.759 3

59 3.559 459 559 5.559 6

59 6.559 759 1059 1159 12

59.1 5.859.18 1.0259.2 5.3359.2 5.759.2 11.2

59.3 3.7359.3 559.3 5.759.36 359.4 2.8

59.4 3.159.44 2.0159.5 259.5 359.5 5.17

59.5 659.5 6.559.52 2.6259.6 2.459.6 5.7

59.7 3.5359.7 5.3359.7 5.759.7 759.9 2.62

59.9 5.259.92 3.5360 160 1.2560 1.5

60 1.860 260 2.260 2.360 2.5

60 2.6260 2.6560 2.860 360 3.15

60 3.260 3.360 3.560 3.5560 3.65

60 460 4.260 4.560 4.660 4.8

60 560 5.360 5.3460 5.460 5.5

60 5.760 660 760 7.560 8

60 8.560 960 1060 1160 12

60 1360 1460 1560 1660 18

60 2060.04 1.7860.1 1.660.1 5.760.2 2.5

60.2 2.860.2 360.2 5.3560.3 5.3360.3 15

60.33 3.5360.4 3.260.5 260.5 2.2560.5 5.5

60.8 261 161 1.561 1.661 2

61 2.561 361 3.261 3.561 4

61 4.361 4.561 561 5.961 6

61 8.561 961 1061 12.561.01 2.49

61.2 1.561.2 4.261.2 5.761.24 3.5361.3 1.78

61.5 1.561.5 1.7861.5 261.5 2.561.5 2.65

61.5 3.5561.5 5.361.5 761.5 7.561.6 2.4

61.6 2.6261.6 2.761.6 2.961.6 5.761.7 4.5

61.8 761.83 2.3661.9 3.5361.94 2.2462 1.5

62 1.7862 262 2.562 2.662 3

62 3.262 3.562 3.5362 462 4.5

62 562 5.262 5.562 5.762 6

62 6.562 762 862 8.562 9

62 1062 1162 1262 1462 15

62 1862.1 2.6262.2 362.2 5.762.23 4.06

62.3 3.262.3 5.762.33 1.7862.4 2.862.4 4

62.4 5.362.5 1.362.5 1.862.5 2.362.5 2.5

62.5 562.6 5.762.8 2.362.87 2.0362.87 5.33

62.9 2.463 163 1.363 1.563 1.8

63 263 2.463 2.563 2.6563 2.7

63 2.863 363 3.263 3.563 3.55

63 463 4.563 563 5.363 5.5

63 663 6.563 763 7.563 8

63 963 1063 1463 1563 16

63.09 3.5363.09 3.863.1 2.263.1 2.463.12 3.63

63.17 2.6263.22 1.563.22 1.7563.22 1.7863.3 10.75

63.46 2.8963.49 9.5363.5 2.763.5 3.163.5 3.15

63.5 3.263.5 3.5363.5 3.763.5 463.5 4.3

63.5 4.563.5 5.3363.5 5.563.5 5.763.5 6.35

63.5 6.563.5 763.6 4.763.8 5.6663.8 6.2

63.88 5.563.9 263.9 2.464 164 1.4

64 1.564 1.664 264 2.564 2.6

64 2.6264 364 3.564 3.7564 4

64 4.564 4.864 564 5.3364 5.5

64 5.764 664 6.564 764 8

64 9.2764 9.564 1064 1164 16

64.2 1.664.2 1.964.2 564.2 5.764.3 1.5

64.3 5.764.39 1.7864.4 364.4 3.164.4 3.15

64.4 4.564.47 2.6264.5 1.564.5 1.864.5 2

64.5 2.564.5 2.764.5 364.5 3.264.5 3.5

64.5 5.564.6 2.464.6 3.564.6 5.764.7 3

64.7 5.364.77 1.0264.77 2.4964.77 2.6264.9 2.6

64.9 6.665 165 1.565 1.765 1.8

65 265 2.565 2.6565 2.7565 2.8

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

75


76

65 365 3.565 3.5565 465 4.5

65 4.865 565 5.365 5.565 5.7

65 5.865 665 765 7.565 8

65 965 9.565 1065 10.565 11

65 11.265 1265 1365 1565.1 2.4

65.1 3.1565.1 3.5365.2 565.32 1.5665.35 1.55

65.4 1.6765.5 1.565.5 1.5565.5 1.6865.5 2

65.5 365.5 3.565.5 465.5 565.5 15

65.6 5.365.7 1.7865.8 1.6865.8 1.866 1

66 1.566 266 2.266 2.566 2.6

66 366 3.566 3.866 466 4.5

66 566 5.766 666 6.566 7

66 7.566 866 966 9.566 27

66.04 1.7866.04 5.3366.2 5.766.27 2.566.27 2.62

66.27 3.5366.3 2.3866.35 2.6266.39 1.966.4 1.78

66.4 5.3366.5 166.5 1.566.5 266.5 2.5

66.6 4.7366.6 5.466.6 5.766.67 3.5366.67 4.76

66.68 3.5266.68 6.3566.7 266.7 3.266.87 3.53

67 167 1.567 267 2.167 2.5

67 2.767 2.867 367 3.467 3.5

67 3.5567 467 4.367 4.567 5

67 5.367 5.3367 5.567 667 7

67 7.567 867 1067 1367 16

67 2067.05 2.0567.1 1.667.1 267.2 3.6

67.2 567.2 5.767.4 4.5567.49 2.2667.5 4

67.6 2.467.95 2.6268 168 1.268 1.5

68 1.768 1.868 268 2.468 2.5

68 2.768 2.868 368 3.268 3.5

68 3.5368 468 4.568 568 5.33

68 5.568 668 6.568 768 8

68 8.568 1068 1268 1568.26 3.53

68.3 2.468.5 168.5 1.868.5 5.968.5 6.8

68.5 7.568.5 12.568.52 2.6268.6 2.268.7 5.33

68.8 3.5368.8 3.8568.8 5.568.84 3.6868.95 5.3

69 1.569 269 2.169 2.469 2.5

69 369 3.569 3.5569 469 4.5

69 569 5.369 5.569 5.769 6

69 869 1169.2 5.769.22 5.3369.22 7

69.3 2.469.3 5.769.4 2.869.4 3.169.4 5.2

69.44 3.5369.44 469.5 269.5 2.569.5 3

69.5 3.569.5 469.5 4.569.5 569.5 8

69.52 2.6269.57 1.7869.6 269.6 2.469.6 5.7

69.8 5.369.85 3.5369.85 5.769.9 3.1770 0.6

70 170 1.470 1.570 1.670 1.78

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

70 1.870 270 2.270 2.570 3

70 3.270 3.3770 3.570 470 4.5

70 4.670 570 5.570 5.770 5.8

70 670 6.570 770 7.570 8

70 9.570 1070 1170 1270 15

70 17.570.2 4.270.2 5.770.44 370.5 2.4

70.5 2.570.5 370.5 4.570.5 7.270.6 5.7

70.6 770.6 870.8 5.370.8 6.271 1.5

71 1.6571 271 2.571 2.6571 3

71 3.571 3.5571 471 4.571 5

71 5.371 871 8.571 971 9.5

71 1071 1171.12 2.6271.2 271.2 2.2

71.2 5.771.44 3.5371.5 1.271.5 1.571.5 1.6

71.5 271.88 3.4871.9 672 1.572 2

72 2.172 2.572 2.872 372 3.25

72 3.572 472 4.272 4.572 4.75

72 572 5.572 672 6.9972 7

72 7.572 872 8.572 972 10

72 1172 1272 1872.19 5.3372.2 5.7

72.4 1.7872.4 5.3372.5 1.572.5 2.472.5 3.5

72.5 472.5 572.5 6.572.62 3.5372.62 5.33

72.69 2.6272.76 1.7873 173 1.273 1.5

73 273 2.273 2.573 2.6573 3

73 3.273 3.573 3.5573 3.973 4

73 4.573 573 5.373 673 6.99

73 873 1173 1273 1573.02 3.53

73.17 2.6273.18 373.28 5.3373.39 5.3373.5 2

73.5 373.5 573.7 3.673.8 4.574 1

74 1.574 274 2.574 374 3.15

74 3.374 3.574 474 4.574 5

74 5.574 5.774 674 6.474 7

74 7.574 874 974 1074 11

74 1474.1 3.374.1 8.474.14 2.6274.2 5.7

74.3 2.6274.3 5.774.4 3.174.5 374.5 3.1

74.5 3.274.5 674.5 6.774.6 374.6 3.53

74.6 3.674.6 5.774.63 5.3375 175 1.5

75 1.7875 275 2.475 2.575 2.7

75 2.875 375 3.575 3.5575 4

75 4.575 4.875 575 5.375 5.4

75 5.575 5.675 5.875 675 7

75 7.575 875 975 1075 12.5

75 1375 1575 1675.5 275.5 9.5

75.56 6.9975.57 3.5375.57 5.3375.6 275.7 9.45

75.8 3.5375.8 3.875.8 5.3375.87 2.6275.92 1.68

75.92 1.7875.97 3.5376 176 1.276 1.5

76 276 2.276 2.576 376 3.2

76 3.576 476 4.176 4.2576 4.5

76 4.7676 576 5.276 5.576 5.6

76 676 7.6576 876 1076 11

76 1276 1376 1576 2076.2 3.17

76.2 3.276.2 5.3376.2 5.776.2 6.3576.2 6.8

76.3 2.476.5 5.576.5 5.776.7 4.576.9 3.53

76.94 1.7876.99 2.4577 177 1.577 1.8

77 277 2.577 377 3.577 4

77 4.377 4.577 577 5.577 6

77 777 877 1077 1277.1 2.62

77.2 1.2677.2 5.777.22 3.5377.3 2.6277.3 4.5

77.3 5.777.39 3.5377.4 6.677.5 1.7877.5 2.5

77.5 2.6277.5 3.5577.5 5.377.5 677.62 3.53

77.69 3.5377.9 5.778 178 1.278 1.25

78 1.578 1.7878 278 2.378 2.5

78 378 3.578 3.678 478 4.3

78 4.578 578 5.3378 5.578 6

78 6.578 878 1078 1378 16

78.2 5.778.5 1.7878.5 2.578.5 578.5 5.7

78.5 678.6 178.74 2.6278.74 5.3378.8 5.1

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

77


78

78.8 6.8178.97 3.5379 1.579 1.7879 2

79 2.179 2.479 2.579 2.679 3

79 3.1779 3.279 3.579 479 4.5

79 579 5.779 679 6.379 7

79 879.05 2.6279.2 2.779.2 479.2 5.7

79.2 7.579.3 2.579.3 3.5379.3 5.379.3 5.7

79.4 279.4 3.179.4 4.7579.4 6.179.5 2

79.5 2.579.5 2.6279.5 379.5 479.5 5.2

79.5 779.6 5.779.62 3.5379.77 5.3379.79 3.53

80 180 1.280 1.2580 1.380 1.5

80 1.7580 280 2.480 2.580 2.8

80 380 3.280 3.3380 3.580 3.55

80 3.680 3.880 480 4.380 4.5

80 4.880 580 5.380 5.580 5.7

80 5.880 680 6.380 6.580 7

80 7.580 880 8.580 980 10

80 1180 1280 1380 1580 16.5

80.42 2.6280.44 1.7880.5 1.7580.5 280.5 2.4

80.5 480.5 780.6 2.6280.7 3.680.8 2.3

80.8 2.680.8 5.3380.85 3.5381 181 1.5

81 281 2.481 2.581 381 3.5

81 481 4.581 581 5.181 5.34

81 5.581 681 781 1481.15 4.52

81.2 5.781.4 381.5 1.2581.5 1.581.5 2.5

81.5 2.881.5 481.5 681.51 2.581.52 3.53

81.6 2.281.7 1.7881.7 781.75 1.881.9 1.78

81.9 5.381.92 5.3381.92 6.9982 1.582 2

82 2.482 2.582 382 3.482 3.5

82 482 4.582 582 5.382 5.5

82 682 6.582 782 7.582 8

82 1082 1282.14 3.5382.16 4.6382.2 5.7

82.22 2.6282.27 5.3382.28 1.7882.34 2.6282.5 2.2

82.5 2.482.5 3.282.5 3.5582.5 482.5 5.3

82.5 982.55 3.1882.6 2.282.6 482.7 5.7

82.8 582.8 5.982.87 5.3382.9 283 1

83 1.583 283 2.583 383 3.2

83 3.2583 3.583 3.7583 483 4.5

83 583 5.583 683 6.583 7

83 983 1083 1283.05 3.5183.2 2

83.2 5.783.4 3.583.5 1.283.5 1.2583.5 3

83.5 3.383.5 583.7 4.583.8 2.6284 1.5

84 1.7884 284 2.584 384 3.5

84 484 4.584 584 5.384 5.4

84 5.784 684 6.584 784 8

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

84 984 1084 1284.1 3.584.1 5.7

84.2 384.2 5.784.3 2.684.3 5.784.3 6.4

84.4 3.184.4 484.5 284.5 384.5 3.5

84.5 4.584.5 584.5 9.4584.52 2.6284.6 3

84.6 5.784.68 2.6284.7 1.285 185 1.5

85 1.7885 1.885 285 2.485 2.5

85 2.6285 385 3.185 3.585 3.55

85 3.7585 485 4.585 4.985 5

85 5.2585 5.385 5.585 5.885 6

85 6.385 6.585 6.9985 785 7.5

85 885 985 1085 1285 12.5

85 1385 1485 1585 1685.09 5.33

85.09 6.9985.32 3.5385.34 1.7885.4 385.4 7

85.5 2.485.5 2.585.5 3.285.5 3.585.5 4.3

85.5 5.785.5 685.55 3.1885.6 3.285.62 3.53

85.7 4.7685.8 1.2585.9 5.3386 1.2586 1.5

86 1.686 1.786 286 2.486 2.5

86 2.786 386 3.586 3.9886 4

86 4.186 4.586 586 5.486 5.5

86 686 6.486 6.586 786 7.5

86 886 1086 1286 12.586.2 5.7

86.3 2.686.36 2.6286.5 286.5 2.586.5 3

86.5 4.7586.5 586.69 5.3386.7 386.7 3.5

86.9 3.687 1.587 287 2.587 2.6

87 387 3.587 487 4.487 4.5

87 587 5.3387 5.8987 687 7

87 887 8.587 1087 1287 15

87 1887 2087.1 2.487.2 2.587.2 5.7

87.2 887.3 6.9987.43 787.45 6.9887.5 1.5

87.5 1.787.5 3.587.5 3.5587.5 3.687.5 5.3

87.5 6.287.6 3.587.63 4.1987.9 5.388 1.5

88 288 2.288 2.588 2.6288 2.8

88 388 3.288 3.588 3.688 3.7

88 3.7588 3.888 488 4.588 5

88 5.388 5.588 5.788 688 7.5

88 888 1088 1288 1588 20

88 2188.1 3.688.24 2.3888.26 6.9888.27 5.33

88.27 6.9988.3 2.6288.3 788.49 5.5788.5 2.5

88.5 3.5388.5 5.788.57 2.6288.57 3.1588.59 5.32

88.62 1.7888.8 388.86 6.9988.9 2.488.9 2.5

88.9 3.588.9 3.9688.9 5.8488.9 6.3589 1.5

89 1.7889 1.989 289 2.389 2.4

89 2.589 389 3.589 489 4.5

89 589 5.589 5.789 689 7

89 7.589 889 1189 1289 13

89.1 5.789.1 5.889.2 389.2 5.789.3 5.7

89.4 3.189.4 5.389.41 3.1889.5 2.589.5 3

89.5 3.589.6 3.1589.6 5.789.69 5.3390 1

90 1.590 290 2.290 2.590 2.8

90 2.990 390 3.190 3.590 3.55

90 3.990 490 4.290 4.590 4.6

90 4.890 590 5.190 5.2590 5.3

90 5.590 5.790 5.7290 5.890 6

90 6.390 6.590 790 7.590 8

90 8.390 8.590 990 1090 11

90 1290 1490 1590 1690 20

90 2590.3 490.35 1.7890.47 3.1890.49 5.33

90.5 1.590.7 3.690.77 491 1.591 2

91 2.591 2.6591 391 3.591 4

91 591 791 891.2 5.791.44 5.33

91.5 391.5 3.291.5 791.6 3.691.67 3.53

91.67 3.891.7 1.7892 1.592 1.7392 2

92 2.592 392 3.292 3.592 3.53

92 492 4.592 592 5.392 5.5

92 692 792 7.592 892 8.5

92 992 9.592 1092 1392 14

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

79


80

92.2 5.792.33 1.7892.38 3.5392.5 292.5 2.2

92.5 3.592.5 3.5592.5 5.392.62 5.3392.71 2.62

92.76 2.6292.92 2.6292.99 2.0393 1.593 2

93 2.593 2.893 393 3.593 4

93 593 5.3393 693 6.593 12

93 12.793 2093.2 3.693.2 9.593.34 12.7

93.5 293.5 4.593.73 1.8593.75 294 1

94 1.594 294 2.394 2.594 2.62

94 2.9594 394 3.594 494 5

94 5.594 5.794 694 794 8

94 994 9.594 10.594.1 5.794.1 6

94.2 5.594.2 5.794.3 5.794.4 3.194.5 2

94.5 2.594.5 394.6 5.394.6 5.794.62 5.33

94.84 3.5394.84 4.7594.93 2.6294.97 1.7895 1

95 1.595 1.7895 1.895 295 2.2

95 2.395 2.595 2.6595 395 3.5

95 3.5595 495 4.595 595 5.3

95 5.595 5.695 5.795 695 6.3

95 6.595 795 7.595 895 10

95 1195 11.295 1295 1595 20

95.09 5.3495.2 2.495.25 4.7695.5 395.5 4

95.5 4.3295.5 696 1.596 1.796 2

96 2.596 396 3.596 496 4.3

96 4.596 596 5.3396 696 7

96 896 1096 1496 1596.1 5.7

96.11 2.6296.3 3.696.5 2.6296.5 496.5 6.5

96.6 1.696.6 1096.7 7.396.76 1.8697 1

97 1.597 1.697 297 2.597 2.75

97 397 3.597 3.897 497 4.5

97 597 5.297 5.597 697 7

97 897 997 1697.2 5.797.29 5.33

97.4 5.397.5 397.5 3.5597.5 4.597.5 5

97.5 5.397.5 5.597.76 2.6297.79 6.3397.79 6.35

97.8 3.5397.8 5.3398 198 1.598 2

98 2.298 2.598 398 3.598 4

98 4.298 4.598 598 5.298 5.5

98 698 6.898 798 7.598 8

98 998 1098.02 3.5398.05 1.7898.42 4.77

98.5 1.598.5 3.598.5 5.399 1.599 2

99 2.599 399 3.299 3.599 4

99 599 5.599 5.799 699 6.5

99 799 7.799 899 999.1 2.4

99.1 5.799.2 5.799.3 399.3 5.799.4 3.1

99.4 4.199.4 6.399.5 1.899.5 399.5 4.5

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

99.6 5.7100 1100 1.4100 1.5100 1.6

100 2100 2.2100 2.5100 2.75100 3

100 3.4100 3.5100 3.55100 4100 4.5

100 4.7100 5100 5.2100 5.3100 5.33

100 5.5100 5.7100 6100 6.3100 6.5

100 7100 7.5100 8100 9.5100 10

100 12100 12.5100 13.5100 15100 16

100 20100.2 4.35100.5 2.4100.5 3.5100.5 4.5

100.5 5.3100.5 7100.9 7.6100.95 1.6100.97 5.33

100.97 6.99101 2101 2.5101 3101 3.5

101 4101 4.3101 4.5101 5101 5.33

101 5.5101 6101 7101 12101.2 3.53

101.2 4.2101.2 5.7101.27 2.62101.3 7.2101.34 1.78

101.4 4.8101.5 2101.5 3101.5 3.5101.6 3.2

101.6 5.7101.6 6.35101.6 6.99101.6 9.5102 1.5

102 2102 2.5102 3102 3.5102 4

102 4.5102 4.75102 5102 5.5102 5.7

102 6102 6.5102 7102 8102 9.5

102 12102 14102.2 3.53102.3 9102.3 9.2

102.5 1.6102.5 2.4102.5 2.5102.5 5.5102.5 6.99

102.6 4.5102.8 3.3102.8 9.5103 1.5103 2

103 2.5103 3103 3.2103 3.5103 3.55

103 4103 4.5103 5103 5.2103 5.3

103 6103 7103 8103 10103 12

103 14103.5 1.5103.5 3103.5 3.2103.5 4

103.5 4.2103.5 4.5103.51 3.18104 1.78104 2.5

104 2.62104 3104 3.5104 4104 4.5

104 5104 5.5104 5.7104 6104 6.13

104 7104 8104 9104 10.5104 13

104 14104 16104.1 3.18104.1 5.7104.14 5.33

104.14 6.99104.2 3104.2 5.7104.3 5.7104.3 6

104.37 3.53104.37 3.8104.4 1.78104.4 3.1104.4 5.3

104.5 2104.5 2.6104.5 3104.5 4104.5 5

104.5 6104.6 5.7104.77 4.76104.78 9.53104.8 5.33

105 1.5105 1.78105 2105 2.5105 2.75

105 3105 3.1105 3.5105 4105 4.3

105 4.4105 4.5105 4.6105 5105 5.3

105 5.5105 5.8105 5.9105 6105 6.4

105 6.5105 7105 7.25105 7.5105 8

105 8.4105 8.5105 9.5105 10105 10.3

105 12105 14105 15105 17.5105.1 2

105.1 4.5105.2 5.7105.28 5.33105.5 1.5105.5 2.4

105.5 3105.5 4105.8 5.4106 1106 1.8

106 2106 2.4106 2.5106 2.62106 3

106 3.5106 3.55106 4106 4.5106 5

106 5.3106 5.5106 6106 6.3106 6.5

106 6.8106 7106 8106 8.5106 10

106 12106.3 3.34106.5 2.4106.5 4.75106.5 4.8

107 1.5107 2107 2.5107 2.7107 3

107 3.5107 4107 4.3107 4.5107 5

107 5.5107 6107 7107 7.5107 8

107 9107 10107 14107 15107.2 5.33

107.32 5.33107.32 6.99107.5 3.4107.54 3.53107.54 4

107.6 3.6107.63 2.62107.7 1.78108 2108 2.5

108 3108 3.2108 3.5108 4108 4.2

108 4.5108 4.75108 5108 5.2108 5.3

108 5.5108 6108 7108 8108 9

108 9.5108 10108 11108 15108 16

108 18108.3 3.8108.5 2108.5 11.5108.8 6

109 2109 2.5109 3109 3.4109 3.5

109 3.55109 4109 4.5109 5109 5.3

109 5.5109 5.7109 5.8109 6109 7

109 8.5109.1 5.7109.14 3.53109.2 5.7109.3 5.7

109.4 3.1109.5 3109.5 4.75109.5 5109.5 8.4

109.52 3.53109.54 5.33109.6 5.7109.75 4.8109.78 4.83

109.78 4.85110 1.5110 1.6110 1.78110 2

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

81


82

110 2.25110 2.5110 3110 3.2110 3.5

110 4110 4.5110 4.6110 4.75110 5

110 5.3110 5.5110 5.6110 5.7110 5.8

110 6110 6.5110 7110 7.5110 7.7

110 8110 8.5110 9110 9.5110 10

110 11110 12110 14110 15110 20

110.3 2.4110.4 5.8110.49 3.53110.49 5.33110.49 6.99

110.5 2.4110.5 3110.5 6110.72 3.53110.74 1.78

110.8 4111 2111 2.5111 3111 3.3

111 3.5111 4111 5111 6111 7.7

111 9111.1 1.6111.13 4.76111.2 5.7111.5 2.4

111.5 2.5111.5 2.6111.5 3111.5 5111.6 5.7

111.8 3.53112 1.5112 2112 2.5112 3

112 3.5112 3.55112 4112 4.5112 4.6

112 5112 5.3112 6112 6.3112 7

112 8112 11112 14112.1 5.3112.3 5.7

112.5 1.78112.5 5112.5 5.5113 1.5113 2

113 2.5113 3113 3.5113 3.53113 4

113 5113 5.5113 6113.41 6.35113.5 2

113.5 5.33113.5 6.8113.66 8.5113.67 5.33113.67 6.99

113.7 5.5113.7 7113.8 8.4113.9 3.53113.98 2.62

114 1.3114 1.6114 1.78114 2114 2.5

114 3114 3.5114 4114 4.6114 5

114 5.3114 5.5114 5.7114 6114 6.5

114 7114 8114 9114 10114 10.5

114 14114 17114.19 3.53114.19 5.43114.2 5.7

114.3 3.15114.3 4.2114.3 4.7114.3 5.7114.3 15

114.4 3.1114.4 3.8114.5 2.5114.5 3114.5 3.3

114.5 4114.5 6114.5 12114.6 5.7114.7 6.99

114.81 5.34114.9 5.43115 1.5115 2115 2.5

115 3115 3.3115 3.5115 3.55115 3.6

115 4115 4.1115 4.5115 5115 5.07

115 5.1115 5.3115 5.5115 5.6115 6

115 7115 7.5115 8115 8.4115 8.5

115 9115 9.1115 10115 14115 15

115 20115.7 5.7115.75 3116 1.5116 1.75

116 2116 2.5116 3116 3.5116 4

116 4.5116 5116 5.3116 5.5116 6

116 7116 7.5116 10116 15116.4 6.99

116.5 2116.5 4.1116.5 4.5116.7 4.4116.84 5.33

116.84 6.99117 1.5117 2117 2.5117 2.75

117 3117 3.5117 4117 4.2117 4.4

117 5117 5.3117 6117 6.5117 7

117 8117 9117 19117.06 3.81117.07 3.53

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

117.1 1.78117.2 5.7117.48 3.18117.48 5.33117.5 2.5

117.5 3.2117.5 3.53117.5 4117.5 5117.5 5.33

117.5 5.7117.8 6.35118 2118 2.5118 2.62

118 2.65118 3118 3.25118 3.5118 3.55

118 4118 4.5118 5118 5.3118 6

118 6.3118 7118 8118 9118 10

118 13118.4 4118.47 9.27118.5 3118.5 5

118.5 6.5118.65 4.45118.72 2.62118.8 8.4119 2

119 2.5119 3119 3.5119 4119 5

119 5.2119 5.7119 6119 6.2119 7

119 8119 10119.2 5.2119.2 5.7119.3 5.7

119.4 3.1119.5 2119.5 3119.5 3.3119.5 5.5

119.5 7119.6 5.7119.8 1.5119.8 3119.85 4.45

119.89 3.53120 1.5120 1.6120 2120 2.1

120 2.2120 2.5120 2.7120 3120 3.2

120 3.26120 3.5120 3.6120 3.7120 4

120 4.5120 5120 5.6120 5.8120 6

120 6.5120 7120 8120 8.5120 9.1

120 10120 11.5120 12120 14120 15

120 16120 25120 30120.02 5.16120.02 5.33

120.02 6.99120.25 3.53120.32 3.15120.33 2.62120.34 3.53

120.4 1.78120.4 3.8120.5 6.8120.5 12120.62 2.62

120.65 9.53120.7 5.33120.82 2.62121 1.4121 1.5

121 1.6121 2.5121 3121 3.5121 4

121 5121.4 7.8121.5 1.2121.5 2121.5 2.2

121.5 3121.5 4121.5 5.7122 1122 1.25

122 1.3122 1.8122 1.9122 2122 2.5

122 3122 3.5122 3.55122 4122 4.2

122 4.5122 4.7122 5122 5.3122 5.34

122 5.5122 6122 7122 8122 8.5

122 9122 9.5122 10122 12122 18

122 20122.42 3.53122.5 2122.5 2.5122.5 4

122.8 3.5123 2123 2.5123 3123 3.3

123 3.5123 4123 4.5123 5123 6

123 6.3123 6.5123 7123 7.5123 8

123 9123 12123 13123.03 3.68123.19 4.85

123.2 5.33123.2 6.99123.26 3.68123.42 3.53123.44 1.78

123.5 3123.5 3.5123.5 4123.75 4.25123.8 3.2

123.8 4.76123.8 5.33124 2.5124 3124 3.2

124 3.5124 4124 4.15124 4.5124 5

124 5.4124 5.7124 6124 6.5124 7

124 8124 8.5124 9124 13124 18

124.2 1.78124.2 2.62124.2 5.7124.2 6.99124.3 5.7

124.4 2.62124.4 3.1124.5 2124.5 3124.5 4

124.5 5124.6 3.5124.6 5.7124.6 6.99124.8 2.5

124.8 9124.82 1.78125 1.5125 1.8125 2

125 2.4125 2.5125 2.65125 3125 3.5

125 3.55125 4125 4.2125 4.5125 5

125 5.3125 6125 6.5125 7125 7.5

125 8125 8.5125 9.1125 10125 12

125 12.5125 15125.1 6.6125.2 5.7125.5 5

126 2126 2.2126 2.4126 2.5126 3

126 3.2126 3.5126 4126 4.5126 5

126 5.33126 5.5126 5.7126 6126 7

126 7.5126 8126 9126 10126 13

126 14126 18126.37 5.33126.37 6.99126.5 3

126.5 3.2126.57 5.33126.6 3.53126.67 2.62126.76 1.78

126.9 6.4127 1.5127 2127 2.5127 3

127 3.5127 4127 4.5127 5127 5.33

127 5.5127 6.75127 8127 10127.5 2

127.5 3127.5 4127.5 5.7127.5 6.8127.7 1.5

127.7 4128 1.5128 2128 2.5128 2.6

128 3128 3.5128 3.55128 4128 4.5

128 5128 5.3128 6128 6.6128 7

128 7.5128 8.5128 9128 10128 12

128.5 2.5128.5 2.6128.5 3.5128.5 4128.5 12

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

83


84

129 2129 2.5129 3129 3.5129 4

129 4.3129 4.5129 5129 5.5129 8

129 10129 11129.04 5.33129.1 3.3129.14 3.1

129.2 5.7129.3 5.4129.3 5.7129.4 1.78129.4 3.1

129.5 3129.5 5129.5 5.33129.54 1.65129.54 5.33

129.54 6.99129.6 5.7129.77 3.53129.77 3.8130 1.5

130 2130 2.4130 2.5130 3130 3.15

130 3.5130 4130 4.2130 4.3130 4.5

130 5130 5.5130 5.8130 6130 6.35

130 6.5130 6.65130 7130 7.5130 8

130 9130 9.6130 10130 10.8130 11

130 12130 15130 25130.18 5.33130.5 2.5

130.5 3130.5 3.5130.5 4130.7 6130.85 7

131 1.7131 2.4131 2.5131 3131 3.5

131 4131 4.5131 5131 5.3131 7

131 10131.2 2.4131.2 5.7131.3 5.7131.5 3.55

131.5 4131.5 4.5131.57 1.78131.6 5.7131.74 1.78

131.8 1.78132 1.5132 1.7132 1.8132 2

132 2.4132 2.5132 3132 3.5132 3.55

132 3.9132 4132 4.5132 5132 5.3

132 5.65132 6132 7132 8132 10

132.2 2.3132.2 5.7132.4 2.62132.5 1.6132.5 2.4

132.7 5.7132.72 2.62132.72 5.33132.72 6.99132.9 2.5

132.94 3.53133 1.5133 2133 2.5133 2.62

133 3133 3.2133 3.25133 3.5133 4

133 4.4133 4.5133 5133 6133 7

133 8133 10133 12133 13133 16

133.07 1.78133.2 5.7133.3 6.4133.35 3.17133.35 5.33

133.35 12.7133.5 4133.5 7133.6 2.2133.8 8.4

134 1.5134 1.6134 2134 2.5134 3

134 3.1134 3.2134 3.5134 4134 4.2

134 4.5134 5134 6134 6.8134 8

134 11134.1 8.4134.2 4134.2 5.7134.3 5.7

134.3 6134.4 3.1134.5 1.78134.5 2134.5 3

134.5 4134.5 4.5134.5 5134.5 6.99134.6 5.7

135 1.5135 1.9135 2135 2.2135 2.5

135 2.65135 2.75135 3135 3.1135 3.2

135 3.38135 3.5135 4135 4.1135 4.5

135 5135 5.5135 5.7135 5.8135 6

135 6.5135 7135 7.5135 7.7135 8

135 9135 9.1135 10135 11135 12

135 13135 15135 17135 17.5135 18

135.4 4.2135.5 4135.5 9.2135.6 4.12135.7 3.53

135.76 1.78135.9 5.33135.9 6.99136 2.5136 3

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

136 3.5136 3.55136 4136 4.25136 5

136 5.3136 6136 7136 8136 10

136 12136 13136 17136.12 3.53136.5 4

136.5 4.5136.5 6136.53 5.33137 2.5137 2.62

137 3137 3.4137 3.5137 4137 4.5

137 4.7137 5137 6137 6.5137 7

137 8137.37 2.62137.5 2.5137.5 3137.8 20

138 2138 2.1138 2.5138 3138 3.5

138 4138 4.4138 4.5138 5138 5.3

138 6138 6.5138 7138 8138 10

138 16138.5 6.55138.94 1.78139 2.5139 3

139 3.5139 4139 4.5139 5139 6

139 7139.07 1.78139.07 5.33139.07 6.99139.2 2.4

139.2 2.8139.2 5139.2 5.7139.2 6139.3 2.4

139.3 3.53139.3 5.7139.38 2.62139.4 3.1139.5 3

139.5 4.5139.6 5.7139.7 4.75139.7 5.33139.7 6.99

139.7 7.92139.7 15140 1.5140 1.78140 2

140 2.3140 2.4140 2.5140 2.65140 3

140 3.15140 3.2140 3.5140 3.55140 3.75

140 3.8140 4140 4.3140 4.5140 5

140 5.3140 5.5140 5.8140 6140 6.3

140 6.35140 7140 7.5140 8140 8.6

140 10140 11140 12140 15140 16

140.37 3.53140.5 4.5140.64 5.34141 2.4141 2.5

141 3141 3.5141 4141 4.5141 5

141 6.25141 7141 9.8141.5 2.5141.5 3

141.5 7141.5 10141.5 12142 2142 2.5

142 3142 3.5142 4142 5142 5.33

142 6142 6.3142 6.5142 7142 7.5

142 8142 10142 12142 18142.11 1.78

142.24 5.33142.24 6.99142.47 3.53142.5 3142.5 5

142.7 5.7142.8 5.8142.88 5.33143 1.78143 2

143 2.5143 3143 3.5143 3.7143 3.97

143 4143 5143 5.7143 6143 6.35

143 6.5143 8143 10143 12143.4 3

143.5 1.6143.5 1.78144 2.5144 3144 3.5

144 3.7144 3.8144 4144 4.5144 5

144 5.25144 5.5144 6144 6.5144 8

144 10144 10.7144.02 1.78144.1 8.4144.2 3

144.2 5.7144.27 4.06144.3 5.7144.4 3.1144.5 3

144.5 3.7144.5 4144.6 5.7144.7 3145 1.5

145 2.5145 3145 3.5145 3.55145 4

145 4.2145 5145 5.25145 5.3145 5.5

145 6145 6.5145 7145 7.5145 8

145 8.6145 10145 15145.29 1.78145.41 3.3

145.42 5.16145.42 5.33145.42 6.99145.42 7.92145.45 6.55

145.5 6.35145.5 6.5145.65 3.53145.72 2.62145.77 1.78

146 2146 2.5146 3146 3.5146 4

146 4.5146 4.57146 5146 5.5146 6

146 7146 8146 12146.05 5.33146.07 4.7

146.1 3.2146.3 5.7146.5 4147 1.78147 2.5

147 3147 3.5147 4147 4.33147 5

147 6.5147 8147 14147 15147.3 3

147.5 3147.5 4.5147.55 2.62148 1.78148 2

148 2.5148 3148 3.5148 3.75148 4

148 4.5148 5148 5.5148 6148 7

148 8148 10148 12148.2 5.7148.46 1.78

148.5 2148.5 4148.5 5148.5 7.5148.5 8.4

148.59 5.33148.6 5.33148.6 6.99148.82 3.53149 2.5

149 3149 3.5149 4149 5149 6

149 6.5149 7149 8149 12149.1 8.4

149.2 4.76149.2 5.7149.2 6.2149.23 5.33149.3 5.7

149.5 2149.5 3149.5 8.4149.5 9.5149.6 5.7

150 1.2150 2150 2.38150 2.5150 2.62

150 3150 3.1150 3.5150 3.55150 4

150 4.5150 5150 5.3150 5.4150 5.5

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

85


86

150 5.8150 6150 6.35150 6.5150 6.7

150 7150 7.5150 8150 9150 10

150 11150 12150 15150 20150.88 3.53

151 2.6151 3151 3.5151 4151 5

151 7151 8151.4 4151.5 2.5151.5 8.5

151.59 1.78151.64 1.78151.69 3.2151.77 3151.77 5.33

151.77 6.99151.78 1151.8 4151.99 2.4151.99 3.53

152 1.5152 1.6152 2152 2.5152 2.6

152 3152 3.5152 4152 5152 5.1

152 5.5152 6152 7152 7.5152 8

152 8.5152 10152 12152.07 2.62152.09 5.12

152.2 5.5152.5 1.5152.5 2.5152.5 7152.62 2.62

153 2153 2.5153 3153 3.5153 4

153 4.5153 5153 6153 10153 14

153 15153.5 1.6153.5 3153.5 5153.5 6.8

153.52 6.99154 3154 3.5154 4154 5

154 6154 7154 8154 10154 12

154.1 8.4154.2 5.33154.2 5.7154.3 5.7154.3 6.4

154.4 3.1154.4 4154.5 3154.5 4154.5 5

154.5 8.4154.5 10154.81 1.78155 1.5155 1.7

155 2155 2.5155 2.6155 3155 3.1

155 3.2155 3.5155 3.55155 4155 4.2

155 4.5155 5155 5.3155 5.33155 5.5

155 5.7155 6155 6.75155 7155 7.5

155 8155 9155 9.5155 10155 15

155.5 6155.5 7155.6 5.33155.6 6.99156 2

156 2.5156 3156 3.5156 4156 4.8

156 5156 5.5156 6156 6.5156 7

156 8156 10156 12156 16156.3 5.7

156.5 2.5156.5 5.7156.5 7157 1.5157 2

157 3157 3.5157 4157 4.5157 5

157 6157 6.5157 6.55157 7.5157 8

157 8.3157 15157 20157.5 7158 1.78

158 2158 2.5158 3158 3.5158 4

158 4.5158 5158 6158 6.5158 6.7

158 6.9158 7158 8158 12158 16

158 18158.12 2.62158.12 5.33158.12 6.99158.35 3.53

158.4 3.2158.41 2.62158.44 3.53158.59 5.33158.75 6.35

158.75 12.7158.8 6.4158.88 2.62159 2.5159 3

159 3.5159 4159 5159 6159 6.3

159 6.8159 7159 11159.1 8.4159.2 5.7

159.2 7159.3 2.4159.3 5.7159.5 2.5159.5 3

159.5 6.99159.5 8.4159.5 9.5159.7 3160 1.5

160 2160 2.3160 2.4160 2.5160 3

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

160 3.5160 3.55160 4160 4.2160 4.5

160 4.75160 5160 5.25160 5.3160 5.5

160 5.8160 6160 7160 7.2160 7.5

160 8160 8.5160 9160 10160 12

160 14160 14.3160 15160 16160 20

160.3 2.5161 2.4161 3161 3.5161 4

161 5161 10161.1 10161.16 1.78161.3 5.33

161.3 10161.6 2.4161.9 6.99162 2.3162 2.5

162 3162 3.15162 3.5162 3.53162 4

162 4.5162 5162 6162 7162 8

162 10162 12162.1 5.2162.3 2.5162.3 6.35

162.5 2.5162.5 3.5162.5 4162.6 7162.76 2.38

163 1.5163 1.78163 2163 3163 3.5

163 4163 4.5163 5163 6163 6.35

163 7163 9163.1 2.5163.3 2.5163.6 2.2

163.7 8.6163.8 7164 2164 3164 3.5

164 4164 4.1164 4.7164 5164 6

164 7164 7.2164 8164 8.3164 8.4

164 8.5164 10164 12164 12.7164.1 8.4

164.2 5.7164.2 6.99164.3 3164.3 5.7164.34 1.78

164.47 5.33164.47 6.99164.5 2164.5 3164.5 3.53

164.5 7164.5 8.4164.5 13164.67 5.33164.7 3.53

164.78 2.62165 1.5165 2165 2.4165 2.5

165 3165 3.5165 3.55165 4165 4.5

165 5165 5.3165 5.5165 6165 6.2

165 6.5165 7165 7.5165 8165 10

165 12165 14165 16165 20165.4 5.33

165.5 4165.5 5.5166 1.78166 2.5166 3

166 3.5166 4166 5166 6166 6.2

166 10166 13166 15166 19166.1 2.5

166.2 14166.2 20166.7 6.99166.75 2166.8 5.3

167 2.5167 3167 3.5167 4167 5

167 6.5167 7167 8167 10167.28 8

167.4 3.3167.5 2.62167.5 3.5167.5 5.7167.5 8

167.51 1.78167.7 5.33167.8 2.62168 2168 3

168 3.5168 4168 4.5168 5168 6

168 7168 8168 10168 11168 12

168 16168.3 5.7168.3 6.99168.5 3168.5 6.25

169 2.4169 2.5169 3169 3.5169 4

169 5169 6169 15169.1 8.4169.2 5.7

169.2 6.2169.2 7169.3 5.7169.5 3169.5 8.4

170 1.78170 2170 2.4170 2.48170 2.5

170 2.62170 3170 3.1170 3.2170 3.5

170 3.55170 4170 4.5170 5170 5.3

170 5.5170 5.8170 6170 6.4170 6.5

170 7170 7.5170 8170 8.5170 9

170 9.5170 10170 12170 12.5170 13

170 14170 15170.3 4.7170.39 3.53170.4 4

170.69 1.78170.82 5.33170.82 5.83170.82 6.99171 2.7

171 3171 3.5171 3.53171 4171 5

171 7171 9171 10171 11171 12

171.05 3.53171.13 2.62171.4 3.2171.45 6.35172 1.78

172 2172 2.5172 3172 3.5172 4

172 4.2172 4.5172 4.8172 5172 5.5

172 6172 6.3172 7172 8172.5 2.5

172.5 3.5173 2173 2.4173 2.5173 3

173 3.1173 3.5173 3.6173 4173 5

173 5.33173 8173 9173 10173.37 5.7

173.5 3173.5 5173.87 1.78174 2.5174 2.62

174 3174 3.2174 3.3174 3.5174 4

174 5174 5.25174 5.33174 6174.1 8.4

174.2 3.6174.2 5.7174.3 5.33174.3 5.7174.4 3.2

174.5 3174.5 8.4174.6 6.99175 2175 2.4

175 2.5175 2.62175 2.7175 3175 3.5

175 3.55175 4175 4.5175 5175 5.2

175 5.3175 5.5175 6175 7175 7.5

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

87


88

175 8175 10175 12175 13175 15

175.13 5.33175.3 2.4175.5 3175.6 14175.6 20

176 2.4176 2.5176 2.7176 3176 3.5

176 3.6176 4176 5176 6176 7

176.2 7176.26 2.38176.8 3.53176.8 3.6177 1.5

177 1.78177 2177 2.62177 3177 3.5

177 4177 4.4177 5177 7177.17 5.33

177.17 6.99177.4 3.53177.4 5177.4 5.5177.47 2.62

177.5 4.2177.5 10177.5 12177.8 6.35177.8 6.6

177.9 8178 2178 3178 3.5178 4

178 4.5178 5178 6178 7178 8

178 10178 12178 15178 20179 2.5

179 3179 3.2179 3.5179 4179 5

179 5.5179 8179 10179 12179.1 8.4

179.2 5.7179.3 5.7179.4 3.1179.5 2179.5 3

179.5 5179.5 8.4180 1.5180 2180 3

180 3.1180 3.5180 3.55180 4180 4.2

180 4.5180 4.76180 5180 5.3180 5.4

180 5.5180 5.7180 5.8180 6180 7

180 7.5180 8180 9180 10180 10.2

180 14180 15180 16180 17180 20

180.34 1.78180.37 2.39181 2181 3181 3.5

181 4181 5181 6.99181 7181.4 4.3

181.48 5.33181.5 2.5181.5 16181.8 2.4182 1.78

182 2182 3182 3.5182 4182 5

182 6182 7182 8182 8.3182.3 7

182.5 4183 3183 3.5183 4183 5

183 6183 7183 9183 10183.33 2.62

183.5 3183.52 5.33183.52 6.99183.74 5.33183.75 3.53

183.83 2.62184 1.5184 1.78184 2184 2.5

184 3184 3.5184 4184 5184 5.7

184 6184 6.4184 6.5184 7184 8

184 8.4184 10184 12.7184 15184.1 8.4

184.15 6.35184.2 5.7184.3 5.7184.5 3184.5 8.4

185 1.5185 2185 2.5185 2.62185 3

185 3.1185 3.2185 3.25185 3.5185 3.55

185 4185 4.2185 4.5185 5185 5.3

185 6185 6.5185 7185 7.5185 8

185 8.5185 9185 10185 15185.34 3.5

185.4 5.33185.5 8.5186 3186 3.5186 4

186 4.5186 5186 6186 7186 8

186 9.5186.5 3.53186.5 8.5187 3187 3.5

187 3.53187 4187 5187 5.33187 7

187.3 6.99187.5 4187.5 6187.5 15187.62 2.62

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

187.7 1.7187.74 3.53188 1.5188 2188 3

188 3.5188 4188 5188 6188 6.5

188 7188 8188 10188 12188 15

188.1 2.5188.5 9189 2.6189 3189 3.5

189 4189 4.5189 5189 6189 8.4

189.1 8.4189.2 5.7189.3 5.33189.3 5.5189.3 5.7

189.5 2.5189.5 3189.5 4.5189.5 8.4189.6 5

189.8 2.5189.86 7.06189.87 5.33189.87 6.99190 2

190 2.5190 2.6190 2.65190 2.7190 3

190 3.1190 3.2190 3.5190 3.55190 4

190 4.5190 5190 5.3190 5.5190 5.8

190 6190 6.3190 6.5190 7190 7.5

190 8190 8.5190 9190 10190 12

190 13190 14190 15190 20190 25

190.1 3.53190.18 2.62190.5 3.17191 3191 3.5

191 4191 5191 5.5191 6191 7

191 7.5191 8191 14191.1 6191.2 6

192 2192 2.5192 3192 3.5192 4

192 4.5192 5192 6192 6.1192 7

192 8192 14192.22 6.99193 1.5193 2

193 2.62193 3193 3.5193 4193 5

193 6193 6.5193 7193 16193.5 4

193.5 5193.5 5.33193.7 6.99194 2194 2.2

194 2.5194 3194 3.5194 4194 5

194 5.33194 6.1194 7194.1 8194.1 8.4

194.2 5.7194.3 3.1194.3 5.7194.44 2.53194.5 2

194.5 3194.5 8.4194.7 5.3195 2195 2.5

195 3195 3.5195 3.55195 3.75195 4

195 5195 5.3195 5.5195 5.9195 6

195 7195 7.5195 8195 8.6195 9

195 10195 15195 16195.5 5196 3

196 3.5196 4196 4.5196 5196 6

196 7196 8196 10196.22 1.78196.22 5.33

196.22 6.99196.22 8196.44 3.53196.44 6.35196.53 2.62

196.9 3.2197 3197 3.5197 4197 5

197 8197.15 3.53198 3198 3.5198 3.8

198 4198 5198 6198 6.5198 7

198 7.5198 8198 9.5198 10198.5 3

198.7 10199 3199 3.5199 4199 5

199 7199 11199.1 8.4199.2 5.7199.2 7

199.3 3199.3 5.7199.5 3199.5 8.4199.8 6.99

200 1.5200 1.6200 1.78200 2200 2.5

200 2.62200 2.8200 3200 3.2200 3.5

200 3.55200 4200 4.2200 4.5200 5

200 5.3200 5.5200 5.6200 6200 6.3

200 6.5200 7200 8200 8.35200 8.6

200 10200 10.2200 11200 12200 15

200.5 8.4200.7 6.99201 3201 3.5201 4

201 5201 6201 8201 9201 10

201 11201 12202 2202 3202 3.5

202 3.6202 4202 5202 5.5202 6

202 7202 8202 12.5202 12.7202 18

202.57 5.33202.57 6.99202.79 3.53202.87 2.62203 3

203 3.5203 4203 5203 6203 6.35

203 7203 12203 15203.5 4203.5 6

204 2.5204 3204 3.5204 4204 4.5

204 5204 6204 7204 8204 8.4

204 15204.1 8.4204.2 5.2204.2 5.7204.4 14

204.5 3204.5 8.4204.7 3.5205 1.5205 2

205 2.5205 3205 3.5205 3.6205 4

205 4.5205 5205 5.33205 5.5205 6

205 7205 7.5205 8205 9205 11

205 15205 20205.3 6205.87 11.1206 3

206 3.5206 4206 5206 5.3206 5.7

206 6.99206 7206 8206 10206 12

206 14206 15206.5 3.53207 3 207 3.5

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

89


90

207 4207 4.5207 5207 5.7207 7

207 9207.5 5.5207.5 7.5208 3208 3.3

208 3.5208 3.6208 4208 4.5208 5

208 5.5208 6208 6.65208 7208 8

208 8.5208 9208.5 3.5208.5 8.4208.92 5.33

208.92 6.99209 1.78209 3209 3.5209 4

209 5209 5.3209 7209.1 8.4209.14 3.53

209.2 5.7209.23 2.62209.3 5.7209.5 3209.5 6

209.5 8.4209.55 6.35210 1.5210 1.8210 2

210 2.5210 3210 3.1210 3.5210 4

210 4.5210 5210 5.5210 6210 6.4

210 6.5210 7210 7.5210 8210 8.6

210 9.5210 10210 11210 12210 13

210 20211 3211 3.5211 4211 5

211 5.7211 12211.5 5.7212 1.78212 2.5

212 2.75212 3212 3.15212 3.5212 3.55

212 4212 5212 5.3212 5.7212 6

212 6.3212 6.5212 7212 8212 10

212 12212.4 7.3212.5 4.5212.5 15212.6 2.18

213 2.4213 3213 3.5213 4213 5

213 5.4213 8.5213.91 6.35214 2214 2.5

214 3214 3.5214 4214 4.5214 5

214 5.5214 6214 7214 12214 20

214.1 8.4214.3 5.7214.5 3214.5 7214.5 8.4

215 2.2215 2.5215 3215 3.5215 4

215 4.5215 5215 5.3215 5.5215 5.7

215 6215 6.4215 6.5215 7215 7.5

215 8215 10215 13.5215 20215.17 2.62

215.27 2.62215.27 5.33215.27 6.99215.49 1.78215.49 3.53

215.58 2.62215.65 1.59215.67 5.33215.9 1.78215.9 6.35

216 2216 3216 3.5216 4216 5

216 6216 6.99216 8216.5 2.5216.65 1.9

216.65 2.7217 1.78217 3217 3.5217 4

217 5217 5.2217 6217 7217 7.5

217 8217.5 2.5218 2218 2.2218 3

218 3.5218 3.55218 3.6218 4218 4.2

218 4.5218 5218 5.3218 5.33218 5.8

218 6218 6.35218 7218 7.2218 8

218 10218 12218 19218.19 3.53218.4 4.18

218.5 4.5218.5 5.8218.7 2219 3219 3.4

219 3.5219 4219 4.5219 5219 8.4

219 16219.1 8.4219.2 5.7219.3 5.7219.49 3.53

219.5 3219.5 5.33219.5 8.4220 2220 3

220 3.5220 4220 4.5220 5220 5.33

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

220 5.7220 6220 6.5220 6.8220 7

220 7.5220 8220 8.2220 8.4220 8.6

220 10220 10.11220 14220 15220 16

220 20221 3221 3.5221 4221 4.5

221 5221 6221 8221.5 5.7221.62 5.33

221.62 6.99221.84 3.53221.93 2.62222 1.78222 2

222 2.5222 2.62222 3222 3.2222 3.5

222 4222 5222 5.5222 6222 6.5

222 6.53222 7222 12222 12.7222.4 5

222.5 3222.5 6222.94 2.6223 2223 3

223 3.5223 4223 5223 6223 12

223.3 5.7223.9 8.2224 3224 3.5224 3.55

224 3.8224 4224 5224 5.3224 6.3

224 7224 8.4224 10224.2 2.5224.3 3.1

224.5 6.4224.5 8.4225 2225 2.5225 2.8

225 3225 3.5225 3.53225 4225 4.5

225 5225 5.2225 5.7225 6225 6.3

225 6.5225 7225 8225 10225 12

225 15225 20225.2 5.7225.5 5226 2

226 2.5226 3226 3.5226 4226 5

226 6226 8226 10226 11226 12.7

227 2227 2.5227 3227 3.3227 3.5

227 4227 4.5227 5227 6.5227 7

227 9227 10227 20227.97 5.33227.97 6.99

228 2.5228 2.6228 3228 3.5228 4

228 5228 5.7228 6228 7228 7.5

228 8228 10228 20228.19 3.53228.28 2.62

228.47 7.66228.6 6.35228.8 2.5229 3229 3.5

229 4229 5229 6229 9229 12

229.1 8.4229.2 5.7229.3 5.7229.5 3229.5 5

229.5 8.4230 1.78230 2230 2.5230 3

230 3.5230 3.55230 3.8230 4230 4.5

230 5230 5.3230 5.33230 5.5230 5.7

230 6230 7230 7.5230 8230 8.72

230 9230 10230 11230 15230 18

230 20230.84 3.5231 3231 3.5231 4

231 5231 8.4231 15231.78 11.11232 2.5

232 3232 3.5232 4232 5232 6

232 7232 8232 9.5232 9.52232 17

232.2 3.6232.55 3.53233 3233 3.2233 3.5

233 4233 5233 6.5233 7233 8

234 2.5234 3234 3.5234 4234 5

234 6234 6.5234 8234 8.4234 8.5

234 10234 15234 16234.1 8.4234.22 5.33

234.3 5.7234.32 5.33234.32 6.99234.5 3.3234.5 5.33

234.5 8.4234.54 3.53234.63 2.62234.82 2.62235 2

235 2.3235 2.5235 3235 3.5235 4

235 5235 5.33235 5.5235 6235 6.99

235 7235 8235 8.5235 9235 10

235 12235 15235 15.9236 3236 3.5

236 3.55236 4236 5236 5.3236 6

236 7236 12236 14236.55 4.33237 3

237 3.15237 3.5237 3.53237 4237 4.2

237 5237 5.5237 6237 7237 7.5

237.2 2.2237.5 6238 2238 3238 3.2

238 3.5238 3.6238 4238 5238 5.5

238 5.7238 6238 6.3238 7238 8

238 10238 12239 3239 3.5239 4

239 5239 6239 6.5239 7239 7.5

239 8239 10239.1 8239.1 8.4239.1 10

239.2 5.7239.3 5.7239.3 6.5239.3 7239.5 2.75

239.5 3239.5 7.5239.5 8.4240 2240 2.5

240 3240 3.5240 3.53240 4240 4.2

240 4.5240 4.8240 5240 5.7240 6

240 6.5240 7240 7.5240 8240 8.4

240 8.6240 9240 10240 11240 12

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

91


92

240 14240 15240 20240.1 3.9240.67 5.33

240.67 6.99240.89 3.53240.98 2.62241 2.5241 3

241 3.5241 4241 5241 5.3241 6

241 6.4241 7242 3242 3.5242 4

242 4.5242 5242 6242 6.5242 8

242.02 5.33242.5 8242.5 10242.6 6243 2.93

243 3243 3.3243 3.5243 4243 4.5

243 5243 7243 8.5243 17243.5 1.78

243.5 6244 2244 3244 3.5244 4

244 5244 5.5244 6244 7244 8

244 9244 11244.1 8.4244.3 5.7244.5 8.4

245 2245 2.5245 2.62245 3245 3.5

245 4245 5245 5.34245 6245 6.5

245 6.7245 7245 7.5245 8245 10

245 11245 12245 15245.2 5.7246 2

246 2.5246 3246 3.5246 4246 5

246 6246 8246 9.5246 15247 2

247 3247 3.5247 4247 5247 5.33

247 6247 6.99247 7247 8247 10

247 12247.02 5.33247.24 3.53247.33 2.62248 2

248 3248 3.2248 3.5248 4248 5

248 6248 7248 8248 9248 10

248 11248 12248 13248 15248.2 7.2

248.5 7249 3249 3.5249 4249 5

249 6249 7249 8249 8.4249.1 8.4

249.1 8.5249.2 5.7249.3 5.7249.5 3249.5 8.4

250 2250 2.5250 2.62250 3250 3.5

250 3.53250 3.55250 4250 4.5250 4.6

250 5250 5.3250 5.33250 5.5250 5.7

250 6250 6.3250 6.5250 7250 8

250 9250 10250 12250 15250 18

250 20250.5 9.5250.9 9.1251 3251 3.5

251 4251 5251 7251 8251 12

251.14 6.99251.3 7252 2252 2.5252 3.5

252 3.53252 3.6252 4252 5252 5.7

252 6252 10252 15252.8 3.6253 3.5

253 4253 5253 5.34253 7253 8

253 12253.3 6.99253.37 5.33253.4 7253.5 3.53

253.57 5.33253.57 6.99253.59 1.78253.59 3.53253.77 7

253.8 14253.97 6.99254 3254 3.5254 4

254 5254 6.35254 8254 10254.1 1.9

254.3 5.7254.5 3254.5 4.52254.5 8.4254.7 8

255 2255 2.5255 3255 3.5255 3.53

255 4255 4.2255 5255 5.7255 6

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

255 7255 8255 10255 20255.5 10.2

256 2256 2.5256 3.5256 4256 5

256 7.2256 7.3256 7.5256 8256 10

256 12256.5 8.5257 3257 3.5257 4

257 4.5257 5257.5 3257.8 2.62258 3

258 3.5258 3.55258 4258 5258 6

258 6.3258 7258 8258 9258 10

258 12258 15258.5 3.5258.5 9259 2.62

259 3259 3.5259 4259 5259 6

259 8259 10259 18259.1 8.4259.2 5.7

259.24 3.53259.26 2.62259.3 3259.3 5.7259.5 5

259.5 8.4259.7 6.99260 2260 2.5260 3

260 3.5260 3.53260 4260 4.1260 4.5

260 5260 5.5260 6260 6.5260 6.99

260 7260 8260 8.6260 10260 20

260.5 3.3260.5 5.3261 3.5261 4261 5

261 5.33261.5 8262 2262 3.5262 4

262 5262 5.25262 5.5262 6262 7

262 8262 9262 10262 13262 14

262.34 3.53262.5 5.5263 3.5263 4263 5

263 6.5263.4 5263.5 7263.52 9.5263.7 8.6

264 2.8264 3264 3.5264 4264 4.5

264 4.6264 4.8264 5264 8264 8.2

264 8.4264 18264.1 8.4264.2 5.7264.5 2.62

264.5 8.4264.8 6.6265 2265 2.5265 3

265 3.2265 3.5265 3.55265 4265 4.4

265 5265 5.3265 5.33265 5.5265 5.7

265 6265 6.5265 7265 8265 10

265.5 2.5266 3.5266 4266 5266 5.7

266 6266 7266 10266 19266.07 5.33

266.07 6.99266.1 10266.3 3.53266.5 3266.7 4.76

266.7 6.35266.7 6.99267 2267 2.5267 2.7

267 3267 3.5267 4267 4.5267 5

267 6267 6.5267 7267 14267.5 5.5

268 2.5268 3268 3.5268 4268 5

268 6.8268 7268 8268 8.4268 10

268.5 8.4268.8 8.4269 2269 2.5269 3

269 3.5269 3.53269 4269 5269 5.5

269 6269 6.9269 8269 9269.2 5.7

269.24 5.33269.3 5.5269.3 5.7269.5 6269.5 8

269.5 8.4270 2.2270 2.5270 3270 3.5

270 4270 5270 5.3270 5.5270 6

270 6.3270 6.5270 7270 7.5270 7.6

270 8270 9270 10270 12270 13

270 14271 3271 3.5271 4271 5

271 5.33272 2.5272 3272 3.5272 3.53

272 4272 4.3272 5272 5.3272 7

272.4 6.99272.4 7272.64 3.53272.97 5.55273 3.5

273 4273 4.5273 5273 6273 7

273 8273 12273 16274 2274 3

274 3.5274 4274 5274 6.5274 8

274 8.4274 8.6274.2 5.7274.3 3.1274.5 4

274.5 8.4275 2.5275 3275 3.5275 4

275 5275 5.15275 6275 7275 7.4

275 7.5275 7.6275 8275 8.4275 10

275 13275 14275.6 3.53275.8 8276 2

276 2.15276 3276 3.5276 4276 5

276 5.34276 6276 6.4276 7276 8

276 12276.43 2.62277 3277 3.3277 3.5

277 4277 5277 6277 7.5277.8 2.62

278 3278 3.15278 3.2278 3.5278 4

278 5278 6278 8278 10278 12

278.7 3.53278.7 5.7278.7 7.4278.77 5.33278.77 6.99

278.89 3.53279 3279 3.5279 3.53279 4

279 5279 6279 6.9279 7279 8.4

279.1 8.4279.2 5.7279.3 3.17279.3 5.7279.4 6.35

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

93


94

279.5 8.4280 2.5280 3280 3.5280 3.55

280 4280 4.5280 5280 5.3280 5.33

280 6280 6.3280 7280 8280 8.6

280 9280 10280 12280 15280 16

280 17280 20281 3.5281 4281 4.5

281 5282 3.5282 4282 5282 6

282 8282 14282.17 3.53283 2283 3.5

283 4283 5283 5.33283.18 6.99283.18 12.7

283.5 9284 2.62284 3.5284 4284 5

284 6284 8284 8.4284 9284 10

284 12284 14284.2 5.7284.3 5.7284.3 6

284.5 4284.5 8.4284.75 3.53285 2.4285 3

285 3.5285 4285 5285 5.33285 6

285 7285 8.4285 9.53285 10285 10.7

285 15285 17285.1 6.99285.75 7.94285.87 3.53

286 2.4286 2.43286 3.5286 4286 5

286 5.5286 6286 6.2286 7286 8

286 10286.8 8287 3.5287 4287 4.2

287 5287 10287 15287 20287.7 5.3

288 2.62288 3.5288 3.53288 4288 5

288 6288 7288 14288 18288.2 6

289 3.5289 4289 5289 8.4289.2 5.7

289.3 5.7289.5 8.4290 2290 2.5290 3

290 3.5290 3.55290 3.75290 4290 5

290 5.3290 5.33290 6290 6.5290 7

290 7.5290 8290 9290 9.6290 10

290 12290 15291 3291 3.5291 4

291 5291 6.2291.4 3.53291.47 5.33291.47 6.99

291.47 7.82291.7 3.53292 1.5292 2.65292 3

292 3.17292 3.5292 4292 5292 5.7

292 6292 7292 8292 9292 10

292 20292.1 3.18292.1 6.35292.6 8.4292.79 3.53

293 2.5293 3293 3.5293 4293 5

293 5.5293 6293 7294 2.7294 3

294 3.5294 4294 5294 6294 11.5

294 14294 17294 20294.2 5.7294.48 7

294.5 6294.5 8.4295 2295 2.6295 2.9

295 3295 3.5295 4295 5295 6

295 7295 8295 10295 12295 15

295 17295 20295.5 5295.5 8.4295.8 12.7

296 2.5296 3296 3.5296 4296 5

296 5.33296 8.4296 12297 2.4297 3

297 3.5297 4297 5297 7297 8.8

297.5 5297.57 5.7297.8 6.99298 2.4298 2.5

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

298 2.53298 2.62298 3.5298 4298 5

298 6298 7298 7.2298 10298 11

298 12298 15298.5 6.35298.5 9298.7 8.6

299 2.62299 3.5299 4299 5299 8.6

299.1 8.4299.2 5.7299.3 5.7299.5 8.4300 1

300 2300 2.3300 2.5300 2.62300 3

300 3.2300 3.5300 3.53300 3.55300 4

300 4.5300 5300 5.3300 5.7300 6

300 6.5300 7300 7.5300 8300 8.4

300 8.6300 9300 10300 12300 12.5

300 12.7300 15301 1.78301 3.5301 4

301 4.5301 5301 6301.5 2.62302 3.5

302 3.53302 4302 4.3302 5302 8

302 8.4302 12.5303 3.5303 4303 5

303 6303 9.5303.5 9304 3304 3.5

304 4304 5304 5.7304 6304 7

304 8304 8.4304 9.53304.1 5.7304.17 5.33

304.17 6.99304.2 5.7304.36 5.7304.39 3.53304.8 3.2

304.8 6.3305 3305 3.5305 4305 4.5

305 5305 5.3305 6305 6.35305 6.7

305 7305 7.25305 7.5305 8305 8.5

305 10305 20305.5 8306 3.5306 4

306 5306 6306 6.3306 8306.4 2.62

306.5 2306.8 10307 3.5307 3.55307 4

307 5307 5.3307 6.8307 7307 8.4

307 9307 9.2307 12307.57 3.53308 3

308 3.5308 4308 5308 6308 7

308 8308 9308.86 5.33309 3309 3.5

309 4309 4.5309 5309.1 8.4309.2 5.7

309.5 4.5310 2310 2.5310 3310 3.5

310 4310 4.5310 5310 5.7310 6

310 6.5310 6.6310 7310 8310 8.4

310 8.5310 9310 10310 12310 15

310 16310.13 5.33310.5 6.99311 3.5311 4

311 5311 6312 2.62312 3312 3.5

312 4312 5312 5.3312 5.5312 6.3

312 8312 10312 18313 3313 3.5

313 4313 5313 7313 10313.26 2.62

313.5 7314 2.62314 3314 3.5314 4

314 5314 6314 7314 7.5314 8

314 8.4314 8.6314 12314.3 5.7314.5 5.7

314.5 8.4315 2.5315 3315 3.5315 3.53

315 3.55315 4315 4.5315 5315 5.3

315 5.33315 6315 6.99315 7315 8

315 10315 12315 15315 20315.6 6.99

315.8 3.53316 2.62316 3.5316 4316 5

316 7316 8316 9316 12316.26 2.62

316.7 5.33316.87 6.99316.9 12.5317 3.5317 4

317 5317 7317 9317.5 2.62317.5 6.35

317.5 9.5318 2318 3318 3.5318 4

318 5318 6.3318 14318.5 5319 3.5

319 4319 5319 5.7319 7319 8.4

319 10319.1 8.4319.2 3.53319.2 5.7319.3 5.7

319.5 5.7319.5 8.4320 2320 2.5320 3

320 3.5320 4320 5320 5.33320 5.5

320 6320 6.5320 7320 8320 8.6

320 10320 12320 20320.5 14321 3.5

321 4321 5321 5.33321 12.7321 13

322 3.5322 4322 5322 8322 9

322 13322.5 4322.86 8.02323 2.62323 3.5

323 4323 5323 5.7323 7323 10

323.2 6.99323.3 5.7323.7 8.6323.8 5324 3.5

324 4324 5324 5.34324 6324 7

324 8324 8.4324 9.53324 17324.1 8.4

324.3 5.7324.5 7.5325 2.5325 3325 3.5

325 3.52325 4325 5325 5.2325 5.3

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

95


96

325 5.5325 6325 6.5325 7325 7.5

325 8325 10325 11325 12.7325 16

325.6 3.2326 3326 3.5326 4326 5

326 5.5326 5.7326 8326 11327 3.5

327 3.53327 3.6327 3.7327 4327 5

327 8327 14327.56 5.33328 2.5328 2.98

328 3328 3.5328 4328 5328 6

328 7.5328 10328 12328.5 6328.5 6.5

328.6 8329 3.5329 4329 5329 8

329.2 5.7329.3 5.7329.5 8.4329.57 5.33329.57 6.99

329.8 3.53329.8 3.75330 2330 3330 3.2

330 3.5330 4330 4.5330 5330 5.5

330 5.7330 6330 6.5330 7330 7.5

330 8330 8.4330 8.5330 8.75330 9

330 9.53330 10330 13330 14330 15

330 16330 20330.2 6.3330.2 6.35330.2 12.7

330.3 12.5331 3331 3.5331 3.53331 4

331 5332 3332 3.5332 4332 5

332 5.33332 6332 16333 3.5333 4

333 4.5333 5333 6333 7333 8

333 10333 12333.2 3.6334 2.5334 3.5

334 4334 5334 8334.2 12.3334.3 5.7

334.5 8.4334.7 8.6335 2.4335 3335 3.5

335 3.55335 4335 4.5335 5335 5.3

335 5.34335 6335 7335 7.5335 8

335 8.4335 10335 20335.9 6.99336 3.5

336 4336 5336 6336 7336 7.4

336 8336 9.35336 9.53336 12336.5 5.5

336.6 3.18336.6 5.8336.6 8337 3.5337 4

337 5337 6337 8337.5 7338 3

338 3.5338 4338 5338 6338 6.3

338 7338 9338 12338 13338.4 1.5

338.4 1.6338.4 3.53339 3.5339 4339 5

339 7339 8.4339 15339.2 5.7339.3 5.7

339.5 8.4339.57 5.33339.6 3340 3340 3.5

340 4340 4.6340 5340 5.33340 5.5

340 5.7340 6340 6.4340 7340 7.2

340 7.5340 8340 8.6340 9.3340 10

340 11340 12340 16340.4 3340.4 6

340.6 7.2341 3.5341 4341 5342 3

342 3.2342 3.5342 4342 5342 6

342 7342 7.5342 8342.27 5.33342.27 6.99

342.3 12.5342.5 7.4342.9 3.53342.9 5.33343 3.5

343 4343 4.5343 5343 6343 7

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

343 10344 2.5344 2.62344 3344 3.5

344 4344 5344 5.7344 6344 8

344 8.4344 9344 16344 20345 2

345 3345 3.15345 3.5345 4345 5

345 5.3345 5.33345 5.6345 5.7345 6

345 6.5345 7345 8345 10345 20

346 2346 3346 3.5346 4346 5

346 6346 8346 9.4346 9.5347 3.5

347 4347 5347 6347 7347 9

347 18348 3348 3.5348 3.53348 4

348 5348 6348 7348 8348 8.5

348 11348 12348.4 3.53348.5 6349 2.5

349 3349 3.5349 4349 5349 5.33

349 5.7349 7.5349.1 8.4349.2 5.33349.2 5.7

349.5 2.5350 2350 2.5350 3350 3.5

350 4350 4.5350 5350 5.2350 5.5

350 6350 6.5350 7350 8350 9

350 10350 11350 12350 13350 17

350 20351 3.5351 4351 5351 7

351 10352 3352 3.5352 4352 4.5

352 5352 6352 8352 10352 12

352.5 5.7353 2.62353 3353 3.5353 4

353 5353 6353 7353 10353.37 3.53

353.37 6.99353.7 8.6354 3354 3.5354 4

354 5354 5.33354 7.5354 8354.07 5.33

354.3 5.7354.5 8.4354.97 5.33354.97 6.99355 3

355 3.5355 3.55355 4355 5355 5.3

355 6355 7355 7.5355 12355 15

355 20355.2 3.53355.6 6.5355.6 6.99356 3.5

356 4356 5356 8356.5 10357 2.62

357 3357 3.5357 4357 5357 5.7

357 7.5357 8357 12357.4 5357.4 5.7

358 3358 3.5358 4358 5358 5.7

358 6358 6.3359 3.5359 4359 5

359 5.33359 7359 8359 8.4359.1 8.4

359.2 5.7359.3 5.7359.5 8.4360 3360 3.5

360 4360 5360 5.5360 5.6360 6

360 6.5360 7360 7.5360 8360 8.6

360 9360 10360 11360 12360 15

361 3.5361 4361 5361 6362 3

362 3.5362 4362 5362 7362 8

362 12363 3363 3.5363 4363 5

363 5.34363 6363 8364 3.5364 3.53

364 4364 5364 8.4364.2 5.7365 2

365 3365 3.5365 4365 4.5365 5

365 5.3365 5.75365 6365 7365 8

365 8.5365 10365.1 8.4365.5 12.5366 2.5

366 3.5366 4366 5366 7366 8

366 9366.1 3366.54 3.53367 3367 3.5

367 4367 5367 7367 7.5367 8

367 20367.67 6.99367.9 5.5368 2.5368 3.5

368 4368 5368 5.33368 6368 7

368 8368 10368.3 4.5369 3.5369 4

369 5369 9369.1 8.4369.3 5.7370 2.5

370 3370 3.5370 4370 5370 5.3

370 5.5370 5.7370 6370 7370 7.5

370 8370 8.4370 10370 11370 12

370 14370 15370.75 14371 3.5371 4

371 5371 8371 8.5372 3.5372 4

372 5372 6372 8372 10372 12

373 2373 2.4373 3.5373 4373 5

373 7373 8373.5 5374 3.5374 4

374 5374 5.7374 8374 9.52374 10

374 16374.2 6.35374.5 8.4374.5 9.52375 2.5

375 3375 3.4375 3.5375 3.55375 4

375 5375 5.3375 6375 6.4375 7

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

97


98

375 7.5375 8375 8.4375 9375 10

375 11375 13376 3376 3.5376 4

376 5376 6376 8376 9.5376 12

376 14377 3.5377 4377 5377 8

377 10377 15377.5 10377.7 5.7378 3

378 3.5378 4378 5378 6378 8

378 8.6378 12379 3.5379 4379 4.5

379 5379 6379.1 8.4379.2 5.7379.3 5.7

379.8 7380 3380 3.5380 3.53380 4

380 5380 5.5380 6380 6.2380 6.5

380 7380 7.5380 8380 8.4380 9

380 10380 14380 17380 20380.37 5.33

380.37 6.99380.6 3.53381 3.5381 4381 5

381 6.35381 11.11381.87 5.7382 3382 3.5

382 4382 5382 8382 10382 16

383 3383 3.5383 4383 5383 7.5

383 8.1383 8.4384 3.5384 4384 5

384 8384 8.4384 9.52384 14.09384.5 8.4

384.55 14.09385 3385 3.5385 4385 5

385 6385 6.3385 7385 8385 8.6

385 10385 12.5385 12.7385.5 6386 3.5

386 4386 5386 6386 7.5386 14

386.3 5.7386.5 5386.87 6.99386.94 3.53387 3

387 3.5387 4387 5387 5.3387 6.4

387 7387 8387 20387.35 6.73388 3.5

388 4388 4.5388 5388 6388 7

388 10389 3.5389 4389 5389 5.33

389 5.7389 6389 8389.3 5.7389.3 8.5

390 3390 3.5390 4390 5390 5.5

390 5.7390 6390 6.3390 6.55390 6.7

390 7390 7.2390 8390 9390 10

390 16390 18390.5 3.5391 3.5391 4

391 5391 6.99392 3.5392 3.53392 4

392 5392 5.33392 5.7392 6392 6.3

392 8392.8 3393 3393 3.5393 3.53

393 4393 5393 7393.07 6.99393.1 12.5

393.45 6.3393.7 2.9393.7 3.5394 2.62394 3.5

394 4394 4.8394 5394 6394 8

394 8.4394 9394 15394.72 3.53394.97 5.33

395 2395 2.5395 3395 3.5395 4

395 5395 6395 7395 8395 10

395 12395 14396 3.5396 3.55396 4

396 5396 5.5396 10397 3.5397 4

397 5397 7397 8397 10397 13

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

397.1 8.4397.51 9.53397.66 3.53397.7 5.7398 2.62

398 3398 3.5398 4398 5398 6

398 8398 10398 12399 3.5399 4

399 4.1399 5399 6399.1 8.4399.2 5.7

399.3 5.7399.42 5.33399.5 8.4399.5 8.5399.6 8.4

400 2400 2.5400 3400 3.5400 4

400 4.5400 5400 5.3400 5.5400 5.6

400 6400 6.3400 6.5400 6.7400 7

400 7.5400 8400 8.4400 8.5400 9

400 10400 12400 15400 16401 3.5

401 4402 3.5402 4402 4.5402 5.33

402 6402 6.3402 9403 3403 3.5

403 4403 6403 7403.4 5404 3

404 3.5404 4404 6404 6.5404 8

404 12404.1 8.4405 3405 3.5405 4

405 5405 6405 6.5405 7405 7.5

405 8405 9.5405 10405 12405 15

405 17405 20405.26 3.53405.26 5.33405.26 6.99

405.26 7.5405.26 8405.3 9.5406 2.62406 3

406 3.5406 4406 5406 10406.26 5.33

406.4 3.17406.4 6.35406.4 6.5406.4 15.8407 3.5

407 4407 5407 5.7407 6.3407 6.35

408 3.5408 4408 5408 6408 6.3

408 7.5408 8408 12408.3 9.5408.41 8

409 3.5409 4409 10410 3410 3.5

410 4410 4.5410 5410 5.7410 6

410 6.3410 6.5410 7410 8410 8.4

410 9410 10410 12410 15410 20

410.5 7411 3.5411 4411.48 5.33412 3.5

412 4412 5412 7412 8412 9

412 10412.7 5.6413 3.5413 4413 12

413.7 5.33414 3.5414 4414 5414 5.33

414 6.3414 8.4414 10414 12414 13

414 16414.1 8.4414.3 5.7415 3415 3.5

415 4415 4.5415 5415 5.5415 5.7

415 6415 7415 7.5415 8.4415 15

416 3.5416 4416 6416 16417 3.5

417 3.53417 4417 8417.5 5.33417.9 7

417.96 4417.96 6.99418 3.5418 4418 5.7

418 7418 8419 3.5419 4419 6

419 7419 8.4419 14419.1 6.35419.1 8.4

419.2 5.7419.3 5.7419.5 8.4419.7 6.35420 2.5

420 3420 3.5420 4420 5420 5.33

420 5.5420 6420 6.5420 7420 8

420 9420 10420 12.7421 3.5421 4

421 5421 5.2421.5 2.65422 2422 3

422 3.5422 4422 5.7422 6422 6.9

422 7.5422.2 6.2422.2 6.9423 3.5423 3.53

423 4423 6423 9423 10424 3

424 3.5424 4424 5424 7424 8.5

424 9.52425 3425 3.5425 4425 5

425 5.33425 5.5425 6425 6.5425 7

425 8425 8.4425 8.5425 16425.45 3.97

425.45 9.52426 3.5426 3.53426 4426 5.7

426 6426 17427 3.5427 4427 5

427 5.5427 10427 20428 2.62428 3.5

428 4428 6428 8429 3.5429 4

429 5.7429 6430 3430 3.5430 4

430 5430 5.7430 7430 7.5430 8

430 9430 10430 12430 13430 15

430 17430 20430.5 5.33430.66 3.53430.66 5.33

430.66 6.99431 3.5431 4431 8431 8.4

431.3 8.4431.8 3.17431.8 6.35432 3.5432 4

432 5432 10433 3433 3.5433 4

433 4.5433 7433.36 6.99433.5 5.5434 3.5

434 4434 5434 7434 8434 10

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

99


100

434.5 8.4434.9 8.25435 3435 3.5435 4

435 5435 5.7435 6435 7435 8

435 8.5435 12435 14435 15.2435 20

436 3436 3.5436 4436 7437 3.5

437 4437 6437 7438 3438 3.5

438 4438 6438 7.5438 12438 12.7

438 14438.1 3.5439 3439 3.5439 4

439 5.7439 6439 7439.1 8.4439.2 5.7

439.3 5.7439.34 5.33439.5 4439.5 5.7440 2

440 2.5440 2.8440 3440 3.5440 4

440 4.2440 4.5440 5440 5.6440 6

440 6.3440 7440 8440 8.5440 9

440 10440 14440 15440 16440 20

440.69 2.62440.69 5.33441 2.5441 4441 5

441 8442 4442 6442 12443 4

443 7443.36 6.99444 3444 4444 5

444 6444 8444 8.4444.2 5.7445 3.53

445 4445 5445 5.7445 6445 7

445 8445 9445 12445 15446 4

446 5.33446 6446 8446 10446 14

447 4447 8448 3448 4448 5

448 6448 8448 10448 14449 4

449 6449 6.99449.1 8.4449.2 6.3449.3 5.7

449.8 6449.8 6.2450 3450 4450 5

450 6450 6.3450 6.5450 7450 8

450 8.6450 10451 4451 7451 9

451 10452 4452 5.33452 6452 8

452 12452.4 9453 3.5453 4453 5.7

453 6453 6.35453 6.4453.3 5.7454 4

454 5454 8454 9.5454 10455 3

455 4455 5455 6455 6.2455 7

455 8.4455 13456 4456 7456 7.5

456.06 3.53456.06 5.33456.06 6.99457 3457 4

457 6.35457 7457 8457 8.4457 9

457 9.52457.2 7458 4458 6458 9

458 10458 12458.5 10459 4459.2 5.7

459.3 5.7460 3460 4460 5460 6

460 6.5460 7460 7.4460 8460 8.2

460 8.4460 8.5460 10460 12461 4

461 5461 7461 8.4461 8.6461.4 8.6

462 3462 4462 5.33462 7462 10

462 13462 15462.1 8.4463 4463 8

463 9.5463.55 7463.55 12.7464 3.5464 4

464 6464 7.5464 8464 9465 3

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

465 4465 5465 6465 7465 8.4

465 9465 10465.3 5.7466 4466 5

466.72 6.35467 4467 5.7467 7.8467 8.4

467 10468 3.53468 4468 6468 6.3

468 7468 8468.76 6.99468.9 6.35469 3

469 4469 4.77469 5.7469 6.35469 7

469.3 5.7469.5 6.4469.9 6.35469.97 4.77470 2.5

470 3470 3.5470 4470 4.5470 5

470 5.2470 5.3470 5.33470 5.5470 5.7

470 6470 7470 8470 9.5470 10

470 12470.4 5.7470.4 6471 4471 9

471 10472 3.53472 4472 5472 5.7

472 8472 10473 4473 6.5473 7.5

473.6 5.7474 3474 3.53474 4474 12

474.3 5.7474.5 8.4475 3475 4475 5

475 6475 7475 8475 10475 15

475.08 8.74475.4 5476 4476 4.5476 5

476 5.5476 7477 4477 6.99477 8

478 4478 5478 6478 8478 14

478 17479 4479.2 5.7479.3 5.7479.42 4.75

480 4480 5480 6480 7480 7.5

480 8480 8.6480 9480 10480 12

480 14480 16480 20481 3.55481 4

481 5.33481 6481 7481 8481 8.4

481.46 5.33481.46 6.99481.83 5.3482 3.53482 4

482 5482 5.34482 6482.6 6.35483 3

483 4483 6483 7483 7.15483 8.4

484 3484 4485 3485 4485 5

485 8485 15485.3 4.8486 4486 6

486 7486 12486 17486 20486.76 6.99

487 4487 7487 8487 10488 4

488 5488 6488 9488 10488.5 3

489 3489 4489 6489.2 5.7489.87 6.99

490 2490 4490 5490 5.33490 6

490 6.35490 6.5490 6.7490 7490 7.5

490 8490 8.4490 9490 10490 12

490 12.7490 15490 16491 4491 5.33

491.49 5.33491.5 4491.5 8.5492 4492 5.33

492 6492 6.3492 8492 9492 10

492.13 5.33492.25 3.53493 4493 7493 12.7

493.5 4494 4494 4.5494 5.34494 6

494 7494 8494.1 5.7494.1 8.4494.16 6.5

494.16 6.99494.5 8494.6 5.33494.67 7495 3

495 4495 4.5495 5495 6.3495 7

495 8495 8.4495 14495.3 6.35496 4

496 6496 10496 12496.9 5.33497 4

497 5.34498 4498 6.99498 8498.5 7.5

499 4499 12499.2 5.7499.3 5499.3 5.7

499.5 7499.5 8.4500 3500 3.53500 4

500 5500 6500 6.3500 6.99500 7

500 7.5500 8500 8.5500 9500 10

500 12500 14500 15501 5501.65 3.53

502 5.33502 8502 8.2502 8.6502 16

502.9 8.4503 6503 7.5503 10504 6

504 8504.5 8505 2.62505 3505 4

505 5.7505 6505 7505 8505 10

506 3.5506 6506 7506 8506.81 5.33

506.86 6.99506.86 8507 3507 4507 5

507 8.5507 15507.5 5.3508 4508 6

508 6.35508 8508 8.5508 10508 12

508.74 4509 3.5509.1 8.4509.3 5.7509.4 6

509.6 6510 3510 3.5510 4510 4.5

510 5510 5.7510 6510 6.5510 7

510 8510 8.5510 9510 10510 12

510 16511.5 8512 3512 4512 6

512 7512 7.6512 8512 10512 18

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

101


102

513 4513 5.66514 8514 8.4514 10

514 14514.3 5.7514.6 5.33514.9 16515 3

515 4515 5515 6515 7515 8

515 10516 6516 8516 8.4516 12

518 3518 6.4518 8518.5 3519 2.62

519 6519 8519.3 5.7520 3.5520 3.53

520 4520 5520 5.5520 6520 7

520 8520 9520 10520 12520.06 6.99

520.06 7520.5 9.98520.5 15520.7 6.35521 5.33

522 3522 6522 7522 8522 8.4

522 8.7522 9.5522 10523 5523 7

524 3524.8 10525 2.62525 3525 4

525 5525 5.7525 6525 7525 8

525 9525 12525.9 13526 3.5526 4

526 20526.4 5.7527 4.7527 7528 3

528 3.5528 8528 10528 10.82528 17

528.5 10.82529 3529 5.34529.3 5.7530 3

530 3.5530 4530 5530 5.33530 6

530 6.5530 7530 8530 9530 9.5

530 9.55530 10530 12531 7531 8

532 4532 6.5532 7532 8.4532 10

532.2 5.33532.26 6.99533 6533 7533 8

533.4 9.5534 4534 5.7534 16534.1 8.4

534.5 8.4535 4535 5535 5.7535 7

535 8535 10537 7537 8538 3

538 6538 7538 8538 8.4538 12

538.5 8539 3.5539 7540 3540 4

540 4.5540 5540 5.7540 6540 6.5

540 7540 8540 10540 12540 20

541 14542 7542 8542 10542.9 8.4

543 3.5544 6544 6.5544 8544 16

544.3 5.7545 3545 4545 5545 5.7

545 7545 8545 9545 12545 15

545.47 6.99546 8546 14546 15546.1 6.35

547 8547 14547.6 9.5548 3.5548 5.7

548 6.5549 3549 6549 9.52550 3

550 4550 5550 5.5550 6550 7

550 8550 9550 10550 13550 14

550 16552 2.62552 4552 5.33552 6

552 6.3552 8553 8553 8.4553.34 6.99

554 3.8554 4554 5554 5.33554 7

554 10554 12554.3 5.7555 3.53555 5

555 6555 6.2555 6.35555 7555 9

555 10555 11.5555 12556 8556 10

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

556 18557 5.33557.61 5.33557.66 6.99558 3

558 4558 5.7558 6.3558 7558 10

558.5 8.5558.8 4559.1 6.35559.6 12560 3

560 4560 4.35560 4.5560 5560 6

560 6.3560 7560 8560 8.2560 8.4

560 9.6560 10560 12561 5561 8

561 8.5561.5 8.5561.5 9562 4562 7.5

563 3563 7564 5.33564 6564 8

565 5565 5.3565 5.7565 6565 7

565 8565 8.4565 10565.9 7566 6.35

566 9567 3567 20567.4 5.33568 4

568 4.4568 4.5568 5568 6568 7

568 8568.5 10568.6 8.4569 6569 7

569.27 6.99569.6 8.7570 3570 3.53570 4

570 5570 5.7570 6570 7570 8

570 8.4570 9.5570 10570 12570.65 8.4

571 5571 6.35571 10571.5 5571.5 6.35

572 4572 5.33572 10572.4 9574 5.34

574 7574 10575 5575 6575 6.5

575 7575 8576 6576 7576 8

577 7577 20577 21577.85 6.99578 12

578 17579 6579 8579.3 5.7580 3

580 3.53580 4580 4.5580 5580 5.33

580 5.7580 6580 7580 8580 9

580 10580 12580 18581 3.53581 16

582 7582 8582 12582 12.7582 14

582.68 5.33582.68 6.99583 6.7583 7583 12

584 6.5584 7584 8.4584 20584.1 8.4

584.2 9.52585 4585 5585 6585 6.3

585 7585 7.5585 8585 9.55585 10

585 16586 5.7586 6586 7586 7.5

586 8586.5 10587 6587 10588 6

588 6.3588 6.35588 7588 8.4589 3.53

589 5589 10589 12590 3590 3.53

590 4590 4.5590 5590 6590 7

590 8.5590 9590 15590 15.88590 16

591 8592 8592 8.6593 4594 5.7

594 8594 15594.51 7.14595 5595 6

595 8595 10595 12595 14595 16

596 7596 8596 9596.27 6.99596.6 16

596.75 5597 4.48597 4.5597 7597.03 5.33

598 5.5598 6598 8598 12599 7.3

599.3 5.7599.4 7.3599.6 14.4600 3600 3.53

600 4600 5600 5.7600 6600 6.5

600 7600 8600 8.2600 9600 10

600 11600 12600 16601 7.5601.5 9.5

603 10604 7605 5605 5.7605 8.4

605.9 6.35606 3606 3.53607 3607 5

607 7608 6608 6.4608 7608 8.4

608 9608 10608 11608.08 5.33608.08 6.99

608.5 10608.8 5.33608.88 6.99608.9 9609 8

609.5 8609.6 12.7610 3.5610 4610 5

610 5.33610 5.7610 6610 6.35610 6.4

610 6.5610 7610 7.5610 8610 10

610 12610 16612 4612 7612 8

612 10613 5.33613 5.7613 6.35614 7

615 5615 5.3615 5.8615 6615 7

615 8.4615 10615 12616 6616 15.6

617 7618 3618 7618 8618 12.7

618 14618 18619 7620 4620 5

620 6620 7620 8620 9620 10

620 12620 15621 7621 8621 9

622 5.33622 7622 8622 9622.3 5.7

622.3 15.88623 8623 9624 5624 5.4

624 6.99624 8624 17625 3625 5

625 5.33625 6625 6.35625 7625 8.4

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

103


104

625 10626 7628 5628 7628 9.05

628.5 7629 3629 5.7629 6629.3 5.7

630 3.5630 4630 5630 6630 6.3

630 7630 7.2630 8630 8.4630 10

630.6 8.2631 9632 3632 8632 12

633 6633 7633.48 5.33633.48 6.99634 6

634 7635 5635 5.1635 5.7635 6

635 6.35635 7635 7.3635 8635 8.4

635 9.5635 10635 12.7636.9 3.53637 10

638 4638 4.9638 6639 4640 3

640 4640 5640 6640 6.3640 7

640 8640 9641 8.6641.6 8.7642 3.53

642 5.7642 8643 5643 8.4643.9 8.4

644 10644 11645 5645 6645 7

645 8645 10646 8.4647.07 7647.7 5.33

647.7 6.99648 5648 5.3648 6648 7

648 8648 8.4648 15649 8.4650 3

650 3.53650 4650 5650 5.7650 6

650 6.7650 7650 8650 9.5650 10

650 11650 12650 15650 20651 4

651 7651.5 11.5652 6652 9.5653 4

653 8654 6654 18655 4655.34 5.33

656 6656 7.9656 8657 8.4658 5.7

658 6658 7658 8.2658.54 5.33658.6 8.2

658.88 5.33658.88 6.99658.9 7.3659 7659 9.52

660 3660 3.5660 4660 5660 5.3

660 5.33660 5.7660 6660 7660 8

660 9660 10660 12660 12.7660 13

661 10661 14662 6.9662 8663 5.4

663 6663 8.8664 10665 5665 5.33

665 5.7665 6665 6.35665 7665 8.4

665 12665 16665.18 5.33665.4 6666 9

667 6667 7668 6668 7668 12

669 13.2669 18669.5 5.6670 3670 4

670 5670 6670 7670 8670 8.4

670 10671 10671 15672 4672 10

672 16673.1 3.53673.5 8.2674 5.7675 5.33

675 7675 8675 15675.16 6.99676 8

678 10.82679 5.33679.5 3.53679.5 5.33680 3

680 4680 5680 5.33680 6.3680 7

680 7.3680 8680 8.2680 8.4680 9

680 10680 11.5680 12680 15680.6 8.2

681 7.5681 8.2682 6682 7.5682 8

683 5683 8683 10684 6684 7

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

685 3685 4685 5.34685 5.7685 6.3

685 6.99685 7685 20686 3.5686 7

686 8687 6.35687 7688 6690 3

690 4690 5690 5.33690 6690 7

690 7.5690 8690 8.4690 9690 10

691 8692 5.34692 7694 6694 7

694 10695 6695 8695 8.4695 10

696 7697 4697 12698 7699 7

700 3700 4700 4.15700 5700 5.3

700 5.7700 6700 6.3700 6.35700 7

700 7.3700 8700 8.4700 9700 10

700 12700 13700.4 14.8701.8 3.53701.8 7

702 3702 8.6702 20702.66 5.33703 10

704 10.8704.9 13.97705 5705 5.3705 5.33

705 6705 7705 8705 14705.6 8.2

707.54 6.99708 4708 6708 7710 3

710 4710 5710 5.7710 6710 7

710 8710 8.4710 9710 10710 12

712 10712 11713 7714 8714.3 5

715 5.7715 8715 8.4715 10716 5.3

716 7717 10718 5.4718 6718 8

718 9.5719 3719 6.9719 12719.3 5.7

720 4720 5720 6720 6.3720 6.5

720 7720 8720 10720 12722 8

722 16723 6723 7723.9 12.7724 5.7

724 7724 12725 3.53725 4725 5

725 5.33725 5.7725 6725 6.99725 7

725 9725 10725 17726 7726 12

726 13726.6 12727 8728.98 13.97729 7

730 3.53730 4730 5730 5.7730 7

730 8730 8.2730 8.4730 9730 10

730 12730 16730.4 13.97730.5 7731 7

731 10731.32 6.99731.52 7732 9732.4 8

734 7735 5735 6735 6.35735 8

736 5736 7736 9.5736.6 5.33736.6 6.99

736.6 8736.6 9.52737 5.33737 7.3737 9.5

738 10738 10.25738.5 8.2739 3740 4

740 5740 5.3740 6740 6.3740 6.35

740 7740 8.4740 9740 10740 12

740 20741.5 10742 7742 8.4742 10

742 20742.9 6.99743 3.5743 7743 8

743.3 5.7744 8745 6.35745 7745 8.4

745 10748 3748 5.33749 3749 5.7

750 3.53750 4750 5750 5.33750 6

750 7750 7.5750 8750 8.4750 9

750 10750 15751 7752 5752 6

752 7752.5 8.4754 7754 8754.5 8.4

755 5755 5.34755 7755 8.4756 7

757 3757 7758 6758 8758 12

758 12.7758.8 7758.83 13.97759 5.7760 5

760 5.33760 5.9760 6760 7760 8

760 8.4760 10760 12760 14761 8

762 5762 6.35762 15763 6.99763 7

764.3 5.7765 7765 12766 5.33766 7

767 10767 19768 8.4769.3 5.7770 4

770 7770 8770 8.2770 8.3770 8.4

770 10770.3 8.4771 8.5771.5 8.5774 8.4

774 20774.1 8.4775 5.33775 8775 8.4

775 16776 7778 3779 10779.46 5.33

780 5780 5.7780 6780 7780 7.5

780 8780 8.4780 9780 10780 11

780 12780.47 5.34782 6.99782 9782 10

783 10784 7784 8.5785 3785 5

785 6.35785 7785 8785 8.4785 10

785 16785 20786 6786 7786 10

787 7787 8.4788 6789 10.82790 5

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

105


106

790 5.33790 5.7790 6.5790 8790 10

790.3 8.4791 10792 8792 20793 12

794 3.53794 7794 8.4795 5.33795 7

797.3 5.7798 4.2798 5.7799 8.4799 12

799.5 8.4800 3.53800 4800 5800 5.33

800 5.7800 6800 7800 8800 8.4

800 9800 10801 3802 15.6804 6.35

804 8804.2 5.7805 5.33805 20806 6

806 6.99806 10809 3.1809 5809.63 7

810 6810 7810 8810 8.4810 9

810 10813 12814 5.33815 5815 6

815 8815 10816 5817 8.4818 12

819.3 5.7819.87 7820 3.53820 5820 5.33

820 6820 6.3820 7820 8820 9

820 10820 12820 20822 5822.5 8.4

825 5.33825 8825 9825 10825 20

826 6826 7828 6828 7829 8

829 10830 4830 5830 5.33830 6

830 7830 8.4830 9830 10831 3

834 6.5834 10.5835 5.3835 5.34835 8

835 10835 12836 5.7836 7837 9.5

837 10838 5838 6838.2 9.52839 5.7

840 4840 4.5840 5840 6.35840 7

840 8840 9840 10840 12840 20

840 25842 7843 7843 10844 3

844 7844.2 5.7845 2.5845 7845 8

845 8.4845 10846 7846 8847 5.34

850 3850 4850 5850 6850 7

850 8850 8.4850 9850 10850 14.5

850 15850 20853 5.33854 5.7854 7

854 15.9855 6855 7855 8855 10

858 16.5860 3860 5.34860 6.99860 7

860 8860 10860 12860 20863 7

864 3.2864 5864 10865 3865 6

865 8865 8.4865 9865 10865 12

865 14865.8 16.5867 7868 10869.3 5.7

870 5870 6870 8870 10870 12

872 5874 3874.5 8.4875 4875 5.33

875 6.99875 8875 10876 7880 5

880 7880 8880 8.4880 10881 7

882 3882 6.35882 7882 10882.6 6.35

883 3883 12885 4885 5.5885 8

885 8.4886 7887 7888 8.4889 8

889.2 5.7890 3.53890 5890 5.3890 5.34

d1 d2 d1 d2 d1 d2 d1 d2

d1

d 2

890 5.7890 6891 17892 8894 3.53

894 12894 13894 14895 3.53895 4

895 6895 8895 8.4895 12900 5

900 5.33900 6.35900 7900 7.5900 8

900 9900 10902 4902.6 3904 6.99

904 7905 3.53905 10906 7907 5.33

910 5910 6.5910 8910 8.4910 10

910 12913 6914 3.2914 9.52914.4 6.35

914.4 9.52915 6915 8.4915 10916 7

918 5.7918 6918 12920 4920 6

920 7920 8920 8.5920 10920 12

922 7925 5.33925 7925 8925 10

926 5.34927 3927 6927 8930 5

930 6930 7930 9930 10932 12

932.54 6.99933 7934 8.4935 8935 10

935 20936 9.52936 10938 7939.3 5.7

940 5940 6940 6.35940 10940 12

941 3944 7945 7945 10950 3

950 5950 6950 7950 8950 10

950 20952 7952.5 7953 7954 4

955 9955 10956 3.53956 7957 3

957 5.34957 7957 20958 10959 8.4

960 7960 8.4960 10961 12963 6.35

963 10964.3 5.7965 5965 7965 7.14

965 8965 10968 7968 12969 6

970 5.33970 7970 10975 5975 5.33

975 6975 6.99975 7975 8977 7

980 5980 8980 9980 10980 12

980 16.5981 11982 3983 7984 3

985 8.4985 16987 8987 10988 5.33

988 7990 6.35990 8990 9990 12

992 8995 71000 31000 61000 7

1000 81000 8.41000 101000 121000 15

1002 3.531003 6.991003.6 8.41005 61005 9.52

1005.85 9.521006 5.331010 3.531010 51010 5.3

1010 6.991010 71010 81010 91010 10

1012 91013 61013 71014 5.341014 8

1014 8.41014 9.51015 81016 6.351016 7

1016.4 121017 51019 5.71020 41020 8

1020 101023 71023 151024 71025 5.33

1025 121026 31026 6.991027 121029 6.35

1030 5.71030 81030 91030 101030 13

1030 13.71030 141033 121035 101036 9

1038 101040 5.331040 71040 101044 8

1045 5.331045 5.71046 71046 121047 14.8

1050 71050 81050 91050 101051 5.34

1052 61054 101056 121057 51060 5.34

1060 81060 8.41060 101060 111062 5.5

1062 61065 8.41065 101066 5.331067 16

1068 81070 71070 121071 61071 7

1075 5.331075 5.71075 8.41075 201077 6.99

1080 5.331080 71080 81080 91080 10

1082 51082 5.341085 71085 121088 12

1090 61090 6.991090 81090 91090 10

1090 121094.3 5.71095 41095 81098 6.35

1100 51100 61100 71100 8.41100 9

1100 121100 201102 5.331108 101110 3.53

1110 6.991110 91112 71112 8.41113 7

1114 8.41116 121120 4.761120 6.351120 6.99

1120 8.41120 101122 51125 5.331125 8

1125 14.81125 151127.6 8.41129 5.71130 5

1130 5.71130 71130 81130 91130 10

1134 8.41135 5.341135 81139 5.371140 7

1140 121142 71142 81143 6.351145 8.4

1145 101145 19.81150 41150 71150 8

1150 8.41150 101150 161151 121155 6.35

d1 d2 d1 d2 d1 d2 d1 d2 d1 d2 d1 d2

107


108

1157 5.331160 5.71160 81160 91160 10

1164.5 5.331165 101170 5.51170 71170 10

1172 51172 5.71175 51175 151180 7

1180 81180 8.41185 71185 81185 12

1190 71192 101195 81209 6.351210 8

1220 51220 101225 81226 71230 7

1235 151240 8.41240 101246 81250 10

1260 51260 6.351260 101260 121265 7

1268 51270 61270 101280 101286 14

1290 71290 101295 151300 61300 10

1300 151305 81307.5 61320 71320 8

1320 101325 101340 81350 61350 10

1350 121368.42 6.991370 51370 101375 6

1380 7

d1 d2 d1 d2

d1

d 2

109

GermanyDICHTOMATIK GMBH

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The technical details in this catalogueare based on experience and standardtests repeated in quality assuranceand are to be seen as general and non-binding approximate values which maywell vary up or down. We thereforerecommend that you consult ourtechnical department for concretecases in which limits may be reached.

The catalogue details may be alteredwithout notice. Upon the publicationof a new catalogue, previous editionscease to be valid.

Reproduction in any from requires theexpress consent of Dichtomatik GmbH.

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DICHTOMATIK - Flupec · d1 d 2 Dimensions and tolerances Basic tolerances for O-rings DIN ISO 3601...

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Transcript of DICHTOMATIK - Flupec · d1 d 2 Dimensions and tolerances Basic tolerances for O-rings DIN ISO 3601...