Standard Specification for Industrial Perforated Plate and Screens (Square Opening Series)

ABSTRACT
This specification covers the various sizes of square opening perforated plates and screens for general industrial uses, including the separating or grading of materials according to designated nominal particle size, and lists standards for openings punched with various bar sizes and thicknesses of plate for various grades of service. This specification does not apply to perforated plate or screens with round, hexagon, slotted, or other shaped openings.
SCOPE
1.1 This specification covers the sizes of square opening perforated plate and screens for general industrial uses, including the separating or grading of materials according to designated nominal particle size, and lists standards for openings from 5 in. (125 mm) to 0.127 ( 1/8 ) in. (3.35 mm) punched with bar sizes and thicknesses of plate for various grades of service. Methods of checking industrial perforated plate and screens are included as information in the Appendix.
1.2 This specification does not apply to perforated plate or screens with round, hexagon, slotted, or other shaped openings.
1.3 The values stated in inch-pound units are to be regarded as the standard. The values given in parentheses are for information only.
1.4 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.

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ASTM E454-80(2004) - Standard Specification for Industrial Perforated Plate and Screens (Square Opening Series)
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NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.
Please contact ASTM International (www.astm.org) for the latest information.
Designation: E454 – 80 (Reapproved 2004)
Standard Specification for
Industrial Perforated Plate and Screens (Square Opening
Series)
This standard is issued under the fixed designation E454; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
This standard has been approved for use by agencies of the Department of Defense.
INTRODUCTION
Industrial perforated plate can be produced in many thousands of combinations of size and shape
of opening, bar size, thickness of material, and type of metal. Such variety is often confusing and, to
the vast majority of perforated plate users, unnecessary, since each usually requires only a very few
specifications.
The purpose of this specification is to simplify this problem by a condensed table of recommended
specifications covering a wide range of openings in which industrial perforated plate is made, with
several recommended bar sizes and thicknesses of plate for each opening, for use in various grades of
service.
By making selections from this standard, the user will be guided to specifications that are being
regularly produced, thus avoiding inadvertent selection of specifications that, because of little or no
demand,areunobtainable,exceptonspecialorder(usuallyquiteexpensiveunlessthequantityordered
is sufficient to justify the cost of special tooling).
Ifauserhasaspecificapplicationforindustrialperforatedplatethatcannotbesolvedbyaselection
from this standard, it is recommended that he consult his perforated plate supplier on the availability
of an acceptable alternative specification.
1. Scope responsibility of the user of this standard to establish appro-
priate safety and health practices and determine the applica-
1.1 This specification covers the sizes of square opening
bility of regulatory limitations prior to use.
perforated plate and screens for general industrial uses, includ-
ing the separating or grading of materials according to desig-
2. Referenced Documents
nated nominal particle size, and lists standards for openings
1 2.1 ASTM Standards:
from 5 in. (125 mm) to 0.127 ( ⁄8 ) in. (3.35 mm) punched with
E323 Specification for Perforated-Plate Sieves for Testing
bar sizes and thicknesses of plate for various grades of service.
Purposes
Methodsofcheckingindustrialperforatedplateandscreensare
2.2 ISO Standards:
included as information in the Appendix.
ISO 2194-1972, Wire Screens and Plate Screens for Indus-
1.2 This specification does not apply to perforated plate or
trial Purposes—Nominal Sizes of Apertures.
screenswithround,hexagon,slotted,orothershapedopenings.
ISO Recommendation R388-1964, Metric Series for Basic
1.3 The values stated in inch-pound units are to be regarded
Thicknesses of Sheet and Diameters of Wire.
as the standard. The values given in parentheses are for
2.3 Other Documents:
information only.
Fed. Std. No. 123 Marking for Shipment (Civil Agencies)
1.4 This standard does not purport to address all of the
safety concerns, if any, associated with its use. It is the
For referenced ASTM standards, visit the ASTM website, www.astm.org, or
contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
ThisspecificationisunderthejurisdictionofASTMCommitteeE29onParticle Standards volume information, refer to the standard’s Document Summary page on
and Spray Characterization and is the direct responsibility of Subcommittee E 29.01 the ASTM website.
on Sieves, Sieving Methods, and Screening Media. Available from International Organization for Standardization (ISO), 1 rue de
Current edition approved Oct. 1, 2004. Published November 2004. Originally Varembé, Case postale 56, CH-1211, Geneva 20, Switzerland.
approved in 1972. Last previous edition approved in 2001 as E454 – 80 (2001). Available from Standardization Documents, Order Desk, Bldg. 4 Section D,
DOI: 10.1520/E0454-80R04. 700 Robbins Ave., Philadelphia, PA 19111-5098.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959, United States.
NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.
Please contact ASTM International (www.astm.org) for the latest information.
E454 – 80 (2004)
Mil-Std-129 Marking for Shipment and Storage 3.3 Relationship of Grades—The purpose of the several
grades is to provide combinations of opening and bar size for
3. Standard Specifications
various types of service, from medium-light to heavy. Since it
3.1 Standard specifications for industrial perforated plate
is possible to vary the bar size independently from the plate
and screens are listed in Table 1.
thickness, each of the service grades lists up to three combi-
3.2 Openings—The series of standard openings listed in
nations of bar and gage for each opening. The entire standard
Table 1 include those of the USA Standard Sieve Series,
series has been designed for a logical relationship of bar size to
Specification E323, and those of the ISO apertures for indus-
opening in each grade and between grades with the capability
trial plate screens, ISO 2194–1972, with the addition of those
of also being able to vary the plate thickness.
openings in common usage.
TABLE 1 USA Standard Specifications for Industrial Perforated Plate and Screens (Square Opening Series)—(U.S. Customary Units)
Perforated Opening Medium Light Medium Medium Heavy Heavy
USA In-
Standard Gage- Open Gage- Open Gage- Open Gage- Open
dustrial Open- Bar, Open- Bar, Open- Bar, Open- Bar,
(metric), Steel, Area, Steel, Area, Steel, Area, Steel, Area,
Standard, ing, in. in. ing, in. in. ing, in. in. ing, in. in.
mm in. percent in. percent in. percent in. percent
in.
1 1 5 5 3 3
125 5 5 ⁄2 ⁄2 82.6 5 ⁄8 ⁄8 79.0 5 ⁄4 ⁄4 75.6 5 1 1 69.4
5 5 3 1 7 5 1 7
125 5 5 ⁄8 ⁄8 79.0 5 ⁄4 ⁄2 75.6 5 ⁄8 ⁄8 72.4 5 1 ⁄8 ⁄8 66.6
5 1 3 5 7 3 1
125 5 5 ⁄8 ⁄2 79.0 5 ⁄4 ⁄8 75.6 5 ⁄8 ⁄4 72.4 5 1 ⁄8 1 66.6
1 1 1 1 5 5 1 3 3 1
... ... 4 ⁄2 ⁄2 ⁄2 81.0 4 ⁄2 ⁄8 ⁄8 77.1 4 ⁄2 ⁄4 ⁄4 73.4 4 ⁄2 1 1 66.9
1 5 3 1 3 1 1 7 5 1 1 7
... ... 4 ⁄2 ⁄8 ⁄8 77.1 4 ⁄2 ⁄4 ⁄2 73.4 4 ⁄2 ⁄8 ⁄8 70.1 4 ⁄2 1 ⁄8 ⁄8 64.0
1 5 1 1 3 5 1 7 3 1 1
... ... 4 ⁄2 ⁄8 ⁄2 77.1 4 ⁄2 ⁄4 ⁄8 73.4 4 ⁄2 ⁄8 ⁄4 70.1 4 ⁄2 1 ⁄8 1 64.0
1 1 1 1 1 5 5 1 3 3 1
106 4 ⁄4 4 ⁄4 ⁄2 ⁄2 80.1 4 ⁄4 ⁄8 ⁄8 76.0 4 ⁄4 ⁄4 ⁄4 72.3 4 ⁄4 1 1 65.5
1 1 5 3 1 3 1 1 7 5 1 1 7
106 4 ⁄4 4 ⁄4 ⁄8 ⁄8 76.0 4 ⁄4 ⁄4 ⁄2 72.3 4 ⁄4 ⁄8 ⁄8 68.8 4 ⁄4 1 ⁄8 ⁄8 62.5
1 1 5 1 1 3 5 1 7 3 1 1
106 4 ⁄4 4 ⁄4 ⁄8 ⁄2 76.0 4 ⁄4 ⁄4 ⁄8 72.3 4 ⁄4 ⁄8 ⁄4 68.8 4 ⁄4 1 ⁄8 1 62.5
1 1 5 5 3 3
100 4 4 ⁄2 ⁄2 79.0 4 ⁄8 ⁄8 74.8 4 ⁄4 ⁄4 70.9 4 1 1 64.0
5 3 3 1 7 5 1 7
100 4 4 ⁄8 ⁄8 74.8 4 ⁄4 ⁄2 70.9 4 ⁄8 ⁄8 67.3 4 1 ⁄8 ⁄8 60.9
5 1 3 5 7 3 1
100 4 4 ⁄8 ⁄2 74.8 4 ⁄4 ⁄8 70.9 4 ⁄8 ⁄4 67.3 4 1 ⁄8 1 60.9
3 1 1 3 5 5 3 3 3 3 7 7
... ... 3 ⁄4 ⁄2 ⁄2 77.9 3 ⁄4 ⁄8 ⁄8 73.5 3 ⁄4 ⁄4 ⁄4 69.4 3 ⁄4 ⁄8 ⁄8 65.7
3 5 3 3 3 1 3 7 5 3 3
... ... 3 ⁄4 ⁄8 ⁄8 73.5 3 ⁄4 ⁄4 ⁄2 69.4 3 ⁄4 ⁄8 ⁄8 65.7 3 ⁄4 1 ⁄4 62.3
3 5 1 3 3 5 3 7 3 3 7
... ... 3 ⁄4 ⁄8 ⁄2 73.5 3 ⁄4 ⁄4 ⁄8 69.4 3 ⁄4 ⁄8 ⁄4 65.7 3 ⁄4 1 ⁄8 62.3
1 1 1 1 1 5 5 1 3 3 1 7 7
90 3 ⁄2 3 ⁄2 ⁄2 ⁄2 76.6 3 ⁄2 ⁄8 ⁄8 72.0 3 ⁄2 ⁄4 ⁄4 67.8 3 ⁄2 ⁄8 ⁄8 64.0
1 1 5 3 1 3 1 1 7 5 1 3
90 3 ⁄2 3 ⁄2 ⁄8 ⁄8 72.0 3 ⁄2 ⁄4 ⁄2 67.8 3 ⁄2 ⁄8 ⁄8 64.0 3 ⁄2 1 ⁄4 60.5
1 1 5 1 1 3 5 1 7 3 1 7
90 3 ⁄2 3 ⁄2 ⁄8 ⁄2 72.0 3 ⁄2 ⁄4 ⁄8 67.8 3 ⁄2 ⁄8 ⁄4 64.0 3 ⁄2 1 ⁄8 60.5
1 3 3 1 1 1 1 5 5 1 3 3
... ... 3 ⁄4 ⁄8 ⁄8 80.4 3 ⁄4 ⁄2 ⁄2 75.1 3 ⁄4 ⁄8 ⁄8 70.3 3 ⁄4 ⁄4 ⁄4 66.0
1 1 5 1 5 3 1 3 1 1 7 5
... ... 3 ⁄4 ⁄2 ⁄16 75.1 3 ⁄4 ⁄8 ⁄8 70.3 3 ⁄4 ⁄4 ⁄2 66.0 3 ⁄4 ⁄8 ⁄8 62.1
1 1 3 1 5 1 1 3 5 1 7 3
... ... 3 ⁄4 ⁄2 ⁄8 75.1 3 ⁄4 ⁄8 ⁄2 70.3 3 ⁄4 ⁄4 ⁄8 66.0 3 ⁄4 ⁄8 ⁄4 62.1
3 3 1 1 5 5 3 3
75 3 3 ⁄8 ⁄8 79.0 3 ⁄2 ⁄2 73.5 3 ⁄8 ⁄8 68.5 3 ⁄4 ⁄4 64.0
1 5 5 3 3 1 7 5
75 3 3 ⁄2 ⁄16 73.5 3 ⁄8 ⁄8 68.5 3 ⁄4 ⁄2 64.0 3 ⁄8 ⁄8 59.9
1 3 5 1 3 5 7 3
75 3 3 ⁄2 ⁄8 73.5 3 ⁄8 ⁄2 68.5 3 ⁄4 ⁄8 64.0 3 ⁄8 ⁄4 59.9
3 3 3 3 1 1 3 5 5 3 3 3
... ... 2 ⁄4 ⁄8 ⁄8 77.4 2 ⁄4 ⁄2 ⁄2 71.6 2 ⁄4 ⁄8 ⁄8 66.4 2 ⁄4 ⁄4 ⁄4 61.7
3 1 5 3 5 3 3 3 1 3 7 5
... ... 2 ⁄4 ⁄2 ⁄16 71.6 2 ⁄4 ⁄8 ⁄8 66.4 2 ⁄4 ⁄4 ⁄2 61.7 2 ⁄4 ⁄8 ⁄8 57.6
3 1 3 3 5 1 3 3 5 3 7 3
... ... 2 ⁄4 ⁄2 ⁄8 71.6 2 ⁄4 ⁄8 ⁄2 66.4 2 ⁄4 ⁄4 ⁄8 61.7 2 ⁄4 ⁄8 ⁄4 57.6
1 1 3 3 1 1 1 1 5 5 1 3 3
63 2 ⁄2 2 ⁄2 ⁄8 ⁄8 75.6 2 ⁄2 ⁄2 ⁄2 69.4 2 ⁄2 ⁄8 ⁄8 64.0 2 ⁄2 ⁄4 ⁄4 59.2
1 1 1 5 1 5 3 1 3 1 1 7 5
63 2 ⁄2 2 ⁄2 ⁄2 ⁄16 69.4 2 ⁄2 ⁄8 ⁄8 64.0 2 ⁄2 ⁄4 ⁄2 59.2 2 ⁄2 ⁄8 ⁄8 54.9
1 1 1 3 1 5 1 1 3 5 1 7 3
63 2 ⁄2 2 ⁄2 ⁄2 ⁄8 69.4 2 ⁄2 ⁄8 ⁄2 64.0 2 ⁄2 ⁄4 ⁄8 59.2 2 ⁄2 ⁄8 ⁄4 54.9
1 3 3 1 1 1 1 5 5 1 3 3
... ... 2 ⁄4 ⁄8 ⁄8 73.5 2 ⁄4 ⁄2 ⁄2 66.9 2 ⁄4 ⁄8 ⁄8 61.2 2 ⁄4 ⁄4 ⁄4 56.3
1 1 5 1 5 3 1 3 1 1 7 5
... ... 2 ⁄4 ⁄2 ⁄16 66.9 2 ⁄4 ⁄8 ⁄8 61.2 2 ⁄4 ⁄4 ⁄2 56.3 2 ⁄4 ⁄8 ⁄8 51.8
1 1 3 1 5 1 1 3 5 1 7 3
... ... 2 ⁄4 ⁄2 ⁄8 66.9 2 ⁄4 ⁄8 ⁄2 61.2 2 ⁄4 ⁄4 ⁄8 56.3 2 ⁄4 ⁄8 ⁄4 51.8
1 1 5 5 1 3 3 1 1 1 1 5 5
53 2 ⁄8 2 ⁄8 ⁄16 ⁄16 76.0 2 ⁄8 ⁄8 ⁄8 72.3 2 ⁄8 ⁄2 ⁄2 65.5 2 ⁄8 ⁄8 ⁄8 59.7
1 1 3 1 1 1 5 1 5 3 1 3 1
53 2 ⁄8 2 ⁄8 ⁄8 ⁄4 72.3 2 ⁄8 ⁄2 ⁄16 59.7 2 ⁄8 ⁄8 ⁄8 59.7 2 ⁄8 ⁄4 ⁄2 54.6
1 1 3 5 1 1 3 1 5 1 1 3 5
53 2 ⁄8 2 ⁄8 ⁄8 ⁄16 72.3 2 ⁄8 ⁄2 ⁄8 59.7 2 ⁄8 ⁄8 ⁄2 59.7 2 ⁄8 ⁄4 ⁄8 54.6
5 5 3 3 1 1 5 5
50 2 2 ⁄16 ⁄16 74.8 2 ⁄8 ⁄8 70.9 2 ⁄2 ⁄2 64.0 2 ⁄8 ⁄8 58.0
3 1 1 5 5 3 3 1
50 2 2 ⁄8 ⁄4 70.9 2 ⁄2 ⁄16 64.0 2 ⁄8 ⁄8 58.0 2 ⁄4 ⁄2 52.9
3 5 1 3 5 1 3 5
50 2 2 ⁄8 ⁄16 70.9 2 ⁄2 ⁄8 64.0 2 ⁄8 ⁄2 58.0 2 ⁄4 ⁄8 52.9
7 5 5 7 3 3 7 1 1 7 5 5
... ... 1 ⁄8 ⁄16 ⁄16 73.5 1 ⁄8 ⁄8 ⁄8 69.4 1 ⁄8 ⁄2 ⁄2 62.3 1 ⁄8 ⁄8 ⁄8 56.3
7 3 1 7 1 5 7 5 3 7 3 1
... ... 1 ⁄8 ⁄8 ⁄4 69.4 1 ⁄8 ⁄2 ⁄16 62.3 1 ⁄8 ⁄8 ⁄8 56.3 1 ⁄8 ⁄4 ⁄2 51.0
NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.
Please contact ASTM International (www.astm.org) for the latest information.
E454 – 80 (2004)
Perforated Opening Medium Light Medium Medium Heavy Heavy
USA In-
Standard Gage- Open Gage- Open Gage- Open Gage- Open
dustrial Open- Bar, Open- Bar, Open- Bar, Open- Bar,
(metric), Steel, Area, Steel, Area, Steel, Area, Steel, Area,
Standard, ing, in. in. ing, in. in. ing, in. in. ing, in. in.
mm in. percent in. percent in. percent in. percent
in.
7 3 5 7 1 3 7 5 1 7 3 5
... ... 1 ⁄8 ⁄8 ⁄16 69.4 1 ⁄8 ⁄2 ⁄8 62.3 1 ⁄8 ⁄8 ⁄2 56.3 1 ⁄8 ⁄4 ⁄8 51.0
3 3 5 5 3 3 3 3 1 1 3 5 5
45 1 ⁄4 1 ⁄4 ⁄16 ⁄16 72.0 1 ⁄4 ⁄8 ⁄8 67.8 1 ⁄4 ⁄2 ⁄2 60.5 1 ⁄4 ⁄8 ⁄8 54.3
3 3 3 1 3 1 5 3 5 3 3 3 1
45 1 ⁄4 1 ⁄4 ⁄8 ⁄4 67.8 1 ⁄4 ⁄2 ⁄16 60.5 1 ⁄4 ⁄8 ⁄8 49.0 1 ⁄4 ⁄4 ⁄2 49.0
3 3 3 5 3 1 3 3 5 1 3 3 5
45 1 ⁄4 1 ⁄4 ⁄8 ⁄16 67.8 1 ⁄4 ⁄2 ⁄8 60.5 1 ⁄4 ⁄8 ⁄2 49.0 1 ⁄4 ⁄4 ⁄8 49.0
5 1 1 5 5 5 5 3 3 5 1 1
... ... 1 ⁄8 ⁄4 ⁄4 75.1 1 ⁄8 ⁄16 ⁄16 70.3 1 ⁄8 ⁄8 ⁄8 66.0 1 ⁄8 ⁄2 ⁄2 58.5
5 5 3 5 3 1 5 1 5 5 5 3
... ... 1 ⁄8 ⁄16 ⁄16 70.3 1 ⁄8 ⁄8 ⁄4 66.0 1 ⁄8 ⁄2 ⁄16 58.5 1 ⁄8 ⁄8 ⁄8 52.1
5 5 1 5 3 5 5 1 3 5 5 1
... ... 1 ⁄8 ⁄16 ⁄4 70.3 1 ⁄8 ⁄8 ⁄16 66.0 1 ⁄8 ⁄2 ⁄8 58.5 1 ⁄8 ⁄8 ⁄2 52.1
1 1 1 1 1 5 5 1 3 3 1 1 1
37.5 1 ⁄2 1 ⁄2 ⁄4 ⁄4 73.5 1 ⁄2 ⁄16 ⁄16 68.5 1 ⁄2 ⁄8 ⁄8 64.0 1 ⁄2 ⁄2 ⁄2 56.3
1 1 5 3 1 3 1 1 1 5 1 5 3
37.5 1 ⁄2 1 ⁄2 ⁄16 ⁄16 68.5 1 ⁄2 ⁄8 ⁄4 64.0 1 ⁄2 ⁄2 ⁄16 56.3 1 ⁄2 ⁄8 ⁄8 49.8
1 1 5 1 1 3 5 1 1 3 1 5 1
37.5 1 ⁄2 1 ⁄2 ⁄16 ⁄4 68.5 1 ⁄2 ⁄8 ⁄16 64.0 1 ⁄2 ⁄2 ⁄8 56.3 1 ⁄2 ⁄8 ⁄2 49.8
3 1 1 3 5 5 3 3 3 3 1 1
... ... 1 ⁄8 ⁄4 ⁄4 71.6 1 ⁄8 ⁄16 ⁄16 66.4 1 ⁄8 ⁄8 ⁄8 61.7 1 ⁄8 ⁄2 ⁄2 53.8
3 5 3 3 3 1 3 1 5 3 5 3
... ... 1 ⁄8 ⁄16 ⁄16 66.4 1 ⁄8 ⁄8 ⁄4 61.7 1 ⁄8 ⁄2 ⁄16 53.8 1 ⁄8 ⁄8 ⁄8 47.3
3 5 1 3 3 5 3 1 3 3 5 1
... ... 1 ⁄8 ⁄16 ⁄4 66.4 1 ⁄8 ⁄8 ⁄16 61.7 1 ⁄8 ⁄2 ⁄8 53.8 1 ⁄8 ⁄8 ⁄2 47.3
1 1 1 1 1 5 5 1 3 3 1 1 1
31.5 1 ⁄4 1 ⁄4 ⁄4 ⁄4 69.4 1 ⁄4 ⁄16 ⁄16 64.0 1 ⁄4 ⁄8 ⁄8 59.2 1 ⁄4 ⁄2 ⁄2 51.0
1 1 5 3 1 3 1 1 1 5 1 5 3
31.5 1 ⁄4 1 ⁄4 ⁄16 ⁄16 64.0 1 ⁄4 ⁄8 ⁄4 59.2 1 ⁄4 ⁄2 ⁄16 51.0 1 ⁄4 ⁄8 ⁄8 44.4
1 1 5 1 1 3 5 1 1 3 1 5 1
31.5 1 ⁄4 1 ⁄4 ⁄16 ⁄4 64.0 1 ⁄4 ⁄8 ⁄16 59.2 1 ⁄4 ⁄2 ⁄8 51.0 1 ⁄4 ⁄8 ⁄2 44.4
3 3 3 3 1 1 3 5 5 3 3 3
... ... 1 ⁄16 ⁄16 ⁄16 74.6 1 ⁄16 ⁄4 ⁄4 68.2 1 ⁄16 ⁄16 ⁄16 62.7 1 ⁄16 ⁄8 ⁄8 57.8
3 1 3 5 3 3 3 1 3 1 5
... ... 1 ⁄16 ⁄4 8 68.2 1 ⁄16 ⁄16 ⁄16 62.7 1 ⁄16 ⁄8 ⁄4 57.8 1 ⁄16 ⁄2 ⁄16 49.5
3 1 3 3 5 1 3 3 5 3 1 3
... ... 1 ⁄16 ⁄4 ⁄16 68.2 1 ⁄16 ⁄16 ⁄4 62.7 1 ⁄16 ⁄8 ⁄16 57.8 1 ⁄16 ⁄2 ⁄8 49.5
1 3 3 1 1 1 1 5 5 1 3 3
... ... 1 ⁄8 ⁄16 ⁄16 73.5 1 ⁄8 ⁄4 ⁄4 66.9 1 ⁄8 ⁄16 ⁄16 61.2 1 ⁄8 ⁄8 ⁄8 56.3
1 1 1 5 3 1 3 1 1 1 5
... ... 1 ⁄8 ⁄4 8 66.9 1 ⁄8 ⁄16 ⁄16 61.2 1 ⁄8 ⁄8 ⁄4 56.3 1 ⁄8 ⁄2 ⁄16 47.9
1 1 3 1 5 1 1 3 5 1 1 3
... ... 1 ⁄8 ⁄4 ⁄16 66.9 1 ⁄8 ⁄16 ⁄4 61.2 1 ⁄8 ⁄8 ⁄16 56.3 1 ⁄8 ⁄2 ⁄8 47.9
1 1 3 3 1 1 1 1 5 5 1 3 3
26.5 1 ⁄16 1 ⁄16 ⁄16 ⁄16 72.2 1 ⁄16 ⁄4 ⁄4 65.5 1 ⁄16 ⁄16 ⁄16 59.7 1 ⁄16 ⁄8 ⁄8 54.6
1 1 1 1 5 3 1 3 1 1 1 5
26.5 1 ⁄16 1 ⁄16 ⁄4 8 65.5 1 ⁄16 ⁄16 ⁄16 59.7 1 ⁄16 ⁄8 ⁄4 54.6 1 ⁄16 ⁄2 ⁄16 46.2
1 1 1 3 1 5 1 1 3 5 1 1 3
26.5 1 ⁄16 1 ⁄16 ⁄4 ⁄16 65.5 1 ⁄16 ⁄16 ⁄4 59.7 1 ⁄16 ⁄8 ⁄16 54.6 1 ⁄16 ⁄2 ⁄8 46.2
3 3 1 1 5 5 3 3
25 1 1 ⁄16 ⁄16 70.9 1 ⁄4 ⁄4 64.0 1 ⁄16 ⁄16 58.0 1 ⁄8 ⁄8 52.9
1 5 3 3 1 1 5
25 1 1 ⁄4 8 64.0 1 ⁄16 ⁄16 58.0 1 ⁄8 ⁄4 52.9 1 ⁄2 ⁄16 44.4
1 3 5 1 3 5 1 3
25 1 1 ⁄4 ⁄16 64.0 1 ⁄16 ⁄4 58.0 1 ⁄8 ⁄16 52.9 1 ⁄2 ⁄8 44.4
15 3 3 15 1 1 15 5 5 15 3 3
... ... ⁄16 ⁄16 ⁄16 69.4 ⁄16 ⁄4 ⁄4 62.3 ⁄16 ⁄16 ⁄16 56.2 ⁄16 ⁄8 ⁄8 51.0
15 1 15 5 3 15 3 1 15 1 3
... ... ⁄16 ⁄4 8 62.3 ⁄16 ⁄16 ⁄16 56.2 ⁄16 ⁄8 ⁄4 51.0 ⁄16 ⁄2 ⁄16 42.5
15 1 3 15 5 1 15 3 5 15 1 3
... ... ⁄16 ⁄4 ⁄16 62.3 ⁄16 ⁄16 ⁄4 56.2 ⁄16 ⁄8 ⁄16 51.0 ⁄16 ⁄2 ⁄8 42.5
7 7 3 3 7 1 1 7 5 5 7 3 3
22.4 ⁄8 ⁄8 ⁄16 ⁄16 67.8 ⁄8 ⁄4 ⁄4 60.5 ⁄8 ⁄16 ⁄16 54.3 ⁄8 ⁄8 ⁄8 49.0
7 7 1 7 5 3 7 3 1 7 1 5
22.4 ⁄8 ⁄8 ⁄4 8 60.5 ⁄8 ⁄16 ⁄16 54.3 ⁄8 ⁄8 ⁄4 49.0 ⁄8 ⁄2 ⁄16 40.5
7 7 1 3 7 5 1 7 3 5 7 1 3
22.4 ⁄8 ⁄8 ⁄4 ⁄16 60.5 ⁄8 ⁄16 ⁄4 54.3 ⁄8 ⁄8 ⁄16 49.0 ⁄8 ⁄2 ⁄8 40.5
13 3 3 13 1 1 13 5 5 13 3 3
... ... ⁄16 ⁄16 ⁄16 66.0 ⁄16 ⁄4 ⁄4 58.5 ⁄16 ⁄16 ⁄16 52.2 ⁄16 ⁄8 ⁄8 46.8
13 1 13 5 3 13 3 1 13 1 5
... ... ⁄16 ⁄4 8 58.5 ⁄16 ⁄16 ⁄16 52.2 ⁄16 ⁄8 ⁄4 46.8 ⁄16 ⁄2 ⁄16 38.3
13 1 3 13 5 1 13 3 5 13 1 3
... ... ⁄16 ⁄4 ⁄16 58.5 ⁄16 ⁄16 ⁄4 52.2 ⁄16 ⁄8 ⁄16 46.8 ⁄16 ⁄2 ⁄8 38.3
3 3 3 3 3 1 1 3 5 5 3 3 3
19 ⁄4 ⁄4 ⁄16 ⁄16 64.0 ⁄4 ⁄4 ⁄4 56.3 ⁄4 ⁄16 ⁄16 49.8 ⁄4 ⁄8 ⁄8 44.4
3 3 1 3 5 3 3 3 1 3 1 5
19 ⁄4 ⁄4 ⁄4 8 56.3 ⁄4 ⁄16 ⁄16 49.8 ⁄4 ⁄8 ⁄4 44.4 ⁄4 ⁄2 ⁄16 36.0
3 3 1 3 3 5 1 3 3 5 3 1 3
19 ⁄4 ⁄4 ⁄4 ⁄16 56.3 ⁄4 ⁄16 ⁄4 49.8 ⁄4 ⁄8 ⁄16 44.4 ⁄4 ⁄2 ⁄8 36.0
11 3 3 11 1 1 11 5 5 11 3 3
... ... ⁄16 ⁄16 ⁄16 61.7 ⁄16 ⁄4 ⁄4 53.8 ⁄16 ⁄16 ⁄16 47.2 ⁄16 ⁄8 ⁄8 41.9
11 1 11 5 3 11 3 1 11 1 5
... ... ⁄16 ⁄4 8 53.8 ⁄16 ⁄16 ⁄16 47.2 ⁄16 ⁄8 ⁄4 41.9 ⁄16 ⁄2 ⁄16 33.5
11 1 3 11 5 1 11 3 5 11 1 3
... ... ⁄16 ⁄4 ⁄16 53.8 ⁄16 ⁄16 ⁄4 47.2 ⁄16 ⁄8 ⁄16 41.9 ⁄16 ⁄2 ⁄8 33.5
5 5 5 5 3 3 5 1 1 5 5 5
16 ⁄8 ⁄8 ⁄32 8 64.0 ⁄8 ⁄16 ⁄16 59.2 ⁄8 ⁄4 ⁄4 51.0 ⁄8 ⁄16 ⁄16 44.4
5 5 3 5 1 5 5 3 5 3 1
16 ⁄8 ⁄8 ⁄16 10 59.2 ⁄8 ⁄4 8 51.0 ⁄8 ⁄16 ⁄16 44.4 ⁄8 ⁄8 ⁄4 39.1
5 5 3 5 1 3 5 5 1 5 3 5
16 ⁄8 ⁄8 ⁄16 8 59.2 ⁄8 ⁄4 ⁄16 51.0 ⁄8 ⁄16 ⁄4 44.4 ⁄8 ⁄8 ⁄16 39.1
9 5 9 3 3 9 1 1 9 5 5
... ... ⁄16 ⁄32 8 61.2 ⁄16 ⁄16 ⁄16 56.2 ⁄16 ⁄4 ⁄4 47.9 ⁄16 ⁄16 ⁄16 41.3
9 3 9 1 9 5 3 9 3 1
... ... ⁄16 ⁄16 10 56.2 ⁄16 ⁄4 8 47.9 ⁄16 ⁄16 ⁄16 41.3 ⁄16 ⁄8 ⁄4
...

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