IC-NRLF 
 
 B M OEb llfi 
 
 Q D 
 
 65 
 
 M7 
 
 1913 
 
 CHEM 
 
 UCTION TABLES 
 
 MOORE 
 
THE usrjfet 
 
 ^ 
 
 UtKlLlV 
 
 LIBRARY 
 
 vumsmcx 
 JAMOMHA 
 
f\I 
 
LOGARITHMIC 
 REDUCTION TABLES 
 
 FOR STUDENTS OF 
 ANALYTICAL CHEMISTRY 
 
 BY 
 CHAKLES J. MOORE, Pn.D. (VIRGINIA) 
 
 AUSTIN TEACHING FELLOW IN .MA ANrKD ANALYTICAL CHEMISTRY 
 IN HARVARD UNIVERSITY 
 
 GINN AND COMPANY 
 
 BOSTON NEW YORK CHICAGO LONDON 
 
COPYRIGHT, 1913, BY 
 CHARLES J. MOORE 
 
 ALL EIGHTS RESERVED 
 
 913.7 
 
 GINN AND COMPANY PRO- 
 PRIETORS BOSTON U.S.A. 
 
M7 
 
 TO 
 
 THE MEMORY OF 
 
 MY DEVOTED MOTHER 
 
 THIS LITTLE VOLUME 
 
 IS DEDICATED 
 
PREFACE 
 
 These tables are intended primarily for students of analytical chemistry. 
 My aim has been to produce a book adapted to the needs of the beginner, 
 and, at the same time, to arrange the material in such a way that it may be 
 conveniently used by advanced students and chemists. 
 
 In discussing logarithms I realize I have encroached on foreign territory, 
 but, in my experience as a teacher, I have known many students who were 
 unfamiliar with the use of logarithms, and who were unwilling to acquaint 
 themselves with the subject unless it be presented as a part of their present 
 work. The subject ie important for any one to know who has many arith- 
 metical computations to make, and I hope that a sufficient number will profit 
 by the explanations to justify me in including them. , 
 
 The tables contain the most recent trustworthy values to be found in the 
 literature. These values and their logarithms have been checked three times 
 in order to eliminate possible errors. 
 
 I have used freely Landolt-Bornstein's Physikalisch-chemische Tabellen, 
 Ostwald-Luther's Physiko-chemische Messungen, and many original articles. 
 
 C. J. MOORE 
 CAMBRIDGE, MASSACHUSETTS 
 
CONTENTS 
 
 TABLE PAGE 
 
 I. ATOMIC WEIGHTS OF THE ELEMENTS AND THEIR LOGARITHMS . 3 
 II. MULTIPLES OF THE ATOMIC WEIGHTS OF COMMON ELEMENTS AND 
 
 TIIKIK LOGARITHMS 5 
 
 III. MOLECULAR WEIGHTS OF COMMON COMPOUNDS AND THEIR LOGA- 
 
 RITHMS 7 
 
 IV. MULTIPLES OF THE MOLECULAR WEIGHTS OF SOME COMMON COM- 
 
 POUNDS AND OF THE WEIGHTS OF A FEW RADICALS TOGETHER 
 
 WITH THEIR LOGARITHMS 10 
 
 V. REDUCTION OF COMPOUNDS FOUND TO CONSTITUENTS SOUGHT BY 
 
 MULTIPLICATION 11 
 
 VI. REDUCTION OF BAROMETRIC READINGS TO '. . . 16 
 
 VII. GEOGRAPHICAL LATITUDE, ELEVATION, AND GRAVITY OF SOME 
 
 IMPORTANT CITIES 17 
 
 VIII. REDUCTION OF BAROMETRIC READINGS TO NORMAL GRAVITY . . 18 
 
 IX. CAPILLARY DEPRESSION OF MERCURY 19 
 
 X. TENSION OF AQUEOUS VAPOR 20 
 
 XL REDUCTION OF WATER PRESSURE TO MERCURY PRESSURE . . .21 
 
 XII. REDUCTION OF THE VOLUME OF GASES TO NORMAL PRESSURE . 22 
 
 XIII. REDUCTION OF THE VOLUME OF GASES TO 0C 25 
 
 XIV. REDUCTION OF THE VOLUME OF GASES SATURATED WITH AQUEOUS 
 
 VAPOR TO 0, NORMAL PRESSURE, AND DRY 28 
 
 XV. OBSERVED DENSITY AND THE WEIGHT OF A LITER OF SOME COM- 
 MON GASES 30 
 
 XVI. DENSITY OF DRY ATMOSPHERIC AIR AT 760 MM. PRESSURE AND 
 
 TEMPERATURES RANGING FROM TO 35 31 
 
 XVII. APPARENT WEIGHT OF A CUBIC CENTIMETER OF WATER AND THE 
 VOLUME OF AN APPARENT GRAM OF WATER AT TEMPERATURES 
 
 FROM 10 TO 25 34 
 
 XVIII. SPECIFIC VOLUME OF WATER AT TEMPERATURES FROM TO 35 . 35 
 XIX. DENSITY OF WATER AT TEMPERATURES FROM TO 35 ... 36 
 XX. THE PROPORTION BY WEIGHT OF ABSOLUTE ALCOHOL IN 100 PARTS 
 OF SPIRITS OF DIFFERENT SPECIFIC GRAVITIES, AND THE PROPOR- 
 TION BY VOLUME OF ABSOLUTE ALCOHOL IN 100 VOLUMES OF 
 
 SPIRITS OF DIFFERENT SPECIFIC GRAVITIES 37 
 
 vii 
 
viii CONTENTS 
 
 TABLE PAGE 
 
 XXL SPECIFIC GRAVITY OF SOLUTIONS OF AMMONIUM HYDROXIDE . 38 
 
 XXII. SPECIFIC GRAVITY OF SOLUTIONS OF HYDROCHLORIC ACID . . 38 
 
 XXIII. CONSTANT BOILING SOLUTION OF HYDROCHLORIC ACID ... 39 
 
 XXIV. SPECIFIC GRAVITY OF NITRIC ACID 40 
 
 XXV. SPECIFIC GRAVITY OF SULPHURIC ACID 41 
 
 XXVI A~} CORRECTIONS FOR THE EXPOSED THREAD OF MERCURY THER- 
 
 XXVI B) MOMETERS . 43, 44 
 
 XXVII. FIXED POINTS OF THE THERMOMETRIC SCALE 44 
 
 XXVIII. CORRECTIONS FOR Loss OF WEIGHT IN AIR 45 
 
 XXIX. TABLE OF LOGARITHMS TO Six PLACES OF DECIMALS .... 46 
 
 EXPLANATIONS OF THE PRECEDING TABLES 65 
 
 DISCUSSION OF LOGARITHMS AND DIRECTIONS FOR USING THE TABLE 
 
 OF LOGARITHMS . 73 
 
LOGARITHMIC REDUCTION TABLES 
 
TABLE I 
 
 THE ATOMIC WEIGHTS OF THE ELEMENTS AND THEIR LOGARITHMS 
 
 
 Symbol 
 
 Atomic 
 weight 
 
 Logarithm 
 
 Aluminum 
 
 Al 
 
 27.1 
 
 .432 969 
 
 Antimony 
 
 Sb 
 
 119.86 
 
 .078 674 
 
 Argon 
 
 A 
 
 39.9 
 
 .600 973 
 
 Arsenic 
 
 As 
 
 74.95 
 
 .874 772 
 
 I Jarium 
 
 Ba 
 
 137.36 
 
 .137860 
 
 Bismuth 
 
 Bi 
 
 208.0 
 
 .318063 
 
 Boron 
 
 B 
 
 11.0 
 
 .041 393 
 
 Bromine 
 
 Br 
 
 79.909 
 
 .902 596 
 
 Cadmium 
 
 Cd 
 
 112.41 
 
 .050 805 
 
 Caesium 
 
 Cs 
 
 132.80 
 
 .123 198 
 
 Calcium 
 
 Ca 
 
 40.07 
 
 .602 819 
 
 Carbon 
 
 C 
 
 12.00 
 
 .079 181 
 
 Cerium 
 
 Ce 
 
 140.24 
 
 .146 872 
 
 Chlorine 
 
 Cl 
 
 35.454 
 
 .549 665 
 
 Chromium 
 
 Cr 
 
 52.00 
 
 .716003 
 
 Cobalt 
 
 Co 
 
 58.96 
 
 .770 557 
 
 Columbium 
 
 Cb 
 
 93.5 
 
 .970 812 
 
 Copper 
 
 Cu 
 
 63.57 
 
 .803 252 
 
 Dysprosium 
 
 Py 
 
 162.5 
 
 .210853 
 
 Erbium 
 
 Er 
 
 167.4 
 
 .223 755 
 
 Europium 
 
 Eu 
 
 152.0 
 
 .181 844 
 
 Fluorine 
 
 F 
 
 19.0 
 
 .278 754 
 
 Gadolium 
 
 Gd 
 
 157.3 
 
 .196 729 
 
 Gallium 
 
 Ga 
 
 !69.9 
 
 .844 477 
 
 Germanium 
 
 Ge 
 
 72.5 
 
 .860338 
 
 Glucinum 
 
 Gl 
 
 9.1 
 
 .959 041 
 
 Gold 
 
 Au 
 
 197.2 
 
 .294 907 
 
 Helium 
 
 He 
 
 4.0 
 
 .602060 
 
 Hydrogen 
 
 H 
 
 1.0078 
 
 .003 375 
 
 Indium 
 
 In 
 
 114.8 
 
 .059942 
 
 Iodine 
 
 I 
 
 126.91 
 
 .103 496 
 
 Iridium 
 
 Ir 
 
 193.1 
 
 .285 782 
 
 Iron 
 
 Fe 
 
 55.83 
 
 .746 868 
 
 Krypton 
 
 Kr 
 
 81.8 
 
 .912 753 
 
 Lanthanum 
 
 La 
 
 139.0 
 
 .143 015 
 
 Lead 
 
 Pb 
 
 207.07 
 
 .316117 
 
 Lithium 
 
 Li 
 
 6.939 
 
 .841 297 
 
 Lutecium 
 
 Lu 
 
 174.0 
 
 .240 549 
 
 Magnesium 
 
 Mg 
 
 24.32 
 
 .385 964 
 
 Manganese 
 
 Mn 
 
 54.92 
 
 .739 731 
 
 a. 
 
TABLE I (CONTINUED) 
 
 
 Symbol 
 
 Atomic 
 weight 
 
 Logarithm 
 
 Mercury 
 Molybdenum 
 Neodymium 
 Neon 
 
 Hg 
 Mo 
 Nd 
 
 Ne 
 
 200.61 
 96.0 
 144.26 
 20.0 
 
 .302 353 
 .982 271 
 .159 146 
 .301 030 
 
 Nickel 
 
 Ni 
 
 58.67 
 
 .768 416 
 
 Nitrogen 
 Osmium 
 
 N 
 Os 
 
 14.01 
 190.9 
 
 .146438 
 .280 806 
 
 Oxygen 
 Palladium 
 
 
 Pd 
 
 16.000 
 106.7 
 
 .204 120 
 .028 164 
 
 Phosphorus 
 Platinum 
 
 P 
 Pt 
 
 31.03 
 195.0 
 
 .491 782 
 .290035 
 
 Potassium 
 
 K 
 
 39.091 
 
 .592 077 
 
 Praseodymium 
 Kadium 
 
 Pr 
 Ra 
 
 140.6 
 225.95 
 
 .147 985 
 .354012 
 
 Rhodium 
 
 Rh 
 
 102.9 
 
 .002415 
 
 Rubidium 
 
 Rb 
 
 85.44 
 
 .931661 
 
 Ruthenium 
 
 Ru 
 
 101.7 
 
 .007 321 
 
 Samarium 
 
 Sa 
 
 150.4 
 
 .177248 
 
 Scandium 
 
 Sc 
 
 44.1 
 
 .644 439 
 
 Selenium 
 
 Se 
 
 79.2 
 
 .898 725 
 
 Silicon 
 
 Si 
 
 28.3 
 
 .451 786 
 
 Silver 
 Sodium 
 
 Ag 
 
 Na 
 
 107.87 
 22.993 
 
 .032 901 
 .361 595 
 
 Strontium 
 
 Sr 
 
 87.613 
 
 .942 569 
 
 Sulphur 
 Tantalum 
 
 S 
 Ta 
 
 32.07 
 181.5 
 
 .506 099 
 
 .258877 
 
 Tellurium 
 
 Te 
 
 127.5 
 
 .105 510 
 
 Terbium 
 
 Tb 
 
 159.2 
 
 .201 943 
 
 Thallium 
 
 Tl 
 
 204.0 
 
 .309 630 
 
 Thorium 
 
 Th 
 
 232.40 
 
 .366 236 
 
 Thulium 
 
 Tu 
 
 168.5 
 
 .226 600 
 
 Tin 
 
 Sn- 
 
 119.0 
 
 .075 547 
 
 Titanium 
 
 Ti 
 
 48.1 
 
 .682 145 
 
 Tungsten 
 Uranium 
 
 w 
 
 u 
 
 184.0 
 238.40 
 
 .264 818 
 .377 306 
 
 Vanadium 
 
 V 
 
 51.2 
 
 .709 270 
 
 Xenon 
 
 Xe 
 
 128.0 
 
 .107210 
 
 Ytterbium 
 
 Yb 
 
 172.0 
 
 .235 528 
 
 Yttrium 
 
 Y 
 
 89.0 
 
 .949 390 
 
 Zinc 
 
 Zn 
 
 65.36 
 
 .815312 
 
 Zirconium 
 
 Zr 
 
 90.6 
 
 .957 128 
 
TABLE II 
 
 SECOND TO SEVENTH MULTIPLES OF THE ATOMIC WEIGHTS OF 
 COMMON ELEMENTS AND THEIR LOGARITHMS 
 
 
 2 
 
 log 
 
 3 
 
 log 
 
 4 
 
 log 
 
 Aluminum 
 
 54.2 
 
 733 999 
 
 81.3 
 
 910090 
 
 108.4 
 
 035 029 
 
 Antimony 
 
 239.72 
 
 379704 
 
 359.58 
 
 555 796 
 
 479.44 
 
 680 734 
 
 Arsenic 
 
 149.90 
 
 175 802 
 
 224.85 
 
 351 892 
 
 299.80 
 
 476 832 
 
 Barium 
 
 274.72 
 
 438 890 
 
 412.08 
 
 614 982 
 
 549.44 
 
 739 920 
 
 Bismuth 
 
 416.0 
 
 619093 
 
 624.0 
 
 795 185 
 
 832.0 
 
 920 123 
 
 Boron 
 
 22.0 
 
 342 423 
 
 33.0 
 
 518514 
 
 44.0 
 
 643 453 
 
 Bromine 
 
 159.818 
 
 203 626 
 
 239.727 
 
 379 717 
 
 319.636 
 
 504656 
 
 Cadmium 
 
 224.82 
 
 351 835 
 
 337.23 
 
 527 927 
 
 449.64 
 
 652 865 
 
 Calcium 
 
 80.14 
 
 903 849 
 
 120.21 
 
 079 941 
 
 160.28 
 
 204879 
 
 Carbon 
 
 24.00 
 
 380211 
 
 36.00 
 
 556 303 
 
 48.00 
 
 681 241 
 
 Chlorine 
 
 70.908 
 
 850 695 
 
 106.362 
 
 026 787 
 
 141.816 
 
 151 725 
 
 Chromium 
 
 104.00 . 
 
 017033 
 
 156.00 
 
 193 125 
 
 208.00 
 
 318063 
 
 Cobalt 
 
 117.92 
 
 071 588 
 
 176.88 
 
 247 679 
 
 235.84 
 
 372618 
 
 Copper 
 
 127.14 
 
 104 282 
 
 190.71 
 
 280374 
 
 254.28 
 
 405 312 
 
 Fluorine 
 
 38.0 
 
 579784 
 
 57.0 
 
 755 875 
 
 76.0 
 
 880 814 
 
 Gold 
 
 394.4 
 
 595 937 
 
 591.6 
 
 772 028 
 
 788.8 
 
 896 967 
 
 Hydrogen 
 
 2.0156 
 
 304 405 
 
 3.0234 
 
 480 496 
 
 4.0312 
 
 605 434 
 
 Iodine 
 
 253.82 
 
 404 526 
 
 380.73 
 
 580617 
 
 507.64 
 
 705 556 
 
 Iron 
 
 111.66 
 
 047 898 
 
 167.49 
 
 223 989 
 
 223.32 
 
 348 928 
 
 Lead 
 
 414.14 
 
 617 147 
 
 621.21 
 
 793 238 
 
 828.28 
 
 918177 
 
 Lithium 
 
 13.878 
 
 142 327 
 
 20.817 
 
 318418 
 
 27.756 
 
 443 357 
 
 Magnesium 
 
 48.64 
 
 686994 
 
 72.96 
 
 863 085 
 
 97.28 
 
 988024 
 
 Manganese 
 
 109.84 
 
 040 760 
 
 164.76 
 
 216852 
 
 219.68 
 
 341 790 
 
 Mercury 
 
 401.22 
 
 603 383 
 
 601.83 
 
 779 474 
 
 802.44 
 
 904413 
 
 Molybdenum 
 
 192.0 
 
 283 301 
 
 288.0 
 
 459 392 
 
 384.0 
 
 584331 
 
 Nickel 
 
 117.34 
 
 069 446 
 
 176.01 
 
 245 537 
 
 234.68 
 
 370476 
 
 Nitrogen 
 
 28.02 
 
 447 468 
 
 42.03 
 
 623 559 
 
 56.04 
 
 748498 
 
 Oxygen 
 
 32.000 
 
 505 150 
 
 48.000 
 
 681 241 
 
 64.000 
 
 806 181 
 
 Phosphorus 
 
 62.06 
 
 792 812 
 
 93.09 
 
 968903 
 
 124.12 
 
 093 842 
 
 Platinum 
 
 390.0 
 
 591 065 
 
 585.0 
 
 767 156 
 
 780.0 
 
 892 095 
 
 Potassium 
 
 78.182 
 
 893 107 
 
 117.273 
 
 069 198 
 
 156.364 
 
 194 137 
 
 Silicon 
 
 56.6 
 
 752 816 
 
 84.9 
 
 928 908 
 
 113.2 
 
 053 846 
 
 Silver 
 
 215.74 
 
 333 930 
 
 323.61 
 
 510022 
 
 431.48 
 
 634 961 
 
 Sodium 
 
 45.986 
 
 662 626 
 
 68.979 
 
 838717 
 
 91.972 
 
 963 655 
 
 Strontium 
 
 175.226 
 
 243 598 
 
 262.839 
 
 419 690 
 
 350.452 
 
 544 628 
 
 Sulphur 
 
 64.14 
 
 807 129 
 
 96.21 
 
 983 220 
 
 128.28 
 
 108 159 
 
 Tin 
 
 238.0 
 
 376577 
 
 357.0 
 
 552 668 
 
 476.0 
 
 677 607 
 
 Titanium 
 
 96.2 
 
 983 175 
 
 144.3 
 
 159 266 
 
 192.4 
 
 284 205 
 
 Tungsten 
 
 368.0 
 
 565 848 
 
 552.0 
 
 741 939 
 
 736.0 
 
 866 878 
 
 Uranium 
 
 476.8 
 
 678 336 
 
 715.2 
 
 854 428 
 
 953.6 
 
 979 366 
 
 Zinc 
 
 130.72 
 
 116343 
 
 19608 
 
 292 433 
 
 261.44 
 
 417372 
 
TABLE II (COXTIXUED) 
 
 
 5 
 
 log 
 
 6 
 
 log 
 
 7 
 
 log 
 
 Aluminum 
 
 135.5 
 
 131 939 
 
 162.6 
 
 211 121 
 
 189.7 
 
 278 067 
 
 Antimony 
 
 599.30 
 
 777 644 
 
 719.16 
 
 856 826 
 
 839.02 
 
 923 772 
 
 Arsenic 
 
 374.75 
 
 573 742 
 
 449.70 
 
 652 923 
 
 524.65 
 
 719 869 
 
 Barium 
 
 686.80 
 
 836 830 
 
 824.16 
 
 916012 
 
 961.52 
 
 982 958 
 
 Bismuth 
 
 1040.0 
 
 017033 
 
 -1248.0 
 
 096 215 
 
 1456.0 
 
 163 161 
 
 Boron 
 
 55.0 
 
 740 363 
 
 66.0 
 
 819 544 
 
 77.0 
 
 886491 
 
 Bromine 
 
 399.545 
 
 601566 
 
 479.454 
 
 680 747 
 
 559.363 
 
 747 694 
 
 Cadmium 
 
 562.05 
 
 749 775 
 
 674.46 
 
 828 956 
 
 786.87 
 
 895 903 
 
 Calcium 
 
 200.35 
 
 301 789 
 
 240.42 
 
 380971 
 
 280.49 
 
 447 917 
 
 Carbon 
 
 60.00 
 
 778151 
 
 72.00 
 
 857333 
 
 84.00 
 
 924 279 
 
 Chlorine 
 
 177.270 
 
 248 635 
 
 212.724 
 
 327816 
 
 248.178 
 
 394 763 
 
 Chromium 
 
 260.00 
 
 414973 
 
 312.00 
 
 494 155 
 
 364.00 
 
 561 101 
 
 Cobalt 
 
 294.80 
 
 469 528 
 
 353.76 
 
 548 709 
 
 412.72 
 
 615 656 
 
 Copper 
 
 317.85 
 
 502 222 
 
 381.42 
 
 581 404 
 
 444.99 
 
 648 350 
 
 Fluorine 
 
 95.0 
 
 977 724 
 
 114.0 
 
 056 905 
 
 133.0 
 
 123 852 
 
 Gold 
 
 986.0 
 
 993 877 
 
 1183.2 
 
 073 058 
 
 1380.4 
 
 140 005 
 
 Hydrogen 
 
 5.0390 
 
 702 344 
 
 6.0468 
 
 781 526 
 
 7.0546 
 
 848 472 
 
 Iodine 
 
 634.55 
 
 802 466 
 
 761.46 
 
 881 647 
 
 888.37 
 
 948 594 
 
 Iron 
 
 279.15 
 
 445 838 
 
 334.98 
 
 525 019 
 
 390.81 
 
 591 966 
 
 Lead 
 
 1035.35 
 
 015 087 
 
 1242.42 
 
 094 269 
 
 1449.49 
 
 161 215 
 
 Lithium 
 
 34.695 
 
 540 267 
 
 41.634 
 
 619 448 
 
 48.573 
 
 686 395 
 
 Magnesium 
 
 ] 21.60 
 
 084 934 
 
 145.92 
 
 164 115 
 
 170.24 
 
 231 062 
 
 Manganese 
 
 274.60 
 
 438 701 
 
 329.52 
 
 517881 
 
 384.44 
 
 584 828 
 
 Mercury 
 
 1003.05 
 
 001323 
 
 1203.66 
 
 080 504 
 
 1404.27 
 
 147451 
 
 Molybdenum 
 
 480.0 
 
 681 241 
 
 576.0 
 
 760 422 
 
 672.0 
 
 827369 
 
 Nickel 
 
 293.35 
 
 467 386 
 
 352.02 
 
 546 567 
 
 410.69 
 
 613514 
 
 Nitrogen 
 
 70.05 
 
 845 408 
 
 84.06 
 
 924589 
 
 98.07 
 
 991 536 
 
 Oxygen 
 
 80.000 
 
 903090 
 
 96.000 
 
 982 271 
 
 112.000 
 
 049 218 
 
 Phosphorus 
 
 155.15 
 
 190 752 
 
 186.18 
 
 269 933 
 
 217.21 
 
 336 880 
 
 Platinum 
 
 975.0 
 
 989 005 
 
 1170.0 
 
 068 186 
 
 1365.0 
 
 135 133 
 
 Potassium 
 
 195.455 
 
 291 047 
 
 234.546 
 
 370 228 
 
 273.637 
 
 437 175 
 
 Silicon 
 
 141.5 
 
 150 756 
 
 169.8 
 
 229 938 
 
 198.1 
 
 296 884 
 
 Silver 
 
 539.35 
 
 731 870 
 
 647.22 
 
 811052 
 
 755.09 
 
 877 998 
 
 Sodium 
 
 114.965 
 
 060 566 
 
 137.958 
 
 139 747 
 
 160.951 
 
 206 694 
 
 Strontium 
 
 438.065 
 
 641 538 
 
 525.678 
 
 720 720 
 
 613.291 
 
 787 667 
 
 Sulphur 
 
 160.35 
 
 205 069 
 
 192.42 
 
 284-250 
 
 224.49 
 
 351 197 
 
 Tin 
 
 595.0 
 
 774517 
 
 714.0 
 
 853 698 
 
 833.0 
 
 920 645 
 
 Titanium 
 
 240.5 
 
 381 115 
 
 288.6 
 
 460296 
 
 336.7 
 
 527 243 
 
 Tungsten 
 
 920.0 
 
 963 788 
 
 1104.0 
 
 042 969 
 
 1288.0 
 
 109 916 
 
 Uranium 
 
 1192.0 
 
 076 276 
 
 1430.4 
 
 155457 
 
 1668.8 
 
 222 404 
 
 Zinc 
 
 326.80 
 
 514282 
 
 392.16 
 
 593 463 
 
 457.52 
 
 660 410 
 
TABLE III 
 
 MOLECULAR WEIGHTS OF COMMON COMPOUNDS AND THEIR LOGARITHMS 
 
 
 Mol.wt. 
 
 log 
 
 
 Mol. wt. 
 
 log 
 
 AgBr 
 
 187.779 
 
 273 647 
 
 Cr0 3 
 
 100.00 
 
 000 000 
 
 AgCN 
 
 133.88 
 
 126 716 
 
 Cr0 4 
 
 116.00 
 
 064 458 
 
 AgCl 
 
 143.324 
 
 156319 
 
 Cu 2 
 
 143.14 
 
 155 761 
 
 Agl 
 
 234.78 
 
 370661 
 
 CuO 
 
 79.57 
 
 900 749 
 
 As"NO 
 
 169.88 
 
 230 142 
 
 Cu 2 S 
 
 159.21 
 
 201 970 
 
 A1 2 0, 3 
 
 102.2 
 
 009451 
 
 CuS 
 
 95.64 
 
 980 640 
 
 A1 2 (S0 4 ) 3 .18H 2 
 
 666.69 
 
 823 924 
 
 CuS0 4 
 
 159.64 
 
 203 142 
 
 AsA 
 
 197.90 
 
 296446 
 
 CuS0 4 -5H 2 
 
 249.72 
 
 397 453 
 
 AsO 
 
 229.90 
 
 361 539 
 
 FeC0 3 
 
 115.83 
 
 063 821 
 
 2 5 
 
 As0 3 
 
 122.95 
 
 089 729 
 
 FeCl 2 .4H 2 
 
 198.80 
 
 298416 
 
 As0 4 
 
 138.95 
 
 142 859 
 
 FeCL 
 
 162.19 
 
 210 024 
 
 As 2 S 3 
 
 246.11 
 
 391 130 
 
 FeO 
 
 71.83 
 
 856 306 
 
 As/ 6 
 
 310.25 
 
 491 712 
 
 Fe 2 0_ 
 
 159.66 
 
 203 196 
 
 BA 1 
 
 70.0 
 
 845 098 
 
 FeP0 4 
 
 150.86 
 
 178574 
 
 BaC0 3 
 
 197.36 
 
 295 259 
 
 FeS 
 
 87.90 
 
 943 939 
 
 BaCL 
 
 208.27 
 
 318627 
 
 FeS0 4 
 
 151.90 
 
 181 558 
 
 BaCl 2 -2H 2 
 
 244.30 
 
 387 923 
 
 FeS0 4 -7H 2 
 
 278.01 
 
 444060 
 
 BaCr0 4 
 
 253.36 
 
 403 738 
 
 HBO, 
 
 62.0 
 
 792 392 
 
 Ba(N0 3 ) 2 
 
 261.38 
 
 417273 
 
 HBr 
 
 80.917 
 
 908 040 
 
 BaO 
 
 153.36 
 
 185 712 
 
 HCH0 2 
 
 46.02 
 
 662947 
 
 Ba(OH) 2 8 H 2 
 
 315.50 
 
 498999 
 
 HC 2 H 3 2 
 
 60.03 
 
 778 368 
 
 BaS0 4 
 
 233.43 
 
 368 157 
 
 H,C,0 4 
 
 90.02 
 
 954 339 
 
 BaSiF 6 
 
 279.66 
 
 446630 
 
 H 2 C 2 4 -2H 2 
 
 126.05 
 
 100543 
 
 BjA 
 
 464.0 
 
 666518 
 
 H 2 C 4 H 4 6 
 
 150.05 
 
 176236 
 
 BLS 
 
 512.2 
 
 709 440 
 
 H 3 C 6 H 5 T .H 2 
 
 210.08 
 
 322 323 
 
 cd, 
 
 44.00 
 
 643 453 
 
 HC1 
 
 36.462 
 
 561 840 
 
 C. 7 
 
 88.00 
 
 944 483 
 
 HC10 4 
 
 100.462 
 
 002 002 
 
 3 
 
 60.00 
 
 778151 
 
 H s CrA 
 
 218.02 
 
 338 496 
 
 CaC0 8 
 
 100.07 
 
 000304 
 
 H 2 00 4 
 
 118.02 
 
 071 956 
 
 CaCl 2 
 
 110.98 
 
 045245 
 
 HF 
 
 20.0 
 
 301 030 
 
 CaCL.6H a O 
 
 219.07 
 
 340 583 
 
 HI 
 
 127.918 
 
 106932 
 
 CaO 
 
 56.07 
 
 748731 
 
 HNO 
 
 63.02 
 
 799478 
 
 CaS0 4 
 
 136.14 
 
 133 986 
 
 H 2 3 
 
 18.0156 
 
 255649 
 
 CaS0 4 2 H 2 
 
 172.17 
 
 235 958 
 
 H 
 
 34.0156 
 
 531 678 
 
 CdO 
 
 128.41 
 
 108599 
 
 H PO 
 
 98.05 
 
 991 448 
 
 CdS 
 
 144.48 
 
 159 808 
 
 H 2 Pt(Jl 6 
 
 409.7 
 
 612 466 
 
 CdS0 4 
 
 208.48 
 
 319064 
 
 H 2 S 
 
 34.09 
 
 532 627 
 
 CoO 
 
 74.96 
 
 874 830 
 
 H 2 S0 3 
 
 82.09 
 
 914290 
 
 CoS0 4 
 
 155.03 
 
 190416 
 
 H 2 S0 4 
 
 98.09 
 
 991 625 
 
 CoS0 4 7 H 2 
 
 281.14 
 
 448 923 
 
 Hg 2 Cl 2 
 
 472.13 
 
 674 062 
 
 Cr A 
 
 152.00 
 
 181 844 
 
 HgCl 2 
 
 271.52 
 
 433 802 
 
TABLE III (CONTINUED) 
 
 
 Mol.wt. 
 
 log 
 
 
 Mol.wt. 
 
 log 
 
 KA1(S0 4 ) 2 -12H 2 
 KA1SLO, 
 KBr 
 
 474.5 
 279.1 
 119.000 
 
 676 236 
 
 445 760 
 075 547 
 
 NH 4 C1 
 
 (NH 4 ) 2 Fe(S0 4 ) 2 -6HO 
 NH 4 Fe(S0 4 ) 2 .12H 2 
 
 53.50 
 392.14 
 482.19 
 
 728 354 
 593 441 
 683 218 
 
 KCN 
 
 65.10 
 
 813 581 
 
 NHOH 
 
 35.05 
 
 544 688 
 
 
 138.13 
 74.545 
 
 140 288 
 
 872 419 
 
 (NH 4 ) 3 P0 4 (Mo0 3 ) 12 
 (NH 4 ) 2 PtCl 6 
 
 1877.2 
 443.8 
 
 273511 
 647187 
 
 KC10 3 
 
 122.545 
 
 088 296 
 
 (NH 4 ) 2 S0 4 
 
 132.15 
 
 121067 
 
 KC10 4 
 
 138.545 
 
 141 591 
 
 NaAlSi 3 8 
 
 263.0 
 
 419 956 
 
 K Co(NO ) 
 
 452.29 
 
 655417 
 
 Na B 
 
 202.0 
 
 305 351 
 
 K 2 Cr0 4 
 
 194.18 
 
 288 205 
 
 Na 2 BX-10H 2 
 
 382.1 
 
 582 177 
 
 K 2 Cr 2 O. 
 
 294.18 
 
 468 613 
 
 NaBr 7 
 
 102.902 
 
 012 424 
 
 KCr(S0 4 ) 2 -12H 2 
 
 K 3 Fe(CN) 6 
 
 499.42 
 329.15 
 
 698466 
 517394 
 
 NaC 2 H 3 2 .3H 2 
 
 Na 2 C0 3 
 
 136.06 
 105.99 
 
 133 730 
 025 265 
 
 K 4 Fe(CN) 6 
 
 368.24 
 
 566131 
 
 Na 2 C0 3 -10H 2 
 
 286.14 
 
 456579 
 
 KI 
 
 166.001 
 
 220111 
 
 NaCl 
 
 58.447 
 
 766 762 
 
 KI0 3 
 
 214.001 
 
 330416 
 
 Na 2 O 2 7 2 H 2 
 
 298.02 
 
 474 245 
 
 KMn0 4 
 
 158.01 
 
 198 685 
 
 NaHCO 
 
 84.00 
 
 924 279 
 
 KNO 
 
 85.10 
 
 929 930 
 
 Na 9 HP0 4 .12H 2 
 
 358.24 
 
 554 174 
 
 KN0 3 
 
 101.10 
 
 004751 
 
 NaHSO 4 
 
 120.07 
 
 079 435 
 
 KNaC 4 H 4 6 -4H 2 
 
 282.18 
 
 450 526 
 
 NaNO 
 
 69.00 
 
 838 849 
 
 K 2 
 
 94.182 
 
 973 968 
 
 NaN0 3 
 
 85.00 
 
 929 419 
 
 KOH 
 
 56.099 
 
 748 955 
 
 3 
 
 61.986 
 
 792 294 
 
 K 2 PtCl 6 
 K 2 S0 4 
 
 485.9 
 174.25 
 
 686 547 
 241 173 
 
 Na 2 2 
 NaOH 
 
 77.986 
 40.00 
 
 892017 
 602060 
 
 MgC0 3 
 
 84.32 
 
 925 931 
 
 Na 2 S 2 -5H 2 
 
 248.20 
 
 394 802 
 
 MgCl 2 .6H 2 
 
 203.32 
 
 308 180 
 
 Na 2 S0 3 .7H 2 
 
 252.17 
 
 401 693 
 
 MgO 
 
 40.32 
 
 605 521 
 
 Na 2 S0 4 
 
 142.06 
 
 152472 
 
 Mg P 
 
 222.70 
 
 347 720 
 
 Na 2 S0 4 .10H 2 
 
 322.21 
 
 508 139 
 
 M g sd 4 7 
 
 120.39 
 
 080590 
 
 u 2 4 2 
 
 74.67 
 
 873 146 
 
 MgS0 4 -7H 2 
 
 246.50 
 
 391 817 
 
 NiS0 4 
 
 154.74 
 
 189 603 
 
 MnC0 3 
 
 114.92 
 
 060 396 
 
 NiS0 4 -7H 2 
 
 280.85 
 
 448 474 
 
 MnO 
 
 70.92 
 
 850 769 
 
 N0 3 
 
 62.01 
 
 792 462 
 
 Mn 2 3 
 
 157.84 
 
 198 217 
 
 PCL 
 
 137.39 
 
 137955 
 
 Mn 3 4 
 
 228.76 
 
 359 380 
 
 PBr 3 
 
 270.76 
 
 432 585 
 
 Mn0 2 
 
 86.92 
 
 939 120 
 
 P 28 
 
 110.06 
 
 041630 
 
 M n ^ 7 
 
 MnS 
 
 283.90 
 86.99 
 
 453 165 
 939 469 
 
 2 o 
 
 ?K 
 
 142.06 
 95.03 
 
 152472 
 977 861 
 
 MnS0 4 
 
 150.99 
 
 178948 
 
 PbC0 3 
 
 267.07 
 
 426 625 
 
 MnS0 4 -4H 2 
 
 223.05 
 
 348 402 
 
 PbCl 2 
 
 277.98 
 
 444014 
 
 NH 
 
 17.03 
 
 231215 
 
 PbCr0 4 
 
 323.07 
 
 509 297 
 
 NH 
 
 18.04 
 
 256 237 
 
 Pb(N0 3 ) 2 
 
 331.09 
 
 519946 
 
 (NH 4 ) 2 C 2 4 .H 2 
 
 142.10 
 
 152 594 
 
 PbO 
 
 223.07 
 
 348441 
 
TABLE III (CONTINUED) 
 
 
 Mol.wt. 
 
 log 
 
 
 Mol.wt. 
 
 log 
 
 PbS 
 
 239.14 
 
 378652 
 
 SnO 
 
 135.0 
 
 130334 
 
 PbSO, 
 
 303.14 
 
 481 643 
 
 Sn0 2 
 
 151.0 
 
 178977 
 
 PtCl. 
 
 336.8 
 
 527372 
 
 SrCO 
 
 147.61 
 
 169 116 
 
 S0 2 
 
 64.07 
 
 806655 
 
 Sr(NO) 
 
 211.63 
 
 325 577 
 
 S0 3 
 
 80.07 
 
 903 470 
 
 SrO 
 
 103.613 
 
 015 414 
 
 S0 4 
 
 96.07 
 
 982 588 
 
 Sr(OH) 2 -8H 2 
 
 265.754 
 
 424 480 
 
 Si0 2 
 
 60.3 
 
 780317 
 
 SrS0 4 
 
 183.68 
 
 264 062 
 
 Si0 3 
 
 76.3 
 
 882 525 
 
 ZnCd 
 
 125.36 
 
 098 159 
 
 SiO. 
 
 92.3 
 
 965 202 
 
 ZnO 
 
 81.36 
 
 910411 
 
 SnCl 2 
 
 189.9 
 
 278 525 
 
 ZnS 
 
 97.43 
 
 988693 
 
 SnCl 2 -2H,0 
 
 225.9 
 
 353916 
 
 ZnS0 4 7 H 2 
 
 287.54 
 
 458 698 
 
 SnCl 4 
 
 260.8 
 
 416 308 
 
 
 
 
10 
 
 TABLE IV 
 
 SECOND TO FIFTH MULTIPLES OF THE MOLECULAR WEIGHTS OF SOME 
 
 COMMON COMPOUNDS AND OF THE WEIGHTS OF A FEW RADICALS 
 
 TOGETHER WITH THEIR LOGARITHMS 
 
 
 2 
 
 log 
 
 3 
 
 log 
 
 4 
 
 log 
 
 5 
 
 log 
 
 AgBr 
 
 375.558 
 
 574677 
 
 563.337 
 
 750 768 
 
 751.116 
 
 875 707 
 
 938.895 
 
 972617 
 
 AgCl 
 
 286.648 
 
 457349 
 
 429.972 
 
 633 440 
 
 573.296 
 
 758379 
 
 716.620 
 
 855 289 
 
 Agl 
 
 469.56 
 
 671 691 
 
 704.34 
 
 847 782 
 
 939.12 
 
 922 721 
 
 1173.90 
 
 069631 
 
 A10 
 
 204.4 
 
 310481 
 
 306.6 
 
 486572 
 
 408.8 
 
 611511 
 
 511.0 
 
 708421 
 
 Ba(OH) 2 
 
 342.75 
 
 534977 
 
 514.13 
 
 711073 
 
 685.50 
 
 836007 
 
 856.88 
 
 932920 
 
 Ba(OH) 2 .8H 2 
 
 631.00 
 
 800029 
 
 946.50 
 
 976 121 
 
 1262.00 
 
 101059 
 
 1577.5 
 
 197 969 
 
 C0 2 
 
 88.00 
 
 944483 
 
 132.00 
 
 120574 
 
 176.00 
 
 245 513 
 
 220.00 
 
 342 423 
 
 CO 
 
 120.00 
 
 079181 
 
 180.00 
 
 255 273 
 
 240.00 
 
 380211 
 
 300.00 
 
 477121 
 
 CaO 
 
 112.14 
 
 049 761 
 
 168.21 
 
 225 852 
 
 224.28 
 
 350 791 
 
 280.35 
 
 447 701 
 
 Cr 
 
 304.00 
 
 482 874 
 
 456.00 
 
 658965 
 
 608.00 
 
 783904 
 
 760.00 
 
 880814 
 
 Cub 3 
 
 159.14 
 
 201 779 
 
 238.71 
 
 377871 
 
 318.28 
 
 502 809 
 
 397.85 
 
 599 719 
 
 FeO 
 
 143.64 
 
 157275 
 
 215.46 
 
 333 367 
 
 287.28 
 
 458305 
 
 359.10 
 
 555215 
 
 Fe 2 3 
 
 319.28 
 
 504172 
 
 478.92 
 
 680263 
 
 638.56 
 
 805 202 
 
 798.20 
 
 902112 
 
 HCHO 
 
 92.03 
 
 963 929 
 
 138.05 
 
 140036 
 
 184.06 
 
 264959 
 
 230.10 
 
 361917 
 
 HC H 
 
 120.06 
 
 079398 
 
 180.09 
 
 255 490 
 
 240.13 
 
 380446 
 
 300.15 
 
 477338 
 
 H C 
 
 180.03 
 
 255 345 
 
 270.05 
 
 431 444 
 
 360.06 
 
 556375 
 
 450.10 
 
 653 309 
 
 H 2 C 2 4 -2H 2 
 
 252.09 
 
 401556 
 
 378.14 
 
 577653 
 
 504.19 
 
 702 594 
 
 630.25 
 
 799513 
 
 H C H 
 
 300.09 
 
 477251 
 
 450.14 
 
 653348 
 
 600.19 
 
 778 289 
 
 750.25 
 
 875 206 
 
 H 3 C 6 H 5 7 -H 2 
 
 420.16 
 
 623415 
 
 630.23 
 
 799499 
 
 840.31 
 
 924 440 
 
 1050.2 
 
 021 293 
 
 HC1 
 
 72.924 
 
 862 870 
 
 109.385 
 
 038958 
 
 145.847 
 
 163 898 
 
 182.31 
 
 260810 
 
 HNO 
 
 126.04 
 
 100 508 
 
 189.05 
 
 276577 
 
 252.07 
 
 401 521 
 
 315.10 
 
 498 448 
 
 H 2 
 
 36.0312 
 
 556700 
 
 54.0468 
 
 732 828 
 
 72.0614 
 
 857 724 
 
 90.0780 
 
 954619 
 
 H 2 S0 4 
 
 196.17 
 
 292 633 
 
 294.26 
 
 468 731 
 
 392.34 
 
 593 663 
 
 490.45 
 
 690 595 
 
 K 2 
 
 188.364 
 
 274998 
 
 282.546 
 
 451089 
 
 376.728 
 
 576028 
 
 470.910 
 
 672938 
 
 KOH 
 
 112.198 
 
 049985 
 
 168.296 
 
 226074 
 
 224.395 
 
 351013 
 
 280.49 
 
 447925 
 
 MgO 
 
 80.64 
 
 906551 
 
 120.96 
 
 082 642 
 
 161.28 
 
 207 581 
 
 201.60 
 
 304491 
 
 NH 3 
 
 34.07 
 
 532372 
 
 51.10 
 
 708421 
 
 68.13 
 
 833 338 
 
 85.15 
 
 930 185 
 
 NH 4 
 
 36.08 
 
 557267 
 
 54.12 
 
 733 358 
 
 72.16 
 
 858297 
 
 92.30 
 
 965 207 
 
 NH 4 OH 
 
 70.1 
 
 845 718 
 
 105.15 
 
 021 809 
 
 140.20 
 
 146 748 
 
 175.25 
 
 243 658 
 
 N0 3 
 
 124.02 
 
 093 492 
 
 186.03 
 
 269583 
 
 248.04 
 
 394 522 
 
 310.05 
 
 491 432 
 
 Na 2 C0 8 
 
 211.97 
 
 326274 
 
 317.96 
 
 502372 
 
 423.94 
 
 627304 
 
 529.95 
 
 724 235 
 
 NaOH 
 
 80.002 
 
 903100 
 
 120.002 
 
 079 188 
 
 160.003 
 
 204 128 
 
 200.00 
 
 301 030 
 
 OH 
 
 34.0156 
 
 531 678 
 
 51.0234 
 
 707 769 
 
 68.0312 
 
 832 708 
 
 85.039 
 
 929618 
 
 p o 4 
 
 190.06 
 
 278 891 
 
 285.09 
 
 454982 
 
 380.12 
 
 579921 
 
 475.15 
 
 676831 
 
 -P 9 O, 
 
 284.12 
 
 453 502 
 
 426.18 
 
 629 593 
 
 568.24 
 
 754 532 
 
 710.30 
 
 851442 
 
 s6 2 5 
 
 128.14 
 
 107685 
 
 192.21 
 
 283 776 
 
 256.28 
 
 408715 
 
 320.35 
 
 505 625 
 
 S0 3 
 
 160.14 
 
 204 500 
 
 240.21 
 
 380 591 
 
 320.28 
 
 505 530 
 
 400.35 
 
 602 440 
 
 S0 4 
 
 192.14 
 
 283 618 
 
 288.21 
 
 459 709 
 
 384.28 
 
 584 648 
 
 480.35 
 
 681 558 
 
 Si0 2 
 
 120.6 
 
 081 347 
 
 180.9 
 
 257439 
 
 241.2 
 
 382377 
 
 301.5 
 
 479 287 
 
 Si0 3 
 
 152.6 
 
 183 555 
 
 228.9 
 
 359646 
 
 305.2 
 
 484585 
 
 381.5 
 
 581 495 
 
 SiO 
 
 184.6 
 
 266232 
 
 276.9 
 
 442 323 
 
 369.2 
 
 567 262 
 
 461.5 ' 
 
 664172 
 
TABLE V 
 
 11 
 
 REDUCTION OF COMPOUNDS FOUND TO CONSTITUENTS SOUGHT 
 BY MULTIPLICATION 
 
 Sought 
 
 Found 
 
 Factor 
 
 log 
 
 Ag 
 
 AgBr 
 
 .57445 
 
 759 254 
 
 
 AgCl 
 
 .75 263 
 
 876 582 
 
 Al 
 
 Al 
 
 .53 033 
 
 724 548 
 
 As 
 
 As,o' 
 
 .75 745 
 
 879 356 
 
 
 AsX 
 
 .65 202 
 
 814 263 
 
 
 As A 
 
 .60908 
 
 784 672 
 
 
 AsS. 
 
 .48316 
 
 684 090 
 
 
 MgNH.AsO..H,0 
 
 Mg 2 As 2 7 
 
 .37601 
 .48 270 
 
 575 200 
 683 684 
 
 As 2 3 
 
 As 2 6 
 
 .86081 
 
 934 907 
 
 
 As 2 S 3 
 
 .80411 
 
 905316 
 
 
 -A-S j^r 
 
 .63 787 
 
 804734 
 
 
 MgNH.AsO -H 2 
 
 .49 641 
 
 695 844 
 
 As 2 5 
 
 Mg 2 As 2 7 
 
 As 2 S 3 
 
 .63 728 
 .93 413 
 
 804 328 
 970 409 
 
 As0 3 
 
 As 2 S 3 
 
 .99914 
 
 999629 
 
 AsO 
 
 AsS 
 
 1.12917 
 
 052 759 
 
 Ba 
 
 BaO 8 
 
 .89 568 
 
 952 148 
 
 
 BaC0 3 
 BaCr0 4 
 
 .69 599 
 .54213 
 
 842 601 
 734 103 
 
 
 BaSO. 
 BaSiF 6 
 
 .58 844 
 .49117 
 
 769 703 
 691 230 
 
 BaO 
 
 BaC0 3 
 
 .77 706 
 
 890453 
 
 
 BaSO, 
 
 .65 698 
 
 817555 
 
 Bi 
 
 WA 
 
 .89 655 
 
 952 575 
 
 
 Bi 2 S 3 
 
 .81217 
 
 909645 
 
 B 
 
 
 .31 428 
 
 497 325 
 
 
 KBF 
 
 .08 723 
 
 940 666 
 
 Br 
 
 AgBr 
 
 .42 555 
 
 628 949 
 
 C 
 
 CaCO. 
 
 .27 273 
 .43 969 
 
 435 728 
 643 149 
 
 
 CaO 
 
 .78473 
 
 894 722 
 
 
 MgO 
 
 1.09 127 
 
 037 932 
 
 C 3 
 
 Ca 
 
 CO 
 CaCO 3 
 
 1.36363 
 .40 042 
 
 134698 
 602515 
 
 
 CaO 
 
 .71 464 
 
 854088 
 
 
 CaS0 4 
 
 .29 433 
 
 468 833 
 
 CaC0 3 
 
 CaO 
 
 1.78473 
 
 251 573 
 
 
 CaSO. 
 
 .73 505 
 
 866318 
 
 CaO 
 
 C0 2 
 
 1.27432 
 
 105 278 
 
12 
 
 TABLE V (CONTINUED) 
 
 Sought 
 
 Found 
 
 Factor 
 
 log 
 
 CaO 
 
 CaC0 3 
 
 .56031 
 
 748 427 
 
 
 CaSO, 
 
 .41 186 
 
 614 745 
 
 Cd 
 
 CdO 
 
 .87 540 
 
 942 206 
 
 
 CdS 
 
 .77 803 
 
 890 997 
 
 
 CdSO, 
 
 .53919 
 
 731 741 
 
 CdO 
 
 CdS 
 
 .88 877 
 
 948 791 
 
 
 CdS0 4 
 
 .61 593 
 
 789 535 
 
 Cl 
 
 Ag 
 
 .32 867 
 
 516764 
 
 Cl 
 
 AgCl 
 
 .24 737 
 
 393 346 
 
 Co 
 
 CoO 
 
 .78 655 
 
 895 727 
 
 
 CoS0 4 
 
 .38031 
 
 580 141 
 
 
 2CoS0 4 -3K 2 S0 4 
 
 .14159 
 
 151041 
 
 
 2CoK (NO.) -3H 2 
 
 .12300 
 
 089 922 
 
 CoO 
 
 Co 
 
 1.27137 
 
 104273 
 
 
 CoS0 4 
 
 .48 352 
 
 684 414 
 
 
 2CoS0 4 -3K 2 S0 4 
 
 2CoS0 4 K 3 (N0 2 ) 6 -3H 2 
 
 .18002 
 .15 638 
 
 255 314 
 194 195 
 
 Cr 
 
 BaCr0 4 
 
 .20 524 
 
 312 265 
 
 
 Cr () 
 
 .68421 
 
 835 189 
 
 
 PbCr0 4 
 
 .16096 
 
 206 706 
 
 Cr 
 
 BaCr0 4 
 
 .29 997 
 
 477076 
 
 
 PbCr0 4 
 
 .23 524 
 
 371517 
 
 Cr0 3 
 
 BaCrO, 
 
 .39 470 
 
 596 262 
 
 
 Cr 2 3 
 
 1.31 579 
 
 119186 
 
 
 PbCi0 4 
 
 .30 953 
 
 490 703 
 
 Cr0 4 
 
 BaCrO, 
 
 .45 784 
 
 660 710 
 
 
 Cr 
 
 1.52631 
 
 183 644 
 
 
 PbCrO, 
 
 .35 905 
 
 555 161 
 
 Cu 
 
 CuO 
 
 .79 892 
 
 902 503 
 
 
 CuS 
 
 .79857 
 
 902312 
 
 CuO 
 
 Cu 
 
 1.25 169 
 
 097 497 
 
 
 Cu 2 S 
 
 .99 956 
 
 999 809 
 
 F 
 
 CaF 2 
 
 .48 662 
 
 687 189 
 
 
 SiF 4 
 
 .72 866 
 
 862 530 
 
 Fe 
 
 FeA" 
 
 .69 932 
 
 844 678 
 
 
 FeS 3 
 
 .63511 
 
 802 851 
 
 FeO 
 
 Fe 
 
 1.28663 
 
 109 455 
 
 
 FeA 
 
 .89 977 
 
 954 133 
 
 Fe 
 
 Fe 
 
 1.42995 
 
 155 322 
 
 H 2 
 
 H 2 
 
 .11 188 
 
 048 756 
 
 HBr 
 
 AgBr 
 
 .43 092 
 
 634 393 
 
 HC1 
 
 AgCl 
 
 .25 440 
 
 405 521 
 
TABLE V (CONTINUED) 
 
 13 
 
 Sought 
 
 Found 
 
 Factor 
 
 log 
 
 HI 
 
 Agl 
 
 .54 484 
 
 736 271 
 
 HKO 
 
 NH 4 C1 
 
 1.17794 
 
 071 124 
 
 
 (NH 4 ) 2 PtCl 6 
 
 .28 400 
 
 453 321 
 
 
 Pt 
 
 .64 635 
 
 810 473 
 
 H 2 S0 4 
 
 BaS0 4 
 Hg. 2 Cl 2 
 HgS 
 
 .42 021 
 .84 981 
 .86217 
 
 623 468 
 929 321 
 935 594 
 
 Hg 2 
 
 Hg 
 
 1.03 988 
 
 016 982 
 
 HgO 
 
 Hg 
 
 1.07 976 
 
 033 326 
 
 I 
 
 Agl 
 
 .54 055 
 
 732 835 
 
 
 PdI 2 
 
 .70 408 
 
 847621 
 
 K 
 
 KC1 
 
 .52 439 
 
 719658 
 
 
 K 2 PtCl 6 
 
 .16090 
 
 206 560 
 
 K 
 
 Pt 
 
 .40 093 
 
 603 072 
 
 
 K 2 SO 
 
 .44868 
 
 651934 
 
 KC1 
 
 K PtCl 
 
 .30 683 
 
 486 902 
 
 
 Pt 
 
 .76457 
 
 883 414 
 
 K 2 
 
 KC1 
 
 .63 171 
 
 800519 
 
 
 KNO_ 
 
 .46579 
 
 668187 
 
 
 K 2 PtCl 6 
 
 .19383 
 
 287 421 
 
 
 Pt 
 
 .48 298 
 
 683 933 
 
 
 K 2 S0 4 
 
 .54 050 
 
 732 795 
 
 T7" Qf~\ 
 
 J\-JO\J. 
 
 BaS0 4 
 
 .74648 
 
 873 016 
 
 Li 
 
 Li 2 
 
 .46 449 
 
 666975 
 
 
 Li CO 
 
 .18 784 
 
 273 800 
 
 
 Li 3 P0 4 
 
 .17 967 
 
 254 483 
 
 
 Li 2 S0 4 
 
 .12622 
 
 101 131 
 
 Li 2 
 
 Li 2 C0 3 
 
 .40 441 
 
 606 825 
 
 
 Li 3 P0 4 
 
 .38 682 
 
 587 506 
 
 
 Li 2 S0 4 
 
 .27 174 
 
 434 156 
 
 Mg 
 
 MgO 
 
 .60317 
 
 780 443 
 
 MgC0 3 
 
 Mg 2 P 2 7 
 MgO 
 
 .21 839 
 2.09 127 
 
 339 235 
 320410 
 
 
 Mg 2 P 2 7 
 
 .75 718 
 
 879 199 
 
 MgO 
 
 Mg 2 P 2 7 
 
 .36 207 
 
 558 792 
 
 Mn 
 
 MnO 
 
 .77439 
 
 888 962 
 
 
 Mn 2 8 
 
 .69 590 
 
 842 544 
 
 
 Mn 3 4 
 
 .72 023 
 
 857472 
 
 
 Mn 2 P 2 7 
 
 .38 690 
 
 587 596 
 
 
 MnS 
 
 .63 134 
 
 800 262 
 
 
 MnS0 4 
 
 .36373 
 
 560 783 
 
 MnO 
 
 MnS 
 
 .81 527 
 
 911 300 
 
14 
 
 TABLE V (CONTINUED) 
 
 Sought 
 
 Found 
 
 Factor 
 
 log 
 
 MnO 
 
 MnS0 4 
 
 .46 970 
 
 671 821 
 
 N 
 
 NH 
 
 .82 266 
 
 915 223 
 
 
 (NH 4 ) 2 PtCl 6 
 
 .06 314 
 
 800 281 
 
 
 Pt 
 
 .14 369 
 
 157433 
 
 NH 
 
 N 
 
 1.21556 
 
 084 777 
 
 
 NH 4 C1 
 
 (NH 4 ) 2 PtCl 6 
 
 .31 832 
 .07 675 
 
 502 861 
 
 885 058 
 
 
 Pt 
 
 .17466 
 
 242 210 
 
 NH 4 
 
 NH 4 C1 
 
 .33 720 
 
 527 883 
 
 3 
 
 (NH 4 ) 2 PtCl 6 
 NHC1 
 
 .08 130 
 1.15 907 
 
 910080 
 064 108 
 
 
 (NH 4 ) 2 PtCL 
 
 .27 945 
 
 446 305 
 
 
 Pt 
 
 .63600 
 
 803 457 
 
 Na 
 
 _IM ct~ V-J 
 
 .74 187 
 
 870331 
 
 
 NaCl 
 
 .39340 
 
 594 833 
 
 
 NaN0 3 
 
 .27051 
 
 432 176 
 
 
 Na 2 S0 4 
 
 .32371 
 
 510153 
 
 NaCl 
 
 Na 2 S0 4 
 
 .82 285 
 
 915 320 
 
 Na 2 
 
 NaCl 
 
 .53 028 
 
 724 502 
 
 
 NaNO 
 
 .36 462 
 
 561 845 
 
 
 Na SO 
 
 .43 634 
 
 639 822 
 
 Na 2 S0 4 
 
 BaS0 4 
 
 .60 858 
 
 784 315 
 
 Ni 
 
 NiO 
 
 .78572 
 
 895 270 
 
 NiO 
 
 Ni 
 
 1.27271 
 
 104 730 
 
 P 
 
 P 2 5 
 
 .43 686 
 
 640 340 
 
 
 Mg P O 
 
 .27 867 
 
 445 092 
 
 
 (NH 4 )^0 4 .12Mo0 3 
 
 .01 653 
 
 218271 
 
 P 2 g 
 
 Ag 3 P0 4 
 
 .16 967 
 
 229 601 
 
 
 (NHlP0 4 -12MoO a 
 
 (U0 2 ) 2 P 2 7 
 
 .63 790 
 .03 784 
 .19872 
 
 804752 
 577931 
 298251 
 
 P0 4 
 
 Mg 2 P 2 7 
 
 .85 344 
 
 931 171 
 
 Pb 
 
 (NH 4 ) 2 P0 4 -12Mo0 8 
 PbCr0 4 
 
 .05 062 
 .64094 
 
 704 350 
 806 820 
 
 
 PbO 
 
 .92 827 
 
 967 676 
 
 
 Pb0 2 
 
 .86 615 
 
 937 592 
 
 
 PbS 
 
 .86 589 
 
 937 465 
 
 PbO 
 
 PbSO. 
 PbCr0 4 
 
 .68 309 
 .69047 
 
 834474 
 839 144 
 
 
 PbS 
 
 .93 280 
 
 969 789 
 
 
 PbS0 4 
 
 .73 586 
 
 866798 
 
 PbS 
 
 PbS0 4 
 
 .78 888 
 
 897009 
 
TABLE V (CONTINUED) 
 
 15 
 
 Sought 
 
 Found 
 
 Factor 
 
 log 
 
 Pt 
 
 NaCl 
 
 1.66818 
 
 222 243 
 
 s 
 
 BaSO. 
 
 .13 738 
 
 137 942 
 
 
 As 2 S 
 
 .39 092 
 
 592 090 
 
 S0 3 - 
 
 Ba0 4 
 
 .34 302 
 
 535 313 
 
 so 
 
 BaSO. 
 
 .41 156 
 
 614431 
 
 Sb 
 
 Sb 2 8 
 
 .83 317 
 
 920 734 
 
 
 Sb 2 4 
 
 .78 928 
 
 897 230 
 
 
 Sb 2 S 8 
 
 .71360 
 
 853 455 
 
 
 SbS 
 
 .59919 
 
 777 568 
 
 Sb 2 8 
 
 Sb 2 4 
 
 .94 732 
 
 976 496 
 
 
 Sb 2 S 8 
 
 .85 649 
 
 932 721 
 
 
 sb!s! 
 
 .71 917 
 
 856 834 
 
 Si 
 
 si6 2 5 
 
 .46932 
 
 671 469 
 
 Si0 8 
 
 Si0 2 
 
 1.26534 
 
 102 208 
 
 SiO 
 
 Si0 2 
 
 1.53068 
 
 184 885 
 
 Si 2 7 
 
 Si0 2 
 
 1.39800 
 
 145 510 
 
 Sn 
 
 Sn0 2 
 
 .78 808 
 
 896570 
 
 SnO 
 
 SnO, 
 
 .89 404 
 
 951 357 
 
 Sr 
 
 SrCO, 
 
 .59 354 
 
 773 453 
 
 
 SrO 
 
 .84 558 
 
 927 155 
 
 
 SrS0 4 
 
 .47 699 
 
 678 507 
 
 SrO 
 
 SrC0 8 
 
 .70 194 
 
 846 298 
 
 
 SrS0 4 
 
 .56 409 
 
 751352 
 
 Ti 
 
 Ti0 2 
 
 .60 050 
 
 778512 
 
 U 
 
 U0 2 
 
 .88 166 
 
 945 299 
 
 W 
 
 w 3 o 3 8 
 
 .84 820 
 .79310 
 
 928 497 
 899330 
 
 Zn 
 
 ZnO 
 
 .80 334 
 
 904901 
 
 
 ZnS 
 
 .67 084 
 
 826619 
 
 ZnO 
 
 ZnS 
 
 .83 506 
 
 921 718 
 
 ZnS 
 
 ZnO 
 
 1.19752 
 
 078 282 
 
16 
 
 TABLE VI 
 
 REDUCTION OF BAROMETRIC READINGS TO 
 
 (For temperatures above zero the corrections are negative and for temperatures below 
 
 zero positive.) 
 
 Temper- 
 ature 
 
 Glass Scale 
 
 Brass Scale 
 
 740 
 
 mm. 
 
 750 
 
 mm. 
 
 760 
 
 mm. 
 
 770 
 
 mm. 
 
 780 
 
 mm. 
 
 740 
 
 mm. 
 
 750 
 
 mm. 
 
 760 
 
 mm. 
 
 770 
 mm. 
 
 780 
 
 mm. 
 
 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 1 
 
 13 
 
 13 
 
 13 
 
 13 
 
 14 
 
 12 
 
 12 
 
 12 
 
 13 
 
 13 
 
 2 
 
 26 
 
 26 
 
 26 
 
 27 
 
 27 
 
 24 
 
 25 
 
 25 
 
 25 
 
 25 
 
 3 
 
 38 
 
 39 
 
 39 
 
 40 
 
 41 
 
 36 
 
 37 
 
 37 
 
 38 
 
 38 
 
 4 
 
 51 
 
 52 
 
 53 
 
 53 
 
 54 
 
 48 
 
 49 
 
 50 
 
 50 
 
 51 
 
 5 
 
 0.64 
 
 0.65 
 
 0.66 
 
 0.67 
 
 0.68 
 
 0.60 
 
 0.61 
 
 0.62 
 
 0.63 
 
 0.64 
 
 6 
 
 77 
 
 78 
 
 79 
 
 80 
 
 81 
 
 72 
 
 73 
 
 74 
 
 75 
 
 76 
 
 7 
 
 0.90 
 
 0.91 
 
 0.92 
 
 0.93 
 
 0.95 
 
 85 
 
 86 
 
 0.87 
 
 0.88 
 
 0.89 
 
 8 
 
 1.02 
 
 1.04 
 
 1.05 
 
 1.07 
 
 1.08 
 
 0.97 
 
 0.98 
 
 1.99 
 
 1.01 
 
 1.02 
 
 9 
 
 15 
 
 17 
 
 18 
 
 20 
 
 21 
 
 1.09 
 
 1.10 
 
 12 
 
 13 
 
 15 
 
 10 
 
 1.28 
 
 1.30 
 
 1.31 
 
 1.33 
 
 1.35 
 
 1.21 
 
 1.22 
 
 1.24 
 
 1.26 
 
 1.27 
 
 11 
 
 41 
 
 43 
 
 45 
 
 46 
 
 48 
 
 33 
 
 35 
 
 36 
 
 38 
 
 40 
 
 12 
 
 53 
 
 56 
 
 58 
 
 60 
 
 62 
 
 45 
 
 47 
 
 49 
 
 51 
 
 53 
 
 13 
 
 66 
 
 69 
 
 71 
 
 73 
 
 75 
 
 57 
 
 59 
 
 61 
 
 63 
 
 65 
 
 14 
 
 79 
 
 81 
 
 84 
 
 1.86 
 
 1.89 
 
 69 
 
 71 
 
 73 
 
 76 
 
 78 
 
 15 
 
 1.92 
 
 1.94 
 
 1.97 
 
 2.00 
 
 2.02 
 
 1.81 
 
 1.83 
 
 1.86 
 
 1.88 
 
 1.91 
 
 16 
 
 2.05 
 
 2.07 
 
 2.10 
 
 13 
 
 16 
 
 1.93 
 
 1.96 
 
 1.98 
 
 2.01 
 
 2.03 
 
 17 
 
 17 
 
 20 
 
 23 
 
 26 
 
 29 
 
 2.05 
 
 2.08 
 
 2.10 
 
 13 
 
 16 
 
 18 
 
 30 
 
 33 
 
 36 
 
 39 
 
 43 
 
 17 
 
 20 
 
 23 
 
 26 
 
 29 
 
 19 
 
 43 
 
 46 
 
 49 
 
 53 
 
 56 
 
 29 
 
 32 
 
 35 
 
 38 
 
 41 
 
 20 
 
 2.56 
 
 2.59 
 
 2.62 
 
 2.66 
 
 2.69 
 
 2.41 
 
 2.44 
 
 2.47 
 
 2.51 
 
 2.54 
 
 21 
 
 68 
 
 72 
 
 76 
 
 79 
 
 83 
 
 53 
 
 56 
 
 60 
 
 63 
 
 67 
 
 22 
 
 81 
 
 85 
 
 2.89 
 
 2.92 
 
 2.96 
 
 65 
 
 69 
 
 72 
 
 76 
 
 79 
 
 23 
 
 2.94 
 
 2.98 
 
 3.02 
 
 3.06 
 
 3.10 
 
 77 
 
 81 
 
 84 
 
 2.88 
 
 2.92 
 
 24 
 
 3.06 
 
 3.11 
 
 15 
 
 19 
 
 23 
 
 2.89 
 
 2.93 
 
 2.97 
 
 3.01 
 
 3.05 
 
 25 
 
 3.19 
 
 3.23 
 
 3.28 
 
 3.32 
 
 3.36 
 
 3.01 
 
 3.05 
 
 3.09 
 
 3.13 
 
 3.17 
 
 26 
 
 32 
 
 36 
 
 41 
 
 45 
 
 50 
 
 13 
 
 17 
 
 21 
 
 26 
 
 30 
 
 27 
 
 45 
 
 49 
 
 54 
 
 59 
 
 63 
 
 25 
 
 29 
 
 34 
 
 38 
 
 42 
 
 28 
 
 57 
 
 62 
 
 67 
 
 72 
 
 77 
 
 37 
 
 41 
 
 46 
 
 51 
 
 55 
 
 29 
 
 70 
 
 75 
 
 80 
 
 85 
 
 3.90 
 
 49 
 
 54 
 
 58 
 
 63 
 
 68 
 
 30 
 
 3.83 
 
 3.88 
 
 3.93 
 
 3.98 
 
 4.03 
 
 3.61 
 
 3.66 
 
 3.71 
 
 3.75 
 
 3.80 
 
 31 
 
 3.95 
 
 4.01 
 
 4.06 
 
 4.11 
 
 17 
 
 73 
 
 78 
 
 83 
 
 3.88 
 
 3.93 
 
 32 
 
 4.08 
 
 14 
 
 19 
 
 25 
 
 30 
 
 85 
 
 3.90 
 
 3.95 
 
 4.00 
 
 4.05 
 
 33 
 
 21 
 
 26 
 
 32 
 
 38 
 
 43 
 
 3.97 
 
 4.02 
 
 4.07 
 
 13 
 
 18 
 
 34 
 
 33 
 
 39 
 
 45 
 
 51 
 
 57 
 
 4.09 
 
 14 
 
 20 
 
 25 
 
 31 
 
 35 
 
 4.46 
 
 4.52 
 
 4.58 
 
 4.65 
 
 4.71 
 
 4.21 
 
 4.26 
 
 4.32 
 
 4.38 
 
 4.43 
 
TABLE VII 
 
 17 
 
 GEOGRAPHICAL LATITUDE, ELEVATION, AND GRAVITY (REFERRED TO 
 45 AND SEA LEVEL) OF SOME IMPORTANT CITIES 
 
 
 Latitude 
 
 Height 
 above 
 sea level 
 m. 
 
 Gravity 
 
 log 
 
 Baltimore, Met. 
 
 39 18' 
 
 23. 
 
 0.9 994 705 
 
 999 770 
 
 Berlin, New Obs. 
 
 52 30' 16.7" 
 
 37.00 
 
 1.0006736 
 
 000292 
 
 Bonn, Obs. 
 
 50 43' 45.0" 
 
 61.92 
 
 1.0005054 
 
 000219 
 
 Boston, Met. 
 
 42 21' 
 
 38. 
 
 0.9 997 438 
 
 999 889 
 
 Brussels, Old Obs. 
 
 50 51' 10.7" 
 
 56. 
 
 1.0005179 
 
 000225 
 
 Cambridge, Eng., Obs. 
 
 52 12' 5 1.6" 
 
 28. 
 
 1.0006504 
 
 000282 
 
 Cambridge, Mass., Harvard Obs. 
 
 42 22' 47.6" 
 
 24. 
 
 0.9 997 509 
 
 999892 
 
 Cincinnati, Obs. 
 
 39 8' 19.5" 
 
 263. 
 
 0.9 993 803 
 
 999731 
 
 Dublin, Dunsink Obs. 
 
 53 23' 13.1" 
 
 86. 
 
 1.0007365 
 
 000320 
 
 Freiberg 
 
 47 59' 40" 
 
 270.6 
 
 1.0001907 
 
 000083 
 
 Gottingen, Obs. 
 
 51 31' 48.2" 
 
 159.2 
 
 1.0005478 
 
 000 238 
 
 Greenwich, Obs. 
 
 51 28' 38.1" 
 
 47. 
 
 1.0005783 
 
 000251 
 
 Heidelberg, Obs. 
 
 49 23' 54.9" 
 
 113.6 
 
 1.0003688 
 
 000 160 
 
 Kopenhagen, Obs. 
 
 55 41' 12.9" 
 
 14. 
 
 1.0009602 
 
 000317 
 
 London, Camden Sq., Met. 
 
 51 32' 30" 
 
 34. 
 
 1.0005881 
 
 000 255 
 
 Madrid, Obs. 
 
 45 27' 59.2" 
 
 120. 
 
 1.0000053 
 
 000 002 
 
 Montreal, McGill Col. Obs. 
 
 45 30' 17.0" 
 
 57. 
 
 1.0000287 
 
 000012 
 
 New Haven, Yale Obs. 
 
 41 19' 22.3" 
 
 32. 
 
 0.9 996 521 
 
 999 848 
 
 New Orleans, Met. 
 
 29 58' 
 
 16. 
 
 0.9 986 721 
 
 999423 
 
 New York, Rutherford Obs. 
 
 40 43' 48.5" 
 
 96. 
 
 0.9 995 774 
 
 999817 
 
 Paris, Nat. Obs. 
 
 48 50' 11.2" 
 
 59. 
 
 1.0 003 345 
 
 000145 
 
 Philadelphia, Obs. 
 
 39 57' 7.5" 
 
 36. 
 
 0.9 995 254 
 
 999 794 
 
 Prag, Obs. 
 
 50 5' 15.8" 
 
 197. 
 
 1.0004053 
 
 000 176 
 
 Quebec, Obs. 
 
 46 48' 20.8" 
 
 70. 
 
 1.0001446 
 
 000063 
 
 St. Louis, Obs. 
 
 3838 / 3.6" 
 
 171. 
 
 0.9993611 
 
 999 722 
 
 San Francisco, Davidson Obs. 
 
 3 7 4 r 28.0" 
 
 47.2 
 
 0.9 993 272 
 
 999 708 
 
 Strassburg, New Obs. 
 
 48 35' 0.3" 
 
 144.66 
 
 1.0002845 
 
 000124 
 
 Washington, Georgetown Hts. Obs. 
 
 38 55' 14. 7" 
 
 285. 
 
 0.9993537 
 
 999 719 
 
 Zurich, Obs. d. Polyt. 
 
 47 22' 40" 
 
 468.24 
 
 1.0000718 
 
 000031 
 
18 
 
 TABLE VIII 
 
 REDUCTION OF BAROMETRIC READINGS TO NORMAL GRAVITY 
 
 (From Landolt-Bornstein) 
 
 A. REDUCTION TO 45 LATITUDE 
 
 (From to 45 the correction is always negative, and from 45 to 90 positive.) 
 
 
 Barometric Readings in mm., corrected for Temperature 
 
 
 Latitude 
 
 640 
 
 650 
 
 660 
 
 670 
 
 680 
 
 690 
 
 700 
 
 710 
 
 720 
 
 730 
 
 740 
 
 750 
 
 760 
 
 770 
 
 780 
 
 Latitude 
 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 
 
 
 1.66 
 
 1.68 
 
 1.71 
 
 1.74 
 
 1.76 
 
 1.79 
 
 1.81 
 
 1.84 
 
 1.86 
 
 1.89 
 
 1.92 
 
 1.94 
 
 1.97 
 
 1.99 
 
 2.02 
 
 90 
 
 5 
 
 63 
 
 66 
 
 68 
 
 71 
 
 73 
 
 76 
 
 79 
 
 81 
 
 84 
 
 86 
 
 89 
 
 91 
 
 94 
 
 96 
 
 1.99 
 
 85 
 
 10 
 
 56 
 
 58 
 
 61 
 
 63 
 
 65 
 
 68 
 
 70 
 
 73 
 
 75 
 
 78 
 
 80 
 
 83 
 
 85 
 
 87 
 
 90 
 
 80 
 
 15 
 
 44 
 
 46 
 
 48 
 
 50 
 
 53 
 
 55 
 
 57 
 
 59 
 
 61 
 
 64 
 
 66 
 
 68 
 
 70 
 
 73 
 
 75 
 
 75 
 
 20 
 
 27 
 
 29 
 
 31 
 
 33 
 
 35 
 
 37 
 
 39 
 
 41 
 
 43 
 
 45 
 
 47 
 
 49 
 
 51 
 
 53 
 
 55 
 
 70 
 
 25 
 
 1.07 
 
 1.08 
 
 1.10 
 
 1.12 
 
 1.13 
 
 1.15 
 
 1.17 
 
 1.18 
 
 1.20 
 
 1.22 
 
 1.23 
 
 1.25 
 
 1.27 
 
 28 
 
 30 
 
 65 
 
 30 
 
 0.83 
 
 0.84 
 
 0.85 
 
 0.87 
 
 0.88 
 
 0.89 
 
 0.91 
 
 0.92 
 
 0.93 
 
 0.95 
 
 0.96 
 
 0.97 
 
 0.98 
 
 1.00 
 
 1.01 
 
 60 
 
 35 
 
 57 
 
 58 
 
 58 
 
 59 
 
 60 
 
 61 
 
 62 
 
 63 
 
 64 
 
 65 
 
 66 
 
 66 
 
 67 
 
 0.68 
 
 0.69 
 
 55 
 
 40 
 
 29 
 
 29 
 
 30 
 
 30 
 
 31 
 
 31 
 
 31 
 
 32 
 
 32 
 
 33 
 
 33 
 
 34 
 
 34 
 
 35 
 
 35 
 
 50 
 
 45 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 0.00 
 
 45 
 
 B. REDUCTION TO SEA LEVEL 
 (These corrections are all negative.) 
 
 Height above 
 sea level 
 
 772. 
 
 Barometric Readings in mm., corrected for Temperature 
 
 Height above 
 sea level 
 
 772. 
 
 620 
 
 772772. 
 
 640 
 
 mm. 
 
 660 
 
 mm. 
 
 680 
 
 mm. 
 
 700 
 mm. 
 
 720 
 
 mm. 
 
 740 
 mm. 
 
 760 
 
 mm. 
 
 780 
 
 mm. 
 
 100 
 
 
 
 
 
 0.01 
 
 0.01 
 
 0.01 
 
 0.01 
 
 0.02 
 
 100 
 
 200 
 
 
 
 
 0.03 
 
 03 
 
 03 
 
 03 
 
 03 
 
 0.03 
 
 200 
 
 300 
 
 
 
 
 04 
 
 04 
 
 04 
 
 04 
 
 04 
 
 
 300 
 
 400 
 
 
 
 0.05 
 
 05 
 
 05 
 
 06 
 
 06 
 
 06 
 
 
 400 
 
 500 
 
 
 
 06 
 
 07 
 
 07 
 
 07 
 
 07 
 
 0.07 
 
 
 500 
 
 600 
 
 
 
 08 
 
 08 
 
 08 
 
 08 
 
 09 
 
 
 
 600 
 
 700 
 
 
 0.09 
 
 09 
 
 09 
 
 10 
 
 10 
 
 10 
 
 
 
 700 
 
 800 
 
 
 10 
 
 10 
 
 11 
 
 11 
 
 11 
 
 0.12 
 
 
 
 800 
 
 900 
 
 
 0.11 
 
 0.12 
 
 0.12 
 
 0.12 
 
 0.13 
 
 
 
 
 900 
 
 1000 
 
 0.12 
 
 0.13 
 
 0.13 
 
 0.13 
 
 0.14 
 
 0.14 
 
 
 
 
 1000 
 
 1100 
 
 13 
 
 14 
 
 14 
 
 15 
 
 15 
 
 0.16 
 
 
 
 
 1100 
 
 1200 
 
 15 
 
 15 
 
 16 
 
 16 
 
 16 
 
 
 
 
 
 1200 
 
 1300 
 
 16 
 
 16 
 
 17 
 
 17 
 
 18 
 
 
 
 
 
 1300 
 
 1400 
 
 17 
 
 18 
 
 18 
 
 19 
 
 0.19 
 
 
 
 
 
 1400 
 
 1500 
 
 18 
 
 19 
 
 19 
 
 20 
 
 
 
 
 
 
 1500 
 
 1600 
 
 19 
 
 20 
 
 21 
 
 21 
 
 
 
 
 
 
 1600 
 
 1700 
 
 21 
 
 21 
 
 22 
 
 0.23 
 
 
 
 
 
 
 1700 
 
 1800 
 
 22 
 
 23 
 
 23 
 
 
 
 
 
 
 
 1800 
 
 1900 
 
 0.23 
 
 0.24 
 
 0.25 
 
 
 
 
 
 
 
 1900 
 
 2000 
 
 0.24 
 
 0.25 
 
 
 
 
 
 
 
 
 2000 
 
TABLE IX 
 
 19 
 
 CAPILLAKY DEPRESSION OF MERCURY 
 
 (Interpolated by F. Kohlrausch from Mendelejeff and Gutkowsky.) 
 
 Height of Meniscus in mm. 
 
 Diameter 
 of tube 
 
 0.4 
 
 0.6 
 
 0.8 
 
 1.0 
 
 1.2 
 
 1.4 
 
 1.6 
 
 1.8 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 mm. 
 
 4 
 
 0.83 
 
 1.22 
 
 1.54 
 
 1.98 
 
 2.37 
 
 
 
 
 5 
 
 47 
 
 0.65 
 
 0.86 
 
 1.19 
 
 1.45 
 
 1.80 
 
 
 
 6 
 
 27 
 
 41 
 
 56 
 
 0.78 
 
 0.98 
 
 1.21 
 
 1.43 
 
 
 7 
 
 18 
 
 28 
 
 40 
 
 53 
 
 67 
 
 0.82 
 
 0.97 
 
 1.13 
 
 8 
 
 
 20 
 
 29 
 
 38 
 
 46 
 
 56 
 
 65 
 
 0.77 
 
 9 
 
 
 15 
 
 21 
 
 28 
 
 33 
 
 40 
 
 46 
 
 52 
 
 10 
 
 
 
 15 
 
 20 
 
 25 
 
 29 
 
 33 
 
 37 
 
 11 
 
 
 
 10 
 
 14 
 
 18 
 
 21 
 
 24 
 
 27 
 
 12 
 
 
 
 07 
 
 10 
 
 13 
 
 15 
 
 18 
 
 19 
 
 13 
 
 
 
 04 
 
 07 
 
 10 
 
 12 
 
 13 
 
 14 
 
20 
 
 TABLE X 
 
 TENSION OF AQUEOUS VAPOR OVER WATER EXPRESSED IN TERMS 
 OF NORMAL MERCURY UNITS 
 
 (Taken from Landolt-Bornstein. Observations by Regnault.) 
 
 Degrees 
 
 Hydrogen Scale. Tenth Degrees 
 
 .0 
 
 772/77. 
 
 .1 
 
 777771. 
 
 .2 
 
 777777. 
 
 .3 
 
 771772. 
 
 .4 
 
 777777. 
 
 .5 
 
 772772. 
 
 .6 
 
 777772. 
 
 .7 
 
 772777. 
 
 .8 
 mm. 
 
 .9 
 
 772772. 
 
 
 
 4.579 
 
 4.612 
 
 4.646 
 
 4.679 
 
 4.713 
 
 4.747 
 
 4.782 
 
 4.816 
 
 4.851 
 
 4.886 
 
 1 
 
 4.921 
 
 4.957 
 
 4.992 
 
 5.028 
 
 5.064 
 
 5.101 
 
 5.137 
 
 5.174 
 
 5.211 
 
 5.248 
 
 2 
 
 5.286 
 
 5.324 
 
 5362 
 
 5.400 
 
 5.438 
 
 5.477 
 
 5.516 
 
 5.555 
 
 5.595 
 
 5.635 
 
 3 
 
 5.675 
 
 5.715 
 
 5.755 
 
 5.796 
 
 5.837 
 
 5.878 
 
 5.920 
 
 5.961 
 
 6.003 
 
 6.046 
 
 4 
 
 6.088 
 
 6.131 
 
 6.174 
 
 6.217 
 
 6.261 
 
 6.305 
 
 6.349 
 
 6.393 
 
 6.438 
 
 6.483 
 
 5 
 
 6.528 
 
 6.574 
 
 6.620 
 
 6.666 
 
 6.712 
 
 6.759 
 
 6.806 
 
 6.853 
 
 6.901 
 
 6.949 
 
 6 
 
 6.997 
 
 7.045 
 
 7.094 
 
 7.143 
 
 7.192 
 
 7.242 
 
 7.292 
 
 7.342 
 
 7.392 
 
 7.443 
 
 7 
 
 7.494 
 
 7.546 
 
 7.598 
 
 7.650 
 
 7.702 
 
 7.755 
 
 7.808 
 
 7.861 
 
 7.914 
 
 7.968 
 
 8 
 
 8.023 
 
 8.077 
 
 8.132 
 
 8.187 
 
 8.243 
 
 8.299 
 
 8.355 
 
 8.412 
 
 8.469 
 
 8.526 
 
 9 
 
 8.584 
 
 8.642 
 
 8.700 
 
 8.759 
 
 8.818 
 
 8.877 
 
 8.937 
 
 8.997 
 
 9.057 
 
 9.118 
 
 10 
 
 9.179 
 
 9.240 
 
 9.302 
 
 9.364 
 
 9.427 
 
 9.490 
 
 9.553 
 
 9.616 
 
 9.680 
 
 9.745 
 
 11 
 
 9.810 
 
 9.875 
 
 9.940 
 
 10.006 
 
 10.072 
 
 10.139 
 
 10.206 
 
 10.274 
 
 10.342 
 
 10.410 
 
 12 
 
 10.479 
 
 10.548 
 
 10.617 
 
 10.687 
 
 10.757 
 
 10.828 
 
 10.899 
 
 10.970 
 
 11.042 
 
 11.114 
 
 13 
 
 11.187 
 
 11.260 
 
 11.333 
 
 11.407 
 
 11.481 
 
 11.556 
 
 11.631 
 
 11.706 
 
 11.782 
 
 11.859 
 
 14 
 
 11.936 
 
 12.013 
 
 12.091 
 
 12.169 
 
 12.247 
 
 12.326 
 
 12.406 
 
 12.486 
 
 12.566 
 
 12.647 
 
 15 
 
 12.728 
 
 12.810 
 
 12.892 
 
 12.974 
 
 13.057 
 
 13.141 
 
 13.225 
 
 13.309 
 
 13.394 
 
 13.480 
 
 16 
 
 13.565 
 
 13.651 
 
 13.738 
 
 13.825 
 
 13.913 
 
 14.001 
 
 14.090 
 
 14.179 
 
 14.269 
 
 14.359 
 
 17 
 
 14.450 
 
 14.541 
 
 14.632 
 
 14.724 
 
 14.817 
 
 14.910 
 
 15.003 
 
 15.097 
 
 15.192 
 
 15.287 
 
 18 
 
 15.383 
 
 15.479 
 
 15.575 
 
 15.672 
 
 15.770 
 
 15.858 
 
 15.967 
 
 16.066 
 
 16.166 
 
 16.266 
 
 19 
 
 16.367 
 
 16.469 
 
 16.571 
 
 16.673 
 
 16.776 
 
 16.8SO 
 
 16.984 
 
 17.088 
 
 17.193 
 
 17.299 
 
 20 
 
 17.406 
 
 17.513 
 
 17.620 
 
 17.728 
 
 17.837 
 
 17.947 
 
 18.057 
 
 18.167 
 
 18.278 
 
 18.390 
 
 21 
 
 18.503 
 
 18.616 
 
 18.729 
 
 18.844 
 
 18.959 
 
 19.074 
 
 19.190 
 
 19.307 
 
 19.424 
 
 19.542 
 
 22 
 
 19.661 
 
 19.780 
 
 19.900 
 
 20.021 
 
 20.142 
 
 20.264 
 
 20.386 
 
 20.510 
 
 20.634 
 
 20.758 
 
 23 
 
 20.883 
 
 21.010 
 
 21.137 
 
 21.264 
 
 21.393 
 
 21.522 
 
 21.652 
 
 21.782 
 
 21.913 
 
 22.045 
 
 24 
 
 22.178 
 
 22.311 
 
 22.446 
 
 22.581 
 
 22.716 
 
 22.853 
 
 22.990 
 
 23.128 
 
 23.266 
 
 23.406 
 
 25 
 
 23.546 
 
 23.686 
 
 23.828 
 
 23.970 
 
 24.113 
 
 24.257 
 
 24.401 
 
 24.547 
 
 24.693 
 
 24.839 
 
 26 
 
 24.987 
 
 25.135 
 
 25.284 
 
 25.434 
 
 25.584 
 
 25.736 
 
 25.888 
 
 26.041 
 
 26.195 
 
 26.349 
 
 27 
 
 26.505 
 
 26.661 
 
 26.818 
 
 26.976 
 
 27.134 
 
 27.294 
 
 27.454 
 
 27.615 
 
 27.777 
 
 27.939 
 
 28 
 
 28.103 
 
 28.267 
 
 28.432 
 
 28.599 
 
 28.766 
 
 28.933 
 
 29.102 
 
 29.271 
 
 29.442 
 
 29.613 
 
 29 
 
 29.785 
 
 29.958 
 
 30.132 
 
 30.307 
 
 30.482 
 
 30.659 
 
 30.836 
 
 31.015 
 
 31.194 
 
 31.374 
 
 30 
 
 31.555 
 
 31.737 
 
 31.919 
 
 32.103 
 
 32.288 
 
 32.473 
 
 32.660 
 
 32.847 
 
 33.036 
 
 33.225 
 
 31 
 
 33.416 
 
 33.607 
 
 33.799 
 
 33.992 
 
 34.187 
 
 34.382 
 
 34.578 
 
 34.775 
 
 34.973 
 
 35.172 
 
 32 
 
 35.372 
 
 35.573 
 
 35.775 
 
 35.978 
 
 36.182 
 
 36.387 
 
 36.593 
 
 36.800 
 
 37.008 
 
 37.217 
 
 33 
 
 37.427 
 
 37.638 
 
 37.851 
 
 38.064 
 
 38.278 
 
 38.493 
 
 38.710 
 
 38.927 
 
 39.146 
 
 39.365 
 
 34 
 
 39.586 
 
 39.807 
 
 40.030 
 
 40.254 
 
 40.479 
 
 40.705 
 
 40.933 
 
 41.161 
 
 41.390 
 
 41.621 
 
 35 
 
 41.853 
 
 42.085 
 
 42.319 
 
 42.554 
 
 42.791 
 
 43.028 
 
 43.266 
 
 43.506 
 
 43.747 
 
 43.989 
 
TABLE XI 
 
 21 
 
 REDUCTION OF WATER PRESSURE TO MERCURY PRESSURE 
 
 (Calculated from the following : temperature of the water 4, of the mercury ; 
 density of the water 1, of the mercury 13.59545) 
 
 (Thiesen and Schul. Z. S. f . Instrk. 18, 138) 
 
 Water 
 
 Mercury 
 
 Water 
 
 Mercury 
 
 Water 
 
 Mercury 
 
 Water 
 
 Mercury 
 
 Water 
 
 Mercury 
 
 10 
 
 0.74 
 
 50 
 
 3.68 
 
 90 
 
 6.62 
 
 130 
 
 9.56 
 
 170 
 
 12.50 
 
 11 
 
 81 
 
 51 
 
 75 
 
 91 
 
 69 
 
 131 
 
 64 
 
 171 
 
 58 
 
 12 
 
 88 
 
 52 
 
 82 
 
 92 
 
 77 
 
 132 
 
 71 
 
 172 
 
 65 
 
 13 
 
 0.96 
 
 53 
 
 90 
 
 93 
 
 84 
 
 133 
 
 78 
 
 173 
 
 72 
 
 14 
 
 1.03 
 
 54 
 
 3.97 
 
 94 
 
 91 
 
 134 
 
 86 
 
 174 
 
 80 
 
 15 
 
 10 
 
 55 
 
 4.05 
 
 95 
 
 6.99 
 
 135 
 
 9.93 
 
 175 
 
 87 
 
 16 
 
 18 
 
 56 
 
 12 
 
 96 
 
 7.06 
 
 136 
 
 10.00 
 
 176 
 
 12.95 
 
 17 
 
 25 
 
 57 
 
 19 
 
 97 
 
 13 
 
 137 
 
 08 
 
 177 
 
 13.02 
 
 18 
 
 32 
 
 58 
 
 27 
 
 98 
 
 21 
 
 138 
 
 15 
 
 178 
 
 09 
 
 19 
 
 40 
 
 59 
 
 34 
 
 99 
 
 28 
 
 139 
 
 22 
 
 179 
 
 17 
 
 20 
 
 1.47 
 
 60 
 
 4.41 
 
 100 
 
 7.36 
 
 140 
 
 10.30 
 
 180 
 
 13.24 
 
 21 
 
 54 
 
 61 
 
 49 
 
 101 
 
 43 
 
 141 
 
 37 
 
 181 
 
 31 
 
 22 
 
 62 
 
 62 
 
 56 
 
 102 
 
 50 
 
 142 
 
 44 
 
 182 
 
 38 
 
 23 
 
 69 
 
 63 
 
 63 
 
 103 
 
 58 
 
 143 
 
 52 
 
 183 
 
 46 
 
 24 
 
 77 
 
 64 
 
 71 
 
 104 
 
 65 
 
 144 
 
 59 
 
 184 
 
 53 
 
 25 
 
 84 
 
 65 
 
 78 
 
 105 
 
 72 
 
 145 
 
 67 
 
 185 
 
 61 
 
 26 
 
 91 
 
 66 
 
 85 
 
 106 
 
 80 
 
 146 
 
 74 
 
 186 
 
 68 
 
 27 
 
 1.99 
 
 67 
 
 4.93 
 
 107 
 
 87 
 
 147 
 
 81 
 
 187 
 
 75 
 
 28 
 
 2.06 
 
 68 
 
 5.00 
 
 108 
 
 7.94 
 
 148 
 
 89 
 
 188 
 
 83 
 
 29 
 
 13 
 
 69 
 
 08 
 
 109 
 
 8.02 
 
 149 
 
 10.96 
 
 189 
 
 90 
 
 30 
 
 2.21 
 
 70 
 
 5.15 
 
 110 
 
 8.09 
 
 150 
 
 11.03 
 
 190 
 
 13.98 
 
 31 
 
 28 
 
 71 
 
 22 
 
 111 
 
 16 
 
 151 
 
 11 
 
 191 
 
 14.05 
 
 32 
 
 35 
 
 72 
 
 30 
 
 112 
 
 24 
 
 152 
 
 18 
 
 192 
 
 12 
 
 33 
 
 43 
 
 73 
 
 37 
 
 113 
 
 31 
 
 153 
 
 25 
 
 193 
 
 20 
 
 34 
 
 50 
 
 74 
 
 44 
 
 114 
 
 39 
 
 154 
 
 33 
 
 194 
 
 27 
 
 35 
 
 57 
 
 75 
 
 52 
 
 115 
 
 46 
 
 155 
 
 40 
 
 195 
 
 34 
 
 36 
 
 65 
 
 76 
 
 59 
 
 116 
 
 53 
 
 156 
 
 47 
 
 196 
 
 42 
 
 37 
 
 72 
 
 77 
 
 66 
 
 117 
 
 61 
 
 157 
 
 55 
 
 197 
 
 49 
 
 38 
 
 79 
 
 78 
 
 74 
 
 118 
 
 68 
 
 158 
 
 62 
 
 198 
 
 56 
 
 39 
 
 87 
 
 79 
 
 81 
 
 119 
 
 75 
 
 159 
 
 69 
 
 199 
 
 64 
 
 40 
 
 2.94 
 
 80 
 
 5.88 
 
 120 
 
 8.83 
 
 160 
 
 11.77 
 
 200 
 
 14.71 
 
 41 
 
 3.02 
 
 81 
 
 5.96 
 
 121 
 
 90 
 
 161 
 
 84 
 
 300 
 
 22.07 
 
 42 
 
 09 
 
 82 
 
 6.03 
 
 122 
 
 8.97 
 
 162 
 
 92 
 
 400 
 
 29.42 
 
 43 
 
 16 
 
 83 
 
 10 
 
 123 
 
 9.05 
 
 163 
 
 11.99 
 
 500 
 
 36.78 
 
 44 
 
 24 
 
 84 
 
 18 
 
 124 
 
 12 
 
 164 
 
 12.06 
 
 600 
 
 44.13 
 
 45 
 
 31 
 
 85 
 
 25 
 
 125 
 
 19 
 
 165 
 
 14 
 
 700 
 
 51.49 
 
 46 
 
 38 
 
 86 
 
 33 
 
 126 
 
 27 
 
 166 
 
 21 
 
 800 
 
 58.84 
 
 47 
 
 46 
 
 87 
 
 40 
 
 127 
 
 34 
 
 167 
 
 28 
 
 900 
 
 66.20 
 
 48 
 
 53 
 
 88 
 
 47 
 
 128 
 
 41 
 
 168 
 
 36 
 
 1000 
 
 73.55 
 
 49 
 
 60 
 
 89 
 
 55 
 
 129 
 
 49 
 
 169 
 
 43 
 
 
 
TABLE XII 
 
 REDUCTION OF THE VOLUME OF GASES TO NORMAL PRESSURE 
 (This table contains the values of where h = 500 to 839 mm.) 
 
 t \)\) 
 
 (Landolt-Bb'rnstein) 
 
 h 
 mm. 
 
 h 
 760 
 
 log 
 6 760 
 
 h 
 nun. 
 
 h 
 760 
 
 10g 4 
 
 h 
 mm. 
 
 h 
 760 
 
 log 
 6 760 
 
 500 
 
 0.65 789 
 
 818153 
 
 540 
 
 0.71 053 
 
 851 582 
 
 580 
 
 0.76316 
 
 882 616 
 
 501 
 
 0.65 921 
 
 9024 
 
 541 
 
 184 
 
 2382 
 
 581 
 
 447 
 
 3360 
 
 502 
 
 0.66 053 
 
 819 893 
 
 542 
 
 316 
 
 3187 
 
 582 
 
 579 
 
 4110 
 
 503 
 
 184 
 
 820 753 
 
 543 
 
 447 
 
 3984 
 
 583 
 
 711 
 
 4 858 
 
 504 
 
 316 
 
 1618 
 
 544 
 
 579 
 
 4786 
 
 584 
 
 842 
 
 5599 
 
 505 
 
 447 
 
 2475 
 
 545 
 
 711 
 
 5586 
 
 585 
 
 0.76974 
 
 6344 
 
 506 
 
 579 
 
 3337 
 
 546 
 
 842 
 
 6378 
 
 586 
 
 0.77 105 
 
 7083 
 
 507 
 
 711 
 
 4198 
 
 547 
 
 0.71 974 
 
 7176 
 
 587 
 
 237 
 
 7825 
 
 508 
 
 842 
 
 5049 
 
 548 
 
 0.72 105 
 
 7965 
 
 588 
 
 368 
 
 8561 
 
 509 
 
 0.66974 
 
 5906 
 
 549 
 
 237 
 
 8760 
 
 589 
 
 500 
 
 889 302 
 
 510 
 
 0.67 105 
 
 826 755 
 
 550 
 
 0.72 368 
 
 859 547 
 
 590 
 
 0.77 632 
 
 890041 
 
 511 
 
 237 
 
 7608 
 
 551 
 
 500 
 
 860 338 
 
 591 
 
 763 
 
 0773 
 
 512 
 
 368 
 
 8454 
 
 552 
 
 632 
 
 1128 
 
 592 
 
 0.77 895 
 
 1510 
 
 513 
 
 500 
 
 829304 
 
 553 
 
 763 
 
 1911 
 
 593 
 
 0.78026 
 
 1682 
 
 514 
 
 632 % 
 
 830 152 
 
 554 
 
 0.72 895 
 
 2698 
 
 594 
 
 158 
 
 2973 
 
 515 
 
 763 
 
 0993 
 
 555 
 
 0.73 026 
 
 3478 
 
 595 
 
 289 
 
 3701 
 
 516 
 
 0.67 895 
 
 1838 
 
 556 
 
 158 
 
 4262 
 
 596 
 
 421 
 
 4432 
 
 517 
 
 0.68 026 
 
 2675 
 
 557 
 
 289 
 
 5039 
 
 597 
 
 553 
 
 5163 
 
 518 
 
 158 
 
 3517 
 
 558 
 
 421 
 
 5820 
 
 598 
 
 684 
 
 5886 
 
 519 
 
 289 
 
 4351 
 
 559 
 
 553 
 
 6600 
 
 599 
 
 816 
 
 6614 
 
 520 
 
 0.68421 
 
 835 189 
 
 560 
 
 0.73 684 
 
 867373 
 
 600 
 
 0.78 947 
 
 897 336 
 
 521 
 
 553 
 
 6027 
 
 561 
 
 816 
 
 8151 
 
 601 
 
 0.79 079 
 
 8061 
 
 522 
 
 684 
 
 6856 
 
 562 
 
 0.73 947 
 
 8921 
 
 602 
 
 211 
 
 8786 
 
 523 
 
 816 
 
 7689 
 
 563 
 
 0.74 079 
 
 869 695 
 
 603 
 
 342 
 
 899 503 
 
 524 
 
 0.68 947 
 
 8515 
 
 564 
 
 211 
 
 870 468 
 
 604 
 
 474 
 
 900 225 
 
 525 
 
 0.69 079 
 
 839346 
 
 565 
 
 342 
 
 1234 
 
 605 
 
 605 
 
 0940 
 
 526 
 
 211 
 
 840 175 
 
 566 
 
 474 
 
 2005 
 
 606 
 
 737 
 
 1660 
 
 527 
 
 342 
 
 0996 
 
 567 
 
 605 
 
 2768 
 
 607 
 
 0.79868 
 
 2373 
 
 528 
 
 474 
 
 1822 
 
 568 
 
 737 
 
 3536 
 
 608 
 
 0.80000 
 
 3090 
 
 529 
 
 605 
 
 2640 
 
 569 
 
 0.74 868 
 
 4296 
 
 609 
 
 132 
 
 3806 
 
 530 
 
 0.69 737 
 
 843 463 
 
 570 
 
 0.75 000 
 
 875 061 
 
 610 
 
 0.80 263 
 
 904515 
 
 531 
 
 0.69 868 
 
 4278 
 
 571 
 
 132 
 
 5825 
 
 611 
 
 395 
 
 5229 
 
 532 
 
 0.70 000 
 
 5098 
 
 572 
 
 263 
 
 6582 
 
 612 
 
 526 
 
 5936 
 
 533 
 
 132 
 
 5916 
 
 573 
 
 395 
 
 7343 
 
 613 
 
 658 
 
 6647 
 
 534 
 
 263 
 
 6727 
 
 574 
 
 526 
 
 8097 
 
 614 
 
 789 
 
 7352 
 
 535 
 
 395 
 
 7542 
 
 575 
 
 658 
 
 8855 
 
 615 
 
 0.80 921 
 
 8061 
 
 536 
 
 526 
 
 8349 
 
 576 
 
 789 
 
 879 606 
 
 616 
 
 0.81 053 
 
 8769 
 
 537 
 
 658 
 
 9161 
 
 577 
 
 0.75 921 
 
 880 362 
 
 617 
 
 184 
 
 909470 
 
 538 
 
 789 
 
 849 966 
 
 578 
 
 0.76 053 
 
 1 116 
 
 618 
 
 316 
 
 910 176 
 
 539 
 
 921 
 
 850 775 
 
 579 
 
 184 
 
 1864 
 
 619 
 
 447 
 
 0875 
 
TABLE XII (CONTINUED) 
 
 23 
 
 h 
 mm. 
 
 h 
 760 
 
 log 
 6 760 
 
 h 
 mm. 
 
 h 
 760 
 
 iogA 
 
 6 760 
 
 h 
 mm. 
 
 h 
 760 
 
 icgA 
 
 6 760 
 
 620 
 
 0.81 579 
 
 911 578 
 
 660 
 
 0.86 842 
 
 938 730 
 
 700 
 
 0.92 105 
 
 964 283 
 
 621 
 
 711 
 
 2281 
 
 661 
 
 0.86 974 
 
 939 389 
 
 701 
 
 237 
 
 4905 
 
 622 
 
 842 
 
 2976 
 
 662 
 
 0.87 105 
 
 940043 
 
 702 
 
 368 
 
 5522 
 
 623 
 
 0.81 974 
 
 3676 
 
 663 
 
 237 
 
 0701 
 
 703 
 
 500 
 
 6142 
 
 624 
 
 0.82 105 
 
 4370 
 
 664 
 
 368 
 
 1352 
 
 704 
 
 632 
 
 6761 
 
 625 
 
 237 
 
 5067 
 
 665 
 
 500 
 
 2008 
 
 705 
 
 763 
 
 7375 
 
 626 
 
 368 
 
 5759 
 
 666 
 
 632 
 
 2663 
 
 706 
 
 0.92 895 
 
 7992 
 
 627 
 
 500 
 
 6454 
 
 667 
 
 763 
 
 3312 
 
 707 
 
 0.93 026 
 
 8604 
 
 628 
 
 632 
 
 7148 
 
 668 
 
 0.87 895 
 
 3964 
 
 708 
 
 158 
 
 9220 
 
 629 
 
 763 
 
 7836 
 
 669 
 
 0.88026 
 
 4611 
 
 709 
 
 289 
 
 969 830 
 
 630 
 
 0.82 895 
 
 918528 
 
 670 
 
 O.SS 158 
 
 945 262 
 
 710 
 
 0.93 421 
 
 970 445 
 
 631 
 
 0.83 026 
 
 9214 
 
 671 
 
 289 
 
 5907 
 
 711 
 
 553 
 
 1058 
 
 632 
 
 158 
 
 919 904 
 
 672 
 
 421 
 
 6555 
 
 712 
 
 684 
 
 1665 
 
 633 
 
 289 
 
 920 588 
 
 673 
 
 553 
 
 7203 
 
 713 
 
 816 
 
 2277 
 
 634 
 
 421 
 
 1275 
 
 674 
 
 684 
 
 7845 
 
 714 
 
 0.93 947 
 
 2883 
 
 635 
 
 553 
 
 1962 
 
 675 
 
 816 
 
 8491 
 
 715 
 
 0.94 079 
 
 3493 
 
 636 
 
 684 
 
 2642 
 
 676 
 
 0.88 947 
 
 9131 
 
 716 
 
 211 
 
 4102 
 
 637 
 
 816 
 
 3327 
 
 677 
 
 0.89 079 
 
 949 775 
 
 717 
 
 342 
 
 4705 
 
 638 
 
 0.83 947 
 
 4005 
 
 678 
 
 211 
 
 950418 
 
 718 
 
 474 
 
 5312 
 
 639 
 
 0.84079 
 
 4688 
 
 679 
 
 342 
 
 1056 
 
 719 
 
 605 
 
 5914 
 
 640 
 
 0.84211 
 
 925 369 
 
 680 
 
 0.89 474 
 
 951 697 
 
 720 
 
 0.94 737 
 
 976 520 
 
 641 
 
 342 
 
 6044 
 
 681 
 
 605 
 
 2332 
 
 721 
 
 0.94 868 
 
 7120 
 
 642 
 
 474 
 
 6723 
 
 682 
 
 737 
 
 2972 
 
 722 
 
 0.95 000 
 
 7724 
 
 643 
 
 605 
 
 7396 
 
 683 
 
 0.89 868 
 
 3605 
 
 723 
 
 132 
 
 8327 
 
 644 
 
 737 
 
 8073 
 
 684 
 
 0.90000 
 
 4243 
 
 724 
 
 263 
 
 8924 
 
 645 
 
 0.84 868 
 
 8744 
 
 685 
 
 132 
 
 4879 
 
 725 
 
 394 
 
 979 521 
 
 646 
 
 0.85 000 
 
 929 419 
 
 686 
 
 263 
 
 5510 
 
 726 
 
 526 
 
 980 122 
 
 647 
 
 132 
 
 930 093 
 
 687 
 
 395 
 
 6144 
 
 727 
 
 658 
 
 0721 
 
 648 
 
 263 
 
 0761 
 
 688 
 
 526 
 
 6773 
 
 728 
 
 789 
 
 1316 
 
 649 
 
 395 
 
 1432 
 
 689 
 
 658 
 
 7406 
 
 729 
 
 0.95 921 
 
 1914 
 
 650 
 
 0.85 526 
 
 932 098 
 
 690 
 
 0.90 789 
 
 958 033 
 
 730 
 
 0.96 053 
 
 982511 
 
 651 
 
 658 
 
 2768 
 
 691 
 
 0.90921 
 
 8664 
 
 731 
 
 184 
 
 3103 
 
 652 
 
 790 
 
 3437 
 
 692 
 
 0.91 053 
 
 9294 
 
 732 
 
 316 
 
 3698 
 
 653 
 
 0.85 921 
 
 4099 
 
 693 
 
 184 
 
 959919 
 
 733 
 
 447 
 
 4289 
 
 654 
 
 0.86053 
 
 4766 
 
 694 
 
 316 
 
 960547 
 
 734 
 
 579 
 
 4883 
 
 655 
 
 184 
 
 5427 
 
 695 
 
 447 
 
 1 170 
 
 735 
 
 710 
 
 5471 
 
 656 
 
 316 
 
 6091 
 
 696 
 
 579 
 
 1796 
 
 '736 
 
 842 
 
 6064 
 
 657 
 
 447 
 
 6750 
 
 697 
 
 711 
 
 2421 
 
 737 
 
 0.96 974 
 
 6655 
 
 658 
 
 579 
 
 7413 
 
 698 
 
 842 
 
 3041 
 
 738 
 
 0.97 105 
 
 7242 
 
 659 
 
 711 
 
 8074 
 
 699 
 
 974 
 
 3665 
 
 739 
 
 237 
 
 7832 
 
24 
 
 TABLE XII (CONTINUED) 
 
 h 
 mm. 
 
 h 
 760 
 
 log 
 760 
 
 h 
 mm. 
 
 h 
 760 
 
 log 
 760 
 
 h 
 mm. 
 
 h 
 760 
 
 10g 4 
 
 740 
 
 0.97 368 
 
 988 416 
 
 780 
 
 1.02 632 
 
 Oil 283 
 
 820 
 
 1.07 895 
 
 033 001 
 
 741 
 
 500 
 
 9005 
 
 781 
 
 763 
 
 1837 
 
 821 
 
 1.08026 
 
 3529 
 
 742 
 
 632 
 
 989 592 
 
 782 
 
 1.02 895 
 
 2394 
 
 822 
 
 158 
 
 4059 
 
 743 
 
 763 
 
 990 175 
 
 783 
 
 1.03026 
 
 2947 
 
 823 
 
 289 
 
 4584 
 
 744 
 
 0.97 895 
 
 0761 
 
 784 
 
 158 
 
 3504 
 
 824 
 
 421 
 
 5 113 
 
 745 
 
 0.98 026 
 
 1341 
 
 785 
 
 289 
 
 4054 
 
 825 
 
 553 
 
 5642 
 
 746 
 
 158 
 
 1926 
 
 786 
 
 421 
 
 4609 
 
 826 
 
 684 
 
 6166 
 
 747 
 
 289 
 
 2505 
 
 787 
 
 553 
 
 5163 
 
 827 
 
 816 
 
 6693 
 
 748 
 
 421 
 
 3088 
 
 788 
 
 684 
 
 5712 
 
 828 
 
 1.08 947 
 
 7215 
 
 749 
 
 553 
 
 3670 
 
 789 
 
 816 
 
 6264 
 
 829 
 
 1.09 079 
 
 7741 
 
 750 
 
 0.98 684 
 
 994 247 
 
 790 
 
 1.03947 
 
 016812 
 
 830 
 
 1.09211 
 
 038 267 
 
 751 
 
 816 
 
 4827 
 
 791 
 
 1.04079 
 
 7363 
 
 831 
 
 342 
 
 8787 
 
 752 
 
 0.98 947 
 
 5403 
 
 792 
 
 211 
 
 7914 
 
 832 
 
 471 
 
 9299 
 
 753 
 
 0.99079 
 
 5982 
 
 793 
 
 342 
 
 8459 
 
 833 
 
 605 
 
 039 831 
 
 754 
 
 211 
 
 6560 
 
 794 
 
 474 
 
 9008 
 
 834 
 
 737 
 
 040 353 
 
 755 
 
 342 
 
 7133 
 
 795 
 
 605 
 
 019552 
 
 835 
 
 1.09 868 
 
 0871 
 
 756 
 
 474 
 
 7710 
 
 796 
 
 737 
 
 020 100 
 
 836 
 
 1.10000 
 
 1393 
 
 757 
 
 605 
 
 8281 
 
 797 
 
 1.04868 
 
 0643 
 
 837 
 
 132 
 
 1913 
 
 758 
 
 737 
 
 8856 
 
 798 
 
 1.05 000 
 
 1 189 
 
 838 
 
 263 
 
 2430 
 
 759 
 
 0.99 868 
 
 999 426 
 
 799 
 
 132 
 
 1 735 
 
 839 
 
 395 
 
 2949 
 
 760 
 
 1.00000 
 
 000000 
 
 800 
 
 1.05 263 
 
 022 276 
 
 
 
 
 761 
 
 1.00 132 
 
 0573 
 
 801 
 
 395 
 
 2820 
 
 
 
 
 762 
 
 263 
 
 1 141 
 
 802 
 
 526 
 
 3359 
 
 
 
 
 763 
 
 392 
 
 1699 
 
 803 
 
 658 
 
 3902 
 
 
 
 
 764 
 
 526 
 
 2278 
 
 804 
 
 789 
 
 4441 
 
 
 
 
 765 
 
 658 
 
 2848 
 
 805 
 
 1.05921 
 
 4982 
 
 
 
 
 766 
 
 789 
 
 3413 
 
 806 
 
 1.06053 
 
 5523 
 
 
 
 
 767 
 
 1.00 921 
 
 3982 
 
 807 
 
 184 
 
 6059 
 
 
 
 
 768 
 
 1.01 053 
 
 4549 
 
 808 
 
 316 
 
 6598 
 
 
 
 
 769 
 
 184 
 
 5112 
 
 809 
 
 447 
 
 7134 
 
 
 
 
 770 
 
 1.01316 
 
 005 678 
 
 810 
 
 1.06 579 
 
 027 672 
 
 
 
 
 771 
 
 447 
 
 6239 
 
 811 
 
 711 
 
 8209 
 
 
 
 
 772 
 
 579 
 
 6804 
 
 812 
 
 842 
 
 8742 
 
 
 
 
 773 
 
 710 
 
 7364 
 
 813 
 
 1.06974 
 
 9278 
 
 
 
 
 774 
 
 842 
 
 7927 
 
 814 
 
 1.07 105 
 
 029 809 
 
 
 
 
 775 
 
 1.01 974 
 
 8489 
 
 815 
 
 237 
 
 030 345 
 
 
 
 
 776 
 
 1.02 105 
 
 9047 
 
 816 
 
 368 
 
 0875 
 
 
 
 
 777 
 
 237 
 
 009 608 
 
 817 
 
 500 
 
 1408 
 
 
 
 
 778 
 
 368 
 
 010 164 
 
 818 
 
 632 
 
 1941 
 
 
 
 
 779 
 
 500 
 
 0724 
 
 819 
 
 763 
 
 2470 
 
 
 
 
TABLE XIII 
 
 25 
 
 REDUCTION OF THE VOLUME OF GASES TO 0C. 
 
 This table contains the logarithms of the values of 
 
 1 + 0.003670 1 
 
 where t to 149. 
 
 t 
 
 log 
 
 t 
 
 log 
 
 t 
 
 log 
 
 t 
 
 log 
 
 0.0 
 
 000000 
 
 4.0 
 
 993671 
 
 8.0 
 
 987433 
 
 12.0 
 
 981 284 
 
 0.1 
 
 999 839 
 
 4.1 
 
 3513 
 
 8.1 
 
 7277 
 
 12.1 
 
 1130 
 
 0.2 
 
 9683 
 
 4.2 
 
 3359 
 
 8.2 
 
 7 125 
 
 12.2 
 
 0980 
 
 0.3 
 
 9523 
 
 4.3 
 
 3200 
 
 8.3 
 
 6969 
 
 12.3 
 
 0826 
 
 0.4 
 
 9 362 
 
 4.4 
 
 3042 
 
 8.4 
 
 6813 
 
 12.4 
 
 0672 
 
 0.5 
 
 9202 
 
 4.5 
 
 2884 
 
 8.5 
 
 6657 
 
 12.5 
 
 0518 
 
 0.6 
 
 9 045 
 
 4.6 
 
 2730 
 
 8.6 
 
 6505 
 
 12.6 
 
 0368 
 
 0.7 
 
 8885 
 
 4.7 
 
 2572 
 
 8.7 
 
 6350 
 
 12.7 
 
 0215 
 
 0.8 
 
 8725 
 
 4.8 
 
 2414 
 
 8.8 
 
 6194 
 
 12.8 
 
 980062 
 
 0.9 
 
 8569 
 
 4.9 
 
 2260 
 
 8.9 
 
 6043 
 
 12.9 
 
 979 912 
 
 1.0 
 
 998 409 
 
 5.0 
 
 992 103 
 
 9.0 
 
 985 888 
 
 13.0 
 
 979 759 
 
 1.1 
 
 8249 
 
 5.1 
 
 1945 
 
 9.1 
 
 5732 
 
 13.1 
 
 9606 
 
 1.2 
 
 8093 
 
 5.2 
 
 1 792 
 
 9.2 
 
 5581 
 
 13.2 
 
 9457 
 
 1.3 
 
 7934 
 
 5.3 
 
 1634 
 
 9.3 
 
 5425 
 
 13.3 
 
 9304 
 
 1.4 
 
 7774 
 
 5.4 
 
 1477 
 
 9.4 
 
 5270 
 
 13.4 
 
 9150 
 
 1.5 
 
 7618 
 
 5.5 
 
 1323 
 
 9.5 
 
 5 119 
 
 13.5 
 
 9002 
 
 1.6 
 
 7458 
 
 5.6 
 
 1166 
 
 9.6 
 
 4963 
 
 13.6 
 
 8848 
 
 1.7 
 
 7304 
 
 5.7 
 
 1008 
 
 9.7 
 
 4808 
 
 13.7 
 
 8695 
 
 1.8 
 
 7137 
 
 5.8 
 
 0850 
 
 9.8 
 
 4 653 
 
 13.8 
 
 8542 
 
 1.9 
 
 6984 
 
 5.9 
 
 0697 
 
 9.9 
 
 4502 
 
 13.9 
 
 8393 
 
 2.0 
 
 996824 
 
 6.0 
 
 990540 
 
 10.0 
 
 984 347 
 
 14.0 
 
 978 240 
 
 2.1 
 
 6664 
 
 6.1 
 
 0383 
 
 10.1 
 
 4 192 
 
 14.1 
 
 8087 
 
 2.2 
 
 6509 
 
 6.2 
 
 0231 
 
 10.2 
 
 4041 
 
 14.2 
 
 7938 
 
 2.3 
 
 6350 
 
 6.3 
 
 990073 
 
 10.3 
 
 3887 
 
 14.3 
 
 7786 
 
 2.4 
 
 6191 
 
 6.4 
 
 989 916 
 
 10.4 
 
 3732 
 
 14.4 
 
 7634 
 
 2.5 
 
 6032 
 
 6.5 
 
 9759 
 
 10.5 
 
 3577 
 
 14.5 
 
 7481 
 
 2.6 
 
 5877 
 
 6.6 
 
 9607 
 
 10.6 
 
 3426 
 
 14.6 
 
 7333 
 
 2.7 
 
 5718 
 
 6.7 
 
 9450 
 
 10.7 
 
 3271 
 
 14.7 
 
 7180 
 
 2.8 
 
 5559 
 
 6.8 
 
 9293 
 
 10.8 
 
 3117 
 
 14.8 
 
 7028 
 
 2.9 
 
 5404 
 
 6.9 
 
 9141 
 
 10.9 
 
 2967 
 
 14.9 
 
 6880 
 
 3.0 
 
 995 244 
 
 7.0 
 
 988983 
 
 11.0 
 
 982 813 
 
 15.0 
 
 976 727 
 
 3.1 
 
 5086 
 
 7.1 
 
 8828 
 
 11.1 
 
 2658 
 
 15.1 
 
 6575 
 
 3.2 
 
 4931 
 
 7.2 
 
 8675 
 
 11.2 
 
 2507 
 
 15.2 
 
 6427 
 
 3.3 
 
 4772 
 
 7.3 
 
 8519 
 
 11.3 
 
 2353 
 
 15.3 
 
 6274 
 
 3.4 
 
 4614 
 
 7.4 
 
 8362 
 
 11.4 
 
 2199 
 
 15.4 
 
 6122 
 
 3.5 
 
 4459 
 
 7.5 
 
 8210 
 
 11.5 
 
 2049 
 
 15.5 
 
 5974 
 
 3.6 
 
 4301 
 
 7.6 
 
 8054 
 
 11.6 
 
 1895 
 
 15.6 
 
 5822 
 
 3.7 
 
 4142 
 
 7.7 
 
 7897 
 
 11.7 
 
 1 741 
 
 15.7 
 
 5665 
 
 3.8 
 
 3984 
 
 7.8 
 
 7741 
 
 11.8 
 
 1587 
 
 15.8 
 
 5517 
 
 3.9 
 
 3829 
 
 7.9 
 
 7588 
 
 11.9 
 
 1437 
 
 15.9 
 
 5370 
 
2(3 
 
 TABLE XIII (CONTINUED) 
 
 t 
 
 log 
 
 t 
 
 log 
 
 t 
 
 log 
 
 t 
 
 log 
 
 16.0 
 
 975 229 
 
 20.0 
 
 969 238 
 
 24.0 
 
 963 339 
 
 28.0 
 
 957519 
 
 16.1 
 
 5067 
 
 20.1 
 
 9089 
 
 24.1 
 
 3192 
 
 28.1 
 
 7373 
 
 16.2 
 
 4919 
 
 20.2 
 
 8943 
 
 24.2 
 
 3048 
 
 28.2 
 
 7236 
 
 16.3 
 
 4768 
 
 20.3 
 
 8794 
 
 24.3 
 
 2900 
 
 28.3 
 
 7095 
 
 16.4 
 
 4616 
 
 20.4 
 
 8644 
 
 24.4 
 
 2753 
 
 28.4 
 
 6941 
 
 16.5 
 
 4465 
 
 20.5 
 
 8495 
 
 24.5 
 
 2606 
 
 28.5 
 
 6795 
 
 16.6 
 
 4318 
 
 20.6 
 
 8350 
 
 24.6 
 
 2462 
 
 28.6 
 
 6654 
 
 16.7 
 
 4166 
 
 20.7 
 
 8200 
 
 24.7 
 
 2315 
 
 28.7 
 
 6508 
 
 16.8 
 
 4015 
 
 20.8 
 
 8051 
 
 24.8 
 
 2167 
 
 288 
 
 6363 
 
 16.9 
 
 3867 
 
 20.9 
 
 7905 
 
 24.9 
 
 2024 
 
 28.9 
 
 6221 
 
 17.0 
 
 973 717 
 
 21.0 
 
 967 756 
 
 25.0 
 
 961 876 
 
 29.0 
 
 956 076 
 
 17.1 
 
 3565 
 
 21.1 
 
 7606 
 
 25.1 
 
 1 729 
 
 29.1 
 
 5931 
 
 17.2 
 
 3418 
 
 21.2 
 
 7461 
 
 25.2 
 
 1586 
 
 29.2 
 
 5789 
 
 17.3 
 
 3267 
 
 21.3 
 
 7313 
 
 25.3 
 
 1440 
 
 29.3 
 
 5644 
 
 17.4 
 
 3116 
 
 21.4 
 
 7164 
 
 25.4 
 
 1293 
 
 29.4 
 
 5499 
 
 17.5 
 
 2968 
 
 21.5 
 
 7019 
 
 25.5 
 
 1 150 
 
 29.5 
 
 5358 
 
 17.6 
 
 2817 
 
 21.6 
 
 6870 
 
 25.6 
 
 1003 
 
 29.6 
 
 5213 
 
 17.7 
 
 2666 
 
 21.7 
 
 6721 
 
 25.7 
 
 0856 
 
 29.7 
 
 5068 
 
 17.8 
 
 2516 
 
 21.8 
 
 6572 
 
 25.8 
 
 0709 
 
 29.8 
 
 4923 
 
 17.9 
 
 2369 
 
 21.9 
 
 6427 
 
 25.9 
 
 0566 
 
 29.9 
 
 4783 
 
 18.0 
 
 972 219 
 
 22.0 
 
 966 279 
 
 26.0 
 
 960419 
 
 30.0 
 
 954 638 
 
 18.1 
 
 2068 
 
 22.1 
 
 6130 
 
 26.1 
 
 0272 
 
 30.1 
 
 4493 
 
 18.2 
 
 1922 
 
 22.2 
 
 5986 
 
 26.2 
 
 960 130 
 
 30.2 
 
 4353 
 
 18.3 
 
 1771 
 
 22.3 
 
 5837 
 
 26.3 
 
 959 983 
 
 30.3 
 
 4208 
 
 18.4 
 
 1620 
 
 22.4 
 
 5689 
 
 26.4 
 
 9837 ' 
 
 30.4 
 
 4063 
 
 18.5 
 
 1470 
 
 22.5 
 
 5541 
 
 26.5 
 
 9690 
 
 30.5 
 
 3918 
 
 18.6 
 
 1323 
 
 22.6 
 
 5396 
 
 26.6 
 
 9548 
 
 30.6 
 
 3778 
 
 18.7 
 
 1173 
 
 22.7 
 
 5248 
 
 26.7 
 
 9402 
 
 30.7 
 
 3634 
 
 18.8 
 
 1022 
 
 22.8 
 
 5099 
 
 26.8 
 
 9255 
 
 30.8 
 
 3489 
 
 18.9 
 
 0876 
 
 22.9 
 
 4955 
 
 26.9 
 
 9113 
 
 30.9 
 
 3349 
 
 19.0 
 
 970 726 
 
 23.0 
 
 964 807 
 
 27.0 
 
 958 966 
 
 31.0 
 
 953 205 
 
 19.1 
 
 0575 
 
 23.1 
 
 4658 
 
 27.1 
 
 8820 
 
 31.1 
 
 3060 
 
 19.2 
 
 0430 
 
 23.2 
 
 4514 
 
 27.2 
 
 8678 
 
 31.2 
 
 2920 
 
 19.3 
 
 0280 
 
 23.3 
 
 4366 
 
 27.3 
 
 8532 
 
 31.3 
 
 2776 
 
 19.4 
 
 970 130 
 
 23.4 
 
 4218 
 
 27.4 
 
 8387 
 
 31.4 
 
 2632 
 
 19.5 
 
 969 981 
 
 23.5 
 
 4074 
 
 27.5 
 
 8245 
 
 31.5 
 
 2492 
 
 19.6 
 
 9829 
 
 23.6 
 
 3926 
 
 27.6 
 
 8099 
 
 31.6 
 
 2348 
 
 197 
 
 9682 
 
 28.7 
 
 3778 
 
 27.7 
 
 7953 
 
 31.7 
 
 2204 
 
 19.8 
 
 9534 
 
 23.8 
 
 3630 
 
 27.8 
 
 7806 
 
 31.8 
 
 2060 
 
 19.9 
 
 9388 
 
 23.9 
 
 3487 
 
 27.9 
 
 7664 
 
 31.9 
 
 1920 
 
TABLE XIII (CONTINUED) 
 
 27 
 
 t 
 
 log 
 
 t 
 
 log 
 
 t 
 
 log 
 
 t 
 
 log 
 
 32.0 
 
 951 776 
 
 35 
 
 947518 
 
 70 
 
 900700 
 
 110 
 
 852 726 
 
 32.1 
 
 1632 
 
 36 
 
 6114 
 
 71 
 
 899 433 
 
 111 
 
 1592 
 
 32.2 
 
 1492 
 
 37 
 
 4702 
 
 72 
 
 8170 
 
 112 
 
 850 461 
 
 32.3 
 
 1349 
 
 38 
 
 3303 
 
 73 
 
 6912 
 
 113 
 
 849 333 
 
 32.4 
 
 1205 
 
 39 
 
 1905 
 
 74 
 
 5656 
 
 114 
 
 8208 
 
 32.5 
 
 1061 
 
 
 
 75 
 
 4405 
 
 115 
 
 7085 
 
 32.6 
 
 0922 
 
 
 
 76 
 
 3156 
 
 116 
 
 5965 
 
 32.7 
 
 0778 
 
 
 
 77 
 
 1912 
 
 117 
 
 4849 
 
 32.8 
 
 0635 
 
 
 
 78 
 
 0671 
 
 118 
 
 3736 
 
 32.9 
 
 0495 
 
 
 
 79 
 
 889 434 
 
 119 
 
 2625 
 
 33.0 
 
 950351 
 
 40 
 
 940513 
 
 80 
 
 888 200 
 
 120 
 
 841 517 
 
 33.1 
 
 0208 
 
 41 
 
 939 125 
 
 81 
 
 6970 
 
 121 
 
 840412 
 
 33.2 
 
 950 069 
 
 42 
 
 7741 
 
 82 
 
 5743 
 
 122 
 
 839 309 
 
 33.3 
 
 949 926 
 
 43 
 
 6363 
 
 83 
 
 4519 
 
 123 
 
 8210 
 
 33.4 
 
 9783 
 
 44 
 
 4988 
 
 84 
 
 3 299 
 
 124 
 
 7113 
 
 33.5 
 
 9643 
 
 45 
 
 3618 
 
 85 
 
 2083 
 
 125 
 
 6019 
 
 33.6 
 
 9500 
 
 46 
 
 2252 
 
 86 
 
 880 869 
 
 126 
 
 4928 
 
 33.7 
 
 9358 
 
 47 
 
 930 891 
 
 87 
 
 879 660 
 
 127 
 
 3839 
 
 33.8 
 
 9215 
 
 48 
 
 9 534 
 
 88 
 
 8453 
 
 128 
 
 2754 
 
 33.9 
 
 9075 
 
 49 
 
 8181 
 
 89 
 
 7250 
 
 129 
 
 1671 
 
 34.0 
 
 948 932 
 
 50 
 
 926832 
 
 90 
 
 876 050 
 
 130 
 
 830 591 
 
 
 
 51 
 
 5487 
 
 91 
 
 4854 
 
 131 
 
 829513 
 
 
 
 52 
 
 4147 
 
 92 
 
 3661 
 
 132 
 
 8438 
 
 
 
 53 
 
 2810 
 
 93 
 
 2471 
 
 133 
 
 7365 
 
 
 
 54 
 
 1478 
 
 94 
 
 1284 
 
 134 
 
 6295 
 
 
 
 55 
 
 920150 
 
 95 
 
 870 101 
 
 135 
 
 5228 
 
 
 
 56' 
 
 918 826 
 
 96 
 
 868 920 
 
 136 
 
 4164 
 
 
 
 57 
 
 7506 
 
 97 
 
 7743 
 
 137 
 
 3102 
 
 
 
 58 
 
 6189 
 
 98 
 
 6570 
 
 138 
 
 2043 
 
 
 
 59 
 
 4877 
 
 99 
 
 5399 
 
 139 
 
 820 986 
 
 
 
 60 
 
 913 569 
 
 100 
 
 864 231 
 
 140 
 
 819932 
 
 
 
 61 
 
 2265 
 
 101 
 
 3067 
 
 141 
 
 8880 
 
 
 
 62 
 
 910964 
 
 102 
 
 1906 
 
 142 
 
 7831 
 
 
 
 63 
 
 909 668 
 
 103 
 
 860 748 
 
 143 
 
 6784 
 
 
 
 64 
 
 8375 
 
 104 
 
 859 593 
 
 144 
 
 5741 
 
 
 
 65 
 
 7087 
 
 105 
 
 8441 
 
 145 
 
 4699 
 
 
 
 66 
 
 5801 
 
 106 
 
 7292 
 
 146 
 
 3660 
 
 
 
 67 
 
 4520 
 
 107 
 
 6146 
 
 147 
 
 2623 
 
 
 
 68 
 
 3243 
 
 108 
 
 5003 
 
 148 
 
 1589 
 
 
 
 69 
 
 1969 
 
 109 
 
 3863 
 
 149 
 
 0558 
 
28 
 
 TABLE XIV 
 
 REDUCTION OF THE VOLUME OF GASES SATURATED WITH AQUEOUS 
 VAPOR TO 0, NORMAL PRESSURE, AND DRY 
 
 (1 + 0.003070^)700 
 
 (V is the volume of the gas, p the uncorrected barometric pressure read on a glass or 
 wooden scale, p barometric pressure corrected for temperature, h the maximum tension 
 of aqueous vapor, t the temperature. This table contains the logarithms of 
 
 (1 + 0.008670*) 760 
 
 where p varies from 730 to 780 and t from 12 to 24.) 
 
 (Landolt-Bornstein) 
 
 t 
 
 p=730 
 
 log 
 
 Differ- 
 ence 
 for 
 10mm. 
 
 p = 740 
 
 log 
 
 Differ- 
 ence 
 for 
 10mm. 
 
 p=750 
 log 
 
 Differ- 
 ence 
 for 
 10mm. 
 
 p=760 
 log 
 
 Differ- 
 ence 
 for 
 10mm. 
 
 p=770 
 log 
 
 Differ- 
 ence 
 for 
 10mm. 
 
 p = 780 
 log 
 
 12.0 
 
 95663 
 
 599 
 
 96262 
 
 591 
 
 96 853 
 
 584 
 
 97437 
 
 575 
 
 98012 
 
 568 
 
 98 580 
 
 12.2 
 
 622 
 
 600 
 
 222 
 
 591 
 
 813 
 
 583 
 
 396 
 
 576 
 
 97972 
 
 568 
 
 540 
 
 12.4 
 
 582 
 
 599 
 
 181 
 
 592 
 
 773 
 
 583 
 
 356 
 
 576 
 
 932 
 
 568 
 
 500 
 
 12.6 
 
 541 
 
 600 
 
 141 
 
 592 
 
 733 
 
 583 
 
 316 
 
 576 
 
 892 
 
 568 
 
 460 
 
 12.8 
 
 501 
 
 599 
 
 100 
 
 592 
 
 692 
 
 584 
 
 276 
 
 576 
 
 852 
 
 568 
 
 420 
 
 13.0 
 
 95460 
 
 600 
 
 96060 
 
 592 
 
 96652 
 
 584 
 
 97236 
 
 ' 576 
 
 97812 
 
 568 
 
 98380 
 
 13.2 
 
 419 
 
 600 
 
 96019 
 
 592 
 
 611 
 
 584 
 
 195 
 
 576 
 
 771 
 
 569 
 
 340 
 
 13.4 
 
 378 
 
 601 
 
 95979 
 
 592 
 
 571 
 
 584 
 
 155 
 
 576 
 
 731 
 
 569 
 
 300 
 
 13.6 
 
 337 
 
 601 
 
 938 
 
 592 
 
 530 
 
 584 
 
 114 
 
 577 
 
 691 
 
 568 
 
 259 
 
 13.8 
 
 296 
 
 601 
 
 897 
 
 592 
 
 489 
 
 584 
 
 073 
 
 577 
 
 650 
 
 569 
 
 219 
 
 14.0 
 
 95 256 
 
 600 
 
 95856 
 
 592 
 
 96448 
 
 585 
 
 97033 
 
 576 
 
 97609 
 
 570 
 
 98179 
 
 14.2 
 
 214 
 
 601 
 
 815 
 
 592 
 
 407 
 
 585 
 
 96992 
 
 577 
 
 569 
 
 569 
 
 138 
 
 14.4 
 
 173 
 
 601 
 
 774 
 
 592 
 
 366 
 
 585 
 
 951 
 
 577 
 
 528 
 
 569 
 
 097 
 
 14.6 
 
 131 
 
 601 
 
 732 
 
 593 
 
 325 
 
 585 
 
 910 
 
 577 
 
 487 
 
 570 
 
 057 
 
 14.8 
 
 090 
 
 601 
 
 691 
 
 593 
 
 284 
 
 585 
 
 869 
 
 577 
 
 446 
 
 570 
 
 016 
 
 15.0 
 
 95048 
 
 602 
 
 95650 
 
 593 
 
 96243 
 
 585 
 
 96828 
 
 577 
 
 97405 
 
 570 
 
 97 975 . 
 
 15.2 
 
 95007 
 
 601 
 
 608 
 
 593 
 
 201 
 
 585 
 
 786 
 
 578 
 
 364 
 
 570 
 
 934 
 
 15.4 
 
 94965 
 
 601 
 
 566 
 
 594 
 
 160 
 
 585 
 
 745 
 
 578 
 
 323 
 
 570 
 
 893 
 
 15.6 
 
 923 
 
 602 
 
 525 
 
 593 
 
 118 
 
 586 
 
 704 
 
 577 
 
 281 
 
 570 
 
 851 
 
 15.8 
 
 881 
 
 602 
 
 483 
 
 594 
 
 077 
 
 585 
 
 662 
 
 578 
 
 240 
 
 570 
 
 810 
 
 16.0 
 
 94839 
 
 602 
 
 95441 
 
 594 
 
 96035 
 
 585 
 
 96620 
 
 578 
 
 97198 
 
 571 
 
 97 769 
 
 16.2 
 
 797 
 
 602 
 
 399 
 
 594 
 
 95993 
 
 586 
 
 579 
 
 578 
 
 157 
 
 570 
 
 727 
 
 16.4 
 
 755 
 
 602 
 
 357 
 
 594 
 
 951 
 
 586 
 
 537 
 
 578 
 
 115 
 
 571 
 
 686 
 
 16.6 
 
 712 
 
 603 
 
 315 
 
 594 
 
 909 
 
 586 
 
 495 
 
 578 
 
 073 
 
 571 
 
 644 
 
 16.8 
 
 670 
 
 602 
 
 272 
 
 595 
 
 867 
 
 586 
 
 453 
 
 579 
 
 032 
 
 570 
 
 602 
 
TABLE XIV (CONTINUED) 
 
 29 
 
 t 
 
 p = 730 
 
 log 
 
 Differ- 
 ence 
 for 
 10mm. 
 
 p = 740 
 
 log 
 
 Differ- 
 ence 
 for 
 10mm. 
 
 p = 750 
 
 log 
 
 Differ- 
 ence 
 for 
 10mm. 
 
 p = 760 
 
 log 
 
 Differ- 
 ence 
 for 
 10mm. 
 
 p = 770 
 log 
 
 Differ- 
 ence 
 for 
 10mm. 
 
 p = 780 
 log 
 
 17.0 
 
 94627 
 
 603 
 
 95230 
 
 594 
 
 95824 
 
 587 
 
 96411 
 
 579 
 
 96990 
 
 571 
 
 97561 
 
 17.2 
 
 585 
 
 602 
 
 187 
 
 595 
 
 782 
 
 587 
 
 369 
 
 578 
 
 947 
 
 572 
 
 519 
 
 17.4 
 
 542 
 
 603 
 
 145 
 
 595 
 
 740 
 
 586 
 
 326 
 
 579 
 
 905 
 
 572 
 
 477 
 
 17.6 
 
 499 
 
 603 
 
 102 
 
 595 
 
 697 
 
 587 
 
 284 
 
 579 
 
 863 
 
 571 
 
 434 
 
 17.8 
 
 456 
 
 603 
 
 059 
 
 595 
 
 654 
 
 587 
 
 241 
 
 580 
 
 821 
 
 571 
 
 392 
 
 18.0 
 
 94413 
 
 603 
 
 95 016 
 
 596 
 
 95612 
 
 587 
 
 96 199 
 
 579 
 
 96778 
 
 572 
 
 97 350 
 
 18.2 
 
 370 
 
 603 
 
 94973 
 
 596 
 
 569 
 
 587 
 
 156 
 
 580 
 
 736 
 
 571 
 
 307 
 
 18.4 
 
 326 
 
 604 
 
 930 
 
 596 
 
 526 
 
 587 
 
 113 
 
 580 
 
 693 
 
 572 
 
 265 
 
 18.6 
 
 283 
 
 604 
 
 887 
 
 596 
 
 483 
 
 587 
 
 070 
 
 580 
 
 650 
 
 572 
 
 222 
 
 18.8 
 
 239 
 
 604 
 
 843 
 
 596 
 
 439 
 
 588 
 
 027 
 
 580 
 
 607 
 
 573 
 
 180 
 
 19.0 
 
 94196 
 
 604 
 
 94800 
 
 596 
 
 95396 
 
 588 
 
 95984 
 
 580 
 
 96564 
 
 573 
 
 97137 
 
 19.2 
 
 152 
 
 604 
 
 756 
 
 597 
 
 353 
 
 588 
 
 941 
 
 580 
 
 521 
 
 573 
 
 094 
 
 19.4 
 
 108 
 
 605 
 
 713 
 
 596 
 
 309 
 
 588 
 
 897 
 
 581 
 
 478 
 
 573 
 
 051 
 
 19.6 
 
 064 
 
 605 
 
 669 
 
 596 
 
 265 
 
 589 
 
 854 
 
 580 
 
 434 
 
 573 
 
 97007 
 
 19.8 
 
 020 
 
 605 
 
 625 
 
 596 
 
 221 
 
 589 
 
 810 
 
 581 
 
 391 
 
 573 
 
 96964 
 
 20.0 
 
 93975 
 
 606 
 
 94 581 
 
 597 
 
 95178 
 
 588 
 
 95766 
 
 581 
 
 96347 
 
 574 
 
 96921 
 
 20.2 
 
 931 
 
 605 
 
 536 
 
 597 
 
 133 
 
 589 
 
 722 
 
 582 
 
 304 
 
 573 
 
 877 
 
 20.4 
 
 886 
 
 606 
 
 492 
 
 597 
 
 089 
 
 589 
 
 678 
 
 582 
 
 260 
 
 573 
 
 833 
 
 20.6 
 
 842 
 
 606 
 
 448 
 
 597 
 
 045 
 
 589 
 
 634 
 
 582 
 
 216 
 
 574 
 
 790 
 
 20.8 
 
 797 
 
 606 
 
 403 
 
 598 
 
 001 
 
 589 
 
 590 
 
 582 
 
 172 
 
 574 
 
 746 
 
 21.0 
 
 93752 
 
 606 
 
 94358 
 
 598 
 
 94 956 
 
 590 
 
 95546 
 
 581 
 
 96127 
 
 575 
 
 96702 
 
 21.2 
 
 707 
 
 606 
 
 313 
 
 598 
 
 911 
 
 590 
 
 501 
 
 582 
 
 083 
 
 574 
 
 .657 
 
 21.4 
 
 662 
 
 606 
 
 268 
 
 598 
 
 866 
 
 591 
 
 457 
 
 582 
 
 96039 
 
 574 
 
 613 
 
 21.6 
 
 616 
 
 607 
 
 223 
 
 598 
 
 821 
 
 591 
 
 412 
 
 582 
 
 95994 
 
 575 
 
 569 
 
 21.8 
 
 571 
 
 607 
 
 178 
 
 598 
 
 776 
 
 591 
 
 367 
 
 582 
 
 949 
 
 575 
 
 524 
 
 22.0 
 
 93 525 
 
 607 
 
 94132 
 
 599 
 
 94 731 
 
 591 
 
 95322 
 
 583 
 
 95 905 
 
 575 
 
 96480 
 
 22.2 
 
 479 
 
 608 
 
 087 
 
 599 
 
 686 
 
 591 
 
 277 
 
 583 
 
 860 
 
 575 
 
 435 
 
 22.4 
 
 433 
 
 608 
 
 94041 
 
 599 
 
 640 
 
 591 
 
 231 
 
 583 
 
 814 
 
 576 
 
 390 
 
 22.6 
 
 387 
 
 608 
 
 93 995 
 
 600 
 
 595 
 
 591 
 
 186 
 
 583 
 
 769 
 
 576 
 
 345 
 
 22.8 
 
 341 
 
 60S 
 
 949 
 
 600 
 
 549 
 
 591 
 
 140 
 
 584 
 
 724 
 
 575 
 
 299 
 
 23.0 
 
 93295 
 
 608 
 
 93903 
 
 600 
 
 94503 
 
 591 
 
 95094 
 
 584 
 
 95678 
 
 576 
 
 96254 
 
 23.2 
 
 248 
 
 609 
 
 857 
 
 600 
 
 457 
 
 592 
 
 049 
 
 583 
 
 632 
 
 577 
 
 209 
 
 23.4 
 
 202 
 
 608 
 
 810 
 
 601 
 
 411 
 
 592 
 
 95003 
 
 584 
 
 587 
 
 576 
 
 163 
 
 23.6 
 
 155 
 
 609 
 
 764 
 
 600 
 
 364 
 
 592 
 
 94956 
 
 585 
 
 541 
 
 576 
 
 117 
 
 23.8 
 
 108 
 
 609 
 
 717 
 
 601 
 
 318 
 
 592 
 
 910 
 
 585 
 
 495 
 
 576 
 
 071 
 
 24.0 
 
 93061 
 
 609 
 
 93670 
 
 601 
 
 94271 
 
 593 
 
 94864 
 
 584 
 
 95448 
 
 577 
 
 96025 
 
30 
 
 TABLE X\ 7 
 
 OBSERVED DENSITY AND THE WEIGHT OF A LITER OF SOME COMMON 
 
 GASES UNDER THE FOLLOWING CONDITIONS : AND 760 MM. PRESSURE 
 
 AT SEA LEVEL AND 45 LATITUDE. AIR = 1 
 
 Substance 
 
 Density 
 
 Wt. 1 liter 
 in grams 
 at sea level 
 and 45 lat. 
 
 log 
 
 Observer 
 
 Acetylene 
 
 0.92 
 
 1.1620 
 
 065 206 
 
 Berthelot 
 
 Air 
 
 1.00 
 
 1.2928 
 
 111532 
 
 Leduc "1 Mean 
 Lord Rayleigh J value 
 
 Ammonia 
 
 0.5971 
 
 0.7621 
 
 882 012 
 
 Leduc 
 
 Argon 
 
 1.379 
 
 1.782 
 
 250 908 
 
 Ramsay and Travers 
 
 Bromine 
 
 f 5.5243 1 
 \ at 227.92 J 
 
 7.1426 
 
 853 856 
 
 Jahn 
 
 Carbon dioxide 
 
 1.52909 
 
 1.9652 
 
 293 407 
 
 Lord Rayleigh 
 
 Carbon monoxide 
 
 0.96716 
 
 1.2506 
 
 097 118 
 
 Lord Rayleigh 
 
 Chlorine 
 
 2.491 
 
 3.1666 
 
 500 593 
 
 Leduc 
 
 Ethane 
 
 1.075 
 
 1.3421 
 
 127 785 
 
 Kolbe 
 
 Ethylene 
 
 0.9852 
 
 1.2520 
 
 097 604 
 
 Saussure 
 
 Hydrogen 
 
 0.06926 
 
 0.09004 
 
 954435 
 
 Regnault 
 
 Hydrogen sulphide 
 
 1.1895 
 
 1.5230 
 
 182700 
 
 Leduc 
 
 Hydrobromic acid 
 
 2.71 
 
 3.6163 
 
 558 265 
 
 Lowig 
 
 Hydrochloric acid 
 
 1.2692 
 
 1.6283 
 
 211 734 
 
 Leduc 
 
 Hydriodic acid 
 
 4.3757 
 
 5.7106 
 
 756 682 
 
 Thomson 
 
 Methane 
 
 0.5576 
 
 0.7160 
 
 854 913 
 
 Thomson 
 
 Methyl ether 
 
 1.617 
 
 2.0567 
 
 313171 
 
 Dumas and Peligot 
 
 Nitrogen 
 
 0.96737 
 
 1.2542 
 
 098 367 
 
 Lord Rayleigh 
 
 Nitrogen dioxide 
 
 1.0372 
 
 1.3417 
 
 127 655 
 
 Leduc 
 
 Nitrogen monoxide 
 
 1.5301 
 
 1.9688 
 
 294 202 
 
 Leduc 
 
 Oxygen 
 
 1.10535 
 
 1.4292 
 
 155 093 
 
 Lord Rayleigh 
 
 Sulphur dioxide 
 
 2.2639 
 
 2.8611 
 
 456 533 
 
 Leduc 
 
TABLE XVI 
 
 31 
 
 DENSITY OF DRY ATMOSPHERIC AIR AT 760 MM. PRESSURE AND 
 TEMPERATURES RANGING FROM TO 35 
 
 Values of d t . rfi0 = 
 
 .0012928 \ 
 1 + .003670 1) 
 
 t 
 
 dt, 760 
 
 log 
 
 t 
 
 dt, 760 
 
 log 
 
 t 
 
 dt, 760 
 
 log 
 
 0.0 
 
 0.0 012 928 
 
 111531 
 
 4.0 
 
 0.0012741 
 
 105 204' 
 
 8.0 
 
 0.0012559 
 
 098 955 
 
 0.1 
 
 12923 
 
 1363 
 
 4.1 
 
 12736 
 
 5033 
 
 8.1 
 
 12 555 
 
 8817 
 
 0.2 
 
 12919 
 
 1229 
 
 4.2 
 
 12732 
 
 4897 
 
 8.2 
 
 12550 
 
 8644 
 
 0.3 
 
 12914 
 
 1061 
 
 4.3 
 
 12728 
 
 4760 
 
 8.3 
 
 12 546 
 
 8505 
 
 0.4 
 
 12909 
 
 0893 
 
 4.4 
 
 12723 
 
 4590 
 
 8.4 
 
 12541 
 
 8332 
 
 0.5 
 
 12904 
 
 0724 
 
 4.5 
 
 12 718 
 
 4419 
 
 8.5 
 
 12537 
 
 8194 
 
 0.6 
 
 12900 
 
 0590 
 
 4.6 
 
 12713 
 
 4248 
 
 8.6 
 
 12532 
 
 8020 
 
 0.7 
 
 12895 
 
 0421 
 
 4.7 
 
 12709 
 
 4111 
 
 8.7 
 
 12528 
 
 7882 
 
 0.8 
 
 12890 
 
 0253 
 
 4.8 
 
 12704 
 
 3941 
 
 8.8 
 
 12524 
 
 7743 
 
 0.9 
 
 12885 
 
 110084 
 
 4.9 
 
 12700 
 
 3804 
 
 8.9 
 
 12519 
 
 7570 
 
 1.0 
 
 0.0 012 SSI 
 
 109 950 
 
 5.0 
 
 0.0012695 
 
 103 633 
 
 9.0 
 
 0.0012515 
 
 097431 
 
 1.1 
 
 12876 
 
 9781 
 
 5.1 
 
 12690 
 
 3462 
 
 9.1 
 
 12511 
 
 7292 
 
 1.2 
 
 12871 
 
 9612 
 
 5.2 
 
 12686 
 
 3325 
 
 9.2 
 
 12506 
 
 7118 
 
 1.3 
 
 12867 
 
 9477 
 
 5.3 
 
 12681 
 
 3154 
 
 9.3 
 
 12501 
 
 6945 
 
 1.4 
 
 12862 
 
 9309 
 
 5.4 
 
 12677 
 
 3017 
 
 9.4 
 
 12497 
 
 6806 
 
 1.5 
 
 12857 
 
 9140 
 
 5.5 
 
 12672 
 
 2845 
 
 9.5 
 
 12492 
 
 6632 
 
 1.6 
 
 12853 
 
 9005 
 
 5.6 
 
 12 668 
 
 2708 
 
 9.6 
 
 12488 
 
 6493 
 
 1.7 
 
 12848 
 
 8 836 
 
 5.7 
 
 12663 
 
 2537 
 
 9.7 
 
 12484 
 
 6354 
 
 1.8 
 
 12843 
 
 S667 
 
 5.8 
 
 12659 
 
 2399 
 
 9.8 
 
 12479 
 
 6180 
 
 1.9 
 
 12 838 
 
 8497 
 
 5.9 
 
 12654 
 
 2228 
 
 9.9 
 
 12475 
 
 6041 
 
 2.0 
 
 0.0012834 
 
 108 362 
 
 6.0 
 
 0.0 012 649 
 
 102 056 
 
 10.0 
 
 0.0012470 
 
 095867 
 
 2.1 
 
 12829 
 
 8193 
 
 6.1 
 
 12645 
 
 1919 
 
 10.1 
 
 12466 
 
 5727 
 
 2.2 
 
 12824 
 
 S024 
 
 6.2 
 
 12640 
 
 1747 
 
 10.2 
 
 12462 
 
 5588 
 
 2.3 
 
 12820 
 
 7888 
 
 6.3 
 
 12636 
 
 1610 
 
 10.3 
 
 12457 
 
 5414 
 
 2.4 
 
 12815 
 
 7719 
 
 6.4 
 
 12631 
 
 1438 
 
 10.4 
 
 12453 
 
 5274 
 
 2.5 
 
 12 810. 
 
 7549 
 
 6.5 
 
 12627 
 
 1300 
 
 10.5 
 
 12448 
 
 5 100 
 
 2.6 
 
 12806 
 
 7414 
 
 6.6 
 
 12622 
 
 1 128 
 
 10.6 
 
 12444 
 
 4960 
 
 2.7 
 
 12801 
 
 7244 
 
 6.7 
 
 12618 
 
 0991 
 
 10.7 
 
 12440 
 
 4820 
 
 2.8 
 
 12797 
 
 7108 
 
 6.8 
 
 12613 
 
 0818 
 
 10.8 
 
 12435 
 
 4646 
 
 2.9 
 
 12792 
 
 6939 
 
 6.9 
 
 12609 
 
 0681 
 
 10.9 
 
 12431 
 
 4506 
 
 3.0 
 
 0.0 012 787 
 
 106 769 
 
 7.0 
 
 0.0012604 
 
 100 508 
 
 11.0 
 
 0.0 012 426 
 
 094331 
 
 3.1 
 
 12783 
 
 6633 
 
 7.1 
 
 12600 
 
 0371 
 
 11.1 
 
 12422 
 
 4192 
 
 3.2 
 
 12778 
 
 6463 
 
 7.2 
 
 12595 
 
 0198 
 
 11.2 
 
 12418 
 
 4052 
 
 3.3 
 
 12773 
 
 6293 
 
 7.3 
 
 12591 
 
 100060 
 
 11.3 
 
 12413 
 
 3877 
 
 3.4 
 
 12769 
 
 6157 
 
 7.4 
 
 12586 
 
 099 888 
 
 11.4 
 
 12409 
 
 3737 
 
 3.5 
 
 12764 
 
 5987 
 
 7.5 
 
 12582 
 
 9750 
 
 11.5 
 
 12404 
 
 3562 
 
 3.6 
 
 12759 
 
 5817 
 
 7.6 
 
 12577 
 
 9577 
 
 11.6 
 
 12400 
 
 3422- 
 
 3.7 
 
 12755 
 
 5681 
 
 7.7 
 
 12573 
 
 9439 
 
 11.7 
 
 12396 
 
 3282 
 
 3.8 
 
 12750 
 
 5510 
 
 7.8 
 
 12 568 
 
 9266 
 
 11.8 
 
 12391 
 
 3106 
 
 3.9 
 
 12746 
 
 5374 
 
 7.9 
 
 12564 
 
 9128 
 
 11.9 
 
 12387 
 
 2966 
 
32 
 
 TABLE XVI (CONTINUED) 
 
 t 
 
 dt, 760 
 
 log 
 
 t 
 
 dt, 760 
 
 log 
 
 t 
 
 dt> 760 
 
 log 
 
 12.0 
 
 0.0012383 
 
 092 826 
 
 16.0 
 
 0.0012211 
 
 086751 
 
 20.0 
 
 0.0012044 
 
 080 770 
 
 12.1 
 
 12378 
 
 2651 
 
 16.1 
 
 12207 
 
 6609 
 
 20.1 
 
 12040 
 
 0627 
 
 12.2 
 
 12374 
 
 2510 
 
 16.2 
 
 12203 
 
 6467 
 
 20.2 
 
 12036 
 
 0482 
 
 12.3 
 
 12370 
 
 2370 
 
 16.3 
 
 12198 
 
 6289 
 
 20.3 
 
 12032 
 
 0338 
 
 12.4 
 
 12365 
 
 2194 
 
 16.4 
 
 12194 
 
 6146 
 
 20.4 
 
 12028 
 
 0193 
 
 12.5 
 
 12361 
 
 2054 
 
 16.5 
 
 12190 
 
 6004 
 
 20.5 
 
 12023 
 
 080 013 
 
 12.6 
 
 12357 
 
 1913 
 
 16.6 
 
 12186 
 
 5861 
 
 20.6 
 
 12019 
 
 079 868 
 
 12.7 
 
 12352 
 
 1737 
 
 16.7 
 
 12181 
 
 5683 
 
 20.7 
 
 12015 
 
 9724 
 
 12.8 
 
 12348 
 
 1597 
 
 16.8 
 
 12177 
 
 5540 
 
 20.8 
 
 12011 
 
 9579 
 
 12.9 
 
 12344 
 
 1456 
 
 16.9 
 
 12173 
 
 5398 
 
 20.9 
 
 12007 
 
 9435 
 
 13.0 
 
 0.0 012 339 
 
 091 280 
 
 17.0 
 
 0.0012169 
 
 085 255 
 
 21.0 
 
 0.0 012 003 
 
 079 290 
 
 13.1 
 
 12335 
 
 1139 
 
 17.1 
 
 12 165 
 
 5112 
 
 21.1 
 
 11999 
 
 9145 
 
 13.2 
 
 12331 
 
 0998 
 
 17.2 
 
 12160 
 
 4934 
 
 21.2 
 
 11995 
 
 9000 
 
 13.3 
 
 12326 
 
 0822 
 
 17.3 
 
 12156 
 
 4791 
 
 21.3 
 
 11991 
 
 8855 
 
 13.4 
 
 12322 
 
 0681 
 
 17.4 
 
 12152 
 
 4648 
 
 21.4 
 
 11987 
 
 8711 
 
 13.5 
 
 12318 
 
 0540 
 
 17.5 
 
 12148 
 
 4505 
 
 21.5 
 
 11982 
 
 8529 
 
 13.6 
 
 12313 
 
 0364 
 
 17.6 
 
 12144 
 
 4362 
 
 21.6 
 
 11978 
 
 8384 
 
 13.7 
 
 12309 
 
 0223 
 
 17.7 
 
 12139 
 
 4183 
 
 21.7 
 
 11974 
 
 8239 
 
 13.8 
 
 12305 
 
 090 082 
 
 17.8 
 
 12135 
 
 4040 
 
 21.8 
 
 11970 
 
 8094 
 
 13.9 
 
 12301 
 
 089 940 
 
 17.9 
 
 12131 
 
 3897 
 
 21.9 
 
 11966 
 
 7949 
 
 14.0 
 
 0.0 012 296 
 
 089 764 
 
 18.0 
 
 0.0012127 
 
 083 753 
 
 22.0 
 
 0.0011 962 
 
 077 804 
 
 14.1 
 
 12292 
 
 9623 
 
 181 
 
 12123 
 
 3610 
 
 22.1 
 
 11958 
 
 7659 
 
 14.2 
 
 12288 
 
 9481 
 
 18.2 
 
 12119 
 
 3467 
 
 22.2 
 
 11954 
 
 7513 
 
 14.3 
 
 12283 
 
 9305 
 
 18.3 
 
 12114 
 
 3288 
 
 22.3 
 
 11950 
 
 7368 
 
 14.4 
 
 12279 
 
 9163 
 
 18.4 
 
 12110 
 
 3144 
 
 22.4 
 
 11 946 
 
 7223 
 
 14.5 
 
 12275 
 
 9022 
 
 18.5 
 
 12 106 
 
 3001 
 
 22.5 
 
 11942 
 
 7077 
 
 14.6 
 
 12270 
 
 8845 
 
 18.6 
 
 12102 
 
 2857 
 
 22.6 
 
 11938 
 
 6932 
 
 14.7 
 
 12266 
 
 8703 
 
 18.7 
 
 12098 
 
 2714 
 
 22.7 
 
 11934 
 
 6786 
 
 14.8 
 
 12262 
 
 8561 
 
 18.8 
 
 12094 
 
 2570 
 
 22.8 
 
 11930 
 
 6640 
 
 14.9 
 
 12258 
 
 8420 
 
 18.9 
 
 12089 
 
 2390 
 
 22.9 
 
 11926 
 
 6495 
 
 15.0 
 
 0.0012253 
 
 088 242 
 
 19.0 
 
 0.0012085 
 
 082 247 
 
 23.0 
 
 0.0011922 
 
 076 349 
 
 15.1 
 
 12249 
 
 8101 
 
 19.1 
 
 12081 
 
 2103 
 
 23.1 
 
 11918 
 
 6203 
 
 15.2 
 
 12 245 
 
 7959 
 
 19.2 
 
 12077 
 
 1959 
 
 23.2 
 
 11914 
 
 6058 
 
 15.3 
 
 12241 
 
 7817 
 
 19.3 
 
 12073 
 
 1815 
 
 23.3 
 
 11 910 
 
 5912 
 
 15.4 
 
 12236 
 
 7640 
 
 19.4 
 
 12069 
 
 1671 
 
 23.4 
 
 11906 
 
 5766 
 
 15.5 
 
 12232 
 
 7498 
 
 19.5 
 
 12065 
 
 1527 
 
 23.5 
 
 11902 
 
 5620 
 
 15.6 
 
 12228 
 
 7355 
 
 19.6 
 
 12060 
 
 1347 
 
 23.6 
 
 11898 
 
 5474 
 
 15.7 
 
 12224 
 
 7213 
 
 19.7 
 
 12 056 
 
 1 203 
 
 23.7 
 
 11894 
 
 5328 
 
 15.8 
 
 12219 
 
 7036 
 
 19.8 
 
 12052 
 
 1059 
 
 23.8 
 
 11889 
 
 5 145 
 
 15.9 
 
 12215 
 
 6894 
 
 19.9 
 
 12048 
 
 0915 
 
 23.9 
 
 11885 
 
 4999 
 
TABLE XVI (CONTINUED) 
 
 33 
 
 t 
 
 dt, 760 
 
 log 
 
 t 
 
 <*t, 760 lOg 
 
 t 
 
 dt, 760 
 
 log 
 
 24.0 
 
 0.0011881 
 
 074 853 
 
 28.0 
 
 0.0011 723 
 
 069 039 
 
 32.0 
 
 0.0011569 
 
 063 296 
 
 24.1 
 
 11877 
 
 4707 
 
 28.1 
 
 11 719 
 
 8891 
 
 32.1 
 
 11 566 
 
 3183 
 
 24.2 
 
 11873 
 
 4 561 
 
 28.2 
 
 11 716 
 
 8779 
 
 32.2 
 
 11562 
 
 3033 
 
 24.3 
 
 11 869 
 
 4414 
 
 28.3 
 
 11712 
 
 8631 
 
 32.3 
 
 11558 
 
 2883 
 
 24.4 
 
 11865 
 
 4268 
 
 28.4 
 
 11708 
 
 8483 
 
 32.4 
 
 11554 
 
 2732 
 
 24.5 
 
 11861 
 
 4121 
 
 28.5 
 
 11 704 
 
 8334 
 
 32.5 
 
 11550 
 
 2582 
 
 24.6 
 
 11857 
 
 3975 
 
 28.6 
 
 11700 
 
 8186 
 
 32.6 
 
 11547 
 
 2469 
 
 24.7 
 
 11853 
 
 3828 
 
 28.7 
 
 11696 
 
 8037 
 
 32.7 
 
 11 543 
 
 2319 
 
 24.8 
 
 11849 
 
 3682 
 
 28.8 
 
 11692 
 
 7889 
 
 32.8 
 
 11539 
 
 2168 
 
 24.9 
 
 11846 
 
 3572 
 
 28.9 
 
 11688 
 
 7740 
 
 32.9 
 
 11535 
 
 2018 
 
 25.0 
 
 0.0011842 
 
 073 425 
 
 29.0 
 
 0.0011684 
 
 067 592 
 
 33.0 
 
 0.0011531 
 
 061 867 
 
 25.1 
 
 11838 
 
 3278 
 
 29.1 
 
 11681 
 
 7480 
 
 33.1 
 
 11528 
 
 1 754 
 
 25.2 
 
 11834 
 
 3132 
 
 29.2 
 
 11677 
 
 7331 
 
 33.2 
 
 11524 
 
 1603 
 
 25.3 
 
 11830 
 
 2985 
 
 29.3 
 
 11673 
 
 7183 
 
 33.3 
 
 11520 
 
 1453 
 
 25.4 
 
 11826 
 
 2838 
 
 29.4 
 
 11 669 
 
 7034 
 
 33.4 
 
 11516 
 
 1302 
 
 25.5 
 
 11822 
 
 2691 
 
 29.5 
 
 11 665 
 
 6885 
 
 33.5 
 
 11513 
 
 1 189 
 
 25.6 
 
 11818 
 
 2544 
 
 29.6 
 
 11661 
 
 6736 
 
 33.6 
 
 11509 
 
 1038 
 
 25.7 
 
 11814 
 
 2397 
 
 29.7 
 
 11657 
 
 6587 
 
 33.7 
 
 11505 
 
 0887 
 
 25.8 
 
 11810 
 
 2250 
 
 29.8 
 
 11654 
 
 6475 
 
 33.8 
 
 11501 
 
 0736 
 
 25.9 
 
 11806 
 
 2103 
 
 29.9 
 
 11650 
 
 6326 
 
 33.9 
 
 11497 
 
 0585 
 
 26.0 
 
 0.0011802 
 
 071 956 
 
 30.0 
 
 0.0011646 
 
 066177 
 
 34.0 
 
 0.0011494 
 
 060471 
 
 26.1 
 
 11 798 
 
 1808 
 
 30.1 
 
 11642 
 
 6028 
 
 34.1 
 
 11490 
 
 0320 
 
 26.2 
 
 11794 
 
 1661 
 
 30.2 
 
 11638 
 
 5878 
 
 34.2 
 
 11486 
 
 0169 
 
 26.3 
 
 11790 
 
 1514 
 
 30.3 
 
 11634 
 
 5729 
 
 34.3 
 
 11483 
 
 060055 
 
 26.4 
 
 11786 
 
 1366 
 
 30.4 
 
 11630 
 
 5580 
 
 34.4 
 
 11479 
 
 059 904 
 
 26.5 
 
 11782 
 
 1219 
 
 30.5 
 
 11627 
 
 5468 
 
 34.5 
 
 11475 
 
 9753 
 
 26.6 
 
 11778 
 
 1072 
 
 30.6 
 
 11 623 
 
 5318 
 
 34.6 
 
 11471 
 
 9601 
 
 26.7 
 
 11 774 
 
 0924 
 
 30.7 
 
 11619 
 
 5 169 
 
 34.7 
 
 11468 
 
 9488 
 
 26.8 
 
 11 770 
 
 0777 
 
 30.8 
 
 11615 
 
 5019 
 
 34.8 
 
 11464 
 
 9336 
 
 26.9 
 
 11 768 
 
 0703 
 
 30.9 
 
 11611 
 
 4870 
 
 34.9 
 
 11460 
 
 9185 
 
 27.0 
 
 0.0011762 
 
 070 481 
 
 31.0 
 
 0.0011607 
 
 064720 
 
 35.0 
 
 0.0011456 
 
 059033 
 
 27.1 
 
 11 759 
 
 0370 
 
 31.1 
 
 11 603 
 
 4570 
 
 
 
 
 27.2 
 
 11 755 
 
 0223 
 
 31.2 
 
 11600 
 
 4458 
 
 
 
 
 27.3 
 
 11751 
 
 070075 
 
 31.3 
 
 11 596 
 
 4308 
 
 
 
 
 27.4 
 
 11747 
 
 069 927 
 
 31.4 
 
 11592 
 
 4158 
 
 
 
 
 27.5 
 
 11743 
 
 9779 
 
 31.5 
 
 11588 
 
 4009 
 
 
 
 
 27.6 
 
 11739 
 
 9631 
 
 31.6 
 
 11 585 
 
 3896 
 
 
 
 
 27.7 
 
 11 735 
 
 9483 
 
 31.7 
 
 11 581 
 
 3746 
 
 
 
 
 27.8 
 
 11 731 
 
 9 335 
 
 31.8 
 
 11 577 
 
 3596 
 
 
 
 
 27.9 
 
 11727 
 
 9187 
 
 31.9 
 
 11 573 
 
 3446 
 
 
 
 
34 
 
 TABLE XVII 
 
 (Ostwald-Luther. Physiko-chemische Messungen) 
 
 Degrees 
 C. 
 
 Apparent 
 weight of a cc. 
 of water 
 
 log 
 
 Volume of an 
 apparent gram 
 of water 
 
 log 
 
 10 
 
 .9986 
 
 999392 
 
 1.0014 
 
 .000 608 
 
 11 
 
 85 
 
 9348 
 
 15 
 
 0651 
 
 12 
 
 84 
 
 9305 
 
 16 
 
 0694 
 
 13 
 
 83 
 
 9261 
 
 17 
 
 0738 
 
 14 
 
 82 
 
 9218 
 
 18 
 
 0781 
 
 15 
 
 81 
 
 9174 
 
 19 
 
 0824 
 
 16 
 
 79 
 
 9087 
 
 21 
 
 0911 
 
 17 
 
 77 
 
 9000 
 
 23 
 
 0998 
 
 18 
 
 76 
 
 8956 
 
 24 
 
 1041 
 
 19 
 
 74 
 
 8869 
 
 26 
 
 1 128 
 
 20 
 
 72 
 
 8782 
 
 28 
 
 1214 
 
 21 
 
 70 
 
 8695 
 
 30 
 
 1301 
 
 22 
 
 67 
 
 8565 
 
 33 
 
 1431 
 
 23 
 
 65 
 
 8477 
 
 35 
 
 1517 
 
 24 
 
 63 
 
 8390 
 
 37 
 
 1604 
 
 25 
 
 60 
 
 8259 
 
 40 
 
 1734 
 
TABLE XVIII 
 
 35 
 
 SPECIFIC VOLUME OF WATER 
 
 (Thiesen, Scheel, and Diesselhorst, Wiss. Abh. d. Phys. Techn. Reichsanst. 3, 69) 
 
 Hydrogen Scale 
 
 
 Tenth Degrees 
 
 Degrees 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 
 
 1.000132 
 
 126 
 
 119 
 
 113 
 
 107 
 
 101 
 
 095 
 
 089 
 
 084 
 
 079 
 
 1 
 
 073 
 
 069 
 
 064 
 
 059 
 
 055 
 
 051 
 
 047 
 
 043 
 
 039 
 
 035 
 
 2 
 
 032 
 
 029 
 
 026 
 
 023 
 
 020 
 
 018 
 
 016 
 
 013 
 
 Oil 
 
 009 
 
 3 
 
 008 
 
 006 
 
 005 
 
 004 
 
 003 
 
 002 
 
 001 
 
 001 
 
 000 
 
 000 
 
 4 
 
 000 
 
 000 
 
 000 
 
 001 
 
 001 
 
 002 
 
 003 
 
 004 
 
 005 
 
 007 
 
 5 
 
 008 
 
 010 
 
 012 
 
 014 
 
 016 
 
 018 
 
 021 
 
 023 
 
 026 
 
 029 
 
 6 
 
 032 
 
 035 
 
 039 
 
 042 
 
 046 
 
 050 
 
 054 
 
 058 
 
 062 
 
 066 
 
 7 
 
 071 
 
 075 
 
 080 
 
 085 
 
 090 
 
 096 
 
 101 
 
 107 
 
 112 
 
 118 
 
 8 
 
 124 
 
 130 
 
 137 
 
 143 
 
 149 
 
 156 
 
 163 
 
 170 
 
 177 
 
 184 
 
 9 
 
 192 
 
 199 
 
 207 
 
 215 
 
 223 
 
 231 
 
 239 
 
 247 
 
 256 
 
 264 
 
 10 
 
 273 
 
 282 
 
 291 
 
 300 
 
 309 
 
 319 
 
 328 
 
 338 
 
 348 
 
 358 
 
 11 
 
 368 
 
 378 
 
 388 
 
 399 
 
 409 
 
 420 
 
 431 
 
 442 
 
 453 
 
 464 
 
 12 
 
 476 
 
 487 
 
 499 
 
 511 
 
 522 
 
 534 
 
 547 
 
 559 
 
 571 
 
 584 
 
 13 
 
 596 
 
 609 
 
 622 
 
 635 
 
 648 
 
 661 
 
 675 
 
 688 
 
 702 
 
 715 
 
 14 
 
 729 
 
 743 
 
 757 
 
 772 
 
 786 
 
 800 
 
 815 
 
 830 
 
 844 
 
 859 
 
 15 
 
 874 
 
 890 
 
 905 
 
 920 
 
 936 
 
 951 
 
 967 
 
 983 
 
 999 
 
 *015 
 
 16 
 
 1.001 031 
 
 048 
 
 064 
 
 081 
 
 098 
 
 114 
 
 131 
 
 148 
 
 165 
 
 183 
 
 17 
 
 200 
 
 218 
 
 235 
 
 253 
 
 271 
 
 289 
 
 307 
 
 325 
 
 343 
 
 361 
 
 18 
 
 380 
 
 399 
 
 417 
 
 436 
 
 455 
 
 474 
 
 493 
 
 513 
 
 532 
 
 . 551 
 
 19 
 
 571 
 
 591 
 
 610 
 
 630 
 
 650 
 
 671 
 
 691 
 
 711 
 
 732 
 
 752 
 
 20 
 
 773 
 
 794 
 
 815 
 
 836 
 
 857 
 
 878 
 
 899 
 
 921 
 
 942 
 
 964 
 
 21 
 
 985 
 
 *007 
 
 *029 
 
 *051 
 
 *073 
 
 *0% 
 
 *118 
 
 *140 
 
 *163 
 
 *186 
 
 22 
 
 1.002 208 
 
 231 
 
 254 
 
 277 
 
 300 
 
 324 
 
 347 
 
 370 
 
 394 
 
 418 
 
 23 
 
 441 
 
 465 
 
 489 
 
 513 
 
 538 
 
 562 
 
 586 
 
 611 
 
 635 
 
 660 
 
 24 
 
 685 
 
 710 
 
 735 
 
 760 
 
 785 
 
 810 
 
 835 
 
 861 
 
 886 
 
 912 
 
 25 
 
 938 
 
 964 
 
 990 
 
 *016 
 
 *042 
 
 *068 
 
 *094 
 
 *121 
 
 *147 
 
 #174 
 
 26 
 
 1.003 201 
 
 227 
 
 254 
 
 281 
 
 308 
 
 336 
 
 363 
 
 390 
 
 418 
 
 445 
 
 27 
 
 473 
 
 501 
 
 529 
 
 556 
 
 585 
 
 613 
 
 641 
 
 669 
 
 698 
 
 726 
 
 28 
 
 755 
 
 783 
 
 812 
 
 841 
 
 870 
 
 899 
 
 928 
 
 957 
 
 987 
 
 *016 
 
 29 
 
 1.004046 
 
 075 
 
 105 
 
 135 
 
 165 
 
 194 
 
 225 
 
 255 
 
 285 
 
 315 
 
 30 
 
 346 
 
 376 
 
 407 
 
 437 
 
 468 
 
 499 
 
 530 
 
 561 
 
 592 
 
 623 
 
 31 
 
 655 
 
 686 
 
 717 
 
 749 
 
 781 
 
 812 
 
 844 
 
 876 
 
 908 
 
 940 
 
 32 
 
 972 
 
 *005 
 
 *037 
 
 *070 
 
 *102 
 
 *135 
 
 *167 
 
 *200 
 
 *233 
 
 *266 
 
 33 
 
 1.005 299 
 
 332 
 
 365 
 
 399 
 
 432 
 
 465 
 
 499 
 
 533 
 
 566 
 
 600 
 
 34 
 
 634 
 
 668 
 
 702 
 
 736 
 
 771 
 
 805 
 
 839 
 
 874 
 
 908 
 
 943 
 
 35 
 
 978 
 
 *013 
 
 *047 
 
 *OS2 
 
 *118 
 
 *153 
 
 *188 
 
 *223 
 
 *259 
 
 #294 
 
36 
 
 TABLE XIX 
 
 DENSITY OF WATER 
 
 (Thiesen, Scheel, and Diesselhorst, Wiss. Abh. d. Phys. Techn. Reichsanst. 3, 
 
 Hydrogen Scale 
 
 
 Tenth Degrees 
 
 Degrees 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 
 
 0.999 868 
 
 874 
 
 881 
 
 887 
 
 893 
 
 899 
 
 905 
 
 911 
 
 916 
 
 922 
 
 1 
 
 927 
 
 932 
 
 936 
 
 941 
 
 945 
 
 950 
 
 954 
 
 957 
 
 961 
 
 965 
 
 2 
 
 968 
 
 971 
 
 974 
 
 977 
 
 980 
 
 982 
 
 985 
 
 987 
 
 989 
 
 991 
 
 3 
 
 992 
 
 994 
 
 995 
 
 996 
 
 997 
 
 998 
 
 999 
 
 999 
 
 *000 
 
 *000 
 
 4 
 
 1.000000 
 
 000 
 
 000 
 
 *999 
 
 *999 
 
 *998 
 
 *997 
 
 *996 
 
 *995 
 
 *993 
 
 5 
 
 0.999 992 
 
 990 
 
 988 
 
 986 
 
 984 
 
 982 
 
 979 
 
 977 
 
 974 
 
 971 
 
 6 
 
 968 
 
 965 
 
 962 
 
 958 
 
 954 
 
 951 
 
 947 
 
 943 
 
 938 
 
 934 
 
 7 
 
 929 
 
 925 
 
 920 
 
 915 
 
 910 
 
 904 
 
 899 
 
 893 
 
 888 
 
 882 
 
 8 
 
 876 
 
 870 
 
 864 
 
 857 
 
 851 
 
 844 
 
 837 
 
 830 
 
 823 
 
 816 
 
 9 
 
 808 
 
 801 
 
 793 
 
 785 
 
 778 
 
 769 
 
 761 
 
 753 
 
 744 
 
 736 
 
 10 
 
 727 
 
 718 
 
 709 
 
 700 
 
 691 
 
 681 
 
 672 
 
 662 
 
 652 
 
 642 
 
 11 
 
 632 
 
 622 
 
 612 
 
 601 
 
 591 
 
 580 
 
 569 
 
 558 
 
 547 
 
 536 
 
 12 
 
 525 
 
 513 
 
 502 
 
 490 
 
 478 
 
 466 
 
 454 
 
 442 
 
 429 
 
 417 
 
 13 
 
 404 
 
 391 
 
 379 
 
 366 
 
 353 
 
 339 
 
 326 
 
 312 
 
 299 
 
 285 
 
 14 
 
 271 
 
 257 
 
 243 
 
 229 
 
 215 
 
 200 
 
 186 
 
 171 
 
 156 
 
 141 
 
 15 
 
 126 
 
 111 
 
 096 
 
 081 
 
 065 
 
 050 
 
 034 
 
 018 
 
 002 
 
 *986 
 
 16 
 
 0.998 970 
 
 953 
 
 937 
 
 920 
 
 904 
 
 887 
 
 870 
 
 853 
 
 836 
 
 819 
 
 17 
 
 801 
 
 784 
 
 766 
 
 749 
 
 731 
 
 713 
 
 695 
 
 677 
 
 659 
 
 640 
 
 18 
 
 622 
 
 603 
 
 585 
 
 566 
 
 547 
 
 528 
 
 509 
 
 490 
 
 471 
 
 451 
 
 19 
 
 432 
 
 412 
 
 392 
 
 372 
 
 352 
 
 332 
 
 312 
 
 292 
 
 271 
 
 251 
 
 20 
 
 230 
 
 210 
 
 189 
 
 168 
 
 147 
 
 126 
 
 105 
 
 083 
 
 062 
 
 040 
 
 21 
 
 019 
 
 *997 
 
 *975 
 
 *953 
 
 *931 
 
 *909 
 
 *887 
 
 *S64 
 
 *S42 
 
 *819 
 
 22 
 
 0.997 797 
 
 774 
 
 751 
 
 728 
 
 705 
 
 682 
 
 659 
 
 635 
 
 612 
 
 588 
 
 23 
 
 565 
 
 541 
 
 517 
 
 493 
 
 469 
 
 445 
 
 421 
 
 396 
 
 372 
 
 347 
 
 24 
 
 323 
 
 298 
 
 273 
 
 248 
 
 223 
 
 198 
 
 173 
 
 147 
 
 122 
 
 096 
 
 25 
 
 071 
 
 045 
 
 019 
 
 *994 
 
 *968 
 
 *941 
 
 *915 
 
 *SS9 
 
 *S63 
 
 *836 
 
 26 
 
 0.996 810 
 
 783 
 
 756 
 
 730 
 
 703 
 
 676 
 
 648 
 
 621 
 
 594 
 
 567 
 
 27 
 
 539 
 
 512 
 
 484 
 
 456 
 
 428 
 
 400 
 
 372 
 
 344 
 
 316 
 
 288 
 
 28 
 
 259 
 
 231 
 
 202 
 
 174 
 
 145 
 
 116 
 
 087 
 
 058 
 
 029 
 
 000 
 
 29 
 
 0.995 971 
 
 941 
 
 912 
 
 882 
 
 853 
 
 823 
 
 793 
 
 763 
 
 733 
 
 703 
 
 30 
 
 673 
 
 643 
 
 613 
 
 582 
 
 552 
 
 521 
 
 491 
 
 460 
 
 429 
 
 398 
 
 31 
 
 367 
 
 336 
 
 305 
 
 273 
 
 242 
 
 211 
 
 179 
 
 148 
 
 116 
 
 084 
 
 32 
 
 052 
 
 020 
 
 *988 
 
 *956 
 
 *924 
 
 *892 
 
 *859 
 
 *S27 
 
 *794 
 
 *762 
 
 33 
 
 0.994 729 
 
 696 
 
 663 
 
 630 
 
 597 
 
 564 
 
 531 
 
 498 
 
 464 
 
 431 
 
 34 
 
 398 
 
 364 
 
 330 
 
 296 
 
 263 
 
 229 
 
 195 
 
 161 
 
 126 
 
 092 
 
 35 
 
 058 
 
 023 
 
 *989 
 
 *954 
 
 *920 
 
 *885 
 
 *850 
 
 *815 
 
 *7SO 
 
 *745 
 
TABLE XX 
 
 37 
 
 THE PROPORTION BY WEIGHT OF 
 
 THE PROPORTION BY VOLUME OF 
 
 ABSOLUTE ALCOHOL IN 100 PARTS 
 
 ABSOLUTE ALCOHOL IN 100 VOL- 
 
 OF SPIRITS OF DIFFERENT SPE- 
 
 UMES OF SPIRITS OF DIFFERENT 
 
 CIFIC GRAVITIES (Fownes) 
 
 SPECIFIC GRAVITIES (Gay-Lussac) 
 
 
 
 
 
 
 
 
 100 
 
 
 100 
 
 
 100 
 
 
 
 
 
 
 
 
 vol. 
 
 
 vol. 
 
 
 vol. 
 
 
 Per 
 
 cent 
 
 
 Per 
 
 cent 
 
 
 Per 
 
 cent 
 
 
 spirits 
 
 
 spirits 
 
 
 spirits 
 
 Sp. G. 
 at 15.5 
 
 of 
 real 
 alco- 
 
 Sp. G. 
 at 15.5 
 
 of 
 real 
 alco- 
 
 Sp. G. 
 at 15.5 
 
 of 
 
 real 
 alco- 
 
 Sp. G. 
 
 at 15 
 
 con- 
 tain 
 vol. of 
 real 
 
 Sp. G. 
 at 15 
 
 con- 
 tain 
 vol. of 
 real 
 
 Sp. G. 
 at 15 
 
 con- 
 tain 
 vol. of 
 real 
 
 
 hol 
 
 
 hol 
 
 
 hol 
 
 
 alco- 
 
 
 alco- 
 
 
 alco- 
 
 
 
 
 
 
 
 
 hol 
 
 
 hol 
 
 
 hol 
 
 .9991 
 
 0.5 
 
 .9511 
 
 34 
 
 .8769 
 
 68 
 
 .9985 
 
 1 
 
 .9594 
 
 35 
 
 .8932 
 
 69 
 
 .9981 
 
 1 
 
 .9490 
 
 35 
 
 .8745 
 
 69 
 
 .9970 
 
 2 
 
 .9581 
 
 36 
 
 .8907 
 
 70 
 
 .9965 
 
 2 
 
 .9470 
 
 36 
 
 .8721 
 
 70 
 
 .9956 
 
 3 
 
 .9567 
 
 37 
 
 .8882 
 
 71 
 
 .9947 
 
 3 
 
 .9452 
 
 37 
 
 .8696 
 
 71 
 
 .9942 
 
 4 
 
 .9553 
 
 38 
 
 .8857 
 
 72 
 
 .9930 
 
 4 
 
 .9434 
 
 38 
 
 .8672 
 
 72 
 
 .9929 
 
 5 
 
 .9538 
 
 39 
 
 .8831 
 
 73 
 
 .9914 
 
 5 
 
 .9416 
 
 39 
 
 .8649 
 
 73 
 
 .9916 
 
 6 
 
 .9523 
 
 40 
 
 .8805 
 
 74 
 
 .9898 
 
 6 
 
 .9396 
 
 40 
 
 .8625 
 
 74 
 
 .9903 
 
 7 
 
 .9507 
 
 41 
 
 .8779 
 
 75 
 
 .9884 
 
 7 
 
 .9376 
 
 41 
 
 .8603 
 
 75 
 
 .9891 
 
 8 
 
 .9491 
 
 42 
 
 .8753 
 
 76 
 
 .9869 
 
 8 
 
 .9356 
 
 42 
 
 .8581 
 
 76 
 
 .9878 
 
 9 
 
 .9474 
 
 43 
 
 .8726 
 
 77 
 
 .9855 
 
 9 
 
 .9335 
 
 43 
 
 .8557 
 
 77 
 
 .9867 
 
 10 
 
 .9457 
 
 44 
 
 .8699 
 
 78 
 
 .9841 
 
 10 
 
 .9314 
 
 44 
 
 .8833 
 
 78 
 
 .9855 
 
 11 
 
 .9440 
 
 45 
 
 .8672 
 
 79 
 
 .9828 
 
 11 
 
 .9292 
 
 45 
 
 .8508 
 
 79 
 
 .9844 
 
 12 
 
 .9422 
 
 46 
 
 .8645 
 
 80 
 
 .9815 
 
 12 
 
 .9270 
 
 46 
 
 .8483 
 
 80 
 
 .9833 
 
 13 
 
 .9404 
 
 47 
 
 .8617 
 
 81 
 
 .9802 
 
 13 
 
 .9249 
 
 47 
 
 .8459 
 
 81 
 
 .9822 
 
 14 
 
 .9386 
 
 48 
 
 .8589 
 
 82 
 
 .9789 
 
 14 
 
 .9228 
 
 48 
 
 .8434 
 
 82 
 
 .9812 
 
 15 
 
 .9367 
 
 49 
 
 .8560 
 
 83 
 
 .9778 
 
 15 
 
 .9206 
 
 49 
 
 .8408 
 
 83 
 
 .9802 
 
 16 
 
 .9348 
 
 50 
 
 .8531 
 
 84 
 
 .9766 
 
 16 
 
 .9184 
 
 50 
 
 .8382 
 
 84 
 
 .9792 
 
 17 
 
 .9329 
 
 51 
 
 .8502 
 
 85 
 
 .9753 
 
 17 
 
 .9160 
 
 51 
 
 .8357 
 
 85 
 
 .9782 
 
 18 
 
 .9309 
 
 52 
 
 .8472 
 
 86 
 
 .9741 
 
 18 
 
 .9135 
 
 52 
 
 .8331 
 
 86 
 
 .9773 
 
 19 
 
 .9289 
 
 53 
 
 .8442 
 
 87 
 
 .9728 
 
 19 
 
 .9113 
 
 53 
 
 .8305 
 
 87 
 
 .9763 
 
 20 
 
 .9269 
 
 54 
 
 .8411 
 
 88 
 
 .9716 
 
 20 
 
 .9090 
 
 54 
 
 .8279 
 
 88 
 
 .9753 
 
 21 
 
 .9248 
 
 55 
 
 .8379 
 
 89 
 
 .9704 
 
 21 
 
 .9069 
 
 55 
 
 .8254 
 
 89 
 
 .9742 
 
 22 
 
 .9227 
 
 56 
 
 .8346 
 
 90 
 
 .9691 
 
 22 
 
 .9047 
 
 56 
 
 .8228 
 
 90 
 
 .9732 
 
 23 
 
 .9206 
 
 57 
 
 .8312 
 
 91 
 
 .9678 
 
 23 
 
 .9025 
 
 57 
 
 .8199 
 
 91 
 
 .9721 
 
 24 
 
 .9185 
 
 58 
 
 .8278 
 
 92 
 
 .9665 
 
 24 
 
 .9001 
 
 58 
 
 .8172 
 
 92 
 
 .9711 
 
 25 
 
 .9163 
 
 59 
 
 .8242 
 
 93 
 
 .9652 
 
 25 
 
 .8979 
 
 59 
 
 .8145 
 
 93 
 
 .9700 
 
 26 
 
 .9141 
 
 60 
 
 .8206 
 
 94 
 
 .9638 
 
 26 
 
 .8956 
 
 60 
 
 .8118 
 
 94 
 
 .9690 
 
 27 
 
 .9119 
 
 61 
 
 .8168 
 
 95 
 
 .9623 
 
 27 
 
 .8932 
 
 61 
 
 .8089 
 
 95 
 
 .9679 
 
 28 
 
 .9096 
 
 62 
 
 .8128 
 
 96 
 
 .9609 
 
 28 
 
 .8908 
 
 62 
 
 .8061 
 
 96 
 
 .9668 
 
 29 
 
 .9073 
 
 63 
 
 .8086 
 
 97 
 
 .9593 
 
 29 
 
 .8886 
 
 63 
 
 .8031 
 
 97 
 
 .9657 
 
 30 
 
 .9050 
 
 64 
 
 .8042 
 
 98 
 
 .9578 
 
 30 
 
 .8863 
 
 64 
 
 .8001 
 
 98 
 
 .9645 
 
 31 
 
 .9027 
 
 65 
 
 .8006 
 
 99 
 
 .9560 
 
 31 
 
 .8840 
 
 65 
 
 .7969 
 
 99 
 
 .9633 
 
 32 
 
 .9004 
 
 66 
 
 .7947 
 
 100 
 
 .9544 
 
 32 
 
 .8816 
 
 66 
 
 .7938 
 
 100 
 
 .9621 
 
 33 
 
 .8980 
 
 67 
 
 
 
 .9528 
 
 33 
 
 .8793 
 
 67 
 
 
 
 .9608 
 
 34 
 
 .8956 
 
 68 
 
 
 
38 
 
 TABLE XXI 
 
 SPECIFIC GKAVITY OF SOLUTIONS OF AMMONIUM HYDROXIDE AT 15 C. 
 
 (Lunge and Wiernik, Zeit. f. angew. Chem., 1889, 181) 
 
 Sp. G. 
 
 Mf 
 
 in vacuo 
 
 Per cent 
 NH 3 
 grams 
 
 1 liter 
 contains 
 NH 3 
 grams 
 
 Sp. G. 
 at"' 
 
 in vacuo 
 
 Per cent 
 NH 3 
 grams 
 
 1 liter 
 contains 
 NH 3 
 grams 
 
 Sp. G. 
 
 atr 
 
 in vacuo 
 
 Per cent 
 NH 3 
 grams 
 
 1 liter 
 contains 
 NH 3 
 grams 
 
 1.000 
 
 .00 
 
 0.0 
 
 0.960 
 
 9.91 
 
 95.1 
 
 0.920 
 
 21.75 
 
 200.1 
 
 0.998 
 
 .45 
 
 4.5 
 
 958 
 
 10.47 
 
 100.3 
 
 918 
 
 22.39 
 
 205.6 
 
 996 
 
 .91 
 
 9.1 
 
 956 
 
 11.03 
 
 105.4 
 
 916 
 
 23.03 
 
 210.9 
 
 994 
 
 1.37 
 
 13.6 
 
 954 
 
 11.60 
 
 110.7 
 
 914 
 
 23.68 
 
 216.3 
 
 992 
 
 1.84 
 
 18.2 
 
 952 
 
 12.17 
 
 115.9 
 
 912 
 
 24.33 
 
 221.9 
 
 990 
 
 2.31 
 
 22.9 
 
 950 
 
 12.74 
 
 121.0 
 
 910 
 
 24.99 
 
 227.4 
 
 988 
 
 2.80 
 
 27.7 
 
 948 
 
 13.31 
 
 126.2 
 
 908 
 
 25.65 
 
 232.9 
 
 986 
 
 3.30 
 
 32.5 
 
 946 
 
 13.88 
 
 131.3 
 
 906 
 
 26.31 
 
 238.3 
 
 984 
 
 3.80 
 
 37.4 
 
 944 
 
 14.46 
 
 136.5 
 
 904 
 
 26.98 
 
 243.9 
 
 982 
 
 4.30 
 
 42.2 
 
 942 
 
 15.04 
 
 141.7 
 
 902 
 
 27.65 
 
 249.4 
 
 980 
 
 4.80 
 
 47.0 
 
 940 
 
 15.63 
 
 146.9 
 
 900 
 
 28.33 
 
 255.0 
 
 978 
 
 5.30 
 
 51.8 
 
 938 
 
 16.22 
 
 152.1 
 
 898 
 
 29.01 
 
 260.5 
 
 976 
 
 5.80 
 
 56.6 
 
 936 
 
 16.82 
 
 157.4 
 
 896 
 
 29.69 
 
 266.0 
 
 974 
 
 6.30 
 
 61.4 
 
 934 
 
 17.42 
 
 162.7 
 
 894 
 
 30.37 
 
 271.5 
 
 972 
 
 6.80 
 
 66.1 
 
 932 
 
 18.03 
 
 168.1 
 
 892 
 
 31.05 
 
 277.0 
 
 970 
 
 7.31 
 
 70.9 
 
 930 
 
 18.64 
 
 173.4 
 
 890 
 
 31.75 
 
 282.6 
 
 968 
 
 7.82 
 
 75.7 
 
 928 
 
 19.25 
 
 178.6 
 
 888 
 
 32.50 
 
 288.6 
 
 966 
 
 8.33 
 
 80.5 
 
 926 
 
 19.87 
 
 184.2 
 
 886 
 
 33.25 
 
 294.6 
 
 964 
 
 8.84 
 
 85.2 
 
 924 
 
 20.49 
 
 189.3 
 
 884 
 
 34.10 
 
 301.4 
 
 962 
 
 9.35 
 
 89.9 
 
 922 
 
 21.12 
 
 194.7 
 
 882 
 
 34.95 
 
 308.3 
 
 TABLE XXII 
 SPECIFIC GRAVITY OF SOLUTIONS OF HYDROCHLORIC ACID AT 15 C. 
 
 (Lunge and Marchlewski, Zeit. angew. Chem., 1891, 135) 
 
 Sp. G. 
 atL- 
 
 in vacuo 
 
 100 pts. 
 by wt. 
 contain 
 grams 
 HC1 
 
 1 liter 
 contains 
 grams 
 HC1 
 
 Sp. g. 
 
 atr 
 
 in vacuo 
 
 100 pts. 
 by wt. 
 contain 
 grams 
 HC1 
 
 1 liter 
 contains 
 grams 
 HC1 
 
 Sp. G. 
 
 .tv 
 
 in vacuo 
 
 100 pts. 
 by wt. 
 contain 
 grams 
 HC1 
 
 1 liter 
 contains 
 grams 
 HC1 
 
 1.000 
 
 0.16 
 
 1.6 
 
 1.070 
 
 14.17 
 
 152 
 
 1.140 
 
 27.66 
 
 315 
 
 1.005 
 
 1.15 
 
 12.0 
 
 1.075 
 
 15.16 
 
 163 
 
 1.145 
 
 28.61 
 
 328 
 
 1.010 
 
 2.14 
 
 22.0 
 
 1.080 
 
 16.15 
 
 174 
 
 1.150 
 
 29.57 
 
 340 
 
 1.015 
 
 3.12 
 
 32.0 
 
 1.085 
 
 17.13 
 
 186 
 
 1.155 
 
 30.55 
 
 353 
 
 1.020 
 
 4.13 
 
 42.0 
 
 1.090 
 
 18.11 
 
 197 
 
 1.160 
 
 31.52 
 
 366 
 
 1.025 
 
 5.15 
 
 53 
 
 .095 
 
 19.06 
 
 209 
 
 1.165 
 
 32.49 
 
 379 
 
 1.030 
 
 6.15 
 
 64 
 
 .100 
 
 20.01 
 
 220 
 
 1.170 
 
 33.46 
 
 392 
 
 1.035 
 
 7.15 
 
 74 
 
 .105 
 
 20.97 
 
 232 
 
 1.175 
 
 34.42 
 
 404 
 
 1.040 
 
 8.16 
 
 85 
 
 .110 
 
 21.92 
 
 243 
 
 1.180 
 
 35.39 . 
 
 418 
 
 1.045 
 
 9.16 
 
 96 
 
 .115 
 
 22.86 
 
 255 
 
 1.185 
 
 36.31 
 
 430 
 
 1.050 
 
 10.17 
 
 107 
 
 .120 
 
 23.82 
 
 267 
 
 1.190 
 
 37.23 
 
 443 
 
 1.055 
 
 11.18 
 
 118 
 
 .125 
 
 24.78 
 
 278 
 
 1.195 
 
 38.16 
 
 456 
 
 1.060 
 
 12.19 
 
 129 
 
 .130 
 
 25.75 
 
 291 
 
 1.200 
 
 39.11 
 
 469 
 
 1.065 
 
 13.19 
 
 141 
 
 .135 
 
 26.70 
 
 303 
 
 
 
 
TABLE XXIII 
 
 39 
 
 CONSTANT BOILING SOLUTION OF HYDROCHLORIC ACID 
 
 (Hulett and Bonner, Jour. Am. Chem. Soc., 31, 390) 
 
 
 
 Grams constant 
 
 Barometric 
 
 Per cent 
 
 boiling distillate 
 
 pressure 
 
 HC1 
 
 containing 
 
 
 
 1 mol HC1 
 
 770 
 
 20.218 
 
 180.390 
 
 760 
 
 20.242 
 
 180.170 
 
 750 
 
 20.266 
 
 179.960 
 
 740 
 
 20.290 
 
 179.745 
 
 730 
 
 20.314 
 
 179.530 
 
 The easiest and most accurate method of preparing standard solutions of 
 hydrochloric acid is to weigh out a definite amount of the constant boiling 
 solution of hydrochloric acid and dilute this to a certain volume. The con- 
 stant boiling solution is obtained by diluting the concentrated hydrochloric 
 acid of the laboratory with an equal volume of water. Distill from a retort 
 or distilling flask connected with a condenser. When three fourths has been 
 distilled off, change the receiver and collect as much of the remainder 
 as is desirable. The last fraction is the constant boiling solution, and if the 
 barometric pressure is noted, the exact weight of this solution which when 
 diluted to a liter yields a normal solution can be ascertained by reference 
 to the table. 
 
40 
 
 TABLE XXIV 
 
 SPECIFIC GRAVITY OF NITRIC ACID AT 15 C. 
 (Lunge and Rey, Zeit. angew. Chem., 1891, 165) 
 
 Specific 
 gravity 
 at 15 
 in vacuo 
 
 100 pts. 
 by wt. 
 contain 
 grams 
 HN0 3 
 
 1 liter 
 contains 
 grams 
 HN0 3 
 
 Specific 
 gravity 
 at^in 
 vacuo 
 
 100 pts. 
 by wt. 
 contain 
 grams 
 HN0 3 
 
 1 liter 
 contains 
 grams 
 HN0 3 
 
 Specific 
 gravity 
 at ^ in 
 vacuo 
 
 100 pts. 
 by wt. 
 contain 
 grams 
 HN0 3 
 
 1 liter 
 contains 
 grams 
 HN0 3 
 
 1.000 
 
 0.10 
 
 1 
 
 1.205 
 
 33.09 
 
 399 
 
 1.410 
 
 67.50 
 
 952 
 
 1.005 
 
 1.00 
 
 10 
 
 1.210 
 
 33.82 
 
 409 
 
 1.415 
 
 68.63 
 
 971 
 
 1.010 
 
 1.90 
 
 19 
 
 1.215 
 
 34.55 
 
 420 
 
 1.420 
 
 69.80 
 
 991 
 
 1.015 
 
 2.80 
 
 28 
 
 1.220 
 
 35.28 
 
 430 
 
 1.425 
 
 70.98 
 
 1011 
 
 1.020 
 
 3.70 
 
 38 
 
 1.225 
 
 36.03 
 
 441 
 
 1.430 
 
 72.17 
 
 1032 
 
 1.025 
 
 4.60 
 
 47 
 
 1.230 
 
 36.78 
 
 452 
 
 1.435 
 
 73.39 
 
 1053 
 
 1.030 
 
 5.50 
 
 57 
 
 1.235 
 
 37.53 
 
 463 
 
 1.440 
 
 74.68 
 
 1075 
 
 .035 
 
 6.38 
 
 66 
 
 1.240 
 
 38.29 
 
 475 
 
 1.445 
 
 75.98 
 
 1098 
 
 .040 
 
 7.26 
 
 75 
 
 1.245 
 
 39.05 
 
 486 
 
 1.450 
 
 77.28 
 
 1121 
 
 1.045 
 
 8.13 
 
 85 
 
 1.250 
 
 39.82 
 
 498 
 
 1.455 
 
 78.60 
 
 1144 
 
 .050 
 
 8.99 
 
 94 
 
 1.255 
 
 40.58 
 
 509 
 
 1.460 
 
 79.98 
 
 1168 
 
 .055 
 
 9.84 
 
 104 
 
 1.260 
 
 41.34 
 
 521 
 
 1.465 
 
 81.42 
 
 1193 
 
 1.060 
 
 10.68 
 
 113 
 
 1.265 
 
 42.10 
 
 533 
 
 1.470 
 
 82.90 
 
 1219 
 
 1.065 
 
 11.51 
 
 123 
 
 1.270 
 
 42.87 
 
 544 
 
 1.475 
 
 84.45 
 
 1246 
 
 1.070 
 
 12.33 
 
 132 
 
 1.275 
 
 43.64 
 
 556 
 
 1.480 
 
 86.05 
 
 1274 
 
 1.075 
 
 13.15 
 
 141 
 
 1.280 
 
 44.41 
 
 568 
 
 1.485 
 
 87.70 
 
 1302 
 
 1.080 
 
 13.95 
 
 151 
 
 1.285 
 
 45.18 
 
 581 
 
 1.490 
 
 89.60 
 
 1335 
 
 1.085 
 
 14.74 
 
 160 
 
 1.290 
 
 45.95 
 
 593 
 
 1.495 
 
 91.60 
 
 1369 
 
 1.090 
 
 15.53 
 
 169 
 
 1.295 
 
 46.72 
 
 603 
 
 1.500 
 
 94.09 
 
 1411 
 
 1.095 
 
 16.32 
 
 179 
 
 1.300 
 
 47.49 
 
 617 
 
 1.501 
 
 94.60 
 
 1420 
 
 1.100 
 
 17.11 
 
 188 
 
 1.305 
 
 48.26 
 
 630 
 
 1.502 
 
 95.08 
 
 1428 
 
 1.105 
 
 17.89 
 
 198 
 
 1.310 
 
 49.07 
 
 643 
 
 1.503 
 
 95.55 
 
 1436 
 
 1.110 
 
 18.67 
 
 207 
 
 1.315 
 
 49.89 
 
 656 
 
 1.504 
 
 96.00 
 
 1444 
 
 1.115 
 
 19.45 
 
 217 
 
 1.320 
 
 50.71 
 
 669 
 
 1.505 
 
 96.39 
 
 1451 
 
 1.120 
 
 20.23 
 
 227 
 
 1.325 
 
 51.53 
 
 683 
 
 1.506 
 
 96.76 
 
 1457 
 
 1.125 
 
 21.00 
 
 236 
 
 1.330 
 
 52.37 
 
 697 
 
 1.507 
 
 97.13 
 
 1464 
 
 1.130 
 
 21.77 
 
 246 
 
 1.335 
 
 53.22 
 
 710 
 
 1.508 
 
 97.50 
 
 1470 
 
 1.135 
 
 22.54 
 
 256 
 
 1.340 
 
 54.07 
 
 725 
 
 1.509 
 
 97.84 
 
 1476 
 
 1.140 
 
 23.31 
 
 266 
 
 1.345 
 
 54.93 
 
 739 
 
 1.510 
 
 98.10 
 
 1481 
 
 1.145 
 
 24.08 
 
 276 
 
 1.350 
 
 55.79 
 
 753 
 
 1.511 
 
 98.32 
 
 1486 
 
 1.150 
 
 24.84 
 
 286 
 
 1.355 
 
 56.66 
 
 768 
 
 1.512 
 
 98.53 
 
 1490 
 
 1.155 
 
 25.60 
 
 296 
 
 1.360 
 
 57.57 
 
 783 
 
 1.513 
 
 98.73 
 
 1494 
 
 1.160 
 
 26.36 
 
 306 
 
 .365 
 
 58.48 
 
 798 
 
 1.514 
 
 98.90 
 
 1497 
 
 1.165 
 
 27.12 
 
 316 
 
 .370 
 
 59.39 
 
 814 
 
 1.515 
 
 99.01 
 
 1501 
 
 1.170 
 
 27.88 
 
 326 
 
 .375 
 
 60.30 
 
 829 
 
 1.516 
 
 99.21 
 
 1504 
 
 1.175 
 
 28.63 
 
 336 
 
 .380 
 
 61.27 
 
 846 
 
 1.517 
 
 99.34 
 
 1507 
 
 1.180 
 
 29.38 
 
 347 
 
 .385 
 
 62.24 
 
 862 
 
 1.518 
 
 99.46 
 
 1510 
 
 1.185 
 
 30.13 
 
 357 
 
 .390 
 
 63.23 
 
 879 
 
 1.519 
 
 99.57 
 
 1512 
 
 1.190 
 
 30.88 
 
 367 
 
 1.395 
 
 64.25 
 
 896 
 
 1.520 
 
 99.67 
 
 1515 
 
 1.195 
 
 31.62 
 
 378 
 
 1.400 
 
 65.30 
 
 914 
 
 
 
 
 1.200 
 
 32.36 
 
 388 
 
 1.405 
 
 66.40 
 
 933 
 
 
 
 
TABLE XXV 
 
 41 
 
 SPECIFIC GRAVITY OF SULPHURIC ACID AT 15 C. 
 
 (Lunge, Isler and Naef, Zeit. angew. Chem., 1890, 131) 
 
 Sp. G. 
 at f in 
 vacuo 
 
 100 pts. 
 by wt. 
 contain 
 grams 
 H 2 S0 4 
 
 1 liter 
 contains 
 grams 
 H 2 S0 4 
 
 Sp. G. 
 
 at ^ in 
 vacuo 
 
 100 pts. 
 by wt. 
 contain 
 grams 
 H 2 S0 4 
 
 1 liter 
 contains 
 grams 
 H 2 S0 4 
 
 Sp. G. 
 
 at^in 
 vacuo 
 
 100 pts. 
 by wt. 
 contain 
 grams 
 H 2 S0 4 
 
 1 liter 
 contains 
 grams 
 H 2 S0 4 
 
 1.000 
 
 .09 
 
 1 
 
 1.225 
 
 30.48 
 
 373 
 
 1.450 
 
 55.03 
 
 798 
 
 1.005 
 
 .83 
 
 8 
 
 1.230 
 
 31.11 
 
 382 
 
 1.455 
 
 55.50 
 
 808 
 
 1.010 
 
 1.57 
 
 16 
 
 1.235 
 
 31.70 
 
 391 
 
 1.460 
 
 55.97 
 
 817 
 
 1.015 
 
 2.30 
 
 23 
 
 1.240 
 
 32.28 
 
 400 
 
 1.465 
 
 56.43 
 
 827 
 
 1.020 
 
 3.03 
 
 31 
 
 1.245 
 
 32.86 
 
 409 
 
 1.470 
 
 56.90 
 
 837 
 
 1.025 
 
 3.76 
 
 39 
 
 1.250 
 
 33.43 
 
 418 
 
 1.475 
 
 57.37 
 
 846 
 
 1.030 
 
 4.49 
 
 46 
 
 1.255 
 
 34.00 
 
 426 
 
 1.480 
 
 57.83 
 
 856 
 
 1.035 
 
 5.23 
 
 54 
 
 1.260 
 
 34.57 
 
 435 
 
 1.485 
 
 58.28 
 
 865 
 
 1.040 
 
 5.96 
 
 62 
 
 1.265 
 
 35.14 
 
 444 
 
 1.490 
 
 58.74 
 
 876 
 
 1.045 
 
 6.67 
 
 71 
 
 1.270 
 
 35.71 
 
 454 
 
 1.495 
 
 59.22 
 
 885 
 
 1.050 
 
 7.37 
 
 77 
 
 1.275 
 
 36.29 
 
 462 
 
 1.500 
 
 59.70 
 
 896 
 
 1.055 
 
 8.07 
 
 85 
 
 1.280 
 
 36.87 
 
 472 
 
 1.505 
 
 60.18 
 
 906 
 
 1.060 
 
 8.77 
 
 93 
 
 1.285 
 
 37.45 
 
 481 
 
 1.510 
 
 60.65 
 
 916 
 
 1.065 
 
 9.47 
 
 102 
 
 1.290 
 
 38.03 
 
 490 
 
 1.515 
 
 61.12 
 
 926 
 
 1.070 
 
 10.19 
 
 109 
 
 1.295 
 
 38.61 
 
 500 
 
 1.520 
 
 61.59 
 
 936 
 
 1.075 
 
 10.90 
 
 117 
 
 1.300 
 
 39.19 
 
 510 
 
 1.525 
 
 62.06 
 
 946 
 
 1.080 
 
 11.60 
 
 125 
 
 1.305 
 
 39.77 
 
 519 
 
 1.530 
 
 62.53 
 
 957 
 
 1.085 
 
 12.30 
 
 133 
 
 1.310 
 
 40.35 
 
 529 
 
 1.535 
 
 63.00 
 
 967 
 
 1.090 
 
 12.99 
 
 142 
 
 1.315 
 
 40.93 
 
 538 
 
 1.540 
 
 63.43 
 
 977 
 
 1.095 
 
 13.67 
 
 150 
 
 1.320 
 
 41.50 
 
 548 
 
 1.545 
 
 63.85 
 
 987 
 
 1.100 
 
 14.35 
 
 158 
 
 1.325 
 
 42.08 
 
 557 
 
 1.550 
 
 64.26 
 
 996 
 
 1.105 
 
 15.03 
 
 166 
 
 1.330 
 
 42.66 
 
 567 
 
 1.555 
 
 64.67 
 
 1006 
 
 1.110 
 
 15.71 
 
 175 
 
 1.335 
 
 43.20 
 
 577 
 
 1.560 
 
 65.08 
 
 1015 
 
 1.115 
 
 16.36 
 
 183 
 
 1.340 
 
 43.74 
 
 586 
 
 1.565 
 
 65.49 
 
 1025 
 
 1.120 
 
 17.01 
 
 191 
 
 1.345 
 
 44.28 
 
 596 
 
 1.570 
 
 65.90 
 
 1035 
 
 1.125 
 
 17.66 
 
 199 
 
 1.350 
 
 44.82 
 
 605 
 
 1.575 
 
 66.30 
 
 1044 
 
 1.130 
 
 18.31 
 
 207 
 
 1.355 
 
 45.35 
 
 614 
 
 1.580 
 
 66.71 
 
 1054 
 
 1.135 
 
 18.96 
 
 215 
 
 1.360 
 
 45.88 
 
 624 
 
 1.585 
 
 67.13 
 
 1064 
 
 1.140 
 
 19.61 
 
 223 
 
 1.365 
 
 46.41 
 
 633 
 
 1.590 
 
 67.59 
 
 1075 
 
 1.145 
 
 20.26 
 
 231 
 
 1.370 
 
 46.94 
 
 643 
 
 1.595 
 
 68.05 
 
 1085 
 
 1.150 
 
 20.91 
 
 239 
 
 1.375 
 
 47.47 
 
 653 
 
 1.600 
 
 68.51 
 
 1096 
 
 1.155 
 
 21.55 
 
 248 
 
 1.380 
 
 48.00 
 
 662 
 
 1.605 
 
 68.97 
 
 1107 
 
 .160 
 
 22.19 
 
 257 
 
 1.385 
 
 48.53 
 
 672 
 
 1.610 
 
 69.43 
 
 1118 
 
 .165 
 
 22.83 
 
 266 
 
 1.390 
 
 49.06 
 
 682 
 
 1.615 
 
 69.89 
 
 1128 
 
 .170 
 
 23.47 
 
 275 
 
 1.395 
 
 49.59 
 
 692 
 
 1.620 
 
 70.32 
 
 1139 
 
 .175 
 
 24.12 
 
 283 
 
 1.400 
 
 50.11 
 
 702 
 
 1.625 
 
 70.74 
 
 1150 
 
 .180 
 
 24.76 
 
 292 
 
 1.405 
 
 50.63 
 
 711 
 
 1.630 
 
 71.16 
 
 1160 
 
 .185 
 
 25.40 
 
 301 
 
 1.410 
 
 51.15 
 
 721 
 
 1.635 
 
 71.57 
 
 1170 
 
 .190 
 
 26.04 
 
 310 
 
 1.415 
 
 51.66 
 
 730 
 
 1.640 
 
 71.99 
 
 1181 
 
 .195 
 
 26.68 
 
 319 
 
 1.420 
 
 52.15 
 
 740 
 
 1.645 
 
 72.40 
 
 1192 
 
 .200 
 
 27.32 
 
 328 
 
 1.425 
 
 52.63 
 
 750 
 
 1.650 
 
 72.82 
 
 1202 
 
 .205 
 
 27.95 
 
 337 
 
 1.430 
 
 53.11 
 
 759 
 
 1.655 
 
 73.23 
 
 1212 
 
 .210 
 
 28.58 
 
 346 
 
 1.435 
 
 53.59 
 
 769 
 
 1.660 
 
 73.64 
 
 1222 
 
 1.215 
 
 29.21 
 
 355 
 
 1.440 
 
 54.07 
 
 779 
 
 1.665 
 
 74.07 
 
 1233 
 
 1.220 
 
 29.84 
 
 364 
 
 1.445 
 
 54.55 
 
 789 
 
 1.670 
 
 74.51 
 
 1244 
 
TABLE XXV (CONTINUED) 
 
 SPECIFIC GRAVITY OF SULFURIC ACID AT 15 C. 
 
 (Lunge, Isler and Naef, Zeit. angew. Chem., 1890, 131) 
 
 Sp. G. 
 
 atV 5 m 
 vacuo 
 
 100 pts. 
 by wt. 
 contain 
 grams 
 H 2 S0 4 
 
 1 liter 
 contains 
 grams 
 H 2 S0 4 
 
 Sp. G 
 
 at^in 
 vacuo 
 
 100 pts. 
 by wt. 
 contain 
 grams 
 H 2 S0 4 
 
 1 liter 
 contains 
 grams 
 H 2 S0 4 
 
 Sp. G. 
 at in 
 vacuo 
 
 100 pts. 
 bywt. 
 contain 
 grams 
 H 2 S0 4 
 
 1 liter 
 contains 
 grams 
 H 2 S0 4 
 
 1.675 
 
 74.97 
 
 1256 
 
 1.775 
 
 83.90 
 
 1489 
 
 1.831 
 
 92.30 
 
 1690 
 
 1.680 
 
 75.42 
 
 1267 
 
 1.780 
 
 84.50 
 
 1504 
 
 1.832 
 
 92.52 
 
 1695 
 
 1.685 
 
 75.86 
 
 1278 
 
 1.785 
 
 85.10 
 
 1519 
 
 1.833 
 
 92.75 
 
 1700 
 
 1.690 
 
 76.30 
 
 1289 
 
 1.790 
 
 85.70 
 
 1534 
 
 1.834 
 
 93.05 
 
 1706 
 
 1.695 
 
 76.73 
 
 1301 
 
 1.795 
 
 86.30 
 
 1549 
 
 1.835 
 
 93.43 
 
 1713 
 
 1.700 
 
 77.17 
 
 1312 
 
 1.800 
 
 86.90 
 
 1564 
 
 1.836 
 
 93.80 
 
 1722 
 
 1.705 
 
 77.60 
 
 1323 
 
 1.805 
 
 87.60 
 
 1581 
 
 1.837 
 
 94.20 
 
 1730 
 
 1.710 
 
 78.04 
 
 1334 
 
 1.810 
 
 88.30 
 
 1598 
 
 1.838 
 
 94.60 
 
 1739 
 
 1.715 
 
 78.48 
 
 1346 
 
 1.815 
 
 89.05 
 
 1621 
 
 1.839 
 
 95.00 
 
 1748 
 
 1.720 
 
 78.92 
 
 1357 
 
 1.820 
 
 90.05 
 
 1639 
 
 1.840 
 
 95.60 
 
 1759 
 
 1.725 
 
 79.36 
 
 1369 
 
 1.821 
 
 90.20 
 
 1643 
 
 1.8405 
 
 95.95 
 
 1765 
 
 1.730 
 
 79.80 
 
 1381 
 
 1.822 
 
 90.40 
 
 1647 
 
 1.8410 
 
 97.00 
 
 1786 
 
 1.735 
 
 80.24 
 
 1392 
 
 1.823 
 
 9P.60 
 
 1651 
 
 1.8415 
 
 97.70 
 
 1799 
 
 1.740 
 
 80.68 
 
 1404 
 
 1.824 
 
 90.80 
 
 1656 
 
 1.8410 
 
 98.20 
 
 1808 
 
 1.745 
 
 81.12 
 
 1416 
 
 1.825 
 
 91.00 
 
 1661 
 
 1.8405 
 
 98.70 
 
 1816 
 
 1.750 
 
 81.56 
 
 1427 
 
 1.826 
 
 91.25 
 
 1666 
 
 1.8400 
 
 99.20 
 
 1825 
 
 1.755 
 
 82.00 
 
 1439 
 
 1.827 
 
 91.50 
 
 1671 
 
 1.8395 
 
 99.45 
 
 1830 
 
 1.760 
 
 82.44 
 
 1451 
 
 1.828 
 
 91.70 
 
 1676 
 
 1.8390 
 
 99.70 
 
 1834 
 
 1.765 
 
 82.88 
 
 1463 
 
 1.829 
 
 91.90 
 
 1681 
 
 1.8385 
 
 99.95 
 
 1838 
 
 1.770 
 
 83.32 
 
 1475 
 
 1.830 
 
 92.10 
 
 1685 
 
 
 
 
TABLE XXVI A 
 
 43 
 
 CORRECTIONS FOR THE EXPOSED THREAD OF MERCURY THERMOMETERS 
 
 (Landolt-Bornstein) 
 np(T-t) 
 
 n is the length of exposed thread expressed in terms of the thermometer graduations, 
 /3 the apparent coefficient of expansion of mercury in glass. T the temperature read off, 
 t, the mean temperature of the exposed thread. For temperatures lower than 100 /3 
 varies from ^V o to srW' depending on the glass, and for higher temperatures the 
 fraction is somewhat smaller. 
 
 T V THERMOMETERS, GRADUATED FROM TO 100 
 (Length of degrees about 4 mm.) 
 
 T t = 
 
 30 
 
 35 
 
 40 
 
 45 
 
 50 
 
 55 
 
 60 
 
 65 
 
 70 
 
 75 
 
 80 
 
 85 
 
 n=10 
 
 .05 
 
 .05 
 
 .05 
 
 .05 
 
 .05 
 
 .05 
 
 .05 
 
 .05 
 
 .1 
 
 .1 
 
 .1 
 
 .1 
 
 20 
 
 .1 
 
 .1 
 
 .15 
 
 .15 
 
 .15 
 
 .15 
 
 .15 
 
 .20 
 
 .2 
 
 .2 
 
 .2 
 
 .25 
 
 30 
 
 .2 
 
 .2 
 
 .25 
 
 .25 
 
 .25 
 
 .25 
 
 .25 
 
 .3 
 
 .3 
 
 .35 
 
 .35 
 
 .35 
 
 40 
 
 .3 
 
 .3 
 
 .3 
 
 .35 
 
 .35 
 
 .35 
 
 .4 
 
 .4 
 
 .45 
 
 .45 
 
 .5 
 
 .5 
 
 50 
 
 .35 
 
 .4 
 
 .4 
 
 .4 
 
 .45 
 
 .45 
 
 .5 
 
 .5 
 
 .55 
 
 .55 
 
 .6 
 
 .65 
 
 60 
 
 .45 
 
 .5 
 
 .5 
 
 .55 
 
 .55 
 
 .55 
 
 .6 
 
 .65 
 
 .65 
 
 .7 
 
 .75 
 
 .8 
 
 70 
 
 
 
 
 
 
 .65 
 
 .7 
 
 .7 
 
 .75 
 
 .8 
 
 .85 
 
 .9 
 
 80 
 
 
 
 
 
 
 
 .75 
 
 .8 
 
 .85 
 
 .95 
 
 1.0 
 
 1.1 
 
 90 
 
 
 
 
 
 
 
 
 .9 
 
 1.0 
 
 1.1 
 
 1.1 
 
 1.2 
 
 100 
 
 
 
 
 
 
 
 
 
 1.1 
 
 1.2 
 
 1.3 
 
 1.3 
 
44 
 
 TABLE XXVI B 
 
 THERMOMETERS GRADUATED FROM TO 360 
 (Length of degrees 1 to 1.6 mm.) 
 
 T-t = 
 
 70 
 
 80 
 
 90 
 
 100 
 
 110 
 
 120 
 
 130 
 
 140 
 
 150 
 
 160 
 
 170 
 
 180 
 
 190 
 
 200 
 
 210 
 
 220 
 
 72 = 10 
 
 0. 
 
 .05 
 
 .05 
 
 .05 
 
 .1 
 
 .1 
 
 .1 
 
 .15 
 
 .2 
 
 .2 
 
 .2 
 
 .25 
 
 .3 
 
 .35 
 
 .35 
 
 .40 
 
 20 
 
 .15 
 
 .15 
 
 .2 
 
 .2 
 
 .25 
 
 .3 
 
 .3 
 
 .4 
 
 .45 
 
 .45 
 
 .5 
 
 .55 
 
 .55 
 
 .60 
 
 .65 
 
 .65 
 
 30 
 
 .25 
 
 .3 
 
 .35 
 
 .4 
 
 .45 
 
 .5 
 
 .55 
 
 .6 
 
 .65 
 
 .7 
 
 .75 
 
 .8 
 
 .85 
 
 .9 
 
 .95 
 
 .95 
 
 40 
 
 .35 
 
 .4 
 
 .5 
 
 .55 
 
 .6 
 
 .7 
 
 .75 
 
 .8 
 
 .90 
 
 .95 
 
 1.0 
 
 1.0 
 
 1.1 
 
 1.2 
 
 1.2 
 
 1.3 
 
 50 
 
 .45 
 
 .55 
 
 .6 
 
 .7 
 
 .8 
 
 .9 
 
 .95 
 
 1.0 
 
 1.1 
 
 1.2 
 
 1.2 
 
 1.3 
 
 1.4 
 
 1.4 
 
 1.5 
 
 1.6 
 
 60 
 
 .55 
 
 .65 
 
 .75 
 
 .9 
 
 1.0 
 
 1.1 
 
 1.2 
 
 1.2 
 
 1.3 
 
 1.4 
 
 1.5 
 
 1.6 
 
 1.7 
 
 1.7 
 
 1.8 
 
 1.9 
 
 70 
 
 .7 
 
 .8 
 
 .9 
 
 1.1 
 
 1.2 
 
 1.3 
 
 1.4 
 
 1.5 
 
 1.6 
 
 1.7 
 
 1.8 
 
 1.9 
 
 1.9 
 
 2.0 
 
 2.1 
 
 2.2 
 
 80 
 
 .8 
 
 .9 
 
 1.0 
 
 1.2 
 
 1.4 
 
 1.5 
 
 1.6 
 
 1.7 
 
 1.8 
 
 1.9 
 
 2.0 
 
 2.1 
 
 2.2 
 
 2.3 
 
 2.4 
 
 2.5 
 
 90 
 
 .9 
 
 1.0 
 
 1.2 
 
 1.4 
 
 1.6 
 
 1.7 
 
 1.9 
 
 2.0 
 
 2.1 
 
 2.2 
 
 2.3 
 
 2.4 
 
 2.5 
 
 2.6 
 
 2.8 
 
 2.9 
 
 100 
 
 1.0 
 
 1.2 
 
 1.3 
 
 1.6 
 
 1.8 
 
 2.0 
 
 2.1 
 
 2.2 
 
 2.3 
 
 2.4 
 
 2.6 
 
 2.7 
 
 2.8 
 
 2.9 
 
 3.1 
 
 3.2 
 
 110 
 
 
 
 
 1.8 
 
 2.0 
 
 2.2 
 
 2.3 
 
 2.4 
 
 2.5 
 
 2.7 
 
 2.8 
 
 3.0 
 
 3.1 
 
 3.3 
 
 3.4 
 
 3.6 
 
 120 
 
 
 
 
 2.0 
 
 2.2 
 
 2.4 
 
 2.6 
 
 2.7 
 
 2.8 
 
 2.9 
 
 3.1 
 
 3.3 
 
 3.4 
 
 3.6 
 
 3.7 
 
 3.9 
 
 130 
 
 
 
 
 
 2.4 
 
 2.7 
 
 2.8 
 
 2.9 
 
 3.0 
 
 3.2 
 
 3.4 
 
 3.6 
 
 3.7 
 
 3.9 
 
 4.1 
 
 4.3 
 
 140 
 
 
 
 
 
 2.7 
 
 2.9 
 
 3.1 
 
 3.2 
 
 3.3 
 
 3.5 
 
 3.7 
 
 3.9 
 
 4.0 
 
 4.2 
 
 4.4 
 
 4.6 
 
 150 
 
 
 
 
 
 
 
 
 
 3.5 
 
 3.7 
 
 4.0 
 
 4.1 
 
 4.3 
 
 4.6 
 
 4.8 
 
 5.0 
 
 160 
 
 
 
 
 
 
 
 
 
 3.7 
 
 4.0 
 
 4.2 
 
 4.5 
 
 4.7 
 
 4.9 
 
 5.1 
 
 5.4 
 
 170 
 
 
 
 
 
 
 
 
 
 4.0 
 
 4.3 
 
 4.5 
 
 4.8 
 
 5.0 
 
 5.2 
 
 5.5 
 
 5.8 
 
 180 
 
 
 
 
 
 
 
 
 
 4.3 
 
 4.5 
 
 4.8 
 
 5.1 
 
 5.3 
 
 5.6 
 
 5.9 
 
 6.1 
 
 190 
 
 
 
 
 
 
 
 
 
 
 
 
 5.4 
 
 5.6 
 
 5.9 
 
 6.2 
 
 6.5 
 
 200 
 
 
 
 
 
 
 
 
 
 
 
 
 5.7 
 
 6.0 
 
 6.3 
 
 6.6 
 
 6.9 
 
 210 
 
 
 
 
 
 
 
 
 
 
 
 
 
 6.3 
 
 6.7 
 
 7.0 
 
 7.3 
 
 220 
 
 
 
 
 
 
 
 
 
 
 
 
 
 6.7 
 
 7.0 
 
 7.4 
 
 7.7 
 
 TABLE XXVII 
 FIXED POINTS OF THE THERMOMETRIC SCALE 
 
 (Transition temperatures) 
 
 
 H. Scale 
 
 
 Na 2 Cr0 4 - 
 
 10H 2 
 
 - Na CrO 
 
 6H 2 
 
 19.5251 
 
 
 
 Na 2 00 4 . 
 
 lOHtO 
 
 Na 2 Cr0 4 
 
 4H 2 
 
 19.987 I 
 
 Richards 
 
 and Kelley 
 
 Na 2 Cr0 4 . 
 
 6H 9 
 
 - Na 2 Cr0 4 
 
 4H 2 
 
 25.90 J 
 
 
 
 Na 2 C0 8 - 
 
 10H 2 
 
 - Na 2 C0 3 
 
 7H 2 
 
 32.00 1 
 
 
 
 Na 2 C0 3 . 
 
 10H 2 
 
 - Na 2 C0 3 
 
 - H 2 
 
 32.96 I 
 
 Wells and McAdam 
 
 Na 2 C0 3 
 
 7H 
 
 - Na 2 C0 3 
 
 H 2 
 
 35.37 J 
 
 
 
 Na 2 S0 4 
 NaBr . 
 
 10H 9 
 2H 2 "0 
 
 - Na 2 S0 4 
 -NaBr 
 
 
 32.3831 
 50.674 J 
 
 Richards 
 
 and Wells 
 
 MnCl 2 . 
 
 4H 2 
 
 - MnCl 2 
 
 .2H 2 
 
 58.089 
 
 Richards 
 
 and Wrede 
 
TABLE XXVIII 
 
 45 
 
 CORRECTIONS FOR LOSS OF WEIGHT IN AIR 
 
 The following table, calculated by Kohlrausch, contains corrections, C, expressed in 
 milligrams, to be added algebraically to each gram of apparent weight of a substance, 
 the specific gravity of which is S. 
 
 S 
 
 C 
 
 S 
 
 C 
 
 S 
 
 C 
 
 0.7 
 
 + 1.57 
 
 2.0 
 
 + 0.458 
 
 9 
 
 -0.009 
 
 0.8 
 
 + 1.36 
 
 2.5 
 
 + 0.337 
 
 10 
 
 - 0.023 
 
 0.9 
 
 + 1.19 
 
 3.0 
 
 + 0.257 
 
 11 
 
 - 0.034 
 
 1.0 
 
 + 1.06 
 
 3.5 
 
 + 0.200 
 
 12 
 
 - 0.043 
 
 1.1 
 
 + 0.95 
 
 4.0 
 
 + 0.157 
 
 13 
 
 - 0.050 
 
 1.2 
 
 + 0.86 
 
 4.5 
 
 + 0.142 
 
 14 
 
 - 0.057 
 
 1.3 
 
 + 0.78 
 
 5.0 
 
 + 0.097 
 
 15 
 
 - 0.063 
 
 1.4 
 
 + 0.71 
 
 5.5 
 
 + 0.075 
 
 16 
 
 - 0.068 
 
 1.5 
 
 + 0.66 
 
 6.0 
 
 + 0.057 
 
 17 
 
 - 0.072 
 
 1.6 
 
 + 0.61 
 
 6.5 
 
 + 0.042 
 
 IS 
 
 - 0.076 
 
 1.7 
 
 + 0.56 
 
 7-0 
 
 + 0.029 
 
 19 
 
 - 0.080 
 
 1.8 
 
 + 0.52 
 
 7.5 
 
 + 0.017 
 
 20 
 
 - 0.083 
 
 1.9 
 
 + 0.49 
 
 8.0 
 
 + 0.007 
 
 
 
 The following values are of constant use in revising the atomic weights of the elements 
 by means of their halides. 
 
 Vacuum correction per 
 apparent gram 
 
 Ag _ 0.000031 gram 
 
 AgBr + 0.000041 gram 
 
 AgCl +0.000075 gram 
 
 Agl + 0.000071 gram 
 
 Brass weights 
 Glass 
 
 Specific 
 gravity 
 
 8.3 
 2.5 
 
 Vacuum correction 
 per apparent gram. 
 
 - 0.000145 
 + 0.000335 
 
TABLE XXIX 
 
 LOGARITHMS OF NUMBERS 
 (From 1 to 10,000) 
 
 N. 
 
 log 
 
 N. 
 
 log 
 
 N. 
 
 log 
 
 N. 
 
 log 
 
 1 
 
 0.000000 
 
 26 
 
 1.414973 
 
 51 
 
 1.707570 
 
 76 
 
 1.880814 
 
 2 
 
 0.301030 
 
 27 
 
 1.431364 
 
 52 
 
 1.716003 
 
 77 
 
 1.886491 
 
 3 
 
 0.477121 
 
 28 
 
 1.447158 
 
 53 
 
 1.724276 
 
 78 
 
 , 1.892095 
 
 4 
 
 0.602060 
 
 29 
 
 1.462398 
 
 54 
 
 1.732394 
 
 79 
 
 1.897627 
 
 5 
 
 0.698970 
 
 30 
 
 1.477121 
 
 55 
 
 1.740363 
 
 80 
 
 1.903090 
 
 6 
 
 0.778151 
 
 31 
 
 1.491362 
 
 56 
 
 1.748188 
 
 81 
 
 1.908485 
 
 7 
 
 0.845098 
 
 32 
 
 1.505150 
 
 57 
 
 1.755875 
 
 82 
 
 1.913814 
 
 8 
 
 0.903090 
 
 33 
 
 1.518514 
 
 58 
 
 1.763428 
 
 83 
 
 1.919078 
 
 9 
 
 0.954243 
 
 34 
 
 1.531479 
 
 59 
 
 1.770852 
 
 84 
 
 1.924279 
 
 10 
 
 1.000000 
 
 35 
 
 1.544068 
 
 60 
 
 1.778151 
 
 85 
 
 1.929419 
 
 11 
 
 1.041393 
 
 36 
 
 1.556303 
 
 61 
 
 1.785330 
 
 86 
 
 1.934498 
 
 12 
 
 1.079181 
 
 37 
 
 1.568202 
 
 6? 
 
 1.792392 
 
 87 
 
 1.939519 
 
 13 
 
 1.113943 
 
 38 
 
 1.579784 
 
 63 
 
 1.799341 
 
 88 
 
 1.944483 
 
 14 
 
 1.146128 
 
 39 
 
 1.591065 
 
 64 
 
 1.806181 
 
 89 
 
 1.949390 
 
 15 
 
 1.176091 
 
 40 
 
 1.602060 
 
 65 
 
 1.812913 
 
 90 
 
 1.954243 
 
 16 
 
 1.204120 
 
 41 
 
 1.612784 
 
 66 
 
 1.819544 
 
 91 
 
 1.959041 
 
 17 
 
 1.230449 
 
 42 
 
 1.623249 
 
 67 
 
 1.826075 
 
 92 
 
 1.963788 
 
 18 
 
 1.255273 
 
 43 
 
 1.633468 
 
 68 
 
 1.832509 
 
 93 
 
 1.968483 
 
 19 
 
 1.278754 
 
 44 
 
 1.643453 
 
 69 
 
 1.838849 
 
 94 
 
 1.973128 
 
 20 
 
 1.301030 
 
 .. 45 
 
 1.653213 
 
 70 
 
 1.845098 
 
 95 
 
 1.977724 
 
 21 
 
 1.322219 
 
 46 
 
 1.662758 
 
 71 
 
 1.851258 
 
 96 
 
 1.982271 
 
 22 
 
 1.342423 
 
 47 
 
 1.67209S 
 
 72 
 
 1.857333 
 
 97 
 
 1.986772 
 
 23 
 
 1.361728 
 
 48 
 
 1.681241 
 
 73 
 
 1.863323 
 
 98 
 
 1.991226 
 
 24 
 
 1.380211 
 
 49 
 
 1.690196 
 
 74 
 
 1.869232 
 
 99 
 
 1.995635 
 
 25 
 
 1.397940 
 
 50 
 
 1.698970 
 
 75 
 
 1.875061 
 
 100 
 
 2.000000 
 
 REMARK. In the following table, in the nine right-hand columns of each 
 page, where the first or leading' figures change from 9's to O's, asterisks are 
 introduced instead of the O's, to catch the eye, and to indicate that from 
 thence the two figures of the logarithm to be taken from the second column 
 stand in the next line below. 
 
TABLE XXIX (CONTINUED) 
 
 4T 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 100 
 
 000000 
 
 0434 
 
 0868 
 
 1301 
 
 1734 
 
 2166 
 
 2598 
 
 3029 
 
 3461 
 
 3891 
 
 432 
 
 101 
 
 4321 
 
 4751 
 
 5181 
 
 5609 
 
 6038 
 
 6466 
 
 6894 
 
 7321 
 
 7748 
 
 8174 
 
 428 
 
 102 
 
 8600 
 
 9026 
 
 9451 
 
 9876 
 
 *300 
 
 *724 
 
 1147 
 
 1570 
 
 1993 
 
 2415 
 
 424 
 
 103 
 
 012837 
 
 3259 
 
 3680 
 
 4100 
 
 4521 
 
 4940 
 
 5360 
 
 5779 
 
 6197 
 
 6616 
 
 419 
 
 104 
 
 7033 
 
 7451 
 
 7868 
 
 8284 
 
 8700 
 
 9116 
 
 9532 
 
 9947 
 
 *361 
 
 *775 
 
 416 
 
 105 
 
 021189 
 
 1603 
 
 2016 
 
 2428 
 
 2841 
 
 3252 
 
 3664 
 
 4075 
 
 4486 
 
 4896 
 
 412 
 
 106 
 
 5306 
 
 5715 
 
 6125 
 
 6533 
 
 6942 
 
 7350 
 
 7757 
 
 8164 
 
 8571 
 
 8978 
 
 408 
 
 107 
 
 9384 
 
 9789 
 
 *195 
 
 *600 
 
 1004 
 
 1408 
 
 1812 
 
 2216 
 
 2619 
 
 3021 
 
 404 
 
 108 
 
 033424 
 
 3826 
 
 4227 
 
 4628 
 
 5029 
 
 5430 
 
 5830 
 
 6230 
 
 6629 
 
 7028 
 
 400 
 
 109 
 
 7426 
 
 7825 
 
 8223 
 
 8620 
 
 9017 
 
 9414 
 
 9811 
 
 *207 
 
 *602 
 
 *998 
 
 396 
 
 110 
 
 041393 
 
 1787 
 
 2182 
 
 2576 
 
 2969 
 
 3362 
 
 3755 
 
 4148 
 
 4540 
 
 4932 
 
 393 
 
 111 
 
 5323 
 
 5714 
 
 6105 
 
 6495 
 
 6885 
 
 7275 
 
 7664 
 
 8053 
 
 8442 
 
 8830 
 
 389 
 
 112 
 
 9218 
 
 9606 
 
 9993 
 
 *380 
 
 *766 
 
 1153 
 
 1538 
 
 1924 
 
 2309 
 
 2694 
 
 386 
 
 113 
 
 053078 
 
 3463 
 
 3846 
 
 4230 
 
 4613 
 
 4996 
 
 5378 
 
 5760 
 
 6142 
 
 6524 
 
 382 
 
 114 
 
 6905 
 
 7286 
 
 7666 
 
 8046 
 
 8426 
 
 8805 
 
 9185 
 
 9563 
 
 9942 
 
 *320 
 
 379 
 
 115 
 
 060698 
 
 1075 
 
 1452 
 
 1829 
 
 2206 
 
 2582 
 
 2958 
 
 3333 
 
 3709 
 
 4083 
 
 376 
 
 116 
 
 4458 
 
 4832 
 
 5206 
 
 5580 
 
 5953 
 
 6326 
 
 6699 
 
 7071 
 
 7443 
 
 7815 
 
 372 
 
 117 
 
 8186 
 
 8557 
 
 8928 
 
 9298 
 
 9668 
 
 **3S 
 
 *407 
 
 *776 
 
 1145 
 
 1514 
 
 369 
 
 118 
 
 071SS2 
 
 2250 
 
 2617 
 
 2985 
 
 3352 
 
 3718 
 
 4085 
 
 4451 
 
 4816 
 
 5182 
 
 366 
 
 119 
 
 5547 
 
 5912 
 
 6276 
 
 6640 
 
 7004 
 
 7368 
 
 7731 
 
 8094 
 
 8457 
 
 8819 
 
 363 
 
 120 
 
 079181 
 
 9543 
 
 9904 
 
 *266 
 
 *626 
 
 *987 
 
 1347 
 
 1707 
 
 2067 
 
 2426 
 
 360 
 
 121 
 
 082785 
 
 3144 
 
 3503 
 
 3861 
 
 4219 
 
 4576 
 
 4934 
 
 5291 
 
 5647 
 
 6004 
 
 357 
 
 122 
 
 6360 
 
 6716 
 
 7071 
 
 7426 
 
 7781 
 
 8136 
 
 8490 
 
 8845 
 
 9198 
 
 9552 
 
 355 
 
 123 
 
 9905 
 
 *258 
 
 *611 
 
 *963 
 
 1315 
 
 1667 
 
 2018 
 
 2370 
 
 2721 
 
 3071 
 
 351 
 
 124 
 
 093422 
 
 3772 
 
 4122 
 
 4471 
 
 4820 
 
 5169 
 
 5518 
 
 5866 
 
 6215 
 
 6562 
 
 349 
 
 125 
 
 6910 
 
 7257 
 
 7604 
 
 7951 
 
 8298 
 
 8644 
 
 8990 
 
 9335 
 
 9681 
 
 **26 
 
 346 
 
 126 
 
 100371 
 
 0715 
 
 1059 
 
 1403 
 
 1747 
 
 2091 
 
 2434 
 
 2777 
 
 3119 
 
 3462 
 
 343 
 
 127 
 
 3804 
 
 4146 
 
 4487 
 
 4828 
 
 5169 
 
 5510 
 
 5851 
 
 6191 
 
 6531 
 
 6871 
 
 340 
 
 128 
 
 7210 
 
 7549 
 
 7888 
 
 8227 
 
 8565 
 
 8903 
 
 9241 
 
 9579 
 
 9916 
 
 *253 
 
 .338 
 
 129 
 
 110590 
 
 0926 
 
 1263 
 
 1599 
 
 1934 
 
 2270 
 
 2605 
 
 2940 
 
 3275 
 
 3609 
 
 335 
 
 130 
 
 113943 
 
 4277 
 
 4611 
 
 4944 
 
 5278 
 
 5611 
 
 5943 
 
 6276 
 
 6608 
 
 6940 
 
 333 
 
 131 
 
 7271 
 
 7603 
 
 7934 
 
 8265 
 
 8595 
 
 8926 
 
 9256 
 
 9586 
 
 9915- 
 
 *245 
 
 330 
 
 132 
 
 120574 
 
 0903 
 
 1231 
 
 1560 
 
 1888 
 
 2216 
 
 2544 
 
 2871 
 
 3198 
 
 3525 
 
 328 
 
 133 
 
 3852 
 
 4178 
 
 4504 
 
 4830 
 
 5156 
 
 5481 
 
 5806 
 
 6131 
 
 6456 
 
 6781 
 
 325 
 
 134 
 
 7105 
 
 7429 
 
 7753 
 
 8076 
 
 8399 
 
 8722 
 
 9045 
 
 0268 
 
 9690 
 
 **12 
 
 323 
 
 135 
 
 130334 
 
 0655 
 
 0977 
 
 1298 
 
 1619 
 
 1939 
 
 2260 
 
 *SO 
 
 2900 
 
 3219 
 
 321 
 
 136 
 
 3539 
 
 3858 
 
 4177 
 
 4496 
 
 4814 
 
 5133 
 
 5451 
 
 5769 
 
 6086 
 
 6403 
 
 318 
 
 137 
 
 6721 
 
 7037 
 
 7354 
 
 7671 
 
 7987 
 
 8303 
 
 8618 
 
 8934 
 
 9249 
 
 9564 
 
 315 
 
 138 
 
 9879 
 
 *194 
 
 *508 
 
 *S22 
 
 1'136 
 
 1450 
 
 1763 
 
 2076 
 
 2389 
 
 2702 
 
 314 
 
 139 
 
 143015 
 
 3327 
 
 3639 
 
 3951 
 
 4263 
 
 4574 
 
 4885 
 
 5196 
 
 5507 
 
 5818 
 
 311 
 
 140 
 
 146128 
 
 6438 
 
 6748 
 
 7058 
 
 7367 
 
 7676 
 
 7985 
 
 8294 
 
 8603 
 
 8911 
 
 309 
 
 141 
 
 9219 
 
 9527 
 
 9835 
 
 *142 
 
 *449 
 
 *756 
 
 1063 
 
 1370 
 
 1676 
 
 1982 
 
 307 
 
 142 
 
 152288 
 
 2594 
 
 2900 
 
 3205 
 
 3510 
 
 3815 
 
 4120 
 
 4424 
 
 4728 
 
 5032 
 
 305 
 
 143 
 
 5336 
 
 5640 
 
 5943 
 
 6246 
 
 6549 
 
 6852 
 
 7154 
 
 7457 
 
 7759 
 
 8061 
 
 303 
 
 144 
 
 8362 
 
 8664 
 
 8965 
 
 9266 
 
 9567 
 
 9868 
 
 *168 
 
 *469 
 
 *769 
 
 1068 
 
 301 
 
 145 
 
 161368 
 
 1667 
 
 1967 
 
 2266 
 
 2564 
 
 2863 
 
 3161 
 
 3460 
 
 3758 
 
 4055 
 
 299 
 
 146 
 
 4353 
 
 4650 
 
 4947 
 
 5244 
 
 5541 
 
 5838 
 
 6134 
 
 6430 
 
 6726 
 
 7022 
 
 297 
 
 147 
 
 7317 
 
 7613 
 
 7908 
 
 8203 
 
 8497 
 
 8792 
 
 9086 
 
 9380 
 
 9674 
 
 9968 
 
 295 
 
 148 
 
 170262 
 
 0555 
 
 0848 
 
 1141 
 
 1434 
 
 1726 
 
 2019 
 
 2311. 
 
 2603 
 
 2895 
 
 293 
 
 149 
 
 3186 
 
 3478 
 
 3769 
 
 4060 
 
 -4351 
 
 4641 
 
 4932 
 
 5222 
 
 5512 
 
 5802 
 
 291 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
48 
 
 TABLE XXIX (CONTINUED) 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 150 
 
 176091 
 
 6381 
 
 6670 
 
 6959 
 
 7248 
 
 7536 
 
 7825 
 
 8113 
 
 8401 
 
 8689 
 
 289 
 
 151 
 
 8977 
 
 9264 
 
 9552 
 
 9839 
 
 *126 
 
 *413 
 
 *699 
 
 *9SS 
 
 1272 
 
 1558 
 
 287 
 
 152 
 
 181844 
 
 2129 
 
 2415 
 
 2700 
 
 2985 
 
 3270 
 
 3555 
 
 3839 
 
 4123 
 
 4407 
 
 285 
 
 153 
 
 4691 
 
 4975 
 
 5259 
 
 5542 
 
 5825 
 
 6108 
 
 6391 
 
 6674 
 
 6956 
 
 7239 
 
 283 
 
 154 
 
 7521 
 
 7803 
 
 80S4 
 
 8366 
 
 8647 
 
 8928 
 
 9209 
 
 9490 
 
 9771 
 
 **51 
 
 281 
 
 155 
 
 190332 
 
 0612 
 
 0892 
 
 1171 
 
 1451 
 
 1730 
 
 2010 
 
 22S9 
 
 2567 
 
 2846 
 
 279 
 
 156 
 
 3125 
 
 3403 
 
 3681 
 
 3959 
 
 4237 
 
 4514 
 
 4792 
 
 5069 
 
 5346 
 
 5623 
 
 278 
 
 157 
 
 5899 
 
 6176 
 
 6453 
 
 6729 
 
 7005 
 
 7281 
 
 7556 
 
 7832 
 
 8107 
 
 8382 
 
 276 
 
 158 
 
 8657 
 
 8932 
 
 9206 
 
 9481 
 
 9755 
 
 **29 
 
 *303 
 
 *577 
 
 *S50 
 
 1124 
 
 274 
 
 159 
 
 201397 
 
 1670 
 
 1943 
 
 2216 
 
 2488 
 
 2761 
 
 3033 
 
 3305 
 
 3577 
 
 3848 
 
 272 
 
 160 
 
 204120 
 
 4391 
 
 4663 
 
 4934 
 
 5204 
 
 5475 
 
 5746 
 
 6016 
 
 6286 
 
 6556 
 
 271 
 
 161 
 
 6826 
 
 7096 
 
 7365 
 
 7634 
 
 7904 
 
 8173 
 
 8441 
 
 8710 
 
 8979 
 
 9247 
 
 269 
 
 162 
 
 9515 
 
 9783 
 
 **51 
 
 *319 
 
 *5S6 
 
 *S53 
 
 1121 
 
 13S8 
 
 1654 
 
 1921 
 
 267 
 
 163 
 
 2121S8 
 
 2454 
 
 2720 
 
 2986 
 
 3252 
 
 3518 
 
 3783 
 
 4049 
 
 4314 
 
 4579 
 
 266 
 
 164 
 
 4844 
 
 5109 
 
 5373 
 
 5638 
 
 5902 
 
 6166 
 
 6430 
 
 6694 
 
 6957 
 
 7221 
 
 264 
 
 165 
 
 7484 
 
 7747 
 
 8010 
 
 8273 
 
 8536 
 
 8798 
 
 9060 
 
 9323 
 
 9585 
 
 9846 
 
 262 
 
 166 
 
 220108 
 
 0370 
 
 0631 
 
 0892 
 
 1153 
 
 1414 
 
 1675 
 
 1936 
 
 2196 
 
 2456 
 
 261 
 
 167 
 
 2716 
 
 2976 
 
 3236 
 
 3496 
 
 3755 
 
 4015 
 
 4274 
 
 4533 
 
 4792 
 
 5051 
 
 259 
 
 168 
 
 5309 
 
 5568 
 
 5826 
 
 60S4 
 
 6342 
 
 6600 
 
 6858 
 
 7115 
 
 7372 
 
 7630 
 
 258 
 
 169 
 
 7887 
 
 8144 
 
 8400 
 
 8657 
 
 8913 
 
 9170 
 
 9426 
 
 9682 
 
 9938 
 
 *193 
 
 256 
 
 170 
 
 230449 
 
 0704 
 
 0960 
 
 1215 
 
 1470 
 
 1724 
 
 1979 
 
 2234 
 
 2488 
 
 2742 
 
 254 
 
 171 
 
 2996 
 
 3250 
 
 3504 
 
 3757 
 
 4011 
 
 4264 
 
 4517 
 
 4770 
 
 5023 
 
 5276 
 
 253 
 
 172 
 
 5528 
 
 5781 
 
 6033 
 
 6285 
 
 6537 
 
 6789 
 
 7041 
 
 7292 
 
 7544 
 
 7795 
 
 252 
 
 173 
 
 8046 
 
 8297 
 
 8548 
 
 8799 
 
 9049 
 
 9299 
 
 9550 
 
 9800 
 
 **50 
 
 *300 
 
 250 
 
 174 
 
 240549 
 
 0799 
 
 1048 
 
 1297 
 
 1546 
 
 1795 
 
 2044 
 
 2293 
 
 2541 
 
 2790 
 
 249 
 
 175 
 
 3038 
 
 3286 
 
 3534 
 
 3782 
 
 4030 
 
 4277 
 
 4525 
 
 4772 
 
 5019 
 
 5266 
 
 248 
 
 176 
 
 5513 
 
 5759 
 
 6006 
 
 6252 
 
 6499 
 
 6745 
 
 6991 
 
 7237 
 
 7482 
 
 7728 
 
 246 
 
 177 
 
 7973 
 
 8219 
 
 8464 
 
 8709 
 
 8954 
 
 9198 
 
 9443 
 
 9687 
 
 9932 
 
 *176 
 
 245 
 
 178 
 
 250420 
 
 0664 
 
 0908 
 
 1151 
 
 1395 
 
 1638 
 
 1881 
 
 2125 
 
 2368 
 
 2610 
 
 243 
 
 179 
 
 2853 
 
 3096 
 
 3338 
 
 3580 
 
 3822 
 
 4064 
 
 4306 
 
 4548 
 
 4790 
 
 5031 
 
 242 
 
 180 
 
 255273 
 
 5514 
 
 5755 
 
 5996 
 
 6237 
 
 6477 
 
 6718 
 
 6958 
 
 7198 
 
 7439 
 
 241 
 
 181 
 
 7679 
 
 7918 
 
 8158 
 
 8398 
 
 8637 
 
 8877 
 
 9116 
 
 9355 
 
 9594 
 
 9S33 
 
 239 
 
 182 
 
 260071 
 
 0310 
 
 0548 
 
 0787 
 
 1025 
 
 1263 
 
 1501 
 
 1739 
 
 1976 
 
 2214 
 
 238 
 
 183 
 
 2451 
 
 2688 
 
 2925 
 
 3162 
 
 3399 
 
 3636 
 
 3873 
 
 4109 
 
 4346 
 
 4582 
 
 237 
 
 184 
 
 4818 
 
 5054 
 
 5290 
 
 5525 
 
 5761 
 
 5996 
 
 6232 
 
 6467 
 
 6702 
 
 6937 
 
 235 
 
 185 
 
 7172 
 
 7406 
 
 T641 
 
 7875 
 
 8110 
 
 8344 
 
 8578 
 
 8812 
 
 9046 
 
 9279 
 
 234 
 
 186 
 
 9513 
 
 9746 
 
 9980 
 
 *213 
 
 *446 
 
 *679 
 
 *912 
 
 1144 
 
 1377 
 
 1609 
 
 233 
 
 187 
 
 271842 
 
 3074 
 
 2306 
 
 2538 
 
 2770 
 
 3001 
 
 3233 
 
 3464 
 
 3696 
 
 3927 
 
 232 
 
 188 
 
 4158 
 
 4389 
 
 4620 
 
 4850 
 
 5081 
 
 5311 
 
 5542 
 
 5772 
 
 6002 
 
 6232 
 
 230 
 
 189 
 
 6462 
 
 6692 
 
 6921 
 
 7151 
 
 7380 
 
 7609 
 
 7838 
 
 8067 
 
 8296 
 
 8525 
 
 229 
 
 190 
 
 278754 
 
 8982 
 
 9211 
 
 9439 
 
 9667 
 
 9895 
 
 *123 
 
 *351 
 
 *57S 
 
 *S06 
 
 228 
 
 191 
 
 281033 
 
 1261 
 
 1488 
 
 1715 
 
 1942 
 
 2169 
 
 2396 
 
 2622 
 
 2849 
 
 3075 
 
 227 
 
 192 
 
 3301 
 
 3527 
 
 3753 
 
 3979 
 
 4205 
 
 4431 
 
 4656 
 
 4882 
 
 5107 
 
 5332 
 
 226 
 
 193 
 
 5557 
 
 5782 
 
 6007 
 
 6232 
 
 6456 
 
 6681 
 
 6905 
 
 7130' 
 
 7354 
 
 7578 
 
 225 
 
 194 
 
 7802 
 
 8026 
 
 8249 
 
 8473 
 
 8696 
 
 8920 
 
 9143 
 
 9366 
 
 9589 
 
 9812 
 
 223 
 
 195 
 
 290035 
 
 0257 
 
 0480 
 
 0702 
 
 0925 
 
 1147 
 
 1369 
 
 1591 
 
 1813 
 
 2034 
 
 222 
 
 196 
 
 2256 
 
 2478 
 
 2699 
 
 2920 
 
 3141 
 
 3363 
 
 3584 
 
 3S04 
 
 4025 
 
 4246 
 
 221 
 
 197 
 
 4466 
 
 4687 
 
 4907 
 
 5127 
 
 5347 
 
 5567 
 
 5787 
 
 6007 
 
 6226 
 
 6446 
 
 220 
 
 198 
 
 6665 
 
 6884 
 
 7104 
 
 7323 
 
 7542 
 
 7761 
 
 7979 
 
 8198 
 
 8416 
 
 8635 
 
 219 
 
 199 
 
 8853 
 
 9071 
 
 9289 
 
 9507 
 
 9725 
 
 9943 
 
 *161 
 
 *378 
 
 *595 
 
 *S13 
 
 218 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
TABLE XXIX (CONTINUED) 
 
 49 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 200 
 
 301030 
 
 1247 
 
 1464 
 
 1681 
 
 1S98 
 
 2114 
 
 2331 
 
 2547 
 
 2764 
 
 2980 
 
 217 
 
 201 
 
 3196 
 
 3412 
 
 3628 
 
 3844 
 
 4059 
 
 4275 
 
 4491 
 
 4706 
 
 4921 
 
 5136 
 
 216 
 
 202 
 
 5351 
 
 5566 
 
 5781 
 
 5996 
 
 6211 
 
 6425 
 
 6639 
 
 6854 
 
 7068 
 
 7282 
 
 215 
 
 203 
 
 7496 
 
 7710 
 
 7924 
 
 8137 
 
 8351 
 
 8564 
 
 8778 
 
 8991 
 
 9204 
 
 9417 
 
 213 
 
 204 
 
 9630 
 
 9843 
 
 **56 
 
 *26S 
 
 *4S1 
 
 *693 
 
 *906 
 
 1118 
 
 1330 
 
 1542 
 
 212 
 
 205 
 
 311754 
 
 1966 
 
 2177 
 
 2389 
 
 2600 
 
 2812 
 
 3023 
 
 3234 
 
 3445 
 
 3656 
 
 211 
 
 206 
 
 3867 
 
 4078 
 
 4289 
 
 4499 
 
 4710 
 
 4920 
 
 5130 
 
 5340 
 
 5551 
 
 5760 
 
 210 
 
 207 
 
 5970 
 
 6180 
 
 6390 
 
 6599 
 
 6809 
 
 7018 
 
 7227 
 
 7436 
 
 7646 
 
 7854 
 
 209 
 
 208 
 
 8063 
 
 8272 
 
 8481 
 
 8689 
 
 8898 
 
 9106 
 
 9314 
 
 9522 
 
 9730 
 
 9938 
 
 208 
 
 209 
 
 320146 
 
 0354 
 
 0562 
 
 0769 
 
 0977 
 
 1184 
 
 1391 
 
 1598 
 
 1805 
 
 2012 
 
 207 
 
 210 
 
 322219 
 
 2426 
 
 2633 
 
 2839 
 
 3046 
 
 3252 
 
 3458 
 
 3665 
 
 3871 
 
 4077 
 
 206 
 
 211 
 
 4282 
 
 4488 
 
 4694 
 
 4899 
 
 5105 
 
 5310 
 
 5516 
 
 5721 
 
 5926 
 
 6131 
 
 205 
 
 212 
 
 6336 
 
 6541 
 
 6745 
 
 6950 
 
 7155 
 
 7359 
 
 7563 
 
 7767 
 
 7972 
 
 8176 
 
 204 
 
 213 
 
 8380 
 
 8583 
 
 8787 
 
 8991 
 
 9194 
 
 9398 
 
 9601 
 
 9805 
 
 ***s 
 
 *211 
 
 203 
 
 214 
 
 330414 
 
 0617 
 
 0819 
 
 1022 
 
 1225 
 
 1427 
 
 1630 
 
 1832 
 
 2034 
 
 2236 
 
 202 
 
 215 
 
 2438 
 
 2640 
 
 2842 
 
 3044 
 
 3246 
 
 3447 
 
 3649 
 
 3850 
 
 4051 
 
 4253 
 
 202 
 
 216 
 
 4454 
 
 4655 
 
 4856 
 
 5057 
 
 5257 
 
 5458 
 
 5658 
 
 5859 
 
 6059 
 
 6260 
 
 201 
 
 217 
 
 6460 
 
 6660 
 
 6860 
 
 7060 
 
 7260 
 
 7459 
 
 7659 
 
 7858 
 
 8058 
 
 8257 
 
 200 
 
 218 
 
 8456 
 
 8656 
 
 8855 
 
 9054 
 
 9253 
 
 9451 
 
 9650 
 
 9849 
 
 **47 
 
 *246 
 
 199 
 
 219 
 
 340444 
 
 0642 
 
 0841 
 
 1039 
 
 1237 
 
 1435 
 
 1632 
 
 1830 
 
 2028 
 
 2225 
 
 198 
 
 220 
 
 342423 
 
 2620 
 
 2817" 
 
 3014 
 
 3212 
 
 3409 
 
 3606 
 
 3802 
 
 3999 
 
 4196 
 
 197 
 
 221 
 
 4392 
 
 4589 
 
 4785 
 
 4981 
 
 5178 
 
 5374 
 
 5570 
 
 5766 
 
 5962 
 
 6157 
 
 196 
 
 222 
 
 6353 
 
 6549 
 
 6744 
 
 6939 
 
 7135 
 
 7330 
 
 7525 
 
 7720 
 
 7915 
 
 8110 
 
 195 
 
 223 
 
 8305 
 
 8500 
 
 8694 
 
 8889 
 
 9083 
 
 9278 
 
 9472 
 
 9666 
 
 9860 
 
 **54 
 
 194 
 
 224 
 
 350248 
 
 0442 
 
 0636 
 
 0829 
 
 1023 
 
 1216 
 
 1410 
 
 1603 
 
 1796 
 
 1989 
 
 193 
 
 225 
 
 2183 
 
 2375 
 
 2568 
 
 2761 
 
 2954 
 
 3147 
 
 3339 
 
 3532 
 
 3724 
 
 3916 
 
 193 
 
 226 
 
 4108 
 
 4301 
 
 4493 
 
 4685 
 
 4876 
 
 5068 
 
 5260 
 
 5452 
 
 5643 
 
 5834 
 
 192 
 
 227 
 
 6026 
 
 6217 
 
 6408 
 
 6599 
 
 6790 
 
 6981 
 
 7172 
 
 7363 
 
 75^4 
 
 7744 
 
 191 
 
 228 
 
 7935 
 
 8125 
 
 8316 
 
 8506 
 
 8696 
 
 8886 
 
 9076 
 
 9266 
 
 9456 
 
 9646 
 
 190 
 
 229 
 
 9835 
 
 **25 
 
 *215 
 
 *404 
 
 *593 
 
 *7S3 
 
 *972 
 
 1161 
 
 1350 
 
 1539 
 
 189 
 
 230 
 
 361728 
 
 1917 
 
 2105 
 
 2294 
 
 2482 
 
 2671 
 
 2859 
 
 3048 
 
 3236 
 
 3424 
 
 188 
 
 231 
 
 3612 
 
 3800 
 
 3988 
 
 4176 
 
 4363 
 
 4551 
 
 4739 
 
 4926 
 
 5113 
 
 5301 
 
 188 
 
 232 
 
 5488 
 
 5675 
 
 5862 
 
 6049 
 
 6236 
 
 6423 
 
 6610 
 
 6796 
 
 6983 
 
 7169 
 
 187 
 
 233 
 
 7356 
 
 7542 
 
 7729 
 
 7915 
 
 8101 
 
 8287 
 
 8473 
 
 8659 
 
 8845 
 
 9030 
 
 186 
 
 234 
 
 9216 
 
 9401 
 
 9587 
 
 9772 
 
 9958 
 
 *143 
 
 *328 
 
 *513 
 
 *69S 
 
 *SS3 
 
 185 
 
 235 
 
 371068 
 
 1253 
 
 1437 
 
 1622 
 
 1806 
 
 1991 
 
 2175 
 
 2360 
 
 2544 
 
 2728 
 
 184 
 
 236 
 
 2912 
 
 3096 
 
 3280 
 
 3464 
 
 3647 
 
 3831 
 
 4015 
 
 4198 
 
 4382 
 
 4565 
 
 184 
 
 237 
 
 4748 
 
 4932 
 
 5115 
 
 5298 
 
 5481 
 
 5664 
 
 5846 
 
 6029 
 
 6212 
 
 6394 
 
 183 
 
 238 
 
 6577 
 
 6759 
 
 6942 
 
 7124 
 
 7306 
 
 7488 
 
 7670 
 
 7852 
 
 8034 
 
 8216 
 
 182 
 
 239 
 
 8398 
 
 8580 
 
 8761 
 
 8943 
 
 9124 
 
 9306 
 
 9487 
 
 9668 
 
 9849 
 
 **30 
 
 181 
 
 240 
 
 380211 
 
 0392 
 
 0573 
 
 0754 
 
 0934 
 
 1115 
 
 1296 
 
 1476 
 
 1656 
 
 1837 
 
 181 
 
 241 
 
 2017 
 
 2197 
 
 2377 
 
 2557 
 
 2737 
 
 2917 
 
 3097 
 
 3277 
 
 3456 
 
 3636 
 
 180 
 
 242 
 
 3815 
 
 3995 
 
 4174 
 
 4353 
 
 4533 
 
 4712 
 
 4891 
 
 5070 
 
 5249 
 
 5428 
 
 179 
 
 243 
 
 5606 
 
 5785 
 
 5964 
 
 6142 
 
 6321 
 
 6499 
 
 6677 
 
 6856 
 
 7034 
 
 7212 
 
 178 
 
 244 
 
 7390 
 
 7568 
 
 7746 
 
 7923 
 
 8101 
 
 8279 
 
 8456 
 
 8634 
 
 8811 
 
 8989 
 
 178 
 
 245 
 
 9166 
 
 9343 
 
 9520 
 
 9698 
 
 9875 
 
 **51 
 
 *228 
 
 *405 
 
 *582 
 
 *759 
 
 177 
 
 246 
 
 390935 
 
 1112 
 
 1288 
 
 1464 
 
 1641 
 
 1817 
 
 1993 
 
 2169 
 
 2345 
 
 2521 
 
 176 
 
 247 
 
 2697 
 
 2873 
 
 3048 
 
 3224 
 
 3400 
 
 3575 
 
 3751 
 
 3926 
 
 4101 
 
 4277 
 
 176 
 
 248 
 
 4452 
 
 4627 
 
 4802 
 
 4977 
 
 5152 
 
 5326 
 
 5501 
 
 5676 
 
 5850 
 
 6025 
 
 175 
 
 249 
 
 6199 
 
 6374 
 
 6548 
 
 6722 
 
 6896 
 
 7071 
 
 7245 
 
 7419 
 
 7592 
 
 7766 
 
 174 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
50 
 
 TABLE XXIX (CONTINUED) 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 250 
 
 397940 
 
 8114 
 
 8287 
 
 8461 
 
 8634 
 
 8808 
 
 8981 
 
 9154 
 
 9328 
 
 9501 
 
 173 
 
 251 
 
 9674 
 
 9847 
 
 **20 
 
 *192 
 
 *365 
 
 *538 
 
 *711 
 
 *SS3 
 
 1056 
 
 1228 
 
 173 
 
 252 
 
 401401 
 
 1573 
 
 1745 
 
 1917 
 
 2089 
 
 2261 
 
 2433 
 
 2605 
 
 2777 
 
 2949 
 
 172 
 
 253 
 
 3121 
 
 3292 
 
 3464 
 
 3635 
 
 3807 
 
 3978 
 
 4149 
 
 4320 
 
 4492 
 
 4663 
 
 171 
 
 254 
 
 4834 
 
 5005 
 
 5176 
 
 5346 
 
 5517 
 
 5688 
 
 5858 
 
 6029 
 
 6199 
 
 6370 
 
 171 
 
 255 
 
 6540 
 
 6710 
 
 6881 
 
 7051 
 
 7221 
 
 7391 
 
 7561 
 
 7731 
 
 7901 
 
 8070 
 
 170 
 
 256 
 
 8240 
 
 8410 
 
 8579 
 
 8749 
 
 8918 
 
 9087 
 
 9257 
 
 9426 
 
 9595 
 
 9764 
 
 169 
 
 257 
 
 9933 
 
 *102 
 
 *271 
 
 *440 
 
 *609 
 
 *777 
 
 *946 
 
 1114 
 
 1283 
 
 1451 
 
 169 
 
 258 
 
 411620 
 
 17S8 
 
 1956 
 
 2124 
 
 2293 
 
 2461 
 
 2629 
 
 2796 
 
 2964 
 
 3132 
 
 168 
 
 259 
 
 3300 
 
 3467 
 
 3635 
 
 3803 
 
 3970 
 
 4137 
 
 4305 
 
 4472 
 
 4639 
 
 4806 
 
 167 
 
 260 
 
 414973 
 
 5140 
 
 5307 
 
 5474 
 
 5641 
 
 5808 
 
 5974 
 
 6141 
 
 6308 
 
 6474 
 
 167 
 
 261 
 
 6641 
 
 6807 
 
 6973 
 
 7139 
 
 7306 
 
 7472 
 
 7638 
 
 7804 
 
 7970 
 
 8135 
 
 166 
 
 262 
 
 8301 
 
 8467 
 
 8633 
 
 8798 
 
 8964 
 
 9129 
 
 9295 
 
 9460 
 
 9625 
 
 9791 
 
 165 
 
 263 
 
 9956 
 
 *121 
 
 *286 
 
 *451 
 
 *616 
 
 *781 
 
 *945 
 
 1110 
 
 1275 
 
 1439 
 
 165 
 
 264 
 
 421604 
 
 1788 
 
 1933 
 
 2097 
 
 2261 
 
 2426 
 
 2590 
 
 2754 
 
 2918 
 
 3082 
 
 164 
 
 265 
 
 3246 
 
 3410 
 
 3574 
 
 3737 
 
 -3901 
 
 4065 
 
 4228 
 
 4392 
 
 4555 
 
 4718 
 
 164 
 
 266 
 
 4882 
 
 5045 
 
 5208 
 
 5371 
 
 5534 
 
 5697 
 
 5860 
 
 6023 
 
 61S6 
 
 6349 
 
 163 
 
 267 
 
 6511 
 
 6674 
 
 6836 
 
 6999 
 
 7161 
 
 7324 
 
 7486 
 
 7648 
 
 7811 
 
 7973 
 
 162 
 
 268 
 
 8135 
 
 8297 
 
 8459 
 
 8621 
 
 8783 
 
 8944 
 
 9106 
 
 9268 
 
 9429 
 
 9591 
 
 162 
 
 269 
 
 9752 
 
 9914 
 
 **75 
 
 *236 
 
 *398 
 
 *559 
 
 *720 
 
 *881 
 
 1042 
 
 1203 
 
 161 
 
 270 
 
 431364 
 
 1525 
 
 1685 
 
 1846 
 
 2007 
 
 2167 
 
 2328 
 
 2488 
 
 2649 
 
 2809 
 
 161 
 
 271 
 
 2969 
 
 3130 
 
 3290 
 
 3450 
 
 3610 
 
 3770 
 
 3930 
 
 4090 
 
 4249 
 
 4409 
 
 160 
 
 272 
 
 4569 
 
 4729 
 
 4888 
 
 5048 
 
 5207 
 
 5367 
 
 5526 
 
 5685 
 
 5844 
 
 6004 
 
 159 
 
 273. 
 
 6163 
 
 6322 
 
 6481 
 
 6640 
 
 6798 
 
 6957 
 
 7116 
 
 7275 
 
 7433 
 
 7592 
 
 159 
 
 274 
 
 7751 
 
 7909 
 
 8067 
 
 8226 
 
 8384 
 
 8542 
 
 8701 
 
 8859 
 
 9017 
 
 9175 
 
 158 
 
 275 
 
 9333 
 
 9491 
 
 9648 
 
 9806 
 
 9964 
 
 *122 
 
 *279 
 
 *437 
 
 *594 
 
 *752 
 
 158 
 
 276 
 
 440909 
 
 1066 
 
 1224 
 
 1381 
 
 1538 
 
 1695 
 
 1852 
 
 2009 
 
 2166 
 
 2323 
 
 157 
 
 277 
 
 2480 
 
 .263 7 
 
 2793 
 
 2950 
 
 3106 
 
 3263 
 
 3419 
 
 3576 
 
 3732 
 
 3889 
 
 157 
 
 278 
 
 4045 
 
 4201 
 
 4357 
 
 4513 
 
 4669 
 
 4825 
 
 4981 
 
 5137 
 
 5293 
 
 5449 
 
 156 
 
 279 
 
 5604 
 
 5760 
 
 5915 
 
 6071 
 
 6226 
 
 6382 
 
 6537 
 
 6692 
 
 6848 
 
 7003 
 
 155 
 
 280 
 
 447158 
 
 7313 
 
 7468 
 
 7623 
 
 7778 
 
 7933 
 
 8088 
 
 8242 
 
 8397 
 
 8552 
 
 155 
 
 281 
 
 8706 
 
 8861 
 
 9015 
 
 9170 
 
 9324 
 
 9478 
 
 9633 
 
 9787 
 
 9941 
 
 **95 
 
 154 
 
 282 
 
 450249 
 
 0403 
 
 0557 
 
 0711 
 
 0865 
 
 1018 
 
 1172 
 
 1326 
 
 1479 
 
 1633 
 
 154 
 
 283 
 
 1786 
 
 1940 
 
 2093 
 
 2247 
 
 2400 
 
 2553 
 
 2706 
 
 2859 
 
 3012 
 
 3165 
 
 153 
 
 284 
 
 3318 
 
 3471 
 
 3624 
 
 3777 
 
 3930 
 
 40S2 
 
 4235 
 
 4387 
 
 4540 
 
 4692 
 
 153 
 
 285 
 
 4845 
 
 4997 
 
 5150 
 
 5302 
 
 5454 
 
 5606 
 
 5758 
 
 5910 
 
 6062 
 
 6214 
 
 152 
 
 286 
 
 6366 
 
 6518 
 
 6670 
 
 6821 
 
 6973 
 
 7125 
 
 7276 
 
 7428 
 
 7579 
 
 7731 
 
 152 
 
 287 
 
 7882 
 
 8033 
 
 8184 
 
 8336 
 
 8487 
 
 8638 
 
 8789 
 
 8940 
 
 9091 
 
 9242 
 
 151 
 
 288 
 
 9392 
 
 9543 
 
 9694 
 
 9845 
 
 9995 
 
 *146 
 
 *296 
 
 *447 
 
 *597 
 
 *74S 
 
 151 
 
 289 
 
 460898 
 
 1048 
 
 1198 
 
 1348 
 
 1499 
 
 1649 
 
 1799 
 
 1948 
 
 2098 
 
 2248 
 
 150 
 
 290 
 
 462398 
 
 2548 
 
 2697 
 
 2847 
 
 2997 
 
 3146 
 
 3296 
 
 3445 
 
 3594 
 
 3744 
 
 150 
 
 291 
 
 3893 
 
 4042 
 
 4191 
 
 4340 
 
 4490 
 
 4639 
 
 47S8 
 
 4936 
 
 5085 
 
 5234 
 
 149 
 
 292 
 
 5383 
 
 5532 
 
 5680 
 
 5829 
 
 5977 
 
 6126 
 
 6274 
 
 6423 
 
 6571 
 
 6719 
 
 149 
 
 293 
 
 6868 
 
 7016 
 
 7164 
 
 7312 
 
 7460 
 
 7608 
 
 7756 
 
 7904 
 
 8052 
 
 8200 
 
 148 
 
 294 
 
 8347 
 
 8495 
 
 8643 
 
 8790 
 
 8938 
 
 9085 
 
 9233 
 
 9380 
 
 9527 
 
 9675 
 
 148 
 
 295 
 
 9822 
 
 9969 
 
 *116 
 
 *263 
 
 *410 
 
 *557 
 
 *704 
 
 *851 
 
 *99S 
 
 1145 
 
 147 
 
 296 
 
 471292 
 
 1438 
 
 1585 
 
 1732 
 
 1878 
 
 2025 
 
 2171 
 
 2318 
 
 2464 
 
 2610 
 
 146 
 
 297 
 
 2756 
 
 2903 
 
 3049 
 
 3195 
 
 3341 
 
 3487 
 
 3633 
 
 3779 
 
 3925 
 
 4071 
 
 146 
 
 298 
 
 4216 
 
 4362 
 
 4508 
 
 4653 
 
 4799 
 
 4944 
 
 5090 
 
 5235 
 
 5381 
 
 5526 
 
 146 
 
 299 
 
 5671 
 
 5816 
 
 5962 
 
 6107 
 
 6252 
 
 6397 
 
 6542 
 
 6687 
 
 6832 
 
 6976 
 
 145 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
TABLE XXIX (CONTINUED) 
 
 51 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 300 
 
 477121 
 
 7266 
 
 7411 
 
 7555 
 
 7700 
 
 7844 
 
 7989 
 
 8133 
 
 8278 
 
 8422 
 
 145 
 
 301 
 
 8566 
 
 8711 
 
 8855 
 
 8999 
 
 9143 
 
 9287 
 
 9431 
 
 9575 
 
 9719 
 
 9863 
 
 144 
 
 302 
 
 480007 
 
 0151 
 
 0294 
 
 0438 
 
 0582 
 
 0725 
 
 0869 
 
 1012 
 
 1156 
 
 1299 
 
 144 
 
 303 
 
 1443 
 
 1586 
 
 1729 
 
 1872 
 
 2016 
 
 2159 
 
 2302 
 
 2445 
 
 2588 
 
 2731 
 
 143 
 
 304 
 
 2874 
 
 3016 
 
 3159 
 
 3302 
 
 3445 
 
 3587 
 
 3730 
 
 3872 
 
 4015 
 
 4157 
 
 143 
 
 305 
 
 4300 
 
 4442 
 
 4585 
 
 4727 
 
 4869 
 
 5011 
 
 5153 
 
 5295 
 
 5437 
 
 5579 
 
 142 
 
 306 
 
 5721 
 
 5863 
 
 6005 
 
 6147 
 
 6289 
 
 6430 
 
 6572 
 
 6714 
 
 6855 
 
 6997 
 
 142 
 
 307 
 
 7138 
 
 7280 
 
 7421 
 
 7563 
 
 7704 
 
 7845 
 
 7986 
 
 8127 
 
 8269 
 
 8410 
 
 141 
 
 308 
 
 8551 
 
 8692 
 
 8833 
 
 8974 
 
 9114 
 
 9255 
 
 9396 
 
 9537 
 
 9677 
 
 9818 
 
 141 
 
 309 
 
 9958 
 
 **99 
 
 *239 
 
 *380 
 
 *520 
 
 *661 
 
 *801 
 
 #941 
 
 1081 
 
 1222 
 
 140 
 
 310 
 
 491362 
 
 1502 
 
 1642 
 
 1782 
 
 1922 
 
 2062 
 
 2201 
 
 2341 
 
 2481 
 
 2621 
 
 140 
 
 311 
 
 2760 
 
 2900 
 
 3040 
 
 3179 
 
 3319 
 
 3458 
 
 3597 
 
 3737 
 
 3876 
 
 4015 
 
 139 
 
 312 
 
 4155 
 
 4294 
 
 4433 
 
 4572 
 
 4711 
 
 4850 
 
 4989 
 
 5128 
 
 5267 
 
 5406 
 
 139 
 
 313 
 
 5544 
 
 5683 
 
 5822 
 
 5960 
 
 6099 
 
 6238 
 
 6376 
 
 6515 
 
 6653 
 
 6791 
 
 139 
 
 314 
 
 6930 
 
 7068 
 
 7206 
 
 7344 
 
 7483 
 
 7621 
 
 7759 
 
 7897 
 
 8035 
 
 8173 
 
 138 
 
 315 
 
 8311 
 
 8448 
 
 8586 
 
 8724 
 
 8862 
 
 8999 
 
 9137 
 
 9275 
 
 9412 
 
 9550 
 
 138 
 
 316 
 
 9687 
 
 9824 
 
 9962 
 
 **99 
 
 *236 
 
 *374 
 
 *511 
 
 *64S 
 
 *785 
 
 *922 
 
 137 
 
 317 
 
 501059 
 
 1196 
 
 1333 
 
 1470 
 
 1607 
 
 1744 
 
 1880 
 
 2017 
 
 2154 
 
 2291 
 
 137 
 
 318 
 
 2427 
 
 2564 
 
 2700 
 
 2837 
 
 2973 
 
 3109 
 
 3246 
 
 3382 
 
 3518 
 
 3655 
 
 136 
 
 319 
 
 3791 
 
 3927 
 
 4063 
 
 4199 
 
 4335 
 
 4471 
 
 4607 
 
 4743 
 
 4878 
 
 5014 
 
 136 
 
 320 
 
 505150 
 
 5286 
 
 5421 
 
 5557 
 
 5693 
 
 5828 
 
 5964 
 
 6099 
 
 6234 
 
 6370 
 
 136 
 
 321 
 
 6505 
 
 6640 
 
 6776 
 
 6911 
 
 7046 
 
 7181 
 
 7316 
 
 7451 
 
 7586 
 
 7721 
 
 135 
 
 322 
 
 7856 
 
 7991 
 
 8126 
 
 8260 
 
 8395 
 
 8530 
 
 8664 
 
 8799 
 
 8934 
 
 9068 
 
 135 
 
 323 
 
 9203 
 
 9337 
 
 9471 
 
 9606 
 
 9740 
 
 9874 
 
 *#*9 
 
 *143 
 
 *277 
 
 *411 
 
 134 
 
 324 
 
 510545 
 
 0679 
 
 0813 
 
 0947 
 
 1081 
 
 1215 
 
 1349 
 
 1482 
 
 1616 
 
 1750 
 
 134 
 
 325 
 
 1883 
 
 2017 
 
 2151 
 
 2284 
 
 2418 
 
 2551 
 
 2684 
 
 2818 
 
 2951 
 
 3084 
 
 133 
 
 326 
 
 3218 
 
 3351 
 
 3484 
 
 3617 
 
 3750 
 
 3883 
 
 4016 
 
 4149 
 
 4282 
 
 4414 
 
 133 
 
 327 
 
 4548 
 
 4681 
 
 4813 
 
 4946 
 
 5079 
 
 5211 
 
 5344 
 
 5476 
 
 5609 
 
 5741 
 
 133 
 
 328 
 
 5874 
 
 6006 
 
 6139 
 
 6271 
 
 6403 
 
 6535 
 
 6668 
 
 6800 
 
 6932 
 
 7064 
 
 132 
 
 329 
 
 7196 
 
 7328 
 
 7460 
 
 7592 
 
 7724 
 
 7855 
 
 7987 
 
 8119 
 
 8251 
 
 8382 
 
 132 
 
 330 
 
 518514 
 
 8646 
 
 8777 
 
 8909 
 
 9040 
 
 9171 
 
 9303 
 
 9434 
 
 9566 
 
 9697 
 
 131 
 
 331 
 
 9828 
 
 9959 
 
 **90 
 
 *221 
 
 *353 
 
 *4S4 
 
 *615 
 
 *745 
 
 *876 
 
 1007 
 
 131 
 
 332 
 
 521138 
 
 1269 
 
 1400 
 
 1530 
 
 1661 
 
 1792 
 
 1922 
 
 2053 
 
 2183 
 
 2314 
 
 131 
 
 333 
 
 2444 
 
 2575 
 
 2705 
 
 2835 
 
 2966 
 
 3096 
 
 3226 
 
 3356 
 
 3486 
 
 3616 
 
 130 
 
 334 
 
 3746 
 
 3876 
 
 4006 
 
 4136 
 
 4266 
 
 4396 
 
 4526 
 
 4656 
 
 4785 
 
 4915 
 
 130 
 
 335 
 
 5045 
 
 5174 
 
 5304 
 
 5434 
 
 5563 
 
 5693 
 
 5822 
 
 5951 
 
 6081 
 
 6210 
 
 129 
 
 336 
 
 6339 
 
 6469 
 
 6598 
 
 6727 
 
 6856 
 
 6985 
 
 7114 
 
 7243 
 
 7372 
 
 7501 
 
 129 
 
 337 
 
 7630 
 
 7759 
 
 7888 
 
 8016 
 
 8145 
 
 8274 
 
 8402 
 
 8531 
 
 8660 
 
 8788 
 
 129 
 
 338 
 
 8917 
 
 9045 
 
 9174 
 
 9302 
 
 9430 
 
 9559 
 
 9687 
 
 9815 
 
 9943 
 
 **72 
 
 128 
 
 339 
 
 530200 
 
 0328 
 
 0456 
 
 0584 
 
 0712 
 
 0840 
 
 0968 
 
 1096 
 
 1223 
 
 1351 
 
 128 
 
 340 
 
 531479 
 
 1607 
 
 1734 
 
 1862 
 
 1990 
 
 2117 
 
 2245 
 
 2372 
 
 2500 
 
 2627 
 
 128 
 
 341 
 
 2754 
 
 2882 
 
 3009 
 
 3136 
 
 3264 
 
 3391 
 
 3518 
 
 3645 
 
 3772 
 
 3899 
 
 127 
 
 342 
 
 4026 
 
 4153 
 
 4280 
 
 4407 
 
 4534 
 
 4661 
 
 4787 
 
 4914 
 
 5041 
 
 5167 
 
 127 
 
 343 
 
 5294 
 
 5421 
 
 5547 
 
 5674 
 
 5800 
 
 5927 
 
 6053 
 
 6180 
 
 6306 
 
 6432 
 
 126 
 
 344 
 
 6558 
 
 6685 
 
 6811 
 
 6937 
 
 7063 
 
 7189 
 
 7315 
 
 7441 
 
 7567 
 
 7693 
 
 126 
 
 345 
 
 7819 
 
 7945 
 
 8071 
 
 8197 
 
 8322 
 
 8448 
 
 8574 
 
 8699 
 
 8825 
 
 8951 
 
 126 
 
 346 
 
 9076 
 
 9202 
 
 9327 
 
 9452 
 
 9578 
 
 9703 
 
 9829 
 
 9954 
 
 **79 
 
 *204 
 
 125 
 
 347 
 
 540329 
 
 0455 
 
 0580 
 
 0705 
 
 0830 
 
 0955 
 
 1080 
 
 1205 
 
 1330 
 
 1454 
 
 125 
 
 348 
 
 1579 
 
 1704 
 
 1829 
 
 1953 
 
 2078 
 
 2203 
 
 2327 
 
 2452 
 
 2576 
 
 2701 
 
 125 
 
 349 
 
 2825 
 
 2950 
 
 3074 
 
 3199 
 
 3323 
 
 3447 
 
 3571 
 
 3696 
 
 3820 
 
 3944 
 
 124 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
52 
 
 TABLE XXIX (CONTINUED) 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 350 
 
 544068 
 
 4192 
 
 4316 
 
 4440 
 
 4564 
 
 4688 
 
 4812 
 
 4936 
 
 5060 
 
 5183 
 
 124 
 
 351 
 
 5307 
 
 5431 
 
 5555 
 
 5678 
 
 5802 
 
 5925 
 
 6049 
 
 6172 
 
 6296 
 
 6419 
 
 124 
 
 352 
 
 6543 
 
 6666 
 
 6789 
 
 6913 
 
 7036 
 
 7159 
 
 7282 
 
 7405 
 
 7529 
 
 7652 
 
 123 
 
 353 
 
 7775 
 
 7898 
 
 8021 
 
 8144 
 
 8267 
 
 83S9 
 
 8512 
 
 8635 
 
 8758 
 
 8881 
 
 123 
 
 354 
 
 9003 
 
 9126 
 
 9249 
 
 9371 
 
 9494 
 
 9616 
 
 9739 
 
 9861 
 
 9984 
 
 *106 
 
 123 
 
 355 
 
 550228 
 
 0351 
 
 0473 
 
 0595 
 
 0717 
 
 0840 
 
 0962 
 
 1084 
 
 1206 
 
 1328 
 
 122 
 
 356 
 
 1450 
 
 1572 
 
 1694 
 
 1816 
 
 1938 
 
 2060 
 
 2181 
 
 2303 
 
 2425 
 
 2547 
 
 122 
 
 357 
 
 2668 
 
 2790 
 
 2911 
 
 3033 
 
 3155 
 
 3276 
 
 3398 
 
 3519 
 
 3640 
 
 3762 
 
 121 
 
 358 
 
 3883 
 
 4004 
 
 4126 
 
 4247 
 
 4368 
 
 4489 
 
 4610 
 
 4731 
 
 4852 
 
 4973 
 
 121 
 
 359 
 
 5094 
 
 5215 
 
 5336 
 
 5457 
 
 5578 
 
 5699 
 
 5820 
 
 5940 
 
 6061 
 
 6182 
 
 121 
 
 360 
 
 556303 
 
 6423 
 
 6544 
 
 6664 
 
 6785 
 
 6905 
 
 7026 
 
 7146 
 
 7267 
 
 7387 
 
 120 
 
 361 
 
 7507 
 
 7627 
 
 7748 
 
 7868 
 
 7988 
 
 8108 
 
 8228 
 
 8349 
 
 8469 
 
 8589 
 
 120 
 
 362 
 
 8709 
 
 8829 
 
 8948 
 
 9068 
 
 9188 
 
 9308 
 
 9428 
 
 9548 
 
 9667 
 
 9787 
 
 120 
 
 363 
 
 9907 
 
 **26 
 
 *146 
 
 *265 
 
 *385 
 
 *504 
 
 *624 
 
 *743 
 
 *863 
 
 *982 
 
 119 
 
 364 
 
 561101 
 
 1221 
 
 1340 
 
 1459 
 
 1578 
 
 1698 
 
 1817 
 
 1936 
 
 2055 
 
 2174 
 
 119 
 
 365 
 
 2293 
 
 2412 
 
 2531 
 
 2650 
 
 2769 
 
 2887 
 
 3006 
 
 3125 
 
 3244 
 
 3362 
 
 119 
 
 366 
 
 3481 
 
 3600 
 
 3718 
 
 3837 
 
 3955 
 
 4074 
 
 4192 
 
 4311 
 
 4429 
 
 4548 
 
 119 
 
 367 
 
 4666 
 
 4784 
 
 4903 
 
 5021 
 
 5139 
 
 5257 
 
 5376 
 
 5494 
 
 5612 
 
 5730 
 
 118 
 
 368 
 
 5848 
 
 5966 
 
 6084 
 
 6202 
 
 6320 
 
 6437 
 
 6555 
 
 6673 
 
 6791 
 
 6909 
 
 118 
 
 369 
 
 7026 
 
 7144 
 
 7262 
 
 7379 
 
 7497 
 
 7614 
 
 7732 
 
 7849 
 
 7967 
 
 8084 
 
 118 
 
 370 
 
 568202 
 
 8319 
 
 8436 
 
 8554 
 
 8671 
 
 8788 
 
 8905 
 
 9023 
 
 9140 
 
 9257 
 
 117 
 
 371 
 
 9374 
 
 9491 
 
 9608 
 
 9725 
 
 9842 
 
 9959 
 
 **76 
 
 *193 
 
 *309 
 
 *426 
 
 117 
 
 372 
 
 570543 
 
 0660 
 
 0776 
 
 0893 
 
 1010 
 
 1126 
 
 1243 
 
 1359 
 
 1476 
 
 1592 
 
 117 
 
 373 
 
 1709 
 
 1825 
 
 1942 
 
 2058 
 
 2174 
 
 2291 
 
 2407 
 
 2523 
 
 2639 
 
 2755 
 
 116 
 
 574 
 
 2872 
 
 2988 
 
 3104 
 
 3220 
 
 3336 
 
 3452 
 
 3568 
 
 3684 
 
 3800 
 
 3915 
 
 116 
 
 375 
 
 4031 
 
 4147 
 
 4263 
 
 4379 
 
 4494 
 
 4610 
 
 4726 
 
 4841 
 
 4957 
 
 5072 
 
 116 
 
 376 
 
 5188 
 
 5303 
 
 5419 
 
 5534 
 
 5650 
 
 5765 
 
 5880 
 
 5996 
 
 6111 
 
 6226 
 
 115 
 
 377 
 
 6341 
 
 6457 
 
 6572 
 
 6687 
 
 6802 
 
 6917 
 
 7032 
 
 7147 
 
 7262 
 
 7377 
 
 115 
 
 378 
 
 7492 
 
 7607 
 
 7722 
 
 7836 
 
 7951 
 
 8066 
 
 8181 
 
 8295 
 
 8410 
 
 8525 
 
 115 
 
 379 
 
 8639 
 
 8754 
 
 8868 
 
 8983 
 
 9097 
 
 9212 
 
 9326 
 
 9441 
 
 9555 
 
 9669 
 
 114 
 
 > 380 
 
 579784 
 
 9898 
 
 **12 
 
 *126 
 
 *241 
 
 *355 
 
 *469 
 
 *5S3 
 
 *697 
 
 *811 
 
 114 
 
 381 
 
 580925 
 
 1039 
 
 1153 
 
 1267 
 
 1381 
 
 1495 
 
 1608 
 
 1722 
 
 1836 
 
 1950 
 
 114 
 
 382 
 
 2063 
 
 2177 
 
 2291 
 
 2404 
 
 2518 
 
 2631 
 
 2745 
 
 2858 
 
 2972 
 
 3085 
 
 114 
 
 383 
 
 3199 
 
 3312 
 
 3426 
 
 3539 
 
 3652 
 
 3765 
 
 3879 
 
 3992 
 
 4105 
 
 4218 
 
 113 
 
 384 
 
 4331 
 
 4444 
 
 4557 
 
 4670 
 
 4783 
 
 4896 
 
 5009 
 
 5122 
 
 5235 
 
 5348 
 
 113 
 
 385 
 
 5461 
 
 5574 
 
 5686 
 
 5799 
 
 5912 
 
 6024 
 
 6137 
 
 6250 
 
 6362 
 
 6475 
 
 113 
 
 386 
 
 6587 
 
 6700 
 
 6812 
 
 6925 
 
 7037 
 
 7149 
 
 7262 
 
 7374 
 
 7486 
 
 7599 
 
 112 
 
 387 
 
 7711 
 
 7823 
 
 7935 
 
 8047 
 
 8160 
 
 8272 
 
 8384 
 
 8496 
 
 8608 
 
 8720 
 
 112 
 
 388 
 
 8832 
 
 8944 
 
 9056 
 
 9167 
 
 9279 
 
 9391 
 
 9503 
 
 9615 
 
 9726 
 
 9838 
 
 112 
 
 389 
 
 9950 
 
 **61 
 
 *173 
 
 *2S4 
 
 *396 
 
 *507 
 
 *619 
 
 *730 
 
 *842 
 
 *953 
 
 112 
 
 390 
 
 591065 
 
 1176 
 
 1287 
 
 1399 
 
 1510 
 
 1621 
 
 1732 
 
 1843 
 
 1955 
 
 2066 
 
 111 
 
 391 
 
 2177 
 
 2288 
 
 2399 
 
 2510 
 
 2621 
 
 2732 
 
 2843 
 
 2954 
 
 3064 
 
 3175 
 
 111 
 
 392 
 
 3286 
 
 3397 
 
 3508 
 
 3618 
 
 3729 
 
 3840 
 
 3950 
 
 4061 
 
 4171 
 
 4282 
 
 111 
 
 393 
 
 4393 
 
 4503 
 
 4614 
 
 4724 
 
 4834 
 
 4945 
 
 5055 
 
 5165 
 
 5276 
 
 5386 
 
 110 
 
 394 
 
 5496 
 
 5606 
 
 5717 
 
 5827 
 
 5937 
 
 6047 
 
 61-57 
 
 6267 
 
 6377 
 
 6487 
 
 110 
 
 395 
 
 6597 
 
 6707 
 
 6817 
 
 6927 
 
 7037 
 
 7146 
 
 7256 
 
 7366 
 
 7476 
 
 7586 
 
 110 
 
 396 
 
 7695 
 
 7805 
 
 7914 
 
 8024 
 
 8134 
 
 8243 
 
 8353 
 
 8462 
 
 8572 
 
 8681 
 
 110 
 
 397 
 
 8791 
 
 8900 
 
 9009 
 
 9119 
 
 9228 
 
 9337 
 
 9446 
 
 9556 
 
 9665 
 
 9774 
 
 109 
 
 398 
 
 9883 
 
 9992 
 
 *101 
 
 *210 
 
 *319 
 
 *428 
 
 *537 
 
 *646 
 
 *755 
 
 *S64 
 
 109 
 
 399 
 
 600973 
 
 1082 
 
 1191 
 
 1299 
 
 1408 
 
 1517 
 
 1625 
 
 1734 
 
 1843 
 
 1951 
 
 109 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
TABLE XXIX (CONTINUED) 
 
 53 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D.. 
 
 400 
 
 602060 
 
 2169 
 
 2277 
 
 2386 
 
 2494 
 
 2603 
 
 2711 
 
 2819 
 
 2928 
 
 3036 
 
 108 
 
 401 
 
 3144 
 
 3253 
 
 3361 
 
 3469 
 
 3577 
 
 3$S6 
 
 3794 
 
 3902 
 
 4010 
 
 4118 
 
 108 
 
 402 
 
 4226 
 
 4334 
 
 4442 
 
 4550 
 
 4658 
 
 4766 
 
 4874 
 
 4982 
 
 5089 
 
 5197 
 
 108 
 
 403 
 
 5305 
 
 5413 
 
 5521 
 
 5628 
 
 5736 
 
 5844 
 
 5951 
 
 6059 
 
 6166 
 
 6274 
 
 108 
 
 404 
 
 6381 
 
 6489 
 
 6596 
 
 6704 
 
 6811 
 
 6919 
 
 7026 
 
 7133 
 
 7241 
 
 7348 
 
 107 
 
 405 
 
 7455 
 
 7562 
 
 7669 
 
 7777 
 
 7884 
 
 7991 
 
 8098 
 
 8205 
 
 8312 
 
 8419 
 
 107 
 
 406 
 
 8526 
 
 8633 
 
 8740 
 
 8847 
 
 8954 
 
 9061 
 
 9167 
 
 9274 
 
 9381 
 
 9488 
 
 107 
 
 407 
 
 9594 
 
 9701 
 
 9808 
 
 9914 
 
 **21 
 
 *128 
 
 *234 
 
 *341 
 
 *447 
 
 *554 
 
 107 
 
 408 
 
 610660 
 
 0767 
 
 0873 
 
 0979 
 
 1086 
 
 1192 
 
 1298 
 
 1405 
 
 1511 
 
 1617 
 
 106 
 
 409 
 
 1723 
 
 1829 
 
 1936 
 
 2042 
 
 2148 
 
 2254 
 
 2360 
 
 2466 
 
 2572 
 
 2678 
 
 106 
 
 410 
 
 612784 
 
 2890 
 
 2996 
 
 3102 
 
 3207 
 
 3313 
 
 3419 
 
 3525 
 
 3630 
 
 3736 
 
 106 
 
 411 
 
 3842 
 
 3947 
 
 4053 
 
 4159 
 
 4264 
 
 4370 
 
 4475 
 
 4581 
 
 4686 
 
 4792 
 
 106 
 
 412 
 
 4897 
 
 5003 
 
 5108 
 
 5213 
 
 5319 
 
 5424 
 
 5529 
 
 5634 
 
 5740 
 
 5845 
 
 105 
 
 413 
 
 5950 
 
 6055 
 
 6160 
 
 6265 
 
 6370 
 
 6476 
 
 6581 
 
 6686 
 
 6790 
 
 6895 
 
 105 
 
 414 
 
 7000 
 
 7105 
 
 7210 
 
 7315 
 
 7420. 
 
 7525 
 
 7629 
 
 7734 
 
 7839 
 
 7943 
 
 105 
 
 415 
 
 8048 
 
 8153 
 
 8257 
 
 8362 
 
 8466 
 
 8571 
 
 8676 
 
 8780 
 
 8884 
 
 8989 
 
 105 
 
 416 
 
 9093 
 
 9198 
 
 9302 
 
 9406 
 
 9511 
 
 9615 
 
 9719 
 
 9824 
 
 9928 
 
 **32 
 
 104 
 
 417 
 
 620136 
 
 0240 
 
 0344 
 
 0448 
 
 0552 
 
 0656 
 
 0760 
 
 0864 
 
 0968 
 
 1072 
 
 104 
 
 418 
 
 1176 
 
 1280 
 
 1384 
 
 1488 
 
 1592 
 
 1695 
 
 1799 
 
 1903 
 
 2007 
 
 2110 
 
 104 
 
 419 
 
 2214 
 
 2318 
 
 2421 
 
 2525 
 
 2628 
 
 2732 
 
 2835 
 
 2939 
 
 3042 
 
 3146 
 
 104 
 
 420 
 
 623249 
 
 3353 
 
 3456 
 
 3559 
 
 3663 
 
 3766 
 
 3869 
 
 3973 
 
 4076 
 
 4179 
 
 103 
 
 421 
 
 4282 
 
 4385 
 
 4488 
 
 4591 
 
 4695 
 
 4798 
 
 4901 
 
 5004 
 
 5107 
 
 5210 
 
 103 
 
 422 
 
 5312 
 
 5415 
 
 5518 
 
 5621 
 
 5724 
 
 5827 
 
 5929 
 
 6032 
 
 6135 
 
 6238 
 
 103 
 
 423 
 
 6340 
 
 6443 
 
 6546 
 
 6648 
 
 6751 
 
 6853 
 
 6956 
 
 7058 
 
 7161 
 
 7263 
 
 103 
 
 424 
 
 7366 
 
 7468 
 
 7571 
 
 7673 
 
 7775 
 
 7878 
 
 7980 
 
 8082 
 
 8185 
 
 8287 
 
 102 
 
 425 
 
 8389 
 
 8491 
 
 8593 
 
 8695 
 
 8797 
 
 8900 
 
 9002 
 
 9104 
 
 9206 
 
 9308 
 
 102 
 
 426 
 
 9410 
 
 9512 
 
 9613 
 
 9715 
 
 9817 
 
 9919 
 
 **21 
 
 *123 
 
 *224 
 
 *326 
 
 102 
 
 427 
 
 630428 
 
 0530 
 
 0631 
 
 0733 
 
 0835 
 
 0936 
 
 1038 
 
 1139 
 
 1241 
 
 1342 
 
 102 
 
 428 
 
 1444 
 
 1545 
 
 1647 
 
 1748 
 
 1849 
 
 1951 
 
 2052 
 
 2153 
 
 2255 
 
 2356 
 
 101 
 
 429 
 
 2457 
 
 2559 
 
 2660 
 
 2761 
 
 2862 
 
 2963 
 
 3064 
 
 3165 
 
 3266 
 
 3367 
 
 101 
 
 430 
 
 633468 
 
 3569 
 
 3670 
 
 3771 
 
 3872 
 
 3973 
 
 4074 
 
 4175 
 
 4276 
 
 4376 
 
 100 
 
 431 
 
 4477 
 
 4578 
 
 4679 
 
 4779 
 
 4880 
 
 4981 
 
 5081 
 
 5182 
 
 5283 
 
 5383 
 
 100 
 
 432 
 
 5484 
 
 5584 
 
 5685 
 
 5785 
 
 5886 
 
 5986 
 
 6087 
 
 6187 
 
 6287 
 
 6388 
 
 100 
 
 433 
 
 6488 
 
 6588 
 
 6688 
 
 6789 
 
 6889 
 
 6989 
 
 7089 
 
 7189 
 
 7290 
 
 7390 
 
 100 
 
 434 
 
 7490 
 
 7590 
 
 7690 
 
 7790 
 
 7890 
 
 7990 
 
 8090 
 
 8190 
 
 8290 
 
 8389 
 
 99 
 
 435 
 
 8489 
 
 8589 
 
 8689 
 
 8789 
 
 8888 
 
 8988 
 
 9088 
 
 9188 
 
 9287 
 
 9387 
 
 99 
 
 436 
 
 9486 
 
 9586 
 
 9686 
 
 9785 
 
 9885 
 
 9984 
 
 **S4 
 
 *183 
 
 *283 
 
 *3S2 
 
 99 
 
 437 
 
 640481 
 
 0581 
 
 0680 
 
 0779 
 
 0879 
 
 0978 
 
 1077 
 
 1177 
 
 1276 
 
 1375 
 
 99 
 
 438 
 
 1474 
 
 1573 
 
 1672 
 
 1771 
 
 1871 
 
 1970 
 
 2069 
 
 2168 
 
 2267 
 
 2366 
 
 99 
 
 439 
 
 2465 
 
 2563 
 
 2662 
 
 2761 
 
 2860 
 
 2959 
 
 3058 
 
 3156 
 
 3255 
 
 3354 
 
 99 
 
 440 
 
 643453 
 
 3551 
 
 3650 
 
 3749 
 
 3847 
 
 3946 
 
 4044 
 
 4143 
 
 4242 
 
 4340 
 
 98 
 
 441 
 
 4439 
 
 4537 
 
 4636 
 
 4734 
 
 4832 
 
 4931 
 
 5029 
 
 5127 
 
 5226 
 
 5324 
 
 98 
 
 442 
 
 5422 
 
 5521 
 
 5619 
 
 5717 
 
 5815 
 
 5913 
 
 6011 
 
 6110 
 
 6208 
 
 6306 
 
 98 
 
 443 
 
 6404 
 
 6502 
 
 6600 
 
 6698 
 
 6796 
 
 6894 
 
 6992 
 
 7089 
 
 7187 
 
 7285 
 
 98 
 
 444 
 
 7383 
 
 7481 
 
 7579 
 
 7676 
 
 7774 
 
 7872 
 
 7969 
 
 8067 
 
 8165 
 
 8262 
 
 98 
 
 445 
 
 8360 
 
 8458 
 
 8555 
 
 8653 
 
 8750 
 
 8848 
 
 8945 
 
 9043 
 
 9140 
 
 9237 
 
 97 
 
 446 
 
 9335 
 
 9432 
 
 9530 
 
 9627 
 
 9724 
 
 9821 
 
 9919 
 
 **16 
 
 *113 
 
 *210 
 
 97 
 
 447 
 
 650308 
 
 0405 
 
 0502 
 
 0599 
 
 0696 
 
 0793 
 
 0890 
 
 0987 
 
 1084 
 
 1181 
 
 97 
 
 448 
 
 1278 
 
 1375 
 
 1472 
 
 1569 
 
 1666 
 
 1762 
 
 1859 
 
 1956 
 
 2053 
 
 2150 
 
 97 
 
 449 
 
 2246 
 
 2343 
 
 2440 
 
 2536 
 
 2633 
 
 2730 
 
 2826 
 
 2923 
 
 3019 
 
 3116 
 
 97 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
54 
 
 TABLE XXIX (CONTINUED) 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 450 
 
 653213 
 
 3309 
 
 3405 
 
 3502 
 
 3598 
 
 3695 
 
 3791 
 
 3888 
 
 3984 
 
 4080 
 
 96 
 
 451 
 
 4177 
 
 4273 
 
 4369 
 
 4465 
 
 4562 
 
 4658 
 
 4754 
 
 4850 
 
 4946 
 
 5042 
 
 96 
 
 452 
 
 5138 
 
 5235 
 
 5331 
 
 5427 
 
 5523 
 
 5619 
 
 5715 
 
 5810 
 
 5906 
 
 6002 
 
 96 
 
 453 
 
 6098 
 
 6194 
 
 6290 
 
 6386 
 
 6482 
 
 6577 
 
 6673 
 
 6769 
 
 6864 
 
 6960 
 
 96 
 
 454 
 
 7056 
 
 7152 
 
 7247 
 
 7343 
 
 7438 
 
 7534 
 
 7629 
 
 7725 
 
 7820 
 
 7916 
 
 96 
 
 455 
 
 8011 
 
 8107 
 
 8202 
 
 8298 
 
 8393 
 
 8488 
 
 8584 
 
 8679 
 
 8774 
 
 8870 
 
 95 
 
 456 
 
 8965 
 
 9060 
 
 9155 
 
 9250 
 
 9346 
 
 9441 
 
 9536 
 
 9631 
 
 9726 
 
 9821 
 
 95 
 
 457 
 
 9916 
 
 **11 
 
 *106 
 
 *201 
 
 *296 
 
 *391 
 
 *4S6 
 
 *5S1 
 
 *676 
 
 *771 
 
 95 
 
 458 
 
 660865 
 
 0960 
 
 1055 
 
 1150 
 
 1245 
 
 1339 
 
 1434 
 
 1529 
 
 1623 
 
 1718 
 
 95 
 
 459 
 
 1813 
 
 1907 
 
 2002 
 
 2096 
 
 2191 
 
 22S6 
 
 2380 
 
 2475 
 
 2569 
 
 2663 
 
 95 
 
 460 
 
 662758 
 
 2852 
 
 2947 
 
 3041 
 
 3135 
 
 3230 
 
 3324 
 
 3418 
 
 3512 
 
 3607 
 
 94 
 
 461 
 
 3701 
 
 3795 
 
 3889 
 
 3983 
 
 4078 
 
 4172 
 
 4266 
 
 4360 
 
 4454 
 
 4548 
 
 94 
 
 462 
 
 4642 
 
 4736 
 
 4830 
 
 4924 
 
 5018 
 
 5112 
 
 5206 
 
 5299 
 
 5393 
 
 5487 
 
 94 
 
 463 
 
 5581 
 
 5675 
 
 5769 
 
 5862 
 
 5956 
 
 6050 
 
 6143 
 
 6237 
 
 6331 
 
 6424 
 
 94 
 
 464 
 
 6518 
 
 6612 
 
 6705 
 
 6799 
 
 6892 
 
 6986 
 
 7079 
 
 7173 
 
 7266 
 
 7360 
 
 94 
 
 465 
 
 7453 
 
 7546 
 
 7640 
 
 7733 
 
 7826 
 
 7920 
 
 8013 
 
 8106 
 
 8199 
 
 8293 
 
 93 
 
 466 
 
 8386 
 
 8479 
 
 8572 
 
 8665 
 
 8759 
 
 8852 
 
 8945 
 
 9038 
 
 9131 
 
 9224 
 
 93 
 
 467 
 
 9317 
 
 9410 
 
 9503 
 
 9596 
 
 9689 
 
 9782 
 
 9875 
 
 9967 
 
 **60 
 
 *153 
 
 93 
 
 468 
 
 670246 
 
 0339 
 
 0431 
 
 0524 
 
 0617 
 
 0710 
 
 0802 
 
 0895 
 
 0988 
 
 1080 
 
 93 
 
 469 
 
 1173 
 
 1265 
 
 1358 
 
 1451 
 
 1543 
 
 1636 
 
 1728 
 
 1821 
 
 1913 
 
 2005 
 
 93 
 
 470 
 
 672098 
 
 2190 
 
 2283 
 
 2375 
 
 2467 
 
 2560 
 
 2652 
 
 2744 
 
 2836 
 
 2929 
 
 92 
 
 471 
 
 3021 
 
 3113 
 
 3205 
 
 3297 
 
 3390 
 
 3482 
 
 3574 
 
 3666 
 
 3758 
 
 3850 
 
 92 
 
 472 
 
 3942 
 
 4034 
 
 4126 
 
 4218 
 
 4310 
 
 4402 
 
 4494 
 
 4586 
 
 4677 
 
 4769 
 
 92 
 
 473 
 
 4861 
 
 4953 
 
 5045 
 
 5137 
 
 5228 
 
 5320 
 
 5412 
 
 5503 
 
 5595 
 
 5687 
 
 92 
 
 474 
 
 5778 
 
 5870 
 
 5962 
 
 6053 
 
 6145 
 
 6236 
 
 6328 
 
 6419 
 
 6511 
 
 6602 
 
 92 
 
 475 
 
 6694 
 
 6785 
 
 6876 
 
 6068 
 
 7059 
 
 7151 
 
 7242 
 
 7333 
 
 7424 
 
 7516 
 
 91 
 
 476 
 
 7607 
 
 7698 
 
 7789 
 
 7881 
 
 7972 
 
 8063 
 
 8154 
 
 8245 
 
 8336 
 
 8427 
 
 91 
 
 477 
 
 8518 
 
 8609 
 
 8700 
 
 8791 
 
 8882 
 
 8973 
 
 9064 
 
 9155 
 
 9246 
 
 9337 
 
 91 
 
 478 
 
 9428 
 
 9519 
 
 9610 
 
 9700 
 
 9791 
 
 9882 
 
 9973 
 
 **63 
 
 *154 
 
 *245 
 
 91 
 
 479 
 
 680336 
 
 0426 
 
 0517 
 
 0607 
 
 0698 
 
 0789 
 
 0879 
 
 0970 
 
 1060 
 
 1151 
 
 91 
 
 480 
 
 681241 
 
 1332 
 
 1422 
 
 1513 
 
 1603 
 
 1693 
 
 1784 
 
 1874 
 
 1964 
 
 2055 
 
 90 
 
 481 
 
 2145 
 
 2235 
 
 2326 
 
 2416 
 
 2506 
 
 2596 
 
 2686 
 
 2777 
 
 2867 
 
 2957 
 
 90 
 
 482 
 
 3047 
 
 3137 
 
 3227 
 
 3317 
 
 3407 
 
 3497 
 
 3587 
 
 3677 
 
 3767 
 
 3857 
 
 90 
 
 483 
 
 3947 
 
 4037 
 
 4127 
 
 4217 
 
 4307 
 
 4396 
 
 4486 
 
 4576 
 
 4666 
 
 4756 
 
 90 
 
 484 
 
 4845 
 
 4935 
 
 5025 
 
 5114 
 
 5204 
 
 5294 
 
 5383 
 
 5473 
 
 5563 
 
 5652 
 
 90 
 
 485 
 
 5742 
 
 5831 
 
 5921 
 
 6010 
 
 6100 
 
 6189 
 
 6279 
 
 6368 
 
 6458 
 
 6547 
 
 89 
 
 486 
 
 6636 
 
 6726 
 
 6815 
 
 6904 
 
 6994 
 
 7083 
 
 7172 
 
 7261 
 
 7351 
 
 7440 
 
 89 
 
 487 
 
 7529 
 
 7618 
 
 7707 
 
 7796 
 
 7886 
 
 7975 
 
 8064 
 
 8153 
 
 8242 
 
 8331 
 
 89 
 
 488 
 
 8420 
 
 8509 
 
 8598 
 
 8687 
 
 8776 
 
 8865 
 
 8953 
 
 9042 
 
 9131 
 
 9220 
 
 89 
 
 489 
 
 9309 
 
 9398 
 
 9486 
 
 9575 
 
 9664 
 
 9753 
 
 9841 
 
 9930 
 
 **19 
 
 *107 
 
 89 
 
 490 
 
 690196 
 
 0285 
 
 0373 
 
 0462 
 
 0550 
 
 0639 
 
 0728 
 
 0816 
 
 0905 
 
 0993 
 
 89 
 
 491 
 
 1081 
 
 1170 
 
 1258 
 
 1347 
 
 1435 
 
 1524 
 
 1612 
 
 1700 
 
 1789 
 
 1877 
 
 88 
 
 492 
 
 1965 
 
 2053 
 
 2142 
 
 2230 
 
 2318 
 
 2406 
 
 2494 
 
 2583 
 
 2671 
 
 2759 
 
 88 
 
 493 
 
 2847 
 
 2935 
 
 3023 
 
 3111 
 
 3199 
 
 3287 
 
 3375 
 
 3463 
 
 3551 
 
 3639 
 
 88 
 
 494 
 
 3727 
 
 3815 
 
 3903 
 
 3991 
 
 4078 
 
 4166 
 
 4254 
 
 4342 
 
 4430 
 
 4517 
 
 88 
 
 495 
 
 4605 
 
 4693 
 
 4781 
 
 4868 
 
 4956 
 
 5044 
 
 5131 
 
 5219 
 
 5307 
 
 5394 
 
 88 
 
 496 
 
 5482 
 
 5569 
 
 5657 
 
 5744 
 
 5832 
 
 5919 
 
 6007 
 
 6094 
 
 6182 
 
 6269 
 
 87 
 
 497 
 
 6356 
 
 6444 
 
 6531 
 
 6618 
 
 6706 
 
 6793 
 
 6880 
 
 6968 
 
 7055 
 
 7142 
 
 87 
 
 498 
 
 7229 
 
 7317 
 
 7404 
 
 7491 
 
 7578 
 
 7665 
 
 7752 
 
 7839 
 
 7926 
 
 8014 
 
 87 
 
 499 
 
 8101 
 
 8188 
 
 8275 
 
 8362 
 
 8449 
 
 8535 
 
 8622 
 
 8709 
 
 8796 
 
 8883 
 
 87 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
TABLE XXIX (CONTINUED) 
 
 55 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 500 
 
 698970 
 
 9057 
 
 9144 
 
 9231 
 
 9317 
 
 9404 
 
 9491 
 
 9578 
 
 9664 
 
 9751 
 
 87 
 
 501 
 
 9838 
 
 9924 
 
 **11 
 
 **9S 
 
 *184 
 
 *271 
 
 *35S 
 
 *444 
 
 *531 
 
 *617 
 
 87 
 
 502 
 
 700704 
 
 0790 
 
 0877 
 
 0963 
 
 1050 
 
 1136 
 
 1222 
 
 1309 
 
 1395 
 
 1482 
 
 86 
 
 503 
 
 1568 
 
 1654 
 
 1741 
 
 1827 
 
 1913 
 
 1999 
 
 2086 
 
 2172 
 
 2258 
 
 2344 
 
 86 
 
 504 
 
 2431 
 
 2517 
 
 2603 
 
 2689 
 
 2775 
 
 2861 
 
 2947 
 
 3033 
 
 3119 
 
 3205 
 
 86 
 
 505 
 
 3291 
 
 3377 
 
 3463 
 
 3549 
 
 3635 
 
 3721 
 
 3807 
 
 3893 
 
 3979 
 
 4065 
 
 86 
 
 506 
 
 4151 
 
 4236 
 
 4322 
 
 4408 
 
 4494 
 
 4579 
 
 4665 
 
 4751 
 
 4837 
 
 4922 
 
 86 
 
 507 
 
 5008 
 
 5094 
 
 5179 
 
 5265 
 
 5350 
 
 5436 
 
 5522 
 
 5607 
 
 5693 
 
 5778 
 
 86 
 
 508 
 
 5864 
 
 5949 
 
 6035 
 
 6120 
 
 6206 
 
 6291 
 
 6376 
 
 6462 
 
 6547 
 
 6632 
 
 85 
 
 509 
 
 6718 
 
 6803 
 
 6888 
 
 6974 
 
 7059 
 
 7144 
 
 7229 
 
 7315 
 
 7400 
 
 7485 
 
 85 
 
 510 
 
 707570 
 
 7655 
 
 7740 
 
 7826 
 
 7911 
 
 7996 
 
 8081 
 
 8166 
 
 8251 
 
 8336 
 
 85 
 
 511 
 
 8421 
 
 8506 
 
 8591 
 
 8676 
 
 8761 
 
 8846 
 
 8931 
 
 9015 
 
 9100 
 
 9185 
 
 85 
 
 512 
 
 9270 
 
 9355 
 
 9440 
 
 9524 
 
 9609 
 
 9694 
 
 9779 
 
 9863 
 
 9948 
 
 **33 
 
 85 
 
 513 
 
 710117 
 
 0202 
 
 0287 
 
 0371 
 
 0456 
 
 0540 
 
 0625 
 
 0710 
 
 0794 
 
 0879 
 
 85 
 
 514 
 
 0963 
 
 1048 
 
 1132 
 
 1217 
 
 1301 
 
 1385 
 
 1470 
 
 1554 
 
 1639 
 
 1723 
 
 84 
 
 515 
 
 1807 
 
 1892 
 
 1976 
 
 2060 
 
 2144 
 
 2229 
 
 2313 
 
 2397 
 
 2481 
 
 2566 
 
 84 
 
 516 
 
 2650 
 
 2734 
 
 2818 
 
 2902 
 
 2986 
 
 3070 
 
 3154 
 
 3238 
 
 3323 
 
 3407 
 
 84 
 
 517 
 
 3491 
 
 3575 
 
 3659 
 
 3742 
 
 3826 
 
 3910 
 
 3994 
 
 4078 
 
 4162 
 
 4246 
 
 84 
 
 518 
 
 4330 
 
 4414 
 
 4497 
 
 4581 
 
 4665 
 
 4749 
 
 4833 
 
 4916 
 
 5000 
 
 5084 
 
 84 
 
 519 
 
 5167 
 
 5251 
 
 5335 
 
 5418 
 
 5502 
 
 5586 
 
 5669 
 
 5753 
 
 5836 
 
 5920 
 
 84 
 
 520 
 
 716003 
 
 6087 
 
 6170 
 
 6254 
 
 6337 
 
 6421 
 
 6504 
 
 6588 
 
 6671 
 
 6754 
 
 83 
 
 521 
 
 6838 
 
 6921 
 
 7004 
 
 7088 
 
 7171 
 
 7254 
 
 7338 
 
 7421 
 
 7504 
 
 7587 
 
 83 
 
 522 
 
 7671 
 
 7754 
 
 7837 
 
 7920 
 
 8003 
 
 8086 
 
 8169 
 
 8253 
 
 8336 
 
 8419 
 
 83 
 
 523 
 
 8502 
 
 8585 
 
 8668 
 
 8751 
 
 8834 
 
 8917 
 
 9000 
 
 9083 
 
 9165 
 
 9248 
 
 83 
 
 524 
 
 9331 
 
 9414 
 
 9497 
 
 9580 
 
 9663 
 
 9745 
 
 9828 
 
 9911 
 
 9994 
 
 ** 77 
 
 83 
 
 525 
 
 720159 
 
 0242 
 
 0325 
 
 0407 
 
 0490 
 
 0573 
 
 0655 
 
 0738 
 
 0821 
 
 0903 
 
 83 
 
 526 
 
 0986 
 
 1068 
 
 1151 
 
 1233 
 
 1316 
 
 1398 
 
 1481 
 
 1563 
 
 1646 
 
 1728 
 
 82 
 
 527 
 
 1811 
 
 1893 
 
 1975 
 
 2058 
 
 2140 
 
 2222 
 
 2305 
 
 2387 
 
 2469 
 
 2552 
 
 82 
 
 528 
 
 2634 
 
 2716 
 
 2798 
 
 2881 
 
 2963 
 
 3045 
 
 3127 
 
 3209 
 
 3291 
 
 3374 
 
 82 
 
 529 
 
 3456 
 
 3538 
 
 3620 
 
 3702 
 
 3784 
 
 3866 
 
 3948 
 
 4030 
 
 4112 
 
 4194 
 
 82 
 
 530 
 
 724276 
 
 4358 
 
 4440 
 
 4522 
 
 4604 
 
 4685 
 
 4767 
 
 4849 
 
 4931 
 
 5013 
 
 82 
 
 531 
 
 5095 
 
 5176 
 
 5258 
 
 5340 
 
 5422 
 
 5503 
 
 5585 
 
 5667 
 
 5748 
 
 5830 
 
 82 
 
 532 
 
 5912 
 
 5993 
 
 6075 
 
 6156 
 
 6238 
 
 6320 
 
 6401 
 
 6483 
 
 6564 
 
 6646 
 
 82 
 
 533 
 
 6727 
 
 6809 
 
 6890 
 
 6972 
 
 7053 
 
 7134 
 
 7216 
 
 7297 
 
 7379 
 
 7460 
 
 81 
 
 534 
 
 7541 
 
 7623 
 
 7704 
 
 7785 
 
 7866 
 
 7948 
 
 8029 
 
 8110 
 
 8191 
 
 8273 
 
 81 
 
 535 
 
 8354 
 
 8435 
 
 8516 
 
 8597 
 
 8678 
 
 8759 
 
 8841 
 
 8922 
 
 9003 
 
 9084 
 
 81 
 
 536 
 
 9165 
 
 9246 
 
 9327 
 
 9408 
 
 9489 
 
 9570 
 
 9651 
 
 9732 
 
 9813 
 
 9893 
 
 81 
 
 537 
 
 9974 
 
 **55 
 
 *136 
 
 *217 
 
 *298 
 
 *378 
 
 *459 
 
 *540 
 
 *621 
 
 *702 
 
 81 
 
 538 
 
 730782 
 
 0863 
 
 0944 
 
 1024 
 
 1105 
 
 1186 
 
 1266 
 
 1347 
 
 1428 
 
 1508 
 
 81 
 
 539 
 
 1589 
 
 1669 
 
 1750 
 
 1830 
 
 1911 
 
 1991 
 
 2072 
 
 2152 
 
 2233 
 
 2313 
 
 81 
 
 540 
 
 732394 
 
 2474 
 
 2555 
 
 2635 
 
 2715 
 
 2796 
 
 2876 
 
 2956 
 
 3037 
 
 3117 
 
 80 
 
 541 
 
 3197 
 
 3278 
 
 3358 
 
 3438 
 
 3518 
 
 3598 
 
 3679 
 
 3759 
 
 3839 
 
 3919 
 
 80 
 
 542 
 
 3999 
 
 4079 
 
 4160 
 
 4240 
 
 4320 
 
 4400 
 
 4480 
 
 4560 
 
 4640 
 
 4720 
 
 80 
 
 543 
 
 4800 
 
 4880 
 
 4960 
 
 5040 
 
 5120 
 
 5200 
 
 5279 
 
 5359 
 
 5439 
 
 5519 
 
 80 
 
 544 
 
 5599 
 
 5679 
 
 5759 
 
 5838 
 
 5918 
 
 5998 
 
 6078 
 
 6157 
 
 6237 
 
 6317 
 
 80 
 
 545 
 
 6397 
 
 6476 
 
 6556 
 
 6635 
 
 6715 
 
 6795 
 
 6874 
 
 6954 
 
 7034 
 
 7113 
 
 80 
 
 546 
 
 7193 
 
 7272 
 
 7352 
 
 7431 
 
 7511 
 
 7590 
 
 7670 
 
 7749 
 
 7829 
 
 7908 
 
 79 
 
 547 
 
 7987 
 
 8067 
 
 8146 
 
 8225 
 
 8305 
 
 8384 
 
 8463 
 
 8543 
 
 8622 
 
 8701 
 
 79 
 
 548 
 
 8781 
 
 8860 
 
 8939 
 
 9018 
 
 9097 
 
 9177 
 
 .9256 
 
 9335 
 
 9414 
 
 9493 
 
 79 
 
 549 
 
 9572 
 
 9651 
 
 9731 
 
 9810 
 
 9889 
 
 9968 
 
 ** 47 
 
 *126 
 
 *205 
 
 *284 
 
 79 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
56 
 
 TABLE XXIX (CONTINUED) 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 550 
 
 740363 
 
 0442 
 
 0521 
 
 0600 
 
 0678 
 
 0757 
 
 0836 
 
 0915 
 
 0994 
 
 1073 
 
 79 
 
 551 
 
 1152 
 
 1230 
 
 1309 
 
 1388 
 
 1467 
 
 1546 
 
 1624 
 
 1703 
 
 17S2 
 
 I860 
 
 79 
 
 552 
 
 1939 
 
 2018 
 
 2096 
 
 2175 
 
 2254 
 
 2332 
 
 2411 
 
 2489 
 
 25 68 
 
 2647 
 
 79 
 
 553 
 
 2725 
 
 2804 
 
 2882 
 
 2961 
 
 3039 
 
 3118 
 
 3196 
 
 3275 
 
 3353 
 
 3431 
 
 78 
 
 554 
 
 3510 
 
 3588 
 
 3667 
 
 3745 
 
 3823 
 
 3902 
 
 39SO 
 
 4058 
 
 4136 
 
 4215 
 
 78 
 
 555 
 
 4293 
 
 4371 
 
 4449 
 
 4528 
 
 4606 
 
 4684 
 
 4762 
 
 4840 
 
 4919 
 
 4997 
 
 78 
 
 556 
 
 5075 
 
 5153 
 
 5231 
 
 5309 
 
 5387 
 
 5465 
 
 5543 
 
 5621 
 
 5699 
 
 5777 
 
 78 
 
 557 
 
 5855 
 
 5933 
 
 6011 
 
 6089 
 
 6167 
 
 6245 
 
 6323 
 
 6401 
 
 6479 
 
 6556 
 
 78 
 
 558 
 
 6634 
 
 6712 
 
 6790 
 
 6868 
 
 6945 
 
 7023 
 
 7101 
 
 7179 
 
 7256 
 
 7334 
 
 78 
 
 559 
 
 7412 
 
 7489 
 
 7567 
 
 7645 
 
 7722 
 
 7800 
 
 7878 
 
 7955 
 
 8033 
 
 8110 
 
 78 
 
 560 
 
 748188 
 
 8266 
 
 8343 
 
 8421 
 
 8498 
 
 8576 
 
 8653 
 
 8731 
 
 8808 
 
 8885 
 
 77 
 
 561 
 
 8963 
 
 9040 
 
 9118 
 
 9195 
 
 9272 
 
 9350 
 
 9427 
 
 9504 
 
 9582 
 
 9659 
 
 77 
 
 562 
 
 9736 
 
 9814 
 
 9891 
 
 9968 
 
 **45 
 
 *123 
 
 *200 
 
 *277 
 
 *354 
 
 *431 
 
 77 
 
 563 
 
 750508 
 
 0586 
 
 0663 
 
 0740 
 
 0817 
 
 0894 
 
 0971 
 
 1048 
 
 1125 
 
 1202 
 
 77 
 
 564 
 
 1279 
 
 1356 
 
 1433 
 
 1510 
 
 1587 
 
 1664 
 
 1741 
 
 1818 
 
 1895 
 
 1972 
 
 77 
 
 565 
 
 2048 
 
 2125 
 
 2202 
 
 2279 
 
 2356 
 
 2433 
 
 2509 
 
 2586 
 
 2663 
 
 2740 
 
 77 
 
 566 
 
 2816 
 
 2893 
 
 2970 
 
 3047 
 
 3123 
 
 3200 
 
 3277 
 
 3353 
 
 3430 
 
 3506 
 
 77 
 
 567 
 
 3583 
 
 3660 
 
 3736 
 
 3813 
 
 3889 
 
 3966 
 
 4042 
 
 4119 
 
 4195 
 
 4272 
 
 77 
 
 568 
 
 4348 
 
 4425 
 
 4501 
 
 4578 
 
 4654 
 
 4730 
 
 4807 
 
 4883 
 
 4960 
 
 5036 
 
 76 
 
 569 
 
 5112 
 
 5189 
 
 5265 
 
 5341 
 
 5417 
 
 5494 
 
 5570 
 
 5646 
 
 5722 
 
 5799 
 
 76 
 
 570 
 
 755875 
 
 5951 
 
 6027 
 
 6103 
 
 6180 
 
 6256 
 
 6332 
 
 6408 
 
 6484 
 
 6560 
 
 76 
 
 571 
 
 6636 
 
 6712 
 
 6788 
 
 6864 
 
 6940 
 
 7016 
 
 7092 
 
 7168 
 
 7244 
 
 7320 
 
 76 
 
 572 
 
 7396 
 
 7472 
 
 7548 
 
 7624 
 
 7700 
 
 7775 
 
 7851 
 
 7927 
 
 8003 
 
 8079 
 
 76 
 
 573 
 
 8155 
 
 8230 
 
 8306 
 
 8382 
 
 8458 
 
 8533 
 
 8609 
 
 8685 
 
 8761 
 
 8836 
 
 76 
 
 574 
 
 8912 
 
 8988 
 
 9063 
 
 9139 
 
 9214 
 
 9290 
 
 9366 
 
 9441 
 
 9517 
 
 9592 
 
 76 
 
 ' 575 
 
 9668 
 
 9743 
 
 9819 
 
 9894 
 
 9970 
 
 **45 
 
 *121 
 
 *196 
 
 *272 
 
 *347 
 
 75 
 
 576 
 
 760422 
 
 0498 
 
 0573 
 
 0649 
 
 0724 
 
 0799 
 
 0875 
 
 0950 
 
 1025 
 
 1101 
 
 75 
 
 577 
 
 1176 
 
 1251 
 
 1326 
 
 1402 
 
 1477 
 
 1552 
 
 1627 
 
 1702 
 
 1778 
 
 1853 
 
 75 
 
 578 
 
 1928 
 
 2003 
 
 2078 
 
 2153 
 
 2228 
 
 2303 
 
 2378 
 
 2453 
 
 2529 
 
 2604 
 
 75 
 
 579 
 
 2679 
 
 2754 
 
 2829 
 
 2904 
 
 2978 
 
 3053 
 
 3128 
 
 3203 
 
 3278 
 
 3353 
 
 75 
 
 580 
 
 763428 
 
 3503 
 
 3578 
 
 3653 
 
 3727 
 
 3802 
 
 3877 
 
 3952 
 
 4027 
 
 4101 
 
 75 
 
 581 
 
 4176 
 
 4251 
 
 4326 
 
 4400 
 
 4475 
 
 4550 
 
 4624 
 
 4699 
 
 4774 
 
 4848 
 
 75 
 
 582 
 
 4923 
 
 4998 
 
 5072 
 
 5147 
 
 5221 
 
 5296 
 
 5370 
 
 5445 
 
 5520 
 
 5594 
 
 75 
 
 583 
 
 5669 
 
 5743 
 
 5818 
 
 5892 
 
 5966 
 
 6041 
 
 6115 
 
 6190 
 
 6264 
 
 6338 
 
 74 
 
 584 
 
 6413 
 
 6487 
 
 6562 
 
 6636 
 
 6710 
 
 6785 
 
 6859 
 
 6933 
 
 7007 
 
 7082 
 
 74 
 
 585 
 
 7156 
 
 7230 
 
 7304 
 
 7379 
 
 7453 
 
 7527 
 
 7601 
 
 7675 
 
 7749 
 
 7823 
 
 74 
 
 586 
 
 7898 
 
 7972 
 
 8046 
 
 8120 
 
 8194 
 
 8268 
 
 8342 
 
 8416 
 
 8490 
 
 8564 
 
 74 
 
 587 
 
 8638 
 
 8712 
 
 8786 
 
 8860 
 
 8934 
 
 9008 
 
 9082 
 
 9156 
 
 9230 
 
 9303 
 
 74 
 
 588 
 
 9377 
 
 9451 
 
 9525 
 
 9599 
 
 9673 
 
 9746 
 
 9820 
 
 9894 
 
 9968 
 
 **42 
 
 74 
 
 589 
 
 770115 
 
 0189 
 
 0263 
 
 0336 
 
 0410 
 
 0484 
 
 0557 
 
 0631 
 
 0705 
 
 0778 
 
 74 
 
 590 
 
 770852 
 
 0926 
 
 0999 
 
 1073 
 
 1146 
 
 1220 
 
 1293 
 
 1367 
 
 1440 
 
 1514 
 
 74 
 
 591 
 
 1587 
 
 1661 
 
 1734 
 
 1808 
 
 1881 
 
 1955 
 
 2028 
 
 2102 
 
 2175 
 
 2248 
 
 73 
 
 592 
 
 2322 
 
 2395 
 
 2468 
 
 2542 
 
 2615 
 
 2688 
 
 2762 
 
 2835 
 
 2908 
 
 2981 
 
 73 
 
 593 
 
 3055 
 
 3128 
 
 3201 
 
 3274 
 
 3348 
 
 3421 
 
 3494 
 
 3567 
 
 36iO 
 
 3713 
 
 73 
 
 594 
 
 3786 
 
 3860 
 
 3933 
 
 4006 
 
 4079 
 
 4152 
 
 4225 
 
 4298 
 
 '4371 
 
 4444 
 
 73 
 
 595 
 
 4517 
 
 4590 
 
 4663 
 
 4736 
 
 4809 
 
 4882 
 
 4955 
 
 5028 
 
 5100 
 
 5173 
 
 73 
 
 596 
 
 5246 
 
 5319 
 
 5392 
 
 5465 
 
 5538 
 
 5610 
 
 5683 
 
 5756 
 
 5829 
 
 5902 
 
 73 
 
 597 
 
 5974 
 
 6047 
 
 6120 
 
 6193 
 
 6265 
 
 6338 
 
 6411 
 
 6483 
 
 6556 
 
 6629 
 
 73 
 
 598 
 
 6701 
 
 6774 
 
 6846 
 
 6919 
 
 6992 
 
 7064 
 
 7137 
 
 7209 
 
 7282 
 
 7354 
 
 73 
 
 599 
 
 7427 
 
 7499 
 
 7572 
 
 7644 
 
 7717 
 
 7789 
 
 7862 
 
 7934 
 
 8006 
 
 8079 
 
 72 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
TABLE XXIX (CONTINUED) 
 
 57 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 600 
 
 778151 
 
 8224 
 
 8296 
 
 8368 
 
 8441 
 
 8513 
 
 8585 
 
 8658 
 
 8730 
 
 8802 
 
 72 
 
 601 
 
 8874 
 
 8947 
 
 9019 
 
 9091 
 
 9163 
 
 9236 
 
 9308 
 
 9380 
 
 9452 
 
 9524 
 
 72 
 
 602 
 
 9596 
 
 9669 
 
 9741 
 
 9813 
 
 9885 
 
 9957 
 
 **29 
 
 *101 
 
 *173 
 
 *245 
 
 72 
 
 603 
 
 780317 
 
 0389 
 
 0461 
 
 0533 
 
 0605 
 
 0677 
 
 0749 
 
 0821 
 
 0893 
 
 0965 
 
 72 
 
 604 
 
 14)37 
 
 1109 
 
 1181 
 
 1253 
 
 1324 
 
 1396 
 
 1468 
 
 1540 
 
 1612 
 
 1684 
 
 72 
 
 605 
 
 1755 
 
 1827 
 
 1899 
 
 1971 
 
 2042 
 
 2114 
 
 2186 
 
 2258 
 
 2329 
 
 2401 
 
 72 
 
 606 
 
 2473 
 
 2544 
 
 2616 
 
 2688 
 
 2759 
 
 2831 
 
 2902 
 
 2974 
 
 3046 
 
 3117 
 
 72 
 
 607 
 
 3189 
 
 3260 
 
 3332 
 
 3403 
 
 3475 
 
 3546 
 
 3618 
 
 3689 
 
 3761 
 
 3832 
 
 71 
 
 608 
 
 3904 
 
 3975 
 
 4046 
 
 4118 
 
 4189 
 
 4261 
 
 4332 
 
 4403 
 
 4475 
 
 4546 
 
 71 
 
 609 
 
 4617 
 
 4689 
 
 4760 
 
 4831 
 
 4902 
 
 4974 
 
 5045 
 
 5116 
 
 5187 
 
 5259 
 
 71 
 
 610 
 
 785330 
 
 5401 
 
 5472 
 
 5543 
 
 5615 
 
 5686 
 
 5757 
 
 5828 
 
 5899 
 
 5970 
 
 71 
 
 611 
 
 6041 
 
 6112 
 
 6183 
 
 6254 
 
 6325 
 
 6396 
 
 6467 
 
 6538 
 
 6609 
 
 6680 
 
 71 
 
 612 
 
 6751 
 
 6822 
 
 6893 
 
 6964 
 
 7035 
 
 7106 
 
 7177 
 
 7248 
 
 7319 
 
 7390 
 
 71 
 
 613 
 
 7460 
 
 7531 
 
 7602 
 
 7673 
 
 7744 
 
 7815 
 
 7885 
 
 7956 
 
 8027 
 
 8098 
 
 71 
 
 614 
 
 8168 
 
 8239 
 
 8310 
 
 8381 
 
 8451 
 
 8522 
 
 8593 
 
 8663 
 
 8734 
 
 8804 
 
 71 
 
 615 
 
 8875 
 
 8946 
 
 9016 
 
 9087 
 
 9157 
 
 9228 
 
 9299 
 
 9369 
 
 9440 
 
 9510 
 
 71 
 
 616 
 
 9581 
 
 9651 
 
 9722 
 
 9792 
 
 9863 
 
 9933 
 
 *** 4 
 
 **74 
 
 *144 
 
 *215 
 
 70 
 
 617 
 
 790285 
 
 0356 
 
 0426 
 
 0496 
 
 0567 
 
 0637 
 
 0707 
 
 0778 
 
 0848 
 
 0918 
 
 70 
 
 618 
 
 0988 
 
 1059 
 
 1129 
 
 1199 
 
 1269 
 
 1340 
 
 1410 
 
 1480 
 
 1550 
 
 1620 
 
 70 
 
 619 
 
 1691 
 
 1761 
 
 1831 
 
 1901 
 
 1971 
 
 2041 
 
 2111 
 
 2181 
 
 2252 
 
 2322 
 
 70 
 
 620 
 
 792392 
 
 2462 
 
 2532 
 
 2602 
 
 2672 
 
 2742 
 
 2812 
 
 2882 
 
 2952 
 
 3022 
 
 70 
 
 621 
 
 3092 
 
 3162 
 
 3231 
 
 3301 
 
 3371 
 
 3441 
 
 3511 
 
 3581 
 
 3651 
 
 3721 
 
 70 
 
 ' 622 
 
 3790 
 
 3860 
 
 3930 
 
 4000 
 
 4070 
 
 4139 
 
 4209 
 
 4279 
 
 4349 
 
 4418 
 
 70 
 
 623 
 
 4488 
 
 4558 
 
 4627 
 
 4697 
 
 4767 
 
 4836 
 
 4906 
 
 4976 
 
 5045 
 
 5115 
 
 70 
 
 624 
 
 5185 
 
 5254 
 
 5324 
 
 5393 
 
 5463 
 
 5532 
 
 5602 
 
 5672 
 
 5741 
 
 5811 
 
 70 
 
 625 
 
 5880 
 
 5949 
 
 6019 
 
 6088 
 
 6158 
 
 6227 
 
 6297 
 
 6366 
 
 6436 
 
 6505 
 
 69 
 
 626 
 
 6574 
 
 6644 
 
 6713 
 
 6782 
 
 6852 
 
 6921 
 
 6990 
 
 7060 
 
 7129 
 
 7198 
 
 69 
 
 627 
 
 7268 
 
 7337 
 
 7406 
 
 7475 
 
 7545 
 
 7614 
 
 7683 
 
 7752 
 
 7821 
 
 7890 
 
 69 
 
 628 
 
 7960 
 
 8029 
 
 8098 
 
 8167 
 
 8236 
 
 8305 
 
 8374 
 
 8443 
 
 8513 
 
 8582 
 
 69 
 
 629 
 
 8651 
 
 8720 
 
 8789 
 
 8858 
 
 8927 
 
 8996 
 
 9065 
 
 9134 
 
 9203 
 
 9272 
 
 69 
 
 630 
 
 799341 
 
 9409 
 
 9478 
 
 9547 
 
 9616 
 
 9685 
 
 9754 
 
 9823 
 
 9892 
 
 9961 
 
 69 
 
 631 
 
 800029 
 
 0098 
 
 0167 
 
 0236 
 
 0305 
 
 0373 
 
 0442 
 
 0511 
 
 0580 
 
 0648 
 
 69 
 
 632 
 
 0717 
 
 0786 
 
 0854 
 
 0923 
 
 0992 
 
 1061 
 
 1129 
 
 1198 
 
 1266 
 
 1335 
 
 69 
 
 633 
 
 1404 
 
 1472 
 
 1541 
 
 1609 
 
 1678 
 
 1747 
 
 1815 
 
 1884 
 
 1952 
 
 2021 
 
 69 
 
 634 
 
 2089 
 
 2158 
 
 2226 
 
 2295 
 
 2363 
 
 2432 
 
 2500 
 
 2568 
 
 2637 
 
 2705 
 
 69 
 
 635 
 
 2774 
 
 2842 
 
 2910 
 
 2979 
 
 3047 
 
 3116 
 
 3184 
 
 3252 
 
 3321 
 
 3389 
 
 68 
 
 636 
 
 3457 
 
 3525 
 
 3594 
 
 3662 
 
 3730 
 
 3798 
 
 3867 
 
 3935 
 
 4003 
 
 4071 
 
 68 
 
 637 
 
 4139 
 
 4208 
 
 4276 
 
 4344 
 
 4412 
 
 4480 
 
 4548 
 
 4616 
 
 4685 
 
 4753 
 
 68 
 
 638 
 
 4821 
 
 4889 
 
 4957 
 
 5025 
 
 5093 
 
 5161 
 
 5229 
 
 5297 
 
 5365 
 
 5433 
 
 68 
 
 639 
 
 5501 
 
 5569 
 
 5637 
 
 5705 
 
 5773 
 
 5841 
 
 5908 
 
 5976 
 
 6044 
 
 6112 
 
 68 
 
 640 
 
 806180 
 
 6248 
 
 6316 
 
 6384 
 
 6451 
 
 6519 
 
 6587 
 
 6655 
 
 6723 
 
 6790 
 
 68 
 
 641 
 
 6858 
 
 6926 
 
 6994 
 
 7061 
 
 7129 
 
 7197 
 
 7264 
 
 7332 
 
 7400 
 
 7467 
 
 68 
 
 642 
 
 7535 
 
 7603 
 
 7670 
 
 7738 
 
 7806 
 
 7873 
 
 7941 
 
 8008 
 
 8076 
 
 8143 
 
 68 
 
 643 
 
 8211 
 
 8279 
 
 8346 
 
 8414 
 
 8481 
 
 8549 
 
 8616 
 
 8684 
 
 8751 
 
 8818 
 
 67 
 
 644 
 
 8886 
 
 8953 
 
 9021 
 
 9088 
 
 9156 
 
 9223 
 
 9290 
 
 9358 
 
 9425 
 
 9492 
 
 67 
 
 645 
 
 9560 
 
 9627 
 
 9694 
 
 9762 
 
 9829 
 
 9896 
 
 9964 
 
 **31 
 
 **9S 
 
 *165 
 
 67 
 
 646 
 
 810233 
 
 0300 
 
 0367 
 
 0434 
 
 0501 
 
 0569 
 
 0636 
 
 0703 
 
 0770 
 
 0837 
 
 67 
 
 647 
 
 0904 
 
 0971 
 
 1039 
 
 1106 
 
 1173 
 
 1240 
 
 1307 
 
 1374 
 
 1441 
 
 1508 
 
 67 
 
 648 
 
 1575 
 
 1642 
 
 1709 
 
 1776 
 
 1843 
 
 1910 
 
 1977 
 
 2044 
 
 2111 
 
 2178 
 
 67 
 
 649 
 
 2245 
 
 2312 
 
 2379 
 
 2445 
 
 2512 
 
 2579 
 
 2646 
 
 2713 
 
 2780 
 
 2847 
 
 67 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
58 
 
 TABLE XXIX (CONTINUED) 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 650 
 
 812913 
 
 2980 
 
 3047 
 
 3114 
 
 3181 
 
 3247 
 
 3314 
 
 3381 
 
 3448 
 
 3514 
 
 67 
 
 651 
 
 3581 
 
 3648 
 
 3714 
 
 3781 
 
 3848 
 
 3914 
 
 3981 
 
 4048 
 
 4114 
 
 4181 
 
 67 
 
 652 
 
 4248 
 
 4314 
 
 4381 
 
 4447 
 
 4514 
 
 4581 
 
 4647 
 
 4714 
 
 4780 
 
 4847 
 
 67 
 
 653 
 
 4913 
 
 4980 
 
 5046 
 
 5113 
 
 5179 
 
 5246 
 
 5312 
 
 5378 
 
 5445 
 
 5511 
 
 66 
 
 654 
 
 5578 
 
 5644 
 
 5711 
 
 5777 
 
 5843 
 
 5910 
 
 5976 
 
 6042 
 
 6109 
 
 6175 
 
 66 
 
 655 
 
 6241 
 
 6308 
 
 6374 
 
 6440 
 
 6506 
 
 6573 
 
 6639 
 
 6705 
 
 6771 
 
 6838 
 
 66 
 
 656 
 
 6904 
 
 6970 
 
 7036 
 
 7102 
 
 7169 
 
 7235 
 
 7301 
 
 7367 
 
 7433 
 
 7499 
 
 66 
 
 657 
 
 7565 
 
 7631 
 
 7698 
 
 7764 
 
 7830 
 
 7896 
 
 7962 
 
 8028 
 
 8094 
 
 8160 
 
 66 
 
 658 
 
 8226 
 
 8292 
 
 8358 
 
 8424 
 
 8490 
 
 8556 
 
 8622 
 
 8688 
 
 8754 
 
 8820 
 
 66 
 
 659 
 
 8885 
 
 8951 
 
 9017 
 
 9083 
 
 9149 
 
 9215 
 
 9281 
 
 9346 
 
 9412 
 
 9478 
 
 66 
 
 660 
 
 819544 
 
 9610 
 
 9676 
 
 9741 
 
 9807 
 
 9873 
 
 9939 
 
 ##*4 
 
 **70 
 
 *136 
 
 66 
 
 661 
 
 820201 
 
 0267 
 
 0333 
 
 0399 
 
 0464 
 
 0530 
 
 0595 
 
 0661 
 
 0727 
 
 0792 
 
 66 
 
 662 
 
 0858 
 
 0924 
 
 0989 
 
 1055 
 
 1120 
 
 1186 
 
 1251 
 
 1317 
 
 1382 
 
 1448 
 
 66 
 
 663 
 
 1514 
 
 1579 
 
 1645 
 
 1710 
 
 1775 
 
 1841 
 
 1906 
 
 1972 
 
 2037 
 
 2103 
 
 65 
 
 664 
 
 2168 
 
 2233 
 
 2299 
 
 2364 
 
 2430 
 
 2495 
 
 2560 
 
 2626 
 
 2691 
 
 2756 
 
 65 
 
 665 
 
 2822 
 
 2887 
 
 2952 
 
 3018 
 
 3083 
 
 3148 
 
 3213 
 
 3279 
 
 3344 
 
 3409 
 
 65 
 
 666 
 
 3474 
 
 3539 
 
 3605 
 
 3670 
 
 3735 
 
 3SOO 
 
 3865 
 
 3930 
 
 3996 
 
 4061 
 
 65 
 
 667 
 
 4126 
 
 4191 
 
 4256 
 
 4321 
 
 4386 
 
 4451 
 
 4516 
 
 4581 
 
 4646 
 
 4711 
 
 65 
 
 668 
 
 4776 
 
 4841 
 
 4906 
 
 4971 
 
 5036 
 
 5101 
 
 5166 
 
 5231 
 
 5296 
 
 5361 
 
 65 
 
 669 
 
 5426 
 
 5491 
 
 5556 
 
 5621 
 
 5686 
 
 5751 
 
 5815 
 
 5880 
 
 5945 
 
 6010 
 
 65 
 
 670 
 
 826075 
 
 6140 
 
 6204 
 
 6269 
 
 6334 
 
 6399 
 
 6464 
 
 6528 
 
 6593 
 
 6658 
 
 65 
 
 671 
 
 6723 
 
 6787 
 
 6852 
 
 6917 
 
 6981 
 
 7046 
 
 7111 
 
 7175 
 
 7240 
 
 7305 
 
 65 
 
 672 
 
 7369 
 
 7434 
 
 7499 
 
 7563 
 
 7628 
 
 7692 
 
 7757 
 
 7821 
 
 7SS6 
 
 7951 
 
 65 
 
 673 
 
 8015 
 
 8080 
 
 8144 
 
 8209 
 
 8273 
 
 833S 
 
 8402 
 
 8467 
 
 8531 
 
 8595 
 
 64 
 
 674 
 
 8660 
 
 8724 
 
 8789 
 
 SS53 
 
 8918 
 
 S9S2 
 
 9046 
 
 9111 
 
 9175 
 
 9239 
 
 64 
 
 675 
 
 9304 
 
 9368 
 
 9432 
 
 9497 
 
 9561 
 
 9625 
 
 9690 
 
 9754 
 
 9S18 
 
 9882 
 
 64 
 
 676 
 
 9947 
 
 ##H 
 
 **75 
 
 *139 
 
 *204 
 
 *26S 
 
 *332 
 
 *396 
 
 *460 
 
 *525 
 
 64 
 
 677 
 
 830589 
 
 0653 
 
 0717 
 
 0781 
 
 0845 
 
 0909 
 
 0973 
 
 1037 
 
 1102 
 
 1166 
 
 64 
 
 678 
 
 1230 
 
 1294 
 
 1358 
 
 1422 
 
 I486 
 
 1550 
 
 1614 
 
 1678 
 
 1742 
 
 1805 
 
 64 
 
 679 
 
 1870 
 
 1934 
 
 1998 
 
 2062 
 
 2126 
 
 2189 
 
 2253 
 
 2317 
 
 2381 
 
 2445 
 
 64 
 
 680 
 
 832509 
 
 2573 
 
 2637 
 
 2700 
 
 2764 
 
 2828 
 
 2892 
 
 2956 
 
 3020 
 
 3083 
 
 64 
 
 681 
 
 3147 
 
 3211 
 
 3275 
 
 3338 
 
 3402 
 
 3466 
 
 3530 
 
 3593 
 
 3657 
 
 3721 
 
 64 
 
 682 
 
 3784 
 
 3848 
 
 3912 
 
 3975 
 
 4039 
 
 4103 
 
 4166 
 
 4230 
 
 4294 
 
 4357 
 
 64 
 
 683 
 
 4421 
 
 4484 
 
 4548 
 
 4611 
 
 4675 
 
 4739 
 
 4802 
 
 4866 
 
 4929 
 
 4993 
 
 64 
 
 684 
 
 5056 
 
 5120 
 
 5183 
 
 5247 
 
 5310 
 
 5373 
 
 5437 
 
 5500 
 
 5564 
 
 5627 
 
 63 
 
 685 
 
 5691 
 
 5754 
 
 5817 
 
 5881 
 
 5944 
 
 6007 
 
 6071 
 
 6134 
 
 6197 
 
 6261 
 
 63 
 
 686 
 
 6324 
 
 6387 
 
 6451 
 
 6514 
 
 6577 
 
 6641 
 
 6704 
 
 6767 
 
 6830 
 
 6894 
 
 63 
 
 687 
 
 6957 
 
 7020 
 
 7083 
 
 7146 
 
 7210 
 
 7273 
 
 7336 
 
 7399 
 
 7462 
 
 7525 
 
 63 
 
 688 
 
 7588 
 
 7652 
 
 7715 
 
 7778 
 
 7841 
 
 7904 
 
 7967 
 
 8030 
 
 8093 
 
 8156 
 
 63 
 
 689 
 
 8219 
 
 8282 
 
 8345 
 
 8408 
 
 8471 
 
 8534 
 
 8597 
 
 8660 
 
 8723 
 
 8786 
 
 63 
 
 690 
 
 838849 
 
 8912 
 
 8975 
 
 9038 
 
 9101 
 
 9164 
 
 9227 
 
 9289 
 
 9352 
 
 9415 
 
 63 
 
 691 
 
 9478 
 
 9541 
 
 9604 
 
 9667 
 
 9729 
 
 9792 
 
 9855 
 
 9918 
 
 9981 
 
 **43 
 
 63 
 
 692 
 
 840106 
 
 0169 
 
 0232 
 
 0294 
 
 0357 
 
 0420 
 
 0482 
 
 0545 
 
 0608 
 
 0671 
 
 63 
 
 693 
 
 0733 
 
 0796 
 
 0859 
 
 0921 
 
 0984 
 
 1046 
 
 1109 
 
 1172 
 
 1234 
 
 1297 
 
 63 
 
 694 
 
 1359 
 
 1422 
 
 1485 
 
 1547 
 
 1610 
 
 1672 
 
 1735 
 
 1797 
 
 1860 
 
 1922 
 
 63 
 
 695 
 
 1985 
 
 2047 
 
 2110 
 
 2172 
 
 2235 
 
 2297 
 
 2360 
 
 2422 
 
 2484 
 
 2547 
 
 62 
 
 696 
 
 2609 
 
 2672 
 
 2734 
 
 2796 
 
 2859 
 
 2921 
 
 2983 
 
 3046 
 
 3108 
 
 3170 
 
 62 
 
 697 
 
 3233 
 
 3295 
 
 3357 
 
 3420 
 
 3482 
 
 3544 
 
 3606 
 
 3669 
 
 3731 
 
 3793 
 
 62 
 
 698 
 
 3855 
 
 3918 
 
 3980 
 
 4042 
 
 4104 
 
 4166 
 
 4229 
 
 4291 
 
 4353 
 
 4415 
 
 62 
 
 699 
 
 4477 
 
 4539 
 
 4601 
 
 4664 
 
 4726 
 
 4788 
 
 4850 
 
 4912 
 
 4974 
 
 5036 
 
 62 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
TABLE XXIX (CONTINUED) 
 
 59 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 700 
 
 845098 
 
 5160 
 
 5222 
 
 5284 
 
 5346 
 
 5408 
 
 5470 
 
 5532 
 
 5594 
 
 5656 
 
 62 
 
 701 
 
 5718 
 
 5780 
 
 5842 
 
 5904 
 
 5966 
 
 6028 
 
 6090 
 
 6151 
 
 6213 
 
 6275 
 
 62 
 
 702 
 
 6337 
 
 6399 
 
 6461 
 
 6523 
 
 6585 
 
 6646 
 
 6708 
 
 6770 
 
 6832 
 
 6894 
 
 62 
 
 703 
 
 6955 
 
 7017 
 
 7079 
 
 7141 
 
 7202 
 
 7264 
 
 7326 
 
 7388 
 
 7449 
 
 7511 
 
 62 
 
 704 
 
 7573 
 
 7634 
 
 7696 
 
 7758 
 
 7819 
 
 7881 
 
 7943 
 
 8004 
 
 8066 
 
 8128 
 
 62 
 
 705 
 
 8189 
 
 8251 
 
 8312 
 
 8374 
 
 8435 
 
 8497 
 
 8559 
 
 8620 
 
 8682 
 
 8743 
 
 62 
 
 706 
 
 8805 
 
 8866 
 
 8928 
 
 8989 
 
 9051 
 
 9112 
 
 9174 
 
 9235 
 
 9297 
 
 9358 
 
 61 
 
 707 
 
 9419 
 
 9481 
 
 9542 
 
 9604 
 
 9665 
 
 9726 
 
 9788 
 
 9849 
 
 9911 
 
 9972 
 
 61 
 
 70S 
 
 850033 
 
 0095 
 
 0156 
 
 0217 
 
 0279 
 
 0340 
 
 0401 
 
 0462 
 
 0524 
 
 0585 
 
 61 
 
 709 
 
 0646 
 
 0707 
 
 0769 
 
 OS30 
 
 0891 
 
 0952 
 
 1014 
 
 1075 
 
 1136 
 
 1197 
 
 61 
 
 710 
 
 851258 
 
 1320 
 
 1381 
 
 1442 
 
 1503 
 
 1564 
 
 1625 
 
 1686 
 
 1747 
 
 1809 
 
 61 
 
 711 
 
 1870 
 
 1931 
 
 1992 
 
 2053 
 
 2114 
 
 2175 
 
 2236 
 
 2297 
 
 2358 
 
 2419 
 
 61 
 
 712 
 
 2480 
 
 2541 
 
 2602 
 
 2663 
 
 2724 
 
 2785 
 
 2846 
 
 2907 
 
 2968 
 
 3029 
 
 61 
 
 713 
 
 3090 
 
 3150 
 
 3211 
 
 3272 
 
 3333 
 
 3394 
 
 3455 
 
 3516 
 
 3577 
 
 3637 
 
 61 
 
 714 
 
 3698 
 
 3759 
 
 3820 
 
 3881 
 
 3941 
 
 4002 
 
 4063 
 
 4124 
 
 4185 
 
 4245 
 
 61 
 
 715 
 
 4306 
 
 4367 
 
 4428 
 
 4488 
 
 4549 
 
 4610 
 
 4670 
 
 4731 
 
 4792 
 
 4852 
 
 61 
 
 716 
 
 4913 
 
 4974 
 
 5034 
 
 5095 
 
 5156 
 
 5216 
 
 5277 
 
 5337 
 
 5398 
 
 5459 
 
 61 
 
 717 
 
 5519 
 
 5580 
 
 5640 
 
 5701 
 
 5761 
 
 5822 
 
 5882 
 
 5943 
 
 6003 
 
 6064 
 
 61 
 
 718 
 
 6124 
 
 61S5 
 
 6245 
 
 6306 
 
 6366 
 
 6427 
 
 6487 
 
 6548 
 
 6608 
 
 6668 
 
 60 
 
 719 
 
 6729* 
 
 6789 
 
 6850 
 
 6910 
 
 6970 
 
 7031 
 
 7091 
 
 7152 
 
 7212 
 
 7272 
 
 60 
 
 720 
 
 857332 
 
 7393 
 
 7453 
 
 7513 
 
 7574 
 
 7634 
 
 7694 
 
 7755 
 
 7815 
 
 7875 
 
 60 
 
 721 
 
 7935 
 
 7995 
 
 8056 
 
 8116 
 
 8176 
 
 8236 
 
 8297 
 
 8357 
 
 8417 
 
 8477 
 
 60 
 
 722 
 
 8537 
 
 8597 
 
 8657 
 
 8718 
 
 8778 
 
 8838 
 
 8898 
 
 8958 
 
 9018 
 
 9078 
 
 60 
 
 723 
 
 9138 
 
 9198 
 
 9258 
 
 9318 
 
 9379 
 
 9439 
 
 9499 
 
 9559 
 
 9619 
 
 9679 
 
 60 
 
 724 
 
 9739 
 
 9799 
 
 9859 
 
 9918 
 
 9978 
 
 **3S 
 
 **9S 
 
 *158 
 
 *21S 
 
 *278 
 
 60 
 
 725 
 
 860338 
 
 0398 
 
 0458 
 
 0518 
 
 0578 
 
 0637 
 
 0697 
 
 0757 
 
 0817 
 
 0877 
 
 60 
 
 726 
 
 0937 
 
 0996 
 
 1056 
 
 1116 
 
 1176 
 
 1236 
 
 1295 
 
 1355 
 
 1415 
 
 1475 
 
 60 
 
 727 
 
 1534 
 
 1594 
 
 1654 
 
 1714 
 
 1773 
 
 1833 
 
 1893 
 
 1952 
 
 2012 
 
 2072 
 
 60 
 
 728 
 
 2131 
 
 2191 
 
 2251 
 
 2310 
 
 2370 
 
 2430 
 
 2489 
 
 2549 
 
 2608 
 
 2668 
 
 60 
 
 729 
 
 2728 
 
 2787 
 
 2847 
 
 2906 
 
 2966 
 
 3025 
 
 3085 
 
 3144 
 
 3204 
 
 3263 
 
 60 
 
 730 
 
 863323 
 
 3382 
 
 3442 
 
 3501 
 
 3561 
 
 3620 
 
 3680 
 
 3739 
 
 3799 
 
 3858 
 
 59 
 
 731 
 
 3917 
 
 3977 
 
 4036 
 
 4096 
 
 4155 
 
 4214 
 
 4274 
 
 4333 
 
 4392 
 
 4452 
 
 59 
 
 732 
 
 4511 
 
 4570 
 
 4630 
 
 4689 
 
 4748 
 
 4808 
 
 4867 
 
 4926 
 
 4985 
 
 5045 
 
 59 
 
 733 
 
 5104 
 
 5163 
 
 5222 
 
 5282 
 
 5341 
 
 5400 
 
 5459 
 
 5519 
 
 5578 
 
 5637 
 
 59 
 
 734 
 
 5696 
 
 5755 
 
 5814 
 
 5874 
 
 5933 
 
 5992 
 
 6051 
 
 6110 
 
 6169 
 
 6228 
 
 59 
 
 735 
 
 6287 
 
 6346 
 
 6405 
 
 6465 
 
 6524 
 
 6583 
 
 6642 
 
 6701 
 
 6760 
 
 6819 
 
 59 
 
 736 
 
 6878 
 
 6937 
 
 6996 
 
 7055 
 
 7114 
 
 7173 
 
 7232 
 
 7291 
 
 7350 
 
 7409 
 
 59 
 
 737 
 
 7467 
 
 7526 
 
 7585 
 
 7644 
 
 7703 
 
 7762 
 
 7821 
 
 7880 
 
 7939 
 
 7998 
 
 59 
 
 738 
 
 8056 
 
 8115 
 
 8174 
 
 8233 
 
 8292 
 
 8350 
 
 84 09 
 
 8468 
 
 8527 
 
 8586 
 
 59 
 
 739 
 
 8644 
 
 8703 
 
 8762 
 
 8821 
 
 8879 
 
 8938 
 
 8997 
 
 9056 
 
 9114 
 
 9173 
 
 59 
 
 740 
 
 869232 
 
 9290 
 
 9349 
 
 9408 
 
 9466 
 
 9525 
 
 9584 
 
 9642 
 
 9701 
 
 9760 
 
 59 
 
 741 
 
 9818 
 
 9877 
 
 9935 
 
 9994 
 
 **53 
 
 *111 
 
 *170 
 
 *228 
 
 *287 
 
 *345 
 
 59 
 
 742 
 
 870404 
 
 0462 
 
 0521 
 
 0579 
 
 0638 
 
 0696 
 
 0755 
 
 0813 
 
 0872 
 
 0930 
 
 58 
 
 743 
 
 0989 
 
 1047 
 
 1106 
 
 1164 
 
 1223 
 
 1281 
 
 1339 
 
 1398 
 
 1456 
 
 1515 
 
 58 
 
 744 
 
 1573 
 
 1631 
 
 1690 
 
 1748 
 
 1806 
 
 1865 
 
 1923 
 
 1981 
 
 2040 
 
 2098 
 
 58 
 
 745 
 
 2156 
 
 2215 
 
 2273 
 
 2331 
 
 2389 
 
 2448 
 
 2506 
 
 2564 
 
 2622 
 
 2681 
 
 58 
 
 746 
 
 2739 
 
 2797 
 
 2855 
 
 2913 
 
 2972 
 
 3030 
 
 3088 
 
 3146 
 
 3204 
 
 3262 
 
 58 
 
 747 
 
 3321 
 
 3379 
 
 3437 
 
 3495 
 
 3553 
 
 3611 
 
 3669 
 
 3727 
 
 3785 
 
 3844 
 
 58 
 
 748 
 
 3902 
 
 3960 
 
 4018 
 
 4076 
 
 4134 
 
 4192 
 
 4250 
 
 4308 
 
 4366 
 
 4424 
 
 58 
 
 749 
 
 4482 
 
 4540 
 
 4598 
 
 4656 
 
 4714 
 
 4772 
 
 4830 
 
 4888 
 
 4945 
 
 5003 
 
 58 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
60 
 
 TABLE XXIX (CONTINUED) 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 750 
 
 875061 
 
 5119 
 
 5177 
 
 5235 
 
 5293 
 
 5351 
 
 5409 
 
 5466 
 
 5524 
 
 5582 
 
 58 
 
 751 
 
 5640 
 
 5698 
 
 5756 
 
 5813 
 
 5871 
 
 5929 
 
 5987 
 
 6045 
 
 6102 
 
 6160 
 
 58 
 
 752 
 
 6218 
 
 6276 
 
 6333 
 
 6391 
 
 6449 
 
 6507 
 
 6564 
 
 6622 
 
 6680 
 
 6737 
 
 58 
 
 753 
 
 6795 
 
 6S53 
 
 6910 
 
 6968 
 
 7026 
 
 7083 
 
 7141 
 
 7199 
 
 7256 
 
 7314 
 
 58 
 
 754 
 
 7371 
 
 7429 
 
 7487 
 
 7544 
 
 7602 
 
 7659 
 
 7717 
 
 7774 
 
 7832 
 
 7889 
 
 58 
 
 755 
 
 7947 
 
 8004 
 
 8062 
 
 8119 
 
 8177 
 
 8234 
 
 8292 
 
 8349 
 
 8407 
 
 8464 
 
 57 
 
 756 
 
 8522 
 
 8579 
 
 8637 
 
 8694 
 
 8752 
 
 8809 
 
 8866 
 
 8924 
 
 8981 
 
 9039 
 
 57 
 
 757 
 
 9096 
 
 9153 
 
 9211 
 
 9268 
 
 9325 
 
 9383 
 
 9440 
 
 9497 
 
 9555 
 
 9612 
 
 57 
 
 758 
 
 9669 
 
 9726 
 
 9784 
 
 9841 
 
 9898 
 
 9956 
 
 **13 
 
 **70 
 
 *127 
 
 *185 
 
 57 
 
 759 
 
 880242 
 
 0299 
 
 0356 
 
 0413 
 
 0471 
 
 0528 
 
 0585 
 
 0642 
 
 0699 
 
 0756 
 
 57 
 
 760 
 
 880814 
 
 0871 
 
 0928 
 
 0985 
 
 1042 
 
 1099 
 
 1156 
 
 1213 
 
 1271 
 
 1328 
 
 57 
 
 761 
 
 1385 
 
 1442 
 
 1499 
 
 1556 
 
 1613 
 
 1670 
 
 1727 
 
 1784 
 
 1841 
 
 1898 
 
 57 
 
 762 
 
 1955 
 
 2012 
 
 2069 
 
 2126 
 
 21S3 
 
 2240 
 
 2297 
 
 2354 
 
 2411 
 
 2468 
 
 57 
 
 763 
 
 2525 
 
 2581 
 
 2638 
 
 2695 
 
 2752 
 
 2809 
 
 2866 
 
 2923 
 
 2980 
 
 3037 
 
 57 
 
 764 
 
 3093 
 
 3150 
 
 3207 
 
 3264 
 
 3321 
 
 3377 
 
 3434 
 
 3491 
 
 3548 
 
 3605 
 
 57 
 
 765 
 
 3661 
 
 3718 
 
 3775 
 
 3832 
 
 3SS8 
 
 3945 
 
 4002 
 
 4059 
 
 4115 
 
 4172 
 
 57 
 
 766 
 
 4229 
 
 4285 
 
 4342 
 
 4399 
 
 4455 
 
 4512 
 
 4569 
 
 4625 
 
 4682 
 
 4739 
 
 57 
 
 767 
 
 4795 
 
 4852 
 
 4909 
 
 4965 
 
 5022 
 
 5078 
 
 5135 
 
 5192 
 
 5248 
 
 5305 
 
 57 
 
 768 
 
 5361 
 
 5418 
 
 5474 
 
 5531 
 
 5587 
 
 5644 
 
 5700 
 
 5757 
 
 5813 
 
 5870 
 
 57 
 
 769 
 
 5926 
 
 5983 
 
 6039 
 
 6096 
 
 6152 
 
 6209 
 
 6265 
 
 6321 
 
 63 78 
 
 6434 
 
 56 
 
 770 
 
 8S6491 
 
 6547 
 
 6604 
 
 6660 
 
 6716 
 
 6773 
 
 6829 
 
 6885 
 
 6942 
 
 6998 
 
 56 
 
 771 
 
 7054 
 
 7111 
 
 7167 
 
 7223 
 
 7280 
 
 7336 
 
 7392 
 
 7449 
 
 7505 
 
 7561 
 
 56 
 
 772 
 
 7617 
 
 7674 
 
 7730 
 
 7786 
 
 7842 
 
 7898 
 
 7955 
 
 8011 
 
 8067 
 
 8123 
 
 56 
 
 .773 
 
 8179 
 
 8236 
 
 8292 
 
 8348 
 
 8404 
 
 8460 
 
 8516 
 
 8573 
 
 8629 
 
 8685 
 
 56 
 
 774 
 
 8741 
 
 8797 
 
 8853 
 
 8909 
 
 8965 
 
 9021 
 
 9077 
 
 9134 
 
 9190 
 
 9246 
 
 56 
 
 775 
 
 9302 
 
 9358 
 
 9414 
 
 9470 
 
 9526 
 
 9582 
 
 9638 
 
 9694 
 
 9750 
 
 9806 
 
 56 
 
 776 
 
 9862 
 
 9918 
 
 9974 
 
 **30 
 
 **S6 
 
 *141 
 
 *197 
 
 *253 
 
 *309 
 
 *365 
 
 56 
 
 777 
 
 890421 
 
 0477 
 
 0533 
 
 0589 
 
 0645 
 
 0700 
 
 0756 
 
 0812 
 
 0868 
 
 0924 
 
 56 
 
 778 
 
 0980 
 
 1035 
 
 1091 
 
 1147 
 
 1203 
 
 1259 
 
 1314 
 
 1370 
 
 1426 
 
 1482 
 
 56 
 
 779 
 
 1537 
 
 1593 
 
 1649 
 
 1705 
 
 1760 
 
 1816 
 
 1872 
 
 1928 
 
 1983 
 
 2039 
 
 56 
 
 780 
 
 892095 
 
 2150 
 
 2206 
 
 2262 
 
 2317 
 
 2373 
 
 2429 
 
 2484 
 
 2540 
 
 2595 
 
 56 
 
 781 
 
 2651 
 
 2707 
 
 2762 
 
 2818 
 
 2873 
 
 2929 
 
 2985 
 
 3040 
 
 3096 
 
 3151 
 
 56 
 
 782 
 
 3207 
 
 3262 
 
 3318 
 
 3373 
 
 3429 
 
 3484 
 
 3540 
 
 3595 
 
 3651 
 
 3706 
 
 56 
 
 783 
 
 3762 
 
 3817 
 
 3873 
 
 3928 
 
 3984 
 
 4039 
 
 4094 
 
 4150 
 
 4205 
 
 4261 
 
 55 
 
 784 
 
 4316 
 
 4371 
 
 4427 
 
 4482 
 
 4538 
 
 4593 
 
 4648 
 
 4704 
 
 4759 
 
 4814 
 
 55 
 
 785 
 
 4870 
 
 4925 
 
 4980 
 
 5036 
 
 5091 
 
 5146 
 
 5201 
 
 5257 
 
 5312 
 
 5367 
 
 55 
 
 786 
 
 5423 
 
 5478 
 
 5533 
 
 5588 
 
 5644 
 
 5699 
 
 5754 
 
 5809 
 
 5864 
 
 5920 
 
 55 
 
 787 
 
 5975 
 
 6030 
 
 6085 
 
 6140 
 
 6195 
 
 6251 
 
 6306 
 
 6361 
 
 6416 
 
 6471 
 
 55 
 
 788 
 
 6526 
 
 6581 
 
 6636 
 
 6692 
 
 6747 
 
 6802 
 
 6857 
 
 6912 
 
 6967 
 
 7022 
 
 55 
 
 789 
 
 7077 
 
 7132 
 
 7187 
 
 7242 
 
 7297 
 
 7352 
 
 7407 
 
 7462 
 
 7517 
 
 7572 
 
 55 
 
 790 
 
 897627 
 
 7682 
 
 7737 
 
 7792 
 
 7847 
 
 7902 
 
 7957 
 
 8012 
 
 8067 
 
 8122 
 
 55 
 
 791 
 
 8176 
 
 8231 
 
 8286 
 
 8341 
 
 8396 
 
 8451 
 
 8506 
 
 8561 
 
 8615 
 
 8670 
 
 55 
 
 792 
 
 8725 
 
 8780 
 
 8835 
 
 8890 
 
 8944 
 
 8999 
 
 9054 
 
 9109 
 
 9164 
 
 9218 
 
 55 
 
 793 
 
 9273 
 
 9328 
 
 9383 
 
 9437 
 
 9492 
 
 9547 
 
 9602 
 
 9656 
 
 9711 
 
 9766 
 
 55 
 
 794 
 
 9821 
 
 9875 
 
 9930 
 
 9985 
 
 ** 39 
 
 **94 
 
 *149 
 
 *203 
 
 *258 
 
 *312 
 
 55 
 
 795 
 
 900367 
 
 0422 
 
 0476 
 
 0531 
 
 0586 
 
 0640 
 
 0695 
 
 0749 
 
 0804 
 
 0859 
 
 55 
 
 796 
 
 0913 
 
 0968 
 
 1022 
 
 1077 
 
 1131 
 
 1186 
 
 1240 
 
 1295 
 
 1349 
 
 1404 
 
 55 
 
 797 
 
 1458 
 
 1513 
 
 1567 
 
 1622 
 
 1676 
 
 1731 
 
 1785 
 
 1840 
 
 1894 
 
 1948 
 
 54 
 
 798 
 
 2003 
 
 2057 
 
 2112 
 
 2166 
 
 2221 
 
 2275 
 
 2329 
 
 2384 
 
 2438 
 
 2492 
 
 54 
 
 799 
 
 2547 
 
 2601 
 
 2655 
 
 2710 
 
 2764 
 
 2818 
 
 2873 
 
 2927 
 
 2981 
 
 3036 
 
 54 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
TABLE XXIX (CONTINUED) 
 
 61 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 800 
 
 903090 
 
 3144 
 
 3199 
 
 3253 
 
 3307 
 
 3361 
 
 3416 
 
 3470 
 
 3524 
 
 3578 
 
 54 
 
 801 
 
 3633 
 
 3687 
 
 3741 
 
 3795 
 
 3849 
 
 3904 
 
 3958 
 
 4012 
 
 4066 
 
 4120 
 
 54 
 
 802 
 
 4174 
 
 4229 
 
 4283 
 
 4337 
 
 4391 
 
 4445 
 
 4499 
 
 4553 
 
 4607 
 
 4661 
 
 54 
 
 803 
 
 4716 
 
 4770 
 
 4824 
 
 4878 
 
 4932 
 
 4986 
 
 5040 
 
 5094 
 
 5148 
 
 5202 
 
 54 
 
 804 
 
 5256 
 
 5310 
 
 5364 
 
 5418 
 
 5472 
 
 5526 
 
 5580 
 
 5634 
 
 5688 
 
 5742 
 
 54 
 
 805 
 
 5796 
 
 5850 
 
 5904 
 
 5958 
 
 6012 
 
 6066 
 
 6119 
 
 6173 
 
 6227 
 
 6281 
 
 54 
 
 806 
 
 6335 
 
 6389 
 
 6443 
 
 6497 
 
 6551 
 
 6604 
 
 6658 
 
 6712 
 
 6766 
 
 6820 
 
 54 
 
 807 
 
 6874 
 
 6927 
 
 6981 
 
 7035 
 
 7089 
 
 7143 
 
 7196 
 
 7250 
 
 7304 
 
 7358 
 
 54 
 
 808 
 
 7411 
 
 7465 
 
 7519 
 
 7573 
 
 7626 
 
 7680 
 
 7734 
 
 7787 
 
 7841 
 
 7895 
 
 54 
 
 809 
 
 7949 
 
 8002 
 
 8056 
 
 8110 
 
 8163 
 
 8217 
 
 8270 
 
 8324 
 
 8378 
 
 8431 
 
 54 
 
 810 
 
 908485 
 
 8539 
 
 8592 
 
 8646 
 
 8699 
 
 8753 
 
 8807 
 
 8860 
 
 8914 
 
 8967 
 
 54 
 
 811 
 
 9021 
 
 9074 
 
 9128 
 
 9181 
 
 9235 
 
 9289 
 
 9342 
 
 9396 
 
 9449 
 
 9503 
 
 54 
 
 812 
 
 9556 
 
 9610 
 
 9663 
 
 9716 
 
 9770 
 
 9823 
 
 9877 
 
 9930 
 
 9984 
 
 **37 
 
 53 
 
 813 
 
 910091 
 
 0144 
 
 0197 
 
 0251 
 
 0304 
 
 0358 
 
 0411 
 
 0464 
 
 0518 
 
 0571 
 
 53 
 
 814 
 
 0624 
 
 0678 
 
 0731 
 
 0784 
 
 0838 
 
 0891 
 
 0944 
 
 0998 
 
 1051 
 
 1104 
 
 53 
 
 815 
 
 1158 
 
 1211 
 
 1264 
 
 1317 
 
 1371 
 
 1424 
 
 1477 
 
 1530 
 
 1584 
 
 1637 
 
 53 
 
 816 
 
 1690 
 
 1743 
 
 1797 
 
 1850 
 
 1903 
 
 1956 
 
 2009 
 
 2063 
 
 2116 
 
 2169 
 
 53 
 
 817 
 
 2222 
 
 2275 
 
 2328 
 
 2381 
 
 2435 
 
 2488 
 
 2541 
 
 2594 
 
 2647 
 
 2700 
 
 53 
 
 818 
 
 2753 
 
 2806 
 
 2859 
 
 2913 
 
 2966 
 
 3019 
 
 3072 
 
 3125 
 
 3178 
 
 3231 
 
 53 
 
 819 
 
 3284 
 
 3337 
 
 3390 
 
 3443 
 
 3496 
 
 3549 
 
 3602 
 
 3655 
 
 3708 
 
 3761 
 
 53 
 
 820 
 
 913814 
 
 3867 
 
 3920 
 
 3973 
 
 4026 
 
 4079 
 
 4132 
 
 4184 
 
 4237 
 
 4290 
 
 53 
 
 821 
 
 4343 
 
 4396 
 
 4449 
 
 4502 
 
 4555 
 
 4608 
 
 4660 
 
 4713 
 
 4766 
 
 4819 
 
 53 
 
 822 
 
 4872 
 
 4925 
 
 4977 
 
 5030 
 
 5083 
 
 5136 
 
 5189 
 
 5241 
 
 5294 
 
 5347 
 
 53 
 
 823 
 
 5400 
 
 5453 
 
 5505 
 
 5558 
 
 5611 
 
 5664 
 
 5716 
 
 5769 
 
 5822 
 
 5875 
 
 53 
 
 824 
 
 5927 
 
 5980 
 
 6033 
 
 6085 
 
 6138 
 
 6191 
 
 6243 
 
 6296 
 
 6349 
 
 6401 
 
 53 
 
 825 
 
 6454 
 
 6507 
 
 6559 
 
 6612 
 
 6664 
 
 6717 
 
 6770 
 
 6822 
 
 6875 
 
 6927 
 
 53 
 
 826 
 
 6980 
 
 7033 
 
 7085 
 
 7138 
 
 7190 
 
 7243 
 
 7295 
 
 7348 
 
 7400 
 
 7453 
 
 53 
 
 827 
 
 7506 
 
 7558 
 
 7611 
 
 7663 
 
 7716 
 
 7768 
 
 7820 
 
 7873 
 
 7925 
 
 7978 
 
 52 
 
 828 
 
 8030 
 
 8083 
 
 8135 
 
 8188 
 
 82-40 
 
 8293 
 
 8345 
 
 8397 
 
 8450 
 
 8502 
 
 52 
 
 829 
 
 8555 
 
 8607 
 
 8659 
 
 8712 
 
 8764 
 
 S816 
 
 8869 
 
 8921 
 
 8973 
 
 9026 
 
 52 
 
 830 
 
 919078 
 
 9130 
 
 9183 
 
 9235 
 
 9287 
 
 9340 
 
 9392 
 
 9444 
 
 9496 
 
 9549 
 
 52 
 
 831 
 
 9601 
 
 9653 
 
 9706 
 
 9758 
 
 9810 
 
 9862 
 
 9914 
 
 9967 
 
 **1 9 
 
 **71 
 
 52 
 
 832 
 
 920123 
 
 0176 
 
 0228 
 
 0280 
 
 0332 
 
 0384 
 
 0436 
 
 0489 
 
 0541 
 
 0593 
 
 52 
 
 833 
 
 0645 
 
 0697 
 
 0749 
 
 0801 
 
 0853 
 
 0906 
 
 0958 
 
 1010 
 
 1062 
 
 1114 
 
 52 
 
 834 
 
 1166 
 
 1218 
 
 1270 
 
 1322 
 
 1374 
 
 1426 
 
 1478 
 
 1530 
 
 1582 
 
 1634 
 
 52 
 
 835 
 
 1686 
 
 1738 
 
 1790 
 
 1842 
 
 1894 
 
 1946 
 
 1998 
 
 2050 
 
 2102 
 
 2154 
 
 52 
 
 836 
 
 2206 
 
 2258 
 
 2310 
 
 2362 
 
 2414 
 
 2466 
 
 2518 
 
 2570 
 
 2622 
 
 2674 
 
 52 
 
 837 
 
 2725 
 
 2777 
 
 2829 
 
 2881 
 
 2933 
 
 2985 
 
 3037 
 
 3089 
 
 3140 
 
 3192 
 
 52 
 
 838 
 
 3244 
 
 3296 
 
 3348 
 
 3399 
 
 3451 
 
 3503 
 
 3555 
 
 3607 
 
 3658 
 
 3710 
 
 52 
 
 839 
 
 3762 
 
 3814 
 
 3865 
 
 3917 
 
 3969 
 
 4021 
 
 4072 
 
 4124 
 
 4176 
 
 4228 
 
 52 
 
 840 
 
 924279 
 
 4331 
 
 4383 
 
 4434 
 
 4486 
 
 4538 
 
 4589 
 
 4641 
 
 4693 
 
 4744 
 
 52 
 
 841 
 
 4796 
 
 4848 
 
 4899 
 
 4951 
 
 5003 
 
 5054 
 
 5106 
 
 5157 
 
 5209 
 
 5261 
 
 52 
 
 842 
 
 5312 
 
 5364 
 
 5415 
 
 5467 
 
 5518 
 
 5570 
 
 5621 
 
 5673 
 
 5725 
 
 5776 
 
 52 
 
 843 
 
 5828 
 
 5879 
 
 5931 
 
 5982 
 
 6034 
 
 6085 
 
 6137 
 
 6188 
 
 6240 
 
 6291 
 
 51 
 
 844 
 
 6342 
 
 6394 
 
 6445 
 
 6497 
 
 6548 
 
 6600 
 
 6651 
 
 6702 
 
 6754 
 
 6805 
 
 51 
 
 845 
 
 6857 
 
 6908 
 
 6959 
 
 7011 
 
 7062 
 
 7114 
 
 7165 
 
 7216 
 
 7268 
 
 7319 
 
 51 
 
 846 
 
 7370 
 
 7422 
 
 7473 
 
 7524 
 
 7576 
 
 7627 
 
 7678 
 
 7730 
 
 7781 
 
 7832 
 
 51 
 
 847 
 
 7883 
 
 7935 
 
 79S6 
 
 8037 
 
 8088 
 
 8140 
 
 9191 
 
 8242 
 
 8293 
 
 8345 
 
 51 
 
 848 
 
 8396 
 
 8447 
 
 8498 
 
 8549 
 
 8601 
 
 8652 
 
 8703 
 
 8754 
 
 8805 
 
 8857 
 
 51 
 
 849 
 
 8908 
 
 8959 
 
 9010 
 
 9061 
 
 9112 
 
 9163 
 
 9215 
 
 9266 
 
 9317 
 
 9368 
 
 51 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
62 
 
 TABLE XXIX (COXTIXUED) 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 850 
 
 929419 
 
 9470 
 
 9521 
 
 9572 
 
 9623 
 
 9674 
 
 9725 
 
 9776 
 
 9827 
 
 9879 
 
 51 
 
 851 
 
 9930 
 
 9981 
 
 **32 
 
 **S3 
 
 *134 
 
 *185 
 
 *236 
 
 *287 
 
 *338 
 
 *389 
 
 51 
 
 852 
 
 930440 
 
 0491 
 
 0542 
 
 0592 
 
 0643 
 
 0694 
 
 0745 
 
 0796 
 
 0847 
 
 0898 
 
 51 
 
 853 
 
 0949 
 
 1000 
 
 1051 
 
 1102 
 
 1153 
 
 1204 
 
 1254 
 
 1305 
 
 1356 
 
 1407 
 
 51 
 
 854 
 
 1458 
 
 1509 
 
 1560 
 
 1610 
 
 1661 
 
 1712 
 
 1763 
 
 1814 
 
 1865 
 
 1915 
 
 51 
 
 855 
 
 1966 
 
 2017 
 
 2068 
 
 2118 
 
 2169 
 
 2220 
 
 2271 
 
 2322 
 
 2372 
 
 2423 
 
 51 
 
 856 
 
 2474 
 
 2524 
 
 2575 
 
 2626 
 
 2677 
 
 2727 
 
 2778 
 
 2829 
 
 2879 
 
 2930 
 
 51 
 
 857 
 
 2981 
 
 3031 
 
 3082 
 
 3133 
 
 3183 
 
 3234 
 
 3285 
 
 3335 
 
 3386 
 
 3437 
 
 51 
 
 858 
 
 34S7 
 
 3538 
 
 3589 
 
 3639 
 
 3690 
 
 3740 
 
 3791 
 
 3841 
 
 3892 
 
 3943 
 
 51 
 
 859 
 
 3993 
 
 4044 
 
 4094 
 
 4145 
 
 4195 
 
 4246 
 
 4296 
 
 4347 
 
 4397 
 
 4448 
 
 51 
 
 860 
 
 934498 
 
 4549 
 
 4599 
 
 4650 
 
 4700 
 
 4751 
 
 4801 
 
 4852 
 
 4902 
 
 4953 
 
 50 
 
 861 
 
 5003 
 
 5054 
 
 5104 
 
 5154 
 
 5205 
 
 5255 
 
 5306 
 
 5356 
 
 5406 
 
 5457 
 
 50 
 
 862 
 
 5507 
 
 5558 
 
 5608 
 
 5658 
 
 5709 
 
 5759 
 
 5809 
 
 5860 
 
 5910 
 
 5960 
 
 50 
 
 863 
 
 6011 
 
 6061 
 
 6111 
 
 6162 
 
 6212 
 
 6262 
 
 6313 
 
 6363 
 
 6413 
 
 6463 
 
 50 
 
 864 
 
 6514 
 
 6564 
 
 6614 
 
 6665 
 
 6715 
 
 6765 
 
 6815 
 
 6865 
 
 6916 
 
 6966 
 
 50 
 
 865 
 
 7016 
 
 7066 
 
 7117 
 
 7167 
 
 7217 
 
 7267 
 
 7317 
 
 7367 
 
 7418 
 
 7468 
 
 50 
 
 866 
 
 7518 
 
 7568 
 
 7618 
 
 7668 
 
 7718 
 
 7769 
 
 7819 
 
 7869 
 
 7919 
 
 7969 
 
 50 
 
 867 
 
 8019 
 
 8069 
 
 8119 
 
 8169 
 
 8219 
 
 8269 
 
 8320 
 
 8370 
 
 8420 
 
 8470 
 
 50 
 
 868 
 
 8520 
 
 8570 
 
 8620 
 
 8670 
 
 8720 
 
 8770 
 
 8820 
 
 8870 
 
 8920 
 
 8970 
 
 50 
 
 869 
 
 9020 
 
 9070 
 
 9120 
 
 9170 
 
 9220 
 
 9270 
 
 9320 
 
 9369 
 
 9419 
 
 9469 
 
 50 
 
 870 
 
 939519 
 
 9569 
 
 9619 
 
 9669 
 
 9719 
 
 9769 
 
 9819 
 
 9869 
 
 9918 
 
 9968 
 
 50 
 
 871 
 
 940018 
 
 006S 
 
 0118 
 
 0168 
 
 0218 
 
 0267 
 
 0317 
 
 0367 
 
 0417 
 
 0467 
 
 50 
 
 872 
 
 0516 
 
 0566 
 
 0616 
 
 0666 
 
 0716 
 
 0765 
 
 0815 
 
 0865 
 
 0915 
 
 0964 
 
 50 
 
 873 
 
 1014 
 
 1064 
 
 1114 
 
 1163 
 
 1213 
 
 1263 
 
 1313 
 
 1362 
 
 1412 
 
 1462 
 
 50 
 
 874 
 
 1511 
 
 1561 
 
 1611 
 
 1660 
 
 1710 
 
 1760 
 
 1809 
 
 1859 
 
 1909 
 
 1958 
 
 50 
 
 875 
 
 2008 
 
 2058 
 
 2107 
 
 2157 
 
 2207 
 
 2256 
 
 2306 
 
 2355 
 
 2405 
 
 2455 
 
 50 
 
 876 
 
 2504 
 
 2554 
 
 2603 
 
 2653 
 
 2702 
 
 2752 
 
 2801 
 
 2851 
 
 2901 
 
 2950 
 
 50 
 
 877 
 
 3000 
 
 3049 
 
 3099 
 
 3148 
 
 3198 
 
 3247 
 
 3297 
 
 3346 
 
 3396 
 
 3445 
 
 49 
 
 878 
 
 3495 
 
 3544 
 
 3593 
 
 3643 
 
 3692 
 
 3742 
 
 3791 
 
 3841 
 
 3890 
 
 3939 
 
 49 
 
 879 
 
 3989 
 
 4038 
 
 4088 
 
 4137 
 
 4186 
 
 4236 
 
 4285 
 
 4335 
 
 4384 
 
 4433 
 
 49 
 
 880 
 
 944483 
 
 4532 
 
 4581 
 
 4631 
 
 4680 
 
 4729 
 
 4779 
 
 4828 
 
 4877 
 
 4927 
 
 49 
 
 881 
 
 4976 
 
 5025 
 
 5074 
 
 5124 
 
 5173 
 
 5222 
 
 5272 
 
 5321 
 
 5370 
 
 5419 
 
 49 
 
 882 
 
 5469 
 
 5518 
 
 5567 
 
 5616 
 
 5665 
 
 5715 
 
 5764 
 
 5813 
 
 5862 
 
 5912 
 
 49 
 
 883 
 
 5961 
 
 6010 
 
 6059 
 
 6108 
 
 6157 
 
 6207 
 
 6256 
 
 6305 
 
 6354 
 
 6403 
 
 49 
 
 884 
 
 6452 
 
 6501 
 
 6551 
 
 6600 
 
 6649 
 
 6698 
 
 6747 
 
 6796 
 
 6845 
 
 6894 
 
 49 
 
 885 
 
 6943 
 
 6992 
 
 7041 
 
 7090 
 
 7140 
 
 7189 
 
 7238 
 
 7287 
 
 7336 
 
 7385 
 
 49 
 
 886 
 
 7434 
 
 7483 
 
 7532 
 
 7581 
 
 7630 
 
 7679 
 
 7728 
 
 7777 
 
 7826 
 
 7875 
 
 49 
 
 887 
 
 7924. 
 
 7973 
 
 8022 
 
 8070 
 
 8119 
 
 8168 
 
 8217 
 
 8366 
 
 8315 
 
 8364 
 
 49 
 
 888 
 
 8413 
 
 8462 
 
 8511 
 
 8560 
 
 8609 
 
 8657 
 
 8706 
 
 8755 
 
 8804 
 
 8853 
 
 49 
 
 889 
 
 8902 
 
 8951 
 
 8999 
 
 9048 
 
 9097 
 
 9146 
 
 9195 
 
 9244 
 
 9292 
 
 9341 
 
 49 
 
 890 
 
 949390 
 
 9439 
 
 9488 
 
 9536 
 
 9585 
 
 9634 
 
 9683 
 
 9731 
 
 9780 
 
 9829 
 
 49 
 
 891 
 
 9878 
 
 9926 
 
 9975 
 
 **24 
 
 **73 
 
 *121 
 
 *170 
 
 *219 
 
 *267 
 
 *316 
 
 49 
 
 892 
 
 950365 
 
 0414 
 
 0462 
 
 0511 
 
 0560 
 
 0608 
 
 0657 
 
 0706 
 
 0754 
 
 0803 
 
 49 
 
 893 
 
 0851 
 
 0900 
 
 0949 
 
 0997 
 
 1046 
 
 1095 
 
 1143 
 
 1192 
 
 1240 
 
 1289 
 
 49 
 
 894 
 
 1338 
 
 1386 
 
 1435 
 
 1483 
 
 1532 
 
 1580 
 
 1629 
 
 1677 
 
 1726 
 
 1775 
 
 49 
 
 895 
 
 1823 
 
 1872 
 
 1920 
 
 1969 
 
 2017 
 
 2066 
 
 2114 
 
 2163 
 
 2211 
 
 2260 
 
 48 
 
 896 
 
 2308 
 
 2356 
 
 2405 
 
 2453 
 
 2502 
 
 2550 
 
 2599 
 
 2647 
 
 2696 
 
 2744 
 
 48 
 
 897 
 
 2792 
 
 2841 
 
 2889 
 
 2938 
 
 2986 
 
 3034 
 
 3083 
 
 3131 
 
 3180 
 
 3228 
 
 48 
 
 898 
 
 3276 
 
 3325 
 
 3373 
 
 3421 
 
 3470 
 
 3518 
 
 3566 
 
 3615 
 
 3663 
 
 3711 
 
 48 
 
 899 
 
 3760 
 
 3808 
 
 3856 
 
 3905 
 
 3953 
 
 4001 
 
 4049 
 
 4098 
 
 4146 
 
 4194 
 
 48 
 
 W. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
TABLE XXIX (CONTINUED) 
 
 63 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 900 
 
 954243 
 
 4291 
 
 4339 
 
 4387 
 
 4435 
 
 4484 
 
 4532 
 
 4580 
 
 4628 
 
 4677 
 
 48 
 
 901 
 
 4725 
 
 4773 
 
 4821 
 
 4869 
 
 4918 
 
 4966 
 
 5014 
 
 5062 
 
 5110 
 
 5158 
 
 48 
 
 902 
 
 5207 
 
 5255 
 
 5303 
 
 5351 
 
 5399 
 
 5447 
 
 5495 
 
 5543 
 
 5592 
 
 5640 
 
 48 
 
 903 
 
 5688 
 
 5736 
 
 5784 
 
 5832 
 
 5880 
 
 5928 
 
 5976 
 
 6024 
 
 6072 
 
 6120 
 
 48 
 
 904 
 
 6168 
 
 6216 
 
 6265 
 
 6313 
 
 6361 
 
 6409 
 
 6457 
 
 6505 
 
 6553 
 
 6601 
 
 48 
 
 905 
 
 6649 
 
 6697 
 
 6745 
 
 6793 
 
 6840 
 
 6888 
 
 6936 
 
 6984 
 
 7032 
 
 7080 
 
 48 
 
 906 
 
 7128 
 
 7176 
 
 7224 
 
 7272 
 
 7320 
 
 7368 
 
 7416 
 
 7464 
 
 7512 
 
 7559 
 
 48 
 
 907 
 
 7607 
 
 7655 
 
 7703 
 
 7751 
 
 7799 
 
 7847 
 
 7894 
 
 7942 
 
 7990 
 
 8038 
 
 48 
 
 908 
 
 8086 
 
 8134 
 
 8181 
 
 8229 
 
 8277 
 
 8325 
 
 8373 
 
 8421 
 
 8468 
 
 8516 
 
 48 
 
 909 
 
 8564 
 
 8612 
 
 8659 
 
 8707 
 
 8755 
 
 8803 
 
 8850 
 
 8898 
 
 8946 
 
 8994 
 
 48 
 
 910 
 
 959041 
 
 9089 
 
 9137 
 
 9185 
 
 9232 
 
 9280 
 
 9328 
 
 9375 
 
 9423 
 
 9471 
 
 48 
 
 911 
 
 9518 
 
 9566 
 
 9614 
 
 9661 
 
 9709 
 
 9757 
 
 9804 
 
 9852 
 
 9900 
 
 9947 
 
 48 
 
 912 
 
 9995 
 
 **42 
 
 **90 
 
 *13S 
 
 *185 
 
 *233 
 
 *2SO 
 
 *32S 
 
 *376 
 
 *423 
 
 48 
 
 913 
 
 960471 
 
 0518 
 
 0566 
 
 0613 
 
 0661 
 
 0709 
 
 0756 
 
 0804 
 
 0851 
 
 0899 
 
 48 
 
 914 
 
 0946 
 
 0994 
 
 1041 
 
 1089 
 
 1136 
 
 1184 
 
 1231 
 
 1279 
 
 1326 
 
 1374 
 
 47 
 
 915 
 
 1421 
 
 1469 
 
 1516 
 
 1563 
 
 1611 
 
 1658 
 
 1706 
 
 1753 
 
 1801 
 
 1848 
 
 47 
 
 916 
 
 1895 
 
 1943 
 
 1990 
 
 2038 
 
 2085 
 
 2132 
 
 2180 
 
 2227 
 
 2275 
 
 2322 
 
 47 
 
 917 
 
 2369 
 
 2417 
 
 2464 
 
 2511 
 
 2559 
 
 2606 
 
 2653 
 
 2701 
 
 2748 
 
 2795 
 
 47 
 
 918 
 
 2843 
 
 2890 
 
 2937 
 
 2985 
 
 3032 
 
 3079 
 
 3126 
 
 3174 
 
 3221 
 
 3268 
 
 47 
 
 919 
 
 3316 
 
 3363 
 
 3410 
 
 3457 
 
 3504 
 
 3552 
 
 3599 
 
 3646 
 
 3693 
 
 3741 
 
 47 
 
 920 
 
 963788 
 
 3835 
 
 3882 
 
 3929 
 
 3977 
 
 4024 
 
 4071 
 
 4118 
 
 4165 
 
 4212 
 
 47 
 
 921 
 
 4260 
 
 4307 
 
 4354 
 
 4401 
 
 4448 
 
 4495 
 
 4542 
 
 4590 
 
 4637 
 
 4684 
 
 47 
 
 922 
 
 4731 
 
 4778 
 
 4825 
 
 4872 
 
 4919 
 
 4966 
 
 5013 
 
 5061 
 
 5108 
 
 5155 
 
 47 
 
 923 
 
 5202 
 
 5249 
 
 5296 
 
 5343 
 
 5390 
 
 5437 
 
 5484 
 
 5531 
 
 5578 
 
 5625 
 
 47 
 
 924 
 
 5672 
 
 5719 
 
 5766 
 
 5813 
 
 5860 
 
 5907 
 
 5954 
 
 6001 
 
 6048 
 
 6095 
 
 47 
 
 925 
 
 6142 
 
 6189 
 
 6236 
 
 6283 
 
 6329 
 
 6376 
 
 6423 
 
 6470 
 
 6517 
 
 6564 
 
 47 
 
 926 
 
 6611 
 
 6658 
 
 6705 
 
 6752 
 
 6799 
 
 6845 
 
 6892 
 
 6939 
 
 6986 
 
 7033 
 
 47 
 
 927 
 
 7080 
 
 7127 
 
 7173 
 
 7220 
 
 7267 
 
 7314 
 
 7361 
 
 7408 
 
 7454 
 
 7501 
 
 47 
 
 928 
 
 7548 
 
 7595 
 
 7642 
 
 7688 
 
 7735 
 
 7782 
 
 7829 
 
 7S75 
 
 7922 
 
 7969 
 
 47 
 
 929 
 
 8016 
 
 8062 
 
 8109 
 
 8156 
 
 8203 
 
 8249 
 
 8296 
 
 8343 
 
 8390 
 
 8436 
 
 .47 
 
 930 
 
 968483 
 
 8530 
 
 8576 
 
 8623 
 
 8670 
 
 8716 
 
 8763 
 
 8810 
 
 8856 
 
 8903 
 
 47 
 
 931 
 
 8950 
 
 8996 
 
 9043 
 
 9090 
 
 9136 
 
 9183 
 
 9229 
 
 9276 
 
 9323 
 
 9369 
 
 47 
 
 932 
 
 9416 
 
 9463 
 
 9509 
 
 9556 
 
 9602 
 
 9649 
 
 9695 
 
 9742 
 
 9789 
 
 9835 
 
 47 
 
 933 
 
 9882 
 
 9928 
 
 9975 
 
 *#21 
 
 **6S 
 
 #114 
 
 *161 
 
 *207 
 
 *254 
 
 *300 
 
 47 
 
 934 
 
 970347 
 
 0393 
 
 0440 
 
 0486 
 
 0533 
 
 0579 
 
 0626 
 
 0672 
 
 0719 
 
 0765 
 
 46 
 
 935 
 
 0812 
 
 0858 
 
 0904 
 
 0951 
 
 0997 
 
 1044 
 
 1090 
 
 1137 
 
 1183 
 
 1229 
 
 46 
 
 936 
 
 1276 
 
 1322 
 
 1369 
 
 1415 
 
 1461 
 
 1508 
 
 1554 
 
 1601 
 
 1647 
 
 1693 
 
 46 
 
 937 
 
 1740 
 
 1786 
 
 1832 
 
 1879 
 
 1925 
 
 1971 
 
 2018 
 
 2064 
 
 2110 
 
 2157 
 
 46 
 
 938 
 
 2203 
 
 2249 
 
 2295 
 
 2342 
 
 2388 
 
 2434 
 
 2481 
 
 2527 
 
 2573 
 
 2619 
 
 46 
 
 939 
 
 2666 
 
 2712 
 
 2758 
 
 2804 
 
 2851 
 
 2897 
 
 2943 
 
 2989 
 
 3035 
 
 3082 
 
 46 
 
 940 
 
 973128 
 
 3174 
 
 3220 
 
 3266 
 
 3313 
 
 3359 
 
 3405 
 
 3451 
 
 3497 
 
 3543 
 
 46 
 
 941 
 
 3590 
 
 3636 
 
 3682 
 
 3728 
 
 3774 
 
 3820 
 
 3866 
 
 3913 
 
 3959 
 
 4005 
 
 46 
 
 942 
 
 4051 
 
 4097 
 
 4143 
 
 4189 
 
 4235 
 
 4281 
 
 4327 
 
 4374 
 
 4420 
 
 4466 
 
 46 
 
 943 
 
 4512 
 
 4558 
 
 4604 
 
 4650 
 
 4696 
 
 4742 
 
 4788 
 
 4834 
 
 4880 
 
 4926 
 
 46 
 
 944 
 
 4972 
 
 5018 
 
 5064 
 
 5110 
 
 5156 
 
 5202 
 
 5248 
 
 5294 
 
 5340 
 
 5386 
 
 46 
 
 945 
 
 5432 
 
 5478 
 
 5524 
 
 5570 
 
 5616 
 
 5662 
 
 5707 
 
 5753 
 
 5799 
 
 5845 
 
 46 
 
 946 
 
 5891 
 
 5937 
 
 5983 
 
 6029 
 
 6075 
 
 6121 
 
 6167 
 
 6212 
 
 6258 
 
 6304 
 
 46 
 
 947 
 
 6350 
 
 6396 
 
 6442 
 
 6488 
 
 6533 
 
 6579 
 
 6625 
 
 6671 
 
 6717 
 
 6763 
 
 46 
 
 948 
 
 6808 
 
 6854 
 
 6900 
 
 6946 
 
 6992 
 
 7037 
 
 7083 
 
 7129 
 
 7175 
 
 7220 
 
 46 
 
 949 
 
 7266 
 
 7312 
 
 7358 
 
 7403 
 
 7449 
 
 7495 
 
 7541 
 
 7586 
 
 7632 
 
 7678 
 
 46 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
TABLE XXIX (CONTINUED) 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
 950 
 
 977724 
 
 7769 
 
 7815 
 
 7861 
 
 7906 
 
 7952 
 
 7998 
 
 8043 
 
 8089 
 
 8135 
 
 46 
 
 951 
 
 8181 
 
 8226 
 
 8272 
 
 8317 
 
 8363 
 
 8409 
 
 8454 
 
 8500 
 
 8546 
 
 8591 
 
 46 
 
 952 
 
 8637 
 
 8683 
 
 8728 
 
 8774 
 
 8819 
 
 8865 
 
 8911 
 
 8956 
 
 9002 
 
 9047 
 
 46 
 
 953 
 
 9093 
 
 9138 
 
 9184 
 
 9230 
 
 9275 
 
 9321 
 
 9366 
 
 9412 
 
 9457 
 
 9503 
 
 46 
 
 954 
 
 9548 
 
 9594 
 
 9639 
 
 9685 
 
 9730 
 
 9776 
 
 9821 
 
 9867 
 
 9912 
 
 9958 
 
 46 
 
 955 
 
 980003 
 
 0049 
 
 0094 
 
 0140 
 
 0185 
 
 0231 
 
 0276 
 
 0322 
 
 0367 
 
 0412 
 
 45 
 
 956 
 
 0458 
 
 0503 
 
 0549 
 
 0594 
 
 0640 
 
 0685 
 
 0730 
 
 0776 
 
 0821 
 
 0867 
 
 45 
 
 957 
 
 0912 
 
 0957 
 
 1003 
 
 104S 
 
 1093 
 
 1139 
 
 1184 
 
 1229 
 
 1275 
 
 1320 
 
 45 
 
 958 
 
 1365 
 
 1411 
 
 1456 
 
 1501 
 
 1547 
 
 1592 
 
 1637 
 
 1683 
 
 1728 
 
 1773 
 
 45 
 
 959 
 
 1819 
 
 1864 
 
 1909 
 
 1954 
 
 2000 
 
 2045 
 
 2090 
 
 2135 
 
 2181 
 
 2226 
 
 45 
 
 960 
 
 982271 
 
 2316 
 
 2362 
 
 2407 
 
 2452 
 
 2497 
 
 2543 
 
 2588 
 
 2633 
 
 2678 
 
 45 
 
 961 
 
 2723 
 
 2769 
 
 2814 
 
 2859 
 
 2904 
 
 2949 
 
 2994 
 
 3040 
 
 3085 
 
 3130 
 
 45 
 
 962 
 
 3175 
 
 3220 
 
 3265 
 
 3310 
 
 3356 
 
 3401 
 
 3446 
 
 3491 
 
 3536 
 
 3581 
 
 45 
 
 963 
 
 3626 
 
 3671 
 
 3716 
 
 3762 
 
 3807 
 
 3852 
 
 3897 
 
 3942 
 
 3987 
 
 4032 
 
 45 
 
 964 
 
 4077 
 
 4122 
 
 4167 
 
 4212 
 
 4257 
 
 4302 
 
 4347 
 
 4392 
 
 4437 
 
 4482 
 
 45 
 
 965 
 
 4527 
 
 4572 
 
 4617 
 
 4662 
 
 4707 
 
 4752 
 
 4797 
 
 4842 
 
 4887 
 
 4932 
 
 45 
 
 966 
 
 4977 
 
 5022 
 
 5067 
 
 5112 
 
 5157 
 
 5202 
 
 5247 
 
 5292 
 
 5337 
 
 5382 
 
 45 
 
 967 
 
 5426 
 
 5471 
 
 5516 
 
 5561 
 
 5606 
 
 5651 
 
 5696 
 
 5741 
 
 5786 
 
 5830 
 
 45 
 
 968 
 
 5875 
 
 5920 
 
 5965 
 
 6010 
 
 6055 
 
 6100 
 
 6144 
 
 6189 
 
 6234 
 
 6279 
 
 45 
 
 969 
 
 6324 
 
 6369 
 
 6413 
 
 6458 
 
 6503 
 
 6548 
 
 6593 
 
 6637 
 
 6682 
 
 6727 
 
 45 
 
 970 
 
 986772 
 
 6817 
 
 6861 
 
 6906 
 
 6951 
 
 6996 
 
 7040 
 
 7085 
 
 7130 
 
 7175 
 
 45 
 
 971 
 
 7219 
 
 7264 
 
 7309 
 
 7353 
 
 7398 
 
 7443 
 
 7488 
 
 7532 
 
 7577 
 
 7622 
 
 45 
 
 972 
 
 7666 
 
 7711 
 
 7756 
 
 7800 
 
 7845 
 
 7890 
 
 7934 
 
 7979 
 
 8024 
 
 8068 
 
 45 
 
 973 
 
 8113 
 
 8157 
 
 8202 
 
 8247 
 
 8291 
 
 8336 
 
 83S1 
 
 8425 
 
 8470 
 
 8514 
 
 45 
 
 974 
 
 8559 
 
 8604 
 
 8648 
 
 8693 
 
 8737 
 
 8782 
 
 8826 
 
 8871 
 
 8916 
 
 8960 
 
 45 
 
 975 
 
 9005 
 
 9049 
 
 9094 
 
 9138 
 
 9183 
 
 9227 
 
 9272 
 
 9316 
 
 9361 
 
 9405 
 
 45 
 
 976 
 
 9450 
 
 9494 
 
 9539 
 
 9583 
 
 9628 
 
 9672 
 
 9717 
 
 9761 
 
 9806 
 
 9850 
 
 44 
 
 977 
 
 9895 
 
 9939 
 
 9983 
 
 **2S 
 
 **72 
 
 *117 
 
 *161 
 
 *206 
 
 *250 
 
 *294 
 
 44 
 
 978 
 
 990339 
 
 0383 
 
 0428 
 
 0472 
 
 0516 
 
 0561 
 
 0605 
 
 0650 
 
 0694 
 
 0738 
 
 44 
 
 979 
 
 0783 
 
 0827 
 
 0871 
 
 0916 
 
 0960 
 
 1004 
 
 1049 
 
 1093 
 
 1137 
 
 1182 
 
 44 
 
 980 
 
 991226 
 
 1270 
 
 1315 
 
 1359 
 
 1403 
 
 1448 
 
 1492 
 
 1536 
 
 1580 
 
 1625 
 
 44 
 
 981 
 
 1669 
 
 1713 
 
 1758 
 
 1802 
 
 1846 
 
 1890 
 
 1935 
 
 1979 
 
 2023 
 
 2067 
 
 44 
 
 982 
 
 2111 
 
 2156 
 
 2200 
 
 2244 
 
 2288 
 
 2333 
 
 2377 
 
 2421 
 
 2465 
 
 2509 
 
 44 
 
 983 
 
 2554 
 
 2598 
 
 2642 
 
 2686 
 
 2730 
 
 2774 
 
 2819 
 
 2863 
 
 2907 
 
 2951 
 
 44 
 
 984 
 
 2995 
 
 3039 
 
 3083 
 
 3127 
 
 3172 
 
 3216 
 
 3260 
 
 3304 
 
 3348 
 
 3392 
 
 44 
 
 985 
 
 3436 
 
 34SO 
 
 3524 
 
 3568 
 
 3613 
 
 3657 
 
 3701 
 
 3745 
 
 3789 
 
 3833 
 
 44 
 
 986 
 
 3877 
 
 3921 
 
 3965 
 
 4009 
 
 4053 
 
 4097 
 
 4141 
 
 4185 
 
 4229 
 
 4273 
 
 44 
 
 987 
 
 4317 
 
 4361 
 
 4405 
 
 4449 
 
 4493 
 
 4537 
 
 4581 
 
 4625 
 
 4669 
 
 4713 
 
 44 
 
 988 
 
 4757 
 
 4801 
 
 4845 
 
 4889 
 
 4933 
 
 4977 
 
 5021 
 
 5065 
 
 5108 
 
 5152 
 
 44 
 
 989 
 
 5196 
 
 5240 
 
 5284 
 
 5328 
 
 5372 
 
 5416 
 
 5460 
 
 5504 
 
 5547 
 
 5591 
 
 44 
 
 990 
 
 995635 
 
 5679 
 
 5723 
 
 5767 
 
 5811 
 
 5854 
 
 5898 
 
 5942 
 
 5986 
 
 6030 
 
 44 
 
 991 
 
 6074 
 
 6117 
 
 6161 
 
 6205 
 
 6249 
 
 6293 
 
 6337 
 
 6380 
 
 6424 
 
 6468 
 
 44 
 
 992 
 
 6512 
 
 6555 
 
 6599 
 
 6643 
 
 6687 
 
 6731 
 
 6774 
 
 6818 
 
 6862 
 
 6906 
 
 44 
 
 993 
 
 6949 
 
 6993 
 
 7037 
 
 7080 
 
 7124 
 
 7168 
 
 7212 
 
 7255 
 
 7299 
 
 7343 
 
 44 
 
 994 
 
 7386 
 
 7430 
 
 7474 
 
 7517 
 
 7561 
 
 7605 
 
 7648 
 
 7692 
 
 7736 
 
 7779 
 
 44 
 
 995 
 
 7823 
 
 7867 
 
 7910 
 
 7954 
 
 7998 
 
 8041 
 
 8085 
 
 8129 
 
 8172 
 
 8216 
 
 44 
 
 996 
 
 8259 
 
 8303 
 
 8347 
 
 8390 
 
 8434 
 
 8477 
 
 8521 
 
 8564 
 
 8608 
 
 8652 
 
 44 
 
 997 
 
 8695 
 
 8739 
 
 8782 
 
 8S26 
 
 8869 
 
 8913 
 
 8956 
 
 9000 
 
 9043 
 
 9087 
 
 44 
 
 998 
 
 9131 
 
 9174 
 
 9218 
 
 9261 
 
 9305 
 
 9348 
 
 9392 
 
 9435 
 
 9479 
 
 9522 
 
 44 
 
 999 
 
 9565 
 
 9609 
 
 9652 
 
 9696 
 
 9739 
 
 9783 
 
 9826 
 
 9870 
 
 9913 
 
 9957 
 
 43 
 
 N. 
 
 
 
 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 7 
 
 8 
 
 9 
 
 D. 
 
EXPLANATIONS OF THE PRECEDING TABLES 
 
 TABLE I 
 THE ATOMIC WEIGHTS OF THE ELEMENTS 
 
 This table contains the most recent values of the atomic weights of the ele- 
 ments, based upon the following standards : oxygen 16.000, silver = 107.87. 
 
 There seems to be little doubt now that the atomic weight of silver is at 
 least as low as 107.87, and for that reason all of those values which have 
 been determined by means of silver are recalculated to this basis. 
 
 The writer has ventured to give the atomic weights of a few elements to 
 three places of decimals, but it must be remembered that the third place is 
 obtained by averaging a large number of analyses, and, with two exceptions, 
 it is not definitely known. However, in view of the fact that such excellent 
 work has been done in revising the weights in these special cases, it seems 
 probable that the values as recorded approach more closely the true values 
 than would be the case if the third place were dropped. 
 
 TABLES II-IV 
 
 These tables contain the molecular weights * of common compounds, mul- 
 tiples of the atomic weights of common elements, and of some common 
 compounds. 
 
 They are useful in calculating the amounts of substances which are chemically 
 equivalent to given amounts of other substances. A few examples will illus- 
 trate some of their uses : 
 
 (1) Calculate the weight of hydrochloric acid which is exactly equivalent 
 to 1.5 grams of sodium carbonate. 
 
 Na 2 CO 3 + 2 HC1 = 2 NaCl + CO 2 + H 2 O. 
 mol. wt. Na 2 CO 3 : mol. wt, HC1 x 2 : : 1.5 grains Na 2 CO 3 : x grams HC1. 
 
 " mol. wt. HC1 x 2 x 1.5 
 
 = wt. HC1 required. 
 
 mol. wt. Na 2 CO 3 
 
 * The accuracy of a molecular \veight is largely determined by the least accurate of the 
 atomic weights which make it up. For example, it is useless to give the molecular weight of 
 sulphuric acid to more than two places of decimals, although the atomic weight of hydrogen is 
 known within a few units in the fourth place of decimals, and oxygen is the standard. 
 
 65 
 
66 EXPLANATIONS OF THE PKECEDING TABLES 
 
 log second multiple of the mol. wt. HC1 (Table IV) = 1.862870 
 log 1.5 (table of logarithms) = 0.17(3091 
 
 sum = 2.038901 
 
 log mol. wt. Na 2 C0 3 (Table III) = 2.025265 
 
 difference = 0.013696 
 
 The number of which 0.013696 is the logarithm is 1.03203, which is the weight of HC1 
 required. 
 
 (2) What weight of silver must be dissolved in nitric acid and added to 
 a solution containing two grams of barium chloride in order to precipitate 
 exactly all of the chlorine? 
 
 BaCl 2 + 2 AgN0 8 = 2 AgCl + Ba (N0 3 ) 2 . 
 mol. wt. BaCl 2 : at. wt. Ag x 2 : : 2 grams BaCl 2 : x grams Ag. 
 
 at. wt. Ag x 2 x 2 
 
 = wt. Ag required. 
 
 mol. wt. BaCl 2 
 
 log second multiple at. wt. Ag (Table II) = 2.333930 
 log 2 (table of logarithms) = 0.301030 
 
 sum - 2.634960 
 
 log mol. wt. BaCl 2 (Table III) = 2.318627 
 
 difference = 0.316333 
 
 The number of which 0.316333 is the logarithm is 2.07172, which is the weight of silver 
 required. 
 
 (3) The atomic weights of many of the elements are most readily and 
 accurately determined by preparing certain of their halides in a state of 
 great purity, and then in a weighed sample of such material determining the 
 exact weight of pure silver which is equivalent to the halogen. From such 
 data the atomic weight of the element in question may be easily calculated 
 by means of the tables. For example, let us take a special case which will 
 illustrate the method : A weighed sample of phosphorus tribromide was 
 treated in such a manner that the exact weight of silver equivalent to the 
 bromine it contained was determined, and the weight of silver bromide 
 formed was also determined. The atomic weights of bromine and silver 
 being accurately known, we have only to calculate from the data the molecu- 
 lar weight of phosphorus tribromide and subtract from it three times the 
 atomic weight of bromine in order to obtain the atomic weight of phosphorus. 
 Therefore we make the following proportion : 
 
 wt. Ag : wt. PBr 3 : : at. wt. Ag x 3 : mol. wt. PBr g . 
 
EXPLANATIONS OF THE PRECEDING TABLES 67 
 
 In this calculation we need, in addition to the logarithms of the first two 
 terms of the proportion, the logarithm of the third multiple of the atomic 
 weight of silver, and the third multiple of the atomic weight of bromine, 
 both of which are given in Table II. 
 
 To calculate the same value from the weight of silver bromide formed, 
 which incidentally serves as a check on the first value and also gives one a 
 clear idea of the purity of the precipitate, we make the following proportion : 
 
 wt. AgBr : wt. PBr 3 : : mol. wt. AgBr x 3 : mol. wt. PBr 3 . 
 
 The third multiple of the molecular weight of silver bromide is given in 
 Table IV. 
 
 The tables are also useful in making standard solutions, especially those of 
 certain normalities, as in many cases it is only necessary to shift the decimal 
 point in the proper value in order to ascertain the weight of substance which 
 a liter of the standard solution should contain. 
 
 A normal solution contains in a liter of solution a gram molecular weight 
 of substance reduced to a univalent basis. 
 
 Two examples will serve to indicate the method of using the tables for 
 this purpose. 
 
 NOTE. It is scarcely necessary to call attention to the rule of decimal fractions, i.e. 
 that to divide by 10 is equivalent to moving the decimal point one place to the left in 
 the dividend ; that to divide by 100 is equivalent to moving the point two places to the 
 left, etc. 
 
 SOLUTIONS OF HYDROCHLORIC ACID OF CERTAIN NORMALITIES 
 
 JV=mol. wt. (Table III). 
 N _ mol. wt. __ mol. wt. x 5 
 ~2~~ 2 10 
 
 N mol. wt. mol. wt. x 2 
 
 55 10 
 
 N _ mol. wt. 
 
 To~ 10 
 
 N_ _ mol. wt. __ mol. wt. x 4 
 25~ 25 100 
 
 N _ mol. wt. mol. wt. x 2 
 50 ~~ 50 100 
 
 N _ mol. wt. 
 100~ 100 
 
 (Table IV). 
 
 (Table III). 
 
 (Table IV). 
 
 (Table IV). 
 (Table III). 
 
68 EXPLANATIONS OF THE PRECEDING TABLES 
 
 SOLUTIONS OF SODIUM CARBONATE OF CERTAIN NORMALITIES 
 N = moLwt. ^ mol.wt.x6 
 
 N mol. wt. mol. wt. /n 
 
 N mol. wt. mol.wt. x 5 ,, T 
 
 = =0= (Table IV). 
 
 10 2 x 10 100 
 
 N mol. wt. mol. wt. x 2 . 
 
 2^ = T^^--ToO-- (TableIV) - 
 
 N mol.wt. ^mol.wt 
 
 50 2 x 50 100 
 N_ = mol. wt. ^ mol. wt. x 5 
 100 2 x 100 1000 
 
 TABLE V 
 
 REDUCTION OF COMPOUNDS FOUND TO CONSTITUENTS 
 SOUGHT BY MULTIPLICATION 
 
 This table is intended to aid in calculations connected with the analysis of 
 mineral substances, where it is so frequently necessary to determine a given 
 substance in a state of combination different from that the proportionate 
 amount of which we wish to know. If, for example, we wish to determine 
 the amount of barium a given substance contains, we should probably pre- 
 cipitate it and weigh it as barium sulphate and from this weight calculate 
 the barium as follows : 
 
 mol. wt. BaS0 4 : at. wt. Ba : : wt. BaSO 4 : wt. Ba. 
 
 at ' Wt - Ba xwt.BaSO < = wt.Ba. 
 mol. wt. BaS0 4 
 
 The constituent sought, in this case barium, is given in the first column of the 
 table, and the state of combination in which it is convenient to determine 
 the substance, barium sulphate, is given in the second column. On the same 
 horizontal line with BaS0 4 a factor is given which is the quotient resulting 
 from the division of the atomic weight of barium by the molecular weight 
 of barium sulphate, so that it is only necessary to add to the logarithm of 
 this factor the logarithm of the actual weight of barium sulphate in order to 
 obtain the logarithm of the required weight of barium. 
 
 From the above it is plain that the factors express the actual weight of 
 substance sought, contained in, or equivalent to one gram of substance found ; 
 that is, the first term of the proportion is reduced to unity, the second term 
 
EXPLANATIONS OF THE PBECEDING TABLES 69 
 
 is expressed by the factor, the third term is the weight of substance found. 
 By multiplying the second and third terms together the product expresses 
 the weight of substance sought. 
 
 (2) In analyzing orthoclase feldspar the potassium and sodium are sepa- 
 rated from the rest of the constituents and weighed together as chlorides. 
 The potassium is then separated from the sodium in the usual manner and 
 weighed as K. 2 PtCl 6 . It is customary to express the results of such analyses 
 in percentages K 2 and Na. 2 0. From the weight of combined chlorides and 
 the weight of K. 2 PtCl 6 the weights of K 2 and Na 2 are calculated as follows : 
 
 mol. wt. K 2 PtCl 6 : chem. equiv. wt. K 2 O : : wt. K 2 PtCl 6 : wt. K 2 O. 
 
 \vt. K 2 PtCl 6 x 0.19383 (factor) = wt. K 2 O. 
 mol. wt. K 2 PtCl 6 : chem. equiv. wt. KC1 (2 KC1) : : wt."K 2 PtC! 6 : wt. KC1. 
 
 wt. K 2 PtCl 6 x 0.30683 (factor) = wt. KC1. 
 
 wt. of combined chlorides wt. KC1 = wt. NaCl. 
 
 chem. equiv. wt. NaCl (2 NaCl) : mol. wt. Na 2 O : : wt. NaCl : wt. Na 2 O. 
 
 wt. NaCl x 0.53028 (factor) = wt. Na 2 O. 
 
 CALCULATION OF INDIRECT ANALYSIS 
 
 Let us suppose that we have a mixture of a chloride and a bromide, and that 
 we wish to determine the chlorine and the bromine. The weight of silver which 
 is equivalent to the combined halogens is determined by the Volhard method. 
 Then the precipitated AgCl and AgBr are collected and weighed together. 
 
 Let x - wt. AgCl, 
 
 and y = wt. AgBr. 
 
 Then x + y = a (wt. of AgCl + AgBr), 
 
 and i- x -\ y = b (wt. Ag equiv. to Cl and Br). 
 
 AST Ag 
 
 As ^ and * are constant quantities, we may represent them by k and 
 
 k' respectively. The equations then become 
 
 x + y - a, 
 kx + k'y = b. 
 
 Multiplying the first equation by k and subtracting the second from it in 
 order to eliminate a*, we have 
 
 kx + ky = ka, 
 kx + k'y = 6, 
 (k -k'}y = ka- 6, 
 
 ka-b 
 
 y = - 77- 
 
 k k 
 
70 EXPLANATIONS OF THE PRECEDING TABLES 
 
 As k k' is a single constant we have y = p By substituting the value 
 thus obtained for y in the first equation we have x = a value of y. 
 
 wt. AgCl x 0.24737 = wt. Cl. 
 wt. AgBr x 0.42555 = wt. Br. 
 
 The values of - and - - are given in Table V under Ag and opposite 
 Agl>r -A-gOi 
 
 AgBr and AgCl respectively. 
 
 TABLES VI-IX 
 
 Normal atmospheric pressure is equal to the pressure exerted at sea level 
 and 45 latitude by a vertical column of pure mercury 760 mm. long, the 
 temperature of which is zero degrees C. 
 
 Barometric readings made under ordinary conditions must be reduced to 
 standard conditions ; that is, corrections must be applied for temperature, 
 latitude, and elevation. 
 
 Temperature corrections. In view of the fact that the cubical expansion of 
 mercury is much greater than that of glass, and the length of the barometer 
 scale also changes with the temperature, it is necessary to consider all of these 
 factors in making the temperature corrections. However, these have been 
 combined and the values are given in Table VI. 
 
 Latitude corrections. Gravity at 45 latitude and sea level is considered 
 normal. The values of this force in other latitudes as compared with the 
 normal, taken as unity, are given in Table VII for a few important places. 
 The length a barometric column of any latitude would have if it were acted 
 upon by normal gravity may be calculated by multiplying the observed 
 reading by that fraction which the force of gravity at the latitude in question 
 is of normal gravity, or the proper correction may be taken from Table VIII, A. 
 
 Elevation corrections. These are necessary, because gravity diminishes as 
 we proceed from the center of gravity of the earth (Table VIII, B). 
 
 Capillary depression corrections. Manufacturers of straight barometers 
 make due allowance, in the adjustment of the scale, for capillary depression 
 of the mercury ; and in U-shaped barometers and manometers the forces on 
 the two surfaces compensate, provided the mercury is of uniform purity and 
 the arms are of the same diameter. However, there are other purposes for 
 which the values of the capillary depression of mercury may be needed, and 
 they are given in Table IX. 
 
EXPLANATIONS OF THE PRECEDING TABLES 71 
 
 TABLES XII AND XIII 
 
 REDUCTION OF GAS VOLUMES TO NORMAL CONDITIONS OF 
 PRESSURE AND TEMPERATURE 
 
 Boyle's Law. The volume of a given mass of any gas varies inversely as the 
 pressure upon it, provided the temperature remains constant. 
 
 If v represents the volume of a given mass of gas at 760 mm. pressure, 
 and v l any other volume of the same mass at the pressure h, then 760 v = hv^ 
 
 In order to calculate the volume any given amount of gas would have if it 
 existed under normal pressure, we have only to add to the logarithm of the 
 
 observed volume the logarithm of the value of = ' taken from Table XII. 
 
 The sum will be the logarithm of the required volume. 
 
 Moist gases are assisted in sustaining the pressure of the atmosphere by 
 the partial pressure of water vapor. Therefore, in order to find the pressure 
 which the gas itself is actually exerting (which is equal to the pressure under 
 which it exists in equilibrium), we must subtract from the pressure of the 
 atmosphere the aqueous tension. 
 
 If the volume of a gas cannot be measured under exactly atmospheric 
 pressure, it is frequently convenient to determine its pressure by measuring 
 the difference between it and that of the atmosphere by means of an open 
 arm manometer. The pressure of the atmosphere is then altered by the 
 amount of this difference in order to ascertain the pressure under which the 
 gas exists. The pressure which the gas alone exerts is represented by h of 
 Table XII. 
 
 Charles's Law. The volume of any gas increases by -^fa part of its vol- 
 ume at C. for every degree its temperature increases. 
 
 If V t is the volume of a gas at the temperature t, we have 
 
 Vt = V + F x 0.00367* = F (l + 0.00367*); then F - 
 
 The values of - are given in Table XIII for temperatures 
 
 1 -f- U.UUoo* t 
 
 ranging from to 149. 
 
 To calculate the volume a given amount of gas would have if its tempera- 
 ture were reduced to zero, we have to add to the logarithm of the observed 
 
72 EXPLANATIONS OF THE PRECEDING TABLES 
 
 volume the logarithm of the value of Q0367 ( Table xni )> The sum 
 
 will be the logarithm of the required volume. 
 
 We may combine the expressions given above if we wish, as is usually the 
 case, to reduce the volume to standard conditions of both pressure and tem- 
 perature, thus 
 
 FOP, reomm. = 4 x 1 + 0.00367 < X r '' *""" 
 
 These reductions may be summed up as follows: Correct the barometric 
 reading for temperature, latitude, and elevation. Subtract from the corrected 
 reading the tension of aqueous vapor, and apply the manometer correction, 
 if there be one. The result is the value represented by h. Add to the loga- 
 rithm of the observed volume, the logarithm of (Table XII) and of 
 
 j i \)\) 
 
 T A AAQgrr ^ (Table XIII). The sum will be the logarithm of the required 
 J. -f- U.UUobi t 
 
 volume. 
 
 TABLE XIV 
 
 This table is intended to minimize the labor of reducing the volume of 
 moist gases to normal conditions and dry. It is assumed that the temperature 
 of the barometer and of the gas and water over which the gas is measured is 
 the same. Under this condition the barometric reading is corrected for tem- 
 perature, the tension of aqueous vapor subtracted, and the resulting value of 
 
 combined with AAQ/T- ^ or certain combinations of temperature 
 
 4 oU 1 -j- U.UUoo^ t 
 
 and pressure. 
 
 Take from the table the logarithm corresponding to the temperature and 
 approximate pressure. Interpolate to find the logarithm corresponding to the 
 exact pressure, and add to it the logarithm of the observed volume of the 
 gas. The sum will be the logarithm of the volume under normal conditions 
 and dry. 
 
 TABLE XV 
 
 If one wishes to know the weight of an observed volume of gas, as in the 
 analysis of nitrogenous organic substances by the Dumas method, the volume 
 should be reduced to standard conditions, and then to the logarithm of this 
 volume add the logarithm of the weight of one liter of the gas, taking care 
 to express the volume read off as a fraction of a liter. 
 
EXPLANATIONS OF THE PRECEDING TABLES 73 
 
 TABLE XXVIII 
 BUOYANCY OF AIR 
 
 In view of the fact that the buoyant effect of the atmosphere changes 
 considerably and often rapidly, it is necessary in work where great accuracy is 
 required to reduce the apparent weight of a substance to a vacuum standard. 
 
 If d is the weight of 1 cc. of air and v the volume of the object weighed, 
 the true weight is w -\- vd, where w is the apparent weight. 
 
 If the specific gravity of the substance is known, its volume is calculated 
 by dividing its weight by the specific gravity. The error introduced by us- 
 
 ing the apparent weight instead of the true weight in the expression v = - 
 
 w s 
 
 is negligible. Therefore the true weight of a substance is w -\ d. 
 
 S 
 
 If we wish to obtain absolute weighings, the same kind of correction must 
 be applied to the weights. For brass weights (s = 8.3) the correction is 
 0.000145 per gram. This correction is negative and is to be subtracted from 
 the calculated true weight of the substance. 
 
 The true, absolute weight, then, of a substance weighed in air with brass 
 
 weights is W Q = iv ( 1 + " - 0.000145 J . 
 
 The values of d (Table XVI) are calculated for 760 mm. pressure. In work 
 where the greatest accuracy possible is required, the value of d must be 
 
 reduced to the existing condition of pressure ; namely, d x ^TT- 
 
 In many instances, however, it is sufficiently accurate to consider d constant 
 and equal to 0.0012 g. at room temperature. Under this condition the above 
 expression becomes 
 
 = w (l + ^j _ 0.000145^ = w (1 + c). (See Table XXVIII.) 
 
 THE COMMON SYSTEM OF LOGARITHMS 
 
 This system of logarithms is in general use because it greatly abridges numer- 
 ical computation, and with due care arithmetical errors are largely eliminated. 
 
 The logarithm of a number is the exponent of the power to which it is 
 necessary to raise a fixed number, in order to produce the first number.* 
 
 * The definition is based upon the assumption that there always exists a real number x which 
 satisfies the equation b x = a, where a and b are positive numbers and b is greater than 1. 
 
74 COMMON LOGARITHM S 
 
 The base of the common system is 10, and since 
 
 10 = 1 10-! = 0.1 
 
 10 1 = 10 10- 2 = 0.01 
 
 10 2 = 100 10- 3 = 0.001 
 
 10 3 = 1000 10-4 = 0.0001 
 
 it follows from the definition of a logarithm that 
 
 log 1 = log 0.1 = - 1 
 
 log 10 = 1 log 0.01 = - 2 
 
 log 100 = 2 log 0.001 = - 3 
 
 log 1000 = 3 log 0.0001 = 4 
 
 It is quite evident from the above table that the logarithms of all numbers 
 between and 1 are negative and that the logarithms of all numbers greater 
 than 1 are positive. 
 
 NOTE. A negative number is considered as having no logarithm. 
 
 We see also that the logarithm of any number between 1 and 10 is greater 
 than and less than 1 ; thus 
 
 log 2. 71 = 0.432969. 
 
 The logarithm of any number greater than 10 and less than 100 is greater 
 than 1 and less than 2 ; thus 
 
 log 26. = 1.414973. 
 
 It is plain that if a number is not an exact power of 10, its logarithm 
 must consist at least in part of a decimal fraction. 
 
 It is true that such logarithms can be expressed only approximately, but if 
 the fractions are given to six places, they are sufficiently accurate for even 
 the best atomic weight work. 
 
 The integral part of a logarithm is called the characteristic, and the deci- 
 mal part the mantissa. In the case just given 1 is the characteristic and 
 .414973 the mantissa of the log 26. 
 
 To find the characteristic of the logarithm of a number : 
 
 (a) When the number is greater than unity, the characteristic of its log- 
 arithm is one less than the number of digits to the left of the decimal point. 
 Thus the characteristic of the logarithm of 46783.85 is 4. 
 
 (b) When the number is less than unity, subtract from 9 the number of 
 ciphers between the decimal point and the first significant figure, writing 
 10 after the mantissa. Thus the characteristic of the logarithm of 0.00089 
 is 6 with - 10 written after the mantissa : log 0.00089 = 6.949390 - 10. 
 
COMMON LOGAKITHMS 75 
 
 Some prefer to combine the two parts of such characteristics, writing the 
 result as a negative characteristic, in which case it is one greater than the 
 number of zeros preceding the first significant figure. The minus sign is 
 written above the characteristic to show it applies only to it, for in construct- 
 ing logarithmic tables it is convenient to make all mantissas positive even if 
 the logarithm is a negative number. For example, log 1 = 0.602060 ; but 
 since - .602060 = 1. + .397940, this may be written log = 1.397940 or 
 9.397940 10 with a positive mantissa. In order to avoid complications it 
 is best to adhere to the first form of expression mentioned under (b) ; that is, 
 when a logarithm has a negative characteristic to add 10 to and subtract 10 
 from it. For example, instead of writing the logarithm 1. + .397940, or 
 1.397940, we should write + 10 - 1. + .397940 - 10 = 9.397940 - 10. This 
 is convenient when we wish to divide a logarithm by a number. Since man- 
 tissas are always positive, it would not be correct to divide 1.397940 by 2, as 
 we should confuse the positive and negative parts. If the form 9.397940 10 
 is used, the confusion is avoided, and the result of the division by 2 is 
 4.698970 5 = 1.698970, the actual logarithm resulting from the division. 
 
 TABLE OF LOGARITHMS 
 
 The great value of the common system of logarithms for the purposes of 
 the analytical chemist is due to the fact that short tables can be constructed 
 which contain the mantissas of the logarithms of all numbers from 1 or 100 
 to some given number, generally 1000 or 10,000, this being sufficient to cover 
 all cases, and the characteristics can be determined by inspection. 
 
 In order to use a table of logarithms one must know how to find the loga- 
 rithm of any number, and how to take from the table the number which has 
 a given logarithm, and also how to point the numbers off. 
 
 To find from the table the logarithm of any number : 
 
 (a) When the number consists of two significant figures. 
 
 All of these numbers are given on the first page of the table in columns 
 marked N. The logarithm of each number is placed opposite the number. 
 
 (b) When the number consists of three or four significant figures. 
 
 Find in the column of numbers the first three significant figures of the 
 given number, then glance across the page along a horizontal line to the col- 
 umn under the fourth figure of the given number ; four figures of the required 
 mantissa are given at this point, to which two figures taken from the zero 
 column must be prefixed. If the four figures of the required mantissa are 
 
T6 COMMON LOGARITHMS 
 
 opposite a row of six figures in the zero column, the first two of the six are 
 to be prefixed ; but if they are opposite only four figures in the zero column, 
 the two figures to be prefixed will be found above, unless in passing back to 
 the zero column asterisks be met with, in which case the two figures will be 
 found immediately below the horizontal line in the zero column. Zeros 
 should be written wherever asterisks occur. Characteristics are then prefixed 
 in accordance with the rules already given. 
 
 Examples : log 106 = 2.025306 
 log 1264 = 3.101747 
 log 2041 = 3.309843 
 log 2042 = 3.310056 
 log 2048 = 3.311330 
 
 (c) When the number consists of more than four significant figures. 
 
 The mantissas of the logarithms of these numbers are not to be found in 
 the table, but they can be easily calcuMted from values given in the table 
 by a process of interpolation. The principle of proportional parts assumes 
 that for a small change in a number there corresponds a proportional change 
 in the logarithm. This is not strictly true, but the approximation is suffi- 
 ciently close for most purposes. 
 
 For example, required the log 521257. We find from the table log 5212 = 
 3.717004 and log 5213 = 3.717088. That is, an increase of one unit in the 
 fourth figure produces an increase of .000084 in the logarithm. Therefore 
 an increase of .57 of this unit will produce an increase in the logarithm 
 equal to .57 x .000084, or .000048. Hence log 521257 = 5.717052. 
 
 NOTE. In order to facilitate the process of interpolation it is customary to give the 
 differences between the logarithms of consecutive numbers of four figures in a separate 
 column. Such numbers are called tabular differences. In the table one number is given at 
 the end of each horizontal line, and in each case it is nearly a mean of the differences 
 of any two logarithms on the same line. It is intended that these numbers should 
 serve only as a guide, and the last figure should be checked in every instance by glancing 
 at the logarithms involved. 
 
 The following rule is derived from the above : Place a decimal point after 
 the fourth significant figure from the left, converting the given number into 
 a whole number and a fraction, and this irrespective of any decimal point 
 that may occur in the given number.* Find from the table the mantissa 
 
 * Numbers with the same sequence of figures and which differ only in the position of the 
 decimal point have the same mantissa, for one is the product of the other and an integral power 
 of 10 ; hence their logarithms differ only by integers. Therefore the mantissa of the common 
 logarithm of a number is independent of the decimal point. 
 
COMMOX LOGARITHMS 11 
 
 of the entire part and multiply the decimal part by the tabular difference ; 
 add the product thus obtained to the mantissa of the entire part and prefix 
 the proper characteristic, determined with respect to the position of decimal 
 point in the original number. 
 
 To find from the table the number which corresponds to a given logarithm : 
 
 (a) Required the number the logarithm of which is 1.874772. We find this 
 exact mantissa given in the table, and opposite in the column of numbers we 
 find 749, the first three figures of the required number, and at the head of 
 the column 5 the fourth figure. 
 
 (&) Required the number the logarithm of which is 2.137860. The man- 
 tissa of this logarithm is not given in the table, but it lies between the two 
 mantissas .137671 and .137987, and the numbers corresponding to these are 
 1373 and 1374 respectively. The difference between the two mantissas 
 taken from the table is 316, and the difference between the given mantissa 
 and the smaller of the two taken from the table is 189 ; that is, an increase 
 of 316 in the mantissa produces an increase of one unit in the corresponding 
 number. Therefore an increase of 189 in the smaller of the two mantissas 
 taken from the table will produce an increase of ^ff of a unit in the cor- 
 responding number. Hence the required number is 137.359 nearly. 
 
 The following rule is derived from the above : 
 
 Search in the table for the mantissa of the given logarithm, and if it cannot 
 be found, set aside the number corresponding to the next less mantissa. Sub- 
 tract this mantissa from that of the given logarithm and divide the remainder 
 by the tabular difference, carrying the division as far as desirable. Annex the 
 quotient to the number set aside, and point off from the left one more integer 
 figure than there are units in the characteristic of the given logarithm. If 
 the characteristic is negative, the number is less than 1, and the number of 
 zeros to be placed before the first figure is one less than the number of units 
 in the characteristic. 
 
 MULTIPLICATION BY LOGARITHMS 
 
 Find from the table the logarithms of all the numbers to be multiplied 
 together. Add these algebraically, remembering that negative signs apply 
 only to the characteristic. The sum is the logarithm of the product. 
 
 Thus multiply 27.1 by 119.86. 
 
 log 27.1 = 1.432969 
 log 119.86 = 2.078674 
 
 3.511643 = log of product 
 
 The number of which this is the logarithm is 3248.201. 
 
78 EXPLANATIONS OF THE PEECEDING TABLES 
 
 DIVISION BY LOGARITHMS 
 
 Find the logarithm of the dividend and subtract from it the logarithm of the 
 divisor. The difference is the logarithm of the quotient. The word " differ- 
 ence " is used here in its algebraic sense. That is, if the characteristic of the 
 logarithm of the divisor is negative, its sign must be changed ; but if that of 
 the dividend is negative, it must be treated as a negative quantity. Let it be 
 said once more that mantissas without exception are positive. 
 
 1. To divide 100.07 by 56.07. 
 
 log 100.07 = 2.000304 
 log 56.07 = 1.748731 
 
 0.251573 = log of quotient 
 
 The number of which this is the logarithm is 1.78473. 
 
 2. To divide 107.87 by 0.0187779. 
 
 log 107.87 = 2.032901 
 log 0.0187779 = 2.273647 
 
 3.759254 = log of quotient 
 
 The number of which this is the logarithm is 5744.5. 
 
 3. To divide 0.13736 by 153.36. 
 
 log 0.13736 = 1.137860 
 log 153.36 = 2.185712 
 
 4.952148 = log of quotient 
 
 The number of which this is the logarithm is .00089568. 
 
 In regard to involution and evolution it is only necessary to say that the 
 logarithm of any power of a number is obtained by multiplying the loga- 
 rithm of the number by the exponent of the power, and that the logarithm 
 of any root of a number is obtained by dividing the logarithm of the number 
 by the index of the root. 
 
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