A MAGYAR MITTEILUNGEN TUDOMANYOS AKADEMIA DER CSILLAGVIZSGALO STERNWARTE INTEZETENEK DER UNGARISCHEN AKADEMIE KOZLEMENYEI DER WISSENSCHAFTEN BUDAPEST - SZABADSAGHEGY Nr. 58 B. SZEIDL THE RR LYRAE STARS IN MESSIER 3 BUDAPEST, 1965 THE RR LYRAE STARS IN MESSIER 3 by B. SZEIDL INTRODUCTION AND SUMMARY In 1937 Dr. Detre has started a study of the period-changes of variables in globular clusters. In course of this programme several hundred plates have been taken of the clusters M3, M5, M15, M56 and M92 with the 24-inch Newtonian telescope of the Konkoly Observatory by Dr. Julia Balazs, Dr. Detre, Dr. Kulin, M. Lovas, Dr. Ozsvath and the writer. This work is a survey of all the measurable RR Lyrae stars in the globular cluster M3. A number of investigations have been already published dealing with the secular period changes of RR Lyrae stars in different clusters (M3: Martin 1942, Belserene 1952; M4: Wilkens 1964; M5: Oosterhoff 1941; M15: Izsak 1956, Mannino 1956, Grubissich 1956, Nobili 1957, Notni and Oleak 1958, Bronkalla 1960, Fritze 1962; M53: Wachmann 1964; omega Cen: Martin 1938, Belserene 1964 and in the general field: Detre 1955). The authors have generally treated the variables as if their periods vary linearly with time. It was a great help for me that a considerable part of the plate material obtained for M3 at Budapest up to the year 1956 has been already discussed by Dr. Ozsvath. He has constructed mean light curves and O-C diagrams for about 60 variables. On the Colloqium on Variable stars held in summer 1956 at Budapest he has given a condensed account of his results (Ozsvath, 1957). In the years 1958-1963 the author has taken further plates, measured them and rediscussed the whole material consisting of 214 plates obtained at Budapest and 17 plates supplied by the Hamburg Observatory (Table 1). On the majority of the plates 117 RR Lyrae stars were measurable (Table 8). The standard errors of the measurements are given in Table 2. Normal points have been formed for constructing the light curves for 111 variables (Table 7, Figures 15-27). Table 3 contains the data for 113 variables. The crowding effect distorting the photometric measures inside 2.5' of the centre has been fully considered (Fig. 1). O-C diagrams could be constructed for 112 variables (Figures 28-64) using the whole material available, beginning with Bailey's observations. With the exception of 7 variables all the others show period changes. A quadratic form suggesting a period change according to the simple relation: P - P_0 + beta t, fits the O-C diagrams for 47 variables, indicating period lengthening in 22, period shortening in 25 cases. For the mean value of the coefficient in the quadratic term of the O-C values I get 10^10 mean(beta)=-0.63+-1.05. The dependence of beta on the period is shown in Figure 4, their frequency-distribution in Figure 3 compared with that of the variables in M5 and in omega Centauri. It is a general rule that variables having complicated O-C diagrams exhibit strong light curve changes. The O-C diagrams of RRc stars and irregular RRab stars consist of cycles of different length and amplitude (Fig. 5 and 6). In the period-amplitude relation for regular stars lying more than 2.5' outside of the centre (Fig. 7) the separation of the RRab stars into a short-and long-period sequence (Belserene 1954) is clearly shown. The same separation is apparent for different parameters of the light curve (Fig. 8: m^max versus period; Fig. 9: mean(B-V) versus period; Fig. 10: epsilon = M-m versus period). RRab stars of the long period sequence show the same characteristics as stars of the short period sequence having periods shorter by 0.1d. Of the 112 variables investigated so far, 36 (32%) show well pronounced light curve changes. The frequency distribution of the periods for these irregular stars is given in Table 5 and represented also in Fig. 13. They have the highest relative abundance in the period interval 0.47d-0.56d. In the period-amplitude relation their greatest amplitudes fit the relation valid for regular RR Lyrae stars (Fig. 12). This has been already noted by Preston (1964, p. 43) who writes: "Curiously the period versus amplitude relation for simply periodic variables appears to be the upper envelope of the amplitude variations for multiply periodic variables. This suggests that multiple periodicity is associated with a mechanism that acts to suppress the normal pulsation properties of the variables." Their characteristics show no correlation with distance from the centre. The RRab stars in omega Cen and M5 exhibit the same separation into two sequences like in M3 (Belserene 1954). In these three clusters a strong correlation seems to hold between the number of stars on the long period RRab-sequence and on the RRc-sequence respectively (see Table 6). The two branches of RRab stars occupy the same place in the period-amplitude relation for all the three clusters, the short-period branch being considerably steeper. The beta values are quite different on the two branches (Table 7). In M3, M5 and omega Cen we have 48 easily measurable variables on the short-period sequence having parabolic O-C diagrams with 10^10 mean(beta) = +0.01 +- 1.10 and 36 variables on the long-period sequence, with 10^10 mean(beta) = +4.78 +- 1.98. The long-period sequence shows a strong tendency for period lengthening. The amplitude versus period relation for field RR Lyrae stars with different spectral index, Delta S (Preston 1959), suggests (Fig. 7) that the long-period RRab sequence in globular clusters contains RR Lyrae stars of low metal content, while stars of the short-period sequence have a higher metal/H value. The two distinct RRab-groups are probably the continuations of the two sequences of red stars on the horizontal branch in the HRD (Arp, 1955). They may represent stars advancing in opposite directions along the horizontal branch in course of their evolution (Woolf 1964). The author is indebted to Dr. L. Detre, Director of the Konkoly Observatory, for suggesting the investigation and for many valuable discussions; to Dr. I. Ozsvath, for handing over his material and for sending the plates taken by him at the Hamburg Observatory; to Dr. Julia Balazs-Detre for following with attention this work and for many helpful remarks; to Mrs. K. Barlai and M. Lovas for aid in preparing the manuscript. MATERIAL M3 (NGC 5272) is the globular cluster richest in variables. Its equatorial and galactic coordinates are: alpha = 13h 39.9m l^II = 42deg (1950) delta =+28deg 38' b^II =+79deg The first systematic investigation of the variables in the cluster was made by S. I. Bailey (B; 1913), and most of the variables were discovered by him. Between 1895 and 1900 (J. D. 2413664-14842) the plates were taken partly at Arequipa with the 24" Bruce Telescope using exposures of 30 to 75 minutes partly with the 13" Boyden refractor (J. D. 2413372-14807; exposures 70 to 183 minutes) and the 36" Crossley Reflector at Mt. Hamilton (J. D. 2415160-15161; exposures 10 minutes with one exception of 60 minutes). The Lick plates are of the best quality. The plates of long exposure provide only inaccurate epochs. Bailey gives the brightness data for 132 variables from 90 plates. In 1912 and 1915 (J. D. 2419479-19534 and J. D. 2420625-20656) 36 plates were taken with the 60" telescope of Mt. Wilson Observatory with exposures 2 to 20 minutes. For 11 pairs of the plates the mean value was considered. In this way the exposure time may amount to 40 minutes. The time interval between two exposures may be also considerable. Finally J. H. Hett (H) gives brightness values for 48 variables at 25 moments (1942). In 1920 (J. D. 2422455) one and in 1921 (J. D. 2422729-22840) 135 plates were taken with the 1 meter telescope of the Hamburg-Bergedorf Observatory. The exposure times were 20 and 10-13 minutes respectively. J. Larink (L) measured not more than 129 variables per plate (1922). 1 + 91 plates were taken in 1924 (J. D. 2423858) and in 1925 (J. D. 2424283-24317) respectively, with the 1.22 m reflector of the Babelsberg Observatory, 16 plates with one hour and the others with 15 minutes exposure time. Th. Muller (M) published observations for 159 variables (1933). In 1926 (J. D. 2424564-24642) J. Schilt took a series of 97 plates with 8 minutes exposure time utilizing the 60" Mt. Wilson reflector for a study of RV CVn. P. Slavenas (S) could measure only 47 variables because the cluster was on the edge of the plates (1929). In the same year (J. D. 2424647-24684) further 75 plates were taken with the 60" Mt. Wilson reflector by J. L. Greenstein (G) with the same exposure time. He published magnitudes for 117 variables using these plates (1935). In 1938 (J. D. 2428964-28983) 4 pairs of plates were taken with the 61" reflector of the Oak Ridge Station with 8-10 minutes exposure time. M. Schwarzschild (Sch) has taken the mean values of magnitudes for these pairs of plates (1940). In 1939 (J. D. 2429367-29431) 44 plates with 9-15 minutes exposure length were taken at the Perkins Observatory with the telescope diaphragmed to 60". J. H. Hett published observations for 48 variables (1942). In 1940 (J. D. 2429670-29834) 106 double photographs of 30-40 minutes exposure time were obtained with the Rockefeller double astrograph at Johannesbourg. W. Chr. Martin (Ma) measured the magnitudes for 132 variables but published epochs only for 121 of them (1942). In the years 1946 (J. D. 2431965-31995) and 1948 (J. D. 2432682-32700) 28 and 10 photographs were taken, respectively, with the 60" Mt. Wilson reflector. The exposure time was 5-7 minutes. E. P. Belserene published magnitudes for 52 easily measurable variable stars (1952). In 1953 (J. D. 2434447-34508) 25 plates were taken with the 100" Mt. Wilson reflector diaphragmed to 58". The exposure time was 15 minutes in the average. M. Roberts and A. Sandage (RS) published magnitudes for 78 variables (1955). Between 1949 and 1960, 177 plates were obtained with the 40/40 cm Schmidt-telescope at Burakan (J. D. 2435577-35615) and with the 40 cm GAIS astrograph (J. D. 2433034-37130), respectively. On these plates a great number of variables were estimated. B. V. Kukarkin and N. P. Kukarkina (K) published their observations on 3 variables, (1961 b). In Budapest (Bp) 214 plates were taken from 1938 till 1962 (J. D. 2428963-37791) using the 24" reflector of the Konkoly Observatory (f = 3600 mm, 1 mm equals 57,"3 on the plates). Kodak Eastman 40, Agfa Astro Spezial and Kodak 103 aO plates were used with exposures 10 to 17 minutes. In 1957 (J. D. 2435920; 35933) 17 further photographs were obtained by I. Ozsvath in Hamburg on Kodak OaO plates with 12-16 minutes exposure time. Generally 117 variables of RR Lyrae type were measurable on the majority of these 231 plates. The limiting magnitude of the plates is about 17.0m. A detailed enumeration of the plates obtained in Budapest and in Hamburg is given in Table 1. Plates of high quality are marked by the number 5; those of mediocre quality by 3, plates of inferior quality by 1. Generally the observational material covers the time interval of observations rather evenly, however, it is rather incomplete in the case of several variables exhibiting strong variations in their light curve and in their period. Unfortunately even these interesting variables deserving the greatest attention have been often neglected by several authors. It would be of great value to measure all the variables on all the plates available. Since 1950 the observational material can be considered as continuous. Table 1 LIST OF PLATES J.D. Exp.time Quality Plate 2400000+ in minutes Kind of plate of Observer plate R 1681 28 963.487 15 Guilleminot Superfulgur 5 Kulin R 1717 28 991.403 15 " 4 " R 1718 .416 15 " 4 " R 1719 .430 15 " 5 " R 1723 .522 15 " 5 " R 1724 .542 15 " 5 " R 2133 29 346.376 15 " 3 " R 2134 .392 15 " 3 " R 2368 29 719.549 12 " 4 " R 2369 .560 12 " 3 " R 2376 29 720.546 12 " 4 " R 2377 .558 12 " 4 " R 2413 29 774.405 12 " 3 " R 2414 .417 12 " 2 " R 2416 29 775.403 12 " 4 " R 2417 .415 12 " 4 " R 2418 .426 12 " 2 " R 2419 .437 12 " 3 " R 2420 .447 12 " 2 " R 2612 30 052.462 12 " 3 " R 2613 .474 12 " 3 " R 2614 .489 12 " 3 " R 2615 .501 12 " 3 " R 2622 30 078.418 12 " 4 " R 2623 .434 12 " 4 " R 2624 .470 12 " 4 " R 2625 .483 12 " 4 " R 2626 .498 12 " 4 " R 2627 .509 12 " 3 " R 2628 .521 12 " 4 " R 2629 .536 12 " 3 " R 2630 .548 12 " 4 " R 3163 33 390.497 10 Eastman 40 3 Balazs, Detre R 3164 .534 10 " 4 " R 3165 .545 10 " 4 " R 3166 .558 10 " 3 " R 3167 .570 10 " 3 " R 3168 .586 11 " 4 " R 3173 33 420.424 10 " 4 " R 3174 .438 10 " 4 " R 3175 .450 10 " 4 " R 3176 .476 10 " 4 " R 3177 .487 10 " 4 " R 3178 .498 10 " 4 " R 3179 .510 11 " 3 " R 3180 .523 13 " 2 " R 3181 33 421.385 10 " 4 " R 3182 .442 10 " 4 " R 3183 .454 10 " 3 " R 3184 .465 10 " 3 " R 3185 .475 10 " 2 " R 3186 .486 10 " 3 " R 3187 .497 10 " 3 " R 3188 33 421.535 10 Eastman 40 2 Balazs, Detre R 3189 .548 10 " 3 " R 3190 33 422.398 10 " 4 " R 3191 .431 10 " 4 " R 3192 .442 10 " 4 " R 3193 .452 11.5 " 5 " R 3194 .462 10 " 4 " R 3195 .472 10 " 5 " R 3196 .483 10 " 5 " R 3197 .493 10 " 5 " R 3198 .508 10 " 5 " R 3199 .520 10 " 4 " R 3218 33 763.406 10 Guilleminot Superfulgur 5 Detre R 3219 .420 10.5 " 4 " R 3220 .442 10 " 5 " R 3221 .455 10 " 4 " R 3222 .464 10 " 5 " R 3223 .483 10 " 5 " R 3224 .494 10 " 5 " R 3225 .504 10 " 5 " R 3226 .514 10 " 5 " R 3227 .525 10 " 4 " R 3479 34 118.355 15 " 1 Lovas R 3480 .372 15 " 1 " R 3481 .388 15 Agfa Astro Spezial 2 " R 3482 .428 15 Guilleminot Superfulgur 3 " R 3483 .443 15 " 4 " R 3484 .470 17 " 3 " R 3485 .485 15 " 4 " R 3486 .499 15 " 4 " R 3487 .513 15 " 4 " R 3488 .526 15 " 2 " R 3489 .540 16 " 3 " R 3496 34 120.471 15 " 2 " R 3497 .484 15 " 3 " R 3498 .497 15 " 3 " R 3499 .510 14 " 3 " R 3500 .523 15 " 3 " R 3501 .536 15 " 3 " R 3502 .551 15 " 4 " R 3503 .564 15 " 4 " R 3504 .579 15 " 3 " R 3511 34 121.401 10 " 2 " R 3512 .412 10 " 2 " R 3513 .422 10 " 3 " R 3514 .431 10 " 2 " R 3515 .441 10 " 3 " R 3516 .494 12 " 4 " R 3517 .495 12 " 4 " R 3518 .505 12 " 4 " R 3519 .517 13 " 3 " R 3520 .528 12 " 4 " R 3521 .539 12 " 4 " R 3522 .552 12 " 4 " R 3523 .562 12 " 2 " R 3526 34 121.594 12 Guilleminot Superfulgur 3 Lovas R 3527 .605 12 " 1 " R 3535 34 122.404 12 " 2 " R 3536 .416 12 " 3 " R 3537 .431 13 " 3 " R 3565 34 126.433 13 " 4 " R 3589 34 131.415 12 " 2 " R 3828 34 487.347 12 " 2 " R 3829 .367 12 " 3 " R 3830 .385 12 " 3 " R 3831 .397 12 " 2 " R 3832 .410 12 " 3 " R 3833 .428 12 " 3 " R 3834 .438 12 " 4 " R 3835 .449 12 " 3 " R 3836 .460 12 " 3 " R 3837 .474 12 " 3 " R 3838 .483 12 " 3 " R 3839 .494 12 " 3 " R 3840 .508 12 " 2 " R 3841 .518 12 " 3 " R 3850 34 488.530 12 " 3 " R 3851 .540 12 " 4 " R 3927 34 567.388 15 " 4 " R 4287 35 223.415 15 " 4 Ozsvath R 4288 .428 15 " 3 " R 4289 .441 15 " 4 " R 4291 .467 15 " 4 " R 4292 .490 15 " 3 " R 4293 .503 15 " 3 Lovas R 4294 .517 15 " 4 " R 4296 .530 15 " 3 Ozsvath R 4297 .546 15 " 3 " R 4299 .573 15 " 4 " R 4301 35 224.454 15 " 4 " R 4302 .472 15 " 4 Lovas R 4303 .485 15 " 4 Ozsvath R 4304 .499 15 " 3 Lovas R 4305 .512 15 " 4 Ozsvath R 4306 .524 15 " 3 " R 4307 .542 15 " 3 Lovas R 4309 .556 15 " 3 Ozsvath R 4309 .569 15 " 3 Lovas R 4310 .583 15 " 3 Ozsvath R 4311 35 227.534 15 " 3 Lovas R 4312 .547 15 " 2 " R 4313 .560 15 " 3 " R 4314 .573 15 " 3 " R 4315 .586 15 " 3 " R 4492 35 598.507 15 " 4 " R 4493 .524 15 " 4 " R 4494 .537 15 " 3 " R 4505 35 600.363 15 " 3 " R 4506 .378 15 " 3 " R 4507 .391 15 " 3 " R 4508 .405 15 " 3 " R 4509 35 600.421 15 Guilleminot Superfulgur 3 Lovas R 4510 .434 15 " 3 " R 4511 .446 15 " 3 " R 4513 .501 15 " 2 " R 4515 .525 15 " 3 " R 4519 35 603.369 15 " 3 " R 4520 .381 15 " 4 " R 4521 .397 15 " 3 " R 4522 .408 15 " 3 " R 4523 .419 15 " 3 Ozsvath R 4524 .431 15 " 3 Lovas R 4525 .446 15 " 4 " R 4526 .457 15 " 3 " R 4527 .468 15 " 4 " R 4529 .491 16 " 3 " R 4530 .507 16 " 3 " DR 1571 35 920.444 15 Kodak OaO 4 Ozsvath DR 1572 .467 15.5 " 3 " DR 1573 .487 16 " 3 " DR 1574 .504 15 " 4 " DR 1575 .547 15 " 4 " DR 1576 .562 14.5 " 4 " DR 1577 .585 15 " 4 " DR 1578 35 933.415 12 " 4 " DR 1579 .443 12 " 3 " DR 1582 .479 12 " 4 " DR 1583 .503 12 " 2 " DR 1584 .515 12 " 2 " DR 1585 .530 12 " 2 " DR 1586 .543 12 " 1 " DR 1587 .573 12 " 1 " DR 1588 .588 12 " 1 " DR 1589 .602 12 " 1 " R 4683 36 991.457 15 Agfa Astro Spezial 1 Lovas R 4684 .470 15 Guilleminot Superfulgur 2 " R 4685 .485 14 Agfa Astro Spezial 2 " R 4686 37 018.470 15 " 2 " R 4687 .483 15 " 2 " R 4688 .496 15 " 2 " R 4689 .510 16 " 3 " R 4690 .523 16 " 3 " R 4691 .537 15 " 2 " R 4692 .550 15 " 2 " R 4693 .563 15 " 1 " R 4694 .577 15 " 2 " R 4695 .609 15 " 3 " R 4696 .623 15 " 2 " R 4697 .637 15 " 1 " R 4701 37 057.539 15 " 4 " R 4702 .552 15 " 3 " R 4703 .578 15 " 3 " R 4704 37 058.529 15 " 4 " R 4706 .580 15 " 2 " R 4796 37 757.598 15 " 1 Szeidl R 4798 37 791.365 14 Kodak 103aO 4 " R 4799 .380 14 " 4 " R 4800 37 791.394 14 Kodak 103aO 4 Szeidl R 4801 .424 14 " 3 " R 4802 .439 15 " 5 " R 4803 .454 14 " 3 " R 4804 .469 15 " 5 " R 4805 .483 14 " 4 " R 4806 .497 14 " 5 " R 4807 .519 14 " 5 " R 4808 .533 14 " 4 " R 4809 .549 14 " 5 " R 4810 .563 14 " 5 " THE MEASUREMENTS OF THE VARIABLES 32 stars, covering an interval of nearly 3 magnitudes (14.00-17.05), were selected as comparison stars from Sandage's primary photoelectric and secondary photographic sequence (1953). They are situated at distances of 3' to 13' from the centre of the cluster, where photographic background and crowding effects may be considered as insignificant. Generally it was possible to measure 117 variables of the RR Lyrae-type using the Rosenberg microphotometer of the Konkoly Observatory. The plates obtained in 1960 were measured with the Becker iris-photometer of the observatory. The errors of measurements near the centre of the cluster were considerably higher for the latter plates. Evidently a constant diaphragm is more suitable for measurements in case of great photographic density. About 60% of the plates were measured by Dr. Ozsvath. The resulting magnitudes are given in Table 9. The mean error of the measures varies strongly with the quality of the plates and with the brightness of the stars. The data in Table 2 were determined from 15 plates, selected randomly from plates of different quality. The average error of one magnitude determination is +-0.095m. Table 2. MEAN ERROR OF ONE MEASUREMENT magnitude \ Quality of plates 5 4 3 2 1 14.5m-15.5m +-0.06 +-0.07 +-0.08 +-0.09 +-0.12 15.5m-16.5m +-0.07 +-0.10 +-0.12 +-0.13 +-0.15 DETERMINATION OF EPOCHS Using the periods given in Sawyer's catalogue (1955) provisional phases were computed for every observation. The light curves were constructed for every year separately, and from these averages O-C values were obtained, which served for improving the periods. With the new period a new O-C diagram was constructed and that was used to plot the whole Budapest material according to phase. The mean light curves obtained in this way enabled the determination of accurate epochs even from a section of the descending branch. The observations were divided into groups according to phase. For RRc and long period RRab stars the period was divided into 20 equal intervals, whereas for RRab stars of period about 0.5d with steep rise the intervals were shorter on the ascending branch and around the maximum. For each group the average phase and magnitude have been calculated. The resulting normal points are given in Figures 15-27 and in Table 7. Care has been taken that the groups contained nearly linear parts of the light curves without larger gaps and that especially the brightness of the maxima and minima should not be distorted. Therefore not all normal points contain the same number of observations, accordingly they have different weights. Normal points containing four or less observations are denoted by circles. Since the Hamburg observations of 1957 deviated systematically from the Budapest material, they were neglected in constructing the normal points. In case of variables exhibiting strong variations of the light curve the observed lowest and highest maxima were plotted, whereas in the minimum and on the descending branch mean values were taken. The characteristics of the light curves obtained from our material are listed in Table 3. The consecutive columns contain the designation of the variable, the period, the magnitude in maximum, the magnitude in minimum, the median magnitude (mean of max. and min.), the amplitude, epsilon the time interval between minimum and maximum in fraction of the period. When the period P changes linearly with the time t, we may put P = P_0 + beta (t-t_0). If P_0 and t are expressed in days, then beta is equal to the period change during one day. beta is given in column 8 of Table 3. In the following columns c_1, c_2 and c = c_1 + c_2 are indices illustrating the complexity of the O-C diagrams. They will be explained later. In column 12 the letter i denotes definite light curve changes, the same letter with an interrogation mark indicates possible changes in the light curve. In the last column r gives the distance from the centre of the cluster in minutes of arc. Table 3. Var Period M m m_med A epsilon beta*10^10 c_1 c_2 c B_eff r 1 0.5206250d 14.68m 15.92m 15.30m 1.24m 0.13P -11.3 2 0 2 2.1' 14.71 1.44 5 .5058940 16.15 15.61 - - 5 3 8 i 4.4 15.43 0.72 6 .5143228 14.87 16.21 15.54 1.34 0.13 + 4.1 1 0 1 2.3 9 .5415641 14.95 16.28 15.61 1.33 0.13 - 5.3 1 0 1 6.0 10 .5695185 15.06 16.15 15.60 1.09 0.16 +11.4 2 0 2 i 3.5 11 .5078918 14.75 16.17 15.46 1.42 0.14 0.0 0 0 0 4.3 12 .3178890 15.23 15.83 15.53 0.60 0.35 - 3 3 6 i 2.4 13 .4830490 14.79 15.96 15.37 1.17 0.15 - 9.4 2 0 2 i? 2.3 14 .6359019 14.95 16.19 15.57 1.24 0.15 + 1.0 0 0 0 i 2.5 15 .5300794 14.87 16.26 15.56 1.39 0.11 + 4.1 1 0 1 4.8 16 .5115075 14.93 16.31 15.62 1.38 0.12 - 4.9 1 0 1 5.2 15.20 1.00 17 .5761367 16.20 15.80 - + 6.0 2 2 4 i 7.7 15.60 0.60 14.86 1.44 0.11 18 .5163623 16.30 15.67 - 3 2 5 i 5.2 15.22 1.08 0.16 19 .6319796 15.56 16.15 15.85 0.59 0.21 - 2.3 1 0 1 7.1 20 .4912570 14.85 16.25 15.55 1.41 - - 2 1 3 i 7.2 21 .5157286 14.92 16.42 15.67 1.50 0.12 +16.5 2 0 2 5.8 22 .4814221 14.98 16.20 15.59 1.22 - - 5 2 7 i 3.2 23 .5953756 15.07 15.80 15.43 0.73 0.18 - 1 1 2 i? 5.1 24 .6633494 15.06 16.07 15.56 1.01 0.17 0.0 0 0 0 2.5 25 .4800510 14.66 16.07 15.36 1.41 0.10 + 6.3 5 0 5 i? 2.2 26 .5977452 14.88 16.04 15.46 1.16 0.14 - 1.0 0 0 0 3.1 27 .5790912 15.07 16.11 15.59 1.04 0.15 - 2 0 2 2.5 28 .4706364 14.92 15.88 15.40 0.96 0.23 - 2 4 6 i 1.8 31 .5807216 14.43 15.65 15.04 1.22 0.14 - 1.9 1 0 1 1.3 32 .4953518 14.58 15.68 15.13 1.10 0.11 - 1.4 1 0 1 1.0 14.78 1.12 33 .5252237 15.90 15.45 - - 2.9 1 0 1 i 1.9 15.24 0.66 15.08 1.08 34 .5591012 16.16 15.71 - - 3 3 6 i 3.6 15.44 0.72 15.04 1.06 0.14 35 .5306059 16.10 15.69 - 5 1 6 i 4.9 15.50 0.60 0.22 36 .5455855 14.78 16.26 15.52 1.48 0.12 + 2.2 1 1 2 3.0 37 .3266390 15.41 16.03 15.72 0.62 0.37 - 0.9 1 0 1 4.8 14.74 1.42 38 .5580276 16.16 15.60 - - 7.1 2 0 2 i 4.0 15.34 0.82 15.14 1.09 39 .5870766 16.23 15.79 - - 1 2 3 i 4.6 15.56 0.67 40 .5515411 15.09 16.32 15.70 1.23 0.13 0.0 0 0 0 4.9 41 .4850462 15.22 16.23 15.72 1.01 - - 3 1 4 i? 1.8 42 .5901852 14.40 15.68 15.04 1.28 0.16 -36.5 4 0 4 i? 1.5 14.40 1.40 43 .5404790 15.80 15.26 - - 5 3 8 i 1.7 15.04 0.76 14.84 1.20 44 .5063961 16.04 15.57 - - 4 2 6 i 3.3 15.36 0.68 45 .5368966 14.94 16.23 15.58 1.29 0.13 + 2.0 1 0 1 i? 4.6 46 .6133669 15.32 15.96 15.64 0.64 0.23 + 5.2 1 0 1 2.3 14.74 1.23 47 .5409923 15.97 15.52 - - 1 3 4 i 2.3 15.40 0.57 48 .6278128 15.23 15.92 15.57 0.69 0.22 + 4.5 1 0 1 i 2.7 14.71 1.40 0.12 49 .5482196 16.11 15.58 - 5.6 1 0 1 i 2.9 15.39 0.72 0.22 14.57 1.52 50 .5130879 16.09 15.49 - - 2 3 5 i 3.9 15.21 0.88 51 .5839818 15.16 16.18 15.67 1.02 0.15 - 5.8 1 0 1 3.8 14.92m 1.14m 52 0.5162250d 16.06m 15.57m - - 3 2 5 i 2.9' 15.23 0.83 53 .5048878 14.68 15.93 15.30 1.27 0.13P - 2.5 1 0 1 2.0 54 .5063150 14.92 15.94 15.43 1.02 0.17 - 5 3 8 i 1.9 55 .5298132 14.95 16.29 15.62 1.34 0.13 + 3.6 1 0 1 6.4 56 .3295986 15.38 16.02 15.70 0.64 0.34 - 0 2 2 6.5 57 .5122223 14.84 16.23 15.53 1.39 0.15 -14.2 2 0 2 2.6 58 .5170617 14.58 15.91 15.24 1.33 0.12 - 5 1 6 i? 1.6 59 .5888053 15.23 16.20 15.71 0.97 0.16 + 5.9 1 0 1 i 4.2 60 .7077228 15.24 16.15 15.69 0.91 0.19 + 2.3 1 0 1 7.2 14.96 1.25 61 .5209312 16.21 15.70 - - 2 3 5 i 6.8 15.42 0.79 62 .6524077 15.42 16.16 15.79 0.74 0.21 + 2.9 1 0 1 i 7.2 14.96 1.26 0.14 63 .5704164 16.22 15.69 - 6.5 1 0 1 i 5.7 15.36 0.86 0.18 64 .6054588 15.39 16.24 15.81 0.85 0.21 0.0 0 0 0 5.8 65 .6683397 15.10 16.21 15.65 1.11 0.18 - 1 1 2 5.9 66 .6201827 15.20 15.93 15.56 0.73 0.17 - 2 4 6 i 2.6 14.95 1.12 67 .5683609 16.07 15.64 - -14.2 2 0 2 i 3.0 15.44 0.63 15.0 1.0 68 .3559732 16.0 15.8 - - - - i 2.9 15.7 0.3 69 .5665878 15.15 16.05 15.60 0.90 0.18 +12.2 2 0 2 2.7 70 .486: 15.22 15.75 15.48 0.53 - - - - - 2.6 71 .5490517 15.07 16.04 15.55 0.97 0.15 - 1 1 2 2.7 72 .4560739 14.80 16.30 15.55 1.50 0.13 + 2.0 1 0 1 7.4 74 .4921441 14.80 16.20 15.50 1.40 0.14 - 1 1 2 2.9 75 .3140790 15.38 15.98 15.68 0.60 0.36 - 1 1 2 2.8 76 .5017544 14.90 16.46 15.68 1.56 0.13 - 1 1 2 1.5 77 .4593425 14.63 16.07 15.35 1.44 0.13 + 1.7 1 1 2 1.7 78 .6119254 14.92 15.70 15.31 0.78 0.19 - 1 0 1 1.4 14.72 1.59 0.11 79 .4833275 16.31 15.63 - 4: 3: 7 i 5.8 15.19 1.12 0.17 14.80 1.37 80 .5384827 16.17 15.66 - - 5 3 8 i 8.3 15.50 0.67 81 .5291105 15.00 16.28 15.64 1.28 0.15 - 1 1 2 8.2 82 .5245061 14.96 16.31 15.63 1.35 0.12 + 8.6 2 0 2 10.1 83 .5012408 14.87 16.32 15.59 1.45 0.12 + 9.6 2 0 2 7.6 84 .5957289 15.26 16.12 15.69 0.86 0.18 - 1.2 0 0 0 3.0 85 .3558189 15.32 15.92 15.62 0.60 0.38 - 1 4 5 6.4 86 .2926601 15.42 16.06 15.74 0.64 0.41 - 1 2 3 8.8 87 .3574814 15.13 15.68 15.40 0.55 0.34 - 1 1 2 i 2.1 88 .2985092 15.08 15.67 15.37 0.59 0.36 - 2 1 3 1.3 89 .5484779 14.85 15.93 15.39 1.08 0.13 - 0 1 1 1.9 90 .5170334 14.92 16.25 15.58 1.33 0.14 - 0 1 1 3.5 91 .5301630 14.95 16.26 15.60 1.31 0.15 -14.1 2 0 2 i? 9.2 92 .5035553 14.94 16.30 15.62 1.36 0.15 - 1 1 2 i 6.8 93 .6022991 15.24 16.25 15.74 1.01 0.21 - 1 1 2 8.5 94 .5236937 14.94: 16.34 15.64 1.40: 0.13 0.0 0 0 0 8.9 96 .4994467 14.74 16.10 15.42 1.36 0.14 -12.6 2 0 2 4.7 97 .3349289 15.53 16.04 15.78 0.51 0.39 + 1.6 1 0 1 4.0 100 .6188126 15.31 15.96 15.63 0.65 0.21 - 1.2 0 0 0 2.0 101 .6438975 15.29 15.78 15.53 0.49 0.22 - 3.3 1 0 1 1.6 104 .5699231 14.73 15.99 15.36 1.26 0.14 - 1.4 0 0 0 2.4 105 .2877427 15.33 15.72 15.52 0.39 0.37 - 1 2 3 3.2 106 .5471593 15.18 16.04 15.61 0.86 0.17 - 1 2 3 i 2.9 107 .3090351 15.40 16.04 15.72 0.64 0.34 - 1 4 5 5.7 108 0.5196049d 15.07m 16.34m 15.70m 1.27m 0.17P - 1 1 2 6.3' 109 .5339239 14.56 15.64 15.10 1.08 0.15 - 1 1 2 1.5 110 .5353569 15.02 15.88 15.45 0.86 - - 5 2 7 i 1.7 113 .5130066 14.90 16.25 15.57 1.35 0.11 - 1 1 2 12.0 114 .5977270 15.18 16.24 15.71 1.06 0.16 0.0 0 0 0 10.4 115 .5133529 14.98 16.34 15.66 1.36 0.12 - 0.8 0 0 0 13.4 116 .5148088 14.89 16.32 15.60 1.43 0.13 - 1 1 2 11.3 117 .6005164 15.22 16.22 15.72 1.00 0.20 - 1 1 2 i 7.9 118 .4993807 14.90 16.36 15.63 1.46 0.12 + 1.4 0 0 0 5.5 119 .5177404 14.87 16.23 15.55 1.36 0.16 - 1 2 3 4.6 120 .6401387 15.56 16.07 15.81 0.51 0.27 0.0 0 0 0 6.3 121 .5351882 14.84 15.54 15.19 0.70 - - 1 1 2 i 1.1 123 .5454472 14.92 16.31 15.61 1.39 0.14 - 2 1 3 17.0 124 .7524328 15.50 15.96 15.73 0.46 0.30 - 1 1 2 3.6 125 .3498206 15.48 16.00 15.74 0.52 0.41 + 2.9 1 0 1 3.8 126 .3484043 15.42 15.96 15.69 0.54 0.36 - 0 2 2 2.4 131 .2976919 15.04 15.56 15.30 0.52 0.40 - 1 1 2 1.3 140 .3331304 15.07 15.51 15.29 0.44 0.36 0.0 - - - 1.8 142 .5686256 14.79 15.72 15.25 0.93 0.19 0.0 - - - 1.1 In Figure 1 the median magnitude of the variables (m_med) and A - mean(A) have been plotted against the distance from the centre of the cluster, where A is the amplitude of the light curve and mean(A) is the mean amplitude in the P - A relation for the period in question. For small distances the median magnitudes are systematically too bright, the amplitudes too small, because due to photographic effects the measurements give too high values for the brightness of the stars near the centre of the cluster, and this effect is greater for faint stars than for bright ones. W. Chr. Martin has investigated the same photographic effects in omega Centauri (1938) with similar results. These photographic effects are especially pronounced for r < 2.5'. For variables at distances smaller than 2.5' from the centre the characteristics of the light curves may be strongly distorted. Accurate photometry is out of question near the centre. Therefore in the further discussions about the characteristics of the light curves variables with r < 2.5' were left out of consideration. The epochs used for the construction of the O-C diagrams are listed in tables following the remarks on every individual variable. To make the material as homogeneous as possible it was necessary to determine every epoch anew. The necessity of this procedure is especially evident for stars with variable light curve. But to homogenize the materials obtained by different observers is a difficult problem. The observations have been obtained with different instruments using different kinds of photographic plates and exposure times. Long exposure time may distort the light curve considerably. Colour equations (Kukarkin and Kukarkina, 1961 a) cannot be applied in most cases because the colour indices of several variables, especially of those having variable light curves, are unknown. For stars exhibiting regular light curve the median magnitude on the ascending branch can be simply used for determination of the epochs. Mean epochs have been obtained from a year's material plotted against phase. When the rising branch was actually observed, the mean error of one epoch is about 0.001d-0.003d, depending on the amplitude and the steepness of the rising branch. When the rising branch has not been observed, the descending branches have been fitted to a mean light curve based on all of the observations available for the star. The error of epochs determined in this way may amount to +-0.01d. Figure 1. For stars with variable light curve the determination of "the middle of the rising branch" is very problematic. E.g.1/2 (M_max+ m_min) may be sometimes fainter than M_min. Considering the Budapest material, the arithmetic mean of the average maximum and minimum was taken as median magnitude for stars exhibiting light curve changes: m_med = 1/4 (Mm_max + M_min + m_max + m_min). This definition proved to be satisfactory with the exception of Var. 68, where the median magnitude defined in this way is fainter than M_min. Therefore the epochs for this star belong to the magnitude m_Bp = 15.8 on the rising branch. We should like to make it perfectly clear that the M_max and M_min values in Table 3 are the highest and lowest maxima observed in Budapest and they may differ from the real extreme values of the maxima, as in most cases the cycle of the light curve changes is not fully covered. Besides M_max and M_min may change from year to year as in the case of field stars showing the Blashkoeffect. The variations in the brightness of the minima are rather small, therefore we have used for every star an average value of the minimum. In order to get consistent epochs we had to determine equivalent points on the rising branches obtained by different observers. For this purpose the following procedure has been used. The half amplitudes of the variables having stable light curves and situated at r > 2.5' have been compared with the Budapest data. The diagrams 2a-i obtained in this way enable us to transform the Budapest magnitude intervals into the corresponding data obtained by other observers. In principle the curves should pass the origo, but in the range of 0.2m-0.8m the following linear approximations seem to be satisfactory: a) Bailey 1895 - 1900, n = 57 Delta m_B = 1.220 Delta m_Bp + 0.320 +- .065 +- .036 b) Hett 1912, 1915 n = 21 Delta m_H = 0.837 Delta m_Bp + 0.108 +- .049 +- .025 c) Larink 1921 n = 54 Delta m_L = 0.952 Delta m_Bp + 0.101 +- .040 +-0.022 d) Muller 1925 n = 54 Delta m_M = 0.921 Delta m_Bp + 0.104 +- .037 +- .020 e) Slavenas 1926 n = 19 Delta m_S = 0.997 Delta m_Bp + 0.061 +- .084 +- .047 f) Greenstein 1926 n = 45 Delta m_G = 0.919 Delta m_Bp + 0.181 +- .088 +- .046 g) Hett 1939 n = 28 Delta m_H = 0.919 Delta m_Bp + 0.094 +- .034 +- .018 h) Belserene 1946, 1948 n = 30 Delta m_Be= 0.967 Delta m_Bp + 0.076 +- .043 +- .024 i) Roberts, Sandage 1953 n = 39 Delta m_Rs= 0.994 Delta m_Bp + 0.000 +- .029 +- .015 Figure 2. As the minimum does not change significantly in course of the light curve changes, its average value is well determined. Therefore, the median magnitude for an observer x can be defined through the relation: (med)_x = (min)_x - m_x where m_x = (min-med)_x can be determined from the relation Delta m_x = f(Delta m_Bp). The errors of (med)_x amount to about 0.03m-0.06m or 0.01d. It is not possible to construct O-C diagrams using individual maxima or minima, because the number of well observed epochs would be insufficient. O-C DIAGRAMS AND PERIOD CHANGES The periods in Helen B. Sawyer's catalogue (1955) have been corrected. The greatest correction, amounting to +0.000178d ~~ +15s, was applied to var. 54. For 17 variables (var. 18, 22, 28, 41, 42, 43, 44, 47, 52, 54, 58, 66, 79, 80, 88, 110, 119) corrections exceeding 0.00001d ~~ 1s were necessary. The periods given in Table 3 refer generally to J. D. 2425000, and are average values taken over more than 60 years. The O-C diagrams were constructed by using these periods, and if possible, they were approximated by a straight line or a quadratic parabola. Considering only the variables observed since Bailey's discoveries the O-C diagrams are represented by a straight line for 7 variables, by a positive parabola for 22, by a negative parabola for 25 variables. There is no systematic trend in period lenghtening or shortening. In Figure 3 the frequency distribution of the values of 10^10 beta is shown, for the RRab variables. Apart from some deviations the distribution is Gaussian for M3 and M5. For M3 the mean values and their errors are compiled in the following table: n 10^10 mean(beta) 10^10 delta beta RRc stars 4 +0.90 +-0.71 RRab stars 53 -0.74 1.12 all 57 -0.63 1.05 Figure 3. The distributions of the beta and delta beta values according to the period are shown in Fig. 4 and given below P 0.32 0.35 0.44 0.47 0.50 0.53 0.56 0.59 0.62 0.65 0.68 0.71 n 4 2 5 13 8 10 7 5 2 1 10^10 mean(beta) + 0.90 + 1.85 -3.14 + 0.45 -2.97 + 0.67 -4.99 -0.02 + 1.45 + 2.3 10^10 delta beta +-0.85 +-3.41 +-2.31 +-2.17 +-2.63 +-5.32 +-1.37 Figure 4. The irregularities in the O-C diagrams can not be generally identified with changes of the true period; they represent only statistical fluctuations around the expectable value of the period. Strictly taken, the change of the period is given by the dependence of the density function f (P, E) on E (Sterne, 1934). P=integral from zero to infinity Pf(P,E)dP, In M3 the O-C diagrams could be approximated by quadratic forms only for 57 variables, whereas for the majority of the variables more complicated O-C diagrams have been obtained. Especially difficult was the construction of O-C diagrams for stars with changing light curves, because the secondary periods causing phase shifts amounting sometimes to 0.1d, were not known. Therefore these phase shifts could not be eliminated and they appeared as scatter in the O-C diagrams. We have for variables in M3 the same rule as for field RR Lyrae stars (Julia Balazs, L. Detre): RR Lyrae stars with secondary periods have very complicated O-C diagrams. The author has attempted to characterize these intricate O-C diagrams through three indices (c_1, c_2, c; Table 3). c_1 describes the extent of the O-C diagram, i.e. the amplitude of the fluctuations of the O-C values. Its dependence on the period was eliminated by using the average period over 60 years. c_1 = 0 if the fluctuations of O-C are smaller than 0.02d c_1 = 1 " " " " " " between O.02d and 0.10d ? c_1 = 2 " " " " " " " 0.01d " 0.25d c_1 = 3 " " " " " " " 0.25d " 0.40d c_1 = 4 " " " " " " " 0.40d " 0.55d c_1 = 5 " " " " " " greater than 0.55d c_2 gives the number of cycles in the O-C diagram having amplitudes greater than 0.01d. c_2 = 0 if the number of inflexion points is 0 c_2 = 1 " " " " " " " 1 c_2 = 2 " " " " " " " 2 c_2 = 3 " " " " " " " 3 c_2 = 4 " " " " " " " 4 or more. As a very compact index, characterizing the complexity of the O-C diagrams, the sum c = c_1 + c_2 can be used. In Figure 5 the indices c_1, c_2 and c are plotted against the distance from the centre. RRc stars are denoted by triangles, RRab stars having variable light curves by circles. It is obvious that RRab stars with variable light curves have generally O-C diagrams of great complexity. In the vicinity of the centre several stars occur qualified as regular (var. 25, 42, 48) nevertheless having complicated O-C diagrams. No doubt these stars are effected by the Blashko-effect, but the considerable errors of measurement make the effect indistinct near the centre. After all we can state as a rule in accordance with results obtained by Detre for field RR Lyrae stars: RRab stars having complex O-C diagrams exhibit always Blashko-effect of considerable amplitude. Figure 5. Figure 6 represents the relations c_1, c_2, c versus period. Open circles are again used for stars having variable light curves. For RRc and irregular RRab stars the index c2 is generally large, i.e. they exhibit cyclic oscillations in their O-C diagrams. Figure 6. THE CHARACTERISTICS OF THE LIGHT CURVES The characteristics of the light curves are summarized in Table 3. The relation with period of the amplitudes for 50 variables with a distance from the centre greater than 2.5' is shown in the middle of Fig. 7. Sandage and Roberts' (1955) two variables of very small amplitude are also plotted in the diagram. Figure 7. The break between c- and ab-type variables is evident and the figure illustrates for ab-variables the well-known decrease in amplitude with increasing period. But the points for RRab stars appear to be distributed in two sequences, as was already pointed out for cluster variables by Belserene (1954), and for field RR Lyrae stars by Detre (1955). The one on the shortperiod side (RRab I stars) is considerably steeper than the long-period sequence (RRab II stars). Also other characteristics of the light curves (epsilon, mean(B-V), median magnitude, m_max etc.) indicate a separation of RRab stars into two distinct sequences. RRab II stars behave like RRab I stars of the same amplitude having periods shorter by 0.1d. The separation is especially well marked in the relations m_max versus P (Fig. 8) and B-V versus P (Fig. 9). Constructing Fig. 9 the mean colour indices mean(B-V) obtained by Sandage (1959) have been used. Figure 8. Figure 9. In M3 the variables 14, 24, 26, 60, 65 and 124 belong definitely to the RRab II sequence. Table 4 summarizes the dependence of the median magnitude on period for stars with r > 2.5'. Table 4 Type n mean(P) m_med. RRab I 0.45d < P <= 0.50d 5 0.485d 15.538m 0.50 < P <= 0.55 24 0.524 15.597 0.55 < P <= 0.60 9 0.581 15.633 0.60 < P 8 0.623 15.731 RRab II 4 0.681 15.632 RRab all 50 0.559 15.622 RRc 9 0.322 15.691 RR all 59 0.523 15.633 Figure 10 illustrates the relation of epsilon = M-m to the period for variables having stable light curves. RRc stars are indicated by open circles, RRab II stars by triangles. Plotting epsilon against the amplitude (A), instead of P (Fig. 11), the separation of RRab stars into two sequences is not apparent and the scatter becomes smaller than in Fig. 10. I. e. there exists a closer correlation between epsilon and A, than between epsilon and P. In Table 3 the observed brightest and faintest maxima are given for variables exhibiting light curve changes. Figure 10. Presumably these observed data do not differ substantially from the true extreme maxima. With the observed extreme maxima Fig. 12 was constructed showing the period-amplitude relation for stars with variable light curves. The amplitudes for stars exhibiting only minute light curve changes are denoted by triangles, the greatest amplitudes by +, the smallest ones by X. Apart from the uncertain var. 68, Fig 12 shows, that for stars having variable light curves the greatest amplitudes fit the P-A relation valid for RR Lyrae stars with stable light curves. This was already noted by Preston (1964) for field variables. In this connection it is worthy to mention that according to results obtained by Balazs and Detre for RW Dra and RR Lyrae the greatest amplitude does not show variations with time, while the smallest amplitude may vary considerably. For some variables (var. 35, 44, 52) the observed greatest amplitude is considerably below expectation, probably because only smaller amplitudes have been observed at Budapest. Figure 11. Figure 12. It is interesting to consider the variations of epsilon in course of a cycle of light curve changes. In Fig. 11 the extreme values are connected by a straight line. The epsilon-values change inside the region occupied by regular variables. This phenomenon strengthens the result obtained above that epsilon has a closer dependence on A than on P. Table 5 P +- 0.015d n(all) n_B (with Blasko- n_B/n effect) 0.29d 4 0 0.00 0.32 7 1 0.14 0.35 5 2 0.40 0.47 8 3 0.37 0.50 21 6 0.29 0.53 26 10 0.38 0.56 13 7 0.54 0.59 14 4 0.29 0.62 7 2 0.29 0.65 4 1 0.25 0.68 1 0 0.00 0.71 1 0 0.00 0.74 1 0 0.00 ___ ___ 112 36 Figure 13. Among the 112 variables in M3 investigated in detail 36 (32%) show all the characteristics of the Blashko-effect as enumerated by Detre (1962). In Table 5 and in Fig. 13 the period-frequency is given for these stars. They have in M3 the highest frequency at P = 0.47d and 0.56d, in good agreement with field RR Lyrae stars. The period frequency distribution remains the same if we include also the 9 variables for which the presence of the Blashko-effect is not quite certain. No such statistics can be made for RRc stars. The frequency of variables with Blashko-effect does not depend on the distance from the centre. COMPARISON WITH OTHER GLOBULAR CLUSTERS Figure 7 shows the period-amplitude relation for omega Cen (Martin 1938) and M3. It contains only variables having stable light curves and situated at a distance 4' or more from the centre in omega Cen and at 2'5 or more in M3, respectively. The separation of RRab stars in two sequences, mentioned above for M3, can be well seen also for omega Cen (Belserene, 1954). The same phenomenon appears also for M5 (Oosterhoff, 1941) considering only regular stars having distances from the centre r > 2'5. The frequency distribution of the variables in both sequences is given in Table 6 (I: short period sequence; II: long period sequence). Table 6. Cluster RRc RRab I RRab II RR M3 10 (20%) 35 (70%) 5 (10%) 50 M5 9 (29%) 16 (32%) 6 (19%) 31 omega Cen 43 (54%) 7 (9%) 30 (37%) 80 The relative population of the sequences differs markedly from cluster to cluster and seems to be correlated with the percentage of RRc stars. This statement is supported by NGC 320 (the data are taken from Sawyer's catalogue, 1955). In this cluster there is only one RRc star, while all the RRab stars with r > 2'5 belong to the short period sequence. The globular clusters can be apparently divided into two groups according to the population of the RRab sequences I and II. Between the two groups there is however no continuous transition (van Agt and Oosterhoff, 1959). The short-period sequence I of the RRab stars in omega Cen as well as in M3,is perceptibly steeper than the long-period sequence II. In this way Detre's notes (1955) on the period-amplitude diagrams of globular clusters may be explained: the frequency of RRc stars increases with that of RRab stars, at the same time the average period of RRab stars becomes longer and the steepness of the combined I and II sequences decreases in the P-A diagram. Another difference between the two sequences is in the average rate of change of the period (Belserene, 1954), i.e. in the average value of the coefficient beta. The values of 10^10 mean(beta) for the clusters omega Cen, M5 and M3 are given in Table 7 (with their probable errors), further the number of variables used in the tabulation (in parentheses) and the number of stars with positive and negative beta-s, marked by + and - respectively. Table 7 contains for omega Cen the variables at distance 4' or more from the centre, for M3 and M5 those situated at 2'5 or more from the centre. Table 7 10^10 mean(beta) 10^10 mean(beta) for RRab II stars Cluster for RRab I stars P < 0.7d P >= 0.7d all omega Cen -3.86+-4.37 (7) +1.34+-3.60 (15) +10.94+-3.04 (11) +5.40+-2.58 (26) 3 + and 4 - 10 + and 5 - 9 + and 1 - 19 + and 6 - M5 +1.47+-1.45 (15) +1.94+-1.04 (5) +19.8 (1) +4.92+-3.10 (6) 9 + and 5 - 4 + and 1 - 1 + and 0 - 5 + and 1 - M3 +0.21+-1.42 (26) 0.00+-0.57 (3) + 2.3 (1) +0.58+-0.70 (4) 11 + and 9 - 1 + and 1 - 1 + and 0 - 2 + and 1 - The +0.01+-1.10 (48) +1.30+-2.48 (23) +10.96+-2.75 (13) +4.78+-1.98 (36) three clusters 23 + and 18 - 15 + and 7 - 11 + and 1 - 26 + and 8 - Among the 13 RRab II stars with P>= 0.7d only one (var. 85 in omega Cen) has a negative beta, with a small absolute value of 0.6*10^-10. On the long-period RRab sequence of M3 we have one star, var. 26, with a negative beta. It has a period of 0.598, therefore, it cannot be clearly separated from sequence I, only its colour index B-V indicates its belonging to sequence II. After all we can make the following statement: There is a pronounced period lengthening on the long period RRab branch, actually beta increases with increasing period. On the short period branch positive and negative beta values have the same frequency and we get mean(beta) = 0.0 X 10^-10. In this way it is understandable, that where sequence II is predominant (omega Cen), period lengthenings are prevailing, while positive and negative beta values have the same frequency (mean(beta) ~ 0) in clusters with predominant RRab I sequences (M3). It is very probable, that the separation of the RRab stars into two sequences depends on chemical composition. That is suggested by Figure 7, where in addition to the P-A relation for omega Cen and M3 the same relation is shown for 50 field RR Lyrae stars. In this diagram open circles represent stars with Delta S = 0-2 (normal metal content), solid circles stars with Delta S = 9-11 (extremely low metal content), Delta S being Preston's index (Preston, 1959). The photoelectric B magnitudes were mainly taken from Kinman's paper (1961) and from unpublished Budapest observations. Apparently, stars with extremely low metal content occupy the long-period sequence II, whereas sequence I is the locus of stars with medium metal content. That is supported by the fact that the metal rich globular cluster NGC 6171 has a well populated sequence I (Kukarkin, 1961). It is worthy to note, that while M3 and omega Cen represent two extreme types of globular clusters with respect to the statistical properties of their RR Lyrae variables, both (even M5) belong to Morgan's class II containing clusters with weak metal lines. On the other hand NGC 6171 is of type VII-VIII, a cluster with strong metal lines (Sandage, Katem, 1964). We are led to the conclusion that RR Lyrae stars do not represent a chemically homogeneous group even within one and the same cluster. It is probable, that the two RRab sequences represent in the HRD the continuations of the two different branches of red stars on the horizontal branch (Arp, 1955). Perhaps the two branches represent stars evolving in opposite directions along the horizontal section of the HRD (Woolf, 1964). REMARKS ABOUT INDIVIDUAL VARIABLES Var 1 The O-C diagram can be well approximated by a negative parabolic curve. The star lies near the centre, therefore the brightness values are systematically higher. The O-C residuals have been computed with the ephemeris: C = 242 5000.260 + 0.5206250d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 384.442: -22311 -.154d: 1896 13 691.627: -21721 -.137: 1900 15 160.870: -18899 -.098: L 1921 22 761.567 - 4300 -.005 M 1925 24 298.457 - 1348 -.000 G 1926 24 647.795 - 677 -.002 Ma 1940 29 770.197 + 9162 -.029 Bp 1940 29 775.399 + 9172 -.034: 1941 30 078.401: + 9754 -.035: 1950 33 390.572 +16116 -.081 1952 34 121.516 +17520 -.094 1953 34 487.510 +18223 -.099 RS 1953 34 507.815 +18262 -.099 Bp 1956 35 598.503 +20356 -.121 1962 37 791.332: +24569 -.164: Var 5 Strongly changing light curve. There is an oscillation of about 0.7m in the height of maxima. The depth of minima shows a variation of about 0.3m amplitude as well. The periodic oscillations in the O-C residuals may exceed 2h. In Larink and Martin's material no strong variations of the light curve are apparent. The O-C diagram drawn in the figure seems to be the most probable although it can not be determined unambiguously. The O-C residuals have been computed with the formula: C = 2425000.326 + 0.5058940d E. Observer Year t(med)hel. E O-C B 1900 J. D. 2415 161.836 -19448 +.137d H 1912 19 534.841 -10804 +.194 1915 20 625.818: - 8647 -.043: H 1915 J. D. 2420 654.771 - 8590 +.074d L 1921 22 760.458 - 4427 -.275 M 1925 24 309.500 - 1365 -.281 Sch 1938 28 966.781: + 7840 +.246: Bp 1938 28 991.527 + 7889 +.203 H 1939 29 430.736 + 8757 +.296 Ma 1940 29 780.250 + 9448 +.237 29 781.260 + 9450 +.236 Bp 1941 30 052.468 + 9986 +.285 Be 1946 31 968.754 +13774 +.244 1948 32 700.767: +15221 +.228: K 1952 34 131.313 +18049 +.107 RS 1953 34 483.905 +18746 +.090 Bp 1953 34 487.449 +18753 +.093 1955 35 223.493 +20208 +.061 35 224.473 +20210 +.029 K 1956 35 578.484 +20910 -.086 35 614.496 +20981 +.008 Bp 1957 35 920.524 +21586 -.030 K 1959 36 668.553 +23065 -.218 36 692.423 +23112 -.125 1960 37 047.474 +23814 -.212 Var 6 The variable is of RRab type. The O-C diagram can be represented by a positive parabolic curve. It was computed with the ephemeris: C = 2425000.271 + 0.5143228d E. Observer Year t(med)hel. E O-C B 189? J. D. 2413 390.519 -22573 +.057d ??? 1897 14 077.628: -21237 +.030: 1900 15 160.802 -19131 +.040 L 1921 22 760.407 - 4355 +.012 M 1925 24 289.479 - 1382 +.002 S 1926 24 621.730 - 736 +.001 Bp 1938 28 991.415 + 7760 -.001 Ma 1940 29 770.106 + 9274 +.005 Bp 1941 30 052.470: + 9823 +.006: 1950 33 390.431: +16313 +.012: 1952 34 126.445 +17744 +.030 RS 1953 34 447.894: +18369 +.027: Bp 1953 34 488.532 +18448 +.034 1955 35 223.505 +19877 +.040 1956 35 600.511: +20610 +.047: 1960 37 018.513 +23367 +.061 1962 37 791.545 +24870 +.066 Var 9 The cyclic oscillations superposed on the negative parabolic O-C curve may have some reality. The Budapest material is rather poor. The O-C residuals have been constructed using the formula: C = 2425000.521 + 0.5415641d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 372.533: -21471 -.065d: 1896 13 691.528 -20882 -.051: 1897 14 140.508: -20053 -.028: 1900 15 160.804 -18169 -.039 H 1915 20 625.762 - 8078 -.004 L 1921 22 760.631 - 4136 +.019 M 1925 24 290.538 - 1311 +.008 S 1926 24 620.883 - 701 -.002 G 1926 24 683.707 - 585 +.001 H 1939 29 400.722 + 8125 -.007 Ma 1940 29 770.070 + 8807 -.006 Bp 1940 29 774.398: + 8815 -.011: Be 1946 31 993.721 +12913 -.017 1948 32 684.759 +14189 -.015 Bp 1950 33 422.349: +15551 -.035: 1951 33 763.542: +16181 -.028: 1952 34 121.507 +16842 -.037 RS 1953 34 483.809 +17511 -.041 Bp 1955 35 223.580 +18877 -.047 1956 35 600.505 +19573 -.050 1957 35 920.568 +20164 -.052 1960 37 018.313: +22191 -.057: 1962 37 791.112: +23618 -.070: Var 10 There is an oscillation in the height of the light maxima a mounting to 0.2m-0.3m, connected with variations in the slope of the rising branch. A positive parabola fits the O-C values well. The large scatter is probably an effect of the light curve changes. The residuals have been computed with the formula: C = 2425000.247 + 0.5695185d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 372.528: -20417 +.140d: 1896 13 721.626: -19804 +.123: 1900 15 160.770 -17277 +.094 H 1912 19 479.939 - 9693 +.035 1915 20 625.791 - 7681 +.016 1921 22 761.474 - 3931 +.004 M 1925 24 309.430 - 1213 +.009 G 1926 24 647.716 - 619 +.001 Bp 1938 28 991.449 + 7008 +.016 H 1939 29 431.689 + 7781 +.019 Ma 1940 29 770.559 + 8376 +.025 Bp 1941 30 052.486 + 8871 +.040 Be 1946 31 995.695 +12283 +.052 1948 32 684.819: +13493 +.059: Bp 1951 33 763.500 +15387 +.072 1952 34 118.323 +16010 +.085 1953 34 487.374 +16658 +.088 RS 1953 34 507.864: +16694 +.075: Bp 1955 35 224.348: +17952 +.105: Bp 1956 J. D. 2435 598.532 +18609 +.115d 1957 35 933.413 +19197 +.119 1960 37 018.370: +21102 +.144: 1962 37 791.227: +22459 +.164: Var 11 In the interval covered by observations the period may be considered as constant. An extremely small decrease of the period is probable. The O-C values have been obtained with the formula: C = 2425000.167 + 0.5078918d E. Observer Year t(med)hel. E O-C B 1898 J. D. 2414 438.558: -20795 +.001d: 1900 15 161.792 -19371 -.003 H 1912 19 479.891: -10869 .000: 1915 20 625.696 - 8613 +.001 L 1921 22 733.447: - 4463 +.001: M 1925 24 309.436 - 1360 +.002 S 1926 24 620.773 - 747 +.001 G 1926 24 683.753 - 623 +.003 H 1939 29 408.668 + 8680 .000 Ma 1940 29 770.287: + 9392 .000: Bp 1940 29 775.363: + 9402 -.003: Be 1948 32 684.568: +15130 -.002: Bp 1950 33 420.506 +16579 +.001 1951 33 763.334: +17254 +.002: 1952 34 122.410 +17961 -.002 RS 1953 34 507.899: +18720 -.002: Bp 1955 35 224.535 +20131 -.002 1956 35 600.377 +20871 .000 1957 35 933.551 +21527 -.003 1960 37 018.413 +23663 +.002 1962 37 791.423 +25185 +.001 Var 12 The star is of RRc type. The variation of the light curve can be clearly seen from differences in the shape and height of the maximum. The maxima are generally double (e.g. on J. D. 242 2761 and 243 5603). Missing strongly Martin and Belserene's material, the O-C diagram is rather uncertain. The residuals have been computed with the formula: C = 2425000.063 + 0.3178890d E. Observer Year t(med)hel. E O-C B 1985 J. D. 2413 372.508 -36577 -.129d 1896 13 691.636 -35573 -.162 1897 14 077.479 -34359 -.236 B 1898 J. D. 2414 456.402: -33167 -.237d: 1900 15 161.801 -30948 -.233 L 1921 22 761.576 - 7042 +.087 M 1925 24 288.401 - 2239 +.091 S 1926 24 642.838 - 1124 +.082 G 1926 24 647.933 - 1108 +.092 Bp 1938 28 991.384: +12556 -.093: Ma 1940 29 770.262 +15006 -.043 Bp 1940 29 774.377 +15019 -.061: 1941 30 078.330: +15975 -.010: 1950 33 420.511 +26488 +.204 1951 33 763.521 +27567 +.212 1952 34 120.527 +28690 +.229 1953 34 487.370 +29844 +.228 RS 1953 34 507.700 +29908 +.213 Bp 1955 35 223.506 +32160 +.133 1956 35 603.393 +33355 +.142 1957 35 920.575: +34353 +.071: 1960 37 018.512: +37807 +.020: 1962 37 791.477 +40239 -.121 Var 13 It is an object very difficult to measure, lying in a very dense region near the centre. The star probably has a varying light curve. The cyclic oscillations superposed on the negative parabolic O-C curve may be real. The residuals have been computed with the formula: C = 2425000.187 + 0.4830490d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 383.665: -24048 -.160d: 1898 14 456.588: -21827 -.088: 1899 14 841.583: -21030 -.083: 1900 15 161.856 -20367 -.072 L 1921 22 756.426: - 4645 +.002: M 1925 24 309.423 - 1430 -.004 G 1926 24 683.781 - 655 -.009 Bp 1940 29 719.565 + 9770 -.010 Ma 1940 29 770.292 + 9875 -.004 Bp 1941 30 078.464 +10513 -.017 1952 34 121.536 +18883 -.065 RS 1953 34 483.815: +19633 -.073: Bp 1953 34 487.200: +19640 -.069: 1955 35 224.315: +21166 -.087: 1956 35 603.473 +21951 -.122 1957 35 933.393: +22634 -.125: 1960 37 018.295: +24880 -.151: Var 14 The Budapest material does not show the great variations of the light curve suggested by Roberts and Sandage's measurements. The characteristics of the light curve are similar to those of RRab stars having periods shorter by 0.1d (The star belongs to the long period sequence). The O-C diagram has been constructed using the formula: C = 2425000.315 + 0.6359019d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 694.631. -17779 +.016d: 1897 14 073.622: -17183 +.009: 1899 14 840.513: -15977 +.003: L 1921 22 760.661 - 3522 -.008 M 1925 24 285.559 - 1124 -.002 Bp 1938 28 991.259: + 6276 +.024: Ma 1940 29 770.224 + 7501 +.009 Bp 1940 29 775.314: + 7509 +.012: 1950 33 390.410: +13194 +.005: 1952 34 118.517 +14339 +.005 1953 34 487.348 +14919 +.013 RS 1953 34 507.694: +14951 +.010: Bp 1955 35 227.540 +16083 +.015 1956 35 603.357: +16674 +.014: 1957 35 933.391 +17193 +.015 1962 37 791.485 +20115 +.003 Var 15 The period increases but the residuals O-C can not be satisfactorily approximated by a parabola. The O-C values were computed with the formula: C = 2425000.510 + 0.5300794d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 377.510: -21927 +.051d: 1899 14 840.512: -19167 +.034: 1900 15 161.744 -18561 +.038 L 1921 22 729.654 - 4284 +.004 M 1925 24 287.552 - 1345 -.001 S 1926 24 642.701 - 675 -.005 Bp 1938 28 991.492: + 7529 +.014: Ma 1940 29 770.180 + 8998 +.016 Bp 1940 29 774.417: + 9006 +.012: 1950 33 422.444 +15888 +.032 1952 34 120.561 +17205 +.035 1953 34 487.377 +17897 +.036 1956 35 598.432: +19993 +.045: 1957 35 933.444 +20625 +.046 1960 37 018.517 +22672 +.047 1962 37 791.382 +24130 +.056 Var 16 The star is a variable of type RRab. In the O-C diagram an abrupt change occurs at J. D. 242 9000. From J. D. 242 0000 to J. D. 242 9000 and from J. D. 242 9000 to J. D. 243 8000 the period can be considered as constant. The residuals have been computed utilizing the data: C = 2425000.488 + 0.5115075d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 691.491: -22109 -.078d: 1897 14 067.457: -21374 -.070: H 1912 19 479.783: -10793 -.005: 1915 20 654.719 - 8496 -.001 L 1921 22 761.621 - 4377 +.001 M 1925 24 290.518 - 1388 +.002 S 1926 24 620.946 - 742 -.003 Bp 1938 28 991.268: + 7802 -.002: H 1939 29 431.673 + 8663 -.004 Ma 1940 29 770.288 + 9325 -.007 Bp 1940 29 775.400 + 9335 -.011 Be 1946 31 968.727 +13623 -.028 1948 32 700.689 +15054 -.033 Bp 1950 33 422.424 +16465 -.035 RS 1953 34 482.768 +18538 -.046 Bp 1953 34 487.375 +18547 -.043 1955 35 223.428 +19986 -.049 1956 35 600.407 +20723 -.051 1957 35 933.392 +21374 -.057 1962 37 791.178: +25006 -.067: Var 17 The height of maximum-light oscillates between 15.2m-15.6m. This is connected with a strong variation of the whole light curve. (Variations of the same amplitude have been found by all other observers.) The residuals O-C belonging to the maxima do not show considerable oscillations, while Belserene found for the median point of the rising branch differences amounting to 1h. The oscillations of the minima are even much greater. The large scatter in the O-C diagram is due to the Blashko-effect. The parabola drawn in the figure represents a rough approximation only. The residuals have been obtained with the formula: C = 2425000.441 + 0.5761367d E. Observer Year t(med)hel. E O-C B 1867 J. D. 2413 721.498 -19577 +.085d 1897 14 077.531: -18959 +.066: 1899 14 841.461: -17633 +.038: 1900 15 161.801 -17077 +.046 H 1912 19 479.901 - 9582 +.002 1915 20 654.651 - 7543 +.009 L 1921 22 761.599 - 3886 +.025 M 1925 24 289.491 - 1234 +.003 G 1926 24 647.846 - 612 +.001 24 684.735 - 548 +.017 Sch 1938 28 964.850: + 6881 +.012: Bp 1938 28 991.366: + 6927 +.026: Ma 1940 29 770.302 + 8279 +.025 Bp 1941 30 078.507 + 8814 -.003 Be 1946 31 971.747 +12100 +.052 31 994.743 +12140 +.002 1948 32 683.812: +13336 +.012: Bp 1950 33 422.417 +14618 +.010 1951 33 763.516 +15210 +.036 Bp 1952 J. D. 2434 118.388 +15826 +.008d 34 122.436: +15833 +.023: 1955 35 223.459 +17744 +.048 1956 35 598.531 +18395 +.055 1957 35 920.606: +18954 +.070: 1960 37 058.540: +20929 +.134: 1962 37 791.361 +22201 +.109 Var 18 The variation of the light curve is well pronounced. The residuals O-C for the minima are constant while the median point of the rising branch shows cyclic oscillations amounting to 0.5h. The height of the maxima varies with an amplitude of about 0.35m. The period is strongly variable. The section of the O-C diagram preceding Larink's observations is uncertain. The (O-C)-s were computed by the formula: C = 2425000.066 + 0.5163623d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 692.597: -21899 +.349d: 1899 14 841.431: -19674 +.277: L 1921 22 756.490 - 4345 +.018 M 1925 24 288.524 - 1378 +.005 G 1926 24 647.907 - 682 .000 Sch 1938 28 966.752: + 7682 -.009 Bp 1938 28 991.532 + 7730 -.015 H 1939 29 408.747 + 8538 -.020 Ma 1940 29 770.186 + 9238 -.035 Bp 1940 29 775.346: + 9248 -.039: 1941 30 078.432 + 9835 -.057 Be 1946 31 968.742 +13496 -.150 1948 32 683.871 +14881 -.182 Bp 1952 34 121.375 +17665 -.231 RS 1953 34 447.723 +18297 -.224 Bp 1953 34 487.486 +18347 -.222 1956 35 603.409 +20535 -.157 1957 35 920.480 +21149 -.132 1960 37 018.406: +23275 +.007: 1962 37 791.499 +24772 +.106 Var 19 The cyclic variation superposed on the negative parabola can be considered as real. The (O-C)-s were computed using the formula: C = 2425000.319 + 0.6319796d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 372.520: -18399 -.006d: 1896 13 693.552: -17891 -.020: 1900 15 161.628: -15568 -.033: L 1921 J. D. 2422 760.585 - 3544 +.002d M 1925 24 287.438 - 1128 -.008 G 1926 24 647.663: - 558 -.011: Bp 1938 28 991.276: + 6315 +.006: 1940 29 720.562: + 7469 -.013: Ma 1940 29 770.512 + 7548 +.011 Bp 1941 30 052.361: + 7994 -.003: 1950 33 421.442 +13325 -.005 1951 33 763.342: +13866 -.006: 1952 34 118.493 +14428 -.028 RS 1953 34 507.782 +15044 -.038 Bp 1955 35 224.459 +16178 -.026 1956 35 600.511 +16773 -.002 1957 35 933.561 +17300 -.005 1960 37 018.628: +19017 -.047: 1962 37 791.554 +20240 -.032 Var 20 The variations of the light curve are conspicuous. The variations in the slope of the rising branch can be well seen on serial exposures taken by Martin on consecutive nights. This is supported by observations obtained at Budapest. Great variations in the height of maxima are very probable. According to Belserene the residuals O-C oscillate with an amplitude of about 1h. The residuals have been calculated with the formula: C = 2425000.248 + 0.4912570d E. Observer Year t(med)hel. E O-C B 1897 J. D. 2414 078.534 -22232 -.108d 1899 14 841.448: -20679 -.096: 1900 15 161.781 -20027 -.063 H 1912 19 479.934 -11237 -.059 L 1921 22 761.559 - 4557 -.031 M 1925 24 289.396 - 1447 -.003 24 311.491 - 1402 -.015 G 1926 24 684.836 - 642 -.025 Ma 1940 29 770.374 + 9710 +.021 Bp 1941 30 078.409: +10337 +.037: Be 1946 31 968.763 +14185 +.034 31 995.747 +14240 -.001 1948 32 700.715: +15675 +.014: Bp 1950 33 421.372: +17142 -.003: 1952 34 121.424 +18567 +.007 RS 1953 34 482.991 +19303 +.009 Bp 1953 34 487.414 +19312 +.011 1956 35 603.480 +21584 -.059 1957 35 933.603: +22256 -.061: 1960 37 058.621: +24546 -.021: 1962 37 791.550 +26038 -.048 Var 21 The O-C diagram deviates from a parabola, the rate of period increase is diminishing. The O-C curve was computed with the formula: C = 2425000.268 + 0.5157286d E. Observer Year t(med)hel. E O-C B 1897 J. D. 2414 067.561: -21199 +.224d: H 1912 19 479.960 -10704 +.051 1915 20 654.781 - 8426 +.042 L 1921 22 761.504 - 4341 +.014 M 1925 24 286.500 - 1384 .000 Sch 1938 28 966.769: + 7691 +.032: Bp 1938 28 991.522 + 7739 +.030 H 1939 29 408.754 + 8548 +.038 Ma 1940 29 770.288 + 9249 +.046 Bp 1940 29 775.444 + 9259 +.045 Be 1946 31 965.782 +13506 +.084 1948 32 683.694 +14898 +.101 Bp 1950 33 422.236: +16330 +.120: 1952 34 120.549 +17684 +.136 1953 34 487.244: +18395 +.148: RS 1953 34 507.871 +18435 +.146 Bp 1956 35 603.311 +20559 +.179 1957 35 920.488 +21174 +.183 1960 37 018.516 +23303 +.224 1962 37 757.578: +24736 +.247: Var 22 The light curve varies with certainty, differences of 0.1m-0.2m can be revealed in the heights of maxima. The residuals O-C were computed with the formula: C = 2425000.344 + 0.4814221d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 377.494: -24142 -.358d: 1897 14 077.520: -22688 -.319: 1899 14 841.562: -21101 -.294: 1900 15 161.746 -20436 -.256 H 1912 19 479.726: -11468 +.331: 1915 20 656.835: - 9023 +.363: L 1921 22 761.563 - 4651 +.313 M 1925 24 313.496 - 1427 +.141 G 1926 24 683.630: - 658 +.062: H 1939 29 400.715 + 9141 -.308 Ma 1940 29 770.440 + 9909 -.316 Bp 1940 29 774.291: + 9917 -.316: 1941 30 078.542: +10549 -.324: Be 1946 31 974.835: +14488 -.352: 1948 32 700.815: +15996 -.357: Bp 1950 33 422.466 +17495 -.358 1951 33 763.289: +18203 -.381: 1952 34 121.494 +18947 -.355 RS 1953 34 447.876 +19625 -.377 Bp 1953 34 487.363 +19707 -.366 1955 35 223.473 +21236 -.351 1956 35 600.409 +22019 -.368 1957 35 933.545 +22711 -.376 1962 37 791.328 +26570 -.401 Var 23 I found variations of the light curve with an oscillation of about 0.1m-0.2m in maximum(maxima on J.D. 243 4487 and J.D. 243 5224). The O-C diagram may be represented by a positive parabola as well. The high brightness values obtained for the variable suggest a close companion, but it can not be seen on Budapest plates. The (O-C)-s were computed using the formula: C = 2425000.134 + 0.5953756d E. Observer Year t(med)hel. E O-C B 1897 J. D. 2414 140.492 -18240 +.009d H 1915 20 656.849: - 7295 -.020: L 1921 22 761.526 - 3760 +.004 M 1925 24 312.469 - 1155 -.006 S 1926 24 620.882 - 637 +.002 G 1926 24 647.675: - 592 +.003: Bp 1938 28 991.544 + 6704 +.012 1939 29 346.375 + 7300 -.001 H 1939 29 407.707 + 7403 +.007 Ma 1940 29 770.317 + 8012 +.034 Bp 1941 30 052.511 + 8486 +.020 Be 1948 32 684.665 +12907 +.018 Bp 1950 33 422.348: +14146 +.031: 1951 33 763.498 +14719 +.031 1952 34 118.345 +15315 +.034 1953 34 487.462 +15935 +.018 1955 35 224.548 +17173 +.029 1956 35 600.239: +17804 +.038: 1957 35 920.541: +18342 +.028: 1960 37 018.417: +20186 +.031: 1962 37 791.222: +21484 +.039: Var 24 No hump can be seen on the rising branch. The variable has similar behaviour like RRab stars having shorter periods by about 0.1d (on the long period sequence). Although the residuals O-C are represented by a straight line, smaller oscillations may be real. The (O-C)-s were computed with the formula: C = 2425000.295 + 0.6633494d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 691.522: -17048 +.008d: 1897 14 071.617: -16475 +.003: 1900 15 160.833 -14833 .000 L 1921 22 729.654 - 3423 +.004 M 1925 24 290.515 - 1070 +.004 S 1926 24 642.740 - 539 -.010 Ma 1940 29 770.450 + 7191 +.009 Bp 1950 33 421.512 +12695 -.004 1952 34 121.342: +13750 -.007: 1953 34 487.507 +14302 -.011 RS 1953 34 508.735 +14334 -.010 Bp 1955 35 224.493 +15413 -.006 1956 35 603.275: +15984 +.003: Var 25 The O-C diagram suggests a varying light curve while the differences in the amplitudes obtained by different observers considering the Delta m_x - Delta m_Bp relations may be negligible. Belserene's observations are well satisfied with the period 0.4799021d, while since Larink's observations the period 0.4800510d can be considered as correct. Hence no doubt exists about an increase of the period by more than 0.0001d ~~ 7m between 1900 and 1921. The measuring of Mt. Wilson plates between 1912 to 1915 would be of prime importance. The star is a typical RRab variable, a rapid increase of brightness is followed by a slow decrease. The residuals were computed with the formula: C = 2425000.336 + O.4800510d E. Note: Between 1895 and 1900 the following ephemeris was used: C = 2415160.729 + 0.4799021d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 399.469: - 3670 -.019d: 1896 13 721.508: - 2999 +.005: 1897 14 079.515: - 2253 +.005: 1898 14 437.522: - 1507 +.005: 1900 15 160.729 0 .000 L 1921 22 760.428 - 4666 +.010 M 1925 24 311.465 - 1435 +.002 S 1926 24 642.700 - 745 +.002 Ma 1940 29 770.119 + 9936 -.004 Bp 1940 29 775.396 + 9947 -.007 1941 30 052.394: +10524 +.001: 1950 33 420.447 +17540 +.016 1952 34 118.442 +18994 +.017 RS 1953 34 483.762 +19755 +.018 Bp 1955 35 224.489 +21298 +.027 1956 35 600.372 +22081 +.030 1957 35 920.568 +22748 +.032 1960 37 018.460 +25035 +.047 Var 26 A hump can be suggested in the rising branch. In the O-C diagram a negative parabola was drawn but it can not be considered as real with certainty. In spite of its long period the star has a rather large amplitude. According to the (B-V)-period relation (Figure 9) the star belongs to the long period sequence. The (O-C)-s were computed with the data: C = 2425000.571 + 0.5977452d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 384.549: -19433 -.040d: 1897 14 078.564 -18272 -.007: 1899 14 839.472: -16999 -.028: L 1921 22 761.412 - 3746 -.005 M 1925 J. D. 2424 290.450 - 1188 .000d G 1926 24 683.767 - 530 +.001 Ma 1940 29 770.586 + 7980 +.008 Bp 1941 30 078.415 + 8495 -.001 1950 33 390.517 +14036 -.006 1951 33 763.504 +14660 -.012 1952 34 121.561 +15259 -.004 RS 1953 34 483.783 +15865 -.016 Bp 1953 34 487.375 +15871 -.010 1955 35 224.395: +17104 -.010: 1956 35 600.374 +17733 -.013 Var 27 Larink's observations suggest varying light curve. Strong variations in the ascending branch and not very large differences in the height of maxima can be detected, but the oscillations in the residuals O-C for the maxima may be considerable (J. D. 242 2730; 756; 760; 840). Budapest observations in 1941 seem to confirm variations of the same character (J. D. 243 0052; 078). The material of other observers is unfortunately insufficient to decide this question with certainty. The negative parabola seems to be a good fitting of the residuals O-C for the interval following J. D. 2426000. The residuals were computed utilizing the formula: C = 2425000.502 + 0.5790912d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 664.671: -19575 -.121d: 1900 15 161.695: -16990 -.048: L 1921 22 756.535 - 3875 +.011 M 1925 24 290.540 - 1226 +.004 S 1926 24 565.027 - 752 +.002 G 1926 24 683.739 - 547 .000 Bp 1940 29 719.515: + 8149 -.001: Ma 1940 29 770.471 + 8237 -.005 Bp 1941 30 078.547 + 8769 -.006 1950 33 420.451 +14530 -.037 1951 33 763.268: +15132 -.042: 1952 34 120.563 +15749 -.046 RS 1953 34 447.741 +16314 -.055 Bp 1955 35 224.307: +17655 -.050: 1962 37 791.350 +22088 -.118 Var 28 The observational material indicates a strongly varying light curve. This is shown also by our material, although the scatter is considerable, as the star is close to the centre. Because of the large scatter a mean curve is published. The observations of the year 1962 have been omitted. Larink's observations show a large scatter, but in spite of that, differences of about 0.6m can be found in the height of maximum light. Larink's epoch is quite uncertain. Larink and Martin's material shows clearly oscillations in O-C caused by the variations of the light curve. The O-C diagram has cycles of great amplitude. The interval before Larink can not be fitted by a curve. The Mt. Wilson material of 1912 and 1915 is extremely needed. The O-C values have been calculated by the formula: C = 2425000.411 + 0.4706364d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 377.482: -24696 -.092d: 1900 15 160.750 -20907 -.066 L 1921 22 730.475: - 4823 -.057: M 1925 24 287.466 - 1515 +.069 G 1926 24 684.710 - 671 +.096 Bp 1938 28 991.365: + 8480 -.043: Ma 1940 29 770.241 +10135 -.070 Bp 1940 29 775.420 +10146 -.068 1941 30 078.475 +10790 -.103 1950 33 390.536 +17827 +.090 1952 34 121.417 +19380 +.073 1953 34 488.527 +20160 +.086 RS 1953 34 508.759 +20203 +.081 Bp 1955 35 224.572 +21724 +.056 1956 35 603.406 +22529 +.028 1957 35 920.586 +23203 -.001 1960 37 018.602 +25536 +.020 1962 37 791.342 +27178 -.025 Var 31 The star is a difficult object lying close to the centre. This fact gives rise to errors exceeding the average. The O-C values were computed with the formula: C = 2425000.034 + 0.5807216d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 691.617: -19473 -.025d: 1897 14 079.550: -18805 -.014: 1900 15 160.859: -16943 -.009: L 1921 22 733.476 - 3903 -.002 M 1925 24 312.451 - 1184 -.009 G 1996 24 684.701 - 543 -.001 Bp 1940 29 719.545 + 8127 -.013 Ma 1940 29 770.073 + 8214 -.008 Bp 1941 30 078.433 + 8745 -.011 1950 33 420.486 +14500 -.011 1952 34 121.407 +15707 -.021 1953 34 487.260: +16337 -.023: 1956 35 603.405 +18259 -.025 1957 35 920.488: +18805 -.016: 1960 37 018.630 +20696 -.018 1962 37 791.574 +22027 -.015 Var 32 The star lies in a dense region near the centre, therefore the errors exceed the average and the brightness data are systematically higher. Variations of the light curve are possible, but because of the large scatter their reality cannot be assured. The uncertainty of epochs is considerable as well. This uncertainty can be also responsible for the large scatter in the O-C diagram. The (O-C)-s were computed using the formula: C = 2425000.450 + 0.4953518d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 377.506: -23464 -.009d: 1896 13 691.530: -22830 -.038: 1898 14 437.551: -21324 -.017: 1900 15 161.759 -19862 -.014 L 1921 22 760.477 - 4522 +.008 M 1925 24 309.432 - 1395 -.002 G 1926 24 647.751 - 712 -.009 Ma 1940 29 770.180 - 9629 -.012 Bp 1941 30 078.303: +10251 +.002: 1950 33 421.418 +17000 -.013 1952 34 118.380: +18407 -.011: 1953 34 487.418 +19152 -.010 1955 35 223.502 +20638 -.018 1956 35 603.438 +21405 -.017 1957 35 920.472: +22045 -.008: 1960 36 991.397: +24207 -.034: 1962 37 791.412: +25822 -.012: Var 33 The variation of the light curve is clearly seen from the differences in the slope of the ascending branch and in the height of the maximum. The material is insufficient to decide the reality of the oscillations in the O-C diagram. The scatter in the O-C diagram is probable the consequence of the Blashko-effect. The residuals were computed with the formula: C = 2425000.440 + 0.5252237d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 383.503: -22118 -.039d: 1897 14 080.483: -20791 -.031: 1898 14 456.544: -20075 -.030: 1899 14 841.529: -19342 -.034: L 1921 22 761.445 - 4263 +.034 M 1925 24 292.456 - 1348 +.018 G 1926 24 683.701 - 603 -.029 Bp 1940 29 719.553 + 8985 -.022 Ma 1940 29 770.503 + 9082 -.019 Bp 1950 33 422.413 +16035 +.011 1952 34 121.451 +17366 -.024 1953 34 487.514 +18063 -.042 1955 35 227.574 +19472 -.022: 1956 35 600.473 +20182 -.032 1957 35 933.460 +20816 -.037 1960 37 018.560 +22882 -.049 1962 37 757.580: +24289 -.018: Var 34 The light curve varies. The differences in the height of maximum amounts - according to Budapest observations - to 0.4m. The time oscillation of the maximum amounts in Greenstein's material at least to 0.7h. The O-C diagram is rather complicated. The residuals were computed by the formula: C = 2425000.498 + 0.5591012d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 383.495: -20778 +.002d: 1896 13 691.557: -20227 -.001: 1897 14 079.574 -19533 .000 1899 14 840.501: -18172 -.010: 1900 15 160.893 -17599 +.017 L 1921 22 733.491 - 4055 +.148 M 1925 24 313.496 - 1229 +.133 G 1926 24 647.774 - 631 +.069 24 684.704 - 565 +.098 Bp 1938 28 991.390 + 7138 +.028 1939 29 346.375 + 7773 -.017 Ma 1940 29 770.192: + 8531 +.002: Bp 1950 33 421.524 +15062 -.156 1952 34 121.529 +16314 -.146 RS 1953 34 483.773 +16962 -.200 Bp 1955 35 223.563 +18285 -.100 1956 35 600.507 +18959 +.007 1960 37 057.513: +21565 -.002: 1962 37 757.552 +22817 +.042: Var 35 The light curve varies considerably. The differences in the height of maximum exceed 015 and in the O-C values 2h, respectively. The O-C of the maxima show the smallest oscillation - about 1h - according to Kukarkin's observations. It can be expected - also on the ground of the period-amplitude diagram - that the brightness of highest maximum exceeds 15.04m, observed in Budapest. The pronounced decrease of the period lasted till J. D. 2430000. As the secondary period can not be determined, the time-oscillations arising from the beat phenomena can not be eliminated in the O-C diagram. Therefore the large scatter in the O-C values. The residuals were calculated by the formula: C = 2425000.038 + 0.5306059d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 378.471: -21901 -.767d: 1896 13 691.585: -21311 -.711: 1897 14 071.601 -20595 -.608 1898 14 456.359: -19870 -.540: 1899 14 839.481 -19148 -.515 1900 15 161.612: -18541 -.462: H 1915 20 654.817 - 8189 -.089 L 1921 22 756.615 - 4228 -.021 M 1925 24 289.550 - 1339 -.007 S 1926 J. D. 2424 621.703 - 713 -.013d G 1926 24 647.716 - 664 .000 H 1939 29 400.714 + 8294 -.169 29 408.706 + 8309 -.136 Ma 1940 29 770.01: + 8990 -.175: Be 1946 31 971.780 +13140 -.420 1948 32 683.828 +14482 -.445 32 700.719 +14514 -.533 Bp 1950 33 390.545 +15814 -.495 33 422.438 +15874 -.438 1952 34 121.555 +17192 -.660 K 1953 34 455.368 +17821 -.598 RS 1953 34 482.999 +17873 -.558 Bp 1956 35 600.370 +19979 -.643 K 1956 35 601.399 +19981 -.675 Bp 1957 35 933.543 +20607 -.691 K 1959 36 661.460 +21979 -.765 36 692.306 +22037 -.694 Bp 1960 36 991.449 +22601 -.813 37 018.584 +22652 -.739 K 1960 37 024.376 +22663 -.784 Bp 1962 37 791.542 +24109 -.874 Var 36 The variable has in relation to its period an unusually great amplitude and steep ascending branch. The large cycles superposed on the positive parabola are real. The (O-C)-s were computed by the formula: C = 2425000.018 + 0.5455855d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 372.520 -21312 +.020d H 1912 19 534.900 -10017 +.012 1915 20 625.527: - 8018 +.014: L 1921 22 761.494 - 4103 +.013 M 1925 24 311.497 - 1262 +.008 G 1926 24 684.679: - 578 +.009: Bp 1938 28 991.511 + 7316 -.011 H 1939 29 430.704 + 8121 -.014 Ma 1940 29 770.063 + 8743 -.009 Bp 1940 29 774.427: + 8751 -.010: 1941 30 078.318: + 9308 -.010: Be 1946 31 968.783 +12773 +.001 1948 32 684.585 +14085 -.005: Bp 1950 33 390.587 +15379 +.010 1952 34 120.589 +16717 +.018 1955 35 227.591 +18746 +.027 1956 35 603.501 +19435 +.029 1957 35 933.582 +20040 +.031 1960 36 991.486 +21979 +.044 1962 37 791.322: +23445 +.052: Var 37 The star is a variable of RRc type. The negative parabola represents a rather good approximation for the residuals O-C, but different oscillations may be present around it. The residuals were computed with the formula: C = 2425000.015 + 0.3266390d E. Observer Year t(med)hel. E O-C B 1897 J. D. 2414 077.515: -33439 -.018d: 1899 14 841.516: -31100 -.026: H 1912 19 479.806: -16900 -.010: 1915 20 625.655 -13392 -.011 L 1921 22 761.553 - 6853 -.005 M 1925 24 311.460 - 2108 .000 S 1926 24 620.787 - 1161 .000 G 1926 24 683.828 - 968 .000 Bp 1938 28 991.534: +12220 -.010: 1939 29 408.645 +13497 -.017 Ma 1940 29 770.244 +14604 -.007 Bp 1941 30 052.465 +15468 -.002 Be 1946 31 969.821 +21338 -.017 1948 32 683.853 +23524 -.018 Bp 1950 33 421.400 +25782 -.022 1951 33 763.394 +26829 -.019 1952 34 118.440 +27916 -.029 RS 1953 34 482.966 +29032 -.032 Bp 1953 34 488.519 +29049 -.032 1955 35 223.452 +31299 -.037 1956 35 600.413 +32453 -.017 1957 35 933.579: +33473 -.023 1960 37 057.539 +36914 -.028 1962 37 791.493 +39161 -.032 Var 38 There is a strong variation in the light curve of the star. The differences in the height of the maxima may exceed 0.6m. Also variations in the brightness of the minima are probable. Unfortunately no well observed minimum is available. Kukarkin's observations show oscillations of the O-C values amounting to 0.8h, while Muller's observations give not less than 1.3h for the amplitude of the time shift of the maxima. Considerable variations can be observed also in the slope of the rising branch. C = 2425000.093 + 0.5580276d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 691.581: -20265 -.083d: 1899 14 839.459 -18208 -.067: H 1915 20 625.693 - 7839 -.022 20 626.806 - 7837 -.025 20 654.736 - 7787 +.004 M 1925 24 287.465 - 1277 -.027 24 311.515 - 1234 +.028 S 1926 24 621.750 - 678 .000 G 1926 24 647.948 - 631 -.030 G 1926 J. D. 2424 683.683 - 567 -.008d 24 684.808 - 565 +.001 Sch 1938 28 964.843: + 7104 -.036: H 1939 29 367.764: + 7827 -.011: Ma 1940 29 770.093: + 8548 -.020: Bp 1941 30 052.466 + 9054 -.009 Be 1946 31 968.696 +12488 -.046 Bp 1950 33 390.575 +15036 -.021 1952 34 121.546 +16346 -.066 RS 1953 34 483.698 +16995 -.074 34 507.730 +17038 -.037 K 1955 35 226.456: +18326 -.051: Bp 1955 35 227.570 +18328 -.053 K 1956 35 601.446 +18998 -.055 35 606.465 +19007 -.059 35 614.293 +19021 -.043 35 615.406 +19023 -.046 Bp 1957 35 933.459 +19593 -.069 K 1959 36 658.331 +20892 -.075 36 669.480 +20912 -.086 36 687.313 +20944 -.110 36 692.361 +20953 -.084 Bp 1960 36 991.431: +21489 -.117 K 1960 37 024.386 +21548 -.086 Var 39 The star has a considerably varying light curve, with differences in the height of maxima amounting to at least 0.4m. The oscillations in the O-C values exceed 0.4h (Belserene J. D. 2431968;995). The differences in the depth of the minimum are blurred by the scatter, but apparently low minima are followed by high maxima. The low maxima seem to be double, or the brightness remains constant for a time interval (J. D. 2415160; J. D. 2422761; J. D. 2433763; J. D. 2434121; J. D. 2435223). The scatter resulting from the variations of the light curve is not eliminated in the O-C diagram. The period is approximately constant. The O-C diagram was constructed using the formula: C = 2425000.106 + 0.5870766d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 372.492: -19806 +.025d: 1987 14 077.576: -18605 +.025: 1900 15 160.733 -16760 +.031 H 1912 19 479.862: - 9403 +.037: 1915 20 625.843: - 7451 +.045: L 1921 22 761.564 - 3813 -.019 M 1925 24 311.459 - 1173 -.006 S 1926 24 620.848 - 646 -.007 G 1926 24 684.823 - 537 -.023 Ma 1940 29 770.160 + 8125 +.057 Bp 1940 29 775.422 + 8134 +.035 1941 30 052.512: + 8606 +.025: Be 1946 J. D. 2431 968.704 +11870 -.001d 31 995.726 +11916 +.015 1948 32 683.800 +13088 +.035 Bp 1951 33 763.437 +14927 +.039 1952 34 121.527 +15537 +.012 RS 1953 34 483.781 +16154 +.040 Bp 1955 35 223.466 +17414 +.008 1956 35 600.352: +18056 -.009: 1960 37 057.532: +20538 +.047: 1962 37 791.333: +21788 +.002: Var 40 The hump in the ascending branch is well pronounced. The period is nearly constant. The residuals were computed with the ephemeris: C = 2425000.091 + 0.5515411d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 383.525: -21062 -.007d: 1897 14 074.612 -19809 -.001 1900 15 161.702: -17838 +.001: H 1915 20 625.814 - 7931 -.005 L 1921 22 730.498 - 4115 -.001 M 1925 24 292.464 - 1283 .000 S 1926 24 642.692 - 648 .000 G 1926 24 647.659: - 639 +.003: Bp 1938 28 963.467: + 7186 +.002: H 1939 29 431.726 + 8035 +.002 Ma 1940 29 770.374 + 8649 +.004 Bp 1940 29 775.338: + 8658 +.004: Be 1946 31 978.195 +12652 +.006 1948 32 687.475 +13938 +.004 Bp 1950 33 420.471 +15267 +.002 1951 33 763.527 +15889 -.001 1952 34 121.480 +16538 +.002 RS 1953 34 482.735 +17193 -.002 Bp 1955 35 224.560 +18538 .000 1956 35 603.466 +19225 -.003 1962 37 791.432 +23192 .000 Var 41 The star lies in a dense region near the centre, therefore the scatter is considerable, the mean curve distorted. and the brightness data are uncertain. Bailey's observations are rather uncertain And the epochs derived are very inaccurate. Missing the Mt. Wilson material of 1912 and 1915, the O-C diagram before Larink's observations is not reliable at all. The light curve probably varies, as suggested especially by Larink's maxima, by Muller's flat ascending branches and the complexity of the O-C diagram. Because of the large scatter it is impossible to establish the variation of the light curve with certainty. The residuals have been calculated with the formula: C = 2425000.391 + 0.4850462d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 383.504: -23950 -.031d: 1897 14 077.548: -22519 -.088: 1899 14 841.565: -20944 -.018: L 1921 22 761.518 - 4616 +.100 M 1925 24 287.409 - 1470 +.036 G 1926 24 647.793 - 727 +.031 Ma 1940 29 770.198 + 9834 -.137 Bp 1952 34 118.687: +18799 -.088 1953 34 487.332: +19559 -.078: 1955 35 227.516 +21085 -.074 1956 35 603.434 +21860 -.067 1960 37 018.361: +24777 -.020: 1962 37 791.555 +26371 +.011 Var 42 The star is a difficult object lying near the centre. Therefore, the scatter is considerable and the brightness data systematically higher. In consequence of the considerable observational errors the light curve variation can not be established with certainty, although the complexity of the O-C diagram shows the existence of such variations. The period shows an unusually strong decrease. The residuals were calculated with the formula: C = 2425000.055 + 0.5901852d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 389.525: -19672 -.406d: 1899 14 841.460: -17212 -.327: 1900 15 160.763 -16671 -.315 L 1921 22 761.476 - 3793 -.006 M 1925 24 312.486 - 1165 -.003 S 1926 24 621.746 - 641 .000 G 1926 24 647.715 - 597 +.001 Bp 1938 28 991.411 + 6763 -.067 Ma 1940 29 770.443 + 8083 -.079 Bp 1941 30 078.504 + 8605 -.095 1950 33 390.497: +14217 -.221: 1951 33 763.484 +14849 -.231 1952 34 120.525 +15454 -.252 1955 35 223.516 +17323 -.317 1957 35 933.467 +18526 -.359 1962 37 791.245: +21674 -.484: Var 43 The star is near the centre and has a close companion, therefore the scatter is considerable. The light curve is strongly variable, the maxima indicate differences amounting to 0.6m - 0.7m. Before J. D. 2433000 the observations are satisfied by the period 0.5405d, afterwards by 0.5403d. The author had the opportunity to estimate the brightness of the star on Moscow plates. Basing on these estimates the following O-C values have been obtained: for 1953 O-C = +0.320d, for 1959 O-C = -0.07d, for 1960 the O-C lies within the interval (-0.45d;-0.36d) or within (-0.09d; -0.18d). Budapest material provides the O-C interval (-0.172d; -0.372d) for 1960. The O-C diagram is of complicated structure. The curve drawn in Fig. 40 seems to be the most probable one, but the point for 1962 should be perhaps shifted by 1P downwards. The (O-C)-s were computed with the formula: C = 2425000.441 + O.5404790d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 384.502: -21491 -.505d: 1896 13 692.561: -20921 -.519: 1897 14 079.583: -20205 -.480: 1900 15 161.695: -18203 -.407: L 1921 22 760.639 - 4144 -.057 M 1925 24 292.404 - 1310 -.010 G 1926 24 683.715 - 586 -.005 Bp 1938 28 991.502: + 7384 +.164: Ma 1940 29 770.382 + 8825 +.214 Bp 1941 30 078.469 + 9395 +.228 1950 33 421.445 +15580 +.341 1952 34 122.427 +16877 +.322 1956 35 600.497 +19612 +.182 1962 37 791.561 +23667 -.396 Var 44 The star has a varying light curve, the maxima indicating differences of 0.6m. The O-C shows a complex structure with sudden variations. It is difficult to decide whether the scatter in the diagram is the consequence of accidental variations in the period or that of the variations of the light curve. The O-C diagram was constructed using the ephemeris: C = 2425000.080 + 0.5063961d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 372.501: -22962 +.288d: 1896 13 664.683: -22385 +.280: 1899 14 841.554 -20061 +.286 H 1912 19 479.966 -10901 +.110 1915 20 625.754 - 8638 -.076 L 1921 22 756.566 - 4430 -.179 M 1925 24 284.525 - 1413 -.017 Bp 1938 28 991.535 + 7882 +.041 H 1939 29 400.716 + 8690 +.054 29 431.622 + 8751 +.070 Bp 1940 29 775.443 + 9430 +.048 1941 30 052.442: + 9977 +.048: Be 1946 31 973.700 +13771 +.039 1948 32 683.697 +15173 +.069 Bp 1950 33 420.521 +16628 +.087 1952 34 118.358 +18006 +.110 RS 1953 34 482.934 +18726 +.081 Bp 1953 34 487.485: +18735 +.074: 1960 37 018.447: +23733 +.068: Var 45 The Budapest material is rather poor. According to Larink's (J. D. 2422729; 756) and Belserene's observations light curve variation may occur. The residuals were computed with the formula: C = 2425000.110 + 0.5368966d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 372.573: -21657 +.033d: 1896 13 692.543: -21061 +.012: 1897 14 071.597 -20355 +.017 1898 14 456.553 -19638 +.018 1899 14 841.469: -18921 -.020: H 1912 19 479.224: -10283 +.022: 1915 20 656.594: - 8090 -.023: L 1921 22 729.553 - 4229 -.021 M 1925 24 291.402 - 1320 -.004 G 1926 24 647.905 - 656 -.001 H 1939 29 431.648 + 8254 -.007 Ma 1940 29 770.427 + 8885 -.009 Bp 1940 29 775.257: + 8894 -.011: 1941 30 052.295: + 9410 -.012: Be 1946 31 993.719 +13026 -.006 1948 32 684.705: +14313 -.006: Bp 1950 33 422.414 +15687 +.007 1951 33 763.337: +16322 +.001: 1952 34 121.454 +16989 +.008 RS 1953 34 482.767 +17662 -.011 Bp 1955 35 227.461: +19049 +.008: 1956 35 603.286: +19749 +.006: 1957 35 933.476 +20364 +.004 1960 37 018.544 +22385 +.004 Var 46 The star is near the centre, therefore the brightness data are systematically higher. Unfortunately no observations were obtained since 1955 in the ascending branch or maximum. The (O-C)-s were calculated with the formula: C = 2425000.434 + 0.6133669d E. Observer Year t(med)hel. E O-C B 1897 J. D. 2414 077.636: -17808 +.040d: 1899 14 839.464: -16566 +.066: 1900 15 160.834: -16042 +.032: L 1921 22 761.024 - 3651 -.007 M 1925 24 286.496 - 1164 +.021 24 291.381 - 1156 -.001 G 1926 24 647.746 - 575 -.002 Ma 1940 29 770.608 + 7777 +.020 Bp 1941 30 078.504 + 8279 +.005 1950 33 421.377 +13729 +.029 1952 34 121.235: +14870 +.035: RS 1953 34 483.743 +15461 +.043 Bp 1953 34 487.426 +15467 +.046 1955 35 223.463 +16667 +.043 Var 47 The light curve is subjected to strong variations, the maxima indicate differences amounting to 0.7m Unfortunately the star was not measured by Hett, Belserene, Roberts and Sandage, therefore, the O-C diagram is rather uncertain. As the star lies in a dense region, the brightness values measured in the minima are systematically too high. The normal points do not give the true shape of the maxima. The residuals were computed with the formula: C = 2425000.456 + 0.5409923d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 691.501: -20904 -.052d: 1897 14 067.536: -20209 -.007: 1898 14 456.532: -19490 +.016: L 1921 22 756.394: - 4148 -.026: M 1925 24 287.395 - 1318 -.033 S 1926 24 621.722 - 700 -.039 G 1926 24 647.696 - 652 -.033 Bp 1938 28 991.381: + 7377 +.025: Ma 1940 29 770.435 + 8817 +.050 Bp 1950 33 420.462 +15564 +.002 1951 33 763.429 +16198 -.020 1952 34 121.538 +16860 -.048 1955 35 223.547 +18897 -.040 1960 37 018.558 +22215 -.042 1962 37 757.586: +23581 -.009: Var 48 Light curve changes are possible, e.g. the slopes of the ascending branches on J. D. 2434118 and J. D. 2435223 respectively, are different. This may be the cause of the scatter around the positive parabola in the O-C diagram. The diagram was constructed using the ephemeris: C = 2425000.095 + 0.6278128d E. Observer Year t(med)hel. E O-C B 1897 J. D. 2414 080.595: -17393 +.048d: L 1921 22 730.544: - 3615 -.008: M 1925 24 287.535 - 1135 +.008 G 1926 24 647.875 - 561 -.017 Bp 1938 28 963.492: + 6313 +.015: Ma 1940 29 770.247 + 7598 +.030 Bp 1940 29 775.251: + 7606 +.012: 1941 30 078.491 + 8089 +.018 1950 33 420.346: +13412 +.026: 1952 34 118.472 +14524 +.024 RS 1953 34 507.722 +15144 +.030 Bp 1955 35 223.431 +16284 +.032 1956 35 603.261: +16889 +.036: 1957 35 933.500: +17415 +.045: 1960 37 058.548: +19207 +.053: 1962 37 791.222: +20374 +.069: Var 49 The light curve is subjected to strong variations amounting to. 0.7m in the maxima. Larink obtained low, while Muller high maxima. The amplitude of the O-C oscillations amounts to 0.25h. The residuals were computed with the formula: C = 2425000.508 + 0.5482196d E. Observer Year t(med)hel. E O-C B 1898 J. D. 2414 456.546: -19233 -.054d: L 1921 22 761.591 - 4084 +.012 M 1925 24 284.533 - 1306 .000 24 289.454 - 1297 -.013 G 1926 24 684.731 - 576 -.003 Ma 1940 29 770.007 + 8700 -.012 Bp 1940 29 774.392 + 8708 -.012 1952 34 118.457 +16632 -.039 1953 34 487.404 +17305 -.044 1957 35 933.586 +19943 -.065 1960 37 018.507 +21922 -.071 1962 37 791.482 +23332 -.086 Var 50 The light curve is subjected to strong variations. The differences in the height of maxima amount to 0.65m at least. Variations in the depth of minima amounting to several decimals of the magnitude may be considered as certain as well. The amplitude of the O-C variations during the secondary period amounts to 1h at least. The O-C diagram of the star is of a very complex structure, the period shows several strong sudden changes. The residuals were calculated with the formula: C = 2425000.357 + 0.5130879d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 384.522 -22639 -.038d 1896 13 664.687 -22093 -.019: 1897 14 073.619: -21296 -.018: 1915 20 625.789 - 8526 +.019 1921 22 733.462 - 4418 -.073 22 756.584 - 4373 -.040 M 1925 24 298.518: - 1368 +.065: G 1926 24 684.807 - 615 -.001 Bp 1938 28 963.480: + 7724 +.032 H 1939 29 400.666: + 8576 +.067: Ma 1940 29 770.040 + 9296 +.018 Bp 1941 30 078.418 + 9897 +.030 Be 1946 31 971.737 +13587 +.055 1948 32 683.833: +14975 -.015: Bp 1952 34 121.493 +17777 -.028 RS 1953 34 483.699 +18483 -.062 Bp 1957 35 920.430: +21283 +.023: 1960 37 018.444: +23423 +.029: Var 51 The rate of the decrease of the period is diminishing. On the rising branch a hump is indicated (mainly by Belserene's and Roberts and Sandage's observations). The (O-C)-s were calculated using the formula: C = 2425000.571 + 0.5839818d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 377.520: -19903 -.061d: 1899 14 841.567: -17396 -.057: L 1921 22 760.419 - 3836 +.002 M 1925 24 290.443 - 1216 -.006 G 1926 24 647.848 - 604 +.002 H 1939 29 423.633 + 7574 -.016 Ma 1940 29 770.517 + 8168 -.017 Bp 1941 30 078.275: + 8695 -.018: Be 1946 31 993.723 +11976 -.030 1948 32 682.817 +13155 -.035 Bp 1950 33 421.553: +14420 -.036: 1952 34 120.575 +15617 -.940 RS 1953 34 483.799 +16239 -.052 Bp 1953 34 487.310: +16245 -.045: 1956 35 600.371 +18151 -.054 1960 36 991.408 +20533 -.061: 1962 37 791.448 +21903 -.076 Var 52 The light curve is variable. In the Budapest material the maxima do not indicate great differences in height (only about 0.3m) but the differences are much greater according to other observers (Muller's maxima are very high). The minima show variations of about 0.1m. The oscillations in O-C produced by the variations of the light curve are insignificant. The O-C diagram is very complicated and its course is quite uncertain before Larink's observations. A shift of 1P is possible between Baker's and Larink's material. Hett, Belserene and Roberts and Sandage's observations and especially the Mt. Wilson material are badly lacking. The O-C diagram was constructed using the formula: C = 2425000.073 + 0.5162250d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 384.528 -22501 +.036d 1897 14 071.614 -21170 +.024 1900 15 160.835 -19060 +.010 L 1921 22 756.625: - 4346 +.066: M 1925 24 313.497 - 1330 +.003 S 1926 24 642.853 - 692 +.008 G 1926 24 684.661: - 611 +.001: Bp 1938 28 991.453 - 7732 -.072 Ma 1940 29 770.319: + 9241 -.189: Bp 1941 30 078.502 + 9838 -.193 1951 33 763.495 +16976 -.014 1952 34 126.425: +17679 +.010: 1955 35 227.571 +19812 +.048 1956 35 603.428 +20540 +.093 Var 53 The star is situated rather close to the centre, the magnitudes obtained are systematically high. The positive parabola represents a good approximation for the O-C values. The diagram was constructed using the formula: C = 2425000.118 + 0.5048878d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 372.514: -23030 -.038d: 1896 13 694.642: -22392 -.028: 1900 15 161.846 -19486 -.028 L 1921 22 760.431 - 4436 -.005 M 1925 24 309.431 - 1368 .000 G 1926 24 647.705 - 698 -.001 Ma 1940 29 770.294 + 9448 -.005 Bp 1940 29 775.330: + 9458 -.018: 1941 30 078.273: +10058 -.007: 1951 33 763.437 +17357 -.020 1952 34 118.369 +18060 -.024 1953 34 487.443 +18791 -.023 1955 35 224.577 +20251 -.025 1956 35 603.240: +21001 -.028: 1957 35 933.432 +21655 -.032 1960 37 018.433: +23804 -.035: 1962 37 791.412 +25335 -.039 Var 54 The star lies near the centre in a rather dense region. Therefore the scatter is considerably higher than usually. In spite of this fact the variation of the light curve can be established with certainty. The differences in the heights of maxima amount only to about 0.2m, hence normal points were formed along the entire light curve. The differences in the residuals O-C arising from light curve variations have an amplitude of about 0.25h, but if Muller's plates taken on J. D. 2424289 are correctly estimated, these differences may amount to 1.5h as well. The period is subjected to rather strong variations, and the period given by the author seems to fit the observations to the best. The O-C diagram, especially before Larink's observations is, rather uncertain. The different groups of points may be shifted upwards or downwards by a multiple of the period. The measurement of Mt. Wilson plates of 1912, 1915, 1946 and 1948 would be of great importance. Using the Budapest material the following limits can be fixed for the O-C values: in 1939 (-0.039d; +0.011d); in 1950 (-0.074d; -0.027d), in 1953 (+0.078d; +0.234d) and in 1957 (+0.359d; +0.429d). The residuals were computed with the formula: C = 2425000.125 + 0.5063150d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 372.498 -22966 +.403d 1896 13 694.472: -22330 +.361: 1897 14 071.635 -21585 +.319 1898 14 456.367: -20825 +.252: 1900 15 161.543: -19432 +.131 L 1921 J. D. 2422 761.486 - 4421 -.220d M 1925 24 284.527 - 1413 -.175 S 1926 24 621.855 - 747 -.053 G 1926 24 647.679 - 696 -.051 Bp 1938 28 991.409: + 7883 +.003: 1940 29 775.178: + 9431 -.003: M 1940 29 780.245 + 9441 .000 29 781.270 + 9443 +.012 Bp 1941 30 078.478 +10030 +.014 1951 33 763.360: +17308 -.065: 1952 34 121.405 +18015 +.015 1955 35 223.419 +20191 +.288 1956 35 603.242 +20941 +.375 1960 36 991.510: +23683 +.327: 1962 37 791.400: +25263 +.239: Var 55 The star is a well measurable RRab variable. The O-C diagram can be represented by a positive parabola. The residuals were calculated by the formula: C = 2425000.122 + 0.5298132d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 383.486: -21926 +.048d: 1897 14 078.593 -20614 +.040 L 1921 22 760.605 - 4227 +.003 M 1925 24 313.484 - 1296 .000 S 1926 24 620.776 - 716 .000 G 1926 24 647.796 - 665 .000 H 1939 29 408.707 + 8321 +.009 Ma 1940 29 770.040 + 9003 +.010 Bp 1940 29 775.340: + 9013 +.012: 1941 30 078.396: + 9585 +.014: Be 1946 31 968.778 +13153 +.023 Bp 1950 33 420.470 +15893 +.027 1951 33 763.267: +16540 +.035: 1952 34 121.419 +17216 +.033 RS 1953 34 482.749 +17898 +.030 Bp 1953 34 487.517 +17907 +.030 1955 35 224.494 +19298 +.037 1956 35 603.312: +20013 +.038: 1957 35 933.387: +20636 +.040: 1960 37 018.453: +22684 +.048: 1962 37 791.458 +24143 +.056 Var 56 The star is an RRc variable. In the O-C diagram several oscillations can be established with certainty although the period seems to be rather stable. The normal points do not give a smooth light curve at the maximum. This can arise from the inaccuracy of the measurements, but a double maximum is also possible. The O-C values were calculated with the formula: C = 2425000.211 + 0.3295986d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 383.497: -35245 -.011d: 1897 14 077.633: -33139 -.010: H 1915 20 625.769 -13272 -.009 L 1921 22 761.582 - 6792 +.005 M 1925 24 309.385: - 2096 +.013: S 1926 24 620.843 - 1151 .000 G 1926 24 683.800 - 960 +.004 Sch 1938 28 983.745: +12086 +.005: H 1939 29 431.671 +13445 +.007 Ma 1940 29 770.153 +14472 -.009 Bp 1940 29 775.429: +14488 -.007: Be 1946 31 974.842 +21161 -.005 1948 32 682.820: +23309 -.005: Bp 1950 33 422.444 +25553 .000 1952 34 120.523 +27671 -.011 RS 1953 34 447.812 +28664 -.013 Bp 1953 34 487.360: +28784 -.017: 1955 35 223.360: +31017 -.011: 1956 35 600.422 +32161 -.010 1957 35 920.458 +33132 -.014 1960 37 057.572: +36582 -.015: 1962 37 791.588: +38809 -.015: Var 57 Unfortunately the Budapest material contains only a few ascending branches, therefore difficulties arise in constructing a reliable mean curve. The poor material does not enable us to reveal variations of the light curve, but Greenstein's ascending branches show obviously different slopes. The decrease of the period is very pronounced. The O-C diagram was constructed with the formula: C = 2425000.328 + 0.5122223d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 664.669: -22130 -.180d: 1897 14 077.532 -21324 -.168 L 1921 22 729.641 - 4433 -.006 M 1925 24 292.433 - 1382 -.003 G 1926 24 683.774 - 618 -.001 Bp 1938 28 991.534 + 7792 -.030 Ma 1940 29 770.117 + 9312 -.025 Bp 1940 29 775.237: + 9322 -.027: 1941 30 078.460 + 9914 -.040 1950 33 390.432: +16380 -.097: 1951 33 763.323: +17108 -.104: 1952 34 122.380: +17809 -.115: RS 1953 34 482.975 +18513 -.124 Bp 1956 35 603.184: +20700 -.146: 1957 35 933.542: +21345 -.171: 1960 37 018.380: +23463 -.220: 1962 37 791.309: +24972 -.234: Var 58 Although Baker's observations are rather poor, they suggest definitely a period of about 0.5167d. The O-C diagram is discontinuous between Baker's and Larink's material. The Mt. Wilson plates of 1912 and 1915, would be of great importance. After J. D. 2422700 the decrease of the period is slowing down. It is not possible to approximate the O-C diagram with a parabola for the 40 year interval from J. D. 2422700 to J. D. 2437800. The star is situated in a dense region with close neighbours, in the inner part of the cluster. Variations of the light curve, indicated by the complexity of the O-C diagram, could not be observed. The O-C diagram was constructed with the formula: C = 2425000.179 + 0.5170617d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 399.511: -22437 +.645d: 1896 13 694.524: -21866 +.416: 1897 14 036.592: -21204 +.189: 1898 14 437.537: -20428 -.106: 1899 14 840.543: -19648 -.408: 1921 22 761.644 - 4329 -.175 M 1925 24 313.472 - 1328 -.049 S 1926 24 642.862 - 691 -.027 G 1926 24 683.709 - 612 -.028 Ma 1940 29 770.333 + 9225 +.260 Bp 1941 30 078.510 + 9821 +.268 1950 33 422.460 +16288 +.380 1951 33 763.734: +16948 +.393: 1952 34 121.542 +17640 +.395 1953 34 488.667 +18350 +.406 1955 35 227.562 +19779 +.420 1956 35 603.470 +20506 +.424 1960 37 058.503: +23320 +.445: 1962 37 757.571: +24672 +.446: Var 59 Larink's observations suggest variations in the light curve. There are conspicuous differences in the height of maxima and in the O-C residuals of the median point on the rising branch. The other observations contain only few rising branches and maxima. The rate of period increase gets higher. The residuals were computed with the formula: C = 2425000.325 + 0.5888053d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 693.545: -19203 +.048d: 1899 14 840.532: -17255 +.042: 1900 15 160.855 -16711 +.055 1915 20 656.726: - 7377 +.018: 1921 22 730.502 - 3855 +.021 22 760.518 - 3804 +.008 M 1925 24 298.471 - 1192 +.002 S 1926 24 621.724 - 643 +.001 G 1926 24 684.725 - 536 .000 H 1939 J. D. 2429 431.678 + 7526 +.004d Ma 1940 29 770.242 + 8101 +.005 Bp 1941 30 052.293: + 8580 +.019: Be 1946 31 994.764 +11879 +.021 1948 32 684.847 +13051 +.024 Bp 1950 33 421.457 +14302 +.039 1952 34 121.546 +15491 +.038 RS 1953 34 507.803 +16147 +.039 Bp 1955 35 224.406: +17364 +.066: 1957 35 920.374: +18546 +.066: 1960 37 018.509 +20411 +.079 1962 37 757.459: +21666 +.078: Var 60 This variable has flat, badly defined ascending branches and this gives rise to scatter in the O-C diagram. The characteristics of the light curve are like those of RRab stars with a period shorter by about 0.1d. (The star belongs to the long period sequence.) The O-C values were computed using the formula: C = 2425000.211 + O.7077228d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 691.544: -15979 +.036d: 1899 14 841.570: -14354 +.012: 1900 15 160.759: -13903 +.018: L 1921 22 730.546 - 3207 +.002 M 1925 24 309.478 - 976 +.004 S 1926 24 620.872 - 536 .000 G 1926 24 647.754 - 498 -.011 Bp 1938 28 963.454: + 5600 -.005: Ma 1940 29 770.276 + 6740 +.013 Bp 1950 33 421.418 +11899 +.013 1952 34 118.522 +12884 +.010 RS 1953 34 482.982 +13399 -.007 Bp 1953 34 487.251: +13405 +.016: 1955 35 227.540: +14451 +.027: 1956 35 600.503: +14978 +.020: Var 61 The light curve varies with certainty, the height of maximum indicates differences amounting to 0.5m at least. Larink's material shows phase shifts amounting to 0.5h for the middle of the ascending branch, while the minimum remains fixed. Muller's material shows even stronger phase shifts. The O-C diagram is rather complicated, being a superposition of waves of different size. The diagram was constructed with the formula: C = 2425000.025 + 0.5209312d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 378.507: -22309 -.064d: 1896 13 692.640: -21706 -.052: 1897 14 077.606: -20967 -.055: B 1898 J. D. 2414 437.566: -20276 -.058d: 1900 15 161.631: -18886 -.087: H 1912 19 534.928 -10491 -.008 1915 20 625.755 - 8397 -.011 L 1921 22 760.575 - 4299 +.033 M 1925 24 289.529 - 1364 +.054 G 1926 24 647.943 - 676 +.067 Sch 1938 28 964.827: + 7611 -.005: H 1939 29 408.653 + 8463 -.013 Ma 1940 29 770.194 + 9157 +.002 Bp 1940 29 775.397 + 9167 -.004 Be 1946 31 973.682: +13387 -.049: 1948 32 683.705 +14750 -.055 Bp 1950 33 422.410 +16168 -.031 1952 34 121.490 +17510 -.040 1953 34 567.383: +18366 -.064: 1956 35 600.425 +20349 -.029 1962 37 791.424 +24555 -.067 Var 62 Variations may occur in the light curve. A long constant phase seems to be present on the ascending branch (e.g. an interval of about 1h observed in Budapest on J. D. 2435603). The residuals were calculated by the formula: C = 2425000.440 + 0.6524077d E. Observer Year t(med)hel. E O-C B 1900 J. D. 2415 160.855: -15082 +.028: H 1915 20 654.751 - 6661 -.001 L 1921 22 761.386: - 3432 +.009: M 1925 24 311.495 - 1056 -.002 G 1926 24 684.691 - 484 +.016 Bp 1938 28 991.213: + 6117 -.005: H 1939 29 408.759 + 6757 .000 Ma 1940 29 770.196 + 7311 +.003 Bp 1940 29 775.416 + 7319 +.004 Be 1946 31 970.771 +10684 +.007 1948 32 683.856 +11777 +.011 Bp 1950 33 420.445: +12906 +.031: 1952 34 120.469 +13979 +.022 RS 1953 34 508.647: +14574 +.017: Bp 1956 35 603.393 +16252 +.023 1957 35 933.510: +16758 +.022: 1960 37 018.475 +18421 +.033 Var 63 The variable has a varying light curve with differences of about 0.4m at maximum. The (O-C)-s do not exhibit large differences from epoch to epoch and therefore the scatter in the O-C diagram is not considerable. Muller's material shows phase-shifts of 0.5h at most in the course of the secondary period. The negative parabola is a relatively suitable fitting for the O-C diagram, which was constructed using the formula: C = 2425000.547 + 0.5704164d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 384.515 -20364 -.072d 1900 15 160.806 -17250 -.058 H 1912 19 534.801: - 9582 -.016: 1915 20 656.816: - 7615 -.010: L 1921 22 760.519 - 3927 -.003 M 1925 24 287.519 - 1250 -.008 24 311.492 - 1208 +.008 Sch 1938 28 983.766: + 6983 +.001: H 1939 29 408.712 + 7728 -.013 Ma 1940 29 770.356 + 8362 -.013 Be 1946 31 968.719 +12216 -.035 1948 32 682.872: +13468 -.043: Bp 1950 33 420.429 +14761 -.034 1952 34 121.462 +15990 -.043 RS 1953 34 507.608 +16667 -.069 Bp 1955 35 223.495 +17922 -.055 1956 35 603.386 +18588 -.061 1957 35 920.525 +19144 -.074 1960 37 018.571 +21069 -.079 1962 37 791.472 +22424 -.092 Var 64 From the Budapest material and Belserene's and Roberts and Sandage's observations the existence of a constant phase on the ascending branch is clearly established. The period is rather stable, the O-C diagram is a straight line. The O-C values have been obtained with the formula: C = 2425000.447 + 0.6054588d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 383.502: -19187 -.007d: 1900 15 161.748 -16250 +.006 H 1912 19 479.869 - 9118 -.006 L 1921 22 761.466 - 3698 +.006 M 1925 24 311.436 - 1138 +.001 G 1926 24 683.788 - 523 -.004 Sch 1938 28 983.761: + 6579 +.001: H 1939 29 367.628: + 7213 +.007: Ma 1940 29 770.269 + 7878 +.018 Bp 1941 30 078.424 + 8387 -.006 Be 1946 31 968.673 +11509 +.001 1948 32 700.677 +12718 +.005 Bp 1950 33 422.378 +13910 -.001 1952 34 120.478 +15063 +.005 RS 1953 34 483.742 +15663 -.006 Bp 1953 34 487.378 +15669 -.003 1957 35 920.497 +18036 -.005 1960 37 057.562 +19914 +.008 1962 37 791.368 +21126 -.002 Var 65 Apparently there are differences in the slopes of the ascending branches. The characteristics of the light curve are similar to those of RRab stars with periods shorter by about 0.1d. (The star belongs to the long period sequence.) The residuals O-C were computed with the formula: C = 2425000.438 + 0.6683397d E. Observer Year t(med)hel. E O-C B 1900 J. D. 2415 161.815 -14721 +.006d H 1912 19 479.977 - 8260 +.025 1915 20 626.830: - 6544 +.007: L 1921 22 761.507 - 3350 +.007 M 1925 24 309.381: - 1034 +.006: G 1926 24 683.642: - 474 -.003: Sch 1938 28 983.737: + 5960 -.006: H 1939 29 400.777 + 6584 -.010 Ma 1940 29 770.378 + 7137 .000 Bp 1940 29 774.390 + 7143 +.002 1941 30 078.476 + 7598 -.007 Be 1946 31 994.605: +10465 -.008: 1948 32 683.669: +11496 -.002: Bp 1950 33 421.514 +12600 -.004 1952 34 121.266: +13647 -.004: 1953 34 487.516 +14195 -.004: RS 1953 34 508.902: +14227 -.005: Bp 1955 35 223.361: +15296 -.001: 1956 35 600.309: +15860 +.003: 1957 35 920.442 +16339 +.002 1960 37 018.531 +17982 +.009 1962 37 791.136: +19138 +.013: Var 66 The star has a varying light curve with differences of 0.3m in the height of the maximum. The O-C diagram exhibits abrupt variations and great cycles. Prior to Larink's observations it is quite uncertain. Baker's values may be shifted by 1P or 2P downwards. The unmeasured Mt. Wilson plates of 1912 and 1915 represent a considerable want. The (O-C)-s were constructed by the formula: C = 2425000.050 + 0.6201827d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 384.481: -18729 -.167d: 1897 14 078.500: -17610 -.133: 1899 14 839.531: -16383 -.066: 1900 15 160.843 -15865 -.008 L 1921 22 760.548 - 3611 -.022 M 1925 24 287.483 - 1149 +.023 S 1926 24 621.761 - 610 +.022 G 1926 24 683.784 - 510 +.027 Ma 1940 29 770.514 + 7692 +.019 Bp 1940 29 775.465: + 7700 +.008. 1950 33 421.468 +13579 -.043 1951 33 763.178: +14130 -.054: Bp 1952 J. D. 2434 118.535 +14703 -.061d RS 1953 34 483.878 +15292 -.006 Bp 1955 35 224.441 +16486 +.059 1956 35 603.368 +17097 +.054 1960 37 018.674: +19379 +.103: 1962 37 791.401 +20625 +.083 Var 67 The star has a strongly variable light curve. The differences in the height of maximum amount to 0.5m at least, those of the minimum to about 0.1m-0.2m.The medium point of the ascending branch shows little phase-shifts in the course of the light curve variations. Therefore, in spite of the considerable variations of the light curve, the scatter in the O-C diagram is very small. The diagram was constructed with the formula: C = 2425000.199 + 0.5683609d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 664.642: -19944 -.167d: 1897 14 079.559: -19214 -.154: 1900 15 161.750 -17310 -.122 L 1921 22 761.417 - 3939 -.008 M 1925 24 312.483 - 1210 +.001 S 1926 24 642.698 - 629 -.002 G 1926 24 647.814 - 620 -.001 Ma 1940 29 770.433 + 8393 -.019 Bp 1940 29 744.399 + 8400 -.032 1941 30 078.469 + 8935 -.035 Be 1946 31 968.813 +12261 -.059 1948 32 683.804 +13519 -.066 Bp 1950 33 421.515 +14817 -.087 1952 34 120.581 +16047 -.105 RS 1953 34 483.756 +16686 -.113 Bp 1956 35 603.398 +18656 -.142 1957 35 920.522 +19214 -.163 1960 37 018.575 +21146 -.184 1962 37 791.522 +22506 -.207 Fig. 14. Var 68 The star is one of the most interesting variables in M3. It is probably of RRc type with such extremely strong light curve variations, that it has no sense to construct normal points even for a limited part of the light curve. The height of maximum varies with an amplitude of 0.7m at least, while differences of the brightness of minimum amount to several decimals of a magnitude. Martin's period seems to be correct, however, it provides large residuals amounting to 0.12d = 3h, i.e. the 1/3 of the period for the median point of the ascending branch. Using Martin's period, a secondary period of 10.9d can be deduced from Muller's well observed ascending branches (Figure 14). In this way the shortest beat period of RR Lyrae variables has been assigned to this star. The shortness of this secondary period gives account of the rapid changes in the light curve. No connection between the observations obtained in different years is possible for improving the secondary period. In the O-C diagram the weighted means of the residuals obtained from our observations are shown. Of course both the fundamental and the secondary period are yet questionable, the observational material being too poor for a final decision. The O-C diagram was computed with the formula: C = 2425000.153 + 0.3559732d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 386.507: -32625 -.020d: 1900 15 161.714: -27638 -.052: L 1921 22 730.510 - 6376 +.042 22 756.448 - 6303 -.006 22 761.408: - 6289 -.030: M 1925 24 287.531: - 2002 +.036: 24 290.409 - 1994 +.067 24 291.426 - 1991 +.016 24 292.462 - 1988 -.016 24 307.430 - 1946 +.001 24 312.470 - 1932 +.057 24 313.491 - 1929 +.010 G 1926 24 647.765: - 990 +.025: 24 684.772 - 886 +.011 Bp 1941 30 078.483 +14266 +.016 1950 33 421.382 +23657 -.029 33 422.419 +23660 -.060 1951 33 763.490 +24618 -.011 1952 34 118.440 +25615 +.033 34 120.503 +25621 -.039 RS 1953 34 447.695: +26540 +.013: 34 507.840 +26709 -.001 Bp 1955 35 227.596 +28731 -.023 1956 35 598.545: +29773 +.002: 35 600.367 +29778 +.044 1957 35 933.505 +30714 -.009 1960 36 991.480 +33686 +.014 37 018.500 +33762 -.020 1962 37 791.300: +35933 -.038: Var 69 The star has a close companion, therefore the measures are uncertain and the scatter is considerable. The light curve outlined by the normal points is probably heavily distorted and the brightness data are not real. The residuals were computed with the formula: C = 2425000.106 + 0.5665878d E. Observer Year t(med)hel. E O-C B 1900 J. D. 2415 160.847 -17366 +.105d L 1921 22 756.431 - 3960 +.013 M 1925 24 309.435 - 1219 .000 G 1926 24 647.688 - 622 .000 Ma 1940 29 770.229 + 8419 +.020 Bp 1941 30 078.457 + 8963 +.025 1950 33 422.511 +14865 +.077 1952 34 120.565: +16097 +.095: 1956 35 600.520 +18709 +.123 1962 37 791.575: +22576 +.183: Var 70 The period is very probably about 0.486d, however its strong variations in both directions make the construction of the O-C diagram and of the mean light curve impossible. The star is probably of RRc type. Var 71 The star lies near var 54. On plates of poor quality they are blurred together providing a considerable scatter. Larink's observations on J. D. 2422760 show peculiar scatter. The O-C diagram consists of several small cycles. It was calculated with the formula: C = 2425000.139 + 0.5490517d E Observer Year t(med)hel. E O-C B 1897 J. D. 2414 079.540: -19890 +.039d: 1900 15 161.698: -17919 +.016: L 1921 22 760.565 - 4079 +.008 M 1925 24 309.437 - 1258 +.005 G 1926 24 647.647: - 642 -.001: Ma 1940 29 770.335 + 8688 +.035 Bp 1941 30 078.358: + 9249 +.040: 1950 33 421.523 +15338 +.029 1952 34 121.564 +16613 +.029 RS 1953 34 447.702 +17207 +.030 Bp 1953 34 567.393: +17425 +.028: 1955 35 223.511 +18620 +.029 1956 35 603.455 +19312 +.030 1960 36 991.461 +21840 +.033 1962 37 791.430 +23297 +.034 Var 72 The star is of RRab type having a large amplitude and a steep ascending branch. The residuals were computed with the formula: C = 2425000.166 + 0.4560739d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 378.519: -25482 +.028d: 1899 14 841.593: -22274 +.017: 1900 15 161.763 -21572 +.023 H 1915 20 654.695: - 9528 -.001: L 1921 22 733.483 - 4970 +.004 M 1925 24 311.491 - 1510 -.003 Sch 1938 28 964.824: + 8693 +.008: H 1939 29 423.633 + 9699 +.006 Bp 1940 29 720.543 +10350 +.012 Ma 1940 29 770.250 +10459 +.007 Bp 1941 30 078.561: +11135 +.012: Be 1946 31 971.726 +15286 +.014 1948 32 682.746 +16845 +.015 Bp 1950 33 422.499 +18467 +.016 1952 34 118.468 +19993 +.017 RS 1953 34 483.780 +20794 +.013 Bp 1953 34 487.434 +20802 +.019 1955 35 223.542 +22416 +.023 1956 35 603.453 +23249 +.025 1960 37 057.424: +26437 +.032: 1962 37 791.248: +28046 +.033: Var 73 The star is a variable of small range, the period is longer than half a day. Var 74 The section of the O-C diagram preceding Muller's observations is uncertain, the Mt. Wilson material of 1912 and 1915 would be of great importance. The O-C diagram was calculated using the formula: C = 2425000.082 + 0.4921441d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 386.514: -23598 +.048d: 1896 13 691.629: -22978 +.034: M 1925 24 290.412 - 1442 +.002 G 1926 24 647.708 - 716 +.001 Ma 1940 29 770.448 + 9693 +.013 Bp 1941 30 078.532 +10319 +.015 1950 33 421.191: +17111 +.031: 1952 34 120.527 +18532 +.031 RS 1953 34 483.728 +19270 +.029 Bp 1953 34 567.397: +19440 +.034: 1955 35 223.426 +20773 +.035 1956 35 600.410 +21539 +.036 1960 37 018.282: +24420 +.041: 1962 37 791.447 +25991 +.048 Var 75 According to Larink's observations the star is of RRc type with varying light curve. There is a difference of 0.37m between the maxima of J. D. 2422729.60 and J. D. 2422761.63 although the scatter is considerable. The faintness of the last maximum is very strange, as the maximum on the preceding day, J. D. 2422760.7 seems to be high. The O-C diagram was constructed with the ephemeris: C = 2425000.032 + 0.3140790d E. Observer Year t(med)hel. E O-C B 1897 J. D. 2414 077.600: -34776 -.021d: 1900 15 161.807: -31324 -.014: L 1921 22 760.647 - 7130 -.002 M 1925 24 290.535 - 2259 +.007 G 1926 24 684.695 - 1004 -.002 Ma 1940 29 770.268 +15188 +.004 Bp 1940 29 775.296: +15204 +.007: 1941 30 078.380: +16169 +.005: 1950 33 420.500 +26810 +.010 1951 33 763.471 +27902 +.007 1952 34 121.520 +29042 +.006 1953 34 487.419 +30207 +.003 RS 1953 34 508.776 +30275 +.002 Bp 1955 35 224.554 +32554 -.006 1956 35 600.497 +33751 -.015 1957 35 920.540 +34770 -.019 1960 37 018.551: +38266 -.028: 1962 37 791.491 +40727 -.036 Var 76 The star is close to the centre, the observations are very uncertain. In spite of that, the errors of the O-C values do not exceed the average, due to the large amplitude and steep rising branch of the light curve. The descending branch is unusually steep. The residuals O-C were computed using the formula: C = 2425000.148 + 0.5017544d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 372.519: -23174 +.027d: 1896 13 691.637: -22538 +.030: 1900 15 161.768 -19608 +.020 G 1926 24 647.916 - 702 .000 Ma 1940 29 770.340 + 9507 +.013 Bp 1941 30 078.414 +10121 +.010 1950 33 390.502 +16722 +.017 1952 34 120.554 +18177 +.016 1953 34 487.338: +18908 +.018: 1955 35 223.409 +20375 +.015 1957 35 933.397: +21790 +.021: 1962 37 791.420 +25493 +.047 Var 77 The star lies near the centre, the scatter is considerable and the observations are systematically too bright. The O-C diagram was constructed with the formula: C = 2425000.162 + 0.4593425d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 692.543: -24617 +.015d: 1898 14 438.521: -22993 +.021: L 1921 22 730.561 - 4941 +.010 M 1925 24 291.399 - 1543 +.002 S 1926 24 642.796 - 778 +.002 G 1926 24 683.675 - 689 .000 Bp 1938 28 991.391: + 8689 +.002: Ma 1940 29 770.441 +10385 +.007 Bp 1941 30 052.480 +10999 +.010 1950 33 390.529 +18266 +.017 1951 33 763.517 +19078 +.019 1952 34 120.436: +19855 +.029: 1953 34 487.443 +20654 +.021 1956 35 600.428 +23077 +.019 1957 35 933.455: +23802 +.023: 1960 37 018.429: +26164 +.030: 1962 37 791.507 +27847 +.034 Var 78 The star is close to the centre, the scatter is significant, and the observations are systematically higher. The flat slope of the ascending branches and the small range increase the uncertainty in determining the epochs. Martin's epoch deviates conspicuously from our O-C diagram. The rate of the period-increase shows a growing tendency during the last 60 years. The O-C diagram was constructed with the formula: C = 2425000.440 + 0.6119254d E. Observer Year t(med)hel. E O-C B 1900 J. D. 2415 160.701: -16080 +.021d: L 1921 22 756.508 - 3667 -.002 M 1925 24 292.454 - 1157 +.012 G 1926 24 684.686 - 516 .000 Bp 1938 28 991.412 + 6522 -.005 Ma 1940 29 770.460: + 7795 +.062: Bp 1950 33 390.560 +13711 +.011 1953 34 567.304: +15634 +.022: 1955 35 227.574 +16713 +.025 1962 37 791.573 +20903 +.056 Var 79 The light curve varies with an amplitude of 0.5m in the maximum light and of about 0.5h in the O-C residuals. No period was found which would have satisfied Baker's observations. The O-C diagram has a discontinuity between J. D. 2424700 and 2429000. The intermediate observations are lacking very much. The O-C diagram computed with the formula: C = 2425000.077 + 0.4833275d E is rather complicated. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 372.554: -24057 -.113d: 1896 13 724.645: -23329 +.115: 1897 14 078.541: -22597 +.216: 1898 14 437.530: -21854 +.092: 1899 14 841.592: -21018 +.092: H 1912 19 534.801 -11308 +.191 1915 20 625.642: - 9051 +.162: L 1921 22 730.528 - 4696 +.157 22 760.478 - 4634 +.141 M 1925 24 309.473 - 1429 +.071 G 1926 24 647.731 - 729 .000 Bp 1938 28 991.520 + 8258 +.125 H 1939 29 408.663 + 9121 +.156 Ma 1940 29 770.202 + 9869 +.166 Bp 1941 30 052.476 +10453 +.177 Be 1946 31 974.682 +14430 +.189 1948 32 682.749 +15895 +.181 Bp 1951 33 763.442 +18131 +.154 1952 34 121.586 +18872 +.152 1953 34 487.470 +19629 +.158 RS 1953 34 508.733 +19673 +.154 Bp 1955 35 224.534 +21154 +.147 1956 35 603.468 +21938 +.152 1957 35 933.573 +22621 +.145 1960 37 018.644 +24866 +.145 1962 37 791.450 +26465 +.111 Var 80 The star has a considerably varying light curve, differences of at least 0.7m can be taken certain in the height of maximum, while the phase-shifts are unsignificant. There is an abrupt change in the course of the O-C diagram at about J. D. 2429500. Before this abrupt change in the period some variations of the light curve can be detected (Larink, Muller, Greenstein), the phenomenon is however not very significant. The residuals were computed with the formula: C = 2425000.073 + 0.5384827d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 380.522: -21577 -.710d: 1897 14 079.525 -20279 -.657 1898 14 456.494: -19579 -.626: 1899 14 841.565: -18864 -.570: H 1912 19 479.791: -10251 -.296: 1915 20 625.775 - 8123 -.203 L 1921 22 760.441 - 4159 -.082 M 1925 24 313.488 - 1275 -.020 G 1926 24 647.887 - 654 -.018 Bp 1938 28 991.468 + 7412 +.161 H 1939 29 400.744 + 8172 +.190 Bp 1940 29 774.410 + 8866 +.149 Ma 1940 J. D. 2429 780.325 + 8877 +.141d 29 781.400 + 8879 +.139 Bp 1941 30 078.564: + 9431 +.061: Be 1946 31 994.748 +12990 -.215 1948 32 700.716: +14301 -.198: Bp 1950 33 390.470: +15582 -.240: 1952 34 118.483 +16934 -.256 1955 35 224.514 +18988 -.269 1956 35 600.326: +19680 -.317: 1957 35 920.531 +20281 -.510 1960 36 991.404: +22270 -.679: 1962 37 791.559 +23756 -.709 Var 81 The period seems to be rather constant, the O-C diagram contains only little waves. The diagram was constructed with the formula: C = 2425000.316 + 0.5291105d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 380.543: -21961 +.023d: 1896 13 691.660: -21373 +.023: H 1915 20 654.730 - 8213 -.001 L 1921 22 760.592 - 4223 +.001 M 1925 24 284.428 - 1353 -.001 G 1926 24 647.929 - 666 +.001 Bp 1938 28 991.407 + 7543 +.010 H 1939 29 431.629 + 8375 +.013 Bp 1940 29 720.527: + 8921 +.016: Ma 1940 29 770.261 + 9015 +.014 Be 1946 31 995.700 +13221 +.014 Bp 1951 33 763.460 +16562 +.016 1952 34 126.431 +17248 +.017 RS 1953 34 507.918: +17969 +.015: Bp 1955 35 227.514: +19329 +.021: 1956 35 603.182: +20039 +.021: 1960 37 018.562 +22714 +.030 Var 82 The star is a typical RRab variable with steep ascending branch and large amplitude. The residuals O-C calculated by the formula: C = 2425000.171 + 0.5245061d E. outline a positive parabola. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 372.512: -22169 +.117d: 1897 14 079.527: -20821 +.098: L 1921 22 761.589 - 4268 +.010 M 1925 24 289.466 - 1355 +.001 G 1926 24 647.703 - 672 .000 Bp 1938 J. D. 2428 963.344: + 7556 +.005d: Ma 1940 29 770.045 + 9094 +.016 Bp 1941 30 078.453 + 9682 +.014 1952 34 121.391 +17390 +.059 1953 34 487.510 +18088 +.073 1955 35 224.451 +19493 +.083 1956 35 600.526 +20210 +.087 1957 35 920.486 +20820 +.098 1960 37 018.303: +22913 +.124: 1962 37 791.437 +24387 +.136 Var 83 The star has a large amplitude and a steep rising branch. A positive parabola fits the residuals well which are calculated using the formula: C = 2425000.113 + 0.5012408d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 383.500: -23176 +.144d: 1900 15 161.850 -19628 +.091 1912 19 479.975: -11013 +.027: 1915 20 625.801 - 8727 +.016 L 1921 22 761.579 - 4466 +.007 M 1925 24 309.406: - 1378 +.003: S 1926 24 642.728 - 713 .000 G 1926 24 684.833 - 629 .000 Bp 1938 28 991.510: + 7963 +.017: 1939 29 346.386: + 8671 +.014: Ma 1940 29 770.441 + 9517 +.019 Bp 1940 29 775.452: + 9527 +.018: Be 1948 32 683.690 +15329 +.057 Bp 1950 33 421.529 +16801 +.069 1951 33 763.378 +17483 +.072 RS 1953 34 508.734 +18970 +.083 Bp 1953 34 567.386: +19087 +.090: 1955 35 223.520 +20396 +.100 1956 35 600.460 +21148 +.107 1960 37 018.500 +23977 +.136 1962 37 791.432 +25519 +.155 Var 84 A hump can be suspected in the ascending branch. The O-C diagram is probably a negative parabola but a sinusoidal wave represents it equally well. The residuals were calculated by the formula: C = 2425000.256 + 0.5957289d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 383.536: -19500 -.006d: 1897 14 071.596: -18345 -.013: 1900 15 161.783 -16515 -.010 L 1921 22 730.528 - 3810 -.001 M 1925 J. D. 2424 298.486 - 1178 -.001d Ma 1940 29 770.260 + 8007 +.003 Bp 1940 29 774.430: + 8014 +.003: 1941 30 078.254: + 8524 +.005: 1950 33 421.470 +14136 -.010 1951 33 763.422 +14710 -.006 1952 34 118.474 +15306 -.009 RS 1953 34 447.903 +15859 -.018 Bp 1953 34 487.234: +15925 -.005: 1955 35 223.550 +17161 -.010 1957 35 920.551 +18331 -.011 1960 37 018.484: +20174 -.007: Var 85 The star is of RRc type. Baker's observations are of poor quality. Small differences are probable from epoch to epoch. The O-C diagram consists of small and large cycles separated by abrupt changes. On basis of this evidence variations of the light curve can be expected. Most of the maxima seem to be double. The O-C diagram was constructed with the formula: C = 2425000.158 + 0.3558189d E. Observer Year t(med)hel. E O-C B 1900 J. D. 2415 161.735 -27650 -.030d H 1912 19 479.931 -15514 -.053 1915 20 654.832 -12212 -.066 L 1921 22 760.582: - 6294 -.052: M 1925 24 292.417 - 1989 -.017 G 1926 24 647.892 - 990 -.005 H 1939 29 408.737 +12390 -.017 Ma 1940 29 770.247 +13406 -.019 Bp 1941 30 078.390: +14272 -.015: Be 1946 31 971.746 +19593 +.028 1948 32 683.749 +21594 +.038: Bp 1950 33 422.419 +23670 +.028 1951 33 763.274: +24628 -.008: 1952 34 120.486 +25632 -.022 RS 1953 34 482.714 +26650 -.018 Bp 1953 34 487.349 +26663 -.008 1955 35 223.516 +28732 -.031 1956 35 600.330 +29791 -.029 1960 37 018.625 +33777 -.028 1962 37 791.443 +35949 -.049 Var 86 The star is of RRc type. Belserene's and Roberts and Sandage's observations suggest irregularities, but the Budapest material does not prove this conclusion. The normal points do not outline the exact shape of the light curve. The residuals were calculated using the formula: C = 2425000.233 + 0.2926601d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 386.523: -39683 -.079d: 1897 14 079.545 -37315 -.076: 1899 14 841.636: -34711 -.072: 1900 15 161.817 -33617 -.061 H 1912 19 534.756 -18675 -.050 1915 20 625.798 -14947 -.044 L 1921 22 760.487 - 7653 -.018 M 1925 24 310.429 - 2357 -.004 G 1926 24 684.744 - 1078 -.001 Sch 1938 28 965.750: +13550 -.027: Bp 1938 28 991.508: +13638 -.023: H 1939 29 431.672 +15142 -.020 Bp 1940 29 720.523: +16129 -.025: Ma 1940 29 770.272 +16299 -.028 Bp 1941 30 078.431 +17352 -.040 Be 1946 31 970.763 +23818 -.048 1948 32 683.677 +26254 -.054 Bp 1950 33 421.460 +28775 -.067 1951 33 763.594 +29944 -.053 1952 34 121.515 +31167 -.055 1953 34 487.325: +32417 -.070: RS 1953 34 508.696 +32490 -.064 Bp 1955 35 224.535 +34936 -.071 1956 35 600.315 +36220 -.067 1957 35 920.478: +37314 -.074: 1960 37 018.525 +41066 -.088 1962 37 791.426 +43707 -.102 Var 87 The star is of RRc type, close to the centre, therefore the scatter is considerable and the observations are systematically too high. The small range increases the uncertainty in determining the epochs. Bakers's observations are of poor quality. Larink's maximum at J. D. 2422756.55 is extremely low. The differences in Muller's maxima and ascending branches suggest variations of the light curve. Because of the considerable scatter in our observations we can make no conclusions about eventual light curve changes. The O-C values preceding Larink are uncertain. The (O-C)-s were calculated with the formula: C = 2425000.037 + 0.3574814d E. Observer Year t(med)hel. E O-C B 1900 J. D. 2415 161.796: -27521 +.005d: L 1921 22 761.526 - 6262 +.036 M 1925 24 290.454 - 1985 +.018 G 1926 24 683.674 - 885 +.008 Bp 1940 29 720.562: +13205 -.017: Ma 1940 29 770.283: +13344 +.014: Bp 1941 30 078.411 +14206 -.007 1950 33 420.506 +23555 -.005 1952 34 121.526 +25516 -.006 RS 1953 34 482.955 +26527 +.009 Bp 1955 35 224.387: +28601 +.024: 1956 35 600.444 +29653 +.011 1960 36 991.481: +33544 +.088: 1962 37 791.453 +35782 +.017 Var 88 The star is of the RRc type. It is situated very near the centre. The observations therefore exhibit considerable errors and the observations are systematically brighter. Martin's epoch deviates considerably from our O-C diagram. We are in need of the Mt. Wilson material of 1912 and 1915. The O-C diagram covering an interval longer than 60 years can be represented by a single large sinusoidal wave. The residuals were computed with the formula: C = 2425000.125 + 0.2985092d E. Observer Year t(med)hel. E O-C B 1897 J. D. 2414 078.524: -36587 -.045d: 1900 15 161.780 -32958 -.079 L 1921 22 761.550 - 7499 -.055 M 1925 24 288.466 - 2384 -.013 G 1926 24 683.708 - 1060 +.003 Bp 1940 29 720.558: +15813 +.107: Ma 1940 29 770.158: +15979 +.154: Bp 1941 30 078.458 +17012 +.094 1950 33 421.453 +28211 +.085 1951 33 763.543: +29357 +.083: 1952 34 121.431 +30556 +.059 1953 34 487.408 +31782 +.064 1955 35 223.502 +34248 +.034 1956 35 603.511 +35521 +.041 1957 35 920.487: +36583 .000: 1960 37 018.390 +40261 -.014 1962 37 791.499 +42851 -.044 Var 89 The hump in the ascending branch is well pronounced. The O-C diagram represents a part of a long sinusoidal wave. The star is close to the centre, therefore the brightness data are systematically higher. The O-C diagram is constructed with the formula: C = 2425000.487 + 0.5484779d E. Observer Year t(med)hel. E O-C B 1900 J. D. 2415 160.779 -17940 -.014d L 1921 22 761.597 - 4082 -.003 M 1925 24 292.402 - 1291 .000 G 1926 24 647.815 - 643 -.001 Ma 1940 29 770.064 + 8696 +.013 Bp 1941 30 078.309 + 9258 +.014: 1950 33 390.562 +15297 +.009 1951 33 763.529 +15977 +.011 1952 34 118.388 +16624 +.004 1953 34 487.518 +17297 +.009 1955 35 223.570 +18639 +.003 1956 35 600.374 +19326 +.003 1962 37 791.538 +23321 -.002 Var 90 The scatter in minimum is considerable. The residuals O-C outline a sinusoidal wave of small range. The residuals are computed with the formula: C = 2425000.182 + 0.5170334d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 384.501: -22466 -.009d: 1896 13 691.619: -21872 -.008: 1899 14 841.496: -19648 -.014: H 1912 19 479.827: -10677 +.011: 1915 20 625.573: - 8461 +.011: L 1921 22 761.437 - 4330 +.010 M 1925 24 309.434 - 1336 +.009 G 1926 24 683.761 - 612 +.003 Sch 1938 28 965.826: + 7670 -.002: H 1939 29 431.669 + 8571 -.006 Ma 1940 29 770.329 + 9226 -.003 Bp 1941 30 078.479 + 9822 -.005 Be 1946 31 968.751 +13478 -.007 1948 32 683.804: +14861 -.011: Bp 1950 33 390.595: +16228 -.005: 1951 33 763.373: +16949 -.008: 1952 34 118.576 +17636 -.007: RS 1953 34 447.918 +18273 -.015 Bp 1955 35 223.473 +19773 -.010 1956 35 600.392 +20502 -.009 1957 35 920.433. +21121 -.011: 1960 37 018.621: +23245 -.002: 1962 37 791.584: +24740 -.004: Var 91 Small variations of the light curve are probable. The Budapest material contains no maxima, only a few rising branches. A positive parabola represents a good approximation to the O-C diagram. The diagram is constructed using the formula: C = 2425000.100 + 0.5301630d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 383.490: -21911 -.209d: 1896 13 692.629: -21328 -.155: 1897 14 079.630: -20598 -.173: 1898 14 437.517: -19923 -.146: 1899 14 841.513 -19161 -.134 1900 15 161.731 -18557 -.134 L 1921 22 756.447 - 4232 -.003 M 1925 24 312.462 - 1297 -.016 Ma 1940 29 770.473 + 8998 -.034 Bp 1940 29 775.264: + 9007 -.014: 1941 30 078.525 + 9579 -.006 1950 33 390.372: +15826 -.088: 1952 34 121.431 +17205 -.123 1953 34 487.244: +17895 -.123: 1955 35 227.338. +19291 -.136: 1956 35 603.221: +20000 -.139: 1957 35 933.487 +20623 -.165 1960 37 058.474. +22745 -.183: 1962 37 791.144: +24127 -.199: Var 92 Small variations of the light curve can be established with certainty. Larink's rising branch of J. D. 2422730.5 is extremely steep, while Muller obtained rising branches with small slope. Similarly Belserene's rising branches of 1946 have slighter slopes than those of 1948. The phase shift of the maxima has an amplitude of about 0.15h according to Budapest material. The scatter in the O-C diagram is caused by the light curve variations. The diagram is constructed using the formula: C = 2425000.050 + 0.5035553d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 691.670: -22457 -.039d: 1897 14 036.595: -21772 -.049: 1898 14 456.576: -20938 -.043 H 1915 20 625.669 - 8687 +.004 L 1921 22 730.517 - 4507 -.009 M 1925 24 290.539 - 1409 -.002 S 1926 24 621.880 - 751 .000 G 1926 24 684.828 - 626 +.004 Bp 1938 28 991.209: + 7926 -.020: H 1939 29 404.646 + 8747 -.002 Ma 1940 29 770.205 + 9473 -.024 Bp 1941 30 078.403: +10085 -.002: Be 1946 31 971.745 +13845 -.028 1948 32 684.777 +15261 -.030 Bp 1950 33 421.487 +16724 -.022 1951 33 763.385 +17403 -.038 1952 34 121.432 +18114 -.019 1953 34 487.495 +18841 -.040 1956 35 603.371 +21057 -.043 1960 37 018.378: +23867 -.026: 1962 37 791.335: +25402 -.027: Var 93 The hump in the ascending branch is well pronounced and lasts about 0.5h. The diagram is computed with the ephemeris: C = 2425000.093 + 0.6022991d E. Observer Year t(med)hel. E O-C B 1897 J. D. 2414 078.534: -18133 -.069d: 1899 14 841.610: -16866 -.106: 1900 15 160.850 -16336 -.085 H 1912 19 479.946 - 9165 -.076 1915 20 626.749: - 7261 -.050: L 1921 22 756.530 - 3725 +.001 M 1925 24 298.419 - 1165 +.004 S 1926 24 621.851 - 628 +.002 G 1926 24 647.745 - 585 -.003 Sch 1938 28 983.693: + 6614 -.006: Bp 1938 28 991.527 + 6627 -.002 H 1939 29 407.724 + 7318 +.006 Ma 1940 29 770.305 + 7920 +.003 Be 1946 31 971.703 +11575 -.002 Be 1948 J. D. 2432 683.622: +12757 -.001d: Bp 1950 33 421.443 +13982 +.004 1952 34 118.297: +15139 -.002: RS 1953 34 482.681 +15744 -.009 Bp 1953 34 487.507 +15752 -.001 1955 35 223.516 +16974 -.002 1960 37 057.523 +20019 +.004 1962 37 791.121: +21237 +.002: Var 94 Unfortunately, the Budapest material does not contain maxima and well observed rising branches. Therefore the light curve is uncertain. After all, the variable is a simple one, having a straight line for its O-C diagram. The diagram is constructed with the formula: C = 2425000.049 + 0.5236937d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 383.480: -22182 +.007d: 1897 14 080.510: -20851 -.002: H 1912 19 534.778: -10436 -.004: 1915 20 625.620: - 8353 -.016: L 1921 22 756.544 - 4284 -.001 M 1925 24 289.401 - 1357 +.004 S 1926 24 620.894 - 724 -.001 G 1926 24 683.738 - 604 .000 Bp 1938 28 963.369: + 7568 +.006: Sch 1938 28 983.780: + 7607 -.007: H 1939 29 367.654 + 8340 .000 Bp 1940 29 719.568 + 9012 -.009 Ma 1940 29 770.373 + 9109 -.002 Bp 1941 30 078.307: + 9697 .000: Be 1946 31 966.749 +13303 +.003 1948 32 683.682 +14672 -.001 Bp 1950 33 420.528 +16079 +.008 1952 34 122.271: +17419 +.001: 1953 34 487.284: +18116 .000: RS 1953 34 508.755 +18157 -.001 Bp 1956 35 603.275: +20247 .000: 1960 37 057.573 +23024 .000 1962 37 791.272: +24425 +.004: Var 96 The period is nearly half a day, therefore, in some years the observations do not contain rising branches. The period decreases rather rapidly. The residuals are calculated with the formula: C = 2425000.059 + 0.4994467d E. Observer Year t(med)hel. E O-C B 1900 J. D. 2415 161.835 -19698 -.123d L 1921 22 761.537 - 4482 -.002 G 1926 24 647.946 - 705 -.003 Ma 1940 J. D. 2429 770.243 + 9551 -.031d Bp 1940 29 774.244: + 9559 -.026: 1941 30 078.401: +10168 -.032: Be 1946 31 968.775 +13953 -.064 Bp 1951 33 763.252: +17546 -.099: 1952 34 118.347 +18257 -.110 RS 1953 34 482.932 +18987 -.121 Bp 1953 34 487.431 +18996 -.118 1955 35 227.593 +20478 -.136 1960 37 018.564 +24064 -.180 1962 37 791.179: +25611 -.209: Var 97 The star is of RRc-type. Small irregularities are possible, a slow increase of the period is certain. The residuals O-C are calculated with the formula: C = 2425000.266 + 0.3349289d E. Observer Year t(med)hel. E O-C B 1900 J. D. 2415 161.759 -29375 +.025d H 1912 19 479.963 -16482 -.005 1915 20 625.760 -13061 .000 L 1921 22 760.601 - 6687 +.005 M 1925 24 287.533 - 2128 -.004 S 1926 24 620.803 - 1133 +.011 G 1926 24 683.761 - 945 +.003 Sch 1938 28 964.832: +11837 +.013: Bp 1938 28 991.635: +11917 +.021: H 1939 29 431.723 +13231 +.013 Ma 1940 29 770.320 +14242 -.003 Bp 1940 29 775.353: +14257 +.006: 1941 30 078.464 +15162 +.006 Be 1946 31 969.811 +20809 +.010 1948 32 683.884: +22941 +.014: Bp 1950 33 422.405 +25146 +.017 1951 33 763.358: +26164 +.012: 1952 34 118.382 +27224 +.012 RS 1953 34 483.796 +28315 +.018 Bp 1953 34 487.485 +28326 +.023 1955 35 224.344: +30526 +.038: 1956 35 600.459 +31649 +.028 1957 35 933.393: +32643 +.043: 1960 37 018.553 +35883 +.033 1962 37 791.577 +38191 +.041 Var 99 The period is probably about half a day, its variation is certain. Var 100 The star is close to the centre, therefore, the observations are systematically high and their scatter is large. The errors of the epochs are increased by the fact that the ascending branch is flat, the amplitude small. The scatter in the O-C diagram arises from these circumstances. The (O-C)-s are computed with the formula: C = 2425000.074 + 0.6188126d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 390.520: -18761 -.011d: 1898 14 437.549: -17069 -.013: L 1921 22 760.602 - 3619 +.011 M 1925 24 309.479 - 1116 .000 G 1926 24 647.958: - 569 -.012: Ma 1940 29 770.501 + 7709 +.001 Bp 1940 29 775.450 + 7717 -.001 1950 33 421.481 +13609 -.014 1952 34 118.271: +14735 -.007: 1955 35 223.464 +16521 -.013 1956 35 603.414 +17135 -.014 1960 36 991.426: +19378 +.001: 1962 37 791.540 +20671 -.009 Var 101 The star is very close to the centre, the scatter is very significant. Furthermore the amplitude is very small and the ascending branch flat. The epochs may contain errors amounting to 0.01d. The brightness data exceed the average values. The residuals O-C are computed with the formula: C = 2425000.204 + 0.6438975d E. Observer Year t(med)hel. E O-C B 1900 J. D. 2415 160.777 -15281 -.029d L 1921 22 730.500: - 3525 +.035: M 1925 24 287.420 - 1107 +.011 G 1926 24 684.677 - 490 -.017 Bp 1940 29 720.575: + 7331 -.042: Ma 1940 29 770.19 + 7408 -.007: Bp 1950 33 420.459 +13077 +.007 1952 34 118.397 +14161 -.039 1953 34 487.353 +14734 -.037 1955 35 223.357: +15877 -.008: 1956 35 603.232: +16467 -.032: 1960 37 018.528: +18665 -.023: Var 102 If the star is variable at all, only variations within the limits of the scatter are possible. The amplitude cannot exceed 0.1m. The brightness of the star is about 15.8m. Perhaps colour measurements could decide the question of variability. Var 104 The star lies near the centre and has close companions. Hence the errors of the observations are considerable. On many plates the object was unmeasurable. The large deviation for the 1950 (O-C) value in Fig. 58 is real. Perhaps the O-C diagram should have been approximated by cycles and not by a parabola. The diagram was constructed using the formula: C = 2425000.043 + 0.5699231d E. Observer Year t(med)hel. E O-C B 1897 J. D. 2414 078.585: -19163 -.022d: 1900 15 160.887: -17264 -.004: L 1921 22 733.460 - 3977 +.001 M 1925 24 298.462 - 1231 -.006 G 1926 24 683.739 - 555 +.003 Ma 1940 29 770.294 + 8370 -.005 Bp 1940 29 775.431 + 8379 +.002 1941 30 052.406: + 8865 -.005: 1950 33 422.381 +14778 +.014 1952 34 120.514: +16003 -.008: 1955 35 224.446 +17940 -.017 1956 35 603.446 +18605 -.016 1957 35 933.434 +19184 -.014 1960 37 018.566 +21088 -.015 1962 37 791.384 +22444 -.013 Var 105 The star is of RRc-type. The Budapest mean light curve suggests a double maximum, while Belserene's and Roberts and Sandage's observations do not show this phenomenon. The variable is of very small range and has a short period. The part of the O-C diagram preceding Larink's observations is uncertain, the Mt. Wilson material of 1912 and 1915 would be of great importance. The O-C diagram is a superposition of waves with different amplitudes and lengths, which seems to be a characteristic feature of the RRc variables. The residuals O-C were computed with the formula: C = 2425000.220 + 0.2877427d E. Observer Year t(med)hel. E O-C B 1899 J. D. 2414 841.444: -35305 -.020d: L 1921 22 730.525 - 7888 +.019 M 1925 24 298.431 - 2439 +.015 S 1926 24 642.860 - 1242 +.016 G 1926 24 647.746 - 1225 +.011 Sch 1938 28 966.738: +13785 -.015: Ma 1940 29 770.124 +16577 -.007 Bp 1940 29 774.436: +16592 -.011: Be 1946 31 974.831 +24239 +.016 1948 32 684.697: +26706 +.020: Bp 1950 33 422.468 +29270 +.019 1951 33 763.437 +30455 +.013 1952 34 118.513 +31689 +.015 1953 34 487.406 +32971 +.021 RS 1953 34 508.689 +33045 +.013 Bp 1955 35 223.442 +35529 +.012 1956 35 600.392 +36839 +.019 1957 35 933.602: +37997 +.023: 1960 37 057.529 +41903 +.027 1962 37 791.563 +44454 +.029 Var 106 The light curve is varying, but only in a small extent, hence normal points can be constructed along the entire light curve. The maximum on J. D. 2434121 is lower than the other ones and the ascending branch preceding this maximum has the least slope in the material. The maximum on J. D. 2437791 is probably high. The height of the maximum oscillates with an amplitude of about 0.25m. The part of the O-C diagram preceding Larink's observations is uncertain, the Mt. Wilson magnitudes of 1912 and 1915 would be very important. The residuals O-C are computed with the formula: C = 2425000.437 + 0.5471593d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 691.647: -20668 -.102d: 1897 14 067.560 -19981 -.087 1898 14 456.591: -19270 -.086: 1900 15 160.793 -17983 -.078 L 1921 22 761.445 - 4092 -.016 M 1925 24 292.408 - 1294 -.005 S 1926 24 621.803 - 692 .000 G 1926 24 684.724 - 577 -.002 B 1938 28 963.468: + 7243 -.044: Ma 1940 29 770.522 + 8718 -.050 Bp 1940 29 775.456: + 8727 -.040: 1950 33 390.526 +15334 -.052 1951 33 763.133: +16015 -.060: 1952 34 121.520 +16670 -.063 1955 35 223.485 +18684 -.076 1956 35 600.463: +19373 -.091: 1957 35 920.554 +19958 -.088 1960 37 057.540 +22036 -.099 Var 107 The star is of RRc-type. The O-C diagram consists of several cycles with nearly equal length and amplitude. The (O-C)-s are calculated with the formula: C = 2425000.122 + 0.3090351d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 383.488: -37590 -.005d: 1896 13 664.709: -36680 -.006: 1897 14 077.579: -35344 -.006: 1899 14 841.505 -32872 -.015: 1900 15 160.742: -31839 -.011: H 1912 19 534.849: -17685 +.013: 1915 20 654.787 -14061 +.008 L 1921 22 730.568 - 7344 .000 M 1925 24 286.551 - 2309 -.009 S 1926 24 621.856 - 1224 -.007 G 1926 24 647.813 - 1140 -.009 Bp 1938 28 963.486: +12825 -.011: Sch 1938 28 983.874: +12891 -.019: H 1939 29 367.704 +14133 -.011 Ma 1940 29 770.054 +15435 -.025 Bp 1940 29 774.385: +15449 -.020: 1941 30 078.475 +16433 -.021 Be 1946 31 965.761 +22540 -.012 1948 32 684.886: +24867 -.012: Bp 1950 J. D. 2433 420.403: +27247 +.002d: 1951 33 763.430 +28357 .000 1952 34 121.599 +29516 -.003 RS 1953 34 483.782 +30688 -.009 Bp 1953 34 487.491 +30700 -.009 1955 35 224.541 +33085 -.007 1956 35 603.415 +34311 -.010 1957 35 920.483 +35337 -.012 1960 37 018.485 +38890 -.012 1962 37 791.390 +41391 -.004 Var 108 The Budapest material contains only a few median points on the ascending branch and only two maxima. The residuals O-C are calculated with the formula: C = 2425000.037 + 0.5196049d E. Observer Year t(med)hel. E O-C B 1897 J. D. 2414 079.520: -21017 +.019d: 1900 15 160.827 -18936 +.028 H 1912 19 534.842 -10518 +.009 L 1921 22 761.581 - 4308 +.002 M 1925 24 309.481 - 1329 -.001 S 1926 24 621.763 - 728 -.002 G 1926 24 647.747 - 678 +.002 Sch 1938 28 966.715: + 7634 +.014: H 1939 29 430.727 + 8527 +.019 Ma 1940 29 770.030 + 9180 +.020 Be 1946 31 973.680 +13421 +.026 1948 32 700.607: +14820 +.025: Bp 1950 33 422.337: +16209 +.024: 1952 34 121.209: +17554 +.028: 1953 34 487.522: +18259 +.019: RS 1953 34 507.793 +18298 +.026 Bp 1955 35 227.455: +19683 +.035: 1956 35 600.525 +20401 +.028 1957 35 933.594 +21042 +.031 1960 37 018.534 +23130 +.036 1962 37 791.201: +24617 +.050: Var 109 The star is very close to the centre. The brightness data are systematically higher, the scatter is very considerable. The O-C diagram consists of small cycles. Its course preceding Larink's observations is uncertain. The (O-C)-s are calculated with the formula: C = 2425000.062 + 0.5339239d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 384.534: -21755 -.014d: 1897 14 078.624: -20455 -.025: L 1921 22 756.533: - 4202 +.019: M 1925 J. D. 2424 289.409 - 1331 .000d G 1926 24 647.673 - 660 +.001 Ma 1940 29 770.143 + 8934 +.005 Bp 1940 29 774.415 + 8942 +.005 1951 33 763.335: +16413 -.020: 1952 34 120.534 +17082 -.016 1953 34 487.337 +17769 -.019 1956 35 598.438: +19850 -.013: 1960 36 991.450: +22459 -.009: Var 110 The differences in the height of maximum amounting to 0.4m are real. The star is very close to the centre, therefore, the scatter is very large. Normal points are constructed along the entire light curve. The O-C diagram is extremely complicated, the curve drawn in the figure, however, seems very probable. The Mt. Wilson material of 1912 and 1915, further of 1946 and 1948 would be of great importance. The O-C diagram is constructed with the ephemeris: C = 2425000.440 + 0.5353569d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 383.523: -21700 +.328d: 1896 13 724.495: -21063 +.277: 1897 14 074.573: -20409 +.232: 1898 14 437.550: -19731 +.237: 1900 15 160.767 -18380 +.187 L 1921 22 761.412: - 4182 -.165: M 1925 24 313.462 - 1283 -.115 S 1926 24 642.769 - 668 -.053 Bp 1938 28 991.404 + 7454 +.414 1939 29 346.392: + 8117 +.460: Ma 1940 29 770.462 + 8909 +.527 Bp 1941 30 078.341: + 9484 +.576: 1950 33 422.491 +15731 +.352 1951 33 763.500: +16368 +.338: 1952 34 120.528 +17035 +.283 1955 35 227.513: +19103 +.150: 1956 35 603.260: +19805 +.077: 1957 35 933.497 +20422 -.002 1960 37 018.589: +22449 -.078: 1962 37 791.558 +23893 -.164 Var 113 The Budapest material contains only a few badly defined rising branches, most of the observations having been obtained on the descending branch. Very steep ascending and descending branches are characteristic for the light curve. The O-C values have been computed by the formula: C = 2425000.187 + 0.5130066d E. Observer Year t(med)hel. E O-C B 1897 J. D. 2414 071.635: -21303 +.028d: 1900 15 161.770 -19178 +.024 L 1921 22 729.603 - 4426 -.017 M 1925 24 286.570 - 1391 -.025 G 1926 24 647.724 - 687 -.027 Ma 1940 29 770.106 + 9298 -.016 Bp 1941 30 078.425 + 9899 -.014 1950 33 390.422 +16355 +.012 1951 33 763.379: +17082 +.013: 1952 34 121.458: +17780 +.014: 1955 35 223.399. +19928 +.016: 1956 35 600.463: +20663 +.021: 1957 35 920.580 +21287 +.022 1960 37 018.424. +23427 +.031: 1962 37 791.522 +24934 +.028 Var 114 The Budapest material contains only a few rising branches of poor quality. The O-C diagram is a straight line, but small oscillations may be superposed. The residuals are computed with the formula: C = 2425000.513 + 0.5977270d E. Observer Year t(med)hel. E O-C B 1897 J. D. 2414 077.671: -18274 +.021d: 1898 14 437.502: -17672 +.021: 1899 14 841.546 -16996 +.001 1900 15 160.724: -16462 -.007: L 1921 22 761.436 - 3746 +.008 M 1925 24 290.411 - 1188 -.002 G 1926 24 683.713 - 530 -.005 Bp 1938 28 991.530: + 6677 -.006: Ma 1940 29 770.374 + 7980 .000 Bp 1941 30 052.502 + 8452 .000 1950 33 422.484 +14090 -.002 1952 34 122.428 +15261 +.003 1955 35 223.439 +17103 +.001 1957 35 920.395: +18269 +.007: 1960 37 018.411 +20106 -.001 1962 37 791.282: +21399 +.009: Var 115 The star is very far from the centre of the cluster. The O-C diagram is a parabola with a slight negative curvature on which the scatter or real oscillations are superposed. The residuals are computed with the formula: C = 2425000.347 + 0.5133529d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 377.518 -22641 -.006d 1897 14 073.617: -21285 -.014: 1898 14 456.589: -20539 -.003: B 1899 J. D. 2414 841.592 -19789 -.014d L 1921 22 760.593 - 4363 +.005 M 1925 24 291.401 - 1381 -.006 G 1926 24 647.677 - 687 +.003 Bp 1939 29 346.387 + 8466 -.006 1940 29 719.601: + 9193 +.001: Ma 1940 29 770.419 + 9292 -.003 Bp 1941 30 078.427 + 9892 -.007 1950 33 390.581 +16344 -.006 1951 33 763.268: +17070 -.013: 1952 34 120.569 +17766 -.006 1955 35 223.252: +19914 -.005: 1956 35 598.510 +20645 -.008 1960 37 018.431: +23411 -.021: 1962 37 791.545 +24917 -.016 Var 116 The light curve and the O-C diagram are similar to those of var 113. Also the periods are nearly equal. Both variables are situated at nearly equal distances from the centre but approximately in opposite directions. The (O-C)-s are calculated with the formula: C = 2425000.491 + 0.5148088d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 389.532: -22554 +.039d: 1897 14 067.534: -21237 +.037: L 1921 22 756.452 - 4359 +.013 M 1925 24 288.512 - 1383 +.002 S 1926 24 642.701 - 695 +.002 Bp 1938 28 963.495: + 7698 +.006: Ma 1940 29 770.195 + 9265 .000 Bp 1940 29 775.340: + 9275 -.003: 1941 30 052.312: + 9813 +.002: 1950 33 390.353: +16297 +.023: 1952 34 121.381 +17717 +.022 1953 34 487.412 +18428 +.024 1956 35 600.435 +20590 +.031 1957 35 933.513 +21237 +.028 1960 36.991.449 +23292 +.031 1962 37 791.467 +24846 +.037 Var 117 The light curve exhibits strong variations with differences in the height of maximum of 0.45m at least. Unfortunately, the Budapest material does not contain maxima well covered with observations, therefore only normal points are given along the entire light curve. The amplitude of the oscillations of the median point on the rising branch can be put at 0.3h. The O-C residuals are calculated with the formula: C = 2425000.250 + 0.6005164d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 372.531: -19363 +.080d: 1897 14 080.525 -18184 +.065 1900 15 160.864: -16385 +.075: H 1915 20 656.730: - 7233 +.015: L 1921 22 761.527 - 3728 +.002 M 1925 24 290.439 - 1182 -.001 24 311.470 - 1147 +.012 G 1926 24 647.742 - 575 -.005 Sch 1938 28 964.877: + 6602 +.018: H 1939 29 408.666 + 7341 +.025 Ma 1940 29 770.185 + 7943 +.033 Bp 1940 29 774.384: + 7950 +.029: 1941 30 052.448: + 8413 +.054: Be 1946 31 968.693 +11604 +.051 1948 32 700.749 +12823 +.077 Bp 1950 33 421.361: +14023 +.070: 1952 34 121.552 +15189 +.058 RS 1953 34 507.694 +15832 +.068 Bp 1955 35 223.518 +17024 +.077 1960 37 018.469: +20013 +.084: Var 118 The period is about 0.5d, but by lucky chance a lot of well observed ascending branches are obtained. As O-C diagram a parabola is drawn, but perhaps a sinusoidal wave would fit the observations better. The residuals are computed with the formula: C = 2425000.355 + 0.4993807d E. Observer Year t(med)hel. E O-C B 1899 J. D. 2414 841.475 -20343 +.022d H 1915 20 625.777 - 8760 -.003 L 1921 22 760.635 - 4485 +.002 G 1926 24 647.795 - 706 +.003 Bp 1938 28 991.406 + 7992 .000 Ma 1940 29 770.443 + 9552 +.004 Bp 1940 29 775.439 + 9562 +.006 Be 1946 31 971.717 +13960 +.007 1948 32 682.837: +15384 +.009 Bp 1950 33 421.420 +16863 +.008 1951 33 763.495 +17548 +.007 1952 34 120.554 +18263 +.009 1960 37 018.467 +24066 +.016 1962 37 791.519 +25614 +.027 Var 119 The O-C diagram is composed of waves of different length and amplitude. Perhaps the residuals obtained from Baker's observations have to be shifted by 1P downwards. The (O-C)-s are calculated with the data: C = 2425000.333 + 0.5177404d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 390.522: -22424 .000d: 1897 14 078.610. -21095 +.011: 1898 14 456.566: -20365 +.016. 1899 14 807.604: -19687 +.026: 1900 15 161.755 -19003 +.043 H 1915 20 654.877: - 8393 -.061: L 1921 22 730.514 - 4384 -.045 M 1925 24 288.430 - 1375 -.010 G 1926 24 647.747 - 681 -.005 H 1939 29 431.684 + 8559 +.011 Ma 1940 29 770.287 + 9213 +.012 Bp 1941 30 052.451 + 9758 +.007 Be 1946 31 974.821 +13471 +.007 1948 32 700.692 +14873 +.006 Bp 1950 33 422.429 +16267 +.013 1952 34 122.417 +17619 +.016 RS 1953 35 482.766 +18315 +.018 Bp 1953 34 487.431 +18324 +.023 1956 35 598.493 +20470 +.014 1957 35 933.464 +21117 +.007 1960 37 018.644: +23213 +.003: Var 120 The star has a very flat ascending branch, therefor the scatter obtained in the O-C diagram exceeds the average. The diagram is a straight line although different oscillations may be superposed. It is constructed with the formula: C = 2425000.350 + 0.6401387d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 691.657: -17666 -.003d: 1900 15 160.791 -15371 +.013 H 1915 20 625.652: - 6834 +.010: 1921 22 760.491 - 3499 -.014 M 1925 24 290.443 - 1109 +.007 S 1926 24 565.033 - 680 -.023 G 1926 24 684.741: - 493 -.021: Bp 1938 28 963.459: + 6191 +.010: H 1939 29 400.669 + 6874 +.006 Ma 1940 29 770.043 + 7451 +.020 Be 1946 31 974.668 +10895 +.007 Bp 1950 33 421.366 +13155 -.009 1952 34 118.486 +14244 .000 1953 34 487.207: +14820 +.001: RS 1953 34 507.684 +14852 -.006 Bp 1955 35 223.366 +15970 +.001 1956 35 600.415 +16559 +.008 1957 35 920.467: +17059 -.009: 1960 37 018.312: +18774 -.002: Var 121 The light curve is strongly variable, with phase-shifts exceeding 0.8h! The variable is very close to the centre, therefore, the scatter is very large and the magnitude scale in the light curve is distorted. The (O-C)-s are calculated with the formula: C = 2425000.289 + 0.5351882d E. Observer Year t(med)hel. E O-C B 1897 J. D. 2414 077.647: -20409 +.014d: 1900 15 160.879: -18385 +.025: L 1921 22 730.559 - 4241 +.003 22 760.508 - 4185 -.018 M 1925 24 311.500 - 1287 -.002 S 1926 24 621.900 - 707 -.011 Ma 1940 29 770.43 : + 8913 +.009: Bp 1941 30 052.508: + 9440 +.042: 1950 33 421.464 +15735 -.011 1951 33 763.501 +16374 +.040 1952 34 121.479 +17043 -.022 1955 35 223.470 +19102 +.016 1956 35 603.444 +19812 +.006 1960 37 018.465: +22456 -.010: 1962 37 791.287: +23900 .000: Var 123 This variable has in our material the greatest distance from the centre of the cluster. The residuals preceding Larink's observations provide an uncertain section of the O-C diagram. The diagram is constructed with the formula: C = 2425000.210 + 0.5454472d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 691.553: -20733 +.100d: L 1921 22 760.629 - 4106 +.025 M 1925 24 289.508 - 1303 +.016 G 1926 24 647.854 - 646 +.003 Bp 1938 28 991.211: + 7317 -.036: Ma 1940 29 770.115 + 8745 -.031 Bp 1941 30 078.314: + 9310 -.009: 1950 33 422.510 +15441 +.050 1951 33 763.419 +16066 +.054 1952 34 118.510 +16717 +.059 1955 35 227.411: +18750 +.066: 1956 35 600.509 +19434 +.078 1960 37 057.413: +22105 +.093: 1962 37 791.575: +23451 +.083: Var 124 All observers got considerable scatter for this variable. The star has a flat ascending branch, therefore, the errors of the O-C values exceed the average. The diagram consists of a large sinusoidal wave. According to the characteristics of its light curve, the star behaves similar to RRab stars having periods shorter by about 0.1d. (The star belongs to the long period sequence.) The O-C values are calculated using the formula: C = 2425000.712 + 0.7524328d E. Observer Year t(med)hel. E O-C B 1896 J. D. 2413 691.648: -15030 +.001d: 1897 14 077.649: -14517 +.004: L 1921 22 761.445 - 2976 -.027 M 1925 24 290.421 - 944 +.004 G 1926 24 647.816 - 469 -.005 Ma 1940 29 770.421 + 6339 +.037 Bp 1940 29 774.187: + 6344 +.041: 1941 30 078.176: + 6748 +.047: 1950 33 420.461 +11190 +.026 1952 34 120.243: +12120 +.045: 1953 34 487.413 +12608 +.028 RS 1953 34 507.719 +12635 +.019 Bp 1955 35 223.270 +13586 +.006 1957 35 933.565: +14530 +.004: 1960 37 018.549: +15973 -.020: 1962 37 791.310: +16999 -.007: Var 125 The star is of RRc type. Phase-oscillations from epoch to epoch amounting to several minutes can be clearly seen in the material of almost every observer. The (O-C)-s are calculated using the formula: C = 2425000.295 + 0.3498206d E. Observer Year t(med)hel. E O-C B 1897 J. D. 2414 077.547 -31224 +.050d H 1915 20 654.835 -12422 +.011 L 1921 22 756.540 - 6414 -.006 M 1925 24 290.515 - 2029 +.006 G 1926 24 684.750 - 902 -.007 Sch 1938 28 966.556: +11338 -.005: Bp 1938 28 991.397: +11409 -.001: H 1939 29 408.743 +12602 +.009 Ma 1940 29 770.117 +13635 +.018 Bp 1941 30 078.295: +14516 +.004: Be 1946 31 968.744 +19920 +.023 1948 32 683.807: +21964 +.052: Bp 1950 33 420.516 +24070 +.039 1951 33 763.340: +25050 +.039: 1952 34 120.509 +26071 +.041 1953 34 487.465: +27120 +.035: RS 1953 34 507.753 +27178 +.034 Bp 1955 35 224.540 +29227 +.038 1956 35 603.410 +30310 +.053 1960 37 018.436 +34355 +.054 1962 37 791.545 +36565 +.060 Var 126 The star is of RRc-type. Larink's observations show differences in the height of maximum amounting to 0.5m. There is a low, flat maximum on J. D. 2422756.5, while the maxima on J. D. 2422729.6 and J. D. 2422761.4 are high. (The maximum on J. D. 2422840 may be even higher.) Muller's material shows the same phenomena. The heights of the maxima on J. D. 2424289.5, J. D. 2424290.5 and J. D. 2424298.5 are different. Furthermore, phase-shifts of several minutes can be detected from epoch to epoch. On the other hand Greenstein's and Roberts -Sandage's observations and the Budapest material do not show any light curve variations. The O-C diagram consists of waves of nearly equal length and amplitude, its section preceding Larink's observations is uncertain. The Mt. Wilson material of 1912 and 1915 would be of great importance. The O-C diagram is constructed with the formula: C = 2425000.164 + 0.3484043d E. Observer Year t(med)hel. E O-C B 1895 J. D. 2413 372.523: -33374 +.004d: L 1921 22 760.633: - 6428 +.012: M 1925 24 290.465 - 2037 +.001 G 1926 24 683.817 - 908 +.004 Ma 1940 29 770.165 +13691 -.002 Bp 1941 30 078.496 +14576 -.009 1950 33 421.460 +24171 +.016 1951 33 763.240: +25152 +.011: 1952 34 121.400 +26180 +.011 RS 1953 34 483.738 +27220 +.009 Bp 1955 35 224.451 +29346 +.014 1956 35 603.507 +30434 +.007 1960 37 018.370: +34495 .000: 1962 37 791.467 +36714 -.012 Var 131 The star is an RRc-variable, very close to the centre. Therefore the scatter is considerable. On Budapest plates of 1960 the star was not measurable at all. Larink obtained maxima of different heights, the differences amount to 0.4m. In the material of other observers such variations are not apparent. The (O-C)-s are calculated with the formula: C = 2425000.158 + 0.2976919d E. B 1897 J. D. 2414 077.594 -36691 +.050d 1898 14 456.561: -35418 +.055: 1900 15 161.777 -33049 +.039 L 1921 22 730.550 - 7624 -.005 M 1925 24 290.465 - 2384 +.004 S 1926 24 621.781: - 1271 -.011: G 1926 24 683.714 - 1063 +.002 Ma 1940 29 770.088 +16023 +.013 Bp 1940 29 775.470: +16041 +.036: 1941 30 078.520 +17059 +.036 1950 33 422.518 +28292 +.061 1951 33 763.356: +29437 +.042: 1952 34 121.498 +30640 +.060 1953 34 487.363: +31869 +.062: 1955 35 223.536 +34342 +.043 1956 35 603.411 +35618 +.063 1962 37 791.446 +42968 +.062 Var 140 The star is of RRc-type. It is situated near the centre, therefore the scatter in the observations is considerable. The Budapest magnitudes obtained in the year 1962 deviate conspicuously from the average, therefore they are omitted in constructing the normal points. Larink's material shows large irregularities, not corroborated by other observers. The O-C diagram shows considerable scatter indicating variation of the light curve. The residuals are calculated with the formula: C = 2425000.123 + 0.3331304d E Observer Year t(med)hel. E O-C L 1921 J. D. 2422 761.493 - 6720 +.006d M 1925 24 286.545 - 2142 -.013 G 1926 24 647.670 - 1058 -.001 Bp 1938 28 991.36 : +11981 +.002: Ma 1940 29 770.230 +14319 +.013 Bp 1940 29 775.207: +14334 -.007: 1941 30 052.401: +15166 +.022: 1950 33 421.343: +25279 +.017: 1951 33 763.466 +26306 +.015 1952 34 121.539 +27381 -.027 RS 1953 34 483.676 +28468 -.003 Bp 1953 34 487.367: +28479 +.023: 1955 35 223.518 +30689 -.044 1956 35 603.328: +31829 -.003: 1957 35 933.474: +32820 +.011: 1960 37 018.483 +36077 +.015 1962 37 791.385: +38397 +.054: Var 142 The star is near the centre, the scatter of the observations is considerable. The O-C diagram can be constructed beginning with Muller's observations only, the straight line represents a good approximation. The (O-C)-s are calculated with the formula: C = 2425000.004 + 0.5686256d E Observer Year t(med)hel. E O-C M 1925 J. D. 2424 287.520 - 1253 +.004d G 1926 24 683.843: - 556 -.005: Ma 1940 29 770.210 + 8389 +.006 Bp 1941 30 078.401 + 8931 +.002 1950 33 422.473 +14812 -.013 1952 34 118.484 +16036 .000 1955 35 224.460 +17981 -.001 1956 35 600.329: +18642 +.007: 1960 37 018.485 +21136 +.010 1962 37 791.229: +22495 -.008: Var 202 The star is probably an RRc variable with long period. Var 204 The variable is of very small range. Baker's corrected period (1956) satisfies the observations for every year separately, but the material of different years can not be connected. When in a year the majority of plates is of inferior quality, the whole year's material is rejected. Table 8 Phase m-10 n Phase m-10 n V 1. V 5. .011d .021P 4.94 10 - - - - .030 .058 4.69 8 - - - - .050 .096 4.76 10 - - - - .074 .142 4.94 9 - - - - .093 .179 5.07 11 - - - - .113 .217 5.24 12 - - - - .134 .257 5.31 8 - - - - .155 .298 5.40 9 .192d .380P 5.86 10 .179 .344 5.53 8 .216 .427 5.91 11 .197 .378 5.60 6 .240 .474 5.93 6 .223 .428 5.66 7 .269 .532 5.96 8 .250 .480 5.77 11 .290 .573 6.01 11 .279 .536 5.78 6 .315 .623 6.07 12 .313 .601 5.84 12 .341 .674 6.07 21 .351 .675 5.81 12 .368 .727 6.00 15 .397 .762 5.82 16 .391 .773 6.00 16 .437 .840 5.83 8 .418 .826 6.01 10 .472 .907 5.92 5 .443 .876 6.02 11 .495 .951 5.84 7 - - - - .514 .987 5.48 10 - - - - V 6. V 9. .009d .018P 5.21 12 .009d .017P 5.39 2 .030 .058 4.88 5 .019 .035 5.15 3 .063 .122 5.08 12 .032 .059 4.95 1 .089 .173 5.30 10 .053 .098 5.02 7 .114 .222 5.44 11 .093 .172 5.31 10 .137 .266 5.58 12 .124 .229 5.50 11 .163 .317 5.68 13 .155 .286 5.66 13 .188 .366 5.73 15 .183 .338 5.80 17 .215 .418 5.89 12 .215 .397 5.90 14 .241 .468 5.95 11 .245 .452 6.03 17 .279 .542 5.99 7 .279 .515 6.06 20 .308 .599 6.00 7 .315 .582 6.13 13 .336 .653 6.03 11 .346 .639 6.17 11 .365 .710 6.04 8 .380 .702 6.21 15 .399 .776 5.99 9 .410 .757 6.16 13 .429 .834 5.95 13 .442 .816 6.13 15 .457 .889 6.15 14 .469 .866 6.11 18 .484 .941 6.19 9 .500 .923 6.28 8 .500 .972 5.93 8 .520 .960 6.17 3 .511 .994 5.60 4 .533 .984 5.92 6 Table 8 (continued) Phase m-10 n Phase m-10 n V 10. V 11. .010d .018P 5.44 5 .006d .012P 5.22 10 .024 .042 5.25 4 .019 .037 4.85 11 .035 .061 5.14 4 .035 .069 4.75 17 .062 .109 5.13 4 .058 .114 4.90 19 .085 .149 5.32 11 .087 .171 5.16 13 .114 .200 5.48 21 .116 .228 5.37 10 .144 .253 5.61 15 .140 .276 5.51 12 .178 .313 5.69 16 .164 .323 5.66 12 .217 .381 5.83 10 .194 .382 5.75 12 .256 .450 5.95 20 .220 .433 5.86 3 .292 .513 6.05 14 .244 .480 5.93 3 .326 .572 6.05 16 .297 .585 6.02 3 .366 .643 6.10 15 .317 .624 6.12 4 .401 .704 6.07 9 .344 .677 6.16 5 .436 .766 6.02 10 .372 .732 6.14 7 .463 .813 6.08 5 .410 .807 6.16 9 .495 .869 6.13 6 .437 .860 6.12 17 .526 .924 6.15 7 .463 .912 6.16 19 .548 .962 6.02 6 .485 .955 6.13 16 .567 .996 5.77 4 .501 .986 5.84 9 V 12. V 13. .008d .025P 5.44 16 .008d .017P 5.23 4 .024 .075 5.29 14 .022 .046 4.89 5 .039 .123 5.30 13 .038 .079 4.83 2 .055 .173 5.29 10 .062 .128 5.00 5 .071 .223 5.25 13 .082 .170 5.21 5 .087 .274 5.23 13 .105 .217 5.28 2 .104 .327 5.31 8 .127 .263 5.48 4 .118 .371 5.34 8 .155 .321 5.63 6 .133 .418 5.41 6 .188 .389 5.71 4 .149 .469 5.52 5 .212 .439 5.76 8 .169 .532 5.52 3 .242 .501 5.86 7 .185 .582 5.68 6 .277 .573 5.91 15 .200 .629 5.73 9 .308 .638 5.94 14 .216 .679 5.77 12 .338 .700 5.93 18 .231 .727 5.80 15 .366 .758 5.92 26 .245 .771 5.85 11 .395 .818 5.91 16 .263 .827 5.81 10 .419 .867 5.95 9 .278 .875 5.81 11 .438 .907 5.94 8 .294 .925 5.75 13 .460 .952 5.80 6 .309 .972 3.66 14 .477 .987 5.63 4 Table 8 (continued) Phase m-10 n Phase m-10 n V 14. V 15. .012d .019P 5.25 7 .000d .000P 5.51 7 .031 .049 5.01 5 .008 .015 5.19 4 .048 .075 4.96 6 .018 .034 4.91 4 .070 .110 5.03 7 .031 .058 4.91 5 .096 .151 5.17 15 .045 .085 4.99 6 .127 .200 5.29 11 .060 .113 5.09 8 .156 .245 5.41 14 .090 .170 5.32 23 .192 .302 5.57 15 .125 .236 5.54 12 .232 .365 5.74 11 .168 .317 5.77 16 .272 .428 5.80 14 .209 .394 5.88 12 .310 .487 5.91 7 .258 .487 6.02 12 .352 .554 5.98 12 .289 .545 6.13 17 .389 .612 6.03 8 .332 .626 6.14 15 .429 .675 6.03 12 .371 .700 6.17 13 .470 .739 5.99 16 .409 .772 6.12 10 .514 .808 6.07 9 .451 .851 6.08 16 .543 .854 6.08 13 .478 .902 6.15 7 .564 .887 6.17 6 .492 .928 6.26 6 .596 .937 6.14 6 .506 .955 6.20 5 .626 .984 5.74 6 .518 .977 5.99 8 V 16. V 17. .010d .020P 5.17 7 - - - - .021 .041 4.93 8 - - - - .037 .072 5.00 13 - - - - .052 .102 5.12 12 - - - - .074 .145 5.32 16 - - - - .105 .205 5.54 12 .159d .276P 5.70 13 .136 .266 5.73 15 .187 .325 5.82 8 .171 .334 5.84 5 .215 .373 5.87 9 .193 .377 5.92 5 .243 .422 5.92 13 .222 .434 6.00 6 .274 .476 6.03 11 .257 .502 6.10 11 .302 .524 6.07 11 .286 .559 6.20 15 .330 .573 6.05 11 .315 .616 6.24 9 .358 .621 6.14 10 .346 .676 6.23 14 .391 .679 6.14 10 .375 .733 6.22 18 .419 .727 6.19 9 .405 .792 6.21 15 .445 .772 6.19 6 .433 .847 6.26 11 .474 .823 6.07 8 .459 .897 6.29 5 .504 .875 6.14 7 .486 .950 6.23 8 .534 .927 6.19 11 .507 .991 5.64 7 .560 .972 6.06 22 Table 8 (continued) Phase m-10 n Phase m-10 n V 18. V 19. - - - - .015d .024P 5.70 12 - - - - .048 .076 5.58 7 - - - - .078 .123 5.61 8 - - - - .110 .174 5.71 18 .115d .223P 5.58 17 .142 .225 5.74 9 .142 .275 5.68 13 .169 .267 5.82 7 .168 .325 5.78 12 .200 .316 5.93 6 .192 .372 5.96 12 .238 .377 6.01 7 .218 .422 6.10 15 .269 .426 6.03 4 .246 .476 6.10 9 .305 .483 6.09 4 .269 .521 6.31 8 .333 .527 6.13 8 .297 .575 6.30 5 .361 .571 6.14 11 .322 .624 6.34 4 .391 .619 6.16 9 .346 .670 6.26 5 .427 .676 6.16 9 .376 .728 6.24 8 .465 .736 6.12 12 .401 .777 6.24 11 .492 .779 6.11 13 .420 .813 6.28 6 .520 .823 6.16 11 .451 .873 6.25 8 .554 .877 6.13 15 .476 .922 6.30 9 .583 .922 6.12 9 .504 .976 5.98 12 .618 .978 5.94 9 V 20. V 21. .016d .033P 5.14 13 .015d .029P 5.10 7 .038 .077 4.86 5 .029 .056 4.93 5 .058 .118 4.98 6 .054 .105 5.12 4 .075 .153 5.16 7 .076 .147 5.35 4 .100 .204 5.31 15 .103 .200 5.54 8 .128 .261 5.58 16 .138 .268 5.69 5 .155 .316 5.83 13 .166 .322 5.79 8 .176 .358 5.82 8 .199 .386 5.94 13 .206 .419 5.98 8 .228 .442 6.03 15 .234 .476 6.03 9 .256 .496 6.18 18 .264 .537 6.10 8 .283 .549 6.21 18 .287 .584 6.17 7 .315 .611 6.30 23 .311 .633 6.29 6 .346 .671 6.30 19 .337 .686 6.31 5 .375 .727 6.24 11 .370 .753 6.33 8 .406 .787 6.21 7 .395 .804 6.31 13 .439 .851 6.20 6 .425 .865 6.13 6 .466 .904 6.32 9 .446 .908 6.12 8 .486 .942 6.39 6 .466 .949 6.06 9 .498 .966 6.22 3 .485 .987 5.70 8 .514 .997 5.62 7 Table 8 (continued) Phase m-10 n Phase m-10 n V 22. V 23. .011d .023P 5.32 12 .012d .020P 5.28 11 .030 .062 5.05 13 .043 .072 5.08 11 .051 .106 4.99 16 .076 .111 5.13 10 .070 .145 5.13 8 .104 .175 5.23 11 .091 .189 5.27 9 .137 .230 5.34 15 .114 .237 5.46 17 .167 .280 5.44 14 .143 .297 5.72 13 .194 .326 5.51 12 .167 .347 5.75 7 .222 .373 5.54 13 .194 .403 5.97 12 .252 .423 5.57 6 .218 .453 5.96 5 .280 .470 5.64 10 .252 .523 6.01 5 .310 .521 5.74 9 .263 .546 6.20 1 .343 .576 5.73 11 .300 .623 6.18 5 .372 .625 5.76 10 .331 .688 6.16 4 .399 .670 5.80 8 .357 .742 6.13 8 .434 .729 5.77 8 .379 .787 6.17 12 .463 .778 5.73 12 .410 .852 6.19 16 .494 .830 5.71 7 .432 .897 6.13 13 .522 .877 5.76 10 .452 .939 6.07 16 .554 .931 5.74 13 .471 .978 5.76 13 .582 .978 5.57 12 V 24. V 25. .006d .009P 5.41 5 .007d .015P 5.05 9 .034 .051 5.18 3 .022 .046 4.66 8 .057 .086 5.06 3 .037 .077 4.75 11 .077 .116 5.11 4 .052 .108 4.89 9 .109 .164 5.28 8 .075 .156 5.09 22 .147 .222 5.38 8 .103 .215 5.25 19 .183 .276 5.49 8 .132 .275 5.43 17 .216 .326 5.57 10 .161 .335 5.63 17 .252 .380 5.64 16 .190 .396 5.80 15 .289 .436 5.76 15 .216 .450 5.83 15 .325 .490 5.79 19 .246 .512 5.89 8 .358 .540 5.85 16 .275 .573 6.00 5 .398 .600 5.91 15 .307 .640 5.98 7 .433 .653 5.87 13 .332 .692 6.05 7 .469 .707 5.89 14 .361 .752 5.99 9 .505 .761 5.79 16 .388 .808 5.98 7 .539 .813 5.87 14 .418 .871 5.88 5 .575 .867 6.06 9 .446 .928 6.07 5 .613 .924 6.02 8 .459 .956 5.96 6 .643 .969 5.74 8 .471 .981 5.74 5 Table 8 (continued) Phase m-10 n Phase m-10 n V 26. V 27. .012d .020P 5.18 10 .002d .003P 5.54 4 .032 .054 4.91 8 .027 .047 5.19 4 .052 .087 4.95 12 .049 .085 5.08 3 .074 .124 5.07 15 .074 .128 5.26 2 .105 .176 5.21 15 .117 .202 5.44 6 .135 .226 5.35 11 .148 .256 5.60 6 .167 .279 5.49 11 .186 .321 5.70 9 .202 .338 5.59 9 .214 .370 5.81 12 .241 .403 5.63 8 .244 .421 5.87 20 .273 .457 5.76 14 .274 .473 5.92 21 .308 .515 5.83 11 .304 .525 5.96 14 .342 .572 5.86 10 .338 .584 6.02 14 .381 .637 5.86 10 .371 .640 6.04 18 .410 .686 5.89 6 .401 .692 6.06 16 .454 .760 5.93 10 .434 .749 6.02 9 .481 .805 5.92 8 .462 .798 6.02 9 .517 .865 5.97 7 .497 .858 6.04 7 .544 .910 6.04 10 .519 .896 6.07 6 .572 .957 5.91 7 .546 .943 6.08 5 .590 .987 5.59 6 .565 .976 5.89 4 V 28. V 31. .011d .023P 5.30 18 .009d .015P 4.82 7 .032 .068 5.00 10 .029 .050 4.47 11 .059 .125 5.00 9 .058 .100 4.53 4 .080 .170 4.92 8 .086 .148 4.67 9 .102 .217 5.07 6 .114 .196 4.86 13 .126 .268 5.28 4 .142 .245 5.10 8 .152 .323 5.37 8 .176 .303 5.18 7 .178 .378 5.48 6 .213 .367 5.29 9 .195 .414 5.60 5 .244 .420 5.30 9 .221 .470 5.63 4 .271 .467 5.34 12 .247 .525 5.72 5 .305 .525 5.42 11 .268 .569 5.74 10 .342 .589 5.60 6 .296 .629 5.84 9 .371 .639 5.57 8 .320 .680 5.82 10 .400 .689 5.56 12 .342 .727 5.86 14 .433 .746 5.47 13 .368 .782 5.89 13 .467 .804 5.59 14 .389 .827 5.82 13 .493 .849 5.46 10 .412 .875 5.88 14 .522 .899 5.61 8 .433 .920 5.84 10 .549 .945 5.62 6 .458 .973 5.70 9 .572 .985 5.28 10 Table 8 (continued) Phase m-10 n Phase m-10 n V 32. V 33. .014d .028P 4.66 8 - - - - .029 .059 4.62 13 - - - - .500 .101 4.78 18 - - - - .070 .141 4.93 19 - - - - .091 .184 5.03 10 - - - - .111 .224 5.24 10 .144d .267P 5.49 15 .133 .268 5.31 8 .172 .327 5.53 15 .150 .303 5.39 6 .197 .375 5.61 17 .170 .343 5.47 7 .225 .428 5.73 13 .199 .402 5.42 5 .252 .480 5.73 10 .239 .482 5.67 10 .274 .522 5.81 5 .280 .565 5.61 8 .302 .575 5.72 4 .316 .638 5.65 5 .333 .634 5.81 5 .362 .731 5.66 7 .356 .678 5.84 6 .396 .799 5.51 10 .378 .720 5.86 4 .425 .858 5.54 10 .406 .773 5.84 4 .450 .908 5.64 8 .433 .824 5.82 7 .469 .947 5.68 8 .458 .872 5.89 11 .483 .975 5.45 5 .485 .923 5.86 14 .495 .999 5.02 5 .511 .973 5.64 11 V 34. V 35. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - .154d .275P 5.57 9 - - - - .184 .329 5.71 8 - - - - .210 .376 5.82 7 - - - - .240 .429 5.92 12 .224d .422P 5.78 10 .264 .472 5.99 13 .250 .471 5.90 8 .296 .529 6.04 14 .280 .528 5.92 15 .322 .576 6.08 12 .303 .571 5.93 10 .347 .621 6.05 16 .332 .626 5.99 8 .376 .673 6.09 11 .360 .678 5.96 8 .408 .730 6.06 10 .385 .726 5.96 10 .435 .778 6.11 12 .413 .778 6.04 11 .461 .825 6.07 9 .439 .827 6.00 11 Table 8 (continued) Phase m-10 n Phase m-10 n V 36. V 37. .010d .018P 5.16 2 .008d .024P 5.59 12 .033 .060 4.83 4 .024 .073 5.50 12 .054 .099 4.97 4 .041 .126 5.44 14 .083 .152 5.22 5 .057 .175 5.41 16 .113 .207 5.38 7 .074 .227 5.43 16 .143 .262 5.54 11 .090 .276 5.43 13 .174 .319 5.67 14 .107 .328 5.51 9 .206 .378 5.79 20 .122 .374 5.55 10 .233 .427 5.92 19 .138 .422 5.64 13 .266 .488 6.04 17 .154 .471 5.72 9 .296 .543 6.05 15 .173 .530 5.80 9 .325 .596 6.06 7 .190 .582 5.86 3 .353 .647 6.09 10 .203 .621 5.93 7 .386 .707 6.19 9 .220 .674 5.99 9 .416 .762 6.13 8 .237 .726 6.02 5 .444 .814 6.08 14 .253 .775 6.02 9 .473 .867 6.10 14 .269 .824 6.02 8 .499 .915 6.22 9 .285 .873 6.00 9 .522 .957 6.16 11 .302 .925 5.93 9 .540 .990 5.79 7 .316 .967 5.84 6 V 38. V 39. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - .115d .206P 5.60 9 .136d .232P 5.67 15 .142 .254 5.72 6 .165 .281 5.72 16 .175 .314 5.80 8 .195 .332 5.82 10 .196 .351 5.86 6 .217 .370 5.88 6 .229 .410 5.92 8 .261 .445 6.01 4 .264 .473 6.00 11 .287 .489 6.07 8 .290 .520 6.04 21 .313 .533 6.07 11 .319 .572 6.07 17 .349 .594 6.08 6 .347 .622 6.10 18 .380 .647 6.11 4 .376 .674 6.06 15 .416 .709 6.16 7 .407 .729 6.05 14 .437 .744 6.19 8 .433 .776 6.09 17 .468 .797 6.08 10 .460 .824 6.10 5 .494 .841 6.18 15 .491 .880 6.15 5 .526 .896 6.20 13 .525 .941 6.05 11 .556 .947 6.03 10 .551 .987 5.71 8 .578 .985 5.81 7 Table 8 (continued) Phase m-10 n Phase m-10 n V 40. V 41. .005d .009P 5.55 7 .013d .027P 5.44 6 .018 .033 5.32 5 .032 .066 5.24 4 .025 .045 5.16 5 .058 .120 5.25 6 .041 .074 5.10 9 .083 .171 5.53 2 .062 .112 5.17 4 .111 .229 5.48 6 .080 .145 5.30 6 .131 .270 5.70 4 .105 .190 5.45 11 .153 .315 5.67 4 .141 .256 5.66 7 .181 .373 5.74 5 .183 .332 5.83 6 .208 .429 5.99 6 .217 .393 5.96 13 .230 .474 5.96 8 .262 .475 6.06 16 .259 .534 6.11 10 .300 .544 6.14 15 .280 .577 6.26 17 .340 .616 6.21 20 .304 .627 6.17 18 .378 .685 6.18 21 .326 .672 6.23 19 .422 .765 6.27 10 .352 .726 6.23 16 .461 .836 6.20 19 .375 .773 6.21 16 .490 .888 6.26 10 .399 .823 6.19 19 .511 .926 6.32 13 .424 .874 6.09 11 .531 .963 6.17 8 .450 .928 5.99 7 .545 .988 5.76 5 .473 .975 5.80 7 V 42. V 43. .004d .007P 4.90 5 - - - - .014 .024 4.61 5 - - - - .030 .051 4.45 7 - - - - .049 .083 4.41 5 - - - - .071 .120 4.60 3 - - - - .107 .181 4.79 6 .149d .276P 5.33 12 .136 .230 4.91 8 .174 .322 5.45 16 .191 .324 5.34 3 .203 .376 5.47 13 .231 .391 5.32 2 .228 .422 5.51 10 .256 .434 5.35 17 .256 .474 5.60 12 .299 .507 5.30 10 .283 .524 5.63 11 .344 .583 5.45 13 .310 .574 5.74 8 .380 .644 5.68 11 .337 .624 5.81 4 .420 .712 5.61 15 .367 .679 5.75 5 .463 .784 5.68 18 .395 .731 5.84 4 .500 .847 5.62 15 .418 .773 5.75 13 .526 .891 5.72 4 .446 .825 5.79 16 .549 .930 5.65 5 .473 .875 5.70 13 .569 .964 5.61 6 .497 .920 5.76 15 .588 .996 5.12 3 .526 .973 5.51 9 Table 8 (continued) Phase m-10 n Phase m-10 n V 44. V 45. - - - - .013d .024P 5.24 5 - - - - .036 .067 4.97 5 - - - - .053 .099 5.13 7 - - - - .074 .138 5.28 11 - - - - .095 .177 5.37 12 .140d .276P 5.55 14 .121 .225 5.54 17 .166 .328 5.67 15 .151 .281 5.65 20 .190 .375 5.76 10 .179 .333 5.84 12 .213 .421 5.76 9 .210 .391 5.94 13 .241 .476 5.88 6 .242 .451 6.07 9 .263 .519 5.94 7 .272 .507 6.10 9 .291 .575 5.95 7 .304 .566 6.17 14 .313 .618 5.99 8 .335 .624 6.21 14 .345 .681 6.04 13 .367 .684 6.22 16 .367 .725 6.03 9 .393 .732 6.16 3 .391 .772 6.05 16 .429 .799 6.16 8 .418 .825 6.01 14 .458 .853 6.15 4 .444 .877 6.02 8 .492 .916 6.20 4 .463 .914 6.03 8 .510 .950 6.20 4 .494 .976 5.73 9 .526 .980 5.98 3 V 46. V 47. .013d .021P 5.55 7 - - - - .043 .070 5.44 7 - - - - .078 .127 5.32 9 - - - - .105 .171 5.39 7 - - - - .135 .220 5.56 3 .120d .222P 5.43 8 .168 .274 5.65 4 .149 .275 5.49 10 .197 .321 5.67 5 .178 .329 5.49 7 .232 .378 5.70 5 .204 .377 5.56 12 .261 .426 5.74 13 .233 .431 5.64 8 .292 .476 5.79 19 .256 .473 5.73 9 .325 .546 5.84 16 .282 .521 5.80 5 .354 .577 5.81 13 .312 .577 5.83 5 .381 .621 5.87 14 .338 .625 5.81 8 .415 .677 5.92 14 .367 .678 5.87 10 .443 .722 5.95 16 .396 .732 5.93 11 .476 .776 5.91 19 .422 .780 5.90 14 .506 .825 5.88 13 .446 .824 5.86 9 .536 .874 5.92 10 .472 .872 5.95 8 .568 .926 5.90 10 .499 .922 5.92 14 .595 .970 5.77 6 .525 .969 5.74 12 Table 8 (continued) Phase m-10 n Phase m-10 n V 48. V 49. .018d .029P 5.46 7 - - - - .048 .076 5.33 6 - - - - .076 .121 5.23 5 - - - - .111 .177 5.29 10 - - - - .143 .228 5.40 13 .123d .224P 5.48 12 .173 .276 5.49 17 .150 .274 5.60 9 .201 .320 5.55 11 .170 .310 5.76 2 .234 .373 5.60 9 .207 .378 5.81 6 .267 .425 5.69 15 .233 .425 5.85 9 .294 .468 5.70 15 .259 .472 5.91 8 .330 .526 5.81 11 .290 .529 5.96 9 .359 .572 5.81 11 .313 .571 5.98 11 .390 .621 5.88 14 .341 .622 5.99 11 .425 .677 5.85 10 .369 .673 6.03 13 .454 .723 5.79 8 .399 .728 6.06 15 .487 .776 5.79 8 .427 .779 5.98 17 .517 .823 5.80 12 .453 .826 6.03 14 .550 .876 5.86 9 .480 .876 6.04 12 .575 .916 5.92 5 - - - - .619 .986 5.69 9 - - - - V 50. V 51. - - - - .014d .024P 5.44 7 - - - - .035 .060 5.19 5 - - - - .052 .089 5.18 8 - - - - .071 .122 5.30 10 - - - - .095 .163 5.44 11 .140d .273P 5.57 13 .126 .216 5.53 12 .166 .324 5.74 11 .155 .265 5.69 12 .193 .376 5.78 9 .191 .327 5.81 12 .220 .429 5.94 13 .223 .382 5.87 15 .242 .472 6.00 13 .257 .440 5.94 21 .268 .522 5.95 9 .292 .500 6.06 15 .296 .577 6.05 7 .327 .560 6.15 13 .321 .626 6.09 12 .357 .611 6.16 14 .345 .672 6.03 16 .389 .666 6.17 9 .369 .719 6.05 11 .423 .724 6.14 8 .397 .774 6.08 10 .466 .798 6.03 4 .421 .821 6.10 9 .494 .846 6.13 14 .450 .877 6.06 8 .523 .896 6.16 10 .474 .924 6.06 4 .552 .945 6.16 6 .500 .974 5.97 2 .574 .983 5.92 6 Table 8 (continued) Phase m-10 n Phase m-10 n V 52. V 53. - - - - .011d .022P 5.00 12 - - - - .027 .053 4.69 6 - - - - .050 .099 4.78 7 - - - - .072 .143 4.96 12 .112d .217P 5.42 10 .094 .186 5.14 16 .141 .273 5.58 11 .123 .244 5.25 11 .168 .325 5.72 9 .150 .297 5.39 15 .193 .374 5.82 10 .175 .347 5.46 14 .218 .422 5.87 14 .203 .402 5.61 12 .245 .475 5.88 17 .232 .460 5.67 12 .270 .523 5.96 13 .258 .511 5.65 9 .297 .575 6.04 14 .289 .572 5.84 4 .324 .628 6.04 17 .315 .624 5.86 9 .348 .674 6.06 9 .342 .677 5.86 10 .375 .726 5.95 1 .371 .735 5.79 9 .396 .767 6.11 3 .398 .788 5.75 6 .428 .829 6.07 5 .424 .840 5.80 8 .450 .872 6.01 8 .452 .895 5.85 10 .479 .928 6.04 13 .474 .939 5.90 8 - - - - .493 .976 5.63 11 V 54. V 55. .013d .026P 5.23 11 .011d .021P 5.31 11 .039 .077 4.92 10 .031 .059 4.97 13 .062 .122 4.95 12 .050 .094 5.03 9 .086 .170 5.03 17 .070 .132 5.23 13 .115 .227 5.15 12 .091 .172 5.38 13 .139 .275 5.35 15 .115 .217 5.55 16 .164 .324 5.43 9 .145 .274 5.69 16 .191 .377 5.55 5 .181 .342 5.82 11 .217 .429 5.64 7 .202 .381 5.88 9 .240 .474 5.73 10 .236 .445 6.07 10 .265 .523 5.82 10 .265 .500 6.12 8 .286 .565 5.73 4 .297 .561 6.21 8 .315 .622 5.89 10 .325 .613 6.23 6 .340 .672 5.88 12 .364 .687 6.27 5 .364 .719 5.81 9 .388 .732 6.24 10 .390 .770 5.85 9 .414 .781 6.18 10 .418 .826 5.75 4 .447 .844 6.21 12 .439 .867 5.90 3 .475 .897 6.25 11 .469 .926 5.94 6 .502 .948 6.27 9 .496 .980 5.58 6 .521 .983 5.89 9 Table 8 (continued) Phase m-10 n Phase m-10 n V 56. V 57. .009d .027P 5.59 12 .017d .033P 5.08 3 .025 .076 5.45 14 .042 .082 4.87 5 .043 .130 5.47 9 .066 .129 5.13 10 .060 .182 5.39 8 .091 .178 5.31 9 .076 .231 5.40 13 .119 .232 5.45 12 .090 .273 5.38 10 .143 .279 5.63 15 .107 .325 5.45 8 .165 .322 5.72 14 .125 .379 5.54 7 .192 .375 5.79 16 .141 .428 5.63 12 .215 .420 5.88 14 .159 .482 5.70 12 .242 .472 6.02 12 .174 .528 5.76 10 .268 .523 6.09 8 .189 .573 5.86 9 .293 .572 6.14 12 .208 .631 5.92 12 .319 .623 6.18 17 .224 .680 5.98 9 .344 .672 6.18 9 .238 .722 6.02 7 .373 .728 6.05 11 .256 .777 6.02 11 .398 .777 6.02 9 .273 .828 6.01 7 .424 .828 6.13 5 .290 .880 6.02 14 .453 .884 6.31 1 .307 .931 5.95 14 .474 .925 6.20 5 .322 .977 5.79 12 .492 .961 5.85 1 V 58. V 59. .009d .017P 4.93 14 .014d .024P 5.45 7 .029 .056 4.61 16 .046 .078 5.26 11 .049 .095 4.66 17 .073 .124 5.37 4 .070 .135 4.83 9 .101 .172 5.48 10 .094 .182 4.98 14 .134 .228 5.59 8 .125 .242 5.23 9 .162 .275 5.69 13 .149 .288 5.28 4 .189 .321 5.81 14 .182 .352 5.48 4 .219 .372 5.89 14 .208 .402 5.55 6 .246 .418 5.91 8 .235 .454 5.62 8 .281 .477 5.98 13 .266 .514 5.71 6 .312 .530 6.02 12 .293 .567 5.81 6 .338 .574 6.09 10 .322 .623 5.77 12 .365 .620 6.06 10 .349 .675 5.79 8 .397 .674 6.12 9 .378 .731 5.71 13 .427 .725 6.18 10 .403 .779 5.78 8 .456 .774 6.14 18 .431 .834 5.76 7 .488 .829 6.20 13 .462 .894 5.80 14 .518 .880 6.18 9 .487 .942 5.91 9 .546 .927 6.16 10 .508 .982 5.49 12 .575 .977 5.86 8 Table 8 (continued) Phase m-10 n Phase m-10 n V 60. V 61. .022d .031P 5.46 10 - - - - .053 .075 5.25 12 - - - - .089 .125 5.36 7 - - - - .125 .176 5.43 14 - - - - .160 .226 5.56 17 - - - - .198 .280 5.63 13 .144d .276P 5.69 12 .231 .326 5.68 13 .170 .326 5.77 15 .254 .359 5.82 13 .192 .369 5.88 11 .292 .413 5.82 7 .220 .422 5.97 9 .340 .480 5.84 10 .249 .478 6.07 9 .373 .527 5.87 8 .271 .520 6.21 5 .407 .575 5.91 6 .298 .572 6.19 4 .446 .630 5.99 8 .323 .620 6.19 6 .479 .677 6.01 10 .352 .676 6.20 7 .516 .729 6.03 12 .374 .718 6.22 6 .548 .774 6.04 19 .401 .770 6.17 9 .582 .822 6.07 11 .430 .825 6.21 14 .616 .870 6.14 11 .458 .879 6.20 11 .653 .923 6.10 6 .479 .920 6.19 8 .695 .982 5.74 5 .513 .985 5.83 8 V 62. V 63. .017d .026P 5.67 16 - - - - .048 .074 5.52 13 - - - - .080 .123 5.44 15 - - - - .112 .172 5.53 12 - - - - .147 .225 5.65 6 .129d .226P 5.67 5 .176 .270 5.68 4 .161 .282 5.74 5 .211 .323 5.79 6 .187 .328 5.84 6 .246 .377 5.88 8 .215 .377 5.86 5 .276 .423 5.88 11 .246 .431 5.94 6 .308 .472 5.96 14 .269 .472 6.00 12 .343 .526 6.00 10 .298 .522 6.14 9 .376 .576 6.03 17 .327 .573 6.19 10 .407 .624 6.10 12 .356 .624 6.19 11 .444 .681 6.09 9 .386 .677 6.17 12 .471 .722 6.11 8 .411 .721 6.17 12 .504 .773 6.09 8 .441 .773 6.11 7 .535 .820 6.12 6 .472 .827 6.16 15 .573 .878 6.15 8 .500 .877 6.14 13 .600 .921 6.12 11 .528 .926 6.21 13 .637 .976 5.88 15 .559 .980 5.94 11 Table 8 (continued) Phase m-10 n Phase m-10 n V 64. V 65. .016d .026P 5.60 11 .019d .028P 5.37 9 .049 .081 5.42 9 .052 .078 5.12 10 .078 .129 5.41 14 .084 .126 5.13 9 .105 .173 5.54 15 .117 .175 5.25 6 .135 .223 5.65 16 .149 .223 5.34 8 .166 .274 5.71 9 .181 .271 5.46 6 .198 .327 5.81 10 .216 .323 5.61 10 .226 .373 5.89 8 .250 .374 5.77 12 .258 .426 5.96 12 .285 .426 5.79 11 .287 .474 6.04 13 .319 .477 5.88 13 .317 .524 6.03 19 .348 .521 5.90 11 .348 .575 6.12 10 .386 .578 5.95 10 .374 .618 6.16 6 .418 .625 6.02 13 .406 .671 6.13 9 .453 .678 6.05 15 .437 .722 6.15 8 .483 .723 6.05 15 .469 .775 6.09 8 .516 .772 6.04 7 .500 .826 6.17 10 .550 .823 6.04 12 .529 .874 6.24 9 .588 .880 6.20 9 .557 .920 6.22 8 .621 .929 6.19 15 .593 .979 5.93 6 .653 .977 5.97 11 V 66. V 67. .017d .027P 5.29 12 - - - - .045 .073 5.22 9 - - - - .078 .126 5.31 18 - - - - .108 .174 5.41 14 - - - - .137 .221 5.51 13 .130d .229P 5.47 11 .169 .273 5.64 8 .159 .280 5.60 10 .206 .332 5.70 3 .185 .325 5.69 10 .230 .371 5.72 8 .215 .378 5.75 11 .267 .431 5.80 9 .241 .424 5.84 10 .295 .476 5.78 8 .269 .473 5.90 10 .322 .519 5.92 8 .299 .526 5.91 12 .356 .574 5.92 8 .328 .577 6.00 11 .384 .619 5.91 12 .355 .625 6.04 12 .420 .677 5.95 18 .384 .676 6.06 12 .454 .732 5.90 11 .410 .721 6.05 11 .479 .772 5.85 11 .438 .771 5.94 13 .511 .824 5.86 10 .470 .827 6.03 8 .536 .864 5.91 5 .500 .880 6.17 7 .573 .924 5.88 12 .525 .924 6.08 12 .605 .976 5.71 9 .556 .978 5.82 10 Table 8 (continued) Phase m-10 n Phase m-10 n V 69. V 71. .010d .018P 5.45 6 .010d .018P 5.30 11 .039 .069 5.25 3 .029 .053 5.08 9 .073 .129 5.16 10 .052 .095 5.16 7 .097 .171 5.31 12 .078 .142 5.22 10 .125 .221 5.40 5 .108 .197 5.40 11 .155 .274 5.55 6 .137 .250 5.51 10 .189 .334 5.71 8 .167 .304 5.64 12 .211 .372 8.77 9 .195 .355 5.72 14 .243 .429 5.74 13 .224 .408 5.78 12 .272 .480 5.85 10 .256 .466 5.88 10 .300 .529 5.89 7 .284 .517 5.72 8 .326 .575 5.89 9 .318 .579 5.89 6 .357 .630 5.80 9 .348 .634 6.13 4 .379 .669 5.81 8 .376 .685 5.98 8 .411 .725 6.00 8 .407 .741 5.97 11 .440 .777 6.02 7 .436 .794 6.03 8 .467 .824 5.94 9 .468 .852 5.95 17 .493 .870 6.03 7 .497 .905 6.03 12 .524 .925 6.02 8 .519 .945 5.93 6 .552 .974 5.88 8 .541 .985 5.63 9 V 72. V 74. .009d .020P 5.18 13 .009d .018P 5.15 12 .030 .066 4.81 7 .030 .061 4.80 15 .048 .105 4.94 8 .050 .102 4.91 10 .068 .149 5.18 6 .070 .142 5.11 10 .094 .206 5.43 6 .093 .189 5.26 13 .121 .265 5.64 9 .118 .240 5.45 7 .143 .314 5.80 6 .150 .305 5.60 8 .168 .368 5.90 11 .176 .358 5.81 7 .191 .419 6.03 10 .202 .410 5.97 9 .217 .476 6.15 11 .230 .467 6.04 11 .242 .531 6.19 10 .260 .528 6.10 13 .270 .592 6.26 14 .282 .573 6.17 15 .293 .642 6.35 9 .309 .628 6.19 13 .317 .695 6.32 13 .340 .691 6.16 7 .341 .748 6.24 12 .367 .746 6.23 10 .365 .800 6.23 14 .388 .788 6.18 9 .385 .844 6.27 12 .417 .847 6.06 10 .405 .888 6.28 12 .440 .894 6.18 8 .425 .932 6.26 15 .465 .945 6.09 7 .446 .978 6.01 8 .481 .977 5.88 11 Table 8 (continued) Phase m-10 n Phase m-10 n V 75. V 76. .008d .025P 5.50 12 .002d .004P 5.45 9 .025 .080 5.43 12 .029 .058 4.91 10 .040 .127 5.39 11 .053 .106 5.08 12 .054 .172 5.38 12 .074 .147 5.25 13 .069 .220 5.39 11 .100 .199 5.48 13 .087 .277 5.42 13 .128 .255 5.62 13 .102 .325 5.47 7 .153 .305 5.86 11 .118 .376 5.47 8 .178 .355 5.93 10 .133 .423 5.57 9 .210 .419 6.19 8 .149 .474 5.61 8 - - - - .165 .525 5.71 8 .272 .542 6.28 10 .179 .570 5.80 9 - - - - .196 .624 5.85 12 .316 .630 6.28 12 .212 .675 5.90 11 - - - - .229 .729 5.98 13 .348 .694 6.10 9 .245 .780 5.97 11 .376 .749 6.17 8 .260 .828 5.94 11 .408 .813 6.15 11 .274 .872 5.90 8 - - - - .289 .920 5.88 10 .459 .915 6.46 6 .306 .974 5.75 14 - - - - V 77. V 78. .011d .024P 4.91 11 .009d .015P 5.29 11 .029 .063 4.65 8 .050 .082 4.92 7 .048 .104 4.83 10 .082 .134 5.04 6 .069 .150 5.00 7 .109 .178 5.06 7 .090 .196 5.24 11 .134 .219 5.19 12 .113 .246 5.31 10 .166 .271 5.25 11 .138 .300 5.59 9 .202 .330 5.30 10 .164 .357 5.63 8 .228 .373 5.33 14 .185 .403 5.60 7 .264 .431 5.42 8 .216 .470 5.94 8 .291 .476 5.39 15 .240 .522 5.95 7 .323 .528 5.47 14 .265 .577 6.08 5 .346 .565 5.49 9 .288 .627 5.91 8 .381 .623 5.62 7 .311 .677 6.06 8 - - - - .340 .740 5.99 6 - - - - .367 .799 5.94 8 .483 .789 5.77 4 .388 .845 5.92 9 .509 .832 5.69 5 .407 .886 6.04 8 .538 .879 5.69 6 .428 .932 6.05 8 .566 .925 5.68 13 .449 .977 5.71 8 .596 .974 5.52 14 Table 8 (continued) Phase m-10 n Phase m-10 n V 79. V 80. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - .105d .217P 5.50 5 - - - - .134 .277 5.68 6 .150d .279P 5.72 8 .158 .327 5.90 6 .176 .327 5.82 6 .182 .377 5.98 6 .202 .375 5.93 7 .210 .434 6.06 6 .228 .423 5.94 7 .231 .478 6.19 12 .251 .466 6.02 6 .252 .521 6.27 6 .284 .527 6.10 7 .276 .571 6.23 6 .312 .579 6.14 7 .301 .623 6.33 11 .336 .624 6.15 11 .329 .681 6.23 13 .364 .676 6.16 19 .353 .730 6.29 15 .392 .728 6.22 13 .377 .780 6.21 15 .416 .773 6.15 15 .397 .821 6.24 16 .444 .825 6.16 14 .421 .871 6.27 20 .473 .878 6.07 14 .446 .923 6.27 14 .498 .925 6.07 12 .471 .974 6.00 16 - - - - V 81. V 82. .014d .026P 5.21 10 .010d .019P 5.29 9 .040 .076 5.02 8 .030 .057 4.96 7 .064 .121 5.14 8 .049 .093 5.03 8 .095 .180 5.42 6 .072 .137 5.22 8 .119 .225 5.47 9 .103 .196 5.44 14 .146 .276 5.64 10 .133 .254 5.60 17 .172 .325 5.76 6 .161 .307 5.71 11 .198 .374 5.88 13 .188 .358 5.80 9 .224 .423 6.01 16 .218 .416 5.96 11 .253 .478 6.08 9 .246 .469 6.08 15 .277 .524 6.21 11 .272 .519 6.17 16 .304 .575 6.21 11 .302 .576 6.25 13 .330 .624 6.25 8 .329 .627 6.29 15 .356 .673 6.22 13 .360 .686 6.33 11 .385 .728 6.20 12 .382 .728 6.25 10 .411 .777 6.24 18 .414 .789 6.22 6 .435 .822 6.27 12 .443 .845 6.19 9 .463 .875 6.28 12 .470 .896 6.22 6 .487 .920 6.26 8 .497 .948 6.29 7 .520 .983 5.94 7 .514 .980 6.07 5 Table 8 (continued) Phase m-10 n Phase m-10 n V 83. V 84. .009d .018P 5.25 13 .016d .027P 5.46 11 .031 .062 4.87 14 .043 .072 5.27 10 .049 .098 5.04 11 .072 .121 5.31 14 .073 .146 5.24 12 .103 .173 5.45 8 .103 .205 5.45 8 .135 .227 5.59 7 .128 .255 5.57 13 .162 .272 5.68 7 .155 .309 5.74 8 .199 .334 5.74 7 .178 .355 5.78 3 .225 .378 5.77 11 .211 .421 5.97 8 .253 .425 5.84 11 .236 .471 6.05 14 .282 .473 5.90 11 .265 .529 6.14 10 .315 .529 5.95 10 .290 .579 6.23 8 .340 .571 6.00 13 .320 .638 6.29 8 .376 .614 6.05 20 .351 .700 6.26 6 .402 .675 6.05 16 .369 .736 6.24 1 .429 .720 6.06 14 .405 .808 6.23 9 .461 .774 5.96 10 .427 .852 6.23 15 .489 .821 5.95 3 .450 .898 6.28 15 .518 .870 6.09 6 .469 .936 6.32 16 .554 .930 6.11 8 .488 .974 6.06 15 .582 .977 5.87 13 V 85. V 86. .009d .025P 5.51 8 .006d .020P 5.58 9 .028 .079 5.40 10 .023 .079 5.46 10 .045 .126 5.35 8 .036 .123 5.46 10 .061 .171 5.33 13 .048 .164 5.50 12 .081 .228 5.33 10 .066 .226 5.41 13 .096 .270 5.33 11 .081 .277 5.45 11 .116 .326 5.34 13 .095 .325 5.58 15 .133 .374 5.41 17 .109 .372 5.58 9 .154 .433 5.52 9 .124 .424 5.69 14 .169 .475 5.60 11 .138 .472 5.77 11 .188 .528 5.71 12 .154 .526 5.84 12 .205 .576 5.82 7 .168 .574 5.89 11 .222 .624 5.84 12 .184 .629 6.01 11 .240 .675 5.86 10 .198 .677 6.03 14 .258 .725 5.90 10 .210 .718 6.04 10 .275 .773 5.90 9 .224 .765 6.06 6 .294 .826 5.92 7 .240 .820 6.03 7 .310 .871 5.88 7 .255 .871 6.02 7 .329 .925 5.81 9 .269 .919 5.95 10 .347 .975 5.66 13 .285 .974 5.80 5 Table 8 (continued) Phase m-10 n Phase m-10 n V 87. V 88. .008d .022P 5.32 9 .008d .027P 5.32 9 .027 .076 5.19 5 .023 .077 5.15 10 .041 .115 5.14 2 .040 .134 5.08 8 .063 .176 5.17 16 .053 .178 5.09 10 .080 .224 5.13 10 .063 .211 5.11 8 .097 .271 5.14 14 .083 .278 5.14 13 .114 .319 5.23 15 .097 .325 5.13 10 .133 .372 5.34 12 .111 .372 5.15 7 .153 .428 5.36 10 .129 .432 5.24 9 .169 .473 5.41 15 .143 .479 5.27 7 .187 .523 5.53 16 .158 .529 5.38 8 .206 .576 5.61 11 .172 .576 5.42 10 .224 .627 5.59 14 .187 .626 5.50 12 .240 .671 5.58 8 .202 .677 5.55 6 .258 .722 5.62 8 .219 .734 5.60 9 .276 .772 5.66 8 .231 .774 5.62 13 .294 .822 5.67 7 .245 .821 5.64 12 .314 .878 5.67 7 .263 .881 5.66 10 .331 .926 5.63 12 .279 .935 5.67 9 .349 .976 5.49 9 .292 .978 5.50 14 V 89. V 90. .006d .011P 5.30 5 .013d .025P 5.18 10 .024 .044 4.99 4 .033 .064 4.92 7 .035 .064 4.85 2 .051 .099 4.98 8 .062 .113 5.00 7 .072 .139 5.19 5 .097 .177 5.18 8 .098 .190 5.36 6 .127 .232 5.33 10 .128 .248 5.61 7 .159 .290 5.53 11 .150 .290 5.73 6 .190 .346 5.53 12 .179 .346 5.84 4 .224 .408 5.72 6 .213 .412 5.89 5 .262 .478 5.81 8 .242 .468 6.02 9 .294 .536 5.79 12 .267 .516 6.10 10 .322 .587 5.84 12 .297 .574 6.14 7 .354 .645 5.88 13 .328 .634 6.21 7 .388 .707 5.85 16 .358 .692 6.17 16 .421 .768 5.85 22 .384 .743 6.17 23 .456 .831 5.87 16 .415 .803 6.14 14 .488 .890 5.94 17 .443 .857 6.17 22 .511 .932 5.91 9 .467 .903 6.23 16 .527 .961 5.90 7 .489 .946 6.24 8 .544 .992 5.58 8 .510 .986 5.88 9 Table 8 (continued) Phase m-10 n Phase m-10 n V 91. V 92. .025d .047P 4.92 2 .015d .030P 5.16 14 .051 .096 5.19 3 .036 .071 4.98 11 .077 .145 5.29 5 .056 .111 5.02 11 .104 .196 5.45 9 .077 .153 5.22 12 .132 .249 5.57 10 .101 .201 5.39 13 .157 .296 5.67 9 .129 .256 5.58 15 .181 .341 5.77 13 .159 .316 5.70 8 .209 .394 5.80 13 .181 .359 5.80 6 .235 .443 6.00 13 .208 .413 5.91 4 .265 .500 6.01 9 .240 .477 6.04 6 .289 .545 6.05 11 .271 .538 6.11 6 .313 .590 6.18 8 .298 .592 6.14 7 .341 .643 6.16 15 .323 .641 6.19 8 .369 .696 6.22 14 .351 .697 6.21 7 .395 .745 6.20 14 .382 .759 6.30 8 .423 .798 6.19 16 .412 .818 6.30 4 .447 .843 6.25 20 .440 .874 6.22 8 .475 .896 6.20 9 .461 .915 6.30 7 .499 .941 6.13 6 .479 .951 6.18 9 .529 .998 5.64 6 .499 .991 5.71 11 V 93. V 94. .015d .025P 5.53 8 .007d .013P 5.45 1 .047 .078 5.31 6 - - - - .082 .136 5.29 4 .065 .124 5.11 1 .105 .174 5.52 8 .097 .185 5.47 5 .134 .222 5.64 5 .125 .239 5.61 10 .170 .282 5.75 5 .153 .292 5.74 7 .194 .322 5.78 12 .177 .338 5.83 11 .227 .377 5.86 11 .201 .384 5.95 14 .255 .423 5.93 8 .225 .430 6.01 12 .287 .477 5.97 9 .253 .483 6.12 9 .318 .528 6.00 8 .281 .537 6.14 10 .353 .586 6.12 9 .306 .584 6.22 15 .380 .631 6.09 10 .336 .642 6.28 13 .407 .676 6.10 20 .359 .686 6.25 16 .437 .726 6.15 26 .386 .737 6.27 15 .467 .775 6.12 17 .412 .787 6.22 17 .495 .822 6.12 14 .440 .840 6.25 18 .526 .873 6.24 8 .464 .886 6.30 10 .557 .925 6.20 7 .492 .939 6.29 15 .589 .978 5.91 8 .511 .976 6.11 7 Table 8 (continued) Phase m-10 n Phase m-10 n V 96. V 97. .013d .026P 4.98 6 .006d .018P 5.72 12 .031 .062 4.75 6 .026 .078 5.63 10 .051 .102 4.85 10 .043 .128 5.56 15 .072 .144 5.08 10 .059 .176 5.56 16 .091 .182 5.17 10 .077 .230 5.54 13 .119 .238 5.35 5 .091 .272 5.54 13 .151 .302 5.58 13 .110 .328 5.55 13 .176 .352 5.67 14 .125 .373 5.61 16 .202 .404 5.82 14 .140 .418 5.65 12 .232 .465 5.86 11 .158 .472 5.79 13 .257 .515 5.97 15 .178 .531 5.88 7 .290 .581 6.04 10 .194 .579 5.89 8 .316 .633 6.09 13 .210 .627 5.95 4 .342 .685 6.10 16 .226 .675 5.94 7 .369 .739 6.07 15 .243 .726 6.05 11 .397 .795 6.03 11 .259 .773 6.00 6 .424 .849 6.00 11 .277 .827 6.03 6 .451 .903 6.06 7 .293 .875 6.03 10 .471 .943 6.00 6 .308 .920 5.98 9 .490 .981 5.80 7 .325 .970 5.86 10 V 100. V 101. .018d .029P 5.47 9 .015d .023P 5.47 8 .046 .074 5.37 16 .051 .079 5.30 13 .075 .121 5.31 12 .083 .129 5.38 11 .112 .181 5.39 7 .112 .174 5.29 11 .145 .234 5.56 4 .142 .221 5.36 12 .171 .276 5.58 7 .177 .275 5.38 10 .200 .323 5.63 8 .209 .325 5.41 9 .232 .375 5.75 6 .240 .373 5.57 11 .263 .425 5.76 7 .275 .427 5.63 6 .293 .473 5.92 3 .303 .471 5.66 2 .326 .527 5.90 4 .344 .534 5.69 7 .357 .577 5.87 14 .373 .579 5.66 11 .389 .629 5.89 17 .400 .621 5.77 9 .418 .675 5.89 17 .434 .674 5.74 9 .446 .721 5.90 17 .464 .721 5.87 11 .479 .774 5.91 9 .498 .773 5.73 7 .508 .821 5.88 7 .534 .829 5.75 15 .543 .877 5.93 4 .563 .874 5.74 7 .574 .928 5.95 13 .595 .924 5.77 7 .606 .979 5.73 16 .629 .977 5.69 9 Table 8 (continued) Phase m-10 n Phase m-10 n V 104. V 105. .011d .019P 4.95 6 .007d .024P 5.47 9 .031 .054 4.74 5 .021 .073 5.34 14 .051 .089 4.83 9 .036 .125 5.34 8 .070 .123 4.94 13 .050 .174 5.36 11 .097 .170 5.14 15 .065 .226 5.35 11 .130 .228 5.27 10 .079 .275 5.33 7 .161 .282 5.53 4 .093 .323 5.38 10 .197 .346 5.60 6 .108 .375 5.41 13 .224 .393 5.62 9 .121 .421 5.46 9 .257 .451 5.67 12 .137 .476 5.52 15 .286 .502 5.98 4 .151 .525 5.61 11 .322 .565 5.79 7 .166 .577 5.67 7 .353 .619 6.05 6 .179 .622 5.63 7 .385 .676 5.92 7 .195 .678 5.70 9 .417 .732 6.00 6 .209 .726 5.67 10 .446 .783 5.85 4 .223 .775 5.71 8 .482 .846 5.92 4 .238 .827 5.71 9 .514 .904 5.92 3 .253 .879 5.70 10 .544 .955 5.88 5 .266 .925 5.66 13 .562 .986 5.61 6 .280 .973 5.55 14 V 106. V 107. .011d .020P 5.44 10 .007d .023P 5.57 11 .038 .069 5.18 13 .023 .074 5.49 10 .063 .115 5.26 9 .038 .123 5.46 12 .096 .175 5.41 3 .055 .178 5.40 10 .124 .227 5.52 6 .072 .233 5.42 11 .149 .272 5.54 9 .087 .282 5.49 6 .181 .331 5.65 9 .101 .327 5.52 10 .208 .380 5.73 8 .116 .375 5.59 14 .236 .431 5.79 11 .130 .421 5.65 13 .261 .477 5.83 12 .147 .476 5.75 10 .287 .525 5.87 8 .161 .521 5.81 8 .316 .578 5.95 8 .176 .570 5.91 11 .345 .631 5.93 7 .194 .628 5.98 12 .369 .674 5.98 14 .210 .680 6.03 11 .398 .727 5.99 8 .226 .731 5.99 10 .424 .775 5.99 10 .241 .780 6.05 9 .449 .821 6.05 17 .254 .822 6.01 9 .476 .870 6.02 14 .268 .867 6.04 10 .504 .921 5.97 11 .287 .929 6.00 9 .532 .972 5.81 13 .301 .974 5.80 13 Table 8 (continued) Phase m-10 n Phase m-10 n V 108. V 109. .006d .012P 5.49 3 .013d .024P 4.83 5 .031 .060 5.05 5 .038 .071 4.57 6 .049 .094 5.11 3 .067 .125 4.81 8 .072 .139 5.16 4 .097 .182 4.90 10 .090 .173 5.36 5 .123 .230 5.07 10 .115 .221 5.56 9 .146 .273 5.18 10 .147 .283 5.73 11 .176 .330 5.38 8 .177 .341 5.87 17 .203 .380 5.45 6 .206 .396 5.96 14 .226 .423 5.53 6 .236 .454 6.06 18 .255 .478 5.55 10 .265 .510 6.15 13 .284 .532 5.52 8 .294 .566 6.23 17 .311 .582 5.48 6 .326 .627 6.25 17 .336 .629 5.60 11 .354 .681 6.21 16 .361 .676 5.59 12 .384 .739 6.28 16 .387 .725 5.50 13 .413 .795 6.29 14 .413 .774 5.65 13 .445 .856 6.19 10 .439 .822 5.56 13 .466 .897 6.33 5 .463 .867 5.68 10 .490 .943 6.18 8 .492 .921 5.65 7 .507 .976 6.10 3 .521 .976 5.47 3 V 110. V 113. .011d .021 5.25 11 .011d .021P 5.02 5 .040 .075 5.03 9 .033 .064 4.95 9 .071 .133 5.12 9 .049 .096 5.04 15 .092 .172 5.25 7 .071 .138 5.19 15 .123 .230 5.24 11 .094 .183 5.42 20 .148 .276 5.40 11 .124 .242 5.60 23 .172 .321 5.50 11 .150 .292 5.74 17 .201 .375 5.52 15 .179 .349 5.86 10 .225 .420 5.56 7 .207 .404 6.00 16 .252 .471 5.71 7 .238 .464 6.14 14 .284 .530 5.70 5 .267 .520 6.21 10 .306 .572 5.79 5 .290 .565 6.22 5 .334 .624 5.87 6 .336 .655 6.18 2 .366 .684 5.87 6 .351 .688 6.19 6 .391 .730 5.94 8 .380 .741 6.23 5 .418 .781 5.86 5 .412 .803 6.22 4 .439 .820 5.79 10 .438 .854 6.18 9 .474 .885 5.88 6 .462 .901 6.24 7 .495 .925 5.76 11 .483 .942 6.23 7 .520 .971 5.57 14 .502 .979 5.99 4 Table 8 (continued) Phase m-10 n Phase m-10 n V 114. V 115. .013d .022P 5.59 7 .007d .014P 5.31 10 .048 .080 5.19 4 .028 .055 4.98 6 .074 .124 5.36 5 .051 .099 5.09 7 .103 .172 5.50 8 .069 .134 5.27 8 .133 .223 5.66 7 .091 .177 5.45 13 .166 .278 5.76 9 .121 .236 5.63 9 .195 .326 5.80 10 .156 .304 5.79 8 .223 .373 5.91 11 .181 .353 5.88 9 .257 .430 5.98 15 .211 .411 6.07 11 .286 .478 6.06 16 .240 .468 6.12 16 .312 .522 6.05 13 .267 .520 6.17 9 .345 .577 6.07 12 .294 .573 6.26 10 .378 .632 6.09 12 .325 .633 6.27 13 .405 .678 6.09 16 .354 .690 6.26 9 .437 .731 6.12 11 .381 .742 6.24 15 .464 .776 6.14 12 .410 .799 6.30 12 .493 .825 6.11 9 .441 .859 6.29 13 .521 .872 6.19 9 .467 .910 6.33 5 .550 .920 6.22 9 .484 .943 6.33 8 .584 .977 5.90 12 .503 .980 6.04 11 V 116. V 117. .010d .019P 5.24 7 .016d .027P 5.32 10 .028 .054 4.90 7 .045 .075 5.26 14 .048 .093 5.07 6 .076 .127 5.43 9 .074 .144 5.25 11 .106 .177 5.52 8 .101 .196 5.48 14 .134 .223 5.65 9 .132 .256 5.68 9 .167 .278 5.70 14 .156 .303 5.81 15 .192 .320 5.76 6 .187 .363 5.90 13 .226 .376 5.88 6 .216 .420 6.08 17 .256 .426 5.94 10 .244 .474 6.16 13 .289 .481 5.96 6 .268 .521 6.26 5 .321 .535 6.08 3 .297 .577 6.31 8 .344 .573 6.15 10 .330 .641 6.36 8 .374 .623 6.09 11 .358 .695 6.40 10 .407 .678 6.13 18 .384 .746 6.24 11 .436 .726 6.10 18 .412 .800 6.24 15 .464 .773 6.12 16 .441 .857 6.29 15 .491 .818 6.19 6 .467 .907 6.28 9 .524 .873 6.20 11 .485 .942 6.31 5 .557 .928 6.08 8 .504 .979 5.97 10 .589 .981 5.81 8 Table 8 (continued) Phase m-10 n Phase m-10 n V 118. V 119. .010d .020P 5.24 15 .011d .021P 5.25 10 .031 .062 4.92 14 .032 .062 4.89 9 .048 .096 5.01 12 .054 .104 4.94 11 .074 .148 5.25 9 .072 .139 5.09 10 .102 .204 5.45 10 .095 .183 5.25 13 .128 .256 5.63 7 .126 .243 5.54 9 .156 .312 5.85 7 .153 .296 5.57 15 .178 .356 5.98 5 .185 .357 5.79 7 .206 .413 5.94 4 .213 .411 5.87 12 .233 .467 6.07 6 .242 .467 5.96 10 .261 .523 6.22 5 .270 .521 6.19 11 .291 .583 6.31 12 .301 .581 6.13 13 .319 .639 6.26 9 .331 .639 6.13 13 .349 .699 6.32 11 .357 .690 6.23 12 .373 .747 6.24 17 .388 .749 6.17 14 .398 .797 6.20 13 .419 .809 6.11 9 .425 .851 6.19 12 .447 .863 6.22 6 .448 .897 6.28 12 .477 .921 6.15 6 .469 .939 6.34 14 .493 .952 6.10 7 .489 .979 5.94 12 .510 .985 5.67 6 V 120. V 121. .018d .028P 5.70 11 .015d .028P 4.84 13 .048 .075 5.60 9 .043 .080 4.87 12 .082 .128 5.56 12 .067 .125 4.96 8 .114 .178 5.59 12 .093 .174 4.92 12 .146 .228 5.70 11 .121 .226 4.97 9 .176 .275 5.69 12 .149 .278 5.07 10 .210 .328 5.83 8 .175 .327 5.24 10 .241 .376 5.81 9 .201 .376 5.25 8 .271 .423 5.88 9 .227 .424 5.25 6 .302 .472 5.92 9 .256 .478 5.32 5 .338 .528 5.92 5 .283 .529 5.54 7 .366 .572 5.93 6 .308 .575 5.60 6 .398 .622 5.97 10 .332 .620 5.56 7 .432 .675 6.01 15 .364 .680 5.51 3 .464 .725 6.04 14 .396 .740 5.60 4 .496 .775 6.07 15 .418 .781 5.50 10 .529 .826 6.05 17 .441 .824 5.45 13 .561 .876 6.06 13 .470 .878 5.46 15 .593 .926 5.99 9 .495 .925 5.35 17 .623 .973 5.91 3 .525 .981 5.12 16 Table 8 (continued) Phase m-10 n Phase m-10 n V 123. V 124. .009d .017P 5.37 6 .016d .021P 5.65 7 .032 .059 4.93 6 .054 .072 5.60 10 .059 .108 5.21 6 .095 .126 5.54 7 .086 .158 5.44 11 .132 .175 5.50 13 .115 .211 5.61 10 .170 .226 5.52 15 .141 .259 5.79 11 .208 .276 5.62 13 .173 .317 5.91 19 .245 .326 5.65 15 .204 .374 5.98 13 .279 .371 5.71 9 .230 .422 6.09 9 .320 .425 5.72 10 .260 .477 6.17 7 .360 .478 5.79 7 .294 .539 6.22 3 .395 .525 5.76 4 .319 .585 6.28 5 .433 .575 5.83 8 .350 .642 6.25 10 .470 .625 5.88 11 .384 .704 6.23 10 .508 .675 5.89 19 .412 .755 6.24 11 .541 .719 5.87 16 .436 .799 6.32 9 .578 .768 5.93 3 .472 .865 6.29 11 .621 .825 5.86 8 .494 .906 6.22 4 .655 .871 5.96 9 .316 .946 6.28 7 .695 .924 5.87 12 .535 .981 5.94 5 .732 .973 5.76 10 V 125. V 126. .010d .029P 5.63 12 .009d .026P 5.55 13 .026 .074 5.59 12 .027 .077 5.53 15 .043 .123 5.50 12 .043 .123 5.49 7 .063 .180 5.50 13 .061 .175 5.40 8 .080 .229 5.50 8 .078 .224 5.44 11 .098 .280 5.47 7 .096 .276 5.46 14 .115 .329 5.52 10 .113 .324 5.49 9 .132 .377 5.56 9 .130 .373 5.55 13 .150 .429 5.71 8 .151 .433 5.61 8 .167 .477 5.77 9 .165 .474 5.67 9 .185 .529 5.79 13 .183 .525 5.77 6 .203 .580 5.81 7 .202 .583 5.72 8 .219 .626 5.90 8 .217 .623 5.86 9 .237 .677 5.93 11 .236 .677 5.86 9 .256 .732 5.99 8 .253 .726 5.97 12 .272 .778 6.00 13 .269 .772 5.87 15 .290 .829 5.94 9 .287 .824 5.97 9 .310 .886 5.94 11 .305 .875 5.89 6 .324 .926 5.90 13 .324 .930 5.86 8 .342 .978 5.75 14 .340 .976 5.69 11 Table 8 (continued) Phase m-10 n Phase m-10 n V 131. V 140. .007d .024P 5.30 9 .010d .030P 5.22 10 .021 .071 5.16 10 .025 .075 5.13 10 .036 .121 5.10 9 .042 .126 5.10 12 .052 .175 5.13 7 .058 .174 5.09 13 .067 .225 5.04 7 .074 .222 5.07 14 .080 .269 5.06 7 .093 .279 5.15 14 .095 .319 5.08 7 .108 .324 5.22 9 .109 .366 5.20 5 .125 .375 5.22 14 .125 .420 5.22 8 .142 .426 5.32 7 .142 .477 5.31 10 .157 .471 5.37 12 .157 .527 5.38 6 .175 .525 5.38 12 .171 .574 5.36 11 .191 .573 5.49 9 .185 .621 5.42 4 .208 .624 5.49 6 .202 .679 5.49 8 .224 .672 5.48 8 .219 .736 5.52 8 .238 .714 5.52 4 .231 .776 5.48 6 .258 .774 5.44 3 .249 .836 5.56 12 .276 .829 5.51 7 .263 .883 5.51 7 .290 .871 5.50 12 .277 .930 5.47 9 .308 .925 5.51 9 .291 .978 5.39 14 .326 .979 5.39 10 V 142. .013d .023P 5.04 9 .039 .069 4.78 11 .073 .128 4.98 11 .100 .176 5.07 17 .127 .223 5.20 13 .155 .273 5.31 8 .186 .327 5.40 10 .218 .383 5.38 10 .242 .426 5.53 14 .272 .478 5.56 8 .300 .528 5.50 8 .325 .572 5.60 6 .359 .631 5.69 5 .385 .677 5.47 6 .416 .732 5.68 4 .441 .776 5.71 7 .472 .830 5.59 6 .500 .879 5.73 7 .524 .922 5.64 7 .558 .981 5.31 8 Figure 15. Figure 16. Figure 17. Figure 18. Figure 19. Figure 20. Figure 21. Figure 22. Figure 23. Figure 24. Figure 25. Figure 26. Figure 27. Table 9 OBSERVATIONS OF THE VARIABLES. (m-10) J.D. 1 5 6 9 10 11 12 2 400 000 + 28 963.487 5.67 5.90 5.90 6.27 6.20 5.98 5.22 28 991.403 4.60 5.96 5.96 5.30 6.27 6.01 5.27 .416 4.85 6.06 5.46 5.58 6.06 5.81 5.21 .430 4.77 5.96 5.03 5.51 5.91 6.00 5.25 .522 4.90 5.75 5.13 6.05 5.19 6.12 5.04 .542 5.20 5.22 5.13 6.01 5.18 6.00 5.27 29 346.376 5.77 5.27 4.90 6.24 5.27 5.66 5.63 .392 5.81 5.69 5.23 6.26 5.44 5.77 5.85 29 719.549 5.70 6.16 5.97 6.07 5.97 4.83 5.44 .560 5.75 6.18 5.98 6.18 6.00 4.91 5.50 29 720.546 5.80 6.16 5.94 6.04 5.51 4.57 5.75 .558 5.72 6.07 6.09 6.07 5.47 4.66 5.69 29 774.405 4.73 5.90 5.68 5.36 6.13 4.73 5.30 .417 4.74 6.06 5.76 5.21 6.06 5.12 5.27 29 775.403 5.23 5.84 5.61 6.16 6.04 4.76 5.34 .415 4.84 5.97 5.65 6.17 6.15 4.77 5.20 .426 4.78 5.83 5.51 - 6.17 4.94 5.25 .437 4.80 5.88 5.69 6.34 6.10 5.11 5.33 .447 4.79 6.04 5.71 6.28 6.16 5.09 5.24 30 052.462 5.01 5.53 5.79 6.00 6.26 5.97 5.74 .474 5.20 5.26 5.26 6.00 5.79 6.15 5.83 .489 5.29 5.17 5.17 6.07 5.57 6.07 5.80 .501 5.32 5.13 4.95 6.12 5.38 6.24 6.08 30 078.418 4.81 5.46 6.03 5.88 6.14 6.22 5.23 .434 4.61 5.71 5.79 5.91 5.96 6.13 5.33 .470 5.08 5.97 5.97 6.00 6.00 6.02 5.49 .483 4.99 5.92 6.04 6.12 6.08 6.02 5.41 .498 5.03 5.87 5.98 5.94 6.07 5.98 5.47 .509 5.20 5.93 5.95 6.09 6.09 6.11 5.66 .521 5.36 5.99 5.97 6.07 6.13 6.13 5.79 .536 5.25 6.08 6.10 6.27 5.89 6.00 5.89 .548 5.26 5.96 6.07 6.07 5.94 5.98 5.82 33 390.497 5.90 6.14 5.05 5.38 5.13 6.34 5.66 .534 5.92 6.30 5.33 5.50 5.32 5.65 5.72 .545 5.95 6.00 5.33 5.69 5.25 5.25 5.75 .558 5.59 6.11 5.33 5.69 5.31 4.80 5.77 .570 5.33 6.17 5.62 5.69 5.62 4.81 5.69 .586 5.00 6.29 5.76 5.97 5.55 4.88 5.97 33 420.424 5.55 6.23 5.66 6.00 6.35 6.00 5.7& .438 5.70 6.26 5.78 5.95 6.15 6.24 6.12 .450 5.68 6.12 5.78 5.95 6.18 6.21 5.87 .476 5.62 5.98 5.64 6.01 5.98 6.09 5.93 .487 5.76 6.05 5.90 6.05 6.38 6.15 5.74 .498 5.75 5.77 5.75 5.96 6.12 5.96 5.73 .510 5.88 5.94 5.99 6.22 6.01 5.21 5.57 .523 5.78 - - 5.99 5.94 4.77 5.16 33 421.385 5.07 5.92 5.22 5.50 5.64 6.20 5.76 .442 5.42 5.97 5.46 5.85 5.92 6.04 5.87 .454 5.49 6.15 5.51 5.86 5.77 6.13 5.62 .465 5.42 6.05 5.66 5.84 5.80 6.11 5.48 .475 5.52 5.96 5.69 5.90 6.01 6.24 5.29 .486 5.65 6.05 5.82 5.89 6.02 6.22 5.19 .497 5.75 6.04 5.91 6.04 5.87 6.07 5.26 .535 5.79 6.16 5.98 5.98 6.18 5.03 5.29 .548 5.70 5.99 6.00 6.12 5.88 4.90 5.18 33 422.398 5.02 5.99 5.27 5.00 5.38 6.12 5.79 .431 5.22 6.13 5.36 5.32 5.44 6.33 5.47 .442 5.32 6.18 5.32 5.51 5.48 6.05 5.45 .452 5.33 6.16 5.46 5.37 5.46 5.95 5.46 .462 5.22 6.28 5.46 5.50 5.68 6.13 5.40 .472 5.57 6.09 5.66 5.55 5.60 6.43 5.36 .483 5.46 6.27 5.60 5.64 5.43 6.27 5.33 .493 5.42 6.00 5.59 5.54 5.72 6.31 5.27 .508 5.46 6.03 5.66 5.54 5.54 6.06 5.25 .520 5.50 5.89 5.72 5.61 5.50 6.08 5.30 33 763.406 4.90 5.98 5.12 6.08 6.04 4.99 5.80 .420 5.03 5.94 5.23 6.13 5.99 5.18 5.75 .442 5.12 5.95 5.45 6.19 6.02 5.33 5.72 .455 5.27 6.07 5.49 6.07 6.23 5.41 5.89 .464 5.35 6.03 5.60 6.09 6.13 5.52 5.78 .483 5.35 6.15 5.60 6.25 6.05 5.58 5.85 .494 5.40 5.96 5.66 6.24 5.52 5.61 5.70 .504 5.48 6.14 5.72 6.20 5.50 5.67 5.64 .514 5.49 6.04 5.80 6.25 5.26 5.78 5.63 .525 5.65 5.91 5.84 6.07 5.19 5.77 5.56 34 118.355 - 5.88 5.63 5.19 5.11 5.06 5.22 .372 5.70 5.68 - 5.30 5.02 4.73 5.15 .388 5.36 5.91 5.59 5.31 5.00 4.45 5.04 .428 4.66 5.82 5.79 5.82 5.41 5.15 5.41 .443 4.80 6.04 5.88 5.79 5.60 5.30 5.46 .470 5.06 6.06 6.08 5.79 5.69 5.36 5.58 .485 5.06 5.92 5.98 6.02 5.59 5.52 5.59 .499 5.09 6.09 6.01 5.93 5.73 5.55 5.82 .513 5.19 5.98 - 6.10 5.80 5.60 5.67 .526 5.16 5.98 - 5.82 6.08 5.45 5.78 .540 5.33 6.06 5.99 6.35 5.86 5.95 5.95 34 120.471 5.45 5.93 5.76 5.03 6.04 5.22 5.79 .484 5.01 6.07 5.83 5.03 6.30 5.27 5.81 .497 4.73 6.07 5.87 5.23 6.03 5.45 5.84 .510 4.73 6.19 5.80 5.26 6.26 5.40 5.76 .523 4.72 6.02 6.07 5.33 6.09 5.62 5.49 .536 4.88 6.00 5.98 5.48 6.13 5.60 5.39 34 120.551 4.85 6.00 5.96 5.47 6.15 5.66 5.23 .564 5.04 6.13 6.09 5.69 6.11 5.71 5.31 .579 5.16 6.10 5.94 5.63 6.00 5.83 5.28 34 121.401 5.76 5.87 5.35 6.30 5.84 5.10 5.87 .412 5.79 5.98 5.20 6.17 5.98 4.77 5.74 .422 5.72 6.04 5.50 5.95 6.00 4.74 5.69 .431 5.85 5.81 5.42 5.92 5.99 4.75 5.61 .441 5.79 5.88 5.57 6.14 5.92 4.83 5.83 .484 5.86 5.93 5.64 6.13 5.99 5.23 5.59 .495 5.88 5.98 5.74 5.94 5.94 5.22 5.44 .505 5.69 5.96 5.73 5.69 6.06 5.35 5.32 .517 5.31 6.02 5.92 5.41 6.09 5.41 5.24 .528 4.94 5.92 5.83 5.10 6.01 5.57 5.40 .539 4.64 5.98 5.92 4.95 6.05 5.56 5.26 .552 4.68 6.14 5.97 4.99 6.17 5.70 5.27 .562 4.80 6.08 - 5.03 - 5.61 5.17 .594 4.92 5.97 5.92 5.25 6.08 5.66 5.12 .605 5.02 - - 5.46 - - 5.27 34 122.404 5.61 5.88 5.10 6.08 5.44 5.80 5.64 .416 5.87 5.78 5.13 6.13 5.47 5.16 5.58 .431 5.96 5.86 5.22 6.28 5.42 4.87 5.56 34 126.433 5.63 5.76 5.92 4.94 5.52 6.04 5.58 34 131.415 5.06 5.62 6.00 5.60 5.74 6.26 5.27 34 487.347 5.74 6.14 6.06 5.97 5.97 5.99 5.74 .367 5.89 6.10 5.91 6.16 5.76 6.10 5.57 .385 5.84 6.27 6.08 6.16 5.42 6.14 5.42 .397 5.66 6.16 5.86 6.09 5.14 6.12 5.17 .410 - 6.43 5.96 6.14 5.24 6.12 - .428 - 5.95 5.96 6.15 5.07 6.11 - .438 5.84 5.66 6.14 6.19 5.25 5.93 5.30 .449 6.03 5.67 6.13 6.19 5.39 6.19 5.35 .460 6.10 5.30 6.18 6.26 5.33 6.06 5.37 .474 5.80 5.14 6.26 6.35 5.29 6.33 5.19 .483 5.89 4.83 6.16 - 5.46 6.04 5.29 .494 - 4.69 5.92 - 5.53 6.39 5.38 .508 5.34 4.80 5.32 6.24 5.53 6.20 5.45 .518 5.07 4.90 5.07 6.09 5.72 6.10 5.60 34 488.530 5.79 5.00 5.59 5.97 5.30 6.21 5.81 .540 5.71 5.00 5.34 5.92 5.06 6.01 5.78 34 567.388 5.70 5.52 5.80 5.78 6.02 5.07 5.82 35 223.415 5.67 5.79 5.95 6.43 5.77 6.27 5.77 .428 5.75 5.84 6.00 6.22 5.92 6.13 5.81 .441 5.94 5.83 6.07 6.05 6.01 6.00 5.79 .467 5.80 5.76 6.10 6.19 5.97 6.04 5.78 .490 5.85 5.66 6.07 6.12 6.08 6.14 5.88 .503 5.81 5.50 5.65 6.07 6.09 6.11 5.54 35 223.517 5.79 5.43 5.26 6.33 6.02 5.60 5.41 .530 5.81 5.45 4.89 6.30 6.01 4.96 5.24 .546 5.85 5.42 4.89 6.33 6.13 4.76 5.28 .573 5.83 5.48 5.07 5.83 6.22 4.82 5.18 35 224.454 5.88 5.72 6.02 6.21 5.44 6.13 5.63 .472 5.78 5.60 6.04 6.42 5.50 6.11 5.36 .485 5.77 5.53 6.10 6.24 5.59 6.16 5.26 .499 5.82 5.62 6.18 6.12 5.62 6.12 5.24 .512 5.84 5.42 6.32 6.30 5.63 6.14 5.21 .524 5.85 5.36 5.80 6.06 5.66 5.80 5.09 .542 5.86 5.41 5.22 6.14 5.79 5.04 5.22 .556 5.70 5.30 4.88 5.88 5.83 4.80 5.27 .569 5.82 5.48 4.80 5.99 5.74 4.73 5.34 .583 - 5.40 5.00 6.26 5.84 4.80 5.49 35 227.534 5.75 5.49 6.09 5.67 6.04 6.50 5.86 .547 - 5.48 6.12 5.78 6.22 6.26 5.80 .560 5.87 5.18 6.17 5.72 6.00 6.42 5.87 .573 5.71 5.16 6.23 5.82 6.04 6.23 6.04 .586 5.86 5.32 - 6.00 5.98 5.29 6.10 35 598.507 5.11 5.92 5.03 5.60 6.14 5.76 5.58 .524 4.82 5.86 5.18 5.74 5.79 5.63 5.92 .537 4.60 5.89 5.27 5.90 5.46 5.74 5.75 35 600.363 - 5.72 6.36 6.12 5.45 6.03 5.63 .378 5.80 5.66 6.15 6.06 5.45 5.40 5.50 .391 5.87 5.73 6.16 6.07 5.85 4.92 5.76 .405 5.86 5.66 5.82 6.02 5.70 4.66 5.71 .421 5.86 5.62 5.93 6.02 5.68 4.80 5.68 .434 5.86 5.71 5.86 6.06 5.79 4.90 5.82 .446 5.96 5.73 6.00 6.12 5.74 4.98 5.77 .501 5.93 5.71 6.00 5.85 6.04 5.44 5.78 .525 5.77 5.92 5.02 5.15 6.16 5.66 5.63 35 603.369 5.42 5.56 6.00 5.74 5.92 6.01 5.68 .381 5.66 5.66 5.98 5.84 6.25 6.27 5.84 .397 5.47 5.63 6.10 5.78 6.03 6.22 5.47 .408 5.59 5.52 6.02 5.75 6.04 5.95 5.30 .419 5.71 5.60 6.06 5.98 6.44 5.71 5.29 .431 5.68 5.60 6.26 5.94 6.06 5.28 5.43 .446 5.58 5.72 6.02 6.02 6.08 4.70 5.35 .457 - 5.73 6.24 6.06 6.19 4.70 5.32 .468 5.65 5.79 6.12 6.25 6.11 4.87 5.17 .491 5.73 5.75 6.14 6.02 6.04 4.96 5.23 .507 5.72 5.70 6.06 6.14 6.02 5.04 5.24 35 920.444 5.37 5.87 4.67 6.43 5.51 5.08 5.54 .467 5.53 6.20 4.91 6.11 5.60 5.40 5.47 .487 5.87 5.93 4.96 6.14 5.56 5.49 5.76 .504 5.50 5.91 5.08 6.09 5.76 5.54 5.66 35 920.547 5.73 5.06 5.20 6.13 5.73 5.70 5.84 .562 - 4.82 5.38 5.80 5.88 5.73 5.62 .585 - 4.88 5.40 5.05 5.78 5.89 5.35 35 933.415 5.18 5.69 5.43 6.12 5.52 6.30 5.08 .443 5.54 5.90 5.74 6.13 4.88 5.98 5.30 .479 5.43 6.00 5.64 6.30 5.15 6.02 5.47 .503 5.50 6.08 5.80 6.23 5.06 6.08 5.41 .515 5.57 6.40 5.89 6.35 5.39 6.09 5.68 .530 5.69 6.33 5.86 6.22 5.43 6.03 5.55 .543 - 5.98 5.60 6.15 5.40 5.90 5.27 .573 5.81 5.98 6.05 5.41 5.53 4.78 5.68 .588 - 5.88 5.68 4.88 5.88 4.72 5.42 .602 - 5.73 5.76 4.80 - 4.80 5.41 36 991.457 6.15 5.06 5.87 5.93 - 5.93 5.79 .470 6.19 5.29 6.11 6.19 - 6.19 5.85 .485 6.01 5.22 6.32 5.93 6.04 6.03 5.83 37 018.470 5.83 5.98 6.20 5.69 5.47 4.99 5.70 .483 5.88 6.18 6.10 5.88 5.51 4.98 - .496 5.78 5.90 5.94 5.69 5.30 5.30 5.78 .510 5.95 6.01 5.61 5.85 5.57 5.27 5.51 .523 5.96 5.99 5.20 5.89 5.64 5.51 5.22 .537 5.99 5.80 5.02 5.69 5.58 5.41 5.46 .550 5.78 - 5.02 6.00 5.69 5.46 5.29 .563 - 5.80 4.83 5.91 5.90 5.47 5.31 .577 5.84 6.12 5.18 6.06 5.84 5.76 5.35 .609 5.90 6.38 5.54 6.12 5.92 5.80 5.41 .623 5.84 6.24 5.63 6.42 6.14 5.87 5.46 .637 - 6.14 5.42 6.03 6.14 5.71 5.48 37 057.539 6.07 6.08 6.40 6.05 6.11 4.87 5.95 .552 6.16 5.92 6.27 6.04 5.98 4.80 5.85 .578 - 5.78 6.34 6.09 6.20 4.91 5.89 37 058.529 5.97 6.12 5.97 5.65 5.93 5.81 5.85 .580 - 5.79 6.40 6.26 - 4.89 5.64 37 757.598 5.15 6.22 5.54 5.11 6.05 5.95 5.33 37 791.365 4.43 5.92 6.03 6.18 5.49 6.14 5.49 .380 4.62 5.98 5.93 6.03 5.67 6.07 5.76 .394 4.89 5.97 5.96 6.08 5.68 6.19 5.67 .424 4.92 6.03 5.79 6.19 5.88 5.37 5.60 .439 - 6.06 5.97 6.08 5.82 4.90 5.78 .454 5.11 5.99 5.76 6.25 5.78 4.80 5.81 .469 5.35 5.61 5.71 6.10 5.85 5.00 5.62 .483 5.31 5.90 6.02 6.33 5.84 4.99 5.47 .497 5.30 5.82 5.93 6.27 5.80 5.11 5.22 .519 5.60 6.07 6.09 6.16 5.98 5.22 5.18 .533 5.47 5.90 6.04 6.38 6.12 5.44 5.19 .549 5.66 5.98 5.46 5.95 6.10 5.38 5.22 .563 5.73 5.89 5.12 6.23 6.16 5.46 5.33 Table 9 (continued) J.D. 13 14 15 16 17 18 19 2 400 000 + 28 963.487 5.90 5.71 5.30 6.31 6.30 6.20 5.57 28 991.403 5.81 5.27 6.18 5.63 5.24 6.35 5.54 .416 5.78 5.64 - 5.78 5.22 6.20 5.72 .430 5.78 5.47 6.14 5.78 5.25 6.14 5.63 .522 5.58 5.75 4.72 6.12 5.46 5.96 6.06 .542 5.70 5.72 4.98 6.10 5.70 5.45 5.87 29 346.376 5.81 5.93 5.97 5.60 5.14 5.55 5.97 .392 5.81 5.91 6.12 5.73 5.71 5.81 6.36 29 719.549 5.70 5.60 6.02 6.39 6.24 6.51 6.02 .560 5.41 5.61 6.04 6.10 6.10 6.25 6.06 29 720.546 5.00 6.20 5.97 6.20 6.26 6.32 6.24 .558 4.78 6.03 5.88 6.29 6.29 6.29 5.86 29 774.405 5.74 6.10 5.86 4.90 5.22 5.24 5.80 .417 6.00 6.24 5.54 4.93 5.45 5.45 5.85 29 775.403 5.95 4.97 6.02 5.53 6.14 5.11 6.16 .514 6.00 5.13 6.17 5.20 6.17 5.13 6.23 .426 5.92 5.28 6.15 4.97 6.15 5.35 6.04 .437 5.90 5.26 6.15 5.08 6.29 5.39 6.12 .447 5.90 5.36 - 4.95 5.90 5.47 6.08 30 052.462 5.28 6.00 6.03 6.31 5.97 6.26 5.80 .474 5.23 5.95 6.15 6.33 6.19 6.35 5.65 .489 5.32 6.18 6.11 6.20 5.93 5.99 5.71 .501 5.48 6.22 6.26 6.22 6.15 6.69 6.01 30 078.418 5.90 6.05 5.99 5.97 6.03 6.03 5.86 .434 5.76 6.13 6.06 6.01 6.18 5.63 5.68 .470 5.24 6.00 6.00 5.97 6.13 5.32 5.91 .483 4.89 5.92 6.02 6.14 6.02 5.22 5.98 .498 4.87 5.92 6.12 5.92 5.83 5.27 6.00 .509 4.92 6.11 6.09 6.19 5.90 5.39 5.95 .521 5.06 6.03 6.16 6.24 5.79 5.62 5.99 .536 5.11 6.06 6.12 6.29 5.70 5.58 6.02 .548 5.03 6.18 6.07 6.14 5.66 5.60 6.02 33 390.497 5.92 5.07 6.14 6.34 6.14 6.47 5.87 .534 6.12 5.33 6.08 6.30 6.05 6.24 5.55 .545 5.98 5.29 6.20 6.37 6.22 6.37 5.64 .558 5.95 5.33 6.11 6.22 6.41 6.27 5.57 .570 5.87 5.60 6.05 6.17 6.05 6.17 5.69 .586 5.97 5.53 6.24 6.37 6.37 6.40 - 33 420.424 5.95 5.25 5.28 5.03 6.13 6.13 6.00 .438 6.12 5.37 5.52 5.16 6.05 6.26 - .450 5.99 5.55 5.53 5.33 5.97 6.21 6.09 .476 5.93 5.45 5.66 5.45 6.13 6.31 6.07 .487 5.93 5.61 5.84 5.57 6.05 6.18 6.05 .498 5.73 5.50 5.92 5.56 6.31 6.31 6.08 .510 5.94 5.83 5.66 5.79 6.08 6.39 6.10 .523 5.80 5.62 5.86 5.76 - 6.15 6.17 33 421.385 5.76 5.94 5.43 6.12 5.62 5.76 6.05 .442 6.07 6.10 5.03 5.01 5.73 6.15 5.85 .454 5.99 5.95 5.22 5.15 5.68 6.00 5.70 .465 5.82 6.15 5.38 5.21 5.88 5.97 5.59 .475 5.89 6.12 5.37 5.29 5.83 6.13 5.70 .486 6.05 6.26 5.41 5.39 5.85 6.29 5.59 .497 6.07 6.13 5.53 5.50 5.75 6.40 5.51 .535 6.31 6.27 5.79 5.63 6.24 6.41 5.72 .548 5.88 - 5.86 5.70 6.22 6.40 5.66 33 422.398 6.12 5.71 6.34 6.37 6.10 5.74 6.14 .431 6.08 5.80 6.03 5.44 5.59 5.65 6.11 .442 5.99 5.76 5.63 5.05 5.57 6.10 6.22 .452 5.99 5.76 5.26 4.96 5.46 6.20 6.23 .462 6.09 5.78 4.95 5.01 5.22 6.05 6.09 .472 6.06 5.77 - 5.09 5.60 6.32 6.06 .483 5.98 5.95 4.95 5.08 5.49 6.24 - .493 6.08 5.90 4.99 5.27 5.59 6.21 6.17 .508 5.99 5.69 5.11 5.30 5.43 6.27 6.25 .520 5.78 5.89 5.24 5.50 5.61 6.60 6.12 33 763.406 6.00 5.91 5.48 6.26 6.18 6.24 5.72 .420 5.99 5.94 5.60 6.22 6.08 6.20 5.60 .442 6.02 6.02 5.64 6.17 6.06 6.20 5.69 .455 6.10 5.98 5.85 6.32 6.39 6.12 5.66 .464 6.09 5.99 5.78 6.21 6.28 6.38 5.76 .483 5.96 6.05 5.80 6.29 6.23 6.17 5.87 .494 5.88 6.08 5.81 6.15 6.11 6.31 5.79 .504 6.02 6.02 5.83 6.16 6.25 6.41 5.81 .514 6.02 6.02 5.85 6.19 5.85 6.38 5.88 .525 6.13 6.15 5.98 6.40 5.61 6.23 5.98 34 118.355 5.76 5.88 5.97 6.12 6.16 5.00 5.96 .372 5.68 5.83 5.98 6.41 6.11 5.20 5.90 .388 5.87 6.00 6.10 6.22 5.80 5.22 - .428 5.99 6.18 6.18 6.31 5.41 5.55 5.99 .443 5.88 6.14 5.43 6.17 5.43 5.80 6.14 .470 - 6.01 4.82 6.16 5.32 5.94 - .485 5.92 6.14 5.10 6.21 5.59 5.92 5.86 .499 5.93 5.93 4.99 6.21 5.45 5.99 5.82 .513 5.82 5.64 5.22 6.26 5.67 6.12 5.67 .526 5.86 5.22 5.16 6.04 5.62 5.98 5.80 .540 5.99 5.22 5.37 6.47 5.77 6.35 5.71 34 120.471 5.95 4.96 6.11 6.17 6.11 5.67 5.56 .484 5.81 4.95 6.12 6.14 6.07 5.75 5.60 .497 5.96 5.03 6.03 6.33 6.14 5.78 5.73 .510 6.04 5.06 6.20 6.26 6.06 5.76 5.70 .523 5.94 5.28 6.26 6.23 6.09 5.82 5.77 .536 5.95 5.19 6.28 6.18 6.09 5.97 5.57 34 120.551 5.68 5.25 5.94 6.24 6.15 6.00 5.66 .564 5.63 5.34 5.40 6.33 6.13 6.05 5.75 .579 5.04 5.28 4.88 6.24 6.16 6.12 5.92 34 121.401 5.84 5.78 6.12 6.30 5.44 5.02 6.31 .412 5.91 5.95 - - 5.61 4.91 6.10 .422 5.95 5.95 6.04 6.30 5.66 5.02 6.20 .431 6.00 5.92 6.10 6.16 5.59 5.09 6.12 .441 5.92 6.02 6.16 6.26 5.76 5.18 6.14 .484 6.02 5.95 6.06 6.11 5.75 5.46 6.02 .495 5.98 5.96 6.11 6.15 5.92 5.58 6.05 .505 5.88 5.97 6.07 5.96 5.96 5.66 6.12 .517 6.00 6.14 6.12 6.19 5.94 5.63 6.14 .528 5.73 5.94 6.12 6.04 5.92 5.74 6.07 .539 5.22 6.11 6.05 6.14 5.90 5.70 6.33 .552 4.83 5.97 6.06 6.26 6.02 5.79 6.20 .562 4.63 - - 6.08 6.08 5.73 6.12 .594 4.86 6.06 6.14 6.10 6.06 5.94 6.16 .605 5.11 - - - 6.00 5.83 - 34 122.404 - 5.00 5.92 5.94 6.06 - 5.74 .416 5.74 5.08 6.29 5.94 5.96 5.43 5 65 .431 6.04 5.22 6.17 6.15 5.88 5.04 5.68 34 126.433 5.07 5.68 5.94 5.86 6.00 6.16 6.06 34 131.415 5.80 5.56 5.96 4.94 6.17 6.26 6.34 34 487.347 5.58 5.58 6.14 6.20 5.97 5.97 6.22 .367 5.69 5.36 5.94 5.82 6.12 6.38 6.12 .385 5.99 4.96 5.26 5.32 6.06 6.30 6.12 .397 5.82 4.90 4.92 4.98 - - 6.01 .410 6.10 5.04 4.90 5.01 6.10 6.20 6.27 .428 - 4.90 4.95 5.01 6.12 6.20 6.02 .438 5.93 5.12 5.06 5.12 5.93 6.20 6.00 .449 5.93 5.24 5.19 5.32 6.28 6.15 6.36 .460 6.02 5.23 5.33 5.37 6.32 6.14 6.25 .474 5.90 5.31 5.29 5.45 - 5.93 6.24 .483 5.87 5.25 5.44 5.56 - 5.72 6.03 .494 - 5.40 5.48 5.61 - 5.48 - .508 6.04 5.55 5.47 5.78 - 5.34 - .518 6.04 5.59 5.61 5.82 - 5.37 - 34 488.530 5.91 6.09 5.30 5.71 5.93 5.56 6.11 .540 5.90 6.12 5.48 5.66 5.97 5.46 6.13 34 567.388 5.32 - 6.41 6.00 5.80 6.08 5.91 35 223.415 5.26 5.99 - 6.05 6.16 5.31 5.90 .428 5.25 5.92 6.13 5.56 6.05 5.32 6.03 .441 5.37 6.05 6.21 5.32 6.00 5.43 6.00 .467 5.32 5.97 6.17 4.95 5.64 5.55 5.99 .490 5.64 6.04 6.19 5.22 5.57 5.72 6.10 .503 5.62 6.07 6.20 5.33 5.33 5.77 6.11 35 223.517 5.77 6.06 6.20 5.45 5.34 5.89 6.08 .530 5.97 6.07 6.24 5.49 5.47 5.93 6.26 .546 5.79 6.04 6.11 5.69 5.45 5.98 6.11 .573 5.67 5.95 6.14 5.75 5.45 5.89 6.05 35 224.454 5.49 5.12 6.00 5.54 6.10 5.29 5.90 .472 5.54 5.16 6.23 4.92 6.30 5.35 5.66 .485 5.59 5.19 6.14 4.95 6.10 5.44 5.70 .499 5.62 5.27 6.15 5.02 6.08 5.62 5.73 .512 5.60 5.32 6.32 5.18 6.12 5.64 5.58 .524 5.52 5.26 6.14 5.21 6.13 5.52 5.50 .542 5.77 5.39 6.01 5.39 6.20 5.70 5.65 .556 5.70 5.56 6.12 5.53 6.16 5.79 5.49 .569 5.85 5.67 6.12 5.56 6.24 6.12 5.85 .583 5.94 5.84 6.20 5.64 6.06 6.10 5.64 35 227.534 6.45 5.75 5.64 5.15 5.35 5.29 5.94 .547 6.24 5.38 5.85 4.99 5.40 - 6.14 .560 6.27 5.18 5.86 5.02 5.36 5.45 6.14 .573 5.76 4.82 - 5.16 5.56 5.67 5.98 .586 6.08 4.89 6.03 5.10 5.68 5.55 6.00 35 598.507 5.76 5.62 5.20 5.78 6.16 6.09 - .524 5.88 3.77 5.34 5.81 5.98 6.26 6.19 .537 5.89 5.90 5.40 5.96 5.58 6.38 6.32 35 600.363 6.03 5.64 6.21 6.13 5.52 5.04 6.38 .378 5.72 5.52 6.45 6.17 5.55 5.11 6.07 .391 5.93 5.58 6.16 6.28 5.78 5.34 6.28 .405 5.80 5.55 6.28 5.66 5.84 5.32 - .421 5.95 5.66 5.93 5.09 5.66 5.52 6.27 .434 5.71 5.77 6.23 4.92 5.69 5.58 6.19 .446 5.87 5.68 6.05 4.98 5.83 5.66 6.07 .501 5.74 6.05 6.07 5.36 6.09 6.10 5.90 .525 6.03 6.14 6.16 5.54 5.97 6.07 5.75 35 603.369 5.80 5.18 5.86 6.35 5.96 6.38 6.15 .381 5.80 5.17 5.86 6.20 5.80 6.70 6.31 .397 5.80 4.92 5.86 6.28 5.91 6.33 6.22 .408 5.73 4.98 5.86 6.15 5.95 5.67 6.02 .419 5.82 5.11 5.90 6.40 6.01 5.43 6.26 .431 5.90 5.05 6.00 6.24 6.02 4.95 6.04 .446 5.72 5.08 6.06 6.27 6.02 4.87 6.18 .457 5.78 5.20 6.02 6.37 6.22 4.94 6.24 .468 5.46 5.22 6.09 5.92 5.98 5.06 6.04 .491 5.08 5.35 5.91 5.08 5.82 5.17 6.10 .507 4.94 5.34 6.30 4.94 6.04 5.39 6.14 35 920.444 4.96 5.87 6.05 6.23 6.22 5.99 5.65 .467 5.36 5.97 5.97 6.11 6.22 6.05 5.67 .487 5.67 - 5.77 5.92 6.04 5.51 5.72 .504 5.42 5.97 6.08 6.12 6.02 5.38 5.86 35 920.547 5.56 5.87 6.13 6.26 6.26 5.20 5.97 .562 5.38 5.83 6.19 6.42 6.19 5.25 5.92 .585 5.55 6.00 6.02 6.16 6.05 5.43 5.95 35 933.415 4.69 5.04 6.21 4.82 5.69 5.08 6.04 .443 4.88 5.08 5.59 4.93 5.86 4.90 6:24 .479 5.00 5.00 4.97 5.36 5.95 5.33 5.98 .503 5.11 5.11 4.89 5.44 5.67 4.89 5.90 .515 5.50 - 5.39 5.68 5.99 5.47 6.13 .530 5.46 5.24 5.24 5.72 5.69 5.63 6.08 .543 5.19 5.36 5.39 5.94 5.96 5.94 6.07 .573 5.53 5.48 5.41 5.95 5.95 5.93 - .588 5.30 5.67 5.44 5.87 6.05 - 5.96 .602 - - 5.46 - - - 5.41 36 991.457 6.05 6.31 6.07 6.05 6.16 6.16 5.72 .470 6.16 - 6.09 6.16 6.43 6.84 5.66 .485 6.08 6.08 5.53 6.03 6.32 5.96 5.88 37 018.470 5.72 5.85 6.13 5.78 5.93 5.21 6.24 .483 5.86 5.78 6.27 6.05 5.92 5.15 6.06 .496 5.82 5.66 6.27 - 6.09 5.34 6.14 .510 5.68 5.92 5.86 6.08 6.05 5.58 6.24 .523 5.70 5.99 5.15 6.00 6.12 5.58 6.18 .537 5.70 5.90 4.90 5.96 6.02 5.73 6.18 .550 5.77 5.92 4.96 5.91 5.71 5.64 6.19 .563 5.50 - 5.03 6.42 6.16 5.78 6.12 .577 5.95 5.81 5.24 6.08 6.24 5.67 6.12 .609 5.86 6.00 5.31 6.32 6.17 6.00 5.86 .623 6.22 6.04 5.40 - 6.12 5.94 6.06 .637 6.00 6.14 5.48 6.06 6.29 6.35 5.90 37 057.539 5.57 6.15 6.15 6.36 5.57 6.27 6.11 .552 5.53 6.22 6.31 6.33 5.71 6.27 6.10 .578 5.78 6.45 6.25 6.19 6.12 6.25 6.12 37 058.529 5.78 5.69 6.01 6.26 6.05 6.33 5.65 .580 6.06 - 6.40 6.20 5.14 6.45 5.83 37 757.598 - 5.98 5.63 5.74 5.63 5.86 5.92 37 791.365 5.49 5.96 6.14 5.89 5.73 6.25 6.25 .380 5.72 5.91 5.61 5.93 5.56 6.33 6.13 .394 5.71 5.93 5.08 5.98 5.42 6.21 6.04 .424 5.86 5.94 4.88 6.15 5.37 6.20 6.03 .439 5.84 6.05 5.11 6.16 5.42 6.38 6.20 .454 5.64 6.19 5.20 6.19 5.47 6.29 6.06 .469 5.73 5.96 5.32 6.30 5.64 6.34 6.20 .483 5.65 5.60 5.28 6.35 5.65 6.11 6.02 .497 5.60 5.33 5.52 6.27 5.69 5.75 6.10 .519 5.77 5.13 5.60 6.21 5.70 5.00 6.16 .533 5.74 5.03 5.64 6.20 5.77 4.92 6.15 .549 5.72 4.99 5.66 8.26 5.81 5.07 5.86 .563 5.76 5.12 5.80 6.26 5.86 5.12 5.73 Table 9 (continued) J.D. 20 21 22 23 24 25 26 2 400 000 + 28 963.487 5.84 6.22 6.13 5.78 5.75 5.98 5.71 28 991.403 5.57 6.12 6.12 5.57 5.83 5.83 5.72 .416 5.91 6.15 6.19 5.64 5.75 5.75 5.81 .430 5.75 6.14 6.04 5.60 5.78 5.60 5.63 .522 6.10 5.76 5.04 5.54 5.84 4.47 5.64 .542 6.04 5.14 4.83 5.47 5.80 4.58 5.61 29 346.376 5.97 4.81 4.84 5.42 5.86 5.42 5.33 .392 6.40 5.18 5.21 5.26 5.91 5.66 5.61 29 719.549 6.21 6.33 5.70 5.70 5.38 6.09 5.90 .560 6.21 6.18 5.85 5.72 5.58 5.93 5.89 29 720.546 6.22 6.32 5.92 5.54 5.92 5.94 5.30 .558 6.19 6.29 5.85 5.62 5.86 5.88 5.34 29 774.405 5.22 5.96 5.41 5.80 5.74 6.03 5.38 .417 5.42 5.80 5.54 5.70 5.41 5.91 5.51 29 775.403 5.23 6.59 5.72 5.63 5.84 5.05 4.78 .415 5.25 6.41 5.59 5.76 5.83 4.71 4.84 .426 5.51 6.10 5.81 5.65 5.72 4.68 4.94 .437 5.61 5.73 5.95 5.71 5.90 4.60 5.00 .447 5.64 5.60 5.97 5.83 5.97 4.89 4.95 30 052.462 5.01 5.28 6.00 5.77 5.28 5.01 5.87 .474 5.06 5.46 6.00 5.79 5.31 5.20 5.80 .489 5.29 5.48 6.18 5.71 5.43 5.17 5.82 .501 5.45 5.66 6.10 5.45 5.42 5.32 6.01 30 078.418 5.38 6.20 6.20 5.79 5.59 5.32 5.41 .434 5.09 6.04 6.11 5.65 5.49 5.39 5.01 .470 5.27 6.24 6.07 5.64 5.59 5.54 5.00 .483 5.29 6.14 6.12 5.88 5.62 5.62 4.95 .498 5.30 6.18 6.06 5.70 5.69 5.66 5.07 .509 5.51 6.53 5.95 5.60 5.69 5.69 5.11 .521 5.70 6.21 6.01 5.79 5.79 5.91 5.16 .536 5.79 6.20 5.66 5.58 5.70 5.79 5.20 .548 5.80 6.27 5.60 5.69 5.80 5.89 5.16 33 390.497 5.02 - 6.16 5.62 5.40 - 5.94 .534 5.25 5.92 6.12 5.85 5.60 6.12 5.16 .545 5.39 6.22 6.15 5.69 5.54 6.12 4.99 .558 5.43 6.20 6.11 5.66 5.48 6.07 4.85 .570 5.47 6.17 6.17 5.69 5.71 6.05 4.98 .586 5.74 6.24 6.26 5.81 5.55 5.97 5.18 33 420.424 4.97 6.23 6.72 5.66 5.66 6.16 5.06 .438 5.21 6.26 6.32 5.81 5.81 5.75 4.97 .450 5.29 6.16 6.19 5.83 5.68 5.19 4.91 .476 5.24 6.18 6.18 5.74 5.80 4.75 5.04 .487 5.48 6.35 6.09 5.74 5.74 4.90 5.31 .498 5.30 6.52 6.30 5.75 5.81 4.81 5.30 .510 5.45 6.35 6.22 5.90 5.85 5.05 5.26 .523 5.78 - 5.78 5.76 6.00 5.14 5.25 33 421.385 5.24 5.89 6.00 5.50 5.89 5.96 5.92 .442 5.35 6.02 6.26 5.68 6.00 4.78 5.95 .454 5.30 6.21 5.99 5.68 6.00 4.86 5.90 .465 5.27 6.13 5.92 5.66 6.05 4.94 5.92 .475 5.34 6.20 6.01 5.72 6.12 5.05 5.94 .486 5.57 6.41 5.99 5.80 5.89 5.01 5.89 .497 5.47 6.30 5.67 5.67 5.75 5.28 6.00 .535 5.70 6.51 5.05 5.79 5.32 5.52 6.10 .548 5.88 6.40 4.90 6.00 5.18 5.60 6.24 33 422.398 5.24 5.89 6.46 5.03 5.71 4.79 5.69 .431 5.20 5.95 6.11 5.25 5.65 5.10 5.80 .442 5.54 6.05 6.08 5.29 5.70 5.25 5.60 .452 5.43 5.95 5.95 5.26 5.73 5.20 5.95 .462 5.37 5.87 5.60 5.31 5.78 5.22 5.78 .472 5.45 5.93 5.12 5.28 5.77 5.39 5.80 .483 5.54 6.30 5.29 5.22 5.78 5.26 5.92 .493 5.72 6.26 5.14 5.54 5.73 5.38 5.85 .508 5.69 6.41 4.95 5.41 5.92 5.46 5.83 .520 5.76 5.91 5.00 5.43 5.78 5.64 5.91 33 763.406 5.65 6.29 5.45 5.65 5.65 5.78 5.80 .420 5.69 6.10 5.57 5.77 5.80 5.77 5.97 .442 5.73 - 5.73 5.75 5.75 5.88 5.99 .455 5.92 6.35 5.94 5.71 5.81 5.98 6.03 .464 5.89 6.23 5.84 5.52 5.80 6.01 5.99 .483 6.06 6.25 5.94 5.51 5.87 6.06 5.87 .494 5.91 6.22 5.88 5.40 5.83 5.96 5.66 .504 5.99 6.23 6.02 5.40 5.87 5.99 5.40 .514 6.04 6.38 6.10 5.42 5.85 6.02 5.26 .525 5.98 6.17 6.02 5.24 5.91 6.05 5.22 34 118.355 6.12 6.22 5.97 5.34 5.88 5.97 5.78 .372 5.98 6.25 5.90 5.20 5.77 5.94 - .388 6.18 6.20 6.20 4.90 5.91 6.03 5.95 .428 6.02 6.22 6.20 4.98 5.79 5.79 5.95 .443 6.14 6.40 6.14 5.24 5.95 5.53 5.92 .470 5.50 6.34 6.34 5.36 5.94 4.64 - .485 5.44 5.59 6.04 5.21 5.89 4.68 6.02 .499 4.95 5.20 6.28 5.45 5.93 4.82 5.87 .513 4.80 4.98 6.18 5.47 5.84 5.00 5.99 .526 4.92 4.92 - 5.68 5.57 4.92 - .540 4.88 5.08 6.22 5.48 6.06 5.15 5.95 34 120.471 4.87 5.89 6.17 5.67 5.79 5.18 5.09 .484 4.89 6.24 6.12 5.87 5.96 5.45 5.27 .497 4.90 6.33 6.07 5.84 5.73 5.41 5.45 .510 5.06 6.38 5.98 5.86 5.82 5.55 5.38 .523 5.19 6.36 5.61 5.86 5.80 5.52 5.36 .536 5.19 6.08 5.39 5.80 5.72 5.75 5.57 34 120.551 5.20 5.59 5.25 5.77 5.94 5.66 5.50 .564 5.50 5.15 5.18 5.86 6.02 5.78 5.52 .579 5.55 4.90 5.00 5.83 6.00 5.83 5.83 34 121.401 5.87 6.30 - 5.14 5.04 5.07 - .412 5.79 - 6.40 5.18 5.09 5.09 6.09 .422 5.53 6.56 6.28 5.18 5.14 5.27 5.92 .431 5.32 6.16 6.15 5.24 5.03 5.24 5.96 .441 5.10 6.14 6.16 5.38 5.18 5.46 5.85 .484 4.95 6.26 5.80 5.46 5.34 5.65 5.86 .495 5.10 6.52 5.67 5.51 5.26 5.64 5.98 .505 5.28 6.21 5.48 5.59 5.44 5.67 5.96 .517 5.32 6.18 5.24 5.54 5.45 5.86 - .528 5.30 6.22 5.14 5.54 5.42 5.74 5.92 .539 5.59 6.25 5.06 5.48 5.59 5.75 5.92 .552 5.44 6.39 5.08 5.59 5.44 5.87 5.70 .562 5.63 - 5.12 5.50 5.46 5.78 - .594 5.80 5.22 5.12 5.69 5.49 5.80 - .605 5.71 5.02 5.22 5.66 - - 4.83 34 122.404 5.76 6.12 5.95 5.72 5.84 5.48 - .416 5.20 6.46 6.42 5.76 5.70 5.31 - .431 4.87 6.17 6.08 5.76 5.76 5.50 5.71 34 126.433 5.45 5.85 5.47 5.78 5.84 6.00 5.08 34 131.415 5.98 5.06 6.22 5.85 5.30 4.86 - 34 487.347 6.14 5.41 5.84 5.74 5.88 5.92 5.99 .367 6.18 5.62 5.57 5.78 5.64 5.94 5.67 .385 6.03 5.74 5.26 5.79 5.91 5.99 5.30 .397 5.72 5.68 5.02 5.66 5.66 6.07 5.02 .410 6.03 5.90 5.13 5.80 6.01 6.09 4.98 .428 5.18 5.86 5.12 5.78 6.00 5.86 4.88 .438 4.79 5.93 5.30 5.64 5.93 5.95 5.02 .449 4.89 6.09 5.32 5.60 6.20 6.05 5.10 .460 4.86 6.19 5.37 5.37 6.02 6.10 5.10 .474 4.97 6.06 5.41 5.42 5.90 5.90 5.19 .483 5.02 6.01 5.61 5.24 5.83 6.09 5.23 .494 5.19 - 5.64 5.21 5.78 5.92 5.38 .508 5.33 6.37 5.78 5.14 5.50 5.87 5.26 .518 5.50 6.13 5.85 5.22 5.43 6.04 5.41 34 488.530 5.68 6.14 6.04 5.75 5.89 6.08 6.01 .540 5.78 6.18 5.92 5.77 5.76 5.82 5.78 34 567.388 5.98 5.93 5.45 5.39 5.74 5.20 5.89 35 223.415 5.77 6.12 6.16 5.09 5.67 5.93 5.56 .428 5.92 6.20 6.14 5.09 5.62 5.92 5.64 .441 5.81 6.10 6.20 5.17 5.59 5.94 5.59 .467 6.02 6.14 5.69 5.22 5.71 5.86 5.60 .490 6.06 6.35 5.27 5.29 5.80 6.04 5.79 .503 6.18 6.13 5.07 5.40 5.69 6.02 5.79 35 223.517 5.89 6.14 4.93 - 5.79 5.85 5.94 .530 6.19 6.28 5.01 5.38 5.75 5.24 5.81 .546 6.13 6.26 5.08 5.51 5.83 4.73 5.77 .573 6.17 6.36 5.20 5.50 5.83 4.77 5.87 35 224.454 5.93 5.86 5.24 5.60 5.98 6.12 4.93 .472 6.01 6.09 4.86 5.70 5.83 5.88 5.00 .485 6.06 6.04 4.81 5.85 5.59 5.44 5.14 .499 6.06 6.18 4.90 5.84 5.50 5.02 5.22 .512 6.03 6.14 5.05 5.72 5.40 4.71 5.30 .524 5.98 5.90 5.09 5.76 5.21 4.70 5.23 .542 6.33 6.16 5.24 5.56 5.14 4.85 5.37 .556 6.34 6.43 5.46 5.30 5.04 4.98 5.43 .569 6.39 6.39 5.56 5.23 5.10 5.15 5.51 .583 6.36 6.22 5.59 5.06 5.17 5.32 - 35 227.534 6.45 5.88 6.26 5.18 6.21 6.04 5.62 .547 6.28 6.44 5.90 5.12 6.12 5.70 5.51 .560 6.60 5.87 6.42 5.05 6.06 6.06 5.67 .573 6.04 6.28 5.94 4.97 5:78 5.78 5.51 .586 6.03 5.90 5.88 4.85 6.21 5.84 5.76 35 598.507 6.26 6.45 5.14 5.14 6.06 4.94 6.06 .524 6.26 6.27 5.07 5.27 5.99 5.15 6.16 .537 6.10 6.00 5.04 5.14 6.20 5.32 6.20 35 600.363 6.34 5.71 6.31 5.24 6.01 5.88 5.72 .378 6.20 5.64 5.75 5.04 5.84 5.02 5.38 .391 6.28 5.87 5.93 5.36 5.78 4.73 5.10 .405 6.62 5.88 5.68 5.42 5.92 4.73 4.78 .421 6.08 5.90 5.46 5.46 5.93 4.86 4.93 .434 5.88 5.66 5.10 5.32 5.73 5.05 5.10 .446 6.07 5.87 4.95 5.57 5.87 5.17 5.04 .501 6.07 6.10 5.23 5.47 5.88 5.41 5.26 .525 5.75 6.47 5.52 5.75 5.90 5.41 5.52 35 603.389 6.38 5.15 5.01 5.42 5.16 5.20 5.20 .381 6.50 5.33 5.00 5.66 5.25 5.55 5.14 .397 6.46 5.34 5.24 5.57 5.32 5.47 4.89 .408 6.15 5.39 5.27 5.41 5.30 5.50 4.92 .419 6.21 5.67 5.56 5.54 5.38 5.54 5.11 .431 6.06 5.65 5.52 5.58 5.49 5.82 5.05 .446 6.06 5.72 5.53 5.47 5.32 5.84 5.08 .457 5.91 5.78 5.59 5.57 5.47 5.94 5.15 .468 5.60 5.67 5.79 5.57 5.46 5.92 5.20 .491 5.37 5.71 5.87 5.58 5.42 5.87 5.37 .507 5.18 5.94 5.94 5.77 5.51 5.77 5.48 35 920.444 4.91 6.17 6.11 5.80 4.86 5.79 5.39 .467 5.24 6.22 6.00 5.76 5.15 5.87 5.67 .487 5.46 5.62 - 5.62 5.34 5.70 5.85 .504 5.66 5.26 5.91 5.42 5.08 5.66 5.73 35 920.547 5.80 4.96 5.40 5.37 5.29 5.77 5.53 .562 5.98 5.13 5.00 5.20 5.13 5.38 5.62 .585 5.95 5.12 4.64 5.12 5.21 4.47 5.66 35 933.415 5.93 4.79 5.84 5.66 5.82 5.84 5.22 .443 6.18 4.93 5.99 5.71 5.83 6.01 5.14 .479 6.10 5.43 5.95 5.67 5.74 5.84 5.47 .503 5.86 5.30 5.83 5.56 6.00 5.88 5.27 .515 6.16 5.80 5.89 5.68 5.99 5.85 5.41 .530 6.29 5.66 5.74 5.86 6.08 5.30 5.49 .543 - 5.81 5.40 5.90 - 4.52 5.36 .573 5.88 5.95 4.97 5.85 5.98 4.64 5.62 .588 5.61 6.01 5.03 5.62 5.72 4.88 - .602 5.68 6.17 4.88 5.96 5.66 4.80 - 36 991.457 5.84 6.30 5.63 5.72 6.13 6.13 - .470 6.09 6.61 6.32 5.91 6.16 6.43 5.61 .485 5.96 6.16 - 5.83 5.93 6.17 5.60 37 018.470 5.70 6.20 6.13 5.04 5.82 5.01 5.61 .483 5.82 6.30 6.21 5.04 5.81 4.66 5.86 .496 6.02 6.49 - 5.11 5.75 4.74 5.78 .510 5.97 5.84 6.22 5.14 5.76 5.02 5.86 .523 6.01 5.38 6.04 5.29 5.70 5.04 5.80 .537 5.75 5.03 6.03 5.16 5.57 5.32 5.62 .550 6.13 5.08 6.11 5.36 5.92 5.20 5.68 .563 5.90 5.06 - 5.52 6.08 5.31 5.74 .577 6.10 5.20 6.16 5.47 6.02 5.62 5.95 .609 6.20 5.48 5.92 5.48 5.98 5.60 5.88 .623 6.27 5.61 6.06 5.72 5.84 5.94 5.99 .637 6.03 5.82 5.77 5.58 6.00 6.00 5.96 37 057.539 6.21 6.41 6.33 5.95 5.47 6.05 5.97 .552 6.16 6.39 6.06 5.65 5.57 5.75 6.01 .578 5.98 6.40 6.25 5.84 5.34 6.29 6.09 37 058.529 6.05 6.29 6.19 5.55 6.01 5.93 5.78 .580 6.15 6.29 6.36 5.73 6.36 6.40 6.15 37 757.598 - 5.00 6.11 5.88 5.88 5.70 - 37 791.365 6.25 6.21 4.86 5.25 5.60 4.49 5.69 .380 6.26 6.16 5.11 5.46 5.81 4.45 5.67 .394 6.25 6.11 5.27 5.41 5.85 4.77 5.68 .424 6.27 6.23 5.38 5.48 5.60 4.71 5.80 .439 6.58 6.24 5.54 5.60 5.91 5.07 5.87 .454 6.22 6.29 5.47 5.60 5.60 4.95 6.06 .469 6.24 6.34 5.63 5.66 5.93 5.19 6.02 .483 6.02 6.30 5.60 5.65 5.69 5.34 5.74 .497 6.22 6.28 5.60 5.55 5.75 5.40 5.81 .519 6.27 6.21 5.98 5.85 5.90 5.64 5.90 .533 6.28 6.23 5.82 5.71 5.90 5.68 5.90 .549 5.62 6.20 5.98 5.66 5.92 5.77 5.86 .563 5.02 6.34 6.03 5.86 6.18 5.82 6.09 28 963.487 5.90 5.75 4.30 5.80 5.60 5.10 6.07 28 991.403 5.96 4.88 4.60 5.44 5.67 5.54 6.18 .416 5.96 4.90 4.40 5.28 5.64 5.34 6.06 .430 6.06 4.80 4.53 5.29 5.71 5.22 6.17 .522 5.97 4.81 - - 5.45 5.26 6.03 .542 6.12 5.06 - 4.15 5.53 5.45 6.05 29 346.376 5.97 5.45 5.09 4.96 5.52 5.69 5.97 .392 6.09 5.66 5.15 - 5.85 5.57 6.14 29 719.549 5.11 5.24 4.91 5.67 5.55 5.88 6.21 .560 5.01 5.30 4.75 5.72 5.30 5.79 6.04 29 720.546 6.04 5.39 5.21 5.51 5.85 5.21 6.07 .558 5.88 5.26 5.26 5.36 5.79 5.41 5.97 29 774.405 6.13 5.55 5.33 5.61 5.58 6.28 5.38 .417 6.06 5.60 5.45 5.85 5.60 6.22 5.76 29 775.403 5.98 5.63 4.87 5.48 5.43 5.63 5.11 .415 5.94 5.47 4.90 5.49 5.49 5.76 5.20 .426 5.94 5.28 5.13 5.65 4.51 5.81 5.19 .437 6.10 5.17 5.14 5.71 5.61 5.82 5.39 .447 5.97 4.98 5.07 - 5.64 5.83 5.36 30 052.462 6.52 5.83 5.23 5.53 5.92 6.13 5.79 .474 6.00 5.85 5.26 5.88 5.83 6.14 5.92 .489 5.60 5.87 5.14 5.65 5.99 6.35 5.71 .501 5.48 5.71 5.16 5.59 5.87 6.06 5.97 30 078.418 6.01 5.88 5.41 5.17 5.32 5.79 5.72 .434 5.94 5.79 5.05 5.30 5.39 5.81 5.71 .470 5.97 5.52 4.38 5.49 5.59 5.91 5.64 .483 6.08 5.25 4.44 5.39 5.50 5.94 5.76 .498 5.98 5.03 4.54 5.36 5.64 6.11 5.78 .509 6.20 4.95 4.73 5.66 5.74 5.95 5.77 .521 6.09 5.02 4.78 5.68 5.85 6.05 5.91 .536 5.73 4.98 4.79 5.50 5.98 6.08 5.89 .548 5.49 4.90 4.97 5.69 5.75 6.16 5.84 33 390.497 5.84 5.92 5.33 5.49 5.38 5.98 6.07 .534 5.65 5.40 5.37 5.79 5.59 6.00 5.74 .545 5.80 5.25 5.29 5.61 5.64 6.02 5.69 .558 5.79 4.99 5.35 5.52 5.55 6.07 5.59 .570 5.87 5.07 5.36 5.76 5.69 6.03 5.69 .586 5.97 5.15 5.44 5.88 5.81 6.15 5.48 33 420.424 6.03 5.52 6.15 5.00 5.40 5.63 5.34 .438 5.95 5.93 5.73 4.75 5.49 5.61 5.61 .450 5.58 5.80 5.62 4.59 5.60 5.58 5.50 .476 5.26 5.96 5.26 4.63 5.59 5.37 5.48 .487 5.19 5.93 5.07 4.80 5.48 5.48 5.74 .498 5.07 5.77 4.69 4.79 5.55 5.43 5.66 .510 5.16 5.90 4.64 4.94 5.81 5.57 5.85 .523 5.25 5.76 4.46 4.81 5.74 5.40 5.86 33 421.385 5.92 5.50 5.62 5.62 4.82 5.92 5.36 .442 6.19 5.73 5.64 4.60 5.16 6.00 5.21 .454 6.00 5.77 5.49 4.53 5.17 5.88 5.37 .465 6.07 5.76 5.38 4.60 5.10 6.03 5.34 .475 6.08 5.84 5.37 4.62 5.20 6.01 5.29 .486 6.00 5.99 5.05 4.66 5.36 6.02 5.45 .497 6.04 5.96 5.35 4.81 5.35 5.77 5.53 .535 6.12 6.12 5.66 5.27 5.74 5.65 5.63 .548 6.03 5.88 5.53 5.18 5.70 5.44 5.82 33 422.398 5.79 5.79 5.36 5.46 5.92 6.18 6.09 .431 6.01 6.08 5.36 4.77 4.90 6.03 5.93 .442 5.99 5.93 5.51 4.67 4.85 6.01 5.45 .452 5.95 5.92 5.40 4.51 4.86 6.23 5.26 .462 6.09 6.09 5.34 4.76 4.92 6.02 5.10 .472 5.91 6.15 5.42 4.88 5.12 6.02 5.15 .483 6.27 5.90 5.49 4.85 5.02 6.27 5.02 .493 5.92 5.76 5.51 4.99 5.21 6.20 5.14 .508 5.85 5.80 5.30 4.95 5.19 6.08 5.16 .520 6.12 5.86 5.50 5.06 5.19 5.86 5.33 33 763.406 5.48 5.12 5.63 5.23 5.48 5.82 5.92 .420 5.53 5.23 5.45 - 5.57 5.85 6.04 .442 5.70 5.33 5.72 5.52 5.60 5.90 5.95 .455 5.77 5.39 5.71 5.71 5.75 5.98 6.07 .464 5.80 5.55 5.71 5.87 5.71 6.05 6.18 .483 5.78 5.55 5.58 5.62 5.71 6.05 6.19 .494 5.81 5.55 5.62 5.59 5.68 5.94 6.24 .504 5.87 5.76 5.50 5.59 5.83 6.08 6.00 .514 5.88 5.68 5.57 5.95 5.85 6.12 6.16 .525 5.96 5.72 5.51 - 5.84 6.02 6.07 34 118.355 5.37 - - - - 5.72 5.76 .372 5.68 - - - - 5.66 5.66 .388 5.36 5.93 - - 4.92 5.59 5.56 .428 5.69 6.02 5.08 4.66 5.15 5.85 5.55 .443 5.88 5.80 5.43 4.85 5.49 5.97 5.49 .470 5.90 - 5.76 5.03 - - 5.32 .485 5.81 5.69 5.32 5.13 5.59 5.92 5.59 .499 5.87 5.82 5.06 5.33 5.49 6.16 5.55 .513 5.84 5.67 4.76 5.11 5.43 6.23 5.60 .526 - 5.62 4.41 5.34 5.60 - 5.65 .540 6.09 5.80 4.34 5.55 5.66 6.09 5.68 34 120.471 5.95 5.18 5.14 5.34 4.96 5.06 - .484 6.10 4.89 - - 5.12 5.21 5.81 .497 6.14 4.83 5.26 5.22 5.07 5.23 5.80 .510 6.14 4.91 5.29 5.42 5.35 5.35 5.59 .523 6.09 4.85 5.33 5.36 5.36 5.36 5.49 .536 6.00 4.94 5.19 5.24 5.39 5.33 5.54 34 120.551 5.87 4.89 5.46 5.46 5.43 5.50 5.47 .564 5.61 4.97 5.18 - 5.55 5.69 5.61 .579 5.22 5.04 - - 5.66 5.55 5.55 34 121.401 5.93 5.60 5.20 4.81 5.84 6.02 5.95 .412 5.95 5.50 5.00 5.09 5.84 6.28 5.98 .422 5.95 5.32 4.78 5.08 5.86 6.12 6.04 .431 5.92 5.16 4.64 5.03 5.86 6.22 5.86 .441 5.88 4.83 4.53 5.14 5.65 6.43 5.97 .484 6.02 4.95 4.61 5.59 4.79 6.16 5.89 .495 5.96 4.98 4.60 5.40 4.77 6.00 6.05 .505 5.97 5.18 4.77 5.35 4.93 5.97 5.97 .517 6.06 5.21 4.77 5.65 5.05 5.86 6.04 .528 5.95 5.18 4.77 5.57 5.04 5.69 5.89 .539 6.02 5.35 - - 5.16 5.70 5.89 .552 6.03 5.34 - - 5.06 5.19 5.70 .562 - 5.37 - - 5.19 5.09 5.67 .594 - 5.33 - - 5.19 5.06 5.49 .605 - - - - - 5.14 5.46 34 122.404 5.40 - - - 5.77 - 5.88 .416 5.33 4.92 5.36 5.00 5.74 5.94 6.15 .431 5.52 5.00 5.35 5.16 5.93 6.08 5.88 34 126.433 5.28 5.88 5.47 5.22 5.80 6.08 5.58 34 131.415 5.98 5.49 4.86 5.41 5.68 6.08 5.98 34 487.347 5.78 5.76 4.77 5.94 5.90 5.90 5.36 .367 5.92 5.80 4.94 5.57 5.91 6.08 5.36 .385 6.06 5.44 5.02 5.89 5.91 5.91 5.50 .397 5.94 5.86 5.04 5.59 5.66 6.02 5.40 .410 6.14 6.00 5.22 5.38 6.18 6.12 5.62 .428 5.86 - - 4.83 - 5.93 5.72 .438 5.93 5.82 5.12 4.80 5.82 6.19 5.64 .449 6.12 5.85 5.27 4.79 6.00 6.12 5.85 .460 6.16 5.97 5.27 4.72 5.87 5.91 5.83 .474 - 5.76 5.25 4.93 5.64 5.70 5.81 .483 5.98 6.01 5.22 4.90 5.59 5.86 5.87 .494 6.00 5.84 5.30 4.95 5.73 - 5.84 .508 6.06 - 5.30 4.97 5.45 6.18 6.06 .518 5.94 6.02 5.39 5.04 5.43 5.92 5.97 34 488.530 5.89 5.35 4.82 - 5.75 6.09 5.91 .540 5.80 5.11 4.88 5.44 5.71 5.92 5.82 34 567.388 5.96 5.89 5.54 5.70 5.20 5.85 5.43 35 223.415 5.82 5.65 5.43 5.51 5.23 5.95 5.90 .428 5.90 5.72 5.20 5.40 5.32 6.02 6.07 .441 6.00 5.81 5.63 5.50 5.28 6.07 5.94 .467 5.84 5.71 5.32 5.53 5.32 6.10 6.02 .490 6.02 5.94 5.43 5.49 5.57 6.04 5.96 .503 6.02 5.78 5.37 5.02 5.54 6.24 5.95 35 223.517 6.06 5.83 5.29 4.63 5.55 6.08 6.06 .530 6.07 5.75 5.38 4.52 5.53 6.32 5.93 .546 6.11 5.79 5.42 4.68 5.51 6.05 5.91 .573 5.87 5.83 5.55 4.88 5.65 5.50 6.05 35 224.454 5.60 5.88 5.19 5.56 5.26 6.02 5.81 .472 5.57 5.66 5.30 5.57 5.18 6.11 5.75 .485 5.64 5.74 5.34 5.31 5.19 6.32 5.88 .499 5.87 5.84 5.38 4.93 5.36 6.12 5.89 .512 5.72 5.82 5.45 4.45 5.24 6.10 5.96 .524 5.72 5.72 5.33 4.56 5.26 6.14 5.72 .542 5.77 5.74 5.37 5.02 5.41 6.24 5.92 .556 5.81 5.53 5.39 4.85 5.34 6.08 5.88 .569 5.90 5.48 5.46 4.98 5.56 6.45 5.94 .583 5.84 5.27 5.59 - 5.54 6.00 6.06 35 227.534 6.09 5.40 5.40 4.87 6.12 5.26 5.40 .547 6.08 5.40 5.90 4.82 5.92 5.26 5.35 .560 6.06 5.78 5.54 5.11 5.78 5.36 5.60 .573 6.09 5.63 5.51 5.08 5.23 5.28 5.65 .586 6.32 5.71 5.55 5.48 5.34 5.37 5.58 35 598.507 5.44 5.76 5.86 4.48 5.30 5.80 5.88 .524 5.75 5.81 5.61 4.58 5.61 6.02 5.96 .537 5.90 5.88 5.58 4.60 5.39 6.18 5.82 35 600.363 5.88 5.97 5.82 5.52 5.72 6.12 5.74 .378 5.68 5.72 5.47 5.40 5.66 5.84 5.57 .391 5.93 5.76 5.49 5.58 6.07 5.95 5.67 .405 6.08 5.66 5.36 5.50 5.90 6.00 5.80 .421 6.08 5.75 5.62 5.64 5.93 5.86 5.50 .434 5.88 5.58 5.73 5.58 5.86 6.25 5.62 .446 6.07 5.87 5.64 5.62 5.80 6.25 5.59 .501 6.29 5.88 5.10 4.55 5.16 5.93 5.74 .525 6.03 5.88 4.50 4.88 5.10 5.02 5.88 35 603.369 6.03 5.78 - - 5.72 5.01 6.08 .381 6.14 5.69 - - 5.90 5.20 6.08 .397 5.95 5.49 5.26 5.66 5.66 5.24 5.84 .408 5.95 5.32 4.92 - 5.80 5.22 6.04 .419 6.03 5.33 4.66 5.60 5.85 5.52 6.06 .431 6.22 5.28 4.60 5.38 5.90 5.46 6.00 .446 6.02 5.19 4.74 4.73 5.82 5.45 5.96 .457 6.04 5.12 4.55 4.61 5.87 5.59 6.06 .468 6.00 4.93 4.59 4.76 5.83 5.67 6.01 .491 6.08 5.00 4.75 4.74 5.91 5.64 5.81 .507 6.12 5.04 4.74 4.88 5.80 5.86 5.94 35 920.444 5.07 5.38 5.95 6.00 5.13 5.03 5.64 .467 5.28 5.53 5.70 5.53 5.20 5.36 5.70 .487 5.23 5.86 5.08 4.29 5.36 5.62 5.72 .504 5.26 5.53 - - 5.30 5.50 5.66 35 920.547 5.49 5.56 4.87 5.20 5.48 5.56 5.94 .562 5.51 5.38 4.94 5.20 5.38 5.62 5.92 .585 5.60 5.05 5.05 5.60 5.30 5.60 6.18 35 933.415 5.82 4.72 5.22 5.12 5.77 5.91 6.04 .443 5.88 5.03 5.45 5.27 5.82 5.67 6.11 .479 5.95 5.22 5.33 5.50 4.62 5.93 5.95 .503 5.67 5.17 - 5.24 4.56 5.93 5.88 .515 5.80 5.29 - 5.50 4.48 5.85 5.95 .530 5.78 5.32 5.35 5.60 4.57 6.08 6.06 .543 - - - - 4.57 5.96 5.63 .573 5.78 - 5.37 5.35 4.97 5.79 5.41 .588 - - - 5.59 5.00 5.65 5.42 .602 - - - - - 6.08 5.34 36 991.457 5.86 5.69 5.20 4.80 5.54 6.13 5.56 .470 6.19 6.09 5.36 5.09 5.96 6.11 5.53 .485 6.08 5.68 5.03 5.22 5.93 6.08 5.33 37 018.470 5.57 6.08 5.75 5.47 5.78 5.19 5.91 .483 5.82 5.84 5.46 5.69 5.92 5.28 5.98 .496 5.66 5.93 - - 5.78 5.21 6.10 .510 5.70 6.09 5.80 5.31 5.95 5.29 6.04 .523 5.95 5.99 5.64 5.57 6.06 5.44 6.00 .537 5.67 - 5.21 5.89 5.88 5.40 5.88 .550 5.74 5.90 5.53 5.27 5.57 5.57 5.80 .563 5.91 6.08 5.36 - 5.56 5.62 5.98 .577 5.84 5.76 5.51 5.47 4.93 5.81 5.79 .609 6.05 5.31 5.48 5.51 4.86 5.84 5.44 .623 5.97 - 5.32 - 5.07 5.89 5.46 .637 6.08 5.58 4.88 - 5.24 5.92 5.55 37 057.539 6.05 6.20 4.73 - 5.34 5.31 6.01 .552 6.39 - 4.14 - 5.31 5.22 6.10 .578 6.09 - 4.41 - 5.69 5.28 6.09 37 058.529 6.05 6.12 5.78 - 4.78 6.05 5.85 .580 - 5.79 5.79 - 5.26 6.48 6.02 37 757.598 - 5.23 - - 4.98 5.20 6.08 37 791.365 5.31 4.66 5.74 5.96 5.20 5.89 6.21 .380 5.18 4.34 5.91 - 5.46 5.93 5.93 .394 5.12 4.30 5.75 5.63 5.60 5.97 6.03 .424 5.25 4.31 5.59 4.95 5.54 6.02 5.86 .439 5.42 4.20 5.72 - 5.77 6.20 6.05 .454 5.15 4.54 5.53 5.11 5.57 5.99 6.32 .469 5.43 4.66 5.67 - 5.70 6.07 6.02 .483 5.24 4.95 5.47 5.06 5.86 6.13 6.09 .497 5.34 4.87 5.68 5.11 5.56 6.00 5.95 .519 5.53 5.10 5.87 5.45 5.90 6.19 5.90 .533 5.64 5.15 5.60 5.44 5.77 6.07 5.74 .549 5.66 5.24 5.57 5.25 5.92 6.16 5.60 .563 5.86 5.38 5.33 5.54 5.86 6.23 5.60 Table 9 (continued) J.D. 36 37 38 39 40 41 42 2 400 000 + 28 963.487 6.07 5.49 6.22 5.84 5.30 5.75 5.34 28 991.403 6.02 5.89 6.07 6.10 6.23 5.69 5.78 .416 6.04 5.98 5.89 5.96 6.06 6.19 4.81 .430 5.78 5.99 5.99 6.00 6.37 6.06 4.30 .522 5.16 5.94 6.15 6.04 6.31 6.20 - .542 4.82 5.54 5.92 6.08 6.45 6.31 4.60 29 346.376 5.77 5.57 6.24 5.39 5.69 5.79 5.09 .392 5.99 5.54 6.07 5.49 5.69 5.75 5.49 29 719.549 5.97 6.09 5.94 6.02 6.16 6.56 5.70 .560 5.95 6.04 5.93 6.14 6.14 6.20 5.55 29 720.546 5.57 6.02 5.67 6.04 6.38 6.22 5.15 .558 5.60 5.97 5.76 6.05 6.24 6.21 5.06 29 774.405 6.19 6.00 6.16 5.64 5.74 6.24 5.39 .417 5.85 6.06 6.06 5.64 5.88 6.65 5.24 29 775.403 6.16 5.98 5.98 5.98 5.21 6.20 5.05 .415 6.09 6.00 6.00 5.80 5.44 6.21 5.13 .426 6.04 6.04 5.97 5.74 5.19 6.39 5.16 .437 5.88 6.05 6.12 5.71 5.39 6.70 5.37 .447 6.08 5.92 6.00 5.56 5.60 6.65 5.33 30 052.462 6.10 5.79 5.66 6.29 6.03 6.57 5.71 .474 6.00 5.46 5.49 6.23 6.21 6.46 5.79 .489 6.09 5.57 5.22 6.30 6.07 6.30 5.57 .501 6.22 5.59 5.13 5.82 6.15 6.17 5.84 30 078.418 5.32 5.67 6.03 5.29 6.01 6.18 5.67 .434 5.44 5.76 5.98 5.27 6.08 6.04 5.49 .470 5.64 5.91 6.13 5.49 6.17 6.11 5.40 .483 5.62 6.00 6.02 5.55 6.39 6.39 5.58 .498 5.69 5.85 6.00 5.49 6.07 6.27 5.25 .509 5.69 6.11 6.22 5.66 6.09 6.19 4.85 .521 5.81 6.01 6.24 5.68 6.07 6.24 4.66 .536 5.89 6.04 6.18 5.63 6.22 6.10 4.29 .548 5.84 5.96 6.04 5.78 6.36 6.58 4.43 33 390.497 6.07 5.59 6.04 6.30 6.07 6.02 5.01 .534 6.27 5.76 5.90 6.27 6.12 6.15 4.35 .545 6.22 5.93 5.98 6.22 6.51 6.66 4.56 .558 6.22 5.81 5.74 6.20 6.24 5.98 4.61 .570 6.17 5.87 5.64 6.39 6.39 6.13 4.49 .586 5.55 6.05 5.53 6.24 6.24 - 4.94 33 420.424 6.23 5.66 6.00 6.23 6.55 5.89 5.92 .438 6.26 5.68 6.10 6.15 6.36 5.97 5.70 .450 6.18 5.50 6.16 6.19 6.16 5.97 5.70 .476 6.07 5.45 6.41 6.31 5.62 6.55 5.66 .487 6.05 5.68 6.18 6.11 5.36 6.30 5.59 .498 6.12 5.50 6.46 6.37 5.18 6.10 5.52 .510 6.22 5.45 6.34 6.14 5.19 6.39 6.05 .523 6.09 5.45 - 6.31 5.00 - - 33 421.385 5.89 5.76 5.43 5.89 6.14 5.90 5.31 .442 6.07 5.56 5.73 5.92 6.09 6.05 5.46 .454 6.00 5.47 5.77 5.99 6.30 6.28 5.62 .465 6.05 5.42 5.82 6.11 6.27 6.30 5.34 .475 6.10 5.52 5.90 6.10 6.13 6.01 5.37 .486 6.26 5.39 5.97 6.15 6.17 6.02 5.45 .497 6.21 5.37 6.04 6.15 6.13 6.32 5.37 .535 6.35 5.63 6.18 6.13 6.35 7.01 5.66 .548 6.20 5.63 5.98 6.10 6.20 - 5.60 33 422.398 5.74 5.57 5.03 5.27 5.99 6.18 4.67 .431 6.01 5.42 5.17 5.47 6.08 6.27 5.04 .442 5.76 5.54 5.32 5.63 6.25 6.25 4.70 .452 5.95 5.46 5.23 5.54 6.29 6.29 4.76 .462 5.81 5.35 5.22 5.60 6.53 6.15 4.89 .472 5.96 5.39 5.19 5.72 6.25 6.30 4.75 .483 6.27 5.46 5.54 5.78 6.29 6.42 4.75 .493 5.98 5.63 5.51 5.73 6.17 6.15 4.96 .508 6.11 5.51 5.41 5.74 6.34 6.36 4.90 .520 6.03 5.56 5.50 5.72 6.32 5.91 4.93 33 763.406 5.75 5.65 5.53 6.04 6.12 5.94 5.58 .420 5.72 5.48 5.50 5.99 6.13 6.14 5.82 .442 5.79 5.43 5.60 5.72 6.12 6.04 5.64 .455 5.94 5.41 5.69 5.55 6.21 6.40 5.66 .464 5.84 5.49 5.71 5.38 6.21 6.23 5.78 .483 5.98 5.44 5.71 5.23 6.30 6.45 5.06 .494 5.96 5.47 5.76 5.26 6.35 6.30 4.79 .504 6.12 5.50 5.72 5.27 6.21 6.02 4.52 .514 6.12 5.55 5.80 5.23 6.10 6.28 4.59 .525 6.05 5.56 5.77 5.30 5.70 6.61 4.79 34 118.355 6.36 6.01 5.76 6.12 5.82 - - .372 5.99 6.02 5.90 6.20 5.84 - - .388 6.24 5.99 5.84 6.20 5.84 - - .428 4.84 5.88 5.85 6.22 6.02 5.79 5.01 .443 4.88 5.68 5.98 6.06 6.04 5.90 5.43 .470 5.08 5.36 6.01 5.94 6.20 6.20 - .485 5.10 5.36 6.02 5.92 6.16 6.34 5.59 .499 5.20 5.40 6.06 6.28 6.32 6.06 - .513 5.30 5.43 6.21 6.18 6.18 6.23 5.73 .526 5.32 5.45 6.12 6.44 5.98 - - .540 5.51 5.51 5.95 6.17 6.37 6.42 5.40 34 120.471 6.23 5.36 5.22 5.53 5.36 6.16 - .484 6.14 5.57 5.33 5.55 5.47 - - .497 6.09 5.45 5.41 5.73 5.54 - - .510 6.19 5.51 5.38 5.76 5.59 6.19 5.60 .523 6.07 5.52 5.55 5.82 5.67 6.02 5.06 .536 6.13 5.70 5.64 5.72 5.72 6.19 4.66 34 120.551 6.27 5.75 5.62 5.75 5.80 6.36 4.40 .564 6.27 5.84 5.78 5.81 5.86 5.99 4.22 .579 5.86 5.88 5.96 5.98 5.96 6.12 4.46 34 121.401 5.93 5.48 6.05 5.95 6.31 6.00 - .412 6.17 5.48 6.10 5.98 6.22 6.32 - .422 5.95 5.40 6.24 6.14 6.16 6.14 - .431 5.96 5.37 5.99 5.99 6.30 6.04 - .441 6.06 5.35 6.14 6.10 6.22 6.10 - .484 6.06 5.46 6.19 6.06 5.59 6.09 - .495 6.10 5.58 6.05 6.05 5.40 6.17 - .505 6.16 5.59 5.97 5.98 5.10 5.76 - .517 6.12 5.68 6.06 5.94 5.14 6.12 - .528 6.04 5.66 5.89 5.78 5.14 6.02 - .539 6.08 5.70 5.82 5.61 5.19 - - .552 6.16 5.81 5.44 5.32 5.19 - - .562 6.01 5.70 5.30 5.30 5.24 - - .594 6.12 5.99 5.33 5.33 5.49 - 4.62 .605 - 6.00 5.27 5.30 5.47 - - 34 122.404 5.80 5.42 - 6.01 - - - .416 5.62 5.33 6.00 5.84 5.96 - 4.76 .431 5.71 5.29 6.00 5.98 6.15 6.10 4.87 34 126.433 6.13 - 5.94 5.78 5.84 5.82 4.84 34 131.415 6.60 - 6.10 6.10 5.52 5.41 - 34 487.347 5.47 5.65 5.97 5.20 5.90 5.44 5.62 .367 5.69 5.64 6.07 5.20 6.14 5.36 5.76 .385 5.79 5.71 5.91 5.22 5.96 5.30 5.99 .397 5.68 5.66 5.88 5.33 5.88 5.20 5.80 .410 - 5.92 5.92 5.38 5.92 5.32 5.76 .428 5.89 5.95 5.98 5.61 6.11 5.74 - .438 5.82 5.93 5.93 5.46 6.11 5.25 5.78 .449 5.93 6.05 6.13 5.60 6.11 5.67 5.77 .460 6.06 5.97 6.02 5.66 6.40 5.73 5.89 .474 6.06 6.07 - 5.60 6.04 5.64 5.72 .483 5.83 6.01 6.06 5.74 6.08 5.54 5.70 .494 6.03 6.14 6.43 5.85 6.20 5.60 - .508 6.00 5.94 6.08 6.12 6.17 5.57 5.47 .518 6.05 5.95 6.00 5.73 6.12 5.85 6.02 34 488.530 5.97 5.59 6.17 5.15 6.34 6.08 5.23 .540 5.82 5.54 5.88 5.06 6.01 5.85 5.59 34 567.388 6.12 5.70 6.10 5.89 6.19 5.29 4.86 35 223.415 5.74 5.93 6.07 6.18 6.18 5.95 5.23 .428 5.72 5.92 6.13 6.13 6.26 6.37 5.49 .441 5.81 5.89 6.10 6.00 6.15 6.19 5.50 .467 5.97 5.51 6.16 5.80 5.46 6.30 5.78 .490 6.01 5.43 5.92 5.62 5.02 6.30 5.51 .503 6.02 5.47 6.02 5.54 5.07 6.38 5.54 35 223.517 5.96 5.41 6.07 5.60 5.14 6.14 5.01 .530 6.01 5.38 6.19 5.58 5.24 6.34 4.64 .546 6.08 5.38 6.03 5.51 5.36 6.08 4.33 .573 6.07 5.48 6.07 5.52 5.52 6.15 4.40 35 224.454 5.46 5.51 5.79 6.00 6.08 6.10 5.51 .472 5.50 5.45 6.06 6.16 6.32 6.09 5.38 .485 5.64 5.36 5.88 6.04 6.18 6.10 5.44 .499 5.62 5.41 6.04 6.26 6.26 6.01 5.60 .512 5.75 5.40 6.23 6.16 6.26 6.19 5.42 .524 5.82 5.33 5.96 6.06 6.49 6.30 5.52 .542 5.86 5.39 5.94 6.20 6.12 6.28 5.62 .556 5.95 5.53 5.88 6.03 5.81 6.12 5.88 .569 6.10 5.69 5.99 6.43 5.54 - - .583 5.99 5.78 6.26 6.00 5.15 6.06 5.59 35 227.534 6.45 - 6.04 5.96 5.83 5.46 5.91 .547 6.52 5.73 5.85 6.04 6.16 5.32 - .560 - 5.80 5.80 6.06 5.95 5.14 5.95 .573 6.23 5.80 5.54 5.78 6.11 5.25 - .586 5.71 5.71 5.40 5.71 5.79 5.32 - 35 598.507 6.04 5.32 6.02 6.11 5.58 6.44 5.47 .524 6.04 5.52 6.04 6.06 5.30 6.33 5.52 .537 6.00 5.54 5.98 6.22 5.09 6.00 5.60 35 600.363 5.69 5.82 5.54 5.64 6.03 6.09 5.50 .378 5.43 6.06 5.35 5.35 5.82 6.09 5.52 .391 5.78 5.87 5.34 5.50 5.93 6.08 5.46 .405 5.60 5.80 5.42 5.42 5.86 6.42 5.82 .421 5.62 5.64 5.60 5.52 6.08 6.02 5.75 .434 5.69 5.62 5.53 5.51 6.10 6.01 5.83 .446 5.87 5.39 5.64 5.52 6.07 6.25 5.70 .501 5.88 5.46 5.76 5.87 6.27 6.00 5.64 .525 6.16 5.70 5.97 5.92 6.30 5.45 5.70 35 603.369 6.02 5.48 5.86 5.44 6.22 - - .381 5.98 5.33 6.12 5.62 6.20 - - .397 6.10 5.34 5.94 5.73 6.05 6.08 5.73 .408 5.90 5.40 5.99 5.55 6.20 5.94 5.41 .419 6.04 5.45 6.10 5.69 6.36 5.98 5.69 .431 6.12 5.52 6.12 5.91 6.37 5.87 5.65 .446 6.13 5.47 6.02 5.60 6.08 5.53 5.67 .457 6.25 5.61 6.25 5.94 6.31 5.23 5.31 .468 6.09 5.49 6.14 5.76 5.62 5.14 5.70 .491 5.91 5.64 6.08 5.81 5.17 5.08 5.55 .507 5.24 5.77 6.12 6.02 5.08 5.38 5.80 35 920.444 6.16 6.00 6.17 5.08 6.29 6.32 5.39 .467 6.11 6.00 6.11 5.28 6.38 6.42 5.50 .487 5.90 - 5.87 5.22 5.91 5.84 4.63 .504 4.94 5.73 5.97 5.47 6.09 6.22 - 35 920.547 4.87 5.49 6.13 5.70 6.29 6.32 4.83 .562 4.86 5.38 6.32 5.73 6.32 6.25 - .585 5.08 5.74 6.14 5.87 6.22 6.30 4.40 35 933.415 5.77 5.69 6.19 5.52 5.52 5.77 5.69 .443 6.04 5.81 5.91 5.65 5.71 5.88 5.51 .479 5.93 5.95 5.15 5.72 5.72 5.95 4.71 .503 6.19 6.00 4.89 5.88 5.90 5.90 4.31 .515 6.03 6.22 5.04 5.85 5.99 5.99 4.30 .530 6.56 6.08 5.08 5.98 5.98 6.06 4.43 .543 - 6.07 5.19 5.98 5.89 6.10 4.29 .573 5.78 5.85 5.58 6.05 6.26 6.14 4.64 .588 5.18 5.56 5.74 5.96 6.01 5.88 4.48 .602 4.70 5.61 5.71 6.20 6.10 - - 36 991.457 5.92 5.74 4.91 5.97 6.26 6.00 5.72 .470 6.19 6.06 4.74 6.16 6.14 6.14 - .485 5.56 5.87 4.92 6.04 5.97 6.07 5.69 37 018.470 6.08 5.62 5.85 6.26 6.05 5.34 5.03 .483 6.20 5.67 5.88 6.21 6.12 5.45 5.12 .496 6.10 5.69 5.85 6.16 6.20 5.70 5.24 .510 5.97 5.87 5.98 6.05 6.12 5.74 5.12 .523 6.12 5.86 5.96 6.14 6.30 5.80 6.06 .537 5.92 5.90 5.92 5.90 5.90 5.66 - .550 6.20 6.05 6.11 6.11 6.20 5.92 5.24 .563 6.08 6.12 6.41 - 6.30 5.89 - .577 - 5.82 6.09 6.14 6.10 5.88 5.72 .609 6.22 6.05 5.96 6.24 6.40 6.05 5.48 .623 - - 5.97 6.09 6.40 6.09 - .637 6.35 5.98 6.11 6.32 6.03 6.52 5.58 37 057.539 4.94 5.69 6.05 5.72 5.95 6.19 - .552 5.14 5.65 6.13 5.43 6.04 6.36 6.10 .578 5.28 5.50 - 5.28 6.36 6.12 - 37 058.529 6.29 5.60 5.73 6.16 5.35 6.29 5.56 .580 6.06 5.59 6.06 6.48 5.97 5.97 - 37 757.598 5.23 5.36 5.96 6.07 - 5.90 - 37 791.365 4.65 5.92 6.00 5.49 6.35 6.00 4.75 .380 5.02 5.93 5.93 5.40 6.23 5.89 4.89 .394 5.21 6.09 5.94 5.50 6.25 6.07 5.12 .424 5.31 6.09 6.03 5.43 5.85 6.36 5.27 .439 5.46 5.98 5.97 5.50 5.55 5.77 5.42 .454 5.31 6.03 5.95 5.47 5.36 - - .469 5.59 5.97 5.96 5.69 5.16 5.96 5.41 .483 5.47 5.86 6.06 - 5.12 5.86 5.24 .497 5.51 5.60 6.00 5.67 5.13 5.88 5.42 .519 5.85 5.53 6.16 5.77 5.32 5.66 5.27 .533 5.77 5.47 6.18 5.77 5.47 5.88 5.26 .549 6.01 5.44 6.06 5.77 5.60 5.66 5.30 .563 5.89 5.36 6.23 5.92 5.76 5.67 5.36 Table 9 (continued) J.D. 43 44 45 46 47 48 49 2 400 000 + 28 963.487 4.70 5.87 5.42 5.22 5.57 5.60 5.93 28 991.403 5.38 6.04 5.35 5.72 4.74 5.48 6.01 .416 5.46 6.06 5.30 5.86 4.73 5.75 5.96 .430 5.33 5.96 5.33 5.94 4.65 5.47 5.91 .522 4.35 5.70 5.72 - 5.02 5.60 5.25 .542 4.23 5.58 5.73 5.82 5.09 5.45 5.32 29 346.376 5.33 5.97 5.35 5.57 5.11 5.74 5.24 .392 5.75 6.10 5.49 5.79 5.36 5.95 5.69 29 719.549 5.76 6.16 5.67 5.97 5.76 5.53 6.02 .560 5.66 6.60 5.55 5.77 5.77 5.66 5.77 29 720.546 5.62 5.89 5.18 5.87 5.98 5.96 5.98 .558 5.57 5.90 4.80 5.69 5.85 5.76 5.88 29 774.405 5.55 6.16 6.00 5.49 5.41 5.84 5.34 .417 5.60 5.98 5.88 5.54 5.39 6.06 5.06 29 775.403 5.46 6.04 5.56 6.08 5.26 5.48 6.10 .415 5.49 6.02 5.70 5.94 5.23 5.36 6.02 .426 5.55 5.97 5.59 5.81 5.33 5.53 6.04 .437 5.57 5.64 5.90 6.19 5.39 5.57 6.02 .447 5.50 5.53 5.92 6.00 5.50 5.58 6.04 30 052.462 5.90 5.17 5.83 5.80 5.55 5.79 5.66 .474 5.88 5.06 5.88 5.79 5.49 5.83 5.60 .489 5.65 5.14 5.87 5.75 5.56 5.87 5.62 .501 5.64 5.23 5.91 5.85 5.69 5.91 5.91 30 078.418 5.96 5.56 6.20 5.99 5.59 5.96 5.99 .434 5.76 5.49 6.30 5.94 5.57 5.94 5.88 .470 5.24 5.62 6.09 5.75 5.64 5.83 - .483 4.69 5.57 6.10 5.72 5.65 5.62 5.96 .498 4.40 5.58 5.92 5.66 5.66 5.49 5.90 .509 4.53 5.71 6.19 5.69 5.77 5.41 5.88 .521 4.69 5.89 6.09 5.53 5.91 5.45 5.97 .536 4.86 5.83 6.32 5.45 5.84 5.36 6.00 .548 4.86 5.78 6.20 5.32 5.94 5.31 6.07 33 390.497 5.69 6.07 6.47 6.14 5.94 5.84 5.05 .534 5.68 6.03 6.12 5.92 5.95 5.83 5.33 .545 5.67 6.02 6.22 6.02 6.00 5.82 5.33 .558 5.57 5.95 6.47 6.07 5.91 5.74 5.38 .570 5.80 5.96 6.17 5.87 5.87 5.78 5.52 .586 5.55 5.97 6.37 5.97 5.97 5.84 5.63 33 420.424 5.34 6.00 5.60 5.66 5.98 5.19 6.41 .438 5.21 6.07 5.68 5.95 5.90 5.40 6.24 .450 5.33 5.98 5.86 5.87 5.87 5.41 5.95 .476 5.26 5.93 5.98 5.80 5.16 5.34 6.09 .487 5.48 6.05 5.90 5.90 4.93 5.41 6.05 .498 5.56 5.94 6.18 6.00 4.79 5.35 6.14 .510 5.38 5.92 6.03 6.08 4.84 5.30 6.03 .523 5.34 5.49 - 6.02 4.98 5.49 6.09 33 421.385 5.50 6.00 5.07 5.58 5.92 5.76 5.90 .442 5.33 5.90 5.40 5.39 6.09 5.92 6.04 .454 5.20 5.84 5.51 5.34 5.95 5.80 6.15 .465 5.06 6.05 5.54 5.27 5.90 5.80 6.25 .475 5.05 5.83 5.71 5.29 6.10 5.80 6.10 .486 4.97 5.99 5.78 5.41 6.03 5.89 6.22 .497 5.17 5.96 5.62 5.43 6.17 5.70 6.07 .535 5.16 5.70 5.90 5.72 5.79 5.98 6.35 .548 5.31 5.58 5.86 5.66 5.39 5.96 6.12 33 422.398 5.79 6.24 6.07 6.07 5.99 5.57 5.94 .431 6.03 6.18 5.07 5.99 6.08 5.62 5.93 .442 5.83 6.09 5.18 5.76 5.76 5.67 6.03 .452 5.76 5.99 4.96 5.95 5.95 5.64 5.70 .462 5.60 5.89 5.04 5.89 5.83 5.50 6.02 .472 5.57 5.77 5.24 5.91 6.06 5.57 6.00 .483 5.57 6.09 5.29 5.92 6.01 5.87 6.27 .493 5.63 6.13 5.30 5.76 5.92 5.76 5.92 .508 5.39 6.06 5.33 5.94 6.03 5.66 5.97 .520 5.30 5.72 5.78 5.86 5.86 5.59 6.00 33 763.406 5.92 5.43 5.26 5.92 5.75 5.65 5.72 .420 5.75 5.38 5.35 5.94 5.63 5.60 5.80 .442 5.82 5.45 5.50 6.02 5.35 5.73 5.81 .455 5.98 5.62 5.55 5.98 5.27 5.77 5.89 .464 5.91 5.55 5.58 5.95 5.24 5.67 5.89 .483 5.98 5.53 5.50 5.87 5.23 5.82 5.85 .494 5.81 5.61 5.66 5.94 5.21 5.70 5.88 .504 6.00 5.61 5.67 5.97 5.35 5.79 5.93 .514 6.02 5.65 5.85 5.90 5.44 5.73 5.95 .525 6.05 5.65 5.82 5.98 5.45 5.82 5.98 34 118.355 5.82 5.68 5.37 5.74 5.37 5.89 6.08 .372 5.66 5.23 5.50 5.50 5.26 5.60 5.79 .388 5.84 5.04 5.50 5.59 5.28 5.87 6.16 .428 5.61 5.19 5.85 5.82 5.41 5.85 5.72 .443 5.86 5.46 5.88 5.74 5.57 5.78 5.83 .470 5.94 5.68 6.18 5.87 5.66 5.60 5.36 .485 5.78 5.55 6.16 5.71 5.55 5.44 5.10 .499 5.82 5.55 6.09 5.90 5.55 5.42 5.09 .513 5.84 5.76 6.23 5.76 5.46 5.27 5.16 .526 - 5.75 5.84 5.72 - 5.37 5.22 .540 5.48 5.77 6.30 5.99 5.77 5.30 5.33 34 120.471 5.18 5.36 5.31 5.79 5.45 5.31 5.95 .484 5.21 5.52 5.40 5.81 5.40 5.49 5.99 .497 5.60 5.45 5.60 5.96 5.32 5.41 6.01 .510 5.45 5.55 5.55 5.85 5.40 5.40 5.96 .523 5.44 5.67 5.59 5.69 5.49 5.39 5.94 .536 5.62 5.62 5.72 5.88 5.36 5.41 5.90 34 120.551 5.66 5.77 5.75 5.91 5.35 5.47 6.15 .564 5.73 5.86 5.90 5.95 5.50 5.50 5.98 .579 5.52 5.88 5.88 6.00 5.61 5.63 6.00 34 121.401 4.78 5.48 6.20 5.58 5.78 5.82 5.62 .412 4.70 5.42 - 5.66 5.93 5.84 5.76 .422 4.84 5.27 6.38 5.69 5.69 5.82 5.82 .431 4.85 5.42 6.12 5.70 5.74 5.81 5.76 .441 4.87 5.32 6.00 5.74 5.70 5.79 5.92 .484 5.20 5.46 4.87 5.68 5.78 5.80 5.93 .495 5.22 5.64 4.89 5.70 5.83 5.83 6.03 .505 5.39 5.59 5.06 5.73 5.67 5.80 5.96 .517 5.51 5.51 5.18 5.80 5.71 5.92 6.02 .528 5.69 5.69 5.22 5.74 5.66 5.83 5.89 .539 5.66 5.66 5.32 5.75 5.48 5.76 6.02 .552 5.70 5.70 5.39 5.87 5.44 5.87 5.98 .562 - - 5.32 5.84 5.37 - - .594 5.66 5.66 5.53 5.71 5.36 5.69 5.99 .605 - - 5.73 - 5.35 5.67 - 34 122.404 5.54 5.54 6.08 5.77 5.69 5.42 5.54 .416 5.29 5.29 6.32 5.74 5.65 5.38 5.40 .431 5.27 5.27 6.28 5.91 5.80 5.54 5.50 34 126.433 5.78 5.78 5.74 5.58 5.42 5.66 5.89 34 131.415 6.22 6.22 6.04 5.85 5.47 5.98 5.90 34 487.347 4.92 6.08 5.88 5.92 5.41 5.80 5.97 .367 5.18 6.00 5.92 5.96 5.38 5.86 6.18 .385 5.26 6.24 6.14 6.12 5.26 5.84 6.14 .397 5.17 6.14 5.70 5.84 5.17 5.61 5.72 .410 5.24 6.42 6.26 5.84 5.40 6.09 5.60 .428 5.36 5.92 6.12 5.56 5.36 5.89 4.73 .438 5.33 6.14 5.93 5.46 5.42 5.84 4.79 .449 5.63 5.60 6.23 5.56 5.60 5.90 4.85 .460 5.37 5.54 6.33 5.52 5.52 5.66 4.86 .474 5.36 5.64 6.35 5.33 5.48 5.70 4.90 .483 5.54 5.80 - 5.37 5.70 5.76 5.02 .494 5.26 5.57 - 5.23 5.53 5.73 5.19 .508 5.84 5.39 6.20 5.47 5.64 5.62 5.32 .518 5.91 4.95 6.10 5.41 5.63 6.05 5.53 34 488.530 5.63 4.88 6.21 5.87 5.42 5.81 4.68 .540 5.25 4.82 6.04 5.82 5.44 5.71 4.80 34 567.388 5.10 6.00 6.28 5.91 4.92 5.34 6.17 35 223.415 4.90 5.01 6.10 5.82 5.82 5.70 5.98 .428 5.00 5.09 6.26 5.92 5.92 5.62 5.92 .441 5.30 5.30 6.20 5.63 5.89 5.52 5.96 .467 5.14 5.42 6.14 5.55 5.84 5.24 5.99 .490 5.43 5.70 6.17 5.49 5.88 5.20 6.06 .503 5.30 5.65 6.27 5.54 5.89 5.25 6.02 35 223.517 5.45 5.75 6.08 5.36 5.91 5.19 5.91 .530 5.34 5.77 6.28 5.36 5.75 5.24 5.94 .546 5.71 5.85 6.25 5.28 5.51 5.24 5.94 .573 - 6.07 - 5.40 4.77 5.32 5.97 35 224.454 4.79 5.19 5.88 5.68 5.98 5.83 5.74 .472 4.80 5.30 6.01 5.78 5.86 5.70 5.70 .485 5.00 5.44 6.08 5.90 5.92 5.85 5.99 .499 5.10 5.50 6.08 5.94 5.99 5.80 6.06 .512 5.08 5.60 6.23 5.94 5.98 5.75 5.94 .524 5.02 5.62 5.98 5.90 5.88 5.79 5.88 .542 5.50 5.79 6.03 5.90 5.83 5.77 5.92 .556 5.51 5.83 6.14 6.03 5.86 5.83 6.05 .569 5.42 6.07 6.20 5.79 5.90 5.82 5.94 .583 5.59 6.12 6.31 5.92 6.06 5.84 6.10 35 227.534 6.14 5.83 5.26 6.09 5.88 6.00 5.43 .547 6.24 5.64 5.30 5.98 6.08 5.92 5.40 .560 6.06 5.78 5.40 5.97 6.00 6.24 5.57 .573 - 5.91 5.54 5.94 6.13 5.92 5.58 .586 6.10 5.58 5.58 6.03 5.76 6.03 5.68 35 598.507 5.40 6.13 5.20 5.74 5.30 5.68 6.02 .524 5.54 6.04 5.48 5.88 5.52 5.81 6.17 .537 5.40 6.02 5.34 5.96 5.52 5.66 6.36 35 600.363 5.82 6.05 6.30 5.82 6.03 5.69 5.19 .378 5.75 6.27 5.98 5.74 5.96 5.55 5.16 .391 5.89 6.13 6.16 5.93 5.97 5.69 5.46 .405 5.82 6.16 6.30 5.84 5.84 5.71 5.42 .421 5.73 6.02 6.12 5.73 5.88 5.88 5.53 .434 5.58 6.08 6.21 5.79 5.64 5.83 5.69 .446 5.74 6.00 6.27 5.74 5.80 5.87 5.59 .501 5.18 6.12 6.27 5.93 5.90 6.02 5.80 .525 4.72 6.16 - 6.05 5.75 6.12 5.92 35 603.369 5.37 5.92 5.22 5.66 5.32 5.23 5.94 .381 5.55 5.94 5.41 5.78 5.44 5.37 6.16 .397 5.57 6.01 5.50 5.66 5.37 5.40 6.16 .408 5.20 5.84 5.41 5.54 5.30 5.32 6.02 .419 5.52 6.14 5.56 5.80 5.45 5.58 6.14 .431 5.74 6.00 5.72 5.96 5.46 5.60 5.90 .446 5.66 6.02 5.70 5.84 5.58 5.55 6.13 .457 5.68 6.15 5.95 5.89 5.50 5.52 5.98 .468 5.76 6.25 5.70 5.95 5.46 5.46 6.11 .491 5.60 6.00 6.00 5.78 5.66 5.58 6.02 .507 5.64 6.12 6.08 5.96 5.68 5.54 6.02 35 920.444 - 5.85 6.22 5.39 4.71 5.14 4.91 .467 - 6.00 6.11 5.60 5.07 5.32 4.74 .487 - 5.92 5.99 5.36 5.00 5.42 4.74 .504 - 5.99 6.03 5.42 5.08 5.30 4.94 35 920.547 - 6.13 6.20 5.33 5.20 5.60 5.37 .562 - 6.00 5.95 5.38 5.20 - 5.20 .585 - 5.89 5.60 5.43 5.17 - 5.26 35 933.415 - 5.24 6.47 5.52 5.18 5.69 5.80 .443 - 5.24 6.08 - 5.25 5.86 5.99 .479 - 5.50 5.67 5.74 5.22 5.67 5.84 .503 - 5.56 4.87 5.69 5.27 5.19 5.80 .515 - 5.80 4.92 5.65 5.52 5.21 5.91 .530 - 5.69 5.02 5.55 5.24 5.24 6.08 .543 - 5.79 5.16 - 5.06 4.85 5.96 .573 - 5.67 5.58 5.64 5.41 4.93 5.81 .588 - 5.74 5.36 5.48 5.34 5.10 5.42 .602 - 5.51 5.51 - 5.03 5.08 5.21 36 991.457 5.40 5.98 6.26 5.90 5.92 5.14 5.84 .470 5.80 6.16 6.09 5.87 5.82 5.21 5.96 .495 5.88 6.16 6.32 5.87 5.93 5.37 6.19 37 018.470 5.55 5.01 6.18 5.69 5.84 5.31 - .483 5.45 4.84 6.14 5.78 6.16 5.46 6.20 .496 5.63 4.95 6.27 5.69 5.79 - 5.98 .510 5.85 5.09 6.19 5.95 6.02 5.38 5.50 .523 5.80 5.16 6.12 5.96 6.20 5.54 4.95 .537 5.55 5.15 5.85 5.76 5.86 - 4.88 .550 - 5.37 5.30 5.86 5.69 5.57 4.80 .563 5.69 5.46 5.06 5.94 5.36 - 4.94 .577 5.88 5.53 4.96 5.87 4.93 5.70 5.06 .609 5.84 5.74 5.24 5.97 4.94 5.84 5.20 .623 5.70 5.94 5.43 6.09 4.98 5.63 5.55 .637 - 5.96 5.34 6.22 5.48 5.77 5.58 37 057.539 5.69 5.20 6.15 5.43 5.38 5.69 5.31 .552 5.87 5.27 6.24 5.38 5.05 5.75 5.38 .578 6.20 5.34 6.12 5.66 5.39 5.89 5.55 37 058.529 5.78 5.35 6.05 5.89 5.89 5.73 5.45 .580 - 5.53 6.36 - 6.48 - 5.20 37 757.598 4.59 5.92 6.01 5.58 5.26 5.52 5.52 37 791.365 - 5.74 6.03 5.69 5.49 5.46 5.85 .380 5.72 5.85 5.93 5.61 5.40 5.52 5.93 .394 5.51 5.86 5.98 5.73 5.73 5.51 5.82 .424 5.39 5.95 5.99 5.57 5.47 5.47 5.83 .439 5.72 5.97 6.12 5.82 5.74 5.63 5.96 .454 5.64 5.95 6.32 5.64 5.72 5.44 5.81 .469 5.56 5.82 6.07 5.66 5.86 5.62 5.72 .483 5.40 5.90 6.20 5.86 5.81 5.56 5.56 .497 5.42 5.85 6.26 5.66 5.73 5.64 5.49 .519 5.81 5.85 6.14 5.90 5.96 5.87 5.45 .533 - 5.88 6.38 5.82 5.82 5.74 5.26 .549 5.46 5.77 6.12 5.86 5.90 5.81 5.40 .563 5.23 5.73 6.39 5.95 5.98 5.76 5.43 Table 9 (continued) J.D. 50 51 52 53 54 55 56 2 400 000 + 28 963.487 5.35 5.30 5.96 4.97 5.60 6.34 5.84 28 991.403 6.04 6.12 5.83 5.35 5.72 5.83 5.48 .416 6.02 5.91 5.91 5.21 5.18 5.84 5.28 .430 6.00 6.09 5.91 5.33 5.13 5.99 5.47 .522 6.25 5.16 5.02 5.30 4.80 6.25 6.03 .542 6.26 5.10 5.20 5.39 4.75 6.24 5.92 29 346.376 5.42 6.06 5.95 5.30 4.99 5.97 5.42 .392 5.71 6.20 5.95 5.49 4.95 5.73 5.36 29 719.549 6.09 6.21 5.90 5.60 5.00 6.11 5.78 .560 6.16 6.14 6.00 5.55 4.98 6.18 5.82 29 720.546 6.00 6.06 5.89 5.54 4.80 6.16 5.67 .558 6.07 6.13 5.85 5.44 4.97 6.21 5.80 29 774.405 5.86 6.28 6.03 5.12 5.71 5.61 6.30 .417 5.98 6.11 5.91 5.15 5.82 5.85 5.91 29 775.403 5.93 5.77 6.14 4.87 5.61 5.21 5.99 .415 6.02 5.91 5.97 5.10 5.76 5.29 6.04 .426 6.00 5.86 5.92 5.16 5.72 5.41 5.81 .437 6.02 5.95 5.93 5.26 5.88 5.44 5.69 .447 5.95 5.95 5.85 5.18 5.83 5.39 5.64 30 052.462 6.03 6.24 6.10 5.99 5.85 5.08 5.72 .474 6.04 6.22 6.27 5.67 5.92 4.97 5.67 .489 5.99 5.99 6.25 5.96 5.84 5.17 5.87 .501 6.15 6.15 6.24 5.80 5.97 5.18 5.69 30 078.418 5.49 5.69 6.14 5.38 5.86 5.06 5.49 .434 5.27 5.60 6.08 5.39 5.71 4.82 5.39 .470 5.27 5.75 6.19 5.54 5.59 5.32 5.73 .483 5.20 5.82 6.04 5.72 5.45 5.39 5.67 .498 5.38 5.83 5.70 5.88 5.15 5.49 5.76 .509 5.51 6.07 5.26 5.63 4.80 5.44 5.71 .521 5.53 5.93 5.09 5.70 4.88 5.62 5.91 .536 5.63 6.00 4.92 5.66 4.92 5.56 5.89 .548 5.46 6.00 5.00 5.82 4.94 5.66 5.84 33 390.497 5.57 6.11 5.98 5.53 5.90 6.07 5.40 .534 5.74 6.30 6.12 5.65 5.90 5.92 5.36 .545 5.69 6.22 6.02 5.54 5.98 6.22 5.42 .558 5.77 6.24 6.09 5.74 5.95 6.22 5.40 .570 5.80 6.17 6.17 5.64 5.80 6.17 5.40 .586 6.18 6.24 6.24 5.79 5.76 6.40 5.48 33 420.424 6.13 5.19 5.92 5.75 6.09 6.47 6.23 .438 6.24 5.37 6.00 5.93 5.83 6.70 6.12 .450 6.12 5.33 6.21 5.87 5.89 6.19 5.89 .476 6.18 5.42 6.09 5.87 5.91 5.45 5.74 .487 6.46 5.50 6.13 5.80 5.74 5.21 5.70 .498 6.55 5.43 5.96 5.73 - 5.10 5.33 .510 6.05 5.45 5.94 5.66 6.08 5.05 5.45 .523 - 5.56 5.94 - - 4.94 5.42 33 421.385 5.74 6.12 5.64 5.66 5.86 6.33 6.00 .442 6.15 6.15 6.02 5.90 5.70 6.09 5.87 .454 6.13 5.99 5.88 5.79 5.79 6.40 5.73 .465 6.09 6.23 5.92 5.80 5.60 6.30 5.48 .475 6.10 6.37 5.84 5.72 5.77 6.22 5.52 .486 6.26 6.47 5.99 5.76 - 6.34 5.44 .497 6.28 6.13 5.89 5.77 5.87 6.30 5.43 .535 6.12 6.08 6.12 5.74 - 5.44 5.50 .548 6.27 5.60 6.18 5.58 - 5.18 5.39 33 422.398 5.92 5.99 5.71 5.81 6.07 6.12 5.79 .431 5.95 6.11 5.93 5.91 6.05 6.44 5.83 .442 5.99 6.22 6.03 5.76 5.83 6.03 5.76 .452 6.16 6.23 5.95 5.76 5.99 6.20 5.58 .462 6.13 6.15 6.09 6.13 6.05 6.15 5.37 .472 5.91 6.15 5.91 5.80 5.93 6.15 5.42 .483 6.24 6.19 5.87 5.95 5.87 6.12 5.46 .493 6.21 6.21 5.90 5.73 5.90 6.33 5.47 .508 6.20 6.20 5.88 5.80 5.80 6.44 5.43 .520 6.18 6.05 5.81 5.72 5.83 6.29 5.33 33 763.406 5.18 5.84 5.93 5.80 4.75 5.61 5.65 .420 5.23 5.87 5.87 5.78 4.77 5.71 5.80 .442 5.47 5.90 5.96 5.12 4.90 5.81 5.79 .455 5.46 5.98 6.18 4.77 5.17 5.94 5.89 .464 5.62 6.01 6.18 4.72 5.14 5.93 5.95 .483 5.65 6.06 6.00 4.82 5.23 6.05 6.00 .494 5.75 6.09 5.55 4.90 5.26 5.94 5.94 .504 5.87 6.12 5.30 4.92 5.37 6.04 5.99 .514 5.85 6.14 4.99 5.02 5.39 6.14 6.04 .525 5.93 6.17 4.99 5.17 5.42 6.15 6.02 34 118.355 5.97 5.37 5.88 5.96 - 5.82 5.88 .372 6.04 5.41 5.84 5.20 - 5.66 5.75 .388 6.12 5.68 5.99 4.80 4.90 5.68 5.73 .428 5.02 5.85 6.08 4.72 4.72 5.88 5.99 .443 4.88 5.88 6.02 4.92 4.92 5.86 5.95 .470 4.82 5.87 6.10 5.27 - 6.25 6.26 .485 5.00 5.84 6.02 5.14 5.25 6.04 5.92 .499 5.13 5.90 6.06 5.33 5.23 6.32 5.99 .513 5.27 5.96 6.02 5.43 5.46 6.26 6.02 .526 5.29 5.80 6.02 5.45 - 5.98 5.80 .540 5.58 6.33 5.95 5.37 5.33 6.22 5.66 34 120.471 5.22 6.06 5.83 4.99 4.87 5.56 5.99 .484 4.95 6.19 5.87 5.24 5.03 5.62 6.00 .497 4.83 6.07 5.96 5.13 5.13 5.73 6.00 .510 4.86 6.12 5.96 5.29 5.19 5.73 5.76 .523 4.85 6.11 6.16 5.30 5.28 5.80 5.88 .536 4.98 6.20 6.09 5.36 5.24 5.84 5.54 34 120.551 5.03 6.18 6.03 5.40 5.38 5.82 5.32 .564 5.25 5.88 6.07 5.66 5.50 5.95 5.61 .579 5.46 5.55 6.02 5.78 5.55 5.96 5.46 34 121.401 6.22 5.78 5.78 5.16 - 6.12 5.97 .412 6.14 5.86 5.66 4.94 5.37 5.91 6.17 .422 6.29 5.90 5.72 4.70 5.18 5.50 6.30 .431 5.96 5.88 5.76 4.64 4.85 5.21 6.96 .441 6.16 6.08 5.81 4.72 4.87 4.95 5.92 .484 5.82 6.09 5.93 5.04 4.91 5.20 6.02 .495 5.38 6.11 5.92 5.06 4.93 5.26 5.94 .505 5.17 6.04 5.96 5.21 5.21 5.39 5.85 .517 4.87 6.10 6.00 5.34 5.24 5.38 5.75 .528 4.82 5.94 5.89 5.22 5.30 5.46 5.54 .539 4.83 6.19 6.02 5.43 5.40 5.54 5.46 .552 4.83 6.24 6.02 5.32 5.39 5.63 5.44 .562 5.02 6.20 - 5.32 - 5.73 5.32 .594 5.30 6.01 6.01 5.53 5.60 5.84 5.42 .605 5.25 - - - - 5.71 5.46 34 122.404 - 5.40 5.50 5.46 - - 5.78 .416 6.42 5.38 5.45 5.05 - 6.15 6.20 .431 6.26 5.56 5.56 4.75 - 6.24 6.02 34 126.433 6.21 5.42 5.34 5.66 5.84 6.00 5.89 34 131.415 5.83 6.26 6.27 5.90 5.78 6.35 5.60 34 487.347 5.17 5.25 5.36 5.90 5.66 6.20 6.10 .367 5.43 5.23 5.40 5.76 - 6.12 5.64 .385 5.63 5.26 5.53 5.79 5.68 6.12 5.44 .397 5.57 5.33 5.40 5.72 - 5.94 5.40 .410 5.67 5.49 5.88 6.16 5.88 6.09 5.57 .428 5.63 5.63 5.63 5.72 5.81 6.02 5.40 .438 5.83 5.56 5.64 5.42 5.66 6.20 5.38 .449 5.83 5.60 5.77 5.16 5.67 6.12 5.39 .460 5.66 5.60 5.83 4.86 5.66 6.18 5.40 .474 5.82 5.55 5.60 4.69 6.19 6.09 5.40 .483 5.98 5.66 5.72 4.74 6.08 - 5.50 .494 6.07 5.78 5.78 4.79 - 6.18 5.50 .508 6.02 5.86 5.66 4.87 5.86 5.84 5.53 .518 6.00 5.91 5.92 4.98 5.60 5.60 5.59 34 488.530 6.02 5.05 5.95 5.00 - 6.35 5.81 .540 6.01 5.34 5.77 5.12 - 6.25 5.82 34 567.388 5.63 5.45 5.23 5.50 - 6.21 6.00 35 223.415 5.90 5.95 6.01 5.77 5.33 6.27 5.39 .428 5.84 6.13 5.77 5.77 5.27 5.79 5.32 .441 5.81 6.07 5.63 5.85 5.28 5.37 5.43 .467 5.84 6.19 5.02 5.78 5.17 4.98 5.30 .490 5.97 6.10 5.04 5.72 5.04 5.07 5.49 .503 5.95 6.13 5.21 5.79 4.91 5.25 5.62 35 223.517 6.08 6.16 5.19 5.72 5.01 5.24 5.65 .530 6.17 6.19 5.34 5.82 5.04 5.45 5.70 .546 5.91 6.15 5.40 5.69 5.06 5.53 5.96 .573 5.89 5.87 5.32 5.05 5.40 5.78 6.05 35 224.454 5.68 5.79 5.76 5.72 5.12 6.21 5.46 .472 5.80 5.75 5.54 5.70 4.98 6.25 5.45 .485 5.88 5.70 5.26 5.72 5.02 6.06 5.54 .499 5.80 5.84 5.02 5.92 4.83 5.50 5.73 .512 5.78 5.80 4.98 5.80 4.95 5.08 5.72 .524 5.74 5.67 5.09 5.88 4.94 4.94 5.80 .542 5.88 5.98 5.19 5.85 5.00 5.00 5.94 .556 5.86 5.88 5.30 5.68 5.04 5.14 6.14 .569 6.14 6.03 5.36 5.54 5.26 5.20 6.12 .583 6.14 6.08 5.59 5.20 5.27 5.46 5.89 35 227.534 5.88 6.36 6.40 6.07 5.11 6.25 5.80 .547 5.80 6.14 6.14 6.16 5.15 6.12 6.00 .560 5.90 6.42 5.84 5.92 5.05 6.58 6.20 .573 5.74 5.82 5.51 6.12 - 6.04 5.94 .586 6.03 6.14 5.10 - - 6.00 5.74 35 598.507 6.14 5.86 5.80 5.80 5.88 6.26 5.40 .524 6.44 6.14 6.02 6.02 5.98 6.04 5.36 .537 6.32 6.00 5.86 5.79 5.98 5.90 5.36 35 600.363 5.43 5.88 5.24 5.30 5.43 6.03 6.12 .378 5.38 5.40 5.06 5.38 5.35 6.29 5.92 .391 5.48 5.34 5.34 5.52 5.57 5.87 5.92 .405 5.78 5.16 5.29 5.50 5.68 6.05 5.77 .421 5.91 5.25 5.46 5.53 5.66 6.00 5.78 .434 5.64 5.21 5.27 5.53 5.56 6.57 5.51 .446 5.89 5.29 5.30 5.60 5.77 6.07 5.53 .501 5.97 5.59 5.66 5.85 5.85 6.29 5.28 .525 5.92 5.79 5.82 5.79 5.88 6.59 5.66 35 603.369 4.87 5.27 6.12 5.25 5.32 5.16 5.94 .381 4.97 5.44 6.04 5.37 - 5.22 5.86 .397 5.10 5.47 6.05 5.49 - 5.37 5.59 .408 5.07 5.50 5.95 5.50 - 5.41 5.52 .419 5.35 5.56 5.62 5.56 - 5.50 5.43 .431 5.40 5.82 5.60 5.54 - 5.58 5.52 .446 5.37 5.63 5.29 5.60 5.58 5.47 5.24 .457 5.62 5.80 5.32 5.56 5.57 5.82 5.40 .468 5.57 5.87 5.20 5.67 5.59 5.73 5.39 .491 5.71 5.82 5.32 5.62 5.71 5.81 5.42 .507 5.80 5.86 5.56 5.74 5.60 5.82 5.59 35 920.444 4.95 5.04 4.71 4.99 5.36 6.39 5.86 .467 4.78 5.32 4.99 5.43 5.32 6.16 5.50 .487 4.84 5.16 - 5.56 5.76 5.89 5.54 .504 5.26 5.50 5.18 5.38 5.42 6.14 5.42 35 920.547 5.40 5.69 5.29 - 5.40 6.27 5.40 .562 5.51 5.62 5.35 5.38 5.51 6.25 5.38 .585 5.66 5.78 5.43 5.48 5.30 6.18 5.66 35 933.415 5.58 5.52 5.40 5.69 4.86 4.82 5.48 .443 5.86 5.83 5.20 4.70 4.75 4.93 5.59 .479 5.95 5.84 5.77 4.66 4.75 5.36 5.67 .503 6.10 5.77 5.53 4.76 4.68 5.50 5.88 .515 6.03 5.99 5.57 4.88 5.21 5.70 5.82 .530 6.35 5.98 5.63 5.02 5.24 5.86 6.16 .543 - 5.87 5.44 4.97 5.19 - 5.96 .573 5.98 5.84 5.64 5.12 5.54 6.04 6.05 .588 6.35 5.96 5.42 5.10 5.12 5.78 5.94 .602 5.84 5.87 5.26 5.19 - 5.84 5.96 36 991.457 5.92 5.06 6.07 5.79 6.47 4.87 5.61 .470 6.40 5.27 6.61 5.98 - 4.87 5.55 .485 6.20 5.45 6.15 6.08 5.83 5.03 5.74 37 018.470 4.62 6.00 5.04 - 5.67 5.15 5.55 .483 4.57 5.99 5.28 4.78 5.50 4.92 5.63 .496 4.62 5.93 5.15 4.80 5.20 4.97 5.70 .510 4.90 6.00 5.42 5.08 5.61 - 5.75 .523 5.10 5.96 5.53 5.07 5.56 5.34 5.77 .537 5.25 5.89 5.26 5.26 5.79 5.27 5.69 .550 5.23 5.85 5.52 5.24 5.66 5.45 5.71 .563 5.46 6.36 5.50 5.48 5.86 5.48 6.07 .577 5.60 6.00 5.48 5.51 5.53 5.73 5.82 .609 5.84 6.27 5.86 5.51 5.78 5.72 5.94 .623 5.72 6.33 5.72 5.77 5.64 5.77 5.96 .637 6.00 6.26 6.03 5.74 6.03 5.77 6.06 37 057.539 5.31 5.84 6.15 5.92 6.02 6.40 6.11 .552 5.50 5.68 6.10 5.75 5.79 6.21 5.92 .578 5.67 5.84 6.19 - 5.92 6.20 5.45 37 058.529 5.29 6.12 6.12 5.69 5.50 6.29 6.01 .580 5.53 5.59 6.40 - 6.26 6.40 - 37 757.598 6.21 5.33 5.98 4.92 5.20 5.00 5.98 37 791.365 5.92 6.25 5.49 - 5.69 6.25 5.43 .380 5.89 6.07 5.52 5.72 5.40 6.16 5.61 .394 5.90 6.23 5.51 5.62 5.54 6.23 5.51 .424 5.89 6.02 5.70 5.01 5.38 6.27 5.69 .439 5.98 5.86 5.78 4.67 5.15 6.11 5.85 .454 5.91 5.53 5.57 - 4.95 5.64 5.85 .469 6.03 5.50 5.71 4.72 - 5.36 5.99 .483 5.90 5.12 5.69 4.81 5.34 5.02 6.09 .497 5.96 5.20 5.75 4.91 5.12 4.98 6.00 .519 6.14 5.22 5.90 5.05 5.36 5.13 6.07 .533 6.04 5.37 5.77 5.11 5.34 5.19 6.04 .549 6.04 5.46 5.84 5.30 5.53 5.33 5.92 .563 6.12 5.46 5.98 5.40 5.70 5.43 6.00 Table 9 (continued) J.D. 57 58 59 60 61 62 63 2 400 000 + 28 963.487 5.19 5.50 6.13 5.42 5.93 5.98 5.93 28 991.403 6.04 6.07 5.75 5.69 5.44 5.78 5.89 .416 6.20 5.75 5.60 5.84 5.34 5.75 5.93 .430 5.91 5.60 5.78 5.94 5.43 5.75 5.96 .522 5.96 5.55 5.99 5.89 5.61 5.87 6.12 .542 5.43 5.92 6.05 6.03 5.65 5.91 6.17 29 346.376 6.06 4.60 5.33 5.27 5.91 5.93 6.37 .392 6.24 4.95 5.54 5.38 5.85 5.77 6.09 29 719.549 5.70 6.09 6.49 5.70 6.31 6.02 6.21 .560 5.93 5.72 6.18 5.69 6.24 5.95 6.14 29 720.546 5.42 5.82 5.98 6.02 6.26 6.18 6.11 .558 5.41 5.76 6.07 5.97 6.17 6.09 6.15 29 774.405 5.84 5.52 5.19 5.84 5.49 6.00 5.27 .417 5.80 6.02 5.15 6.32 5.45 6.13 5.35 29 775.403 5.69 5.84 6.04 5.56 5.61 5.95 6.10 .415 5.83 5.85 6.07 5.56 5.59 5.76 6.21 .426 5.76 5.86 6.13 5.51 5.51 5.70 6.05 .437 5.85 5.91 6.10 5.90 5.39 5.66 6.14 .447 5.80 6.06 6.20 5.56 5.39 5.66 6.28 30 052.462 5.55 5.74 5.66 6.10 6.24 6.13 6.36 .474 5.67 6.13 5.76 6.09 6.21 6.17 6.25 .489 5.82 5.91 5.84 5.84 6.42 6.35 6.44 .501 5.80 6.12 5.89 6.24 6.12 6.32 6.24 30 078.418 6.14 5.79 5.88 5.79 6.22 5.92 5.29 .344 6.40 5.71 5.91 5.81 5.98 5.84 5.39 .470 5.27 5.81 5.85 5.73 6.11 5.93 5.66 .483 4.99 5.82 5.92 5.90 6.31 6.14 5.57 .498 4.80 5.72 5.80 5.83 6.16 6.02 5.60 .509 4.95 5.11 6.14 5.95 6.29 6.11 5.66 .521 5.23 5.02 6.16 5.91 6.16 6.07 5.79 .536 5.31 4.57 6.00 6.00 6.00 6.15 5.73 .548 5.29 4.59 6.20 5.94 5.89 6.18 5.64 33 390.397 5.07 5.01 6.07 5.57 6.45 5.40 6.00 .534 5.40 5.25 5.95 5.72 6.30 5.62 6.12 .545 5.51 5.38 6.02 5.88 6.22 5.71 6.09 .558 5.40 5.23 6.11 5.95 6.22 5.55 6.09 .570 5.69 5.31 6.03 5.76 6.17 5.78 6.05 .586 5.81 5.70 6.21 5.79 6.37 5.60 6.15 33 420.424 6.41 4.70 5.40 5.98 5.43 6.13 5.80 .438 6.07 4.79 5.75 6.12 5.65 5.90 5.52 .450 6.21 4.71 5.70 - 5.58 5.70 5.19 .476 6.09 4.92 5.77 6.07 5.56 5.72 5.04 .487 6.15 5.16 5.76 6.05 5.76 5.33 5.28 .498 6.10 5.13 5.75 5.84 5.79 5.35 5.25 .510 6.12 5.23 5.83 5.99 5.83 5.45 5.16 .523 - 5.27 - 6.42 5.61 5.34 5.21 33 421.385 5.86 5.90 6.34 5.94 5.29 5.76 6.20 .442 5.94 4.81 5.92 5.51 5.21 5.97 6.26 .454 5.99 4.62 5.77 5.45 5.34 6.13 6.17 .465 5.92 4.62 5.54 5.34 5.19 6.05 6.23 .475 6.26 4.72 5.41 5.37 5.39 6.12 6.06 .486 - 4.66 5.29 5.27 5.39 6.17 6.10 .497 6.28 4.79 5.19 5.30 5.43 6.09 6.26 .535 6.47 5.11 5.50 5.56 5.54 5.96 6.43 .548 - 5.21 5.36 5.60 5.88 5.98 6.22 33 422.398 5.97 5.76 6.04 5.81 5.99 5.71 6.12 .431 6.11 5.95 6.31 5.91 5.25 5.59 6.41 .442 6.03 5.93 6.01 5.83 5.29 5.65 6.05 .452 6.29 5.50 6.41 5.89 5.23 5.46 6.20 .462 6.02 5.20 6.33 5.87 5.20 5.37 6.13 .472 6.15 4.81 6.35 5.91 5.09 5.42 6.12 .483 6.37 4.61 6.24 5.78 5.22 5.49 - .493 6.17 4.65 6.15 5.90 5.41 5.72 6.20 .508 6.27 4.63 6.17 5.80 5.27 5.51 6.27 .520 6.12 4.66 6.50 5.72 5.43 5.43 6.15 33 763.406 5.21 5.51 6.08 5.43 6.21 6.06 5.72 .420 5.30 5.50 6.00 5.48 6.05 5.99 5.75 .442 5.50 5.52 6.08 5.54 6.12 5.88 5.85 .455 5.58 5.66 6.18 5.66 6.21 6.12 5.81 .464 5.71 5.65 6.18 5.62 6.28 6.05 5.87 .483 5.74 5.85 6.06 5.62 6.22 6.22 6.00 .494 5.73 5.72 6.26 5.68 6.17 6.01 5.94 .504 5.79 5.76 6.12 5.79 6.30 6.27 6.00 .514 5.85 5.92 6.25 5.78 6.32 6.23 6.02 .525 5.77 6.07 6.15 5.84 6.26 6.13 5.98 34 118.355 5.08 - 6.01 5.72 6.01 6.26 6.16 .372 5.15 - 5.90 5.99 5.68 6.02 6.20 .388 5.34 - 5.94 5.99 5.34 6.18 6.14 .428 5.58 5.47 6.15 6.22 5.12 6.22 6.22 .443 5.71 5.08 5.98 6.06 5.24 6.27 6.17 .470 - 4.52 5.94 5.92 5.60 6.38 - .485 5.78 4.59 6.02 6.21 5.55 5.92 6.02 .499 5.76 4.61 6.09 5.87 5.82 5.99 6.16 .513 5.99 4.72 6.10 5.76 5.76 5.84 6.31 .526 - 4.88 6.00 5.68 5.60 5.32 5.78 .540 5.99 4.98 6.35 5.62 5.77 5.48 6.06 34 120.471 5.48 5.85 5.48 6.04 5.36 5.74 5.79 .484 5.62 - 5.57 6.05 5.35 5.75 5.81 .497 5.84 - 5.60 6.07 5.26 5.69 5.84 .510 5.76 5.26 5.66 6.02 5.29 5.53 5.96 .523 5.77 4.85 5.55 6.02 5.36 5.53 5.84 .536 5.64 4.53 5.64 6.13 5.33 5.48 5.75 34 120.551 5.94 4.63 5.91 6.08 5.53 5.38 5.77 .564 5.98 4.61 5.98 6.29 5.63 5.59 6.13 .579 6.00 4.74 5.83 6.06 5.66 5.55 6.00 34 121.401 4.81 5.72 6.10 5.10 6.26 5.89 6.22 .412 5.00 5.81 6.20 5.20 6.26 6.02 6.17 .422 5.08 5.56 6.10 5.18 6.24 5.82 6.30 .431 5.21 5.70 6.04 5.21 6.00 5.90 6.04 .441 5.29 5.81 6.08 5.32 6.16 5.88 - .484 5.68 5.91 6.09 5.30 5.73 6.06 5.34 .495 5.77 5.92 6.13 5.51 5.61 6.03 5.34 .505 5.67 5.78 5.98 5.51 5.59 6.12 5.25 .517 5.68 5.94 6.12 5.48 5.24 5.98 5.21 .528 5.66 5.71 5.92 5.60 5.30 5.97 5.27 .539 5.75 - 5.78 5.61 5.32 6.13 5.40 .552 5.88 4.83 5.61 5.68 5.27 6.03 5.30 .562 - 4.65 5.47 5.58 5.32 - 5.32 .594 5.77 - 5.31 5.63 5.66 6.20 5.72 .605 - - 5.49 5.71 5.52 - - 34 122.404 4.97 - 5.92 5.77 5.96 5.80 - .416 4.89 - 5.87 6.04 6.00 5.92 6.20 .431 4.90 5.63 6.06 5.76 6.19 5.58 6.22 34 126.433 6.00 5.55 5.78 5.28 6.06 5.55 6.23 34 131.415 - 4.67 6.48 5.62 5.41 6.60 6.04 34 487.347 6.12 5.62 5.80 5.23 5.65 5.78 5.88 .367 6.22 5.74 5.72 5.36 5.76 5.92 5.96 .385 6.40 5.99 5.74 5.30 5.96 5.79 6.16 .397 6.14 5.52 5.72 5.40 5.84 6.07 6.02 .410 6.42 5.74 5.90 5.60 5.96 5.90 6.26 .428 - - 5.99 5.59 6.02 5.78 6.15 .438 6.06 5.56 5.82 5.49 6.16 5.90 6.23 .449 6.09 5.70 5.98 5.67 6.29 6.03 6.33 .460 6.02 5.83 5.97 5.62 6.32 5.80 5.95 .474 5.88 5.87 5.92 5.68 6.01 6.05 6.24 .483 6.03 5.72 6.26 5.80 6.14 6.04 6.33 .494 - - - 5.73 5.81 5.88 6.29 .508 6.22 5.62 6.20 5.87 6.20 5.92 6.14 .518 - 5.82 6.12 5.84 6.04 6.00 6.10 34 488.530 6.08 5.56 5.59 6.02 6.34 5.52 6.11 .540 - 5.46 5.78 5.92 6.09 5.66 6.19 34 567.388 5.91 5.19 5.58 5.58 5.65 5.83 6.08 35 223.415 6.18 5.46 5.90 5.53 5.79 5.95 6.22 .428 5.97 5.18 5.86 5.56 5.86 6.05 6.13 .441 6.29 4.79 5.89 5.43 5.96 6.01 6.23 .467 6.02 4.67 5.90 5.55 5.95 6.10 5.88 .490 6.01 4.81 6.02 5.72 6.06 6.14 5.70 .503 6.02 4.91 5.93 5.69 6.02 6.11 5.69 35 223.517 6.04 4.96 6.08 5.77 6.20 6.04 5.58 .530 - 4.96 6.01 5.73 6.26 5.97 5.38 .546 6.06 5.08 6.11 5.85 6.28 6.11 5.38 .573 - 5.18 6.07 5.87 6.26 6.22 5.50 35 224.454 6.08 5.42 5.29 6.02 5.72 5.51 6.08 .472 6.09 4.75 5.30 5.99 5.88 5.50 6.06 .485 6.18 4.58 5.28 6.10 5.97 5.59 6.14 .499 6.21 4.50 5.38 6.01 5.97 5.73 6.19 .512 5.94 4.62 5.42 5.96 6.03 5.68 5.94 .524 6.06 4.70 5.38 5.90 6.14 5.62 6.06 .542 5.94 4.92 5.53 5.94 6.23 5.65 6.24 .556 6.14 5.04 5.60 6.12 6.12 5.77 6.16 .569 - - 5.71 6.29 6.35 6.03 6.20 .583 - 5.22 5.87 6.18 6.58 5.96 6.47 35 227.534 6.24 6.14 5.86 5.80 5.62 5.91 5.18 .547 6.12 5.82 5.85 5.56 5.70 6.14 5.46 .560 6.42 5.36 5.90 5.63 5.63 5.95 5.54 .573 - 4.97 6.15 5.25 5.58 - 5.46 .586 6.14 4.74 5.88 5.29 5.79 5.76 5.51 35 598.507 6.31 5.42 5.78 5.38 5.86 6.00 5.98 .524 6.24 5.54 6.04 5.46 5.88 6.02 5.99 .537 6.22 5.60 5.77 5.48 5.96 6.18 6.36 35 600.363 6.12 5.40 6.14 6.34 6.15 5.84 6.12 .378 5.75 4.83 5.75 6.05 6.05 5.66 6.16 .391 6.15 4.55 6.04 6.07 6.18 5.93 6.14 .405 6.05 4.69 6.07 5.84 6.16 5.82 6.16 .421 6.12 4.60 6.25 6.25 5.80 5.93 6.08 .434 6.12 4.92 5.95 6.19 5.42 5.99 6.25 .446 6.02 4.89 5.96 6.29 4.92 5.82 6.19 .501 6.04 5.21 6.27 5.61 5.18 5.92 - .525 6.16 5.33 6.22 5.63 5.23 6.03 5.84 35 603.369 5.78 - 6.01 5.30 6.22 6.05 5.96 .381 - - 6.08 5.28 6.34 5.94 5.80 .397 - 5.59 6.10 5.24 6.20 5.66 5.39 .408 5.88 5.52 6.21 5.17 6.26 5.59 5.15 .419 5.98 5.69 6.16 5.30 6.23 5.54 4.99 .431 6.08 5.96 6.22 5.43 6.20 5.54 5.08 .446 6.14 5.86 6.14 5.47 6.10 5.55 5.11 .457 6.13 5.57 6.10 5.42 6.25 5.37 5.18 .468 6.00 5.30 6.20 5.40 5.98 5.35 5.25 .491 6.10 4.68 6.32 5.52 6.18 5.45 5.42 .507 6.18 4.64 6.18 5.67 6.26 5.57 5.59 35 920.444 5.80 4.89 5.31 5.19 5.80 5.93 6.15 .467 5.85 4.82 5.40 5.11 5.90 5.67 6.22 .487 6.05 4.40 5.60 5.23 5.82 5.49 5.94 .504 5.81 4.69 5.62 5.26 6.01 5.53 6.05 35 920.547 5.87 5.06 5.70 5.52 6.00 5.45 5.20 .562 6.00 5.00 5.83 5.58 6.32 5.51 5.17 .585 6.08 5.08 5.84 5.66 6.12 5.51 5.12 35 933.415 5.88 4.82 5.52 5.91 5.69 6.12 6.02 .443 5.90 4.84 5.52 5.86 5.79 6.03 6.00 .479 5.84 5.08 5.84 5.95 5.84 6.06 6.00 .503 6.23 5.03 5.88 5.59 6.25 5.72 5.98 .515 5.97 4.97 5.93 6.03 5.87 5.68 6.05 .530 - 5.43 5.74 5.81 6.14 5.49 6.08 .543 - 4.83 5.76 5.71 5.94 5.39 - .573 4.64 5.02 5.74 5.93 6.28 5.64 6.45 .588 - 5.36 5.92 5.97 6.13 5.56 6.05 .602 4.83 - 5.91 5.61 6.15 5.89 6.02 36 991.457 5.97 5.40 5.12 5.66 5.87 5.93 6.05 .470 6.11 5.72 5.18 5.80 5.66 6.00 6.00 .485 - 5.53 5.29 5.87 6.08 6.28 5.97 37 018.470 5.24 5.67 6.08 5.84 5.51 5.78 6.00 .483 5.36 5.72 6.10 5.86 5.67 5.67 6.16 .496 5.55 5.49 5.70 5.93 5.73 5.75 6.10 .510 5.58 5.76 5.67 5.97 5.89 5.59 6.11 .523 5.45 5.72 5.54 6.00 5.84 5.59 5.96 .537 5.56 5.96 5.32 5.90 5.73 5.17 5.81 .550 5.77 5.62 5.26 5.86 5.83 5.37 6.07 .563 5.80 6.00 5.39 6.05 6.00 5.44 6.00 .577 5.90 5.79 5.35 6.05 5.95 5.35 5.38 .609 5.98 5.78 5.54 5.86 6.10 5.44 4.90 .623 - - 5.63 6.04 - 5.77 5.40 .637 6.26 - 5.71 - 6.03 5.65 5.21 37 057.539 6.01 4.69 5.84 5.95 5.51 6.19 5.81 .552 5.95 4.85 5.79 6.13 5.57 6.06 5.81 .578 6.42 5.40 5.89 6.04 5.45 6.16 6.01 37 058.529 5.81 4.71 5.97 5.50 5.24 5.81 5.56 .580 - 5.08 5.59 5.73 5.26 6.26 5.31 37 757.598 5.36 4.61 5.61 6.20 5.00 6.07 - 37 791.365 5.03 5.49 6.18 6.07 6.43 6.11 6.25 .380 5.11 5.61 6.07 5.96 6.26 5.98 6.07 .394 5.17 5.69 6.08 5.97 6.14 6.09 6.04 .424 5.14 5.82 5.99 5.95 5.70 6.17 6.26 .439 5.63 5.46 6.08 6.03 5.35 6.07 6.15 .454 5.40 6.06 6.19 6.06 4.95 5.99 6.22 .469 5.59 5.69 6.12 6.04 5.08 6.03 5.85 .483 5.40 5.63 6.26 6.15 4.95 6.13 5.06 .497 5.64 5.70 6.04 6.10 5.20 6.10 4.99 .519 5.77 5.77 6.21 6.14 5.18 6.24 5.00 .533 5.74 5.80 6.38 6.23 5.37 6.15 5.03 .549 6.04 5.60 6.18 6.06 5.53 5.95 5.33 .563 6.00 5.63 6.20 6.06 5.73 6.06 5.30 Table 9 (continued) J.D. 64 65 66 67 68 69 70 2 400 000 + 28 963.487 5.98 6.07 5.87 5.49 5.96 4.86 5.15 28 991.403 6.04 5.72 5.81 5.72 5.04 5.42 5.44 .416 6.15 5.81 5.78 5.67 5.14 5.78 5.78 .430 6.00 5.81 5.91 5.71 5.13 5.71 5.56 .522 5.85 6.13 5.45 5.66 5.40 5.52 5.22 .542 6.29 5.85 5.10 5.95 5.90 5.78 5.58 29 346.376 6.28 6.16 5.11 6.14 5.69 5.86 5.14 .392 6.12 5.90 5.26 6.01 5.75 5.73 5.26 29 719.549 5.80 6.16 5.85 5.94 5.97 5.97 5.47 .560 5.91 6.10 5.93 5.91 5.91 5.93 5.30 29 720.546 6.14 5.92 5.94 5.48 5.78 5.60 5.36 .558 6.17 5.88 5.80 5.64 5.80 5.57 5.32 29 774.405 6.36 5.41 5.71 5.49 5.80 5.93 5.55 .417 6.57 5.27 5.60 5.27 6.08 5.73 5.64 29 775.403 6.04 5.98 6.10 5.98 5.84 5.21 5.48 .415 6.09 6.02 5.97 6.04 5.91 5.33 5.47 .426 6.05 6.00 5.90 5.90 6.01 5.31 5.51 .437 6.10 5.90 5.80 6.10 6.02 5.42 5.44 .447 6.18 6.12 5.85 5.97 6.04 5.60 5.32 30 052.462 5.55 5.23 5.90 5.28 5.87 5.47 5.41 .474 5.46 5.11 6.04 5.46 5.85 5.06 5.34 .489 5.71 5.29 5.80 5.60 5.87 5.54 5.40 .501 5.51 5.18 6.01 5.64 5.97 5.73 5.38 30 078.418 5.90 6.22 5.92 6.18 6.05 6.03 5.43 .434 5.68 6.08 5.84 5.96 5.86 - 5.46 .470 5.43 5.75 5.88 5.62 6.03 5.35 5.62 .483 5.41 5.52 5.90 5.41 5.80 5.36 5.60 .498 5.38 5.30 5.74 5.12 5.49 5.27 5.64 .509 5.32 5.17 5.93 5.11 5.44 5.11 5.69 .521 5.53 5.12 5.99 5.06 5.36 5.32 5.74 .536 5.45 5.14 5.91 5.25 5.31 5.25 5.83 .548 5.51 5.13 5.89 5.23 5.38 5.29 5.75 33 390.497 5.87 5.87 5.49 6.50 5.49 6.07 5.59 .534 6.03 6.05 5.36 5.95 5.65 5.95 5.74 .545 5.95 5.95 5.54 6.00 5.69 5.75 5.69 .558 6.05 6.09 5.43 5.95 5.69 5.81 5.74 .570 5.83 5.89 5.40 5.87 5.69 5.80 5.69 .586 6.03 6.24 5.55 5.97 5.79 5.95 5.74 33 420.424 6.19 5.68 5.60 5.03 5.21 5.75 5.31 .438 6.26 5.98 5.95 5.16 5.34 5.85 5.46 .450 6.08 5.81 5.68 5.21 5.36 5.50 5.36 .476 6.30 5.64 5.56 5.26 5.26 5.74 5.26 .487 6.18 5.84 5.82 5.50 5.36 5.84 5.36 .498 6.14 5.68 5.75 5.43 5.39 5.79 5.28 .510 6.32 5.83 5.85 5.42 5.40 5.94 5.23 .523 6.27 5.94 5.54 5.54 5.31 5.76 5.16 33 421.385 5.74 6.02 6.00 5.96 5.76 5.43 5.24 .442 5.90 6.16 5.88 6.07 5.03 5.01 5.16 .454 6.02 6.20 5.79 6.17 5.05 5.02 5.20 .465 5.86 6.13 5.48 6.15 4.99 5.10 5.27 .475 6.24 6.30 5.37 6.12 5.05 5.07 5.25 .486 5.91 6.15 5.29 6.05 5.16 5.41 5.19 .497 6.04 6.09 5.08 6.26 5.23 5.39 5.41 .535 6.12 5.16 5.19 5.08 5.54 5.61 5.47 .548 6.12 5.06 5.23 4.96 5.53 5.60 5.60 33 422.398 5.57 5.71 - 6.12 6.02 5.94 5.27 .431 5.39 5.75 6.08 6.23 5.65 6.11 5.47 .442 - 5.76 5.76 6.07 5.54 5.86 5.54 .452 5.33 5.73 5.89 6.02 5.46 6.33 5.40 .462 5.50 5.87 6.05 6.15 5.40 6.09 5.40 .472 5.45 5.74 5.91 6.12 5.42 6.27 5.39 .483 5.54 5.78 5.95 6.19 5.43 6.04 5.29 .493 5.72 5.98 5.90 6.00 5.63 6.19 5.51 .508 5.51 5.97 6.08 6.36 5.39 5.71 5.46 .520 5.50 5.69 6.20 5.86 5.33 5.27 5.46 33 763.406 5.72 5.98 5.76 6.04 5.98 5.91 5.56 .420 5.72 5.93 5.69 5.99 6.04 - 5.45 .442 5.73 5.95 5.75 6.04 5.95 5.95 5.39 .455 5.79 6.03 5.81 6.01 5.94 6.21 5.44 .464 5.89 6.01 5.80 6.05 6.01 6.18 5.49 .483 5.96 6.08 5.83 6.00 5.92 6.12 5.27 .494 5.94 6.11 5.83 6.09 5.75 6.01 5.40 .504 5.93 6.04 5.99 6.02 5.56 5.93 5.35 .514 6.02 6.02 5.97 6.12 5.36 6.02 5.29 .525 5.98 5.98 5.96 5.98 5.19 5.91 5.30 34 118.355 6.18 5.89 6.06 5.37 6.46 - 5.48 .372 5.99 6.20 6.19 5.43 5.90 - 5.33 .388 6.18 6.10 5.91 5.20 5.99 5.00 5.17 .428 6.20 5.99 5.85 5.44 5.79 5.19 - .443 6.27 6.20 5.95 5.53 5.80 5.49 5.30 .470 6.36 6.12 - 5.77 5.89 - 5.22 .485 6.19 6.19 5.69 5.55 5.55 5.69 5.21 .499 6.16 6.26 5.82 5.63 5.52 6.09 5.20 .513 6.23 6.26 5.82 5.88 5.50 5.88 5.50 .526 5.82 5.82 5.51 5.93 5.42 - 5.40 .540 5.95 5.99 5.62 5.68 5.44 5.80 5.33 34 120.471 5.83 5.95 5.45 5.83 5.83 - 5.36 .484 5.72 6.12 5.52 5.93 6.00 - 5.45 .497 5.67 6.16 5.51 5.96 5.82 - 5.45 .510 5.42 6.43 5.51 6.06 5.70 - 5.53 .523 5.41 6.41 5.55 6.35 5.59 - 5.59 .536 5.33 6.18 5.57 6.13 5.24 - 5.64 34 120.551 5.23 6.20 5.52 5.96 5.07 5.66 5.66 .564 5.50 6.38 5.63 6.02 5.19 5.78 5.73 .579 5.40 6.18 5.78 5.66 5.19 - 5.52 34 121.401 6.05 5.27 5.76 5.95 5.56 - 5.16 .412 6.18 5.28 5.93 5.84 5.59 - 5.20 .422 6.08 5.38 5.82 5.98 5.69 - 5.23 .431 6.14 5.47 5.90 5.86 5.62 - 5.27 .441 6.08 5.46 5.88 5.90 5.54 6.00 5.50 .484 6.24 5.64 5.80 5.95 5.75 - 5.56 .495 6.23 5.72 5.88 6.01 5.74 - 5.58 .505 6.10 5.76 5.85 5.88 5.81 - 5.63 .517 6.12 5.80 5.88 5.98 5.80 - 5.68 .528 6.08 5.71 5.76 5.91 5.71 - 5.60 .539 6.07 5.84 5.82 5.90 5.75 - 5.72 .552 6.03 5.79 5.74 6.03 5.74 - 5.68 .562 6.08 5.75 - - 5.76 - 5.67 .594 6.20 5.94 6.01 5.97 5.55 - 5.74 .605 - - - - - - - 34 122.404 5.54 6.14 5.54 5.48 5.12 - 5.46 .416 5.65 5.96 5.47 5.40 5.13 - 5.47 .431 5.71 6.08 5.61 5.52 5.07 - 5.35 34 126.433 6.08 5.99 5.78 5.58 5.66 5.76 5.68 34 131.415 5.54 5.34 5.95 5.06 5.98 - 5.41 34 487.347 6.16 5.90 5.90 5.60 5.88 5.72 5.22 .367 5.94 6.00 5.92 5.76 5.84 5.84 5.36 .385 5.68 6.14 6.00 5.96 5.89 5.84 5.26 .397 5.66 5.82 5.96 5.70 5.70 5.68 5.12 .410 5.40 6.01 5.92 5.88 6.20 6.01 5.27 .428 5.40 6.00 5.82 5.89 5.81 5.89 5.34 .438 5.38 6.16 5.86 5.84 5.90 5.88 5.30 .449 5.41 6.41 6.00 5.93 5.87 5.85 5.35 .460 5.35 6.06 5.84 5.89 6.02 5.80 5.33 .474 5.50 6.25 5.68 5.91 5.85 5.85 5.25 .483 5.44 6.06 5.83 6.08 5.86 5.83 5.40 .494 5.40 6.20 - - - - 5.44 .508 5.45 5.82 5.62 5.89 5.84 - 5.47 .518 5.72 5.53 5.92 6.04 5.64 6.05 5.50 34 488.530 6.21 5.81 5.81 5.75 5.93 5.59 5.51 .540 6.16 6.01 5.78 5.76 5.82 - 5.68 34 567.388 5.54 5.91 5.89 5.13 5.36 5.70 5.74 35 223.415 6.03 5.04 5.56 5.91 5.26 5.82 5.16 .428 6.07 4.98 5.66 5.88 5.22 5.45 5.22 .441 6.09 5.09 5.74 5.89 5.22 5.70 5.25 .467 6.14 5.19 5.69 5.84 5.37 5.82 5.27 .490 6.16 5.24 5.78 5.87 5.45 - 5.47 .503 6.11 5.30 5.81 5.95 5.47 5.89 5.56 35 223.517 6.26 5.39 6.02 6.00 5.48 5.77 5.56 .530 6.26 5.45 5.82 6.01 5.51 5.65 5.61 .546 6.28 5.51 5.91 6.10 5.55 5.87 5.58 .573 6.26 5.62 6.05 6.05 5.78 - 5.58 35 224.454 5.86 6.08 5.34 5.60 5.04 5.35 5.46 .472 5.86 6.13 5.05 5.57 5.02 - 5.40 .485 5.88 6.02 5.02 5.64 5.13 5.59 5.56 .499 6.01 6.08 5.05 5.62 5.14 5.62 5.62 .512 5.91 5.94 5.08 5.78 5.27 5.63 5.56 .524 6.14 6.09 5.09 5.74 5.36 5.47 5.52 .542 6.24 6.01 5.14 5.65 5.77 5.72 5.74 .556 6.12 6.05 5.27 5.88 5.51 - 5.66 .569 6.03 5.91 5.36 5.79 5.61 - 5.71 .583 6.24 6.12 5.54 5.84 5.64 - 5.72 35 227.534 6.07 5.40 6.04 6.23 6.16 6.23 5.86 .547 5.95 5.40 5.43 6.30 6.08 - 5.76 .560 5.97 5.40 5.40 6.09 6.27 5.97 5.87 .573 5.91 5.56 5.16 6.12 6.09 - 5.54 .586 5.81 5.51 5.20 5.88 5.90 - 5.66 35 598.507 5.56 5.60 5.30 5.62 6.11 6.06 5.38 .524 5.81 5.61 5.54 5.67 6.04 5.92 5.49 .537 5.64 5.86 5.48 6.00 5.94 6.04 5.27 35 600.363 5.52 5.04 5.27 6.01 5.88 5.88 6.09 .378 5.66 5.04 5.40 5.82 5.55 5.70 5.38 .391 5.55 5.02 5.48 6.14 5.67 5.87 5.26 .405 5.77 5.03 5.42 5.86 5.58 6.03 5.29 .421 5.68 5.12 5.50 5.91 5.53 5.90 5.36 .434 5.86 5.32 5.56 5.88 5.51 5.79 5.25 .446 5.73 5.24 5.66 6.07 5.57 - 5.24 .501 6.27 5.56 5.88 6.04 5.88 5.95 5.20 .525 5.99 5.52 5.82 6.30 5.70 5.50 5.15 35 603.369 5.70 5.96 5.56 6.02 5.70 - 5.37 .381 5.69 5.94 5.37 5.92 5.78 - 5.37 .397 5.84 6.08 5.26 5.73 5.78 - 5.32 .408 5.73 6.04 5.20 5.37 5.75 - 5.27 .419 5.67 6.03 5.22 5.25 5.78 5.17 5.25 .431 5.77 6.12 5.35 5.07 5.84 5.28 5.25 .446 5.86 6.02 5.27 4.97 5.75 5.27 5.19 .457 5.94 6.15 5.40 5.06 5.94 5.32 5.26 .468 6.00 6.14 5.38 5.30 5.59 5.38 5.25 .491 5.89 6.00 5.50 5.32 5.68 5.45 5.29 .507 6.06 6.02 5.54 5.48 5.56 5.51 5.38 35 920.444 6.28 5.51 5.43 5.88 5.51 5.88 4.92 .467 5.97 5.24 5.60 5.94 5.60 5.80 5.36 .487 5.84 5.07 5.75 6.14 5.60 6.09 5.42 .504 5.57 4.94 5.50 5.81 5.66 6.01 5.26 35 920.547 5.20 5.07 5.52 5.20 5.52 5.97 5.33 .562 5.20 5.00 5.62 5.09 5.74 6.38 5.41 .585 5.26 5.17 5.60 4.96 5.63 5.95 5.30 35 993.415 5.72 5.82 5.24 5.69 5.80 5.82 5.30 .443 5.91 5.65 5.33 5.99 5.80 5.78 5.30 .479 5.89 5.72 5.36 5.77 5.80 5.77 5.11 .503 5.98 5.93 5.50 5.93 5.69 5.72 5.03 .515 5.99 5.85 5.57 6.01 5.65 5.68 5.21 .530 6.08 6.08 5.39 6.00 5.24 6.00 5.13 .543 5.98 5.98 5.44 - 5.14 - 4.94 .573 6.28 6.18 5.84 5.97 4.97 5.91 5.12 .588 - - 5.28 5.62 5.00 - 5.12 .602 - - 5.66 5.46 5.19 - 5.19 36 991.457 6.30 5.87 5.28 5.50 5.87 - 5.43 .470 6.16 5.81 5.46 5.55 5.83 5.66 5.41 .485 5.97 6.13 - 5.56 5.81 5.93 5.53 37 018.470 5.93 - 6.13 6.20 5.93 - 5.57 .483 6.14 6.24 5.99 6.14 5.81 6.24 5.44 .496 6.06 6.00 6.10 6.44 5.78 - 5.44 .510 6.12 5.90 5.88 6.05 5.88 5.68 5.46 .523 6.01 5.99 5.89 6.18 5.84 5.60 5.36 .537 5.84 5.54 5.66 5.88 5.66 5.42 5.31 .550 6.07 5.38 5.78 6.01 5.62 5.57 5.41 .563 - 5.39 6.10 5.98 5.98 5.91 - .577 6.18 5.08 5.90 5.55 5.73 6.06 5.43 .609 6.12 5.16 6.00 4.86 5.82 5.90 5.20 .623 - 5.27 6.06 5.07 5.94 5.67 5.35 .637 6.32 5.30 5.98 5.20 5.71 5.90 5.40 37 057.539 6.19 5.69 5.84 6.11 5.81 6.01 - .552 5.87 5.75 5.81 6.13 5.95 5.92 5.30 .578 5.67 5.92 5.92 6.04 6.14 5.61 5.50 37 058.529 6.12 6.01 5.60 5.65 5.45 5.73 5.45 .580 6.06 6.51 5.79 6.06 5.64 5.88 5.59 37 757.598 5.88 5.98 5.68 5.72 5.00 - 5.12 37 791.365 5.85 5.60 5.74 5.85 5.60 6.25 - .380 5.56 5.72 5.72 5.85 5.72 6.35 5.72 .394 5.55 5.77 5.67 5.95 5.67 6.08 5.57 .424 5.45 5.77 5.37 5.93 5.70 6.21 5.58 .439 5.42 5.82 5.40 5.98 5.68 - 5.48 .454 5.31 5.81 5.15 5.81 5.64 6.32 5.31 .469 5.52 5.84 5.32 5.84 5.61 5.88 5.39 .483 5.56 5.86 5.28 5.84 5.69 6.11 5.24 .497 5.64 5.93 5.33 5.71 5.55 6.01 5.24 .519 5.64 5.96 5.50 5.69 5.85 6.14 5.27 .533 5.60 5.98 5.37 5.50 5.74 6.20 5.19 .549 5.77 5.90 5.53 5.53 5.72 6.20 5.25 .563 5.76 6.20 5.60 5.46 5.89 5.63 5.23 Table 9 (continued) J.D. 71 72 73 74 75 76 77 2 400 000 + 28 963.487 5.75 4.65 5.81 5.57 5.26 6.39 5.26 28 991.403 5.63 5.63 5.81 4.74 5.14 6.27 4.85 .416 5.64 5.81 5.93 4.77 5.28 6.23 4.64 .430 5.75 5.73 5.84 4.80 5.25 6.42 4.50 .522 5.59 6.20 5.68 5.35 5.50 6.30 5.28 .542 5.58 6.38 5.47 5.54 5.57 6.26 - 29 346.376 5.86 6.18 5.74 5.72 5.35 4.51 5.81 .392 6.10 6.60 5.90 5.73 5.49 4.85 5.97 29 719.549 5.80 6.42 5.80 6.11 5.85 5.99 5.28 .560 5.77 6.37 5.82 6.06 5.79 6.00 5.16 29 720.546 5.51 5.54 6.04 6.09 5.89 6.22 5.67 .558 5.54 4.88 5.97 5.97 5.85 5.74 5.69 29 774.405 5.78 5.06 5.90 4.93 5.47 5.16 6.10 .417 5.82 5.24 5.88 4.90 5.35 5.54 5.82 29 775.403 5.56 5.79 5.86 4.84 5.48 5.43 5.91 .415 5.49 5.76 5.76 4.84 5.47 5.17 5.91 .426 5.59 5.88 5.74 5.00 5.74 5.38 5.74 .437 5.64 5.78 5.78 5.14 5.51 5.57 5.80 .447 5.83 6.00 5.80 5.09 5.60 5.83 5.69 30 052.462 5.90 6.20 5.80 5.08 5.55 - 5.90 .474 5.83 6.38 5.80 4.80 5.76 5.90 5.73 .489 6.09 6.21 6.09 4.94 5.84 5.80 4.89 .501 6.01 6.35 6.04 4.98 5.99 6.50 4.62 30 078.418 5.17 6.32 5.99 6.16 5.46 5.43 5.94 .434 5.16 6.23 5.94 6.01 5.33 4.98 5.96 .470 5.43 6.17 5.81 5.97 5.43 5.04 5.85 .483 5.45 6.22 5.92 6.20 5.43 4.98 5.90 .498 5.51 6.20 5.89 6.10 5.56 5.12 5.89 .509 5.44 6.17 5.90 6.11 5.57 5.68 6.12 .521 5.65 6.29 5.68 5.91 5.62 5.99 5.99 .536 5.56 6.20 5.73 5.28 5.63 5.56 5.93 .548 5.66 6.07 5.62 4.90 5.64 5.43 5.84 33 390.497 5.92 6.21 5.94 6.34 5.75 5.84 6.13 .534 6.08 6.41 6.10 6.30 5.90 4.80 5.21 .545 6.02 6.22 6.00 6.22 5.85 4.85 4.73 .558 6.07 6.11 5.89 6.22 6.07 4.88 4.65 .570 6.03 5.78 6.01 6.17 6.03 5.07 4.92 .586 6.24 5.03 6.05 6.24 5.97 5.12 5.00 33 420.424 5.52 6.03 5.78 6.00 5.95 6.35 4.82 .438 5.31 6.26 5.85 6.05 5.98 6.36 5.03 .450 5.03 6.13 5.78 6.19 6.06 6.23 5.18 .476 5.10 6.35 5.74 6.09 5.96 6.31 5.19 .487 5.19 6.18 5.90 6.18 5.86 6.10 5.30 .498 5.10 6.16 5.79 6.52 5.73 6.22 5.48 .510 5.32 6.26 5.88 6.34 5.57 6.37 5.25 .523 5.27 - 5.88 - 5.25 - 5.59 33 421.385 5.90 6.16 5.99 5.86 5.89 6.34 5.10 .442 5.94 6.48 5.92 6.03 5.66 - 5.64 .454 6.02 6.28 5.97 6.00 5.47 - 5.59 .465 5.92 6.17 6.05 6.09 5.42 5.90 5.38 .475 6.01 6.31 6.04 6.06 5.25 - 5.52 .486 - 6.30 6.20 6.17 5.27 - 5.73 .497 6.07 6.26 5.98 6.40 5.28 - - .535 5.08 6.27 5.92 6.29 5.44 - - .548 4.97 6.27 6.00 6.31 5.36 - - 33 422.398 6.02 6.34 5.71 6.20 5.40 6.34 6.07 .431 6.13 6.49 5.75 6.11 5.62 6.13 6.23 .442 6.08 6.30 5.79 6.20 5.54 6.18 5.96 .452 6.20 6.44 5.70 6.20 5.46 6.36 6.16 .462 5.99 6.36 5.60 6.56 5.37 6.50 6.13 .472 6.12 6.29 5.66 6.17 5.39 6.11 6.14 .483 6.24 6.29 5.64 6.42 5.43 5.98 - .493 6.08 5.66 5.98 6.10 5.57 6.07 6.17 .508 6.03 5.25 5.94 6.25 5.51 5.85 5.88 .520 6.12 4.79 5.61 6.03 5.50 6.18 5.75 33 763.406 5.98 6.21 5.98 5.99 5.92 5.09 6.04 .420 5.89 6.11 5.89 5.91 5.97 5.30 5.86 .442 5.88 6.20 5.88 5.88 5.81 5.52 5.82 .455 6.03 6.27 6.00 6.01 5.81 5.82 5.98 .464 6.03 6.38 6.05 6.01 5.76 5.93 6.10 .483 6.00 6.27 6.08 6.20 5.44 5.85 5.90 .494 5.88 6.35 5.96 6.09 5.40 5.85 5.55 .504 6.02 6.32 6.00 6.21 5.37 5.89 5.91 .514 6.10 6.23 6.02 6.19 5.36 - 5.47 .525 6.15 6.30 5.91 6.09 5.45 6.15 5.05 34 118.355 5.32 6.30 6.96 6.32 6.08 - - .372 5.33 6.25 6.00 6.19 5.60 - - .388 5.48 6.36 6.08 6.18 5.34 - - .428 5.41 6.28 5.69 6.25 5.26 6.58 5.78 .443 5.68 6.27 6.06 6.10 5.43 6.54 - .470 - 5.44 6.10 - 5.64 - 5.89 .485 5.78 4.82 5.92 5.98 5.48 6.36 6.01 .499 5.76 4.72 5.90 6.16 5.52 6.36 5.84 .513 5.82 4.84 6.10 6.36 5.76 6.63 5.90 .526 - 4.95 6.37 - 5.57 - - .540 5.92 5.11 6.09 5.99 5.48 - 6.17 34 120.471 5.36 5.95 5.95 6.02 5.89 - 4.61 .484 5.35 6.19 6.14 6.22 6.00 - 4.83 .497 5.16 6.07 6.00 6.03 6.09 - 4.93 .510 5.26 6.19 6.04 6.12 6.06 - 5.29 .523 5.15 6.26 6.02 5.69 5.94 - 5.19 .536 5.16 6.09 6.00 5.06 5.86 - 5.21 34 120.551 5.25 6.31 6.03 4.70 5.82 5.77 5.25 .564 5.28 6.13 6.18 4.74 5.86 5.37 5.34 .579 5.40 6.47 6.10 4.90 5.63 4.85 5.66 34 121.401 5.62 5.99 5.84 6.12 5.87 - 4.72 .412 5.79 6.11 5.86 6.26 5.98 - 4.88 .422 5.90 6.16 5.92 6.22 5.86 - 5.06 .431 5.66 6.16 5.78 6.10 5.86 - 5.12 .441 5.92 6.37 5.76 6.06 5.94 - 5.29 .484 5.91 6.20 5.70 6.26 5.86 - 5.43 .495 6.05 6.23 5.70 6.05 5.90 6.05 5.74 .505 5.98 6.30 5.76 5.83 5.83 - 5.56 .517 6.04 6.27 5.68 5.32 5.75 - 5.68 .528 5.97 6.24 5.71 4.87 5.57 - 5.60 .539 5.96 6.18 5.75 4.76 5.54 - - .552 5.72 6.18 5.79 4.86 5.44 - - .562 - - 5.63 4.90 5.32 - - .594 5.12 6.06 5.77 5.25 5.33 4.95 - .605 5.11 - 5.83 5.35 5.30 - - 34 122.404 - - - - 5.86 - - .416 5.65 6.29 5.84 6.00 5.94 - - .431 5.58 6.60 6.02 6.13 5.91 - - 34 126.433 5.94 6.02 5.89 5.47 5.92 6.36 4.62 34 131.415 - 6.04 6.14 5.06 6.10 - - 34 487.347 5.38 6.18 5.78 5.78 5.97 5.38 5.92 .367 5.52 6.46 5.92 5.78 5.96 5.07 - .385 5.54 6.30 5.91 5.91 5.91 5.16 6.14 .397 5.54 6.16 5.72 5.82 5.72 5.04 5.84 .410 5.96 - 5.90 6.18 5.92 5.19 6.01 .428 - 6.05 5.99 5.96 5.52 5.34 5.95 .438 5.82 5.33 5.91 6.14 5.40 5.25 5.46 .449 5.60 5.11 6.09 6.23 5.41 5.49 5.16 .460 5.66 4.86 5.89 6.22 5.37 5.42 4.70 .474 5.68 4.84 5.82 6.06 5.29 5.55 4.72 .483 5.82 4.93 5.94 6.09 5.29 5.72 4.83 .494 - 5.04 - - 5.44 5.57 4.83 .508 5.81 5.26 5.86 6.02 5.37 5.57 4.82 .518 5.78 5.30 5.95 6.05 5.55 5.90 5.10 34 488.530 5.70 6.06 5.75 6.28 5.87 5.77 - .540 5.66 5.97 5.88 6.14 5.85 - 5.48 34 567.388 5.63 5.80 5.96 5.85 5.87 6.21 4.74 35 223.415 5.95 6.10 5.90 5.82 5.46 5.46 5.07 .428 5.97 6.30 5.90 5.39 5.45 5.09 5.25 .441 6.05 6.23 5.81 5.07 5.63 4.72 5.50 .467 6.02 6.24 5.86 4.79 5.76 4.90 5.53 .490 5.90 6.17 5.84 5.04 5.88 5.10 5.66 .503 5.73 6.31 5.95 5.19 5.89 5.35 5.50 35 223.517 5.36 6.25 5.89 5.26 5.85 5.45 5.81 .530 5.11 6.19 5.87 5.26 5.97 5.38 5.63 .546 5.04 5.38 5.91 5.53 5.94 5.69 - .573 5.07 4.79 6.03 5.60 5.85 - - 35 224.454 6.02 5.49 5.95 4.88 5.98 4.99 5.54 .472 6.04 4.80 5.80 4.98 5.90 4.86 5.78 .485 6.04 4.88 6.08 5.13 6.08 5.08 6.04 .499 6.15 4.83 5.92 5.22 5.97 5.08 - .512 5.96 5.02 5.84 5.27 6.05 5.24 5.84 .524 5.74 5.14 5.67 5.40 5.90 5.28 5.85 .542 5.94 5.39 5.77 5.74 5.90 5.79 6.01 .556 6.12 5.36 5.88 5.72 5.53 5.79 - .569 - 5.48 5.85 5.68 5.48 5.74 - .583 - 5.70 5.80 5.80 5.57 6.14 - 35 227.534 5.83 6.21 5.72 5.86 5.62 5.46 5.33 .547 5.85 6.49 5.80 5.80 5.64 - 5.59 .560 - 6.06 5.97 6.09 6.06 - 5.54 .573 - 6.09 6.21 6.23 6.04 - 5.53 .586 5.68 6.46 5.96 6.03 5.81 - 5.96 35 598.507 5.60 5.30 5.86 5.00 5.78 6.50 6.11 .524 5.49 5.52 5.86 5.36 5.99 6.17 5.96 .537 5.09 5.39 5.62 5.32 5.98 6.42 5.98 35 600.363 5.84 5.61 5.88 6.15 5.82 5.52 5.92 .378 5.75 5.50 5.72 5.92 5.72 5.80 6.09 .391 5.93 5.71 5.71 6.16 5.87 6.09 6.13 .405 5.80 6.09 5.88 5.68 5.82 5.78 6.07 .421 5.93 5.93 5.80 5.17 6.06 5.73 5.60 .434 6.10 6.01 5.77 4.90 5.83 6.19 5.05 .446 5.75 5.89 5.62 4.80 5.87 - 4.77 .501 6.12 6.27 5.64 5.31 5.61 6.50 5.05 .525 6.16 6.05 5.72 5.38 5.54 6.28 5.10 35 603.369 5.96 6.07 5.88 5.18 5.32 - - .381 - 6.34 5.94 4.90 5.37 5.92 5.55 .397 - 6.16 5.99 4.73 5.34 - 5.73 .408 5.97 6.31 6.02 4.86 5.41 5.97 6.12 .419 6.14 6.42 6.01 5.05 5.33 - 5.94 .431 5.87 6.26 6.00 5.08 5.46 6.06 6.20 .446 5.68 5.94 5.82 5.17 5.43 5.79 6.17 .457 5.59 5.29 5.89 5.29 5.50 6.40 6.17 .468 5.28 4.96 6.09 5.30 5.51 6.40 6.14 .491 5.08 4.96 5.94 5.48 5.60 6.34 6.18 .507 5.31 5.01 5.94 5.67 5.84 6.24 6.12 35 920.444 5.42 4.54 5.56 5.27 5.80 - 6.08 .467 5.50 4.64 5.64 5.60 5.94 5.85 6.14 .487 5.93 5.20 5.91 5.75 5.84 5.65 6.06 .504 5.91 5.26 5.84 5.73 5.81 6.24 6.12 35 920.547 6.13 5.49 5.91 5.69 5.37 6.39 5.93 .562 5.83 5.62 5.98 5.74 5.27 6.56 5.92 .585 6.12 5.89 5.89 5.80 5.17 6.62 5.70 35 933.415 5.84 6.19 5.88 6.30 5.77 5.08 6.19 .443 5.70 6.30 5.96 5.97 5.30 5.06 5.54 .479 4.97 6.23 5.84 5.93 5.22 5.26 4.58 .503 4.94 5.95 5.86 6.05 5.27 5.83 4.56 .515 5.39 6.37 6.16 6.01 5.18 5.91 4.70 .530 - 6.22 5.98 5.98 5.30 5.89 4.70 .543 - - 5.68 - 5.44 - - .573 5.06 - 6.12 5.84 5.64 5.81 5.27 .588 - - 5.83 - 5.62 - - .602 4.80 - 6.00 - 5.68 - - 36 991.457 5.61 5.70 5.75 6.15 6.13 5.92 5.50 .470 5.39 5.80 5.80 6.29 - 6.19 5.39 .485 - 6.03 5.71 6.04 5.97 - 5.71 37 018.470 5.46 - 6.05 5.84 5.98 - 4.74 .483 5.56 6.34 5.98 5.94 6.10 6.14 4.85 .496 5.54 6.39 6.00 6.10 5.98 5.93 4.62 .510 5.40 6.22 5.89 5.96 5.96 - 5.12 .523 5.59 6.31 5.98 5.99 - 6.14 5.11 .537 - 6.38 5.80 6.16 5.59 6.38 5.20 .550 5.64 6.03 5.95 6.00 5.77 5.76 5.55 .563 5.58 6.07 5.94 6.20 5.39 5.91 5.54 .577 5.88 6.18 5.78 6.20 5.55 5.89 5.74 .609 5.92 6.12 5.94 6.22 5.54 5.79 5.84 .623 5.82 6.06 5.96 6.24 5.52 - 5.82 .637 5.66 6.17 6.17 6.22 5.71 - 5.74 37 057.539 5.88 5.69 6.13 6.21 5.47 - 5.10 .552 5.79 5.65 5.87 6.31 5.47 6.07 5.01 .578 6.04 5.89 6.16 6.25 5.44 - 5.44 37 058.529 5.45 6.12 5.73 6.25 5.45 6.29 5.56 .580 - 6.11 5.36 6.35 - 6.63 - 37 757.598 - 5.74 5.74 5.20 5.36 - 5.30 37 791.365 - 5.60 5.78 5.92 5.69 6.58 6.35 .380 5.96 5.81 5.81 5.89 5.79 6.42 6.19 .394 5.83 5.77 5.69 5.97 5.81 6.52 6.04 .424 5.59 6.03 5.86 6.03 5.89 5.56 6.05 .439 5.45 5.98 5.87 5.88 5.88 5.12 6.10 .454 5.00 5.97 5.78 5.11 5.78 5.06 6.19 .469 5.25 6.16 5.94 4.73 5.84 5.08 6.25 .483 5.02 6.13 5.81 4.81 5.69 5.20 6.06 .497 5.04 6.28 5.92 4.77 5.61 5.44 5.79 .519 5.27 6.42 5.98 5.05 5.58 5.53 4.81 .533 5.23 6.28 6.04 5.11 5.26 5.71 4.61 .549 5.50 6.37 5.92 5.30 5.40 5.66 4.68 .563 5.50 6.39 5.98 5.40 5.43 5.86 4.83 Table 9 (continued) J.D. 78 79 80 81 82 83 84 2 400 000 + 28 963.487 5.15 6.10 5.30 5.53 5.64 5.10 5.93 28 991.403 5.44 6.18 6.12 5.83 5.99 6.27 6.04 .416 5.25 6.02 6.20 5.34 6.24 6.13 5.91 .430 4.80 6.17 6.09 4.87 6.09 6.30 5.91 .522 4.44 5.47 4.97 5.47 6.23 5.22 6.00 .542 4.44 5.21 4.98 5.60 6.11 4.98 5.94 29 346.376 4.76 5.42 5.45 6.33 5.35 6.16 5.79 .392 4.77 5.49 5.57 6.28 5.93 5.21 5.85 29 719.549 5.58 5.55 5.14 5.44 6.16 5.99 6.09 .560 5.61 5.58 5.23 5.50 6.14 6.09 6.04 29 720.546 5.30 5.75 6.16 5.09 6.40 5.98 5.98 .558 5.26 5.85 6.11 5.06 6.21 6.03 5.88 29 774.405 5.49 6.50 5.68 6.53 5.49 6.47 6.03 .417 5.54 6.27 5.54 6.43 5.73 6.24 5.88 29 775.403 4.94 6.29 6.38 6.16 5.48 6.19 6.27 .415 4.97 6.21 6.21 6.21 5.42 6.30 6.19 .426 5.25 6.21 6.17 6.44 5.48 6.13 6.17 .437 5.20 6.32 5.98 6.05 5.75 6.10 6.07 .447 4.79 6.38 6.14 6.38 5.69 5.83 6.10 30 052.462 5.90 6.24 6.03 5.79 5.90 6.44 5.92 .474 5.57 5.67 6.02 5.90 6.07 6.38 6.09 .489 5.71 5.11 6.35 6.15 6.21 6.34 6.09 .501 5.80 4.95 6.35 6.10 6.15 6.29 6.01 30 078.418 5.26 6.59 6.37 6.03 6.29 6.09 5.79 .434 5.36 6.42 6.25 5.94 6.15 5.94 5.63 .470 5.26 6.43 6.19 6.05 5.08 6.09 5.73 .483 5.39 6.43 6.12 6.33 4.92 6.14 5.80 .498 5.39 6.09 6.13 6.13 4.93 6.13 5.81 .509 5.63 6.27 5.86 6.14 5.01 6.14 5.80 .521 5.53 6.26 6.03 6.12 5.16 6.18 5.99 .536 5.36 6.32 5.94 6.12 5.34 6.18 5.91 .548 5.43 6.49 5.91 6.18 5.49 6.14 5.98 33 390.497 5.67 5.84 5.38 5.13 6.07 4.90 5.59 .534 5.53 6.00 5.47 5.42 6.12 5.31 5.25 .545 5.42 6.00 5.39 5.45 6.22 5.39 5.23 .558 5.35 6.07 5.40 5.48 6.45 5.48 5.33 .570 5.25 6.03 5.47 5.69 6.05 5.50 5.40 .586 5.18 6.21 5.74 5.84 6.40 5.55 5.51 33 420.424 6.10 5.55 6.13 6.23 6.13 6.41 5.52 .438 5.83 5.90 6.15 6.36 6.36 6.15 5.73 .450 5.60 5.95 6.18 6.34 6.27 6.16 5.75 .476 5.77 6.15 6.09 6.18 6.31 6.56 5.87 .487 5.78 6.07 6.48 6.37 6.18 6.18 5.74 .498 5.79 5.96 6.00 6.08 6.55 6.55 5.71 .510 5.64 6.05 6.12 6.12 6.30 6.22 5.74 .523 - 6.15 5.99 6.23 - - 5.83 33 421.385 5.55 5.50 5.89 6.06 6.06 6.34 6.14 .442 5.56 5.97 6.05 6.27 6.20 6.24 6.13 .454 5.45 5.99 5.97 6.16 6.40 6.15 5.97 .465 5.40 6.05 6.00 6.23 6.29 6.13 5.82 .475 5.41 6.24 6.10 6.26 6.28 6.26 5.54 .486 5.03 6.27 6.22 6.22 6.22 6.34 5.41 .497 5.54 6.38 6.07 6.17 6.30 6.30 5.37 .535 5.90 6.12 6.35 6.45 6.60 5.35 5.14 .548 5.72 6.18 5.98 6.12 6.27 4.99 5.20 33 422.398 5.40 5.94 5.81 6.12 5.79 6.24 6.12 .431 5.00 6.29 5.91 6.08 6.05 6.20 6.08 .442 5.05 6.05 5.88 5.91 6.01 6.03 5.96 .452 5.09 6.41 6.02 6.06 6.29 6.20 6.16 .462 4.85 6.15 5.83 6.13 5.99 6.33 5.87 .472 4.96 6.12 5.83 5.93 6.49 6.32 6.06 .483 4.91 6.61 6.19 6.27 6.40 6.42 6.06 .493 5.11 6.35 6.05 6.35 6.46 6.29 6.23 .508 4.95 6.27 6.27 6.44 6.17 6.44 5.97 .520 5.08 5.91 5.83 6.05 6.61 6.08 5.89 33 763.406 5.29 6.29 6.20 6.29 6.00 4.81 5.92 .420 5.21 6.37 6.10 6.19 6.17 4.93 5.71 .442 5.36 5.63 6.14 6.14 6.02 5.12 5.37 .455 5.42 5.08 6.12 5.85 6.39 5.23 5.37 .464 5.49 4.85 6.15 5.44 6.20 5.32 5.29 .483 5.51 4.74 6.22 5.03 6.20 5.40 5.27 .494 5.36 4.85 6.26 4.90 6.13 5.55 5.31 .504 5.34 5.01 6.27 5.04 6.41 5.61 5.40 .514 5.49 5.02 6.36 5.05 6.42 5.68 5.36 .525 5.51 5.17 6.30 5.17 6.15 5.77 5.45 34 118.355 - 6.01 6.13 6.32 5.37 5.42 6.26 .372 - 5.84 6.10 6.12 5.81 5.53 6.02 .388 - 6.14 6.18 6.24 5.48 5.48 6.12 .428 5.08 6.15 5.82 6.22 5.82 5.85 6.08 .443 5.27 6.27 5.97 6.27 5.83 5.71 6.06 .470 5.58 - 5.89 - 5.69 6.06 5.64 .485 5.40 6.21 5.59 5.95 6.02 5.92 5.55 .499 5.29 6.49 5.55 5.42 6.03 6.16 5.40 .513 5.46 6.60 5.46 5.08 6.10 6.23 6.33 .526 5.48 5.82 5.54 5.16 5.86 5.95 5.19 .540 5.58 6.22 5.55 4.94 6.22 6.17 5.08 34 120.471 5.48 6.39 5.99 6.23 5.58 6.09 5.81 .484 - 6.44 6.00 6.32 5.66 5.98 5.77 .497 5.54 6.20 6.04 6.21 5.73 6.09 5.73 .510 5.58 6.48 6.19 6.28 5.63 6.12 5.98 .523 5.62 6.20 6.02 6.16 5.85 6.20 5.82 .536 5.51 6.15 6.00 6.02 5.84 6.20 5.72 34 120.551 5.49 6.27 5.96 6.29 5.82 6.18 5.84 .564 5.55 6.48 6.07 6.27 6.07 6.27 6.11 .579 - 6.65 5.96 6.22 6.00 6.45 5.96 34 121.401 4.99 6.56 5.95 6.12 5.32 5.56 5.95 .412 5.18 6.37 5.98 6.36 5.09 5.66 6.37 .422 5.18 6.39 5.97 6.38 5.02 5.74 6.10 .431 5.32 6.15 5.96 6.15 5.00 5.78 5.99 .441 5.41 6.37 5.88 6.31 5.00 5.94 5.88 .484 5.30 6.24 5.95 6.09 5.26 5.89 5.37 .495 5.40 6.36 6.05 6.21 5.51 6.00 5.26 .505 5.32 6.20 6.07 6.13 5.56 5.97 5.35 .517 5.44 6.20 5.98 6.22 5.58 6.16 5.24 .528 5.42 6.22 5.97 6.16 5.69 5.99 5.27 .539 - 6.25 6.11 6.16 5.75 6.14 5.46 .552 - 6.22 6.10 6.25 5.78 6.20 5.39 .562 - - 6.04 6.18 5.65 - 5.46 .594 - 5.28 6.18 6.20 5.71 6.32 5.53 .605 - 4.90 5.88 - 6.00 - 5.56 34 122.404 - - 5.76 5.97 6.38 5.64 - .416 5.54 6.30 5.87 6.00 6.25 5.68 5.91 .431 5.61 6.35 5.80 5.98 6.02 5.71 6.08 34 126.433 5.58 5.13 6.04 5.52 6.21 5.55 5.78 34 131.415 5.83 5.92 5.83 - 5.24 5.50 5.96 34 487.347 5.32 5.97 4.93 5.08 6.34 5.84 5.52 .367 5.36 6.18 5.07 5.40 - 5.69 5.60 .385 5.54 6.16 5.19 5.44 6.30 5.91 5.57 .397 5.50 5.94 5.17 5.48 6.12 5.84 5.56 .410 5.46 6.36 5.40 5.60 6.19 5.96 6.00 .428 - 6.11 5.45 5.74 6.15 6.42 5.72 .438 5.54 6.16 5.46 5.64 6.10 6.13 5.66 .449 5.70 6.23 5.53 5.91 6.36 6.35 5.93 .460 5.64 5.84 5.52 5.66 - 6.24 5.84 .474 5.70 5.48 5.58 5.70 - 6.38 5.83 .483 5.42 5.37 5.54 5.72 - 6.30 5.66 .494 5.84 5.07 5.71 5.84 - 6.18 5.84 .508 5.62 5.02 5.86 6.04 5.71 6.20 5.97 .518 5.60 5.04 5.75 5.90 5.30 - 5.95 34 488.530 5.10 5.49 5.68 5.91 6.28 6.28 5.42 .540 5.37 5.51 5.68 5.92 6.24 6.18 5.51 34 567.388 5.04 5.83 5.96 6.00 5.58 5.54 5.87 35 223.415 5.09 6.39 5.92 5.62 5.16 6.31 5.95 .428 5.11 6.26 5.84 5.79 4.93 6.22 5.92 .441 5.30 6.34 5.77 5.81 5.04 6.21 5.94 .467 5.17 6.39 5.19 5.84 5.14 6.22 6.04 .490 5.24 6.21 5.29 6.04 5.47 6.28 6.08 .503 5.17 6.32 5.33 5.97 5.45 6.11 6.11 35 223.517 5.31 6.26 5.32 6.02 5.58 5.72 6.04 .530 5.26 6.11 5.45 6.13 5.60 5.16 5.97 .546 5.31 6.13 5.51 6.26 5.69 4.91 5.77 .573 5.32 5.45 5.69 - 5.75 5.10 5.43 35 224.454 5.44 6.28 6.02 5.42 5.37 6.41 5.88 .472 5.52 6.38 6.01 5.52 4.88 6.25 5.86 .485 5.56 6.26 5.83 5.62 4.95 6.24 6.10 .499 5.27 6.26 5.80 5.70 5.00 6.58 5.97 .512 5.24 6.14 5.70 5.70 5.08 6.03 6.02 .524 5.24 5.90 5.42 5.79 5.11 5.60 6.09 .542 5.02 5.32 5.22 6.03 5.24 5.02 5.86 .556 4.98 5.14 5.30 5.95 5.34 4.88 6.05 .569 4.89 5.10 5.36 5.94 5.61 5.04 5.96 .583 5.09 5.22 5.38 6.16 5.70 5.25 6.12 35 227.534 5.80 5.29 6.45 5.09 6.28 5.35 6.36 .547 5.67 5.56 5.95 5.04 6.24 4.99 5.88 .560 5.60 5.67 6.09 4.93 - 4.90 6.24 .573 5.28 5.74 6.02 5.05 6.30 5.00 6.45 .586 5.18 5.81 6.03 5.37 6.30 5.07 6.05 35 598.507 5.35 6.40 6.47 5.30 5.30 5.04 5.72 .524 5.20 6.26 6.27 5.54 5.52 5.10 6.02 .537 5.14 6.34 6.24 5.36 5.29 5.22 5.96 35 600.363 5.38 6.19 4.83 6.23 6.30 - 6.11 .378 5.20 6.41 5.02 - 6.32 6.27 5.99 .391 5.24 6.16 5.15 5.99 6.26 6.01 6.05 .405 5.27 6.01 5.34 6.50 6.16 6.07 5.96 .421 5.36 6.08 5.50 6.00 6.10 6.27 6.06 .434 5.43 6.60 5.35 6.46 6.31 6.35 6.15 .446 5.48 6.00 5.53 6.05 6.22 6.05 5.89 .501 5.51 6.38 5.90 6.39 6.38 4.94 6.10 .525 5.48 6.16 6.01 6.07 5.66 5.20 5.86 35 603.369 - 6.15 6.32 5.86 6.13 6.32 6.02 .381 5.19 6.25 6.18 5.98 6.00 6.20 6.00 .397 5.10 6.35 6.57 5.95 6.22 6.28 5.96 .408 5.01 6.28 6.29 5.95 6.02 6.25 6.04 .419 5.15 6.36 6.19 6.11 6.25 6.23 6.11 .431 5.52 6.40 6.24 6.10 6.10 6.31 6.02 .446 5.63 6.12 6.20 6.17 6.27 6.17 6.02 .457 5.37 6.15 6.22 6.22 6.23 6.24 6.15 .468 5.28 5.40 6.22 6.41 6.27 5.43 6.18 .491 5.29 4.96 5.96 6.12 6.38 4.96 5.98 .507 5.50 4.91 6.12 6.24 6.16 4.88 6.00 35 920.444 5.57 6.22 5.97 6.06 6.62 6.06 5.89 .467 5.70 6.38 6.22 6.22 6.33 5.97 5.97 .487 5.62 5.92 5.93 5.80 5.58 5.92 5.91 .504 5.91 6.14 6.01 6.14 5.02 6.03 5.93 35 920.547 5.69 4.66 5.53 6.13 5.10 6.29 5.65 .562 5.77 4.69 5.34 6.12 5.17 6.38 5.38 .585 5.86 4.84 5.30 6.16 5.40 6.12 5.26 35 933.415 5.64 6.41 5.93 5.15 6.21 5.48 5.88 .443 5.90 6.15 5.71 5.22 6.41 5.86 5.78 .479 5.56 6.10 5.50 5.56 6.23 5.84 5.82 .503 - 6.32 5.24 5.56 5.93 5.93 5.98 .515 - 6.05 5.29 5.57 6.22 6.03 6.05 .530 5.58 6.08 5.27 5.98 5.89 6.29 6.03 .543 - - 5.22 6.30 - 6.15 5.60 .573 6.00 5.60 5.53 6.10 6.18 6.26 6.28 .588 - 4.88 5.58 5.68 5.94 - 5.92 .602 - 4.68 5.57 6.17 5.08 - 5.80 36 991.457 5.03 6.16 5.10 6.21 6.20 4.76 5.98 .470 5.81 6.09 5.12 6.19 6.46 4.67 6.29 .485 5.51 6.08 5.35 - - 4.99 6.01 37 018.470 5.93 6.21 5.50 6.48 5.80 6.34 6.26 .483 5.44 6.09 5.99 6.18 5.81 6.24 5.51 .496 5.68 5.93 5.86 6.18 5.83 5.72 5.55 .510 5.56 6.29 5.79 6.50 5.87 5.18 5.50 .523 5.42 6.18 6.12 6.06 5.93 4.90 5.29 .537 5.37 5.96 5.80 - 6.05 4.87 5.16 .550 5.62 6.26 6.11 5.94 6.03 5.13 5.32 .563 5.56 6.41 6.00 5.80 5.93 5.20 5.43 .577 5.84 6.22 6.09 5.22 6.14 5.36 5.50 .609 5.74 6.17 6.13 5.09 6.32 5.34 5.60 .623 5.82 6.04 - 5.07 6.42 5.46 5.60 .637 5.58 5.87 - 5.20 6.26 5.58 5.71 37 057.539 5.47 6.40 6.15 6.33 6.13 6.15 6.11 .552 5.67 6.19 6.10 6.19 6.10 6.34 6.01 .578 5.67 6.31 6.25 6.27 6.09 6.23 6.07 37 058.529 4.78 6.33 6.19 6.16 6.43 6.29 5.60 .580 5.64 6.54 - 6.51 6.48 6.20 5.79 37 757.598 - - 6.25 - 6.17 6.08 5.88 37 791.365 6.14 6.32 6.21 6.25 6.03 6.25 5.64 .380 6.10 6.19 6.19 6.19 6.16 6.23 5.79 .394 6.02 6.21 6.34 6.29 6.21 6.37 5.73 .424 5.74 6.10 6.33 6.30 6.14 5.96 5.95 .439 5.77 5.98 6.29 6.10 5.55 5.28 5.97 .454 5.68 5.47 6.25 6.22 5.00 4.85 5.81 .469 5.81 5.32 6.25 6.23 4.99 4.95 5.91 .483 5.56 5.20 6.19 6.35 4.92 5.09 5.90 .497 5.83 5.20 6.00 6.12 5.13 5.20 5.90 .519 5.96 5.41 6.19 6.27 5.36 5.36 6.04 .533 5.80 5.47 6.18 6.32 5.40 5.47 6.02 .549 5.60 5.62 5.90 6.34 5.50 5.50 6.04 .563 5.43 5.70 5.57 6.41 5.46 5.63 6.16 Table 9 (continued) J.D. 85 86 87 88 89 90 91 2 400 000 + 28 963.487 5.67 5.26 5.15 5.78 5.64 5.96 6.22 28 991.403 5.38 5.78 5.10 5.04 5.35 5.86 5.81 .416 5.42 6.06 5.08 4.93 5.30 5.98 6.02 .430 5.25 5.87 5.00 5.00 5.36 6.10 5.94 .522 5.34 5.50 4.98 5.08 5.32 6.02 6.12 .542 5.30 5.22 5.14 5.33 5.84 6.14 6.29 29 346.376 5.91 5.74 4.99 4.96 5.72 4.87 4.90 .392 5.90 6.10 5.23 5.38 5.81 4.99 5.23 29 719.549 5.76 - 5.18 5.47 5.97 6.02 6.28 .560 5.64 - 5.19 5.64 5.77 6.24 6.14 29 720.546 5.42 5.51 5.51 5.73 5.87 6.20 6.18 .558 5.32 5.44 5.44 5.34 5.76 6.00 6.21 29 774.405 5.93 5.38 5.38 5.38 5.84 6.19 5.68 .417 6.00 5.51 5.54 5.45 5.98 6.00 5.88 29 775.403 5.95 5.63 5.29 5.43 5.93 6.10 5.61 .415 5.73 5.94 5.25 5.62 6.02 6.19 5.68 .426 5.81 5.76 5.38 5.51 5.83 6.15 5.70 .437 5.76 5.93 5.51 5.85 5.98 6.29 5.93 .447 5.78 6.04 5.60 6.16 5.69 6.16 5.75 30 052.462 5.41 5.53 5.39 - 6.09 6.15 6.24 .474 5.49 5.37 5.26 5.40 6.02 6.11 6.25 .489 5.45 5.60 5.48 5.42 6.11 6.25 6.07 .501 5.45 5.75 5.64 5.40 5.85 6.15 6.17 30 078.418 5.41 5.95 5.35 5.76 5.35 6.20 6.16 .434 5.33 5.79 5.20 5.79 5.23 6.06 6.18 .470 5.32 5.52 5.29 5.18 5.54 5.81 6.24 .483 5.45 5.48 5.25 4.98 5.45 5.45 6.08 .498 5.38 5.47 5.27 5.12 5.51 5.07 5.97 .509 5.23 5.41 5.32 5.29 5.71 4.80 5.95 .521 5.45 5.62 5.42 - 5.72 4.91 5.91 .536 5.56 5.53 5.38 5.22 5.76 5.11 5.31 .548 5.49 5.64 5.31 5.10 5.80 5.13 4.94 33 390.497 5.31 5.36 5.66 5.22 5.90 6.34 5.57 .534 5.45 5.47 5.33 - 5.90 6.30 5.62 .545 5.51 5.51 5.25 5.22 5.98 6.22 5.85 .558 5.45 5.48 5.21 5.31 5.45 6.22 5.77 .570 5.69 5.60 5.24 5.28 5.24 6.17 5.71 .586 5.79 5.88 5.28 5.34 5.00 5.97 5.97 33 420.424 5.43 5.68 5.66 5.37 5.80 6.29 6.00 .438 5.83 5.90 5.58 5.46 5.98 6.32 6.24 .450 5.80 5.81 5.65 5.44 5.89 6.28 6.27 .476 5.74 5.82 5.62 5.69 5.74 6.09 6.27 .487 5.84 6.15 5.68 5.55 5.84 6.11 6.05 .498 5.79 5.81 5.48 5.56 5.96 6.34 6.12 .510 5.83 5.99 5.38 5.66 6.05 6.22 6.14 .523 5.94 - 5.16 5.27 5.78 - - 33 421.385 5.31 6.00 5.26 5.60 5.26 6.02 6.06 .442 5.35 5.97 5.56 5.38 5.59 6.11 5.99 .454 5.27 5.80 5.47 5.38 5.47 6.04 - .465 5.27 5.68 5.48 5.23 5.42 6.25 6.29 .475 5.34 5.58 5.54 5.10 5.54 6.13 6.28 .486 5.34 5.44 5.59 5.07 5.65 6.34 6.12 .497 5.53 5.21 5.56 5.10 5.75 6.32 6.30 .535 5.61 5.44 5.82 5.06 5.92 6.58 6.24 .548 5.63 5.39 5.41 - 5.86 6.24 6.18 33 422.398 5.79 5.57 5.24 5.03 5.00 6.32 5.99 .431 5.44 - 5.42 5.00 5.07 6.41 6.08 .442 5.65 5.73 5.32 5.15 5.15 6.03 5.96 .452 5.46 5.73 5.36 5.03 5.06 6.41 6.16 .462 5.35 5.65 5.25 - 5.22 6.30 5.89 .472 5.28 5.88 5.39 5.09 5.19 6.29 6.29 .483 5.29 5.64 5.46 5.02 5.29 6.24 6.12 .493 5.47 5.82 5.51 5.08 5.41 6.20 6.46 .508 5.36 6.03 5.39 5.13 5.25 6.06 6.17 .520 5.30 5.89 5.46 5.27 5.43 6.55 6.12 33 763.406 5.45 5.63 5.27 5.26 5.84 4.93 6.29 .420 5.45 5.66 5.27 5.42 5.78 4.95 6.25 .442 5.60 5.70 5.28 5.63 5.81 5.07 6.19 .455 5.62 5.77 5.34 5.71 6.05 5.27 6.18 .464 5.76 5.84 5.44 5.77 5.91 5.35 6.20 .483 5.80 6.00 5.37 5.62 6.05 5.62 6.23 .494 5.81 5.96 5.40 5.50 5.88 5.52 6.31 .504 5.91 6.08 5.42 5.67 5.89 5.64 6.34 .514 5.97 6.16 5.55 5.66 5.85 5.63 6.12 .525 5.91 6.09 5.61 5.74 5.53 5.61 6.17 34 118.355 5.82 5.34 5.48 - - - 5.54 .372 5.43 5.26 5.36 - - - - .388 5.24 5.48 5.20 - 5.34 6.20 5.50 .428 5.12 5.58 5.12 5.76 4.84 6.31 5.72 .443 5.30 5.80 5.60 5.62 4.88 6.12 5.80 .470 - - 5.49 5.06 5.19 6.26 5.69 .485 5.25 5.98 5.36 5.13 5.00 6.04 6.09 .499 5.33 6.16 5.40 5.12 5.20 6.16 5.99 .513 5.46 5.99 5.60 5.19 5.16 6.29 6.07 .526 5.32 - 5.60 5.22 5.22 6.28 6.00 .540 5.58 6.09 5.51 5.51 5.37 6.22 6.22 34 120.471 5.74 5.79 5.22 5.58 5.87 6.20 5.56 .484 5.66 5.77 5.30 - 5.66 6.20 5.57 .497 5.48 5.87 5.23 5.71 5.87 6.09 5.60 .510 5.48 5.86 5.26 5.50 5.89 6.12 5.59 .513 5.44 6.04 5.10 5.55 5.79 6.11 5.64 .536 5.36 5.97 5.00 5.33 6.00 6.15 5.72 34 120.551 5.32 6.08 5.00 5.32 5.96 6.10 5.71 .564 5.40 6.02 5.25 5.15 5.88 6.20 5.86 .579 5.28 6.08 5.19 5.14 5.55 6.22 5.88 34 121.401 5.78 5.91 5.51 5.60 5.74 6.05 6.12 .412 5.81 6.10 5.59 5.50 5.74 6.12 6.02 .422 5.92 6.02 5.59 5.44 5.69 6.10 5.69 .431 5.90 5.99 5.66 5.40 5.85 5.97 5.54 .441 5.81 6.00 5.65 5.21 5.83 6.14 5.46 .484 5.86 6.02 5.72 5.15 5.97 6.16 5.20 .495 5.94 5.90 5.70 5.22 5.81 6.20 5.40 .505 5.96 5.85 5.59 5.25 5.90 6.16 5.35 .517 5.96 5.75 5.48 5.31 5.86 6.22 5.41 .528 5.81 5.54 5.40 5.24 5.86 6.09 5.60 .539 5.75 5.54 5.35 - 5.92 6.13 5.48 .552 5.65 5.44 5.27 - 5.98 6.15 5.52 .562 5.47 5.43 5.02 - 5.70 - 5.65 .594 5.36 5.33 5.00 5.53 5.74 5.97 5.60 .605 5.59 5.46 5.16 - - - 5.73 34 122.404 5.38 5.60 5.33 5.16 5.61 5.90 6.25 .416 5.40 5.45 5.36 5.16 5.47 6.00 6.29 .431 5.52 5.52 5.35 5.37 5.68 6.13 6.28 34 126.433 5.85 5.97 5.47 5.63 5.84 5.38 6.06 34 131.415 5.98 - 5.62 5.49 5.83 6.10 6.10 34 487.347 5.65 5.50 5.20 5.76 5.88 5.60 5.23 .367 5.43 5.55 5.36 5.98 5.89 5.84 5.50 .385 5.54 5.47 5.42 5.79 5.91 5.74 5.57 .397 5.33 5.36 5.30 5.43 5.74 5.74 5.72 .410 5.35 5.57 5.57 5.40 6.09 6.22 5.82 .428 5.20 5.63 5.45 5.18 - 5.92 5.74 .438 5.25 5.58 5.60 5.04 6.06 5.93 5.58 .449 5.41 5.83 5.60 5.21 6.12 6.03 5.85 .460 5.28 5.60 5.60 5.07 6.06 6.33 5.99 .474 5.29 6.68 5.55 5.04 5.85 5.90 5.90 .483 5.44 5.96 5.50 5.23 5.86 6.28 5.87 .494 5.44 6.07 5.50 5.12 5.85 - - .508 5.47 5.99 5.78 5.08 5.69 - - .518 5.59 6.05 5.73 5.30 5.43 6.13 - 34 488.530 5.30 5.42 5.75 5.66 5.97 6.21 5.89 .540 5.37 5.44 5.71 5.83 - 6.03 5.99 34 567.388 5.78 5.85 5.10 5.63 6.14 5.04 5.20 35 223.415 5.99 5.51 5.20 5.53 5.90 6.18 6.27 .428 5.92 5.47 5.22 5.60 5.79 6.18 6.21 .441 5.81 5.48 5.40 5.59 5.87 6.25 6.20 .467 5.88 5.55 5.30 5.51 5.73 5.84 6.37 .490 5.92 5.72 5.52 5.43 5.85 5.12 6.26 .503 5.73 5.73 5.54 5.44 5.89 4.86 6.20 35 223.517 5.60 5.93 5.63 5.09 5.93 4.90 6.17 .530 5.38 5.84 5.61 5.04 5.81 5.04 6.28 .546 5.42 5.89 5.60 5.04 5.98 5.18 6.13 .573 5.32 6.05 5.60 5.05 5.32 5.32 6.29 35 224.454 5.72 6.00 5.06 5.04 5.95 6.19 5.95 .472 5.86 6.04 5.02 4.94 5.78 6.34 6.09 .485 5.88 6.04 5.24 5.13 5.97 6.12 6.12 .499 6.01 6.06 5.22 5.05 5.86 6.15 6.10 .512 5.86 5.91 5.30 5.16 5.78 5.35 6.34 .524 5.82 5.88 5.28 5.21 5.72 4.98 6.22 .542 5.92 5.65 5.34 5.30 5.86 4.88 6.14 .556 5.86 5.43 5.30 5.53 5.88 4.96 6.10 .569 5.76 5.36 5.61 5.65 5.85 5.18 6.12 .583 5.56 5.54 5.59 5.62 5.94 5.38 6.34 35 227.534 5.40 5.40 5.88 5.29 5.59 6.12 5.72 .547 5.26 5.46 5.62 5.40 5.48 6.56 5.73 .560 5.24 5.42 5.70 5.52 5.63 6.50 6.20 .573 5.38 - 5.94 5.74 5.44 - 6.02 .586 5.40 5.51 5.74 5.48 5.96 6.23 5.88 35 598.507 5.86 5.94 5.51 5.06 6.09 5.78 5.04 .524 5.96 6.22 5.63 5.05 5.88 6.04 5.24 .537 5.70 5.98 5.75 5.22 5.77 5.66 5.17 35 600.363 5.42 5.52 5.66 5.40 5.72 6.60 6.30 .378 5.38 5.33 5.52 5.48 5.28 5.98 5.98 .391 5.24 5.44 5.69 5.72 5.08 5.55 6.18 .405 5.39 5.55 5.80 5.34 4.85 5.03 6.20 .421 5.25 5.50 5.53 5.46 4.90 4.97 6.10 .434 5.35 5.58 5.51 5.53 5.03 5.03 6.44 .446 5.29 5.70 5.36 5.60 5.08 4.99 6.30 .501 5.49 5.90 5.10 5.69 5.46 5.44 - .525 5.61 5.99 5.18 5.38 5.50 5.66 6.44 35 603.369 5.59 5.70 5.03 - 5.59 6.17 5.63 .381 5.78 5.76 5.03 5.60 5.71 6.25 5.73 .397 5.91 6.01 5.01 5.59 5.73 6.18 5.76 .408 5.69 5.84 5.06 5.62 5.64 6.10 5.75 .419 5.93 6.06 5.20 5.76 5.88 6.33 6.06 .431 5.94 6.20 5.14 5.63 5.74 6.28 6.02 .446 5.86 6.02 5.19 5.53 5.75 6.29 5.96 .457 5.95 6.10 5.47 5.68 5.91 6.56 6.04 .468 5.86 6.22 5.33 5.73 5.98 6.40 6.18 .491 5.82 5.94 5.42 5.62 5.73 5.78 6.10 .507 5.86 6.02 5.60 5.44 5.86 5.20 6.16 35 920.444 5.70 5.71 4.92 5.73 5.49 5.01 6.02 .467 5.80 5.76 5.03 5.70 5.53 4.82 5.97 .487 5.70 5.49 5.23 5.77 5.84 5.14 6.20 .504 5.93 5.42 4.94 5.24 5.50 5.03 5.99 35 920.547 5.60 5.25 5.10 5.30 5.77 5.52 6.17 .562 5.30 5.30 5.09 5.20 5.55 5.51 6.19 .585 5.30 5.43 5.08 5.23 5.60 5.51 6.16 35 933.415 5.22 5.34 5.30 5.62 5.04 4.82 6.24 .443 5.22 5.52 5.30 5.94 5.33 5.33 6.08 .479 5.29 5.74 5.29 5.75 5.36 5.29 5.72 .503 5.14 5.50 5.30 5.79 5.27 5.44 5.11 .515 5.39 5.85 5.50 5.69 5.39 5.57 5.33 .530 5.52 5.86 - 5.82 5.41 5.84 5.13 .543 5.76 6.00 5.14 - - 5.83 5.19 .573 5.60 5.81 5.48 5.70 5.33 5.74 5.41 .588 5.77 5.74 5.28 - 5.42 5.68 5.38 .602 5.66 - 4.90 - 5.84 6.02 5.26 36 991.457 5.63 5.82 5.74 5.56 5.42 5.74 6.40 .470 5.81 6.06 5.55 5.52 5.81 6.11 - .485 5.71 - 5.33 5.45 5.68 6.07 6.39 37 018.470 - 6.03 5.62 5.06 5.95 6.39 6.01 .483 5.98 6.03 5.62 5.06 5.94 6.19 6.12 .496 5.85 6.10 5.73 4.90 5.51 6.27 6.02 .510 5.88 5.96 5.90 4.96 5.85 6.09 6.06 .523 5.94 5.79 5.71 5.02 5.70 5.99 6.12 .537 5.70 5.40 5.73 5.34 5.85 6.02 6.38 .550 5.85 5.48 5.70 5.42 5.83 6.11 6.19 .563 5.98 5.64 5.79 5.40 5.91 6.41 6.16 .577 5.90 5.63 - 5.41 6.05 6.32 6.18 .609 5.74 5.58 5.51 5.34 5.88 5.66 6.27 .623 5.72 5.67 5.67 5.44 6.56 5.61 6.56 .637 5.46 5.60 5.71 5.58 6.22 5.13 6.60 37 057.539 5.44 5.57 5.81 4.90 6.02 5.77 5.60 .552 5.53 5.67 5.95 4.87 5.86 5.53 5.60 .578 5.85 6.04 5.45 5.27 6.12 6.09 5.75 37 058.529 5.35 6.05 5.81 5.22 5.73 5.50 5.13 .580 5.42 - - 5.47 6.35 6.02 5.69 37 757.598 5.88 5.63 4.94 - 4.90 5.81 5.98 37 791.365 5.96 6.03 - 5.37 5.54 6.03 5.85 .380 5.85 5.98 5.46 5.72 5.81 6.23 6.07 .394 5.97 5.98 5.51 5.93 5.72 6.18 5.90 .424 5.69 5.76 5.44 5.78 5.69 6.04 6.18 .439 5.68 5.55 5.61 5.77 5.85 6.17 6.14 .454 5.40 5.44 5.25 5.44 5.72 6.06 6.29 .469 5.52 5.51 5.30 5.84 5.74 6.12 6.22 .483 5.40 5.20 5.16 5.53 5.74 6.00 6.04 .497 5.29 5.44 5.05 5.43 5.62 5.95 6.26 .519 5.27 5.53 5.13 5.05 5.92 6.21 6.09 .533 5.19 5.50 4.92 5.23 5.47 6.12 6.28 .549 5.33 5.66 5.16 5.07 5.22 6.24 6.24 .563 5.46 5.73 5.15 5.12 4.90 6.16 6.18 Table 9 (continued) J.D. 92 93 94 96 97 99 100 2 400 000 + 28 963.487 6.13 6.01 5.57 5.93 5.87 5.71 5.78 28 991.403 5.89 6.27 6.20 6.01 5.38 5.67 5.44 .416 5.93 6.06 6.06 5.84 5.60 5.93 5.46 .430 5.94 6.11 6.28 5.99 5.71 5.81 5.25 .522 6.23 5.82 6.12 5.97 6.03 5.77 4.86 .542 6.26 5.58 6.17 5.92 6.11 5.64 5.12 29 346.376 5.45 5.30 6.12 5.45 5.55 5.05 5.74 .392 5.81 5.57 5.95 5.71 5.59 5.44 5.87 29 719.549 5.97 6.07 6.16 5.97 5.64 5.85 5.97 .560 6.00 6.04 5.93 5.89 5.69 5.85 5.82 29 720.546 5.98 5.85 6.18 5.96 5.57 5.62 5.60 .558 5.88 5.85 6.29 5.83 5.54 5.57 5.57 29 774.405 5.49 5.84 - 5.61 5.52 5.68 5.58 .417 5.70 6.00 6.19 5.64 5.54 5.73 5.60 29 775.403 5.72 5.93 6.19 5.56 5.53 5.43 5.98 .415 5.76 6.07 6.48 5.76 5.36 5.33 5.94 .426 5.88 6.00 6.33 5.48 5.48 5.38 5.83 .437 5.85 5.98 6.29 6.10 5.42 5.33 5.78 .447 5.85 5.88 6.16 5.66 5.47 5.53 5.66 30 052.462 5.85 5.80 6.08 4.81 5.53 5.20 5.87 .474 6.09 6.07 6.33 4.80 5.70 5.34 5.85 .489 6.02 5.75 6.07 4.94 5.71 5.51 6.09 .501 6.22 6.01 6.26 5.15 5.94 5.61 6.20 30 078.418 5.23 6.01 5.56 4.81 6.03 5.41 5.79 .434 4.87 6.11 5.63 4.69 5.98 5.30 5.76 .470 5.27 6.05 5.79 5.08 5.75 5.27 5.79 .483 5.20 5.94 5.92 5.05 5.65 5.29 5.94 .498 5.44 5.89 5.78 5.20 5.58 5.27 5.89 .509 5.44 6.11 5.93 5.27 5.53 5.44 5.86 .521 5.50 6.20 6.03 5.42 5.68 5.68 5.99 .536 5.56 6.06 6.12 5.53 5.50 5.60 5.81 .548 5.69 5.94 6.02 5.62 5.51 5.60 5.94 33 390.497 6.14 6.07 6.18 6.34 6.14 5.46 5.94 .534 6.05 6.12 6.15 6.05 5.95 5.60 5.74 .545 6.28 6.35 6.37 6.02 6.07 5.67 5.51 .558 6.17 6.11 6.45 5.59 6.07 5.69 5.45 .570 6.03 6.03 6.17 6.01 5.87 5.71 5.52 .586 6.21 6.24 6.21 6.05 5.81 5.86 5.41 33 420.424 6.13 5.78 6.47 6.00 5.60 5.68 5.52 .438 6.52 5.93 6.26 6.15 5.73 5.90 5.81 .450 6.18 5.95 6.33 6.08 5.70 5.98 5.78 .476 5.45 5.89 6.31 6.09 5.45 5.74 5.72 .487 5.33 5.90 6.44 6.11 5.50 6.03 5.76 .498 5.13 5.96 6.55 6.08 5.64 6.00 5.71 .510 5.05 6.10 6.14 6.24 5.57 6.03 5.74 .523 4.85 - 5.82 6.35 5.69 6.09 5.88 33 421.385 6.24 6.02 6.40 5.90 5.92 5.46 5.76 .442 6.24 5.70 6.15 6.00 5.54 5.94 5.99 .454 6.62 5.60 6.26 5.97 5.62 5.77 5.88 .465 6.38 5.52 6.30 6.29 5.48 5.78 5.82 .475 5.92 5.52 6.22 6.24 5.69 5.96 5.62 .486 5.60 5.39 6.24 6.00 5.66 5.87 5.62 .497 5.19 5.30 6.28 6.11 5.67 6.04 5.35 .535 4.84 5.47 6.41 - 5.68 5.86 5.32 .548 5.04 - 6.43 6.00 5.66 5.88 5.18 33 422.398 6.32 6.18 6.24 5.97 5.79 5.79 6.02 .431 6.26 6.08 6.47 6.08 5.59 5.78 6.03 .442 6.25 6.25 6.22 6.03 5.65 5.88 - .452 6.44 6.29 6.39 6.06 5.60 5.95 5.99 .462 6.18 6.28 6.56 6.15 5.37 5.65 5.93 .472 6.46 6.23 6.57 6.15 5.66 5.88 5.91 .483 5.98 6.27 6.35 6.29 5.49 5.95 5.87 .493 5.59 6.10 6.20 6.20 5.47 5.88 6.05 .508 5.30 5.99 6.27 6.17 5.46 5.80 5.85 .520 5.16 6.12 6.65 6.18 5.46 5.89 5.86 33 763.406 5.12 6.03 6.26 5.58 5.53 5.38 5.84 .420 5.00 5.96 6.20 5.66 5.50 5.50 5.84 .442 5.07 6.02 5.90 5.75 5.50 5.54 5.88 .455 5.17 6.20 6.27 5.77 5.58 5.71 5.85 .464 5.32 6.11 6.23 5.80 5.55 5.73 5.95 .483 5.40 6.25 6.25 5.89 5.53 5.87 6.06 .494 5.40 6.13 6.35 5.87 5.61 5.79 5.83 .504 5.59 6.17 6.23 5.99 5.64 5.93 5.87 .514 5.57 6.16 6.23 5.95 5.80 6.12 5.97 .525 5.72 6.13 6.13 5.98 5.82 6.07 5.86 34 118.355 6.30 5.17 5.96 5.06 5.86 5.66 5.26 .372 6.19 5.30 6.40 4.73 5.84 5.36 5.33 .388 5.99 5.17 6.18 4.56 5.71 5.45 5.31 .428 5.19 5.61 6.46 5.15 5.55 5.22 5.41 .443 4.88 5.65 5.98 5.20 5.53 5.46 5.27 .470 4.98 5.69 - 5.36 5.60 5.36 - .485 5.21 5.89 6.21 5.55 5.59 5.52 5.55 .499 5.16 5.73 6.16 5.52 5.52 5.52 5.79 .513 5.40 5.88 6.26 5.64 5.50 5.60 5.88 .526 5.32 6.00 6.28 5.54 5.45 5.80 5.72 .540 5.62 5.99 6.33 5.90 5.74 5.68 5.58 34 120.471 4.87 6.11 6.30 5.36 5.53 5.65 5.76 .484 5.03 6.00 6.17 5.49 5.49 5.64 5.79 .497 5.07 6.14 6.22 5.51 5.47 5.62 5.48 .510 5.26 6.12 6.28 5.61 5.63 5.70 5.93 .523 5.33 6.02 6.02 5.77 5.67 5.57 5.94 .536 5.39 6.02 6.20 5.72 5.72 5.48 5.72 34 120.551 5.47 6.18 6.29 5.82 5.82 5.52 5.82 .564 5.63 6.22 6.29 5.86 5.81 5.69 6.05 .579 5.63 6.08 6.12 5.81 5.96 5.52 5.98 34 121.401 6.12 5.39 5.78 4.96 5.65 5.51 5.30 .412 6.04 5.42 5.84 4.98 5.64 5.74 5.40 .422 5.92 5.46 5.92 5.08 5.69 5.82 5.27 .431 5.64 5.52 5.85 5.24 5.54 5.76 5.32 .441 5.38 5.62 6.00 5.26 5.54 5.81 5.29 .484 4.95 5.73 6.20 5.60 5.53 5.86 5.56 .495 5.06 5.77 6.21 5.69 5.55 5.83 5.47 .505 5.21 5.76 6.01 5.56 5.61 5.94 5.56 .517 5.18 5.88 6.18 5.65 5.59 5.88 5.51 .528 5.40 5.80 6.07 5.73 5.64 5.86 5.57 .539 5.40 5.82 - 5.66 5.63 5.82 5.63 .552 5.44 5.72 5.26 5.79 5.59 5.72 5.56 .562 5.43 5.90 6.27 5.93 5.67 5.63 - .594 5.66 5.84 5.99 5.81 5.77 5.47 5.55 .605 5.69 6.00 - - - - - 34 122.404 - 6.08 5.64 5.00 5.77 5.54 - .416 6.06 6.20 5.74 5.05 5.68 5.52 5.72 .431 5.74 6.20 5.76 5.16 5.80 5.54 5.84 34 126.433 6.08 5.94 6.11 4.94 5.68 5.52 5.42 34 131.415 6.48 - 6.08 5.08 6.14 5.54 5.72 34 487.347 6.30 5.99 5.11 5.99 5.99 5.74 5.74 .367 6.20 6.23 5.36 6.10 5.94 5.62 5.76 .385 6.40 6.40 5.53 6.14 6.00 5.71 5.99 .397 - - 5.54 6.17 6.14 5.66 5.70 .410 6.09 6.09 5.82 6.05 6.03 5.96 6.03 .428 6.02 - 5.74 5.61 5.96 5.80 5.72 .438 6.20 6.27 5.81 5.12 5.86 5.91 5.84 .449 6.38 6.41 5.93 4.81 5.98 5.83 5.93 .460 - - 5.95 4.77 5.91 5.60 5.89 .474 - - 6.02 4.81 5.88 5.60 5.70 .483 - 6.14 6.12 4.90 5.76 5.61 5.83 .494 5.64 6.12 6.18 5.04 5.90 5.53 5.98 .508 5.11 5.75 6.14 5.14 5.64 5.62 5.86 .518 4.98 5.59 5.94 5.12 5.63 5.72 5.92 34 488.530 5.05 6.02 5.79 5.18 5.61 5.79 5.66 .540 5.03 - 5.82 5.34 5.66 5.82 5.80 34 567.388 6.21 - 6.12 4.99 6.00 5.76 5.93 35 223.415 5.99 6.27 6.35 6.12 5.48 5.56 5.87 .428 6.00 6.22 6.34 6.21 5.49 5.58 5.81 .441 6.03 6.12 6.25 6.10 5.54 5.66 6.00 .467 6.04 6.28 6.16 6.02 5.64 5.80 5.46 .490 6.26 6.17 6.19 5.87 5.64 5.76 5.57 .503 6.20 5.95 6.11 5.95 5.93 5.81 5.40 35 223.517 6.22 5.63 6.35 6.02 6.00 5.83 5.26 .530 6.28 5.60 6.24 6.17 5.94 5.81 5.34 .546 6.17 5.45 6.11 5.98 6.00 5.91 5.24 .573 6.10 5.22 6.26 6.05 6.05 5.85 5.37 35 224.454 6.13 6.13 6.48 6.02 5.61 5.37 5.76 .472 6.18 6.18 6.44 5.75 5.50 5.45 5.70 .485 6.18 6.16 6.32 6.02 5.69 5.72 5.94 .499 6.10 6.19 6.32 6.10 5.73 5.60 5.89 .512 6.39 6.14 6.36 5.70 5.86 5.75 5.78 .524 6.06 5.98 6.32 5.88 5.66 5.54 6.06 .542 6.23 6.23 6.20 5.98 5.92 5.77 5.96 .556 6.16 6.22 6.28 5.90 5.88 5.72 6.05 .569 6.50 6.03 6.18 5.96 5.87 5.85 5.79 .583 6.22 6.26 6.12 5.89 6.00 5.99 5.84 35 227.534 6.07 6.12 6.40 6.09 6.15 6.12 5.88 .547 6.12 6.08 6.12 6.26 5.85 6.14 6.12 .560 6.11 6.32 6.09 6.06 5.90 6.17 5.90 .573 6.23 5.89 - 6.09 6.44 5.78 6.21 .586 6.32 6.38 6.49 5.68 6.12 5.68 5.88 35 598.507 5.76 6.00 6.65 6.11 5.60 5.72 5.40 .524 5.94 6.16 5.99 6.04 5.59 5.67 5.49 .537 5.96 5.92 6.36 5.96 5.43 5.54 5.27 35 600.363 5.04 6.13 6.05 5.71 6.03 5.66 5.50 .378 4.91 5.75 6.05 5.75 6.14 5.33 5.28 .391 5.05 6.16 6.44 6.05 5.93 5.39 5.44 .405 5.00 6.02 6.11 5.94 6.02 5.22 5.16 .421 5.23 6.10 6.23 5.75 6.04 5.36 5.46 .434 5.23 6.06 6.31 5.79 5.86 5.21 5.35 .446 5.55 6.25 6.55 6.25 5.89 5.27 5.50 .501 5.74 - 6.31 6.27 5.44 5.64 5.76 .595 5.79 6.47 6.30 6.07 5.61 5.94 5.50 35 603.369 5.68 6.13 5.54 5.78 5.94 5.44 6.00 .381 5.38 6.27 5.49 5.84 5.96 5.49 6.06 .397 5.05 6.18 5.57 5.97 5.99 5.63 5.91 .408 5.06 6.13 5.73 5.81 5.95 5.60 5.64 .419 5.05 6.20 5.67 5.92 6.04 5.85 5.50 .431 5.16 6.10 5.74 5.91 6.20 5.74 5.49 .446 5.29 6.02 5.70 6.02 5.96 5.63 5.45 .457 5.32 6.17 5.91 6.17 6.04 5.88 5.54 .468 5.51 6.09 5.95 5.95 5.95 5.83 5.43 .491 5.50 6.25 5.96 6.00 5.55 - 5.32 .507 5.67 6.35 6.12 5.98 5.64 5.98 5.38 35 920.444 6.49 5.40 6.48 5.31 5.51 - 5.22 .467 6.50 5.32 6.38 5.40 5.70 5.73 5.32 .487 - 5.74 - 5.75 5.62 5.49 5.82 .504 6.20 5.53 6.09 5.66 5.80 - 5.53 35 920.547 6.38 5.80 6.23 5.80 6.04 5.56 5.37 .562 6.25 5.80 6.32 5.80 6.13 5.70 5.41 .585 6.22 5.80 6.36 5.92 6.02 5.55 5.40 35 933.415 5.66 6.14 6.14 5.38 5.64 5.60 5.40 .443 6.09 6.15 5.98 5.56 5.59 5.48 5.33 .479 6.23 6.17 6.04 5.74 5.64 5.47 5.43 .503 6.19 5.88 6.29 5.44 5.50 5.27 5.50 .515 6.16 6.13 6.37 6.03 5.62 5.65 5.14 .530 6.22 6.31 6.35 5.63 5.58 5.58 5.78 .543 6.48 6.12 6.37 5.79 5.85 5.36 - .573 - 5.91 6.29 5.74 5.81 5.56 5.07 .588 - - 5.81 5.68 5.94 5.59 5.85 .602 - 5.93 - 5.61 5.68 5.59 - 36 991.457 - 5.52 6.07 5.89 5.56 5.53 5.40 .470 6.19 5.85 6.04 6.02 5.43 5.61 5.29 .485 6.03 5.87 - 5.89 5.60 5.90 5.35 37 018.470 5.24 5.47 5.64 6.10 5.89 5.38 6.01 .483 5.37 5.46 5.86 6.01 6.03 5.52 5.82 .496 5.67 5.80 5.93 5.88 6.09 5.44 6.05 .510 5.65 5.70 5.79 5.95 5.90 5.78 5.98 .523 5.70 5.62 5.96 6.02 6.05 5.88 6.04 .537 5.72 5.83 5.95 5.87 - 5.76 5.89 .550 5.69 5.73 5.98 5.85 5.78 5.73 5.94 .563 5.78 5.58 5.81 5.45 5.86 5.80 - .577 5.85 5.78 6.28 4.87 5.66 5.92 6.08 .609 5.86 5.78 - 4.80 5.63 5.92 5.92 .623 6.06 5.94 6.14 5.05 5.72 - 6.27 .637 5.98 5.98 5.90 5.24 5.60 6.17 5.98 37 057.539 6.40 5.57 6.31 4.74 5.60 5.77 6.05 .552 6.31 5.38 6.19 4.77 5.71 5.57 - .578 6.25 5.28 5.45 4.95 6.12 5.89 6.12 37 058.529 6.29 6.08 6.19 5.22 5.69 5.40 5.93 .580 6.36 6.40 6.67 5.07 5.97 5.83 6.29 37 757.598 5.66 5.81 - 6.31 5.72 5.85 5.26 37 791.365 4.86 5.74 5.43 5.74 5.64 5.74 5.49 .380 5.02 5.93 5.56 5.76 5.72 5.89 5.72 .394 5.10 5.90 5.51 5.84 5.73 5.79 5.70 .424 5.30 5.99 5.71 5.73 5.71 5.80 5.83 .439 5.42 6.09 5.79 5.98 5.92 5.73 5.86 .454 5.57 6.13 5.85 6.22 5.99 5.72 5.78 .469 5.61 6.10 5.87 6.06 5.98 5.61 5.75 .483 5.71 6.22 5.98 6.19 6.06 5.44 5.90 .497 5.71 6.10 6.01 6.09 6.06 5.51 5.75 .519 5.90 6.19 6.09 6.16 6.07 5.58 5.96 .533 5.82 6.09 6.32 5.96 6.23 5.40 5.68 .549 - 6.18 6.20 6.06 6.04 5.38 5.60 .563 6.12 6.06 6.36 6.12 5.89 5.23 5.43 Table 9 (continued) J.D. 101 102 104 105 106 107 108 2 400 000 + 28 963.487 4.91 5.60 5.35 5.67 5.30 5.67 6.34 28 991.403 5.48 5.67 5.27 5.63 4.97 5.54 6.15 .416 5.34 5.64 5.58 5.72 5.08 5.58 6.13 .430 5.36 5.71 5.60 5.60 5.00 5.56 6.17 .522 5.33 - 5.69 5.26 4.95 6.12 6.36 .542 5.18 - 5.89 5.19 5.32 6.05 6.28 29 346.376 5.64 5.74 - 5.21 5.93 5.74 6.37 .392 5.64 5.81 - 5.41 6.04 5.41 6.04 29 719.549 5.58 5.85 5.92 5.41 6.16 5.80 6.26 .560 5.59 5.77 5.66 5.30 5.91 6.04 6.24 29 720.546 5.70 5.65 5.96 5.87 5.96 6.02 6.32 .558 5.66 5.60 - 5.60 5.97 5.97 6.07 29 774.405 5.58 5.84 5.16 5.55 5.06 5.58 6.13 .417 5.91 5.76 5.27 5.60 5.06 5.54 6.11 29 775.403 5.15 5.82 5.95 5.43 5.98 5.48 5.95 .415 5.13 5.83 5.78 5.49 5.97 5.59 5.97 .426 5.35 5.92 5.62 5.48 5.92 5.65 5.88 .437 5.40 5.66 5.05 5.51 5.95 5.69 6.10 .447 5.39 5.71 - 5.56 5.66 5.69 6.14 30 052.462 5.97 5.80 4.81 5.50 5.53 6.26 6.31 .474 5.73 5.73 4.97 5.46 5.73 6.27 6.38 .489 5.68 5.84 5.11 5.43 5.71 6.07 6.42 .501 5.71 5.91 5.10 5.45 5.69 6.04 6.22 30 078.418 5.72 5.76 5.99 5.49 6.01 6.05 6.34 .434 5.74 5.63 5.86 5.39 6.01 5.91 6.20 .470 5.64 5.81 5.86 5.62 6.05 5.73 6.17 .483 5.70 5.76 6.02 5.57 6.00 5.62 6.24 .498 5.74 5.70 5.83 5.58 5.98 5.44 5.14 .509 5.93 5.83 5.83 5.63 6.09 5.35 6.22 .521 5.85 5.83 5.89 5.85 5.97 5.62 6.16 .536 5.70 5.83 6.10 5.70 5.94 5.36 6.22 .548 5.62 5.78 5.82 5.80 5.96 5.43 6.34 33 390.497 5.82 5.84 4.66 5.59 5.92 5.38 6.34 .534 5.79 5.83 4.89 5.59 5.59 5.55 6.30 .545 5.88 5.69 4.87 5.39 5.25 5.64 6.22 .558 5.66 5.77 5.11 5.29 5.14 5.66 6.24 .570 5.80 5.78 5.10 5.40 5.13 5.71 6.17 .586 5.92 5.95 5.28 5.39 5.24 5.84 6.34 33 420.424 5.83 5.98 5.92 5.66 5.98 5.49 5.78 .438 5.68 5.90 5.83 5.70 6.07 5.58 5.95 .450 5.60 5.95 6.08 5.53 6.13 5.50 5.89 .476 5.34 5.74 5.91 5.24 6.09 5.45 5.96 .487 5.36 5.76 6.01 5.43 6.05 5.70 6.05 .498 5.25 5.79 5.81 5.41 6.14 5.45 6.10 .510 5.35 5.74 5.92 5.38 6.08 5.45 6.08 .523 5.07 - 5.99 5.18 5.88 5.54 - 33 421.385 5.89 5.74 5.26 5.26 5.76 5.29 5.31 .442 5.81 5.74 5.56 5.44 5.90 5.49 5.73 .454 5.64 5.70 5.79 5.49 5.80 5.54 5.73 .465 5.48 5.68 - 5.60 5.84 5.52 5.82 .475 5.64 5.77 - 5.52 6.08 5.79 5.83 .486 5.70 5.76 - 5.76 6.00 5.80 5.89 .497 5.72 6.04 5.51 5.65 6.21 5.96 5.98 .535 5.59 5.90 - 5.63 5.98 6.04 5.90 .548 5.56 5.91 5.60 - 5.98 5.86 5.99 33 422.398 5.62 5.97 4.88 5.69 5.57 5.69 5.15 .431 5.55 5.99 4.75 5.85 5.85 5.83 5.47 .442 5.54 5.73 5.05 5.54 5.70 5.99 5.54 .452 5.46 6.02 5.06 5.54 5.70 6.02 5.60 .462 5.34 5.74 5.20 5.57 5.71 6.13 5.62 .472 5.45 5.83 5.28 5.39 5.77 5.91 5.60 .483 5.25 5.95 5.08 5.43 5.80 5.87 5.60 .493 5.47 5.92 5.42 5.30 5.85 6.05 5.88 .508 5.44 5.82 5.16 5.33 5.85 6.03 5.80 .520 5.46 5.76 5.33 5.27 5.76 5.91 5.89 33 763.406 5.76 5.84 5.72 5.75 5.84 5.98 5.92 .420 5.72 5.75 - 5.63 5.91 5.84 5.93 .442 6.04 5.85 6.01 5.45 5.95 5.54 6.04 .455 5.92 5.81 5.96 5.44 6.03 5.44 6.14 .464 5.99 5.84 5.95 5.39 6.03 5.44 6.15 .483 5.90 5.80 6.03 5.30 6.17 5.46 - .494 5.72 5.81 5.66 5.31 6.02 5.33 6.19 .504 5.76 5.79 5.87 5.35 6.08 5.40 6.18 .514 5.90 5.85 6.27 5.33 6.02 5.44 6.38 .525 5.80 5.70 5.91 5.39 6.02 5.36 6.28 34 118.355 - 5.84 - 5.66 5.58 5.88 6.24 .372 - - - 5.77 5.53 5.98 6.10 .388 - 5.93 5.36 5.56 5.80 5.93 6.38 .428 5.01 5.69 5.55 5.61 5.61 5.99 6.18 .443 5.27 5.80 5.68 5.76 5.74 6.14 6.27 .470 5.36 - 5.66 5.69 5.90 6.18 6.34 .485 5.21 5.69 5.74 5.59 5.71 5.98 6.24 .499 5.09 - - 5.52 5.85 6.01 6.45 .513 5.33 6.10 5.99 5.50 5.96 5.67 6.42 .526 5.26 - - 5.42 5.91 5.68 5.95 .540 5.43 5.68 5.62 5.22 5.80 5.33 6.17 34 120.471 5.39 - - 5.67 5.31 5.48 6.17 .484 5.35 - - 5.66 5.33 5.62 6.24 .497 5.51 5.67 - 5.84 5.39 5.73 6.18 .510 5.47 5.82 - 5.76 5.42 5.73 6.06 .523 5.46 5.77 - 5.55 5.52 5.90 6.41 .536 5.35 - 4.64 5.48 5.39 5.95 6.13 34 120.551 5.38 5.66 4.60 5.23 5.47 6.03 6.27 .564 5.49 6.00 4.74 5.43 5.73 6.11 6.29 .579 - 5.75 5.19 5.34 5.73 6.22 6.43 34 121.401 5.56 - - 5.44 5.87 5.68 5.84 .412 5.79 - - 5.34 6.04 5.64 6.14 .422 5.72 - 6.08 5.30 6.10 5.72 5.90 .431 5.83 5.78 - 5.30 5.92 5.78 5.96 .441 5.70 6.02 6.00 5.38 6.14 5.76 6.00 .484 5.70 - 6.19 5.40 5.82 5.95 6.09 .495 5.79 - 6.01 5.30 5.83 5.96 6.13 .505 5.69 - 5.83 5.48 5.80 5.97 6.07 .517 5.80 5.80 - 5.51 5.68 6.00 6.22 .528 5.76 - - 5.42 5.54 5.94 6.16 .539 - - - 5.63 5.38 6.14 6.07 .552 - - - 5.63 5.32 6.03 6.09 .562 - - - 5.58 5.24 5.92 - .594 - - - 5.72 5.30 5.77 6.53 .605 - - - - - 5.71 - 34 122.404 - - - 5.64 - 5.92 5.76 .416 5.38 - - 5.56 5.78 5.96 5.92 .431 5.52 - - 5.61 5.84 6.19 5.91 34 126.433 5.63 - 5.55 5.50 5.68 6.08 4.94 34 131.415 5.36 - 4.96 5.68 5.06 5.96 6.42 34 487.347 5.58 5.78 - 5.80 5.78 5.78 6.22 .367 5.20 5.84 - 5.76 5.82 5.96 6.16 .385 5.41 5.86 - 5.74 6.14 5.86 6.14 .397 5.33 5.66 - 5.56 5.86 5.79 6.12 .410 5.38 6.09 - 5.70 6.26 5.96 6.35 .428 - 5.76 - 5.39 5.95 5.90 6.20 .438 5.18 5.82 - 5.30 5.84 5.93 6.27 .449 5.19 5.85 - 5.32 6.09 6.15 6.23 .460 5.20 5.89 - 5.37 6.28 - 6.16 .474 5.37 5.68 - 5.32 5.88 6.08 6.38 .483 5.18 5.70 - 5.25 5.98 5.76 - .494 5.33 5.84 - 5.44 - 5.73 6.26 .508 5.34 5.84 - 5.27 - 5.50 5.89 .518 5.30 5.92 - 5.49 5.98 5.41 6.00 34 488.530 - 5.75 - 5.75 6.12 5.59 6.44 .540 5.82 5.71 - 5.56 - 5.61 6.19 34 567.388 5.56 5.80 4.74 5.65 5.89 5.89 6.21 35 223.415 5.16 5.62 5.16 5.67 5.95 5.51 5.60 .428 5.07 5.64 - 5.60 5.97 5.56 5.77 .441 5.45 5.89 5.37 5.52 6.25 5.74 5.70 .467 5.27 5.78 5.34 5.32 5.84 5.78 5.78 .490 5.34 5.80 - 5.32 5.57 5.94 5.84 .503 5.44 5.87 5.87 5.35 5.37 5.95 5.97 35 223.517 5.39 5.83 5.58 5.31 5.29 - 6.16 .530 5.29 5.82 5.34 5.34 5.26 5.97 5.99 .546 5.40 5.77 - 5.38 5.26 6.10 6.06 .573 5.40 - 5.69 5.43 5.32 6.05 6.35 35 224.454 5.42 5.60 5.06 5.51 5.88 5.95 5.46 .472 5.68 5.66 4.72 5.54 5.93 6.06 5.95 .485 5.74 5.82 4.62 5.69 6.04 6.10 5.78 .499 5.76 5.77 4.69 5.70 6.04 6.08 5.84 .512 5.75 5.82 4.76 5.70 6.10 5.88 5.91 .524 5.74 5.79 4.95 5.74 6.16 5.86 5.74 .542 5.67 5.79 5.30 5.72 - 5.72 6.16 .556 5.66 5.83 5.04 5.68 5.90 5.43 6.10 .569 5.65 5.79 - 5.71 5.65 5.56 5.82 .583 5.72 5.89 5.35 5.59 5.57 5.54 6.12 35 227.534 5.69 6.42 5.75 5.32 5.70 5.88 5.26 .547 5.78 6.12 5.70 5.26 6.16 6.30 5.59 .560 5.90 5.90 6.22 5.54 5.72 5.90 5.52 .573 5.94 5.80 - 5.35 5.78 5.80 5.58 .586 6.16 - - 5.32 5.68 5.98 5.51 35 598.507 5.92 5.72 5.51 5.44 5.64 5.51 5.11 .524 5.92 6.02 5.52 5.81 5.92 5.36 5.25 .537 5.77 5.96 5.77 5.71 5.89 5.43 5.39 35 600.363 5.94 5.80 - 5.88 6.30 5.38 6.41 .378 5.52 5.75 - 5.50 6.24 5.38 6.27 .391 5.69 5.89 5.99 5.67 5.93 5.46 6.15 .405 5.62 5.90 - 5.39 5.82 5.48 6.05 .421 6.00 5.86 5.88 5.33 6.00 5.46 6.27 .434 6.01 5.60 - 5.44 5.93 5.56 6.21 .446 5.98 5.70 - 5.36 5.83 5.64 6.12 .501 5.69 5.76 - - 5.53 5.83 6.07 .525 5.73 5.92 - 5.45 5.36 6.03 5.70 35 603.369 - 5.59 - 5.32 5.61 5.88 5.86 .381 5.46 5.90 - 5.52 6.10 6.00 6.10 .397 5.54 5.82 - 5.44 5.71 5.91 6.18 .408 5.22 5.73 - 5.52 5.71 5.82 6.10 .419 5.28 5.93 - 5.56 5.71 5.56 6.29 .431 5.46 5.87 - 5.73 5.73 5.65 6.24 .446 5.86 5.86 5.37 5.75 5.75 5.37 6.27 .457 5.54 5.59 4.76 5.80 5.75 5.42 6.24 .468 5.57 5.70 4.77 5.59 5.78 5.43 6.43 .491 5.55 5.62 4.96 5.71 5.75 5.35 6.02 .507 5.50 5.84 4.88 5.70 5.87 5.51 6.14 35 920.444 6.18 - 5.07 5.11 5.80 5.98 6.40 .467 6.14 - 4.95 5.28 5.80 5.90 6.20 .487 5.96 - 5.49 5.49 5.92 5.67 5.95 .504 6.12 - 5.11 5.50 5.93 5.42 6.14 35 920.547 6.10 - 5.48 5.52 5.52 5.29 6.27 .562 6.40 - 5.66 5.58 5.38 5.25 6.56 .585 6.28 - 5.55 5.55 5.05 5.43 6.38 35 933.415 5.96 - 6.16 5.34 5.77 6.12 6.14 .443 6.01 - 4.94 5.20 5.70 6.01 6.37 .479 5.84 - 4.58 5.36 5.84 5.39 6.06 .503 - - 4.70 5.44 6.14 5.36 6.10 .515 - - 4.72 5.57 6.01 5.44 6.03 .530 5.66 - 4.96 5.78 6.00 5.49 6.57 .543 - - - 5.68 5.60 5.30 - .573 5.58 - 5.18 5.64 6.10 5.64 6.17 .588 - - - 5.36 5.96 5.58 5.87 .602 - - - 5.49 5.49 5.68 5.49 36 991.457 5.66 - 5.30 5.30 5.56 - 6.07 .470 5.81 - 5.66 5.39 5.36 5.69 6.52 .485 5.43 - 6.03 5.71 5.35 5.93 6.28 37 018.470 5.93 - 5.81 5.39 5.90 6.03 6.39 .483 5.98 - 5.94 5.46 5.82 5.74 6.32 .496 5.48 - 5.72 5.40 5.76 5.42 6.09 .510 5.82 - 6.10 5.54 5.76 5.52 6.19 .523 5.20 - 5.93 5.45 6.04 5.42 6.22 .537 5.73 - 5.80 5.49 5.69 5.41 5.39 .550 5.27 - 5.98 5.69 5.90 5.35 5.37 .563 5.20 - 5.51 - 6.00 5.52 5.06 .577 5.42 - 4.84 5.58 5.87 5.43 5.08 .609 5.69 - - 5.74 6.22 5.66 5.20 .623 5.49 - 4.95 5.82 6.06 5.89 5.35 .637 5.74 - 5.00 5.71 6.14 5.71 5.52 37 057.539 6.23 - 5.44 5.37 5.69 5.57 5.10 .552 6.04 - 5.71 5.50 5.14 5.71 5.09 .578 6.29 - 5.55 5.44 5.00 5.78 5.07 37 058.529 5.69 - 5.20 5.50 6.01 5.93 6.08 .580 5.97 - 5.26 5.73 - 6.06 5.14 37 757.598 - - - 5.52 5.78 6.07 5.85 37 791.365 6.14 - 6.03 5.20 4.80 6.03 5.81 .380 6.16 5.76 5.40 5.40 5.02 5.87 5.89 .394 5.89 5.68 5.09 5.41 5.27 5.56 5.84 .424 5.79 5.81 4.89 5.66 5.38 5.45 6.02 .439 5.78 5.72 5.10 5.74 5.53 5.42 6.20 .454 5.87 5.60 4.69 5.57 5.44 5.25 6.06 .469 5.90 5.75 5.04 5.62 5.58 5.53 6.12 .483 5.77 5.86 5.16 5.65 5.69 5.40 6.31 .497 5.88 5.66 5.05 5.63 5.63 5.57 6.30 .519 6.04 5.87 5.32 5.74 5.85 5.64 6.28 .533 5.93 5.71 5.60 5.68 5.90 5.71 6.20 .549 6.01 5.81 5.81 5.60 5.95 5.66 6.16 .563 5.89 5.92 5.57 5.57 6.03 5.92 6.36 Table 9 (continued) J.D. 109 110 113 114 115 116 117 2 400 000 + 28 963.487 4.86 5.80 6.13 5.22 4.89 5.84 6.20 28 991.403 5.27 5.42 4.71 6.04 6.06 5.51 5.78 .416 5.00 5.39 5.08 6.02 6.24 5.72 6.11 .430 5.18 5.13 4.92 6.09 6.08 5.63 6.14 .522 - - 5.66 5.72 6.20 6.24 - .542 - - 5.76 5.66 6.25 6.12 5.56 29 346.376 4.76 5.58 4.72 6.41 6.30 - 5.35 .392 5.41 5.54 5.15 6.01 5.29 5.95 5.69 29 719.549 5.04 5.90 6.14 5.92 6.37 6.24 6.11 .560 5.19 5.84 6.00 5.82 6.27 6.18 6.14 29 720.546 4.69 5.89 6.11 6.09 6.20 6.34 6.26 .558 4.63 5.78 6.07 6.13 6.11 6.42 6.21 29 774.405 5.33 5.52 5.90 6.21 6.27 5.49 5.30 .417 5.06 5.35 5.98 6.38 6.06 5.54 5.18 29 775.403 5.56 5.21 5.77 5.95 6.06 5.15 5.95 .415 5.47 5.13 5.89 6.04 6.01 5.33 6.17 .426 - 5.28 5.92 5.94 6.30 5.25 6.15 .437 5.59 5.30 5.98 6.00 6.03 5.42 6.07 .447 5.58 5.42 5.83 6.10 6.27 5.66 6.16 30 052.462 5.53 5.85 5.90 6.31 6.16 5.77 5.47 .474 5.88 5.79 5.97 6.09 6.14 5.85 5.23 .489 5.94 6.09 5.87 6.07 6.15 6.02 5.20 .501 5.62 5.91 6.10 5.69 6.29 5.87 5.32 30 078.418 5.38 5.06 5.83 5.90 6.04 6.45 5.74 .434 5.49 5.11 5.11 5.94 5.30 6.28 5.68 .470 5.26 5.35 4.96 5.97 4.96 6.03 5.79 .483 5.48 5.31 4.99 6.12 5.22 6.27 5.74 .498 5.41 5.41 5.20 6.10 5.30 6.12 5.92 .509 5.57 5.54 5.23 6.01 5.33 6.29 5.90 .521 5.36 5.53 5.45 6.11 5.44 6.28 6.03 .536 5.36 5.56 5.46 6.04 5.60 6.20 5.98 .548 5.49 5.65 5.69 6.07 5.65 6.20 5.94 33 390.497 5.77 5.28 5.24 5.72 6.29 5.69 6.07 .534 5.68 5.47 5.53 6.12 6.48 5.92 6.05 .545 5.48 5.48 5.54 - 6.39 6.04 6.22 .558 5.48 5.38 5.66 6.11 6.35 6.11 6.20 .570 5.55 5.69 5.69 6.08 6.02 6.10 5.87 .586 5.64 5.66 5.81 6.21 5.39 6.21 6.21 33 420.424 5.63 5.12 5.98 6.03 5.20 6.16 5.95 .438 5.73 5.31 6.24 6.07 5.30 6.34 5.95 .450 5.86 5.52 6.18 6.34 5.44 5.99 5.95 .476 5.56 5.36 6.30 6.07 5.43 6.31 6.09 .487 5.66 5.39 - 6.05 5.65 6.40 6.05 .498 5.86 5.39 6.57 6.10 5.70 6.34 6.10 .510 5.59 5.40 6.22 6.14 5.90 6.34 6.12 .523 5.61 5.54 - - 5.84 - - 33 421.385 5.62 5.78 5.76 5.36 5.54 5.74 5.22 .442 5.46 4.94 6.18 5.66 5.17 5.92 5.31 .454 5.51 4.89 6.24 5.77 5.18 6.06 5.37 .465 5.36 4.73 6.23 5.76 5.29 6.13 5.40 .475 5.23 4.87 6.23 5.69 5.37 6.12 5.52 .486 5.14 4.83 6.22 5.76 5.46 6.02 5.41 .497 5.50 5.21 6.09 5.80 5.49 6.15 5.60 .535 5.56 5.21 6.13 5.80 5.72 6.41 5.72 .548 - 5.23 6.15 5.91 5.68 6.37 5.70 33 422.398 5.62 5.89 - 6.34 6.13 5.69 6.12 .431 5.59 6.05 5.99 6.05 5.12 5.88 6.20 .442 5.63 6.10 5.91 6.08 5.04 5.86 6.18 .452 5.43 5.90 5.99 6.16 5.00 5.80 6.29 .462 5.62 5.87 6.25 5.89 - 5.93 6.15 .472 5.57 5.63 6.35 5.74 5.06 5.91 6.38 .483 5.83 5.83 6.24 5.74 5.16 6.27 6.27 .493 5.30 5.51 6.35 5.82 5.52 6.10 6.20 .508 5.46 5.00 6.27 5.33 5.49 6.20 6.27 .520 5.20 4.93 6.62 5.16 5.50 6.12 6.45 33 763.406 4.78 5.80 4.87 5.88 5.75 6.20 6.00 .420 4.89 - 5.00 5.94 5.78 6.28 6.05 .442 5.05 - 5.12 5.95 5.86 6.20 5.88 .455 5.22 5.85 5.25 6.01 5.97 6.27 5.98 .464 5.26 5.71 5.41 5.99 5.88 6.23 6.03 .483 5.16 5.44 5.49 6.06 6.03 6.22 6.08 .494 5.24 5.45 5.55 6.02 6.12 6.35 5.96 .504 5.30 5.53 5.81 6.02 6.10 6.23 6.18 .514 5.39 5.44 5.63 6.12 6.24 6.30 6.04 .525 - 5.51 5.80 5.96 6.16 6.40 6.09 34 118.355 - - 6.13 5.66 - 5.29 5.96 .372 - - 5.98 5.60 6.06 5.36 6.02 .388 - - 4.83 5.71 6.35 5.48 5.99 .428 4.40 4.98 4.98 5.61 6.22 5.58 6.08 .443 4.72 - 5.12 5.88 6.33 5.74 6.04 .470 4.66 5.08 5.24 6.12 - 5.94 6.06 .485 4.82 5.21 5.55 5.69 6.27 5.84 6.21 .499 4.92 5.16 5.55 6.09 6.18 6.09 6.28 .513 4.80 5.19 5.67 5.96 5.66 6.42 6.02 .526 5.07 5.60 6.06 - 5.19 6.14 5.78, .540 5.08 5.68 5.99 5.86 4.70 6.14 5.80 34 120.471 - - 4.99 6.05 6.30 5.70 5.58 .484 - - 5.16 6.26 6.23 5.62 5.60 .497 - 5.51 5.16 6.14 6.53 5.78 5.69 .510 5.65 5.70 5.35 6.28 6.40 5.85 5.63 .523 5.44 5.46 5.44 6.31 6.28 5.96 5.89 .536 4.84 5.19 5.54 6.18 6.44 5.98 5.62 34 120.551 4.74 5.20 5.47 6.27 6.25 5.84 5.80 .564 4.49 5.15 5.75 6.27 5.89 6.13 5.78 .579 4.52 4.88 5.55 6.38 5.27 6.00 6.02 34 121.401 - - 6.20 5.65 6.15 4.92 6.03 .412 - - 6.40 5.91 6.27 4.88 6.08 .422 - - 6.22 5.95 6.32 5.02 6.04 .431 5.76 - 6.15 5.92 6.32 5.09 6.10 .441 5.70 5.79 6.22 5.79 6.12 5.14 6.08 .484 5.59 5.59 - 5.59 6.38 5.53 6.02 .495 5.47 5.83 5.10 5.98 6.50 5.61 6.15 .505 5.51 5.63 5.13 6.04 6.30 5.67 5.98 .517 5.51 - 5.14 6.12 6.20 5.88 6.02 .528 5.71 - 5.30 6.08 6.32 5.80 5.89 .539 - - 5.22 6.11 6.33 5.75 5.82 .552 - - 5.44 6.19 6.26 5.90 5.72 .562 - - 5.58 - 6.16 5.86 5.63 .594 - - 5.44 6.20 5.86 6.04 5.28 .605 - - 5.59 - 5.45 - 4.96 34 122.404 - - 6.30 6.00 - 5.78 5.97 .416 - - 6.29 5.80 6.37 5.56 5.86 .431 - - 6.20 5.68 6.27 4.90 5.98 34 126.433 4.65 5.42 6.47 6.80 6.10 6.08 5.52 34 131.415 - 5.44 6.10 5.60 5.48 6.26 5.96 34 487.347 4.89 5.69 5.65 5.97 6.00 6.40 5.60 .367 - - 5.78 5.92 6.16 6.08 5.64 .385 4.89 5.66 5.78 5.89 6.21 6.27 5.53 .397 4.98 5.80 5.79 5.96 6.18 6.01 - .410 4.93 5.67 6.05 6.07 6.40 5.62 5.84 .428 4.90 5.72 6.06 6.40 6.20 5.10 - .438 5.06 5.80 5.82 5.93 - 4.97 5.66 .449 5.19 6.00 6.13 5.83 6.40 4.98 5.85 .460 5.13 5.84 6.22 6.10 6.25 4.96 5.84 .474 5.23 5.78 6.15 5.85 6.30 5.14 - .483 5.16 5.83 6.18 6.06 6.27 5.14 - .494 - 5.84 - 6.21 6.32 5.23 - .508 5.27 5.75 6.24 5.96 - 5.37 - .518 5.43 5.85 - 5.95 - 5.54 - 34 488.530 5.13 - 6.11 6.12 6.33 5.42 5.39 .540 5.06 5.98 6.20 6.04 6.27 5.44 5.48 34 567.388 5.70 - 5.74 6.00 6.21 5.86 5.93 35 223.415 5.39 5.43 5.04 6.10 5.85 6.50 6.35 .428 5.36 5.56 4.93 6.13 5.93 6.47 6.48 .441 5.59 5.52 5.04 5.60 5.93 6.40 6.21 .467 5.46 5.57 5.19 5.24 6.07 6.22 6.22 .490 5.51 - 5.43 5.17 6.15 6.33 6.01 .503 5.45 5.52 5.60 5.23 6.22 6.24 5.95 35 223.517 5.43 5.72 5.63 5.43 6.21 6.54 5.83 .530 - - 5.65 5.47 6.25 6.11 5.45 .546 - - 5.71 5.51 6.34 6.36 5.22 .573 - - 5.78 5.69 6.40 6.31 5.03 35 224.454 5.12 5.24 4.90 6.05 5.92 6.30 6.10 .472 5.30 5.36 4.97 6.36 5.90 6.53 6.06 .485 5.62 5.56 5.21 6.22 6.02 6.35 6.26 .499 - 5.38 5.14 6.26 6.05 6.46 5.92 .512 5.45 5.59 5.32 6.14 6.00 6.32 6.26 .524 5.60 5.52 5.30 6.06 6.07 6.39 6.00 .542 - 5.50 5.39 6.19 6.04 6.24 6.30 .556 - 5.46 5.66 6.05 6.20 6.48 6.24 .569 - 5.90 5.79 6.22 6.28 - 6.12 .583 - 5.96 5.82 6.34 6.14 6.44 6.22 35 227.534 5.54 5.24 4.97 5.88 5.68 6.57 6.07 .547 5.61 5.12 5.07 5.95 5.87 6.56 6.24 .560 5.70 5.24 5.21 6.06 - - 6.55 .573 5.58 5.18 5.41 6.13 5.86 6.07 5.89 .586 5.81 5.24 5.58 6.51 5.99 6.25 6.21 35 598.507 4.92 4.98 5.49 6.09 5.87 5.60 5.88 .524 4.90 5.13 5.48 5.86 5.12 5.86 6.02 .537 4.84 5.24 5.39 6.00 4.92 5.92 5.92 35 600.363 5.57 5.61 6.30 6.01 6.30 6.24 6.11 .378 5.72 5.94 6.27 6.14 6.37 6.41 6.27 .391 5.60 5.82 6.16 5.93 6.09 6.18 6.32 .405 5.66 6.16 6.03 6.03 6.16 6.16 6.02 .421 5.62 5.88 6.38 6.04 6.30 6.10 6.25 .434 5.39 5.75 6.23 6.21 6.32 5.64 6.08 .446 5.60 5.72 6.08 5.89 6.07 5.19 6.38 .501 5.69 5.95 4.89 6.38 6.33 5.20 6.19 .525 5.52 5.66 5.28 6.36 6.33 5.36 6.09 35 603.369 - - 6.24 6.12 6.14 6.27 6.05 .381 4.97 5.17 6.18 6.16 6.20 6.18 6.32 .397 5.26 5.24 6.10 6.05 6.19 5.92 6.20 .408 5.37 5.37 6.11 6.21 6.20 6.08 6.02 .419 5.28 5.41 6.44 6.00 6.39 6.26 6.08 .431 5.46 5.58 6.30 6.33 6.18 6.28 6.04 .446 5.35 5.55 6.20 6.20 6.24 6.27 6.24 .457 5.29 5.54 6.16 5.95 6.32 6.29 6.35 .468 5.26 5.57 6.09 6.11 6.37 6.18 6.09 .491 5.55 5.52 6.14 5.91 6.44 6.58 5.98 .507 5.72 5.84 6.24 6.18 6.24 6.04 6.20 35 920.444 4.80 5.82 6.28 5.20 4.87 6.29 6.12 .467 4.82 5.46 6.30 5.32 5.28 6.22 6.16 .487 4.52 5.46 6.14 5.53 5.62 - - .504 4.84 5.50 6.03 5.47 5.62 6.18 6.02 35 920.547 5.06 6.04 6.23 5.49 5.56 6.32 6.13 .562 4.20 5.74 6.19 5.76 5.76 6.32 6.16 .585 4.80 6.00 5.12 5.92 5.95 6.32 5.95 35 933.415 5.38 6.19 5.22 6.24 5.88 6.24 5.52 .443 5.14 5.82 5.03 6.03 5.86 6.18 5.86 .479 5.29 5.67 5.36 6.32 6.15 6.16 5.77 .503 - - 5.27 6.23 6.08 6.29 5.64 .515 - - 5.60 5.91 5.91 5.50 6.03 .530 4.92 4.82 5.49 5.81 6.33 5.08 5.78 .543 - - 5.96 5.87 - 4.88 5.85 .573 5.20 4.97 5.76 5.48 6.05 5.08 5.89 .588 - - 5.72 5.10 - 5.28 - .602 - - 5.91 5.29 - 5.36 - 36 991.457 4.76 5.22 6.16 6.00 6.23 5.31 5.08 .470 4.90 5.47 6.36 5.81 5.96 4.91 5.18 .485 4.61 - 6.04 6.09 6.10 4.84 5.20 37 018.470 5.88 5.77 5.01 5.20 5.15 6.05 5.70 .483 6.02 5.64 5.00 5.33 5.07 6.16 5.34 .496 5.58 - 5.16 5.40 5.20 6.29 5.67 .510 5.97 - 5.28 5.43 5.47 6.16 5.38 .523 5.34 5.80 5.45 5.66 5.62 6.07 5.25 .537 5.36 5.90 5.67 5.53 - 6.46 5.37 .550 5.40 5.74 5.59 5.64 5.56 6.11 5.38 .563 5.66 5.58 5.59 5.88 - 6.60 5.69 .577 5.51 5.56 5.72 5.68 5.83 6.52 5.59 .609 5.69 5.38 5.80 5.84 5.81 6.38 5.66 .623 5.59 - 5.99 5.99 - 6.19 5.80 .637 5.96 5.37 6.22 5.71 5.97 6.56 5.87 37 057.539 6.05 5.88 5.69 6.19 5.37 5.84 5.20 .552 5.68 - 5.67 6.34 5.50 6.06 5.27 .578 5.95 - 6.04 6.23 5.78 6.01 5.28 37 058.529 6.01 5.81 5.50 5.40 5.09 5.69 6.12 .580 5.97 6.11 - 5.73 5.50 5.83 6.06 37 757.598 - - 6.05 6.21 - 5.44 5.98 37 791.365 4.75 6.32 5.96 5.06 6.21 6.35 5.37 .380 4.62 6.07 6.42 5.52 6.23 6.13 5.52 .394 5.27 5.75 6.08 5.41 6.25 6.24 5.42 .424 5.40 6.06 6.09 5.70 6.24 6.29 5.48 .439 5.78 5.89 6.16 5.74 6.40 6.34 5.71 .454 5.64 6.10 6.19 5.81 6.56 6.13 5.72 .469 5.59 6.06 6.33 5.71 6.23 5.45 5.71 .483 5.40 - 6.35 5.86 6.31 5.16 5.76 .497 5.62 5.79 6.28 5.91 6.60 4.84 5.76 .519 5.81 5.85 5.67 5.98 6.37 5.05 5.85 .533 5.50 5.68 5.11 6.04 6.18 5.19 5.90 .549 5.62 5.53 4.89 5.95 5.40 5.25 5.90 .563 5.70 5.43 4.98 6.12 5.12 5.33 5.92 Table 9 (continued) J.D. 118 119 120 121 123 124 125 2 400 000 + 28 963.487 4.80 6.10 5.67 4.81 5.49 5.67 5.42 28 991.403 5.81 6.07 5.81 5.27 6.07 5.81 5.67 .416 5.28 6.15 5.91 4.96 6.02 5.78 5.60 .430 4.77 6.06 6.04 4.77 5.99 5.84 5.51 .522 5.50 6.05 6.13 - 6.29 5.75 5.40 .542 5.43 6.28 6.15 - 6.28 5.82 5.41 29 346.376 6.18 5.33 5.55 5.21 - 5.63 5.91 .392 6.36 5.64 5.54 5.39 5.69 5.85 6.01 29 719.549 5.11 5.31 5.52 5.56 5.58 5.70 5.83 .560 5.16 5.13 5.50 5.26 5.91 5.77 5.95 29 720.546 4.96 6.09 6.02 5.18 5.42 5.85 5.57 .558 5.00 6.07 5.97 5.21 5.39 5.83 5.57 29 774.405 6.47 6.13 6.03 5.19 6.36 5.61 5.49 .417 6.40 5.98 6.27 5.35 6.10 5.60 5.60 29 775.403 6.38 6.14 5.81 5.23 6.16 5.95 5.53 .415 6.39 6.26 5.83 5.13 6.21 5.94 5.47 .426 5.99 6.08 5.88 5.35 6.24 5.81 5.57 .437 5.71 6.02 5.88 5.45 6.34 5.93 5.54 .447 5.39 6.18 5.90 5.18 6.14 5.90 5.47 30 052.462 6.66 5.26 5.72 5.64 6.29 5.83 5.55 .474 6.21 5.18 5.65 5.43 6.09 5.97 5.46 .489 6.11 4.92 5.71 5.32 - 5.74 5.48 .501 6.43 4.98 5.80 5.38 6.35 6.08 5.51 30 078.418 6.47 5.26 6.12 5.49 5.69 5.61 5.43 .434 6.06 5.27 5.96 5.30 5.55 5.68 5.46 .470 6.13 5.75 5.91 5.46 5.73 5.75 5.73 .483 6.08 5.31 5.96 5.52 5.94 5.67 5.76 .498 6.02 5.70 6.01 5.49 5.87 5.74 5.79 .509 6.39 5.77 6.11 - 6.01 5.74 5.88 .521 6.26 5.83 6.01 5.64 5.91 5.81 5.93 .536 6.22 5.86 5.95 5.31 6.00 5.65 5.98 .548 6.20 5.91 5.96 5.41 6.09 5.82 5.89 33 390.497 4.95 5.57 6.07 5.05 5.72 5.49 5.53 .534 5.25 5.92 6.05 4.60 5.92 5.63 5.47 .545 5.33 5.95 6.12 4.77 6.04 5.61 5.51 .558 5.40 5.89 5.95 4.83 6.20 5.55 5.48 .570 5.60 6.01 6.08 4.85 5.89 5.69 5.64 .586 5.63 6.21 6.05 5.21 6.37 5.76 5.81 33 420.424 5.37 5.03 6.00 4.94 5.49 5.98 6.23 .438 5.19 5.40 5.98 4.89 5.46 5.85 6.05 .450 4.83 5.29 6.01 4.94 5.62 5.70 6.01 .476 5.02 5.37 5.96 5.24 5.80 5.51 6.01 .487 5.19 5.70 6.05 5.13 5.82 5.64 5.86 .498 5.28 5.59 5.81 5.07 6.06 5.73 5.81 .510 5.38 5.59 6.16 5.16 6.22 5.59 5.79 .523 5.36 5.61 6.15 5.07 - 5.61 5.54 33 421.385 6.34 5.69 5.66 5.39 6.24 5.50 5.62 .442 5.01 4.89 5.66 5.40 5.08 5.83 5.87 .454 4.97 4.97 5.49 5.30 5.05 5.75 6.00 .465 4.92 5.01 5.48 5.10 5.21 5.78 5.88 .475 5.07 5.16 5.64 5.05 5.34 5.72 5.96 .486 5.19 5.24 - 5.03 5.27 5.78 6.20 .497 5.17 5.30 5.53 5.01 5.47 5.60 5.98 .535 5.59 5.44 5.63 5.06 5.56 5.80 6.10 .548 5.58 5.31 5.66 4.83 5.66 5.66 5.88 33 422.398 6.34 6.07 5.99 5.54 6.34 6.02 5.79 .431 5.17 5.47 5.88 5.64 6.29 5.85 5.91 .442 4.96 5.32 5.88 5.60 6.30 5.81 5.88 .452 5.00 5.06 5.99 5.23 8.23 5.92 5.95 .462 5.10 4.82 5.99 5.50 6.15 5.89 5.65 .472 5.16 4.94 5.96 5.66 6.54 5.93 5.69 .483 5.19 5.02 6.27 5.32 6.21 5.87 5.95 .493 5.27 5.05 6.13 5.47 5.98 5.90 5.76 .508 5.33 5.11 6.06 5.21 5.66 5.94 5.74 .520 5.69 5.08 6.05 5.24 5.36 5.89 6.00 33 763.406 6.26 6.12 5.65 5.61 5.82 5.91 5.48 .420 6.22 6.04 5.72 5.72 5.66 5.91 5.48 .442 6.19 6.10 5.75 5.50 4.87 5.88 5.43 .455 6.30 6.10 5.81 5.66 4.89 5.81 5.49 .464 6.40 6.20 5.80 5.65 5.09 6.01 5.52 .483 6.17 6.25 5.89 5.37 5.11 5.96 5.62 .494 5.57 6.09 5.81 5.29 5.33 5.96 5.61 .504 5.27 6.10 5.89 5.13 5.42 5.91 5.72 .514 4.93 6.30 5.97 5.10 5.47 5.85 5.73 .525 4.99 6.15 5.91 5.17 5.56 5.91 5.86 34 118.355 5.14 5.08 6.18 - 6.10 5.68 6.08 .372 6.14 5.15 6.00 - 6.28 5.81 5.79 .388 6.12 5.24 6.10 - 6.10 5.82 5.91 .428 6.22 5.38 6.05 4.86 6.31 5.92 5.65 .443 6.25 5.68 5.92 5.12 6.08 5.86 5.65 .470 5.94 5.94 5.90 5.24 - 5.84 5.39 .485 6.09 - 5.81 5.48 6.21 5.89 5.40 .499 6.24 5.85 5.73 5.23 5.99 5.82 5.42 .513 6.42 5.99 5.70 5.19 5.43 5.84 5.36 .526 6.46 6.02 5.60 - 5.07 5.57 5.60 .540 6.17 6.17 5.55 5.37 4.77 5.99 5.48 34 120.471 6.17 5.48 5.45 4.80 6.30 5.65 6.07 .484 6.24 5.57 5.57 4.79 - 5.57 6.00 .497 6.22 5.62 5.73 5.07 6.20 5.69 5.76 .510 6.19 5.76 5.70 5.06 - 5.66 5.80 .523 6.40 5.77 5.55 5.06 6.22 5.67 5.64 .536 6.09 5.72 5.70 4.90 6.20 5.72 5.54 34 120.551 5.77 5.84 5.59 5.17 6.33 5.71 5.43 .564 5.15 5.95 5.78 5.03 6.18 5.78 5.55 .579 4.77 5.90 5.73 4.94 6.43 5.88 5.46 34 121.401 6.38 5.07 5.89 5.44 5.78 5.78 5.76 .412 6.17 5.03 6.17 5.50 5.91 5.74 5.86 .422 6.28 4.87 5.90 5.40 5.90 5.82 5.82 .431 6.12 4.85 5.86 5.54 5.99 5.90 5.88 .441 6.22 4.87 5.98 5.54 6.02 5.85 6.00 .484 6.17 5.30 6.06 5.15 6.06 5.86 6.06 .495 6.17 5.38 5.94 4.89 6.38 5.94 5.90 .505 6.33 5.56 6.00 4.98 6.04 5.83 5.88 .517 6.31 5.51 6.06 4.77 6.18 5.96 6.00 .528 6.18 5.57 5.89 4.86 6.28 5.87 5.94 .539 6.14 5.63 6.02 - 6.19 5.89 5.82 .552 5.63 5.61 6.03 - 6.25 5.84 5.78 .562 5.24 5.63 5.93 - - - - .594 4.80 5.92 6.10 - 6.14 5.74 5.49 .605 4.87 - - - - - 5.30 34 122.404 - 5.76 5.54 - 5.74 - 5.66 .416 6.32 5.54 5.58 - 5.58 5.74 5.65 .431 6.22 5.35 5.50 - 5.58 5.88 5.74 34 126.433 6.06 6.14 5.94 4.94 6.42 5.52 5.78 34 131.415 6.26 5.79 5.62 5.62 - 6.10 5.62 34 487.347 5.97 5.97 5.84 5.60 5.80 5.90 5.80 .367 6.38 6.12 5.62 5.84 5.94 5.92 6.07 .385 6.27 5.89 5.57 5.71 5.96 5.91 6.12 .397 6.17 6.09 5.68 5.52 6.09 5.66 5.66 .410 6.35 6.22 5.82 5.46 6.32 5.86 - .428 6.15 5.72 5.78 5.76 5.95 5.63 5.83 .483 6.34 5.33 5.84 5.38 - 5.62 5.91 .449 6.36 5.11 5.93 5.70 - 5.65 5.93 .460 - 4.80 5.84 5.54 6.28 5.57 5.66 .474 5.93 4.84 6.01 5.44 - 5.48 5.62 .483 6.26 4.90 5.83 5.52 - 5.50 - .494 - 4.95 5.83 - - 5.50 5.48 .508 - 5.11 5.97 5.55 - 5.45 5.62 .518 6.10 5.17 - 5.50 - 5.59 5.60 34 488.530 6.29 5.05 5.59 5.54 5.97 5.81 5.77 .540 6.24 5.06 5.61 - 5.97 5.82 5.66 34 567.388 6.39 5.93 - 4.99 6.30 5.63 5.78 35 223.415 5.93 6.01 5.56 5.23 6.55 5.53 5.95 .428 6.28 6.20 5.58 5.32 6.13 5.54 6.02 .441 6.13 6.15 5.54 5.40 6.32 5.50 5.94 .467 6.37 6.12 5.57 5.19 6.19 5.60 5.88 .490 6.19 6.21 5.62 5.07 6.39 5.49 5.78 .503 6.31 6.20 5.54 4.83 6.27 5.65 5.65 35 223.517 6.20 6.28 5.77 4.60 6.39 5.70 5.65 .530 6.39 6.28 5.65 4.58 - 5.65 5.58 .546 6.35 6.15 5.77 4.66 6.11 5.69 5.45 .573 6.14 6.05 6.03 4.82 5.95 5.60 5.45 35 224.454 6.21 6.15 6.08 5.29 6.21 5.74 5.86 .472 6.32 6.16 6.09 5.26 6.28 5.83 5.88 .485 6.18 6.12 6.04 5.41 6.32 5.85 5.90 .499 6.32 6.32 6.08 5.33 6.19 5.89 5.97 .512 6.38 6.26 6.28 5.42 - 5.79 5.86 .524 6.09 6.40 6.06 5.21 - 5.47 5.74 .542 6.42 6.26 6.04 5.20 - 5.77 5.65 .556 6.14 6.31 6.16 4.98 6.29 5.81 5.58 .569 6.35 6.22 6.01 4.86 - 5.80 5.65 .583 6.18 6.10 6.06 4.74 6.29 5.94 5.54 35 227.534 6.60 6.49 6.02 5.75 5.62 5.91 5.62 .547 6.32 6.30 5.88 5.67 5.70 6.12 5.85 .560 6.42 6.42 5.72 5.70 5.70 6.11 5.97 .573 6.23 6.19 5.82 5.56 6.04 - 5.82 .586 5.96 6.19 5.81 6.00 5.81 5.71 5.88 35 598.507 6.42 5.28 5.74 5.62 5.84 5.92 5.82 .524 6.44 4.84 5.54 5.52 5.81 6.14 5.57 .537 6.36 4.81 5.54 5.54 - 5.94 5.58 35 600.363 5.88 6.12 6.13 4.83 - 5.66 5.79 .378 5.70 6.03 5.90 4.91 - 5.40 5.53 .391 6.07 6.16 6.03 5.02 6.42 5.48 5.58 .405 6.03 6.48 5.80 5.05 - 5.44 5.90 .421 5.90 6.29 5.80 5.14 - 5.41 5.68 .434 5.83 6.10 5.84 5.23 6.19 5.64 5.69 .446 5.98 6.13 5.66 5.22 6.43 5.64 5.75 .501 6.39 6.29 5.64 5.39 5.92 5.61 6.09 .525 6.58 6.28 5.52 5.36 5.02 5.92 6.16 35 603.369 5.78 5.80 6.10 - 5.68 5.53 5.97 .381 5.86 5.88 6.06 - 5.84 5.57 5.78 .397 5.89 5.86 6.14 5.47 5.99 5.61 5.59 .408 5.90 6.02 6.08 5.06 5.78 5.50 5.54 .419 6.14 6.04 5.94 5.45 5.98 5.50 5.74 .431 5.90 6.28 6.04 5.25 5.91 5.65 5.70 .446 6.02 6.14 6.02 5.35 6.17 5.66 5.53 .457 6.25 6.17 6.16 4.97 6.16 5.66 5.54 .468 6.14 6.25 6.16 4.87 6.35 5.57 5.46 .491 6.23 6.10 6.10 4.68 6.10 5.60 5.52 .507 6.20 6.12 6.02 4.72 6.12 5.72 5.51 35 920.444 5.41 5.95 6.11 5.01 6.59 5.51 5.25 .467 5.64 6.05 5.80 5.15 6.38 5.56 5.53 .487 5.67 5.67 5.49 5.07 - 5.58 5.76 .504 5.91 5.62 5.66 - 6.18 5.73 5.76 35 920.547 6.10 4.92 5.52 5.15 6.50 5.56 5.97 .562 6.12 4.82 5.50 4.90 6.56 5.77 5.92 .585 6.14 4.84 5.63 5.00 6.22 5.66 5.89 35 933.415 5.52 6.04 5.60 - 6.04 5.69 5.38 .443 5.89 5.86 5.52 5.43 6.21 5.86 5.78 .479 5.80 5.43 5.72 5.08 6.10 5.84 5.74 .503 5.72 4.81 5.69 - 6.03 5.72 5.72 .515 6.09 4.55 5.75 - 6.35 5.99 6.13 .530 6.08 4.87 5.98 5.10 6.08 5.74 5.92 .543 6.08 4.94 6.18 - - 5.71 5.81 .573 6.18 5.27 6.04 5.15 6.02 5.62 5.95 .588 - 5.68 6.09 - - 5.56 5.58 .602 - 5.39 6.06 - - - 5.87 36 991.457 5.98 6.00 5.56 5.79 - 5.71 5.92 .470 - 6.27 5.69 5.72 5.06 - 5.96 .485 6.04 6.27 5.71 5.74 5.35 5.69 5.83 37 018.470 5.51 6.15 5.73 4.96 - 6.10 5.46 .483 5.16 6.22 5.66 4.70 - 6.05 5.44 .496 4.91 6.39 5.74 4.63 - 5.69 5.55 .510 4.96 6.16 5.71 4.88 - 5.78 5.65 .523 5.14 6.23 6.00 4.88 - 5.82 5.59 .537 5.24 5.87 5.58 4.92 - 5.64 5.80 .550 5.30 - 5.82 5.05 - 5.80 5.54 .563 5.34 6.26 5.68 5.00 6.48 5.62 5.70 .577 5.50 6.16 5.82 5.12 - 5.72 5.68 .609 5.84 6.12 5.94 5.38 - 5.54 5.86 .623 5.89 5.99 5.82 4.92 - 5.70 5.84 .637 6.00 5.30 6.11 5.49 - 5.77 5.92 37 057.539 5.57 4.96 5.81 5.47 5.69 5.95 6.15 .552 5.79 5.14 5.75 - 5.75 6.01 6.01 .578 5.89 5.28 6.04 4.96 5.94 5.84 5.94 37 058.529 5.50 5.45 6.05 5.50 4.89 5.50 6.01 .580 5.97 5.08 5.93 5.59 5.36 5.53 6.11 37 757.598 4.90 - - - 6.17 5.44 5.81 37 791.365 6.21 5.85 6.03 4.75 6.11 5.60 5.60 .380 6.23 5.98 5.93 4.74 6.33 - 5.89 .394 6.29 5.94 5.97 5.05 6.42 5.56 5.83 .424 6.27 6.17 6.02 5.11 6.31 5.51 5.95 .439 6.20 6.06 6.02 5.06 6.25 5.50 5.96 .454 6.36 5.99 5.97 5.53 6.39 5.47 5.81 .469 6.35 6.09 5.97 5.11 6.10 5.51 5.96 .483 6.22 6.13 6.09 5.28 6.30 5.34 5.74 .479 6.27 6.13 5.96 5.22 6.42 5.34 5.96 .519 5.70 6.19 6.09 5.36 6.37 5.53 5.85 .533 5.07 6.07 6.15 5.03 6.32 5.50 5.68 .549 4.99 6.04 5.98 5.25 6.12 5.57 5.66 .563 5.02 6.30 6.00 - 5.98 5.63 5.60 Table 9 (continued) J.D. 126 131 140 142 202 203 2 400 000 + 28 963.487 5.84 5.15 5.00 5.46 5.67 - 28 991.403 5.72 5.21 4.88 5.35 5.78 - .416 5.72 4.93 5.00 5.11 5.72 - .430 5.78 4.80 4.87 5.03 5.81 - .522 5.27 4.70 - - 5.64 - .542 5.12 5.17 4.98 4.90 5.92 - 29 346.376 5.72 5.27 5.30 5.14 5.81 - .392 5.87 5.41 5.54 - 5.61 - 29 719.549 5.80 5.21 5.38 5.53 5.70 - .560 5.79 4.98 5.41 5.46 5.87 - 29 720.546 5.67 5.30 5.42 5.45 5.78 - .558 5.62 5.34 5.32 5.39 5.80 - 29 774.405 5.39 5.13 5.33 5.49 5.80 - .417 5.45 5.39 5.42 5.54 5.80 - 29 775.403 5.48 5.46 5.48 5.08 5.79 - .415 5.59 5.44 5.53 5.10 5.89 - .426 5.53 5.62 5.48 5.25 5.83 - .437 5.44 5.54 5.54 5.54 5.90 - .447 5.24 5.47 5.47 5.51 5.80 - 30 052.462 5.55 5.41 5.01 - 5.83 5.60 .474 5.57 5.54 5.09 5.92 6.02 5.66 .489 5.45 5.25 5.29 5.66 5.80 5.59 .501 5.51 5.89 5.35 5.80 5.94 5.66 30 078.418 5.92 5.64 5.02 5.11 5.72 5.58 .434 5.84 5.39 4.91 4.76 5.71 5.61 .470 5.83 5.40 5.08 4.96 5.75 - .483 5.76 5.60 5.08 4.85 5.76 - .498 5.58 5.49 5.10 5.03 5.74 5.56 .509 5.60 5.38 5.08 5.11 5.83 5.56 .521 5.62 5.32 5.23 5.09 5.83 5.52 .536 5.53 5.17 5.25 5.28 5.79 5.60 .548 5.43 5.13 5.31 5.13 5.75 5.56 33 390.497 5.57 5.13 5.24 5.53 5.72 5.67 .534 5.47 5.37 5.40 5.62 5.65 - .545 5.48 5.67 5.51 5.51 5.80 5.56 .558 5.43 5.50 5.48 5.59 5.87 5.51 .570 5.52 5.57 5.50 5.38 5.76 5.45 .586 5.63 5.72 5.53 5.55 5.63 5.64 33 420.424 5.46 5.37 5.09 5.40 5.98 5.45 .438 5.73 5.37 5.19 5.59 5.90 5.61 .450 5.58 5.06 5.23 5.46 5.83 5.68 .476 5.45 5.24 5.32 5.45 5.93 5.64 .487 5.48 5.13 5.33 5.45 5.76 5.69 .498 5.35 5.02 5.35 5.56 6.16 5.70 .510 5.55 5.23 5.32 5.48 5.90 5.58 .523 5.42 4.98 5.31 5.68 5.90 5.69 33 421.385 5.76 5.14 5.01 4.82 5.76 - .442 5.81 5.40 5.03 4.94 5.73 5.78 .454 5.51 5.30 5.24 5.05 5.75 5.75 .465 5.54 5.27 5.17 4.88 5.82 5.66 .475 5.39 5.25 5.18 5.02 5.87 5.68 .486 5.41 5.29 5.27 5.14 5.80 5.59 .497 5.47 5.37 5.32 5.26 5.77 5.64 .535 5.47 5.63 5.54 5.44 5.70 5.57 .548 5.44 5.44 5.58 - 5.66 5.51 33 422.398 6.24 5.51 5.18 5.62 5.54 5.52 .431 6.05 5.95 5.25 5.50 5.65 5.58 .442 5.86 5.73 5.32 5.65 5.73 5.40 .452 5.92 - 5.33 5.50 5.76 5.49 .462 5.89 5.57 5.37 - 5.74 - .472 5.96 5.60 5.36 5.27 5.83 5.71 .483 5.95 5.64 5.40 4.91 5.78 5.66 .493 5.88 5.44 5.42 4.99 5.76 5.67 .508 5.46 5.33 5.51 4.92 5.94 5.61 .520 5.64 5.33 5.36 4.70 5.69 5.68 33 763.406 5.70 5.12 5.56 5.51 5.78 - .420 5.63 5.23 5.57 5.63 5.71 5.67 .442 5.75 5.12 5.45 5.79 5.75 5.72 .455 5.85 5.20 5.37 5.92 - - .464 5.99 5.21 5.41 5.89 5.65 5.66 .483 6.98 5.25 5.23 - 5.73 5.60 .494 5.83 5.24 5.19 5.72 5.64 5.63 .504 5.93 5.23 5.18 5.74 5.64 5.53 .514 5.88 5.47 5.20 5.76 5.65 5.48 .525 5.86 5.58 5.13 6.09 5.65 5.53 34 118.355 5.44 - 5.29 - 5.88 5.67 .372 5.30 - 5.20 - 5.84 5.56 .388 5.36 - 5.31 - 5.94 5.60 .428 5.72 5.30 5.44 5.99 5.82 5.62 .443 5.74 5.30 5.53 5.98 5.76 5.71 .470 5.69 5.50 5.60 - 5.89 5.63 .485 5.86 5.66 5.52 5.24 5.71 5.66 .499 5.90 5.45 5.45 5.06 5.73 5.48 .513 5.82 5.33 5.60 4.68 5.60 5.60 .526 5.62 5.15 5.45 4.73 5.91 - .540 6.03 5.11 5.19 5.11 5.55 5.44 34 120.471 5.48 - 5.48 - 5.76 5.55 .484 5.42 - 5.49 - 5.81 5.60 .497 5.60 - - 5.57 5.87 5.52 .510 5.59 5.47 5.48 5.58 5.89 5.45 .523 5.59 5.52 5.41 5.71 5.84 5.42 .536 5.82 5.45 5.41 - 5.84 5.35 34 120.551 5.80 5.65 5.13 5.71 5.91 5.51 .564 5.78 5.34 5.21 5.50 5.84 5.64 .579 5.88 5.43 5.10 5.40 6.00 5.57 34 121.401 5.48 5.48 5.35 5.07 5.89 5.48 .412 5.64 5.53 5.42 5.09 6.10 5.49 .442 5.50 5.56 5.53 5.14 5.82 5.60 .431 5.51 5.56 5.49 5.12 5.83 5.48 .441 5.50 5.60 5.62 5.14 5.88 5.60 .484 5.43 5.46 5.56 5.34 5.84 5.57 .495 5.51 5.38 5.58 5.15 5.81 5.60 .505 5.51 5.35 5.54 5.35 5.76 5.63 .517 5.54 5.18 5.44 5.51 5.94 5.72 .528 5.49 5.10 5.33 5.40 5.81 5.76 .539 5.51 - 5.32 - 5.84 5.66 .552 5.59 - 5.08 - 5.78 5.69 .562 5.56 5.00 5.12 - 5.73 5.62 .594 5.68 5.03 5.00 5.66 5.66 5.66 .605 - - 5.11 - 5.83 5.67 34 122.404 5.85 - 5.46 - 5.66 - .416 - 4.97 5.47 - 5.65 5.72 .431 5.82 5.01 5.50 - 5.74 5.67 34 126.433 5.58 5.38 5.50 5.50 5.63 5.69 34 131.415 5.78 5.11 5.54 5.68 5.88 - 34 487.347 5.62 5.36 5.38 5.38 5.80 - .367 5.69 5.45 5.36 - 5.91 - .385 5.89 5.33 5.22 5.91 5.86 - .397 5.66 5.10 5.04 5.56 5.82 - .410 5.90 5.24 - 5.49 5.84 - .428 - 4.95 5.01 - 5.72 - .438 5.81 5.04 5.06 5.60 5.84 - .449 6.03 5.19 5.04 5.90 5.87 - .460 5.91 5.18 5.18 5.87 5.66 - .474 5.82 5.27 5.14 5.74 5.68 - .483 5.83 5.18 5.23 5.59 5.72 - .494 5.90 5.19 5.26 - 5.73 - .508 6.00 5.09 5.27 5.39 5.62 - .518 5.95 5.37 5.43 5.50 5.73 - 34 488.530 5.91 5.37 5.44 5.66 5.79 - .540 5.82 5.42 5.46 5.63 5.74 - 34 567.388 5.56 5.76 5.16 5.52 5.76 - 35 223.415 5.53 5.13 5.33 4.90 5.72 - .428 5.54 5.34 5.40 4.93 5.79 - .441 5.50 5.37 5.43 5.04 5.79 - .467 5.32 5.44 5.46 5.09 5.71 - .490 5.49 5.68 5.49 5.24 5.76 - .503 5.44 5.45 5.40 5.28 5.81 - 35 223.517 5.51 5.31 5.24 5.29 5.85 - .530 5.47 5.40 5.24 5.14 5.81 - .546 5.51 5.20 5.08 5.36 5.71 - .573 5.69 5.10 5.10 - 5.71 - 35 224.454 5.60 5.14 5.54 5.21 5.76 - .472 5.42 4.92 5.62 5.08 5.96 - .485 5.41 5.08 5.47 4.90 5.85 - .499 5.38 5.08 5.50 4.96 5.94 - .512 5.40 4.90 5.40 4.71 5.86 - .524 5.26 4.98 5.23 4.81 5.82 - .542 5.30 5.04 5.24 4.90 5.74 - .556 5.46 5.09 5.06 - 5.81 - .569 5.54 5.29 5.10 5.07 5.79 - .583 5.49 5.25 5.06 5.15 5.85 - 35 227.534 6.15 5.33 5.35 5.49 5.75 - .547 5.98 5.35 - 5.70 5.83 - .560 6.17 5.54 5.24 5.75 5.63 - .573 5.82 5.40 5.23 - 5.56 - .586 5.86 5.24 5.10 5.60 6.00 - 35 598.507 5.88 5.35 5.30 5.60 5.64 5.73 .524 5.98 5.48 5.42 5.61 5.67 5.59 .537 5.94 5.43 5.73 5.94 5.75 5.60 35 600.363 5.99 5.50 5.00 4.70 5.88 5.74 .378 5.48 5.40 5.04 4.85 5.94 5.56 .391 5.67 5.46 5.12 5.02 5.71 5.67 .405 5.55 5.66 5.27 4.94 5.77 5.80 .421 5.60 5.38 5.11 4.93 5.88 5.65 .434 5.49 5.32 5.16 4.95 5.77 5.65 .446 5.53 5.29 5.08 5.24 5.80 5.66 .501 5.54 5.07 5.39 5.26 5.90 - .525 5.58 5.10 5.56 5.50 6.01 5.67 35 603.369 5.70 - 5.03 - 6.00 5.70 .381 5.80 - 5.14 5.60 5.80 5.75 .397 5.61 5.37 5.10 5.32 5.92 5.48 .408 5.80 5.19 4.98 5.27 6.21 5.58 .419 5.94 5.28 5.15 5.56 5.92 5.57 .431 5.96 5.14 5.22 5.54 5.85 5.62 .446 6.00 5.11 5.24 5.60 5.84 5.47 .457 5.91 4.97 5.29 5.57 5.82 5.56 .468 5.98 4.90 5.12 5.40 5.90 5.47 .491 5.68 4.96 5.45 5.58 5.87 5.58 .507 5.64 5.14 5.38 5.56 5.86 5.45 35 920.444 5.28 5.35 5.02 5.99 5.89 - .467 5.80 5.50 5.07 - 5.80 - .487 5.99 5.79 4.88 4.70 5.67 - .504 5.66 5.30 4.64 - 5.80 - 35 920.547 5.65 4.96 4.66 5.10 5.80 - .562 5.20 4.73 4.64 - 5.80 - .585 5.17 4.84 4.68 - 5.87 - 35 933.415 5.58 5.30 5.30 5.43 5.64 - .443 5.67 5.45 5.33 5.86 5.68 - .479 5.39 5.26 5.11 5.39 5.80 - .503 5.27 5.19 4.89 - 5.86 - .515 5.33 5.21 4.97 - 5.91 - .530 5.49 5.21 4.84 5.49 5.74 - .543 4.94 - 4.62 - 5.76 - .573 - 4.90 4.78 - 5.79 - .588 5.28 - 4.88 - 5.58 - .602 5.26 - 4.78 - 5.66 - 36 991.457 5.71 - 5.60 - 5.70 - .470 6.11 - 5.69 5.61 5.75 - .485 6.15 - 5.43 - 5.74 - 37 018.470 5.44 - 5.52 5.49 5.84 - .483 - - 5.37 5.43 5.92 - .496 5.62 - 5.04 4.48 5.96 - .510 5.71 - 5.15 4.85 5.84 - .523 5.55 - 5.07 4.35 5.96 - .537 5.69 - 4.93 - - - .550 5.54 - 5.23 4.90 5.90 - .563 5.60 - 5.11 5.20 5.81 - .577 5.72 - 5.18 5.03 5.70 - .609 5.78 - 5.16 5.12 5.74 - .623 6.14 - 5.49 5.35 5.72 - .637 - - 5.62 5.40 5.87 - 37 057.539 5.57 - 4.95 - 5.69 - .552 5.65 - 5.31 - 5.79 - .578 5.89 - 5.34 - 5.89 - 37 058.529 5.45 - 5.18 - 5.81 - .580 - - - - 5.83 - 37 757.598 5.72 - 5.15 - 5.94 5.74 37 791.365 5.54 5.54 4.80 5.31 5.81 5.64 .380 5.83 5.34 5.02 5.22 5.79 5.56 .394 5.71 5.56 5.16 5.54 5.72 5.56 .424 5.67 5.49 5.04 5.53 5.78 5.51 .439 5.90 5.31 5.03 5.43 5.77 5.67 .454 5.60 5.60 - - 5.64 5.64 .469 5.72 5.14 4.82 5.53 5.66 5.67 .483 5.56 4.92 4.88 5.31 5.65 5.65 .497 5.50 4.88 4.85 5.37 5.60 5.66 .519 - 4.96 5.10 - 5.67 5.70 .533 5.40 4.82 5.07 5.37 5.71 5.74 .549 5.46 4.89 5.30 5.40 5.66 5.62 .563 5.46 4.98 5.19 5.54 5.70 5.70 Fig. 28. Fig. 29. Fig. 30. Fig. 31. Fig. 32. Fig. 33. Fig. 34. Fig. 35. Fig. 36. Fig. 37. Fig. 38. Fig. 39. Fig. 40. Fig. 41. Fig. 42. Fig. 43. Fig. 44. Fig. 45. Fig. 45. Fig. 46. Fig. 47. Fig. 48. Fig. 49. Fig. 50. Fig. 51. Fig. 52. Fig. 53. Fig. 54. Fig. 55. Fig. 56. Fig. 57. Fig. 58. Fig. 59. Fig. 60. Fig. 61. Fig. 62. Fig. 63. Fig. 64. Budapest, Konkoly Observatory, 1964 AugusT REFERENCES van Agt, S. L. Th. and Oosterhoff, P. Th. 1959 Leiden Ann 21 Part 4. Arp, H. C. 1955 A. J. 60. 317 Bailey, S. I. 1913, H. A. 78. 1 Baker, R. H. and Baker, H. V. 1956, A. J. 61. 283 Balazs, J. 1959, Kl. Ver. Bamberg 27. 26 Balazs, J. and Detre, L. several numbers of Budapest Mitt. Belserene, E. P. 1952, A. J. 57. 237 1954, A. J. 59. 406 1964, A. J. 69. 475 Bronkalla, W. 1960, A. N. 285. 181 Detre, L. 1955, Trudy tshetvertogo soveshanija po voprosam kosmogonii. Isd. A. N. SSSR Moscow 389 (in Russian) 1962, I. A. U. Trans. vol. XI. B. 293 Fritze, K. 1962, A. N. 287. 79 Greenstein, J. L. 1935, A. 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