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 1010 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 1010 mean(beta) = +0.01 +- 1.10 and 36 variables on the long-period sequence, with 1010 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*1010 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 1010 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 1010 mean(beta) 1010 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
1010 mean(beta) + 0.90 + 1.85 -3.14 + 0.45 -2.97 + 0.67 -4.99 -0.02 + 1.45 + 2.3
1010 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 1010 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
1010 mean(beta) 1010 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.
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
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34 488.530 5.68 6.14 6.04 5.75 5.89 6.08 6.01
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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
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35 223.517 5.89 6.14 4.93 - 5.79 5.85 5.94
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35 224.454 5.93 5.86 5.24 5.60 5.98 6.12 4.93
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35 227.534 6.45 5.88 6.26 5.18 6.21 6.04 5.62
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35 598.507 6.26 6.45 5.14 5.14 6.06 4.94 6.06
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35 600.363 6.34 5.71 6.31 5.24 6.01 5.88 5.72
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35 603.389 6.38 5.15 5.01 5.42 5.16 5.20 5.20
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35 920.444 4.91 6.17 6.11 5.80 4.86 5.79 5.39
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35 920.547 5.80 4.96 5.40 5.37 5.29 5.77 5.53
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35 933.415 5.93 4.79 5.84 5.66 5.82 5.84 5.22
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36 991.457 5.84 6.30 5.63 5.72 6.13 6.13 -
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37 018.470 5.70 6.20 6.13 5.04 5.82 5.01 5.61
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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
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37 058.529 6.05 6.29 6.19 5.55 6.01 5.93 5.78
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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
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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
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29 346.376 5.97 5.45 5.09 4.96 5.52 5.69 5.97
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29 719.549 5.11 5.24 4.91 5.67 5.55 5.88 6.21
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29 720.546 6.04 5.39 5.21 5.51 5.85 5.21 6.07
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29 774.405 6.13 5.55 5.33 5.61 5.58 6.28 5.38
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29 775.403 5.98 5.63 4.87 5.48 5.43 5.63 5.11
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30 052.462 6.52 5.83 5.23 5.53 5.92 6.13 5.79
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30 078.418 6.01 5.88 5.41 5.17 5.32 5.79 5.72
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.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
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33 420.424 6.03 5.52 6.15 5.00 5.40 5.63 5.34
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.450 5.58 5.80 5.62 4.59 5.60 5.58 5.50
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.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
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33 422.398 5.79 5.79 5.36 5.46 5.92 6.18 6.09
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33 763.406 5.48 5.12 5.63 5.23 5.48 5.82 5.92
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.504 5.87 5.76 5.50 5.59 5.83 6.08 6.00
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34 118.355 5.37 - - - - 5.72 5.76
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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
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34 120.551 5.87 4.89 5.46 5.46 5.43 5.50 5.47
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34 121.401 5.93 5.60 5.20 4.81 5.84 6.02 5.95
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34 122.404 5.40 - - - 5.77 - 5.88
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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
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.483 5.98 6.01 5.22 4.90 5.59 5.86 5.87
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34 488.530 5.89 5.35 4.82 - 5.75 6.09 5.91
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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
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35 223.517 6.06 5.83 5.29 4.63 5.55 6.08 6.06
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35 224.454 5.60 5.88 5.19 5.56 5.26 6.02 5.81
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35 227.534 6.09 5.40 5.40 4.87 6.12 5.26 5.40
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35 598.507 5.44 5.76 5.86 4.48 5.30 5.80 5.88
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35 600.363 5.88 5.97 5.82 5.52 5.72 6.12 5.74
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35 603.369 6.03 5.78 - - 5.72 5.01 6.08
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35 920.444 5.07 5.38 5.95 6.00 5.13 5.03 5.64
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35 920.547 5.49 5.56 4.87 5.20 5.48 5.56 5.94
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35 933.415 5.82 4.72 5.22 5.12 5.77 5.91 6.04
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.479 5.95 5.22 5.33 5.50 4.62 5.93 5.95
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36 991.457 5.86 5.69 5.20 4.80 5.54 6.13 5.56
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37 018.470 5.57 6.08 5.75 5.47 5.78 5.19 5.91
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.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. 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. N. 257. 301
Grubissich, C. 1956, Mem. Soc. Astron. Ital. 27. 391
Hett, J. H. 1942, A. J. 50. 77
Izsak, I. G. 1957 Budapest Mitt. 42. 63 CoKon 42 63
Kinman, T. D. 1961, Royal Observatory Bulletins No 37
Kukarkin, B. V. 1961, Per. Zv. 3. 13. 384
Kukarkina, N. P. and Kukarkin, B. V. 1961a, Per. Zv. 13. 239
1961b, Per. Zv. 13. 309
Larink, J. 1922, Berg. Abh. 2. Nr. 6
Mannino, G. 1956, Mem. Soc. Astron. Ital. 27. 169, 263
Martin, W. Chr. 1938, Leiden Ann. 17, Part 2
1942, Ap. J. 95. 314
Muller, Th. 1933, Berl. Babels. Veroff. 11. 1
Notni, P. and Oleak, H. 1958, A. N. 284. 49
Oosterhoff, P. Th. 1941, Leiden Ann. 17. Part 4
Ozsvath, I. 1957, Budapest Mitt. 42. 81 CoKon 42 81
Preston, G. W. 1959, Ap. J. 130. 507
1964, Ann. Rev. of Astr. and Astroph. Vol. II pp 23-48
Roberts, M. and Sandage, A. R. 1955, A. J. 60. 185
Rosino, L. 1950, Ap. J. 112. 221
Sandage, A. R. 1953, A. J. 58. 61
1959, Ap. J. 129. 596
Sandage, A. R. and Katem, B. 1964, Ap. J. 139. 1088j
Sawyer, H. B. 1955, Publ. DDO 2. No 2
Schwarzschild, M. 1940, H. C. 437
Slavenas, P. 1929, A. N. 240. 169
Sterne, Th. E. 1934, H. C. 386
Wachmann, A. A. 1965, Astron. Abh. S. 121
Woolf, N. J. 1964, Ap. J. 139. 1082