218 
PACIFIC SCIENCE, Vol. IX, April, 1955 
TABLE 12 
Four Roots of the Equation: a 4 — 108232377V — 14997110a + 837047752+ = 0 (m = 8) 
For Different Values of rj . Refer to Equation (73) 
V 
a 
0 
7 
8 
0.1 
261.0534 . < 
j - 130.80566 
1 - 200.901171 
0.557915 < 
j -130.80566 
> +200.901171 
0.2 
303.8011 < 
) - 153.00973 
1 - 162.077191 
2.218353 \ 
) -153.00973 
\ +162.07719 1 
0.3 
370.5806 < 
1 - 187.72495 
! - 80.673311 
4.869290 < 
) -187.72495 
! + 80.673311 
0.4 
453.4263 
- 361.4649 
8.16140 
-100.12279 
0.5 
545.3238 
- 488.9073 
11.54844 
- 67.96499 
0.6 
642.0766 
- 603.2818 
14.57609 
- 53.37086 
0.7 
741.4967 
- 713.0920 
17.06109 
- 45.46578 
0.8 
842.4569 
- 820.7429 
19.02024 
- 40.73423 
0.9 
944.3528 
- 927.2101 
20.54552 
- 37.68823 
1.0 
1046.8452 
- 1032.9665 
21.73513 
- 35.61386 
1.1 
1149.7340 
- 1138.2677 
22.67082 
- 34.13710 
1.2 
1252.8955 
- 1243.2629 
23.41501 
- 33.04765 
1.3 
1356.2502 
- 1348.0439 
24.01403 
- 32.22033 
1.4 
1459.7455 
- 1452.6706 
24.50170 
- 31.57663 
1.5 
1563.3455 
- 1557.1831 
24.90330 
- 31.06571 
1.6 
1667.0250 
- 1661.6093 
25.23739 
- 30.65313 
1.7 
1770.7657 
- 1765.9687 
25.51799 
- 30.31500 
1.8 
1874.5546 
- 1870.2760 
25.75573 
- 30.03431 
1.9 
1978.3818 
- 1974.5419 
25.95878 
- 29.79866 
2.0 
2082.2396 
- 2078.7743 
26.13349 
- 29.59884 
3.0 
3121.6883 
- 3120.1485 
27.05156 
- 28.59141 
4.0 
4161.7302 
- 4160.8641 
27.38066 
- 28.24677 
5.0 
5201.9405 
- 5201.3862 
27.5343 6 
- 28.08865 
6.0 
6242.2157 
- 6241.8308 
27.61821 
- 28.00312 
7.0 
7282.5211 
- 7282.2383 
27.66889 
- 27.95168 
8.0 
8322.8421 
- 8322.725 6 
27.70183 
- 27.91835 
9.0 
9363.1721 
- 9363.0010 
27.72445 
- 27.89552 
10.0 
10403.508 
-10403.369 
27.74062 
- 27.87919 
