58 



TABLE 10 

 Functions for Determining Limits of Doublet Distributions 



a 



A(a) 



B(a) 



C(a) 



D(a) 1 E(a) 



F(a) 



Ota) 



H(a) 



c 



0.1 

 .2 

 .3 

 .4 





 143.0 

 188.5 

 169.7 

 112.5 



-18432.0 



-13409.7 



-9315-5 



-6027.4 



-3433.9 





 -177.4 



-305.6 

 -392-4 

 -445.1 



18432.0 

 16230.2 

 14227.2 

 12414.2 

 10782.7 





 35-5 

 65.3 

 89.3 

 107-5 



-3456.0 

 -3225.6 

 -2995-2 

 -2764.8 

 -2534.4 





 -37-0 



-71.0 

 -102.2 

 -130.6 



3456.0 

 3340.8 

 3225.6 

 3110 4 

 2995-2 



• 5 

 .6 



'I 

 o.s 



36.4 



-44.4 



-120.1 



-184.5 



-234.8 



-1433.3 

 66.6 

 1148.7 

 1887.4 

 2349.1 



-470.8 

 -475.6 

 -465.4 

 -445.6 

 -421 .1 



9324.0 

 8029.4 

 6890.4 

 5898.2 

 5044.3 



120.0 

 126.7 

 127-7 

 122.9 

 112.3 



-2304.0 

 -2073.6 

 -1843 ,2 

 -1612.8 

 -1382.4 



-156.0 

 -178.6 

 -198.2 

 -215.O 

 -229.0 



2880.0 

 2764.8 

 2649.6 

 2534.4 

 2419.2 



1 .c 

 .1 



.2 

 .3 

 .4 



-270.O 

 -291 .2 

 -300.5 

 -300.9 

 -295-9 



2592.0 

 2667.3 

 2619.2 

 2485.3 

 2297.3 



-396.0 

 -37t.3 

 -359-1 

 -353-4 

 -359-3 



4320.0 

 3716.6 

 3225.6 

 2838.2 

 2545.9 



96.0 

 73-9 

 46.1 

 12.5 

 -26.9 



-1152.0 

 -921 .6 

 -691 .2 

 -460.8 

 -230.4 



-240.0 

 -248.2 

 -253.4 

 -255-8 

 -255- t 



2304.0 

 2188.8 

 2073.6 



1958.4 

 1843.2 



■1 



i 



1-9 



-288.9 

 -283.1 

 -281.5 

 -286.2 

 -298.8 



2081 .3 

 1857-9 

 1643.5 

 1449.7 

 1284.4 



-378.8 

 -412.9 

 -462.5 

 -527.8 

 -608.6 



2340.0 

 2211 .8 

 2152.8 

 2154.2 

 2207.5 



-72.0 

 -122.9 

 -179-5 

 -24l .9 

 -310.1 





 230.4 

 460.8 

 691 .2 

 921 .6 



-252.0 

 -245.8 

 -236.6 

 -224.6 

 -209.8 



1728.0 

 1612.8 

 1497.6 

 1382.4 

 1267.2 



2.C 

 .1 

 .2 

 ■ 3 

 .4 



-320.O 

 -349.8 

 -387.3 

 -430.9 

 -478.2 



1152.0 

 1054.0 

 989.1 

 954.0 

 943.7 



-704.0 

 -812.8 

 -933-3 

 -1063.1 

 -1199-3 



2304.0 

 2435.0 

 2592.0 

 2766.2 

 2949.1 



-384 . 

 -463.7 

 -549.1 

 -640.3 

 -737-3 



1152.0 

 13B2.4 

 1612.8 

 1843.2 

 2073.6 



-192.0 



-171 .4 



-147.8 



-121 .4 



-92.2 



1152.0 

 1036.8 

 921 .6 

 806.4 

 691.2 



■1 



-526.3 

 -572.0 

 -611.7 

 -641 .8 

 -658.9 



951.8 

 970.9 

 993-5 

 1011.9 

 1018.9 



-1338.8 

 -1477.5 

 -1611 .4 



-1844 '.2 



3132.0 

 3306.2 

 3463.2 

 359'*.2 

 3690.7 



-840.0 



-948.5 



-1062.7 



-1182.7 



-1308.5 



2304.0 

 2534.4 

 2764.8 

 2995-2 

 3225-6 



-60.0 

 -25.0 

 13.0 

 53.8 

 97-4 



576.0 

 460.8 

 345.6 

 230.4 

 115.2 



5-0 



.i 

 .2 

 .3 

 .1) 



-660.0 

 -642.8 

 -606.1 

 -549.6 

 -474.9 



1008.0 

 974.2 

 914.2 

 826.8 

 713.3 



-1932.0 

 -1992.4 

 -2018.5 

 -2003.0 

 -1937-8 



3744.0 

 3745.4 

 3686.4 

 3558.2 

 3352.3 



-1440.0 

 -1577-3 

 -1720.3 

 -1869.1 

 -2023.7 



3456.0 

 3686.4 

 3916.8 

 4147.2 

 4377-6 



144.0 

 193.6 

 245.8 

 301 .0 

 359-0 







-115.2 

 -230.4 



-345.6 



-460.8 



J 



3.9 



-385.3 



-286.2 



-185.8 



-94.8 



-27.O 



578.3 

 429.5 

 278.7 

 142.2 

 40.6 



-1814.8 



-1624.8 



-1358.5 



-1006.0 



-556.8 



3060.0 

 2672.6 

 2181.6 

 1578.2 

 853.9 



-2184.0 

 -2350.1 

 -2521 .9 

 -2699-5 

 -2882.9 



4608.0 

 4838.4 

 5068. 8 

 5299.2 

 5529-6 



420.0 



483.8 

 550.6 

 620.2 

 692.6 



-576.0 

 -691 .2 

 -806.4 

 -921 .6 

 -1036.8 



4.C 



.1 



.2 

 .3 



.4 





 -34.7 

 -156.4 

 -394.3 

 -782.7 







52.1 



23"*-5 



591-5 



1174.1 







675.9 



1482.8 

 2433.3 

 3540.3 





 -992.2 

 -2131 .2 

 -3425.8 

 -4884.5 



-3072.0 

 -3266.9 

 -3467-5 

 -3673.9 

 -3886.1 



5760.O 

 5990-4 

 6220.8 

 6451 .2 

 6681.6 



768.O 



846.2 

 927-4 

 1011 .4 

 1098.2 



-1152.0 

 -1267.2 

 -1382.4 

 -1497.6 

 -1612.8 



■1 



i 



it. s 



-1360.2 



-2170.8 

 -3263.7 

 -4693.4 

 -6520.2 



2040.8 

 3257-6 

 4899-2 

 7048.4 

 9797-5 



4817.3 

 6278.2 

 7937-7 

 9810.7 

 11912.8 



-6516.O 



-8329-0 



-10332-0 



-12533.8 



-14942.9 



-4104.0 

 -4327.7 

 -4557.1 

 -4792-3 

 -5033.3 



6912.0 

 7142.4 

 7372.8 

 7603.2 

 7833.6 



1188.0 

 1280.6 

 1376.2 

 1474.6 

 1575-8 



-1728.0 

 -1843.2 

 -1958.4 

 -2073.6 

 -2188.8 



5-C 



-8810.0 



13248.0 



14260.0 



-17568.0 



-5280.0 



8o64.0 



1680.O 



-2304.0 







1 



2 

 3 



4 





 -270 

 -320 

 -660 







-18432 



2592 



1152 



1008 











-396 



-704 



-1932 







18432 

 4320 

 2304 

 3744 

 







96 



-384 



-1440 



-3072 



-3456 

 -1152 

 1152 

 3456 

 5760 





 -240 



-192 

 144 

 768 



3456 

 2304 

 1152 

 

 -1152 



3 



9 



-8810 



-75840 



-302400 



-819200 



-1700550 



13248 



116352 



488592 



1456128 



3535200 



14260 



55104 



141876 



299008 



556020 



-17568 



-576OO 



-128736 



-239616 



-398880 



-528O 



-8064 



-11424 



-15360 



-19872 



8064 

 10368 

 12672 

 14976 

 17280 



1680 

 2880 

 4368 

 6l44 

 8208 



-2304 

 -3456 

 ' -4608 

 -5760 

 -6912 



10 



11 



12 



13 

 it 



-2790720 

 -3417260 

 -1966080 

 4706910 

 220528OO 



7475328 

 14306040 

 25362432 

 42363648 

 67420800 



947520 

 1513204 

 2297856 

 3351348 

 4728640 



-615168 



-897120 



-1253376 



-1692576 



-2223360 



-24960 

 -30624 

 -36864 

 -43680 

 -51072 



19584 

 21888 

 24192 

 26496 

 28800 



10560 

 13200 

 16128 

 19344 

 22848 



-8064 



-9216 



-10368 



-11520 



-12672 



15 



58820520 



03097808 



6489780 



-2854368 



-59040 



31104 



26640 



-13824 



A + ajB + a C + a a.,D ^ 



- a E + a 1 a £ F + a^G + a^H = 



A = a(a - 4) 2 (5a* - 83a 3 + 288 



o 2 - 368a + 128) E = -96a(3a - 4) 



B = +72(a - 4) 2 (5a 3 - 25a 2 + 4 



0a - 16) F = 115212a - 3) 



C = 4a(a - 4) (53a 2 - 148a + 12 



8) = 48(3a - 8)a 



D = -288(a - 4)(5a 2 - l6a + 16 



) H = -1152(0 - 3) 



