Simulate a transmission model with 3 compartments: susceptible (S), infected (I), recovered (R)
Arguments
- times
time sequence.
- state
the initial state of the model. A named vector with the following
S: initial susceptible populationI: initial infected populationR: initial recovered population
- parameters
the parameters of the model. A named vector with the following
alpha: disease-related death ratemu: natural death rate (= 1/life expectancy)beta: transmission ratenu: recovery ratep: proportion vaccinated at birth
Value
list of class sir_basic_model with the following items
- parameters
list of parameters used for fitting the model
- output
matrix of population for each compartment over time
Details
Follow the SIR model described in the book by Hens et al. (section 3.1.3.)
Assumptions:
- Individuals are born into susceptible group (exposure time is age of the individual) then transfer to infected class and recovered class
- Recovered individuals gained lifelong immunity
- Age homogeneity
The model is described by a system of 3 differential equations
$$ \begin{cases} \frac{dS(t)}{dt} = B(t) (1-p) - \lambda(t)S(t) - \mu S(t) \\ \frac{dI(t)}{dt} = \lambda(t)S(t) - \nu I(t) - \mu I(t) - \alpha I(t) \\ \frac{dR(t)}{dt} = B(t) p + \nu I(t) - \mu R(t) \end{cases} $$
Where:
- \(B(t) = \mu N(t)\)
- \(\lambda(t) = \beta I(t)\) with \(\beta\) is the transmission rate
- \(\mu\) is the natural death rate
- \(\nu\) is the recovery rate
- \(\alpha\) is the disease related death rate
- \(p\) is the proportion of newborn vaccinated and moved directly to the recovered compartment
References
Hens, Niel, Ziv Shkedy, Marc Aerts, Christel Faes, Pierre Van Damme, and Philippe Beutels. 2012. Modeling Infectious Disease Parameters Based on Serological and Social Contact Data: A Modern Statistical Perspective. tatistics for Biology and Health. Springer New York. doi:10.1007/978-1-4614-4072-7 .
Examples
state <- c(S=4999, I=1, R=0)
parameters <- c(
mu=1/75, # 1 divided by life expectancy (75 years old)
alpha=0, # no disease-related death
beta=0.0005, # transmission rate
nu=1, # 1 year for infected to recover
p=0 # no vaccination at birth
)
times <- seq(0, 250, by=0.1)
model <- sir_basic_model(times, state, parameters)
model
#> $parameters
#> mu alpha beta nu p
#> 0.01333333 0.00000000 0.00050000 1.00000000 0.00000000
#>
#> $output
#> time S I R
#> 1 0.0 4999.0000 1.000000e+00 0.0000000
#> 2 0.1 4998.7320 1.160221e+00 0.1077427
#> 3 0.2 4998.4213 1.346094e+00 0.2326044
#> 4 0.3 4998.0610 1.561716e+00 0.3773237
#> 5 0.4 4997.6431 1.811844e+00 0.5450805
#> 6 0.5 4997.1585 2.101986e+00 0.7395605
#> 7 0.6 4996.5964 2.438526e+00 0.9650385
#> 8 0.7 4995.9447 2.828861e+00 1.2264683
#> 9 0.8 4995.1888 3.281562e+00 1.5295984
#> 10 0.9 4994.3124 3.806555e+00 1.8810889
#> 11 1.0 4993.2960 4.415328e+00 2.2886597
#> 12 1.1 4992.1176 5.121181e+00 2.7612570
#> 13 1.2 4990.7513 5.939496e+00 3.3092454
#> 14 1.3 4989.1673 6.888062e+00 3.9446311
#> 15 1.4 4987.3312 7.987438e+00 4.6813171
#> 16 1.5 4985.2032 9.261364e+00 5.5353974
#> 17 1.6 4982.7373 1.073724e+01 6.5254956
#> 18 1.7 4979.8802 1.244666e+01 7.6731536
#> 19 1.8 4976.5707 1.442600e+01 9.0032756
#> 20 1.9 4972.7382 1.671712e+01 10.5446365
#> 21 2.0 4968.3014 1.936813e+01 12.3304612
#> 22 2.1 4963.1667 2.243418e+01 14.3990819
#> 23 2.2 4957.2269 2.597840e+01 16.7946833
#> 24 2.3 4950.3589 3.007295e+01 19.5681420
#> 25 2.4 4942.4220 3.479999e+01 22.7779683
#> 26 2.5 4933.2558 4.025286e+01 26.4913554
#> 27 2.6 4922.6774 4.653722e+01 30.7853403
#> 28 2.7 4910.4798 5.377212e+01 35.7480765
#> 29 2.8 4896.4287 6.209111e+01 41.4802135
#> 30 2.9 4880.2606 7.164304e+01 48.0963714
#> 31 3.0 4861.6806 8.259275e+01 55.7266884
#> 32 3.1 4840.3604 9.512119e+01 64.5184070
#> 33 3.2 4815.9375 1.094250e+02 74.6374493
#> 34 3.3 4788.0147 1.257154e+02 86.2699071
#> 35 3.4 4756.1611 1.442155e+02 99.6233541
#> 36 3.5 4719.9151 1.651570e+02 114.9278525
#> 37 3.6 4678.7892 1.887743e+02 132.4364981
#> 38 3.7 4632.2776 2.152971e+02 152.4253126
#> 39 3.8 4579.8673 2.449404e+02 175.1922628
#> 40 3.9 4521.0529 2.778920e+02 201.0551572
#> 41 4.0 4455.3547 3.142972e+02 230.3481645
#> 42 4.1 4382.3416 3.542416e+02 263.4167064
#> 43 4.2 4301.6574 3.977321e+02 300.6105180
#> 44 4.3 4213.0491 4.446762e+02 342.2747557
#> 45 4.4 4116.3969 4.948639e+02 388.7391584
#> 46 4.5 4011.7435 5.479511e+02 440.3054474
#> 47 4.6 3899.3180 6.034486e+02 497.2333690
#> 48 4.7 3779.5549 6.607191e+02 559.7260108
#> 49 4.8 3653.1014 7.189833e+02 627.9153170
#> 50 4.9 3520.8135 7.773377e+02 701.8487820
#> 51 5.0 3383.7376 8.347838e+02 781.4785087
#> 52 5.1 3243.0786 8.902676e+02 866.6537354
#> 53 5.2 3100.1558 9.427265e+02 957.1177216
#> 54 5.3 2956.3499 9.911405e+02 1052.5095881
#> 55 5.4 2813.0466 1.034582e+03 1152.3712323
#> 56 5.5 2671.5798 1.072261e+03 1256.1589966
#> 57 5.6 2533.1819 1.103559e+03 1363.2593013
#> 58 5.7 2398.9427 1.128050e+03 1473.0071156
#> 59 5.8 2269.7810 1.145513e+03 1584.7059460
#> 60 5.9 2146.4291 1.155923e+03 1697.6479867
#> 61 6.0 2029.4295 1.159437e+03 1811.1332030
#> 62 6.1 1919.1419 1.156372e+03 1924.4863558
#> 63 6.2 1815.7593 1.147169e+03 2037.0712745
#> 64 6.3 1719.3283 1.132370e+03 2148.3020058
#> 65 6.4 1629.7729 1.112576e+03 2257.6507525
#> 66 6.5 1546.9188 1.088428e+03 2364.6527513
#> 67 6.6 1470.5167 1.060575e+03 2468.9084084
#> 68 6.7 1400.2634 1.029653e+03 2570.0831096
#> 69 6.8 1335.8203 9.962746e+02 2667.9051667
#> 70 6.9 1276.8286 9.610090e+02 2762.1623582
#> 71 7.0 1222.9220 9.243805e+02 2852.6974870
#> 72 7.1 1173.7359 8.868608e+02 2939.4033246
#> 73 7.2 1128.9149 8.488678e+02 3022.2172493
#> 74 7.3 1088.1178 8.107663e+02 3101.1158224
#> 75 7.4 1051.0210 7.728695e+02 3176.1094867
#> 76 7.5 1017.3203 7.354422e+02 3247.2375209
#> 77 7.6 986.7324 6.987042e+02 3314.5633374
#> 78 7.7 958.9949 6.628349e+02 3378.1701781
#> 79 7.8 933.8656 6.279772e+02 3438.1572322
#> 80 7.9 911.1224 5.942414e+02 3494.6361813
#> 81 8.0 890.5618 5.617100e+02 3547.7281617
#> 82 8.1 871.9980 5.304408e+02 3597.5611217
#> 83 8.2 855.2616 5.004708e+02 3644.2675485
#> 84 8.3 840.1983 4.718192e+02 3687.9825323
#> 85 8.4 826.6677 4.444902e+02 3728.8421358
#> 86 8.5 814.5421 4.184759e+02 3766.9820366
#> 87 8.6 803.7054 3.937582e+02 3802.5364101
#> 88 8.7 794.0521 3.703109e+02 3835.6370249
#> 89 8.8 785.4861 3.481014e+02 3866.4125218
#> 90 8.9 777.9201 3.270920e+02 3894.9878513
#> 91 9.0 771.2746 3.072416e+02 3921.4838479
#> 92 9.1 765.4769 2.885062e+02 3946.0169197
#> 93 9.2 760.4611 2.708401e+02 3968.6988359
#> 94 9.3 756.1668 2.541966e+02 3989.6365965
#> 95 9.4 752.5390 2.385287e+02 4008.9323696
#> 96 9.5 749.5271 2.237894e+02 4026.6834856
#> 97 9.6 747.0852 2.099323e+02 4042.9824762
#> 98 9.7 745.1710 1.969118e+02 4057.9171510
#> 99 9.8 743.7458 1.846835e+02 4071.5707024
#> 100 9.9 742.7739 1.732042e+02 4084.0218338
#> 101 10.0 742.2228 1.624323e+02 4095.3449045
#> 102 10.1 742.0623 1.523276e+02 4105.6100871
#> 103 10.2 742.2648 1.428517e+02 4114.8835338
#> 104 10.3 742.8047 1.339677e+02 4123.2275477
#> 105 10.4 743.6586 1.256407e+02 4130.7007573
#> 106 10.5 744.8046 1.178371e+02 4137.3582912
#> 107 10.6 746.2228 1.105253e+02 4143.2519513
#> 108 10.7 747.8944 1.036752e+02 4148.4303843
#> 109 10.8 749.8024 9.725838e+01 4152.9392487
#> 110 10.9 751.9307 9.124792e+01 4156.8213773
#> 111 11.0 754.2646 8.561846e+01 4160.1169347
#> 112 11.1 756.7904 8.034607e+01 4162.8635691
#> 113 11.2 759.4952 7.540822e+01 4165.0965576
#> 114 11.3 762.3673 7.078371e+01 4166.8489457
#> 115 11.4 765.3957 6.645260e+01 4168.1516805
#> 116 11.5 768.5701 6.239619e+01 4169.0337371
#> 117 11.6 771.8809 5.859689e+01 4169.5222389
#> 118 11.7 775.3192 5.503821e+01 4169.6425718
#> 119 11.8 778.8768 5.170471e+01 4169.4184920
#> 120 11.9 782.5459 4.858188e+01 4168.8722284
#> 121 12.0 786.3193 4.565616e+01 4168.0245782
#> 122 12.1 790.1902 4.291483e+01 4166.8949983
#> 123 12.2 794.1523 4.034600e+01 4165.5016907
#> 124 12.3 798.1998 3.793854e+01 4163.8616822
#> 125 12.4 802.3271 3.568202e+01 4161.9909009
#> 126 12.5 806.5290 3.356671e+01 4159.9042463
#> 127 12.6 810.8009 3.158349e+01 4157.6156567
#> 128 12.7 815.1380 2.972384e+01 4155.1381709
#> 129 12.8 819.5362 2.797979e+01 4152.4839869
#> 130 12.9 823.9916 2.634391e+01 4149.6645170
#> 131 13.0 828.5003 2.480923e+01 4146.6904387
#> 132 13.1 833.0590 2.336926e+01 4143.5717431
#> 133 13.2 837.6643 2.201790e+01 4140.3177793
#> 134 13.3 842.3132 2.074949e+01 4136.9372970
#> 135 13.4 847.0028 1.955872e+01 4133.4384854
#> 136 13.5 851.7304 1.844062e+01 4129.8290100
#> 137 13.6 856.4934 1.739057e+01 4126.1160468
#> 138 13.7 861.2895 1.640423e+01 4122.3063147
#> 139 13.8 866.1163 1.547756e+01 4118.4061050
#> 140 13.9 870.9719 1.460676e+01 4114.4213098
#> 141 14.0 875.8542 1.378832e+01 4110.3574477
#> 142 14.1 880.7614 1.301892e+01 4106.2196884
#> 143 14.2 885.6916 1.229548e+01 4102.0128756
#> 144 14.3 890.6433 1.161511e+01 4097.7415479
#> 145 14.4 895.6149 1.097511e+01 4093.4099590
#> 146 14.5 900.6049 1.037295e+01 4089.0220961
#> 147 14.6 905.6120 9.806289e+00 4084.5816972
#> 148 14.7 910.6348 9.272905e+00 4080.0922671
#> 149 14.8 915.6722 8.770739e+00 4075.5570929
#> 150 14.9 920.7229 8.297859e+00 4070.9792576
#> 151 15.0 925.7859 7.852460e+00 4066.3616536
#> 152 15.1 930.8602 7.432852e+00 4061.7069946
#> 153 15.2 935.9447 7.037453e+00 4057.0178275
#> 154 15.3 941.0387 6.664784e+00 4052.2965428
#> 155 15.4 946.1412 6.313459e+00 4047.5453848
#> 156 15.5 951.2514 5.982181e+00 4042.7664607
#> 157 15.6 956.3685 5.669734e+00 4037.9617495
#> 158 15.7 961.4919 5.374983e+00 4033.1331100
#> 159 15.8 966.6209 5.096861e+00 4028.2822886
#> 160 15.9 971.7547 4.834371e+00 4023.4109263
#> 161 16.0 976.8929 4.586576e+00 4018.5205652
#> 162 16.1 982.0347 4.352601e+00 4013.6126550
#> 163 16.2 987.1798 4.131624e+00 4008.6885587
#> 164 16.3 992.3276 3.922876e+00 4003.7495579
#> 165 16.4 997.4775 3.725633e+00 3998.7968580
#> 166 16.5 1002.6292 3.539219e+00 3993.8315927
#> 167 16.6 1007.7822 3.362999e+00 3988.8548290
#> 168 16.7 1012.9361 3.196376e+00 3983.8675708
#> 169 16.8 1018.0904 3.038792e+00 3978.8707629
#> 170 16.9 1023.2450 2.889721e+00 3973.8652947
#> 171 17.0 1028.3993 2.748672e+00 3968.8520038
#> 172 17.1 1033.5531 2.615181e+00 3963.8316788
#> 173 17.2 1038.7061 2.488814e+00 3958.8050624
#> 174 17.3 1043.8580 2.369164e+00 3953.7728545
#> 175 17.4 1049.0084 2.255847e+00 3948.7357143
#> 176 17.5 1054.1572 2.148503e+00 3943.6942630
#> 177 17.6 1059.3041 2.046794e+00 3938.6490863
#> 178 17.7 1064.4489 1.950401e+00 3933.6007362
#> 179 17.8 1069.5912 1.859026e+00 3928.5497330
#> 180 17.9 1074.7310 1.772387e+00 3923.4965676
#> 181 18.0 1079.8681 1.690221e+00 3918.4417028
#> 182 18.1 1085.0021 1.612277e+00 3913.3855752
#> 183 18.2 1090.1331 1.538323e+00 3908.3285967
#> 184 18.3 1095.2607 1.468137e+00 3903.2711559
#> 185 18.4 1100.3849 1.401512e+00 3898.2136197
#> 186 18.5 1105.5054 1.338254e+00 3893.1563342
#> 187 18.6 1110.6222 1.278178e+00 3888.0996261
#> 188 18.7 1115.7351 1.221111e+00 3883.0438041
#> 189 18.8 1120.8440 1.166891e+00 3877.9891593
#> 190 18.9 1125.9487 1.115362e+00 3872.9359668
#> 191 19.0 1131.0491 1.066381e+00 3867.8844866
#> 192 19.1 1136.1452 1.019811e+00 3862.8349639
#> 193 19.2 1141.2368 9.755230e-01 3857.7876306
#> 194 19.3 1146.3239 9.333959e-01 3852.7427058
#> 195 19.4 1151.4063 8.933151e-01 3847.7003963
#> 196 19.5 1156.4839 8.551726e-01 3842.6608978
#> 197 19.6 1161.5567 8.188665e-01 3837.6243950
#> 198 19.7 1166.6246 7.843005e-01 3832.5910626
#> 199 19.8 1171.6876 7.513840e-01 3827.5610658
#> 200 19.9 1176.7454 7.200310e-01 3822.5345605
#> 201 20.0 1181.7981 6.901608e-01 3817.5116943
#> 202 20.1 1186.8457 6.616967e-01 3812.4926066
#> 203 20.2 1191.8880 6.345667e-01 3807.4774294
#> 204 20.3 1196.9250 6.087024e-01 3802.4662872
#> 205 20.4 1201.9567 5.840392e-01 3797.4592979
#> 206 20.5 1206.9829 5.605163e-01 3792.4565730
#> 207 20.6 1212.0037 5.380759e-01 3787.4582178
#> 208 20.7 1217.0190 5.166636e-01 3782.4643319
#> 209 20.8 1222.0288 4.962277e-01 3777.4750095
#> 210 20.9 1227.0329 4.767194e-01 3772.4903396
#> 211 21.0 1232.0315 4.580926e-01 3767.5104064
#> 212 21.1 1237.0244 4.403036e-01 3762.5352895
#> 213 21.2 1242.0116 4.233110e-01 3757.5650641
#> 214 21.3 1246.9931 4.070756e-01 3752.5998012
#> 215 21.4 1251.9689 3.915603e-01 3747.6395681
#> 216 21.5 1256.9388 3.767301e-01 3742.6844283
#> 217 21.6 1261.9030 3.625516e-01 3737.7344418
#> 218 21.7 1266.8613 3.489932e-01 3732.7896651
#> 219 21.8 1271.8138 3.360252e-01 3727.8501520
#> 220 21.9 1276.7604 3.236191e-01 3722.9159528
#> 221 22.0 1281.7011 3.117481e-01 3717.9871154
#> 222 22.1 1286.6359 3.003866e-01 3713.0636847
#> 223 22.2 1291.5648 2.895107e-01 3708.1457033
#> 224 22.3 1296.4877 2.790972e-01 3703.2332113
#> 225 22.4 1301.4046 2.691245e-01 3698.3262464
#> 226 22.5 1306.3156 2.595719e-01 3693.4248444
#> 227 22.6 1311.2205 2.504199e-01 3688.5290387
#> 228 22.7 1316.1195 2.416497e-01 3683.6388611
#> 229 22.8 1321.0124 2.332438e-01 3678.7543413
#> 230 22.9 1325.8993 2.251853e-01 3673.8755074
#> 231 23.0 1330.7802 2.174583e-01 3669.0023856
#> 232 23.1 1335.6550 2.100477e-01 3664.1350007
#> 233 23.2 1340.5237 2.029391e-01 3659.2733759
#> 234 23.3 1345.3863 1.961188e-01 3654.4175332
#> 235 23.4 1350.2429 1.895737e-01 3649.5674929
#> 236 23.5 1355.0934 1.832915e-01 3644.7232741
#> 237 23.6 1359.9378 1.772605e-01 3639.8848949
#> 238 23.7 1364.7762 1.714694e-01 3635.0523719
#> 239 23.8 1369.6084 1.659077e-01 3630.2257208
#> 240 23.9 1374.4345 1.605650e-01 3625.4049562
#> 241 24.0 1379.2545 1.554319e-01 3620.5900916
#> 242 24.1 1384.0684 1.504992e-01 3615.7811397
#> 243 24.2 1388.8761 1.457581e-01 3610.9781122
#> 244 24.3 1393.6778 1.412002e-01 3606.1810198
#> 245 24.4 1398.4733 1.368177e-01 3601.3898727
#> 246 24.5 1403.2627 1.326029e-01 3596.6046800
#> 247 24.6 1408.0460 1.285488e-01 3591.8254502
#> 248 24.7 1412.8232 1.246484e-01 3587.0521910
#> 249 24.8 1417.5942 1.208952e-01 3582.2849096
#> 250 24.9 1422.3591 1.172830e-01 3577.5236123
#> 251 25.0 1427.1179 1.138058e-01 3572.7683051
#> 252 25.1 1431.8705 1.104579e-01 3568.0189930
#> 253 25.2 1436.6171 1.072340e-01 3563.2756808
#> 254 25.3 1441.3575 1.041289e-01 3558.5383726
#> 255 25.4 1446.0918 1.011377e-01 3553.8070721
#> 256 25.5 1450.8200 9.825558e-02 3549.0817823
#> 257 25.6 1455.5420 9.547818e-02 3544.3625059
#> 258 25.7 1460.2580 9.280119e-02 3539.6492452
#> 259 25.8 1464.9678 9.022051e-02 3534.9420020
#> 260 25.9 1469.6715 8.773224e-02 3530.2407777
#> 261 26.0 1474.3691 8.533265e-02 3525.5455733
#> 262 26.1 1479.0606 8.301818e-02 3520.8563895
#> 263 26.2 1483.7460 8.078542e-02 3516.1732267
#> 264 26.3 1488.4253 7.863111e-02 3511.4960846
#> 265 26.4 1493.0985 7.655215e-02 3506.8249631
#> 266 26.5 1497.7656 7.454556e-02 3502.1598616
#> 267 26.6 1502.4266 7.260850e-02 3497.5007789
#> 268 26.7 1507.0815 7.073825e-02 3492.8477141
#> 269 26.8 1511.7304 6.893220e-02 3488.2006655
#> 270 26.9 1516.3732 6.718787e-02 3483.5596315
#> 271 27.0 1521.0099 6.550287e-02 3478.9246100
#> 272 27.1 1525.6405 6.387493e-02 3474.2955990
#> 273 27.2 1530.2651 6.230186e-02 3469.6725959
#> 274 27.3 1534.8836 6.078157e-02 3465.0555982
#> 275 27.4 1539.4961 5.931207e-02 3460.4446030
#> 276 27.5 1544.1025 5.789144e-02 3455.8396073
#> 277 27.6 1548.7029 5.651784e-02 3451.2406079
#> 278 27.7 1553.2972 5.518952e-02 3446.6476014
#> 279 27.8 1557.8855 5.390479e-02 3442.0605843
#> 280 27.9 1562.4678 5.266203e-02 3437.4795529
#> 281 28.0 1567.0440 5.145972e-02 3432.9045033
#> 282 28.1 1571.6143 5.029635e-02 3428.3354314
#> 283 28.2 1576.1785 4.917050e-02 3423.7723333
#> 284 28.3 1580.7367 4.808083e-02 3419.2152045
#> 285 28.4 1585.2889 4.702601e-02 3414.6640408
#> 286 28.5 1589.8352 4.600480e-02 3410.1188374
#> 287 28.6 1594.3754 4.501598e-02 3405.5795899
#> 288 28.7 1598.9096 4.405842e-02 3401.0462935
#> 289 28.8 1603.4379 4.313099e-02 3396.5189432
#> 290 28.9 1607.9602 4.223264e-02 3391.9975341
#> 291 29.0 1612.4766 4.136235e-02 3387.4820613
#> 292 29.1 1616.9870 4.051913e-02 3382.9725194
#> 293 29.2 1621.4914 3.970206e-02 3378.4689033
#> 294 29.3 1625.9899 3.891021e-02 3373.9712076
#> 295 29.4 1630.4824 3.814273e-02 3369.4794269
#> 296 29.5 1634.9690 3.739878e-02 3364.9935558
#> 297 29.6 1639.4497 3.667757e-02 3360.5135887
#> 298 29.7 1643.9245 3.597831e-02 3356.0395199
#> 299 29.8 1648.3934 3.530028e-02 3351.5713437
#> 300 29.9 1652.8563 3.464277e-02 3347.1090544
#> 301 30.0 1657.3133 3.400508e-02 3342.6526462
#> 302 30.1 1661.7645 3.338656e-02 3338.2021131
#> 303 30.2 1666.2098 3.278659e-02 3333.7574492
#> 304 30.3 1670.6491 3.220455e-02 3329.3186485
#> 305 30.4 1675.0827 3.163986e-02 3324.8857050
#> 306 30.5 1679.5103 3.109196e-02 3320.4586126
#> 307 30.6 1683.9321 3.056031e-02 3316.0373650
#> 308 30.7 1688.3480 3.004438e-02 3311.6219563
#> 309 30.8 1692.7581 2.954369e-02 3307.2123800
#> 310 30.9 1697.1623 2.905774e-02 3302.8086299
#> 311 31.0 1701.5607 2.858607e-02 3298.4106997
#> 312 31.1 1705.9533 2.812824e-02 3294.0185831
#> 313 31.2 1710.3400 2.768382e-02 3289.6322737
#> 314 31.3 1714.7210 2.725239e-02 3285.2517650
#> 315 31.4 1719.0961 2.683356e-02 3280.8770506
#> 316 31.5 1723.4654 2.642694e-02 3276.5081241
#> 317 31.6 1727.8290 2.603217e-02 3272.1449788
#> 318 31.7 1732.1867 2.564889e-02 3267.7876084
#> 319 31.8 1736.5387 2.527675e-02 3263.4360061
#> 320 31.9 1740.8849 2.491543e-02 3259.0901655
#> 321 32.0 1745.2254 2.456461e-02 3254.7500799
#> 322 32.1 1749.5600 2.422398e-02 3250.4157427
#> 323 32.2 1753.8890 2.389325e-02 3246.0871472
#> 324 32.3 1758.2121 2.357213e-02 3241.7642867
#> 325 32.4 1762.5296 2.326036e-02 3237.4471546
#> 326 32.5 1766.8413 2.295766e-02 3233.1357441
#> 327 32.6 1771.1473 2.266378e-02 3228.8300486
#> 328 32.7 1775.4476 2.237847e-02 3224.5300612
#> 329 32.8 1779.7421 2.210151e-02 3220.2357752
#> 330 32.9 1784.0310 2.183266e-02 3215.9471838
#> 331 33.0 1788.3141 2.157170e-02 3211.6642803
#> 332 33.1 1792.5916 2.131842e-02 3207.3870578
#> 333 33.2 1796.8634 2.107262e-02 3203.1155095
#> 334 33.3 1801.1295 2.083410e-02 3198.8496287
#> 335 33.4 1805.3900 2.060267e-02 3194.5894084
#> 336 33.5 1809.6448 2.037815e-02 3190.3348418
#> 337 33.6 1813.8939 2.016036e-02 3186.0859222
#> 338 33.7 1818.1374 1.994914e-02 3181.8426425
#> 339 33.8 1822.3753 1.974431e-02 3177.6049960
#> 340 33.9 1826.6075 1.954573e-02 3173.3729758
#> 341 34.0 1830.8341 1.935323e-02 3169.1465749
#> 342 34.1 1835.0550 1.916668e-02 3164.9257866
#> 343 34.2 1839.2704 1.898593e-02 3160.7106038
#> 344 34.3 1843.4802 1.881085e-02 3156.5010198
#> 345 34.4 1847.6843 1.864130e-02 3152.2970277
#> 346 34.5 1851.8829 1.847716e-02 3148.0986204
#> 347 34.6 1856.0759 1.831831e-02 3143.9057911
#> 348 34.7 1860.2633 1.816463e-02 3139.7185330
#> 349 34.8 1864.4451 1.801601e-02 3135.5368390
#> 350 34.9 1868.6214 1.787233e-02 3131.3607023
#> 351 35.0 1872.7922 1.773351e-02 3127.1901160
#> 352 35.1 1876.9573 1.759943e-02 3123.0250731
#> 353 35.2 1881.1170 1.747000e-02 3118.8655667
#> 354 35.3 1885.2711 1.734512e-02 3114.7115899
#> 355 35.4 1889.4196 1.722472e-02 3110.5631358
#> 356 35.5 1893.5627 1.710869e-02 3106.4201975
#> 357 35.6 1897.7002 1.699697e-02 3102.2827681
#> 358 35.7 1901.8323 1.688946e-02 3098.1508406
#> 359 35.8 1905.9588 1.678610e-02 3094.0244081
#> 360 35.9 1910.0798 1.668682e-02 3089.9034637
#> 361 36.0 1914.1954 1.659153e-02 3085.7880006
#> 362 36.1 1918.3055 1.650019e-02 3081.6780117
#> 363 36.2 1922.4101 1.641271e-02 3077.5734903
#> 364 36.3 1926.5092 1.632905e-02 3073.4744293
#> 365 36.4 1930.6029 1.624915e-02 3069.3808220
#> 366 36.5 1934.6912 1.617294e-02 3065.2926613
#> 367 36.6 1938.7740 1.610038e-02 3061.2099405
#> 368 36.7 1942.8513 1.603141e-02 3057.1326526
#> 369 36.8 1946.9232 1.596600e-02 3053.0607908
#> 370 36.9 1950.9897 1.590408e-02 3048.9943481
#> 371 37.0 1955.0508 1.584562e-02 3044.9333177
#> 372 37.1 1959.1065 1.579059e-02 3040.8776927
#> 373 37.2 1963.1568 1.573893e-02 3036.8274663
#> 374 37.3 1967.2017 1.569062e-02 3032.7826316
#> 375 37.4 1971.2412 1.564562e-02 3028.7431818
#> 376 37.5 1975.2753 1.560389e-02 3024.7091100
#> 377 37.6 1979.3040 1.556542e-02 3020.6804094
#> 378 37.7 1983.3274 1.553016e-02 3016.6570731
#> 379 37.8 1987.3454 1.549810e-02 3012.6390943
#> 380 37.9 1991.3581 1.546921e-02 3008.6264662
#> 381 38.0 1995.3654 1.544347e-02 3004.6191819
#> 382 38.1 1999.3673 1.542087e-02 3000.6172348
#> 383 38.2 2003.3640 1.540137e-02 2996.6206179
#> 384 38.3 2007.3553 1.538497e-02 2992.6293245
#> 385 38.4 2011.3413 1.537166e-02 2988.6433477
#> 386 38.5 2015.3220 1.536141e-02 2984.6626809
#> 387 38.6 2019.2973 1.535423e-02 2980.6873173
#> 388 38.7 2023.2674 1.535009e-02 2976.7172500
#> 389 38.8 2027.2322 1.534901e-02 2972.7524724
#> 390 38.9 2031.1917 1.535096e-02 2968.7929776
#> 391 39.0 2035.1459 1.535595e-02 2964.8387591
#> 392 39.1 2039.0948 1.536398e-02 2960.8898099
#> 393 39.2 2043.0385 1.537505e-02 2956.9461235
#> 394 39.3 2046.9769 1.538915e-02 2953.0076930
#> 395 39.4 2050.9101 1.540630e-02 2949.0745119
#> 396 39.5 2054.8380 1.542651e-02 2945.1465733
#> 397 39.6 2058.7607 1.544977e-02 2941.2238708
#> 398 39.7 2062.6781 1.547609e-02 2937.3063974
#> 399 39.8 2066.5903 1.550550e-02 2933.3941467
#> 400 39.9 2070.4974 1.553800e-02 2929.4871119
#> 401 40.0 2074.3991 1.557361e-02 2925.5852865
#> 402 40.1 2078.2957 1.561234e-02 2921.6886637
#> 403 40.2 2082.1871 1.565422e-02 2917.7972369
#> 404 40.3 2086.0733 1.569926e-02 2913.9109997
#> 405 40.4 2089.9543 1.574749e-02 2910.0299453
#> 406 40.5 2093.8301 1.579894e-02 2906.1540671
#> 407 40.6 2097.7008 1.585361e-02 2902.2833587
#> 408 40.7 2101.5663 1.591156e-02 2898.4178134
#> 409 40.8 2105.4266 1.597280e-02 2894.5574247
#> 410 40.9 2109.2818 1.603737e-02 2890.7021860
#> 411 41.0 2113.1318 1.610531e-02 2886.8520908
#> 412 41.1 2116.9767 1.617664e-02 2883.0071326
#> 413 41.2 2120.8164 1.625141e-02 2879.1673049
#> 414 41.3 2124.6511 1.632966e-02 2875.3326013
#> 415 41.4 2128.4806 1.641143e-02 2871.5030151
#> 416 41.5 2132.3050 1.649677e-02 2867.6785400
#> 417 41.6 2136.1242 1.658572e-02 2863.8591695
#> 418 41.7 2139.9384 1.667833e-02 2860.0448972
#> 419 41.8 2143.7475 1.677465e-02 2856.2357167
#> 420 41.9 2147.5515 1.687474e-02 2852.4316214
#> 421 42.0 2151.3504 1.697866e-02 2848.6326052
#> 422 42.1 2155.1443 1.708646e-02 2844.8386614
#> 423 42.2 2158.9330 1.719820e-02 2841.0497839
#> 424 42.3 2162.7167 1.731396e-02 2837.2659662
#> 425 42.4 2166.4954 1.743378e-02 2833.4872020
#> 426 42.5 2170.2690 1.755775e-02 2829.7134850
#> 427 42.6 2174.0375 1.768594e-02 2825.9448088
#> 428 42.7 2177.8010 1.781842e-02 2822.1811673
#> 429 42.8 2181.5595 1.795527e-02 2818.4225540
#> 430 42.9 2185.3129 1.809656e-02 2814.6689627
#> 431 43.0 2189.0614 1.824239e-02 2810.9203873
#> 432 43.1 2192.8048 1.839284e-02 2807.1768215
#> 433 43.2 2196.5432 1.854799e-02 2803.4382590
#> 434 43.3 2200.2766 1.870796e-02 2799.7046936
#> 435 43.4 2204.0050 1.887282e-02 2795.9761193
#> 436 43.5 2207.7284 1.904268e-02 2792.2525298
#> 437 43.6 2211.4469 1.921764e-02 2788.5339191
#> 438 43.7 2215.1603 1.939782e-02 2784.8202809
#> 439 43.8 2218.8688 1.958332e-02 2781.1116092
#> 440 43.9 2222.5723 1.977425e-02 2777.4078979
#> 441 44.0 2226.2709 1.997075e-02 2773.7091409
#> 442 44.1 2229.9645 2.017292e-02 2770.0153323
#> 443 44.2 2233.6532 2.038090e-02 2766.3264660
#> 444 44.3 2237.3369 2.059482e-02 2762.6425359
#> 445 44.4 2241.0156 2.081482e-02 2758.9635362
#> 446 44.5 2244.6895 2.104103e-02 2755.2894608
#> 447 44.6 2248.3584 2.127361e-02 2751.6203039
#> 448 44.7 2252.0224 2.151270e-02 2747.9560594
#> 449 44.8 2255.6815 2.175846e-02 2744.2967216
#> 450 44.9 2259.3357 2.201106e-02 2740.6422846
#> 451 45.0 2262.9850 2.227065e-02 2736.9927425
#> 452 45.1 2266.6294 2.253741e-02 2733.3480895
#> 453 45.2 2270.2689 2.281152e-02 2729.7083198
#> 454 45.3 2273.9035 2.309317e-02 2726.0734277
#> 455 45.4 2277.5332 2.338254e-02 2722.4434074
#> 456 45.5 2281.1581 2.367982e-02 2718.8182532
#> 457 45.6 2284.7781 2.398524e-02 2715.1979594
#> 458 45.7 2288.3932 2.429898e-02 2711.5825205
#> 459 45.8 2292.0034 2.462128e-02 2707.9719306
#> 460 45.9 2295.6089 2.495235e-02 2704.3661844
#> 461 46.0 2299.2094 2.529243e-02 2700.7652761
#> 462 46.1 2302.8052 2.564176e-02 2697.1692003
#> 463 46.2 2306.3960 2.600058e-02 2693.5779514
#> 464 46.3 2309.9821 2.636916e-02 2689.9915240
#> 465 46.4 2313.5633 2.674775e-02 2686.4099127
#> 466 46.5 2317.1398 2.713664e-02 2682.8331120
#> 467 46.6 2320.7113 2.753609e-02 2679.2611166
#> 468 46.7 2324.2781 2.794642e-02 2675.6939212
#> 469 46.8 2327.8401 2.836791e-02 2672.1315204
#> 470 46.9 2331.3973 2.880089e-02 2668.5739090
#> 471 47.0 2334.9497 2.924567e-02 2665.0210817
#> 472 47.1 2338.4973 2.970260e-02 2661.4730335
#> 473 47.2 2342.0401 3.017201e-02 2657.9297591
#> 474 47.3 2345.5781 3.065426e-02 2654.3912535
#> 475 47.4 2349.1113 3.114973e-02 2650.8575116
#> 476 47.5 2352.6398 3.165880e-02 2647.3285284
#> 477 47.6 2356.1635 3.218186e-02 2643.8042990
#> 478 47.7 2359.6825 3.271932e-02 2640.2848184
#> 479 47.8 2363.1966 3.327161e-02 2636.7700817
#> 480 47.9 2366.7061 3.383916e-02 2633.2600842
#> 481 48.0 2370.2108 3.442243e-02 2629.7548211
#> 482 48.1 2373.7107 3.502188e-02 2626.2542876
#> 483 48.2 2377.2059 3.563801e-02 2622.7584791
#> 484 48.3 2380.6963 3.627130e-02 2619.2673911
#> 485 48.4 2384.1821 3.692229e-02 2615.7810189
#> 486 48.5 2387.6631 3.759151e-02 2612.2993580
#> 487 48.6 2391.1393 3.827952e-02 2608.8224041
#> 488 48.7 2394.6109 3.898689e-02 2605.3501527
#> 489 48.8 2398.0777 3.971422e-02 2601.8825996
#> 490 48.9 2401.5398 4.046213e-02 2598.4197406
#> 491 49.0 2404.9972 4.123126e-02 2594.9615714
#> 492 49.1 2408.4499 4.202226e-02 2591.5080879
#> 493 49.2 2411.8979 4.283583e-02 2588.0592862
#> 494 49.3 2415.3412 4.367267e-02 2584.6151624
#> 495 49.4 2418.7798 4.453353e-02 2581.1757124
#> 496 49.5 2422.2136 4.541915e-02 2577.7409326
#> 497 49.6 2425.6429 4.633033e-02 2574.3108192
#> 498 49.7 2429.0674 4.726790e-02 2570.8853686
#> 499 49.8 2432.4872 4.823268e-02 2567.4645773
#> 500 49.9 2435.9023 4.922558e-02 2564.0484418
#> 501 50.0 2439.3128 5.024748e-02 2560.6369588
#> 502 50.1 2442.7186 5.129934e-02 2557.2301250
#> 503 50.2 2446.1197 5.238213e-02 2553.8279373
#> 504 50.3 2449.5161 5.349687e-02 2550.4303926
#> 505 50.4 2452.9079 5.464460e-02 2547.0374880
#> 506 50.5 2456.2950 5.582641e-02 2543.6492206
#> 507 50.6 2459.6774 5.704344e-02 2540.2655878
#> 508 50.7 2463.0551 5.829685e-02 2536.8865869
#> 509 50.8 2466.4282 5.958786e-02 2533.5122155
#> 510 50.9 2469.7966 6.091773e-02 2530.1424711
#> 511 51.0 2473.1604 6.228775e-02 2526.7773517
#> 512 51.1 2476.5194 6.369929e-02 2523.4168551
#> 513 51.2 2479.8739 6.515376e-02 2520.0609793
#> 514 51.3 2483.2236 6.665260e-02 2516.7097227
#> 515 51.4 2486.5687 6.819734e-02 2513.3630834
#> 516 51.5 2489.9092 6.978955e-02 2510.0210601
#> 517 51.6 2493.2449 7.143085e-02 2506.6836514
#> 518 51.7 2496.5760 7.312293e-02 2503.3508562
#> 519 51.8 2499.9025 7.486756e-02 2500.0226734
#> 520 51.9 2503.2242 7.666655e-02 2496.6991023
#> 521 52.0 2506.5413 7.852180e-02 2493.3801423
#> 522 52.1 2509.8538 8.043528e-02 2490.0657929
#> 523 52.2 2513.1615 8.240902e-02 2486.7560538
#> 524 52.3 2516.4646 8.444516e-02 2483.4509252
#> 525 52.4 2519.7630 8.654588e-02 2480.1504072
#> 526 52.5 2523.0568 8.871348e-02 2476.8545001
#> 527 52.6 2526.3458 9.095034e-02 2473.5632048
#> 528 52.7 2529.6302 9.325892e-02 2470.2765220
#> 529 52.8 2532.9099 9.564179e-02 2466.9944529
#> 530 52.9 2536.1849 9.810163e-02 2463.7169990
#> 531 53.0 2539.4552 1.006412e-01 2460.4441619
#> 532 53.1 2542.7208 1.032634e-01 2457.1759435
#> 533 53.2 2545.9817 1.059712e-01 2453.9123462
#> 534 53.3 2549.2379 1.087677e-01 2450.6533724
#> 535 53.4 2552.4893 1.116561e-01 2447.3990251
#> 536 53.5 2555.7361 1.146399e-01 2444.1493073
#> 537 53.6 2558.9781 1.177226e-01 2440.9042228
#> 538 53.7 2562.2153 1.209077e-01 2437.6637753
#> 539 53.8 2565.4478 1.241991e-01 2434.4279691
#> 540 53.9 2568.6756 1.276006e-01 2431.1968088
#> 541 54.0 2571.8986 1.311165e-01 2427.9702995
#> 542 54.1 2575.1168 1.347510e-01 2424.7484465
#> 543 54.2 2578.3302 1.385085e-01 2421.5312558
#> 544 54.3 2581.5389 1.423936e-01 2418.3187337
#> 545 54.4 2584.7427 1.464111e-01 2415.1108869
#> 546 54.5 2587.9417 1.505661e-01 2411.9077227
#> 547 54.6 2591.1359 1.548638e-01 2408.7092489
#> 548 54.7 2594.3252 1.593096e-01 2405.5154737
#> 549 54.8 2597.5097 1.639091e-01 2402.3264059
#> 550 54.9 2600.6893 1.686682e-01 2399.1420550
#> 551 55.0 2603.8640 1.735931e-01 2395.9624308
#> 552 55.1 2607.0338 1.786901e-01 2392.7875441
#> 553 55.2 2610.1986 1.839659e-01 2389.6174059
#> 554 55.3 2613.3585 1.894275e-01 2386.4520282
#> 555 55.4 2616.5135 1.950819e-01 2383.2914236
#> 556 55.5 2619.6635 2.009369e-01 2380.1356054
#> 557 55.6 2622.8084 2.070001e-01 2376.9845875
#> 558 55.7 2625.9483 2.132798e-01 2373.8383849
#> 559 55.8 2629.0832 2.197845e-01 2370.6970131
#> 560 55.9 2632.2130 2.265230e-01 2367.5604887
#> 561 56.0 2635.3377 2.335046e-01 2364.4288290
#> 562 56.1 2638.4572 2.407390e-01 2361.3020524
#> 563 56.2 2641.5716 2.482362e-01 2358.1801780
#> 564 56.3 2644.6808 2.560068e-01 2355.0632261
#> 565 56.4 2647.7847 2.640615e-01 2351.9512180
#> 566 56.5 2650.8834 2.724120e-01 2348.8441761
#> 567 56.6 2653.9768 2.810700e-01 2345.7421239
#> 568 56.7 2657.0649 2.900480e-01 2342.6450862
#> 569 56.8 2660.1476 2.993590e-01 2339.5530888
#> 570 56.9 2663.2248 3.090164e-01 2336.4661591
#> 571 57.0 2666.2966 3.190345e-01 2333.3843255
#> 572 57.1 2669.3630 3.294279e-01 2330.3076180
#> 573 57.2 2672.4237 3.402119e-01 2327.2360681
#> 574 57.3 2675.4789 3.514027e-01 2324.1697088
#> 575 57.4 2678.5284 3.630171e-01 2321.1085746
#> 576 57.5 2681.5722 3.750724e-01 2318.0527017
#> 577 57.6 2684.6103 3.875870e-01 2315.0021281
#> 578 57.7 2687.6425 4.005799e-01 2311.9568937
#> 579 57.8 2690.6689 4.140712e-01 2308.9170400
#> 580 57.9 2693.6893 4.280814e-01 2305.8826107
#> 581 58.0 2696.7037 4.426326e-01 2302.8536515
#> 582 58.1 2699.7120 4.577472e-01 2299.8302104
#> 583 58.2 2702.7142 4.734491e-01 2296.8123375
#> 584 58.3 2705.7102 4.897631e-01 2293.8000853
#> 585 58.4 2708.6998 5.067150e-01 2290.7935086
#> 586 58.5 2711.6830 5.243319e-01 2287.7926652
#> 587 58.6 2714.6597 5.426422e-01 2284.7976151
#> 588 58.7 2717.6299 5.616754e-01 2281.8084215
#> 589 58.8 2720.5934 5.814625e-01 2278.8251502
#> 590 58.9 2723.5501 6.020357e-01 2275.8478704
#> 591 59.0 2726.4999 6.234288e-01 2272.8766544
#> 592 59.1 2729.4427 6.456773e-01 2269.9115776
#> 593 59.2 2732.3785 6.688181e-01 2266.9527193
#> 594 59.3 2735.3069 6.928898e-01 2264.0001622
#> 595 59.4 2738.2281 7.179328e-01 2261.0539930
#> 596 59.5 2741.1417 7.439895e-01 2258.1143023
#> 597 59.6 2744.0477 7.711041e-01 2255.1811851
#> 598 59.7 2746.9459 7.993229e-01 2252.2547405
#> 599 59.8 2749.8362 8.286942e-01 2249.3350724
#> 600 59.9 2752.7184 8.592688e-01 2246.4222895
#> 601 60.0 2755.5924 8.910996e-01 2243.5165055
#> 602 60.1 2758.4579 9.242422e-01 2240.6178393
#> 603 60.2 2761.3148 9.587547e-01 2237.7264155
#> 604 60.3 2764.1629 9.946977e-01 2234.8423642
#> 605 60.4 2767.0020 1.032135e+00 2231.9658219
#> 606 60.5 2769.8319 1.071133e+00 2229.0969310
#> 607 60.6 2772.6524 1.111762e+00 2226.2358409
#> 608 60.7 2775.4632 1.154094e+00 2223.3827076
#> 609 60.8 2778.2641 1.198206e+00 2220.5376948
#> 610 60.9 2781.0548 1.244178e+00 2217.7009733
#> 611 61.0 2783.8352 1.292094e+00 2214.8727221
#> 612 61.1 2786.6048 1.342041e+00 2212.0531286
#> 613 61.2 2789.3635 1.394112e+00 2209.2423888
#> 614 61.3 2792.1109 1.448402e+00 2206.4407079
#> 615 61.4 2794.8467 1.505013e+00 2203.6483006
#> 616 61.5 2797.5706 1.564050e+00 2200.8653917
#> 617 61.6 2800.2822 1.625624e+00 2198.0922166
#> 618 61.7 2802.9811 1.689851e+00 2195.3290213
#> 619 61.8 2805.6671 1.756851e+00 2192.5760639
#> 620 61.9 2808.3396 1.826753e+00 2189.8336141
#> 621 62.0 2810.9984 1.899689e+00 2187.1019546
#> 622 62.1 2813.6428 1.975799e+00 2184.3813810
#> 623 62.2 2816.2726 2.055230e+00 2181.6722030
#> 624 62.3 2818.8871 2.138134e+00 2178.9747449
#> 625 62.4 2821.4860 2.224672e+00 2176.2893462
#> 626 62.5 2824.0686 2.315012e+00 2173.6163623
#> 627 62.6 2826.6345 2.409332e+00 2170.9561653
#> 628 62.7 2829.1830 2.507814e+00 2168.3091450
#> 629 62.8 2831.7136 2.610654e+00 2165.6757096
#> 630 62.9 2834.2257 2.718053e+00 2163.0562863
#> 631 63.0 2836.7185 2.830225e+00 2160.4513228
#> 632 63.1 2839.1913 2.947392e+00 2157.8612877
#> 633 63.2 2841.6435 3.069788e+00 2155.2866718
#> 634 63.3 2844.0744 3.197656e+00 2152.7279894
#> 635 63.4 2846.4830 3.331254e+00 2150.1857787
#> 636 63.5 2848.8685 3.470849e+00 2147.6606038
#> 637 63.6 2851.2302 3.616724e+00 2145.1530551
#> 638 63.7 2853.5671 3.769172e+00 2142.6637513
#> 639 63.8 2855.8782 3.928502e+00 2140.1933404
#> 640 63.9 2858.1625 4.095038e+00 2137.7425010
#> 641 64.0 2860.4189 4.269118e+00 2135.3119438
#> 642 64.1 2862.6465 4.451098e+00 2132.9024134
#> 643 64.2 2864.8440 4.641348e+00 2130.5146895
#> 644 64.3 2867.0102 4.840257e+00 2128.1495890
#> 645 64.4 2869.1438 5.048234e+00 2125.8079672
#> 646 64.5 2871.2436 5.265705e+00 2123.4907202
#> 647 64.6 2873.3081 5.493116e+00 2121.1987864
#> 648 64.7 2875.3359 5.730934e+00 2118.9331485
#> 649 64.8 2877.3255 5.979650e+00 2116.6948359
#> 650 64.9 2879.2753 6.239773e+00 2114.4849265
#> 651 65.0 2881.1836 6.511840e+00 2112.3045491
#> 652 65.1 2883.0487 6.796412e+00 2110.1548856
#> 653 65.2 2884.8688 7.094073e+00 2108.0371738
#> 654 65.3 2886.6419 7.405435e+00 2105.9527096
#> 655 65.4 2888.3660 7.731140e+00 2103.9028496
#> 656 65.5 2890.0391 8.071855e+00 2101.8890142
#> 657 65.6 2891.6590 8.428279e+00 2099.9126901
#> 658 65.7 2893.2234 8.801143e+00 2097.9754335
#> 659 65.8 2894.7299 9.191208e+00 2096.0788729
#> 660 65.9 2896.1760 9.599269e+00 2094.2247124
#> 661 66.0 2897.5591 1.002616e+01 2092.4147353
#> 662 66.1 2898.8765 1.047273e+01 2090.6508068
#> 663 66.2 2900.1252 1.093990e+01 2088.9348782
#> 664 66.3 2901.3024 1.142861e+01 2087.2689902
#> 665 66.4 2902.4049 1.193982e+01 2085.6552765
#> 666 66.5 2903.4295 1.247457e+01 2084.0959678
#> 667 66.6 2904.3727 1.303391e+01 2082.5933959
#> 668 66.7 2905.2311 1.361894e+01 2081.1499973
#> 669 66.8 2906.0009 1.423081e+01 2079.7683177
#> 670 66.9 2906.6783 1.487071e+01 2078.4510160
#> 671 67.0 2907.2593 1.553987e+01 2077.2008687
#> 672 67.1 2907.7397 1.623957e+01 2076.0207742
#> 673 67.2 2908.1151 1.697114e+01 2074.9137573
#> 674 67.3 2908.3811 1.773596e+01 2073.8829734
#> 675 67.4 2908.5329 1.853543e+01 2072.9317136
#> 676 67.5 2908.5656 1.937103e+01 2072.0634085
#> 677 67.6 2908.4741 2.024427e+01 2071.2816331
#> 678 67.7 2908.2532 2.115671e+01 2070.5901112
#> 679 67.8 2907.8973 2.210996e+01 2069.9927200
#> 680 67.9 2907.4008 2.310567e+01 2069.4934942
#> 681 68.0 2906.7578 2.414553e+01 2069.0966304
#> 682 68.1 2905.9622 2.523128e+01 2068.8064910
#> 683 68.2 2905.0077 2.636470e+01 2068.6276086
#> 684 68.3 2903.8877 2.754761e+01 2068.5646891
#> 685 68.4 2902.5955 2.878186e+01 2068.6226158
#> 686 68.5 2901.1242 3.006933e+01 2068.8064520
#> 687 68.6 2899.4666 3.141193e+01 2069.1214441
#> 688 68.7 2897.6154 3.281161e+01 2069.5730235
#> 689 68.8 2895.5629 3.427031e+01 2070.1668091
#> 690 68.9 2893.3014 3.579000e+01 2070.9086081
#> 691 69.0 2890.8229 3.737265e+01 2071.8044168
#> 692 69.1 2888.1193 3.902024e+01 2072.8604204
#> 693 69.2 2885.1823 4.073471e+01 2074.0829924
#> 694 69.3 2882.0033 4.251802e+01 2075.4786926
#> 695 69.4 2878.5737 4.437207e+01 2077.0542646
#> 696 69.5 2874.8846 4.629872e+01 2078.8166319
#> 697 69.6 2870.9273 4.829980e+01 2080.7728928
#> 698 69.7 2866.6926 5.037705e+01 2082.9303143
#> 699 69.8 2862.1715 5.253215e+01 2085.2963248
#> 700 69.9 2857.3548 5.476665e+01 2087.8785043
#> 701 70.0 2852.2334 5.708201e+01 2090.6845742
#> 702 70.1 2846.7981 5.947956e+01 2093.7223845
#> 703 70.2 2841.0396 6.196048e+01 2096.9998998
#> 704 70.3 2834.9491 6.452576e+01 2100.5251831
#> 705 70.4 2828.5174 6.717622e+01 2104.3063775
#> 706 70.5 2821.7359 6.991245e+01 2108.3516856
#> 707 70.6 2814.5958 7.273482e+01 2112.6693475
#> 708 70.7 2807.0890 7.564343e+01 2117.2676155
#> 709 70.8 2799.2072 7.863810e+01 2122.1547272
#> 710 70.9 2790.9428 8.171833e+01 2127.3388758
#> 711 71.0 2782.2885 8.488330e+01 2132.8281782
#> 712 71.1 2773.2375 8.813184e+01 2138.6306406
#> 713 71.2 2763.7835 9.146238e+01 2144.7541219
#> 714 71.3 2753.9207 9.487296e+01 2151.2062944
#> 715 71.4 2743.6442 9.836118e+01 2157.9946028
#> 716 71.5 2732.9496 1.019242e+02 2165.1262201
#> 717 71.6 2721.8333 1.055587e+02 2172.6080031
#> 718 71.7 2710.2926 1.092610e+02 2180.4464441
#> 719 71.8 2698.3258 1.130266e+02 2188.6476229
#> 720 71.9 2685.9320 1.168508e+02 2197.2171562
#> 721 72.0 2673.1116 1.207283e+02 2206.1601469
#> 722 72.1 2659.8657 1.246532e+02 2215.4811321
#> 723 72.2 2646.1969 1.286191e+02 2225.1840310
#> 724 72.3 2632.1088 1.326191e+02 2235.2720936
#> 725 72.4 2617.6063 1.366459e+02 2245.7478493
#> 726 72.5 2602.6956 1.406914e+02 2256.6130570
#> 727 72.6 2587.3841 1.447472e+02 2267.8686569
#> 728 72.7 2571.6807 1.488046e+02 2279.5147247
#> 729 72.8 2555.5955 1.528541e+02 2291.5504283
#> 730 72.9 2539.1399 1.568862e+02 2303.9739879
#> 731 73.0 2522.3267 1.608907e+02 2316.7826403
#> 732 73.1 2505.1700 1.648574e+02 2329.9726081
#> 733 73.2 2487.6853 1.687756e+02 2343.5390725
#> 734 73.3 2469.8892 1.726346e+02 2357.4761536
#> 735 73.4 2451.7996 1.764235e+02 2371.7768953
#> 736 73.5 2433.4354 1.801313e+02 2386.4332570
#> 737 73.6 2414.8168 1.837470e+02 2401.4361126
#> 738 73.7 2395.9649 1.872598e+02 2416.7752561
#> 739 73.8 2376.9016 1.906590e+02 2432.4394145
#> 740 73.9 2357.6498 1.939339e+02 2448.4162682
#> 741 74.0 2338.2330 1.970745e+02 2464.6924790
#> 742 74.1 2318.6754 2.000709e+02 2481.2537254
#> 743 74.2 2299.0015 2.029137e+02 2498.0847446
#> 744 74.3 2279.2365 2.055941e+02 2515.1693824
#> 745 74.4 2259.4056 2.081037e+02 2532.4906488
#> 746 74.5 2239.5342 2.104350e+02 2550.0307807
#> 747 74.6 2219.6477 2.125810e+02 2567.7713090
#> 748 74.7 2199.7714 2.145355e+02 2585.6931323
#> 749 74.8 2179.9303 2.162931e+02 2603.7765936
#> 750 74.9 2160.1493 2.178491e+02 2622.0015614
#> 751 75.0 2140.4526 2.191999e+02 2640.3475140
#> 752 75.1 2120.8639 2.203425e+02 2658.7936251
#> 753 75.2 2101.4062 2.212749e+02 2677.3188515
#> 754 75.3 2082.1019 2.219960e+02 2695.9020208
#> 755 75.4 2062.9725 2.225056e+02 2714.5219191
#> 756 75.5 2044.0384 2.228042e+02 2733.1573780
#> 757 75.6 2025.3194 2.228933e+02 2751.7873587
#> 758 75.7 2006.8339 2.227751e+02 2770.3910353
#> 759 75.8 1988.5995 2.224526e+02 2788.9478731
#> 760 75.9 1970.6327 2.219296e+02 2807.4377046
#> 761 76.0 1952.9486 2.212106e+02 2825.8408005
#> 762 76.1 1935.5614 2.203007e+02 2844.1379366
#> 763 76.2 1918.4840 2.192056e+02 2862.3104546
#> 764 76.3 1901.7282 2.179314e+02 2880.3403186
#> 765 76.4 1885.3048 2.164851e+02 2898.2101655
#> 766 76.5 1869.2230 2.148736e+02 2915.9033494
#> 767 76.6 1853.4914 2.131046e+02 2933.4039807
#> 768 76.7 1838.1172 2.111858e+02 2950.6969590
#> 769 76.8 1823.1066 2.091254e+02 2967.7679997
#> 770 76.9 1808.4647 2.069317e+02 2984.6036563
#> 771 77.0 1794.1957 2.046130e+02 3001.1913356
#> 772 77.1 1780.3028 2.021779e+02 3017.5193082
#> 773 77.2 1766.7884 1.996349e+02 3033.5767142
#> 774 77.3 1753.6538 1.969926e+02 3049.3535636
#> 775 77.4 1740.8997 1.942596e+02 3064.8407323
#> 776 77.5 1728.5259 1.914441e+02 3080.0299540
#> 777 77.6 1716.5316 1.885546e+02 3094.9138082
#> 778 77.7 1704.9152 1.855991e+02 3109.4857047
#> 779 77.8 1693.6746 1.825855e+02 3123.7398646
#> 780 77.9 1682.8071 1.795216e+02 3137.6712994
#> 781 78.0 1672.3093 1.764149e+02 3151.2757866
#> 782 78.1 1662.1775 1.732726e+02 3164.5498437
#> 783 78.2 1652.4077 1.701016e+02 3177.4907007
#> 784 78.3 1642.9952 1.669086e+02 3190.0962706
#> 785 78.4 1633.9350 1.636999e+02 3202.3651186
#> 786 78.5 1625.2220 1.604815e+02 3214.2964317
#> 787 78.6 1616.8507 1.572593e+02 3225.8899858
#> 788 78.7 1608.8154 1.540385e+02 3237.1461137
#> 789 78.8 1601.1099 1.508244e+02 3248.0656732
#> 790 78.9 1593.7283 1.476216e+02 3258.6500137
#> 791 79.0 1586.6643 1.444347e+02 3268.9009447
#> 792 79.1 1579.9115 1.412678e+02 3278.8207042
#> 793 79.2 1573.4633 1.381247e+02 3288.4119269
#> 794 79.3 1567.3133 1.350091e+02 3297.6776141
#> 795 79.4 1561.4548 1.319241e+02 3306.6211039
#> 796 79.5 1555.8812 1.288728e+02 3315.2460423
#> 797 79.6 1550.5858 1.258578e+02 3323.5563553
#> 798 79.7 1545.5621 1.228817e+02 3331.5562223
#> 799 79.8 1540.8033 1.199466e+02 3339.2500499
#> 800 79.9 1536.3030 1.170546e+02 3346.6424477
#> 801 80.0 1532.0546 1.142072e+02 3353.7382044
#> 802 80.1 1528.0515 1.114062e+02 3360.5422655
#> 803 80.2 1524.2875 1.086528e+02 3367.0597123
#> 804 80.3 1520.7562 1.059481e+02 3373.2957416
#> 805 80.4 1517.4513 1.032930e+02 3379.2556469
#> 806 80.5 1514.3668 1.006884e+02 3384.9448005
#> 807 80.6 1511.4964 9.813494e+01 3390.3686372
#> 808 80.7 1508.8344 9.563296e+01 3395.5326382
#> 809 80.8 1506.3748 9.318284e+01 3400.4423170
#> 810 80.9 1504.1120 9.078478e+01 3405.1032058
#> 811 81.0 1502.0403 8.843885e+01 3409.5208431
#> 812 81.1 1500.1542 8.614501e+01 3413.7007617
#> 813 81.2 1498.4484 8.390314e+01 3417.6484790
#> 814 81.3 1496.9175 8.171300e+01 3421.3694861
#> 815 81.4 1495.5565 7.957428e+01 3424.8692402
#> 816 81.5 1494.3603 7.748659e+01 3428.1531552
#> 817 81.6 1493.3239 7.544946e+01 3431.2265954
#> 818 81.7 1492.4428 7.346236e+01 3434.0948683
#> 819 81.8 1491.7121 7.152472e+01 3436.7632189
#> 820 81.9 1491.1273 6.963590e+01 3439.2368242
#> 821 82.0 1490.6840 6.779521e+01 3441.5207887
#> 822 82.1 1490.3779 6.600194e+01 3443.6201401
#> 823 82.2 1490.2048 6.425534e+01 3445.5398258
#> 824 82.3 1490.1607 6.255462e+01 3447.2847096
#> 825 82.4 1490.2415 6.089898e+01 3448.8595693
#> 826 82.5 1490.4433 5.928757e+01 3450.2690942
#> 827 82.6 1490.7626 5.771955e+01 3451.5178833
#> 828 82.7 1491.1955 5.619406e+01 3452.6104441
#> 829 82.8 1491.7386 5.471023e+01 3453.5511910
#> 830 82.9 1492.3884 5.326717e+01 3454.3444447
#> 831 83.0 1493.1416 5.186398e+01 3454.9944319
#> 832 83.1 1493.9949 5.049979e+01 3455.5052846
#> 833 83.2 1494.9453 4.917371e+01 3455.8810402
#> 834 83.3 1495.9895 4.788483e+01 3456.1256416
#> 835 83.4 1497.1248 4.663227e+01 3456.2429379
#> 836 83.5 1498.3482 4.541516e+01 3456.2366846
#> 837 83.6 1499.6568 4.423262e+01 3456.1105443
#> 838 83.7 1501.0481 4.308377e+01 3455.8680878
#> 839 83.8 1502.5194 4.196777e+01 3455.5127950
#> 840 83.9 1504.0682 4.088376e+01 3455.0480558
#> 841 84.0 1505.6919 3.983091e+01 3454.4771714
#> 842 84.1 1507.3882 3.880840e+01 3453.8033559
#> 843 84.2 1509.1549 3.781541e+01 3453.0297372
#> 844 84.3 1510.9895 3.685114e+01 3452.1593587
#> 845 84.4 1512.8900 3.591482e+01 3451.1951805
#> 846 84.5 1514.8542 3.500567e+01 3450.1400815
#> 847 84.6 1516.8802 3.412294e+01 3448.9968605
#> 848 84.7 1518.9659 3.326588e+01 3447.7682379
#> 849 84.8 1521.1094 3.243379e+01 3446.4568573
#> 850 84.9 1523.3088 3.162594e+01 3445.0652875
#> 851 85.0 1525.5623 3.084164e+01 3443.5960236
#> 852 85.1 1527.8683 3.008023e+01 3442.0514892
#> 853 85.2 1530.2249 2.934103e+01 3440.4340378
#> 854 85.3 1532.6306 2.862340e+01 3438.7459544
#> 855 85.4 1535.0838 2.792672e+01 3436.9894576
#> 856 85.5 1537.5829 2.725037e+01 3435.1667006
#> 857 85.6 1540.1265 2.659375e+01 3433.2797735
#> 858 85.7 1542.7130 2.595629e+01 3431.3307045
#> 859 85.8 1545.3411 2.533740e+01 3429.3214618
#> 860 85.9 1548.0095 2.473655e+01 3427.2539548
#> 861 86.0 1550.7168 2.415319e+01 3425.1300363
#> 862 86.1 1553.4617 2.358681e+01 3422.9515034
#> 863 86.2 1556.2430 2.303689e+01 3420.7200996
#> 864 86.3 1559.0595 2.250294e+01 3418.4375157
#> 865 86.4 1561.9101 2.198448e+01 3416.1053918
#> 866 86.5 1564.7936 2.148104e+01 3413.7253186
#> 867 86.6 1567.7090 2.099218e+01 3411.2988387
#> 868 86.7 1570.6551 2.051744e+01 3408.8274480
#> 869 86.8 1573.6310 2.005642e+01 3406.3125971
#> 870 86.9 1576.6356 1.960868e+01 3403.7556928
#> 871 87.0 1579.6681 1.917383e+01 3401.1580991
#> 872 87.1 1582.7274 1.875148e+01 3398.5211386
#> 873 87.2 1585.8126 1.834126e+01 3395.8460940
#> 874 87.3 1588.9230 1.794278e+01 3393.1342086
#> 875 87.4 1592.0576 1.755571e+01 3390.3866884
#> 876 87.5 1595.2156 1.717968e+01 3387.6047025
#> 877 87.6 1598.3962 1.681438e+01 3384.7893845
#> 878 87.7 1601.5987 1.645947e+01 3381.9418337
#> 879 87.8 1604.8222 1.611464e+01 3379.0631160
#> 880 87.9 1608.0662 1.577958e+01 3376.1542650
#> 881 88.0 1611.3297 1.545400e+01 3373.2162828
#> 882 88.1 1614.6122 1.513762e+01 3370.2501414
#> 883 88.2 1617.9131 1.483016e+01 3367.2567832
#> 884 88.3 1621.2315 1.453135e+01 3364.2371222
#> 885 88.4 1624.5670 1.424092e+01 3361.1920447
#> 886 88.5 1627.9190 1.395864e+01 3358.1224103
#> 887 88.6 1631.2867 1.368425e+01 3355.0290529
#> 888 88.7 1634.6697 1.341751e+01 3351.9127809
#> 889 88.8 1638.0674 1.315821e+01 3348.7743789
#> 890 88.9 1641.4793 1.290611e+01 3345.6146075
#> 891 89.0 1644.9048 1.266101e+01 3342.4342049
#> 892 89.1 1648.3434 1.242270e+01 3339.2338870
#> 893 89.2 1651.7947 1.219097e+01 3336.0143484
#> 894 89.3 1655.2581 1.196563e+01 3332.7762632
#> 895 89.4 1658.7332 1.174649e+01 3329.5202852
#> 896 89.5 1662.2196 1.153337e+01 3326.2470489
#> 897 89.6 1665.7167 1.132610e+01 3322.9571702
#> 898 89.7 1669.2243 1.112450e+01 3319.6512465
#> 899 89.8 1672.7417 1.092841e+01 3316.3298579
#> 900 89.9 1676.2688 1.073767e+01 3312.9935673
#> 901 90.0 1679.8050 1.055211e+01 3309.6429212
#> 902 90.1 1683.3499 1.037161e+01 3306.2784500
#> 903 90.2 1686.9033 1.019599e+01 3302.9006688
#> 904 90.3 1690.4648 1.002514e+01 3299.5100777
#> 905 90.4 1694.0339 9.858901e+00 3296.1071621
#> 906 90.5 1697.6105 9.697154e+00 3292.6923937
#> 907 90.6 1701.1940 9.539768e+00 3289.2662303
#> 908 90.7 1704.7843 9.386620e+00 3285.8291168
#> 909 90.8 1708.3809 9.237590e+00 3282.3814853
#> 910 90.9 1711.9837 9.092563e+00 3278.9237555
#> 911 91.0 1715.5922 8.951426e+00 3275.4563352
#> 912 91.1 1719.2063 8.814071e+00 3271.9796207
#> 913 91.2 1722.8256 8.680394e+00 3268.4939970
#> 914 91.3 1726.4499 8.550292e+00 3264.9998385
#> 915 91.4 1730.0788 8.423668e+00 3261.4975087
#> 916 91.5 1733.7122 8.300425e+00 3257.9873615
#> 917 91.6 1737.3498 8.180473e+00 3254.4697405
#> 918 91.7 1740.9913 8.063721e+00 3250.9449799
#> 919 91.8 1744.6365 7.950084e+00 3247.4134049
#> 920 91.9 1748.2852 7.839477e+00 3243.8753315
#> 921 92.0 1751.9371 7.731821e+00 3240.3310672
#> 922 92.1 1755.5921 7.627036e+00 3236.7809111
#> 923 92.2 1759.2498 7.525046e+00 3233.2251542
#> 924 92.3 1762.9101 7.425779e+00 3229.6640797
#> 925 92.4 1766.5729 7.329163e+00 3226.0979631
#> 926 92.5 1770.2378 7.235130e+00 3222.5270726
#> 927 92.6 1773.9047 7.143612e+00 3218.9516694
#> 928 92.7 1777.5734 7.054545e+00 3215.3720075
#> 929 92.8 1781.2438 6.967867e+00 3211.7883344
#> 930 92.9 1784.9156 6.883518e+00 3208.2008913
#> 931 93.0 1788.5886 6.801438e+00 3204.6099129
#> 932 93.1 1792.2628 6.721572e+00 3201.0156278
#> 933 93.2 1795.9379 6.643864e+00 3197.4182589
#> 934 93.3 1799.6137 6.568262e+00 3193.8180233
#> 935 93.4 1803.2902 6.494713e+00 3190.2151328
#> 936 93.5 1806.9670 6.423169e+00 3186.6097935
#> 937 93.6 1810.6442 6.353580e+00 3183.0022066
#> 938 93.7 1814.3215 6.285902e+00 3179.3925682
#> 939 93.8 1817.9988 6.220088e+00 3175.7810697
#> 940 93.9 1821.6760 6.156094e+00 3172.1678976
#> 941 94.0 1825.3529 6.093879e+00 3168.5532341
#> 942 94.1 1829.0293 6.033403e+00 3164.9372568
#> 943 94.2 1832.7052 5.974624e+00 3161.3201391
#> 944 94.3 1836.3804 5.917505e+00 3157.7020503
#> 945 94.4 1840.0548 5.862010e+00 3154.0831558
#> 946 94.5 1843.7283 5.808102e+00 3150.4636170
#> 947 94.6 1847.4007 5.755746e+00 3146.8435918
#> 948 94.7 1851.0719 5.704910e+00 3143.2232341
#> 949 94.8 1854.7417 5.655560e+00 3139.6026947
#> 950 94.9 1858.4102 5.607666e+00 3135.9821209
#> 951 95.0 1862.0771 5.561198e+00 3132.3616565
#> 952 95.1 1865.7424 5.516125e+00 3128.7414424
#> 953 95.2 1869.4060 5.472421e+00 3125.1216164
#> 954 95.3 1873.0676 5.430057e+00 3121.5023133
#> 955 95.4 1876.7273 5.389007e+00 3117.8836651
#> 956 95.5 1880.3850 5.349246e+00 3114.2658009
#> 957 95.6 1884.0404 5.310749e+00 3110.6488472
#> 958 95.7 1887.6936 5.273493e+00 3107.0329280
#> 959 95.8 1891.3444 5.237454e+00 3103.4181647
#> 960 95.9 1894.9927 5.202611e+00 3099.8046764
#> 961 96.0 1898.6385 5.168942e+00 3096.1925797
#> 962 96.1 1902.2816 5.136427e+00 3092.5819891
#> 963 96.2 1905.9219 5.105047e+00 3088.9730169
#> 964 96.3 1909.5594 5.074781e+00 3085.3657734
#> 965 96.4 1913.1940 5.045611e+00 3081.7603667
#> 966 96.5 1916.8256 5.017521e+00 3078.1569031
#> 967 96.6 1920.4540 4.990493e+00 3074.5554870
#> 968 96.7 1924.0793 4.964510e+00 3070.9562209
#> 969 96.8 1927.7012 4.939558e+00 3067.3592058
#> 970 96.9 1931.3198 4.915621e+00 3063.7645407
#> 971 97.0 1934.9350 4.892684e+00 3060.1723234
#> 972 97.1 1938.5466 4.870735e+00 3056.5826498
#> 973 97.2 1942.1546 4.849759e+00 3052.9956146
#> 974 97.3 1945.7589 4.829744e+00 3049.4113108
#> 975 97.4 1949.3595 4.810679e+00 3045.8298304
#> 976 97.5 1952.9562 4.792551e+00 3042.2512637
#> 977 97.6 1956.5490 4.775349e+00 3038.6757000
#> 978 97.7 1960.1377 4.759064e+00 3035.1032274
#> 979 97.8 1963.7224 4.743684e+00 3031.5339329
#> 980 97.9 1967.3029 4.729202e+00 3027.9679023
#> 981 98.0 1970.8792 4.715607e+00 3024.4052203
#> 982 98.1 1974.4511 4.702892e+00 3020.8459709
#> 983 98.2 1978.0187 4.691048e+00 3017.2902369
#> 984 98.3 1981.5818 4.680068e+00 3013.7381004
#> 985 98.4 1985.1404 4.669946e+00 3010.1896426
#> 986 98.5 1988.6944 4.660674e+00 3006.6449439
#> 987 98.6 1992.2437 4.652246e+00 3003.1040840
#> 988 98.7 1995.7882 4.644658e+00 2999.5671418
#> 989 98.8 1999.3279 4.637903e+00 2996.0341958
#> 990 98.9 2002.8627 4.631977e+00 2992.5053237
#> 991 99.0 2006.3925 4.626875e+00 2988.9806026
#> 992 99.1 2009.9173 4.622595e+00 2985.4601093
#> 993 99.2 2013.4369 4.619132e+00 2981.9439199
#> 994 99.3 2016.9514 4.616483e+00 2978.4321104
#> 995 99.4 2020.4606 4.614646e+00 2974.9247560
#> 996 99.5 2023.9644 4.613618e+00 2971.4219318
#> 997 99.6 2027.4629 4.613399e+00 2967.9237127
#> 998 99.7 2030.9558 4.613985e+00 2964.4301731
#> 999 99.8 2034.4432 4.615377e+00 2960.9413874
#> 1000 99.9 2037.9250 4.617574e+00 2957.4574296
#> 1001 100.0 2041.4011 4.620576e+00 2953.9783737
#> 1002 100.1 2044.8713 4.624383e+00 2950.5042938
#> 1003 100.2 2048.3357 4.628995e+00 2947.0352634
#> 1004 100.3 2051.7942 4.634414e+00 2943.5713566
#> 1005 100.4 2055.2467 4.640641e+00 2940.1126472
#> 1006 100.5 2058.6931 4.647677e+00 2936.6592090
#> 1007 100.6 2062.1334 4.655526e+00 2933.2111161
#> 1008 100.7 2065.5674 4.664190e+00 2929.7684427
#> 1009 100.8 2068.9951 4.673671e+00 2926.3312631
#> 1010 100.9 2072.4164 4.683974e+00 2922.8996518
#> 1011 101.0 2075.8312 4.695102e+00 2919.4736838
#> 1012 101.1 2079.2395 4.707059e+00 2916.0534341
#> 1013 101.2 2082.6412 4.719850e+00 2912.6389783
#> 1014 101.3 2086.0361 4.733480e+00 2909.2303921
#> 1015 101.4 2089.4243 4.747954e+00 2905.8277520
#> 1016 101.5 2092.8056 4.763279e+00 2902.4311346
#> 1017 101.6 2096.1799 4.779460e+00 2899.0406172
#> 1018 101.7 2099.5472 4.796505e+00 2895.6562776
#> 1019 101.8 2102.9074 4.814420e+00 2892.2781943
#> 1020 101.9 2106.2603 4.833213e+00 2888.9064462
#> 1021 102.0 2109.6060 4.852892e+00 2885.5411130
#> 1022 102.1 2112.9443 4.873465e+00 2882.1822751
#> 1023 102.2 2116.2750 4.894942e+00 2878.8300138
#> 1024 102.3 2119.5983 4.917331e+00 2875.4844109
#> 1025 102.4 2122.9138 4.940643e+00 2872.1455493
#> 1026 102.5 2126.2216 4.964887e+00 2868.8135127
#> 1027 102.6 2129.5215 4.990074e+00 2865.4883856
#> 1028 102.7 2132.8135 5.016216e+00 2862.1702538
#> 1029 102.8 2136.0975 5.043324e+00 2858.8592039
#> 1030 102.9 2139.3733 5.071410e+00 2855.5553234
#> 1031 103.0 2142.6408 5.100486e+00 2852.2587014
#> 1032 103.1 2145.9000 5.130566e+00 2848.9694277
#> 1033 103.2 2149.1507 5.161664e+00 2845.6875935
#> 1034 103.3 2152.3929 5.193793e+00 2842.4132913
#> 1035 103.4 2155.6264 5.226969e+00 2839.1466149
#> 1036 103.5 2158.8511 5.261205e+00 2835.8876593
#> 1037 103.6 2162.0670 5.296519e+00 2832.6365213
#> 1038 103.7 2165.2738 5.332926e+00 2829.3932987
#> 1039 103.8 2168.4715 5.370443e+00 2826.1580911
#> 1040 103.9 2171.6599 5.409087e+00 2822.9309996
#> 1041 104.0 2174.8390 5.448877e+00 2819.7121271
#> 1042 104.1 2178.0086 5.489831e+00 2816.5015778
#> 1043 104.2 2181.1686 5.531968e+00 2813.2994581
#> 1044 104.3 2184.3188 5.575307e+00 2810.1058758
#> 1045 104.4 2187.4592 5.619871e+00 2806.9209408
#> 1046 104.5 2190.5896 5.665678e+00 2803.7447650
#> 1047 104.6 2193.7098 5.712751e+00 2800.5774620
#> 1048 104.7 2196.8197 5.761113e+00 2797.4191476
#> 1049 104.8 2199.9193 5.810786e+00 2794.2699398
#> 1050 104.9 2203.0082 5.861794e+00 2791.1299587
#> 1051 105.0 2206.0865 5.914162e+00 2787.9993267
#> 1052 105.1 2209.1539 5.967915e+00 2784.8781683
#> 1053 105.2 2212.2103 6.023078e+00 2781.7666106
#> 1054 105.3 2215.2555 6.079678e+00 2778.6647831
#> 1055 105.4 2218.2894 6.137743e+00 2775.5728179
#> 1056 105.5 2221.3118 6.197301e+00 2772.4908496
#> 1057 105.6 2224.3226 6.258380e+00 2769.4190154
#> 1058 105.7 2227.3215 6.321012e+00 2766.3574554
#> 1059 105.8 2230.3085 6.385225e+00 2763.3063126
#> 1060 105.9 2233.2832 6.451052e+00 2760.2657327
#> 1061 106.0 2236.2456 6.518525e+00 2757.2358645
#> 1062 106.1 2239.1955 6.587678e+00 2754.2168599
#> 1063 106.2 2242.1326 6.658544e+00 2751.2088740
#> 1064 106.3 2245.0568 6.731159e+00 2748.2120650
#> 1065 106.4 2247.9678 6.805558e+00 2745.2265946
#> 1066 106.5 2250.8656 6.881779e+00 2742.2526279
#> 1067 106.6 2253.7498 6.959860e+00 2739.2903335
#> 1068 106.7 2256.6203 7.039839e+00 2736.3398836
#> 1069 106.8 2259.4768 7.121757e+00 2733.4014542
#> 1070 106.9 2262.3191 7.205654e+00 2730.4752250
#> 1071 107.0 2265.1470 7.291574e+00 2727.5613797
#> 1072 107.1 2267.9603 7.379559e+00 2724.6601060
#> 1073 107.2 2270.7588 7.469653e+00 2721.7715958
#> 1074 107.3 2273.5421 7.561902e+00 2718.8960451
#> 1075 107.4 2276.3100 7.656353e+00 2716.0336544
#> 1076 107.5 2279.0623 7.753054e+00 2713.1846284
#> 1077 107.6 2281.7988 7.852054e+00 2710.3491768
#> 1078 107.7 2284.5191 7.953402e+00 2707.5275136
#> 1079 107.8 2287.2230 8.057152e+00 2704.7198577
#> 1080 107.9 2289.9102 8.163354e+00 2701.9264330
#> 1081 108.0 2292.5805 8.272065e+00 2699.1474686
#> 1082 108.1 2295.2335 8.383339e+00 2696.3831984
#> 1083 108.2 2297.8689 8.497233e+00 2693.6338618
#> 1084 108.3 2300.4865 8.613805e+00 2690.8997038
#> 1085 108.4 2303.0859 8.733116e+00 2688.1809747
#> 1086 108.5 2305.6668 8.855226e+00 2685.4779307
#> 1087 108.6 2308.2290 8.980198e+00 2682.7908338
#> 1088 108.7 2310.7720 9.108096e+00 2680.1199518
#> 1089 108.8 2313.2955 9.238986e+00 2677.4655589
#> 1090 108.9 2315.7991 9.372935e+00 2674.8279353
#> 1091 109.0 2318.2826 9.510011e+00 2672.2073680
#> 1092 109.1 2320.7456 9.650286e+00 2669.6041501
#> 1093 109.2 2323.1876 9.793830e+00 2667.0185819
#> 1094 109.3 2325.6083 9.940718e+00 2664.4509701
#> 1095 109.4 2328.0073 1.009102e+01 2661.9016287
#> 1096 109.5 2330.3843 1.024483e+01 2659.3708789
#> 1097 109.6 2332.7387 1.040220e+01 2656.8590493
#> 1098 109.7 2335.0703 1.056324e+01 2654.3664757
#> 1099 109.8 2337.3785 1.072801e+01 2651.8935019
#> 1100 109.9 2339.6629 1.089660e+01 2649.4404795
#> 1101 110.0 2341.9231 1.106909e+01 2647.0077680
#> 1102 110.1 2344.1587 1.124559e+01 2644.5957350
#> 1103 110.2 2346.3691 1.142616e+01 2642.2047569
#> 1104 110.3 2348.5539 1.161092e+01 2639.8352180
#> 1105 110.4 2350.7126 1.179994e+01 2637.4875119
#> 1106 110.5 2352.8446 1.199332e+01 2635.1620406
#> 1107 110.6 2354.9496 1.219116e+01 2632.8592155
#> 1108 110.7 2357.0270 1.239357e+01 2630.5794571
#> 1109 110.8 2359.0762 1.260063e+01 2628.3231954
#> 1110 110.9 2361.0967 1.281246e+01 2626.0908698
#> 1111 111.0 2363.0879 1.302915e+01 2623.8829296
#> 1112 111.1 2365.0493 1.325082e+01 2621.6998342
#> 1113 111.2 2366.9804 1.347758e+01 2619.5420529
#> 1114 111.3 2368.8804 1.370952e+01 2617.4100655
#> 1115 111.4 2370.7489 1.394677e+01 2615.3043621
#> 1116 111.5 2372.5851 1.418944e+01 2613.2254436
#> 1117 111.6 2374.3885 1.443765e+01 2611.1738219
#> 1118 111.7 2376.1585 1.469151e+01 2609.1500195
#> 1119 111.8 2377.8943 1.495115e+01 2607.1545706
#> 1120 111.9 2379.5953 1.521668e+01 2605.1880203
#> 1121 112.0 2381.2608 1.548823e+01 2603.2509256
#> 1122 112.1 2382.8902 1.576592e+01 2601.3438549
#> 1123 112.2 2384.4827 1.604989e+01 2599.4673887
#> 1124 112.3 2386.0376 1.634026e+01 2597.6221194
#> 1125 112.4 2387.5542 1.663716e+01 2595.8086514
#> 1126 112.5 2389.0317 1.694072e+01 2594.0276017
#> 1127 112.6 2390.4693 1.725107e+01 2592.2795994
#> 1128 112.7 2391.8664 1.756836e+01 2590.5652866
#> 1129 112.8 2393.2220 1.789271e+01 2588.8853175
#> 1130 112.9 2394.5354 1.822427e+01 2587.2403597
#> 1131 113.0 2395.8057 1.856317e+01 2585.6310932
#> 1132 113.1 2397.0322 1.890956e+01 2584.0582115
#> 1133 113.2 2398.2140 1.926357e+01 2582.5224206
#> 1134 113.3 2399.3502 1.962534e+01 2581.0244402
#> 1135 113.4 2400.4400 1.999502e+01 2579.5650028
#> 1136 113.5 2401.4824 2.037275e+01 2578.1448545
#> 1137 113.6 2402.4766 2.075867e+01 2576.7647544
#> 1138 113.7 2403.4216 2.115293e+01 2575.4254751
#> 1139 113.8 2404.3165 2.155566e+01 2574.1278024
#> 1140 113.9 2405.1604 2.196702e+01 2572.8725354
#> 1141 114.0 2405.9524 2.238715e+01 2571.6604864
#> 1142 114.1 2406.6913 2.281618e+01 2570.4924811
#> 1143 114.2 2407.3764 2.325427e+01 2569.3693580
#> 1144 114.3 2408.0065 2.370154e+01 2568.2919688
#> 1145 114.4 2408.5807 2.415815e+01 2567.2611780
#> 1146 114.5 2409.0979 2.462422e+01 2566.2778629
#> 1147 114.6 2409.5572 2.509990e+01 2565.3429132
#> 1148 114.7 2409.9575 2.558532e+01 2564.4572310
#> 1149 114.8 2410.2977 2.608060e+01 2563.6217306
#> 1150 114.9 2410.5768 2.658589e+01 2562.8373379
#> 1151 115.0 2410.7937 2.710130e+01 2562.1049904
#> 1152 115.1 2410.9474 2.762697e+01 2561.4256369
#> 1153 115.2 2411.0368 2.816299e+01 2560.8002369
#> 1154 115.3 2411.0607 2.870951e+01 2560.2297603
#> 1155 115.4 2411.0182 2.926661e+01 2559.7151868
#> 1156 115.5 2410.9081 2.983441e+01 2559.2575058
#> 1157 115.6 2410.7293 3.041300e+01 2558.8577155
#> 1158 115.7 2410.4807 3.100249e+01 2558.5168223
#> 1159 115.8 2410.1612 3.160295e+01 2558.2358404
#> 1160 115.9 2409.7697 3.221447e+01 2558.0157911
#> 1161 116.0 2409.3052 3.283712e+01 2557.8577018
#> 1162 116.1 2408.7664 3.347096e+01 2557.7626058
#> 1163 116.2 2408.1524 3.411606e+01 2557.7315406
#> 1164 116.3 2407.4620 3.477246e+01 2557.7655478
#> 1165 116.4 2406.6941 3.544019e+01 2557.8656720
#> 1166 116.5 2405.8478 3.611929e+01 2558.0329595
#> 1167 116.6 2404.9218 3.680977e+01 2558.2684573
#> 1168 116.7 2403.9152 3.751164e+01 2558.5732126
#> 1169 116.8 2402.8268 3.822488e+01 2558.9482707
#> 1170 116.9 2401.6558 3.894949e+01 2559.3946744
#> 1171 117.0 2400.4011 3.968543e+01 2559.9134626
#> 1172 117.1 2399.0617 4.043266e+01 2560.5056690
#> 1173 117.2 2397.6366 4.119110e+01 2561.1723202
#> 1174 117.3 2396.1249 4.196070e+01 2561.9144350
#> 1175 117.4 2394.5256 4.274134e+01 2562.7330222
#> 1176 117.5 2392.8380 4.353294e+01 2563.6290793
#> 1177 117.6 2391.0611 4.433535e+01 2564.6035910
#> 1178 117.7 2389.1940 4.514844e+01 2565.6575270
#> 1179 117.8 2387.2361 4.597205e+01 2566.7918405
#> 1180 117.9 2385.1865 4.680599e+01 2568.0074666
#> 1181 118.0 2383.0446 4.765006e+01 2569.3053197
#> 1182 118.1 2380.8097 4.850405e+01 2570.6862922
#> 1183 118.2 2378.4810 4.936772e+01 2572.1512523
#> 1184 118.3 2376.0582 5.024079e+01 2573.7010418
#> 1185 118.4 2373.5405 5.112299e+01 2575.3364739
#> 1186 118.5 2370.9277 5.201401e+01 2577.0583315
#> 1187 118.6 2368.2191 5.291352e+01 2578.8673643
#> 1188 118.7 2365.4146 5.382116e+01 2580.7642872
#> 1189 118.8 2362.5137 5.473657e+01 2582.7497777
#> 1190 118.9 2359.5162 5.565933e+01 2584.8244736
#> 1191 119.0 2356.4220 5.658904e+01 2586.9889707
#> 1192 119.1 2353.2309 5.752523e+01 2589.2438205
#> 1193 119.2 2349.9430 5.846745e+01 2591.5895277
#> 1194 119.3 2346.5583 5.941518e+01 2594.0265480
#> 1195 119.4 2343.0768 6.036791e+01 2596.5552854
#> 1196 119.5 2339.4988 6.132510e+01 2599.1760903
#> 1197 119.6 2335.8246 6.228616e+01 2601.8892567
#> 1198 119.7 2332.0545 6.325052e+01 2604.6950200
#> 1199 119.8 2328.1889 6.421755e+01 2607.5935549
#> 1200 119.9 2324.2284 6.518660e+01 2610.5849728
#> 1201 120.0 2320.1737 6.615703e+01 2613.6693198
#> 1202 120.1 2316.0253 6.712813e+01 2616.8465743
#> 1203 120.2 2311.7842 6.809920e+01 2620.1166451
#> 1204 120.3 2307.4511 6.906951e+01 2623.4793693
#> 1205 120.4 2303.0272 7.003831e+01 2626.9345100
#> 1206 120.5 2298.5134 7.100483e+01 2630.4817551
#> 1207 120.6 2293.9110 7.196829e+01 2634.1207149
#> 1208 120.7 2289.2212 7.292787e+01 2637.8509207
#> 1209 120.8 2284.4454 7.388276e+01 2641.6718231
#> 1210 120.9 2279.5851 7.483213e+01 2645.5827909
#> 1211 121.0 2274.6418 7.577512e+01 2649.5831095
#> 1212 121.1 2269.6171 7.671088e+01 2653.6719796
#> 1213 121.2 2264.5130 7.763852e+01 2657.8485168
#> 1214 121.3 2259.3311 7.855718e+01 2662.1117502
#> 1215 121.4 2254.0734 7.946597e+01 2666.4606219
#> 1216 121.5 2248.7420 8.036400e+01 2670.8939867
#> 1217 121.6 2243.3390 8.125036e+01 2675.4106116
#> 1218 121.7 2237.8667 8.212417e+01 2680.0091756
#> 1219 121.8 2232.3272 8.298452e+01 2684.6882700
#> 1220 121.9 2226.7231 8.383054e+01 2689.4463985
#> 1221 122.0 2221.0567 8.466131e+01 2694.2819778
#> 1222 122.1 2215.3307 8.547597e+01 2699.1933382
#> 1223 122.2 2209.5476 8.627365e+01 2704.1787246
#> 1224 122.3 2203.7102 8.705347e+01 2709.2362974
#> 1225 122.4 2197.8213 8.781459e+01 2714.3641339
#> 1226 122.5 2191.8836 8.855618e+01 2719.5602301
#> 1227 122.6 2185.9001 8.927742e+01 2724.8225019
#> 1228 122.7 2179.8737 8.997751e+01 2730.1487877
#> 1229 122.8 2173.8075 9.065569e+01 2735.5368499
#> 1230 122.9 2167.7044 9.131118e+01 2740.9843777
#> 1231 123.0 2161.5677 9.194328e+01 2746.4889895
#> 1232 123.1 2155.4005 9.255128e+01 2752.0482356
#> 1233 123.2 2149.2059 9.313451e+01 2757.6596013
#> 1234 123.3 2142.9872 9.369234e+01 2763.3205099
#> 1235 123.4 2136.7475 9.422415e+01 2769.0283258
#> 1236 123.5 2130.4903 9.472938e+01 2774.7803582
#> 1237 123.6 2124.2186 9.520749e+01 2780.5738648
#> 1238 123.7 2117.9360 9.565799e+01 2786.4060549
#> 1239 123.8 2111.6455 9.608041e+01 2792.2740941
#> 1240 123.9 2105.3506 9.647433e+01 2798.1751077
#> 1241 124.0 2099.0544 9.683939e+01 2804.1061847
#> 1242 124.1 2092.7604 9.717523e+01 2810.0643825
#> 1243 124.2 2086.4717 9.748156e+01 2816.0467307
#> 1244 124.3 2080.1916 9.775814e+01 2822.0502356
#> 1245 124.4 2073.9234 9.800475e+01 2828.0718842
#> 1246 124.5 2067.6701 9.822123e+01 2834.1086493
#> 1247 124.6 2061.4350 9.840746e+01 2840.1574933
#> 1248 124.7 2055.2213 9.856336e+01 2846.2153726
#> 1249 124.8 2049.0319 9.868890e+01 2852.2792425
#> 1250 124.9 2042.8698 9.878409e+01 2858.3460612
#> 1251 125.0 2036.7382 9.884899e+01 2864.4127943
#> 1252 125.1 2030.6399 9.888368e+01 2870.4764189
#> 1253 125.2 2024.5777 9.888833e+01 2876.5339283
#> 1254 125.3 2018.5546 9.886310e+01 2882.5823355
#> 1255 125.4 2012.5731 9.880821e+01 2888.6186779
#> 1256 125.5 2006.6360 9.872393e+01 2894.6400212
#> 1257 125.6 2000.7460 9.861057e+01 2900.6434627
#> 1258 125.7 1994.9054 9.846845e+01 2906.6261359
#> 1259 125.8 1989.1168 9.829795e+01 2912.5852135
#> 1260 125.9 1983.3826 9.809948e+01 2918.5179111
#> 1261 126.0 1977.7050 9.787349e+01 2924.4214906
#> 1262 126.1 1972.0863 9.762044e+01 2930.2932635
#> 1263 126.2 1966.5286 9.734084e+01 2936.1305936
#> 1264 126.3 1961.0339 9.703523e+01 2941.9309000
#> 1265 126.4 1955.6042 9.670417e+01 2947.6916600
#> 1266 126.5 1950.2414 9.634823e+01 2953.4104116
#> 1267 126.6 1944.9472 9.596803e+01 2959.0847555
#> 1268 126.7 1939.7234 9.556420e+01 2964.7123575
#> 1269 126.8 1934.5717 9.513738e+01 2970.2909507
#> 1270 126.9 1929.4934 9.468825e+01 2975.8183369
#> 1271 127.0 1924.4901 9.421750e+01 2981.2923886
#> 1272 127.1 1919.5631 9.372581e+01 2986.7110500
#> 1273 127.2 1914.7138 9.321390e+01 2992.0723387
#> 1274 127.3 1909.9432 9.268249e+01 2997.3743465
#> 1275 127.4 1905.2524 9.213232e+01 3002.6152405
#> 1276 127.5 1900.6426 9.156412e+01 3007.7932638
#> 1277 127.6 1896.1146 9.097864e+01 3012.9067356
#> 1278 127.7 1891.6693 9.037663e+01 3017.9540525
#> 1279 127.8 1887.3075 8.975883e+01 3022.9336878
#> 1280 127.9 1883.0298 8.912601e+01 3027.8441922
#> 1281 128.0 1878.8369 8.847890e+01 3032.6841934
#> 1282 128.1 1874.7293 8.781828e+01 3037.4523962
#> 1283 128.2 1870.7076 8.714487e+01 3042.1475818
#> 1284 128.3 1866.7720 8.645942e+01 3046.7686075
#> 1285 128.4 1862.9229 8.576267e+01 3051.3144059
#> 1286 128.5 1859.1607 8.505535e+01 3055.7839845
#> 1287 128.6 1855.4854 8.433818e+01 3060.1764246
#> 1288 128.7 1851.8972 8.361187e+01 3064.4908803
#> 1289 128.8 1848.3963 8.287713e+01 3068.7265776
#> 1290 128.9 1844.9825 8.213465e+01 3072.8828133
#> 1291 129.0 1841.6559 8.138510e+01 3076.9589534
#> 1292 129.1 1838.4164 8.062916e+01 3080.9544323
#> 1293 129.2 1835.2638 7.986747e+01 3084.8687511
#> 1294 129.3 1832.1978 7.910068e+01 3088.7014761
#> 1295 129.4 1829.2183 7.832942e+01 3092.4522374
#> 1296 129.5 1826.3250 7.755428e+01 3096.1207275
#> 1297 129.6 1823.5174 7.677588e+01 3099.7066994
#> 1298 129.7 1820.7953 7.599478e+01 3103.2099651
#> 1299 129.8 1818.1581 7.521155e+01 3106.6303938
#> 1300 129.9 1815.6054 7.442673e+01 3109.9679105
#> 1301 130.0 1813.1366 7.364086e+01 3113.2224937
#> 1302 130.1 1810.7514 7.285444e+01 3116.3941743
#> 1303 130.2 1808.4490 7.206798e+01 3119.4830333
#> 1304 130.3 1806.2288 7.128195e+01 3122.4892004
#> 1305 130.4 1804.0903 7.049681e+01 3125.4128518
#> 1306 130.5 1802.0328 6.971300e+01 3128.2542090
#> 1307 130.6 1800.0555 6.893096e+01 3131.0135364
#> 1308 130.7 1798.1578 6.815108e+01 3133.6911399
#> 1309 130.8 1796.3389 6.737377e+01 3136.2873651
#> 1310 130.9 1794.5980 6.659940e+01 3138.8025955
#> 1311 131.0 1792.9344 6.582833e+01 3141.2372508
#> 1312 131.1 1791.3473 6.506089e+01 3143.5917852
#> 1313 131.2 1789.8359 6.429742e+01 3145.8666855
#> 1314 131.3 1788.3993 6.353823e+01 3148.0624699
#> 1315 131.4 1787.0367 6.278361e+01 3150.1796859
#> 1316 131.5 1785.7473 6.203384e+01 3152.2189092
#> 1317 131.6 1784.5301 6.128918e+01 3154.1807415
#> 1318 131.7 1783.3843 6.054988e+01 3156.0658096
#> 1319 131.8 1782.3091 5.981618e+01 3157.8747633
#> 1320 131.9 1781.3034 5.908830e+01 3159.6082745
#> 1321 132.0 1780.3665 5.836644e+01 3161.2670355
#> 1322 132.1 1779.4974 5.765080e+01 3162.8517575
#> 1323 132.2 1778.6953 5.694155e+01 3164.3631694
#> 1324 132.3 1777.9591 5.623886e+01 3165.8020165
#> 1325 132.4 1777.2880 5.554290e+01 3167.1690592
#> 1326 132.5 1776.6811 5.485379e+01 3168.4650717
#> 1327 132.6 1776.1375 5.417167e+01 3169.6908408
#> 1328 132.7 1775.6562 5.349667e+01 3170.8471651
#> 1329 132.8 1775.2363 5.282888e+01 3171.9348531
#> 1330 132.9 1774.8769 5.216842e+01 3172.9547231
#> 1331 133.0 1774.5770 5.151536e+01 3173.9076013
#> 1332 133.1 1774.3359 5.086980e+01 3174.7943213
#> 1333 133.2 1774.1525 5.023178e+01 3175.6157232
#> 1334 133.3 1774.0260 4.960139e+01 3176.3726522
#> 1335 133.4 1773.9554 4.897867e+01 3177.0659583
#> 1336 133.5 1773.9398 4.836366e+01 3177.6964949
#> 1337 133.6 1773.9785 4.775640e+01 3178.2651185
#> 1338 133.7 1774.0704 4.715692e+01 3178.7726875
#> 1339 133.8 1774.2147 4.656524e+01 3179.2200618
#> 1340 133.9 1774.4105 4.598137e+01 3179.6081019
#> 1341 134.0 1774.6570 4.540533e+01 3179.9376684
#> 1342 134.1 1774.9533 4.483712e+01 3180.2096210
#> 1343 134.2 1775.2985 4.427672e+01 3180.4248183
#> 1344 134.3 1775.6917 4.372414e+01 3180.5841172
#> 1345 134.4 1776.1323 4.317935e+01 3180.6883721
#> 1346 134.5 1776.6192 4.264234e+01 3180.7384344
#> 1347 134.6 1777.1518 4.211308e+01 3180.7351524
#> 1348 134.7 1777.7291 4.159154e+01 3180.6793703
#> 1349 134.8 1778.3504 4.107770e+01 3180.5719284
#> 1350 134.9 1779.0148 4.057150e+01 3180.4136621
#> 1351 135.0 1779.7217 4.007292e+01 3180.2054019
#> 1352 135.1 1780.4701 3.958191e+01 3179.9479727
#> 1353 135.2 1781.2594 3.909841e+01 3179.6421941
#> 1354 135.3 1782.0887 3.862239e+01 3179.2888794
#> 1355 135.4 1782.9574 3.815378e+01 3178.8888356
#> 1356 135.5 1783.8646 3.769252e+01 3178.4428633
#> 1357 135.6 1784.8097 3.723857e+01 3177.9517562
#> 1358 135.7 1785.7918 3.679186e+01 3177.4163010
#> 1359 135.8 1786.8104 3.635233e+01 3176.8372771
#> 1360 135.9 1787.8646 3.591991e+01 3176.2154567
#> 1361 136.0 1788.9539 3.549453e+01 3175.5516042
#> 1362 136.1 1790.0774 3.507613e+01 3174.8464764
#> 1363 136.2 1791.2345 3.466464e+01 3174.1008220
#> 1364 136.3 1792.4246 3.425999e+01 3173.3153820
#> 1365 136.4 1793.6470 3.386211e+01 3172.4908891
#> 1366 136.5 1794.9010 3.347091e+01 3171.6280679
#> 1367 136.6 1796.1860 3.308634e+01 3170.7276346
#> 1368 136.7 1797.5014 3.270831e+01 3169.7902972
#> 1369 136.8 1798.8465 3.233676e+01 3168.8167550
#> 1370 136.9 1800.2207 3.197159e+01 3167.8076992
#> 1371 137.0 1801.6234 3.161275e+01 3166.7638123
#> 1372 137.1 1803.0541 3.126014e+01 3165.6857683
#> 1373 137.2 1804.5121 3.091370e+01 3164.5742326
#> 1374 137.3 1805.9968 3.057336e+01 3163.4298621
#> 1375 137.4 1807.5077 3.023902e+01 3162.2533053
#> 1376 137.5 1809.0442 2.991061e+01 3161.0452020
#> 1377 137.6 1810.6057 2.958807e+01 3159.8061833
#> 1378 137.7 1812.1918 2.927131e+01 3158.5368722
#> 1379 137.8 1813.8019 2.896025e+01 3157.2378830
#> 1380 137.9 1815.4354 2.865482e+01 3155.9098214
#> 1381 138.0 1817.0918 2.835494e+01 3154.5532851
#> 1382 138.1 1818.7706 2.806055e+01 3153.1688630
#> 1383 138.2 1820.4713 2.777155e+01 3151.7571361
#> 1384 138.3 1822.1934 2.748788e+01 3150.3186770
#> 1385 138.4 1823.9365 2.720947e+01 3148.8540500
#> 1386 138.5 1825.6999 2.693624e+01 3147.3638115
#> 1387 138.6 1827.4834 2.666812e+01 3145.8485097
#> 1388 138.7 1829.2863 2.640503e+01 3144.3086849
#> 1389 138.8 1831.1082 2.614691e+01 3142.7448694
#> 1390 138.9 1832.9487 2.589369e+01 3141.1575879
#> 1391 139.0 1834.8074 2.564528e+01 3139.5473572
#> 1392 139.1 1836.6837 2.540163e+01 3137.9146865
#> 1393 139.2 1838.5773 2.516267e+01 3136.2600774
#> 1394 139.3 1840.4876 2.492833e+01 3134.5840241
#> 1395 139.4 1842.4145 2.469854e+01 3132.8870134
#> 1396 139.5 1844.3572 2.447323e+01 3131.1695246
#> 1397 139.6 1846.3156 2.425234e+01 3129.4320302
#> 1398 139.7 1848.2892 2.403582e+01 3127.6749954
#> 1399 139.8 1850.2775 2.382358e+01 3125.8988782
#> 1400 139.9 1852.2803 2.361557e+01 3124.1041301
#> 1401 140.0 1854.2971 2.341174e+01 3122.2911954
#> 1402 140.1 1856.3275 2.321201e+01 3120.4605121
#> 1403 140.2 1858.3712 2.301632e+01 3118.6125111
#> 1404 140.3 1860.4278 2.282463e+01 3116.7476173
#> 1405 140.4 1862.4969 2.263687e+01 3114.8662488
#> 1406 140.5 1864.5782 2.245298e+01 3112.9688177
#> 1407 140.6 1866.6714 2.227291e+01 3111.0557296
#> 1408 140.7 1868.7760 2.209661e+01 3109.1273843
#> 1409 140.8 1870.8918 2.192401e+01 3107.1841753
#> 1410 140.9 1873.0184 2.175507e+01 3105.2264905
#> 1411 141.0 1875.1556 2.158973e+01 3103.2547118
#> 1412 141.1 1877.3028 2.142795e+01 3101.2692155
#> 1413 141.2 1879.4600 2.126966e+01 3099.2703723
#> 1414 141.3 1881.6266 2.111483e+01 3097.2585472
#> 1415 141.4 1883.8025 2.096339e+01 3095.2341002
#> 1416 141.5 1885.9873 2.081532e+01 3093.1973857
#> 1417 141.6 1888.1807 2.067055e+01 3091.1487530
#> 1418 141.7 1890.3824 2.052904e+01 3089.0885462
#> 1419 141.8 1892.5921 2.039076e+01 3087.0171046
#> 1420 141.9 1894.8096 2.025564e+01 3084.9347625
#> 1421 142.0 1897.0345 2.012366e+01 3082.8418493
#> 1422 142.1 1899.2665 1.999476e+01 3080.7386898
#> 1423 142.2 1901.5055 1.986891e+01 3078.6256042
#> 1424 142.3 1903.7510 1.974607e+01 3076.5029080
#> 1425 142.4 1906.0029 1.962619e+01 3074.3709126
#> 1426 142.5 1908.2608 1.950924e+01 3072.2299246
#> 1427 142.6 1910.5246 1.939517e+01 3070.0802467
#> 1428 142.7 1912.7939 1.928396e+01 3067.9221775
#> 1429 142.8 1915.0684 1.917557e+01 3065.7560112
#> 1430 142.9 1917.3480 1.906996e+01 3063.5820382
#> 1431 143.0 1919.6324 1.896709e+01 3061.4005452
#> 1432 143.1 1921.9213 1.886693e+01 3059.2118147
#> 1433 143.2 1924.2144 1.876945e+01 3057.0161258
#> 1434 143.3 1926.5116 1.867462e+01 3054.8137539
#> 1435 143.4 1928.8126 1.858241e+01 3052.6049707
#> 1436 143.5 1931.1172 1.849278e+01 3050.3900446
#> 1437 143.6 1933.4251 1.840570e+01 3048.1692405
#> 1438 143.7 1935.7360 1.832115e+01 3045.9428202
#> 1439 143.8 1938.0499 1.823910e+01 3043.7110420
#> 1440 143.9 1940.3663 1.815951e+01 3041.4741613
#> 1441 144.0 1942.6852 1.808237e+01 3039.2324303
#> 1442 144.1 1945.0063 1.800765e+01 3036.9860982
#> 1443 144.2 1947.3293 1.793531e+01 3034.7354114
#> 1444 144.3 1949.6540 1.786534e+01 3032.4806134
#> 1445 144.4 1951.9803 1.779772e+01 3030.2219449
#> 1446 144.5 1954.3079 1.773241e+01 3027.9596440
#> 1447 144.6 1956.6367 1.766940e+01 3025.6939461
#> 1448 144.7 1958.9663 1.760866e+01 3023.4250841
#> 1449 144.8 1961.2965 1.755018e+01 3021.1532885
#> 1450 144.9 1963.6273 1.749393e+01 3018.8787874
#> 1451 145.0 1965.9583 1.743990e+01 3016.6018064
#> 1452 145.1 1968.2894 1.738805e+01 3014.3225691
#> 1453 145.2 1970.6203 1.733838e+01 3012.0412966
#> 1454 145.3 1972.9509 1.729087e+01 3009.7582081
#> 1455 145.4 1975.2810 1.724550e+01 3007.4735207
#> 1456 145.5 1977.6103 1.720225e+01 3005.1874495
#> 1457 145.6 1979.9387 1.716110e+01 3002.9002077
#> 1458 145.7 1982.2659 1.712205e+01 3000.6120066
#> 1459 145.8 1984.5919 1.708508e+01 2998.3230556
#> 1460 145.9 1986.9163 1.705016e+01 2996.0335626
#> 1461 146.0 1989.2390 1.701730e+01 2993.7437337
#> 1462 146.1 1991.5598 1.698647e+01 2991.4537732
#> 1463 146.2 1993.8785 1.695766e+01 2989.1638842
#> 1464 146.3 1996.1949 1.693086e+01 2986.8742681
#> 1465 146.4 1998.5088 1.690606e+01 2984.5851248
#> 1466 146.5 2000.8201 1.688325e+01 2982.2966530
#> 1467 146.6 2003.1285 1.686242e+01 2980.0090500
#> 1468 146.7 2005.4339 1.684356e+01 2977.7225119
#> 1469 146.8 2007.7361 1.682666e+01 2975.4372333
#> 1470 146.9 2010.0349 1.681170e+01 2973.1534081
#> 1471 147.0 2012.3301 1.679869e+01 2970.8712289
#> 1472 147.1 2014.6215 1.678762e+01 2968.5908870
#> 1473 147.2 2016.9090 1.677847e+01 2966.3125732
#> 1474 147.3 2019.1923 1.677124e+01 2964.0364771
#> 1475 147.4 2021.4713 1.676593e+01 2961.7627873
#> 1476 147.5 2023.7458 1.676253e+01 2959.4916919
#> 1477 147.6 2026.0156 1.676103e+01 2957.2233779
#> 1478 147.7 2028.2805 1.676144e+01 2954.9580317
#> 1479 147.8 2030.5404 1.676374e+01 2952.6958392
#> 1480 147.9 2032.7951 1.676793e+01 2950.4369853
#> 1481 148.0 2035.0443 1.677401e+01 2948.1816548
#> 1482 148.1 2037.2880 1.678198e+01 2945.9300315
#> 1483 148.2 2039.5259 1.679184e+01 2943.6822990
#> 1484 148.3 2041.7578 1.680358e+01 2941.4386404
#> 1485 148.4 2043.9836 1.681720e+01 2939.1992385
#> 1486 148.5 2046.2030 1.683270e+01 2936.9642756
#> 1487 148.6 2048.4160 1.685008e+01 2934.7339338
#> 1488 148.7 2050.6223 1.686935e+01 2932.5083950
#> 1489 148.8 2052.8217 1.689049e+01 2930.2878410
#> 1490 148.9 2055.0140 1.691352e+01 2928.0724530
#> 1491 149.0 2057.1991 1.693844e+01 2925.8624127
#> 1492 149.1 2059.3769 1.696524e+01 2923.6579013
#> 1493 149.2 2061.5470 1.699393e+01 2921.4591002
#> 1494 149.3 2063.7093 1.702452e+01 2919.2661907
#> 1495 149.4 2065.8636 1.705700e+01 2917.0793543
#> 1496 149.5 2068.0099 1.709138e+01 2914.8987724
#> 1497 149.6 2070.1477 1.712766e+01 2912.7246268
#> 1498 149.7 2072.2770 1.716585e+01 2910.5570993
#> 1499 149.8 2074.3977 1.720596e+01 2908.3963721
#> 1500 149.9 2076.5094 1.724798e+01 2906.2426276
#> 1501 150.0 2078.6120 1.729193e+01 2904.0960485
#> 1502 150.1 2080.7054 1.733780e+01 2901.9568178
#> 1503 150.2 2082.7893 1.738562e+01 2899.8251191
#> 1504 150.3 2084.8635 1.743538e+01 2897.7011361
#> 1505 150.4 2086.9279 1.748709e+01 2895.5850534
#> 1506 150.5 2088.9822 1.754076e+01 2893.4770558
#> 1507 150.6 2091.0263 1.759640e+01 2891.3773288
#> 1508 150.7 2093.0599 1.765401e+01 2889.2860583
#> 1509 150.8 2095.0830 1.771361e+01 2887.2034311
#> 1510 150.9 2097.0952 1.777521e+01 2885.1296344
#> 1511 151.0 2099.0963 1.783880e+01 2883.0648562
#> 1512 151.1 2101.0863 1.790442e+01 2881.0092854
#> 1513 151.2 2103.0648 1.797205e+01 2878.9631114
#> 1514 151.3 2105.0318 1.804172e+01 2876.9265245
#> 1515 151.4 2106.9868 1.811344e+01 2874.8997158
#> 1516 151.5 2108.9299 1.818721e+01 2872.8828774
#> 1517 151.6 2110.8607 1.826306e+01 2870.8762021
#> 1518 151.7 2112.7791 1.834098e+01 2868.8798839
#> 1519 151.8 2114.6849 1.842100e+01 2866.8941174
#> 1520 151.9 2116.5778 1.850313e+01 2864.9190985
#> 1521 152.0 2118.4576 1.858737e+01 2862.9550240
#> 1522 152.1 2120.3242 1.867374e+01 2861.0020917
#> 1523 152.2 2122.1772 1.876227e+01 2859.0605005
#> 1524 152.3 2124.0166 1.885295e+01 2857.1304506
#> 1525 152.4 2125.8421 1.894581e+01 2855.2121431
#> 1526 152.5 2127.6534 1.904085e+01 2853.3057802
#> 1527 152.6 2129.4503 1.913810e+01 2851.4115656
#> 1528 152.7 2131.2327 1.923756e+01 2849.5297040
#> 1529 152.8 2133.0003 1.933926e+01 2847.6604012
#> 1530 152.9 2134.7529 1.944321e+01 2845.8038646
#> 1531 153.0 2136.4903 1.954942e+01 2843.9603026
#> 1532 153.1 2138.2122 1.965791e+01 2842.1299250
#> 1533 153.2 2139.9184 1.976870e+01 2840.3129428
#> 1534 153.3 2141.6086 1.988180e+01 2838.5095686
#> 1535 153.4 2143.2828 1.999723e+01 2836.7200161
#> 1536 153.5 2144.9405 2.011501e+01 2834.9445005
#> 1537 153.6 2146.5816 2.023515e+01 2833.1832383
#> 1538 153.7 2148.2059 2.035766e+01 2831.4364474
#> 1539 153.8 2149.8131 2.048258e+01 2829.7043472
#> 1540 153.9 2151.4029 2.060991e+01 2827.9871585
#> 1541 154.0 2152.9752 2.073966e+01 2826.2851035
#> 1542 154.1 2154.5297 2.087187e+01 2824.5984058
#> 1543 154.2 2156.0662 2.100654e+01 2822.9272906
#> 1544 154.3 2157.5843 2.114370e+01 2821.2719843
#> 1545 154.4 2159.0839 2.128336e+01 2819.6327150
#> 1546 154.5 2160.5648 2.142553e+01 2818.0097121
#> 1547 154.6 2162.0265 2.157025e+01 2816.4032066
#> 1548 154.7 2163.4691 2.171752e+01 2814.8134308
#> 1549 154.8 2164.8920 2.186735e+01 2813.2406186
#> 1550 154.9 2166.2952 2.201978e+01 2811.6850054
#> 1551 155.0 2167.6784 2.217482e+01 2810.1468278
#> 1552 155.1 2169.0412 2.233248e+01 2808.6263240
#> 1553 155.2 2170.3835 2.249278e+01 2807.1237337
#> 1554 155.3 2171.7050 2.265574e+01 2805.6392979
#> 1555 155.4 2173.0054 2.282138e+01 2804.1732590
#> 1556 155.5 2174.2844 2.298972e+01 2802.7258608
#> 1557 155.6 2175.5419 2.316076e+01 2801.2973484
#> 1558 155.7 2176.7775 2.333453e+01 2799.8879685
#> 1559 155.8 2177.9910 2.351104e+01 2798.4979688
#> 1560 155.9 2179.1821 2.369031e+01 2797.1275985
#> 1561 156.0 2180.3505 2.387236e+01 2795.7771080
#> 1562 156.1 2181.4961 2.405720e+01 2794.4467488
#> 1563 156.2 2182.6184 2.424484e+01 2793.1367738
#> 1564 156.3 2183.7173 2.443530e+01 2791.8474370
#> 1565 156.4 2184.7924 2.462860e+01 2790.5789934
#> 1566 156.5 2185.8436 2.482475e+01 2789.3316991
#> 1567 156.6 2186.8704 2.502376e+01 2788.1058115
#> 1568 156.7 2187.8728 2.522564e+01 2786.9015885
#> 1569 156.8 2188.8503 2.543042e+01 2785.7192893
#> 1570 156.9 2189.8027 2.563809e+01 2784.5591738
#> 1571 157.0 2190.7298 2.584867e+01 2783.4215028
#> 1572 157.1 2191.6313 2.606217e+01 2782.3065378
#> 1573 157.2 2192.5069 2.627861e+01 2781.2145408
#> 1574 157.3 2193.3562 2.649798e+01 2780.1457747
#> 1575 157.4 2194.1792 2.672030e+01 2779.1005027
#> 1576 157.5 2194.9754 2.694558e+01 2778.0789887
#> 1577 157.6 2195.7447 2.717382e+01 2777.0814965
#> 1578 157.7 2196.4867 2.740503e+01 2776.1082908
#> 1579 157.8 2197.2011 2.763922e+01 2775.1596359
#> 1580 157.9 2197.8878 2.787638e+01 2774.2357967
#> 1581 158.0 2198.5464 2.811652e+01 2773.3370377
#> 1582 158.1 2199.1767 2.835964e+01 2772.4636235
#> 1583 158.2 2199.7784 2.860575e+01 2771.6158184
#> 1584 158.3 2200.3513 2.885484e+01 2770.7938864
#> 1585 158.4 2200.8950 2.910692e+01 2769.9980912
#> 1586 158.5 2201.4093 2.936197e+01 2769.2286957
#> 1587 158.6 2201.8940 2.961999e+01 2768.4859622
#> 1588 158.7 2202.3489 2.988099e+01 2767.7701522
#> 1589 158.8 2202.7735 3.014495e+01 2767.0815262
#> 1590 158.9 2203.1678 3.041186e+01 2766.4203438
#> 1591 159.0 2203.5314 3.068172e+01 2765.7868630
#> 1592 159.1 2203.8642 3.095451e+01 2765.1813407
#> 1593 159.2 2204.1658 3.123022e+01 2764.6040322
#> 1594 159.3 2204.4360 3.150883e+01 2764.0551910
#> 1595 159.4 2204.6746 3.179034e+01 2763.5350689
#> 1596 159.5 2204.8814 3.207472e+01 2763.0439155
#> 1597 159.6 2205.0561 3.236195e+01 2762.5819783
#> 1598 159.7 2205.1985 3.265202e+01 2762.1495024
#> 1599 159.8 2205.3084 3.294489e+01 2761.7467302
#> 1600 159.9 2205.3856 3.324054e+01 2761.3739016
#> 1601 160.0 2205.4298 3.353895e+01 2761.0312533
#> 1602 160.1 2205.4409 3.384008e+01 2760.7190190
#> 1603 160.2 2205.4187 3.414391e+01 2760.4374290
#> 1604 160.3 2205.3629 3.445040e+01 2760.1867101
#> 1605 160.4 2205.2734 3.475952e+01 2759.9670852
#> 1606 160.5 2205.1500 3.507122e+01 2759.7787734
#> 1607 160.6 2204.9925 3.538547e+01 2759.6219895
#> 1608 160.7 2204.8008 3.570222e+01 2759.4969439
#> 1609 160.8 2204.5747 3.602143e+01 2759.4038423
#> 1610 160.9 2204.3141 3.634305e+01 2759.3428855
#> 1611 161.0 2204.0187 3.666704e+01 2759.3142692
#> 1612 161.1 2203.6885 3.699333e+01 2759.3181839
#> 1613 161.2 2203.3233 3.732188e+01 2759.3548142
#> 1614 161.3 2202.9230 3.765263e+01 2759.4243390
#> 1615 161.4 2202.4876 3.798551e+01 2759.5269312
#> 1616 161.5 2202.0168 3.832047e+01 2759.6627572
#> 1617 161.6 2201.5106 3.865744e+01 2759.8319768
#> 1618 161.7 2200.9689 3.899635e+01 2760.0347429
#> 1619 161.8 2200.3917 3.933713e+01 2760.2712014
#> 1620 161.9 2199.7788 3.967971e+01 2760.5414906
#> 1621 162.0 2199.1303 4.002401e+01 2760.8457414
#> 1622 162.1 2198.4460 4.036995e+01 2761.1840765
#> 1623 162.2 2197.7259 4.071745e+01 2761.5566107
#> 1624 162.3 2196.9701 4.106643e+01 2761.9634500
#> 1625 162.4 2196.1785 4.141680e+01 2762.4046921
#> 1626 162.5 2195.3511 4.176846e+01 2762.8804252
#> 1627 162.6 2194.4879 4.212134e+01 2763.3907287
#> 1628 162.7 2193.5890 4.247532e+01 2763.9356721
#> 1629 162.8 2192.6544 4.283031e+01 2764.5153154
#> 1630 162.9 2191.6841 4.318621e+01 2765.1297083
#> 1631 163.0 2190.6782 4.354292e+01 2765.7788903
#> 1632 163.1 2189.6368 4.390033e+01 2766.4628904
#> 1633 163.2 2188.5599 4.425833e+01 2767.1817266
#> 1634 163.3 2187.4478 4.461681e+01 2767.9354057
#> 1635 163.4 2186.3004 4.497565e+01 2768.7239235
#> 1636 163.5 2185.1180 4.533473e+01 2769.5472638
#> 1637 163.6 2183.9007 4.569394e+01 2770.4053989
#> 1638 163.7 2182.6486 4.605315e+01 2771.2982888
#> 1639 163.8 2181.3619 4.641224e+01 2772.2258813
#> 1640 163.9 2180.0408 4.677109e+01 2773.1881116
#> 1641 164.0 2178.6855 4.712955e+01 2774.1849021
#> 1642 164.1 2177.2963 4.748750e+01 2775.2161624
#> 1643 164.2 2175.8734 4.784481e+01 2776.2817888
#> 1644 164.3 2174.4170 4.820133e+01 2777.3816641
#> 1645 164.4 2172.9274 4.855694e+01 2778.5156579
#> 1646 164.5 2171.4049 4.891148e+01 2779.6836257
#> 1647 164.6 2169.8498 4.926482e+01 2780.8854093
#> 1648 164.7 2168.2623 4.961682e+01 2782.1208363
#> 1649 164.8 2166.6430 4.996733e+01 2783.3897201
#> 1650 164.9 2164.9919 5.031620e+01 2784.6918599
#> 1651 165.0 2163.3097 5.066328e+01 2786.0270402
#> 1652 165.1 2161.5965 5.100842e+01 2787.3950310
#> 1653 165.2 2159.8529 5.135148e+01 2788.7955877
#> 1654 165.3 2158.0792 5.169231e+01 2790.2284506
#> 1655 165.4 2156.2759 5.203073e+01 2791.6933456
#> 1656 165.5 2154.4434 5.236662e+01 2793.1899831
#> 1657 165.6 2152.5821 5.269981e+01 2794.7180591
#> 1658 165.7 2150.6926 5.303014e+01 2796.2772541
#> 1659 165.8 2148.7753 5.335747e+01 2797.8672340
#> 1660 165.9 2146.8307 5.368163e+01 2799.4876492
#> 1661 166.0 2144.8594 5.400248e+01 2801.1381356
#> 1662 166.1 2142.8618 5.431985e+01 2802.8183137
#> 1663 166.2 2140.8386 5.463359e+01 2804.5277892
#> 1664 166.3 2138.7903 5.494356e+01 2806.2661529
#> 1665 166.4 2136.7174 5.524959e+01 2808.0329809
#> 1666 166.5 2134.6206 5.555153e+01 2809.8278344
#> 1667 166.6 2132.5005 5.584924e+01 2811.6502601
#> 1668 166.7 2130.3577 5.614256e+01 2813.4997902
#> 1669 166.8 2128.1927 5.643134e+01 2815.3759427
#> 1670 166.9 2126.0063 5.671544e+01 2817.2782211
#> 1671 167.0 2123.7992 5.699470e+01 2819.2061154
#> 1672 167.1 2121.5719 5.726899e+01 2821.1591013
#> 1673 167.2 2119.3252 5.753817e+01 2823.1366412
#> 1674 167.3 2117.0597 5.780209e+01 2825.1381843
#> 1675 167.4 2114.7762 5.806061e+01 2827.1631663
#> 1676 167.5 2112.4754 5.831361e+01 2829.2110104
#> 1677 167.6 2110.1579 5.856095e+01 2831.2811272
#> 1678 167.7 2107.8246 5.880250e+01 2833.3729148
#> 1679 167.8 2105.4761 5.903814e+01 2835.4857597
#> 1680 167.9 2103.1132 5.926774e+01 2837.6190365
#> 1681 168.0 2100.7367 5.949118e+01 2839.7721089
#> 1682 168.1 2098.3473 5.970835e+01 2841.9443292
#> 1683 168.2 2095.9458 5.991914e+01 2844.1350396
#> 1684 168.3 2093.5330 6.012343e+01 2846.3435719
#> 1685 168.4 2091.1096 6.032113e+01 2848.5692484
#> 1686 168.5 2088.6765 6.051212e+01 2850.8113817
#> 1687 168.6 2086.2344 6.069633e+01 2853.0692759
#> 1688 168.7 2083.7841 6.087365e+01 2855.3422265
#> 1689 168.8 2081.3265 6.104399e+01 2857.6295208
#> 1690 168.9 2078.8623 6.120729e+01 2859.9304389
#> 1691 169.0 2076.3923 6.136344e+01 2862.2442535
#> 1692 169.1 2073.9174 6.151240e+01 2864.5702309
#> 1693 169.2 2071.4383 6.165407e+01 2866.9076312
#> 1694 169.3 2068.9559 6.178841e+01 2869.2557091
#> 1695 169.4 2066.4709 6.191535e+01 2871.6137140
#> 1696 169.5 2063.9843 6.203484e+01 2873.9808908
#> 1697 169.6 2061.4967 6.214684e+01 2876.3564801
#> 1698 169.7 2059.0090 6.225129e+01 2878.7397194
#> 1699 169.8 2056.5220 6.234816e+01 2881.1298428
#> 1700 169.9 2054.0365 6.243742e+01 2883.5260821
#> 1701 170.0 2051.5533 6.251904e+01 2885.9276671
#> 1702 170.1 2049.0732 6.259300e+01 2888.3338261
#> 1703 170.2 2046.5969 6.265929e+01 2890.7437866
#> 1704 170.3 2044.1253 6.271788e+01 2893.1567757
#> 1705 170.4 2041.6592 6.276878e+01 2895.5720208
#> 1706 170.5 2039.1993 6.281199e+01 2897.9887498
#> 1707 170.6 2036.7463 6.284751e+01 2900.4061919
#> 1708 170.7 2034.3011 6.287534e+01 2902.8235783
#> 1709 170.8 2031.8643 6.289551e+01 2905.2401422
#> 1710 170.9 2029.4368 6.290804e+01 2907.6551197
#> 1711 171.0 2027.0193 6.291295e+01 2910.0677502
#> 1712 171.1 2024.6125 6.291027e+01 2912.4772772
#> 1713 171.2 2022.2170 6.290004e+01 2914.8829480
#> 1714 171.3 2019.8337 6.288230e+01 2917.2840153
#> 1715 171.4 2017.4632 6.285709e+01 2919.6797366
#> 1716 171.5 2015.1062 6.282446e+01 2922.0693756
#> 1717 171.6 2012.7633 6.278448e+01 2924.4522018
#> 1718 171.7 2010.4353 6.273719e+01 2926.8274919
#> 1719 171.8 2008.1228 6.268267e+01 2929.1945293
#> 1720 171.9 2005.8264 6.262098e+01 2931.5526053
#> 1721 172.0 2003.5468 6.255219e+01 2933.9010190
#> 1722 172.1 2001.2845 6.247638e+01 2936.2390779
#> 1723 172.2 1999.0403 6.239364e+01 2938.5660985
#> 1724 172.3 1996.8146 6.230404e+01 2940.8814063
#> 1725 172.4 1994.6080 6.220768e+01 2943.1843364
#> 1726 172.5 1992.4211 6.210464e+01 2945.4742339
#> 1727 172.6 1990.2545 6.199503e+01 2947.7504539
#> 1728 172.7 1988.1087 6.187894e+01 2950.0123625
#> 1729 172.8 1985.9842 6.175647e+01 2952.2593363
#> 1730 172.9 1983.8815 6.162773e+01 2954.4907633
#> 1731 173.0 1981.8011 6.149283e+01 2956.7060429
#> 1732 173.1 1979.7435 6.135188e+01 2958.9045863
#> 1733 173.2 1977.7092 6.120499e+01 2961.0858166
#> 1734 173.3 1975.6986 6.105228e+01 2963.2491693
#> 1735 173.4 1973.7121 6.089386e+01 2965.3940920
#> 1736 173.5 1971.7501 6.072986e+01 2967.5200455
#> 1737 173.6 1969.8131 6.056039e+01 2969.6265029
#> 1738 173.7 1967.9015 6.038559e+01 2971.7129507
#> 1739 173.8 1966.0155 6.020558e+01 2973.7788883
#> 1740 173.9 1964.1557 6.002048e+01 2975.8238287
#> 1741 174.0 1962.3223 5.983043e+01 2977.8472982
#> 1742 174.1 1960.5156 5.963555e+01 2979.8488366
#> 1743 174.2 1958.7360 5.943597e+01 2981.8279975
#> 1744 174.3 1956.9838 5.923184e+01 2983.7843481
#> 1745 174.4 1955.2593 5.902327e+01 2985.7174696
#> 1746 174.5 1953.5626 5.881041e+01 2987.6269569
#> 1747 174.6 1951.8942 5.859339e+01 2989.5124190
#> 1748 174.7 1950.2542 5.837234e+01 2991.3734786
#> 1749 174.8 1948.6428 5.814740e+01 2993.2097725
#> 1750 174.9 1947.0604 5.791870e+01 2995.0209514
#> 1751 175.0 1945.5069 5.768637e+01 2996.8066800
#> 1752 175.1 1943.9828 5.745056e+01 2998.5666368
#> 1753 175.2 1942.4881 5.721140e+01 3000.3005144
#> 1754 175.3 1941.0230 5.696901e+01 3002.0080189
#> 1755 175.4 1939.5876 5.672354e+01 3003.6888704
#> 1756 175.5 1938.1821 5.647511e+01 3005.3428026
#> 1757 175.6 1936.8066 5.622386e+01 3006.9695628
#> 1758 175.7 1935.4612 5.596993e+01 3008.5689120
#> 1759 175.8 1934.1459 5.571343e+01 3010.1406244
#> 1760 175.9 1932.8610 5.545450e+01 3011.6844876
#> 1761 176.0 1931.6064 5.519328e+01 3013.2003023
#> 1762 176.1 1930.3822 5.492988e+01 3014.6878823
#> 1763 176.2 1929.1885 5.466443e+01 3016.1470544
#> 1764 176.3 1928.0253 5.439706e+01 3017.5776580
#> 1765 176.4 1926.8926 5.412789e+01 3018.9795453
#> 1766 176.5 1925.7904 5.385704e+01 3020.3525809
#> 1767 176.6 1924.7187 5.358464e+01 3021.6966416
#> 1768 176.7 1923.6776 5.331080e+01 3023.0116163
#> 1769 176.8 1922.6670 5.303564e+01 3024.2974060
#> 1770 176.9 1921.6868 5.275927e+01 3025.5539233
#> 1771 177.0 1920.7371 5.248181e+01 3026.7810924
#> 1772 177.1 1919.8178 5.220337e+01 3027.9788490
#> 1773 177.2 1918.9288 5.192406e+01 3029.1471397
#> 1774 177.3 1918.0701 5.164398e+01 3030.2859224
#> 1775 177.4 1917.2416 5.136326e+01 3031.3951654
#> 1776 177.5 1916.4432 5.108198e+01 3032.4748479
#> 1777 177.6 1915.6748 5.080025e+01 3033.5249592
#> 1778 177.7 1914.9363 5.051817e+01 3034.5454988
#> 1779 177.8 1914.2277 5.023584e+01 3035.5364761
#> 1780 177.9 1913.5487 4.995335e+01 3036.4979103
#> 1781 178.0 1912.8994 4.967081e+01 3037.4298300
#> 1782 178.1 1912.2794 4.938829e+01 3038.3322729
#> 1783 178.2 1911.6888 4.910590e+01 3039.2052860
#> 1784 178.3 1911.1274 4.882371e+01 3040.0489249
#> 1785 178.4 1910.5949 4.854182e+01 3040.8632540
#> 1786 178.5 1910.0913 4.826031e+01 3041.6483457
#> 1787 178.6 1909.6165 4.797925e+01 3042.4042811
#> 1788 178.7 1909.1701 4.769873e+01 3043.1311486
#> 1789 178.8 1908.7521 4.741883e+01 3043.8290448
#> 1790 178.9 1908.3623 4.713962e+01 3044.4980734
#> 1791 179.0 1908.0005 4.686117e+01 3045.1383457
#> 1792 179.1 1907.6665 4.658356e+01 3045.7499798
#> 1793 179.2 1907.3600 4.630685e+01 3046.3331007
#> 1794 179.3 1907.0810 4.603111e+01 3046.8878400
#> 1795 179.4 1906.8293 4.575641e+01 3047.4143358
#> 1796 179.5 1906.6045 4.548280e+01 3047.9127322
#> 1797 179.6 1906.4065 4.521035e+01 3048.3831793
#> 1798 179.7 1906.2350 4.493912e+01 3048.8258332
#> 1799 179.8 1906.0900 4.466916e+01 3049.2408554
#> 1800 179.9 1905.9711 4.440053e+01 3049.6284127
#> 1801 180.0 1905.8780 4.413328e+01 3049.9886771
#> 1802 180.1 1905.8107 4.386747e+01 3050.3218257
#> 1803 180.2 1905.7688 4.360313e+01 3050.6280403
#> 1804 180.3 1905.7522 4.334033e+01 3050.9075072
#> 1805 180.4 1905.7605 4.307910e+01 3051.1604172
#> 1806 180.5 1905.7935 4.281949e+01 3051.3869653
#> 1807 180.6 1905.8511 4.256154e+01 3051.5873505
#> 1808 180.7 1905.9329 4.230529e+01 3051.7617757
#> 1809 180.8 1906.0388 4.205079e+01 3051.9104474
#> 1810 180.9 1906.1684 4.179806e+01 3052.0335758
#> 1811 181.0 1906.3215 4.154714e+01 3052.1313743
#> 1812 181.1 1906.4979 4.129807e+01 3052.2040594
#> 1813 181.2 1906.6973 4.105088e+01 3052.2518508
#> 1814 181.3 1906.9194 4.080559e+01 3052.2749709
#> 1815 181.4 1907.1641 4.056225e+01 3052.2736450
#> 1816 181.5 1907.4310 4.032087e+01 3052.2481008
#> 1817 181.6 1907.7199 4.008149e+01 3052.1985684
#> 1818 181.7 1908.0306 3.984412e+01 3052.1252804
#> 1819 181.8 1908.3627 3.960880e+01 3052.0284712
#> 1820 181.9 1908.7161 3.937554e+01 3051.9083774
#> 1821 182.0 1909.0904 3.914437e+01 3051.7652375
#> 1822 182.1 1909.4854 3.891531e+01 3051.5992916
#> 1823 182.2 1909.9009 3.868836e+01 3051.4107815
#> 1824 182.3 1910.3365 3.846356e+01 3051.1999503
#> 1825 182.4 1910.7920 3.824092e+01 3050.9670428
#> 1826 182.5 1911.2672 3.802045e+01 3050.7123047
#> 1827 182.6 1911.7618 3.780217e+01 3050.4359831
#> 1828 182.7 1912.2756 3.758609e+01 3050.1383261
#> 1829 182.8 1912.8082 3.737223e+01 3049.8195826
#> 1830 182.9 1913.3594 3.716058e+01 3049.4800023
#> 1831 183.0 1913.9290 3.695117e+01 3049.1198358
#> 1832 183.1 1914.5167 3.674401e+01 3048.7393342
#> 1833 183.2 1915.1222 3.653909e+01 3048.3387493
#> 1834 183.3 1915.7452 3.633643e+01 3047.9183331
#> 1835 183.4 1916.3856 3.613604e+01 3047.4783382
#> 1836 183.5 1917.0431 3.593792e+01 3047.0190172
#> 1837 183.6 1917.7173 3.574208e+01 3046.5406233
#> 1838 183.7 1918.4081 3.554852e+01 3046.0434094
#> 1839 183.8 1919.1151 3.535724e+01 3045.5276287
#> 1840 183.9 1919.8382 3.516825e+01 3044.9935344
#> 1841 184.0 1920.5771 3.498154e+01 3044.4413795
#> 1842 184.1 1921.3315 3.479713e+01 3043.8714168
#> 1843 184.2 1922.1011 3.461501e+01 3043.2838989
#> 1844 184.3 1922.8857 3.443517e+01 3042.6790783
#> 1845 184.4 1923.6852 3.425763e+01 3042.0572069
#> 1846 184.5 1924.4991 3.408238e+01 3041.4185364
#> 1847 184.6 1925.3273 3.390942e+01 3040.7633179
#> 1848 184.7 1926.1695 3.373875e+01 3040.0918022
#> 1849 184.8 1927.0254 3.357036e+01 3039.4042392
#> 1850 184.9 1927.8949 3.340425e+01 3038.7008785
#> 1851 185.0 1928.7776 3.324042e+01 3037.9819691
#> 1852 185.1 1929.6734 3.307886e+01 3037.2477590
#> 1853 185.2 1930.5819 3.291957e+01 3036.4984958
#> 1854 185.3 1931.5030 3.276255e+01 3035.7344260
#> 1855 185.4 1932.4364 3.260779e+01 3034.9557958
#> 1856 185.5 1933.3819 3.245528e+01 3034.1628500
#> 1857 185.6 1934.3391 3.230503e+01 3033.3558329
#> 1858 185.7 1935.3080 3.215702e+01 3032.5349878
#> 1859 185.8 1936.2882 3.201124e+01 3031.7005571
#> 1860 185.9 1937.2795 3.186770e+01 3030.8527823
#> 1861 186.0 1938.2817 3.172639e+01 3029.9919036
#> 1862 186.1 1939.2946 3.158729e+01 3029.1181607
#> 1863 186.2 1940.3178 3.145040e+01 3028.2317919
#> 1864 186.3 1941.3513 3.131571e+01 3027.3330346
#> 1865 186.4 1942.3946 3.118322e+01 3026.4221252
#> 1866 186.5 1943.4478 3.105292e+01 3025.4992988
#> 1867 186.6 1944.5104 3.092480e+01 3024.5647897
#> 1868 186.7 1945.5823 3.079885e+01 3023.6188309
#> 1869 186.8 1946.6633 3.067507e+01 3022.6616542
#> 1870 186.9 1947.7531 3.055344e+01 3021.6934905
#> 1871 187.0 1948.8515 3.043396e+01 3020.7145694
#> 1872 187.1 1949.9583 3.031662e+01 3019.7251194
#> 1873 187.2 1951.0732 3.020140e+01 3018.7253678
#> 1874 187.3 1952.1961 3.008831e+01 3017.7155407
#> 1875 187.4 1953.3268 2.997733e+01 3016.6958631
#> 1876 187.5 1954.4650 2.986845e+01 3015.6665588
#> 1877 187.6 1955.6105 2.976167e+01 3014.6278503
#> 1878 187.7 1956.7631 2.965698e+01 3013.5799592
#> 1879 187.8 1957.9225 2.955436e+01 3012.5231054
#> 1880 187.9 1959.0887 2.945380e+01 3011.4575082
#> 1881 188.0 1960.2613 2.935531e+01 3010.3833852
#> 1882 188.1 1961.4402 2.925887e+01 3009.3009531
#> 1883 188.2 1962.6251 2.916446e+01 3008.2104274
#> 1884 188.3 1963.8159 2.907209e+01 3007.1120222
#> 1885 188.4 1965.0123 2.898174e+01 3006.0059506
#> 1886 188.5 1966.2142 2.889340e+01 3004.8924244
#> 1887 188.6 1967.4213 2.880707e+01 3003.7716543
#> 1888 188.7 1968.6334 2.872273e+01 3002.6438498
#> 1889 188.8 1969.8504 2.864038e+01 3001.5092191
#> 1890 188.9 1971.0720 2.856000e+01 3000.3679694
#> 1891 189.0 1972.2981 2.848160e+01 2999.2203068
#> 1892 189.1 1973.5284 2.840515e+01 2998.0664359
#> 1893 189.2 1974.7628 2.833065e+01 2996.9065604
#> 1894 189.3 1976.0010 2.825810e+01 2995.7408830
#> 1895 189.4 1977.2429 2.818748e+01 2994.5696048
#> 1896 189.5 1978.4883 2.811878e+01 2993.3929263
#> 1897 189.6 1979.7369 2.805200e+01 2992.2110465
#> 1898 189.7 1980.9887 2.798713e+01 2991.0241635
#> 1899 189.8 1982.2434 2.792416e+01 2989.8324742
#> 1900 189.9 1983.5007 2.786308e+01 2988.6361744
#> 1901 190.0 1984.7607 2.780389e+01 2987.4354588
#> 1902 190.1 1986.0229 2.774656e+01 2986.2305213
#> 1903 190.2 1987.2873 2.769111e+01 2985.0215544
#> 1904 190.3 1988.5537 2.763752e+01 2983.8087496
#> 1905 190.4 1989.8219 2.758577e+01 2982.5922976
#> 1906 190.5 1991.0917 2.753587e+01 2981.3723878
#> 1907 190.6 1992.3630 2.748781e+01 2980.1492087
#> 1908 190.7 1993.6355 2.744158e+01 2978.9229480
#> 1909 190.8 1994.9090 2.739717e+01 2977.6937919
#> 1910 190.9 1996.1835 2.735457e+01 2976.4619262
#> 1911 191.0 1997.4587 2.731378e+01 2975.2275353
#> 1912 191.1 1998.7344 2.727479e+01 2973.9908030
#> 1913 191.2 2000.0105 2.723759e+01 2972.7519117
#> 1914 191.3 2001.2868 2.720218e+01 2971.5110434
#> 1915 191.4 2002.5631 2.716855e+01 2970.2683787
#> 1916 191.5 2003.8392 2.713669e+01 2969.0240977
#> 1917 191.6 2005.1150 2.710660e+01 2967.7783794
#> 1918 191.7 2006.3903 2.707827e+01 2966.5314018
#> 1919 191.8 2007.6650 2.705170e+01 2965.2833424
#> 1920 191.9 2008.9388 2.702687e+01 2964.0343774
#> 1921 192.0 2010.2115 2.700378e+01 2962.7846826
#> 1922 192.1 2011.4831 2.698243e+01 2961.5344326
#> 1923 192.2 2012.7534 2.696281e+01 2960.2838013
#> 1924 192.3 2014.0221 2.694491e+01 2959.0329620
#> 1925 192.4 2015.2892 2.692874e+01 2957.7820869
#> 1926 192.5 2016.5544 2.691427e+01 2956.5313477
#> 1927 192.6 2017.8176 2.690152e+01 2955.2809150
#> 1928 192.7 2019.0786 2.689047e+01 2954.0309590
#> 1929 192.8 2020.3372 2.688111e+01 2952.7816489
#> 1930 192.9 2021.5934 2.687345e+01 2951.5331533
#> 1931 193.0 2022.8469 2.686748e+01 2950.2856399
#> 1932 193.1 2024.0975 2.686319e+01 2949.0392760
#> 1933 193.2 2025.3452 2.686057e+01 2947.7942280
#> 1934 193.3 2026.5897 2.685964e+01 2946.5506615
#> 1935 193.4 2027.8309 2.686037e+01 2945.3087416
#> 1936 193.5 2029.0686 2.686276e+01 2944.0686328
#> 1937 193.6 2030.3027 2.686682e+01 2942.8304987
#> 1938 193.7 2031.5330 2.687253e+01 2941.5945025
#> 1939 193.8 2032.7593 2.687989e+01 2940.3608066
#> 1940 193.9 2033.9815 2.688890e+01 2939.1295728
#> 1941 194.0 2035.1995 2.689956e+01 2937.9009623
#> 1942 194.1 2036.4130 2.691186e+01 2936.6751357
#> 1943 194.2 2037.6220 2.692579e+01 2935.4522531
#> 1944 194.3 2038.8262 2.694135e+01 2934.2324738
#> 1945 194.4 2040.0255 2.695855e+01 2933.0159566
#> 1946 194.5 2041.2198 2.697737e+01 2931.8028598
#> 1947 194.6 2042.4089 2.699781e+01 2930.5933412
#> 1948 194.7 2043.5926 2.701986e+01 2929.3875577
#> 1949 194.8 2044.7708 2.704354e+01 2928.1856660
#> 1950 194.9 2045.9434 2.706882e+01 2926.9878222
#> 1951 195.0 2047.1101 2.709572e+01 2925.7941816
#> 1952 195.1 2048.2709 2.712422e+01 2924.6048993
#> 1953 195.2 2049.4256 2.715432e+01 2923.4201297
#> 1954 195.3 2050.5740 2.718601e+01 2922.2400266
#> 1955 195.4 2051.7159 2.721931e+01 2921.0647435
#> 1956 195.5 2052.8514 2.725420e+01 2919.8944333
#> 1957 195.6 2053.9801 2.729067e+01 2918.7292483
#> 1958 195.7 2055.1019 2.732874e+01 2917.5693403
#> 1959 195.8 2056.2168 2.736838e+01 2916.4148607
#> 1960 195.9 2057.3244 2.740961e+01 2915.2659604
#> 1961 196.0 2058.4248 2.745241e+01 2914.1227898
#> 1962 196.1 2059.5177 2.749679e+01 2912.9854986
#> 1963 196.2 2060.6030 2.754274e+01 2911.8542363
#> 1964 196.3 2061.6806 2.759026e+01 2910.7291517
#> 1965 196.4 2062.7503 2.763934e+01 2909.6103932
#> 1966 196.5 2063.8119 2.768999e+01 2908.4981087
#> 1967 196.6 2064.8654 2.774220e+01 2907.3924455
#> 1968 196.7 2065.9105 2.779596e+01 2906.2935507
#> 1969 196.8 2066.9472 2.785128e+01 2905.2015705
#> 1970 196.9 2067.9752 2.790815e+01 2904.1166509
#> 1971 197.0 2068.9945 2.796656e+01 2903.0389372
#> 1972 197.1 2070.0049 2.802652e+01 2901.9685745
#> 1973 197.2 2071.0063 2.808802e+01 2900.9057069
#> 1974 197.3 2071.9985 2.815106e+01 2899.8504785
#> 1975 197.4 2072.9813 2.821564e+01 2898.8030325
#> 1976 197.5 2073.9547 2.828174e+01 2897.7635119
#> 1977 197.6 2074.9186 2.834937e+01 2896.7320588
#> 1978 197.7 2075.8727 2.841853e+01 2895.7088150
#> 1979 197.8 2076.8169 2.848921e+01 2894.6939218
#> 1980 197.9 2077.7511 2.856140e+01 2893.6875198
#> 1981 198.0 2078.6751 2.863511e+01 2892.6897491
#> 1982 198.1 2079.5889 2.871033e+01 2891.7007493
#> 1983 198.2 2080.4923 2.878705e+01 2890.7206592
#> 1984 198.3 2081.3851 2.886528e+01 2889.7496173
#> 1985 198.4 2082.2672 2.894500e+01 2888.7877613
#> 1986 198.5 2083.1386 2.902621e+01 2887.8352283
#> 1987 198.6 2083.9989 2.910891e+01 2886.8921549
#> 1988 198.7 2084.8482 2.919310e+01 2885.9586768
#> 1989 198.8 2085.6863 2.927876e+01 2885.0349294
#> 1990 198.9 2086.5131 2.936590e+01 2884.1210471
#> 1991 199.0 2087.3283 2.945450e+01 2883.2171639
#> 1992 199.1 2088.1320 2.954457e+01 2882.3234129
#> 1993 199.2 2088.9240 2.963610e+01 2881.4399265
#> 1994 199.3 2089.7041 2.972908e+01 2880.5668364
#> 1995 199.4 2090.4722 2.982350e+01 2879.7042736
#> 1996 199.5 2091.2283 2.991936e+01 2878.8523683
#> 1997 199.6 2091.9721 3.001666e+01 2878.0112499
#> 1998 199.7 2092.7036 3.011539e+01 2877.1810468
#> 1999 199.8 2093.4226 3.021553e+01 2876.3618870
#> 2000 199.9 2094.1290 3.031709e+01 2875.5538972
#> 2001 200.0 2094.8227 3.042006e+01 2874.7572034
#> 2002 200.1 2095.5036 3.052442e+01 2873.9719308
#> 2003 200.2 2096.1716 3.063017e+01 2873.1982035
#> 2004 200.3 2096.8265 3.073731e+01 2872.4361448
#> 2005 200.4 2097.4683 3.084582e+01 2871.6858768
#> 2006 200.5 2098.0968 3.095570e+01 2870.9475209
#> 2007 200.6 2098.7119 3.106694e+01 2870.2211972
#> 2008 200.7 2099.3135 3.117952e+01 2869.5070249
#> 2009 200.8 2099.9014 3.129344e+01 2868.8051221
#> 2010 200.9 2100.4757 3.140870e+01 2868.1156056
#> 2011 201.0 2101.0361 3.152527e+01 2867.4385913
#> 2012 201.1 2101.5827 3.164314e+01 2866.7741938
#> 2013 201.2 2102.1152 3.176232e+01 2866.1225265
#> 2014 201.3 2102.6335 3.188278e+01 2865.4837015
#> 2015 201.4 2103.1377 3.200452e+01 2864.8578298
#> 2016 201.5 2103.6275 3.212752e+01 2864.2450208
#> 2017 201.6 2104.1028 3.225177e+01 2863.6453828
#> 2018 201.7 2104.5637 3.237726e+01 2863.0590227
#> 2019 201.8 2105.0100 3.250398e+01 2862.4860458
#> 2020 201.9 2105.4415 3.263190e+01 2861.9265562
#> 2021 202.0 2105.8583 3.276103e+01 2861.3806562
#> 2022 202.1 2106.2602 3.289134e+01 2860.8484469
#> 2023 202.2 2106.6472 3.302282e+01 2860.3300276
#> 2024 202.3 2107.0191 3.315545e+01 2859.8254960
#> 2025 202.4 2107.3758 3.328922e+01 2859.3349483
#> 2026 202.5 2107.7174 3.342412e+01 2858.8584788
#> 2027 202.6 2108.0437 3.356012e+01 2858.3961804
#> 2028 202.7 2108.3546 3.369722e+01 2857.9481438
#> 2029 202.8 2108.6502 3.383538e+01 2857.5144582
#> 2030 202.9 2108.9302 3.397461e+01 2857.0952108
#> 2031 203.0 2109.1946 3.411486e+01 2856.6904869
#> 2032 203.1 2109.4435 3.425614e+01 2856.3003699
#> 2033 203.2 2109.6766 3.439842e+01 2855.9249411
#> 2034 203.3 2109.8940 3.454168e+01 2855.5642801
#> 2035 203.4 2110.0956 3.468589e+01 2855.2184639
#> 2036 203.5 2110.2814 3.483105e+01 2854.8875677
#> 2037 203.6 2110.4512 3.497713e+01 2854.5716645
#> 2038 203.7 2110.6051 3.512410e+01 2854.2708250
#> 2039 203.8 2110.7429 3.527194e+01 2853.9851176
#> 2040 203.9 2110.8647 3.542064e+01 2853.7146086
#> 2041 204.0 2110.9705 3.557017e+01 2853.4593616
#> 2042 204.1 2111.0601 3.572051e+01 2853.2194380
#> 2043 204.2 2111.1335 3.587162e+01 2852.9948968
#> 2044 204.3 2111.1907 3.602349e+01 2852.7857943
#> 2045 204.4 2111.2317 3.617610e+01 2852.5921843
#> 2046 204.5 2111.2565 3.632941e+01 2852.4141180
#> 2047 204.6 2111.2650 3.648340e+01 2852.2516440
#> 2048 204.7 2111.2571 3.663804e+01 2852.1048082
#> 2049 204.8 2111.2330 3.679331e+01 2851.9736537
#> 2050 204.9 2111.1926 3.694918e+01 2851.8582206
#> 2051 205.0 2111.1358 3.710562e+01 2851.7585464
#> 2052 205.1 2111.0627 3.726260e+01 2851.6746658
#> 2053 205.2 2110.9733 3.742009e+01 2851.6066103
#> 2054 205.3 2110.8675 3.757807e+01 2851.5544087
#> 2055 205.4 2110.7454 3.773649e+01 2851.5180864
#> 2056 205.5 2110.6070 3.789534e+01 2851.4976658
#> 2057 205.6 2110.4523 3.805458e+01 2851.4931663
#> 2058 205.7 2110.2812 3.821417e+01 2851.5046041
#> 2059 205.8 2110.0939 3.837409e+01 2851.5319920
#> 2060 205.9 2109.8904 3.853430e+01 2851.5753397
#> 2061 206.0 2109.6706 3.869478e+01 2851.6346535
#> 2062 206.1 2109.4346 3.885547e+01 2851.7099363
#> 2063 206.2 2109.1824 3.901636e+01 2851.8011878
#> 2064 206.3 2108.9142 3.917741e+01 2851.9084040
#> 2065 206.4 2108.6298 3.933858e+01 2852.0315776
#> 2066 206.5 2108.3295 3.949983e+01 2852.1706976
#> 2067 206.6 2108.0131 3.966113e+01 2852.3257494
#> 2068 206.7 2107.6808 3.982245e+01 2852.4967151
#> 2069 206.8 2107.3327 3.998374e+01 2852.6835729
#> 2070 206.9 2106.9687 4.014497e+01 2852.8862972
#> 2071 207.0 2106.5890 4.030610e+01 2853.1048590
#> 2072 207.1 2106.1937 4.046709e+01 2853.3392253
#> 2073 207.2 2105.7827 4.062791e+01 2853.5893594
#> 2074 207.3 2105.3563 4.078851e+01 2853.8552208
#> 2075 207.4 2104.9144 4.094886e+01 2854.1367651
#> 2076 207.5 2104.4571 4.110891e+01 2854.4339440
#> 2077 207.6 2103.9847 4.126863e+01 2854.7467053
#> 2078 207.7 2103.4970 4.142798e+01 2855.0749930
#> 2079 207.8 2102.9943 4.158691e+01 2855.4187469
#> 2080 207.9 2102.4767 4.174539e+01 2855.7779031
#> 2081 208.0 2101.9442 4.190337e+01 2856.1523934
#> 2082 208.1 2101.3970 4.206081e+01 2856.5421457
#> 2083 208.2 2100.8352 4.221768e+01 2856.9470840
#> 2084 208.3 2100.2590 4.237392e+01 2857.3671281
#> 2085 208.4 2099.6683 4.252950e+01 2857.8021937
#> 2086 208.5 2099.0634 4.268438e+01 2858.2521926
#> 2087 208.6 2098.4445 4.283851e+01 2858.7170322
#> 2088 208.7 2097.8115 4.299185e+01 2859.1966161
#> 2089 208.8 2097.1648 4.314436e+01 2859.6908437
#> 2090 208.9 2096.5044 4.329600e+01 2860.1996103
#> 2091 209.0 2095.8305 4.344672e+01 2860.7228070
#> 2092 209.1 2095.1432 4.359648e+01 2861.2603208
#> 2093 209.2 2094.4427 4.374523e+01 2861.8120349
#> 2094 209.3 2093.7292 4.389295e+01 2862.3778279
#> 2095 209.4 2093.0028 4.403958e+01 2862.9575748
#> 2096 209.5 2092.2638 4.418508e+01 2863.5511462
#> 2097 209.6 2091.5122 4.432940e+01 2864.1584087
#> 2098 209.7 2090.7483 4.447252e+01 2864.7792249
#> 2099 209.8 2089.9722 4.461438e+01 2865.4134534
#> 2100 209.9 2089.1841 4.475494e+01 2866.0609488
#> 2101 210.0 2088.3843 4.489416e+01 2866.7215616
#> 2102 210.1 2087.5729 4.503200e+01 2867.3951383
#> 2103 210.2 2086.7501 4.516842e+01 2868.0815216
#> 2104 210.3 2085.9161 4.530337e+01 2868.7805504
#> 2105 210.4 2085.0711 4.543683e+01 2869.4920594
#> 2106 210.5 2084.2154 4.556873e+01 2870.2158798
#> 2107 210.6 2083.3491 4.569905e+01 2870.9518387
#> 2108 210.7 2082.4725 4.582775e+01 2871.6997597
#> 2109 210.8 2081.5858 4.595479e+01 2872.4594626
#> 2110 210.9 2080.6891 4.608012e+01 2873.2307634
#> 2111 211.0 2079.7828 4.620371e+01 2874.0134746
#> 2112 211.1 2078.8671 4.632552e+01 2874.8074053
#> 2113 211.2 2077.9421 4.644552e+01 2875.6123607
#> 2114 211.3 2077.0082 4.656366e+01 2876.4281429
#> 2115 211.4 2076.0655 4.667992e+01 2877.2545505
#> 2116 211.5 2075.1144 4.679424e+01 2878.0913785
#> 2117 211.6 2074.1550 4.690661e+01 2878.9384190
#> 2118 211.7 2073.1876 4.701698e+01 2879.7954608
#> 2119 211.8 2072.2124 4.712533e+01 2880.6622893
#> 2120 211.9 2071.2297 4.723161e+01 2881.5386872
#> 2121 212.0 2070.2398 4.733580e+01 2882.4244340
#> 2122 212.1 2069.2428 4.743786e+01 2883.3193062
#> 2123 212.2 2068.2392 4.753776e+01 2884.2230776
#> 2124 212.3 2067.2290 4.763547e+01 2885.1355193
#> 2125 212.4 2066.2126 4.773097e+01 2886.0563996
#> 2126 212.5 2065.1903 4.782422e+01 2886.9854841
#> 2127 212.6 2064.1623 4.791520e+01 2887.9225360
#> 2128 212.7 2063.1288 4.800387e+01 2888.8673162
#> 2129 212.8 2062.0902 4.809022e+01 2889.8195831
#> 2130 212.9 2061.0467 4.817422e+01 2890.7790929
#> 2131 213.0 2059.9986 4.825583e+01 2891.7455996
#> 2132 213.1 2058.9461 4.833505e+01 2892.7188551
#> 2133 213.2 2057.8895 4.841185e+01 2893.6986096
#> 2134 213.3 2056.8292 4.848620e+01 2894.6846112
#> 2135 213.4 2055.7653 4.855809e+01 2895.6766063
#> 2136 213.5 2054.6982 4.862749e+01 2896.6743395
#> 2137 213.6 2053.6281 4.869439e+01 2897.6775541
#> 2138 213.7 2052.5552 4.875877e+01 2898.6859918
#> 2139 213.8 2051.4800 4.882062e+01 2899.6993929
#> 2140 213.9 2050.4026 4.887991e+01 2900.7174965
#> 2141 214.0 2049.3233 4.893663e+01 2901.7400406
#> 2142 214.1 2048.2425 4.899078e+01 2902.7667621
#> 2143 214.2 2047.1603 4.904233e+01 2903.7973970
#> 2144 214.3 2046.0770 4.909128e+01 2904.8316804
#> 2145 214.4 2044.9930 4.913762e+01 2905.8693468
#> 2146 214.5 2043.9085 4.918133e+01 2906.9101300
#> 2147 214.6 2042.8238 4.922241e+01 2907.9537634
#> 2148 214.7 2041.7392 4.926086e+01 2908.9999800
#> 2149 214.8 2040.6548 4.929666e+01 2910.0485124
#> 2150 214.9 2039.5711 4.932981e+01 2911.0990932
#> 2151 215.0 2038.4882 4.936032e+01 2912.1514549
#> 2152 215.1 2037.4065 4.938816e+01 2913.2053299
#> 2153 215.2 2036.3262 4.941336e+01 2914.2604510
#> 2154 215.3 2035.2476 4.943589e+01 2915.3165511
#> 2155 215.4 2034.1709 4.945578e+01 2916.3733636
#> 2156 215.5 2033.0964 4.947301e+01 2917.4306224
#> 2157 215.6 2032.0243 4.948759e+01 2918.4880618
#> 2158 215.7 2030.9551 4.949952e+01 2919.5454171
#> 2159 215.8 2029.8888 4.950882e+01 2920.6024242
#> 2160 215.9 2028.8257 4.951548e+01 2921.6588200
#> 2161 216.0 2027.7661 4.951951e+01 2922.7143424
#> 2162 216.1 2026.7103 4.952093e+01 2923.7687305
#> 2163 216.2 2025.6585 4.951973e+01 2924.8217246
#> 2164 216.3 2024.6110 4.951594e+01 2925.8730662
#> 2165 216.4 2023.5679 4.950956e+01 2926.9224984
#> 2166 216.5 2022.5296 4.950060e+01 2927.9697658
#> 2167 216.6 2021.4963 4.948908e+01 2929.0146146
#> 2168 216.7 2020.4682 4.947502e+01 2930.0567928
#> 2169 216.8 2019.4455 4.945842e+01 2931.0960501
#> 2170 216.9 2018.4286 4.943931e+01 2932.1321382
#> 2171 217.0 2017.4175 4.941770e+01 2933.1648109
#> 2172 217.1 2016.4126 4.939361e+01 2934.1938238
#> 2173 217.2 2015.4140 4.936706e+01 2935.2189351
#> 2174 217.3 2014.4220 4.933806e+01 2936.2399049
#> 2175 217.4 2013.4369 4.930665e+01 2937.2564958
#> 2176 217.5 2012.4587 4.927284e+01 2938.2684729
#> 2177 217.6 2011.4877 4.923665e+01 2939.2756038
#> 2178 217.7 2010.5242 4.919811e+01 2940.2776585
#> 2179 217.8 2009.5683 4.915724e+01 2941.2744101
#> 2180 217.9 2008.6203 4.911407e+01 2942.2656340
#> 2181 218.0 2007.6803 4.906862e+01 2943.2511086
#> 2182 218.1 2006.7485 4.902091e+01 2944.2306152
#> 2183 218.2 2005.8251 4.897098e+01 2945.2039382
#> 2184 218.3 2004.9103 4.891886e+01 2946.1708646
#> 2185 218.4 2004.0043 4.886456e+01 2947.1311850
#> 2186 218.5 2003.1072 4.880813e+01 2948.0846928
#> 2187 218.6 2002.2192 4.874959e+01 2949.0311846
#> 2188 218.7 2001.3406 4.868896e+01 2949.9704605
#> 2189 218.8 2000.4714 4.862629e+01 2950.9023237
#> 2190 218.9 1999.6118 4.856159e+01 2951.8265808
#> 2191 219.0 1998.7620 4.849491e+01 2952.7430419
#> 2192 219.1 1997.9222 4.842628e+01 2953.6515205
#> 2193 219.2 1997.0924 4.835573e+01 2954.5518335
#> 2194 219.3 1996.2729 4.828328e+01 2955.4438015
#> 2195 219.4 1995.4638 4.820899e+01 2956.3272486
#> 2196 219.5 1994.6651 4.813287e+01 2957.2020025
#> 2197 219.6 1993.8771 4.805496e+01 2958.0678947
#> 2198 219.7 1993.0999 4.797531e+01 2958.9247601
#> 2199 219.8 1992.3336 4.789394e+01 2959.7724376
#> 2200 219.9 1991.5783 4.781089e+01 2960.6107696
#> 2201 220.0 1990.8342 4.772619e+01 2961.4396024
#> 2202 220.1 1990.1013 4.763988e+01 2962.2587861
#> 2203 220.2 1989.3798 4.755201e+01 2963.0681745
#> 2204 220.3 1988.6698 4.746259e+01 2963.8676254
#> 2205 220.4 1987.9713 4.737168e+01 2964.6570001
#> 2206 220.5 1987.2845 4.727930e+01 2965.4361642
#> 2207 220.6 1986.6095 4.718549e+01 2966.2049867
#> 2208 220.7 1985.9464 4.709030e+01 2966.9633408
#> 2209 220.8 1985.2951 4.699375e+01 2967.7111036
#> 2210 220.9 1984.6560 4.689589e+01 2968.4481557
#> 2211 221.0 1984.0289 4.679675e+01 2969.1743819
#> 2212 221.1 1983.4140 4.669637e+01 2969.8896709
#> 2213 221.2 1982.8113 4.659479e+01 2970.5939151
#> 2214 221.3 1982.2209 4.649204e+01 2971.2870109
#> 2215 221.4 1981.6430 4.638816e+01 2971.9688585
#> 2216 221.5 1981.0774 4.628320e+01 2972.6393620
#> 2217 221.6 1980.5244 4.617717e+01 2973.2984293
#> 2218 221.7 1979.9839 4.607014e+01 2973.9459723
#> 2219 221.8 1979.4560 4.596212e+01 2974.5819065
#> 2220 221.9 1978.9407 4.585316e+01 2975.2061513
#> 2221 222.0 1978.4381 4.574329e+01 2975.8186301
#> 2222 222.1 1977.9482 4.563256e+01 2976.4192697
#> 2223 222.2 1977.4710 4.552099e+01 2977.0080010
#> 2224 222.3 1977.0066 4.540863e+01 2977.5847584
#> 2225 222.4 1976.5550 4.529550e+01 2978.1494801
#> 2226 222.5 1976.1162 4.518165e+01 2978.7021081
#> 2227 222.6 1975.6903 4.506712e+01 2979.2425878
#> 2228 222.7 1975.2772 4.495193e+01 2979.7708686
#> 2229 222.8 1974.8770 4.483612e+01 2980.2869031
#> 2230 222.9 1974.4896 4.471974e+01 2980.7906478
#> 2231 223.0 1974.1151 4.460280e+01 2981.2820627
#> 2232 223.1 1973.7535 4.448535e+01 2981.7611111
#> 2233 223.2 1973.4048 4.436743e+01 2982.2277601
#> 2234 223.3 1973.0690 4.424906e+01 2982.6819800
#> 2235 223.4 1972.7460 4.413027e+01 2983.1237445
#> 2236 223.5 1972.4359 4.401111e+01 2983.5530310
#> 2237 223.6 1972.1386 4.389161e+01 2983.9698199
#> 2238 223.7 1971.8541 4.377179e+01 2984.3740951
#> 2239 223.8 1971.5825 4.365170e+01 2984.7658436
#> 2240 223.9 1971.3236 4.353135e+01 2985.1450559
#> 2241 224.0 1971.0775 4.341079e+01 2985.5117253
#> 2242 224.1 1970.8441 4.329004e+01 2985.8658486
#> 2243 224.2 1970.6234 4.316914e+01 2986.2074256
#> 2244 224.3 1970.4154 4.304812e+01 2986.5364591
#> 2245 224.4 1970.2200 4.292700e+01 2986.8529549
#> 2246 224.5 1970.0373 4.280582e+01 2987.1569219
#> 2247 224.6 1969.8670 4.268461e+01 2987.4483718
#> 2248 224.7 1969.7093 4.256338e+01 2987.7273194
#> 2249 224.8 1969.5640 4.244219e+01 2987.9937821
#> 2250 224.9 1969.4312 4.232104e+01 2988.2477802
#> 2251 225.0 1969.3107 4.219997e+01 2988.4893370
#> 2252 225.1 1969.2025 4.207900e+01 2988.7184780
#> 2253 225.2 1969.1066 4.195817e+01 2988.9352318
#> 2254 225.3 1969.0229 4.183750e+01 2989.1396295
#> 2255 225.4 1968.9513 4.171701e+01 2989.3317047
#> 2256 225.5 1968.8918 4.159674e+01 2989.5114937
#> 2257 225.6 1968.8443 4.147670e+01 2989.6790351
#> 2258 225.7 1968.8087 4.135692e+01 2989.8343701
#> 2259 225.8 1968.7850 4.123742e+01 2989.9775421
#> 2260 225.9 1968.7732 4.111824e+01 2990.1085970
#> 2261 226.0 1968.7730 4.099938e+01 2990.2275831
#> 2262 226.1 1968.7846 4.088088e+01 2990.3345507
#> 2263 226.2 1968.8077 4.076276e+01 2990.4295525
#> 2264 226.3 1968.8423 4.064504e+01 2990.5126433
#> 2265 226.4 1968.8884 4.052774e+01 2990.5838800
#> 2266 226.5 1968.9458 4.041089e+01 2990.6433217
#> 2267 226.6 1969.0145 4.029450e+01 2990.6910294
#> 2268 226.7 1969.0943 4.017859e+01 2990.7270661
#> 2269 226.8 1969.1853 4.006318e+01 2990.7514967
#> 2270 226.9 1969.2873 3.994831e+01 2990.7643883
#> 2271 227.0 1969.4002 3.983397e+01 2990.7658094
#> 2272 227.1 1969.5240 3.972020e+01 2990.7558306
#> 2273 227.2 1969.6585 3.960700e+01 2990.7345243
#> 2274 227.3 1969.8036 3.949441e+01 2990.7019644
#> 2275 227.4 1969.9593 3.938243e+01 2990.6582266
#> 2276 227.5 1970.1255 3.927109e+01 2990.6033884
#> 2277 227.6 1970.3021 3.916040e+01 2990.5375286
#> 2278 227.7 1970.4889 3.905037e+01 2990.4607278
#> 2279 227.8 1970.6859 3.894102e+01 2990.3730679
#> 2280 227.9 1970.8930 3.883238e+01 2990.2746325
#> 2281 228.0 1971.1100 3.872445e+01 2990.1655065
#> 2282 228.1 1971.3370 3.861724e+01 2990.0457762
#> 2283 228.2 1971.5737 3.851078e+01 2989.9155292
#> 2284 228.3 1971.8201 3.840508e+01 2989.7748547
#> 2285 228.4 1972.0760 3.830015e+01 2989.6238428
#> 2286 228.5 1972.3414 3.819600e+01 2989.4625850
#> 2287 228.6 1972.6162 3.809265e+01 2989.2911741
#> 2288 228.7 1972.9002 3.799011e+01 2989.1097039
#> 2289 228.8 1973.1933 3.788840e+01 2988.9182695
#> 2290 228.9 1973.4955 3.778752e+01 2988.7169669
#> 2291 229.0 1973.8066 3.768748e+01 2988.5058933
#> 2292 229.1 1974.1265 3.758830e+01 2988.2851469
#> 2293 229.2 1974.4552 3.748999e+01 2988.0548268
#> 2294 229.3 1974.7924 3.739257e+01 2987.8150332
#> 2295 229.4 1975.1381 3.729603e+01 2987.5658671
#> 2296 229.5 1975.4922 3.720039e+01 2987.3074305
#> 2297 229.6 1975.8545 3.710566e+01 2987.0398260
#> 2298 229.7 1976.2250 3.701185e+01 2986.7631574
#> 2299 229.8 1976.6035 3.691897e+01 2986.4775291
#> 2300 229.9 1976.9899 3.682702e+01 2986.1830462
#> 2301 230.0 1977.3842 3.673603e+01 2985.8798146
#> 2302 230.1 1977.7861 3.664598e+01 2985.5679410
#> 2303 230.2 1978.1956 3.655690e+01 2985.2475326
#> 2304 230.3 1978.6125 3.646879e+01 2984.9186973
#> 2305 230.4 1979.0368 3.638166e+01 2984.5815437
#> 2306 230.5 1979.4683 3.629551e+01 2984.2361809
#> 2307 230.6 1979.9069 3.621035e+01 2983.8827186
#> 2308 230.7 1980.3525 3.612619e+01 2983.5212670
#> 2309 230.8 1980.8050 3.604304e+01 2983.1519370
#> 2310 230.9 1981.2643 3.596089e+01 2982.7748397
#> 2311 231.0 1981.7301 3.587977e+01 2982.3900867
#> 2312 231.1 1982.2025 3.579966e+01 2981.9977903
#> 2313 231.2 1982.6813 3.572059e+01 2981.5980630
#> 2314 231.3 1983.1664 3.564255e+01 2981.1910177
#> 2315 231.4 1983.6577 3.556554e+01 2980.7767677
#> 2316 231.5 1984.1550 3.548959e+01 2980.3554265
#> 2317 231.6 1984.6582 3.541467e+01 2979.9271083
#> 2318 231.7 1985.1673 3.534082e+01 2979.4919272
#> 2319 231.8 1985.6820 3.526801e+01 2979.0499978
#> 2320 231.9 1986.2023 3.519627e+01 2978.6014348
#> 2321 232.0 1986.7281 3.512559e+01 2978.1463534
#> 2322 232.1 1987.2591 3.505599e+01 2977.6848687
#> 2323 232.2 1987.7955 3.498745e+01 2977.2170961
#> 2324 232.3 1988.3369 3.491999e+01 2976.7431515
#> 2325 232.4 1988.8832 3.485360e+01 2976.2631504
#> 2326 232.5 1989.4345 3.478830e+01 2975.7772089
#> 2327 232.6 1989.9905 3.472408e+01 2975.2854430
#> 2328 232.7 1990.5511 3.466095e+01 2974.7879689
#> 2329 232.8 1991.1162 3.459890e+01 2974.2849029
#> 2330 232.9 1991.6857 3.453795e+01 2973.7763612
#> 2331 233.0 1992.2595 3.447808e+01 2973.2624604
#> 2332 233.1 1992.8374 3.441932e+01 2972.7433168
#> 2333 233.2 1993.4193 3.436165e+01 2972.2190470
#> 2334 233.3 1994.0052 3.430507e+01 2971.6897673
#> 2335 233.4 1994.5948 3.424960e+01 2971.1555944
#> 2336 233.5 1995.1881 3.419523e+01 2970.6166447
#> 2337 233.6 1995.7850 3.414196e+01 2970.0730346
#> 2338 233.7 1996.3853 3.408979e+01 2969.5248806
#> 2339 233.8 1996.9890 3.403873e+01 2968.9722990
#> 2340 233.9 1997.5958 3.398877e+01 2968.4154062
#> 2341 234.0 1998.2058 3.393992e+01 2967.8543182
#> 2342 234.1 1998.8187 3.389218e+01 2967.2891513
#> 2343 234.2 1999.4344 3.384554e+01 2966.7200215
#> 2344 234.3 2000.0529 3.380001e+01 2966.1470446
#> 2345 234.4 2000.6741 3.375559e+01 2965.5703365
#> 2346 234.5 2001.2977 3.371227e+01 2964.9900128
#> 2347 234.6 2001.9237 3.367006e+01 2964.4061890
#> 2348 234.7 2002.5521 3.362896e+01 2963.8189804
#> 2349 234.8 2003.1825 3.358897e+01 2963.2285021
#> 2350 234.9 2003.8151 3.355008e+01 2962.6348693
#> 2351 235.0 2004.4495 3.351230e+01 2962.0381966
#> 2352 235.1 2005.0858 3.347562e+01 2961.4385988
#> 2353 235.2 2005.7238 3.344006e+01 2960.8361901
#> 2354 235.3 2006.3633 3.340559e+01 2960.2310847
#> 2355 235.4 2007.0044 3.337223e+01 2959.6233967
#> 2356 235.5 2007.6468 3.333997e+01 2959.0132397
#> 2357 235.6 2008.2905 3.330882e+01 2958.4007272
#> 2358 235.7 2008.9353 3.327876e+01 2957.7859724
#> 2359 235.8 2009.5811 3.324981e+01 2957.1690883
#> 2360 235.9 2010.2279 3.322195e+01 2956.5501876
#> 2361 236.0 2010.8754 3.319520e+01 2955.9293828
#> 2362 236.1 2011.5237 3.316953e+01 2955.3067859
#> 2363 236.2 2012.1725 3.314497e+01 2954.6825088
#> 2364 236.3 2012.8218 3.312149e+01 2954.0566632
#> 2365 236.4 2013.4715 3.309911e+01 2953.4293601
#> 2366 236.5 2014.1215 3.307782e+01 2952.8007106
#> 2367 236.6 2014.7716 3.305761e+01 2952.1708253
#> 2368 236.7 2015.4217 3.303849e+01 2951.5398144
#> 2369 236.8 2016.0718 3.302046e+01 2950.9077880
#> 2370 236.9 2016.7216 3.300351e+01 2950.2748557
#> 2371 237.0 2017.3712 3.298764e+01 2949.6411267
#> 2372 237.1 2018.0204 3.297285e+01 2949.0067099
#> 2373 237.2 2018.6692 3.295913e+01 2948.3717140
#> 2374 237.3 2019.3173 3.294649e+01 2947.7362470
#> 2375 237.4 2019.9647 3.293491e+01 2947.1004169
#> 2376 237.5 2020.6113 3.292441e+01 2946.4643311
#> 2377 237.6 2021.2569 3.291498e+01 2945.8280967
#> 2378 237.7 2021.9016 3.290660e+01 2945.1918202
#> 2379 237.8 2022.5451 3.289929e+01 2944.5556081
#> 2380 237.9 2023.1874 3.289304e+01 2943.9195661
#> 2381 238.0 2023.8284 3.288785e+01 2943.2837998
#> 2382 238.1 2024.4679 3.288371e+01 2942.6484142
#> 2383 238.2 2025.1059 3.288062e+01 2942.0135139
#> 2384 238.3 2025.7422 3.287858e+01 2941.3792031
#> 2385 238.4 2026.3768 3.287758e+01 2940.7455857
#> 2386 238.5 2027.0096 3.287762e+01 2940.1127648
#> 2387 238.6 2027.6405 3.287870e+01 2939.4808435
#> 2388 238.7 2028.2693 3.288082e+01 2938.8499242
#> 2389 238.8 2028.8959 3.288397e+01 2938.2201087
#> 2390 238.9 2029.5203 3.288815e+01 2937.5914988
#> 2391 239.0 2030.1424 3.289336e+01 2936.9641954
#> 2392 239.1 2030.7621 3.289958e+01 2936.3382991
#> 2393 239.2 2031.3793 3.290683e+01 2935.7139099
#> 2394 239.3 2031.9938 3.291509e+01 2935.0911276
#> 2395 239.4 2032.6056 3.292436e+01 2934.4700512
#> 2396 239.5 2033.2146 3.293464e+01 2933.8507794
#> 2397 239.6 2033.8207 3.294593e+01 2933.2334103
#> 2398 239.7 2034.4237 3.295821e+01 2932.6180414
#> 2399 239.8 2035.0237 3.297149e+01 2932.0047699
#> 2400 239.9 2035.6205 3.298576e+01 2931.3936923
#> 2401 240.0 2036.2141 3.300102e+01 2930.7849047
#> 2402 240.1 2036.8042 3.301727e+01 2930.1785026
#> 2403 240.2 2037.3909 3.303449e+01 2929.5745809
#> 2404 240.3 2037.9741 3.305270e+01 2928.9732341
#> 2405 240.4 2038.5536 3.307187e+01 2928.3745559
#> 2406 240.5 2039.1294 3.309201e+01 2927.7786397
#> 2407 240.6 2039.7013 3.311311e+01 2927.1855782
#> 2408 240.7 2040.2694 3.313517e+01 2926.5954636
#> 2409 240.8 2040.8334 3.315818e+01 2926.0083874
#> 2410 240.9 2041.3934 3.318214e+01 2925.4244405
#> 2411 241.0 2041.9492 3.320704e+01 2924.8437134
#> 2412 241.1 2042.5008 3.323289e+01 2924.2662958
#> 2413 241.2 2043.0481 3.325966e+01 2923.6922768
#> 2414 241.3 2043.5909 3.328737e+01 2923.1217451
#> 2415 241.4 2044.1292 3.331600e+01 2922.5547885
#> 2416 241.5 2044.6630 3.334555e+01 2921.9914942
#> 2417 241.6 2045.1920 3.337601e+01 2921.4319490
#> 2418 241.7 2045.7164 3.340737e+01 2920.8762387
#> 2419 241.8 2046.2359 3.343964e+01 2920.3244487
#> 2420 241.9 2046.7505 3.347281e+01 2919.7766637
#> 2421 242.0 2047.2602 3.350687e+01 2919.2329677
#> 2422 242.1 2047.7647 3.354181e+01 2918.6934438
#> 2423 242.2 2048.2642 3.357763e+01 2918.1581748
#> 2424 242.3 2048.7584 3.361433e+01 2917.6272425
#> 2425 242.4 2049.2474 3.365189e+01 2917.1007281
#> 2426 242.5 2049.7310 3.369031e+01 2916.5787121
#> 2427 242.6 2050.2091 3.372959e+01 2916.0612743
#> 2428 242.7 2050.6818 3.376972e+01 2915.5484936
#> 2429 242.8 2051.1489 3.381069e+01 2915.0404484
#> 2430 242.9 2051.6103 3.385249e+01 2914.5372161
#> 2431 243.0 2052.0660 3.389513e+01 2914.0388734
#> 2432 243.1 2052.5159 3.393858e+01 2913.5454965
#> 2433 243.2 2052.9600 3.398285e+01 2913.0571604
#> 2434 243.3 2053.3981 3.402793e+01 2912.5739395
#> 2435 243.4 2053.8303 3.407381e+01 2912.0959076
#> 2436 243.5 2054.2564 3.412049e+01 2911.6231372
#> 2437 243.6 2054.6764 3.416795e+01 2911.1557006
#> 2438 243.7 2055.0901 3.421619e+01 2910.6936686
#> 2439 243.8 2055.4977 3.426520e+01 2910.2371117
#> 2440 243.9 2055.8989 3.431498e+01 2909.7860994
#> 2441 244.0 2056.2938 3.436551e+01 2909.3407000
#> 2442 244.1 2056.6822 3.441679e+01 2908.9009815
#> 2443 244.2 2057.0642 3.446881e+01 2908.4670106
#> 2444 244.3 2057.4396 3.452156e+01 2908.0388531
#> 2445 244.4 2057.8084 3.457504e+01 2907.6165743
#> 2446 244.5 2058.1705 3.462923e+01 2907.2002380
#> 2447 244.6 2058.5260 3.468413e+01 2906.7899076
#> 2448 244.7 2058.8746 3.473973e+01 2906.3856452
#> 2449 244.8 2059.2165 3.479602e+01 2905.9875122
#> 2450 244.9 2059.5514 3.485299e+01 2905.5955689
#> 2451 245.0 2059.8795 3.491063e+01 2905.2098745
#> 2452 245.1 2060.2006 3.496893e+01 2904.8304876
#> 2453 245.2 2060.5146 3.502789e+01 2904.4574654
#> 2454 245.3 2060.8216 3.508749e+01 2904.0908644
#> 2455 245.4 2061.1215 3.514773e+01 2903.7307398
#> 2456 245.5 2061.4143 3.520859e+01 2903.3771460
#> 2457 245.6 2061.6998 3.527007e+01 2903.0301363
#> 2458 245.7 2061.9781 3.533215e+01 2902.6897628
#> 2459 245.8 2062.2491 3.539483e+01 2902.3560768
#> 2460 245.9 2062.5128 3.545809e+01 2902.0291283
#> 2461 246.0 2062.7691 3.552193e+01 2901.7089663
#> 2462 246.1 2063.0180 3.558633e+01 2901.3956387
#> 2463 246.2 2063.2595 3.565128e+01 2901.0891922
#> 2464 246.3 2063.4935 3.571678e+01 2900.7896726
#> 2465 246.4 2063.7201 3.578281e+01 2900.4971242
#> 2466 246.5 2063.9390 3.584937e+01 2900.2115906
#> 2467 246.6 2064.1505 3.591643e+01 2899.9331138
#> 2468 246.7 2064.3543 3.598399e+01 2899.6617349
#> 2469 246.8 2064.5505 3.605204e+01 2899.3974937
#> 2470 246.9 2064.7390 3.612057e+01 2899.1404290
#> 2471 247.0 2064.9199 3.618956e+01 2898.8905780
#> 2472 247.1 2065.0930 3.625900e+01 2898.6479771
#> 2473 247.2 2065.2585 3.632888e+01 2898.4126612
#> 2474 247.3 2065.4161 3.639919e+01 2898.1846641
#> 2475 247.4 2065.5661 3.646992e+01 2897.9640182
#> 2476 247.5 2065.7082 3.654106e+01 2897.7507548
#> 2477 247.6 2065.8425 3.661258e+01 2897.5449038
#> 2478 247.7 2065.9690 3.668448e+01 2897.3464939
#> 2479 247.8 2066.0877 3.675675e+01 2897.1555523
#> 2480 247.9 2066.1985 3.682938e+01 2896.9721052
#> 2481 248.0 2066.3015 3.690234e+01 2896.7961772
#> 2482 248.1 2066.3966 3.697564e+01 2896.6277917
#> 2483 248.2 2066.4838 3.704924e+01 2896.4669708
#> 2484 248.3 2066.5631 3.712315e+01 2896.3137351
#> 2485 248.4 2066.6345 3.719735e+01 2896.1681040
#> 2486 248.5 2066.6981 3.727182e+01 2896.0300953
#> 2487 248.6 2066.7537 3.734655e+01 2895.8997257
#> 2488 248.7 2066.8015 3.742152e+01 2895.7770103
#> 2489 248.8 2066.8413 3.749673e+01 2895.6619627
#> 2490 248.9 2066.8732 3.757216e+01 2895.5545954
#> 2491 249.0 2066.8973 3.764779e+01 2895.4549193
#> 2492 249.1 2066.9134 3.772362e+01 2895.3629438
#> 2493 249.2 2066.9217 3.779961e+01 2895.2786769
#> 2494 249.3 2066.9221 3.787577e+01 2895.2021253
#> 2495 249.4 2066.9146 3.795208e+01 2895.1332939
#> 2496 249.5 2066.8993 3.802852e+01 2895.0721866
#> 2497 249.6 2066.8761 3.810507e+01 2895.0188054
#> 2498 249.7 2066.8451 3.818173e+01 2894.9731510
#> 2499 249.8 2066.8063 3.825848e+01 2894.9352226
#> 2500 249.9 2066.7597 3.833529e+01 2894.9050179
#> 2501 250.0 2066.7053 3.841217e+01 2894.8825331
#>
#> attr(,"class")
#> [1] "sir_basic_model"