Monocentric City Modeling

I extended the work of (Wu and Plantinga 2003) using R and certain equation modififications to investigate how the addition of a light rail line would influence a city.

Cities have housed most of the human race since 2004 and as a result influence most of the individual, commercial, and industrial energy and GHG patterns. However, city designs, have placed amenities in isolated suburban pockets, the abundance of roads have encouraged sprawl, and zoning laws have discouraged density. Therefore, for this study I will investigate how these choices can positively or negatively influence a city’s environmental footprint.

I extended the work of (Wu and Plantinga 2003) using R and certain equation modififications to investigate how the addition of a light rail line would influence a city. First, I tried to replicate their city without any parks using their parameters. Second, I made some modifications to get the city to a scale that I could represent graphically. Third, I modeled the light rail as an amenity to see the influence it has on the city. Finally, I modeled the light rail so that it reduced travel costs for the citizens close to it instead of providing an amenity value. The parameters I used where nearly identical to the (Wu and Plantinga 2003) parameters; however I did have to make some minor modifications. The given utility produced a much larger area then was graphically tractable, so I increased it to 6,000 for all the models excluding the original monocentric model which uses the original utility value. The transport cost for the rail is set to half of the normal transport costs (t¬¬rail=$500). The original parameters are shown in Table 1.

Wu, Jun Jie, and Andrew J. Plantinga. 2003. “The Influence of Public Open Space on Urban Spatial Structure.” Journal of Environmental Economics and Management 46 (2): 288–309. https://doi.org/10.1016/S0095-0696(03)00023-8.

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library("nleqslv")
#library(circlize)
#budget 
y <- 40000
#distance from center (miles) vector
x <- c(0:25)
#transportation cost 50 cents a mile by 320 days
t <- 1000
#housing price per sqft vector
p <- c(0:25)
#housing consumption (sqft) by mile vector
q <- c(0:25)
#general good
g <- c(0:25)
#utility level
V <- 2702
#alpha for Cobb Douglas
al <- .5
#beta for development cobb-douglas
bt <- 4/3
#capital 
c0 <- 0
#land acres
l <- .5
#interest
i <- .03
#land rent/acre
r <- c(0:25)
#Housing floor space / acre
s <- c(0:25)
#ag rent
ag <- 1000

The equations are also nearly identical to the (Wu and Plantinga 2003) equations. I used the equations and the given parameters to calculate the optimal values at each point (u,v) for housing price (p), housing consumption (q), good consumption (g), land rent (r), housing floor space per area (s), and amenity. These optimal equations naturally satisfy the equilibrium conditions : no house moves because house prices are bid up to their maximum, no business profits because land rents are bid up to the max, the price that households are willing to pay is equal to the price businesses are willing to accept, and the floor space equals the total supply. The final equilibrium conditions that the land rent is equal to the agriculture rent at the city boundary is solved for numerically in the model.

#monocentric original model parameters

u <- c(1:50)
v <- c(1:50)

#new u,v

i <- 0
j <- 0
ii <- 1

while(i < 51){
  
  j <- 0
  while(j < 51){
  u[ii] <- i - 25
  v[ii] <- j - 25
  j <- j+1
  ii <- ii+1
  }
  
  i <- i +1
  
  }


#finding x for various u,v
x <- sqrt(u^2+v^2)

#finding the price for various x
p <- (al^al*(1-al)^(1-al)*(y-t*x)/V)^(1/al)

#optimal q
q <- al*(y-t*x)/p

#optimal g
g <- (1-al)*(y-t*x)


#theta some funciton of beta
ph <- ((bt-1)^((bt-1)/bt))/bt

#optimal r

r <- (ph*p)^(bt/(bt-1))

r1 <- ((ph*al)^al * (1-al)^(1-al) * (y-t*x)/V)^(bt/(al*(bt-1)))

#optimal s
s <- (p/bt)^(1/(bt-1))

s1 <- (bt-1)^(-1/bt) * (r)^(1/bt)

#Utility Value

U <- q^al*g^(1-al)


#population n s(floorspaceperacre/ floorspace per household * (size of square (sqmi)) * acres/sqmi * fraction of housing in area)
n <- s/q * 1 * 640 * .25 



dfsc <- data.frame(u,v,x,p,g,q,s,r,U,n)

#delete values where ag rent exceeds land rent
dfsc1 <- dfsc[(dfsc$r > ag),]

dfsc1
##        u   v         x         p         g        q          s          r    U
## 127  -23  -1 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
## 128  -23   0 23.000000  9.896170  8500.000 858.9181   408.8700   1011.562 2702
## 129  -23   1 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
## 173  -22  -6 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 174  -22  -5 22.561028 10.413844  8719.486 837.2975   476.4496   1240.418 2702
## 175  -22  -4 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 176  -22  -3 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 177  -22  -2 22.090722 10.983114  8954.639 815.3097   558.9336   1534.708 2702
## 178  -22  -1 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 179  -22   0 22.000000 11.094668  9000.000 811.2004   576.1383   1598.016 2702
## 180  -22   1 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 181  -22   2 22.090722 10.983114  8954.639 815.3097   558.9336   1534.708 2702
## 182  -22   3 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 183  -22   4 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 184  -22   5 22.561028 10.413844  8719.486 837.2975   476.4496   1240.418 2702
## 185  -22   6 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 221  -21  -9 22.847319 10.074728  8576.340 851.2727   431.4036   1086.568 2702
## 222  -21  -8 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 223  -21  -7 22.135944 10.927718  8932.028 817.3736   550.5189   1503.979 2702
## 224  -21  -6 21.840330 11.292374  9079.835 804.0679   607.4905   1715.002 2702
## 225  -21  -5 21.587033 11.609589  9206.483 793.0068   660.1375   1915.981 2702
## 226  -21  -4 21.377558 11.875245  9311.221 784.0867   706.4989   2097.462 2702
## 227  -21  -3 21.213203 12.085783  9393.398 777.2271   744.7459   2250.209 2702
## 228  -21  -2 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 229  -21  -1 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 230  -21   0 21.000000 12.361652  9500.000 768.5057   796.9175   2462.804 2702
## 231  -21   1 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 232  -21   2 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 233  -21   3 21.213203 12.085783  9393.398 777.2271   744.7459   2250.209 2702
## 234  -21   4 21.377558 11.875245  9311.221 784.0867   706.4989   2097.462 2702
## 235  -21   5 21.587033 11.609589  9206.483 793.0068   660.1375   1915.981 2702
## 236  -21   6 21.840330 11.292374  9079.835 804.0679   607.4905   1715.002 2702
## 237  -21   7 22.135944 10.927718  8932.028 817.3736   550.5189   1503.979 2702
## 238  -21   8 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 239  -21   9 22.847319 10.074728  8576.340 851.2727   431.4036   1086.568 2702
## 270  -20 -11 22.825424 10.100464  8587.288 850.1874   434.7182   1097.714 2702
## 271  -20 -10 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 272  -20  -9 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 273  -20  -8 21.540659 11.668142  9229.670 791.0146   670.1760   1954.927 2702
## 274  -20  -7 21.189620 12.116145  9405.190 776.2527   750.3729   2272.907 2702
## 275  -20  -6 20.880613 12.517490  9559.693 763.7069   827.4381   2589.362 2702
## 276  -20  -5 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 277  -20  -4 20.396078 13.159981  9801.961 744.8310   961.5005   3163.332 2702
## 278  -20  -3 20.223748 13.392365  9888.126 738.3405  1013.3410   3392.758 2702
## 279  -20  -2 20.099751 13.560832  9950.124 733.7400  1052.0655   3566.721 2702
## 280  -20  -1 20.024984 13.662922  9987.508 730.9936  1076.0056   3675.345 2702
## 281  -20   0 20.000000 13.697122 10000.000 730.0804  1084.1059   3712.283 2702
## 282  -20   1 20.024984 13.662922  9987.508 730.9936  1076.0056   3675.345 2702
## 283  -20   2 20.099751 13.560832  9950.124 733.7400  1052.0655   3566.721 2702
## 284  -20   3 20.223748 13.392365  9888.126 738.3405  1013.3410   3392.758 2702
## 285  -20   4 20.396078 13.159981  9801.961 744.8310   961.5005   3163.332 2702
## 286  -20   5 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 287  -20   6 20.880613 12.517490  9559.693 763.7069   827.4381   2589.362 2702
## 288  -20   7 21.189620 12.116145  9405.190 776.2527   750.3729   2272.907 2702
## 289  -20   8 21.540659 11.668142  9229.670 791.0146   670.1760   1954.927 2702
## 290  -20   9 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 291  -20  10 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 292  -20  11 22.825424 10.100464  8587.288 850.1874   434.7182   1097.714 2702
## 319  -19 -13 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
## 320  -19 -12 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 321  -19 -11 21.954498 11.150831  9022.751 809.1550   584.9322   1630.620 2702
## 322  -19 -10 21.470911 11.756484  9264.545 788.0370   685.5138   2014.808 2702
## 323  -19  -9 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 324  -19  -8 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 325  -19  -7 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 326  -19  -6 19.924859 13.800237 10037.571 727.3477  1108.7749   3825.339 2702
## 327  -19  -5 19.646883 14.185060 10176.559 717.4138  1204.1410   4270.203 2702
## 328  -19  -4 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 329  -19  -3 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 330  -19  -2 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 331  -19  -1 19.026298 15.063279 10486.851 696.1865  1441.9240   5430.026 2702
## 332  -19   0 19.000000 15.101077 10500.000 695.3147  1452.8056   5484.732 2702
## 333  -19   1 19.026298 15.063279 10486.851 696.1865  1441.9240   5430.026 2702
## 334  -19   2 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 335  -19   3 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 336  -19   4 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 337  -19   5 19.646883 14.185060 10176.559 717.4138  1204.1410   4270.203 2702
## 338  -19   6 19.924859 13.800237 10037.571 727.3477  1108.7749   3825.339 2702
## 339  -19   7 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 340  -19   8 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 341  -19   9 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 342  -19  10 21.470911 11.756484  9264.545 788.0370   685.5138   2014.808 2702
## 343  -19  11 21.954498 11.150831  9022.751 809.1550   584.9322   1630.620 2702
## 344  -19  12 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 345  -19  13 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
## 369  -18 -14 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 370  -18 -13 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 371  -18 -12 21.633308 11.551310  9183.346 795.0048   650.2457   1877.797 2702
## 372  -18 -11 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 373  -18 -10 20.591260 12.899236  9704.370 752.3213   905.4735   2919.979 2702
## 374  -18  -9 20.124612 13.526971  9937.694 734.6578  1044.2043   3531.230 2702
## 375  -18  -8 19.697716 14.114293 10151.142 719.2101  1186.2089   4185.625 2702
## 376  -18  -7 19.313208 14.653981 10343.396 705.8421  1327.5493   4863.470 2702
## 377  -18  -6 18.973666 15.138974 10513.167 694.4438  1463.7709   5539.997 2702
## 378  -18  -5 18.681542 15.562555 10659.229 684.9280  1590.1076   6186.534 2702
## 379  -18  -4 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 380  -18  -3 18.248288 16.201537 10875.856 671.2854  1794.1240   7266.892 2702
## 381  -18  -2 18.110770 16.407042 10944.615 667.0682  1863.2650   7642.667 2702
## 382  -18  -1 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 383  -18   0 18.000000 16.573517 11000.000 663.7095  1920.5598   7957.608 2702
## 384  -18   1 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 385  -18   2 18.110770 16.407042 10944.615 667.0682  1863.2650   7642.667 2702
## 386  -18   3 18.248288 16.201537 10875.856 671.2854  1794.1240   7266.892 2702
## 387  -18   4 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 388  -18   5 18.681542 15.562555 10659.229 684.9280  1590.1076   6186.534 2702
## 389  -18   6 18.973666 15.138974 10513.167 694.4438  1463.7709   5539.997 2702
## 390  -18   7 19.313208 14.653981 10343.396 705.8421  1327.5493   4863.470 2702
## 391  -18   8 19.697716 14.114293 10151.142 719.2101  1186.2089   4185.625 2702
## 392  -18   9 20.124612 13.526971  9937.694 734.6578  1044.2043   3531.230 2702
## 393  -18  10 20.591260 12.899236  9704.370 752.3213   905.4735   2919.979 2702
## 394  -18  11 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 395  -18  12 21.633308 11.551310  9183.346 795.0048   650.2457   1877.797 2702
## 396  -18  13 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 397  -18  14 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 419  -17 -15 22.671568 10.282243  8664.216 842.6387   458.6140   1178.895 2702
## 420  -17 -14 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 421  -17 -13 21.400935 11.845450  9299.533 785.0721   701.1945   2076.491 2702
## 422  -17 -12 20.808652 12.611893  9595.674 760.8433   846.3006   2668.363 2702
## 423  -17 -11 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 424  -17 -10 19.723083 14.079044 10138.459 720.1099  1177.3438   4143.969 2702
## 425  -17  -9 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 426  -17  -8 18.788294 15.407086 10605.853 688.3750  1542.9268   5943.001 2702
## 427  -17  -7 18.384776 15.998851 10807.612 675.5243  1727.6277   6910.014 2702
## 428  -17  -6 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 429  -17  -5 17.720045 16.998004 11139.977 655.3697  2071.9420   8804.720 2702
## 430  -17  -4 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 431  -17  -3 17.262677 17.703046 11368.662 642.1868  2340.6032  10358.952 2702
## 432  -17  -2 17.117243 17.930237 11441.379 638.1053  2431.8785  10901.039 2702
## 433  -17  -1 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 434  -17   0 17.000000 18.114443 11500.000 634.8525  2507.6029  11355.958 2702
## 435  -17   1 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 436  -17   2 17.117243 17.930237 11441.379 638.1053  2431.8785  10901.039 2702
## 437  -17   3 17.262677 17.703046 11368.662 642.1868  2340.6032  10358.952 2702
## 438  -17   4 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 439  -17   5 17.720045 16.998004 11139.977 655.3697  2071.9420   8804.720 2702
## 440  -17   6 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 441  -17   7 18.384776 15.998851 10807.612 675.5243  1727.6277   6910.014 2702
## 442  -17   8 18.788294 15.407086 10605.853 688.3750  1542.9268   5943.001 2702
## 443  -17   9 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 444  -17  10 19.723083 14.079044 10138.459 720.1099  1177.3438   4143.969 2702
## 445  -17  11 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 446  -17  12 20.808652 12.611893  9595.674 760.8433   846.3006   2668.363 2702
## 447  -17  13 21.400935 11.845450  9299.533 785.0721   701.1945   2076.491 2702
## 448  -17  14 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 449  -17  15 22.671568 10.282243  8664.216 842.6387   458.6140   1178.895 2702
## 469  -16 -16 22.627417 10.334706  8686.292 840.4972   465.6698   1203.140 2702
## 470  -16 -15 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 471  -16 -14 21.260292 12.025274  9369.854 779.1801   733.6159   2205.483 2702
## 472  -16 -13 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 473  -16 -12 20.000000 13.697122 10000.000 730.0804  1084.1059   3712.283 2702
## 474  -16 -11 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 475  -16 -10 18.867962 15.291570 10566.019 690.9702  1508.4816   5766.763 2702
## 476  -16  -9 18.357560 16.039166 10821.220 674.6748  1740.7208   6979.927 2702
## 477  -16  -8 17.888544 16.741872 11055.728 660.3639  1979.6837   8285.903 2702
## 478  -16  -7 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 479  -16  -6 17.088007 17.976082 11455.996 637.2911  2450.5801  11012.957 2702
## 480  -16  -5 16.763055 18.489595 11618.473 628.3790  2666.6497  12326.318 2702
## 481  -16  -4 16.492423 18.922786 11753.789 621.1447  2858.5053  13522.721 2702
## 482  -16  -3 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 483  -16  -2 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 484  -16  -1 16.031220 19.672574 11984.390 609.1928  3211.9396  15796.780 2702
## 485  -16   0 16.000000 19.723855 12000.000 608.4003  3237.1230  15962.136 2702
## 486  -16   1 16.031220 19.672574 11984.390 609.1928  3211.9396  15796.780 2702
## 487  -16   2 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 488  -16   3 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 489  -16   4 16.492423 18.922786 11753.789 621.1447  2858.5053  13522.721 2702
## 490  -16   5 16.763055 18.489595 11618.473 628.3790  2666.6497  12326.318 2702
## 491  -16   6 17.088007 17.976082 11455.996 637.2911  2450.5801  11012.957 2702
## 492  -16   7 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 493  -16   8 17.888544 16.741872 11055.728 660.3639  1979.6837   8285.903 2702
## 494  -16   9 18.357560 16.039166 10821.220 674.6748  1740.7208   6979.927 2702
## 495  -16  10 18.867962 15.291570 10566.019 690.9702  1508.4816   5766.763 2702
## 496  -16  11 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 497  -16  12 20.000000 13.697122 10000.000 730.0804  1084.1059   3712.283 2702
## 498  -16  13 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 499  -16  14 21.260292 12.025274  9369.854 779.1801   733.6159   2205.483 2702
## 500  -16  15 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 501  -16  16 22.627417 10.334706  8686.292 840.4972   465.6698   1203.140 2702
## 519  -15 -17 22.671568 10.282243  8664.216 842.6387   458.6140   1178.895 2702
## 520  -15 -16 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 521  -15 -15 21.213203 12.085783  9393.398 777.2271   744.7459   2250.209 2702
## 522  -15 -14 20.518285 12.996419  9740.858 749.5032   926.0937   3008.975 2702
## 523  -15 -13 19.849433 13.904131 10075.283 724.6252  1134.0060   3941.842 2702
## 524  -15 -12 19.209373 14.801458 10395.314 702.3169  1368.0353   5062.229 2702
## 525  -15 -11 18.601075 15.680259 10699.462 682.3524  1626.4603   6375.829 2702
## 526  -15 -10 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 527  -15  -9 17.492856 17.346430 11253.572 648.7544  2201.9838   9549.140 2702
## 528  -15  -8 17.000000 18.114443 11500.000 634.8525  2507.6029  11355.958 2702
## 529  -15  -7 16.552945 18.825474 11723.527 622.7481  2814.6314  13246.692 2702
## 530  -15  -6 16.155494 19.469104 11922.253 612.3678  3113.3051  15153.315 2702
## 531  -15  -5 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 532  -15  -4 15.524175 20.513700 12237.913 596.5727  3641.7977  18676.687 2702
## 533  -15  -3 15.297059 20.896168 12351.471 591.0878  3849.3178  20108.998 2702
## 534  -15  -2 15.132746 21.175076 12433.627 587.1822  4005.5184  21204.290 2702
## 535  -15  -1 15.033296 21.344782 12483.352 584.8432  4102.5982  21892.266 2702
## 536  -15   0 15.000000 21.401752 12500.000 584.0643  4135.5359  22126.929 2702
## 537  -15   1 15.033296 21.344782 12483.352 584.8432  4102.5982  21892.266 2702
## 538  -15   2 15.132746 21.175076 12433.627 587.1822  4005.5184  21204.290 2702
## 539  -15   3 15.297059 20.896168 12351.471 591.0878  3849.3178  20108.998 2702
## 540  -15   4 15.524175 20.513700 12237.913 596.5727  3641.7977  18676.687 2702
## 541  -15   5 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 542  -15   6 16.155494 19.469104 11922.253 612.3678  3113.3051  15153.315 2702
## 543  -15   7 16.552945 18.825474 11723.527 622.7481  2814.6314  13246.692 2702
## 544  -15   8 17.000000 18.114443 11500.000 634.8525  2507.6029  11355.958 2702
## 545  -15   9 17.492856 17.346430 11253.572 648.7544  2201.9838   9549.140 2702
## 546  -15  10 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 547  -15  11 18.601075 15.680259 10699.462 682.3524  1626.4603   6375.829 2702
## 548  -15  12 19.209373 14.801458 10395.314 702.3169  1368.0353   5062.229 2702
## 549  -15  13 19.849433 13.904131 10075.283 724.6252  1134.0060   3941.842 2702
## 550  -15  14 20.518285 12.996419  9740.858 749.5032   926.0937   3008.975 2702
## 551  -15  15 21.213203 12.085783  9393.398 777.2271   744.7459   2250.209 2702
## 552  -15  16 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 553  -15  17 22.671568 10.282243  8664.216 842.6387   458.6140   1178.895 2702
## 569  -14 -18 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 570  -14 -17 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 571  -14 -16 21.260292 12.025274  9369.854 779.1801   733.6159   2205.483 2702
## 572  -14 -15 20.518285 12.996419  9740.858 749.5032   926.0937   3008.975 2702
## 573  -14 -14 19.798990 13.973831 10100.505 722.8157  1151.1456   4021.479 2702
## 574  -14 -13 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 575  -14 -12 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 576  -14 -11 17.804494 16.869392 11097.753 657.8633  2025.2660   8541.251 2702
## 577  -14 -10 17.204651 17.793518 11397.675 640.5521  2376.6721  10572.340 2702
## 578  -14  -9 16.643317 18.680636 11678.342 625.1576  2750.1650  12843.708 2702
## 579  -14  -8 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 580  -14  -7 15.652476 20.299200 12173.762 599.7163  3528.7475  17907.688 2702
## 581  -14  -6 15.231546 21.007149 12384.227 589.5244  3910.9758  20539.612 2702
## 582  -14  -5 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 583  -14  -4 14.560220 22.161341 12719.890 573.9675  4591.6828  25439.462 2702
## 584  -14  -3 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 585  -14  -2 14.142136 22.895737 12928.932 564.6873  5063.4633  28982.931 2702
## 586  -14  -1 14.035669 23.084666 12982.166 562.3718  5189.8474  29951.473 2702
## 587  -14   0 14.000000 23.148135 13000.000 561.6003  5232.7723  30282.230 2702
## 588  -14   1 14.035669 23.084666 12982.166 562.3718  5189.8474  29951.473 2702
## 589  -14   2 14.142136 22.895737 12928.932 564.6873  5063.4633  28982.931 2702
## 590  -14   3 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 591  -14   4 14.560220 22.161341 12719.890 573.9675  4591.6828  25439.462 2702
## 592  -14   5 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 593  -14   6 15.231546 21.007149 12384.227 589.5244  3910.9758  20539.612 2702
## 594  -14   7 15.652476 20.299200 12173.762 599.7163  3528.7475  17907.688 2702
## 595  -14   8 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 596  -14   9 16.643317 18.680636 11678.342 625.1576  2750.1650  12843.708 2702
## 597  -14  10 17.204651 17.793518 11397.675 640.5521  2376.6721  10572.340 2702
## 598  -14  11 17.804494 16.869392 11097.753 657.8633  2025.2660   8541.251 2702
## 599  -14  12 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 600  -14  13 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 601  -14  14 19.798990 13.973831 10100.505 722.8157  1151.1456   4021.479 2702
## 602  -14  15 20.518285 12.996419  9740.858 749.5032   926.0937   3008.975 2702
## 603  -14  16 21.260292 12.025274  9369.854 779.1801   733.6159   2205.483 2702
## 604  -14  17 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 605  -14  18 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 619  -13 -19 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
## 620  -13 -18 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 621  -13 -17 21.400935 11.845450  9299.533 785.0721   701.1945   2076.491 2702
## 622  -13 -16 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 623  -13 -15 19.849433 13.904131 10075.283 724.6252  1134.0060   3941.842 2702
## 624  -13 -14 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 625  -13 -13 18.384776 15.998851 10807.612 675.5243  1727.6277   6910.014 2702
## 626  -13 -12 17.691806 17.041120 11154.097 654.5401  2087.7487   8894.394 2702
## 627  -13 -11 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 628  -13 -10 16.401219 19.069901 11799.390 618.7442  2925.6955  13948.181 2702
## 629  -13  -9 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 630  -13  -8 15.264338 20.951562 12367.831 590.3059  3880.0116  20323.076 2702
## 631  -13  -7 14.764823 21.806302 12617.588 578.6212  4374.5146  23847.997 2702
## 632  -13  -6 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 633  -13  -5 13.928388 23.275825 13035.806 560.0577  5319.8456  30955.948 2702
## 634  -13  -4 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 635  -13  -3 13.341664 24.335226 13329.168 547.7314  6079.8094  36988.385 2702
## 636  -13  -2 13.152946 24.680990 13423.527 543.8812  6342.6613  39135.790 2702
## 637  -13  -1 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 638  -13   0 13.000000 24.963004 13500.000 540.8003  6562.5758  40955.402 2702
## 639  -13   1 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 640  -13   2 13.152946 24.680990 13423.527 543.8812  6342.6613  39135.790 2702
## 641  -13   3 13.341664 24.335226 13329.168 547.7314  6079.8094  36988.385 2702
## 642  -13   4 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 643  -13   5 13.928388 23.275825 13035.806 560.0577  5319.8456  30955.948 2702
## 644  -13   6 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 645  -13   7 14.764823 21.806302 12617.588 578.6212  4374.5146  23847.997 2702
## 646  -13   8 15.264338 20.951562 12367.831 590.3059  3880.0116  20323.076 2702
## 647  -13   9 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 648  -13  10 16.401219 19.069901 11799.390 618.7442  2925.6955  13948.181 2702
## 649  -13  11 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 650  -13  12 17.691806 17.041120 11154.097 654.5401  2087.7487   8894.394 2702
## 651  -13  13 18.384776 15.998851 10807.612 675.5243  1727.6277   6910.014 2702
## 652  -13  14 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 653  -13  15 19.849433 13.904131 10075.283 724.6252  1134.0060   3941.842 2702
## 654  -13  16 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 655  -13  17 21.400935 11.845450  9299.533 785.0721   701.1945   2076.491 2702
## 656  -13  18 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 657  -13  19 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
## 670  -12 -19 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 671  -12 -18 21.633308 11.551310  9183.346 795.0048   650.2457   1877.797 2702
## 672  -12 -17 20.808652 12.611893  9595.674 760.8433   846.3006   2668.363 2702
## 673  -12 -16 20.000000 13.697122 10000.000 730.0804  1084.1059   3712.283 2702
## 674  -12 -15 19.209373 14.801458 10395.314 702.3169  1368.0353   5062.229 2702
## 675  -12 -14 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 676  -12 -13 17.691806 17.041120 11154.097 654.5401  2087.7487   8894.394 2702
## 677  -12 -12 16.970563 18.160842 11514.719 634.0410  2526.9212  11472.754 2702
## 678  -12 -11 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 679  -12 -10 15.620499 20.352555 12189.750 598.9297  3556.6455  18096.706 2702
## 680  -12  -9 15.000000 21.401752 12500.000 584.0643  4135.5359  22126.929 2702
## 681  -12  -8 14.422205 22.402450 12788.897 570.8705  4743.1881  26564.759 2702
## 682  -12  -7 13.892444 23.340049 13053.778 559.2867  5364.0036  31299.026 2702
## 683  -12  -6 13.416408 24.198957 13291.796 549.2714  5978.2454  36166.826 2702
## 684  -12  -5 13.000000 24.963004 13500.000 540.8003  6562.5758  40955.402 2702
## 685  -12  -4 12.649111 25.616054 13675.445 533.8623  7091.2119  45412.216 2702
## 686  -12  -3 12.369317 26.142828 13815.342 528.4563  7537.7457  49264.497 2702
## 687  -12  -2 12.165525 26.529886 13917.237 524.5872  7877.5279  52247.479 2702
## 688  -12  -1 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 689  -12   0 12.000000 26.846358 14000.000 521.4860  8162.8147  54785.462 2702
## 690  -12   1 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 691  -12   2 12.165525 26.529886 13917.237 524.5872  7877.5279  52247.479 2702
## 692  -12   3 12.369317 26.142828 13815.342 528.4563  7537.7457  49264.497 2702
## 693  -12   4 12.649111 25.616054 13675.445 533.8623  7091.2119  45412.216 2702
## 694  -12   5 13.000000 24.963004 13500.000 540.8003  6562.5758  40955.402 2702
## 695  -12   6 13.416408 24.198957 13291.796 549.2714  5978.2454  36166.826 2702
## 696  -12   7 13.892444 23.340049 13053.778 559.2867  5364.0036  31299.026 2702
## 697  -12   8 14.422205 22.402450 12788.897 570.8705  4743.1881  26564.759 2702
## 698  -12   9 15.000000 21.401752 12500.000 584.0643  4135.5359  22126.929 2702
## 699  -12  10 15.620499 20.352555 12189.750 598.9297  3556.6455  18096.706 2702
## 700  -12  11 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 701  -12  12 16.970563 18.160842 11514.719 634.0410  2526.9212  11472.754 2702
## 702  -12  13 17.691806 17.041120 11154.097 654.5401  2087.7487   8894.394 2702
## 703  -12  14 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 704  -12  15 19.209373 14.801458 10395.314 702.3169  1368.0353   5062.229 2702
## 705  -12  16 20.000000 13.697122 10000.000 730.0804  1084.1059   3712.283 2702
## 706  -12  17 20.808652 12.611893  9595.674 760.8433   846.3006   2668.363 2702
## 707  -12  18 21.633308 11.551310  9183.346 795.0048   650.2457   1877.797 2702
## 708  -12  19 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 720  -11 -20 22.825424 10.100464  8587.288 850.1874   434.7182   1097.714 2702
## 721  -11 -19 21.954498 11.150831  9022.751 809.1550   584.9322   1630.620 2702
## 722  -11 -18 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 723  -11 -17 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 724  -11 -16 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 725  -11 -15 18.601075 15.680259 10699.462 682.3524  1626.4603   6375.829 2702
## 726  -11 -14 17.804494 16.869392 11097.753 657.8633  2025.2660   8541.251 2702
## 727  -11 -13 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 728  -11 -12 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 729  -11 -11 15.556349 20.459804 12221.825 597.3579  3613.1682  18481.178 2702
## 730  -11 -10 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 731  -11  -9 14.212670 22.770998 12893.665 566.2319  4981.1541  28356.462 2702
## 732  -11  -8 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 733  -11  -7 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 734  -11  -6 12.529964 25.839718 13735.018 531.5467  7278.5876  47019.163 2702
## 735  -11  -5 12.083046 26.687346 13958.477 523.0373  8018.6256  53498.958 2702
## 736  -11  -4 11.704700 27.415611 14147.650 516.0436  8693.1580  59582.059 2702
## 737  -11  -3 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 738  -11  -2 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 739  -11  -1 11.045361 28.708178 14477.319 504.2925  9981.6118  71638.471 2702
## 740  -11   0 11.000000 28.798198 14500.000 503.5037 10075.8046  72541.254 2702
## 741  -11   1 11.045361 28.708178 14477.319 504.2925  9981.6118  71638.471 2702
## 742  -11   2 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 743  -11   3 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 744  -11   4 11.704700 27.415611 14147.650 516.0436  8693.1580  59582.059 2702
## 745  -11   5 12.083046 26.687346 13958.477 523.0373  8018.6256  53498.958 2702
## 746  -11   6 12.529964 25.839718 13735.018 531.5467  7278.5876  47019.163 2702
## 747  -11   7 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 748  -11   8 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 749  -11   9 14.212670 22.770998 12893.665 566.2319  4981.1541  28356.462 2702
## 750  -11  10 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 751  -11  11 15.556349 20.459804 12221.825 597.3579  3613.1682  18481.178 2702
## 752  -11  12 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 753  -11  13 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 754  -11  14 17.804494 16.869392 11097.753 657.8633  2025.2660   8541.251 2702
## 755  -11  15 18.601075 15.680259 10699.462 682.3524  1626.4603   6375.829 2702
## 756  -11  16 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 757  -11  17 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 758  -11  18 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 759  -11  19 21.954498 11.150831  9022.751 809.1550   584.9322   1630.620 2702
## 760  -11  20 22.825424 10.100464  8587.288 850.1874   434.7182   1097.714 2702
## 771  -10 -20 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 772  -10 -19 21.470911 11.756484  9264.545 788.0370   685.5138   2014.808 2702
## 773  -10 -18 20.591260 12.899236  9704.370 752.3213   905.4735   2919.979 2702
## 774  -10 -17 19.723083 14.079044 10138.459 720.1099  1177.3438   4143.969 2702
## 775  -10 -16 18.867962 15.291570 10566.019 690.9702  1508.4816   5766.763 2702
## 776  -10 -15 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 777  -10 -14 17.204651 17.793518 11397.675 640.5521  2376.6721  10572.340 2702
## 778  -10 -13 16.401219 19.069901 11799.390 618.7442  2925.6955  13948.181 2702
## 779  -10 -12 15.620499 20.352555 12189.750 598.9297  3556.6455  18096.706 2702
## 780  -10 -11 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 781  -10 -10 14.142136 22.895737 12928.932 564.6873  5063.4633  28982.931 2702
## 782  -10  -9 13.453624 24.131249 13273.188 550.0415  5928.2047  35763.746 2702
## 783  -10  -8 12.806248 25.322558 13596.876 536.9472  6850.2512  43366.470 2702
## 784  -10  -7 12.206556 26.451729 13896.722 525.3616  7808.1110  51634.508 2702
## 785  -10  -6 11.661904 27.498605 14169.048 515.2643  8772.3464  60306.822 2702
## 786  -10  -5 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 787  -10  -4 10.770330 29.256149 14614.835 499.5475 10564.1670  77266.710 2702
## 788  -10  -3 10.440307 29.920522 14779.847 493.9702 11300.3347  84527.979 2702
## 789  -10  -2 10.198039 30.412982 14900.980 489.9546 11867.5426  90231.839 2702
## 790  -10  -1 10.049876 30.716136 14975.062 487.5308 12225.9757  93883.683 2702
## 791  -10   0 10.000000 30.818524 15000.000 486.7203 12348.6442  95141.745 2702
## 792  -10   1 10.049876 30.716136 14975.062 487.5308 12225.9757  93883.683 2702
## 793  -10   2 10.198039 30.412982 14900.980 489.9546 11867.5426  90231.839 2702
## 794  -10   3 10.440307 29.920522 14779.847 493.9702 11300.3347  84527.979 2702
## 795  -10   4 10.770330 29.256149 14614.835 499.5475 10564.1670  77266.710 2702
## 796  -10   5 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 797  -10   6 11.661904 27.498605 14169.048 515.2643  8772.3464  60306.822 2702
## 798  -10   7 12.206556 26.451729 13896.722 525.3616  7808.1110  51634.508 2702
## 799  -10   8 12.806248 25.322558 13596.876 536.9472  6850.2512  43366.470 2702
## 800  -10   9 13.453624 24.131249 13273.188 550.0415  5928.2047  35763.746 2702
## 801  -10  10 14.142136 22.895737 12928.932 564.6873  5063.4633  28982.931 2702
## 802  -10  11 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 803  -10  12 15.620499 20.352555 12189.750 598.9297  3556.6455  18096.706 2702
## 804  -10  13 16.401219 19.069901 11799.390 618.7442  2925.6955  13948.181 2702
## 805  -10  14 17.204651 17.793518 11397.675 640.5521  2376.6721  10572.340 2702
## 806  -10  15 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 807  -10  16 18.867962 15.291570 10566.019 690.9702  1508.4816   5766.763 2702
## 808  -10  17 19.723083 14.079044 10138.459 720.1099  1177.3438   4143.969 2702
## 809  -10  18 20.591260 12.899236  9704.370 752.3213   905.4735   2919.979 2702
## 810  -10  19 21.470911 11.756484  9264.545 788.0370   685.5138   2014.808 2702
## 811  -10  20 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 821   -9 -21 22.847319 10.074728  8576.340 851.2727   431.4036   1086.568 2702
## 822   -9 -20 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 823   -9 -19 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 824   -9 -18 20.124612 13.526971  9937.694 734.6578  1044.2043   3531.230 2702
## 825   -9 -17 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 826   -9 -16 18.357560 16.039166 10821.220 674.6748  1740.7208   6979.927 2702
## 827   -9 -15 17.492856 17.346430 11253.572 648.7544  2201.9838   9549.140 2702
## 828   -9 -14 16.643317 18.680636 11678.342 625.1576  2750.1650  12843.708 2702
## 829   -9 -13 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 830   -9 -12 15.000000 21.401752 12500.000 584.0643  4135.5359  22126.929 2702
## 831   -9 -11 14.212670 22.770998 12893.665 566.2319  4981.1541  28356.462 2702
## 832   -9 -10 13.453624 24.131249 13273.188 550.0415  5928.2047  35763.746 2702
## 833   -9  -9 12.727922 25.468641 13636.039 535.4050  6969.4920  44375.873 2702
## 834   -9  -8 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 835   -9  -7 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 836   -9  -6 10.816654 29.163490 14591.673 500.3404 10464.1093  76292.487 2702
## 837   -9  -5 10.295630 30.214124 14852.185 491.5643 11636.2706  87894.930 2702
## 838   -9  -4  9.848858 31.129838 15075.571 484.2804 12726.6576  99044.697 2702
## 839   -9  -3  9.486833 31.881878 15256.584 478.5347 13671.4779 108968.097 2702
## 840   -9  -2  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 841   -9  -1  9.055385 32.789854 15472.307 471.8627 14873.1254 121921.902 2702
## 842   -9   0  9.000000 32.907335 15500.000 471.0196 15033.5626 123678.619 2702
## 843   -9   1  9.055385 32.789854 15472.307 471.8627 14873.1254 121921.902 2702
## 844   -9   2  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 845   -9   3  9.486833 31.881878 15256.584 478.5347 13671.4779 108968.097 2702
## 846   -9   4  9.848858 31.129838 15075.571 484.2804 12726.6576  99044.697 2702
## 847   -9   5 10.295630 30.214124 14852.185 491.5643 11636.2706  87894.930 2702
## 848   -9   6 10.816654 29.163490 14591.673 500.3404 10464.1093  76292.487 2702
## 849   -9   7 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 850   -9   8 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 851   -9   9 12.727922 25.468641 13636.039 535.4050  6969.4920  44375.873 2702
## 852   -9  10 13.453624 24.131249 13273.188 550.0415  5928.2047  35763.746 2702
## 853   -9  11 14.212670 22.770998 12893.665 566.2319  4981.1541  28356.462 2702
## 854   -9  12 15.000000 21.401752 12500.000 584.0643  4135.5359  22126.929 2702
## 855   -9  13 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 856   -9  14 16.643317 18.680636 11678.342 625.1576  2750.1650  12843.708 2702
## 857   -9  15 17.492856 17.346430 11253.572 648.7544  2201.9838   9549.140 2702
## 858   -9  16 18.357560 16.039166 10821.220 674.6748  1740.7208   6979.927 2702
## 859   -9  17 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 860   -9  18 20.124612 13.526971  9937.694 734.6578  1044.2043   3531.230 2702
## 861   -9  19 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 862   -9  20 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 863   -9  21 22.847319 10.074728  8576.340 851.2727   431.4036   1086.568 2702
## 872   -8 -21 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 873   -8 -20 21.540659 11.668142  9229.670 791.0146   670.1760   1954.927 2702
## 874   -8 -19 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 875   -8 -18 19.697716 14.114293 10151.142 719.2101  1186.2089   4185.625 2702
## 876   -8 -17 18.788294 15.407086 10605.853 688.3750  1542.9268   5943.001 2702
## 877   -8 -16 17.888544 16.741872 11055.728 660.3639  1979.6837   8285.903 2702
## 878   -8 -15 17.000000 18.114443 11500.000 634.8525  2507.6029  11355.958 2702
## 879   -8 -14 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 880   -8 -13 15.264338 20.951562 12367.831 590.3059  3880.0116  20323.076 2702
## 881   -8 -12 14.422205 22.402450 12788.897 570.8705  4743.1881  26564.759 2702
## 882   -8 -11 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 883   -8 -10 12.806248 25.322558 13596.876 536.9472  6850.2512  43366.470 2702
## 884   -8  -9 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 885   -8  -8 11.313708 28.178517 14343.146 509.0100  9439.2653  66496.124 2702
## 886   -8  -7 10.630146 29.537443 14684.927 497.1631 10871.8259  80281.485 2702
## 887   -8  -6 10.000000 30.818524 15000.000 486.7203 12348.6442  95141.745 2702
## 888   -8  -5  9.433981 31.992419 15283.009 477.7072 13814.1768 110487.231 2702
## 889   -8  -4  8.944272 33.025755 15527.864 470.1744 15196.4464 125468.527 2702
## 890   -8  -3  8.544004 33.882559 15727.998 464.1916 16410.1449 139004.427 2702
## 891   -8  -2  8.246211 34.527125 15876.894 459.8383 17364.6109 149887.524 2702
## 892   -8  -1  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 893   -8   0  8.000000 35.064631 16000.000 456.3002 18188.2794 159441.328 2702
## 894   -8   1  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 895   -8   2  8.246211 34.527125 15876.894 459.8383 17364.6109 149887.524 2702
## 896   -8   3  8.544004 33.882559 15727.998 464.1916 16410.1449 139004.427 2702
## 897   -8   4  8.944272 33.025755 15527.864 470.1744 15196.4464 125468.527 2702
## 898   -8   5  9.433981 31.992419 15283.009 477.7072 13814.1768 110487.231 2702
## 899   -8   6 10.000000 30.818524 15000.000 486.7203 12348.6442  95141.745 2702
## 900   -8   7 10.630146 29.537443 14684.927 497.1631 10871.8259  80281.485 2702
## 901   -8   8 11.313708 28.178517 14343.146 509.0100  9439.2653  66496.124 2702
## 902   -8   9 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 903   -8  10 12.806248 25.322558 13596.876 536.9472  6850.2512  43366.470 2702
## 904   -8  11 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 905   -8  12 14.422205 22.402450 12788.897 570.8705  4743.1881  26564.759 2702
## 906   -8  13 15.264338 20.951562 12367.831 590.3059  3880.0116  20323.076 2702
## 907   -8  14 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 908   -8  15 17.000000 18.114443 11500.000 634.8525  2507.6029  11355.958 2702
## 909   -8  16 17.888544 16.741872 11055.728 660.3639  1979.6837   8285.903 2702
## 910   -8  17 18.788294 15.407086 10605.853 688.3750  1542.9268   5943.001 2702
## 911   -8  18 19.697716 14.114293 10151.142 719.2101  1186.2089   4185.625 2702
## 912   -8  19 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 913   -8  20 21.540659 11.668142  9229.670 791.0146   670.1760   1954.927 2702
## 914   -8  21 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 923   -7 -21 22.135944 10.927718  8932.028 817.3736   550.5189   1503.979 2702
## 924   -7 -20 21.189620 12.116145  9405.190 776.2527   750.3729   2272.907 2702
## 925   -7 -19 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 926   -7 -18 19.313208 14.653981 10343.396 705.8421  1327.5493   4863.470 2702
## 927   -7 -17 18.384776 15.998851 10807.612 675.5243  1727.6277   6910.014 2702
## 928   -7 -16 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 929   -7 -15 16.552945 18.825474 11723.527 622.7481  2814.6314  13246.692 2702
## 930   -7 -14 15.652476 20.299200 12173.762 599.7163  3528.7475  17907.688 2702
## 931   -7 -13 14.764823 21.806302 12617.588 578.6212  4374.5146  23847.997 2702
## 932   -7 -12 13.892444 23.340049 13053.778 559.2867  5364.0036  31299.026 2702
## 933   -7 -11 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 934   -7 -10 12.206556 26.451729 13896.722 525.3616  7808.1110  51634.508 2702
## 935   -7  -9 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 936   -7  -8 10.630146 29.537443 14684.927 497.1631 10871.8259  80281.485 2702
## 937   -7  -7  9.899495 31.025364 15050.253 485.0951 12598.9527  97721.773 2702
## 938   -7  -6  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 939   -7  -5  8.602325 33.757035 15698.837 465.0538 16228.4359 136955.969 2702
## 940   -7  -4  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 941   -7  -3  7.615773 35.911735 16192.113 450.8864 19538.5779 175416.057 2702
## 942   -7  -2  7.280110 36.660045 16359.945 446.2609 20785.6096 190500.345 2702
## 943   -7  -1  7.071068 37.129971 16464.466 443.4279 21595.2201 200457.476 2702
## 944   -7   0  7.000000 37.290413 16500.000 442.4730 21876.3764 203944.781 2702
## 945   -7   1  7.071068 37.129971 16464.466 443.4279 21595.2201 200457.476 2702
## 946   -7   2  7.280110 36.660045 16359.945 446.2609 20785.6096 190500.345 2702
## 947   -7   3  7.615773 35.911735 16192.113 450.8864 19538.5779 175416.057 2702
## 948   -7   4  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 949   -7   5  8.602325 33.757035 15698.837 465.0538 16228.4359 136955.969 2702
## 950   -7   6  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 951   -7   7  9.899495 31.025364 15050.253 485.0951 12598.9527  97721.773 2702
## 952   -7   8 10.630146 29.537443 14684.927 497.1631 10871.8259  80281.485 2702
## 953   -7   9 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 954   -7  10 12.206556 26.451729 13896.722 525.3616  7808.1110  51634.508 2702
## 955   -7  11 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 956   -7  12 13.892444 23.340049 13053.778 559.2867  5364.0036  31299.026 2702
## 957   -7  13 14.764823 21.806302 12617.588 578.6212  4374.5146  23847.997 2702
## 958   -7  14 15.652476 20.299200 12173.762 599.7163  3528.7475  17907.688 2702
## 959   -7  15 16.552945 18.825474 11723.527 622.7481  2814.6314  13246.692 2702
## 960   -7  16 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 961   -7  17 18.384776 15.998851 10807.612 675.5243  1727.6277   6910.014 2702
## 962   -7  18 19.313208 14.653981 10343.396 705.8421  1327.5493   4863.470 2702
## 963   -7  19 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 964   -7  20 21.189620 12.116145  9405.190 776.2527   750.3729   2272.907 2702
## 965   -7  21 22.135944 10.927718  8932.028 817.3736   550.5189   1503.979 2702
## 973   -6 -22 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 974   -6 -21 21.840330 11.292374  9079.835 804.0679   607.4905   1715.002 2702
## 975   -6 -20 20.880613 12.517490  9559.693 763.7069   827.4381   2589.362 2702
## 976   -6 -19 19.924859 13.800237 10037.571 727.3477  1108.7749   3825.339 2702
## 977   -6 -18 18.973666 15.138974 10513.167 694.4438  1463.7709   5539.997 2702
## 978   -6 -17 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 979   -6 -16 17.088007 17.976082 11455.996 637.2911  2450.5801  11012.957 2702
## 980   -6 -15 16.155494 19.469104 11922.253 612.3678  3113.3051  15153.315 2702
## 981   -6 -14 15.231546 21.007149 12384.227 589.5244  3910.9758  20539.612 2702
## 982   -6 -13 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 983   -6 -12 13.416408 24.198957 13291.796 549.2714  5978.2454  36166.826 2702
## 984   -6 -11 12.529964 25.839718 13735.018 531.5467  7278.5876  47019.163 2702
## 985   -6 -10 11.661904 27.498605 14169.048 515.2643  8772.3464  60306.822 2702
## 986   -6  -9 10.816654 29.163490 14591.673 500.3404 10464.1093  76292.487 2702
## 987   -6  -8 10.000000 30.818524 15000.000 486.7203 12348.6442  95141.745 2702
## 988   -6  -7  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 989   -6  -6  8.485281 34.009182 15757.359 463.3266 16594.8126 141094.001 2702
## 990   -6  -5  7.810250 35.481709 16094.875 453.6105 18845.0545 167163.687 2702
## 991   -6  -4  7.211103 36.814842 16394.449 445.3217 21050.0256 193738.344 2702
## 992   -6  -3  6.708204 37.952796 16645.898 438.5948 23062.9630 218825.980 2702
## 993   -6  -2  6.324555 38.832558 16837.722 433.5981 24704.2562 239832.365 2702
## 994   -6  -1  6.082763 39.392202 16958.619 430.5070 25787.8171 253959.728 2702
## 995   -6   0  6.000000 39.584681 17000.000 429.4591 26167.6818 258959.837 2702
## 996   -6   1  6.082763 39.392202 16958.619 430.5070 25787.8171 253959.728 2702
## 997   -6   2  6.324555 38.832558 16837.722 433.5981 24704.2562 239832.365 2702
## 998   -6   3  6.708204 37.952796 16645.898 438.5948 23062.9630 218825.980 2702
## 999   -6   4  7.211103 36.814842 16394.449 445.3217 21050.0256 193738.344 2702
## 1000  -6   5  7.810250 35.481709 16094.875 453.6105 18845.0545 167163.687 2702
## 1001  -6   6  8.485281 34.009182 15757.359 463.3266 16594.8126 141094.001 2702
## 1002  -6   7  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 1003  -6   8 10.000000 30.818524 15000.000 486.7203 12348.6442  95141.745 2702
## 1004  -6   9 10.816654 29.163490 14591.673 500.3404 10464.1093  76292.487 2702
## 1005  -6  10 11.661904 27.498605 14169.048 515.2643  8772.3464  60306.822 2702
## 1006  -6  11 12.529964 25.839718 13735.018 531.5467  7278.5876  47019.163 2702
## 1007  -6  12 13.416408 24.198957 13291.796 549.2714  5978.2454  36166.826 2702
## 1008  -6  13 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 1009  -6  14 15.231546 21.007149 12384.227 589.5244  3910.9758  20539.612 2702
## 1010  -6  15 16.155494 19.469104 11922.253 612.3678  3113.3051  15153.315 2702
## 1011  -6  16 17.088007 17.976082 11455.996 637.2911  2450.5801  11012.957 2702
## 1012  -6  17 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 1013  -6  18 18.973666 15.138974 10513.167 694.4438  1463.7709   5539.997 2702
## 1014  -6  19 19.924859 13.800237 10037.571 727.3477  1108.7749   3825.339 2702
## 1015  -6  20 20.880613 12.517490  9559.693 763.7069   827.4381   2589.362 2702
## 1016  -6  21 21.840330 11.292374  9079.835 804.0679   607.4905   1715.002 2702
## 1017  -6  22 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 1024  -5 -22 22.561028 10.413844  8719.486 837.2975   476.4496   1240.418 2702
## 1025  -5 -21 21.587033 11.609589  9206.483 793.0068   660.1375   1915.981 2702
## 1026  -5 -20 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 1027  -5 -19 19.646883 14.185060 10176.559 717.4138  1204.1410   4270.203 2702
## 1028  -5 -18 18.681542 15.562555 10659.229 684.9280  1590.1076   6186.534 2702
## 1029  -5 -17 17.720045 16.998004 11139.977 655.3697  2071.9420   8804.720 2702
## 1030  -5 -16 16.763055 18.489595 11618.473 628.3790  2666.6497  12326.318 2702
## 1031  -5 -15 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 1032  -5 -14 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 1033  -5 -13 13.928388 23.275825 13035.806 560.0577  5319.8456  30955.948 2702
## 1034  -5 -12 13.000000 24.963004 13500.000 540.8003  6562.5758  40955.402 2702
## 1035  -5 -11 12.083046 26.687346 13958.477 523.0373  8018.6256  53498.958 2702
## 1036  -5 -10 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 1037  -5  -9 10.295630 30.214124 14852.185 491.5643 11636.2706  87894.930 2702
## 1038  -5  -8  9.433981 31.992419 15283.009 477.7072 13814.1768 110487.231 2702
## 1039  -5  -7  8.602325 33.757035 15698.837 465.0538 16228.4359 136955.969 2702
## 1040  -5  -6  7.810250 35.481709 16094.875 453.6105 18845.0545 167163.687 2702
## 1041  -5  -5  7.071068 37.129971 16464.466 443.4279 21595.2201 200457.476 2702
## 1042  -5  -4  6.403124 38.651567 16798.438 434.6121 24360.4389 235392.284 2702
## 1043  -5  -3  5.830952 39.979290 17084.524 427.3344 26958.0844 269441.271 2702
## 1044  -5  -2  5.385165 41.029276 17307.418 421.8309 29138.3770 298881.629 2702
## 1045  -5  -1  5.099020 41.710421 17450.490 418.3724 30613.8194 319228.825 2702
## 1046  -5   0  5.000000 41.947435 17500.000 417.1888 31138.6668 326546.799 2702
## 1047  -5   1  5.099020 41.710421 17450.490 418.3724 30613.8194 319228.825 2702
## 1048  -5   2  5.385165 41.029276 17307.418 421.8309 29138.3770 298881.629 2702
## 1049  -5   3  5.830952 39.979290 17084.524 427.3344 26958.0844 269441.271 2702
## 1050  -5   4  6.403124 38.651567 16798.438 434.6121 24360.4389 235392.284 2702
## 1051  -5   5  7.071068 37.129971 16464.466 443.4279 21595.2201 200457.476 2702
## 1052  -5   6  7.810250 35.481709 16094.875 453.6105 18845.0545 167163.687 2702
## 1053  -5   7  8.602325 33.757035 15698.837 465.0538 16228.4359 136955.969 2702
## 1054  -5   8  9.433981 31.992419 15283.009 477.7072 13814.1768 110487.231 2702
## 1055  -5   9 10.295630 30.214124 14852.185 491.5643 11636.2706  87894.930 2702
## 1056  -5  10 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 1057  -5  11 12.083046 26.687346 13958.477 523.0373  8018.6256  53498.958 2702
## 1058  -5  12 13.000000 24.963004 13500.000 540.8003  6562.5758  40955.402 2702
## 1059  -5  13 13.928388 23.275825 13035.806 560.0577  5319.8456  30955.948 2702
## 1060  -5  14 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 1061  -5  15 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 1062  -5  16 16.763055 18.489595 11618.473 628.3790  2666.6497  12326.318 2702
## 1063  -5  17 17.720045 16.998004 11139.977 655.3697  2071.9420   8804.720 2702
## 1064  -5  18 18.681542 15.562555 10659.229 684.9280  1590.1076   6186.534 2702
## 1065  -5  19 19.646883 14.185060 10176.559 717.4138  1204.1410   4270.203 2702
## 1066  -5  20 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 1067  -5  21 21.587033 11.609589  9206.483 793.0068   660.1375   1915.981 2702
## 1068  -5  22 22.561028 10.413844  8719.486 837.2975   476.4496   1240.418 2702
## 1075  -4 -22 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 1076  -4 -21 21.377558 11.875245  9311.221 784.0867   706.4989   2097.462 2702
## 1077  -4 -20 20.396078 13.159981  9801.961 744.8310   961.5005   3163.332 2702
## 1078  -4 -19 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 1079  -4 -18 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 1080  -4 -17 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 1081  -4 -16 16.492423 18.922786 11753.789 621.1447  2858.5053  13522.721 2702
## 1082  -4 -15 15.524175 20.513700 12237.913 596.5727  3641.7977  18676.687 2702
## 1083  -4 -14 14.560220 22.161341 12719.890 573.9675  4591.6828  25439.462 2702
## 1084  -4 -13 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 1085  -4 -12 12.649111 25.616054 13675.445 533.8623  7091.2119  45412.216 2702
## 1086  -4 -11 11.704700 27.415611 14147.650 516.0436  8693.1580  59582.059 2702
## 1087  -4 -10 10.770330 29.256149 14614.835 499.5475 10564.1670  77266.710 2702
## 1088  -4  -9  9.848858 31.129838 15075.571 484.2804 12726.6576  99044.697 2702
## 1089  -4  -8  8.944272 33.025755 15527.864 470.1744 15196.4464 125468.527 2702
## 1090  -4  -7  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 1091  -4  -6  7.211103 36.814842 16394.449 445.3217 21050.0256 193738.344 2702
## 1092  -4  -5  6.403124 38.651567 16798.438 434.6121 24360.4389 235392.284 2702
## 1093  -4  -4  5.656854 40.387732 17171.573 425.1680 27792.7926 280621.964 2702
## 1094  -4  -3  5.000000 41.947435 17500.000 417.1888 31138.6668 326546.799 2702
## 1095  -4  -2  4.472136 43.222264 17763.932 410.9903 34064.8388 368089.867 2702
## 1096  -4  -1  4.123106 44.075678 17938.447 406.9920 36122.7496 398033.671 2702
## 1097  -4   0  4.000000 44.378674 18000.000 405.6002 36872.8539 409092.090 2702
## 1098  -4   1  4.123106 44.075678 17938.447 406.9920 36122.7496 398033.671 2702
## 1099  -4   2  4.472136 43.222264 17763.932 410.9903 34064.8388 368089.867 2702
## 1100  -4   3  5.000000 41.947435 17500.000 417.1888 31138.6668 326546.799 2702
## 1101  -4   4  5.656854 40.387732 17171.573 425.1680 27792.7926 280621.964 2702
## 1102  -4   5  6.403124 38.651567 16798.438 434.6121 24360.4389 235392.284 2702
## 1103  -4   6  7.211103 36.814842 16394.449 445.3217 21050.0256 193738.344 2702
## 1104  -4   7  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 1105  -4   8  8.944272 33.025755 15527.864 470.1744 15196.4464 125468.527 2702
## 1106  -4   9  9.848858 31.129838 15075.571 484.2804 12726.6576  99044.697 2702
## 1107  -4  10 10.770330 29.256149 14614.835 499.5475 10564.1670  77266.710 2702
## 1108  -4  11 11.704700 27.415611 14147.650 516.0436  8693.1580  59582.059 2702
## 1109  -4  12 12.649111 25.616054 13675.445 533.8623  7091.2119  45412.216 2702
## 1110  -4  13 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 1111  -4  14 14.560220 22.161341 12719.890 573.9675  4591.6828  25439.462 2702
## 1112  -4  15 15.524175 20.513700 12237.913 596.5727  3641.7977  18676.687 2702
## 1113  -4  16 16.492423 18.922786 11753.789 621.1447  2858.5053  13522.721 2702
## 1114  -4  17 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 1115  -4  18 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 1116  -4  19 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 1117  -4  20 20.396078 13.159981  9801.961 744.8310   961.5005   3163.332 2702
## 1118  -4  21 21.377558 11.875245  9311.221 784.0867   706.4989   2097.462 2702
## 1119  -4  22 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 1126  -3 -22 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 1127  -3 -21 21.213203 12.085783  9393.398 777.2271   744.7459   2250.209 2702
## 1128  -3 -20 20.223748 13.392365  9888.126 738.3405  1013.3410   3392.758 2702
## 1129  -3 -19 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 1130  -3 -18 18.248288 16.201537 10875.856 671.2854  1794.1240   7266.892 2702
## 1131  -3 -17 17.262677 17.703046 11368.662 642.1868  2340.6032  10358.952 2702
## 1132  -3 -16 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 1133  -3 -15 15.297059 20.896168 12351.471 591.0878  3849.3178  20108.998 2702
## 1134  -3 -14 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 1135  -3 -13 13.341664 24.335226 13329.168 547.7314  6079.8094  36988.385 2702
## 1136  -3 -12 12.369317 26.142828 13815.342 528.4563  7537.7457  49264.497 2702
## 1137  -3 -11 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 1138  -3 -10 10.440307 29.920522 14779.847 493.9702 11300.3347  84527.979 2702
## 1139  -3  -9  9.486833 31.881878 15256.584 478.5347 13671.4779 108968.097 2702
## 1140  -3  -8  8.544004 33.882559 15727.998 464.1916 16410.1449 139004.427 2702
## 1141  -3  -7  7.615773 35.911735 16192.113 450.8864 19538.5779 175416.057 2702
## 1142  -3  -6  6.708204 37.952796 16645.898 438.5948 23062.9630 218825.980 2702
## 1143  -3  -5  5.830952 39.979290 17084.524 427.3344 26958.0844 269441.271 2702
## 1144  -3  -4  5.000000 41.947435 17500.000 417.1888 31138.6668 326546.799 2702
## 1145  -3  -3  4.242641 43.782464 17878.680 408.3525 35406.6126 387547.183 2702
## 1146  -3  -2  3.605551 45.356508 18197.224 401.2043 39364.3079 446356.886 2702
## 1147  -3  -1  3.162278 46.468094 18418.861 396.3765 42330.0098 491748.719 2702
## 1148  -3   0  3.000000 46.878399 18500.000 394.6381 43461.2379 509348.309 2702
## 1149  -3   1  3.162278 46.468094 18418.861 396.3765 42330.0098 491748.719 2702
## 1150  -3   2  3.605551 45.356508 18197.224 401.2043 39364.3079 446356.886 2702
## 1151  -3   3  4.242641 43.782464 17878.680 408.3525 35406.6126 387547.183 2702
## 1152  -3   4  5.000000 41.947435 17500.000 417.1888 31138.6668 326546.799 2702
## 1153  -3   5  5.830952 39.979290 17084.524 427.3344 26958.0844 269441.271 2702
## 1154  -3   6  6.708204 37.952796 16645.898 438.5948 23062.9630 218825.980 2702
## 1155  -3   7  7.615773 35.911735 16192.113 450.8864 19538.5779 175416.057 2702
## 1156  -3   8  8.544004 33.882559 15727.998 464.1916 16410.1449 139004.427 2702
## 1157  -3   9  9.486833 31.881878 15256.584 478.5347 13671.4779 108968.097 2702
## 1158  -3  10 10.440307 29.920522 14779.847 493.9702 11300.3347  84527.979 2702
## 1159  -3  11 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 1160  -3  12 12.369317 26.142828 13815.342 528.4563  7537.7457  49264.497 2702
## 1161  -3  13 13.341664 24.335226 13329.168 547.7314  6079.8094  36988.385 2702
## 1162  -3  14 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 1163  -3  15 15.297059 20.896168 12351.471 591.0878  3849.3178  20108.998 2702
## 1164  -3  16 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 1165  -3  17 17.262677 17.703046 11368.662 642.1868  2340.6032  10358.952 2702
## 1166  -3  18 18.248288 16.201537 10875.856 671.2854  1794.1240   7266.892 2702
## 1167  -3  19 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 1168  -3  20 20.223748 13.392365  9888.126 738.3405  1013.3410   3392.758 2702
## 1169  -3  21 21.213203 12.085783  9393.398 777.2271   744.7459   2250.209 2702
## 1170  -3  22 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 1177  -2 -22 22.090722 10.983114  8954.639 815.3097   558.9336   1534.708 2702
## 1178  -2 -21 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 1179  -2 -20 20.099751 13.560832  9950.124 733.7400  1052.0655   3566.721 2702
## 1180  -2 -19 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 1181  -2 -18 18.110770 16.407042 10944.615 667.0682  1863.2650   7642.667 2702
## 1182  -2 -17 17.117243 17.930237 11441.379 638.1053  2431.8785  10901.039 2702
## 1183  -2 -16 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 1184  -2 -15 15.132746 21.175076 12433.627 587.1822  4005.5184  21204.290 2702
## 1185  -2 -14 14.142136 22.895737 12928.932 564.6873  5063.4633  28982.931 2702
## 1186  -2 -13 13.152946 24.680990 13423.527 543.8812  6342.6613  39135.790 2702
## 1187  -2 -12 12.165525 26.529886 13917.237 524.5872  7877.5279  52247.479 2702
## 1188  -2 -11 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 1189  -2 -10 10.198039 30.412982 14900.980 489.9546 11867.5426  90231.839 2702
## 1190  -2  -9  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 1191  -2  -8  8.246211 34.527125 15876.894 459.8383 17364.6109 149887.524 2702
## 1192  -2  -7  7.280110 36.660045 16359.945 446.2609 20785.6096 190500.345 2702
## 1193  -2  -6  6.324555 38.832558 16837.722 433.5981 24704.2562 239832.365 2702
## 1194  -2  -5  5.385165 41.029276 17307.418 421.8309 29138.3770 298881.629 2702
## 1195  -2  -4  4.472136 43.222264 17763.932 410.9903 34064.8388 368089.867 2702
## 1196  -2  -3  3.605551 45.356508 18197.224 401.2043 39364.3079 446356.886 2702
## 1197  -2  -2  2.828427 47.314167 18585.786 392.8165 44684.5488 528553.048 2702
## 1198  -2  -1  2.236068 48.834161 18881.966 386.6549 49130.9307 599816.949 2702
## 1199  -2   0  2.000000 49.446609 19000.000 384.2528 51002.7188 630477.872 2702
## 1200  -2   1  2.236068 48.834161 18881.966 386.6549 49130.9307 599816.949 2702
## 1201  -2   2  2.828427 47.314167 18585.786 392.8165 44684.5488 528553.048 2702
## 1202  -2   3  3.605551 45.356508 18197.224 401.2043 39364.3079 446356.886 2702
## 1203  -2   4  4.472136 43.222264 17763.932 410.9903 34064.8388 368089.867 2702
## 1204  -2   5  5.385165 41.029276 17307.418 421.8309 29138.3770 298881.629 2702
## 1205  -2   6  6.324555 38.832558 16837.722 433.5981 24704.2562 239832.365 2702
## 1206  -2   7  7.280110 36.660045 16359.945 446.2609 20785.6096 190500.345 2702
## 1207  -2   8  8.246211 34.527125 15876.894 459.8383 17364.6109 149887.524 2702
## 1208  -2   9  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 1209  -2  10 10.198039 30.412982 14900.980 489.9546 11867.5426  90231.839 2702
## 1210  -2  11 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 1211  -2  12 12.165525 26.529886 13917.237 524.5872  7877.5279  52247.479 2702
## 1212  -2  13 13.152946 24.680990 13423.527 543.8812  6342.6613  39135.790 2702
## 1213  -2  14 14.142136 22.895737 12928.932 564.6873  5063.4633  28982.931 2702
## 1214  -2  15 15.132746 21.175076 12433.627 587.1822  4005.5184  21204.290 2702
## 1215  -2  16 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 1216  -2  17 17.117243 17.930237 11441.379 638.1053  2431.8785  10901.039 2702
## 1217  -2  18 18.110770 16.407042 10944.615 667.0682  1863.2650   7642.667 2702
## 1218  -2  19 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 1219  -2  20 20.099751 13.560832  9950.124 733.7400  1052.0655   3566.721 2702
## 1220  -2  21 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 1221  -2  22 22.090722 10.983114  8954.639 815.3097   558.9336   1534.708 2702
## 1227  -1 -23 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
## 1228  -1 -22 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 1229  -1 -21 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 1230  -1 -20 20.024984 13.662922  9987.508 730.9936  1076.0056   3675.345 2702
## 1231  -1 -19 19.026298 15.063279 10486.851 696.1865  1441.9240   5430.026 2702
## 1232  -1 -18 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 1233  -1 -17 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 1234  -1 -16 16.031220 19.672574 11984.390 609.1928  3211.9396  15796.780 2702
## 1235  -1 -15 15.033296 21.344782 12483.352 584.8432  4102.5982  21892.266 2702
## 1236  -1 -14 14.035669 23.084666 12982.166 562.3718  5189.8474  29951.473 2702
## 1237  -1 -13 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 1238  -1 -12 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 1239  -1 -11 11.045361 28.708178 14477.319 504.2925  9981.6118  71638.471 2702
## 1240  -1 -10 10.049876 30.716136 14975.062 487.5308 12225.9757  93883.683 2702
## 1241  -1  -9  9.055385 32.789854 15472.307 471.8627 14873.1254 121921.902 2702
## 1242  -1  -8  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 1243  -1  -7  7.071068 37.129971 16464.466 443.4279 21595.2201 200457.476 2702
## 1244  -1  -6  6.082763 39.392202 16958.619 430.5070 25787.8171 253959.728 2702
## 1245  -1  -5  5.099020 41.710421 17450.490 418.3724 30613.8194 319228.825 2702
## 1246  -1  -4  4.123106 44.075678 17938.447 406.9920 36122.7496 398033.671 2702
## 1247  -1  -3  3.162278 46.468094 18418.861 396.3765 42330.0098 491748.719 2702
## 1248  -1  -2  2.236068 48.834161 18881.966 386.6549 49130.9307 599816.949 2702
## 1249  -1  -1  1.414214 50.982841 19292.893 378.4193 55905.6737 712557.517 2702
## 1250  -1   0  1.000000 52.083305 19500.000 374.4002 59604.5468 776100.445 2702
## 1251  -1   1  1.414214 50.982841 19292.893 378.4193 55905.6737 712557.517 2702
## 1252  -1   2  2.236068 48.834161 18881.966 386.6549 49130.9307 599816.949 2702
## 1253  -1   3  3.162278 46.468094 18418.861 396.3765 42330.0098 491748.719 2702
## 1254  -1   4  4.123106 44.075678 17938.447 406.9920 36122.7496 398033.671 2702
## 1255  -1   5  5.099020 41.710421 17450.490 418.3724 30613.8194 319228.825 2702
## 1256  -1   6  6.082763 39.392202 16958.619 430.5070 25787.8171 253959.728 2702
## 1257  -1   7  7.071068 37.129971 16464.466 443.4279 21595.2201 200457.476 2702
## 1258  -1   8  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 1259  -1   9  9.055385 32.789854 15472.307 471.8627 14873.1254 121921.902 2702
## 1260  -1  10 10.049876 30.716136 14975.062 487.5308 12225.9757  93883.683 2702
## 1261  -1  11 11.045361 28.708178 14477.319 504.2925  9981.6118  71638.471 2702
## 1262  -1  12 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 1263  -1  13 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 1264  -1  14 14.035669 23.084666 12982.166 562.3718  5189.8474  29951.473 2702
## 1265  -1  15 15.033296 21.344782 12483.352 584.8432  4102.5982  21892.266 2702
## 1266  -1  16 16.031220 19.672574 11984.390 609.1928  3211.9396  15796.780 2702
## 1267  -1  17 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 1268  -1  18 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 1269  -1  19 19.026298 15.063279 10486.851 696.1865  1441.9240   5430.026 2702
## 1270  -1  20 20.024984 13.662922  9987.508 730.9936  1076.0056   3675.345 2702
## 1271  -1  21 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 1272  -1  22 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 1273  -1  23 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
## 1278   0 -23 23.000000  9.896170  8500.000 858.9181   408.8700   1011.562 2702
## 1279   0 -22 22.000000 11.094668  9000.000 811.2004   576.1383   1598.016 2702
## 1280   0 -21 21.000000 12.361652  9500.000 768.5057   796.9175   2462.804 2702
## 1281   0 -20 20.000000 13.697122 10000.000 730.0804  1084.1059   3712.283 2702
## 1282   0 -19 19.000000 15.101077 10500.000 695.3147  1452.8056   5484.732 2702
## 1283   0 -18 18.000000 16.573517 11000.000 663.7095  1920.5598   7957.608 2702
## 1284   0 -17 17.000000 18.114443 11500.000 634.8525  2507.6029  11355.958 2702
## 1285   0 -16 16.000000 19.723855 12000.000 608.4003  3237.1230  15962.136 2702
## 1286   0 -15 15.000000 21.401752 12500.000 584.0643  4135.5359  22126.929 2702
## 1287   0 -14 14.000000 23.148135 13000.000 561.6003  5232.7723  30282.230 2702
## 1288   0 -13 13.000000 24.963004 13500.000 540.8003  6562.5758  40955.402 2702
## 1289   0 -12 12.000000 26.846358 14000.000 521.4860  8162.8147  54785.462 2702
## 1290   0 -11 11.000000 28.798198 14500.000 503.5037 10075.8046  72541.254 2702
## 1291   0 -10 10.000000 30.818524 15000.000 486.7203 12348.6442  95141.745 2702
## 1292   0  -9  9.000000 32.907335 15500.000 471.0196 15033.5626 123678.619 2702
## 1293   0  -8  8.000000 35.064631 16000.000 456.3002 18188.2794 159441.328 2702
## 1294   0  -7  7.000000 37.290413 16500.000 442.4730 21876.3764 203944.781 2702
## 1295   0  -6  6.000000 39.584681 17000.000 429.4591 26167.6818 258959.837 2702
## 1296   0  -5  5.000000 41.947435 17500.000 417.1888 31138.6668 326546.799 2702
## 1297   0  -4  4.000000 44.378674 18000.000 405.6002 36872.8539 409092.090 2702
## 1298   0  -3  3.000000 46.878399 18500.000 394.6381 43461.2379 509348.309 2702
## 1299   0  -2  2.000000 49.446609 19000.000 384.2528 51002.7188 630477.872 2702
## 1300   0  -1  1.000000 52.083305 19500.000 374.4002 59604.5468 776100.445 2702
## 1301   0   0  0.000000 54.788486 20000.000 365.0402 69382.7798 950344.371 2702
## 1302   0   1  1.000000 52.083305 19500.000 374.4002 59604.5468 776100.445 2702
## 1303   0   2  2.000000 49.446609 19000.000 384.2528 51002.7188 630477.872 2702
## 1304   0   3  3.000000 46.878399 18500.000 394.6381 43461.2379 509348.309 2702
## 1305   0   4  4.000000 44.378674 18000.000 405.6002 36872.8539 409092.090 2702
## 1306   0   5  5.000000 41.947435 17500.000 417.1888 31138.6668 326546.799 2702
## 1307   0   6  6.000000 39.584681 17000.000 429.4591 26167.6818 258959.837 2702
## 1308   0   7  7.000000 37.290413 16500.000 442.4730 21876.3764 203944.781 2702
## 1309   0   8  8.000000 35.064631 16000.000 456.3002 18188.2794 159441.328 2702
## 1310   0   9  9.000000 32.907335 15500.000 471.0196 15033.5626 123678.619 2702
## 1311   0  10 10.000000 30.818524 15000.000 486.7203 12348.6442  95141.745 2702
## 1312   0  11 11.000000 28.798198 14500.000 503.5037 10075.8046  72541.254 2702
## 1313   0  12 12.000000 26.846358 14000.000 521.4860  8162.8147  54785.462 2702
## 1314   0  13 13.000000 24.963004 13500.000 540.8003  6562.5758  40955.402 2702
## 1315   0  14 14.000000 23.148135 13000.000 561.6003  5232.7723  30282.230 2702
## 1316   0  15 15.000000 21.401752 12500.000 584.0643  4135.5359  22126.929 2702
## 1317   0  16 16.000000 19.723855 12000.000 608.4003  3237.1230  15962.136 2702
## 1318   0  17 17.000000 18.114443 11500.000 634.8525  2507.6029  11355.958 2702
## 1319   0  18 18.000000 16.573517 11000.000 663.7095  1920.5598   7957.608 2702
## 1320   0  19 19.000000 15.101077 10500.000 695.3147  1452.8056   5484.732 2702
## 1321   0  20 20.000000 13.697122 10000.000 730.0804  1084.1059   3712.283 2702
## 1322   0  21 21.000000 12.361652  9500.000 768.5057   796.9175   2462.804 2702
## 1323   0  22 22.000000 11.094668  9000.000 811.2004   576.1383   1598.016 2702
## 1324   0  23 23.000000  9.896170  8500.000 858.9181   408.8700   1011.562 2702
## 1329   1 -23 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
## 1330   1 -22 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 1331   1 -21 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 1332   1 -20 20.024984 13.662922  9987.508 730.9936  1076.0056   3675.345 2702
## 1333   1 -19 19.026298 15.063279 10486.851 696.1865  1441.9240   5430.026 2702
## 1334   1 -18 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 1335   1 -17 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 1336   1 -16 16.031220 19.672574 11984.390 609.1928  3211.9396  15796.780 2702
## 1337   1 -15 15.033296 21.344782 12483.352 584.8432  4102.5982  21892.266 2702
## 1338   1 -14 14.035669 23.084666 12982.166 562.3718  5189.8474  29951.473 2702
## 1339   1 -13 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 1340   1 -12 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 1341   1 -11 11.045361 28.708178 14477.319 504.2925  9981.6118  71638.471 2702
## 1342   1 -10 10.049876 30.716136 14975.062 487.5308 12225.9757  93883.683 2702
## 1343   1  -9  9.055385 32.789854 15472.307 471.8627 14873.1254 121921.902 2702
## 1344   1  -8  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 1345   1  -7  7.071068 37.129971 16464.466 443.4279 21595.2201 200457.476 2702
## 1346   1  -6  6.082763 39.392202 16958.619 430.5070 25787.8171 253959.728 2702
## 1347   1  -5  5.099020 41.710421 17450.490 418.3724 30613.8194 319228.825 2702
## 1348   1  -4  4.123106 44.075678 17938.447 406.9920 36122.7496 398033.671 2702
## 1349   1  -3  3.162278 46.468094 18418.861 396.3765 42330.0098 491748.719 2702
## 1350   1  -2  2.236068 48.834161 18881.966 386.6549 49130.9307 599816.949 2702
## 1351   1  -1  1.414214 50.982841 19292.893 378.4193 55905.6737 712557.517 2702
## 1352   1   0  1.000000 52.083305 19500.000 374.4002 59604.5468 776100.445 2702
## 1353   1   1  1.414214 50.982841 19292.893 378.4193 55905.6737 712557.517 2702
## 1354   1   2  2.236068 48.834161 18881.966 386.6549 49130.9307 599816.949 2702
## 1355   1   3  3.162278 46.468094 18418.861 396.3765 42330.0098 491748.719 2702
## 1356   1   4  4.123106 44.075678 17938.447 406.9920 36122.7496 398033.671 2702
## 1357   1   5  5.099020 41.710421 17450.490 418.3724 30613.8194 319228.825 2702
## 1358   1   6  6.082763 39.392202 16958.619 430.5070 25787.8171 253959.728 2702
## 1359   1   7  7.071068 37.129971 16464.466 443.4279 21595.2201 200457.476 2702
## 1360   1   8  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 1361   1   9  9.055385 32.789854 15472.307 471.8627 14873.1254 121921.902 2702
## 1362   1  10 10.049876 30.716136 14975.062 487.5308 12225.9757  93883.683 2702
## 1363   1  11 11.045361 28.708178 14477.319 504.2925  9981.6118  71638.471 2702
## 1364   1  12 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 1365   1  13 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 1366   1  14 14.035669 23.084666 12982.166 562.3718  5189.8474  29951.473 2702
## 1367   1  15 15.033296 21.344782 12483.352 584.8432  4102.5982  21892.266 2702
## 1368   1  16 16.031220 19.672574 11984.390 609.1928  3211.9396  15796.780 2702
## 1369   1  17 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 1370   1  18 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 1371   1  19 19.026298 15.063279 10486.851 696.1865  1441.9240   5430.026 2702
## 1372   1  20 20.024984 13.662922  9987.508 730.9936  1076.0056   3675.345 2702
## 1373   1  21 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 1374   1  22 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 1375   1  23 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
## 1381   2 -22 22.090722 10.983114  8954.639 815.3097   558.9336   1534.708 2702
## 1382   2 -21 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 1383   2 -20 20.099751 13.560832  9950.124 733.7400  1052.0655   3566.721 2702
## 1384   2 -19 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 1385   2 -18 18.110770 16.407042 10944.615 667.0682  1863.2650   7642.667 2702
## 1386   2 -17 17.117243 17.930237 11441.379 638.1053  2431.8785  10901.039 2702
## 1387   2 -16 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 1388   2 -15 15.132746 21.175076 12433.627 587.1822  4005.5184  21204.290 2702
## 1389   2 -14 14.142136 22.895737 12928.932 564.6873  5063.4633  28982.931 2702
## 1390   2 -13 13.152946 24.680990 13423.527 543.8812  6342.6613  39135.790 2702
## 1391   2 -12 12.165525 26.529886 13917.237 524.5872  7877.5279  52247.479 2702
## 1392   2 -11 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 1393   2 -10 10.198039 30.412982 14900.980 489.9546 11867.5426  90231.839 2702
## 1394   2  -9  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 1395   2  -8  8.246211 34.527125 15876.894 459.8383 17364.6109 149887.524 2702
## 1396   2  -7  7.280110 36.660045 16359.945 446.2609 20785.6096 190500.345 2702
## 1397   2  -6  6.324555 38.832558 16837.722 433.5981 24704.2562 239832.365 2702
## 1398   2  -5  5.385165 41.029276 17307.418 421.8309 29138.3770 298881.629 2702
## 1399   2  -4  4.472136 43.222264 17763.932 410.9903 34064.8388 368089.867 2702
## 1400   2  -3  3.605551 45.356508 18197.224 401.2043 39364.3079 446356.886 2702
## 1401   2  -2  2.828427 47.314167 18585.786 392.8165 44684.5488 528553.048 2702
## 1402   2  -1  2.236068 48.834161 18881.966 386.6549 49130.9307 599816.949 2702
## 1403   2   0  2.000000 49.446609 19000.000 384.2528 51002.7188 630477.872 2702
## 1404   2   1  2.236068 48.834161 18881.966 386.6549 49130.9307 599816.949 2702
## 1405   2   2  2.828427 47.314167 18585.786 392.8165 44684.5488 528553.048 2702
## 1406   2   3  3.605551 45.356508 18197.224 401.2043 39364.3079 446356.886 2702
## 1407   2   4  4.472136 43.222264 17763.932 410.9903 34064.8388 368089.867 2702
## 1408   2   5  5.385165 41.029276 17307.418 421.8309 29138.3770 298881.629 2702
## 1409   2   6  6.324555 38.832558 16837.722 433.5981 24704.2562 239832.365 2702
## 1410   2   7  7.280110 36.660045 16359.945 446.2609 20785.6096 190500.345 2702
## 1411   2   8  8.246211 34.527125 15876.894 459.8383 17364.6109 149887.524 2702
## 1412   2   9  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 1413   2  10 10.198039 30.412982 14900.980 489.9546 11867.5426  90231.839 2702
## 1414   2  11 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 1415   2  12 12.165525 26.529886 13917.237 524.5872  7877.5279  52247.479 2702
## 1416   2  13 13.152946 24.680990 13423.527 543.8812  6342.6613  39135.790 2702
## 1417   2  14 14.142136 22.895737 12928.932 564.6873  5063.4633  28982.931 2702
## 1418   2  15 15.132746 21.175076 12433.627 587.1822  4005.5184  21204.290 2702
## 1419   2  16 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 1420   2  17 17.117243 17.930237 11441.379 638.1053  2431.8785  10901.039 2702
## 1421   2  18 18.110770 16.407042 10944.615 667.0682  1863.2650   7642.667 2702
## 1422   2  19 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 1423   2  20 20.099751 13.560832  9950.124 733.7400  1052.0655   3566.721 2702
## 1424   2  21 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 1425   2  22 22.090722 10.983114  8954.639 815.3097   558.9336   1534.708 2702
## 1432   3 -22 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 1433   3 -21 21.213203 12.085783  9393.398 777.2271   744.7459   2250.209 2702
## 1434   3 -20 20.223748 13.392365  9888.126 738.3405  1013.3410   3392.758 2702
## 1435   3 -19 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 1436   3 -18 18.248288 16.201537 10875.856 671.2854  1794.1240   7266.892 2702
## 1437   3 -17 17.262677 17.703046 11368.662 642.1868  2340.6032  10358.952 2702
## 1438   3 -16 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 1439   3 -15 15.297059 20.896168 12351.471 591.0878  3849.3178  20108.998 2702
## 1440   3 -14 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 1441   3 -13 13.341664 24.335226 13329.168 547.7314  6079.8094  36988.385 2702
## 1442   3 -12 12.369317 26.142828 13815.342 528.4563  7537.7457  49264.497 2702
## 1443   3 -11 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 1444   3 -10 10.440307 29.920522 14779.847 493.9702 11300.3347  84527.979 2702
## 1445   3  -9  9.486833 31.881878 15256.584 478.5347 13671.4779 108968.097 2702
## 1446   3  -8  8.544004 33.882559 15727.998 464.1916 16410.1449 139004.427 2702
## 1447   3  -7  7.615773 35.911735 16192.113 450.8864 19538.5779 175416.057 2702
## 1448   3  -6  6.708204 37.952796 16645.898 438.5948 23062.9630 218825.980 2702
## 1449   3  -5  5.830952 39.979290 17084.524 427.3344 26958.0844 269441.271 2702
## 1450   3  -4  5.000000 41.947435 17500.000 417.1888 31138.6668 326546.799 2702
## 1451   3  -3  4.242641 43.782464 17878.680 408.3525 35406.6126 387547.183 2702
## 1452   3  -2  3.605551 45.356508 18197.224 401.2043 39364.3079 446356.886 2702
## 1453   3  -1  3.162278 46.468094 18418.861 396.3765 42330.0098 491748.719 2702
## 1454   3   0  3.000000 46.878399 18500.000 394.6381 43461.2379 509348.309 2702
## 1455   3   1  3.162278 46.468094 18418.861 396.3765 42330.0098 491748.719 2702
## 1456   3   2  3.605551 45.356508 18197.224 401.2043 39364.3079 446356.886 2702
## 1457   3   3  4.242641 43.782464 17878.680 408.3525 35406.6126 387547.183 2702
## 1458   3   4  5.000000 41.947435 17500.000 417.1888 31138.6668 326546.799 2702
## 1459   3   5  5.830952 39.979290 17084.524 427.3344 26958.0844 269441.271 2702
## 1460   3   6  6.708204 37.952796 16645.898 438.5948 23062.9630 218825.980 2702
## 1461   3   7  7.615773 35.911735 16192.113 450.8864 19538.5779 175416.057 2702
## 1462   3   8  8.544004 33.882559 15727.998 464.1916 16410.1449 139004.427 2702
## 1463   3   9  9.486833 31.881878 15256.584 478.5347 13671.4779 108968.097 2702
## 1464   3  10 10.440307 29.920522 14779.847 493.9702 11300.3347  84527.979 2702
## 1465   3  11 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 1466   3  12 12.369317 26.142828 13815.342 528.4563  7537.7457  49264.497 2702
## 1467   3  13 13.341664 24.335226 13329.168 547.7314  6079.8094  36988.385 2702
## 1468   3  14 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 1469   3  15 15.297059 20.896168 12351.471 591.0878  3849.3178  20108.998 2702
## 1470   3  16 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 1471   3  17 17.262677 17.703046 11368.662 642.1868  2340.6032  10358.952 2702
## 1472   3  18 18.248288 16.201537 10875.856 671.2854  1794.1240   7266.892 2702
## 1473   3  19 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 1474   3  20 20.223748 13.392365  9888.126 738.3405  1013.3410   3392.758 2702
## 1475   3  21 21.213203 12.085783  9393.398 777.2271   744.7459   2250.209 2702
## 1476   3  22 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 1483   4 -22 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 1484   4 -21 21.377558 11.875245  9311.221 784.0867   706.4989   2097.462 2702
## 1485   4 -20 20.396078 13.159981  9801.961 744.8310   961.5005   3163.332 2702
## 1486   4 -19 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 1487   4 -18 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 1488   4 -17 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 1489   4 -16 16.492423 18.922786 11753.789 621.1447  2858.5053  13522.721 2702
## 1490   4 -15 15.524175 20.513700 12237.913 596.5727  3641.7977  18676.687 2702
## 1491   4 -14 14.560220 22.161341 12719.890 573.9675  4591.6828  25439.462 2702
## 1492   4 -13 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 1493   4 -12 12.649111 25.616054 13675.445 533.8623  7091.2119  45412.216 2702
## 1494   4 -11 11.704700 27.415611 14147.650 516.0436  8693.1580  59582.059 2702
## 1495   4 -10 10.770330 29.256149 14614.835 499.5475 10564.1670  77266.710 2702
## 1496   4  -9  9.848858 31.129838 15075.571 484.2804 12726.6576  99044.697 2702
## 1497   4  -8  8.944272 33.025755 15527.864 470.1744 15196.4464 125468.527 2702
## 1498   4  -7  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 1499   4  -6  7.211103 36.814842 16394.449 445.3217 21050.0256 193738.344 2702
## 1500   4  -5  6.403124 38.651567 16798.438 434.6121 24360.4389 235392.284 2702
## 1501   4  -4  5.656854 40.387732 17171.573 425.1680 27792.7926 280621.964 2702
## 1502   4  -3  5.000000 41.947435 17500.000 417.1888 31138.6668 326546.799 2702
## 1503   4  -2  4.472136 43.222264 17763.932 410.9903 34064.8388 368089.867 2702
## 1504   4  -1  4.123106 44.075678 17938.447 406.9920 36122.7496 398033.671 2702
## 1505   4   0  4.000000 44.378674 18000.000 405.6002 36872.8539 409092.090 2702
## 1506   4   1  4.123106 44.075678 17938.447 406.9920 36122.7496 398033.671 2702
## 1507   4   2  4.472136 43.222264 17763.932 410.9903 34064.8388 368089.867 2702
## 1508   4   3  5.000000 41.947435 17500.000 417.1888 31138.6668 326546.799 2702
## 1509   4   4  5.656854 40.387732 17171.573 425.1680 27792.7926 280621.964 2702
## 1510   4   5  6.403124 38.651567 16798.438 434.6121 24360.4389 235392.284 2702
## 1511   4   6  7.211103 36.814842 16394.449 445.3217 21050.0256 193738.344 2702
## 1512   4   7  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 1513   4   8  8.944272 33.025755 15527.864 470.1744 15196.4464 125468.527 2702
## 1514   4   9  9.848858 31.129838 15075.571 484.2804 12726.6576  99044.697 2702
## 1515   4  10 10.770330 29.256149 14614.835 499.5475 10564.1670  77266.710 2702
## 1516   4  11 11.704700 27.415611 14147.650 516.0436  8693.1580  59582.059 2702
## 1517   4  12 12.649111 25.616054 13675.445 533.8623  7091.2119  45412.216 2702
## 1518   4  13 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 1519   4  14 14.560220 22.161341 12719.890 573.9675  4591.6828  25439.462 2702
## 1520   4  15 15.524175 20.513700 12237.913 596.5727  3641.7977  18676.687 2702
## 1521   4  16 16.492423 18.922786 11753.789 621.1447  2858.5053  13522.721 2702
## 1522   4  17 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 1523   4  18 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 1524   4  19 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 1525   4  20 20.396078 13.159981  9801.961 744.8310   961.5005   3163.332 2702
## 1526   4  21 21.377558 11.875245  9311.221 784.0867   706.4989   2097.462 2702
## 1527   4  22 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 1534   5 -22 22.561028 10.413844  8719.486 837.2975   476.4496   1240.418 2702
## 1535   5 -21 21.587033 11.609589  9206.483 793.0068   660.1375   1915.981 2702
## 1536   5 -20 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 1537   5 -19 19.646883 14.185060 10176.559 717.4138  1204.1410   4270.203 2702
## 1538   5 -18 18.681542 15.562555 10659.229 684.9280  1590.1076   6186.534 2702
## 1539   5 -17 17.720045 16.998004 11139.977 655.3697  2071.9420   8804.720 2702
## 1540   5 -16 16.763055 18.489595 11618.473 628.3790  2666.6497  12326.318 2702
## 1541   5 -15 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 1542   5 -14 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 1543   5 -13 13.928388 23.275825 13035.806 560.0577  5319.8456  30955.948 2702
## 1544   5 -12 13.000000 24.963004 13500.000 540.8003  6562.5758  40955.402 2702
## 1545   5 -11 12.083046 26.687346 13958.477 523.0373  8018.6256  53498.958 2702
## 1546   5 -10 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 1547   5  -9 10.295630 30.214124 14852.185 491.5643 11636.2706  87894.930 2702
## 1548   5  -8  9.433981 31.992419 15283.009 477.7072 13814.1768 110487.231 2702
## 1549   5  -7  8.602325 33.757035 15698.837 465.0538 16228.4359 136955.969 2702
## 1550   5  -6  7.810250 35.481709 16094.875 453.6105 18845.0545 167163.687 2702
## 1551   5  -5  7.071068 37.129971 16464.466 443.4279 21595.2201 200457.476 2702
## 1552   5  -4  6.403124 38.651567 16798.438 434.6121 24360.4389 235392.284 2702
## 1553   5  -3  5.830952 39.979290 17084.524 427.3344 26958.0844 269441.271 2702
## 1554   5  -2  5.385165 41.029276 17307.418 421.8309 29138.3770 298881.629 2702
## 1555   5  -1  5.099020 41.710421 17450.490 418.3724 30613.8194 319228.825 2702
## 1556   5   0  5.000000 41.947435 17500.000 417.1888 31138.6668 326546.799 2702
## 1557   5   1  5.099020 41.710421 17450.490 418.3724 30613.8194 319228.825 2702
## 1558   5   2  5.385165 41.029276 17307.418 421.8309 29138.3770 298881.629 2702
## 1559   5   3  5.830952 39.979290 17084.524 427.3344 26958.0844 269441.271 2702
## 1560   5   4  6.403124 38.651567 16798.438 434.6121 24360.4389 235392.284 2702
## 1561   5   5  7.071068 37.129971 16464.466 443.4279 21595.2201 200457.476 2702
## 1562   5   6  7.810250 35.481709 16094.875 453.6105 18845.0545 167163.687 2702
## 1563   5   7  8.602325 33.757035 15698.837 465.0538 16228.4359 136955.969 2702
## 1564   5   8  9.433981 31.992419 15283.009 477.7072 13814.1768 110487.231 2702
## 1565   5   9 10.295630 30.214124 14852.185 491.5643 11636.2706  87894.930 2702
## 1566   5  10 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 1567   5  11 12.083046 26.687346 13958.477 523.0373  8018.6256  53498.958 2702
## 1568   5  12 13.000000 24.963004 13500.000 540.8003  6562.5758  40955.402 2702
## 1569   5  13 13.928388 23.275825 13035.806 560.0577  5319.8456  30955.948 2702
## 1570   5  14 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 1571   5  15 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 1572   5  16 16.763055 18.489595 11618.473 628.3790  2666.6497  12326.318 2702
## 1573   5  17 17.720045 16.998004 11139.977 655.3697  2071.9420   8804.720 2702
## 1574   5  18 18.681542 15.562555 10659.229 684.9280  1590.1076   6186.534 2702
## 1575   5  19 19.646883 14.185060 10176.559 717.4138  1204.1410   4270.203 2702
## 1576   5  20 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 1577   5  21 21.587033 11.609589  9206.483 793.0068   660.1375   1915.981 2702
## 1578   5  22 22.561028 10.413844  8719.486 837.2975   476.4496   1240.418 2702
## 1585   6 -22 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 1586   6 -21 21.840330 11.292374  9079.835 804.0679   607.4905   1715.002 2702
## 1587   6 -20 20.880613 12.517490  9559.693 763.7069   827.4381   2589.362 2702
## 1588   6 -19 19.924859 13.800237 10037.571 727.3477  1108.7749   3825.339 2702
## 1589   6 -18 18.973666 15.138974 10513.167 694.4438  1463.7709   5539.997 2702
## 1590   6 -17 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 1591   6 -16 17.088007 17.976082 11455.996 637.2911  2450.5801  11012.957 2702
## 1592   6 -15 16.155494 19.469104 11922.253 612.3678  3113.3051  15153.315 2702
## 1593   6 -14 15.231546 21.007149 12384.227 589.5244  3910.9758  20539.612 2702
## 1594   6 -13 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 1595   6 -12 13.416408 24.198957 13291.796 549.2714  5978.2454  36166.826 2702
## 1596   6 -11 12.529964 25.839718 13735.018 531.5467  7278.5876  47019.163 2702
## 1597   6 -10 11.661904 27.498605 14169.048 515.2643  8772.3464  60306.822 2702
## 1598   6  -9 10.816654 29.163490 14591.673 500.3404 10464.1093  76292.487 2702
## 1599   6  -8 10.000000 30.818524 15000.000 486.7203 12348.6442  95141.745 2702
## 1600   6  -7  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 1601   6  -6  8.485281 34.009182 15757.359 463.3266 16594.8126 141094.001 2702
## 1602   6  -5  7.810250 35.481709 16094.875 453.6105 18845.0545 167163.687 2702
## 1603   6  -4  7.211103 36.814842 16394.449 445.3217 21050.0256 193738.344 2702
## 1604   6  -3  6.708204 37.952796 16645.898 438.5948 23062.9630 218825.980 2702
## 1605   6  -2  6.324555 38.832558 16837.722 433.5981 24704.2562 239832.365 2702
## 1606   6  -1  6.082763 39.392202 16958.619 430.5070 25787.8171 253959.728 2702
## 1607   6   0  6.000000 39.584681 17000.000 429.4591 26167.6818 258959.837 2702
## 1608   6   1  6.082763 39.392202 16958.619 430.5070 25787.8171 253959.728 2702
## 1609   6   2  6.324555 38.832558 16837.722 433.5981 24704.2562 239832.365 2702
## 1610   6   3  6.708204 37.952796 16645.898 438.5948 23062.9630 218825.980 2702
## 1611   6   4  7.211103 36.814842 16394.449 445.3217 21050.0256 193738.344 2702
## 1612   6   5  7.810250 35.481709 16094.875 453.6105 18845.0545 167163.687 2702
## 1613   6   6  8.485281 34.009182 15757.359 463.3266 16594.8126 141094.001 2702
## 1614   6   7  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 1615   6   8 10.000000 30.818524 15000.000 486.7203 12348.6442  95141.745 2702
## 1616   6   9 10.816654 29.163490 14591.673 500.3404 10464.1093  76292.487 2702
## 1617   6  10 11.661904 27.498605 14169.048 515.2643  8772.3464  60306.822 2702
## 1618   6  11 12.529964 25.839718 13735.018 531.5467  7278.5876  47019.163 2702
## 1619   6  12 13.416408 24.198957 13291.796 549.2714  5978.2454  36166.826 2702
## 1620   6  13 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 1621   6  14 15.231546 21.007149 12384.227 589.5244  3910.9758  20539.612 2702
## 1622   6  15 16.155494 19.469104 11922.253 612.3678  3113.3051  15153.315 2702
## 1623   6  16 17.088007 17.976082 11455.996 637.2911  2450.5801  11012.957 2702
## 1624   6  17 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 1625   6  18 18.973666 15.138974 10513.167 694.4438  1463.7709   5539.997 2702
## 1626   6  19 19.924859 13.800237 10037.571 727.3477  1108.7749   3825.339 2702
## 1627   6  20 20.880613 12.517490  9559.693 763.7069   827.4381   2589.362 2702
## 1628   6  21 21.840330 11.292374  9079.835 804.0679   607.4905   1715.002 2702
## 1629   6  22 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 1637   7 -21 22.135944 10.927718  8932.028 817.3736   550.5189   1503.979 2702
## 1638   7 -20 21.189620 12.116145  9405.190 776.2527   750.3729   2272.907 2702
## 1639   7 -19 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 1640   7 -18 19.313208 14.653981 10343.396 705.8421  1327.5493   4863.470 2702
## 1641   7 -17 18.384776 15.998851 10807.612 675.5243  1727.6277   6910.014 2702
## 1642   7 -16 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 1643   7 -15 16.552945 18.825474 11723.527 622.7481  2814.6314  13246.692 2702
## 1644   7 -14 15.652476 20.299200 12173.762 599.7163  3528.7475  17907.688 2702
## 1645   7 -13 14.764823 21.806302 12617.588 578.6212  4374.5146  23847.997 2702
## 1646   7 -12 13.892444 23.340049 13053.778 559.2867  5364.0036  31299.026 2702
## 1647   7 -11 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 1648   7 -10 12.206556 26.451729 13896.722 525.3616  7808.1110  51634.508 2702
## 1649   7  -9 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 1650   7  -8 10.630146 29.537443 14684.927 497.1631 10871.8259  80281.485 2702
## 1651   7  -7  9.899495 31.025364 15050.253 485.0951 12598.9527  97721.773 2702
## 1652   7  -6  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 1653   7  -5  8.602325 33.757035 15698.837 465.0538 16228.4359 136955.969 2702
## 1654   7  -4  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 1655   7  -3  7.615773 35.911735 16192.113 450.8864 19538.5779 175416.057 2702
## 1656   7  -2  7.280110 36.660045 16359.945 446.2609 20785.6096 190500.345 2702
## 1657   7  -1  7.071068 37.129971 16464.466 443.4279 21595.2201 200457.476 2702
## 1658   7   0  7.000000 37.290413 16500.000 442.4730 21876.3764 203944.781 2702
## 1659   7   1  7.071068 37.129971 16464.466 443.4279 21595.2201 200457.476 2702
## 1660   7   2  7.280110 36.660045 16359.945 446.2609 20785.6096 190500.345 2702
## 1661   7   3  7.615773 35.911735 16192.113 450.8864 19538.5779 175416.057 2702
## 1662   7   4  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 1663   7   5  8.602325 33.757035 15698.837 465.0538 16228.4359 136955.969 2702
## 1664   7   6  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 1665   7   7  9.899495 31.025364 15050.253 485.0951 12598.9527  97721.773 2702
## 1666   7   8 10.630146 29.537443 14684.927 497.1631 10871.8259  80281.485 2702
## 1667   7   9 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 1668   7  10 12.206556 26.451729 13896.722 525.3616  7808.1110  51634.508 2702
## 1669   7  11 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 1670   7  12 13.892444 23.340049 13053.778 559.2867  5364.0036  31299.026 2702
## 1671   7  13 14.764823 21.806302 12617.588 578.6212  4374.5146  23847.997 2702
## 1672   7  14 15.652476 20.299200 12173.762 599.7163  3528.7475  17907.688 2702
## 1673   7  15 16.552945 18.825474 11723.527 622.7481  2814.6314  13246.692 2702
## 1674   7  16 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 1675   7  17 18.384776 15.998851 10807.612 675.5243  1727.6277   6910.014 2702
## 1676   7  18 19.313208 14.653981 10343.396 705.8421  1327.5493   4863.470 2702
## 1677   7  19 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 1678   7  20 21.189620 12.116145  9405.190 776.2527   750.3729   2272.907 2702
## 1679   7  21 22.135944 10.927718  8932.028 817.3736   550.5189   1503.979 2702
## 1688   8 -21 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 1689   8 -20 21.540659 11.668142  9229.670 791.0146   670.1760   1954.927 2702
## 1690   8 -19 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 1691   8 -18 19.697716 14.114293 10151.142 719.2101  1186.2089   4185.625 2702
## 1692   8 -17 18.788294 15.407086 10605.853 688.3750  1542.9268   5943.001 2702
## 1693   8 -16 17.888544 16.741872 11055.728 660.3639  1979.6837   8285.903 2702
## 1694   8 -15 17.000000 18.114443 11500.000 634.8525  2507.6029  11355.958 2702
## 1695   8 -14 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 1696   8 -13 15.264338 20.951562 12367.831 590.3059  3880.0116  20323.076 2702
## 1697   8 -12 14.422205 22.402450 12788.897 570.8705  4743.1881  26564.759 2702
## 1698   8 -11 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 1699   8 -10 12.806248 25.322558 13596.876 536.9472  6850.2512  43366.470 2702
## 1700   8  -9 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 1701   8  -8 11.313708 28.178517 14343.146 509.0100  9439.2653  66496.124 2702
## 1702   8  -7 10.630146 29.537443 14684.927 497.1631 10871.8259  80281.485 2702
## 1703   8  -6 10.000000 30.818524 15000.000 486.7203 12348.6442  95141.745 2702
## 1704   8  -5  9.433981 31.992419 15283.009 477.7072 13814.1768 110487.231 2702
## 1705   8  -4  8.944272 33.025755 15527.864 470.1744 15196.4464 125468.527 2702
## 1706   8  -3  8.544004 33.882559 15727.998 464.1916 16410.1449 139004.427 2702
## 1707   8  -2  8.246211 34.527125 15876.894 459.8383 17364.6109 149887.524 2702
## 1708   8  -1  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 1709   8   0  8.000000 35.064631 16000.000 456.3002 18188.2794 159441.328 2702
## 1710   8   1  8.062258 34.928324 15968.871 457.1897 17976.9917 156976.546 2702
## 1711   8   2  8.246211 34.527125 15876.894 459.8383 17364.6109 149887.524 2702
## 1712   8   3  8.544004 33.882559 15727.998 464.1916 16410.1449 139004.427 2702
## 1713   8   4  8.944272 33.025755 15527.864 470.1744 15196.4464 125468.527 2702
## 1714   8   5  9.433981 31.992419 15283.009 477.7072 13814.1768 110487.231 2702
## 1715   8   6 10.000000 30.818524 15000.000 486.7203 12348.6442  95141.745 2702
## 1716   8   7 10.630146 29.537443 14684.927 497.1631 10871.8259  80281.485 2702
## 1717   8   8 11.313708 28.178517 14343.146 509.0100  9439.2653  66496.124 2702
## 1718   8   9 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 1719   8  10 12.806248 25.322558 13596.876 536.9472  6850.2512  43366.470 2702
## 1720   8  11 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 1721   8  12 14.422205 22.402450 12788.897 570.8705  4743.1881  26564.759 2702
## 1722   8  13 15.264338 20.951562 12367.831 590.3059  3880.0116  20323.076 2702
## 1723   8  14 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 1724   8  15 17.000000 18.114443 11500.000 634.8525  2507.6029  11355.958 2702
## 1725   8  16 17.888544 16.741872 11055.728 660.3639  1979.6837   8285.903 2702
## 1726   8  17 18.788294 15.407086 10605.853 688.3750  1542.9268   5943.001 2702
## 1727   8  18 19.697716 14.114293 10151.142 719.2101  1186.2089   4185.625 2702
## 1728   8  19 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 1729   8  20 21.540659 11.668142  9229.670 791.0146   670.1760   1954.927 2702
## 1730   8  21 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 1739   9 -21 22.847319 10.074728  8576.340 851.2727   431.4036   1086.568 2702
## 1740   9 -20 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 1741   9 -19 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 1742   9 -18 20.124612 13.526971  9937.694 734.6578  1044.2043   3531.230 2702
## 1743   9 -17 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 1744   9 -16 18.357560 16.039166 10821.220 674.6748  1740.7208   6979.927 2702
## 1745   9 -15 17.492856 17.346430 11253.572 648.7544  2201.9838   9549.140 2702
## 1746   9 -14 16.643317 18.680636 11678.342 625.1576  2750.1650  12843.708 2702
## 1747   9 -13 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 1748   9 -12 15.000000 21.401752 12500.000 584.0643  4135.5359  22126.929 2702
## 1749   9 -11 14.212670 22.770998 12893.665 566.2319  4981.1541  28356.462 2702
## 1750   9 -10 13.453624 24.131249 13273.188 550.0415  5928.2047  35763.746 2702
## 1751   9  -9 12.727922 25.468641 13636.039 535.4050  6969.4920  44375.873 2702
## 1752   9  -8 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 1753   9  -7 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 1754   9  -6 10.816654 29.163490 14591.673 500.3404 10464.1093  76292.487 2702
## 1755   9  -5 10.295630 30.214124 14852.185 491.5643 11636.2706  87894.930 2702
## 1756   9  -4  9.848858 31.129838 15075.571 484.2804 12726.6576  99044.697 2702
## 1757   9  -3  9.486833 31.881878 15256.584 478.5347 13671.4779 108968.097 2702
## 1758   9  -2  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 1759   9  -1  9.055385 32.789854 15472.307 471.8627 14873.1254 121921.902 2702
## 1760   9   0  9.000000 32.907335 15500.000 471.0196 15033.5626 123678.619 2702
## 1761   9   1  9.055385 32.789854 15472.307 471.8627 14873.1254 121921.902 2702
## 1762   9   2  9.219544 32.442880 15390.228 474.3792 14405.9534 116842.656 2702
## 1763   9   3  9.486833 31.881878 15256.584 478.5347 13671.4779 108968.097 2702
## 1764   9   4  9.848858 31.129838 15075.571 484.2804 12726.6576  99044.697 2702
## 1765   9   5 10.295630 30.214124 14852.185 491.5643 11636.2706  87894.930 2702
## 1766   9   6 10.816654 29.163490 14591.673 500.3404 10464.1093  76292.487 2702
## 1767   9   7 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 1768   9   8 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 1769   9   9 12.727922 25.468641 13636.039 535.4050  6969.4920  44375.873 2702
## 1770   9  10 13.453624 24.131249 13273.188 550.0415  5928.2047  35763.746 2702
## 1771   9  11 14.212670 22.770998 12893.665 566.2319  4981.1541  28356.462 2702
## 1772   9  12 15.000000 21.401752 12500.000 584.0643  4135.5359  22126.929 2702
## 1773   9  13 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 1774   9  14 16.643317 18.680636 11678.342 625.1576  2750.1650  12843.708 2702
## 1775   9  15 17.492856 17.346430 11253.572 648.7544  2201.9838   9549.140 2702
## 1776   9  16 18.357560 16.039166 10821.220 674.6748  1740.7208   6979.927 2702
## 1777   9  17 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 1778   9  18 20.124612 13.526971  9937.694 734.6578  1044.2043   3531.230 2702
## 1779   9  19 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 1780   9  20 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 1781   9  21 22.847319 10.074728  8576.340 851.2727   431.4036   1086.568 2702
## 1791  10 -20 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 1792  10 -19 21.470911 11.756484  9264.545 788.0370   685.5138   2014.808 2702
## 1793  10 -18 20.591260 12.899236  9704.370 752.3213   905.4735   2919.979 2702
## 1794  10 -17 19.723083 14.079044 10138.459 720.1099  1177.3438   4143.969 2702
## 1795  10 -16 18.867962 15.291570 10566.019 690.9702  1508.4816   5766.763 2702
## 1796  10 -15 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 1797  10 -14 17.204651 17.793518 11397.675 640.5521  2376.6721  10572.340 2702
## 1798  10 -13 16.401219 19.069901 11799.390 618.7442  2925.6955  13948.181 2702
## 1799  10 -12 15.620499 20.352555 12189.750 598.9297  3556.6455  18096.706 2702
## 1800  10 -11 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 1801  10 -10 14.142136 22.895737 12928.932 564.6873  5063.4633  28982.931 2702
## 1802  10  -9 13.453624 24.131249 13273.188 550.0415  5928.2047  35763.746 2702
## 1803  10  -8 12.806248 25.322558 13596.876 536.9472  6850.2512  43366.470 2702
## 1804  10  -7 12.206556 26.451729 13896.722 525.3616  7808.1110  51634.508 2702
## 1805  10  -6 11.661904 27.498605 14169.048 515.2643  8772.3464  60306.822 2702
## 1806  10  -5 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 1807  10  -4 10.770330 29.256149 14614.835 499.5475 10564.1670  77266.710 2702
## 1808  10  -3 10.440307 29.920522 14779.847 493.9702 11300.3347  84527.979 2702
## 1809  10  -2 10.198039 30.412982 14900.980 489.9546 11867.5426  90231.839 2702
## 1810  10  -1 10.049876 30.716136 14975.062 487.5308 12225.9757  93883.683 2702
## 1811  10   0 10.000000 30.818524 15000.000 486.7203 12348.6442  95141.745 2702
## 1812  10   1 10.049876 30.716136 14975.062 487.5308 12225.9757  93883.683 2702
## 1813  10   2 10.198039 30.412982 14900.980 489.9546 11867.5426  90231.839 2702
## 1814  10   3 10.440307 29.920522 14779.847 493.9702 11300.3347  84527.979 2702
## 1815  10   4 10.770330 29.256149 14614.835 499.5475 10564.1670  77266.710 2702
## 1816  10   5 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 1817  10   6 11.661904 27.498605 14169.048 515.2643  8772.3464  60306.822 2702
## 1818  10   7 12.206556 26.451729 13896.722 525.3616  7808.1110  51634.508 2702
## 1819  10   8 12.806248 25.322558 13596.876 536.9472  6850.2512  43366.470 2702
## 1820  10   9 13.453624 24.131249 13273.188 550.0415  5928.2047  35763.746 2702
## 1821  10  10 14.142136 22.895737 12928.932 564.6873  5063.4633  28982.931 2702
## 1822  10  11 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 1823  10  12 15.620499 20.352555 12189.750 598.9297  3556.6455  18096.706 2702
## 1824  10  13 16.401219 19.069901 11799.390 618.7442  2925.6955  13948.181 2702
## 1825  10  14 17.204651 17.793518 11397.675 640.5521  2376.6721  10572.340 2702
## 1826  10  15 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 1827  10  16 18.867962 15.291570 10566.019 690.9702  1508.4816   5766.763 2702
## 1828  10  17 19.723083 14.079044 10138.459 720.1099  1177.3438   4143.969 2702
## 1829  10  18 20.591260 12.899236  9704.370 752.3213   905.4735   2919.979 2702
## 1830  10  19 21.470911 11.756484  9264.545 788.0370   685.5138   2014.808 2702
## 1831  10  20 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 1842  11 -20 22.825424 10.100464  8587.288 850.1874   434.7182   1097.714 2702
## 1843  11 -19 21.954498 11.150831  9022.751 809.1550   584.9322   1630.620 2702
## 1844  11 -18 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 1845  11 -17 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 1846  11 -16 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 1847  11 -15 18.601075 15.680259 10699.462 682.3524  1626.4603   6375.829 2702
## 1848  11 -14 17.804494 16.869392 11097.753 657.8633  2025.2660   8541.251 2702
## 1849  11 -13 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 1850  11 -12 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 1851  11 -11 15.556349 20.459804 12221.825 597.3579  3613.1682  18481.178 2702
## 1852  11 -10 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 1853  11  -9 14.212670 22.770998 12893.665 566.2319  4981.1541  28356.462 2702
## 1854  11  -8 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 1855  11  -7 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 1856  11  -6 12.529964 25.839718 13735.018 531.5467  7278.5876  47019.163 2702
## 1857  11  -5 12.083046 26.687346 13958.477 523.0373  8018.6256  53498.958 2702
## 1858  11  -4 11.704700 27.415611 14147.650 516.0436  8693.1580  59582.059 2702
## 1859  11  -3 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 1860  11  -2 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 1861  11  -1 11.045361 28.708178 14477.319 504.2925  9981.6118  71638.471 2702
## 1862  11   0 11.000000 28.798198 14500.000 503.5037 10075.8046  72541.254 2702
## 1863  11   1 11.045361 28.708178 14477.319 504.2925  9981.6118  71638.471 2702
## 1864  11   2 11.180340 28.441142 14409.830 506.6544  9705.6556  69009.982 2702
## 1865  11   3 11.401754 28.005808 14299.123 510.5771  9266.7642  64880.805 2702
## 1866  11   4 11.704700 27.415611 14147.650 516.0436  8693.1580  59582.059 2702
## 1867  11   5 12.083046 26.687346 13958.477 523.0373  8018.6256  53498.958 2702
## 1868  11   6 12.529964 25.839718 13735.018 531.5467  7278.5876  47019.163 2702
## 1869  11   7 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 1870  11   8 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 1871  11   9 14.212670 22.770998 12893.665 566.2319  4981.1541  28356.462 2702
## 1872  11  10 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 1873  11  11 15.556349 20.459804 12221.825 597.3579  3613.1682  18481.178 2702
## 1874  11  12 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 1875  11  13 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 1876  11  14 17.804494 16.869392 11097.753 657.8633  2025.2660   8541.251 2702
## 1877  11  15 18.601075 15.680259 10699.462 682.3524  1626.4603   6375.829 2702
## 1878  11  16 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 1879  11  17 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 1880  11  18 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 1881  11  19 21.954498 11.150831  9022.751 809.1550   584.9322   1630.620 2702
## 1882  11  20 22.825424 10.100464  8587.288 850.1874   434.7182   1097.714 2702
## 1894  12 -19 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 1895  12 -18 21.633308 11.551310  9183.346 795.0048   650.2457   1877.797 2702
## 1896  12 -17 20.808652 12.611893  9595.674 760.8433   846.3006   2668.363 2702
## 1897  12 -16 20.000000 13.697122 10000.000 730.0804  1084.1059   3712.283 2702
## 1898  12 -15 19.209373 14.801458 10395.314 702.3169  1368.0353   5062.229 2702
## 1899  12 -14 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 1900  12 -13 17.691806 17.041120 11154.097 654.5401  2087.7487   8894.394 2702
## 1901  12 -12 16.970563 18.160842 11514.719 634.0410  2526.9212  11472.754 2702
## 1902  12 -11 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 1903  12 -10 15.620499 20.352555 12189.750 598.9297  3556.6455  18096.706 2702
## 1904  12  -9 15.000000 21.401752 12500.000 584.0643  4135.5359  22126.929 2702
## 1905  12  -8 14.422205 22.402450 12788.897 570.8705  4743.1881  26564.759 2702
## 1906  12  -7 13.892444 23.340049 13053.778 559.2867  5364.0036  31299.026 2702
## 1907  12  -6 13.416408 24.198957 13291.796 549.2714  5978.2454  36166.826 2702
## 1908  12  -5 13.000000 24.963004 13500.000 540.8003  6562.5758  40955.402 2702
## 1909  12  -4 12.649111 25.616054 13675.445 533.8623  7091.2119  45412.216 2702
## 1910  12  -3 12.369317 26.142828 13815.342 528.4563  7537.7457  49264.497 2702
## 1911  12  -2 12.165525 26.529886 13917.237 524.5872  7877.5279  52247.479 2702
## 1912  12  -1 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 1913  12   0 12.000000 26.846358 14000.000 521.4860  8162.8147  54785.462 2702
## 1914  12   1 12.041595 26.766656 13979.203 522.2618  8090.3282  54137.757 2702
## 1915  12   2 12.165525 26.529886 13917.237 524.5872  7877.5279  52247.479 2702
## 1916  12   3 12.369317 26.142828 13815.342 528.4563  7537.7457  49264.497 2702
## 1917  12   4 12.649111 25.616054 13675.445 533.8623  7091.2119  45412.216 2702
## 1918  12   5 13.000000 24.963004 13500.000 540.8003  6562.5758  40955.402 2702
## 1919  12   6 13.416408 24.198957 13291.796 549.2714  5978.2454  36166.826 2702
## 1920  12   7 13.892444 23.340049 13053.778 559.2867  5364.0036  31299.026 2702
## 1921  12   8 14.422205 22.402450 12788.897 570.8705  4743.1881  26564.759 2702
## 1922  12   9 15.000000 21.401752 12500.000 584.0643  4135.5359  22126.929 2702
## 1923  12  10 15.620499 20.352555 12189.750 598.9297  3556.6455  18096.706 2702
## 1924  12  11 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 1925  12  12 16.970563 18.160842 11514.719 634.0410  2526.9212  11472.754 2702
## 1926  12  13 17.691806 17.041120 11154.097 654.5401  2087.7487   8894.394 2702
## 1927  12  14 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 1928  12  15 19.209373 14.801458 10395.314 702.3169  1368.0353   5062.229 2702
## 1929  12  16 20.000000 13.697122 10000.000 730.0804  1084.1059   3712.283 2702
## 1930  12  17 20.808652 12.611893  9595.674 760.8433   846.3006   2668.363 2702
## 1931  12  18 21.633308 11.551310  9183.346 795.0048   650.2457   1877.797 2702
## 1932  12  19 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 1945  13 -19 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
## 1946  13 -18 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 1947  13 -17 21.400935 11.845450  9299.533 785.0721   701.1945   2076.491 2702
## 1948  13 -16 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 1949  13 -15 19.849433 13.904131 10075.283 724.6252  1134.0060   3941.842 2702
## 1950  13 -14 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 1951  13 -13 18.384776 15.998851 10807.612 675.5243  1727.6277   6910.014 2702
## 1952  13 -12 17.691806 17.041120 11154.097 654.5401  2087.7487   8894.394 2702
## 1953  13 -11 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 1954  13 -10 16.401219 19.069901 11799.390 618.7442  2925.6955  13948.181 2702
## 1955  13  -9 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 1956  13  -8 15.264338 20.951562 12367.831 590.3059  3880.0116  20323.076 2702
## 1957  13  -7 14.764823 21.806302 12617.588 578.6212  4374.5146  23847.997 2702
## 1958  13  -6 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 1959  13  -5 13.928388 23.275825 13035.806 560.0577  5319.8456  30955.948 2702
## 1960  13  -4 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 1961  13  -3 13.341664 24.335226 13329.168 547.7314  6079.8094  36988.385 2702
## 1962  13  -2 13.152946 24.680990 13423.527 543.8812  6342.6613  39135.790 2702
## 1963  13  -1 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 1964  13   0 13.000000 24.963004 13500.000 540.8003  6562.5758  40955.402 2702
## 1965  13   1 13.038405 24.892040 13480.798 541.5706  6506.7669  40491.675 2702
## 1966  13   2 13.152946 24.680990 13423.527 543.8812  6342.6613  39135.790 2702
## 1967  13   3 13.341664 24.335226 13329.168 547.7314  6079.8094  36988.385 2702
## 1968  13   4 13.601471 23.863206 13199.265 553.1220  5732.8445  34201.012 2702
## 1969  13   5 13.928388 23.275825 13035.806 560.0577  5319.8456  30955.948 2702
## 1970  13   6 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 1971  13   7 14.764823 21.806302 12617.588 578.6212  4374.5146  23847.997 2702
## 1972  13   8 15.264338 20.951562 12367.831 590.3059  3880.0116  20323.076 2702
## 1973  13   9 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 1974  13  10 16.401219 19.069901 11799.390 618.7442  2925.6955  13948.181 2702
## 1975  13  11 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 1976  13  12 17.691806 17.041120 11154.097 654.5401  2087.7487   8894.394 2702
## 1977  13  13 18.384776 15.998851 10807.612 675.5243  1727.6277   6910.014 2702
## 1978  13  14 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 1979  13  15 19.849433 13.904131 10075.283 724.6252  1134.0060   3941.842 2702
## 1980  13  16 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 1981  13  17 21.400935 11.845450  9299.533 785.0721   701.1945   2076.491 2702
## 1982  13  18 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 1983  13  19 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
## 1997  14 -18 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 1998  14 -17 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 1999  14 -16 21.260292 12.025274  9369.854 779.1801   733.6159   2205.483 2702
## 2000  14 -15 20.518285 12.996419  9740.858 749.5032   926.0937   3008.975 2702
## 2001  14 -14 19.798990 13.973831 10100.505 722.8157  1151.1456   4021.479 2702
## 2002  14 -13 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 2003  14 -12 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 2004  14 -11 17.804494 16.869392 11097.753 657.8633  2025.2660   8541.251 2702
## 2005  14 -10 17.204651 17.793518 11397.675 640.5521  2376.6721  10572.340 2702
## 2006  14  -9 16.643317 18.680636 11678.342 625.1576  2750.1650  12843.708 2702
## 2007  14  -8 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 2008  14  -7 15.652476 20.299200 12173.762 599.7163  3528.7475  17907.688 2702
## 2009  14  -6 15.231546 21.007149 12384.227 589.5244  3910.9758  20539.612 2702
## 2010  14  -5 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 2011  14  -4 14.560220 22.161341 12719.890 573.9675  4591.6828  25439.462 2702
## 2012  14  -3 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 2013  14  -2 14.142136 22.895737 12928.932 564.6873  5063.4633  28982.931 2702
## 2014  14  -1 14.035669 23.084666 12982.166 562.3718  5189.8474  29951.473 2702
## 2015  14   0 14.000000 23.148135 13000.000 561.6003  5232.7723  30282.230 2702
## 2016  14   1 14.035669 23.084666 12982.166 562.3718  5189.8474  29951.473 2702
## 2017  14   2 14.142136 22.895737 12928.932 564.6873  5063.4633  28982.931 2702
## 2018  14   3 14.317821 22.585674 12841.089 568.5502  4860.5224  27444.544 2702
## 2019  14   4 14.560220 22.161341 12719.890 573.9675  4591.6828  25439.462 2702
## 2020  14   5 14.866069 21.631676 12566.966 580.9520  4270.2597  23093.218 2702
## 2021  14   6 15.231546 21.007149 12384.227 589.5244  3910.9758  20539.612 2702
## 2022  14   7 15.652476 20.299200 12173.762 599.7163  3528.7475  17907.688 2702
## 2023  14   8 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 2024  14   9 16.643317 18.680636 11678.342 625.1576  2750.1650  12843.708 2702
## 2025  14  10 17.204651 17.793518 11397.675 640.5521  2376.6721  10572.340 2702
## 2026  14  11 17.804494 16.869392 11097.753 657.8633  2025.2660   8541.251 2702
## 2027  14  12 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 2028  14  13 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 2029  14  14 19.798990 13.973831 10100.505 722.8157  1151.1456   4021.479 2702
## 2030  14  15 20.518285 12.996419  9740.858 749.5032   926.0937   3008.975 2702
## 2031  14  16 21.260292 12.025274  9369.854 779.1801   733.6159   2205.483 2702
## 2032  14  17 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 2033  14  18 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 2049  15 -17 22.671568 10.282243  8664.216 842.6387   458.6140   1178.895 2702
## 2050  15 -16 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 2051  15 -15 21.213203 12.085783  9393.398 777.2271   744.7459   2250.209 2702
## 2052  15 -14 20.518285 12.996419  9740.858 749.5032   926.0937   3008.975 2702
## 2053  15 -13 19.849433 13.904131 10075.283 724.6252  1134.0060   3941.842 2702
## 2054  15 -12 19.209373 14.801458 10395.314 702.3169  1368.0353   5062.229 2702
## 2055  15 -11 18.601075 15.680259 10699.462 682.3524  1626.4603   6375.829 2702
## 2056  15 -10 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 2057  15  -9 17.492856 17.346430 11253.572 648.7544  2201.9838   9549.140 2702
## 2058  15  -8 17.000000 18.114443 11500.000 634.8525  2507.6029  11355.958 2702
## 2059  15  -7 16.552945 18.825474 11723.527 622.7481  2814.6314  13246.692 2702
## 2060  15  -6 16.155494 19.469104 11922.253 612.3678  3113.3051  15153.315 2702
## 2061  15  -5 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 2062  15  -4 15.524175 20.513700 12237.913 596.5727  3641.7977  18676.687 2702
## 2063  15  -3 15.297059 20.896168 12351.471 591.0878  3849.3178  20108.998 2702
## 2064  15  -2 15.132746 21.175076 12433.627 587.1822  4005.5184  21204.290 2702
## 2065  15  -1 15.033296 21.344782 12483.352 584.8432  4102.5982  21892.266 2702
## 2066  15   0 15.000000 21.401752 12500.000 584.0643  4135.5359  22126.929 2702
## 2067  15   1 15.033296 21.344782 12483.352 584.8432  4102.5982  21892.266 2702
## 2068  15   2 15.132746 21.175076 12433.627 587.1822  4005.5184  21204.290 2702
## 2069  15   3 15.297059 20.896168 12351.471 591.0878  3849.3178  20108.998 2702
## 2070  15   4 15.524175 20.513700 12237.913 596.5727  3641.7977  18676.687 2702
## 2071  15   5 15.811388 20.035086 12094.306 603.6563  3392.7933  16993.726 2702
## 2072  15   6 16.155494 19.469104 11922.253 612.3678  3113.3051  15153.315 2702
## 2073  15   7 16.552945 18.825474 11723.527 622.7481  2814.6314  13246.692 2702
## 2074  15   8 17.000000 18.114443 11500.000 634.8525  2507.6029  11355.958 2702
## 2075  15   9 17.492856 17.346430 11253.572 648.7544  2201.9838   9549.140 2702
## 2076  15  10 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 2077  15  11 18.601075 15.680259 10699.462 682.3524  1626.4603   6375.829 2702
## 2078  15  12 19.209373 14.801458 10395.314 702.3169  1368.0353   5062.229 2702
## 2079  15  13 19.849433 13.904131 10075.283 724.6252  1134.0060   3941.842 2702
## 2080  15  14 20.518285 12.996419  9740.858 749.5032   926.0937   3008.975 2702
## 2081  15  15 21.213203 12.085783  9393.398 777.2271   744.7459   2250.209 2702
## 2082  15  16 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 2083  15  17 22.671568 10.282243  8664.216 842.6387   458.6140   1178.895 2702
## 2101  16 -16 22.627417 10.334706  8686.292 840.4972   465.6698   1203.140 2702
## 2102  16 -15 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 2103  16 -14 21.260292 12.025274  9369.854 779.1801   733.6159   2205.483 2702
## 2104  16 -13 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 2105  16 -12 20.000000 13.697122 10000.000 730.0804  1084.1059   3712.283 2702
## 2106  16 -11 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 2107  16 -10 18.867962 15.291570 10566.019 690.9702  1508.4816   5766.763 2702
## 2108  16  -9 18.357560 16.039166 10821.220 674.6748  1740.7208   6979.927 2702
## 2109  16  -8 17.888544 16.741872 11055.728 660.3639  1979.6837   8285.903 2702
## 2110  16  -7 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 2111  16  -6 17.088007 17.976082 11455.996 637.2911  2450.5801  11012.957 2702
## 2112  16  -5 16.763055 18.489595 11618.473 628.3790  2666.6497  12326.318 2702
## 2113  16  -4 16.492423 18.922786 11753.789 621.1447  2858.5053  13522.721 2702
## 2114  16  -3 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 2115  16  -2 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 2116  16  -1 16.031220 19.672574 11984.390 609.1928  3211.9396  15796.780 2702
## 2117  16   0 16.000000 19.723855 12000.000 608.4003  3237.1230  15962.136 2702
## 2118  16   1 16.031220 19.672574 11984.390 609.1928  3211.9396  15796.780 2702
## 2119  16   2 16.124515 19.519726 11937.742 611.5733  3137.6530  15311.531 2702
## 2120  16   3 16.278821 19.268232 11860.590 615.5515  3017.9318  14537.553 2702
## 2121  16   4 16.492423 18.922786 11753.789 621.1447  2858.5053  13522.721 2702
## 2122  16   5 16.763055 18.489595 11618.473 628.3790  2666.6497  12326.318 2702
## 2123  16   6 17.088007 17.976082 11455.996 637.2911  2450.5801  11012.957 2702
## 2124  16   7 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 2125  16   8 17.888544 16.741872 11055.728 660.3639  1979.6837   8285.903 2702
## 2126  16   9 18.357560 16.039166 10821.220 674.6748  1740.7208   6979.927 2702
## 2127  16  10 18.867962 15.291570 10566.019 690.9702  1508.4816   5766.763 2702
## 2128  16  11 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 2129  16  12 20.000000 13.697122 10000.000 730.0804  1084.1059   3712.283 2702
## 2130  16  13 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 2131  16  14 21.260292 12.025274  9369.854 779.1801   733.6159   2205.483 2702
## 2132  16  15 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 2133  16  16 22.627417 10.334706  8686.292 840.4972   465.6698   1203.140 2702
## 2153  17 -15 22.671568 10.282243  8664.216 842.6387   458.6140   1178.895 2702
## 2154  17 -14 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 2155  17 -13 21.400935 11.845450  9299.533 785.0721   701.1945   2076.491 2702
## 2156  17 -12 20.808652 12.611893  9595.674 760.8433   846.3006   2668.363 2702
## 2157  17 -11 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 2158  17 -10 19.723083 14.079044 10138.459 720.1099  1177.3438   4143.969 2702
## 2159  17  -9 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 2160  17  -8 18.788294 15.407086 10605.853 688.3750  1542.9268   5943.001 2702
## 2161  17  -7 18.384776 15.998851 10807.612 675.5243  1727.6277   6910.014 2702
## 2162  17  -6 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 2163  17  -5 17.720045 16.998004 11139.977 655.3697  2071.9420   8804.720 2702
## 2164  17  -4 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 2165  17  -3 17.262677 17.703046 11368.662 642.1868  2340.6032  10358.952 2702
## 2166  17  -2 17.117243 17.930237 11441.379 638.1053  2431.8785  10901.039 2702
## 2167  17  -1 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 2168  17   0 17.000000 18.114443 11500.000 634.8525  2507.6029  11355.958 2702
## 2169  17   1 17.029386 18.068184 11485.307 635.6647  2488.4409  11240.402 2702
## 2170  17   2 17.117243 17.930237 11441.379 638.1053  2431.8785  10901.039 2702
## 2171  17   3 17.262677 17.703046 11368.662 642.1868  2340.6032  10358.952 2702
## 2172  17   4 17.464249 17.390553 11267.875 647.9308  2218.8295   9646.668 2702
## 2173  17   5 17.720045 16.998004 11139.977 655.3697  2071.9420   8804.720 2702
## 2174  17   6 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 2175  17   7 18.384776 15.998851 10807.612 675.5243  1727.6277   6910.014 2702
## 2176  17   8 18.788294 15.407086 10605.853 688.3750  1542.9268   5943.001 2702
## 2177  17   9 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 2178  17  10 19.723083 14.079044 10138.459 720.1099  1177.3438   4143.969 2702
## 2179  17  11 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 2180  17  12 20.808652 12.611893  9595.674 760.8433   846.3006   2668.363 2702
## 2181  17  13 21.400935 11.845450  9299.533 785.0721   701.1945   2076.491 2702
## 2182  17  14 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 2183  17  15 22.671568 10.282243  8664.216 842.6387   458.6140   1178.895 2702
## 2205  18 -14 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 2206  18 -13 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 2207  18 -12 21.633308 11.551310  9183.346 795.0048   650.2457   1877.797 2702
## 2208  18 -11 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 2209  18 -10 20.591260 12.899236  9704.370 752.3213   905.4735   2919.979 2702
## 2210  18  -9 20.124612 13.526971  9937.694 734.6578  1044.2043   3531.230 2702
## 2211  18  -8 19.697716 14.114293 10151.142 719.2101  1186.2089   4185.625 2702
## 2212  18  -7 19.313208 14.653981 10343.396 705.8421  1327.5493   4863.470 2702
## 2213  18  -6 18.973666 15.138974 10513.167 694.4438  1463.7709   5539.997 2702
## 2214  18  -5 18.681542 15.562555 10659.229 684.9280  1590.1076   6186.534 2702
## 2215  18  -4 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 2216  18  -3 18.248288 16.201537 10875.856 671.2854  1794.1240   7266.892 2702
## 2217  18  -2 18.110770 16.407042 10944.615 667.0682  1863.2650   7642.667 2702
## 2218  18  -1 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 2219  18   0 18.000000 16.573517 11000.000 663.7095  1920.5598   7957.608 2702
## 2220  18   1 18.027756 16.531723 10986.122 664.5479  1906.0671   7877.643 2702
## 2221  18   2 18.110770 16.407042 10944.615 667.0682  1863.2650   7642.667 2702
## 2222  18   3 18.248288 16.201537 10875.856 671.2854  1794.1240   7266.892 2702
## 2223  18   4 18.439089 15.918551 10780.456 677.2259  1701.7447   6772.327 2702
## 2224  18   5 18.681542 15.562555 10659.229 684.9280  1590.1076   6186.534 2702
## 2225  18   6 18.973666 15.138974 10513.167 694.4438  1463.7709   5539.997 2702
## 2226  18   7 19.313208 14.653981 10343.396 705.8421  1327.5493   4863.470 2702
## 2227  18   8 19.697716 14.114293 10151.142 719.2101  1186.2089   4185.625 2702
## 2228  18   9 20.124612 13.526971  9937.694 734.6578  1044.2043   3531.230 2702
## 2229  18  10 20.591260 12.899236  9704.370 752.3213   905.4735   2919.979 2702
## 2230  18  11 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 2231  18  12 21.633308 11.551310  9183.346 795.0048   650.2457   1877.797 2702
## 2232  18  13 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 2233  18  14 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 2257  19 -13 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
## 2258  19 -12 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 2259  19 -11 21.954498 11.150831  9022.751 809.1550   584.9322   1630.620 2702
## 2260  19 -10 21.470911 11.756484  9264.545 788.0370   685.5138   2014.808 2702
## 2261  19  -9 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 2262  19  -8 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 2263  19  -7 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 2264  19  -6 19.924859 13.800237 10037.571 727.3477  1108.7749   3825.339 2702
## 2265  19  -5 19.646883 14.185060 10176.559 717.4138  1204.1410   4270.203 2702
## 2266  19  -4 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 2267  19  -3 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 2268  19  -2 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 2269  19  -1 19.026298 15.063279 10486.851 696.1865  1441.9240   5430.026 2702
## 2270  19   0 19.000000 15.101077 10500.000 695.3147  1452.8056   5484.732 2702
## 2271  19   1 19.026298 15.063279 10486.851 696.1865  1441.9240   5430.026 2702
## 2272  19   2 19.104973 14.950482 10447.513 698.8078  1409.7735   5269.198 2702
## 2273  19   3 19.235384 14.764445 10382.308 703.1966  1357.7980   5011.783 2702
## 2274  19   4 19.416488 14.508024 10291.756 709.3837  1288.2752   4672.582 2702
## 2275  19   5 19.646883 14.185060 10176.559 717.4138  1204.1410   4270.203 2702
## 2276  19   6 19.924859 13.800237 10037.571 727.3477  1108.7749   3825.339 2702
## 2277  19   7 20.248457 13.358921  9875.772 739.2642  1005.7683   3358.995 2702
## 2278  19   8 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 2279  19   9 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 2280  19  10 21.470911 11.756484  9264.545 788.0370   685.5138   2014.808 2702
## 2281  19  11 21.954498 11.150831  9022.751 809.1550   584.9322   1630.620 2702
## 2282  19  12 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 2283  19  13 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
## 2310  20 -11 22.825424 10.100464  8587.288 850.1874   434.7182   1097.714 2702
## 2311  20 -10 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 2312  20  -9 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 2313  20  -8 21.540659 11.668142  9229.670 791.0146   670.1760   1954.927 2702
## 2314  20  -7 21.189620 12.116145  9405.190 776.2527   750.3729   2272.907 2702
## 2315  20  -6 20.880613 12.517490  9559.693 763.7069   827.4381   2589.362 2702
## 2316  20  -5 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 2317  20  -4 20.396078 13.159981  9801.961 744.8310   961.5005   3163.332 2702
## 2318  20  -3 20.223748 13.392365  9888.126 738.3405  1013.3410   3392.758 2702
## 2319  20  -2 20.099751 13.560832  9950.124 733.7400  1052.0655   3566.721 2702
## 2320  20  -1 20.024984 13.662922  9987.508 730.9936  1076.0056   3675.345 2702
## 2321  20   0 20.000000 13.697122 10000.000 730.0804  1084.1059   3712.283 2702
## 2322  20   1 20.024984 13.662922  9987.508 730.9936  1076.0056   3675.345 2702
## 2323  20   2 20.099751 13.560832  9950.124 733.7400  1052.0655   3566.721 2702
## 2324  20   3 20.223748 13.392365  9888.126 738.3405  1013.3410   3392.758 2702
## 2325  20   4 20.396078 13.159981  9801.961 744.8310   961.5005   3163.332 2702
## 2326  20   5 20.615528 12.866999  9692.236 753.2631   898.7017   2890.899 2702
## 2327  20   6 20.880613 12.517490  9559.693 763.7069   827.4381   2589.362 2702
## 2328  20   7 21.189620 12.116145  9405.190 776.2527   750.3729   2272.907 2702
## 2329  20   8 21.540659 11.668142  9229.670 791.0146   670.1760   1954.927 2702
## 2330  20   9 21.931712 11.179009  9034.144 808.1346   589.3778   1647.165 2702
## 2331  20  10 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 2332  20  11 22.825424 10.100464  8587.288 850.1874   434.7182   1097.714 2702
## 2363  21  -9 22.847319 10.074728  8576.340 851.2727   431.4036   1086.568 2702
## 2364  21  -8 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 2365  21  -7 22.135944 10.927718  8932.028 817.3736   550.5189   1503.979 2702
## 2366  21  -6 21.840330 11.292374  9079.835 804.0679   607.4905   1715.002 2702
## 2367  21  -5 21.587033 11.609589  9206.483 793.0068   660.1375   1915.981 2702
## 2368  21  -4 21.377558 11.875245  9311.221 784.0867   706.4989   2097.462 2702
## 2369  21  -3 21.213203 12.085783  9393.398 777.2271   744.7459   2250.209 2702
## 2370  21  -2 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 2371  21  -1 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 2372  21   0 21.000000 12.361652  9500.000 768.5057   796.9175   2462.804 2702
## 2373  21   1 21.023796 12.330708  9488.102 769.4694   790.9477   2438.236 2702
## 2374  21   2 21.095023 12.238315  9452.488 772.3685   773.3011   2365.976 2702
## 2375  21   3 21.213203 12.085783  9393.398 777.2271   744.7459   2250.209 2702
## 2376  21   4 21.377558 11.875245  9311.221 784.0867   706.4989   2097.462 2702
## 2377  21   5 21.587033 11.609589  9206.483 793.0068   660.1375   1915.981 2702
## 2378  21   6 21.840330 11.292374  9079.835 804.0679   607.4905   1715.002 2702
## 2379  21   7 22.135944 10.927718  8932.028 817.3736   550.5189   1503.979 2702
## 2380  21   8 22.472205 10.520197  8763.897 833.0545   491.1967   1291.872 2702
## 2381  21   9 22.847319 10.074728  8576.340 851.2727   431.4036   1086.568 2702
## 2417  22  -6 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 2418  22  -5 22.561028 10.413844  8719.486 837.2975   476.4496   1240.418 2702
## 2419  22  -4 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 2420  22  -3 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 2421  22  -2 22.090722 10.983114  8954.639 815.3097   558.9336   1534.708 2702
## 2422  22  -1 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 2423  22   0 22.000000 11.094668  9000.000 811.2004   576.1383   1598.016 2702
## 2424  22   1 22.022716 11.066684  8988.642 812.2255   571.7897   1581.954 2702
## 2425  22   2 22.090722 10.983114  8954.639 815.3097   558.9336   1534.708 2702
## 2426  22   3 22.203603 10.845098  8898.198 820.4811   538.1263   1459.008 2702
## 2427  22   4 22.360680 10.654498  8819.660 827.7875   510.2498   1359.114 2702
## 2428  22   5 22.561028 10.413844  8719.486 837.2975   476.4496   1240.418 2702
## 2429  22   6 22.803509 10.126259  8598.246 849.1039   438.0572   1108.970 2702
## 2473  23  -1 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
## 2474  23   0 23.000000  9.896170  8500.000 858.9181   408.8700   1011.562 2702
## 2475  23   1 23.021729  9.870889  8489.136 860.0174   405.7444   1001.264 2702
##                n
## 127     75.48581
## 128     76.16466
## 129     75.48581
## 173     82.54485
## 174     91.04522
## 175     98.62431
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## 226    144.16751
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## 235    133.19179
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## 237    107.76348
## 238     94.34134
## 239     81.08398
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## 271     98.62431
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## 283    229.41435
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## 285    206.54363
## 286    190.89250
## 287    173.35197
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## 290    116.68903
## 291     98.62431
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## 323    164.46611
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## 432    609.77486
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## 436    609.77486
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## 1857  2452.94192
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## 1860  3065.01799
## 1861  3166.92754
## 1862  3201.82087
## 1863  3166.92754
## 1864  3065.01799
## 1865  2903.93441
## 1866  2695.32522
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## 1910  2282.19317
## 1911  2402.65978
## 1912  2478.55085
## 1913  2504.47825
## 1914  2478.55085
## 1915  2402.65978
## 1916  2282.19317
## 1917  2125.25582
## 1918  1941.58941
## 1919  1741.43272
## 1920  1534.52714
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## 1923   950.13362
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## 1927   402.05068
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## 1929   237.58609
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## 1960  1658.32327
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## 1962  1865.89607
## 1963  1922.33969
## 1964  1941.58941
## 1965  1922.33969
## 1966  1865.89607
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## 1983    75.48581
## 1997    82.54485
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## 1999   150.64365
## 2000   197.69761
## 2001   254.81363
## 2002   322.78369
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## 2004   492.56826
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## 2009  1061.45923
## 2010  1176.07226
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## 2012  1367.83628
## 2013  1434.69511
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## 2016  1476.55974
## 2017  1434.69511
## 2018  1367.83628
## 2019  1279.98397
## 2020  1176.07226
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## 2380    94.34134
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## 2417    82.54485
## 2418    91.04522
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## 2420   104.93868
## 2421   109.68761
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## 2423   113.63669
## 2424   112.63664
## 2425   109.68761
## 2426   104.93868
## 2427    98.62431
## 2428    91.04522
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## 2473    75.48581
## 2474    76.16466
## 2475    75.48581
nrow(dfsc1$n)
## NULL
sum(dfsc1$n)
## [1] 4222601

I created an x, y coordinate system with points that represented discrete area sizes. The original monocentric model has 1 square mile by 1 square mile squares, the m-Monocentric model has 0.5 square mile by 0.5 square mile squares, and both the amenity model and the rail distance model have 0.2 square mile by 0.2 square mile squares. The monocentric models’ results weren’t too interesting, so they didn’t need finely tuned points. The other models did have detailed information and empirically the 0.2 x 0.2 size squares housed at least 1 household, any smaller and their would-be fractional households. The light rail system ran right through the city center (point (0,0)) along the y axis (north- south). A horizontal line would produce similar results. Shifting the line horizontally might produce a slight variation, but probably not enough to go through the trouble of modeling. Since each point represents a specific area, I can calculate the actual values for various variables rather than their rates. Then, I can simply sum up all the points to calculate the total values for these variables on the city basis. Thus, using these discrete points, I can fully characterize each modeled city numerically. I modeled all these systems and produced the various outputs in R.

#modfied parameters

#budget 
y <- 40000
#distance in the x axis
u <- c(0,0,0,0,0,1,1,1,1,1,-1,-1,-1,-1,-1,2,2,2,2,2,-2,-2,-2,-2,-2)
#distance in the y axis
v <- c(0,1,-1,2,-2,0,1,-1,2,-2,0,1,-1,2,-2,0,1,-1,2,-2,0,1,-1,2,-2)
#distance from center
x <- sqrt(u^2+v^2)

#transportation cost 50 cents a mile by 320 days
t <- 1000
#housing price per sqft vector
p <- c(0:25)
#housing consumption (sqft) by mile vector
q <- c(0:25)
#general good
g <- c(0:25)
#utility level
V <- 6000
#alpha for Cobb Douglas
al <- .5
#beta for development cobb-douglas
bt <- 4/3
#capital 
c0 <- 0

#amentiy
ad <- 0.16
ng <- 1
d <- 0

#gamma for amenity
gm <- 0.5

#z distance to amentiy
z <- sqrt((u-d)^2)

#land rent/acre
r <- c(0:25)
#Housing floor space / acre
s <- c(0:25)
#ag rent
ag <- 1000
#monocentric with modified V

u <- c(1:50)
v <- c(1:50)

#new u,v

i <- 0
j <- 0
ii <- 1

while(i < 20){
  
  j <- 0
  while(j < 20){
  u[ii] <- i/2 - 3
  v[ii] <- j/2 - 3
  j <- j+1
  ii <- ii+1
  }
  
  i <- i +1
  
  }


#finding x for various u,v
x <- sqrt(u^2+v^2)

#finding the price for various x
p <- (al^al*(1-al)^(1-al)*(y-t*x)/V)^(1/al)

#optimal q
q <- al*(y-t*x)/p

#optimal g
g <- (1-al)*(y-t*x)


#theta some funciton of beta
ph <- ((bt-1)^((bt-1)/bt))/bt

#optimal r

r <- (ph*p)^(bt/(bt-1))

r1 <- ((ph*al)^al * (1-al)^(1-al) * (y-t*x)/V)^(bt/(al*(bt-1)))

#optimal s
s <- (p/bt)^(1/(bt-1))

s1 <- (bt-1)^(-1/bt) * (r)^(1/bt)

#Utility Value

U <- q^al*g^(1-al)


#population n s(floorspaceperacre/ floorspace per household * (size of square (sqmi)) * acres/sqmi * fraction of housing in area)
n <- s/q * (.5*.5) * 640 * .25 

nn <- s/q



dfscm <- data.frame(u,v,x,p,g,q,s,r,U,n,nn)

#delete values where ag rent exceeds land rent
dfscm1 <- dfscm[(dfscm$r > ag),]

dfscm1
##        u    v         x         p        g        q        s        r    U
## 45  -2.0 -1.0 2.2360680  9.903573 18881.97 1906.581 409.7883 1014.592 6000
## 46  -2.0 -0.5 2.0615528  9.995318 18969.22 1897.811 421.2827 1052.714 6000
## 47  -2.0  0.0 2.0000000 10.027778 19000.00 1894.737 425.4004 1066.455 6000
## 48  -2.0  0.5 2.0615528  9.995318 18969.22 1897.811 421.2827 1052.714 6000
## 49  -2.0  1.0 2.2360680  9.903573 18881.97 1906.581 409.7883 1014.592 6000
## 64  -1.5 -1.5 2.1213203  9.963850 18939.34 1900.805 417.3163 1039.519 6000
## 65  -1.5 -1.0 1.8027756 10.132139 19098.61 1884.954 438.8207 1111.548 6000
## 66  -1.5 -0.5 1.5811388 10.250062 19209.43 1874.079 454.3214 1164.206 6000
## 67  -1.5  0.0 1.5000000 10.293403 19250.00 1870.130 460.1090 1184.022 6000
## 68  -1.5  0.5 1.5811388 10.250062 19209.43 1874.079 454.3214 1164.206 6000
## 69  -1.5  1.0 1.8027756 10.132139 19098.61 1884.954 438.8207 1111.548 6000
## 70  -1.5  1.5 2.1213203  9.963850 18939.34 1900.805 417.3163 1039.519 6000
## 83  -1.0 -2.0 2.2360680  9.903573 18881.97 1906.581 409.7883 1014.592 6000
## 84  -1.0 -1.5 1.8027756 10.132139 19098.61 1884.954 438.8207 1111.548 6000
## 85  -1.0 -1.0 1.4142136 10.339326 19292.89 1865.972 466.2947 1205.293 6000
## 86  -1.0 -0.5 1.1180340 10.498662 19440.98 1851.758 488.1863 1281.326 6000
## 87  -1.0  0.0 1.0000000 10.562500 19500.00 1846.154 497.1460 1312.776 6000
## 88  -1.0  0.5 1.1180340 10.498662 19440.98 1851.758 488.1863 1281.326 6000
## 89  -1.0  1.0 1.4142136 10.339326 19292.89 1865.972 466.2947 1205.293 6000
## 90  -1.0  1.5 1.8027756 10.132139 19098.61 1884.954 438.8207 1111.548 6000
## 91  -1.0  2.0 2.2360680  9.903573 18881.97 1906.581 409.7883 1014.592 6000
## 103 -0.5 -2.0 2.0615528  9.995318 18969.22 1897.811 421.2827 1052.714 6000
## 104 -0.5 -1.5 1.5811388 10.250062 19209.43 1874.079 454.3214 1164.206 6000
## 105 -0.5 -1.0 1.1180340 10.498662 19440.98 1851.758 488.1863 1281.326 6000
## 106 -0.5 -0.5 0.7071068 10.721746 19646.45 1832.392 519.9725 1393.753 6000
## 107 -0.5  0.0 0.5000000 10.835069 19750.00 1822.785 536.6349 1453.619 6000
## 108 -0.5  0.5 0.7071068 10.721746 19646.45 1832.392 519.9725 1393.753 6000
## 109 -0.5  1.0 1.1180340 10.498662 19440.98 1851.758 488.1863 1281.326 6000
## 110 -0.5  1.5 1.5811388 10.250062 19209.43 1874.079 454.3214 1164.206 6000
## 111 -0.5  2.0 2.0615528  9.995318 18969.22 1897.811 421.2827 1052.714 6000
## 123  0.0 -2.0 2.0000000 10.027778 19000.00 1894.737 425.4004 1066.455 6000
## 124  0.0 -1.5 1.5000000 10.293403 19250.00 1870.130 460.1090 1184.022 6000
## 125  0.0 -1.0 1.0000000 10.562500 19500.00 1846.154 497.1460 1312.776 6000
## 126  0.0 -0.5 0.5000000 10.835069 19750.00 1822.785 536.6349 1453.619 6000
## 127  0.0  0.0 0.0000000 11.111111 20000.00 1800.000 578.7037 1607.510 6000
## 128  0.0  0.5 0.5000000 10.835069 19750.00 1822.785 536.6349 1453.619 6000
## 129  0.0  1.0 1.0000000 10.562500 19500.00 1846.154 497.1460 1312.776 6000
## 130  0.0  1.5 1.5000000 10.293403 19250.00 1870.130 460.1090 1184.022 6000
## 131  0.0  2.0 2.0000000 10.027778 19000.00 1894.737 425.4004 1066.455 6000
## 143  0.5 -2.0 2.0615528  9.995318 18969.22 1897.811 421.2827 1052.714 6000
## 144  0.5 -1.5 1.5811388 10.250062 19209.43 1874.079 454.3214 1164.206 6000
## 145  0.5 -1.0 1.1180340 10.498662 19440.98 1851.758 488.1863 1281.326 6000
## 146  0.5 -0.5 0.7071068 10.721746 19646.45 1832.392 519.9725 1393.753 6000
## 147  0.5  0.0 0.5000000 10.835069 19750.00 1822.785 536.6349 1453.619 6000
## 148  0.5  0.5 0.7071068 10.721746 19646.45 1832.392 519.9725 1393.753 6000
## 149  0.5  1.0 1.1180340 10.498662 19440.98 1851.758 488.1863 1281.326 6000
## 150  0.5  1.5 1.5811388 10.250062 19209.43 1874.079 454.3214 1164.206 6000
## 151  0.5  2.0 2.0615528  9.995318 18969.22 1897.811 421.2827 1052.714 6000
## 163  1.0 -2.0 2.2360680  9.903573 18881.97 1906.581 409.7883 1014.592 6000
## 164  1.0 -1.5 1.8027756 10.132139 19098.61 1884.954 438.8207 1111.548 6000
## 165  1.0 -1.0 1.4142136 10.339326 19292.89 1865.972 466.2947 1205.293 6000
## 166  1.0 -0.5 1.1180340 10.498662 19440.98 1851.758 488.1863 1281.326 6000
## 167  1.0  0.0 1.0000000 10.562500 19500.00 1846.154 497.1460 1312.776 6000
## 168  1.0  0.5 1.1180340 10.498662 19440.98 1851.758 488.1863 1281.326 6000
## 169  1.0  1.0 1.4142136 10.339326 19292.89 1865.972 466.2947 1205.293 6000
## 170  1.0  1.5 1.8027756 10.132139 19098.61 1884.954 438.8207 1111.548 6000
## 171  1.0  2.0 2.2360680  9.903573 18881.97 1906.581 409.7883 1014.592 6000
## 184  1.5 -1.5 2.1213203  9.963850 18939.34 1900.805 417.3163 1039.519 6000
## 185  1.5 -1.0 1.8027756 10.132139 19098.61 1884.954 438.8207 1111.548 6000
## 186  1.5 -0.5 1.5811388 10.250062 19209.43 1874.079 454.3214 1164.206 6000
## 187  1.5  0.0 1.5000000 10.293403 19250.00 1870.130 460.1090 1184.022 6000
## 188  1.5  0.5 1.5811388 10.250062 19209.43 1874.079 454.3214 1164.206 6000
## 189  1.5  1.0 1.8027756 10.132139 19098.61 1884.954 438.8207 1111.548 6000
## 190  1.5  1.5 2.1213203  9.963850 18939.34 1900.805 417.3163 1039.519 6000
## 205  2.0 -1.0 2.2360680  9.903573 18881.97 1906.581 409.7883 1014.592 6000
## 206  2.0 -0.5 2.0615528  9.995318 18969.22 1897.811 421.2827 1052.714 6000
## 207  2.0  0.0 2.0000000 10.027778 19000.00 1894.737 425.4004 1066.455 6000
## 208  2.0  0.5 2.0615528  9.995318 18969.22 1897.811 421.2827 1052.714 6000
## 209  2.0  1.0 2.2360680  9.903573 18881.97 1906.581 409.7883 1014.592 6000
##             n        nn
## 45   8.597343 0.2149336
## 46   8.879340 0.2219835
## 47   8.980675 0.2245169
## 48   8.879340 0.2219835
## 49   8.597343 0.2149336
## 64   8.781883 0.2195471
## 65   9.312075 0.2328019
## 66   9.696951 0.2424238
## 67   9.841219 0.2460305
## 68   9.696951 0.2424238
## 69   9.312075 0.2328019
## 70   8.781883 0.2195471
## 83   8.597343 0.2149336
## 84   9.312075 0.2328019
## 85   9.995748 0.2498937
## 86  10.545358 0.2636339
## 87  10.771497 0.2692874
## 88  10.545358 0.2636339
## 89   9.995748 0.2498937
## 90   9.312075 0.2328019
## 91   8.597343 0.2149336
## 103  8.879340 0.2219835
## 104  9.696951 0.2424238
## 105 10.545358 0.2636339
## 106 11.350680 0.2837670
## 107 11.776154 0.2944039
## 108 11.350680 0.2837670
## 109 10.545358 0.2636339
## 110  9.696951 0.2424238
## 111  8.879340 0.2219835
## 123  8.980675 0.2245169
## 124  9.841219 0.2460305
## 125 10.771497 0.2692874
## 126 11.776154 0.2944039
## 127 12.860082 0.3215021
## 128 11.776154 0.2944039
## 129 10.771497 0.2692874
## 130  9.841219 0.2460305
## 131  8.980675 0.2245169
## 143  8.879340 0.2219835
## 144  9.696951 0.2424238
## 145 10.545358 0.2636339
## 146 11.350680 0.2837670
## 147 11.776154 0.2944039
## 148 11.350680 0.2837670
## 149 10.545358 0.2636339
## 150  9.696951 0.2424238
## 151  8.879340 0.2219835
## 163  8.597343 0.2149336
## 164  9.312075 0.2328019
## 165  9.995748 0.2498937
## 166 10.545358 0.2636339
## 167 10.771497 0.2692874
## 168 10.545358 0.2636339
## 169  9.995748 0.2498937
## 170  9.312075 0.2328019
## 171  8.597343 0.2149336
## 184  8.781883 0.2195471
## 185  9.312075 0.2328019
## 186  9.696951 0.2424238
## 187  9.841219 0.2460305
## 188  9.696951 0.2424238
## 189  9.312075 0.2328019
## 190  8.781883 0.2195471
## 205  8.597343 0.2149336
## 206  8.879340 0.2219835
## 207  8.980675 0.2245169
## 208  8.879340 0.2219835
## 209  8.597343 0.2149336
nrow(dfscm1)
## [1] 69
sum(dfscm1$n)
## [1] 675.1
#Amenitiy City Model


#new u,v

i <- 0
j <- 0
ii <- 1

while(i < 61){
  
  j <- 0
  while(j < 61){
  u[ii] <- i/5 - 6
  v[ii] <- j/5 - 6
  j <- j+1
  ii <- ii+1
  }
  
  i <- i +1
  
  }


#finding x for various u,v
x <- sqrt(u^2+v^2)

#finding distance to rail
z <- sqrt((u-d)^2)


#amentiy distribution
am <- 1 + ad*(exp(-ng*z))

#finding the price for various u,v
p <- (al^al*(1-al)^(1-al)*am^gm*(y-t*x)/V)^(1/al)


#optimal q
q <- al*(y-t*x)/p

#optimal g
g <- (1-al)*(y-t*x)

#optimal s
s <- (p/bt)^(1/(bt-1))

#optimal r
r <- p*s - s^(bt)

#population n s(floorspaceperacre/ floorspace per household * (size of square (sqmi)) * acres/sqmi * fraction of housing in area)
n <- s/q * (.2*.2) * 640 * .25 

nn <- s/q

dfuva <- data.frame(u,v,x,z,p,g,q,s,r,am,n,nn)
dfuva1 <- dfuva[(dfuva$r > ag),]
dfuva1[(dfuva1$v > 4),]
##         u   v        x   z         p        g        q        s        r
## 1821 -0.2 4.2 4.204759 0.2 10.063511 17897.62 1778.467 429.9642 1081.737
## 1822 -0.2 4.4 4.404543 0.2  9.951489 17797.73 1788.449 415.7651 1034.370
## 1882  0.0 4.2 4.200000 0.0 10.324322 17900.00 1733.770 464.2677 1198.312
## 1883  0.0 4.4 4.400000 0.0 10.209289 17800.00 1743.510 448.9214 1145.792
## 1884  0.0 4.6 4.600000 0.0 10.094900 17700.00 1753.361 434.0001 1095.297
## 1885  0.0 4.8 4.800000 0.0  9.981156 17600.00 1763.323 419.4945 1046.760
## 1886  0.0 5.0 5.000000 0.0  9.868056 17500.00 1773.399 405.3951 1000.115
## 1943  0.2 4.2 4.204759 0.2 10.063511 17897.62 1778.467 429.9642 1081.737
## 1944  0.2 4.4 4.404543 0.2  9.951489 17797.73 1788.449 415.7651 1034.370
##            am        n        nn
## 1821 1.130997 1.547271 0.2417612
## 1822 1.130997 1.487824 0.2324725
## 1882 1.160000 1.713787 0.2677793
## 1883 1.160000 1.647881 0.2574813
## 1884 1.160000 1.584158 0.2475247
## 1885 1.160000 1.522560 0.2379000
## 1886 1.160000 1.463026 0.2285978
## 1943 1.130997 1.547271 0.2417612
## 1944 1.130997 1.487824 0.2324725
nrow(dfuva1)
## [1] 727
sum(dfuva1$n)
## [1] 1379.978
#Rail Model

#values for u,v,x, and z are the same as above



#convinence penalty for taking train
cf <- 1.1

#transportation distance rail traveled and travel to rail
zz <- z+abs(v)

#cost to travel by rail
tr <- 500

#rail and commute travel cost
rtc <- (tr*abs(v)+t*abs(u))

#optimal price per square foot


p <- (al^al*(1-al)^(1-al)*(y-rtc)/V)^(1/al)


#optimal q
q <- al*(y-(rtc))/p

#optimal g
g <- (1-al)*(rtc)

#optimal s
s <- (p/bt)^(1/(bt-1))

#optimal r
r <- p*s - s^(bt)

#population n s(floorspaceperacre/ floorspace per household * (size of square (sqmi)) * acres/sqmi * fraction of housing in area)
n <- s/q * (.2*.2) * 640 * .25 

nn <- s/q

#rail customers dataframe
dfr1 <- data.frame(u,v,x,z,zz,p,g,q,s,r,n,nn,rtc)

#removes all values for people more than 1.75 miles from the train
dfr1 <- dfr1[(dfr1$z <= 1.75),]
dfr1 <- dfr1[(dfr1$r > ag),]

#optimal price per square foot


p <- (al^al*(1-al)^(1-al)*(y-t*x)/V)^(1/al)


#optimal q
q <- al*(y-t*x)/p

#optimal g
g <- (1-al)*(y-t*x)

#optimal s
s <- (p/bt)^(1/(bt-1))

#optimal r
r <- p*s - s^(bt)

#population n s(floorspaceperacre/ floorspace (sqft) per household * (size of square (sqmi)) * acres/sqmi * fraction of housing in area)
n <- s/q * (.2*.2) * 640 * .25

nn <- s/q

rtc <- t*x

#non rail customers dataframe
dfr2 <- data.frame(u,v,x,z,zz,p,g,q,s,r,n,nn,rtc)


#removes all values within 1.75 of the train
dfr2 <- dfr2[(dfr2$z > 1.75),]
dfr2 <- dfr2[(dfr2$r > ag),]

dfuv <- rbind(dfr1,dfr2)


#getting rid of land rents less than land ag
dfuv1 <- dfuv[!(dfuv$r<ag),]

nrow(dfuv1)
## [1] 577
sum(dfuv1$n)
## [1] 899.1577
#dfuv1[(dfuv1$u == 0),]
#Creating All Plots

require(ggplot2)
## Loading required package: ggplot2
## Warning: package 'ggplot2' was built under R version 4.0.2
require(grid)
## Loading required package: grid
require(gridExtra)
## Loading required package: gridExtra
require(RColorBrewer)
## Loading required package: RColorBrewer
require(viridis)
## Loading required package: viridis
## Warning: package 'viridis' was built under R version 4.0.2
## Loading required package: viridisLite
#using s (housing area/acre)
p1<-ggplot(dfuv1, aes(x = u, y = v, color = s)) +
   geom_point(size = 1, shape = 19) +
  scale_color_viridis(option = 'magma', direction = -1) +
  lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal() +
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'Housing Area/Acre: \n Rail Distance Model')

#using q (housing sqft for area)
p2<-ggplot(dfuv1, aes(x = u, y = v, color = q)) +
   geom_point(size = 1, shape = 19) +
  scale_color_viridis(option = 'inferno') +
  #scale_color_gradientn(colors = rainbow(10)) +
  lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal() +
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'Housing sqft / sqmi: \n Rail Distance Model')


#using n transportation distance
p3<-ggplot(dfuv1, aes(x = u, y = v, color = n)) +
   geom_point(size = 1, shape = 19) +
  scale_color_viridis(direction = -1) +
  lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal()+
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) + 
  labs(title = 'Population: \n Rail Distance Model')

#using am transportation distance
p4<-ggplot(dfuva1, aes(x = u, y = v, color = am)) +
   geom_point(size = 1, shape = 17) +
  
  scale_color_gradientn(colors = rainbow(7)) +
  lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal()+
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'Amenity Level: \n Amentity Model')

#using population for am
p5<-ggplot(dfuva1, aes(x = u, y = v, color = n)) +
   geom_point(size = 1, shape = 17) +
  scale_color_viridis(direction = -1) +
   lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal()+
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'Population: \n Amenity Model')

#population for original 

p6<-ggplot(dfsc1, aes(x = u, y = v, color = n)) +
   geom_point(size = 1, shape = 11) +
  scale_color_gradientn(colors = rev(rainbow(10)))+
  lims(x=c(-25,25),y=c(-25,25)) +
  coord_fixed() +  
  theme_minimal()+
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'Population: \n Monocentric Model')



p7<-ggplot(dfscm1, aes(x = u, y = v, color = n)) +
   geom_point(size = 2, shape = 7) +
  
  scale_color_viridis(direction = -1) +
  lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal()+
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'Population: \n m-Monocentric Model')



p8<-ggplot(dfuv1, aes(x = u, y = v, color = nn)) +
   geom_point(size = 1, shape = 19) +
  scale_color_viridis(direction = -1) +
  lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal()+
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'House Density: \n Rail Distance Model')

hd4<-ggplot(dfuv1, aes(x = u, y = v, color = nn)) +
   geom_point(size = 1, shape = 19) +
  scale_color_viridis(direction = -1) +
  lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal()+
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'House Density: \n Rail Distance Model')

hd3<-ggplot(dfuva1, aes(x = u, y = v, color = nn)) +
   geom_point(size = 1, shape = 17) +
  scale_color_viridis(direction = -1) +
  lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal()+
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'House Density: \n Amenity Model')

hd2<-ggplot(dfscm1, aes(x = u, y = v, color = nn)) +
   geom_point(size = 2, shape = 7) +
  scale_color_viridis(direction = -1) +
  lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal()+
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'House Density: \n m-Monocentric Model')


pr4<-ggplot(dfuv1, aes(x = u, y = v, color = p)) +
   geom_point(size = 1, shape = 19) +
  scale_color_viridis(option = 'magma', direction = -1) +
  lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal() +
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'Housing Price: \n Rail Distance Model')

pr3<-ggplot(dfuva1, aes(x = u, y = v, color = p)) +
   geom_point(size = 1, shape = 17) +
  scale_color_viridis(option = 'magma', direction = -1) +
  lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal() +
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'House Price: \n Amenity Model')

pr2<-ggplot(dfscm1, aes(x = u, y = v, color = p)) +
   geom_point(size = 2, shape = 7) +
  scale_color_viridis(option = 'magma', direction = -1) +
  lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal() +
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'House Price: \n m-Monocentric Model')


r4<-ggplot(dfuv1, aes(x = u, y = v, color = r)) +
   geom_point(size = 1, shape = 19) +
  scale_color_viridis(option = 'magma', direction = -1) +
  lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal() +
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'Land Rent: \n Rail Distance Model')

r3<-ggplot(dfuva1, aes(x = u, y = v, color = r)) +
   geom_point(size = 1, shape = 17) +
  scale_color_viridis(option = 'magma', direction = -1) +
  lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal() +
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'Land Rent: \n Amenity Model')

r2<-ggplot(dfscm1, aes(x = u, y = v, color = r)) +
   geom_point(size = 2, shape = 7) +
  scale_color_viridis(option = 'magma', direction = -1) +
  lims(x=c(-3,3),y=c(-6,6)) +
  coord_fixed() +  
  theme_minimal() +
  geom_vline(xintercept = 0) + 
  geom_hline(yintercept = 0) +
  labs(title = 'Land Rent: \n m-Monocentric Model')
# Displaying all graphs and Saving All Graphs




#Population Density Across Urban Areas
pop_den <- grid.arrange(p5,p3,p6,p7, ncol=2, nrow = 2)

#Housing Density Across Urban Areas

house_den <- grid.arrange(hd4,hd3,hd2,ncol =3, nrow =1)

#Housing Prices Across Urban Areas
price_grid <- grid.arrange(pr4,pr3,pr2, ncol =3, nrow =1)

#Land Values across Urban Areas
lv_grid <- grid.arrange(r4,r3,r2,ncol =3, nrow =1)

#comparisons
comp_grid <- grid.arrange(p1,p2,p4,p7, ncol=2, nrow = 2)

ggsave(filename = "pop_den.pdf", pop_den)
## Saving 7 x 5 in image
ggsave(filename = "house_den.pdf", house_den)
## Saving 7 x 5 in image
ggsave(filename = "price_grid.pdf", price_grid)
## Saving 7 x 5 in image
ggsave(filename = "lv_grid.pdf", lv_grid)
## Saving 7 x 5 in image
ggsave(filename = "comp_grid.pdf", comp_grid)
## Saving 7 x 5 in image
library(formattable)
## Warning: package 'formattable' was built under R version 4.0.2
#Number of People who take rail vs. commute
rc <- nrow(dfr1)
cc <- nrow(dfr2)
rails <- c(0,0,.10,0)
rails[4] <- round(rc/(rc+cc),4)


#Transportation Expenditures

c_trans1 <- round(sum(dfsc1$x*1000),0)
c_trans2 <- round(sum(dfscm1$x*1000),0)
c_trans3 <- round(sum(dfuva1$x)*1000,0)
c_trans4 <- round(sum(dfuv1$rtc),0)

c_trans <- rbind(c_trans1,c_trans2,c_trans3,c_trans4)


#Transportation Energy Use and GHG Emissions 120.429 MBTU/ gal, cars average 27 mpg (EIA https://www.eia.gov/energyexplained/index.php?page=about_energy_units)
#light rail every 15 mins for 12.5 hours 50 times every day. About 1 cars going 30 mph. Goes 1125 miles a day. 
#64.642 MBTU/mile (http://www.rtd-fastracks.com/media/uploads/se/Energy_Tech_Report_0514_-_061814_vers.pdf)

e_trans1 <- sum(dfsc1$x*dfsc1$n*365*2*120.429/27)
e_trans2 <- sum(dfscm1$x*dfscm1$n*365*2*120.429/27)
e_trans3 <- sum(dfuva1$x*dfuva1$n*365*2*120.429/27)*.9 + 375*365*64.642
e_trans4 <- sum(dfr2$x*dfr2$n*365*2*120.429/27) + sum(dfr1$z*dfr1$n*365*2*120.429/27) + 375*365*64.642

e_trans <- rbind(e_trans1,e_trans2,e_trans3,e_trans4)

e_trans <- round(e_trans/1000,0)

# GHG of trans 8.887 kg CO2 / gallon

ghg_trans1 <- round(sum(dfsc1$x*dfsc1$n*365*2*8.887/(27*1000)),0)
ghg_trans2 <- round(sum(dfscm1$x*dfscm1$n*365*2*8.887/(27*1000)),0)
ghg_trans3 <- round((sum(dfuva1$x*dfuva1$n*365*2*8.887/(27*1000)))*.9 + 375*365*64.642/1000*((.85/3.41214/1000)/2204.6),0)
ghg_trans4 <- round(sum(dfr2$x*dfr2$n*365*2*8.887/(27*1000)) + sum(dfr1$z*dfr1$n*365*2*8.887/(27*1000)) + 375*365*64.642/1000*((.85/3.41214/1000)/2204.6),0)

tCO2_trans <- rbind(ghg_trans1,ghg_trans2,ghg_trans3,ghg_trans4)

#Residenital Energy Use and GHG Emissions 40 MBTU/sq ft (https://www.jchs.harvard.edu/blog/us-households-are-using-less-energy/)


e_res1 <- sum(dfsc1$q)*40 
e_res2 <- sum(dfscm1$q)*40 
e_res3 <- sum(dfuva1$q)*40 
e_res4 <- sum(dfuv1$q)*40 

e_res <- rbind(e_res1,e_res2,e_res3,e_res4)

e_res <- round(e_res/1000,0)

#GHG .85 lb CO2 / kwh https://data.austintexas.gov/Utilities-and-City-Services/Carbon-Intensity/hetr-8wqd
# 3.41214 MBTU/kwh 2204.6 metric tons per pound

tCO2e_res <- round(e_res*(.85/(3.41214/1000))/2204.6,0)

#Total energy and GHG
e_total <- e_res + e_trans

tCO2e_total <- tCO2e_res + tCO2_trans


#Total Land Area of the City

la1 <- nrow(dfsc1)*1
la2 <- nrow(dfscm1)*(.5*.5)
la3 <- nrow(dfuva1)*(.2*.2)
la4 <- nrow(dfuv1)*(.2*.2)

la <- rbind(la1,la2,la3,la4)


#Total Population


n1 <- round(sum(dfsc1$n),0)
n2 <- round(sum(dfscm1$n),0)
n3 <- round(sum(dfuva1$n),0)
n4 <- round(sum(dfuv1$n),0)

nt <- rbind(n1,n2,n3,n4)

#Utility
tU <- c(2700,6000,6000,6000)

s1 <- data.frame(rails, c_trans, e_trans, tCO2_trans, e_res, e_total, tCO2e_total, la, nt, tU)
rownames(s1) <- c('Moncentric', 'Monocentric Modified', 'Amenity','Rail Distance')
colnames(s1) <- c('% rail travel', '$_trans', 'MMBTU_trans', 'tCO2e_trans', 'MMBTU_res', 'MMBTU_total', 'tCO2e_total', 'City sqmi', 'Pop', 'Util' )


s2 <- s1[,2:8]/s1$Pop
colnames(s2) <- c('$_trans/house', 'MMBTU_trans/house', 'tCO2e_trans/house', 'MMBTU_res/house', 'MMBTU_total/house', 'tCO2e_total', 'Acres/house' )
s2$`Acres/house` <- s2$`Acres/house`*640*.25
s2 <- round(s2,2)
s2
##                      $_trans/house MMBTU_trans/house tCO2e_trans/house
## Moncentric                    6.07             25.71              1.90
## Monocentric Modified        159.06              4.88              0.36
## Amenity                    1133.73             12.26              0.43
## Rail Distance              1014.81             12.48              0.19
##                      MMBTU_res/house MMBTU_total/house tCO2e_total Acres/house
## Moncentric                      0.01             25.72        1.90        0.06
## Monocentric Modified            7.66             12.54        1.23        4.09
## Amenity                        37.40             49.66        4.66        3.37
## Rail Distance                  48.12             60.61        5.63        4.11
s1$`$_trans` <- prettyNum(s1$`$_trans`, big.mark = ',')
s1$MMBTU_trans <- prettyNum(s1$MMBTU_trans, big.mark =',')
s1$MMBTU_res <- prettyNum(s1$MMBTU_res, big.mark =',')
s1$MMBTU_total <- prettyNum(s1$MMBTU_total, big.mark = ',')
s1$`% rail travel` <- percent(s1$`% rail travel`, digits = 1)

s3 <- s1[,c(1,2,6,7,8,9,10)]

s3
##                      % rail travel    $_trans MMBTU_total tCO2e_total City sqmi
## Moncentric                    0.0% 25,646,389 108,602,912     8015924   1669.00
## Monocentric Modified          0.0%    107,367       8,466         827     17.25
## Amenity                      10.0%  1,564,541      68,532        6428     29.08
## Rail Distance                88.6%    912,313      54,487        5064     23.08
##                          Pop Util
## Moncentric           4222601 2700
## Monocentric Modified     675 6000
## Amenity                 1380 6000
## Rail Distance            899 6000
# Saving Files as pdfs

# pdf("city_data.pdf", height=2, width=8.5)
# grid.table(s3)
# dev.off()

# pdf("per_capita_data.pdf", height=2, width=13)
# grid.table(s2)
# dev.off()
#Solving for q and g using non-linear solver

i <- 1

while(i <= 16){


fn <- function(j) {

    a <- j[1]^al *j[2]^(1-al)-V
    b <- y-t*x[i]-p[i]*j[1]-j[2]
    
    

    return(c(a,b))

}

result <- nleqslv(c(500,10000), fn)  
result$x[1] <- q[i]
result$x[2] <- g[i]

i <- i+1

}

data.frame(x,p,q,g)
##              x         p        q        g
## 1    8.4852814  6.897066 2284.647 15757.36
## 2    8.3450584  6.958579 2274.526 15827.47
## 3    8.2073138  7.019270 2264.672 15896.34
## 4    8.0721744  7.079070 2255.086 15963.91
## 5    7.9397733  7.137904 2245.773 16030.11
## 6    7.8102497  7.195695 2236.737 16094.88
## 7    7.6837491  7.252362 2227.981 16158.13
## 8    7.5604233  7.307820 2219.511 16219.79
## 9    7.4404301  7.361983 2211.331 16279.78
## 10   7.3239334  7.414759 2203.448 16338.03
## 11   7.2111026  7.466054 2195.865 16394.45
## 12   7.1021124  7.515771 2188.590 16448.94
## 13   6.9971423  7.563810 2181.629 16501.43
## 14   6.8963759  7.610069 2174.988 16551.81
## 15   6.8000000  7.654444 2168.675 16600.00
## 16   6.7082039  7.696831 2162.695 16645.90
## 17   6.6211781  7.737123 2157.056 16689.41
## 18   6.5391131  7.775215 2151.766 16730.44
## 19   6.4621978  7.811001 2146.831 16768.90
## 20   6.3906181  7.844379 2142.259 16804.69
## 21   6.3245553  7.875247 2138.056 16837.72
## 22   6.2641839  7.903509 2134.230 16867.91
## 23   6.2096699  7.929072 2130.787 16895.17
## 24   6.1611687  7.951851 2127.733 16919.42
## 25   6.1188234  7.971765 2125.074 16940.59
## 26   6.0827625  7.988743 2122.814 16958.62
## 27   6.0530984  8.002723 2120.959 16973.45
## 28   6.0299254  8.013653 2119.513 16985.04
## 29   6.0133186  8.021490 2118.477 16993.34
## 30   6.0033324  8.026204 2117.855 16998.33
## 31   6.0000000  8.027778 2117.647 17000.00
## 32   6.0033324  8.026204 2117.855 16998.33
## 33   6.0133186  8.021490 2118.477 16993.34
## 34   6.0299254  8.013653 2119.513 16985.04
## 35   6.0530984  8.002723 2120.959 16973.45
## 36   6.0827625  7.988743 2122.814 16958.62
## 37   6.1188234  7.971765 2125.074 16940.59
## 38   6.1611687  7.951851 2127.733 16919.42
## 39   6.2096699  7.929072 2130.787 16895.17
## 40   6.2641839  7.903509 2134.230 16867.91
## 41   6.3245553  7.875247 2138.056 16837.72
## 42   6.3906181  7.844379 2142.259 16804.69
## 43   6.4621978  7.811001 2146.831 16768.90
## 44   6.5391131  7.775215 2151.766 16730.44
## 45   6.6211781  7.737123 2157.056 16689.41
## 46   6.7082039  7.696831 2162.695 16645.90
## 47   6.8000000  7.654444 2168.675 16600.00
## 48   6.8963759  7.610069 2174.988 16551.81
## 49   6.9971423  7.563810 2181.629 16501.43
## 50   7.1021124  7.515771 2188.590 16448.94
## 51   7.2111026  7.466054 2195.865 16394.45
## 52   7.3239334  7.414759 2203.448 16338.03
## 53   7.4404301  7.361983 2211.331 16279.78
## 54   7.5604233  7.307820 2219.511 16219.79
## 55   7.6837491  7.252362 2227.981 16158.13
## 56   7.8102497  7.195695 2236.737 16094.88
## 57   7.9397733  7.137904 2245.773 16030.11
## 58   8.0721744  7.079070 2255.086 15963.91
## 59   8.2073138  7.019270 2264.672 15896.34
## 60   8.3450584  6.958579 2274.526 15827.47
## 61   8.4852814  6.897066 2284.647 15757.36
## 62   8.3450584  6.958579 2274.526 15827.47
## 63   8.2024387  7.021423 2264.325 15898.78
## 64   8.0622577  7.083468 2254.386 15968.87
## 65   7.9246451  7.144642 2244.714 16037.68
## 66   7.7897368  7.204868 2235.312 16105.13
## 67   7.6576759  7.264069 2226.185 16171.16
## 68   7.5286121  7.322160 2217.337 16235.69
## 69   7.4027022  7.379054 2208.772 16298.65
## 70   7.2801099  7.434661 2200.496 16359.95
## 71   7.1610055  7.488886 2192.515 16419.50
## 72   7.0455660  7.541630 2184.835 16477.22
## 73   6.9339743  7.592792 2177.462 16533.01
## 74   6.8264193  7.642267 2170.402 16586.79
## 75   6.7230945  7.689947 2163.663 16638.45
## 76   6.6241981  7.735723 2157.252 16687.90
## 77   6.5299311  7.779483 2151.176 16735.03
## 78   6.4404969  7.821113 2145.443 16779.75
## 79   6.3560994  7.860500 2140.061 16821.95
## 80   6.2769419  7.897532 2135.038 16861.53
## 81   6.2032250  7.932097 2130.381 16898.39
## 82   6.1351447  7.964086 2126.098 16932.43
## 83   6.0728906  7.993394 2122.197 16963.55
## 84   6.0166436  8.019920 2118.684 16991.68
## 85   5.9665736  8.043570 2115.567 17016.71
## 86   5.9228372  8.064257 2112.852 17038.58
## 87   5.8855756  8.081902 2110.544 17057.21
## 88   5.8549125  8.096438 2108.649 17072.54
## 89   5.8309519  8.107805 2107.170 17084.52
## 90   5.8137767  8.115957 2106.112 17093.11
## 91   5.8034473  8.120863 2105.475 17098.28
## 92   5.8000000  8.122500 2105.263 17100.00
## 93   5.8034473  8.120863 2105.475 17098.28
## 94   5.8137767  8.115957 2106.112 17093.11
## 95   5.8309519  8.107805 2107.170 17084.52
## 96   5.8549125  8.096438 2108.649 17072.54
## 97   5.8855756  8.081902 2110.544 17057.21
## 98   5.9228372  8.064257 2112.852 17038.58
## 99   5.9665736  8.043570 2115.567 17016.71
## 100  6.0166436  8.019920 2118.684 16991.68
## 101  6.0728906  7.993394 2122.197 16963.55
## 102  6.1351447  7.964086 2126.098 16932.43
## 103  6.2032250  7.932097 2130.381 16898.39
## 104  6.2769419  7.897532 2135.038 16861.53
## 105  6.3560994  7.860500 2140.061 16821.95
## 106  6.4404969  7.821113 2145.443 16779.75
## 107  6.5299311  7.779483 2151.176 16735.03
## 108  6.6241981  7.735723 2157.252 16687.90
## 109  6.7230945  7.689947 2163.663 16638.45
## 110  6.8264193  7.642267 2170.402 16586.79
## 111  6.9339743  7.592792 2177.462 16533.01
## 112  7.0455660  7.541630 2184.835 16477.22
## 113  7.1610055  7.488886 2192.515 16419.50
## 114  7.2801099  7.434661 2200.496 16359.95
## 115  7.4027022  7.379054 2208.772 16298.65
## 116  7.5286121  7.322160 2217.337 16235.69
## 117  7.6576759  7.264069 2226.185 16171.16
## 118  7.7897368  7.204868 2235.312 16105.13
## 119  7.9246451  7.144642 2244.714 16037.68
## 120  8.0622577  7.083468 2254.386 15968.87
## 121  8.2024387  7.021423 2264.325 15898.78
## 122  8.3450584  6.958579 2274.526 15827.47
## 123  8.2073138  7.019270 2264.672 15896.34
## 124  8.0622577  7.083468 2254.386 15968.87
## 125  7.9195959  7.146891 2244.361 16040.20
## 126  7.7794601  7.209467 2234.599 16110.27
## 127  7.6419893  7.271117 2225.106 16179.01
## 128  7.5073298  7.331761 2215.884 16246.34
## 129  7.3756356  7.391314 2206.940 16312.18
## 130  7.2470684  7.449684 2198.277 16376.47
## 131  7.1217975  7.506779 2189.901 16439.10
## 132  7.0000000  7.562500 2181.818 16500.00
## 133  6.8818602  7.616744 2174.035 16559.07
## 134  6.7675697  7.669406 2166.558 16616.22
## 135  6.6573268  7.720374 2159.395 16671.34
## 136  6.5513357  7.769536 2152.552 16724.33
## 137  6.4498062  7.816774 2146.038 16775.10
## 138  6.3529521  7.861971 2139.861 16823.52
## 139  6.2609903  7.905005 2134.028 16869.50
## 140  6.1741396  7.945756 2128.549 16912.93
## 141  6.0926185  7.984101 2123.431 16953.69
## 142  6.0166436  8.019920 2118.684 16991.68
## 143  5.9464275  8.053096 2114.316 17026.79
## 144  5.8821765  8.083513 2110.334 17058.91
## 145  5.8240879  8.111062 2106.747 17087.96
## 146  5.7723479  8.135640 2103.562 17113.83
## 147  5.7271284  8.157151 2100.787 17136.44
## 148  5.6885851  8.175508 2098.427 17155.71
## 149  5.6568542  8.190637 2096.488 17171.57
## 150  5.6320511  8.202472 2094.975 17183.97
## 151  5.6142675  8.210962 2093.892 17192.87
## 152  5.6035703  8.216072 2093.241 17198.21
## 153  5.6000000  8.217778 2093.023 17200.00
## 154  5.6035703  8.216072 2093.241 17198.21
## 155  5.6142675  8.210962 2093.892 17192.87
## 156  5.6320511  8.202472 2094.975 17183.97
## 157  5.6568542  8.190637 2096.488 17171.57
## 158  5.6885851  8.175508 2098.427 17155.71
## 159  5.7271284  8.157151 2100.787 17136.44
## 160  5.7723479  8.135640 2103.562 17113.83
## 161  5.8240879  8.111062 2106.747 17087.96
## 162  5.8821765  8.083513 2110.334 17058.91
## 163  5.9464275  8.053096 2114.316 17026.79
## 164  6.0166436  8.019920 2118.684 16991.68
## 165  6.0926185  7.984101 2123.431 16953.69
## 166  6.1741396  7.945756 2128.549 16912.93
## 167  6.2609903  7.905005 2134.028 16869.50
## 168  6.3529521  7.861971 2139.861 16823.52
## 169  6.4498062  7.816774 2146.038 16775.10
## 170  6.5513357  7.769536 2152.552 16724.33
## 171  6.6573268  7.720374 2159.395 16671.34
## 172  6.7675697  7.669406 2166.558 16616.22
## 173  6.8818602  7.616744 2174.035 16559.07
## 174  7.0000000  7.562500 2181.818 16500.00
## 175  7.1217975  7.506779 2189.901 16439.10
## 176  7.2470684  7.449684 2198.277 16376.47
## 177  7.3756356  7.391314 2206.940 16312.18
## 178  7.5073298  7.331761 2215.884 16246.34
## 179  7.6419893  7.271117 2225.106 16179.01
## 180  7.7794601  7.209467 2234.599 16110.27
## 181  7.9195959  7.146891 2244.361 16040.20
## 182  8.0622577  7.083468 2254.386 15968.87
## 183  8.2073138  7.019270 2264.672 15896.34
## 184  8.0721744  7.079070 2255.086 15963.91
## 185  7.9246451  7.144642 2244.714 16037.68
## 186  7.7794601  7.209467 2234.599 16110.27
## 187  7.6367532  7.273470 2224.746 16181.62
## 188  7.4966659  7.336574 2215.157 16251.67
## 189  7.3593478  7.398696 2205.838 16320.33
## 190  7.2249567  7.459746 2196.793 16387.52
## 191  7.0936591  7.519634 2188.028 16453.17
## 192  6.9656299  7.578261 2179.548 16517.19
## 193  6.8410526  7.635526 2171.360 16579.47
## 194  6.7201190  7.691323 2163.469 16639.94
## 195  6.6030296  7.745539 2155.884 16698.49
## 196  6.4899923  7.798060 2148.612 16755.00
## 197  6.3812225  7.848765 2141.660 16809.39
## 198  6.2769419  7.897532 2135.038 16861.53
## 199  6.1773781  7.944234 2128.753 16911.31
## 200  6.0827625  7.988743 2122.814 16958.62
## 201  5.9933296  8.030928 2117.232 17003.34
## 202  5.9093147  8.070659 2112.014 17045.34
## 203  5.8309519  8.107805 2107.170 17084.52
## 204  5.7584720  8.142238 2102.710 17120.76
## 205  5.6920998  8.173833 2098.642 17153.95
## 206  5.6320511  8.202472 2094.975 17183.97
## 207  5.5785303  8.228039 2091.718 17210.73
## 208  5.5317267  8.250430 2088.877 17234.14
## 209  5.4918121  8.269549 2086.461 17254.09
## 210  5.4589376  8.285312 2084.476 17270.53
## 211  5.4332311  8.297649 2082.925 17283.38
## 212  5.4147945  8.306503 2081.815 17292.60
## 213  5.4037024  8.311832 2081.148 17298.15
## 214  5.4000000  8.313611 2080.925 17300.00
## 215  5.4037024  8.311832 2081.148 17298.15
## 216  5.4147945  8.306503 2081.815 17292.60
## 217  5.4332311  8.297649 2082.925 17283.38
## 218  5.4589376  8.285312 2084.476 17270.53
## 219  5.4918121  8.269549 2086.461 17254.09
## 220  5.5317267  8.250430 2088.877 17234.14
## 221  5.5785303  8.228039 2091.718 17210.73
## 222  5.6320511  8.202472 2094.975 17183.97
## 223  5.6920998  8.173833 2098.642 17153.95
## 224  5.7584720  8.142238 2102.710 17120.76
## 225  5.8309519  8.107805 2107.170 17084.52
## 226  5.9093147  8.070659 2112.014 17045.34
## 227  5.9933296  8.030928 2117.232 17003.34
## 228  6.0827625  7.988743 2122.814 16958.62
## 229  6.1773781  7.944234 2128.753 16911.31
## 230  6.2769419  7.897532 2135.038 16861.53
## 231  6.3812225  7.848765 2141.660 16809.39
## 232  6.4899923  7.798060 2148.612 16755.00
## 233  6.6030296  7.745539 2155.884 16698.49
## 234  6.7201190  7.691323 2163.469 16639.94
## 235  6.8410526  7.635526 2171.360 16579.47
## 236  6.9656299  7.578261 2179.548 16517.19
## 237  7.0936591  7.519634 2188.028 16453.17
## 238  7.2249567  7.459746 2196.793 16387.52
## 239  7.3593478  7.398696 2205.838 16320.33
## 240  7.4966659  7.336574 2215.157 16251.67
## 241  7.6367532  7.273470 2224.746 16181.62
## 242  7.7794601  7.209467 2234.599 16110.27
## 243  7.9246451  7.144642 2244.714 16037.68
## 244  8.0721744  7.079070 2255.086 15963.91
## 245  7.9397733  7.137904 2245.773 16030.11
## 246  7.7897368  7.204868 2235.312 16105.13
## 247  7.6419893  7.271117 2225.106 16179.01
## 248  7.4966659  7.336574 2215.157 16251.67
## 249  7.3539105  7.401161 2205.471 16323.04
## 250  7.2138755  7.464791 2196.051 16393.06
## 251  7.0767224  7.527376 2186.903 16461.64
## 252  6.9426220  7.588821 2178.031 16528.69
## 253  6.8117545  7.649025 2169.443 16594.12
## 254  6.6843100  7.707883 2161.144 16657.85
## 255  6.5604878  7.765285 2153.141 16719.76
## 256  6.4404969  7.821113 2145.443 16779.75
## 257  6.3245553  7.875247 2138.056 16837.72
## 258  6.2128898  7.927561 2130.990 16893.56
## 259  6.1057350  7.977925 2124.253 16947.13
## 260  6.0033324  8.026204 2117.855 16998.33
## 261  5.9059292  8.072262 2111.804 17047.04
## 262  5.8137767  8.115957 2106.112 17093.11
## 263  5.7271284  8.157151 2100.787 17136.44
## 264  5.6462377  8.195701 2095.840 17176.88
## 265  5.5713553  8.231469 2091.282 17214.32
## 266  5.5027266  8.264319 2087.121 17248.64
## 267  5.4405882  8.294118 2083.369 17279.71
## 268  5.3851648  8.320742 2080.033 17307.42
## 269  5.3366656  8.344075 2077.123 17331.67
## 270  5.2952809  8.364011 2074.646 17352.36
## 271  5.2611786  8.380456 2072.609 17369.41
## 272  5.2345009  8.393333 2071.019 17382.75
## 273  5.2153619  8.402577 2069.879 17392.32
## 274  5.2038447  8.408142 2069.194 17398.08
## 275  5.2000000  8.410000 2068.966 17400.00
## 276  5.2038447  8.408142 2069.194 17398.08
## 277  5.2153619  8.402577 2069.879 17392.32
## 278  5.2345009  8.393333 2071.019 17382.75
## 279  5.2611786  8.380456 2072.609 17369.41
## 280  5.2952809  8.364011 2074.646 17352.36
## 281  5.3366656  8.344075 2077.123 17331.67
## 282  5.3851648  8.320742 2080.033 17307.42
## 283  5.4405882  8.294118 2083.369 17279.71
## 284  5.5027266  8.264319 2087.121 17248.64
## 285  5.5713553  8.231469 2091.282 17214.32
## 286  5.6462377  8.195701 2095.840 17176.88
## 287  5.7271284  8.157151 2100.787 17136.44
## 288  5.8137767  8.115957 2106.112 17093.11
## 289  5.9059292  8.072262 2111.804 17047.04
## 290  6.0033324  8.026204 2117.855 16998.33
## 291  6.1057350  7.977925 2124.253 16947.13
## 292  6.2128898  7.927561 2130.990 16893.56
## 293  6.3245553  7.875247 2138.056 16837.72
## 294  6.4404969  7.821113 2145.443 16779.75
## 295  6.5604878  7.765285 2153.141 16719.76
## 296  6.6843100  7.707883 2161.144 16657.85
## 297  6.8117545  7.649025 2169.443 16594.12
## 298  6.9426220  7.588821 2178.031 16528.69
## 299  7.0767224  7.527376 2186.903 16461.64
## 300  7.2138755  7.464791 2196.051 16393.06
## 301  7.3539105  7.401161 2205.471 16323.04
## 302  7.4966659  7.336574 2215.157 16251.67
## 303  7.6419893  7.271117 2225.106 16179.01
## 304  7.7897368  7.204868 2235.312 16105.13
## 305  7.9397733  7.137904 2245.773 16030.11
## 306  7.8102497  7.195695 2236.737 16094.88
## 307  7.6576759  7.264069 2226.185 16171.16
## 308  7.5073298  7.331761 2215.884 16246.34
## 309  7.3593478  7.398696 2205.838 16320.33
## 310  7.2138755  7.464791 2196.051 16393.06
## 311  7.0710678  7.529962 2186.527 16464.47
## 312  6.9310894  7.594117 2177.272 16534.46
## 313  6.7941151  7.657158 2168.290 16602.94
## 314  6.6603303  7.718983 2159.589 16669.83
## 315  6.5299311  7.779483 2151.176 16735.03
## 316  6.4031242  7.838542 2143.056 16798.44
## 317  6.2801274  7.896040 2135.239 16859.94
## 318  6.1611687  7.951851 2127.733 16919.42
## 319  6.0464866  8.005841 2120.546 16976.76
## 320  5.9363288  8.057873 2113.689 17031.84
## 321  5.8309519  8.107805 2107.170 17084.52
## 322  5.7306195  8.155489 2101.001 17134.69
## 323  5.6356011  8.200777 2095.192 17182.20
## 324  5.5461698  8.243517 2089.753 17226.92
## 325  5.4626001  8.283555 2084.697 17268.70
## 326  5.3851648  8.320742 2080.033 17307.42
## 327  5.3141321  8.354927 2075.773 17342.93
## 328  5.2497619  8.385966 2071.928 17375.12
## 329  5.1923020  8.413721 2068.508 17403.85
## 330  5.1419841  8.438064 2065.522 17429.01
## 331  5.0990195  8.458878 2062.979 17450.49
## 332  5.0635956  8.476058 2060.888 17468.20
## 333  5.0358713  8.489516 2059.253 17482.06
## 334  5.0159745  8.499181 2058.082 17492.01
## 335  5.0039984  8.505001 2057.378 17498.00
## 336  5.0000000  8.506944 2057.143 17500.00
## 337  5.0039984  8.505001 2057.378 17498.00
## 338  5.0159745  8.499181 2058.082 17492.01
## 339  5.0358713  8.489516 2059.253 17482.06
## 340  5.0635956  8.476058 2060.888 17468.20
## 341  5.0990195  8.458878 2062.979 17450.49
## 342  5.1419841  8.438064 2065.522 17429.01
## 343  5.1923020  8.413721 2068.508 17403.85
## 344  5.2497619  8.385966 2071.928 17375.12
## 345  5.3141321  8.354927 2075.773 17342.93
## 346  5.3851648  8.320742 2080.033 17307.42
## 347  5.4626001  8.283555 2084.697 17268.70
## 348  5.5461698  8.243517 2089.753 17226.92
## 349  5.6356011  8.200777 2095.192 17182.20
## 350  5.7306195  8.155489 2101.001 17134.69
## 351  5.8309519  8.107805 2107.170 17084.52
## 352  5.9363288  8.057873 2113.689 17031.84
## 353  6.0464866  8.005841 2120.546 16976.76
## 354  6.1611687  7.951851 2127.733 16919.42
## 355  6.2801274  7.896040 2135.239 16859.94
## 356  6.4031242  7.838542 2143.056 16798.44
## 357  6.5299311  7.779483 2151.176 16735.03
## 358  6.6603303  7.718983 2159.589 16669.83
## 359  6.7941151  7.657158 2168.290 16602.94
## 360  6.9310894  7.594117 2177.272 16534.46
## 361  7.0710678  7.529962 2186.527 16464.47
## 362  7.2138755  7.464791 2196.051 16393.06
## 363  7.3593478  7.398696 2205.838 16320.33
## 364  7.5073298  7.331761 2215.884 16246.34
## 365  7.6576759  7.264069 2226.185 16171.16
## 366  7.8102497  7.195695 2236.737 16094.88
## 367  7.6837491  7.252362 2227.981 16158.13
## 368  7.5286121  7.322160 2217.337 16235.69
## 369  7.3756356  7.391314 2206.940 16312.18
## 370  7.2249567  7.459746 2196.793 16387.52
## 371  7.0767224  7.527376 2186.903 16461.64
## 372  6.9310894  7.594117 2177.272 16534.46
## 373  6.7882251  7.659875 2167.906 16605.89
## 374  6.6483081  7.724551 2158.811 16675.85
## 375  6.5115282  7.788040 2149.994 16744.24
## 376  6.3780875  7.850229 2141.461 16810.96
## 377  6.2481997  7.911000 2133.220 16875.90
## 378  6.1220911  7.970227 2125.279 16938.95
## 379  6.0000000  8.027778 2117.647 17000.00
## 380  5.8821765  8.083513 2110.334 17058.91
## 381  5.7688820  8.137288 2103.349 17115.56
## 382  5.6603887  8.188951 2096.704 17169.81
## 383  5.5569776  8.238346 2090.409 17221.51
## 384  5.4589376  8.285312 2084.476 17270.53
## 385  5.3665631  8.329687 2078.916 17316.72
## 386  5.2801515  8.371305 2073.742 17359.92
## 387  5.2000000  8.410000 2068.966 17400.00
## 388  5.1264022  8.445610 2064.599 17436.80
## 389  5.0596443  8.477975 2060.654 17470.18
## 390  5.0000000  8.506944 2057.143 17500.00
## 391  4.9477268  8.532374 2054.075 17526.14
## 392  4.9030603  8.554133 2051.461 17548.47
## 393  4.8662100  8.572106 2049.309 17566.89
## 394  4.8373546  8.586192 2047.628 17581.32
## 395  4.8166378  8.596312 2046.422 17591.68
## 396  4.8041649  8.602408 2045.697 17597.92
## 397  4.8000000  8.604444 2045.455 17600.00
## 398  4.8041649  8.602408 2045.697 17597.92
## 399  4.8166378  8.596312 2046.422 17591.68
## 400  4.8373546  8.586192 2047.628 17581.32
## 401  4.8662100  8.572106 2049.309 17566.89
## 402  4.9030603  8.554133 2051.461 17548.47
## 403  4.9477268  8.532374 2054.075 17526.14
## 404  5.0000000  8.506944 2057.143 17500.00
## 405  5.0596443  8.477975 2060.654 17470.18
## 406  5.1264022  8.445610 2064.599 17436.80
## 407  5.2000000  8.410000 2068.966 17400.00
## 408  5.2801515  8.371305 2073.742 17359.92
## 409  5.3665631  8.329687 2078.916 17316.72
## 410  5.4589376  8.285312 2084.476 17270.53
## 411  5.5569776  8.238346 2090.409 17221.51
## 412  5.6603887  8.188951 2096.704 17169.81
## 413  5.7688820  8.137288 2103.349 17115.56
## 414  5.8821765  8.083513 2110.334 17058.91
## 415  6.0000000  8.027778 2117.647 17000.00
## 416  6.1220911  7.970227 2125.279 16938.95
## 417  6.2481997  7.911000 2133.220 16875.90
## 418  6.3780875  7.850229 2141.461 16810.96
## 419  6.5115282  7.788040 2149.994 16744.24
## 420  6.6483081  7.724551 2158.811 16675.85
## 421  6.7882251  7.659875 2167.906 16605.89
## 422  6.9310894  7.594117 2177.272 16534.46
## 423  7.0767224  7.527376 2186.903 16461.64
## 424  7.2249567  7.459746 2196.793 16387.52
## 425  7.3756356  7.391314 2206.940 16312.18
## 426  7.5286121  7.322160 2217.337 16235.69
## 427  7.6837491  7.252362 2227.981 16158.13
## 428  7.5604233  7.307820 2219.511 16219.79
## 429  7.4027022  7.379054 2208.772 16298.65
## 430  7.2470684  7.449684 2198.277 16376.47
## 431  7.0936591  7.519634 2188.028 16453.17
## 432  6.9426220  7.588821 2178.031 16528.69
## 433  6.7941151  7.657158 2168.290 16602.94
## 434  6.6483081  7.724551 2158.811 16675.85
## 435  6.5053824  7.790899 2149.599 16747.31
## 436  6.3655322  7.856093 2140.661 16817.23
## 437  6.2289646  7.920020 2132.005 16885.52
## 438  6.0959003  7.982555 2123.637 16952.05
## 439  5.9665736  8.043570 2115.567 17016.71
## 440  5.8412327  8.102926 2107.804 17079.38
## 441  5.7201399  8.160478 2100.359 17139.93
## 442  5.6035703  8.216072 2093.241 17198.21
## 443  5.4918121  8.269549 2086.461 17254.09
## 444  5.3851648  8.320742 2080.033 17307.42
## 445  5.2839379  8.369479 2073.968 17358.03
## 446  5.1884487  8.415584 2068.279 17405.78
## 447  5.0990195  8.458878 2062.979 17450.49
## 448  5.0159745  8.499181 2058.082 17492.01
## 449  4.9396356  8.536314 2053.601 17530.18
## 450  4.8703183  8.570101 2049.549 17564.84
## 451  4.8083261  8.600374 2045.938 17595.84
## 452  4.7539457  8.626975 2042.782 17623.03
## 453  4.7074409  8.649755 2040.090 17646.28
## 454  4.6690470  8.668585 2037.873 17665.48
## 455  4.6389654  8.683353 2036.140 17680.52
## 456  4.6173586  8.693967 2034.896 17691.32
## 457  4.6043458  8.700363 2034.148 17697.83
## 458  4.6000000  8.702500 2033.898 17700.00
## 459  4.6043458  8.700363 2034.148 17697.83
## 460  4.6173586  8.693967 2034.896 17691.32
## 461  4.6389654  8.683353 2036.140 17680.52
## 462  4.6690470  8.668585 2037.873 17665.48
## 463  4.7074409  8.649755 2040.090 17646.28
## 464  4.7539457  8.626975 2042.782 17623.03
## 465  4.8083261  8.600374 2045.938 17595.84
## 466  4.8703183  8.570101 2049.549 17564.84
## 467  4.9396356  8.536314 2053.601 17530.18
## 468  5.0159745  8.499181 2058.082 17492.01
## 469  5.0990195  8.458878 2062.979 17450.49
## 470  5.1884487  8.415584 2068.279 17405.78
## 471  5.2839379  8.369479 2073.968 17358.03
## 472  5.3851648  8.320742 2080.033 17307.42
## 473  5.4918121  8.269549 2086.461 17254.09
## 474  5.6035703  8.216072 2093.241 17198.21
## 475  5.7201399  8.160478 2100.359 17139.93
## 476  5.8412327  8.102926 2107.804 17079.38
## 477  5.9665736  8.043570 2115.567 17016.71
## 478  6.0959003  7.982555 2123.637 16952.05
## 479  6.2289646  7.920020 2132.005 16885.52
## 480  6.3655322  7.856093 2140.661 16817.23
## 481  6.5053824  7.790899 2149.599 16747.31
## 482  6.6483081  7.724551 2158.811 16675.85
## 483  6.7941151  7.657158 2168.290 16602.94
## 484  6.9426220  7.588821 2178.031 16528.69
## 485  7.0936591  7.519634 2188.028 16453.17
## 486  7.2470684  7.449684 2198.277 16376.47
## 487  7.4027022  7.379054 2208.772 16298.65
## 488  7.5604233  7.307820 2219.511 16219.79
## 489  7.4404301  7.361983 2211.331 16279.78
## 490  7.2801099  7.434661 2200.496 16359.95
## 491  7.1217975  7.506779 2189.901 16439.10
## 492  6.9656299  7.578261 2179.548 16517.19
## 493  6.8117545  7.649025 2169.443 16594.12
## 494  6.6603303  7.718983 2159.589 16669.83
## 495  6.5115282  7.788040 2149.994 16744.24
## 496  6.3655322  7.856093 2140.661 16817.23
## 497  6.2225397  7.923034 2131.599 16888.73
## 498  6.0827625  7.988743 2122.814 16958.62
## 499  5.9464275  8.053096 2114.316 17026.79
## 500  5.8137767  8.115957 2106.112 17093.11
## 501  5.6850682  8.177184 2098.212 17157.47
## 502  5.5605755  8.236625 2090.627 17219.71
## 503  5.4405882  8.294118 2083.369 17279.71
## 504  5.3254108  8.349494 2076.449 17337.29
## 505  5.2153619  8.402577 2069.879 17392.32
## 506  5.1107729  8.453182 2063.674 17444.61
## 507  5.0119856  8.501119 2057.848 17494.01
## 508  4.9193496  8.546195 2052.413 17540.33
## 509  4.8332184  8.588212 2047.387 17583.39
## 510  4.7539457  8.626975 2042.782 17623.03
## 511  4.6818800  8.662289 2038.614 17659.06
## 512  4.6173586  8.693967 2034.896 17691.32
## 513  4.5607017  8.721832 2031.643 17719.65
## 514  4.5122057  8.745719 2028.867 17743.90
## 515  4.4721360  8.765480 2026.578 17763.93
## 516  4.4407207  8.780989 2024.788 17779.64
## 517  4.4181444  8.792142 2023.503 17790.93
## 518  4.4045431  8.798865 2022.730 17797.73
## 519  4.4000000  8.801111 2022.472 17800.00
## 520  4.4045431  8.798865 2022.730 17797.73
## 521  4.4181444  8.792142 2023.503 17790.93
## 522  4.4407207  8.780989 2024.788 17779.64
## 523  4.4721360  8.765480 2026.578 17763.93
## 524  4.5122057  8.745719 2028.867 17743.90
## 525  4.5607017  8.721832 2031.643 17719.65
## 526  4.6173586  8.693967 2034.896 17691.32
## 527  4.6818800  8.662289 2038.614 17659.06
## 528  4.7539457  8.626975 2042.782 17623.03
## 529  4.8332184  8.588212 2047.387 17583.39
## 530  4.9193496  8.546195 2052.413 17540.33
## 531  5.0119856  8.501119 2057.848 17494.01
## 532  5.1107729  8.453182 2063.674 17444.61
## 533  5.2153619  8.402577 2069.879 17392.32
## 534  5.3254108  8.349494 2076.449 17337.29
## 535  5.4405882  8.294118 2083.369 17279.71
## 536  5.5605755  8.236625 2090.627 17219.71
## 537  5.6850682  8.177184 2098.212 17157.47
## 538  5.8137767  8.115957 2106.112 17093.11
## 539  5.9464275  8.053096 2114.316 17026.79
## 540  6.0827625  7.988743 2122.814 16958.62
## 541  6.2225397  7.923034 2131.599 16888.73
## 542  6.3655322  7.856093 2140.661 16817.23
## 543  6.5115282  7.788040 2149.994 16744.24
## 544  6.6603303  7.718983 2159.589 16669.83
## 545  6.8117545  7.649025 2169.443 16594.12
## 546  6.9656299  7.578261 2179.548 16517.19
## 547  7.1217975  7.506779 2189.901 16439.10
## 548  7.2801099  7.434661 2200.496 16359.95
## 549  7.4404301  7.361983 2211.331 16279.78
## 550  7.3239334  7.414759 2203.448 16338.03
## 551  7.1610055  7.488886 2192.515 16419.50
## 552  7.0000000  7.562500 2181.818 16500.00
## 553  6.8410526  7.635526 2171.360 16579.47
## 554  6.6843100  7.707883 2161.144 16657.85
## 555  6.5299311  7.779483 2151.176 16735.03
## 556  6.3780875  7.850229 2141.461 16810.96
## 557  6.2289646  7.920020 2132.005 16885.52
## 558  6.0827625  7.988743 2122.814 16958.62
## 559  5.9396970  8.056279 2113.898 17030.15
## 560  5.8000000  8.122500 2105.263 17100.00
## 561  5.6639209  8.187266 2096.920 17168.04
## 562  5.5317267  8.250430 2088.877 17234.14
## 563  5.4037024  8.311832 2081.148 17298.15
## 564  5.2801515  8.371305 2073.742 17359.92
## 565  5.1613952  8.428669 2066.673 17419.30
## 566  5.0477718  8.483738 2059.955 17476.11
## 567  4.9396356  8.536314 2053.601 17530.18
## 568  4.8373546  8.586192 2047.628 17581.32
## 569  4.7413078  8.633162 2042.050 17629.35
## 570  4.6518813  8.677010 2036.884 17674.06
## 571  4.5694639  8.717520 2032.145 17715.27
## 572  4.4944410  8.754477 2027.851 17752.78
## 573  4.4271887  8.787673 2024.018 17786.41
## 574  4.3680659  8.816908 2020.659 17815.97
## 575  4.3174066  8.841996 2017.791 17841.30
## 576  4.2755117  8.862771 2015.424 17862.24
## 577  4.2426407  8.879089 2013.572 17878.68
## 578  4.2190046  8.890831 2012.241 17890.50
## 579  4.2047592  8.897912 2011.441 17897.62
## 580  4.2000000  8.900278 2011.173 17900.00
## 581  4.2047592  8.897912 2011.441 17897.62
## 582  4.2190046  8.890831 2012.241 17890.50
## 583  4.2426407  8.879089 2013.572 17878.68
## 584  4.2755117  8.862771 2015.424 17862.24
## 585  4.3174066  8.841996 2017.791 17841.30
## 586  4.3680659  8.816908 2020.659 17815.97
## 587  4.4271887  8.787673 2024.018 17786.41
## 588  4.4944410  8.754477 2027.851 17752.78
## 589  4.5694639  8.717520 2032.145 17715.27
## 590  4.6518813  8.677010 2036.884 17674.06
## 591  4.7413078  8.633162 2042.050 17629.35
## 592  4.8373546  8.586192 2047.628 17581.32
## 593  4.9396356  8.536314 2053.601 17530.18
## 594  5.0477718  8.483738 2059.955 17476.11
## 595  5.1613952  8.428669 2066.673 17419.30
## 596  5.2801515  8.371305 2073.742 17359.92
## 597  5.4037024  8.311832 2081.148 17298.15
## 598  5.5317267  8.250430 2088.877 17234.14
## 599  5.6639209  8.187266 2096.920 17168.04
## 600  5.8000000  8.122500 2105.263 17100.00
## 601  5.9396970  8.056279 2113.898 17030.15
## 602  6.0827625  7.988743 2122.814 16958.62
## 603  6.2289646  7.920020 2132.005 16885.52
## 604  6.3780875  7.850229 2141.461 16810.96
## 605  6.5299311  7.779483 2151.176 16735.03
## 606  6.6843100  7.707883 2161.144 16657.85
## 607  6.8410526  7.635526 2171.360 16579.47
## 608  7.0000000  7.562500 2181.818 16500.00
## 609  7.1610055  7.488886 2192.515 16419.50
## 610  7.3239334  7.414759 2203.448 16338.03
## 611  7.2111026  7.466054 2195.865 16394.45
## 612  7.0455660  7.541630 2184.835 16477.22
## 613  6.8818602  7.616744 2174.035 16559.07
## 614  6.7201190  7.691323 2163.469 16639.94
## 615  6.5604878  7.765285 2153.141 16719.76
## 616  6.4031242  7.838542 2143.056 16798.44
## 617  6.2481997  7.911000 2133.220 16875.90
## 618  6.0959003  7.982555 2123.637 16952.05
## 619  5.9464275  8.053096 2114.316 17026.79
## 620  5.8000000  8.122500 2105.263 17100.00
## 621  5.6568542  8.190637 2096.488 17171.57
## 622  5.5172457  8.257364 2088.000 17241.38
## 623  5.3814496  8.322528 2079.810 17309.28
## 624  5.2497619  8.385966 2071.928 17375.12
## 625  5.1224994  8.447500 2064.368 17438.75
## 626  5.0000000  8.506944 2057.143 17500.00
## 627  4.8826222  8.564099 2050.267 17558.69
## 628  4.7707442  8.618753 2043.756 17614.63
## 629  4.6647615  8.670688 2037.626 17667.62
## 630  4.5650849  8.719675 2031.894 17717.46
## 631  4.4721360  8.765480 2026.578 17763.93
## 632  4.3863424  8.807865 2021.696 17806.83
## 633  4.3081318  8.846593 2017.266 17845.93
## 634  4.2379240  8.881431 2013.306 17881.04
## 635  4.1761226  8.912154 2009.833 17911.94
## 636  4.1231056  8.938552 2006.863 17938.45
## 637  4.0792156  8.960436 2004.411 17960.39
## 638  4.0447497  8.977639 2002.489 17977.63
## 639  4.0199502  8.990028 2001.109 17990.02
## 640  4.0049969  8.997502 2000.278 17997.50
## 641  4.0000000  9.000000 2000.000 18000.00
## 642  4.0049969  8.997502 2000.278 17997.50
## 643  4.0199502  8.990028 2001.109 17990.02
## 644  4.0447497  8.977639 2002.489 17977.63
## 645  4.0792156  8.960436 2004.411 17960.39
## 646  4.1231056  8.938552 2006.863 17938.45
## 647  4.1761226  8.912154 2009.833 17911.94
## 648  4.2379240  8.881431 2013.306 17881.04
## 649  4.3081318  8.846593 2017.266 17845.93
## 650  4.3863424  8.807865 2021.696 17806.83
## 651  4.4721360  8.765480 2026.578 17763.93
## 652  4.5650849  8.719675 2031.894 17717.46
## 653  4.6647615  8.670688 2037.626 17667.62
## 654  4.7707442  8.618753 2043.756 17614.63
## 655  4.8826222  8.564099 2050.267 17558.69
## 656  5.0000000  8.506944 2057.143 17500.00
## 657  5.1224994  8.447500 2064.368 17438.75
## 658  5.2497619  8.385966 2071.928 17375.12
## 659  5.3814496  8.322528 2079.810 17309.28
## 660  5.5172457  8.257364 2088.000 17241.38
## 661  5.6568542  8.190637 2096.488 17171.57
## 662  5.8000000  8.122500 2105.263 17100.00
## 663  5.9464275  8.053096 2114.316 17026.79
## 664  6.0959003  7.982555 2123.637 16952.05
## 665  6.2481997  7.911000 2133.220 16875.90
## 666  6.4031242  7.838542 2143.056 16798.44
## 667  6.5604878  7.765285 2153.141 16719.76
## 668  6.7201190  7.691323 2163.469 16639.94
## 669  6.8818602  7.616744 2174.035 16559.07
## 670  7.0455660  7.541630 2184.835 16477.22
## 671  7.2111026  7.466054 2195.865 16394.45
## 672  7.1021124  7.515771 2188.590 16448.94
## 673  6.9339743  7.592792 2177.462 16533.01
## 674  6.7675697  7.669406 2166.558 16616.22
## 675  6.6030296  7.745539 2155.884 16698.49
## 676  6.4404969  7.821113 2145.443 16779.75
## 677  6.2801274  7.896040 2135.239 16859.94
## 678  6.1220911  7.970227 2125.279 16938.95
## 679  5.9665736  8.043570 2115.567 17016.71
## 680  5.8137767  8.115957 2106.112 17093.11
## 681  5.6639209  8.187266 2096.920 17168.04
## 682  5.5172457  8.257364 2088.000 17241.38
## 683  5.3740115  8.326105 2079.363 17312.99
## 684  5.2345009  8.393333 2071.019 17382.75
## 685  5.0990195  8.458878 2062.979 17450.49
## 686  4.9678969  8.522557 2055.258 17516.05
## 687  4.8414874  8.584174 2047.868 17579.26
## 688  4.7201695  8.643517 2040.826 17639.92
## 689  4.6043458  8.700363 2034.148 17697.83
## 690  4.4944410  8.754477 2027.851 17752.78
## 691  4.3908997  8.805611 2021.955 17804.55
## 692  4.2941821  8.853510 2016.478 17852.91
## 693  4.2047592  8.897912 2011.441 17897.62
## 694  4.1231056  8.938552 2006.863 17938.45
## 695  4.0496913  8.975171 2002.764 17975.15
## 696  3.9849718  9.007516 1999.165 18007.51
## 697  3.9293765  9.035346 1996.084 18035.31
## 698  3.8832976  9.058446 1993.537 18058.35
## 699  3.8470768  9.076624 1991.540 18076.46
## 700  3.8209946  9.089725 1990.104 18089.50
## 701  3.8052595  9.097634 1989.239 18097.37
## 702  3.8000000  9.100278 1988.950 18100.00
## 703  3.8052595  9.097634 1989.239 18097.37
## 704  3.8209946  9.089725 1990.104 18089.50
## 705  3.8470768  9.076624 1991.540 18076.46
## 706  3.8832976  9.058446 1993.537 18058.35
## 707  3.9293765  9.035346 1996.084 18035.31
## 708  3.9849718  9.007516 1999.165 18007.51
## 709  4.0496913  8.975171 2002.764 17975.15
## 710  4.1231056  8.938552 2006.863 17938.45
## 711  4.2047592  8.897912 2011.441 17897.62
## 712  4.2941821  8.853510 2016.478 17852.91
## 713  4.3908997  8.805611 2021.955 17804.55
## 714  4.4944410  8.754477 2027.851 17752.78
## 715  4.6043458  8.700363 2034.148 17697.83
## 716  4.7201695  8.643517 2040.826 17639.92
## 717  4.8414874  8.584174 2047.868 17579.26
## 718  4.9678969  8.522557 2055.258 17516.05
## 719  5.0990195  8.458878 2062.979 17450.49
## 720  5.2345009  8.393333 2071.019 17382.75
## 721  5.3740115  8.326105 2079.363 17312.99
## 722  5.5172457  8.257364 2088.000 17241.38
## 723  5.6639209  8.187266 2096.920 17168.04
## 724  5.8137767  8.115957 2106.112 17093.11
## 725  5.9665736  8.043570 2115.567 17016.71
## 726  6.1220911  7.970227 2125.279 16938.95
## 727  6.2801274  7.896040 2135.239 16859.94
## 728  6.4404969  7.821113 2145.443 16779.75
## 729  6.6030296  7.745539 2155.884 16698.49
## 730  6.7675697  7.669406 2166.558 16616.22
## 731  6.9339743  7.592792 2177.462 16533.01
## 732  7.1021124  7.515771 2188.590 16448.94
## 733  6.9971423  7.563810 2181.629 16501.43
## 734  6.8264193  7.642267 2170.402 16586.79
## 735  6.6573268  7.720374 2159.395 16671.34
## 736  6.4899923  7.798060 2148.612 16755.00
## 737  6.3245553  7.875247 2138.056 16837.72
## 738  6.1611687  7.951851 2127.733 16919.42
## 739  6.0000000  8.027778 2117.647 17000.00
## 740  5.8412327  8.102926 2107.804 17079.38
## 741  5.6850682  8.177184 2098.212 17157.47
## 742  5.5317267  8.250430 2088.877 17234.14
## 743  5.3814496  8.322528 2079.810 17309.28
## 744  5.2345009  8.393333 2071.019 17382.75
## 745  5.0911688  8.462684 2062.515 17454.42
## 746  4.9517674  8.530407 2054.312 17524.12
## 747  4.8166378  8.596312 2046.422 17591.68
## 748  4.6861498  8.660195 2038.860 17656.93
## 749  4.5607017  8.721832 2031.643 17719.65
## 750  4.4407207  8.780989 2024.788 17779.64
## 751  4.3266615  8.837410 2018.314 17836.67
## 752  4.2190046  8.890831 2012.241 17890.50
## 753  4.1182521  8.940971 2006.591 17940.87
## 754  4.0249224  8.987543 2001.386 17987.54
## 755  3.9395431  9.030254 1996.647 18030.23
## 756  3.8626416  9.068810 1992.398 18068.68
## 757  3.7947332  9.102926 1988.661 18102.63
## 758  3.7363083  9.132329 1985.457 18131.85
## 759  3.6878178  9.156768 1982.806 18156.09
## 760  3.6496575  9.176024 1980.724 18175.17
## 761  3.6221541  9.189914 1979.227 18188.92
## 762  3.6055513  9.198305 1978.324 18197.22
## 763  3.6000000  9.201111 1978.022 18200.00
## 764  3.6055513  9.198305 1978.324 18197.22
## 765  3.6221541  9.189914 1979.227 18188.92
## 766  3.6496575  9.176024 1980.724 18175.17
## 767  3.6878178  9.156768 1982.806 18156.09
## 768  3.7363083  9.132329 1985.457 18131.85
## 769  3.7947332  9.102926 1988.661 18102.63
## 770  3.8626416  9.068810 1992.398 18068.68
## 771  3.9395431  9.030254 1996.647 18030.23
## 772  4.0249224  8.987543 2001.386 17987.54
## 773  4.1182521  8.940971 2006.591 17940.87
## 774  4.2190046  8.890831 2012.241 17890.50
## 775  4.3266615  8.837410 2018.314 17836.67
## 776  4.4407207  8.780989 2024.788 17779.64
## 777  4.5607017  8.721832 2031.643 17719.65
## 778  4.6861498  8.660195 2038.860 17656.93
## 779  4.8166378  8.596312 2046.422 17591.68
## 780  4.9517674  8.530407 2054.312 17524.12
## 781  5.0911688  8.462684 2062.515 17454.42
## 782  5.2345009  8.393333 2071.019 17382.75
## 783  5.3814496  8.322528 2079.810 17309.28
## 784  5.5317267  8.250430 2088.877 17234.14
## 785  5.6850682  8.177184 2098.212 17157.47
## 786  5.8412327  8.102926 2107.804 17079.38
## 787  6.0000000  8.027778 2117.647 17000.00
## 788  6.1611687  7.951851 2127.733 16919.42
## 789  6.3245553  7.875247 2138.056 16837.72
## 790  6.4899923  7.798060 2148.612 16755.00
## 791  6.6573268  7.720374 2159.395 16671.34
## 792  6.8264193  7.642267 2170.402 16586.79
## 793  6.9971423  7.563810 2181.629 16501.43
## 794  6.8963759  7.610069 2174.988 16551.81
## 795  6.7230945  7.689947 2163.663 16638.45
## 796  6.5513357  7.769536 2152.552 16724.33
## 797  6.3812225  7.848765 2141.660 16809.39
## 798  6.2128898  7.927561 2130.990 16893.56
## 799  6.0464866  8.005841 2120.546 16976.76
## 800  5.8821765  8.083513 2110.334 17058.91
## 801  5.7201399  8.160478 2100.359 17139.93
## 802  5.5605755  8.236625 2090.627 17219.71
## 803  5.4037024  8.311832 2081.148 17298.15
## 804  5.2497619  8.385966 2071.928 17375.12
## 805  5.0990195  8.458878 2062.979 17450.49
## 806  4.9517674  8.530407 2054.312 17524.12
## 807  4.8083261  8.600374 2045.938 17595.84
## 808  4.6690470  8.668585 2037.873 17665.48
## 809  4.5343136  8.734826 2030.131 17732.84
## 810  4.4045431  8.798865 2022.730 17797.73
## 811  4.2801869  8.860452 2015.688 17859.91
## 812  4.1617304  8.919316 2009.026 17919.13
## 813  4.0496913  8.975171 2002.764 17975.15
## 814  3.9446166  9.027713 1996.928 18027.69
## 815  3.8470768  9.076624 1991.540 18076.46
## 816  3.7576588  9.121578 1986.627 18121.17
## 817  3.6769553  9.162247 1982.213 18161.52
## 818  3.6055513  9.198305 1978.324 18197.22
## 819  3.5440090  9.229439 1974.984 18228.00
## 820  3.4928498  9.255361 1972.216 18253.58
## 821  3.4525353  9.275814 1970.041 18273.73
## 822  3.4234486  9.290584 1968.474 18288.28
## 823  3.4058773  9.299513 1967.529 18297.06
## 824  3.4000000  9.302500 1967.213 18300.00
## 825  3.4058773  9.299513 1967.529 18297.06
## 826  3.4234486  9.290584 1968.474 18288.28
## 827  3.4525353  9.275814 1970.041 18273.73
## 828  3.4928498  9.255361 1972.216 18253.58
## 829  3.5440090  9.229439 1974.984 18228.00
## 830  3.6055513  9.198305 1978.324 18197.22
## 831  3.6769553  9.162247 1982.213 18161.52
## 832  3.7576588  9.121578 1986.627 18121.17
## 833  3.8470768  9.076624 1991.540 18076.46
## 834  3.9446166  9.027713 1996.928 18027.69
## 835  4.0496913  8.975171 2002.764 17975.15
## 836  4.1617304  8.919316 2009.026 17919.13
## 837  4.2801869  8.860452 2015.688 17859.91
## 838  4.4045431  8.798865 2022.730 17797.73
## 839  4.5343136  8.734826 2030.131 17732.84
## 840  4.6690470  8.668585 2037.873 17665.48
## 841  4.8083261  8.600374 2045.938 17595.84
## 842  4.9517674  8.530407 2054.312 17524.12
## 843  5.0990195  8.458878 2062.979 17450.49
## 844  5.2497619  8.385966 2071.928 17375.12
## 845  5.4037024  8.311832 2081.148 17298.15
## 846  5.5605755  8.236625 2090.627 17219.71
## 847  5.7201399  8.160478 2100.359 17139.93
## 848  5.8821765  8.083513 2110.334 17058.91
## 849  6.0464866  8.005841 2120.546 16976.76
## 850  6.2128898  7.927561 2130.990 16893.56
## 851  6.3812225  7.848765 2141.660 16809.39
## 852  6.5513357  7.769536 2152.552 16724.33
## 853  6.7230945  7.689947 2163.663 16638.45
## 854  6.8963759  7.610069 2174.988 16551.81
## 855  6.8000000  7.654444 2168.675 16600.00
## 856  6.6241981  7.735723 2157.252 16687.90
## 857  6.4498062  7.816774 2146.038 16775.10
## 858  6.2769419  7.897532 2135.038 16861.53
## 859  6.1057350  7.977925 2124.253 16947.13
## 860  5.9363288  8.057873 2113.689 17031.84
## 861  5.7688820  8.137288 2103.349 17115.56
## 862  5.6035703  8.216072 2093.241 17198.21
## 863  5.4405882  8.294118 2083.369 17279.71
## 864  5.2801515  8.371305 2073.742 17359.92
## 865  5.1224994  8.447500 2064.368 17438.75
## 866  4.9678969  8.522557 2055.258 17516.05
## 867  4.8166378  8.596312 2046.422 17591.68
## 868  4.6690470  8.668585 2037.873 17665.48
## 869  4.5254834  8.739176 2029.626 17737.26
## 870  4.3863424  8.807865 2021.696 17806.83
## 871  4.2520583  8.874412 2014.102 17873.97
## 872  4.1231056  8.938552 2006.863 17938.45
## 873  4.0000000  9.000000 2000.000 18000.00
## 874  3.8832976  9.058446 1993.537 18058.35
## 875  3.7735925  9.113560 1987.500 18113.20
## 876  3.6715120  9.164993 1981.916 18164.24
## 877  3.5777088  9.212384 1976.811 18211.15
## 878  3.4928498  9.255361 1972.216 18253.58
## 879  3.4176015  9.293555 1968.160 18291.20
## 880  3.3526109  9.326605 1964.669 18323.69
## 881  3.2984845  9.354175 1961.772 18350.76
## 882  3.2557641  9.375964 1959.491 18372.12
## 883  3.2249031  9.391721 1957.847 18387.55
## 884  3.2062439  9.401253 1956.854 18396.88
## 885  3.2000000  9.404444 1956.522 18400.00
## 886  3.2062439  9.401253 1956.854 18396.88
## 887  3.2249031  9.391721 1957.847 18387.55
## 888  3.2557641  9.375964 1959.491 18372.12
## 889  3.2984845  9.354175 1961.772 18350.76
## 890  3.3526109  9.326605 1964.669 18323.69
## 891  3.4176015  9.293555 1968.160 18291.20
## 892  3.4928498  9.255361 1972.216 18253.58
## 893  3.5777088  9.212384 1976.811 18211.15
## 894  3.6715120  9.164993 1981.916 18164.24
## 895  3.7735925  9.113560 1987.500 18113.20
## 896  3.8832976  9.058446 1993.537 18058.35
## 897  4.0000000  9.000000 2000.000 18000.00
## 898  4.1231056  8.938552 2006.863 17938.45
## 899  4.2520583  8.874412 2014.102 17873.97
## 900  4.3863424  8.807865 2021.696 17806.83
## 901  4.5254834  8.739176 2029.626 17737.26
## 902  4.6690470  8.668585 2037.873 17665.48
## 903  4.8166378  8.596312 2046.422 17591.68
## 904  4.9678969  8.522557 2055.258 17516.05
## 905  5.1224994  8.447500 2064.368 17438.75
## 906  5.2801515  8.371305 2073.742 17359.92
## 907  5.4405882  8.294118 2083.369 17279.71
## 908  5.6035703  8.216072 2093.241 17198.21
## 909  5.7688820  8.137288 2103.349 17115.56
## 910  5.9363288  8.057873 2113.689 17031.84
## 911  6.1057350  7.977925 2124.253 16947.13
## 912  6.2769419  7.897532 2135.038 16861.53
## 913  6.4498062  7.816774 2146.038 16775.10
## 914  6.6241981  7.735723 2157.252 16687.90
## 915  6.8000000  7.654444 2168.675 16600.00
## 916  6.7082039  7.696831 2162.695 16645.90
## 917  6.5299311  7.779483 2151.176 16735.03
## 918  6.3529521  7.861971 2139.861 16823.52
## 919  6.1773781  7.944234 2128.753 16911.31
## 920  6.0033324  8.026204 2117.855 16998.33
## 921  5.8309519  8.107805 2107.170 17084.52
## 922  5.6603887  8.188951 2096.704 17169.81
## 923  5.4918121  8.269549 2086.461 17254.09
## 924  5.3254108  8.349494 2076.449 17337.29
## 925  5.1613952  8.428669 2066.673 17419.30
## 926  5.0000000  8.506944 2057.143 17500.00
## 927  4.8414874  8.584174 2047.868 17579.26
## 928  4.6861498  8.660195 2038.860 17656.93
## 929  4.5343136  8.734826 2030.131 17732.84
## 930  4.3863424  8.807865 2021.696 17806.83
## 931  4.2426407  8.879089 2013.572 17878.68
## 932  4.1036569  8.948246 2005.775 17948.17
## 933  3.9698866  9.015063 1998.328 18015.06
## 934  3.8418745  9.079236 1991.254 18079.06
## 935  3.7202150  9.140436 1984.576 18139.89
## 936  3.6055513  9.198305 1978.324 18197.22
## 937  3.4985711  9.252460 1972.526 18250.71
## 938  3.4000000  9.302500 1967.213 18300.00
## 939  3.3105891  9.348006 1962.419 18344.71
## 940  3.2310989  9.388556 1958.177 18384.45
## 941  3.1622777  9.423735 1954.518 18418.86
## 942  3.1048349  9.453147 1951.475 18447.58
## 943  3.0594117  9.476438 1949.076 18470.29
## 944  3.0265492  9.493306 1947.343 18486.73
## 945  3.0066593  9.503523 1946.296 18496.67
## 946  3.0000000  9.506944 1945.946 18500.00
## 947  3.0066593  9.503523 1946.296 18496.67
## 948  3.0265492  9.493306 1947.343 18486.73
## 949  3.0594117  9.476438 1949.076 18470.29
## 950  3.1048349  9.453147 1951.475 18447.58
## 951  3.1622777  9.423735 1954.518 18418.86
## 952  3.2310989  9.388556 1958.177 18384.45
## 953  3.3105891  9.348006 1962.419 18344.71
## 954  3.4000000  9.302500 1967.213 18300.00
## 955  3.4985711  9.252460 1972.526 18250.71
## 956  3.6055513  9.198305 1978.324 18197.22
## 957  3.7202150  9.140436 1984.576 18139.89
## 958  3.8418745  9.079236 1991.254 18079.06
## 959  3.9698866  9.015063 1998.328 18015.06
## 960  4.1036569  8.948246 2005.775 17948.17
## 961  4.2426407  8.879089 2013.572 17878.68
## 962  4.3863424  8.807865 2021.696 17806.83
## 963  4.5343136  8.734826 2030.131 17732.84
## 964  4.6861498  8.660195 2038.860 17656.93
## 965  4.8414874  8.584174 2047.868 17579.26
## 966  5.0000000  8.506944 2057.143 17500.00
## 967  5.1613952  8.428669 2066.673 17419.30
## 968  5.3254108  8.349494 2076.449 17337.29
## 969  5.4918121  8.269549 2086.461 17254.09
## 970  5.6603887  8.188951 2096.704 17169.81
## 971  5.8309519  8.107805 2107.170 17084.52
## 972  6.0033324  8.026204 2117.855 16998.33
## 973  6.1773781  7.944234 2128.753 16911.31
## 974  6.3529521  7.861971 2139.861 16823.52
## 975  6.5299311  7.779483 2151.176 16735.03
## 976  6.7082039  7.696831 2162.695 16645.90
## 977  6.6211781  7.737123 2157.056 16689.41
## 978  6.4404969  7.821113 2145.443 16779.75
## 979  6.2609903  7.905005 2134.028 16869.50
## 980  6.0827625  7.988743 2122.814 16958.62
## 981  5.9059292  8.072262 2111.804 17047.04
## 982  5.7306195  8.155489 2101.001 17134.69
## 983  5.5569776  8.238346 2090.409 17221.51
## 984  5.3851648  8.320742 2080.033 17307.42
## 985  5.2153619  8.402577 2069.879 17392.32
## 986  5.0477718  8.483738 2059.955 17476.11
## 987  4.8826222  8.564099 2050.267 17558.69
## 988  4.7201695  8.643517 2040.826 17639.92
## 989  4.5607017  8.721832 2031.643 17719.65
## 990  4.4045431  8.798865 2022.730 17797.73
## 991  4.2520583  8.874412 2014.102 17873.97
## 992  4.1036569  8.948246 2005.775 17948.17
## 993  3.9597980  9.020112 1997.769 18020.10
## 994  3.8209946  9.089725 1990.104 18089.50
## 995  3.6878178  9.156768 1982.806 18156.09
## 996  3.5608988  9.220890 1975.899 18219.55
## 997  3.4409301  9.281705 1969.416 18279.53
## 998  3.3286634  9.338798 1963.386 18335.67
## 999  3.2249031  9.391721 1957.847 18387.55
## 1000 3.1304952  9.440003 1952.833 18434.75
## 1001 3.0463092  9.483162 1948.385 18476.85
## 1002 2.9732137  9.520715 1944.538 18513.39
## 1003 2.9120440  9.552198 1941.331 18543.98
## 1004 2.8635642  9.577187 1938.797 18568.22
## 1005 2.8284271  9.595318 1936.964 18585.79
## 1006 2.8071338  9.606315 1935.855 18596.43
## 1007 2.8000000  9.610000 1935.484 18600.00
## 1008 2.8071338  9.606315 1935.855 18596.43
## 1009 2.8284271  9.595318 1936.964 18585.79
## 1010 2.8635642  9.577187 1938.797 18568.22
## 1011 2.9120440  9.552198 1941.331 18543.98
## 1012 2.9732137  9.520715 1944.538 18513.39
## 1013 3.0463092  9.483162 1948.385 18476.85
## 1014 3.1304952  9.440003 1952.833 18434.75
## 1015 3.2249031  9.391721 1957.847 18387.55
## 1016 3.3286634  9.338798 1963.386 18335.67
## 1017 3.4409301  9.281705 1969.416 18279.53
## 1018 3.5608988  9.220890 1975.899 18219.55
## 1019 3.6878178  9.156768 1982.806 18156.09
## 1020 3.8209946  9.089725 1990.104 18089.50
## 1021 3.9597980  9.020112 1997.769 18020.10
## 1022 4.1036569  8.948246 2005.775 17948.17
## 1023 4.2520583  8.874412 2014.102 17873.97
## 1024 4.4045431  8.798865 2022.730 17797.73
## 1025 4.5607017  8.721832 2031.643 17719.65
## 1026 4.7201695  8.643517 2040.826 17639.92
## 1027 4.8826222  8.564099 2050.267 17558.69
## 1028 5.0477718  8.483738 2059.955 17476.11
## 1029 5.2153619  8.402577 2069.879 17392.32
## 1030 5.3851648  8.320742 2080.033 17307.42
## 1031 5.5569776  8.238346 2090.409 17221.51
## 1032 5.7306195  8.155489 2101.001 17134.69
## 1033 5.9059292  8.072262 2111.804 17047.04
## 1034 6.0827625  7.988743 2122.814 16958.62
## 1035 6.2609903  7.905005 2134.028 16869.50
## 1036 6.4404969  7.821113 2145.443 16779.75
## 1037 6.6211781  7.737123 2157.056 16689.41
## 1038 6.5391131  7.775215 2151.766 16730.44
## 1039 6.3560994  7.860500 2140.061 16821.95
## 1040 6.1741396  7.945756 2128.549 16912.93
## 1041 5.9933296  8.030928 2117.232 17003.34
## 1042 5.8137767  8.115957 2106.112 17093.11
## 1043 5.6356011  8.200777 2095.192 17182.20
## 1044 5.4589376  8.285312 2084.476 17270.53
## 1045 5.2839379  8.369479 2073.968 17358.03
## 1046 5.1107729  8.453182 2063.674 17444.61
## 1047 4.9396356  8.536314 2053.601 17530.18
## 1048 4.7707442  8.618753 2043.756 17614.63
## 1049 4.6043458  8.700363 2034.148 17697.83
## 1050 4.4407207  8.780989 2024.788 17779.64
## 1051 4.2801869  8.860452 2015.688 17859.91
## 1052 4.1231056  8.938552 2006.863 17938.45
## 1053 3.9698866  9.015063 1998.328 18015.06
## 1054 3.8209946  9.089725 1990.104 18089.50
## 1055 3.6769553  9.162247 1982.213 18161.52
## 1056 3.5383612  9.232299 1974.678 18230.82
## 1057 3.4058773  9.299513 1967.529 18297.06
## 1058 3.2802439  9.363476 1960.797 18359.88
## 1059 3.1622777  9.423735 1954.518 18418.86
## 1060 3.0528675  9.479796 1948.730 18473.57
## 1061 2.9529646  9.531131 1943.475 18523.52
## 1062 2.8635642  9.577187 1938.797 18568.22
## 1063 2.7856777  9.617401 1934.739 18607.16
## 1064 2.7202941  9.651225 1931.346 18639.85
## 1065 2.6683328  9.678148 1928.658 18665.83
## 1066 2.6305893  9.697728 1926.710 18684.71
## 1067 2.6076810  9.709622 1925.529 18696.16
## 1068 2.6000000  9.713611 1925.134 18700.00
## 1069 2.6076810  9.709622 1925.529 18696.16
## 1070 2.6305893  9.697728 1926.710 18684.71
## 1071 2.6683328  9.678148 1928.658 18665.83
## 1072 2.7202941  9.651225 1931.346 18639.85
## 1073 2.7856777  9.617401 1934.739 18607.16
## 1074 2.8635642  9.577187 1938.797 18568.22
## 1075 2.9529646  9.531131 1943.475 18523.52
## 1076 3.0528675  9.479796 1948.730 18473.57
## 1077 3.1622777  9.423735 1954.518 18418.86
## 1078 3.2802439  9.363476 1960.797 18359.88
## 1079 3.4058773  9.299513 1967.529 18297.06
## 1080 3.5383612  9.232299 1974.678 18230.82
## 1081 3.6769553  9.162247 1982.213 18161.52
## 1082 3.8209946  9.089725 1990.104 18089.50
## 1083 3.9698866  9.015063 1998.328 18015.06
## 1084 4.1231056  8.938552 2006.863 17938.45
## 1085 4.2801869  8.860452 2015.688 17859.91
## 1086 4.4407207  8.780989 2024.788 17779.64
## 1087 4.6043458  8.700363 2034.148 17697.83
## 1088 4.7707442  8.618753 2043.756 17614.63
## 1089 4.9396356  8.536314 2053.601 17530.18
## 1090 5.1107729  8.453182 2063.674 17444.61
## 1091 5.2839379  8.369479 2073.968 17358.03
## 1092 5.4589376  8.285312 2084.476 17270.53
## 1093 5.6356011  8.200777 2095.192 17182.20
## 1094 5.8137767  8.115957 2106.112 17093.11
## 1095 5.9933296  8.030928 2117.232 17003.34
## 1096 6.1741396  7.945756 2128.549 16912.93
## 1097 6.3560994  7.860500 2140.061 16821.95
## 1098 6.5391131  7.775215 2151.766 16730.44
## 1099 6.4621978  7.811001 2146.831 16768.90
## 1100 6.2769419  7.897532 2135.038 16861.53
## 1101 6.0926185  7.984101 2123.431 16953.69
## 1102 5.9093147  8.070659 2112.014 17045.34
## 1103 5.7271284  8.157151 2100.787 17136.44
## 1104 5.5461698  8.243517 2089.753 17226.92
## 1105 5.3665631  8.329687 2078.916 17316.72
## 1106 5.1884487  8.415584 2068.279 17405.78
## 1107 5.0119856  8.501119 2057.848 17494.01
## 1108 4.8373546  8.586192 2047.628 17581.32
## 1109 4.6647615  8.670688 2037.626 17667.62
## 1110 4.4944410  8.754477 2027.851 17752.78
## 1111 4.3266615  8.837410 2018.314 17836.67
## 1112 4.1617304  8.919316 2009.026 17919.13
## 1113 4.0000000  9.000000 2000.000 18000.00
## 1114 3.8418745  9.079236 1991.254 18079.06
## 1115 3.6878178  9.156768 1982.806 18156.09
## 1116 3.5383612  9.232299 1974.678 18230.82
## 1117 3.3941125  9.305493 1966.897 18302.94
## 1118 3.2557641  9.375964 1959.491 18372.12
## 1119 3.1240999  9.443278 1952.495 18437.95
## 1120 3.0000000  9.506944 1945.946 18500.00
## 1121 2.8844410  9.566422 1939.887 18557.78
## 1122 2.7784888  9.621117 1934.365 18610.76
## 1123 2.6832816  9.670399 1929.430 18658.36
## 1124 2.6000000  9.713611 1925.134 18700.00
## 1125 2.5298221  9.750099 1921.528 18735.09
## 1126 2.4738634  9.779243 1918.663 18763.07
## 1127 2.4331050  9.800497 1916.581 18783.45
## 1128 2.4083189  9.813434 1915.317 18795.84
## 1129 2.4000000  9.817778 1914.894 18800.00
## 1130 2.4083189  9.813434 1915.317 18795.84
## 1131 2.4331050  9.800497 1916.581 18783.45
## 1132 2.4738634  9.779243 1918.663 18763.07
## 1133 2.5298221  9.750099 1921.528 18735.09
## 1134 2.6000000  9.713611 1925.134 18700.00
## 1135 2.6832816  9.670399 1929.430 18658.36
## 1136 2.7784888  9.621117 1934.365 18610.76
## 1137 2.8844410  9.566422 1939.887 18557.78
## 1138 3.0000000  9.506944 1945.946 18500.00
## 1139 3.1240999  9.443278 1952.495 18437.95
## 1140 3.2557641  9.375964 1959.491 18372.12
## 1141 3.3941125  9.305493 1966.897 18302.94
## 1142 3.5383612  9.232299 1974.678 18230.82
## 1143 3.6878178  9.156768 1982.806 18156.09
## 1144 3.8418745  9.079236 1991.254 18079.06
## 1145 4.0000000  9.000000 2000.000 18000.00
## 1146 4.1617304  8.919316 2009.026 17919.13
## 1147 4.3266615  8.837410 2018.314 17836.67
## 1148 4.4944410  8.754477 2027.851 17752.78
## 1149 4.6647615  8.670688 2037.626 17667.62
## 1150 4.8373546  8.586192 2047.628 17581.32
## 1151 5.0119856  8.501119 2057.848 17494.01
## 1152 5.1884487  8.415584 2068.279 17405.78
## 1153 5.3665631  8.329687 2078.916 17316.72
## 1154 5.5461698  8.243517 2089.753 17226.92
## 1155 5.7271284  8.157151 2100.787 17136.44
## 1156 5.9093147  8.070659 2112.014 17045.34
## 1157 6.0926185  7.984101 2123.431 16953.69
## 1158 6.2769419  7.897532 2135.038 16861.53
## 1159 6.4621978  7.811001 2146.831 16768.90
## 1160 6.3906181  7.844379 2142.259 16804.69
## 1161 6.2032250  7.932097 2130.381 16898.39
## 1162 6.0166436  8.019920 2118.684 16991.68
## 1163 5.8309519  8.107805 2107.170 17084.52
## 1164 5.6462377  8.195701 2095.840 17176.88
## 1165 5.4626001  8.283555 2084.697 17268.70
## 1166 5.2801515  8.371305 2073.742 17359.92
## 1167 5.0990195  8.458878 2062.979 17450.49
## 1168 4.9193496  8.546195 2052.413 17540.33
## 1169 4.7413078  8.633162 2042.050 17629.35
## 1170 4.5650849  8.719675 2031.894 17717.46
## 1171 4.3908997  8.805611 2021.955 17804.55
## 1172 4.2190046  8.890831 2012.241 17890.50
## 1173 4.0496913  8.975171 2002.764 17975.15
## 1174 3.8832976  9.058446 1993.537 18058.35
## 1175 3.7202150  9.140436 1984.576 18139.89
## 1176 3.5608988  9.220890 1975.899 18219.55
## 1177 3.4058773  9.299513 1967.529 18297.06
## 1178 3.2557641  9.375964 1959.491 18372.12
## 1179 3.1112698  9.449850 1951.816 18444.37
## 1180 2.9732137  9.520715 1944.538 18513.39
## 1181 2.8425341  9.588037 1937.699 18578.73
## 1182 2.7202941  9.651225 1931.346 18639.85
## 1183 2.6076810  9.709622 1925.529 18696.16
## 1184 2.5059928  9.762504 1920.307 18747.00
## 1185 2.4166092  9.809106 1915.740 18791.70
## 1186 2.3409400  9.848644 1911.891 18829.53
## 1187 2.2803509  9.880361 1908.819 18859.82
## 1188 2.2360680  9.903573 1906.581 18881.97
## 1189 2.2090722  9.917738 1905.219 18895.46
## 1190 2.2000000  9.922500 1904.762 18900.00
## 1191 2.2090722  9.917738 1905.219 18895.46
## 1192 2.2360680  9.903573 1906.581 18881.97
## 1193 2.2803509  9.880361 1908.819 18859.82
## 1194 2.3409400  9.848644 1911.891 18829.53
## 1195 2.4166092  9.809106 1915.740 18791.70
## 1196 2.5059928  9.762504 1920.307 18747.00
## 1197 2.6076810  9.709622 1925.529 18696.16
## 1198 2.7202941  9.651225 1931.346 18639.85
## 1199 2.8425341  9.588037 1937.699 18578.73
## 1200 2.9732137  9.520715 1944.538 18513.39
## 1201 3.1112698  9.449850 1951.816 18444.37
## 1202 3.2557641  9.375964 1959.491 18372.12
## 1203 3.4058773  9.299513 1967.529 18297.06
## 1204 3.5608988  9.220890 1975.899 18219.55
## 1205 3.7202150  9.140436 1984.576 18139.89
## 1206 3.8832976  9.058446 1993.537 18058.35
## 1207 4.0496913  8.975171 2002.764 17975.15
## 1208 4.2190046  8.890831 2012.241 17890.50
## 1209 4.3908997  8.805611 2021.955 17804.55
## 1210 4.5650849  8.719675 2031.894 17717.46
## 1211 4.7413078  8.633162 2042.050 17629.35
## 1212 4.9193496  8.546195 2052.413 17540.33
## 1213 5.0990195  8.458878 2062.979 17450.49
## 1214 5.2801515  8.371305 2073.742 17359.92
## 1215 5.4626001  8.283555 2084.697 17268.70
## 1216 5.6462377  8.195701 2095.840 17176.88
## 1217 5.8309519  8.107805 2107.170 17084.52
## 1218 6.0166436  8.019920 2118.684 16991.68
## 1219 6.2032250  7.932097 2130.381 16898.39
## 1220 6.3906181  7.844379 2142.259 16804.69
## 1221 6.3245553  7.875247 2138.056 16837.72
## 1222 6.1351447  7.964086 2126.098 16932.43
## 1223 5.9464275  8.053096 2114.316 17026.79
## 1224 5.7584720  8.142238 2102.710 17120.76
## 1225 5.5713553  8.231469 2091.282 17214.32
## 1226 5.3851648  8.320742 2080.033 17307.42
## 1227 5.2000000  8.410000 2068.966 17400.00
## 1228 5.0159745  8.499181 2058.082 17492.01
## 1229 4.8332184  8.588212 2047.387 17583.39
## 1230 4.6518813  8.677010 2036.884 17674.06
## 1231 4.4721360  8.765480 2026.578 17763.93
## 1232 4.2941821  8.853510 2016.478 17852.91
## 1233 4.1182521  8.940971 2006.591 17940.87
## 1234 3.9446166  9.027713 1996.928 18027.69
## 1235 3.7735925  9.113560 1987.500 18113.20
## 1236 3.6055513  9.198305 1978.324 18197.22
## 1237 3.4409301  9.281705 1969.416 18279.53
## 1238 3.2802439  9.363476 1960.797 18359.88
## 1239 3.1240999  9.443278 1952.495 18437.95
## 1240 2.9732137  9.520715 1944.538 18513.39
## 1241 2.8284271  9.595318 1936.964 18585.79
## 1242 2.6907248  9.666542 1929.815 18654.64
## 1243 2.5612497  9.733750 1923.141 18719.38
## 1244 2.4413111  9.796216 1917.000 18779.34
## 1245 2.3323808  9.853122 1911.456 18833.81
## 1246 2.2360680  9.903573 1906.581 18881.97
## 1247 2.1540659  9.946630 1902.450 18922.97
## 1248 2.0880613  9.981355 1899.138 18955.97
## 1249 2.0396078 10.006885 1896.714 18980.20
## 1250 2.0099751 10.022514 1895.234 18995.01
## 1251 2.0000000 10.027778 1894.737 19000.00
## 1252 2.0099751 10.022514 1895.234 18995.01
## 1253 2.0396078 10.006885 1896.714 18980.20
## 1254 2.0880613  9.981355 1899.138 18955.97
## 1255 2.1540659  9.946630 1902.450 18922.97
## 1256 2.2360680  9.903573 1906.581 18881.97
## 1257 2.3323808  9.853122 1911.456 18833.81
## 1258 2.4413111  9.796216 1917.000 18779.34
## 1259 2.5612497  9.733750 1923.141 18719.38
## 1260 2.6907248  9.666542 1929.815 18654.64
## 1261 2.8284271  9.595318 1936.964 18585.79
## 1262 2.9732137  9.520715 1944.538 18513.39
## 1263 3.1240999  9.443278 1952.495 18437.95
## 1264 3.2802439  9.363476 1960.797 18359.88
## 1265 3.4409301  9.281705 1969.416 18279.53
## 1266 3.6055513  9.198305 1978.324 18197.22
## 1267 3.7735925  9.113560 1987.500 18113.20
## 1268 3.9446166  9.027713 1996.928 18027.69
## 1269 4.1182521  8.940971 2006.591 17940.87
## 1270 4.2941821  8.853510 2016.478 17852.91
## 1271 4.4721360  8.765480 2026.578 17763.93
## 1272 4.6518813  8.677010 2036.884 17674.06
## 1273 4.8332184  8.588212 2047.387 17583.39
## 1274 5.0159745  8.499181 2058.082 17492.01
## 1275 5.2000000  8.410000 2068.966 17400.00
## 1276 5.3851648  8.320742 2080.033 17307.42
## 1277 5.5713553  8.231469 2091.282 17214.32
## 1278 5.7584720  8.142238 2102.710 17120.76
## 1279 5.9464275  8.053096 2114.316 17026.79
## 1280 6.1351447  7.964086 2126.098 16932.43
## 1281 6.3245553  7.875247 2138.056 16837.72
## 1282 6.2641839  7.903509 2134.230 16867.91
## 1283 6.0728906  7.993394 2122.197 16963.55
## 1284 5.8821765  8.083513 2110.334 17058.91
## 1285 5.6920998  8.173833 2098.642 17153.95
## 1286 5.5027266  8.264319 2087.121 17248.64
## 1287 5.3141321  8.354927 2075.773 17342.93
## 1288 5.1264022  8.445610 2064.599 17436.80
## 1289 4.9396356  8.536314 2053.601 17530.18
## 1290 4.7539457  8.626975 2042.782 17623.03
## 1291 4.5694639  8.717520 2032.145 17715.27
## 1292 4.3863424  8.807865 2021.696 17806.83
## 1293 4.2047592  8.897912 2011.441 17897.62
## 1294 4.0249224  8.987543 2001.386 17987.54
## 1295 3.8470768  9.076624 1991.540 18076.46
## 1296 3.6715120  9.164993 1981.916 18164.24
## 1297 3.4985711  9.252460 1972.526 18250.71
## 1298 3.3286634  9.338798 1963.386 18335.67
## 1299 3.1622777  9.423735 1954.518 18418.86
## 1300 3.0000000  9.506944 1945.946 18500.00
## 1301 2.8425341  9.588037 1937.699 18578.73
## 1302 2.6907248  9.666542 1929.815 18654.64
## 1303 2.5455844  9.741898 1922.337 18727.21
## 1304 2.4083189  9.813434 1915.317 18795.84
## 1305 2.2803509  9.880361 1908.819 18859.82
## 1306 2.1633308  9.941761 1902.916 18918.33
## 1307 2.0591260  9.996597 1897.690 18970.44
## 1308 1.9697716 10.043738 1893.231 19015.11
## 1309 1.8973666 10.082019 1889.633 19051.32
## 1310 1.8439089 10.110328 1886.986 19078.05
## 1311 1.8110770 10.127735 1885.363 19094.46
## 1312 1.8000000 10.133611 1884.817 19100.00
## 1313 1.8110770 10.127735 1885.363 19094.46
## 1314 1.8439089 10.110328 1886.986 19078.05
## 1315 1.8973666 10.082019 1889.633 19051.32
## 1316 1.9697716 10.043738 1893.231 19015.11
## 1317 2.0591260  9.996597 1897.690 18970.44
## 1318 2.1633308  9.941761 1902.916 18918.33
## 1319 2.2803509  9.880361 1908.819 18859.82
## 1320 2.4083189  9.813434 1915.317 18795.84
## 1321 2.5455844  9.741898 1922.337 18727.21
## 1322 2.6907248  9.666542 1929.815 18654.64
## 1323 2.8425341  9.588037 1937.699 18578.73
## 1324 3.0000000  9.506944 1945.946 18500.00
## 1325 3.1622777  9.423735 1954.518 18418.86
## 1326 3.3286634  9.338798 1963.386 18335.67
## 1327 3.4985711  9.252460 1972.526 18250.71
## 1328 3.6715120  9.164993 1981.916 18164.24
## 1329 3.8470768  9.076624 1991.540 18076.46
## 1330 4.0249224  8.987543 2001.386 17987.54
## 1331 4.2047592  8.897912 2011.441 17897.62
## 1332 4.3863424  8.807865 2021.696 17806.83
## 1333 4.5694639  8.717520 2032.145 17715.27
## 1334 4.7539457  8.626975 2042.782 17623.03
## 1335 4.9396356  8.536314 2053.601 17530.18
## 1336 5.1264022  8.445610 2064.599 17436.80
## 1337 5.3141321  8.354927 2075.773 17342.93
## 1338 5.5027266  8.264319 2087.121 17248.64
## 1339 5.6920998  8.173833 2098.642 17153.95
## 1340 5.8821765  8.083513 2110.334 17058.91
## 1341 6.0728906  7.993394 2122.197 16963.55
## 1342 6.2641839  7.903509 2134.230 16867.91
## 1343 6.2096699  7.929072 2130.787 16895.17
## 1344 6.0166436  8.019920 2118.684 16991.68
## 1345 5.8240879  8.111062 2106.747 17087.96
## 1346 5.6320511  8.202472 2094.975 17183.97
## 1347 5.4405882  8.294118 2083.369 17279.71
## 1348 5.2497619  8.385966 2071.928 17375.12
## 1349 5.0596443  8.477975 2060.654 17470.18
## 1350 4.8703183  8.570101 2049.549 17564.84
## 1351 4.6818800  8.662289 2038.614 17659.06
## 1352 4.4944410  8.754477 2027.851 17752.78
## 1353 4.3081318  8.846593 2017.266 17845.93
## 1354 4.1231056  8.938552 2006.863 17938.45
## 1355 3.9395431  9.030254 1996.647 18030.23
## 1356 3.7576588  9.121578 1986.627 18121.17
## 1357 3.5777088  9.212384 1976.811 18211.15
## 1358 3.4000000  9.302500 1967.213 18300.00
## 1359 3.2249031  9.391721 1957.847 18387.55
## 1360 3.0528675  9.479796 1948.730 18473.57
## 1361 2.8844410  9.566422 1939.887 18557.78
## 1362 2.7202941  9.651225 1931.346 18639.85
## 1363 2.5612497  9.733750 1923.141 18719.38
## 1364 2.4083189  9.813434 1915.317 18795.84
## 1365 2.2627417  9.889588 1907.929 18868.63
## 1366 2.1260292  9.961373 1901.042 18936.99
## 1367 2.0000000 10.027778 1894.737 19000.00
## 1368 1.8867962 10.087613 1889.109 19056.60
## 1369 1.7888544 10.139525 1884.267 19105.57
## 1370 1.7088007 10.182055 1880.328 19145.60
## 1371 1.6492423 10.213754 1877.407 19175.38
## 1372 1.6124515 10.233360 1875.608 19193.77
## 1373 1.6000000 10.240000 1875.000 19200.00
## 1374 1.6124515 10.233360 1875.608 19193.77
## 1375 1.6492423 10.213754 1877.407 19175.38
## 1376 1.7088007 10.182055 1880.328 19145.60
## 1377 1.7888544 10.139525 1884.267 19105.57
## 1378 1.8867962 10.087613 1889.109 19056.60
## 1379 2.0000000 10.027778 1894.737 19000.00
## 1380 2.1260292  9.961373 1901.042 18936.99
## 1381 2.2627417  9.889588 1907.929 18868.63
## 1382 2.4083189  9.813434 1915.317 18795.84
## 1383 2.5612497  9.733750 1923.141 18719.38
## 1384 2.7202941  9.651225 1931.346 18639.85
## 1385 2.8844410  9.566422 1939.887 18557.78
## 1386 3.0528675  9.479796 1948.730 18473.57
## 1387 3.2249031  9.391721 1957.847 18387.55
## 1388 3.4000000  9.302500 1967.213 18300.00
## 1389 3.5777088  9.212384 1976.811 18211.15
## 1390 3.7576588  9.121578 1986.627 18121.17
## 1391 3.9395431  9.030254 1996.647 18030.23
## 1392 4.1231056  8.938552 2006.863 17938.45
## 1393 4.3081318  8.846593 2017.266 17845.93
## 1394 4.4944410  8.754477 2027.851 17752.78
## 1395 4.6818800  8.662289 2038.614 17659.06
## 1396 4.8703183  8.570101 2049.549 17564.84
## 1397 5.0596443  8.477975 2060.654 17470.18
## 1398 5.2497619  8.385966 2071.928 17375.12
## 1399 5.4405882  8.294118 2083.369 17279.71
## 1400 5.6320511  8.202472 2094.975 17183.97
## 1401 5.8240879  8.111062 2106.747 17087.96
## 1402 6.0166436  8.019920 2118.684 16991.68
## 1403 6.2096699  7.929072 2130.787 16895.17
## 1404 6.1611687  7.951851 2127.733 16919.42
## 1405 5.9665736  8.043570 2115.567 17016.71
## 1406 5.7723479  8.135640 2103.562 17113.83
## 1407 5.5785303  8.228039 2091.718 17210.73
## 1408 5.3851648  8.320742 2080.033 17307.42
## 1409 5.1923020  8.413721 2068.508 17403.85
## 1410 5.0000000  8.506944 2057.143 17500.00
## 1411 4.8083261  8.600374 2045.938 17595.84
## 1412 4.6173586  8.693967 2034.896 17691.32
## 1413 4.4271887  8.787673 2024.018 17786.41
## 1414 4.2379240  8.881431 2013.306 17881.04
## 1415 4.0496913  8.975171 2002.764 17975.15
## 1416 3.8626416  9.068810 1992.398 18068.68
## 1417 3.6769553  9.162247 1982.213 18161.52
## 1418 3.4928498  9.255361 1972.216 18253.58
## 1419 3.3105891  9.348006 1962.419 18344.71
## 1420 3.1304952  9.440003 1952.833 18434.75
## 1421 2.9529646  9.531131 1943.475 18523.52
## 1422 2.7784888  9.621117 1934.365 18610.76
## 1423 2.6076810  9.709622 1925.529 18696.16
## 1424 2.4413111  9.796216 1917.000 18779.34
## 1425 2.2803509  9.880361 1908.819 18859.82
## 1426 2.1260292  9.961373 1901.042 18936.99
## 1427 1.9798990 10.038389 1893.735 19010.05
## 1428 1.8439089 10.110328 1886.986 19078.05
## 1429 1.7204651 10.175853 1880.901 19139.77
## 1430 1.6124515 10.233360 1875.608 19193.77
## 1431 1.5231546 10.281025 1871.255 19238.42
## 1432 1.4560220 10.316932 1867.996 19271.99
## 1433 1.4142136 10.339326 1865.972 19292.89
## 1434 1.4000000 10.346944 1865.285 19300.00
## 1435 1.4142136 10.339326 1865.972 19292.89
## 1436 1.4560220 10.316932 1867.996 19271.99
## 1437 1.5231546 10.281025 1871.255 19238.42
## 1438 1.6124515 10.233360 1875.608 19193.77
## 1439 1.7204651 10.175853 1880.901 19139.77
## 1440 1.8439089 10.110328 1886.986 19078.05
## 1441 1.9798990 10.038389 1893.735 19010.05
## 1442 2.1260292  9.961373 1901.042 18936.99
## 1443 2.2803509  9.880361 1908.819 18859.82
## 1444 2.4413111  9.796216 1917.000 18779.34
## 1445 2.6076810  9.709622 1925.529 18696.16
## 1446 2.7784888  9.621117 1934.365 18610.76
## 1447 2.9529646  9.531131 1943.475 18523.52
## 1448 3.1304952  9.440003 1952.833 18434.75
## 1449 3.3105891  9.348006 1962.419 18344.71
## 1450 3.4928498  9.255361 1972.216 18253.58
## 1451 3.6769553  9.162247 1982.213 18161.52
## 1452 3.8626416  9.068810 1992.398 18068.68
## 1453 4.0496913  8.975171 2002.764 17975.15
## 1454 4.2379240  8.881431 2013.306 17881.04
## 1455 4.4271887  8.787673 2024.018 17786.41
## 1456 4.6173586  8.693967 2034.896 17691.32
## 1457 4.8083261  8.600374 2045.938 17595.84
## 1458 5.0000000  8.506944 2057.143 17500.00
## 1459 5.1923020  8.413721 2068.508 17403.85
## 1460 5.3851648  8.320742 2080.033 17307.42
## 1461 5.5785303  8.228039 2091.718 17210.73
## 1462 5.7723479  8.135640 2103.562 17113.83
## 1463 5.9665736  8.043570 2115.567 17016.71
## 1464 6.1611687  7.951851 2127.733 16919.42
## 1465 6.1188234  7.971765 2125.074 16940.59
## 1466 5.9228372  8.064257 2112.852 17038.58
## 1467 5.7271284  8.157151 2100.787 17136.44
## 1468 5.5317267  8.250430 2088.877 17234.14
## 1469 5.3366656  8.344075 2077.123 17331.67
## 1470 5.1419841  8.438064 2065.522 17429.01
## 1471 4.9477268  8.532374 2054.075 17526.14
## 1472 4.7539457  8.626975 2042.782 17623.03
## 1473 4.5607017  8.721832 2031.643 17719.65
## 1474 4.3680659  8.816908 2020.659 17815.97
## 1475 4.1761226  8.912154 2009.833 17911.94
## 1476 3.9849718  9.007516 1999.165 18007.51
## 1477 3.7947332  9.102926 1988.661 18102.63
## 1478 3.6055513  9.198305 1978.324 18197.22
## 1479 3.4176015  9.293555 1968.160 18291.20
## 1480 3.2310989  9.388556 1958.177 18384.45
## 1481 3.0463092  9.483162 1948.385 18476.85
## 1482 2.8635642  9.577187 1938.797 18568.22
## 1483 2.6832816  9.670399 1929.430 18658.36
## 1484 2.5059928  9.762504 1920.307 18747.00
## 1485 2.3323808  9.853122 1911.456 18833.81
## 1486 2.1633308  9.941761 1902.916 18918.33
## 1487 2.0000000 10.027778 1894.737 19000.00
## 1488 1.8439089 10.110328 1886.986 19078.05
## 1489 1.6970563 10.188302 1879.751 19151.47
## 1490 1.5620499 10.260250 1873.149 19218.98
## 1491 1.4422205 10.324322 1867.327 19278.89
## 1492 1.3416408 10.378255 1862.469 19329.18
## 1493 1.2649111 10.419494 1858.780 19367.54
## 1494 1.2165525 10.445526 1856.462 19391.72
## 1495 1.2000000 10.454444 1855.670 19400.00
## 1496 1.2165525 10.445526 1856.462 19391.72
## 1497 1.2649111 10.419494 1858.780 19367.54
## 1498 1.3416408 10.378255 1862.469 19329.18
## 1499 1.4422205 10.324322 1867.327 19278.89
## 1500 1.5620499 10.260250 1873.149 19218.98
## 1501 1.6970563 10.188302 1879.751 19151.47
## 1502 1.8439089 10.110328 1886.986 19078.05
## 1503 2.0000000 10.027778 1894.737 19000.00
## 1504 2.1633308  9.941761 1902.916 18918.33
## 1505 2.3323808  9.853122 1911.456 18833.81
## 1506 2.5059928  9.762504 1920.307 18747.00
## 1507 2.6832816  9.670399 1929.430 18658.36
## 1508 2.8635642  9.577187 1938.797 18568.22
## 1509 3.0463092  9.483162 1948.385 18476.85
## 1510 3.2310989  9.388556 1958.177 18384.45
## 1511 3.4176015  9.293555 1968.160 18291.20
## 1512 3.6055513  9.198305 1978.324 18197.22
## 1513 3.7947332  9.102926 1988.661 18102.63
## 1514 3.9849718  9.007516 1999.165 18007.51
## 1515 4.1761226  8.912154 2009.833 17911.94
## 1516 4.3680659  8.816908 2020.659 17815.97
## 1517 4.5607017  8.721832 2031.643 17719.65
## 1518 4.7539457  8.626975 2042.782 17623.03
## 1519 4.9477268  8.532374 2054.075 17526.14
## 1520 5.1419841  8.438064 2065.522 17429.01
## 1521 5.3366656  8.344075 2077.123 17331.67
## 1522 5.5317267  8.250430 2088.877 17234.14
## 1523 5.7271284  8.157151 2100.787 17136.44
## 1524 5.9228372  8.064257 2112.852 17038.58
## 1525 6.1188234  7.971765 2125.074 16940.59
## 1526 6.0827625  7.988743 2122.814 16958.62
## 1527 5.8855756  8.081902 2110.544 17057.21
## 1528 5.6885851  8.175508 2098.427 17155.71
## 1529 5.4918121  8.269549 2086.461 17254.09
## 1530 5.2952809  8.364011 2074.646 17352.36
## 1531 5.0990195  8.458878 2062.979 17450.49
## 1532 4.9030603  8.554133 2051.461 17548.47
## 1533 4.7074409  8.649755 2040.090 17646.28
## 1534 4.5122057  8.745719 2028.867 17743.90
## 1535 4.3174066  8.841996 2017.791 17841.30
## 1536 4.1231056  8.938552 2006.863 17938.45
## 1537 3.9293765  9.035346 1996.084 18035.31
## 1538 3.7363083  9.132329 1985.457 18131.85
## 1539 3.5440090  9.229439 1974.984 18228.00
## 1540 3.3526109  9.326605 1964.669 18323.69
## 1541 3.1622777  9.423735 1954.518 18418.86
## 1542 2.9732137  9.520715 1944.538 18513.39
## 1543 2.7856777  9.617401 1934.739 18607.16
## 1544 2.6000000  9.713611 1925.134 18700.00
## 1545 2.4166092  9.809106 1915.740 18791.70
## 1546 2.2360680  9.903573 1906.581 18881.97
## 1547 2.0591260  9.996597 1897.690 18970.44
## 1548 1.8867962 10.087613 1889.109 19056.60
## 1549 1.7204651 10.175853 1880.901 19139.77
## 1550 1.5620499 10.260250 1873.149 19218.98
## 1551 1.4142136 10.339326 1865.972 19292.89
## 1552 1.2806248 10.411042 1859.534 19359.69
## 1553 1.1661904 10.472672 1854.055 19416.90
## 1554 1.0770330 10.520815 1849.808 19461.48
## 1555 1.0198039 10.551776 1847.092 19490.10
## 1556 1.0000000 10.562500 1846.154 19500.00
## 1557 1.0198039 10.551776 1847.092 19490.10
## 1558 1.0770330 10.520815 1849.808 19461.48
## 1559 1.1661904 10.472672 1854.055 19416.90
## 1560 1.2806248 10.411042 1859.534 19359.69
## 1561 1.4142136 10.339326 1865.972 19292.89
## 1562 1.5620499 10.260250 1873.149 19218.98
## 1563 1.7204651 10.175853 1880.901 19139.77
## 1564 1.8867962 10.087613 1889.109 19056.60
## 1565 2.0591260  9.996597 1897.690 18970.44
## 1566 2.2360680  9.903573 1906.581 18881.97
## 1567 2.4166092  9.809106 1915.740 18791.70
## 1568 2.6000000  9.713611 1925.134 18700.00
## 1569 2.7856777  9.617401 1934.739 18607.16
## 1570 2.9732137  9.520715 1944.538 18513.39
## 1571 3.1622777  9.423735 1954.518 18418.86
## 1572 3.3526109  9.326605 1964.669 18323.69
## 1573 3.5440090  9.229439 1974.984 18228.00
## 1574 3.7363083  9.132329 1985.457 18131.85
## 1575 3.9293765  9.035346 1996.084 18035.31
## 1576 4.1231056  8.938552 2006.863 17938.45
## 1577 4.3174066  8.841996 2017.791 17841.30
## 1578 4.5122057  8.745719 2028.867 17743.90
## 1579 4.7074409  8.649755 2040.090 17646.28
## 1580 4.9030603  8.554133 2051.461 17548.47
## 1581 5.0990195  8.458878 2062.979 17450.49
## 1582 5.2952809  8.364011 2074.646 17352.36
## 1583 5.4918121  8.269549 2086.461 17254.09
## 1584 5.6885851  8.175508 2098.427 17155.71
## 1585 5.8855756  8.081902 2110.544 17057.21
## 1586 6.0827625  7.988743 2122.814 16958.62
## 1587 6.0530984  8.002723 2120.959 16973.45
## 1588 5.8549125  8.096438 2108.649 17072.54
## 1589 5.6568542  8.190637 2096.488 17171.57
## 1590 5.4589376  8.285312 2084.476 17270.53
## 1591 5.2611786  8.380456 2072.609 17369.41
## 1592 5.0635956  8.476058 2060.888 17468.20
## 1593 4.8662100  8.572106 2049.309 17566.89
## 1594 4.6690470  8.668585 2037.873 17665.48
## 1595 4.4721360  8.765480 2026.578 17763.93
## 1596 4.2755117  8.862771 2015.424 17862.24
## 1597 4.0792156  8.960436 2004.411 17960.39
## 1598 3.8832976  9.058446 1993.537 18058.35
## 1599 3.6878178  9.156768 1982.806 18156.09
## 1600 3.4928498  9.255361 1972.216 18253.58
## 1601 3.2984845  9.354175 1961.772 18350.76
## 1602 3.1048349  9.453147 1951.475 18447.58
## 1603 2.9120440  9.552198 1941.331 18543.98
## 1604 2.7202941  9.651225 1931.346 18639.85
## 1605 2.5298221  9.750099 1921.528 18735.09
## 1606 2.3409400  9.848644 1911.891 18829.53
## 1607 2.1540659  9.946630 1902.450 18922.97
## 1608 1.9697716 10.043738 1893.231 19015.11
## 1609 1.7888544 10.139525 1884.267 19105.57
## 1610 1.6124515 10.233360 1875.608 19193.77
## 1611 1.4422205 10.324322 1867.327 19278.89
## 1612 1.2806248 10.411042 1859.534 19359.69
## 1613 1.1313708 10.491461 1852.394 19434.31
## 1614 1.0000000 10.562500 1846.154 19500.00
## 1615 0.8944272 10.619763 1841.170 19552.79
## 1616 0.8246211 10.657710 1837.889 19587.69
## 1617 0.8000000 10.671111 1836.735 19600.00
## 1618 0.8246211 10.657710 1837.889 19587.69
## 1619 0.8944272 10.619763 1841.170 19552.79
## 1620 1.0000000 10.562500 1846.154 19500.00
## 1621 1.1313708 10.491461 1852.394 19434.31
## 1622 1.2806248 10.411042 1859.534 19359.69
## 1623 1.4422205 10.324322 1867.327 19278.89
## 1624 1.6124515 10.233360 1875.608 19193.77
## 1625 1.7888544 10.139525 1884.267 19105.57
## 1626 1.9697716 10.043738 1893.231 19015.11
## 1627 2.1540659  9.946630 1902.450 18922.97
## 1628 2.3409400  9.848644 1911.891 18829.53
## 1629 2.5298221  9.750099 1921.528 18735.09
## 1630 2.7202941  9.651225 1931.346 18639.85
## 1631 2.9120440  9.552198 1941.331 18543.98
## 1632 3.1048349  9.453147 1951.475 18447.58
## 1633 3.2984845  9.354175 1961.772 18350.76
## 1634 3.4928498  9.255361 1972.216 18253.58
## 1635 3.6878178  9.156768 1982.806 18156.09
## 1636 3.8832976  9.058446 1993.537 18058.35
## 1637 4.0792156  8.960436 2004.411 17960.39
## 1638 4.2755117  8.862771 2015.424 17862.24
## 1639 4.4721360  8.765480 2026.578 17763.93
## 1640 4.6690470  8.668585 2037.873 17665.48
## 1641 4.8662100  8.572106 2049.309 17566.89
## 1642 5.0635956  8.476058 2060.888 17468.20
## 1643 5.2611786  8.380456 2072.609 17369.41
## 1644 5.4589376  8.285312 2084.476 17270.53
## 1645 5.6568542  8.190637 2096.488 17171.57
## 1646 5.8549125  8.096438 2108.649 17072.54
## 1647 6.0530984  8.002723 2120.959 16973.45
## 1648 6.0299254  8.013653 2119.513 16985.04
## 1649 5.8309519  8.107805 2107.170 17084.52
## 1650 5.6320511  8.202472 2094.975 17183.97
## 1651 5.4332311  8.297649 2082.925 17283.38
## 1652 5.2345009  8.393333 2071.019 17382.75
## 1653 5.0358713  8.489516 2059.253 17482.06
## 1654 4.8373546  8.586192 2047.628 17581.32
## 1655 4.6389654  8.683353 2036.140 17680.52
## 1656 4.4407207  8.780989 2024.788 17779.64
## 1657 4.2426407  8.879089 2013.572 17878.68
## 1658 4.0447497  8.977639 2002.489 17977.63
## 1659 3.8470768  9.076624 1991.540 18076.46
## 1660 3.6496575  9.176024 1980.724 18175.17
## 1661 3.4525353  9.275814 1970.041 18273.73
## 1662 3.2557641  9.375964 1959.491 18372.12
## 1663 3.0594117  9.476438 1949.076 18470.29
## 1664 2.8635642  9.577187 1938.797 18568.22
## 1665 2.6683328  9.678148 1928.658 18665.83
## 1666 2.4738634  9.779243 1918.663 18763.07
## 1667 2.2803509  9.880361 1908.819 18859.82
## 1668 2.0880613  9.981355 1899.138 18955.97
## 1669 1.8973666 10.082019 1889.633 19051.32
## 1670 1.7088007 10.182055 1880.328 19145.60
## 1671 1.5231546 10.281025 1871.255 19238.42
## 1672 1.3416408 10.378255 1862.469 19329.18
## 1673 1.1661904 10.472672 1854.055 19416.90
## 1674 1.0000000 10.562500 1846.154 19500.00
## 1675 0.8485281 10.644707 1839.011 19575.74
## 1676 0.7211103 10.714105 1833.046 19639.44
## 1677 0.6324555 10.762525 1828.918 19683.77
## 1678 0.6000000 10.780278 1827.411 19700.00
## 1679 0.6324555 10.762525 1828.918 19683.77
## 1680 0.7211103 10.714105 1833.046 19639.44
## 1681 0.8485281 10.644707 1839.011 19575.74
## 1682 1.0000000 10.562500 1846.154 19500.00
## 1683 1.1661904 10.472672 1854.055 19416.90
## 1684 1.3416408 10.378255 1862.469 19329.18
## 1685 1.5231546 10.281025 1871.255 19238.42
## 1686 1.7088007 10.182055 1880.328 19145.60
## 1687 1.8973666 10.082019 1889.633 19051.32
## 1688 2.0880613  9.981355 1899.138 18955.97
## 1689 2.2803509  9.880361 1908.819 18859.82
## 1690 2.4738634  9.779243 1918.663 18763.07
## 1691 2.6683328  9.678148 1928.658 18665.83
## 1692 2.8635642  9.577187 1938.797 18568.22
## 1693 3.0594117  9.476438 1949.076 18470.29
## 1694 3.2557641  9.375964 1959.491 18372.12
## 1695 3.4525353  9.275814 1970.041 18273.73
## 1696 3.6496575  9.176024 1980.724 18175.17
## 1697 3.8470768  9.076624 1991.540 18076.46
## 1698 4.0447497  8.977639 2002.489 17977.63
## 1699 4.2426407  8.879089 2013.572 17878.68
## 1700 4.4407207  8.780989 2024.788 17779.64
## 1701 4.6389654  8.683353 2036.140 17680.52
## 1702 4.8373546  8.586192 2047.628 17581.32
## 1703 5.0358713  8.489516 2059.253 17482.06
## 1704 5.2345009  8.393333 2071.019 17382.75
## 1705 5.4332311  8.297649 2082.925 17283.38
## 1706 5.6320511  8.202472 2094.975 17183.97
## 1707 5.8309519  8.107805 2107.170 17084.52
## 1708 6.0299254  8.013653 2119.513 16985.04
## 1709 6.0133186  8.021490 2118.477 16993.34
## 1710 5.8137767  8.115957 2106.112 17093.11
## 1711 5.6142675  8.210962 2093.892 17192.87
## 1712 5.4147945  8.306503 2081.815 17292.60
## 1713 5.2153619  8.402577 2069.879 17392.32
## 1714 5.0159745  8.499181 2058.082 17492.01
## 1715 4.8166378  8.596312 2046.422 17591.68
## 1716 4.6173586  8.693967 2034.896 17691.32
## 1717 4.4181444  8.792142 2023.503 17790.93
## 1718 4.2190046  8.890831 2012.241 17890.50
## 1719 4.0199502  8.990028 2001.109 17990.02
## 1720 3.8209946  9.089725 1990.104 18089.50
## 1721 3.6221541  9.189914 1979.227 18188.92
## 1722 3.4234486  9.290584 1968.474 18288.28
## 1723 3.2249031  9.391721 1957.847 18387.55
## 1724 3.0265492  9.493306 1947.343 18486.73
## 1725 2.8284271  9.595318 1936.964 18585.79
## 1726 2.6305893  9.697728 1926.710 18684.71
## 1727 2.4331050  9.800497 1916.581 18783.45
## 1728 2.2360680  9.903573 1906.581 18881.97
## 1729 2.0396078 10.006885 1896.714 18980.20
## 1730 1.8439089 10.110328 1886.986 19078.05
## 1731 1.6492423 10.213754 1877.407 19175.38
## 1732 1.4560220 10.316932 1867.996 19271.99
## 1733 1.2649111 10.419494 1858.780 19367.54
## 1734 1.0770330 10.520815 1849.808 19461.48
## 1735 0.8944272 10.619763 1841.170 19552.79
## 1736 0.7211103 10.714105 1833.046 19639.44
## 1737 0.5656854 10.799064 1825.821 19717.16
## 1738 0.4472136 10.864048 1820.352 19776.39
## 1739 0.4000000 10.890000 1818.182 19800.00
## 1740 0.4472136 10.864048 1820.352 19776.39
## 1741 0.5656854 10.799064 1825.821 19717.16
## 1742 0.7211103 10.714105 1833.046 19639.44
## 1743 0.8944272 10.619763 1841.170 19552.79
## 1744 1.0770330 10.520815 1849.808 19461.48
## 1745 1.2649111 10.419494 1858.780 19367.54
## 1746 1.4560220 10.316932 1867.996 19271.99
## 1747 1.6492423 10.213754 1877.407 19175.38
## 1748 1.8439089 10.110328 1886.986 19078.05
## 1749 2.0396078 10.006885 1896.714 18980.20
## 1750 2.2360680  9.903573 1906.581 18881.97
## 1751 2.4331050  9.800497 1916.581 18783.45
## 1752 2.6305893  9.697728 1926.710 18684.71
## 1753 2.8284271  9.595318 1936.964 18585.79
## 1754 3.0265492  9.493306 1947.343 18486.73
## 1755 3.2249031  9.391721 1957.847 18387.55
## 1756 3.4234486  9.290584 1968.474 18288.28
## 1757 3.6221541  9.189914 1979.227 18188.92
## 1758 3.8209946  9.089725 1990.104 18089.50
## 1759 4.0199502  8.990028 2001.109 17990.02
## 1760 4.2190046  8.890831 2012.241 17890.50
## 1761 4.4181444  8.792142 2023.503 17790.93
## 1762 4.6173586  8.693967 2034.896 17691.32
## 1763 4.8166378  8.596312 2046.422 17591.68
## 1764 5.0159745  8.499181 2058.082 17492.01
## 1765 5.2153619  8.402577 2069.879 17392.32
## 1766 5.4147945  8.306503 2081.815 17292.60
## 1767 5.6142675  8.210962 2093.892 17192.87
## 1768 5.8137767  8.115957 2106.112 17093.11
## 1769 6.0133186  8.021490 2118.477 16993.34
## 1770 6.0033324  8.026204 2117.855 16998.33
## 1771 5.8034473  8.120863 2105.475 17098.28
## 1772 5.6035703  8.216072 2093.241 17198.21
## 1773 5.4037024  8.311832 2081.148 17298.15
## 1774 5.2038447  8.408142 2069.194 17398.08
## 1775 5.0039984  8.505001 2057.378 17498.00
## 1776 4.8041649  8.602408 2045.697 17597.92
## 1777 4.6043458  8.700363 2034.148 17697.83
## 1778 4.4045431  8.798865 2022.730 17797.73
## 1779 4.2047592  8.897912 2011.441 17897.62
## 1780 4.0049969  8.997502 2000.278 17997.50
## 1781 3.8052595  9.097634 1989.239 18097.37
## 1782 3.6055513  9.198305 1978.324 18197.22
## 1783 3.4058773  9.299513 1967.529 18297.06
## 1784 3.2062439  9.401253 1956.854 18396.88
## 1785 3.0066593  9.503523 1946.296 18496.67
## 1786 2.8071338  9.606315 1935.855 18596.43
## 1787 2.6076810  9.709622 1925.529 18696.16
## 1788 2.4083189  9.813434 1915.317 18795.84
## 1789 2.2090722  9.917738 1905.219 18895.46
## 1790 2.0099751 10.022514 1895.234 18995.01
## 1791 1.8110770 10.127735 1885.363 19094.46
## 1792 1.6124515 10.233360 1875.608 19193.77
## 1793 1.4142136 10.339326 1865.972 19292.89
## 1794 1.2165525 10.445526 1856.462 19391.72
## 1795 1.0198039 10.551776 1847.092 19490.10
## 1796 0.8246211 10.657710 1837.889 19587.69
## 1797 0.6324555 10.762525 1828.918 19683.77
## 1798 0.4472136 10.864048 1820.352 19776.39
## 1799 0.2828427 10.954532 1812.819 19858.58
## 1800 0.2000000 11.000278 1809.045 19900.00
## 1801 0.2828427 10.954532 1812.819 19858.58
## 1802 0.4472136 10.864048 1820.352 19776.39
## 1803 0.6324555 10.762525 1828.918 19683.77
## 1804 0.8246211 10.657710 1837.889 19587.69
## 1805 1.0198039 10.551776 1847.092 19490.10
## 1806 1.2165525 10.445526 1856.462 19391.72
## 1807 1.4142136 10.339326 1865.972 19292.89
## 1808 1.6124515 10.233360 1875.608 19193.77
## 1809 1.8110770 10.127735 1885.363 19094.46
## 1810 2.0099751 10.022514 1895.234 18995.01
## 1811 2.2090722  9.917738 1905.219 18895.46
## 1812 2.4083189  9.813434 1915.317 18795.84
## 1813 2.6076810  9.709622 1925.529 18696.16
## 1814 2.8071338  9.606315 1935.855 18596.43
## 1815 3.0066593  9.503523 1946.296 18496.67
## 1816 3.2062439  9.401253 1956.854 18396.88
## 1817 3.4058773  9.299513 1967.529 18297.06
## 1818 3.6055513  9.198305 1978.324 18197.22
## 1819 3.8052595  9.097634 1989.239 18097.37
## 1820 4.0049969  8.997502 2000.278 17997.50
## 1821 4.2047592  8.897912 2011.441 17897.62
## 1822 4.4045431  8.798865 2022.730 17797.73
## 1823 4.6043458  8.700363 2034.148 17697.83
## 1824 4.8041649  8.602408 2045.697 17597.92
## 1825 5.0039984  8.505001 2057.378 17498.00
## 1826 5.2038447  8.408142 2069.194 17398.08
## 1827 5.4037024  8.311832 2081.148 17298.15
## 1828 5.6035703  8.216072 2093.241 17198.21
## 1829 5.8034473  8.120863 2105.475 17098.28
## 1830 6.0033324  8.026204 2117.855 16998.33
## 1831 6.0000000  8.027778 2117.647 17000.00
## 1832 5.8000000  8.122500 2105.263 17100.00
## 1833 5.6000000  8.217778 2093.023 17200.00
## 1834 5.4000000  8.313611 2080.925 17300.00
## 1835 5.2000000  8.410000 2068.966 17400.00
## 1836 5.0000000  8.506944 2057.143 17500.00
## 1837 4.8000000  8.604444 2045.455 17600.00
## 1838 4.6000000  8.702500 2033.898 17700.00
## 1839 4.4000000  8.801111 2022.472 17800.00
## 1840 4.2000000  8.900278 2011.173 17900.00
## 1841 4.0000000  9.000000 2000.000 18000.00
## 1842 3.8000000  9.100278 1988.950 18100.00
## 1843 3.6000000  9.201111 1978.022 18200.00
## 1844 3.4000000  9.302500 1967.213 18300.00
## 1845 3.2000000  9.404444 1956.522 18400.00
## 1846 3.0000000  9.506944 1945.946 18500.00
## 1847 2.8000000  9.610000 1935.484 18600.00
## 1848 2.6000000  9.713611 1925.134 18700.00
## 1849 2.4000000  9.817778 1914.894 18800.00
## 1850 2.2000000  9.922500 1904.762 18900.00
## 1851 2.0000000 10.027778 1894.737 19000.00
## 1852 1.8000000 10.133611 1884.817 19100.00
## 1853 1.6000000 10.240000 1875.000 19200.00
## 1854 1.4000000 10.346944 1865.285 19300.00
## 1855 1.2000000 10.454444 1855.670 19400.00
## 1856 1.0000000 10.562500 1846.154 19500.00
## 1857 0.8000000 10.671111 1836.735 19600.00
## 1858 0.6000000 10.780278 1827.411 19700.00
## 1859 0.4000000 10.890000 1818.182 19800.00
## 1860 0.2000000 11.000278 1809.045 19900.00
## 1861 0.0000000 11.111111 1800.000 20000.00
## 1862 0.2000000 11.000278 1809.045 19900.00
## 1863 0.4000000 10.890000 1818.182 19800.00
## 1864 0.6000000 10.780278 1827.411 19700.00
## 1865 0.8000000 10.671111 1836.735 19600.00
## 1866 1.0000000 10.562500 1846.154 19500.00
## 1867 1.2000000 10.454444 1855.670 19400.00
## 1868 1.4000000 10.346944 1865.285 19300.00
## 1869 1.6000000 10.240000 1875.000 19200.00
## 1870 1.8000000 10.133611 1884.817 19100.00
## 1871 2.0000000 10.027778 1894.737 19000.00
## 1872 2.2000000  9.922500 1904.762 18900.00
## 1873 2.4000000  9.817778 1914.894 18800.00
## 1874 2.6000000  9.713611 1925.134 18700.00
## 1875 2.8000000  9.610000 1935.484 18600.00
## 1876 3.0000000  9.506944 1945.946 18500.00
## 1877 3.2000000  9.404444 1956.522 18400.00
## 1878 3.4000000  9.302500 1967.213 18300.00
## 1879 3.6000000  9.201111 1978.022 18200.00
## 1880 3.8000000  9.100278 1988.950 18100.00
## 1881 4.0000000  9.000000 2000.000 18000.00
## 1882 4.2000000  8.900278 2011.173 17900.00
## 1883 4.4000000  8.801111 2022.472 17800.00
## 1884 4.6000000  8.702500 2033.898 17700.00
## 1885 4.8000000  8.604444 2045.455 17600.00
## 1886 5.0000000  8.506944 2057.143 17500.00
## 1887 5.2000000  8.410000 2068.966 17400.00
## 1888 5.4000000  8.313611 2080.925 17300.00
## 1889 5.6000000  8.217778 2093.023 17200.00
## 1890 5.8000000  8.122500 2105.263 17100.00
## 1891 6.0000000  8.027778 2117.647 17000.00
## 1892 6.0033324  8.026204 2117.855 16998.33
## 1893 5.8034473  8.120863 2105.475 17098.28
## 1894 5.6035703  8.216072 2093.241 17198.21
## 1895 5.4037024  8.311832 2081.148 17298.15
## 1896 5.2038447  8.408142 2069.194 17398.08
## 1897 5.0039984  8.505001 2057.378 17498.00
## 1898 4.8041649  8.602408 2045.697 17597.92
## 1899 4.6043458  8.700363 2034.148 17697.83
## 1900 4.4045431  8.798865 2022.730 17797.73
## 1901 4.2047592  8.897912 2011.441 17897.62
## 1902 4.0049969  8.997502 2000.278 17997.50
## 1903 3.8052595  9.097634 1989.239 18097.37
## 1904 3.6055513  9.198305 1978.324 18197.22
## 1905 3.4058773  9.299513 1967.529 18297.06
## 1906 3.2062439  9.401253 1956.854 18396.88
## 1907 3.0066593  9.503523 1946.296 18496.67
## 1908 2.8071338  9.606315 1935.855 18596.43
## 1909 2.6076810  9.709622 1925.529 18696.16
## 1910 2.4083189  9.813434 1915.317 18795.84
## 1911 2.2090722  9.917738 1905.219 18895.46
## 1912 2.0099751 10.022514 1895.234 18995.01
## 1913 1.8110770 10.127735 1885.363 19094.46
## 1914 1.6124515 10.233360 1875.608 19193.77
## 1915 1.4142136 10.339326 1865.972 19292.89
## 1916 1.2165525 10.445526 1856.462 19391.72
## 1917 1.0198039 10.551776 1847.092 19490.10
## 1918 0.8246211 10.657710 1837.889 19587.69
## 1919 0.6324555 10.762525 1828.918 19683.77
## 1920 0.4472136 10.864048 1820.352 19776.39
## 1921 0.2828427 10.954532 1812.819 19858.58
## 1922 0.2000000 11.000278 1809.045 19900.00
## 1923 0.2828427 10.954532 1812.819 19858.58
## 1924 0.4472136 10.864048 1820.352 19776.39
## 1925 0.6324555 10.762525 1828.918 19683.77
## 1926 0.8246211 10.657710 1837.889 19587.69
## 1927 1.0198039 10.551776 1847.092 19490.10
## 1928 1.2165525 10.445526 1856.462 19391.72
## 1929 1.4142136 10.339326 1865.972 19292.89
## 1930 1.6124515 10.233360 1875.608 19193.77
## 1931 1.8110770 10.127735 1885.363 19094.46
## 1932 2.0099751 10.022514 1895.234 18995.01
## 1933 2.2090722  9.917738 1905.219 18895.46
## 1934 2.4083189  9.813434 1915.317 18795.84
## 1935 2.6076810  9.709622 1925.529 18696.16
## 1936 2.8071338  9.606315 1935.855 18596.43
## 1937 3.0066593  9.503523 1946.296 18496.67
## 1938 3.2062439  9.401253 1956.854 18396.88
## 1939 3.4058773  9.299513 1967.529 18297.06
## 1940 3.6055513  9.198305 1978.324 18197.22
## 1941 3.8052595  9.097634 1989.239 18097.37
## 1942 4.0049969  8.997502 2000.278 17997.50
## 1943 4.2047592  8.897912 2011.441 17897.62
## 1944 4.4045431  8.798865 2022.730 17797.73
## 1945 4.6043458  8.700363 2034.148 17697.83
## 1946 4.8041649  8.602408 2045.697 17597.92
## 1947 5.0039984  8.505001 2057.378 17498.00
## 1948 5.2038447  8.408142 2069.194 17398.08
## 1949 5.4037024  8.311832 2081.148 17298.15
## 1950 5.6035703  8.216072 2093.241 17198.21
## 1951 5.8034473  8.120863 2105.475 17098.28
## 1952 6.0033324  8.026204 2117.855 16998.33
## 1953 6.0133186  8.021490 2118.477 16993.34
## 1954 5.8137767  8.115957 2106.112 17093.11
## 1955 5.6142675  8.210962 2093.892 17192.87
## 1956 5.4147945  8.306503 2081.815 17292.60
## 1957 5.2153619  8.402577 2069.879 17392.32
## 1958 5.0159745  8.499181 2058.082 17492.01
## 1959 4.8166378  8.596312 2046.422 17591.68
## 1960 4.6173586  8.693967 2034.896 17691.32
## 1961 4.4181444  8.792142 2023.503 17790.93
## 1962 4.2190046  8.890831 2012.241 17890.50
## 1963 4.0199502  8.990028 2001.109 17990.02
## 1964 3.8209946  9.089725 1990.104 18089.50
## 1965 3.6221541  9.189914 1979.227 18188.92
## 1966 3.4234486  9.290584 1968.474 18288.28
## 1967 3.2249031  9.391721 1957.847 18387.55
## 1968 3.0265492  9.493306 1947.343 18486.73
## 1969 2.8284271  9.595318 1936.964 18585.79
## 1970 2.6305893  9.697728 1926.710 18684.71
## 1971 2.4331050  9.800497 1916.581 18783.45
## 1972 2.2360680  9.903573 1906.581 18881.97
## 1973 2.0396078 10.006885 1896.714 18980.20
## 1974 1.8439089 10.110328 1886.986 19078.05
## 1975 1.6492423 10.213754 1877.407 19175.38
## 1976 1.4560220 10.316932 1867.996 19271.99
## 1977 1.2649111 10.419494 1858.780 19367.54
## 1978 1.0770330 10.520815 1849.808 19461.48
## 1979 0.8944272 10.619763 1841.170 19552.79
## 1980 0.7211103 10.714105 1833.046 19639.44
## 1981 0.5656854 10.799064 1825.821 19717.16
## 1982 0.4472136 10.864048 1820.352 19776.39
## 1983 0.4000000 10.890000 1818.182 19800.00
## 1984 0.4472136 10.864048 1820.352 19776.39
## 1985 0.5656854 10.799064 1825.821 19717.16
## 1986 0.7211103 10.714105 1833.046 19639.44
## 1987 0.8944272 10.619763 1841.170 19552.79
## 1988 1.0770330 10.520815 1849.808 19461.48
## 1989 1.2649111 10.419494 1858.780 19367.54
## 1990 1.4560220 10.316932 1867.996 19271.99
## 1991 1.6492423 10.213754 1877.407 19175.38
## 1992 1.8439089 10.110328 1886.986 19078.05
## 1993 2.0396078 10.006885 1896.714 18980.20
## 1994 2.2360680  9.903573 1906.581 18881.97
## 1995 2.4331050  9.800497 1916.581 18783.45
## 1996 2.6305893  9.697728 1926.710 18684.71
## 1997 2.8284271  9.595318 1936.964 18585.79
## 1998 3.0265492  9.493306 1947.343 18486.73
## 1999 3.2249031  9.391721 1957.847 18387.55
## 2000 3.4234486  9.290584 1968.474 18288.28
## 2001 3.6221541  9.189914 1979.227 18188.92
## 2002 3.8209946  9.089725 1990.104 18089.50
## 2003 4.0199502  8.990028 2001.109 17990.02
## 2004 4.2190046  8.890831 2012.241 17890.50
## 2005 4.4181444  8.792142 2023.503 17790.93
## 2006 4.6173586  8.693967 2034.896 17691.32
## 2007 4.8166378  8.596312 2046.422 17591.68
## 2008 5.0159745  8.499181 2058.082 17492.01
## 2009 5.2153619  8.402577 2069.879 17392.32
## 2010 5.4147945  8.306503 2081.815 17292.60
## 2011 5.6142675  8.210962 2093.892 17192.87
## 2012 5.8137767  8.115957 2106.112 17093.11
## 2013 6.0133186  8.021490 2118.477 16993.34
## 2014 6.0299254  8.013653 2119.513 16985.04
## 2015 5.8309519  8.107805 2107.170 17084.52
## 2016 5.6320511  8.202472 2094.975 17183.97
## 2017 5.4332311  8.297649 2082.925 17283.38
## 2018 5.2345009  8.393333 2071.019 17382.75
## 2019 5.0358713  8.489516 2059.253 17482.06
## 2020 4.8373546  8.586192 2047.628 17581.32
## 2021 4.6389654  8.683353 2036.140 17680.52
## 2022 4.4407207  8.780989 2024.788 17779.64
## 2023 4.2426407  8.879089 2013.572 17878.68
## 2024 4.0447497  8.977639 2002.489 17977.63
## 2025 3.8470768  9.076624 1991.540 18076.46
## 2026 3.6496575  9.176024 1980.724 18175.17
## 2027 3.4525353  9.275814 1970.041 18273.73
## 2028 3.2557641  9.375964 1959.491 18372.12
## 2029 3.0594117  9.476438 1949.076 18470.29
## 2030 2.8635642  9.577187 1938.797 18568.22
## 2031 2.6683328  9.678148 1928.658 18665.83
## 2032 2.4738634  9.779243 1918.663 18763.07
## 2033 2.2803509  9.880361 1908.819 18859.82
## 2034 2.0880613  9.981355 1899.138 18955.97
## 2035 1.8973666 10.082019 1889.633 19051.32
## 2036 1.7088007 10.182055 1880.328 19145.60
## 2037 1.5231546 10.281025 1871.255 19238.42
## 2038 1.3416408 10.378255 1862.469 19329.18
## 2039 1.1661904 10.472672 1854.055 19416.90
## 2040 1.0000000 10.562500 1846.154 19500.00
## 2041 0.8485281 10.644707 1839.011 19575.74
## 2042 0.7211103 10.714105 1833.046 19639.44
## 2043 0.6324555 10.762525 1828.918 19683.77
## 2044 0.6000000 10.780278 1827.411 19700.00
## 2045 0.6324555 10.762525 1828.918 19683.77
## 2046 0.7211103 10.714105 1833.046 19639.44
## 2047 0.8485281 10.644707 1839.011 19575.74
## 2048 1.0000000 10.562500 1846.154 19500.00
## 2049 1.1661904 10.472672 1854.055 19416.90
## 2050 1.3416408 10.378255 1862.469 19329.18
## 2051 1.5231546 10.281025 1871.255 19238.42
## 2052 1.7088007 10.182055 1880.328 19145.60
## 2053 1.8973666 10.082019 1889.633 19051.32
## 2054 2.0880613  9.981355 1899.138 18955.97
## 2055 2.2803509  9.880361 1908.819 18859.82
## 2056 2.4738634  9.779243 1918.663 18763.07
## 2057 2.6683328  9.678148 1928.658 18665.83
## 2058 2.8635642  9.577187 1938.797 18568.22
## 2059 3.0594117  9.476438 1949.076 18470.29
## 2060 3.2557641  9.375964 1959.491 18372.12
## 2061 3.4525353  9.275814 1970.041 18273.73
## 2062 3.6496575  9.176024 1980.724 18175.17
## 2063 3.8470768  9.076624 1991.540 18076.46
## 2064 4.0447497  8.977639 2002.489 17977.63
## 2065 4.2426407  8.879089 2013.572 17878.68
## 2066 4.4407207  8.780989 2024.788 17779.64
## 2067 4.6389654  8.683353 2036.140 17680.52
## 2068 4.8373546  8.586192 2047.628 17581.32
## 2069 5.0358713  8.489516 2059.253 17482.06
## 2070 5.2345009  8.393333 2071.019 17382.75
## 2071 5.4332311  8.297649 2082.925 17283.38
## 2072 5.6320511  8.202472 2094.975 17183.97
## 2073 5.8309519  8.107805 2107.170 17084.52
## 2074 6.0299254  8.013653 2119.513 16985.04
## 2075 6.0530984  8.002723 2120.959 16973.45
## 2076 5.8549125  8.096438 2108.649 17072.54
## 2077 5.6568542  8.190637 2096.488 17171.57
## 2078 5.4589376  8.285312 2084.476 17270.53
## 2079 5.2611786  8.380456 2072.609 17369.41
## 2080 5.0635956  8.476058 2060.888 17468.20
## 2081 4.8662100  8.572106 2049.309 17566.89
## 2082 4.6690470  8.668585 2037.873 17665.48
## 2083 4.4721360  8.765480 2026.578 17763.93
## 2084 4.2755117  8.862771 2015.424 17862.24
## 2085 4.0792156  8.960436 2004.411 17960.39
## 2086 3.8832976  9.058446 1993.537 18058.35
## 2087 3.6878178  9.156768 1982.806 18156.09
## 2088 3.4928498  9.255361 1972.216 18253.58
## 2089 3.2984845  9.354175 1961.772 18350.76
## 2090 3.1048349  9.453147 1951.475 18447.58
## 2091 2.9120440  9.552198 1941.331 18543.98
## 2092 2.7202941  9.651225 1931.346 18639.85
## 2093 2.5298221  9.750099 1921.528 18735.09
## 2094 2.3409400  9.848644 1911.891 18829.53
## 2095 2.1540659  9.946630 1902.450 18922.97
## 2096 1.9697716 10.043738 1893.231 19015.11
## 2097 1.7888544 10.139525 1884.267 19105.57
## 2098 1.6124515 10.233360 1875.608 19193.77
## 2099 1.4422205 10.324322 1867.327 19278.89
## 2100 1.2806248 10.411042 1859.534 19359.69
## 2101 1.1313708 10.491461 1852.394 19434.31
## 2102 1.0000000 10.562500 1846.154 19500.00
## 2103 0.8944272 10.619763 1841.170 19552.79
## 2104 0.8246211 10.657710 1837.889 19587.69
## 2105 0.8000000 10.671111 1836.735 19600.00
## 2106 0.8246211 10.657710 1837.889 19587.69
## 2107 0.8944272 10.619763 1841.170 19552.79
## 2108 1.0000000 10.562500 1846.154 19500.00
## 2109 1.1313708 10.491461 1852.394 19434.31
## 2110 1.2806248 10.411042 1859.534 19359.69
## 2111 1.4422205 10.324322 1867.327 19278.89
## 2112 1.6124515 10.233360 1875.608 19193.77
## 2113 1.7888544 10.139525 1884.267 19105.57
## 2114 1.9697716 10.043738 1893.231 19015.11
## 2115 2.1540659  9.946630 1902.450 18922.97
## 2116 2.3409400  9.848644 1911.891 18829.53
## 2117 2.5298221  9.750099 1921.528 18735.09
## 2118 2.7202941  9.651225 1931.346 18639.85
## 2119 2.9120440  9.552198 1941.331 18543.98
## 2120 3.1048349  9.453147 1951.475 18447.58
## 2121 3.2984845  9.354175 1961.772 18350.76
## 2122 3.4928498  9.255361 1972.216 18253.58
## 2123 3.6878178  9.156768 1982.806 18156.09
## 2124 3.8832976  9.058446 1993.537 18058.35
## 2125 4.0792156  8.960436 2004.411 17960.39
## 2126 4.2755117  8.862771 2015.424 17862.24
## 2127 4.4721360  8.765480 2026.578 17763.93
## 2128 4.6690470  8.668585 2037.873 17665.48
## 2129 4.8662100  8.572106 2049.309 17566.89
## 2130 5.0635956  8.476058 2060.888 17468.20
## 2131 5.2611786  8.380456 2072.609 17369.41
## 2132 5.4589376  8.285312 2084.476 17270.53
## 2133 5.6568542  8.190637 2096.488 17171.57
## 2134 5.8549125  8.096438 2108.649 17072.54
## 2135 6.0530984  8.002723 2120.959 16973.45
## 2136 6.0827625  7.988743 2122.814 16958.62
## 2137 5.8855756  8.081902 2110.544 17057.21
## 2138 5.6885851  8.175508 2098.427 17155.71
## 2139 5.4918121  8.269549 2086.461 17254.09
## 2140 5.2952809  8.364011 2074.646 17352.36
## 2141 5.0990195  8.458878 2062.979 17450.49
## 2142 4.9030603  8.554133 2051.461 17548.47
## 2143 4.7074409  8.649755 2040.090 17646.28
## 2144 4.5122057  8.745719 2028.867 17743.90
## 2145 4.3174066  8.841996 2017.791 17841.30
## 2146 4.1231056  8.938552 2006.863 17938.45
## 2147 3.9293765  9.035346 1996.084 18035.31
## 2148 3.7363083  9.132329 1985.457 18131.85
## 2149 3.5440090  9.229439 1974.984 18228.00
## 2150 3.3526109  9.326605 1964.669 18323.69
## 2151 3.1622777  9.423735 1954.518 18418.86
## 2152 2.9732137  9.520715 1944.538 18513.39
## 2153 2.7856777  9.617401 1934.739 18607.16
## 2154 2.6000000  9.713611 1925.134 18700.00
## 2155 2.4166092  9.809106 1915.740 18791.70
## 2156 2.2360680  9.903573 1906.581 18881.97
## 2157 2.0591260  9.996597 1897.690 18970.44
## 2158 1.8867962 10.087613 1889.109 19056.60
## 2159 1.7204651 10.175853 1880.901 19139.77
## 2160 1.5620499 10.260250 1873.149 19218.98
## 2161 1.4142136 10.339326 1865.972 19292.89
## 2162 1.2806248 10.411042 1859.534 19359.69
## 2163 1.1661904 10.472672 1854.055 19416.90
## 2164 1.0770330 10.520815 1849.808 19461.48
## 2165 1.0198039 10.551776 1847.092 19490.10
## 2166 1.0000000 10.562500 1846.154 19500.00
## 2167 1.0198039 10.551776 1847.092 19490.10
## 2168 1.0770330 10.520815 1849.808 19461.48
## 2169 1.1661904 10.472672 1854.055 19416.90
## 2170 1.2806248 10.411042 1859.534 19359.69
## 2171 1.4142136 10.339326 1865.972 19292.89
## 2172 1.5620499 10.260250 1873.149 19218.98
## 2173 1.7204651 10.175853 1880.901 19139.77
## 2174 1.8867962 10.087613 1889.109 19056.60
## 2175 2.0591260  9.996597 1897.690 18970.44
## 2176 2.2360680  9.903573 1906.581 18881.97
## 2177 2.4166092  9.809106 1915.740 18791.70
## 2178 2.6000000  9.713611 1925.134 18700.00
## 2179 2.7856777  9.617401 1934.739 18607.16
## 2180 2.9732137  9.520715 1944.538 18513.39
## 2181 3.1622777  9.423735 1954.518 18418.86
## 2182 3.3526109  9.326605 1964.669 18323.69
## 2183 3.5440090  9.229439 1974.984 18228.00
## 2184 3.7363083  9.132329 1985.457 18131.85
## 2185 3.9293765  9.035346 1996.084 18035.31
## 2186 4.1231056  8.938552 2006.863 17938.45
## 2187 4.3174066  8.841996 2017.791 17841.30
## 2188 4.5122057  8.745719 2028.867 17743.90
## 2189 4.7074409  8.649755 2040.090 17646.28
## 2190 4.9030603  8.554133 2051.461 17548.47
## 2191 5.0990195  8.458878 2062.979 17450.49
## 2192 5.2952809  8.364011 2074.646 17352.36
## 2193 5.4918121  8.269549 2086.461 17254.09
## 2194 5.6885851  8.175508 2098.427 17155.71
## 2195 5.8855756  8.081902 2110.544 17057.21
## 2196 6.0827625  7.988743 2122.814 16958.62
## 2197 6.1188234  7.971765 2125.074 16940.59
## 2198 5.9228372  8.064257 2112.852 17038.58
## 2199 5.7271284  8.157151 2100.787 17136.44
## 2200 5.5317267  8.250430 2088.877 17234.14
## 2201 5.3366656  8.344075 2077.123 17331.67
## 2202 5.1419841  8.438064 2065.522 17429.01
## 2203 4.9477268  8.532374 2054.075 17526.14
## 2204 4.7539457  8.626975 2042.782 17623.03
## 2205 4.5607017  8.721832 2031.643 17719.65
## 2206 4.3680659  8.816908 2020.659 17815.97
## 2207 4.1761226  8.912154 2009.833 17911.94
## 2208 3.9849718  9.007516 1999.165 18007.51
## 2209 3.7947332  9.102926 1988.661 18102.63
## 2210 3.6055513  9.198305 1978.324 18197.22
## 2211 3.4176015  9.293555 1968.160 18291.20
## 2212 3.2310989  9.388556 1958.177 18384.45
## 2213 3.0463092  9.483162 1948.385 18476.85
## 2214 2.8635642  9.577187 1938.797 18568.22
## 2215 2.6832816  9.670399 1929.430 18658.36
## 2216 2.5059928  9.762504 1920.307 18747.00
## 2217 2.3323808  9.853122 1911.456 18833.81
## 2218 2.1633308  9.941761 1902.916 18918.33
## 2219 2.0000000 10.027778 1894.737 19000.00
## 2220 1.8439089 10.110328 1886.986 19078.05
## 2221 1.6970563 10.188302 1879.751 19151.47
## 2222 1.5620499 10.260250 1873.149 19218.98
## 2223 1.4422205 10.324322 1867.327 19278.89
## 2224 1.3416408 10.378255 1862.469 19329.18
## 2225 1.2649111 10.419494 1858.780 19367.54
## 2226 1.2165525 10.445526 1856.462 19391.72
## 2227 1.2000000 10.454444 1855.670 19400.00
## 2228 1.2165525 10.445526 1856.462 19391.72
## 2229 1.2649111 10.419494 1858.780 19367.54
## 2230 1.3416408 10.378255 1862.469 19329.18
## 2231 1.4422205 10.324322 1867.327 19278.89
## 2232 1.5620499 10.260250 1873.149 19218.98
## 2233 1.6970563 10.188302 1879.751 19151.47
## 2234 1.8439089 10.110328 1886.986 19078.05
## 2235 2.0000000 10.027778 1894.737 19000.00
## 2236 2.1633308  9.941761 1902.916 18918.33
## 2237 2.3323808  9.853122 1911.456 18833.81
## 2238 2.5059928  9.762504 1920.307 18747.00
## 2239 2.6832816  9.670399 1929.430 18658.36
## 2240 2.8635642  9.577187 1938.797 18568.22
## 2241 3.0463092  9.483162 1948.385 18476.85
## 2242 3.2310989  9.388556 1958.177 18384.45
## 2243 3.4176015  9.293555 1968.160 18291.20
## 2244 3.6055513  9.198305 1978.324 18197.22
## 2245 3.7947332  9.102926 1988.661 18102.63
## 2246 3.9849718  9.007516 1999.165 18007.51
## 2247 4.1761226  8.912154 2009.833 17911.94
## 2248 4.3680659  8.816908 2020.659 17815.97
## 2249 4.5607017  8.721832 2031.643 17719.65
## 2250 4.7539457  8.626975 2042.782 17623.03
## 2251 4.9477268  8.532374 2054.075 17526.14
## 2252 5.1419841  8.438064 2065.522 17429.01
## 2253 5.3366656  8.344075 2077.123 17331.67
## 2254 5.5317267  8.250430 2088.877 17234.14
## 2255 5.7271284  8.157151 2100.787 17136.44
## 2256 5.9228372  8.064257 2112.852 17038.58
## 2257 6.1188234  7.971765 2125.074 16940.59
## 2258 6.1611687  7.951851 2127.733 16919.42
## 2259 5.9665736  8.043570 2115.567 17016.71
## 2260 5.7723479  8.135640 2103.562 17113.83
## 2261 5.5785303  8.228039 2091.718 17210.73
## 2262 5.3851648  8.320742 2080.033 17307.42
## 2263 5.1923020  8.413721 2068.508 17403.85
## 2264 5.0000000  8.506944 2057.143 17500.00
## 2265 4.8083261  8.600374 2045.938 17595.84
## 2266 4.6173586  8.693967 2034.896 17691.32
## 2267 4.4271887  8.787673 2024.018 17786.41
## 2268 4.2379240  8.881431 2013.306 17881.04
## 2269 4.0496913  8.975171 2002.764 17975.15
## 2270 3.8626416  9.068810 1992.398 18068.68
## 2271 3.6769553  9.162247 1982.213 18161.52
## 2272 3.4928498  9.255361 1972.216 18253.58
## 2273 3.3105891  9.348006 1962.419 18344.71
## 2274 3.1304952  9.440003 1952.833 18434.75
## 2275 2.9529646  9.531131 1943.475 18523.52
## 2276 2.7784888  9.621117 1934.365 18610.76
## 2277 2.6076810  9.709622 1925.529 18696.16
## 2278 2.4413111  9.796216 1917.000 18779.34
## 2279 2.2803509  9.880361 1908.819 18859.82
## 2280 2.1260292  9.961373 1901.042 18936.99
## 2281 1.9798990 10.038389 1893.735 19010.05
## 2282 1.8439089 10.110328 1886.986 19078.05
## 2283 1.7204651 10.175853 1880.901 19139.77
## 2284 1.6124515 10.233360 1875.608 19193.77
## 2285 1.5231546 10.281025 1871.255 19238.42
## 2286 1.4560220 10.316932 1867.996 19271.99
## 2287 1.4142136 10.339326 1865.972 19292.89
## 2288 1.4000000 10.346944 1865.285 19300.00
## 2289 1.4142136 10.339326 1865.972 19292.89
## 2290 1.4560220 10.316932 1867.996 19271.99
## 2291 1.5231546 10.281025 1871.255 19238.42
## 2292 1.6124515 10.233360 1875.608 19193.77
## 2293 1.7204651 10.175853 1880.901 19139.77
## 2294 1.8439089 10.110328 1886.986 19078.05
## 2295 1.9798990 10.038389 1893.735 19010.05
## 2296 2.1260292  9.961373 1901.042 18936.99
## 2297 2.2803509  9.880361 1908.819 18859.82
## 2298 2.4413111  9.796216 1917.000 18779.34
## 2299 2.6076810  9.709622 1925.529 18696.16
## 2300 2.7784888  9.621117 1934.365 18610.76
## 2301 2.9529646  9.531131 1943.475 18523.52
## 2302 3.1304952  9.440003 1952.833 18434.75
## 2303 3.3105891  9.348006 1962.419 18344.71
## 2304 3.4928498  9.255361 1972.216 18253.58
## 2305 3.6769553  9.162247 1982.213 18161.52
## 2306 3.8626416  9.068810 1992.398 18068.68
## 2307 4.0496913  8.975171 2002.764 17975.15
## 2308 4.2379240  8.881431 2013.306 17881.04
## 2309 4.4271887  8.787673 2024.018 17786.41
## 2310 4.6173586  8.693967 2034.896 17691.32
## 2311 4.8083261  8.600374 2045.938 17595.84
## 2312 5.0000000  8.506944 2057.143 17500.00
## 2313 5.1923020  8.413721 2068.508 17403.85
## 2314 5.3851648  8.320742 2080.033 17307.42
## 2315 5.5785303  8.228039 2091.718 17210.73
## 2316 5.7723479  8.135640 2103.562 17113.83
## 2317 5.9665736  8.043570 2115.567 17016.71
## 2318 6.1611687  7.951851 2127.733 16919.42
## 2319 6.2096699  7.929072 2130.787 16895.17
## 2320 6.0166436  8.019920 2118.684 16991.68
## 2321 5.8240879  8.111062 2106.747 17087.96
## 2322 5.6320511  8.202472 2094.975 17183.97
## 2323 5.4405882  8.294118 2083.369 17279.71
## 2324 5.2497619  8.385966 2071.928 17375.12
## 2325 5.0596443  8.477975 2060.654 17470.18
## 2326 4.8703183  8.570101 2049.549 17564.84
## 2327 4.6818800  8.662289 2038.614 17659.06
## 2328 4.4944410  8.754477 2027.851 17752.78
## 2329 4.3081318  8.846593 2017.266 17845.93
## 2330 4.1231056  8.938552 2006.863 17938.45
## 2331 3.9395431  9.030254 1996.647 18030.23
## 2332 3.7576588  9.121578 1986.627 18121.17
## 2333 3.5777088  9.212384 1976.811 18211.15
## 2334 3.4000000  9.302500 1967.213 18300.00
## 2335 3.2249031  9.391721 1957.847 18387.55
## 2336 3.0528675  9.479796 1948.730 18473.57
## 2337 2.8844410  9.566422 1939.887 18557.78
## 2338 2.7202941  9.651225 1931.346 18639.85
## 2339 2.5612497  9.733750 1923.141 18719.38
## 2340 2.4083189  9.813434 1915.317 18795.84
## 2341 2.2627417  9.889588 1907.929 18868.63
## 2342 2.1260292  9.961373 1901.042 18936.99
## 2343 2.0000000 10.027778 1894.737 19000.00
## 2344 1.8867962 10.087613 1889.109 19056.60
## 2345 1.7888544 10.139525 1884.267 19105.57
## 2346 1.7088007 10.182055 1880.328 19145.60
## 2347 1.6492423 10.213754 1877.407 19175.38
## 2348 1.6124515 10.233360 1875.608 19193.77
## 2349 1.6000000 10.240000 1875.000 19200.00
## 2350 1.6124515 10.233360 1875.608 19193.77
## 2351 1.6492423 10.213754 1877.407 19175.38
## 2352 1.7088007 10.182055 1880.328 19145.60
## 2353 1.7888544 10.139525 1884.267 19105.57
## 2354 1.8867962 10.087613 1889.109 19056.60
## 2355 2.0000000 10.027778 1894.737 19000.00
## 2356 2.1260292  9.961373 1901.042 18936.99
## 2357 2.2627417  9.889588 1907.929 18868.63
## 2358 2.4083189  9.813434 1915.317 18795.84
## 2359 2.5612497  9.733750 1923.141 18719.38
## 2360 2.7202941  9.651225 1931.346 18639.85
## 2361 2.8844410  9.566422 1939.887 18557.78
## 2362 3.0528675  9.479796 1948.730 18473.57
## 2363 3.2249031  9.391721 1957.847 18387.55
## 2364 3.4000000  9.302500 1967.213 18300.00
## 2365 3.5777088  9.212384 1976.811 18211.15
## 2366 3.7576588  9.121578 1986.627 18121.17
## 2367 3.9395431  9.030254 1996.647 18030.23
## 2368 4.1231056  8.938552 2006.863 17938.45
## 2369 4.3081318  8.846593 2017.266 17845.93
## 2370 4.4944410  8.754477 2027.851 17752.78
## 2371 4.6818800  8.662289 2038.614 17659.06
## 2372 4.8703183  8.570101 2049.549 17564.84
## 2373 5.0596443  8.477975 2060.654 17470.18
## 2374 5.2497619  8.385966 2071.928 17375.12
## 2375 5.4405882  8.294118 2083.369 17279.71
## 2376 5.6320511  8.202472 2094.975 17183.97
## 2377 5.8240879  8.111062 2106.747 17087.96
## 2378 6.0166436  8.019920 2118.684 16991.68
## 2379 6.2096699  7.929072 2130.787 16895.17
## 2380 6.2641839  7.903509 2134.230 16867.91
## 2381 6.0728906  7.993394 2122.197 16963.55
## 2382 5.8821765  8.083513 2110.334 17058.91
## 2383 5.6920998  8.173833 2098.642 17153.95
## 2384 5.5027266  8.264319 2087.121 17248.64
## 2385 5.3141321  8.354927 2075.773 17342.93
## 2386 5.1264022  8.445610 2064.599 17436.80
## 2387 4.9396356  8.536314 2053.601 17530.18
## 2388 4.7539457  8.626975 2042.782 17623.03
## 2389 4.5694639  8.717520 2032.145 17715.27
## 2390 4.3863424  8.807865 2021.696 17806.83
## 2391 4.2047592  8.897912 2011.441 17897.62
## 2392 4.0249224  8.987543 2001.386 17987.54
## 2393 3.8470768  9.076624 1991.540 18076.46
## 2394 3.6715120  9.164993 1981.916 18164.24
## 2395 3.4985711  9.252460 1972.526 18250.71
## 2396 3.3286634  9.338798 1963.386 18335.67
## 2397 3.1622777  9.423735 1954.518 18418.86
## 2398 3.0000000  9.506944 1945.946 18500.00
## 2399 2.8425341  9.588037 1937.699 18578.73
## 2400 2.6907248  9.666542 1929.815 18654.64
## 2401 2.5455844  9.741898 1922.337 18727.21
## 2402 2.4083189  9.813434 1915.317 18795.84
## 2403 2.2803509  9.880361 1908.819 18859.82
## 2404 2.1633308  9.941761 1902.916 18918.33
## 2405 2.0591260  9.996597 1897.690 18970.44
## 2406 1.9697716 10.043738 1893.231 19015.11
## 2407 1.8973666 10.082019 1889.633 19051.32
## 2408 1.8439089 10.110328 1886.986 19078.05
## 2409 1.8110770 10.127735 1885.363 19094.46
## 2410 1.8000000 10.133611 1884.817 19100.00
## 2411 1.8110770 10.127735 1885.363 19094.46
## 2412 1.8439089 10.110328 1886.986 19078.05
## 2413 1.8973666 10.082019 1889.633 19051.32
## 2414 1.9697716 10.043738 1893.231 19015.11
## 2415 2.0591260  9.996597 1897.690 18970.44
## 2416 2.1633308  9.941761 1902.916 18918.33
## 2417 2.2803509  9.880361 1908.819 18859.82
## 2418 2.4083189  9.813434 1915.317 18795.84
## 2419 2.5455844  9.741898 1922.337 18727.21
## 2420 2.6907248  9.666542 1929.815 18654.64
## 2421 2.8425341  9.588037 1937.699 18578.73
## 2422 3.0000000  9.506944 1945.946 18500.00
## 2423 3.1622777  9.423735 1954.518 18418.86
## 2424 3.3286634  9.338798 1963.386 18335.67
## 2425 3.4985711  9.252460 1972.526 18250.71
## 2426 3.6715120  9.164993 1981.916 18164.24
## 2427 3.8470768  9.076624 1991.540 18076.46
## 2428 4.0249224  8.987543 2001.386 17987.54
## 2429 4.2047592  8.897912 2011.441 17897.62
## 2430 4.3863424  8.807865 2021.696 17806.83
## 2431 4.5694639  8.717520 2032.145 17715.27
## 2432 4.7539457  8.626975 2042.782 17623.03
## 2433 4.9396356  8.536314 2053.601 17530.18
## 2434 5.1264022  8.445610 2064.599 17436.80
## 2435 5.3141321  8.354927 2075.773 17342.93
## 2436 5.5027266  8.264319 2087.121 17248.64
## 2437 5.6920998  8.173833 2098.642 17153.95
## 2438 5.8821765  8.083513 2110.334 17058.91
## 2439 6.0728906  7.993394 2122.197 16963.55
## 2440 6.2641839  7.903509 2134.230 16867.91
## 2441 6.3245553  7.875247 2138.056 16837.72
## 2442 6.1351447  7.964086 2126.098 16932.43
## 2443 5.9464275  8.053096 2114.316 17026.79
## 2444 5.7584720  8.142238 2102.710 17120.76
## 2445 5.5713553  8.231469 2091.282 17214.32
## 2446 5.3851648  8.320742 2080.033 17307.42
## 2447 5.2000000  8.410000 2068.966 17400.00
## 2448 5.0159745  8.499181 2058.082 17492.01
## 2449 4.8332184  8.588212 2047.387 17583.39
## 2450 4.6518813  8.677010 2036.884 17674.06
## 2451 4.4721360  8.765480 2026.578 17763.93
## 2452 4.2941821  8.853510 2016.478 17852.91
## 2453 4.1182521  8.940971 2006.591 17940.87
## 2454 3.9446166  9.027713 1996.928 18027.69
## 2455 3.7735925  9.113560 1987.500 18113.20
## 2456 3.6055513  9.198305 1978.324 18197.22
## 2457 3.4409301  9.281705 1969.416 18279.53
## 2458 3.2802439  9.363476 1960.797 18359.88
## 2459 3.1240999  9.443278 1952.495 18437.95
## 2460 2.9732137  9.520715 1944.538 18513.39
## 2461 2.8284271  9.595318 1936.964 18585.79
## 2462 2.6907248  9.666542 1929.815 18654.64
## 2463 2.5612497  9.733750 1923.141 18719.38
## 2464 2.4413111  9.796216 1917.000 18779.34
## 2465 2.3323808  9.853122 1911.456 18833.81
## 2466 2.2360680  9.903573 1906.581 18881.97
## 2467 2.1540659  9.946630 1902.450 18922.97
## 2468 2.0880613  9.981355 1899.138 18955.97
## 2469 2.0396078 10.006885 1896.714 18980.20
## 2470 2.0099751 10.022514 1895.234 18995.01
## 2471 2.0000000 10.027778 1894.737 19000.00
## 2472 2.0099751 10.022514 1895.234 18995.01
## 2473 2.0396078 10.006885 1896.714 18980.20
## 2474 2.0880613  9.981355 1899.138 18955.97
## 2475 2.1540659  9.946630 1902.450 18922.97
## 2476 2.2360680  9.903573 1906.581 18881.97
## 2477 2.3323808  9.853122 1911.456 18833.81
## 2478 2.4413111  9.796216 1917.000 18779.34
## 2479 2.5612497  9.733750 1923.141 18719.38
## 2480 2.6907248  9.666542 1929.815 18654.64
## 2481 2.8284271  9.595318 1936.964 18585.79
## 2482 2.9732137  9.520715 1944.538 18513.39
## 2483 3.1240999  9.443278 1952.495 18437.95
## 2484 3.2802439  9.363476 1960.797 18359.88
## 2485 3.4409301  9.281705 1969.416 18279.53
## 2486 3.6055513  9.198305 1978.324 18197.22
## 2487 3.7735925  9.113560 1987.500 18113.20
## 2488 3.9446166  9.027713 1996.928 18027.69
## 2489 4.1182521  8.940971 2006.591 17940.87
## 2490 4.2941821  8.853510 2016.478 17852.91
## 2491 4.4721360  8.765480 2026.578 17763.93
## 2492 4.6518813  8.677010 2036.884 17674.06
## 2493 4.8332184  8.588212 2047.387 17583.39
## 2494 5.0159745  8.499181 2058.082 17492.01
## 2495 5.2000000  8.410000 2068.966 17400.00
## 2496 5.3851648  8.320742 2080.033 17307.42
## 2497 5.5713553  8.231469 2091.282 17214.32
## 2498 5.7584720  8.142238 2102.710 17120.76
## 2499 5.9464275  8.053096 2114.316 17026.79
## 2500 6.1351447  7.964086 2126.098 16932.43
## 2501 6.3245553  7.875247 2138.056 16837.72
## 2502 6.3906181  7.844379 2142.259 16804.69
## 2503 6.2032250  7.932097 2130.381 16898.39
## 2504 6.0166436  8.019920 2118.684 16991.68
## 2505 5.8309519  8.107805 2107.170 17084.52
## 2506 5.6462377  8.195701 2095.840 17176.88
## 2507 5.4626001  8.283555 2084.697 17268.70
## 2508 5.2801515  8.371305 2073.742 17359.92
## 2509 5.0990195  8.458878 2062.979 17450.49
## 2510 4.9193496  8.546195 2052.413 17540.33
## 2511 4.7413078  8.633162 2042.050 17629.35
## 2512 4.5650849  8.719675 2031.894 17717.46
## 2513 4.3908997  8.805611 2021.955 17804.55
## 2514 4.2190046  8.890831 2012.241 17890.50
## 2515 4.0496913  8.975171 2002.764 17975.15
## 2516 3.8832976  9.058446 1993.537 18058.35
## 2517 3.7202150  9.140436 1984.576 18139.89
## 2518 3.5608988  9.220890 1975.899 18219.55
## 2519 3.4058773  9.299513 1967.529 18297.06
## 2520 3.2557641  9.375964 1959.491 18372.12
## 2521 3.1112698  9.449850 1951.816 18444.37
## 2522 2.9732137  9.520715 1944.538 18513.39
## 2523 2.8425341  9.588037 1937.699 18578.73
## 2524 2.7202941  9.651225 1931.346 18639.85
## 2525 2.6076810  9.709622 1925.529 18696.16
## 2526 2.5059928  9.762504 1920.307 18747.00
## 2527 2.4166092  9.809106 1915.740 18791.70
## 2528 2.3409400  9.848644 1911.891 18829.53
## 2529 2.2803509  9.880361 1908.819 18859.82
## 2530 2.2360680  9.903573 1906.581 18881.97
## 2531 2.2090722  9.917738 1905.219 18895.46
## 2532 2.2000000  9.922500 1904.762 18900.00
## 2533 2.2090722  9.917738 1905.219 18895.46
## 2534 2.2360680  9.903573 1906.581 18881.97
## 2535 2.2803509  9.880361 1908.819 18859.82
## 2536 2.3409400  9.848644 1911.891 18829.53
## 2537 2.4166092  9.809106 1915.740 18791.70
## 2538 2.5059928  9.762504 1920.307 18747.00
## 2539 2.6076810  9.709622 1925.529 18696.16
## 2540 2.7202941  9.651225 1931.346 18639.85
## 2541 2.8425341  9.588037 1937.699 18578.73
## 2542 2.9732137  9.520715 1944.538 18513.39
## 2543 3.1112698  9.449850 1951.816 18444.37
## 2544 3.2557641  9.375964 1959.491 18372.12
## 2545 3.4058773  9.299513 1967.529 18297.06
## 2546 3.5608988  9.220890 1975.899 18219.55
## 2547 3.7202150  9.140436 1984.576 18139.89
## 2548 3.8832976  9.058446 1993.537 18058.35
## 2549 4.0496913  8.975171 2002.764 17975.15
## 2550 4.2190046  8.890831 2012.241 17890.50
## 2551 4.3908997  8.805611 2021.955 17804.55
## 2552 4.5650849  8.719675 2031.894 17717.46
## 2553 4.7413078  8.633162 2042.050 17629.35
## 2554 4.9193496  8.546195 2052.413 17540.33
## 2555 5.0990195  8.458878 2062.979 17450.49
## 2556 5.2801515  8.371305 2073.742 17359.92
## 2557 5.4626001  8.283555 2084.697 17268.70
## 2558 5.6462377  8.195701 2095.840 17176.88
## 2559 5.8309519  8.107805 2107.170 17084.52
## 2560 6.0166436  8.019920 2118.684 16991.68
## 2561 6.2032250  7.932097 2130.381 16898.39
## 2562 6.3906181  7.844379 2142.259 16804.69
## 2563 6.4621978  7.811001 2146.831 16768.90
## 2564 6.2769419  7.897532 2135.038 16861.53
## 2565 6.0926185  7.984101 2123.431 16953.69
## 2566 5.9093147  8.070659 2112.014 17045.34
## 2567 5.7271284  8.157151 2100.787 17136.44
## 2568 5.5461698  8.243517 2089.753 17226.92
## 2569 5.3665631  8.329687 2078.916 17316.72
## 2570 5.1884487  8.415584 2068.279 17405.78
## 2571 5.0119856  8.501119 2057.848 17494.01
## 2572 4.8373546  8.586192 2047.628 17581.32
## 2573 4.6647615  8.670688 2037.626 17667.62
## 2574 4.4944410  8.754477 2027.851 17752.78
## 2575 4.3266615  8.837410 2018.314 17836.67
## 2576 4.1617304  8.919316 2009.026 17919.13
## 2577 4.0000000  9.000000 2000.000 18000.00
## 2578 3.8418745  9.079236 1991.254 18079.06
## 2579 3.6878178  9.156768 1982.806 18156.09
## 2580 3.5383612  9.232299 1974.678 18230.82
## 2581 3.3941125  9.305493 1966.897 18302.94
## 2582 3.2557641  9.375964 1959.491 18372.12
## 2583 3.1240999  9.443278 1952.495 18437.95
## 2584 3.0000000  9.506944 1945.946 18500.00
## 2585 2.8844410  9.566422 1939.887 18557.78
## 2586 2.7784888  9.621117 1934.365 18610.76
## 2587 2.6832816  9.670399 1929.430 18658.36
## 2588 2.6000000  9.713611 1925.134 18700.00
## 2589 2.5298221  9.750099 1921.528 18735.09
## 2590 2.4738634  9.779243 1918.663 18763.07
## 2591 2.4331050  9.800497 1916.581 18783.45
## 2592 2.4083189  9.813434 1915.317 18795.84
## 2593 2.4000000  9.817778 1914.894 18800.00
## 2594 2.4083189  9.813434 1915.317 18795.84
## 2595 2.4331050  9.800497 1916.581 18783.45
## 2596 2.4738634  9.779243 1918.663 18763.07
## 2597 2.5298221  9.750099 1921.528 18735.09
## 2598 2.6000000  9.713611 1925.134 18700.00
## 2599 2.6832816  9.670399 1929.430 18658.36
## 2600 2.7784888  9.621117 1934.365 18610.76
## 2601 2.8844410  9.566422 1939.887 18557.78
## 2602 3.0000000  9.506944 1945.946 18500.00
## 2603 3.1240999  9.443278 1952.495 18437.95
## 2604 3.2557641  9.375964 1959.491 18372.12
## 2605 3.3941125  9.305493 1966.897 18302.94
## 2606 3.5383612  9.232299 1974.678 18230.82
## 2607 3.6878178  9.156768 1982.806 18156.09
## 2608 3.8418745  9.079236 1991.254 18079.06
## 2609 4.0000000  9.000000 2000.000 18000.00
## 2610 4.1617304  8.919316 2009.026 17919.13
## 2611 4.3266615  8.837410 2018.314 17836.67
## 2612 4.4944410  8.754477 2027.851 17752.78
## 2613 4.6647615  8.670688 2037.626 17667.62
## 2614 4.8373546  8.586192 2047.628 17581.32
## 2615 5.0119856  8.501119 2057.848 17494.01
## 2616 5.1884487  8.415584 2068.279 17405.78
## 2617 5.3665631  8.329687 2078.916 17316.72
## 2618 5.5461698  8.243517 2089.753 17226.92
## 2619 5.7271284  8.157151 2100.787 17136.44
## 2620 5.9093147  8.070659 2112.014 17045.34
## 2621 6.0926185  7.984101 2123.431 16953.69
## 2622 6.2769419  7.897532 2135.038 16861.53
## 2623 6.4621978  7.811001 2146.831 16768.90
## 2624 6.5391131  7.775215 2151.766 16730.44
## 2625 6.3560994  7.860500 2140.061 16821.95
## 2626 6.1741396  7.945756 2128.549 16912.93
## 2627 5.9933296  8.030928 2117.232 17003.34
## 2628 5.8137767  8.115957 2106.112 17093.11
## 2629 5.6356011  8.200777 2095.192 17182.20
## 2630 5.4589376  8.285312 2084.476 17270.53
## 2631 5.2839379  8.369479 2073.968 17358.03
## 2632 5.1107729  8.453182 2063.674 17444.61
## 2633 4.9396356  8.536314 2053.601 17530.18
## 2634 4.7707442  8.618753 2043.756 17614.63
## 2635 4.6043458  8.700363 2034.148 17697.83
## 2636 4.4407207  8.780989 2024.788 17779.64
## 2637 4.2801869  8.860452 2015.688 17859.91
## 2638 4.1231056  8.938552 2006.863 17938.45
## 2639 3.9698866  9.015063 1998.328 18015.06
## 2640 3.8209946  9.089725 1990.104 18089.50
## 2641 3.6769553  9.162247 1982.213 18161.52
## 2642 3.5383612  9.232299 1974.678 18230.82
## 2643 3.4058773  9.299513 1967.529 18297.06
## 2644 3.2802439  9.363476 1960.797 18359.88
## 2645 3.1622777  9.423735 1954.518 18418.86
## 2646 3.0528675  9.479796 1948.730 18473.57
## 2647 2.9529646  9.531131 1943.475 18523.52
## 2648 2.8635642  9.577187 1938.797 18568.22
## 2649 2.7856777  9.617401 1934.739 18607.16
## 2650 2.7202941  9.651225 1931.346 18639.85
## 2651 2.6683328  9.678148 1928.658 18665.83
## 2652 2.6305893  9.697728 1926.710 18684.71
## 2653 2.6076810  9.709622 1925.529 18696.16
## 2654 2.6000000  9.713611 1925.134 18700.00
## 2655 2.6076810  9.709622 1925.529 18696.16
## 2656 2.6305893  9.697728 1926.710 18684.71
## 2657 2.6683328  9.678148 1928.658 18665.83
## 2658 2.7202941  9.651225 1931.346 18639.85
## 2659 2.7856777  9.617401 1934.739 18607.16
## 2660 2.8635642  9.577187 1938.797 18568.22
## 2661 2.9529646  9.531131 1943.475 18523.52
## 2662 3.0528675  9.479796 1948.730 18473.57
## 2663 3.1622777  9.423735 1954.518 18418.86
## 2664 3.2802439  9.363476 1960.797 18359.88
## 2665 3.4058773  9.299513 1967.529 18297.06
## 2666 3.5383612  9.232299 1974.678 18230.82
## 2667 3.6769553  9.162247 1982.213 18161.52
## 2668 3.8209946  9.089725 1990.104 18089.50
## 2669 3.9698866  9.015063 1998.328 18015.06
## 2670 4.1231056  8.938552 2006.863 17938.45
## 2671 4.2801869  8.860452 2015.688 17859.91
## 2672 4.4407207  8.780989 2024.788 17779.64
## 2673 4.6043458  8.700363 2034.148 17697.83
## 2674 4.7707442  8.618753 2043.756 17614.63
## 2675 4.9396356  8.536314 2053.601 17530.18
## 2676 5.1107729  8.453182 2063.674 17444.61
## 2677 5.2839379  8.369479 2073.968 17358.03
## 2678 5.4589376  8.285312 2084.476 17270.53
## 2679 5.6356011  8.200777 2095.192 17182.20
## 2680 5.8137767  8.115957 2106.112 17093.11
## 2681 5.9933296  8.030928 2117.232 17003.34
## 2682 6.1741396  7.945756 2128.549 16912.93
## 2683 6.3560994  7.860500 2140.061 16821.95
## 2684 6.5391131  7.775215 2151.766 16730.44
## 2685 6.6211781  7.737123 2157.056 16689.41
## 2686 6.4404969  7.821113 2145.443 16779.75
## 2687 6.2609903  7.905005 2134.028 16869.50
## 2688 6.0827625  7.988743 2122.814 16958.62
## 2689 5.9059292  8.072262 2111.804 17047.04
## 2690 5.7306195  8.155489 2101.001 17134.69
## 2691 5.5569776  8.238346 2090.409 17221.51
## 2692 5.3851648  8.320742 2080.033 17307.42
## 2693 5.2153619  8.402577 2069.879 17392.32
## 2694 5.0477718  8.483738 2059.955 17476.11
## 2695 4.8826222  8.564099 2050.267 17558.69
## 2696 4.7201695  8.643517 2040.826 17639.92
## 2697 4.5607017  8.721832 2031.643 17719.65
## 2698 4.4045431  8.798865 2022.730 17797.73
## 2699 4.2520583  8.874412 2014.102 17873.97
## 2700 4.1036569  8.948246 2005.775 17948.17
## 2701 3.9597980  9.020112 1997.769 18020.10
## 2702 3.8209946  9.089725 1990.104 18089.50
## 2703 3.6878178  9.156768 1982.806 18156.09
## 2704 3.5608988  9.220890 1975.899 18219.55
## 2705 3.4409301  9.281705 1969.416 18279.53
## 2706 3.3286634  9.338798 1963.386 18335.67
## 2707 3.2249031  9.391721 1957.847 18387.55
## 2708 3.1304952  9.440003 1952.833 18434.75
## 2709 3.0463092  9.483162 1948.385 18476.85
## 2710 2.9732137  9.520715 1944.538 18513.39
## 2711 2.9120440  9.552198 1941.331 18543.98
## 2712 2.8635642  9.577187 1938.797 18568.22
## 2713 2.8284271  9.595318 1936.964 18585.79
## 2714 2.8071338  9.606315 1935.855 18596.43
## 2715 2.8000000  9.610000 1935.484 18600.00
## 2716 2.8071338  9.606315 1935.855 18596.43
## 2717 2.8284271  9.595318 1936.964 18585.79
## 2718 2.8635642  9.577187 1938.797 18568.22
## 2719 2.9120440  9.552198 1941.331 18543.98
## 2720 2.9732137  9.520715 1944.538 18513.39
## 2721 3.0463092  9.483162 1948.385 18476.85
## 2722 3.1304952  9.440003 1952.833 18434.75
## 2723 3.2249031  9.391721 1957.847 18387.55
## 2724 3.3286634  9.338798 1963.386 18335.67
## 2725 3.4409301  9.281705 1969.416 18279.53
## 2726 3.5608988  9.220890 1975.899 18219.55
## 2727 3.6878178  9.156768 1982.806 18156.09
## 2728 3.8209946  9.089725 1990.104 18089.50
## 2729 3.9597980  9.020112 1997.769 18020.10
## 2730 4.1036569  8.948246 2005.775 17948.17
## 2731 4.2520583  8.874412 2014.102 17873.97
## 2732 4.4045431  8.798865 2022.730 17797.73
## 2733 4.5607017  8.721832 2031.643 17719.65
## 2734 4.7201695  8.643517 2040.826 17639.92
## 2735 4.8826222  8.564099 2050.267 17558.69
## 2736 5.0477718  8.483738 2059.955 17476.11
## 2737 5.2153619  8.402577 2069.879 17392.32
## 2738 5.3851648  8.320742 2080.033 17307.42
## 2739 5.5569776  8.238346 2090.409 17221.51
## 2740 5.7306195  8.155489 2101.001 17134.69
## 2741 5.9059292  8.072262 2111.804 17047.04
## 2742 6.0827625  7.988743 2122.814 16958.62
## 2743 6.2609903  7.905005 2134.028 16869.50
## 2744 6.4404969  7.821113 2145.443 16779.75
## 2745 6.6211781  7.737123 2157.056 16689.41
## 2746 6.7082039  7.696831 2162.695 16645.90
## 2747 6.5299311  7.779483 2151.176 16735.03
## 2748 6.3529521  7.861971 2139.861 16823.52
## 2749 6.1773781  7.944234 2128.753 16911.31
## 2750 6.0033324  8.026204 2117.855 16998.33
## 2751 5.8309519  8.107805 2107.170 17084.52
## 2752 5.6603887  8.188951 2096.704 17169.81
## 2753 5.4918121  8.269549 2086.461 17254.09
## 2754 5.3254108  8.349494 2076.449 17337.29
## 2755 5.1613952  8.428669 2066.673 17419.30
## 2756 5.0000000  8.506944 2057.143 17500.00
## 2757 4.8414874  8.584174 2047.868 17579.26
## 2758 4.6861498  8.660195 2038.860 17656.93
## 2759 4.5343136  8.734826 2030.131 17732.84
## 2760 4.3863424  8.807865 2021.696 17806.83
## 2761 4.2426407  8.879089 2013.572 17878.68
## 2762 4.1036569  8.948246 2005.775 17948.17
## 2763 3.9698866  9.015063 1998.328 18015.06
## 2764 3.8418745  9.079236 1991.254 18079.06
## 2765 3.7202150  9.140436 1984.576 18139.89
## 2766 3.6055513  9.198305 1978.324 18197.22
## 2767 3.4985711  9.252460 1972.526 18250.71
## 2768 3.4000000  9.302500 1967.213 18300.00
## 2769 3.3105891  9.348006 1962.419 18344.71
## 2770 3.2310989  9.388556 1958.177 18384.45
## 2771 3.1622777  9.423735 1954.518 18418.86
## 2772 3.1048349  9.453147 1951.475 18447.58
## 2773 3.0594117  9.476438 1949.076 18470.29
## 2774 3.0265492  9.493306 1947.343 18486.73
## 2775 3.0066593  9.503523 1946.296 18496.67
## 2776 3.0000000  9.506944 1945.946 18500.00
## 2777 3.0066593  9.503523 1946.296 18496.67
## 2778 3.0265492  9.493306 1947.343 18486.73
## 2779 3.0594117  9.476438 1949.076 18470.29
## 2780 3.1048349  9.453147 1951.475 18447.58
## 2781 3.1622777  9.423735 1954.518 18418.86
## 2782 3.2310989  9.388556 1958.177 18384.45
## 2783 3.3105891  9.348006 1962.419 18344.71
## 2784 3.4000000  9.302500 1967.213 18300.00
## 2785 3.4985711  9.252460 1972.526 18250.71
## 2786 3.6055513  9.198305 1978.324 18197.22
## 2787 3.7202150  9.140436 1984.576 18139.89
## 2788 3.8418745  9.079236 1991.254 18079.06
## 2789 3.9698866  9.015063 1998.328 18015.06
## 2790 4.1036569  8.948246 2005.775 17948.17
## 2791 4.2426407  8.879089 2013.572 17878.68
## 2792 4.3863424  8.807865 2021.696 17806.83
## 2793 4.5343136  8.734826 2030.131 17732.84
## 2794 4.6861498  8.660195 2038.860 17656.93
## 2795 4.8414874  8.584174 2047.868 17579.26
## 2796 5.0000000  8.506944 2057.143 17500.00
## 2797 5.1613952  8.428669 2066.673 17419.30
## 2798 5.3254108  8.349494 2076.449 17337.29
## 2799 5.4918121  8.269549 2086.461 17254.09
## 2800 5.6603887  8.188951 2096.704 17169.81
## 2801 5.8309519  8.107805 2107.170 17084.52
## 2802 6.0033324  8.026204 2117.855 16998.33
## 2803 6.1773781  7.944234 2128.753 16911.31
## 2804 6.3529521  7.861971 2139.861 16823.52
## 2805 6.5299311  7.779483 2151.176 16735.03
## 2806 6.7082039  7.696831 2162.695 16645.90
## 2807 6.8000000  7.654444 2168.675 16600.00
## 2808 6.6241981  7.735723 2157.252 16687.90
## 2809 6.4498062  7.816774 2146.038 16775.10
## 2810 6.2769419  7.897532 2135.038 16861.53
## 2811 6.1057350  7.977925 2124.253 16947.13
## 2812 5.9363288  8.057873 2113.689 17031.84
## 2813 5.7688820  8.137288 2103.349 17115.56
## 2814 5.6035703  8.216072 2093.241 17198.21
## 2815 5.4405882  8.294118 2083.369 17279.71
## 2816 5.2801515  8.371305 2073.742 17359.92
## 2817 5.1224994  8.447500 2064.368 17438.75
## 2818 4.9678969  8.522557 2055.258 17516.05
## 2819 4.8166378  8.596312 2046.422 17591.68
## 2820 4.6690470  8.668585 2037.873 17665.48
## 2821 4.5254834  8.739176 2029.626 17737.26
## 2822 4.3863424  8.807865 2021.696 17806.83
## 2823 4.2520583  8.874412 2014.102 17873.97
## 2824 4.1231056  8.938552 2006.863 17938.45
## 2825 4.0000000  9.000000 2000.000 18000.00
## 2826 3.8832976  9.058446 1993.537 18058.35
## 2827 3.7735925  9.113560 1987.500 18113.20
## 2828 3.6715120  9.164993 1981.916 18164.24
## 2829 3.5777088  9.212384 1976.811 18211.15
## 2830 3.4928498  9.255361 1972.216 18253.58
## 2831 3.4176015  9.293555 1968.160 18291.20
## 2832 3.3526109  9.326605 1964.669 18323.69
## 2833 3.2984845  9.354175 1961.772 18350.76
## 2834 3.2557641  9.375964 1959.491 18372.12
## 2835 3.2249031  9.391721 1957.847 18387.55
## 2836 3.2062439  9.401253 1956.854 18396.88
## 2837 3.2000000  9.404444 1956.522 18400.00
## 2838 3.2062439  9.401253 1956.854 18396.88
## 2839 3.2249031  9.391721 1957.847 18387.55
## 2840 3.2557641  9.375964 1959.491 18372.12
## 2841 3.2984845  9.354175 1961.772 18350.76
## 2842 3.3526109  9.326605 1964.669 18323.69
## 2843 3.4176015  9.293555 1968.160 18291.20
## 2844 3.4928498  9.255361 1972.216 18253.58
## 2845 3.5777088  9.212384 1976.811 18211.15
## 2846 3.6715120  9.164993 1981.916 18164.24
## 2847 3.7735925  9.113560 1987.500 18113.20
## 2848 3.8832976  9.058446 1993.537 18058.35
## 2849 4.0000000  9.000000 2000.000 18000.00
## 2850 4.1231056  8.938552 2006.863 17938.45
## 2851 4.2520583  8.874412 2014.102 17873.97
## 2852 4.3863424  8.807865 2021.696 17806.83
## 2853 4.5254834  8.739176 2029.626 17737.26
## 2854 4.6690470  8.668585 2037.873 17665.48
## 2855 4.8166378  8.596312 2046.422 17591.68
## 2856 4.9678969  8.522557 2055.258 17516.05
## 2857 5.1224994  8.447500 2064.368 17438.75
## 2858 5.2801515  8.371305 2073.742 17359.92
## 2859 5.4405882  8.294118 2083.369 17279.71
## 2860 5.6035703  8.216072 2093.241 17198.21
## 2861 5.7688820  8.137288 2103.349 17115.56
## 2862 5.9363288  8.057873 2113.689 17031.84
## 2863 6.1057350  7.977925 2124.253 16947.13
## 2864 6.2769419  7.897532 2135.038 16861.53
## 2865 6.4498062  7.816774 2146.038 16775.10
## 2866 6.6241981  7.735723 2157.252 16687.90
## 2867 6.8000000  7.654444 2168.675 16600.00
## 2868 6.8963759  7.610069 2174.988 16551.81
## 2869 6.7230945  7.689947 2163.663 16638.45
## 2870 6.5513357  7.769536 2152.552 16724.33
## 2871 6.3812225  7.848765 2141.660 16809.39
## 2872 6.2128898  7.927561 2130.990 16893.56
## 2873 6.0464866  8.005841 2120.546 16976.76
## 2874 5.8821765  8.083513 2110.334 17058.91
## 2875 5.7201399  8.160478 2100.359 17139.93
## 2876 5.5605755  8.236625 2090.627 17219.71
## 2877 5.4037024  8.311832 2081.148 17298.15
## 2878 5.2497619  8.385966 2071.928 17375.12
## 2879 5.0990195  8.458878 2062.979 17450.49
## 2880 4.9517674  8.530407 2054.312 17524.12
## 2881 4.8083261  8.600374 2045.938 17595.84
## 2882 4.6690470  8.668585 2037.873 17665.48
## 2883 4.5343136  8.734826 2030.131 17732.84
## 2884 4.4045431  8.798865 2022.730 17797.73
## 2885 4.2801869  8.860452 2015.688 17859.91
## 2886 4.1617304  8.919316 2009.026 17919.13
## 2887 4.0496913  8.975171 2002.764 17975.15
## 2888 3.9446166  9.027713 1996.928 18027.69
## 2889 3.8470768  9.076624 1991.540 18076.46
## 2890 3.7576588  9.121578 1986.627 18121.17
## 2891 3.6769553  9.162247 1982.213 18161.52
## 2892 3.6055513  9.198305 1978.324 18197.22
## 2893 3.5440090  9.229439 1974.984 18228.00
## 2894 3.4928498  9.255361 1972.216 18253.58
## 2895 3.4525353  9.275814 1970.041 18273.73
## 2896 3.4234486  9.290584 1968.474 18288.28
## 2897 3.4058773  9.299513 1967.529 18297.06
## 2898 3.4000000  9.302500 1967.213 18300.00
## 2899 3.4058773  9.299513 1967.529 18297.06
## 2900 3.4234486  9.290584 1968.474 18288.28
## 2901 3.4525353  9.275814 1970.041 18273.73
## 2902 3.4928498  9.255361 1972.216 18253.58
## 2903 3.5440090  9.229439 1974.984 18228.00
## 2904 3.6055513  9.198305 1978.324 18197.22
## 2905 3.6769553  9.162247 1982.213 18161.52
## 2906 3.7576588  9.121578 1986.627 18121.17
## 2907 3.8470768  9.076624 1991.540 18076.46
## 2908 3.9446166  9.027713 1996.928 18027.69
## 2909 4.0496913  8.975171 2002.764 17975.15
## 2910 4.1617304  8.919316 2009.026 17919.13
## 2911 4.2801869  8.860452 2015.688 17859.91
## 2912 4.4045431  8.798865 2022.730 17797.73
## 2913 4.5343136  8.734826 2030.131 17732.84
## 2914 4.6690470  8.668585 2037.873 17665.48
## 2915 4.8083261  8.600374 2045.938 17595.84
## 2916 4.9517674  8.530407 2054.312 17524.12
## 2917 5.0990195  8.458878 2062.979 17450.49
## 2918 5.2497619  8.385966 2071.928 17375.12
## 2919 5.4037024  8.311832 2081.148 17298.15
## 2920 5.5605755  8.236625 2090.627 17219.71
## 2921 5.7201399  8.160478 2100.359 17139.93
## 2922 5.8821765  8.083513 2110.334 17058.91
## 2923 6.0464866  8.005841 2120.546 16976.76
## 2924 6.2128898  7.927561 2130.990 16893.56
## 2925 6.3812225  7.848765 2141.660 16809.39
## 2926 6.5513357  7.769536 2152.552 16724.33
## 2927 6.7230945  7.689947 2163.663 16638.45
## 2928 6.8963759  7.610069 2174.988 16551.81
## 2929 6.9971423  7.563810 2181.629 16501.43
## 2930 6.8264193  7.642267 2170.402 16586.79
## 2931 6.6573268  7.720374 2159.395 16671.34
## 2932 6.4899923  7.798060 2148.612 16755.00
## 2933 6.3245553  7.875247 2138.056 16837.72
## 2934 6.1611687  7.951851 2127.733 16919.42
## 2935 6.0000000  8.027778 2117.647 17000.00
## 2936 5.8412327  8.102926 2107.804 17079.38
## 2937 5.6850682  8.177184 2098.212 17157.47
## 2938 5.5317267  8.250430 2088.877 17234.14
## 2939 5.3814496  8.322528 2079.810 17309.28
## 2940 5.2345009  8.393333 2071.019 17382.75
## 2941 5.0911688  8.462684 2062.515 17454.42
## 2942 4.9517674  8.530407 2054.312 17524.12
## 2943 4.8166378  8.596312 2046.422 17591.68
## 2944 4.6861498  8.660195 2038.860 17656.93
## 2945 4.5607017  8.721832 2031.643 17719.65
## 2946 4.4407207  8.780989 2024.788 17779.64
## 2947 4.3266615  8.837410 2018.314 17836.67
## 2948 4.2190046  8.890831 2012.241 17890.50
## 2949 4.1182521  8.940971 2006.591 17940.87
## 2950 4.0249224  8.987543 2001.386 17987.54
## 2951 3.9395431  9.030254 1996.647 18030.23
## 2952 3.8626416  9.068810 1992.398 18068.68
## 2953 3.7947332  9.102926 1988.661 18102.63
## 2954 3.7363083  9.132329 1985.457 18131.85
## 2955 3.6878178  9.156768 1982.806 18156.09
## 2956 3.6496575  9.176024 1980.724 18175.17
## 2957 3.6221541  9.189914 1979.227 18188.92
## 2958 3.6055513  9.198305 1978.324 18197.22
## 2959 3.6000000  9.201111 1978.022 18200.00
## 2960 3.6055513  9.198305 1978.324 18197.22
## 2961 3.6221541  9.189914 1979.227 18188.92
## 2962 3.6496575  9.176024 1980.724 18175.17
## 2963 3.6878178  9.156768 1982.806 18156.09
## 2964 3.7363083  9.132329 1985.457 18131.85
## 2965 3.7947332  9.102926 1988.661 18102.63
## 2966 3.8626416  9.068810 1992.398 18068.68
## 2967 3.9395431  9.030254 1996.647 18030.23
## 2968 4.0249224  8.987543 2001.386 17987.54
## 2969 4.1182521  8.940971 2006.591 17940.87
## 2970 4.2190046  8.890831 2012.241 17890.50
## 2971 4.3266615  8.837410 2018.314 17836.67
## 2972 4.4407207  8.780989 2024.788 17779.64
## 2973 4.5607017  8.721832 2031.643 17719.65
## 2974 4.6861498  8.660195 2038.860 17656.93
## 2975 4.8166378  8.596312 2046.422 17591.68
## 2976 4.9517674  8.530407 2054.312 17524.12
## 2977 5.0911688  8.462684 2062.515 17454.42
## 2978 5.2345009  8.393333 2071.019 17382.75
## 2979 5.3814496  8.322528 2079.810 17309.28
## 2980 5.5317267  8.250430 2088.877 17234.14
## 2981 5.6850682  8.177184 2098.212 17157.47
## 2982 5.8412327  8.102926 2107.804 17079.38
## 2983 6.0000000  8.027778 2117.647 17000.00
## 2984 6.1611687  7.951851 2127.733 16919.42
## 2985 6.3245553  7.875247 2138.056 16837.72
## 2986 6.4899923  7.798060 2148.612 16755.00
## 2987 6.6573268  7.720374 2159.395 16671.34
## 2988 6.8264193  7.642267 2170.402 16586.79
## 2989 6.9971423  7.563810 2181.629 16501.43
## 2990 7.1021124  7.515771 2188.590 16448.94
## 2991 6.9339743  7.592792 2177.462 16533.01
## 2992 6.7675697  7.669406 2166.558 16616.22
## 2993 6.6030296  7.745539 2155.884 16698.49
## 2994 6.4404969  7.821113 2145.443 16779.75
## 2995 6.2801274  7.896040 2135.239 16859.94
## 2996 6.1220911  7.970227 2125.279 16938.95
## 2997 5.9665736  8.043570 2115.567 17016.71
## 2998 5.8137767  8.115957 2106.112 17093.11
## 2999 5.6639209  8.187266 2096.920 17168.04
## 3000 5.5172457  8.257364 2088.000 17241.38
## 3001 5.3740115  8.326105 2079.363 17312.99
## 3002 5.2345009  8.393333 2071.019 17382.75
## 3003 5.0990195  8.458878 2062.979 17450.49
## 3004 4.9678969  8.522557 2055.258 17516.05
## 3005 4.8414874  8.584174 2047.868 17579.26
## 3006 4.7201695  8.643517 2040.826 17639.92
## 3007 4.6043458  8.700363 2034.148 17697.83
## 3008 4.4944410  8.754477 2027.851 17752.78
## 3009 4.3908997  8.805611 2021.955 17804.55
## 3010 4.2941821  8.853510 2016.478 17852.91
## 3011 4.2047592  8.897912 2011.441 17897.62
## 3012 4.1231056  8.938552 2006.863 17938.45
## 3013 4.0496913  8.975171 2002.764 17975.15
## 3014 3.9849718  9.007516 1999.165 18007.51
## 3015 3.9293765  9.035346 1996.084 18035.31
## 3016 3.8832976  9.058446 1993.537 18058.35
## 3017 3.8470768  9.076624 1991.540 18076.46
## 3018 3.8209946  9.089725 1990.104 18089.50
## 3019 3.8052595  9.097634 1989.239 18097.37
## 3020 3.8000000  9.100278 1988.950 18100.00
## 3021 3.8052595  9.097634 1989.239 18097.37
## 3022 3.8209946  9.089725 1990.104 18089.50
## 3023 3.8470768  9.076624 1991.540 18076.46
## 3024 3.8832976  9.058446 1993.537 18058.35
## 3025 3.9293765  9.035346 1996.084 18035.31
## 3026 3.9849718  9.007516 1999.165 18007.51
## 3027 4.0496913  8.975171 2002.764 17975.15
## 3028 4.1231056  8.938552 2006.863 17938.45
## 3029 4.2047592  8.897912 2011.441 17897.62
## 3030 4.2941821  8.853510 2016.478 17852.91
## 3031 4.3908997  8.805611 2021.955 17804.55
## 3032 4.4944410  8.754477 2027.851 17752.78
## 3033 4.6043458  8.700363 2034.148 17697.83
## 3034 4.7201695  8.643517 2040.826 17639.92
## 3035 4.8414874  8.584174 2047.868 17579.26
## 3036 4.9678969  8.522557 2055.258 17516.05
## 3037 5.0990195  8.458878 2062.979 17450.49
## 3038 5.2345009  8.393333 2071.019 17382.75
## 3039 5.3740115  8.326105 2079.363 17312.99
## 3040 5.5172457  8.257364 2088.000 17241.38
## 3041 5.6639209  8.187266 2096.920 17168.04
## 3042 5.8137767  8.115957 2106.112 17093.11
## 3043 5.9665736  8.043570 2115.567 17016.71
## 3044 6.1220911  7.970227 2125.279 16938.95
## 3045 6.2801274  7.896040 2135.239 16859.94
## 3046 6.4404969  7.821113 2145.443 16779.75
## 3047 6.6030296  7.745539 2155.884 16698.49
## 3048 6.7675697  7.669406 2166.558 16616.22
## 3049 6.9339743  7.592792 2177.462 16533.01
## 3050 7.1021124  7.515771 2188.590 16448.94
## 3051 7.2111026  7.466054 2195.865 16394.45
## 3052 7.0455660  7.541630 2184.835 16477.22
## 3053 6.8818602  7.616744 2174.035 16559.07
## 3054 6.7201190  7.691323 2163.469 16639.94
## 3055 6.5604878  7.765285 2153.141 16719.76
## 3056 6.4031242  7.838542 2143.056 16798.44
## 3057 6.2481997  7.911000 2133.220 16875.90
## 3058 6.0959003  7.982555 2123.637 16952.05
## 3059 5.9464275  8.053096 2114.316 17026.79
## 3060 5.8000000  8.122500 2105.263 17100.00
## 3061 5.6568542  8.190637 2096.488 17171.57
## 3062 5.5172457  8.257364 2088.000 17241.38
## 3063 5.3814496  8.322528 2079.810 17309.28
## 3064 5.2497619  8.385966 2071.928 17375.12
## 3065 5.1224994  8.447500 2064.368 17438.75
## 3066 5.0000000  8.506944 2057.143 17500.00
## 3067 4.8826222  8.564099 2050.267 17558.69
## 3068 4.7707442  8.618753 2043.756 17614.63
## 3069 4.6647615  8.670688 2037.626 17667.62
## 3070 4.5650849  8.719675 2031.894 17717.46
## 3071 4.4721360  8.765480 2026.578 17763.93
## 3072 4.3863424  8.807865 2021.696 17806.83
## 3073 4.3081318  8.846593 2017.266 17845.93
## 3074 4.2379240  8.881431 2013.306 17881.04
## 3075 4.1761226  8.912154 2009.833 17911.94
## 3076 4.1231056  8.938552 2006.863 17938.45
## 3077 4.0792156  8.960436 2004.411 17960.39
## 3078 4.0447497  8.977639 2002.489 17977.63
## 3079 4.0199502  8.990028 2001.109 17990.02
## 3080 4.0049969  8.997502 2000.278 17997.50
## 3081 4.0000000  9.000000 2000.000 18000.00
## 3082 4.0049969  8.997502 2000.278 17997.50
## 3083 4.0199502  8.990028 2001.109 17990.02
## 3084 4.0447497  8.977639 2002.489 17977.63
## 3085 4.0792156  8.960436 2004.411 17960.39
## 3086 4.1231056  8.938552 2006.863 17938.45
## 3087 4.1761226  8.912154 2009.833 17911.94
## 3088 4.2379240  8.881431 2013.306 17881.04
## 3089 4.3081318  8.846593 2017.266 17845.93
## 3090 4.3863424  8.807865 2021.696 17806.83
## 3091 4.4721360  8.765480 2026.578 17763.93
## 3092 4.5650849  8.719675 2031.894 17717.46
## 3093 4.6647615  8.670688 2037.626 17667.62
## 3094 4.7707442  8.618753 2043.756 17614.63
## 3095 4.8826222  8.564099 2050.267 17558.69
## 3096 5.0000000  8.506944 2057.143 17500.00
## 3097 5.1224994  8.447500 2064.368 17438.75
## 3098 5.2497619  8.385966 2071.928 17375.12
## 3099 5.3814496  8.322528 2079.810 17309.28
## 3100 5.5172457  8.257364 2088.000 17241.38
## 3101 5.6568542  8.190637 2096.488 17171.57
## 3102 5.8000000  8.122500 2105.263 17100.00
## 3103 5.9464275  8.053096 2114.316 17026.79
## 3104 6.0959003  7.982555 2123.637 16952.05
## 3105 6.2481997  7.911000 2133.220 16875.90
## 3106 6.4031242  7.838542 2143.056 16798.44
## 3107 6.5604878  7.765285 2153.141 16719.76
## 3108 6.7201190  7.691323 2163.469 16639.94
## 3109 6.8818602  7.616744 2174.035 16559.07
## 3110 7.0455660  7.541630 2184.835 16477.22
## 3111 7.2111026  7.466054 2195.865 16394.45
## 3112 7.3239334  7.414759 2203.448 16338.03
## 3113 7.1610055  7.488886 2192.515 16419.50
## 3114 7.0000000  7.562500 2181.818 16500.00
## 3115 6.8410526  7.635526 2171.360 16579.47
## 3116 6.6843100  7.707883 2161.144 16657.85
## 3117 6.5299311  7.779483 2151.176 16735.03
## 3118 6.3780875  7.850229 2141.461 16810.96
## 3119 6.2289646  7.920020 2132.005 16885.52
## 3120 6.0827625  7.988743 2122.814 16958.62
## 3121 5.9396970  8.056279 2113.898 17030.15
## 3122 5.8000000  8.122500 2105.263 17100.00
## 3123 5.6639209  8.187266 2096.920 17168.04
## 3124 5.5317267  8.250430 2088.877 17234.14
## 3125 5.4037024  8.311832 2081.148 17298.15
## 3126 5.2801515  8.371305 2073.742 17359.92
## 3127 5.1613952  8.428669 2066.673 17419.30
## 3128 5.0477718  8.483738 2059.955 17476.11
## 3129 4.9396356  8.536314 2053.601 17530.18
## 3130 4.8373546  8.586192 2047.628 17581.32
## 3131 4.7413078  8.633162 2042.050 17629.35
## 3132 4.6518813  8.677010 2036.884 17674.06
## 3133 4.5694639  8.717520 2032.145 17715.27
## 3134 4.4944410  8.754477 2027.851 17752.78
## 3135 4.4271887  8.787673 2024.018 17786.41
## 3136 4.3680659  8.816908 2020.659 17815.97
## 3137 4.3174066  8.841996 2017.791 17841.30
## 3138 4.2755117  8.862771 2015.424 17862.24
## 3139 4.2426407  8.879089 2013.572 17878.68
## 3140 4.2190046  8.890831 2012.241 17890.50
## 3141 4.2047592  8.897912 2011.441 17897.62
## 3142 4.2000000  8.900278 2011.173 17900.00
## 3143 4.2047592  8.897912 2011.441 17897.62
## 3144 4.2190046  8.890831 2012.241 17890.50
## 3145 4.2426407  8.879089 2013.572 17878.68
## 3146 4.2755117  8.862771 2015.424 17862.24
## 3147 4.3174066  8.841996 2017.791 17841.30
## 3148 4.3680659  8.816908 2020.659 17815.97
## 3149 4.4271887  8.787673 2024.018 17786.41
## 3150 4.4944410  8.754477 2027.851 17752.78
## 3151 4.5694639  8.717520 2032.145 17715.27
## 3152 4.6518813  8.677010 2036.884 17674.06
## 3153 4.7413078  8.633162 2042.050 17629.35
## 3154 4.8373546  8.586192 2047.628 17581.32
## 3155 4.9396356  8.536314 2053.601 17530.18
## 3156 5.0477718  8.483738 2059.955 17476.11
## 3157 5.1613952  8.428669 2066.673 17419.30
## 3158 5.2801515  8.371305 2073.742 17359.92
## 3159 5.4037024  8.311832 2081.148 17298.15
## 3160 5.5317267  8.250430 2088.877 17234.14
## 3161 5.6639209  8.187266 2096.920 17168.04
## 3162 5.8000000  8.122500 2105.263 17100.00
## 3163 5.9396970  8.056279 2113.898 17030.15
## 3164 6.0827625  7.988743 2122.814 16958.62
## 3165 6.2289646  7.920020 2132.005 16885.52
## 3166 6.3780875  7.850229 2141.461 16810.96
## 3167 6.5299311  7.779483 2151.176 16735.03
## 3168 6.6843100  7.707883 2161.144 16657.85
## 3169 6.8410526  7.635526 2171.360 16579.47
## 3170 7.0000000  7.562500 2181.818 16500.00
## 3171 7.1610055  7.488886 2192.515 16419.50
## 3172 7.3239334  7.414759 2203.448 16338.03
## 3173 7.4404301  7.361983 2211.331 16279.78
## 3174 7.2801099  7.434661 2200.496 16359.95
## 3175 7.1217975  7.506779 2189.901 16439.10
## 3176 6.9656299  7.578261 2179.548 16517.19
## 3177 6.8117545  7.649025 2169.443 16594.12
## 3178 6.6603303  7.718983 2159.589 16669.83
## 3179 6.5115282  7.788040 2149.994 16744.24
## 3180 6.3655322  7.856093 2140.661 16817.23
## 3181 6.2225397  7.923034 2131.599 16888.73
## 3182 6.0827625  7.988743 2122.814 16958.62
## 3183 5.9464275  8.053096 2114.316 17026.79
## 3184 5.8137767  8.115957 2106.112 17093.11
## 3185 5.6850682  8.177184 2098.212 17157.47
## 3186 5.5605755  8.236625 2090.627 17219.71
## 3187 5.4405882  8.294118 2083.369 17279.71
## 3188 5.3254108  8.349494 2076.449 17337.29
## 3189 5.2153619  8.402577 2069.879 17392.32
## 3190 5.1107729  8.453182 2063.674 17444.61
## 3191 5.0119856  8.501119 2057.848 17494.01
## 3192 4.9193496  8.546195 2052.413 17540.33
## 3193 4.8332184  8.588212 2047.387 17583.39
## 3194 4.7539457  8.626975 2042.782 17623.03
## 3195 4.6818800  8.662289 2038.614 17659.06
## 3196 4.6173586  8.693967 2034.896 17691.32
## 3197 4.5607017  8.721832 2031.643 17719.65
## 3198 4.5122057  8.745719 2028.867 17743.90
## 3199 4.4721360  8.765480 2026.578 17763.93
## 3200 4.4407207  8.780989 2024.788 17779.64
## 3201 4.4181444  8.792142 2023.503 17790.93
## 3202 4.4045431  8.798865 2022.730 17797.73
## 3203 4.4000000  8.801111 2022.472 17800.00
## 3204 4.4045431  8.798865 2022.730 17797.73
## 3205 4.4181444  8.792142 2023.503 17790.93
## 3206 4.4407207  8.780989 2024.788 17779.64
## 3207 4.4721360  8.765480 2026.578 17763.93
## 3208 4.5122057  8.745719 2028.867 17743.90
## 3209 4.5607017  8.721832 2031.643 17719.65
## 3210 4.6173586  8.693967 2034.896 17691.32
## 3211 4.6818800  8.662289 2038.614 17659.06
## 3212 4.7539457  8.626975 2042.782 17623.03
## 3213 4.8332184  8.588212 2047.387 17583.39
## 3214 4.9193496  8.546195 2052.413 17540.33
## 3215 5.0119856  8.501119 2057.848 17494.01
## 3216 5.1107729  8.453182 2063.674 17444.61
## 3217 5.2153619  8.402577 2069.879 17392.32
## 3218 5.3254108  8.349494 2076.449 17337.29
## 3219 5.4405882  8.294118 2083.369 17279.71
## 3220 5.5605755  8.236625 2090.627 17219.71
## 3221 5.6850682  8.177184 2098.212 17157.47
## 3222 5.8137767  8.115957 2106.112 17093.11
## 3223 5.9464275  8.053096 2114.316 17026.79
## 3224 6.0827625  7.988743 2122.814 16958.62
## 3225 6.2225397  7.923034 2131.599 16888.73
## 3226 6.3655322  7.856093 2140.661 16817.23
## 3227 6.5115282  7.788040 2149.994 16744.24
## 3228 6.6603303  7.718983 2159.589 16669.83
## 3229 6.8117545  7.649025 2169.443 16594.12
## 3230 6.9656299  7.578261 2179.548 16517.19
## 3231 7.1217975  7.506779 2189.901 16439.10
## 3232 7.2801099  7.434661 2200.496 16359.95
## 3233 7.4404301  7.361983 2211.331 16279.78
## 3234 7.5604233  7.307820 2219.511 16219.79
## 3235 7.4027022  7.379054 2208.772 16298.65
## 3236 7.2470684  7.449684 2198.277 16376.47
## 3237 7.0936591  7.519634 2188.028 16453.17
## 3238 6.9426220  7.588821 2178.031 16528.69
## 3239 6.7941151  7.657158 2168.290 16602.94
## 3240 6.6483081  7.724551 2158.811 16675.85
## 3241 6.5053824  7.790899 2149.599 16747.31
## 3242 6.3655322  7.856093 2140.661 16817.23
## 3243 6.2289646  7.920020 2132.005 16885.52
## 3244 6.0959003  7.982555 2123.637 16952.05
## 3245 5.9665736  8.043570 2115.567 17016.71
## 3246 5.8412327  8.102926 2107.804 17079.38
## 3247 5.7201399  8.160478 2100.359 17139.93
## 3248 5.6035703  8.216072 2093.241 17198.21
## 3249 5.4918121  8.269549 2086.461 17254.09
## 3250 5.3851648  8.320742 2080.033 17307.42
## 3251 5.2839379  8.369479 2073.968 17358.03
## 3252 5.1884487  8.415584 2068.279 17405.78
## 3253 5.0990195  8.458878 2062.979 17450.49
## 3254 5.0159745  8.499181 2058.082 17492.01
## 3255 4.9396356  8.536314 2053.601 17530.18
## 3256 4.8703183  8.570101 2049.549 17564.84
## 3257 4.8083261  8.600374 2045.938 17595.84
## 3258 4.7539457  8.626975 2042.782 17623.03
## 3259 4.7074409  8.649755 2040.090 17646.28
## 3260 4.6690470  8.668585 2037.873 17665.48
## 3261 4.6389654  8.683353 2036.140 17680.52
## 3262 4.6173586  8.693967 2034.896 17691.32
## 3263 4.6043458  8.700363 2034.148 17697.83
## 3264 4.6000000  8.702500 2033.898 17700.00
## 3265 4.6043458  8.700363 2034.148 17697.83
## 3266 4.6173586  8.693967 2034.896 17691.32
## 3267 4.6389654  8.683353 2036.140 17680.52
## 3268 4.6690470  8.668585 2037.873 17665.48
## 3269 4.7074409  8.649755 2040.090 17646.28
## 3270 4.7539457  8.626975 2042.782 17623.03
## 3271 4.8083261  8.600374 2045.938 17595.84
## 3272 4.8703183  8.570101 2049.549 17564.84
## 3273 4.9396356  8.536314 2053.601 17530.18
## 3274 5.0159745  8.499181 2058.082 17492.01
## 3275 5.0990195  8.458878 2062.979 17450.49
## 3276 5.1884487  8.415584 2068.279 17405.78
## 3277 5.2839379  8.369479 2073.968 17358.03
## 3278 5.3851648  8.320742 2080.033 17307.42
## 3279 5.4918121  8.269549 2086.461 17254.09
## 3280 5.6035703  8.216072 2093.241 17198.21
## 3281 5.7201399  8.160478 2100.359 17139.93
## 3282 5.8412327  8.102926 2107.804 17079.38
## 3283 5.9665736  8.043570 2115.567 17016.71
## 3284 6.0959003  7.982555 2123.637 16952.05
## 3285 6.2289646  7.920020 2132.005 16885.52
## 3286 6.3655322  7.856093 2140.661 16817.23
## 3287 6.5053824  7.790899 2149.599 16747.31
## 3288 6.6483081  7.724551 2158.811 16675.85
## 3289 6.7941151  7.657158 2168.290 16602.94
## 3290 6.9426220  7.588821 2178.031 16528.69
## 3291 7.0936591  7.519634 2188.028 16453.17
## 3292 7.2470684  7.449684 2198.277 16376.47
## 3293 7.4027022  7.379054 2208.772 16298.65
## 3294 7.5604233  7.307820 2219.511 16219.79
## 3295 7.6837491  7.252362 2227.981 16158.13
## 3296 7.5286121  7.322160 2217.337 16235.69
## 3297 7.3756356  7.391314 2206.940 16312.18
## 3298 7.2249567  7.459746 2196.793 16387.52
## 3299 7.0767224  7.527376 2186.903 16461.64
## 3300 6.9310894  7.594117 2177.272 16534.46
## 3301 6.7882251  7.659875 2167.906 16605.89
## 3302 6.6483081  7.724551 2158.811 16675.85
## 3303 6.5115282  7.788040 2149.994 16744.24
## 3304 6.3780875  7.850229 2141.461 16810.96
## 3305 6.2481997  7.911000 2133.220 16875.90
## 3306 6.1220911  7.970227 2125.279 16938.95
## 3307 6.0000000  8.027778 2117.647 17000.00
## 3308 5.8821765  8.083513 2110.334 17058.91
## 3309 5.7688820  8.137288 2103.349 17115.56
## 3310 5.6603887  8.188951 2096.704 17169.81
## 3311 5.5569776  8.238346 2090.409 17221.51
## 3312 5.4589376  8.285312 2084.476 17270.53
## 3313 5.3665631  8.329687 2078.916 17316.72
## 3314 5.2801515  8.371305 2073.742 17359.92
## 3315 5.2000000  8.410000 2068.966 17400.00
## 3316 5.1264022  8.445610 2064.599 17436.80
## 3317 5.0596443  8.477975 2060.654 17470.18
## 3318 5.0000000  8.506944 2057.143 17500.00
## 3319 4.9477268  8.532374 2054.075 17526.14
## 3320 4.9030603  8.554133 2051.461 17548.47
## 3321 4.8662100  8.572106 2049.309 17566.89
## 3322 4.8373546  8.586192 2047.628 17581.32
## 3323 4.8166378  8.596312 2046.422 17591.68
## 3324 4.8041649  8.602408 2045.697 17597.92
## 3325 4.8000000  8.604444 2045.455 17600.00
## 3326 4.8041649  8.602408 2045.697 17597.92
## 3327 4.8166378  8.596312 2046.422 17591.68
## 3328 4.8373546  8.586192 2047.628 17581.32
## 3329 4.8662100  8.572106 2049.309 17566.89
## 3330 4.9030603  8.554133 2051.461 17548.47
## 3331 4.9477268  8.532374 2054.075 17526.14
## 3332 5.0000000  8.506944 2057.143 17500.00
## 3333 5.0596443  8.477975 2060.654 17470.18
## 3334 5.1264022  8.445610 2064.599 17436.80
## 3335 5.2000000  8.410000 2068.966 17400.00
## 3336 5.2801515  8.371305 2073.742 17359.92
## 3337 5.3665631  8.329687 2078.916 17316.72
## 3338 5.4589376  8.285312 2084.476 17270.53
## 3339 5.5569776  8.238346 2090.409 17221.51
## 3340 5.6603887  8.188951 2096.704 17169.81
## 3341 5.7688820  8.137288 2103.349 17115.56
## 3342 5.8821765  8.083513 2110.334 17058.91
## 3343 6.0000000  8.027778 2117.647 17000.00
## 3344 6.1220911  7.970227 2125.279 16938.95
## 3345 6.2481997  7.911000 2133.220 16875.90
## 3346 6.3780875  7.850229 2141.461 16810.96
## 3347 6.5115282  7.788040 2149.994 16744.24
## 3348 6.6483081  7.724551 2158.811 16675.85
## 3349 6.7882251  7.659875 2167.906 16605.89
## 3350 6.9310894  7.594117 2177.272 16534.46
## 3351 7.0767224  7.527376 2186.903 16461.64
## 3352 7.2249567  7.459746 2196.793 16387.52
## 3353 7.3756356  7.391314 2206.940 16312.18
## 3354 7.5286121  7.322160 2217.337 16235.69
## 3355 7.6837491  7.252362 2227.981 16158.13
## 3356 7.8102497  7.195695 2236.737 16094.88
## 3357 7.6576759  7.264069 2226.185 16171.16
## 3358 7.5073298  7.331761 2215.884 16246.34
## 3359 7.3593478  7.398696 2205.838 16320.33
## 3360 7.2138755  7.464791 2196.051 16393.06
## 3361 7.0710678  7.529962 2186.527 16464.47
## 3362 6.9310894  7.594117 2177.272 16534.46
## 3363 6.7941151  7.657158 2168.290 16602.94
## 3364 6.6603303  7.718983 2159.589 16669.83
## 3365 6.5299311  7.779483 2151.176 16735.03
## 3366 6.4031242  7.838542 2143.056 16798.44
## 3367 6.2801274  7.896040 2135.239 16859.94
## 3368 6.1611687  7.951851 2127.733 16919.42
## 3369 6.0464866  8.005841 2120.546 16976.76
## 3370 5.9363288  8.057873 2113.689 17031.84
## 3371 5.8309519  8.107805 2107.170 17084.52
## 3372 5.7306195  8.155489 2101.001 17134.69
## 3373 5.6356011  8.200777 2095.192 17182.20
## 3374 5.5461698  8.243517 2089.753 17226.92
## 3375 5.4626001  8.283555 2084.697 17268.70
## 3376 5.3851648  8.320742 2080.033 17307.42
## 3377 5.3141321  8.354927 2075.773 17342.93
## 3378 5.2497619  8.385966 2071.928 17375.12
## 3379 5.1923020  8.413721 2068.508 17403.85
## 3380 5.1419841  8.438064 2065.522 17429.01
## 3381 5.0990195  8.458878 2062.979 17450.49
## 3382 5.0635956  8.476058 2060.888 17468.20
## 3383 5.0358713  8.489516 2059.253 17482.06
## 3384 5.0159745  8.499181 2058.082 17492.01
## 3385 5.0039984  8.505001 2057.378 17498.00
## 3386 5.0000000  8.506944 2057.143 17500.00
## 3387 5.0039984  8.505001 2057.378 17498.00
## 3388 5.0159745  8.499181 2058.082 17492.01
## 3389 5.0358713  8.489516 2059.253 17482.06
## 3390 5.0635956  8.476058 2060.888 17468.20
## 3391 5.0990195  8.458878 2062.979 17450.49
## 3392 5.1419841  8.438064 2065.522 17429.01
## 3393 5.1923020  8.413721 2068.508 17403.85
## 3394 5.2497619  8.385966 2071.928 17375.12
## 3395 5.3141321  8.354927 2075.773 17342.93
## 3396 5.3851648  8.320742 2080.033 17307.42
## 3397 5.4626001  8.283555 2084.697 17268.70
## 3398 5.5461698  8.243517 2089.753 17226.92
## 3399 5.6356011  8.200777 2095.192 17182.20
## 3400 5.7306195  8.155489 2101.001 17134.69
## 3401 5.8309519  8.107805 2107.170 17084.52
## 3402 5.9363288  8.057873 2113.689 17031.84
## 3403 6.0464866  8.005841 2120.546 16976.76
## 3404 6.1611687  7.951851 2127.733 16919.42
## 3405 6.2801274  7.896040 2135.239 16859.94
## 3406 6.4031242  7.838542 2143.056 16798.44
## 3407 6.5299311  7.779483 2151.176 16735.03
## 3408 6.6603303  7.718983 2159.589 16669.83
## 3409 6.7941151  7.657158 2168.290 16602.94
## 3410 6.9310894  7.594117 2177.272 16534.46
## 3411 7.0710678  7.529962 2186.527 16464.47
## 3412 7.2138755  7.464791 2196.051 16393.06
## 3413 7.3593478  7.398696 2205.838 16320.33
## 3414 7.5073298  7.331761 2215.884 16246.34
## 3415 7.6576759  7.264069 2226.185 16171.16
## 3416 7.8102497  7.195695 2236.737 16094.88
## 3417 7.9397733  7.137904 2245.773 16030.11
## 3418 7.7897368  7.204868 2235.312 16105.13
## 3419 7.6419893  7.271117 2225.106 16179.01
## 3420 7.4966659  7.336574 2215.157 16251.67
## 3421 7.3539105  7.401161 2205.471 16323.04
## 3422 7.2138755  7.464791 2196.051 16393.06
## 3423 7.0767224  7.527376 2186.903 16461.64
## 3424 6.9426220  7.588821 2178.031 16528.69
## 3425 6.8117545  7.649025 2169.443 16594.12
## 3426 6.6843100  7.707883 2161.144 16657.85
## 3427 6.5604878  7.765285 2153.141 16719.76
## 3428 6.4404969  7.821113 2145.443 16779.75
## 3429 6.3245553  7.875247 2138.056 16837.72
## 3430 6.2128898  7.927561 2130.990 16893.56
## 3431 6.1057350  7.977925 2124.253 16947.13
## 3432 6.0033324  8.026204 2117.855 16998.33
## 3433 5.9059292  8.072262 2111.804 17047.04
## 3434 5.8137767  8.115957 2106.112 17093.11
## 3435 5.7271284  8.157151 2100.787 17136.44
## 3436 5.6462377  8.195701 2095.840 17176.88
## 3437 5.5713553  8.231469 2091.282 17214.32
## 3438 5.5027266  8.264319 2087.121 17248.64
## 3439 5.4405882  8.294118 2083.369 17279.71
## 3440 5.3851648  8.320742 2080.033 17307.42
## 3441 5.3366656  8.344075 2077.123 17331.67
## 3442 5.2952809  8.364011 2074.646 17352.36
## 3443 5.2611786  8.380456 2072.609 17369.41
## 3444 5.2345009  8.393333 2071.019 17382.75
## 3445 5.2153619  8.402577 2069.879 17392.32
## 3446 5.2038447  8.408142 2069.194 17398.08
## 3447 5.2000000  8.410000 2068.966 17400.00
## 3448 5.2038447  8.408142 2069.194 17398.08
## 3449 5.2153619  8.402577 2069.879 17392.32
## 3450 5.2345009  8.393333 2071.019 17382.75
## 3451 5.2611786  8.380456 2072.609 17369.41
## 3452 5.2952809  8.364011 2074.646 17352.36
## 3453 5.3366656  8.344075 2077.123 17331.67
## 3454 5.3851648  8.320742 2080.033 17307.42
## 3455 5.4405882  8.294118 2083.369 17279.71
## 3456 5.5027266  8.264319 2087.121 17248.64
## 3457 5.5713553  8.231469 2091.282 17214.32
## 3458 5.6462377  8.195701 2095.840 17176.88
## 3459 5.7271284  8.157151 2100.787 17136.44
## 3460 5.8137767  8.115957 2106.112 17093.11
## 3461 5.9059292  8.072262 2111.804 17047.04
## 3462 6.0033324  8.026204 2117.855 16998.33
## 3463 6.1057350  7.977925 2124.253 16947.13
## 3464 6.2128898  7.927561 2130.990 16893.56
## 3465 6.3245553  7.875247 2138.056 16837.72
## 3466 6.4404969  7.821113 2145.443 16779.75
## 3467 6.5604878  7.765285 2153.141 16719.76
## 3468 6.6843100  7.707883 2161.144 16657.85
## 3469 6.8117545  7.649025 2169.443 16594.12
## 3470 6.9426220  7.588821 2178.031 16528.69
## 3471 7.0767224  7.527376 2186.903 16461.64
## 3472 7.2138755  7.464791 2196.051 16393.06
## 3473 7.3539105  7.401161 2205.471 16323.04
## 3474 7.4966659  7.336574 2215.157 16251.67
## 3475 7.6419893  7.271117 2225.106 16179.01
## 3476 7.7897368  7.204868 2235.312 16105.13
## 3477 7.9397733  7.137904 2245.773 16030.11
## 3478 8.0721744  7.079070 2255.086 15963.91
## 3479 7.9246451  7.144642 2244.714 16037.68
## 3480 7.7794601  7.209467 2234.599 16110.27
## 3481 7.6367532  7.273470 2224.746 16181.62
## 3482 7.4966659  7.336574 2215.157 16251.67
## 3483 7.3593478  7.398696 2205.838 16320.33
## 3484 7.2249567  7.459746 2196.793 16387.52
## 3485 7.0936591  7.519634 2188.028 16453.17
## 3486 6.9656299  7.578261 2179.548 16517.19
## 3487 6.8410526  7.635526 2171.360 16579.47
## 3488 6.7201190  7.691323 2163.469 16639.94
## 3489 6.6030296  7.745539 2155.884 16698.49
## 3490 6.4899923  7.798060 2148.612 16755.00
## 3491 6.3812225  7.848765 2141.660 16809.39
## 3492 6.2769419  7.897532 2135.038 16861.53
## 3493 6.1773781  7.944234 2128.753 16911.31
## 3494 6.0827625  7.988743 2122.814 16958.62
## 3495 5.9933296  8.030928 2117.232 17003.34
## 3496 5.9093147  8.070659 2112.014 17045.34
## 3497 5.8309519  8.107805 2107.170 17084.52
## 3498 5.7584720  8.142238 2102.710 17120.76
## 3499 5.6920998  8.173833 2098.642 17153.95
## 3500 5.6320511  8.202472 2094.975 17183.97
## 3501 5.5785303  8.228039 2091.718 17210.73
## 3502 5.5317267  8.250430 2088.877 17234.14
## 3503 5.4918121  8.269549 2086.461 17254.09
## 3504 5.4589376  8.285312 2084.476 17270.53
## 3505 5.4332311  8.297649 2082.925 17283.38
## 3506 5.4147945  8.306503 2081.815 17292.60
## 3507 5.4037024  8.311832 2081.148 17298.15
## 3508 5.4000000  8.313611 2080.925 17300.00
## 3509 5.4037024  8.311832 2081.148 17298.15
## 3510 5.4147945  8.306503 2081.815 17292.60
## 3511 5.4332311  8.297649 2082.925 17283.38
## 3512 5.4589376  8.285312 2084.476 17270.53
## 3513 5.4918121  8.269549 2086.461 17254.09
## 3514 5.5317267  8.250430 2088.877 17234.14
## 3515 5.5785303  8.228039 2091.718 17210.73
## 3516 5.6320511  8.202472 2094.975 17183.97
## 3517 5.6920998  8.173833 2098.642 17153.95
## 3518 5.7584720  8.142238 2102.710 17120.76
## 3519 5.8309519  8.107805 2107.170 17084.52
## 3520 5.9093147  8.070659 2112.014 17045.34
## 3521 5.9933296  8.030928 2117.232 17003.34
## 3522 6.0827625  7.988743 2122.814 16958.62
## 3523 6.1773781  7.944234 2128.753 16911.31
## 3524 6.2769419  7.897532 2135.038 16861.53
## 3525 6.3812225  7.848765 2141.660 16809.39
## 3526 6.4899923  7.798060 2148.612 16755.00
## 3527 6.6030296  7.745539 2155.884 16698.49
## 3528 6.7201190  7.691323 2163.469 16639.94
## 3529 6.8410526  7.635526 2171.360 16579.47
## 3530 6.9656299  7.578261 2179.548 16517.19
## 3531 7.0936591  7.519634 2188.028 16453.17
## 3532 7.2249567  7.459746 2196.793 16387.52
## 3533 7.3593478  7.398696 2205.838 16320.33
## 3534 7.4966659  7.336574 2215.157 16251.67
## 3535 7.6367532  7.273470 2224.746 16181.62
## 3536 7.7794601  7.209467 2234.599 16110.27
## 3537 7.9246451  7.144642 2244.714 16037.68
## 3538 8.0721744  7.079070 2255.086 15963.91
## 3539 8.2073138  7.019270 2264.672 15896.34
## 3540 8.0622577  7.083468 2254.386 15968.87
## 3541 7.9195959  7.146891 2244.361 16040.20
## 3542 7.7794601  7.209467 2234.599 16110.27
## 3543 7.6419893  7.271117 2225.106 16179.01
## 3544 7.5073298  7.331761 2215.884 16246.34
## 3545 7.3756356  7.391314 2206.940 16312.18
## 3546 7.2470684  7.449684 2198.277 16376.47
## 3547 7.1217975  7.506779 2189.901 16439.10
## 3548 7.0000000  7.562500 2181.818 16500.00
## 3549 6.8818602  7.616744 2174.035 16559.07
## 3550 6.7675697  7.669406 2166.558 16616.22
## 3551 6.6573268  7.720374 2159.395 16671.34
## 3552 6.5513357  7.769536 2152.552 16724.33
## 3553 6.4498062  7.816774 2146.038 16775.10
## 3554 6.3529521  7.861971 2139.861 16823.52
## 3555 6.2609903  7.905005 2134.028 16869.50
## 3556 6.1741396  7.945756 2128.549 16912.93
## 3557 6.0926185  7.984101 2123.431 16953.69
## 3558 6.0166436  8.019920 2118.684 16991.68
## 3559 5.9464275  8.053096 2114.316 17026.79
## 3560 5.8821765  8.083513 2110.334 17058.91
## 3561 5.8240879  8.111062 2106.747 17087.96
## 3562 5.7723479  8.135640 2103.562 17113.83
## 3563 5.7271284  8.157151 2100.787 17136.44
## 3564 5.6885851  8.175508 2098.427 17155.71
## 3565 5.6568542  8.190637 2096.488 17171.57
## 3566 5.6320511  8.202472 2094.975 17183.97
## 3567 5.6142675  8.210962 2093.892 17192.87
## 3568 5.6035703  8.216072 2093.241 17198.21
## 3569 5.6000000  8.217778 2093.023 17200.00
## 3570 5.6035703  8.216072 2093.241 17198.21
## 3571 5.6142675  8.210962 2093.892 17192.87
## 3572 5.6320511  8.202472 2094.975 17183.97
## 3573 5.6568542  8.190637 2096.488 17171.57
## 3574 5.6885851  8.175508 2098.427 17155.71
## 3575 5.7271284  8.157151 2100.787 17136.44
## 3576 5.7723479  8.135640 2103.562 17113.83
## 3577 5.8240879  8.111062 2106.747 17087.96
## 3578 5.8821765  8.083513 2110.334 17058.91
## 3579 5.9464275  8.053096 2114.316 17026.79
## 3580 6.0166436  8.019920 2118.684 16991.68
## 3581 6.0926185  7.984101 2123.431 16953.69
## 3582 6.1741396  7.945756 2128.549 16912.93
## 3583 6.2609903  7.905005 2134.028 16869.50
## 3584 6.3529521  7.861971 2139.861 16823.52
## 3585 6.4498062  7.816774 2146.038 16775.10
## 3586 6.5513357  7.769536 2152.552 16724.33
## 3587 6.6573268  7.720374 2159.395 16671.34
## 3588 6.7675697  7.669406 2166.558 16616.22
## 3589 6.8818602  7.616744 2174.035 16559.07
## 3590 7.0000000  7.562500 2181.818 16500.00
## 3591 7.1217975  7.506779 2189.901 16439.10
## 3592 7.2470684  7.449684 2198.277 16376.47
## 3593 7.3756356  7.391314 2206.940 16312.18
## 3594 7.5073298  7.331761 2215.884 16246.34
## 3595 7.6419893  7.271117 2225.106 16179.01
## 3596 7.7794601  7.209467 2234.599 16110.27
## 3597 7.9195959  7.146891 2244.361 16040.20
## 3598 8.0622577  7.083468 2254.386 15968.87
## 3599 8.2073138  7.019270 2264.672 15896.34
## 3600 8.3450584  6.958579 2274.526 15827.47
## 3601 8.2024387  7.021423 2264.325 15898.78
## 3602 8.0622577  7.083468 2254.386 15968.87
## 3603 7.9246451  7.144642 2244.714 16037.68
## 3604 7.7897368  7.204868 2235.312 16105.13
## 3605 7.6576759  7.264069 2226.185 16171.16
## 3606 7.5286121  7.322160 2217.337 16235.69
## 3607 7.4027022  7.379054 2208.772 16298.65
## 3608 7.2801099  7.434661 2200.496 16359.95
## 3609 7.1610055  7.488886 2192.515 16419.50
## 3610 7.0455660  7.541630 2184.835 16477.22
## 3611 6.9339743  7.592792 2177.462 16533.01
## 3612 6.8264193  7.642267 2170.402 16586.79
## 3613 6.7230945  7.689947 2163.663 16638.45
## 3614 6.6241981  7.735723 2157.252 16687.90
## 3615 6.5299311  7.779483 2151.176 16735.03
## 3616 6.4404969  7.821113 2145.443 16779.75
## 3617 6.3560994  7.860500 2140.061 16821.95
## 3618 6.2769419  7.897532 2135.038 16861.53
## 3619 6.2032250  7.932097 2130.381 16898.39
## 3620 6.1351447  7.964086 2126.098 16932.43
## 3621 6.0728906  7.993394 2122.197 16963.55
## 3622 6.0166436  8.019920 2118.684 16991.68
## 3623 5.9665736  8.043570 2115.567 17016.71
## 3624 5.9228372  8.064257 2112.852 17038.58
## 3625 5.8855756  8.081902 2110.544 17057.21
## 3626 5.8549125  8.096438 2108.649 17072.54
## 3627 5.8309519  8.107805 2107.170 17084.52
## 3628 5.8137767  8.115957 2106.112 17093.11
## 3629 5.8034473  8.120863 2105.475 17098.28
## 3630 5.8000000  8.122500 2105.263 17100.00
## 3631 5.8034473  8.120863 2105.475 17098.28
## 3632 5.8137767  8.115957 2106.112 17093.11
## 3633 5.8309519  8.107805 2107.170 17084.52
## 3634 5.8549125  8.096438 2108.649 17072.54
## 3635 5.8855756  8.081902 2110.544 17057.21
## 3636 5.9228372  8.064257 2112.852 17038.58
## 3637 5.9665736  8.043570 2115.567 17016.71
## 3638 6.0166436  8.019920 2118.684 16991.68
## 3639 6.0728906  7.993394 2122.197 16963.55
## 3640 6.1351447  7.964086 2126.098 16932.43
## 3641 6.2032250  7.932097 2130.381 16898.39
## 3642 6.2769419  7.897532 2135.038 16861.53
## 3643 6.3560994  7.860500 2140.061 16821.95
## 3644 6.4404969  7.821113 2145.443 16779.75
## 3645 6.5299311  7.779483 2151.176 16735.03
## 3646 6.6241981  7.735723 2157.252 16687.90
## 3647 6.7230945  7.689947 2163.663 16638.45
## 3648 6.8264193  7.642267 2170.402 16586.79
## 3649 6.9339743  7.592792 2177.462 16533.01
## 3650 7.0455660  7.541630 2184.835 16477.22
## 3651 7.1610055  7.488886 2192.515 16419.50
## 3652 7.2801099  7.434661 2200.496 16359.95
## 3653 7.4027022  7.379054 2208.772 16298.65
## 3654 7.5286121  7.322160 2217.337 16235.69
## 3655 7.6576759  7.264069 2226.185 16171.16
## 3656 7.7897368  7.204868 2235.312 16105.13
## 3657 7.9246451  7.144642 2244.714 16037.68
## 3658 8.0622577  7.083468 2254.386 15968.87
## 3659 8.2024387  7.021423 2264.325 15898.78
## 3660 8.3450584  6.958579 2274.526 15827.47
## 3661 8.4852814  6.897066 2284.647 15757.36
## 3662 8.3450584  6.958579 2274.526 15827.47
## 3663 8.2073138  7.019270 2264.672 15896.34
## 3664 8.0721744  7.079070 2255.086 15963.91
## 3665 7.9397733  7.137904 2245.773 16030.11
## 3666 7.8102497  7.195695 2236.737 16094.88
## 3667 7.6837491  7.252362 2227.981 16158.13
## 3668 7.5604233  7.307820 2219.511 16219.79
## 3669 7.4404301  7.361983 2211.331 16279.78
## 3670 7.3239334  7.414759 2203.448 16338.03
## 3671 7.2111026  7.466054 2195.865 16394.45
## 3672 7.1021124  7.515771 2188.590 16448.94
## 3673 6.9971423  7.563810 2181.629 16501.43
## 3674 6.8963759  7.610069 2174.988 16551.81
## 3675 6.8000000  7.654444 2168.675 16600.00
## 3676 6.7082039  7.696831 2162.695 16645.90
## 3677 6.6211781  7.737123 2157.056 16689.41
## 3678 6.5391131  7.775215 2151.766 16730.44
## 3679 6.4621978  7.811001 2146.831 16768.90
## 3680 6.3906181  7.844379 2142.259 16804.69
## 3681 6.3245553  7.875247 2138.056 16837.72
## 3682 6.2641839  7.903509 2134.230 16867.91
## 3683 6.2096699  7.929072 2130.787 16895.17
## 3684 6.1611687  7.951851 2127.733 16919.42
## 3685 6.1188234  7.971765 2125.074 16940.59
## 3686 6.0827625  7.988743 2122.814 16958.62
## 3687 6.0530984  8.002723 2120.959 16973.45
## 3688 6.0299254  8.013653 2119.513 16985.04
## 3689 6.0133186  8.021490 2118.477 16993.34
## 3690 6.0033324  8.026204 2117.855 16998.33
## 3691 6.0000000  8.027778 2117.647 17000.00
## 3692 6.0033324  8.026204 2117.855 16998.33
## 3693 6.0133186  8.021490 2118.477 16993.34
## 3694 6.0299254  8.013653 2119.513 16985.04
## 3695 6.0530984  8.002723 2120.959 16973.45
## 3696 6.0827625  7.988743 2122.814 16958.62
## 3697 6.1188234  7.971765 2125.074 16940.59
## 3698 6.1611687  7.951851 2127.733 16919.42
## 3699 6.2096699  7.929072 2130.787 16895.17
## 3700 6.2641839  7.903509 2134.230 16867.91
## 3701 6.3245553  7.875247 2138.056 16837.72
## 3702 6.3906181  7.844379 2142.259 16804.69
## 3703 6.4621978  7.811001 2146.831 16768.90
## 3704 6.5391131  7.775215 2151.766 16730.44
## 3705 6.6211781  7.737123 2157.056 16689.41
## 3706 6.7082039  7.696831 2162.695 16645.90
## 3707 6.8000000  7.654444 2168.675 16600.00
## 3708 6.8963759  7.610069 2174.988 16551.81
## 3709 6.9971423  7.563810 2181.629 16501.43
## 3710 7.1021124  7.515771 2188.590 16448.94
## 3711 7.2111026  7.466054 2195.865 16394.45
## 3712 7.3239334  7.414759 2203.448 16338.03
## 3713 7.4404301  7.361983 2211.331 16279.78
## 3714 7.5604233  7.307820 2219.511 16219.79
## 3715 7.6837491  7.252362 2227.981 16158.13
## 3716 7.8102497  7.195695 2236.737 16094.88
## 3717 7.9397733  7.137904 2245.773 16030.11
## 3718 8.0721744  7.079070 2255.086 15963.91
## 3719 8.2073138  7.019270 2264.672 15896.34
## 3720 8.3450584  6.958579 2274.526 15827.47
## 3721 8.4852814  6.897066 2284.647 15757.36

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Erick Jones
Erick Jones
PhD Candidate

Erick Jones is a Ph.D. candidate in Operations Research and Industrial Engineering who develops multi-systems optimization models to analyze how energy systems, water resources, supply chains, urban space, and transportation networks operate in concert to influence economic and environmental well-being.