Allan Variance in Python

import numpy as np
import matplotlib.pyplot as plt 
import allantools
import pandas as pd
from allantools import noise

def plotallan(plt, y, rate, taus, style):
    (t2, ad, ade, adn) = allantools.oadev(y, rate=rate, data_type="freq", taus=taus)
    plt.loglog(t2, ad, style)


def plotallan_phase(plt, y, rate, taus, style):
    (t2, ad, ade, adn) = allantools.oadev(y, rate=rate, taus=taus)
    plt.loglog(t2, ad, style)


def plotline(plt, alpha, taus, style):
    """ plot a line with the slope alpha """
    y = [pow(tt, alpha) for tt in taus]
    plt.loglog(taus, y, style)

t = np.logspace(0, 3, 50)  # tau values from 1 to 1000
N = 10000

# pink frequency noise => constant ADEV
freq_pink = noise.pink(N)
freq_pink

array([11.97103089, 11.72411358, 10.13384372, ...,  9.20744279,
        8.32762594,  9.78518531])

plotallan(plt, freq_pink, 1, t, 'c.')

Custom function from formula

Generate AVAR raw data from R

R block starts

n = 1e5
data = rnorm(n, 0, 0.01) +  cumsum(rnorm(n, 0, 3.162278e-05))
data = as.data.frame(data)
library("writexl")
write_xlsx(data,"AVAR1.xlsx")

n = 1e5
data = rnorm(n, 0, 0.01) +  cumsum(rnorm(n, 0, 4.162278e-05))
data = as.data.frame(data)
library("writexl")
write_xlsx(data,"AVAR2.xlsx")

n = 1e5
data = rnorm(n, 0, 0.01) +  cumsum(rnorm(n, 0, 5.162278e-05))
data = as.data.frame(data)
library("writexl")
write_xlsx(data,"AVAR3.xlsx")

R block ends

fig = pyplot.figure(figsize=[12,8])
plt.plot(data1,)
plt.plot(data2)
plt.plot(data3)
plt.xlabel('Time (msec)')
plt.ylabel('Raw Sensor data')

Text(0, 0.5, 'Raw Sensor data')

data1 = pd.read_excel('AVAR1.xlsx')
data1 = data1.values.tolist()
data1 = [item for sublist in data1 for item in sublist]

data2 = pd.read_excel('AVAR2.xlsx')
data2 = data2.values.tolist()
data2 = [item for sublist in data2 for item in sublist]

data3 = pd.read_excel('AVAR3.xlsx')
data3 = data3.values.tolist()
data3 = [item for sublist in data3 for item in sublist]

from matplotlib import pyplot

n = 3000
taus = np.linspace(1,n,n)
(t2, ad1, ade, adn) = allantools.adev(data1, rate=1, data_type="freq", taus=taus)
(t2, ad2, ade, adn) = allantools.adev(data2, rate=1, data_type="freq", taus=taus)
(t2, ad3, ade, adn) = allantools.adev(data3, rate=1, data_type="freq", taus=taus)

fig = pyplot.figure(figsize=[12,8])
plt.plot(t2,ad1)
plt.plot(t2,ad2)
plt.plot(t2,ad3)
plt.xscale("log")
plt.yscale("log")
plt.xlabel('Time Cluster (sec)')
plt.ylabel('Allan Deviation')
plt.grid(True, which="both", ls="-")

from matplotlib import pyplot

n = 3000
taus = np.linspace(1,n,n)
(t2, ad1, ade, adn) = allantools.oadev(data1, rate=1, data_type="freq", taus=taus)
(t2, ad2, ade, adn) = allantools.oadev(data2, rate=1, data_type="freq", taus=taus)
(t2, ad3, ade, adn) = allantools.oadev(data3, rate=1, data_type="freq", taus=taus)

fig = pyplot.figure(figsize=[12,8])
plt.plot(t2,ad1)
plt.plot(t2,ad2)
plt.plot(t2,ad3)
plt.xscale("log")
plt.yscale("log")
plt.xlabel('Time Cluster (sec)')
plt.ylabel('Allan Deviation')
plt.grid(True, which="both", ls="-")

from matplotlib import pyplot

n = 3000
taus = np.linspace(1,n,n)
(t2, ad1, ade, adn) = allantools.hdev(data1, rate=1, data_type="freq", taus=taus)
(t2, ad2, ade, adn) = allantools.hdev(data2, rate=1, data_type="freq", taus=taus)
(t2, ad3, ade, adn) = allantools.hdev(data3, rate=1, data_type="freq", taus=taus)

fig = pyplot.figure(figsize=[12,8])
plt.plot(t2,ad1)
plt.plot(t2,ad2)
plt.plot(t2,ad3)
plt.xscale("log")
plt.yscale("log")
plt.xlabel('Time Cluster (sec)')
plt.ylabel('Allan Deviation')
plt.grid(True, which="both", ls="-")

from matplotlib import pyplot

n = 3000
taus = np.linspace(1,n,n)
(t2, ad1, ade, adn) = allantools.mdev(data1, rate=1, data_type="freq", taus=taus)
(t2, ad2, ade, adn) = allantools.mdev(data2, rate=1, data_type="freq", taus=taus)
(t2, ad3, ade, adn) = allantools.mdev(data3, rate=1, data_type="freq", taus=taus)

fig = pyplot.figure(figsize=[12,8])
plt.plot(t2,ad1)
plt.plot(t2,ad2)
plt.plot(t2,ad3)
plt.xscale("log")
plt.yscale("log")
plt.xlabel('Time Cluster (sec)')
plt.ylabel('Allan Deviation')
plt.grid(True, which="both", ls="-")

n = 3000
taus = np.linspace(1,n,n)
(t2, ad, ade, adn) = allantools.oadev(data, rate=1, data_type="freq", taus=taus)

plt.plot(t2,ad)
plt.xscale("log")
plt.yscale("log")
plt.xlabel('Time Cluster (sec)')
plt.ylabel('Allan Deviation')

Text(0, 0.5, 'Allan Deviation')

import numpy as np 
import math

def cal_oadev(data,rate,tauArray):
#     n=2
    tau0 = 1/rate #Calculate the sampling period
    dataLength = len(data) #Calculate N
    dev = np.array([]) #Create empty array to store the output.
    actualTau = np.array([]) 
    for i in tauArray:
        n = math.floor(i/tau0) #Calculate n given a tau value.
        if n == 0:
            n = 1 #Use minimal n if tau is less than the sampling period.
        currentSum = 0 #Initialize the sum
        print("n =",n)
        for j in range(0,dataLength-2*n):
#             print(data[j+2*n])
#             print(data[j+n])
#             print(data[j])
            currentSum = (data[j+2*n]-2*data[j+n]+data[j])**2+currentSum #Cumulate the sum squared
        print(currentSum)
        print("den = ",(2*n**2*tau0**2*(dataLength-2*n)) )
        devAtThisTau = currentSum/(2*n**2*tau0**2*(dataLength-2*n)) #Divide by the coefficient
        dev = np.append(dev,np.sqrt(devAtThisTau)) 
        actualTau = np.append(actualTau,n*tau0) 
    return actualTau, dev #Return the actual tau and overlapped Allan Deviation

t = np.linspace(1,3000,3000)
r = 1

(t2phase, adphase) = cal_oadev(data, r, t) 
 
#Plot the results
fig = plt.figure()
ax1 = fig.add_subplot()
ax1.set_label('Frequency (Hz)')
ax1.set_title('Phase Allan Deviations')
lin, = ax1.loglog(t2phase, adphase)

plt.show()

n = 1
60.11151485075499
den =  199996.0
n = 2
59.38508328663315
den =  799968.0
n = 3
59.97684257747183
den =  1799892.0
n = 4
60.052472722054056
den =  3199744.0
n = 5
59.7418341552663
den =  4999500.0
n = 6
59.82331268468809
den =  7199136.0
n = 7
59.691047665908506
den =  9798628.0
n = 8
59.62332721544916
den =  12797952.0
n = 9
60.05466811617231
den =  16197084.0
n = 10
60.061236780519096
den =  19996000.0
n = 11
59.92752782461624
den =  24194676.0
n = 12
60.249174687689155
den =  28793088.0
n = 13
59.75274617932137
den =  33791212.0
n = 14
59.96447532394344
den =  39189024.0
n = 15
59.904520084280975
den =  44986500.0
n = 16
60.09494377560132
den =  51183616.0
n = 17
60.20890610223252
den =  57780348.0
n = 18
59.974326598861865
den =  64776672.0
n = 19
60.098812967214606
den =  72172564.0
n = 20
59.99391546982816
den =  79968000.0
n = 21
59.873251331282255
den =  88162956.0
n = 22
59.93705459867459
den =  96757408.0
n = 23
60.11724347297659
den =  105751332.0
n = 24
59.584886456759946
den =  115144704.0
n = 25
59.758900904968314
den =  124937500.0
n = 26
59.821649815109254
den =  135129696.0
n = 27
60.058994753158885
den =  145721268.0
n = 28
59.86654476613944
den =  156712192.0
n = 29
59.774724874885266
den =  168102444.0
n = 30
60.305609826104785
den =  179892000.0
n = 31
60.182962802117885
den =  192080836.0
n = 32
59.53178154290102
den =  204668928.0
n = 33
59.973770101756116
den =  217656252.0
n = 34
59.70990655227243
den =  231042784.0
n = 35
59.927930169342424
den =  244828500.0
n = 36
59.46153971361197
den =  259013376.0
n = 37
59.48615679351537
den =  273597388.0
n = 38
59.69456821950228
den =  288580512.0
n = 39
60.06823480621121
den =  303962724.0
n = 40
60.52100322873085
den =  319744000.0
n = 41
59.37999189077081
den =  335924316.0
n = 42
60.19206394548884
den =  352503648.0
n = 43
59.760485667109045
den =  369481972.0
n = 44
59.698226719608456
den =  386859264.0
n = 45
60.342193559832324
den =  404635500.0
n = 46
59.98733904362312
den =  422810656.0
n = 47
59.21697439099049
den =  441384708.0
n = 48
59.97606532774757
den =  460357632.0
n = 49
60.11889880235195
den =  479729404.0
n = 50
60.09695720075049
den =  499500000.0
n = 51
59.78295531269508
den =  519669396.0
n = 52
59.83396557020589
den =  540237568.0
n = 53
59.79040491947839
den =  561204492.0
n = 54
59.691430421276294
den =  582570144.0
n = 55
59.913747983049674
den =  604334500.0
n = 56
59.53276931882992
den =  626497536.0
n = 57
59.808234622730744
den =  649059228.0
n = 58
59.82498338579894
den =  672019552.0
n = 59
59.55979067616773
den =  695378484.0
n = 60
59.76185555504239
den =  719136000.0
n = 61
60.03596185615395
den =  743292076.0
n = 62
59.69075661421987
den =  767846688.0
n = 63
59.62153437149802
den =  792799812.0
n = 64
59.992341925865006
den =  818151424.0
n = 65
59.59894417762197
den =  843901500.0
n = 66
59.74820893063093
den =  870050016.0
n = 67
59.40581635315013
den =  896596948.0
n = 68
59.56930510857479
den =  923542272.0
n = 69
59.53456177150565
den =  950885964.0
n = 70
59.58866902410421
den =  978628000.0
n = 71
59.803087103835196
den =  1006768356.0
n = 72
59.791442745416234
den =  1035307008.0
n = 73
59.62439642394113
den =  1064243932.0
n = 74
59.84177231066974
den =  1093579104.0
n = 75
59.74209647889493
den =  1123312500.0
n = 76
60.469378648865884
den =  1153444096.0
n = 77
59.83170959936951
den =  1183973868.0
n = 78
59.700487700463015
den =  1214901792.0
n = 79
59.7318401695167
den =  1246227844.0
n = 80
59.793676913851186
den =  1277952000.0
n = 81
60.123807593673874
den =  1310074236.0
n = 82
60.17434178969918
den =  1342594528.0
n = 83
59.863100478525425
den =  1375512852.0
n = 84
59.995050808557416
den =  1408829184.0
n = 85
60.298858252294515
den =  1442543500.0
n = 86
59.68811861675595
den =  1476655776.0
n = 87
59.898935413048726
den =  1511165988.0
n = 88
59.54159859291547
den =  1546074112.0
n = 89
59.81718828333105
den =  1581380124.0
n = 90
60.12757898180269
den =  1617084000.0
n = 91
59.442233988408454
den =  1653185716.0
n = 92
59.584088252957834
den =  1689685248.0
n = 93
59.65754626107629
den =  1726582572.0
n = 94
59.967257915023474
den =  1763877664.0
n = 95
59.9876832883476
den =  1801570500.0
n = 96
59.613290120024736
den =  1839661056.0
n = 97
59.71824701322724
den =  1878149308.0
n = 98
59.66107915060324
den =  1917035232.0
n = 99
60.10099745175162
den =  1956318804.0
n = 100
59.87470812780786
den =  1996000000.0
n = 101
59.97670488118535
den =  2036078796.0
n = 102
59.850263388900224
den =  2076555168.0
n = 103
59.88087049956763
den =  2117429092.0
n = 104
59.84002015096148
den =  2158700544.0
n = 105
60.055446187327156
den =  2200369500.0
n = 106
59.351142095591506
den =  2242435936.0
n = 107
59.894103294919084
den =  2284899828.0
n = 108
59.88338728414633
den =  2327761152.0
n = 109
59.378090328143934
den =  2371019884.0
n = 110
59.639059647211184
den =  2414676000.0
n = 111
60.00971350089021
den =  2458729476.0
n = 112
59.617394685633045
den =  2503180288.0
n = 113
59.65170784465581
den =  2548028412.0
n = 114
59.98968647743835
den =  2593273824.0
n = 115
59.63879377661142
den =  2638916500.0
n = 116
59.86883169084188
den =  2684956416.0
n = 117
59.80228352099082
den =  2731393548.0
n = 118
59.95715919161001
den =  2778227872.0
n = 119
59.27593588848538
den =  2825459364.0
n = 120
59.249499492226946
den =  2873088000.0
n = 121
59.65836841115985
den =  2921113756.0
n = 122
59.75638326181231
den =  2969536608.0
n = 123
59.911807036779784
den =  3018356532.0
n = 124
59.76581867621449
den =  3067573504.0
n = 125
60.2255988321744
den =  3117187500.0
n = 126
60.069151934602765
den =  3167198496.0
n = 127
60.14904611069081
den =  3217606468.0
n = 128
59.62189365452739
den =  3268411392.0
n = 129
60.04065696522503
den =  3319613244.0
n = 130
59.962320381099154
den =  3371212000.0
n = 131
60.00390421458275
den =  3423207636.0
n = 132
59.16505477142208
den =  3475600128.0
n = 133
59.16122464917507
den =  3528389452.0
n = 134
59.91806498314006
den =  3581575584.0
n = 135
59.93243856628877
den =  3635158500.0
n = 136
59.82272183816642
den =  3689138176.0
n = 137
59.64792282897279
den =  3743514588.0
n = 138
59.61173812961998
den =  3798287712.0
n = 139
59.73483581821071
den =  3853457524.0
n = 140
60.35779155188432
den =  3909024000.0
n = 141
59.72227289778866
den =  3964987116.0
n = 142
60.096018596955155
den =  4021346848.0
n = 143
59.72153217606548
den =  4078103172.0
n = 144
59.96319177267328
den =  4135256064.0
n = 145
59.57714959870561
den =  4192805500.0
n = 146
59.80235514717965
den =  4250751456.0
n = 147
59.91651481198241
den =  4309093908.0
n = 148
60.04350758730489
den =  4367832832.0
n = 149
59.622228408634484
den =  4426968204.0
n = 150
59.6734890257072
den =  4486500000.0
n = 151
59.98319368854617
den =  4546428196.0
n = 152
59.49790776772778
den =  4606752768.0
n = 153
59.85972879244703
den =  4667473692.0
n = 154
59.54550712305245
den =  4728590944.0
n = 155
60.25887801001523
den =  4790104500.0
n = 156
59.61325143741226
den =  4852014336.0
n = 157
59.72308350961684
den =  4914320428.0
n = 158
60.16840305232139
den =  4977022752.0
n = 159
59.852750549428364
den =  5040121284.0
n = 160
59.647856202736804
den =  5103616000.0
n = 161
59.49047499814769
den =  5167506876.0
n = 162
59.66682768895821
den =  5231793888.0
n = 163
59.52179892970557
den =  5296477012.0
n = 164
59.391782224397076
den =  5361556224.0
n = 165
59.63688180863861
den =  5427031500.0
n = 166
59.89392941541036
den =  5492902816.0
n = 167
59.94475784750677
den =  5559170148.0
n = 168
59.30081376824415
den =  5625833472.0
n = 169
59.93237090390022
den =  5692892764.0
n = 170
59.79712158027903
den =  5760348000.0
n = 171
59.97786864779697
den =  5828199156.0
n = 172
59.721314908105015
den =  5896446208.0
n = 173
59.9272359645512
den =  5965089132.0
n = 174
59.7637522985047
den =  6034127904.0
n = 175
59.79480688348011
den =  6103562500.0
n = 176
59.46650595712773
den =  6173392896.0
n = 177
60.16303742152987
den =  6243619068.0
n = 178
59.95127507826038
den =  6314240992.0
n = 179
59.76691087108063
den =  6385258644.0
n = 180
59.845892879392906
den =  6456672000.0
n = 181
60.236514039072276
den =  6528481036.0
n = 182
59.763437112279526
den =  6600685728.0
n = 183
60.01703978956253
den =  6673286052.0
n = 184
59.872225759862715
den =  6746281984.0
n = 185
59.759342851331155
den =  6819673500.0
n = 186
59.833359020706695
den =  6893460576.0
n = 187
59.64420457678194
den =  6967643188.0
n = 188
59.42220986443029
den =  7042221312.0
n = 189
60.077115073371836
den =  7117194924.0
n = 190
59.35465271559302
den =  7192564000.0
n = 191
59.74595429504762
den =  7268328516.0
n = 192
59.603137339843165
den =  7344488448.0
n = 193
59.53516888277753
den =  7421043772.0
n = 194
59.8626189802101
den =  7497994464.0
n = 195
59.74705817992668
den =  7575340500.0
n = 196
59.737596630766866
den =  7653081856.0
n = 197
59.31391705129616
den =  7731218508.0
n = 198
59.256907799078256
den =  7809750432.0
n = 199
59.402759246454835
den =  7888677604.0
n = 200
59.733750860967746
den =  7968000000.0
n = 201
59.94843659255821
den =  8047717596.0
n = 202
59.70531714404622
den =  8127830368.0
n = 203
59.60655460155327
den =  8208338292.0
n = 204
59.215304476638686
den =  8289241344.0
n = 205
59.81021134901281
den =  8370539500.0
n = 206
59.55624594994634
den =  8452232736.0
n = 207
59.47448208330997
den =  8534321028.0
n = 208
59.617106920591304
den =  8616804352.0
n = 209
59.8100254422037
den =  8699682684.0
n = 210
59.53138043928985
den =  8782956000.0
n = 211
59.94140319535721
den =  8866624276.0
n = 212
59.884991249920404
den =  8950687488.0
n = 213
59.687257711989226
den =  9035145612.0
n = 214
59.52806413273749
den =  9119998624.0
n = 215
59.308268837599066
den =  9205246500.0
n = 216
59.9205881289463
den =  9290889216.0
n = 217
59.44061553085411
den =  9376926748.0
n = 218
59.87911922272698
den =  9463359072.0
n = 219
59.39858138823397
den =  9550186164.0
n = 220
60.093741922033765
den =  9637408000.0
n = 221
60.12998888263557
den =  9725024556.0
n = 222
59.52775416431255
den =  9813035808.0
n = 223
60.01060349607477
den =  9901441732.0
n = 224
59.710764043877006
den =  9990242304.0
n = 225
59.46215357585543
den =  10079437500.0
n = 226
59.52427916556128
den =  10169027296.0
n = 227
59.67224318396122
den =  10259011668.0
n = 228
59.73717452653672
den =  10349390592.0
n = 229
59.92177943989107
den =  10440164044.0
n = 230
59.65011472195907
den =  10531332000.0
n = 231
59.396336678128414
den =  10622894436.0
n = 232
59.63313879545703
den =  10714851328.0
n = 233
59.8176751000662
den =  10807202652.0
n = 234
59.66183353524589
den =  10899948384.0
n = 235
59.923910348239396
den =  10993088500.0
n = 236
59.64333457602334
den =  11086622976.0
n = 237
59.38042003340541
den =  11180551788.0
n = 238
60.18716429169165
den =  11274874912.0
n = 239
60.02646821360741
den =  11369592324.0
n = 240
60.36575276648426
den =  11464704000.0
n = 241
60.20136386994267
den =  11560209916.0
n = 242
59.81853844498064
den =  11656110048.0
n = 243
59.984985976086435
den =  11752404372.0
n = 244
59.87928403815451
den =  11849092864.0
n = 245
59.51929495779066
den =  11946175500.0
n = 246
59.75034367006719
den =  12043652256.0
n = 247
59.777882417899846
den =  12141523108.0
n = 248
60.04860390213605
den =  12239788032.0
n = 249
60.06975445106561
den =  12338447004.0
n = 250
59.32087137438131
den =  12437500000.0
n = 251
60.04404465973438
den =  12536946996.0
n = 252
59.69271963907255
den =  12636787968.0
n = 253
59.42404124891262
den =  12737022892.0
n = 254
59.41897788688908
den =  12837651744.0
n = 255
59.925411750861564
den =  12938674500.0
n = 256
59.704689934960804
den =  13040091136.0
n = 257
59.57831388489763
den =  13141901628.0
n = 258
59.295524762219365
den =  13244105952.0
n = 259
59.59109122331078
den =  13346704084.0
n = 260
59.231137482041994
den =  13449696000.0
n = 261
59.360273629100206
den =  13553081676.0
n = 262
59.81780645086106
den =  13656861088.0
n = 263
59.673232604809456
den =  13761034212.0
n = 264
59.77874383009788
den =  13865601024.0
n = 265
59.33698722904694
den =  13970561500.0
n = 266
60.08234352984147
den =  14075915616.0
n = 267
59.66423498191323
den =  14181663348.0
n = 268
59.6849681390039
den =  14287804672.0
n = 269
59.52574166760721
den =  14394339564.0
n = 270
59.81929665590939
den =  14501268000.0
n = 271
59.67025482232091
den =  14608589956.0
n = 272
59.499702397887084
den =  14716305408.0
n = 273
59.39081885801216
den =  14824414332.0
n = 274
59.47774073242886
den =  14932916704.0
n = 275
59.634698885810394
den =  15041812500.0
n = 276
60.03788584518529
den =  15151101696.0
n = 277
60.310883030370924
den =  15260784268.0
n = 278
59.785348790748095
den =  15370860192.0
n = 279
59.56473115461033
den =  15481329444.0
n = 280
59.377963663996454
den =  15592192000.0
n = 281
59.89128589897048
den =  15703447836.0
n = 282
59.61676489472023
den =  15815096928.0
n = 283
59.908229190740165
den =  15927139252.0
n = 284
59.62976333969278
den =  16039574784.0
n = 285
59.56168037569847
den =  16152403500.0
n = 286
59.20140431756517
den =  16265625376.0
n = 287
59.4629099101685
den =  16379240388.0
n = 288
59.65635796632801
den =  16493248512.0
n = 289
59.85111272188509
den =  16607649724.0
n = 290
59.767635978634885
den =  16722444000.0
n = 291
59.43908562870262
den =  16837631316.0
n = 292
59.881869759937864
den =  16953211648.0
n = 293
59.67891926970616
den =  17069184972.0
n = 294
60.02615122907432
den =  17185551264.0
n = 295
59.64976809756533
den =  17302310500.0
n = 296
59.93057569223279
den =  17419462656.0
n = 297
59.88507534414236
den =  17537007708.0
n = 298
59.759410463674854
den =  17654945632.0
n = 299
59.227619763895895
den =  17773276404.0
n = 300
60.200902932986956
den =  17892000000.0
n = 301
59.58529318382666
den =  18011116396.0
n = 302
59.17393674539699
den =  18130625568.0
n = 303
59.793903416668996
den =  18250527492.0
n = 304
59.41517942542694
den =  18370822144.0
n = 305
60.068412756192465
den =  18491509500.0
n = 306
59.64242385686638
den =  18612589536.0
n = 307
59.69176097396088
den =  18734062228.0
n = 308
59.79146204220896
den =  18855927552.0
n = 309
59.53242790082318
den =  18978185484.0
n = 310
59.53090066784534
den =  19100836000.0
n = 311
59.42141422833526
den =  19223879076.0
n = 312
59.24977383744276
den =  19347314688.0
n = 313
59.49433152353506
den =  19471142812.0
n = 314
59.703079700574115
den =  19595363424.0
n = 315
59.56157692977803
den =  19719976500.0
n = 316
59.450552297804265
den =  19844982016.0
n = 317
58.765507795686595
den =  19970379948.0
n = 318
59.97926137681204
den =  20096170272.0
n = 319
59.4295167733406
den =  20222352964.0
n = 320
59.252432464384476
den =  20348928000.0
n = 321
59.43466078591219
den =  20475895356.0
n = 322
59.630971790041364
den =  20603255008.0
n = 323
59.67032726008915
den =  20731006932.0
n = 324
59.52064364499244
den =  20859151104.0
n = 325
59.12281093950879
den =  20987687500.0
n = 326
59.95516827094824
den =  21116616096.0
n = 327
59.425863921253956
den =  21245936868.0
n = 328
60.09633750883616
den =  21375649792.0
n = 329
59.82375808759777
den =  21505754844.0
n = 330
59.389510600168855
den =  21636252000.0
n = 331
59.53571011587549
den =  21767141236.0
n = 332
59.64460863911008
den =  21898422528.0
n = 333
59.61803291045748
den =  22030095852.0
n = 334
59.24926376539256
den =  22162161184.0
n = 335
59.713065565769845
den =  22294618500.0
n = 336
59.672435795841885
den =  22427467776.0
n = 337
59.27199807070166
den =  22560708988.0
n = 338
59.771798735797844
den =  22694342112.0
n = 339
59.4239516797055
den =  22828367124.0
n = 340
59.496401094455756
den =  22962784000.0
n = 341
59.34238724995804
den =  23097592716.0
n = 342
59.41661759238873
den =  23232793248.0
n = 343
59.43685799970734
den =  23368385572.0
n = 344
59.23029228792854
den =  23504369664.0
n = 345
59.6212224626349
den =  23640745500.0
n = 346
59.35807337172105
den =  23777513056.0
n = 347
59.77556991881534
den =  23914672308.0
n = 348
59.372929710950494
den =  24052223232.0
n = 349
59.53725065141704
den =  24190165804.0
n = 350
59.59375055002127
den =  24328500000.0
n = 351
59.5906331876661
den =  24467225796.0
n = 352
59.5148815611514
den =  24606343168.0
n = 353
59.57762375123866
den =  24745852092.0
n = 354
59.18805330504292
den =  24885752544.0
n = 355
59.72703902027215
den =  25026044500.0
n = 356
59.4578838973985
den =  25166727936.0
n = 357
59.760263792283716
den =  25307802828.0
n = 358
59.462716012861314
den =  25449269152.0
n = 359
59.71640998330645
den =  25591126884.0
n = 360
59.54690188759347
den =  25733376000.0
n = 361
59.87367473428174
den =  25876016476.0
n = 362
59.483622249146784
den =  26019048288.0
n = 363
59.66719221067723
den =  26162471412.0
n = 364
59.86214496288328
den =  26306285824.0
n = 365
59.831268557809324
den =  26450491500.0
n = 366
59.334598774888924
den =  26595088416.0
n = 367
59.8593086366392
den =  26740076548.0
n = 368
59.177862094572674
den =  26885455872.0
n = 369
59.42613225282433
den =  27031226364.0
n = 370
59.46162676857694
den =  27177388000.0
n = 371
59.11328404852631
den =  27323940756.0
n = 372
59.855004346285476
den =  27470884608.0
n = 373
59.180372531858296
den =  27618219532.0
n = 374
59.75768622319158
den =  27765945504.0
n = 375
59.80189059270543
den =  27914062500.0
n = 376
60.029347791781
den =  28062570496.0
n = 377
60.20155683655093
den =  28211469468.0
n = 378
58.8609628298419
den =  28360759392.0
n = 379
59.11627616305437
den =  28510440244.0
n = 380
59.812714952825246
den =  28660512000.0
n = 381
59.88539910152563
den =  28810974636.0
n = 382
59.35065979337504
den =  28961828128.0
n = 383
59.7399530901995
den =  29113072452.0
n = 384
59.55443882081457
den =  29264707584.0
n = 385
59.58789403661886
den =  29416733500.0
n = 386
59.898787845723525
den =  29569150176.0
n = 387
59.76050854871707
den =  29721957588.0
n = 388
59.634490983795985
den =  29875155712.0
n = 389
59.176433598627334
den =  30028744524.0
n = 390
59.644550333277074
den =  30182724000.0
n = 391
59.97887931451967
den =  30337094116.0
n = 392
59.65655002827193
den =  30491854848.0
n = 393
59.012662409716164
den =  30647006172.0
n = 394
59.702531627225234
den =  30802548064.0
n = 395
59.75191363989917
den =  30958480500.0
n = 396
59.728824024087686
den =  31114803456.0
n = 397
59.18111362041201
den =  31271516908.0
n = 398
59.29602192587235
den =  31428620832.0
n = 399
60.00465085063959
den =  31586115204.0
n = 400
59.61295594400783
den =  31744000000.0
n = 401
59.77701938527479
den =  31902275196.0
n = 402
59.60382530363614
den =  32060940768.0
n = 403
59.506694605213895
den =  32219996692.0
n = 404
59.53995801078681
den =  32379442944.0
n = 405
59.49370954743223
den =  32539279500.0
n = 406
59.456986856759386
den =  32699506336.0
n = 407
59.34949662883454
den =  32860123428.0
n = 408
59.73666736536252
den =  33021130752.0
n = 409
59.46824897103982
den =  33182528284.0
n = 410
59.781170825645944
den =  33344316000.0
n = 411
59.60517720137196
den =  33506493876.0
n = 412
60.07727141665936
den =  33669061888.0
n = 413
59.83437913697288
den =  33832020012.0
n = 414
59.63280095350534
den =  33995368224.0
n = 415
59.65089965621559
den =  34159106500.0
n = 416
59.4593474710006
den =  34323234816.0
n = 417
59.288541961316874
den =  34487753148.0
n = 418
59.3365244113309
den =  34652661472.0
n = 419
59.46120917349536
den =  34817959764.0
n = 420
59.140998987548606
den =  34983648000.0
n = 421
59.238146546391775
den =  35149726156.0
n = 422
59.28458300157441
den =  35316194208.0
n = 423
59.454881054023105
den =  35483052132.0
n = 424
59.85973799779052
den =  35650299904.0
n = 425
59.38062406793108
den =  35817937500.0
n = 426
59.47553973282732
den =  35985964896.0
n = 427
59.38694915588592
den =  36154382068.0
n = 428
59.3068255210787
den =  36323188992.0
n = 429
60.35968820132445
den =  36492385644.0
n = 430
59.62068093213026
den =  36661972000.0
n = 431
59.55252849885423
den =  36831948036.0
n = 432
59.484011746534385
den =  37002313728.0
n = 433
59.55617293383471
den =  37173069052.0
n = 434
59.099504941588364
den =  37344213984.0
n = 435
59.3725686353104
den =  37515748500.0
n = 436
59.30570647354505
den =  37687672576.0
n = 437
59.74358541156494
den =  37859986188.0
n = 438
59.786108511995046
den =  38032689312.0
n = 439
59.44906739300355
den =  38205781924.0
n = 440
59.35971217468514
den =  38379264000.0
n = 441
59.85992849994434
den =  38553135516.0
n = 442
59.30321487851687
den =  38727396448.0
n = 443
59.17104970219289
den =  38902046772.0
n = 444
59.520763147731955
den =  39077086464.0
n = 445
59.25473550651948
den =  39252515500.0
n = 446
59.78690905466861
den =  39428333856.0
n = 447
59.25730317563791
den =  39604541508.0
n = 448
59.32205230798782
den =  39781138432.0
n = 449
59.51043857387663
den =  39958124604.0
n = 450
59.3880809352717
den =  40135500000.0
n = 451
59.14246770716059
den =  40313264596.0
n = 452
58.627100151181864
den =  40491418368.0
n = 453
59.555529466460634
den =  40669961292.0
n = 454
59.62241766265189
den =  40848893344.0
n = 455
59.20702132355473
den =  41028214500.0
n = 456
59.80037110481938
den =  41207924736.0
n = 457
59.755640906504446
den =  41388024028.0
n = 458
59.47574402371651
den =  41568512352.0
n = 459
59.30238769765317
den =  41749389684.0
n = 460
59.32261260201031
den =  41930656000.0
n = 461
59.64291276701652
den =  42112311276.0
n = 462
59.73598400289343
den =  42294355488.0
n = 463
59.33463249616426
den =  42476788612.0
n = 464
59.092361674237566
den =  42659610624.0
n = 465
59.349405473273535
den =  42842821500.0
n = 466
59.308099842810755
den =  43026421216.0
n = 467
59.32126028912397
den =  43210409748.0
n = 468
59.15904355689941
den =  43394787072.0
n = 469
59.762657088356136
den =  43579553164.0
n = 470
59.570997060687375
den =  43764708000.0
n = 471
59.41501202825217
den =  43950251556.0
n = 472
59.68782038644443
den =  44136183808.0
n = 473
59.46671972498769
den =  44322504732.0
n = 474
59.544954232411904
den =  44509214304.0
n = 475
59.56625888339236
den =  44696312500.0
n = 476
59.392149992827456
den =  44883799296.0
n = 477
59.632600410685214
den =  45071674668.0
n = 478
59.709631168151724
den =  45259938592.0
n = 479
59.013265489478854
den =  45448591044.0
n = 480
59.77631008794547
den =  45637632000.0
n = 481
60.01905497429787
den =  45827061436.0
n = 482
59.0231584302389
den =  46016879328.0
n = 483
59.58396756969456
den =  46207085652.0
n = 484
59.303142789526675
den =  46397680384.0
n = 485
59.51915278247644
den =  46588663500.0
n = 486
59.44843098746196
den =  46780034976.0
n = 487
59.69156766596332
den =  46971794788.0
n = 488
59.41026649425778
den =  47163942912.0
n = 489
59.18637524647303
den =  47356479324.0
n = 490
59.48610354301897
den =  47549404000.0
n = 491
59.31218931271432
den =  47742716916.0
n = 492
59.794399207759405
den =  47936418048.0
n = 493
59.681071857028215
den =  48130507372.0
n = 494
59.493109810756636
den =  48324984864.0
n = 495
59.841780274098035
den =  48519850500.0
n = 496
59.679947867816765
den =  48715104256.0
n = 497
59.74734944884725
den =  48910746108.0
n = 498
59.610948374601215
den =  49106776032.0
n = 499
59.79887506055991
den =  49303194004.0
n = 500
59.50941647199659
den =  49500000000.0
n = 501
59.77182492547774
den =  49697193996.0
n = 502
59.60954846544749
den =  49894775968.0
n = 503
59.578641564338454
den =  50092745892.0
n = 504
59.77060496295441
den =  50291103744.0
n = 505
59.843541039745276
den =  50489849500.0
n = 506
59.7729344189375
den =  50688983136.0
n = 507
59.494895682039676
den =  50888504628.0
n = 508
59.75088361760843
den =  51088413952.0
n = 509
59.54063020758177
den =  51288711084.0
n = 510
59.934330746775224
den =  51489396000.0
n = 511
59.607687808984835
den =  51690468676.0
n = 512
59.23437069254792
den =  51891929088.0
n = 513
58.81438370730407
den =  52093777212.0
n = 514
59.37179060680024
den =  52296013024.0
n = 515
59.473232090279495
den =  52498636500.0
n = 516
59.81868265428711
den =  52701647616.0
n = 517
59.23359213887333
den =  52905046348.0
n = 518
59.15302686646171
den =  53108832672.0
n = 519
59.19375444188339
den =  53313006564.0
n = 520
59.5002620269339
den =  53517568000.0
n = 521
59.38537475233795
den =  53722516956.0
n = 522
59.675048160811734
den =  53927853408.0
n = 523
59.295178489320385
den =  54133577332.0
n = 524
59.2102319504413
den =  54339688704.0
n = 525
59.84151441170369
den =  54546187500.0
n = 526
59.55164619185599
den =  54753073696.0
n = 527
59.5594606573832
den =  54960347268.0
n = 528
59.6382962223744
den =  55168008192.0
n = 529
59.257579732754095
den =  55376056444.0
n = 530
59.53055966279733
den =  55584492000.0
n = 531
59.15925470106745
den =  55793314836.0
n = 532
59.125905206270986
den =  56002524928.0
n = 533
59.85928520212993
den =  56212122252.0
n = 534
59.36116234247698
den =  56422106784.0
n = 535
59.417049141477136
den =  56632478500.0
n = 536
59.54011454674564
den =  56843237376.0
n = 537
59.706095041935654
den =  57054383388.0
n = 538
59.69622516232029
den =  57265916512.0
n = 539
59.51018219727077
den =  57477836724.0
n = 540
59.617599939778955
den =  57690144000.0
n = 541
59.52160314091448
den =  57902838316.0
n = 542
59.140033033564094
den =  58115919648.0
n = 543
59.45152201316553
den =  58329387972.0
n = 544
59.41277786422522
den =  58543243264.0
n = 545
58.93841861645616
den =  58757485500.0
n = 546
59.16606534149947
den =  58972114656.0
n = 547
59.63388929283407
den =  59187130708.0
n = 548
59.89335780433238
den =  59402533632.0
n = 549
59.03977494531979
den =  59618323404.0
n = 550
59.63539337695128
den =  59834500000.0
n = 551
59.46384680598508
den =  60051063396.0
n = 552
59.45195346202419
den =  60268013568.0
n = 553
59.54067345884568
den =  60485350492.0
n = 554
58.94181093418232
den =  60703074144.0
n = 555
59.3297501877692
den =  60921184500.0
n = 556
59.50405845896987
den =  61139681536.0
n = 557
59.62791506980507
den =  61358565228.0
n = 558
59.32871601851031
den =  61577835552.0
n = 559
59.327960360292835
den =  61797492484.0
n = 560
59.83570052001579
den =  62017536000.0
n = 561
58.98284884421372
den =  62237966076.0
n = 562
59.11028293140504
den =  62458782688.0
n = 563
59.45094580043815
den =  62679985812.0
n = 564
59.322946542293145
den =  62901575424.0
n = 565
59.857911076495945
den =  63123551500.0
n = 566
59.70610478372443
den =  63345914016.0
n = 567
59.394409355893416
den =  63568662948.0
n = 568
59.09076654403943
den =  63791798272.0
n = 569
59.297572557389245
den =  64015319964.0
n = 570
59.24301537616067
den =  64239228000.0
n = 571
59.330815800140016
den =  64463522356.0
n = 572
59.113864569571035
den =  64688203008.0
n = 573
59.6072262779959
den =  64913269932.0
n = 574
59.57779848854395
den =  65138723104.0
n = 575
59.56709937068225
den =  65364562500.0
n = 576
58.91282414462633
den =  65590788096.0
n = 577
59.46648058541786
den =  65817399868.0
n = 578
59.670832898346
den =  66044397792.0
n = 579
59.376177670900375
den =  66271781844.0
n = 580
59.74576187958353
den =  66499552000.0
n = 581
59.43973271838748
den =  66727708236.0
n = 582
59.240715445708105
den =  66956250528.0
n = 583
59.14844890816732
den =  67185178852.0
n = 584
59.44154955914805
den =  67414493184.0
n = 585
59.303045724053135
den =  67644193500.0
n = 586
59.41884168290993
den =  67874279776.0
n = 587
60.01882008543169
den =  68104751988.0
n = 588
59.79392203258613
den =  68335610112.0
n = 589
59.44148528148566
den =  68566854124.0
n = 590
59.16987557738094
den =  68798484000.0
n = 591
59.56391982174949
den =  69030499716.0
n = 592
59.31648950452021
den =  69262901248.0
n = 593
59.593905685345796
den =  69495688572.0
n = 594
59.45604040511191
den =  69728861664.0
n = 595
59.29707659485652
den =  69962420500.0
n = 596
59.173792339216156
den =  70196365056.0
n = 597
59.12506972009244
den =  70430695308.0
n = 598
59.77889635142006
den =  70665411232.0
n = 599
59.41466371465625
den =  70900512804.0
n = 600
59.581427996756034
den =  71136000000.0
n = 601
59.71331079424458
den =  71371872796.0
n = 602
59.80073893870087
den =  71608131168.0
n = 603
59.421647753589184
den =  71844775092.0
n = 604
59.50096828024172
den =  72081804544.0
n = 605
59.52877601096157
den =  72319219500.0
n = 606
59.23997771100655
den =  72557019936.0
n = 607
59.017824909749685
den =  72795205828.0
n = 608
59.38366643382242
den =  73033777152.0
n = 609
59.03478235333089
den =  73272733884.0
n = 610
59.669685150463586
den =  73512076000.0
n = 611
58.74138887984092
den =  73751803476.0
n = 612
58.871663445219575
den =  73991916288.0
n = 613
58.72685962942203
den =  74232414412.0
n = 614
59.381478622759246
den =  74473297824.0
n = 615
59.36725882650946
den =  74714566500.0
n = 616
59.22496791852993
den =  74956220416.0
n = 617
59.25565394979758
den =  75198259548.0
n = 618
59.96723477963254
den =  75440683872.0
n = 619
59.39504328492934
den =  75683493364.0
n = 620
59.33804033426946
den =  75926688000.0
n = 621
59.46936086323095
den =  76170267756.0
n = 622
59.624684984969896
den =  76414232608.0
n = 623
59.209834977312795
den =  76658582532.0
n = 624
59.6858440522051
den =  76903317504.0
n = 625
59.12772162843695
den =  77148437500.0
n = 626
59.2486169229797
den =  77393942496.0
n = 627
59.250385498197694
den =  77639832468.0
n = 628
59.19245538210578
den =  77886107392.0
n = 629
59.43723859888044
den =  78132767244.0
n = 630
59.43172731689728
den =  78379812000.0
n = 631
59.627811599076686
den =  78627241636.0
n = 632
59.68643004053034
den =  78875056128.0
n = 633
59.27697136933319
den =  79123255452.0
n = 634
59.43273610286726
den =  79371839584.0
n = 635
59.54825155891538
den =  79620808500.0
n = 636
58.70515901440635
den =  79870162176.0
n = 637
59.60986841046796
den =  80119900588.0
n = 638
59.1776589772862
den =  80370023712.0
n = 639
59.96393107141207
den =  80620531524.0
n = 640
59.72234098695688
den =  80871424000.0
n = 641
59.268769330935214
den =  81122701116.0
n = 642
59.49610342378172
den =  81374362848.0
n = 643
59.550267195851085
den =  81626409172.0
n = 644
59.56816622607841
den =  81878840064.0
n = 645
59.11419745073835
den =  82131655500.0
n = 646
59.304936800295685
den =  82384855456.0
n = 647
59.322298083920785
den =  82638439908.0
n = 648
59.22093395250833
den =  82892408832.0
n = 649
59.5787736907179
den =  83146762204.0
n = 650
59.37014313531039
den =  83401500000.0
n = 651
58.54160611026061
den =  83656622196.0
n = 652
59.12031563524941
den =  83912128768.0
n = 653
59.23584089067398
den =  84168019692.0
n = 654
59.332114206076184
den =  84424294944.0
n = 655
59.27495497699969
den =  84680954500.0
n = 656
58.77995965372541
den =  84937998336.0
n = 657
59.10725840940689
den =  85195426428.0
n = 658
59.29386829316236
den =  85453238752.0
n = 659
59.531382950425716
den =  85711435284.0
n = 660
59.46331160332666
den =  85970016000.0
n = 661
59.204371660686334
den =  86228980876.0
n = 662
59.29096842894954
den =  86488329888.0
n = 663
59.321210158689915
den =  86748063012.0
n = 664
59.38593884832099
den =  87008180224.0
n = 665
59.56503902814815
den =  87268681500.0
n = 666
58.540581751411246
den =  87529566816.0
n = 667
59.41843879264767
den =  87790836148.0
n = 668
59.63925843532519
den =  88052489472.0
n = 669
58.87080978898335
den =  88314526764.0
n = 670
59.40455839872579
den =  88576948000.0
n = 671
59.05395176216349
den =  88839753156.0
n = 672
59.47865774735011
den =  89102942208.0
n = 673
59.49426001915109
den =  89366515132.0
n = 674
59.60674037640323
den =  89630471904.0
n = 675
59.08177022125088
den =  89894812500.0
n = 676
59.25454015848502
den =  90159536896.0
n = 677
59.48547035831716
den =  90424645068.0
n = 678
59.151317304064996
den =  90690136992.0
n = 679
59.04950720885191
den =  90956012644.0
n = 680
58.894917440423406
den =  91222272000.0
n = 681
59.18241751361194
den =  91488915036.0
n = 682
59.328610768687945
den =  91755941728.0
n = 683
59.69394865475526
den =  92023352052.0
n = 684
59.40179013121953
den =  92291145984.0
n = 685
59.41575198651834
den =  92559323500.0
n = 686
59.303412753138616
den =  92827884576.0
n = 687
59.35272704136586
den =  93096829188.0
n = 688
59.13960135823535
den =  93366157312.0
n = 689
59.51377476137666
den =  93635868924.0
n = 690
59.58410332260665
den =  93905964000.0
n = 691
59.292101136938335
den =  94176442516.0
n = 692
58.984685261891705
den =  94447304448.0
n = 693
59.26805947828233
den =  94718549772.0
n = 694
59.22137663393886
den =  94990178464.0
n = 695
58.792003701437935
den =  95262190500.0
n = 696
59.448212733068736
den =  95534585856.0
n = 697
58.94572437053467
den =  95807364508.0
n = 698
59.37620661385087
den =  96080526432.0
n = 699
59.00525844928167
den =  96354071604.0
n = 700
59.22085195787795
den =  96628000000.0
n = 701
59.155820356136665
den =  96902311596.0
n = 702
58.93301055088468
den =  97177006368.0
n = 703
59.44206395375361
den =  97452084292.0
n = 704
59.01830420315887
den =  97727545344.0
n = 705
59.45264821584197
den =  98003389500.0
n = 706
59.360634895016766
den =  98279616736.0
n = 707
59.24457825956735
den =  98556227028.0
n = 708
59.43363409070192
den =  98833220352.0
n = 709
59.26186695278975
den =  99110596684.0
n = 710
59.52335960290915
den =  99388356000.0
n = 711
59.307180071278395
den =  99666498276.0
n = 712
59.30856911102276
den =  99945023488.0
n = 713
59.079830707259546
den =  100223931612.0
n = 714
59.03822222545429
den =  100503222624.0
n = 715
58.95970019111895
den =  100782896500.0
n = 716
58.77991777228066
den =  101062953216.0
n = 717
59.06919507810468
den =  101343392748.0
n = 718
58.70675334387289
den =  101624215072.0
n = 719
59.227985670660466
den =  101905420164.0
n = 720
59.11812213124949
den =  102187008000.0
n = 721
59.44877132101386
den =  102468978556.0
n = 722
58.74873479940291
den =  102751331808.0
n = 723
59.235847599205556
den =  103034067732.0
n = 724
58.751131024713416
den =  103317186304.0
n = 725
59.38173952661383
den =  103600687500.0
n = 726
59.3489986145526
den =  103884571296.0
n = 727
59.21190461476454
den =  104168837668.0
n = 728
59.062989754578375
den =  104453486592.0
n = 729
59.299241661231534
den =  104738518044.0
n = 730
58.894164311954576
den =  105023932000.0
n = 731
59.06312822194791
den =  105309728436.0
n = 732
59.384840162101945
den =  105595907328.0
n = 733
58.996467000098505
den =  105882468652.0
n = 734
59.09089892613895
den =  106169412384.0
n = 735
58.63702782131629
den =  106456738500.0
n = 736
59.037094786301935
den =  106744446976.0
n = 737
59.331885698386216
den =  107032537788.0
n = 738
59.21975540390378
den =  107321010912.0
n = 739
59.461535356600095
den =  107609866324.0
n = 740
59.54166830269121
den =  107899104000.0
n = 741
59.235815021508216
den =  108188723916.0
n = 742
58.998977702663886
den =  108478726048.0
n = 743
58.7755931280772
den =  108769110372.0
n = 744
59.02659094097395
den =  109059876864.0
n = 745
58.897774437265156
den =  109351025500.0
n = 746
59.357333711270805
den =  109642556256.0
n = 747
58.93288047840782
den =  109934469108.0
n = 748
58.93930575191264
den =  110226764032.0
n = 749
58.89325465203596
den =  110519441004.0
n = 750
59.58868395590585
den =  110812500000.0
n = 751
59.28831399508496
den =  111105940996.0
n = 752
59.093636528111865
den =  111399763968.0
n = 753
59.12845739829286
den =  111693968892.0
n = 754
58.82715848376614
den =  111988555744.0
n = 755
59.61384459196122
den =  112283524500.0
n = 756
59.215811826840195
den =  112578875136.0
n = 757
59.27044856308963
den =  112874607628.0
n = 758
59.60434916463293
den =  113170721952.0
n = 759
59.08789579970477
den =  113467218084.0
n = 760
58.775580538657195
den =  113764096000.0
n = 761
58.71081386430949
den =  114061355676.0
n = 762
59.27818887733418
den =  114358997088.0
n = 763
58.64509106735608
den =  114657020212.0
n = 764
58.93884682281018
den =  114955425024.0
n = 765
59.459290194856194
den =  115254211500.0
n = 766
59.45393312016637
den =  115553379616.0
n = 767
59.043482559719564
den =  115852929348.0
n = 768
59.21252501180525
den =  116152860672.0
n = 769
58.77054398896875
den =  116453173564.0
n = 770
59.32975875078022
den =  116753868000.0
n = 771
59.30848720515668
den =  117054943956.0
n = 772
59.13782052806062
den =  117356401408.0
n = 773
58.721916377611045
den =  117658240332.0
n = 774
58.762681370730526
den =  117960460704.0
n = 775
58.94689174881156
den =  118263062500.0
n = 776
58.96528885112337
den =  118566045696.0
n = 777
58.95074002818904
den =  118869410268.0
n = 778
59.45998068674641
den =  119173156192.0
n = 779
58.98598831639374
den =  119477283444.0
n = 780
59.053748398289834
den =  119781792000.0
n = 781
59.00193659254107
den =  120086681836.0
n = 782
58.72992724154996
den =  120391952928.0
n = 783
58.751533759556374
den =  120697605252.0
n = 784
59.20043831853055
den =  121003638784.0
n = 785
58.9561622923673
den =  121310053500.0
n = 786
59.27516697164727
den =  121616849376.0
n = 787
58.832709260402346
den =  121924026388.0
n = 788
59.135239902031856
den =  122231584512.0
n = 789
58.73592888333237
den =  122539523724.0
n = 790
59.158131359955014
den =  122847844000.0
n = 791
59.06320549752725
den =  123156545316.0
n = 792
58.96685427849814
den =  123465627648.0
n = 793
59.248230547325385
den =  123775090972.0
n = 794
59.43827452870678
den =  124084935264.0
n = 795
58.86901425563968
den =  124395160500.0
n = 796
59.433735038035984
den =  124705766656.0
n = 797
59.00502945310778
den =  125016753708.0
n = 798
59.30173882792655
den =  125328121632.0
n = 799
59.08888387717647
den =  125639870404.0
n = 800
58.84813007111779
den =  125952000000.0
n = 801
59.50380835906436
den =  126264510396.0
n = 802
58.61279180108503
den =  126577401568.0
n = 803
59.261969489593376
den =  126890673492.0
n = 804
59.50179332961014
den =  127204326144.0
n = 805
58.878754114838834
den =  127518359500.0
n = 806
59.178510479952934
den =  127832773536.0
n = 807
59.35195624977467
den =  128147568228.0
n = 808
59.18237883361081
den =  128462743552.0
n = 809
58.73569175393746
den =  128778299484.0
n = 810
58.827348304257654
den =  129094236000.0
n = 811
59.03498326049209
den =  129410553076.0
n = 812
58.75109702343735
den =  129727250688.0
n = 813
59.44078303504572
den =  130044328812.0
n = 814
59.126373615571836
den =  130361787424.0
n = 815
59.25722552058232
den =  130679626500.0
n = 816
58.64091193648939
den =  130997846016.0
n = 817
58.94882484584071
den =  131316445948.0
n = 818
58.91940576515825
den =  131635426272.0
n = 819
58.769951255484884
den =  131954786964.0
n = 820
58.77204089665337
den =  132274528000.0
n = 821
58.868319589443665
den =  132594649356.0
n = 822
58.937389217572154
den =  132915151008.0
n = 823
58.62473483012095
den =  133236032932.0
n = 824
58.90089721692188
den =  133557295104.0
n = 825
59.19701002033576
den =  133878937500.0
n = 826
59.21163186740445
den =  134200960096.0
n = 827
59.169600307365855
den =  134523362868.0
n = 828
59.36620741807709
den =  134846145792.0
n = 829
59.05036497872243
den =  135169308844.0
n = 830
59.15974691209729
den =  135492852000.0
n = 831
58.943099294110674
den =  135816775236.0
n = 832
59.427412360437565
den =  136141078528.0
n = 833
59.049094420292086
den =  136465761852.0
n = 834
58.93245580776196
den =  136790825184.0
n = 835
58.84455557145907
den =  137116268500.0
n = 836
58.90340761460885
den =  137442091776.0
n = 837
59.19931171418731
den =  137768294988.0
n = 838
59.06586498997724
den =  138094878112.0
n = 839
59.420412415310366
den =  138421841124.0
n = 840
58.79933365243644
den =  138749184000.0
n = 841
59.359365954311116
den =  139076906716.0
n = 842
59.50672206897991
den =  139405009248.0
n = 843
59.43984378968857
den =  139733491572.0
n = 844
59.32934677476284
den =  140062353664.0
n = 845
58.68431311258543
den =  140391595500.0
n = 846
59.0090211383866
den =  140721217056.0
n = 847
59.38171389380872
den =  141051218308.0
n = 848
59.094702743579
den =  141381599232.0
n = 849
59.24792033779905
den =  141712359804.0
n = 850
58.87993864802687
den =  142043500000.0
n = 851
59.179679555819355
den =  142375019796.0
n = 852
59.517617414930626
den =  142706919168.0
n = 853
58.799892971047704
den =  143039198092.0
n = 854
59.66014788049176
den =  143371856544.0
n = 855
58.970933448321354
den =  143704894500.0
n = 856
58.722464737119985
den =  144038311936.0
n = 857
59.36174166528934
den =  144372108828.0
n = 858
59.010559346902795
den =  144706285152.0
n = 859
58.96375205808746
den =  145040840884.0
n = 860
59.209626156571176
den =  145375776000.0
n = 861
58.951227694251266
den =  145711090476.0
n = 862
59.225868080831155
den =  146046784288.0
n = 863
59.09852474379663
den =  146382857412.0
n = 864
59.012910158928605
den =  146719309824.0
n = 865
59.06001860976011
den =  147056141500.0
n = 866
58.85849098042638
den =  147393352416.0
n = 867
58.72143020512576
den =  147730942548.0
n = 868
59.212996636546656
den =  148068911872.0
n = 869
59.060464642449965
den =  148407260364.0
n = 870
59.50440650212437
den =  148745988000.0
n = 871
58.844741612875794
den =  149085094756.0
n = 872
59.333375277699936
den =  149424580608.0
n = 873
58.74191816026202
den =  149764445532.0
n = 874
59.298365521315574
den =  150104689504.0
n = 875
59.127564992286125
den =  150445312500.0
n = 876
59.1538327639142
den =  150786314496.0
n = 877
59.1373879849712
den =  151127695468.0
n = 878
59.1570268944201
den =  151469455392.0
n = 879
58.77668011494768
den =  151811594244.0
n = 880
59.39835002659453
den =  152154112000.0
n = 881
59.499969996073624
den =  152497008636.0
n = 882
59.06997604192035
den =  152840284128.0
n = 883
58.651898709176436
den =  153183938452.0
n = 884
58.56081251457526
den =  153527971584.0
n = 885
59.058421127037526
den =  153872383500.0
n = 886
59.029236024459415
den =  154217174176.0
n = 887
58.69335163395373
den =  154562343588.0
n = 888
59.11277549026351
den =  154907891712.0
n = 889
58.82258709425991
den =  155253818524.0
n = 890
58.88992494767675
den =  155600124000.0
n = 891
59.21712128324549
den =  155946808116.0
n = 892
59.11801703389252
den =  156293870848.0
n = 893
58.71988401928613
den =  156641312172.0
n = 894
59.122342051840505
den =  156989132064.0
n = 895
58.948689199584656
den =  157337330500.0
n = 896
58.879774880404966
den =  157685907456.0
n = 897
59.2729880664818
den =  158034862908.0
n = 898
59.27806907184555
den =  158384196832.0
n = 899
59.62410375805507
den =  158733909204.0
n = 900
59.110829843804176
den =  159084000000.0
n = 901
59.040645437533776
den =  159434469196.0
n = 902
58.729908074510995
den =  159785316768.0
n = 903
58.71152651317322
den =  160136542692.0
n = 904
58.88914261217316
den =  160488146944.0
n = 905
59.356040825322
den =  160840129500.0
n = 906
58.77622211975618
den =  161192490336.0
n = 907
59.45402942927619
den =  161545229428.0
n = 908
59.0785097933353
den =  161898346752.0
n = 909
59.46041910243825
den =  162251842284.0
n = 910
59.07820586534766
den =  162605716000.0
n = 911
59.05203403098814
den =  162959967876.0
n = 912
58.915591943801296
den =  163314597888.0
n = 913
59.156970534732075
den =  163669606012.0
n = 914
59.28366093990798
den =  164024992224.0
n = 915
58.913662215301784
den =  164380756500.0
n = 916
59.22313880157011
den =  164736898816.0
n = 917
59.22109736240597
den =  165093419148.0
n = 918
59.074672513085666
den =  165450317472.0
n = 919
58.703864516523474
den =  165807593764.0
n = 920
59.09016890659942
den =  166165248000.0
n = 921
58.984427885568145
den =  166523280156.0
n = 922
59.029935609628296
den =  166881690208.0
n = 923
58.959174334231434
den =  167240478132.0
n = 924
59.192098692843786
den =  167599643904.0
n = 925
58.94234861027314
den =  167959187500.0
n = 926
58.88473926976248
den =  168319108896.0
n = 927
59.22074520410241
den =  168679408068.0
n = 928
59.42367101097533
den =  169040084992.0
n = 929
59.71823597362475
den =  169401139644.0
n = 930
59.422229384176234
den =  169762572000.0
n = 931
58.9342786185817
den =  170124382036.0
n = 932
58.73067270823937
den =  170486569728.0
n = 933
58.86184750855036
den =  170849135052.0
n = 934
59.14646943012081
den =  171212077984.0
n = 935
58.88716555033321
den =  171575398500.0
n = 936
59.12020124915753
den =  171939096576.0
n = 937
59.19131358346887
den =  172303172188.0
n = 938
59.03775275988765
den =  172667625312.0
n = 939
58.84936120977108
den =  173032455924.0
n = 940
58.822521766459175
den =  173397664000.0
n = 941
58.509734154590404
den =  173763249516.0
n = 942
59.12644132220286
den =  174129212448.0
n = 943
58.99166189083839
den =  174495552772.0
n = 944
59.06199143305264
den =  174862270464.0
n = 945
58.93638909548824
den =  175229365500.0
n = 946
59.30135532002292
den =  175596837856.0
n = 947
58.98483622734241
den =  175964687508.0
n = 948
59.03333519855839
den =  176332914432.0
n = 949
59.14709843795966
den =  176701518604.0
n = 950
58.99396886440936
den =  177070500000.0
n = 951
58.51676066381626
den =  177439858596.0
n = 952
59.19809084104507
den =  177809594368.0
n = 953
59.15941128692583
den =  178179707292.0
n = 954
59.221746613101516
den =  178550197344.0
n = 955
59.22007806597797
den =  178921064500.0
n = 956
58.60696534666364
den =  179292308736.0
n = 957
59.20552637695273
den =  179663930028.0
n = 958
59.35093872319165
den =  180035928352.0
n = 959
58.86621695237088
den =  180408303684.0
n = 960
59.01579836209181
den =  180781056000.0
n = 961
58.818786946922806
den =  181154185276.0
n = 962
59.03256933907608
den =  181527691488.0
n = 963
58.90623117495654
den =  181901574612.0
n = 964
59.30367839654183
den =  182275834624.0
n = 965
59.00305578774152
den =  182650471500.0
n = 966
58.880302516855764
den =  183025485216.0
n = 967
58.84883260473687
den =  183400875748.0
n = 968
58.781997072061436
den =  183776643072.0
n = 969
58.95068391847448
den =  184152787164.0
n = 970
59.02650229453474
den =  184529308000.0
n = 971
59.71960165149488
den =  184906205556.0
n = 972
59.15783432947543
den =  185283479808.0
n = 973
58.8492361609694
den =  185661130732.0
n = 974
59.21800024229112
den =  186039158304.0
n = 975
58.702269786349696
den =  186417562500.0
n = 976
58.93914087835524
den =  186796343296.0
n = 977
58.550664764232394
den =  187175500668.0
n = 978
58.962981276772645
den =  187555034592.0
n = 979
58.93725797237875
den =  187934945044.0
n = 980
59.251685458870945
den =  188315232000.0
n = 981
58.72407629496243
den =  188695895436.0
n = 982
58.902510524895725
den =  189076935328.0
n = 983
59.342077260336254
den =  189458351652.0
n = 984
58.85953894718217
den =  189840144384.0
n = 985
58.47697448863026
den =  190222313500.0
n = 986
59.06740830919895
den =  190604858976.0
n = 987
59.113781528588746
den =  190987780788.0
n = 988
58.833489420622065
den =  191371078912.0
n = 989
59.328128720160954
den =  191754753324.0
n = 990
58.924207002254036
den =  192138804000.0
n = 991
58.98417860425183
den =  192523230916.0
n = 992
58.725433655560686
den =  192908034048.0
n = 993
59.06432892945117
den =  193293213372.0
n = 994
58.47577127882975
den =  193678768864.0
n = 995
59.0183956974048
den =  194064700500.0
n = 996
59.01885668947513
den =  194451008256.0
n = 997
58.78658243257912
den =  194837692108.0
n = 998
59.06446150712608
den =  195224752032.0
n = 999
58.495006726528715
den =  195612188004.0
n = 1000
59.25473212968218
den =  196000000000.0
n = 1001
59.132594505306876
den =  196388187996.0
n = 1002
59.202935786401746
den =  196776751968.0
n = 1003
59.220424520339506
den =  197165691892.0
n = 1004
58.86847033796526
den =  197555007744.0
n = 1005
58.96610426294535
den =  197944699500.0
n = 1006
59.00027440479407
den =  198334767136.0
n = 1007
59.13561072068078
den =  198725210628.0
n = 1008
59.004826302943776
den =  199116029952.0
n = 1009
59.069507606606734
den =  199507225084.0
n = 1010
59.054532407593506
den =  199898796000.0
n = 1011
58.85287424668039
den =  200290742676.0
n = 1012
58.86659438082937
den =  200683065088.0
n = 1013
59.112126676273725
den =  201075763212.0
n = 1014
58.813938337653035
den =  201468837024.0
n = 1015
58.65771633393121
den =  201862286500.0
n = 1016
58.88287055092588
den =  202256111616.0
n = 1017
58.96548212576047
den =  202650312348.0
n = 1018
59.094934413319535
den =  203044888672.0
n = 1019
58.94036920808355
den =  203439840564.0
n = 1020
57.93995091833662
den =  203835168000.0
n = 1021
58.70883758524954
den =  204230870956.0
n = 1022
58.650066723239135
den =  204626949408.0
n = 1023
58.622754234709404
den =  205023403332.0
n = 1024
58.75635633560646
den =  205420232704.0
n = 1025
59.141521533873025
den =  205817437500.0
n = 1026
59.41808412348788
den =  206215017696.0
n = 1027
59.06882576091844
den =  206612973268.0
n = 1028
59.0881706089214
den =  207011304192.0
n = 1029
58.61213631876682
den =  207410010444.0
n = 1030
58.9611553036225
den =  207809092000.0
n = 1031
59.07947441505237
den =  208208548836.0
n = 1032
59.02093269611551
den =  208608380928.0
n = 1033
58.47265972979148
den =  209008588252.0
n = 1034
58.800026204285935
den =  209409170784.0
n = 1035
58.83983395377903
den =  209810128500.0
n = 1036
58.99685648058684
den =  210211461376.0
n = 1037
58.8927933640413
den =  210613169388.0
n = 1038
59.20847986415166
den =  211015252512.0
n = 1039
58.76476314891015
den =  211417710724.0
n = 1040
59.38542139384103
den =  211820544000.0
n = 1041
58.86294930816975
den =  212223752316.0
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58.63980178150174
den =  212627335648.0
n = 1043
59.23950549173817
den =  213031293972.0
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58.77302481735312
den =  213435627264.0
n = 1045
58.84657515832714
den =  213840335500.0
n = 1046
59.025131828432784
den =  214245418656.0
n = 1047
58.97244251593069
den =  214650876708.0
n = 1048
58.738055884713596
den =  215056709632.0
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59.14423714183497
den =  215462917404.0
n = 1050
59.46129447148609
den =  215869500000.0
n = 1051
58.73223771278481
den =  216276457396.0
n = 1052
59.059592241095835
den =  216683789568.0
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59.13845689847292
den =  217091496492.0
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58.68298236479126
den =  217499578144.0
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58.685475646063125
den =  217908034500.0
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59.211310478965665
den =  218316865536.0
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58.730127593429565
den =  218726071228.0
n = 1058
59.02930102882023
den =  219135651552.0
n = 1059
58.583144896673396
den =  219545606484.0
n = 1060
58.99315458588185
den =  219955936000.0
n = 1061
58.74052236376473
den =  220366640076.0
n = 1062
58.66279077185874
den =  220777718688.0
n = 1063
58.55943825480276
den =  221189171812.0
n = 1064
58.875588993186945
den =  221600999424.0
n = 1065
58.815773516870905
den =  222013201500.0
n = 1066
58.941672961240286
den =  222425778016.0
n = 1067
59.25677756304668
den =  222838728948.0
n = 1068
59.358131334307025
den =  223252054272.0
n = 1069
58.82766654166426
den =  223665753964.0
n = 1070
58.97330978981478
den =  224079828000.0
n = 1071
58.950006864447005
den =  224494276356.0
n = 1072
58.93276059363728
den =  224909099008.0
n = 1073
59.00666414680578
den =  225324295932.0
n = 1074
59.00400383192984
den =  225739867104.0
n = 1075
58.88249641264087
den =  226155812500.0
n = 1076
59.16522905312268
den =  226572132096.0
n = 1077
58.845877982309474
den =  226988825868.0
n = 1078
59.182147971883346
den =  227405893792.0
n = 1079
59.231842707628495
den =  227823335844.0
n = 1080
58.76320082563842
den =  228241152000.0
n = 1081
58.44656314495689
den =  228659342236.0
n = 1082
58.94071831881802
den =  229077906528.0
n = 1083
59.097281511300224
den =  229496844852.0
n = 1084
58.85370646392076
den =  229916157184.0
n = 1085
58.58087058830443
den =  230335843500.0
n = 1086
58.904650217752994
den =  230755903776.0
n = 1087
58.699655985700375
den =  231176337988.0
n = 1088
58.94178826217919
den =  231597146112.0
n = 1089
58.613942951834915
den =  232018328124.0
n = 1090
59.272980732756665
den =  232439884000.0
n = 1091
58.74133596058573
den =  232861813716.0
n = 1092
59.161707449447555
den =  233284117248.0
n = 1093
58.79897118243516
den =  233706794572.0
n = 1094
59.16843761871507
den =  234129845664.0
n = 1095
58.88311120790028
den =  234553270500.0
n = 1096
58.68588637476638
den =  234977069056.0
n = 1097
59.11534094135749
den =  235401241308.0
n = 1098
58.694410636015085
den =  235825787232.0
n = 1099
58.93809299315276
den =  236250706804.0
n = 1100
58.89878014661781
den =  236676000000.0
n = 1101
59.11730058962527
den =  237101666796.0
n = 1102
58.58482744818667
den =  237527707168.0
n = 1103
58.91736910138416
den =  237954121092.0
n = 1104
58.514865833118265
den =  238380908544.0
n = 1105
58.878611867474774
den =  238808069500.0
n = 1106
58.690474865898814
den =  239235603936.0
n = 1107
58.736783835431744
den =  239663511828.0
n = 1108
59.15211280490872
den =  240091793152.0
n = 1109
58.74390691273986
den =  240520447884.0
n = 1110
58.89511172996654
den =  240949476000.0
n = 1111
59.10370835596047
den =  241378877476.0
n = 1112
58.729742970133046
den =  241808652288.0
n = 1113
58.45542037242297
den =  242238800412.0
n = 1114
58.46719046480673
den =  242669321824.0
n = 1115
59.28825268932474
den =  243100216500.0
n = 1116
59.321602745383544
den =  243531484416.0
n = 1117
59.08207261458009
den =  243963125548.0
n = 1118
58.68595060209052
den =  244395139872.0
n = 1119
59.0836523369576
den =  244827527364.0
n = 1120
58.6587133997431
den =  245260288000.0
n = 1121
59.03119373236047
den =  245693421756.0
n = 1122
58.68188888642063
den =  246126928608.0
n = 1123
58.855998125536956
den =  246560808532.0
n = 1124
59.32979463187475
den =  246995061504.0
n = 1125
58.82074909529497
den =  247429687500.0
n = 1126
59.03049638392643
den =  247864686496.0
n = 1127
58.68110835999129
den =  248300058468.0
n = 1128
58.91952719407536
den =  248735803392.0
n = 1129
58.614839112054014
den =  249171921244.0
n = 1130
58.65607421190605
den =  249608412000.0
n = 1131
58.83698940364952
den =  250045275636.0
n = 1132
58.20475059338239
den =  250482512128.0
n = 1133
59.13020145267404
den =  250920121452.0
n = 1134
59.2681911391237
den =  251358103584.0
n = 1135
58.58595101997885
den =  251796458500.0
n = 1136
58.66566441697494
den =  252235186176.0
n = 1137
58.52750123105885
den =  252674286588.0
n = 1138
59.402519007727996
den =  253113759712.0
n = 1139
58.98330460644126
den =  253553605524.0
n = 1140
58.94313809376339
den =  253993824000.0
n = 1141
58.83689186463293
den =  254434415116.0
n = 1142
58.974075485556945
den =  254875378848.0
n = 1143
58.87313814726365
den =  255316715172.0
n = 1144
58.923385993211106
den =  255758424064.0
n = 1145
58.89339124741358
den =  256200505500.0
n = 1146
59.0126160386819
den =  256642959456.0
n = 1147
58.72692605512579
den =  257085785908.0
n = 1148
58.63092319857426
den =  257528984832.0
n = 1149
58.504901896919165
den =  257972556204.0
n = 1150
58.88308738355523
den =  258416500000.0
n = 1151
58.44572664483303
den =  258860816196.0
n = 1152
58.73487183269992
den =  259305504768.0
n = 1153
59.08224621574011
den =  259750565692.0
n = 1154
58.87045903310943
den =  260195998944.0
n = 1155
58.4890104549525
den =  260641804500.0
n = 1156
58.7741482264919
den =  261087982336.0
n = 1157
58.97829856994902
den =  261534532428.0
n = 1158
58.54986007333375
den =  261981454752.0
n = 1159
58.81638531679679
den =  262428749284.0
n = 1160
59.15188280328857
den =  262876416000.0
n = 1161
58.754610091731365
den =  263324454876.0
n = 1162
59.10332741585414
den =  263772865888.0
n = 1163
58.9278133858095
den =  264221649012.0
n = 1164
58.931284587100336
den =  264670804224.0
n = 1165
58.743367062125394
den =  265120331500.0
n = 1166
58.49513932525094
den =  265570230816.0
n = 1167
58.6756915482647
den =  266020502148.0
n = 1168
58.72988434644792
den =  266471145472.0
n = 1169
58.38668330448238
den =  266922160764.0
n = 1170
58.56291969768243
den =  267373548000.0
n = 1171
58.880997744530205
den =  267825307156.0
n = 1172
58.60752577193024
den =  268277438208.0
n = 1173
58.57503028875095
den =  268729941132.0
n = 1174
58.78779305087166
den =  269182815904.0
n = 1175
58.73548529878952
den =  269636062500.0
n = 1176
58.682621440723025
den =  270089680896.0
n = 1177
58.48680099922969
den =  270543671068.0
n = 1178
58.726340437462106
den =  270998032992.0
n = 1179
58.67801755405839
den =  271452766644.0
n = 1180
58.6677552441637
den =  271907872000.0
n = 1181
58.65351959714486
den =  272363349036.0
n = 1182
58.83188167125282
den =  272819197728.0
n = 1183
58.43247726361285
den =  273275418052.0
n = 1184
58.91422023119714
den =  273732009984.0
n = 1185
58.4502523411136
den =  274188973500.0
n = 1186
58.60672243294579
den =  274646308576.0
n = 1187
58.628760998113854
den =  275104015188.0
n = 1188
58.59279408727768
den =  275562093312.0
n = 1189
58.821881856856045
den =  276020542924.0
n = 1190
58.76889179076043
den =  276479364000.0
n = 1191
58.86336308347792
den =  276938556516.0
n = 1192
58.95885998791359
den =  277398120448.0
n = 1193
58.9668115655306
den =  277858055772.0
n = 1194
58.80777250411199
den =  278318362464.0
n = 1195
58.94180476562098
den =  278779040500.0
n = 1196
59.02095091370009
den =  279240089856.0
n = 1197
59.299955063731836
den =  279701510508.0
n = 1198
59.10330854504965
den =  280163302432.0
n = 1199
58.74964473628417
den =  280625465604.0
n = 1200
58.997920108258356
den =  281088000000.0
n = 1201
59.159085172216216
den =  281550905596.0
n = 1202
58.8303236602801
den =  282014182368.0
n = 1203
58.60263926019633
den =  282477830292.0
n = 1204
58.47030663240199
den =  282941849344.0
n = 1205
58.42819980602016
den =  283406239500.0
n = 1206
58.58393895033997
den =  283871000736.0
n = 1207
58.58478072842434
den =  284336133028.0
n = 1208
58.831029994416554
den =  284801636352.0
n = 1209
58.570114506196
den =  285267510684.0
n = 1210
59.07082594460043
den =  285733756000.0
n = 1211
59.12078816817315
den =  286200372276.0
n = 1212
58.59073049722487
den =  286667359488.0
n = 1213
58.93806552294412
den =  287134717612.0
n = 1214
58.84609052841508
den =  287602446624.0
n = 1215
58.821379764043265
den =  288070546500.0
n = 1216
58.65242617102012
den =  288539017216.0
n = 1217
58.983946405289096
den =  289007858748.0
n = 1218
59.27741940303654
den =  289477071072.0
n = 1219
58.52342899603907
den =  289946654164.0
n = 1220
58.10997249318593
den =  290416608000.0
n = 1221
57.90977499983195
den =  290886932556.0
n = 1222
58.76574985285447
den =  291357627808.0
n = 1223
58.78354561496302
den =  291828693732.0
n = 1224
58.51159255708287
den =  292300130304.0
n = 1225
59.17174273442166
den =  292771937500.0
n = 1226
58.83942527224179
den =  293244115296.0
n = 1227
58.653983064796954
den =  293716663668.0
n = 1228
58.33469197048424
den =  294189582592.0
n = 1229
58.725767725419566
den =  294662872044.0
n = 1230
58.47475473442578
den =  295136532000.0
n = 1231
58.72979552400119
den =  295610562436.0
n = 1232
58.73117852801395
den =  296084963328.0
n = 1233
58.43753358948787
den =  296559734652.0
n = 1234
58.624836991416714
den =  297034876384.0
n = 1235
58.73148537619798
den =  297510388500.0
n = 1236
58.78662527605009
den =  297986270976.0
n = 1237
58.59920864231651
den =  298462523788.0
n = 1238
58.630475642979036
den =  298939146912.0
n = 1239
58.48053319670315
den =  299416140324.0
n = 1240
58.55733404111943
den =  299893504000.0
n = 1241
58.91804431998238
den =  300371237916.0
n = 1242
58.92129948694159
den =  300849342048.0
n = 1243
58.97659970640156
den =  301327816372.0
n = 1244
59.043190966257114
den =  301806660864.0
n = 1245
58.99392060182028
den =  302285875500.0
n = 1246
58.86435056801448
den =  302765460256.0
n = 1247
58.824395758255626
den =  303245415108.0
n = 1248
59.04429150772573
den =  303725740032.0
n = 1249
58.6443457370928
den =  304206435004.0
n = 1250
58.625978596128554
den =  304687500000.0
n = 1251
58.601335351237815
den =  305168934996.0
n = 1252
58.88668007949172
den =  305650739968.0
n = 1253
59.246810127087706
den =  306132914892.0
n = 1254
58.727571872964994
den =  306615459744.0
n = 1255
58.60630979971653
den =  307098374500.0
n = 1256
58.29927647081522
den =  307581659136.0
n = 1257
58.43909985854006
den =  308065313628.0
n = 1258
58.3681445429252
den =  308549337952.0
n = 1259
58.90760218777439
den =  309033732084.0
n = 1260
58.60514754717282
den =  309518496000.0
n = 1261
59.06044006700522
den =  310003629676.0
n = 1262
58.543710530376984
den =  310489133088.0
n = 1263
58.612509933034985
den =  310975006212.0
n = 1264
58.39573925271111
den =  311461249024.0
n = 1265
58.933861247411436
den =  311947861500.0
n = 1266
58.856420624117135
den =  312434843616.0
n = 1267
59.307230436591915
den =  312922195348.0
n = 1268
58.65290570817536
den =  313409916672.0
n = 1269
58.99600843065044
den =  313898007564.0
n = 1270
58.824644537310505
den =  314386468000.0
n = 1271
58.88774695303326
den =  314875297956.0
n = 1272
58.81507983069114
den =  315364497408.0
n = 1273
58.926864562793654
den =  315854066332.0
n = 1274
58.623603905529095
den =  316344004704.0
n = 1275
58.79872111451409
den =  316834312500.0
n = 1276
59.27765354972912
den =  317324989696.0
n = 1277
58.85729540948992
den =  317816036268.0
n = 1278
58.46758704174374
den =  318307452192.0
n = 1279
58.8732995066179
den =  318799237444.0
n = 1280
58.9163213514318
den =  319291392000.0
n = 1281
58.95483758803576
den =  319783915836.0
n = 1282
58.79370415372097
den =  320276808928.0
n = 1283
59.031478241216504
den =  320770071252.0
n = 1284
58.78496920282682
den =  321263702784.0
n = 1285
58.768242810871975
den =  321757703500.0
n = 1286
59.02301759450678
den =  322252073376.0
n = 1287
58.4271316234083
den =  322746812388.0
n = 1288
58.711953663148506
den =  323241920512.0
n = 1289
58.64161482342603
den =  323737397724.0
n = 1290
58.86050593403385
den =  324233244000.0
n = 1291
58.46877125537441
den =  324729459316.0
n = 1292
58.22729097805466
den =  325226043648.0
n = 1293
57.686862658819855
den =  325722996972.0
n = 1294
58.53387697253457
den =  326220319264.0
n = 1295
58.447912294982935
den =  326718010500.0
n = 1296
58.761374739360676
den =  327216070656.0
n = 1297
58.35560322482845
den =  327714499708.0
n = 1298
58.89567733457935
den =  328213297632.0
n = 1299
58.525340851659706
den =  328712464404.0
n = 1300
58.69116917751565
den =  329212000000.0
n = 1301
58.544484531871575
den =  329711904396.0
n = 1302
58.659610119976634
den =  330212177568.0
n = 1303
58.47622928035983
den =  330712819492.0
n = 1304
58.80038460301748
den =  331213830144.0
n = 1305
58.678189233693416
den =  331715209500.0
n = 1306
58.747092254900814
den =  332216957536.0
n = 1307
58.543890119571415
den =  332719074228.0
n = 1308
58.031575039603396
den =  333221559552.0
n = 1309
58.47151146991034
den =  333724413484.0
n = 1310
58.6062340699381
den =  334227636000.0
n = 1311
58.81220594089722
den =  334731227076.0
n = 1312
58.899923106199985
den =  335235186688.0
n = 1313
58.48353023332736
den =  335739514812.0
n = 1314
58.63129581877753
den =  336244211424.0
n = 1315
58.48206651734653
den =  336749276500.0
n = 1316
58.917365331848494
den =  337254710016.0
n = 1317
58.55960389310131
den =  337760511948.0
n = 1318
58.529399983094024
den =  338266682272.0
n = 1319
58.73873049481238
den =  338773220964.0
n = 1320
58.82666609121312
den =  339280128000.0
n = 1321
58.66568772850807
den =  339787403356.0
n = 1322
58.42169288239754
den =  340295047008.0
n = 1323
58.49800599084749
den =  340803058932.0
n = 1324
58.47319042321601
den =  341311439104.0
n = 1325
58.90722313041889
den =  341820187500.0
n = 1326
58.76393748597767
den =  342329304096.0
n = 1327
58.68509559798419
den =  342838788868.0
n = 1328
58.51817651919745
den =  343348641792.0
n = 1329
58.845929813045
den =  343858862844.0
n = 1330
58.394280975329735
den =  344369452000.0
n = 1331
58.9107949227774
den =  344880409236.0
n = 1332
58.4151060105134
den =  345391734528.0
n = 1333
58.53353869970899
den =  345903427852.0
n = 1334
58.55997123093075
den =  346415489184.0
n = 1335
58.69232261292305
den =  346927918500.0
n = 1336
58.017744938564384
den =  347440715776.0
n = 1337
58.656990974678585
den =  347953880988.0
n = 1338
58.72407926356601
den =  348467414112.0
n = 1339
58.85706200837144
den =  348981315124.0
n = 1340
57.9619662898786
den =  349495584000.0
n = 1341
58.40797847697689
den =  350010220716.0
n = 1342
58.74400911970911
den =  350525225248.0
n = 1343
58.61770039992881
den =  351040597572.0
n = 1344
58.67843145564254
den =  351556337664.0
n = 1345
58.638254318657864
den =  352072445500.0
n = 1346
58.49798602092497
den =  352588921056.0
n = 1347
58.53553057373384
den =  353105764308.0
n = 1348
58.366336125239854
den =  353622975232.0
n = 1349
58.37628675525767
den =  354140553804.0
n = 1350
58.2846154049673
den =  354658500000.0
n = 1351
58.50196694810516
den =  355176813796.0
n = 1352
58.572092902529015
den =  355695495168.0
n = 1353
58.6449176923729
den =  356214544092.0
n = 1354
58.87858324481216
den =  356733960544.0
n = 1355
58.63127740736859
den =  357253744500.0
n = 1356
58.89493350928757
den =  357773895936.0
n = 1357
58.7171050872606
den =  358294414828.0
n = 1358
58.862270794320146
den =  358815301152.0
n = 1359
58.66041874568152
den =  359336554884.0
n = 1360
59.032332733624216
den =  359858176000.0
n = 1361
58.74057247225651
den =  360380164476.0
n = 1362
58.886018355142745
den =  360902520288.0
n = 1363
58.32011199617401
den =  361425243412.0
n = 1364
58.60228486053671
den =  361948333824.0
n = 1365
58.723127697035245
den =  362471791500.0
n = 1366
58.38211566852862
den =  362995616416.0
n = 1367
58.30353854468386
den =  363519808548.0
n = 1368
58.37858515930636
den =  364044367872.0
n = 1369
58.471045424969596
den =  364569294364.0
n = 1370
58.81923606890344
den =  365094588000.0
n = 1371
58.02174119755139
den =  365620248756.0
n = 1372
58.16624925461374
den =  366146276608.0
n = 1373
58.618157307818635
den =  366672671532.0
n = 1374
58.323029595336656
den =  367199433504.0
n = 1375
58.44617327485416
den =  367726562500.0
n = 1376
59.055655499759254
den =  368254058496.0
n = 1377
59.001922570916065
den =  368781921468.0
n = 1378
58.40922977058849
den =  369310151392.0
n = 1379
58.533203139388306
den =  369838748244.0
n = 1380
58.46623947753962
den =  370367712000.0
n = 1381
58.5292884609983
den =  370897042636.0
n = 1382
58.56603245612568
den =  371426740128.0
n = 1383
58.27015763603122
den =  371956804452.0
n = 1384
58.91730957219516
den =  372487235584.0
n = 1385
58.59379138721822
den =  373018033500.0
n = 1386
58.622296779487115
den =  373549198176.0
n = 1387
58.65326594598383
den =  374080729588.0
n = 1388
58.254237992221825
den =  374612627712.0
n = 1389
58.55199037172472
den =  375144892524.0
n = 1390
58.6073730572939
den =  375677524000.0
n = 1391
58.35986345991977
den =  376210522116.0
n = 1392
58.324359776699
den =  376743886848.0
n = 1393
58.391820986040045
den =  377277618172.0
n = 1394
58.84131347272765
den =  377811716064.0
n = 1395
58.68509643085241
den =  378346180500.0
n = 1396
58.48547509985374
den =  378881011456.0
n = 1397
58.80504339286597
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59.06134111973546
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n = 1399
58.79261906906247
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n = 1400
58.76067704457514
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58.81426437832086
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n = 1402
58.91391325971813
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58.729648745488234
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58.864073828084
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58.3809340225711
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58.200443127511704
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58.657600202322776
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58.2173271699897
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58.518368693895596
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58.53250006944928
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58.52758260781134
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58.43974635524544
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58.629401021647986
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58.44669901689607
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58.52705271113353
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58.87434540433804
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58.353290672796604
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58.51707333678905
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58.615365637481865
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58.13154467112901
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58.31663806723291
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58.70642736210095
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58.60482085383879
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58.248789279423534
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58.282971932693165
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58.60133919248794
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58.62216708913392
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58.31918886359223
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58.42989583538222
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58.23173662279933
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58.40114333243702
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58.64718363813523
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58.44937635684156
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58.40832761089722
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58.16530737006434
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58.690777192206795
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58.561741656632044
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58.3133755349996
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58.57371314807018
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58.52651547461479
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58.56614067895841
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58.0708333606395
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58.030036134645684
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58.465175470722315
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58.534060305844115
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58.2101920377338
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58.673795333559
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58.2645993622215
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58.162976556920505
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58.74745422895274
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58.26637723795254
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58.412948000750156
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58.256241304159204
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58.19739796512473
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58.107925547277716
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58.55319207839439
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58.67179145860094
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58.57518202359254
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58.35291129236365
den =  413313217684.0
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58.695158007543895
den =  413871456000.0
n = 1461
57.77620511970443
den =  414430059276.0
n = 1462
57.92984569235354
den =  414989027488.0
n = 1463
58.57545205936489
den =  415548360612.0
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58.23375739987635
den =  416108058624.0
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58.72102560545524
den =  416668121500.0
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58.51712512235549
den =  417228549216.0
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59.08984901745341
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58.24152216944672
den =  418350499072.0
n = 1469
58.02063104605072
den =  418912021164.0
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58.8454286228126
den =  419473908000.0
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58.50705681337575
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58.796632008592894
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58.189128103757035
den =  421161756732.0
n = 1474
58.561753165120486
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n = 1475
57.54248281756786
den =  422288812500.0
n = 1476
58.93382391304833
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58.361688880608405
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n = 1478
58.57656552930017
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58.56893752757438
den =  424547299044.0
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58.04344462454653
den =  425112832000.0
n = 1481
58.323400814621344
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58.45238824525415
den =  426244991328.0
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58.563983215189474
den =  426811617652.0
n = 1484
58.685326658221946
den =  427378608384.0
n = 1485
58.57965489498403
den =  427945963500.0
n = 1486
58.46702849335829
den =  428513682976.0
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58.55912283288566
den =  429081766788.0
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58.30699119530984
den =  429650214912.0
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58.66777385730644
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n = 1490
58.47595984457786
den =  430788204000.0
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58.17110544135891
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n = 1492
58.407666955996625
den =  431927650048.0
n = 1493
58.03748130535421
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58.56533100511144
den =  433068552864.0
n = 1495
58.47051526081041
den =  433639550500.0
n = 1496
58.717087826962704
den =  434210912256.0
n = 1497
58.05654631127179
den =  434782638108.0
n = 1498
58.94292403055235
den =  435354728032.0
n = 1499
58.346413753492435
den =  435927182004.0
n = 1500
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den =  436500000000.0
n = 1501
58.35045807826426
den =  437073181996.0
n = 1502
58.07277601176525
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58.642007127775976
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58.4660790628241
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57.86585679525528
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58.200556132323044
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58.243728566441526
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58.50597228769555
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57.88263550397369
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n = 1510
58.88893726283343
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58.22412221432537
den =  442825016676.0
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58.63403632375956
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58.426472338624436
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58.20579271334699
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58.5496089240311
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58.41605613612743
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58.4046848671176
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58.45616214390226
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59.00511158468045
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59.10888891770123
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58.18127065305638
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58.61035490308355
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58.26670838377913
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58.686249692632806
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58.419662746287145
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58.6557096526726
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58.17922252777477
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58.33687456197434
den =  452686600192.0
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58.32302774176095
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58.31431936236821
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58.48670290783621
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58.25482315199203
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58.07166160353472
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58.47626047086436
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58.69752615021647
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58.39490908882238
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57.90785139682966
den =  457949955388.0
n = 1538
58.4794859942914
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58.79956584388679
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58.12119089375904
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n = 1541
58.43878017817299
den =  460298666316.0
n = 1542
58.39358526809142
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58.62164697175751
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n = 1544
59.088260396254874
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58.32596285033015
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58.02774714638288
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58.268465680365104
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58.75531252734307
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58.234511044493985
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58.03052575797934
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58.411978243497636
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58.12461060029461
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58.37311513119797
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58.45017224583855
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58.68406329591442
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n = 1556
58.045305349551036
den =  469158049536.0
n = 1557
58.620221651699666
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n = 1558
58.57053221052759
den =  470345467552.0
n = 1559
58.92622513356088
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58.39957607809862
den =  471534336000.0
n = 1561
58.61388256642179
den =  472129314076.0
n = 1562
58.245676859749146
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n = 1563
58.02237117058914
den =  473320357812.0
n = 1564
58.38779436746877
den =  473916423424.0
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58.54564449713541
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57.88750703759948
den =  475109642016.0
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58.47998729720212
den =  475706794948.0
n = 1568
58.14468550521127
den =  476304310272.0
n = 1569
57.98176809078706
den =  476902187964.0
n = 1570
58.31701675593605
den =  477500428000.0
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58.501927204714484
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n = 1572
58.593926012386866
den =  478697995008.0
n = 1573
58.230291904698205
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n = 1574
58.41056607636171
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n = 1575
58.371231491877346
den =  480497062500.0
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58.66155957360824
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58.339909261683516
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n = 1578
58.45805169555658
den =  482299389792.0
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58.304594149071335
den =  482900889844.0
n = 1580
58.39192810583034
den =  483502752000.0
n = 1581
58.56076907956747
den =  484104976236.0
n = 1582
58.22854237586154
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n = 1583
58.258678404191635
den =  485310510852.0
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58.56509642871626
den =  485913821184.0
n = 1585
58.72844998634976
den =  486517493500.0
n = 1586
58.23545023644136
den =  487121527776.0
n = 1587
58.27262778708052
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n = 1588
58.2826739197271
den =  488330682112.0
n = 1589
58.288036118781015
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n = 1590
57.98142243660916
den =  489541284000.0
n = 1591
58.48074108847967
den =  490147127716.0
n = 1592
58.09792810906984
den =  490753333248.0
n = 1593
58.450126388465605
den =  491359900572.0
n = 1594
58.28403032045553
den =  491966829664.0
n = 1595
58.012263989770034
den =  492574120500.0
n = 1596
58.15516686833316
den =  493181773056.0
n = 1597
58.528797100978
den =  493789787308.0
n = 1598
58.59176097200632
den =  494398163232.0
n = 1599
58.53849673250809
den =  495006900804.0
n = 1600
58.37346932315663
den =  495616000000.0
n = 1601
58.78253174530013
den =  496225460796.0
n = 1602
58.73932100996332
den =  496835283168.0
n = 1603
58.776965882207264
den =  497445467092.0
n = 1604
58.46566550600979
den =  498056012544.0
n = 1605
58.4106999858629
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n = 1606
58.13544745395358
den =  499278187936.0
n = 1607
58.561356370253456
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n = 1608
58.39156609324898
den =  500501809152.0
n = 1609
58.32487923874876
den =  501114161884.0
n = 1610
58.51782185477399
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n = 1611
58.016887627224065
den =  502339951476.0
n = 1612
58.261029827224036
den =  502953388288.0
n = 1613
58.66884544555034
den =  503567186412.0
n = 1614
58.465361144537965
den =  504181345824.0
n = 1615
58.235815929477994
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n = 1616
58.28224218786633
den =  505410748416.0
n = 1617
58.79372591387212
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n = 1618
58.25808561928282
den =  506641595872.0
n = 1619
58.793074393288414
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n = 1620
58.088977840833635
den =  507873888000.0
n = 1621
58.334733799645164
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n = 1622
58.17000800080721
den =  509107624608.0
n = 1623
58.52995907449417
den =  509725034532.0
n = 1624
58.181453049155714
den =  510342805504.0
n = 1625
58.23538368028663
den =  510960937500.0
n = 1626
58.57754252889126
den =  511579430496.0
n = 1627
58.42737076065107
den =  512198284468.0
n = 1628
58.33103441693962
den =  512817499392.0
n = 1629
58.437715548691955
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n = 1630
58.3262417404965
den =  514057012000.0
n = 1631
58.67299109591663
den =  514677309636.0
n = 1632
58.266417663026374
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n = 1633
58.75311332095889
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n = 1634
57.89944691737166
den =  516540367584.0
n = 1635
58.24862626604361
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n = 1636
58.21010321891205
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n = 1637
58.47935171241827
den =  518406672588.0
n = 1638
58.20583938362406
den =  519029495712.0
n = 1639
58.34072850197065
den =  519652679524.0
n = 1640
58.44031311084478
den =  520276224000.0
n = 1641
57.94935200123228
den =  520900129116.0
n = 1642
58.18702812534966
den =  521524394848.0
n = 1643
58.07438489632678
den =  522149021172.0
n = 1644
58.07128117081944
den =  522774008064.0
n = 1645
58.41178587979565
den =  523399355500.0
n = 1646
58.40048668556094
den =  524025063456.0
n = 1647
58.37102632455363
den =  524651131908.0
n = 1648
58.4780534207295
den =  525277560832.0
n = 1649
57.92622294217703
den =  525904350204.0
n = 1650
58.28397729994861
den =  526531500000.0
n = 1651
58.381793734886244
den =  527159010196.0
n = 1652
58.197250782898585
den =  527786880768.0
n = 1653
58.077307582382105
den =  528415111692.0
n = 1654
57.82335240665007
den =  529043702944.0
n = 1655
58.30797433935546
den =  529672654500.0
n = 1656
58.39312777025028
den =  530301966336.0
n = 1657
58.24828789632905
den =  530931638428.0
n = 1658
58.39741246486398
den =  531561670752.0
n = 1659
58.13062009828214
den =  532192063284.0
n = 1660
58.11498179288321
den =  532822816000.0
n = 1661
57.83904213180616
den =  533453928876.0
n = 1662
58.47904526882362
den =  534085401888.0
n = 1663
58.21916964320575
den =  534717235012.0
n = 1664
58.778137658521864
den =  535349428224.0
n = 1665
57.957136862132145
den =  535981981500.0
n = 1666
58.292758235192736
den =  536614894816.0
n = 1667
57.571999347045875
den =  537248168148.0
n = 1668
57.868791716677165
den =  537881801472.0
n = 1669
58.02191116882576
den =  538515794764.0
n = 1670
58.59623076818938
den =  539150148000.0
n = 1671
58.02963702175491
den =  539784861156.0
n = 1672
58.36116368517023
den =  540419934208.0
n = 1673
58.01629744965073
den =  541055367132.0
n = 1674
57.58161372366994
den =  541691159904.0
n = 1675
58.75832866284221
den =  542327312500.0
n = 1676
58.12013785905673
den =  542963824896.0
n = 1677
57.57805048874875
den =  543600697068.0
n = 1678
57.38702777675413
den =  544237928992.0
n = 1679
58.01019132160126
den =  544875520644.0
n = 1680
58.47559923329799
den =  545513472000.0
n = 1681
58.42666138246861
den =  546151783036.0
n = 1682
58.05448856963182
den =  546790453728.0
n = 1683
58.66959846966476
den =  547429484052.0
n = 1684
57.86393282515944
den =  548068873984.0
n = 1685
58.33939575904566
den =  548708623500.0
n = 1686
57.93834722094388
den =  549348732576.0
n = 1687
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57.92800309103612
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58.03483971927271
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57.951338646445
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58.22568151340301
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58.41569862682709
den =  597046246084.0
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58.089633425155284
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n = 1763
57.96071746877239
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58.26395123209267
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57.93055999725318
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58.357679451117846
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58.335951001829976
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57.89712223346919
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58.01182915054413
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58.51622431201934
den =  605069651956.0
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58.240774386642656
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58.08160263822101
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57.829038828701414
den =  607083548704.0
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57.78009752300937
den =  607755562500.0
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57.99114754527272
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58.359155869600805
den =  609100662268.0
n = 1778
58.17743520690182
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58.11482833406751
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n = 1780
58.01206404963299
den =  611120992000.0
n = 1781
57.51586827916432
den =  611795149836.0
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57.76878404929045
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58.193097488564575
den =  613144537252.0
n = 1784
58.15566348831276
den =  613819766784.0
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58.463187161963376
den =  614495353500.0
n = 1786
58.50316081998626
den =  615171297376.0
n = 1787
57.713269328248366
den =  615847598388.0
n = 1788
58.096355967423825
den =  616524256512.0
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57.93809724270777
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n = 1790
58.11653256777222
den =  617878644000.0
n = 1791
58.10624232147928
den =  618556373316.0
n = 1792
58.293293581454634
den =  619234459648.0
n = 1793
57.720202330527975
den =  619912902972.0
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58.07031195917782
den =  620591703264.0
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58.02219494091443
den =  621270860500.0
n = 1796
57.45847556171727
den =  621950374656.0
n = 1797
57.98579656371122
den =  622630245708.0
n = 1798
58.10045434750115
den =  623310473632.0
n = 1799
57.533675584950316
den =  623991058404.0
n = 1800
58.13038969338638
den =  624672000000.0
n = 1801
57.88756605226084
den =  625353298396.0
n = 1802
57.55207637230401
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n = 1803
58.035198694306864
den =  626716965492.0
n = 1804
58.01614727710388
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n = 1805
58.06424769966567
den =  628082059500.0
n = 1806
58.35827863885823
den =  628765141536.0
n = 1807
58.127757933448166
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n = 1808
58.2211878645322
den =  630132375552.0
n = 1809
58.133959854078824
den =  630816527484.0
n = 1810
57.966117847578786
den =  631501036000.0
n = 1811
57.94494983736468
den =  632185901076.0
n = 1812
58.31759291305925
den =  632871122688.0
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58.46070433174484
den =  633556700812.0
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58.16472308222288
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n = 1815
58.092353000857564
den =  634928926500.0
n = 1816
57.81109761208751
den =  635615574016.0
n = 1817
58.152471776583894
den =  636302577948.0
n = 1818
57.710309288214965
den =  636989938272.0
n = 1819
58.17398416885694
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n = 1820
57.881400063522904
den =  638365728000.0
n = 1821
58.12765844729396
den =  639054157356.0
n = 1822
58.61318001179246
den =  639742943008.0
n = 1823
58.092352351098484
den =  640432084932.0
n = 1824
58.36107683562152
den =  641121583104.0
n = 1825
58.096477252217625
den =  641811437500.0
n = 1826
57.67597153908187
den =  642501648096.0
n = 1827
58.12881838481545
den =  643192214868.0
n = 1828
58.00896458465546
den =  643883137792.0
n = 1829
57.89820805656982
den =  644574416844.0
n = 1830
57.90455253738938
den =  645266052000.0
n = 1831
58.30207702578787
den =  645958043236.0
n = 1832
57.85385688865894
den =  646650390528.0
n = 1833
57.89409150970573
den =  647343093852.0
n = 1834
57.3256017824509
den =  648036153184.0
n = 1835
58.238483537683244
den =  648729568500.0
n = 1836
58.026232223141065
den =  649423339776.0
n = 1837
58.159427369701845
den =  650117466988.0
n = 1838
58.287943330205
den =  650811950112.0
n = 1839
57.929558130112675
den =  651506789124.0
n = 1840
57.945844605065965
den =  652201984000.0
n = 1841
58.052551667896594
den =  652897534716.0
n = 1842
58.11162470574139
den =  653593441248.0
n = 1843
58.22183628225378
den =  654289703572.0
n = 1844
57.85633402423188
den =  654986321664.0
n = 1845
57.85685736894022
den =  655683295500.0
n = 1846
58.18245582938533
den =  656380625056.0
n = 1847
58.29969270750058
den =  657078310308.0
n = 1848
58.15906359309302
den =  657776351232.0
n = 1849
58.48740263181035
den =  658474747804.0
n = 1850
58.39361584431297
den =  659173500000.0
n = 1851
57.83211491289679
den =  659872607796.0
n = 1852
58.22139639511266
den =  660572071168.0
n = 1853
58.101011230163834
den =  661271890092.0
n = 1854
57.807158739353966
den =  661972064544.0
n = 1855
57.904426181691036
den =  662672594500.0
n = 1856
58.35447600227681
den =  663373479936.0
n = 1857
57.698194083595496
den =  664074720828.0
n = 1858
57.622356045970456
den =  664776317152.0
n = 1859
57.92540684271306
den =  665478268884.0
n = 1860
57.96621610285391
den =  666180576000.0
n = 1861
58.10570152178401
den =  666883238476.0
n = 1862
58.05426340433422
den =  667586256288.0
n = 1863
57.912185990101115
den =  668289629412.0
n = 1864
58.413028366484774
den =  668993357824.0
n = 1865
58.3256174721437
den =  669697441500.0
n = 1866
58.38150300104338
den =  670401880416.0
n = 1867
57.4230231995905
den =  671106674548.0
n = 1868
57.94311933267951
den =  671811823872.0
n = 1869
57.983371909906964
den =  672517328364.0
n = 1870
58.0786487791904
den =  673223188000.0
n = 1871
58.020352204320275
den =  673929402756.0
n = 1872
57.841891564049796
den =  674635972608.0
n = 1873
57.728953435972166
den =  675342897532.0
n = 1874
58.025514115202476
den =  676050177504.0
n = 1875
58.07796052233396
den =  676757812500.0
n = 1876
57.55128510412825
den =  677465802496.0
n = 1877
57.92263690036218
den =  678174147468.0
n = 1878
57.82198559694403
den =  678882847392.0
n = 1879
57.72821814163502
den =  679591902244.0
n = 1880
57.906070354520594
den =  680301312000.0
n = 1881
58.27295963953276
den =  681011076636.0
n = 1882
58.38850454606039
den =  681721196128.0
n = 1883
58.160129206857725
den =  682431670452.0
n = 1884
58.152271948739966
den =  683142499584.0
n = 1885
58.25952022213231
den =  683853683500.0
n = 1886
58.049074339380674
den =  684565222176.0
n = 1887
58.00042755964614
den =  685277115588.0
n = 1888
58.193903819659766
den =  685989363712.0
n = 1889
57.890418306787524
den =  686701966524.0
n = 1890
58.262455008630575
den =  687414924000.0
n = 1891
57.583262835609254
den =  688128236116.0
n = 1892
57.80726152535521
den =  688841902848.0
n = 1893
57.828704982357245
den =  689555924172.0
n = 1894
57.8711489842797
den =  690270300064.0
n = 1895
57.754674253969974
den =  690985030500.0
n = 1896
58.087747592012185
den =  691700115456.0
n = 1897
58.282351375485476
den =  692415554908.0
n = 1898
57.91085171489948
den =  693131348832.0
n = 1899
57.5494903925603
den =  693847497204.0
n = 1900
57.984242679213935
den =  694564000000.0
n = 1901
57.98144699055954
den =  695280857196.0
n = 1902
58.0968441846056
den =  695998068768.0
n = 1903
58.20913054057477
den =  696715634692.0
n = 1904
57.633095452709156
den =  697433554944.0
n = 1905
57.979650647008086
den =  698151829500.0
n = 1906
57.97932699796359
den =  698870458336.0
n = 1907
58.023995577764715
den =  699589441428.0
n = 1908
57.808628099370786
den =  700308778752.0
n = 1909
57.77582897493435
den =  701028470284.0
n = 1910
57.5226177306291
den =  701748516000.0
n = 1911
58.21436913273817
den =  702468915876.0
n = 1912
57.714647197184796
den =  703189669888.0
n = 1913
57.810798013680476
den =  703910778012.0
n = 1914
57.801653295177886
den =  704632240224.0
n = 1915
57.81246397532707
den =  705354056500.0
n = 1916
57.5203836769332
den =  706076226816.0
n = 1917
58.34765593687406
den =  706798751148.0
n = 1918
58.26156659949312
den =  707521629472.0
n = 1919
57.888153639783596
den =  708244861764.0
n = 1920
57.9573363670222
den =  708968448000.0
n = 1921
58.03731927560724
den =  709692388156.0
n = 1922
58.266707169290406
den =  710416682208.0
n = 1923
57.97904485456119
den =  711141330132.0
n = 1924
58.14179144504225
den =  711866331904.0
n = 1925
57.887607228580684
den =  712591687500.0
n = 1926
57.78994183456677
den =  713317396896.0
n = 1927
58.31899339343163
den =  714043460068.0
n = 1928
58.15978812045416
den =  714769876992.0
n = 1929
58.329464072995115
den =  715496647644.0
n = 1930
57.86008683994833
den =  716223772000.0
n = 1931
58.122182037999835
den =  716951250036.0
n = 1932
57.871680116844594
den =  717679081728.0
n = 1933
58.25092167658255
den =  718407267052.0
n = 1934
57.74174610309456
den =  719135805984.0
n = 1935
58.30400560391877
den =  719864698500.0
n = 1936
57.871630348181895
den =  720593944576.0
n = 1937
57.86650712798831
den =  721323544188.0
n = 1938
57.76156047858868
den =  722053497312.0
n = 1939
57.680353584846486
den =  722783803924.0
n = 1940
57.67534904760865
den =  723514464000.0
n = 1941
58.07710907046639
den =  724245477516.0
n = 1942
57.956058059019384
den =  724976844448.0
n = 1943
58.462755943075756
den =  725708564772.0
n = 1944
58.065050010659014
den =  726440638464.0
n = 1945
57.79331697686119
den =  727173065500.0
n = 1946
57.714266251674054
den =  727905845856.0
n = 1947
58.004518181725714
den =  728638979508.0
n = 1948
57.858182281695136
den =  729372466432.0
n = 1949
58.04438578139321
den =  730106306604.0
n = 1950
57.94547054688046
den =  730840500000.0
n = 1951
57.54614395323953
den =  731575046596.0
n = 1952
58.158402396276685
den =  732309946368.0
n = 1953
58.09791248436168
den =  733045199292.0
n = 1954
57.344857109871505
den =  733780805344.0
n = 1955
58.34820049080062
den =  734516764500.0
n = 1956
57.65269745991965
den =  735253076736.0
n = 1957
57.93098563058252
den =  735989742028.0
n = 1958
57.82028304881533
den =  736726760352.0
n = 1959
58.18934184474988
den =  737464131684.0
n = 1960
57.654740833133054
den =  738201856000.0
n = 1961
58.05348076126214
den =  738939933276.0
n = 1962
58.448280249006295
den =  739678363488.0
n = 1963
58.00474682287226
den =  740417146612.0
n = 1964
57.783171295105994
den =  741156282624.0
n = 1965
58.15177475406877
den =  741895771500.0
n = 1966
58.30112999750501
den =  742635613216.0
n = 1967
58.18419442133297
den =  743375807748.0
n = 1968
57.70715015384644
den =  744116355072.0
n = 1969
57.902282633235416
den =  744857255164.0
n = 1970
58.146862318746905
den =  745598508000.0
n = 1971
57.96288223383036
den =  746340113556.0
n = 1972
57.75561155511211
den =  747082071808.0
n = 1973
57.57176768600834
den =  747824382732.0
n = 1974
57.52138079770124
den =  748567046304.0
n = 1975
57.93332180682597
den =  749310062500.0
n = 1976
58.06582333680388
den =  750053431296.0
n = 1977
57.82846687292171
den =  750797152668.0
n = 1978
57.74710556468984
den =  751541226592.0
n = 1979
58.068803635774685
den =  752285653044.0
n = 1980
57.73673651381877
den =  753030432000.0
n = 1981
57.55157299554742
den =  753775563436.0
n = 1982
57.91614818209109
den =  754521047328.0
n = 1983
57.73974411778222
den =  755266883652.0
n = 1984
57.56430029354281
den =  756013072384.0
n = 1985
57.66153906357418
den =  756759613500.0
n = 1986
57.748121745038844
den =  757506506976.0
n = 1987
58.08228452024226
den =  758253752788.0
n = 1988
58.20087835530961
den =  759001350912.0
n = 1989
57.91464174482883
den =  759749301324.0
n = 1990
57.732041776007925
den =  760497604000.0
n = 1991
57.916152649004246
den =  761246258916.0
n = 1992
57.683593053634034
den =  761995266048.0
n = 1993
57.438459684470324
den =  762744625372.0
n = 1994
58.321376733271315
den =  763494336864.0
n = 1995
57.90457152904315
den =  764244400500.0
n = 1996
57.835454548279294
den =  764994816256.0
n = 1997
57.69460792408819
den =  765745584108.0
n = 1998
57.92530502840387
den =  766496704032.0
n = 1999
57.33699702458074
den =  767248176004.0
n = 2000
57.86669848374115
den =  768000000000.0
n = 2001
57.79704475713171
den =  768752175996.0
n = 2002
57.462920655800964
den =  769504703968.0
n = 2003
57.73064414169287
den =  770257583892.0
n = 2004
57.624542866578544
den =  771010815744.0
n = 2005
57.94753423532362
den =  771764399500.0
n = 2006
57.78451279017058
den =  772518335136.0
n = 2007
57.90093651231191
den =  773272622628.0
n = 2008
57.6006661341518
den =  774027261952.0
n = 2009
58.15554197205069
den =  774782253084.0
n = 2010
57.6827359643601
den =  775537596000.0
n = 2011
58.14434623906138
den =  776293290676.0
n = 2012
57.87018581873044
den =  777049337088.0
n = 2013
57.984186262163654
den =  777805735212.0
n = 2014
58.104629330448155
den =  778562485024.0
n = 2015
58.32184900856328
den =  779319586500.0
n = 2016
57.952187712273165
den =  780077039616.0
n = 2017
57.45739310323365
den =  780834844348.0
n = 2018
58.34106222813283
den =  781593000672.0
n = 2019
57.34243031970534
den =  782351508564.0
n = 2020
57.5712676952693
den =  783110368000.0
n = 2021
57.98129818939874
den =  783869578956.0
n = 2022
57.75663297100383
den =  784629141408.0
n = 2023
57.90461905157966
den =  785389055332.0
n = 2024
57.7572543503462
den =  786149320704.0
n = 2025
58.01816538956774
den =  786909937500.0
n = 2026
58.33029213785193
den =  787670905696.0
n = 2027
58.16505482163699
den =  788432225268.0
n = 2028
57.56114237349514
den =  789193896192.0
n = 2029
58.101152248017115
den =  789955918444.0
n = 2030
57.65442656806235
den =  790718292000.0
n = 2031
57.513162485681676
den =  791481016836.0
n = 2032
57.65350784124328
den =  792244092928.0
n = 2033
57.67749079643919
den =  793007520252.0
n = 2034
57.91108646048036
den =  793771298784.0
n = 2035
58.06463280752869
den =  794535428500.0
n = 2036
58.00224251966641
den =  795299909376.0
n = 2037
58.18843704983982
den =  796064741388.0
n = 2038
57.65933200527358
den =  796829924512.0
n = 2039
58.066447105031806
den =  797595458724.0
n = 2040
58.209671116929265
den =  798361344000.0
n = 2041
58.23712365105237
den =  799127580316.0
n = 2042
57.787092392113856
den =  799894167648.0
n = 2043
57.63301122875618
den =  800661105972.0
n = 2044
57.51203653385874
den =  801428395264.0
n = 2045
58.27252282674661
den =  802196035500.0
n = 2046
58.36532258483018
den =  802964026656.0
n = 2047
58.2701363657388
den =  803732368708.0
n = 2048
58.394999122371125
den =  804501061632.0
n = 2049
57.84117026424851
den =  805270105404.0
n = 2050
57.98112993688373
den =  806039500000.0
n = 2051
57.63616211940332
den =  806809245396.0
n = 2052
58.290881074817605
den =  807579341568.0
n = 2053
57.93173258200074
den =  808349788492.0
n = 2054
57.64207953664764
den =  809120586144.0
n = 2055
58.16632813168708
den =  809891734500.0
n = 2056
58.164318134955224
den =  810663233536.0
n = 2057
57.564157263319764
den =  811435083228.0
n = 2058
58.29628778437802
den =  812207283552.0
n = 2059
58.14315697811754
den =  812979834484.0
n = 2060
57.815634629855865
den =  813752736000.0
n = 2061
58.15201854827766
den =  814525988076.0
n = 2062
57.86611809284273
den =  815299590688.0
n = 2063
57.36327909662027
den =  816073543812.0
n = 2064
58.00253027077912
den =  816847847424.0
n = 2065
58.075137631334904
den =  817622501500.0
n = 2066
57.68930514098497
den =  818397506016.0
n = 2067
58.020095540915435
den =  819172860948.0
n = 2068
58.09748449880018
den =  819948566272.0
n = 2069
58.04688486633278
den =  820724621964.0
n = 2070
57.94018087333931
den =  821501028000.0
n = 2071
57.390946258701156
den =  822277784356.0
n = 2072
57.485752252877404
den =  823054891008.0
n = 2073
57.75393476447693
den =  823832347932.0
n = 2074
57.75742273205995
den =  824610155104.0
n = 2075
57.6140987973416
den =  825388312500.0
n = 2076
57.48539895708025
den =  826166820096.0
n = 2077
57.52794315427273
den =  826945677868.0
n = 2078
57.9641063370172
den =  827724885792.0
n = 2079
57.697257498556645
den =  828504443844.0
n = 2080
57.665768391999634
den =  829284352000.0
n = 2081
57.48452015597948
den =  830064610236.0
n = 2082
57.96230383772233
den =  830845218528.0
n = 2083
57.73052714755036
den =  831626176852.0
n = 2084
57.40618050810275
den =  832407485184.0
n = 2085
57.64166956470023
den =  833189143500.0
n = 2086
57.173037178964094
den =  833971151776.0
n = 2087
57.786389587162226
den =  834753509988.0
n = 2088
57.74196029189694
den =  835536218112.0
n = 2089
57.83147808476513
den =  836319276124.0
n = 2090
58.03128862277329
den =  837102684000.0
n = 2091
57.01336151061428
den =  837886441716.0
n = 2092
57.57326630590069
den =  838670549248.0
n = 2093
57.50277724772451
den =  839455006572.0
n = 2094
57.327042031002435
den =  840239813664.0
n = 2095
57.65177938543595
den =  841024970500.0
n = 2096
57.83221748794421
den =  841810477056.0
n = 2097
57.767230378712085
den =  842596333308.0
n = 2098
57.77367446794921
den =  843382539232.0
n = 2099
57.956640161417816
den =  844169094804.0
n = 2100
57.76225141105274
den =  844956000000.0
n = 2101
57.86172669768749
den =  845743254796.0
n = 2102
57.92645429262467
den =  846530859168.0
n = 2103
57.60145942477103
den =  847318813092.0
n = 2104
57.64639178278448
den =  848107116544.0
n = 2105
57.64681638002028
den =  848895769500.0
n = 2106
57.315120884575336
den =  849684771936.0
n = 2107
57.67924834326133
den =  850474123828.0
n = 2108
58.03429836625806
den =  851263825152.0
n = 2109
57.99140170241868
den =  852053875884.0
n = 2110
57.724293653082455
den =  852844276000.0
n = 2111
58.153935139855136
den =  853635025476.0
n = 2112
57.947900780267055
den =  854426124288.0
n = 2113
57.432034504738425
den =  855217572412.0
n = 2114
57.69534613527695
den =  856009369824.0
n = 2115
58.02902252679818
den =  856801516500.0
n = 2116
57.609801033156735
den =  857594012416.0
n = 2117
58.14362530727501
den =  858386857548.0
n = 2118
57.85026830053826
den =  859180051872.0
n = 2119
57.47049599870044
den =  859973595364.0
n = 2120
57.34870946316394
den =  860767488000.0
n = 2121
57.68759489250571
den =  861561729756.0
n = 2122
57.848804053343606
den =  862356320608.0
n = 2123
58.0689617416122
den =  863151260532.0
n = 2124
58.101212230845185
den =  863946549504.0
n = 2125
57.47008951732927
den =  864742187500.0
n = 2126
58.01650243424601
den =  865538174496.0
n = 2127
57.81965834613887
den =  866334510468.0
n = 2128
58.04735987617609
den =  867131195392.0
n = 2129
57.930258967100166
den =  867928229244.0
n = 2130
58.07318089937721
den =  868725612000.0
n = 2131
58.17944847282873
den =  869523343636.0
n = 2132
57.419373551617454
den =  870321424128.0
n = 2133
58.28862790833876
den =  871119853452.0
n = 2134
57.54100054418803
den =  871918631584.0
n = 2135
58.05178247521084
den =  872717758500.0
n = 2136
57.42099783842103
den =  873517234176.0
n = 2137
57.69684212295025
den =  874317058588.0
n = 2138
58.13475291095341
den =  875117231712.0
n = 2139
57.45361397104677
den =  875917753524.0
n = 2140
57.86526771856352
den =  876718624000.0
n = 2141
57.37974020061815
den =  877519843116.0
n = 2142
57.62635723653928
den =  878321410848.0
n = 2143
57.5262347413366
den =  879123327172.0
n = 2144
57.80158884087563
den =  879925592064.0
n = 2145
57.818941556349344
den =  880728205500.0
n = 2146
57.61897632885501
den =  881531167456.0
n = 2147
57.628091811492766
den =  882334477908.0
n = 2148
57.4498485465393
den =  883138136832.0
n = 2149
57.53264884099403
den =  883942144204.0
n = 2150
57.76601070934614
den =  884746500000.0
n = 2151
57.670681452503956
den =  885551204196.0
n = 2152
57.48927185385908
den =  886356256768.0
n = 2153
57.61198419549633
den =  887161657692.0
n = 2154
58.017026462472074
den =  887967406944.0
n = 2155
57.96022240906639
den =  888773504500.0
n = 2156
57.69010759747851
den =  889579950336.0
n = 2157
57.64935549613466
den =  890386744428.0
n = 2158
57.84584419757789
den =  891193886752.0
n = 2159
57.5515635736517
den =  892001377284.0
n = 2160
57.826228113344186
den =  892809216000.0
n = 2161
57.54096462260193
den =  893617402876.0
n = 2162
58.01822663172157
den =  894425937888.0
n = 2163
57.68448225190745
den =  895234821012.0
n = 2164
57.834927458481665
den =  896044052224.0
n = 2165
57.73286630274473
den =  896853631500.0
n = 2166
57.430840573776344
den =  897663558816.0
n = 2167
57.59960677041597
den =  898473834148.0
n = 2168
57.811134409437955
den =  899284457472.0
n = 2169
57.83167438654926
den =  900095428764.0
n = 2170
57.396461406675456
den =  900906748000.0
n = 2171
57.58460022376039
den =  901718415156.0
n = 2172
57.60454052446881
den =  902530430208.0
n = 2173
57.89562662856923
den =  903342793132.0
n = 2174
58.104315987349274
den =  904155503904.0
n = 2175
57.08333437105321
den =  904968562500.0
n = 2176
57.45518952904966
den =  905781968896.0
n = 2177
57.77176890817353
den =  906595723068.0
n = 2178
57.62460526644991
den =  907409824992.0
n = 2179
58.27372995871048
den =  908224274644.0
n = 2180
57.779375771944274
den =  909039072000.0
n = 2181
57.731107901979
den =  909854217036.0
n = 2182
57.6955038893237
den =  910669709728.0
n = 2183
57.63526259029913
den =  911485550052.0
n = 2184
57.888996780054924
den =  912301737984.0
n = 2185
57.94643678643379
den =  913118273500.0
n = 2186
57.79400261790524
den =  913935156576.0
n = 2187
57.869599213757205
den =  914752387188.0
n = 2188
57.40963357909774
den =  915569965312.0
n = 2189
57.55629786859017
den =  916387890924.0
n = 2190
57.67070203787481
den =  917206164000.0
n = 2191
57.506382827297145
den =  918024784516.0
n = 2192
57.710654719409945
den =  918843752448.0
n = 2193
57.438462032766225
den =  919663067772.0
n = 2194
57.51072557548279
den =  920482730464.0
n = 2195
57.559198458722015
den =  921302740500.0
n = 2196
57.625638961968654
den =  922123097856.0
n = 2197
57.48971762897954
den =  922943802508.0
n = 2198
57.738196037269454
den =  923764854432.0
n = 2199
57.850705438377396
den =  924586253604.0
n = 2200
58.22701403524104
den =  925408000000.0
n = 2201
57.46161353201493
den =  926230093596.0
n = 2202
57.782829516726714
den =  927052534368.0
n = 2203
57.53640998737684
den =  927875322292.0
n = 2204
58.27667705280888
den =  928698457344.0
n = 2205
57.108980090067135
den =  929521939500.0
n = 2206
57.61592377061045
den =  930345768736.0
n = 2207
57.19875674701449
den =  931169945028.0
n = 2208
57.41126512462911
den =  931994468352.0
n = 2209
58.04690406724555
den =  932819338684.0
n = 2210
57.49893265632569
den =  933644556000.0
n = 2211
57.46712356417328
den =  934470120276.0
n = 2212
57.99911225754376
den =  935296031488.0
n = 2213
57.4757020011964
den =  936122289612.0
n = 2214
57.537334414601034
den =  936948894624.0
n = 2215
57.41293045977938
den =  937775846500.0
n = 2216
57.96372606183771
den =  938603145216.0
n = 2217
57.90330445354165
den =  939430790748.0
n = 2218
57.48565197149879
den =  940258783072.0
n = 2219
57.4748778835606
den =  941087122164.0
n = 2220
57.51721280859848
den =  941915808000.0
n = 2221
57.71297958518661
den =  942744840556.0
n = 2222
57.32373403778215
den =  943574219808.0
n = 2223
57.59690347742524
den =  944403945732.0
n = 2224
57.13651044026097
den =  945234018304.0
n = 2225
58.152464551688304
den =  946064437500.0
n = 2226
57.39507946844929
den =  946895203296.0
n = 2227
57.60067222813228
den =  947726315668.0
n = 2228
57.940965483338566
den =  948557774592.0
n = 2229
57.75085089175953
den =  949389580044.0
n = 2230
57.98352407243158
den =  950221732000.0
n = 2231
57.99193362918409
den =  951054230436.0
n = 2232
57.19144672365376
den =  951887075328.0
n = 2233
57.35454173246084
den =  952720266652.0
n = 2234
57.52573384884638
den =  953553804384.0
n = 2235
57.635352108069654
den =  954387688500.0
n = 2236
57.56901430483445
den =  955221918976.0
n = 2237
57.93022847375693
den =  956056495788.0
n = 2238
57.19055754570951
den =  956891418912.0
n = 2239
57.62173947951196
den =  957726688324.0
n = 2240
57.583038613821365
den =  958562304000.0
n = 2241
57.47507303244209
den =  959398265916.0
n = 2242
57.36159930330857
den =  960234574048.0
n = 2243
57.59153580584248
den =  961071228372.0
n = 2244
57.133566513538725
den =  961908228864.0
n = 2245
57.707276051690506
den =  962745575500.0
n = 2246
57.82362259007431
den =  963583268256.0
n = 2247
57.27046370099612
den =  964421307108.0
n = 2248
56.97522359210949
den =  965259692032.0
n = 2249
57.787354907278726
den =  966098423004.0
n = 2250
57.28137187425532
den =  966937500000.0
n = 2251
57.665356664842434
den =  967776922996.0
n = 2252
57.153632271868666
den =  968616691968.0
n = 2253
57.21102049102082
den =  969456806892.0
n = 2254
57.23024515318829
den =  970297267744.0
n = 2255
57.605881885007655
den =  971138074500.0
n = 2256
57.4979293436403
den =  971979227136.0
n = 2257
57.68640861015747
den =  972820725628.0
n = 2258
57.611038033703714
den =  973662569952.0
n = 2259
57.62773324035614
den =  974504760084.0
n = 2260
57.33307775144772
den =  975347296000.0
n = 2261
57.687370934756885
den =  976190177676.0
n = 2262
57.484011203479064
den =  977033405088.0
n = 2263
57.70628523284323
den =  977876978212.0
n = 2264
57.962736973706185
den =  978720897024.0
n = 2265
57.382779503559775
den =  979565161500.0
n = 2266
57.44295934178165
den =  980409771616.0
n = 2267
57.82684899997098
den =  981254727348.0
n = 2268
57.24962594108154
den =  982100028672.0
n = 2269
57.61294972768827
den =  982945675564.0
n = 2270
57.05091207040355
den =  983791668000.0
n = 2271
57.49006942132702
den =  984638005956.0
n = 2272
57.781739287677695
den =  985484689408.0
n = 2273
58.01290989830576
den =  986331718332.0
n = 2274
58.069749833261305
den =  987179092704.0
n = 2275
57.73580196288235
den =  988026812500.0
n = 2276
57.343506738946296
den =  988874877696.0
n = 2277
57.181972670627914
den =  989723288268.0
n = 2278
57.44182344635397
den =  990572044192.0
n = 2279
57.55156594460102
den =  991421145444.0
n = 2280
57.622487247176515
den =  992270592000.0
n = 2281
57.3549769831138
den =  993120383836.0
n = 2282
57.856261589379365
den =  993970520928.0
n = 2283
57.81566752305838
den =  994821003252.0
n = 2284
57.55142799450874
den =  995671830784.0
n = 2285
57.31364308558468
den =  996523003500.0
n = 2286
57.38952501458497
den =  997374521376.0
n = 2287
58.393111945984145
den =  998226384388.0
n = 2288
57.27769556019688
den =  999078592512.0
n = 2289
57.570509475418625
den =  999931145724.0
n = 2290
57.103396556646906
den =  1000784044000.0
n = 2291
57.572586724974094
den =  1001637287316.0
n = 2292
57.55467752452729
den =  1002490875648.0
n = 2293
57.32683294708634
den =  1003344808972.0
n = 2294
56.96979846650007
den =  1004199087264.0
n = 2295
57.41938196640189
den =  1005053710500.0
n = 2296
57.600787691267485
den =  1005908678656.0
n = 2297
57.42581513677576
den =  1006763991708.0
n = 2298
57.555656016446676
den =  1007619649632.0
n = 2299
57.570691033082
den =  1008475652404.0
n = 2300
57.42648651155884
den =  1009332000000.0
n = 2301
57.83339035001745
den =  1010188692396.0
n = 2302
57.769787985773235
den =  1011045729568.0
n = 2303
57.88144854883217
den =  1011903111492.0
n = 2304
57.854719060456134
den =  1012760838144.0
n = 2305
57.82231740985994
den =  1013618909500.0
n = 2306
57.711236423273355
den =  1014477325536.0
n = 2307
57.735178449843445
den =  1015336086228.0
n = 2308
57.51071493884792
den =  1016195191552.0
n = 2309
57.768268687744644
den =  1017054641484.0
n = 2310
57.56350731997674
den =  1017914436000.0
n = 2311
57.34477930219949
den =  1018774575076.0
n = 2312
57.70798665083099
den =  1019635058688.0
n = 2313
57.693711940344976
den =  1020495886812.0
n = 2314
57.449936832679036
den =  1021357059424.0
n = 2315
57.4391364546877
den =  1022218576500.0
n = 2316
57.700239792847476
den =  1023080438016.0
n = 2317
57.58944701507191
den =  1023942643948.0
n = 2318
57.520048176285655
den =  1024805194272.0
n = 2319
57.337390496580845
den =  1025668088964.0
n = 2320
57.2994327002349
den =  1026531328000.0
n = 2321
57.69643453525908
den =  1027394911356.0
n = 2322
57.52439782286467
den =  1028258839008.0
n = 2323
57.234590188284166
den =  1029123110932.0
n = 2324
57.39551548740561
den =  1029987727104.0
n = 2325
57.231153868273985
den =  1030852687500.0
n = 2326
57.4085501196196
den =  1031717992096.0
n = 2327
57.39212876000862
den =  1032583640868.0
n = 2328
57.35141890909702
den =  1033449633792.0
n = 2329
57.08950601080438
den =  1034315970844.0
n = 2330
57.645898147652964
den =  1035182652000.0
n = 2331
57.87661722924225
den =  1036049677236.0
n = 2332
57.791972917608774
den =  1036917046528.0
n = 2333
57.37537172076977
den =  1037784759852.0
n = 2334
57.46684815788248
den =  1038652817184.0
n = 2335
57.44634943675635
den =  1039521218500.0
n = 2336
57.667033658532105
den =  1040389963776.0
n = 2337
58.03023249585655
den =  1041259052988.0
n = 2338
58.237463313831825
den =  1042128486112.0
n = 2339
57.958971697766614
den =  1042998263124.0
n = 2340
57.649600817033594
den =  1043868384000.0
n = 2341
57.50059935316886
den =  1044738848716.0
n = 2342
57.80748135863742
den =  1045609657248.0
n = 2343
57.25301178833969
den =  1046480809572.0
n = 2344
57.01729096490932
den =  1047352305664.0
n = 2345
57.57987733460439
den =  1048224145500.0
n = 2346
57.26440790988609
den =  1049096329056.0
n = 2347
57.18488247968457
den =  1049968856308.0
n = 2348
58.08320058534505
den =  1050841727232.0
n = 2349
57.48374126184529
den =  1051714941804.0
n = 2350
57.905035897530034
den =  1052588500000.0
n = 2351
57.28864339166566
den =  1053462401796.0
n = 2352
57.29028645229374
den =  1054336647168.0
n = 2353
57.441561195871905
den =  1055211236092.0
n = 2354
57.47387047269562
den =  1056086168544.0
n = 2355
57.79982622897888
den =  1056961444500.0
n = 2356
57.166090727154945
den =  1057837063936.0
n = 2357
57.319980904290254
den =  1058713026828.0
n = 2358
57.46261548024256
den =  1059589333152.0
n = 2359
57.32178244311808
den =  1060465982884.0
n = 2360
57.63616200563048
den =  1061342976000.0
n = 2361
57.52564793305724
den =  1062220312476.0
n = 2362
57.48115537145863
den =  1063097992288.0
n = 2363
57.593746142356
den =  1063976015412.0
n = 2364
57.079395936588334
den =  1064854381824.0
n = 2365
57.37032329971287
den =  1065733091500.0
n = 2366
57.27118152814298
den =  1066612144416.0
n = 2367
57.591962115066345
den =  1067491540548.0
n = 2368
57.742467904420124
den =  1068371279872.0
n = 2369
57.6895631792045
den =  1069251362364.0
n = 2370
57.111469735692104
den =  1070131788000.0
n = 2371
57.13013680490652
den =  1071012556756.0
n = 2372
57.576262326596336
den =  1071893668608.0
n = 2373
57.615164709547315
den =  1072775123532.0
n = 2374
57.81897473509664
den =  1073656921504.0
n = 2375
57.37926470863323
den =  1074539062500.0
n = 2376
57.4383688858367
den =  1075421546496.0
n = 2377
57.57045660889217
den =  1076304373468.0
n = 2378
57.5260812119869
den =  1077187543392.0
n = 2379
57.633860912446806
den =  1078071056244.0
n = 2380
57.54628799971139
den =  1078954912000.0
n = 2381
57.144872276579044
den =  1079839110636.0
n = 2382
57.6370336469906
den =  1080723652128.0
n = 2383
57.52626936730196
den =  1081608536452.0
n = 2384
58.0241893716895
den =  1082493763584.0
n = 2385
57.11522471785669
den =  1083379333500.0
n = 2386
57.21648017044133
den =  1084265246176.0
n = 2387
57.12006459072588
den =  1085151501588.0
n = 2388
57.2087626132335
den =  1086038099712.0
n = 2389
57.364360803595474
den =  1086925040524.0
n = 2390
57.21524255952807
den =  1087812324000.0
n = 2391
57.4021581712534
den =  1088699950116.0
n = 2392
57.22140288760489
den =  1089587918848.0
n = 2393
57.37476516153891
den =  1090476230172.0
n = 2394
57.45541628801793
den =  1091364884064.0
n = 2395
57.35196278057207
den =  1092253880500.0
n = 2396
57.724718603719225
den =  1093143219456.0
n = 2397
57.67051894512344
den =  1094032900908.0
n = 2398
57.56858404419386
den =  1094922924832.0
n = 2399
57.20849057632277
den =  1095813291204.0
n = 2400
57.11256592601664
den =  1096704000000.0
n = 2401
56.974162163045285
den =  1097595051196.0
n = 2402
57.33224561376941
den =  1098486444768.0
n = 2403
57.27963432775057
den =  1099378180692.0
n = 2404
57.52366449431029
den =  1100270258944.0
n = 2405
57.467628856623946
den =  1101162679500.0
n = 2406
57.31744377437792
den =  1102055442336.0
n = 2407
57.39489936315916
den =  1102948547428.0
n = 2408
57.43199012919
den =  1103841994752.0
n = 2409
56.934953911916246
den =  1104735784284.0
n = 2410
57.7258097730019
den =  1105629916000.0
n = 2411
57.46893079459684
den =  1106524389876.0
n = 2412
57.06329028726503
den =  1107419205888.0
n = 2413
57.99810787894388
den =  1108314364012.0
n = 2414
57.203511375691356
den =  1109209864224.0
n = 2415
57.127931207102186
den =  1110105706500.0
n = 2416
57.61509435429543
den =  1111001890816.0
n = 2417
57.44418392255242
den =  1111898417148.0
n = 2418
57.43383761908879
den =  1112795285472.0
n = 2419
57.77966199966074
den =  1113692495764.0
n = 2420
57.02485951805178
den =  1114590048000.0
n = 2421
56.514228495647835
den =  1115487942156.0
n = 2422
57.148588638095106
den =  1116386178208.0
n = 2423
57.55404383822919
den =  1117284756132.0
n = 2424
56.86865678043982
den =  1118183675904.0
n = 2425
57.611588546055025
den =  1119082937500.0
n = 2426
57.317386333353696
den =  1119982540896.0
n = 2427
56.904674571052496
den =  1120882486068.0
n = 2428
57.471612672252014
den =  1121782772992.0
n = 2429
57.23840907961575
den =  1122683401644.0
n = 2430
57.21379197173537
den =  1123584372000.0
n = 2431
57.804863658117
den =  1124485684036.0
n = 2432
57.5318679449974
den =  1125387337728.0
n = 2433
57.69122138077021
den =  1126289333052.0
n = 2434
57.38880689918179
den =  1127191669984.0
n = 2435
57.51766469211765
den =  1128094348500.0
n = 2436
57.341709587160764
den =  1128997368576.0
n = 2437
57.22584044158731
den =  1129900730188.0
n = 2438
57.2985668089264
den =  1130804433312.0
n = 2439
57.96381811471676
den =  1131708477924.0
n = 2440
57.66737257973245
den =  1132612864000.0
n = 2441
57.412871508420395
den =  1133517591516.0
n = 2442
57.236466418928615
den =  1134422660448.0
n = 2443
57.26328061866574
den =  1135328070772.0
n = 2444
57.83740156622348
den =  1136233822464.0
n = 2445
57.079205462175345
den =  1137139915500.0
n = 2446
57.154249906149616
den =  1138046349856.0
n = 2447
57.45680291931263
den =  1138953125508.0
n = 2448
57.55510326094195
den =  1139860242432.0
n = 2449
57.22728946878586
den =  1140767700604.0
n = 2450
57.11051398865416
den =  1141675500000.0
n = 2451
57.3181590807342
den =  1142583640596.0
n = 2452
57.17645511896443
den =  1143492122368.0
n = 2453
57.269286573730184
den =  1144400945292.0
n = 2454
57.09981874582092
den =  1145310109344.0
n = 2455
56.86839112828149
den =  1146219614500.0
n = 2456
57.61989631764682
den =  1147129460736.0
n = 2457
57.47847754883481
den =  1148039648028.0
n = 2458
57.05492834511025
den =  1148950176352.0
n = 2459
57.77622591030118
den =  1149861045684.0
n = 2460
57.41841627265038
den =  1150772256000.0
n = 2461
57.57487508938772
den =  1151683807276.0
n = 2462
57.43643004400198
den =  1152595699488.0
n = 2463
57.400551288147334
den =  1153507932612.0
n = 2464
57.30778607864104
den =  1154420506624.0
n = 2465
57.222276400423716
den =  1155333421500.0
n = 2466
57.62664648656504
den =  1156246677216.0
n = 2467
57.28101605552368
den =  1157160273748.0
n = 2468
57.294740405803516
den =  1158074211072.0
n = 2469
57.25850279663948
den =  1158988489164.0
n = 2470
57.01608359503986
den =  1159903108000.0
n = 2471
57.1031937889763
den =  1160818067556.0
n = 2472
56.794305356858196
den =  1161733367808.0
n = 2473
57.09998589586001
den =  1162649008732.0
n = 2474
57.3896321202717
den =  1163564990304.0
n = 2475
57.68850487021696
den =  1164481312500.0
n = 2476
57.396538312981654
den =  1165397975296.0
n = 2477
57.3842526493517
den =  1166314978668.0
n = 2478
56.8276833105957
den =  1167232322592.0
n = 2479
57.25471021046798
den =  1168150007044.0
n = 2480
57.621478649775625
den =  1169068032000.0
n = 2481
57.048501948087655
den =  1169986397436.0
n = 2482
57.224959178727154
den =  1170905103328.0
n = 2483
57.03515491814162
den =  1171824149652.0
n = 2484
57.243522000883665
den =  1172743536384.0
n = 2485
57.08778031789802
den =  1173663263500.0
n = 2486
57.322329592232755
den =  1174583330976.0
n = 2487
57.579155028630915
den =  1175503738788.0
n = 2488
57.76168174918081
den =  1176424486912.0
n = 2489
57.58971432570992
den =  1177345575324.0
n = 2490
57.16544955300078
den =  1178267004000.0
n = 2491
57.80375961953396
den =  1179188772916.0
n = 2492
57.51154011654207
den =  1180110882048.0
n = 2493
57.14041808002278
den =  1181033331372.0
n = 2494
57.301515226667846
den =  1181956120864.0
n = 2495
57.376073785351046
den =  1182879250500.0
n = 2496
57.11950156971166
den =  1183802720256.0
n = 2497
57.39560331201351
den =  1184726530108.0
n = 2498
57.4721917171919
den =  1185650680032.0
n = 2499
57.32327330312326
den =  1186575170004.0
n = 2500
57.36904046127418
den =  1187500000000.0
n = 2501
57.21387516752155
den =  1188425169996.0
n = 2502
57.459360930883896
den =  1189350679968.0
n = 2503
57.144852499354315
den =  1190276529892.0
n = 2504
57.53813024770422
den =  1191202719744.0
n = 2505
56.8032957565721
den =  1192129249500.0
n = 2506
57.34866676093971
den =  1193056119136.0
n = 2507
56.89455823405476
den =  1193983328628.0
n = 2508
57.37471485441876
den =  1194910877952.0
n = 2509
56.71724034105713
den =  1195838767084.0
n = 2510
57.14358774223906
den =  1196766996000.0
n = 2511
57.63513474304419
den =  1197695564676.0
n = 2512
57.39106521926618
den =  1198624473088.0
n = 2513
57.292995283996945
den =  1199553721212.0
n = 2514
57.026491593164764
den =  1200483309024.0
n = 2515
57.347741984858054
den =  1201413236500.0
n = 2516
57.352292770530504
den =  1202343503616.0
n = 2517
57.02851124175367
den =  1203274110348.0
n = 2518
56.983605612392914
den =  1204205056672.0
n = 2519
57.39590726918627
den =  1205136342564.0
n = 2520
57.55432163177141
den =  1206067968000.0
n = 2521
56.73227158147607
den =  1206999932956.0
n = 2522
57.304982481273804
den =  1207932237408.0
n = 2523
57.24131575086489
den =  1208864881332.0
n = 2524
57.243813225516064
den =  1209797864704.0
n = 2525
57.43822242476698
den =  1210731187500.0
n = 2526
56.93253768131155
den =  1211664849696.0
n = 2527
56.94492910611802
den =  1212598851268.0
n = 2528
57.68641627227917
den =  1213533192192.0
n = 2529
57.45543359111286
den =  1214467872444.0
n = 2530
56.69472039915957
den =  1215402892000.0
n = 2531
57.476683212148984
den =  1216338250836.0
n = 2532
57.34604086146799
den =  1217273948928.0
n = 2533
56.891602954354745
den =  1218209986252.0
n = 2534
57.043800763332605
den =  1219146362784.0
n = 2535
57.541144870654456
den =  1220083078500.0
n = 2536
57.57065472671192
den =  1221020133376.0
n = 2537
57.37739755163069
den =  1221957527388.0
n = 2538
56.83533573519197
den =  1222895260512.0
n = 2539
57.27228292250783
den =  1223833332724.0
n = 2540
57.09662975809709
den =  1224771744000.0
n = 2541
56.6577270950364
den =  1225710494316.0
n = 2542
57.147963832365754
den =  1226649583648.0
n = 2543
57.11160635172047
den =  1227589011972.0
n = 2544
57.19937506992757
den =  1228528779264.0
n = 2545
57.107308395894655
den =  1229468885500.0
n = 2546
57.20876517779899
den =  1230409330656.0
n = 2547
57.56967703300459
den =  1231350114708.0
n = 2548
57.29140062416942
den =  1232291237632.0
n = 2549
57.5281534961946
den =  1233232699404.0
n = 2550
57.34827086045712
den =  1234174500000.0
n = 2551
57.08438888318601
den =  1235116639396.0
n = 2552
57.18709680558684
den =  1236059117568.0
n = 2553
58.01329811098437
den =  1237001934492.0
n = 2554
56.90449585928507
den =  1237945090144.0
n = 2555
57.305834609699644
den =  1238888584500.0
n = 2556
57.35766177010852
den =  1239832417536.0
n = 2557
57.36285448511273
den =  1240776589228.0
n = 2558
57.28502299817219
den =  1241721099552.0
n = 2559
57.34294812957742
den =  1242665948484.0
n = 2560
57.16476026509274
den =  1243611136000.0
n = 2561
57.09559573273949
den =  1244556662076.0
n = 2562
57.19707797985787
den =  1245502526688.0
n = 2563
57.47577123166704
den =  1246448729812.0
n = 2564
57.027002172636635
den =  1247395271424.0
n = 2565
56.90243407577158
den =  1248342151500.0
n = 2566
57.00504343062049
den =  1249289370016.0
n = 2567
57.07568706517805
den =  1250236926948.0
n = 2568
57.486832135424855
den =  1251184822272.0
n = 2569
57.39563342403732
den =  1252133055964.0
n = 2570
57.31429974594358
den =  1253081628000.0
n = 2571
57.205694541598206
den =  1254030538356.0
n = 2572
57.32597894907273
den =  1254979787008.0
n = 2573
57.17373728363608
den =  1255929373932.0
n = 2574
57.00496526835674
den =  1256879299104.0
n = 2575
56.935818071678156
den =  1257829562500.0
n = 2576
57.27265842579755
den =  1258780164096.0
n = 2577
57.216985100658114
den =  1259731103868.0
n = 2578
57.55671990612522
den =  1260682381792.0
n = 2579
57.14107162395
den =  1261633997844.0
n = 2580
57.11780176384365
den =  1262585952000.0
n = 2581
57.25262924190584
den =  1263538244236.0
n = 2582
57.450133294819665
den =  1264490874528.0
n = 2583
57.388647548690344
den =  1265443842852.0
n = 2584
57.35154111130678
den =  1266397149184.0
n = 2585
57.386394280220145
den =  1267350793500.0
n = 2586
56.95145227852381
den =  1268304775776.0
n = 2587
56.87947523723961
den =  1269259095988.0
n = 2588
57.154815512409726
den =  1270213754112.0
n = 2589
57.10025578614004
den =  1271168750124.0
n = 2590
57.03592903461561
den =  1272124084000.0
n = 2591
57.14302426870155
den =  1273079755716.0
n = 2592
57.203155003042184
den =  1274035765248.0
n = 2593
57.104164374015745
den =  1274992112572.0
n = 2594
57.32411998709798
den =  1275948797664.0
n = 2595
56.910153751134295
den =  1276905820500.0
n = 2596
57.119486839495124
den =  1277863181056.0
n = 2597
57.32016265606315
den =  1278820879308.0
n = 2598
57.376002061608126
den =  1279778915232.0
n = 2599
57.0654257993677
den =  1280737288804.0
n = 2600
57.02534175146114
den =  1281696000000.0
n = 2601
56.96704272233559
den =  1282655048796.0
n = 2602
57.0414905568874
den =  1283614435168.0
n = 2603
57.016737466834215
den =  1284574159092.0
n = 2604
57.13943296646954
den =  1285534220544.0
n = 2605
57.416777532473844
den =  1286494619500.0
n = 2606
57.344156109505576
den =  1287455355936.0
n = 2607
57.530863057819204
den =  1288416429828.0
n = 2608
56.77249584379426
den =  1289377841152.0
n = 2609
57.29274346896098
den =  1290339589884.0
n = 2610
57.03969656793044
den =  1291301676000.0
n = 2611
56.97932559184974
den =  1292264099476.0
n = 2612
57.045421843783245
den =  1293226860288.0
n = 2613
57.171693290486
den =  1294189958412.0
n = 2614
57.02412081601594
den =  1295153393824.0
n = 2615
56.83553763536434
den =  1296117166500.0
n = 2616
57.47951083536191
den =  1297081276416.0
n = 2617
57.27344622001022
den =  1298045723548.0
n = 2618
57.00207213730037
den =  1299010507872.0
n = 2619
56.84554450081301
den =  1299975629364.0
n = 2620
56.91300294189433
den =  1300941088000.0
n = 2621
57.37902127301631
den =  1301906883756.0
n = 2622
57.14907342537831
den =  1302873016608.0
n = 2623
56.72721083808578
den =  1303839486532.0
n = 2624
57.067889827924894
den =  1304806293504.0
n = 2625
57.43560036091365
den =  1305773437500.0
n = 2626
56.72124572638332
den =  1306740918496.0
n = 2627
56.88635032316394
den =  1307708736468.0
n = 2628
56.61507895902419
den =  1308676891392.0
n = 2629
57.443910971212496
den =  1309645383244.0
n = 2630
57.38645085575423
den =  1310614212000.0
n = 2631
57.036869907804515
den =  1311583377636.0
n = 2632
57.47001070352027
den =  1312552880128.0
n = 2633
56.92502662056595
den =  1313522719452.0
n = 2634
56.82459924625888
den =  1314492895584.0
n = 2635
56.63216151714574
den =  1315463408500.0
n = 2636
57.02694971015623
den =  1316434258176.0
n = 2637
57.06404398043225
den =  1317405444588.0
n = 2638
57.22509537649939
den =  1318376967712.0
n = 2639
57.27044702085703
den =  1319348827524.0
n = 2640
56.97315299633817
den =  1320321024000.0
n = 2641
57.50447376991992
den =  1321293557116.0
n = 2642
57.21387031575245
den =  1322266426848.0
n = 2643
56.57736222932407
den =  1323239633172.0
n = 2644
57.36359939671029
den =  1324213176064.0
n = 2645
57.0597029819934
den =  1325187055500.0
n = 2646
57.06833742494004
den =  1326161271456.0
n = 2647
57.052487940462505
den =  1327135823908.0
n = 2648
57.62007253397475
den =  1328110712832.0
n = 2649
57.09666736525753
den =  1329085938204.0
n = 2650
56.93322253450636
den =  1330061500000.0
n = 2651
57.05846755868622
den =  1331037398196.0
n = 2652
56.864123674991234
den =  1332013632768.0
n = 2653
57.71887660222364
den =  1332990203692.0
n = 2654
57.60279705018354
den =  1333967110944.0
n = 2655
57.09939125986988
den =  1334944354500.0
n = 2656
57.166196457965185
den =  1335921934336.0
n = 2657
57.37273702524251
den =  1336899850428.0
n = 2658
56.826584042827484
den =  1337878102752.0
n = 2659
57.078779588999495
den =  1338856691284.0
n = 2660
57.16736184501867
den =  1339835616000.0
n = 2661
57.390528028335254
den =  1340814876876.0
n = 2662
56.94393327721756
den =  1341794473888.0
n = 2663
56.80241398939519
den =  1342774407012.0
n = 2664
57.15719785280524
den =  1343754676224.0
n = 2665
57.44074601255971
den =  1344735281500.0
n = 2666
57.379491156970396
den =  1345716222816.0
n = 2667
57.00912835899783
den =  1346697500148.0
n = 2668
57.061584823040675
den =  1347679113472.0
n = 2669
57.03092300789647
den =  1348661062764.0
n = 2670
57.068464477409364
den =  1349643348000.0
n = 2671
57.38294565162877
den =  1350625969156.0
n = 2672
57.35344354080639
den =  1351608926208.0
n = 2673
56.97688150877496
den =  1352592219132.0
n = 2674
56.95376254924805
den =  1353575847904.0
n = 2675
57.022236109601984
den =  1354559812500.0
n = 2676
56.57321053860775
den =  1355544112896.0
n = 2677
57.10976387619962
den =  1356528749068.0
n = 2678
56.845316749314975
den =  1357513720992.0
n = 2679
57.53015415842471
den =  1358499028644.0
n = 2680
57.681999735327956
den =  1359484672000.0
n = 2681
57.0785378648028
den =  1360470651036.0
n = 2682
57.077377553217644
den =  1361456965728.0
n = 2683
56.70997536310192
den =  1362443616052.0
n = 2684
56.89423493900313
den =  1363430601984.0
n = 2685
57.05597152090087
den =  1364417923500.0
n = 2686
57.005019944278445
den =  1365405580576.0
n = 2687
57.06634447982916
den =  1366393573188.0
n = 2688
56.94470538504977
den =  1367381901312.0
n = 2689
56.74421391617639
den =  1368370564924.0
n = 2690
56.75120353241093
den =  1369359564000.0
n = 2691
56.87104223139246
den =  1370348898516.0
n = 2692
56.997963961219305
den =  1371338568448.0
n = 2693
56.99420927504499
den =  1372328573772.0
n = 2694
57.19235291181983
den =  1373318914464.0
n = 2695
57.035267422222596
den =  1374309590500.0
n = 2696
57.528328505309034
den =  1375300601856.0
n = 2697
57.0483631695465
den =  1376291948508.0
n = 2698
57.02474430187898
den =  1377283630432.0
n = 2699
56.55934117006718
den =  1378275647604.0
n = 2700
57.06273795475201
den =  1379268000000.0
n = 2701
56.996650118504405
den =  1380260687596.0
n = 2702
56.98852593271299
den =  1381253710368.0
n = 2703
56.895188088565114
den =  1382247068292.0
n = 2704
56.87738452885399
den =  1383240761344.0
n = 2705
56.6745380609908
den =  1384234789500.0
n = 2706
56.91433368799357
den =  1385229152736.0
n = 2707
56.9278447245864
den =  1386223851028.0
n = 2708
56.72835676393076
den =  1387218884352.0
n = 2709
57.11591327313169
den =  1388214252684.0
n = 2710
56.82735310092814
den =  1389209956000.0
n = 2711
56.80583854708619
den =  1390205994276.0
n = 2712
57.02158368725738
den =  1391202367488.0
n = 2713
57.1222233547788
den =  1392199075612.0
n = 2714
57.238721594802804
den =  1393196118624.0
n = 2715
56.517870357373354
den =  1394193496500.0
n = 2716
57.051803688517275
den =  1395191209216.0
n = 2717
56.84238635353754
den =  1396189256748.0
n = 2718
57.0976018101128
den =  1397187639072.0
n = 2719
57.14804256766559
den =  1398186356164.0
n = 2720
56.76645816231276
den =  1399185408000.0
n = 2721
56.821365703044215
den =  1400184794556.0
n = 2722
56.62389659490364
den =  1401184515808.0
n = 2723
56.80479931220541
den =  1402184571732.0
n = 2724
56.327389801251606
den =  1403184962304.0
n = 2725
57.17151445536323
den =  1404185687500.0
n = 2726
57.211795521040735
den =  1405186747296.0
n = 2727
57.120762627382504
den =  1406188141668.0
n = 2728
57.095674823534175
den =  1407189870592.0
n = 2729
56.83115580700323
den =  1408191934044.0
n = 2730
56.48524012217071
den =  1409194332000.0
n = 2731
57.151742197201415
den =  1410197064436.0
n = 2732
57.067537412142855
den =  1411200131328.0
n = 2733
57.25793423661941
den =  1412203532652.0
n = 2734
57.458310147605864
den =  1413207268384.0
n = 2735
56.87475230933505
den =  1414211338500.0
n = 2736
56.9110003174287
den =  1415215742976.0
n = 2737
56.875400516655084
den =  1416220481788.0
n = 2738
56.985468195329815
den =  1417225554912.0
n = 2739
56.99077410187972
den =  1418230962324.0
n = 2740
56.92700995814402
den =  1419236704000.0
n = 2741
57.23937911111222
den =  1420242779916.0
n = 2742
57.09002828660814
den =  1421249190048.0
n = 2743
57.16959164369625
den =  1422255934372.0
n = 2744
57.296120515565924
den =  1423263012864.0
n = 2745
56.78129564206103
den =  1424270425500.0
n = 2746
56.68806905892389
den =  1425278172256.0
n = 2747
56.72965098823817
den =  1426286253108.0
n = 2748
57.241266774197584
den =  1427294668032.0
n = 2749
56.90565488758056
den =  1428303417004.0
n = 2750
56.75317626553095
den =  1429312500000.0
n = 2751
56.88951130835326
den =  1430321916996.0
n = 2752
56.92058934324165
den =  1431331667968.0
n = 2753
57.21883022879419
den =  1432341752892.0
n = 2754
56.72251706985749
den =  1433352171744.0
n = 2755
56.73408762628269
den =  1434362924500.0
n = 2756
57.098259782989196
den =  1435374011136.0
n = 2757
56.360387958585264
den =  1436385431628.0
n = 2758
56.75997116857878
den =  1437397185952.0
n = 2759
56.57805032006475
den =  1438409274084.0
n = 2760
56.796627440152214
den =  1439421696000.0
n = 2761
57.23081055610801
den =  1440434451676.0
n = 2762
56.87041935778239
den =  1441447541088.0
n = 2763
57.40176214968454
den =  1442460964212.0
n = 2764
57.32498576012015
den =  1443474721024.0
n = 2765
56.90061714302089
den =  1444488811500.0
n = 2766
57.351837898255724
den =  1445503235616.0
n = 2767
56.517960149205685
den =  1446517993348.0
n = 2768
57.05176798533462
den =  1447533084672.0
n = 2769
56.844426442115356
den =  1448548509564.0
n = 2770
56.60390392768355
den =  1449564268000.0
n = 2771
56.834632950584876
den =  1450580359956.0
n = 2772
56.92246034830381
den =  1451596785408.0
n = 2773
56.73033202013021
den =  1452613544332.0
n = 2774
56.76814181866925
den =  1453630636704.0
n = 2775
56.90620741925405
den =  1454648062500.0
n = 2776
56.91549067251379
den =  1455665821696.0
n = 2777
56.72542679149892
den =  1456683914268.0
n = 2778
57.02624209548439
den =  1457702340192.0
n = 2779
57.162052176485275
den =  1458721099444.0
n = 2780
56.831510587996455
den =  1459740192000.0
n = 2781
57.057206315004606
den =  1460759617836.0
n = 2782
56.95401017122639
den =  1461779376928.0
n = 2783
56.94542268512325
den =  1462799469252.0
n = 2784
57.34375906009978
den =  1463819894784.0
n = 2785
57.13541570079795
den =  1464840653500.0
n = 2786
57.29908700265135
den =  1465861745376.0
n = 2787
56.93525376689191
den =  1466883170388.0
n = 2788
56.4719136345307
den =  1467904928512.0
n = 2789
57.719167511626075
den =  1468927019724.0
n = 2790
57.01730473441562
den =  1469949444000.0
n = 2791
57.16920614263637
den =  1470972201316.0
n = 2792
57.18519990326397
den =  1471995291648.0
n = 2793
56.5182477853667
den =  1473018714972.0
n = 2794
56.7915029693598
den =  1474042471264.0
n = 2795
56.65582676574628
den =  1475066560500.0
n = 2796
56.77444823878776
den =  1476090982656.0
n = 2797
56.925006157893954
den =  1477115737708.0
n = 2798
56.979772592006086
den =  1478140825632.0
n = 2799
56.67579524092255
den =  1479166246404.0
n = 2800
57.13261256667553
den =  1480192000000.0
n = 2801
56.59194982370179
den =  1481218086396.0
n = 2802
56.56994661060902
den =  1482244505568.0
n = 2803
57.1444682403051
den =  1483271257492.0
n = 2804
57.24699610416393
den =  1484298342144.0
n = 2805
57.013912333056716
den =  1485325759500.0
n = 2806
56.672525465454825
den =  1486353509536.0
n = 2807
56.6213135931887
den =  1487381592228.0
n = 2808
56.90111819322737
den =  1488410007552.0
n = 2809
57.079510912542425
den =  1489438755484.0
n = 2810
57.00321815745505
den =  1490467836000.0
n = 2811
57.270390054608356
den =  1491497249076.0
n = 2812
56.25452243211121
den =  1492526994688.0
n = 2813
56.94444518897864
den =  1493557072812.0
n = 2814
56.69652260078939
den =  1494587483424.0
n = 2815
57.26681163494839
den =  1495618226500.0
n = 2816
57.05843367371835
den =  1496649302016.0
n = 2817
57.18579150025553
den =  1497680709948.0
n = 2818
56.56538652643128
den =  1498712450272.0
n = 2819
56.71181450287339
den =  1499744522964.0
n = 2820
56.34609235193646
den =  1500776928000.0
n = 2821
57.36347050742868
den =  1501809665356.0
n = 2822
57.3161244241332
den =  1502842735008.0
n = 2823
56.89794726220551
den =  1503876136932.0
n = 2824
57.29627664243215
den =  1504909871104.0
n = 2825
56.29122325588363
den =  1505943937500.0
n = 2826
56.598468082091344
den =  1506978336096.0
n = 2827
57.09297662827609
den =  1508013066868.0
n = 2828
57.00243728003612
den =  1509048129792.0
n = 2829
56.69563580979387
den =  1510083524844.0
n = 2830
57.15937229592163
den =  1511119252000.0
n = 2831
57.094029307679605
den =  1512155311236.0
n = 2832
56.88613804753162
den =  1513191702528.0
n = 2833
57.329847844885464
den =  1514228425852.0
n = 2834
56.914119923709244
den =  1515265481184.0
n = 2835
56.94668235555033
den =  1516302868500.0
n = 2836
56.91843056625415
den =  1517340587776.0
n = 2837
56.586493790208394
den =  1518378638988.0
n = 2838
57.22354634883854
den =  1519417022112.0
n = 2839
56.89712855860922
den =  1520455737124.0
n = 2840
56.88144712695927
den =  1521494784000.0
n = 2841
56.841765623975284
den =  1522534162716.0
n = 2842
56.86173831032514
den =  1523573873248.0
n = 2843
56.81447933081935
den =  1524613915572.0
n = 2844
56.747957505166845
den =  1525654289664.0
n = 2845
56.70483273724332
den =  1526694995500.0
n = 2846
56.91825111543324
den =  1527736033056.0
n = 2847
56.399375185356284
den =  1528777402308.0
n = 2848
57.01644491787883
den =  1529819103232.0
n = 2849
56.48649995073189
den =  1530861135804.0
n = 2850
57.34181944267952
den =  1531903500000.0
n = 2851
56.54096239497735
den =  1532946195796.0
n = 2852
57.12874344644855
den =  1533989223168.0
n = 2853
56.941383566895354
den =  1535032582092.0
n = 2854
56.43719147118447
den =  1536076272544.0
n = 2855
56.85424215787323
den =  1537120294500.0
n = 2856
56.74345313716794
den =  1538164647936.0
n = 2857
57.239907934873166
den =  1539209332828.0
n = 2858
57.41995649885179
den =  1540254349152.0
n = 2859
56.86400025335663
den =  1541299696884.0
n = 2860
56.65761065861855
den =  1542345376000.0
n = 2861
56.487903196617424
den =  1543391386476.0
n = 2862
56.9219050648231
den =  1544437728288.0
n = 2863
56.44004859684154
den =  1545484401412.0
n = 2864
56.7553068990037
den =  1546531405824.0
n = 2865
56.96078259717373
den =  1547578741500.0
n = 2866
57.20419613121718
den =  1548626408416.0
n = 2867
56.54816570908584
den =  1549674406548.0
n = 2868
57.30067050306166
den =  1550722735872.0
n = 2869
56.95931750670519
den =  1551771396364.0
n = 2870
56.77519013764365
den =  1552820388000.0
n = 2871
57.10410404062995
den =  1553869710756.0
n = 2872
57.44208146450174
den =  1554919364608.0
n = 2873
56.62415328883823
den =  1555969349532.0
n = 2874
56.605565698132345
den =  1557019665504.0
n = 2875
57.20460944581544
den =  1558070312500.0
n = 2876
57.004478088094274
den =  1559121290496.0
n = 2877
56.998517271313645
den =  1560172599468.0
n = 2878
56.52865043194414
den =  1561224239392.0
n = 2879
57.08112871807929
den =  1562276210244.0
n = 2880
56.8358906394587
den =  1563328512000.0
n = 2881
57.08844024543678
den =  1564381144636.0
n = 2882
57.31952785058853
den =  1565434108128.0
n = 2883
56.78093553537049
den =  1566487402452.0
n = 2884
57.04555503164617
den =  1567541027584.0
n = 2885
56.92180271462674
den =  1568594983500.0
n = 2886
56.94551723332727
den =  1569649270176.0
n = 2887
56.7796120781588
den =  1570703887588.0
n = 2888
56.89975066021129
den =  1571758835712.0
n = 2889
56.965485533408
den =  1572814114524.0
n = 2890
56.67789157679503
den =  1573869724000.0
n = 2891
56.882245405875985
den =  1574925664116.0
n = 2892
56.97435926163484
den =  1575981934848.0
n = 2893
56.560183692060995
den =  1577038536172.0
n = 2894
56.6871847213579
den =  1578095468064.0
n = 2895
56.51716408022084
den =  1579152730500.0
n = 2896
56.91612984753456
den =  1580210323456.0
n = 2897
56.7768447348763
den =  1581268246908.0
n = 2898
56.77405980405086
den =  1582326500832.0
n = 2899
56.57572871345483
den =  1583385085204.0
n = 2900
56.73198167508166
den =  1584444000000.0
n = 2901
56.5715007416017
den =  1585503245196.0
n = 2902
56.77709966005485
den =  1586562820768.0
n = 2903
56.37931854970689
den =  1587622726692.0
n = 2904
57.06637682300673
den =  1588682962944.0
n = 2905
56.672598984163734
den =  1589743529500.0
n = 2906
57.121247422313246
den =  1590804426336.0
n = 2907
56.82265605297686
den =  1591865653428.0
n = 2908
56.42123240515157
den =  1592927210752.0
n = 2909
57.08539621823017
den =  1593989098284.0
n = 2910
56.89516308832239
den =  1595051316000.0
n = 2911
57.24259272791292
den =  1596113863876.0
n = 2912
56.15686783410762
den =  1597176741888.0
n = 2913
56.92655151401715
den =  1598239950012.0
n = 2914
57.197439723909014
den =  1599303488224.0
n = 2915
56.57818473212542
den =  1600367356500.0
n = 2916
57.057900161891105
den =  1601431554816.0
n = 2917
56.94315205647234
den =  1602496083148.0
n = 2918
56.862718152771286
den =  1603560941472.0
n = 2919
56.80443775556151
den =  1604626129764.0
n = 2920
56.95813375884846
den =  1605691648000.0
n = 2921
56.827525479500665
den =  1606757496156.0
n = 2922
56.97192516400053
den =  1607823674208.0
n = 2923
56.945246386856645
den =  1608890182132.0
n = 2924
56.65738523231837
den =  1609957019904.0
n = 2925
56.269846687798186
den =  1611024187500.0
n = 2926
57.03143810001829
den =  1612091684896.0
n = 2927
57.01556027698704
den =  1613159512068.0
n = 2928
57.19612447322767
den =  1614227668992.0
n = 2929
57.26957146478239
den =  1615296155644.0
n = 2930
56.46564326107676
den =  1616364972000.0
n = 2931
56.309031358961164
den =  1617434118036.0
n = 2932
56.51812311316304
den =  1618503593728.0
n = 2933
56.6887749936811
den =  1619573399052.0
n = 2934
56.562798009947876
den =  1620643533984.0
n = 2935
57.01106120919942
den =  1621713998500.0
n = 2936
56.75825894353112
den =  1622784792576.0
n = 2937
56.750798936793345
den =  1623855916188.0
n = 2938
56.69859091486759
den =  1624927369312.0
n = 2939
56.73025374978489
den =  1625999151924.0
n = 2940
56.585584359394915
den =  1627071264000.0
n = 2941
56.753410515852764
den =  1628143705516.0
n = 2942
56.70405010110635
den =  1629216476448.0
n = 2943
56.70925894763305
den =  1630289576772.0
n = 2944
56.87749333044669
den =  1631363006464.0
n = 2945
56.93457301914568
den =  1632436765500.0
n = 2946
57.1396353390774
den =  1633510853856.0
n = 2947
56.569660541567835
den =  1634585271508.0
n = 2948
56.44938275001807
den =  1635660018432.0
n = 2949
56.78296393269554
den =  1636735094604.0
n = 2950
56.954646288730004
den =  1637810500000.0
n = 2951
56.63366469632294
den =  1638886234596.0
n = 2952
56.636919724632584
den =  1639962298368.0
n = 2953
56.99545674857258
den =  1641038691292.0
n = 2954
56.63884756303022
den =  1642115413344.0
n = 2955
56.597986066481326
den =  1643192464500.0
n = 2956
56.562685371577125
den =  1644269844736.0
n = 2957
56.75138822444266
den =  1645347554028.0
n = 2958
56.28424808662111
den =  1646425592352.0
n = 2959
57.111108411785885
den =  1647503959684.0
n = 2960
56.712442155723565
den =  1648582656000.0
n = 2961
56.5517892855629
den =  1649661681276.0
n = 2962
56.563326243568326
den =  1650741035488.0
n = 2963
56.59679102319003
den =  1651820718612.0
n = 2964
57.05229931141766
den =  1652900730624.0
n = 2965
56.898334098188414
den =  1653981071500.0
n = 2966
56.67708052613828
den =  1655061741216.0
n = 2967
56.96188319707017
den =  1656142739748.0
n = 2968
56.280479724702076
den =  1657224067072.0
n = 2969
56.47954151009143
den =  1658305723164.0
n = 2970
56.70213213855267
den =  1659387708000.0
n = 2971
56.71439166429959
den =  1660470021556.0
n = 2972
56.677625572949765
den =  1661552663808.0
n = 2973
57.20169995172594
den =  1662635634732.0
n = 2974
56.78895085191197
den =  1663718934304.0
n = 2975
56.43303923035
den =  1664802562500.0
n = 2976
56.52097478292122
den =  1665886519296.0
n = 2977
56.34553513975134
den =  1666970804668.0
n = 2978
56.863808073907386
den =  1668055418592.0
n = 2979
56.194579193072975
den =  1669140361044.0
n = 2980
56.81296318240396
den =  1670225632000.0
n = 2981
56.65173164621689
den =  1671311231436.0
n = 2982
56.44394781172365
den =  1672397159328.0
n = 2983
56.44046715727695
den =  1673483415652.0
n = 2984
56.39669229882319
den =  1674570000384.0
n = 2985
56.829340306792794
den =  1675656913500.0
n = 2986
57.13630423544021
den =  1676744154976.0
n = 2987
56.720253056246754
den =  1677831724788.0
n = 2988
56.540022973949334
den =  1678919622912.0
n = 2989
57.28313824637713
den =  1680007849324.0
n = 2990
56.594347153247476
den =  1681096404000.0
n = 2991
56.90512090238976
den =  1682185286916.0
n = 2992
56.67091223668299
den =  1683274498048.0
n = 2993
56.89070241854748
den =  1684364037372.0
n = 2994
56.941836398136644
den =  1685453904864.0
n = 2995
56.532886396370586
den =  1686544100500.0
n = 2996
56.464030230131264
den =  1687634624256.0
n = 2997
56.59111940033318
den =  1688725476108.0
n = 2998
56.89263832574052
den =  1689816656032.0
n = 2999
56.755636743522835
den =  1690908164004.0
n = 3000
56.768464927025896
den =  1692000000000.0