BEAVRS/docs/specifications/expdata/figs/gain_all.plot
2018-08-29 08:31:36 -07:00

4112 lines
84 KiB
Gnuplot

#!/usr/bin/env gnuplot
set terminal pdf enhanced
set output 'c1c1f01/gain_all.pdf'
set xlabel 'Measurement Location (top to bottom) [-]'
set ylabel 'Detector Signal [-]'
unset key
set style line 1 lt 1 lc rgb "red" lw 2
set style line 2 lt 2 lc rgb "blue" lw 2
set style line 3 lt 3 lc rgb "forest-green" lw 2
set style line 4 lt 4 lc rgb "magenta" lw 2
set style line 5 lt 5 lc rgb "dark-orange" lw 2
set style line 6 lt 6 lc rgb "royalblue" lw 2
set style line 7 lt 7 lc rgb "black" lw 2
set style line 8 lt 8 lc rgb "dark-red" lw 2
set style line 9 lt 9 lc rgb "orange-red" lw 2
set style line 10 lt 10 lc rgb "gray" lw 3
plot \
'-' using 1:2 with lines ls 1,\
'-' using 1:2 with lines ls 2,\
'-' using 1:2 with lines ls 3,\
'-' using 1:2 with lines ls 4,\
'-' using 1:2 with lines ls 5,\
'-' using 1:2 with lines ls 6,\
'-' using 1:2 with lines ls 7,\
'-' using 1:2 with lines ls 8,\
'-' using 1:2 with lines ls 9,\
'-' using 1:2 with lines ls 10,\
'-' using 1:2 with lines ls 1,\
'-' using 1:2 with lines ls 2,\
'-' using 1:2 with lines ls 3,\
'-' using 1:2 with lines ls 4,\
'-' using 1:2 with lines ls 5,\
'-' using 1:2 with lines ls 6,\
'-' using 1:2 with lines ls 7,\
'-' using 1:2 with lines ls 8,\
'-' using 1:2 with lines ls 9,\
'-' using 1:2 with lines ls 10,\
'-' using 1:2 with lines ls 1,\
'-' using 1:2 with lines ls 2,\
'-' using 1:2 with lines ls 3,\
'-' using 1:2 with lines ls 4,\
'-' using 1:2 with lines ls 5,\
'-' using 1:2 with lines ls 6,\
'-' using 1:2 with lines ls 7,\
'-' using 1:2 with lines ls 8,\
'-' using 1:2 with lines ls 9,\
'-' using 1:2 with lines ls 10,\
'-' using 1:2 with lines ls 1,\
'-' using 1:2 with lines ls 2,\
'-' using 1:2 with lines ls 3,\
'-' using 1:2 with lines ls 4,\
'-' using 1:2 with lines ls 5,\
'-' using 1:2 with lines ls 6,\
'-' using 1:2 with lines ls 7,\
'-' using 1:2 with lines ls 8,\
'-' using 1:2 with lines ls 9,\
'-' using 1:2 with lines ls 10,\
'-' using 1:2 with lines ls 1,\
'-' using 1:2 with lines ls 2,\
'-' using 1:2 with lines ls 3,\
'-' using 1:2 with lines ls 4,\
'-' using 1:2 with lines ls 5,\
'-' using 1:2 with lines ls 6,\
'-' using 1:2 with lines ls 7,\
'-' using 1:2 with lines ls 8,\
'-' using 1:2 with lines ls 9,\
'-' using 1:2 with lines ls 10,\
'-' using 1:2 with lines ls 1,\
'-' using 1:2 with lines ls 2,\
'-' using 1:2 with lines ls 3,\
'-' using 1:2 with lines ls 4,\
'-' using 1:2 with lines ls 5,\
'-' using 1:2 with lines ls 6,\
'-' using 1:2 with lines ls 7,\
'-' using 1:2 with lines ls 8,\
'-' using 1:2 with lines ls 9,\
'-' using 1:2 with lines ls 10,\
'-' using 1:2 with lines ls 1,\
'-' using 1:2 with lines ls 2,\
'-' using 1:2 with lines ls 3,\
'-' using 1:2 with lines ls 4,\
'-' using 1:2 with lines ls 5
1.0 0.00201016909069
2.0 0.00254227267352
3.0 0.00348823459856
4.0 0.00461156438453
5.0 0.00597138465177
6.0 0.0069173465768
7.0 0.00786330850183
8.0 0.00898663828781
9.0 0.0104647037957
10.0 0.0114106657207
11.0 0.0125339955067
12.0 0.0136573252927
13.0 0.0144850419771
14.0 0.0153718812818
15.0 0.0163178432068
16.0 0.0168499467896
17.0 0.0176185408537
18.0 0.0187418706397
19.0 0.0196878325647
20.0 0.0205155492491
21.0 0.0211658980726
22.0 0.0218753695164
23.0 0.0224665957195
24.0 0.0228213314414
25.0 0.0224665957195
26.0 0.0228213314414
27.0 0.0235899255055
28.0 0.0240037838477
29.0 0.0242993969493
30.0 0.0245950100508
31.0 0.0247132552915
32.0 0.0247723779118
33.0 0.024240274329
34.0 0.0237672933664
35.0 0.0241220290883
36.0 0.0242993969493
37.0 0.0241811517086
38.0 0.0239446612274
39.0 0.0235899255055
40.0 0.0231760671633
41.0 0.0227030862008
42.0 0.0215797564148
43.0 0.0206337944898
44.0 0.0204564266288
45.0 0.0200425682866
46.0 0.0193330968429
47.0 0.0186236253991
48.0 0.0177959087147
49.0 0.0169681920303
50.0 0.0159631074849
51.0 0.0146032872177
52.0 0.013539080052
53.0 0.0129478538489
54.0 0.0120018919239
55.0 0.0109968073785
56.0 0.00987347759253
57.0 0.00863190256592
58.0 0.00709471443774
59.0 0.00638524299397
60.0 0.00508454534705
61.0 0.00378384770013
e
1.0 0.00243111831442
2.0 0.00270124257158
3.0 0.00399783900594
4.0 0.0044300378174
5.0 0.00556455969746
6.0 0.00680713128039
7.0 0.00794165316045
8.0 0.00902215018909
9.0 0.0101566720692
10.0 0.0114532685035
11.0 0.012641815235
12.0 0.0137223122636
13.0 0.015397082658
14.0 0.0
15.0 0.0171258779038
16.0 0.0176121015667
17.0 0.018152350081
18.0 0.0195029713668
19.0 0.0202052944354
20.0 0.0209616423555
21.0 0.0217179902755
22.0 0.0223122636413
23.0 0.022906537007
24.0 0.0233927606699
25.0 0.023284710967
26.0 0.0236088600756
27.0 0.0244192328471
28.0 0.0249594813614
29.0 0.02528363047
30.0 0.0254457050243
31.0 0.0256077795786
32.0 0.02566180443
33.0 0.0250675310643
34.0 0.0247433819557
35.0 0.0247433819557
36.0 0.0249594813614
37.0 0.0247974068071
38.0 0.0244732576985
39.0 0.0242031334414
40.0 0.0238249594814
41.0 0.0233387358185
42.0 0.0225823878984
43.0 0.0215018908698
44.0 0.0211237169098
45.0 0.0206915180983
46.0 0.0195029713668
47.0 0.019394921664
48.0 0.0184224743382
49.0 0.0170718530524
50.0 0.0
51.0 0.0155051323609
52.0 0.014262560778
53.0 0.0135602377093
54.0 0.0123716909778
55.0 0.0113992436521
56.0 0.0103727714749
57.0 0.00918422474338
58.0 0.00788762830902
59.0 0.00686115613182
60.0 0.00556455969746
61.0 0.00415991356024
e
1.0 0.00237709346299
2.0 0.00253916801729
3.0 0.00361966504592
4.0 0.00459211237169
5.0 0.00578065910319
6.0 0.00659103187466
7.0 0.00756347920043
8.0 0.00858995137763
9.0 0.0097244732577
10.0 0.0110210696921
11.0 0.0121015667207
12.0 0.0131820637493
13.0 0.014262560778
14.0 0.0152350081037
15.0 0.0162074554295
16.0 0.0169638033495
17.0 0.0174500270124
18.0 0.0189627228525
19.0 0.0194489465154
20.0 0.0202052944354
21.0 0.0208535926526
22.0 0.0215559157212
23.0 0.022150189087
24.0 0.0226904376013
25.0 0.0226904376013
26.0 0.0228525121556
27.0 0.0236628849271
28.0 0.02414910859
29.0 0.0244192328471
30.0 0.0246353322528
31.0 0.0247433819557
32.0 0.0247974068071
33.0 0.0246893571043
34.0 0.0239870340357
35.0 0.0239870340357
36.0 0.0242031334414
37.0 0.0240950837385
38.0 0.0238789843328
39.0 0.0235548352242
40.0 0.0231766612642
41.0 0.0226364127499
42.0 0.0218800648298
43.0 0.0207455429498
44.0 0.0205834683955
45.0 0.0202593192869
46.0 0.0196110210697
47.0 0.0188546731496
48.0 0.0179362506753
49.0 0.0172339276067
50.0 0.0163155051324
51.0 0.0151269584009
52.0 0.0138303619665
53.0 0.0128038897893
54.0 0.0122096164236
55.0 0.0111831442464
56.0 0.0101026472177
57.0 0.00875202593193
58.0 0.00723933009184
59.0 0.00637493246894
60.0 0.00502431118314
61.0 0.00410588870881
e
1.0 0.00112575636756
2.0 0.00140719545945
3.0 0.00197007364323
4.0 0.00304892349547
5.0 0.00511281016933
6.0 0.00647309911347
7.0 0.00764576199634
8.0 0.00909986397111
9.0 0.0106946854918
10.0 0.0116797223134
11.0 0.012805478681
12.0 0.0139781415639
13.0 0.0148693653548
14.0 0.0158074956611
15.0 0.0166987194521
16.0 0.01712087809
17.0 0.0181997279422
18.0 0.0191847647638
19.0 0.0200759885548
20.0 0.0208733993152
21.0 0.0215300905296
22.0 0.0221398752287
23.0 0.0227496599278
24.0 0.0230310990197
25.0 0.0227027534124
26.0 0.0233594446269
27.0 0.0241099488719
28.0 0.0244852009944
29.0 0.0246728270557
30.0 0.0248604531169
31.0 0.0248604531169
32.0 0.0248604531169
33.0 0.0241099488719
34.0 0.02382850978
35.0 0.0242037619025
36.0 0.0243444814485
37.0 0.0241099488719
38.0 0.0238754162953
39.0 0.0235470706881
40.0 0.023078005535
41.0 0.0225620338665
42.0 0.0213893709836
43.0 0.0207326797692
44.0 0.0205919602233
45.0 0.0201228950701
46.0 0.0194662038557
47.0 0.0187156996107
48.0 0.0178244758197
49.0 0.016980158544
50.0 0.0159013086918
51.0 0.0144941132323
52.0 0.0135090764107
53.0 0.0128523851963
54.0 0.01191425489
55.0 0.0108354050378
56.0 0.0097096486702
57.0 0.00849007927201
58.0 0.0068952577513
59.0 0.00619166002158
60.0 0.00492518410807
61.0 0.00356489516394
e
1.0 0.00277307040518
2.0 0.00300415960561
3.0 0.00385148667386
4.0 0.00500693267601
5.0 0.00616237867817
6.0 0.00724079494685
7.0 0.00839624094901
8.0 0.00955168695116
9.0 0.0107841626868
10.0 0.0121706978894
11.0 0.0129409952242
12.0 0.0140194114928
13.0 0.015020798028
14.0 0.0158681250963
15.0 0.016792481898
16.0 0.0171006008319
17.0 0.0178708981667
18.0 0.0191033739023
19.0 0.0199507009706
20.0 0.0206439685719
21.0 0.0213372361732
22.0 0.0221075335079
23.0 0.0224926821753
24.0 0.0228008011092
25.0 0.0224156524418
26.0 0.0231089200431
27.0 0.023725157911
28.0 0.0241103065783
29.0 0.0243413957788
30.0 0.0244954552457
31.0 0.0245724849792
32.0 0.0245724849792
33.0 0.0240332768449
34.0 0.023571098444
35.0 0.0240332768449
36.0 0.0241103065783
37.0 0.0238792173779
38.0 0.0236481281775
39.0 0.0233400092436
40.0 0.0229548605762
41.0 0.0224156524418
42.0 0.0210291172393
43.0 0.0204899091049
44.0 0.0202588199045
45.0 0.0197196117701
46.0 0.0189493144354
47.0 0.0182560468341
48.0 0.0174087197658
49.0 0.0165613926976
50.0 0.0155600061624
51.0 0.0140964412263
52.0 0.0134802033585
53.0 0.0126328762902
54.0 0.0117085194885
55.0 0.0106301032198
56.0 0.00947465721769
57.0 0.00824218148205
58.0 0.00716376521337
59.0 0.00593128947774
60.0 0.0046988137421
61.0 0.00338930827299
e
1.0 0.00186610683462
2.0 0.00233263354327
3.0 0.00314905528341
4.0 0.00425705621647
5.0 0.0054233729881
6.0 0.0067063214369
7.0 0.00769769069279
8.0 0.00868905994868
9.0 0.00979706088174
10.0 0.0111966410077
11.0 0.0123629577793
12.0 0.0133543270352
13.0 0.0145206438069
14.0 0.01603685561
15.0 0.0162701189643
16.0 0.0169699090273
17.0 0.0173198040588
18.0 0.0183694891533
19.0 0.0194191742477
20.0 0.0202939118265
21.0 0.0209937018894
22.0 0.0215185444367
23.0 0.0221017028225
24.0 0.0226265453697
25.0 0.0226265453697
26.0 0.0226848612083
27.0 0.0233846512713
28.0 0.0238511779799
29.0 0.0241427571728
30.0 0.0243760205272
31.0 0.0245509680429
32.0 0.0246675997201
33.0 0.0246092838815
34.0 0.0239094938185
35.0 0.0238511779799
36.0 0.0240844413343
37.0 0.0240261254957
38.0 0.0237928621414
39.0 0.0235012829484
40.0 0.0230347562398
41.0 0.0226265453697
42.0 0.021751807791
43.0 0.0208187543737
44.0 0.0205271751808
45.0 0.0200606484721
46.0 0.0194774900863
47.0 0.0187777000233
48.0 0.0179612782832
49.0 0.0172614882202
50.0 0.0163284348029
51.0 0.0151038021927
52.0 0.013937485421
53.0 0.0131793795195
54.0 0.0123629577793
55.0 0.0113132726849
56.0 0.0102635875904
57.0 0.00915558665734
58.0 0.00804758572428
59.0 0.00682295311407
60.0 0.00554000466527
61.0 0.00431537205505
e
1.0 0.00277659120034
2.0 0.00313256443115
3.0 0.00398690018511
4.0 0.00498362523138
5.0 0.00626512886231
6.0 0.00747543784707
7.0 0.00840096824719
8.0 0.0093264986473
9.0 0.0108927808629
10.0 0.0126014523708
11.0 0.0132422041862
12.0 0.0140965399402
13.0 0.0150220703403
14.0 0.0160187953866
15.0 0.0170155204329
16.0 0.0171579097252
17.0 0.0180834401253
18.0 0.0192225544639
19.0 0.020148084864
20.0 0.0211448099103
21.0 0.0215719777873
22.0 0.0220703403104
23.0 0.0225687028335
24.0 0.022782286772
25.0 0.0224975081874
26.0 0.0232806492952
27.0 0.0239214011106
28.0 0.0242773743414
29.0 0.0244909582799
30.0 0.0247045422184
31.0 0.0247045422184
32.0 0.0246333475723
33.0 0.024063790403
34.0 0.023636622526
35.0 0.024063790403
36.0 0.024063790403
37.0 0.0238502064645
38.0 0.023636622526
39.0 0.023209454649
40.0 0.0225687028335
41.0 0.0222127296027
42.0 0.021002420618
43.0 0.0205040580948
44.0 0.0202192795102
45.0 0.0196497223409
46.0 0.0188665812331
47.0 0.0182258294176
48.0 0.0173002990175
49.0 0.0164459632636
50.0 0.0150932649865
51.0 0.014025345294
52.0 0.0132422041862
53.0 0.0125302577246
54.0 0.0114623380322
55.0 0.0103944183397
56.0 0.00925530400114
57.0 0.00811618966254
58.0 0.00697707532394
59.0 0.00569557169301
60.0 0.00391570553894
61.0 0.00327495372348
e
1.0 0.00208564166069
2.0 0.00254187577397
3.0 0.00351952030242
4.0 0.00488822264225
5.0 0.00599621977449
6.0 0.00716939320863
7.0 0.00814703773708
8.0 0.00912468226553
9.0 0.0106237372092
10.0 0.0117317343414
11.0 0.0132959655869
12.0 0.0139477286059
13.0 0.0149253731343
14.0 0.0159030176628
15.0 0.0166851332855
16.0 0.0171413673988
17.0 0.0179234830216
18.0 0.0190314801538
19.0 0.020204653588
20.0 0.0207260640031
21.0 0.0213778270221
22.0 0.0220295900411
23.0 0.0226161767581
24.0 0.0228768819657
25.0 0.02268135306
26.0 0.023333116079
27.0 0.023984879098
28.0 0.0243759369093
29.0 0.0244411132112
30.0 0.024571465815
31.0 0.0246366421169
32.0 0.0247018184188
33.0 0.0243759369093
34.0 0.0238545264942
35.0 0.0241804080036
36.0 0.0241804080036
37.0 0.023984879098
38.0 0.0237241738904
39.0 0.0232679397771
40.0 0.0228768819657
41.0 0.0221599426449
42.0 0.0212474744183
43.0 0.0205957113993
44.0 0.0203350061917
45.0 0.0198135957766
46.0 0.0191618327576
47.0 0.0184448934367
48.0 0.0175976015121
49.0 0.0164896043798
50.0 0.0157074887571
51.0 0.0139477286059
52.0 0.0134914944926
53.0 0.0124486736623
54.0 0.0114710291338
55.0 0.0106237372092
56.0 0.00945056377501
57.0 0.00840774294467
58.0 0.00723456951053
59.0 0.0058006908688
60.0 0.00469269373656
61.0 0.00319363879293
e
1.0 0.00175808720113
2.0 0.00246132208158
3.0 0.00328176277543
4.0 0.0042780121894
5.0 0.00550867323019
6.0 0.00691514299109
7.0 0.00796999531177
8.0 0.00867323019222
9.0 0.0100210970464
10.0 0.0112517580872
11.0 0.0125996249414
12.0 0.0136544772621
13.0 0.014650726676
14.0 0.0155883731833
15.0 0.0167018284107
16.0 0.0171120487576
17.0 0.0175222691045
18.0 0.0187529301453
19.0 0.0195733708392
20.0 0.0203938115331
21.0 0.0211556493202
22.0 0.0216830754805
23.0 0.0225035161744
24.0 0.0227379278012
25.0 0.0226207219878
26.0 0.0229137365213
27.0 0.0235583684951
28.0 0.0240271917487
29.0 0.0242616033755
30.0 0.0244374120956
31.0 0.024554617909
32.0 0.0246132208158
33.0 0.0244960150023
34.0 0.0237927801219
35.0 0.0239099859353
36.0 0.0241443975621
37.0 0.0240857946554
38.0 0.0237927801219
39.0 0.0234997655884
40.0 0.0230895452414
41.0 0.0224449132677
42.0 0.0215072667604
43.0 0.0206868260666
44.0 0.0205110173465
45.0 0.0201007969995
46.0 0.019221753399
47.0 0.0187529301453
48.0 0.0178738865448
49.0 0.0171120487576
50.0 0.0162330051571
51.0 0.015060947023
52.0 0.0138888888889
53.0 0.0127754336615
54.0 0.0121308016878
55.0 0.0111345522738
56.0 0.0097866854196
57.0 0.00884903891233
58.0 0.00761837787154
59.0 0.00650492264416
60.0 0.00533286451008
61.0 0.00392639474918
e
1.0 0.00264983243707
2.0 0.00288364118151
3.0 0.003663003663
4.0 0.00490998363339
5.0 0.00600109110747
6.0 0.00709219858156
7.0 0.0081053698075
8.0 0.00896266853714
9.0 0.010443457252
10.0 0.0116904372224
11.0 0.0132491621853
12.0 0.0138726521705
13.0 0.0148858233965
14.0 0.0158989946224
15.0 0.0166783571039
16.0 0.0171459745928
17.0 0.017769464578
18.0 0.0190164445484
19.0 0.0201075520224
20.0 0.0207310420076
21.0 0.0213545319928
22.0 0.021978021978
23.0 0.0225235757151
24.0 0.0228353207077
25.0 0.0225235757151
26.0 0.0230691294521
27.0 0.0237705556854
28.0 0.0242381731743
29.0 0.0243940456706
30.0 0.0245499181669
31.0 0.0246278544151
32.0 0.0247057906632
33.0 0.0243940456706
34.0 0.023536746941
35.0 0.0238484919336
36.0 0.0239264281817
37.0 0.0237705556854
38.0 0.0234588106929
39.0 0.0230691294521
40.0 0.0226794482114
41.0 0.0221338944743
42.0 0.0212765957447
43.0 0.0204972332632
44.0 0.0203413607669
45.0 0.019873743278
46.0 0.0192502532928
47.0 0.0185488270595
48.0 0.0176915283298
49.0 0.0166004208557
50.0 0.0158210583742
51.0 0.0140285246668
52.0 0.0135609071779
53.0 0.0126256722001
54.0 0.0116904372224
55.0 0.0108331384927
56.0 0.00958615852233
57.0 0.00857298729639
58.0 0.00748187982231
59.0 0.00607902735562
60.0 0.00498791988154
61.0 0.00350713116671
e
1.0 0.00294303132226
2.0 0.00304813958377
3.0 0.00388900567585
4.0 0.00504519655245
5.0 0.00599117090603
6.0 0.00714736178264
7.0 0.00819844439773
8.0 0.00914441875131
9.0 0.0106159344124
10.0 0.0118772335506
11.0 0.0130334244272
12.0 0.0138742905192
13.0 0.0149253731343
14.0 0.0158713474879
15.0 0.01671221358
16.0 0.0170275383645
17.0 0.0178684044566
18.0 0.0190245953332
19.0 0.0199705696868
20.0 0.0208114357789
21.0 0.0214420853479
22.0 0.022072734917
23.0 0.022703384486
24.0 0.022913601009
25.0 0.022703384486
26.0 0.0232289257936
27.0 0.0239646836241
28.0 0.0243851166702
29.0 0.0247004414547
30.0 0.0248055497162
31.0 0.0249106579777
32.0 0.0249106579777
33.0 0.0245953331932
34.0 0.0237544671011
35.0 0.0241749001472
36.0 0.0243851166702
37.0 0.0242800084087
38.0 0.0240697918856
39.0 0.0236493588396
40.0 0.0231238175321
41.0 0.022703384486
42.0 0.0216523018709
43.0 0.0207063275173
44.0 0.0206012192558
45.0 0.0202858944713
46.0 0.0196552449022
47.0 0.0189194870717
48.0 0.0180786209796
49.0 0.017132646626
50.0 0.0159764557494
51.0 0.0147151566113
52.0 0.0130334244272
53.0 -0.000105108261509
54.0 0.0121925583351
55.0 0.010931259197
56.0 0.0100903931049
57.0 0.00861887744377
58.0 0.00767290309018
59.0 0.00641160395207
60.0 0.00504519655245
61.0 0.00388900567585
e
1.0 0.00257244090666
2.0 0.00300927049459
3.0 0.00441683250012
4.0 0.00548463815949
5.0 0.00674659030238
6.0 0.00747463961559
7.0 0.00839683541232
8.0 0.00961025093433
9.0 0.0108722030772
10.0 0.0121341552201
11.0 0.0131534242586
12.0 0.0142697665389
13.0 0.0152890355773
14.0 0.0162112313741
15.0 0.017036353929
16.0 0.017473183517
17.0 0.0184924525555
18.0 0.0198514779401
19.0 0.020288307528
20.0 0.0209678202204
21.0 0.0215987962918
22.0 0.0222297723632
23.0 0.0227151385721
24.0 0.0227636751929
25.0 0.0227151385721
26.0 0.023540261127
27.0 0.0241227005776
28.0 0.0244624569237
29.0 0.0246080667864
30.0 0.0247051400282
31.0 0.024753676649
32.0 0.0247051400282
33.0 0.0239770907149
34.0 0.0238314808523
35.0 0.0240741639567
36.0 0.0240256273358
37.0 0.0237829442314
38.0 0.0234431878853
39.0 0.0230548949182
40.0 0.0226666019512
41.0 0.0218900160171
42.0 0.0208707469786
43.0 0.0203853807698
44.0 0.0200941610445
45.0 0.0195602582148
46.0 0.0188322089016
47.0 0.0180070863466
48.0 0.017036353929
49.0 0.0163568412367
50.0 0.0151919623356
51.0 0.0140270834345
52.0 0.0131048876377
53.0 0.0119400087366
54.0 0.0113090326651
55.0 0.0102412270058
56.0 0.00912488472553
57.0 0.00776585934087
58.0 0.00626122409358
59.0 0.00538756491773
60.0 0.0039800029122
61.0 0.00310634373635
e
1.0 0.00280534053717
2.0 0.0031170450413
3.0 0.00394825705231
4.0 0.00514312431815
5.0 0.0062340900826
6.0 0.00732505584706
7.0 0.0084679723622
8.0 0.00966283962803
9.0 0.0108577068939
10.0 0.0122603771625
11.0 0.0129876876721
12.0 0.0140786534365
13.0 0.0150137669489
14.0 0.0158969297106
15.0 0.0167281417216
16.0 0.0170398462258
17.0 0.0179230089875
18.0 0.0191178762533
19.0 0.0199490882643
20.0 0.020676398774
21.0 0.0212998077822
22.0 0.0221310197932
23.0 0.0224946750481
24.0 0.0227544288015
25.0 0.0223907735467
26.0 0.0232219855577
27.0 0.023845394566
28.0 0.0242090498208
29.0 0.0243129513221
30.0 0.0245207543249
31.0 0.0245727050756
32.0 0.0245207543249
33.0 0.024001246818
34.0 0.0236375915632
35.0 0.0240531975687
36.0 0.0240531975687
37.0 0.0237934438153
38.0 0.0235336900618
39.0 0.0232219855577
40.0 0.0228063795522
41.0 0.0221829705439
42.0 0.0208842017767
43.0 0.0205205465219
44.0 0.0203127435191
45.0 0.0198451867629
46.0 0.0191178762533
47.0 0.018338614993
48.0 0.0174554522313
49.0 0.0165722894696
50.0 0.0154813237051
51.0 0.0140267026859
52.0 0.0134032936776
53.0 0.0126240324173
54.0 0.0115850174035
55.0 0.0105460023897
56.0 0.00929918437321
57.0 0.00815626785807
58.0 0.00706530209362
59.0 0.00587043482778
60.0 0.00467556756195
61.0 0.00342874954543
e
1.0 0.00249418967179
2.0 0.0027209341874
3.0 0.00345785386316
4.0 0.00459157644124
5.0 0.00572529901933
6.0 0.00691570772632
7.0 0.00787937191769
8.0 0.00884303610906
9.0 0.010090130945
10.0 0.0113372257809
11.0 0.0124709483589
12.0 0.0134346125503
13.0 0.0144549628706
14.0 0.0154753131909
15.0 0.01655234964
16.0 0.0170058386713
17.0 0.0175160138314
18.0 0.0187064225384
19.0 0.0197267728587
20.0 0.0205203786633
21.0 0.0212006122102
22.0 0.0218241596281
23.0 0.0224477070461
24.0 0.0228445099484
25.0 0.0226177654328
26.0 0.023071254464
27.0 0.0238081741398
28.0 0.0241482909132
29.0 0.0243750354288
30.0 0.0246017799444
31.0 0.0246584660734
32.0 0.0247151522023
33.0 0.0244884076866
34.0 0.0237514880109
35.0 0.0239215463976
36.0 0.0240349186554
37.0 0.0238648602687
38.0 0.0236381157531
39.0 0.0232979989796
40.0 0.0228445099484
41.0 0.0224477070461
42.0 0.0216541012414
43.0 0.0206904370501
44.0 0.0204636925344
45.0 0.0200102035032
46.0 0.0193866560853
47.0 0.0186497364095
48.0 0.0178561306048
49.0 0.0170058386713
50.0 0.015985488351
51.0 0.0147383935151
52.0 0.0137747293237
53.0 0.013037809648
54.0 0.0120174593277
55.0 0.0108270506207
56.0 0.00975001417153
57.0 0.00872966385126
58.0 0.00753925514427
59.0 0.00640553256618
60.0 0.00504506547248
61.0 0.00391134289439
e
1.0 0.00226595882429
2.0 0.00304285899262
3.0 0.00401398420303
4.0 0.00524407613622
5.0 0.0064741680694
6.0 0.0075747766412
7.0 0.00874012689369
8.0 0.00990547714619
9.0 0.0111355690794
10.0 0.0126246277353
11.0 0.0137899779878
12.0 0.0146316198369
13.0 0.0156027450473
14.0 0.0166386119384
15.0 0.0174802537874
16.0 0.0179334455522
17.0 0.0191635374854
18.0 0.0199404376538
19.0 0.0207820795028
20.0 0.0216884630325
21.0 0.0224006215201
22.0 0.0229185549657
23.0 0.023695455134
24.0 0.0236307134533
25.0 0.0239544218568
26.0 0.0
27.0 0.0249255470672
28.0 0.0251197721093
29.0 0.0253787388321
30.0 0.0255729638741
31.0 0.0257024472355
32.0 0.0256377055548
33.0 0.0249902887479
34.0 0.0247313220251
35.0 0.0250550304286
36.0 0.0249902887479
37.0 0.0247960637058
38.0 0.0244723553023
39.0 0.0240839052182
40.0 0.023695455134
41.0 0.0231127800078
42.0 0.022012171436
43.0 0.0214294963097
44.0 0.0211057879063
45.0 0.02052311278
46.0 0.0198109542924
47.0 0.0189693124434
48.0 0.0181276705943
49.0 0.0172212870646
50.0 0.0146316198369
51.0 0.0
52.0 0.0137252363071
53.0 0.0130778195002
54.0 0.0115887608442
55.0 0.0106823773145
56.0 0.0097112521041
57.0 0.00828693512884
58.0 0.00731580991843
59.0 0.00602097630454
60.0 0.00479088437136
61.0 0.00343130907678
e
1.0 0.00226954464243
2.0 0.00294557921677
3.0 0.00371819015887
4.0 0.00487710657202
5.0 0.00603602298518
6.0 0.00738809213385
7.0 0.00811241489208
8.0 0.00922304312135
9.0 0.01057511227
10.0 0.0117823168671
11.0 0.0131343860157
12.0 0.0139069969578
13.0 0.0149210488194
14.0 0.015886812497
15.0 0.0168042879907
16.0 0.0171905934618
17.0 0.0181563571394
18.0 0.0191704090009
19.0 0.0199913081269
20.0 0.020763919069
21.0 0.0214399536433
22.0 0.0219228354822
23.0 0.0224540055049
24.0 0.0226954464243
25.0 0.0225022936887
26.0 0.0233231928147
27.0 0.0239509392052
28.0 0.0243372446762
29.0 0.0245303974118
30.0 0.0246269737795
31.0 0.0247235501473
32.0 0.0246752619634
33.0 0.0241440919407
34.0 0.0238060746535
35.0 0.0241923801246
36.0 0.0241923801246
37.0 0.0239992273891
38.0 0.0237094982858
39.0 0.0233714809986
40.0 0.0228885991598
41.0 0.0221642764016
42.0 0.0211985127239
43.0 0.0207156308851
44.0 0.0204259017818
45.0 0.0197981553914
46.0 0.019122120817
47.0 0.0183495098749
48.0 0.0175286107489
49.0 0.0166594234391
50.0 0.015452218842
51.0 0.0141967260611
52.0 0.0135206914868
53.0 0.0125066396253
54.0 0.0115408759477
55.0 0.0104785359023
56.0 0.00931961948911
57.0 0.00816070307596
58.0 0.00685692211116
59.0 0.00584287024965
60.0 0.00449080110097
61.0 0.00333188468782
e
1.0 0.00278334446671
2.0 0.00289467824538
3.0 0.00367401469606
4.0 0.00478735248274
5.0 0.00590069026943
6.0 0.00712536183478
7.0 0.0081273658428
8.0 0.00890670229348
9.0 0.0102427076375
10.0 0.0113560454242
11.0 0.0125807169895
12.0 0.0135827209976
13.0 0.0145847250056
14.0 0.0154753952349
15.0 0.0164773992429
16.0 0.0169227343576
17.0 0.0174794032509
18.0 0.018815408595
19.0 0.0197060788243
20.0 0.020485415275
21.0 0.021153417947
22.0 0.0217100868403
23.0 0.0222667557337
24.0 0.0227120908484
25.0 0.0223780895124
26.0 0.023157425963
27.0 0.0239367624137
28.0 0.0242707637497
29.0 0.0246047650857
30.0 0.0248274326431
31.0 0.0250501002004
32.0 0.0250501002004
33.0 0.0247160988644
34.0 0.023825428635
35.0 0.0241594299711
36.0 0.0243820975284
37.0 0.0241594299711
38.0 0.0239367624137
39.0 0.023491427299
40.0 0.0229347584057
41.0 0.022489423291
42.0 0.0213760855043
43.0 0.0207080828323
44.0 0.0205967490537
45.0 0.0200400801603
46.0 0.0192607437096
47.0 0.0183700734803
48.0 0.0177020708083
49.0 0.0169227343576
50.0 0.0158093965709
51.0 0.0142507236696
52.0 0.0134713872189
53.0 0.0126920507682
54.0 0.0116900467602
55.0 0.0105767089735
56.0 0.00935203740815
57.0 0.00835003340013
58.0 0.00712536183478
59.0 0.00612335782676
60.0 0.00489868626141
61.0 0.00356268091739
e
1.0 0.00279017857143
2.0 0.00267857142857
3.0 0.00323660714286
4.0 0.00412946428571
5.0 0.00535714285714
6.0 0.00658482142857
7.0 0.00758928571429
8.0 0.00848214285714
9.0 0.00959821428571
10.0 0.0110491071429
11.0 0.0122767857143
12.0 0.0131696428571
13.0 0.0142857142857
14.0 0.0159598214286
15.0 0.0162946428571
16.0 0.0169642857143
17.0 0.0171875
18.0 0.0183035714286
19.0 0.0194196428571
20.0 0.0202008928571
21.0 0.0208705357143
22.0 0.0215401785714
23.0 0.0220982142857
24.0 0.02265625
25.0 0.0225446428571
26.0 0.0224330357143
27.0 0.0232142857143
28.0 0.0236607142857
29.0 0.0239955357143
30.0 0.02421875
31.0 0.0244419642857
32.0 0.0246651785714
33.0 0.0246651785714
34.0 0.0238839285714
35.0 0.0237723214286
36.0 0.02421875
37.0 0.02421875
38.0 0.0239955357143
39.0 0.0236607142857
40.0 0.0232142857143
41.0 0.0228794642857
42.0 0.021875
43.0 0.0208705357143
44.0 0.0206473214286
45.0 0.0202008928571
46.0 0.0196428571429
47.0 0.0188616071429
48.0 0.01796875
49.0 0.0171875
50.0 0.0162946428571
51.0 0.0149553571429
52.0 0.0137276785714
53.0 0.0131696428571
54.0 0.0123883928571
55.0 0.0113839285714
56.0 0.0102678571429
57.0 0.00926339285714
58.0 0.00803571428571
59.0 0.00691964285714
60.0 0.00558035714286
61.0 0.00435267857143
e
1.0 0.0024620434961
2.0 0.00287238407879
3.0 0.00381030541063
4.0 0.00504132715868
5.0 0.00627234890674
6.0 0.00738613048831
7.0 0.00832405182015
8.0 0.00932059323524
9.0 0.0106688551498
10.0 0.0118412568146
11.0 0.0128964183129
12.0 0.0142446802274
13.0 0.0149481212263
14.0 0.0158860425582
15.0 0.0167653438068
16.0 0.0172343044727
17.0 0.0181722258046
18.0 0.0192273873029
19.0 0.0200480684683
20.0 0.0208687496336
21.0 0.0215135705493
22.0 0.0220997713817
23.0 0.0226273521308
24.0 0.0227445922973
25.0 0.0226859722141
26.0 0.023389413213
27.0 0.0239169939621
28.0 0.0242100943783
29.0 0.0244445747113
30.0 0.024620434961
31.0 0.0247376751275
32.0 0.0247376751275
33.0 0.0243273345448
34.0 0.0237997537957
35.0 0.0240928542119
36.0 0.0240342341286
37.0 0.0239169939621
38.0 0.0235652734627
39.0 0.02315493288
40.0 0.0227445922973
41.0 0.0221583914649
42.0 0.0211032299666
43.0 0.0205756492174
44.0 0.0202825488012
45.0 0.0196963479688
46.0 0.0188170467202
47.0 0.018289465971
48.0 0.0174687848057
49.0 0.0165894835571
50.0 0.015592942142
51.0 0.0141860601442
52.0 0.0134239990621
53.0 0.0126033178967
54.0 0.0114309162319
55.0 0.0103757547336
56.0 0.00920335306876
57.0 0.00814819157043
58.0 0.00703440998886
59.0 0.00580338824081
60.0 0.0043378861598
61.0 0.00322410457823
e
1.0 0.0027983210074
2.0 0.00299820107935
3.0 0.00379772136718
4.0 0.00493037510827
5.0 0.00626290892131
6.0 0.00719568259045
7.0 0.00812845625958
8.0 0.00926111000067
9.0 0.0106602705044
10.0 0.0115930441735
11.0 0.0126590712239
12.0 0.013791724965
13.0 0.0146578719435
14.0 0.0156572723033
15.0 0.0165234192818
16.0 0.0169898061163
17.0 0.0178559530948
18.0 0.0188553534546
19.0 0.0197881271237
20.0 0.0205876474116
21.0 0.0212539143181
22.0 0.0218535545339
23.0 0.0224531947498
24.0 0.0228529548937
25.0 0.0225198214405
26.0 0.0230528349657
27.0 0.0237857285629
28.0 0.0241854887068
29.0 0.0244519954694
30.0 0.0245852488507
31.0 0.0246518755413
32.0 0.0246518755413
33.0 0.0239856086348
34.0 0.0235192218003
35.0 0.0238523552535
36.0 0.0239856086348
37.0 0.0238523552535
38.0 0.0235858484909
39.0 0.0232527150376
40.0 0.0228529548937
41.0 0.0223865680592
42.0 0.0213205410087
43.0 0.0204543940302
44.0 0.0202545139583
45.0 0.0198547538144
46.0 0.0191884869079
47.0 0.0184555933107
48.0 0.0175894463322
49.0 0.0167899260444
50.0 0.0157905256846
51.0 0.0144579918715
52.0 0.0133919648211
53.0 0.0127923246052
54.0 0.0118595509361
55.0 0.0107935238857
56.0 0.00972749683523
57.0 0.00852821640349
58.0 0.00699580251849
59.0 0.00632953561197
60.0 0.00506362848957
61.0 0.00379772136718
e
1.0 0.00237014624307
2.0 0.00282400403429
3.0 0.0036308623298
4.0 0.0047907211296
5.0 0.0059505799294
6.0 0.00700958144226
7.0 0.008270297529
8.0 0.00943015632879
9.0 0.0106404437721
10.0 0.0120020171457
11.0 0.0127584467978
12.0 0.0139183055976
13.0 0.0148764498235
14.0 0.015784165406
15.0 0.0166918809884
16.0 0.0170953101362
17.0 0.0179525970751
18.0 0.0190620272315
19.0 0.0198184568835
20.0 0.0205748865356
21.0 0.0212304589007
22.0 0.0220877458396
23.0 0.0224407463439
24.0 0.0227433182047
25.0 0.0225416036309
26.0 0.0232476046394
27.0 0.0238527483611
28.0 0.0242561775088
29.0 0.0245083207262
30.0 0.0246596066566
31.0 0.0247604639435
32.0 0.0247100353001
33.0 0.0242057488654
34.0 0.0238023197176
35.0 0.0240040342915
36.0 0.0240544629349
37.0 0.0238527483611
38.0 0.0235501765003
39.0 0.023197175996
40.0 0.0227937468482
41.0 0.0222894604135
42.0 0.0211296016137
43.0 0.020726172466
44.0 0.0204236006051
45.0 0.0199193141704
46.0 0.0191628845184
47.0 0.0184064548664
48.0 0.0175995965709
49.0 0.0167423096319
50.0 0.015683308119
51.0 0.0142713061019
52.0 0.0135653050933
53.0 0.0127584467978
54.0 0.0116994452849
55.0 0.0106404437721
56.0 0.00948058497226
57.0 0.008270297529
58.0 0.00716086737267
59.0 0.0059505799294
60.0 0.00474029248613
61.0 0.00342914775593
e
1.0 0.00275297619048
2.0 0.00282738095238
3.0 0.00379464285714
4.0 0.0
5.0 0.00595238095238
6.0 0.00699404761905
7.0 0.00811011904762
8.0 0.0094494047619
9.0 0.0107142857143
10.0 0.011755952381
11.0 0.0126488095238
12.0 0.0138392857143
13.0 0.014806547619
14.0 0.0157738095238
15.0 0.0165922619048
16.0 0.0171875
17.0 0.0177827380952
18.0 0.0191964285714
19.0 0.0197172619048
20.0 0.0205357142857
21.0 0.0212053571429
22.0 0.021875
23.0 0.022693452381
24.0 0.0229166666667
25.0 0.022693452381
26.0 0.0228422619048
27.0 0.0237351190476
28.0 0.024181547619
29.0 0.0244791666667
30.0 0.0247023809524
31.0 0.0247767857143
32.0 0.0247767857143
33.0 0.0243303571429
34.0 0.0237351190476
35.0 0.0240327380952
36.0 0.024255952381
37.0 0.0241071428571
38.0 0.0236607142857
39.0 0.0234375
40.0 0.0229910714286
41.0 0.022619047619
42.0 0.0217261904762
43.0 0.0206845238095
44.0 0.0205357142857
45.0 0.0200892857143
46.0 0.019494047619
47.0 0.0186755952381
48.0 0.0172619047619
49.0 0.0170386904762
50.0 0.0159226190476
51.0 0.0146577380952
52.0 0.0138392857143
53.0 0.0130208333333
54.0 0.0119791666667
55.0 0.0110119047619
56.0 0.00989583333333
57.0 0.00870535714286
58.0 0.00721726190476
59.0 0.00550595238095
60.0 0.00491071428571
61.0 0.00334821428571
e
1.0 0.00275308739086
2.0 0.0028317470306
3.0 0.00353968378825
4.0 0.00464091874459
5.0 0.00574215370094
6.0 0.00684338865728
7.0 0.00818060253284
8.0 0.00912451820971
9.0 0.0103830724455
10.0 0.0117202863211
11.0 0.0125068827185
12.0 0.0136081176748
13.0 0.0145520333517
14.0 0.0154959490286
15.0 0.0164398647054
16.0 0.0169904821836
17.0 0.0173837803823
18.0 0.0185636749784
19.0 0.019586250295
20.0 0.0203728466924
21.0 0.0210021238103
22.0 0.0218673798474
23.0 0.0221820184064
24.0 0.0226539762448
25.0 0.0224966569653
26.0 0.0227326358845
27.0 0.0235192322819
28.0 0.0239911901203
29.0 0.0243058286793
30.0 0.0244631479588
31.0 0.0245418075985
32.0 0.0245418075985
33.0 0.0243058286793
34.0 0.0235192322819
35.0 0.0236765515614
36.0 0.0239125304806
37.0 0.0238338708409
38.0 0.0235978919217
39.0 0.0233619130024
40.0 0.0229686148037
41.0 0.0224966569653
42.0 0.0216314009282
43.0 0.0206088256116
44.0 0.0203728466924
45.0 0.0199795484937
46.0 0.0193502713758
47.0 0.0186423346181
48.0 0.0178557382207
49.0 0.0170691418233
50.0 0.0161252261465
51.0 0.0147093526312
52.0 0.0137654369543
53.0 0.0130575001966
54.0 0.0121135845198
55.0 0.0110910092032
56.0 0.0099111146071
57.0 0.00880987965075
58.0 0.00770864469441
59.0 0.00652875009832
60.0 0.00534885550224
61.0 0.00409030126642
e
1.0 0.00279655092053
2.0 0.00291307387555
3.0 0.00372873456071
4.0 0.00466091820089
5.0 0.00594267070613
6.0 0.00710790025635
7.0 0.00804008389653
8.0 0.00873922162666
9.0 0.0102540200419
10.0 0.0120018643673
11.0 0.0125844791424
12.0 0.0135166627826
13.0 0.0143323234677
14.0 0.0153810300629
15.0 0.0165462596131
16.0 0.0168958284782
17.0 0.0172453973433
18.0 0.0184106268935
19.0 0.0194593334887
20.0 0.0205080400839
21.0 0.020974131904
22.0 0.0214402237241
23.0 0.0221393614542
24.0 0.0224889303193
25.0 0.0222558844092
26.0 0.0224889303193
27.0 0.0234211139595
28.0 0.0240037287346
29.0 0.0243532975996
30.0 0.0245863435097
31.0 0.0247028664647
32.0 0.0247028664647
33.0 0.0245863435097
34.0 0.0235376369145
35.0 0.0238872057795
36.0 0.0240037287346
37.0 0.0238872057795
38.0 0.0236541598695
39.0 0.0233045910044
40.0 0.0227219762293
41.0 0.0224889303193
42.0 0.0216732696341
43.0 0.0205080400839
44.0 0.0202749941739
45.0 0.0199254253088
46.0 0.0193428105337
47.0 0.0186436728035
48.0 0.0179445350734
49.0 0.0171288743883
50.0 0.0160801677931
51.0 0.0149149382428
52.0 0.0138662316476
53.0 0.0131670939175
54.0 0.0122349102773
55.0 0.0113027266371
56.0 0.0101374970869
57.0 0.0089722675367
58.0 0.00780703798648
59.0 0.00652528548124
60.0 0.00477744115591
61.0 0.00407830342577
e
1.0 0.00252383623107
2.0 0.00263600673023
3.0 0.00319685922602
4.0 0.00437464946719
5.0 0.0054402692092
6.0 0.00661805945036
7.0 0.00768367919237
8.0 0.00852495793606
9.0 0.0100392596747
10.0 0.0112731351655
11.0 0.0129556926528
12.0 0.0135726303982
13.0 0.0146382501402
14.0 0.0156477846326
15.0 0.0164329781268
16.0 0.016937745373
17.0 0.0174425126192
18.0 0.0186763881099
19.0 0.0199102636007
20.0 0.020527201346
21.0 0.0212563095906
22.0 0.021873247336
23.0 0.0224340998317
24.0 0.0228266965788
25.0 0.0224901850813
26.0 0.0228266965788
27.0 0.0236679753225
28.0 0.0241166573191
29.0 0.0242849130679
30.0 0.0245092540662
31.0 0.0246214245653
32.0 0.0246775098149
33.0 0.0245092540662
34.0 0.0236118900729
35.0 0.0239484015704
36.0 0.0241727425687
37.0 0.0241166573191
38.0 0.0238923163208
39.0 0.0234997195738
40.0 0.0231071228267
41.0 0.0224901850813
42.0 0.0217049915872
43.0 0.0206954570948
44.0 0.020527201346
45.0 0.0200785193494
46.0 0.0195176668536
47.0 0.0187885586091
48.0 0.018003365115
49.0 0.016937745373
50.0 0.0162086371284
51.0 0.0143578238923
52.0 0.0137969713965
53.0 0.0128996074033
54.0 0.0119461581604
55.0 0.0110487941671
56.0 0.00981491867639
57.0 0.00880538418396
58.0 0.00762759394279
59.0 0.00633763320247
60.0 0.00521592821088
61.0 0.00370162647224
e
1.0 0.0031356292517
2.0 0.00302933673469
3.0 0.00372023809524
4.0 0.00478316326531
5.0 0.00611181972789
6.0 0.00701530612245
7.0 0.00797193877551
8.0 0.00903486394558
9.0 0.0105229591837
10.0 0.0114795918367
11.0 0.0125425170068
12.0 0.0136585884354
13.0 0.0145620748299
14.0 0.015518707483
15.0 0.0164753401361
16.0 0.0170068027211
17.0 0.0176977040816
18.0 0.0187606292517
19.0 0.0196641156463
20.0 0.0205144557823
21.0 0.0211522108844
22.0 0.0217368197279
23.0 0.0223214285714
24.0 0.0227465986395
25.0 0.0223745748299
26.0 0.022693452381
27.0 0.023650085034
28.0 0.024181547619
29.0 0.0244472789116
30.0 0.0247130102041
31.0 0.0248193027211
32.0 0.0248193027211
33.0 0.0242346938776
34.0 0.0235969387755
35.0 0.0238095238095
36.0 0.024075255102
37.0 0.0239158163265
38.0 0.023650085034
39.0 0.023331207483
40.0 0.022906037415
41.0 0.0224277210884
42.0 0.0214179421769
43.0 0.0203550170068
44.0 0.0203018707483
45.0 0.0199298469388
46.0 0.0193452380952
47.0 0.0186011904762
48.0 0.0176977040816
49.0 0.0169536564626
50.0 0.0159970238095
51.0 0.0146152210884
52.0 0.0134460034014
53.0 0.0128613945578
54.0 0.0119047619048
55.0 0.0108949829932
56.0 0.00977891156463
57.0 0.00855654761905
58.0 0.00706845238095
59.0 0.00637755102041
60.0 0.00515518707483
61.0 0.00393282312925
e
1.0 0.00279463430214
2.0 0.00279463430214
3.0 0.00343340785691
4.0 0.00455126157777
5.0 0.00542957521559
6.0 0.00662727563079
7.0 0.00774512935164
8.0 0.00862344298946
9.0 0.0100606834877
10.0 0.0114180772916
11.0 0.0125359310125
12.0 0.0134142446503
13.0 0.0144522516768
14.0 0.0154104120089
15.0 0.0163685723411
16.0 0.0170871925902
17.0 0.0176461194507
18.0 0.0187639731715
19.0 0.0197221335037
20.0 0.0206004471415
21.0 0.0212392206963
22.0 0.021877994251
23.0 0.0224369211115
24.0 0.0229958479719
25.0 0.0226764611945
26.0 0.0229160012775
27.0 0.0237943149154
28.0 0.0243532417758
29.0 0.0246726285532
30.0 0.0248323219419
31.0 0.0249920153306
32.0 0.0250718620249
33.0 0.0249121686362
34.0 0.0240338549984
35.0 0.0241935483871
36.0 0.0245129351645
37.0 0.0243532417758
38.0 0.0241935483871
39.0 0.0238741616097
40.0 0.0233950814436
41.0 0.0229958479719
42.0 0.0222772277228
43.0 0.0209996806132
44.0 0.0208399872245
45.0 0.0205206004471
46.0 0.0198818268924
47.0 0.0191632066432
48.0 0.0182050463111
49.0 0.0174065793676
50.0 0.0163685723411
51.0 0.0152507186202
52.0 0.0133343979559
53.0 -7.98466943469e-05
54.0 0.0125359310125
55.0 0.0112583839029
56.0 0.0103800702651
57.0 0.00902267646119
58.0 0.00806451612903
59.0 0.00686681571383
60.0 0.00550942190993
61.0 0.00439156818908
e
1.0 0.00266370699223
2.0 0.00288568257492
3.0 0.00406955234924
4.0 0.00503144654088
5.0 0.006363300037
6.0 0.00710321864595
7.0 0.00799112097669
8.0 0.00895301516833
9.0 0.0102848686644
10.0 0.0115427302997
11.0 0.0125786163522
12.0 0.0136884942656
13.0 0.0147243803182
14.0 0.0156862745098
15.0 0.0166481687014
16.0 0.0170921198668
17.0 0.0178320384758
18.0 0.0193858675546
19.0 0.0199038105808
20.0 0.0206437291898
21.0 0.0213096559378
22.0 0.0220495745468
23.0 0.0224935257122
24.0 0.0228634850166
25.0 0.0225675175731
26.0 0.0231594524602
27.0 0.0238993710692
28.0 0.0243433222346
29.0 0.0245652978172
30.0 0.0246392896781
31.0 0.0247872733999
32.0 0.0247872733999
33.0 0.0242693303737
34.0 0.0236773954865
35.0 0.0241213466519
36.0 0.0242693303737
37.0 0.0241213466519
38.0 0.0238253792083
39.0 0.0234554199038
40.0 0.0230114687384
41.0 0.0224195338513
42.0 0.021235664077
43.0 0.0205697373289
44.0 0.0204217536071
45.0 0.0199038105808
46.0 0.0191638919719
47.0 0.0184239733629
48.0 0.0174620791713
49.0 0.0167221605623
50.0 0.0157602663707
51.0 0.0143544210137
52.0 0.013392526822
53.0 0.0123566407695
54.0 0.0117647058824
55.0 0.0106548279689
56.0 0.00954495005549
57.0 0.00821309655938
58.0 0.00665926748058
59.0 0.00577136514983
60.0 0.00443951165372
61.0 0.00347761746208
e
1.0 0.00271718034314
2.0 0.00271718034314
3.0 0.00326061641177
4.0 0.00419222110085
5.0 0.00535672696219
6.0 0.00659886654763
7.0 0.00760810496079
8.0 0.00846207592578
9.0 0.00954894806304
10.0 0.0110239888207
11.0 0.0122661284062
12.0 0.0132753668193
13.0 0.0143622389566
14.0 0.0159149134384
15.0 0.0162254483348
16.0 0.0169241518516
17.0 0.0172346867479
18.0 0.0183991926093
19.0 0.0194084310224
20.0 0.0202624019874
21.0 0.0209611055042
22.0 0.021659809021
23.0 0.0222032450897
24.0 0.0227466811583
25.0 0.0227466811583
26.0 0.0226690474342
27.0 0.0235230183992
28.0 0.0239888207437
29.0 0.0242993556401
30.0 0.0245322568124
31.0 0.0246875242605
32.0 0.0247651579846
33.0 0.0246875242605
34.0 0.0239111870196
35.0 0.0237559195715
36.0 0.0241440881919
37.0 0.024221721916
38.0 0.0239888207437
39.0 0.0236782858474
40.0 0.0232124835028
41.0 0.0227466811583
42.0 0.0217374427451
43.0 0.0206505706079
44.0 0.0204176694356
45.0 0.0199518670911
46.0 0.0194084310224
47.0 0.0187097275056
48.0 0.0178557565406
49.0 0.0171570530238
50.0 0.0162254483348
51.0 0.0149833087493
52.0 0.0137411691639
53.0 0.0131200993712
54.0 0.0122661284062
55.0 0.011256889993
56.0 0.0100923841317
57.0 0.00900551199441
58.0 0.00791863985715
59.0 0.00675413399581
60.0 0.00551199441037
61.0 0.00434748854903
e
1.0 0.00259599783667
2.0 0.00275824770146
3.0 0.00340724716063
4.0 0.00443482963764
5.0 0.00557057869118
6.0 0.00686857760952
7.0 0.0079502433748
8.0 0.00876149269876
9.0 0.0100054083288
10.0 0.0112493239589
11.0 0.0125473228772
12.0 0.013520822066
13.0 0.0144943212547
14.0 0.0154678204435
15.0 0.016387236344
16.0 0.0169821525149
17.0 0.0175229853975
18.0 0.0187669010276
19.0 0.0196863169281
20.0 0.020497566252
21.0 0.0212547322877
22.0 0.0219037317469
23.0 0.0224445646295
24.0 0.0229313142239
25.0 0.0226608977826
26.0 0.0230935640887
27.0 0.0238507301244
28.0 0.0242833964305
29.0 0.0244997295836
30.0 0.0247160627366
31.0 0.0247701460249
32.0 0.0247701460249
33.0 0.0245538128718
34.0 0.0236884802596
35.0 0.0240129799892
36.0 0.0242833964305
37.0 0.024175229854
38.0 0.0239588967009
39.0 0.0235262303948
40.0 0.0229853975122
41.0 0.0224986479178
42.0 0.0214169821525
43.0 0.0206057328286
44.0 0.0203893996755
45.0 0.0199567333694
46.0 0.0193077339102
47.0 0.0183883180097
48.0 0.0176852352623
49.0 0.0169280692266
50.0 0.0159545700379
51.0 0.0144943212547
52.0 0.0135749053542
53.0 0.0128718226068
54.0 0.0118983234181
55.0 0.0109248242293
56.0 0.00973499188751
57.0 0.00870740941049
58.0 0.00751757706869
59.0 0.00638182801514
60.0 0.00513791238507
61.0 0.00378583017847
e
1.0 0.00273056181309
2.0 0.0030036179944
3.0 0.003754522493
4.0 0.00477848317291
5.0 0.00607550003413
6.0 0.0072359888047
7.0 0.00819168543928
8.0 0.00901085398321
9.0 0.0105126629804
10.0 0.0122192641136
11.0 0.0129019045669
12.0 0.0137210731108
13.0 0.0146767697454
14.0 0.01563246638
15.0 0.0167929551505
16.0 0.0169977472865
17.0 0.0176121236945
18.0 0.018772612465
19.0 0.0197283090996
20.0 0.0208887978702
21.0 0.0212983821421
22.0 0.0218444945047
23.0 0.0223906068674
24.0 0.0228001911393
25.0 0.0224588709127
26.0 0.0230049832753
27.0 0.0237558877739
28.0 0.0241654720459
29.0 0.0244385282272
30.0 0.0246433203632
31.0 0.0246433203632
32.0 0.0246433203632
33.0 0.0243020001365
34.0 0.0235510956379
35.0 0.0240289439552
36.0 0.0241654720459
37.0 0.0240289439552
38.0 0.0238241518192
39.0 0.0234828315926
40.0 0.022731927094
41.0 0.0224588709127
42.0 0.0213666461875
43.0 0.0204792135982
44.0 0.0203426855075
45.0 0.0197965731449
46.0 0.0191139326917
47.0 0.0183630281931
48.0 0.0175438596491
49.0 0.0167246911052
50.0 0.0155642023346
51.0 0.0144037135641
52.0 0.0134480169295
53.0 0.0127653764762
54.0 0.0118096798416
55.0 0.0107857191617
56.0 0.00969349443648
57.0 0.00853300566592
58.0 0.00737251689535
59.0 0.00607550003413
60.0 0.00430063485562
61.0 0.00361799440235
e
1.0 0.00264111077573
2.0 0.00279203139149
3.0 0.00347117416239
4.0 0.00475399939632
5.0 0.00581044370661
6.0 0.00694234832478
7.0 0.0079233323272
8.0 0.00875339571385
9.0 0.0102626018714
10.0 0.0114699667975
11.0 0.0130546332629
12.0 0.0136583157259
13.0 0.0147147600362
14.0 0.0156957440386
15.0 0.0164503471174
16.0 0.0169785692726
17.0 0.0175067914277
18.0 0.0186386960459
19.0 0.0198460609719
20.0 0.020449743435
21.0 0.0211288862059
22.0 0.0218080289768
23.0 0.0224117114398
24.0 0.0227890129792
25.0 0.0224871717477
26.0 0.0229399335949
27.0 0.0236945366737
28.0 0.024147298521
29.0 0.0243736794446
30.0 0.0245246000604
31.0 0.0246000603682
32.0 0.0246000603682
33.0 0.0244491397525
34.0 0.023543616058
35.0 0.0238454572895
36.0 0.024147298521
37.0 0.0240718382131
38.0 0.0238454572895
39.0 0.0234681557501
40.0 0.0230153939028
41.0 0.0223362511319
42.0 0.0215816480531
43.0 0.0205252037428
44.0 0.0203742831271
45.0 0.0199215212798
46.0 0.0193178388168
47.0 0.018563235738
48.0 0.0178086326592
49.0 0.0168276486568
50.0 0.016073045578
51.0 0.014261998189
52.0 0.0136583157259
53.0 0.0127527920314
54.0 0.0118472683369
55.0 0.0109417446423
56.0 0.00980984002415
57.0 0.00875339571385
58.0 0.00769695140356
59.0 0.00633866586176
60.0 0.00520676124359
61.0 0.00369755508602
e
1.0 0.00274602938994
2.0 0.00289446341101
3.0 0.00371085052694
4.0 0.00504675671664
5.0 0.00593736084311
6.0 0.00705061600119
7.0 0.00816387115927
8.0 0.00905447528574
9.0 0.0105388154965
10.0 0.0117262876651
11.0 0.0127653258127
12.0 0.0137301469497
13.0 0.0147691850972
14.0 0.0157340062342
15.0 0.0166246103607
16.0 0.0169956954134
17.0 0.0177378655188
18.0 0.0189995546979
19.0 0.0198159418139
20.0 0.0206323289298
21.0 0.0214487160457
22.0 0.0219682351195
23.0 0.0224135371827
24.0 0.0227846222354
25.0 0.0225619712038
26.0 0.0232299242986
27.0 0.023823660383
28.0 0.0241205284251
29.0 0.0243431794567
30.0 0.0244916134778
31.0 0.0246400474989
32.0 0.0245658304883
33.0 0.0241947454357
34.0 0.0236010093513
35.0 0.0240463114146
36.0 0.0242689624462
37.0 0.0241947454357
38.0 0.0238978773935
39.0 0.0235267923408
40.0 0.023007273267
41.0 0.0224877541933
42.0 0.0213744990352
43.0 0.0206323289298
44.0 0.0204096778982
45.0 0.0198901588244
46.0 0.019147988719
47.0 0.0184800356242
48.0 0.0175894314977
49.0 0.0166988273712
50.0 0.0155113552026
51.0 0.0141754490129
52.0 0.013359061897
53.0 0.0126911088021
54.0 0.0112809856019
55.0 0.0106872495176
56.0 0.00957399435951
57.0 0.00846073920142
58.0 0.00734748404334
59.0 0.00586314383257
60.0 0.00489832269556
61.0 0.0036366335164
e
1.0 0.00273463137169
2.0 0.00295340188143
3.0 0.00382848392037
4.0 0.00492233646904
5.0 0.00612557427259
6.0 0.0071100415664
7.0 0.00820389411507
8.0 0.00907897615401
9.0 0.0103915992124
10.0 0.0117042222708
11.0 0.0127980748195
12.0 0.0141106978779
13.0 0.014876394662
14.0 0.0158608619558
15.0 0.0167359439947
16.0 0.0170640997594
17.0 0.0179391817983
18.0 0.019033034347
19.0 0.0200175016408
20.0 0.0207831984249
21.0 0.0215488952089
22.0 0.0219864362284
23.0 0.0225333625027
24.0 0.0227521330125
25.0 0.022314591993
26.0 0.0230802887771
27.0 0.0237366003063
28.0 0.0241741413257
29.0 0.0243929118355
30.0 0.0246116823452
31.0 0.0247210676001
32.0 0.0247210676001
33.0 0.0242835265806
34.0 0.0235178297965
35.0 0.0238459855611
36.0 0.0238459855611
37.0 0.0237366003063
38.0 0.0234084445417
39.0 0.0230802887771
40.0 0.0226427477576
41.0 0.0222052067381
42.0 0.0210019689346
43.0 0.0203456574054
44.0 0.0201268868956
45.0 0.0196893458762
46.0 0.0188142638372
47.0 0.0183767228178
48.0 0.0176110260337
49.0 0.0168453292496
50.0 0.0159702472107
51.0 0.0144388536425
52.0 0.0137825421133
53.0 0.0130168453292
54.0 0.0119229927806
55.0 0.0108291402319
56.0 0.00962590242835
57.0 0.00853204987968
58.0 0.00732881207613
59.0 0.00612557427259
60.0 0.00470356595931
61.0 0.00350032815576
e
1.0 0.00111962286388
2.0 0.00135533294048
3.0 0.00200353565115
4.0 0.00265173836181
5.0 0.00359457866824
6.0 0.00483205657042
7.0 0.0060695344726
8.0 0.00718915733648
9.0 0.00819092516205
10.0 0.00913376546847
11.0 0.0106658809664
12.0 0.0117855038303
13.0 0.0129051266942
14.0 0.0139068945197
15.0 0.0149086623453
16.0 0.0159104301709
17.0 0.0167943429582
18.0 0.0172068355922
19.0 0.017913965822
20.0 0.0190925162051
21.0 0.0200353565115
22.0 0.0208014142605
23.0 0.021390689452
24.0 0.0220388921626
25.0 0.0225103123159
26.0 0.0228049499116
27.0 0.0226281673542
28.0 0.0232763700648
29.0 0.0239835002946
30.0 0.0244549204478
31.0 0.0246906305245
32.0 0.0248084855628
33.0 0.0248674130819
34.0 0.0248674130819
35.0 0.0243959929287
36.0 0.0238656452563
37.0 0.0242781378904
38.0 0.0243370654095
39.0 0.0241013553329
40.0 0.0238067177372
41.0 0.0234531526223
42.0 0.0230406599882
43.0 0.022569239835
44.0 0.0214496169711
45.0 0.0208014142605
46.0 0.0205657041839
47.0 0.019858573954
48.0 0.0192103712434
49.0 0.0185032410136
50.0 0.0176782557454
51.0 0.016735415439
52.0 0.0157336476134
53.0 0.0144961697113
54.0 0.0136711844431
55.0 0.0129051266942
56.0 0.0118444313494
57.0 0.0108426635239
58.0 0.00966411314084
59.0 0.00854449027696
60.0 0.00730701237478
61.0 0.0059516794343
e
1.0 0.00246173126846
2.0 0.00277504252081
3.0 0.00380449377853
4.0 0.00456539253424
5.0 0.00572912004297
6.0 0.00707188255304
7.0 0.00787754005908
8.0 0.00904126756781
9.0 0.0101154775759
10.0 0.0114134813356
11.0 0.0127562438457
12.0 0.0138304538537
13.0 0.0149941813625
14.0 0.0157103213678
15.0 0.0165607376242
16.0 0.0171426013786
17.0 0.0178587413839
18.0 0.0189777101423
19.0 0.019872885149
20.0 0.0206785426551
21.0 0.0214842001611
22.0 0.0220660639155
23.0 0.0226031689195
24.0 0.0228717214215
25.0 0.0226479276699
26.0 0.0231850326739
27.0 0.0237668964283
28.0 0.0241249664309
29.0 0.0243040014323
30.0 0.024527795184
31.0 0.024662071435
32.0 0.0247068301853
33.0 0.0242144839316
34.0 0.0237221376779
35.0 0.0240354489303
36.0 0.0240354489303
37.0 0.0239906901799
38.0 0.0236773789276
39.0 0.0233640676752
40.0 0.0228717214215
41.0 0.0222898576672
42.0 0.0213946826605
43.0 0.0206337839048
44.0 0.0204099901531
45.0 0.0199176438994
46.0 0.019067227643
47.0 0.0184853638886
48.0 0.0175901888819
49.0 0.0167845313759
50.0 0.0158893563692
51.0 0.0144123176081
52.0 0.0136514188524
53.0 0.012666726345
54.0 0.011861068839
55.0 0.0108316175812
56.0 0.0095336138215
57.0 0.00832512756244
58.0 0.00734043505505
59.0 0.00622146629666
60.0 0.00505773878793
61.0 0.00353594127652
e
1.0 0.00233037069152
2.0 0.0025471493605
3.0 0.00336006936917
4.0 0.00444396271407
5.0 0.00563624539345
6.0 0.00672013873835
7.0 0.007749837416
8.0 0.00867114675916
9.0 0.0101344027748
10.0 0.0114350747886
11.0 0.0125731628008
12.0 0.0139822241491
13.0 0.0147409494906
14.0 0.015716453501
15.0 0.0165835681769
16.0 0.0170171255148
17.0 0.017721656189
18.0 0.0188597442012
19.0 0.0197810535443
20.0 0.0206481682202
21.0 0.0212985042272
22.0 0.0218946455669
23.0 0.0224907869066
24.0 0.0227617602428
25.0 0.0224365922393
26.0 0.0231411229135
27.0 0.0237914589204
28.0 0.0241708215912
29.0 0.0243876002601
30.0 0.0246043789291
31.0 0.0246585735964
32.0 0.0247127682636
33.0 0.0244417949274
34.0 0.0236288749187
35.0 0.0240624322567
36.0 0.0241708215912
37.0 0.0241166269239
38.0 0.0238456535877
39.0 0.023466290917
40.0 0.0229785389118
41.0 0.0224907869066
42.0 0.0214610882289
43.0 0.0206481682202
44.0 0.0205397788858
45.0 0.0200520268806
46.0 0.0192391068719
47.0 0.0186429655322
48.0 0.0178300455235
49.0 0.0169629308476
50.0 0.0160416215044
51.0 0.0144699761543
52.0 0.0137112508129
53.0 0.0129525254715
54.0 0.0119228267938
55.0 0.0108389334489
56.0 0.00970084543681
57.0 0.00861695209191
58.0 0.00747886407977
59.0 0.00623238673315
60.0 0.00476913071754
61.0 0.00368523737264
e
1.0 0.002233709873
2.0 0.00287191269385
3.0 0.00376539664305
4.0 0.00478652115642
5.0 0.00612674708022
6.0 0.00733933243985
7.0 0.00829663667113
8.0 0.00912630033825
9.0 0.0106579871083
10.0 0.0123173144425
11.0 0.0130193375455
12.0 0.0138490012126
13.0 0.0148063054439
14.0 0.0157636096752
15.0 0.0168485544706
16.0 0.017103835599
17.0 0.0178058587019
18.0 0.0189546237794
19.0 0.0198481077286
20.0 0.0209330525241
21.0 0.0213159742166
22.0 0.0218265364733
23.0 0.02233709873
24.0 0.0227200204225
25.0 0.0225285595762
26.0 0.023102942115
27.0 0.0237411449359
28.0 0.0241878869105
29.0 0.0244431680388
30.0 0.024570808603
31.0 0.0246346288851
32.0 0.0246346288851
33.0 0.0242517071925
34.0 0.0236773246538
35.0 0.0239964260642
36.0 0.0240602463463
37.0 0.0238687855
38.0 0.0235496840896
39.0 0.0232305826792
40.0 0.0225923798583
41.0 0.02233709873
42.0 0.0213159742166
43.0 0.0206777713957
44.0 0.0203586699853
45.0 0.0198481077286
46.0 0.0190822643436
47.0 0.0183802412407
48.0 0.0175505775736
49.0 0.0166570936244
50.0 0.0155083285468
51.0 0.0144233837514
52.0 0.0135298998022
53.0 0.0127640564171
54.0 0.0118067521858
55.0 0.0107218073904
56.0 0.00963686259493
57.0 0.00842427723531
58.0 0.00733933243985
59.0 0.00606292679814
60.0 0.00427595889974
61.0 0.0035739357968
e
1.0 0.00283085633404
2.0 0.00326637269312
3.0 0.00424628450106
4.0 0.00544395448854
5.0 0.00664162447602
6.0 0.00767597582884
7.0 0.00860144809189
8.0 0.0096902389896
9.0 0.0110512276117
10.0 0.0122488975992
11.0 0.013283248952
12.0 0.0145897980293
13.0 0.0152975121128
14.0 0.0162774239207
15.0 0.0170395775491
16.0 0.0173662148184
17.0 0.0184005661713
18.0 0.0194349175241
19.0 0.0201970711525
20.0 0.0210136643258
21.0 0.0216669388644
22.0 0.0222113343132
23.0 0.0227012902172
24.0 0.0226468506723
25.0 0.0226468506723
26.0 0.0234090043007
27.0 0.0238989602047
28.0 0.024225597474
29.0 0.0244433556535
30.0 0.0245522347433
31.0 0.0246066742882
32.0 0.0246066742882
33.0 0.0238989602047
34.0 0.0236812020252
35.0 0.0240078392945
36.0 0.0238445206598
37.0 0.0236812020252
38.0 0.0233545647558
39.0 0.0230279274865
40.0 0.0225379715826
41.0 0.0219935761337
42.0 0.0207959061462
43.0 0.020414829332
44.0 0.0201426316076
45.0 0.0195437966139
46.0 0.0186183243508
47.0 0.018073928902
48.0 0.0172028961838
49.0 0.0162774239207
50.0 0.015188633023
51.0 0.0138276444009
52.0 0.0132288094072
53.0 0.012357776689
54.0 0.0112145462464
55.0 0.0101801948936
56.0 0.00903696445098
57.0 0.00794817355327
58.0 0.00680494311068
59.0 0.0056072731232
60.0 0.00413740541129
61.0 0.00315749360335
e
1.0 0.00269459555646
2.0 0.00284711983324
3.0 0.00350805836596
4.0 0.0047790940058
5.0 0.00584676394326
6.0 0.00691443388073
7.0 0.00798210381819
8.0 0.00879556662769
9.0 0.0102699679699
10.0 0.0114901621841
11.0 0.0131679292287
12.0 0.0137780263359
13.0 0.0148456962733
14.0 0.0158625247852
15.0 0.0166251461691
16.0 0.017133560425
17.0 0.017641974681
18.0 0.0188621688952
19.0 0.0200315216839
20.0 0.0205907773654
21.0 0.0213025573237
22.0 0.0219634958564
23.0 0.0225735929635
24.0 0.0229294829427
25.0 0.0225735929635
26.0 0.0230311657939
27.0 0.0238446286034
28.0 0.0242513600081
29.0 0.0244038842849
30.0 0.0245564085617
31.0 0.0246580914129
32.0 0.0247089328385
33.0 0.0244547257105
34.0 0.0235395800498
35.0 0.023895470029
36.0 0.0240479943058
37.0 0.023895470029
38.0 0.023641262901
39.0 0.0232345314963
40.0 0.0227769586659
41.0 0.0221668615588
42.0 0.0213533987493
43.0 0.0204890945142
44.0 0.0202857288118
45.0 0.0198789974071
46.0 0.0193197417256
47.0 0.0186079617672
48.0 0.0177944989578
49.0 0.0167268290203
50.0 0.0159642076364
51.0 0.014133916315
52.0 0.0135746606335
53.0 0.0126595149728
54.0 0.0116935278865
55.0 0.0108292236514
56.0 0.00965987086278
57.0 0.00864304235091
58.0 0.00747368956226
59.0 0.00615181249682
60.0 0.00508414255936
61.0 0.00355889979155
e
1.0 0.00231404958678
2.0 0.00257851239669
3.0 0.00363636363636
4.0 0.00442975206612
5.0 0.00568595041322
6.0 0.00700826446281
7.0 0.00786776859504
8.0 0.00899173553719
9.0 0.0100495867769
10.0 0.0114380165289
11.0 0.012694214876
12.0 0.0137520661157
13.0 0.0149421487603
14.0 0.0156033057851
15.0 0.0164628099174
16.0 0.0171239669421
17.0 0.0177851239669
18.0 0.0189090909091
19.0 0.0197685950413
20.0 0.0206280991736
21.0 0.0213553719008
22.0 0.0219504132231
23.0 0.022479338843
24.0 0.0228099173554
25.0 0.0226115702479
26.0 0.0232066115702
27.0 0.023867768595
28.0 0.0242644628099
29.0 0.0244628099174
30.0 0.0246611570248
31.0 0.0247933884298
32.0 0.0247933884298
33.0 0.0243966942149
34.0 0.023867768595
35.0 0.024132231405
36.0 0.0240661157025
37.0 0.024
38.0 0.0236033057851
39.0 0.0233388429752
40.0 0.0228760330579
41.0 0.0222809917355
42.0 0.0214876033058
43.0 0.0206280991736
44.0 0.0204958677686
45.0 0.0199669421488
46.0 0.0192396694215
47.0 0.0185785123967
48.0 0.0177190082645
49.0 0.0168595041322
50.0 0.0159338842975
51.0 0.0144132231405
52.0 0.0136198347107
53.0 0.012694214876
54.0 0.0119008264463
55.0 0.0108429752066
56.0 0.0095867768595
57.0 0.0083305785124
58.0 0.00740495867769
59.0 0.00621487603306
60.0 0.00502479338843
61.0 0.00357024793388
e
1.0 0.00287686996548
2.0 0.00309263521289
3.0 0.00395569620253
4.0 0.00503452243959
5.0 0.00618527042578
6.0 0.00726409666283
7.0 0.00841484464902
8.0 0.00956559263521
9.0 0.0107882623705
10.0 0.012082853855
11.0 0.0128020713464
12.0 0.0139528193326
13.0 0.0148878020713
14.0 0.0158227848101
15.0 0.0166858457998
16.0 0.0169735327963
17.0 0.0177646720368
18.0 0.0189873417722
19.0 0.0198504027618
20.0 0.0205696202532
21.0 0.0212888377445
22.0 0.022079976985
23.0 0.0224395857307
24.0 0.0227272727273
25.0 0.0224395857307
26.0 0.0231588032221
27.0 0.0238060989643
28.0 0.02416570771
29.0 0.0244533947066
30.0 0.024669159954
31.0 0.0247410817031
32.0 0.0248130034522
33.0 0.0242376294591
34.0 0.0236622554661
35.0 0.0240218642117
36.0 0.0240937859609
37.0 0.0238060989643
38.0 0.0234464902186
39.0 0.023086881473
40.0 0.0227272727273
41.0 0.0222238204833
42.0 0.0209292289988
43.0 0.020497698504
44.0 0.0202819332566
45.0 0.0197784810127
46.0 0.0190592635213
47.0 0.0183400460299
48.0 0.0175489067894
49.0 0.0166858457998
50.0 0.0156789413119
51.0 0.01416858458
52.0 0.0134493670886
53.0 0.0126582278481
54.0 0.011579401611
55.0 0.0105724971231
56.0 0.00942174913694
57.0 0.00827100115075
58.0 0.00719217491369
59.0 0.00596950517837
60.0 0.00474683544304
61.0 0.00352416570771
e
1.0 0.00274931267183
2.0 0.00291593768225
3.0 0.00366575022911
4.0 0.0047488127968
5.0 0.0059151878697
6.0 0.0071648754478
7.0 0.00808131300508
8.0 0.00899775056236
9.0 0.0103307506457
10.0 0.011663750729
11.0 0.0128301258019
12.0 0.0138298758644
13.0 0.0149129384321
14.0 0.016495876031
15.0 0.0167458135466
16.0 0.0170790635674
17.0 0.0177455636091
18.0 0.0189952511872
19.0 0.0199116887445
20.0 0.0205781887861
21.0 0.021328001333
22.0 0.0219111888694
23.0 0.0224943764059
24.0 0.0228276264267
25.0 0.0224943764059
26.0 0.0230775639423
27.0 0.023744063984
28.0 0.0240773140048
29.0 0.0242439390152
30.0 0.0244105640257
31.0 0.0245771890361
32.0 0.0245771890361
33.0 0.0243272515205
34.0 0.0236607514788
35.0 0.0240773140048
36.0 0.0242439390152
37.0 0.0240773140048
38.0 0.023744063984
39.0 0.0234941264684
40.0 0.0229942514371
41.0 0.0224943764059
42.0 0.0209947513122
43.0 0.0204948762809
44.0 0.0203282512705
45.0 0.0196617512289
46.0 0.0190785636924
47.0 0.0184120636508
48.0 0.0175789385987
49.0 0.0168291260518
50.0 0.0158293759893
51.0 0.0142464383904
52.0 0.0134133133383
53.0 0.0126635007915
54.0 0.0118303757394
55.0 0.0106640006665
56.0 0.00958093809881
57.0 0.00849787553112
58.0 0.00733150045822
59.0 0.00608181288011
60.0 0.0047488127968
61.0 0.0034991252187
e
1.0 0.00187837520545
2.0 0.00234796900681
3.0 0.00369805118572
4.0 0.00469593801362
5.0 0.00598732096736
6.0 0.00675041089458
7.0 0.00780699694764
8.0 0.00874618455036
9.0 0.00992016905377
10.0 0.0112702512327
11.0 0.0123268372857
12.0 0.013442122564
13.0 0.014498708617
14.0 0.0154378962198
15.0 0.0164357830477
16.0 0.0171401737497
17.0 0.0176097675511
18.0 0.0191359474055
19.0 0.0197229396572
20.0 0.0204273303592
21.0 0.0211317210613
22.0 0.0217774125382
23.0 0.0223057055647
24.0 0.022775299366
25.0 0.0226579009157
26.0 0.022775299366
27.0 0.0235970885184
28.0 0.0240079830946
29.0 0.0241840807701
30.0 0.0244188776708
31.0 0.024477576896
32.0 0.0245949753463
33.0 0.024477576896
34.0 0.0237731861939
35.0 0.0238318854191
36.0 0.0240079830946
37.0 0.0238905846443
38.0 0.0235970885184
39.0 0.0233035923926
40.0 0.0230100962667
41.0 0.0224818032402
42.0 0.0218361117633
43.0 0.0206621272599
44.0 0.0205447288096
45.0 0.0201925334586
46.0 0.0195468419817
47.0 0.0187837520545
48.0 0.0178445644517
49.0 0.0171401737497
50.0 0.0162596853722
51.0 0.0150857008687
52.0 0.013794317915
53.0 0.0128551303123
54.0 0.0122094388354
55.0 0.0112115520075
56.0 0.0101549659544
57.0 0.00874618455036
58.0 0.00722000469594
59.0 0.00639821554355
60.0 0.00504813336464
61.0 0.00410894576192
e
1.0 0.00182642224176
2.0 0.00243522965569
3.0 0.00365284448353
4.0 0.00439694243388
5.0 0.00561455726172
6.0 0.00696746262599
7.0 0.00784685111276
8.0 0.00892917540418
9.0 0.00994385442738
10.0 0.0112291145234
11.0 0.0125820198877
12.0 0.0136643441791
13.0 0.014881959007
14.0 0.0155584116891
15.0 0.0163701549077
16.0 0.0171818981262
17.0 0.0175877697355
18.0 0.0186700940269
19.0 0.0196847730501
20.0 0.0204288710005
21.0 0.021240614219
22.0 0.021849421633
23.0 0.0223905837787
24.0 0.0227288101197
25.0 0.0226611648515
26.0 0.0228641006562
27.0 0.0234729080701
28.0 0.0238787796794
29.0 0.024081715484
30.0 0.0242846512886
31.0 0.0244875870933
32.0 0.0245552323615
33.0 0.0244199418251
34.0 0.0237434891429
35.0 0.0237434891429
36.0 0.0238787796794
37.0 0.0238787796794
38.0 0.0235405533383
39.0 0.0233376175337
40.0 0.0229317459244
41.0 0.0224582290469
42.0 0.021849421633
43.0 0.0206318068051
44.0 0.0204965162687
45.0 0.0201582899276
46.0 0.0193465467091
47.0 0.0187377392951
48.0 0.0178583508084
49.0 0.0170466075898
50.0 0.0162348643712
51.0 0.014881959007
52.0 0.0138672799838
53.0 0.012987891497
54.0 0.0122437935466
55.0 0.0111614692552
56.0 0.00994385442738
57.0 0.00872623959954
58.0 0.00777920584455
59.0 0.00662923628492
60.0 0.00547926672529
61.0 0.00405871609281
e
1.0 0.00287982018684
2.0 0.00309053873709
3.0 0.00400365245487
4.0 0.00505724520615
5.0 0.00618107747419
6.0 0.00737514925897
7.0 0.00828826297675
8.0 0.00913113717778
9.0 0.0103252089626
10.0 0.0117299992976
11.0 0.0129943105991
12.0 0.0138371848002
13.0 0.0147502985179
14.0 0.0157336517525
15.0 0.0166467654703
16.0 0.0170682025708
17.0 0.0176301187048
18.0 0.0187539509728
19.0 0.0197373042073
20.0 0.0205099388916
21.0 0.0214230526094
22.0 0.0217742501932
23.0 0.0223361663272
24.0 0.0227576034277
25.0 0.0224064058439
26.0 0.0230385614947
27.0 0.0237409566622
28.0 0.024092154246
29.0 0.024373112313
30.0 0.0244433518297
31.0 0.0245135913465
32.0 0.0245838308632
33.0 0.0241623937627
34.0 0.0233897590785
35.0 0.0238814356957
36.0 0.0239516752125
37.0 0.023811196179
38.0 0.023530238112
39.0 0.023249280045
40.0 0.0228980824612
41.0 0.0224064058439
42.0 0.0212825735759
43.0 0.0205099388916
44.0 0.0203694598581
45.0 0.0198777832409
46.0 0.0192456275901
47.0 0.0185432324226
48.0 0.0176301187048
49.0 0.0168574840205
50.0 0.0158038912692
51.0 0.0143991009342
52.0 0.0134859872164
53.0 0.0127835920489
54.0 0.0118002388144
55.0 0.0107466460631
56.0 0.00955257427829
57.0 0.00849898152701
58.0 0.00737514925897
59.0 0.00625131699094
60.0 0.00491676617265
61.0 0.00358221535436
e
1.0 0.00264657980456
2.0 0.00295195439739
3.0 0.00366449511401
4.0 0.00468241042345
5.0 0.00590390879479
6.0 0.00722719869707
7.0 0.00824511400651
8.0 0.00905944625407
9.0 0.0103827361564
10.0 0.0116042345277
11.0 0.012825732899
12.0 0.0137418566775
13.0 0.014759771987
14.0 0.0156758957655
15.0 0.016592019544
16.0 0.0168973941368
17.0 0.0176099348534
18.0 0.0187296416938
19.0 0.0196457654723
20.0 0.0203583061889
21.0 0.0209690553746
22.0 0.0215798045603
23.0 0.022088762215
24.0 0.0224959283388
25.0 0.0221905537459
26.0 0.0231066775244
27.0 0.023921009772
28.0 0.0243281758958
29.0 0.0246335504886
30.0 0.0247353420195
31.0 0.0248371335505
32.0 0.0248371335505
33.0 0.0244299674267
34.0 0.0236156351792
35.0 0.0240228013029
36.0 0.0242263843648
37.0 0.0240228013029
38.0 0.023819218241
39.0 0.0234120521173
40.0 0.0229030944625
41.0 0.0223941368078
42.0 0.0211726384365
43.0 0.0206636807818
44.0 0.0204600977199
45.0 0.0200529315961
46.0 0.0193403908795
47.0 0.0185260586319
48.0 0.0178135179153
49.0 0.0169991856678
50.0 0.0159812703583
51.0 0.0143526058632
52.0 0.0135382736156
53.0 0.012825732899
54.0 0.0118078175896
55.0 0.0106881107492
56.0 0.00956840390879
57.0 0.0084486970684
58.0 0.00732899022801
59.0 0.00620928338762
60.0 0.00488599348534
61.0 0.00356270358306
e
1.0 0.00185029436501
2.0 0.0026913372582
3.0 0.00375665825624
4.0 0.00499018783291
5.0 0.00616764788338
6.0 0.00740117746005
7.0 0.00824222035324
8.0 0.00930754135128
9.0 0.0106532099804
10.0 0.0118306700308
11.0 0.0128959910289
12.0 0.0139052425007
13.0 0.0149144939725
14.0 0.0159798149706
15.0 0.0169329969162
16.0 0.0172133445472
17.0 0.0180543874404
18.0 0.0191757779647
19.0 0.0200728903841
20.0 0.0208578637511
21.0 0.0214746285394
22.0 0.0220913933277
23.0 0.0226520885899
24.0 0.0228202971685
25.0 0.0226520885899
26.0 0.0234370619568
27.0 0.0240538267452
28.0 0.0243902439024
29.0 0.0245584524811
30.0 0.0247266610597
31.0 0.0247827305859
32.0 0.0247266610597
33.0 0.0242220353238
34.0 0.0237734791141
35.0 0.0240538267452
36.0 0.0240538267452
37.0 0.0237734791141
38.0 0.023493131483
39.0 0.0231567143258
40.0 0.0227081581161
41.0 0.0222596019064
42.0 0.0210821418559
43.0 0.02057751612
44.0 0.0202971684889
45.0 0.0197364732268
46.0 0.0190636389123
47.0 0.0182786655453
48.0 0.0174376226521
49.0 0.0165405102327
50.0 0.0154191197084
51.0 0.0141855901318
52.0 0.0134006167648
53.0 0.012671712924
54.0 0.0115503223998
55.0 0.0104289318755
56.0 0.00936361087749
57.0 0.00829828987945
58.0 0.00712082982899
59.0 0.00588730025231
60.0 0.00454163162321
61.0 0.00336417157275
e
1.0 0.00214791310715
2.0 0.00288015621186
3.0 0.00385648035148
4.0 0.00497925311203
5.0 0.00619965828655
6.0 0.00742006346107
7.0 0.00839638760068
8.0 0.0093727117403
9.0 0.0106419331218
10.0 0.0117647058824
11.0 0.0129851110569
12.0 0.0139614351965
13.0 0.0149865755431
14.0 0.0159140834757
15.0 0.0167439589944
16.0 0.0171344886502
17.0 0.0181108127898
18.0 0.0191359531364
19.0 0.0199658286551
20.0 0.0206980717598
21.0 0.0214303148645
22.0 0.0220161093483
23.0 0.0225042714181
24.0 0.022699536246
25.0 0.0225530876251
26.0 0.0234317793507
27.0 0.0240175738345
28.0 0.0243592872834
29.0 0.0246033683183
30.0 0.0247986331462
31.0 0.0248962655602
32.0 0.0248474493532
33.0 0.0243104710764
34.0 0.0238711252136
35.0 0.0241152062485
36.0 0.0241152062485
37.0 0.0238223090066
38.0 0.0235782279717
39.0 0.0231388821089
40.0 0.022699536246
41.0 0.0220649255553
42.0 0.0210397852087
43.0 0.0206980717598
44.0 0.0204051745179
45.0 0.0198681962412
46.0 0.0190871369295
47.0 0.0181596289968
48.0 0.0174762020991
49.0 0.0166463265804
50.0 0.0154747376129
51.0 0.0141078838174
52.0 0.0133756407127
53.0 0.012545765194
54.0 0.0115206248474
55.0 0.0104954845009
56.0 0.00927507932634
57.0 0.00820112277276
58.0 0.00693190139126
59.0 0.00580912863071
60.0 0.00449109104223
61.0 0.00322186966073
e
1.0 0.00163107947805
2.0 0.00227362593911
3.0 0.00336101225781
4.0 0.00449782522736
5.0 0.00538750494267
6.0 0.00667259786477
7.0 0.00771055753262
8.0 0.00884737050217
9.0 0.0103301700277
10.0 0.0116152629498
11.0 0.0127520759193
12.0 0.0135923289838
13.0 0.0147291419533
14.0 0.0157671016212
15.0 0.0166567813365
16.0 0.0172499011467
17.0 0.018139580862
18.0 0.0192269671807
19.0 0.020116646896
20.0 0.0209074733096
21.0 0.0215500197707
22.0 0.0221925662317
23.0 0.0227856860419
24.0 0.023082245947
25.0 0.0230328192962
26.0 0.023428232503
27.0 0.0241202056149
28.0 0.0245156188217
29.0 0.0247133254251
30.0 0.0249110320285
31.0 0.0250098853302
32.0 0.025059311981
33.0 0.0247133254251
34.0 0.0241696322657
35.0 0.0245156188217
36.0 0.0246144721234
37.0 0.02441676552
38.0 0.0241202056149
39.0 0.0237742190589
40.0 0.0233293792013
41.0 0.0228351126928
42.0 0.0218960063266
43.0 0.021105179913
44.0 0.0207591933571
45.0 0.0204132068011
46.0 0.0197212336892
47.0 0.0190292605773
48.0 0.0181890075129
49.0 0.0172993277975
50.0 0.0161130881771
51.0 0.0150751285093
52.0 0.0131474891261
53.0 0.0
54.0 0.0122578094108
55.0 0.0110221431396
56.0 0.0100336101226
57.0 0.00864966389877
58.0 0.00766113088177
59.0 0.00637603795967
60.0 0.00504151838671
61.0 0.00385527876631
e
1.0 0.00434290030211
2.0 0.0054003021148
3.0 0.00641993957704
4.0 0.00755287009063
5.0 0.00861027190332
6.0 0.00985649546828
7.0 0.0111404833837
8.0 0.0121223564955
9.0 0.0134063444109
10.0 0.0149546827795
11.0 0.0155589123867
12.0 0.0163519637462
13.0 0.0170317220544
14.0 0.0174093655589
15.0 0.0188444108761
16.0 0.0194864048338
17.0 0.0202416918429
18.0 0.0209592145015
19.0 0.0216012084592
20.0 0.0224320241692
21.0 0.0226963746224
22.0 0.0226963746224
23.0 0.0226208459215
24.0 0.0234894259819
25.0 0.0239425981873
26.0 0.0242447129909
27.0 0.0243957703927
28.0 0.0245090634441
29.0 0.024584592145
30.0 0.0244335347432
31.0 0.0238670694864
32.0 0.023753776435
33.0 0.0239803625378
34.0 0.0239048338369
35.0 0.0236782477341
36.0 0.0233761329305
37.0 0.022998489426
38.0 0.0225453172205
39.0 0.0219410876133
40.0 0.0206193353474
41.0 0.0205438066465
42.0 0.0202039274924
43.0 0.0196374622356
44.0 0.0188821752266
45.0 0.0180891238671
46.0 0.0172205438066
47.0 0.0163897280967
48.0 0.0152190332326
49.0 0.0139728096677
50.0 0.0131042296073
51.0 0.0123489425982
52.0 0.0112915407855
53.0 0.0103096676737
54.0 0.00917673716012
55.0 0.00804380664653
56.0 0.00691087613293
57.0 0.00570241691843
58.0 0.00449395770393
59.0 0.00317220543807
60.0 0.00192598187311
61.0 0.00135951661631
e
1.0 0.00140456240616
2.0 0.00198576064319
3.0 0.00280912481232
4.0 0.00397152128639
5.0 0.00518235094687
6.0 0.00649004698019
7.0 0.00779774301351
8.0 0.00847580762338
9.0 0.00958977091103
10.0 0.0108974669444
11.0 0.0120598634184
12.0 0.0131253935196
13.0 0.0141909236209
14.0 0.0152080205357
15.0 0.0162251174505
16.0 0.0171453479924
17.0 0.0174843802974
18.0 0.0185014772122
19.0 0.0194701409406
20.0 0.0203419382961
21.0 0.0210684360924
22.0 0.0216980675159
23.0 0.0223276989393
24.0 0.0228120308035
25.0 0.0230057635492
26.0 0.0229088971763
27.0 0.0237322613455
28.0 0.0244103259553
29.0 0.0247493582603
30.0 0.0249915241924
31.0 0.0251368237516
32.0 0.0252336901245
33.0 0.0251852569381
34.0 0.0245071923282
35.0 0.0242650263961
36.0 0.0245071923282
37.0 0.0243618927689
38.0 0.0242165932097
39.0 0.0239259940912
40.0 0.0235385285998
41.0 0.0230057635492
42.0 0.0226182980578
43.0 0.0215527679566
44.0 0.0210684360924
45.0 0.0206809706011
46.0 0.0200513391776
47.0 0.0190342422628
48.0 0.0184530440258
49.0 0.0176781130431
50.0 0.0168063156875
51.0 0.0157407855863
52.0 0.0141424904344
53.0 0.0128832275875
54.0 0.0
55.0 0.0115755315542
56.0 0.0104131350802
57.0 0.00954133772461
58.0 0.00808834213203
59.0 0.00716811159006
60.0 0.00586041555674
61.0 0.00469801908268
e
1.0 0.00206516750803
2.0 0.00263882514915
3.0 0.00355667737494
4.0 0.00464662689307
5.0 0.00602340523176
6.0 0.00705598898577
7.0 0.0081459385039
8.0 0.00923588802203
9.0 0.010268471776
10.0 0.0115305185865
11.0 0.0126778338687
12.0 0.013825149151
13.0 0.0146856356127
14.0 0.0156608536026
15.0 0.0165787058284
16.0 0.0170949977054
17.0 0.017955484167
18.0 0.0191027994493
19.0 0.0197911886186
20.0 0.0206516750803
21.0 0.0211679669573
22.0 0.0218563561267
23.0 0.0222579164754
24.0 0.0226594768242
25.0 0.0224873795319
26.0 0.0230036714089
27.0 0.0236346948141
28.0 0.024093620927
29.0 0.0243230839835
30.0 0.0244951812758
31.0 0.024609912804
32.0 0.0246672785682
33.0 0.0243804497476
34.0 0.0238067921065
35.0 0.0241509866911
36.0 0.0242657182194
37.0 0.024093620927
38.0 0.0237494263424
39.0 0.0234625975218
40.0 0.023061037173
41.0 0.0224300137678
42.0 0.0211679669573
43.0 0.0208237723726
44.0 0.0205943093162
45.0 0.0201353832033
46.0 0.019446994034
47.0 0.0183570445158
48.0 0.0174965580542
49.0 0.0169802661771
50.0 0.015890316659
51.0 0.0145709040844
52.0 0.0136530518587
53.0 0.012792565397
54.0 0.0118173474071
55.0 0.0104405690684
56.0 0.00946535107848
57.0 0.00849013308857
58.0 0.00734281780633
59.0 0.00602340523176
60.0 0.00493345571363
61.0 0.00372877466728
e
1.0 0.00308324768756
2.0 0.00316889345666
3.0 0.00393970537855
4.0 0.00496745460774
5.0 0.00608084960603
6.0 0.00770811921891
7.0 0.0084789311408
8.0 0.00933538883179
9.0 0.0108770126756
10.0 0.0122473449812
11.0 0.0133607399794
12.0 0.0144741349777
13.0 0.0155018842069
14.0 0.0166152792052
15.0 0.0
16.0 0.0178143199726
17.0 0.0187564234327
18.0 0.0205549845838
19.0 0.0208119218911
20.0 0.021668379582
21.0 0.0226961288112
22.0 0.0
23.0 0.0234669407331
24.0 0.0237238780404
25.0 0.0232100034258
26.0 0.0239808153477
27.0 0.0247516272696
28.0 0.0252655018842
29.0 0.0255224391915
30.0 0.0256937307297
31.0 0.0257793764988
32.0 0.0256937307297
33.0 0.025094210346
34.0 0.0244090441932
35.0 0.0249229188078
36.0 0.0250085645769
37.0 0.0249229188078
38.0 0.0246659815005
39.0 0.024237752655
40.0 0.0238951695786
41.0 0.0229530661185
42.0 0.0215827338129
43.0 0.0214114422748
44.0 0.0209832134293
45.0 0.020726276122
46.0 0.0196985268928
47.0 0.0188420692018
48.0 0.0183281945872
49.0 0.0174717368962
50.0 0.016443987667
51.0 0.0142171976704
52.0 0.0141315519013
53.0 0.0131038026721
54.0 0.0123329907503
55.0 0.0111339499829
56.0 0.00967797190819
57.0 0.0084789311408
58.0 0.00745118191161
59.0 0.00616649537513
60.0 0.00479616306954
61.0 0.00368276807126
e
1.0 0.00285498362583
2.0 0.00285498362583
3.0 0.00352674447897
4.0 0.00461835586531
5.0 0.00570996725166
6.0 0.00688554874465
7.0 0.00780921991771
8.0 0.00864892098413
9.0 0.0099924426904
10.0 0.01125199429
11.0 0.0123436056764
12.0 0.0134352170627
13.0 0.0144428583424
14.0 0.0155344697288
15.0 0.0165421110085
16.0 0.0169619615417
17.0 0.0172978419683
18.0 0.0185573935679
19.0 0.0195650348476
20.0 0.020404735914
21.0 0.0210764967672
22.0 0.0217482576203
23.0 0.0223360483668
24.0 0.0226719287933
25.0 0.0224200184734
26.0 0.0227558989
27.0 0.0236795700731
28.0 0.0240994206063
29.0 0.0244353010328
30.0 0.0246032412461
31.0 0.0247711814594
32.0 0.0247711814594
33.0 0.0246032412461
34.0 0.0235955999664
35.0 0.0237635401797
36.0 0.0240154504996
37.0 0.0238475102863
38.0 0.0235955999664
39.0 0.0233436896465
40.0 0.0228398690066
41.0 0.0224200184734
42.0 0.021580317407
43.0 0.0204887060207
44.0 0.0203207658074
45.0 0.0200688554874
46.0 0.019481064741
47.0 0.0188932739945
48.0 0.018053572928
49.0 0.0172138718616
50.0 0.0162062305819
51.0 0.0148627088756
52.0 0.013603157276
53.0 0.0130153665295
54.0 0.0120077252498
55.0 0.0109161138635
56.0 0.00990847258376
57.0 0.00890083130406
58.0 0.00780921991771
59.0 0.00654966831808
60.0 0.00529011671845
61.0 0.0041985053321
e
1.0 0.00274362361549
2.0 0.00294685499441
3.0 0.00375978051011
4.0 0.0048775530942
5.0 0.00599532567828
6.0 0.00721471395183
7.0 0.008129255157
8.0 0.00904379636216
9.0 0.0104664160146
10.0 0.0116858042882
11.0 0.0127019611828
12.0 0.0137181180774
13.0 0.0147342749721
14.0 0.0157504318667
15.0 0.0167665887613
16.0 0.0168682044508
17.0 0.017579514277
18.0 0.0187989025506
19.0 0.0198150594452
20.0 0.0206279849609
21.0 0.0212376790977
22.0 0.0218473732344
23.0 0.0223554516817
24.0 0.0226602987501
25.0 0.0221522203028
26.0 0.0229651458185
27.0 0.0236764556448
28.0 0.0240829184026
29.0 0.0242861497815
30.0 0.024387765471
31.0 0.0244893811605
32.0 0.0244893811605
33.0 0.0240829184026
34.0 0.0233716085764
35.0 0.0238796870237
36.0 0.0238796870237
37.0 0.0237780713342
38.0 0.0234732242658
39.0 0.023066761508
40.0 0.0226602987501
41.0 0.0222538359923
42.0 0.0212376790977
43.0 0.0205263692714
44.0 0.0206279849609
45.0 0.0201199065136
46.0 0.0195102123768
47.0 0.0187989025506
48.0 0.0179859770349
49.0 0.0171730515192
50.0 0.0161568946245
51.0 0.0146326592826
52.0 0.0137181180774
53.0 0.0130068082512
54.0 0.0118890356671
55.0 0.0106696473936
56.0 0.00965349049893
57.0 0.00863733360431
58.0 0.00741794533076
59.0 0.00630017274667
60.0 0.0048775530942
61.0 0.00375978051011
e
1.0 0.00288095483074
2.0 0.00308673731865
3.0 0.0039098672703
4.0 0.0050416709538
5.0 0.00637925712522
6.0 0.00730527832081
7.0 0.00823129951641
8.0 0.00936310319992
9.0 0.0108035806153
10.0 0.0117296018109
11.0 0.0127585142504
12.0 0.0138903179339
13.0 0.0147134478856
14.0 0.0156394690812
15.0 0.0166683815207
16.0 0.0170799464966
17.0 0.0179030764482
18.0 0.0188290976438
19.0 0.0197551188394
20.0 0.0204753575471
21.0 0.0211955962548
22.0 0.0218129437185
23.0 0.0223273999383
24.0 0.0226360736701
25.0 0.0223273999383
26.0 0.022841856158
27.0 0.0236649861097
28.0 0.0240765510855
29.0 0.0242823335734
30.0 0.0245910073053
31.0 0.0245910073053
32.0 0.0245910073053
33.0 0.0239736598415
34.0 0.0234592036218
35.0 0.0239736598415
36.0 0.0241794423295
37.0 0.0239736598415
38.0 0.0237678773536
39.0 0.0234592036218
40.0 0.022944747402
41.0 0.0225331824262
42.0 0.0212984874987
43.0 0.0204753575471
44.0 0.0202695750592
45.0 0.0198580100833
46.0 0.0192406626196
47.0 0.018417532668
48.0 0.0175944027163
49.0 0.0167712727647
50.0 0.0157423603251
51.0 0.0144047741537
52.0 0.0133758617142
53.0 0.0126556230065
54.0 0.0117296018109
55.0 0.0105977981274
56.0 0.00956888568783
57.0 0.00843708200432
58.0 0.00699660458895
59.0 0.00627636588126
60.0 0.00493877970985
61.0 0.00370408478239
e
1.0 0.00277027494979
2.0 0.00311655931851
3.0 0.0038783849297
4.0 0.00491723803588
5.0 0.00616386176328
6.0 0.00741048549068
7.0 0.00831082484937
8.0 0.00921116420805
9.0 0.0105270448092
10.0 0.0118429254103
11.0 0.013020292264
12.0 0.0139898884964
13.0 0.0150979984763
14.0 0.016552392825
15.0 0.01682942032
16.0 0.0171064478149
17.0 0.0177990165524
18.0 0.0189763834061
19.0 0.0198767227647
20.0 0.0207078052497
21.0 0.0213311171134
22.0 0.0218851721033
23.0 0.0224392270933
24.0 0.022785511462
25.0 0.0223699702195
26.0 0.0231317958307
27.0 0.0237551076944
28.0 0.0241706489369
29.0 0.0243784195581
30.0 0.0245861901794
31.0 0.0246554470531
32.0 0.0247247039269
33.0 0.0242399058107
34.0 0.0235473370732
35.0 0.0240321351894
36.0 0.0241706489369
37.0 0.0240321351894
38.0 0.0237551076944
39.0 0.023339566452
40.0 0.0228547683358
41.0 0.0223007133458
42.0 0.0207770621234
43.0 0.0204307777547
44.0 0.0201537502597
45.0 0.0195996952698
46.0 0.0189763834061
47.0 0.0182838146686
48.0 0.0173834753099
49.0 0.0166909065725
50.0 0.0155827965926
51.0 0.0140591453702
52.0 0.013297319759
53.0 0.0125354941478
54.0 0.0116351547891
55.0 0.0105963016829
56.0 0.00941893482928
57.0 0.00838008172311
58.0 0.0072719717432
59.0 0.00602534801579
60.0 0.00477872428839
61.0 0.00353210056098
e
1.0 0.00257684520523
2.0 0.00276090557703
3.0 0.00340511687834
4.0 0.00450947910915
5.0 0.00570587152586
6.0 0.00699429412847
7.0 0.00800662617338
8.0 0.00892692803239
9.0 0.0107675317504
10.0 0.0115037732376
11.0 0.0127001656543
12.0 0.0137124976992
13.0 0.0148168599301
14.0 0.015829191975
15.0 0.0166574636481
16.0 0.0171176145776
17.0 0.017669795693
18.0 0.0189582182956
19.0 0.0199705503405
20.0 0.0206147616418
21.0 0.0211669427572
22.0 0.0219952144303
23.0 0.0225473955457
24.0 0.0228234861034
25.0 0.0224553653598
26.0 0.0230075464752
27.0 0.0237437879625
28.0 0.0241119087061
29.0 0.0242959690779
30.0 0.0244800294497
31.0 0.0245720596356
32.0 0.0246640898215
33.0 0.0243879992638
34.0 0.0236517577766
35.0 0.0239278483343
36.0 0.0241119087061
37.0 0.0239278483343
38.0 0.0236517577766
39.0 0.0233756672188
40.0 0.0229155162893
41.0 0.0224553653598
42.0 0.0214430333149
43.0 0.0206147616418
44.0 0.02043070127
45.0 0.0200625805264
46.0 0.0194183692251
47.0 0.018590097552
48.0 0.017669795693
49.0 0.016749493834
50.0 0.0155531014173
51.0 0.0144487391865
52.0 0.0136204675133
53.0 0.0128842260261
54.0 0.0117798637953
55.0 0.0108595619363
56.0 0.0096631695196
57.0 0.00855880728879
58.0 0.00736241487208
59.0 0.00598196208356
60.0 0.00506166022455
61.0 0.00377323762194
e
1.0 0.00459317585302
2.0 0.00549540682415
3.0 0.00672572178478
4.0 0.00787401574803
5.0 0.00844816272966
6.0 0.00984251968504
7.0 0.011154855643
8.0 0.0123851706037
9.0 0.0135334645669
10.0 0.0146817585302
11.0 0.0156660104987
12.0 0.0164862204724
13.0 0.0170603674541
14.0 0.0175524934383
15.0 0.0187007874016
16.0 0.0197670603675
17.0 0.0206692913386
18.0 0.0212434383202
19.0 0.0218175853018
20.0 0.0223917322835
21.0 0.0228838582677
22.0 0.0225557742782
23.0 0.0230479002625
24.0 0.0241141732283
25.0 0.0246062992126
26.0 0.0247703412073
27.0 0.0249343832021
28.0 0.0250984251969
29.0 0.0252624671916
30.0 0.0249343832021
31.0 0.0241141732283
32.0 0.0243602362205
33.0 0.0245242782152
34.0 0.0244422572178
35.0 0.0241141732283
36.0 0.0238681102362
37.0 0.0234580052493
38.0 0.0230479002625
39.0 0.0219816272966
40.0 0.0209973753281
41.0 0.0209153543307
42.0 0.0205872703412
43.0 0.0198490813648
44.0 0.0190288713911
45.0 0.0184547244094
46.0 0.0175524934383
47.0 0.0166502624672
48.0 0.0151738845144
49.0 0.0141896325459
50.0 0.0133694225722
51.0 0.0125492125984
52.0 0.0100065616798
53.0 -8.20209973753e-05
54.0 0.00894028871391
55.0 0.00754593175853
56.0 0.00647965879265
57.0 0.0050032808399
58.0 0.00393700787402
59.0 0.00319881889764
60.0 0.00229658792651
61.0 0.00114829396325
e
1.0 0.0029165856504
2.0 0.00311102469376
3.0 0.0038887808672
4.0 0.00512022814181
5.0 0.00622204938752
6.0 0.00745349666213
7.0 0.00829606585002
8.0 0.00920344805237
9.0 0.0104997083414
10.0 0.011731155616
11.0 0.0128329768618
12.0 0.0138051720786
13.0 0.0148421803098
14.0 0.0158143755266
15.0 0.0167865707434
16.0 0.0169810097868
17.0 0.0176291399313
18.0 0.0189254002204
19.0 0.0198975954372
20.0 0.0206753516106
21.0 0.0213234817551
22.0 0.0219067988852
23.0 0.0224901160153
24.0 0.0227493680731
25.0 0.0222956769719
26.0 0.0230734331454
27.0 0.0237863763044
28.0 0.0241752543911
29.0 0.0243696934344
30.0 0.0244993194633
31.0 0.0244993194633
32.0 0.0244345064489
33.0 0.0239808153477
34.0 0.0233326852032
35.0 0.0237215632899
36.0 0.0239160023333
37.0 0.0237215632899
38.0 0.0235271242465
39.0 0.0232030591743
40.0 0.0227493680731
41.0 0.0223604899864
42.0 0.0211290427118
43.0 0.0204809125672
44.0 0.0202864735239
45.0 0.0197679694083
46.0 0.0191846522782
47.0 0.0184717091192
48.0 0.0176291399313
49.0 0.0167865707434
50.0 0.0157495625122
51.0 0.0143884892086
52.0 0.0135459200207
53.0 0.0128977898762
54.0 0.011860781645
55.0 0.0106941473848
56.0 0.00965713915354
57.0 0.00862013092229
58.0 0.00745349666213
59.0 0.00622204938752
60.0 0.00479616306954
61.0 0.00362952880938
e
1.0 0.00294538416225
2.0 0.00294538416225
3.0 0.00361861482791
4.0 0.0047126146596
5.0 0.0058907683245
6.0 0.00698476815619
7.0 0.00799461415467
8.0 0.00883615248675
9.0 0.0101826138181
10.0 0.0114449213162
11.0 0.0125389211479
12.0 0.0139695363124
13.0 0.014642766978
14.0 0.0156526129765
15.0 0.0165783051418
16.0 0.017083228141
17.0 0.0175039973071
18.0 0.018682150972
19.0 0.0196919969705
20.0 0.0205335353025
21.0 0.0212067659682
22.0 0.0217958428006
23.0 0.0223007657999
24.0 0.0227215349659
25.0 0.0222166119667
26.0 0.0226373811327
27.0 0.0234789194648
28.0 0.0238996886308
29.0 0.0241521501304
30.0 0.0244046116301
31.0 0.0244887654633
32.0 0.0245729192965
33.0 0.0244887654633
34.0 0.0234789194648
35.0 0.0237313809644
36.0 0.023983842464
37.0 0.0238996886308
38.0 0.0236472271312
39.0 0.0233106117984
40.0 0.0229739964655
41.0 0.0224690734663
42.0 0.0216275351342
43.0 0.0204493814693
44.0 0.0203652276361
45.0 0.0199444584701
46.0 0.0191870739712
47.0 0.018682150972
48.0 0.0178406126399
49.0 0.0169990743078
50.0 0.0161575359758
51.0 0.014642766978
52.0 0.0136329209796
53.0 0.0129596903139
54.0 0.0120339981486
55.0 0.0110241521501
56.0 0.00993015231844
57.0 0.00883615248675
58.0 0.00774215265505
59.0 0.00647984515695
60.0 0.00513338382563
61.0 0.00403938399394
e
1.0 0.00245609726145
2.0 0.0027017069876
3.0 0.00392975561832
4.0 0.0049121945229
5.0 0.00614024315363
6.0 0.0069384747636
7.0 0.00792091366818
8.0 0.00890335257276
9.0 0.0101314012035
10.0 0.0114822546973
11.0 0.0125260960334
12.0 0.0136313398011
13.0 0.0147365835687
14.0 0.0156576200418
15.0 0.0165786565148
16.0 0.0171312783986
17.0 0.0178067051455
18.0 0.0193417659339
19.0 0.0198943878178
20.0 0.0205698145647
21.0 0.0213066437431
22.0 0.0219206680585
23.0 0.0224732899423
24.0 0.0228417045315
25.0 0.0226574972369
26.0 0.0231487166892
27.0 0.0238241434361
28.0 0.0242539604568
29.0 0.024499570183
30.0 0.0246837774776
31.0 0.0247451799091
32.0 0.0247451799091
33.0 0.0243767653199
34.0 0.0238241434361
35.0 0.0240083507307
36.0 0.0241311555938
37.0 0.0240083507307
38.0 0.023701338573
39.0 0.0233943264153
40.0 0.0230259118261
41.0 0.0224118875107
42.0 0.0214908510377
43.0 0.0206926194277
44.0 0.0204470097016
45.0 0.0199557902493
46.0 0.0192803635024
47.0 0.0184821318924
48.0 0.0174996929878
49.0 0.0168242662409
50.0 0.0158418273364
51.0 0.0145523762741
52.0 0.013508534938
53.0 0.0124646936019
54.0 0.011789266855
55.0 0.0108068279504
56.0 0.00970158418273
57.0 0.0082893282574
58.0 0.00681566990053
59.0 0.00595603585902
60.0 0.00460518236522
61.0 0.00362274346064
e
1.0 0.00235092968583
2.0 0.00270713115338
3.0 0.00384697584954
4.0 0.00455937878464
5.0 0.00584170406782
6.0 0.007124029351
7.0 0.00790767257961
8.0 0.00904751727577
9.0 0.0101161216784
10.0 0.0114696872551
11.0 0.0127520125383
12.0 0.0138918572345
13.0 0.0150317019306
14.0 0.0156728645722
15.0 0.0165989883878
16.0 0.0171689107359
17.0 0.0178100733775
18.0 0.0188786777802
19.0 0.0198048015958
20.0 0.0205884448244
21.0 0.0213008477595
22.0 0.0219420104011
23.0 0.0225119327492
24.0 0.0227968939232
25.0 0.0225831730427
26.0 0.0232243356843
27.0 0.0237942580323
28.0 0.0241504594999
29.0 0.0243641803804
30.0 0.024577901261
31.0 0.024720381848
32.0 0.024720381848
33.0 0.0242929400869
34.0 0.0237230177388
35.0 0.0240079789129
36.0 0.0240079789129
37.0 0.0239367386194
38.0 0.0236517774453
39.0 0.0233668162713
40.0 0.0228681342167
41.0 0.0222982118686
42.0 0.02151456864
43.0 0.0205884448244
44.0 0.0204459642374
45.0 0.0198760418893
46.0 0.0190923986607
47.0 0.0185224763126
48.0 0.017596352497
49.0 0.0168127092684
50.0 0.0158865854527
51.0 0.0144617795825
52.0 0.0136068960604
53.0 0.0126807722448
54.0 0.0118971290162
55.0 0.0108285246135
56.0 0.00954619933034
57.0 0.00833511434067
58.0 0.00740899052504
59.0 0.00626914582888
60.0 0.00505806083921
61.0 0.0035620146755
e
1.0 0.0026274303731
2.0 0.0028901734104
3.0 0.00374408828166
4.0 0.00486074619023
5.0 0.00571466106148
6.0 0.0069626904887
7.0 0.00794797687861
8.0 0.00906463478718
9.0 0.0105754072517
10.0 0.0118891224383
11.0 0.0130057803468
12.0 0.0138596952181
13.0 0.0149106673673
14.0 0.0159616395166
15.0 0.0168155543878
16.0 0.0172096689438
17.0 0.018260641093
18.0 0.0193116132422
19.0 0.0201655281135
20.0 0.0210194429848
21.0 0.0216106148187
22.0 0.0222017866527
23.0 0.0227272727273
24.0 0.0226615869679
25.0 0.0225959012086
26.0 0.0231213872832
27.0 0.0239096163952
28.0 0.0243694167105
29.0 0.0246321597478
30.0 0.0248949027851
31.0 0.0249605885444
32.0 0.0250919600631
33.0 0.0246321597478
34.0 0.0240409879138
35.0 0.0245664739884
36.0 0.0246978455071
37.0 0.0245007882291
38.0 0.0242380451918
39.0 0.0238439306358
40.0 0.0233841303205
41.0 0.0228586442459
42.0 0.0217419863374
43.0 0.0210194429848
44.0 0.0207566999475
45.0 0.0204282711508
46.0 0.0197057277982
47.0 0.0189174986863
48.0 0.0181292695744
49.0 0.0172096689438
50.0 0.0159616395166
51.0 0.014844981608
52.0 0.0128087230688
53.0 0.0
54.0 0.0118234366789
55.0 0.0105097214924
56.0 0.00952443510247
57.0 0.00821071991592
58.0 0.00735680504467
59.0 0.00617446137677
60.0 0.00486074619023
61.0 0.00367840252233