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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_spectrum.wasp

Title produced by software

Spectral Analysis

Date of computation

Mon, 28 Nov 2011 12:02:13 -0500

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/28/t1322499792mspdn7u1zq21u9q.htm/, Retrieved Thu, 25 Apr 2024 07:02:49 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=147877, Retrieved Thu, 25 Apr 2024 07:02:49 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

111

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMPD  [Spectral Analysis] [Spectrum analyse ...] [2010-11-26 00:07:55] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
- R PD      [Spectral Analysis] [Multiple Linear R...] [2011-11-28 17:02:13] [7b8bbc7c94419fec22ed12e329cf3750] [Current]

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Dataseries X:

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Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	5 seconds
R Server	'George Udny Yule' @ yule.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 5 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147877&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147877&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147877&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	5 seconds
R Server	'George Udny Yule' @ yule.wessa.net

Raw Periodogram
Parameter	Value
Box-Cox transformation parameter (lambda)	1
Degree of non-seasonal differencing (d)	0
Degree of seasonal differencing (D)	0
Seasonal Period (s)	12
Frequency (Period)	Spectrum
8e-04 (1250)	12060308627.9291
0.0016 (625)	16955330829.18
0.0024 (416.6667)	46937634260.0942
0.0032 (312.5)	15391833059.2674
0.004 (250)	14281434643.2469
0.0048 (208.3333)	6517287863.99297
0.0056 (178.5714)	96638287518.52
0.0064 (156.25)	5783580193.09126
0.0072 (138.8889)	5766007791.68078
0.008 (125)	20142567305.7952
0.0088 (113.6364)	4458812271.39187
0.0096 (104.1667)	4590537251.17344
0.0104 (96.1538)	5519705461.71684
0.0112 (89.2857)	879136994.871165
0.012 (83.3333)	6165604005.72888
0.0128 (78.125)	2362459012.72375
0.0136 (73.5294)	5022347237.5431
0.0144 (69.4444)	3019200552.88633
0.0152 (65.7895)	1256115388.27803
0.016 (62.5)	28382241.902086
0.0168 (59.5238)	4453286556.33034
0.0176 (56.8182)	893806678.815782
0.0184 (54.3478)	2510070833.07877
0.0192 (52.0833)	11661254677.9318
0.02 (50)	4578538222.47006
0.0208 (48.0769)	1426671630.64816
0.0216 (46.2963)	20120530344.4421
0.0224 (44.6429)	5282210701.27236
0.0232 (43.1034)	5154553401.97045
0.024 (41.6667)	6959370822.47405
0.0248 (40.3226)	689769126.626058
0.0256 (39.0625)	2961369309.97155
0.0264 (37.8788)	4397012290.75594
0.0272 (36.7647)	712873989.845951
0.028 (35.7143)	2391824904.80015
0.0288 (34.7222)	4608274293.39079
0.0296 (33.7838)	143028178.801487
0.0304 (32.8947)	2034502492.1849
0.0312 (32.0513)	1809277541.0392
0.032 (31.25)	3003031291.87955
0.0328 (30.4878)	4425067293.63462
0.0336 (29.7619)	847673194.728486
0.0344 (29.0698)	1725969881.90762
0.0352 (28.4091)	5354857898.48832
0.036 (27.7778)	296532413.458158
0.0368 (27.1739)	1559183166.2522
0.0376 (26.5957)	1420755709.85094
0.0384 (26.0417)	585342537.560923
0.0392 (25.5102)	1654739177.44864
0.04 (25)	567064409.805503
0.0408 (24.5098)	461072232.724419
0.0416 (24.0385)	1017550149.52642
0.0424 (23.5849)	1003043293.55483
0.0432 (23.1481)	318912527.900961
0.044 (22.7273)	1230167200.18959
0.0448 (22.3214)	2125669516.34783
0.0456 (21.9298)	1258069011.76799
0.0464 (21.5517)	965977875.47006
0.0472 (21.1864)	683905047.233305
0.048 (20.8333)	909292293.280783
0.0488 (20.4918)	1022144794.92138
0.0496 (20.1613)	588175280.334512
0.0504 (19.8413)	539708781.124868
0.0512 (19.5312)	1523179786.58249
0.052 (19.2308)	789203518.149369
0.0528 (18.9394)	152229889.38246
0.0536 (18.6567)	553256532.075421
0.0544 (18.3824)	356362245.980514
0.0552 (18.1159)	344164049.111298
0.056 (17.8571)	121681042.945655
0.0568 (17.6056)	328080826.276182
0.0576 (17.3611)	1633465142.99449
0.0584 (17.1233)	85536167.438433
0.0592 (16.8919)	594192953.728935
0.06 (16.6667)	2166234457.24564
0.0608 (16.4474)	231746127.278829
0.0616 (16.2338)	1145970855.21084
0.0624 (16.0256)	1344258055.82023
0.0632 (15.8228)	991366602.99913
0.064 (15.625)	369059691.925237
0.0648 (15.4321)	1027367534.30225
0.0656 (15.2439)	182736140.347402
0.0664 (15.0602)	142762320.465752
0.0672 (14.881)	794729992.228226
0.068 (14.7059)	287705405.253141
0.0688 (14.5349)	398830319.306953
0.0696 (14.3678)	1190114573.82496
0.0704 (14.2045)	1271209509.47066
0.0712 (14.0449)	206267717.377306
0.072 (13.8889)	394193542.775017
0.0728 (13.7363)	85112127.815069
0.0736 (13.587)	191130212.559128
0.0744 (13.4409)	7113093.276875
0.0752 (13.2979)	103580165.402785
0.076 (13.1579)	933355907.402749
0.0768 (13.0208)	45602913.104237
0.0776 (12.8866)	285686951.156812
0.0784 (12.7551)	276650285.872667
0.0792 (12.6263)	106000805.102152
0.08 (12.5)	114259803.172105
0.0808 (12.3762)	15313238.663286
0.0816 (12.2549)	426744252.532625
0.0824 (12.1359)	599255147.33464
0.0832 (12.0192)	21088902.281701
0.084 (11.9048)	212534635.811424
0.0848 (11.7925)	233957208.432879
0.0856 (11.6822)	29586488.404389
0.0864 (11.5741)	25575498.668688
0.0872 (11.4679)	37528999.607259
0.088 (11.3636)	590279959.961852
0.0888 (11.2613)	117704290.081891
0.0896 (11.1607)	75499359.688448
0.0904 (11.0619)	968704778.775222
0.0912 (10.9649)	397210931.013161
0.092 (10.8696)	2042096.938367
0.0928 (10.7759)	264340634.094809
0.0936 (10.6838)	52329604.299403
0.0944 (10.5932)	162711808.064884
0.0952 (10.5042)	45864474.385812
0.096 (10.4167)	332562955.388401
0.0968 (10.3306)	245578592.159971
0.0976 (10.2459)	38473650.201898
0.0984 (10.1626)	2447144.909659
0.0992 (10.0806)	4608956.717884
0.1 (10)	11350193.551898
0.1008 (9.9206)	22345599.414802
0.1016 (9.8425)	202685548.014522
0.1024 (9.7656)	132882268.697292
0.1032 (9.6899)	160723409.619523
0.104 (9.6154)	425888444.247716
0.1048 (9.542)	39468020.109058
0.1056 (9.4697)	53663212.634933
0.1064 (9.3985)	84249539.087879
0.1072 (9.3284)	312694464.101797
0.108 (9.2593)	435621690.52057
0.1088 (9.1912)	15020701.383015
0.1096 (9.1241)	521760583.960072
0.1104 (9.058)	270651356.723386
0.1112 (8.9928)	34051564.275917
0.112 (8.9286)	293247469.221477
0.1128 (8.8652)	195352812.205347
0.1136 (8.8028)	35478584.654577
0.1144 (8.7413)	433680743.022673
0.1152 (8.6806)	170314329.878625
0.116 (8.6207)	124122908.969564
0.1168 (8.5616)	650199920.271705
0.1176 (8.5034)	87495846.860863
0.1184 (8.4459)	529874701.463443
0.1192 (8.3893)	240920623.848173
0.12 (8.3333)	17866874.636038
0.1208 (8.2781)	1171625857.96517
0.1216 (8.2237)	374210455.824412
0.1224 (8.1699)	137616789.830248
0.1232 (8.1169)	328576041.366563
0.124 (8.0645)	331962739.572378
0.1248 (8.0128)	101488282.594882
0.1256 (7.9618)	16873183.023555
0.1264 (7.9114)	131748313.308667
0.1272 (7.8616)	379560854.966946
0.128 (7.8125)	133294885.70997
0.1288 (7.764)	406398485.531839
0.1296 (7.716)	56560197.892465
0.1304 (7.6687)	253740329.043367
0.1312 (7.622)	247890169.292617
0.132 (7.5758)	239741716.775139
0.1328 (7.5301)	213408812.984452
0.1336 (7.485)	181790626.617865
0.1344 (7.4405)	1315964372.99699
0.1352 (7.3964)	189255496.526845
0.136 (7.3529)	336465067.887313
0.1368 (7.3099)	1287058932.50125
0.1376 (7.2674)	236756333.561619
0.1384 (7.2254)	638518621.795749
0.1392 (7.1839)	250693371.425069
0.14 (7.1429)	1324088756.47718
0.1408 (7.1023)	3286927519.45739
0.1416 (7.0621)	6606524058.41145
0.1424 (7.0225)	54744299470.4957
0.1432 (6.9832)	81119886550.8079
0.144 (6.9444)	6037477958.7796
0.1448 (6.9061)	917966077.985174
0.1456 (6.8681)	50253226.488896
0.1464 (6.8306)	699696224.137275
0.1472 (6.7935)	35232578.232874
0.148 (6.7568)	1538106491.6367
0.1488 (6.7204)	1184781432.6613
0.1496 (6.6845)	597712547.911831
0.1504 (6.6489)	335087202.195723
0.1512 (6.6138)	435366379.715227
0.152 (6.5789)	93262026.331001
0.1528 (6.5445)	104630534.647935
0.1536 (6.5104)	60318548.160749
0.1544 (6.4767)	274819717.829281
0.1552 (6.4433)	98487744.447698
0.156 (6.4103)	247488699.521871
0.1568 (6.3776)	9079776.573815
0.1576 (6.3452)	211778009.79918
0.1584 (6.3131)	11907912.387497
0.1592 (6.2814)	168584470.701966
0.16 (6.25)	354761269.735543
0.1608 (6.2189)	119655771.700598
0.1616 (6.1881)	65410354.595711
0.1624 (6.1576)	391405375.275251
0.1632 (6.1275)	189458471.043767
0.164 (6.0976)	32108406.01008
0.1648 (6.068)	648311764.884036
0.1656 (6.0386)	607232248.518072
0.1664 (6.0096)	59078250.937347
0.1672 (5.9809)	708936199.069584
0.168 (5.9524)	280154657.376322
0.1688 (5.9242)	86000203.80314
0.1696 (5.8962)	101491404.138206
0.1704 (5.8685)	7528255.048701
0.1712 (5.8411)	200585102.29924
0.172 (5.814)	193713843.271494
0.1728 (5.787)	53379808.998
0.1736 (5.7604)	49995002.740922
0.1744 (5.7339)	416510296.219721
0.1752 (5.7078)	229201755.03172
0.176 (5.6818)	142325776.211093
0.1768 (5.6561)	143563685.397868
0.1776 (5.6306)	112125810.408683
0.1784 (5.6054)	162386886.655346
0.1792 (5.5804)	100005265.275423
0.18 (5.5556)	29325921.853231
0.1808 (5.531)	249079498.685843
0.1816 (5.5066)	107439939.115134
0.1824 (5.4825)	2694389.977979
0.1832 (5.4585)	65911452.034442
0.184 (5.4348)	24783740.976792
0.1848 (5.4113)	112672727.45862
0.1856 (5.3879)	3256253.242149
0.1864 (5.3648)	4321521.108635
0.1872 (5.3419)	8494163.907731
0.188 (5.3191)	126478793.801328
0.1888 (5.2966)	65869779.492685
0.1896 (5.2743)	113789606.795138
0.1904 (5.2521)	5380510.396585
0.1912 (5.2301)	493367.499396
0.192 (5.2083)	13330235.607408
0.1928 (5.1867)	37328794.667324
0.1936 (5.1653)	107415136.952941
0.1944 (5.144)	15126541.955978
0.1952 (5.123)	35576354.309321
0.196 (5.102)	53087454.112437
0.1968 (5.0813)	59774190.205532
0.1976 (5.0607)	130675002.579443
0.1984 (5.0403)	42953382.728647
0.1992 (5.0201)	48431497.324097
0.2 (5)	5738984.441673
0.2008 (4.9801)	43629667.389424
0.2016 (4.9603)	36865255.828823
0.2024 (4.9407)	46793520.625474
0.2032 (4.9213)	339828614.334487
0.204 (4.902)	15502586.855093
0.2048 (4.8828)	12300069.563659
0.2056 (4.8638)	213170213.586783
0.2064 (4.845)	55998885.292711
0.2072 (4.8263)	95652420.422654
0.208 (4.8077)	80202604.80786
0.2088 (4.7893)	23813450.115533
0.2096 (4.771)	138425359.298984
0.2104 (4.7529)	104934079.626161
0.2112 (4.7348)	65588503.464619
0.212 (4.717)	16280968.420861
0.2128 (4.6992)	178727472.642349
0.2136 (4.6816)	161038934.888113
0.2144 (4.6642)	64566988.4182
0.2152 (4.6468)	165518911.582747
0.216 (4.6296)	8492734.317324
0.2168 (4.6125)	26170328.803525
0.2176 (4.5956)	66179722.400059
0.2184 (4.5788)	129499639.858737
0.2192 (4.562)	49123516.998563
0.22 (4.5455)	70075857.011771
0.2208 (4.529)	4840638.421271
0.2216 (4.5126)	22975076.338024
0.2224 (4.4964)	5102297.922314
0.2232 (4.4803)	28723193.436626
0.224 (4.4643)	36368521.423431
0.2248 (4.4484)	23285261.320986
0.2256 (4.4326)	47620321.757387
0.2264 (4.417)	36008336.04851
0.2272 (4.4014)	277796424.602851
0.228 (4.386)	1315699.862634
0.2288 (4.3706)	43127423.519209
0.2296 (4.3554)	147063131.875627
0.2304 (4.3403)	139459474.932037
0.2312 (4.3253)	37238837.905258
0.232 (4.3103)	88884100.147195
0.2328 (4.2955)	130916114.127891
0.2336 (4.2808)	27803686.897788
0.2344 (4.2662)	97318406.32898
0.2352 (4.2517)	56898169.446878
0.236 (4.2373)	180905747.614969
0.2368 (4.223)	7358358.205886
0.2376 (4.2088)	21447569.245196
0.2384 (4.1946)	41479237.13081
0.2392 (4.1806)	92091232.379348
0.24 (4.1667)	17194901.794426
0.2408 (4.1528)	3589787.51344
0.2416 (4.1391)	13821168.396497
0.2424 (4.1254)	36474762.832025
0.2432 (4.1118)	31515401.879569
0.244 (4.0984)	126768977.956444
0.2448 (4.085)	66092039.971657
0.2456 (4.0717)	72991847.259303
0.2464 (4.0584)	187278145.135863
0.2472 (4.0453)	93041816.385451
0.248 (4.0323)	139743860.072214
0.2488 (4.0193)	51875599.894709
0.2496 (4.0064)	62635166.952952
0.2504 (3.9936)	30245714.793222
0.2512 (3.9809)	56295407.08991
0.252 (3.9683)	117509054.716656
0.2528 (3.9557)	48655709.137907
0.2536 (3.9432)	14974825.835024
0.2544 (3.9308)	54672841.305195
0.2552 (3.9185)	140714763.381887
0.256 (3.9062)	141035151.721487
0.2568 (3.8941)	18839501.488215
0.2576 (3.882)	172550715.106078
0.2584 (3.87)	104038479.747936
0.2592 (3.858)	36615325.034041
0.26 (3.8462)	100226704.419605
0.2608 (3.8344)	96519148.560733
0.2616 (3.8226)	39238209.057047
0.2624 (3.811)	4853798.968537
0.2632 (3.7994)	80539282.404146
0.264 (3.7879)	26274124.890579
0.2648 (3.7764)	32664966.940472
0.2656 (3.7651)	38994437.623091
0.2664 (3.7538)	122217065.027056
0.2672 (3.7425)	12564433.984466
0.268 (3.7313)	146674350.093468
0.2688 (3.7202)	86776633.821768
0.2696 (3.7092)	9154435.841821
0.2704 (3.6982)	13810908.928217
0.2712 (3.6873)	46881339.392835
0.272 (3.6765)	9012773.922617
0.2728 (3.6657)	18564018.168516
0.2736 (3.655)	112283791.74189
0.2744 (3.6443)	47421628.592113
0.2752 (3.6337)	76390471.011834
0.276 (3.6232)	66822651.65871
0.2768 (3.6127)	65905485.673464
0.2776 (3.6023)	259614190.33979
0.2784 (3.592)	16487226.132682
0.2792 (3.5817)	140124111.00008
0.28 (3.5714)	244177280.59992
0.2808 (3.5613)	414379613.514842
0.2816 (3.5511)	31834009.456366
0.2824 (3.5411)	82213245.848277
0.2832 (3.5311)	244697910.489432
0.284 (3.5211)	157981620.678412
0.2848 (3.5112)	34047509.899064
0.2856 (3.5014)	14490033282.2216
0.2864 (3.4916)	2559430841.61005
0.2872 (3.4819)	183646512.970003
0.288 (3.4722)	385033325.191606
0.2888 (3.4626)	145204561.081926
0.2896 (3.453)	20103580.900203
0.2904 (3.4435)	2682652.930167
0.2912 (3.4341)	295358210.022317
0.292 (3.4247)	182193074.438177
0.2928 (3.4153)	193815162.857751
0.2936 (3.406)	146596145.940455
0.2944 (3.3967)	79479362.847781
0.2952 (3.3875)	658626.752829
0.296 (3.3784)	15069836.174992
0.2968 (3.3693)	212904920.246682
0.2976 (3.3602)	39376735.97573
0.2984 (3.3512)	141686451.987813
0.2992 (3.3422)	48353956.58889
0.3 (3.3333)	1298808.729607
0.3008 (3.3245)	1984692.334841
0.3016 (3.3156)	17984497.546357
0.3024 (3.3069)	24438545.880568
0.3032 (3.2982)	24997258.892556
0.304 (3.2895)	4734561.744356
0.3048 (3.2808)	133693975.539462
0.3056 (3.2723)	111070533.920368
0.3064 (3.2637)	16058457.05448
0.3072 (3.2552)	31651669.460293
0.308 (3.2468)	38692523.03747
0.3088 (3.2383)	22020740.411546
0.3096 (3.23)	16265176.390447
0.3104 (3.2216)	52054411.066744
0.3112 (3.2134)	1784629.907416
0.312 (3.2051)	16617017.810925
0.3128 (3.1969)	35657133.783509
0.3136 (3.1888)	2644904.841798
0.3144 (3.1807)	36360588.454145
0.3152 (3.1726)	33815150.418538
0.316 (3.1646)	15215667.895405
0.3168 (3.1566)	20779642.576644
0.3176 (3.1486)	36294524.842049
0.3184 (3.1407)	142907580.900047
0.3192 (3.1328)	60869310.392689
0.32 (3.125)	29423535.437758
0.3208 (3.1172)	1928251.393218
0.3216 (3.1095)	15712674.216179
0.3224 (3.1017)	6530937.50137
0.3232 (3.0941)	4476921.045678
0.324 (3.0864)	40731716.853573
0.3248 (3.0788)	55902942.631174
0.3256 (3.0713)	21184481.639255
0.3264 (3.0637)	20747306.321737
0.3272 (3.0562)	166007215.360708
0.328 (3.0488)	103942885.324718
0.3288 (3.0414)	46699323.961278
0.3296 (3.034)	34583304.511718
0.3304 (3.0266)	69209859.885482
0.3312 (3.0193)	10137765.878981
0.332 (3.012)	18271507.588466
0.3328 (3.0048)	3039762.83643
0.3336 (2.9976)	2188300.503382
0.3344 (2.9904)	65913097.307791
0.3352 (2.9833)	29002028.238747
0.336 (2.9762)	4696933.971426
0.3368 (2.9691)	57838781.145415
0.3376 (2.9621)	57094870.154367
0.3384 (2.9551)	30427189.99865
0.3392 (2.9481)	7173957.091085
0.34 (2.9412)	31230460.728351
0.3408 (2.9343)	22009693.46929
0.3416 (2.9274)	31280497.445079
0.3424 (2.9206)	17632500.369664
0.3432 (2.9138)	46942407.939006
0.344 (2.907)	32927319.772815
0.3448 (2.9002)	41213301.385664
0.3456 (2.8935)	64364853.030193
0.3464 (2.8868)	70587349.170874
0.3472 (2.8802)	10602665.516258
0.348 (2.8736)	44430537.530509
0.3488 (2.867)	78126418.870502
0.3496 (2.8604)	38232387.882207
0.3504 (2.8539)	150184651.021157
0.3512 (2.8474)	88773622.254663
0.352 (2.8409)	13073109.233871
0.3528 (2.8345)	66133357.029675
0.3536 (2.8281)	120584848.026962
0.3544 (2.8217)	75745890.724659
0.3552 (2.8153)	12435621.528583
0.356 (2.809)	30668476.902016
0.3568 (2.8027)	61629312.31762
0.3576 (2.7964)	5276526.055215
0.3584 (2.7902)	2466689.451753
0.3592 (2.784)	5967318.24944
0.36 (2.7778)	23918776.161642
0.3608 (2.7716)	115240160.123974
0.3616 (2.7655)	39735867.812127
0.3624 (2.7594)	3024643.607967
0.3632 (2.7533)	19877893.974573
0.364 (2.7473)	7630795.504495
0.3648 (2.7412)	28535775.293173
0.3656 (2.7352)	683714.737699
0.3664 (2.7293)	13169312.923426
0.3672 (2.7233)	4511719.688799
0.368 (2.7174)	3364152.792423
0.3688 (2.7115)	28905327.650251
0.3696 (2.7056)	182311.251134
0.3704 (2.6998)	9097099.966991
0.3712 (2.694)	13057175.508683
0.372 (2.6882)	13909442.790933
0.3728 (2.6824)	24988078.139981
0.3736 (2.6767)	2766356.24283
0.3744 (2.6709)	58069690.191048
0.3752 (2.6652)	14994928.926236
0.376 (2.6596)	10771221.444375
0.3768 (2.6539)	27387572.324981
0.3776 (2.6483)	22362134.271548
0.3784 (2.6427)	38322403.809464
0.3792 (2.6371)	41772811.712541
0.38 (2.6316)	53855502.79264
0.3808 (2.6261)	14602087.926251
0.3816 (2.6205)	21518803.272783
0.3824 (2.6151)	11049853.253996
0.3832 (2.6096)	22825708.066509
0.384 (2.6042)	41761888.916941
0.3848 (2.5988)	10288792.709306
0.3856 (2.5934)	23298836.758019
0.3864 (2.588)	27482500.02403
0.3872 (2.5826)	15186069.768093
0.388 (2.5773)	14119206.138255
0.3888 (2.572)	43461388.22909
0.3896 (2.5667)	9157720.172808
0.3904 (2.5615)	55195152.374251
0.3912 (2.5562)	59167461.867562
0.392 (2.551)	30328721.082905
0.3928 (2.5458)	863882.375025
0.3936 (2.5407)	29601857.969207
0.3944 (2.5355)	36161619.819957
0.3952 (2.5304)	8203602.312228
0.396 (2.5253)	13945093.245375
0.3968 (2.5202)	18643115.373268
0.3976 (2.5151)	4290658.874425
0.3984 (2.51)	768406.503084
0.3992 (2.505)	9592295.767006
0.4 (2.5)	10966500.893565
0.4008 (2.495)	35620602.570398
0.4016 (2.49)	5119696.686874
0.4024 (2.4851)	69075008.479822
0.4032 (2.4802)	70183898.196758
0.404 (2.4752)	9336031.685742
0.4048 (2.4704)	35943541.489451
0.4056 (2.4655)	23421172.969385
0.4064 (2.4606)	2055109.48889
0.4072 (2.4558)	18366430.595738
0.408 (2.451)	7361812.827999
0.4088 (2.4462)	74692359.476536
0.4096 (2.4414)	33497050.122307
0.4104 (2.4366)	22652136.488361
0.4112 (2.4319)	136282809.815183
0.412 (2.4272)	10901163.030475
0.4128 (2.4225)	37872656.140047
0.4136 (2.4178)	2247027.851716
0.4144 (2.4131)	152770663.699662
0.4152 (2.4085)	55003116.398168
0.416 (2.4038)	13042592.561072
0.4168 (2.3992)	172701393.731632
0.4176 (2.3946)	4827062.307019
0.4184 (2.3901)	7819598.219755
0.4192 (2.3855)	73239752.338628
0.42 (2.381)	89029951.985657
0.4208 (2.3764)	71111789.903701
0.4216 (2.3719)	40859799.559856
0.4224 (2.3674)	48852959.328362
0.4232 (2.3629)	13432283.465998
0.424 (2.3585)	20610143.839582
0.4248 (2.354)	2260246.42308
0.4256 (2.3496)	21764456.617035
0.4264 (2.3452)	11149023.999776
0.4272 (2.3408)	211790494.186433
0.428 (2.3364)	28673713.164908
0.4288 (2.3321)	496081981.467932
0.4296 (2.3277)	128500438.031176
0.4304 (2.3234)	30920060.503319
0.4312 (2.3191)	18822073.205847
0.432 (2.3148)	46161928.707645
0.4328 (2.3105)	19391381.733099
0.4336 (2.3063)	13617723.053986
0.4344 (2.302)	20313653.91082
0.4352 (2.2978)	85781676.748197
0.436 (2.2936)	61982284.436191
0.4368 (2.2894)	49114022.556431
0.4376 (2.2852)	102068981.440585
0.4384 (2.281)	57089865.764199
0.4392 (2.2769)	169661085.639196
0.44 (2.2727)	45856923.080973
0.4408 (2.2686)	275931618.472693
0.4416 (2.2645)	5193678.719313
0.4424 (2.2604)	90703576.883022
0.4432 (2.2563)	176713235.739231
0.444 (2.2523)	2256381.700731
0.4448 (2.2482)	8792296.137581
0.4456 (2.2442)	25213331.142191
0.4464 (2.2401)	97419548.919151
0.4472 (2.2361)	16840307.68682
0.448 (2.2321)	7078063.397971
0.4488 (2.2282)	1297192.593713
0.4496 (2.2242)	9675440.072291
0.4504 (2.2202)	18692981.222708
0.4512 (2.2163)	50044513.945129
0.452 (2.2124)	29802881.334989
0.4528 (2.2085)	126630438.342756
0.4536 (2.2046)	6338787.28352
0.4544 (2.2007)	46196867.764718
0.4552 (2.1968)	22898156.819779
0.456 (2.193)	74715447.022521
0.4568 (2.1891)	14676224.774483
0.4576 (2.1853)	18607564.484408
0.4584 (2.1815)	85795791.605323
0.4592 (2.1777)	16628644.930507
0.46 (2.1739)	40487153.229356
0.4608 (2.1701)	44040707.352274
0.4616 (2.1664)	11412059.638846
0.4624 (2.1626)	3127124.898983
0.4632 (2.1589)	50962417.1357
0.464 (2.1552)	5056716.309596
0.4648 (2.1515)	722638.42885
0.4656 (2.1478)	2469222.742646
0.4664 (2.1441)	39771458.473067
0.4672 (2.1404)	60598886.029694
0.468 (2.1368)	65634119.918642
0.4688 (2.1331)	79462153.333129
0.4696 (2.1295)	2830015.213682
0.4704 (2.1259)	37412066.024885
0.4712 (2.1222)	22950946.555075
0.472 (2.1186)	5512288.656124
0.4728 (2.1151)	40930176.379539
0.4736 (2.1115)	12281484.311666
0.4744 (2.1079)	19763755.919834
0.4752 (2.1044)	8507530.851289
0.476 (2.1008)	42617256.210509
0.4768 (2.0973)	58645079.674013
0.4776 (2.0938)	7472888.857118
0.4784 (2.0903)	10907323.29026
0.4792 (2.0868)	8740504.265424
0.48 (2.0833)	20031385.59847
0.4808 (2.0799)	16491980.276543
0.4816 (2.0764)	45749634.062387
0.4824 (2.073)	16958199.519155
0.4832 (2.0695)	4403770.372227
0.484 (2.0661)	61455906.450166
0.4848 (2.0627)	12018064.772605
0.4856 (2.0593)	54365474.607122
0.4864 (2.0559)	23033752.763351
0.4872 (2.0525)	141030755.94861
0.488 (2.0492)	11630402.777387
0.4888 (2.0458)	57562952.033352
0.4896 (2.0425)	143367821.413752
0.4904 (2.0392)	21272423.180732
0.4912 (2.0358)	14370458.385119
0.492 (2.0325)	11862806.763753
0.4928 (2.0292)	29732399.429799
0.4936 (2.0259)	4596597.420983
0.4944 (2.0227)	15863399.242867
0.4952 (2.0194)	32052816.162793
0.496 (2.0161)	11142252.298013
0.4968 (2.0129)	38091321.137389
0.4976 (2.0096)	89432249.763894
0.4984 (2.0064)	16421791.025432
0.4992 (2.0032)	55975929.370284
0.5 (2)	398011.946537

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 1 \tabularnewline
Degree of non-seasonal differencing (d) & 0 \tabularnewline
Degree of seasonal differencing (D) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
8e-04 (1250) & 12060308627.9291 \tabularnewline
0.0016 (625) & 16955330829.18 \tabularnewline
0.0024 (416.6667) & 46937634260.0942 \tabularnewline
0.0032 (312.5) & 15391833059.2674 \tabularnewline
0.004 (250) & 14281434643.2469 \tabularnewline
0.0048 (208.3333) & 6517287863.99297 \tabularnewline
0.0056 (178.5714) & 96638287518.52 \tabularnewline
0.0064 (156.25) & 5783580193.09126 \tabularnewline
0.0072 (138.8889) & 5766007791.68078 \tabularnewline
0.008 (125) & 20142567305.7952 \tabularnewline
0.0088 (113.6364) & 4458812271.39187 \tabularnewline
0.0096 (104.1667) & 4590537251.17344 \tabularnewline
0.0104 (96.1538) & 5519705461.71684 \tabularnewline
0.0112 (89.2857) & 879136994.871165 \tabularnewline
0.012 (83.3333) & 6165604005.72888 \tabularnewline
0.0128 (78.125) & 2362459012.72375 \tabularnewline
0.0136 (73.5294) & 5022347237.5431 \tabularnewline
0.0144 (69.4444) & 3019200552.88633 \tabularnewline
0.0152 (65.7895) & 1256115388.27803 \tabularnewline
0.016 (62.5) & 28382241.902086 \tabularnewline
0.0168 (59.5238) & 4453286556.33034 \tabularnewline
0.0176 (56.8182) & 893806678.815782 \tabularnewline
0.0184 (54.3478) & 2510070833.07877 \tabularnewline
0.0192 (52.0833) & 11661254677.9318 \tabularnewline
0.02 (50) & 4578538222.47006 \tabularnewline
0.0208 (48.0769) & 1426671630.64816 \tabularnewline
0.0216 (46.2963) & 20120530344.4421 \tabularnewline
0.0224 (44.6429) & 5282210701.27236 \tabularnewline
0.0232 (43.1034) & 5154553401.97045 \tabularnewline
0.024 (41.6667) & 6959370822.47405 \tabularnewline
0.0248 (40.3226) & 689769126.626058 \tabularnewline
0.0256 (39.0625) & 2961369309.97155 \tabularnewline
0.0264 (37.8788) & 4397012290.75594 \tabularnewline
0.0272 (36.7647) & 712873989.845951 \tabularnewline
0.028 (35.7143) & 2391824904.80015 \tabularnewline
0.0288 (34.7222) & 4608274293.39079 \tabularnewline
0.0296 (33.7838) & 143028178.801487 \tabularnewline
0.0304 (32.8947) & 2034502492.1849 \tabularnewline
0.0312 (32.0513) & 1809277541.0392 \tabularnewline
0.032 (31.25) & 3003031291.87955 \tabularnewline
0.0328 (30.4878) & 4425067293.63462 \tabularnewline
0.0336 (29.7619) & 847673194.728486 \tabularnewline
0.0344 (29.0698) & 1725969881.90762 \tabularnewline
0.0352 (28.4091) & 5354857898.48832 \tabularnewline
0.036 (27.7778) & 296532413.458158 \tabularnewline
0.0368 (27.1739) & 1559183166.2522 \tabularnewline
0.0376 (26.5957) & 1420755709.85094 \tabularnewline
0.0384 (26.0417) & 585342537.560923 \tabularnewline
0.0392 (25.5102) & 1654739177.44864 \tabularnewline
0.04 (25) & 567064409.805503 \tabularnewline
0.0408 (24.5098) & 461072232.724419 \tabularnewline
0.0416 (24.0385) & 1017550149.52642 \tabularnewline
0.0424 (23.5849) & 1003043293.55483 \tabularnewline
0.0432 (23.1481) & 318912527.900961 \tabularnewline
0.044 (22.7273) & 1230167200.18959 \tabularnewline
0.0448 (22.3214) & 2125669516.34783 \tabularnewline
0.0456 (21.9298) & 1258069011.76799 \tabularnewline
0.0464 (21.5517) & 965977875.47006 \tabularnewline
0.0472 (21.1864) & 683905047.233305 \tabularnewline
0.048 (20.8333) & 909292293.280783 \tabularnewline
0.0488 (20.4918) & 1022144794.92138 \tabularnewline
0.0496 (20.1613) & 588175280.334512 \tabularnewline
0.0504 (19.8413) & 539708781.124868 \tabularnewline
0.0512 (19.5312) & 1523179786.58249 \tabularnewline
0.052 (19.2308) & 789203518.149369 \tabularnewline
0.0528 (18.9394) & 152229889.38246 \tabularnewline
0.0536 (18.6567) & 553256532.075421 \tabularnewline
0.0544 (18.3824) & 356362245.980514 \tabularnewline
0.0552 (18.1159) & 344164049.111298 \tabularnewline
0.056 (17.8571) & 121681042.945655 \tabularnewline
0.0568 (17.6056) & 328080826.276182 \tabularnewline
0.0576 (17.3611) & 1633465142.99449 \tabularnewline
0.0584 (17.1233) & 85536167.438433 \tabularnewline
0.0592 (16.8919) & 594192953.728935 \tabularnewline
0.06 (16.6667) & 2166234457.24564 \tabularnewline
0.0608 (16.4474) & 231746127.278829 \tabularnewline
0.0616 (16.2338) & 1145970855.21084 \tabularnewline
0.0624 (16.0256) & 1344258055.82023 \tabularnewline
0.0632 (15.8228) & 991366602.99913 \tabularnewline
0.064 (15.625) & 369059691.925237 \tabularnewline
0.0648 (15.4321) & 1027367534.30225 \tabularnewline
0.0656 (15.2439) & 182736140.347402 \tabularnewline
0.0664 (15.0602) & 142762320.465752 \tabularnewline
0.0672 (14.881) & 794729992.228226 \tabularnewline
0.068 (14.7059) & 287705405.253141 \tabularnewline
0.0688 (14.5349) & 398830319.306953 \tabularnewline
0.0696 (14.3678) & 1190114573.82496 \tabularnewline
0.0704 (14.2045) & 1271209509.47066 \tabularnewline
0.0712 (14.0449) & 206267717.377306 \tabularnewline
0.072 (13.8889) & 394193542.775017 \tabularnewline
0.0728 (13.7363) & 85112127.815069 \tabularnewline
0.0736 (13.587) & 191130212.559128 \tabularnewline
0.0744 (13.4409) & 7113093.276875 \tabularnewline
0.0752 (13.2979) & 103580165.402785 \tabularnewline
0.076 (13.1579) & 933355907.402749 \tabularnewline
0.0768 (13.0208) & 45602913.104237 \tabularnewline
0.0776 (12.8866) & 285686951.156812 \tabularnewline
0.0784 (12.7551) & 276650285.872667 \tabularnewline
0.0792 (12.6263) & 106000805.102152 \tabularnewline
0.08 (12.5) & 114259803.172105 \tabularnewline
0.0808 (12.3762) & 15313238.663286 \tabularnewline
0.0816 (12.2549) & 426744252.532625 \tabularnewline
0.0824 (12.1359) & 599255147.33464 \tabularnewline
0.0832 (12.0192) & 21088902.281701 \tabularnewline
0.084 (11.9048) & 212534635.811424 \tabularnewline
0.0848 (11.7925) & 233957208.432879 \tabularnewline
0.0856 (11.6822) & 29586488.404389 \tabularnewline
0.0864 (11.5741) & 25575498.668688 \tabularnewline
0.0872 (11.4679) & 37528999.607259 \tabularnewline
0.088 (11.3636) & 590279959.961852 \tabularnewline
0.0888 (11.2613) & 117704290.081891 \tabularnewline
0.0896 (11.1607) & 75499359.688448 \tabularnewline
0.0904 (11.0619) & 968704778.775222 \tabularnewline
0.0912 (10.9649) & 397210931.013161 \tabularnewline
0.092 (10.8696) & 2042096.938367 \tabularnewline
0.0928 (10.7759) & 264340634.094809 \tabularnewline
0.0936 (10.6838) & 52329604.299403 \tabularnewline
0.0944 (10.5932) & 162711808.064884 \tabularnewline
0.0952 (10.5042) & 45864474.385812 \tabularnewline
0.096 (10.4167) & 332562955.388401 \tabularnewline
0.0968 (10.3306) & 245578592.159971 \tabularnewline
0.0976 (10.2459) & 38473650.201898 \tabularnewline
0.0984 (10.1626) & 2447144.909659 \tabularnewline
0.0992 (10.0806) & 4608956.717884 \tabularnewline
0.1 (10) & 11350193.551898 \tabularnewline
0.1008 (9.9206) & 22345599.414802 \tabularnewline
0.1016 (9.8425) & 202685548.014522 \tabularnewline
0.1024 (9.7656) & 132882268.697292 \tabularnewline
0.1032 (9.6899) & 160723409.619523 \tabularnewline
0.104 (9.6154) & 425888444.247716 \tabularnewline
0.1048 (9.542) & 39468020.109058 \tabularnewline
0.1056 (9.4697) & 53663212.634933 \tabularnewline
0.1064 (9.3985) & 84249539.087879 \tabularnewline
0.1072 (9.3284) & 312694464.101797 \tabularnewline
0.108 (9.2593) & 435621690.52057 \tabularnewline
0.1088 (9.1912) & 15020701.383015 \tabularnewline
0.1096 (9.1241) & 521760583.960072 \tabularnewline
0.1104 (9.058) & 270651356.723386 \tabularnewline
0.1112 (8.9928) & 34051564.275917 \tabularnewline
0.112 (8.9286) & 293247469.221477 \tabularnewline
0.1128 (8.8652) & 195352812.205347 \tabularnewline
0.1136 (8.8028) & 35478584.654577 \tabularnewline
0.1144 (8.7413) & 433680743.022673 \tabularnewline
0.1152 (8.6806) & 170314329.878625 \tabularnewline
0.116 (8.6207) & 124122908.969564 \tabularnewline
0.1168 (8.5616) & 650199920.271705 \tabularnewline
0.1176 (8.5034) & 87495846.860863 \tabularnewline
0.1184 (8.4459) & 529874701.463443 \tabularnewline
0.1192 (8.3893) & 240920623.848173 \tabularnewline
0.12 (8.3333) & 17866874.636038 \tabularnewline
0.1208 (8.2781) & 1171625857.96517 \tabularnewline
0.1216 (8.2237) & 374210455.824412 \tabularnewline
0.1224 (8.1699) & 137616789.830248 \tabularnewline
0.1232 (8.1169) & 328576041.366563 \tabularnewline
0.124 (8.0645) & 331962739.572378 \tabularnewline
0.1248 (8.0128) & 101488282.594882 \tabularnewline
0.1256 (7.9618) & 16873183.023555 \tabularnewline
0.1264 (7.9114) & 131748313.308667 \tabularnewline
0.1272 (7.8616) & 379560854.966946 \tabularnewline
0.128 (7.8125) & 133294885.70997 \tabularnewline
0.1288 (7.764) & 406398485.531839 \tabularnewline
0.1296 (7.716) & 56560197.892465 \tabularnewline
0.1304 (7.6687) & 253740329.043367 \tabularnewline
0.1312 (7.622) & 247890169.292617 \tabularnewline
0.132 (7.5758) & 239741716.775139 \tabularnewline
0.1328 (7.5301) & 213408812.984452 \tabularnewline
0.1336 (7.485) & 181790626.617865 \tabularnewline
0.1344 (7.4405) & 1315964372.99699 \tabularnewline
0.1352 (7.3964) & 189255496.526845 \tabularnewline
0.136 (7.3529) & 336465067.887313 \tabularnewline
0.1368 (7.3099) & 1287058932.50125 \tabularnewline
0.1376 (7.2674) & 236756333.561619 \tabularnewline
0.1384 (7.2254) & 638518621.795749 \tabularnewline
0.1392 (7.1839) & 250693371.425069 \tabularnewline
0.14 (7.1429) & 1324088756.47718 \tabularnewline
0.1408 (7.1023) & 3286927519.45739 \tabularnewline
0.1416 (7.0621) & 6606524058.41145 \tabularnewline
0.1424 (7.0225) & 54744299470.4957 \tabularnewline
0.1432 (6.9832) & 81119886550.8079 \tabularnewline
0.144 (6.9444) & 6037477958.7796 \tabularnewline
0.1448 (6.9061) & 917966077.985174 \tabularnewline
0.1456 (6.8681) & 50253226.488896 \tabularnewline
0.1464 (6.8306) & 699696224.137275 \tabularnewline
0.1472 (6.7935) & 35232578.232874 \tabularnewline
0.148 (6.7568) & 1538106491.6367 \tabularnewline
0.1488 (6.7204) & 1184781432.6613 \tabularnewline
0.1496 (6.6845) & 597712547.911831 \tabularnewline
0.1504 (6.6489) & 335087202.195723 \tabularnewline
0.1512 (6.6138) & 435366379.715227 \tabularnewline
0.152 (6.5789) & 93262026.331001 \tabularnewline
0.1528 (6.5445) & 104630534.647935 \tabularnewline
0.1536 (6.5104) & 60318548.160749 \tabularnewline
0.1544 (6.4767) & 274819717.829281 \tabularnewline
0.1552 (6.4433) & 98487744.447698 \tabularnewline
0.156 (6.4103) & 247488699.521871 \tabularnewline
0.1568 (6.3776) & 9079776.573815 \tabularnewline
0.1576 (6.3452) & 211778009.79918 \tabularnewline
0.1584 (6.3131) & 11907912.387497 \tabularnewline
0.1592 (6.2814) & 168584470.701966 \tabularnewline
0.16 (6.25) & 354761269.735543 \tabularnewline
0.1608 (6.2189) & 119655771.700598 \tabularnewline
0.1616 (6.1881) & 65410354.595711 \tabularnewline
0.1624 (6.1576) & 391405375.275251 \tabularnewline
0.1632 (6.1275) & 189458471.043767 \tabularnewline
0.164 (6.0976) & 32108406.01008 \tabularnewline
0.1648 (6.068) & 648311764.884036 \tabularnewline
0.1656 (6.0386) & 607232248.518072 \tabularnewline
0.1664 (6.0096) & 59078250.937347 \tabularnewline
0.1672 (5.9809) & 708936199.069584 \tabularnewline
0.168 (5.9524) & 280154657.376322 \tabularnewline
0.1688 (5.9242) & 86000203.80314 \tabularnewline
0.1696 (5.8962) & 101491404.138206 \tabularnewline
0.1704 (5.8685) & 7528255.048701 \tabularnewline
0.1712 (5.8411) & 200585102.29924 \tabularnewline
0.172 (5.814) & 193713843.271494 \tabularnewline
0.1728 (5.787) & 53379808.998 \tabularnewline
0.1736 (5.7604) & 49995002.740922 \tabularnewline
0.1744 (5.7339) & 416510296.219721 \tabularnewline
0.1752 (5.7078) & 229201755.03172 \tabularnewline
0.176 (5.6818) & 142325776.211093 \tabularnewline
0.1768 (5.6561) & 143563685.397868 \tabularnewline
0.1776 (5.6306) & 112125810.408683 \tabularnewline
0.1784 (5.6054) & 162386886.655346 \tabularnewline
0.1792 (5.5804) & 100005265.275423 \tabularnewline
0.18 (5.5556) & 29325921.853231 \tabularnewline
0.1808 (5.531) & 249079498.685843 \tabularnewline
0.1816 (5.5066) & 107439939.115134 \tabularnewline
0.1824 (5.4825) & 2694389.977979 \tabularnewline
0.1832 (5.4585) & 65911452.034442 \tabularnewline
0.184 (5.4348) & 24783740.976792 \tabularnewline
0.1848 (5.4113) & 112672727.45862 \tabularnewline
0.1856 (5.3879) & 3256253.242149 \tabularnewline
0.1864 (5.3648) & 4321521.108635 \tabularnewline
0.1872 (5.3419) & 8494163.907731 \tabularnewline
0.188 (5.3191) & 126478793.801328 \tabularnewline
0.1888 (5.2966) & 65869779.492685 \tabularnewline
0.1896 (5.2743) & 113789606.795138 \tabularnewline
0.1904 (5.2521) & 5380510.396585 \tabularnewline
0.1912 (5.2301) & 493367.499396 \tabularnewline
0.192 (5.2083) & 13330235.607408 \tabularnewline
0.1928 (5.1867) & 37328794.667324 \tabularnewline
0.1936 (5.1653) & 107415136.952941 \tabularnewline
0.1944 (5.144) & 15126541.955978 \tabularnewline
0.1952 (5.123) & 35576354.309321 \tabularnewline
0.196 (5.102) & 53087454.112437 \tabularnewline
0.1968 (5.0813) & 59774190.205532 \tabularnewline
0.1976 (5.0607) & 130675002.579443 \tabularnewline
0.1984 (5.0403) & 42953382.728647 \tabularnewline
0.1992 (5.0201) & 48431497.324097 \tabularnewline
0.2 (5) & 5738984.441673 \tabularnewline
0.2008 (4.9801) & 43629667.389424 \tabularnewline
0.2016 (4.9603) & 36865255.828823 \tabularnewline
0.2024 (4.9407) & 46793520.625474 \tabularnewline
0.2032 (4.9213) & 339828614.334487 \tabularnewline
0.204 (4.902) & 15502586.855093 \tabularnewline
0.2048 (4.8828) & 12300069.563659 \tabularnewline
0.2056 (4.8638) & 213170213.586783 \tabularnewline
0.2064 (4.845) & 55998885.292711 \tabularnewline
0.2072 (4.8263) & 95652420.422654 \tabularnewline
0.208 (4.8077) & 80202604.80786 \tabularnewline
0.2088 (4.7893) & 23813450.115533 \tabularnewline
0.2096 (4.771) & 138425359.298984 \tabularnewline
0.2104 (4.7529) & 104934079.626161 \tabularnewline
0.2112 (4.7348) & 65588503.464619 \tabularnewline
0.212 (4.717) & 16280968.420861 \tabularnewline
0.2128 (4.6992) & 178727472.642349 \tabularnewline
0.2136 (4.6816) & 161038934.888113 \tabularnewline
0.2144 (4.6642) & 64566988.4182 \tabularnewline
0.2152 (4.6468) & 165518911.582747 \tabularnewline
0.216 (4.6296) & 8492734.317324 \tabularnewline
0.2168 (4.6125) & 26170328.803525 \tabularnewline
0.2176 (4.5956) & 66179722.400059 \tabularnewline
0.2184 (4.5788) & 129499639.858737 \tabularnewline
0.2192 (4.562) & 49123516.998563 \tabularnewline
0.22 (4.5455) & 70075857.011771 \tabularnewline
0.2208 (4.529) & 4840638.421271 \tabularnewline
0.2216 (4.5126) & 22975076.338024 \tabularnewline
0.2224 (4.4964) & 5102297.922314 \tabularnewline
0.2232 (4.4803) & 28723193.436626 \tabularnewline
0.224 (4.4643) & 36368521.423431 \tabularnewline
0.2248 (4.4484) & 23285261.320986 \tabularnewline
0.2256 (4.4326) & 47620321.757387 \tabularnewline
0.2264 (4.417) & 36008336.04851 \tabularnewline
0.2272 (4.4014) & 277796424.602851 \tabularnewline
0.228 (4.386) & 1315699.862634 \tabularnewline
0.2288 (4.3706) & 43127423.519209 \tabularnewline
0.2296 (4.3554) & 147063131.875627 \tabularnewline
0.2304 (4.3403) & 139459474.932037 \tabularnewline
0.2312 (4.3253) & 37238837.905258 \tabularnewline
0.232 (4.3103) & 88884100.147195 \tabularnewline
0.2328 (4.2955) & 130916114.127891 \tabularnewline
0.2336 (4.2808) & 27803686.897788 \tabularnewline
0.2344 (4.2662) & 97318406.32898 \tabularnewline
0.2352 (4.2517) & 56898169.446878 \tabularnewline
0.236 (4.2373) & 180905747.614969 \tabularnewline
0.2368 (4.223) & 7358358.205886 \tabularnewline
0.2376 (4.2088) & 21447569.245196 \tabularnewline
0.2384 (4.1946) & 41479237.13081 \tabularnewline
0.2392 (4.1806) & 92091232.379348 \tabularnewline
0.24 (4.1667) & 17194901.794426 \tabularnewline
0.2408 (4.1528) & 3589787.51344 \tabularnewline
0.2416 (4.1391) & 13821168.396497 \tabularnewline
0.2424 (4.1254) & 36474762.832025 \tabularnewline
0.2432 (4.1118) & 31515401.879569 \tabularnewline
0.244 (4.0984) & 126768977.956444 \tabularnewline
0.2448 (4.085) & 66092039.971657 \tabularnewline
0.2456 (4.0717) & 72991847.259303 \tabularnewline
0.2464 (4.0584) & 187278145.135863 \tabularnewline
0.2472 (4.0453) & 93041816.385451 \tabularnewline
0.248 (4.0323) & 139743860.072214 \tabularnewline
0.2488 (4.0193) & 51875599.894709 \tabularnewline
0.2496 (4.0064) & 62635166.952952 \tabularnewline
0.2504 (3.9936) & 30245714.793222 \tabularnewline
0.2512 (3.9809) & 56295407.08991 \tabularnewline
0.252 (3.9683) & 117509054.716656 \tabularnewline
0.2528 (3.9557) & 48655709.137907 \tabularnewline
0.2536 (3.9432) & 14974825.835024 \tabularnewline
0.2544 (3.9308) & 54672841.305195 \tabularnewline
0.2552 (3.9185) & 140714763.381887 \tabularnewline
0.256 (3.9062) & 141035151.721487 \tabularnewline
0.2568 (3.8941) & 18839501.488215 \tabularnewline
0.2576 (3.882) & 172550715.106078 \tabularnewline
0.2584 (3.87) & 104038479.747936 \tabularnewline
0.2592 (3.858) & 36615325.034041 \tabularnewline
0.26 (3.8462) & 100226704.419605 \tabularnewline
0.2608 (3.8344) & 96519148.560733 \tabularnewline
0.2616 (3.8226) & 39238209.057047 \tabularnewline
0.2624 (3.811) & 4853798.968537 \tabularnewline
0.2632 (3.7994) & 80539282.404146 \tabularnewline
0.264 (3.7879) & 26274124.890579 \tabularnewline
0.2648 (3.7764) & 32664966.940472 \tabularnewline
0.2656 (3.7651) & 38994437.623091 \tabularnewline
0.2664 (3.7538) & 122217065.027056 \tabularnewline
0.2672 (3.7425) & 12564433.984466 \tabularnewline
0.268 (3.7313) & 146674350.093468 \tabularnewline
0.2688 (3.7202) & 86776633.821768 \tabularnewline
0.2696 (3.7092) & 9154435.841821 \tabularnewline
0.2704 (3.6982) & 13810908.928217 \tabularnewline
0.2712 (3.6873) & 46881339.392835 \tabularnewline
0.272 (3.6765) & 9012773.922617 \tabularnewline
0.2728 (3.6657) & 18564018.168516 \tabularnewline
0.2736 (3.655) & 112283791.74189 \tabularnewline
0.2744 (3.6443) & 47421628.592113 \tabularnewline
0.2752 (3.6337) & 76390471.011834 \tabularnewline
0.276 (3.6232) & 66822651.65871 \tabularnewline
0.2768 (3.6127) & 65905485.673464 \tabularnewline
0.2776 (3.6023) & 259614190.33979 \tabularnewline
0.2784 (3.592) & 16487226.132682 \tabularnewline
0.2792 (3.5817) & 140124111.00008 \tabularnewline
0.28 (3.5714) & 244177280.59992 \tabularnewline
0.2808 (3.5613) & 414379613.514842 \tabularnewline
0.2816 (3.5511) & 31834009.456366 \tabularnewline
0.2824 (3.5411) & 82213245.848277 \tabularnewline
0.2832 (3.5311) & 244697910.489432 \tabularnewline
0.284 (3.5211) & 157981620.678412 \tabularnewline
0.2848 (3.5112) & 34047509.899064 \tabularnewline
0.2856 (3.5014) & 14490033282.2216 \tabularnewline
0.2864 (3.4916) & 2559430841.61005 \tabularnewline
0.2872 (3.4819) & 183646512.970003 \tabularnewline
0.288 (3.4722) & 385033325.191606 \tabularnewline
0.2888 (3.4626) & 145204561.081926 \tabularnewline
0.2896 (3.453) & 20103580.900203 \tabularnewline
0.2904 (3.4435) & 2682652.930167 \tabularnewline
0.2912 (3.4341) & 295358210.022317 \tabularnewline
0.292 (3.4247) & 182193074.438177 \tabularnewline
0.2928 (3.4153) & 193815162.857751 \tabularnewline
0.2936 (3.406) & 146596145.940455 \tabularnewline
0.2944 (3.3967) & 79479362.847781 \tabularnewline
0.2952 (3.3875) & 658626.752829 \tabularnewline
0.296 (3.3784) & 15069836.174992 \tabularnewline
0.2968 (3.3693) & 212904920.246682 \tabularnewline
0.2976 (3.3602) & 39376735.97573 \tabularnewline
0.2984 (3.3512) & 141686451.987813 \tabularnewline
0.2992 (3.3422) & 48353956.58889 \tabularnewline
0.3 (3.3333) & 1298808.729607 \tabularnewline
0.3008 (3.3245) & 1984692.334841 \tabularnewline
0.3016 (3.3156) & 17984497.546357 \tabularnewline
0.3024 (3.3069) & 24438545.880568 \tabularnewline
0.3032 (3.2982) & 24997258.892556 \tabularnewline
0.304 (3.2895) & 4734561.744356 \tabularnewline
0.3048 (3.2808) & 133693975.539462 \tabularnewline
0.3056 (3.2723) & 111070533.920368 \tabularnewline
0.3064 (3.2637) & 16058457.05448 \tabularnewline
0.3072 (3.2552) & 31651669.460293 \tabularnewline
0.308 (3.2468) & 38692523.03747 \tabularnewline
0.3088 (3.2383) & 22020740.411546 \tabularnewline
0.3096 (3.23) & 16265176.390447 \tabularnewline
0.3104 (3.2216) & 52054411.066744 \tabularnewline
0.3112 (3.2134) & 1784629.907416 \tabularnewline
0.312 (3.2051) & 16617017.810925 \tabularnewline
0.3128 (3.1969) & 35657133.783509 \tabularnewline
0.3136 (3.1888) & 2644904.841798 \tabularnewline
0.3144 (3.1807) & 36360588.454145 \tabularnewline
0.3152 (3.1726) & 33815150.418538 \tabularnewline
0.316 (3.1646) & 15215667.895405 \tabularnewline
0.3168 (3.1566) & 20779642.576644 \tabularnewline
0.3176 (3.1486) & 36294524.842049 \tabularnewline
0.3184 (3.1407) & 142907580.900047 \tabularnewline
0.3192 (3.1328) & 60869310.392689 \tabularnewline
0.32 (3.125) & 29423535.437758 \tabularnewline
0.3208 (3.1172) & 1928251.393218 \tabularnewline
0.3216 (3.1095) & 15712674.216179 \tabularnewline
0.3224 (3.1017) & 6530937.50137 \tabularnewline
0.3232 (3.0941) & 4476921.045678 \tabularnewline
0.324 (3.0864) & 40731716.853573 \tabularnewline
0.3248 (3.0788) & 55902942.631174 \tabularnewline
0.3256 (3.0713) & 21184481.639255 \tabularnewline
0.3264 (3.0637) & 20747306.321737 \tabularnewline
0.3272 (3.0562) & 166007215.360708 \tabularnewline
0.328 (3.0488) & 103942885.324718 \tabularnewline
0.3288 (3.0414) & 46699323.961278 \tabularnewline
0.3296 (3.034) & 34583304.511718 \tabularnewline
0.3304 (3.0266) & 69209859.885482 \tabularnewline
0.3312 (3.0193) & 10137765.878981 \tabularnewline
0.332 (3.012) & 18271507.588466 \tabularnewline
0.3328 (3.0048) & 3039762.83643 \tabularnewline
0.3336 (2.9976) & 2188300.503382 \tabularnewline
0.3344 (2.9904) & 65913097.307791 \tabularnewline
0.3352 (2.9833) & 29002028.238747 \tabularnewline
0.336 (2.9762) & 4696933.971426 \tabularnewline
0.3368 (2.9691) & 57838781.145415 \tabularnewline
0.3376 (2.9621) & 57094870.154367 \tabularnewline
0.3384 (2.9551) & 30427189.99865 \tabularnewline
0.3392 (2.9481) & 7173957.091085 \tabularnewline
0.34 (2.9412) & 31230460.728351 \tabularnewline
0.3408 (2.9343) & 22009693.46929 \tabularnewline
0.3416 (2.9274) & 31280497.445079 \tabularnewline
0.3424 (2.9206) & 17632500.369664 \tabularnewline
0.3432 (2.9138) & 46942407.939006 \tabularnewline
0.344 (2.907) & 32927319.772815 \tabularnewline
0.3448 (2.9002) & 41213301.385664 \tabularnewline
0.3456 (2.8935) & 64364853.030193 \tabularnewline
0.3464 (2.8868) & 70587349.170874 \tabularnewline
0.3472 (2.8802) & 10602665.516258 \tabularnewline
0.348 (2.8736) & 44430537.530509 \tabularnewline
0.3488 (2.867) & 78126418.870502 \tabularnewline
0.3496 (2.8604) & 38232387.882207 \tabularnewline
0.3504 (2.8539) & 150184651.021157 \tabularnewline
0.3512 (2.8474) & 88773622.254663 \tabularnewline
0.352 (2.8409) & 13073109.233871 \tabularnewline
0.3528 (2.8345) & 66133357.029675 \tabularnewline
0.3536 (2.8281) & 120584848.026962 \tabularnewline
0.3544 (2.8217) & 75745890.724659 \tabularnewline
0.3552 (2.8153) & 12435621.528583 \tabularnewline
0.356 (2.809) & 30668476.902016 \tabularnewline
0.3568 (2.8027) & 61629312.31762 \tabularnewline
0.3576 (2.7964) & 5276526.055215 \tabularnewline
0.3584 (2.7902) & 2466689.451753 \tabularnewline
0.3592 (2.784) & 5967318.24944 \tabularnewline
0.36 (2.7778) & 23918776.161642 \tabularnewline
0.3608 (2.7716) & 115240160.123974 \tabularnewline
0.3616 (2.7655) & 39735867.812127 \tabularnewline
0.3624 (2.7594) & 3024643.607967 \tabularnewline
0.3632 (2.7533) & 19877893.974573 \tabularnewline
0.364 (2.7473) & 7630795.504495 \tabularnewline
0.3648 (2.7412) & 28535775.293173 \tabularnewline
0.3656 (2.7352) & 683714.737699 \tabularnewline
0.3664 (2.7293) & 13169312.923426 \tabularnewline
0.3672 (2.7233) & 4511719.688799 \tabularnewline
0.368 (2.7174) & 3364152.792423 \tabularnewline
0.3688 (2.7115) & 28905327.650251 \tabularnewline
0.3696 (2.7056) & 182311.251134 \tabularnewline
0.3704 (2.6998) & 9097099.966991 \tabularnewline
0.3712 (2.694) & 13057175.508683 \tabularnewline
0.372 (2.6882) & 13909442.790933 \tabularnewline
0.3728 (2.6824) & 24988078.139981 \tabularnewline
0.3736 (2.6767) & 2766356.24283 \tabularnewline
0.3744 (2.6709) & 58069690.191048 \tabularnewline
0.3752 (2.6652) & 14994928.926236 \tabularnewline
0.376 (2.6596) & 10771221.444375 \tabularnewline
0.3768 (2.6539) & 27387572.324981 \tabularnewline
0.3776 (2.6483) & 22362134.271548 \tabularnewline
0.3784 (2.6427) & 38322403.809464 \tabularnewline
0.3792 (2.6371) & 41772811.712541 \tabularnewline
0.38 (2.6316) & 53855502.79264 \tabularnewline
0.3808 (2.6261) & 14602087.926251 \tabularnewline
0.3816 (2.6205) & 21518803.272783 \tabularnewline
0.3824 (2.6151) & 11049853.253996 \tabularnewline
0.3832 (2.6096) & 22825708.066509 \tabularnewline
0.384 (2.6042) & 41761888.916941 \tabularnewline
0.3848 (2.5988) & 10288792.709306 \tabularnewline
0.3856 (2.5934) & 23298836.758019 \tabularnewline
0.3864 (2.588) & 27482500.02403 \tabularnewline
0.3872 (2.5826) & 15186069.768093 \tabularnewline
0.388 (2.5773) & 14119206.138255 \tabularnewline
0.3888 (2.572) & 43461388.22909 \tabularnewline
0.3896 (2.5667) & 9157720.172808 \tabularnewline
0.3904 (2.5615) & 55195152.374251 \tabularnewline
0.3912 (2.5562) & 59167461.867562 \tabularnewline
0.392 (2.551) & 30328721.082905 \tabularnewline
0.3928 (2.5458) & 863882.375025 \tabularnewline
0.3936 (2.5407) & 29601857.969207 \tabularnewline
0.3944 (2.5355) & 36161619.819957 \tabularnewline
0.3952 (2.5304) & 8203602.312228 \tabularnewline
0.396 (2.5253) & 13945093.245375 \tabularnewline
0.3968 (2.5202) & 18643115.373268 \tabularnewline
0.3976 (2.5151) & 4290658.874425 \tabularnewline
0.3984 (2.51) & 768406.503084 \tabularnewline
0.3992 (2.505) & 9592295.767006 \tabularnewline
0.4 (2.5) & 10966500.893565 \tabularnewline
0.4008 (2.495) & 35620602.570398 \tabularnewline
0.4016 (2.49) & 5119696.686874 \tabularnewline
0.4024 (2.4851) & 69075008.479822 \tabularnewline
0.4032 (2.4802) & 70183898.196758 \tabularnewline
0.404 (2.4752) & 9336031.685742 \tabularnewline
0.4048 (2.4704) & 35943541.489451 \tabularnewline
0.4056 (2.4655) & 23421172.969385 \tabularnewline
0.4064 (2.4606) & 2055109.48889 \tabularnewline
0.4072 (2.4558) & 18366430.595738 \tabularnewline
0.408 (2.451) & 7361812.827999 \tabularnewline
0.4088 (2.4462) & 74692359.476536 \tabularnewline
0.4096 (2.4414) & 33497050.122307 \tabularnewline
0.4104 (2.4366) & 22652136.488361 \tabularnewline
0.4112 (2.4319) & 136282809.815183 \tabularnewline
0.412 (2.4272) & 10901163.030475 \tabularnewline
0.4128 (2.4225) & 37872656.140047 \tabularnewline
0.4136 (2.4178) & 2247027.851716 \tabularnewline
0.4144 (2.4131) & 152770663.699662 \tabularnewline
0.4152 (2.4085) & 55003116.398168 \tabularnewline
0.416 (2.4038) & 13042592.561072 \tabularnewline
0.4168 (2.3992) & 172701393.731632 \tabularnewline
0.4176 (2.3946) & 4827062.307019 \tabularnewline
0.4184 (2.3901) & 7819598.219755 \tabularnewline
0.4192 (2.3855) & 73239752.338628 \tabularnewline
0.42 (2.381) & 89029951.985657 \tabularnewline
0.4208 (2.3764) & 71111789.903701 \tabularnewline
0.4216 (2.3719) & 40859799.559856 \tabularnewline
0.4224 (2.3674) & 48852959.328362 \tabularnewline
0.4232 (2.3629) & 13432283.465998 \tabularnewline
0.424 (2.3585) & 20610143.839582 \tabularnewline
0.4248 (2.354) & 2260246.42308 \tabularnewline
0.4256 (2.3496) & 21764456.617035 \tabularnewline
0.4264 (2.3452) & 11149023.999776 \tabularnewline
0.4272 (2.3408) & 211790494.186433 \tabularnewline
0.428 (2.3364) & 28673713.164908 \tabularnewline
0.4288 (2.3321) & 496081981.467932 \tabularnewline
0.4296 (2.3277) & 128500438.031176 \tabularnewline
0.4304 (2.3234) & 30920060.503319 \tabularnewline
0.4312 (2.3191) & 18822073.205847 \tabularnewline
0.432 (2.3148) & 46161928.707645 \tabularnewline
0.4328 (2.3105) & 19391381.733099 \tabularnewline
0.4336 (2.3063) & 13617723.053986 \tabularnewline
0.4344 (2.302) & 20313653.91082 \tabularnewline
0.4352 (2.2978) & 85781676.748197 \tabularnewline
0.436 (2.2936) & 61982284.436191 \tabularnewline
0.4368 (2.2894) & 49114022.556431 \tabularnewline
0.4376 (2.2852) & 102068981.440585 \tabularnewline
0.4384 (2.281) & 57089865.764199 \tabularnewline
0.4392 (2.2769) & 169661085.639196 \tabularnewline
0.44 (2.2727) & 45856923.080973 \tabularnewline
0.4408 (2.2686) & 275931618.472693 \tabularnewline
0.4416 (2.2645) & 5193678.719313 \tabularnewline
0.4424 (2.2604) & 90703576.883022 \tabularnewline
0.4432 (2.2563) & 176713235.739231 \tabularnewline
0.444 (2.2523) & 2256381.700731 \tabularnewline
0.4448 (2.2482) & 8792296.137581 \tabularnewline
0.4456 (2.2442) & 25213331.142191 \tabularnewline
0.4464 (2.2401) & 97419548.919151 \tabularnewline
0.4472 (2.2361) & 16840307.68682 \tabularnewline
0.448 (2.2321) & 7078063.397971 \tabularnewline
0.4488 (2.2282) & 1297192.593713 \tabularnewline
0.4496 (2.2242) & 9675440.072291 \tabularnewline
0.4504 (2.2202) & 18692981.222708 \tabularnewline
0.4512 (2.2163) & 50044513.945129 \tabularnewline
0.452 (2.2124) & 29802881.334989 \tabularnewline
0.4528 (2.2085) & 126630438.342756 \tabularnewline
0.4536 (2.2046) & 6338787.28352 \tabularnewline
0.4544 (2.2007) & 46196867.764718 \tabularnewline
0.4552 (2.1968) & 22898156.819779 \tabularnewline
0.456 (2.193) & 74715447.022521 \tabularnewline
0.4568 (2.1891) & 14676224.774483 \tabularnewline
0.4576 (2.1853) & 18607564.484408 \tabularnewline
0.4584 (2.1815) & 85795791.605323 \tabularnewline
0.4592 (2.1777) & 16628644.930507 \tabularnewline
0.46 (2.1739) & 40487153.229356 \tabularnewline
0.4608 (2.1701) & 44040707.352274 \tabularnewline
0.4616 (2.1664) & 11412059.638846 \tabularnewline
0.4624 (2.1626) & 3127124.898983 \tabularnewline
0.4632 (2.1589) & 50962417.1357 \tabularnewline
0.464 (2.1552) & 5056716.309596 \tabularnewline
0.4648 (2.1515) & 722638.42885 \tabularnewline
0.4656 (2.1478) & 2469222.742646 \tabularnewline
0.4664 (2.1441) & 39771458.473067 \tabularnewline
0.4672 (2.1404) & 60598886.029694 \tabularnewline
0.468 (2.1368) & 65634119.918642 \tabularnewline
0.4688 (2.1331) & 79462153.333129 \tabularnewline
0.4696 (2.1295) & 2830015.213682 \tabularnewline
0.4704 (2.1259) & 37412066.024885 \tabularnewline
0.4712 (2.1222) & 22950946.555075 \tabularnewline
0.472 (2.1186) & 5512288.656124 \tabularnewline
0.4728 (2.1151) & 40930176.379539 \tabularnewline
0.4736 (2.1115) & 12281484.311666 \tabularnewline
0.4744 (2.1079) & 19763755.919834 \tabularnewline
0.4752 (2.1044) & 8507530.851289 \tabularnewline
0.476 (2.1008) & 42617256.210509 \tabularnewline
0.4768 (2.0973) & 58645079.674013 \tabularnewline
0.4776 (2.0938) & 7472888.857118 \tabularnewline
0.4784 (2.0903) & 10907323.29026 \tabularnewline
0.4792 (2.0868) & 8740504.265424 \tabularnewline
0.48 (2.0833) & 20031385.59847 \tabularnewline
0.4808 (2.0799) & 16491980.276543 \tabularnewline
0.4816 (2.0764) & 45749634.062387 \tabularnewline
0.4824 (2.073) & 16958199.519155 \tabularnewline
0.4832 (2.0695) & 4403770.372227 \tabularnewline
0.484 (2.0661) & 61455906.450166 \tabularnewline
0.4848 (2.0627) & 12018064.772605 \tabularnewline
0.4856 (2.0593) & 54365474.607122 \tabularnewline
0.4864 (2.0559) & 23033752.763351 \tabularnewline
0.4872 (2.0525) & 141030755.94861 \tabularnewline
0.488 (2.0492) & 11630402.777387 \tabularnewline
0.4888 (2.0458) & 57562952.033352 \tabularnewline
0.4896 (2.0425) & 143367821.413752 \tabularnewline
0.4904 (2.0392) & 21272423.180732 \tabularnewline
0.4912 (2.0358) & 14370458.385119 \tabularnewline
0.492 (2.0325) & 11862806.763753 \tabularnewline
0.4928 (2.0292) & 29732399.429799 \tabularnewline
0.4936 (2.0259) & 4596597.420983 \tabularnewline
0.4944 (2.0227) & 15863399.242867 \tabularnewline
0.4952 (2.0194) & 32052816.162793 \tabularnewline
0.496 (2.0161) & 11142252.298013 \tabularnewline
0.4968 (2.0129) & 38091321.137389 \tabularnewline
0.4976 (2.0096) & 89432249.763894 \tabularnewline
0.4984 (2.0064) & 16421791.025432 \tabularnewline
0.4992 (2.0032) & 55975929.370284 \tabularnewline
0.5 (2) & 398011.946537 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147877&T=1

[TABLE]
[ROW][C]Raw Periodogram[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]Box-Cox transformation parameter (lambda)[/C][C]1[/C][/ROW]
[ROW][C]Degree of non-seasonal differencing (d)[/C][C]0[/C][/ROW]
[ROW][C]Degree of seasonal differencing (D)[/C][C]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]8e-04 (1250)[/C][C]12060308627.9291[/C][/ROW]
[ROW][C]0.0016 (625)[/C][C]16955330829.18[/C][/ROW]
[ROW][C]0.0024 (416.6667)[/C][C]46937634260.0942[/C][/ROW]
[ROW][C]0.0032 (312.5)[/C][C]15391833059.2674[/C][/ROW]
[ROW][C]0.004 (250)[/C][C]14281434643.2469[/C][/ROW]
[ROW][C]0.0048 (208.3333)[/C][C]6517287863.99297[/C][/ROW]
[ROW][C]0.0056 (178.5714)[/C][C]96638287518.52[/C][/ROW]
[ROW][C]0.0064 (156.25)[/C][C]5783580193.09126[/C][/ROW]
[ROW][C]0.0072 (138.8889)[/C][C]5766007791.68078[/C][/ROW]
[ROW][C]0.008 (125)[/C][C]20142567305.7952[/C][/ROW]
[ROW][C]0.0088 (113.6364)[/C][C]4458812271.39187[/C][/ROW]
[ROW][C]0.0096 (104.1667)[/C][C]4590537251.17344[/C][/ROW]
[ROW][C]0.0104 (96.1538)[/C][C]5519705461.71684[/C][/ROW]
[ROW][C]0.0112 (89.2857)[/C][C]879136994.871165[/C][/ROW]
[ROW][C]0.012 (83.3333)[/C][C]6165604005.72888[/C][/ROW]
[ROW][C]0.0128 (78.125)[/C][C]2362459012.72375[/C][/ROW]
[ROW][C]0.0136 (73.5294)[/C][C]5022347237.5431[/C][/ROW]
[ROW][C]0.0144 (69.4444)[/C][C]3019200552.88633[/C][/ROW]
[ROW][C]0.0152 (65.7895)[/C][C]1256115388.27803[/C][/ROW]
[ROW][C]0.016 (62.5)[/C][C]28382241.902086[/C][/ROW]
[ROW][C]0.0168 (59.5238)[/C][C]4453286556.33034[/C][/ROW]
[ROW][C]0.0176 (56.8182)[/C][C]893806678.815782[/C][/ROW]
[ROW][C]0.0184 (54.3478)[/C][C]2510070833.07877[/C][/ROW]
[ROW][C]0.0192 (52.0833)[/C][C]11661254677.9318[/C][/ROW]
[ROW][C]0.02 (50)[/C][C]4578538222.47006[/C][/ROW]
[ROW][C]0.0208 (48.0769)[/C][C]1426671630.64816[/C][/ROW]
[ROW][C]0.0216 (46.2963)[/C][C]20120530344.4421[/C][/ROW]
[ROW][C]0.0224 (44.6429)[/C][C]5282210701.27236[/C][/ROW]
[ROW][C]0.0232 (43.1034)[/C][C]5154553401.97045[/C][/ROW]
[ROW][C]0.024 (41.6667)[/C][C]6959370822.47405[/C][/ROW]
[ROW][C]0.0248 (40.3226)[/C][C]689769126.626058[/C][/ROW]
[ROW][C]0.0256 (39.0625)[/C][C]2961369309.97155[/C][/ROW]
[ROW][C]0.0264 (37.8788)[/C][C]4397012290.75594[/C][/ROW]
[ROW][C]0.0272 (36.7647)[/C][C]712873989.845951[/C][/ROW]
[ROW][C]0.028 (35.7143)[/C][C]2391824904.80015[/C][/ROW]
[ROW][C]0.0288 (34.7222)[/C][C]4608274293.39079[/C][/ROW]
[ROW][C]0.0296 (33.7838)[/C][C]143028178.801487[/C][/ROW]
[ROW][C]0.0304 (32.8947)[/C][C]2034502492.1849[/C][/ROW]
[ROW][C]0.0312 (32.0513)[/C][C]1809277541.0392[/C][/ROW]
[ROW][C]0.032 (31.25)[/C][C]3003031291.87955[/C][/ROW]
[ROW][C]0.0328 (30.4878)[/C][C]4425067293.63462[/C][/ROW]
[ROW][C]0.0336 (29.7619)[/C][C]847673194.728486[/C][/ROW]
[ROW][C]0.0344 (29.0698)[/C][C]1725969881.90762[/C][/ROW]
[ROW][C]0.0352 (28.4091)[/C][C]5354857898.48832[/C][/ROW]
[ROW][C]0.036 (27.7778)[/C][C]296532413.458158[/C][/ROW]
[ROW][C]0.0368 (27.1739)[/C][C]1559183166.2522[/C][/ROW]
[ROW][C]0.0376 (26.5957)[/C][C]1420755709.85094[/C][/ROW]
[ROW][C]0.0384 (26.0417)[/C][C]585342537.560923[/C][/ROW]
[ROW][C]0.0392 (25.5102)[/C][C]1654739177.44864[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]567064409.805503[/C][/ROW]
[ROW][C]0.0408 (24.5098)[/C][C]461072232.724419[/C][/ROW]
[ROW][C]0.0416 (24.0385)[/C][C]1017550149.52642[/C][/ROW]
[ROW][C]0.0424 (23.5849)[/C][C]1003043293.55483[/C][/ROW]
[ROW][C]0.0432 (23.1481)[/C][C]318912527.900961[/C][/ROW]
[ROW][C]0.044 (22.7273)[/C][C]1230167200.18959[/C][/ROW]
[ROW][C]0.0448 (22.3214)[/C][C]2125669516.34783[/C][/ROW]
[ROW][C]0.0456 (21.9298)[/C][C]1258069011.76799[/C][/ROW]
[ROW][C]0.0464 (21.5517)[/C][C]965977875.47006[/C][/ROW]
[ROW][C]0.0472 (21.1864)[/C][C]683905047.233305[/C][/ROW]
[ROW][C]0.048 (20.8333)[/C][C]909292293.280783[/C][/ROW]
[ROW][C]0.0488 (20.4918)[/C][C]1022144794.92138[/C][/ROW]
[ROW][C]0.0496 (20.1613)[/C][C]588175280.334512[/C][/ROW]
[ROW][C]0.0504 (19.8413)[/C][C]539708781.124868[/C][/ROW]
[ROW][C]0.0512 (19.5312)[/C][C]1523179786.58249[/C][/ROW]
[ROW][C]0.052 (19.2308)[/C][C]789203518.149369[/C][/ROW]
[ROW][C]0.0528 (18.9394)[/C][C]152229889.38246[/C][/ROW]
[ROW][C]0.0536 (18.6567)[/C][C]553256532.075421[/C][/ROW]
[ROW][C]0.0544 (18.3824)[/C][C]356362245.980514[/C][/ROW]
[ROW][C]0.0552 (18.1159)[/C][C]344164049.111298[/C][/ROW]
[ROW][C]0.056 (17.8571)[/C][C]121681042.945655[/C][/ROW]
[ROW][C]0.0568 (17.6056)[/C][C]328080826.276182[/C][/ROW]
[ROW][C]0.0576 (17.3611)[/C][C]1633465142.99449[/C][/ROW]
[ROW][C]0.0584 (17.1233)[/C][C]85536167.438433[/C][/ROW]
[ROW][C]0.0592 (16.8919)[/C][C]594192953.728935[/C][/ROW]
[ROW][C]0.06 (16.6667)[/C][C]2166234457.24564[/C][/ROW]
[ROW][C]0.0608 (16.4474)[/C][C]231746127.278829[/C][/ROW]
[ROW][C]0.0616 (16.2338)[/C][C]1145970855.21084[/C][/ROW]
[ROW][C]0.0624 (16.0256)[/C][C]1344258055.82023[/C][/ROW]
[ROW][C]0.0632 (15.8228)[/C][C]991366602.99913[/C][/ROW]
[ROW][C]0.064 (15.625)[/C][C]369059691.925237[/C][/ROW]
[ROW][C]0.0648 (15.4321)[/C][C]1027367534.30225[/C][/ROW]
[ROW][C]0.0656 (15.2439)[/C][C]182736140.347402[/C][/ROW]
[ROW][C]0.0664 (15.0602)[/C][C]142762320.465752[/C][/ROW]
[ROW][C]0.0672 (14.881)[/C][C]794729992.228226[/C][/ROW]
[ROW][C]0.068 (14.7059)[/C][C]287705405.253141[/C][/ROW]
[ROW][C]0.0688 (14.5349)[/C][C]398830319.306953[/C][/ROW]
[ROW][C]0.0696 (14.3678)[/C][C]1190114573.82496[/C][/ROW]
[ROW][C]0.0704 (14.2045)[/C][C]1271209509.47066[/C][/ROW]
[ROW][C]0.0712 (14.0449)[/C][C]206267717.377306[/C][/ROW]
[ROW][C]0.072 (13.8889)[/C][C]394193542.775017[/C][/ROW]
[ROW][C]0.0728 (13.7363)[/C][C]85112127.815069[/C][/ROW]
[ROW][C]0.0736 (13.587)[/C][C]191130212.559128[/C][/ROW]
[ROW][C]0.0744 (13.4409)[/C][C]7113093.276875[/C][/ROW]
[ROW][C]0.0752 (13.2979)[/C][C]103580165.402785[/C][/ROW]
[ROW][C]0.076 (13.1579)[/C][C]933355907.402749[/C][/ROW]
[ROW][C]0.0768 (13.0208)[/C][C]45602913.104237[/C][/ROW]
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[ROW][C]0.4488 (2.2282)[/C][C]1297192.593713[/C][/ROW]
[ROW][C]0.4496 (2.2242)[/C][C]9675440.072291[/C][/ROW]
[ROW][C]0.4504 (2.2202)[/C][C]18692981.222708[/C][/ROW]
[ROW][C]0.4512 (2.2163)[/C][C]50044513.945129[/C][/ROW]
[ROW][C]0.452 (2.2124)[/C][C]29802881.334989[/C][/ROW]
[ROW][C]0.4528 (2.2085)[/C][C]126630438.342756[/C][/ROW]
[ROW][C]0.4536 (2.2046)[/C][C]6338787.28352[/C][/ROW]
[ROW][C]0.4544 (2.2007)[/C][C]46196867.764718[/C][/ROW]
[ROW][C]0.4552 (2.1968)[/C][C]22898156.819779[/C][/ROW]
[ROW][C]0.456 (2.193)[/C][C]74715447.022521[/C][/ROW]
[ROW][C]0.4568 (2.1891)[/C][C]14676224.774483[/C][/ROW]
[ROW][C]0.4576 (2.1853)[/C][C]18607564.484408[/C][/ROW]
[ROW][C]0.4584 (2.1815)[/C][C]85795791.605323[/C][/ROW]
[ROW][C]0.4592 (2.1777)[/C][C]16628644.930507[/C][/ROW]
[ROW][C]0.46 (2.1739)[/C][C]40487153.229356[/C][/ROW]
[ROW][C]0.4608 (2.1701)[/C][C]44040707.352274[/C][/ROW]
[ROW][C]0.4616 (2.1664)[/C][C]11412059.638846[/C][/ROW]
[ROW][C]0.4624 (2.1626)[/C][C]3127124.898983[/C][/ROW]
[ROW][C]0.4632 (2.1589)[/C][C]50962417.1357[/C][/ROW]
[ROW][C]0.464 (2.1552)[/C][C]5056716.309596[/C][/ROW]
[ROW][C]0.4648 (2.1515)[/C][C]722638.42885[/C][/ROW]
[ROW][C]0.4656 (2.1478)[/C][C]2469222.742646[/C][/ROW]
[ROW][C]0.4664 (2.1441)[/C][C]39771458.473067[/C][/ROW]
[ROW][C]0.4672 (2.1404)[/C][C]60598886.029694[/C][/ROW]
[ROW][C]0.468 (2.1368)[/C][C]65634119.918642[/C][/ROW]
[ROW][C]0.4688 (2.1331)[/C][C]79462153.333129[/C][/ROW]
[ROW][C]0.4696 (2.1295)[/C][C]2830015.213682[/C][/ROW]
[ROW][C]0.4704 (2.1259)[/C][C]37412066.024885[/C][/ROW]
[ROW][C]0.4712 (2.1222)[/C][C]22950946.555075[/C][/ROW]
[ROW][C]0.472 (2.1186)[/C][C]5512288.656124[/C][/ROW]
[ROW][C]0.4728 (2.1151)[/C][C]40930176.379539[/C][/ROW]
[ROW][C]0.4736 (2.1115)[/C][C]12281484.311666[/C][/ROW]
[ROW][C]0.4744 (2.1079)[/C][C]19763755.919834[/C][/ROW]
[ROW][C]0.4752 (2.1044)[/C][C]8507530.851289[/C][/ROW]
[ROW][C]0.476 (2.1008)[/C][C]42617256.210509[/C][/ROW]
[ROW][C]0.4768 (2.0973)[/C][C]58645079.674013[/C][/ROW]
[ROW][C]0.4776 (2.0938)[/C][C]7472888.857118[/C][/ROW]
[ROW][C]0.4784 (2.0903)[/C][C]10907323.29026[/C][/ROW]
[ROW][C]0.4792 (2.0868)[/C][C]8740504.265424[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]20031385.59847[/C][/ROW]
[ROW][C]0.4808 (2.0799)[/C][C]16491980.276543[/C][/ROW]
[ROW][C]0.4816 (2.0764)[/C][C]45749634.062387[/C][/ROW]
[ROW][C]0.4824 (2.073)[/C][C]16958199.519155[/C][/ROW]
[ROW][C]0.4832 (2.0695)[/C][C]4403770.372227[/C][/ROW]
[ROW][C]0.484 (2.0661)[/C][C]61455906.450166[/C][/ROW]
[ROW][C]0.4848 (2.0627)[/C][C]12018064.772605[/C][/ROW]
[ROW][C]0.4856 (2.0593)[/C][C]54365474.607122[/C][/ROW]
[ROW][C]0.4864 (2.0559)[/C][C]23033752.763351[/C][/ROW]
[ROW][C]0.4872 (2.0525)[/C][C]141030755.94861[/C][/ROW]
[ROW][C]0.488 (2.0492)[/C][C]11630402.777387[/C][/ROW]
[ROW][C]0.4888 (2.0458)[/C][C]57562952.033352[/C][/ROW]
[ROW][C]0.4896 (2.0425)[/C][C]143367821.413752[/C][/ROW]
[ROW][C]0.4904 (2.0392)[/C][C]21272423.180732[/C][/ROW]
[ROW][C]0.4912 (2.0358)[/C][C]14370458.385119[/C][/ROW]
[ROW][C]0.492 (2.0325)[/C][C]11862806.763753[/C][/ROW]
[ROW][C]0.4928 (2.0292)[/C][C]29732399.429799[/C][/ROW]
[ROW][C]0.4936 (2.0259)[/C][C]4596597.420983[/C][/ROW]
[ROW][C]0.4944 (2.0227)[/C][C]15863399.242867[/C][/ROW]
[ROW][C]0.4952 (2.0194)[/C][C]32052816.162793[/C][/ROW]
[ROW][C]0.496 (2.0161)[/C][C]11142252.298013[/C][/ROW]
[ROW][C]0.4968 (2.0129)[/C][C]38091321.137389[/C][/ROW]
[ROW][C]0.4976 (2.0096)[/C][C]89432249.763894[/C][/ROW]
[ROW][C]0.4984 (2.0064)[/C][C]16421791.025432[/C][/ROW]
[ROW][C]0.4992 (2.0032)[/C][C]55975929.370284[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]398011.946537[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147877&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147877&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Raw Periodogram
Parameter	Value
Box-Cox transformation parameter (lambda)	1
Degree of non-seasonal differencing (d)	0
Degree of seasonal differencing (D)	0
Seasonal Period (s)	12
Frequency (Period)	Spectrum
8e-04 (1250)	12060308627.9291
0.0016 (625)	16955330829.18
0.0024 (416.6667)	46937634260.0942
0.0032 (312.5)	15391833059.2674
0.004 (250)	14281434643.2469
0.0048 (208.3333)	6517287863.99297
0.0056 (178.5714)	96638287518.52
0.0064 (156.25)	5783580193.09126
0.0072 (138.8889)	5766007791.68078
0.008 (125)	20142567305.7952
0.0088 (113.6364)	4458812271.39187
0.0096 (104.1667)	4590537251.17344
0.0104 (96.1538)	5519705461.71684
0.0112 (89.2857)	879136994.871165
0.012 (83.3333)	6165604005.72888
0.0128 (78.125)	2362459012.72375
0.0136 (73.5294)	5022347237.5431
0.0144 (69.4444)	3019200552.88633
0.0152 (65.7895)	1256115388.27803
0.016 (62.5)	28382241.902086
0.0168 (59.5238)	4453286556.33034
0.0176 (56.8182)	893806678.815782
0.0184 (54.3478)	2510070833.07877
0.0192 (52.0833)	11661254677.9318
0.02 (50)	4578538222.47006
0.0208 (48.0769)	1426671630.64816
0.0216 (46.2963)	20120530344.4421
0.0224 (44.6429)	5282210701.27236
0.0232 (43.1034)	5154553401.97045
0.024 (41.6667)	6959370822.47405
0.0248 (40.3226)	689769126.626058
0.0256 (39.0625)	2961369309.97155
0.0264 (37.8788)	4397012290.75594
0.0272 (36.7647)	712873989.845951
0.028 (35.7143)	2391824904.80015
0.0288 (34.7222)	4608274293.39079
0.0296 (33.7838)	143028178.801487
0.0304 (32.8947)	2034502492.1849
0.0312 (32.0513)	1809277541.0392
0.032 (31.25)	3003031291.87955
0.0328 (30.4878)	4425067293.63462
0.0336 (29.7619)	847673194.728486
0.0344 (29.0698)	1725969881.90762
0.0352 (28.4091)	5354857898.48832
0.036 (27.7778)	296532413.458158
0.0368 (27.1739)	1559183166.2522
0.0376 (26.5957)	1420755709.85094
0.0384 (26.0417)	585342537.560923
0.0392 (25.5102)	1654739177.44864
0.04 (25)	567064409.805503
0.0408 (24.5098)	461072232.724419
0.0416 (24.0385)	1017550149.52642
0.0424 (23.5849)	1003043293.55483
0.0432 (23.1481)	318912527.900961
0.044 (22.7273)	1230167200.18959
0.0448 (22.3214)	2125669516.34783
0.0456 (21.9298)	1258069011.76799
0.0464 (21.5517)	965977875.47006
0.0472 (21.1864)	683905047.233305
0.048 (20.8333)	909292293.280783
0.0488 (20.4918)	1022144794.92138
0.0496 (20.1613)	588175280.334512
0.0504 (19.8413)	539708781.124868
0.0512 (19.5312)	1523179786.58249
0.052 (19.2308)	789203518.149369
0.0528 (18.9394)	152229889.38246
0.0536 (18.6567)	553256532.075421
0.0544 (18.3824)	356362245.980514
0.0552 (18.1159)	344164049.111298
0.056 (17.8571)	121681042.945655
0.0568 (17.6056)	328080826.276182
0.0576 (17.3611)	1633465142.99449
0.0584 (17.1233)	85536167.438433
0.0592 (16.8919)	594192953.728935
0.06 (16.6667)	2166234457.24564
0.0608 (16.4474)	231746127.278829
0.0616 (16.2338)	1145970855.21084
0.0624 (16.0256)	1344258055.82023
0.0632 (15.8228)	991366602.99913
0.064 (15.625)	369059691.925237
0.0648 (15.4321)	1027367534.30225
0.0656 (15.2439)	182736140.347402
0.0664 (15.0602)	142762320.465752
0.0672 (14.881)	794729992.228226
0.068 (14.7059)	287705405.253141
0.0688 (14.5349)	398830319.306953
0.0696 (14.3678)	1190114573.82496
0.0704 (14.2045)	1271209509.47066
0.0712 (14.0449)	206267717.377306
0.072 (13.8889)	394193542.775017
0.0728 (13.7363)	85112127.815069
0.0736 (13.587)	191130212.559128
0.0744 (13.4409)	7113093.276875
0.0752 (13.2979)	103580165.402785
0.076 (13.1579)	933355907.402749
0.0768 (13.0208)	45602913.104237
0.0776 (12.8866)	285686951.156812
0.0784 (12.7551)	276650285.872667
0.0792 (12.6263)	106000805.102152
0.08 (12.5)	114259803.172105
0.0808 (12.3762)	15313238.663286
0.0816 (12.2549)	426744252.532625
0.0824 (12.1359)	599255147.33464
0.0832 (12.0192)	21088902.281701
0.084 (11.9048)	212534635.811424
0.0848 (11.7925)	233957208.432879
0.0856 (11.6822)	29586488.404389
0.0864 (11.5741)	25575498.668688
0.0872 (11.4679)	37528999.607259
0.088 (11.3636)	590279959.961852
0.0888 (11.2613)	117704290.081891
0.0896 (11.1607)	75499359.688448
0.0904 (11.0619)	968704778.775222
0.0912 (10.9649)	397210931.013161
0.092 (10.8696)	2042096.938367
0.0928 (10.7759)	264340634.094809
0.0936 (10.6838)	52329604.299403
0.0944 (10.5932)	162711808.064884
0.0952 (10.5042)	45864474.385812
0.096 (10.4167)	332562955.388401
0.0968 (10.3306)	245578592.159971
0.0976 (10.2459)	38473650.201898
0.0984 (10.1626)	2447144.909659
0.0992 (10.0806)	4608956.717884
0.1 (10)	11350193.551898
0.1008 (9.9206)	22345599.414802
0.1016 (9.8425)	202685548.014522
0.1024 (9.7656)	132882268.697292
0.1032 (9.6899)	160723409.619523
0.104 (9.6154)	425888444.247716
0.1048 (9.542)	39468020.109058
0.1056 (9.4697)	53663212.634933
0.1064 (9.3985)	84249539.087879
0.1072 (9.3284)	312694464.101797
0.108 (9.2593)	435621690.52057
0.1088 (9.1912)	15020701.383015
0.1096 (9.1241)	521760583.960072
0.1104 (9.058)	270651356.723386
0.1112 (8.9928)	34051564.275917
0.112 (8.9286)	293247469.221477
0.1128 (8.8652)	195352812.205347
0.1136 (8.8028)	35478584.654577
0.1144 (8.7413)	433680743.022673
0.1152 (8.6806)	170314329.878625
0.116 (8.6207)	124122908.969564
0.1168 (8.5616)	650199920.271705
0.1176 (8.5034)	87495846.860863
0.1184 (8.4459)	529874701.463443
0.1192 (8.3893)	240920623.848173
0.12 (8.3333)	17866874.636038
0.1208 (8.2781)	1171625857.96517
0.1216 (8.2237)	374210455.824412
0.1224 (8.1699)	137616789.830248
0.1232 (8.1169)	328576041.366563
0.124 (8.0645)	331962739.572378
0.1248 (8.0128)	101488282.594882
0.1256 (7.9618)	16873183.023555
0.1264 (7.9114)	131748313.308667
0.1272 (7.8616)	379560854.966946
0.128 (7.8125)	133294885.70997
0.1288 (7.764)	406398485.531839
0.1296 (7.716)	56560197.892465
0.1304 (7.6687)	253740329.043367
0.1312 (7.622)	247890169.292617
0.132 (7.5758)	239741716.775139
0.1328 (7.5301)	213408812.984452
0.1336 (7.485)	181790626.617865
0.1344 (7.4405)	1315964372.99699
0.1352 (7.3964)	189255496.526845
0.136 (7.3529)	336465067.887313
0.1368 (7.3099)	1287058932.50125
0.1376 (7.2674)	236756333.561619
0.1384 (7.2254)	638518621.795749
0.1392 (7.1839)	250693371.425069
0.14 (7.1429)	1324088756.47718
0.1408 (7.1023)	3286927519.45739
0.1416 (7.0621)	6606524058.41145
0.1424 (7.0225)	54744299470.4957
0.1432 (6.9832)	81119886550.8079
0.144 (6.9444)	6037477958.7796
0.1448 (6.9061)	917966077.985174
0.1456 (6.8681)	50253226.488896
0.1464 (6.8306)	699696224.137275
0.1472 (6.7935)	35232578.232874
0.148 (6.7568)	1538106491.6367
0.1488 (6.7204)	1184781432.6613
0.1496 (6.6845)	597712547.911831
0.1504 (6.6489)	335087202.195723
0.1512 (6.6138)	435366379.715227
0.152 (6.5789)	93262026.331001
0.1528 (6.5445)	104630534.647935
0.1536 (6.5104)	60318548.160749
0.1544 (6.4767)	274819717.829281
0.1552 (6.4433)	98487744.447698
0.156 (6.4103)	247488699.521871
0.1568 (6.3776)	9079776.573815
0.1576 (6.3452)	211778009.79918
0.1584 (6.3131)	11907912.387497
0.1592 (6.2814)	168584470.701966
0.16 (6.25)	354761269.735543
0.1608 (6.2189)	119655771.700598
0.1616 (6.1881)	65410354.595711
0.1624 (6.1576)	391405375.275251
0.1632 (6.1275)	189458471.043767
0.164 (6.0976)	32108406.01008
0.1648 (6.068)	648311764.884036
0.1656 (6.0386)	607232248.518072
0.1664 (6.0096)	59078250.937347
0.1672 (5.9809)	708936199.069584
0.168 (5.9524)	280154657.376322
0.1688 (5.9242)	86000203.80314
0.1696 (5.8962)	101491404.138206
0.1704 (5.8685)	7528255.048701
0.1712 (5.8411)	200585102.29924
0.172 (5.814)	193713843.271494
0.1728 (5.787)	53379808.998
0.1736 (5.7604)	49995002.740922
0.1744 (5.7339)	416510296.219721
0.1752 (5.7078)	229201755.03172
0.176 (5.6818)	142325776.211093
0.1768 (5.6561)	143563685.397868
0.1776 (5.6306)	112125810.408683
0.1784 (5.6054)	162386886.655346
0.1792 (5.5804)	100005265.275423
0.18 (5.5556)	29325921.853231
0.1808 (5.531)	249079498.685843
0.1816 (5.5066)	107439939.115134
0.1824 (5.4825)	2694389.977979
0.1832 (5.4585)	65911452.034442
0.184 (5.4348)	24783740.976792
0.1848 (5.4113)	112672727.45862
0.1856 (5.3879)	3256253.242149
0.1864 (5.3648)	4321521.108635
0.1872 (5.3419)	8494163.907731
0.188 (5.3191)	126478793.801328
0.1888 (5.2966)	65869779.492685
0.1896 (5.2743)	113789606.795138
0.1904 (5.2521)	5380510.396585
0.1912 (5.2301)	493367.499396
0.192 (5.2083)	13330235.607408
0.1928 (5.1867)	37328794.667324
0.1936 (5.1653)	107415136.952941
0.1944 (5.144)	15126541.955978
0.1952 (5.123)	35576354.309321
0.196 (5.102)	53087454.112437
0.1968 (5.0813)	59774190.205532
0.1976 (5.0607)	130675002.579443
0.1984 (5.0403)	42953382.728647
0.1992 (5.0201)	48431497.324097
0.2 (5)	5738984.441673
0.2008 (4.9801)	43629667.389424
0.2016 (4.9603)	36865255.828823
0.2024 (4.9407)	46793520.625474
0.2032 (4.9213)	339828614.334487
0.204 (4.902)	15502586.855093
0.2048 (4.8828)	12300069.563659
0.2056 (4.8638)	213170213.586783
0.2064 (4.845)	55998885.292711
0.2072 (4.8263)	95652420.422654
0.208 (4.8077)	80202604.80786
0.2088 (4.7893)	23813450.115533
0.2096 (4.771)	138425359.298984
0.2104 (4.7529)	104934079.626161
0.2112 (4.7348)	65588503.464619
0.212 (4.717)	16280968.420861
0.2128 (4.6992)	178727472.642349
0.2136 (4.6816)	161038934.888113
0.2144 (4.6642)	64566988.4182
0.2152 (4.6468)	165518911.582747
0.216 (4.6296)	8492734.317324
0.2168 (4.6125)	26170328.803525
0.2176 (4.5956)	66179722.400059
0.2184 (4.5788)	129499639.858737
0.2192 (4.562)	49123516.998563
0.22 (4.5455)	70075857.011771
0.2208 (4.529)	4840638.421271
0.2216 (4.5126)	22975076.338024
0.2224 (4.4964)	5102297.922314
0.2232 (4.4803)	28723193.436626
0.224 (4.4643)	36368521.423431
0.2248 (4.4484)	23285261.320986
0.2256 (4.4326)	47620321.757387
0.2264 (4.417)	36008336.04851
0.2272 (4.4014)	277796424.602851
0.228 (4.386)	1315699.862634
0.2288 (4.3706)	43127423.519209
0.2296 (4.3554)	147063131.875627
0.2304 (4.3403)	139459474.932037
0.2312 (4.3253)	37238837.905258
0.232 (4.3103)	88884100.147195
0.2328 (4.2955)	130916114.127891
0.2336 (4.2808)	27803686.897788
0.2344 (4.2662)	97318406.32898
0.2352 (4.2517)	56898169.446878
0.236 (4.2373)	180905747.614969
0.2368 (4.223)	7358358.205886
0.2376 (4.2088)	21447569.245196
0.2384 (4.1946)	41479237.13081
0.2392 (4.1806)	92091232.379348
0.24 (4.1667)	17194901.794426
0.2408 (4.1528)	3589787.51344
0.2416 (4.1391)	13821168.396497
0.2424 (4.1254)	36474762.832025
0.2432 (4.1118)	31515401.879569
0.244 (4.0984)	126768977.956444
0.2448 (4.085)	66092039.971657
0.2456 (4.0717)	72991847.259303
0.2464 (4.0584)	187278145.135863
0.2472 (4.0453)	93041816.385451
0.248 (4.0323)	139743860.072214
0.2488 (4.0193)	51875599.894709
0.2496 (4.0064)	62635166.952952
0.2504 (3.9936)	30245714.793222
0.2512 (3.9809)	56295407.08991
0.252 (3.9683)	117509054.716656
0.2528 (3.9557)	48655709.137907
0.2536 (3.9432)	14974825.835024
0.2544 (3.9308)	54672841.305195
0.2552 (3.9185)	140714763.381887
0.256 (3.9062)	141035151.721487
0.2568 (3.8941)	18839501.488215
0.2576 (3.882)	172550715.106078
0.2584 (3.87)	104038479.747936
0.2592 (3.858)	36615325.034041
0.26 (3.8462)	100226704.419605
0.2608 (3.8344)	96519148.560733
0.2616 (3.8226)	39238209.057047
0.2624 (3.811)	4853798.968537
0.2632 (3.7994)	80539282.404146
0.264 (3.7879)	26274124.890579
0.2648 (3.7764)	32664966.940472
0.2656 (3.7651)	38994437.623091
0.2664 (3.7538)	122217065.027056
0.2672 (3.7425)	12564433.984466
0.268 (3.7313)	146674350.093468
0.2688 (3.7202)	86776633.821768
0.2696 (3.7092)	9154435.841821
0.2704 (3.6982)	13810908.928217
0.2712 (3.6873)	46881339.392835
0.272 (3.6765)	9012773.922617
0.2728 (3.6657)	18564018.168516
0.2736 (3.655)	112283791.74189
0.2744 (3.6443)	47421628.592113
0.2752 (3.6337)	76390471.011834
0.276 (3.6232)	66822651.65871
0.2768 (3.6127)	65905485.673464
0.2776 (3.6023)	259614190.33979
0.2784 (3.592)	16487226.132682
0.2792 (3.5817)	140124111.00008
0.28 (3.5714)	244177280.59992
0.2808 (3.5613)	414379613.514842
0.2816 (3.5511)	31834009.456366
0.2824 (3.5411)	82213245.848277
0.2832 (3.5311)	244697910.489432
0.284 (3.5211)	157981620.678412
0.2848 (3.5112)	34047509.899064
0.2856 (3.5014)	14490033282.2216
0.2864 (3.4916)	2559430841.61005
0.2872 (3.4819)	183646512.970003
0.288 (3.4722)	385033325.191606
0.2888 (3.4626)	145204561.081926
0.2896 (3.453)	20103580.900203
0.2904 (3.4435)	2682652.930167
0.2912 (3.4341)	295358210.022317
0.292 (3.4247)	182193074.438177
0.2928 (3.4153)	193815162.857751
0.2936 (3.406)	146596145.940455
0.2944 (3.3967)	79479362.847781
0.2952 (3.3875)	658626.752829
0.296 (3.3784)	15069836.174992
0.2968 (3.3693)	212904920.246682
0.2976 (3.3602)	39376735.97573
0.2984 (3.3512)	141686451.987813
0.2992 (3.3422)	48353956.58889
0.3 (3.3333)	1298808.729607
0.3008 (3.3245)	1984692.334841
0.3016 (3.3156)	17984497.546357
0.3024 (3.3069)	24438545.880568
0.3032 (3.2982)	24997258.892556
0.304 (3.2895)	4734561.744356
0.3048 (3.2808)	133693975.539462
0.3056 (3.2723)	111070533.920368
0.3064 (3.2637)	16058457.05448
0.3072 (3.2552)	31651669.460293
0.308 (3.2468)	38692523.03747
0.3088 (3.2383)	22020740.411546
0.3096 (3.23)	16265176.390447
0.3104 (3.2216)	52054411.066744
0.3112 (3.2134)	1784629.907416
0.312 (3.2051)	16617017.810925
0.3128 (3.1969)	35657133.783509
0.3136 (3.1888)	2644904.841798
0.3144 (3.1807)	36360588.454145
0.3152 (3.1726)	33815150.418538
0.316 (3.1646)	15215667.895405
0.3168 (3.1566)	20779642.576644
0.3176 (3.1486)	36294524.842049
0.3184 (3.1407)	142907580.900047
0.3192 (3.1328)	60869310.392689
0.32 (3.125)	29423535.437758
0.3208 (3.1172)	1928251.393218
0.3216 (3.1095)	15712674.216179
0.3224 (3.1017)	6530937.50137
0.3232 (3.0941)	4476921.045678
0.324 (3.0864)	40731716.853573
0.3248 (3.0788)	55902942.631174
0.3256 (3.0713)	21184481.639255
0.3264 (3.0637)	20747306.321737
0.3272 (3.0562)	166007215.360708
0.328 (3.0488)	103942885.324718
0.3288 (3.0414)	46699323.961278
0.3296 (3.034)	34583304.511718
0.3304 (3.0266)	69209859.885482
0.3312 (3.0193)	10137765.878981
0.332 (3.012)	18271507.588466
0.3328 (3.0048)	3039762.83643
0.3336 (2.9976)	2188300.503382
0.3344 (2.9904)	65913097.307791
0.3352 (2.9833)	29002028.238747
0.336 (2.9762)	4696933.971426
0.3368 (2.9691)	57838781.145415
0.3376 (2.9621)	57094870.154367
0.3384 (2.9551)	30427189.99865
0.3392 (2.9481)	7173957.091085
0.34 (2.9412)	31230460.728351
0.3408 (2.9343)	22009693.46929
0.3416 (2.9274)	31280497.445079
0.3424 (2.9206)	17632500.369664
0.3432 (2.9138)	46942407.939006
0.344 (2.907)	32927319.772815
0.3448 (2.9002)	41213301.385664
0.3456 (2.8935)	64364853.030193
0.3464 (2.8868)	70587349.170874
0.3472 (2.8802)	10602665.516258
0.348 (2.8736)	44430537.530509
0.3488 (2.867)	78126418.870502
0.3496 (2.8604)	38232387.882207
0.3504 (2.8539)	150184651.021157
0.3512 (2.8474)	88773622.254663
0.352 (2.8409)	13073109.233871
0.3528 (2.8345)	66133357.029675
0.3536 (2.8281)	120584848.026962
0.3544 (2.8217)	75745890.724659
0.3552 (2.8153)	12435621.528583
0.356 (2.809)	30668476.902016
0.3568 (2.8027)	61629312.31762
0.3576 (2.7964)	5276526.055215
0.3584 (2.7902)	2466689.451753
0.3592 (2.784)	5967318.24944
0.36 (2.7778)	23918776.161642
0.3608 (2.7716)	115240160.123974
0.3616 (2.7655)	39735867.812127
0.3624 (2.7594)	3024643.607967
0.3632 (2.7533)	19877893.974573
0.364 (2.7473)	7630795.504495
0.3648 (2.7412)	28535775.293173
0.3656 (2.7352)	683714.737699
0.3664 (2.7293)	13169312.923426
0.3672 (2.7233)	4511719.688799
0.368 (2.7174)	3364152.792423
0.3688 (2.7115)	28905327.650251
0.3696 (2.7056)	182311.251134
0.3704 (2.6998)	9097099.966991
0.3712 (2.694)	13057175.508683
0.372 (2.6882)	13909442.790933
0.3728 (2.6824)	24988078.139981
0.3736 (2.6767)	2766356.24283
0.3744 (2.6709)	58069690.191048
0.3752 (2.6652)	14994928.926236
0.376 (2.6596)	10771221.444375
0.3768 (2.6539)	27387572.324981
0.3776 (2.6483)	22362134.271548
0.3784 (2.6427)	38322403.809464
0.3792 (2.6371)	41772811.712541
0.38 (2.6316)	53855502.79264
0.3808 (2.6261)	14602087.926251
0.3816 (2.6205)	21518803.272783
0.3824 (2.6151)	11049853.253996
0.3832 (2.6096)	22825708.066509
0.384 (2.6042)	41761888.916941
0.3848 (2.5988)	10288792.709306
0.3856 (2.5934)	23298836.758019
0.3864 (2.588)	27482500.02403
0.3872 (2.5826)	15186069.768093
0.388 (2.5773)	14119206.138255
0.3888 (2.572)	43461388.22909
0.3896 (2.5667)	9157720.172808
0.3904 (2.5615)	55195152.374251
0.3912 (2.5562)	59167461.867562
0.392 (2.551)	30328721.082905
0.3928 (2.5458)	863882.375025
0.3936 (2.5407)	29601857.969207
0.3944 (2.5355)	36161619.819957
0.3952 (2.5304)	8203602.312228
0.396 (2.5253)	13945093.245375
0.3968 (2.5202)	18643115.373268
0.3976 (2.5151)	4290658.874425
0.3984 (2.51)	768406.503084
0.3992 (2.505)	9592295.767006
0.4 (2.5)	10966500.893565
0.4008 (2.495)	35620602.570398
0.4016 (2.49)	5119696.686874
0.4024 (2.4851)	69075008.479822
0.4032 (2.4802)	70183898.196758
0.404 (2.4752)	9336031.685742
0.4048 (2.4704)	35943541.489451
0.4056 (2.4655)	23421172.969385
0.4064 (2.4606)	2055109.48889
0.4072 (2.4558)	18366430.595738
0.408 (2.451)	7361812.827999
0.4088 (2.4462)	74692359.476536
0.4096 (2.4414)	33497050.122307
0.4104 (2.4366)	22652136.488361
0.4112 (2.4319)	136282809.815183
0.412 (2.4272)	10901163.030475
0.4128 (2.4225)	37872656.140047
0.4136 (2.4178)	2247027.851716
0.4144 (2.4131)	152770663.699662
0.4152 (2.4085)	55003116.398168
0.416 (2.4038)	13042592.561072
0.4168 (2.3992)	172701393.731632
0.4176 (2.3946)	4827062.307019
0.4184 (2.3901)	7819598.219755
0.4192 (2.3855)	73239752.338628
0.42 (2.381)	89029951.985657
0.4208 (2.3764)	71111789.903701
0.4216 (2.3719)	40859799.559856
0.4224 (2.3674)	48852959.328362
0.4232 (2.3629)	13432283.465998
0.424 (2.3585)	20610143.839582
0.4248 (2.354)	2260246.42308
0.4256 (2.3496)	21764456.617035
0.4264 (2.3452)	11149023.999776
0.4272 (2.3408)	211790494.186433
0.428 (2.3364)	28673713.164908
0.4288 (2.3321)	496081981.467932
0.4296 (2.3277)	128500438.031176
0.4304 (2.3234)	30920060.503319
0.4312 (2.3191)	18822073.205847
0.432 (2.3148)	46161928.707645
0.4328 (2.3105)	19391381.733099
0.4336 (2.3063)	13617723.053986
0.4344 (2.302)	20313653.91082
0.4352 (2.2978)	85781676.748197
0.436 (2.2936)	61982284.436191
0.4368 (2.2894)	49114022.556431
0.4376 (2.2852)	102068981.440585
0.4384 (2.281)	57089865.764199
0.4392 (2.2769)	169661085.639196
0.44 (2.2727)	45856923.080973
0.4408 (2.2686)	275931618.472693
0.4416 (2.2645)	5193678.719313
0.4424 (2.2604)	90703576.883022
0.4432 (2.2563)	176713235.739231
0.444 (2.2523)	2256381.700731
0.4448 (2.2482)	8792296.137581
0.4456 (2.2442)	25213331.142191
0.4464 (2.2401)	97419548.919151
0.4472 (2.2361)	16840307.68682
0.448 (2.2321)	7078063.397971
0.4488 (2.2282)	1297192.593713
0.4496 (2.2242)	9675440.072291
0.4504 (2.2202)	18692981.222708
0.4512 (2.2163)	50044513.945129
0.452 (2.2124)	29802881.334989
0.4528 (2.2085)	126630438.342756
0.4536 (2.2046)	6338787.28352
0.4544 (2.2007)	46196867.764718
0.4552 (2.1968)	22898156.819779
0.456 (2.193)	74715447.022521
0.4568 (2.1891)	14676224.774483
0.4576 (2.1853)	18607564.484408
0.4584 (2.1815)	85795791.605323
0.4592 (2.1777)	16628644.930507
0.46 (2.1739)	40487153.229356
0.4608 (2.1701)	44040707.352274
0.4616 (2.1664)	11412059.638846
0.4624 (2.1626)	3127124.898983
0.4632 (2.1589)	50962417.1357
0.464 (2.1552)	5056716.309596
0.4648 (2.1515)	722638.42885
0.4656 (2.1478)	2469222.742646
0.4664 (2.1441)	39771458.473067
0.4672 (2.1404)	60598886.029694
0.468 (2.1368)	65634119.918642
0.4688 (2.1331)	79462153.333129
0.4696 (2.1295)	2830015.213682
0.4704 (2.1259)	37412066.024885
0.4712 (2.1222)	22950946.555075
0.472 (2.1186)	5512288.656124
0.4728 (2.1151)	40930176.379539
0.4736 (2.1115)	12281484.311666
0.4744 (2.1079)	19763755.919834
0.4752 (2.1044)	8507530.851289
0.476 (2.1008)	42617256.210509
0.4768 (2.0973)	58645079.674013
0.4776 (2.0938)	7472888.857118
0.4784 (2.0903)	10907323.29026
0.4792 (2.0868)	8740504.265424
0.48 (2.0833)	20031385.59847
0.4808 (2.0799)	16491980.276543
0.4816 (2.0764)	45749634.062387
0.4824 (2.073)	16958199.519155
0.4832 (2.0695)	4403770.372227
0.484 (2.0661)	61455906.450166
0.4848 (2.0627)	12018064.772605
0.4856 (2.0593)	54365474.607122
0.4864 (2.0559)	23033752.763351
0.4872 (2.0525)	141030755.94861
0.488 (2.0492)	11630402.777387
0.4888 (2.0458)	57562952.033352
0.4896 (2.0425)	143367821.413752
0.4904 (2.0392)	21272423.180732
0.4912 (2.0358)	14370458.385119
0.492 (2.0325)	11862806.763753
0.4928 (2.0292)	29732399.429799
0.4936 (2.0259)	4596597.420983
0.4944 (2.0227)	15863399.242867
0.4952 (2.0194)	32052816.162793
0.496 (2.0161)	11142252.298013
0.4968 (2.0129)	38091321.137389
0.4976 (2.0096)	89432249.763894
0.4984 (2.0064)	16421791.025432
0.4992 (2.0032)	55975929.370284
0.5 (2)	398011.946537

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ;

Parameters (R input):

par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
if (par1 == 0) {
x <- log(x)
} else {
x <- (x ^ par1 - 1) / par1
}
if (par2 > 0) x <- diff(x,lag=1,difference=par2)
if (par3 > 0) x <- diff(x,lag=par4,difference=par3)
bitmap(file='test1.png')
r <- spectrum(x,main='Raw Periodogram')
dev.off()
bitmap(file='test2.png')
cpgram(x,main='Cumulative Periodogram')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Raw Periodogram',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Box-Cox transformation parameter (lambda)',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of non-seasonal differencing (d)',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of seasonal differencing (D)',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Seasonal Period (s)',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Frequency (Period)',header=TRUE)
a<-table.element(a,'Spectrum',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(r$freq)) {
a<-table.row.start(a)
mylab <- round(r$freq[i],4)
mylab <- paste(mylab,' (',sep='')
mylab <- paste(mylab,round(1/r$freq[i],4),sep='')
mylab <- paste(mylab,')',sep='')
a<-table.element(a,mylab,header=TRUE)
a<-table.element(a,round(r$spec[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code