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# Fourier Analysis of SCC (ProShares UltraShort Consumer Services)

SCC (ProShares UltraShort Consumer Services) appears to have interesting cyclic behaviour every 45 weeks (41.5589*sine), 42 weeks (31.6673*sine), and 49 weeks (28.4849*cosine).

SCC (ProShares UltraShort Consumer Services) has an average price of 380.9 (topmost row, frequency = 0).

Click on the checkboxes shown on the right to see how the various frequencies contribute to the graph. Look for large magnitude coefficients (sine or cosine), as these are associated with frequencies which contribute most to the associated stock plot. If you find a large magnitude coefficient which dramatically changes the graph, look at the associated "Period" in weeks, as you may have found a significant recurring cycle for the stock of interest.

## Fourier Analysis

Using data from 2/2/2007 to 4/16/2018 for SCC (ProShares UltraShort Consumer Services), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0380.899   0
1210.091 449.447 (1*2π)/586586 weeks
2-72.79527 267.0656 (2*2π)/586293 weeks
3-122.6829 93.31493 (3*2π)/586195 weeks
4-50.64579 -12.84268 (4*2π)/586147 weeks
526.98567 -5.73164 (5*2π)/586117 weeks
645.54882 41.64655 (6*2π)/58698 weeks
79.71507 69.78327 (7*2π)/58684 weeks
8-35.01382 49.01646 (8*2π)/58673 weeks
9-24.91932 -1.1518 (9*2π)/58665 weeks
107.97925 -3.51326 (10*2π)/58659 weeks
1118.74823 5.54564 (11*2π)/58653 weeks
1228.48488 23.70323 (12*2π)/58649 weeks
139.87912 41.55893 (13*2π)/58645 weeks
14-10.08953 31.66729 (14*2π)/58642 weeks
15-10.98011 15.83906 (15*2π)/58639 weeks
16-4.09782 8.33872 (16*2π)/58637 weeks
17.97925 9.09771 (17*2π)/58634 weeks
181.18445 6.03515 (18*2π)/58633 weeks
1910.85863 10.39723 (19*2π)/58631 weeks
203.75096 17.7216 (20*2π)/58629 weeks
21-1.29627 11.17713 (21*2π)/58628 weeks
224.59361 8.14995 (22*2π)/58627 weeks
234.11821 13.87508 (23*2π)/58625 weeks
24-1.56847 9.94505 (24*2π)/58624 weeks
255.75423 5.46672 (25*2π)/58623 weeks
2610.46462 11.81007 (26*2π)/58623 weeks
276.76429 22.22684 (27*2π)/58622 weeks
28-9.59912 23.31232 (28*2π)/58621 weeks
29-15.37405 8.6464 (29*2π)/58620 weeks
30-10.63947 -4.13897 (30*2π)/58620 weeks
315.70904 -11.06353 (31*2π)/58619 weeks
3221.00929 2.81693 (32*2π)/58618 weeks
3313.92876 24.45516 (33*2π)/58618 weeks
34-7.62835 28.98756 (34*2π)/58617 weeks
35-23.85094 10.57197 (35*2π)/58617 weeks
36-14.57646 -13.72602 (36*2π)/58616 weeks
379.39981 -14.16622 (37*2π)/58616 weeks
3818.33238 1.99596 (38*2π)/58615 weeks
3912.60774 15.97313 (39*2π)/58615 weeks
40-.52948 17.59673 (40*2π)/58615 weeks
41-6.96205 10.51601 (41*2π)/58614 weeks
42-5.89746 2.80443 (42*2π)/58614 weeks
43-1.107 -1.36367 (43*2π)/58614 weeks
446.24012 1.82335 (44*2π)/58613 weeks
454.01072 7.17467 (45*2π)/58613 weeks
462.23889 5.70387 (46*2π)/58613 weeks
471.86749 7.12116 (47*2π)/58612 weeks
481.87408 5.91292 (48*2π)/58612 weeks
491.72324 8.73655 (49*2π)/58612 weeks
50-3.08748 8.3977 (50*2π)/58612 weeks
51-2.38803 4.18184 (51*2π)/58611 weeks
52-1.94715 3.04558 (52*2π)/58611 weeks
53-.2566 2.36856 (53*2π)/58611 weeks
541.35389 3.1793 (54*2π)/58611 weeks
55-.01172 5.46219 (55*2π)/58611 weeks
56-2.32502 2.78413 (56*2π)/58610 weeks
57-1.91888 .91779 (57*2π)/58610 weeks
58.28926 -2.40304 (58*2π)/58610 weeks
597.12117 -1.23973 (59*2π)/58610 weeks
607.41261 7.11341 (60*2π)/58610 weeks
611.19735 8.15691 (61*2π)/58610 weeks
62-1.31204 5.23749 (62*2π)/5869 weeks
63-.64686 2.9159 (63*2π)/5869 weeks
641.57545 1.9747 (64*2π)/5869 weeks
652.47282 5.71555 (65*2π)/5869 weeks
66-2.71388 6.06399 (66*2π)/5869 weeks
67-3.19425 1.06761 (67*2π)/5869 weeks
68-.71951 -2.1487 (68*2π)/5869 weeks
694.67545 -1.17883 (69*2π)/5868 weeks
705.26192 3.66607 (70*2π)/5868 weeks
711.04109 4.28236 (71*2π)/5868 weeks
722.2997 2.53285 (72*2π)/5868 weeks
731.6645 2.74452 (73*2π)/5868 weeks
744.52933 3.06348 (74*2π)/5868 weeks
753.12308 8.40131 (75*2π)/5868 weeks
76-3.53837 7.96965 (76*2π)/5868 weeks
77-6.28524 1.54248 (77*2π)/5868 weeks
78-2.70597 -3.93903 (78*2π)/5868 weeks
794.86658 -3.0134 (79*2π)/5867 weeks
805.43092 3.56424 (80*2π)/5867 weeks
811.61741 3.87309 (81*2π)/5867 weeks
821.38495 5.06563 (82*2π)/5867 weeks
83-3.96612 3.18145 (83*2π)/5867 weeks
84-1.39405 -3.8602 (84*2π)/5867 weeks
855.36927 -2.83145 (85*2π)/5867 weeks
867.36868 1.74211 (86*2π)/5867 weeks
875.48253 6.70428 (87*2π)/5867 weeks
88.20046 7.34503 (88*2π)/5867 weeks
89-2.70922 4.99526 (89*2π)/5867 weeks
90-4.61435 .03238 (90*2π)/5867 weeks
911.03829 -4.83631 (91*2π)/5866 weeks
927.17911 -1.43264 (92*2π)/5866 weeks
937.58454 4.51736 (93*2π)/5866 weeks
942.68117 7.60189 (94*2π)/5866 weeks
95-1.07266 5.89561 (95*2π)/5866 weeks
96-1.94668 2.93574 (96*2π)/5866 weeks
97-.4712 .67609 (97*2π)/5866 weeks
981.47271 .78545 (98*2π)/5866 weeks
991.56686 2.26799 (99*2π)/5866 weeks
100.88515 1.28215 (100*2π)/5866 weeks
1012.92389 2.16603 (101*2π)/5866 weeks
1021.02537 4.86821 (102*2π)/5866 weeks
103-2.32893 3.2371 (103*2π)/5866 weeks
104-2.71685 -.87495 (104*2π)/5866 weeks
1051.36724 -3.72908 (105*2π)/5866 weeks
1066.43908 -1.17316 (106*2π)/5866 weeks
1076.12972 4.59674 (107*2π)/5865 weeks
1081.39311 7.48799 (108*2π)/5865 weeks
109-4.15379 4.57544 (109*2π)/5865 weeks
110-4.20758 -2.12085 (110*2π)/5865 weeks
1111.89353 -5.23894 (111*2π)/5865 weeks
1127.37724 -2.34043 (112*2π)/5865 weeks
1138.03458 4.53748 (113*2π)/5865 weeks
1142.94503 8.00128 (114*2π)/5865 weeks
115-2.82501 6.57783 (115*2π)/5865 weeks
116-5.04203 .59173 (116*2π)/5865 weeks
117-.69829 -4.52449 (117*2π)/5865 weeks
1186.05752 -3.34419 (118*2π)/5865 weeks
1197.50978 3.02955 (119*2π)/5865 weeks
1203.46521 6.70312 (120*2π)/5865 weeks
121-.72411 6.24708 (121*2π)/5865 weeks
122-3.56503 2.35607 (122*2π)/5865 weeks
123-1.32883 -1.80173 (123*2π)/5865 weeks
1242.5994 -1.97553 (124*2π)/5865 weeks
1254.17827 .75697 (125*2π)/5865 weeks
1263.67383 3.22935 (126*2π)/5865 weeks
127.97466 4.60116 (127*2π)/5865 weeks
128-1.47401 2.62502 (128*2π)/5865 weeks
129-1.37808 -1.06212 (129*2π)/5865 weeks
1302.8453 -2.43967 (130*2π)/5865 weeks
1315.85496 .63086 (131*2π)/5864 weeks
1324.32774 5.0196 (132*2π)/5864 weeks
133.40676 5.16389 (133*2π)/5864 weeks
134-1.42301 2.70784 (134*2π)/5864 weeks
135-.76022 .4725 (135*2π)/5864 weeks
136.657 .0152 (136*2π)/5864 weeks
1372.17628 -.18748 (137*2π)/5864 weeks
1383.04263 1.66477 (138*2π)/5864 weeks
1391.62339 3.36101 (139*2π)/5864 weeks
140-.90226 2.38063 (140*2π)/5864 weeks
141-.81979 -.96805 (141*2π)/5864 weeks
1422.82346 -1.62983 (142*2π)/5864 weeks
1434.69104 .67031 (143*2π)/5864 weeks
1444.57124 3.28355 (144*2π)/5864 weeks
1451.62557 5.63363 (145*2π)/5864 weeks
146-1.53095 3.61928 (146*2π)/5864 weeks
147-.89833 1.17235 (147*2π)/5864 weeks
148-.32254 .41075 (148*2π)/5864 weeks
149.83567 -.29638 (149*2π)/5864 weeks
1501.35217 .1648 (150*2π)/5864 weeks
1513.28235 .33356 (151*2π)/5864 weeks
1522.89621 3.95566 (152*2π)/5864 weeks
153-1.36113 3.43324 (153*2π)/5864 weeks
154-1.3836 -.61304 (154*2π)/5864 weeks
1551.49786 -1.38832 (155*2π)/5864 weeks
1563.73815 .13497 (156*2π)/5864 weeks
1573.3778 3.11358 (157*2π)/5864 weeks
158.31154 3.71762 (158*2π)/5864 weeks
159-1.15954 2.25448 (159*2π)/5864 weeks
160-1.51068 -.45248 (160*2π)/5864 weeks
1611.7307 -1.73615 (161*2π)/5864 weeks
1622.76299 .57778 (162*2π)/5864 weeks
1632.06501 1.11142 (163*2π)/5864 weeks
1641.5627 1.84295 (164*2π)/5864 weeks
165.58643 1.24391 (165*2π)/5864 weeks
1661.10019 .72126 (166*2π)/5864 weeks
1671.15105 .34529 (167*2π)/5864 weeks
1682.57763 .15229 (168*2π)/5863 weeks
1692.49901 2.46952 (169*2π)/5863 weeks
170.39598 1.70689 (170*2π)/5863 weeks
1711.3004 1.10558 (171*2π)/5863 weeks
172.82594 1.54508 (172*2π)/5863 weeks
173.40036 .6885 (173*2π)/5863 weeks
1741.19115 -.16242 (174*2π)/5863 weeks
1752.99541 .66986 (175*2π)/5863 weeks
1762.30948 2.54155 (176*2π)/5863 weeks
177.64213 3.28268 (177*2π)/5863 weeks
178-1.56375 2.06118 (178*2π)/5863 weeks
179-1.41357 -.97055 (179*2π)/5863 weeks
1801.40791 -1.92665 (180*2π)/5863 weeks
1813.20159 -.0945 (181*2π)/5863 weeks
1822.71033 2.00862 (182*2π)/5863 weeks
183.61566 2.80002 (183*2π)/5863 weeks
184-1.03069 .91025 (184*2π)/5863 weeks
185-.23699 -1.0962 (185*2π)/5863 weeks
1861.58236 -1.78467 (186*2π)/5863 weeks
1873.73141 -.75439 (187*2π)/5863 weeks
1884.10463 1.5025 (188*2π)/5863 weeks
1892.63907 3.35125 (189*2π)/5863 weeks
190.06332 3.65769 (190*2π)/5863 weeks
191-1.67034 1.51743 (191*2π)/5863 weeks
192-.88967 -1.28604 (192*2π)/5863 weeks
1932.0349 -2.09951 (193*2π)/5863 weeks
1944.0046 .0593 (194*2π)/5863 weeks
1953.19379 2.64279 (195*2π)/5863 weeks
1961.03339 3.4532 (196*2π)/5863 weeks
197-.82495 1.88472 (197*2π)/5863 weeks
198-.27339 .18123 (198*2π)/5863 weeks
199.57243 -.04372 (199*2π)/5863 weeks
2001.28788 .46165 (200*2π)/5863 weeks
201.82209 1.04625 (201*2π)/5863 weeks
202-.00068 .54263 (202*2π)/5863 weeks
203.02901 -.31409 (203*2π)/5863 weeks
204.94667 -1.09273 (204*2π)/5863 weeks
2051.95553 -.81519 (205*2π)/5863 weeks
2061.87197 -.52794 (206*2π)/5863 weeks
2073.34949 -.87107 (207*2π)/5863 weeks
2084.03252 2.04375 (208*2π)/5863 weeks
2091.50883 2.65453 (209*2π)/5863 weeks
210.84139 1.90678 (210*2π)/5863 weeks
211.35244 1.14591 (211*2π)/5863 weeks
212.95781 .63534 (212*2π)/5863 weeks
213.9054 1.32308 (213*2π)/5863 weeks
214.5764 .3019 (214*2π)/5863 weeks
2151.31448 1.49384 (215*2π)/5863 weeks
216-.7057 1.05102 (216*2π)/5863 weeks
217.03304 -.29188 (217*2π)/5863 weeks
218-.26633 -.7308 (218*2π)/5863 weeks
2191.17403 -2.57801 (219*2π)/5863 weeks
2204.1072 -1.24443 (220*2π)/5863 weeks
2213.80501 1.93124 (221*2π)/5863 weeks
2221.29122 3.19654 (222*2π)/5863 weeks
223-1.20826 1.17709 (223*2π)/5863 weeks
224.00379 -1.87794 (224*2π)/5863 weeks
2252.82665 -1.19102 (225*2π)/5863 weeks
2263.66995 .65744 (226*2π)/5863 weeks
2272.80661 3.04645 (227*2π)/5863 weeks
228-.90391 3.25428 (228*2π)/5863 weeks
229-1.89169 -.30116 (229*2π)/5863 weeks
230.4496 -2.35589 (230*2π)/5863 weeks
2313.22781 -1.48399 (231*2π)/5863 weeks
2323.31504 1.2355 (232*2π)/5863 weeks
2331.19433 1.80365 (233*2π)/5863 weeks
234.95712 .32674 (234*2π)/5863 weeks
2351.95414 .50726 (235*2π)/5862 weeks
2362.0459 1.32506 (236*2π)/5862 weeks
2371.65701 2.03275 (237*2π)/5862 weeks
238-.17735 2.92151 (238*2π)/5862 weeks
239-2.35976 .69226 (239*2π)/5862 weeks
240-.78892 -2.35311 (240*2π)/5862 weeks
2412.31966 -2.54309 (241*2π)/5862 weeks
2424.51775 .33528 (242*2π)/5862 weeks
2431.91411 3.54984 (243*2π)/5862 weeks
244-1.17158 2.1117 (244*2π)/5862 weeks
245-1.59375 -.26197 (245*2π)/5862 weeks
246-.27315 -2.20019 (246*2π)/5862 weeks
2472.56346 -2.29479 (247*2π)/5862 weeks
2483.82518 .27676 (248*2π)/5862 weeks
2492.10091 2.7001 (249*2π)/5862 weeks
250-.9354 2.28485 (250*2π)/5862 weeks
251-1.96635 -.84185 (251*2π)/5862 weeks
252.38764 -3.24257 (252*2π)/5862 weeks
2533.19654 -2.28001 (253*2π)/5862 weeks
2544.43828 -.09438 (254*2π)/5862 weeks
2553.09975 3.04308 (255*2π)/5862 weeks
256.0089 2.43744 (256*2π)/5862 weeks
257-1.01928 .87579 (257*2π)/5862 weeks
258-.67869 -1.4752 (258*2π)/5862 weeks
2591.67758 -1.7215 (259*2π)/5862 weeks
2602.33844 -.66946 (260*2π)/5862 weeks
2612.85503 .55864 (261*2π)/5862 weeks
2621.2686 2.15948 (262*2π)/5862 weeks
263-1.25292 1.00073 (263*2π)/5862 weeks
264-.58398 -1.70452 (264*2π)/5862 weeks
2651.07984 -2.96255 (265*2π)/5862 weeks
2664.0285 -2.12437 (266*2π)/5862 weeks
2674.81555 1.17174 (267*2π)/5862 weeks
2682.35562 3.3769 (268*2π)/5862 weeks
269-.39219 2.85594 (269*2π)/5862 weeks
270-1.79681 1.08039 (270*2π)/5862 weeks
271-2.21371 -1.80254 (271*2π)/5862 weeks
272.40095 -4.02981 (272*2π)/5862 weeks
2734.1395 -3.47951 (273*2π)/5862 weeks
2745.61156 .72818 (274*2π)/5862 weeks
2752.46796 3.41155 (275*2π)/5862 weeks
276-.4165 2.50458 (276*2π)/5862 weeks
277-1.99352 .26078 (277*2π)/5862 weeks
278-.63766 -3.05901 (278*2π)/5862 weeks
2792.89868 -3.39138 (279*2π)/5862 weeks
2804.79781 .03316 (280*2π)/5862 weeks
2812.20582 2.4333 (281*2π)/5862 weeks
282-.24821 1.43598 (282*2π)/5862 weeks
283-.91966 -.94839 (283*2π)/5862 weeks
2841.02072 -2.55233 (284*2π)/5862 weeks
2853.22214 -2.41865 (285*2π)/5862 weeks
2864.90012 .1913 (286*2π)/5862 weeks
2872.65226 3.29005 (287*2π)/5862 weeks
288-.68917 2.00454 (288*2π)/5862 weeks
289-.82349 -.5148 (289*2π)/5862 weeks
290.18562 -2.05577 (290*2π)/5862 weeks
2911.69298 -2.33065 (291*2π)/5862 weeks
2923.46872 -2.31274 (292*2π)/5862 weeks
2934.90725   (293*2π)/5862 weeks
2943.46872 2.31274 (294*2π)/5862 weeks
2951.69298 2.33065 (295*2π)/5862 weeks
296.18562 2.05577 (296*2π)/5862 weeks
297-.82349 .5148 (297*2π)/5862 weeks
298-.68917 -2.00454 (298*2π)/5862 weeks
2992.65226 -3.29005 (299*2π)/5862 weeks
3004.90012 -.1913 (300*2π)/5862 weeks
3013.22214 2.41865 (301*2π)/5862 weeks
3021.02072 2.55233 (302*2π)/5862 weeks
303-.91966 .94839 (303*2π)/5862 weeks
304-.24821 -1.43598 (304*2π)/5862 weeks
3052.20582 -2.4333 (305*2π)/5862 weeks
3064.79781 -.03316 (306*2π)/5862 weeks
3072.89868 3.39138 (307*2π)/5862 weeks
308-.63766 3.05901 (308*2π)/5862 weeks
309-1.99352 -.26078 (309*2π)/5862 weeks
310-.4165 -2.50458 (310*2π)/5862 weeks
3112.46796 -3.41155 (311*2π)/5862 weeks
3125.61156 -.72818 (312*2π)/5862 weeks
3134.1395 3.47951 (313*2π)/5862 weeks
314.40095 4.02981 (314*2π)/5862 weeks
315-2.21371 1.80254 (315*2π)/5862 weeks
316-1.79681 -1.08039 (316*2π)/5862 weeks
317-.39219 -2.85594 (317*2π)/5862 weeks
3182.35562 -3.3769 (318*2π)/5862 weeks
3194.81555 -1.17174 (319*2π)/5862 weeks
3204.0285 2.12437 (320*2π)/5862 weeks
3211.07984 2.96255 (321*2π)/5862 weeks
322-.58398 1.70452 (322*2π)/5862 weeks
323-1.25292 -1.00073 (323*2π)/5862 weeks
3241.2686 -2.15948 (324*2π)/5862 weeks
3252.85503 -.55864 (325*2π)/5862 weeks
3262.33844 .66946 (326*2π)/5862 weeks
3271.67758 1.7215 (327*2π)/5862 weeks
328-.67869 1.4752 (328*2π)/5862 weeks
329-1.01928 -.87579 (329*2π)/5862 weeks
330.0089 -2.43744 (330*2π)/5862 weeks
3313.09975 -3.04308 (331*2π)/5862 weeks
3324.43828 .09438 (332*2π)/5862 weeks
3333.19654 2.28001 (333*2π)/5862 weeks
334.38764 3.24257 (334*2π)/5862 weeks
335-1.96635 .84185 (335*2π)/5862 weeks
336-.9354 -2.28485 (336*2π)/5862 weeks
3372.10091 -2.7001 (337*2π)/5862 weeks
3383.82518 -.27676 (338*2π)/5862 weeks
3392.56346 2.29479 (339*2π)/5862 weeks
340-.27315 2.20019 (340*2π)/5862 weeks
341-1.59375 .26197 (341*2π)/5862 weeks
342-1.17158 -2.1117 (342*2π)/5862 weeks
3431.91411 -3.54984 (343*2π)/5862 weeks
3444.51775 -.33528 (344*2π)/5862 weeks
3452.31966 2.54309 (345*2π)/5862 weeks
346-.78892 2.35311 (346*2π)/5862 weeks
347-2.35976 -.69226 (347*2π)/5862 weeks
348-.17735 -2.92151 (348*2π)/5862 weeks
3491.65701 -2.03275 (349*2π)/5862 weeks
3502.0459 -1.32506 (350*2π)/5862 weeks
3511.95414 -.50726 (351*2π)/5862 weeks
352.95712 -.32674 (352*2π)/5862 weeks
3531.19433 -1.80365 (353*2π)/5862 weeks
3543.31504 -1.2355 (354*2π)/5862 weeks
3553.22781 1.48399 (355*2π)/5862 weeks
356.4496 2.35589 (356*2π)/5862 weeks
357-1.89169 .30116 (357*2π)/5862 weeks
358-.90391 -3.25428 (358*2π)/5862 weeks
3592.80661 -3.04645 (359*2π)/5862 weeks
3603.66995 -.65744 (360*2π)/5862 weeks
3612.82665 1.19102 (361*2π)/5862 weeks
362.00379 1.87794 (362*2π)/5862 weeks
363-1.20826 -1.17709 (363*2π)/5862 weeks
3641.29122 -3.19654 (364*2π)/5862 weeks
3653.80501 -1.93124 (365*2π)/5862 weeks
3664.1072 1.24443 (366*2π)/5862 weeks
3671.17403 2.57801 (367*2π)/5862 weeks
368-.26633 .7308 (368*2π)/5862 weeks
369.03304 .29188 (369*2π)/5862 weeks
370-.7057 -1.05102 (370*2π)/5862 weeks
3711.31448 -1.49384 (371*2π)/5862 weeks
372.5764 -.3019 (372*2π)/5862 weeks
373.9054 -1.32308 (373*2π)/5862 weeks
374.95781 -.63534 (374*2π)/5862 weeks
375.35244 -1.14591 (375*2π)/5862 weeks
376.84139 -1.90678 (376*2π)/5862 weeks
3771.50883 -2.65453 (377*2π)/5862 weeks
3784.03252 -2.04375 (378*2π)/5862 weeks
3793.34949 .87107 (379*2π)/5862 weeks
3801.87197 .52794 (380*2π)/5862 weeks
3811.95553 .81519 (381*2π)/5862 weeks
382.94667 1.09273 (382*2π)/5862 weeks
383.02901 .31409 (383*2π)/5862 weeks
384-.00068 -.54263 (384*2π)/5862 weeks
385.82209 -1.04625 (385*2π)/5862 weeks
3861.28788 -.46165 (386*2π)/5862 weeks
387.57243 .04372 (387*2π)/5862 weeks
388-.27339 -.18123 (388*2π)/5862 weeks
389-.82495 -1.88472 (389*2π)/5862 weeks
3901.03339 -3.4532 (390*2π)/5862 weeks
3913.19379 -2.64279 (391*2π)/5861 weeks
3924.0046 -.0593 (392*2π)/5861 weeks
3932.0349 2.09951 (393*2π)/5861 weeks
394-.88967 1.28604 (394*2π)/5861 weeks
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