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Fourier Analysis of DXRSX (Direxion Monthly Small Cap Bear)


DXRSX (Direxion Monthly Small Cap Bear) appears to have interesting cyclic behaviour every 75 weeks (226.0215*sine), 69 weeks (209.7709*sine), and 81 weeks (153.9318*sine).

DXRSX (Direxion Monthly Small Cap Bear) has an average price of 2,117.66 (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.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 12/1/1999 to 1/17/2017 for DXRSX (Direxion Monthly Small Cap Bear), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
02,117.658   0 
11,132.753 2,447.518 (1*2π)/894894 weeks
2142.8983 1,284.3 (2*2π)/894447 weeks
3-254.2959 785.5739 (3*2π)/894298 weeks
4-7.93084 434.3709 (4*2π)/894224 weeks
5-77.83486 242.1607 (5*2π)/894179 weeks
6212.3864 335.6571 (6*2π)/894149 weeks
7-30.117 356.3006 (7*2π)/894128 weeks
8-18.97511 302.6148 (8*2π)/894112 weeks
9-80.8871 122.4683 (9*2π)/89499 weeks
1081.10501 141.3615 (10*2π)/89489 weeks
1181.59398 153.9318 (11*2π)/89481 weeks
1261.63762 226.0215 (12*2π)/89475 weeks
1335.04676 209.7709 (13*2π)/89469 weeks
14-60.08873 180.0508 (14*2π)/89464 weeks
1517.2503 104.9956 (15*2π)/89460 weeks
16-20.01235 132.4916 (16*2π)/89456 weeks
1732.32989 66.47152 (17*2π)/89453 weeks
1848.72855 104.4526 (18*2π)/89450 weeks
1979.60973 154.1358 (19*2π)/89447 weeks
20-13.46652 156.088 (20*2π)/89445 weeks
21.52345 150.4918 (21*2π)/89443 weeks
22-66.72704 101.6149 (22*2π)/89441 weeks
23-5.14373 79.63 (23*2π)/89439 weeks
24-53.20011 57.29552 (24*2π)/89437 weeks
2533.83138 18.01355 (25*2π)/89436 weeks
2642.22509 78.50037 (26*2π)/89434 weeks
2715.94254 99.58788 (27*2π)/89433 weeks
28-16.76529 52.96362 (28*2π)/89432 weeks
2942.90712 76.85845 (29*2π)/89431 weeks
30-19.74707 60.4652 (30*2π)/89430 weeks
3143.6219 58.64108 (31*2π)/89429 weeks
323.73871 87.59516 (32*2π)/89428 weeks
33-7.39907 75.11671 (33*2π)/89427 weeks
34-26.28039 34.95799 (34*2π)/89426 weeks
3519.53779 22.57237 (35*2π)/89426 weeks
3634.10347 28.67858 (36*2π)/89425 weeks
3743.66953 57.9995 (37*2π)/89424 weeks
3846.25689 53.87649 (38*2π)/89424 weeks
3922.00514 98.77229 (39*2π)/89423 weeks
4010.64637 53.18702 (40*2π)/89422 weeks
419.66373 81.58965 (41*2π)/89422 weeks
4216.62651 57.27318 (42*2π)/89421 weeks
43-22.72615 80.60686 (43*2π)/89421 weeks
4412.09929 34.00086 (44*2π)/89420 weeks
45-24.0073 63.45508 (45*2π)/89420 weeks
4621.53127 10.67173 (46*2π)/89419 weeks
4712.69093 54.60775 (47*2π)/89419 weeks
4838.78528 60.99803 (48*2π)/89419 weeks
49-30.22006 66.433 (49*2π)/89418 weeks
5014.42188 43.91438 (50*2π)/89418 weeks
51-26.4296 30.57964 (51*2π)/89418 weeks
5232.44975 37.80614 (52*2π)/89417 weeks
53-6.167 26.95934 (53*2π)/89417 weeks
5441.87773 63.29642 (54*2π)/89417 weeks
55-14.10132 44.03575 (55*2π)/89416 weeks
569.61267 67.12222 (56*2π)/89416 weeks
57-20.04133 28.1322 (57*2π)/89416 weeks
583.95829 54.29016 (58*2π)/89415 weeks
59-17.53399 22.62803 (59*2π)/89415 weeks
60-.11227 41.53409 (60*2π)/89415 weeks
61-6.58332 22.32896 (61*2π)/89415 weeks
62-9.1248 32.31325 (62*2π)/89414 weeks
633.06095 10.83375 (63*2π)/89414 weeks
643.08362 28.16213 (64*2π)/89414 weeks
6512.99058 16.67094 (65*2π)/89414 weeks
668.25406 32.55063 (66*2π)/89414 weeks
6715.28213 34.9346 (67*2π)/89413 weeks
68-12.82569 35.96077 (68*2π)/89413 weeks
691.11245 18.81807 (69*2π)/89413 weeks
702.24688 20.20652 (70*2π)/89413 weeks
714.9169 25.00033 (71*2π)/89413 weeks
72-3.67405 17.1283 (72*2π)/89412 weeks
7310.89278 11.87313 (73*2π)/89412 weeks
7411.8413 25.37045 (74*2π)/89412 weeks
75-2.4128 14.58935 (75*2π)/89412 weeks
7616.56961 8.63998 (76*2π)/89412 weeks
7719.81519 13.03426 (77*2π)/89412 weeks
7826.9603 26.1028 (78*2π)/89411 weeks
7915.56752 26.8177 (79*2π)/89411 weeks
8023.07512 36.61776 (80*2π)/89411 weeks
813.77338 38.55246 (81*2π)/89411 weeks
82-1.03969 32.48197 (82*2π)/89411 weeks
83-8.02392 17.67668 (83*2π)/89411 weeks
849.07717 3.87152 (84*2π)/89411 weeks
8528.35533 21.76499 (85*2π)/89411 weeks
869.01906 32.8558 (86*2π)/89410 weeks
8713.14643 27.8468 (87*2π)/89410 weeks
88-2.29692 32.21182 (88*2π)/89410 weeks
892.94111 17.77546 (89*2π)/89410 weeks
901.40329 15.83815 (90*2π)/89410 weeks
9114.16964 18.75001 (91*2π)/89410 weeks
924.70215 15.39357 (92*2π)/89410 weeks
9315.82572 24.02077 (93*2π)/89410 weeks
941.1093 19.42377 (94*2π)/89410 weeks
957.30072 14.14449 (95*2π)/8949 weeks
9616.80701 9.0496 (96*2π)/8949 weeks
9720.87953 25.1871 (97*2π)/8949 weeks
9812.9147 26.10747 (98*2π)/8949 weeks
997.83202 28.11649 (99*2π)/8949 weeks
1001.74121 27.43517 (100*2π)/8949 weeks
101-4.14727 5.91585 (101*2π)/8949 weeks
10220.24109 10.80727 (102*2π)/8949 weeks
10318.51214 13.06707 (103*2π)/8949 weeks
10425.41936 30.46468 (104*2π)/8949 weeks
10511.29065 26.18075 (105*2π)/8949 weeks
10611.42978 38.22137 (106*2π)/8948 weeks
107-3.76344 20.30609 (107*2π)/8948 weeks
10811.98807 24.51755 (108*2π)/8948 weeks
109-.27725 27.15221 (109*2π)/8948 weeks
1102.59025 17.47491 (110*2π)/8948 weeks
1115.75276 20.53242 (111*2π)/8948 weeks
1122.90229 21.01512 (112*2π)/8948 weeks
113-.45731 17.85129 (113*2π)/8948 weeks
1149.82307 11.07613 (114*2π)/8948 weeks
1151.02093 24.60226 (115*2π)/8948 weeks
11611.55289 6.13724 (116*2π)/8948 weeks
1176.17909 29.66482 (117*2π)/8948 weeks
1185.4747 14.12913 (118*2π)/8948 weeks
119-3.65942 23.29381 (119*2π)/8948 weeks
1208.4415 5.47858 (120*2π)/8947 weeks
1211.65643 20.73693 (121*2π)/8947 weeks
1227.1673 9.91739 (122*2π)/8947 weeks
1234.2566 11.55052 (123*2π)/8947 weeks
12415.1246 13.85424 (124*2π)/8947 weeks
1253.61776 18.39814 (125*2π)/8947 weeks
12613.17439 17.26711 (126*2π)/8947 weeks
127-.66319 17.51897 (127*2π)/8947 weeks
1286.87582 20.27317 (128*2π)/8947 weeks
129-4.95843 6.46268 (129*2π)/8947 weeks
13011.08323 13.91672 (130*2π)/8947 weeks
1312.07492 5.73129 (131*2π)/8947 weeks
13212.51604 18.15621 (132*2π)/8947 weeks
1331.21111 6.3055 (133*2π)/8947 weeks
1348.5948 14.13575 (134*2π)/8947 weeks
1358.88462 2.00668 (135*2π)/8947 weeks
13613.8094 17.21324 (136*2π)/8947 weeks
13711.87092 8.30869 (137*2π)/8947 weeks
1385.77077 22.09338 (138*2π)/8946 weeks
13911.07181 3.20133 (139*2π)/8946 weeks
1406.49031 19.90847 (140*2π)/8946 weeks
14113.18804 3.81389 (141*2π)/8946 weeks
1427.26341 18.33681 (142*2π)/8946 weeks
14316.82148 3.04729 (143*2π)/8946 weeks
14416.60612 21.12394 (144*2π)/8946 weeks
14514.88911 19.20578 (145*2π)/8946 weeks
1464.62276 24.33292 (146*2π)/8946 weeks
1475.02971 15.05561 (147*2π)/8946 weeks
1484.62303 16.78161 (148*2π)/8946 weeks
1493.84988 13.97004 (149*2π)/8946 weeks
1504.85525 10.25138 (150*2π)/8946 weeks
1518.11883 11.44063 (151*2π)/8946 weeks
1529.6687 10.9178 (152*2π)/8946 weeks
15310.28506 12.9449 (153*2π)/8946 weeks
15411.87953 14.9483 (154*2π)/8946 weeks
15510.58457 18.87379 (155*2π)/8946 weeks
1564.62101 17.49969 (156*2π)/8946 weeks
1578.00395 18.1316 (157*2π)/8946 weeks
158.73501 14.99955 (158*2π)/8946 weeks
15910.24004 18.62229 (159*2π)/8946 weeks
160-6.71801 17.30919 (160*2π)/8946 weeks
1613.9813 11.36299 (161*2π)/8946 weeks
162-4.81691 6.86943 (162*2π)/8946 weeks
16313.62029 6.29026 (163*2π)/8945 weeks
1648.04584 14.23213 (164*2π)/8945 weeks
1657.33107 23.3802 (165*2π)/8945 weeks
166-6.85374 15.5983 (166*2π)/8945 weeks
167-9.68195 14.29537 (167*2π)/8945 weeks
168-4.48881 -8.09507 (168*2π)/8945 weeks
1694.12952 6.68304 (169*2π)/8945 weeks
1707.22056 -6.77913 (170*2π)/8945 weeks
1719.77812 12.02195 (171*2π)/8945 weeks
1729.72484 -.605 (172*2π)/8945 weeks
1735.91687 14.94639 (173*2π)/8945 weeks
1746.37818 .50819 (174*2π)/8945 weeks
1753.69157 8.10265 (175*2π)/8945 weeks
17613.94871 -.67574 (176*2π)/8945 weeks
1773.49092 9.51183 (177*2π)/8945 weeks
17815.69603 -.91469 (178*2π)/8945 weeks
1798.84172 7.45546 (179*2π)/8945 weeks
18016.85366 6.79582 (180*2π)/8945 weeks
1818.40891 3.60162 (181*2π)/8945 weeks
18222.50969 12.43455 (182*2π)/8945 weeks
1835.81038 8.02857 (183*2π)/8945 weeks
18422.4758 14.72234 (184*2π)/8945 weeks
1851.07535 13.8953 (185*2π)/8945 weeks
18614.62861 10.47584 (186*2π)/8945 weeks
1875.5933 9.25442 (187*2π)/8945 weeks
18812.0704 10.76902 (188*2π)/8945 weeks
18913.60389 5.81096 (189*2π)/8945 weeks
19014.37874 21.03262 (190*2π)/8945 weeks
1916.36316 10.71645 (191*2π)/8945 weeks
1929.93889 17.56353 (192*2π)/8945 weeks
1935.64845 9.95299 (193*2π)/8945 weeks
19410.80794 14.56382 (194*2π)/8945 weeks
1959.53809 17.87276 (195*2π)/8945 weeks
196-3.13555 18.7049 (196*2π)/8945 weeks
1973.6739 7.42461 (197*2π)/8945 weeks
198-2.033 10.57731 (198*2π)/8945 weeks
1999.16377 3.09462 (199*2π)/8944 weeks
2004.22457 11.29933 (200*2π)/8944 weeks
2019.70929 8.45566 (201*2π)/8944 weeks
2023.36511 12.2795 (202*2π)/8944 weeks
2034.69098 10.4157 (203*2π)/8944 weeks
2041.95576 5.89893 (204*2π)/8944 weeks
20510.31132 11.01692 (205*2π)/8944 weeks
206-2.13419 13.30706 (206*2π)/8944 weeks
207.07461 3.70554 (207*2π)/8944 weeks
2083.17612 4.60089 (208*2π)/8944 weeks
2091.56064 3.08116 (209*2π)/8944 weeks
2106.71529 -2.53426 (210*2π)/8944 weeks
21112.14608 3.56604 (211*2π)/8944 weeks
21210.78734 4.79184 (212*2π)/8944 weeks
21312.00297 9.31177 (213*2π)/8944 weeks
2145.61506 11.41255 (214*2π)/8944 weeks
2152.95194 2.18216 (215*2π)/8944 weeks
21614.04695 6.34165 (216*2π)/8944 weeks
2173.95885 7.12682 (217*2π)/8944 weeks
21812.82242 6.94106 (218*2π)/8944 weeks
2192.04299 8.39688 (219*2π)/8944 weeks
2209.8148 1.90458 (220*2π)/8944 weeks
2219.14856 4.93691 (221*2π)/8944 weeks
22213.62937 8.60309 (222*2π)/8944 weeks
2236.69644 8.24233 (223*2π)/8944 weeks
22411.48717 10.24054 (224*2π)/8944 weeks
2253.3204 10.78844 (225*2π)/8944 weeks
2265.55321 5.99772 (226*2π)/8944 weeks
2273.22553 4.26437 (227*2π)/8944 weeks
22812.02153 1.50594 (228*2π)/8944 weeks
2299.97456 9.56473 (229*2π)/8944 weeks
2307.4287 5.33117 (230*2π)/8944 weeks
23110.39371 7.08677 (231*2π)/8944 weeks
2327.92701 9.64476 (232*2π)/8944 weeks
2336.50191 3.5824 (233*2π)/8944 weeks
23411.2403 9.81034 (234*2π)/8944 weeks
2355.53153 6.14563 (235*2π)/8944 weeks
2367.23692 7.75166 (236*2π)/8944 weeks
2377.4954 3.86501 (237*2π)/8944 weeks
2387.01598 4.71893 (238*2π)/8944 weeks
23916.0209 2.48609 (239*2π)/8944 weeks
2409.88651 13.42476 (240*2π)/8944 weeks
24111.05488 8.48282 (241*2π)/8944 weeks
2425.23559 11.36031 (242*2π)/8944 weeks
24310.20197 7.51693 (243*2π)/8944 weeks
2445.71058 11.99468 (244*2π)/8944 weeks
2454.84594 10.82148 (245*2π)/8944 weeks
2461.66576 3.21718 (246*2π)/8944 weeks
2479.78232 8.43042 (247*2π)/8944 weeks
2483.49601 5.05706 (248*2π)/8944 weeks
2499.14524 7.22491 (249*2π)/8944 weeks
2505.11566 7.07314 (250*2π)/8944 weeks
2515.30072 6.57856 (251*2π)/8944 weeks
2528.26361 3.33836 (252*2π)/8944 weeks
2539.1566 11.07784 (253*2π)/8944 weeks
2542.07703 8.98424 (254*2π)/8944 weeks
2551.55588 4.74717 (255*2π)/8944 weeks
2565.23837 .04562 (256*2π)/8943 weeks
2579.82182 3.85892 (257*2π)/8943 weeks
2589.56038 6.85414 (258*2π)/8943 weeks
2593.55419 6.44374 (259*2π)/8943 weeks
2609.06506 3.46359 (260*2π)/8943 weeks
2615.71545 7.02066 (261*2π)/8943 weeks
2626.93738 2.97322 (262*2π)/8943 weeks
2637.92947 5.31716 (263*2π)/8943 weeks
2648.78543 4.44764 (264*2π)/8943 weeks
2657.97923 7.38332 (265*2π)/8943 weeks
2667.33269 6.3558 (266*2π)/8943 weeks
2674.4109 6.20573 (267*2π)/8943 weeks
2688.78625 3.85454 (268*2π)/8943 weeks
2696.67532 6.30967 (269*2π)/8943 weeks
2709.62168 8.41621 (270*2π)/8943 weeks
271-.55599 7.88838 (271*2π)/8943 weeks
2726.93671 3.23687 (272*2π)/8943 weeks
273-.39892 3.96052 (273*2π)/8943 weeks
2748.35104 -1.48662 (274*2π)/8943 weeks
2756.37898 2.33914 (275*2π)/8943 weeks
2769.34543 3.48991 (276*2π)/8943 weeks
2774.6918 -.13701 (277*2π)/8943 weeks
27812.78023 1.03185 (278*2π)/8943 weeks
27910.76671 1.65575 (279*2π)/8943 weeks
28015.41728 7.75572 (280*2π)/8943 weeks
2818.18263 8.22274 (281*2π)/8943 weeks
2827.0912 10.02255 (282*2π)/8943 weeks
2834.52152 2.3932 (283*2π)/8943 weeks
2848.31239 6.11223 (284*2π)/8943 weeks
2858.59458 2.14873 (285*2π)/8943 weeks
2866.90713 8.89308 (286*2π)/8943 weeks
2877.84246 -.73802 (287*2π)/8943 weeks
2889.69262 8.77451 (288*2π)/8943 weeks
2898.52798 .90793 (289*2π)/8943 weeks
29011.36847 8.6283 (290*2π)/8943 weeks
29111.40262 7.6288 (291*2π)/8943 weeks
2922.30694 13.02563 (292*2π)/8943 weeks
2936.75622 2.40402 (293*2π)/8943 weeks
2943.10263 9.92372 (294*2π)/8943 weeks
2955.44384 1.57811 (295*2π)/8943 weeks
2965.21963 3.70966 (296*2π)/8943 weeks
29712.81027 5.64913 (297*2π)/8943 weeks
2982.14299 11.25801 (298*2π)/8943 weeks
2993.72498 4.80142 (299*2π)/8943 weeks
3001.57798 3.42994 (300*2π)/8943 weeks
3015.61798 5.00808 (301*2π)/8943 weeks
302.46482 1.17499 (302*2π)/8943 weeks
3037.49712 1.44266 (303*2π)/8943 weeks
3042.89079 3.22075 (304*2π)/8943 weeks
3053.74373 .17072 (305*2π)/8943 weeks
3065.90332 -1.79679 (306*2π)/8943 weeks
3076.23325 -1.44972 (307*2π)/8943 weeks
30813.59218 -2.82461 (308*2π)/8943 weeks
30910.79901 6.77275 (309*2π)/8943 weeks
3107.56546 3.92259 (310*2π)/8943 weeks
3115.0856 3.16659 (311*2π)/8943 weeks
3129.76144 .93793 (312*2π)/8943 weeks
3134.7118 3.17078 (313*2π)/8943 weeks
31411.94501 -1.61 (314*2π)/8943 weeks
3158.12096 7.24123 (315*2π)/8943 weeks
3168.93515 -.45288 (316*2π)/8943 weeks
3176.66595 6.56346 (317*2π)/8943 weeks
3189.4484 -1.74037 (318*2π)/8943 weeks
3198.81493 4.95638 (319*2π)/8943 weeks
32010.56699 1.49725 (320*2π)/8943 weeks
3216.40771 5.87291 (321*2π)/8943 weeks
32210.37785 -1.17221 (322*2π)/8943 weeks
3239.98395 5.95012 (323*2π)/8943 weeks
3249.82603 1.37857 (324*2π)/8943 weeks
32511.90988 6.53852 (325*2π)/8943 weeks
3268.02064 5.2673 (326*2π)/8943 weeks
32710.17083 6.45393 (327*2π)/8943 weeks
3285.64536 9.36885 (328*2π)/8943 weeks
3293.37731 .60407 (329*2π)/8943 weeks
3308.72301 4.48243 (330*2π)/8943 weeks
3317.16339 -.01734 (331*2π)/8943 weeks
33212.56486 6.45319 (332*2π)/8943 weeks
3336.786 3.70637 (333*2π)/8943 weeks
33411.80309 9.74608 (334*2π)/8943 weeks
3352.94022 7.11591 (335*2π)/8943 weeks
3364.88269 7.71725 (336*2π)/8943 weeks
3372.74493 2.91732 (337*2π)/8943 weeks
3382.8398 5.96482 (338*2π)/8943 weeks
3392.48286 -1.08846 (339*2π)/8943 weeks
3404.70486 1.21848 (340*2π)/8943 weeks
3416.78218 -.5392 (341*2π)/8943 weeks
3425.88677 -.88491 (342*2π)/8943 weeks
34311.34133 1.5421 (343*2π)/8943 weeks
3446.1618 1.78084 (344*2π)/8943 weeks
3459.96488 2.53431 (345*2π)/8943 weeks
3468.0937 -1.08492 (346*2π)/8943 weeks
34715.38189 7.62562 (347*2π)/8943 weeks
3485.53467 6.44364 (348*2π)/8943 weeks
3497.08832 10.76424 (349*2π)/8943 weeks
350-.39526 3.49057 (350*2π)/8943 weeks
3512.24758 4.82284 (351*2π)/8943 weeks
3522.30809 -2.32128 (352*2π)/8943 weeks
3533.17149 2.50781 (353*2π)/8943 weeks
3543.62621 -3.8619 (354*2π)/8943 weeks
3554.92107 -3.53984 (355*2π)/8943 weeks
35611.70098 -3.35967 (356*2π)/8943 weeks
3578.43833 .20581 (357*2π)/8943 weeks
35810.51451 .75217 (358*2π)/8942 weeks
3598.66226 .38571 (359*2π)/8942 weeks
3608.69528 2.9618 (360*2π)/8942 weeks
3617.23936 -1.47845 (361*2π)/8942 weeks
3629.62224 1.18509 (362*2π)/8942 weeks
36310.86724 -2.71429 (363*2π)/8942 weeks
36411.686 4.06194 (364*2π)/8942 weeks
36513.81443 .26805 (365*2π)/8942 weeks
3668.96998 9.50111 (366*2π)/8942 weeks
3679.40589 1.419 (367*2π)/8942 weeks
3687.46154 8.28907 (368*2π)/8942 weeks
3696.43972 1.50283 (369*2π)/8942 weeks
3708.26688 3.66548 (370*2π)/8942 weeks
3717.58198 7.40253 (371*2π)/8942 weeks
372.15592 .72123 (372*2π)/8942 weeks
3737.72091 -.15684 (373*2π)/8942 weeks
3745.30798 -4.42693 (374*2π)/8942 weeks
37516.3042 -.17772 (375*2π)/8942 weeks
37611.07708 4.78956 (376*2π)/8942 weeks
3778.74932 7.08589 (377*2π)/8942 weeks
3788.77423 1.89561 (378*2π)/8942 weeks
3796.56566 9.23449 (379*2π)/8942 weeks
3804.70784 -.15379 (380*2π)/8942 weeks
3815.93747 3.69823 (381*2π)/8942 weeks
38210.97558 -1.88393 (382*2π)/8942 weeks
3837.28211 7.6189 (383*2π)/8942 weeks
38410.97561 .91937 (384*2π)/8942 weeks
3855.35975 9.5738 (385*2π)/8942 weeks
3867.08011 3.15463 (386*2π)/8942 weeks
3871.12984 5.89249 (387*2π)/8942 weeks
3888.83312 -.37276 (388*2π)/8942 weeks
3891.3044 6.40416 (389*2π)/8942 weeks
3906.87514 -.37237 (390*2π)/8942 weeks
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7791.02093 -24.60226 (779*2π)/8941 weeks
7809.82307 -11.07613 (780*2π)/8941 weeks
781-.45731 -17.85129 (781*2π)/8941 weeks
7822.90229 -21.01512 (782*2π)/8941 weeks
7835.75276