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# Fourier Analysis of PGRX (Prospect Global Resources)

PGRX (Prospect Global Resources) appears to have interesting cyclic behaviour every 27 weeks (13.5851*sine), 25 weeks (10.9995*sine), and 31 weeks (10.8549*cosine).

PGRX (Prospect Global Resources) has an average price of 67.61 (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 12/16/2010 to 4/16/2018 for PGRX (Prospect Global Resources), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
067.611   0
186.89913 87.98306 (1*2π)/375375 weeks
22.2403 95.3578 (2*2π)/375188 weeks
3-38.83411 48.95681 (3*2π)/375125 weeks
4-33.44692 9.98137 (4*2π)/37594 weeks
5-16.31188 -4.35253 (5*2π)/37575 weeks
6-2.77649 -5.68773 (6*2π)/37563 weeks
75.22603 1.05979 (7*2π)/37554 weeks
81.91 9.37739 (8*2π)/37547 weeks
9-6.93571 7.09081 (9*2π)/37542 weeks
10-6.97932 -3.05043 (10*2π)/37538 weeks
112.7192 -7.30536 (11*2π)/37534 weeks
1210.85494 -1.04213 (12*2π)/37531 weeks
1310.27382 8.42582 (13*2π)/37529 weeks
142.93826 13.58505 (14*2π)/37527 weeks
15-5.51514 10.99952 (15*2π)/37525 weeks
16-7.80263 2.82061 (16*2π)/37523 weeks
17-2.112 -2.24439 (17*2π)/37522 weeks
183.59461 1.03042 (18*2π)/37521 weeks
191.91934 6.74282 (19*2π)/37520 weeks
20-3.67823 6.66978 (20*2π)/37519 weeks
21-5.47965 2.25635 (21*2π)/37518 weeks
22-3.79597 -.40374 (22*2π)/37517 weeks
23-2.36532 -1.66381 (23*2π)/37516 weeks
24.14186 -2.88467 (24*2π)/37516 weeks
253.55051 -1.26474 (25*2π)/37515 weeks
263.82633 2.58719 (26*2π)/37514 weeks
271.10639 4.28439 (27*2π)/37514 weeks
28-.83921 3.26869 (28*2π)/37513 weeks
29-1.21819 2.07385 (29*2π)/37513 weeks
30-1.17686 .91533 (30*2π)/37513 weeks
31.25998 -.16514 (31*2π)/37512 weeks
322.2921 1.17092 (32*2π)/37512 weeks
331.54987 3.84995 (33*2π)/37511 weeks
34-1.16168 4.16918 (34*2π)/37511 weeks
35-2.54672 2.28072 (35*2π)/37511 weeks
36-2.05059 .44108 (36*2π)/37510 weeks
37-.53795 -.4686 (37*2π)/37510 weeks
381.44029 .25065 (38*2π)/37510 weeks
391.72179 2.92885 (39*2π)/37510 weeks
40-1.16492 4.31374 (40*2π)/3759 weeks
41-3.50715 1.89431 (41*2π)/3759 weeks
42-2.05933 -.78575 (42*2π)/3759 weeks
43.23079 -.19708 (43*2π)/3759 weeks
44-.09823 1.45444 (44*2π)/3759 weeks
45-1.42541 .95826 (45*2π)/3758 weeks
46-.86894 -.41727 (46*2π)/3758 weeks
47.51645 -.24911 (47*2π)/3758 weeks
481.01895 .70235 (48*2π)/3758 weeks
491.09669 1.68362 (49*2π)/3758 weeks
50.36878 3.09572 (50*2π)/3758 weeks
51-1.98332 3.62644 (51*2π)/3757 weeks
52-4.31819 1.56206 (52*2π)/3757 weeks
53-4.0164 -2.00396 (53*2π)/3757 weeks
54-.87565 -4.1662 (54*2π)/3757 weeks
553.03801 -3.20706 (55*2π)/3757 weeks
564.98906 .64748 (56*2π)/3757 weeks
573.03524 4.70417 (57*2π)/3757 weeks
58-1.22696 5.50968 (58*2π)/3756 weeks
59-4.12763 3.00264 (59*2π)/3756 weeks
60-4.33072 -.17021 (60*2π)/3756 weeks
61-2.84649 -2.46213 (61*2π)/3756 weeks
62-.26478 -3.5621 (62*2π)/3756 weeks
632.7262 -2.50834 (63*2π)/3756 weeks
643.86934 .63606 (64*2π)/3756 weeks
652.15428 3.21326 (65*2π)/3756 weeks
66-.3495 3.36315 (66*2π)/3756 weeks
67-1.60562 2.093 (67*2π)/3756 weeks
68-1.71622 .93647 (68*2π)/3756 weeks
69-1.39525 .16435 (69*2π)/3755 weeks
70-.86986 -.26123 (70*2π)/3755 weeks
71-.33267 -.3881 (71*2π)/3755 weeks
72.19325 -.33773 (72*2π)/3755 weeks
73.75238 -.03995 (73*2π)/3755 weeks
741.15554 .6911 (74*2π)/3755 weeks
75.93437 1.72232 (75*2π)/3755 weeks
76-.05308 2.41112 (76*2π)/3755 weeks
77-1.40426 2.29091 (77*2π)/3755 weeks
78-2.49832 1.08133 (78*2π)/3755 weeks
79-2.20642 -.86914 (79*2π)/3755 weeks
80-.13566 -1.73038 (80*2π)/3755 weeks
811.57041 -.11492 (81*2π)/3755 weeks
82.64048 1.95337 (82*2π)/3755 weeks
83-1.39377 1.7241 (83*2π)/3755 weeks
84-1.77508 .05568 (84*2π)/3754 weeks
85-.75035 -.64589 (85*2π)/3754 weeks
86-.18058 -.32703 (86*2π)/3754 weeks
87-.10341 -.24448 (87*2π)/3754 weeks
88.29132 -.24684 (88*2π)/3754 weeks
89.65886 .26782 (89*2π)/3754 weeks
90.4071 .91811 (90*2π)/3754 weeks
91-.20449 1.09902 (91*2π)/3754 weeks
92-.73732 .82609 (92*2π)/3754 weeks
93-.949 .15614 (93*2π)/3754 weeks
94-.42164 -.5104 (94*2π)/3754 weeks
95.50636 -.39778 (95*2π)/3754 weeks
96.971 .43516 (96*2π)/3754 weeks
97.62454 1.36504 (97*2π)/3754 weeks
98-.3477 1.72277 (98*2π)/3754 weeks
99-1.26536 1.19842 (99*2π)/3754 weeks
100-1.41355 .18846 (100*2π)/3754 weeks
101-.76744 -.41338 (101*2π)/3754 weeks
102-.19366 -.23338 (102*2π)/3754 weeks
103-.22918 -.01312 (103*2π)/3754 weeks
104-.21284 -.33267 (104*2π)/3754 weeks
105.4802 -.53068 (105*2π)/3754 weeks
1061.21495 .12027 (106*2π)/3754 weeks
1071.15904 1.18443 (107*2π)/3754 weeks
108.40574 1.85179 (108*2π)/3753 weeks
109-.48305 1.88557 (109*2π)/3753 weeks
110-1.11097 1.46287 (110*2π)/3753 weeks
111-1.34561 .92585 (111*2π)/3753 weeks
112-1.40452 .51456 (112*2π)/3753 weeks
113-1.46438 .01925 (113*2π)/3753 weeks
114-1.17153 -.70074 (114*2π)/3753 weeks
115-.19422 -1.15348 (115*2π)/3753 weeks
1161.05085 -.57824 (116*2π)/3753 weeks
1171.40017 .99904 (117*2π)/3753 weeks
118.2637 2.39673 (118*2π)/3753 weeks
119-1.75645 2.47201 (119*2π)/3753 weeks
120-3.38366 .78243 (120*2π)/3753 weeks
121-3.09821 -1.92658 (121*2π)/3753 weeks
122-.49618 -3.5341 (122*2π)/3753 weeks
1232.45242 -2.28144 (123*2π)/3753 weeks
1243.0463 .68848 (124*2π)/3753 weeks
1251.28953 2.58028 (125*2π)/3753 weeks
126-.75451 2.4207 (126*2π)/3753 weeks
127-1.65158 1.15448 (127*2π)/3753 weeks
128-1.32185 .08986 (128*2π)/3753 weeks
129-.61744 -.02625 (129*2π)/3753 weeks
130-.60924 .42788 (130*2π)/3753 weeks
131-1.26449 .22038 (131*2π)/3753 weeks
132-1.2079 -.89404 (132*2π)/3753 weeks
133.13898 -1.45539 (133*2π)/3753 weeks
1341.46377 -.46158 (134*2π)/3753 weeks
1351.41314 1.28594 (135*2π)/3753 weeks
136-.07325 2.41576 (136*2π)/3753 weeks
137-2.0808 1.90155 (137*2π)/3753 weeks
138-2.90178 -.22152 (138*2π)/3753 weeks
139-1.55746 -2.15187 (139*2π)/3753 weeks
140.70681 -2.14536 (140*2π)/3753 weeks
1411.9426 -.50377 (141*2π)/3753 weeks
1421.54806 1.24724 (142*2π)/3753 weeks
143.22661 2.03229 (143*2π)/3753 weeks
144-1.0478 1.73847 (144*2π)/3753 weeks
145-1.71286 .81232 (145*2π)/3753 weeks
146-1.58505 -.24162 (146*2π)/3753 weeks
147-.74099 -.79881 (147*2π)/3753 weeks
148.11718 -.44598 (148*2π)/3753 weeks
149.24262 .39536 (149*2π)/3753 weeks
150-.39265 .89577 (150*2π)/3753 weeks
151-1.12572 .62627 (151*2π)/3752 weeks
152-1.30707 -.09876 (152*2π)/3752 weeks
153-.85182 -.57777 (153*2π)/3752 weeks
154-.41024 -.41406 (154*2π)/3752 weeks
155-.56664 -.18531 (155*2π)/3752 weeks
156-.80586 -.62595 (156*2π)/3752 weeks
157-.19086 -1.30221 (157*2π)/3752 weeks
1581.09424 -1.03183 (158*2π)/3752 weeks
1591.69009 .4922 (159*2π)/3752 weeks
160.64107 2.04375 (160*2π)/3752 weeks
161-1.40107 2.07578 (161*2π)/3752 weeks
162-2.64669 .29906 (162*2π)/3752 weeks
163-1.77954 -1.76394 (163*2π)/3752 weeks
164.40043 -2.04439 (164*2π)/3752 weeks
1651.61846 -.42397 (165*2π)/3752 weeks
166.96584 1.22202 (166*2π)/3752 weeks
167-.52726 1.57998 (167*2π)/3752 weeks
168-1.58232 .72051 (168*2π)/3752 weeks
169-1.58864 -.49868 (169*2π)/3752 weeks
170-.74351 -1.2298 (170*2π)/3752 weeks
171.27245 -1.02712 (171*2π)/3752 weeks
172.5515 -.19662 (172*2π)/3752 weeks
173.07542 .15069 (173*2π)/3752 weeks
174-.05741 -.20426 (174*2π)/3752 weeks
175.55093 -.2383 (175*2π)/3752 weeks
176.89393 .73098 (176*2π)/3752 weeks
177-.11627 1.71861 (177*2π)/3752 weeks
178-1.70125 1.20827 (178*2π)/3752 weeks
179-2.07774 -.56518 (179*2π)/3752 weeks
180-.6385 -1.84144 (180*2π)/3752 weeks
1811.25435 -1.13069 (181*2π)/3752 weeks
1821.44435 .97013 (182*2π)/3752 weeks
183-.43189 2.05132 (183*2π)/3752 weeks
184-2.22518 .80295 (184*2π)/3752 weeks
185-1.90672 -1.31464 (185*2π)/3752 weeks
186-.01672 -2.0134 (186*2π)/3752 weeks
1871.47735 -.89676 (187*2π)/3752 weeks
1881.47735 .89676 (188*2π)/3752 weeks
189-.01672 2.0134 (189*2π)/3752 weeks
190-1.90672 1.31464 (190*2π)/3752 weeks
191-2.22518 -.80295 (191*2π)/3752 weeks
192-.43189 -2.05132 (192*2π)/3752 weeks
1931.44435 -.97013 (193*2π)/3752 weeks
1941.25435 1.13069 (194*2π)/3752 weeks
195-.6385 1.84144 (195*2π)/3752 weeks
196-2.07774 .56518 (196*2π)/3752 weeks
197-1.70125 -1.20827 (197*2π)/3752 weeks
198-.11627 -1.71861 (198*2π)/3752 weeks
199.89393 -.73098 (199*2π)/3752 weeks
200.55093 .2383 (200*2π)/3752 weeks
201-.05741 .20426 (201*2π)/3752 weeks
202.07542 -.15069 (202*2π)/3752 weeks
203.5515 .19662 (203*2π)/3752 weeks
204.27245 1.02712 (204*2π)/3752 weeks
205-.74351 1.2298 (205*2π)/3752 weeks
206-1.58864 .49868 (206*2π)/3752 weeks
207-1.58232 -.72051 (207*2π)/3752 weeks
208-.52726 -1.57998 (208*2π)/3752 weeks
209.96584 -1.22202 (209*2π)/3752 weeks
2101.61846 .42397 (210*2π)/3752 weeks
211.40043 2.04439 (211*2π)/3752 weeks
212-1.77954 1.76394 (212*2π)/3752 weeks
213-2.64669 -.29906 (213*2π)/3752 weeks
214-1.40107 -2.07578 (214*2π)/3752 weeks
215.64107 -2.04375 (215*2π)/3752 weeks
2161.69009 -.4922 (216*2π)/3752 weeks
2171.09424 1.03183 (217*2π)/3752 weeks
218-.19086 1.30221 (218*2π)/3752 weeks
219-.80586 .62595 (219*2π)/3752 weeks
220-.56664 .18531 (220*2π)/3752 weeks
221-.41024 .41406 (221*2π)/3752 weeks
222-.85182 .57777 (222*2π)/3752 weeks
223-1.30707 .09876 (223*2π)/3752 weeks
224-1.12572 -.62627 (224*2π)/3752 weeks
225-.39265 -.89577 (225*2π)/3752 weeks
226.24262 -.39536 (226*2π)/3752 weeks
227.11718 .44598 (227*2π)/3752 weeks
228-.74099 .79881 (228*2π)/3752 weeks
229-1.58505 .24162 (229*2π)/3752 weeks
230-1.71286 -.81232 (230*2π)/3752 weeks
231-1.0478 -1.73847 (231*2π)/3752 weeks
232.22661 -2.03229 (232*2π)/3752 weeks
2331.54806 -1.24724 (233*2π)/3752 weeks
2341.9426 .50377 (234*2π)/3752 weeks
235.70681 2.14536 (235*2π)/3752 weeks
236-1.55746 2.15187 (236*2π)/3752 weeks
237-2.90178 .22152 (237*2π)/3752 weeks
238-2.0808 -1.90155 (238*2π)/3752 weeks
239-.07325 -2.41576 (239*2π)/3752 weeks
2401.41314 -1.28594 (240*2π)/3752 weeks
2411.46377 .46158 (241*2π)/3752 weeks
242.13898 1.45539 (242*2π)/3752 weeks
243-1.2079 .89404 (243*2π)/3752 weeks
244-1.26449 -.22038 (244*2π)/3752 weeks
245-.60924 -.42788 (245*2π)/3752 weeks
246-.61744 .02625 (246*2π)/3752 weeks
247-1.32185 -.08986 (247*2π)/3752 weeks
248-1.65158 -1.15448 (248*2π)/3752 weeks
249-.75451 -2.4207 (249*2π)/3752 weeks
2501.28953 -2.58028 (250*2π)/3752 weeks
2513.0463 -.68848 (251*2π)/3751 weeks
2522.45242 2.28144 (252*2π)/3751 weeks
253-.49618 3.5341 (253*2π)/3751 weeks
254-3.09821 1.92658 (254*2π)/3751 weeks
255-3.38366 -.78243 (255*2π)/3751 weeks
256-1.75645 -2.47201 (256*2π)/3751 weeks
257.2637 -2.39673 (257*2π)/3751 weeks
2581.40017 -.99904 (258*2π)/3751 weeks
2591.05085 .57824 (259*2π)/3751 weeks
260-.19422 1.15348 (260*2π)/3751 weeks
261-1.17153 .70074 (261*2π)/3751 weeks
262-1.46438 -.01925 (262*2π)/3751 weeks
263-1.40452 -.51456 (263*2π)/3751 weeks
264-1.34561 -.92585 (264*2π)/3751 weeks
265-1.11097 -1.46287 (265*2π)/3751 weeks
266-.48305 -1.88557 (266*2π)/3751 weeks
267.40574 -1.85179 (267*2π)/3751 weeks
2681.15904 -1.18443 (268*2π)/3751 weeks
2691.21495 -.12027 (269*2π)/3751 weeks
270.4802 .53068 (270*2π)/3751 weeks
271-.21284 .33267 (271*2π)/3751 weeks
272-.22918 .01312 (272*2π)/3751 weeks
273-.19366 .23338 (273*2π)/3751 weeks
274-.76744 .41338 (274*2π)/3751 weeks
275-1.41355 -.18846 (275*2π)/3751 weeks
276-1.26536 -1.19842 (276*2π)/3751 weeks
277-.3477 -1.72277 (277*2π)/3751 weeks
278.62454 -1.36504 (278*2π)/3751 weeks
279.971 -.43516 (279*2π)/3751 weeks
280.50636 .39778 (280*2π)/3751 weeks
281-.42164 .5104 (281*2π)/3751 weeks
282-.949 -.15614 (282*2π)/3751 weeks
283-.73732 -.82609 (283*2π)/3751 weeks
284-.20449 -1.09902 (284*2π)/3751 weeks
285.4071 -.91811 (285*2π)/3751 weeks
286.65886 -.26782 (286*2π)/3751 weeks
287.29132 .24684 (287*2π)/3751 weeks
288-.10341 .24448 (288*2π)/3751 weeks
289-.18058 .32703 (289*2π)/3751 weeks
290-.75035 .64589 (290*2π)/3751 weeks
291-1.77508 -.05568 (291*2π)/3751 weeks
292-1.39377 -1.7241 (292*2π)/3751 weeks
293.64048 -1.95337 (293*2π)/3751 weeks
2941.57041 .11492 (294*2π)/3751 weeks
295-.13566 1.73038 (295*2π)/3751 weeks
296-2.20642 .86914 (296*2π)/3751 weeks
297-2.49832 -1.08133 (297*2π)/3751 weeks
298-1.40426 -2.29091 (298*2π)/3751 weeks
299-.05308 -2.41112 (299*2π)/3751 weeks
300.93437 -1.72232 (300*2π)/3751 weeks
3011.15554 -.6911 (301*2π)/3751 weeks
302.75238 .03995 (302*2π)/3751 weeks
303.19325 .33773 (303*2π)/3751 weeks
304-.33267 .3881 (304*2π)/3751 weeks
305-.86986 .26123 (305*2π)/3751 weeks
306-1.39525 -.16435 (306*2π)/3751 weeks
307-1.71622 -.93647 (307*2π)/3751 weeks
308-1.60562 -2.093 (308*2π)/3751 weeks
309-.3495 -3.36315 (309*2π)/3751 weeks
3102.15428 -3.21326 (310*2π)/3751 weeks
3113.86934 -.63606 (311*2π)/3751 weeks
3122.7262 2.50834 (312*2π)/3751 weeks
313-.26478 3.5621 (313*2π)/3751 weeks
314-2.84649 2.46213 (314*2π)/3751 weeks
315-4.33072 .17021 (315*2π)/3751 weeks
316-4.12763 -3.00264 (316*2π)/3751 weeks
317-1.22696 -5.50968 (317*2π)/3751 weeks
3183.03524 -4.70417 (318*2π)/3751 weeks
3194.98906 -.64748 (319*2π)/3751 weeks
3203.03801 3.20706 (320*2π)/3751 weeks
321-.87565 4.1662 (321*2π)/3751 weeks
322-4.0164 2.00396 (322*2π)/3751 weeks
323-4.31819 -1.56206 (323*2π)/3751 weeks
324-1.98332 -3.62644 (324*2π)/3751 weeks
325.36878 -3.09572 (325*2π)/3751 weeks
3261.09669 -1.68362 (326*2π)/3751 weeks
3271.01895 -.70235 (327*2π)/3751 weeks
328.51645 .24911 (328*2π)/3751 weeks
329-.86894 .41727 (329*2π)/3751 weeks
330-1.42541 -.95826 (330*2π)/3751 weeks
331-.09823 -1.45444 (331*2π)/3751 weeks
332.23079 .19708 (332*2π)/3751 weeks
333-2.05933 .78575 (333*2π)/3751 weeks
334-3.50715 -1.89431 (334*2π)/3751 weeks
335-1.16492 -4.31374 (335*2π)/3751 weeks
3361.72179 -2.92885 (336*2π)/3751 weeks
3371.44029 -.25065 (337*2π)/3751 weeks
338-.53795 .4686 (338*2π)/3751 weeks
339-2.05059 -.44108 (339*2π)/3751 weeks
340-2.54672 -2.28072 (340*2π)/3751 weeks
341-1.16168 -4.16918 (341*2π)/3751 weeks
3421.54987 -3.84995 (342*2π)/3751 weeks
3432.2921 -1.17092 (343*2π)/3751 weeks
344.25998 .16514 (344*2π)/3751 weeks
345-1.17686 -.91533 (345*2π)/3751 weeks
346-1.21819 -2.07385 (346*2π)/3751 weeks
347-.83921 -3.26869 (347*2π)/3751 weeks
3481.10639 -4.28439 (348*2π)/3751 weeks
3493.82633 -2.58719 (349*2π)/3751 weeks
3503.55051 1.26474 (350*2π)/3751 weeks
351.14186 2.88467 (351*2π)/3751 weeks
352-2.36532 1.66381 (352*2π)/3751 weeks
353-3.79597 .40374 (353*2π)/3751 weeks
354-5.47965 -2.25635 (354*2π)/3751 weeks
355-3.67823 -6.66978 (355*2π)/3751 weeks
3561.91934 -6.74282 (356*2π)/3751 weeks
3573.59461 -1.03042 (357*2π)/3751 weeks
358-2.112 2.24439 (358*2π)/3751 weeks
359-7.80263 -2.82061 (359*2π)/3751 weeks
360-5.51514 -10.99952 (360*2π)/3751 weeks
3612.93826 -13.58505 (361*2π)/3751 weeks
36210.27382 -8.42582 (362*2π)/3751 weeks
36310.85494 1.04213 (363*2π)/3751 weeks
3642.7192 7.30536 (364*2π)/3751 weeks
365-6.97932 3.05043 (365*2π)/3751 weeks
366-6.93571 -7.09081 (366*2π)/3751 weeks
3671.91 -9.37739 (367*2π)/3751 weeks
3685.22603 -1.05979 (368*2π)/3751 weeks
369-2.77649 5.68773 (369*2π)/3751 weeks
370-16.31188 4.35253 (370*2π)/3751 weeks
371-33.44692 -9.98137 (371*2π)/3751 weeks
372-38.83411 -48.95681 (372*2π)/3751 weeks
3732.2403 -95.3578 (373*2π)/3751 weeks