Question: How many golden cross occurred between the 10-day and 30-day Hull Moving Average lines for Invesco from January 23, 2020 to October 02, 2020? Using unadjusted prices, write down the indicator formula, collect the raw data, calculate the answer, and keep four decimal places. Please list the raw data and key calculation process.
Formula: HMA = WMA_{\sqrt{n}}(2 * WMA_{n/2}(P) - WMA_n(P))
Data:
date,close
2019-11-15,17.450000762939453
2019-11-18,17.3700008392334
2019-11-19,17.520000457763672
2019-11-20,17.190000534057617
2019-11-21,17.06999969482422
2019-11-22,17.329999923706055
2019-11-25,17.75
2019-11-26,17.549999237060547
2019-11-27,17.700000762939453
2019-11-29,17.559999465942383
2019-12-02,17.290000915527344
2019-12-03,16.690000534057617
2019-12-04,16.760000228881836
2019-12-05,16.610000610351562
2019-12-06,16.790000915527344
2019-12-09,16.65999984741211
2019-12-10,16.850000381469727
2019-12-11,17.09000015258789
2019-12-12,17.709999084472656
2019-12-13,17.6200008392334
2019-12-16,17.899999618530273
2019-12-17,18.21999931335449
2019-12-18,18.36000061035156
2019-12-19,18.43000030517578
2019-12-20,17.979999542236328
2019-12-23,18.18000030517578
2019-12-24,17.790000915527344
2019-12-26,17.93000030517578
2019-12-27,17.829999923706055
2019-12-30,17.93000030517578
2019-12-31,17.979999542236328
2020-01-02,17.989999771118164
2020-01-03,17.670000076293945
2020-01-06,17.790000915527344
2020-01-07,17.760000228881836
2020-01-08,17.81999969482422
2020-01-09,18.010000228881836
2020-01-10,17.700000762939453
2020-01-13,18.059999465942383
2020-01-14,17.899999618530273
2020-01-15,18.0
2020-01-16,18.26000022888184
2020-01-17,18.31999969482422
2020-01-21,18.309999465942383
2020-01-22,18.51000022888184
2020-01-23,18.46999931335449
2020-01-24,18.170000076293945
2020-01-27,17.700000762939453
2020-01-28,17.969999313354492
2020-01-29,17.6299991607666
2020-01-30,17.6299991607666
2020-01-31,17.299999237060547
2020-02-03,17.280000686645508
2020-02-04,17.850000381469727
2020-02-05,18.38999938964844
2020-02-06,18.200000762939453
2020-02-07,18.21999931335449
2020-02-10,18.57999992370605
2020-02-11,18.88999938964844
2020-02-12,18.57999992370605
2020-02-13,18.010000228881836
2020-02-14,17.780000686645508
2020-02-18,17.6200008392334
2020-02-19,17.690000534057617
2020-02-20,18.030000686645508
2020-02-21,17.479999542236328
2020-02-24,16.780000686645508
2020-02-25,15.859999656677246
2020-02-26,15.460000038146973
2020-02-27,14.600000381469728
2020-02-28,14.399999618530272
2020-03-02,14.779999732971191
2020-03-03,14.289999961853027
2020-03-04,14.619999885559082
2020-03-05,13.420000076293944
2020-03-06,13.119999885559082
2020-03-09,11.59000015258789
2020-03-10,12.470000267028809
2020-03-11,11.15999984741211
2020-03-12,9.449999809265137
2020-03-13,10.800000190734863
2020-03-16,8.75
2020-03-17,10.18000030517578
2020-03-18,9.829999923706056
2020-03-19,9.84000015258789
2020-03-20,8.550000190734863
2020-03-23,7.610000133514404
2020-03-24,8.520000457763672
2020-03-25,8.979999542236328
2020-03-26,9.8100004196167
2020-03-27,9.369999885559082
2020-03-30,9.5600004196167
2020-03-31,9.079999923706056
2020-04-01,8.010000228881836
2020-04-02,8.220000267028809
2020-04-03,7.809999942779541
2020-04-06,8.960000038146973
2020-04-07,9.140000343322754
2020-04-08,9.470000267028809
2020-04-09,9.859999656677246
2020-04-13,9.56999969482422
2020-04-14,9.8100004196167
2020-04-15,8.960000038146973
2020-04-16,8.710000038146973
2020-04-17,9.06999969482422
2020-04-20,9.09000015258789
2020-04-21,8.930000305175781
2020-04-22,9.18000030517578
2020-04-23,7.239999771118164
2020-04-24,7.800000190734863
2020-04-27,7.949999809265137
2020-04-28,8.510000228881836
2020-04-29,8.619999885559082
2020-04-30,8.619999885559082
2020-05-01,7.989999771118164
2020-05-04,8.09000015258789
2020-05-05,7.860000133514404
2020-05-06,7.619999885559082
2020-05-07,7.670000076293945
2020-05-08,7.980000019073486
2020-05-11,7.820000171661377
2020-05-12,7.239999771118164
2020-05-13,6.769999980926514
2020-05-14,6.989999771118164
2020-05-15,6.699999809265137
2020-05-18,7.289999961853027
2020-05-19,7.239999771118164
2020-05-20,7.369999885559082
2020-05-21,7.349999904632568
2020-05-22,7.269999980926514
2020-05-26,8.09000015258789
2020-05-27,8.369999885559082
2020-05-28,8.130000114440918
2020-05-29,7.96999979019165
2020-06-01,8.220000267028809
2020-06-02,8.369999885559082
2020-06-03,9.149999618530272
2020-06-04,9.5600004196167
2020-06-05,10.40999984741211
2020-06-08,11.550000190734863
2020-06-09,11.140000343322754
2020-06-10,10.31999969482422
2020-06-11,9.81999969482422
2020-06-12,10.34000015258789
2020-06-15,10.739999771118164
2020-06-16,11.140000343322754
2020-06-17,11.220000267028809
2020-06-18,11.329999923706056
2020-06-19,11.09000015258789
2020-06-22,11.329999923706056
2020-06-23,11.40999984741211
2020-06-24,10.720000267028809
2020-06-25,10.729999542236328
2020-06-26,10.0
2020-06-29,10.390000343322754
2020-06-30,10.760000228881836
2020-07-01,10.260000228881836
2020-07-02,10.550000190734863
2020-07-06,10.760000228881836
2020-07-07,10.34000015258789
2020-07-08,10.600000381469728
2020-07-09,10.039999961853027
2020-07-10,10.529999732971191
2020-07-13,10.619999885559082
2020-07-14,10.489999771118164
2020-07-15,10.93000030517578
2020-07-16,10.729999542236328
2020-07-17,10.489999771118164
2020-07-20,10.289999961853027
2020-07-21,10.739999771118164
2020-07-22,10.529999732971191
2020-07-23,10.68000030517578
2020-07-24,10.4399995803833
2020-07-27,10.710000038146973
2020-07-28,10.369999885559082
2020-07-29,10.600000381469728
2020-07-30,10.100000381469728
2020-07-31,10.039999961853027
2020-08-03,10.0
2020-08-04,9.770000457763672
2020-08-05,10.270000457763672
2020-08-06,10.31999969482422
2020-08-07,10.779999732971191
2020-08-10,10.789999961853027
2020-08-11,10.9399995803833
2020-08-12,11.390000343322754
2020-08-13,10.699999809265137
2020-08-14,10.68000030517578
2020-08-17,10.56999969482422
2020-08-18,10.279999732971191
2020-08-19,10.329999923706056
2020-08-20,10.020000457763672
2020-08-21,10.140000343322754
2020-08-24,10.600000381469728
2020-08-25,10.699999809265137
2020-08-26,10.56999969482422
2020-08-27,10.81999969482422
2020-08-28,10.729999542236328
2020-08-31,10.199999809265137
2020-09-01,10.18000030517578
2020-09-02,10.630000114440918
2020-09-03,11.140000343322754
2020-09-04,11.390000343322754
2020-09-08,10.699999809265137
2020-09-09,10.6899995803833
2020-09-10,10.260000228881836
2020-09-11,10.699999809265137
2020-09-14,10.68000030517578
2020-09-15,10.529999732971191
2020-09-16,10.890000343322754
2020-09-17,11.149999618530272
2020-09-18,10.979999542236328
2020-09-21,10.220000267028809
2020-09-22,10.1899995803833
2020-09-23,10.420000076293944
2020-09-24,10.800000190734863
2020-09-25,10.8100004196167
2020-09-28,11.489999771118164
2020-09-29,11.43000030517578
2020-09-30,11.40999984741211
2020-10-01,11.25
2020-10-02,11.850000381469728

Indicator data:
date,10-day,30-day
2020-01-06,17.82641416029497,18.200711909605182
2020-01-07,17.775515384866736,18.150171088762182
2020-01-08,17.754929542541504,18.092607658960485
2020-01-09,17.800242649425158,18.045794052684606
2020-01-10,17.814666996580183,17.993370436528252
2020-01-13,17.88043452176181,17.961250702847718
2020-01-14,17.922131262885202,17.937392232682967
2020-01-15,17.969727088465834,17.925344160346572
2020-01-16,18.060060454859876,17.93867997432695
2020-01-17,18.189747299810854,17.974604663165238
2020-01-21,18.298878531022506,18.022425037301996
2020-01-22,18.419434142835215,18.089571967791482
2020-01-23,18.508191630816217,18.16439700150575
2020-01-24,18.481949228228945,18.22200772001752
2020-01-27,18.269272721415817,18.235883375393446
2020-01-28,18.059676792645693,18.231847516610205
2020-01-29,17.82520182445796,18.193198353620414
2020-01-30,17.642151006062825,18.13234916509266
2020-01-31,17.4490194359211,18.040404259466357
2020-02-03,17.300807492419928,17.929971266852483
2020-02-04,17.32981798383925,17.842178123091283
2020-02-05,17.612848466815368,17.811522235186725
2020-02-06,17.940121461887554,17.81299293203593
2020-02-07,18.21148502658112,17.838875762433563
2020-02-10,18.45289903891207,17.900168975365204
2020-02-11,18.696525028498485,17.999122367161576
2020-02-12,18.810484535525546,18.10189118135787
2020-02-13,18.69031287684585,18.17224819156004
2020-02-14,18.39032328827213,18.201685542786848
2020-02-18,18.01141458569151,18.18781899551337
2020-02-19,17.69996031944198,18.14701016990087
2020-02-20,17.60381904370857,18.116079843856102
2020-02-21,17.543071321044305,18.06448241189389
2020-02-24,17.3284448989714,17.95519035694847
2020-02-25,16.817111271559586,17.745200744239234
2020-02-26,16.141474728632456,17.437623657752965
2020-02-27,15.315444402020388,17.01655196275335
2020-02-28,14.571292840591587,16.52701357004036
2020-03-02,14.157444260337137,16.041265482611983
2020-03-03,13.955292718097416,15.5589174010164
2020-03-04,13.987262420461635,15.126366806645546
2020-03-05,13.855100865797562,14.68364525179709
2020-03-06,13.563222126045611,14.23264197561476
2020-03-09,12.834545452426177,13.697482441659469
2020-03-10,12.255888998628867,13.180296046280946
2020-03-11,11.594313249684342,12.623446919909513
2020-03-12,10.684666705854012,11.970598146342889
2020-03-13,10.09580810142286,11.369255848717092
2020-03-16,9.421010108909224,10.723363015814067
2020-03-17,9.1590808839509,10.162944401429971
2020-03-18,9.123383927586103,9.687391731132315
2020-03-19,9.315929413805103,9.305225805535539
2020-03-20,9.179050647851193,8.919282466211627
2020-03-23,8.691080969993514,8.496247010743746
2020-03-24,8.260161855004052,8.111432359312596
2020-03-25,8.149323360366052,7.81262626606931
2020-03-26,8.487535475721264,7.660186499182042
2020-03-27,8.945151569867376,7.6156087204546905
2020-03-30,9.392919310174806,7.671009813739408
2020-03-31,9.553484945586233,7.756042790515449
2020-04-01,9.240788019546354,7.79376502594213
2020-04-02,8.742969873216417,7.805568984708478
2020-04-03,8.200808238019848,7.774154288298769
2020-04-06,8.062303129350296,7.790972916063015
2020-04-07,8.267707199038883,7.860173278794922
2020-04-08,8.744040585527516,7.997181173909096
2020-04-09,9.308434435333869,8.202915917075236
2020-04-13,9.721969630501485,8.43538397271146
2020-04-14,9.959272673635772,8.67891872448733
2020-04-15,9.83817169979365,8.85881942557605
2020-04-16,9.474626287787851,8.96154092034986
2020-04-17,9.135434316384673,9.023398957457593
2020-04-20,8.941121196746828,9.063876721867524
2020-04-21,8.843252575517903,9.08426848025305
2020-04-22,8.889363802322235,9.117531582223899
2020-04-23,8.531818325350983,9.039635164404427
2020-04-24,8.104353676420269,8.905727645932132
2020-04-27,7.759979843370843,8.741976739001531
2020-04-28,7.7520000332533705,8.594289284196806
2020-04-29,7.952323217102975,8.477292500020782
2020-04-30,8.281131264657686,8.399839440366273
2020-05-01,8.401504923117281,8.308989596042155
2020-05-04,8.37135343455305,8.216382420515929
2020-05-05,8.186343401128596,8.1111196973076
2020-05-06,7.927888889987059,7.992431162967476
2020-05-07,7.692929324718437,7.875854463645634
2020-05-08,7.635242472754585,7.789417908900954
2020-05-11,7.657535435936668,7.720175266710233
2020-05-12,7.579181844056254,7.634492104062043
2020-05-13,7.321989882112753,7.512034032267908
2020-05-14,7.060616061181733,7.382636522665674
2020-05-15,6.793525083137282,7.230438648654569
2020-05-18,6.7476058738400235,7.106607448738535
2020-05-19,6.848787684392447,7.011682696650104
2020-05-20,7.058686685562134,6.953838235947393
2020-05-21,7.244030147128636,6.924788046190815
2020-05-22,7.360282723108927,6.9165758571488025
2020-05-26,7.584292913687349,6.9699256901929045
2020-05-27,7.912757594657665,7.086701684510834
2020-05-28,8.18075763625328,7.230603136777023
2020-05-29,8.295171733336014,7.377225721882237
2020-06-01,8.345292979057389,7.532297787785958
2020-06-02,8.375353562711464,7.69308525610141
2020-06-03,8.58628275514853,7.903278795912275
2020-06-04,8.977747444191364,8.17113043140767
2020-06-05,9.60310099245322,8.520602128052797
2020-06-08,10.478646506203544,8.98195663004366
2020-06-09,11.20959610553703,9.473995379717973
2020-06-10,11.443666786617703,9.906711878588549
2020-06-11,11.164939371744792,10.23606419151402
2020-06-12,10.77073729832967,10.496462393832463
2020-06-15,10.521949358179112,10.7158552031705
2020-06-16,10.57052519538186,10.929143737345187
2020-06-17,10.820656645418419,11.142586413814175
2020-06-18,11.143949640640107,11.353631947766921
2020-06-19,11.329666832239942,11.528374975676176
2020-06-22,11.429737491800326,11.672695410123435
2020-06-23,11.469858602080683,11.784465289884997
2020-06-24,11.31732323868106,11.817981063183064
2020-06-25,11.07498980146466,11.788339456366808
2020-06-26,10.66928269164731,11.667248034357597
2020-06-29,10.35503025247593,11.507526174189797
2020-06-30,10.256474838834821,11.359692500637426
2020-07-01,10.230747678544788,11.207605074297996
2020-07-02,10.292767951464413,11.075733424497761
2020-07-06,10.444990199503273,10.974119119780893
2020-07-07,10.509687138567067,10.863738497593923
2020-07-08,10.54669724666711,10.762803759831254
2020-07-09,10.43766687951907,10.641498034043126
2020-07-10,10.386727333068848,10.538579018705635
2020-07-13,10.397818096237954,10.462961425644522
2020-07-14,10.449009896288016,10.408199375385026
2020-07-15,10.593858430843161,10.40040616739608
2020-07-16,10.72930284365259,10.421733006781576
2020-07-17,10.751403829786513,10.444041206708517
2020-07-20,10.637555352605952,10.452950130688247
2020-07-21,10.586312934605763,10.474989156552112
2020-07-22,10.540221996500035,10.489122800792845
2020-07-23,10.556171607007885,10.50974071328358
2020-07-24,10.543373629059454,10.520608071221245
2020-07-27,10.58665648951675,10.540783689184428
2020-07-28,10.549302952698989,10.545475799738291
2020-07-29,10.540868735072587,10.553480489142908
2020-07-30,10.419909284572409,10.532644701174938
2020-07-31,10.257868936326767,10.485553710178662
2020-08-03,10.078010311512031,10.41654944730916
2020-08-04,9.901808323523012,10.322777102070468
2020-08-05,9.874919506034466,10.244950642978846
2020-08-06,9.977697188444813,10.191927729131502
2020-08-07,10.24602024193966,10.189608730158927
2020-08-10,10.543494854551373,10.225449578787693
2020-08-11,10.827373481519293,10.294982152617534
2020-08-12,11.122535141068274,10.410057407194568
2020-08-13,11.20192913190283,10.509771006696969
2020-08-14,11.112181814752445,10.589759542711318
2020-08-17,10.913515153557363,10.644943396592227
2020-08-18,10.646696915289368,10.662412540545173
2020-08-19,10.40227260107946,10.654964118191845
2020-08-20,10.177595941948168,10.61869817050127
2020-08-21,10.042242562650431,10.569598911141835
2020-08-24,10.095071021956628,10.541630497970035
2020-08-25,10.286778075285632,10.536857042551896
2020-08-26,10.477697102710456,10.537429078283276
2020-08-27,10.67147464463205,10.555403600576533
2020-08-28,10.795393609518955,10.574749067538956
2020-08-31,10.714959161931818,10.558618193834915
2020-09-01,10.516716871357927,10.516444349938398
2020-09-02,10.417838286390209,10.487499197033571
2020-09-03,10.54270720915361,10.506297799011286
2020-09-04,10.846222547088006,10.58041254641762
2020-09-08,11.023586167229547,10.653824759350027
2020-09-09,11.049313226372306,10.717813993542853
2020-09-10,10.846838367346562,10.737038005876713
2020-09-11,10.669040286902225,10.744193900050227
2020-09-14,10.55420195743291,10.74174049879915
2020-09-15,10.508313063419227,10.728490670590418
2020-09-16,10.578838429306492,10.731277790513944
2020-09-17,10.776757566856615,10.764855921960645
2020-09-18,10.950161470548073,10.806163059972949
2020-09-21,10.874040244324041,10.805924700665217
2020-09-22,10.642494741112296,10.771412482723115
2020-09-23,10.425121035720363,10.72068844740536
2020-09-24,10.382191855498036,10.68159346795851
2020-09-25,10.475192061337557,10.65823758685888
2020-09-28,10.806151680994516,10.69696448093674
2020-09-29,11.173606273381395,10.77820609208931
2020-09-30,11.459555696236967,10.88225556971779
2020-10-01,11.561939460099344,10.984703605371566
2020-10-02,11.687535434299045,11.113453810838816

Answer: 11.0