filters.py

# Rate 24000 sps, ripple 0.2 dB, atten 100 dB, shape 1.2
# Filters key is the bandwidth at 24000 sps.
# key = bw * 24000 / rate / 2
# bw  = key * 2 * rate / 24000
Filters = {

8500:   # 55 taps
[ -0.001578241201420500, -0.002488309592652162, 0.001185909979889287, 0.000286041612735020, -0.001914552184024928, 0.002760744242385052,
-0.001796589368523962, -0.001056335106849282, 0.004390770806455585, -0.005824325923037834, 0.003465568616258560, 0.002462568821267293,
-0.008988281812658983, 0.011629434198087422, -0.007027876977623796, -0.004272818661253936, 0.016890540812408691, -0.022619963224181760,
 0.014949848668575091, 0.006115840936585570, -0.031813780331403710, 0.046915611796058194, -0.036226209362519565, -0.007500120805011563,
 0.078216492123247466, -0.156996838729026640, 0.218668091485032380, 0.758014834761081340, 0.218668091485032380, -0.156996838729026640,
 0.078216492123247466, -0.007500120805011563, -0.036226209362519565, 0.046915611796058194, -0.031813780331403710, 0.006115840936585570,
 0.014949848668575091, -0.022619963224181760, 0.016890540812408691, -0.004272818661253936, -0.007027876977623796, 0.011629434198087422,
-0.008988281812658983, 0.002462568821267293, 0.003465568616258560, -0.005824325923037834, 0.004390770806455585, -0.001056335106849282,
-0.001796589368523962, 0.002760744242385052, -0.001914552184024928, 0.000286041612735020, 0.001185909979889287, -0.002488309592652162,
-0.001578241201420500],

7500:   # 62 taps
[ 0.000094561136776712, 0.001408783281963872, 0.003252521294198745, 0.001088470223697677, -0.002238006126669353, 0.000797427337925380,
 0.001818354390057951, -0.002971083246008131, 0.000737271087741229, 0.003304967641132078, -0.004678221609224611, 0.000618143813431047,
 0.005732278632558854, -0.007264716193352521, 0.000382151456262394, 0.009375552017313197, -0.011107789354244654, 0.000048810931888440,
 0.014797494013431127, -0.016988015917755381, -0.000322746345617388, 0.023289857616213484, -0.026716501910571362, -0.000681860486120778,
 0.038508535988246995, -0.045999278172093885, -0.000961050429347091, 0.076884527279961243, -0.108006033576806130, -0.001113929105132611,
 0.551548401015432340, 0.551548401015432340, -0.001113929105132611, -0.108006033576806130, 0.076884527279961243, -0.000961050429347091,
-0.045999278172093885, 0.038508535988246995, -0.000681860486120778, -0.026716501910571362, 0.023289857616213484, -0.000322746345617388,
-0.016988015917755381, 0.014797494013431127, 0.000048810931888440, -0.011107789354244654, 0.009375552017313197, 0.000382151456262394,
-0.007264716193352521, 0.005732278632558854, 0.000618143813431047, -0.004678221609224611, 0.003304967641132078, 0.000737271087741229,
-0.002971083246008131, 0.001818354390057951, 0.000797427337925380, -0.002238006126669353, 0.001088470223697677, 0.003252521294198745,
 0.001408783281963872, 0.000094561136776712],

6000:   # 77 taps
 [0.000208183216794497, 0.001160220144497454, 0.002498877019501132, 0.002217684703504632, -0.000364985361618348, -0.001823661861823501,
 0.000356579314286080, 0.002005946277037424, -0.000685757071824683, -0.002428321330453817, 0.001256816376812629, 0.002943833745660115,
-0.002130949481744204, -0.003446793644558851, 0.003380457505759830, 0.003807055791440830, -0.005074958590792311, -0.003869772827804518,
 0.007242784565398008, 0.003418656761533474, -0.009894698971107840, -0.002211451952907241, 0.012977467451293289, -0.000058006701182926,
-0.016390443243429843, 0.003773319671211690, 0.019989716564592076, -0.009449626980637388, -0.023581188491464997, 0.017927337095200193,
 0.026945533578336647, -0.030887338584165511, -0.029856365801280219, 0.052657593695444822, 0.032108551641510746, -0.099253908185103573,
-0.033533139787951992, 0.315983886115891840, 0.534019780032233380, 0.315983886115891840, -0.033533139787951992, -0.099253908185103573,
 0.032108551641510746, 0.052657593695444822, -0.029856365801280219, -0.030887338584165511, 0.026945533578336647, 0.017927337095200193,
-0.023581188491464997, -0.009449626980637388, 0.019989716564592076, 0.003773319671211690, -0.016390443243429843, -0.000058006701182926,
 0.012977467451293289, -0.002211451952907241, -0.009894698971107840, 0.003418656761533474, 0.007242784565398008, -0.003869772827804518,
-0.005074958590792311, 0.003807055791440830, 0.003380457505759830, -0.003446793644558851, -0.002130949481744204, 0.002943833745660115,
 0.001256816376812629, -0.002428321330453817, -0.000685757071824683, 0.002005946277037424, 0.000356579314286080, -0.001823661861823501,
-0.000364985361618348, 0.002217684703504632, 0.002498877019501132, 0.001160220144497454, 0.000208183216794497],

5000:   # 92 taps
[ 0.000172282027074915, 0.000805722137099302, 0.001789488027434626, 0.002208898476835740, 0.001133555920432830, -0.000798012231727563,
-0.001468876483570138, 0.000053213574826391, 0.001640044205108085, 0.000693959429133929, -0.001663633271521857, -0.001609719846438075,
 0.001334915862232435, 0.002601113060240987, -0.000511327252542249, -0.003459777069001452, -0.000863807590293483, 0.003915575549171324,
 0.002725579328876624, -0.003678783180717698, -0.004875619345633069, 0.002500119680365451, 0.006978228022424931, -0.000223624762857588,
-0.008586543420189311, -0.003156720729060025, 0.009180028261871051, 0.007460886285077675, -0.008222908809263846, -0.012298402032805727,
 0.005219135899689294, 0.017069401572755501, 0.000240426913514277, -0.020971624610692834, -0.008474182212803629, 0.022996901553415793,
 0.019787130769856574, -0.021836278313112276, -0.034759648853466663, 0.015468734639474426, 0.055194479055695952, 0.000590985958335975,
-0.088238504731419823, -0.043831925654670714, 0.182996493758220890, 0.409587845444253250, 0.409587845444253250, 0.182996493758220890,
-0.043831925654670714, -0.088238504731419823, 0.000590985958335975, 0.055194479055695952, 0.015468734639474426, -0.034759648853466663,
-0.021836278313112276, 0.019787130769856574, 0.022996901553415793, -0.008474182212803629, -0.020971624610692834, 0.000240426913514277,
 0.017069401572755501, 0.005219135899689294, -0.012298402032805727, -0.008222908809263846, 0.007460886285077675, 0.009180028261871051,
-0.003156720729060025, -0.008586543420189311, -0.000223624762857588, 0.006978228022424931, 0.002500119680365451, -0.004875619345633069,
-0.003678783180717698, 0.002725579328876624, 0.003915575549171324, -0.000863807590293483, -0.003459777069001452, -0.000511327252542249,
 0.002601113060240987, 0.001334915862232435, -0.001609719846438075, -0.001663633271521857, 0.000693959429133929, 0.001640044205108085,
 0.000053213574826391, -0.001468876483570138, -0.000798012231727563, 0.001133555920432830, 0.002208898476835740, 0.001789488027434626,
 0.000805722137099302, 0.000172282027074915],

4500:   # 102 taps
[ 0.000109626786353929, 0.000462685347095325, 0.000976091511950423, 0.001146819725082014, 0.000393473830731237, -0.001141511548465342,
-0.002282834370334400, -0.001829207175666342, -0.000101528442900756, 0.000987382913028173, 0.000039751448950354, -0.001822373509053446,
-0.001985247021210946, 0.000232895236822806, 0.002153431919758378, 0.000930723811183338, -0.002248491432658168, -0.003017055190706798,
 0.000342078561845510, 0.003721285661215643, 0.002085819103613060, -0.003140571194897081, -0.004835117960215140, 0.000288263563014682,
 0.005924235485555640, 0.003715592386573005, -0.004558690834977428, -0.007633320493226938, 0.000139066056400393, 0.009165154333957292,
 0.006093793617689697, -0.006780247949818048, -0.011926916343123978, -0.000057228900700871, 0.014232549280021243, 0.009771685994328400,
-0.010499186884061604, -0.019033587881754202, -0.000249830231388923, 0.023228171670193941, 0.016360728644062135, -0.017855007053639658,
-0.033458833271228797, -0.000405885453398987, 0.044679917304132288, 0.033455780397647107, -0.040439521683945157, -0.085684078775375178,
-0.000493182012170114, 0.201251835014007290, 0.374516101600616320, 0.374516101600616320, 0.201251835014007290, -0.000493182012170114,
-0.085684078775375178, -0.040439521683945157, 0.033455780397647107, 0.044679917304132288, -0.000405885453398987, -0.033458833271228797,
-0.017855007053639658, 0.016360728644062135, 0.023228171670193941, -0.000249830231388923, -0.019033587881754202, -0.010499186884061604,
 0.009771685994328400, 0.014232549280021243, -0.000057228900700871, -0.011926916343123978, -0.006780247949818048, 0.006093793617689697,
 0.009165154333957292, 0.000139066056400393, -0.007633320493226938, -0.004558690834977428, 0.003715592386573005, 0.005924235485555640,
 0.000288263563014682, -0.004835117960215140, -0.003140571194897081, 0.002085819103613060, 0.003721285661215643, 0.000342078561845510,
-0.003017055190706798, -0.002248491432658168, 0.000930723811183338, 0.002153431919758378, 0.000232895236822806, -0.001985247021210946,
-0.001822373509053446, 0.000039751448950354, 0.000987382913028173, -0.000101528442900756, -0.001829207175666342, -0.002282834370334400,
-0.001141511548465342, 0.000393473830731237, 0.001146819725082014, 0.000976091511950423, 0.000462685347095325, 0.000109626786353929],

4000:   # 115 taps
[ 0.000078524780320715, 0.000329316620713670, 0.000756688762644958, 0.001124260123708105, 0.001012255791778806, 0.000167097630541898,
-0.001099970608704988, -0.001940975178324101, -0.001625045960154994, -0.000333634994172134, 0.000774600995458535, 0.000561151578352762,
-0.000854751315214004, -0.001984988321940357, -0.001407739886101419, 0.000563473972774177, 0.001900424989770745, 0.000925528523083090,
-0.001609328373038515, -0.002935359144493341, -0.001199176692593675, 0.002118199425756780, 0.003340065554812114, 0.000621160360920014,
-0.003467567745617676, -0.004224605385298791, -0.000122849763708023, 0.004757557369118008, 0.004664298923525774, -0.001148493552322016,
-0.006629807337962404, -0.005080846185003255, 0.002831233307698604, 0.008609924128977818, 0.004891354675929344, -0.005425659232916345,
-0.010937452229276256, -0.004116901228197529, 0.008877312794209294, 0.013300805492116527, 0.002232134062032589, -0.013614806007146969,
-0.015720726837983701, 0.001140172406302503, 0.019985979932262889, 0.017946437617680795, -0.007018595519087580, -0.029113241143045584,
-0.019901010720465118, 0.017502959326722210, 0.043879416112787749, 0.021395356319346116, -0.039872421015430898, -0.076438935865810770,
-0.022353637195009195, 0.124776719393937450, 0.286085089477746360, 0.356006518780215160, 0.286085089477746360, 0.124776719393937450,
-0.022353637195009195, -0.076438935865810770, -0.039872421015430898, 0.021395356319346116, 0.043879416112787749, 0.017502959326722210,
-0.019901010720465118, -0.029113241143045584, -0.007018595519087580, 0.017946437617680795, 0.019985979932262889, 0.001140172406302503,
-0.015720726837983701, -0.013614806007146969, 0.002232134062032589, 0.013300805492116527, 0.008877312794209294, -0.004116901228197529,
-0.010937452229276256, -0.005425659232916345, 0.004891354675929344, 0.008609924128977818, 0.002831233307698604, -0.005080846185003255,
-0.006629807337962404, -0.001148493552322016, 0.004664298923525774, 0.004757557369118008, -0.000122849763708023, -0.004224605385298791,
-0.003467567745617676, 0.000621160360920014, 0.003340065554812114, 0.002118199425756780, -0.001199176692593675, -0.002935359144493341,
-0.001609328373038515, 0.000925528523083090, 0.001900424989770745, 0.000563473972774177, -0.001407739886101419, -0.001984988321940357,
-0.000854751315214004, 0.000561151578352762, 0.000774600995458535, -0.000333634994172134, -0.001625045960154994, -0.001940975178324101,
-0.001099970608704988, 0.000167097630541898, 0.001012255791778806, 0.001124260123708105, 0.000756688762644958, 0.000329316620713670,
 0.000078524780320715],

3000:   # 153 taps
[ 0.000035516842253053, 0.000120241356692793, 0.000262655558849812, 0.000421822903927101, 0.000504577556110132, 0.000393748344899348,
 0.000013887896365045, -0.000595749610102644, -0.001250516069080062, -0.001672797229233531, -0.001624666112532619, -0.001059802835950466,
-0.000199611602796516, 0.000539126532493226, 0.000756552265297489, 0.000316087930054194, -0.000530090257617794, -0.001244496438584232,
-0.001312107606392913, -0.000583465448463906, 0.000572285419075017, 0.001440987738923421, 0.001399231913182619, 0.000355359654986622,
-0.001108071194955440, -0.002036249585608732, -0.001707924634389252, -0.000169594756520662, 0.001685676765584473, 0.002618141236597755,
 0.001855681542593165, -0.000301881949096732, -0.002542398236828585, -0.003317624887398237, -0.001892391320644168, 0.001031582912020721,
 0.003613502326574886, 0.004009329165673526, 0.001661239094822322, -0.002143832449766766, -0.004935146076383144, -0.004634572876828250,
-0.001061541395886805, 0.003698344992855291, 0.006465358367957256, 0.005053382115343493, -0.000073525601278193, -0.005791007488487868,
-0.008166064459464053, -0.005109407447857288, 0.001926336767092539, 0.008511258651897639, 0.009958456933858797, 0.004574761558815073,
-0.004759500034603159, -0.012000283350062089, -0.011748002733961208, -0.003120526928071337, 0.008993494047071084, 0.016529385910476514,
 0.013426861274101313, 0.000181178754148492, -0.015466003330041472, -0.022748666494653846, -0.014877802849879123, 0.005502737892245722,
 0.026345716718994539, 0.032621748472455206, 0.016002483863926359, -0.017887767208878101, -0.049636964594866217, -0.054713319818683277,
-0.016713474537575129, 0.061906959876918494, 0.157995584096340960, 0.236648015289099320, 0.266956938993864910, 0.236648015289099320,
 0.157995584096340960, 0.061906959876918494, -0.016713474537575129, -0.054713319818683277, -0.049636964594866217, -0.017887767208878101,
 0.016002483863926359, 0.032621748472455206, 0.026345716718994539, 0.005502737892245722, -0.014877802849879123, -0.022748666494653846,
-0.015466003330041472, 0.000181178754148492, 0.013426861274101313, 0.016529385910476514, 0.008993494047071084, -0.003120526928071337,
-0.011748002733961208, -0.012000283350062089, -0.004759500034603159, 0.004574761558815073, 0.009958456933858797, 0.008511258651897639,
 0.001926336767092539, -0.005109407447857288, -0.008166064459464053, -0.005791007488487868, -0.000073525601278193, 0.005053382115343493,
 0.006465358367957256, 0.003698344992855291, -0.001061541395886805, -0.004634572876828250, -0.004935146076383144, -0.002143832449766766,
 0.001661239094822322, 0.004009329165673526, 0.003613502326574886, 0.001031582912020721, -0.001892391320644168, -0.003317624887398237,
-0.002542398236828585, -0.000301881949096732, 0.001855681542593165, 0.002618141236597755, 0.001685676765584473, -0.000169594756520662,
-0.001707924634389252, -0.002036249585608732, -0.001108071194955440, 0.000355359654986622, 0.001399231913182619, 0.001440987738923421,
 0.000572285419075017, -0.000583465448463906, -0.001312107606392913, -0.001244496438584232, -0.000530090257617794, 0.000316087930054194,
 0.000756552265297489, 0.000539126532493226, -0.000199611602796516, -0.001059802835950466, -0.001624666112532619, -0.001672797229233531,
-0.001250516069080062, -0.000595749610102644, 0.000013887896365045, 0.000393748344899348, 0.000504577556110132, 0.000421822903927101,
 0.000262655558849812, 0.000120241356692793, 0.000035516842253053],

2800:   # 164 taps
[ 0.000031131729843669, 0.000101363194753254, 0.000221445426297415, 0.000366876574918002, 0.000474767078312489, 0.000455842035531617,
 0.000232260566090893, -0.000211274148558287, -0.000789599231892209, -0.001321558408924163, -0.001590694231360794, -0.001445876584766002,
-0.000895790759735873, -0.000140741015448872, 0.000492974178868593, 0.000701994832615354, 0.000371048524479058, -0.000337331657814867,
-0.001034893398244673, -0.001296923457098872, -0.000901505495786621, 0.000013737161230886, 0.000983722390445291, 0.001446949255083495,
 0.001067648443145340, -0.000031354774249279, -0.001279007610852184, -0.001938862367504847, -0.001531888866790246, -0.000161657161535566,
 0.001470243306104189, 0.002410991575715065, 0.002003292184824320, 0.000324608046693798, -0.001764616004515830, -0.003045092340783782,
-0.002637146414877572, -0.000580772176139985, 0.002073712223135724, 0.003782183003317882, 0.003389875946583850, 0.000885046737439423,
-0.002455184150014141, -0.004690784048082864, -0.004326357662532086, -0.001279167957787954, 0.002902671922490944, 0.005795008254325585,
 0.005478283962467929, 0.001772012477148658, -0.003450331904449436, -0.007166940301855534, -0.006922766471023288, -0.002399780547747377,
 0.004134972375816635, 0.008909643621809859, 0.008776960071400969, 0.003217389082858829, -0.005021094247026112, -0.011201040385085154,
-0.011246577131734643, -0.004323921802028225, 0.006225285499714047, 0.014372818914766290, 0.014725605621083649, 0.005913959753070873,
-0.007987043798634774, -0.019127577707865114, -0.020080950001885520, -0.008435384367710340, 0.010879472951485192, 0.027244661531034900,
 0.029649597250285761, 0.013188790214990415, -0.016693663421477496, -0.044885495280403948, -0.052572421004629472, -0.026098663081897257,
 0.035426680640922303, 0.117691081437968410, 0.195575709828410660, 0.242828423889182740, 0.242828423889182740, 0.195575709828410660,
 0.117691081437968410, 0.035426680640922303, -0.026098663081897257, -0.052572421004629472, -0.044885495280403948, -0.016693663421477496,
 0.013188790214990415, 0.029649597250285761, 0.027244661531034900, 0.010879472951485192, -0.008435384367710340, -0.020080950001885520,
-0.019127577707865114, -0.007987043798634774, 0.005913959753070873, 0.014725605621083649, 0.014372818914766290, 0.006225285499714047,
-0.004323921802028225, -0.011246577131734643, -0.011201040385085154, -0.005021094247026112, 0.003217389082858829, 0.008776960071400969,
 0.008909643621809859, 0.004134972375816635, -0.002399780547747377, -0.006922766471023288, -0.007166940301855534, -0.003450331904449436,
 0.001772012477148658, 0.005478283962467929, 0.005795008254325585, 0.002902671922490944, -0.001279167957787954, -0.004326357662532086,
-0.004690784048082864, -0.002455184150014141, 0.000885046737439423, 0.003389875946583850, 0.003782183003317882, 0.002073712223135724,
-0.000580772176139985, -0.002637146414877572, -0.003045092340783782, -0.001764616004515830, 0.000324608046693798, 0.002003292184824320,
 0.002410991575715065, 0.001470243306104189, -0.000161657161535566, -0.001531888866790246, -0.001938862367504847, -0.001279007610852184,
-0.000031354774249279, 0.001067648443145340, 0.001446949255083495, 0.000983722390445291, 0.000013737161230886, -0.000901505495786621,
-0.001296923457098872, -0.001034893398244673, -0.000337331657814867, 0.000371048524479058, 0.000701994832615354, 0.000492974178868593,
-0.000140741015448872, -0.000895790759735873, -0.001445876584766002, -0.001590694231360794, -0.001321558408924163, -0.000789599231892209,
-0.000211274148558287, 0.000232260566090893, 0.000455842035531617, 0.000474767078312489, 0.000366876574918002, 0.000221445426297415,
 0.000101363194753254, 0.000031131729843669],

2500:   # 184 taps
[ 0.000025917992771962, 0.000080053245121681, 0.000175970492512707, 0.000306338738553062, 0.000441565642149420, 0.000529323030925432,
 0.000506924615738917, 0.000324946604356638, -0.000025129491557388, -0.000491406291157732, -0.000962621820235116, -0.001296070805120129,
-0.001367486032675225, -0.001125819560345427, -0.000629044038382859, -0.000039974702137716, 0.000424508165741649, 0.000577252836600570,
 0.000345217289298406, -0.000184075454087644, -0.000781983763019378, -0.001165504636264451, -0.001120965614204760, -0.000611972955861357,
 0.000181852749867249, 0.000923465749187075, 0.001259585458205595, 0.000987840637523650, 0.000172679353454093, -0.000852839379782549,
-0.001614970097646428, -0.001711408440970664, -0.001014931729801465, 0.000231871248756494, 0.001490613857222986, 0.002154309898448981,
 0.001835132214640792, 0.000579040055238457, -0.001106680482118841, -0.002448432281636389, -0.002754083239929045, -0.001760402090267228,
 0.000190461179667856, 0.002251447413131553, 0.003429705849477585, 0.003056701038439272, 0.001150595364468159, -0.001518817798865299,
-0.003726827835919960, -0.004345414044232734, -0.002906143603126905, 0.000100825920300210, 0.003366376342127399, 0.005318377282596896,
 0.004864845763651887, 0.001979300066273931, -0.002175246374000726, -0.005692516278767321, -0.006780045002879058, -0.004649909783330805,
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-0.008942285826077026, -0.010803588267982528, -0.007523983582706444, -0.000118131836810526, 0.008247900700950585, 0.013549640285344118,
 0.012768247956349992, 0.005492469173933735, -0.005544176969275239, -0.015378525898323159, -0.018928522076093565, -0.013447400254072768,
-0.000204681888673014, 0.015499492179231059, 0.026221846254622386, 0.025562428680330915, 0.011389219733612054, -0.012327402868838598,
-0.036056520568517325, -0.047698955925824099, -0.037076675237560336, -0.000252599132841553, 0.058062325226935912, 0.125125149137395140,
 0.183789926776792010, 0.217965757483672360, 0.217965757483672360, 0.183789926776792010, 0.125125149137395140, 0.058062325226935912,
-0.000252599132841553, -0.037076675237560336, -0.047698955925824099, -0.036056520568517325, -0.012327402868838598, 0.011389219733612054,
 0.025562428680330915, 0.026221846254622386, 0.015499492179231059, -0.000204681888673014, -0.013447400254072768, -0.018928522076093565,
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 0.007693898397635463, 0.008280363892442090, 0.005123662380431661, -0.000010396809644141, -0.004649909783330805, -0.006780045002879058,
-0.005692516278767321, -0.002175246374000726, 0.001979300066273931, 0.004864845763651887, 0.005318377282596896, 0.003366376342127399,
 0.000100825920300210, -0.002906143603126905, -0.004345414044232734, -0.003726827835919960, -0.001518817798865299, 0.001150595364468159,
 0.003056701038439272, 0.003429705849477585, 0.002251447413131553, 0.000190461179667856, -0.001760402090267228, -0.002754083239929045,
-0.002448432281636389, -0.001106680482118841, 0.000579040055238457, 0.001835132214640792, 0.002154309898448981, 0.001490613857222986,
 0.000231871248756494, -0.001014931729801465, -0.001711408440970664, -0.001614970097646428, -0.000852839379782549, 0.000172679353454093,
 0.000987840637523650, 0.001259585458205595, 0.000923465749187075, 0.000181852749867249, -0.000611972955861357, -0.001120965614204760,
-0.001165504636264451, -0.000781983763019378, -0.000184075454087644, 0.000345217289298406, 0.000577252836600570, 0.000424508165741649,
-0.000039974702137716, -0.000629044038382859, -0.001125819560345427, -0.001367486032675225, -0.001296070805120129, -0.000962621820235116,
-0.000491406291157732, -0.000025129491557388, 0.000324946604356638, 0.000506924615738917, 0.000529323030925432, 0.000441565642149420,
 0.000306338738553062, 0.000175970492512707, 0.000080053245121681, 0.000025917992771962],

2250:   # 204 taps
[ 0.000021235929725912, 0.000058222413723091, 0.000120890002831670, 0.000203732920433964, 0.000289842861102114, 0.000349648687783014,
 0.000345987806871638, 0.000244741113281256, 0.000028683359304148, -0.000289767552139220, -0.000662562723513035, -0.001011139906426526,
-0.001244168321321761, -0.001284537444429324, -0.001097853884402359, -0.000712241533727792, -0.000220016931252946, 0.000242881192519691,
 0.000536533139642942, 0.000564406769439812, 0.000312158569581760, -0.000137882856713157, -0.000625674547956830, -0.000963565458358823,
-0.001002878434444682, -0.000693839038801721, -0.000115120712337792, 0.000542271936437241, 0.001036221937634474, 0.001161519435408656,
 0.000833656052982527, 0.000135090190320360, -0.000698564960603252, -0.001354001229403848, -0.001554644716587147, -0.001173297796072647,
-0.000298257519547670, 0.000778476775888895, 0.001654851153636767, 0.001966028879000262, 0.001532563461927731, 0.000450688659966846,
-0.000917352451094544, -0.002059631204322221, -0.002502298531213019, -0.002001396043186186, -0.000662678470838726, 0.001065622033389926,
 0.002537010973466811, 0.003144134768937308, 0.002563969753555681, 0.000913777569993959, -0.001253108006318142, -0.003125545369287028,
-0.003932636886255475, -0.003254230145379617, -0.001221262259301159, 0.001484407116176422, 0.003849603664148359, 0.004902048797404353,
 0.004101215157545026, 0.001593866974392046, -0.001780147556263722, -0.004757480195317273, -0.006114639178429671, -0.005158848135225734,
-0.002053747031888304, 0.002164989106816366, 0.005919348898632932, 0.007665501534134797, 0.006511589945553144, 0.002635680468215082,
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 0.009587959427131761, 0.012589212182082522, 0.010837597719690596, 0.004476080310267183, -0.004494123792760167, -0.012783165957938696,
-0.016952789434463451, -0.014752125292065949, -0.006159094027769298, 0.006304669250227038, 0.018192572127496920, 0.024568955795679859,
 0.021832946865353555, 0.009314262398551900, -0.009958208720588032, -0.029683337395096002, -0.041898689176258344, -0.039357322455930641,
-0.017957925042069021, 0.021558306071190737, 0.073246545073647112, 0.127141924217462950, 0.171715605172332860, 0.196918159377366730,
 0.196918159377366730, 0.171715605172332860, 0.127141924217462950, 0.073246545073647112, 0.021558306071190737, -0.017957925042069021,
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 0.024568955795679859, 0.018192572127496920, 0.006304669250227038, -0.006159094027769298, -0.014752125292065949, -0.016952789434463451,
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 0.003406734158392871, -0.003400058938312392, -0.008306681703332177, -0.009718217353005822, -0.007454309167215744, -0.002680807848145089,
 0.002635680468215082, 0.006511589945553144, 0.007665501534134797, 0.005919348898632932, 0.002164989106816366, -0.002053747031888304,
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 0.004902048797404353, 0.003849603664148359, 0.001484407116176422, -0.001221262259301159, -0.003254230145379617, -0.003932636886255475,
-0.003125545369287028, -0.001253108006318142, 0.000913777569993959, 0.002563969753555681, 0.003144134768937308, 0.002537010973466811,
 0.001065622033389926, -0.000662678470838726, -0.002001396043186186, -0.002502298531213019, -0.002059631204322221, -0.000917352451094544,
 0.000450688659966846, 0.001532563461927731, 0.001966028879000262, 0.001654851153636767, 0.000778476775888895, -0.000298257519547670,
-0.001173297796072647, -0.001554644716587147, -0.001354001229403848, -0.000698564960603252, 0.000135090190320360, 0.000833656052982527,
 0.001161519435408656, 0.001036221937634474, 0.000542271936437241, -0.000115120712337792, -0.000693839038801721, -0.001002878434444682,
-0.000963565458358823, -0.000625674547956830, -0.000137882856713157, 0.000312158569581760, 0.000564406769439812, 0.000536533139642942,
 0.000242881192519691, -0.000220016931252946, -0.000712241533727792, -0.001097853884402359, -0.001284537444429324, -0.001244168321321761,
-0.001011139906426526, -0.000662562723513035, -0.000289767552139220, 0.000028683359304148, 0.000244741113281256, 0.000345987806871638,
 0.000349648687783014, 0.000289842861102114, 0.000203732920433964, 0.000120890002831670, 0.000058222413723091, 0.000021235929725912],

2200:   #208 taps
[ 0.000019773973500698, 0.000050300702719923, 0.000099108356371034, 0.000158194404233062, 0.000210525538441445, 0.000229815943545636,
 0.000185844232898202, 0.000053925802103604, -0.000173777821813056, -0.000478713240844808, -0.000812707500835325, -0.001104087723445511,
-0.001273942998532759, -0.001259278130931017, -0.001036517683714317, -0.000637135855849719, -0.000147905388336950, 0.000307371053002897,
 0.000601888175399474, 0.000646481239850203, 0.000423598448328852, 0.000001477795930511, -0.000479511456398659, -0.000847542574860787,
-0.000956181777710176, -0.000738934578391376, -0.000241404176917473, 0.000383518196967566, 0.000920251953818672, 0.001163208934048226,
 0.000993921481591226, 0.000434388361798019, -0.000346030182304409, -0.001078079759008518, -0.001482742622315739, -0.001374843351537245,
-0.000742498373847161, 0.000230275873300524, 0.001212510588437732, 0.001835971920260912, 0.001830429895718975, 0.001135824361158899,
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 0.001436458922346993, 0.002693390382420342, 0.003048363283850710, 0.002282591868736866, 0.000582131982803615, -0.001494683726987109,
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 0.004778960997800515, 0.004083937494744029, 0.001771796479680179, -0.001424175363221383, -0.004367185919670888, -0.005912778052177615,
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 0.003912446091368335, -0.000927394507475861, -0.005884363717650123, -0.009072440354829070, -0.009093145110623519, -0.005615743824657722,
 0.000389138616762466, 0.006884468473346532, 0.011428522924352827, 0.012058034647345471, 0.008084684337356606, 0.000498409327693868,
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 0.020433030409654745, 0.024256700710114647, 0.019055511377788287, 0.005093243716641166, -0.014044229049919777, -0.032091634104820632,
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 0.169056056140688250, 0.192658606871644660, 0.192658606871644660, 0.169056056140688250, 0.127078744612693170, 0.075797616878918297,
 0.025758635108220899, -0.013689386302707808, -0.036619723239870061, -0.041707387370849711, -0.032091634104820632, -0.014044229049919777,
 0.005093243716641166, 0.019055511377788287, 0.024256700710114647, 0.020433030409654745, 0.010229678038446030, -0.002035744936384088,
-0.011969567139734955, -0.016526271123526743, -0.014832606629260737, -0.008214286092348189, 0.000498409327693868, 0.008084684337356606,
 0.012058034647345471, 0.011428522924352827, 0.006884468473346532, 0.000389138616762466, -0.005615743824657722, -0.009093145110623519,
-0.009072440354829070, -0.005884363717650123, -0.000927394507475861, 0.003912446091368335, 0.006958279310681562, 0.007305293729039890,
 0.005067191417250770, 0.001248211259214371, -0.002682898015250491, -0.005343837748934002, -0.005912778052177615, -0.004367185919670888,
-0.001424175363221383, 0.001771796479680179, 0.004083937494744029, 0.004778960997800515, 0.003749027796032780, 0.001496937564140111,
-0.001090420131933939, -0.003083544121084786, -0.003837926603637492, -0.003194641328318874, -0.001494683726987109, 0.000582131982803615,
 0.002282591868736866, 0.003048363283850710, 0.002693390382420342, 0.001436458922346993, -0.000209813690831605, -0.001642386517013215,
-0.002384735614959788, -0.002240751224958943, -0.001337763115758486, -0.000053708874146025, 0.001135824361158899, 0.001830429895718975,
 0.001835971920260912, 0.001212510588437732, 0.000230275873300524, -0.000742498373847161, -0.001374843351537245, -0.001482742622315739,
-0.001078079759008518, -0.000346030182304409, 0.000434388361798019, 0.000993921481591226, 0.001163208934048226, 0.000920251953818672,
 0.000383518196967566, -0.000241404176917473, -0.000738934578391376, -0.000956181777710176, -0.000847542574860787, -0.000479511456398659,
 0.000001477795930511, 0.000423598448328852, 0.000646481239850203, 0.000601888175399474, 0.000307371053002897, -0.000147905388336950,
-0.000637135855849719, -0.001036517683714317, -0.001259278130931017, -0.001273942998532759, -0.001104087723445511, -0.000812707500835325,
-0.000478713240844808, -0.000173777821813056, 0.000053925802103604, 0.000185844232898202, 0.000229815943545636, 0.000210525538441445,
 0.000158194404233062, 0.000099108356371034, 0.000050300702719923, 0.000019773973500698],

2000:   # 230 taps
[ 0.000018263332334824, 0.000047149978647285, 0.000097406241243338, 0.000168379817473922, 0.000253967146823514, 0.000340023431940833,
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 0.000047149978647285, 0.000018263332334824],

1200:   # 390 taps
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-0.000004331430434813],

1050:   # 436 taps
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900:    # 507 taps
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 0.000731379294218185, 0.000779050717176191, 0.000777868837348859, 0.000729757323783321, 0.000639407293886249, 0.000513885517380605,
 0.000362113995846136, 0.000194254912976452, 0.000021049474537857, -0.000146857332295172, -0.000299553787970989, -0.000428434330673012,
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 0.000357188814988566, 0.000426095215060785, 0.000466848645480576, 0.000478101121808084, 0.000460307676423158, 0.000415628506871784,
 0.000347728839468377, 0.000261502601122459, 0.000162731306278391, 0.000057705644340284, -0.000047160366530124, -0.000145719497401035,
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 0.000111858949442223, 0.000178399161339807, 0.000231462231911356, 0.000268225243572190, 0.000286822428035563, 0.000286408115238973,
 0.000267145694421862, 0.000230168155042476, 0.000177457791675865, 0.000111715248667983, 0.000036181038541454, -0.000045562167590561,
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 0.000056611414853593, 0.000066239730112684, 0.000071044828173283, 0.000071774979399342, 0.000069229653331724, 0.000064222904381994,
 0.000057525397104827, 0.000049840688763229, 0.000041775447258916, 0.000033835554436160, 0.000026407938202815, 0.000019768330546629,
 0.000014080571079703, 0.000009418988876053, 0.000008584643858565 ],

800:    # 576 taps
[ 0.000007812421315026, 0.000008939491599758, 0.000013730623424634, 0.000019922294330328, 0.000027648080357536, 0.000037033583075960,
 0.000048143861498476, 0.000060975611534136, 0.000075478577997365, 0.000091486545323856, 0.000108759338791293, 0.000126959389238696,
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 0.000037033583075960, 0.000027648080357536, 0.000019922294330328, 0.000013730623424634, 0.000008939491599758, 0.000007812421315026],

400:    # Shape 1.3, 770 taps
[ 0.000006365988874769, 0.000003794338487480, 0.000004876278267121, 0.000006131564967683, 0.000007569854655698, 0.000009199819153557,
 0.000011019782182642, 0.000013040101237056, 0.000015265995566942, 0.000017696391039940, 0.000020312791765427, 0.000023135950087517,
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