$SPAD/src/input seccsc.input

Timothy Daly December 3, 2016

Abstract

This compares Axiom’s sec and csc functions with tables published in Abramowitz and Stegun.

Contents

2

In the following table there are 4 columns. The first column is the argument of sec(x), ranging from 0.01 to 1.60. The second column is the reference value of sec from the book Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp186-188

— * —

)set break resume
)spool seccsc.output
)set message test on
)set message auto off
)clear all
--S 1 of 2
[[0.01,1.0000500,sec(0.01),sec(0.01)-1.0000500],_
[0.02,1.0002000,sec(0.02),sec(0.02)-1.0002000],_
[0.03,1.0004502,sec(0.03),sec(0.03)-1.0004502],_
[0.04,1.0008005,sec(0.04),sec(0.04)-1.0008005],_
[0.05,1.0012513,sec(0.05),sec(0.05)-1.0012513],_
[0.06,1.0018027,sec(0.06),sec(0.06)-1.0018027],_
[0.07,1.0024550,sec(0.07),sec(0.07)-1.0024550],_
[0.08,1.0032086,sec(0.08),sec(0.08)-1.0032086],_
[0.09,1.0040637,sec(0.09),sec(0.09)-1.0040637],_
[0.10,1.0050209,sec(0.10),sec(0.10)-1.0050209],_
[0.11,1.0060807,sec(0.11),sec(0.11)-1.0060807],_
[0.12,1.0072435,sec(0.12),sec(0.12)-1.0072435],_
[0.13,1.0085099,sec(0.13),sec(0.13)-1.0085099],_
[0.14,1.0098807,sec(0.14),sec(0.14)-1.0098807],_
[0.15,1.0113564,sec(0.15),sec(0.15)-1.0113564],_
[0.16,1.0129380,sec(0.16),sec(0.16)-1.0129380],_
[0.17,1.0146261,sec(0.17),sec(0.17)-1.0146261],_
[0.18,1.0164216,sec(0.18),sec(0.18)-1.0164216],_
[0.19,1.0183255,sec(0.19),sec(0.19)-1.0183255],_
[0.20,1.0203388,sec(0.20),sec(0.20)-1.0203388],_
[0.21,1.0224626,sec(0.21),sec(0.21)-1.0224626],_
[0.22,1.0246978,sec(0.22),sec(0.22)-1.0246978],_
[0.23,1.0270458,sec(0.23),sec(0.23)-1.0270458],_
[0.24,1.0295078,sec(0.24),sec(0.24)-1.0295078],_
[0.25,1.0320850,sec(0.25),sec(0.25)-1.0320850],_
[0.26,1.0347789,sec(0.26),sec(0.26)-1.0347789],_
[0.27,1.0375910,sec(0.27),sec(0.27)-1.0375910],_
[0.28,1.0405227,sec(0.28),sec(0.28)-1.0405227],_
[0.29,1.0435757,sec(0.29),sec(0.29)-1.0435757],_
[0.30,1.0467516,sec(0.30),sec(0.30)-1.0467516],_
[0.31,1.0500522,sec(0.31),sec(0.31)-1.0500522],_
[0.32,1.0534794,sec(0.32),sec(0.32)-1.0534794],_
[0.33,1.0570351,sec(0.33),sec(0.33)-1.0570351],_
[0.34,1.0607213,sec(0.34),sec(0.34)-1.0607213],_
[0.35,1.0645402,sec(0.35),sec(0.35)-1.0645402],_
[0.36,1.0684938,sec(0.36),sec(0.36)-1.0684938],_
[0.37,1.0725847,sec(0.37),sec(0.37)-1.0725847],_

[0.38,1.0768150,sec(0.38),sec(0.38)-1.0768150],_
[0.39,1.0811874,sec(0.39),sec(0.39)-1.0811874],_
[0.40,1.0857044,sec(0.40),sec(0.40)-1.0857044],_
[0.41,1.0903689,sec(0.41),sec(0.41)-1.0903689],_
[0.42,1.0951836,sec(0.42),sec(0.42)-1.0951836],_
[0.43,1.1001515,sec(0.43),sec(0.43)-1.1001515],_
[0.44,1.1052757,sec(0.44),sec(0.44)-1.1052757],_
[0.45,1.1105594,sec(0.45),sec(0.45)-1.1105594],_
[0.46,1.1160060,sec(0.46),sec(0.46)-1.1160060],_
[0.47,1.1216191,sec(0.47),sec(0.47)-1.1216191],_
[0.48,1.1274022,sec(0.48),sec(0.48)-1.1274022],_
[0.49,1.1333591,sec(0.49),sec(0.49)-1.1333591],_
[0.50,1.1394939,sec(0.50),sec(0.50)-1.1394939],_
[0.51,1.1458107,sec(0.51),sec(0.51)-1.1458107],_
[0.52,1.1523138,sec(0.52),sec(0.52)-1.1523138],_
[0.53,1.1590077,sec(0.53),sec(0.53)-1.1590077],_
[0.54,1.1658970,sec(0.54),sec(0.54)-1.1658970],_
[0.55,1.1729868,sec(0.55),sec(0.55)-1.1729868],_
[0.56,1.1802821,sec(0.56),sec(0.56)-1.1802821],_
[0.57,1.1877881,sec(0.57),sec(0.57)-1.1877881],_
[0.58,1.1955106,sec(0.58),sec(0.58)-1.1955106],_
[0.59,1.2034553,sec(0.59),sec(0.59)-1.2034553],_
[0.60,1.2116283,sec(0.60),sec(0.60)-1.2116283],_
[0.61,1.2200359,sec(0.61),sec(0.61)-1.2200359],_
[0.62,1.2286847,sec(0.62),sec(0.62)-1.2286847],_
[0.63,1.2375816,sec(0.63),sec(0.63)-1.2375816],_
[0.64,1.2467339,sec(0.64),sec(0.64)-1.2467339],_
[0.65,1.2561492,sec(0.65),sec(0.65)-1.2561492],_
[0.66,1.2658352,sec(0.66),sec(0.66)-1.2658352],_
[0.67,1.2758004,sec(0.67),sec(0.67)-1.2758004],_
[0.68,1.2860534,sec(0.68),sec(0.68)-1.2860534],_
[0.69,1.2966031,sec(0.69),sec(0.69)-1.2966031],_
[0.70,1.3074593,sec(0.70),sec(0.70)-1.3074593],_
[0.71,1.3186317,sec(0.71),sec(0.71)-1.3186317],_
[0.72,1.3301309,sec(0.72),sec(0.72)-1.3301309],_
[0.73,1.3419677,sec(0.73),sec(0.73)-1.3419677],_
[0.74,1.3541538,sec(0.74),sec(0.74)-1.3541538],_
[0.75,1.3667011,sec(0.75),sec(0.75)-1.3667011],_
[0.76,1.3796224,sec(0.76),sec(0.76)-1.3796224],_
[0.77,1.3929310,sec(0.77),sec(0.77)-1.3929310],_
[0.78,1.4066408,sec(0.78),sec(0.78)-1.4066408],_
[0.79,1.4207667,sec(0.79),sec(0.79)-1.4207667],_
[0.80,1.4353242,sec(0.80),sec(0.80)-1.4353242],_
[0.81,1.4503296,sec(0.81),sec(0.81)-1.4503296],_
[0.82,1.4658002,sec(0.82),sec(0.82)-1.4658002],_
[0.83,1.4817542,sec(0.83),sec(0.83)-1.4817542],_
[0.84,1.4982108,sec(0.84),sec(0.84)-1.4982108],_
[0.85,1.5151902,sec(0.85),sec(0.85)-1.5151902],_
[0.86,1.5327139,sec(0.86),sec(0.86)-1.5327139],_
[0.87,1.5508046,sec(0.87),sec(0.87)-1.5508046],_

[0.88,1.5694863,sec(0.88),sec(0.88)-1.5694863],_
[0.89,1.5887844,sec(0.89),sec(0.89)-1.5887844],_
[0.90,1.6087258,sec(0.90),sec(0.90)-1.6087258],_
[0.91,1.6293392,sec(0.91),sec(0.91)-1.6293392],_
[0.92,1.6506549,sec(0.92),sec(0.92)-1.6506549],_
[0.93,1.6727052,sec(0.93),sec(0.93)-1.6727052],_
[0.94,1.6955244,sec(0.94),sec(0.94)-1.6955244],_
[0.95,1.7191492,sec(0.95),sec(0.95)-1.7191492],_
[0.96,1.7436184,sec(0.96),sec(0.96)-1.7436184],_
[0.97,1.7689737,sec(0.97),sec(0.97)-1.7689737],_
[0.98,1.7952595,sec(0.98),sec(0.98)-1.7952595],_
[0.99,1.8225232,sec(0.99),sec(0.99)-1.8225232],_
[1.00,1.8508157,sec(1.00),sec(1.00)-1.8508157],_
[1.01,1.8801915,sec(1.01),sec(1.01)-1.8801915],_
[1.02,1.9107089,sec(1.02),sec(1.02)-1.9107089],_
[1.03,1.9424308,sec(1.03),sec(1.03)-1.9424308],_
[1.04,1.9754247,sec(1.04),sec(1.04)-1.9754247],_
[1.05,2.0097632,sec(1.05),sec(1.05)-2.0097632],_
[1.06,2.0455249,sec(1.06),sec(1.06)-2.0455249],_
[1.07,2.0827943,sec(1.07),sec(1.07)-2.0827943],_
[1.08,2.1216631,sec(1.08),sec(1.08)-2.1216631],_
[1.09,2.1622306,sec(1.09),sec(1.09)-2.1622306],_
[1.10,2.2046044,sec(1.10),sec(1.10)-2.2046044],_
[1.11,2.2489016,sec(1.11),sec(1.11)-2.2489016],_
[1.12,2.2952497,sec(1.12),sec(1.12)-2.2952497],_
[1.13,2.3437877,sec(1.13),sec(1.13)-2.3437877],_
[1.14,2.3946675,sec(1.14),sec(1.14)-2.3946675],_
[1.15,2.4480557,sec(1.15),sec(1.15)-2.4480557],_
[1.16,2.5041348,sec(1.16),sec(1.16)-2.5041348],_
[1.17,2.5631057,sec(1.17),sec(1.17)-2.5631057],_
[1.18,2.6251899,sec(1.18),sec(1.18)-2.6251899],_
[1.19,2.6906321,sec(1.19),sec(1.19)-2.6906321],_
[1.20,2.7597036,sec(1.20),sec(1.20)-2.7597036],_
[1.21,2.8327055,sec(1.21),sec(1.21)-2.8327055],_
[1.22,2.9099735,sec(1.22),sec(1.22)-2.9099735],_
[1.23,2.9918825,sec(1.23),sec(1.23)-2.9918825],_
[1.24,3.0788530,sec(1.24),sec(1.24)-3.0788530],_
[1.25,3.1713577,sec(1.25),sec(1.25)-3.1713577],_
[1.26,3.2699304,sec(1.26),sec(1.26)-3.2699304],_
[1.27,3.3751757,sec(1.27),sec(1.27)-3.3751757],_
[1.28,3.4877815,sec(1.28),sec(1.28)-3.4877815],_
[1.29,3.6085336,sec(1.29),sec(1.29)-3.6085336],_
[1.30,3.7383341,sec(1.30),sec(1.30)-3.7383341],_
[1.31,3.8782233,sec(1.31),sec(1.31)-3.8782233],_
[1.32,4.0294074,sec(1.32),sec(1.32)-4.0294074],_
[1.33,4.1932931,sec(1.33),sec(1.33)-4.1932931],_
[1.34,4.3715310,sec(1.34),sec(1.34)-4.3715310],_
[1.35,4.5660706,sec(1.35),sec(1.35)-4.5660706],_
[1.36,4.7792314,sec(1.36),sec(1.36)-4.7792314],_
[1.37,5.0137949,sec(1.37),sec(1.37)-5.0137949],_

[1.38,5.2731260,sec(1.38),sec(1.38)-5.2731260],_
[1.39,5.5613339,sec(1.39),sec(1.39)-5.5613339],_
[1.40,5.8834901,sec(1.40),sec(1.40)-5.8834901],_
[1.41,6.2459280,sec(1.41),sec(1.41)-6.2459280],_
[1.42,6.6566608,sec(1.42),sec(1.42)-6.6566608],_
[1.43,7.1259785,sec(1.43),sec(1.43)-7.1259785],_
[1.44,7.6673176,sec(1.44),sec(1.44)-7.6673176],_
[1.45,8.2985645,sec(1.45),sec(1.45)-8.2985645],_
[1.46,9.0440625,sec(1.46),sec(1.46)-9.0440625],_
[1.47,9.9378158,sec(1.47),sec(1.47)-9.9378158],_
[1.48,11.0288087,sec(1.48),sec(1.48)-11.0288087],_
[1.49,12.3902766,sec(1.49),sec(1.49)-12.3902766],_
[1.50,14.1368329,sec(1.50),sec(1.50)-14.1368329],_
[1.51,16.4584992,sec(1.51),sec(1.51)-16.4584992],_
[1.52,19.6949314,sec(1.52),sec(1.52)-19.6949314],_
[1.53,24.5188114,sec(1.53),sec(1.53)-24.5188114],_
[1.54,32.4765383,sec(1.54),sec(1.54)-32.4765383],_
[1.55,48.0888810,sec(1.55),sec(1.55)-48.0888810],_
[1.56,92.6258945,sec(1.56),sec(1.56)-92.6258945],_
[1.57,1255.7659897,sec(1.57),sec(1.57)-1255.7659897],_
[1.58,-108.6538055,sec(1.58),sec(1.58)-(-108.6538055)],_
[1.59,-52.0765718,sec(1.59),sec(1.59)-(-52.0765718)],_
[1.60,-34.2471356,sec(1.60),sec(1.60)-(-34.2471356)]]
--R
--R
--R   (1)
--R   [[0.01,1.00005,1.0000500020 83418059,0.2083418059 E -8],
--R    [0.02,1.0002,1.0002000333 387564351,0.3333875643 51 E -7],
--R    [0.03,1.0004502,1.0004501688 117850454,- 0.3118821495 46 E -7],
--R    [0.04,1.0008005,1.0008005336 805808191,0.3368058081 91 E -7],
--R    [0.05,1.0012513,1.0012513034 084612212,0.3408461221 2 E -8],
--R    [0.06,1.0018027,1.0018027039 585779448,0.3958577944 8 E -8],
--R    [0.07,1.002455,1.0024550120 706596665,0.1207065966 65 E -7],
--R    [0.08,1.0032086,1.0032085556 00535503,- 0.4439946449 7 E -7],
--R    [0.09,1.0040637,1.0040637139 232158779,0.1392321587 79 E -7],
--R    [0.1,1.0050209,1.0050209184 004554285,0.1840045542 85 E -7],
--R    [0.11,1.0060807,1.0060806529 138739295,- 0.4708612607 05 E -7],
--R    [0.12,1.0072435,1.0072434544 648665414,- 0.4553513345 86 E -7],
--R    [0.13,1.0085099,1.0085099138 426946141,0.1384269461 41 E -7],
--R    [0.14,1.0098807,1.0098806763 623134089,- 0.2363768659 11 E -7],
--R    [0.15,1.0113564,1.0113564426 736640909,0.4267366409 09 E -7],
--R    [0.16,1.012938,1.0129379696 44334881,- 0.3035566511 9 E -7],
--R    [0.17,1.0146261,1.0146260713 176810517,- 0.2868231894 83 E -7],
--R    [0.18,1.0164216,1.0164216199 486862747,0.1994868627 47 E -7],
--R    [0.19,1.0183255,1.0183255471 200494754,0.4712004947 54 E -7],
--R    [0.2,1.0203388,1.0203388449 411926898,0.4494119268 98 E -7],
--R    [0.21,1.0224626,1.0224625673 331073524,- 0.3266689264 76 E -7],
--R    [0.22,1.0246978,1.0246978314 021899569,0.3140218995 69 E -7],
--R    [0.23,1.0270458,1.0270458189 064641552,0.1890646415 52 E -7],
--R    [0.24,1.0295078,1.0295077778 178462266,- 0.2218215377 34 E -7],

--R    [0.25,1.032085,1.0320850239 843856444,0.2398438564 44 E -7],
--R    [0.26,1.0347789,1.0347789428 967034948,0.4289670349 48 E -7],
--R    [0.27,1.037591,1.0375909915 631601515,- 0.8436839848 51 E -8],
--R    [0.28,1.0405227,1.0405227004 986113757,0.4986113757 E -9],
--R    [0.29,1.0435757,1.0435756758 319605292,- 0.2416803947 08 E -7],
--R    [0.3,1.0467516,1.0467516015 380856009,0.1538085600 9 E -8],
--R    [0.31,1.0500522,1.0500522418 001151664,0.4180011516 64 E -7],
--R    [0.32,1.0534794,1.0534794435 08449282,0.4350844928 2 E -7],
--R    [0.33,1.0570351,1.0570351389 033719014,0.3890337190 14 E -7],
--R    [0.34,1.0607213,1.0607213483 685831203,0.4836858312 03 E -7],
--R    [0.35,1.0645402,1.0645401833 834950584,- 0.1661650494 16 E -7],
--R    [0.36,1.0684938,1.0684938496 426873472,0.4964268734 72 E -7],
--R    [0.37,1.0725847,1.0725846503 515101556,- 0.4964848984 44 E -7],
--R    [0.38,1.076815,1.0768149897 074578722,- 0.1029254212 78 E -7],
--R    [0.39,1.0811874,1.0811873765 776187103,- 0.2342238128 97 E -7],
--R    [0.4,1.0857044,1.0857044283 832387031,0.2838323870 31 E -7],
--R    [0.41,1.0903689,1.0903688752 032272686,- 0.2479677273 14 E -7],
--R    [0.42,1.0951836,1.0951835641 092806502,- 0.3589071934 98 E -7],
--R    [0.43,1.1001515,1.1001514637 462144293,- 0.3625378557 07 E -7],
--R    [0.44,1.1052757,1.1052756691 720828447,- 0.3082791715 53 E -7],
--R    [0.45,1.1105594,1.1105594069 737272884,0.6973727288 4 E -8],
--R    [0.46,1.116006,1.1160060406 745461642,0.4067454616 42 E -7],
--R    [0.47,1.1216191,1.1216190764 525210869,- 0.2354747891 32 E -7],
--R    [0.48,1.1274022,1.1274021691 878787428,- 0.3081212125 72 E -7],
--R    [0.49,1.1333591,1.1333591288 612230659,0.2886122306 59 E -7],
--R    [0.5,1.1394939,1.1394939273 245491223,0.2732454912 23 E -7],
--R    [0.51,1.1458107,1.1458107054 692597334,0.5469259733 4 E -8],
--R    [0.52,1.1523138,1.1523137808 171610842,- 0.1918283891 58 E -7],
--R    [0.53,1.1590077,1.1590076555 624283961,- 0.4443757160 39 E -7],
--R    [0.54,1.165897,1.1658970250 947227087,0.2509472270 87 E -7],
--R    [0.55,1.1729868,1.1729867870 360221145,- 0.1296397788 55 E -7],
--R    [0.56,1.1802821,1.1802820508 263244778,- 0.4917367552 22 E -7],
--R    [0.57,1.1877881,1.1877881478 962049114,0.4789620491 14 E -7],
--R    [0.58,1.1955106,1.1955106424 672935752,0.4246729357 52 E -7],
--R    [0.59,1.2034553,1.2034553430 251038492,0.4302510384 92 E -7],
--R    [0.6,1.2116283,1.2116283145 123167046,0.1451231670 46 E -7],
--R    [0.61,1.2200359,1.2200358912 946465932,- 0.8705353406 83 E -8],
--R    [0.62,1.2286847,1.2286846909 558135602,- 0.9044186439 82 E -8],
--R    [0.63,1.2375816,1.2375816289 829659823,0.2898296598 23 E -7],
--R    [0.64,1.2467339,1.2467339344 091835044,0.3440918350 44 E -7],
--R    [0.65,1.2561492,1.2561491664 854909887,- 0.3351450901 13 E -7],
--R    [0.66,1.2658352,1.2658352324 611882698,0.3246118826 98 E -7],
--R    [0.67,1.2758004,1.2758004065 583108419,0.6558310841 9 E -8],
--R    [0.68,1.2860534,1.2860533502 337547427,- 0.4976624525 73 E -7],
--R    [0.69,1.2966031,1.2966031338 311052265,0.3383110522 65 E -7],
--R    [0.7,1.3074593,1.3074592597 335938699,- 0.4026640613 01 E -7],
--R    [0.71,1.3186317,1.3186316871 399746265,- 0.1286002537 35 E -7],
--R    [0.72,1.3301309,1.3301308585 965713491,- 0.4140342865 09 E -7],
--R    [0.73,1.3419677,1.3419677284 314378096,0.2843143780 96 E -7],
--R    [0.74,1.3541538,1.3541537932 506339213,- 0.6749366078 7 E -8],

--R    [0.75,1.3667011,1.3667011246 722261352,0.2467222613 52 E -7],
--R    [0.76,1.3796224,1.3796224044 909559952,0.4490955995 2 E -8],
--R    [0.77,1.392931,1.3929309624 858048639,- 0.3751419513 61 E -7],
--R    [0.78,1.4066408,1.4066408171 041612211,0.1710416122 11 E -7],
--R    [0.79,1.4207667,1.4207667192 802507471,0.1928025074 71 E -7],
--R    [0.8,1.4353242,1.4353241996 722398005,- 0.3277601995 E -9],
--R    [0.81,1.4503296,1.4503296196 323374816,0.1963233748 16 E -7],
--R    [0.82,1.4658002,1.4658002262 577216995,0.2625772169 95 E -7],
--R    [0.83,1.4817542,1.4817542119 076845659,0.1190768456 59 E -7],
--R    [0.84,1.4982108,1.4982107786 145889242,- 0.2138541107 58 E -7],
--R    [0.85,1.5151902,1.5151902078 636927634,0.7863692763 37 E -8],
--R    [0.86,1.5327139,1.5327139362 703728857,0.3627037288 57 E -7],
--R    [0.87,1.5508046,1.5508046377 436210518,0.3774362105 18 E -7],
--R    [0.88,1.5694863,1.5694863127 928890316,0.1279288903 16 E -7],
--R    [0.89,1.5887844,1.5887843857 125782891,- 0.1428742171 09 E -7],
--R    [0.9,1.6087258,1.6087258104 66049513,0.1046604951 3 E -7],
--R    [0.91,1.6293392,1.6293391861 905347268,- 0.1380946527 32 E -7],
--R    [0.92,1.6506549,1.6506548833 576031068,- 0.1664239689 32 E -7],
--R    [0.93,1.6727052,1.6727051817 530083925,- 0.1824699160 75 E -7],
--R    [0.94,1.6955244,1.6955244215 873528318,0.2158735283 18 E -7],
--R    [0.95,1.7191492,1.7191491692 180088055,- 0.3078199119 45 E -7],
--R    [0.96,1.7436184,1.7436183991 566481012,- 0.8433518988 E -9],
--R    [0.97,1.7689737,1.7689736942 596852048,- 0.5740314795 2 E -8],
--R    [0.98,1.7952595,1.7952594662 558616387,- 0.3374413836 13 E -7],
--R    [0.99,1.8225232,1.8225231990 619311821,- 0.9380688178 8 E -9],
--R    [1.0,1.8508157,1.8508157176 809256179,0.1768092561 79 E -7],
--R    [1.01,1.8801915,1.8801914858 76130416,- 0.1412386958 4 E -7],
--R    [1.02,1.9107089,1.9107089362 776886454,0.3627768864 54 E -7],
--R    [1.03,1.9424308,1.9424308371 197244332,0.3711972443 32 E -7],
--R    [1.04,1.9754247,1.9754247004 385756762,0.4385756762 E -9],
--R    [1.05,2.0097632,2.0097632373 047619814,0.3730476198 15 E -7],
--R    [1.06,2.0455249,2.0455248665 340933506,- 0.3346590664 94 E -7],
--R    [1.07,2.0827943,2.0827942843 529550117,- 0.1564704498 83 E -7],
--R    [1.08,2.1216631,2.1216631037 112423848,0.3711242384 8 E -8],
--R    [1.09,2.1622306,2.1622305733 829374458,- 0.2661706255 42 E -7],
--R    [1.1,2.2046044,2.2046043887 17359034,- 0.1128264096 6 E -7],
--R    [1.11,2.2489016,2.2489016079 636949635,0.7963694963 5 E -8],
--R    [1.12,2.2952497,2.2952496905 621863932,- 0.9437813606 7 E -8],
--R    [1.13,2.3437877,2.3437876767 70567607,- 0.2322943239 29 E -7],
--R    [1.14,2.3946675,2.3946675315 911689408,0.3159116894 08 E -7],
--R    [1.15,2.4480557,2.4480556803 301802962,- 0.1966981970 38 E -7],
--R    [1.16,2.5041348,2.5041347684 432143166,- 0.3155678568 34 E -7],
--R    [1.17,2.5631057,2.5631056848 391647153,- 0.1516083528 47 E -7],
--R    [1.18,2.6251899,2.6251898958 332672918,- 0.4166732708 2 E -8],
--R    [1.19,2.6906321,2.6906321468 544274307,0.4685442743 07 E -7],
--R    [1.2,2.7597036,2.7597036013 324064569,0.1332406457 E -8],
--R    [1.21,2.8327055,2.8327055015 843215452,0.1584321545 E -8],
--R    [1.22,2.9099735,2.9099734558 632119939,- 0.4413678800 61 E -7],
--R    [1.23,2.9918825,2.9918824801 830430638,- 0.1981695693 62 E -7],
--R    [1.24,3.078853,3.0788529546 387066657,- 0.4536129333 43 E -7],

--R    [1.25,3.1713577,3.1713576937 701033609,- 0.6229896639 1 E -8],
--R    [1.26,3.2699304,3.2699303818 839873852,- 0.1811601261 48 E -7],
--R    [1.27,3.3751757,3.3751756909 804379951,- 0.9019562004 9 E -8],
--R    [1.28,3.4877815,3.4877814863 175858326,- 0.1368241416 7 E -7],
--R    [1.29,3.6085336,3.6085336400 439333502,0.4004393335 02 E -7],
--R    [1.3,3.7383341,3.7383341270 754411719,0.2707544117 19 E -7],
--R    [1.31,3.8782233,3.8782232842 002831965,- 0.1579971680 35 E -7],
--R    [1.32,4.0294074,4.0294073944 135738582,- 0.5586426141 8 E -8],
--R    [1.33,4.1932931,4.1932931445 375416679,0.4453754166 79 E -7],
--R    [1.34,4.371531,4.3715310407 788541477,0.4077885414 77 E -7],
--R    [1.35,4.5660706,4.5660706221 959586487,0.2219595864 9 E -7],
--R    [1.36,4.7792314,4.7792313898 566530439,- 0.1014334695 6 E -7],
--R    [1.37,5.0137949,5.0137949303 632701112,0.3036327011 12 E -7],
--R    [1.38,5.273126,5.2731260096 064537537,0.9606453753 8 E -8],
--R    [1.39,5.5613339,5.5613338533 248644648,- 0.4667513553 52 E -7],
--R    [1.4,5.8834901,5.8834900848 27344827,- 0.1517265517 3 E -7],
--R    [1.41,6.245928,6.2459279846 284984955,- 0.1537150150 4 E -7],
--R    [1.42,6.6566608,6.6566608218 158868243,0.2181588682 4 E -7],
--R    [1.43,7.1259785,7.1259784562 869696006,- 0.4371303039 94 E -7],
--R    [1.44,7.6673176,7.6673176194 346817373,0.1943468173 7 E -7],
--R    [1.45,8.2985645,8.2985644666 089360285,- 0.3339106397 1 E -7],
--R    [1.46,9.0440625,9.0440625062 951398291,0.6295139829 E -8],
--R    [1.47,9.9378158,9.9378157688 028373544,- 0.3119716264 6 E -7],
--R    [1.48,11.0288087,11.0288086918 92599526,- 0.8107400473 9 E -8],
--R    [1.49,12.3902766,12.3902765961 36436494,- 0.3863563506 E -8],
--R    [1.5,14.1368329,14.1368329029 69903082,0.2969903082 E -8],
--R    [1.51,16.4584992,16.4584992338 68991507,0.3386899150 7 E -7],
--R    [1.52,19.6949314,19.6949314465 35659932,0.4653565993 2 E -7],
--R    [1.53,24.5188114,24.5188114348 30172969,0.3483017296 9 E -7],
--R    [1.54,32.4765383,32.4765382933 55461787,- 0.6644538213 E -8],
--R    [1.55,48.088881,48.0888810173 88679831,0.1738867983 E -7],
--R    [1.56,92.6258945,92.6258945325 36624847,0.3253662485 E -7],
--R    [1.57,1255.7659897,1255.7659896641 100942,- 0.358899058 E -7],
--R    [1.58,- 108.6538055,- 108.6538054739 3097269,0.2606902731 E -7],
--R    [1.59,- 52.0765718,- 52.0765717826 07291365,0.1739270863 E -7],
--R    [1.6,- 34.2471356,- 34.2471356100 18689204,- 0.100186892 E -7]]
--R                                                      Type: List(List(Float))
--E 1

———-

In the following table there are 4 columns. The first column is the argument of csc(x), ranging from 0.01 to 1.60. The second column is the reference value of csc from the book Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp186-188

— * —

--S 2 of 2
[[0.01,100.0016667,csc(0.01),csc(0.01)-100.0016667],_
[0.02,50.0033335,csc(0.02),csc(0.02)-50.0033335],_

[0.03,33.3383339,csc(0.03),csc(0.03)-33.3383339],_
[0.04,25.0066679,csc(0.04),csc(0.04)-25.0066679],_
[0.05,20.0083358,csc(0.05),csc(0.05)-20.0083358],_
[0.06,16.6766709,csc(0.06),csc(0.06)-16.6766709],_
[0.07,14.2973876,csc(0.07),csc(0.07)-14.2973876],_
[0.08,12.5133432,csc(0.08),csc(0.08)-12.5133432],_
[0.09,11.1261253,csc(0.09),csc(0.09)-11.1261253],_
[0.10,10.0166861,csc(0.10),csc(0.10)-10.0166861],_
[0.11,9.1092683,csc(0.11),csc(0.11)-9.1092683],_
[0.12,8.3533670,csc(0.12),csc(0.12)-8.3533670],_
[0.13,7.7140172,csc(0.13),csc(0.13)-7.7140172],_
[0.14,7.1662439,csc(0.14),csc(0.14)-7.1662439],_
[0.15,6.6917324,csc(0.15),csc(0.15)-6.6917324],_
[0.16,6.2767465,csc(0.16),csc(0.16)-6.2767465],_
[0.17,5.9107821,csc(0.17),csc(0.17)-5.9107821],_
[0.18,5.5856693,csc(0.18),csc(0.18)-5.5856693],_
[0.19,5.2949584,csc(0.19),csc(0.19)-5.2949584],_
[0.20,5.0334895,csc(0.20),csc(0.20)-5.0334895],_
[0.21,4.7970857,csc(0.21),csc(0.21)-4.7970857],_
[0.22,4.5823293,csc(0.22),csc(0.22)-4.5823293],_
[0.23,4.3863973,csc(0.23),csc(0.23)-4.3863973],_
[0.24,4.2069371,csc(0.24),csc(0.24)-4.2069371],_
[0.25,4.0419725,csc(0.25),csc(0.25)-4.0419725],_
[0.26,3.8898314,csc(0.26),csc(0.26)-3.8898314],_
[0.27,3.7490894,csc(0.27),csc(0.27)-3.7490894],_
[0.28,3.6185256,csc(0.28),csc(0.28)-3.6185256],_
[0.29,3.4970877,csc(0.29),csc(0.29)-3.4970877],_
[0.30,3.3838634,csc(0.30),csc(0.30)-3.3838634],_
[0.31,3.2780583,csc(0.31),csc(0.31)-3.2780583],_
[0.32,3.1789774,csc(0.32),csc(0.32)-3.1789774],_
[0.33,3.0860099,csc(0.33),csc(0.33)-3.0860099],_
[0.34,2.9986168,csc(0.34),csc(0.34)-2.9986168],_
[0.35,2.9163208,csc(0.35),csc(0.35)-2.9163208],_
[0.36,2.8386975,csc(0.36),csc(0.36)-2.8386975],_
[0.37,2.7653687,csc(0.37),csc(0.37)-2.7653687],_
[0.38,2.6959957,csc(0.38),csc(0.38)-2.6959957],_
[0.39,2.6302748,csc(0.39),csc(0.39)-2.6302748],_
[0.40,2.5679325,csc(0.40),csc(0.40)-2.5679325],_
[0.41,2.5087220,csc(0.41),csc(0.41)-2.5087220],_
[0.42,2.4524203,csc(0.42),csc(0.42)-2.4524203],_
[0.43,2.3988248,csc(0.43),csc(0.43)-2.3988248],_
[0.44,2.3477515,csc(0.44),csc(0.44)-2.3477515],_
[0.45,2.2990327,csc(0.45),csc(0.45)-2.2990327],_
[0.46,2.2525155,csc(0.46),csc(0.46)-2.2525155],_
[0.47,2.2080598,csc(0.47),csc(0.47)-2.2080598],_
[0.48,2.1655372,csc(0.48),csc(0.48)-2.1655372],_
[0.49,2.1248300,csc(0.49),csc(0.49)-2.1248300],_
[0.50,2.0858296,csc(0.50),csc(0.50)-2.0858296],_
[0.51,2.0484363,csc(0.51),csc(0.51)-2.0484363],_
[0.52,2.0125578,csc(0.52),csc(0.52)-2.0125578],_

[0.53,1.9781089,csc(0.53),csc(0.53)-1.9781089],_
[0.54,1.9450107,csc(0.54),csc(0.54)-1.9450107],_
[0.55,1.9131900,csc(0.55),csc(0.55)-1.9131900],_
[0.56,1.8825790,csc(0.56),csc(0.56)-1.8825790],_
[0.57,1.8531145,csc(0.57),csc(0.57)-1.8531145],_
[0.58,1.8247378,csc(0.58),csc(0.58)-1.8247378],_
[0.59,1.7973941,csc(0.59),csc(0.59)-1.7973941],_
[0.60,1.7710322,csc(0.60),csc(0.60)-1.7710322],_
[0.61,1.7456045,csc(0.61),csc(0.61)-1.7456045],_
[0.62,1.7210662,csc(0.62),csc(0.62)-1.7210662],_
[0.63,1.6973757,csc(0.63),csc(0.63)-1.6973757],_
[0.64,1.6744937,csc(0.64),csc(0.64)-1.6744937],_
[0.65,1.6523834,csc(0.65),csc(0.65)-1.6523834],_
[0.66,1.6310105,csc(0.66),csc(0.66)-1.6310105],_
[0.67,1.6103423,csc(0.67),csc(0.67)-1.6103423],_
[0.68,1.5903484,csc(0.68),csc(0.68)-1.5903484],_
[0.69,1.5710001,csc(0.69),csc(0.69)-1.5710001],_
[0.70,1.5522703,csc(0.70),csc(0.70)-1.5522703],_
[0.71,1.5341335,csc(0.71),csc(0.71)-1.5341335],_
[0.72,1.5165654,csc(0.72),csc(0.72)-1.5165654],_
[0.73,1.4995435,csc(0.73),csc(0.73)-1.4995435],_
[0.74,1.4830460,csc(0.74),csc(0.74)-1.4830460],_
[0.75,1.4670527,csc(0.75),csc(0.75)-1.4670527],_
[0.76,1.4515443,csc(0.76),csc(0.76)-1.4515443],_
[0.77,1.4365025,csc(0.77),csc(0.77)-1.4365025],_
[0.78,1.4219099,csc(0.78),csc(0.78)-1.4219099],_
[0.79,1.4077503,csc(0.79),csc(0.79)-1.4077503],_
[0.80,1.3940078,csc(0.80),csc(0.80)-1.3940078],_
[0.81,1.3806678,csc(0.81),csc(0.81)-1.3806678],_
[0.82,1.3677162,csc(0.82),csc(0.82)-1.3677162],_
[0.83,1.3551396,csc(0.83),csc(0.83)-1.3551396],_
[0.84,1.3429252,csc(0.84),csc(0.84)-1.3429252],_
[0.85,1.3310609,csc(0.85),csc(0.85)-1.3310609],_
[0.86,1.3195353,csc(0.86),csc(0.86)-1.3195353],_
[0.87,1.3083372,csc(0.87),csc(0.87)-1.3083372],_
[0.88,1.2974563,csc(0.88),csc(0.88)-1.2974563],_
[0.89,1.2868825,csc(0.89),csc(0.89)-1.2868825],_
[0.90,1.2766062,csc(0.90),csc(0.90)-1.2766062],_
[0.91,1.2666184,csc(0.91),csc(0.91)-1.2666184],_
[0.92,1.2569105,csc(0.92),csc(0.92)-1.2569105],_
[0.93,1.2474740,csc(0.93),csc(0.93)-1.2474740],_
[0.94,1.2383010,csc(0.94),csc(0.94)-1.2383010],_
[0.95,1.2293840,csc(0.95),csc(0.95)-1.2293840],_
[0.96,1.2207157,csc(0.96),csc(0.96)-1.2207157],_
[0.97,1.2122891,csc(0.97),csc(0.97)-1.2122891],_
[0.98,1.2040977,csc(0.98),csc(0.98)-1.2040977],_
[0.99,1.1961351,csc(0.99),csc(0.99)-1.1961351],_
[1.00,1.1883951,csc(1.00),csc(1.00)-1.1883951],_
[1.01,1.1808720,csc(1.01),csc(1.01)-1.1808720],_
[1.02,1.1735601,csc(1.02),csc(1.02)-1.1735601],_

[1.03,1.1664542,csc(1.03),csc(1.03)-1.1664542],_
[1.04,1.1595490,csc(1.04),csc(1.04)-1.1595490],_
[1.05,1.1528398,csc(1.05),csc(1.05)-1.1528398],_
[1.06,1.1463217,csc(1.06),csc(1.06)-1.1463217],_
[1.07,1.1399902,csc(1.07),csc(1.07)-1.1399902],_
[1.08,1.1338411,csc(1.08),csc(1.08)-1.1338411],_
[1.09,1.1278701,csc(1.09),csc(1.09)-1.1278701],_
[1.10,1.1220733,csc(1.10),csc(1.10)-1.1220733],_
[1.11,1.1164469,csc(1.11),csc(1.11)-1.1164469],_
[1.12,1.1109871,csc(1.12),csc(1.12)-1.1109871],_
[1.13,1.1056905,csc(1.13),csc(1.13)-1.1056905],_
[1.14,1.1005537,csc(1.14),csc(1.14)-1.1005537],_
[1.15,1.0955735,csc(1.15),csc(1.15)-1.0955735],_
[1.16,1.0907467,csc(1.16),csc(1.16)-1.0907467],_
[1.17,1.0860704,csc(1.17),csc(1.17)-1.0860704],_
[1.18,1.0815417,csc(1.18),csc(1.18)-1.0815417],_
[1.19,1.0771579,csc(1.19),csc(1.19)-1.0771579],_
[1.20,1.0729164,csc(1.20),csc(1.20)-1.0729164],_
[1.21,1.0688146,csc(1.21),csc(1.21)-1.0688146],_
[1.22,1.0648501,csc(1.22),csc(1.22)-1.0648501],_
[1.23,1.0610206,csc(1.23),csc(1.23)-1.0610206],_
[1.24,1.0573239,csc(1.24),csc(1.24)-1.0573239],_
[1.25,1.0537579,csc(1.25),csc(1.25)-1.0537579],_
[1.26,1.0503205,csc(1.26),csc(1.26)-1.0503205],_
[1.27,1.0470098,csc(1.27),csc(1.27)-1.0470098],_
[1.28,1.0438241,csc(1.28),csc(1.28)-1.0438241],_
[1.29,1.0407614,csc(1.29),csc(1.29)-1.0407614],_
[1.30,1.0378200,csc(1.30),csc(1.30)-1.0378200],_
[1.31,1.0349985,csc(1.31),csc(1.31)-1.0349985],_
[1.32,1.0322953,csc(1.32),csc(1.32)-1.0322953],_
[1.33,1.0297088,csc(1.33),csc(1.33)-1.0297088],_
[1.34,1.0272377,csc(1.34),csc(1.34)-1.0272377],_
[1.35,1.0248807,csc(1.35),csc(1.35)-1.0248807],_
[1.36,1.0226365,csc(1.36),csc(1.36)-1.0226365],_
[1.37,1.0205039,csc(1.37),csc(1.37)-1.0205039],_
[1.38,1.0184818,csc(1.38),csc(1.38)-1.0184818],_
[1.39,1.0165693,csc(1.39),csc(1.39)-1.0165693],_
[1.40,1.0147651,csc(1.40),csc(1.40)-1.0147651],_
[1.41,1.0130685,csc(1.41),csc(1.41)-1.0130685],_
[1.42,1.0114785,csc(1.42),csc(1.42)-1.0114785],_
[1.43,1.0099943,csc(1.43),csc(1.43)-1.0099943],_
[1.44,1.0086152,csc(1.44),csc(1.44)-1.0086152],_
[1.45,1.0073405,csc(1.45),csc(1.45)-1.0073405],_
[1.46,1.0061695,csc(1.46),csc(1.46)-1.0061695],_
[1.47,1.0051015,csc(1.47),csc(1.47)-1.0051015],_
[1.48,1.0041362,csc(1.48),csc(1.48)-1.0041362],_
[1.49,1.0032729,csc(1.49),csc(1.49)-1.0032729],_
[1.50,1.0025113,csc(1.50),csc(1.50)-1.0025113],_
[1.51,1.0018509,csc(1.51),csc(1.51)-1.0018509],_
[1.52,1.0012915,csc(1.52),csc(1.52)-1.0012915],_

[1.53,1.0008327,csc(1.53),csc(1.53)-1.0008327],_
[1.54,1.0004744,csc(1.54),csc(1.54)-1.0004744],_
[1.55,1.0002163,csc(1.55),csc(1.55)-1.0002163],_
[1.56,1.0000583,csc(1.56),csc(1.56)-1.0000583],_
[1.57,1.0000003,csc(1.57),csc(1.57)-1.0000003],_
[1.58,1.0000424,csc(1.58),csc(1.58)-1.0000424],_
[1.59,1.0001844,csc(1.59),csc(1.59)-1.0001844],_
[1.60,1.0004266,csc(1.60),csc(1.60)-1.0004266]]
--R
--R
--R   (2)
--R   [[0.01,100.0016667,100.0016666861 1131614,- 0.1388868386 E -7],
--R    [0.02,50.0033335,50.0033334888 95450004,- 0.1110455 E -7],
--R    [0.03,33.3383339,33.3383338583 83159355,- 0.4161684064 5 E -7],
--R    [0.04,25.0066679,25.0066679113 21092611,0.1132109261 E -7],
--R    [0.05,20.0083358,20.0083357645 29760655,- 0.3547023934 5 E -7],
--R    [0.06,16.6766709,16.6766708682 61540425,- 0.3173845957 5 E -7],
--R    [0.07,14.2973876,14.2973876252 73006648,0.2527300664 8 E -7],
--R    [0.08,12.5133432,12.5133432956 11602375,0.9561160237 45 E -7],
--R    [0.09,11.1261253,11.1261252982 27770129,- 0.1772229871 E -8],
--R    [0.1,10.0166861,10.0166861316 34776649,0.3163477664 9 E -7],
--R    [0.11,9.1092683,9.1092683378 58666259,0.3785866625 9 E -7],
--R    [0.12,8.353367,8.3533669844 258284979,- 0.1557417150 2 E -7],
--R    [0.13,7.7140172,7.7140171546 756812171,- 0.4532431878 29 E -7],
--R    [0.14,7.1662439,7.1662439422 359760119,0.4223597601 19 E -7],
--R    [0.15,6.6917324,6.6917324477 182351442,0.4771823514 42 E -7],
--R    [0.16,6.2767465,6.2767465266 620801848,0.2666208018 5 E -7],
--R    [0.17,5.9107821,5.9107820970 378013996,- 0.29621986 E -8],
--R    [0.18,5.5856693,5.5856693442 568113649,0.4425681136 49 E -7],
--R    [0.19,5.2949584,5.2949584403 976760687,0.4039767606 87 E -7],
--R    [0.2,5.0334895,5.0334895476 723442024,0.4767234420 24 E -7],
--R    [0.21,4.7970857,4.7970856780 525825143,- 0.2194741748 6 E -7],
--R    [0.22,4.5823293,4.5823293184 602630424,0.1846026304 2 E -7],
--R    [0.23,4.3863973,4.3863973276 543190295,0.2765431903 E -7],
--R    [0.24,4.2069371,4.2069371089 029182611,0.8902918261 1 E -8],
--R    [0.25,4.0419725,4.0419725012 210710728,0.1221071073 E -8],
--R    [0.26,3.8898314,3.8898313880 215197583,- 0.1197848024 2 E -7],
--R    [0.27,3.7490894,3.7490893927 385091643,- 0.7261490835 7 E -8],
--R    [0.28,3.6185256,3.6185256396 812993389,0.3968129933 89 E -7],
--R    [0.29,3.4970877,3.4970876678 206681256,- 0.3217933187 44 E -7],
--R    [0.3,3.3838634,3.3838633618 241225849,- 0.3817587741 51 E -7],
--R    [0.31,3.2780583,3.2780583157 998724616,0.1579987246 16 E -7],
--R    [0.32,3.1789774,3.1789774413 44609289,0.4134460928 89 E -7],
--R    [0.33,3.0860099,3.0860099195 883096277,0.1958830962 77 E -7],
--R    [0.34,2.9986168,2.9986168087 661743229,0.8766174322 8 E -8],
--R    [0.35,2.9163208,2.9163207762 123651255,- 0.2378763487 45 E -7],
--R    [0.36,2.8386975,2.8386975416 936122006,0.4169361220 06 E -7],
--R    [0.37,2.7653687,2.7653687083 157807533,0.8315780753 3 E -8],
--R    [0.38,2.6959957,2.6959957253 979436817,0.2539794368 17 E -7],
--R    [0.39,2.6302748,2.6302747801 40398548,- 0.1985960145 2 E -7],

--R    [0.4,2.5679325,2.5679324555 477830703,- 0.4445221692 97 E -7],
--R    [0.41,2.508722,2.5087220237 8334365,0.2378334365 E -7],
--R    [0.42,2.4524203,2.4524202690 492617941,- 0.3095073820 59 E -7],
--R    [0.43,2.3988248,2.3988247537 912204017,- 0.4620877959 83 E -7],
--R    [0.44,2.3477515,2.3477514576 984533152,- 0.4230154668 48 E -7],
--R    [0.45,2.2990327,2.2990327315 089707901,0.3150897079 01 E -7],
--R    [0.46,2.2525155,2.2525155177 149280284,0.1771492802 84 E -7],
--R    [0.47,2.2080598,2.2080597984 171557468,- 0.1582844253 E -8],
--R    [0.48,2.1655372,2.1655372372 03038964,0.3720303896 4 E -7],
--R    [0.49,2.12483,2.1248299873 30230062,- 0.1266976993 8 E -7],
--R    [0.5,2.0858296,2.0858296429 334881858,0.4293348818 58 E -7],
--R    [0.51,2.0484363,2.0484363136 241303362,0.1362413033 6 E -7],
--R    [0.52,2.0125578,2.0125578058 716625444,0.5871662544 4 E -8],
--R    [0.53,1.9781089,1.9781088970 643983743,- 0.2935601625 7 E -8],
--R    [0.54,1.9450107,1.9450106902 35237839,- 0.9764762161 01 E -8],
--R    [0.55,1.91319,1.9131900391 862495448,0.3918624954 48 E -7],
--R    [0.56,1.882579,1.8825790352 123253874,0.3521232538 73 E -7],
--R    [0.57,1.8531145,1.8531145478 592311512,0.4785923115 12 E -7],
--R    [0.58,1.8247378,1.8247378131 947842124,0.1319478421 24 E -7],
--R    [0.59,1.7973941,1.7973940639 561336125,- 0.3604386638 75 E -7],
--R    [0.6,1.7710322,1.7710321966 877253734,- 0.3312274626 6 E -8],
--R    [0.61,1.7456045,1.7456044716 252507363,- 0.2837474926 37 E -7],
--R    [0.62,1.7210662,1.7210662416 285829803,0.4162858298 03 E -7],
--R    [0.63,1.6973757,1.6973757069 361725968,0.6936172596 8 E -8],
--R    [0.64,1.6744937,1.6744936929 168164811,- 0.7083183518 9 E -8],
--R    [0.65,1.6523834,1.6523834483 423011016,0.4834230110 16 E -7],
--R    [0.66,1.6310105,1.6310104620 046062096,- 0.3799539379 04 E -7],
--R    [0.67,1.6103423,1.6103422957 612188444,- 0.4238781155 6 E -8],
--R    [0.68,1.5903484,1.5903484323 175770922,0.3231757709 22 E -7],
--R    [0.69,1.5710001,1.5710001362 517238398,0.3625172383 98 E -7],
--R    [0.7,1.5522703,1.5522703269 57103912,0.2695710391 2 E -7],
--R    [0.71,1.5341335,1.5341334623 286338699,- 0.3767136613 01 E -7],
--R    [0.72,1.5165654,1.5165654321 477203357,0.3214772033 57 E -7],
--R    [0.73,1.4995435,1.4995434602 363547077,- 0.3976364529 23 E -7],
--R    [0.74,1.483046,1.4830460145 509444868,0.1455094448 68 E -7],
--R    [0.75,1.4670527,1.4670527244 75010117,0.2447501011 7 E -7],
--R    [0.76,1.4515443,1.4515443046 478685727,0.4647868572 7 E -8],
--R    [0.77,1.4365025,1.4365024847 353014963,- 0.1526469850 37 E -7],
--R    [0.78,1.4219099,1.4219099446 09135172,0.4460913517 2 E -7],
--R    [0.79,1.4077503,1.4077502544 566480148,- 0.4554335198 52 E -7],
--R    [0.8,1.3940078,1.3940078193 886361745,0.1938863617 45 E -7],
--R    [0.81,1.3806678,1.3806678281 575591498,0.2815755914 98 E -7],
--R    [0.82,1.3677162,1.3677162056 35104192,0.5635104192 E -8],
--R    [0.83,1.3551396,1.3551395687 323139549,- 0.3126768604 51 E -7],
--R    [0.84,1.3429252,1.3429251854 756057525,- 0.1452439424 75 E -7],
--R    [0.85,1.3310609,1.3310609369 789990246,0.3697899902 46 E -7],
--R    [0.86,1.3195353,1.3195352820 770317831,- 0.1792296821 69 E -7],
--R    [0.87,1.3083372,1.3083372244 045115315,0.2440451153 15 E -7],
--R    [0.88,1.2974563,1.2974562817 286954688,- 0.1827130453 12 E -7],
--R    [0.89,1.2868825,1.2868824573 569776297,- 0.4264302237 03 E -7],

--R    [0.9,1.2766062,1.2766062134 58895496,0.1345889549 6 E -7],
--R    [0.91,1.2666184,1.2666184461 554476329,0.4615544763 29 E -7],
--R    [0.92,1.2569105,1.2569104622 415061901,- 0.3775849380 99 E -7],
--R    [0.93,1.247474,1.2474739574 186627875,- 0.4258133721 25 E -7],
--R    [0.94,1.238301,1.2383009959 262950556,- 0.4073704944 4 E -8],
--R    [0.95,1.229384,1.2293839914 681003518,- 0.8531899648 15 E -8],
--R    [0.96,1.2207157,1.2207156893 399160175,- 0.1066008398 25 E -7],
--R    [0.97,1.2122891,1.2122891496 724233695,0.4967242336 95 E -7],
--R    [0.98,1.2040977,1.2040977317 093965936,0.3170939659 36 E -7],
--R    [0.99,1.1961351,1.1961350790 485799284,- 0.2095142007 16 E -7],
--R    [1.0,1.1883951,1.1883951057 781212163,0.5778121216 3 E -8],
--R    [1.01,1.180872,1.1808719834 468142375,- 0.1655318576 25 E -7],
--R    [1.02,1.1735601,1.1735601288 11257282,0.2881125728 2 E -7],
--R    [1.03,1.1664542,1.1664541923 074667313,- 0.7692533268 72 E -8],
--R    [1.04,1.159549,1.1595490471 9853279,0.4719853279 E -7],
--R    [1.05,1.1528398,1.1528397793 536064181,- 0.2064639358 19 E -7],
--R    [1.06,1.1463217,1.1463216776 16894679,- 0.2238310532 1 E -7],
--R    [1.07,1.1399902,1.1399902247 284454927,0.2472844549 27 E -7],
--R    [1.08,1.1338411,1.1338410887 613485139,- 0.1123865148 61 E -7],
--R    [1.09,1.1278701,1.1278701150 42590264,0.1504259026 4 E -7],
--R    [1.1,1.1220733,1.1220733185 272000494,0.1852720004 94 E -7],
--R    [1.11,1.1164469,1.1164468765 975278264,- 0.2340247217 36 E -7],
--R    [1.12,1.1109871,1.1109871222 615233658,0.2226152336 58 E -7],
--R    [1.13,1.1056905,1.1056905377 257534608,0.3772575346 08 E -7],
--R    [1.14,1.1005537,1.1005537483 206146725,0.4832061467 25 E -7],
--R    [1.15,1.0955735,1.0955735167 567859913,0.1675678599 13 E -7],
--R    [1.16,1.0907467,1.0907467376 934304007,0.3769343040 07 E -7],
--R    [1.17,1.0860704,1.0860704326 000071521,0.3260000715 21 E -7],
--R    [1.18,1.0815417,1.0815417448 948071115,0.4489480711 15 E -7],
--R    [1.19,1.0771579,1.0771579353 444804665,0.3534448046 65 E -7],
--R    [1.2,1.0729164,1.0729163777 098972287,- 0.2229010277 13 E -7],
--R    [1.21,1.0688146,1.0688145546 246734829,- 0.4537532651 71 E -7],
--R    [1.22,1.0648501,1.0648500536 936167054,- 0.4630638329 46 E -7],
--R    [1.23,1.0610206,1.0610205637 991976338,- 0.3620080236 62 E -7],
--R    [1.24,1.0573239,1.0573238716 04949513,- 0.2839505048 7 E -7],
--R    [1.25,1.0537579,1.0537578582 454329877,- 0.4175456701 23 E -7],
--R    [1.26,1.0503205,1.0503204961 930909767,- 0.3806909023 3 E -8],
--R    [1.27,1.0470098,1.0470098462 929566457,0.4629295664 57 E -7],
--R    [1.28,1.0438241,1.0438240549 567728718,- 0.4504322712 82 E -7],
--R    [1.29,1.0407614,1.0407613515 086368049,- 0.4849136319 51 E -7],
--R    [1.3,1.03782,1.0378200456 748014427,0.4567480144 27 E -7],
--R    [1.31,1.0349985,1.0349985252 107504451,0.2521075044 51 E -7],
--R    [1.32,1.0322953,1.0322952536 591153897,- 0.4634088461 03 E -7],
--R    [1.33,1.0297088,1.0297087682 324287489,- 0.3176757125 11 E -7],
--R    [1.34,1.0272377,1.0272376778 151033218,- 0.2218489667 82 E -7],
--R    [1.35,1.0248807,1.0248806610 794017372,- 0.3892059826 28 E -7],
--R    [1.36,1.0226365,1.0226364647 10509886,- 0.3528949011 4 E -7],
--R    [1.37,1.0205039,1.0205039017 361575009,0.1736157500 9 E -8],
--R    [1.38,1.0184818,1.0184818499 565392157,0.4995653921 57 E -7],
--R    [1.39,1.0165693,1.0165692504 705818114,- 0.4952941818 86 E -7],

--R    [1.4,1.0147651,1.0147651062 948794009,0.6294879400 9 E -8],
--R    [1.41,1.0130685,1.0130684810 718793105,- 0.1892812068 95 E -7],
--R    [1.42,1.0114785,1.0114784978 641485933,- 0.2135851406 7 E -8],
--R    [1.43,1.0099943,1.0099943380 317855887,0.3803178558 87 E -7],
--R    [1.44,1.0086152,1.0086152401 902637594,0.4019026375 94 E -7],
--R    [1.45,1.0073405,1.0073404992 46207189,- 0.753792811 E -9],
--R    [1.46,1.0061695,1.0061694655 087995079,- 0.3449120049 21 E -7],
--R    [1.47,1.0051015,1.0051015438 747215132,0.4387472151 32 E -7],
--R    [1.48,1.0041362,1.0041361930 846981533,- 0.6915301846 7 E -8],
--R    [1.49,1.0032729,1.0032729250 49913637,0.2504991363 7 E -7],
--R    [1.5,1.0025113,1.0025113042 4672491,0.424672491 E -8],
--R    [1.51,1.0018509,1.0018509471 78269319,0.4717826931 9 E -7],
--R    [1.52,1.0012915,1.0012915219 017225962,0.2190172259 62 E -7],
--R    [1.53,1.0008327,1.0008327476 201189712,0.4762011897 12 E -7],
--R    [1.54,1.0004744,1.0004743943 377968613,- 0.5662203138 7 E -8],
--R    [1.55,1.0002163,1.0002162825 786817653,- 0.1742131823 47 E -7],
--R    [1.56,1.0000583,1.0000582831 667632601,- 0.1683323673 99 E -7],
--R    [1.57,1.0000003,1.0000003170 68265912,0.1706826591 2 E -7],
--R    [1.58,1.0000424,1.0000423552 951549942,- 0.4470484500 58 E -7],
--R    [1.59,1.0001844,1.0001844188 697576625,0.1886975766 25 E -7],
--R    [1.6,1.0004266,1.0004265788 504192126,- 0.2114958078 74 E -7]]
--R                                                      Type: List(List(Float))
--E 2
)spool
)lisp (bye)

———-

References

[1] Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp186-188