$SPAD/src/input tancot.input

Timothy Daly December 3, 2016

Abstract

This compares Axiom’s tan and cot 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 tan(x), ranging from 0.01 to 1.60. The second column is the reference value of tan from the book Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp186-188

— * —

)set break resume
)spool tancot.output
)set message test on
)set message auto off
)clear all
--S 1 of 2
[[0.01,0.010000333,tan(0.01),tan(0.01)-(0.010000333)],_
[0.02,0.020002667,tan(0.02),tan(0.02)-(0.020002667)],_
[0.03,0.030009003,tan(0.03),tan(0.03)-(0.030009003)],_
[0.04,0.040021347,tan(0.04),tan(0.04)-(0.040021347)],_
[0.05,0.050041708,tan(0.05),tan(0.05)-(0.050041708)],_
[0.06,0.060072104,tan(0.06),tan(0.06)-(0.060072104)],_
[0.07,0.070114558,tan(0.07),tan(0.07)-(0.070114558)],_
[0.08,0.080171105,tan(0.08),tan(0.08)-(0.080171105)],_
[0.09,0.090243790,tan(0.09),tan(0.09)-(0.090243790)],_
[0.10,0.10033467,tan(0.10),tan(0.10)-(0.10033467)],_
[0.11,0.11044582,tan(0.11),tan(0.11)-(0.11044582)],_
[0.12,0.12057934,tan(0.12),tan(0.12)-(0.12057934)],_
[0.13,0.13073732,tan(0.13),tan(0.13)-(0.13073732)],_
[0.14,0.14092189,tan(0.14),tan(0.14)-(0.14092189)],_
[0.15,0.15113522,tan(0.15),tan(0.15)-(0.15113522)],_
[0.16,0.16137946,tan(0.16),tan(0.16)-(0.16137946)],_
[0.17,0.17165682,tan(0.17),tan(0.17)-(0.17165682)],_
[0.18,0.18196953,tan(0.18),tan(0.18)-(0.18196953)],_
[0.19,0.19231984,tan(0.19),tan(0.19)-(0.19231984)],_
[0.20,0.20271004,tan(0.20),tan(0.20)-(0.20271004)],_
[0.21,0.21314244,tan(0.21),tan(0.21)-(0.21314244)],_
[0.22,0.22361942,tan(0.22),tan(0.22)-(0.22361942)],_
[0.23,0.23414336,tan(0.23),tan(0.23)-(0.23414336)],_
[0.24,0.24471670,tan(0.24),tan(0.24)-(0.24471670)],_
[0.25,0.25534192,tan(0.25),tan(0.25)-(0.25534192)],_
[0.26,0.26602154,tan(0.26),tan(0.26)-(0.26602154)],_
[0.27,0.27675814,tan(0.27),tan(0.27)-(0.27675814)],_
[0.28,0.28755433,tan(0.28),tan(0.28)-(0.28755433)],_
[0.29,0.29841279,tan(0.29),tan(0.29)-(0.29841279)],_
[0.30,0.30933625,tan(0.30),tan(0.30)-(0.30933625)],_
[0.31,0.32032751,tan(0.31),tan(0.31)-(0.32032751)],_
[0.32,0.33138941,tan(0.32),tan(0.32)-(0.33138941)],_
[0.33,0.34252487,tan(0.33),tan(0.33)-(0.34252487)],_
[0.34,0.35373688,tan(0.34),tan(0.34)-(0.35373688)],_
[0.35,0.36502849,tan(0.35),tan(0.35)-(0.36502849)],_
[0.36,0.37640285,tan(0.36),tan(0.36)-(0.37640285)],_
[0.37,0.38786316,tan(0.37),tan(0.37)-(0.38786316)],_

[0.38,0.39941272,tan(0.38),tan(0.38)-(0.39941272)],_
[0.39,0.41105492,tan(0.39),tan(0.39)-(0.41105492)],_
[0.40,0.42279322,tan(0.40),tan(0.40)-(0.42279322)],_
[0.41,0.43463120,tan(0.41),tan(0.41)-(0.43463120)],_
[0.42,0.44657255,tan(0.42),tan(0.42)-(0.44657255)],_
[0.43,0.45862102,tan(0.43),tan(0.43)-(0.45862102)],_
[0.44,0.47078053,tan(0.44),tan(0.44)-(0.47078053)],_
[0.45,0.48305507,tan(0.45),tan(0.45)-(0.48305507)],_
[0.46,0.49544877,tan(0.46),tan(0.46)-(0.49544877)],_
[0.47,0.50796590,tan(0.47),tan(0.47)-(0.50796590)],_
[0.48,0.52061084,tan(0.48),tan(0.48)-(0.52061084)],_
[0.49,0.53338815,tan(0.49),tan(0.49)-(0.53338815)],_
[0.50,0.54630249,tan(0.50),tan(0.50)-(0.54630249)],_
[0.51,0.55935872,tan(0.51),tan(0.51)-(0.55935872)],_
[0.52,0.57256183,tan(0.52),tan(0.52)-(0.57256183)],_
[0.53,0.58591701,tan(0.53),tan(0.53)-(0.58591701)],_
[0.54,0.59942962,tan(0.54),tan(0.54)-(0.59942962)],_
[0.55,0.61310521,tan(0.55),tan(0.55)-(0.61310521)],_
[0.56,0.62694954,tan(0.56),tan(0.56)-(0.62694954)],_
[0.57,0.64096855,tan(0.57),tan(0.57)-(0.64096855)],_
[0.58,0.65516845,tan(0.58),tan(0.58)-(0.65516845)],_
[0.59,0.66955565,tan(0.59),tan(0.59)-(0.66955565)],_
[0.60,0.68413681,tan(0.60),tan(0.60)-(0.68413681)],_
[0.61,0.69891886,tan(0.61),tan(0.61)-(0.69891886)],_
[0.62,0.71390901,tan(0.62),tan(0.62)-(0.71390901)],_
[0.63,0.72911473,tan(0.63),tan(0.63)-(0.72911473)],_
[0.64,0.74454382,tan(0.64),tan(0.64)-(0.74454382)],_
[0.65,0.76020440,tan(0.65),tan(0.65)-(0.76020440)],_
[0.66,0.77610491,tan(0.66),tan(0.66)-(0.77610491)],_
[0.67,0.79225417,tan(0.67),tan(0.67)-(0.79225417)],_
[0.68,0.80866138,tan(0.68),tan(0.68)-(0.80866138)],_
[0.69,0.82533611,tan(0.69),tan(0.69)-(0.82533611)],_
[0.70,0.84228838,tan(0.70),tan(0.70)-(0.84228838)],_
[0.71,0.85952867,tan(0.71),tan(0.71)-(0.85952867)],_
[0.72,0.87706790,tan(0.72),tan(0.72)-(0.87706790)],_
[0.73,0.89491753,tan(0.73),tan(0.73)-(0.89491753)],_
[0.74,0.91308953,tan(0.74),tan(0.74)-(0.91308953)],_
[0.75,0.93159646,tan(0.75),tan(0.75)-(0.93159646)],_
[0.76,0.95045146,tan(0.76),tan(0.76)-(0.95045146)],_
[0.77,0.96966833,tan(0.77),tan(0.77)-(0.96966833)],_
[0.78,0.98926154,tan(0.78),tan(0.78)-(0.98926154)],_
[0.79,1.00924629,tan(0.79),tan(0.79)-(1.00924629)],_
[0.80,1.02963857,tan(0.80),tan(0.80)-(1.02963857)],_
[0.81,1.05045514,tan(0.81),tan(0.81)-(1.05045514)],_
[0.82,1.07171372,tan(0.82),tan(0.82)-(1.07171372)],_
[0.83,1.09343292,tan(0.83),tan(0.83)-(1.09343292)],_
[0.84,1.11563235,tan(0.84),tan(0.84)-(1.11563235)],_
[0.85,1.13833271,tan(0.85),tan(0.85)-(1.13833271)],_
[0.86,1.16155586,tan(0.86),tan(0.86)-(1.16155586)],_
[0.87,1.18532486,tan(0.87),tan(0.87)-(1.18532486)],_

[0.88,1.20966412,tan(0.88),tan(0.88)-(1.20966412)],_
[0.89,1.23459946,tan(0.89),tan(0.89)-(1.23459946)],_
[0.90,1.26015822,tan(0.90),tan(0.90)-(1.26015822)],_
[0.91,1.28636938,tan(0.91),tan(0.91)-(1.28636938)],_
[0.92,1.31326370,tan(0.92),tan(0.92)-(1.31326370)],_
[0.93,1.34087383,tan(0.93),tan(0.93)-(1.34087383)],_
[0.94,1.36923448,tan(0.94),tan(0.94)-(1.36923448)],_
[0.95,1.39838259,tan(0.95),tan(0.95)-(1.39838259)],_
[0.96,1.42835749,tan(0.96),tan(0.96)-(1.42835749)],_
[0.97,1.45920113,tan(0.97),tan(0.97)-(1.45920113)],_
[0.98,1.49095827,tan(0.98),tan(0.98)-(1.49095827)],_
[0.99,1.52367674,tan(0.99),tan(0.99)-(1.52367674)],_
[1.00,1.55740772,tan(1.00),tan(1.00)-(1.55740772)],_
[1.01,1.5922060,tan(1.01),tan(1.01)-(1.5922060)],_
[1.02,1.6281304,tan(1.02),tan(1.02)-(1.6281304)],_
[1.03,1.6652440,tan(1.03),tan(1.03)-(1.6652440)],_
[1.04,1.7036146,tan(1.04),tan(1.04)-(1.7036146)],_
[1.05,1.7433153,tan(1.05),tan(1.05)-(1.7433153)],_
[1.06,1.7844248,tan(1.06),tan(1.06)-(1.7844248)],_
[1.07,1.8270282,tan(1.07),tan(1.07)-(1.8270282)],_
[1.08,1.8712173,tan(1.08),tan(1.08)-(1.8712173)],_
[1.09,1.9170918,tan(1.09),tan(1.09)-(1.9170918)],_
[1.10,1.9647597,tan(1.10),tan(1.10)-(1.9647597)],_
[1.11,2.0143382,tan(1.11),tan(1.11)-(2.0143382)],_
[1.12,2.0659553,tan(1.12),tan(1.12)-(2.0659553)],_
[1.13,2.1197501,tan(1.13),tan(1.13)-(2.1197501)],_
[1.14,2.1758751,tan(1.14),tan(1.14)-(2.1758751)],_
[1.15,2.2344969,tan(1.15),tan(1.15)-(2.2344969)],_
[1.16,2.2957985,tan(1.16),tan(1.16)-(2.2957985)],_
[1.17,2.3599811,tan(1.17),tan(1.17)-(2.3599811)],_
[1.18,2.4272664,tan(1.18),tan(1.18)-(2.4272664)],_
[1.19,2.4978994,tan(1.19),tan(1.19)-(2.4978994)],_
[1.20,2.5721516,tan(1.20),tan(1.20)-(2.5721516)],_
[1.21,2.6503246,tan(1.21),tan(1.21)-(2.6503246)],_
[1.22,2.7327542,tan(1.22),tan(1.22)-(2.7327542)],_
[1.23,2.8198157,tan(1.23),tan(1.23)-(2.8198157)],_
[1.24,2.9119299,tan(1.24),tan(1.24)-(2.9119299)],_
[1.25,3.0095697,tan(1.25),tan(1.25)-(3.0095697)],_
[1.26,3.1132691,tan(1.26),tan(1.26)-(3.1132691)],_
[1.27,3.2236332,tan(1.27),tan(1.27)-(3.2236332)],_
[1.28,3.3413500,tan(1.28),tan(1.28)-(3.3413500)],_
[1.29,3.4672057,tan(1.29),tan(1.29)-(3.4672057)],_
[1.30,3.6021024,tan(1.30),tan(1.30)-(3.6021024)],_
[1.31,3.7470810,tan(1.31),tan(1.31)-(3.7470810)],_
[1.32,3.9033478,tan(1.32),tan(1.32)-(3.9033478)],_
[1.33,4.0723098,tan(1.33),tan(1.33)-(4.0723098)],_
[1.34,4.2556179,tan(1.34),tan(1.34)-(4.2556179)],_
[1.35,4.4552218,tan(1.35),tan(1.35)-(4.4552218)],_
[1.36,4.6734412,tan(1.36),tan(1.36)-(4.6734412)],_
[1.37,4.9130581,tan(1.37),tan(1.37)-(4.9130581)],_

[1.38,5.1774374,tan(1.38),tan(1.38)-(5.1774374)],_
[1.39,5.4706886,tan(1.39),tan(1.39)-(5.4706886)],_
[1.40,5.7978837,tan(1.40),tan(1.40)-(5.7978837)],_
[1.41,6.1653561,tan(1.41),tan(1.41)-(6.1653561)],_
[1.42,6.5811195,tan(1.42),tan(1.42)-(6.5811195)],_
[1.43,7.0554638,tan(1.43),tan(1.43)-(7.0554638)],_
[1.44,7.6018261,tan(1.44),tan(1.44)-(7.6018261)],_
[1.45,8.2380928,tan(1.45),tan(1.45)-(8.2380928)],_
[1.46,8.9886076,tan(1.46),tan(1.46)-(8.9886076)],_
[1.47,9.8873749,tan(1.47),tan(1.47)-(9.8873749)],_
[1.48,10.9833793,tan(1.48),tan(1.48)-(10.9833793)],_
[1.49,12.3498564,tan(1.49),tan(1.49)-(12.3498564)],_
[1.50,14.1014199,tan(1.50),tan(1.50)-(14.1014199)],_
[1.51,16.4280917,tan(1.51),tan(1.51)-(16.4280917)],_
[1.52,19.6695278,tan(1.52),tan(1.52)-(19.6695278)],_
[1.53,24.4984104,tan(1.53),tan(1.53)-(24.4984104)],_
[1.54,32.4611389,tan(1.54),tan(1.54)-(32.4611389)],_
[1.55,48.0784825,tan(1.55),tan(1.55)-(48.0784825)],_
[1.56,92.6204963,tan(1.56),tan(1.56)-(92.6204963)],_
[1.57,1255.7655915,tan(1.57),tan(1.57)-(1255.7655915)],_
[1.58,-108.6492036,tan(1.58),tan(1.58)-(-108.6492036)],_
[1.59,-52.0669696,tan(1.59),tan(1.59)-(-52.0669696)],_
[1.60,-34.2325327,tan(1.60),tan(1.60)-(-34.2325327)]]
--R
--R
--R   (1)
--R   [[0.01,0.010000333,0.0100003333 4666720637 1,0.3466672063 71 E -9],
--R    [0.02,0.020002667,0.0200026670 9340242389 7,0.9340242389 7 E -10],
--R    [0.03,0.030009003,0.0300090032 4118071632 9,0.2411807163 29 E -9],
--R    [0.04,0.040021347,0.0400213469 9551456207 2,- 0.4485437928 E -11],
--R    [0.05,0.050041708,0.0500417083 7553878891 2,0.3755387889 12 E -9],
--R    [0.06,0.060072104,0.0600721038 3129728751 1,- 0.1687027124 9 E -9],
--R    [0.07,0.070114558,0.0701145578 7200271322 9,- 0.1279972867 7 E -9],
--R    [0.08,0.080171105,0.0801711047 0807255711 8,- 0.2919274428 8 E -9],
--R    [0.09,0.09024379,0.0902437899 0978545046 6,- 0.9021454953 4 E -10],
--R    [0.1,0.10033467,0.1003346720 8545054506,0.2085450545 06 E -8],
--R    [0.11,0.11044582,0.1104458245 820405045,0.4582040504 5 E -8],
--R    [0.12,0.12057934,0.1205793372 1130531183,- 0.2788694688 17 E -8],
--R    [0.13,0.13073732,0.1307373180 0446004867,- 0.1995539951 33 E -8],
--R    [0.14,0.14092189,0.1409218949 9862537921,0.4998625379 21 E -8],
--R    [0.15,0.15113522,0.1511352180 5829507125,- 0.1941704928 75 E -8],
--R    [0.16,0.16137946,0.1613794607 3521095024,0.7352109502 4 E -9],
--R    [0.17,0.17165682,0.1716568221 7014270414,0.2170142704 14 E -8],
--R    [0.18,0.18196953,0.1819695290 4019848684,- 0.9598015131 64 E -9],
--R    [0.19,0.19231984,0.1923198375 554329145,- 0.2444567085 5 E -8],
--R    [0.2,0.20271004,0.2027100355 0867248332,- 0.4491327516 68 E -8],
--R    [0.21,0.21314244,0.2131424443 8264539723,0.4382645397 23 E -8],
--R    [0.22,0.22361942,0.2236194215 1868409245,0.1518684092 45 E -8],
--R    [0.23,0.23414336,0.2341433623 5146527061,0.2351465270 61 E -8],
--R    [0.24,0.2447167,0.2447167027 1446497862,0.2714464978 62 E -8],

--R    [0.25,0.25534192,0.2553419212 2103626651,0.1221036266 5 E -8],
--R    [0.26,0.26602154,0.2660215417 2626537908,0.1726265379 1 E -8],
--R    [0.27,0.27675814,0.2767581358 7503056579,- 0.4124969434 21 E -8],
--R    [0.28,0.28755433,0.2875543257 41976815,- 0.4258023185 E -8],
--R    [0.29,0.29841279,0.2984127865 694316513,- 0.3430568348 7 E -8],
--R    [0.3,0.30933625,0.3093362496 0962323304,- 0.3903767669 6 E -9],
--R    [0.31,0.32032751,0.3203275050 7792416023,- 0.4922075839 77 E -8],
--R    [0.32,0.33138941,0.3313894052 2423462352,- 0.4775765376 48 E -8],
--R    [0.33,0.34252487,0.3425248675 3003894803,- 0.2469961051 97 E -8],
--R    [0.34,0.35373688,0.3537368780 3912256577,- 0.1960877434 23 E -8],
--R    [0.35,0.36502849,0.3650284948 3042455832,0.4830424558 32 E -8],
--R    [0.36,0.37640285,0.3764028516 4202695764,0.1642026957 6 E -8],
--R    [0.37,0.38786316,0.3878631616 5584905222,0.1655849052 2 E -8],
--R    [0.38,0.39941272,0.3994127214 5322637827,0.1453226378 3 E -8],
--R    [0.39,0.41105492,0.4110549151 5221356343,- 0.4847786436 57 E -8],
--R    [0.4,0.42279322,0.4227932187 3816176198,- 0.1261838238 E -8],
--R    [0.41,0.4346312,0.4346312045 9988949299,0.4599889492 99 E -8],
--R    [0.42,0.44657255,0.4465725462 8459510803,- 0.3715404891 96 E -8],
--R    [0.43,0.45862102,0.4586210234 8555518632,0.3485555186 32 E -8],
--R    [0.44,0.47078053,0.4707805272 7762171492,- 0.2722378285 08 E -8],
--R    [0.45,0.48305507,0.4830550656 1657837051,- 0.4383421629 49 E -8],
--R    [0.46,0.49544877,0.4954487691 1954962242,- 0.8804503775 8 E -9],
--R    [0.47,0.5079659,0.5079658971 4488348004,- 0.285511652 E -8],
--R    [0.48,0.52061084,0.5206108441 9125804964,0.4191258049 65 E -8],
--R    [0.49,0.53338815,0.5333881466 3720305695,- 0.3362796943 1 E -8],
--R    [0.5,0.54630249,0.5463024898 4379051326,- 0.1562094867 E -9],
--R    [0.51,0.55935872,0.5593587156 4494521344,- 0.4355054786 56 E -8],
--R    [0.52,0.57256183,0.5725618302 5166841478,0.2516684148 E -9],
--R    [0.53,0.58591701,0.5859170125 9847085812,0.2598470858 1 E -8],
--R    [0.54,0.59942962,0.5994296231 6248975451,0.3162489754 5 E -8],
--R    [0.55,0.61310521,0.6131052132 8813564222,0.3288135642 2 E -8],
--R    [0.56,0.62694954,0.6269495350 5269815933,- 0.4947301840 67 E -8],
--R    [0.57,0.64096855,0.6409685517 1115591313,0.1711155913 1 E -8],
--R    [0.58,0.65516845,0.6551684487 6150824025,- 0.1238491759 7 E -8],
--R    [0.59,0.66955565,0.6695556456 753018611,- 0.4324698138 9 E -8],
--R    [0.6,0.68413681,0.6841368083 4169231707,- 0.1658307682 9 E -8],
--R    [0.61,0.69891886,0.6989188622 7739105048,0.2277391050 5 E -8],
--R    [0.62,0.71390901,0.7139090066 5924020594,- 0.3340759794 1 E -8],
--R    [0.63,0.72911473,0.7291147292 4096908976,- 0.7590309102 4 E -9],
--R    [0.64,0.74454382,0.7445438222 2096388599,0.2220963886 E -8],
--R    [0.65,0.7602044,0.7602043991 3367625635,- 0.8663237436 5 E -9],
--R    [0.66,0.77610491,0.7761049128 4366351779,0.2843663517 8 E -8],
--R    [0.67,0.79225417,0.7922541747 2825678628,0.4728256786 28 E -8],
--R    [0.68,0.80866138,0.8086613751 4256524544,- 0.4857434754 56 E -8],
--R    [0.69,0.82533611,0.8253361052 6902491172,- 0.4730975088 28 E -8],
--R    [0.7,0.84228838,0.8422883804 6307944813,0.4630794481 E -9],
--R    [0.71,0.85952867,0.8595286652 1694081593,- 0.4783059184 07 E -8],
--R    [0.72,0.8770679,0.8770678998 7483414069,- 0.1251658593 E -9],
--R    [0.73,0.89491753,0.8949175292 4581448181,- 0.7541855181 9 E -9],
--R    [0.74,0.91308953,0.9130895332 7430087206,0.3274300872 1 E -8],

--R    [0.75,0.93159646,0.9315964599 4407246117,- 0.559275388 E -10],
--R    [0.76,0.95045146,0.9504514606 0880299797,0.6088029979 7 E -9],
--R    [0.77,0.96966833,0.9696683279 6148947799,- 0.2038510522 E -8],
--R    [0.78,0.98926154,0.9892615368 7660491155,- 0.3123395088 4 E -8],
--R    [0.79,1.00924629,1.0092462883 827548811,- 0.1617245118 9 E -8],
--R    [0.8,1.02963857,1.0296385570 503640128,- 0.1294963598 73 E -7],
--R    [0.81,1.05045514,1.0504551421 088292806,0.2108829280 6 E -8],
--R    [0.82,1.07171372,1.0717137226 410736441,0.2641073644 1 E -8],
--R    [0.83,1.09343292,1.0934329172 409999188,- 0.2759000081 2 E -8],
--R    [0.84,1.11563235,1.1156323485 615378951,- 0.1438462104 9 E -8],
--R    [0.85,1.13833271,1.1383327132 284394134,0.3228439413 4 E -8],
--R    [0.86,1.16155586,1.1615558576 484476046,- 0.2351552395 4 E -8],
--R    [0.87,1.18532486,1.1853248603 008053505,0.3008053505 E -9],
--R    [0.88,1.20966412,1.2096641211 692683367,0.1169268336 7 E -8],
--R    [0.89,1.23459946,1.2345994590 490045825,- 0.9509954175 3 E -9],
--R    [0.9,1.26015822,1.2601582175 503391371,- 0.2449660862 9 E -8],
--R    [0.91,1.28636938,1.2863693807 208075758,0.7208075758 E -9],
--R    [0.92,1.3132637,1.3132636993 202478365,- 0.6797521635 E -9],
--R    [0.93,1.34087383,1.3408738289 128343042,- 0.1087165695 8 E -8],
--R    [0.94,1.36923448,1.3692344810 875628038,0.1087562803 8 E -8],
--R    [0.95,1.39838259,1.3983825892 876991461,- 0.7123008539 E -9],
--R    [0.96,1.42835749,1.4283574909 236105601,0.9236105601 E -9],
--R    [0.97,1.45920113,1.4592011276 663536858,- 0.2333646314 2 E -8],
--R    [0.98,1.49095827,1.4909582660 763114779,- 0.3923688522 1 E -8],
--R    [0.99,1.52367674,1.5236767410 179022725,0.1017902272 5 E -8],
--R    [1.0,1.55740772,1.5574077246 549022305,0.4654902230 5 E -8],
--R    [1.01,1.592206,1.5922060242 195703744,0.2421957037 44 E -7],
--R    [1.02,1.6281304,1.6281304122 125526001,0.1221255260 01 E -7],
--R    [1.03,1.665244,1.6652439932 315124346,- 0.6768487565 4 E -8],
--R    [1.04,1.7036146,1.7036146122 591331094,0.1225913310 94 E -7],
--R    [1.05,1.7433153,1.7433153099 831702625,0.9983170262 47 E -8],
--R    [1.06,1.7844248,1.7844248315 940126524,0.3159401265 24 E -7],
--R    [1.07,1.8270282,1.8270281965 348367381,- 0.3465163261 9 E -8],
--R    [1.08,1.8712173,1.8712173378 97878195,0.3789787819 5 E -7],
--R    [1.09,1.9170918,1.9170918216 068594024,0.2160685940 24 E -7],
--R    [1.1,1.9647597,1.9647596572 486519509,- 0.4275134804 91 E -7],
--R    [1.11,2.0143382,2.0143382144 768273135,0.1447682731 3 E -7],
--R    [1.12,2.0659553,2.0659552613 80510241,- 0.3861948975 9 E -7],
--R    [1.13,2.1197501,2.1197501441 871810139,0.4418718101 39 E -7],
--R    [1.14,2.1758751,2.1758751312 648761686,0.3126487616 86 E -7],
--R    [1.15,2.2344969,2.2344969487 553259802,0.4875532598 02 E -7],
--R    [1.16,2.2957985,2.2957985404 922076011,0.4049220760 11 E -7],
--R    [1.17,2.3599811,2.3599810913 765482032,- 0.8623451796 7 E -8],
--R    [1.18,2.4272664,2.4272663614 002235775,- 0.3859977642 25 E -7],
--R    [1.19,2.4978994,2.4978993874 226530062,- 0.1257734699 4 E -7],
--R    [1.2,2.5721516,2.5721516221 263189354,0.2212631893 54 E -7],
--R    [1.21,2.6503246,2.6503245949 706014665,- 0.5029398533 5 E -8],
--R    [1.22,2.7327542,2.7327541993 067149987,- 0.6932850013 E -9],
--R    [1.23,2.8198157,2.8198157342 681519748,0.3426815197 48 E -7],
--R    [1.24,2.9119299,2.9119298611 552260267,- 0.3884477397 34 E -7],

--R    [1.25,3.0095697,3.0095696738 628312882,- 0.2613716871 18 E -7],
--R    [1.26,3.1132691,3.1132691342 651312093,0.3426513120 93 E -7],
--R    [1.27,3.2236332,3.2236331902 040711359,- 0.9795928864 E -8],
--R    [1.28,3.34135,3.3413499811 153736983,- 0.1888462630 17 E -7],
--R    [1.29,3.4672057,3.4672056517 213857853,- 0.4827861421 47 E -7],
--R    [1.3,3.6021024,3.6021024479 679781512,0.4796797815 12 E -7],
--R    [1.31,3.747081,3.7470809761 884290733,- 0.2381157092 67 E -7],
--R    [1.32,3.9033478,3.9033477874 966235656,- 0.1250337643 4 E -7],
--R    [1.33,4.0723098,4.0723098354 650698554,0.3546506985 54 E -7],
--R    [1.34,4.2556179,4.2556178917 394653427,- 0.8260534657 3 E -8],
--R    [1.35,4.4552218,4.4552217595 627031753,- 0.4043729682 47 E -7],
--R    [1.36,4.6734412,4.6734412029 885596449,0.2988559645 E -8],
--R    [1.37,4.9130581,4.9130580704 624720101,- 0.2953752799 E -7],
--R    [1.38,5.1774374,5.1774373886 304102949,- 0.1136958970 5 E -7],
--R    [1.39,5.4706886,5.4706886429 532054937,0.4295320549 37 E -7],
--R    [1.4,5.7978837,5.7978837154 828896437,0.1548288964 4 E -7],
--R    [1.41,6.1653561,6.1653561445 520255476,0.4455202554 75 E -7],
--R    [1.42,6.5811195,6.5811194561 942543239,- 0.4380574567 61 E -7],
--R    [1.43,7.0554638,7.0554637664 342109722,- 0.3356578902 78 E -7],
--R    [1.44,7.6018261,7.6018260620 257232407,- 0.3797427675 94 E -7],
--R    [1.45,8.2380928,8.2380927529 656070833,- 0.4703439291 7 E -7],
--R    [1.46,8.9886076,8.9886076017 241695008,0.1724169501 E -8],
--R    [1.47,9.8873749,9.8873748919 855531724,- 0.8014446827 5 E -8],
--R    [1.48,10.9833793,10.9833793143 26067301,0.1432606730 1 E -7],
--R    [1.49,12.3498564,12.3498564416 25802114,0.4162580211 4 E -7],
--R    [1.5,14.1014199,14.1014199471 71719388,0.4717171938 8 E -7],
--R    [1.51,16.4280917,16.4280917038 85335336,0.3885335336 E -8],
--R    [1.52,19.6695278,19.6695278205 58866232,0.2055886623 2 E -7],
--R    [1.53,24.4984104,24.4984104418 38034593,0.4183803459 3 E -7],
--R    [1.54,32.4611389,32.4611389128 56765176,0.1285676518 E -7],
--R    [1.55,48.0784825,48.0784824792 18968279,- 0.2078103172 E -7],
--R    [1.56,92.6204963,92.6204963167 04102469,0.1670410247 E -7],
--R    [1.57,1255.7655915,1255.7655915006 916051,0.6916051 E -9],
--R    [1.58,- 108.6492036,- 108.6492036048 4393447,- 0.484393447 E -8],
--R    [1.59,- 52.0669696,- 52.0669696509 12563554,- 0.5091256355 4 E -7],
--R    [1.6,- 34.2325327,- 34.2325327355 57417056,- 0.3555741705 7 E -7]]
--R                                                      Type: List(List(Float))
--E 1

———-

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

— * —

--S 2 of 2
[[0.01,99.9966666,cot(0.01),cot(0.01)-(99.9966666)],_
[0.02,49.9933332,cot(0.02),cot(0.02)-(49.9933332)],_

[0.03,33.3233327,cot(0.03),cot(0.03)-(33.3233327)],_
[0.04,24.9866652,cot(0.04),cot(0.04)-(24.9866652)],_
[0.05,19.9833306,cot(0.05),cot(0.05)-(19.9833306)],_
[0.06,16.6466619,cot(0.06),cot(0.06)-(16.6466619)],_
[0.07,14.2623733,cot(0.07),cot(0.07)-(14.2623733)],_
[0.08,12.4733219,cot(0.08),cot(0.08)-(12.4733219)],_
[0.09,11.0810949,cot(0.09),cot(0.09)-(11.0810949)],_
[0.10,9.9666444,cot(0.10),cot(0.10)-(9.9666444)],_
[0.11,9.0542128,cot(0.11),cot(0.11)-(9.0542128)],_
[0.12,8.2932949,cot(0.12),cot(0.12)-(8.2932949)],_
[0.13,7.6489255,cot(0.13),cot(0.13)-(7.6489255)],_
[0.14,7.0961294,cot(0.14),cot(0.14)-(7.0961294)],_
[0.15,6.6165915,cot(0.15),cot(0.15)-(6.6165915)],_
[0.16,6.1965754,cot(0.16),cot(0.16)-(6.1965754)],_
[0.17,5.8255768,cot(0.17),cot(0.17)-(5.8255768)],_
[0.18,5.4954256,cot(0.18),cot(0.18)-(5.4954256)],_
[0.19,5.1996716,cot(0.19),cot(0.19)-(5.1996716)],_
[0.20,4.9331549,cot(0.20),cot(0.20)-(4.9331549)],_
[0.21,4.6916981,cot(0.21),cot(0.21)-(4.6916981)],_
[0.22,4.4718835,cot(0.22),cot(0.22)-(4.4718835)],_
[0.23,4.2708877,cot(0.23),cot(0.23)-(4.2708877)],_
[0.24,4.0863578,cot(0.24),cot(0.24)-(4.0863578)],_
[0.25,3.9163174,cot(0.25),cot(0.25)-(3.9163174)],_
[0.26,3.7590941,cot(0.26),cot(0.26)-(3.7590941)],_
[0.27,3.6132632,cot(0.27),cot(0.27)-(3.6132632)],_
[0.28,3.4776037,cot(0.28),cot(0.28)-(3.4776037)],_
[0.29,3.3510628,cot(0.29),cot(0.29)-(3.3510628)],_
[0.30,3.2327281,cot(0.30),cot(0.30)-(3.2327281)],_
[0.31,3.1218050,cot(0.31),cot(0.31)-(3.1218050)],_
[0.32,3.0175980,cot(0.32),cot(0.32)-(3.0175980)],_
[0.33,2.9194961,cot(0.33),cot(0.33)-(2.9194961)],_
[0.34,2.8269600,cot(0.34),cot(0.34)-(2.8269600)],_
[0.35,2.7395122,cot(0.35),cot(0.35)-(2.7395122)],_
[0.36,2.6567280,cot(0.36),cot(0.36)-(2.6567280)],_
[0.37,2.5782289,cot(0.37),cot(0.37)-(2.5782289)],_
[0.38,2.5036759,cot(0.38),cot(0.38)-(2.5036759)],_
[0.39,2.4327650,cot(0.39),cot(0.39)-(2.4327650)],_
[0.40,2.3652224,cot(0.40),cot(0.40)-(2.3652224)],_
[0.41,2.3008012,cot(0.41),cot(0.41)-(2.3008012)],_
[0.42,2.2392778,cot(0.42),cot(0.42)-(2.2392778)],_
[0.43,2.1804495,cot(0.43),cot(0.43)-(2.1804495)],_
[0.44,2.1241320,cot(0.44),cot(0.44)-(2.1241320)],_
[0.45,2.0701574,cot(0.45),cot(0.45)-(2.0701574)],_
[0.46,2.0183722,cot(0.46),cot(0.46)-(2.0183722)],_
[0.47,1.9686361,cot(0.47),cot(0.47)-(1.9686361)],_
[0.48,1.9208205,cot(0.48),cot(0.48)-(1.9208205)],_
[0.49,1.8748073,cot(0.49),cot(0.49)-(1.8748073)],_
[0.50,1.83048772,cot(0.50),cot(0.50)-(1.83048772)],_
[0.51,1.78776154,cot(0.51),cot(0.51)-(1.78776154)],_
[0.52,1.74653626,cot(0.52),cot(0.52)-(1.74653626)],_

[0.53,1.70672634,cot(0.53),cot(0.53)-(1.70672634)],_
[0.54,1.66825255,cot(0.54),cot(0.54)-(1.66825255)],_
[0.55,1.63104142,cot(0.55),cot(0.55)-(1.63104142)],_
[0.56,1.59502471,cot(0.56),cot(0.56)-(1.59502471)],_
[0.57,1.56013894,cot(0.57),cot(0.57)-(1.56013894)],_
[0.58,1.52632503,cot(0.58),cot(0.58)-(1.52632503)],_
[0.59,1.49352784,cot(0.59),cot(0.59)-(1.49352784)],_
[0.60,1.46169595,cot(0.60),cot(0.60)-(1.46169595)],_
[0.61,1.43078125,cot(0.61),cot(0.61)-(1.43078125)],_
[0.62,1.40073873,cot(0.62),cot(0.62)-(1.40073873)],_
[0.63,1.37152626,cot(0.63),cot(0.63)-(1.37152626)],_
[0.64,1.34310429,cot(0.64),cot(0.64)-(1.34310429)],_
[0.65,1.31543569,cot(0.65),cot(0.65)-(1.31543569)],_
[0.66,1.28848559,cot(0.66),cot(0.66)-(1.28848559)],_
[0.67,1.26222118,cot(0.67),cot(0.67)-(1.26222118)],_
[0.68,1.23661155,cot(0.68),cot(0.68)-(1.23661155)],_
[0.69,1.21162759,cot(0.69),cot(0.69)-(1.21162759)],_
[0.70,1.18724183,cot(0.70),cot(0.70)-(1.18724183)],_
[0.71,1.16342833,cot(0.71),cot(0.71)-(1.16342833)],_
[0.72,1.14016258,cot(0.72),cot(0.72)-(1.14016258)],_
[0.73,1.11742140,cot(0.73),cot(0.73)-(1.11742140)],_
[0.74,1.09518285,cot(0.74),cot(0.74)-(1.09518285)],_
[0.75,1.07342615,cot(0.75),cot(0.75)-(1.07342615)],_
[0.76,1.05213158,cot(0.76),cot(0.76)-(1.05213158)],_
[0.77,1.03128046,cot(0.77),cot(0.77)-(1.03128046)],_
[0.78,1.01085503,cot(0.78),cot(0.78)-(1.01085503)],_
[0.79,0.99083842,cot(0.79),cot(0.79)-(0.99083842)],_
[0.80,0.97121460,cot(0.80),cot(0.80)-(0.97121460)],_
[0.81,0.95196830,cot(0.81),cot(0.81)-(0.95196830)],_
[0.82,0.93308500,cot(0.82),cot(0.82)-(0.93308500)],_
[0.83,0.91455085,cot(0.83),cot(0.83)-(0.91455085)],_
[0.84,0.89635264,cot(0.84),cot(0.84)-(0.89635264)],_
[0.85,0.87847778,cot(0.85),cot(0.85)-(0.87847778)],_
[0.86,0.86091426,cot(0.86),cot(0.86)-(0.86091426)],_
[0.87,0.84365058,cot(0.87),cot(0.87)-(0.84365058)],_
[0.88,0.82667575,cot(0.88),cot(0.88)-(0.82667575)],_
[0.89,0.80997930,cot(0.89),cot(0.89)-(0.80997930)],_
[0.90,0.79355115,cot(0.90),cot(0.90)-(0.79355115)],_
[0.91,0.77738169,cot(0.91),cot(0.91)-(0.77738169)],_
[0.92,0.76146169,cot(0.92),cot(0.92)-(0.76146169)],_
[0.93,0.74578232,cot(0.93),cot(0.93)-(0.74578232)],_
[0.94,0.73033510,cot(0.94),cot(0.94)-(0.73033510)],_
[0.95,0.71511188,cot(0.95),cot(0.95)-(0.71511188)],_
[0.96,0.70010485,cot(0.96),cot(0.96)-(0.70010485)],_
[0.97,0.68530649,cot(0.97),cot(0.97)-(0.68530649)],_
[0.98,0.67070959,cot(0.98),cot(0.98)-(0.67070959)],_
[0.99,0.65630719,cot(0.99),cot(0.99)-(0.65630719)],_
[1.00,0.64209262,cot(1.00),cot(1.00)-(0.64209262)],_
[1.01,0.62805942,cot(1.01),cot(1.01)-(0.62805942)],_
[1.02,0.61420141,cot(1.02),cot(1.02)-(0.61420141)],_

[1.03,0.60051260,cot(1.03),cot(1.03)-(0.60051260)],_
[1.04,0.58698722,cot(1.04),cot(1.04)-(0.58698722)],_
[1.05,0.57361970,cot(1.05),cot(1.05)-(0.57361970)],_
[1.06,0.56040467,cot(1.06),cot(1.06)-(0.56040467)],_
[1.07,0.54733693,cot(1.07),cot(1.07)-(0.54733693)],_
[1.08,0.53441147,cot(1.08),cot(1.08)-(0.53441147)],_
[1.09,0.52162342,cot(1.09),cot(1.09)-(0.52162342)],_
[1.10,0.50896811,cot(1.10),cot(1.10)-(0.50896811)],_
[1.11,0.49644096,cot(1.11),cot(1.11)-(0.49644096)],_
[1.12,0.48403759,cot(1.12),cot(1.12)-(0.48403759)],_
[1.13,0.47175371,cot(1.13),cot(1.13)-(0.47175371)],_
[1.14,0.45958520,cot(1.14),cot(1.14)-(0.45958520)],_
[1.15,0.44752802,cot(1.15),cot(1.15)-(0.44752802)],_
[1.16,0.43557829,cot(1.16),cot(1.16)-(0.43557829)],_
[1.17,0.42373221,cot(1.17),cot(1.17)-(0.42373221)],_
[1.18,0.41198610,cot(1.18),cot(1.18)-(0.41198610)],_
[1.19,0.40033638,cot(1.19),cot(1.19)-(0.40033638)],_
[1.20,0.38877957,cot(1.20),cot(1.20)-(0.38877957)],_
[1.21,0.37731227,cot(1.21),cot(1.21)-(0.37731227)],_
[1.22,0.36593119,cot(1.22),cot(1.22)-(0.36593119)],_
[1.23,0.35463310,cot(1.23),cot(1.23)-(0.35463310)],_
[1.24,0.34341486,cot(1.24),cot(1.24)-(0.34341486)],_
[1.25,0.33227342,cot(1.25),cot(1.25)-(0.33227342)],_
[1.26,0.32120577,cot(1.26),cot(1.26)-(0.32120577)],_
[1.27,0.31020899,cot(1.27),cot(1.27)-(0.31020899)],_
[1.28,0.29928023,cot(1.28),cot(1.28)-(0.29928023)],_
[1.29,0.28841670,cot(1.29),cot(1.29)-(0.28841670)],_
[1.30,0.27761565,cot(1.30),cot(1.30)-(0.27761565)],_
[1.31,0.26687440,cot(1.31),cot(1.31)-(0.26687440)],_
[1.32,0.25619034,cot(1.32),cot(1.32)-(0.25619034)],_
[1.33,0.24556088,cot(1.33),cot(1.33)-(0.24556088)],_
[1.34,0.23498350,cot(1.34),cot(1.34)-(0.23498350)],_
[1.35,0.22445572,cot(1.35),cot(1.35)-(0.22445572)],_
[1.36,0.21397509,cot(1.36),cot(1.36)-(0.21397509)],_
[1.37,0.20353922,cot(1.37),cot(1.37)-(0.20353922)],_
[1.38,0.19314574,cot(1.38),cot(1.38)-(0.19314574)],_
[1.39,0.18279234,cot(1.39),cot(1.39)-(0.18279234)],_
[1.40,0.17247673,cot(1.40),cot(1.40)-(0.17247673)],_
[1.41,0.16219663,cot(1.41),cot(1.41)-(0.16219663)],_
[1.42,0.15194983,cot(1.42),cot(1.42)-(0.15194983)],_
[1.43,0.14173413,cot(1.43),cot(1.43)-(0.14173413)],_
[1.44,0.13154734,cot(1.44),cot(1.44)-(0.13154734)],_
[1.45,0.12138732,cot(1.45),cot(1.45)-(0.12138732)],_
[1.46,0.11125194,cot(1.46),cot(1.46)-(0.11125194)],_
[1.47,0.10113908,cot(1.47),cot(1.47)-(0.10113908)],_
[1.48,0.091046660,cot(1.48),cot(1.48)-(0.091046660)],_
[1.49,0.080972601,cot(1.49),cot(1.49)-(0.080972601)],_
[1.50,0.070914844,cot(1.50),cot(1.50)-(0.070914844)],_
[1.51,0.060871343,cot(1.51),cot(1.51)-(0.060871343)],_
[1.52,0.050840061,cot(1.52),cot(1.52)-(0.050840061)],_

[1.53,0.040818975,cot(1.53),cot(1.53)-(0.040818975)],_
[1.54,0.030806066,cot(1.54),cot(1.54)-(0.030806066)],_
[1.55,0.020799325,cot(1.55),cot(1.55)-(0.020799325)],_
[1.56,0.010796746,cot(1.56),cot(1.56)-(0.010796746)],_
[1.57,0.000796327,cot(1.57),cot(1.57)-(0.000796327)],_
[1.58,-0.009203933,cot(1.58),cot(1.58)-(-0.009203933)],_
[1.59,-0.019206034,cot(1.59),cot(1.59)-(-0.019206034)],_
[1.60,-0.029211978,cot(1.60),cot(1.60)-(-0.029211978)]]
--R
--R
--R   (2)
--R   [[0.01,99.9966666,99.9966666444 44232802,0.444442328 E -7],
--R    [0.02,49.9933332,49.9933331555 48782798,- 0.4445121720 2 E -7],
--R    [0.03,33.3233327,33.3233327332 81900133,0.3328190013 3 E -7],
--R    [0.04,24.9866652,24.9866652442 27690187,0.4422769018 7 E -7],
--R    [0.05,19.9833306,19.9833305548 94014508,- 0.4510598549 1 E -7],
--R    [0.06,16.6466619,16.6466618650 20359708,- 0.3497964029 2 E -7],
--R    [0.07,14.2623733,14.2623733265 9994931,0.2659994931 E -7],
--R    [0.08,12.4733219,12.4733219486 16087812,0.4861608781 2 E -7],
--R    [0.09,11.0810949,11.0810948986 03837279,- 0.1396162721 E -8],
--R    [0.1,9.9666444,9.9666444232 592378598,0.2325923786 E -7],
--R    [0.11,9.0542128,9.0542128123 384855803,0.1233848558 E -7],
--R    [0.12,8.2932949,8.2932948805 945312103,- 0.1940546879 E -7],
--R    [0.13,7.6489255,7.6489254580 38579468,- 0.4196142053 2 E -7],
--R    [0.14,7.0961294,7.0961293843 639732986,- 0.1563602670 1 E -7],
--R    [0.15,6.6165915,6.6165915055 899500987,0.5589950098 7 E -8],
--R    [0.16,6.1965754,6.1965754219 540076277,0.2195400762 8 E -7],
--R    [0.17,5.8255768,5.8255767953 622059416,- 0.4637794058 4 E -8],
--R    [0.18,5.4954256,5.4954255543 470259144,- 0.4565297408 56 E -7],
--R    [0.19,5.1996716,5.1996716132 404544488,0.1324045444 9 E -7],
--R    [0.2,4.9331549,4.9331548755 868936573,- 0.2441310634 3 E -7],
--R    [0.21,4.6916981,4.6916980937 15878191,- 0.6284121809 E -8],
--R    [0.22,4.4718835,4.4718834938 782225379,- 0.6121777462 1 E -8],
--R    [0.23,4.2708877,4.2708876730 783907862,- 0.2692160921 4 E -7],
--R    [0.24,4.0863578,4.0863577716 916129493,- 0.2830838705 1 E -7],
--R    [0.25,3.9163174,3.9163173646 45940105,- 0.3535405989 5 E -7],
--R    [0.26,3.7590941,3.7590940700 170597097,- 0.2998294029 03 E -7],
--R    [0.27,3.6132632,3.6132632445 954451122,0.4459544511 22 E -7],
--R    [0.28,3.4776037,3.4776037446 826739597,0.4468267395 97 E -7],
--R    [0.29,3.3510628,3.3510628398 201367735,0.3982013677 35 E -7],
--R    [0.3,3.2327281,3.2327281437 658275137,0.4376582751 37 E -7],
--R    [0.31,3.121805,3.1218049781 792418003,- 0.2182075819 97 E -7],
--R    [0.32,3.017598,3.0175979806 093983387,- 0.1939060166 13 E -7],
--R    [0.33,2.9194961,2.9194960564 791734711,- 0.4352082652 89 E -7],
--R    [0.34,2.82696,2.8269599865 960316187,- 0.1340396838 1 E -7],
--R    [0.35,2.7395122,2.7395121590 837832657,- 0.4091621673 43 E -7],
--R    [0.36,2.656728,2.6567280126 534137138,0.1265341371 4 E -7],
--R    [0.37,2.5782289,2.5782288674 460399215,- 0.3255396007 85 E -7],
--R    [0.38,2.5036759,2.5036758878 425107672,- 0.1215748923 3 E -7],
--R    [0.39,2.432765,2.4327649740 660567805,- 0.2593394321 95 E -7],

--R    [0.4,2.3652224,2.3652224200 39110587,0.2003911058 7 E -7],
--R    [0.41,2.3008012,2.3008012066 70318891,0.6670318891 E -8],
--R    [0.42,2.2392778,2.2392778246 666163969,0.2466661639 69 E -7],
--R    [0.43,2.1804495,2.1804495406 685083798,0.4066850837 98 E -7],
--R    [0.44,2.124132,2.1241320361 797692227,0.3617976922 27 E -7],
--R    [0.45,2.0701574,2.0701573613 012126215,- 0.3869878737 85 E -7],
--R    [0.46,2.0183722,2.0183721553 634627578,- 0.4463653724 22 E -7],
--R    [0.47,1.9686361,1.9686360947 077066311,- 0.5292293368 9 E -8],
--R    [0.48,1.9208205,1.9208205344 885739853,0.3448857398 53 E -7],
--R    [0.49,1.8748073,1.8748073167 815901303,0.1678159013 03 E -7],
--R    [0.5,1.83048772,1.8304877217 124519193,0.1712451919 3 E -8],
--R    [0.51,1.78776154,1.7877615419 775693505,0.1977569350 5 E -8],
--R    [0.52,1.74653626,1.7465362641 453971653,0.4145397165 3 E -8],
--R    [0.53,1.70672634,1.7067263426 353184999,0.2635318499 9 E -8],
--R    [0.54,1.66825255,1.6682525543 602072732,0.4360207273 2 E -8],
--R    [0.55,1.63104142,1.6310414237 662644566,0.3766264456 6 E -8],
--R    [0.56,1.59502471,1.5950247094 703485723,- 0.5296514276 E -9],
--R    [0.57,1.56013894,1.5601389449 30073432,0.4930073431 9 E -8],
--R    [0.58,1.52632503,1.5263250266 253525611,- 0.3374647438 9 E -8],
--R    [0.59,1.49352784,1.4935278441 14312362,0.4114312362 E -8],
--R    [0.6,1.46169595,1.4616959470 781021403,- 0.2921897859 7 E -8],
--R    [0.61,1.43078125,1.4307812451 098423602,- 0.4890157639 8 E -8],
--R    [0.62,1.40073873,1.4007387365 5065882,0.655065882 E -8],
--R    [0.63,1.37152626,1.3715262631 452128637,0.3145212863 7 E -8],
--R    [0.64,1.34310429,1.3431042876 925818576,- 0.2307418142 4 E -8],
--R    [0.65,1.31543569,1.3154356922 15926629,0.2215926629 E -8],
--R    [0.66,1.28848559,1.2884855944 745672615,0.4474567261 5 E -8],
--R    [0.67,1.26222118,1.2622211809 019498574,0.9019498574 E -9],
--R    [0.68,1.23661155,1.2366115542 784545265,0.4278454526 5 E -8],
--R    [0.69,1.21162759,1.2116275946 440535197,0.4644053519 7 E -8],
--R    [0.7,1.18724183,1.1872418321 266793537,0.2126679353 7 E -8],
--R    [0.71,1.16342833,1.1634283305 113563708,0.5113563708 E -9],
--R    [0.72,1.14016258,1.1401625805 056933781,0.5056933781 E -9],
--R    [0.73,1.1174214,1.1174214017 717845341,0.1771784534 1 E -8],
--R    [0.74,1.09518285,1.0951828528 950954346,0.2895095434 6 E -8],
--R    [0.75,1.07342615,1.0734261485 493773587,- 0.1450622641 3 E -8],
--R    [0.76,1.05213158,1.0521315831 946421944,0.3194642194 4 E -8],
--R    [0.77,1.03128046,1.0312804607 141042446,0.7141042446 E -9],
--R    [0.78,1.01085503,1.0108550294 569216086,- 0.5430783914 E -9],
--R    [0.79,0.99083842,0.9908384222 0755510722,0.2207555107 2 E -8],
--R    [0.8,0.9712146,0.9712146006 5047441252,0.6504744125 2 E -9],
--R    [0.81,0.9519683,0.9519683039 4152897039,0.3941528970 39 E -8],
--R    [0.82,0.933085,0.9330850010 3521469901,0.1035214699 E -8],
--R    [0.83,0.91455085,0.9145508464 5086948692,- 0.3549130513 1 E -8],
--R    [0.84,0.89635264,0.8963526391 9101064443,- 0.8089893555 7 E -9],
--R    [0.85,0.87847778,0.8784777845 5201177212,0.4552011772 12 E -8],
--R    [0.86,0.86091426,0.8609142585 9147659674,- 0.1408523403 3 E -8],
--R    [0.87,0.84365058,0.8436505750 3832779908,- 0.4961672200 92 E -8],
--R    [0.88,0.82667575,0.8266757544 5107375391,0.4451073753 91 E -8],
--R    [0.89,0.8099793,0.8099792954 4719434615,- 0.4552805653 85 E -8],

--R    [0.9,0.79355115,0.7935511478 423171255,- 0.2157682874 5 E -8],
--R    [0.91,0.77738169,0.7773816875 5202909939,- 0.2447970900 6 E -8],
--R    [0.92,0.76146169,0.7614616931 2195656768,0.3121956567 7 E -8],
--R    [0.93,0.74578232,0.7457823237 6329468591,0.3763294685 91 E -8],
--R    [0.94,0.7303351,0.7303350987 8141157551,- 0.1218588424 5 E -8],
--R    [0.95,0.71511188,0.7151118782 9460519926,- 0.1705394800 7 E -8],
--R    [0.96,0.70010485,0.7001048451 4865796784,- 0.4851342032 16 E -8],
--R    [0.97,0.68530649,0.6853064879 4060552823,- 0.2059394471 8 E -8],
--R    [0.98,0.67070959,0.6707095850 721935367,- 0.4927806463 3 E -8],
--R    [0.99,0.65630719,0.6563071897 5991155454,- 0.2400884455 E -9],
--R    [1.0,0.64209262,0.6420926159 3433070301,- 0.4065669296 99 E -8],
--R    [1.01,0.62805942,0.6280594249 6678856739,0.4966788567 39 E -8],
--R    [1.02,0.61420141,0.6142014131 6631206854,0.3166312068 5 E -8],
--R    [1.03,0.6005126,0.6005125999 9409219665,- 0.590780335 E -11],
--R    [1.04,0.58698722,0.5869872169 4686437526,- 0.3053135624 7 E -8],
--R    [1.05,0.5736197,0.5736196970 6424127541,- 0.2935758724 6 E -8],
--R    [1.06,0.56040467,0.5604046650 184238209,- 0.4981576179 09 E -8],
--R    [1.07,0.54733693,0.5473369277 478102494,- 0.2252189750 6 E -8],
--R    [1.08,0.53441147,0.5344114655 9885875935,- 0.4401141240 65 E -8],
--R    [1.09,0.52162342,0.5216234239 4316016472,0.3943160164 72 E -8],
--R    [1.1,0.50896811,0.5089681052 3906440719,- 0.4760935592 81 E -8],
--R    [1.11,0.49644096,0.4964409615 0939793968,0.1509397939 7 E -8],
--R    [1.12,0.48403759,0.4840375872 0882520651,- 0.2791174793 49 E -8],
--R    [1.13,0.47175371,0.4717537124 562623272,0.2456262327 2 E -8],
--R    [1.14,0.4595852,0.4595851966 0945875941,- 0.3390541240 59 E -8],
--R    [1.15,0.44752802,0.4475280221 6043593272,0.2160435932 72 E -8],
--R    [1.16,0.43557829,0.4355782889 3192216044,- 0.1068077839 6 E -8],
--R    [1.17,0.42373221,0.4237322085 562610121,- 0.1443738987 9 E -8],
--R    [1.18,0.4119861,0.4119860992 1950525045,- 0.7804947495 5 E -9],
--R    [1.19,0.40033638,0.4003363806 5454900775,0.6545490077 5 E -9],
--R    [1.2,0.38877957,0.3887795693 6820491163,- 0.6317950883 7 E -9],
--R    [1.21,0.37731227,0.3773122740 8810747104,0.4088107471 05 E -8],
--R    [1.22,0.36593119,0.3659311914 1622565487,0.1416225654 9 E -8],
--R    [1.23,0.3546331,0.3546331016 7660211852,0.1676602118 5 E -8],
--R    [1.24,0.34341486,0.3434148649 4570930705,0.4945709307 05 E -8],
--R    [1.25,0.33227342,0.3322734172 5452856774,- 0.2745471432 26 E -8],
--R    [1.26,0.32120577,0.3212057669 5212188699,- 0.3047878113 01 E -8],
--R    [1.27,0.31020899,0.3102089912 2108098744,0.1221080987 4 E -8],
--R    [1.28,0.29928023,0.2992802327 358089858,0.2735808985 8 E -8],
--R    [1.29,0.2884167,0.2884166964 5511900872,- 0.3544880991 28 E -8],
--R    [1.3,0.27761565,0.2776156465 411251863,- 0.3458874813 7 E -8],
--R    [1.31,0.2668744,0.2668744033 9685712292,0.3396857122 92 E -8],
--R    [1.32,0.25619034,0.2561903408 1545187187,0.8154518718 7 E -9],
--R    [1.33,0.24556088,0.2455608832 341699844,0.3234169984 4 E -8],
--R    [1.34,0.2349835,0.2349835030 8684653553,0.3086846535 53 E -8],
--R    [1.35,0.22445572,0.2244557182 4872613589,- 0.1751273864 11 E -8],
--R    [1.36,0.21397509,0.2139750895 6794464051,- 0.4320553594 9 E -9],
--R    [1.37,0.20353922,0.2035392184 7821123118,- 0.1521788768 82 E -8],
--R    [1.38,0.19314574,0.1931457446 8751430396,0.4687514303 96 E -8],
--R    [1.39,0.18279234,0.1827923439 3792453991,0.3937924539 91 E -8],

--R    [1.4,0.17247673,0.1724767258 3179995277,- 0.4168200047 23 E -8],
--R    [1.41,0.16219663,0.1621966317 1991176955,0.1719911769 56 E -8],
--R    [1.42,0.15194983,0.1519498326 4720777741,0.2647207777 41 E -8],
--R    [1.43,0.14173413,0.1417341273 5211224764,- 0.2647887752 36 E -8],
--R    [1.44,0.13154734,0.1315473403 1542961869,0.3154296186 9 E -9],
--R    [1.45,0.12138732,0.1213873198 5507360359,- 0.1449263964 1 E -9],
--R    [1.46,0.11125194,0.1112519362 6298502613,- 0.3737014973 87 E -8],
--R    [1.47,0.10113908,0.1011390799 8073116239,- 0.1926883761 E -10],
--R    [1.48,0.09104666,0.0910466598 1039728128,- 0.1896027187 2 E -9],
--R    [1.49,0.080972601,0.0809726011 5748799537,0.1574879953 7 E -9],
--R    [1.5,0.070914844,0.0709148443 0265244878 9,0.3026524487 9 E -9],
--R    [1.51,0.060871343,0.0608713426 9913372964 9,- 0.3008662703 51 E -9],
--R    [1.52,0.050840061,0.0508400612 9291959823 6,0.2929195982 36 E -9],
--R    [1.53,0.040818975,0.0408189748 6263901912 7,- 0.1373609808 7 E -9],
--R    [1.54,0.030806066,0.0308060663 7630738330 6,0.3763073833 07 E -9],
--R    [1.55,0.020799325,0.0207993253 6207296975 6,0.3620729697 56 E -9],
--R    [1.56,0.010796746,0.0107967462 901583485,0.2901583485 E -9],
--R    [1.57,0.000796327,0.0007963269 6322325475 679,- 0.3677674524 32 E -10],
--R    [1.58,- 0.009203933,- 0.0092039330 8759988693 76,- 0.8759988693 75 E -10],
--R    [1.59,- 0.019206034,- 0.0192060342 0373002777 9,- 0.2037300277 79 E -9],
--R    [1.6,- 0.029211978,- 0.0292119781 9994480011 4,- 0.1999448001 14 E -9]]
--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