$SPAD/src/input gamma.input

Timothy Daly December 3, 2016

Abstract

This is a set of tests for the Gamma and polygamma functions as well as a set of graphics that illustrate these curves.

Contents

In the following table there are 4 columns. The first column is the argument of Gamma, ranging from 1.000 to 1.995. The second column is the reference value of Gamma from the book Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp267-270

— * —

)set break resume
)spool gamma.output
)set message test on
)set message auto off
)clear all

———-

1 Gamma 1.000 to 1.995 by 0.005

— * —

--S 1 of 12
[[1.000,1.0000000000,Gamma(1.000),Gamma(1.000)-1.0000000000],_
[1.005,0.9971385354,Gamma(1.005),Gamma(1.005)-0.9971385354],_
[1.010,0.9943258512,Gamma(1.010),Gamma(1.010)-0.9943258512],_
[1.015,0.9915612888,Gamma(1.015),Gamma(1.015)-0.9915612888],_
[1.020,0.9888442033,Gamma(1.020),Gamma(1.020)-0.9888442033],_
[1.025,0.9861739633,Gamma(1.025),Gamma(1.025)-0.9861739633],_
[1.030,0.9835499506,Gamma(1.030),Gamma(1.030)-0.9835499506],_
[1.035,0.9809715606,Gamma(1.035),Gamma(1.035)-0.9809715606],_
[1.040,0.9784382009,Gamma(1.040),Gamma(1.040)-0.9784382009],_
[1.045,0.9759492919,Gamma(1.045),Gamma(1.045)-0.9759492919],_
[1.050,0.9735042656,Gamma(1.050),Gamma(1.050)-0.9735042656],_
[1.055,0.9711025663,Gamma(1.055),Gamma(1.055)-0.9711025663],_
[1.060,0.9687436495,Gamma(1.060),Gamma(1.060)-0.9687436495],_
[1.065,0.9664269823,Gamma(1.065),Gamma(1.065)-0.9664269823],_
[1.070,0.9641520425,Gamma(1.070),Gamma(1.070)-0.9641520425],_
[1.075,0.9619183189,Gamma(1.075),Gamma(1.075)-0.9619183189],_
[1.080,0.9597253107,Gamma(1.080),Gamma(1.080)-0.9597253107],_
[1.085,0.9575725273,Gamma(1.085),Gamma(1.085)-0.9575725273],_
[1.090,0.9554594882,Gamma(1.090),Gamma(1.090)-0.9554594882],_
[1.095,0.9533857227,Gamma(1.095),Gamma(1.095)-0.9533857227],_
[1.100,0.9513507699,Gamma(1.100),Gamma(1.100)-0.9513507699],_
[1.105,0.9493541778,Gamma(1.105),Gamma(1.105)-0.9493541778],_
[1.110,0.9473955040,Gamma(1.110),Gamma(1.110)-0.9473955040],_
[1.115,0.9454743149,Gamma(1.115),Gamma(1.115)-0.9454743149],_
[1.120,0.9435901856,Gamma(1.120),Gamma(1.120)-0.9435901856],_

[1.125,0.9417426997,Gamma(1.125),Gamma(1.125)-0.9417426997],_
[1.130,0.9399314497,Gamma(1.130),Gamma(1.130)-0.9399314497],_
[1.135,0.9381560356,Gamma(1.135),Gamma(1.135)-0.9381560356],_
[1.140,0.9364160657,Gamma(1.140),Gamma(1.140)-0.9364160657],_
[1.145,0.9347111562,Gamma(1.145),Gamma(1.145)-0.9347111562],_
[1.150,0.9330409311,Gamma(1.150),Gamma(1.150)-0.9330409311],_
[1.155,0.9314050217,Gamma(1.155),Gamma(1.155)-0.9314050217],_
[1.160,0.9298030666,Gamma(1.160),Gamma(1.160)-0.9298030666],_
[1.165,0.9282347120,Gamma(1.165),Gamma(1.165)-0.9282347120],_
[1.170,0.9266996106,Gamma(1.170),Gamma(1.170)-0.9266996106],_
[1.175,0.9251974225,Gamma(1.175),Gamma(1.175)-0.9251974225],_
[1.180,0.9237278143,Gamma(1.180),Gamma(1.180)-0.9237278143],_
[1.185,0.9222904591,Gamma(1.185),Gamma(1.185)-0.9222904591],_
[1.190,0.9208850371,Gamma(1.190),Gamma(1.190)-0.9208850371],_
[1.195,0.9195112341,Gamma(1.195),Gamma(1.195)-0.9195112341],_
[1.200,0.9181687424,Gamma(1.200),Gamma(1.200)-0.9181687424],_
[1.205,0.9168572606,Gamma(1.205),Gamma(1.205)-0.9168572606],_
[1.210,0.9155764930,Gamma(1.210),Gamma(1.210)-0.9155764930],_
[1.215,0.9143261500,Gamma(1.215),Gamma(1.215)-0.9143261500],_
[1.220,0.9131059475,Gamma(1.220),Gamma(1.220)-0.9131059475],_
[1.225,0.9119156071,Gamma(1.225),Gamma(1.225)-0.9119156071],_
[1.230,0.9107548564,Gamma(1.230),Gamma(1.230)-0.9107548564],_
[1.235,0.9096234274,Gamma(1.235),Gamma(1.235)-0.9096234274],_
[1.240,0.9085210583,Gamma(1.240),Gamma(1.240)-0.9085210583],_
[1.245,0.9074474922,Gamma(1.245),Gamma(1.245)-0.9074474922],_
[1.250,0.9064024771,Gamma(1.250),Gamma(1.250)-0.9064024771],_
[1.255,0.9053857663,Gamma(1.255),Gamma(1.255)-0.9053857663],_
[1.260,0.9043971178,Gamma(1.260),Gamma(1.260)-0.9043971178],_
[1.265,0.9034362946,Gamma(1.265),Gamma(1.265)-0.9034362946],_
[1.270,0.9025030645,Gamma(1.270),Gamma(1.270)-0.9025030645],_
[1.275,0.9015971994,Gamma(1.275),Gamma(1.275)-0.9015971994],_
[1.280,0.9007184765,Gamma(1.280),Gamma(1.280)-0.9007184765],_
[1.285,0.8998666769,Gamma(1.285),Gamma(1.285)-0.8998666769],_
[1.290,0.8990415863,Gamma(1.290),Gamma(1.290)-0.8990415863],_
[1.295,0.8982429947,Gamma(1.295),Gamma(1.295)-0.8982429947],_
[1.300,0.8974706963,Gamma(1.300),Gamma(1.300)-0.8974706963],_
[1.305,0.8967244895,Gamma(1.305),Gamma(1.305)-0.8967244895],_
[1.310,0.8960041767,Gamma(1.310),Gamma(1.310)-0.8960041767],_
[1.315,0.8953095644,Gamma(1.315),Gamma(1.315)-0.8953095644],_
[1.320,0.8946404630,Gamma(1.320),Gamma(1.320)-0.8946404630],_
[1.325,0.8939966866,Gamma(1.325),Gamma(1.325)-0.8939966866],_
[1.330,0.8933780535,Gamma(1.330),Gamma(1.330)-0.8933780535],_
[1.335,0.8927843850,Gamma(1.335),Gamma(1.335)-0.8927843850],_
[1.340,0.8922155072,Gamma(1.340),Gamma(1.340)-0.8922155072],_
[1.345,0.8916712485,Gamma(1.345),Gamma(1.345)-0.8916712485],_
[1.350,0.8911514420,Gamma(1.350),Gamma(1.350)-0.8911514420],_
[1.355,0.8906559235,Gamma(1.355),Gamma(1.355)-0.8906559235],_
[1.360,0.8901845324,Gamma(1.360),Gamma(1.360)-0.8901845324],_
[1.365,0.8897371116,Gamma(1.365),Gamma(1.365)-0.8897371116],_
[1.370,0.8893135074,Gamma(1.370),Gamma(1.370)-0.8893135074],_

[1.375,0.8889135692,Gamma(1.375),Gamma(1.375)-0.8889135692],_
[1.380,0.8885371494,Gamma(1.380),Gamma(1.380)-0.8885371494],_
[1.385,0.8881841041,Gamma(1.385),Gamma(1.385)-0.8881841041],_
[1.390,0.8878542918,Gamma(1.390),Gamma(1.390)-0.8878542918],_
[1.395,0.8875475748,Gamma(1.395),Gamma(1.395)-0.8875475748],_
[1.400,0.8872638175,Gamma(1.400),Gamma(1.400)-0.8872638175],_
[1.405,0.8870028884,Gamma(1.405),Gamma(1.405)-0.8870028884],_
[1.410,0.8867646576,Gamma(1.410),Gamma(1.410)-0.8867646576],_
[1.415,0.8865489993,Gamma(1.415),Gamma(1.415)-0.8865489993],_
[1.420,0.8863557896,Gamma(1.420),Gamma(1.420)-0.8863557896],_
[1.425,0.8861849081,Gamma(1.425),Gamma(1.425)-0.8861849081],_
[1.430,0.8860362361,Gamma(1.430),Gamma(1.430)-0.8860362361],_
[1.435,0.8859096587,Gamma(1.435),Gamma(1.435)-0.8859096587],_
[1.440,0.8858050635,Gamma(1.440),Gamma(1.440)-0.8858050635],_
[1.445,0.8857223397,Gamma(1.445),Gamma(1.445)-0.8857223397],_
[1.450,0.8856613803,Gamma(1.450),Gamma(1.450)-0.8856613803],_
[1.455,0.8856220800,Gamma(1.455),Gamma(1.455)-0.8856220800],_
[1.460,0.8856043364,Gamma(1.460),Gamma(1.460)-0.8856043364],_
[1.465,0.8856080495,Gamma(1.465),Gamma(1.465)-0.8856080495],_
[1.470,0.8856331217,Gamma(1.470),Gamma(1.470)-0.8856331217],_
[1.475,0.8856794575,Gamma(1.475),Gamma(1.475)-0.8856794575],_
[1.480,0.8857469646,Gamma(1.480),Gamma(1.480)-0.8857469646],_
[1.485,0.8858355520,Gamma(1.485),Gamma(1.485)-0.8858355520],_
[1.490,0.8859451316,Gamma(1.490),Gamma(1.490)-0.8859451316],_
[1.495,0.8860756174,Gamma(1.495),Gamma(1.495)-0.8860756174],_
[1.500,0.8862269255,Gamma(1.500),Gamma(1.500)-0.8862269255],_
[1.505,0.8863989744,Gamma(1.505),Gamma(1.505)-0.8863989744],_
[1.510,0.8865916850,Gamma(1.510),Gamma(1.510)-0.8865916850],_
[1.515,0.8868049797,Gamma(1.515),Gamma(1.515)-0.8868049797],_
[1.520,0.8870387833,Gamma(1.520),Gamma(1.520)-0.8870387833],_
[1.525,0.8872930231,Gamma(1.525),Gamma(1.525)-0.8872930231],_
[1.530,0.8875676278,Gamma(1.530),Gamma(1.530)-0.8875676278],_
[1.535,0.8878625287,Gamma(1.535),Gamma(1.535)-0.8878625287],_
[1.540,0.8881776586,Gamma(1.540),Gamma(1.540)-0.8881776586],_
[1.545,0.8885129527,Gamma(1.545),Gamma(1.545)-0.8885129527],_
[1.550,0.8888683478,Gamma(1.550),Gamma(1.550)-0.8888683478],_
[1.555,0.8892437830,Gamma(1.555),Gamma(1.555)-0.8892437830],_
[1.560,0.8896391990,Gamma(1.560),Gamma(1.560)-0.8896391990],_
[1.565,0.8900545387,Gamma(1.565),Gamma(1.565)-0.8900545387],_
[1.570,0.8904897463,Gamma(1.570),Gamma(1.570)-0.8904897463],_
[1.575,0.8909447686,Gamma(1.575),Gamma(1.575)-0.8909447686],_
[1.580,0.8914195537,Gamma(1.580),Gamma(1.580)-0.8914195537],_
[1.585,0.8919140515,Gamma(1.585),Gamma(1.585)-0.8919140515],_
[1.590,0.8924282141,Gamma(1.590),Gamma(1.590)-0.8924282141],_
[1.595,0.8929619949,Gamma(1.595),Gamma(1.595)-0.8929619949],_
[1.600,0.8935153493,Gamma(1.600),Gamma(1.600)-0.8935153493],_
[1.605,0.8940882342,Gamma(1.605),Gamma(1.605)-0.8940882342],_
[1.610,0.8946806085,Gamma(1.610),Gamma(1.610)-0.8946806085],_
[1.615,0.8952924327,Gamma(1.615),Gamma(1.615)-0.8952924327],_
[1.620,0.8959236685,Gamma(1.620),Gamma(1.620)-0.8959236685],_

[1.625,0.8965742800,Gamma(1.625),Gamma(1.625)-0.8965742800],_
[1.630,0.8972442326,Gamma(1.630),Gamma(1.630)-0.8972442326],_
[1.635,0.8979334930,Gamma(1.635),Gamma(1.635)-0.8979334930],_
[1.640,0.8986420302,Gamma(1.640),Gamma(1.640)-0.8986420302],_
[1.645,0.8993698138,Gamma(1.645),Gamma(1.645)-0.8993698138],_
[1.650,0.9001168163,Gamma(1.650),Gamma(1.650)-0.9001168163],_
[1.655,0.9008830104,Gamma(1.655),Gamma(1.655)-0.9008830104],_
[1.660,0.9016683712,Gamma(1.660),Gamma(1.660)-0.9016683712],_
[1.665,0.9024728748,Gamma(1.665),Gamma(1.665)-0.9024728748],_
[1.670,0.9032964995,Gamma(1.670),Gamma(1.670)-0.9032964995],_
[1.675,0.9041392243,Gamma(1.675),Gamma(1.675)-0.9041392243],_
[1.680,0.9050010302,Gamma(1.680),Gamma(1.680)-0.9050010302],_
[1.685,0.9058818996,Gamma(1.685),Gamma(1.685)-0.9058818996],_
[1.690,0.9067818160,Gamma(1.690),Gamma(1.690)-0.9067818160],_
[1.695,0.9077007650,Gamma(1.695),Gamma(1.695)-0.9077007650],_
[1.700,0.9086387329,Gamma(1.700),Gamma(1.700)-0.9086387329],_
[1.705,0.9095957079,Gamma(1.705),Gamma(1.705)-0.9095957079],_
[1.710,0.9105716796,Gamma(1.710),Gamma(1.710)-0.9105716796],_
[1.715,0.9115666390,Gamma(1.715),Gamma(1.715)-0.9115666390],_
[1.720,0.9125805779,Gamma(1.720),Gamma(1.720)-0.9125805779],_
[1.725,0.9136134904,Gamma(1.725),Gamma(1.725)-0.9136134904],_
[1.730,0.9146653712,Gamma(1.730),Gamma(1.730)-0.9146653712],_
[1.735,0.9157362171,Gamma(1.735),Gamma(1.735)-0.9157362171],_
[1.740,0.9168260252,Gamma(1.740),Gamma(1.740)-0.9168260252],_
[1.745,0.9179347950,Gamma(1.745),Gamma(1.745)-0.9179347950],_
[1.750,0.9190625268,Gamma(1.750),Gamma(1.750)-0.9190625268],_
[1.755,0.9202092224,Gamma(1.755),Gamma(1.755)-0.9202092224],_
[1.760,0.9213748846,Gamma(1.760),Gamma(1.760)-0.9213748846],_
[1.765,0.9225595178,Gamma(1.765),Gamma(1.765)-0.9225595178],_
[1.770,0.9237631277,Gamma(1.770),Gamma(1.770)-0.9237631277],_
[1.775,0.9249857211,Gamma(1.775),Gamma(1.775)-0.9249857211],_
[1.780,0.9262273062,Gamma(1.780),Gamma(1.780)-0.9262273062],_
[1.785,0.9274878926,Gamma(1.785),Gamma(1.785)-0.9274878926],_
[1.790,0.9287674904,Gamma(1.790),Gamma(1.790)-0.9287674904],_
[1.795,0.9300661123,Gamma(1.795),Gamma(1.795)-0.9300661123],_
[1.800,0.9313837710,Gamma(1.800),Gamma(1.800)-0.9313837710],_
[1.805,0.9327204811,Gamma(1.805),Gamma(1.805)-0.9327204811],_
[1.810,0.9340762585,Gamma(1.810),Gamma(1.810)-0.9340762585],_
[1.815,0.9354511198,Gamma(1.815),Gamma(1.815)-0.9354511198],_
[1.820,0.9368450832,Gamma(1.820),Gamma(1.820)-0.9368450832],_
[1.825,0.9382581682,Gamma(1.825),Gamma(1.825)-0.9382581682],_
[1.830,0.9396903951,Gamma(1.830),Gamma(1.830)-0.9396903951],_
[1.835,0.9411417859,Gamma(1.835),Gamma(1.835)-0.9411417859],_
[1.840,0.9426123634,Gamma(1.840),Gamma(1.840)-0.9426123634],_
[1.845,0.9441021519,Gamma(1.845),Gamma(1.845)-0.9441021519],_
[1.850,0.9456111764,Gamma(1.850),Gamma(1.850)-0.9456111764],_
[1.855,0.9471394637,Gamma(1.855),Gamma(1.855)-0.9471394637],_
[1.860,0.9486870417,Gamma(1.860),Gamma(1.860)-0.9486870417],_
[1.865,0.9502539389,Gamma(1.865),Gamma(1.865)-0.9502539389],_
[1.870,0.9518401855,Gamma(1.870),Gamma(1.870)-0.9518401855],_

[1.875,0.9534458127,Gamma(1.875),Gamma(1.875)-0.9534458127],_
[1.880,0.9550708530,Gamma(1.880),Gamma(1.880)-0.9550708530],_
[1.885,0.9567153398,Gamma(1.885),Gamma(1.885)-0.9567153398],_
[1.890,0.9583793077,Gamma(1.890),Gamma(1.890)-0.9583793077],_
[1.895,0.9600627927,Gamma(1.895),Gamma(1.895)-0.9600627927],_
[1.900,0.9617658319,Gamma(1.900),Gamma(1.900)-0.9617658319],_
[1.905,0.9634884632,Gamma(1.905),Gamma(1.905)-0.9634884632],_
[1.910,0.9652307261,Gamma(1.910),Gamma(1.910)-0.9652307261],_
[1.915,0.9669926608,Gamma(1.915),Gamma(1.915)-0.9669926608],_
[1.920,0.9687743090,Gamma(1.920),Gamma(1.920)-0.9687743090],_
[1.925,0.9705757134,Gamma(1.925),Gamma(1.925)-0.9705757134],_
[1.930,0.9723969178,Gamma(1.930),Gamma(1.930)-0.9723969178],_
[1.935,0.9742379672,Gamma(1.935),Gamma(1.935)-0.9742379672],_
[1.940,0.9760989075,Gamma(1.940),Gamma(1.940)-0.9760989075],_
[1.945,0.9779797861,Gamma(1.945),Gamma(1.945)-0.9779797861],_
[1.950,0.9798806513,Gamma(1.950),Gamma(1.950)-0.9798806513],_
[1.955,0.9818015524,Gamma(1.955),Gamma(1.955)-0.9818015524],_
[1.960,0.9837425404,Gamma(1.960),Gamma(1.960)-0.9837425404],_
[1.965,0.9857036664,Gamma(1.965),Gamma(1.965)-0.9857036664],_
[1.970,0.9876849838,Gamma(1.970),Gamma(1.970)-0.9876849838],_
[1.975,0.9896865462,Gamma(1.975),Gamma(1.975)-0.9896865462],_
[1.980,0.9917084087,Gamma(1.980),Gamma(1.980)-0.9917084087],_
[1.985,0.9937506274,Gamma(1.985),Gamma(1.985)-0.9937506274],_
[1.990,0.9958132598,Gamma(1.990),Gamma(1.990)-0.9958132598],_
[1.995,0.9978963643,Gamma(1.995),Gamma(1.995)-0.9978963643]]
--R
--R
--R   (1)
--R   [[1.,1.,1.,0.],
--R
--R     [1.0049999999999999, 0.99713853539999997, 0.99713853525101781,
--R      - 1.4898215994207931E-10]
--R     ,
--R
--R     [1.0099999999999998, 0.99432585119999994, 0.99432585119150607,
--R      - 8.4938722721972226E-12]
--R     ,
--R
--R     [1.0149999999999999, 0.99156128880000005, 0.99156128884897066,
--R      4.8970605348586105E-11]
--R     ,
--R    [1.02,0.9888442033,0.98884420326391309,- 3.6086911237021013E-11],
--R
--R     [1.0249999999999999, 0.98617396329999996, 0.98617396314825367,
--R      - 1.5174628220648856E-10]
--R     ,
--R
--R     [1.0299999999999998, 0.98354995059999994, 0.98354995055382399,
--R      - 4.6175951950999661E-11]
--R     ,

--R
--R     [1.0349999999999999, 0.98097156060000001, 0.98097156055058576,
--R      - 4.9414250469226317E-11]
--R     ,
--R    [1.04,0.9784382009,0.97843820091424472,1.4244716517453071E-11],
--R
--R     [1.0449999999999999, 0.9759492918999999, 0.97594929182295154,
--R      - 7.7048367685961239E-11]
--R     ,
--R
--R     [1.0499999999999998, 0.97350426559999992, 0.97350426556277581,
--R      - 3.7224112681144561E-11]
--R     ,
--R
--R     [1.0549999999999999, 0.97110256629999991, 0.97110256624166991,
--R      - 5.8330007490781099E-11]
--R     ,
--R
--R     [1.0600000000000001, 0.96874364949999991, 0.9687436495116386,
--R      1.1638690011750441E-11]
--R     ,
--R
--R     [1.0649999999999999, 0.96642698230000001, 0.96642698229884005,
--R      - 1.1599610161283636E-12]
--R     ,
--R
--R     [1.0699999999999998, 0.96415204249999997, 0.96415204254136666,
--R      4.1366687852928408E-11]
--R     ,
--R    [1.075,0.96191831890000001,0.96191831893444502,3.4445002405902869E-11],
--R
--R     [1.0800000000000001, 0.95972531069999989, 0.95972531068282241,
--R      - 1.7177481659302885E-11]
--R     ,
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--R    [1.825,0.93825816819999996,0.93825816816869001,- 3.1309954628966352E-11],
--R
--R     [1.8300000000000001, 0.93969039509999996, 0.93969039512678099,
--R      2.6781021844612951E-11]
--R     ,
--R    [1.835,0.94114178589999997,0.941141785875659,- 2.4340973681091782E-11],
--R
--R     [1.8399999999999999, 0.94261236339999999, 0.94261236337273757,
--R      - 2.7262414548090419E-11]
--R     ,
--R    [1.845,0.94410215189999991,0.94410215176943868,- 1.3056122849519625E-10],
--R
--R     [1.8500000000000001, 0.94561117639999992, 0.94561117640619552,
--R      6.1955995889206861E-12]
--R     ,
--R    [1.855,0.94713946369999991,0.94713946380763558,1.0763567814819908E-10],
--R
--R     [1.8599999999999999, 0.94868704169999996, 0.94868704167794804,
--R      - 2.2051915848919634E-11]
--R     ,
--R    [1.865,0.95025393889999998,0.95025393889642473,- 3.5752512062003916E-12],
--R

--R     [1.8700000000000001, 0.95184018550000005, 0.95184018551317828,
--R      1.3178236279998146E-11]
--R     ,
--R    [1.875,0.95344581269999995,0.95344581274503493,4.5034975748592387E-11],
--R
--R     [1.8799999999999999, 0.95507085300000005, 0.95507085297159322,
--R      - 2.840683244187403E-11]
--R     ,
--R
--R     [1.8849999999999998, 0.9567153397999999, 0.95671533973145551,
--R      - 6.8544392384239927E-11]
--R     ,
--R
--R     [1.8899999999999999, 0.95837930770000002, 0.95837930771862279,
--R      1.8622769992759913E-11]
--R     ,
--R    [1.895,0.96006279269999995,0.96006279277905426,7.9054318646853972E-11],
--R
--R     [1.8999999999999999, 0.96176583189999998, 0.96176583190738751,
--R      7.3875350281582541E-12]
--R     ,
--R
--R     [1.9049999999999998, 0.96348846320000003, 0.96348846324382031,
--R      4.3820280737350004E-11]
--R     ,
--R
--R     [1.9099999999999999, 0.96523072609999994, 0.96523072607114846,
--R      - 2.8851476763236406E-11]
--R     ,
--R    [1.915,0.9669926607999999,0.96699266081195756,1.1957657086725249E-11],
--R
--R     [1.9199999999999999, 0.96877430899999994, 0.96877430902597383,
--R      2.5973889705710462E-11]
--R     ,
--R
--R     [1.9249999999999998, 0.97057571339999993, 0.97057571340755999,
--R      7.5600636861850035E-12]
--R     ,
--R
--R     [1.9299999999999999, 0.97239691780000004, 0.97239691778336623,
--R      - 1.6633805444143945E-11]
--R     ,
--R
--R     [1.9350000000000001, 0.9742379672, 0.97423796711012756,
--R      - 8.9872442821103959E-11]
--R     ,
--R
--R     [1.9399999999999999, 0.97609890749999995, 0.97609890747260597,
--R      - 2.73939759765085E-11]
--R     ,

--R
--R     [1.9449999999999998, 0.97797978609999991, 0.9779797860816809,
--R      - 1.831901297322247E-11]
--R     ,
--R    [1.95,0.97988065130000002,0.97988065127258051,- 2.7419511106074879E-11],
--R    [1.9550000000000001,0.9818015524,0.98180155250325418,1.032541829815159E-10],
--R    [1.96,0.98374254039999998,0.98374254035288666,- 4.711331325069068E-11],
--R
--R     [1.9649999999999999, 0.98570366639999996, 0.98570366652054975,
--R      1.205497923706389E-10]
--R     ,
--R    [1.97,0.98768498379999992,0.98768498382399139,2.3991475472939783E-11],
--R
--R     [1.9750000000000001, 0.98968654619999996, 0.98968654619855956,
--R      - 1.4404033521486781E-12]
--R     ,
--R    [1.98,0.99170840869999999,0.99170840869626087,- 3.7391201246350647E-12],
--R
--R     [1.9849999999999999, 0.99375062739999998, 0.99375062748495291,
--R      8.4952933576687428E-11]
--R     ,
--R    [1.99,0.99581325980000002,0.995813259847667,4.7666981473071246E-11],
--R
--R     [1.9950000000000001, 0.99789636429999995, 0.99789636418206007,
--R      - 1.1793988008435008E-10]
--R     ]
--R                                                Type: List(List(DoubleFloat))
--E 1

———-

2 Psi

— * —

--S 2 of 12
Psi(x:DFLOAT):DFLOAT==polygamma(0,x)
--R
--R   Function declaration Psi : DoubleFloat -> DoubleFloat has been added
--R      to workspace.
--R                                                                   Type: Void
--E 2

———-

In the following table there are 4 columns. The first column is the argument of Psi, ranging from 1.000 to 1.995. The second column is the reference value of Psi from the book Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp267-270

3 Psi 1.000 to 2.000 by 0.005

— * —

--S 3 of 12
[[1.000, -0.5772156649, Psi(1.000), Psi(1.000)- -0.5772156649],_
[1.005, -0.5690209113, Psi(1.005), Psi(1.005)- -0.5690209113],_
[1.010, -0.5608854579, Psi(1.010), Psi(1.010)- -0.5608854579],_
[1.015, -0.5528085156, Psi(1.015), Psi(1.015)- -0.5528085156],_
[1.020, -0.5447893105, Psi(1.020), Psi(1.020)- -0.5447893105],_
[1.025, -0.5368270828, Psi(1.025), Psi(1.025)- -0.5368270828],_
[1.030, -0.5289210873, Psi(1.030), Psi(1.030)- -0.5289210873],_
[1.035, -0.5210705921, Psi(1.035), Psi(1.035)- -0.5210705921],_
[1.040, -0.5132748789, Psi(1.040), Psi(1.040)- -0.5132748789],_
[1.045, -0.5055332428, Psi(1.045), Psi(1.045)- -0.5055332428],_
[1.050, -0.4978449913, Psi(1.050), Psi(1.050)- -0.4978449913],_
[1.055, -0.4902094448, Psi(1.055), Psi(1.055)- -0.4902094448],_
[1.060, -0.4826259358, Psi(1.060), Psi(1.060)- -0.4826259358],_
[1.065, -0.4750938088, Psi(1.065), Psi(1.065)- -0.4750938088],_
[1.070, -0.4676124199, Psi(1.070), Psi(1.070)- -0.4676124199],_
[1.075, -0.4601811367, Psi(1.075), Psi(1.075)- -0.4601811367],_
[1.080, -0.4527993380, Psi(1.080), Psi(1.080)- -0.4527993380],_
[1.085, -0.4454664135, Psi(1.085), Psi(1.085)- -0.4454664135],_
[1.090, -0.4381817635, Psi(1.090), Psi(1.090)- -0.4381817635],_
[1.095, -0.4309447988, Psi(1.095), Psi(1.095)- -0.4309447988],_
[1.100, -0.4237549404, Psi(1.100), Psi(1.100)- -0.4237549404],_
[1.105, -0.4166116193, Psi(1.105), Psi(1.105)- -0.4166116193],_
[1.110, -0.4095142761, Psi(1.110), Psi(1.110)- -0.4095142761],_
[1.115, -0.4024623611, Psi(1.115), Psi(1.115)- -0.4024623611],_
[1.120, -0.3954553339, Psi(1.120), Psi(1.120)- -0.3954553339],_
[1.125, -0.3884926633, Psi(1.125), Psi(1.125)- -0.3884926633],_
[1.130, -0.3815738268, Psi(1.130), Psi(1.130)- -0.3815738268],_
[1.135, -0.3746983110, Psi(1.135), Psi(1.135)- -0.3746983110],_
[1.140, -0.3678656106, Psi(1.140), Psi(1.140)- -0.3678656106],_
[1.145, -0.3610752291, Psi(1.145), Psi(1.145)- -0.3610752291],_
[1.150, -0.3543266780, Psi(1.150), Psi(1.150)- -0.3543266780],_
[1.155, -0.3476194768, Psi(1.155), Psi(1.155)- -0.3476194768],_
[1.160, -0.3409531528, Psi(1.160), Psi(1.160)- -0.3409531528],_
[1.165, -0.3343272413, Psi(1.165), Psi(1.165)- -0.3343272413],_
[1.170, -0.3277412847, Psi(1.170), Psi(1.170)- -0.3277412847],_
[1.175, -0.3211948332, Psi(1.175), Psi(1.175)- -0.3211948332],_
[1.180, -0.3146874438, Psi(1.180), Psi(1.180)- -0.3146874438],_
[1.185, -0.3082186809, Psi(1.185), Psi(1.185)- -0.3082186809],_
[1.190, -0.3017881156, Psi(1.190), Psi(1.190)- -0.3017881156],_
[1.195, -0.2953953259, Psi(1.195), Psi(1.195)- -0.2953953259],_
[1.200, -0.2890398966, Psi(1.200), Psi(1.200)- -0.2890398966],_
[1.205, -0.2827214187, Psi(1.205), Psi(1.205)- -0.2827214187],_
[1.210, -0.2764394897, Psi(1.210), Psi(1.210)- -0.2764394897],_

[1.215, -0.2701937135, Psi(1.215), Psi(1.215)- -0.2701937135],_
[1.220, -0.2639837000, Psi(1.220), Psi(1.220)- -0.2639837000],_
[1.225, -0.2578090652, Psi(1.225), Psi(1.225)- -0.2578090652],_
[1.230, -0.2516694307, Psi(1.230), Psi(1.230)- -0.2516694307],_
[1.235, -0.2455644243, Psi(1.235), Psi(1.235)- -0.2455644243],_
[1.240, -0.2394936791, Psi(1.240), Psi(1.240)- -0.2394936791],_
[1.245, -0.2334568341, Psi(1.245), Psi(1.245)- -0.2334568341],_
[1.250, -0.2274535334, Psi(1.250), Psi(1.250)- -0.2274535334],_
[1.255, -0.2214834266, Psi(1.255), Psi(1.255)- -0.2214834266],_
[1.260, -0.2155461686, Psi(1.260), Psi(1.260)- -0.2155461686],_
[1.265, -0.2096414193, Psi(1.265), Psi(1.265)- -0.2096414193],_
[1.270, -0.2037688437, Psi(1.270), Psi(1.270)- -0.2037688437],_
[1.275, -0.1979281118, Psi(1.275), Psi(1.275)- -0.1979281118],_
[1.280, -0.1921188983, Psi(1.280), Psi(1.280)- -0.1921188983],_
[1.285, -0.1863408828, Psi(1.285), Psi(1.285)- -0.1863408828],_
[1.290, -0.1805937494, Psi(1.290), Psi(1.290)- -0.1805937494],_
[1.295, -0.1748771870, Psi(1.295), Psi(1.295)- -0.1748771870],_
[1.300, -0.1691908889, Psi(1.300), Psi(1.300)- -0.1691908889],_
[1.305, -0.1635345526, Psi(1.305), Psi(1.305)- -0.1635345526],_
[1.310, -0.1579078803, Psi(1.310), Psi(1.310)- -0.1579078803],_
[1.315, -0.1523105782, Psi(1.315), Psi(1.315)- -0.1523105782],_
[1.320, -0.1467423568, Psi(1.320), Psi(1.320)- -0.1467423568],_
[1.325, -0.1412029305, Psi(1.325), Psi(1.325)- -0.1412029305],_
[1.330, -0.1356920180, Psi(1.330), Psi(1.330)- -0.1356920180],_
[1.335, -0.1302093416, Psi(1.335), Psi(1.335)- -0.1302093416],_
[1.340, -0.1247546279, Psi(1.340), Psi(1.340)- -0.1247546279],_
[1.345, -0.1193276069, Psi(1.345), Psi(1.345)- -0.1193276069],_
[1.350, -0.1139280127, Psi(1.350), Psi(1.350)- -0.1139280127],_
[1.355, -0.1085555827, Psi(1.355), Psi(1.355)- -0.1085555827],_
[1.360, -0.1032100582, Psi(1.360), Psi(1.360)- -0.1032100582],_
[1.365, -0.0978911840, Psi(1.365), Psi(1.365)- -0.0978911840],_
[1.370, -0.0925987082, Psi(1.370), Psi(1.370)- -0.0925987082],_
[1.375, -0.0873323825, Psi(1.375), Psi(1.375)- -0.0873323825],_
[1.380, -0.0820919619, Psi(1.380), Psi(1.380)- -0.0820919619],_
[1.385, -0.0768772046, Psi(1.385), Psi(1.385)- -0.0768772046],_
[1.390, -0.0716878723, Psi(1.390), Psi(1.390)- -0.0716878723],_
[1.395, -0.0665237297, Psi(1.395), Psi(1.395)- -0.0665237297],_
[1.400, -0.0613845446, Psi(1.400), Psi(1.400)- -0.0613845446],_
[1.405, -0.0562700879, Psi(1.405), Psi(1.405)- -0.0562700879],_
[1.410, -0.0511801337, Psi(1.410), Psi(1.410)- -0.0511801337],_
[1.415, -0.0461144589, Psi(1.415), Psi(1.415)- -0.0461144589],_
[1.420, -0.0410728433, Psi(1.420), Psi(1.420)- -0.0410728433],_
[1.425, -0.0360550697, Psi(1.425), Psi(1.425)- -0.0360550697],_
[1.430, -0.0310609237, Psi(1.430), Psi(1.430)- -0.0310609237],_
[1.435, -0.0260901935, Psi(1.435), Psi(1.435)- -0.0260901935],_
[1.440, -0.0211426703, Psi(1.440), Psi(1.440)- -0.0211426703],_
[1.445, -0.0162181479, Psi(1.445), Psi(1.445)- -0.0162181479],_
[1.450, -0.0113164226, Psi(1.450), Psi(1.450)- -0.0113164226],_
[1.455, -0.0064372934, Psi(1.455), Psi(1.455)- -0.0064372934],_
[1.460, -0.0015805620, Psi(1.460), Psi(1.460)- -0.0015805620],_

[1.465,  0.0032539677, Psi(1.465), Psi(1.465)-  0.0032539677],_
[1.470,  0.0080664890, Psi(1.470), Psi(1.470)-  0.0080664890],_
[1.475,  0.0128571930, Psi(1.475), Psi(1.475)-  0.0128571930],_
[1.480,  0.0176262684, Psi(1.480), Psi(1.480)-  0.0176262684],_
[1.485,  0.0223739013, Psi(1.485), Psi(1.485)-  0.0223739013],_
[1.490,  0.0271002758, Psi(1.490), Psi(1.490)-  0.0271002758],_
[1.495,  0.0318055736, Psi(1.495), Psi(1.495)-  0.0318055736],_
[1.500,  0.0364899740, Psi(1.500), Psi(1.500)-  0.0364899740],_
[1.505,  0.0411536543, Psi(1.505), Psi(1.505)-  0.0411536543],_
[1.510,  0.0457967896, Psi(1.510), Psi(1.510)-  0.0457967896],_
[1.515,  0.0504195527, Psi(1.515), Psi(1.515)-  0.0504195527],_
[1.520,  0.0550221146, Psi(1.520), Psi(1.520)-  0.0550221146],_
[1.525,  0.0596046439, Psi(1.525), Psi(1.525)-  0.0596046439],_
[1.530,  0.0641673074, Psi(1.530), Psi(1.530)-  0.0641673074],_
[1.535,  0.0687102697, Psi(1.535), Psi(1.535)-  0.0687102697],_
[1.540,  0.0732336936, Psi(1.540), Psi(1.540)-  0.0732336936],_
[1.545,  0.0777377300, Psi(1.545), Psi(1.545)-  0.0777377300],_
[1.550,  0.0822225675, Psi(1.550), Psi(1.550)-  0.0822225675],_
[1.555,  0.0866883334, Psi(1.555), Psi(1.555)-  0.0866883334],_
[1.560,  0.0911351925, Psi(1.560), Psi(1.560)-  0.0911351925],_
[1.565,  0.0955632984, Psi(1.565), Psi(1.565)-  0.0955632984],_
[1.570,  0.0999728024, Psi(1.570), Psi(1.570)-  0.0999728024],_
[1.575,  0.1043638544, Psi(1.575), Psi(1.575)-  0.1043638544],_
[1.580,  0.1087366023, Psi(1.580), Psi(1.580)-  0.1087366023],_
[1.585,  0.1130911923, Psi(1.585), Psi(1.585)-  0.1130911923],_
[1.590,  0.1174277690, Psi(1.590), Psi(1.590)-  0.1174277690],_
[1.595,  0.1217464754, Psi(1.595), Psi(1.595)-  0.1217464754],_
[1.600,  0.1260474528, Psi(1.600), Psi(1.600)-  0.1260474528],_
[1.605,  0.1303308407, Psi(1.605), Psi(1.605)-  0.1303308407],_
[1.610,  0.1345967772, Psi(1.610), Psi(1.610)-  0.1345967772],_
[1.615,  0.1388453988, Psi(1.615), Psi(1.615)-  0.1388453988],_
[1.620,  0.1430768404, Psi(1.620), Psi(1.620)-  0.1430768404],_
[1.625,  0.1472912354, Psi(1.625), Psi(1.625)-  0.1472912354],_
[1.630,  0.1514887158, Psi(1.630), Psi(1.630)-  0.1514887158],_
[1.635,  0.1556694120, Psi(1.635), Psi(1.635)-  0.1556694120],_
[1.640,  0.1598334529, Psi(1.640), Psi(1.640)-  0.1598334529],_
[1.645,  0.1639809660, Psi(1.645), Psi(1.645)-  0.1639809660],_
[1.650,  0.1681120776, Psi(1.650), Psi(1.650)-  0.1681120776],_
[1.655,  0.1722269122, Psi(1.655), Psi(1.655)-  0.1722269122],_
[1.660,  0.1763255933, Psi(1.660), Psi(1.660)-  0.1763255933],_
[1.665,  0.1804082427, Psi(1.665), Psi(1.665)-  0.1804082427],_
[1.670,  0.1844749813, Psi(1.670), Psi(1.670)-  0.1844749813],_
[1.675,  0.1885259282, Psi(1.675), Psi(1.675)-  0.1885259282],_
[1.680,  0.1925612015, Psi(1.680), Psi(1.680)-  0.1925612015],_
[1.685,  0.1965809180, Psi(1.685), Psi(1.685)-  0.1965809180],_
[1.690,  0.2005851931, Psi(1.690), Psi(1.690)-  0.2005851931],_
[1.695,  0.2045741410, Psi(1.695), Psi(1.695)-  0.2045741410],_
[1.700,  0.2085478749, Psi(1.700), Psi(1.700)-  0.2085478749],_
[1.705,  0.2125065064, Psi(1.705), Psi(1.705)-  0.2125065064],_
[1.710,  0.2164501462, Psi(1.710), Psi(1.710)-  0.2164501462],_

[1.715,  0.2203789037, Psi(1.715), Psi(1.715)-  0.2203789037],_
[1.720,  0.2242928871, Psi(1.720), Psi(1.720)-  0.2242928871],_
[1.725,  0.2281922037, Psi(1.725), Psi(1.725)-  0.2281922037],_
[1.730,  0.2320769593, Psi(1.730), Psi(1.730)-  0.2320769593],_
[1.735,  0.2359472589, Psi(1.735), Psi(1.735)-  0.2359472589],_
[1.740,  0.2398032061, Psi(1.740), Psi(1.740)-  0.2398032061],_
[1.745,  0.2436449038, Psi(1.745), Psi(1.745)-  0.2436449038],_
[1.750,  0.2474724535, Psi(1.750), Psi(1.750)-  0.2474724535],_
[1.755,  0.2512859559, Psi(1.755), Psi(1.755)-  0.2512859559],_
[1.760,  0.2550855103, Psi(1.760), Psi(1.760)-  0.2550855103],_
[1.765,  0.2588712154, Psi(1.765), Psi(1.765)-  0.2588712154],_
[1.770,  0.2626431686, Psi(1.770), Psi(1.770)-  0.2626431686],_
[1.775,  0.2664014664, Psi(1.775), Psi(1.775)-  0.2664014664],_
[1.780,  0.2701462043, Psi(1.780), Psi(1.780)-  0.2701462043],_
[1.785,  0.2738774769, Psi(1.785), Psi(1.785)-  0.2738774769],_
[1.790,  0.2775953776, Psi(1.790), Psi(1.790)-  0.2775953776],_
[1.795,  0.2812999992, Psi(1.795), Psi(1.795)-  0.2812999992],_
[1.800,  0.2849914333, Psi(1.800), Psi(1.800)-  0.2849914333],_
[1.805,  0.2886697707, Psi(1.805), Psi(1.805)-  0.2886697707],_
[1.810,  0.2923351012, Psi(1.810), Psi(1.810)-  0.2923351012],_
[1.815,  0.2959875138, Psi(1.815), Psi(1.815)-  0.2959875138],_
[1.820,  0.2996270966, Psi(1.820), Psi(1.820)-  0.2996270966],_
[1.825,  0.3032539367, Psi(1.825), Psi(1.825)-  0.3032539367],_
[1.830,  0.3068681205, Psi(1.830), Psi(1.830)-  0.3068681205],_
[1.835,  0.3104697335, Psi(1.835), Psi(1.835)-  0.3104697335],_
[1.840,  0.3140588602, Psi(1.840), Psi(1.840)-  0.3140588602],_
[1.845,  0.3176355846, Psi(1.845), Psi(1.845)-  0.3176355846],_
[1.850,  0.3211999895, Psi(1.850), Psi(1.850)-  0.3211999895],_
[1.855,  0.3247521572, Psi(1.855), Psi(1.855)-  0.3247521572],_
[1.860,  0.3282921691, Psi(1.860), Psi(1.860)-  0.3282921691],_
[1.865,  0.3318201056, Psi(1.865), Psi(1.865)-  0.3318201056],_
[1.870,  0.3353360467, Psi(1.870), Psi(1.870)-  0.3353360467],_
[1.875,  0.3388400713, Psi(1.875), Psi(1.875)-  0.3388400713],_
[1.880,  0.3423322577, Psi(1.880), Psi(1.880)-  0.3423322577],_
[1.885,  0.3458126835, Psi(1.885), Psi(1.885)-  0.3458126835],_
[1.890,  0.3492814255, Psi(1.890), Psi(1.890)-  0.3492814255],_
[1.895,  0.3527385596, Psi(1.895), Psi(1.895)-  0.3527385596],_
[1.900,  0.3561841612, Psi(1.900), Psi(1.900)-  0.3561841612],_
[1.905,  0.3596183049, Psi(1.905), Psi(1.905)-  0.3596183049],_
[1.910,  0.3630410646, Psi(1.910), Psi(1.910)-  0.3630410646],_
[1.915,  0.3664525136, Psi(1.915), Psi(1.915)-  0.3664525136],_
[1.920,  0.3698527244, Psi(1.920), Psi(1.920)-  0.3698527244],_
[1.925,  0.3732417688, Psi(1.925), Psi(1.925)-  0.3732417688],_
[1.930,  0.3766197179, Psi(1.930), Psi(1.930)-  0.3766197179],_
[1.935,  0.3799866424, Psi(1.935), Psi(1.935)-  0.3799866424],_
[1.940,  0.3833426119, Psi(1.940), Psi(1.940)-  0.3833426119],_
[1.945,  0.3866876959, Psi(1.945), Psi(1.945)-  0.3866876959],_
[1.950,  0.3900219627, Psi(1.950), Psi(1.950)-  0.3900219627],_
[1.955,  0.3933454805, Psi(1.955), Psi(1.955)-  0.3933454805],_
[1.960,  0.3966583163, Psi(1.960), Psi(1.960)-  0.3966583163],_

 [1.965,  0.3999605371, Psi(1.965), Psi(1.965)-  0.3999605371],_
 [1.970,  0.4032522088, Psi(1.970), Psi(1.970)-  0.4032522088],_
 [1.975,  0.4065333970, Psi(1.975), Psi(1.975)-  0.4065333970],_
 [1.980,  0.4098041664, Psi(1.980), Psi(1.980)-  0.4098041664],_
 [1.985,  0.4130645816, Psi(1.985), Psi(1.985)-  0.4130645816],_
 [1.990,  0.4163147060, Psi(1.990), Psi(1.990)-  0.4163147060],_
 [1.995,  0.4195546030, Psi(1.995), Psi(1.995)-  0.4195546030],_
 [2.000,  0.4227843351, Psi(2.000), Psi(2.000)-  0.4227843351]]
--R
--R   Compiling function Psi with type DoubleFloat -> DoubleFloat
--R
--R   (3)
--R   [[1.,- 0.57721566489999998,- 0.57721566490153275,- 1.5327739077974911E-12],
--R
--R     [1.0049999999999999, - 0.56902091129999999, - 0.56902091134438304,
--R      - 4.4383052788532495E-11]
--R     ,
--R
--R     [1.0099999999999998, - 0.5608854579, - 0.56088545786867494,
--R      3.1325053662101254E-11]
--R     ,
--R
--R     [1.0149999999999999, - 0.55280851559999999, - 0.55280851559434629,
--R      5.6536997306011472E-12]
--R     ,
--R    [1.02,- 0.5447893104999999,- 0.54478931045617984,4.3820058692745079E-11],
--R
--R     [1.0249999999999999, - 0.53682708279999991, - 0.53682708284938863,
--R      - 4.9388715339659939E-11]
--R     ,
--R
--R     [1.0299999999999998, - 0.52892108730000009, - 0.52892108728543108,
--R      1.4569012662946079E-11]
--R     ,
--R
--R     [1.0349999999999999, - 0.52107059210000006, - 0.52107059205771,
--R      4.229006034250915E-11]
--R     ,
--R    [1.04,- 0.5132748788999999,- 0.51327487891683021,- 1.6830314919502598E-11],
--R
--R     [1.0449999999999999, - 0.50553324279999989, - 0.50553324275508449,
--R      4.4915404728840258E-11]
--R     ,
--R
--R     [1.0499999999999998, - 0.49784499130000004, - 0.49784499129987053,
--R      1.2950751582252451E-13]
--R     ,
--R
--R     [1.0549999999999999, - 0.49020944479999995, - 0.49020944481574569,
--R      - 1.5745738046746283E-11]

--R     ,
--R
--R     [1.0600000000000001, - 0.48262593579999996, - 0.48262593581482538,
--R      - 1.4825418670483259E-11]
--R     ,
--R
--R     [1.0649999999999999, - 0.47509380879999996, - 0.47509380877526647,
--R      2.4733493031448006E-11]
--R     ,
--R
--R     [1.0699999999999998, - 0.46761241989999996, - 0.46761241986755375,
--R      3.2446212383518969E-11]
--R     ,
--R    [1.075,- 0.46018113670000005,- 0.4601811366883593,1.1640743924345998E-11],
--R
--R     [1.0800000000000001, - 0.45279933800000005, - 0.45279933800171246,
--R      - 1.7124079931818414E-12]
--R     ,
--R    [1.085,- 0.44546641350000005,- 0.44546641348725191,1.274813588025836E-11],
--R
--R     [1.0899999999999999, - 0.43818176350000004, - 0.43818176349533511,
--R      4.6649351048699828E-12]
--R     ,
--R    [1.095,- 0.43094479880000003,- 0.43094479880878706,- 8.7870266618494952E-12]
--R     ,
--R
--R     [1.1000000000000001, - 0.42375494039999995, - 0.42375494041107653,
--R      - 1.1076584094382724E-11]
--R     ,
--R    [1.105,- 0.41661161929999996,- 0.41661161926071655,3.9283409858370533E-11],
--R
--R     [1.1099999999999999, - 0.40951427609999996, - 0.40951427607169422,
--R      2.830574663548191E-11]
--R     ,
--R    [1.115,- 0.4024623611,- 0.40246236109974648,2.535194276731545E-13],
--R
--R     [1.1200000000000001, - 0.39545533389999998, - 0.39545533393429283,
--R      - 3.4292846340377992E-11]
--R     ,
--R    [1.125,- 0.38849266329999999,- 0.38849266329585463,4.1453507293454095E-12],
--R
--R     [1.1299999999999999, - 0.38157382679999996, - 0.38157382683879215,
--R      - 3.8792191681125132E-11]
--R     ,
--R
--R     [1.1349999999999998, - 0.37469831099999995, - 0.37469831095919104,
--R      4.0808911805356729E-11]
--R     ,
--R
--R     [1.1399999999999999, - 0.36786561059999995, - 0.36786561060774969,

--R      - 7.7497452899422115E-12]
--R     ,
--R    [1.145,- 0.36107522909999995,- 0.361075229107509,- 7.5090489382034775E-12],
--R
--R     [1.1499999999999999, - 0.35432667799999995, - 0.35432667797627904,
--R      2.3720914121838632E-11]
--R     ,
--R
--R     [1.1549999999999998, - 0.34761947680000005, - 0.34761947675362392,
--R      4.6376125162339576E-11]
--R     ,
--R
--R     [1.1599999999999999, - 0.34095315280000005, - 0.34095315283226135,
--R      - 3.2261304738767649E-11]
--R     ,
--R    [1.165,- 0.33432724129999997,- 0.3343272412937619,6.2380656196125983E-12],
--R
--R     [1.1699999999999999, - 0.32774128469999997, - 0.3277412847483927,
--R      - 4.8392734264268711E-11]
--R     ,
--R
--R     [1.1749999999999998, - 0.32119483319999997, - 0.32119483317900821,
--R      2.0991763882705072E-11]
--R     ,
--R
--R     [1.1799999999999999, - 0.31468744379999997, - 0.31468744378886082,
--R      1.1139145161820352E-11]
--R     ,
--R
--R     [1.1850000000000001, - 0.30821868090000004, - 0.30821868085320625,
--R      4.679379106420356E-11]
--R     ,
--R
--R     [1.1899999999999999, - 0.30178811559999996, - 0.30178811557461016,
--R      2.5389801372455167E-11]
--R     ,
--R
--R     [1.1949999999999998, - 0.29539532589999995, - 0.29539532594182993,
--R      - 4.1829983921104485E-11]
--R     ,
--R    [1.2,- 0.28903989659999996,- 0.28903989659218843,7.8115292012626014E-12],
--R
--R     [1.2050000000000001, - 0.28272141869999995, - 0.28272141867731704,
--R      2.2682911104965342E-11]
--R     ,
--R    [1.21,- 0.27643948969999999,- 0.2764394897321919,- 3.2191915799728577E-11],
--R
--R     [1.2149999999999999, - 0.27019371349999999, - 0.27019371354735267,
--R      - 4.7352677334799864E-11]
--R     ,

--R    [1.22,- 0.26398370000000004,- 0.26398370004422023,- 4.4220183070819985E-11],
--R
--R     [1.2250000000000001, - 0.25780906519999996, - 0.25780906515343338,
--R      4.6566583922214022E-11]
--R     ,
--R    [1.23,- 0.25166943070000003,- 0.25166943069609982,3.9002134855081749E-12],
--R
--R     [1.2349999999999999, - 0.24556442429999997, - 0.24556442426789804,
--R      3.2101932223582708E-11]
--R     ,
--R    [1.24,- 0.23949367910000002,- 0.23949367912593666,- 2.5936641723234288E-11],
--R
--R     [1.2450000000000001, - 0.23345683409999998, - 0.23345683407831253,
--R      2.1687457385510811E-11]
--R     ,
--R    [1.25,- 0.22745353340000002,- 0.22745353337626528,2.3734736398495215E-11],
--R
--R     [1.2549999999999999, - 0.22148342659999998, - 0.22148342660888165,
--R      - 8.8816731746987898E-12]
--R     ,
--R
--R     [1.2599999999999998, - 0.21554616859999998, - 0.21554616860026543,
--R      - 2.6545432518787493E-13]
--R     ,
--R
--R     [1.2649999999999999, - 0.20964141930000002, - 0.20964141930911384,
--R      - 9.11382080914791E-12]
--R     ,
--R    [1.27,- 0.20376884369999998,- 0.20376884373062343,- 3.0623448221689387E-11],
--R
--R     [1.2749999999999999, - 0.19792811179999997, - 0.19792811180067393,
--R      - 6.7396088709870128E-13]
--R     ,
--R
--R     [1.2799999999999998, - 0.19211889829999998, - 0.19211889830222206,
--R      - 2.2220836282116352E-12]
--R     ,
--R
--R     [1.2849999999999999, - 0.1863408828, - 0.18634088277384209,
--R      2.6157909172042082E-11]
--R     ,
--R    [1.29,- 0.18059374939999998,- 0.1805937494203691,- 2.0369123054919669E-11],
--R
--R     [1.2949999999999999, - 0.17487718699999999, - 0.17487718702556942,
--R      - 2.5569435457839518E-11]
--R     ,
--R
--R     [1.2999999999999998, - 0.16919088889999997, - 0.16919088886679956,
--R      3.3200414639722453E-11]
--R     ,

--R
--R     [1.3049999999999999, - 0.16353455259999999, - 0.163534552631597,
--R      - 3.1597002791983186E-11]
--R     ,
--R
--R     [1.3100000000000001, - 0.15790788030000003, - 0.15790788033614178,
--R      - 3.6141756254437496E-11]
--R     ,
--R
--R     [1.3149999999999999, - 0.15231057819999999, - 0.15231057824555994,
--R      - 4.5559944705786393E-11]
--R     ,
--R
--R     [1.3199999999999998, - 0.14674235679999997, - 0.14674235679599612,
--R      4.0038528048569333E-12]
--R     ,
--R    [1.325,- 0.14120293049999999,- 0.14120293051842803,- 1.8428036874240661E-11]
--R     ,
--R
--R     [1.3300000000000001, - 0.13569201800000003, - 0.13569201796416941,
--R      3.5830616251786296E-11]
--R     ,
--R    [1.335,- 0.13020934159999997,- 0.13020934163201769,- 3.2017721807164889E-11]
--R     ,
--R
--R     [1.3399999999999999, - 0.1247546279, - 0.12475462789700387,
--R      2.9961311209802943E-12]
--R     ,
--R    [1.345,- 0.11932760689999999,- 0.11932760694070754,- 4.0707548443208452E-11]
--R     ,
--R
--R     [1.3500000000000001, - 0.1139280127, - 0.11392801268308839,
--R      1.6911611000480775E-11]
--R     ,
--R    [1.355,- 0.10855558269999999,- 0.10855558271580501,- 1.5805023956261266E-11]
--R     ,
--R
--R     [1.3599999999999999, - 0.10321005820000001, - 0.10321005823697749,
--R      - 3.6977476636224083E-11]
--R     ,
--R
--R     [1.365, - 9.7891183999999992E-2, - 9.7891183987354968E-2,
--R      1.2645023916846299E-11]
--R     ,
--R
--R     [1.3700000000000001, - 9.2598708199999991E-2, - 9.2598708187860979E-2,
--R      1.2139012017797768E-11]
--R     ,
--R    [1.375,- 8.73323825E-2,- 8.7332382478473081E-2,2.1526919136150013E-11],
--R

--R     [1.3799999999999999, - 8.209196190000001E-2, - 8.2091961858406615E-2,
--R      4.1593395394556865E-11]
--R     ,
--R
--R     [1.3849999999999998, - 7.6877204599999999E-2, - 7.6877204627574636E-2,
--R      - 2.7574637018190629E-11]
--R     ,
--R
--R     [1.3899999999999999, - 7.1687872300000011E-2, - 7.1687872329281643E-2,
--R      - 2.9281632674127422E-11]
--R     ,
--R
--R     [1.395, - 6.6523729699999992E-2, - 6.6523729694132228E-2,
--R      5.8677646075366852E-12]
--R     ,
--R
--R     [1.3999999999999999, - 6.1384544599999993E-2, - 6.1384544585116108E-2,
--R      1.4883885790517581E-11]
--R     ,
--R
--R     [1.4049999999999998, - 5.6270087899999995E-2, - 5.6270087943842473E-2,
--R      - 4.3842478258948603E-11]
--R     ,
--R
--R     [1.4099999999999999, - 5.1180133700000005E-2, - 5.1180133737897426E-2,
--R      - 3.7897421312216295E-11]
--R     ,
--R
--R     [1.415, - 4.6114458899999995E-2, - 4.6114458909301992E-2,
--R      - 9.3019966729279702E-12]
--R     ,
--R
--R     [1.4199999999999999, - 4.1072843299999995E-2, - 4.1072843324024277E-2,
--R      - 2.4024282563317456E-11]
--R     ,
--R
--R     [1.4249999999999998, - 3.6055069699999998E-2, - 3.6055069722548017E-2,
--R      - 2.2548019007473385E-11]
--R     ,
--R
--R     [1.4299999999999999, - 3.10609237E-2, - 3.1060923671447194E-2,
--R      2.8552805952930527E-11]
--R     ,
--R
--R     [1.4350000000000001, - 2.6090193499999997E-2, - 2.609019351596098E-2,
--R      - 1.5960982535645485E-11]
--R     ,
--R
--R     [1.4399999999999999, - 2.1142670299999999E-2, - 2.1142670333530678E-2,
--R      - 3.3530678233972822E-11]

--R     ,
--R
--R     [1.4449999999999998, - 1.6218147899999997E-2, - 1.6218147888283796E-2,
--R      1.1716200926104037E-11]
--R     ,
--R
--R     [1.45, - 1.1316422599999999E-2, - 1.1316422586445718E-2,
--R      1.3554280961503018E-11]
--R     ,
--R
--R     [1.4550000000000001, - 6.4372933999999995E-3, - 6.4372934326406561E-3,
--R      - 3.2640656670579471E-11]
--R     ,
--R
--R     [1.46, - 1.5805620000000002E-3, - 1.5805619870833398E-3,
--R      1.2916660362821686E-11]
--R     ,
--R
--R     [1.4649999999999999, 3.2539676999999998E-3, 3.2539676763744252E-3,
--R      - 2.3625574586960685E-11]
--R     ,
--R    [1.47,8.0664889999999996E-3,8.0664890113649745E-3,1.1364974933369965E-11],
--R
--R     [1.4750000000000001, 1.2857192999999999E-2, 1.2857193039295334E-2,
--R      3.9295334347544397E-11]
--R     ,
--R    [1.48,1.7626268399999999E-2,1.7626268388849287E-2,- 1.1150712297958165E-11],
--R
--R     [1.4849999999999999, 2.2373901299999999E-2, 2.2373901334705293E-2,
--R      3.4705294194026237E-11]
--R     ,
--R    [1.49,2.7100275799999997E-2,2.7100275835486465E-2,3.5486467930834209E-11],
--R
--R     [1.4950000000000001, 3.1805573599999998E-2, 3.1805573570971468E-2,
--R      - 2.9028529580088502E-11]
--R     ,
--R    [1.5,3.6489973999999994E-2,3.6489973978576673E-2,- 2.1423321450164678E-11],
--R
--R     [1.5049999999999999, 4.1153654299999995E-2, 4.1153654289123542E-2,
--R      - 1.0876452516406232E-11]
--R     ,
--R
--R     [1.5099999999999998, 4.5796789599999999E-2, 4.5796789561914686E-2,
--R      - 3.8085312681346295E-11]
--R     ,
--R
--R     [1.5149999999999999, 5.0419552699999995E-2, 5.0419552719128236E-2,
--R      1.9128240658083939E-11]
--R     ,
--R    [1.52,5.5022114599999998E-2,5.5022114579551307E-2,- 2.0448691351315773E-11],

--R
--R     [1.5249999999999999, 5.9604643899999997E-2, 5.960464389166209E-2,
--R      - 8.3379067539190999E-12]
--R     ,
--R
--R     [1.5299999999999998, 6.4167307399999998E-2, 6.4167307366077009E-2,
--R      - 3.3922989417511928E-11]
--R     ,
--R
--R     [1.5349999999999999, 6.8710269699999993E-2, 6.8710269707385141E-2,
--R      7.38514804865531E-12]
--R     ,
--R    [1.54,7.3233693599999997E-2,7.3233693645366138E-2,4.5366141399050264E-11],
--R
--R     [1.5449999999999999, 7.7737730000000005E-2, 7.7737739965624497E-2,
--R      9.9656244922918802E-9]
--R     ,
--R
--R     [1.5499999999999998, 8.2222567499999996E-2, 8.222256753964452E-2,
--R      3.9644523774917673E-11]
--R     ,
--R
--R     [1.5549999999999999, 8.6688333399999998E-2, 8.6688333354268288E-2,
--R      - 4.5731710085483712E-11]
--R     ,
--R
--R     [1.5600000000000001, 9.113519249999999E-2, 9.1135192540635401E-2,
--R      4.0635411702183433E-11]
--R     ,
--R
--R     [1.5649999999999999, 9.5563298399999996E-2, 9.5563298402570163E-2,
--R      2.5701663020072374E-12]
--R     ,
--R
--R     [1.5699999999999998, 9.9972802400000005E-2, 9.9972802444444619E-2,
--R      4.444461465524796E-11]
--R     ,
--R    [1.575,0.1043638544,0.10436385439851947,- 1.4805240367010697E-12],
--R
--R     [1.5800000000000001, 0.1087366023, 0.10873660225178161,
--R      - 4.8218387616039138E-11]
--R     ,
--R    [1.585,0.1130911923,0.11309119227228603,- 2.7713970007781086E-11],
--R
--R     [1.5899999999999999, 0.11742776899999999, 0.11742776903501084,
--R      3.5010855325978696E-11]
--R     ,
--R    [1.595,0.1217464754,0.12174647544723916,4.7239157030531942E-11],
--R
--R     [1.6000000000000001, 0.12604745279999999, 0.12604745277347584,

--R      - 2.6524143992290306E-11]
--R     ,
--R    [1.605,0.13033084070000001,0.13033084065991318,- 4.0086822750140527E-11],
--R
--R     [1.6099999999999999, 0.13459677719999999, 0.1345967771584452,
--R      - 4.1554787388875525E-11]
--R     ,
--R    [1.615,0.13884539879999999,0.13884539875025736,- 4.9742626684334823E-11],
--R
--R     [1.6200000000000001, 0.14307684039999999, 0.14307684036898005,
--R      - 3.1019936619358646E-11]
--R     ,
--R    [1.625,0.1472912354,0.14729123542343325,2.3433255336158254E-11],
--R
--R     [1.6299999999999999, 0.15148871580000001, 0.15148871581995815,
--R      1.9958146246779052E-11]
--R     ,
--R
--R     [1.6349999999999998, 0.15566941200000001, 0.15566941198435291,
--R      - 1.5647094731008337E-11]
--R     ,
--R
--R     [1.6399999999999999, 0.15983345290000001, 0.15983345288341522,
--R      - 1.6584789097606745E-11]
--R     ,
--R    [1.645,0.16398096600000001,0.16398096604610457,4.6104564610516263E-11],
--R
--R     [1.6499999999999999, 0.16811207759999999, 0.16811207758432767,
--R      - 1.5672324549242944E-11]
--R     ,
--R    [1.6549999999999998,0.1722269122,0.17222691221335718,1.3357176475992105E-11]
--R     ,
--R
--R     [1.6599999999999999, 0.1763255933, 0.17632559327189457,
--R      - 2.8105434646263916E-11]
--R     ,
--R    [1.665,0.1804082427,0.18040824274177392,4.1773917658360915E-11],
--R
--R     [1.6699999999999999, 0.18447498130000001, 0.1844749812673292,
--R      - 3.2670810501400638E-11]
--R     ,
--R
--R     [1.6749999999999998, 0.1885259282, 0.18852592817442237,
--R      - 2.5577623352646128E-11]
--R     ,
--R
--R     [1.6799999999999999, 0.1925612015, 0.19256120148913258,
--R      - 1.0867418076543345E-11]
--R     ,
--R

--R     [1.6850000000000001, 0.19658091799999999, 0.19658091795613342,
--R      - 4.3866577037476873E-11]
--R     ,
--R
--R     [1.6899999999999999, 0.2005851931, 0.20058519305674649,
--R      - 4.3253511883278861E-11]
--R     ,
--R
--R     [1.6949999999999998, 0.20457414099999999, 0.20457414102668592,
--R      2.6685931242553806E-11]
--R     ,
--R    [1.7,0.20854787489999999,0.20854787487349435,- 2.6505631023354681E-11],
--R
--R     [1.7050000000000001, 0.21250650639999999, 0.21250650639368796,
--R      - 6.3120342286282494E-12]
--R     ,
--R    [1.71,0.2164501462,0.21645014618960501,- 1.0394990423989725E-11],
--R
--R     [1.7149999999999999, 0.22037890369999999, 0.22037890368596569,
--R      - 1.4034301498710988E-11]
--R     ,
--R    [1.72,0.2242928871,0.22429288714615725,4.6157244693034727E-11],
--R
--R     [1.7250000000000001, 0.22819220369999998, 0.22819220368823745,
--R      - 1.1762535390147377E-11]
--R     ,
--R    [1.73,0.2320769593,0.23207695930067274,6.7273964177161361E-13],
--R
--R     [1.7349999999999999, 0.23594725890000001, 0.23594725885781098,
--R      - 4.2189030047268261E-11]
--R     ,
--R    [1.74,0.2398032061,0.23980320613509676,3.5096758832509067E-11],
--R
--R     [1.7450000000000001, 0.24364490379999998, 0.24364490382402559,
--R      2.4025614830947006E-11]
--R     ,
--R    [1.75,0.24747245349999999,0.2474724535468612,4.6861209357373923E-11],
--R
--R     [1.7549999999999999, 0.25128595590000002, 0.25128595587109781,
--R      - 2.8902213955461775E-11]
--R     ,
--R
--R     [1.7599999999999998, 0.25508551029999998, 0.25508551032368809,
--R      2.3688107031460959E-11]
--R     ,
--R
--R     [1.7649999999999999, 0.25887121540000002, 0.25887121540503744,
--R      5.0374149296317228E-12]
--R     ,
--R    [1.77,0.26264316859999998,0.26264316860276249,2.7625124410235458E-12],

--R
--R     [1.7749999999999999, 0.26640146639999995, 0.2664014664052331,
--R      5.2331472488731379E-12]
--R     ,
--R
--R     [1.7799999999999998, 0.27014620430000003, 0.27014620431488345,
--R      1.4883427823519924E-11]
--R     ,
--R
--R     [1.7849999999999999, 0.27387747689999997, 0.27387747686131236,
--R      - 3.8687608672205442E-11]
--R     ,
--R    [1.79,0.27759537759999997,0.27759537761416786,1.416788908414901E-11],
--R
--R     [1.7949999999999999, 0.28129999919999998, 0.2812999991958266,
--R      - 4.1733838607171947E-12]
--R     ,
--R
--R     [1.7999999999999998, 0.28499143329999999, 0.2849914332938619,
--R      - 6.138090036245103E-12]
--R     ,
--R
--R     [1.8049999999999999, 0.28866977069999999, 0.28866977067331689,
--R      - 2.6683100173841012E-11]
--R     ,
--R
--R     [1.8100000000000001, 0.29233510119999995, 0.29233510118877948,
--R      - 1.1220468998374145E-11]
--R     ,
--R
--R     [1.8149999999999999, 0.29598751379999999, 0.29598751379626109,
--R      - 3.7388980800301397E-12]
--R     ,
--R
--R     [1.8199999999999998, 0.29962709659999998, 0.29962709656488751,
--R      - 3.5112468488307513E-11]
--R     ,
--R    [1.825,0.3032539367,0.30325393668840539,- 1.1594614157672822E-11],
--R
--R     [1.8300000000000001, 0.30686812050000001, 0.30686812049650136,
--R      - 3.4986458175012558E-12]
--R     ,
--R    [1.835,0.31046973349999996,0.31046973346594764,- 3.4052316522092951E-11],
--R
--R     [1.8399999999999999, 0.31405886019999996, 0.31405886023156848,
--R      3.1568525571401551E-11]
--R     ,
--R    [1.845,0.31763558459999996,0.31763558459703256,- 2.9674041002181184E-12],
--R
--R     [1.8500000000000001, 0.32119998949999995, 0.32119998954547946,

--R      4.54795090476523E-11]
--R     ,
--R    [1.855,0.32475215719999995,0.32475215724997797,4.9978021721130972E-11],
--R
--R     [1.8599999999999999, 0.32829216909999998, 0.32829216908382031,
--R      - 1.6179668715921025E-11]
--R     ,
--R    [1.865,0.33182010559999997,0.33182010563065989,3.0659919048048323E-11],
--R
--R     [1.8700000000000001, 0.33533604669999995, 0.33533604669448569,
--R      - 5.5142557187082275E-12]
--R     ,
--R    [1.875,0.33884007129999999,0.33884007130944738,9.4473873168965383E-12],
--R
--R     [1.8799999999999999, 0.34233225769999998, 0.34233225774952925,
--R      4.9529269574577484E-11]
--R     ,
--R    [1.8849999999999998,0.3458126835,0.34581268353806771,3.8067715646405986E-11]
--R     ,
--R
--R     [1.8899999999999999, 0.34928142549999996, 0.34928142545713492,
--R      - 4.2865044846962519E-11]
--R     ,
--R    [1.895,0.3527385596,0.35273855955676792,- 4.3232084578903596E-11],
--R
--R     [1.8999999999999999, 0.35618416119999996, 0.35618416116406026,
--R      - 3.5939695663955717E-11]
--R     ,
--R
--R     [1.9049999999999998, 0.35961830490000002, 0.35961830489211777,
--R      - 7.8822504079312239E-12]
--R     ,
--R
--R     [1.9099999999999999, 0.36304106459999996, 0.36304106464888108,
--R      4.8881121372801317E-11]
--R     ,
--R    [1.915,0.36645251359999997,0.36645251364580167,4.580169576939852E-11],
--R    [1.9199999999999999,0.3698527244,0.36985272440640171,6.4017124934423464E-12]
--R     ,
--R
--R     [1.9249999999999998, 0.37324176879999998, 0.37324176877469784,
--R      - 2.5302149264661011E-11]
--R     ,
--R
--R     [1.9299999999999999, 0.37661971789999998, 0.37661971792349891,
--R      2.3498925028064832E-11]
--R     ,
--R
--R     [1.9350000000000001, 0.37998664240000002, 0.37998664236258128,
--R      - 3.7418734777361351E-11]

--R     ,
--R
--R     [1.9399999999999999, 0.38334261189999996, 0.38334261194674013,
--R      4.6740167292114165E-11]
--R     ,
--R
--R     [1.9449999999999998, 0.38668769589999996, 0.38668769588372276,
--R      - 1.6277201808634345E-11]
--R     ,
--R    [1.95,0.3900219627,0.39002196274204304,4.2043035719530053E-11],
--R
--R     [1.9550000000000001, 0.39334548049999996, 0.39334548045868012,
--R      - 4.1319836441289226E-11]
--R     ,
--R    [1.96,0.39665831629999998,0.39665831634666171,4.6661730035424398E-11],
--R
--R     [1.9649999999999999, 0.39996053710000001, 0.39996053710254509,
--R      2.5450752616507089E-12]
--R     ,
--R    [1.97,0.40325220880000001,0.40325220881377177,1.3771761508962754E-11],
--R
--R     [1.9750000000000001, 0.40653339700000002, 0.40653339696592627,
--R      - 3.4073743826468217E-11]
--R     ,
--R    [1.98,0.40980416639999995,0.40980416644989071,4.9890758191395435E-11],
--R
--R     [1.9849999999999999, 0.41306458159999998, 0.41306458156888604,
--R      - 3.1113944753968781E-11]
--R     ,
--R    [1.99,0.41631470599999998,0.41631470604541487,4.5414894067619116E-11],
--R
--R     [1.9950000000000001, 0.41955460300000003, 0.41955460302810832,
--R      2.8108293470552326E-11]
--R     ,
--R    [2.,0.42278433510000002,0.42278433509846725,- 1.5327739077974911E-12]]
--R                                                Type: List(List(DoubleFloat))
--E 3

———-

4 log(Gamma) 1+0.0i to 1+10.0i by 0+0.1i

In the following table there are 4 columns. The first column is the argument of complex Gamma, ranging from 1.0 + 0i to 1.0+10i second column is the reference value of complex Gamma from the book Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp227

Note that at the value 1.0+4.6i there is a radical departure between the table and the computed values in the imaginary part of the value even though the real part is exact.

— * —

--S 4 of 12
[[1. + 0.0 * %i,0.,log(Gamma(1. + 0.0 * %i)),log(Gamma(1. + 0.0 * %i))-0.0],_
[1. + 0.1 * %i, -0.008197780565 - 0.057322940417 * %i,_
log(Gamma(1. + 0.1 * %i)),_
log(Gamma(1. + 0.1 * %i))-( -0.008197780565 - 0.057322940417 * %i)],_
[1. + 0.2 * %i, -0.032476292318 - 0.112302222644 * %i,_
log(Gamma(1. + 0.2 * %i)),_
log(Gamma(1. + 0.2 * %i))-( -0.032476292318 - 0.112302222644 * %i)],_
[1. + 0.3 * %i, -0.071946250900 - 0.162820672168 * %i,_
log(Gamma(1. + 0.3 * %i)),_
log(Gamma(1. + 0.3 * %i))-( -0.071946250900 - 0.162820672168 * %i)],_
[1. + 0.4 * %i, -0.125289374821 - 0.207155826316 * %i,_
log(Gamma(1. + 0.4 * %i)),_
log(Gamma(1. + 0.4 * %i))-( -0.125289374821 - 0.207155826316 * %i)],_
[1. + 0.5 * %i,- 0.190945499187 - 0.244058298905 * %i,_
log(Gamma(1. + 0.5 * %i)),_
log(Gamma(1. + 0.5 * %i))-(- 0.190945499187 - 0.244058298905 * %i)],_
[1. + 0.6 * %i,- 0.267290068214 - 0.272743810491 * %i,_
log(Gamma(1. + 0.6 * %i)),_
log(Gamma(1. + 0.6 * %i))-(- 0.267290068214 - 0.272743810491 * %i)],_
[1. + 0.7 * %i,- 0.352768690860 - 0.292826351187 * %i,_
log(Gamma(1. + 0.7 * %i)),_
log(Gamma(1. + 0.7 * %i))-(- 0.352768690860 - 0.292826351187 * %i)],_
[1. + 0.8 * %i,- 0.445978783549 - 0.304225602976 * %i,_
log(Gamma(1. + 0.8 * %i)),_
log(Gamma(1. + 0.8 * %i))-(- 0.445978783549 - 0.304225602976 * %i)],_
[1. + 0.9 * %i,- 0.545705128605 - 0.307074375642 * %i,_
log(Gamma(1. + 0.9 * %i)),_
log(Gamma(1. + 0.9 * %i))-(- 0.545705128605 - 0.307074375642 * %i)],_
[1. + 1.0 * %i,- 0.650923199302 - 0.301640320468 * %i,_
log(Gamma(1. + 1.0 * %i)),_
log(Gamma(1. + 1.0 * %i))-(- 0.650923199302 - 0.301640320468 * %i)],_
[1. + 1.1 * %i,- 0.760783958841 - 0.288266614239 * %i,_
log(Gamma(1. + 1.1 * %i)),_
log(Gamma(1. + 1.1 * %i))-(- 0.760783958841 - 0.288266614239 * %i)],_
[1. + 1.2 * %i,- 0.874590463895 - 0.267330580581 * %i,_
log(Gamma(1. + 1.2 * %i)),_
log(Gamma(1. + 1.2 * %i))-(- 0.874590463895 - 0.267330580581 * %i)],_
[1. + 1.3 * %i,- 0.991772766959 - 0.239216784465 * %i,_
log(Gamma(1. + 1.3 * %i)),_
log(Gamma(1. + 1.3 * %i))-(- 0.991772766959 - 0.239216784465 * %i)],_
[1. + 1.4 * %i,- 1.111864566426 - 0.204300724149 * %i,_
log(Gamma(1. + 1.4 * %i)),_
log(Gamma(1. + 1.4 * %i))-(- 1.111864566426 - 0.204300724149 * %i)],_
[1. + 1.5 * %i,- 1.234483051547 - 0.162939769480 * %i,_
log(Gamma(1. + 1.5 * %i)),_
log(Gamma(1. + 1.5 * %i))-(- 1.234483051547 - 0.162939769480 * %i)],_
[1. + 1.6 * %i,- 1.359312248465 - 0.115468793589 * %i,_
log(Gamma(1. + 1.6 * %i)),_
log(Gamma(1. + 1.6 * %i))-(- 1.359312248465 - 0.115468793589 * %i)],_

[1. + 1.7 * %i,- 1.486089612757 - 0.062198698329 * %i,_
log(Gamma(1. + 1.7 * %i)),_
log(Gamma(1. + 1.7 * %i))-(- 1.486089612757 - 0.062198698329 * %i)],_
[1. + 1.8 * %i,- 1.614595396000 - 0.003416631477 * %i,_
log(Gamma(1. + 1.8 * %i)),_
log(Gamma(1. + 1.8 * %i))-(- 1.614595396000 - 0.003416631477 * %i)],_
[1. + 1.9 * %i,- 1.744644276174 + 0.060612874295 * %i,_
log(Gamma(1. + 1.9 * %i)),_
log(Gamma(1. + 1.9 * %i))-(- 1.744644276174 + 0.060612874295 * %i)],_
[1. + 2.0 * %i,- 1.876078786431 + 0.129646316310 * %i,_
log(Gamma(1. + 2.0 * %i)),_
log(Gamma(1. + 2.0 * %i))-(- 1.876078786431 + 0.129646316310 * %i)],_
[1. + 2.1 * %i,- 2.008764150471 + 0.203459473833 * %i,_
log(Gamma(1. + 2.1 * %i)),_
log(Gamma(1. + 2.1 * %i))-(- 2.008764150471 + 0.203459473833 * %i)],_
[1. + 2.2 * %i,- 2.142584209296 + 0.281845658426 * %i,_
log(Gamma(1. + 2.2 * %i)),_
log(Gamma(1. + 2.2 * %i))-(- 2.142584209296 + 0.281845658426 * %i)],_
[1. + 2.3 * %i,- 2.277438192204 + 0.364614048950 * %i,_
log(Gamma(1. + 2.3 * %i)),_
log(Gamma(1. + 2.3 * %i))-(- 2.277438192204 + 0.364614048950 * %i)],_
[1. + 2.4 * %i,- 2.413238141184 + 0.451588152441 * %i,_
log(Gamma(1. + 2.4 * %i)),_
log(Gamma(1. + 2.4 * %i))-(- 2.413238141184 + 0.451588152441 * %i)],_
[1. + 2.5 * %i,- 2.549906842495 + 0.542604405852 * %i,_
log(Gamma(1. + 2.5 * %i)),_
log(Gamma(1. + 2.5 * %i))-(- 2.549906842495 + 0.542604405852 * %i)],_
[1. + 2.6 * %i,- 2.687376153750 + 0.637510919046 * %i,_
log(Gamma(1. + 2.6 * %i)),_
log(Gamma(1. + 2.6 * %i))-(- 2.687376153750 + 0.637510919046 * %i)],_
[1. + 2.7 * %i,- 2.825585641191 + 0.736166351679 * %i,_
log(Gamma(1. + 2.7 * %i)),_
log(Gamma(1. + 2.7 * %i))-(- 2.825585641191 + 0.736166351679 * %i)],_
[1. + 2.8 * %i,- 2.964481461789 + 0.838438913096 * %i,_
log(Gamma(1. + 2.8 * %i)),_
log(Gamma(1. + 2.8 * %i))-(- 2.964481461789 + 0.838438913096 * %i)],_
[1. + 2.9 * %i,- 3.104015439901 + 0.944205473039 * %i,_
log(Gamma(1. + 2.9 * %i)),_
log(Gamma(1. + 2.9 * %i))-(- 3.104015439901 + 0.944205473039 * %i)],_
[1. + 3.0 * %i,- 3.244144299590 + 1.053350771069 * %i,_
log(Gamma(1. + 3.0 * %i)),_
log(Gamma(1. + 3.0 * %i))-(- 3.244144299590 + 1.053350771069 * %i)],_
[1. + 3.1 * %i,- 3.384829022377 + 1.165766713286 * %i,_
log(Gamma(1. + 3.1 * %i)),_
log(Gamma(1. + 3.1 * %i))-(- 3.384829022377 + 1.165766713286 * %i)],_
[1. + 3.2 * %i,- 3.526034306709 + 1.281351745932 * %i,_
log(Gamma(1. + 3.2 * %i)),_
log(Gamma(1. + 3.2 * %i))-(- 3.526034306709 + 1.281351745932 * %i)],_
[1. + 3.3 * %i,- 3.667728110488 + 1.400010296576 * %i,_
log(Gamma(1. + 3.3 * %i)),_

log(Gamma(1. + 3.3 * %i))-(- 3.667728110488 + 1.400010296576 * %i)],_
[1. + 3.4 * %i,- 3.809881261823 + 1.521652274673 * %i,_
log(Gamma(1. + 3.4 * %i)),_
log(Gamma(1. + 3.4 * %i))-(- 3.809881261823 + 1.521652274673 * %i)],_
[1. + 3.5 * %i,- 3.952467126189 + 1.646192624269 * %i,_
log(Gamma(1. + 3.5 * %i)),_
log(Gamma(1. + 3.5 * %i))-(- 3.952467126189 + 1.646192624269 * %i)],_
[1. + 3.6 * %i,- 4.095461320451 + 1.773550922591 * %i,_
log(Gamma(1. + 3.6 * %i)),_
log(Gamma(1. + 3.6 * %i))-(- 4.095461320451 + 1.773550922591 * %i)],_
[1. + 3.7 * %i,- 4.238841466071 + 1.903651019019 * %i,_
log(Gamma(1. + 3.7 * %i)),_
log(Gamma(1. + 3.7 * %i))-(- 4.238841466071 + 1.903651019019 * %i)],_
[1. + 3.8 * %i,- 4.382586975228 + 2.036420709693 * %i,_
log(Gamma(1. + 3.8 * %i)),_
log(Gamma(1. + 3.8 * %i))-(- 4.382586975228 + 2.036420709693 * %i)],_
[1. + 3.9 * %i,- 4.526678864716 + 2.171791443605 * %i,_
log(Gamma(1. + 3.9 * %i)),_
log(Gamma(1. + 3.9 * %i))-(- 4.526678864716 + 2.171791443605 * %i)],_
[1. + 4.0 * %i,- 4.671099593409 + 2.309698056573 * %i,_
log(Gamma(1. + 4.0 * %i)),_
log(Gamma(1. + 4.0 * %i))-(- 4.671099593409 + 2.309698056573 * %i)],_
[1. + 4.1 * %i,- 4.815832919796 + 2.450078529947 * %i,_
log(Gamma(1. + 4.1 * %i)),_
log(Gamma(1. + 4.1 * %i))-(- 4.815832919796 + 2.450078529947 * %i)],_
[1. + 4.2 * %i,- 4.960863776687 + 2.592873771319 * %i,_
log(Gamma(1. + 4.2 * %i)),_
log(Gamma(1. + 4.2 * %i))-(- 4.960863776687 + 2.592873771319 * %i)],_
[1. + 4.3 * %i,- 5.106178160663 + 2.738027414820 * %i,_
log(Gamma(1. + 4.3 * %i)),_
log(Gamma(1. + 4.3 * %i))-(- 5.106178160663 + 2.738027414820 * %i)],_
[1. + 4.4 * %i,- 5.251763034230 + 2.885485638927 * %i,_
log(Gamma(1. + 4.4 * %i)),_
log(Gamma(1. + 4.4 * %i))-(- 5.251763034230 + 2.885485638927 * %i)],_
[1. + 4.5 * %i,- 5.397606238984 + 3.035196999922 * %i,_
log(Gamma(1. + 4.5 * %i)),_
log(Gamma(1. + 4.5 * %i))-(- 5.397606238984 + 3.035196999922 * %i)],_
[1. + 4.6 * %i,- 5.543696418304 + 3.187112279389 * %i,_
log(Gamma(1. + 4.6 * %i)),_
log(Gamma(1. + 4.6 * %i))-(- 5.543696418304 + 3.187112279389 * %i)],_
[1. + 4.7 * %i,- 5.690022948373 + 3.341184344327 * %i,_
log(Gamma(1. + 4.7 * %i)),_
log(Gamma(1. + 4.7 * %i))-(- 5.690022948373 + 3.341184344327 * %i)],_
[1. + 4.8 * %i,- 5.836575876454 + 3.497368018615 * %i,_
log(Gamma(1. + 4.8 * %i)),_
log(Gamma(1. + 4.8 * %i))-(- 5.836575876454 + 3.497368018615 * %i)],_
[1. + 4.9 * %i,- 5.983345865532 + 3.655619964712 * %i,_
log(Gamma(1. + 4.9 * %i)),_
log(Gamma(1. + 4.9 * %i))-(- 5.983345865532 + 3.655619964712 * %i)],_
[1. + 5.0 * %i,- 6.130324144553 + 3.815898574615 * %i,_

log(Gamma(1. + 5.0 * %i)),_
log(Gamma(1. + 5.0 * %i))-(- 6.130324144553 + 3.815898574615 * %i)],_
[1. + 5.1 * %i,- 6.277502463584 + 3.978163869188 * %i,_
log(Gamma(1. + 5.1 * %i)),_
log(Gamma(1. + 5.1 * %i))-(- 6.277502463584 + 3.978163869188 * %i)],_
[1. + 5.2 * %i,- 6.424873053335 + 4.142377405086 * %i,_
log(Gamma(1. + 5.2 * %i)),_
log(Gamma(1. + 5.2 * %i))-(- 6.424873053335 + 4.142377405086 * %i)],_
[1. + 5.3 * %i,- 6.572428588529 + 4.308502188583 * %i,_
log(Gamma(1. + 5.3 * %i)),_
log(Gamma(1. + 5.3 * %i))-(- 6.572428588529 + 4.308502188583 * %i)],_
[1. + 5.4 * %i,- 6.720162154703 + 4.476502595668 * %i,_
log(Gamma(1. + 5.4 * %i)),_
log(Gamma(1. + 5.4 * %i))-(- 6.720162154703 + 4.476502595668 * %i)],_
[1. + 5.5 * %i,- 6.868067218048 + 4.646344297870 * %i,_
log(Gamma(1. + 5.5 * %i)),_
log(Gamma(1. + 5.5 * %i))-(- 6.868067218048 + 4.646344297870 * %i)],_
[1. + 5.6 * %i,- 7.016137597976 + 4.817994193305 * %i,_
log(Gamma(1. + 5.6 * %i)),_
log(Gamma(1. + 5.6 * %i))-(- 7.016137597976 + 4.817994193305 * %i)],_
[1. + 5.7 * %i,- 7.164367442106 + 4.991420342489 * %i,_
log(Gamma(1. + 5.7 * %i)),_
log(Gamma(1. + 5.7 * %i))-(- 7.164367442106 + 4.991420342489 * %i)],_
[1. + 5.8 * %i,- 7.312751203430 + 5.166591908537 * %i,_
log(Gamma(1. + 5.8 * %i)),_
log(Gamma(1. + 5.8 * %i))-(- 7.312751203430 + 5.166591908537 * %i)],_
[1. + 5.9 * %i,- 7.461283619429 + 5.343479101353 * %i,_
log(Gamma(1. + 5.9 * %i)),_
log(Gamma(1. + 5.9 * %i))-(- 7.461283619429 + 5.343479101353 * %i)],_
[1. + 6.0 * %i,- 7.609959692951 + 5.522053125515 * %i,_
log(Gamma(1. + 6.0 * %i)),_
log(Gamma(1. + 6.0 * %i))-(- 7.609959692951 + 5.522053125515 * %i)],_
[1. + 6.1 * %i,- 7.758774674655 + 5.702286131535 * %i,_
log(Gamma(1. + 6.1 * %i)),_
log(Gamma(1. + 6.1 * %i))-(- 7.758774674655 + 5.702286131535 * %i)],_
[1. + 6.2 * %i,- 7.907724046898 + 5.884151170239 * %i,_
log(Gamma(1. + 6.2 * %i)),_
log(Gamma(1. + 6.2 * %i))-(- 7.907724046898 + 5.884151170239 * %i)],_
[1. + 6.3 * %i,- 8.056803508904 + 6.067622150013 * %i,_
log(Gamma(1. + 6.3 * %i)),_
log(Gamma(1. + 6.3 * %i))-(- 8.056803508904 + 6.067622150013 * %i)],_
[1. + 6.4 * %i,- 8.206008963100 + 6.252673796705 * %i,_
log(Gamma(1. + 6.4 * %i)),_
log(Gamma(1. + 6.4 * %i))-(- 8.206008963100 + 6.252673796705 * %i)],_
[1. + 6.5 * %i,- 8.355336502511 + 6.439281615976 * %i,_
log(Gamma(1. + 6.5 * %i)),_
log(Gamma(1. + 6.5 * %i))-(- 8.355336502511 + 6.439281615976 * %i)],_
[1. + 6.6 * %i,- 8.504782399125 + 6.627421857912 * %i,_
log(Gamma(1. + 6.6 * %i)),_
log(Gamma(1. + 6.6 * %i))-(- 8.504782399125 + 6.627421857912 * %i)],_

[1. + 6.7 * %i,- 8.654343093123 + 6.817071483744 * %i,_
log(Gamma(1. + 6.7 * %i)),_
log(Gamma(1. + 6.7 * %i))-(- 8.654343093123 + 6.817071483744 * %i)],_
[1. + 6.8 * %i,- 8.804015182910 + 7.008208134502 * %i,_
log(Gamma(1. + 6.8 * %i)),_
log(Gamma(1. + 6.8 * %i))-(- 8.804015182910 + 7.008208134502 * %i)],_
[1. + 6.9 * %i,- 8.953795415879 + 7.200810101493 * %i,_
log(Gamma(1. + 6.9 * %i)),_
log(Gamma(1. + 6.9 * %i))-(- 8.953795415879 + 7.200810101493 * %i)],_
[1. + 7.0 * %i,- 9.103680679832 + 7.394856298436 * %i,_
log(Gamma(1. + 7.0 * %i)),_
log(Gamma(1. + 7.0 * %i))-(- 9.103680679832 + 7.394856298436 * %i)],_
[1. + 7.1 * %i,- 9.253667995015 + 7.590326235184 * %i,_
log(Gamma(1. + 7.1 * %i)),_
log(Gamma(1. + 7.1 * %i))-(- 9.253667995015 + 7.590326235184 * %i)],_
[1. + 7.2 * %i,- 9.403754506708 + 7.787199992877 * %i,_
log(Gamma(1. + 7.2 * %i)),_
log(Gamma(1. + 7.2 * %i))-(- 9.403754506708 + 7.787199992877 * %i)],_
[1. + 7.3 * %i,- 9.553937478321 + 7.985458200468 * %i,_
log(Gamma(1. + 7.3 * %i)),_
log(Gamma(1. + 7.3 * %i))-(- 9.553937478321 + 7.985458200468 * %i)],_
[1. + 7.4 * %i,- 9.704214284972 + 8.185082012503 * %i,_
log(Gamma(1. + 7.4 * %i)),_
log(Gamma(1. + 7.4 * %i))-(- 9.704214284972 + 8.185082012503 * %i)],_
[1. + 7.5 * %i,- 9.854582407486 + 8.386053088089 * %i,_
log(Gamma(1. + 7.5 * %i)),_
log(Gamma(1. + 7.5 * %i))-(- 9.854582407486 + 8.386053088089 * %i)],_
[1. + 7.6 * %i,- 10.005039426790 + 8.588353570962 * %i,_
log(Gamma(1. + 7.6 * %i)),_
log(Gamma(1. + 7.6 * %i))-(- 10.005039426790 + 8.588353570962 * %i)],_
[1. + 7.7 * %i,- 10.155583018686 + 8.791966070587 * %i,_
log(Gamma(1. + 7.7 * %i)),_
log(Gamma(1. + 7.7 * %i))-(- 10.155583018686 + 8.791966070587 * %i)],_
[1. + 7.8 * %i,- 10.306210948948 + 8.996873644229 * %i,_
log(Gamma(1. + 7.8 * %i)),_
log(Gamma(1. + 7.8 * %i))-(- 10.306210948948 + 8.996873644229 * %i)],_
[1. + 7.9 * %i,- 10.456921068739 + 9.203059779925 * %i,_
log(Gamma(1. + 7.9 * %i)),_
log(Gamma(1. + 7.9 * %i))-(- 10.456921068739 + 9.203059779925 * %i)],_
[1. + 8.0 * %i,- 10.607711310315 + 9.410508380312 * %i,_
log(Gamma(1. + 8.0 * %i)),_
log(Gamma(1. + 8.0 * %i))-(- 10.607711310315 + 9.410508380312 * %i)],_
[1. + 8.1 * %i,- 10.758579682995 + 9.619203747242 * %i,_
log(Gamma(1. + 8.1 * %i)),_
log(Gamma(1. + 8.1 * %i))-(- 10.758579682995 + 9.619203747242 * %i)],_
[1. + 8.2 * %i,- 10.909524269378 + 9.829130567162 * %i,_
log(Gamma(1. + 8.2 * %i)),_
log(Gamma(1. + 8.2 * %i))-(- 10.909524269378 + 9.829130567162 * %i)],_
[1. + 8.3 * %i,- 11.060543221792 + 10.040273897180 * %i,_
log(Gamma(1. + 8.3 * %i)),_

log(Gamma(1. + 8.3 * %i))-(- 11.060543221792 + 10.040273897180 * %i)],_
[1. + 8.4 * %i,- 11.211634758948 + 10.252619151809 * %i,_
log(Gamma(1. + 8.4 * %i)),_
log(Gamma(1. + 8.4 * %i))-(- 11.211634758948 + 10.252619151809 * %i)],_
[1. + 8.5 * %i,- 11.362797162804 + 10.466152090324 * %i,_
log(Gamma(1. + 8.5 * %i)),_
log(Gamma(1. + 8.5 * %i))-(- 11.362797162804 + 10.466152090324 * %i)],_
[1. + 8.6 * %i,- 11.514028775602 + 10.680858804712 * %i,_
log(Gamma(1. + 8.6 * %i)),_
log(Gamma(1. + 8.6 * %i))-(- 11.514028775602 + 10.680858804712 * %i)],_
[1. + 8.7 * %i,- 11.665327997081 + 10.896725708177 * %i,_
log(Gamma(1. + 8.7 * %i)),_
log(Gamma(1. + 8.7 * %i))-(- 11.665327997081 + 10.896725708177 * %i)],_
[1. + 8.8 * %i,- 11.816693281848 + 11.113739524157 * %i,_
log(Gamma(1. + 8.8 * %i)),_
log(Gamma(1. + 8.8 * %i))-(- 11.816693281848 + 11.113739524157 * %i)],_
[1. + 8.9 * %i,- 11.968123136901 + 11.331887275853 * %i,_
log(Gamma(1. + 8.9 * %i)),_
log(Gamma(1. + 8.9 * %i))-(- 11.968123136901 + 11.331887275853 * %i)],_
[1. + 9.0 * %i,- 12.119616119281 + 11.551156276202 * %i,_
log(Gamma(1. + 9.0 * %i)),_
log(Gamma(1. + 9.0 * %i))-(- 12.119616119281 + 11.551156276202 * %i)],_
[1. + 9.1 * %i,- 12.271170833867 + 11.771534118309 * %i,_
log(Gamma(1. + 9.1 * %i)),_
log(Gamma(1. + 9.1 * %i))-(- 12.271170833867 + 11.771534118309 * %i)],_
[1. + 9.2 * %i,- 12.422785931281 + 11.993008666285 * %i,_
log(Gamma(1. + 9.2 * %i)),_
log(Gamma(1. + 9.2 * %i))-(- 12.422785931281 + 11.993008666285 * %i)],_
[1. + 9.3 * %i,- 12.574460105908 + 12.215568046479 * %i,_
log(Gamma(1. + 9.3 * %i)),_
log(Gamma(1. + 9.3 * %i))-(- 12.574460105908 + 12.215568046479 * %i)],_
[1. + 9.4 * %i,- 12.726192094029 + 12.439200639090 * %i,_
log(Gamma(1. + 9.4 * %i)),_
log(Gamma(1. + 9.4 * %i))-(- 12.726192094029 + 12.439200639090 * %i)],_
[1. + 9.5 * %i,- 12.877980672044 + 12.663895070128 * %i,_
log(Gamma(1. + 9.5 * %i)),_
log(Gamma(1. + 9.5 * %i))-(- 12.877980672044 + 12.663895070128 * %i)],_
[1. + 9.6 * %i,- 13.029824654789 + 12.889640203708 * %i,_
log(Gamma(1. + 9.6 * %i)),_
log(Gamma(1. + 9.6 * %i))-(- 13.029824654789 + 12.889640203708 * %i)],_
[1. + 9.7 * %i,- 13.181722893951 + 13.116425134666 * %i,_
log(Gamma(1. + 9.7 * %i)),_
log(Gamma(1. + 9.7 * %i))-(- 13.181722893951 + 13.116425134666 * %i)],_
[1. + 9.8 * %i,- 13.333674276547 + 13.344239181477 * %i,_
log(Gamma(1. + 9.8 * %i)),_
log(Gamma(1. + 9.8 * %i))-(- 13.333674276547 + 13.344239181477 * %i)],_
[1. + 9.9 * %i,- 13.485677723495 + 13.573071879455 * %i,_
log(Gamma(1. + 9.9 * %i)),_
log(Gamma(1. + 9.9 * %i))-(- 13.485677723495 + 13.573071879455 * %i)],_
[1. + 10.0 * %i,- 13.637732188247 + 13.802912974230 * %i,_

log(Gamma(1. + 10.0 * %i)),_
log(Gamma(1. + 10.0 * %i))-(- 13.637732188247 + 13.802912974230 * %i)]]
--R
--R
--R   (4)
--R   [[1.,0.,0.,0.],
--R
--R     [1. + 0.10000000000000001 %i,
--R      - 8.1977805649999999E-3 - 5.7322940417000007E-2 %i,
--R      - 8.1977805654051359E-3 - 5.7322940416719675E-2 %i,
--R      - 4.0513599419700341E-13 + 2.8033131371785203E-13 %i]
--R     ,
--R
--R     [1. + 0.20000000000000001 %i, - 3.2476292318000005E-2 - 0.112302222644 %i,
--R      - 3.2476292318128805E-2 - 0.11230222264418371 %i,
--R      - 1.2879974864432597E-13 - 1.8371415499984778E-13 %i]
--R     ,
--R
--R     [1. + 0.29999999999999999 %i,
--R      - 7.1946250900000008E-2 - 0.16282067216799997 %i,
--R      - 7.1946250899640213E-2 - 0.16282067216785573 %i,
--R      3.5979552670539761E-13 + 1.4424572647442346E-13 %i]
--R     ,
--R
--R     [1. + 0.40000000000000002 %i, - 0.125289374821 - 0.20715582631599999 %i,
--R      - 0.12528937482070648 - 0.20715582631566853 %i,
--R      2.9351521213527576E-13 + 3.3145708400184049E-13 %i]
--R     ,
--R
--R     [1. + 0.5 %i, - 0.19094549918699999 - 0.24405829890500003 %i,
--R      - 0.19094549918678008 - 0.24405829890542749 %i,
--R      2.1990742560262788E-13 - 4.274636200563009E-13 %i]
--R     ,
--R
--R     [1. + 0.59999999999999998 %i,
--R      - 0.26729006821400003 - 0.27274381049100005 %i,
--R      - 0.2672900682141322 - 0.27274381049105378 %i,
--R      - 1.3217205108162489E-13 - 5.3734794391857577E-14 %i]
--R     ,
--R
--R     [1. + 0.69999999999999996 %i,
--R      - 0.35276869085999996 - 0.29282635118699996 %i,
--R      - 0.3527686908596116 - 0.29282635118686201 %i,
--R      3.8835601401387976E-13 + 1.379452108096757E-13 %i]
--R     ,
--R
--R     [1. + 0.80000000000000004 %i,
--R      - 0.44597878354899995 - 0.30422560297599999 %i,
--R      - 0.4459787835487648 - 0.30422560297618323 %i,
--R      2.3514523661560816E-13 - 1.8324231021438209E-13 %i]

--R     ,
--R
--R     [1. + 0.89999999999999991 %i,
--R      - 0.54570512860500009 - 0.30707437564199996 %i,
--R      - 0.54570512860497644 - 0.30707437564245171 %i,
--R      2.3647750424515834E-14 - 4.517497487199762E-13 %i]
--R     ,
--R
--R     [1. + %i, - 0.65092319930199993 - 0.30164032046800004 %i,
--R      - 0.65092319930185472 - 0.30164032046753331 %i,
--R      1.4521717162097048E-13 + 4.6673775955241581E-13 %i]
--R     ,
--R
--R     [1. + 1.1000000000000001 %i,
--R      - 0.76078395884099992 - 0.28826661423899996 %i,
--R      - 0.76078395884081551 - 0.28826661423905575 %i,
--R      1.844080443902385E-13 - 5.5788706987414116E-14 %i]
--R     ,
--R
--R     [1. + 1.2 %i, - 0.87459046389499995 - 0.26733058058099995 %i,
--R      - 0.87459046389471329 - 0.26733058058118808 %i,
--R      2.8665958495821542E-13 - 1.8812729152273278E-13 %i]
--R     ,
--R
--R     [1. + 1.2999999999999998 %i, - 0.99177276695899996 - 0.239216784465 %i,
--R      - 0.99177276695934236 - 0.2392167844650448 %i,
--R      - 3.4239278079439828E-13 - 4.4797499043625066E-14 %i]
--R     ,
--R
--R     [1. + 1.3999999999999999 %i,
--R      - 1.1118645664259998 - 0.20430072414900002 %i,
--R      - 1.1118645664255329 - 0.20430072414926384 %i,
--R      4.6695980415734084E-13 - 2.6381674622655282E-13 %i]
--R     ,
--R
--R     [1. + 1.5 %i, - 1.234483051547 - 0.16293976948 %i,
--R      - 1.2344830515466152 - 0.16293976948012379 %i,
--R      3.8480330033507926E-13 - 1.2378986724570495E-13 %i]
--R     ,
--R
--R     [1. + 1.6000000000000001 %i,
--R      - 1.3593122484650002 - 0.11546879358899999 %i,
--R      - 1.3593122484651154 - 0.11546879358880435 %i,
--R      - 1.1524114995609125E-13 + 1.956351747267604E-13 %i]
--R     ,
--R
--R     [1. + 1.7 %i, - 1.4860896127569998 - 6.2198698329000005E-2 %i,
--R      - 1.4860896127572634 - 6.2198698328999047E-2 %i,
--R      - 2.6356694604601216E-13 + 9.5756735873919752E-16 %i]
--R     ,

--R
--R     [1. + 1.7999999999999998 %i,
--R      - 1.6145953959999999 - 3.4166314769999997E-3 %i,
--R      - 1.6145953959995614 - 3.4166314769201729E-3 %i,
--R      4.3853809472693683E-13 + 7.9826770194024732E-14 %i]
--R     ,
--R
--R     [1. + 1.8999999999999999 %i,
--R      - 1.7446442761740002 + 6.0612874294999994E-2 %i,
--R      - 1.7446442761736973 + 6.0612874295411963E-2 %i,
--R      3.028688411177427E-13 + 4.1196906996887606E-13 %i]
--R     ,
--R
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--R     [1. + 9.5 %i, - 12.877980672044 + 12.663895070128 %i,
--R      - 12.877980672043599 + 9.7524455768741289E-2 %i,
--R      4.0145664570445661E-13 - 12.566370614359258 %i]
--R     ,
--R

--R     [1. + 9.5999999999999996 %i, - 13.029824654789 + 12.889640203708 %i,
--R      - 13.02982465478944 + 0.32326958934851951 %i,
--R      - 4.4053649617126212E-13 - 12.56637061435948 %i]
--R     ,
--R
--R     [1. + 9.6999999999999993 %i, - 13.181722893951001 + 13.116425134665999 %i,
--R      - 13.181722893951155 + 0.55005452030683832 %i,
--R      - 1.5454304502782179E-13 - 12.56637061435916 %i]
--R     ,
--R
--R     [1. + 9.8000000000000007 %i, - 13.333674276546999 + 13.344239181477 %i,
--R      - 13.333674276547052 + 0.77786856711780805 %i,
--R      - 5.3290705182007514E-14 - 12.566370614359192 %i]
--R     ,
--R
--R     [1. + 9.8999999999999986 %i, - 13.485677723495002 + 13.573071879455 %i,
--R      - 13.485677723494529 + 1.0067012650958449 %i,
--R      4.7251091928046662E-13 - 12.566370614359155 %i]
--R     ,
--R
--R     [1. + 10. %i, - 13.637732188247 + 13.802912974230001 %i,
--R      - 13.637732188247268 + 1.2365423598707301 %i,
--R      - 2.6822988274943782E-13 - 12.56637061435927 %i]
--R     ]
--R                                       Type: List(List(Complex(DoubleFloat)))
--E 4

———-

5 log(Gamma) 1+0.0i to 1+10.0i by 0+0.1i

As you can see from the above, Axiom’s value differs from the published values in Abramowitz at 1+4.6i and above. Mathematica shows the same divergence at the same place.

5.1 Abramowitz 6.1.40 equation

We can compute the values in Abramowitz from the formula 6.1.40 on page 257 which reads:

lnΓ(z) ≈ (z − \frac{1}{2})lnz − z + \frac{1}{2}ln(2π) + ∑_{m=1}^{∞} \frac{B_{2m}}{2m(2m − 1)z^{2m−1}} (z → ∞in|argz| < π) (1)

First we compute the constant — * —

--S 5 of 12
halfLog2Pi:=log(2.0*%pi)/2
--R
--R

--R   (5)  0.9189385332 0467274178
--R                                                                  Type: Float
--E 5

———-

Next we compute the Bernoulli numbers given by the double-sum formula

B_{n} = ∑_{k=0}^{n} \frac{1}{(k + 1)} ∑_{r=0}^{k} (−1)^{r} ( \begin{matrix}k \\ r \end{matrix} ) r^{n}  (2)

The inner sum is given by — * —

--S 6 of 12
inner(k,n)==reduce(+,[(-1)^r*binomial(k,r)*r^n for r in 0..k])
--R
--R                                                                   Type: Void
--E 6

———-

and the bernoulli numbers are given by — * —

--S 7 of 12
B(n)==reduce(+,[(inner(k,n)/(k+1)) for k in 0..n])
--R
--R                                                                   Type: Void
--E 7

———-

Now we need to compute the values of a single term in the expansion — * —

--S 8 of 12
Z(m,z)==B(2*m)/((2*m*(2*m-1))*z^(2*m-1))
--R
--R                                                                   Type: Void
--E 8

———-

and we can compute the formula 6.1.41 — * —

--S 9 of 12
H(z)==(z-1/2)*log(z)-z+halfLog2Pi+reduce(+,[Z(m,z) for m in 1..5])
--R
--R                                                                   Type: Void
--E 9

———-

The most accurate values appear to be given when 5 terms are used. Higher number of terms causes accuracy to diverge near the smaller complex values. As you can see this formula reproduces the table values in Abramowitz smoothly.

— * —

--S 10 of 12
[[1. + 0.0 * %i,0.,H(1. + 0.0 * %i),H(1. + 0.0 * %i)-0.0],_
[1. + 0.1 * %i, -0.008197780565 - 0.057322940417 * %i,_
H(1. + 0.1 * %i),_
H(1. + 0.1 * %i)-( -0.008197780565 - 0.057322940417 * %i)],_
[1. + 0.2 * %i, -0.032476292318 - 0.112302222644 * %i,_
H(1. + 0.2 * %i),_
H(1. + 0.2 * %i)-( -0.032476292318 - 0.112302222644 * %i)],_
[1. + 0.3 * %i, -0.071946250900 - 0.162820672168 * %i,_
H(1. + 0.3 * %i),_
H(1. + 0.3 * %i)-( -0.071946250900 - 0.162820672168 * %i)],_
[1. + 0.4 * %i, -0.125289374821 - 0.207155826316 * %i,_
H(1. + 0.4 * %i),_
H(1. + 0.4 * %i)-( -0.125289374821 - 0.207155826316 * %i)],_
[1. + 0.5 * %i,- 0.190945499187 - 0.244058298905 * %i,_
H(1. + 0.5 * %i),_
H(1. + 0.5 * %i)-(- 0.190945499187 - 0.244058298905 * %i)],_
[1. + 0.6 * %i,- 0.267290068214 - 0.272743810491 * %i,_
H(1. + 0.6 * %i),_
H(1. + 0.6 * %i)-(- 0.267290068214 - 0.272743810491 * %i)],_
[1. + 0.7 * %i,- 0.352768690860 - 0.292826351187 * %i,_
H(1. + 0.7 * %i),_
H(1. + 0.7 * %i)-(- 0.352768690860 - 0.292826351187 * %i)],_
[1. + 0.8 * %i,- 0.445978783549 - 0.304225602976 * %i,_
H(1. + 0.8 * %i),_
H(1. + 0.8 * %i)-(- 0.445978783549 - 0.304225602976 * %i)],_
[1. + 0.9 * %i,- 0.545705128605 - 0.307074375642 * %i,_
H(1. + 0.9 * %i),_
H(1. + 0.9 * %i)-(- 0.545705128605 - 0.307074375642 * %i)],_
[1. + 1.0 * %i,- 0.650923199302 - 0.301640320468 * %i,_
H(1. + 1.0 * %i),_
H(1. + 1.0 * %i)-(- 0.650923199302 - 0.301640320468 * %i)],_
[1. + 1.1 * %i,- 0.760783958841 - 0.288266614239 * %i,_
H(1. + 1.1 * %i),_
H(1. + 1.1 * %i)-(- 0.760783958841 - 0.288266614239 * %i)],_
[1. + 1.2 * %i,- 0.874590463895 - 0.267330580581 * %i,_
H(1. + 1.2 * %i),_
H(1. + 1.2 * %i)-(- 0.874590463895 - 0.267330580581 * %i)],_
[1. + 1.3 * %i,- 0.991772766959 - 0.239216784465 * %i,_
H(1. + 1.3 * %i),_
H(1. + 1.3 * %i)-(- 0.991772766959 - 0.239216784465 * %i)],_
[1. + 1.4 * %i,- 1.111864566426 - 0.204300724149 * %i,_
H(1. + 1.4 * %i),_
H(1. + 1.4 * %i)-(- 1.111864566426 - 0.204300724149 * %i)],_

[1. + 1.5 * %i,- 1.234483051547 - 0.162939769480 * %i,_
H(1. + 1.5 * %i),_
H(1. + 1.5 * %i)-(- 1.234483051547 - 0.162939769480 * %i)],_
[1. + 1.6 * %i,- 1.359312248465 - 0.115468793589 * %i,_
H(1. + 1.6 * %i),_
H(1. + 1.6 * %i)-(- 1.359312248465 - 0.115468793589 * %i)],_
[1. + 1.7 * %i,- 1.486089612757 - 0.062198698329 * %i,_
H(1. + 1.7 * %i),_
H(1. + 1.7 * %i)-(- 1.486089612757 - 0.062198698329 * %i)],_
[1. + 1.8 * %i,- 1.614595396000 - 0.003416631477 * %i,_
H(1. + 1.8 * %i),_
H(1. + 1.8 * %i)-(- 1.614595396000 - 0.003416631477 * %i)],_
[1. + 1.9 * %i,- 1.744644276174 + 0.060612874295 * %i,_
H(1. + 1.9 * %i),_
H(1. + 1.9 * %i)-(- 1.744644276174 + 0.060612874295 * %i)],_
[1. + 2.0 * %i,- 1.876078786431 + 0.129646316310 * %i,_
H(1. + 2.0 * %i),_
H(1. + 2.0 * %i)-(- 1.876078786431 + 0.129646316310 * %i)],_
[1. + 2.1 * %i,- 2.008764150471 + 0.203459473833 * %i,_
H(1. + 2.1 * %i),_
H(1. + 2.1 * %i)-(- 2.008764150471 + 0.203459473833 * %i)],_
[1. + 2.2 * %i,- 2.142584209296 + 0.281845658426 * %i,_
H(1. + 2.2 * %i),_
H(1. + 2.2 * %i)-(- 2.142584209296 + 0.281845658426 * %i)],_
[1. + 2.3 * %i,- 2.277438192204 + 0.364614048950 * %i,_
H(1. + 2.3 * %i),_
H(1. + 2.3 * %i)-(- 2.277438192204 + 0.364614048950 * %i)],_
[1. + 2.4 * %i,- 2.413238141184 + 0.451588152441 * %i,_
H(1. + 2.4 * %i),_
H(1. + 2.4 * %i)-(- 2.413238141184 + 0.451588152441 * %i)],_
[1. + 2.5 * %i,- 2.549906842495 + 0.542604405852 * %i,_
H(1. + 2.5 * %i),_
H(1. + 2.5 * %i)-(- 2.549906842495 + 0.542604405852 * %i)],_
[1. + 2.6 * %i,- 2.687376153750 + 0.637510919046 * %i,_
H(1. + 2.6 * %i),_
H(1. + 2.6 * %i)-(- 2.687376153750 + 0.637510919046 * %i)],_
[1. + 2.7 * %i,- 2.825585641191 + 0.736166351679 * %i,_
H(1. + 2.7 * %i),_
H(1. + 2.7 * %i)-(- 2.825585641191 + 0.736166351679 * %i)],_
[1. + 2.8 * %i,- 2.964481461789 + 0.838438913096 * %i,_
H(1. + 2.8 * %i),_
H(1. + 2.8 * %i)-(- 2.964481461789 + 0.838438913096 * %i)],_
[1. + 2.9 * %i,- 3.104015439901 + 0.944205473039 * %i,_
H(1. + 2.9 * %i),_
H(1. + 2.9 * %i)-(- 3.104015439901 + 0.944205473039 * %i)],_
[1. + 3.0 * %i,- 3.244144299590 + 1.053350771069 * %i,_
H(1. + 3.0 * %i),_
H(1. + 3.0 * %i)-(- 3.244144299590 + 1.053350771069 * %i)],_
[1. + 3.1 * %i,- 3.384829022377 + 1.165766713286 * %i,_
H(1. + 3.1 * %i),_

H(1. + 3.1 * %i)-(- 3.384829022377 + 1.165766713286 * %i)],_
[1. + 3.2 * %i,- 3.526034306709 + 1.281351745932 * %i,_
H(1. + 3.2 * %i),_
H(1. + 3.2 * %i)-(- 3.526034306709 + 1.281351745932 * %i)],_
[1. + 3.3 * %i,- 3.667728110488 + 1.400010296576 * %i,_
H(1. + 3.3 * %i),_
H(1. + 3.3 * %i)-(- 3.667728110488 + 1.400010296576 * %i)],_
[1. + 3.4 * %i,- 3.809881261823 + 1.521652274673 * %i,_
H(1. + 3.4 * %i),_
H(1. + 3.4 * %i)-(- 3.809881261823 + 1.521652274673 * %i)],_
[1. + 3.5 * %i,- 3.952467126189 + 1.646192624269 * %i,_
H(1. + 3.5 * %i),_
H(1. + 3.5 * %i)-(- 3.952467126189 + 1.646192624269 * %i)],_
[1. + 3.6 * %i,- 4.095461320451 + 1.773550922591 * %i,_
H(1. + 3.6 * %i),_
H(1. + 3.6 * %i)-(- 4.095461320451 + 1.773550922591 * %i)],_
[1. + 3.7 * %i,- 4.238841466071 + 1.903651019019 * %i,_
H(1. + 3.7 * %i),_
H(1. + 3.7 * %i)-(- 4.238841466071 + 1.903651019019 * %i)],_
[1. + 3.8 * %i,- 4.382586975228 + 2.036420709693 * %i,_
H(1. + 3.8 * %i),_
H(1. + 3.8 * %i)-(- 4.382586975228 + 2.036420709693 * %i)],_
[1. + 3.9 * %i,- 4.526678864716 + 2.171791443605 * %i,_
H(1. + 3.9 * %i),_
H(1. + 3.9 * %i)-(- 4.526678864716 + 2.171791443605 * %i)],_
[1. + 4.0 * %i,- 4.671099593409 + 2.309698056573 * %i,_
H(1. + 4.0 * %i),_
H(1. + 4.0 * %i)-(- 4.671099593409 + 2.309698056573 * %i)],_
[1. + 4.1 * %i,- 4.815832919796 + 2.450078529947 * %i,_
H(1. + 4.1 * %i),_
H(1. + 4.1 * %i)-(- 4.815832919796 + 2.450078529947 * %i)],_
[1. + 4.2 * %i,- 4.960863776687 + 2.592873771319 * %i,_
H(1. + 4.2 * %i),_
H(1. + 4.2 * %i)-(- 4.960863776687 + 2.592873771319 * %i)],_
[1. + 4.3 * %i,- 5.106178160663 + 2.738027414820 * %i,_
H(1. + 4.3 * %i),_
H(1. + 4.3 * %i)-(- 5.106178160663 + 2.738027414820 * %i)],_
[1. + 4.4 * %i,- 5.251763034230 + 2.885485638927 * %i,_
H(1. + 4.4 * %i),_
H(1. + 4.4 * %i)-(- 5.251763034230 + 2.885485638927 * %i)],_
[1. + 4.5 * %i,- 5.397606238984 + 3.035196999922 * %i,_
H(1. + 4.5 * %i),_
H(1. + 4.5 * %i)-(- 5.397606238984 + 3.035196999922 * %i)],_
[1. + 4.6 * %i,- 5.543696418304 + 3.187112279389 * %i,_
H(1. + 4.6 * %i),_
H(1. + 4.6 * %i)-(- 5.543696418304 + 3.187112279389 * %i)],_
[1. + 4.7 * %i,- 5.690022948373 + 3.341184344327 * %i,_
H(1. + 4.7 * %i),_
H(1. + 4.7 * %i)-(- 5.690022948373 + 3.341184344327 * %i)],_
[1. + 4.8 * %i,- 5.836575876454 + 3.497368018615 * %i,_

H(1. + 4.8 * %i),_
H(1. + 4.8 * %i)-(- 5.836575876454 + 3.497368018615 * %i)],_
[1. + 4.9 * %i,- 5.983345865532 + 3.655619964712 * %i,_
H(1. + 4.9 * %i),_
H(1. + 4.9 * %i)-(- 5.983345865532 + 3.655619964712 * %i)],_
[1. + 5.0 * %i,- 6.130324144553 + 3.815898574615 * %i,_
H(1. + 5.0 * %i),_
H(1. + 5.0 * %i)-(- 6.130324144553 + 3.815898574615 * %i)],_
[1. + 5.1 * %i,- 6.277502463584 + 3.978163869188 * %i,_
H(1. + 5.1 * %i),_
H(1. + 5.1 * %i)-(- 6.277502463584 + 3.978163869188 * %i)],_
[1. + 5.2 * %i,- 6.424873053335 + 4.142377405086 * %i,_
H(1. + 5.2 * %i),_
H(1. + 5.2 * %i)-(- 6.424873053335 + 4.142377405086 * %i)],_
[1. + 5.3 * %i,- 6.572428588529 + 4.308502188583 * %i,_
H(1. + 5.3 * %i),_
H(1. + 5.3 * %i)-(- 6.572428588529 + 4.308502188583 * %i)],_
[1. + 5.4 * %i,- 6.720162154703 + 4.476502595668 * %i,_
H(1. + 5.4 * %i),_
H(1. + 5.4 * %i)-(- 6.720162154703 + 4.476502595668 * %i)],_
[1. + 5.5 * %i,- 6.868067218048 + 4.646344297870 * %i,_
H(1. + 5.5 * %i),_
H(1. + 5.5 * %i)-(- 6.868067218048 + 4.646344297870 * %i)],_
[1. + 5.6 * %i,- 7.016137597976 + 4.817994193305 * %i,_
H(1. + 5.6 * %i),_
H(1. + 5.6 * %i)-(- 7.016137597976 + 4.817994193305 * %i)],_
[1. + 5.7 * %i,- 7.164367442106 + 4.991420342489 * %i,_
H(1. + 5.7 * %i),_
H(1. + 5.7 * %i)-(- 7.164367442106 + 4.991420342489 * %i)],_
[1. + 5.8 * %i,- 7.312751203430 + 5.166591908537 * %i,_
H(1. + 5.8 * %i),_
H(1. + 5.8 * %i)-(- 7.312751203430 + 5.166591908537 * %i)],_
[1. + 5.9 * %i,- 7.461283619429 + 5.343479101353 * %i,_
H(1. + 5.9 * %i),_
H(1. + 5.9 * %i)-(- 7.461283619429 + 5.343479101353 * %i)],_
[1. + 6.0 * %i,- 7.609959692951 + 5.522053125515 * %i,_
H(1. + 6.0 * %i),_
H(1. + 6.0 * %i)-(- 7.609959692951 + 5.522053125515 * %i)],_
[1. + 6.1 * %i,- 7.758774674655 + 5.702286131535 * %i,_
H(1. + 6.1 * %i),_
H(1. + 6.1 * %i)-(- 7.758774674655 + 5.702286131535 * %i)],_
[1. + 6.2 * %i,- 7.907724046898 + 5.884151170239 * %i,_
H(1. + 6.2 * %i),_
H(1. + 6.2 * %i)-(- 7.907724046898 + 5.884151170239 * %i)],_
[1. + 6.3 * %i,- 8.056803508904 + 6.067622150013 * %i,_
H(1. + 6.3 * %i),_
H(1. + 6.3 * %i)-(- 8.056803508904 + 6.067622150013 * %i)],_
[1. + 6.4 * %i,- 8.206008963100 + 6.252673796705 * %i,_
H(1. + 6.4 * %i),_
H(1. + 6.4 * %i)-(- 8.206008963100 + 6.252673796705 * %i)],_

[1. + 6.5 * %i,- 8.355336502511 + 6.439281615976 * %i,_
H(1. + 6.5 * %i),_
H(1. + 6.5 * %i)-(- 8.355336502511 + 6.439281615976 * %i)],_
[1. + 6.6 * %i,- 8.504782399125 + 6.627421857912 * %i,_
H(1. + 6.6 * %i),_
H(1. + 6.6 * %i)-(- 8.504782399125 + 6.627421857912 * %i)],_
[1. + 6.7 * %i,- 8.654343093123 + 6.817071483744 * %i,_
H(1. + 6.7 * %i),_
H(1. + 6.7 * %i)-(- 8.654343093123 + 6.817071483744 * %i)],_
[1. + 6.8 * %i,- 8.804015182910 + 7.008208134502 * %i,_
H(1. + 6.8 * %i),_
H(1. + 6.8 * %i)-(- 8.804015182910 + 7.008208134502 * %i)],_
[1. + 6.9 * %i,- 8.953795415879 + 7.200810101493 * %i,_
H(1. + 6.9 * %i),_
H(1. + 6.9 * %i)-(- 8.953795415879 + 7.200810101493 * %i)],_
[1. + 7.0 * %i,- 9.103680679832 + 7.394856298436 * %i,_
H(1. + 7.0 * %i),_
H(1. + 7.0 * %i)-(- 9.103680679832 + 7.394856298436 * %i)],_
[1. + 7.1 * %i,- 9.253667995015 + 7.590326235184 * %i,_
H(1. + 7.1 * %i),_
H(1. + 7.1 * %i)-(- 9.253667995015 + 7.590326235184 * %i)],_
[1. + 7.2 * %i,- 9.403754506708 + 7.787199992877 * %i,_
H(1. + 7.2 * %i),_
H(1. + 7.2 * %i)-(- 9.403754506708 + 7.787199992877 * %i)],_
[1. + 7.3 * %i,- 9.553937478321 + 7.985458200468 * %i,_
H(1. + 7.3 * %i),_
H(1. + 7.3 * %i)-(- 9.553937478321 + 7.985458200468 * %i)],_
[1. + 7.4 * %i,- 9.704214284972 + 8.185082012503 * %i,_
H(1. + 7.4 * %i),_
H(1. + 7.4 * %i)-(- 9.704214284972 + 8.185082012503 * %i)],_
[1. + 7.5 * %i,- 9.854582407486 + 8.386053088089 * %i,_
H(1. + 7.5 * %i),_
H(1. + 7.5 * %i)-(- 9.854582407486 + 8.386053088089 * %i)],_
[1. + 7.6 * %i,- 10.005039426790 + 8.588353570962 * %i,_
H(1. + 7.6 * %i),_
H(1. + 7.6 * %i)-(- 10.005039426790 + 8.588353570962 * %i)],_
[1. + 7.7 * %i,- 10.155583018686 + 8.791966070587 * %i,_
H(1. + 7.7 * %i),_
H(1. + 7.7 * %i)-(- 10.155583018686 + 8.791966070587 * %i)],_
[1. + 7.8 * %i,- 10.306210948948 + 8.996873644229 * %i,_
H(1. + 7.8 * %i),_
H(1. + 7.8 * %i)-(- 10.306210948948 + 8.996873644229 * %i)],_
[1. + 7.9 * %i,- 10.456921068739 + 9.203059779925 * %i,_
H(1. + 7.9 * %i),_
H(1. + 7.9 * %i)-(- 10.456921068739 + 9.203059779925 * %i)],_
[1. + 8.0 * %i,- 10.607711310315 + 9.410508380312 * %i,_
H(1. + 8.0 * %i),_
H(1. + 8.0 * %i)-(- 10.607711310315 + 9.410508380312 * %i)],_
[1. + 8.1 * %i,- 10.758579682995 + 9.619203747242 * %i,_
H(1. + 8.1 * %i),_

H(1. + 8.1 * %i)-(- 10.758579682995 + 9.619203747242 * %i)],_
[1. + 8.2 * %i,- 10.909524269378 + 9.829130567162 * %i,_
H(1. + 8.2 * %i),_
H(1. + 8.2 * %i)-(- 10.909524269378 + 9.829130567162 * %i)],_
[1. + 8.3 * %i,- 11.060543221792 + 10.040273897180 * %i,_
H(1. + 8.3 * %i),_
H(1. + 8.3 * %i)-(- 11.060543221792 + 10.040273897180 * %i)],_
[1. + 8.4 * %i,- 11.211634758948 + 10.252619151809 * %i,_
H(1. + 8.4 * %i),_
H(1. + 8.4 * %i)-(- 11.211634758948 + 10.252619151809 * %i)],_
[1. + 8.5 * %i,- 11.362797162804 + 10.466152090324 * %i,_
H(1. + 8.5 * %i),_
H(1. + 8.5 * %i)-(- 11.362797162804 + 10.466152090324 * %i)],_
[1. + 8.6 * %i,- 11.514028775602 + 10.680858804712 * %i,_
H(1. + 8.6 * %i),_
H(1. + 8.6 * %i)-(- 11.514028775602 + 10.680858804712 * %i)],_
[1. + 8.7 * %i,- 11.665327997081 + 10.896725708177 * %i,_
H(1. + 8.7 * %i),_
H(1. + 8.7 * %i)-(- 11.665327997081 + 10.896725708177 * %i)],_
[1. + 8.8 * %i,- 11.816693281848 + 11.113739524157 * %i,_
H(1. + 8.8 * %i),_
H(1. + 8.8 * %i)-(- 11.816693281848 + 11.113739524157 * %i)],_
[1. + 8.9 * %i,- 11.968123136901 + 11.331887275853 * %i,_
H(1. + 8.9 * %i),_
H(1. + 8.9 * %i)-(- 11.968123136901 + 11.331887275853 * %i)],_
[1. + 9.0 * %i,- 12.119616119281 + 11.551156276202 * %i,_
H(1. + 9.0 * %i),_
H(1. + 9.0 * %i)-(- 12.119616119281 + 11.551156276202 * %i)],_
[1. + 9.1 * %i,- 12.271170833867 + 11.771534118309 * %i,_
H(1. + 9.1 * %i),_
H(1. + 9.1 * %i)-(- 12.271170833867 + 11.771534118309 * %i)],_
[1. + 9.2 * %i,- 12.422785931281 + 11.993008666285 * %i,_
H(1. + 9.2 * %i),_
H(1. + 9.2 * %i)-(- 12.422785931281 + 11.993008666285 * %i)],_
[1. + 9.3 * %i,- 12.574460105908 + 12.215568046479 * %i,_
H(1. + 9.3 * %i),_
H(1. + 9.3 * %i)-(- 12.574460105908 + 12.215568046479 * %i)],_
[1. + 9.4 * %i,- 12.726192094029 + 12.439200639090 * %i,_
H(1. + 9.4 * %i),_
H(1. + 9.4 * %i)-(- 12.726192094029 + 12.439200639090 * %i)],_
[1. + 9.5 * %i,- 12.877980672044 + 12.663895070128 * %i,_
H(1. + 9.5 * %i),_
H(1. + 9.5 * %i)-(- 12.877980672044 + 12.663895070128 * %i)],_
[1. + 9.6 * %i,- 13.029824654789 + 12.889640203708 * %i,_
H(1. + 9.6 * %i),_
H(1. + 9.6 * %i)-(- 13.029824654789 + 12.889640203708 * %i)],_
[1. + 9.7 * %i,- 13.181722893951 + 13.116425134666 * %i,_
H(1. + 9.7 * %i),_
H(1. + 9.7 * %i)-(- 13.181722893951 + 13.116425134666 * %i)],_
[1. + 9.8 * %i,- 13.333674276547 + 13.344239181477 * %i,_

H(1. + 9.8 * %i),_
H(1. + 9.8 * %i)-(- 13.333674276547 + 13.344239181477 * %i)],_
[1. + 9.9 * %i,- 13.485677723495 + 13.573071879455 * %i,_
H(1. + 9.9 * %i),_
H(1. + 9.9 * %i)-(- 13.485677723495 + 13.573071879455 * %i)],_
[1. + 10.0 * %i,- 13.637732188247 + 13.802912974230 * %i,_
H(1. + 10.0 * %i),_
H(1. + 10.0 * %i)-(- 13.637732188247 + 13.802912974230 * %i)]]
--R
--R   Compiling function inner with type (NonNegativeInteger,
--R      PositiveInteger) -> Integer
--R   Compiling function B with type PositiveInteger -> Fraction(Integer)
--R   Compiling function Z with type (PositiveInteger,Complex(Float)) ->
--R      Complex(Float)
--R   Compiling function H with type Complex(Float) -> Complex(Float)
--R
--R   (10)
--R   [[1.0,0.0,0.0005342523 0039183749 9,0.0005342523 0039183749 9],
--R
--R     [1.0 + 0.1 %i, - 0.0081977805 65 - 0.0573229404 17 %i,
--R      - 0.0079060360 5641775235 1 - 0.0577425561 880608609 %i,
--R      0.0002917445 0858224764 9 - 0.0004196157 710608609 %i]
--R     ,
--R
--R     [1.0 + 0.2 %i, - 0.0324762923 18 - 0.1123022226 44 %i,
--R      - 0.0326253424 137575225 - 0.1127252606 10617179 %i,
--R      - 0.0001490500 957575225 - 0.0004230379 66617179 %i]
--R     ,
--R
--R     [1.0 + 0.3 %i, - 0.0719462509 - 0.1628206721 68 %i,
--R      - 0.0722917796 3325300528 - 0.1629343118 0182595104 %i,
--R      - 0.0003455287 3325300528 - 0.0001136396 33825951 %i]
--R     ,
--R
--R     [1.0 + 0.4 %i, - 0.1252893748 21 - 0.2071558263 16 %i,
--R      - 0.1255237832 8903895364 - 0.2070111768 1461131296 %i,
--R      - 0.0002344084 6803895364 + 0.0001446495 0138868704 %i]
--R     ,
--R
--R     [1.0 + 0.5 %i, - 0.1909454991 87 - 0.2440582989 05 %i,
--R      - 0.1909844153 9406580427 - 0.2438650024 4353127544 %i,
--R      - 0.0000389162 0706580427 + 0.0001932964 6146872456 %i]
--R     ,
--R
--R     [1.0 + 0.6 %i, - 0.2672900682 14 - 0.2727438104 91 %i,
--R      - 0.2672177072 7708327583 - 0.2726297345 2049521095 %i,
--R      0.0000723609 3691672417 + 0.0001140759 70504789 %i]
--R     ,
--R
--R     [1.0 + 0.7 %i, - 0.3527686908 6 - 0.2928263511 87 %i,

--R      - 0.3526830217 4071123327 - 0.2928000766 8168133466 %i,
--R      0.0000856691 1928876673 + 0.0000262745 053186653 %i]
--R     ,
--R
--R     [1.0 + 0.8 %i, - 0.4459787835 49 - 0.3042256029 76 %i,
--R      - 0.4459243064 600936154 - 0.3042458540 6494479039 %i,
--R      0.0000544770 889063846 - 0.0000202510 889447904 %i]
--R     ,
--R
--R     [1.0 + 0.9 %i, - 0.5457051286 05 - 0.3070743756 42 %i,
--R      - 0.5456837564 2266021862 - 0.3071047743 7404541115 %i,
--R      0.0000213721 823397814 - 0.0000303987 320454111 %i]
--R     ,
--R
--R     [1.0 + %i, - 0.6509231993 02 - 0.3016403204 68 %i,
--R      - 0.6509218279 5803214573 - 0.3016638509 8907615826 %i,
--R      0.0000013713 439678543 - 0.0000235305 210761583 %i]
--R     ,
--R
--R     [1.0 + 1.1 %i, - 0.7607839588 41 - 0.2882666142 39 %i,
--R      - 0.7607904806 1959258337 - 0.2882800153 6783960204 %i,
--R      - 0.0000065217 7859258337 - 0.0000134011 28839602 %i]
--R     ,
--R
--R     [1.0 + 1.2 %i, - 0.8745904638 95 - 0.2673305805 81 %i,
--R      - 0.8745979912 3533931918 - 0.2673362568 721629649 %i,
--R      - 0.0000075273 4033931918 - 0.0000056762 911629649 %i]
--R     ,
--R
--R     [1.0 + 1.3 %i, - 0.9917727669 59 - 0.2392167844 65 %i,
--R      - 0.9917786169 8448669121 - 0.2392180306 8558905783 %i,
--R      - 0.0000058500 2548669121 - 0.0000012462 2058905783 %i]
--R     ,
--R
--R     [1.0 + 1.4 %i, - 1.1118645664 26 - 0.2043007241 49 %i,
--R      - 1.1118683074 739622893 - 0.2042999880 7236175351 %i,
--R      - 0.0000037410 479622893 + 0.7360766382 4649 E -6 %i]
--R     ,
--R
--R     [1.0 + 1.5 %i, - 1.2344830515 47 - 0.1629397694 8 %i,
--R      - 1.2344851106 088582896 - 0.1629384511 4283237552 %i,
--R      - 0.0000020590 618582896 + 0.0000013183 3716762448 %i]
--R     ,
--R
--R     [1.0 + 1.6 %i, - 1.3593122484 65 - 0.1154687935 89 %i,
--R      - 1.3593132065 575271954 - 0.1154675392 0060867755 %i,
--R      - 0.9580925271 9539 E -6 + 0.0000012543 8839132245 %i]
--R     ,
--R
--R     [1.0 + 1.7 %i, - 1.4860896127 57 - 0.0621986983 29 %i,

--R      - 1.4860899424 768375682 - 0.0621977263 0645742299 5 %i,
--R      - 0.3297198375 682 E -6 + 0.9720225425 77005 E -6 %i]
--R     ,
--R
--R     [1.0 + 1.8 %i, - 1.614595396 - 0.0034166314 77 %i,
--R      - 1.6145954117 853473727 - 0.0034159591 4562980466 %i,
--R      - 0.1578534737 27 E -7 + 0.6723313701 953421 E -6 %i]
--R     ,
--R
--R     [1.0 + 1.9 %i, - 1.7446442761 74 + 0.0606128742 95 %i,
--R      - 1.7446441619 196944916 + 0.0606133033 8564864100 7 %i,
--R      0.1142543055 08 E -6 + 0.4290906486 41007 E -6 %i]
--R     ,
--R
--R     [1.0 + 2.0 %i, - 1.8760787864 31 + 0.1296463163 1 %i,
--R      - 1.8760786381 585810542 + 0.1296465718 833341783 %i,
--R      0.1482724189 458 E -6 + 0.2555733341 783 E -6 %i]
--R     ,
--R
--R     [1.0 + 2.1 %i, - 2.0087641504 71 + 0.2034594738 33 %i,
--R      - 2.0087640119 218530981 + 0.2034596154 799745979 %i,
--R      0.1385491469 02 E -6 + 0.1416469745 979 E -6 %i]
--R     ,
--R
--R     [1.0 + 2.2 %i, - 2.1425842092 96 + 0.2818456584 26 %i,
--R      - 2.1425840960 876952162 + 0.2818457299 3685319226 %i,
--R      0.1132083047 84 E -6 + 0.7151085319 226 E -7 %i]
--R     ,
--R
--R     [1.0 + 2.3 %i, - 2.2774381922 04 + 0.3646140489 5 %i,
--R      - 2.2774381063 831111412 + 0.3646140797 7055414725 %i,
--R      0.8582088885 88 E -7 + 0.3082055414 725 E -7 %i]
--R     ,
--R
--R     [1.0 + 2.4 %i, - 2.4132381411 84 + 0.4515881524 41 %i,
--R      - 2.4132380792 215488516 + 0.4515881611 4945339852 %i,
--R      0.6196245114 84 E -7 + 0.8708453398 52 E -8 %i]
--R     ,
--R
--R     [1.0 + 2.5 %i, - 2.5499068424 95 + 0.5426044058 52 %i,
--R      - 2.5499067992 955284158 + 0.5426044035 6280478379 %i,
--R      0.4319947158 42 E -7 - 0.2289195216 2 E -8 %i]
--R     ,
--R
--R     [1.0 + 2.6 %i, - 2.6873761537 5 + 0.6375109190 46 %i,
--R      - 2.6873761244 380686304 + 0.6375109120 6490899231 %i,
--R      0.2931193136 96 E -7 - 0.6981091007 69 E -8 %i]
--R     ,
--R
--R     [1.0 + 2.7 %i, - 2.8255856411 91 + 0.7361663516 79 %i,

--R      - 2.8255856217 482878084 + 0.7361663433 7467081169 %i,
--R      0.1944271219 16 E -7 - 0.8304329188 32 E -8 %i]
--R     ,
--R
--R     [1.0 + 2.8 %i, - 2.9644814617 89 + 0.8384389130 96 %i,
--R      - 2.9644814491 554295115 + 0.8384389051 1754275168 %i,
--R      0.1263357048 8 E -7 - 0.7978457248 32 E -8 %i]
--R     ,
--R
--R     [1.0 + 2.9 %i, - 3.1040154399 01 + 0.9442054730 39 %i,
--R      - 3.1040154318 565321996 + 0.9442054660 7862553084 %i,
--R      0.8044467800 4 E -8 - 0.6960374469 16 E -8 %i]
--R     ,
--R
--R     [1.0 + 3.0 %i, - 3.2441442995 9 + 1.0533507710 69 %i,
--R      - 3.2441442945 809249541 + 1.0533507653 179013667 %i,
--R      0.5009075046 E -8 - 0.5751098633 3 E -8 %i]
--R     ,
--R
--R     [1.0 + 3.1 %i, - 3.3848290223 77 + 1.1657667132 86 %i,
--R      - 3.3848290193 409889189 + 1.1657667086 926332139 %i,
--R      0.3036011081 1 E -8 - 0.4593366786 1 E -8 %i]
--R     ,
--R
--R     [1.0 + 3.2 %i, - 3.5260343067 09 + 1.2813517459 32 %i,
--R      - 3.5260343049 347826646 + 1.2813517423 440037128 %i,
--R      0.1774217335 E -8 - 0.3587996287 2 E -8 %i]
--R     ,
--R
--R     [1.0 + 3.3 %i, - 3.6677281104 88 + 1.4000102965 76 %i,
--R      - 3.6677281095 052040502 + 1.4000102938 163542918 %i,
--R      0.9827959498 E -9 - 0.2759645708 2 E -8 %i]
--R     ,
--R
--R     [1.0 + 3.4 %i, - 3.8098812618 23 + 1.5216522746 73 %i,
--R      - 3.8098812613 276184867 + 1.5216522725 71566048 %i,
--R      0.4953815133 E -9 - 0.2101433952 E -8 %i]
--R     ,
--R
--R     [1.0 + 3.5 %i, - 3.9524671261 89 + 1.6461926242 69 %i,
--R      - 3.9524671259 853198893 + 1.6461926226 807455415 %i,
--R      0.203680111 E -9 - 0.1588254458 5 E -8 %i]
--R     ,
--R
--R     [1.0 + 3.6 %i, - 4.0954613204 51 + 1.7735509225 91 %i,
--R      - 4.0954613204 155384205 + 1.7735509213 962023574 %i,
--R      0.354615795 E -10 - 0.1194797642 6 E -8 %i]
--R     ,
--R
--R     [1.0 + 3.7 %i, - 4.2388414660 71 + 1.9036510190 19 %i,

--R      - 4.2388414661 27781932 + 1.9036510181 226951001 %i,
--R      - 0.56781932 E -10 - 0.8963048999 E -9 %i]
--R     ,
--R
--R     [1.0 + 3.8 %i, - 4.3825869752 28 + 2.0364207096 93 %i,
--R      - 4.3825869753 299956382 + 2.0364207090 215572509 %i,
--R      - 0.101995638 E -9 - 0.6714427491 E -9 %i]
--R     ,
--R
--R     [1.0 + 3.9 %i, - 4.5266788647 16 + 2.1717914436 05 %i,
--R      - 4.5266788648 352793739 + 2.1717914431 026276223 %i,
--R      - 0.119279374 E -9 - 0.5023723777 E -9 %i]
--R     ,
--R
--R     [1.0 + 4.0 %i, - 4.6710995934 09 + 2.3096980565 73 %i,
--R      - 4.6710995935 296268252 + 2.3096980561 967129493 %i,
--R      - 0.120626825 E -9 - 0.3762870507 E -9 %i]
--R     ,
--R
--R     [1.0 + 4.1 %i, - 4.8158329197 96 + 2.4500785299 47 %i,
--R      - 4.8158329199 100070487 + 2.4500785296 656839327 %i,
--R      - 0.114007049 E -9 - 0.2813160673 E -9 %i]
--R     ,
--R
--R     [1.0 + 4.2 %i, - 4.9608637766 87 + 2.5928737713 19 %i,
--R      - 4.9608637767 906961011 + 2.5928737711 078289946 %i,
--R      - 0.103696101 E -9 - 0.211171005 E -9 %i]
--R     ,
--R
--R     [1.0 + 4.3 %i, - 5.1061781606 63 + 2.7380274148 2 %i,
--R      - 5.1061781607 536849241 + 2.7380274146 614806809 %i,
--R      - 0.906849241 E -10 - 0.158519319 E -9 %i]
--R     ,
--R
--R     [1.0 + 4.4 %i, - 5.2517630342 3 + 2.8854856389 27 %i,
--R      - 5.2517630343 090783839 + 2.8854856388 07923102 %i,
--R      - 0.790783839 E -10 - 0.119076898 E -9 %i]
--R     ,
--R
--R     [1.0 + 4.5 %i, - 5.3976062389 84 + 3.0351969999 22 %i,
--R      - 5.3976062390 513914695 + 3.0351969998 31937613 %i,
--R      - 0.673914695 E -10 - 0.90062387 E -10 %i]
--R     ,
--R
--R     [1.0 + 4.6 %i, - 5.5436964183 04 + 3.1871122793 89 %i,
--R      - 5.5436964183 61390699 + 3.1871122793 208820187 %i,
--R      - 0.57390699 E -10 - 0.681179813 E -10 %i]
--R     ,
--R
--R     [1.0 + 4.7 %i, - 5.6900229483 73 + 3.3411843443 27 %i,

--R      - 5.6900229484 214997719 + 3.3411843442 759324334 %i,
--R      - 0.484997719 E -10 - 0.510675666 E -10 %i]
--R     ,
--R
--R     [1.0 + 4.8 %i, - 5.8365758764 54 + 3.4973680186 15 %i,
--R      - 5.8365758764 943805837 + 3.4973680185 763247957 %i,
--R      - 0.403805838 E -10 - 0.386752043 E -10 %i]
--R     ,
--R
--R     [1.0 + 4.9 %i, - 5.9833458655 32 + 3.6556199647 12 %i,
--R      - 5.9833458655 659367284 + 3.6556199646 827616217 %i,
--R      - 0.339367284 E -10 - 0.292383783 E -10 %i]
--R     ,
--R
--R     [1.0 + 5.0 %i, - 6.1303241445 53 + 3.8158985746 15 %i,
--R      - 6.1303241445 811123102 + 3.8158985745 927031289 %i,
--R      - 0.2811231 E -10 - 0.222968711 E -10 %i]
--R     ,
--R
--R     [1.0 + 5.1 %i, - 6.2775024635 84 + 3.9781638691 88 %i,
--R      - 6.2775024636 078422767 + 3.9781638691 706816787 %i,
--R      - 0.23842277 E -10 - 0.173183213 E -10 %i]
--R     ,
--R
--R     [1.0 + 5.2 %i, - 6.4248730533 35 + 4.1423774050 86 %i,
--R      - 6.4248730533 548717638 + 4.1423774050 733123933 %i,
--R      - 0.19871764 E -10 - 0.12687607 E -10 %i]
--R     ,
--R
--R     [1.0 + 5.3 %i, - 6.5724285885 29 + 4.3085021885 83 %i,
--R      - 6.5724285885 457509092 + 4.3085021885 732350035 %i,
--R      - 0.16750909 E -10 - 0.97649965 E -11 %i]
--R     ,
--R
--R     [1.0 + 5.4 %i, - 6.7201621547 03 + 4.4765025956 68 %i,
--R      - 6.7201621547 164454344 + 4.4765025956 6044423 %i,
--R      - 0.13445434 E -10 - 0.75557699 E -11 %i]
--R     ,
--R
--R     [1.0 + 5.5 %i, - 6.8680672180 48 + 4.6463442978 7 %i,
--R      - 6.8680672180 595740196 + 4.6463442978 647410058 %i,
--R      - 0.1157402 E -10 - 0.52589942 E -11 %i]
--R     ,
--R
--R     [1.0 + 5.6 %i, - 7.0161375979 76 + 4.8179941933 05 %i,
--R      - 7.0161375979 858421857 + 4.8179941933 005550433 %i,
--R      - 0.98421857 E -11 - 0.44449567 E -11 %i]
--R     ,
--R
--R     [1.0 + 5.7 %i, - 7.1643674421 06 + 4.9914203424 89 %i,

--R      - 7.1643674421 140655762 + 4.9914203424 861697905 %i,
--R      - 0.80655762 E -11 - 0.2830209 E -11 %i]
--R     ,
--R
--R     [1.0 + 5.8 %i, - 7.3127512034 3 + 5.1665919085 37 %i,
--R      - 7.3127512034 36317679 + 5.1665919085 342976767 %i,
--R      - 0.6317679 E -11 - 0.2702323 E -11 %i]
--R     ,
--R
--R     [1.0 + 5.9 %i, - 7.4612836194 29 + 5.3434791013 53 %i,
--R      - 7.4612836194 350723482 + 5.3434791013 5075755 %i,
--R      - 0.60723482 E -11 - 0.224245 E -11 %i]
--R     ,
--R
--R     [1.0 + 6.0 %i, - 7.6099596929 51 + 5.5220531255 15 %i,
--R      - 7.6099596929 554672207 + 5.5220531255 133435246 %i,
--R      - 0.44672207 E -11 - 0.1656475 E -11 %i]
--R     ,
--R
--R     [1.0 + 6.1 %i, - 7.7587746746 55 + 5.7022861315 35 %i,
--R      - 7.7587746746 585972836 + 5.7022861315 344022325 %i,
--R      - 0.3597284 E -11 - 0.5977675 E -12 %i]
--R     ,
--R
--R     [1.0 + 6.2 %i, - 7.9077240468 98 + 5.8841511702 39 %i,
--R      - 7.9077240469 015667429 + 5.8841511702 386349799 %i,
--R      - 0.3566743 E -11 - 0.36502 E -12 %i]
--R     ,
--R
--R     [1.0 + 6.3 %i, - 8.0568035089 04 + 6.0676221500 13 %i,
--R      - 8.0568035089 073088969 + 6.0676221500 126290404 %i,
--R      - 0.3308897 E -11 - 0.37096 E -12 %i]
--R     ,
--R
--R     [1.0 + 6.4 %i, - 8.2060089631 + 6.2526737967 05 %i,
--R      - 8.2060089631 022876515 + 6.2526737967 049593955 %i,
--R      - 0.2287651 E -11 - 0.406045 E -13 %i]
--R     ,
--R
--R     [1.0 + 6.5 %i, - 8.3553365025 11 + 6.4392816159 76 %i,
--R      - 8.3553365025 134245282 + 6.4392816159 757023231 %i,
--R      - 0.2424528 E -11 - 0.297677 E -12 %i]
--R     ,
--R
--R     [1.0 + 6.6 %i, - 8.5047823991 25 + 6.6274218579 12 %i,
--R      - 8.5047823991 272090321 + 6.6274218579 121383093 %i,
--R      - 0.2209032 E -11 + 0.138309 E -12 %i]
--R     ,
--R
--R     [1.0 + 6.7 %i, - 8.6543430931 23 + 6.8170714837 44 %i,

--R      - 8.6543430931 241668318 + 6.8170714837 435317714 %i,
--R      - 0.1166832 E -11 - 0.4682286 E -12 %i]
--R     ,
--R
--R     [1.0 + 6.8 %i, - 8.8040151829 1 + 7.0082081345 02 %i,
--R      - 8.8040151829 108657274 + 7.0082081345 023668668 %i,
--R      - 0.865727 E -12 + 0.366867 E -12 %i]
--R     ,
--R
--R     [1.0 + 6.9 %i, - 8.9537954158 79 + 7.2008101014 93 %i,
--R      - 8.9537954158 795929843 + 7.2008101014 924740199 %i,
--R      - 0.592984 E -12 - 0.5259801 E -12 %i]
--R     ,
--R
--R     [1.0 + 7.0 %i, - 9.1036806798 32 + 7.3948562984 36 %i,
--R      - 9.1036806798 328755451 + 7.3948562984 362601022 %i,
--R      - 0.875545 E -12 + 0.260102 E -12 %i]
--R     ,
--R
--R     [1.0 + 7.1 %i, - 9.2536679950 15 + 7.5903262351 84 %i,
--R      - 9.2536679950 162537946 + 7.5903262351 838962951 %i,
--R      - 0.1253795 E -11 - 0.103705 E -12 %i]
--R     ,
--R
--R     [1.0 + 7.2 %i, - 9.4037545067 08 + 7.7871999928 77 %i,
--R      - 9.4037545067 082605399 + 7.7871999928 769445859 %i,
--R      - 0.26054 E -12 - 0.554141 E -13 %i]
--R     ,
--R
--R     [1.0 + 7.3 %i, - 9.5539374783 21 + 7.9854582004 68 %i,
--R      - 9.5539374783 214863185 + 7.9854582004 676249208 %i,
--R      - 0.486319 E -12 - 0.375079 E -12 %i]
--R     ,
--R
--R     [1.0 + 7.4 %i, - 9.7042142849 72 + 8.1850820125 03 %i,
--R      - 9.7042142849 730050014 + 8.1850820125 028358342 %i,
--R      - 0.1005001 E -11 - 0.164166 E -12 %i]
--R     ,
--R
--R     [1.0 + 7.5 %i, - 9.8545824074 86 + 8.3860530880 89 %i,
--R      - 9.8545824074 863547157 + 8.3860530880 892263646 %i,
--R      - 0.354716 E -12 + 0.226365 E -12 %i]
--R     ,
--R
--R     [1.0 + 7.6 %i, - 10.0050394267 9 + 8.5883535709 62 %i,
--R      - 10.0050394267 9077464 + 8.5883535709 621509583 %i,
--R      - 0.77464 E -12 + 0.150958 E -12 %i]
--R     ,
--R
--R     [1.0 + 7.7 %i, - 10.1555830186 86 + 8.7919660705 87 %i,

--R      - 10.1555830186 86537113 + 8.7919660705 872881232 %i,
--R      - 0.537113 E -12 + 0.288123 E -12 %i]
--R     ,
--R
--R     [1.0 + 7.8 %i, - 10.3062109489 48 + 8.9968736442 29 %i,
--R      - 10.3062109489 48029324 + 8.9968736442 291265808 %i,
--R      - 0.29324 E -13 + 0.126581 E -12 %i]
--R     ,
--R
--R     [1.0 + 7.9 %i, - 10.4569210687 39 + 9.2030597799 25 %i,
--R      - 10.4569210687 38766792 + 9.2030597799 254718746 %i,
--R      0.233208 E -12 + 0.471875 E -12 %i]
--R     ,
--R
--R     [1.0 + 8.0 %i, - 10.6077113103 15 + 9.4105083803 12 %i,
--R      - 10.6077113103 1479434 + 9.4105083803 116483136 %i,
--R      0.20566 E -12 - 0.351686 E -12 %i]
--R     ,
--R
--R     [1.0 + 8.1 %i, - 10.7585796829 95 + 9.6192037472 42 %i,
--R      - 10.7585796829 94977847 + 9.6192037472 422072521 %i,
--R      0.22153 E -13 + 0.207252 E -12 %i]
--R     ,
--R
--R     [1.0 + 8.2 %i, - 10.9095242693 78 + 9.8291305671 62 %i,
--R      - 10.9095242693 78536574 + 9.8291305671 617400305 %i,
--R      - 0.536574 E -12 - 0.25997 E -12 %i]
--R     ,
--R
--R     [1.0 + 8.3 %i, - 11.0605432217 92 + 10.0402738971 8 %i,
--R      - 11.0605432217 91833327 + 10.0402738971 79865529 %i,
--R      0.166673 E -12 - 0.134471 E -12 %i]
--R     ,
--R
--R     [1.0 + 8.4 %i, - 11.2116347589 48 + 10.2526191518 09 %i,
--R      - 11.2116347589 47947425 + 10.2526191518 08647801 %i,
--R      0.52575 E -13 - 0.352199 E -12 %i]
--R     ,
--R
--R     [1.0 + 8.5 %i, - 11.3627971628 04 + 10.4661520903 24 %i,
--R      - 11.3627971628 03920333 + 10.4661520903 23625234 %i,
--R      0.796669 E -13 - 0.374766 E -12 %i]
--R     ,
--R
--R     [1.0 + 8.6 %i, - 11.5140287756 02 + 10.6808588047 12 %i,
--R      - 11.5140287756 01801068 + 10.6808588047 12322866 %i,
--R      0.198932 E -12 + 0.322866 E -12 %i]
--R     ,
--R
--R     [1.0 + 8.7 %i, - 11.6653279970 81 + 10.8967257081 77 %i,

--R      - 11.6653279970 80741204 + 10.8967257081 76595379 %i,
--R      0.258796 E -12 - 0.404621 E -12 %i]
--R     ,
--R
--R     [1.0 + 8.8 %i, - 11.8166932818 48 + 11.1137395241 57 %i,
--R      - 11.8166932818 48409467 + 11.1137395241 57428959 %i,
--R      - 0.409467 E -12 + 0.428959 E -12 %i]
--R     ,
--R
--R     [1.0 + 8.9 %i, - 11.9681231369 01 + 11.3318872758 53 %i,
--R      - 11.9681231369 00923725 + 11.3318872758 52933183 %i,
--R      0.762754 E -13 - 0.668174 E -13 %i]
--R     ,
--R
--R     [1.0 + 9.0 %i, - 12.1196161192 81 + 11.5511562762 02 %i,
--R      - 12.1196161192 81343173 + 11.5511562762 02194801 %i,
--R      - 0.343173 E -12 + 0.194801 E -12 %i]
--R     ,
--R
--R     [1.0 + 9.1 %i, - 12.2711708338 67 + 11.7715341183 09 %i,
--R      - 12.2711708338 67533716 + 11.7715341183 09457939 %i,
--R      - 0.533716 E -12 + 0.457939 E -12 %i]
--R     ,
--R
--R     [1.0 + 9.2 %i, - 12.4227859312 81 + 11.9930086662 85 %i,
--R      - 12.4227859312 80922451 + 11.9930086662 84752568 %i,
--R      0.775495 E -13 - 0.247432 E -12 %i]
--R     ,
--R
--R     [1.0 + 9.3 %i, - 12.5744601059 08 + 12.2155680464 79 %i,
--R      - 12.5744601059 08299231 + 12.2155680464 7862654 %i,
--R      - 0.299231 E -12 - 0.37346 E -12 %i]
--R     ,
--R
--R     [1.0 + 9.4 %i, - 12.7261920940 29 + 12.4392006390 9 %i,
--R      - 12.7261920940 29410474 + 12.4392006390 90056598 %i,
--R      - 0.410474 E -12 + 0.56598 E -13 %i]
--R     ,
--R
--R     [1.0 + 9.5 %i, - 12.8779806720 44 + 12.6638950701 28 %i,
--R      - 12.8779806720 43627774 + 12.6638950701 27929907 %i,
--R      0.372226 E -12 - 0.70093 E -13 %i]
--R     ,
--R
--R     [1.0 + 9.6 %i, - 13.0298246547 89 + 12.8896402037 08 %i,
--R      - 13.0298246547 89466317 + 12.8896402037 07708444 %i,
--R      - 0.466316 E -12 - 0.291556 E -12 %i]
--R     ,
--R
--R     [1.0 + 9.7 %i, - 13.1817228939 51 + 13.1164251346 66 %i,

--R      - 13.1817228939 51179682 + 13.1164251346 66021834 %i,
--R      - 0.179682 E -12 + 0.21834 E -13 %i]
--R     ,
--R
--R     [1.0 + 9.8 %i, - 13.3336742765 47 + 13.3442391814 77 %i,
--R      - 13.3336742765 47072151 + 13.3442391814 7698698 %i,
--R      - 0.721508 E -13 - 0.1302 E -13 %i]
--R     ,
--R
--R     [1.0 + 9.9 %i, - 13.4856777234 95 + 13.5730718794 55 %i,
--R      - 13.4856777234 94550479 + 13.5730718794 5503157 %i,
--R      0.449521 E -12 + 0.3157 E -13 %i]
--R     ,
--R
--R     [1.0 + 10.0 %i, - 13.6377321882 47 + 13.8029129742 3 %i,
--R      - 13.6377321882 47287365 + 13.8029129742 29909153 %i,
--R      - 0.287365 E -12 - 0.908474 E -13 %i]
--R     ]
--R                                             Type: List(List(Complex(Float)))
--E 10

———-

Another definition of the logGamma function that is continuous across the cut [1+4.5i,1+4.6i] is:

— * —

--S 11 of 12
lng2(xx:COMPLEX(DFLOAT)):COMPLEX(DFLOAT)==
  y:COMPLEX(DFLOAT):=xx;
  x:COMPLEX(DFLOAT):=xx;
  t1:COMPLEX(DFLOAT):=x+5.5-(x+0.5)*log(x+5.5)
  ser:COMPLEX(DFLOAT):=1.000000000190015
  y:=y+1;
  ser:=ser+(76.18009172947146/y)
  y:=y+1;
  ser:=ser+(-86.50532032941677/y)
  y:=y+1;
  ser:=ser+(24.01409824083091/y)
  y:=y+1;
  ser:=ser+(-1.231739572450155/y)
  y:=y+1;
  ser:=ser+(0.1208650973866179E-2/y)
  y:=y+1;
  ser:=ser+(-0.5395239384953E-5/y)
  result:COMPLEX(DFLOAT):=log(2.5066282746310005*ser/x)-t1
  result
--R
--R   Function declaration lng2 : Complex(DoubleFloat) -> Complex(
--R      DoubleFloat) has been added to workspace.
--R                                                                   Type: Void

--E 11

———-

and we can compare this with the log(Gamma) and logGamma functions in Axiom: — * —

--S 12 of 12
[[1. + 0.0 * %i,0.,lng2(1. + 0.0 * %i),lng2(1. + 0.0 * %i)-0.0],_
[1. + 0.1 * %i, -0.008197780565 - 0.057322940417 * %i,_
lng2(1. + 0.1 * %i),log(Gamma(1. + 0.1 * %i)),_
lng2(1. + 0.1 * %i)-log(Gamma(1. + 0.1 * %i)),_
lng2(1. + 0.1 * %i),logGamma(1. + 0.1 * %i),_
lng2(1. + 0.1 * %i)-logGamma(1. + 0.1 * %i),_
lng2(1. + 0.1 * %i)-( -0.008197780565 - 0.057322940417 * %i)],_
[1. + 0.2 * %i, -0.032476292318 - 0.112302222644 * %i,_
lng2(1. + 0.2 * %i),log(Gamma(1. + 0.2 * %i)),_
lng2(1. + 0.2 * %i)-log(Gamma(1. + 0.2 * %i)),_
lng2(1. + 0.2 * %i),logGamma(1. + 0.2 * %i),_
lng2(1. + 0.2 * %i)-logGamma(1. + 0.2 * %i),_
lng2(1. + 0.2 * %i)-( -0.032476292318 - 0.112302222644 * %i)],_
[1. + 0.3 * %i, -0.071946250900 - 0.162820672168 * %i,_
lng2(1. + 0.3 * %i),log(Gamma(1. + 0.3 * %i)),_
lng2(1. + 0.3 * %i)-log(Gamma(1. + 0.3 * %i)),_
lng2(1. + 0.3 * %i),logGamma(1. + 0.3 * %i),_
lng2(1. + 0.3 * %i)-logGamma(1. + 0.3 * %i),_
lng2(1. + 0.3 * %i)-( -0.071946250900 - 0.162820672168 * %i)],_
[1. + 0.4 * %i, -0.125289374821 - 0.207155826316 * %i,_
lng2(1. + 0.4 * %i),log(Gamma(1. + 0.4 * %i)),_
lng2(1. + 0.4 * %i)-log(Gamma(1. + 0.4 * %i)),_
lng2(1. + 0.4 * %i),logGamma(1. + 0.4 * %i),_
lng2(1. + 0.4 * %i)-logGamma(1. + 0.4 * %i),_
lng2(1. + 0.4 * %i)-( -0.125289374821 - 0.207155826316 * %i)],_
[1. + 0.5 * %i,- 0.190945499187 - 0.244058298905 * %i,_
lng2(1. + 0.5 * %i),log(Gamma(1. + 0.5 * %i)),_
lng2(1. + 0.5 * %i)-log(Gamma(1. + 0.5 * %i)),_
lng2(1. + 0.5 * %i),logGamma(1. + 0.5 * %i),_
lng2(1. + 0.5 * %i)-logGamma(1. + 0.5 * %i),_
lng2(1. + 0.5 * %i)-(- 0.190945499187 - 0.244058298905 * %i)],_
[1. + 0.6 * %i,- 0.267290068214 - 0.272743810491 * %i,_
lng2(1. + 0.6 * %i),log(Gamma(1. + 0.6 * %i)),_
lng2(1. + 0.6 * %i)-log(Gamma(1. + 0.6 * %i)),_
lng2(1. + 0.6 * %i),logGamma(1. + 0.6 * %i),_
lng2(1. + 0.6 * %i)-logGamma(1. + 0.6 * %i),_
lng2(1. + 0.6 * %i)-(- 0.267290068214 - 0.272743810491 * %i)],_
[1. + 0.7 * %i,- 0.352768690860 - 0.292826351187 * %i,_
lng2(1. + 0.7 * %i),log(Gamma(1. + 0.7 * %i)),_
lng2(1. + 0.7 * %i)-log(Gamma(1. + 0.7 * %i)),_
lng2(1. + 0.7 * %i),logGamma(1. + 0.7 * %i),_
lng2(1. + 0.7 * %i)-logGamma(1. + 0.7 * %i),_

lng2(1. + 0.7 * %i)-(- 0.352768690860 - 0.292826351187 * %i)],_
[1. + 0.8 * %i,- 0.445978783549 - 0.304225602976 * %i,_
lng2(1. + 0.8 * %i),log(Gamma(1. + 0.8 * %i)),_
lng2(1. + 0.8 * %i)-log(Gamma(1. + 0.8 * %i)),_
lng2(1. + 0.8 * %i),logGamma(1. + 0.8 * %i),_
lng2(1. + 0.8 * %i)-logGamma(1. + 0.8 * %i),_
lng2(1. + 0.8 * %i)-(- 0.445978783549 - 0.304225602976 * %i)],_
[1. + 0.9 * %i,- 0.545705128605 - 0.307074375642 * %i,_
lng2(1. + 0.9 * %i),log(Gamma(1. + 0.9 * %i)),_
lng2(1. + 0.9 * %i)-log(Gamma(1. + 0.9 * %i)),_
lng2(1. + 0.9 * %i),logGamma(1. + 0.9 * %i),_
lng2(1. + 0.9 * %i)-logGamma(1. + 0.9 * %i),_
lng2(1. + 0.9 * %i)-(- 0.545705128605 - 0.307074375642 * %i)],_
[1. + 1.0 * %i,- 0.650923199302 - 0.301640320468 * %i,_
lng2(1. + 1.0 * %i),log(Gamma(1. + 1.0 * %i)),_
lng2(1. + 1.0 * %i)-log(Gamma(1. + 1.0 * %i)),_
lng2(1. + 1.0 * %i),logGamma(1. + 1.0 * %i),_
lng2(1. + 1.0 * %i)-logGamma(1. + 1.0 * %i),_
lng2(1. + 1.0 * %i)-(- 0.650923199302 - 0.301640320468 * %i)],_
[1. + 1.1 * %i,- 0.760783958841 - 0.288266614239 * %i,_
lng2(1. + 1.1 * %i),log(Gamma(1. + 1.1 * %i)),_
lng2(1. + 1.1 * %i)-log(Gamma(1. + 1.1 * %i)),_
lng2(1. + 1.1 * %i),logGamma(1. + 1.1 * %i),_
lng2(1. + 1.1 * %i)-logGamma(1. + 1.1 * %i),_
lng2(1. + 1.1 * %i)-(- 0.760783958841 - 0.288266614239 * %i)],_
[1. + 1.2 * %i,- 0.874590463895 - 0.267330580581 * %i,_
lng2(1. + 1.2 * %i),log(Gamma(1. + 1.2 * %i)),_
lng2(1. + 1.2 * %i)-log(Gamma(1. + 1.2 * %i)),_
lng2(1. + 1.2 * %i),logGamma(1. + 1.2 * %i),_
lng2(1. + 1.2 * %i)-logGamma(1. + 1.2 * %i),_
lng2(1. + 1.2 * %i)-(- 0.874590463895 - 0.267330580581 * %i)],_
[1. + 1.3 * %i,- 0.991772766959 - 0.239216784465 * %i,_
lng2(1. + 1.3 * %i),log(Gamma(1. + 1.3 * %i)),_
lng2(1. + 1.3 * %i)-log(Gamma(1. + 1.3 * %i)),_
lng2(1. + 1.3 * %i),logGamma(1. + 1.3 * %i),_
lng2(1. + 1.3 * %i)-logGamma(1. + 1.3 * %i),_
lng2(1. + 1.3 * %i)-(- 0.991772766959 - 0.239216784465 * %i)],_
[1. + 1.4 * %i,- 1.111864566426 - 0.204300724149 * %i,_
lng2(1. + 1.4 * %i),log(Gamma(1. + 1.4 * %i)),_
lng2(1. + 1.4 * %i)-log(Gamma(1. + 1.4 * %i)),_
lng2(1. + 1.4 * %i),logGamma(1. + 1.4 * %i),_
lng2(1. + 1.4 * %i)-logGamma(1. + 1.4 * %i),_
lng2(1. + 1.4 * %i)-(- 1.111864566426 - 0.204300724149 * %i)],_
[1. + 1.5 * %i,- 1.234483051547 - 0.162939769480 * %i,_
lng2(1. + 1.5 * %i),log(Gamma(1. + 1.5 * %i)),_
lng2(1. + 1.5 * %i)-log(Gamma(1. + 1.5 * %i)),_
lng2(1. + 1.5 * %i),logGamma(1. + 1.5 * %i),_
lng2(1. + 1.5 * %i)-logGamma(1. + 1.5 * %i),_
lng2(1. + 1.5 * %i)-(- 1.234483051547 - 0.162939769480 * %i)],_
[1. + 1.6 * %i,- 1.359312248465 - 0.115468793589 * %i,_

lng2(1. + 1.6 * %i),log(Gamma(1. + 1.6 * %i)),_
lng2(1. + 1.6 * %i)-log(Gamma(1. + 1.6 * %i)),_
lng2(1. + 1.6 * %i),logGamma(1. + 1.6 * %i),_
lng2(1. + 1.6 * %i)-logGamma(1. + 1.6 * %i),_
lng2(1. + 1.6 * %i)-(- 1.359312248465 - 0.115468793589 * %i)],_
[1. + 1.7 * %i,- 1.486089612757 - 0.062198698329 * %i,_
lng2(1. + 1.7 * %i),log(Gamma(1. + 1.7 * %i)),_
lng2(1. + 1.7 * %i)-log(Gamma(1. + 1.7 * %i)),_
lng2(1. + 1.7 * %i),logGamma(1. + 1.7 * %i),_
lng2(1. + 1.7 * %i)-logGamma(1. + 1.7 * %i),_
lng2(1. + 1.7 * %i)-(- 1.486089612757 - 0.062198698329 * %i)],_
[1. + 1.8 * %i,- 1.614595396000 - 0.003416631477 * %i,_
lng2(1. + 1.8 * %i),log(Gamma(1. + 1.8 * %i)),_
lng2(1. + 1.8 * %i)-log(Gamma(1. + 1.8 * %i)),_
lng2(1. + 1.8 * %i),logGamma(1. + 1.8 * %i),_
lng2(1. + 1.8 * %i)-logGamma(1. + 1.8 * %i),_
lng2(1. + 1.8 * %i)-(- 1.614595396000 - 0.003416631477 * %i)],_
[1. + 1.9 * %i,- 1.744644276174 + 0.060612874295 * %i,_
lng2(1. + 1.9 * %i),log(Gamma(1. + 1.9 * %i)),_
lng2(1. + 1.9 * %i)-log(Gamma(1. + 1.9 * %i)),_
lng2(1. + 1.9 * %i),logGamma(1. + 1.9 * %i),_
lng2(1. + 1.9 * %i)-logGamma(1. + 1.9 * %i),_
lng2(1. + 1.9 * %i)-(- 1.744644276174 + 0.060612874295 * %i)],_
[1. + 2.0 * %i,- 1.876078786431 + 0.129646316310 * %i,_
lng2(1. + 2.0 * %i),log(Gamma(1. + 2.0 * %i)),_
lng2(1. + 2.0 * %i)-log(Gamma(1. + 2.0 * %i)),_
lng2(1. + 2.0 * %i),logGamma(1. + 2.0 * %i),_
lng2(1. + 2.0 * %i)-logGamma(1. + 2.0 * %i),_
lng2(1. + 2.0 * %i)-(- 1.876078786431 + 0.129646316310 * %i)],_
[1. + 2.1 * %i,- 2.008764150471 + 0.203459473833 * %i,_
lng2(1. + 2.1 * %i),log(Gamma(1. + 2.1 * %i)),_
lng2(1. + 2.1 * %i)-log(Gamma(1. + 2.1 * %i)),_
lng2(1. + 2.1 * %i),logGamma(1. + 2.1 * %i),_
lng2(1. + 2.1 * %i)-logGamma(1. + 2.1 * %i),_
lng2(1. + 2.1 * %i)-(- 2.008764150471 + 0.203459473833 * %i)],_
[1. + 2.2 * %i,- 2.142584209296 + 0.281845658426 * %i,_
lng2(1. + 2.2 * %i),log(Gamma(1. + 2.2 * %i)),_
lng2(1. + 2.2 * %i)-log(Gamma(1. + 2.2 * %i)),_
lng2(1. + 2.2 * %i),logGamma(1. + 2.2 * %i),_
lng2(1. + 2.2 * %i)-logGamma(1. + 2.2 * %i),_
lng2(1. + 2.2 * %i)-(- 2.142584209296 + 0.281845658426 * %i)],_
[1. + 2.3 * %i,- 2.277438192204 + 0.364614048950 * %i,_
lng2(1. + 2.3 * %i),log(Gamma(1. + 2.3 * %i)),_
lng2(1. + 2.3 * %i)-log(Gamma(1. + 2.3 * %i)),_
lng2(1. + 2.3 * %i),logGamma(1. + 2.3 * %i),_
lng2(1. + 2.3 * %i)-logGamma(1. + 2.3 * %i),_
lng2(1. + 2.3 * %i)-(- 2.277438192204 + 0.364614048950 * %i)],_
[1. + 2.4 * %i,- 2.413238141184 + 0.451588152441 * %i,_
lng2(1. + 2.4 * %i),log(Gamma(1. + 2.4 * %i)),_
lng2(1. + 2.4 * %i)-log(Gamma(1. + 2.4 * %i)),_

lng2(1. + 2.4 * %i),logGamma(1. + 2.4 * %i),_
lng2(1. + 2.4 * %i)-logGamma(1. + 2.4 * %i),_
lng2(1. + 2.4 * %i)-(- 2.413238141184 + 0.451588152441 * %i)],_
[1. + 2.5 * %i,- 2.549906842495 + 0.542604405852 * %i,_
lng2(1. + 2.5 * %i),log(Gamma(1. + 2.5 * %i)),_
lng2(1. + 2.5 * %i)-log(Gamma(1. + 2.5 * %i)),_
lng2(1. + 2.5 * %i),logGamma(1. + 2.5 * %i),_
lng2(1. + 2.5 * %i)-logGamma(1. + 2.5 * %i),_
lng2(1. + 2.5 * %i)-(- 2.549906842495 + 0.542604405852 * %i)],_
[1. + 2.6 * %i,- 2.687376153750 + 0.637510919046 * %i,_
lng2(1. + 2.6 * %i),log(Gamma(1. + 2.6 * %i)),_
lng2(1. + 2.6 * %i)-log(Gamma(1. + 2.6 * %i)),_
lng2(1. + 2.6 * %i),logGamma(1. + 2.6 * %i),_
lng2(1. + 2.6 * %i)-logGamma(1. + 2.6 * %i),_
lng2(1. + 2.6 * %i)-(- 2.687376153750 + 0.637510919046 * %i)],_
[1. + 2.7 * %i,- 2.825585641191 + 0.736166351679 * %i,_
lng2(1. + 2.7 * %i),log(Gamma(1. + 2.7 * %i)),_
lng2(1. + 2.7 * %i)-log(Gamma(1. + 2.7 * %i)),_
lng2(1. + 2.7 * %i),logGamma(1. + 2.7 * %i),_
lng2(1. + 2.7 * %i)-logGamma(1. + 2.7 * %i),_
lng2(1. + 2.7 * %i)-(- 2.825585641191 + 0.736166351679 * %i)],_
[1. + 2.8 * %i,- 2.964481461789 + 0.838438913096 * %i,_
lng2(1. + 2.8 * %i),log(Gamma(1. + 2.8 * %i)),_
lng2(1. + 2.8 * %i)-log(Gamma(1. + 2.8 * %i)),_
lng2(1. + 2.8 * %i),logGamma(1. + 2.8 * %i),_
lng2(1. + 2.8 * %i)-logGamma(1. + 2.8 * %i),_
lng2(1. + 2.8 * %i)-(- 2.964481461789 + 0.838438913096 * %i)],_
[1. + 2.9 * %i,- 3.104015439901 + 0.944205473039 * %i,_
lng2(1. + 2.9 * %i),log(Gamma(1. + 2.9 * %i)),_
lng2(1. + 2.9 * %i)-log(Gamma(1. + 2.9 * %i)),_
lng2(1. + 2.9 * %i),logGamma(1. + 2.9 * %i),_
lng2(1. + 2.9 * %i)-logGamma(1. + 2.9 * %i),_
lng2(1. + 2.9 * %i)-(- 3.104015439901 + 0.944205473039 * %i)],_
[1. + 3.0 * %i,- 3.244144299590 + 1.053350771069 * %i,_
lng2(1. + 3.0 * %i),log(Gamma(1. + 3.0 * %i)),_
lng2(1. + 3.0 * %i)-log(Gamma(1. + 3.0 * %i)),_
lng2(1. + 3.0 * %i),logGamma(1. + 3.0 * %i),_
lng2(1. + 3.0 * %i)-logGamma(1. + 3.0 * %i),_
lng2(1. + 3.0 * %i)-(- 3.244144299590 + 1.053350771069 * %i)],_
[1. + 3.1 * %i,- 3.384829022377 + 1.165766713286 * %i,_
lng2(1. + 3.1 * %i),log(Gamma(1. + 3.1 * %i)),_
lng2(1. + 3.1 * %i)-log(Gamma(1. + 3.1 * %i)),_
lng2(1. + 3.1 * %i),logGamma(1. + 3.1 * %i),_
lng2(1. + 3.1 * %i)-logGamma(1. + 3.1 * %i),_
lng2(1. + 3.1 * %i)-(- 3.384829022377 + 1.165766713286 * %i)],_
[1. + 3.2 * %i,- 3.526034306709 + 1.281351745932 * %i,_
lng2(1. + 3.2 * %i),log(Gamma(1. + 3.2 * %i)),_
lng2(1. + 3.2 * %i)-log(Gamma(1. + 3.2 * %i)),_
lng2(1. + 3.2 * %i),logGamma(1. + 3.2 * %i),_
lng2(1. + 3.2 * %i)-logGamma(1. + 3.2 * %i),_

lng2(1. + 3.2 * %i)-(- 3.526034306709 + 1.281351745932 * %i)],_
[1. + 3.3 * %i,- 3.667728110488 + 1.400010296576 * %i,_
lng2(1. + 3.3 * %i),log(Gamma(1. + 3.3 * %i)),_
lng2(1. + 3.3 * %i)-log(Gamma(1. + 3.3 * %i)),_
lng2(1. + 3.3 * %i),logGamma(1. + 3.3 * %i),_
lng2(1. + 3.3 * %i)-logGamma(1. + 3.3 * %i),_
lng2(1. + 3.3 * %i)-(- 3.667728110488 + 1.400010296576 * %i)],_
[1. + 3.4 * %i,- 3.809881261823 + 1.521652274673 * %i,_
lng2(1. + 3.4 * %i),log(Gamma(1. + 3.4 * %i)),_
lng2(1. + 3.4 * %i)-log(Gamma(1. + 3.4 * %i)),_
lng2(1. + 3.4 * %i),logGamma(1. + 3.4 * %i),_
lng2(1. + 3.4 * %i)-logGamma(1. + 3.4 * %i),_
lng2(1. + 3.4 * %i)-(- 3.809881261823 + 1.521652274673 * %i)],_
[1. + 3.5 * %i,- 3.952467126189 + 1.646192624269 * %i,_
lng2(1. + 3.5 * %i),log(Gamma(1. + 3.5 * %i)),_
lng2(1. + 3.5 * %i)-log(Gamma(1. + 3.5 * %i)),_
lng2(1. + 3.5 * %i),logGamma(1. + 3.5 * %i),_
lng2(1. + 3.5 * %i)-logGamma(1. + 3.5 * %i),_
lng2(1. + 3.5 * %i)-(- 3.952467126189 + 1.646192624269 * %i)],_
[1. + 3.6 * %i,- 4.095461320451 + 1.773550922591 * %i,_
lng2(1. + 3.6 * %i),log(Gamma(1. + 3.6 * %i)),_
lng2(1. + 3.6 * %i)-log(Gamma(1. + 3.6 * %i)),_
lng2(1. + 3.6 * %i),logGamma(1. + 3.6 * %i),_
lng2(1. + 3.6 * %i)-logGamma(1. + 3.6 * %i),_
lng2(1. + 3.6 * %i)-(- 4.095461320451 + 1.773550922591 * %i)],_
[1. + 3.7 * %i,- 4.238841466071 + 1.903651019019 * %i,_
lng2(1. + 3.7 * %i),log(Gamma(1. + 3.7 * %i)),_
lng2(1. + 3.7 * %i)-log(Gamma(1. + 3.7 * %i)),_
lng2(1. + 3.7 * %i),logGamma(1. + 3.7 * %i),_
lng2(1. + 3.7 * %i)-logGamma(1. + 3.7 * %i),_
lng2(1. + 3.7 * %i)-(- 4.238841466071 + 1.903651019019 * %i)],_
[1. + 3.8 * %i,- 4.382586975228 + 2.036420709693 * %i,_
lng2(1. + 3.8 * %i),log(Gamma(1. + 3.8 * %i)),_
lng2(1. + 3.8 * %i)-log(Gamma(1. + 3.8 * %i)),_
lng2(1. + 3.8 * %i),logGamma(1. + 3.8 * %i),_
lng2(1. + 3.8 * %i)-logGamma(1. + 3.8 * %i),_
lng2(1. + 3.8 * %i)-(- 4.382586975228 + 2.036420709693 * %i)],_
[1. + 3.9 * %i,- 4.526678864716 + 2.171791443605 * %i,_
lng2(1. + 3.9 * %i),log(Gamma(1. + 3.9 * %i)),_
lng2(1. + 3.9 * %i)-log(Gamma(1. + 3.9 * %i)),_
lng2(1. + 3.9 * %i),logGamma(1. + 3.9 * %i),_
lng2(1. + 3.9 * %i)-logGamma(1. + 3.9 * %i),_
lng2(1. + 3.9 * %i)-(- 4.526678864716 + 2.171791443605 * %i)],_
[1. + 4.0 * %i,- 4.671099593409 + 2.309698056573 * %i,_
lng2(1. + 4.0 * %i),log(Gamma(1. + 4.0 * %i)),_
lng2(1. + 4.0 * %i)-log(Gamma(1. + 4.0 * %i)),_
lng2(1. + 4.0 * %i),logGamma(1. + 4.0 * %i),_
lng2(1. + 4.0 * %i)-logGamma(1. + 4.0 * %i),_
lng2(1. + 4.0 * %i)-(- 4.671099593409 + 2.309698056573 * %i)],_
[1. + 4.1 * %i,- 4.815832919796 + 2.450078529947 * %i,_

lng2(1. + 4.1 * %i),log(Gamma(1. + 4.1 * %i)),_
lng2(1. + 4.1 * %i)-log(Gamma(1. + 4.1 * %i)),_
lng2(1. + 4.1 * %i),logGamma(1. + 4.1 * %i),_
lng2(1. + 4.1 * %i)-logGamma(1. + 4.1 * %i),_
lng2(1. + 4.1 * %i)-(- 4.815832919796 + 2.450078529947 * %i)],_
[1. + 4.2 * %i,- 4.960863776687 + 2.592873771319 * %i,_
lng2(1. + 4.2 * %i),log(Gamma(1. + 4.2 * %i)),_
lng2(1. + 4.2 * %i)-log(Gamma(1. + 4.2 * %i)),_
lng2(1. + 4.2 * %i),logGamma(1. + 4.2 * %i),_
lng2(1. + 4.2 * %i)-logGamma(1. + 4.2 * %i),_
lng2(1. + 4.2 * %i)-(- 4.960863776687 + 2.592873771319 * %i)],_
[1. + 4.3 * %i,- 5.106178160663 + 2.738027414820 * %i,_
lng2(1. + 4.3 * %i),log(Gamma(1. + 4.3 * %i)),_
lng2(1. + 4.3 * %i)-log(Gamma(1. + 4.3 * %i)),_
lng2(1. + 4.3 * %i),logGamma(1. + 4.3 * %i),_
lng2(1. + 4.3 * %i)-logGamma(1. + 4.3 * %i),_
lng2(1. + 4.3 * %i)-(- 5.106178160663 + 2.738027414820 * %i)],_
[1. + 4.4 * %i,- 5.251763034230 + 2.885485638927 * %i,_
lng2(1. + 4.4 * %i),log(Gamma(1. + 4.4 * %i)),_
lng2(1. + 4.4 * %i)-log(Gamma(1. + 4.4 * %i)),_
lng2(1. + 4.4 * %i),logGamma(1. + 4.4 * %i),_
lng2(1. + 4.4 * %i)-logGamma(1. + 4.4 * %i),_
lng2(1. + 4.4 * %i)-(- 5.251763034230 + 2.885485638927 * %i)],_
[1. + 4.5 * %i,- 5.397606238984 + 3.035196999922 * %i,_
lng2(1. + 4.5 * %i),log(Gamma(1. + 4.5 * %i)),_
lng2(1. + 4.5 * %i)-log(Gamma(1. + 4.5 * %i)),_
lng2(1. + 4.5 * %i),logGamma(1. + 4.5 * %i),_
lng2(1. + 4.5 * %i)-logGamma(1. + 4.5 * %i),_
lng2(1. + 4.5 * %i)-(- 5.397606238984 + 3.035196999922 * %i)],_
[1. + 4.6 * %i,- 5.543696418304 + 3.187112279389 * %i,_
lng2(1. + 4.6 * %i),log(Gamma(1. + 4.6 * %i)),_
lng2(1. + 4.6 * %i)-log(Gamma(1. + 4.6 * %i)),_
lng2(1. + 4.6 * %i),logGamma(1. + 4.6 * %i),_
lng2(1. + 4.6 * %i)-logGamma(1. + 4.6 * %i),_
lng2(1. + 4.6 * %i)-(- 5.543696418304 + 3.187112279389 * %i)],_
[1. + 4.7 * %i,- 5.690022948373 + 3.341184344327 * %i,_
lng2(1. + 4.7 * %i),log(Gamma(1. + 4.7 * %i)),_
lng2(1. + 4.7 * %i)-log(Gamma(1. + 4.7 * %i)),_
lng2(1. + 4.7 * %i),logGamma(1. + 4.7 * %i),_
lng2(1. + 4.7 * %i)-logGamma(1. + 4.7 * %i),_
lng2(1. + 4.7 * %i)-(- 5.690022948373 + 3.341184344327 * %i)],_
[1. + 4.8 * %i,- 5.836575876454 + 3.497368018615 * %i,_
lng2(1. + 4.8 * %i),log(Gamma(1. + 4.8 * %i)),_
lng2(1. + 4.8 * %i)-log(Gamma(1. + 4.8 * %i)),_
lng2(1. + 4.8 * %i),logGamma(1. + 4.8 * %i),_
lng2(1. + 4.8 * %i)-logGamma(1. + 4.8 * %i),_
lng2(1. + 4.8 * %i)-(- 5.836575876454 + 3.497368018615 * %i)],_
[1. + 4.9 * %i,- 5.983345865532 + 3.655619964712 * %i,_
lng2(1. + 4.9 * %i),log(Gamma(1. + 4.9 * %i)),_
lng2(1. + 4.9 * %i)-log(Gamma(1. + 4.9 * %i)),_

lng2(1. + 4.9 * %i),logGamma(1. + 4.9 * %i),_
lng2(1. + 4.9 * %i)-logGamma(1. + 4.9 * %i),_
lng2(1. + 4.9 * %i)-(- 5.983345865532 + 3.655619964712 * %i)],_
[1. + 5.0 * %i,- 6.130324144553 + 3.815898574615 * %i,_
lng2(1. + 5.0 * %i),log(Gamma(1. + 5.0 * %i)),_
lng2(1. + 5.0 * %i)-log(Gamma(1. + 5.0 * %i)),_
lng2(1. + 5.0 * %i),logGamma(1. + 5.0 * %i),_
lng2(1. + 5.0 * %i)-logGamma(1. + 5.0 * %i),_
lng2(1. + 5.0 * %i)-(- 6.130324144553 + 3.815898574615 * %i)],_
[1. + 5.1 * %i,- 6.277502463584 + 3.978163869188 * %i,_
lng2(1. + 5.1 * %i),log(Gamma(1. + 5.1 * %i)),_
lng2(1. + 5.1 * %i)-log(Gamma(1. + 5.1 * %i)),_
lng2(1. + 5.1 * %i),logGamma(1. + 5.1 * %i),_
lng2(1. + 5.1 * %i)-logGamma(1. + 5.1 * %i),_
lng2(1. + 5.1 * %i)-(- 6.277502463584 + 3.978163869188 * %i)],_
[1. + 5.2 * %i,- 6.424873053335 + 4.142377405086 * %i,_
lng2(1. + 5.2 * %i),log(Gamma(1. + 5.2 * %i)),_
lng2(1. + 5.2 * %i)-log(Gamma(1. + 5.2 * %i)),_
lng2(1. + 5.2 * %i),logGamma(1. + 5.2 * %i),_
lng2(1. + 5.2 * %i)-logGamma(1. + 5.2 * %i),_
lng2(1. + 5.2 * %i)-(- 6.424873053335 + 4.142377405086 * %i)],_
[1. + 5.3 * %i,- 6.572428588529 + 4.308502188583 * %i,_
lng2(1. + 5.3 * %i),log(Gamma(1. + 5.3 * %i)),_
lng2(1. + 5.3 * %i)-log(Gamma(1. + 5.3 * %i)),_
lng2(1. + 5.3 * %i),logGamma(1. + 5.3 * %i),_
lng2(1. + 5.3 * %i)-logGamma(1. + 5.3 * %i),_
lng2(1. + 5.3 * %i)-(- 6.572428588529 + 4.308502188583 * %i)],_
[1. + 5.4 * %i,- 6.720162154703 + 4.476502595668 * %i,_
lng2(1. + 5.4 * %i),log(Gamma(1. + 5.4 * %i)),_
lng2(1. + 5.4 * %i)-log(Gamma(1. + 5.4 * %i)),_
lng2(1. + 5.4 * %i),logGamma(1. + 5.4 * %i),_
lng2(1. + 5.4 * %i)-logGamma(1. + 5.4 * %i),_
lng2(1. + 5.4 * %i)-(- 6.720162154703 + 4.476502595668 * %i)],_
[1. + 5.5 * %i,- 6.868067218048 + 4.646344297870 * %i,_
lng2(1. + 5.5 * %i),log(Gamma(1. + 5.5 * %i)),_
lng2(1. + 5.5 * %i)-log(Gamma(1. + 5.5 * %i)),_
lng2(1. + 5.5 * %i),logGamma(1. + 5.5 * %i),_
lng2(1. + 5.5 * %i)-logGamma(1. + 5.5 * %i),_
lng2(1. + 5.5 * %i)-(- 6.868067218048 + 4.646344297870 * %i)],_
[1. + 5.6 * %i,- 7.016137597976 + 4.817994193305 * %i,_
lng2(1. + 5.6 * %i),log(Gamma(1. + 5.6 * %i)),_
lng2(1. + 5.6 * %i)-log(Gamma(1. + 5.6 * %i)),_
lng2(1. + 5.6 * %i),logGamma(1. + 5.6 * %i),_
lng2(1. + 5.6 * %i)-logGamma(1. + 5.6 * %i),_
lng2(1. + 5.6 * %i)-(- 7.016137597976 + 4.817994193305 * %i)],_
[1. + 5.7 * %i,- 7.164367442106 + 4.991420342489 * %i,_
lng2(1. + 5.7 * %i),log(Gamma(1. + 5.7 * %i)),_
lng2(1. + 5.7 * %i)-log(Gamma(1. + 5.7 * %i)),_
lng2(1. + 5.7 * %i),logGamma(1. + 5.7 * %i),_
lng2(1. + 5.7 * %i)-logGamma(1. + 5.7 * %i),_

lng2(1. + 5.7 * %i)-(- 7.164367442106 + 4.991420342489 * %i)],_
[1. + 5.8 * %i,- 7.312751203430 + 5.166591908537 * %i,_
lng2(1. + 5.8 * %i),log(Gamma(1. + 5.8 * %i)),_
lng2(1. + 5.8 * %i)-log(Gamma(1. + 5.8 * %i)),_
lng2(1. + 5.8 * %i),logGamma(1. + 5.8 * %i),_
lng2(1. + 5.8 * %i)-logGamma(1. + 5.8 * %i),_
lng2(1. + 5.8 * %i)-(- 7.312751203430 + 5.166591908537 * %i)],_
[1. + 5.9 * %i,- 7.461283619429 + 5.343479101353 * %i,_
lng2(1. + 5.9 * %i),log(Gamma(1. + 5.9 * %i)),_
lng2(1. + 5.9 * %i)-log(Gamma(1. + 5.9 * %i)),_
lng2(1. + 5.9 * %i),logGamma(1. + 5.9 * %i),_
lng2(1. + 5.9 * %i)-logGamma(1. + 5.9 * %i),_
lng2(1. + 5.9 * %i)-(- 7.461283619429 + 5.343479101353 * %i)],_
[1. + 6.0 * %i,- 7.609959692951 + 5.522053125515 * %i,_
lng2(1. + 6.0 * %i),log(Gamma(1. + 6.0 * %i)),_
lng2(1. + 6.0 * %i)-log(Gamma(1. + 6.0 * %i)),_
lng2(1. + 6.0 * %i),logGamma(1. + 6.0 * %i),_
lng2(1. + 6.0 * %i)-logGamma(1. + 6.0 * %i),_
lng2(1. + 6.0 * %i)-(- 7.609959692951 + 5.522053125515 * %i)],_
[1. + 6.1 * %i,- 7.758774674655 + 5.702286131535 * %i,_
lng2(1. + 6.1 * %i),log(Gamma(1. + 6.1 * %i)),_
lng2(1. + 6.1 * %i)-log(Gamma(1. + 6.1 * %i)),_
lng2(1. + 6.1 * %i),logGamma(1. + 6.1 * %i),_
lng2(1. + 6.1 * %i)-logGamma(1. + 6.1 * %i),_
lng2(1. + 6.1 * %i)-(- 7.758774674655 + 5.702286131535 * %i)],_
[1. + 6.2 * %i,- 7.907724046898 + 5.884151170239 * %i,_
lng2(1. + 6.2 * %i),log(Gamma(1. + 6.2 * %i)),_
lng2(1. + 6.2 * %i)-log(Gamma(1. + 6.2 * %i)),_
lng2(1. + 6.2 * %i),logGamma(1. + 6.2 * %i),_
lng2(1. + 6.2 * %i)-logGamma(1. + 6.2 * %i),_
lng2(1. + 6.2 * %i)-(- 7.907724046898 + 5.884151170239 * %i)],_
[1. + 6.3 * %i,- 8.056803508904 + 6.067622150013 * %i,_
lng2(1. + 6.3 * %i),log(Gamma(1. + 6.3 * %i)),_
lng2(1. + 6.3 * %i)-log(Gamma(1. + 6.3 * %i)),_
lng2(1. + 6.3 * %i),logGamma(1. + 6.3 * %i),_
lng2(1. + 6.3 * %i)-logGamma(1. + 6.3 * %i),_
lng2(1. + 6.3 * %i)-(- 8.056803508904 + 6.067622150013 * %i)],_
[1. + 6.4 * %i,- 8.206008963100 + 6.252673796705 * %i,_
lng2(1. + 6.4 * %i),log(Gamma(1. + 6.4 * %i)),_
lng2(1. + 6.4 * %i)-log(Gamma(1. + 6.4 * %i)),_
lng2(1. + 6.4 * %i),logGamma(1. + 6.4 * %i),_
lng2(1. + 6.4 * %i)-logGamma(1. + 6.4 * %i),_
lng2(1. + 6.4 * %i)-(- 8.206008963100 + 6.252673796705 * %i)],_
[1. + 6.5 * %i,- 8.355336502511 + 6.439281615976 * %i,_
lng2(1. + 6.5 * %i),log(Gamma(1. + 6.5 * %i)),_
lng2(1. + 6.5 * %i)-log(Gamma(1. + 6.5 * %i)),_
lng2(1. + 6.5 * %i),logGamma(1. + 6.5 * %i),_
lng2(1. + 6.5 * %i)-logGamma(1. + 6.5 * %i),_
lng2(1. + 6.5 * %i)-(- 8.355336502511 + 6.439281615976 * %i)],_
[1. + 6.6 * %i,- 8.504782399125 + 6.627421857912 * %i,_

lng2(1. + 6.6 * %i),log(Gamma(1. + 6.6 * %i)),_
lng2(1. + 6.6 * %i)-log(Gamma(1. + 6.6 * %i)),_
lng2(1. + 6.6 * %i),logGamma(1. + 6.6 * %i),_
lng2(1. + 6.6 * %i)-logGamma(1. + 6.6 * %i),_
lng2(1. + 6.6 * %i)-(- 8.504782399125 + 6.627421857912 * %i)],_
[1. + 6.7 * %i,- 8.654343093123 + 6.817071483744 * %i,_
lng2(1. + 6.7 * %i),log(Gamma(1. + 6.7 * %i)),_
lng2(1. + 6.7 * %i)-log(Gamma(1. + 6.7 * %i)),_
lng2(1. + 6.7 * %i),logGamma(1. + 6.7 * %i),_
lng2(1. + 6.7 * %i)-logGamma(1. + 6.7 * %i),_
lng2(1. + 6.7 * %i)-(- 8.654343093123 + 6.817071483744 * %i)],_
[1. + 6.8 * %i,- 8.804015182910 + 7.008208134502 * %i,_
lng2(1. + 6.8 * %i),log(Gamma(1. + 6.8 * %i)),_
lng2(1. + 6.8 * %i)-log(Gamma(1. + 6.8 * %i)),_
lng2(1. + 6.8 * %i),logGamma(1. + 6.8 * %i),_
lng2(1. + 6.8 * %i)-logGamma(1. + 6.8 * %i),_
lng2(1. + 6.8 * %i)-(- 8.804015182910 + 7.008208134502 * %i)],_
[1. + 6.9 * %i,- 8.953795415879 + 7.200810101493 * %i,_
lng2(1. + 6.9 * %i),log(Gamma(1. + 6.9 * %i)),_
lng2(1. + 6.9 * %i)-log(Gamma(1. + 6.9 * %i)),_
lng2(1. + 6.9 * %i),logGamma(1. + 6.9 * %i),_
lng2(1. + 6.9 * %i)-logGamma(1. + 6.9 * %i),_
lng2(1. + 6.9 * %i)-(- 8.953795415879 + 7.200810101493 * %i)],_
[1. + 7.0 * %i,- 9.103680679832 + 7.394856298436 * %i,_
lng2(1. + 7.0 * %i),log(Gamma(1. + 7.0 * %i)),_
lng2(1. + 7.0 * %i)-log(Gamma(1. + 7.0 * %i)),_
lng2(1. + 7.0 * %i),logGamma(1. + 7.0 * %i),_
lng2(1. + 7.0 * %i)-logGamma(1. + 7.0 * %i),_
lng2(1. + 7.0 * %i)-(- 9.103680679832 + 7.394856298436 * %i)],_
[1. + 7.1 * %i,- 9.253667995015 + 7.590326235184 * %i,_
lng2(1. + 7.1 * %i),log(Gamma(1. + 7.1 * %i)),_
lng2(1. + 7.1 * %i)-log(Gamma(1. + 7.1 * %i)),_
lng2(1. + 7.1 * %i),logGamma(1. + 7.1 * %i),_
lng2(1. + 7.1 * %i)-logGamma(1. + 7.1 * %i),_
lng2(1. + 7.1 * %i)-(- 9.253667995015 + 7.590326235184 * %i)],_
[1. + 7.2 * %i,- 9.403754506708 + 7.787199992877 * %i,_
lng2(1. + 7.2 * %i),log(Gamma(1. + 7.2 * %i)),_
lng2(1. + 7.2 * %i)-log(Gamma(1. + 7.2 * %i)),_
lng2(1. + 7.2 * %i),logGamma(1. + 7.2 * %i),_
lng2(1. + 7.2 * %i)-logGamma(1. + 7.2 * %i),_
lng2(1. + 7.2 * %i)-(- 9.403754506708 + 7.787199992877 * %i)],_
[1. + 7.3 * %i,- 9.553937478321 + 7.985458200468 * %i,_
lng2(1. + 7.3 * %i),log(Gamma(1. + 7.3 * %i)),_
lng2(1. + 7.3 * %i)-log(Gamma(1. + 7.3 * %i)),_
lng2(1. + 7.3 * %i),logGamma(1. + 7.3 * %i),_
lng2(1. + 7.3 * %i)-logGamma(1. + 7.3 * %i),_
lng2(1. + 7.3 * %i)-(- 9.553937478321 + 7.985458200468 * %i)],_
[1. + 7.4 * %i,- 9.704214284972 + 8.185082012503 * %i,_
lng2(1. + 7.4 * %i),log(Gamma(1. + 7.4 * %i)),_
lng2(1. + 7.4 * %i)-log(Gamma(1. + 7.4 * %i)),_

lng2(1. + 7.4 * %i),logGamma(1. + 7.4 * %i),_
lng2(1. + 7.4 * %i)-logGamma(1. + 7.4 * %i),_
lng2(1. + 7.4 * %i)-(- 9.704214284972 + 8.185082012503 * %i)],_
[1. + 7.5 * %i,- 9.854582407486 + 8.386053088089 * %i,_
lng2(1. + 7.5 * %i),log(Gamma(1. + 7.5 * %i)),_
lng2(1. + 7.5 * %i)-log(Gamma(1. + 7.5 * %i)),_
lng2(1. + 7.5 * %i),logGamma(1. + 7.5 * %i),_
lng2(1. + 7.5 * %i)-logGamma(1. + 7.5 * %i),_
lng2(1. + 7.5 * %i)-(- 9.854582407486 + 8.386053088089 * %i)],_
[1. + 7.6 * %i,- 10.005039426790 + 8.588353570962 * %i,_
lng2(1. + 7.6 * %i),log(Gamma(1. + 7.6 * %i)),_
lng2(1. + 7.6 * %i)-log(Gamma(1. + 7.6 * %i)),_
lng2(1. + 7.6 * %i),logGamma(1. + 7.6 * %i),_
lng2(1. + 7.6 * %i)-logGamma(1. + 7.6 * %i),_
lng2(1. + 7.6 * %i)-(- 10.005039426790 + 8.588353570962 * %i)],_
[1. + 7.7 * %i,- 10.155583018686 + 8.791966070587 * %i,_
lng2(1. + 7.7 * %i),log(Gamma(1. + 7.7 * %i)),_
lng2(1. + 7.7 * %i)-log(Gamma(1. + 7.7 * %i)),_
lng2(1. + 7.7 * %i),logGamma(1. + 7.7 * %i),_
lng2(1. + 7.7 * %i)-logGamma(1. + 7.7 * %i),_
lng2(1. + 7.7 * %i)-(- 10.155583018686 + 8.791966070587 * %i)],_
[1. + 7.8 * %i,- 10.306210948948 + 8.996873644229 * %i,_
lng2(1. + 7.8 * %i),log(Gamma(1. + 7.8 * %i)),_
lng2(1. + 7.8 * %i)-log(Gamma(1. + 7.8 * %i)),_
lng2(1. + 7.8 * %i),logGamma(1. + 7.8 * %i),_
lng2(1. + 7.8 * %i)-logGamma(1. + 7.8 * %i),_
lng2(1. + 7.8 * %i)-(- 10.306210948948 + 8.996873644229 * %i)],_
[1. + 7.9 * %i,- 10.456921068739 + 9.203059779925 * %i,_
lng2(1. + 7.9 * %i),log(Gamma(1. + 7.9 * %i)),_
lng2(1. + 7.9 * %i)-log(Gamma(1. + 7.9 * %i)),_
lng2(1. + 7.9 * %i),logGamma(1. + 7.9 * %i),_
lng2(1. + 7.9 * %i)-logGamma(1. + 7.9 * %i),_
lng2(1. + 7.9 * %i)-(- 10.456921068739 + 9.203059779925 * %i)],_
[1. + 8.0 * %i,- 10.607711310315 + 9.410508380312 * %i,_
lng2(1. + 8.0 * %i),log(Gamma(1. + 8.0 * %i)),_
lng2(1. + 8.0 * %i)-log(Gamma(1. + 8.0 * %i)),_
lng2(1. + 8.0 * %i),logGamma(1. + 8.0 * %i),_
lng2(1. + 8.0 * %i)-logGamma(1. + 8.0 * %i),_
lng2(1. + 8.0 * %i)-(- 10.607711310315 + 9.410508380312 * %i)],_
[1. + 8.1 * %i,- 10.758579682995 + 9.619203747242 * %i,_
lng2(1. + 8.1 * %i),log(Gamma(1. + 8.1 * %i)),_
lng2(1. + 8.1 * %i)-log(Gamma(1. + 8.1 * %i)),_
lng2(1. + 8.1 * %i),logGamma(1. + 8.1 * %i),_
lng2(1. + 8.1 * %i)-logGamma(1. + 8.1 * %i),_
lng2(1. + 8.1 * %i)-(- 10.758579682995 + 9.619203747242 * %i)],_
[1. + 8.2 * %i,- 10.909524269378 + 9.829130567162 * %i,_
lng2(1. + 8.2 * %i),log(Gamma(1. + 8.2 * %i)),_
lng2(1. + 8.2 * %i)-log(Gamma(1. + 8.2 * %i)),_
lng2(1. + 8.2 * %i),logGamma(1. + 8.2 * %i),_
lng2(1. + 8.2 * %i)-logGamma(1. + 8.2 * %i),_

lng2(1. + 8.2 * %i)-(- 10.909524269378 + 9.829130567162 * %i)],_
[1. + 8.3 * %i,- 11.060543221792 + 10.040273897180 * %i,_
lng2(1. + 8.3 * %i),log(Gamma(1. + 8.3 * %i)),_
lng2(1. + 8.3 * %i)-log(Gamma(1. + 8.3 * %i)),_
lng2(1. + 8.3 * %i),logGamma(1. + 8.3 * %i),_
lng2(1. + 8.3 * %i)-logGamma(1. + 8.3 * %i),_
lng2(1. + 8.3 * %i)-(- 11.060543221792 + 10.040273897180 * %i)],_
[1. + 8.4 * %i,- 11.211634758948 + 10.252619151809 * %i,_
lng2(1. + 8.4 * %i),log(Gamma(1. + 8.4 * %i)),_
lng2(1. + 8.4 * %i)-log(Gamma(1. + 8.4 * %i)),_
lng2(1. + 8.4 * %i),logGamma(1. + 8.4 * %i),_
lng2(1. + 8.4 * %i)-logGamma(1. + 8.4 * %i),_
lng2(1. + 8.4 * %i)-(- 11.211634758948 + 10.252619151809 * %i)],_
[1. + 8.5 * %i,- 11.362797162804 + 10.466152090324 * %i,_
lng2(1. + 8.5 * %i),log(Gamma(1. + 8.5 * %i)),_
lng2(1. + 8.5 * %i)-log(Gamma(1. + 8.5 * %i)),_
lng2(1. + 8.5 * %i),logGamma(1. + 8.5 * %i),_
lng2(1. + 8.5 * %i)-logGamma(1. + 8.5 * %i),_
lng2(1. + 8.5 * %i)-(- 11.362797162804 + 10.466152090324 * %i)],_
[1. + 8.6 * %i,- 11.514028775602 + 10.680858804712 * %i,_
lng2(1. + 8.6 * %i),log(Gamma(1. + 8.6 * %i)),_
lng2(1. + 8.6 * %i)-log(Gamma(1. + 8.6 * %i)),_
lng2(1. + 8.6 * %i),logGamma(1. + 8.6 * %i),_
lng2(1. + 8.6 * %i)-logGamma(1. + 8.6 * %i),_
lng2(1. + 8.6 * %i)-(- 11.514028775602 + 10.680858804712 * %i)],_
[1. + 8.7 * %i,- 11.665327997081 + 10.896725708177 * %i,_
lng2(1. + 8.7 * %i),log(Gamma(1. + 8.7 * %i)),_
lng2(1. + 8.7 * %i)-log(Gamma(1. + 8.7 * %i)),_
lng2(1. + 8.7 * %i),logGamma(1. + 8.7 * %i),_
lng2(1. + 8.7 * %i)-logGamma(1. + 8.7 * %i),_
lng2(1. + 8.7 * %i)-(- 11.665327997081 + 10.896725708177 * %i)],_
[1. + 8.8 * %i,- 11.816693281848 + 11.113739524157 * %i,_
lng2(1. + 8.8 * %i),log(Gamma(1. + 8.8 * %i)),_
lng2(1. + 8.8 * %i)-log(Gamma(1. + 8.8 * %i)),_
lng2(1. + 8.8 * %i),logGamma(1. + 8.8 * %i),_
lng2(1. + 8.8 * %i)-logGamma(1. + 8.8 * %i),_
lng2(1. + 8.8 * %i)-(- 11.816693281848 + 11.113739524157 * %i)],_
[1. + 8.9 * %i,- 11.968123136901 + 11.331887275853 * %i,_
lng2(1. + 8.9 * %i),log(Gamma(1. + 8.9 * %i)),_
lng2(1. + 8.9 * %i)-log(Gamma(1. + 8.9 * %i)),_
lng2(1. + 8.9 * %i),logGamma(1. + 8.9 * %i),_
lng2(1. + 8.9 * %i)-logGamma(1. + 8.9 * %i),_
lng2(1. + 8.9 * %i)-(- 11.968123136901 + 11.331887275853 * %i)],_
[1. + 9.0 * %i,- 12.119616119281 + 11.551156276202 * %i,_
lng2(1. + 9.0 * %i),log(Gamma(1. + 9.0 * %i)),_
lng2(1. + 9.0 * %i)-log(Gamma(1. + 9.0 * %i)),_
lng2(1. + 9.0 * %i),logGamma(1. + 9.0 * %i),_
lng2(1. + 9.0 * %i)-logGamma(1. + 9.0 * %i),_
lng2(1. + 9.0 * %i)-(- 12.119616119281 + 11.551156276202 * %i)],_
[1. + 9.1 * %i,- 12.271170833867 + 11.771534118309 * %i,_

lng2(1. + 9.1 * %i),log(Gamma(1. + 9.1 * %i)),_
lng2(1. + 9.1 * %i)-log(Gamma(1. + 9.1 * %i)),_
lng2(1. + 9.1 * %i),logGamma(1. + 9.1 * %i),_
lng2(1. + 9.1 * %i)-logGamma(1. + 9.1 * %i),_
lng2(1. + 9.1 * %i)-(- 12.271170833867 + 11.771534118309 * %i)],_
[1. + 9.2 * %i,- 12.422785931281 + 11.993008666285 * %i,_
lng2(1. + 9.2 * %i),log(Gamma(1. + 9.2 * %i)),_
lng2(1. + 9.2 * %i)-log(Gamma(1. + 9.2 * %i)),_
lng2(1. + 9.2 * %i),logGamma(1. + 9.2 * %i),_
lng2(1. + 9.2 * %i)-logGamma(1. + 9.2 * %i),_
lng2(1. + 9.2 * %i)-(- 12.422785931281 + 11.993008666285 * %i)],_
[1. + 9.3 * %i,- 12.574460105908 + 12.215568046479 * %i,_
lng2(1. + 9.3 * %i),log(Gamma(1. + 9.3 * %i)),_
lng2(1. + 9.3 * %i)-log(Gamma(1. + 9.3 * %i)),_
lng2(1. + 9.3 * %i),logGamma(1. + 9.3 * %i),_
lng2(1. + 9.3 * %i)-logGamma(1. + 9.3 * %i),_
lng2(1. + 9.3 * %i)-(- 12.574460105908 + 12.215568046479 * %i)],_
[1. + 9.4 * %i,- 12.726192094029 + 12.439200639090 * %i,_
lng2(1. + 9.4 * %i),log(Gamma(1. + 9.4 * %i)),_
lng2(1. + 9.4 * %i)-log(Gamma(1. + 9.4 * %i)),_
lng2(1. + 9.4 * %i),logGamma(1. + 9.4 * %i),_
lng2(1. + 9.4 * %i)-logGamma(1. + 9.4 * %i),_
lng2(1. + 9.4 * %i)-(- 12.726192094029 + 12.439200639090 * %i)],_
[1. + 9.5 * %i,- 12.877980672044 + 12.663895070128 * %i,_
lng2(1. + 9.5 * %i),log(Gamma(1. + 9.5 * %i)),_
lng2(1. + 9.5 * %i)-log(Gamma(1. + 9.5 * %i)),_
lng2(1. + 9.5 * %i),logGamma(1. + 9.5 * %i),_
lng2(1. + 9.5 * %i)-logGamma(1. + 9.5 * %i),_
lng2(1. + 9.5 * %i)-(- 12.877980672044 + 12.663895070128 * %i)],_
[1. + 9.6 * %i,- 13.029824654789 + 12.889640203708 * %i,_
lng2(1. + 9.6 * %i),log(Gamma(1. + 9.6 * %i)),_
lng2(1. + 9.6 * %i)-log(Gamma(1. + 9.6 * %i)),_
lng2(1. + 9.6 * %i),logGamma(1. + 9.6 * %i),_
lng2(1. + 9.6 * %i)-logGamma(1. + 9.6 * %i),_
lng2(1. + 9.6 * %i)-(- 13.029824654789 + 12.889640203708 * %i)],_
[1. + 9.7 * %i,- 13.181722893951 + 13.116425134666 * %i,_
lng2(1. + 9.7 * %i),log(Gamma(1. + 9.7 * %i)),_
lng2(1. + 9.7 * %i)-log(Gamma(1. + 9.7 * %i)),_
lng2(1. + 9.7 * %i),logGamma(1. + 9.7 * %i),_
lng2(1. + 9.7 * %i)-logGamma(1. + 9.7 * %i),_
lng2(1. + 9.7 * %i)-(- 13.181722893951 + 13.116425134666 * %i)],_
[1. + 9.8 * %i,- 13.333674276547 + 13.344239181477 * %i,_
lng2(1. + 9.8 * %i),log(Gamma(1. + 9.8 * %i)),_
lng2(1. + 9.8 * %i)-log(Gamma(1. + 9.8 * %i)),_
lng2(1. + 9.8 * %i),logGamma(1. + 9.8 * %i),_
lng2(1. + 9.8 * %i)-logGamma(1. + 9.8 * %i),_
lng2(1. + 9.8 * %i)-(- 13.333674276547 + 13.344239181477 * %i)],_
[1. + 9.9 * %i,- 13.485677723495 + 13.573071879455 * %i,_
lng2(1. + 9.9 * %i),log(Gamma(1. + 9.9 * %i)),_
lng2(1. + 9.9 * %i)-log(Gamma(1. + 9.9 * %i)),_

lng2(1. + 9.9 * %i),logGamma(1. + 9.9 * %i),_
lng2(1. + 9.9 * %i)-logGamma(1. + 9.9 * %i),_
lng2(1. + 9.9 * %i)-(- 13.485677723495 + 13.573071879455 * %i)],_
[1. + 10.0 * %i,- 13.637732188247 + 13.802912974230 * %i,_
lng2(1. + 10.0 * %i),log(Gamma(1. + 10.0 * %i)),_
lng2(1. + 10.0 * %i)-log(Gamma(1. + 10.0 * %i)),_
lng2(1. + 10.0 * %i),logGamma(1. + 10.0 * %i),_
lng2(1. + 10.0 * %i)-logGamma(1. + 10.0 * %i),_
lng2(1. + 10.0 * %i)-(- 13.637732188247 + 13.802912974230 * %i)]]
--R
--R   Compiling function lng2 with type Complex(DoubleFloat) -> Complex(
--R      DoubleFloat)
--R
--R   (12)
--R   [[1.,0.,0.,0.],
--R
--R     [1. + 0.10000000000000001 %i,
--R      - 8.1977805649999999E-3 - 5.7322940417000007E-2 %i,
--R      - 8.1977805654074309E-3 - 5.732294041672345E-2 %i,
--R      - 8.1977805654051359E-3 - 5.7322940416719675E-2 %i,
--R      - 2.2950391587173158E-15 - 3.7747582837255322E-15 %i,
--R      - 8.1977805654074309E-3 - 5.732294041672345E-2 %i,
--R      - 8.1977805654052105E-3 - 5.7322940416719675E-2 %i,
--R      - 2.2204460492503131E-15 - 3.7747582837255322E-15 %i,
--R      - 4.0743103335572073E-13 + 2.7655655543412649E-13 %i]
--R     ,
--R
--R     [1. + 0.20000000000000001 %i, - 3.2476292318000005E-2 - 0.112302222644 %i,
--R      - 3.2476292318133204E-2 - 0.11230222264419082 %i,
--R      - 3.2476292318128805E-2 - 0.11230222264418371 %i,
--R      - 4.3992587350771828E-15 - 7.1054273576010019E-15 %i,
--R      - 3.2476292318133204E-2 - 0.11230222264419082 %i,
--R      - 3.2476292318128763E-2 - 0.11230222264418371 %i,
--R      - 4.4408920985006262E-15 - 7.1054273576010019E-15 %i,
--R      - 1.3319900737940316E-13 - 1.9081958235744878E-13 %i]
--R     ,
--R
--R     [1. + 0.29999999999999999 %i,
--R      - 7.1946250900000008E-2 - 0.16282067216799997 %i,
--R      - 7.1946250899646902E-2 - 0.16282067216786528 %i,
--R      - 7.1946250899640213E-2 - 0.16282067216785573 %i,
--R      - 6.6890937233665682E-15 - 9.5479180117763462E-15 %i,
--R      - 7.1946250899646902E-2 - 0.16282067216786528 %i,
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--R      4.9741544216885814E-11 - 4.1051606558539788E-11 %i]
--R     ,
--R
--R     [1. + 9.8000000000000007 %i, - 13.333674276546999 + 13.344239181477 %i,
--R      - 13.33367427649825 + 13.344239181432879 %i,
--R      - 13.333674276547052 + 0.77786856711780805 %i,
--R      4.8801851448843081E-11 + 12.566370614315071 %i,
--R      - 13.33367427649825 + 13.344239181432879 %i,
--R      - 13.333674276547052 + 13.344239181476981 %i,
--R      4.8801851448843081E-11 - 4.4101611251790018E-11 %i,
--R      4.8748560743661074E-11 - 4.4121151177023421E-11 %i]
--R     ,
--R
--R     [1. + 9.8999999999999986 %i, - 13.485677723495002 + 13.573071879455 %i,
--R      - 13.485677723446965 + 13.573071879407928 %i,
--R      - 13.485677723494529 + 1.0067012650958449 %i,
--R      4.7563730731781106E-11 + 12.566370614312083 %i,
--R      - 13.485677723446965 + 13.573071879407928 %i,
--R      - 13.485677723494529 + 13.573071879455018 %i,
--R      4.7563730731781106E-11 - 4.708944345566124E-11 %i,
--R      4.8036241651061573E-11 - 4.7071679887267237E-11 %i]
--R     ,
--R
--R     [1. + 10. %i, - 13.637732188247 + 13.802912974230001 %i,
--R      - 13.637732188201092 + 13.802912974179876 %i,
--R      - 13.637732188247268 + 1.2365423598707301 %i,
--R      4.6176396040209511E-11 + 12.566370614309145 %i,
--R      - 13.637732188201092 + 13.802912974179876 %i,
--R      - 13.637732188247268 + 13.802912974229903 %i,
--R      4.6176396040209511E-11 - 5.0027537668029254E-11 %i,
--R      4.5908166157460073E-11 - 5.0125237294196268E-11 %i]
--R     ]
--R                                       Type: List(List(Complex(DoubleFloat)))
--E 12
)spool
)lisp (bye)

———-

5.2 Gamma

Because we use this file for regression testing and regression tests do not yet allow graphics the rest of this file is commented out.

This is the graph of the gamma and 1/gamma functions. We are going to combine two graphs in a single viewport so we enable color differences for the two graphs.

)clear all
lineColorDefault(green())

viewport1:=draw(Gamma(i), i=-4.2..4, adaptive==true, unit==[1.0,1.0])
lineColorDefault(blue())
viewport2:=draw(1/Gamma(i), i=-4.2..4, adaptive==true, unit==[1.0,1.0])
putGraph(viewport2,getGraph(viewport1,1),2)
points(viewport2,1,"off")
points(viewport2,2,"off")
makeViewport2D(viewport2)
close(viewport1)
close(viewport2)

This is a graph of the log(gamma) function.

)clear all
viewport:=draw(log Gamma(i), i=0..8, adaptive==true, unit==[1.0,1.0])
points(viewport1,1,"off")
close(viewport)

This is a graph of the Psi function

)clear all
Psi(x)==polygamma(0,x)
viewport:=draw(Psi(y),y=-3.5..4,adaptive==true)
scale(viewport,1,0.9,22.5)
translate(viewport,1,0,-0.02)
points(viewport,1,"off")
close(viewport)

References

[1] Digital Library of Mathematical Functions, http://dlmf.nist.gov

[2] Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp267-270

[3] Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp277