diff --git a/changelog b/changelog index fcf4409..d8eef16 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,5 @@ +20100101 tpd src/axiom-website/patches.html 20090101.03.tpd.patch +20101010 tpd src/input/en.input rewrite using machineFraction 20100101 tpd src/axiom-website/patches.html 20090101.02.tpd.patch 20100101 tpd books/bookvol10.4 fix API regression 20100101 tpd src/axiom-website/patches.html 20090101.01.tpd.patch diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index b9eeeeb..dc59492 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2350,5 +2350,7 @@ books/bookvol5 add banner and cleanup globals
books/bookvol10.3 add dfloat machineFraction, integerDecode
20090101.02.tpd.patch books/bookvol10.4 fix API regression
+20090101.03.tpd.patch +src/input/en.input rewrite using machineFraction
diff --git a/src/input/en.input.pamphlet b/src/input/en.input.pamphlet index 3bfe66c..ccf48c4 100644 --- a/src/input/en.input.pamphlet +++ b/src/input/en.input.pamphlet @@ -29,11 +29,16 @@ This table expresses the value of $E_2$ with an argument range of 0.01 to 0.50. The handbook tabulates these values using this function. \begin{chunk}{*} + --S 1 of 7 f(x)==En(2,x)-x*log(x) +--R +--R Type: Void --E 1 --S 2 of 7 +t2:List List Fraction Integer:=[[machineFraction (x::DFLOAT) for x in line]_ + for line in _ [[0.01,0.9957222,f(0.01),f(0.01)-0.9957222],_ [0.02,0.9913450,f(0.02),f(0.02)-0.9913450],_ [0.03,0.9868687,f(0.03),f(0.03)-0.9868687],_ @@ -83,169 +88,326 @@ f(x)==En(2,x)-x*log(x) [0.47,0.6988605,f(0.47),f(0.47)-0.6988605],_ [0.48,0.6903921,f(0.48),f(0.48)-0.6903921],_ [0.49,0.6818443,f(0.49),f(0.49)-0.6818443],_ -[0.50,0.6732175,f(0.50),f(0.50)-0.6732175]] +[0.50,0.6732175,f(0.50),f(0.50)-0.6732175]]] --R --R Compiling function f with type Float -> OnePointCompletion --R DoubleFloat --R --R (2) ---R [[1.0E-2,0.9957222,0.99572223984366792,3.9843667920536063E-8], ---R [2.0E-2,0.99134500000000003,0.991344977749124,- 2.2250876030582845E-8], ---R ---R [2.9999999999999999E-2, 0.98686870000000004, 0.98686870874746913, ---R 8.7474690824151935E-9] ---R , ---R ---R [4.0000000000000001E-2, 0.98229390000000005, 0.98229392458604003, ---R 2.4586039981677743E-8] ---R , ---R ---R [5.0000000000000003E-2, 0.97762110000000002, 0.97762111375291483, ---R 1.3752914806985927E-8] ---R , ---R ---R [5.9999999999999998E-2, 0.97285080000000002, 0.97285076150122396, ---R - 3.8498776055995165E-8] ---R , ---R ---R [7.0000000000000007E-2, 0.96798340000000005, 0.96798334987326684, ---R - 5.0126733208699648E-8] ---R , ---R ---R [8.0000000000000002E-2, 0.96301939999999997, 0.96301935772443681, ---R - 4.2275563161275898E-8] ---R , ---R ---R [8.9999999999999997E-2, 0.95795929999999996, 0.95795926074695703, ---R - 3.9253042927178683E-8] ---R , ---R ---R [0.10000000000000001, 0.95280350000000003, 0.95280353149342489, ---R 3.149342486796769E-8] ---R , ---R [0.11,0.94755259999999997,0.94755263940017342,3.9400173457160292E-8], ---R [0.12,0.94220709999999996,0.94220705081044254,- 4.9189557427276043E-8], ---R [0.13,0.93676720000000002,0.93676722899736986,2.8997369838634768E-8], ---R ---R [0.14000000000000001, 0.93123359999999999, 0.93123363418679772, ---R 3.4186797726043494E-8] ---R , ---R [0.14999999999999999,0.9256067,0.92560672357989859,2.3579898589254356E-8], ---R [0.16,0.91988700000000001,0.91988695137562182,- 4.8624378190531559E-8], ---R ---R [0.17000000000000001, 0.91407479999999997, 0.91407476879296246, ---R - 3.1207037509695112E-8] ---R , ---R ---R [0.17999999999999999, 0.90817060000000005, 0.90817062409305238, ---R 2.4093052330975695E-8] ---R , ---R [0.19,0.90217499999999995,0.90217496260107799,- 3.7398921959308495E-8], ---R [0.20000000000000001,0.8960882,0.89608822672802324,2.6728023239108722E-8], ---R ---R [0.20999999999999999, 0.88991089999999995, 0.88991085599224007, ---R - 4.400775988067096E-8] ---R , ---R [0.22,0.88364330000000002,0.88364328704084927,- 1.2959150752500648E-8], ---R ---R [0.23000000000000001, 0.87728600000000001, 0.87728595367097117, ---R - 4.6329028835501163E-8] ---R , ---R ---R [0.23999999999999999, 0.87083929999999998, 0.8708392868507886, ---R - 1.3149211386398463E-8] ---R , ---R [0.25,0.86430370000000001,0.86430371474044287,1.4740442866312264E-8], ---R ---R [0.26000000000000001, 0.85767970000000004, 0.85767966271276586, ---R - 3.7287234189165019E-8] ---R , ---R ---R [0.27000000000000002, 0.85096760000000005, 0.85096755337384578, ---R - 4.6626154270867914E-8] ---R , ---R ---R [0.28000000000000003, 0.84416780000000002, 0.84416780658343327, ---R 6.5834332430014797E-9] ---R , ---R ---R [0.28999999999999998, 0.83728080000000005, 0.8372808394751845, ---R 3.9475184454573764E-8] ---R , ---R ---R [0.29999999999999999, 0.83030709999999996, 0.83030706647674468, ---R - 3.3523255282830178E-8] ---R , ---R [0.31,0.8232469,0.82324689932967399,- 6.7032601691607852E-10], ---R ---R [0.32000000000000001, 0.81610070000000001, 0.81610074710921554, ---R 4.7109215528529091E-8] ---R , ---R ---R [0.33000000000000002, 0.80886899999999995, 0.80886901624390695, ---R 1.6243906997281954E-8] ---R , ---R ---R [0.34000000000000002, 0.80155209999999999, 0.80155211053503872, ---R 1.0535038730274948E-8] ---R , ---R ---R [0.34999999999999998, 0.79415040000000003, 0.79415043117595796, ---R 3.1175957926343756E-8] ---R , ---R ---R [0.35999999999999999, 0.78666440000000004, 0.78666437677122092, ---R - 2.3228779122419496E-8] ---R , ---R [0.37,0.77909430000000002,0.77909434335559369,4.3355593670746373E-8], ---R [0.38,0.77144069999999998,0.77144072441290445,2.4412904475745734E-8], ---R ---R [0.39000000000000001, 0.76370389999999999, 0.76370391089474698, ---R 1.089474699345061E-8] ---R , ---R ---R [0.40000000000000002, 0.75588429999999995, 0.75588429123903633, ---R - 8.7609636212349074E-9] ---R , ---R ---R [0.40999999999999998, 0.74798229999999999, 0.74798225138841923, ---R - 4.8611580760749007E-8] ---R , ---R ---R [0.41999999999999998, 0.73999820000000005, 0.73999817480853991, ---R - 2.5191460140128186E-8] ---R , ---R ---R [0.42999999999999999, 0.73193240000000004, 0.73193244250616207, ---R 4.2506162034605666E-8] ---R , ---R [0.44,0.72378540000000002,0.7237854330471486,3.3047148573217555E-8], ---R ---R [0.45000000000000001, 0.71555749999999996, 0.71555752257429939, ---R 2.2574299429756195E-8] ---R , ---R ---R [0.46000000000000002, 0.70724909999999996, 0.70724908482505056, ---R - 1.517494940816988E-8] ---R , ---R [0.46999999999999997,0.6988605,0.6988604911490337,- 8.8509662932167998E-9], ---R ---R [0.47999999999999998, 0.69039209999999995, 0.69039211052549776, ---R 1.0525497806668227E-8] ---R , ---R ---R [0.48999999999999999, 0.68184429999999996, 0.68184430958059394, ---R 9.5805939848148114E-9] ---R , ---R [0.5,0.67321750000000002,0.67321745260452559,- 4.739547443399772E-8]] ---R Type: List List OnePointCompletion DoubleFloat +--R 2882303761517117 2242167064442265 8968668616648917 358879857 +--R [[------------------,----------------,----------------,----------------], +--R 288230376151711744 2251799813685248 9007199254740992 9007199254740992 +--R 2882303761517117 1116155243148901 8929241744773135 200418073 +--R [------------------,----------------,----------------,- ----------------], +--R 144115188075855872 1125899906842624 9007199254740992 9007199254740992 +--R 1080863910568919 8888923019167211 8888923097957409 39395099 +--R [-----------------,----------------,----------------,----------------], +--R 36028797018963968 9007199254740992 9007199254740992 4503599627370496 +--R 2882303761517117 4423858442008311 552982319091749 110725681 +--R [-----------------,----------------,---------------,----------------], +--R 72057594037927936 4503599627370496 562949953421312 4503599627370496 +--R 7205759403792793 2201407010834767 8805628167214313 123875245 +--R [------------------,----------------,----------------,----------------], +--R 144115188075855872 2251799813685248 9007199254740992 9007199254740992 +--R 1080863910568919 8762661000734177 8762660653968031 173383073 +--R [-----------------,----------------,----------------,- ----------------], +--R 18014398509481984 9007199254740992 9007199254740992 4503599627370496 +--R 5044031582654955 8718819359081651 4359409453790089 451501473 +--R [-----------------,----------------,----------------,- ----------------], +--R 72057594037927936 9007199254740992 4503599627370496 9007199254740992 +--R 2882303761517117 8674107621981117 1084263405149587 380784421 +--R [-----------------,----------------,----------------,- ----------------], +--R 36028797018963968 9007199254740992 1125899906842624 9007199254740992 +--R 3242591731706757 4314265146516101 4314264969736111 88389995 +--R [-----------------,----------------,----------------,- ----------------], +--R 36028797018963968 4503599627370496 4503599627370496 2251799813685248 +--R 7205759403792793 536380685944663 2145522814695541 70916889 +--R [-----------------,---------------,----------------,----------------], +--R 72057594037927936 562949953421312 2251799813685248 2251799813685248 +--R 990791918021509 8534795072547889 4267397713716551 354885213 +--R [----------------,----------------,----------------,----------------], +--R 9007199254740992 9007199254740992 4503599627370496 9007199254740992 +--R 1080863910568919 8486647088931671 8486646645871525 221530073 +--R [----------------,----------------,----------------,- ----------------], +--R 9007199254740992 9007199254740992 9007199254740992 4503599627370496 +--R 4683743612465315 8437648825705805 4218824543445447 261185089 +--R [-----------------,----------------,----------------,----------------], +--R 36028797018963968 9007199254740992 4503599627370496 9007199254740992 +--R 5044031582654955 8387806587909771 4193903447918535 307927299 +--R [-----------------,----------------,----------------,----------------], +--R 36028797018963968 9007199254740992 4503599627370496 9007199254740992 +--R 5404319552844595 2084280994605817 4168562095406057 106194423 +--R [-----------------,----------------,----------------,----------------], +--R 36028797018963968 2251799813685248 4503599627370496 4503599627370496 +--R 2882303761517117 4142802750422963 517850316429779 218984731 +--R [-----------------,----------------,---------------,- ----------------], +--R 18014398509481984 4503599627370496 562949953421312 4503599627370496 +--R 3062447746611937 8233253857337521 2058313394062379 281088005 +--R [-----------------,----------------,----------------,- ----------------], +--R 18014398509481984 9007199254740992 2251799813685248 9007199254740992 +--R 3242591731706757 8180073551497679 4090036884254301 217010923 +--R [-----------------,----------------,----------------,----------------], +--R 18014398509481984 9007199254740992 4503599627370496 9007199254740992 +--R 6845471433603153 4063034993822977 2031517412696603 168429771 +--R [-----------------,----------------,----------------,- ----------------], +--R 36028797018963968 4503599627370496 2251799813685248 4503599627370496 +--R 7205759403792793 2017811241805549 2017811301991707 30093079 +--R [-----------------,----------------,----------------,----------------], +--R 36028797018963968 2251799813685248 2251799813685248 1125899906842624 +--R 7566047373982433 8015604795265885 4007802199439611 396386663 +--R [-----------------,----------------,----------------,- ----------------], +--R 36028797018963968 9007199254740992 4503599627370496 9007199254740992 +--R 990791918021509 3979575636608435 3979575578245609 29181413 +--R [----------------,----------------,----------------,- ----------------], +--R 4503599627370496 4503599627370496 4503599627370496 2251799813685248 +--R 517913957147607 7901889805394705 987736173512489 417294793 +--R [----------------,----------------,----------------,- ----------------], +--R 2251799813685248 9007199254740992 1125899906842624 9007199254740992 +--R 1080863910568919 7843823093959167 122559733992525 118437567 +--R [----------------,----------------,---------------,- ----------------], +--R 4503599627370496 9007199254740992 140737488355328 9007199254740992 +--R 1 7784955642509881 1946238943819997 132770107 +--R [-,----------------,----------------,----------------], +--R 4 9007199254740992 2251799813685248 9007199254740992 +--R 4683743612465315 7725291954646477 3862645809396465 335853547 +--R [-----------------,----------------,----------------,- ----------------], +--R 18014398509481984 9007199254740992 4503599627370496 9007199254740992 +--R 4863887597560135 3832417366264365 7664834312557669 419971061 +--R [-----------------,----------------,----------------,- ----------------], +--R 18014398509481984 4503599627370496 9007199254740992 9007199254740992 +--R 5044031582654955 3801793789518171 3801793819167319 7412287 +--R [-----------------,----------------,----------------,----------------], +--R 18014398509481984 4503599627370496 4503599627370496 1125899906842624 +--R 5224175567749775 7541554997768941 7541555353329793 88890213 +--R [-----------------,----------------,----------------,----------------], +--R 18014398509481984 9007199254740992 9007199254740992 2251799813685248 +--R 5404319552844595 3739370746163077 7478741190375513 301950641 +--R [-----------------,----------------,----------------,- ----------------], +--R 18014398509481984 4503599627370496 9007199254740992 9007199254740992 +--R 5584463537939415 7415148864147831 926893607263759 6037759 +--R [-----------------,----------------,----------------,- ----------------], +--R 18014398509481984 9007199254740992 1125899906842624 9007199254740992 +--R 2882303761517117 7350781616833601 7350782041155693 106080523 +--R [----------------,----------------,----------------,----------------], +--R 9007199254740992 9007199254740992 9007199254740992 2251799813685248 +--R 2972375754064527 7285644253983091 3642822200147599 146312107 +--R [----------------,----------------,----------------,----------------], +--R 9007199254740992 9007199254740992 4503599627370496 9007199254740992 +--R 3062447746611937 7219739477756077 7219739572647271 47445597 +--R [----------------,----------------,----------------,----------------], +--R 9007199254740992 9007199254740992 9007199254740992 4503599627370496 +--R 3152519739159347 1788267722758065 3576535585920163 140404033 +--R [----------------,----------------,----------------,----------------], +--R 9007199254740992 2251799813685248 4503599627370496 4503599627370496 +--R 3242591731706757 7085642997411269 1771410697046257 209226241 +--R [----------------,----------------,----------------,- ----------------], +--R 9007199254740992 9007199254740992 2251799813685248 9007199254740992 +--R 3332663724254167 3508728799166477 3508728994422713 48814059 +--R [----------------,----------------,----------------,----------------], +--R 9007199254740992 4503599627370496 4503599627370496 1125899906842624 +--R 6845471433603153 6948520098116869 6948520318008765 27486487 +--R [-----------------,----------------,----------------,----------------], +--R 18014398509481984 9007199254740992 9007199254740992 1125899906842624 +--R 7025615418697973 6878833198922789 6878833297053947 49065579 +--R [-----------------,----------------,----------------,----------------], +--R 18014398509481984 9007199254740992 9007199254740992 4503599627370496 +--R 7205759403792793 425525031476901 6808400424718671 78911745 +--R [-----------------,---------------,----------------,- ----------------], +--R 18014398509481984 562949953421312 9007199254740992 9007199254740992 +--R 7385903388887613 6737225615119453 3368612588632629 437854195 +--R [-----------------,----------------,----------------,- ----------------], +--R 18014398509481984 9007199254740992 4503599627370496 9007199254740992 +--R 7566047373982433 6665311235549675 3332655504322587 226904501 +--R [-----------------,----------------,----------------,- ----------------], +--R 18014398509481984 9007199254740992 4503599627370496 9007199254740992 +--R 7746191359077253 6592660967800785 6592661350662257 11964421 +--R [-----------------,----------------,----------------,---------------], +--R 18014398509481984 9007199254740992 9007199254740992 281474976710656 +--R 990791918021509 3259639657736205 6519279613134663 297662253 +--R [----------------,----------------,----------------,----------------], +--R 2251799813685248 4503599627370496 9007199254740992 9007199254740992 +--R 2026619832316723 6445168980724327 6445169184055539 50832803 +--R [----------------,----------------,----------------,----------------], +--R 4503599627370496 9007199254740992 9007199254740992 2251799813685248 +--R 517913957147607 6370333566436237 1592583357438111 136683793 +--R [----------------,----------------,----------------,- ----------------], +--R 1125899906842624 9007199254740992 2251799813685248 9007199254740992 +--R 2116691824864133 6294775774767917 1573693923761375 79722417 +--R [----------------,----------------,----------------,- ----------------], +--R 4503599627370496 9007199254740992 2251799813685248 9007199254740992 +--R 1080863910568919 1554624802149767 1554624825851081 11850657 +--R [----------------,----------------,----------------,----------------], +--R 2251799813685248 2251799813685248 2251799813685248 1125899906842624 +--R 2206763817411543 6141507470809393 191922111159491 86294319 +--R [----------------,----------------,---------------,----------------], +--R 4503599627370496 9007199254740992 281474976710656 9007199254740992 +--R 1 6063804164278593 94746933396533 426900481 +--R [-,----------------,---------------,- ----------------]] +--R 2 9007199254740992 140737488355328 9007199254740992 +--R Type: List List Fraction Integer --E 2 \end{chunk} -This table expresses the value of -$E_2$ with an argument range of 0.50 to 2.00. + +The actual table values from above are: +\begin{verbatim} + [1.0E-2, 0.9957222, + 0.99572223984366792, + 3.9843667920536063E-8], + [2.0E-2, 0.99134500000000003, + 0.991344977749124, + -2.2250876030582845E-8], + [2.9999999999999999E-2, 0.98686870000000004, + 0.98686870874746913, + 8.7474690824151935E-9] + [4.0000000000000001E-2, 0.98229390000000005, + 0.98229392458604003, + 2.4586039981677743E-8] + [5.0000000000000003E-2, 0.97762110000000002, + 0.97762111375291483, + 1.3752914806985927E-8] + [5.9999999999999998E-2, 0.97285080000000002, + 0.97285076150122396, + -3.8498776055995165E-8] + [7.0000000000000007E-2, 0.96798340000000005, + 0.96798334987326684, + -5.0126733208699648E-8] + [8.0000000000000002E-2, 0.96301939999999997, + 0.96301935772443681, + -4.2275563161275898E-8] + [8.9999999999999997E-2, 0.95795929999999996, + 0.95795926074695703, + -3.9253042927178683E-8] + [0.10000000000000001, 0.95280350000000003, + 0.95280353149342489, + 3.149342486796769E-8] + [0.11, 0.94755259999999997, + 0.94755263940017342, + 3.9400173457160292E-8], + [0.12, 0.94220709999999996, + 0.94220705081044254, + -4.9189557427276043E-8], + [0.13, 0.93676720000000002, + 0.93676722899736986, + 2.8997369838634768E-8], + [0.14000000000000001, 0.93123359999999999, + 0.93123363418679772, + 3.4186797726043494E-8] + [0.14999999999999999, 0.9256067, + 0.92560672357989859, + 2.3579898589254356E-8], + [0.16, 0.91988700000000001, + 0.91988695137562182, + -4.8624378190531559E-8], + [0.17000000000000001, 0.91407479999999997, + 0.91407476879296246, + -3.1207037509695112E-8] + [0.17999999999999999, 0.90817060000000005, + 0.90817062409305238, + 2.4093052330975695E-8] + [0.19, 0.90217499999999995, + 0.90217496260107799, + -3.7398921959308495E-8], + [0.20000000000000001, 0.8960882, + 0.89608822672802324, + 2.6728023239108722E-8], + [0.20999999999999999, 0.88991089999999995, + 0.88991085599224007, + -4.400775988067096E-8] + [0.22, 0.88364330000000002, + 0.88364328704084927, + -1.2959150752500648E-8], + [0.23000000000000001, 0.87728600000000001, + 0.87728595367097117, + -4.6329028835501163E-8] + [0.23999999999999999, 0.87083929999999998, + 0.8708392868507886, + -1.3149211386398463E-8] + [0.25, 0.86430370000000001, + 0.86430371474044287, + 1.4740442866312264E-8], + [0.26000000000000001, 0.85767970000000004, + 0.85767966271276586, + -3.7287234189165019E-8] + [0.27000000000000002, 0.85096760000000005, + 0.85096755337384578, + -4.6626154270867914E-8] + [0.28000000000000003, 0.84416780000000002, + 0.84416780658343327, + 6.5834332430014797E-9] + [0.28999999999999998, 0.83728080000000005, + 0.8372808394751845, + 3.9475184454573764E-8] + [0.29999999999999999, 0.83030709999999996, + 0.83030706647674468, + -3.3523255282830178E-8] + [0.31, 0.8232469, + 0.82324689932967399, + -6.7032601691607852E-10], + [0.32000000000000001, 0.81610070000000001, + 0.81610074710921554, + 4.7109215528529091E-8] + [0.33000000000000002, 0.80886899999999995, + 0.80886901624390695, + 1.6243906997281954E-8] + [0.34000000000000002, 0.80155209999999999, + 0.80155211053503872, + 1.0535038730274948E-8] + [0.34999999999999998, 0.79415040000000003, + 0.79415043117595796, + 3.1175957926343756E-8] + [0.35999999999999999, 0.78666440000000004, + 0.78666437677122092, + -2.3228779122419496E-8] + [0.37, 0.77909430000000002, + 0.77909434335559369, + 4.3355593670746373E-8], + [0.38, 0.77144069999999998, + 0.77144072441290445, + 2.4412904475745734E-8], + [0.39000000000000001, 0.76370389999999999, + 0.76370391089474698, + 1.089474699345061E-8] + [0.40000000000000002, 0.75588429999999995, + 0.75588429123903633, + -8.7609636212349074E-9] + [0.40999999999999998, 0.74798229999999999, + 0.74798225138841923, + -4.8611580760749007E-8] + [0.41999999999999998, 0.73999820000000005, + 0.73999817480853991, + -2.5191460140128186E-8] + [0.42999999999999999, 0.73193240000000004, + 0.73193244250616207, + 4.2506162034605666E-8] + [0.44, 0.72378540000000002, + 0.7237854330471486, + 3.3047148573217555E-8], + [0.45000000000000001, 0.71555749999999996, + 0.71555752257429939, + 2.2574299429756195E-8] + [0.46000000000000002, 0.70724909999999996, + 0.70724908482505056, + -1.517494940816988E-8] + [0.46999999999999997, 0.6988605, + 0.6988604911490337, + -8.8509662932167998E-9], + [0.47999999999999998, 0.69039209999999995, + 0.69039211052549776, + 1.0525497806668227E-8] + [0.48999999999999999, 0.68184429999999996, + 0.68184430958059394, + 9.5805939848148114E-9] + [0.5, 0.67321750000000002, + 0.67321745260452559, + -4.739547443399772E-8]] + +\end{verbatim} \begin{chunk}{*} + --S 3 of 7 +t3:List List Fraction Integer:=[[machineFraction (x::DFLOAT) for x in line]_ + for line in _ [[0.50,0.3266439,En(2,0.50),En(2,0.50)-0.3266439],_ [0.51,0.3211062,En(2,0.51),En(2,0.51)-0.3211062],_ [0.52,0.3156863,En(2,0.52),En(2,0.52)-0.3156863],_ @@ -396,397 +558,941 @@ $E_2$ with an argument range of 0.50 to 2.00. [1.97,0.0390322,En(2,1.97),En(2,1.97)-0.0390322],_ [1.98,0.0385259,En(2,1.98),En(2,1.98)-0.0385259],_ [1.99,0.0380267,En(2,1.99),En(2,1.99)-0.0380267],_ -[2.00,0.0375343,En(2,2.00),En(2,2.00)-0.0375343]] +[2.00,0.0375343,En(2,2.00),En(2,2.00)-0.0375343]]] --R --R --R (3) ---R [[0.5,0.32664389999999999,0.326643862324553,- 3.7675446984408723E-8], ---R ---R [0.51000000000000001, 0.32110620000000001, 0.32110617940404323, ---R - 2.0595956773394875E-8] ---R , ---R ---R [0.52000000000000002, 0.31568629999999998, 0.31568625309046355, ---R - 4.6909536421946285E-8] ---R , ---R ---R [0.53000000000000003, 0.31038070000000001, 0.31038066931747649, ---R - 3.0682523521896599E-8] ---R , ---R ---R [0.54000000000000004, 0.30518620000000002, 0.30518615409477512, ---R - 4.5905224899112085E-8] ---R , ---R ---R [0.55000000000000004, 0.30009960000000002, 0.30009956561466999, ---R - 3.4385330027753014E-8] ---R , ---R ---R [0.56000000000000005, 0.29511789999999999, 0.29511788693397883, ---R - 1.3066021153917973E-8] ---R , ---R [0.56999999999999995,0.2902382,0.29023821917982273,1.9179822730031049E-8], ---R ---R [0.57999999999999996, 0.28545779999999998, 0.28545777523334881, ---R - 2.4766651174346066E-8] ---R , ---R ---R [0.58999999999999997, 0.28077390000000002, 0.28077387385015457, ---R - 2.6149845455680776E-8] ---R , ---R ---R [0.59999999999999998, 0.27618389999999998, 0.27618393418038506, ---R 3.4180385077853259E-8] ---R , ---R ---R [0.60999999999999999, 0.27168550000000002, 0.27168547065517928, ---R - 2.9344820740018207E-8] ---R , ---R [0.62,0.26727610000000002,0.26727608820941573,- 1.1790584286686112E-8], ---R [0.63,0.26295350000000001,0.26295347781362555,- 2.2186374459831626E-8], ---R ---R [0.64000000000000001, 0.25871539999999998, 0.25871541229051526, ---R 1.2290515272184166E-8] ---R , ---R [0.65000000000000002,0.2545597,0.25455974239385432,4.2393854315925239E-8], ---R [0.66000000000000003,0.2504844,0.25048439312952969,- 6.8704703037880677E-9], ---R [0.67000000000000004,0.2464874,0.24648736030041074,- 3.969958925487127E-8], ---R [0.68000000000000005,0.2425667,0.24256670725830815,7.2583081489607792E-9], ---R ---R [0.68999999999999995, 0.23872060000000001, 0.23872056184779239, ---R - 3.8152207615382849E-8] ---R , ---R ---R [0.69999999999999996, 0.23494709999999999, 0.23494711352795306, ---R 1.3527953063308118E-8] ---R , ---R ---R [0.70999999999999996, 0.23124459999999999, 0.23124461065938429, ---R 1.0659384291900054E-8] ---R , ---R ---R [0.71999999999999997, 0.22761139999999999, 0.22761135794474674, ---R - 4.2055253252071267E-8] ---R , ---R ---R [0.72999999999999998, 0.22404569999999999, 0.22404571401223494, ---R 1.4012234955673719E-8] ---R , ---R ---R [0.73999999999999999, 0.22054609999999999, 0.22054608913215246, ---R - 1.0867847538564845E-8] ---R , ---R [0.75,0.2171109,0.21711094305759215,4.3057592158390889E-8], ---R ---R [0.76000000000000001, 0.21373880000000001, 0.21373878298094046, ---R - 1.7019059550538174E-8] ---R , ---R ---R [0.77000000000000002, 0.21042820000000001, 0.21042816159857808, ---R - 3.8401421931233415E-8] ---R , ---R ---R [0.78000000000000003, 0.20717769999999999, 0.2071776752767438, ---R - 2.4723256192293874E-8] ---R , ---R [0.79000000000000004,0.203986,0.20398596231206947,- 3.7687930526386637E-8], ---R ---R [0.80000000000000004, 0.20085169999999999, 0.20085170128078714, ---R 1.2807871430098317E-9] ---R , ---R ---R [0.81000000000000005, 0.19777359999999999, 0.19777360947106051, ---R 9.4710605191838937E-9] ---R , ---R ---R [0.81999999999999995, 0.19475039999999999, 0.19475044139330239, ---R 4.1393302396830478E-8] ---R , ---R ---R [0.82999999999999996, 0.19178100000000001, 0.19178098736371621, ---R - 1.2636283797107239E-8] ---R , ---R ---R [0.83999999999999997, 0.18886410000000001, 0.18886407215664666, ---R - 2.7843353345158306E-8] ---R , ---R ---R [0.84999999999999998, 0.18599859999999999, 0.18599855372163451, ---R - 4.627836547310693E-8] ---R , ---R ---R [0.85999999999999999, 0.18318329999999999, 0.1831833219613668, ---R 2.1961366808431748E-8] ---R , ---R [0.87,0.1804173,0.18041729756697517,- 2.4330248371562391E-9], ---R [0.88,0.17769940000000001,0.17769943090737958,3.0907379572342464E-8], ---R ---R [0.89000000000000001, 0.17502870000000001, 0.17502870096960518, ---R 9.696051739283007E-10] ---R , ---R [0.90000000000000002,0.1724041,0.17240411434719952,1.4347199511766107E-8], ---R [0.91000000000000003,0.1698247,0.16982470427407523,4.2740752326242415E-9], ---R ---R [0.92000000000000004, 0.16728950000000001, 0.1672895297012775, ---R 2.9701277493021649E-8] ---R , ---R ---R [0.93000000000000005, 0.16479769999999999, 0.16479767441433715, ---R - 2.5585662838389922E-8] ---R , ---R [0.93999999999999995,0.1623482,0.16234824618902396,4.6189023966691778E-8], ---R ---R [0.94999999999999996, 0.15994040000000001, 0.15994037598345329, ---R - 2.4016546723570897E-8] ---R , ---R [0.95999999999999996,0.1575732,0.15757321716462735,1.7164627358345896E-8], ---R ---R [0.96999999999999997, 0.15524589999999999, 0.15524594476761389, ---R 4.4767613893714753E-8] ---R , ---R [0.97999999999999998,0.1529578,0.15295775478567628,- 4.5214323729503292E-8], ---R ---R [0.98999999999999999, 0.15070790000000001, 0.15070786348977031, ---R - 3.6510229700636998E-8] ---R , ---R [1.,0.1484955,0.14849550677592205,6.7759220456764524E-9], ---R [1.01,0.1463199,0.14631993953908851,3.9539088503293129E-8], ---R [1.02,0.14418039999999999,0.14418043507218453,3.5072184545459351E-8], ---R [1.03,0.14207629999999999,0.1420762844890415,- 1.551095848983941E-8], ---R [1.04,0.14000679999999999,0.14000679617012995,- 3.8298700322236812E-9], ---R [1.05,0.13797129999999999,0.13797129522994891,- 4.7700510763526438E-9], ---R ---R [1.0600000000000001, 0.13596910000000001, 0.13596912300504763, ---R 2.3005047616875274E-8] ---R , ---R [1.0700000000000001,0.1339996,0.13399963656170108,3.6561701083348552E-8], ---R ---R [1.0800000000000001, 0.13206219999999999, 0.13206220822231926, ---R 8.2223192698904768E-9] ---R , ---R [1.0900000000000001,0.1301562,0.13015622510971911,2.5109719109517314E-8], ---R ---R [1.1000000000000001, 0.12828110000000001, 0.12828108870843541, ---R - 1.1291564600002246E-8] ---R , ---R [1.1100000000000001,0.1264362,0.12643621444229519,1.4442295193095589E-8], ---R [1.1200000000000001,0.124621,0.12462103126751783,3.1267517838773351E-8], ---R [1.1299999999999999,0.122835,0.12283498128064541,- 1.871935459418772E-8], ---R [1.1399999999999999,0.1210775,0.12107751934064451,1.934064450259676E-8], ---R [1.1499999999999999,0.1193481,0.11934811270455489,1.270455489421618E-8], ---R ---R [1.1599999999999999, 0.11764620000000001, 0.11764624067609286, ---R 4.0676092855074231E-8] ---R , ---R [1.1699999999999999,0.1159714,0.11597139426664799,- 5.7333520153690642E-9], ---R [1.1799999999999999,0.1143231,0.11432307586814175,- 2.4131858247788962E-8], ---R [1.1899999999999999,0.1127008,0.11270079893724061,- 1.0627593943768332E-9], ---R [1.2,0.1111041,0.11110408769044711,- 1.2309552890887865E-8], ---R [1.21,0.1095325,0.10953247680961009,- 2.3190389913940734E-8], ---R [1.22,0.1079855,0.10798551115742314,1.1157423138175027E-8], ---R [1.23,0.10646269999999999,0.10646274550249626,4.5502496270888315E-8], ---R [1.24,0.10496369999999999,0.10496374425361385,4.4253613856737317E-8], ---R [1.25,0.1034881,0.10348808120280234,- 1.8797197659514708E-8], ---R [1.26,0.1020353,0.10203533927685385,3.9276853852632243E-8], ---R [1.27,0.1006051,0.10060511029696789,1.0296967889455999E-8], ---R [1.28,9.9196999999999994E-2,9.9196994746190731E-2,- 5.2538092626397415E-9], ---R [1.29,9.7810599999999998E-2,9.7810601544343179E-2,1.5443431811146269E-9], ---R [1.3,9.6445500000000003E-2,9.6445547830144779E-2,4.7830144775384831E-8], ---R ---R [1.3100000000000001, 9.5101500000000005E-2, 9.5101458750257717E-2, ---R - 4.1249742288584912E-8] ---R , ---R [1.3200000000000001,9.3778E-2,9.3777967254982664E-2,- 3.2745017336521798E-8] ---R , ---R ---R [1.3300000000000001, 9.2474700000000007E-2, 9.2474713900349198E-2, ---R 1.3900349191131589E-8] ---R , ---R ---R [1.3400000000000001, 9.1191300000000003E-2, 9.1191346656366773E-2, ---R 4.6656366770037039E-8] ---R , ---R ---R [1.3500000000000001, 8.9927499999999994E-2, 8.9927520721194559E-2, ---R 2.072119456575372E-8] ---R , ---R ---R [1.3600000000000001, 8.8682899999999995E-2, 8.8682898341016198E-2, ---R - 1.6589837975589106E-9] ---R , ---R ---R [1.3700000000000001, 8.7457099999999996E-2, 8.7457148635403298E-2, ---R 4.8635403301910962E-8] ---R , ---R ---R [1.3799999999999999, 8.6249900000000004E-2, 8.6249947427970763E-2, ---R 4.7427970759073013E-8] ---R , ---R ---R [1.3899999999999999, 8.5060999999999998E-2, 8.5060977082121597E-2, ---R - 2.2917878400585678E-8] ---R , ---R ---R [1.3999999999999999, 8.3889900000000003E-2, 8.3889926341705251E-2, ---R 2.6341705247623359E-8] ---R , ---R ---R [1.4099999999999999, 8.2736500000000004E-2, 8.2736490176409327E-2, ---R - 9.8235906770272052E-9] ---R , ---R ---R [1.4199999999999999, 8.1600400000000003E-2, 8.1600369631709052E-2, ---R - 3.0368290951376942E-8] ---R , ---R ---R [1.4299999999999999, 8.0481300000000006E-2, 8.0481271683224637E-2, ---R - 2.8316775368963931E-8] ---R , ---R ---R [1.4399999999999999, 7.9378900000000002E-2, 7.9378909095316863E-2, ---R 9.0953168607743606E-9] ---R , ---R [1.45,7.8293000000000001E-2,7.8293000283781833E-2,2.8378183136723578E-10], ---R [1.46,7.7223299999999995E-2,7.7223269182499166E-2,- 3.0817500829005695E-8], ---R [1.47,7.6169399999999998E-2,7.6169445113894313E-2,4.5113894314718905E-8], ---R [1.48,7.5131299999999998E-2,7.5131262663086618E-2,- 3.7336913380481285E-8], ---R [1.49,7.4108499999999994E-2,7.4108461555594529E-2,- 3.844440546463268E-8], ---R [1.5,7.3100799999999994E-2,7.3100786538480983E-2,- 1.3461519010604661E-8], ---R [1.51,7.2108000000000005E-2,7.2107987264816237E-2,- 1.2735183768652902E-8], ---R [1.52,7.1129800000000007E-2,7.1129818181354831E-2,1.8181354824453599E-8], ---R [1.53,7.0166000000000006E-2,7.0166038419312571E-2,3.8419312564652586E-8], ---R [1.54,6.9216399999999997E-2,6.9216411688142798E-2,1.168814280083641E-8], ---R [1.55,6.82807E-2,6.8280706172218819E-2,6.172218819378017E-9], ---R ---R [1.5600000000000001, 6.7358699999999994E-2, 6.735869443031553E-2, ---R - 5.5696844636354825E-9] ---R , ---R ---R [1.5700000000000001, 6.6450200000000001E-2, 6.6450153297810788E-2, ---R - 4.670218921309921E-8] ---R , ---R ---R [1.5800000000000001, 6.5554899999999999E-2, 6.5554863791512402E-2, ---R - 3.6208487597111372E-8] ---R , ---R ---R [1.5900000000000001, 6.4672599999999997E-2, 6.4672611017026815E-2, ---R 1.1017026818604947E-8] ---R , ---R ---R [1.6000000000000001, 6.3803200000000004E-2, 6.380318407859184E-2, ---R - 1.5921408164087936E-8] ---R , ---R [1.6100000000000001,6.29464E-2,6.2946375991286996E-2,- 2.400871300378693E-8] ---R , ---R ---R [1.6200000000000001, 6.2101999999999997E-2, 6.210198359555763E-2, ---R - 1.6404442367001781E-8] ---R , ---R ---R [1.6299999999999999, 6.1269799999999999E-2, 6.1269807473971261E-2, ---R 7.4739712613292042E-9] ---R , ---R ---R [1.6399999999999999, 6.0449700000000002E-2, 6.0449651870139426E-2, ---R - 4.8129860576173744E-8] ---R , ---R ---R [1.6499999999999999, 5.9641300000000001E-2, 5.9641324609737895E-2, ---R 2.460973789336629E-8] ---R , ---R ---R [1.6599999999999999, 5.8844599999999997E-2, 5.884463702356188E-2, ---R 3.702356188295397E-8] ---R , ---R ---R [1.6699999999999999, 5.8059399999999997E-2, 5.8059403872549598E-2, ---R 3.8725496004365922E-9] ---R , ---R [1.6799999999999999,5.72854E-2,5.7285443274719294E-2,4.3274719294106312E-8], ---R ---R [1.6899999999999999, 5.6522599999999999E-2, 5.6522576633957849E-2, ---R - 2.3366042149752797E-8] ---R , ---R [1.7,5.5770599999999997E-2,5.5770628570604719E-2,2.8570604722333304E-8], ---R [1.71,5.5029399999999999E-2,5.5029426853783953E-2,2.685378395345106E-8], ---R [1.72,5.4298800000000001E-2,5.4298802335420795E-2,2.3354207942527516E-9], ---R [1.73,5.3578599999999997E-2,5.3578588885902612E-2,- 1.1114097385467314E-8], ---R [1.74,5.2868600000000002E-2,5.2868623331333131E-2,2.3331333129372744E-8], ---R [1.75,5.2168699999999998E-2,5.2168745392327326E-2,4.539232732747589E-8], ---R [1.76,5.1478799999999998E-2,5.1478797624312636E-2,- 2.375687362110579E-9], ---R [1.77,5.0798599999999999E-2,5.0798625359279745E-2,2.5359279745562624E-8], ---R [1.78,5.0128100000000002E-2,5.0128076648957798E-2,- 2.3351042204022843E-8], ---R [1.79,4.9466999999999997E-2,4.9467002209351796E-2,2.209351798732051E-9], ---R [1.8,4.8815299999999999E-2,4.8815255366622776E-2,- 4.4633377223324278E-8], ---R ---R [1.8100000000000001, 4.8172699999999999E-2, 4.8172692004261553E-2, ---R - 7.995738446342493E-9] ---R , ---R ---R [1.8200000000000001, 4.7539199999999997E-2, 4.7539170511522538E-2, ---R - 2.9488477458483597E-8] ---R , ---R ---R [1.8300000000000001, 4.6914600000000001E-2, 4.691455173308047E-2, ---R - 4.8266919530637331E-8] ---R , ---R ---R 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0.14207629999999999, + 0.1420762844890415, + -1.551095848983941E-8], + [1.04, 0.14000679999999999, + 0.14000679617012995, + -3.8298700322236812E-9], + [1.05, 0.13797129999999999, + 0.13797129522994891, + -4.7700510763526438E-9], + [1.0600000000000001, 0.13596910000000001, + 0.13596912300504763, + 2.3005047616875274E-8] + [1.0700000000000001, 0.1339996, + 0.13399963656170108, + 3.6561701083348552E-8], + [1.0800000000000001, 0.13206219999999999, + 0.13206220822231926, + 8.2223192698904768E-9] + [1.0900000000000001, 0.1301562, + 0.13015622510971911, + 2.5109719109517314E-8], + [1.1000000000000001, 0.12828110000000001, + 0.12828108870843541, + -1.1291564600002246E-8] + [1.1100000000000001, 0.1264362, + 0.12643621444229519, + 1.4442295193095589E-8], + [1.1200000000000001, 0.124621, + 0.12462103126751783, + 3.1267517838773351E-8], + [1.1299999999999999, 0.122835, + 0.12283498128064541, + -1.871935459418772E-8], + [1.1399999999999999, 0.1210775, + 0.12107751934064451, + 1.934064450259676E-8], + [1.1499999999999999, 0.1193481, + 0.11934811270455489, + 1.270455489421618E-8], + [1.1599999999999999, 0.11764620000000001, + 0.11764624067609286, + 4.0676092855074231E-8] + [1.1699999999999999, 0.1159714, + 0.11597139426664799, + -5.7333520153690642E-9], + [1.1799999999999999, 0.1143231, + 0.11432307586814175, + -2.4131858247788962E-8], + [1.1899999999999999, 0.1127008, + 0.11270079893724061, + -1.0627593943768332E-9], + [1.2, 0.1111041, + 0.11110408769044711, + -1.2309552890887865E-8], + [1.21, 0.1095325, + 0.10953247680961009, + -2.3190389913940734E-8], + [1.22, 0.1079855, + 0.10798551115742314, + 1.1157423138175027E-8], + [1.23, 0.10646269999999999, + 0.10646274550249626, + 4.5502496270888315E-8], + [1.24, 0.10496369999999999, + 0.10496374425361385, + 4.4253613856737317E-8], + [1.25, 0.1034881, + 0.10348808120280234, + -1.8797197659514708E-8], + [1.26, 0.1020353, + 0.10203533927685385, + 3.9276853852632243E-8], + [1.27, 0.1006051, + 0.10060511029696789, + 1.0296967889455999E-8], + [1.28, 9.9196999999999994E-2, + 9.9196994746190731E-2, + -5.2538092626397415E-9], + [1.29, 9.7810599999999998E-2, + 9.7810601544343179E-2, + 1.5443431811146269E-9], + [1.3, 9.6445500000000003E-2, + 9.6445547830144779E-2, + 4.7830144775384831E-8], + [1.3100000000000001, 9.5101500000000005E-2, + 9.5101458750257717E-2, + -4.1249742288584912E-8] + [1.3200000000000001, 9.3778E-2, + 9.3777967254982664E-2, + -3.2745017336521798E-8] + [1.3300000000000001, 9.2474700000000007E-2, + 9.2474713900349198E-2, + 1.3900349191131589E-8] + [1.3400000000000001, 9.1191300000000003E-2, + 9.1191346656366773E-2, + 4.6656366770037039E-8] + [1.3500000000000001, 8.9927499999999994E-2, + 8.9927520721194559E-2, + 2.072119456575372E-8] + [1.3600000000000001, 8.8682899999999995E-2, + 8.8682898341016198E-2, + -1.6589837975589106E-9] + [1.3700000000000001, 8.7457099999999996E-2, + 8.7457148635403298E-2, + 4.8635403301910962E-8] + [1.3799999999999999, 8.6249900000000004E-2, + 8.6249947427970763E-2, + 4.7427970759073013E-8] + [1.3899999999999999, 8.5060999999999998E-2, + 8.5060977082121597E-2, + -2.2917878400585678E-8] + [1.3999999999999999, 8.3889900000000003E-2, + 8.3889926341705251E-2, + 2.6341705247623359E-8] + [1.4099999999999999, 8.2736500000000004E-2, + 8.2736490176409327E-2, + -9.8235906770272052E-9] + [1.4199999999999999, 8.1600400000000003E-2, + 8.1600369631709052E-2, + -3.0368290951376942E-8] + [1.4299999999999999, 8.0481300000000006E-2, + 8.0481271683224637E-2, + -2.8316775368963931E-8] + [1.4399999999999999, 7.9378900000000002E-2, + 7.9378909095316863E-2, + 9.0953168607743606E-9] + [1.45, 7.8293000000000001E-2, + 7.8293000283781833E-2, + 2.8378183136723578E-10], + [1.46, 7.7223299999999995E-2, + 7.7223269182499166E-2, + -3.0817500829005695E-8], + [1.47, 7.6169399999999998E-2, + 7.6169445113894313E-2, + 4.5113894314718905E-8], + [1.48, 7.5131299999999998E-2, + 7.5131262663086618E-2, + -3.7336913380481285E-8], + [1.49, 7.4108499999999994E-2, + 7.4108461555594529E-2, + -3.844440546463268E-8], + [1.5, 7.3100799999999994E-2, + 7.3100786538480983E-2, + -1.3461519010604661E-8], + [1.51, 7.2108000000000005E-2, + 7.2107987264816237E-2, + -1.2735183768652902E-8], + [1.52, 7.1129800000000007E-2, + 7.1129818181354831E-2, + 1.8181354824453599E-8], + [1.53, 7.0166000000000006E-2, + 7.0166038419312571E-2, + 3.8419312564652586E-8], + [1.54, 6.9216399999999997E-2, + 6.9216411688142798E-2, + 1.168814280083641E-8], + [1.55, 6.82807E-2, + 6.8280706172218819E-2, + 6.172218819378017E-9], + [1.5600000000000001, 6.7358699999999994E-2, + 6.735869443031553E-2, + -5.5696844636354825E-9] + [1.5700000000000001, 6.6450200000000001E-2, + 6.6450153297810788E-2, + -4.670218921309921E-8] + [1.5800000000000001, 6.5554899999999999E-2, + 6.5554863791512402E-2, + -3.6208487597111372E-8] + [1.5900000000000001, 6.4672599999999997E-2, + 6.4672611017026815E-2, + 1.1017026818604947E-8] + [1.6000000000000001, 6.3803200000000004E-2, + 6.380318407859184E-2, + -1.5921408164087936E-8] + [1.6100000000000001, 6.29464E-2, + 6.2946375991286996E-2, + -2.400871300378693E-8] + [1.6200000000000001, 6.2101999999999997E-2, + 6.210198359555763E-2, + -1.6404442367001781E-8] + [1.6299999999999999, 6.1269799999999999E-2, + 6.1269807473971261E-2, + 7.4739712613292042E-9] + [1.6399999999999999, 6.0449700000000002E-2, + 6.0449651870139426E-2, + -4.8129860576173744E-8] + [1.6499999999999999, 5.9641300000000001E-2, + 5.9641324609737895E-2, + 2.460973789336629E-8] + [1.6599999999999999, 5.8844599999999997E-2, + 5.884463702356188E-2, + 3.702356188295397E-8] + [1.6699999999999999, 5.8059399999999997E-2, + 5.8059403872549598E-2, + 3.8725496004365922E-9] + [1.6799999999999999, 5.72854E-2, + 5.7285443274719294E-2, + 4.3274719294106312E-8], + [1.6899999999999999, 5.6522599999999999E-2, + 5.6522576633957849E-2, + -2.3366042149752797E-8] + [1.7, 5.5770599999999997E-2, + 5.5770628570604719E-2, + 2.8570604722333304E-8], + [1.71, 5.5029399999999999E-2, + 5.5029426853783953E-2, + 2.685378395345106E-8], + [1.72, 5.4298800000000001E-2, + 5.4298802335420795E-2, + 2.3354207942527516E-9], + [1.73, 5.3578599999999997E-2, + 5.3578588885902612E-2, + -1.1114097385467314E-8], + [1.74, 5.2868600000000002E-2, + 5.2868623331333131E-2, + 2.3331333129372744E-8], + [1.75, 5.2168699999999998E-2, + 5.2168745392327326E-2, + 4.539232732747589E-8], + [1.76, 5.1478799999999998E-2, + 5.1478797624312636E-2, + -2.375687362110579E-9], + [1.77, 5.0798599999999999E-2, + 5.0798625359279745E-2, + 2.5359279745562624E-8], + [1.78, 5.0128100000000002E-2, + 5.0128076648957798E-2, + -2.3351042204022843E-8], + [1.79, 4.9466999999999997E-2, + 4.9467002209351796E-2, + 2.209351798732051E-9], + [1.8, 4.8815299999999999E-2, + 4.8815255366622776E-2, + -4.4633377223324278E-8], + [1.8100000000000001, 4.8172699999999999E-2, + 4.8172692004261553E-2, + -7.995738446342493E-9] + [1.8200000000000001, 4.7539199999999997E-2, + 4.7539170511522538E-2, + -2.9488477458483597E-8] + [1.8300000000000001, 4.6914600000000001E-2, + 4.691455173308047E-2, + -4.8266919530637331E-8] + [1.8400000000000001, 4.6298699999999998E-2, + 4.6298698919879575E-2, + -1.0801204236576822E-9] + [1.8500000000000001, 4.5691500000000003E-2, + 4.5691477681136752E-2, + -2.2318863250603282E-8] + [1.8600000000000001, 4.5092800000000002E-2, + 4.5092755937471779E-2, + -4.4062528223309805E-8] + [1.8700000000000001, 4.4502399999999998E-2, + 4.4502403875127772E-2, + 3.8751277742221646E-9] + [1.8799999999999999, 4.3920300000000002E-2, + 4.3920293901256249E-2, + -6.0987437530690691E-9] + [1.8899999999999999, 4.3346299999999997E-2, + 4.3346300600241791E-2, + 6.0024179376894082E-10] + [1.8999999999999999, 4.27803E-2, + 4.2780300691019318E-2, + 6.9101931815529483E-10] + [1.9099999999999999, 4.2222200000000001E-2, + 4.2222172985387205E-2, + -2.701461279674966E-8] + [1.9199999999999999, 4.1671800000000002E-2, + 4.1671798347258343E-2, + -1.6527416588085764E-9] + [1.9299999999999999, 4.1129100000000002E-2, + 4.1129059652846772E-2, + -4.0347153229536303E-8] + [1.9399999999999999, 4.0593799999999999E-2, + 4.0593841751750112E-2, + 4.1751750112783981E-8] + [1.95, 4.0065999999999997E-2, + 4.0066031428916418E-2, + 3.1428916420772612E-8], + [1.96, 3.9545499999999997E-2, + 3.9545517367460342E-2, + 1.7367460344863694E-8], + [1.97, 3.9032200000000003E-2, + 3.9032190112315068E-2, + -9.8876849347062645E-9], + [1.98, 3.8525900000000002E-2, + 3.8525942034688052E-2, + 4.2034688049752411E-8], + [1.99, 3.8026699999999997E-2, + 3.8026667297318961E-2, + -3.2702681035390313E-8], + [2., 3.75343E-2, + 3.7534261820490689E-2, + -3.817950931100933E-8]] + +\end{verbatim} + This table expresses the value of $E_3$ with an argument range of 0.01 to 2.00. + \begin{chunk}{*} + --S 4 of 7 +t4:List List Fraction Integer:=[[machineFraction (x::DFLOAT) for x in line]_ + for line in _ [[0.01,0.4902766,En(3,0.01),En(3,0.01)-0.4902766],_ [0.02,0.4809683,En(3,0.02),En(3,0.02)-0.4809683],_ [0.03,0.4719977,En(3,0.03),En(3,0.03)-0.4719977],_ @@ -986,542 +1692,1248 @@ $E_3$ with an argument range of 0.01 to 2.00. [1.97,0.0312817,En(3,1.97),En(3,1.97)-0.0312817],_ [1.98,0.0308939,En(3,1.98),En(3,1.98)-0.0308939],_ [1.99,0.0305112,En(3,1.99),En(3,1.99)-0.0305112],_ -[2.00,0.0301334,En(3,2.00),En(3,2.00)-0.0301334]] +[2.00,0.0301334,En(3,2.00),En(3,2.00)-0.0301334]]] --R --R --R (4) ---R [[1.0E-2,0.49027660000000001,0.49027656418466514,- 3.5815334864519599E-8], ---R [2.0E-2,0.48096830000000002,0.48096829147697201,- 8.5230280055803576E-9], ---R ---R [2.9999999999999999E-2, 0.47199770000000002, 0.47199768719683605, ---R - 1.2803163973451603E-8] ---R , ---R ---R [4.0000000000000001E-2, 0.46332390000000001, 0.46332394174433533, ---R 4.1744335321780568E-8] ---R , ---R ---R [5.0000000000000003E-2, 0.45491880000000001, 0.45491884974847663, ---R 4.9748476615985027E-8] ---R , ---R ---R [5.9999999999999998E-2, 0.44676090000000002, 0.44676088323725571, ---R - 1.6762744303733257E-8] ---R , ---R ---R [7.0000000000000007E-2, 0.43883270000000002, 0.43883267979789509, ---R - 2.0202104933364495E-8] ---R , ---R ---R [8.0000000000000002E-2, 0.43111969999999999, 0.43111973054612684, ---R 3.054612685016167E-8] ---R , ---R ---R [8.9999999999999997E-2, 0.42360959999999998, 0.42360960561704109, ---R 5.6170411100175954E-9] ---R , ---R ---R [0.10000000000000001, 0.41629149999999998, 0.41629145790827876, ---R - 4.2091721219605915E-8] ---R , ---R [0.11,0.40915570000000001,0.40915568570605237,- 1.4293947636634385E-8], ---R [0.12,0.40219369999999999,0.40219369277059286,- 7.2294071284950689E-9], ---R [0.13,0.39539770000000002,0.395397711576501,1.1576500980048365E-8], ---R ---R [0.14000000000000001, 0.38876070000000001, 0.38876066929878084, ---R - 3.0701219178030925E-8] ---R , ---R ---R [0.14999999999999999, 0.38227610000000001, 0.38227608377400268, ---R - 1.6225997323537911E-8] ---R , ---R [0.16,0.37593799999999999,0.37593798110903431,- 1.8890965680640193E-8], ---R ---R [0.17000000000000001, 0.36974079999999998, 0.36974082931670565, ---R 2.9316705674187205E-8] ---R , ---R ---R [0.17999999999999999, 0.36367949999999999, 0.36367948407235051, ---R - 1.5927649477109895E-8] ---R , ---R [0.19,0.35774909999999999,0.3577491438077095,4.3807709515508719E-8], ---R ---R [0.20000000000000001, 0.35194530000000002, 0.35194531211487057, ---R 1.2114870551194201E-8] ---R , ---R ---R [0.20999999999999999, 0.34626380000000001, 0.3462637659551443, ---R - 3.4044855712345168E-8] ---R , ---R [0.22,0.34070050000000002,0.34070052853638638,2.8536386365018984E-8], ---R ---R [0.23000000000000001, 0.33525179999999999, 0.33525184598756436, ---R 4.5987564367688805E-8] ---R , ---R ---R [0.23999999999999999, 0.32991419999999999, 0.32991416715361832, ---R - 3.2846381670115221E-8] ---R , ---R [0.25,0.32468409999999998,0.32468412597814367,2.5978143691762767E-8], ---R ---R [0.26000000000000001, 0.31955850000000002, 0.31955852605039498, ---R 2.6050394952292777E-8] ---R , ---R ---R [0.27000000000000002, 0.31453429999999999, 0.31453432697636552, ---R 2.6976365530284596E-8] ---R , ---R ---R [0.28000000000000003, 0.30960860000000001, 0.30960863229804725, ---R 3.2298047236700711E-8] ---R , ---R ---R [0.28999999999999998, 0.30477870000000001, 0.30477867873524889, ---R - 2.126475112662618E-8] ---R , ---R ---R [0.29999999999999999, 0.30004180000000003, 0.30004182656401435, ---R 2.6564014321550644E-8] ---R , ---R [0.31,0.29539559999999998,0.29539555097726167,- 4.9022738313198033E-8], ---R ---R [0.32000000000000001, 0.29083740000000002, 0.29083743429861525, ---R 3.4298615225747398E-8] ---R , ---R ---R [0.33000000000000002, 0.28636519999999999, 0.28636515894092018, ---R - 4.1059079802785448E-8] ---R , ---R ---R [0.34000000000000002, 0.28197650000000002, 0.28197650101764582, ---R 1.0176458009603095E-9] ---R , ---R ---R [0.34999999999999998, 0.27766930000000001, 0.27766932452910809, ---R 2.4529108078041872E-8] ---R , ---R ---R [0.35999999999999999, 0.27344160000000001, 0.27344157605676817, ---R - 2.3943231841627721E-8] ---R , ---R [0.37,0.26929130000000001,0.26929127990828022,- 2.0091719787895812E-8], ---R [0.38,0.26521650000000002,0.2652165336638212,3.3663821175089481E-8], ---R ---R [0.39000000000000001, 0.26121549999999999, 0.26121550408084138, ---R 4.0808413870330185E-9] ---R , ---R ---R [0.40000000000000002, 0.25728640000000003, 0.25728642331994478, ---R 2.3319944753019684E-8] ---R , ---R ---R [0.40999999999999998, 0.25342759999999998, 0.25342758545933575, ---R - 1.45406642282353E-8] ---R , ---R ---R [0.41999999999999998, 0.24963730000000001, 0.24963734326929157, ---R 4.3269291566394585E-8] ---R , ---R [0.42999999999999999,0.2459141,0.24591410522156262,5.2215626267226867E-9], ---R [0.44,0.24225630000000001,0.24225633271155758,3.2711557573783523E-8], ---R [0.45000000000000001,0.2386625,0.23866253747371868,3.7473718683678214E-8], ---R ---R [0.46000000000000002, 0.23513129999999999, 0.23513127917269516, ---R - 2.082730482522166E-8] ---R , ---R ---R [0.46999999999999997, 0.23166120000000001, 0.2316611631548362, ---R - 3.6845163808862935E-8] ---R , ---R [0.47999999999999998,0.2282508,0.22825083834619003,3.8346190028848426E-8], ---R ---R [0.48999999999999999, 0.22489899999999999, 0.22489899528465218, ---R - 4.7153478066608301E-9] ---R , ---R [0.5,0.22160440000000001,0.22160436427517846,- 3.572482154545753E-8], ---R [0.51000000000000001,0.2183657,0.21836571365810192,1.3658101927216393E-8], ---R ---R [0.52000000000000002, 0.21518180000000001, 0.21518184818157665, ---R 4.8181576645101032E-8] ---R , ---R ---R [0.53000000000000003, 0.21205160000000001, 0.21205160747004631, ---R 7.4700463037480347E-9] ---R , ---R ---R [0.54000000000000004, 0.20897389999999999, 0.20897386458140554, ---R - 3.541859444622375E-8] ---R , ---R ---R [0.55000000000000004, 0.20594750000000001, 0.20594752464620908, ---R 2.4646209073608816E-8] ---R , ---R [0.56000000000000005,0.2029715,0.20297152358289336,2.3582893360352131E-8], ---R ---R [0.56999999999999995, 0.20004479999999999, 0.20004482688351907, ---R 2.6883519077536278E-8] ---R , ---R ---R [0.57999999999999996, 0.19716639999999999, 0.19716642846502985, ---R 2.8465029860980096E-8] ---R , ---R ---R [0.58999999999999997, 0.19433529999999999, 0.19433534958145796, ---R 4.9581457967073916E-8] ---R , ---R ---R [0.59999999999999998, 0.19155059999999999, 0.19155063779289766, ---R 3.7792897672472847E-8] ---R , ---R ---R [0.60999999999999999, 0.18881139999999999, 0.18881136598742021, ---R - 3.4012579780418051E-8] ---R , ---R [0.62,0.18611659999999999,0.18611663145241836,3.1452418364219525E-8], ---R [0.63,0.18346560000000001,0.18346555499215655,- 4.5007843452182783E-8], ---R [0.64000000000000001,0.1808573,0.18085728008855939,- 1.9911440607423003E-8], ---R ---R [0.65000000000000002, 0.17829100000000001, 0.17829097210250539, ---R - 2.7897494619955054E-8] ---R , ---R [0.66000000000000003,0.1757658,0.17576581751310477,1.7513104771937904E-8], ---R ---R [0.67000000000000004, 0.17328099999999999, 0.17328102319263361, ---R 2.3192633619162351E-8] ---R , ---R ---R [0.68000000000000005, 0.17083580000000001, 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2.3319944753019684E-8] + [0.40999999999999998, 0.25342759999999998, + 0.25342758545933575, + -1.45406642282353E-8] + [0.41999999999999998, 0.24963730000000001, + 0.24963734326929157, + 4.3269291566394585E-8] + [0.42999999999999999, 0.2459141, + 0.24591410522156262, + 5.2215626267226867E-9] + [0.44, 0.24225630000000001, + 0.24225633271155758, + 3.2711557573783523E-8] + [0.45000000000000001, 0.2386625, + 0.23866253747371868, + 3.7473718683678214E-8] + [0.46000000000000002, 0.23513129999999999, + 0.23513127917269516, + -2.082730482522166E-8] + [0.46999999999999997, 0.23166120000000001, + 0.2316611631548362, + -3.6845163808862935E-8] + [0.47999999999999998, 0.2282508, + 0.22825083834619003, + 3.8346190028848426E-8] + [0.48999999999999999, 0.22489899999999999, + 0.22489899528465218, + -4.7153478066608301E-9] + [0.5, 0.22160440000000001, + 0.22160436427517846, + -3.572482154545753E-8] + [0.51000000000000001, 0.2183657, + 0.21836571365810192, + 1.3658101927216393E-8] + [0.52000000000000002, 0.21518180000000001, + 0.21518184818157665, + 4.8181576645101032E-8] + [0.53000000000000003, 0.21205160000000001, + 0.21205160747004631, + 7.4700463037480347E-9] + [0.54000000000000004, 0.20897389999999999, + 0.20897386458140554, + -3.541859444622375E-8] + [0.55000000000000004, 0.20594750000000001, + 0.20594752464620908, + 2.4646209073608816E-8] + [0.56000000000000005, 0.2029715, + 0.20297152358289336, + 2.3582893360352131E-8] + [0.56999999999999995, 0.20004479999999999, + 0.20004482688351907, + 2.6883519077536278E-8] + [0.57999999999999996, 0.19716639999999999, + 0.19716642846502985, + 2.8465029860980096E-8] + [0.58999999999999997, 0.19433529999999999, + 0.19433534958145796, + 4.9581457967073916E-8] + [0.59999999999999998, 0.19155059999999999, + 0.19155063779289766, + 3.7792897672472847E-8] + [0.60999999999999999, 0.18881139999999999, + 0.18881136598742021, + -3.4012579780418051E-8] + [0.62, 0.18611659999999999, + 0.18611663145241836, + 3.1452418364219525E-8] + [0.63, 0.18346560000000001, + 0.18346555499215655, + -4.5007843452182783E-8] + [0.64000000000000001, 0.1808573, + 0.18085728008855939, + -1.9911440607423003E-8] + [0.65000000000000002, 0.17829100000000001, + 0.17829097210250539, + -2.7897494619955054E-8] + [0.66000000000000003, 0.1757658, + 0.17576581751310477, + 1.7513104771937904E-8] + [0.67000000000000004, 0.17328099999999999, + 0.17328102319263361, + 2.3192633619162351E-8] + [0.68000000000000005, 0.17083580000000001, + 0.17083581571497, + 1.5714969991975636E-8] + [0.68999999999999995, 0.16842940000000001, + 0.16842944069553942, + 4.0695539410551262E-8] + [0.69999999999999996, 0.16606119999999999, + 0.16606116216092121, + -3.7839078786960911E-8] + [0.70999999999999996, 0.1637303, + 0.16373026194640114, + -3.8053598855336546E-8] + [0.71999999999999997, 0.161436, + 0.16143603911987703, + 3.9119877032200989E-8] + [0.72999999999999998, 0.15917780000000001, + 0.15917780943063548, + 9.4306354669893011E-9] + [0.73999999999999999, 0.15695490000000001, + 0.15695490478162077, + 4.7816207660034138E-9] + [0.75, 0.15476670000000001, + 0.15476667272391029, + -2.7276089720196239E-8] + [0.76000000000000001, 0.15261250000000001, + 0.15261247597219724, + -2.4027802775217211E-8] + [0.77000000000000002, 0.15049170000000001, + 0.15049169194016149, + -8.0598385188146437E-9] + [0.78000000000000003, 0.1484037, + 0.14840371229468169, + 1.2294681689395404E-8] + [0.79000000000000004, 0.1463479, + 0.14634794252791047, + 4.2527910470990804E-8] + [0.80000000000000004, 0.1443238, + 0.14432380154629593, + 1.5462959246370644E-9] + [0.81000000000000005, 0.1423307, + 0.14233072127569105, + 2.1275691042266232E-8] + [0.81999999999999995, 0.1403681, + 0.14036814628174568, + 4.628174568588328E-8] + [0.82999999999999996, 0.13843549999999999, + 0.13843553340482559, + 3.3404825600102939E-8] + [0.83999999999999997, 0.1365324, + 0.13653235140874825, + -4.8591251744500852E-8] + [0.84999999999999998, 0.1346581, + 0.13465808064266868, + -1.935733132119033E-8] + [0.85999999999999999, 0.13281219999999999, + 0.13281221271548668, + 1.2715486691350364E-8] + [0.87, 0.13099430000000001, + 0.1309942501821853, + -4.9817814706809571E-8] + [0.88, 0.1292037, + 0.12920370624154368, + 6.2415436707929928E-9] + [0.89000000000000001, 0.1274401, + 0.12744010444469844, + 4.4446984426294023E-9] + [0.90000000000000002, 0.12570300000000001, + 0.12570297841405975, + -2.1585940257473624E-8] + [0.91000000000000003, 0.1239919, + 0.12399187157211375, + -2.8427886253346024E-8] + [0.92000000000000004, 0.12230630000000001, + 0.12230633687966941, + 3.6879669401690407E-8] + [0.93000000000000005, 0.1206459, + 0.12064593658313376, + 3.6583133758427699E-8] + [0.93999999999999995, 0.1190102, + 0.1190102419704193, + 4.1970419306647244E-8] + [0.94999999999999996, 0.1173988, + 0.11739883313511031, + 3.3135110308335491E-8] + [0.95999999999999996, 0.11581130000000001, + 0.11581129874853491, + -1.2514650982176079E-9] + [0.96999999999999997, 0.11424719999999999, + 0.11424723583940669, + 3.5839406692383946E-8] + [0.97999999999999998, 0.1127063, + 0.11270624958071841, + -5.0419281583113928E-8] + [0.98999999999999999, 0.111188, + 0.11118795308358656, + -4.6916413434794357E-8] + [1., 0.109692, + 0.10969196719776014, + -3.2802239854912152E-8] + [1.01, 0.10821790000000001, + 0.10821792031852197, + 2.031852196215933E-8] + [1.02, 0.1067654, + 0.10676544819972504, + 4.8199725044550945E-8] + [1.03, 0.1053342, + 0.10533419377271731, + -6.2272826895082289E-9] + [1.04, 0.1039238, + 0.1039238069709225, + 6.9709225059000346E-9] + [1.05, 0.1025339, + 0.10253394455985448, + 4.455985448681421E-8] + [1.0600000000000001, 0.1011643, + 0.10116426997235345, + -3.0027646549801723E-8] + [1.0700000000000001, 9.98145E-2, + 9.9814453148843241E-2, + -4.6851156759730728E-8] + [1.0800000000000001, 9.8484199999999994E-2, + 9.8484170382417149E-2, + -2.9617582844587709E-8] + [1.0900000000000001, 9.7173099999999998E-2, + 9.7173104168569752E-2, + 4.1685697532711785E-9] + [1.1000000000000001, 9.5880900000000005E-2, + 9.58809430594003E-2, + 4.305940029536437E-8] + [1.1100000000000001, 9.4607399999999994E-2, + 9.4607381522120698E-2, + -1.8477879296097122E-8] + [1.1200000000000001, 9.3352099999999993E-2, + 9.3352119801709738E-2, + 1.9801709744138307E-8] + [1.1299999999999999, 9.21149E-2, + 9.2114863787561826E-2, + -3.6212438173088835E-8] + [1.1399999999999999, 9.0895299999999998E-2, + 9.0895324883984607E-2, + 2.4883984608981002E-8] + [1.1499999999999999, 8.9693200000000001E-2, + 8.969321988440758E-2, + 1.9884407578829588E-8] + [1.1599999999999999, 8.8508299999999998E-2, + 8.8508270849168805E-2, + -2.9150831193369697E-8] + [1.1699999999999999, 8.7340200000000007E-2, + 8.7340204986753447E-2, + 4.9867534407388447E-9] + [1.1799999999999999, 8.6188799999999996E-2, + 8.6188754538362E-2, + -4.5461637995791726E-8] + [1.1899999999999999, 8.5053699999999996E-2, + 8.505365666569388E-2, + -4.3334306115694332E-8] + [1.2, 8.3934700000000001E-2, 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7.1674199999999993E-2, + 7.1674192594636615E-2, + -7.4053633780657435E-9] + [1.3300000000000001, 7.0742899999999997E-2, + 7.0742945906179772E-2, + 4.5906179774179989E-8] + [1.3400000000000001, 6.9824600000000001E-2, + 6.9824632030397252E-2, + 3.203039725119261E-8] + [1.3500000000000001, 6.8919099999999997E-2, + 6.8919053836139416E-2, + -4.6163860581427407E-8] + [1.3600000000000001, 6.8026000000000003E-2, + 6.8026017604886913E-2, + 1.7604886909383666E-8] + [1.3700000000000001, 6.7145300000000005E-2, + 6.7145332961148871E-2, + 3.29611488658621E-8] + [1.3799999999999999, 6.6276799999999997E-2, + 6.6276812804578436E-2, + 1.2804578439218339E-8] + [1.3899999999999999, 6.5420300000000001E-2, + 6.5420273243759597E-2, + -2.6756240403824627E-8] + [1.3999999999999999, 6.4575499999999994E-2, + 6.457553353160958E-2, + 3.3531609586190392E-8] + [1.4099999999999999, 6.3742400000000005E-2, + 6.3742416002349978E-2, + 1.6002349972898955E-8] + [1.4199999999999999, 6.2920699999999996E-2, + 6.2920746010004802E-2, + 4.6010004806085192E-8] + [1.4299999999999999, 6.2110400000000003E-2, + 6.211035186837166E-2, + -4.8131628342662491E-8] + [1.4399999999999999, 6.13111E-2, + 6.1311064792432743E-2, + -3.5207567257444783E-8] + [1.45, 6.0522699999999999E-2, + 6.0522718841157001E-2, + 1.8841157002624787E-8] + [1.46, 5.9745199999999998E-2, + 5.9745150861655022E-2, + -4.9138344976329407E-8] + [1.47, 5.8978200000000001E-2, + 5.8978200434649602E-2, + 4.3464960103323236E-10] + [1.48, 5.8221700000000001E-2, + 5.8221709821222274E-2, + 9.8212222729432419E-9] + [1.49, 5.7475499999999999E-2, + 5.7475523910801435E-2, + 2.3910801436044515E-8] + [1.5, 5.6739499999999998E-2, + 5.6739490170354172E-2, + -9.8296458264646169E-9] + [1.51, 5.6013500000000001E-2, + 5.6013458594752839E-2, + -4.140524716145233E-8] + [1.52, 5.5297300000000001E-2, + 5.52972816582777E-2, + -1.8341722300696528E-8] + [1.53, 5.4590800000000002E-2, + 5.4590814267229414E-2, + 1.4267229411779603E-8] + [1.54, 5.3893900000000002E-2, + 5.3893913713619013E-2, + 1.3713619011201938E-8] + [1.55, 5.3206400000000001E-2, + 5.3206439629901937E-2, + 3.9629901936455436E-8] + [1.5600000000000001, 5.25283E-2, + 5.2528253944736245E-2, + -4.6055263755451215E-8] + [1.5700000000000001, 5.1859200000000001E-2, + 5.1859220839728763E-2, + 2.083972876210094E-8] + [1.5800000000000001, 5.11992E-2, + 5.1199206707146921E-2, + 6.7071469211921197E-9] + [1.5900000000000001, 5.0548099999999999E-2, + 5.0548080108570391E-2, + -1.9891429607621358E-8] + [1.6000000000000001, 4.9905699999999997E-2, + 4.9905711734454218E-2, + 1.1734454220813095E-8] + [1.6100000000000001, 4.9272000000000003E-2, + 4.9271974364586212E-2, + -2.5635413791746942E-8] + [1.6200000000000001, 4.8646700000000001E-2, + 4.8646742829405641E-2, + 4.2829405640099072E-8] + [1.6299999999999999, 4.80299E-2, + 4.8029893972168107E-2, + -6.0278318933515429E-9] + [1.6399999999999999, 4.74213E-2, + 4.7421306611931634E-2, + 6.6119316341484158E-9] + [1.6499999999999999, 4.6820899999999999E-2, + 4.6820861507343305E-2, + -3.8492656694033567E-8] + [1.6599999999999999, 4.6228400000000003E-2, + 4.622844132120392E-2, + 4.1321203916866445E-8] + [1.6699999999999999, 4.5643900000000001E-2, + 4.5643930585794489E-2, + 3.0585794487392182E-8] + [1.6799999999999999, 4.5067200000000002E-2, + 4.5067215668940779E-2, + 1.5668940776814022E-8] + [1.6899999999999999, 4.4498200000000002E-2, + 4.4498184740800251E-2, + -1.5259199750983221E-8] + [1.7, 4.3936700000000002E-2, + 4.3936727741353321E-2, + 2.7741353318677664E-8] + [1.71, 4.3382700000000003E-2, + 4.3382736348575771E-2, + 3.6348575767342073E-8] + [1.72, 4.2836100000000002E-2, + 4.283610394728473E-2, + 3.9472847282451262E-9] + [1.73, 4.22967E-2, + 4.229672559863315E-2, + 2.559863315071409E-8] + [1.74, 4.1764500000000003E-2, + 4.1764498010238606E-2, + -1.9897613973141048E-9] + [1.75, 4.12393E-2, + 4.1239319506936156E-2, + 1.9506936156654664E-8] + [1.76, 4.0721100000000003E-2, + 4.0721090002130152E-2, + -9.9978698514524567E-9] + [1.77, 4.0209700000000001E-2, + 4.0209710969742136E-2, + 1.0969742135491511E-8] + [1.78, 3.97051E-2, + 3.9705085416725308E-2, + -1.4583274692003823E-8] + [1.79, 3.9207100000000002E-2, + 3.920711785615049E-2, + 1.7856150488770872E-8] + [1.8, 3.8715699999999999E-2, + 3.8715714280832765E-2, + 1.4280832766333518E-8] + [1.8100000000000001, 3.8230800000000002E-2, + 3.8230782137495319E-2, + -1.7862504683718861E-8] + [1.8200000000000001, 3.77522E-2, + 3.7752230301454859E-2, + 3.0301454859160692E-8] + [1.8300000000000001, 3.7280000000000001E-2, + 3.7279969051817741E-2, + -3.0948182259959989E-8] + [1.8400000000000001, 3.6813899999999997E-2, + 3.6813910047171126E-2, + 1.0047171129790033E-8] + [1.8500000000000001, 3.6353999999999997E-2, + 3.6353966301762304E-2, + -3.3698237693335908E-8] + [1.8600000000000001, 3.5900099999999997E-2, + 3.5900052162149899E-2, + -4.7837850097876E-8] + [1.8700000000000001, 3.54521E-2, + 3.5452083284321229E-2, + -1.6715678771705988E-8] + [1.8799999999999999, 3.5009999999999999E-2, + 3.5009976611261075E-2, + -2.3388738924767782E-8] + [1.8899999999999999, 3.4573699999999999E-2, + 3.4573650350956942E-2, + -4.9649043057375941E-8] + [1.8999999999999999, 3.4143E-2, + 3.414302395484918E-2, + 2.3954849180662929E-8] + [1.9099999999999999, 3.3717999999999998E-2, + 3.3718018096686453E-2, + 1.8096686454915911E-8] + [1.9199999999999999, 3.3298599999999998E-2, + 3.3298554651807068E-2, + -4.5348192929950404E-8] + [1.9299999999999999, 3.28846E-2, + 3.2884556676814732E-2, + -4.3323185268395736E-8] + [1.9399999999999999, 3.2475900000000002E-2, + 3.2475948389653855E-2, + 4.8389653853342374E-8] + [1.95, 3.2072700000000003E-2, + 3.2072655150063287E-2, + -4.4849936715884997E-8] + [1.96, 3.1674599999999997E-2, + 3.167460344041137E-2, + 3.4404113724573193E-9] + [1.97, 3.1281700000000003E-2, + 3.1281720846895129E-2, + 2.0846895126824805E-8] + [1.98, 3.0893899999999998E-2, + 3.0893936041105241E-2, + 3.6041105242606841E-8] + [1.99, 3.0511199999999999E-2, + 3.0511178761929561E-2, + -2.1238070437717971E-8] + [2., 3.0133400000000001E-2, + 3.0133379797815663E-2, + -2.0202184338596885E-8] +\end{verbatim} + This table expresses the value of $E_4$ with an argument range of 0.01 to 2.00. + \begin{chunk}{*} + --S 5 of 7 +t5:List List Fraction Integer:=[[machineFraction (x::DFLOAT) for x in line]_ + for line in _ [[0.01,0.3283824,En(4,0.01),En(4,0.01)-0.3283824],_ [0.02,0.3235264,En(4,0.02),En(4,0.02)-0.3235264],_ [0.03,0.3187619,En(4,0.03),En(4,0.03)-0.3187619],_ @@ -1721,540 +3133,1263 @@ $E_4$ with an argument range of 0.01 to 2.00. [1.97,0.0259440,En(4,1.97),En(4,1.97)-0.0259440],_ [1.98,0.0256331,En(4,1.98),En(4,1.98)-0.0256331],_ [1.99,0.0253261,En(4,1.99),En(4,1.99)-0.0253261],_ -[2.00,0.0250228,En(4,2.00),En(4,2.00)-0.0250228]] +[2.00,0.0250228,En(4,2.00),En(4,2.00)-0.0250228]]] --R --R --R (5) ---R [[1.0E-2,0.32838240000000002,0.32838235603577381,- 4.3964226204007417E-8], ---R [2.0E-2,0.32352639999999999,0.32352643582573859,3.5825738597949908E-8], ---R ---R [2.9999999999999999E-2, 0.31876189999999999, 0.318761867644201, ---R - 3.2355798984529116E-8] ---R , ---R ---R [4.0000000000000001E-2, 0.31408550000000002, 0.3140854938275166, ---R - 6.1724834132803608E-9] ---R , ---R ---R [5.0000000000000003E-2, 0.30949450000000001, 0.30949449400443008, ---R - 5.9955699294178544E-9] ---R , ---R ---R [5.9999999999999998E-2, 0.30498629999999999, 0.30498629353000445, ---R - 6.4699955393265896E-9] ---R , ---R ---R [7.0000000000000007E-2, 0.30055850000000001, 0.30055851077336515, ---R 1.0773365144434166E-8] ---R , ---R [8.0000000000000002E-2,0.2962089,0.29620892264764853,2.2647648534324105E-8], ---R ---R [8.9999999999999997E-2, 0.29193540000000001, 0.29193544025523149, ---R 4.0255231481545195E-8] ---R , ---R ---R [0.10000000000000001, 0.28773609999999999, 0.28773609074837719, ---R - 9.2516228011874091E-9] ---R , ---R [0.11,0.283609,0.2836090032896208,3.2896207979860037E-9], ---R [0.12,0.27955239999999998,0.27955239786156211,- 2.1384378712241414E-9], ---R [0.13,0.27556459999999999,0.27556457613853869,- 2.3861461306839971E-8], ---R ---R [0.14000000000000001, 0.27164389999999999, 0.27164391389899217, ---R 1.3898992179406378E-8] ---R , ---R [0.14999999999999999,0.2677889,0.26778885461965246,- 4.5380347535317611E-8], ---R [0.16,0.26399790000000001,0.26399790399625528,3.9962552711436672E-9], ---R ---R [0.17000000000000001, 0.26026959999999999, 0.26026962520418123, ---R 2.5204181242077794E-8] ---R , ---R ---R [0.17999999999999999, 0.25660260000000001, 0.25660263475941625, ---R 3.4759416234209084E-8] ---R , ---R [0.19,0.25299559999999999,0.25299559887329914,- 1.1267008437343407E-9], ---R ---R [0.20000000000000001, 0.24944720000000001, 0.24944723021833587, ---R 3.021833586136502E-8] ---R , ---R ---R [0.20999999999999999, 0.24595629999999999, 0.24595628503986891, ---R - 1.496013107837868E-8] ---R , ---R [0.22,0.2425216,0.24252156056149116,- 3.9438508847577936E-8], ---R ---R [0.23000000000000001, 0.23914189999999999, 0.23914189264206476, ---R - 7.3579352333208448E-9] ---R , ---R [0.23999999999999999,0.2358162,0.235816153649895,- 4.6350105004089315E-8], ---R [0.25,0.23254320000000001,0.232543250525623,5.0525622991015595E-8], ---R [0.26000000000000001,0.2293221,0.22932212301015453,2.3010154531766247E-8], ---R ---R [0.27000000000000002, 0.22615170000000001, 0.22615174201774482, ---R 4.2017744811273516E-8] ---R , ---R ---R [0.28000000000000003, 0.22303110000000001, 0.22303110813742405, ---R 8.1374240401554943E-9] ---R , ---R [0.28999999999999998,0.2199593,0.21995925024844767,- 4.9751552322341297E-8], ---R ---R [0.29999999999999999, 0.21693519999999999, 0.2169352242375045, ---R 2.4237504503421547E-8] ---R , ---R [0.31,0.21395810000000001,0.21395811180711269,1.1807112676454068E-8], ---R ---R [0.32000000000000001, 0.21102699999999999, 0.21102701936604468, ---R 1.9366044684554495E-8] ---R , ---R [0.33000000000000002,0.2081411,0.20814107699380749,- 2.3006192506613843E-8], ---R ---R [0.34000000000000002, 0.20529939999999999, 0.20529943747220336, ---R 3.7472203368027479E-8] ---R , ---R [0.34999999999999998,0.2025013,0.20250127537784185,- 2.4622158145692907E-8], ---R [0.35999999999999999,0.1997458,0.19974578623019815,- 1.3769801854301988E-8], ---R [0.37,0.19703219999999999,0.19703218569043029,- 1.4309569695836188E-8], ---R [0.38,0.1943597,0.19435970880670123,8.8067012293802094E-9], ---R [0.39000000000000001,0.1917276,0.19172760930221217,9.3022121672170499E-9], ---R [0.40000000000000002,0.1891352,0.18913515890255378,- 4.1097446223936629E-8], ---R ---R [0.40999999999999998, 0.18658159999999999, 0.18658164669933056, ---R 4.6699330569222042E-8] ---R , ---R ---R [0.41999999999999998, 0.18406639999999999, 0.18406637854731811, ---R - 2.1452681880917979E-8] ---R , ---R ---R [0.42999999999999999, 0.18158869999999999, 0.18158867649268154, ---R - 2.3507318452908876E-8] ---R , ---R [0.44,0.1791479,0.17914787823001868,- 2.1769981317643072E-8], ---R ---R [0.45000000000000001, 0.17674329999999999, 0.17674333658619995, ---R 3.6586199958499321E-8] ---R , ---R ---R [0.46000000000000002, 0.17437440000000001, 0.17437441902916206, ---R 1.9029162051653614E-8] ---R , ---R ---R [0.46999999999999997, 0.17204050000000001, 0.17204050719997591, ---R 7.1999758932683733E-9] ---R , ---R [0.47999999999999998,0.169741,0.16974099646665652,- 3.5333434789119877E-9], ---R ---R [0.48999999999999999, 0.16747529999999999, 0.16747529549831219, ---R - 4.5016878003067973E-9] ---R , ---R [0.5,0.1652428,0.16524282585834804,2.5858348046137181E-8], ---R ---R [0.51000000000000001, 0.16304299999999999, 0.16304302161554463, ---R 2.161554463198101E-8] ---R , ---R [0.52000000000000002,0.1608753,0.16087532897192483,2.8971924831422413E-8], ---R [0.53000000000000003,0.1587392,0.15873920590641022,5.9064102220229842E-9], ---R [0.54000000000000004,0.1566341,0.15663412183334352,2.1833343522015269E-8], ---R ---R [0.55000000000000004, 0.15455959999999999, 0.15455955727502388, ---R - 4.2724976112573643E-8] ---R , ---R ---R [0.56000000000000005, 0.15251500000000001, 0.15251500354746483, ---R 3.5474648218958293E-9] ---R , ---R ---R [0.56999999999999995, 0.15049999999999999, 0.15049996245864372, ---R - 3.7541356273651516E-8] ---R , ---R [0.57999999999999996,0.1485139,0.14851394601856155,4.6018561544736158E-8], ---R ---R [0.58999999999999997, 0.14655650000000001, 0.14655647616048229, ---R - 2.3839517721002679E-8] ---R , ---R ---R [0.59999999999999998, 0.14462710000000001, 0.1446270844727626, ---R - 1.5527237412493733E-8] ---R , ---R [0.60999999999999999,0.1427253,0.14272531194072449,1.1940724492509602E-8], ---R [0.62,0.1408507,0.14085070869805835,8.6980583569040704E-9], ---R [0.63,0.13900280000000001,0.13900283378727951,3.3787279501984457E-8], ---R ---R [0.64000000000000001, 0.13718130000000001, 0.13718125492879019, ---R - 4.5071209819891322E-8] ---R , ---R ---R [0.65000000000000002, 0.13538549999999999, 0.13538554829812915, ---R 4.8298129162738235E-8] ---R , ---R ---R [0.66000000000000003, 0.13361529999999999, 0.13361529831101665, ---R - 1.688983342074124E-9] ---R , ---R ---R [0.67000000000000004, 0.13187009999999999, 0.13187009741582595, ---R - 2.5841740414200842E-9] ---R , ---R [0.68000000000000005,0.1301495,0.13014954589313665,4.5893136652042088E-8], ---R ---R [0.68999999999999995, 0.12845329999999999, 0.12845325166204447, ---R - 4.8337955527166798E-8] ---R , ---R [0.69999999999999996,0.1267808,0.12678083009292157,3.0092921571300835E-8], ---R ---R [0.70999999999999996, 0.12513189999999999, 0.1251319038263401, ---R 3.8263401058724611E-9] ---R , ---R ---R [0.71999999999999997, 0.12350609999999999, 0.12350610259788675, ---R 2.5978867529419247E-9] ---R , ---R [0.72999999999999998,0.1219031,0.12190306306861284,- 3.6931387156768913E-8], ---R [0.73999999999999999,0.1203224,0.12032242866087833,2.8660878337305462E-8], ---R [0.75,0.1187638,0.11876384939936065,4.9399360643742618E-8], ---R [0.76000000000000001,0.117227,0.1172269817570131,- 1.8242986898897584E-8], ---R ---R [0.77000000000000002, 0.11571149999999999, 0.1157114885057679, ---R - 1.1494232093900436E-8] ---R , ---R [0.78000000000000003,0.114217,0.11421703857179058,3.8571790580976817E-8], ---R [0.79000000000000004,0.1127433,0.11274330689510217,6.895102169779399E-9], ---R [0.80000000000000004,0.11129,0.11128997429339493,- 2.570660506684419E-8], ---R [0.81000000000000005,0.1098567,0.10985672732987711,2.7329877111403889E-8], ---R ---R [0.81999999999999995, 0.10844330000000001, 0.10844325818498929, ---R - 4.1815010717871637E-8] ---R , ---R [0.82999999999999996,0.1070493,0.10704926453184345,- 3.5468156550644281E-8], ---R [0.83999999999999997,0.1056744,0.10567444941524373,4.9415243730255298E-8], ---R ---R [0.84999999999999998, 0.10431849999999999, 0.10431852113415277, ---R 2.1134152775048598E-8] ---R , ---R ---R [0.85999999999999999, 0.10298119999999999, 0.10298119312747675, ---R - 6.8725232449384777E-9] ---R , ---R [0.87,0.10166219999999999,0.10166218386304593,- 1.6136954064660536E-8], ---R [0.88,0.1003612,0.10036121672967431,1.6729674312543352E-8], ---R ---R [0.89000000000000001, 9.9077999999999999E-2, 9.9078019932187969E-2, ---R 1.9932187969584625E-8] ---R , ---R ---R [0.90000000000000002, 9.7812300000000005E-2, 9.7812326389315099E-2, ---R 2.6389315094244026E-8] ---R , ---R ---R [0.91000000000000003, 9.6563899999999994E-2, 9.6563873634337494E-2, ---R - 2.6365662500471565E-8] ---R , ---R ---R [0.92000000000000004, 9.5332399999999998E-2, 9.5332403718406081E-2, ---R 3.7184060830419696E-9] ---R , ---R ---R [0.93000000000000005, 9.4117699999999999E-2, 9.4117663116428885E-2, ---R - 3.6883571113976998E-8] ---R , ---R ---R [0.93999999999999995, 9.2919399999999999E-2, 9.2919402635442322E-2, ---R 2.6354423227070711E-9] ---R , ---R ---R [0.94999999999999996, 9.1737399999999997E-2, 9.1737377325382147E-2, ---R - 2.2674617849993695E-8] ---R , ---R ---R [0.95999999999999996, 9.0571299999999993E-2, 9.0571346392172847E-2, ---R 4.6392172853293445E-8] ---R , ---R ---R [0.96999999999999997, 8.9421100000000003E-2, 8.9421073113058108E-2, ---R - 2.6886941895121197E-8] ---R , ---R ---R [0.97999999999999998, 8.8286299999999998E-2, 8.8286324754098505E-2, ---R 2.4754098507107081E-8] ---R , ---R ---R [0.98999999999999999, 8.7166900000000005E-2, 8.7166872489765013E-2, ---R - 2.7510234992811355E-8] ---R , ---R [1.,8.60625E-2,8.606249132456073E-2,- 8.6754392697452332E-9], ---R [1.01,8.4973000000000007E-2,8.497296001660537E-2,- 3.9983394636844416E-8], ---R [1.02,8.3898100000000003E-2,8.3898061003119584E-2,- 3.8996880419306379E-8], ---R [1.03,8.2837599999999997E-2,8.2837580327749516E-2,- 1.967225048138399E-8], ---R [1.04,8.1791299999999997E-2,8.179130756967358E-2,7.5696735823971295E-9], ---R [1.05,8.0758999999999997E-2,8.0759035774436022E-2,3.5774436024649248E-8], ---R ---R [1.0600000000000001, 7.9740599999999995E-2, 7.9740561386454245E-2, ---R - 3.8613545749743849E-8] ---R , ---R ---R [1.0700000000000001, 7.8735700000000006E-2, 7.8735684183148108E-2, ---R - 1.5816851897665352E-8] ---R , ---R ---R [1.0800000000000001, 7.7744199999999999E-2, 7.774420721064286E-2, ---R 7.2106428605778206E-9] ---R , ---R ---R [1.0900000000000001, 7.6765899999999998E-2, 7.6765936720997435E-2, ---R 3.6720997437234004E-8] ---R , ---R ---R [1.1000000000000001, 7.5800699999999999E-2, 7.5800682110913065E-2, ---R - 1.7889086934008702E-8] ---R , ---R ---R [1.1100000000000001, 7.4848300000000006E-2, 7.4848255861878349E-2, ---R - 4.4138121657599783E-8] ---R , ---R ---R [1.1200000000000001, 7.3908500000000002E-2, 7.3908473481708176E-2, ---R - 2.6518291826316265E-8] ---R , ---R ---R [1.1299999999999999, 7.2981199999999996E-2, 7.2981153447436026E-2, ---R - 4.6552563970347904E-8] ---R , ---R ---R [1.1399999999999999, 7.2066099999999994E-2, 7.2066117149520492E-2, ---R 1.7149520498138671E-8] ---R , ---R ---R [1.1499999999999999, 7.1163199999999996E-2, 7.1163188837328195E-2, ---R - 1.1162671800790669E-8] ---R , ---R ---R [1.1599999999999999, 7.0272200000000007E-2, 7.027219556585651E-2, ---R - 4.4341434968231397E-9] ---R , ---R ---R [1.1699999999999999, 6.9392999999999996E-2, 6.9392967143661166E-2, ---R - 3.2856338830211662E-8] ---R , ---R ---R [1.1799999999999999, 6.8525299999999997E-2, 6.8525336081954685E-2, ---R 3.6081954687960938E-8] ---R , ---R ---R [1.1899999999999999, 6.7669099999999996E-2, 6.7669137544842786E-2, ---R 3.7544842790282473E-8] ---R , ---R [1.2,6.68242E-2,6.6824209300667584E-2,9.300667583311828E-9], ---R [1.21,6.5990400000000005E-2,6.5990391674426857E-2,- 8.3255731475606609E-9], ---R [1.22,6.5167500000000003E-2,6.5167527501239941E-2,2.7501239938110267E-8], ---R [1.23,6.4355499999999996E-2,6.4355462080831385E-2,- 3.7919168610622833E-8], ---R [1.24,6.3553999999999999E-2,6.3554043133005847E-2,4.313300584757318E-8], ---R [1.25,6.2763100000000002E-2,6.2763120754086868E-2,2.0754086865748533E-8], ---R [1.26,6.1982500000000003E-2,6.1982547374293873E-2,4.7374293869750783E-8], ---R [1.27,6.1212200000000001E-2,6.1212177716032781E-2,- 2.2283967220093626E-8], ---R [1.28,6.0451900000000003E-2,6.0451868753076454E-2,- 3.124692354861125E-8], ---R [1.29,5.9701499999999998E-2,5.9701479670610937E-2,- 2.0329389061046754E-8], ---R [1.3,5.8960899999999997E-2,5.8960871826125583E-2,- 2.8173874414005873E-8], ---R ---R [1.3100000000000001, 5.8229900000000001E-2, 5.822990871112519E-2, ---R 8.7111251892424413E-9] ---R , ---R ---R [1.3200000000000001, 5.7508499999999997E-2, 5.7508455913643328E-2, ---R - 4.4086356669470472E-8] ---R , ---R ---R [1.3300000000000001, 5.6796399999999997E-2, 5.6796381081534952E-2, ---R - 1.8918465044537314E-8] ---R , ---R ---R [1.3400000000000001, 5.60936E-2, 5.6093553886531214E-2, ---R - 4.6113468786523892E-8] ---R , ---R ---R [1.3500000000000001, 5.5399799999999999E-2, 5.5399845989034427E-2, ---R 4.5989034427873499E-8] ---R , ---R ---R [1.3600000000000001, 5.4715100000000003E-2, 5.4715131003636563E-2, ---R 3.1003636560833492E-8] ---R , ---R ---R [1.3700000000000001, 5.4039299999999998E-2, 5.4039284465342098E-2, ---R - 1.5534657900329041E-8] ---R , ---R ---R [1.3799999999999999, 5.3372200000000002E-2, 5.3372183796479428E-2, ---R - 1.6203520573909724E-8] ---R , ---R ---R [1.3899999999999999, 5.2713700000000002E-2, 5.2713708274280791E-2, ---R 8.2742807883118275E-9] ---R , ---R ---R [1.3999999999999999, 5.2063699999999997E-2, 5.206373899911769E-2, ---R 3.8999117692173346E-8] ---R , ---R ---R [1.4099999999999999, 5.1422200000000001E-2, 5.1422158863374548E-2, ---R - 4.1136625453241926E-8] ---R , ---R ---R [1.4199999999999999, 5.0788899999999998E-2, 5.0788852520943208E-2, ---R - 4.7479056790311613E-8] ---R , ---R ---R [1.4299999999999999, 5.0163699999999999E-2, 5.0163706357327698E-2, ---R 6.357327698991444E-9] ---R , ---R ---R [1.4399999999999999, 4.9546600000000003E-2, 4.9546608460339536E-2, ---R 8.4603395331117603E-9] ---R , ---R [1.45,4.8937399999999999E-2,4.8937448591373334E-2,4.859137333473873E-8], ---R [1.46,4.83361E-2,4.833611815724749E-2,1.8157247490269146E-8], ---R [1.47,4.77425E-2,4.7742510182596301E-2,1.0182596300867264E-8], ---R [1.48,4.7156499999999997E-2,4.7156519282801249E-2,1.9282801251574444E-8], ---R [1.49,4.6578000000000001E-2,4.6578041637448199E-2,4.1637448197628935E-8], ---R [1.5,4.6006999999999999E-2,4.6006974964299521E-2,- 2.503570047801551E-8], ---R [1.51,4.5443200000000003E-2,4.5443218493767132E-2,1.8493767128813232E-8], ---R [1.52,4.4886700000000002E-2,4.4886672943877548E-2,- 2.7056122453572584E-8], ---R [1.53,4.43372E-2,4.4337240495715358E-2,4.0495715357413697E-8], ---R 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[1.0600000000000001, 7.9740599999999995E-2, + 7.9740561386454245E-2, + -3.8613545749743849E-8] + [1.0700000000000001, 7.8735700000000006E-2, + 7.8735684183148108E-2, + -1.5816851897665352E-8] + [1.0800000000000001, 7.7744199999999999E-2, + 7.774420721064286E-2, + 7.2106428605778206E-9] + [1.0900000000000001, 7.6765899999999998E-2, + 7.6765936720997435E-2, + 3.6720997437234004E-8] + [1.1000000000000001, 7.5800699999999999E-2, + 7.5800682110913065E-2, + -1.7889086934008702E-8] + [1.1100000000000001, 7.4848300000000006E-2, + 7.4848255861878349E-2, + -4.4138121657599783E-8] + [1.1200000000000001, 7.3908500000000002E-2, + 7.3908473481708176E-2, + -2.6518291826316265E-8] + [1.1299999999999999, 7.2981199999999996E-2, + 7.2981153447436026E-2, + -4.6552563970347904E-8] + [1.1399999999999999, 7.2066099999999994E-2, + 7.2066117149520492E-2, + 1.7149520498138671E-8] + [1.1499999999999999, 7.1163199999999996E-2, + 7.1163188837328195E-2, + -1.1162671800790669E-8] + [1.1599999999999999, 7.0272200000000007E-2, + 7.027219556585651E-2, + -4.4341434968231397E-9] + [1.1699999999999999, 6.9392999999999996E-2, + 6.9392967143661166E-2, + -3.2856338830211662E-8] + [1.1799999999999999, 6.8525299999999997E-2, + 6.8525336081954685E-2, + 3.6081954687960938E-8] + [1.1899999999999999, 6.7669099999999996E-2, + 6.7669137544842786E-2, + 3.7544842790282473E-8] + [1.2, 6.68242E-2, + 6.6824209300667584E-2, + 9.300667583311828E-9] + [1.21, 6.5990400000000005E-2, + 6.5990391674426857E-2, + -8.3255731475606609E-9] + [1.22, 6.5167500000000003E-2, + 6.5167527501239941E-2, + 2.7501239938110267E-8] + [1.23, 6.4355499999999996E-2, + 6.4355462080831385E-2, + -3.7919168610622833E-8] + [1.24, 6.3553999999999999E-2, + 6.3554043133005847E-2, + 4.313300584757318E-8] + [1.25, 6.2763100000000002E-2, + 6.2763120754086868E-2, + 2.0754086865748533E-8] + [1.26, 6.1982500000000003E-2, + 6.1982547374293873E-2, + 4.7374293869750783E-8] + [1.27, 6.1212200000000001E-2, + 6.1212177716032781E-2, + -2.2283967220093626E-8] + [1.28, 6.0451900000000003E-2, + 6.0451868753076454E-2, + -3.124692354861125E-8] + [1.29, 5.9701499999999998E-2, + 5.9701479670610937E-2, + -2.0329389061046754E-8] + [1.3, 5.8960899999999997E-2, + 5.8960871826125583E-2, + -2.8173874414005873E-8] + [1.3100000000000001, 5.8229900000000001E-2, + 5.822990871112519E-2, + 8.7111251892424413E-9] + [1.3200000000000001, 5.7508499999999997E-2, + 5.7508455913643328E-2, + -4.4086356669470472E-8] + [1.3300000000000001, 5.6796399999999997E-2, + 5.6796381081534952E-2, + -1.8918465044537314E-8] + [1.3400000000000001, 5.60936E-2, + 5.6093553886531214E-2, + -4.6113468786523892E-8] + [1.3500000000000001, 5.5399799999999999E-2, + 5.5399845989034427E-2, + 4.5989034427873499E-8] + [1.3600000000000001, 5.4715100000000003E-2, + 5.4715131003636563E-2, + 3.1003636560833492E-8] + [1.3700000000000001, 5.4039299999999998E-2, + 5.4039284465342098E-2, + -1.5534657900329041E-8] + [1.3799999999999999, 5.3372200000000002E-2, + 5.3372183796479428E-2, + -1.6203520573909724E-8] + [1.3899999999999999, 5.2713700000000002E-2, + 5.2713708274280791E-2, + 8.2742807883118275E-9] + [1.3999999999999999, 5.2063699999999997E-2, + 5.206373899911769E-2, + 3.8999117692173346E-8] + [1.4099999999999999, 5.1422200000000001E-2, + 5.1422158863374548E-2, + -4.1136625453241926E-8] + [1.4199999999999999, 5.0788899999999998E-2, + 5.0788852520943208E-2, + -4.7479056790311613E-8] + [1.4299999999999999, 5.0163699999999999E-2, + 5.0163706357327698E-2, + 6.357327698991444E-9] + [1.4399999999999999, 4.9546600000000003E-2, + 4.9546608460339536E-2, + 8.4603395331117603E-9] + [1.45, 4.8937399999999999E-2, + 4.8937448591373334E-2, + 4.859137333473873E-8] + [1.46, 4.83361E-2, + 4.833611815724749E-2, + 1.8157247490269146E-8] + [1.47, 4.77425E-2, + 4.7742510182596301E-2, + 1.0182596300867264E-8] + [1.48, 4.7156499999999997E-2, + 4.7156519282801249E-2, + 1.9282801251574444E-8] + [1.49, 4.6578000000000001E-2, + 4.6578041637448199E-2, + 4.1637448197628935E-8] + [1.5, 4.6006999999999999E-2, + 4.6006974964299521E-2, + -2.503570047801551E-8] + [1.51, 4.5443200000000003E-2, + 4.5443218493767132E-2, + 1.8493767128813232E-8] + [1.52, 4.4886700000000002E-2, + 4.4886672943877548E-2, + -2.7056122453572584E-8] + [1.53, 4.43372E-2, + 4.4337240495715358E-2, + 4.0495715357413697E-8] + [1.54, 4.3794800000000002E-2, + 4.3794824769334884E-2, + 2.4769334881769023E-8] + [1.55, 4.3259300000000001E-2, + 4.3259330800131675E-2, + 3.0800131674280085E-8] + [1.5600000000000001, 4.2730700000000003E-2, + 4.2730665015658725E-2, + -3.4984341278077036E-8] + [1.5700000000000001, 4.2208700000000002E-2, + 4.2208735212882098E-2, + 3.5212882096291587E-8] + [1.5800000000000001, 4.1693500000000001E-2, + 4.1693450535863763E-2, + -4.9464136238352996E-8] + [1.5900000000000001, 4.1184699999999998E-2, + 4.1184721453862164E-2, + 2.1453862165954352E-8] + [1.6000000000000001, 4.0682500000000003E-2, + 4.0682459739842872E-2, + -4.0260157131710717E-8] + [1.6100000000000001, 4.0186600000000003E-2, + 4.0186578449386889E-2, + -2.1550613113485717E-8] + [1.6200000000000001, 3.9697000000000003E-2, + 3.9696991899992498E-2, + -8.1000075050075004E-9] + [1.6299999999999999, 3.9213600000000001E-2, + 3.9213615650758454E-2, + 1.5650758453111813E-8] + [1.6399999999999999, 3.8736399999999997E-2, + 3.8736366482441345E-2, + -3.3517558652162993E-8] + [1.6499999999999999, 3.8265199999999999E-2, + 3.8265162377879226E-2, + -3.7622120772906609E-8] + [1.6599999999999999, 3.7799899999999997E-2, + 3.7799922502774017E-2, + 2.2502774019161897E-8] + [1.6699999999999999, 3.7340600000000002E-2, + 3.7340567186823333E-2, + -3.2813176668866628E-8] + [1.6799999999999999, 3.6887000000000003E-2, + 3.6887017905196488E-2, + 1.7905196485201724E-8] + [1.6899999999999999, 3.6439199999999998E-2, + 3.6439197260345613E-2, + -2.7396543852975519E-9] + [1.7, 3.5997000000000001E-2, + 3.5997028964144667E-2, + 2.8964144666021596E-8] + [1.71, 3.5560399999999999E-2, + 3.5560437820352508E-2, + 3.7820352509487787E-8] + [1.72, 3.5129300000000002E-2, + 3.5129349707387826E-2, + 4.9707387823894056E-8] + [1.73, 3.4703699999999997E-2, + 3.4703691561414153E-2, + -8.4385858439839367E-9] + [1.74, 3.4283399999999999E-2, + 3.4283391359727231E-2, + -8.6402727680900959E-9] + [1.75, 3.38684E-2, + 3.3868378104435617E-2, + -2.1895564382423682E-8] + [1.76, 3.3458599999999998E-2, + 3.3458581806433824E-2, + -1.8193566174440345E-8] + [1.77, 3.3053899999999997E-2, + 3.3053933469655281E-2, + 3.3469655283391297E-8] + [1.78, 3.26544E-2, + 3.2654365075608149E-2, + -3.4924391850710279E-8] + [1.79, 3.2259799999999998E-2, + 3.2259809568177103E-2, + 9.5681771047906317E-9] + [1.8, 3.1870200000000001E-2, + 3.187020083869585E-2, + 8.3869584888152104E-10] + [1.8100000000000001, 3.14855E-2, + 3.1485473711279174E-2, + -2.628872082521827E-8] + [1.8200000000000001, 3.1105600000000001E-2, + 3.1105563928410965E-2, + -3.6071589035180374E-8] + [1.8300000000000001, 3.0730400000000001E-2, + 3.073040813678209E-2, + 8.1367820883859743E-9] + [1.8400000000000001, 3.0359899999999999E-2, + 3.0359943873375265E-2, + 4.387337526612356E-8] + [1.8500000000000001, 2.9994099999999999E-2, + 2.9994109551789112E-2, + 9.5517891131324806E-9] + [1.8600000000000001, 2.9632800000000001E-2, + 2.9632844448799496E-2, + 4.4448799495222513E-8] + [1.8700000000000001, 2.9276099999999999E-2, + 2.9276088691150233E-2, + -1.1308849766356044E-8] + [1.8799999999999999, 2.89238E-2, + 2.8923783242571027E-2, + -1.6757428972224986E-8] + [1.8899999999999999, 2.8575900000000001E-2, + 2.8575869891020747E-2, + -3.0108979254261925E-8] + [1.8999999999999999, 2.8232299999999998E-2, + 2.8232291236140537E-2, + -8.7638594610528475E-9] + [1.9099999999999999, 2.7893000000000001E-2, + 2.7892990676930449E-2, + -9.3230695524804119E-9] + [1.9199999999999999, 2.75579E-2, + 2.7557912399626863E-2, + 1.2399626863474067E-8] + [1.9299999999999999, 2.7227000000000001E-2, + 2.7227001365790433E-2, + 1.3657904321395797E-9] + [1.9399999999999999, 2.6900199999999999E-2, + 2.6900203300591483E-2, + 3.300591484151072E-9] + [1.95, 2.65775E-2, + 2.6577464681296726E-2, + -3.5318703274500596E-8] + [1.96, 2.6258699999999999E-2, + 2.6258732725946241E-2, + 3.2725946241124459E-8] + [1.97, 2.5943999999999998E-2, + 2.5943955382222512E-2, + -4.4617777486544163E-8] + [1.98, 2.5633099999999999E-2, + 2.5633081316501483E-2, + -1.8683498515664754E-8] + [1.99, 2.5326100000000001E-2, + 2.5326059903094673E-2, + -4.0096905327274834E-8] + [2., 2.5022800000000001E-2, + 2.5022841213660458E-2, + 4.1213660456618229E-8] +\end{verbatim} + This table expresses the value of $E_10$ with an argument range of 0.01 to 2.00. + \begin{chunk}{*} + --S 6 of 7 +t6:List List Fraction Integer:=[[machineFraction (x::DFLOAT) for x in line]_ + for line in _ [[0.01,0.1098682,En(10,0.01),En(10,0.01)-0.1098682],_ [0.02,0.1086395,En(10,0.02),En(10,0.02)-0.1086395],_ [0.03,0.1074246,En(10,0.03),En(10,0.03)-0.1074246],_ @@ -2454,567 +4589,1366 @@ $E_10$ with an argument range of 0.01 to 2.00. [1.97,0.0124964,En(10,1.97),En(10,1.97)-0.0124964],_ [1.98,0.0123601,En(10,1.98),En(10,1.98)-0.0123601],_ [1.99,0.0122254,En(10,1.99),En(10,1.99)-0.0122254],_ -[2.00,0.0120921,En(10,2.00),En(10,2.00)-0.0120921]] +[2.00,0.0120921,En(10,2.00),En(10,2.00)-0.0120921]]] --R --R --R (6) ---R [[1.0E-2,0.1098682,0.10986822627360165,2.6273601655413259E-8], ---R [2.0E-2,0.1086395,0.10863946164415648,- 3.8355843515192056E-8], ---R [2.9999999999999999E-2,0.1074246,0.10742465352510716,5.3525107165941499E-8], ---R [4.0000000000000001E-2,0.1062236,0.10622364016949924,4.016949924079416E-8], ---R ---R [5.0000000000000003E-2, 0.1050363, 0.10503626175690921, ---R - 3.8243090791367784E-8] ---R , ---R ---R [5.9999999999999998E-2, 0.10386239999999999, 0.10386236036958028, ---R - 3.9630419709779652E-8] ---R , ---R [7.0000000000000007E-2,0.1027018,0.1027017799688722,- 2.0031127798136872E-8] ---R , ---R [8.0000000000000002E-2,0.1015544,0.1015543663720207,- 3.3627979303951783E-8] ---R , ---R [8.9999999999999997E-2,0.10042,0.1004199672292018,- 3.2770798200076889E-8], ---R ---R [0.10000000000000001, 9.9298399999999995E-2, 9.9298432000896802E-2, ---R 3.2000896807438117E-8] ---R , ---R [0.11,9.8189600000000002E-2,9.8189611935553478E-2,1.1935553476116745E-8], ---R [0.12,9.7093399999999996E-2,9.7093360047539198E-2,- 3.9952460798020617E-8], ---R [0.13,9.6009499999999998E-2,9.6009531095381809E-2,3.109538181111926E-8], ---R ---R [0.14000000000000001, 9.4937999999999995E-2, 9.4937981560294218E-2, ---R - 1.8439705776196469E-8] ---R , ---R ---R [0.14999999999999999, 9.3878600000000006E-2, 9.3878569624978384E-2, ---R - 3.037502162295258E-8] ---R , ---R [0.16,9.2831200000000003E-2,9.2831155152705111E-2,- 4.4847294891625644E-8], ---R ---R [0.17000000000000001, 9.1795600000000005E-2, 9.1795599666665256E-2, ---R - 3.3333474869223778E-10] ---R , ---R ---R [0.17999999999999999, 9.07718E-2, 9.0771766329588957E-2, ---R - 3.3670411042630022E-8] ---R , ---R [0.19,8.9759500000000006E-2,8.9759519923628739E-2,1.9923628732931853E-8], ---R ---R [0.20000000000000001, 8.8758699999999996E-2, 8.8758726830502982E-2, ---R 2.6830502986019411E-8] ---R , ---R ---R [0.20999999999999999, 8.7769299999999995E-2, 8.7769255011895919E-2, ---R - 4.4988104075383006E-8] ---R , ---R [0.22,8.6790999999999993E-2,8.6790973990110751E-2,- 2.6009889242395445E-8], ---R ---R [0.23000000000000001, 8.5823800000000006E-2, 8.5823754828972157E-2, ---R - 4.5171027848733836E-8] ---R , ---R ---R [0.23999999999999999, 8.4867499999999998E-2, 8.4867470114974794E-2, ---R - 2.9885025204512417E-8] ---R , ---R [0.25,8.3921999999999997E-2,8.3921993938674291E-2,- 6.0613257052422043E-9], ---R ---R [0.26000000000000001, 8.2987199999999997E-2, 8.2987201876317501E-2, ---R 1.8763175041458524E-9] ---R , ---R ---R [0.27000000000000002, 8.2062999999999997E-2, 8.2062970971708463E-2, ---R - 2.9028291534394235E-8] ---R , ---R ---R [0.28000000000000003, 8.1149200000000005E-2, 8.1149179718306999E-2, ---R - 2.0281693005608226E-8] ---R , ---R ---R [0.28999999999999998, 8.0245700000000003E-2, 8.0245708041556577E-2, ---R 8.041556573412656E-9] ---R , ---R ---R [0.29999999999999999, 7.9352400000000003E-2, 7.9352437281438454E-2, ---R 3.7281438450276205E-8] ---R , ---R [0.31,7.8469300000000006E-2,7.8469250175248736E-2,- 4.9824751269245127E-8], ---R ---R [0.32000000000000001, 7.7595999999999998E-2, 7.7596030840595492E-2, ---R 3.0840595494074918E-8] ---R , ---R ---R [0.33000000000000002, 7.6732700000000001E-2, 7.6732664758612748E-2, ---R - 3.5241387252860079E-8] ---R , ---R ---R [0.34000000000000002, 7.5879000000000002E-2, 7.5879038757388551E-2, ---R 3.8757388548527061E-8] ---R , ---R ---R [0.34999999999999998, 7.5035000000000004E-2, 7.5035040995603944E-2, ---R 4.0995603939331104E-8] ---R , ---R ---R [0.35999999999999999, 7.4200600000000005E-2, 7.4200560946380167E-2, ---R - 3.9053619838025355E-8] ---R , ---R [0.37,7.3375499999999996E-2,7.3375489381331219E-2,- 1.0618668777606644E-8], ---R [0.38,7.2559700000000005E-2,7.2559718354818795E-2,1.8354818789867444E-8], ---R [0.39000000000000001,7.17531E-2,7.1753141188407144E-2,4.1188407143288863E-8] ---R , ---R ---R [0.40000000000000002, 7.0955699999999997E-2, 7.0955652455514773E-2, ---R - 4.7544485223816046E-8] ---R , ---R ---R [0.40999999999999998, 7.0167099999999996E-2, 7.0167147966260709E-2, ---R 4.7966260713350195E-8] ---R , ---R ---R [0.41999999999999998, 6.9387500000000005E-2, 6.93875247525024E-2, ---R 2.4752502394975728E-8] ---R , ---R ---R [0.42999999999999999, 6.8616700000000003E-2, 6.8616681053062775E-2, ---R - 1.8946937227481975E-8] ---R , ---R [0.44,6.7854499999999998E-2,6.7854516299143935E-2,1.6299143937303917E-8], ---R ---R [0.45000000000000001, 6.7100900000000005E-2, 6.7100931099924779E-2, ---R 3.1099924774347087E-8] ---R , ---R ---R [0.46000000000000002, 6.6355800000000006E-2, 6.6355827228340464E-2, ---R 2.7228340457319256E-8] ---R , ---R [0.46999999999999997,6.56191E-2,6.5619107607040858E-2,7.6070408583372995E-9] ---R , ---R ---R [0.47999999999999998, 6.4890699999999996E-2, 6.4890676294525704E-2, ---R - 2.3705474291868533E-8] ---R , ---R ---R [0.48999999999999999, 6.4170400000000002E-2, 6.4170438471454316E-2, ---R 3.8471454313904196E-8] ---R , ---R [0.5,6.3458299999999995E-2,6.3458300427127218E-2,4.2712722247983947E-10], ---R ---R [0.51000000000000001, 6.2754199999999996E-2, 6.2754169546137606E-2, ---R - 3.0453862390200648E-8] ---R , ---R ---R [0.52000000000000002, 6.2058000000000002E-2, 6.2057954295190239E-2, ---R - 4.5704809763236209E-8] ---R , ---R ---R [0.53000000000000003, 6.1369600000000003E-2, 6.136956421008552E-2, ---R - 3.5789914483441709E-8] ---R , ---R ---R [0.54000000000000004, 6.0688899999999997E-2, 6.06889098828668E-2, ---R 9.8828668027017841E-9] ---R , ---R ---R [0.55000000000000004, 6.0015899999999997E-2, 6.0015902949128445E-2, ---R 2.9491284483929014E-9] ---R , ---R ---R [0.56000000000000005, 5.93505E-2, 5.9350456075482616E-2, ---R - 4.3924517384441586E-8] ---R , ---R ---R [0.56999999999999995, 5.8692500000000002E-2, 5.8692482947182836E-2, ---R - 1.7052817165297274E-8] ---R , ---R ---R [0.57999999999999996, 5.80419E-2, 5.8041898255901947E-2, ---R - 1.7440980534799699E-9] ---R , ---R ---R [0.58999999999999997, 5.7398600000000001E-2, 5.7398617687662766E-2, ---R 1.7687662764998002E-8] ---R , ---R ---R [0.59999999999999998, 5.6762600000000003E-2, 5.6762557910919068E-2, ---R - 4.2089080935781009E-8] ---R , ---R ---R [0.60999999999999999, 5.6133599999999999E-2, 5.6133636564785275E-2, ---R 3.6564785275972067E-8] ---R , ---R [0.62,5.55118E-2,5.5511772247412536E-2,- 2.7752587464235923E-8], ---R [0.63,5.4896899999999998E-2,5.4896884504509566E-2,- 1.5495490432448911E-8], ---R ---R [0.64000000000000001, 5.4288900000000001E-2, 5.4288893818006168E-2, ---R - 6.1819938335094804E-9] ---R , ---R ---R [0.65000000000000002, 5.3687699999999998E-2, 5.3687721594857608E-2, ---R 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4503599627370496 576460752303423488 288230376151711744 +--R 26984712035 +--R - ------------------] +--R 576460752303423488 +--R , +--R 6970621062928227 6970612494646361 4284140933 +--R [2,------------------,------------------,- ------------------]] +--R 576460752303423488 576460752303423488 288230376151711744 +--R Type: List List Fraction Integer --E 6 \end{chunk} + +The actual table values from above are: +\begin{verbatim} + [1.0E-2, 0.1098682, + 0.10986822627360165, + 2.6273601655413259E-8] + [2.0E-2, 0.1086395, + 0.10863946164415648, + -3.8355843515192056E-8] + [2.9999999999999999E-2, 0.1074246, + 0.10742465352510716, + 5.3525107165941499E-8] + [4.0000000000000001E-2, 0.1062236, + 0.10622364016949924, + 4.016949924079416E-8] + [5.0000000000000003E-2, 0.1050363, + 0.10503626175690921, + -3.8243090791367784E-8] + [5.9999999999999998E-2, 0.10386239999999999, + 0.10386236036958028, + -3.9630419709779652E-8] + [7.0000000000000007E-2, 0.1027018, + 0.1027017799688722, + 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8.0245708041556577E-2, + 8.041556573412656E-9] + [0.29999999999999999, 7.9352400000000003E-2, + 7.9352437281438454E-2, + 3.7281438450276205E-8] + [0.31, 7.8469300000000006E-2, + 7.8469250175248736E-2, + -4.9824751269245127E-8] + [0.32000000000000001, 7.7595999999999998E-2, + 7.7596030840595492E-2, + 3.0840595494074918E-8] + [0.33000000000000002, 7.6732700000000001E-2, + 7.6732664758612748E-2, + -3.5241387252860079E-8] + [0.34000000000000002, 7.5879000000000002E-2, + 7.5879038757388551E-2, + 3.8757388548527061E-8] + [0.34999999999999998, 7.5035000000000004E-2, + 7.5035040995603944E-2, + 4.0995603939331104E-8] + [0.35999999999999999, 7.4200600000000005E-2, + 7.4200560946380167E-2, + -3.9053619838025355E-8] + [0.37, 7.3375499999999996E-2, + 7.3375489381331219E-2, + -1.0618668777606644E-8] + [0.38, 7.2559700000000005E-2, + 7.2559718354818795E-2, + 1.8354818789867444E-8] + [0.39000000000000001, 7.17531E-2, + 7.1753141188407144E-2, + 4.1188407143288863E-8] + [0.40000000000000002, 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4.2712722247983947E-10] + [0.51000000000000001, 6.2754199999999996E-2, + 6.2754169546137606E-2, + -3.0453862390200648E-8] + [0.52000000000000002, 6.2058000000000002E-2, + 6.2057954295190239E-2, + -4.5704809763236209E-8] + [0.53000000000000003, 6.1369600000000003E-2, + 6.136956421008552E-2, + -3.5789914483441709E-8] + [0.54000000000000004, 6.0688899999999997E-2, + 6.06889098828668E-2, + 9.8828668027017841E-9] + [0.55000000000000004, 6.0015899999999997E-2, + 6.0015902949128445E-2, + 2.9491284483929014E-9] + [0.56000000000000005, 5.93505E-2, + 5.9350456075482616E-2, + -4.3924517384441586E-8] + [0.56999999999999995, 5.8692500000000002E-2, + 5.8692482947182836E-2, + -1.7052817165297274E-8] + [0.57999999999999996, 5.80419E-2, + 5.8041898255901947E-2, + -1.7440980534799699E-9] + [0.58999999999999997, 5.7398600000000001E-2, + 5.7398617687662766E-2, + 1.7687662764998002E-8] + [0.59999999999999998, 5.6762600000000003E-2, + 5.6762557910919068E-2, + -4.2089080935781009E-8] + [0.60999999999999999, 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3.4816300000000001E-2, + 3.4816281450242362E-2, + -1.8549757639652054E-8] + [1.05, 3.44328E-2, + 3.4432778134940903E-2, + -2.1865059096626283E-8] + [1.0600000000000001, 3.40535E-2, + 3.405354631029861E-2, + 4.6310298609797407E-8] + [1.0700000000000001, 3.36785E-2, + 3.3678537743885642E-2, + 3.7743885641927655E-8] + [1.0800000000000001, 3.3307700000000003E-2, + 3.3307704757373741E-2, + 4.757373738006887E-9] + [1.0900000000000001, 3.2940999999999998E-2, + 3.2941000220027501E-2, + 2.20027503161635E-10] + [1.1000000000000001, 3.25784E-2, + 3.2578377542274328E-2, + -2.2457725672164752E-8] + [1.1100000000000001, 3.22198E-2, + 3.2219790669352259E-2, + -9.3306477405574739E-9] + [1.1200000000000001, 3.1865200000000003E-2, + 3.186519407503445E-2, + -5.924965552905892E-9] + [1.1299999999999999, 3.1514500000000001E-2, + 3.1514542755429475E-2, + 4.275542947462796E-8] + [1.1399999999999999, 3.1167799999999999E-2, + 3.1167792222856549E-2, + -7.777143450071744E-9] + [1.1499999999999999, 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2.094614039565253E-2, + 4.0395652531333148E-8] + [1.51, 2.0716700000000001E-2, + 2.0716653524493592E-2, + -4.647550640862752E-8] + [1.52, 2.04897E-2, + 2.0489705748893364E-2, + 5.748893364826424E-9] + [1.53, 2.02653E-2, + 2.0265268638479383E-2, + -3.1361520616557392E-8] + [1.54, 2.00433E-2, + 2.0043314085942482E-2, + 1.4085942481867342E-8] + [1.55, 1.9823799999999999E-2, + 1.9823814303296966E-2, + 1.4303296966972079E-8] + [1.5600000000000001, 1.9606700000000001E-2, + 1.9606741818185093E-2, + 4.1818185091829774E-8] + [1.5700000000000001, 1.9392099999999999E-2, + 1.9392069470225374E-2, + -3.0529774625032147E-8] + [1.5800000000000001, 1.91798E-2, + 1.9179770407404116E-2, + -2.9592595884170292E-8] + [1.5900000000000001, 1.8969799999999998E-2, + 1.8969818082509717E-2, + 1.8082509718742035E-8] + [1.6000000000000001, 1.87622E-2, + 1.8762186249609149E-2, + -1.3750390850247873E-8] + [1.6100000000000001, 1.8556799999999998E-2, + 1.8556848960566173E-2, + 4.8960566174233167E-8] + [1.6200000000000001, 1.83538E-2, + 1.835378056160069E-2, + -1.9438399310317545E-8] + [1.6299999999999999, 1.8152999999999999E-2, + 1.8152955689888815E-2, + -4.431011118438688E-8] + [1.6399999999999999, 1.7954299999999999E-2, + 1.7954349270203122E-2, + 4.927020312225916E-8] + [1.6499999999999999, 1.77579E-2, + 1.77579365115926E-2, + 3.6511592600013687E-8] + [1.6599999999999999, 1.7563700000000002E-2, + 1.7563692904101796E-2, + -7.0958982058277886E-9] + [1.6699999999999999, 1.7371600000000001E-2, + 1.7371594215528752E-2, + -5.7844712492149952E-9] + [1.6799999999999999, 1.7181600000000002E-2, + 1.718161648822112E-2, + 1.6488221118299284E-8] + [1.6899999999999999, 1.69937E-2, + 1.6993736035910194E-2, + 3.6035910193354947E-8] + [1.7, 1.6807900000000001E-2, + 1.6807929440582167E-2, + 2.9440582166584406E-8] + [1.71, 1.6624199999999999E-2, + 1.6624173549386351E-2, + -2.6450613647283072E-8] + [1.72, 1.6442399999999999E-2, + 1.6442445471579824E-2, + 4.5471579824402086E-8] + [1.73, 1.6262700000000001E-2, + 1.6262722575508065E-2, + 2.2575508063643612E-8] + [1.74, 1.6084999999999999E-2, + 1.6084982485621131E-2, + -1.7514378867350411E-8] + [1.75, 1.5909199999999998E-2, + 1.590920307952504E-2, + 3.0795250412218866E-9] + [1.76, 1.57354E-2, + 1.5735362485067742E-2, + -3.7514932257898259E-8] + [1.77, 1.55634E-2, + 1.5563439077459485E-2, + 3.9077459485295507E-8] + [1.78, 1.53934E-2, + 1.5393411476427005E-2, + 1.1476427004900036E-8] + [1.79, 1.5225300000000001E-2, + 1.5225258543401145E-2, + -4.1456598855182936E-8] + [1.8, 1.5058999999999999E-2, + 1.5058959378737585E-2, + -4.0621262414539117E-8] + [1.8100000000000001, 1.48945E-2, + 1.4894493318970201E-2, + -6.6810297988384448E-9] + [1.8200000000000001, 1.47318E-2, + 1.4731839934096682E-2, + 3.9934096682237019E-8] + [1.8300000000000001, 1.4571000000000001E-2, + 1.4570979024896022E-2, + -2.0975103978346232E-8] + [1.8400000000000001, 1.44119E-2, + 1.4411890620277503E-2, + -9.3797224969688342E-9] + [1.8500000000000001, 1.4254599999999999E-2, + 1.4254554974660784E-2, + -4.5025339215701288E-8] + [1.8600000000000001, 1.4099E-2, + 1.4098952565386716E-2, + -4.7434613284144667E-8] + [1.8700000000000001, 1.39451E-2, + 1.3945064090158516E-2, + -3.590984148406362E-8] + [1.8799999999999999, 1.37929E-2, + 1.3792870464512974E-2, + -2.9535487026596807E-8] + [1.8899999999999999, 1.3642400000000001E-2, + 1.3642352819321199E-2, + -4.7180678801328479E-8] + [1.8999999999999999, 1.34935E-2, + 1.3493492498318767E-2, + -7.5016812327993732E-9] + [1.9099999999999999, 1.33463E-2, + 1.3346271055664704E-2, + -2.8944335296599011E-8] + [1.9199999999999999, 1.3200699999999999E-2, + 1.3200670253529076E-2, + -2.9746470923616708E-8] + [1.9299999999999999, 1.3056699999999999E-2, + 1.3056672059708809E-2, + -2.794029119006225E-8] + [1.9399999999999999, 1.29143E-2, + 1.2914258645271409E-2, + -4.1354728591222467E-8] + [1.95, 1.2773400000000001E-2, + 1.2773412382226235E-2, + 1.2382226233925708E-8] + [1.96, 1.2634100000000001E-2, + 1.2634115841222995E-2, + 1.5841222994819604E-8] + [1.97, 1.24964E-2, + 1.2496351789277165E-2, + -4.8210722834035602E-8] + [1.98, 1.2360100000000001E-2, + 1.236010318752195E-2, + 3.1875219495131057E-9] + [1.99, 1.2225400000000001E-2, + 1.222535318898654E-2, + -4.6811013461323103E-8] + [2., 1.20921E-2, + 1.2092085136400298E-2, + -1.4863599701736563E-8]] +\end{verbatim} + This table expresses the value of $E_20$ with an argument range of 0.01 to 2.00. + \begin{chunk}{*} + --S 7 of 7 +t7:List List Fraction Integer:=[[machineFraction (x::DFLOAT) for x in line]_ + for line in _ [[0.01,0.0520790,En(20,0.01),En(20,0.01)-0.0520790],_ [0.02,0.0515321,En(20,0.02),En(20,0.02)-0.0515321],_ [0.03,0.0509911,En(20,0.03),En(20,0.03)-0.0509911],_ @@ -3214,585 +6148,1523 @@ $E_20$ with an argument range of 0.01 to 2.00. [1.97,0.0066195,En(20,1.97),En(20,1.97)-0.0066195],_ [1.98,0.0065504,En(20,1.98),En(20,1.98)-0.0065504],_ [1.99,0.0064820,En(20,1.99),En(20,1.99)-0.0064820],_ -[2.00,0.0064143,En(20,2.00),En(20,2.00)-0.0064143]] +[2.00,0.0064143,En(20,2.00),En(20,2.00)-0.0064143]]] --R --R --R (7) ---R [[1.0E-2,5.2079E-2,5.2078954179335148E-2,- 4.5820664852647131E-8], ---R [2.0E-2,5.1532099999999997E-2,5.1532149651352818E-2,4.9651352820867523E-8], ---R ---R [2.9999999999999999E-2, 5.0991099999999998E-2, 5.0991103854550281E-2, ---R 3.8545502831222045E-9] ---R , ---R ---R [4.0000000000000001E-2, 5.0455800000000002E-2, 5.0455755932602576E-2, ---R - 4.4067397425573418E-8] ---R , ---R ---R [5.0000000000000003E-2, 4.9925999999999998E-2, 4.9926045674777729E-2, ---R 4.5674777730819738E-8] ---R , ---R ---R [5.9999999999999998E-2, 4.9401899999999999E-2, 4.9401913509057829E-2, ---R 1.3509057830707327E-8] ---R , ---R ---R [7.0000000000000007E-2, 4.8883299999999998E-2, 4.8883300495333924E-2, ---R 4.9533392665335185E-10] ---R , ---R ---R [8.0000000000000002E-2, 4.8370200000000002E-2, 4.83701483186737E-2, ---R - 5.1681326301844521E-8] ---R , ---R ---R [8.9999999999999997E-2, 4.7862399999999999E-2, 4.786239928266129E-2, ---R - 7.1733870926626864E-10] ---R , ---R ---R [0.10000000000000001, 4.7359999999999999E-2, 4.7359996302808287E-2, ---R - 3.6971917125039333E-9] ---R , ---R [0.11,4.6862899999999999E-2,4.6862882900035485E-2,- 1.7099964513822563E-8], ---R [0.12,4.6371000000000002E-2,4.6371003194224242E-2,3.1942242392779541E-9], ---R [0.13,4.5884300000000003E-2,4.5884301897836918E-2,1.8978369153987984E-9], ---R ---R [0.14000000000000001, 4.5402699999999997E-2, 4.5402724309605645E-2, ---R 2.430960564792084E-8] ---R , ---R ---R [0.14999999999999999, 4.4926199999999999E-2, 4.4926216308288566E-2, ---R 1.6308288566801998E-8] ---R , ---R [0.16,4.44547E-2,4.4454724346493016E-2,2.4346493016080828E-8], ---R ---R [0.17000000000000001, 4.3988199999999998E-2, 4.398819544456465E-2, ---R - 4.5554353483856502E-9] ---R , ---R ---R [0.17999999999999999, 4.3526599999999999E-2, 4.3526577184542115E-2, ---R - 2.2815457884073354E-8] ---R , ---R [0.19,4.3069799999999998E-2,4.3069817704176359E-2,1.7704176361044155E-8], ---R ---R [0.20000000000000001, 4.26179E-2, 4.2617865691013848E-2, ---R - 3.4308986152087328E-8] ---R , ---R ---R [0.20999999999999999, 4.2170699999999998E-2, 4.2170670376543248E-2, ---R - 2.962345675011635E-8] ---R , ---R [0.22,4.17282E-2,4.1728181530404598E-2,- 1.8469595401693351E-8], ---R ---R [0.23000000000000001, 4.1290300000000002E-2, 4.1290349454660515E-2, ---R 4.9454660512593396E-8] ---R , ---R [0.23999999999999999,4.08571E-2,4.0857124978128601E-2,2.4978128600194882E-8] ---R , ---R [0.25,4.0428499999999999E-2,4.0428459450774591E-2,- 4.0549225407970901E-8], ---R [0.26000000000000001,4.00043E-2,4.0004304738165339E-2,4.7381653392464251E-9] ---R , ---R ---R [0.27000000000000002, 3.9584599999999998E-2, 3.9584613215981258E-2, ---R 1.3215981260750187E-8] ---R , ---R ---R [0.28000000000000003, 3.9169299999999997E-2, 3.916933776458735E-2, ---R 3.7764587353106283E-8] ---R , ---R ---R [0.28999999999999998, 3.8758399999999998E-2, 3.8758431763662324E-2, ---R 3.1763662325379194E-8] ---R , ---R ---R [0.29999999999999999, 3.8351799999999998E-2, 3.8351849086885194E-2, ---R 4.908688519544846E-8] ---R , ---R [0.31,3.7949499999999997E-2,3.7949544096678632E-2,4.4096678634975017E-8], ---R ---R [0.32000000000000001, 3.7551500000000002E-2, 3.7551471639008578E-2, ---R - 2.8360991423392878E-8] ---R , ---R ---R [0.33000000000000002, 3.7157599999999999E-2, 3.7157587038239355E-2, ---R - 1.2961760643970255E-8] ---R , ---R ---R [0.34000000000000002, 3.6767800000000003E-2, 3.6767846092043928E-2, ---R 4.6092043924639281E-8] ---R , ---R ---R [0.34999999999999998, 3.6382200000000003E-2, 3.6382205066368474E-2, ---R 5.0663684705853917E-9] ---R , ---R ---R [0.35999999999999999, 3.6000600000000001E-2, 3.6000620690450777E-2, ---R 2.0690450776295055E-8] ---R , ---R [0.37,3.5623099999999998E-2,3.5623050151891968E-2,- 4.9848108030214888E-8], ---R [0.38,3.5249500000000003E-2,3.5249451091780772E-2,- 4.8908219231480476E-8], ---R ---R [0.39000000000000001, 3.4879800000000002E-2, 3.4879781599870076E-2, ---R - 1.8400129926654518E-8] ---R , ---R ---R [0.40000000000000002, 3.4514000000000003E-2, 3.4514000209804857E-2, ---R 2.0980485404553662E-10] ---R , ---R ---R [0.40999999999999998, 3.4152099999999998E-2, 3.4152065894401229E-2, ---R - 3.410559876876329E-8] ---R , ---R ---R [0.41999999999999998, 3.3793900000000002E-2, 3.3793938060975852E-2, ---R 3.8060975850184864E-8] ---R , ---R ---R [0.42999999999999999, 3.34396E-2, 3.3439576546725337E-2, ---R - 2.3453274662632584E-8] ---R , ---R [0.44,3.3088899999999997E-2,3.308894161415496E-2,4.1614154962232863E-8], ---R ---R [0.45000000000000001, 3.2742E-2, 3.2741993946556171E-2, ---R - 6.0534438295345439E-9] ---R , ---R ---R [0.46000000000000002, 3.2398700000000002E-2, 3.2398694643532566E-2, ---R - 5.3564674362682752E-9] ---R , ---R ---R [0.46999999999999997, 3.2058999999999997E-2, 3.2059005216573518E-2, ---R 5.216573520372414E-9] ---R , ---R ---R [0.47999999999999998, 3.1722899999999998E-2, 3.1722887584675112E-2, ---R - 1.2415324886216883E-8] ---R , ---R ---R [0.48999999999999999, 3.1390300000000003E-2, 3.1390304070007917E-2, ---R 4.070007914025453E-9] ---R , ---R [0.5,3.1061200000000001E-2,3.1061217393630984E-2,1.7393630983436603E-8], ---R ---R [0.51000000000000001, 3.0735599999999998E-2, 3.0735590671251607E-2, ---R - 9.3287483918236269E-9] ---R , ---R ---R [0.52000000000000002, 3.04134E-2, 3.0413387409030435E-2, ---R - 1.2590969565573484E-8] ---R , ---R ---R [0.53000000000000003, 3.0094599999999999E-2, 3.009457149943125E-2, ---R - 2.8500568748784927E-8] ---R , ---R ---R [0.54000000000000004, 2.9779099999999999E-2, 2.9779107217115259E-2, ---R 7.217115259583462E-9] ---R , ---R ---R [0.55000000000000004, 2.9467E-2, 2.9466959214879015E-2, ---R - 4.0785120985348255E-8] ---R , ---R ---R [0.56000000000000005, 2.9158099999999999E-2, 2.9158092519635862E-2, ---R - 7.4803641371412599E-9] ---R , ---R ---R [0.56999999999999995, 2.88525E-2, 2.8852472528440212E-2, ---R - 2.7471559787412003E-8] ---R , ---R ---R [0.57999999999999996, 2.8550099999999998E-2, 2.8550065004554304E-2, ---R - 3.4995445694074867E-8] ---R , ---R [0.58999999999999997,2.82508E-2,2.8250836073556898E-2,3.6073556898552628E-8] ---R , ---R ---R [0.59999999999999998, 2.7954799999999998E-2, 2.7954752219493562E-2, ---R - 4.7780506436806425E-8] ---R , ---R ---R [0.60999999999999999, 2.76618E-2, 2.7661780281068072E-2, ---R - 1.9718931928286443E-8] ---R , ---R [0.62,2.7371900000000001E-2,2.7371887447874325E-2,- 1.2552125675663328E-8], ---R [0.63,2.7085000000000001E-2,2.7085041256668666E-2,4.1256668664724216E-8], ---R ---R [0.64000000000000001, 2.6801200000000001E-2, 2.6801209587681844E-2, ---R 9.5876818428930477E-9] ---R , ---R ---R [0.65000000000000002, 2.65204E-2, 2.6520360660970379E-2, ---R - 3.9339029620638621E-8] ---R , ---R ---R [0.66000000000000003, 2.6242499999999998E-2, 2.6242463032806879E-2, ---R - 3.6967193119130659E-8] ---R , ---R ---R [0.67000000000000004, 2.5967500000000001E-2, 2.5967485592108871E-2, ---R - 1.4407891130163719E-8] ---R , ---R ---R [0.68000000000000005, 2.56954E-2, 2.5695397556905687E-2, ---R - 2.4430943136588557E-9] ---R , ---R ---R [0.68999999999999995, 2.5426199999999999E-2, 2.5426168470843124E-2, ---R - 3.1529156875598208E-8] ---R , ---R ---R [0.69999999999999996, 2.51598E-2, 2.5159768199725301E-2, ---R - 3.1800274698234876E-8] ---R , ---R ---R [0.70999999999999996, 2.48962E-2, 2.489616692809353E-2, ---R - 3.3071906470338863E-8] ---R , ---R ---R [0.71999999999999997, 2.4635299999999999E-2, 2.4635335155841546E-2, ---R 3.5155841546924416E-8] ---R , ---R ---R [0.72999999999999998, 2.4377200000000002E-2, 2.4377243694866949E-2, ---R 4.3694866946886179E-8] ---R , ---R ---R [0.73999999999999999, 2.4121900000000002E-2, 2.4121863665758296E-2, ---R - 3.6334241705626713E-8] ---R , ---R [0.75,2.38692E-2,2.386916649451758E-2,- 3.3505482419787791E-8], ---R ---R [0.76000000000000001, 2.3619100000000001E-2, 2.3619123909317606E-2, ---R 2.3909317605624869E-8] ---R , ---R ---R [0.77000000000000002, 2.3371699999999999E-2, 2.3371707937294008E-2, ---R 7.9372940095523425E-9] ---R , ---R ---R [0.78000000000000003, 2.3126899999999999E-2, 2.3126890901371419E-2, ---R - 9.0986285797289845E-9] ---R , ---R ---R [0.79000000000000004, 2.2884600000000001E-2, 2.2884645417123543E-2, ---R 4.5417123541169335E-8] ---R , ---R ---R [0.80000000000000004, 2.2644899999999999E-2, 2.2644944389666643E-2, ---R 4.4389666643829262E-8] ---R , ---R ---R [0.81000000000000005, 2.2407799999999999E-2, 2.2407761010586214E-2, ---R - 3.8989413784357163E-8] ---R , ---R ---R [0.81999999999999995, 2.2173100000000001E-2, 2.2173068754896382E-2, ---R - 3.124510361898758E-8] ---R , ---R [0.82999999999999996,2.19408E-2,2.1940841378031716E-2,4.1378031716277075E-8] ---R , ---R ---R [0.83999999999999997, 2.1711100000000001E-2, 2.1711052912871148E-2, ---R - 4.708712885229116E-8] ---R , ---R ---R [0.84999999999999998, 2.1483700000000001E-2, 2.1483677666793578E-2, ---R - 2.2333206423086338E-8] ---R , ---R ---R [0.85999999999999999, 2.1258699999999998E-2, 2.1258690218764878E-2, ---R - 9.7812351204651371E-9] ---R , ---R [0.87,2.1036099999999999E-2,2.1036065416455953E-2,- 3.4583544045868608E-8], ---R [0.88,2.0815799999999999E-2,2.0815778373391495E-2,- 2.162660850402176E-8], ---R ---R [0.89000000000000001, 2.0597799999999999E-2, 2.0597804466129153E-2, ---R 4.4661291540015746E-9] ---R , ---R [0.90000000000000002,2.03821E-2,2.0382119331468756E-2,1.9331468755628967E-8] ---R , ---R ---R [0.91000000000000003, 2.0168700000000001E-2, 2.0168698863691235E-2, ---R - 1.136308765831151E-9] ---R , ---R [0.92000000000000004,1.99575E-2,1.9957519211827056E-2,1.9211827056303532E-8] ---R , ---R ---R [0.93000000000000005, 1.9748600000000002E-2, 1.9748556776953658E-2, ---R - 4.3223046343465743E-8] ---R , ---R ---R [0.93999999999999995, 1.9541800000000002E-2, 1.9541788209521748E-2, ---R - 1.1790478253448367E-8] ---R , ---R ---R [0.94999999999999996, 1.9337199999999999E-2, 1.9337190406710072E-2, ---R - 9.5932899263351246E-9] ---R , ---R ---R [0.95999999999999996, 1.9134700000000001E-2, 1.9134740509808349E-2, ---R 4.0509808348077048E-8] ---R , ---R ---R [0.96999999999999997, 1.8934400000000001E-2, 1.8934415901628112E-2, ---R 1.5901628111492094E-8] ---R , ---R ---R [0.97999999999999998, 1.8736200000000001E-2, 1.8736194203941098E-2, ---R - 5.7960589036620824E-9] ---R , ---R ---R [0.98999999999999999, 1.85401E-2, 1.8540053274944939E-2, ---R - 4.6725055061203058E-8] ---R , ---R [1.,1.8346000000000001E-2,1.8345971206755872E-2,- 2.8793244129243778E-8], ---R [1.01,1.8153900000000001E-2,1.8153926322928098E-2,2.6322928097649578E-8], ---R [1.02,1.7963900000000001E-2,1.7963897175999596E-2,- 2.8240004050494871E-9], ---R [1.03,1.7775900000000001E-2,1.7775862545064098E-2,- 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+The actual table values from above are: +\begin{verbatim} + [1.0E-2, 5.2079E-2, + 5.2078954179335148E-2, + -4.5820664852647131E-8] + [2.0E-2, 5.1532099999999997E-2, + 5.1532149651352818E-2, + 4.9651352820867523E-8] + [2.9999999999999999E-2, 5.0991099999999998E-2, + 5.0991103854550281E-2, + 3.8545502831222045E-9] + [4.0000000000000001E-2, 5.0455800000000002E-2, + 5.0455755932602576E-2, + -4.4067397425573418E-8] + [5.0000000000000003E-2, 4.9925999999999998E-2, + 4.9926045674777729E-2, + 4.5674777730819738E-8] + [5.9999999999999998E-2, 4.9401899999999999E-2, + 4.9401913509057829E-2, + 1.3509057830707327E-8] + [7.0000000000000007E-2, 4.8883299999999998E-2, + 4.8883300495333924E-2, + 4.9533392665335185E-10] + [8.0000000000000002E-2, 4.8370200000000002E-2, + 4.83701483186737E-2, + -5.1681326301844521E-8] + [8.9999999999999997E-2, 4.7862399999999999E-2, + 4.786239928266129E-2, + -7.1733870926626864E-10] + [0.10000000000000001, 4.7359999999999999E-2, + 4.7359996302808287E-2, + 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6.4819999999999999E-3, + 6.4819785645183897E-3, + -2.1435481610196372E-8] + [2., 6.4143000000000004E-3, + 6.4143058553248998E-3, + 5.8553248994189233E-9] +\end{verbatim} + )spool )lisp (bye) @@ -3803,4 +7675,4 @@ $E_20$ with an argument range of 0.01 to 2.00. Dover Publications, Inc. New York 1965. pp245-248 \end{thebibliography} \end{document} - +