Table of Positive Integral Values for the Gamma Function (double) x gamma est Relative Err 1.0 +1.00000000e+00 +1.00000000e+00 +0.00000000e+00 2.0 +1.00000000e+00 +1.00000000e+00 +0.00000000e+00 3.0 +2.00000000e+00 +2.00000000e+00 +0.00000000e+00 4.0 +6.00000000e+00 +6.00000000e+00 +0.00000000e+00 5.0 +2.40000000e+01 +2.40000000e+01 +0.00000000e+00 6.0 +1.20000000e+02 +1.20000000e+02 +0.00000000e+00 7.0 +7.20000000e+02 +7.20000000e+02 +0.00000000e+00 8.0 +5.04000000e+03 +5.04000000e+03 +0.00000000e+00 9.0 +4.03200000e+04 +4.03200000e+04 +0.00000000e+00 10.0 +3.62880000e+05 +3.62880000e+05 +0.00000000e+00 11.0 +3.62880000e+06 +3.62880000e+06 +0.00000000e+00 12.0 +3.99168000e+07 +3.99168000e+07 +0.00000000e+00 13.0 +4.79001600e+08 +4.79001600e+08 +0.00000000e+00 14.0 +6.22702080e+09 +6.22702080e+09 +0.00000000e+00 15.0 +8.71782912e+10 +8.71782912e+10 +0.00000000e+00 16.0 +1.30767437e+12 +1.30767437e+12 +0.00000000e+00 17.0 +2.09227899e+13 +2.09227899e+13 +0.00000000e+00 18.0 +3.55687428e+14 +3.55687428e+14 +0.00000000e+00 19.0 +6.40237371e+15 +6.40237371e+15 +0.00000000e+00 20.0 +1.21645100e+17 +1.21645100e+17 +0.00000000e+00 21.0 +2.43290201e+18 +2.43290201e+18 +0.00000000e+00 22.0 +5.10909422e+19 +5.10909422e+19 +0.00000000e+00 23.0 +1.12400073e+21 +1.12400073e+21 +0.00000000e+00 24.0 +2.58520167e+22 +2.58520167e+22 +6.08410561e-17 25.0 +6.20448402e+23 +6.20448402e+23 -4.73208214e-17 26.0 +1.55112100e+25 +1.55112100e+25 +4.59687979e-18 27.0 +4.03291461e+26 +4.03291461e+26 +3.65254340e-17 28.0 +1.08888695e+28 +1.08888695e+28 -2.02148694e-17 29.0 +3.04888345e+29 +3.04888345e+29 +3.74714652e-17 30.0 +8.84176199e+30 +8.84176199e+30 -6.34207221e-18 31.0 +2.65252860e+32 +2.65252860e+32 +3.61456664e-17 32.0 +8.22283865e+33 +8.22283865e+33 +9.31079848e-17 33.0 +2.63130837e+35 +2.63130837e+35 -4.71016864e-17 34.0 +8.68331762e+36 +8.68331762e+36 +7.18309017e-17 35.0 +2.95232799e+38 +2.95232799e+38 -7.21042605e-17 36.0 +1.03331480e+40 +1.03331480e+40 +4.85574619e-17 37.0 +3.71993327e+41 +3.71993327e+41 -1.07448460e-16 38.0 +1.37637531e+43 +1.37637531e+43 +3.87348046e-17 39.0 +5.23022617e+44 +5.23022617e+44 +1.02812037e-17 40.0 +2.03978821e+46 +2.03978821e+46 +3.75061951e-17 41.0 +8.15915283e+47 +8.15915283e+47 -6.19519805e-17 42.0 +3.34525266e+49 +3.34525266e+49 +2.53889912e-17 43.0 +1.40500612e+51 +1.40500612e+51 +4.01315681e-17 44.0 +6.04152631e+52 +6.04152631e+52 -2.58689820e-17 45.0 +2.65827157e+54 +2.65827157e+54 +3.81276449e-17 46.0 +1.19622221e+56 +1.19622221e+56 -5.00479163e-17 47.0 +5.50262216e+57 +5.50262216e+57 +3.70421831e-17 48.0 +2.58623242e+59 +2.58623242e+59 -1.14522489e-17 49.0 +1.24139156e+61 +1.24139156e+61 -1.15083873e-17 50.0 +6.08281864e+62 +6.08281864e+62 -6.31317248e-17 51.0 +3.04140932e+64 +3.04140932e+64 -8.10901708e-17 52.0 +1.55111875e+66 +1.55111875e+66 -5.85356789e-17 53.0 +8.06581752e+67 +8.06581752e+67 -2.13812416e-17 54.0 +4.27488328e+69 +4.27488328e+69 -1.86420906e-17 55.0 +2.30843697e+71 +2.30843697e+71 -5.29019158e-18 56.0 +1.26964034e+73 +1.26964034e+73 +4.10390620e-17 57.0 +7.10998588e+74 +7.10998588e+74 +4.10390620e-17 58.0 +4.05269195e+76 +4.05269195e+76 -6.55172924e-17 59.0 +2.35056133e+78 +2.35056133e+78 -3.27292710e-17 60.0 +1.38683119e+80 +1.38683119e+80 +2.06714235e-17 61.0 +8.32098711e+81 +8.32098711e+81 -2.99596595e-17 62.0 +5.07580214e+83 +5.07580214e+83 +7.29289076e-17 63.0 +3.14699733e+85 +3.14699733e+85 +5.92185541e-17 64.0 +1.98260832e+87 +1.98260832e+87 +1.04978269e-17 65.0 +1.26886932e+89 +1.26886932e+89 +1.04978269e-17 66.0 +8.24765059e+90 +8.24765059e+90 +1.03041882e-16 67.0 +5.44344939e+92 +5.44344939e+92 +9.97116680e-18 68.0 +3.64711109e+94 +3.64711109e+94 -5.66521019e-17 69.0 +2.48003554e+96 +2.48003554e+96 -2.08236015e-17 70.0 +1.71122452e+98 +1.71122452e+98 -8.17624428e-17 71.0 +1.19785717e+100 +1.19785717e+100 +3.47638861e-17 72.0 +8.50478589e+101 +8.50478589e+101 -2.00581901e-17 73.0 +6.12344584e+103 +6.12344584e+103 -3.62935065e-17 74.0 +4.47011546e+105 +4.47011546e+105 +1.00129609e-17 75.0 +3.30788544e+107 +3.30788544e+107 -5.15742658e-17 76.0 +2.48091408e+109 +2.48091408e+109 +6.66719265e-17 77.0 +1.88549470e+111 +1.88549470e+111 +6.66546405e-17 78.0 +1.45183092e+113 +1.45183092e+113 +1.70111752e-17 79.0 +1.13242812e+115 +1.13242812e+115 -9.16693681e-17 80.0 +8.94618213e+116 +8.94618213e+116 +4.76755207e-17 81.0 +7.15694570e+118 +7.15694570e+118 +4.76755207e-17 82.0 +5.79712602e+120 +5.79712602e+120 -2.49198543e-17 83.0 +4.75364334e+122 +4.75364334e+122 +5.70673616e-17 84.0 +3.94552397e+124 +3.94552397e+124 +3.47612176e-17 85.0 +3.31424013e+126 +3.31424013e+126 -2.18786960e-17 86.0 +2.81710411e+128 +2.81710411e+128 -5.18210904e-17 87.0 +2.42270954e+130 +2.42270954e+130 +7.20665393e-17 88.0 +2.10775730e+132 +2.10775730e+132 +6.50632079e-17 89.0 +1.85482642e+134 +1.85482642e+134 -1.64632951e-17 90.0 +1.65079552e+136 +1.65079552e+136 -5.07157803e-17 91.0 +1.48571596e+138 +1.48571596e+138 +1.18404713e-17 92.0 +1.35200153e+140 +1.35200153e+140 -3.46082211e-17 93.0 +1.24384141e+142 +1.24384141e+142 +7.42985593e-17 94.0 +1.15677251e+144 +1.15677251e+144 -7.68050085e-18 95.0 +1.08736616e+146 +1.08736616e+146 -4.48223758e-18 96.0 +1.03299785e+148 +1.03299785e+148 +4.09325275e-18 97.0 +9.91677935e+149 +9.91677935e+149 -4.16930225e-17 98.0 +9.61927597e+151 +9.61927597e+151 +5.48995332e-18 99.0 +9.42689045e+153 +9.42689045e+153 +2.52896862e-17 100.0 +9.33262154e+155 +9.33262154e+155 +6.08098885e-18 101.0 +9.33262154e+157 +9.33262154e+157 -1.83745552e-17 102.0 +9.42594776e+159 +9.42594776e+159 +4.89179577e-17 103.0 +9.61446672e+161 +9.61446672e+161 +4.89068598e-17 104.0 +9.90290072e+163 +9.90290072e+163 +6.49385690e-18 105.0 +1.02990167e+166 +1.02990167e+166 +4.62475126e-17 106.0 +1.08139676e+168 +1.08139676e+168 +7.04724002e-17 107.0 +1.14628056e+170 +1.14628056e+170 +1.19937832e-17 108.0 +1.22652020e+172 +1.22652020e+172 +5.34964364e-17 109.0 +1.32464182e+174 +1.32464182e+174 +3.27947503e-17 110.0 +1.44385958e+176 +1.44385958e+176 +5.56273848e-17 111.0 +1.58824554e+178 +1.58824554e+178 -5.77037947e-17 112.0 +1.76295255e+180 +1.76295255e+180 +8.72756625e-17 113.0 +1.97450686e+182 +1.97450686e+182 -6.05169589e-18 114.0 +2.23119275e+184 +2.23119275e+184 -1.15791997e-16 115.0 +2.54355973e+186 +2.54355973e+186 +3.85770469e-17 116.0 +2.92509369e+188 +2.92509369e+188 +1.04661205e-16 117.0 +3.39310868e+190 +3.39310868e+190 -3.38833801e-17 118.0 +3.96993716e+192 +3.96993716e+192 +4.18661614e-17 119.0 +4.68452585e+194 +4.68452585e+194 +5.70379987e-17 120.0 +5.57458576e+196 +5.57458576e+196 -1.04676052e-17 121.0 +6.68950291e+198 +6.68950291e+198 +9.38207574e-18 122.0 +8.09429853e+200 +8.09429853e+200 -1.24429611e-16 123.0 +9.87504420e+202 +9.87504420e+202 -3.08085550e-17 124.0 +1.21463044e+205 +1.21463044e+205 -3.08071557e-17 125.0 +1.50614174e+207 +1.50614174e+207 +3.42969385e-17 126.0 +1.88267718e+209 +1.88267718e+209 +7.00508036e-18 127.0 +2.37217324e+211 +2.37217324e+211 -1.45210417e-17 128.0 +3.01266002e+213 +3.01266002e+213 -3.77999897e-17 129.0 +3.85620482e+215 +3.85620482e+215 -3.77999897e-17 130.0 +4.97450422e+217 +4.97450422e+217 +3.75069666e-18 131.0 +6.46685549e+219 +6.46685549e+219 +7.33864119e-17 132.0 +8.47158069e+221 +8.47158069e+221 +1.42486378e-17 133.0 +1.11824865e+224 +1.11824865e+224 +1.99178124e-17 134.0 +1.48727071e+226 +1.48727071e+226 -1.04479807e-17 135.0 +1.99294275e+228 +1.99294275e+228 -4.21476208e-17 136.0 +2.69047271e+230 +2.69047271e+230 -2.83098088e-17 137.0 +3.65904288e+232 +3.65904288e+232 -9.42862919e-17 138.0 +5.01288875e+234 +5.01288875e+234 -8.10779266e-17 139.0 +6.91778647e+236 +6.91778647e+236 +1.28208190e-17 140.0 +9.61572320e+238 +9.61572320e+238 +3.62997268e-17 141.0 +1.34620125e+241 +1.34620125e+241 +8.44207794e-17 142.0 +1.89814376e+243 +1.89814376e+243 -4.19262601e-17 143.0 +2.69536414e+245 +2.69536414e+245 +2.83884588e-17 144.0 +3.85437072e+247 +3.85437072e+247 +7.99294701e-17 145.0 +5.55029383e+249 +5.55029383e+249 -6.32163088e-17 146.0 +8.04792606e+251 +8.04792606e+251 -2.96925671e-17 147.0 +1.17499720e+254 +1.17499720e+254 +1.24476572e-16 148.0 +1.72724589e+256 +1.72724589e+256 +6.88026673e-18 149.0 +2.55632392e+258 +2.55632392e+258 -7.66228891e-17 150.0 +3.80892264e+260 +3.80892264e+260 +1.63858973e-17 151.0 +5.71338396e+262 +5.71338396e+262 +1.63728259e-17 152.0 +8.62720977e+264 +8.62720977e+264 -5.16661708e-17 153.0 +1.31133589e+267 +1.31133589e+267 -7.35376499e-17 154.0 +2.00634391e+269 +2.00634391e+269 +9.65647936e-17 155.0 +3.08976961e+271 +3.08976961e+271 -3.63046029e-17 156.0 +4.78914290e+273 +4.78914290e+273 +4.21295666e-17 157.0 +7.47106293e+275 +7.47106293e+275 -2.99052093e-17 158.0 +1.17295688e+278 +1.17295688e+278 -9.49691629e-17 159.0 +1.85327187e+280 +1.85327187e+280 -1.13626827e-16 160.0 +2.94670227e+282 +2.94670227e+282 +2.59031498e-17 161.0 +4.71472364e+284 +4.71472364e+284 +6.08681275e-17 162.0 +7.59070505e+286 +7.59070505e+286 +3.47987787e-17 163.0 +1.22969422e+289 +1.22969422e+289 -1.33180511e-17 164.0 +2.00440158e+291 +2.00440158e+291 +2.44927737e-17 165.0 +3.28721859e+293 +3.28721859e+293 -9.68981062e-17 166.0 +5.42391067e+295 +5.42391067e+295 -1.84655363e-17 167.0 +9.00369171e+297 +9.00369171e+297 +1.98456772e-17 168.0 +1.50361651e+300 +1.50361651e+300 +7.01157338e-17 169.0 +2.52607574e+302 +2.52607574e+302 +1.36129196e-17 170.0 +4.26906801e+304 +4.26906801e+304 +7.51264225e-17 171.0 +7.25741562e+306 +7.25741562e+306 +9.31572884e-18 Table of Positive Half-Integral Values for the Gamma Function (double) x gamma est Relative Err 0.5 +1.77245385e+00 +1.77245385e+00 +4.32468770e-17 1.5 +8.86226925e-01 +8.86226925e-01 +4.32468770e-17 2.5 +1.32934039e+00 +1.32934039e+00 +1.46806937e-18 3.5 +3.32335097e+00 +3.32335097e+00 +1.50069314e-18 4.5 +1.16317284e+01 +1.16317284e+01 -7.48668775e-17 5.5 +5.23427778e+01 +5.23427778e+01 -2.39282362e-17 6.5 +2.87885278e+02 +2.87885278e+02 +9.94971131e-17 7.5 +1.87125431e+03 +1.87125431e+03 +5.38720207e-17 8.5 +1.40344073e+04 +1.40344073e+04 +2.95544595e-17 9.5 +1.19292462e+05 +1.19292462e+05 +2.19787793e-17 10.5 +1.13327839e+06 +1.13327839e+06 +3.48099223e-17 11.5 +1.18994231e+07 +1.18994231e+07 +1.52099345e-17 12.5 +1.36843365e+08 +1.36843365e+08 +2.20123675e-17 13.5 +1.71054207e+09 +1.71054207e+09 -3.02175573e-17 14.5 +2.30923179e+10 +2.30923179e+10 +4.71865759e-17 15.5 +3.34838610e+11 +3.34838610e+11 +1.60209064e-18 16.5 +5.18999845e+12 +5.18999845e+12 -1.59864528e-17 17.5 +8.56349745e+13 +8.56349745e+13 -1.60365671e-17 18.5 +1.49861205e+15 +1.49861205e+15 -7.86046337e-17 19.5 +2.77243230e+16 +2.77243230e+16 +6.57280477e-17 20.5 +5.40624298e+17 +5.40624298e+17 +2.87283610e-17 21.5 +1.10827981e+19 +1.10827981e+19 +6.62287621e-17 22.5 +2.38280159e+20 +2.38280159e+20 -3.68641687e-17 23.5 +5.36130359e+21 +5.36130359e+21 -8.27022743e-17 24.5 +1.25990634e+23 +1.25990634e+23 -3.64115954e-18 25.5 +3.08677054e+24 +3.08677054e+24 -5.52861775e-17 26.5 +7.87126488e+25 +7.87126488e+25 +9.47430004e-17 27.5 +2.08588519e+27 +2.08588519e+27 -3.69987734e-17 28.5 +5.73618428e+28 +5.73618428e+28 -1.06322483e-17 29.5 +1.63481252e+30 +1.63481252e+30 +3.77475028e-17 30.5 +4.82269693e+31 +4.82269693e+31 +8.57230669e-18 31.5 +1.47092256e+33 +1.47092256e+33 +3.31051900e-17 32.5 +4.63340608e+34 +4.63340608e+34 +5.05432023e-18 33.5 +1.50585698e+36 +1.50585698e+36 +6.63222517e-17 34.5 +5.04462087e+37 +5.04462087e+37 -9.16007270e-17 35.5 +1.74039420e+39 +1.74039420e+39 -7.54661317e-18 36.5 +6.17839941e+40 +6.17839941e+40 -4.17326872e-17 37.5 +2.25511578e+42 +2.25511578e+42 +3.75927142e-17 38.5 +8.45668419e+43 +8.45668419e+43 +3.39089409e-17 39.5 +3.25582341e+45 +3.25582341e+45 -8.46947481e-17 40.5 +1.28605025e+47 +1.28605025e+47 +9.76452030e-17 41.5 +5.20850351e+48 +5.20850351e+48 +5.67686097e-17 42.5 +2.16152895e+50 +2.16152895e+50 -4.08176266e-17 43.5 +9.18649806e+51 +9.18649806e+51 +2.11953599e-18 44.5 +3.99612666e+53 +3.99612666e+53 +3.74207733e-18 45.5 +1.77827636e+55 +1.77827636e+55 +4.92590054e-17 46.5 +8.09115744e+56 +8.09115744e+56 +8.83177686e-18 47.5 +3.76238821e+58 +3.76238821e+58 +1.88121821e-18 48.5 +1.78713440e+60 +1.78713440e+60 +7.21412912e-17 49.5 +8.66760184e+61 +8.66760184e+61 +6.23924680e-18 50.5 +4.29046291e+63 +4.29046291e+63 -1.37220548e-17 51.5 +2.16668377e+65 +2.16668377e+65 -2.71921475e-17 52.5 +1.11584214e+67 +1.11584214e+67 +3.98171463e-17 53.5 +5.85817125e+68 +5.85817125e+68 -3.59252448e-18 54.5 +3.13412162e+70 +3.13412162e+70 +7.88848240e-17 55.5 +1.70809628e+72 +1.70809628e+72 -2.51214616e-17 56.5 +9.47993436e+73 +9.47993436e+73 -3.54998261e-17 57.5 +5.35616291e+75 +5.35616291e+75 -5.77912928e-17 58.5 +3.07979367e+77 +3.07979367e+77 -6.84820610e-18 59.5 +1.80167930e+79 +1.80167930e+79 -4.53982829e-17 60.5 +1.07199918e+81 +1.07199918e+81 +6.71556709e-19 61.5 +6.48559506e+82 +6.48559506e+82 -7.89566745e-17 62.5 +3.98864096e+84 +3.98864096e+84 -4.34066162e-17 63.5 +2.49290060e+86 +2.49290060e+86 -3.48233011e-17 64.5 +1.58299188e+88 +1.58299188e+88 -3.12825546e-17 65.5 +1.02102976e+90 +1.02102976e+90 -3.55825012e-17 66.5 +6.68774495e+91 +6.68774495e+91 +5.73824488e-17 67.5 +4.44735039e+93 +4.44735039e+93 -1.42385450e-17 68.5 +3.00196152e+95 +3.00196152e+95 +4.89866218e-17 69.5 +2.05634364e+97 +2.05634364e+97 -2.30644523e-17 70.5 +1.42915883e+99 +1.42915883e+99 -2.83742543e-17 71.5 +1.00755697e+101 +1.00755697e+101 +3.06537504e-17 72.5 +7.20403236e+102 +7.20403236e+102 -7.17980662e-17 73.5 +5.22292346e+104 +5.22292346e+104 +4.53482026e-17 74.5 +3.83884875e+106 +3.83884875e+106 -1.77224536e-17 75.5 +2.85994232e+108 +2.85994232e+108 -6.61515847e-17 76.5 +2.15925645e+110 +2.15925645e+110 -4.92075856e-17 77.5 +1.65183118e+112 +1.65183118e+112 +5.28479880e-17 78.5 +1.28016917e+114 +1.28016917e+114 +1.69980410e-17 79.5 +1.00493280e+116 +1.00493280e+116 +2.37206064e-17 80.5 +7.98921573e+117 +7.98921573e+117 +8.50757053e-17 81.5 +6.43131866e+119 +6.43131866e+119 -2.37793490e-17 82.5 +5.24152471e+121 +5.24152471e+121 +4.73457116e-17 83.5 +4.32425788e+123 +4.32425788e+123 -5.02534769e-17 84.5 +3.61075533e+125 +3.61075533e+125 +3.67899311e-17 85.5 +3.05108826e+127 +3.05108826e+127 +5.76534746e-17 86.5 +2.60868046e+129 +2.60868046e+129 +2.81751597e-17 87.5 +2.25650860e+131 +2.25650860e+131 -3.79412296e-17 88.5 +1.97444502e+133 +1.97444502e+133 -2.30117516e-17 89.5 +1.74738385e+135 +1.74738385e+135 +4.04982588e-17 90.5 +1.56390854e+137 +1.56390854e+137 -1.31576132e-17 91.5 +1.41533723e+139 +1.41533723e+139 -5.47343027e-17 92.5 +1.29503357e+141 +1.29503357e+141 +2.79473948e-17 93.5 +1.19790605e+143 +1.19790605e+143 +1.09838814e-16 94.5 +1.12004215e+145 +1.12004215e+145 -5.19759302e-18 95.5 +1.05843984e+147 +1.05843984e+147 +5.17367398e-17 96.5 +1.01081004e+149 +1.01081004e+149 -2.63329685e-17 97.5 +9.75431692e+150 +9.75431692e+150 +5.86511161e-17 98.5 +9.51045900e+152 +9.51045900e+152 +3.80215366e-17 99.5 +9.36780211e+154 +9.36780211e+154 -1.96145080e-17 100.5 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-3.28027613e-17 118.5 +4.30788975e+193 +4.30788975e+193 +6.34762048e-17 119.5 +5.10484935e+195 +5.10484935e+195 +3.33398623e-17 120.5 +6.10029497e+197 +6.10029497e+197 +1.29666091e-17 121.5 +7.35085544e+199 +7.35085544e+199 +1.92492536e-17 122.5 +8.93128936e+201 +8.93128936e+201 -1.59377864e-17 123.5 +1.09408295e+204 +1.09408295e+204 -7.11496184e-17 124.5 +1.35119244e+206 +1.35119244e+206 +3.09137249e-17 125.5 +1.68223459e+208 +1.68223459e+208 +2.97963614e-17 126.5 +2.11120441e+210 +2.11120441e+210 -6.88838059e-18 127.5 +2.67067358e+212 +2.67067358e+212 +1.29834470e-18 128.5 +3.40510881e+214 +3.40510881e+214 +4.02693197e-17 129.5 +4.37556482e+216 +4.37556482e+216 -3.62858712e-17 130.5 +5.66635644e+218 +5.66635644e+218 +3.28936598e-17 131.5 +7.39459515e+220 +7.39459515e+220 -4.45196730e-17 132.5 +9.72389263e+222 +9.72389263e+222 +4.01104278e-17 133.5 +1.28841577e+225 +1.28841577e+225 -2.71611085e-17 134.5 +1.72003506e+227 +1.72003506e+227 +5.59666479e-17 135.5 +2.31344715e+229 +2.31344715e+229 +4.32575628e-17 136.5 +3.13472089e+231 +3.13472089e+231 +5.31597903e-17 137.5 +4.27889402e+233 +4.27889402e+233 +9.81883574e-17 138.5 +5.88347927e+235 +5.88347927e+235 +2.69994637e-17 139.5 +8.14861879e+237 +8.14861879e+237 +2.28731919e-17 140.5 +1.13673232e+240 +1.13673232e+240 +2.91759276e-17 141.5 +1.59710891e+242 +1.59710891e+242 -6.81525135e-17 142.5 +2.25990911e+244 +2.25990911e+244 +4.82195994e-17 143.5 +3.22037048e+246 +3.22037048e+246 +3.40737124e-17 144.5 +4.62123164e+248 +4.62123164e+248 -1.06140251e-16 145.5 +6.67767972e+250 +6.67767972e+250 -6.37962559e-17 146.5 +9.71602400e+252 +9.71602400e+252 +4.55693934e-17 147.5 +1.42339752e+255 +1.42339752e+255 -2.48038943e-17 148.5 +2.09951134e+257 +2.09951134e+257 -3.96998001e-18 149.5 +3.11777433e+259 +3.11777433e+259 -6.08462930e-17 150.5 +4.66107263e+261 +4.66107263e+261 +6.80267071e-17 151.5 +7.01491430e+263 +7.01491430e+263 +4.93688900e-17 152.5 +1.06275952e+266 +1.06275952e+266 +6.71060403e-18 153.5 +1.62070826e+268 +1.62070826e+268 +4.96985911e-18 154.5 +2.48778718e+270 +2.48778718e+270 -2.04449535e-17 155.5 +3.84363120e+272 +3.84363120e+272 +3.35712348e-18 156.5 +5.97684652e+274 +5.97684652e+274 +2.89531047e-17 157.5 +9.35376480e+276 +9.35376480e+276 -3.63683084e-17 158.5 +1.47321796e+279 +1.47321796e+279 -3.63193868e-17 159.5 +2.33505046e+281 +2.33505046e+281 -3.74216503e-17 160.5 +3.72440548e+283 +3.72440548e+283 +5.95212332e-17 161.5 +5.97767080e+285 +5.97767080e+285 +7.81938077e-17 162.5 +9.65393834e+287 +9.65393834e+287 +4.69935598e-17 163.5 +1.56876498e+290 +1.56876498e+290 +7.75890981e-18 164.5 +2.56493074e+292 +2.56493074e+292 +5.90552429e-17 165.5 +4.21931107e+294 +4.21931107e+294 -2.60612351e-17 166.5 +6.98295983e+296 +6.98295983e+296 -4.79279058e-17 167.5 +1.16266281e+299 +1.16266281e+299 -2.04523623e-17 168.5 +1.94746021e+301 +1.94746021e+301 +4.06241658e-17 169.5 +3.28147045e+303 +3.28147045e+303 -4.09652717e-17 170.5 +5.56209241e+305 +5.56209241e+305 +4.82510522e-17 171.5 +9.48336757e+307 +1.79769313e+308 +8.95627394e-01 Table of Positive Integral Values for the Gamma Function (long double) x gamma est Relative Err 1.0 +1.00000000e+00 +1.00000000e+00 -1.62630326e-19 2.0 +1.00000000e+00 +1.00000000e+00 -1.62630326e-19 3.0 +2.00000000e+00 +2.00000000e+00 -4.87890978e-19 4.0 +6.00000000e+00 +6.00000000e+00 -9.39641883e-19 5.0 +2.40000000e+01 +2.40000000e+01 -7.22801448e-20 6.0 +1.20000000e+02 +1.20000000e+02 -1.96601994e-18 7.0 +7.20000000e+02 +7.20000000e+02 -3.70074342e-18 8.0 +5.04000000e+03 +5.04000000e+03 +6.16790569e-19 9.0 +4.03200000e+04 +4.03200000e+04 -8.81129385e-19 10.0 +3.62880000e+05 +3.62880000e+05 -2.42800097e-18 11.0 +3.62880000e+06 +3.62880000e+06 -9.39871344e-19 12.0 +3.99168000e+07 +3.99168000e+07 -9.11390394e-19 13.0 +4.79001600e+08 +4.79001600e+08 -1.17873158e-17 14.0 +6.22702080e+09 +6.22702080e+09 -8.74934778e-18 15.0 +8.71782912e+10 +8.71782912e+10 +1.36741943e-18 16.0 +1.30767437e+12 +1.30767437e+12 -5.37851644e-18 17.0 +2.09227899e+13 +2.09227899e+13 -9.11612956e-18 18.0 +3.55687428e+14 +3.55687428e+14 -2.13639177e-17 19.0 +6.40237371e+15 +6.40237371e+15 -1.01433327e-17 20.0 +1.21645100e+17 +1.21645100e+17 -1.41292168e-18 21.0 +2.43290201e+18 +2.43290201e+18 +1.31530164e-17 22.0 +5.10909422e+19 +5.10909422e+19 -4.54092233e-18 23.0 +1.12400073e+21 +1.12400073e+21 -3.98576254e-18 24.0 +2.58520167e+22 +2.58520167e+22 -1.78245281e-17 25.0 +6.20448402e+23 +6.20448402e+23 -9.18953451e-18 26.0 +1.55112100e+25 +1.55112100e+25 +1.77791086e-17 27.0 +4.03291461e+26 +4.03291461e+26 -3.32805777e-18 28.0 +1.08888695e+28 +1.08888695e+28 -1.17344852e-17 29.0 +3.04888345e+29 +3.04888345e+29 -1.84258182e-17 30.0 +8.84176199e+30 +8.84176199e+30 -1.61660664e-17 31.0 +2.65252860e+32 +2.65252860e+32 -6.03533146e-18 32.0 +8.22283865e+33 +8.22283865e+33 +2.34823815e-17 33.0 +2.63130837e+35 +2.63130837e+35 +6.84617535e-19 34.0 +8.68331762e+36 +8.68331762e+36 +1.08211063e-17 35.0 +2.95232799e+38 +2.95232799e+38 -1.50581688e-17 36.0 +1.03331480e+40 +1.03331480e+40 +3.99884980e-19 37.0 +3.71993327e+41 +3.71993327e+41 -1.26947613e-17 38.0 +1.37637531e+43 +1.37637531e+43 +4.30386718e-18 39.0 +5.23022617e+44 +5.23022617e+44 -3.26927483e-17 40.0 +2.03978821e+46 +2.03978821e+46 -1.09241345e-18 41.0 +8.15915283e+47 +8.15915283e+47 -2.42758544e-18 42.0 +3.34525266e+49 +3.34525266e+49 +9.62508023e-18 43.0 +1.40500612e+51 +1.40500612e+51 +1.80158982e-17 44.0 +6.04152631e+52 +6.04152631e+52 +1.78762401e-17 45.0 +2.65827157e+54 +2.65827157e+54 -1.64386403e-17 46.0 +1.19622221e+56 +1.19622221e+56 -1.35120484e-17 47.0 +5.50262216e+57 +5.50262216e+57 -4.32880270e-18 48.0 +2.58623242e+59 +2.58623242e+59 +9.51547148e-18 49.0 +1.24139156e+61 +1.24139156e+61 +5.61384748e-20 50.0 +6.08281864e+62 +6.08281864e+62 -5.49927916e-18 51.0 +3.04140932e+64 +3.04140932e+64 +1.78323292e-18 52.0 +1.55111875e+66 +1.55111875e+66 -5.47667820e-18 53.0 +8.06581752e+67 +8.06581752e+67 -5.14599375e-18 54.0 +4.27488328e+69 +4.27488328e+69 +8.57711208e-18 55.0 +2.30843697e+71 +2.30843697e+71 -2.28204343e-17 56.0 +1.26964034e+73 +1.26964034e+73 -1.26134764e-17 57.0 +7.10998588e+74 +7.10998588e+74 +7.58705347e-18 58.0 +4.05269195e+76 +4.05269195e+76 -6.81503750e-18 59.0 +2.35056133e+78 +2.35056133e+78 +1.96546536e-18 60.0 +1.38683119e+80 +1.38683119e+80 -2.57697566e-17 61.0 +8.32098711e+81 +8.32098711e+81 -2.76854939e-18 62.0 +5.07580214e+83 +5.07580214e+83 -9.33656001e-18 63.0 +3.14699733e+85 +3.14699733e+85 +7.38893351e-18 64.0 +1.98260832e+87 +1.98260832e+87 +6.85350355e-18 65.0 +1.26886932e+89 +1.26886932e+89 -1.64266514e-17 66.0 +8.24765059e+90 +8.24765059e+90 +2.99914001e-18 67.0 +5.44344939e+92 +5.44344939e+92 +1.46451512e-17 68.0 +3.64711109e+94 +3.64711109e+94 -2.25219389e-17 69.0 +2.48003554e+96 +2.48003554e+96 +7.75048844e-18 70.0 +1.71122452e+98 +1.71122452e+98 -1.97477086e-17 71.0 +1.19785717e+100 +1.19785717e+100 -6.33510453e-18 72.0 +8.50478589e+101 +8.50478589e+101 +1.87733238e-17 73.0 +6.12344584e+103 +6.12344584e+103 +5.77396694e-18 74.0 +4.47011546e+105 +4.47011546e+105 -5.67401117e-18 75.0 +3.30788544e+107 +3.30788544e+107 -3.30999019e-17 76.0 +2.48091408e+109 +2.48091408e+109 +2.45503769e-17 77.0 +1.88549470e+111 +1.88549470e+111 +2.45460554e-17 78.0 +1.45183092e+113 +1.45183092e+113 +2.39650677e-17 79.0 +1.13242812e+115 +1.13242812e+115 +3.20654168e-18 80.0 +8.94618213e+116 +8.94618213e+116 -5.27181238e-18 81.0 +7.15694570e+118 +7.15694570e+118 +1.49138808e-17 82.0 +5.79712602e+120 +5.79712602e+120 +1.38121673e-17 83.0 +4.75364334e+122 +4.75364334e+122 -1.70372836e-17 84.0 +3.94552397e+124 +3.94552397e+124 -9.30066023e-18 85.0 +3.31424013e+126 +3.31424013e+126 -1.32866575e-18 86.0 +2.81710411e+128 +2.81710411e+128 +9.60390864e-18 87.0 +2.42270954e+130 +2.42270954e+130 +2.28309973e-18 88.0 +2.10775730e+132 +2.10775730e+132 +3.13997524e-18 89.0 +1.85482642e+134 +1.85482642e+134 +3.92994787e-18 90.0 +1.65079552e+136 +1.65079552e+136 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-6.42230181e-17 1743.0 +2.42396185e+4891 +2.42396185e+4891 -2.99818617e-16 1744.0 +4.22496550e+4894 +4.22496550e+4894 -3.48765491e-16 1745.0 +7.36833983e+4897 +7.36833983e+4897 +2.19066696e-16 1746.0 +1.28577530e+4901 +1.28577530e+4901 +2.63634239e-16 1747.0 +2.24496367e+4904 +2.24496367e+4904 +3.13295442e-17 1748.0 +3.92195154e+4907 +3.92195154e+4907 -2.76816373e-17 1749.0 +6.85557129e+4910 +6.85557129e+4910 -1.67581148e-16 1750.0 +1.19903942e+4914 +1.19903942e+4914 -1.31566446e-16 1751.0 +2.09831898e+4917 +2.09831898e+4917 +1.57628493e-16 1752.0 +3.67415654e+4920 +3.67415654e+4920 +1.28167856e-16 1753.0 +6.43712226e+4923 +6.43712226e+4923 -3.01584461e-16 1754.0 +1.12842753e+4927 +1.12842753e+4927 -2.82915328e-16 1755.0 +1.97926189e+4930 +1.97926189e+4930 +2.14454104e-16 Table of Positive Half-Integral Values for the Gamma Function (long double) x gamma est Relative Err 0.5 +1.77245385e+00 +1.77245385e+00 -4.28186901e-19 1.5 +8.86226925e-01 +8.86226925e-01 -4.28186901e-19 2.5 +1.32934039e+00 +1.32934039e+00 -6.52475277e-19 3.5 +3.32335097e+00 +3.32335097e+00 -1.63118819e-18 4.5 +1.16317284e+01 +1.16317284e+01 +5.21980222e-19 5.5 +5.23427778e+01 +5.23427778e+01 -3.57929295e-18 6.5 +2.87885278e+02 +2.87885278e+02 +8.67707381e-19 7.5 +1.87125431e+03 +1.87125431e+03 -3.08518180e-18 8.5 +1.40344073e+04 +1.40344073e+04 -6.89815008e-18 9.5 +1.19292462e+05 +1.19292462e+05 +1.84645571e-18 10.5 +1.13327839e+06 +1.13327839e+06 -7.12249131e-18 11.5 +1.18994231e+07 +1.18994231e+07 -8.78966064e-18 12.5 +1.36843365e+08 +1.36843365e+08 +1.06339940e-18 13.5 +1.71054207e+09 +1.71054207e+09 -2.45007221e-18 14.5 +2.30923179e+10 +2.30923179e+10 -9.75995843e-18 15.5 +3.34838610e+11 +3.34838610e+11 +1.11256294e-17 16.5 +5.18999845e+12 +5.18999845e+12 +5.05318912e-18 17.5 +8.56349745e+13 +8.56349745e+13 -1.16710572e-17 18.5 +1.49861205e+15 +1.49861205e+15 -1.04263141e-17 19.5 +2.77243230e+16 +2.77243230e+16 +1.44418540e-17 20.5 +5.40624298e+17 +5.40624298e+17 +7.45665708e-18 21.5 +1.10827981e+19 +1.10827981e+19 -1.44367874e-18 22.5 +2.38280159e+20 +2.38280159e+20 -2.61876608e-17 23.5 +5.36130359e+21 +5.36130359e+21 +1.06004070e-17 24.5 +1.25990634e+23 +1.25990634e+23 +3.90124236e-18 25.5 +3.08677054e+24 +3.08677054e+24 -1.12101005e-17 26.5 +7.87126488e+25 +7.87126488e+25 -9.05866708e-18 27.5 +2.08588519e+27 +2.08588519e+27 +8.94405131e-18 28.5 +5.73618428e+28 +5.73618428e+28 +1.25789980e-17 29.5 +1.63481252e+30 +1.63481252e+30 -3.26192229e-17 30.5 +4.82269693e+31 +4.82269693e+31 -5.74526938e-18 31.5 +1.47092256e+33 +1.47092256e+33 -1.53087584e-17 32.5 +4.63340608e+34 +4.63340608e+34 -1.70097315e-17 33.5 +1.50585698e+36 +1.50585698e+36 -2.46914011e-17 34.5 +5.04462087e+37 +5.04462087e+37 -1.45354447e-17 35.5 +1.74039420e+39 +1.74039420e+39 -1.03447956e-17 36.5 +6.17839941e+40 +6.17839941e+40 -1.71211024e-17 37.5 +2.25511578e+42 +2.25511578e+42 +1.34020371e-19 38.5 +8.45668419e+43 +8.45668419e+43 +0.00000000e+00 39.5 +3.25582341e+45 +3.25582341e+45 +7.60446672e-19 40.5 +1.28605025e+47 +1.28605025e+47 +3.01868451e-17 41.5 +5.20850351e+48 +5.20850351e+48 -3.83325017e-18 42.5 +2.16152895e+50 +2.16152895e+50 -4.87934847e-18 43.5 +9.18649806e+51 +9.18649806e+51 +2.82604798e-18 44.5 +3.99612666e+53 +3.99612666e+53 +4.15786370e-18 45.5 +1.77827636e+55 +1.77827636e+55 +2.16769523e-18 46.5 +8.09115744e+56 +8.09115744e+56 -1.77686939e-17 47.5 +3.76238821e+58 +3.76238821e+58 -2.46005459e-18 48.5 +1.78713440e+60 +1.78713440e+60 +7.50659381e-18 49.5 +8.66760184e+61 +8.66760184e+61 -1.94252839e-17 50.5 +4.29046291e+63 +4.29046291e+63 +1.64664658e-17 51.5 +2.16668377e+65 +2.16668377e+65 -1.46500330e-17 52.5 +1.11584214e+67 +1.11584214e+67 +2.42308291e-18 53.5 +5.85817125e+68 +5.85817125e+68 +3.99169386e-18 54.5 +3.13412162e+70 +3.13412162e+70 -9.93222966e-18 55.5 +1.70809628e+72 +1.70809628e+72 -5.60746911e-20 56.5 +9.47993436e+73 +9.47993436e+73 +4.91436572e-18 57.5 +5.35616291e+75 +5.35616291e+75 +1.69931305e-17 58.5 +3.07979367e+77 +3.07979367e+77 -1.55715163e-17 59.5 +1.80167930e+79 +1.80167930e+79 +9.36506817e-18 60.5 +1.07199918e+81 +1.07199918e+81 -5.56432702e-18 61.5 +6.48559506e+82 +6.48559506e+82 -1.37007083e-17 62.5 +3.98864096e+84 +3.98864096e+84 -2.11224410e-17 63.5 +2.49290060e+86 +2.49290060e+86 +7.67842975e-18 64.5 +1.58299188e+88 +1.58299188e+88 -1.27528184e-17 65.5 +1.02102976e+90 +1.02102976e+90 -4.10983296e-18 66.5 +6.68774495e+91 +6.68774495e+91 -1.47947382e-17 67.5 +4.44735039e+93 +4.44735039e+93 -1.00686854e-17 68.5 +3.00196152e+95 +3.00196152e+95 -2.70005002e-18 69.5 +2.05634364e+97 +2.05634364e+97 -5.40573101e-19 70.5 +1.42915883e+99 +1.42915883e+99 +1.98287917e-17 71.5 +1.00755697e+101 +1.00755697e+101 +4.29303138e-18 72.5 +7.20403236e+102 +7.20403236e+102 -1.26067966e-17 73.5 +5.22292346e+104 +5.22292346e+104 -7.49852169e-18 74.5 +3.83884875e+106 +3.83884875e+106 -7.25480556e-19 75.5 +2.85994232e+108 +2.85994232e+108 +7.12264707e-18 76.5 +2.15925645e+110 +2.15925645e+110 -3.01887028e-19 77.5 +1.65183118e+112 +1.65183118e+112 +8.90270766e-18 78.5 +1.28016917e+114 +1.28016917e+114 -6.15266513e-18 79.5 +1.00493280e+116 +1.00493280e+116 +2.21052246e-18 80.5 +7.98921573e+117 +7.98921573e+117 +1.87536148e-17 81.5 +6.43131866e+119 +6.43131866e+119 +4.89734876e-18 82.5 +5.24152471e+121 +5.24152471e+121 -7.09331059e-18 83.5 +4.32425788e+123 +4.32425788e+123 -1.92262643e-18 84.5 +3.61075533e+125 +3.61075533e+125 +1.83949655e-17 85.5 +3.05108826e+127 +3.05108826e+127 +2.62481106e-17 86.5 +2.60868046e+129 +2.60868046e+129 -4.14848978e-18 87.5 +2.25650860e+131 +2.25650860e+131 -7.24720115e-18 88.5 +1.97444502e+133 +1.97444502e+133 +1.07263449e-17 89.5 +1.74738385e+135 +1.74738385e+135 +5.41179404e-18 90.5 +1.56390854e+137 +1.56390854e+137 +9.73921371e-18 91.5 +1.41533723e+139 +1.41533723e+139 +9.48727913e-18 92.5 +1.29503357e+141 +1.29503357e+141 -7.27397946e-18 93.5 +1.19790605e+143 +1.19790605e+143 +2.46342678e-17 94.5 +1.12004215e+145 +1.12004215e+145 -3.62622769e-18 95.5 +1.05843984e+147 +1.05843984e+147 +1.02327413e-17 96.5 +1.01081004e+149 +1.01081004e+149 +3.18190036e-18 97.5 +9.75431692e+150 +9.75431692e+150 -3.34733417e-18 98.5 +9.51045900e+152 +9.51045900e+152 +2.86594497e-18 99.5 +9.36780211e+154 +9.36780211e+154 +1.09245361e-17 100.5 +9.32096310e+156 +9.32096310e+156 -4.79102543e-19 101.5 +9.36756792e+158 +9.36756792e+158 -6.40710266e-18 102.5 +9.50808144e+160 +9.50808144e+160 +4.16819877e-18 103.5 +9.74578347e+162 +9.74578347e+162 +3.20317864e-19 104.5 +1.00868859e+165 +1.00868859e+165 -1.58456760e-18 105.5 +1.05407958e+167 +1.05407958e+167 +1.04930218e-17 106.5 +1.11205395e+169 +1.11205395e+169 +5.59275217e-18 107.5 +1.18433746e+171 +1.18433746e+171 +2.65334425e-19 108.5 +1.27316277e+173 +1.27316277e+173 +2.31684260e-18 109.5 +1.38138160e+175 +1.38138160e+175 -4.22408840e-18 110.5 +1.51261286e+177 +1.51261286e+177 -2.06949698e-17 111.5 +1.67143721e+179 +1.67143721e+179 +7.14967916e-18 112.5 +1.86365249e+181 +1.86365249e+181 +1.23598358e-17 113.5 +2.09660905e+183 +2.09660905e+183 +9.83293600e-18 114.5 +2.37965127e+185 +2.37965127e+185 +2.42226161e-17 115.5 +2.72470070e+187 +2.72470070e+187 +8.58757331e-18 116.5 +3.14702931e+189 +3.14702931e+189 +6.60047529e-18 117.5 +3.66628915e+191 +3.66628915e+191 +1.18899469e-17 118.5 +4.30788975e+193 +4.30788975e+193 -1.19419777e-18 119.5 +5.10484935e+195 +5.10484935e+195 +3.96903123e-18 120.5 +6.10029497e+197 +6.10029497e+197 +1.92373463e-17 121.5 +7.35085544e+199 +7.35085544e+199 -8.97545844e-18 122.5 +8.93128936e+201 +8.93128936e+201 -7.67154643e-18 123.5 +1.09408295e+204 +1.09408295e+204 -7.82956500e-18 124.5 +1.35119244e+206 +1.35119244e+206 -9.85374982e-18 125.5 +1.68223459e+208 +1.68223459e+208 +9.20376496e-18 126.5 +2.11120441e+210 +2.11120441e+210 -4.72732002e-18 127.5 +2.67067358e+212 +2.67067358e+212 +1.07967612e-17 128.5 +3.40510881e+214 +3.40510881e+214 -1.01530823e-17 129.5 +4.37556482e+216 +4.37556482e+216 -3.89509352e-18 130.5 +5.66635644e+218 +5.66635644e+218 -5.20084559e-18 131.5 +7.39459515e+220 +7.39459515e+220 -5.43246010e-18 132.5 +9.72389263e+222 +9.72389263e+222 +1.15430331e-17 133.5 +1.28841577e+225 +1.28841577e+225 +1.02788599e-17 134.5 +1.72003506e+227 +1.72003506e+227 +7.82457938e-18 135.5 +2.31344715e+229 +2.31344715e+229 +7.67381207e-18 136.5 +3.13472089e+231 +3.13472089e+231 +2.57744438e-18 137.5 +4.27889402e+233 +4.27889402e+233 +8.05648060e-19 138.5 +5.88347927e+235 +5.88347927e+235 +1.64996723e-17 139.5 +8.14861879e+237 +8.14861879e+237 +1.27362091e-17 140.5 +1.13673232e+240 +1.13673232e+240 -4.21341734e-18 141.5 +1.59710891e+242 +1.59710891e+242 -2.02791751e-18 142.5 +2.25990911e+244 +2.25990911e+244 +9.17220641e-18 143.5 +3.22037048e+246 +3.22037048e+246 +8.53314040e-18 144.5 +4.62123164e+248 +4.62123164e+248 -2.72962069e-18 145.5 +6.67767972e+250 +6.67767972e+250 -6.13783220e-18 146.5 +9.71602400e+252 +9.71602400e+252 -8.99934160e-19 147.5 +1.42339752e+255 +1.42339752e+255 -8.14882983e-18 148.5 +2.09951134e+257 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