High Derivatives of Normal Density Function

Normal Density High Derivatives

This table list the normal density function and its higher derivatives (from seventh derivative). For lower derivative, see Derivatives of Normal Density Function

How To Use:

You need to find the value of ninth derivative of the Normal Density Function at Z = 0.10
Find the row with Z = 0.10
Find the column φ⁽⁹⁾(x), the number inside the cell is 37.0133546.
See How To Read Numbers in Tables.
The result is -37.0133546

Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
0.00	0	41.8889394	0	377.000455	0	4147.00500	0
0.02	.837276232	41.8135670	7.53448120	376.171413	82.8682402	4136.22818	1077.14345
0.04	1.67153978	41.5877811	15.0358295	373.688597	165.305838	4103.96233	2147.82855
0.06	2.49979119	41.2125745	22.4710840	369.564906	246.884734	4050.40088	3205.64087
0.08	3.31905747	40.6895959	29.8076274	363.821753	327.182014	3975.86473	4244.25335
0.10	4.12640505	40.0211417	37.0133546	356.488940	405.782440	3880.80009	5257.46929
0.12	4.91895270	39.2101436	44.0568389	347.604471	482.280925	3765.77548	6239.26416
0.14	5.69388405	38.2601539	50.9074939	337.214336	556.284946	3631.47780	7183.82625
0.16	6.44845981	37.1753269	57.5357308	325.372225	627.416864	3478.70777	8085.59561
0.18	7.18002965	35.9603973	63.9131087	312.139216	695.316146	3308.37447	8939.30116
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
0.20	7.88604351	34.6206562	70.0124793	297.583410	759.641475	3121.48921	9739.99555
0.22	8.56406251	33.1619233	75.8081232	281.779523	820.072727	2919.15875	10483.0877
0.24	9.21176919	31.5905176	81.2758777	264.808448	876.312805	2702.57785	11164.3723
0.26	9.82697720	29.9132245	86.3932560	246.756774	928.089321	2473.02129	11780.0574
0.28	10.4076403	28.1372616	91.1395555	227.716279	975.156113	2231.83536	12326.7873
0.30	10.9518605	26.2702420	95.4959569	207.783391	1017.29459	1980.42892	12801.6637
0.32	11.4578960	24.3201354	99.4456112	187.058623	1054.31487	1720.26410	13202.2630
0.34	11.9241672	22.2952284	102.973715	165.645992	1086.05679	1452.84660	13526.6493
0.36	12.3492635	20.2040823	106.067577	143.652412	1112.39064	1179.71591	13773.3854
0.38	12.7319475	18.0554909	108.716667	121.187085	1133.21776	902.435185	13941.5385
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
0.40	13.0711600	15.8584368	110.912655	98.3608690	1148.47089	622.581202	14030.6832
0.42	13.3660227	13.6220466	112.649441	75.2856538	1158.11439	341.734149	14040.9010
0.44	13.6158411	11.3555467	113.923169	52.0737255	1162.14413	61.4675616	13972.7753
0.46	13.8201057	9.06821810	114.732226	28.8371389	1160.58734	216.661651	13827.3838
0.48	13.9784929	6.76935178	115.077232	5.68709460	1153.50213	491.122981	13606.2865
0.50	14.0908646	4.46820409	114.961019	17.2666726	1140.97685	760.421825	13311.5113
0.52	14.1572671	2.17395293	114.388592	39.9164916	1123.12935	1023.10867	12945.5357
0.54	14.1779291	.104345279	113.367086	62.1573342	1100.10590	1277.78786	12511.2654
0.56	14.1532590	2.35779758	111.905705	83.8873731	1072.08012	1523.12597	12012.0109
0.58	14.0838408	4.57771524	110.015652	105.008515	1039.25158	1757.85958	11451.4604
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
0.60	13.9704303	6.75565293	107.710050	125.426907	1001.84436	1980.80259	10833.6508
0.62	13.8139491	8.88344625	105.003856	145.053407	960.105447	2190.85285	10162.9366
0.64	13.6154791	10.9532474	101.913755	163.804030	914.302967	2386.99823	9443.95674
0.66	13.3762559	12.9575588	98.4580581	181.600348	864.724351	2568.32189	8681.59976
0.68	13.0976609	14.8892643	94.6565875	198.369858	811.674372	2734.00701	7880.96769
0.70	12.7812141	16.7416583	90.5305522	214.046311	755.473105	2883.34059	7047.33884
0.72	12.4285652	18.5084721	86.1024217	228.569993	696.453822	3015.71667	6186.12986
0.74	12.0414846	20.1838982	81.3957921	241.887970	634.960823	3130.63868	5302.85725
0.76	11.6218541	21.7626109	76.4352489	253.954287	571.347231	3227.72105	4403.09877
0.78	11.1716572	23.2397848	71.2462255	264.730119	505.972762	3306.69007	3492.45489
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
0.80	10.6929685	24.6111108	65.8548595	274.183885	439.201487	3367.38393	2576.51070
0.82	10.1879437	25.8728082	60.2878473	282.291308	371.399600	3409.75206	1660.79851
0.84	9.65880879	27.0216344	54.5722974	289.035440	302.933205	3433.85373	750.761329
0.86	9.10784895	28.0548923	48.7355843	294.406633	234.166138	3439.85584	148.282363
0.88	8.53739800	28.9704333	42.8052027	298.402478	165.457846	3428.03017	1031.17240
0.90	7.94982718	29.7666591	36.8086242	301.027694	97.1613178	3398.74982	1892.93902
0.92	7.34753420	30.4425191	30.7731560	302.293975	29.6211025	3352.48514	2728.83310
0.94	6.73293235	30.9975062	24.7258030	302.219811	36.8285924	3289.79904	3534.35421
0.96	6.10843969	31.4316492	18.6931343	300.830252	101.865699	3211.34170	4305.27643
0.98	5.47646842	31.7455030	12.7011545	298.156658	165.181981	3117.84490	5037.67177
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
1.00	4.83941449	31.9401356	6.77518029	294.236401	226.484598	3010.11581	5727.93099
1.02	4.19964747	32.0171139	.939723607	289.112543	285.497558	2889.03046	6372.78176
1.04	3.55950075	31.9784856	4.78161900	282.833486	341.963016	2755.52681	6969.30408
1.06	2.92126212	31.8267606	10.3662693	275.452600	395.642449	2610.59761	7514.94285
1.08	2.28716473	31.5648894	15.7927628	267.027821	446.317675	2455.28294	8007.51768
1.10	1.65937849	31.1962399	21.0408360	257.621239	493.791723	2290.66274	8445.22968
1.12	1.04000200	30.7245723	26.0915050	247.298665	537.889555	2117.84902	8826.66556
1.14	.431054943	30.1540136	30.9271359	236.129187	578.458633	1937.97822	9150.79876
1.16	.165528970	29.4890290	35.5315054	224.184714	615.369322	1752.20345	9416.98786
1.18	.747908483	28.7343938	39.8898526	211.539518	648.515158	1561.68682	9624.97234
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
1.20	1.31434070	27.8951637	43.9889221	198.269767	677.812941	1367.59191	9774.86558
1.22	1.86318639	26.9766439	47.8169967	184.453059	703.202699	1171.07636	9867.14555
1.24	2.39291465	25.9843585	51.3639217	170.167964	724.647493	973.284711	9902.64295
1.26	2.90210700	24.9240189	54.6211198	155.493559	742.133083	775.341468	9882.52725
1.28	3.38946079	23.8014922	57.5815964	140.508987	755.667467	578.344496	9808.29056
1.30	3.85379203	22.6227697	60.2399368	125.293009	765.280280	383.358737	9681.72971
1.32	4.29403749	21.3939350	62.5922941	109.923587	771.022075	191.410315	9504.92652
1.34	4.70925631	20.1211334	64.6363693	94.4774662	772.963498	3.48104147	9280.22657
1.36	5.09863089	18.8105410	66.3713828	79.0297881	771.194340	179.496633	9010.21666
1.38	5.46146719	17.4683342	67.7980387	63.6537142	765.822512	356.644211	8697.70114
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
1.40	5.79719449	16.1006611	68.9184815	48.4200762	756.972922	527.141253	8345.67731
1.42	6.10536449	14.7136131	69.7362465	33.3970476	744.786272	690.228983	7957.31011
1.44	6.38564992	13.3131970	70.2562030	18.6498404	729.417800	845.213387	7535.90632
1.46	6.63784259	11.9053097	70.4844928	4.24042741	711.035952	991.467789	7084.88845
1.48	6.86185094	10.4957130	70.4284627	9.77270814	689.821019	1128.43490	6607.76858
1.50	7.05769711	9.09001032	70.0965923	23.3347956	665.963730	1255.62835	6108.12224
1.52	7.22551351	7.69362485	69.4984179	36.3949715	639.663822	1372.63370	5589.56265
1.54	7.36553908	6.31177907	68.6444524	48.9064451	611.128599	1479.10894	5055.71542
1.56	7.47811502	4.94947616	67.5461029	60.8266351	580.571479	1574.78449	4510.19393
1.58	7.56368025	3.61148291	66.2155850	72.1172781	548.210550	1659.46273	3956.57549
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
1.60	7.62276656	2.30231444	64.6658356	82.7445069	514.267145	1733.01701	3398.37852
1.62	7.65599339	1.02622068	62.9104246	92.6789017	478.964425	1795.39029	2839.04084
1.64	7.66406243	.212825452	60.9634657	101.895513	442.526016	1846.59331	2281.89917
1.66	7.64775199	1.41113800	58.8395268	110.373857	405.174667	1886.70237	1730.17007
1.68	7.60791114	2.56532615	56.5535412	118.097885	367.130966	1915.85675	1186.93225
1.70	7.54545377	3.67230069	54.1207190	125.055929	328.612111	1934.25580	655.110471
1.72	7.46135249	4.72927865	51.5564607	131.240620	289.830740	1942.15569	137.461085
1.74	7.35663250	5.73378625	48.8762719	136.648789	250.993826	1939.86594	363.440827
1.76	7.23236534	6.68366019	46.0956808	141.281340	212.301650	1927.74564	845.212534
1.78	7.08966274	7.57704729	43.2301577	145.143106	173.946848	1906.19956	1305.67304
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
1.80	6.92967039	8.41240257	40.2950385	148.242692	136.113539	1875.67399	1742.85071
1.82	6.75356185	9.18848577	37.3054507	150.592292	98.9765350	1836.65251	2154.98914
1.84	6.56253244	9.90435654	34.2762435	152.207497	62.7006406	1789.65164	2540.55134
1.86	6.35779338	10.5593682	31.2219222	153.107089	27.4400368	1735.21645	2898.22215
1.88	6.14056591	11.1531601	28.1565863	153.312823	6.66224475	1673.91603	3226.90908
1.90	5.91207572	11.6856492	25.0938722	152.849200	39.4747581	1606.33916	3525.74150
1.92	5.67354745	12.1570201	22.0469011	151.743231	70.8779922	1533.08979	3794.06831
1.94	5.42619948	12.5677141	19.0282306	150.024194	100.764631	1454.78275	4031.45410
1.96	5.17123888	12.9184178	16.0498122	147.723392	129.039727	1372.03945	4237.67403
1.98	4.90985663	13.2100504	13.1229531	144.873901	155.620793	1285.48374	4412.70732
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
2.00	4.64322312	13.4437507	10.2582836	141.510323	180.437810	1195.73794	4556.72959
2.02	4.37248390	13.6208627	7.46572851	137.668536	203.433157	1103.41892	4670.10410
2.04	4.09875567	13.7429220	4.75448439	133.385447	224.561467	1009.13452	4753.37202
2.06	3.82312266	13.8116407	2.13300149	128.698749	243.789408	913.480058	4807.24182
2.08	3.54663319	13.8288919	.391029728	123.646686	261.095404	817.035103	4832.57786
2.10	3.27029666	13.7966955	2.81068721	118.267816	276.469286	720.360476	4830.38843
2.12	2.99508071	13.7172015	5.11982137	112.600792	289.911892	623.995498	4801.81316
2.14	2.72190884	13.5926755	7.31305478	106.684142	301.434611	528.455492	4748.11009
2.16	2.45165816	13.4254828	9.38577765	100.556066	311.058879	434.229546	4670.64236
2.18	2.18515765	13.2180736	11.3341392	94.2542388	318.815633	341.778547	4570.86483
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
2.20	1.92318654	12.9729672	13.1550355	87.8156267	324.744734	251.533480	4450.31046
2.22	1.66647312	12.6927379	14.8460932	81.2763143	328.894350	163.894001	4310.57688
2.24	1.41569375	12.3800003	16.4056506	74.6713452	331.320320	79.2272818	4153.31295
2.26	1.17147223	12.0373952	17.8327353	68.0345749	332.085492	2.13288816	3980.20558
2.28	.934379372	11.6675762	19.1270388	61.3985375	331.259054	79.8867298	3792.96690
2.30	.704932914	11.2731968	20.2888893	54.7943257	328.915842	153.768854	3593.32174
2.32	.483597627	10.8568976	21.3192214	48.2514846	325.135658	223.548396	3382.99562
2.34	.270785694	10.4212948	22.2195442	41.7979195	320.002574	289.028909	3163.70324
2.36	.066857312	9.96896898	22.9919083	35.4598172	313.604252	350.048044	2937.13763
2.38	.127878487	9.50245458	23.6388698	29.2615811	306.031261	406.477009	2704.95985
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
2.40	.313162818	9.02423012	24.1634548	23.2257795	297.376419	458.219832	2468.78943
2.42	.488785732	8.53670925	24.5691223	17.3731074	287.734143	505.212443	2230.19560
2.44	.654584833	8.04223241	24.8597257	11.7223609	277.199818	547.421586	1990.68914
2.46	.810443740	7.54305932	25.0394758	6.29042329	265.869200	584.843575	1751.71520
2.48	.956290400	7.04136226	25.1129016	1.09226436	253.837832	617.502915	1514.64675
2.50	1.09209528	6.53922007	25.0848125	3.85905049	241.200498	645.450801	1280.77898
2.52	1.21786946	6.03861290	24.9602602	8.55233957	228.050706	668.763515	1051.32442
2.54	1.33366257	5.54141774	24.7445016	12.9782745	214.480199	687.540725	827.408949
2.56	1.43956074	5.04940474	24.4429621	17.1293402	200.578510	701.903727	610.068573
2.58	1.53568440	4.56423411	24.0611992	20.9997870	186.432542	711.993614	400.246974
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
2.60	1.62218607	4.08745390	23.6048687	24.5855735	172.126196	717.969417	198.793865
2.62	1.69924808	3.62049835	23.0796903	27.8843035	157.740028	720.006212	6.46406177
2.64	1.76708032	3.16468693	22.4914161	30.8951560	143.350949	718.293221	176.082720
2.66	1.82591791	2.72122399	21.8457991	33.6188096	129.031957	713.031911	348.281400
2.68	1.87601889	2.29119907	21.1485646	36.0573616	114.851917	704.434116	509.660424
2.70	1.91766198	1.87558770	20.4053827	38.2142439	100.875368	692.720177	659.840060
2.72	1.95114427	1.47525280	19.6218418	40.0941344	87.1623720	678.117130	798.530130
2.74	1.97677898	1.09094651	18.8034253	41.7028666	73.7683979	660.856943	925.527249
2.76	1.99489330	.723312552	17.9554891	43.0473368	60.7442409	641.174810	1040.71158
2.78	2.00582624	.372888984	17.0832413	44.1354099	48.1359733	619.307515	1144.04321
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
2.80	2.00992652	.040111324	16.1917239	44.9758250	35.9849290	595.491876	1235.55810
2.82	2.00755060	.274683945	15.2857960	45.5781003	24.3277174	569.963267	1315.36380
2.84	1.99906068	.571255573	14.3701196	45.9524398	13.1962669	542.954235	1383.63483
2.86	1.98482288	.849453464	13.4491462	46.1096392	2.61789350	514.693207	1440.60785
2.88	1.96520547	1.10921436	12.5271064	46.0609956	7.38460361	485.403294	1486.57673
2.90	1.94057711	1.35055733	11.6080006	45.8182178	16.7928254	455.301203	1521.88739
2.92	1.91130533	1.57357909	10.6955917	45.3933396	25.5926344	424.596243	1546.93264
2.94	1.87775498	1.77844917	9.79339925	44.7986363	33.7739982	393.489445	1562.14695
2.96	1.84028681	1.96540504	8.90469555	44.0465442	41.3308152	362.172773	1568.00119
2.98	1.79925621	2.13474712	8.03250328	43.1495838	48.2607271	330.828456	1564.99752
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
3.00	1.75501197	2.28683378	7.17959443	42.1202873	54.5649176	299.628407	1553.66423
3.02	1.70789517	2.42207632	6.34849083	40.9711292	60.2479019	268.733758	1534.55077
3.04	1.65823816	2.54093399	5.54146594	39.7144624	65.3173063	238.294475	1508.22288
3.06	1.60636370	2.64390906	4.76054787	38.3624580	69.7836428	208.449091	1475.25793
3.08	1.55258409	2.73154192	4.00752358	36.9270499	73.6600779	179.324509	1436.24042
3.10	1.49720048	2.80440635	3.28394418	35.4198841	76.9621990	151.035909	1391.75770
3.12	1.44050228	2.86310484	2.59113111	33.8522727	79.7077796	123.686727	1342.39594
3.14	1.38276656	2.90826408	1.93018325	32.2351521	81.9165451	97.3687214	1288.73633
3.16	1.32425767	2.94053055	1.30198482	30.5790470	83.6099403	72.1621056	1231.35154
3.18	1.26522687	2.96056637	.707213956	28.8940377	84.8109002	48.1357516	1170.80249
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
3.20	1.20591206	2.96904521	.146351841	27.1897328	85.5436264	25.3474558	1107.63538
3.22	1.14653757	2.96664850	.380307590	25.4752460	85.8333681	3.84426099	1042.37894
3.24	1.08731406	2.95406174	.872647572	23.7591775	85.7062108	16.3371706	975.542097
3.26	1.02843846	2.93197109	1.33071808	22.0495989	85.1888731	35.1701387	907.611826
3.28	.970094014	2.90106014	1.75472513	20.3540428	84.3085117	52.6374476	839.051312
3.30	.912450335	2.86200686	2.14501997	18.6794959	83.0925361	68.7309145	770.298415
3.32	.855663556	2.81548088	2.50208807	17.0323955	81.5684338	83.4508495	701.764385
3.34	.799876524	2.76214082	2.82653815	15.4186300	79.7636056	96.8055129	633.832854
3.36	.745219044	2.70263202	3.11909123	13.8435416	77.7052122	108.810555	566.859082
3.38	.691808165	2.63758435	3.38056980	12.3119333	75.4200324	119.488444	501.169450
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
3.40	.639748508	2.56761032	3.61188703	10.8280770	72.9343321	128.867882	437.061186
3.42	.589132634	2.49330334	3.81403635	9.39572574	70.2737456	136.983227	374.802311
3.44	.540041437	2.41523624	3.98808118	8.01812693	67.4631685	143.873903	314.631794
3.46	.492544574	2.33395998	4.13514494	6.69803832	64.5266620	149.583829	256.759896
3.48	.446700908	2.25000250	4.25640145	5.43774548	61.4873688	154.160843	201.368691
3.50	.402558982	2.16386788	4.35306571	4.23908091	58.3674403	157.656151	148.612755
3.52	.360157505	2.07603551	4.42638497	3.10344454	55.1879745	160.123780	98.6199872
3.54	.319525846	1.98695964	4.47763036	2.03182530	51.9689651	161.620058	51.4925752
3.56	.280684546	1.89706888	4.50808885	1.02482364	48.7292606	162.203108	7.30806368
3.58	.243645832	1.80676603	4.51905573	.082674760	45.4865329	161.932366	33.8794735
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
3.60	.208414134	1.71642795	4.51182755	.794727622	42.2572561	160.868126	72.0381797
3.62	.174986604	1.62640562	4.48769551	1.60780718	39.0566931	159.071108	107.157094
3.64	.143353630	1.53702429	4.44793936	2.35728069	35.8988919	156.602054	139.244774
3.66	.113499354	1.44858378	4.39382181	3.04413377	32.7966884	153.521351	168.327884
3.68	.085402170	1.36135888	4.32658333	3.66959671	29.7617174	149.888684	194.449748
3.70	.059035221	1.27559982	4.24743757	4.23512062	26.8044295	145.762716	217.668895
3.72	.034366891	1.19153287	4.15756715	4.74235396	23.9341147	141.200800	238.057601
3.74	.011361268	1.10936097	4.05811990	5.19311966	21.1589315	136.258720	255.700435
3.76	.010021389	1.02926451	3.95020567	5.58939274	18.4859400	130.990455	270.692829
3.78	.029824211	.951402058	3.83489346	5.93327877	15.9211409	125.447979	283.139670
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
3.80	.048093287	.875911244	3.71320902	6.22699309	13.4695165	119.681087	293.153931
3.82	.064877259	.802909631	3.58613287	6.47284086	11.1350766	113.737242	300.855346
3.84	.080226927	.732495639	3.45459867	6.67319814	8.92090583	107.661458	306.369128
3.86	.094194874	.664749490	3.31949202	6.83049381	6.82921416	101.496199	309.824756
3.88	.106835116	.599734185	3.18164957	6.94719265	4.86138819	95.2813053	311.354806
3.90	.118202762	.537496488	3.04185840	7.02577938	3.01804445	89.0539465	311.093858
3.92	.128353706	.478067914	2.90085587	7.06874379	1.29908306	82.8485873	309.177465
3.94	.137344325	.421465733	2.75932959	7.07856697	.296257993	76.6969802	305.741198
3.96	.145231207	.367693957	2.61791773	7.05770859	1.76934874	70.6281735	300.919752
3.98	.152070900	.316744322	2.47720960	7.00859530	3.12211332	64.6685373	294.846138
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
4.00	.157919666	.268597263	2.33774638	6.93361017	4.35697683	58.8418045	287.650940
4.02	.162833277	.223222864	2.20002212	6.83508317	5.47681309	53.1691262	279.461644
4.04	.166866805	.180581788	2.06448486	6.71528276	6.48489370	47.6691398	270.402049
4.06	.170074453	.140626190	1.93153796	6.57640839	7.38483850	42.3580480	260.591737
4.08	.172509387	.103300591	1.80154151	6.42058404	8.18056780	37.2497079	250.145622
4.10	.174223596	.068542728	1.67481396	6.24985266	8.87625636	32.3557282	239.173562
4.12	.175267761	.036284375	1.55163372	6.06617153	9.47628955	27.6855739	227.780039
4.14	.175691146	3z64521218	1.43224095	5.87140845	9.98522146	23.2466762	216.063897
4.16	.175541502	.021031878	1.31683940	5.66733881	10.4077355	19.0445474	204.118143
4.18	.174864983	.046249197	1.20559822	5.45564333	10.7486069	15.0828997	192.029804
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
4.20	.173706082	.069284460	1.09865392	5.23790661	11.0126685	11.3637648	179.879835
4.22	.172107572	.090224712	.996112291	5.01561627	11.2047778	7.88761685	167.743076
4.24	.170110468	.109158822	.898050336	4.79016282	11.3297870	4.65349413	155.688259
4.26	.167753992	.126176929	.804518219	4.56283998	11.3925161	1.65912110	143.778049
4.28	.165075558	.141369923	.715541192	4.33484561	11.3977273	1.09897110	132.069131
4.30	.162110755	.154828964	.631121495	4.10728311	11.3501024	3.62532617	120.612326
4.32	.158893352	.166645043	.551240231	3.88116319	11.2542227	5.92544685	109.452742
4.34	.155455303	.176908579	.475859196	3.65740612	11.1145506	8.00568228	98.6299460
4.36	.151826763	.185709045	.404922666	3.43684423	10.9354142	9.87311929	88.1781699
4.38	.148036107	.193134642	.338359126	3.22022475	10.7209931	11.5354777	78.1265252
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
4.40	.144109965	.199271995	.276082941	3.00821290	10.4753073	13.0010104	68.4992422
4.42	.140073250	.204205890	.217995966	2.80139518	10.2022070	14.2784081	59.3159205
4.44	.135949200	.208019036	.163989082	2.60028285	9.90536504	15.3767094	50.5917907
4.46	.131759423	.210791865	.113943670	2.40531555	9.58827065	16.3052161	42.3379842
4.48	.127523941	.212602350	.067733001	2.21686499	9.25422515	17.0734138	34.5618081
4.50	.123261242	.213525861	.025223561	2.03523877	8.90633887	17.6908984	27.2670236
4.52	.118988335	.213635041	.013723707	1.86068421	8.54752971	18.1673079	20.4541246
4.54	.114720803	.212999705	.049252236	1.69339219	8.18052291	18.5122599	14.1206150
4.56	.110472863	.211686765	.081508745	1.53350101	7.80785207	18.7352943	8.26128290
4.58	.106257423	.209760176	.110642222	1.38110020	7.43186115	18.8458218	2.86846975
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
4.60	.102086140	.207280895	.136802994	1.23623428	7.05470762	18.8530780	2.06766736
4.62	.097969485	.204306869	.160141856	1.09890644	6.67836632	18.7660815	6.55890086
4.64	.093916797	.200893030	.180809284	.969082192	6.30463421	18.5935986	10.6186871
4.66	.089936349	.197091310	.198954716	.846692814	5.93513567	18.3441113	14.2619305
4.68	.086035403	.192950669	.214725905	.731638786	5.57132857	18.0257910	17.5047593
4.70	.082220274	.188517132	.228268328	.623793043	5.21451058	17.6464763	20.3643115
4.72	.078496382	.183833842	.239724676	.523004107	4.86582615	17.2136542	22.8585343
4.74	.074868316	.178941121	.249234389	.429099087	4.52627357	16.7344468	25.0059948
4.76	.071339883	.173876538	.256933260	.341886525	4.19671246	16.2155995	26.8257042
4.78	.067914167	.168674984	.262953088	.261159095	3.87787135	15.6634750	28.3369543
Z	φ⁽⁷⁾(x)	φ⁽⁸⁾(x)	φ⁽⁹⁾(x)	φ⁽¹⁰⁾(x)	φ⁽¹¹⁾(x)	φ⁽¹²⁾(x)	φ⁽¹³⁾(x)
4.80	.064593581	.163368757	.267421389	.186696145	3.57035539	15.0840483	29.5591670
4.82	.061379915	.157987651	.270461155	.118266091	3.27465410	14.4829058	30.5117566
4.84	.058274391	.152559045	.272190652	.055628649	2.99114918	13.8652469	31.2140048
4.86	.055277702	.147108003	.272723273	3z14630830	2.72012215	13.2358875	31.6849477
4.88	.052390067	.141657369	.272167423	.053260702	2.46176201	12.5992663	31.9432755
4.90	.049611266	.136227872	.270626443	.100018719	2.21617270	11.9594521	32.0072431
4.92	.046940686	.130838223	.268198566	.141992939	1.98338040	11.3201539	31.8945924
4.94	.044377359	.125505220	.264976913	.179438967	1.76334063	10.6847314	31.6224853
4.96	.041920000	.120243850	.261049501	.212610872	1.55594509	10.0562072	31.2074468
4.98	.039567039	.115067391	.256499296	.241759973	1.36102829	9.43728059	30.6653179
5.00	.037316660	.109987510	.251404270	.267133762	1.17837389	8.83034082	30.0112175

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